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</div><h2>SL Paper 1</h2><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A researcher consulted 500 men and women to see if the colour of the car they drove was independent of gender. A \(\chi^2\) test for independence was carried out.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the null hypothesis.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The colours of the cars were red, green, blue, black and silver.</span></p>
<p><span>Find the number of degrees of freedom for this test.<br></span></p>
<p><span> </span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>At the 5 % significance level the \(\chi_{calc}^2\) was found to be 8.73.</span></p>
<p><span>Write down the critical value, \(\chi_{crit}^2\), for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>Colour of car is independent of gender. (Colour of car and gender are</span> <span>independent) <em><strong>(A1)</strong></em> <em><strong>(C1)</strong></em></span></p>
<p><span><strong>Note:</strong> Accept “not associated”. Do not accept “not related”, “not correlated” </span><span>or “not linked”.</span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(2 − 1)(5 </span><span><span>− </span>1) = 4 <em><strong>(M1)(A1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\chi_{crit}^2 = 9.488\) <em><strong>(A1)</strong></em><strong>(ft)</strong> <em><strong>(C1)</strong></em></span></p>
<p><span><strong>Notes:</strong> Accept 9.49. Follow through from part (b).<br></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by the majority of the candidates, many scoring the maximum number of marks. It was disappointing to see the number of candidates who left this question blank.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by the majority of the candidates, many scoring the maximum number of marks. It was disappointing to see the number of candidates who left this question blank.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question was well answered by the majority of the candidates, many scoring the maximum number of marks. It was disappointing to see the number of candidates who left this question blank.</span></p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 20.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">\(180\) spectators at a swimming championship were asked which, of four swimming styles, was the one they preferred to watch.</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 20.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The results of their responses are shown in the table.</span></p>
<p style="font: normal normal normal 20px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><span style="font-family: 'times new roman', times; font-size: medium;"><img src="images/Schermafbeelding_2014-09-03_om_06.29.26.png" alt></span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 20.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A \({\chi ^2}\) test was conducted at the \(5\%\) significance level.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the null hypothesis for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of degrees of freedom.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of \(\chi _{calc}^2\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The critical value, at the \(5\%\) significance level, is \(7.815\).</span></p>
<p><span>State, giving a reason, the conclusion to the test.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>The (preferred) swimming style is independent of gender <strong><em>(A1) (C1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Accept “not associated”. Do not accept “not related”, “not correlated” or “not influenced”.</span></p>
<p> </p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(3\) <strong><em>(A1) (C1)</em></strong></span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\chi _{calc}^2 = 16.4{\text{ (16.4285}} \ldots {\text{)}}\) <strong><em>(A2) (C2)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Do not accept the Null Hypothesis (Reject the Null Hypothesis).</span></p>
<p><span>\(\chi _{calc}^2 > \chi _{crit}^2\) <strong>OR</strong> \(16.4 > 7.815\) <strong><em>(R1)(A1)</em>(ft)</strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>Do not accept the Null Hypothesis (Reject the Null Hypothesis).</span></p>
<p><span>\(p\)-value of \({\text{9.26148}} \ldots \times {10^{ - 4}} < 0.05\) <strong><em>(R1)(A1)</em>(ft) <em>(C2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Follow through from their answer to part (c).</span></p>
<p><span> Accept “(preferred) swimming style is not independent (dependent) of gender” as the conclusion.</span></p>
<p><span> Do not award <strong><em>(R0)(A1)</em></strong>.</span></p>
<p><span> If using the \(p\)-value the value must be seen.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was well answered by the majority of the candidates, many scoring the mark.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was well answered by the majority of the candidates, many scoring the mark.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was well answered by the majority of the candidates, many scoring both marks.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 19.0px Arial;"><span style="font-family: 'times new roman', times; font-size: medium;">This question was well answered by the majority of the candidates, many scoring both marks.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 16.0px 'Times New Roman'; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">The heights of apple trees in an orchard are normally distributed with a mean of \({\text{3.42 m}}\) and a standard deviation of \({\text{0.21 m}}\).</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the probability that a randomly chosen tree has a height greater than \({\text{3.42 m}}\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the probability that a randomly chosen tree will be within 2 standard deviations of the mean of \({\text{3.42 m}}\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to calculate the probability that a randomly chosen tree will have a height greater than \({\text{3.35 m}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The probability that a particular tree is less than \(x\) metres high is \(0.65\). Find the value of \(x\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.5{\text{ }}\left( {50\% ,{\text{ }}\frac{{50}}{{100}},{\text{ }}\frac{1}{2}} \right)\) <strong><em>(A1) (C1)</em></strong></span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.954 (0.954499…, 95.4\%, 95.4499…\%)\) <strong><em>(A1) (C1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Accept \(95\%\) or \(0.95\).</span></p>
<p> </p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span><br><img src="images/Schermafbeelding_2014-09-02_om_15.16.37.png" alt> <strong><em>(M1)</em></strong></span></span></p>
<p> </p>
<p><span><strong>Note: </strong>Accept alternative methods.</span></p>
<p> </p>
<p><span>\(0.631 (0.630558…, 63.1\%, 63.0558…\%)\) <strong><em>(A1) (C2)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span><img src="images/Schermafbeelding_2014-09-02_om_15.18.08.png" alt> <strong><em>(M1)</em></strong></span></span></p>
<p> </p>
<p><span><strong>Note: </strong>Accept alternative methods.</span></p>
<p> </p>
<p><span>\(3.50{\text{ }} (3.50091...)\) <strong><em>(A1) (C2)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Members of a certain club are required to register for one of three sports, badminton, volleyball or table tennis. The number of club members of each gender choosing each sport in a particular year is shown in the table below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">A \({\chi ^2}\) (Chi-squared) test at the \(5\% \) significance level is used to determine whether the choice of sport is independent of gender.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the expected number of female volleyball players under this hypothesis.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the \(p\)-value for the test.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State, with a reason, the conclusion of the test.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{50}}{{120}} \times \frac{{35}}{{120}} \times 120\) <strong>OR</strong> \(\left( {\frac{{50 \times 35}}{{120}}} \right)\) <em><strong>(M1)</strong></em></span></p>
<p><span>\( = 14.6\) (\(14.5833 \ldots \)) <em><strong>(A1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><span>\(0.0746\) </span><span> <em><strong>(A2)</strong></em> <em><strong>(C2)</strong></em></span></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Since \(p{\text{-value}} > 5\% \), the choice of the sport is independent of gender. <strong><em>(R1)(A1)</em>(ft)</strong> <em><strong>(C2)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> The <em><strong>(R1)</strong></em> is awarded for the explicit comparison, the <strong><em>(A1)</em>(ft)</strong> is awarded for a consistent conclusion with their answer in part (c).</span><br><span>It is therefore possible that <em><strong>(R1)(A0)</strong></em> may be awarded, but <em><strong>(R0)(A1)</strong></em> can never be awarded.</span></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium;"><span style="font-family: times new roman,times;">Tony wants to carry out a \({\chi ^2}\)</span> <span style="font-family: times new roman,times;">test to determine whether or not a person’s choice</span> <span style="font-family: times new roman,times;">of one of the three professions; engineering, medicine or law is influenced by the</span> <span style="font-family: times new roman,times;">person’s sex (gender).</span></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State the null hypothesis, H<sub>0</sub>, for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of degrees of freedom.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Of the 400 people Tony interviewed, 220 were male and 180 were female.</span> <span>80 of the people had chosen engineering as a profession.</span></p>
<p><span>Calculate the expected number of female engineers.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Tony used a 5 % level of significance for his test and obtained a <em>p</em>-value of 0.0634 correct to 3 significant figures.</span></p>
<p><span>State Tony’s conclusion to the test. Give a reason for this conclusion.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>Chosen profession is independent of gender. <em><strong>(A1)</strong></em></span></p>
<p><strong><span>OR</span></strong></p>
<p><span>There is no association between gender and chosen profession. <em><strong>(A1) (C1)</strong></em></span></p>
<p><span><strong>Note:</strong> Do not accept “not related”, “not correlated” or “not influenced”.</span></p>
<p><span> </span></p>
<p><em><strong><span>[1 mark]</span></strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>2 <em><strong>(A1)</strong></em> <em><strong>(C1)</strong></em></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{180 \times 80}}{{400}}\) </span> <span><em><strong>(M1)</strong></em></span></p>
<p><span><strong>OR</strong><em><br></em></span></p>
<p><span>\(\frac{{180}}{{400}} \times \frac{{80}}{{400}} \times 400\) <em><strong> (M1)</strong></em></span></p>
<p><span>\( = 36\) <strong><em> (A1) (C2)</em><br></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><em>p</em>-value > 0.05<em><strong> (R1)</strong></em></span></p>
<p><span>Accept H<sub>0</sub><strong><em> (A1) (C2)</em></strong></span></p>
<p><span> </span></p>
<p><span><strong>Note:</strong> Do not award <em><strong>(R0)(A1)</strong></em>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The first two parts of this question were very well answered but a number of students found calculating the required expected value in part c) difficult. Very few knew how to use the given <em>p</em>-value in order to decide whether to reject or retain the null hypothesis. There were some candidates who did not attempt this question at all which might be indicating that this topic had not been discussed in some schools.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The first two parts of this question were very well answered but a number of students found calculating the required expected value in part c) difficult. Very few knew how to use the given <em>p</em>-value in order to decide whether to reject or retain the null hypothesis. There were some candidates who did not attempt this question at all which might be indicating that this topic had not been discussed in some schools.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The first two parts of this question were very well answered but a number of students found calculating the required expected value in part c) difficult. Very few knew how to use the given <em>p</em>-value in order to decide whether to reject or retain the null hypothesis. There were some candidates who did not attempt this question at all which might be indicating that this topic had not been discussed in some schools.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The first two parts of this question were very well answered but a number of students found calculating the required expected value in part c) difficult. Very few knew how to use the given <em>p</em>-value in order to decide whether to reject or retain the null hypothesis. There were some candidates who did not attempt this question at all which might be indicating that this topic had not been discussed in some schools.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The producer of a TV dancing show asked a group of <span class="s1">150 </span>viewers their age and the type of Latin dance they preferred. The types of Latin dances in the show were Argentine tango, Samba, Rumba and Cha-cha-cha. The data obtained were organized in the following table.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-20_om_14.07.46.png" alt></p>
<p class="p1">A \({\chi ^2}\) <span class="s1">test was carried out, at the 5</span>% significance level.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the null hypothesis for this test.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the observed number of viewers who preferred Rumba <strong>and </strong>were older than <span class="s1">20 </span>years old.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Use your graphic display calculator to find the \(p\)-value for this test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The producer claims that the type of Latin dance a viewer preferred is independent of their age.</p>
<p class="p1">Decide whether this claim is justified. Give a reason for your decision.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({{\text{H}}_0}\) the type of Latin dance the viewer prefers is independent of their age <span class="Apple-converted-space"> </span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: </strong>Accept “not dependent” or “not associated”. Do not accept “not correlated” or “not related” or “not connected”.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="s1">\(18\) <span class="Apple-converted-space"> </span></span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C1)</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(p = 0.0876\;\;\;(0.0875813 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A2) <span class="Apple-converted-space"> </span>(C2)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A2) </em></strong>for \(0.088\).</p>
<p class="p1">Award <strong><em>(A1)(A0) </em></strong>for an answer of \(0.0875\)<span class="s1">.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(0.05 < \) their \(p\)-value <span class="Apple-converted-space"> </span><strong><em>(R1)</em></strong></p>
<p class="p1">the producer’s claim is justified <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft) <span class="Apple-converted-space"> </span><em>(C2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Do not award <strong><em>(R0)(A1)</em>(ft)</strong>. Follow through from their answer to (c). If there is no answer in part (c), award <strong><em>(R1)(A0) </em></strong>for stating the relationship between the independence <strong>and </strong>the \(p\)-value compared to \(0.05\).</p>
<p class="p1">If <strong><em>(R1) </em></strong>is awarded, award <strong><em>(A1)</em>(ft) </strong>for the answer ‘yes’ or the answer ‘no’ if it is consistent with their reasoning.</p>
<p class="p1">Similarly, allow ‘accept \({{\text{H}}_0}\)’ or ‘reject \({{\text{H}}_0}\)’ if consistent with their reasoning.</p>
<p class="p1">Award <strong><em>(R0) </em></strong>for comparing \(p\) with the critical value.</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A market researcher consulted males and females to determine whether the type of coffee they drink is associated with gender. The types of coffee are Cappuccino, Latte, Americano, Macchiato and Espresso. A \({\chi ^2}\) test was conducted, at the 5 % significance level and the \({\chi ^2}\) value was found to be 8.73.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down</span><span> the null hypothesis</span><span>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the alternative hypothesis.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of degrees of freedom for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the critical value for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State whether the type of coffee drunk is independent of gender. Give a reason for your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>Type of coffee drunk is <strong>independent</strong> of gender. <em><strong> (A1)</strong></em></span></p>
<p><span> </span></p>
<p><span><strong>Note:</strong> Accept is “not associated”. Do not accept “not related”, </span><span>“not correlated” or “not influenced”.</span></p>
<p><span> </span></p>
<p><em><strong><span>[1 mark]</span></strong></em></p>
<p><span> </span></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Type of coffee drunk is <strong>not independent</strong> of gender. <strong><em> (A1)</em>(ft)<em> (C2)</em></strong></span></p>
<p><span><strong><em> </em></strong></span></p>
<p><strong>Note:</strong> If hypotheses are reversed award <strong><em>(A0)(A1)</em>(ft)</strong>.</p>
<p><span><strong><em> </em></strong></span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>4 <em><strong> (A1) (C1)</strong></em></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\chi ^2}({\text{crit}}) = 9.488\) <em><strong> (A1)</strong></em><strong>(ft) </strong><em><strong> (C1)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Accept 9.49.</span></p>
<p><span> </span></p>
<p><em><strong><span>[1 mark]</span></strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\chi ^2}({\text{calc}}) < {\chi ^2}({\text{crit}}),{\text{ }}8.73 < 9.488\) <em><strong> (R1)</strong></em></span></p>
<p><span>Accept the null hypothesis (Accept type of coffee is independent </span><span>of gender). <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></span></p>
<p><span> </span></p>
<p><span><strong>Notes:</strong> Follow through from their answer to part (c).</span></p>
<p><span>Do not award <em><strong>(R0)(A1)</strong></em>.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 mark]</span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates gained full marks on this question. However, a number of candidates did not</span> <span style="font-size: medium; font-family: times new roman,times;">answer at all or stopped after either correctly or incorrectly defining H<sub>0</sub> and/or H<sub>1</sub>. Many </span><span style="font-size: medium; font-family: times new roman,times;">incorrect versions of ‘independent’ were seen and candidates should be advised that the terms</span> <span style="font-size: medium; font-family: times new roman,times;">not related, not correlated and not influenced will not be awarded marks. There were an</span> <span style="font-size: medium; font-family: times new roman,times;">encouraging number of full marks gained on this question.</span></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin: 0.0px 0.0px 10.0px 0.0px; font: 16.0px Times; color: #3f3f3f;"><span style="font-family: 'times new roman', times; font-size: medium;">Many candidates gained full marks on this question. However, a number of candidates did notanswer at all or stopped after either correctly or incorrectly defining H<span style="font: 12.0px Times;">0</span> and/or H<span style="font: 12.0px Times;">1</span>. Many incorrect versions of ‘independent’ were seen and candidates should be advised that the termsnot related, not correlated and not influenced will not be awarded marks. There were anencouraging number of full marks gained on this question.</span></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates gained full marks on this question. However, a number of candidates did not</span> <span style="font-size: medium; font-family: times new roman,times;">answer at all or stopped after either correctly or incorrectly defining H<sub>0</sub> and/or H<sub>1</sub>. Many </span><span style="font-size: medium; font-family: times new roman,times;">incorrect versions of ‘independent’ were seen and candidates should be advised that the terms</span> <span style="font-size: medium; font-family: times new roman,times;">not related, not correlated and not influenced will not be awarded marks. There were an</span> <span style="font-size: medium; font-family: times new roman,times;">encouraging number of full marks gained on this question.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates gained full marks on this question. However, a number of candidates did not</span> <span style="font-size: medium; font-family: times new roman,times;">answer at all or stopped after either correctly or incorrectly defining H<sub>0</sub> and/or H<sub>1</sub>. Many </span><span style="font-size: medium; font-family: times new roman,times;">incorrect versions of ‘independent’ were seen and candidates should be advised that the terms</span> <span style="font-size: medium; font-family: times new roman,times;">not related, not correlated and not influenced will not be awarded marks. There were an</span> <span style="font-size: medium; font-family: times new roman,times;">encouraging number of full marks gained on this question.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates gained full marks on this question. However, a number of candidates did not</span> <span style="font-size: medium; font-family: times new roman,times;">answer at all or stopped after either correctly or incorrectly defining H<sub>0</sub> and/or H<sub>1</sub>. Many </span><span style="font-size: medium; font-family: times new roman,times;">incorrect versions of ‘independent’ were seen and candidates should be advised that the terms</span> <span style="font-size: medium; font-family: times new roman,times;">not related, not correlated and not influenced will not be awarded marks. There were an</span> <span style="font-size: medium; font-family: times new roman,times;">encouraging number of full marks gained on this question.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A study was carried out to determine whether the country chosen by students for their university studies was influenced by a person’s gender. A random sample was taken. The results are shown in the following table.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; min-height: 25px; text-align: center; margin: 0px;"><span style="font-family: 'times new roman', times; font-size: medium;"><br><img src="images/Schermafbeelding_2014-09-20_om_07.38.20.png" alt><br></span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"> </span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A \({\chi ^2}\) test was performed at the 1% significance level.</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The critical value for this test is 9.210.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State the null hypothesis.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of degrees of freedom.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down</span></p>
<p><span>(i) the \({\chi ^2}\) statistic;</span></p>
<p><span>(ii) the associated <em>p</em>-value.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State, giving a reason, whether the null hypothesis should be accepted.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>Country chosen and gender are independent. <strong><em>(A1) (C1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Accept there is no association between country chosen and gender.</span></p>
<p><span> Do not accept “not related” or “not correlated” or “influenced”.</span></p>
<p> </p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>2 <strong><em>(A1) (C1)</em></strong></span></p>
<p><span><strong><em>[1 mark]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>(i) 9.17 (9.16988…) <strong><em>(A1)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Accept 9.169.</span></p>
<p> </p>
<p><span>(ii) 0.0102 (0.0102043…) <strong><em>(A1) (C2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for 0.010, but <strong><em>(A0) </em></strong>for 0.01.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Since \(0.0102 > 0.01\), we accept the null hypothesis. <strong><em>(R1)(A1)</em>(ft)</strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>Since \(9.17 < 9.210\), we accept the null hypothesis. <strong><em>(R1)(A1)</em>(ft) <em>(C2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>To award <strong><em>(R1) </em></strong>there should be value(s) given in part (c). If a value is given in (c), we do not need it explicitly stated again in (d).</span></p>
<p><span> It is sufficient to state a correct comparison.</span></p>
<p><span> e.g. \(p{\text{-value}} > {\text{significance level}}\) <strong>OR</strong> \(\chi _{{\text{calc}}}^2 < {\text{critical value}}\)</span></p>
<p><span> Do not award <strong><em>(R0)(A1)</em></strong>. Follow through from part (c).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The number of calories a person burns during a walk depends on the time they spend walking. The table below shows the number of calories, y, burned by a person in relation to the time they spend walking, <em>x</em>, in minutes.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to write down the equation of the regression line for <em>y</em> on <em>x</em> in the form <em>y</em> = <em>ax</em> + <em>b </em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your equation to estimate the number of calories that a person will burn during a 17 minute walk.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State whether your answer to part (b) is reliable. Give a reason for your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><em>y</em> = 14.9<em>x</em> – 80 <em><strong>(A1)(A1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for 14.9<em>x</em> and <em><strong>(A1)</strong></em> for –80. Award at most <em><strong>(A0)(A1)</strong></em> if not given in the form of an equation.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>14.9 × 17 – 80 <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for substitution in their equation from part (a).</span></p>
<p> </p>
<p><span>173.3 calories <em><strong>(A1)</strong></em><strong>(ft)</strong> <em><strong>(C2)</strong></em></span></p>
<p><span><strong>Note:</strong> Accept 173 and 170 even if no working is seen.</span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Reliable. 17 min is in the range of given values for <em>x</em> <strong>or</strong> correlation coefficient (<em>r</em>) is 0.989… <em><strong>(A1)(R1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<p><span><strong>Notes:</strong> Do not award <em><strong>(A1)(R0)</strong></em>. Alternative acceptable reasons using correlation:</span></p>
<p><span>Correlation coefficient close to 1</span></p>
<p><span>Strong positive correlation</span></p>
<p><span>Strong linear correlation</span></p>
<p><span>Strong positive association between the variables</span></p>
<p><span>Strong relationship between the variables.</span></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was an opportunity for candidates to show effective use of the GDC and many correct answers were seen in parts (a) and (b). </span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">This question was an opportunity for candidates to show effective use of the GDC and many correct answers were seen in parts (a) and (b). </span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Part (c) was unusual in that questions of this nature, in the past, have focused on values outside of the range of given values of <em>x</em>. For correct reasoning, candidates were required to identify that 17 was in the range of values given for <em>x</em> in the table. Identifying that 17 was between 15 and 20 minutes was sufficient whereas identifying that 173 was between 125 and 200 was clearly not sufficient. Alternative reasons which focused on the correlation coefficient being either strong positive or close to one were seen and were accepted.</span></p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The mass of a certain type of Chilean corncob follows a normal distribution with a mean of 400 grams and a standard deviation of 50 grams.</p>
</div>
<div class="specification">
<p>A farmer labels one of these corncobs as premium if its mass is greater than \(a\) grams. 25% of these corncobs are labelled as premium.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the probability that the mass of one of these corncobs is greater than 400 grams.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of \(a\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the interquartile range of the distribution.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(0.5{\text{ }}\left( {50\% ,{\text{ }}\frac{1}{2}} \right)\) <strong><em>(A1)</em></strong> <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({\text{P}}(X > a) = 0.25\)\(\,\,\,\)<strong>OR</strong>\(\,\,\,\)\({\text{P}}(X < a) = 0.75\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(M1) </em></strong>for a sketch of approximate normal curve with a vertical line drawn to the right of the mean with the area to the right of this line shaded.</p>
<p> </p>
<p>\(a = 434{\text{ (g) }}\left( {433.724 \ldots {\text{ (g)}}} \right)\) <strong><em>(A1)</em></strong> <strong><em>(C2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(33.7244 \ldots \times 2\) <strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft) </strong>for \(33.7244 \ldots {\text{ }}({\text{or }}433.7244 \ldots {\text{ }} - {\text{ }}400)\) seen, award <strong><em>(M1) </em></strong>for multiplying their 33.7244… by 2. Follow through from their answer to part (b).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\(434 - 366.275 \ldots \) <strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft) </strong>for their \(366.275 \ldots {\text{ }}(366)\) seen, <strong><em>(M1) </em></strong>for difference between their answer to (b) and their 366.</p>
<p> </p>
<p><strong>OR</strong></p>
<p><img src="images/Schermafbeelding_2017-08-16_om_07.56.55.png" alt="M17/5/MATSD/SP1/ENG/TZ2/11.c/M"> <strong><em>(A1)</em>(ft)<em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft) </strong>for their \(366.275 \ldots {\text{ }}(366)\) seen. Award <strong><em>(M1) </em></strong>for correct symmetrical region indicated on labelled normal curve.</p>
<p> </p>
<p>67.4 (g) <strong><em>(A1)</em>(ft)</strong> <strong><em>(C3)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Accept an answer of 68 from use of rounded values<strong><em>. </em></strong>Follow through from part (b).</p>
<p> </p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A group of 100 students gave the following responses to the question of how they get to school.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><span style="font-family: 'times new roman', times; font-size: medium;"><br><img src="images/Schermafbeelding_2014-09-02_om_14.46.51.png" alt><br></span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"> </span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A \({\chi ^2}\) test for independence was conducted at the \(5\%\) significance level. The null hypothesis was defined as</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"> </span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><span style="font-family: 'times new roman', times; font-size: medium;">\({{\text{H}}_0}\): Method of getting to school is independent of gender.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the expected frequency for the females who use public transport to get to school.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the \({\chi ^2}\) statistic.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The \({\chi ^2}\) critical value is \(7.815\) at the \(5\%\) significance level.</span></p>
<p><span>State whether or not the null hypothesis is accepted. Give a reason for your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(\frac{{30}}{{100}} \times \frac{{48}}{{100}} \times 100\) <strong>OR</strong> \(\frac{{30 \times 48}}{{100}}\) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution into correct formula.</span></p>
<p> </p>
<p><span>\( = 14.4{\text{ }}\left( {\frac{{72}}{5}} \right)\) <strong><em>(A1) (C2)</em></strong></span></p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(13.0{\text{ }}(12.9554…)\) <strong><em>(A2) (C2)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(A1)(A0) </em></strong>for \(12.9\).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>the null hypothesis is not accepted <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span>\(\chi _{calc}^2 > \chi _{crit}^2\) <strong>OR</strong> \(13.0 > 7.82\) <strong><em>(R1)</em></strong></span></p>
<p><span><strong>OR</strong></span></p>
<p><span>the null hypothesis is not accepted <strong><em>(A1)</em>(ft)</strong></span></p>
<p><span><em>p</em>-value \({\text{(0.0047) (0.00473391}} \ldots {\text{)}} < 0.05\) <strong><em>(R1) (C2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Follow through from their answer to part (b).</span></p>
<p><span> Do not award <strong><em>(A1</em>)(ft)<em>(R0)</em></strong>.</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A survey was carried out to investigate the relationship between a person’s age in years ( \(a\)) and the number of hours they watch television per week (\(h\)). The scatter diagram represents the results of the survey.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-02-12_om_18.00.45.png" alt="N17/5/MATSD/SP1/ENG/TZ0/05"></p>
<p>The mean age of the people surveyed was 50.</p>
<p>For these results, the equation of the regression line \(h\) on \(a\) is \(h = 0.22a + 15\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the mean number of hours that the people surveyed watch television per week.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the regression line on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>By placing a tick (✔) in the correct box, determine which of the following statements is true:</p>
<p><img src="images/Schermafbeelding_2018-02-13_om_07.09.18.png" alt="N17/5/MATSD/SP1/ENG/TZ0/05.c"></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Diogo is 18 years old. Give a reason why the regression line should not be used to estimate the number of hours Diogo watches television per week.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(0.22(50) + 15\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution of 50 into equation of the regression line.</p>
<p> </p>
<p>\(( = ){\text{ }}26\) <strong><em>(A1) (C2)</em></strong></p>
<p><strong>OR</strong></p>
<p>\(\frac{{655}}{{25}}\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correctly summing the \(h\) values of the points, and dividing by 25.</p>
<p> </p>
<p>\(( = ){\text{ }}26.2\) <strong><em>(A1) (C2)</em></strong></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>line through \((50,{\text{ }}26 \pm 1)\) and \((0,{\text{ }}15)\) <strong><em>(A1)</em>(ft)<em>(A1) (C2)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(A1)</em>(ft) </strong>for a straight line through (50, their \(\bar h\)), and <strong><em>(A1) </em></strong>for the line intercepting the \(y\)-axis at \((0,{\text{ }}15)\); this may need to be extrapolated. Follow through from part (a). Award at most <strong><em>(A0)(A1) </em></strong>if the line is not drawn with a ruler.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="images/Schermafbeelding_2018-02-13_om_07.53.00.png" alt="N17/5/MATSD/SP1/ENG/TZ0/05.c/M"> <strong><em>(A1) (C1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(A0) </em></strong>if more than one tick (✔) is seen.</p>
<p> </p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>18 is less than the lowest age in the survey <strong>OR </strong>extrapolation. <strong><em>(A1) (C1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Accept equivalent statements<em>.</em></p>
<p> </p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A market researcher surveyed men and women about their preferred holiday destination. The holiday destinations were Antigua, Barbados, Cuba, Guadeloupe and Jamaica. A \(\chi^2\) test for independence was conducted at the 5 % significance level. </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The </span><span style="font-size: medium; font-family: times new roman,times;"><span style="font-size: medium; font-family: times new roman,times;">\(\chi^2\)</span> calculated value was found to be 8.73.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the null hypothesis.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of degrees of freedom for this test.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the critical value for this test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State the conclusion of this test. Give a reason for your decision.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>Holiday destination is independent of gender. <em><strong>(A1)</strong></em> <em><strong>(C1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Accept gender is independent of holiday destination, accept <em>“not associated”</em>, do not accept <em>“not correlated”</em>.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\((2 - 1)(5-1)\) <em><strong>(M1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution in the correct formula.</span></p>
<p><br><span>\(= 4\) <em><strong>(A1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>9.488 <em><strong>(A1)</strong></em><strong>(ft)</strong> <em><strong>(C1)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Follow through from their answer to part (b). Accept 9.49.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Accept the null hypothesis <strong>or</strong> Accept H<sub>0</sub>. <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span><strong>Note:</strong> Accept gender is independent of holiday destination.</span></p>
<p><br><span>\(\chi_{({\text{calc}})}^2 < \chi_{({\text{crit}})}^2\) <strong>or</strong> 8.73 < 9.488 <em><strong>(R1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Do not award <em><strong>(A1)(R0)</strong></em>. Follow through from their answer in part (c).</span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A survey investigated the relationship between the number of cleaners, \(n\), and the amount of time, \(t\), it takes them to clean a school.</span></p>
<div style="text-align: center;"><br><img src="images/Schermafbeelding_2014-09-02_om_15.05.16.png" alt></div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to write down the equation of the regression line \(t\) on \(n\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of the Pearson’s product–moment correlation coefficient, \(r\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your regression equation to find the amount of time 4 cleaners take to clean the school.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(t = - 20.1n + 205\)</span></p>
<p><span>\(t = (-20.1046 \ldots )n + (204.755 \ldots )\) <strong><em>(A1)(A1) (C2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for \(-20.1\) and \(205\) seen,</span></p>
<p><span><strong><em> (A1) </em></strong>for an equation involving \(t\) and \(n\)<em>.</em></span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(-0.941 (-0.941366…)\) <strong><em>(A2) (C2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Award <strong><em>(A0)(A1) </em></strong>for \( +0.941\).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(-20.1046 \ldots \times 4 + 204.755 \ldots \) <strong><em>(M1)</em></strong></span></p>
<p> </p>
<p><span><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for substitution into their regression equation.</span></p>
<p> </p>
<p><span>\(124\) (minutes) (\(124.337…\)) <strong><em>(A1)</em>(ft) <em>(C2)</em></strong></span></p>
<p> </p>
<p><span><strong>Notes: </strong>Follow through from their regression equation found in part (a). Accept \(125\) (minutes) (\(124.6\)).</span></p>
<p> </p>
<p><span><strong><em>[2 marks]</em></strong></span></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The marks obtained by 8 candidates in Physics and Chemistry tests are given below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the product moment correlation coefficient, \(r\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down, in the form \(y = mx + c\) , the equation of the regression line \(y\) on \(x\) for the \(8\) candidates.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A ninth candidate obtained a score of \(7\) in the Physics test but was absent for the Chemistry test.</span></p>
<p><span>Use your answer to (b) to estimate the score he would have obtained on the Chemistry test.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Give a reason why it is valid to use this regression line to estimate the score on the Chemistry test in part (c).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.965\) <em><strong>(A1) (C1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y = 1.15x + 0.976\) <em><strong>(A1)(A1) (C2)</strong></em><br></span></p>
<p><br><span><strong>Note: <em>(A1)</em></strong> for \(1.15x\). <em><strong>(A1)</strong></em> for \( + 0.976\).</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y = 1.15(7) + 0.976\) <em><strong>(</strong><strong>M1)</strong></em></span></p>
<p><span>\({\text{Chemistry}} = 9.03\) <em>(accept</em> \(9\)<em>)</em> <em><strong>(A1)</strong></em><strong>(ft) <em>(C2)</em></strong></span></p>
<p><span><strong>Note:</strong> Follow through from candidate's answer to (b) even if no working is seen. Award <strong><em>(A2)</em>(ft)</strong>.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>the correlation coefficient is close to \(1\)</span></p>
<p><span><strong>OR</strong> strongly correlated variables</span></p>
<p><span><strong>OR</strong> \(7\) lies within the range of physics marks. <em><strong>(R1) (C1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The level of accuracy required by the paper was often ignored in this question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">(a) Some candidates are unable to recover \(r\) from a reset calculator.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The level of accuracy required by the paper was often ignored in this question.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The level of accuracy required by the paper was often ignored in this question.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">(c) Many candidates seem to be unaware when it is appropriate to use a regression line.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">The level of accuracy required by the paper was often ignored in this question.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Applicants for a job had to complete a mathematics test. The time they took to complete the test is normally distributed with a mean of 53 minutes and a standard deviation of 16.3. One of the applicants is chosen at random.</p>
</div>
<div class="specification">
<p>For 11% of the applicants it took longer than \(k\) minutes to complete the test.</p>
</div>
<div class="specification">
<p>There were 400 applicants for the job.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that this applicant took at least 40 minutes to complete the test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of \(k\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the number of applicants who completed the test in less than 25 minutes.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>0.787 (0.787433…, 78.7%) <strong><em>(M1)(A1) (C2)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for a correct probability statement, \({\text{P}}(X > 40)\), or a correctly shaded normal distribution graph.</p>
<p> </p>
<p><img src="images/Schermafbeelding_2018-02-13_om_13.12.51.png" alt="N17/5/MATSD/SP1/ENG/TZ0/13.a/M"></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>73.0 (minutes) (72.9924…) <strong><em>(M1)(A1) (C2)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for a correct probability statement, \({\text{P}}(X > k) = 0.11\), or a correctly shaded normal distribution graph.</p>
<p> </p>
<p><img src="images/Schermafbeelding_2018-02-13_om_13.16.45.png" alt="N17/5/MATSD/SP1/ENG/TZ0/13.b/M"></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(0.0423433 \ldots \times 400\) <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for multiplying a probability by 400. Do not award <strong><em>(M1) </em></strong>for \(0.11 \times 400\).</p>
<p>Use of a lower bound less than zero gives a probability of 0.0429172….</p>
<p>\( = 16\) <strong><em>(A1) (C2)</em></strong></p>
<p> </p>
<p><strong>Notes: </strong>Accept a final answer of 17. Do not accept a final answer of 18. Accept a non-integer final answer either 16.9 (16.9373…) from use of lower bound zero or 17.2 (17.1669…) from use of the default lower bound of \(-{10^{99}}\).</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Tania wishes to see whether there is any correlation between a person’s age and the number of objects on a tray which could be remembered after looking at them for a certain time.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">She obtains the following table of results.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find the equation of the regression line of <em>y</em> on <em>x</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your equation to estimate the number of objects remembered by a person aged 28 years.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find the correlation coefficient <em>r</em>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Comment on your value for <em>r</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(a = -0.134, b = 20.9\) <em><strong>(A1)</strong></em></span></p>
<p><span>\(y = 20.9 - 0.134x\)</span><span> <em><strong>(A1) (C2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>17 objects <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><em><span>accept only 17 <strong>(C1)</strong></span></em></p>
<p><em><span><strong>[1 mark]</strong></span></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(r = -0.756\) <em><strong>(A1)</strong></em> <em><strong>(C1)</strong></em></span></p>
<p><span><em><strong>[1 mark]</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>negative and moderately strong <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1)</strong></em><strong>(ft)</strong> <em><strong>(C2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question expected the candidates to use their GDC to find the equation of the regression line and to find the correlation coefficient and this was stated in the question parts. However, there were a number of candidates from specific schools who had not been taught to do this and they tried to find the equation from the formula in the information booklet. This would have wasted time and they did not manage to find the correct answer. This was also the case for the correlation coefficient. However, most candidates who found a correlation coefficient managed to comment on it correctly.</span></p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question expected the candidates to use their GDC to find the equation of the regression line and to find the correlation coefficient and this was stated in the question parts. However, there were a number of candidates from specific schools who had not been taught to do this and they tried to find the equation from the formula in the information booklet. This would have wasted time and they did not manage to find the correct answer. This was also the case for the correlation coefficient. However, most candidates who found a correlation coefficient managed to comment on it correctly.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not give a whole number answer for the number of objects in part (b).</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question expected the candidates to use their GDC to find the equation of the regression line and to find the correlation coefficient and this was stated in the question parts. However, there were a number of candidates from specific schools who had not been taught to do this and they tried to find the equation from the formula in the information booklet. This would have wasted time and they did not manage to find the correct answer. This was also the case for the correlation coefficient. However, most candidates who found a correlation coefficient managed to comment on it correctly.</span></p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question expected the candidates to use their GDC to find the equation of the regression line and to find the correlation coefficient and this was stated in the question parts. However, there were a number of candidates from specific schools who had not been taught to do this and they tried to find the equation from the formula in the information booklet. This would have wasted time and they did not manage to find the correct answer. This was also the case for the correlation coefficient. However, most candidates who found a correlation coefficient managed to comment on it correctly.</span></p>
<p> </p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A factory makes metal bars. Their lengths are assumed to be normally distributed with a mean of <span class="s1">180 cm </span>and a standard deviation of <span class="s1">5 cm</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the following diagram, shade the region representing the probability that a metal bar, chosen at random, will have a length less than <span class="s1">175 cm</span>.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-20_om_17.53.42.png" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A metal bar is chosen at random.</p>
<p class="p2"><span class="s1">(i) <span class="Apple-converted-space"> </span>The probability that the length of the metal bar is less than 175 cm </span>is equal to the probability that the length is greater than \(h\) <span class="s1">cm</span>. Write down the value of \(h\).</p>
<p class="p2">(ii) <span class="Apple-converted-space"> </span>Find the probability that the length of the metal bar is greater than one standard deviation above the mean.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><img src="data:image/png;base64,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" alt> <span class="Apple-converted-space"> </span><strong><em>(A1)(M1) <span class="Apple-converted-space"> </span>(C2)</em></strong></p>
<p class="p1"><strong>Notes: </strong>Award <strong><em>(A1) </em></strong>for the vertical line labelled as \(175{\text{ (cm)}}\).</p>
<p class="p1">Award <strong><em>(M1) </em></strong>for a vertical line drawn to the left of the mean with the area to the left of this line shaded.</p>
<p class="p1">Accept \(( - )1\) sd marked on the diagram for \(175\)<span class="s1"> </span>(provided line is to the left of the mean).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\(185{\text{ (cm)}}\) <span class="Apple-converted-space"> </span><strong><em>(A1)(C1)</em></strong></p>
<p class="p1"> </p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\({\text{P(length}} > 185)\) <span class="Apple-converted-space"> </span><strong><em>(A1)(M1)</em></strong></p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Award <strong><em>(A1) </em></strong>for the vertical line labelled as \(185{\text{ (cm)}}\).</p>
<p class="p1">Award <strong><em>(M1) </em></strong>for a vertical line drawn to the right of the mean with the area to the right of this line shaded.</p>
<p class="p1">Accept 1 sd marked on the diagram for \(185\)<span class="s1"> </span>(provided line is to the right of the mean).</p>
<p class="p2"> </p>
<p class="p1">\( = 0.159\;\;\;(0.158655 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C3)</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Minta surveyed students from her school about their preferred morning snack from a choice of an apple, a fruit salad or a smoothie.</p>
<p class="p1">She surveyed 350 students, of whom 210 are female.</p>
<p class="p1">She performed a \({\chi ^2}\) test at the 5% significance level to determine whether there is a relationship between the choice of morning snack and gender.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State Minta’s null hypothesis.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the number of degrees of freedom.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">150 students showed a preference for a smoothie.</p>
<p class="p1">Calculate the expected number of female students who chose a smoothie.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Minta found that the calculated value of the \({\chi ^2}\) test was 3.576. The critical value at the 5% significance level is \(5.99\).</p>
<p class="p1">State Minta’s conclusion. Give a reason for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({{\text{H}}_0}\): Choice of morning snack is independent of (not dependent on) gender. <span class="Apple-converted-space"> </span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Accept there is “no association” between snack chosen and gender.</p>
<p class="p1">Do not accept “not related” or “not correlated” or “influenced”.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(2\) <span class="Apple-converted-space"> </span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C1)</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{210 \times 150}}{{350}}\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution in the correct formula.</p>
<p class="p2"> </p>
<p class="p1">\( = 90\) <span class="Apple-converted-space"> </span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C2)</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Null hypothesis is accepted (not rejected). <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1"> </p>
<p class="p1"><strong>OR</strong></p>
<p class="p1">Choice of morning snack is independent of gender <span class="Apple-converted-space"> </span><strong><em>(A1)</em></strong></p>
<p class="p1">\(3.576 < 5.99\;\;\;{\mathbf{OR}}\;\;\;\chi _{{\text{calc}}}^2 < \chi _{{\text{crit}}}^2\) <span class="Apple-converted-space"> </span><strong><em>(R1) <span class="Apple-converted-space"> </span>(C2)</em></strong></p>
<p class="p2"><strong>Note: </strong>Do not award <strong><em>(A1)(R0)</em></strong>.</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>In a school, students in grades 9 to 12 were asked to select their preferred drink. The choices were milk, juice and water. The data obtained are organized in the following table.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_11.06.16.png" alt="M17/5/MATSD/SP1/ENG/TZ1/06"></p>
<p>A \({\chi ^2}\) test is carried out at the 5% significance level with hypotheses:</p>
<p>\[\begin{array}{*{20}{l}} {{{\text{H}}_{\text{0}}}{\text{: the preferred drink is independent of the grade}}} \\ {{{\text{H}}_{\text{1}}}{\text{: the preferred drink is not independent of the grade}}} \end{array}\]</p>
<p>The \({\chi ^2}\) critical value for this test is 12.6.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the value of \(x\).</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the number of degrees of freedom for this test.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use your graphic display calculator to find the \({\chi ^2}\) statistic for this test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the conclusion for this test. Give a reason for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>30 <strong><em>(A1)</em></strong> <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>6 <strong><em>(A1)</em></strong> <strong><em>(C1)</em></strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({\text{19.0 (18.9640)}} \ldots \) <strong><em>(A2)</em>(ft)</strong><em> </em><strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Follow through from part (a).</p>
<p>Award <strong><em>(A1) </em></strong>for truncation to 18.9.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>reject (do not accept) \({{\text{H}}_0}\)\(\,\,\,\)<strong>OR</strong>\(\,\,\,\)accept \({{\text{H}}_1}\) <strong><em>(A1)</em>(ft)</strong></p>
<p> </p>
<p><strong>Note:</strong> Can be written in words.</p>
<p> </p>
<p>\(19.0{\text{ }}(18.9640 \ldots ) > 12.6\) <strong><em>(R1)</em></strong> <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong> Accept “\(\chi _{calc}^2 > \chi _{crit}^2\)” for the <strong><em>(R1) </em></strong>provided their \(\chi _{calc}^2\) value is explicitly seen in their part (c).</p>
<p> </p>
<p><strong>OR</strong></p>
<p>\((p = ){\text{ }}0.00422{\text{ }} < {\text{(significance level = ) }}0.05\) <strong><em>(R1)</em></strong> <strong><em>(C2)</em></strong></p>
<p> </p>
<p><strong>Note:</strong><em> </em>Do not award <strong><em>(R0)(A1)</em>(ft)</strong>. Follow through from part (c). Numerical comparison must be seen to award the <strong><em>(R1)</em></strong>.</p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A shop keeper recorded daily sales <em>s</em> of ice cream along with the daily maximum temperature <em>t</em> °C. The results for one week are shown below.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the equation of the regression line for <em>s</em> on <em>t</em>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your equation to predict the ice cream sales on a day when the maximum temperature is 24 °C. Give your answer correct to the nearest whole number.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(s = 3.56{\text{ }}t - 14.6\) <em><strong>(A1)(A1)(A1)</strong></em> <em><strong>(C3)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Award <em><strong>(A1)</strong></em> for 3.56.</span></p>
<p><span><em><strong>(A1)</strong></em> for –14.6.</span></p>
<p><span><em><strong>(A1)</strong></em> for <em>s</em> and <em>t</em>.</span></p>
<p> </p>
<p><span><strong><em>[3 marks]</em></strong></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(s = 3.56 \times 24 - 14.6\) <em><strong>(M1)</strong></em></span></p>
<p><span>\(= 70.84\) (70.9) <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>= 71 ice creams <em><strong>(A1)</strong></em><strong>(ft)</strong> <em><strong>(C3)</strong></em></span></p>
<p><br><span><strong>Note: (ft)</strong> from candidates answer to (a).</span></p>
<p><br><span><strong>Note:</strong> The last <em><strong>(A1)</strong></em> is for specified accuracy, <strong>(ft)</strong> from their answer.</span></p>
<p><span>The <em><strong>(AP)</strong></em> for the paper is not applied here.</span></p>
<p><span> </span></p>
<p><em><strong><span>[3 marks]</span></strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Some candidates attempted to find the equation by hand, generally without success. Those who used their calculator could quickly find the equation and use it to find the number of ice cream sales. A significant number of candidates lost one mark for writing the equation with <em>y</em> and <em>x</em> rather than <em>s</em> and <em>t</em>. A lesser number lost the accuracy mark for an integral number of ice-creams.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Some candidates attempted to find the equation by hand, generally without success. Those who used their calculator could quickly find the equation and use it to find the number of ice cream sales. A significant number of candidates lost one mark for writing the equation with <em>y</em> and <em>x</em> rather than <em>s</em> and <em>t</em>. A lesser number lost the accuracy mark for an integral number of ice-creams.</span></p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The scores obtained by five candidates in Mathematics and Physics examinations are given below.</span></p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the correlation coefficient, \(r\) , for the examination scores.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the equation of the regression line, \(y\) on \(x\) , for the examination</span> <span>scores of the five candidates.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A sixth candidate scored 72 in the Mathematics examination. Use the regression line, \(y\) on \(x\), to estimate his score on the Physics examination.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\(r = 0.814\) \((0.813745...)\) <em><strong>(A2) (C2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y = 0.888x + 13.5\) \((y = 0.887686 \ldots x + 13.4895 \ldots )\) <em><strong>(A1)(A1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for \(0.888x\), <em><strong>(A1)</strong></em> for \(13.5\). If the answer is not in the form of an equation award <em><strong>(A1)(A0)</strong></em>.</span></p>
<p> </p>
<p><span><strong>OR</strong></span></p>
<p><span>\(y - 63.2 = 0.888(x - 56)\) <em><strong>(A1)(A1) (C2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for \(0.888\), <em><strong>(A1)</strong></em> for the correct means, \(\bar x\) and \(\bar y\) used.</span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(y = 0.887686 \ldots (72) + 13.4895 \ldots \) <em><strong>(M1)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for 72 substituted into their equation of the regression line.</span></p>
<p> </p>
<p><span>\( = 77\) \((77.4028…)\) <strong><em>(A1)</em>(ft) <em>(C2)</em></strong></span></p>
<p><span><strong>Note:</strong> Accept a correct <strong>(ft)</strong> integer value or a decimal value which would</span> <span>round to the required 3 sf answer <strong>(ft)</strong>. Follow through from their </span><span>equation in part (b).</span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Able candidates scored very well on this question showing good use of their GDC and marks</span> <span style="font-size: medium; font-family: times new roman,times;">in excess of 4 were achieved by a large majority of these candidates. It was clear however, </span><span style="font-size: medium; font-family: times new roman,times;">from some responses, that either the topic had not been taught or had been poorly </span><span style="font-size: medium; font-family: times new roman,times;">understood by candidates and few, if any, marks were achieved by such candidates. </span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Able candidates scored very well on this question showing good use of their GDC and marks</span> <span style="font-size: medium; font-family: times new roman,times;">in excess of 4 were achieved by a large majority of these candidates. It was clear however, </span><span style="font-size: medium; font-family: times new roman,times;">from some responses, that either the topic had not been taught or had been poorly </span><span style="font-size: medium; font-family: times new roman,times;">understood by candidates and few, if any, marks were achieved by such candidates. In part </span><span style="font-size: medium; font-family: times new roman,times;">(b), many candidates quoted a correct regression line equation using \(\bar x,\bar y,{s_{xy}}\) and \({s_{{x^2}}}\) but then seemed to be at a loss as to what to do with it.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Able candidates scored very well on this question showing good use of their GDC and marks</span> <span style="font-size: medium; font-family: times new roman,times;">in excess of 4 were achieved by a large majority of these candidates. It was clear however, </span><span style="font-size: medium; font-family: times new roman,times;">from some responses, that either the topic had not been taught or had been poorly </span><span style="font-size: medium; font-family: times new roman,times;">understood by candidates and few, if any, marks were achieved by such candidates. In part </span><span style="font-size: medium; font-family: times new roman,times;">(b), many candidates quoted a correct regression line equation using \(\bar x,\bar y,{s_{xy}}\) and \({s_{{x^2}}}\) but then seemed to be at a loss as to what to do with it.</span></p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Identical mosquito traps are placed at different distances from a lake. On one day the number of mosquitoes caught in 10 <span class="s1">of the traps is recorded.</span></p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-18_om_17.36.55.png" alt></p>
<p class="p2">It is believed the number of mosquitoes caught varies linearly with the distance, in metres, of the trap from the lake.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>Pearson’s product–moment correlation coefficient, \(r\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>the equation of the regression line \(y\) on \(x\).</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Use the equation of the regression line \(y\) on \(x\) to estimate the number of mosquitoes caught in a trap that is \(28\)<span class="s1"> m </span>from the lake.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) \( - 0.998\;\;\;( - 0.997770 \ldots )\) <strong><em>(A2)</em></strong></p>
<p><strong>Note: </strong>Award <strong><em>(A0)(A1) </em></strong>for \(0.998 (0.997770\ldots )\).</p>
<p>Award <strong><em>(A1)(A0) </em></strong>for \(- 0.997\).</p>
<p> </p>
<p>(ii) \(y = - 0.470x + 81.7\;\;\;(y = - 0.469713 \ldots x + 81.7279 \ldots )\) <strong><em>(A1)(A1) (C4)</em></strong></p>
<p><strong>Note: </strong>Award a maximum of <strong><em>(A0)(A1) </em></strong>if the answer is not an equation.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\( - 0.469713 \ldots (28) + 81.7279\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correct substitution of \(28\)<span class="s1"> </span>into their equation of regression line.</p>
<p class="p2"> </p>
<p class="p1">\( = 68.6{\text{ (mosquitoes)}}\;\;\;(68.5759 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft) <span class="Apple-converted-space"> </span><em>(C2)</em></strong></p>
<p class="p1"><strong>Note: </strong>Accept \(68\)<span class="s1"> </span>or \(69\)<span class="s1"> </span>or \(68.5(4)\)<span class="s1"> </span>from use of \(3\)<span class="s1"> </span>sf values.</p>
<p class="p1">Follow through from part (a)(ii).</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>In part (a)(i), the majority of candidates knew how to calculate Pearson’s correlation coefficient using their GDC. The most common errors were incorrect rounding and omitting the – sign. In part (a)(ii) many candidates correctly found the equation of the regression line, again with rounding errors being the most common. A very common error was to use the second list as the frequency for the statistics.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>In part (b) substitution of 28 in the regression line was done correctly by many candidates. Candidates seemed to be well prepared for this type of question.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">\(200\) people of different ages were asked to choose their favourite type of music from the choices Popular, Country and Western and Heavy Metal. The results are shown in the table below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">It was decided to perform a chi-squared test for independence at the \(5\% \) level on the data.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the null hypothesis.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of degrees of freedom.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the chi-squared value.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State whether or not you will reject the null hypothesis, giving a clear reason for your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>Choice of music is independent of age. <em><strong>(A1) (C1)</strong></em></span></p>
<p><span><em><strong>[1 mark]<br></strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\((3 - 1)(3 - 1)\)</span></p>
<p><span>\( = 4\) <em><strong>(A1) (C1)</strong></em></span></p>
<p><span><em><strong>[1 mark]</strong></em><br></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\({\chi ^2} = 51.6\) <em><strong>(A2) </strong><strong>(C2)</strong></em></span></p>
<p><span><strong>Note:</strong> \(52\) is an accuracy penalty <em><strong>(A1)(A0)(AP)</strong></em>.</span></p>
<p><span><em><strong>[2 marks]</strong></em><br></span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(p{\text{-value}} < 0.05\) for \(5\% \) level of significance <em><strong>(R1)</strong></em><strong>(ft)</strong></span></p>
<p><span>or \(51.6 > {\chi ^2}_{crit}\)</span></p>
<p><span>Reject the null hypothesis <em>(do not accept the null hypothesis)</em>. <em><strong>(A1)</strong></em><strong>(ft) <em>(C2)</em></strong></span></p>
<p><span><strong>Note: </strong>Do not award <em><strong>(R0)(A1)</strong></em>.</span></p>
<p><span><strong><em>[2 </em></strong></span><span><strong><em><span><em><strong>marks]</strong></em></span></em></strong></span></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Candidates either gained good marks for this question or almost no marks depending on their preparation. It was obvious that some schools had omitted this from their programme. Candidates generally gave a reason for their conclusion in part (d) though some compared the chi-squared value with the \(p\)-value, resulting in the loss of both marks.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Candidates either gained good marks for this question or almost no marks depending on their preparation. It was obvious that some schools had omitted this from their programme. Candidates generally gave a reason for their conclusion in part (d) though some compared the chi-squared value with the \(p\)-value, resulting in the loss of both marks.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Candidates either gained good marks for this question or almost no marks depending on their preparation. It was obvious that some schools had omitted this from their programme. Candidates generally gave a reason for their conclusion in part (d) though some compared the chi-squared value with the \(p\)-value, resulting in the loss of both marks.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-family: times new roman,times; font-size: medium;">Candidates either gained good marks for this question or almost no marks depending on their preparation. It was obvious that some schools had omitted this from their programme. Candidates generally gave a reason for their conclusion in part (d) though some compared the chi-squared value with the \(p\)-value, resulting in the loss of both marks.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A questionnaire was given to all members of a school community to find out which drink was the most popular to have with breakfast. The results are given in the table below, classified by age.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">A \(\chi^2\) test was conducted to decide whether the type of drink was independent of age.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of degrees of freedom for the \(\chi^2\) test.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the null hypothesis for the \(\chi^2\) test.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The critical value for the </span><span><span>\(\chi^2\)</span> test at the 5% significance level is 12.59. The \(\chi^2\) test statistic is calculated to be 146 with a <em>p</em>-value of 6.62 × 10<sup>−29</sup> (both numbers given correct to 3 significant figures).</span></p>
<p><span>Write down the conclusion reached at the 5 % significance level. Give a clear reason for your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>\( (3 - 1)(4 -1) \) <em><strong>(M1)</strong></em></span></p>
<p><span>= 6 <em><strong>(A1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>The preferred type of drink is <strong>independent</strong> of age. <em><strong>(A1)</strong></em> <em><strong>(C1)</strong></em></span></p>
<p><br><span><strong>Note:</strong> For independent accept “not associated” but do not accept “not related” or “not correlated”</span></p>
<p><span> </span></p>
<p><em><strong><span>[1 mark]</span></strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>Reject null hypothesis as critical value \( < \chi_{calc}^2\) <em><strong>(A1)(R1)</strong></em><strong>(ft)</strong></span></p>
<p><br><span><strong>Note: (ft)</strong> from their value in (c).</span></p>
<p><br><strong><span>OR</span></strong></p>
<p><span>Reject null hypothesis as <em>p</em>-value \(< 0.05\) <em><strong>(A1)(R1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<p><br><span><strong>Notes:</strong> Do not award <em><strong>(A1)(R0)</strong></em>.</span></p>
<p><span>Award the <em><strong>(R1)</strong></em> for comparison of correct values.</span></p>
<p><span> </span></p>
<p><em><strong><span>[2 marks]</span></strong></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused significant difficulties for many candidates. It seemed, from the responses, that the purpose of the test is not well understood, even if its procedure on the GDC can be performed.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The test is one of “independence” and it should be stressed to candidates that it is this which is key in stating the hypotheses. Improper terminology, most notably, “not correlated” is not acceptable.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused significant difficulties for many candidates. It seemed, from the responses, that the purpose of the test is not well understood, even if its procedure on the GDC can be performed.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">This question caused significant difficulties for many candidates. It seemed, from the responses, that the purpose of the test is not well understood, even if its procedure on the GDC can be performed.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Many candidates did not know the correct figures to compare in order to arrive at the decision. Others gave no reason at all.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A hospital collected data from <span class="s1">1000 </span>patients in four hospital wards to review the quality of its healthcare. The data, showing the number of patients who became infected during their stay in hospital, was recorded in the following table.</p>
<p class="p1" style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p class="p1">A \({\chi ^2}\)-test was performed at the <span class="s1">5% </span>significance level.</p>
<p class="p1">The critical value for this test is <span class="s1">7.815</span>.</p>
<p class="p1">The null hypothesis for the test is</p>
<p class="p1">\({{\text{H}}_0}\): Becoming infected during a stay in the hospital is independent of the ward.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the expected frequency of the patients who became infected whilst in <span class="s1">Nightingale ward.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">For this test, write down the \({\chi ^2}\) statistic.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State, giving a reason, whether the null hypothesis should be rejected.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{100}}{{1000}} \times \frac{{330}}{{1000}} \times 1000\) <span class="s1"><strong>OR</strong> \(\frac{{100 \times 330}}{{1000}}\)</span> <span class="Apple-converted-space"> </span><span class="s1"><strong><em>(M1)</em></strong></span></p>
<p class="p2"><span class="s2">\( = 33\) <span class="Apple-converted-space"> </span></span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C2)</em></strong></p>
<p class="p2"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">8.21 (8.21497…) <span class="Apple-converted-space"> </span><span class="s1"><strong><em>(A2) <span class="Apple-converted-space"> </span>(C2)</em></strong></span></p>
<p class="p2"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="s1">\({{\text{H}}_0}\) </span>should be rejected <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft)</strong></p>
<p class="p1"><span class="s1">\(7.815 < 8.21\) </span><strong>OR </strong>(the \(p\)-value) \(0.041771 < 0.05\) <span class="Apple-converted-space"> </span><strong><em>(R1) (C2)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: <span class="Apple-converted-space"> </span></strong>Follow through from part (b). Do not award <strong><em>(A1)(R0)</em></strong>.</p>
<p class="p3">Award <strong><em>(A1)</em>(ft) </strong>for <span class="s2">“\({{\text{H}}_0}\)</span> should be rejected” <strong>OR </strong>“Becoming infected during a stay in hospital is <strong>not </strong>independent of (is dependent on <strong>OR </strong>associated with) the ward”. Accept “Do not accept \({{\text{H}}_0}\)” <strong>OR </strong>“YES”. Do not accept “Becoming infected during a stay in hospital is correlated (related <strong>OR </strong>linked) with the ward.”</p>
<p class="p1">Award <strong><em>(R1) </em></strong>for comparison of their \({\chi ^2}\) statistic value from part (b) with the critical value <strong>OR </strong>a comparison of \(p\)-value with <span class="s2">0.05</span>.</p>
<p class="p2"> </p>
<p class="p1"><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The daily January temperature of Cairns is normally distributed with a mean of 34<span class="s1">°</span>C and a standard deviation of 3.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the probability that the temperature on a randomly chosen day in January is less than 39<span class="s1">°</span>C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the expected number of days in January that the temperature will be more than 39<span class="s1">°</span>C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On a randomly chosen day in January, the probability that the temperature is above \(T\) <span class="s1">°</span>C is 0.7.</p>
<p class="p1">Find the value of \(T\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><strong><em><img src="data:image/png;base64,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" alt> (M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correctly shaded area.</p>
<p class="p2"> </p>
<p class="p1">\(0.952{\text{ }}(95.2\% ,{\text{ }}0.952209 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C2)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(31 \times (1 - 0.952209)\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p3"><span class="s1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for multiplying \(31\) by </span>\(\left( {1 - {\text{ their answer to part (a)}}} \right)\).</p>
<p class="p4"> </p>
<p class="p1">\( = 1.48{\text{ }}(1.48150 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1)</em>(ft) <span class="Apple-converted-space"> </span><em>(C2)</em></strong></p>
<p class="p1"><strong>Note: </strong>Follow through from part (a).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="Apple-converted-space"><img src="data:image/png;base64,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" alt> </span><strong><em>(M1)</em></strong></p>
<p class="p2"> </p>
<p class="p1"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for correctly shaded area.</p>
<p class="p1">\(32.4{\text{ }}(32.4267 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C2)</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Consider the following set of data which is plotted on the scatter diagram below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img 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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the coordinates of the mean point \((\bar x{\text{, }}\bar y)\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of \(r\), the Pearson’s product-moment correlation coefficient for this set of data.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw the regression line for \(y\) on \(x\) on the set of axes above.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><span>\((6{\text{, }}13)\) </span><span> <em><strong>(A1)(A1)</strong></em> <em><strong>(C2)</strong></em></span></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(0.952\) (\(0.95202 \ldots \)) <em><strong>(A2)</strong></em> <em><strong>(C2)</strong></em></span></p>
<p> </p>
<p><span><strong>Note:</strong> Award <em><strong>(A0)</strong></em> for \(0.9\).</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt></span></p>
<p><span><em><strong>(A1)</strong></em> \(y\) intercept at \(y = 1.8\) (<em>accept between 1 and 2</em>)</span><br><span><strong><em>(A1)</em>(ft)</strong> line passes through their mean point <strong><em>(A1)(A1)</em>(ft)</strong> <em><strong>(C2)</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The manager of a travel agency surveyed 1200 travellers. She wanted to find out whether there was a relationship between a traveller’s age and their preferred destination. The travellers were asked to complete the following survey.</p>
<p><img 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" alt></p>
<p>A \(\chi {\,^2}\) test was carried out, at the \(5\% \) significance level, on the data collected.</p>
<p>Write down the null hypothesis.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the number of degrees of freedom.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The critical value of this \(\chi {\,^2}\) test is \(21.026\).</p>
<p>Use this information to write down the values of the \(\chi {\,^2}\) statistic for which the null hypothesis is rejected.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>From the travellers taking part in the survey, 285 were 61 years or older and 420 preferred Tokyo.</p>
<p>Calculate the expected number of travellers who preferred Tokyo and were 61 years or older.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>age and preferred destination are independent <em><strong>(A1) (C1)</strong></em></p>
<p><strong>Note:</strong> Accept there is no association between preferred destination and age. Accept not dependent. Do not accept “not related” or “not correlated” or “influenced”.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\((4 - 1) \times (5 - 1)\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for \(3\) and \(4\) (\(4 - 1\) and \(5 - 1\)) seen.</p>
<p>\( = 12\) <em><strong>(A1) (C2)</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\chi \,_{calc}^2\, > 21.026\,\) <strong>OR</strong> \((21.026,\,\,\infty )\) <strong>OR</strong> \(]21.026\,,\,\,\infty [\) <em><strong>(A1) (C1)</strong></em></p>
<p><strong>Note:</strong> Do not accept \(\chi \,_{calc}^2\, > \chi \,_{crit}^2\) without numerical value.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{285}}{{1200}} \times \frac{{420}}{{1200}} \times 1200\,\,\,\,\,\,\left( {\frac{{285 \times 420}}{{1200}}} \right)\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into correct formula.</p>
<p>\( = 99.8\,\,\,(99.75)\) <em><strong>(A1) (C2)</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Question 10: \(\chi {\,^2}\) test<br>Without doubt, this question was the subject of most comment in the feedback from teachers; opinion was divided between those who wanted the straightforward formulaic approach that can be taught in a recipe-book manner and those who saw the critical thinking nature of the question’s intent; being able to take the data, set up the two-way table and design the test. These are necessary skills for the IA project and they should be transferrable to an examination. That said, the unfamiliar form of the question caught a number of candidates unaware, most noticeably in the statement of the critical region; which is still felt – despite the GDC’s use of the \(p\)-value – to be an important concept that should be introduced to candidates and will continue to be tested. Calculating the degrees of freedom was also subject to many errors.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 10: \({\chi ^2}\) test Without doubt, this question was the subject of most comment in the feedback from teachers; opinion was divided between those who wanted the straightforward formulaic approach that can be taught in a recipe-book manner and those who saw the critical thinking nature of the question’s intent; being able to take the data, set up the two-way table and design the test. These are necessary skills for the IA project and they should be transferrable to an examination. That said, the unfamiliar form of the question caught a number of candidates unaware, most noticeably in the statement of the critical region; which is still felt – despite the GDC’s use of the \(p\)-value – to be an important concept that should be introduced to candidates and will continue to be tested. Calculating the degrees of freedom was also subject to many errors.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 10: \(\chi {\,^2}\) test Without doubt, this question was the subject of most comment in the feedback from teachers; opinion was divided between those who wanted the straightforward formulaic approach that can be taught in a recipe-book manner and those who saw the critical thinking nature of the question’s intent; being able to take the data, set up the two-way table and design the test. These are necessary skills for the IA project and they should be transferrable to an examination. That said, the unfamiliar form of the question caught a number of candidates unaware, most noticeably in the statement of the critical region; which is still felt – despite the GDC’s use of the \(p\)-value – to be an important concept that should be introduced to candidates and will continue to be tested. Calculating the degrees of freedom was also subject to many errors.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Question 10: \({\chi ^2}\) test Without doubt, this question was the subject of most comment in the feedback from teachers; opinion was divided between those who wanted the straightforward formulaic approach that can be taught in a recipe-book manner and those who saw the critical thinking nature of the question’s intent; being able to take the data, set up the two-way table and design the test. These are necessary skills for the IA project and they should be transferrable to an examination. That said, the unfamiliar form of the question caught a number of candidates unaware, most noticeably in the statement of the critical region; which is still felt – despite the GDC’s use of the \(p\)-value – to be an important concept that should be introduced to candidates and will continue to be tested. Calculating the degrees of freedom was also subject to many errors.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>A scientist measures the concentration of dissolved oxygen, in milligrams per litre (<em>y</em>) , in a river. She takes 10 readings at different temperatures, measured in degrees Celsius (<em>x</em>).</p>
<p>The results are shown in the table.</p>
<p><img src="data:image/png;base64,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"></p>
<p>It is believed that the concentration of dissolved oxygen in the river varies linearly with the temperature.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these data, find Pearson’s product-moment correlation coefficient, <em>r.</em></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For these data, find the equation of the regression line <em>y</em> on <em>x</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the equation of the regression line, estimate the concentration of dissolved oxygen in the river when the temperature is 18 °C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>−0.974 (−0.973745…) <em><strong>(A2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for an answer of 0.974 (minus sign omitted). Award <em><strong>(A1)</strong></em> for an answer of −0.973 (incorrect rounding).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>y</em> = −0.365<em>x</em> + 17.9 (<em>y</em> = −0.365032…<em>x + </em>17.9418…)<em> </em> <em><strong>(A1)(A1) (C4)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for −0.365<em>x</em>, <em><strong>(A1)</strong></em> for 17.9. Award at most <em><strong>(A1)(A0)</strong></em> if not an equation or if the values are reversed (eg <em>y</em> = 17.9<em>x</em> −0.365).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>y</em> = −0.365032… × 18 + 17.9418… <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correctly substituting 18 into their part (a)(ii).</p>
<p>= 11.4 (11.3712…) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a)(ii).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A survey was conducted among a random sample of people about their favourite TV show. People were classified by gender and by TV show preference (Sports, Documentary, News and Reality TV).</p>
<p>The results are shown in the contingency table below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Find the expected number of females who prefer documentary shows.</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A \({\chi ^{\,2}}\) test at the \(5\,\% \) significance level is used to determine whether TV show preference is independent of gender.</p>
<p>Write down the \(p\)-value for the test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the conclusion of the test. Give a reason for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{54}}{{180}} \times \frac{{93}}{{180}} \times 180\) <strong>OR</strong> \(\frac{{54 \times 93}}{{180}}\) <em><strong>(M1)</strong></em></p>
<p>\( = 27.9\) <em><strong>(A1) (C2)</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(0.0321\,\,\,(0.032139...)\) <em><strong>(A2) (C2)</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>TV show preference is not independent of gender <strong><em>(A1)</em>(ft)</strong></p>
<p><strong>OR</strong></p>
<p>reject the null hypothesis <strong><em>(A1)</em>(ft)</strong></p>
<p>\(0.0321 < 0.05\) <strong><em>(R1) (C2)</em></strong></p>
<p><strong>Notes:</strong> Accept TV show preference is dependent on gender. Accept “associated”. Do not accept “correlated” or “related” or “linked”.<br>Award <em><strong>(R1)</strong></em> for the comparison, <strong><em>(A1)</em>(ft)</strong> for a consistent conclusion with their answer to part (b). It is possible that <strong>(A0)(R1)</strong> be awarded.<br>Do not award <em><strong>(</strong><strong>A1)(R0)</strong></em>.</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p style="margin-top: 0cm;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">Question 7: \({\chi ^{\,2}}\) test.</span></p>
<p style="margin-top: 0cm; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; widows: 2; -webkit-text-stroke-width: 0px; word-spacing: 0px;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">Candidates used their GDC to find the expected frequency with varying success whereas the \(p\)-value of the \({\chi ^{\,2}}\) test was usually correct; with some losing as many as four marks for giving answers to 1 significant figure with no working. As in the specimen paper the null hypotheses was not stated and so it was necessary to state what was being rejected. Candidates should write an explicit numerical comparison between \(p\) value and significance level to justify whether the null hypothesis is rejected or not. Amongst the candidates that made a comparison often the inequality sign was the wrong direction or the candidate made an inconsistent conclusion. There were many instances of poor mathematical terminology with correlation and independence used interchangeably likewise when candidates compared the significance level with their calculated \({\chi ^{\,2}}\) value.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin-top: 0cm;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">Question 7: \({\chi ^{\,2}}\) test.</span></p>
<p style="margin-top: 0cm; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; widows: 2; -webkit-text-stroke-width: 0px; word-spacing: 0px;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">Candidates used their GDC to find the expected frequency with varying success whereas the \(p\)-value of the \({\chi ^{\,2}}\) test was usually correct; with some losing as many as four marks for giving answers to 1 significant figure with no working. As in the specimen paper the null hypotheses was not stated and so it was necessary to state what was being rejected. Candidates should write an explicit numerical comparison between \(p\) value and significance level to justify whether the null hypothesis is rejected or not. Amongst the candidates that made a comparison often the inequality sign was the wrong direction or the candidate made an inconsistent conclusion. There were many instances of poor mathematical terminology with correlation and independence used interchangeably likewise when candidates compared the significance level with their calculated \({\chi ^{\,2}}\) value.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin-top: 0cm;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">Question 7: \({\chi ^{\,2}}\) test.</span></p>
<p style="margin-top: 0cm; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; widows: 2; -webkit-text-stroke-width: 0px; word-spacing: 0px;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">Candidates used their GDC to find the expected frequency with varying success whereas the \(p\)-value of the \({\chi ^{\,2}}\) test was usually correct; with some losing as many as four marks for giving answers to 1 significant figure with no working. As in the specimen paper the null hypotheses was not stated and so it was necessary to state what was being rejected. Candidates should write an explicit numerical comparison between \(p\) value and significance level to justify whether the null hypothesis is rejected or not. Amongst the candidates that made a comparison often the inequality sign was the wrong direction or the candidate made an inconsistent conclusion. There were many instances of poor mathematical terminology with correlation and independence used interchangeably likewise when candidates compared the significance level with their calculated \({\chi ^{\,2}}\) value.</span></p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Consider the following values of <em>x</em> and <em>y</em> and the scatter diagram which represents the information given in the table.</span></p>
<p><img src="data:image/png;base64,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" alt></p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of</span></p>
<p><span>(i) <em>a</em> ;</span></p>
<p><span>(ii) <em>b</em> .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The mean of the <em>x</em> values is 5 and the mean of the <em>y</em> values is 4. Draw the line of best fit on the scatter diagram above.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your line of best fit to estimate the value of <em>y</em> when </span><span><span><em>x</em> = </span>6.5.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span><em>a</em> = 8, <em>b</em> = 5 <em><strong>(A1)(A1)</strong></em> <em><strong>(C2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A0)(A1)</strong></em><strong>(ft)</strong> if <em>a</em> = 5, <em>b</em> = 8 .</span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span><img 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" alt><span> <em><strong>(A1)(A1)</strong></em> <em><strong>(C2)</strong></em></span></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for straight line passing through (5, 4), <em><strong>(A1)</strong></em> for <em>y</em>-intercept between 6.8</span> <span>and 8, if necessary with the line extended.</span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>3.1 (±0.3) <em><strong>(M1)(A1)</strong></em><strong>(ft)</strong> <em><strong>(C2)</strong></em></span></p>
<p><span><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for an indication of use of <span>their</span> line of best fit (dotted lines or some indication of mark in the correct place on graph). Accept<em> y</em> = 3.1</span><span><span> ±</span> 0.3.</span></p>
<p><span><em><strong>[2 marks]</strong></em></span></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most candidates could find the values of <em>a</em> and <em>b</em>, draw the line of best fit and find an estimate of the value of <em>y</em>. Follow through marks could be awarded in part (c) with an incorrect line of best fit, if dotted lines were shown on their graphs, indicating their method.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most candidates could find the values of <em>a</em> and <em>b</em>, draw the line of best fit and find an estimate of the value of <em>y</em>. Follow through marks could be awarded in part (c) with an incorrect line of best fit, if dotted lines were shown on their graphs, indicating their method.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">Most candidates could find the values of <em>a</em> and <em>b</em>, draw the line of best fit and find an estimate of the value of <em>y</em>. Follow through marks could be awarded in part (c) with an incorrect line of best fit, if dotted lines were shown on their graphs, indicating their method.</span></p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The local park is used for walking dogs. The sizes of the dogs are observed at different times of the day. The table below shows the numbers of dogs present, classified by size, at three different times last Sunday.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img 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" alt width="299" height="112"></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write a suitable null hypothesis for a \(\chi^2\) test on this data.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of \(\chi^2\) for this data.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The number of degrees of freedom is 4. Show how this value is calculated.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The critical value, at the 5% level of significance, is 9.488.</span></p>
<p><span>What conclusion can be drawn from this test? Give a reason for your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span>H<sub>0</sub>: The size of dog is independent of the time of day, (or</span> <span>equivalent) <em><strong>(A1)</strong></em></span></p>
<p><em><span>Award <strong>(A0)</strong> for ‘no correlation’ <strong>(C1)</strong></span></em></p>
<p><em><span><strong>[1 mark]</strong></span></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\(\chi^2 = 4.33\). <em>(accept 4.328)</em> <em><strong>(M1)(A1)</strong></em></span></p>
<p><em><span>Note: GDC use is anticipated but candidates might calculate this by hand. <strong>(M1)</strong> can be awarded for a reasonable attempt to use the formula.</span><span> <strong>(C2)</strong></span></em></p>
<p><em><span><strong>[2 marks]</strong></span></em></p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>\((3–1)(3–1) = 4\) <em><strong>(A1)</strong></em></span></p>
<p><em><span>Award mark for left hand side seen. <strong>(C1)</strong></span></em></p>
<p><em><span><strong>[1 mark]</strong></span></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span>The hypothesis should not be rejected, <em>(allow ‘accept H<sub>0</sub>’)</em></span></p>
<p><strong><span>OR</span></strong></p>
<p><span>The size of dog is independent of the time of day <em><strong>(A1)</strong></em><strong>(ft)</strong></span></p>
<p><span>\(4.33 < 9.488\) <em>or</em> \(0.363 > 0.05\)</span><span> <em><strong>(R1)</strong></em><strong>(ft)</strong></span></p>
<p><span><em>Allow</em> \(\chi_calc^2 < \chi_crit^2\) <em>only if a value for</em> \(\chi_calc^2\) <em>is seen somewhere.</em></span></p>
<p><em><span>Note: Award <strong>(R1)(ft)</strong> for comparing the values and <strong>(A1)(ft)</strong> if the</span> <span>conclusion is valid according to the comparison given.</span> <span>If no reason is given, or if the reason is wrong <strong>both</strong> marks are lost. </span><span>Note that <strong>(A0)(R1)(ft)</strong> can be awarded but <strong>(A1)(R0)</strong> cannot. <strong>(C2)</strong></span></em></p>
<p><em><span><strong>[2 marks]</strong></span></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">a) Most of the students got the null hypothesis right but quite a few used the word <em>correlation</em> instead of <em>independent.</em></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">b) Candidates who used a GDC got it correct, while those who tried valiantly to calculate it by hand generally got an M1 but A0.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">c) Most of the students knew how to calculate the degrees of freedom.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">d) Many students did not have a clear idea which values to compare in order to arrive at a conclusion for the chi-squared test. Many compared the significance level with either the chi-squared value or the critical value. Some did not reject the hypothesis but either gave no reason or the wrong one.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">As mentioned above, quite a number of candidates did not appear to have been taught this part of the course. There were many non-attempts. It was not a difficult question as indicated by the large number of candidates who scored full marks.</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">a) Most of the students got the null hypothesis right but quite a few used the word <em>correlation</em> instead of <em>independent.</em></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">b) Candidates who used a GDC got it correct, while those who tried valiantly to calculate it by hand generally got an M1 but A0.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">c) Most of the students knew how to calculate the degrees of freedom.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">d) Many students did not have a clear idea which values to compare in order to arrive at a conclusion for the chi-squared test. Many compared the significance level with either the chi-squared value or the critical value. Some did not reject the hypothesis but either gave no reason or the wrong one.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">As mentioned above, quite a number of candidates did not appear to have been taught this part of the course. There were many non-attempts. It was not a difficult question as indicated by the large number of candidates who scored full marks.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">a) Most of the students got the null hypothesis right but quite a few used the word <em>correlation</em> instead of <em>independent.</em></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">b) Candidates who used a GDC got it correct, while those who tried valiantly to calculate it by hand generally got an M1 but A0.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">c) Most of the students knew how to calculate the degrees of freedom.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">d) Many students did not have a clear idea which values to compare in order to arrive at a conclusion for the chi-squared test. Many compared the significance level with either the chi-squared value or the critical value. Some did not reject the hypothesis but either gave no reason or the wrong one.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">As mentioned above, quite a number of candidates did not appear to have been taught this part of the course. There were many non-attempts. It was not a difficult question as indicated by the large number of candidates who scored full marks.</span></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: medium; font-family: times new roman,times;">a) Most of the students got the null hypothesis right but quite a few used the word <em>correlation</em> instead of <em>independent.</em></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">b) Candidates who used a GDC got it correct, while those who tried valiantly to calculate it by hand generally got an M1 but A0.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">c) Most of the students knew how to calculate the degrees of freedom.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">d) Many students did not have a clear idea which values to compare in order to arrive at a conclusion for the chi-squared test. Many compared the significance level with either the chi-squared value or the critical value. Some did not reject the hypothesis but either gave no reason or the wrong one.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">As mentioned above, quite a number of candidates did not appear to have been taught this part of the course. There were many non-attempts. It was not a difficult question as indicated by the large number of candidates who scored full marks.</span></p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The lifetime, \(L\) , of light bulbs made by a company follows a normal distribution.<br>\(L\) is measured in hours. The normal distribution curve of \(L\) is shown below.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Write down the mean lifetime of the light bulbs.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The standard deviation of the lifetime of the light bulbs is \(850\) hours.</p>
<p>Find the probability that \(5000 \leqslant L \leqslant 6000\) , for a randomly chosen light bulb.</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The company states that \(90\% \) of the light bulbs have a lifetime of at least \(k\) hours.</p>
<p>Find the value of \(k\) . Give your answer correct to the nearest hundred.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(5800\) <em><strong>(A1) (C1)</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(0.420\,\,\,(0.419703...)\) <em><strong>(A2)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><em><strong><img 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" alt></strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(4710.68...\) <strong><em>(A2)</em>(ft)</strong></p>
<p>\( = 4700\) <strong><em>(A1)</em>(ft) <em>(C3)</em></strong></p>
<p><strong><em><img 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" alt></em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Question 8: Normal distribution<br>Part (a) was correctly answered by the majority.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Part (b) was generally well attempted by those who had studied this part of the course. However, it was clear that many centres simply do not teach this part of the course.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>In part (c), the two common faults were calculation of the bottom “tail” and incorrect rounding.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The weight, \(W\), of bags of rice follows a normal distribution with mean <span class="s1">1000 g </span>and standard deviation <span class="s1">4 g</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the probability that a bag of rice chosen at random weighs between <span class="s1">990 g </span><span class="s2">and </span>1004 g<span class="s2">.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1"><span class="s1">95% </span>of the bags of rice weigh less than \(k\) grams.</p>
<p class="p1">Find the value of \(k\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">For a bag of rice chosen at random, \({\text{P}}(1000 - a < W < 1000 + a) = 0.9\).</p>
<p class="p2">Find the value of \(a\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt> <strong><em>(M1)</em></strong></p>
<p> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for approximate curve with 990 and 1004 in correct place.</p>
<p> </p>
<p>\(0.835\;\;\;(0.835135 \ldots ,{\text{ }}83.5\% )\) <strong><em>(A1) (C2)</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt> <strong><em>(M1)</em></strong> </p>
<p><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for approximate curve with \(k\) placed to the right of the mean.</p>
<p> </p>
<p>\(1010\;\;\;(1006.57 \ldots )\) <strong><em>(A1) (C2)</em></strong></p>
<p><strong>Note: </strong>Award full marks <strong>only </strong>for \(1010\), \(1007\) or an answer with more than \(4\) sf resulting from <strong>correct </strong>rounding of \(1006.57...\).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><img 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" alt> <span class="Apple-converted-space"> </span><span class="s1"><strong><em>(M1)</em></strong></span></p>
<p class="p3"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for some indication of symmetry on diagram.</p>
<p class="p2"> </p>
<p class="p3"><strong>OR</strong></p>
<p class="p3">\({\text{P}}(W < 1000 - a) = 0.05\;\;\;\)<strong>OR</strong>\(\;\;\;{\text{P}}(W > 1000 + a) = 0.05\) <span class="Apple-converted-space"> </span><strong><em>(M1)</em></strong></p>
<p class="p3"><strong>Note: </strong>Award <strong><em>(M1) </em></strong>for probability with single inequality resulting from symmetry of diagram.</p>
<p class="p2"> </p>
<p class="p3">\((a = ){\text{ }}6.58\;\;\;(6.57941 \ldots )\) <span class="Apple-converted-space"> </span><strong><em>(A1) <span class="Apple-converted-space"> </span>(C2)</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>A significant number of candidates did not answer this question. It was very rare that a correct method was shown for any of the parts of this question. Often a normal distribution graph was drawn with indication of the mean and multiples of the standard deviation, with indication of the corresponding probabilities, but not a diagram identifying the area under the curve corresponding to the questions. There were however many correct answers for part (a). For part (b) many answered incorrectly; the most common incorrect answer was 1008, resulting from adding 2 sd to the mean. Very few correct answers were given for part (c).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>A significant number of candidates did not answer this question. It was very rare that a correct method was shown for any of the parts of this question. Often a normal distribution graph was drawn with indication of the mean and multiples of the standard deviation, with indication of the corresponding probabilities, but not a diagram identifying the area under the curve corresponding to the questions. There were however many correct answers for part (a). For part (b) many answered incorrectly; the most common incorrect answer was 1008, resulting from adding 2 sd to the mean. Very few correct answers were given for part (c).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>A significant number of candidates did not answer this question. It was very rare that a correct method was shown for any of the parts of this question. Often a normal distribution graph was drawn with indication of the mean and multiples of the standard deviation, with indication of the corresponding probabilities, but not a diagram identifying the area under the curve corresponding to the questions. There were however many correct answers for part (a). For part (b) many answered incorrectly; the most common incorrect answer was 1008, resulting from adding 2 sd to the mean. Very few correct answers were given for part (c).</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Malthouse school opens at 08:00 every morning.</p>
<p>The daily arrival times of the 500 students at Malthouse school follow a normal distribution. The mean arrival time is 52 minutes after the school opens and the standard deviation is 5 minutes.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a student, chosen at random arrives at least 60 minutes after the school opens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that a student, chosen at random arrives between 45 minutes and 55 minutes after the school opens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A second school, Mulberry Park, also opens at 08:00 every morning. The arrival times of the students at this school follows exactly the same distribution as Malthouse school.</p>
<p>Given that, on one morning, 15 students arrive at least 60 minutes after the school opens, estimate the number of students at Mulberry Park school.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>0.0548 (0.054799…, 5.48%) <strong><em>(A2) (C2)</em></strong></p>
<p><img 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"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>0.645 (0.6449900…, 64.5%) <em><strong>(A2) (C2)</strong></em></p>
<p><img 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hF603DldciE3MTBqGd1y+wvOQEoi/wNwwegt6gPXMJA9A0bqNT9c7ye58GdXEMcmXkooXxLK79Spz0u1D+Fktw8mMNHYJhBXSdFeziC8mqx77IrwsfcAoO6PFyPJmUzQk9MSCmBKSUSxwt3KPrZgOToCZidp6q7XNjGyNogACWAHoG3T0K8rT9hl+VyQt0POSTXEcbbRiMq71Wkb/8MhdlFqh2iDgEdTxrVD4l2YcTwAT0ddezA0zErr8+8qnvuVvXK9RNllai27ZD1OucGAh7Cnr2V8iJvqxnF61ZjWR4QtXAKRtr6UpaEoiuntqMkX1+C118Cnnw8UrPBRWSvbAqQLsJUkoP0pBigaDWmzk3X7EYX4dW/bId5BpLHj8Dc3LMY8cw+mDYtQlyEwVFP6ihOxwpD824UGxZhfaJ2I45TBBcXfJNDPzgRuZIEi6kE29OTEIU8rJm6CK+Xnral7U0YW2B2YK5E1fFLDpf8faLuSnxLOzASj6ctRhRfAL4MK3eUO8S31p3Ct+zKoJG4baB651FndO8VxMM6PAgdYl/GiaOVcnyH6/YT8/HTOGs/9duRMPTMa6LRXewQ0HWRH3DqjpwbUSOQt/VzVFrrUV1+DvGxdyJy7L3KrroLOF5VCXuHV4vDGbNhDApD9MtfgFeLkEl4reRNxEDdyWuLcomnIzaNae96PmdyHWFWBGLG3YIbbIHP4T/7/wkzBmHMwOthX+5chdz33kERhiFxbjRCfzqKMqZE7YJuno7d6FIbKbYs6k0oL2NS90N4/2sB2/kIjBtmWz7OLCvUf5mNlzOYIcwWbU9F3wC2a+IaGKe+ISfncqdcGAYaRb1SHqKspLYHjEq+QaHo38teSpuMTgcNszYfqMJxX7Z/cVcOtyEobDpe/uInbkSFxK5BSfo0NL6T91JOd88Yp3LbLzjWe6YHpe7bg7TAkQkHqk663mRhPYmqAyYPMniI6xRLuLfojrDoV/HFaQbsesS+lo30GF+NY6fEfbugH4jYufeibNlmFLEdudyI6I2FD41wfLmwpapHYMQC5JSnYdTpj7B86niEBQVANz4ZGR53cjW2H2IZl2JNdC/H3WMBQzGbv8DYBHPTX6juuzlsHXVPLdxBbJ4djiD2HAgwYlQqsDArB1sWjnQ0fDzWydMo3VCIgaseR4R6U4w6G9txRxgi7kNiSg5MBX9BVNE72FbsboevMFAmYOX+boh9Yz92pyRigpvF5rYsXB1Yf0J15RnW++IYAiB6VVdBna81TQ69IQIPJqagwJSHJVH7sXbbfqdd1V6F6T0Aww2enqPOkjfmSuMNJrAGG6+MFhVh8+Yih/z1QT34zit8W4yvjqi3z17AmRPyeJTDzivH2OgW0kNelT8oFSW/8LVWbPrQ/q85Vu3jJIrSX0VeTDrKLaq8eL4nUJAErEn5UNkO2hmhY+9FDHuzqfkSuZld+QiQnikOlagylXO3BPGxt/IOz1rxARbMLsakrCpYdqcgMS4OcXG/hvHMd3ykx6H4Dicd0XtAaCN3KJzH6ePMNOuK3iHd7G8c1mp8lc8MXMV46RaC3mwLxLdvYM06NqJ0P35/Tz9YTUewj8nSOwRBTjVF9dB2YVDZRp8Mo2V3A2dP4zi3+no47khjb1+LUuFYexwAAK52yqmD2FwgREDwBuzyGaaOwM3e2EtomDUfgQlQZ+7pmLkteJ67csiqrsLulMcQx/Q+oQ/OcEPWU1xP97yU00lnntJk9wyIST8Ei7qdiWPblviG0vDHfRcjGSJZfU8MGG4UZy5+PcTVhrZWYNuCJciflIVqSy5SEn+LuLgHMcF4TjH2tRGa87wj+twTh3gwNxgn5dHp8Dg8cHuIh0z1CBwchbjEFOxW3tazJh/HsujpWO7S/xnQ+H6IiaHaNSbqhfLr2p2CB9GdbrWWuqcWTFNe0yYsiotwHLFUB3c6Zrt+30NW/0eUnclOAdxcEDMxcOmWBZdLkRYqG/l4dic2LXq4cYYSy91ag8Jlf8Smm2YgNcaAb/O/whFvX7T8KIfeEI2nn50FaHdVqwg1HMaXlyVVwj4c+tylOqbdE1FPLuXbuR2vA/KUFXsKv49lK7fKjhJxCebC9cq28cl4fPwg1eiGOgU9giPvQTx/iG/CS5vlLYPMx8XS8UbodO4cIqrTaMQxf/BelEdXnMj0QGRsDAx5O7GXb1sHZOMoB+nLXkVm+L0YG9oZCL4VsfE1yFydhsyycfJ0nG0KTDusfxl1pxtyiSlYaK1n1QiKu6LapsVC0Dukiz2UGO0R01ddu6OXcKHEHporZiIq2Gob5XNt2IrRK8B5GkdMKdlHfGzTY4YeCOkm4DKDIg2Li8xA1FqU1FnsBjHriM8UIInvZS3HEZNidAvjDtU4YqqXG/wLKVjDjLGo3+OhkT3kctqmANVGlB2B6yPB+hD2HfzBcYSDMwPCw4yOb5euE1KuKoy000dMLycveoipGOPakUfhIyZ2I47fztqHv+SEUm+NKNv3jcanyWmUpt0HHfeP0pBcrnzLeCimtnyinRiUaWyXUZV2WLYfB83q4XfRHtTTheecp1C5Ho2yYS10qpm2Y3XV2d2qm/bnUVaXBXB/MXgEHlrYG5nvvIetH+9BuHaLtfuY/A57E4+bk4B4g7sHh2Dkaz/kqV0UI218Ex2E8j6zobrXQOFb5e1TKN72N6yeOgABttmKXohmblPyZiMswJOfJTZNFua6v+kQgUUVJpRsnwssvxPjkzNQWNHQc8QFIGEshT6H9Y9Nwgj2IqJ6vrmI4XjJX3LwVJUpdRcv3/ZMGwrjw8uSPVGfjsSTy6dI6sD6Pvfh+VfmOY+A6AfjoVVsyg4wb56FoWy4WNcJxui/oAgGRKU+h8cj5Lcn+2jUYkReo3icDo7EoysSYYB9WDTAGKP43pmPR8WDkVu5bOpgvMrTtFpCb4/FmiN5dMUZjB7BI6dgYZRYtyQeMp2wZfN2wDZ/zSp6HxRt3oJy2/SQ6HD2InPjZ8oD6RLMxRuw1I1PDgepg8fiyVfuROaMZGQcZg2DebPdjpXLN6p8WDjEkE/03RDSm1lCQejV3T7Qahv9cVk5he+PCzAdYaNQ2mk7JZ/LR+X1TS7XJDGnn3sBTLZNKeiDQtCbRe3aA927ynStNf9AyjK2lmcYEufH4XbtkDVfH8EspnLkf1UtGzD8oTKZr4FbHHktdAF9Eb06jy1+Qvprs23D3mJq1cGIcoHI6RKvdyPxyRPPYV2xWc6TTavNX4A1YYux6qHB9pE6p8jaC8LI3oqNRTVyWnwtxHN4QpmC1MYQ5/rQWCQvuQ5rlq9HITcMLsFctBWZeSOQuioOg69l7cNfcrJc5ZefSZ/8GUvX7VPqaC0qstdg0WLIeerZi1ADcunFWiKWphXn6s85Gp6igPy3FGuWr0U27+zZ9Fgm5s/IwaRX5iLKYY2IOhJrh9OxYuIePLF0A4o5GxF3I8JSF+EhlfNR85oUrBTegBU9Zk5S1skpD+q8zK0oUowv5rV+3dI/2x2n2rJujKy2yJoDZc0Iv3oB9fXCz1gIbn8gDuEZCzBnbZ8GfPAo3sPHL1X4scRqUbFrF4oRh7mxA6FnswC2dY5MFxcQyF9EG+qHtPHOwcr7oHGadnEY2cufxWLM87FdaHB4Wfe0sVyfu2PrOrRfrrod9ZTXyDnMjEhspiIC4LMYbD2iu3V/9aiuDEfyb930N3oDIh58DCm79+ONWCB37hAwx5rZpUqf1VDB1MYSX7Ok9FXYjz0HbStGG0oFaKocthyYMf8jIpIfwGDnh68SqqEw6pclW8J+PXArmve5dESfKYvxSiJzfqX+E3Psu/F+6ky7QRWVhPSCIuQsss8D60MnYflaEcaAfrDgAoIxJPFFFBWkI4ktLud/wzAzdSeK1scri8jV+TXx2FqBD1K2IcxpQZ8q3cBb8UD8COSJdQYQlUw9iiHewg2ObwfBY/FUTgpG/jMBRr5GJwJPf9oTCdvfV0ZRVPk4HXZEn7hVKNo0DHsmsAXwAQiaW4I75j+JGKew6gtdENKbGaXHUHb0Z+XGZfxwsJgvNHdY8K3cNSQ9jt/yB87POFrGvL4qa5DUybLjE8r6Jqf7bE2SvHDckLQQcxSjGGJkSEyvOSz0/iuen9Lf2RCxdURm1UhBCCIWbkDJRrZQkP0ZZOdqRS8icYhwFncaX36YjTxEIOnZeJsRpS2C63Ol3r09DseTI+Q3w6A/oXzcOpTnLPAxLeaNdj5yNg7HP6P7ymn1fRqf9kvA9qwke5twJYi+Dyas2IiSWeew3NhJftlYfg6zSjZgIWfqTzllAfR9pmBd0TqMO/68Uke7I2pHD8y35cmWYDUklzCqzmB2WDd0m/oeKt0O8ccgKX4ojqwcI9fpCYUI35SFdXEu6oKaUeAwJK7PwtvjvkcyZxOAoD98g3FvO/YrbCo6JvUxTDiyGoPZG37QI9gTnoaidVMUh6k9EfXUq9g48nNE83R06Pv0P9Ev4VVk8Y0p6kynIHV+pO+yqpOwHXdG6KTHsOTSMoQFDMTUbZU2o1IfGo25rC+NUUasbXG0B50xeNY6lMzvgR1RyqYYnaKvnGdsU0CygavSRaB3/ZBTPKvSBzm0i2nY0WsuSrbM87FdaMvCqpUXdc85mosrLtjaRma9HQG14lzdGVzCOZyqUy8ncZEdvyQ/B8DWN7qt6+7isvcK5gj4HygVI6bsperFtSi6J97Di4NILxiDJyQiZfdhFCX0w5GXYtDXo+F0CebSTCRHP4h3IlPxlm2Bt/g6w7fI31GozAiJPLz59UUOJsM/sMNm3LHBgzexsigC8/mGH5afN2HscvFBALjenMScNMufOfPDp6/YhjuxZa7pm+8ohdZFQDgGdbEduLkEFX56DNpt38LNgGc3CP4QS7gosDtW9UeqlIb/CIgt4s1fF/wncwulxLeuRyj+7Vooz/aQDXN/MFnlfNhdmYXrAJVfQGd3By4ic/cK3tRnF24FVL6qwPyGpb7nxi+Ri3ydLnnwf2TzVSe28wtnz6I9iuvst6nPDA9y2HydyfkxNwjv25xZiwIJf2iewoiwslsGJ/cg4jb/ZdznNtq5pbCRfPDD5JA7nbQRAsKXhefK5K/CCOeTdh9b9pSFrxGtHxV7CL8cCYPN5pzQL6lSIn4lIDpobx4wfs24lSemPCSo7vpZT156jG5Srqx/a8DTd5PSp8huCXAjtwFP38yBcMyzqq9wuE3N5Q1hMPlhSs4+LEZHrY+AWHzPt8M3ZrjY6yKxHSHrMWPqHkzKWq9MG6kji6lKdwtS1WEbe3wapWvnYeon45D1dtOnCRorBcUjAr4SsFZkIJat8Vx+EfPfsK/F8zUdCu+KwCkU7waSnxrrxkWDqzi+XuuMwQ8twMSt/w8b+TpTX+NT+MYRYN9JfR1bJy5wWLvomBb7mPT/oTbZ09pIxxjuznTMnGJfZZZn5twFo+tEgAgQASJABIiAJwJsJ/eyWVkIXbdGtabSUwy613gCbFNKGlaW3I0XVkz0wd2D7zkKG4kMJt/ZUQwiQASIABEgAq4J1B9G9qo8hDz9BCa43e3pOipd9ZaAFbWFr+CFY3difvzIZjWWmERkMHmrFwpHBIgAESACRIAItFsCwmCiNUzttgpQwYkAESACRIAIEAFvCZDB5C0pCkcEiAARIAJEgAi0WwJkMLVb1VPBiQARIAJEgAgQAW8JkMHkLSkKRwSIABEgAkSACLRbAmQwtVvVU8GJABEgAkSACBABbwmQweQtKQpHBIgAESACRIAItFsCZDC1W9U3VHDlg4Wx3n6wUqR3EoXJkdCJeMqHL43JhagVQTz+WlFfkYu0pVtQ4dEzuSKfcSkKa60AzycUsRmHbR8y9ZiNx5vOMsiemCORXHjSY8yr5qbPemtkyZ3yqUVF/ktYusmux3bHnqGsr0B+2kpsqhAff21se/RFL5o25UtUr8Iy3zlLYdT54SOo0PQzXuXv50BOddfP6TeUnF/7vIYyA1BbiGSj0bxIkeoAACAASURBVNbHtmy7dO4XvJDY70HIYPI7UkrQgYB+CBJzTTClTPDyswSnUJz+DBaXigeFQ2qqk84YnLgNkmlVMziHc5ZBPzgRuVIJUib0VMlAh00moK0ftSVIT3gBpZYmp9yGE2CfctiIhMVfoV1jaO0a1Nbd1i6vn+Vr0T6xlfQLZDD5uRJRckSACBABIkAEiMDVR4AMJied1qKiMAPJ443cHbpOF4vkjEJU1Iv5IWUoeHwyNqQlwKjTQSemhRzSsg8/bygswqbkWCW9cCSk5arSY5EameexfHmINO0D5ApZdEaMT85EqfkkKvJfRIJRx/M1JqxHsfmSXUKrGaXZabb7Oh4vA4UV3k2ciYSs5lJk2/JmZfsQ+49fFLeVqTIj7FNy2rIyeUW+jO29iF5TCuTNRlgAmwL7URnGj0XyhhcUedn1Y6jIeMiZ/amDyHeQR81a0Z1WX3yoWafI6EqGk3AefmbTdoXIsOlVXQ5WfF/0b8clHylTggnhcp0xJiDtgw28Tto4KsPj45NfQpoSTtxz1AnTv7oOq+XKx4siDxZmUzHMopoLkY7vxyc2njoYE15Evts64mpKR+Snmc7k8kciOX8PMmKV+sGuDYnGGrMZebOHIsBBTxdxfP+HtrLqdK7akRBa9cvq+aZkjGftVOdKfm19VLNi6bhr7z/KU88u+4FLMJdmeuhDZPms5mIX/cJl1BYuw5Do1TDjfcwO66JqO0q5rEeRPTvc+bqocw7cVCygrbM66MYnI6OwAvXqYKjB/k/W2vsGVv/yHcN4rmNCTsc+xpiwFp/sr3HIiZ04ctC2Izm4Y34u+hnnVN30G/KUesN5etEGXU3J1VegMMNe35z4Ku02dkM+ij3WS6cCeXdBU9+d8mepeNX3szqcbW9vrA58sh/HVVI49olKO4ldj8JiVd13qjtecFXlwQ/d9gva+uy67miTa8o5GUwO9GpxOOOPiJqxB71TSmGRJFhMz6H3ngUIu38dSm1GE4Cif2Bvj8WokC7CVDQXI91+M+h9zFmeh6DZ7/MPHFtMa9Hn43mY+3qJ0kk1Ic/uAQDMyFu8AYUDl6CCy7sJo4uTEWkcj5UHR+KFaglSXRlW4HVMWfYRavgD8TRK1z6G+3d0wbzSi1wuyfIvPBuwFdFz0x3L6cBHc1JfjLXTH8bLJx5EUZ0FkrQPzwysxMebD2oCilMr6kvTMXfGPoS9dtgx3/kfoMLaExNSdqIgKQKISUe5RT0FlofMvQYsqbDAYtqKOSOvE4mqfs8hb/FfsSVgDkotrNzv48ETa511p4rhfOhJBhHaivrDmZgXtQB7ej8HE8vLUoqU3nswI2w60kpPi4AAGtK/KqhyaK3ZjgVRi1A27l3USRKkisXokfMS1hSZNYHNKMr8Cj2W7INk+QFFcyIRzHUyFzsEA14nFiEgc46qzrFk3secGW8D8/JgkSyoK58LbJyO6WuLHR6e5s352K/ULclSjbf77ESM2zrSGaFj70WMOQ+5JacUWU+hJDcPZphwoOqksr7MitqSXchEDGIje9nLFDwBKYcLkGQwICb9ECwO060HsfnjSgx8Zp+bdmRPxnbEDIvHYhC5MQDzy89Aks6gcNxBJEQtRXYNe3loQtsT7d2pH7iMmuyFiLh/l60Pker+F2F7FiBqwXal/QHWmmw8FjEFGzEX5azt1L2LcWWLELXgQ9RFrcDhgiUwYBrSy887T2fr++Ge398PZGZjFy+HKLHMGvH3IFLIJ26x3/oSvD43CXvC/leuV6zverYrMqOXYZttrRTrUvLx8f6BeKaCtemLML09EB/HLMTrol57VcfkPiby5VN4sIixt6DimYHY/3E+1LVY5jAbhaIdSYfxWtg+zLDpiMntaz+jLrS23+ihsPecp/dtUJVX/UFkzJuKGXtuRIqJ9asXYUq5EXtmROH+NHW7MiNvThqygh5FDmvfDbYrVR6eDpX6fn+hyN+CutduwZ4ZU7Eg+6jS9rzp+1k/vR7TI9/AiQffV/qgJRi4Px+b1cpzJUveSizP6obZOdUu606juLrsF+BDH+xK0EZekyRJAlgfRH/SmQIpyTBMSsyqkixqHPy6QYpJPyRZpBNSQVKEBMMSqeCMQyh1DEmSLNKZgiWSARFSUsEJ1T0lfky6VM6iNyVPHheSIalAOmPLQZM+v35eKk+fZpeZx9PKJUmW8nQpBtOk9PLzkiQpcYSctvTFgVI+Jw6a/C2HpPQYgyJjQ2mytDXx3XLUlEnkk5glVavV4lBWJW2tzE4ctTIINoKZfN+gzctBdi/1L3Daft2krZVRe87ju9OJmruQS1vPNXEFT4e6JTiIOmIT2n7A4w1S2gprBkz/EdL0mVMkg60uKWVkaWvz4eUSbU1OVq6Xgr3ISl0mcc3x12U8dfr8WMtBtEkhg1IXtHVG6Fp7XZ2+Whx+XZRBU3d5OKEXxvas0neoOWvKW/eFlBql4szScMhDnbl87Ni+ne/b2ry2TA461dQTWzIa+VzKoi4j62MUtrZ6IRJT1Q/R/rUyuY0r0hB5Cebiujd5Kvlr2zcvk6q/dai7gss8Kav6oshM9RxQdKlNg4cUsqr1rUrC3aErvdj6bxFJyKU8r1zqRduu1fxFOqJ+iXYh4gi+Cletnnh+Io6XXFVZ2g4d0mFX3aTVYL2wpejTgbCRaITJZmgqb73moRgz7AY4gAk0IiwcKCs3Obx926L6dBCIvmEDgbJKVNdflt+0mz1PjYDMYjeVIGXkKRRmZyOb/ctIRnTYbORpgro/VUYOwkPRN1BNSymfy4gdYbxtNKLyXkX69s9QmF2kmZp0GcmHi10RPuYWxy9Xc92ZkJn7tZe79LzIrvZr5GaanPOCWrfauS2RbgNh3KXNy2EQibj51SN4wiqYTCsw8vinsl6zP0BG8oMIm/2+Jo62nusR2DcU4Q6jQ5oottMjKK92nMSx3dIPwNiHRyBv6+eoZJsXKz/H1rIYzJr3Xwjndd4K8DIC8bG3erkRwJa684FI0+nOBVTu3Yk8DERY30D7XV73TchNHIx6Nsrl17Yn+hAjhg/o6aIPUeqhtQp7t+4FHNqOojtpGxIHd7bL6+4o8FY8EG/nzKeAbaN2PVzG0huHYWLUXixL/wjFhR/5OP1+Tun/vKljgoOGPZQ6JqTj9aAUhuED0FvdhSjtyJy5CyW1J+URSgdWLAFP/YzIwMWvN3ke+9J1+/bYBkV/OALDDB1VGYsye2gzNi6ewqiSdHmo5G8IxYDeLvIX7dqbvl/0QWFGqFoOwMvf1WXubi/yOMqzU6Trso9uqG/T5OAuLVEv3PYLmnR8PHWopj7GvcqCX8LxqkqH4WJtAc0HqnDc3XNQG9irc3/kaUC4tmI3mDebipgNY1AYol/+AnwCKWQSXit5EzHwstFaT6LqgKnBnBwD6BEYsQA55WkYdfojLJ86HmFBAW7WUTjGbE1n1uNVOOBpaNpciarjqvViLSk8mxZIuA1BYdPx8hc/AdAjJHYNStKnKUZ6QxVYPXXWGMGVabm8ndhbeQ711ZX4Nv4ejIq8Gw+H7+FTdZwfn45z/WBvTK6+x/FH23OXaynWRPdS1izKa6d0AUMxO89TpXGXlrvrnREa+zsklr2K9CK2Loc9MPcgbOEU98sDAkdiUU4R3h71M7KWz0F0WHfN+jZ3eWmuN1jHLjTYl6pTNK+JRndljRlbZ6bTdbEb+JbG9DPq1F0fe8zTdRTPVxvsD5varjxnb7trXo3o7gEOdS/A4UW44b6/wf7NltmVO2hQxmbqg8lgsum8I3oPCIUnO9f5TcgWuZEHVyJPwFrxARbMLsakrCpYdqcgMS4OcXG/hvHMdyjztiT6nhgw3OhtaFU4PQIHRyEuMQW7+fqaEmRNPo5l0dOxvI34ONL3HoDhHiuK9i1PVfxmPbyAim3PY3b+OGRVV2F3ymOIY7qd0Adnyo94mbOL0REvY4pg+tC78HBMDcqrq/hDfBAz6Hl9AQ5UHUPF3p0oc7fORiTS7L/N2fbktUdstYP2n/fuNRoGoO/za/w+HvLoKX/j7oP4B251HBXQJhM4GBPiHkPKbhMkiwklWRNxfFk0opYXeTkC600da5itXSxlvZoLVtxlyLXXN7KfsefgfNRAnnxtqHMsj1ca7A+b3q485i9u8rWfzvVOUlyieNP3N9i/ibyu4G+DMjqNtPlHWDKYbBz1CI68B/GGQ9h38AdH54f1JpSXoREjObbE3RxciTyt/K2/DNopmcuoO+3LDrkeiIyNgcFp6LMe1V4/nAG9IQJxcxIQb/DHG5iYNlDh5rozKtM/jRzGVyXHD4NvRWy8EWX7vtHsKlPK7jR9oE3Aw7lIWzv9y8vR0AiFyF8zLWA9i9MnVTsXefbakUSlXhjYQuwmjvzwh8dFZKanID2zDx4eOwB6sPoyDmWZaVidWeOf6TgPGAFlpEs7YqrsbNLFbsTx2/3d3j2152KkjVccq/Jpy7FOI37yriPZMaB3/pd6YORDv0dY5jZs3fohMsPvxdhQL6bzBDe9ARFxs5AQHwHvR8+9qWOCg5s6JvIXdd2pHZ1Gadp9ivNb//QzIkt4k2eg0r59aoNCzv04qN6NzHYmVleiTDs1bBPIXwce8i99EeO5s1B5xLfBvl8wcln+c40X2GO6DfVtmmxFWk51R9RP7VIRTfxGnpLBpAYXHIlHV4zEJ088h3XFZtloYsPP8xdgTdhirHposOO6BHXcxh63eJ6iM9uLzI2fKQ/8SzAXb8DSJ9Z7nJJ0LKIewVFz8cqkHMyYn4nDfAdhLSqy12I5cwvg8k/Zdj5+KbJtW9NrUbFrF4oRh7mxA9lsvrzGi8e/gPr6yy5TcnfRvCYFK7MPy2vNFN1lTlqKJ6OYw0mxiysHmz74RglzGNkrU7DGob02JEMPjHx0PiZ+8mcsXbdPYciGupMxY01vpK6Kw+BGt6yeiHpyKSZlqsvhSkZXBJROM28rNhbVyPXXakbxuufwRIZ252Ip1ixfq+hB3vU3f0YOJr0yF1Gudli5ys7tNVkObNmMLRCjbcpajqIt2Fw+zr1Rpl4nca4e6o2pbrNzc0MfGovkJddhzfL1KOQPsUswF21FZt4IWUfXNkN7Dx6LJ18Zp+lDDiN7+bNYjHlKH9IZoZMew5KwbVj+QoFcf6w1KNq4FXlRrJ8Zgu5sPRkvlxXn6s85vsDZyqtH4O2TEB/+IebM2Ybwh+9CqId6JxtksUgW7YO7GfgUucVA4txoj3FtWXLDNwaGhuoY53AnMmckI+MwexFjW8C3Y+Xyjao+RqnrmnZUkb0GixZDaUeN6Wfs0jofeZNnY9qgHsEjp2PFxD14YukGxYWLaFcbEZa6CA95szbNWWAvrwhOmvwrtmP5ovUAz7+rMijQUN8vyr8A8zMOeugnvRTNFkyk24i+zalfaM4+2Caw04GH5uUUth1cCMaQxBdR9PY4HE+OQACbTw/6E8rHrUN5zgJEOCxu9heOK5Bn8Fg8lZOCkf9MgDGArRmIwNOf9kTC9veR5GmqSVtkfX/ErcvCpvBCTGBrkXRDMPeLoZifOkUbUjnvjMGz1qFkfg/siGLrJ1je3RG1owfm5zyDKX3YYkXlYXJpGcICBmLqtkofvB13RUzqY5hwZDUGc909gj3haShaNwV9lJquH/xbvJyXCCwLRxALc/9bqJu6CG/GqAvuLIPjyh89AofEY33ROow7/rzCcAj+UD4Gb5dvwaKIEDfl9+6yvs8UrCtaiF47pskyDl6NIxMeQ6qDjK7SYp3mfORsHI5/RveV62/fp/FpvwRsz0rSTDfHICl+KI6sHAOdLgBBEwoRvikL6+L6++GlQBjlgEE19SZP1Rk0i5015dAPxKTkeFxifpi6JWJbZUMe3zXx1af6PpiwYiNKZp3DcmMn6HSdYFx+DrNKNmAh11FztL2O6BO3StOHTMOOXnNRsmWerQ/RGyZixZYtmGVJk+tPwB1YbplhCyMbe2cwO6wbuk19jy+gVxfNdqwfiNi5cTBgrDKSZ7vjdKAfPAMbS+ba6xXTe9QO9Jr/BlZM8Vbv3tYxhcOmYdgzgbX1AATNLcEd859EjEoyua6r25HSH9h0xJbh+drPqDJwcehNno1qg4HDkLg+C2+P+x7JvL4FIOgP32Dc20XIWTTS81SpRk71aKNj36MJqD5VODnkz/W7FVsWKvl72ffL5U9D+J5H5D4oaAG+uCMRqTE+LvpWy8dU2di+zalfuNSsfbBGbNupju2tYw8u2buA7TodEAEi0JoIsKmkSbNRnryjiZ9nYY4kmWPESqwo3+zdjqzWxIFk0RBgo7YzEbXvd/jXhjjbi4EmEJ36g4Df2qA3wrB2+hdMr5qODxOH+OElxps8r1CYFuXauDIKG4lGmBrHj2IRgWYiIHvMNSZsUqY5Zc+8xetWY9ml3+KhkU1cX9RMUlOyV4aA1fwZNmb+goX/M4GMJb+poDW0wVr8Z/9R/ErrnsJvZbwSCbUGrk0rNxlMTeNHsYmAnwn0RNRTb+AV2zSnDrqAGKy3PIgc1ZSOnzOl5NoaAWXxeoAxDZb5q/F4E6eB21rxm1feVtAGaw9gd+0MPMXXXjZvaVsu9VbAtYmFpSm5JgKk6ESACBABIkAEiMDVS4Cm5K5e3VLJiAARIAJEgAgQAT8ToCk5PwOl5IgAESACRIAIEIGrjwAZTFefTqlERIAIEAEiQASIgJ8JkMGkBqospDQmF3r5mQB15LZ4XIuK/JewdNNhN47x2mKZSGYiQASIABEgAv4nQIu+/c+07aRYW4jkITNwYEUhPrnafX20Ha2QpESACBABItCKCNCi71akDBKFCBABIkAEiAARaN0EaEpOrR+HKTnmaXUpjLqHsKGwCJuSY5VPeYQjIS0XFQ4fuboEc2kmkscb5TDGBKTlV8jf4OHps+8oFSLDloYR45MzUGj7nprIKxbJG15AgpF9MiQSyYXfoDA5ErrxydiQlgAj+5SHcSkKa5mzfE2eulgkZxRq5AKs5mLXsvPRpWisMZuRxz5DYUtXDUQcN1b+kyIB5VeU0xumtagozLAzdVM+TQaswCjNTlMYMo5a1rLzNF3sehQWe9KZNn91Oso38RyYibIxvanKzTgbxbWGdKbI5lLfTiWlC0SACBABItCCBMhgahD2+5izPA9Bs9/nn4+xmNaiz8fzMPf1EsUguoSa7IWIiHwbmF+IOsmCusIJKEuYigXZR2FlH508nIl5UQuwp/dzMFkkSJZSpPTegxlh05FWelolQR4y9xqwpMICi2kr5oxkH4wFUPQP7O2xGBXSRZiK5mJk8GU5z/t3oXdKKSySBKnufxG2ZwGiFmxHjfLxIWtNNh6LmIKNmIvyOgukuncxrmyRHCZwAlIOFyDJYEBM+iFYTKswweVHV5sivzuv1A0xZR+y/SOiZuyxlc9ieg699yxA2P3rUOpgrKrw4TRK1z6G+3d0wbzSi1xfkuVfeDZgK6LnpjvGy1uJ5VndMDunGhLj+vZAfByzEK9zfVhRX5qOuTP2Iey1w47pzP8AFVbxEd885JacUgQ4hZLcPJhhwoGqk8qaMCtqS3YhEzGIjQz0Smeu9U3NVK1lOiYCRIAIXBEC7FtyAHsm0J9kOSSlxxgkQ1KBdEaySGcKlkgGREhJBSdUcE5IBUkREmLSpXKLJDnGEcHUYeRjQ2KWVM3C2/7UYRrIy7BEKjijinymQEoyGKSY9EOS6qok8etC3vNSefo0CQ5xRT7TpPTy80p4F+nYZGQHTZHfISEGyzumvBzDpMSsKhfl8yCvQ/nteVvK06UYKGVWyuPIRdKwUNgJHduTsh/xujLIrgN+HiFNnzlFMtjiKexYffJKZ0qdcNCZPUs6IgJEgAgQgZYnIGwkenX12UwNRN+wgUBZJarrrbBWfo6teUB4mFH1NeqemJBSAik3EYPrv0ZupgnhY26BwYG2Yzrei6GMWpiNGK79zlCgEWHhJmTmfo1aaxX2bt2r+TK8HsETVsEkbfP+o6u1/pbfVUnVLC7LozLmoRgz7AbHj07y8gFl5SbVdKcqveAJSDGVIGXkKRRmZyOb/ctIRnTYbOSpgrk8dEi7I4y3jUZU3qtI3/4ZCrOLnKY6oR+AsQ+PQN7Wz/mX5Hk9KIvBrHn/hXClboCzA+JjhwFspKkhnbkUjC4SASJABIhAayDg8AhvDQJdbTJYj1fhgNlDqcyVqDp+yUMAd7dKsSa6l7Kuiq3VYd8cG4rZeZ4yc5eW++vNJ7+7PC/heFUlPJXCfKAKx5VpR8dU2FTebBiDwhD98hfgk50hk/BayZuIwRGUV9c7Bnd7pkdgxALklKdh1OmPsHzqeIQFBfC1ZBmFYm2aMi2XtxN7K8+hvroS38bfg1GRd+Ph8D18qo6z49NxYmqyZXTmtlh0gwgQASJABBpNgAymRqPzLqK+9wAMN3gIawjFgN4dPQRwd2sa0svPy+tr2Bom1T9TygQEu4vm4/Xmk9+dIB3Re0AoPCIbPgC9XdRca8UHWDC7GJOyqmDZnYLEuDjExf0axjPfocxddm6v6xE4OApxiSnYLUmwmEqQNfk4lkVPx3JlUbc+9C48HFOD8uoqlOTuwSA2yqjviQHDgQNVx1CxdyfK4u9BpG1tWMvozG2R6AYRIAJEgAg0moCLx06j02qXEeWHpnaaSNlFpXsIGcdvRmy8EWX7voHZYVSkHtXlRzRTZt4g1CM48h7EGw5h38EfHB1O1hcjbXwoYjMOw8qnjMbapg5FytaKDMTqjHIYcdHTb/CtfpbfU2bsnqfymVBepp3+FOlZ+ShPGbRTeZdRd7pWBGr0r94Qgbg5CYg3qBZ1c+PoIjLTU5Ce2QcPjx0APXogMnYcyjLTsDqzBvGxtyLYY5lUOmu0dBSRCBABIkAEmpsAGUxNJawfiEnJcxG2JgUvFNZwA8Zq/gwbM/cjKnURHhrcByMfnY+Jn/wZS9ftU4wmNnWUjBlreiN1VRwG+6qF4LF48pVx+OSJ57Cu2CwbTfWHkb38WSzGPKx6aDD06IzQSY9hSdg2LH+hQM7XWoOijVuRF7VYDsPX7XSVCZyrh+vNZz38L39DzIMj8eiKkZryHUTG/AVYE6bI7pSGMLT2InPjZwrnSzAXb8DSJ9Z7nOJzSgqKwTt+KbJtrh9qUbFrF4oRh7mxA5W1Vcw4igG2bMYWiJFCPQL7hiK8aAs2l49DbKQyHeeVzpwloStEgAgQASLQOgj4+qhuHVK3Kik6wjBhCbaUzIBl+R0I0OkQYEyDZdYWbFk4EoHQI3BIPNYXrcO448/DGMDWGw3BH8rH4O3yLVgUEdKI0nREn7hVKHp7HI4nR/A8dUHTsKPXXJRsmYeIQFmtesNErNiyBbMsaXK+AXdguWWGPQw39uJxiflh6paIbZUXXMjSHPK7yMbhUjCGJL6oKd+fUD5uHcpzFtjK5xCFnQSPxVM5KRj5zwSFcwSe/rQnEra/jyRPc3xOCXXG4FnrUDK/B3ZEdVfWiXVH1I4emJ/zDKb0EVOowkgDDKqpN3nU0aAZPfROZ06i8AtixFL4c3Idiq4SASJABIhA8xGgT6M0H1tKmQgQASJABIgAEWjjBOjTKG1cgSQ+ESACRIAIEAEi0HIEaEqu5VhTTkSACBABIkAEiEAbJUAGUxtVHIlNBIgAESACRIAItBwBMphajjXlRASIABEgAkSACLRRAmQwtVHFkdhEgAgQASJABIhAyxEgg6nlWFNORIAIEAEiQASIQBslQAZTG1UciU0EiAARIAJEgAi0HAEymFqONeVEBIgAESACRIAItFECHRovt9T4qBSTCBCBVkZA56M81P59BEbBiUArIeBrW28lYrcCMRo5wkSdZSvQHYlABPxIgNq0H2FSUkSgFROgtt5Y5TTSYGpsdhSPCBABIkAEiAARIAJtjwAZTG1PZyQxESACRIAIEAEi0MIEyGBqYeCUHREgAkSACBABItD2CJDB1PZ0RhITASJABIgAESACLUyADKYWBk7ZEQEiQASIABEgAm2PABlMbU9nJDERuMIEaJfNFVYAZU8EiMAVIEAG0xWATlkSASJABIgAESACbYsAGUxtS18kLREgAkSACBABInAFCJDBdAWgU5ZEoPURIO+/rU8nJBERIAKtiUATPo3SmopBshABItA4AmQoNY4bxSICRKC9EaARpvamcSovESACRIAIEAEi4DMBMph8RkYRiAARIAJEgAgQgfZGgAym9qZxKi8RIAJEgAgQASLgMwEymHxGRhGIABEgAkSACBCB9kaADKb2pnEqLxEgAkSACBABIuAzATKYfEZGEYgAESACRIAIEIH2RoAMpvamcSovESACRIAIEAEi4DMBMph8RkYRiAARIAJEgAgQgfZGgBxXtjeNU3nbKQEdJEmC1WqFxWLh/8Qx+1XfO3fuHAIDAxEQEICAAD30+gDo9XrlnF0LgE7HHF7SR3jbaWWiYhOBdkmADKZ2qXYq9NVNQPbezYwg8SdJsqF0+vRp/PTTSZw8eRLs+PTPP6O2rg7nz18AM5RO/PgjCgoK8OCUB9GrZy90D+mOkJAQdO8egh49rsV11/VEr1690LFjR25EifRlA0qc2fMVV+iXCBABItDWCZDB1NY1SPK3cwKuP21y9GgVDh8+zP9VVn6Lmpoa/PTTT3yE6dKFC+jStSu6d++Ozl26oENAADeAOnXqhEuXLvHRp/LyCnx/9HtYrBZcuHAR9XV1qKur4yNLAR06IDgoCH369EFoaCiGDB2KIUOG4MYb+6FLl64A1DKR8dTOKygVnwhcNQR0kiRJ7O1Q/TbacOmoE2yYEYUgAs1FQG2QAPX19WAG0ldffY2DZWU4cuQIHzXq3KkTevToAYPRyI0bNjJ0zTXXAJIEnZ5NtemVqTXwX9EPXLx4kYcTo0Ziuk7dR7BRKmaEVVfX4OSJEzh//jw6de6M+1GsbwAAIABJREFUvn37YtSoUYiIiED//v3RpUsXDQTqOzRA6JQIXAECjn3IFRCgTWUp+kYymNqU2kjY9k3A3smdOPEjDhz4CmVlZaiqqkLtmTPocM01fLpsQP/+6NuvH2pra7khxIyWrl27go0gMSPJH3/MqGJGEpvGu3DhAiyXL/PRq++//x7Hqqtx+fJlPoV38803Y/jw23HL0KG4tkcPVdZkOKlg0CERaGEC9r6khTNuk9mRwdQm1UZCtz8CcsfGFmYzA+jwoUM4cOAAvquqwtmz9ejcuQt69ezJF2lDp8N1112H3r1749prr+XGDFvg3RJ/TEom44kTJ2Aym3H27Fmef11dLTeeQrqH4KaBAzFixAgMGzaMLyaXp+7IcGoJ/VAeRMCRABlMjjw8n5HB5JkP3SUCrYCAjo/iHDt2DJWVlXyq7ejRozhbX49re1yLTh07oV+/ftwQCQoK4mFbgdA2EdiaJyZvdXU1HwG7bLEgODgYt9xyC9jIE/vHDDu2E4/+iAARaEkCZDD5QpsMJl9oUVgi0KIEdHyB9bHvv8eR777DN998g+++O8JHbbp1C+SjNHfeOYqfX77cMiNITS0+W2dVXl6OL7/8ki8sNxqNuDU8nC8YZ2udevXq6bfpwqbKSvGJwNVPgAwmX3RMBpMvtCgsEWgBAmxKi60N+umnUzh48CB25efjP5WV6Ny5M26//XaMHDmS72ZrAVGaNYsff/wRuTt3go2csZ12d999N0bdeSduuOEG7sKA/Ds1K35KnAhodrISkIYIkMHUECG6TwRakIDFYuWjSgcPlmHDhg0oLS3lO83i4uJgNPbhhlQLitMiWbFRpz179mDfvn3o1q0bHn7oITwyfTo6dOjAnWOS4dQiaqBM2iUBGmHyRe1kMPlCi8ISgWYhIHdabDH33r178c477/AF3WPHjsUf//gUTp8+wxdMN0vWrShRttuOTTuy8jO3B0uXLuWjTmy9ExlNrUhRJMpVRIAMJl+USQaTL7QoLBHwOwEd31WWl5eHrA8+wPfHjmH48NswefJk7iiSfZqETdG1hz/m34m5IWCG46FvvsGOD3dg2LBwzJjxe9xxxx3o2rWbgoF21LWH+kBlbAkCZDD5QpkMJl9oUVgi4DcCckfF1ihteecdfPvttxgwYABf/MxcAlx//fXtYlTJFU5mOLEdgObjZvzrXyXcM/nttw/H5Mn3ITw8XIlCRpMrdnSNCPhGgAwmX3iRweQLLQpLBPxAgBkEtbV1yM3NxT8+/piv22G7xQaHhfEFz/5yKukHUa94EswZJ3NJwBxhMo/l48aNQ+y993JmsnBkOF1xJZEAbZgAGUy+KI8MJl9oUVgi0EQCzJHjf/5TiU/3fIrS0hIwQyksLAx9+vZ18fmQJmZ2lURnHsTZ9/D+/e9/8+/bMTcE906ahJtuuokWhV8lOqZiXCkCZDD5Qp4MJl9oUVgi0GgCOrBt9Mz/0N7PPuMGAPtsyaOzZqH+7Nl2s06p0fgAmM1mlJSU4LjZzD/2OzEmBr/61a8QGNjN9i28pqRPcYlA+yNABpMvOieDyRdaFJYINIIAm4L74YcfUVBQgPz8PJw/d55PKw0ePLgRqVEUtptu1cqVGD16NCZOnIiht9zCPy7cseM1BIcIEAGfCJDB5AsuMph8oUVhiYCPBJhfJbbra/36V1BUVIThtw3HtGnT8Mvlyz6mRMFdEXh1/Xq+g+6+++/ni+aZOwJyQeCKFF0jAq4IkMHkioq7a2QwuSND14lAkwjIHdFXX3+FpUuW4JdLv3BXARGRkU1KlSI7E3j11Vf5B35nJSRgym9+owSgxeDOpOgKEdASIINJS8TTORlMnujQPSLQKAI6/Pzzz9i0aRP+9re/YcmSJejVqxf/nAnzXk1//iVgsViwe3chd/rJ1jT96U9/wo039lcyIcPJv7QptauLABlMvuiTDCZfaFFYIuCRgI5Pv7GFye++uwXHjlVj5syZfCccGUoewTXpJuvEzpw5g4qKCnz91Vc4ceIE5sydi5iYGHTq1Imm6JpElyJf3QTIYPJFv2Qw+UKLwhIBlwTkTufQoUPYtSsf+/d/ia5duyBscBjuGDmSb4V3GY0u+pXAuXPnYKqpAfPd9HVZGdinZR588AE+2kRrm/yKmhK7agiQweSLKslg8oUWhSUCDgTkzqa+vg6ff/5PfPbZZzjx44/cSzdzQsk8d9NfyxJgOxKZ36b8/HzuhmDgTTfh7l/fjdtvvx3XXdeTRptaVh2UW6snQAaTLyoig8kXWhSWCKgISBK4B+p9+/bis8/24tzZs7ht+HC+a4s1LPq7sgTYh4yZl/Bu3bry3Yl3jh6NgQMHQq8n3VxZzVDurYcAtQVfdEEGky+0KCwRYGMUEnDx4kUc+/577PjwQxQWFmDgwEEYM2YM+vXrR4xaGYEPd+zAd999h8jISDD3AzcNGICu3bq2MilJHCJwJQiQweQLdTKYfKFFYds5AR33yM0+b1JeXo71r7yCg//+N5544gnceOONkNfJtHNErbT4X3zxBXbl56Nrt25Y8OSTiLzjDv4pGhoIbKUKI7FaiAAZTL6AFgaT3pdIFJYItD8CcsdiMpmwceNbmDPnMdTW1SHnww/5t+DIWGrdNWLUqFF851z/G29EfHw83nzzTdTX1wOgB0br1hxJRwRaHwGdJEmSsJ68F498nHjPikK2XQLyQ/UfH3+Mt99+Gz+d+glTpkxBWNgQdO7cmb4D10YUyxaEM59N7NMqzy5bhv4D+mPBgqf4VF3XrmKKjvq0NqJOEtMvBOiFwReMwkYig8kXahS2nRCwjyq99VYGdxcw+Oab+Vqlzl26cGOpnYC4qorJDKfq6mp8+umnqKmuxrioKDzwwAO4+eablXKS0XRVKZwK44EAGUwe4DjdIoPJCQldIAKMgI6PRrCH6rvvvovLl3/BgAE3YdiwYTAaDLhssRCmNk6AGU1VVd/hPxX/Qffu3RETG4vo6GhlLRoZTW1cvSS+VwTIYPIKkxKIDCZfaFHYdkGAfTCXeYsuLCxEXl4uugd3R+jNN/Mt6ezBSn9XD4ELF87jm28O4fDhQ3z3Y0TECNx77yT07dtXKSQZTlePtqkkzgTIYHJm4v4KGUzu2dCddkigvv4sKisrsW/vXnz++efo0rUrfvOb3yAoKAh6Pe2NuFqrBHM78PXXX+PSpYu4oXdv3Df5PgwZMoR//w8go+lq1TuViwwmX+oAGUy+0KKwVzEBHU6ePImvvjqA3bt3o+zrMoQNGcLXtlzFhaaiaQiwOvDqq+tx6623cUN56JAh6B7SHQEBAZqQdEoErgYCZDD5okUymHyhRWGvSgKXL1tQp7gIyPkoB6xRPPjAg+hPnza5KvXdUKHYovA///nP6NKlM+JnxGPs3Xfzz9107NiRPq3SEDy638YIkMHki8LIYPKFFoW9ygjInQX7fMbKFSvwzTff4N5J92Ly5PvAnFPSX/sm8PHHH6GwoBDskyqzZs3i36OTidAUXfuuGVdT6clg8kWbZDD5QovCXkUEdLh06RK2b9+OFcuX4/YRI3BPdDQfVaK1SleRmptQFKvVip9//hl/27ABNaYaJCYm4rH/fgydOnemkaYmcKWorYkAGUy+aEMYTB18iURhiUBbJsB2wbFRpYz0dBQUFGD2f/83/7RJSEgILexuy4r1s+zMcGZ1omOnTjhz5gyvKwe+PICnnnoKvxo2jE/d0oJwP0On5IhAGyBAjivbgJJIxKYQkN+kTp36CZ9//k989NFHOHP6NO666y4MGTqUO6Fkbw/0RwS0BNatW8eNo+nTH8Gu/F1gn8eZER+PiRMn8t2TZDRpidF52yFAfZ4vuqIRJl9oUdg2TeDw4cMoLCjAV19/jWs6dMDou+7iU3FtulAkfIsQuOGGGzB+/ARce20P7NqVjw8++ADHjh1DTEwM98/VqVMnmqZrEU1QJkTgyhOgKbkrrwOSoJkIXLhwEaUlJdxdwNHvj6Jnz14YPnw4+vTp00w5UrJXIwHmtHTMmLswYEB/vP32OygtLcHp0z9j7NixuO224ejZsycZTVej4qlMREBDgAwmDRA6bfsErFaJL9ot+de/sH3Hdpz66RTf8TRy5EiwreP0RwR8IyChQ4cO6N9/ABYtWoStW7diV34+fvzxR5w4cRKjR4/GjTf2U9Y2+ZYyhSYCRKDtECAXxm1HVySpFwSYb6UffvgBO3fuxMqVK3Hx4kU8OOVB3HHHHWQsecGPgngiIIFNwc2cORNPLliAzp06Y8s77/B/x45V49KlXzxFpntEgAi0cQI0wtTGFUjiCwLyIsaamhq8/NJLfBRgyTNLMfjmwXxhtwhFv0SgaQTYCKUOkZGRGDRoEN9E8NZbb/Fp39S0NISHhys7Lmkks2mcKTYRaH0EaISp9emEJPKJADOUdHwKLjMzE7MSEnDw4EG8+957uDX8VjKWfGJJgb0jwIwhCddeG4L4+HhkZGRwA2ryf/0X2M66n376iddJ79KiUESACLQVAjTC1FY0RXK6ICCPKh348ku8s2ULDh06hLvGjMGoUaNchKVLRKA5CEjo26cP5j/5JEZERHCDiRnsiYmPIiIiUmWw04hTc9CnNIlASxIgg6klaVNefiSgw+XLl5GVlcXXK3Xu1AmTJk1Cv3790KNHDz/mQ0kRAc8EOlzTATfccD2io6PBdtTt2L4dr7/2Gv8W3b33TkL//v2VEScymjyTpLtEoHUTIIOpdeuHpHMioIPFYuE7lFavXo0hQ4aAfVm+V69eGDBgAK7hH0p1ikQXiECzEmDewdkU3bhx4xAYGIjduwtRUlICk8nMfTaNuesugDtIJaOpWRVBiROBZiRABlMzwqWk/U1Axz+Oy6bedn6yE6+99hr+9re/4dZbb/V3RpQeEWgUgY4dr+FuBphvpt27d+PLL7/EBx+8j5MnTiBq/HgEBwfLdlOjUqdIRIAIXEkCZDBdSfqUt9cEmG+ln346iS+/3I/8/HwcOnQY7COp9EcEWiOBm2++Gddffz0f9czJ+RBbtmxBbV0d7r77bhiNRjDDiv6IABFoWwTIYGpb+mqX0jL/NidOnEBRURFyPvwQly0WPPPMM9xwapdAqNCtnIA87da9ezD/7hybNt68eTNeefkVmE0mTL7vPtx0003o0qULjTa1ck2SeERATYAMJjUNOm5lBHR8FOm7777jU2/FxcUYO3YM97bMvu3F1o3QHxFozQTYsqUbb7wRixcv5s5Tk5OSULq/FH/4wx9w552juSNM+vZza9YgyUYE7AToiWNnQUetioDsMoBNZcydOxfHqo/xUaWVK1fxD6HSl+JblbJIGI8EZA/hsbGxyMvPB/ug7zNLn8GqVavAXgaYHzH5n8dE6CYRIAJXmACNMF1hBVD2zgTYeqWzZ+vw9NNLuBPKBx54AJPuvRcDBw1SAtNOI2dqdKV1E5Dr7HXXXYe//vV5fPLJJ/hwxw48nZyM6b//PaZMmUKuB1q3Akk6IgAymKgStCICOtTX1eHAgQN47fXXYLFYseDJJ7kX5Rt690anTh3pq/CtSFskiu8EAgKY+4FrwUab2OLvwsJCvr6JObt84oknwNY96XRs4J9eCnynSzGIQPMSIIOpeflS6l4T0OH777/nD5DdhYUIDgrGb6dNQ0REBN+KrdfLU3ReJ0cBiUCrJSDhuut68DVNzMlq79434PPP/4nlzy/H72f8HkOHDkGXLl3JaGq1+iPB2isBMpjaq+ZbUbkvXbqEsrKDfBcc87HE3rzvf+B+jB59F3Tk7K8VaYpE8SeBbt26YtiwX/E1TSEh1yJ3Zy42bdqI8ePH87rPvIfTHxEgAq2HABlMrUcX7VASHU6dOsWn4AoKdqGmxsSdUP526lTcyD8nwZDQ1EQ7rBjtpshspydbBD5t2jT+osAMppycj/Dzz6cxZswYvsOuc+dO7YYHFZQItGYCZDC1Zu1c1bLp8MMPP2DPnj34+9+zuU+a3/zmN7j33nv5VmsylK5q5VPhHAhIuOaaaxAVFYVBgwbijTfeRE5ODo4ePYrJkycjLCyMT0tTm3CARidEoMUJkMHU4sgpQ7YL7sKF8/wDpdt37OAPhenTp+OWW25R4NCoEtWS9kZArvP9+t2I559/HllZH+DdLe/iy/378WhiIv+wdKdObKSJ2kZ7qxlU3tZDgAym1qOLdiHJxYuXwNYpPbtsGWpqapCamopRo0YhKChIKT89ENpFRaBCuiEgcYes06Y9hOHDb8d7776Lv/7lL2AbIVJS16BTx07kHdwNObpMBJqbADmubG7ClL7NMV91dTUyMtIx/4kn0Ov66/HRRx/xb2sFBnZT3pzJWKLqQgTEKNLAgQPxh//5H6SsWYMj332H+++7D//3f/+Hs2fPkaNLqiZE4AoQoBGmKwC9fWUpuwP4/PPPkZ2djaqqKu4ugK3N6G0wgNwFtK/aQKX1loAE5rOpR49rMXr0aL4wPHPzZvz1r3/Ffffdx/8NGDCApui8xUnhiIAfCJDB5AeIlIQrArKhVFdXh48+ysGePZ/img4d8NvfTsVdd8m7f8SbtKvYdI0IEAHw6bmgoECEh4cjYdYs5ObuRPEXX8BsNvMNEqNGjUTHjsyhK/0RASLQ3ATIYGpuwu0yfR0kScJ3R47go48/wldffYXeN/Tmu4BGjhqF7t2705txu6wXVOjGEmDuB5jRdO21Ieh5XU+UlJTg79nZ3HD69a9/zZ1fNjZtikcEiIB3BMhg8o4ThfKagA4XLlzA4cOH+beyDv7737j99ttx//33YejQW/g0A40seQ2TAhIBhYC8vq9v33743SO/g8FoRH5eHnbu3ImTJ09yZ5dDhw6lFxGqL0SgGQmQwdSMcNtb0larFbW1dfjmm2/w3nvv4Zt//xuPzZmDe+65B+yjo2QotbcaQeX1PwEJnTt34d+iY2uYtm/fzjdPsM8KJT76KPrdeCOYo0vZQ77/c6cUiUB7JkAGU3vWvt/KroPFYuFeu4uKipCRns477PWvvgq204c55SNjyW+wKaF2T0AebWIOLR9//HEMHz4cL6xezV9Qlj37LIYMGYLAwEC+/onaXbuvLATAjwTIrYAfYbbPpOTF3WwKjnXa/5uWhjtHj8bft2/nHoqvuYbZ5OQuoH3WDSp18xKQ0L17MCZOnIgPc3Jw/fXX49FZs/DWW29xH2dy3vTR6ubVAaXengjQCFN70rbfyyp3xu+88zbeffddhISE4M9/+QtfT9GpE9u5Q4aS35FTgkRAQ4C55mAjSi+9/DKys7OwefNmlJaWIj4+nhtTAGun1BY12OiUCPhMgAwmn5FRBEZAkoCffjqJtWvX4t8HD3JXATExMXxUqXPnztRBUzUhAi1IQKcDunbtismT7wP7vMqHO3Zgw5tv4mBZGWbMmMEdxcrikOHUgmqhrK4yAmQwXWUKbf7i6HD+/Hm+sPuNN97AhfPnERcXh9F33aX6sjp1ys2vB8qBCGgJSNztwB133MFHe/fsKcKX+7/E6tWr8cj0R3DHHSMVD+HUPrXk6JwIeEOADCZvKFEYhYAOP/74I/bu3Yvc3FxYLRZM+c1vwPzAsF1w7C2X/ogAEbiyBLp27YJbb72V+ztj0+TMy/6bb7yJEydOYNy4cejWjX2KiP6IABHwlQAZTL4Sa6fhf/nlF/5Zk88+24t9+/bxHTizHn0UI0cKT8P01tpOqwYVuxUSYC8vzO3AtSEh6NOnL7Zt24at723lbj/uvPNOGI0G8hDeCvVGIrVuAmQwtW79tALpdKivr0dFRQXycnPx5YEDGDRoEObMmcM7ZFlAMpZagaJIBCKgISChe0gIH1ViTi1TXngB7767BT/88AO/FhoayheL04JwDTY6JQJuCJDB5AYMXWYEdDh79iz/QvrmTZvAvgs3ZcoU/G76I+jUsRMt7KZKQgRaPQEJHToEwGg0Yt1LL+G1117F3//+d1SUl2Pqb3+LUaNG8cXiNJ3e6hVJArYCAuSHqRUooXWKIC9IeuP115G0eDFfRPrsc8/xD4CSsdQ6NUZSEQH3BORR4D/84X+wYsVKnDt/Hv+/vfOAjuq89v1/1IXQqHckqhBXFlWiCjABTDWYahs/uDExziOJr+PY4SV+L7nX13m2Yyc3663YznVswCGmuVBMMZgiOjaIJgQGiQ6SEKAGAhVU5q39jQYNkgDNaPr8z1qzZubMOV/57W/O2Wd/+9v7zTffxMKFCyHT7frQAw8+m7+QAAkAtDBxFDQjUFtbh6tXC/Daa7/GpUuX8Jvf/lbFVgoPD284llNwzaBxBwk4PAH532qQlpaGP//pz1i3bh1WrFiGPbt3480//AHJyZKLjjGbHF6MbKDdCNDCZDf0jlaxXCg1Kr3Jxo0b8bOf/Qw+Pt54//33Vd6qsLBQSIA8+js4mtzYHhIwhYBO/Y9DQoIxZeoU/O//8ztERUfjpy++iNWr16hpd1qbTOHJY92JAC1M7iTtB/ZVP/126tQpfLNxIw5mZqJXr96YPn06UlJS1Goa+jg8EB5/IAGnI+Dh6YGQkBBlbZIo4Rnbt2PRokU4cyYX06ZNVzkgPT35PO10gmWDrUqACpNV8TpH4dXVVSpWy/btGbhWWIiBAwZizNgnkJLSkxYl5xAhW0kCZhDQqVVykrw3IiICPr4+OHb0GJbc+gdGjhqJ1NQ0FcuJVmUz0PIUlyRAhcklxdr6Tt24UYQ9e3Zj165dyvlz2PDhGDtmjDLTt74UHkkCJOCcBGQVnRc6duyIF37yAr5etw579+5R/k0SpHbIkHQVwZ9Kk3NKl622LAEqTJbl6TSl1dXVo6CgANu2bcPmTZsQExuDp59+GulD0uHtw8S5TiNINpQE2kxAv4gjUKtVeecSEuJV6IENGzZAHqjGjR2Lrt26NfgwtrkyFkACTkuACpPTis68hkvSXFlGXFhYiM8++0xdGGfOnImnZ85E5y5dGgrlKjjz6PIsEnBmAvpVdMOHP46EhI73lKYzubl45Ve/QlxcnFoIoqFDozMLmW1vAwEqTG2A53ynalBbW6MS577z9tvIzs7GBx9+qILX6fNLUVFyPpmyxSRgSQL6a4CkVZk/fz769euH9959FzOmT8eixYshEcP9/Pzo22hJ5CzLaQhwGYTTiKotDdWHDMjPz8ff/vY3FTLAv1077Nq9GyNGjEBAQDteANuCl+eSgMsR0MHf308l1l62bBmmTp2CaVOn4pNPPoZcRxh6wOUEzg61ggAtTK2A5NyH6EMG7Nu3FytWrEB+fgHmzJmNqVOnITTUEFvJuXvI1pMACViHgMy+aYOC8PNfvKSS+K5YuRJnz57Dc889pyzT+lppmbYOfZbqaASoMDmaRCzaHg2qqqqwcuVK7MjIQHBIMObMmQPJVh4TE0OrkkVZszAScE0CErA2LCwMT06ahLDwMGzatBmffPIJzp87hwkTJzaEHpC+U3FyzRHAXhkIUGEykHCpdw3q6mqRl5ePFcuXQwJSyiqXxx9/HL169YJE+eXFzaUEzs6QgJUJ6BAZGYFRo0ZBqw3Czh07kLEjA/kF+ZgwYSKSk5OZVsXKEmDx9idAhcn+MrBwCzQqvYE4dH+7eTNyc3OV6Xzc+PHo2rUrvL0pcgsDZ3Ek4DYEJCq4PHiJxWnr1i04ceIEiotLMH78eAweNAje3t50b3Kb0eB+HeXd04VkXldXp+KmHDlyBJs3b8LFCxcxe84clQsuKCiIViUXkjW7QgL2IiBTdGKpjoyMVAFv165dgyVLluBudTUeS0lBeHiYXnGyVwNZLwlYiQBXyVkJrG2LFV+laly+fAUSbE78C4puFOH/vvUWZsyYwfQGthUGayMBNyCgQ3R0NKZMmYI33ngDuvp6vPXWW9iwfj3On7+AysoqrqRzg1Hgbl2khcnpJa6BTqdTMZVEUTp9+jQmjB+Pf3v5ZTTGVqIzptOLmR0gAYcjoIOvrw+Sknpg8aef4i9/+Qs++ugjfP/995g7dy6GpKczOrjDyYwNagsBWpjaQs+u5+pjK1VXV+Ptt9/CS7/4BTygwZ/eew+/ff11I2XJro1k5SRAAi5PQP9A9uqrr2LpsqXw8/fD66+/rl5ibdI7NenDm7g8CnbQpQnQwuSU4tXg7t27avXbv//+96itrcXPf/5z5YwZExvb0CNalZxStGw0CTglAf31plu3bnjjjf/Ezp071fTcyy+/DEm99OMf/5ir6JxSrmy0MQEqTMY0nOSzJM1dt26d8ldK6t4dkyZNUs6WISEh8PLypHO3k8iRzSQBVyMgq+TCw8NV+IHY2Fjs37cPa9euRVZWFuY+/zwSuyfCz8+f1yhXE7yb9IcKk9MIWoObN8tw9OgxFYTy/IULGJqejrHjxjG/k9PIkA0lAdcnINHBQ0NDkJraD1FRUYhPSMCOHTvwwQcfYPDgwRjxoxFISEiAhwcf7lx/NLhWD6kwOYU8NcjJycF3332H41lZajpOcsCNHzcOsXEyBSf+AZyCcwpRspEk4CYEJElvt25dER8fr6xOW7duxf79+1F4rRD90/ojpWdPpVDx2uUmA8IFukmFycGFePPmLeScPo2MjAylNEVFR2HyU5MxfPjj8PAQn31RlKgsObgY2TwScFsCvr6+GD16NJKSkrB+/XocOXIY+Xn5uHz5MvoP6K8C6vr7yzQdNxJwbAJUmBxUPrW1dSguLlZLdFeuWAEJSjlhwgSMGTsW4hug36goOaj42CwSIIF7BPTXKbE0yeKUw4cOYe3XX+Prr7/GsaxjmDZtunIrkOjhnp5cuH0PGz84HAEqTA4lEn1MJVn1VlhYqAJQLl+2DNOmTcO8F+chMTERGo3hgkJlyaFEx8aQAAk8goBcszRITUvDvyQn42DmQfzj03+okChPP/MM/udPf4qQ0FB4eXlBI45QtJw/gid/tjUBKky2Jv7A+vSpxXAcAAAZs0lEQVRxSmQF3MaNG7F48WL4+vjg8y++QEpKCsSszem3B8LjDyRAAk5BQP+g166dP0Y8PgJpqWnKN/PN/3wT69etw/PPP49Jkycrv6fGpHR8OHQK0bpBI6kw2V3IekWpoqICmzdtwqpVq1BSUoL/8dxzmPXccyqtCUMF2F1IbAAJkIDFCehUgN3hw4djzdo1+OqrL7Fx4zfYnpGBMWPGKBcEmcbjohaLg2eBZhKgwmQmOMucpleW9u3bh9WrVyMvLw/du3fHC/PmITk5Wa0soVnaMqRZCgmQgOMRkJk3Sa/i6xuuXA/69u2HvXv3Qq6JBw58rxa3TJ48GaGhoQ2Np7XJ8aToPi2iwmQXWWtQW1uDwsJrSlE6cvgwgoKDMX78eKSlpaFLly4QkzWVJbsIh5WSAAnYnIAOkZGRCAkJVQ+KEjE869gx7N69WwW9HDVqJIYNG4bAQK3R6mCbN5IVujkBKkw2HgB1dfW4ceMGDh8+jIMHD+LSpUvolpiI9PR09OrVC7JShIqSjYXC6kiABByCgLe3lwozEBMTA1GaDh44gOPZ2Vi3bj3OnDmDPn36Kp9OiSau/MIdotVshLsQoMJkM0lrVJiAc+fO4dixYzhy5AgqKyrwxJgxGDduHCStiacnI9/aTBysiARIwEEJ6JSF/bHHHlNK04CzZ1V6laNHjuLSpcu4ePGCUpoSEjoiKirSQfvAZrkiASpMVpeqBuLQLValgwcPYNeuXbh6tVBZk2bNmqV8lvRNkLl5zs9bXRysgARIwEkI6NTqYFGc5PXd/v1Yv2EDvvlmk7LODx48BIMGDUJERIR64OT100nE6sTNpMJkReHV1+tQVVWprElLlixBbm4O+vTpgwULfo1BgwYb1UxFyQgGP5IACZBAAwHDtVGDwUOGqNehQ4ewevUqLF68CF999RWenjkTU6ZOhY+Pj4rh5OGhX0xDhCRgaQJUmCxNVJWnUfnexD/pnXfeUfmTfjRiBN7947vol5qq/tj6ag0XA6s0goWSAAmQgIsQMFwrNWphTL9+/VRqlTVr1uCvf/0rPv7kE8yZMwdPPjkR4v/EGE4uInYH6wYVJosJRP9UU11djRMnTuDzlZ9j584daq590aJF6NGjB2MqWYw1CyIBEnBPAnrFSaxICQkJmD9/PmbPno0vv/gCq1Z9hc8//1ytpps8eRJ69erd4BcqpAwKl3tSY68tQ4AKU5s56hUlSWdy+PAhfPvtFpw4kQ2tNgivvvYqBgwYiOjoaEjmbpqK2wybBZAACZCAIiDXU39/P3VtnTlzJoYNH44DBw4gMzMT77z9R3Tq1AmjR49S+xuT+1Jx4vAxnwAVJrPZiaKkg06nU39SceaWFXDyxxw5cpTyVZLcbwwTYDZgnkgCJEACjyQg4QUiIiMQFh6urrcpjz2GU6dP44cffsDKlSuxZesWpKcPxcCBA5WDuLe3d0OZVJ4eCZcH3EeACtN9OFrzRW9RkpVvOTk5arWG/DHramvVijdx6pbcb2JV0puB+adsDVUeQwIkQAJtISAWp9jYGOXDlNi9O5K6d8fJkyeRk5uDLVu2IDs7WyUwlxV3nTt3RmBgoFF1vE4bweDHBxCgwvQAMA/aXVZWisuXryA3N1fFUxLHbjH9Dhk8GGn9+6snGP25/AM+iCH3kwAJkIC1CIjFSSz7Q9LT1TVZHmwztm/HmbNncLWgAGdyz6BbYjcVILNjxwRER4uTODcSeDQBKkyPZgSdDigrK0NR0Q31xCIRus+fP6/yGz377LMYPXq0yofEJJGtgMlDSIAESMDqBPQPrBJqoGfPnup14cIF7N61S80KnDx5AuEREUhN7Yf+/fsjNDRMXc99fX3pa2p12ThvBVSYHiI7iaMkq95u376N7du3Y/OmTcjPz4eYe+fO/YlSlPTRuaUQ+YPSqvQQnPyJBEiABGxMwHBN1qhpOJmKmzJtKrKOZeHbb7/F8uUrsGzZcowcOVI5iOun6rQq9AszL9hYVE5QHRWmZkLS+yjV1dWhtLQEX3z+BT5buhT1dXV44okn8MtXfolevXvD00PSmMhm+EM2fOUbCZAACZCAgxFovE4HaYMwfPhwDB06FOXlt7Bp02YsXboUX335JTp36YxRo0arh+GkpCSjeE7SncYyHKxzbI6NCFBhUqD1SpJ8vHXrFo4ePYJ169Zh3/79CAxojxfnzcOYsWOVf5KXl1eDssQ/j43GKKshARIgAQsS0F+7xUlcwr/MmDEDTz31lEruK75OOzIysHLFCsTFxeFHI0di4sSJiI2NhYeHR0MbeO23oDCcqig3V5gaFSXxSdq9aze++26/yvsWExuDl156CYMGDlJz20FaLTy9aFVyqtHNxpIACZDAQwiIg7iXl6dKqSIWJYkSPn7CBBUi5sjhw9ixYwc2bNigAg8PHjwYqampSnlqDE0ghVOBeghil/rJDRUmvZKk09WrpLhZWVnYs2ePcuLW1evQoUMHjBo9Wi0/lc+S2JF/CJca8+wMCZAACTQhIIl+fRARIbGcQvWhCRITMfzqVVy4cB6nTp3GN998g23btqFDXBySk5OVI3mnzp3g6Wl8G6Xy1ASsS301lrRLdax5Z/SK0p07d3DlymWcOnUKZ86cxZUrV6DRaNQS0y5dukCeMjp27AitVtugKPEP0Jwl95AACZCAaxKQqTetNlDdA7p27YqePVOQlNRD5a6TMDI3rl/Hzp07VUTx2LhYdO7cBT16JCE2Ng6+fr7QwDBzwXuHq40Qt1CY7t6twdWrV5F35QouXrqEixcvorDwKupq69AhPh6SyFECToaHh8HLi1FgXW2Qsz8kQAIkYDoBnfJbCgkJxaBBg9SrsLBQBSyW2E6XL13CyRMnkZt7Bieys5HQsSOioiIRFRWNqKgoBAcHw9PT4Pdkeu08w/EIuKTCJHGTampqlAN3cXGxClYmCXFPnz6N0tJSlQRXonGnp6erFW9iYdJv8kTApwLHG6ZsEQmQAAnYg4Dx/UCjMjhIFodhw4ap+4tkefj++++Qk5OL49nH0T6gPeLj45VLh8xUBIeEICQkRFmrJCaU3nHcuEx79Il1mkvAZRQmg5J09+5dVFZW4vr16zhy5Aj27d2HnJzTCAkNVQ57zzz7rJp7Fu2/ceMAbmTBTyRAAiRAAs0JNN4nZIWd3EOGDBmiXlVVVSp3nST/PXb0KPZ/t189e8cnJKjAmH369FZ+Ue3aBagYT+I0Liuu7z2rN6+MexyQgBMrTAarkJ5qTU01Tp78AXv37sW+fftw/tw5+Pr5YeCAgXjn3T+id6/eKjHu/TJo/APcv5/fSIAESIAESOBhBBrvH35+fsq1Q9w76uvr1Urro0ePYvfu3Vi2bBk+/PBDhIeHQ/LY9U9LU8d27tIFEln8/q2xzPv385sjEHAihampglRzz4okiRVlDlmicnfoEI8BAwfgtddeU5YkFTfJ01M5dnO6zRGGnKXacP94sFSpLIcErEfAMGZ5U7QeY3uV3ChTsT5FRkZizJgxKtixKFCSlkUUqEOZmVi+fDne/+AD9QAvTuWDBg5En7590a1bVwQGao3iPRn3pbF84738bFsCDqowGS4sjTDq6+tUWpLTp05D/JHE6U4c8MSm2a1bN8z9yU/w2GPJiIiIREBAgHrpVywYyuCAM5DgOwmQgDUJNL9+3V+b4Xdek+7n4jrfZKpN7xurgaRYkQTt4vs0YsQIyEptyUt67tw5yP0sIyNDBUoWHydxFu/StSt6JCWhW2KiCp4p9zN9ntKW+HAMtUTFWvvsqDAZLhrNuyZpSe7cua0UogsXLiI3J0etcispLUFtbS0CAtqjU+fOavDJHLE41ckKt6CgYDU/zHnh5kxdZ8+Dx43r9JE9IQEScB0COvj4eKuXhKvR6XSIawhHkJaahtKyMpSUlKCgoODeam5ZoCRZ39sFBCAyIkLFB5QV3RIbMDIqEoGBgQ0ZJx50PaQiZY3xY6bC9CAhmdZECR4p02hlZWUoKipWU2w3btxASUkxyspuovzWLeXALQ5yMtA6xHdAWFi4CiYpEVlFYxdliVNtpnHn0SRAAiRAAvYgoFOO3uK7FBEhr3BlPaq+W42y0jLl+yTWp5LiEpTd1CtS8jk7OxvHjx9XcZ4C2rdX98PgoGCEhoQgOiYGYaGhCAoOVjMr+ijklrlH24OQI9dplsJ09241ampqlZe/wdPfw8NTac6iBNXX65Tjm1iDamtrlFJUWVmllJ+KigplkpR3ed0uL1cDQxSkijt31LES98vX1w/aoCBlypT4FrJEUxQk0aylTm4kQAIkQAIk4AoEfH181XScTMnJJn5P1dVVkLA4Eiyz8GohiorFkFCG8vJypVDJMV6enhAFKrBBidIGadUMjL+/P9oHBCBQq0X79u0RENAOfn7+Kpr5/ZHJXYGe7fpgluZx8eIlFS5elCR/Pz9oPDwgqwTq6mpV/COZUhNlSaxHEjRSptdu3rylV5Bu31aWo4rKCqV0idBFuNrAQGU5io2LQ0KCmB7j1Xcpt/lGc2NzJtxDAiRAAiTgfASa388kXpO/fzt06CCv+HtdkpA5paUlKCy8hry8POXXe/36NVzJz0NlbgXk3uvh6QlRwNq3D1BxoIKCtGomRmJEhYWHq/trTEzsvTL5ofUEzFKYxDy46qtVuHnrJjw9PKDReCCgfYBSliQOkq6+XrVAhC5L+8XpTRzggoOCEBoWpqJrS0TUuLgOiI2JQVR0tNKCGwNINu1A8wHV9Ah+JwESIAESIAHXINDSPU+jjAv+/nEqDYuEMDBsMqVXWlKKa9euoaAgH/n5BcoHOD8vD1nHilBTW4vb5bfVLM2kyZMwdepUw6l8N4GAWQrTxIkTMXRoOm7KNFplBWpralF+uxw+Pr7w8/OFzKGKhitKVLt27dRLptgerBAZWtzSIDH8xncSIAESIAEScFcCD7o/atT9VlxW5NW7d+9mgG7duomioiKIa4ze77fZIdzRCgJmKUwyTebnJ/lyoltRRdNDHiT0psfxOwmQAAmQAAmQwMMJPOyeqnf+1mqDIC9ubSNglsLUtirpvd82fjybBEjAtgSsdc2yVrm2pcPaSMBdCJilMInvkgSNLCsthTh+cyMBWxIQx8fVq1ephQWG3IEMLdF2CdTV1avk1KtXrcLUadMQGhrq1tnWZYWv5KTMzMxsM1zJNbZq1Sq1yleCF4ojruS/5EYCtiIgwZ8jIiJUTjtxKOdmOgGzFKYb169j/759OJF9QsWFML1ankEC5hLQoKqqEtu2blMrQuRmJmkHqDCZy7PxPAkHUllZoZYyHzjwPSRRqDsHgZVVSKLUrFmzuhGSWZ80asXwtm3bVJwc8SeRpd4SwJAbCdiKgKxa79+/vwr4TIXJPOpmKUwCW5YlVldVw9vH27yaeRYJmExAP4UhT0phoWFYt34dEhMTlSWECpPJMJuc0Dg91LevJBCtM7KAuOeN/eDBTKXUSL4v8zfDmK1X49TLyxMhIWK5E8u8e3I1nyXPbAuBmpoaFetJFmdxM4+AWQpTXFycynFjXpU8iwQsQ0BWZs6ePVuZmC1TIkshgUYCWVnHlcL0wgvzGnfyEwmQgNsS8HDbnrPjTk9AP6XBp3SnFyQ7QAIkYCMCcr3kNdNc2GZZmAjcXNw8r+0EGqeOGsviBaCRBT9ZnoC546ulsdpS68wtv6WyuI8ESMBaBGhhshZZlksCJEACJEACJOAyBKgwuYwo3a8jkq+QC43cT+7sMQmQAAnYgwAVJntQZ50WISAR5x+dbsciVbEQEiABEiABNydgpg+Tm1Nj9+1IQKdWLt25U4EJEyZAqw20Y1tYtSsTmDXrWVfuHvtGAiRgIgGNTqfTyVO6aUHU6KRoImcebkECMlYl2rdEmff19aGVyYJsWZQlCdDp25I0WZYlCbR2bFqyTucty6Aj0cLkvDJ0q5aX5x3HubO5uFQVhoikgRjSOQDAbVzO3Imcq+W4ebcBh58Wfgl98GSvSLfiw86aQqAC+ccOIDevGMVVDed5+wPxqZjRTxKKV6AgKxO5V26gyPC7lx8Qn4bp/aJNiH4uD5aPujHx4dMUyfFYErAnASpM9qTPultHoKIIx7f/AwsXLsT2mz2R+svlWPOC5EK6hj3vv4KPDt/FVQRBKwFsw7oidMICKkytI+umR93AgU9/h79n5CG3LgwhfgDaR0Ez9ncNClMRDv7zP/Dx1vM4VRuu/z0gHBj7H5jaNwqeJuWLoULkpoOM3XZBAlSYXFCoztkl4ydx45tMPWqzl2PN8Uoc9kjD412rcbtJBwfNew+jnpqOcV2a/MCvJPAQAn2feR3zZszHzB4tH9R7xgL864x/w7PJLf9un73G/xNTWmD8nzLlPB5LAiRgIMBVcgYSfLcjgYfdBPKxafV6+LQPwYQxI5Fgx1ayahKwL4GH/U/s2zLWTgLuQIAKkztI2Sn6KE/AhqfgxhtD3pd/wMd1YxAycCKmJxl3pPGYXf9vHmYNiEZUVAoGjv0Nll6W4+T3xmOMz3TMz4b2usO7Y0jgwOLf4MWhMm56IGXAfCy8YGCvb1/mkt9h/nD5PQn/0u9FfHJBA929cWU41pbvjsGNrSABdyXAVXLuKnmb91tuLLIZlKKGr+oGZNgnx+igolFqPIC8L/H67Az4zpuFSU92gc/OT7FyySb88KT4MHUCUIUbZ06hoLQSd2p1uHMhE0e3b8eKvLH47y0vIfnObQT4+TVkhjfU96h3QzsfdZzx74b2G+8z5bM5dZpSviMe21ZmbelTNYov5KKgqBzlNUBVwQ84tfVL/OXwE1h2aAH6oBoVF8+goOgWbt0FqgpzkLtlBd7LHI2lBxegr6cG/m2p3i7n2pO3XTrMSh9KwB2vOQ8F8tAfuUruoXj4Y9sJPOgP2dJ+430aQFMH4Aa2fvBfKO7/Omb07Ymk4DpcaNYoP0Qk9kVEw/6a5EBodZeR8cpybDv+ElK6+8DDw2BENa6jWUFt3GFcNm9MrYMpzOzFyhdhnXsirLO+pbW3IxHT7jxWLVyEbccXIKmHL0I7pSBUdHIAtXdiEB94Dl/8fSG2H38N3ZM94S8LDLiRAAm4FQE6fbuVuJ2ls6IwXcKezw8ht982rP1nFr4PqMC105k4cToP1z0+xpseT+Fn/9ofoZ4e8Gzolrd/AAJDQxGoq0JVJeDtLTGabN1neyoCtu5rW+tzDFZevn7QhkciGPpxo6u/v19ePr7QhkUiSH6vApr+fv/R/EYCJOCqBAyP367aP/bLKQnIjdQXnYfNQnf/UtzKz0Vu7jlcyi9C8e1K3L5+CbmXS3Hx4DbkyrRKrb6TFdfyceVUDs5HDkSfTsA945JTMnCXRttco8W1Y7txtrAEZTV6xlUlN3Dl2BGcDE9X46bsh704e7UIpQ2xvapLi3HlaCZORgxF744a+Hm7i2zYTxIgAWMCtDAZ0+BnByHgA6A35v7zM8y916IiZK/97wYfprew9IVOOPD7ifiieyVS4qPRwR+4fmo/9h/Pg3biKxgUhXuWp3tF8IODEjBFaWr7NF7e5o+wNepJxCd0Rbf2QOnFwziw7zQCpixQ4+bqPz/GjrAnENuxOxLbA2WXs3Bw10m0m/IbDIrWwI+PmQ46jtgsErAuASpM1uXL0i1GwAOePu3QThsEbcMda+DIFPyvXy/AB5dL9bWEp6LPk7/Ckj9NRgeL1WvNgkxRFKzZDvcqO3VoMt76/R/xXycK9R0PTkLHH72GVX9/Wo2bDuk98Od//zP+lFWg/z0oEXHDF2DNx88wrIV7DRX2lgTuI8BVcvfh4BfLEXBnZaC1VhB3ZtSWkdZavqbW4crysBYzUxnzeMcg4Mpj3fKEuUrO8kxZIgmYQIAXLBNgGR3KG78RDBM+tjTeyNIEgDyUBMApOQ4CErA5gZZuXq1phPENztwyWlOPIx9j6LcxC0duryO3zcDS0EYyNZDgOwm0RIAKU0tUuI8EHJJA0xucQzbSRo1qyoI3exuBZzUk4LYEqDC5rejZcRJwJQJNFShX6hv7QgIk4AgEuEDWEaTANrgQAVo6XEiY7AoJkAAJ3CNAhekeCn6wLAFRHPSvurpa1Nc3CZ9s2cocpDQqSw4iCDaDBEiABCxOgAqTxZGywKYEqqqqUFvbEFa56Y9O/b1RKbRfXjSnBsjGkwAJkIDTEGAcJqcRlTM21JX9StpiTXJlLs44TtlmPYG2jGkydC4CvAaZIi/GYTKFFo8lAUXAnBsKL0wcPCRAAiTgCgS4Ss4VpMg+WJlAS4oSFaHWQW+JXfMzdTpAnuK4kQAJkICjEqAPk6NKhu0iATciILqSTqdDeXm5enf+roui2NLLHj1rqR0t7bNH21gnCTgPAVqYnEdWbCkJuDwBLy9XuSQZW8tEObHFZqt6bNEX1kECjkeATt+OJxMXapHxTcOZu9XSjchV+mZtubTE7mF1uipXAwdr9s9Qx8P48jcSEALWHIeuR5hO364nU/aIBFyAgC1v+ra8aVi7Lltyc4Fhxi6QgBkEzLR/W/vPb0ZPeAoJWI0Ax7v5aMnOfHamnEnOptDisSRgDgE6fZtDjeeQAAmQAAmQAAm4FQEqTG4lbnaWBEiABEiABEjAHAJUmMyhxnNIgARIgARIgATcigAVJrcSNztLAiRAAiRAAiRgDgEqTOZQ4zkkQAIkQAIkQAJuReDeKjmmJXArubOzJEACJEACJEACJhC4pzBJWgJuJEACJEACJEACJEACjQQMBiUV6btxNz+RAAmQAAmQAAmQAAk0JfD/AVc43onKiXBGAAAAAElFTkSuQmCC"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{15}}{{0.0548}}\) <strong>(M1)</strong></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for dividing 15 by their part (a)(i).</p>
<p>Accept an equation of the form 15 = <em>x</em> × 0.0548 for <em><strong>(M1)</strong></em>.</p>
<p>274 (273.722…) <em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong> (C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from part (a)(i). Accept 273.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The following scatter diagram shows the scores obtained by seven students in their mathematics test, <em>m</em>, and their physics test, <em>p</em>.</p>
<p style="text-align: left;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxQAAAF4CAYAAADNKr+ZAAAgAElEQVR4AeydCZgVxdWGPxYRk9EIinFwQ1RAEcGwRAXNCMmAwS0gwXVQIAGDCvoLuBIX1LAERTRg4iCgoqIQDC5ABNGIBARl0cAgGhecUZFFGQMIM/0/NVBDT83te2qYupfb3V8/z9hdVafO+c5b90rX7aVqeJ7ngRsJkAAJkAAJkAAJkAAJkAAJ7AOBmvvQh11IgARIgARIgARIgARIgARIoIxAbT+HGjVq+Is8JgESIAESIAESIAESIAESIIFyAolubqowoVCWiYzKPfCABEiABEiABEiABEiABEgglgSCLj7wlqdYfhyYNAmQAAmQAAmQAAmQAAm4IcAJhRuO9EICJEACJEACJEACJEACsSTACUUsh51JkwAJkAAJkAAJkAAJkIAbApxQuOFILyRAAiRAAiRAAiRAAiQQSwKcUMRy2Jk0CZAACZAACZAACZAACbghwAmFG470QgIkQAIkQAIkQAIkQAKxJMAJRSyHnUmTAAmQAAmQAAmQAAmQgBsCnFC44UgvJEACJEACJEACJEACJBBLApxQxHLYmTQJkAAJkAAJkAAJkAAJuCHACYUbjvRCAiRAAiRAAiRAAiRAArEkwAlFLIedSZMACZAACZAACZAACZCAGwKcULjhSC8kQAIkQAIkQAIkQAIkEEsCnFDEctiZNAmQAAmQAAmQAAmQAAm4IcAJhRuO9EICJEACJEACJEACJEACsSTACUUsh51JkwAJkAAJkAAJkAAJkIAbApxQuOFILyRAAiRAAiRAAiRAAiQQSwKcUMRy2Jk0CZAACZAACZAACZAACbghwAmFG470QgIkQAIkQAIkQAIkQAKxJMAJRSyHnUmTAAmQAAmQAAmQAAmQgBsCnFC44UgvJEACJEACJEACJEACJBBLApxQxHLYmTQJkAAJkAAJkAAJkAAJuCHACYUbjvRCAiRAAiRAAiRAAiRAArEkwAlFLIedSaeFQGkRljzYCw1r1ECNGp0xdMYaFCcIXFq0BJOHdkaNGjXQsNejWFL0QwIrVpEACZAACZAACZBAZhLghCIzx4WqQk9gC96buRC49G8o9HagcPGF+PK6K3Hv/G8qZla8BGMuvwcFnSeixNuBZb2+wdDLH8Wy4tKKdiyRAAmQAAmQAAmQQIYS4IQiQweGssJNoPSjD/Dtzy9Eu+w6AOogu11P9LoKeHLOSnxXntp2rJ02GmPa3YRbOh6Fmsqu4wDc2e4F3DZtLTilKAfFAxIgARIgARIggQwmwAlFBg8OpYWXQM0T2iPnKDWZ2LOVfoNPlh+Dm377MxxSXvcJ3nruXbRo2hBZug710abzL7DqubexjjOKcio8IAESIAESIAESyFwCnFBk7thQWSQIlKJ47XxMvPUhrBv6CG5qfWh5VqXr3sZzcw9Fq0aHo9IXce5svLVue7ktD0iABEiABEiABEggUwlUOo/JVKHURQLhI/AN5g9th4ObdkKfkf/AojmLsa782YhSFK9fh1VojKZH770+Eb4cqZgESIAESIAESCDuBDihiPsngPmnkMDh6DhiKbySQiyddBUwsjtyBs7EF7yVKYXM6ZoESIAESIAESCDdBGqnOyDjkUDsCNTMRuted+Oxkv+i6R1LUVB8MY46pCayjj4RLTAXBeuLgSZ1k2JRr5S12YYNG4a7774bf/zjH8vNzXJ5g+/AtDHLPtPyQ9PGLJcb+g5MG7PsMy0/NG3Mcrmh78C0Mcs+0/JD08Yslxv6Dkwbs+wzLT80bcxyuaHvwLQxyz7T8kPTxiyXG/oOTBuz7DMtPzRtzHK5oe/AtDHLPtPyQ9PGLJcb+g5MG7PsMy0/NG3Mcrmh78C0Mcs+0/JD08Yslxv6Dkwbs+wzLT80baSy6ijZmO1R7FMOMMGByp8bCZCAQcDzbQB8JR6SAAm4JFBSkO/lZt/qzfu2ZLfbktVefu5Z3pB5G3xhtnkF+T085OZ7BXvMfI1JD6Xv7/jx45P2V40ubGx8DBs2rNpabOK4sHGh1YatC60qjqTXVRzJj9RuozWd3CS9ElcbrTY2kg4bH8pG0usqjuRHao+aVpUPNxKIMoGgcw3e8mRMsFgkgdQQ2P3MxEfntUHTrD1fu5qN0KHnUcarZIuxvuAL5PY8Cyfy25maoaBXEiABEthHArw6sY/g2C36BPyzqKBZh9+GxyRAAhKBHd766QO87Jwh3qSlhZ660FBSONe7Nbefl7/624qdty72RuV09W6dt94r8XZ4hfPu8nJyxnhLt1bx8oTneWH6/kq/nlaEtH9LYdKqSIVJL7Wm7rNNtqlhGyauqSFAr3EnEHSuwd9Aoz9nZIZpJ1AbPzmlLX5VMBJXt2mIWjVa4Jqnt6L7pIfRu1n5KhS7VWW1w01Tb0WDyV1Qq0YjXD6nMUZPHYDW+iqGQ+0TJkwQvbmwsfEhCgEg+ZHaVQxXNpJeF3Fc+JB0umQi6ZXabbTa6LWJ48pG0uwijgsfkk4brq5sbPKR9Nr4cGFj40PSynYSiCsBPpQd15Fn3ikkUBNZzXphcmEvTLaIUjO7PW6cvAo32hhb+KMJCZAACZAACZAACaSTAK9QpJM2Y5EACZAACZAACZAACZBAxAjUUPeC6ZzUqyl9RV3NPQmQQAgIhOn7q15rG5aHG8OkVX1Mw6SXWlP3PxayTR1beiaBOBMIOtfgFYo4fyqYe6wI2Nwf7MLGxocNeMmP1K5iuLKR9LqI48KHpNMlE0mv1G6j1UavTRxXNpJmF3Fc+JB02nB1ZWOTj6TXxocLGxsfaqLGjQRIoDIBXqGozIQ1JBBKAupXg/Hjx6N///4VTqTNcqLkTBuz7LpPUVERsrOzK2l1HUf7q04+Wqv25d+bfs2y31YfmzZmWdv596aNWfbbar2mjVn299HHpo1Z1nb+vWljlv22+ljbBGnVdv697qPrzLKu9+9NG6ms+gbZJNMa1EdrMduTxXHVJ0ivqcUsp0ObmaOt1nRq0xrNvdIalqurpnaWScAFgaArFBVWsgt6FVTcX5HF/EkgDASk76/NAlMubGx82Lx6UfIjtasxc2HjQquNFhdaVRxJr6s4kh+p3UZrOrlJeiWuNlptbCQdNj6UjaTXVRzJj9QeNa0qH24kEGUCQecavELhYrpGHySQAQQCfzXIAG2UQAIkQAIkQAIkEH4CQecafIYi/GPLDEjAioDN/cEubGx82NyHLPmR2hUUFzYutNpocaFVxZH0uooj+ZHabbSmk5ukV+Jqo9XGRtJh40PZSHpdxZH8SO1R06ry4UYCcSTACUUcR505kwAJkAAJkAAJkAAJkIAjApxQOAJJNyRAAiRAAiRAAiRAAiQQRwJ8hiKOo86cI0kg6L7GSCbLpEiABEiABEiABNJOIOhcg1co0j4UDEgC+4eAzb3MLmxsfEj3dytCkh+p3caHjY0LrTZxXOUj6XUVR/IjtSsmktZ0cpP0utCaznwkvVK+NlptbGziREmrYsKNBOJIgBOKOI46cyYBEiABEiABEiABEiABRwR4y5MjkHRDAvubgLoMyYXtdo+CuViXWU40VqaNLutFt6rSJ5GtrtN+g8q63r+vSh+ttyp9dKx09wnSqvX496nQZvpU8cw6XU6mVdtovVI5WZwgH1XtE6Q3E7SZOdpqrSoDM45tWdsl2iutXNguERnWxYVA0C1PXNguyquPMLdYEQhabEZDsFlgyoWNjQ9p0S2lWfIjtdv4sLFxodUmjqt8JL2u4kh+pHbFRNKaTm6SXhda05mPpFfK10arjY1NnChpVUy4kUCUCQSda/AKRVymlMwz8gQCfzWIfOZMkARIgARIgARIIB0Egs41+AxFOugzBglkAAGbhyNd2Nj4kB7CVLgkP1K7jQ8bGxdabeK4ykfS6yqO5EdqV0wkrenkJul1oTWd+Uh6pXxttNrY2MSJklbFhBsJxJEAJxRxHHXmTAIkQAIkQAIkQAIkQAKOCHBC4Qgk3ZAACZAACZAACZAACZBAHAnwGYo4jjpzjiSBoPsaI5kskyIBEiABEiABEkg7gaBzDV6hSPtQMCAJ7B8CNvcyu7Cx8SHdM60ISX6kdhsfNjYutNrEcZWPpNdVHMmP1K6YSFrTyU3S60JrOvOR9Er52mi1sbGJEyWtigk3EogjAV6hiOOoM+dIElC/GnAdit1Da/OuffNDENRHvyPftFfloD6JbHVdqvtovamO4yKfIK3at3+finxMnyqeWafLybRqG61XKieLE+Sjqn2C9GaCNjNHW61VZWDGsS1ru0R7pZXrUCQiw7q4EAi6QsF1KKL8smDmFisCQe+G1hBs3gfvwsbGh/TeeaVZ8iO12/iwsXGh1SaOq3wkva7iSH6kdsVE0ppObpJeF1rTmY+kV8rXRquNjU2cKGlVTLiRQJQJBJ1r8ApFXKaUzDPyBAJ/NcjAzNUtDmH5lS9MWtVQh0kvtabuy0m2qWNLzyQQZwJB5xp8hiLOnwrmHisCNvcyu7Cx8WEDXvIjtasYrmwkvS7iuPAh6XTJRNIrtdtotdFrE8eVjaTZRRwXPiSdNlxd2djkI+m18eHCxsaHmqhxIwESqEyAE4rKTFhDAiRAAiRAAiRAAiRAAiRgSYATCktQNCMBEiABEiABEiABEiABEqhMgBOKykxYQwIkQAIkQAIkQAIkQAIkYEmAD2VbgqJZ9Ah42zfgw+VL8c7y5Vi5fC2+3FYKHHQkmpzSFCe3aI22bZvjmKzaoUk86EGpTEyAD4ymblTINjVsw8RVEQiT3jBpTc2ni15JIDwEgs41eIUiPGNIpY4IeNs/w1sTb8EFpzZG0zN/jSuvvQ0jH5uEKVOmYMpjI3HHwD7o3rEVjm3VFdeOnoUPNu90FHn/urF54NCFjY0PGxKSH6ldxXBlI+l1EceFD0mnSyaSXqndRquNXps4rmwkzS7iuPAh6bTh6srGJh9Jr40PFzY2PtTkhxsJkEBlArxCUZkJayJLYAc2LJuG+2++HQ99fjoG3dATnX92GpqekI0GDeojq3YNwNuOLV8W4YuPVmP5u2/gxSlP4vnvOmLUuLvQP/dEZNXIXDjqVwMubLd7fGwW7zJHMqiPXnTLtFfloD6JbHVdqvtovamO4yKfIK3at3+finxMnyqeWafLybRqG61XKieLE+Sjqn2C9GaCNjNHW61VZWDGsS1ru0R7pTUsr7xOpJ91JFBdAkFXKLiwXZRXH2FuFQjsKsj3upzUzRv23Dte4baSCm1BhdJthd6K2Y96/dqe4w2Z91WQWYL6Em9rwWxvVN6pnloEBsj1hkxa7BUmDLvBmzek9R47ZZvt5eav9hKaJoikq4IWm9HtNgtMubCx8SEtZKU0S36kdhsfNjYutNrEcZWPpNdVHMmP1K6YSFrTyU3S60JrOvOR9Er52mi1sbGJEyWtigk3EogygaBzDV6hqO5Ujf1DQ8Db+BEKSo9GswYHVlmzt70Q6775CU46+sdWfUu/eAVjp9VC19/9Ck2ydqFoyd9wy8X34bObZmLWze2Q5fNS+sUM/K5td0ws0pU9kF8wBb2b1NUVVvvAXw2setOIBEiABEiABEiABJITCDrX4DMUybmxNUIEahx2QoLJRCm2b/kaRV9uwXZ1jSBgq1G3ofVkAtiO/35YH78d2BlNstRXrA6y2/XB7cM7YMGYmVjyXakvyha898yLOPypDepq4Z6/aVWeTPgcBh7a3B/swsbGh819yJIfqV2BcGHjQquNFhdaVRxJr6s4kh+p3UZrOrlJeiWuNlptbCQdNj6UjaTXVRzJj9QeNa0qH24kEEcCnFDEcdSZ824C3rf44MlBOOeYn6Jhdj00aHs57pz4Fj7f7j/h3xdYdXFCzhk4qsK3qw6ObHQisk13372LaWOmYOS9ozBxxgKsLa5ubDMAyyRAAiRAAiRAAiSQWgIVTnlSG4reSSCzCJR+OB035f0TR/S5B6NG3olrjlqLh/qch3N7jsb8oh0pEfuj89qgadlVC+V+O9a+MAEj1a1OC0aiT/dz0fSCOzBj7XcpiU2nJEACJEACJEACJJAKAnyGIhVU6TMUBEr+MwE5t/0YU/5+FY4ve3vTLhR/9h7mPvUQbn/tZDzy9GB0yq768xaJk/8G84f+H9797Vjc3PpQw+QHFC2bi1enjUOfkXOBnDFYOmsgWpdPPAzzgGLQfY0B5qwmARIgARIgARIggSoRCDrX4BWKKmGkcZQI1GrUDj2yNmPTNv3wRG1kHdsW3W6biPm318C4++aiSDdVK/FSFC+biskNBqB/pcmEclwH2a3PR+8Rs1A47y7kLHga05ZsqlbERJ1t7mV2YWPjQ7q/W+mX/EjtNj5sbFxotYnjKh9Jr6s4kh+pXTGRtKaTm6TXhdZ05iPplfK10WpjYxMnSloVE24kEEcCvEIRx1FnzrsJ7CpG0fIZGPfGcRg08Bwcodah0Ju3Ef+6ezQKe9+NnsfW0bX7ti9eggfvLcB5d16BZuJVB3UlowuuxEisGdERh+yJqH4RsNmGDRtW9o50/z/Q6p3p/nIiP6aNWWafRARA1iAD9ckwvy9mOdGnx7Qxy+nqkyiuWSeVbRiYPjK9TyL+uk7lwo0E4kog6AoF16GI8suCmVtSAiUF+V5u1qle69NP8nIG/s2bV7DR21neY6dXOP1Ob9TSreU1+3RQ8ok3c8yz3uqttqtKbPMK8i/nOhRchyLhxy2O7/SXcpbaFUgXNtJaCa7iuNCqtEh6XcWR/EjtUdOq8uFGAlEmELQOBW95iusUk3mj5pGN0KpeMbZsLsKCsb9Dp6an4oyLrsd9+TPw+opleOO1rTimgb464WH7+k/x5a4q3ANV+gXmj30VB1/6m71XJorfx+SJCxH82HUx1q9rgaGXNAG/nPyQkgAJkAAJkAAJhIEAb3kKwyhRY2oIlK7BxDsKcN59nXHAhyuw9J1/Y8HcF/HClNfxkYqY1RY9/nAFLjr3DLRtno2tL0/DpxcNQrfs2rKe4jWYce9AdFcPWVfYspGbPx+v9m6GmqVFWDbrPaDdL9E6uw5QWoQlY8fhpZYDcFfHo6o8oQi8DFkhPgskQAIkQAIkQAIksG8Egs41+CPovvFkrygQqNkEVww7D0fWqIvDm/wcXa4YiD9Nfg3vb/ovls+fjsdv+Tl2zBuBK887A02PPQ5trl1nl3Xpp5gxsEeCyYTq3gE9OzTaM1koxbeLx6JNwwNRo0YL9BrzJoq73oJ79mEyYSPM5uFIFzY2PqRnOlQ+kh+p3caHjY0LrTZxXOUj6XUVR/IjtSsmktZ0cpP0utCaznwkvVK+NlptbGziREmrYsKNBOJIwOKn1jhiYc7xIFATB9bVtzTpjGuibr1GaHmu+uuGPkMfQNHH72PZW//E8xO+0kbJ9zWPQ7f8VfDyk5uh5lHoeP8cePcLdmwmARIgARIgARIggQwmwAlFBg8OpWUAgdpZyG5yBs5vcjqaHzAe72WAJEogARIggSgQ2LRpExYsWIB33nkHCxcuRPv27aOQFnMggVgS4DMUsRx2Jr0vBLwd2/FDnbo40O4NrvsSolp9gu5rrJZTdiYBEiCBFBDYtm0bzjzzTKxYsaLc+5gxY3DjjTeWl3lAAiSQeQSCzjX4DEXmjRUVpYpAyS5U5SVNFWWUoKTWgRk7maioNXHJ5l5mFzY2PqR7plUGkh+p3caHjY0LrTZxXOUj6XUVR/IjtSsmktZ0cpP0utCaznwkvVK+NlptbILivPrqqxUmE8rXTTfdhPXr16vDCluQD7+RCxsbHxJXvyYek0CcCPAKRZxGO+a57lr2EC5+8hDc8n890f6YH8PuQoOHXZs/wKv5EzD/xKF48OJjMpai+tVg/Pjx6N+/f4WTcbOcKAHTxiy77lNUVITs7OxKWl3H0f6qk4/Wqn3596Zfs+y31cemjVnWdv69aWOW/bZar2ljlv199LFpY5a1nX9v2phlv60+1jZBWrWdf6/76DqzrOv9e9NGKqu+QTbJtAb10VrM9mRxXPUJ0mtqMcvp0KZiLF++HI899phOt3yvFo074ogjysr7S1u5mAQHiisXtksAhlWxIRB0hYIL20V59RHmVpHAzvXeG6Ou8E7KOsvLu3eyN2f5f71N2wIWnNv5rffZ8nneMyN7e22zjvFyBj3rfbB1V0V/GVYKWmxGy7RZYMqFjY0PadEtpVnyI7Xb+LCxcaHVJo6rfCS9ruJIfqR2xUTSmk5ukl4XWtOZj6RXytdGq41NUJy33npLLepT4a958+be//73P+W2whbkw2/kwsbGh8TVr4nHJBBFAkHnGrxCEZs5JRPdTWAHNqz4Bx4ZNgz3/GMNkNUaXS9ui+bNGqOBejjC+w7r338Xb814GcuK1VIU12LkA4Nw2S9OwqG17a5p7C/Sgb8a7C9BSeKq2wbC8itfmLQq5GHSS61JviTVbAoD2ylTpqBXr15lmbZo0aLsCisfzK7mwLM7CaSYQNC5Bp+hSDF4us80AgeiQcseuHv62/ho0Szk33Imaq1+ESPvGILBgwdj8JB7MXbh/9B8wFg8+8Zq/PfNR3BtpyYZP5mwoWxzf7ALGxsfLvTaxHFlI+l1EceFD0mnancVR/IjtdtotdFrE8eVjaTZRRwXPiSdNlxd2STLJy8vDxs3bsSAAQOwcuXKwLc8JfOhc3VhY+NDTdS4kQAJVCbA18ZWZsKaOBCoXQ+Nzzi/7K/37Q+i+JtvsHWnBxxwMBocngV+MeLwIWCOJEAC+5tA/fr1cdhhh+1vGYxPAiRQTQI8b6omQHaPAoHayDr8SGRFIRXmQAIkQAIkQAIkQAJpJsBbntIMnOFIgARIgARIgARIgARIIEoE+FB2lEaTucSaQNCDUpkIJQwPjGpuYdKqNIdJL7XqT5n7Pdm6Zxq271dqCNBr3AkEnWvwCkXcPxnMPzYEbB44dGFj48MGuuRHalcxXNlIel3EceFD0umSiaRXarfRaqPXJo4rG0mzizgufEg6bbi6srHJR9Jr48OFjY0PSSvbSSCuBHiFIq4jH/e8vQ1Y8epC/Pfgluhy9vGoW4GHh+3//Remz/0KzX7bDa3r1arQmqkF9asBF7bbPTrmglhmOdEYmja6rBcIq0qfRLa6TvsNKut6/74qfbTeqvTRsdLdJ0ir1uPfp0Kb6VPFM+t0OZlWbaP1SuVkcYJ8VLVPkN5M0GbmaKu1qgzMOLZlbZdor7SG5ZXXifSzjgSqSyDoCgUXtoviqiPMSSawc6k36gR4yJvuFVay/sH77NlrPCDHG7V0a6XWTK0IWmxG67VZtMmFjY0Pm8WhJD9Su8rbhY0LrTZaXGhVcSS9ruJIfqR2G63p5CbplbjaaLWxkXTY+FA2kl5XcSQ/UnvUtKp8uJFAlAkEnWvwCkV1p2rsHx4C3hd46Q9dcMGE9+00Z12JKSsex1WND7Sz389Wgb8a7GddDE8CJEACJEACJBANAkHnGnyGIhrjyyxsCNRoiM6D78UtV+ch78quaK3eE3tCDnrk5UEtsFThr9+tePjZ2/Gb48MxmbBJ3+b+YBc2Nj7UA6PSJvmR2pV/FzYutNpocaFVxZH0uooj+ZHabbSmk5ukV+Jqo9XGRtJh40PZSHpdxZH8SO1R06ry4UYCcSTAdSjiOOqxzbkGDmh8MR544mKgZAUebvsGCtr9Hx6dcD4axJYJEycBEiABEiABEiCB6hHgFYrq8WPvsBKo1RI3vPstNvyxEdb+5xt48LCr6A08fE17HHxwO1x634tYW1wS1uyomwRIgARIgARIgATSRoDPUKQNNQNlFoESbF40Bt1zh2B5n9lY9+DJWNCnM7o/UYKcrtn4/OV3ccDQmVj4QCfUr5FZyoPUBN3XGGTPehIgARKwIbBt2zaMHDkSd911F3JzczFs2DC0b9/epittSIAEIkYg6FyDVygiNtBMx5JA6Yf4+10P4vXsvnjgylb48Yev4bEn1gAX3YmJs17EU8PbYM2jL2DBl7ssHWa+mc29zC5sbHxI93crmpIfqd3Gh42NC602cVzlI+l1FUfyI7UrJpLWdHKT9LrQms58JL1Svn6t/fr1K5tMqLq5c+eiQ4cOWL58uSo6+Z661FomKuA/Us5Su3IraQ0IzWoSiDwBXqGI/BAzwYQENryE/o0vwJxbFmHN7aej8Mk+aJz3CjqMfxML+jfD1zOuQ8PuBRi1dBZuLnt6O6GXjKpUvxpwHYrdQ2Lzrn1z8IL66Hfkm/aqHNQnka2uS3UfrTfVcVzkE6RV+/bvU5GP6VPFM+t0OZlWbaP1SuVkcYJ8VLVPkN6qavv+++9x8803a1nl+4suughdunQpL0t+zXZ/PrZa/X10YNOvWd7XPtq/uVdauQ6FSYXlOBEIukLBdSii/LJg5hZMoHC6lwd4jYYv8rZ7X3qzB7YsW3di+KLNnudt8wrye3hAF2/s8uJgHxnWEvRuaC3T5n3wLmxsfEjvyFeaJT9Su40PGxsXWm3iuMpH0usqjuRHaldMJK3p5CbpdaE1nflIeqV8tdaNGzd66v8t5t+4ceOUiZPvqSutZYKS/EfKWWpXriWtScKziQQiQSDoXIO3PMVpWslc9xI4ognO7FAPn7w4EzP/OQNTp6wATs1Fp9MOwpa1ryB/wmtAszNw+vEH7e3DIxIgARKIGYH69evjxhtvrJS1epaCGwmQAAloArzlSZPgPmYEdmHDmyPRs+vteL1YpX46rnn2OTx2yf8wvm0HDPzwbAyb+Vfc2elohOXdyoGXIWM2skyXBEjALQH1UHZ+fj7++te/4tRTT8WQIUPQqlUrt0FC4k09Q8FbnkIyWJSZEgJB5xq8QpES3HSa+QRqo8E5gzFjxb8x++8vYf6Kl/GX356EA2odh5x7nsQby54K1WTChrfNA4cubGx82DzYKPmR2hUTFzYutNpocaFVxZH0uooj+ZHabbSmk5ukV+Jqo9XGRtJh40PZSHqrEueggw7CdYIJD/cAACAASURBVNddh5UrV2Lq1KkVJhOSH6ndtVblL2iTtEjtQX5ZTwIkgND8+MqxIoEUEDgAhzb+OTo39rs+FKedf7G/gsckQAIkQAIkQAIkQAJJCPAKRRI4bIo+AW/7F1j28iSMHnotel3zEP61+Xt8+PIUzFjxNaLzwtjojyMzJIGwEli/fn1YpVM3CZAACZQT4DMU5Sh4EDcC3uZF+PPVvTH4H2v2pN4P0wvvxI9HdEWX/IZ8hiJuHwjmSwJpJLBw4UJce+21WLVqFVq0aFH2ymcuFpfGAWAoEiCBfSLAZyj2CRs7RZaA9zVeH3EzBs9vjlFvfoA3RubsSfWn6DT0Txh68r9xz6AnsfR/6m2J0dhs7g92YWPjQ7q/WxGX/EjtNj5sbFxotYnjKh9Jr6s4kh+pXTGRtKaTm6TXhVadz6ZNm8oWh1OTCbWpvVosTtVLOrSPso5J/iPpdRVH8iO1qxSipDXJkLCJBCJNgFcoIj28TC6QwHfzMbRZJ/ztollY85ccfP7nC9BmcFNML3wE3bJ3Ye3EPDTt8wPGfzAV/U/5UaCbTGpQvxpwYbvdI2IubmWWE42baaPLetGtqvRJZKvrtN+gsq7376vSR+utSh8dK919grRqPf59KrSZPlU8s06Xk2nVNlqvVF69ejUefvhhbV6+v+GGG3DyySeXlU0fqtKsS1YO0pusjxYi2ZjtVdVmxrHVWt04Ztygsq5PtFda+ZanRGRYFxcCQVcouLBdJJYZYRJVJrBnYbsTRi31dnpbvaWjcjygnze9cKfneTu9wun9yha6G7V0a5Vd768OQYvNaD02iza5sLHxYbM4lORHald5u7BxodVGiwutKo6k11UcyY/UbqM1ndwkvRJXG63a5q233qq0UJz6/r733ntOPrM2bKV8tVa1T7ZJfqR25Vtia+PDhY2ND0lrMlZsI4EoEAg61+CEIgqjyxyqTuD7t73hp2Z5WZc9631aakwoSou82YNO95DVf88Eo+ruPa/E21ow2xuVd+qeE4dcb8ikxV5hSWVfJYWLvUlDcsvssvMe8RYX7qhsZFET9CW36Jp2kzD9oxwmrWogw6Q3rlr/97//eZdddlmFSYUqq3pXW1zZuuJHPyRAAokJBJ1r8C1PcblGxTwrEvhRC1w8oCvwzAj88a//wiff/gDge2z+dDnmjLsN1z/0IU666tc488h9W9au9IvZ+NvLwIWProDn7UDh4gvx5a0X4/IxS1C2jp5WU7wEYy6/BwWdJ6LE24Flvb7B0MsfxbLiUm3hbG9zL7MLGxsfNklJfqR2FcOVjaTXRRwXPiSdLplIeqV2G602em3iuLKRNNvGUes6qIXiJk+ejMGDB5ftVVnV2/qQtEjtruJIfqR2Sadqt/HhwsbGh/S8h00+tCGBKBLYt7OlKJJgTjEjkIXmfUdjZtHvcXH/X2NSWfZvo++ZTwHIwkk978Pku89Ddo19wbId//2wPn478AwcVTZlr4Psdn1w+/A30PSOmVjy+zboeIhq2I6100ZjTLubsKbjUVA12R0H4M45F+G2aefh1d7Nyur2RQH7kAAJZDYBNXnIy8vLbJFURwIkQAKWBDihsARFs4gR8DZgxdyl2NppBFZ0H4LlS1fh4007gKxsNG3eBm1++hXmz/g76vy2G1rXq1XF5OvihJwzjD51cGSjE5Htry39BG899y5a9GyIrPL6+mjT+RdYNeJtrLu6GZrwGmI5GR6QAAmQAAmQAAlkKAH/HVJB90X5bXhMApEgsHOpN+oEeMib7hVWSugH77Nnr3H8UHaJ9+28W70Tek/31u95jqKkIN/LRWtvyLwNPgW77bLRw8sv2Oarlw/D9P3l/d3yeO6rBdnuK7nk/cLEVWUSJr3Umvyzx1YSyCQCQeca/P0zQyd6lJUCAt4XeOnaFlCvPKtxQBsM/gjAlO5oqMoV/urg2EufALKOxk/rHeBIyCYsnfMF+v+h457boEpRvH4dVqExmh699/qEo2AJ3djcH+zCxsZHQoFGpeRHalfuXNkY0ioVXcRx4aOSsAQVruJIfqT2BNISVkl+pHbl1JVNQoG+ShdxXPjwSQo8dBVH8iO1Bwr0Ndj4cGFj48Mni4ckQAI+ArzlyQeDhxEnUKMhOg++F7ds/zsKd23EBzNfxrKf5qBH+2NxkJn6QUehzQV5+M3xB5ot+1AuRfGyqZjcYAAebX3oPvRnFxIgARIgARIgARLIXAJc2C5zx4bKUkmgZAUebtsBt7d7Bh9POB8NUhmreAkevLcA5915BZpl7b0oWLp2Is5r+he0mjcbIzoevkdBKb6bfweadVqH4QVT0LtJ3bJ6dQXFZhs2bFjZokv+N5GoRZj85UR+TBuzzD6JCICsQQbqk2F+X8xyok+PaWOW09UnUVyzTirbMDB9ZHqfRPx1ncqFGwnElQAXtsukG9CoJT4ESj7xZo551lu9NdECFKu9/NyzjGcotnkF+T085OZ7BQm6JAMXdF+j7mOzaJMLGxsfNvdMS36kdpW3CxsXWm20uNCq4kh6XcWR/EjtNlrTyU3SK3G10WpjI+mw8aFsJL2u4kh+pPaoaVX5cCOBKBMIOtfgFYq4TjGZd+oJlH6B+WNnAZf2RsfsOrvjFb+PydO+xW96t8ch6rWxE/OQU9Afa0Z0xCFlFt9g/tCLMKJpfpVfGxv4q0HqM2UEEiABEiABEiCBGBAIOtfYe/9FDCAwRRJIG4HiNZhxa290uuladGp44N6Hvg/OxVQctuc1sXXR5Lc346YlY/Cn+V+gFD+gaP6juHfJJbj/t02cr0Fh88ChCxsbH9ItWGqcJD9Su40PGxsXWm3iuMpH0usqjuRHaldMJK3p5CbpdaE1nflIeqV8bbTa2NjEiZJWxYQbCcSRACcUcRx15pxaAqWfYsbAHug+cm6COB3Qs0OjvZOFrHa4aeqtaDC5C2rVaITL5zTG6KkD0Nr3rEUCJ6wiARIgARIgARIggYwhwLc8ZcxQUEhkCNQ8Dt3yV8HLt8uoZnZ73Dh5FW6cbGdPKxIgARIgARIgARLIJAK8QpFJo0EtaSZQiu1F72Phf76BBw+7it7Aw9e0x8EHt8Ol972ItcUladYTn3BhektKmLSqT1CY9FJr6r7zZJsatmHimhoC9EoCiQlwQpGYC2sjT6AEmxf9Gb9u0gIX/HUZNnuf4x+398fASRvQ5hcHYekdV+Ki4QuwyYs8iP2SoHTP9H4RFRA0TFpVCmHSS60BHzoH1WTrAGICF2HimkA+q0ggZQT4lqeUoaXjjCZQugYTz+uIPv/tiglTh+PqQ17GhU37YO5FU/Dx3y/AV/f/Bmf+qRmmrx2HbtnhuDNQvXlh/Pjx6N+/f4UHms1yonExbcyy6z5FRUXIzs6upNV1HO2vOvlordqXf2/6Nct+W31s2phlbeffmzZm2W+r9Zo2ZtnfRx+bNmZZ2/n3po1Z9tvqY20TpFXb+fe6j64zy7revzdtpLLqG2STTGtQH63FbE8Wx1WfIL2mFrOcDm1mjrZa06lNazT3SiuvUphUWI4TgaC3PMH/rtygd8v6bXhMApEg8PUsr18WvEbDF3nbve3ex1Ou8IB6Xofxq7xd3k6vcHo/D8jxRi3dGpp0pe+vzfvgXdjY+JDeka+gS36kdhsfNjYutNrEcZWPpNdVHMmP1K6YSFrTyU3S60JrOvOR9Er52mi1sbGJEyWtigk3EogygaBzDd7yFKdpJXPdS2DXD9hWrItbsHbZ+wBaokuro1ELu7B1yyYAdVGntt0K1doT9yRAAiRAAiRAAiQQNwK85SluI858dxMoeR8Tcs7BtTt+j2fvOw6v9PwDphx1PxYtvgnN1r+MB67si5FbB+LNxXfi7EPCMe8OvAzJMScBEiABEnBCQD1DwVuenKCkk5ASCDrXCMeZUkihU3YGE6jVDN3vuxnnrh6BS3P/gCmbT8c1d1yC1geuwZRLe2Hk6jMw7JE+ODMkkwkb0jYLTLmwsfFh82Cj5EdqV0xc2LjQaqPFhVYVR9LrKo7kR2q30ZpObpJeiauNVhsbSYeND2Uj6XUVR/IjtYdNq9LLjQRIoDKBcDxtWlk3a0igmgRqo8E5gzFjRScsXvkN6jT+Gc5skY0DamxBzj1P4o0m5+CsJvXBL0g1MbM7CZAACZAACZBA5AnwfCnyQ8wEgwkcgEOPb4nWNbeg7nFHoq56XGL7t9h5aBOcdOyhnEwEg2MLCZAACZAACZAACZQT4DMU5Sh4EDcCXvFKPDV4AP7w4tl4cc1wdDykJkr+MwE5za/F8nPvxcynB6NT9oGhwRJ0X2NoEqBQEiABEiABEiCBjCYQdK7BZygyetgoLmUEvK/x+vBrkTdhK7pedzYa1dn9Nqeax+bi/slD0fadO3HxtU9j7c7orGxncy+zCxsbH9L93WrcJT9Su40PGxsXWm3iuMpH0usqjuRHaldMJK3p5CbpdaE1nflIeqV8bbTa2NjEiZJWxYQbCcSRAK9QxHHUmTPw3XwMbdYJf+syHe/nd0PDCm+HLcaKhy9Fq4E/Qn7BFPRuUjcUxNSvBlzYbvdQmYt1meVEA2ra6LJedKsqfRLZ6jrtN6is6/37qvTReqvSR8dKd58grVqPf58KbaZPFc+s0+VkWrWN1iuVk8UJ8lHVPkF6M0GbmaOt1qoyMOPYlrVdor3Syrc8JSLDurgQCLpCwYXtorz6CHMLJlA43csDvBNGLfV2VrLiwnaVkPgqpIWqpHblSlrIStlIfqR2Gx82Ni602sRxlY+k11UcyY/UrphIWtPJTdLrQms685H0SvnaaLWxsYkTJa2KCTcSiDKBoIXtOKGI8qgzt2AC29/xRrXM8vCrCd4HP5RWtCst8mYPOt1DVn9vemHl6UZF48wpBX3JM0fhXiXSCcRey/1/FCatilaY9FJr6j7fZJs6tvRMAnEmEHSuwWco4nKNinlWJHDgKbjwhguR9c+7cfXvR+HZeYuwbNkyLP3XP/DYLf0x4KEP0WzAJcg5MjovQrO5l9mFjY2PioORuCT5kdqVV1c2iRXurXURx4WPvYqCj1zFkfxI7cEKK7ZIfqR25c2VTUVllUsu4rjwUVlZ5RpXcSQ/UntlZZVrbHy4sLHxIT3vUVk9a0ggHgSic7YUj/Fils4I/AhN8kbi5U1D0XfwUFw2ye/4GOQMehyP3pGD+hWerfDb8JgESIAESIAESIAESEAR4ISCn4P4Eqh9FM65eQpWXnEHVqz+CF9s2YGaPz4CxzduiqYnNti9LkV86TBzEiABEiABEiABErAiwAmFFSYaRYFAydrnMOi+BTiu7z24+azNeG7QA3jlu9Lg1Gqejr5jrsfZ9WoF27CFBEiABEiABEiABOJOwP9gSdCDFn4bHpNAWAnsWj7WOx3NvH6zvvC8Xcu9sadnqUUmgv+yrvdmfb0rNOmG6fvLB0ZT97Ei29SwDRNXRSBMeqk1NZ9ZeiWBVBAIOtfgQ9lxn1HGKP9aLW/Au95qTDi/IVCrJW54d6t6y1nw39aHcX6D6FydsHng0IWNjQ+bj53kR2pXMVzZSHpdxHHhQ9LpkomkV2q30Wqj1yaOKxtJs4s4LnxIOm24urKxyUfSa+PDhY2ND0kr20kgrgS4sF1cR555R44AF7bbO6Q2i3fttd59FNRHL7pl2qtyUJ9Etrou1X203lTHcZFPkFbt279PRT6mTxXPrNPlZFq1jdYrlZPFCfJR1T5BejNBm5mjrdaqMjDj2Ja1XaK90sqF7RKRYV1cCHBhu1Rc96HPkBMo8bYVrvLe+mCDV+qVejsLF3hjrz7Ly8pq6/UcPtMr2Bqe253UQARdhtSDZLPAlAsbGx82tzhIfqR2lbcLGxdabbS40KriSHpdxZH8SO02WtPJTdIrcbXRamMj6bDxoWwkva7iSH6k9qhpVflwI4EoEwg61+AVirhMKZmnQaAEmxeNQffcIVjeZzbWPXgyFvTpjO5PlCCnazY+f/ldHDB0JhY+0Ck0r44N/NXAyJxFEiABEiABEiABEtgXAkHnGnyGYl9osk/4CZR+iL/f9SBez+6LB65shR9/+Boee2INcNGdmDjrRTw1vA3WPPoCFny5K/y57snA5v5gFzY2PmwWh5L8SO0qbRc2LrTaaHGhVcWR9LqKI/mR2m20ppObpFfiaqPVxkbSYeND2Uh6XcWR/EjtUdOq8uFGAnEkwAlFHEedOQMb12HJ20Vo1KsPrm5zKAoXz8dc1EOHLqfj2BpZOO7kpkDxGnxcuJ20SIAESIAESIAESIAEkhDghCIJHDZFmMCuH7CtWOe3BWuXvQ+gJbq0Ohq1sAtbt2wCUBd1anOpbE2JexIgARIgARIgARJIRIDPUCSiwrroEyh5HxNyzsG1O36PZ+87Dq/0/AOmHHU/Fi2+Cc3Wv4wHruyLkVsH4s3Fd+LsQ8Ix7w66rzH6g8kMU0Vg27ZteP755zF69GiceuqpuOSSS9CtW7dUhaNfEiABEiCBDCcQdK4RjjOlDIdLeSEkUKsZut93M85dPQKX5v4BUzafjmvuuAStD1yDKZf2wsjVZ2DYI31wZkgmEzYjYHMvswsbGx/S/d0qH8mP1G7jw8bGhVabOK7ykfRWJY6y7dWrF1atWoVnnnkG3bt3x8KFC1U6TsZH0uoqTlVyLksuwX9caE1nPpJeF0xc5RMlrQk+OqwigVgQ4BWKWAwzk6xMYBe+L96OH77+AEtWfoM6jX+GM1tko26NLVj50gJsaXIOzmpSH7Urd8zYGvWrwfjx4wPfo59MuM276c3+1ekT9N55M4YqVyeO9mf60PX+vWmjy1qr31Yfa5ugsq7371PdR+t1Eefaa6/1Sy87Puecc3DZZZeV11cnTpDWcue+g+rE0W5sfATZJNMa1CcorqpPdZ8gvVLcdGgzudhqTac2rdHcK61ch8KkwnKcCARdoVCrBJdvQe+WLTfgAQlEhcDOpd6oE5p5XQc95D07b7n32dadoc9M+v7avA/ehY2ND+kd+WowJD9Su40PGxsXWm3iuMpH0luVOOozZf71799fpeNkfCStruJUJeey5BL8x4XWdOYj6XXBxFU+UdKa4KPDKhKIFIGgcw3e8hSnaSVz3Uug5mFodlEjrHloEC7t1ArHtuqK/vdNxEv//ghbdqlzKBdbKYrXLsCMF0aj14m3Yf53pQFOv8H8oW2gZv27/xqi88Q1CLIOcMJqEnBOYMyYMZV8/upXv6pUxwoSIAESIIF4E+CEIt7jH9/sazbC+X9+Ge9vKMDb0x/GkJ9txtN39MEFZ56IY864DEPHzcCitRuwvRpzi9K1k3Dp3U9g+g2DMeV/wahLv3gTTz+5zGfQAT07NEKUv5xhumUgTFrVh8ilXnV7zLhx49CiRQt06tQJ06dPd/pQtkutvi9QSg7DpNX15yAlQH1Ow8bWJ52HJEACewhE+ZyFg0wCAoGaqHt4E5zZ7XqMmPY2ij5dipfyh+OKQ97FyBu646ymjXFqpz9g9PTF+Ky4RPBVublmk9546enH8MfhPSo3ltdswXvPvIjDn9qgbj/c8zcNvZvULbeI4oH0EGYm5RwmrYqbS70HHXQQrrvuOqxcuRKvvfaa08mEa62p/sy45JpqrWSbDsKMQQIk4CfACYWfBo9jSsDDruIifLRuHT4qWIWl73xYxiGr9c9w1GdPYvAlZ6D5hQ9gXtEO93y+exfTxkzByHtHYeKMBVhbzBud3EOmRxIgARIgARIggVQS4IQilXTpO6MJeNs3YO2/Z+GxO6/AGdnHolWnSzHwL5+j+dB8zFq0Dp//ewEWvP8RPph+C05+fQzuevFDVP06RTIE27H2hQkYWQRgwUj06X4uml5wB2as/S5ZJ7aRAAmQAAmQAAmQQEYRCNNbMTMKHMWEnEDJCow7qwMGvqeWyz4J5/YfhWd6/Art2zXHMVm+r0XtI3By21ZojJ9gx48PhNt1s+uiSe9p8Hr/gKJlc/HqtHHoM/IBdO/XAEtnDUTrLM73Q/4po3wSIIGIEeDzHhEbUKbjjADPWJyhpKNwEaiBrDYDMPbZBfhgw0rMG38zLu3YsuJkYk9CNbK74tHNqzHjqpNS9KB0HWS3Ph+9R8xC4by7kLPgaUxbsilcOKmWBEiABGJAIGzP0sRgSJhihhDgwnYZMhCUEVUC27F2Yh6a3nEi5q0Zjo7iytvqFbJdcCVGYs2IjjhkDxb1OlmbbdiwYWVv+fH/o6d+UfOXE/kxbcwy+yQisPuNSn625FaZSSJyJiezzD6JCFRm64JbIh9mnVRWaiUbsz3T+yQegd21KhduJBBXAlzYLlLLijAZNwRKvZ1bC72C5Uu9pUsT/a31NuwsrWaobV5Bfg8P2bd6874tsfCl7C/3cvNXezbWfodBi81omzAtZKU0S3qldhsfNjbSols2PmxsXOUj6XUVR/IjtSsmktZ0cpP0utCaznwkvVK+NlptbGziREmrYsKNBKJMIOhcw3ezeFznWsw7ngRKUPzBU7j+N9dh0ofqOYpEWz9ML3wE3bLT+TUpxvp1LTD0liYpur0qUZ6sIwESIAESsCHAqxM2lGgTRwLpPFOKI1/mnKkESlbjqf43YlLRaci792r8+pTDcICpteYROL1eLbPWXbm0CMtmvQe0+yVaZ9cBSouwZOw4LPjlANwl3hrlTgY9kQAJkAAJ2BFQtzhyUmHHilbxIsAJRbzGm9lqAl+vxaK3NiN70DA8eHtn1Ld7REH3ttt/Nx9Dm3Xa/VpYAJ1+Mgm5+fPxau9me64+lOLbxWPR6eKuAE5F3qg70OvCW3BPE/3khF0YWpEACZAACZAACZDA/iTACcX+pM/Y+4/Ajw/FkdlA7YN/hANTMZlQmR3SESMKPYwIyrLmUeh4/xx49wcZsJ4ESIAESIAESIAEMp8AXxub+WNEhakgcEg79B6eh+LnX8Q/P/seXipi0CcJkAAJkAAJkAAJxIAAXxsbg0FmirsJlKx9DoPuewXl61Bv+wwLn1+Aj5CN1l3PRfPDjAt2NU9H3zHX4+xUPkfhcHACX+XmMIYrV2G6DzlMWtX4hEkvtbr6RlX2Q7aVmbioCRNXF/nSBwmYBILONXiFwiTFcnQJbPsKC6dMwRT9VzaZUOkWYdnLU/fW6/YXPsa3u6KDY8KECWIyLmxsfIhCAEh+pHYVw5WNpNdFHBc+JJ0umUh6pXYbrTZ6beK4spE0u4jjwoek04arKxubfCS9Nj5c2Nj4kLSynQTiSoBXKOI68sw7cgTUrwbjx49H//79K5xIm+VEiZs2Ztl1n6KiImRnZ1fS6jqO9ledfLRW7cu/N/2aZb+tPjZtzLK28+9NG7Pst9V6TRuz7O+jj00bs6zt/HvTxiz7bfWxtgnSqu38e91H15llXe/fmzZSWfUNskmmNaiP1mK2J4vjqk+QXlOLWU6HNjNHW63p1KY1mnullW95MqmwHCcCQVco4F98I2ixCr8Nj0kgOgRKvZ2bC7w3nh3v3Tekv5eXl+ddPfAu7y/PvuEVbP4hdGlK31+bBaZc2Nj4kBayUvAlP1K7jQ8bGxdabeK4ykfS6yqO5EdqV0wkrenkJul1oTWd+Uh6pXxttNrY2MSJklbFhBsJRJlA0LkGr1DEaVrJXH0EPOwqeg33XtEH97z+ua9+92HWufdi5tOD0Sn7wEptmVoR+KtBpgqmLhIgARIgARIggVARCDrX4DMUoRpGinVGwPsc/7j9BtzzTnMMfXYxPt26E55Xip1bC/HBaw+j2/oRuPjap7F2Z3Te/2Rzf7ALGxsf6sFGaZP8SO3KvwsbF1pttLjQquJIel3FkfxI7TZa08lN0itxtdFqYyPpsPGhbCS9ruJIfqT2qGlV+XAjgTgS4IQijqPOnIFvVmLu82uQ3XcQhvy2HY7NUm94qoHaWdk4pVNvDL0pF8Uv/gPzP9xGWiRAAiRAAiRAAiRAAkkIcEKRBA6bIkyg1gGoe0DQwnZ1cHC9nwDYgR8idIUiwqPJ1EJIYP369di4cSPUnhsJkAAJkEC4CfAZinCPH9XvKwHvGyx64GrkTmqIsX8fhWua/wS7F8z2sGvzEvzl6ktxO27Fv5/7HZrXTdVS2vsqPnG/oPsaE1uzlgT2H4EHH3wQN910U7mA6dOno1u3buVlHpAACZAACWQmgaBzDV6hyMzxoqpUE/D+h20HHoM2RX9Dn1PbolP/OzFq9GiMGtYPuW1/iYH/KEGb7EK8+sifMXr0aIwe/TCeW7El1apS6t/mXmYXNjY+pPu7FQjJj9Ru48PGxoVWmziu8pH0uooj+QlqX7hwYYXJhGLTvXt3bNq0SR1W2oL8aEOpXdm5sJG4uorjQqvSIul1FUfyI7VHTavKhxsJxJEAr1DEcdSZM7BrGUY3a4PBH9nCOAF501/H5G7H2HZIu5361YDrUOzGbr5b3ywnGhzTRpf1O/Kr0ieRra7TfoPKut6/r0ofrbcqfXSsdPRZvnw5HnvsMR2yfK/e7X/EEUeUl82DVGgzfaqYZp0uB3FN1kfnoH3ocjr6BOk1tZjldGjTHHRsW63p1KY1mnulletQmFRYjhOBoCsUXIciyi8LZm5JCOz0tm4o8goLCy3/vvI2bytJ4m//NwW9G1ors3kfvAsbGx/Se+eVZsmP1G7jw8bGhVabOK7ykfS6iiP5CWp/66231KvTKv19/vnnClOlLciPNpTalZ0LG4mrqzgutCotkl5XcSQ/UnvUtKp8uJFAlAkEnWuoV9twI4EYEqiNrMOPRFYMM2fKJLA/CbRv3x5XX301Jk2aVC5jzJgxOProo8vLPCABEiABEggXAU4owjVeVEsCkSAQplsGwqRVfTjCoPeJJ55A37598dVXX+HUU09FkyZNMv5zHQaufohh0hsmrX7GPCYBEthLgA9l72XBIxIggTQRkB4YTZMMqzBh0qoSCotedaVixYoVoZhMhImrBCFY4gAAIABJREFU/lCH5XMQRraaMfckQAJ7CXBCsZcFj0iABEiABEiABEiABEiABKpIgBOKKgKjOQmQAAmQAAmQAAmQAAmQwF4CfG3sXhY8ih0BD7uKv8THHxVi665EyR+C41qeiMNrc2G7RHSqU6duxwjLfdNh0qrGJEx6qbU636Lkfck2OR+2kgAJ7BuBoNfG8grFvvFkr9ATKEHxB1Pwu581QdNWbdCmTaK/P+PNDSWhz1QnYLPAlAsbGx9aU7K95EdqV75d2STT6SpOmLTa5GyTj8TVVRwbLTY2kl4bH5KN1G7DRNJp68OFFhsfkl4bHy5sbHyoiRo3EiCBygR4haIyE9bEgcAPy/HwuR0xcOXJyBt6NX59ymE4wMy75hE4vUt7HF83PFcouLDd7kHUC2bpITXLut6/N210WS+65bfVx9omqKzr/ftU99F6Ux1H51SdOEFatW//vjpxtB8bH0E2ybQG9QmKq+pT3SdIrxQ3HdpMLrZa06lNazT3SmtYrq6a2lkmARcEgq5QcGG7KK8+wtyCCRRO9/IAL3vQbG9jabBZmFqCFpvROdgsMOXCxsaHtOiW0iz5kdptfNjYuNBqE8dVPpJeV3EkP1K7YiJpTSc3Sa8LrenMR9Ir5Wuj1cbGJk6UtCom3EggygSCzjV4hcLFdI0+wkfgu/kY2qwTnun7JlbfczZ+HL4MKikO/NWgkuX+r+D93akbA7JNDdswcVUEwqQ3TFpT8+miVxIID4Ggcw0+QxGeMaRSlwQOaYe8YT2x+fkX8c/Pvofn0neG+rK5P9iFjY0PG0SSH6ldxXBlI+l1EceFD0mnSyaSXqndRquNXps4rmwkzS7iuPAh6bTh6srGJh9Jr40PFzY2PtTkhxsJkEBlAlwpuzIT1sSBQEkh3l/2NX665jn85ripaN31XDQ/zPg61Dwdfcdcj7Pr1YoDEeZIAiRAAiRAAiRAAvtEwDiD2icf7EQCISSwDV8tewcflSkvwrKXp2KZmUXWT9BjpFnJMgmQAAmQAAmQAAmQgJ8AJxR+GjyOD4FaLXHDu1txQ3wyZqYkQAIkQAIkQAIkkBICfIYiJVjplARIgARIgARIgARIgATiQYBXKOIxzswSQMna5zDovgU4ru89uPmszXhu0AN45bvSYDZ8hiKYDVtIgARIgARIgARIYA8BvjaWH4XYEChZ8TDathqPdrPmYcJ5G/Bw2w4Y+F5xcP5Z12PWxw/i/AbheChbvcqNC9vtHk6bxbvMgQ/qoxfdMu1VOahPIltdl+o+Wm+q47jIJ0ir9u3fpyIf06eKZ9bpcjKt2kbrlcrJ4gT5qGqfIL2ZoM3M0VZrVRmYcWzL2i7RXmnlwnaJyLAuLgSCXhvLhe2ivPoIc9vPBEq8rQWve9OfH+XlnXCrN+/bkoR6SgoXe5OG5Ko313rZeY94iwt3JLSTKoMWm9H9bBaYcmFj40NayEpplvxI7TY+bGxcaLWJ4yofSa+rOJIfqV0xkbSmk5uk14XWdOYj6ZXytdFqY2MTJ0paFRNuJBBlAkHnGrxCEZcpJfNMO4HStRNx4d1v4CevT8FU3Ip5a4aj4yHGY0vFSzD6gnuw6c7HMLxjA3w1/wFcfu8hGD1rIFpnGbZCBoG/Ggj92EwCJEACJEACJEACNgSCzjWqdsZiE4k2JEACZQRqNumNl55+DH8c3iOAyHasnTYaY9rdhFs6HoWaqIPsjgNwZ7sXcNu0tUjydEeAv+TVNos2ubCx8WGzOJTkR2pXNFzYuNBqo8WFVhVH0usqjuRHarfRmk5ukl6Jq41WGxtJh40PZSPpdRVH8iO1R02ryocbCcSRACcUcRx15pwZBEo/wVvPvYsWTRsiq1xRfbTp/Auseu5trHM9oyiPwQMSIAESIAESIAEScEeAEwp3LOmJBKpEoHTd23hu7qFo1ehwVPoizp2Nt9Ztr5I/GpMACZAACZAACZDA/iDAZyj2B3XGjBGB7Vg7MQ9N7zjReIaiFN/NvwPNOq3D8IIp6N2k7h4mQfUysqD7GuWetCABEiABEiABEiABmUDQuUalH0ZlV7QggagQKMX2ovex8D/fwIOHXUVv4OFr2uPgg9vh0vtexNrikqgkWpaHzb3MLmxsfEj3dyvBkh+p3caHjY0LrTZxXOUj6XUVR/IjtSsmktZ0cpP0utCaznwkvVK+NlptbGziREmrYsKNBOJIgFco4jjqzFktc4fNi8age+4QLO8zG+sePBkL+nRG9ydKkNM1G5+//C4OGDoTCx/ohPo1qgMs6AoFoN4CdV7Tv6DVvNkY0fHwPUESX6FQvwjYbMOGDSt7R7r/H2j1znR/OZEf08Yss08iAiBrkIH6ZJjfF7Oc6NNj2pjldPVJFNesk8o2DEwfmd4nEX9dp3LhRgJxJRB0hYLrUET5ZcHMLZhAyWovPzfbw0l9vQnvfOltL8j3cgEPF03xPi7d7C0anuMhq783vXBnsA+rlm1eQX4PD9kJ1qEo03CWN2TeBp+nPfa5+V5B4mUrfLYVD4PeDa2tbN4H78LGxof03nmlWfIjtdv4sLFxodUmjqt8JL2u4kh+pHbFRNKaTm6SXhda05mPpFfK10arjY1NnChpVUy4kUCUCQSda/CWp7hOMeOe98Z1WPJ2ERr16oOr2xyKwsXzMRf10KHL6Ti2RhaOO7kpULwGHxem8MHomo3QoedReHLOSnxXPh7FWF/wBXJ7noUT+e0sp8IDEiABEiABEiCBzCXAW54yd2yoLJUEimagV8PueHP4Iqy5/XgsGNQZXcbWw/BFf8ftZ9Td/SB1n60Yu/wF3NDyx9VQEnzLU5lTLmxXDbbsSgIkQALpJaBuH+UtT+llzmiZRSDolif+BppZ40Q16SJwRBOc2aEePnlxJmb+cwamTlkBnJqLTqcdhC1rX0H+hNeAZmfg9OMP2ndF383H0IYHoWmf54GiB9DpJ0ej88Q1FResy2qHm6beigaTu6BWjUa4fE5jjJ46oMqrZNuItHk40oWNjQ/pmQ6Vj+RHarfxYWPjQqtNHFf5SHpdxZH8SO2KiaQ1ndwkvS60pjMfSa+Ur41WGxubOGHSqnLmRgIkUJlA7cpVrCGBGBCo1Qzd77sZ07rejktzVb6n45rxl6D1gWsw/tJeGPnh2Rg2sw/OPKQac+5DOmJEoYcRAs6a2e1x4+RVuHGyYMhmEiABEiABEiABEshAApxQZOCgUFI6CNRGg3MGY8aKTli88hvUafwznNkiGwfU2IKce57EG03OwVlN6oNfkHSMBWOQAAmQAAmQAAmEmQCfoQjz6FF7tQl427/Au/P+idffXIxVXzdF3zG/w5FvT8eqo7vgwpZHhGpCEXRfY7UhpcCBusUhLPchh0mrGqow6aXWFHy59rgk29SxpWcSiDOBoHONatzPEWeczD0KBLzNi/Dnnr9Em/OvweCREzBl0hps2L4FH/9zDLp3uBr3zluPXVFIdE8ONvcyu7Cx8WGDVfIjtasYrmwkvS7iuPAh6XTJRNIrtdtotdFrE8eVjaTZRRwXPiSdNlxd2djkI+m18eHCxsaHmqhxIwESqEyAVygqM2FNHAh4X2P+rb9Bp0ezMeqVe9Du3wPwiyFNMb3wEVyI13DHRZdjxLbBWLT4FpzxI7tF5fY3NvWrwfjx49G/f/8KJ9JmOZFO08Ysu+5TVFSE7OzsSlpdx9H+qpOP1qp9+femX7Pst9XHpo1Z1nb+vWljlv22Wq9pY5b9ffSxaWOWtZ1/b9qYZb+tPtY2QVq1nX+v++g6s6zr/XvTRiqrvkE2ybQG9dFazPZkcVz1CdJrajHL6dBm5mirNZ3atEZzr7SG5eqqqZ1lEnBBIOgKBRe2i/LqI8wtmMC387wh2fDq9Z/lfVW61Vs6KscD+u1ZyG7P4nK4yBv/wffBPjKsJWixGS3TZoEpFzY2PqSFrJRmyY/UbuPDxsaFVps4rvKR9LqKI/mR2hUTSWs6uUl6XWhNZz6SXilfG602NjZxoqRVMeFGAlEmEHSuwQlFlEeduQUTKJzu5QHeCaOWejs9c0Kx0yuc3s8DcrxRS7cG+8iwlqAveYbJLJMjnUBkkuYwaVXcwqSXWlP3SSfb1LGlZxKIM4Ggcw0+Q+Hi+g99hI/AT7LR5NQsfPXuOhR6hnzvG6z81xIgqxkaN6xrNIa3aHN/sAsbGx82FCU/UruK4cpG0usijgsfkk6XTCS9UruNVhu9NnFc2UiaXcRx4UPSacPVlY1NPpJeGx8ubGx88BkKabTYHlcCnFDEdeTjnvePWuDiAV2BZ0bgj3/9Fz759gcA32Pzp8sxZ9xtuP6hD3HSVb/GmUfyxbFx/6gwfxIgARIgARIggeQEeLaUnA9bI0sgC837jsbMot/j4v6/xqSyPN9G3zOfApCFk3reh8l3n4fscDyPHdlRYmIkQAIkQAIkQAKZT4ATiswfIypMFYHaR6PTXS9gbfclWLR0FT7etAPIykbT5m1x9pkn4dDanE24Rr9t2zY8//zzeO2113DCCSegR48eOOigg1yHoT8SIAESIAESIIE0EuCEIo2wGSqDCJR+iKd/dz/WdByI/7s8B91Oy8kgcdGUoiYTffr0wTPPPFOW4Ntvv43Zs2dj6tSp0UyYWZEACZAACZBATAjwGYqYDDTTNAh8tQpzJ07CU59sx0G8EGHASU3x3XffLZ9M6AhqcrF8+XJd5J4ESIAESIAESCCEBLiwXQgHjZIdENj5IZ7r1xN9N16Dfz7+O/y8QV2EfV6R6QvbqYnDY489VmnwbrjhBpx88smV6nWFufCWWdZ2/r1pY5b9tvrYtNFlveiWtvPvtY2uM8u63r83bcyy31YfmzZmWdupvdZr2phlfx99bNqYZW3n35s2Ztlvq4+1TZBWbeff6z66zizrev/etJHKqm+QTTKtQX20FrM9WRxXfYL0mlrMcjq0mTnaak2nNq3R3CutXNjOpMJynAhwYbs4vzSYuVcmUPKp99pdPb2TAA/I9lp3vdzLy8ur+Hf1g96bm3ZV7puhNUHvhtZybRaYcmET5GPjxo3qBb2V/lR9oi3Ij7aV2pWdCxub9/m7iOPCh8pZ0usqjuRHarfRajOGNnFc2EhcbbTa2LjQasPWVRzJj9QeNa0qH24kEGUCQecavEIRp2klc91LoGQFHm7bAQPfK95bZx5lXY9ZHz+I8xvUMlsyshz4q0EGqV24cCH69euHDz74AM2bNy+7YtG+ffsMUkgpJEACJEACJEACQQSCzjX4DEUQMdZHm0Ctlrjh3a1qpfjgv60Ph2YyYTNYNos2ubBJ5kNNHt5//30MGDCgbJ9sMpHMj8pXandlY7OQlQstLnyonCW9ruJIfqR2G602Y2gTx4WNxNVGq42NC602bF3FkfxI7VHTqvLhRgJxJMC3PMVx1JlzOQGv+GO89fJsvLZoGT7ZvAs16zVCq9N+jpwLOqFlgwPL7XjglsBhhx3m1iG9kQAJkAAJkAAJ7DcCnFDsN/QMvL8JeBsW4O6eebj79c8rSzmpH6a8NBpXNcmq3MYaEiABEiABEiABEiCBcgJ8hqIcBQ9iRcD7GvNv/Q06jQD654/EkN+0RqN6B6Kk+EsU/GsSbrviNsw/Jx/Lnr8GTQ4Ix/ufgu5rjNW4MlkSIAESIAESIIGUEQg61+AzFClDTscZTWDr+5gz5W3U638r7r6mPY6vp14bWwO1s7LR/Lzrcc9dXVH84my89d8dGZ1GVcTZ3MvswsbGh4v70W3iuLBxoVWNk6RFarfxoWwkva7iSH6kdhutNjnbxHFhI3G10Wpj40KrDVtXcSQ/UnvUtKp8uJFAHAnwCkUcR505A0Uz0KthdywctRRrbm6Nivf+7ULRjOvQsHsBRi2dhZtbh+O2J/Wrwfjx4wPfo59s2M130ZvlRH1NG7OcrE/Qe+eT9dFtVYnjoo/Wqn3596YWs+y31cemjVnWdv69aWOW/bZar2ljlv199LFpY5a1nX9v2phlv60+1jZBWrWdf6/76DqzrOv9e9NGKqu+QTbJtAb10VrM9mRxXPUJ0mtqMcvp0GbmaKs1ndq0RnOvtHIdCpMKy3EiEHSFQr3hpnwLerdsuQEPSCAqBLa/441qmeXh3Ie95dtKK2ZVut6bdW1LD1n9vemFOyu2ZXBJ+v7avA/ehY2NDxfv9LeJ48LGhVb1sZG0SO02PpSNpNdVHMmP1G6j1SZnmzgubCSuNlptbFxotWHrKo7kR2qPmlaVDzcSiDKBoHONij/MxmmKxVzjTeDAU/Cb/+uB+/NuQ4+rv8WdV/8CJzc4CLu+/RTv/eMxDBn/EZoN/TNyjuRXJN4fFGZPAiRAAiRAAiQgEeDZkkSI7REl8COccNm9mPnVD+g7+E7kPedP8xjkDHocj96Rg/rheB7bLz4Ux2G6ZSBMWtXgh0kvtabu60q2qWNLzyRAApUJ8KHsykxYExcCtY/COf83HnNen4M5r72E6dOn4+/T/4aHxj2Biff3wClZ4VghO4zDZfOAa6bkFSatilmY9FJr6j7lZJs6tvRMAiRQmQAnFJWZsCYmBLzilXjyD7/GaZcvQO2256Fbt264oNkuvHD9L3Fa1/sxryg6b3iKyZAyTRIgARIgARIggf1AgBOK/QCdITOAgPc1Xh9+LfImbEXX685Gozq7722qeWwu7p88FG3fuRMXX/s01u70MkDs/pGwbds2rF27tuxPHXMjARIgARIgARIggYQE/E+iBz257bfhMQlEgsC387wh2fDqXTPd+8J4yZPnbfWWj+3qAT28/IJtoUnX5fd348aNXsuWLdVsquyvRYsW3ueff+6Mhc0bc5wFq6ajMGlVqYZJL7VW88OZpDvZJoHDJhIggX0mEHSuwSsUCadZrIw8ge+34MsioP4px+GISg9e18URRx8NYAM2bd0VGRQ2C0xpm3HjxmHFihXlua9atQq33XZbWVnblDcaB1K7YR5YlPxI7cqxK5tAkXsaXMRx4UPS6ZKJpFdqt9Fqo9cmjisbSbOLOC58SDptuLqysclH0mvjw4WNjY8wPZsicWU7CbgkwIXtXNKkr/AQ2LEUo39+LgYfMRofvPx7nHKAb1bhfYk5N/0aXR7/OaavHYdu2eF4GZrLhe2WLVuGxx9/vNJ4qoXz9GYuiGWWtZ1/r22CFrLy2+pj3SeorOv9e5d9tFa/f33sMo72mWhflThab1X66Jjp7hOkVevx71OhzfSp4pl1upxMq7bReqVysjhBPqraJ0hvJmgzc7TVWlUGZhzbsrZLtFdaw/QGrUQ5sI4EqkOAC9vt88Uddowmge+9gvzLvSxke22vHuE989rb3tKlS7133nzRmzDkIu8EZHnNhr7mbax0O1Tm0gi6DKkV2ywwpW3uuuuu8tud9G1Pubm5Za60jfZr7qV2ZW9zO4bkR2pXcVzYuNBqo8WFVhu2ruJIfqR2G63p5Cbp5edAjUblTeImtSuPElsbHy5sbHxIWisTYg0JRItA0LkGV8qO1jgzm6oQ2Lnee2PUFd5Je54T0CfOwDFezqBnvQ+27qqKt2rYbvDmDWntO4HP9nLzV3slVfQY9CWvopsyc/W8RPPmzX2a4L333nv74iphnzD9oxwmrQp2mPRSa8Kvh5NKsnWCkU5IgAQMAkHnGnyGojrXfdg33ATUOhQ3T8HKwtX497w961DM/heWr12GV8f0TNs6FKVfvImnn1zmY9kBPTs0gusvp839wdrm6KOPxptvvok5c+aUrc+xceNGtGrVqkyjtvEJrnAotVcwTlKQ/EjtyrUrmyQyy5pcxHHhQ9LpkomkV2q30Wqj1yaOKxtJs4s4LnxIOm24urKxyUfSa+PDhY2NDz5DIY0W2+NKIBw3h8d1dJh3GgjURN3sZvh5drM0xEoUYgvee+ZFHP7UBngdD09ksN/q6tevj9zc3P0Wn4FJgARIgARIgATCQYATinCME1U6JuBt/w7fIQs/qbvnOoD3PxStWoJl677FAQ1Pxc/bNMahtX0PajuOX+7uu3cxbcwUjGx6JJpuOQ8dcs9BkyzX1ybKo/GABEiABEiABEiABNwT8N8aFXRflN+GxyQQagLquYmxfb22WSd4edM/251KaZH3xh/P87LKn6XI8k66epL3fsqfodjmFeT3qPCcAnJu9aYXfLtPiMP0/eX93fs0xFadyNYKU5WNwsRVJRcmvdRa5Y8jO5DAfiMQdK7Bn0Ldz9HoMVMJeN9g0ch+6Drwcbzz0+Zo0qAugBJsev1R9Lv7X8jueS8mvzAV44d0QumkG3HNqLewWZ3up2yriya9p8HzdqBw6SzkD8kFFjyA7v3ysay41HlUm/uDXdjY+LBJTvIjtasYrmwkvS7iuPAh6XTJRNIrtdtotdFrE8eVjaTZRRwXPiSdNlxd2djkI+m18eHCxsaHpJXtJBBXArzlKa4jH8O8vc/nYdwDL+OAvMlY8+gVaJpVC/C+wNvPz8SarEsw5f6bcVXjusBF7VDv6/Nx6bhZWDKwAzrXr5ViWnWQ3fp89G6di/M6P4DLOz2NaUuuQusMe6YixRDongRIgARIgARIIKQEuLBdSAeOsqtKoASb5gzFiV0W4HfzZmOEPlnfNAeDTuyC/C7P4oOne+LYsscmduC/T/ZB47wvMGrpLNzcOquqwaph/w3mD+2CKzESa0Z0xCF7PKmFZGy2YcOGlS265H8TiVqEyV9O5Me0Mcvsk4gAyBpkoD4Z5vfFLCf69Jg2ZjldfRLFNeuksg0D00em90nEX9epXLiRQFwJcGG7/Xa3GQNnBoGdXuH0fh6Q441aunWPpFKv+M0/esfAXPchkW26slDPVVyeknUobBZtcmFj48PmnmnJj9SuRsyFjQutNlpcaFVxJL2u4kh+pHYbrenkJumVuNpotbGRdNj4UDaSXldxJD9Se9S0qny4kUCUCQQ9Q8ErFHGdYsYu71J8N/8ONOv0Cn47ew4e6vxTAMVY8fClaDXwB4xa+gJubq2vB2zCv4adj3PubYwpH+fjquMPTCOtbzD/tseBW4ag4yFVe8Qp8FeDNKpnKBIgARIgARIggegSCDrXqNoZS3T5MLPIE6iJg089CxfVW4H8cRMx+z+f4vP3X8YT498AzuyMc08+eA+BEhS/PwOPPrIIOOvnOO2oOqkjU1qEZS++gmVFP+yOUVqEJQ+OwYJfXoWcKk4mbETaPHDowsbGh3QLlspH8iO12/iwsXGh1SaOq3wkva7iSH6kdsVE0ppObpJeF1rTmY+kV8rXRquNjU2cKGlVTLiRQBwJcEIRx1GPac41jsjBjWP7Ifvl23Be80Y4tsWlGLv+bPzxT1fgZz+qgdLP/4k/9f81WrX4HZ7b2RX3jb4Mp9Wxe3Zh35CW4tvFY9Gm4YGoUaMFeo15E8Vdb8E9HY9yvkr2vuljLxIgARIgARIgARKQCfAtTzIjWkSGQBaaXDkSc44+C1NffAPrcCI6XtoLl51xJNS0oeTrFXj8sbn4qm1fjB19F/5w5uFl9SlLv+ZR6Hj/HHj3pywCHZMACZAACZAACZBAygnwGYqUI2aAsBDwij/Hqs9KcUzjY1BPr6AdFvEAgu5rDFEKlEoCJEACJEACJJDBBILONXjLUwYPGqWll0CNrGNw2inHhXIyYUPK5l5mFzY2PqR7plU+kh+p3caHjY0LrTZxXOUj6XUVR/IjtSsmktZ0cpP0utCaznwkvVK+NlptbGziREmrYsKNBOJIgFco4jjqzDmSBNSvBuPHj0f//v0rnIyb5UTJmzZm2XWfoqIiZGdnV9LqOo72V518tFbty783/Zplv60+Nm3Msrbz700bs+y31XpNG7Ps76OPTRuzrO38e9PGLPtt9bG2CdKq7fx73UfXmWVd79+bNlJZ9Q2ySaY1qI/WYrYni+OqT5BeU4tZToc2M0dbrenUpjWae6WV61CYVFiOE4GgKxTwvys36N2yfhsekwAJZCYB6ftr8z54FzY2PqR35CvCkh+p3caHjY0LrTZxXOUj6XUVR/IjtSsmktZ0cpP0utCaznwkvVK+NlptbGziREmrYsKNBKJMIOhcg7c8xWlayVxJgARIgARIgARIgARIwDEBTigcA6U7EiABEiABEiABEiABEogTAU4o4jTazJUESIAESIAESIAESIAEHBPghMIxULojARIgARIgARIgARIggTgR4IQiTqPNXEmABEiABEiABEiABEjAMQG+NtYxULojgf1FIPBVbvtLUJK46r3zYXn1Ypi0KuRh0kutSb4k1Wwi22oCZHcSIIGEBILONXiFIiEuVpJA9AjYLDDlwsbGhw1dyY/UrmK4spH0uojjwoek0yUTSa/UbqPVRq9NHFc2kmYXcVz4kHTacHVlY5OPpNfGhwsbGx9qosaNBEigMgFeoajMhDUkEEoCXNhu77CZi3WZ5b2We49MG13Wi27ttdx7pG10jVnW9f69aWOW/bb62LQxy9pO7bVe08Ys+/voY9PGLGs7/960Mct+W32sbYK0ajv/XvfRdWZZ1/v3po1UVn2DbJJpDeqjtZjtyeK46hOk19RiltOhzczRVms6tWmN5l5pDcvVVVM7yyTggkDQFQoubBfl1UeYW6wIBC02oyHYLDDlwsbGh7SQldIs+ZHabXzY2LjQahPHVT6SXldxJD9Su2IiaU0nN0mvC63pzEfSK+Vro9XGxiZOlLQqJtxIIMoEgs41eIXCxXSNPkggAwgE/mqQAdpMCby/2yTirky27lj6PYWJq9IdJr1h0ur/TPCYBOJIIOhcg89QxPHTwJxjScDm/mAXNjY+bAZA8iO1qxiubCS9LuK48CHpdMlE0iu122i10WsTx5WNpNlFHBc+JJ02XF3Z2OQj6bXx4cLGxoea/HAjARKoTIATispMWEMCJEACJEACJEACJEACJGBJgBMKS1A0IwESIAESIAESIAESIAESqEyAE4rKTFhDAiSZ/SbZAAAgAElEQVRAAiRAAiRAAiRAAiRgSYATCktQNCMBEiABEiABEiABEiABEqhMgBOKykxYQwIkQAIkQAIkQAIkQAIkYEmAr421BEUzEsh0AlzYbu8ImYt1meW9lnuPTBtd1otu7bXce6RtdI1Z1vX+vWljlv22+ti0McvaTu21XtPGLPv76GPTxixrO//etDHLflt9rG2CtGo7/1730XVmWdf796aNVFZ9g2ySaQ3qo7WY7cniuOoTpNfUYpbToc3M0VZrOrVpjeZeaeXCdiYVluNEIOi1sVzYLsqrjzC3WBEIWmxGQ7BZYMqFjY0PaSErpVnyI7Xb+LCxcaHVJo6rfCS9ruJIfqR2xUTSmk5ukl4XWtOZj6RXytdGq42NTZwoaVVMuJFAlAkEnWvwCkWcppXMNdIEAn81iHTWTI4ESIAESIAESCBdBILONfgMRbpGgHH+v737AW6juvMA/pXChEAdw1G4RkpaPMRnwzUGilPToZmi2GCTo/xpQgKlxE7tgTANEJomVp0mHEfSBP85Z1LIQWFs8oemTYh9yaV3YAcblwsw9sgcxcw5cg1nWkdyJ2mIbRWSTKV3s6tdabXWvziytZK/ngnSSrvv/d7nPYn9ad/uUiDJAvHctCkR68RTRjw3h4pVTqz3Je5ErJOIWOOJJRGxSvXEijdR9cQqJ9b78cQ6mW6x4o3lGk+s8awTK454ypDWiRVvouqJVU6s99MtVqk9/KPAVBRgQjEVe51tpgAFKEABClCAAhSgQIIEmFAkCJLFUIACFKAABShAAQpQYCoK8ByKqdjrbHNaCkSa15iWjWWjKEABClCAAhSYdIFI+xo8QjHpXcEKKZAcgXjmMidinXjKiDW/WxKKVU6s9+MpI551EhFrPPUkqj2x4k1UPbHKifW+ZBIr1sl0ixVvImKdzPbEijdWe+OJNZ514qknnWKVTPhHgakowCMUU7HX2ea0FJB+NXjhhRciXkc/WqP116LXL4fbVr+OfjnaNpGuOx9tG/W986knEduosaplaR/1seiXteuqz/Xr6JfV9bSP+nX0y9p11Xj16+iXtduoz/Xr6JfV9bSP+nX0y9p11efqOpFiVdfTPqrbqK/pl9XXtY/6dWItS9tGWidarJG2UWPRvx+tnkRtEylefSz65cmITd/GeGOdzNjUGPWPUqy8D4VehctTSSDSEQrehyKdLxbMtk0pgUjXhlYR4rkefCLWiaeMWNedl2KOVU6s9+MpI551EhFrPPUkqj2x4k1UPbHKifW+ZBIr1sl0ixVvImKdzPbEijdWe+OJNZ514qknnWKVTPhHgXQWiLSvwSlPUymtZFspQAEKUIACFKAABSiQYAEmFAkGZXEUoAAFKEABClCAAhSYSgJMKKZSb7OtFKAABShAAQpQgAIUSLAAE4oEg7I4ClCAAhSgAAUoQAEKTCUBJhRTqbfZVgpQgAIUoAAFKEABCiRYgAlFgkFZHAUoQAEKUIACFKAABaaSABOKqdTbbCsFKEABClCAAhSgAAUSLMAb2yUYlMVRYCIEpBvJ8I8CFKAABYwhIIQwRiCMggKTLBDpxnYXTXIcrI4CFBiHQDz/84r0IR9HdRO+CWOdOGLa0lYS4DiY2HEwcaWzZAqkpgCnPKVmvzFqClCAAhSgAAUoQAEKGEKACYUhuoFBUIACFKAABShAAQpQIDUFmFCkZr8xagpQgAIUoAAFKEABChhCgAmFIbqBQVCAAhSgAAUoQAEKUCA1BZhQpGa/Meo0FvC5u7DLXiKfVGkt24Eu97k0bi2bRgEKUIACFKBAqgswoUj1HmT86SXg6UL9g8/AWdIIrziL7rKTsD+4A90eX3q1k62hAAUoQAEKUCBtBJhQpE1XsiGpL3AGffvrUF+wBj8tnA0zpsNSuAobCw5g/f4+MKVI/R5mCyhAAQpQgALpKMCEIh17lW1KTQHfAI7uex95uVZkBFpwBeaX3Iqefe+inxlFQIVPKEABClCAAhQwjgATCuP0BSOZ4gK+/nexr/Vy3Jh1JcZ8MFvfwNH+M1GF4rn5XdQCJvFNxjpx2LSlrSTAccBxMHECLJkCYwXG7LeMXYWvUIACEy/gg2ewHz24BrlzgscnJr5e1kABClCAAhSgAAUuTIAJxYX5cWsKUIACFKAABShAAQpMaQEmFFO6+9l44wiYkTEnG3n4BM5Bj3HCYiQUoAAFKEABClAghgATihhAfJsCkyVgzr4F9xdfrKvuHIYG+uEuvgMLsmfo3uMiBShAAQpQgAIUSL4AE4rk9wEjoIBfwJyFBffPxp6WDzESMPFg0Hkcxfffgmx+WgMqfEIBClCAAhSggHEEuItinL5gJFNeYAZylq3Fmq56PNt+HD6cg7t9BzZ13Ycty3LGXvnJ8F4+ePo60HygDmXZ69E+Eu66t+fg7t4D+0IrTKY8lG17B+5wq010Wz19OFJXBqvJBJPJioX2PegOd4dynxvdu+xYKK1nLcO2LndS7g/ic7+DbWV58t3UTQvXo7kvmIIGqQxiGwwI8H2K5or5KGk8NsbNOHeIP4l2+3y/rTIexsRrkHEQpJX6+r9wQBnDVnu75kcJI4wDH0ba1yufL+kzpv23DI19wSvYGWMcSN9dLahTP2PSd1NdC/r0Nxg13DgIjgg+o8BkCzChmGxx1keBaAIZBViztwpX7boD00xZeLDlGtTtXYX8jNT7qPr6duKBf3kFTU+sw+7PwzXaB0/3Djy49hOU7B2A8L6BshNb8WB9Fyb1LBLfpzj0cjtw93NwCQGv6zXcPVSD+WPuUH4a3fU/wlrnbdjrFfB2P4QT9h+hvvt0uMZN3Gue3+Ng6zQ88EoPhNeFzruP4zHbs7qEzSC2IQrncPxgLR5rdIW8Ki8Y6A7xvuNv41d7ujUxLsD9C7I0Cb1BxoEaoc+Nrm0PI/+ufRjI+iE6Rr1wVRciU37fKOPgFBwtrXCrMWsftdM5DTIOfMcPYrVtLXpu/TVGhfB/N52qh21ThyZRM9g40JryOQWSISA0f/5LV2te4FMKUIACFyTwhXA2LBWwVIm2YW9oSd5e0VB8i6hsOxF8fbhNVFqWigbnF8HXJviZt/+oeGvwbEgtXmeDKEZ+SGzyayHt8IrhtiphKW4QTl3TQgpL6MIXov+t98Sgtj7ZLDRWYRDbYNO9YtSxXZSuWSNKLRZR3NArgk3wjxFLZZsYDmxwQrRV3qJbL/DmBD75TDhqS0P6XV+ZMcaBGpUU753CUvq86HSFjmF5DaOMg+G3RO3GVuEKdroQQvr8bBR3BsaCUcZB+O8sfb/rl/3tmezvA3Uc8JECkycQKVdIvZ89k5F1sU4KUCDhAv4b+c0Ove9G5vUoWX4c+44OjJkSk/AAlALNc78N2+zpIcWbZ2XhRov2pTPoP/oGWvOyMSdwtMiMzPm3YXlP7JsOaku6sOczMNf2LczWfHP7hgbwQe4PsKzgikDRRrENBORx4MVfAE+suQOzAi8qT4x0h/iR97G/fjdqNtWisblj7BQXGGUcSHbS0YdXsLY+C89veRgFltAxLK8h3ywz+Z8x31+/iu9VFsGiGbfw9eFA9cdYrB79Mcw4mI5ZWdmwuD/E+39QpxL67xP08fLbMD9TaoSRxoH+A8VlCiRHQPvxTk4ErJUCFJiCAsr/kC3ZyJql3xE6i9Z976I/GedSaHvi0m/h5lz/xBHIOztHYbkxC7PGfGsendQEKBjiCPraG1H1czfsIdPijGZ7Gt0v7gWeKEX+zGnB8JVn/uRn/HeIH1PguF84g74DL6JGmpfTUYOKJQuRe9eG0PNTjDQOfH3Yv34HsPwG+H79sP/8BGsZ6o70KVMGjTMOzJa5mBtIxP0dJPV785wlKFGuXmeccWBGZsG9WGN7H+vu+gkaj43A525DXcvXsPfJBf6pZEYaB+Me79yQAokVGPO/xsQWz9IoQAEKhBOQrl71CRDyi3+49ZLxmg8jjg588GgpitUjFx4XnD1AXq4VhriP+Ug77NbLkFtUgZrdb6PlvU80550YyVb6FX03foEH8Wj+5WE600h3iJ+BnPL9EOIsXI7DaKgsBjq2YsnKBnSrJ+MaaBz4d8DnouAfb8C31+yCSwyjd/NFqC9egxfl83qMNA70XS8lO134+g++oxxtM9I4ACCfy/Ya6m/vQsV1l2Haij/hoa2PBo8CGWgc6GW5TIFkCTChSJY866UABYwp4HHgpV1XYsuj842RPIRTyixEtUs6gbwTOyuBmiVLsbr500mbJhYupLCveRx4uelqbFlTYFzLMYFPhyX/uyivPgxX29OwdfwK+7tOjVkruS8oO+CWfJR8b74ylSgT165Yh83F72Pd+mb0JfsIXzQg6Rf+5r9HyfzgNL1oqyfjPfPML+PqvDLUSoll6was3HAkOVegS0bjWScFxiHAhGIcaNyEAhS4UIEMzMm9Bujpx6D66++FFpmQ7U+j++XXcUXVitAra2VYkZsH9DhdmiMBCanwggoxWwpQtnU7Gor/gtc7P1ZiM4qtZNmOq1ctCjnnI7TBRr5D/HRYCldhYyWC94YxzDhQbngZignI97JZoHyuLjXoZwyQpzt93aacjyA1wmDjwPMRGle/Anz/CayVE8uVwNay4BXoDDMO9AOAyxRIngATiuTZs2YKTGGBGchecAeK9QK+kxj44HSSbuR3DscP/QYfLfoxyq9Vzp1Q41N31NRl5VE+Idqtv6yobqWJXhwTm0FspROca6uwZM7FwfsOXFaEGrcbrRXXYZrJf/8BY98hXkrOcoNT3cZY+zt38seBeuJwPwaGzo0dYfJUwksN+BmTQlWmO5Vcr1za1h++ccbBGfTtfwYVg7mYJ5/oLiWWG3HYsQ5YV4f90j0zDDMOxnY9X6FAsgSYUCRLnvVSYIoLyDsQeb9Di0MznUSem3yT7rr/kwEl3USwEftn3oXlgWRiBMd27UGHfEM+/0563p434QjcoE+ZdqK9jv5khDqmDmmu/DAW3Tw3MK3IELbKtCwhXcdf/TfchkqLBcUNvfCK/SjPmaHsnBn1DvEeDPbnwX6femNJo4wD5Qpjll6889GfNVPdpLFwPJCQG2Ic6MdrpOlO8k66EcaBcu5JSNxmZPzDDSgIXPnNKOMgJEguUCC5Ator10a6tqx2HT6nAAUoEL9A+Gu6+7eX7k1QL2y2p0WbdA1976Boq7pT2Go7xWj8FSRgzWHhbKoSNkBI34Eh/0LuMSFd8/9eYavyX0/f62oVVbZ7Ra3jswTEEGcR3gHRVJ4vbJW7hUO+78BZ4Wp7WhSX7hS9o9qL/BvFVtcu+Z4Z+vtQCCFGO0Wt7U5R1TYovMLfJputXjhC2qQrK9GLXpdwHPxPxVW6TYJLdNZXiY1yTNrKDDAO5HDOisGmVcJiKRcNvdIdPM4KV+fzorRY62a8cSDdv+HOkHuOaGyNMA6EYoZ5orShR/kuGha9DeVibnmT5h4wRhkHGj8+pcAkCETKFaRfjgJ/kVYKrMAnFKAABeIVkHcetTvoYXYk1Z0gi7Resajc2am7+VW8lY13PWWnTJ9IyMth4pV3MkuFRXrfVil2OlyaG7SNN4bz2c6/YyPXL8VgKRW1TY4IZsoOZtJsw7QrUkIh778fFfWl8wRg0SRMYcqYqJfkhLZYSSjnidLa34g2Z/BWeyHVJn0cqNEMC2drvSiV+ziSm5HGgfQDQ2XUJNzrSvI4kGnPCpdjt6i0WTTj4Q3h1Ce4hhkH6njgIwUmXiBSrmCSqlaPkZhMJvnQtLrMRwpQgAIUoAAFKEABClCAApJApFyB51BwfFCAAhSgAAUoQAEKUIAC4xZgQjFuOm5IAQpQgAIUoAAFKEABCjCh4BigAAUoQAEKUIACFKAABcYtwIRi3HTckAIUoAAFKEABClCAAhRgQsExQAEKUIACFKAABShAAQqMW4AJxbjpuCEFKEABClCAAhSgAAUowISCY4ACFKAABShAAQpQgAIUGLcAE4px03FDClCAAhSgAAUoQAEKUIAJBccABShAAQpQgAIUoAAFKDBuASYU46bjhhSggKEEPH1oP1CHMqtJvpOndDdP00I7Gps70OfxGSrU8w/mDPoal8FkXY/2EQO3xdOHI3U/x66+M/4m+o6hscQKq70dI+ff6EncwgdPXwvq1u9Fn8Lr62tEiWk+7O0nJzCOsfUmrDJ9X0Qt+DS6655EXffpqGtFfdPThbqSJ9F8/FzU1fgmBSiQngJMKNKzX9kqCkwtAd+naF69BA8dvgSrus9CCAEhvBj9ZSFOHXoctlV7cCylk4oZyCnfD+HagsJMo35t+zDStRNl634Pb8qNvlPoavgZ1nUriRAAc045WoQD1YVXTmBrxtabmMrOpy98GGmvwf2938H3v3H5+KvPmI9H7Jei8qnf4riBc97xN5BbUoAC0QSM+n+maDHzPQpQgAIaAR9GOn6Jxxqvw+afVaDAMl15z4yMnBKs+dmPkbf7ObzSdUqzDZ9SgAKygMeBlzZ9ivX2f8LsC9ojMCPTVor1g/+KX3RM5FEd9hsFKGBEgQv6+jBigxgTBSgw1QTOYWigH+4IzQ77S7PPje5ddiyUpkWZTLCWbcORPu2knBH0tTfCvtCqTJ8qgb2xXTN16iTa7fPlKVUv15XBKpUTmI50Du7uPVG2BSBNz2oM1m8y6cvXN0Y35WmkHXarFSUvH0FX1HboylG3qzuAFjVukxUL7XvQ7T6JviPbAlPGrGU70OXWTF+RzJq1U8qk7RrRLrtJv3JvwLVFW+HGa6jIvSR0mtPQ+3g9UF84b8Dn7sIue4nirS1baoNU/npYTd9DXXMz6srygv2yqwvuEWmqldIPpjyUbXsHbs2v5D53N5oD70t9rvWW+vIOFNV0A60VyJ3mn+YUbspTaIx5KKtr0YwJafpSOxoDbVCm3LX3waPrBv9i+Hrl93TjU566F1JOtLpi9EVILOdwvHU36qcXYUH2jJB3xrVgvgYlK7+BPdX/EZg6Nq5yuBEFKJB6AkLzB0gzBfhHAQpQILUEvINNotwCAUupqH3toGhzDkdugHdANJXPE7BViSZ5vWHR21AuLJZVomnwrBBCXS4V9Z0u4RVCeF1HRX2ptE29cIxKr5wQbZX5ApgnSht6xKg4K1zOAflxsGmVsFiC24rRHtFQOk9YypvEoLSp+Ew4au8UltKdolcuSyq/VVTZ5orihl65vrHBfyGcDUsFLFWibdgrxHCbqJTai2JR2dQrRqUNvIOirapYE+PYUsJt56/b4m9L/VHhkmKMGPPzotMlGYWrzyuG26qEBUtFg/MLZZ1e0VAslR09Tn//zROlav2BPlD7RC0bmn47K1xtTwsb/P3u7yuvGO3dKUot80R504DfcrRT1NryNWUHvW21nX47tT+LG4RT7iMhvM4GUYx8Udl2QmmuNMYswlbZJJxSv+mN1Hrk8SBtosan8fCraP6rjCNNvUIZn5ZS1TpKmyLWpXpFq1vqQ6l/9OPuj6KpdK6Q9gf84+0z4Wyqkp39Y9grRp1viFrp86Dta6VVfrcY9WoE+JQCFEgtgUi5QkgGEWml1Goqo6UABaaegHYnR9rRlv5JO38viaY2p7LT6FfR7yjKr8o76Bb/Dr38XLNDqmJq11F3QNUd/LDrqC9KOYqUACg7p2F34jTrhn0aPqGwVLaJYOoUx06kHAdE6HZhdmpFuPqCO9dqiKE7j2Hql9tq0dWn7qyrO53h6pdq8L/uj1UtWxdDSJ8oUYXUqWyn7ye1fYEd+bExhI4TnYdclRqTvx2hFqpQrEd9vaFlBrcObUfsuiKVEyxRfqYdlyFvqfavifcaNoqNbb2is9YmMLdWdP6xVWys3C162raKuZqEK7B5uD4JvMknFKBAqgtEyhU45Sn1DioxYgpQYIyA/3yJtbt64HU5cLCpCa/V3g5nzSNYUpSLnLJdyknZZ9B/9A204hrkzskIlpJZiGqXCy3lOfA43sQe93X49ryvIOQLMsOK3Dygx+mKMIXFhxF5WytuzLoyzLYu7Gn5ECPmWbjh9mvRuuEVHOxqR3PIVJZgSOf/zIyMOdnIwydwDoafZHP+ZSpbyD4OVBecQntzM5qlf412FOVWoHXchSpxjnyIlj3dsNyYhVmh4JiTew3ce96EY9xXtjIjs3ALXK7NKBh62x938wE02u9BbsVr8UfuG8DRfUeBvGzMyVCDVMoW+1GeMwNm6zzcbjuKDQ2/RVf7b5WpYPFX4V/zFBwtrXBbspE1Sz0XSHpH6Vt3K1ocpxJUF+AbGsAHbt1nQapO7hMXcofexL9jGSoLv4TBnj/Bcs8l+P0LH+Oejd/H1zCCz/WfI2nbmJ8Tf0v5XwpQIL0E1G/G9GoVW0MBCkxZAbMlH/csXoz71u6CSwzD2VSF3N1VWL2/D5pp9RF8op+PIW3k/mAAQ1EL6kZN0VXKHH/lErbTrkNFq3qWx+XIX7sXzldvxummajnhmSmfx6CejxAhtIS9bEFerhWadCqOkkdwrLEC1pm5KHquE/LFRS9fhBccL6E4QQmMu6YIlynntMiX/DVdEmanP8zOb6zoPR+hsewGzMx9EM91/kXeOb+8pAaOhqVATz8GE3X1r4wCrD3cgVdv/gxNmx5BUe5lunM1YgWqed+9FUWXTQsZQ9O0yVtC6vLBM9iPHk216lN/ouFGx1ABKlbMQ8bIH9B55GO461/H8JIHkJ9x2p/4FN+RmHMv1Ir5SAEKpKwAE4qU7ToGTgEKyAJR73WQiZx7S7G8GGjd9y76oyYCUmnTMSsrG5YotGN/SdevvBQNzi+US9dKl68N/nNVFyJTXj0TOYWLUV7dAiHOwuV4HncObUOR7VlD3mfC13cAqyu6sKhpAN63qlG+eDEWL/4OrMP/F3aHVC8Se9mC4oZeeDVWAbcLulTuGfTtfwYVR25F0+AA3qp+GIul2AtnY9j5SeywzneNjBwULn4Y1W+5ILwuOJpux9CGItg2dZzffTiKG+D0BsdNwEJ7GdsLrks9oqVvpHoULx+V9ruRY1aPvFlgq30Kj+ZfHjiCUXz/LcjmXoQekMsUmJIC/CqYkt3ORlMgjQTMWVhw/4IYU2MuhX/nZwayF9wx9ld1JSkxlezE0Dduw3JLL9756M+hRzQ8Ljh7EOXXfTMy50fatgt1C7NR0ngstEy5G6bDkn8vHim7CxZ3PwaGNFdWMkQ3qb9k66eB/Q2jp7VXxhpnsJnXo2S5FT3v/G/IlZkA6WZr34WppPECrhjkwaCUOOTdhHmBywlLF436K06fPBt/wMoY0x/R8F8Jyhq+X80W5C9egbLl+XEc1VJDuQLzS4ph6XkfH2mvsAUfPN3bsNC0DI3qTQPVTaTHcdUFmGdl4UaLfoqcYlb8I1TYpHtwqEftFmD53dfLR7b8RzDCTO2TYon5OdEGzucUoEC6CDChSJeeZDsoMGUFZiBn2VNouP0wHnq8Hs3d7sBOu3yZz6rVqDi3CluW5cjnNZizS2Cv+jJqNu1Au7zTdg7ujn3Y03oTarcsRs7fzccPNxfg9ceewvYupSxp2szjq1GTuy5QTljuzAV44vlbddseQ/OmjVgHJQY5ecnGQntz8JKjnj682dINlD+AkkRcvjNscON9UU2UjmLPzv9WdvrPwd31MtY/tkNzuV7tL94+fO75PNAP0Wu+ErYn1mPR6/+M9dvVy72OoK+5BmvXwd8n4/4/lbKD3roPOzuO++PxudG1/Sk81viRJqwM+XwN/wtn4PH8TfOe9HQGshc9jKrc/dj0bJvfwHccHTv3odXmHxOQ76xdAnvzMeUcG+nSrm+jpQsoX1kU4Zd8fb0+ZNpW4vlFv8Nj619WLtsrlXMQm9buAGrXYlnODPgTmWh1xdkX8vkOp/HBwMlgXynntMy9/QZcI7mr548EpjcpRzAsRbjZ+zoadXfX9icbC3D/gqzQ84h0olykAAXSS2DcX9PpxcDWUIACKS2QMQ/lr7Ti8OLL0Lk2H9OUufjT8nfgxDer4Dy8GvnqybTm2SjcvBOOFZ9jk/VimEwXw7rpc6xwvIw10nQOZOLa8m3oePVWDNmVsmb+BM5bt4eWExZsOmYv3qLbdikOXbUSjr2r/DGYr8WKnfvw+FWHYJupzJOf6V/n8ObvXuDNxcIGdeEvZi7Ak4erUfBeGazTpPNC8vHTt69E2cHXUKmZH+ZP1oZRkfslfGnJb+KYYuYPzTz7Xmzv2I5bh55Ryr8MtkNX4PFAn4y3CdLN1h7H4Z034r2iOf5xMeenePurZTjYVKmZ2qYkDOc2IHfaNViyvz+4g61Ubbbcjs1792KFt84f47RvYpP3oUC/mnMewk7HSlx1aClmyuNvGmbaDuGqx3+JzfdeHWHnOky95quxeHsTXr31j7DL41MtZx/2rimQjxDEU1dcfWHOwX32ZejRTAf0JwT5WHLT1bhIartyxCE4velvGD11QjqZCJ2j38Qy+TOj9o+SbASSD/V1PlKAAukuYJIuX6U2UjoRTrOovsxHClCAAhSgAAXSUcDThbq7tgJ1r2BtSHIwjsZKR98WVcBpP4TqQmm6FP8oQIF0E4iUK/AIRbr1NNtDAQpQgAIUiFcgYz4e2XgdXvy3dhyPedGCaIX6MNKxG1vm/ARPyOdeRFuX71GAAukmwIQi3XqU7aEABShAAQrELSBNC1uFl77Sjl//j3xB4Li3DFnR48BL1Z+j5hmDTtsLCZYLFKBAogU45SnRoiyPAhSgAAUoQAEKUIACaSjAKU9p2KlsEgUoQAEKUIACFKAABZItwClPye4B1k8BClCAAhSgAAUoQIEUFmBCkcKdx9ApQAEKUIACFKAABSiQbAEmFMnuAdZPAQpQgAIUoAAFKECBFBZgQpHCncfQKUABClCAAhSgAAUokGwBJhTJ7gHWTwEKUIACFKAABShAgRQWYEKRwp3H0ClAAQpQgAIUoAAFKJBsASYUyWM7KrwAAAHnSURBVO4B1k8BClCAAhSgAAUoQIEUFmBCkcKdx9ApQAEKUIACFKAABSiQbAEmFMnuAdZPAQpQgAIUoAAFKECBFBZgQpHCncfQKUABClCAAhSgAAUokGwBJhTJ7gHWTwEKUIACFKAABShAgRQWYEKRwp3H0ClAAQpQgAIUoAAFKJBsASYUye4B1k8BClCAAhSgAAUoQIEUFmBCkcKdx9ApQAEKUIACFKAABSiQbAEmFMnuAdZPAQpQgAIUoAAFKECBFBZgQpHCncfQKUABClCAAhSgAAUokGwBJhTJ7gHWTwEKUIACFKAABShAgRQWYEKRwp3H0ClAAQpQgAIUoAAFKJBsASYUye4B1k8BClCAAhSgAAUoQIEUFmBCkcKdx9ApQAEKUIACFKAABSiQbAEmFMnuAdZPAQpQgAIUoAAFKECBFBZgQpHCncfQKUABClCAAhSgAAUokGyBi/QBmEwm/UtcpgAFKEABClCAAhSgAAUoEFYgJKEQQoRdiS9SgAIUoAAFKEABClCAAhQIJ8ApT+FU+BoFKEABClCAAhSgAAUoEJcAE4q4mLgSBShAAQpQgAIUoAAFKBBOgAlFOBW+RgEKUIACFKAABShAAQrEJcCEIi4mrkQBClCAAhSgAAUoQAEKhBP4f3eTlVzlfL3GAAAAAElFTkSuQmCC"></p>
<p style="text-align: left;">The mean point, M, for these data is (40, 16).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Plot and label the point M\(\left( {\bar m,\,\,\bar p} \right)\) on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the line of best fit, by eye, on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using your line of best fit, estimate the physics test score for a student with a score of 20 in their mathematics test.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><img 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AdpnlQkJiYKroUyeTyeKJ3mplb0d0fk4S8+4lAYmiwzK1PuWUqHPhO2oTHzl+zYxARqaqvh7+yFJy0ZzsQkNLe0CKZuVX4+Ur1ekaexqQED3b3IyM/B2Mgoaqur0e3vRWZmhuhtqe4pT0lpCYIzQeTnR3RQXVstMicnu+TXREtTEypqqpHsciE9PR1VNTXo7ehCYHoC2ZlZGB0dQ21FOXr6+pCTkyP3LKVDeSroKzIMweJwEhIHRjtITHQIb01NTYLR8vq88KZ4UNfYCH9bBwbHR5GbnSM+r9qqKvT1DyI7M0PGNEpnLgSfz4euXj9eeeUAEgD51RaLTsORBpRXVyLF7RZ5+BDr7OjG6HA/cnLzxE9R39CA4cEACvJzo3So+5Axh3SfDx1tbSg5eAgOd5LoQGypoQkd/T1YlV8g48YDKHX1tUhNjdg1sZVdLW3oHRlEfm6eyFNeXo6hoSHhnXZdVlEhdj8ZmkFmeoYsVCWlpaJ72oFJxz/Ug5ysHHD7nX10drYhMzNb7M2kwzYFeQUYHOxFWVWN+GOJ7+NcIJ2e3l7pl3OSCyL7YcnOzhY6tK9ufxdyc3JBfy4PfRw5Ui+2lJqaKn6jjqaWqMz8ZUn/pikP71k4xryHdCory+HzpQuvi+Zpug8JCQkyR+sbG0XPvKerqwttjc2L6JSXV2JwsAfZ2bkIh0KoKK+WOZgIA15vmtDhXA8Gg8jNzkb/wADqahukTaY3DaG5OaHT0lCPtPR0CB2uBw1NmA7NICM9Q8anqqoKk5PjyM8vEN44T/09foQNyNpFeaqryzFrGMgxbbSuVuapNy1V9FZb24i2tkaxA9IR3fv7MDMziYyMTLE38trX1xcJY5iUFF0jExLCIk/E3kqRlOJCVmam6L65pUnmD9cuvtxwzSEGc/369RYr8bFfVvwOPfbO3mx38OAIB9Q8Gr1uzXo4XIBr3g/F6AHcGjbrmRMuy+dF0DxQ73AIIJmLvPnrY9WqIlFTkiOy50/AstPjQk5WllznIuB2uRFyhAREzoukQwNgW5b8rFxwEcX8Wxv79rhdCMEtWQz4ff3a9SAbJq/Co8ONvIwMeXviA3LdhjVwhp0CvOU9Zv+mPKTj87kRnI6YCRcShiuTrVVXZHuIdMKOENzOyNF98spj7/zLkpqSEuHFEdnmIR23xwO3yxk92s5Fy+fxgi7GZIcTYbcb9BX5vK6o3tatXw9HCCIf+/V6PHA4j+otLTVV6FBvaa408ZdQHspi8kIwtfw4m/8Rx4wP5IU8mWXZGPt8CIe4yES2CLn9Jm0cIaSkRujwocgHoMvpAoVYs6oAM0H6PSO9kgfSof5ESCA6PuLTDIfhc3sEkG7yyrbULeWhbmV80r3wuD1ReU456SR5EJm/SU15RZx5f+0G2gENmS/4pJOThVknkOOLjI9pS44FtkQeert6o/awKi8P4YIcBOfPcFAe6t+VnoYUV2R7/NS1azHjAJzzzLAPjnGGzydKyMnIEJvlGJr69mV60deVLH2x0UkFBQjm5cDcwPB4fPC53ZEtxHl5Tn3b28Cj7KaNkg774/yhiPlZEVuKaD7yP+fUyPhQ9J7VeYXIyMqAKTP7crqc8iLGvlKSk6PjY84foQOX6IRt2KfL6YaD8zQpMpezM7PlYWLCPvJz8uHN8C2iw/7S0zPB+e9MdmLDxrVAyBH1UwkdhwMFeXkIORxCh4EK+BBkUAkW0uYvJVMHMn98Xjjmdx54nb5L3/wYk1/CnxwMRDHvD4vozY30+TZcD8w1g1u/LOlpHgSD7iiMhbqfnZmNzKH5SEiU1e3LFGgB7yEdLKDj9fngSHXCN792rc7JR1ZWRvR0Nm2W8ugOiglDx/JfLHBb/FpEAxs3rDceeOghpTp0INXJ8XFjcnJS2QcBiqpCcOOABgzb2t5utDY3qroRAOmsAvjJm3W8UJ7AuBqsTJ1Yw8ANASGXlFYoeZ0MBLR6CwyNGCsiT0AtT3FxsZYXnd6oM50diC0pxod2oKPT2dqpBYLrbHZ6Tk9nZHzcmNbYtY7OyNCIUVahsYPJSb3eBgaUtmRHbwQj68anuKTkr0Knh/Icpx3YCQjQZ4MO9aIqdvQ2ZIOOLniBiodYdfHDI4q3ADsAbcXt8aq4BuIaiGsgroHXQQPxwyMKpdsBaG/bvl3RA2RfWgeUpANd5VwlAZ1z9ZWDB9EwH6fSiiH6vnTOXh0dYu50bbivrirEPzGmoaowDl21Rh4dH5S1tDQSZ8+KFrcQ6TtQlYd//bCqWupe2fuKsg1tQHewYPv2SBxEVUeMf6kq1KvuYM72bWqbZf9m3E0rWvTD0TelKnb6+O18/FWrfjg2Ojo6nbBv8qsq1WXV8PdGgppbtTPjR1rVc4x1dCiPbj3oaFNj1KgPnc1yPdDxopun9Knr6HA9EByulVIAbJuPu2nVhPNUZytW91pdjz/YrDQzH3VEB9CWU4+KPojD0ZVQmCfz1EW3KHIPXvdwNPQwNjUT8yfMtLxwM19RWEvnuKoQrqXTrep+qXM6EZ5R8yIOAU1HHB9dCTlttNGcoNVhk8iDU3MilXagK/SJ6opWazMzUb+QVV9BO7xo2iSFw9D1Y0dvM/NBgq14nXXMaU/H6k4305c1NaOOwkH6uvkjzmQrRu1e19iJrW7+Sk8H3elaW7wuaaRbT5c0/9v7ql5+gbyc1UqleHMz4VLEkuTNdDrrinmww6odTxSZzmSrNumZvqjj3qqNjo4vIws8pqIqXk/kYIJVGx6MYER7VXG5fXB7NHTmHdJW/RBMnpGpxoV5PDz0op7Bl1x4iRWJ6PVcDR2OjXmoIHrTkg8FeTlLriz/mlWYv/zigisbTz99wbfYH4uK1sSuWHA1X4On8/LwhEZvPAChKieddJLWZkmHhydUZXWWWie8N1uBNTXrlXE6AWw680wVGyJLdpp6LpMPj0f9uuxyRw6JWRHjAzRXI8+GDeu1gSHcmvmTxMMr6elWbMh13XrBRqsKCpR98PANo/+vZIn72BTatAPQVtz+V62SoKeJidGThn9V4sdIjG+sOiDrMXb5mjafHpuGM0Uf2eU1ZcJm59SrDjhts6vXvNmJZgd2Ahy85kqzSYDb/cw7yYfg32JRv6r+LWpkgczjmm0SgnbNnEwLblv0kfvpuj115mNTbXNwD5q4LlUprazEwcOHVE1kz10FNCYdXbxC+qR08pRXV0NFh4uvbt/dDh3ySp6tynQohDpNHMG2Nv34/HrrY5iZUAdkrq5S+3AoDyEbqnK4slypN7EDja+IdkCspKq8/Ira70g61dVqvyPlGR5U+9gOzecrs+KFdvTiSy9ZVct1oaPx5ZVpYhHygUQfmqoQi6jz5TEfmaqQTm2DOmYosXo6O9AFWyYdnV9r3/792jZVVdXKbdHR0Wl0tKljrdLPrZOHYHHV9ivv14HfVXqPVRcHaMfSyvy1+3/4Q+RkZ+P0DRsEDLn9uefQXNeAsDNBwK079+xCR3sHwoYhIGEuomWHylHffARvXbceg/39ePnAAXR1dyMzwwuv1wdGiqdTd2hwEKtXr8ah8nI01zbCP+BHYUEh+nt7se+VV9DY1ITsjCykeFLwwvYX0DnQhfAskJ+fh6amBhw+WIr65ka8dd069Pf2o666BoMDI8jOyZI3diY4ZR+JjrAAYPkQqDlyRCYvE6z29/WBxh+hEwG/7ti5E/19fhhzCcjNy40kUywtQX1jU4ROf78k1aQ82QScp6bihWe2o6GpGUYit3uywMWsvaUR3R29WHXKyQKu3bNvn9BJ8xKP5ULxgf0IBCaQlBTJ4kyg8aGSErQ2tODkU04WYCvBvYM9fUjPzBAsIXVPXufCYRkTBlatq69Hb2c31q1/q0wuk06qxyM6ePnlvfA3dSJohGR8dr+8Fw3V9eju68HJRUXygK6oKEZ3eydy8/MFZ0Y6rS1NmJ2bp3OoHMOjAxjsGxI6XFRe2rVL7MDlThaA9t7de9Hd3orZcFjo8CAJweA9A104+aQ1gnGjPP6eHgHhExtpyjMTDCIvNxeHqyvRVNuIwaE+nHLKWgHdk067LCyRkGw8FMIgAKHJWRSsKgAPCFQRIOv3o+jkk9HS1obmpiMIDE4gMztzkd4mJidRkJ+PQ4cOoa2lWYC/p5xyytExrm/CW9+yVgDAO57bgT5/NwyHQ8Di5YfKUXGkCh1NrTjlLWuj8vR29SA9MwISpvOf4xgYHZVtJSaT7Wlrw0D/sIwp68pKS9Bc34L8k1fBlejEnpf2YCo4iYRQAvIK8sAxraoslzZveetbonQi8ydiB1wAmcw32e1Cui8dr7zyMjqbO9Ez2IeTiorQ1toqNsp5uroogvPbtWcX+v39SPREQOmcfxwP2hPnT1tXB8pLK9Db24309AwBJ1P3tAMj0SnJX0lnZDCA8YlhFK4+Sod95OflwTAMkcff2yVBCAgWN+3apMPDGnJ4pLtb9EpQtzlPTbtmkuFGPiwGBnBSYSF6e3qw7+VX0NrYImPKB8S+fXvgb+9BojsR2VkROtTtxMS0rA98GWAkorHxADIzs5CclITnnn9R+pg15mT+cHxaWltlHWASWr5kcD2gzGlpPtHBwUP7wBc/wwgLvzt27kBDTR0mpwPIzy8U+Y7UVqOrrRuFqwtlLph2bcpTUnJQ1o+J8XFJBssxZqJXUyd8QHM8GEVow4YNitX4GKtiYQDi1yIaWMtEow/9ylIdTAq5f586MSeTKbZ3tlr2wYqyMjU+hokfDxwoVvbBRH27NMkhS0srtIksS5iMVFHsJE4tKSkxpmetE2aOjEwZuqSNpNPZrU7QWlpSok40OjtrlFSUKaSxlwj2xz/5sRa7V1yu1huT3epwXRxDXaLRkgq1rTCZbEmpus2+Peqkm5LQtMSGPAPqRKO7mDBTUdrbW43HH39c0cIw7OitWMPr+OSUUVKiTjjLxLa68fnZAw8oeR0KDBkVGlzekSPV2oSmujk4NT6lteunn35amySU81SFlyMd8qsq1Ft3jzrRqCQRVeDyqPc/P/20iswx18V9bIoXgRPJxzY6Ngwe3iOK/w1fwmFJRb/SDuPXSm6+zTI48Yngr2CYMAbpYCSJN3rhljRTp2jtgCf85iOPxJRJVx/zpmO/SDvQ8nrs3b4md3BblfaqtIO/kt5eEwE1ncZ9bAoF8USk+vwStHvqjJHH7StV0eGxeK9u/z8wog4IzD5kG0vjN9TR4X64bk9dl8hyKjyj9I2RV1t0NL4Xbtvo8lZRXn+/OsFnh9+vfah1dHQp/aS0AZWfgTLXVan9M2xDH42qDA0NaPOKcZtUV7iNpiq0az6YVEXXB7efdLYkdDSJN+s0OffII/tRFTvzVBfcm2O8EnR0vkvqXUeHvKr8z9TFsCY5rh06duZpzZEqleolRJqdNVDZyZLK+INtiUKWftUd929pUDtXR3p7EQiML+120Xe+CepK35A6ASj31XWJNwf69CBhXfJB0tBN8MBkQClOaCIkwXhVjUhDJ4+OVx7I0emWYzPQodZ/rY3EnG0dbcpfFZRH92BralfbEvXl14Df6cehLahKd2erqlrqdH1wQdPJ09GkBupzfHWHlUhHZ2/MxK0rI0Pqgzuko0toWqc5IMQHCee7qpCOzm7HNfOHdIb8ajp21oOhgDqhaSgY0r54UJYhTRLd9gZ1IlLiFOMPNpXVrHCd7teaHXKzqi2U+Q4EDKsBVGowz3ZYAWYTMXecrzLEhukWNEdYoznyYEMv9oRSt5LEqIomDFQ851QrxQbGXkHhaJWOl6MtrT+FNNgx6zuP1miw8ZGGGnsU4LTmrS/sUuMQSSjEiLmKwgAH2i1gdReR3mfVyWQpjy7AQVjdhUgyC3WjpHAiHJrJHLJhcHOReMiWmtMlcOWNOhyiNmrEPHX17AFmEtSGYgaRthTmVVTEfWwKpdmJFcm3JxUw2nwIqCYn26jqhUXNfrj0wYeF6oGh6UOhimiVTP6werGxI4+uDetZVHrR9cH7dW2kXqM33WieP3kAACAASURBVBgLnWBQiSGk3nQPNlt0NLby19LbTDiEZD5kFfZmR/dso5o/pJPIaPEKPNZMKIhkZlZQFDu8gFnoj6MP7hDIOCt4tTM+ChYiVStFR7cemC83ijG2JbNmblAo3fhodbKkge5hu6T539ZXThX1u8bRlDVWmuGEVE1K3qerl75VxjXvg+M2h7Jo+lDeO1/JxVnHr66ee/e6rS72oetHV0+WdW2kXqMX8mouSFY60kWt0D3U2K9qgTfp6uShDeh8uro+7OiN6YVUDzU7fdAOCG9RFdLR8at7qNnhhTRUDzX2od0uszk3dPKo9CF1NuhwC15nB7rxk3rN3GAbnTy6uWFnfLQ6WdIg/mBbopCFXwnQnhwZsVzUuIhs377N0oC4GBJsWVNRYelop/HteGGn4L0W0l74mUb6wgs7JHHpwuvmZ9IhyLuytlZJhxggq4cf+2Ddc889p5SHYEsV4JLysA+hY77xmYzOv5lxX56YLKuJxwXv4KFDqKmpsdS9ScfKh0Z5eIhlx+7dlnQmJkIiC8eI7WMVGZ+9uy19dXxDHx0eFjySSp7Dhw7hyJEGJR2C1lXj09Xlx+7dOxTyTKChpUUSyKrkeeLJJ5WHkcTedijoTE2J3ppaFPKMjgkIf2zU+uAUXxhefuUVa3nGgkKHWCeVPLQ3jkGswvu6OjpkfGhXsQqvSxBxFZ3RMRD7paJDeRiQWUXn0Ct6u97+wgtKOyC2jNhJFR3ixfggVumN2EOlvXV0iF5Uds0A7rp5yuDRVgdi2DfH9ykN+D3WuKmu6V5SVPf+TdT1Dw6i1+/H6qKiaKRrHv1mUlFGKxgbC0oGZh6r7fV3wd8/KHp5xxlnyIOovbNT3mhyCwsFAExw9ejwBNLSUyVjbHdLO4YnR9DQ3oSz0tIk47R5km/d2rVyXLeurgGT4wF093Rj3br1Yow9HV3iGyIdnuybDgQQdEAc7UyUWFYVOYlk8trd2YeBoX60tLgFEkCDWkiH8RvrqusQDE6ju6cHG+YzdZuGTzq8hwkBmf2YnwktkIgOSXPIyIropKe7W5zwtbUNyDw/U3RgnuRjok/qiROOCQ9j0Xn7aadhPDCOoYE+DDkiAG7KYEYZN+Vh1t6J4DiYJZtHsMnPUjrVdbWYHgmAPKVt2CATaGJqSsZhw/r1mJwcxsBAD3/XoWjNGomLRzqOpETk+3KQvzofPd2dyHano6GhRQCmXEyamxswOwexAcbsq65rwnhgRHRD+ZrqmjAWGkOKkYINb98ghwX6BgbgHBlCfm4WMrOzUV1WBvpfqUPqpbu7W5JJUjeUkXTMU4W0Nd7T1taCoaFxdHZ2Y+PGDaLH0bExsS/qLRAIYHIoAIcrHB2fsrJKJGEO3mzSWYPW9naEgtOit8xzzpHTdQvHmAsh+adNDnT3IW1Dmuh1enQS9OucsfF0TI6Po6+Ppy8Dkkg0Ozs/agduTxpotw3tzQhNBFHXUItzztmC3l4//L39oI+JOuFbfifnRooTfT09Yhe0x/HBAGYRxjvesQmB8X4Zn6GhEclwTl3x5OhUKIg1RatEJ1wUqQPq7e1paTIXzBODHOOkxETUtTRhknbQ0wOCkZnZmvOahXbNwykjfUMyhkzAyaSYtQ0NoH+voGi1jEdzawMYV7S9rRMbSWdsFD0tHTIHhU5SEpqa6jA+Pi1juY6BE/r96Onojc7ToYEAekZ64Ay4UbR6tSRQNU+omnbd2tqK4OgYGOGf8tKuO1vaMOdIxLp1pwjPbS1N6J/sFb2tWbtW1oOurh5kpvmwZt0asbdgcApDPX0YWzsWsesl64HobXRU9EbaXEMWrgf0e/ElaXI4gKHCfBkfAqkZTJo2zjHm4R/aNV9UOX/SnM6oHZjrAcclOBNCQ1sTtmSfg64uRuAZQRizOOsdZ2EkEJAXDzs+QRHe7n/HjHz7G7phw3p1olEmMKypqVFqhOBDHfCzsbFdDZScmjKYOFBV9h84YPCfqrQ2Nhrk2aowwSQBl6rChIA6ecirig6Bn7/7/W9UZCRZ5vHSIfi0uV0NjrczPkw2Oz6pTrjY2KgeH+pNlyS0qqpCrbepKYPAdVVhMszS8nJVE6OqrEpZT5C4zt76enq08tQcUc8N6uSJJ55Q8mKHjo5XJhA9sgLj86tHHlHySjr19epkv3bsQCvP7KTR2qi262f/8hftGOrmKRPJdnZ3KmXu7uzU2wHXSAVAOzAyYpRqAikomYhRGT88ongDOJEA2gox4lUroQGdo30laMT7iGvgb1UDKzy/4j42hSHx4Ij6rBW0OBz+vNeBnpuO6IG5/RoQMWPDWfmbTBEbWpqUQXbZztyWMu9Z+pc0dHR0fXCbjfH+VIV9HC8dnjLkVoiqkI65BWPVbsfe3dqDEg1H1IBm2oCcKLUiAr0t8VYJmK3oo6GuVuIEKprgcNlhVbXUVWuCblNnExMTyn7KyyqV9Rzfg5qAzKTD7ThV0QWg5r26MRY6GsCyLqgzx7hDg6njdrJuPbAzf3R23dLUctzzh/O0TYNFtLMeHLYIzk497NjxgvDJ8wErWeIPNoU27ZyK1GWhDfQPaiMA+EcGwWPNqjKkAXn32gB+BoYGtYurDgzL/XQ+MFRlXFMvwE8NKF38Hhrgp45X+nH8XepTd9PTk9qFpkMDwqcuBkciPhsrvYjOYhymWdi+rVENaBY6OmBubz9oC6rS10G/orr4NacVuSiFNXir/gE18J22VKvJvkA6qkwRlKK3T02HbcYDsQ+XmFoYHxzE+OSk+TXm377u7pjXzYvkc6RXrfvh0TFM2gBgm33G+ktbol9RVZgNnPpVFd08pr91eFqjt/FxLYC+y7/Y3qYmJvCnrX/CU888hUsuukR8ibrTsSo5YtXFD4/E0sr8NTu/2EKaVwMdkJKk3A5nBBOk4EWXTdqW89XQoDoV9M0qPiysTlpF22hAt4Ix1h0jNjs7jr98VdDAm6R3HmhQFc36LbeGQjpgCCIYJwUhR7LGmADosO+6DNskHyYwTFc0QhPQHNatHmG9PLqj4kmJesiNbleFojocSUqJ55LV9bxZ94ubbYwUdT88kKLbBwrasKVIP9Yi2VoPNC9a7D1pVi2PNQdHa5ISIobCdeOpp7ahu7sVH7jqOjk0xVZzxtG2K/Up7mNTaJIA7dvvuAOfuPFGRat4VVwDf6MaWGG/yN+oFt/0YvOF4IXt23Hw8GFcdOGFuPDCC19zmfWvVK85CycuAb6B6PbD6R/QbRvo+hA6mq2hhro61NnwW6l+bdmVZ0zji+C2gooOdaJLLMgArTo63C5T0WHd4LBma2h4WOvDeW7HC2BGYlXRjSG31OizUBX6K7TyDKq3VgkRMGEPVrR0vkvyoJOHYzilCU6so0MaxDOqitDR+PL8mq1XkUczf+yMD/FyqsLx1QUAt0NHty1nZ3yIm9QFQbCjN/KrKpRXZdcHX96Lr37hq+gfG8V//tu/xXyo8X6eEVjJsuKJRqn0wcFBWWSLi0tBDNbw6DCSXS5JREcM1IlS7rv3Xrxt/Xq8/e2nwu32iNO9t2cACQlheL1pImNlZTXS0rxRHE5rSzu6e7okaSgnJTNf+7v8yMzKFPmZ3bi9tQujU8PIycoFA7iWVlTACIeRnp4e0V1DHfw9fmSk+ZDkcoGO/Nr6I/CmRugQp9PY1ADyUlCQLwtz7XwS0ZycPDidiSirKIO/sxdISkBaqlcctOUSzJd0MjA6Oir+DbbxpqUiMTFRcF6kRSwPk2GadAa6e5FfWCB0GLS22+9HXl4emCiRdMjHnBGGLy0Nfn8XSg+VYy7RQOY8HWKZeI8nxSu8EatDDGB+fv4yOhn5OZgIDKOishIjQ8PwpaeL3njggbw6Eg3RPRfNyrIyhGZnkZuXJ7xV11YLL8nJLkk0Sgf7kco6pKSmyPgQM9Tb0YXA9IQkReX4UF5i4nJycuSew4fKMNTXg7nEeb11daG6phopyW6hw0lYWV0pdBITHcIb8T41VRVIScmAz5cq+DN/WwcGx0eRm50jPjzawcDgILKyIolgKY/obS4En8+Hrl4/yg6XcsMLHMOFdBLmALfHLeNTU3EEqWmpIg8fYp0d3Rgd7kdObh4GB4dRd6QW0xNjyM3Lj8gzT2dmNoiM9PRI8s6SEsEiMhmmOcamLXH+Eq/ETNBeT4QOH5StxNANjCAvL4J5oi0NjIwgOz1dbJT4v25/F4ITQWRkZcihHbYhHop4rIV0cnKyhT7riS2jvQn+r6VFcGL93X6xNy6qbDM0PBzVm0nHnewWPCLHuLK8XHBx7IMvO20NTejo70Fedo4kzKyorUBjTVM0KSoPinQ0tUibVfkFGB0exaHSw5gIBOBNS5N7Ksur0TXQgyRHothoS0cbmurqker1RnxC/f2o4zzt7EVGZrrMBb5Y1tQ1ICPdF7Hrri60NTZH6VAezh/T3sKhEKpqI/PJMeeA1+eV4ODMQG+EQsjOyZEXjIbWBsHGedJ8MObmJCt8Y2sLfN60RfMnOBMUXZIOE9DSh7Zwni5cD6i36tJKzCbMHbXRulpZd7jOhMNh1NfXo6GpCWler9Ch7vu7/JgMzcjc5otJdU2NyEMsKdd22nVHtx9NDXX4znfuRM/QAM45fwvefdY5SM/KkkM8XS2dgsUsXFUg8vGhVt/Sgo0rmGhUt0tu+xnECfHbBx/ET3/9a9RWV4KgyoXF43Zj46ZNuPbqq/GlL31JjHJhve3P4TCIZGdkitM3nY4rLr8iZl9cGH54770ITU9LWCzuw1/94Q/htA2n2SZFrwkXeDjdcs/aNWslNYkZ+ijD55OoM+b3vJwc+DyeaP8OR4oAkR1Ol0w8VqwqKEIoLwTnfDBbt8cDl9MB7/x9Xq8XpBMMh5GUHPGJ8Zrb6QL/smRlZID6ZJw2Fvop+L7AfXX2xe9ri9bIST63K+KBII8MYedyeaSe95vyEJzNkE9s43C5okFahY7LFQ1UK3ScTrjnY+EJnSU64QuAw+UQMCv75GKzpiiiN5fLGaHjcUufvF/k8fngIZ8OBxhCKex0w+VwSexFs00sedie+mOhDKY85ni4PC443RG52KaosFC8f+arlRkezKTBNmvXrRHd+6hf+j89HjAorTkWXKhXF62Ba15f5CHL60WH0w2PJyJPQU4OprOy4J5/iWP/DCtEHs0ifXDs5ul4XG44EIbLkyFNCLKPyuOJjBnlokymfKsKCiIHK+bpuNzzdQteHs0+zLBGtKHQLJbZUoiHl+ZjgGb4vOjqOqo32jVtwbQ32hR5SOPcmKe1ZvVq+WzqknQY69fF8QmHkcUxnrdZM7wY27B9VJ68PEz7fNE+zbqFeiOYnf2Z9xBM7XRGeGX7pXODykxzp6HPORC9J49jQ12aenNFeEhJTRV+OMZr1xYJHyYdr9sDRqGXORjmi21knrJ/tmchn17auGnXWVkyvqYPkNfFbtLSZPYnpqRgzerIPOW8o1yeDB9opN6sLPn1TjprENFt6vx6kJKSBjeGjtKZ161JV+jMy0S++H3p/GG/Do8DGZ7ImiLrAdcMyuFKAWM5ez1ejHpGo3Soe65Lnnn5qBv2zTk+i1lIULJQGPfedS8uuOh8fPOb3wIDbpeU7Jd1hX3TlkT3C/qg3le8xMC2HfOlrVu3GptOP93IyyswPvrJjxs/uOce49lnnxXwMgHMzz//vPGLX/zM+OjHP26sPWmVUVCwyrj7u3cpwaixmAgEAsYVl19JV2P038Z164yysoplzcmTw+mItsvJyTM6e3qWtVNd2LhhvfHIQw+pmmjBygRtTo6PK/vQAXcJdtaBlRsbGw0CsFVFS8cwjMDQiKoLg2NAmVRloG9ECcgkQHv/fnXm8ZHxcS2dwEhAbUNzc8bQiFoeGR+NPLt2vWTMTlpnBKcudLq1Q6enZ0ipN9qBjk5jY7PR2awG7w5oMl/blYcAXlUZ0tChLAc0QQXs6E2nE9HbyJCKVZmjOruWTNCKXuzQsTN/RB4FoJlgZ53MlZWVEuRAwW6kDwUdykN+VcWcpwwccMd//Ifx9a9/fdlaNTQwoOpC5nlne7uyzbFW4lhvWNr+tttuN9asOdm48847DUau0BUq61cPPWSceeaZxqWX/h9d80X1P7jvPuPTn/6kKI4K/8q//IvhcjmNiy++eFE7Guhll79Xu6gtuinGlw0bNxoPaaIN6AyMD7XpWfWiSFl0mtNNuhjsL7tEXmYVhswbdHRYr20zo36QL2MsxgVbdDQLKxeAgOalwg6dGOwtu6RbAGj3/KcqI0PqxZf36uio+jfr7NAZ0LwQcEFTRZMgLV0fJj+qvxwfnd7s6ERns5RHR0fFJ+t4v44O63Xr5NTUlJKUHTrKDuYrGWFGVezQ6e7sNv73f/7HuPmTn172QDP71q2RpGNnDM3+7Pw1d2Ve9S/Bs8/ejMryCnzta1+TbSRdR/zp+rFPfAKHDh3Cxz9+i675ovrmhhbcf//PJXYbf/7+v+98Bxe9++9QXLx/Ubutf/wjztx0VmSrZFHNsX0xtxBUd+3fv5j20rZ1Dc0Y6FXjbErLK6E7pk1fhKowMDHjv6lKeW2tFhOko0P/mK5NX5c6KSp9WwyeqiqkQVqqouOD2+OVpWqQMOPdmTEZrWj99g+PWVVFr1dXlkc/x/qgO4zBe/ZpbIltig+UxOo+eu3gwZclcHD0QowP+w7si3F18aXyA8WLLyz51k7f+cTokquLv5YWH1h8Yck3xlb8w+OPL7m6+GtdXaMWZ7j/gJoOe2R8T1WhPP2D6oNGLzz3gqoL8RfpbKmxtg59Xer1QGcrnD/0W6uKnfVAByanO6e2OnYgBfL4r//6r/jMFz6H884/H794MLIux+JJZ9ecp8XFanuL1a/q2nH72K6//npV/5Z1fMDdeOOx3fvPX7w1ut/Ljsl83uoirOlbvOj/8Oc/Rfme/dj+3HZcdunluOOO22Uf2JIZiwpbODaLqPDRLh0GHA71I1LyXC7wi0TvXfCBg68qdBQv9EXEausMJ2hzgsW6b+k1HS9hTeJO9qcDV5v+nKW0j+U7k6rS36cuYYSDalzXZEAN3GX/6h4iHFBvtPvjKY6I68+yCwbhnXfbWbYJz+h50CUAZXJWh9okEdZA+4LBMIIaMD8cs1qd0a+sLZpEo5TH9Htb9TUZVNuBnbHVJbUlbd38Ev7CanyZrfXAhi0mLzGV0dEx3PW9OzE9HsTlV1yGm2+6CXbmu5VOeX12blZV/arqVvxUJE/bXHPddbjpk5/E/fffj/ojR7CqaA1WFRa8KgYX3pSZmbXwqxjAj3/8I7z//VfgPe95j9TxbcZpAGveug6tLa14/PE/4ve//z3+4R/eh+zsnEX367787Ec/wjsvvFAigFu19Xg8cprRqj7RwYMUHjk9Z9WGzvhkjweOhASrJnLiSPXgokOWp+tUbZKciRJRXHUylZMzed5JHYsZ0uE/FR0eDlD1wROYPJTBU5RWxZmUJHpT0tHw6kSC8CEHgCwIORyJSM9Q642nXnmCUFUczkT40nyqJpGDSIoWLrcTGemZihZAclKy8iXN5XYjIzNTqduU1CQ5GasixEj2aQp5kp1OeOXwlPVDxeP1KHmlrXm8XuTl5lqykuB0ITUlJXpAI1bD5CQX0njoRFGSkpOUNstT266UZCS7rIMYuJJcciLSigznlTs5WTnOpKNbD3RzkPTdbpeSjp31gPzq5mliSjJSUzwYHR3Ej350H358z7249oPX4NbPfU4yJTiTkuGVA01HD80t1U+S06nUmzFrYDo4Laekl977qr/b2a88ljZf+uIXjdM3nW7ccccdxuc//3nxpXm9buO+H//4uPewl/JRXd9o8IBHj8I5ed999xkul1v44F7usRT62H6j8LGxPzv74Tq6dvrQteHeva6Nrp4+E10bymJLHoUvj/ePa5zSUzMztuioeKE/0Y4fQdUH7YW86trwQIyq8H5tH/StaPSmGx8e6LBFR8Es79fSmbMpj47OSulNR0fjt5qc1etN5weyM8YrMT4UlfNDVcjrStgB+3nkN48Y737Xu40HHnho2VkAOzLrbEklx6uts37depWPyungFB556BF885vfxH333QcGDn3xpV148Kc/xf/77ndeZa/Lb+PP9du+/P/hZ794CPmKt+nPf/7z+M53voPa2mpUVERylLE33r9zxw7s2PGc5b+J4VFlBm3uxOgApowl2dahDsQrwVUV4W3IK/fMVYWJBYnsV5XDxH3x/K1FmQ4Gtb4v+vEE+Kngl/4z9mVVuHf/1DPPWFXLdeLcurrUsRPpp1Vt21DW8sNqHxt3GHRA1t9s3aoFaB8qV+ueetP5TmhLOr1VlFUo9VZeWYuKKnWbF3bsUPZBnTIhplWh3bc3NKF3PqeZVbude3daVcl1YhGf+YvaDjg+ojeNvakIjU2NiU9f1aaupkELrt66dauqC8FS6gIlM8+bzg7E/6yQlzi12opqJS/0a1n63Of7foXzx2KeMlrI03/+My5+9/9BYCSAZ//yLG666RPLsowTn6mTh3ZtNU9pS0xCunv3XqU8x1q5ZAf1WG9f3v7qD16P/Qf24x1nvUMquS215ZwtoBI/dsMNOFJThVNPe/vyG4/xyj13342PfvQjuOCC87V3fvSjH8LXvvZlMOCtWSbGpvCpT9+EidEw4JgGwu5lf/tGurF3xw6cvXkzmMjRNOyNGzeC/x59+GFMzvu+LrnkEgFfmsZ07bXXCkiV2XCdYQfG3j0lW5rMWsvgpASl8h5GMyAAlgkz6a8kkLW8lEBd4OL3XCzg4kcffRQMLEy/1KWXXhoB0M5HwzbplJaWSqLKwtxcSYhJrB8L8Sq8x6TD6O9XX/lBBMZHog7bd73rXbJVQDo0aAJHL7rkkmV0CHDes2eP9Pt3f/d3WH/q2/D0n56S76ZOKB8d6JTpwzfcII5/84DNu975Ttm+4tZwYHwcbEsdMHO06Wu58sor0dRUj92794jeLrvCJfIs1T3lqWtpEZD8jTfeCGZq3rMvwtu5554r+v3TU0+JzkYnR6O6Nn17l19+uWT+LS4tkWC+l/79pVi3bu2yMSaPTKz5x61bcfPNN4s8L730ksi8afOZKMjJkzr6NNiOujbH2NT9Qr1dcdllkpTRlIeJLzdv3oxntm2TxI5cyElHQNLzY0zdsh15IJ3xyXGRh9FbePiF249XXH45ysrKUFIaccJnpmfKPSadk086Ceds2YJt27dLwtJfP/ooPnbjjYvoXHn11bLQ0Q6mEQJ9SpSHCxMP6hAneTXHp64aO3e/LLi7yy67XMaHuqbdnHTSSdiyZYvo0d/hx697HxU74LygTCzUPbfKOO5c2CgHwyxxQWfyURbaNRfNnXsjC97fX3KJgOhN3RfkFeD8C87HY489hp6BAQlAcNVVV8mcM+m8973vlb62/n4rGKIxHAriwosuQWl5ucw3kw6Bx6aNcnwysrLw/PPPy72nb9oEJhJlhmcmxaTerr/uOjR3deGIBDwALr74Ylm42YZYN8Z13XLeecvWA9qBSYfyFK0qij7YOcbr5+kwiDVB5Jw//GuuB5xz3KbkmHI9mApO4fzzz4/arCkPX4IJeqYt+Xwe5OcW4qlt20Qec56S1y5/l8zTT9xwgwDbzQMcTCb6x4d+hVGE8eGPXYszz94sW8rbn3kGY8Eg1hQUiHykU1pagmAojH/80IdkDTHtzaTD7739vfLwu+GGG8B1inxFeX3lFVTX1SE7W70FLzccy3+v9qee1X093d3GPff8wCgrWY4t6+7pMW67/XarW21ff+ihB4w777rLdnv+XM7LyTEaNUkal3a4bsN65XF/bnM9//yzS29b9J34jtZ2dXLIffv3Lbpn6Rf+lN+3Z8/Sy4u+E2Oj64dtVFtzpLNHQ4e4xOZmNV5u165dSjrc2ntEscVLwZjwVJdUc9dLLym3zCirLvlqc2Ojls6Pf/YTg5g5Vdm/Sz0+lIdJM1XlxRdfVMrD8dm/T20rB4qLjYqKEhUZ4+k/Pamsj9jBLmWbI/X1Wnn+8uLzyj7a21uNxx9/XNmGemNyTlWhvakKj5vrMGhVpVVaOg898ICKjODCDh1SJ/utKCnV0tHxSrjG4cOHlbw8/fTT2iTIXFMWbleWl5can/rUp4xbbv2s0d3XYwTGA9qktWUVFUZnp3p8aNeqLXbi3MjvSpbjxrEtZeb222838gryjJyMDOPb377TIBh0IXaK9a+2cBB+9atfLXuo0XB/80gkIzPbjE8u9nfQUD7+yVuPmewmjY+Ng6UDTnOP2hZAW+Nb0dGhDgYG1AunFk9C4KfCX0kF2pJHA8zlGOkWK6Gjwakx8+7CiRlrgHUy25GHC/Dx0qEPVIdx4hir6LBOJ8/IyIAxonkI62yJdAYG1Jg62vT4uNpn3dfTF2tIoteoD2ZgVhXSsaM3VR929GbH3to1IOKVomNnfHR2wD4ok6r0ca7PzckL/003fcq49dbPGK0LZKQ8uj4mbQRs4AvdwmdATJ4U61/M9pqLK74VubqoCNdcdQ2amlpwx3/cjv/93//F2ZvPxCUXXIT8onzk5B89mci9Yv7UfscZZ9j6kfnrX/8aX/jc52QbkNtZCPFQshP9/V347ne+K3184xvfwFPbnsJXPv8VfOgjH8Rfnn8RxPb85L67bNFY2IheImtPkeTCEEzdwnuWfibeTlcYS09VuP2Qqzg5xnsnJycjIYsUHWnpOBzIVPgr2bUtebKtT7mxj9nZWcs9d5N9O3TS0tPN5pZ/dTLboTPSP4yi+XBDVoR0dFSnO80+dWNMO9DRGRkZlxO06enWdmeHjm5ryE4YpNx8tR1wW7h/cBCFDMdlUWzR0cwNO3qzYwfcBlaVlaJjZ3x0dhCc950p5QqF8JnP3gKPOwW33/6vshW6UD7Ko7yf4bdsrG+5+fkLu132eSo0hZ6OHtk6459CHwAAIABJREFUX1b5Ki+s+OGRszefjbvuugvPP/8XDPQN4GcP/AJnnHEGHvnj7/HZz30BP/nRT/C5z34Wj/72MdlvLrEJzKODn/vEl115BdauWYd1a9fK37Xr1+CC8y7EdTfcICr42MduxPlbzsOfnnsKt992Gxwup8QsszNBlupQjT6LtKZvRFUYFLRLA8ikD0OH2zJ9d1a02tra0NPXZ1Ut11/hoQ7N5DT3v606ov9Cy0tHh9Xtcp2OZB2duqamqE/GqjNdH3SMv/yKOnp8R0cbGPhYVQ5WqkHRvHcvs2wrCg9K6HRv+kUV3WDHTvXBjzYbh2G2PRnxi6robN+ujmRPnY2NqiO/v/DCdhUJ8Q8yKLCq0P+li5iv0wn7Zz+qwnqOkaro7J5R+XW2VHm4THtYSZe8mD8IuK6oCtdL+l9jFR72+Na3voXb/v3f8bnP/V/c84MfLHuo8T76rXV6o3+MmUVU5cltantLmEnQrgeq/mPVrfgvtvPO2xKlw7eKD19/vfzjxaa2Fjz88wexY/dOPPrYb+W0zQMPPRRtr/pQVFSEJzRRCnj/+vUb8OOf/ETVle06/lqz83BTdhhymHFiLZsRT8JDG2ZwWMuGygr9OwrzSxK0fLyFb3LKokPm8mbFqS9WM1is+v1YyYFUhojTmQ82bdU6HHbAqYnB6rCRMNOhyzjLgAIaEH54Rg/zJoz4eIsjRW/Vbg0ZPfCdGyorYGzhBG2CTzvjo0smK4k7NexanewzxyNMe9PoTRIP6+ho5gbpOaAGaAeng5hwLU6TxFRQf/zd71F86CC++OWvIsvnVf5aJh1dQlMzkLSpg1h/kzRzcDZ8AgC0YwlmXsvKyMTFl1yMT910Ez5986fByNy+jAxsfkfkBKXZ7o3y1w5AO5RgSNoHK56dSQQju+BOPhrZfWnbhLkEpGR44Uywtng+/FTbWUwFwi0MtrMqjkQHsnzpgAIIzntVdLg4EzytAj0nJCTB7bYGuhIUmpWfj+T5qOhW/PLknIqOjle+UVC3PkZMtyiSegZuSRli0QRve8tb4VLIw/vCKYnI8FrTYRumIFKNT4IzQQsEZ3qgLMXWdV5+PphCxIw4H1OmsKGlYyQ4lNueDDzgTvEo6SQYQFb24qAKC/nhi++6teuQrNAtU0QRKK6SJ8FhICNDvZ2fkDiH1FTr7VkC7D0p6kAKq1atUgKamXoqkcD21EjE/IWymp8TZhOQ6k2WNFjmtaV/+eKoAk6zvcvlkPRNS+8lkPr+nz4op4rLK8owOhLA+vVvxS9//kv86Ic/wNXXXoPP3nor8nJzEJqbU871RGci4EpUykN7drnUYPG5xETkZFnbAWUtKChQjvFSOXXfX9cM2vxJTbwFjyq/EcuJlEGbMAE+0riovdHLzNQUWjs75Rj1G51X8lddVo0Nb9+gDe30RpCF+cj48qHz07wReGWUoO6enhPGDnhcn7CfN3L54Y9+isrSyDalAyHUN7cgxenCLV+4Be+74gO24vn+teXjL2H63VUv1MfKk/Xr/bH29Cra843tjfpQE3FCIQTHJy0POnCvmr6IKYsMvxywiooK+We1jcHJvXPvbkyMjlrS4d4/sVEENscq7LutqQENdU2WfZAO8UJ8mZhh7q0YhfLo6BC7QplU8rzwwg5L0CbvI4aN/Uwo5CGmqaamRkmHvFplGyadseFB7N27U4CzMcSVvkWeKmt5mDn7UPVBwfnE6oNbqqPDYyDo2SrLNseNGY2JLVLpjdg8K7Ar72Mdx5BjGauQDn1s9D1a0SGPTz2xTZKRxuqD10iH8lja20wkYICKDnncvn27pU5Ih36gqqoyTE/E3nSmj5Tjc+SI2q6pt4kpYlGXb+VSD/5ev1qeUAj0P9OHZqU3ykMMltUYkzbl2bt3r6Xe+EJ38NBBHDmipkO75jyNNUtFnq4u8enOhBYfbeN4VZceBB9oXR112PnKAfAQybkXXIArr7xm0UON8ph0YtkB6XR1dQm2kHzHKqTHeXpEM085PpQnVmEf1JuJG4zV5tVcO+5YkTQGZn5WbbFYMcaDCG/kN8u7f/hDnLLmZJz6trdJJme+uQ8ODyIcZsLBNFQzG+7ggPwUpxx8ABFgSqctvzNLNd/yZoNBiePIbTWeFu3t7UFgKICsnCw0NzfD39GJsclJrF69Wu5hVHv+Akv3RbZgOKEGh/uR5vXJ9hAXnvb29igdOtcbWloxOzuBrIwc2dphNl/TeUy6bN/e2YmpyUmsPakIwyMjEj2fbbjlZyQmChA0MDIi2c6Zvbe3qxcdXR3o6+pDXkGe8NbY2IihkRHk5+XJ1sFSOs3tzfC3tmFiZgarV63CxMSEyNjX50fK/NYV5eELgzfVg6zsbFlIW1ubMDg4dFS+1laMjI0hNydH3uRqayswMDAkGaa5pdTa2Y6uthYMz0zjLSevkcWeuhwY8MPpdMk254GqSvQPjCIl2SXgXtoqsxfzNB5fqnoHe9Hc2IqJ8XGp5xsjbXKh3pqamzEyOIbZ4AzWrFkjixZ1YLZJdrtRVV2OwaFhJKemICcrWx4s3d0dGB0NyJYf2zJD8OTEhGSCXkiHCwhPnnF8OlvaEMQcilaftIwOE49WVlRgYHgYrqQksS8+WAicJuCfsSx5eKijuR0zszOL5OH4zc3NIc2XhqbGRvj9PZiYnULR6iLRvWlLPBEbnpuTBXwoMIjkpFTk5GTJwtPd3R21N39/L9paWzEwNLRgfCJ64wEZrgfMTE5+uLDSrhfaLHXP9YIHR+ZmAFdqErKzstHV0YGuBXS6enrQ3taGiQlm0I7YAceQJ+jM2I/M8kz5xicmwYzMg4OD0bnh8XB7MoTyQ+UIjA3LdiV5WzpPe3t70dTYjKmpgNDherVwjDl/KM/42AjCBkT3C+kQiD8XDkub/sE+pHnTInbc24v2+UMcXA/6+/rQ2NqEyZEJ5BfmA4kJaKg9Av9gPxxIkG335sZGtHV2YnZ6GievXi3zlJkJODc4T2kvlWVVGBoZlRia1GVEt00YH5/C77duxe79u2AkuLBl8znIzysQXnJzc6I2S3lEb319cpqa5xf44OG6Y64HCQkJqKqqwsjAEFypbmRlZkXnxvj0pGTQpu1xzk3PzEimbm4pLp0/lKelvR0J4TBWrV4d1T3Xt4L8fLFfRhniGYO3rV9v9ag49usaOIC2+n1XXm5cfumlRkVNpbat2aCzs9P41C2fMk7fuEEJ3DPbv15/N6xfbzygSDRKnIcOREy8iQ6X0tmqxvKQTnurOnkksXq7NOBd4nDYl2UhpkVDh7LoMDSC91HgUoiN0QG0bdFp1eDL5uYMnW6J29PJYweg3d6qBuGTjg4TRFtSjY/YwQKcUaxxJEC7pFQN0K7XAOxJp7VRbW92cFKNjfWxWIxea21t1AK07dDR4cuIg9O1sUPnZxqAtuDyNGDyns4eY0SDL9PxOjs9uQwHWlxcbrz3ve81Lr/sMuMfP/Jx459u/oxx862fkb/7i2OD+pvbW5XrL+2AQG1VIR7Vjl2r+iAetaS4WNXkmOuO28fGbbg7/vt/8PP778WFF16Cyy+7DH/3nvfgtNNOi/ok+JZxpKEB+3bulJ+/f3rqT/jgtR/CN7/1zRXFLhz7Y119xxmnnYav3HEHPnHjjeqG8dq4BuIaiGvgddBAWVkFvv/9O+WAxxe/9GWcfNLJeP6l51FVUYXkZCfe/e4LsWXLea8DZ68zyWN+FFrc0Nrcanzykx83fL4sA4D8KygoMPjP/O71eo0rrrjS2KP5ZWFB4q9+WRfdnwwxxJSqEMnPNxJVaWxUh6jivXyjVBW+7etCNvEtXJe9V0eHNHRttFErJicNhrJSFdLQRSfRRUmx8wuHv9Z0v+r27d+vYlXqdGNIOuRHVXS2xHsZykpV6uvrtb/uGT5KV2qOqO26s7NdGxHkSNURJRmG2NO9qXNsdJF7aurVdMiEzpa4i6T75a4bH/5yWRi5I5bwnd3dxsCIOqrLwNBArFuj1/jLkGHEmD3l8isuN4pLlv9Cb25t1a4HuvlDOhxnVbEzT6uq1PbGNelIjX4MVXwsrVuxwyNr1q7Bgw8+jM7OVjz/4ou489vfxnXXXQcGJv3fr38dW/+0VfZj//znJ3HB+frAxa/z8z5KfrF7Nno5+oHBi1Ul0D+I8cmjwZdjtR0c7LU80GG2px9FVeg3oM9DVfzDvUhe7l9fdIsZJHjRxQVfSEPHSyCg5pW/4Fu6uhb0uvwj+dDRYVBaZQmHxVepasOAwv3j6szJtXXqSOrsv8uv7kMHzmYfOsA52/R2qPXm7+qCLjNyW58aQC/yaOj0Dw4jFIx1vIF3R0pbr5rOyNCQFoTfPzqIgCaoQH+bWifkZmhIPT6MgGIV6d6Up+mIOgs3x3hck/FgpHcI0+MKuw2HMRIYN0ku+8t5fvvtt+NrX/saPvjBD+LpPz+Nc846a1m7Xhvrwci4NR12yHna36+ey5yjujWjsbl+GX8LLwQnptDRqx/DhffoPmvghLrbl9fTEc7I1fx3ohc9jBXQYVAFkKlRRDBkA0is6YOQTV1JDgET4RBSjwPkqwVnE4isA3CzTYwTbDr+X6v6cOxDX1FyzM6gKy6n5o1hfqFQ6cYOQDusM0oFjtGUITyle10zW6r/8hCVqjj0KtHOnyTaicZWQtos6YzjlqhiVep4gEFVwpouePcs1I1mkxhOTmFPxInGqOcpxv/+7/+WTAs33/QJfOTjH8WWs86xZFcjitynXfwpUNKcJQ27FcmJ1hhe9kGMosvG+mWXHtsdt4/tWIidaG2JY/v6HXfgw3Ef24k2dHF+4xp4U2iAD7QHHvgpHn74j/jIR67FLbfcqo3f+KYQ/DiFULw6HGfPb5LbVe+2/KnOrQFVoWHyn6rwuK6q2KFTVVsBJhtVFdJhX1YlsvWg5oXHgnXyMJ+Uis7Y9Jjkh7Pig9ft0KHuVXRWSp7Hn3jKGr80L4RuDCmPFS7M1EOHv0MZPsqOPDyWznx4qkI6qiJ0etV2MDo6ppVHNzdYTyyVqtDWlHoLh9Hbr56DlMevaWNnfHSxPMmnLTuwwL2aeqBe2Ndjj/0W737Xu9HS1I1du57HV7/6NXmo2bED4st0W9vEgKp+pZIO9aIqKzFPKSuxbCtZjhvHtpLMvNH6uvvee7F+7VqceuqpgjFh4NHengEwrJEvLU1wK5WHK5HsSxFcBzMVdDS1oKO/B6vyC+QBUHygBH39XcjIyJEwU8S1dXZ1YHxsXLBHNL7y0kqMzUxIaC7iY+oa6oROeppXwjAdOnwIjQ2NYtTc6iUGpLGpQdoUFOSDYXTKiqsxNkFcUb78tC+rKIO/sxdISpATUzSckpJSzM4GhS4xdrV1tdLGm5aKxMRECXjaUF8viSsz0tOX0eEiU1Jags6ubsEvRe4pW6QTJhgtLy7F7Nys0Bkbm0DNkWqh40lLhjMxCdUVtWhubRLsEnFFpjz+Hj8K8/LRPzAgySB7+/qQnZUl4YWoe9YTR0TdU2/V5dUITI5jVWGh6Lq6tlp4SU52iQ6o64b6RiQlOJGRlSGYQvqoAtMTyM7MkknLl4Hezm5k5WUj2ZUswWUXjnFbWwtqqmuR6EzAqlWrZcGprK4UeZwpSUhOcqG2ohYVteXwpKQKhosPlvaONgRGh5GTkyuLXWllOfp7B5CZmSHyMNs5F8G5EDGO6TKxSw+UIDQXQn5+fpQOeUmYA9wet4xPXX09UtzuKJ3Ori6MjgxG6dQcOYLRwWHkF+Qf1VtnL0LGnOAim5oacHh/OZBoCB6Lum9raIraLBczBuqtbahFSpoX6Wk+SUbZ2taCoYER5OVF5Kk4XCIZtDMzIvIwWG63vwvBmaAkeSXerKT0EObCQF5ubnSMKQ/DvxHHxiSVfn8/sjJ8ghOl7bS3daKnr1cwTtRPSWkpevt6BEdFnBTp9PR2IdnlFnxjXWMjykurgfAMMjKzBEjPuUFbyc3JxezMDCoqK1FX0YCs3DQJq8V52tzSFJ0/xIEWHzqEkYEBpKVnwjDCiI5xUqLMfcpD+0pNSkVGXg4G+/tlnnKOZWSmg7ivkuJSdLa1ICUtVbBsS9cDkae4FD0DfcjPiYS0Ejo9fjjmHBLWjbbzu98+ittu+xpmJqfx7e9/F2eevQnDQ6MyfjI+pZVo6mhCakqqrAkcw46mJkzNzIjuSae0vBSTY9PIy8+NzO3DFega6EEiDHg9qaDeKiqqMDc1g7yCfJkLC9eDMHF5pZVobGuSUGNcd6JjPBGU+US6VaXl6BsZRF5Orsw5macL1h3KU1pWBldiIoiNXap7PsSra2vR2NyMjRs2rNgjQLvNumKUTsCO6M5ITUuTLNRkvzA/Eq6KgEyWrIws+NP90RiBWRkZcC3wLxGIm5HlExeByxVRNTNcM8uu6WthJm2X24miglXSJ/s26ZjRk3OzczE+EhCAJhsxxqYDR0NnOZ3p8GV6JEuw2+WSvs0+vG5PtF+Pxw1fVobUE+xptnGmRHjLz83F0MCA9B+bjhNej1fuJ//8Z/ZxVCcZ8Pg88GVEdES5zTYuJ7OUO1CYm4m6Bsa6i7RZJI8jcp3XGA/P1JPZh3lPTk4O6txN0hd5pa7NNtQBS2Z2JgJDQ/BlRWI4Uj4uDGaf1IHP4xGeUuZjeZp9mHR8vgwZhuzMSAoW+gOibVxu6SujMAfeEX9UHtoB+TfpeD0e+DxeWYTMa0Xzoc9MOvzr9LplwSDvC+l4vB4Jk5Wdm4nxoUCUTl5OzqKMAW6PBx6PC46wC+aYmrxSVhYCnZ1pTlkA+V10f9SUhOecwnz0Dg3BtB3K45m/n/eQV4/Ph7T0tKiMq/Pz5e3fpEO7diMJ1HmUzrzNmsGgM3wZ6O3th2feDijPUjrkj4uqqbfVhYWLxpC8ud0OeLNypU2Wz7fYW5OcJC8BgUzOn/l56/MtmqeiN68X6ZmZoL1Gde9AdM5RHofDiaz8LPEPc0xN3bK9hDHLz0YXpqNxIJeuB2JvWR54PekRm1tgsxzjhoY63HrLLUgKAd+95z5ceP55EtXIPCRFOizp2emYDgVBHo7q9iivvO5ypcraQ73xX+HqSOoYj8crtGVMPW54czOkD/JmysP2pJWZn41JkSdiO6buzTHm2Li9HhkfkzezD9N2OKZNSUngPGLh+CxcIzN8PmRnZiJgkYlAbno1/y09Jnk833lctry83LKLAyUHjNKSlQXiWRJbgYqNG9Ybj2gA2rqj7zyqHAioj/sPDKmP8vOYuI5Oa2u70dioAQkPqY8Z202cqgNkCq8KgPbU5Ixx4IDaDkhDd8x7QJOYkyagO9I8IuOjTsi4b88+7dF2HcRB5NEkTu1hYk6F3mgHuiPpne3tRrcmo7HQUcwP0tHZJOWZ1sijs1nKEuuo+kLW7OhNN8Z25o8dOvsPqGEfojdNglYmgeUx+oWFEA0e3b/iivcb+/fvN/psJOrV2UFtZaUW4qAbH8qjS1prR2+ECKlgRtRHe7c6SMVCfdn5vKIZtH/zu98ZxH5ZlXPPPdv4+Mc/qZy8Vve+Htcpy0OPPKIkPTWuXhQ5aDQQVdEt4LxX14eqf7NuJeiQDx0vunqTH9Vf9qHL0GyHztJFZClN9qFboJfeE+u7rg87vHKR0BU7Y6jrww6d8cCMshsuVDqZxmcWZ7JXdmhRSb2qZ49hTE3p6cxOq3uxM08tWIxetmNLC+nwwfIvt99uvPOd5xpPPrk1mmVap1fW69pEmVJ80PVhhw6joEzPqm1lXGfXc3PLHvYKtm1VHffhEfo6LrnkIrzvfe/Dt//nf9DR0oL3XvJeubbw74UXXYjy8nJwO8XcYns1vzD/mvfoTlaTl+d27VKyxD1m7nmrSnllufZIc0tbi6oLCUzc1KRO+FdVWY2JYOyAs2bnOicufQ06p7QusSqj1Rw6dMgkGfMvE4C2t2sOQWgcztx2LK8sjdm/ebHL34HGumbza8y/jz/xeMzrCy/S96gqtAEdTmrPnj2qLqTuQImaDoPsMnCwqux5SW2zvHd/8U5VF6gvq8LEjBonwUhDqkI70h3IqG1owJgGG7Z7714VGamrqq1VtuE81SU03a2Rh/fX1jVq6bS0tOE//+s/8b6LL8amTRvx0ku7JEixuUVL35Wq0NddUaVOnMpA5bp5SsyjqvBQh45OXWs72pvUa9NLGrseHQtK0mkVL8dad9wPtrVr1+KCCy4QuuFQGA6nE3OYRVJSsvxlhSPJgWRHMm6++Rbcftvtx8rj69aeJyJ1Dzfn4h39mLxygVWVUJh4OPVQ6OgQJBkMqnE4TDKqS7yp4tOsMyeg+X3pX4cGwMSTWJMacKgdXN5Suku/U+tJGgwaE3fOOtRYnZEhBaB2nmiYdqABD6lOoC3l3eq7Djs2PT65yO8Wsx9dFlHepNGbNNHi2NQufAKa+wfVL31MdKnTm8upnjvkNTmZAZDURUdnUGOzTDSaBGtb4oPiqd//Edddfw04n5/dtQsfu+HGZela9NLoE41yPdAFBdCtOdSWbr3wOByg3MdTkp0rn2hUbXk2uf3GN74pLZme4Ps/vBfP/vlpm3e+8ZupjvuT+/WaiNR0uJrOVitp161dGwEsKwwkQ5Goj/2uWbt2kVM2Fq11a9Zofy3zUIaqMCGgrvh8ESe9VTse9Chas9aqWq7TWa97IWAbVaFxr6LMiiKHHBYcjIjV9Pzzz451edG1NUVFSt3ywIV5qGXRjQu+6GyJTdevU0dAX7tu3YIeY3/cuF5/+mydpp+CotVw8zCQoqzboOaFtrb5zM2KHgDSMQ/YWDVcp9EJ78vJWXBCJkZHdubp2zWn9ng4K2/16mW984G2bds2fO97d+H0M8/Es8/+BeZBjKaGFoxNjKNwzSrkZ2aLDenk5XqyerV6HtpZD3J86sS4DkdKTHkWCujN4WGahVeWf96osQNncsqKxwxecYD2wlNnFJHf6xtbkJnuQW5+oZweWi76G/PKiRQE2XwImKfH3pgaPcoV3yZ1D/yjrV/fTycSryeUHYTDkROO86dYX99R1lM/VjvgWDB/3r/9+7/hvC3n4Utf+grWrCkSQsxx9osHfoHS0jrZ2UpNdOAfP/YxXHDByoQblG1vRjFZcEpbL+Gbp8Xx/YaMoYcdz+3FNdd8QDAuHNhLL/17nL7xbTjllFPw1S9/NcYdb9xL47otxFBIEu2pJOhoa4NuL7u8rFK53cIJpfObHDp8WMsL81+p/Dykw35Uhfv2Oj/cocPlSjr0ETz55JMqMuIf0AF8mdeNPFsVykqsm6rYGZ9fP/YYRjVAVd340Eeq87USVKuSh3UcQ1UhPq6urkbVRJJUqhqQTnm52g6ot16N72vvyy+ryKCtowvbtm9XtqGvVac3ne5pb8zJpip2fGx/+MMfVF0IlpL5yFjo4/rApZfiwYcfxs9+/GPcc8898lBrqmsSefbvPyAPNQfdNq4QgnNh/O43vxY82eGyMuW2NuUx6Vgx9MLOnZI41aqe16k380UoVjvSaWlR+7mpN0I2VIV+XxUd5rjcuVvtj1X1H6tuRQHaRLK/5+/fg4QQ8MlP3oSnn3we3737TtzxH1/HNdddh+98+1t494UX4hTN9lAsRl+Pa/f/8Ic4qbAQG049VbAaL+/eizb//8/elYBHVZ3tl8lkMgkhCQkYwiJSfkopIgUExFJEfn9KrcXWvbi1VX+3ttYutu7WWqttrQultGqtu3VfAVH2LYQkJCGEkISQfd8mkz2ZzP2f95u5w5DMPWeQWPV/OM8zycy953zb+c45957zLeUwegzxN9q9e7ckPTRsPmdXZi/Ozs1DbVUpxk+Y6HMApuNqQx0S4uJ9Tt5794rDa0tdM8aMHSOOoOWHfc68dGBsaWlCVtY+lJdXBJx5+dTHBIB0amVCyZKKMhTk7EdpRSVOPtmXLLKk8DC6eroQFxcDp8OJ3WmpqCguhyfCEOdxGn3wwwSjKcnJaGpuRlZmJiprKhA7fIQ4mHJiZTJEPu2IM2VZBfbvy5E6E8afLAOSkS3q62uRlDRKfF127dqF6spKSedAZ2sOuLLSw4KHyRU5ODLT01FeUYXoaCciIiORk50tgaGd0VFIjE9ARWUlcvPyUF5WIk7QTPzICZw8x8XFidx27NiF6tIy9Nn8/BQUgElA6Sg78ZRTRNZ0+CXPzuHR4pSakZmJqoYaeL394qybsTtDkim6Wl3iBM0Jk86j1Q0NSE5KgjM6Gru27EBZbSWMHq/0cX5enkQdaXO7BY/JT3FpOaIdEbBHOmSCqK2sxbCIYdI/XBQOHypBQ2MDUlJSJDpN7r5c8RFMGDkSTBq6bftOVNVVoru9G0mjklBUUCBOs0x6ysSPzCq9O2OPJKqMtNkR6YgUPJWV1eJATNlSRkXFxaivqxG58YGjurwcbe42JIwejRiHQ/CU1VTC09UtSV3ZprS8Ah1uN8aNHy+6WJifj8MlJZJIlRPQ7l27UFNRhwhnhDjR5+3Px+FDBaisqMT4CROEn7z9+9HU2Aj6IUXHxGD3jt0or65EZ1sbRo0ejT0ZGWioqUFHZ6foW0llOfKz9qOsuhxjU8aKLu/NSEdPTyeGRURiVFISCgqKcPBgPiqrqzFh/HjQCIkLRG1jo/g6UW57MtNRcrgEkVFRGBEbK0lRy4vL4e5yI3lMCqrKK5F7IBflFZXiGE5+0tLSUNtaB6c9SpJu8uGMTsHUt5NPnij8HMzPQ0Njk2x70jk5PTMdlVWV8PbT52+EZEBnMuCezk6MPukkUEezMrNQUVuFpPgEeA0DaempyNl7AH9d9Rg++uhjXH7lD/HN8/4b3W39mDBxvOA5sH8f6poaUM5kwpUVsNs9gGHHMBvg6TMwzA50tneg1e1G0ujRaGlu9M0HlRUYGRcHT18fdmdmSjBsh9PHDx3bD+Tni0M3dYkPhFWV5ehoa0dC0mg4Iu3YvWNF1PH1AAAgAElEQVQXKmrK4fXPXdnZeeBDAyOHUN9kLOTkorrkEIYnxMPT5wGDClQerpKkrkxoKtFMykrQ0d4RSHR7mAtbrS9pqIN6vWUbauor0N/tmyOz9+WhorAE3Z4eGQtcCAsL8lFWUomTJ06Qh+QDufvR1dWtPdY5pjUgLNvJMCv95YnHjPHjxwRMUVdccYlxyqSTA78vuOAC45af/CRMaJ99tUmaRKM0c2WCT1Whf5kuSWhm9l4VCDFn3r49bVCdYAPmcBKNpqWlBfpiEDC6FPTQv2wwnuC69JULlYw0mBbCUJlgu13+RKMKny3i0SVc3Jm20+jqOdrUOJgOmitnZw9O6RHMD9P96PD8/eknDZfGBzAzUyO3MNIKsQ8HmWAHyYgyzQyRoiSYn3ASjW7+eHNwk0HfiUfns8X+0flBbd++fRDs4AscG2+++WbwJd/3IJ7DSceUmqbG4253G+mpar/Jg7kHtfw8q/BppSz+9KeHjaXn/o+xebO1fPMKD4p/2fvr1xjXX/+/xvXX/Ej+MzHozbdcK/e2M01SkAyO+m4YBvnZt2/fYLkFXVmzZo11Si0/7LTU1ICLQVDTwFe6MuXm5QV+y5dguvxpu3QpgUSvB4zTYKCU3bp164IvHff3IT1ju+22X6Igvxjvvv+2vHpO+fJknDH/DLzyyquy2F533XWSKv655547psX3s6oczhlbj9eDKJvCBoeWcgqjEPLGp0rtXrgGDt8kaJU3Ij7+uMSlpcW0/FPxpKGVOPikyLcOy6KBIe3CoIWWbiorTlpOSqYBBT98Aiatqj4KR26CS4FHCyMMXWlrbRU6o4cPtxSt0GF5N8wb4faPgl8aVdB6T6kHYfAcDj862WrHMSBvQnwDDy6U958eeRzpqTvxq1/fjkWLFyr1RCxnbTbZyfjDH36P5uYW9MODYR47zv6fJfj+pZf6tiEVciN+HT8cXzRWUuqBZmwInjDqBMsj1HcdrZSJ1BnCs9YhPWNLSRkD098qIzsbpSXlWLjwHOGVhKelpmLSON/haSgBfN6uhWPuX1tRpiSbeZ5k0VHU0p0hsGlLa6sCAuBub1ee07ExJ2j2g6pwslEV0qGjpUUT5JXwGVZMVQSP5lyrta1D+dBAXls0PoRdbW1gH6lKu9utnqwA7TlQG2ViLsQWyHRnimymq9PsdsOtyvcFiK+pBQmBy7pzVMqsx6O2GS4pU48NnuU1a/IMcmz09anNwWs0/oxkSjcG3U36INWdQee5jM96xx334FvnfxtTpkzE++vWYMHX52vxmPMBw4TdfvuduGzF5Vj+3fNxw03X4/sXXyzyF10J9MTgLxyjOn5Ia3evun+o+6ri6fFoffu4gPKjKjpd4sNnVV2dCsQx3xvShe2yyy5HSUkx/ueb38QVl10Gmqgz1QL3yRctXAgq+uXX/fCYifwsG6hVA8jLUztF09lSl4iPe+S6BafRpU4iyvO92tpapaiqy6q1CU15rqUqxKFLANrerIbBs8CifLXciEPHT7MGD/koKlI7jzY3u1Bfr3aI3bZDbQRBPOxDVdHpANvqDDbCwUM9KCpQJ78tKFA7KxNPQYG6f2orqtDJBwtF4XmKqrB/M3bvVlWR4MndmkS9xUVqfomAwXdVpb6qSqvXBfn5sqCsXLkS3zr72xiVnIAtG7bgyiuvlgcfPgDp8ATPB1zcFi9ahO8sW47ZTBbqf0vTjUE+EJQUqx8aaNyjGz/1mjmlq7dL5K+SG2nV0cvzTFXp6PCgTJOwWdU+1L0hXdj4mv72u2/LCs5F7fVXX8HIkUmorq6Gu7sXb776CqZMUvu2hCLys7qmc84WujRP4fAOg9erXh7ZCaptLuKx04v7OIstqh8Rxw9Guwh7NYlM6b/txRAQopEH3wmjFLvEbE5n8p6uT58W4tI9vNhsviC3KrZsOj3wMkiCeljzSfx4S79db0quISMsEuigrR497EQ9qEhNllBdglC+Je3YsQ1nLVggGQnWbf0YP7/l50ePW832IakkHR7NfKCbCwhHp9d6iTD4RBiCg15XenVzoIYYOmjrnOM1IAbdHtIztkHQ/fvw5oAOp8MGwfgML4STaJSv4bQYsiocEJG2SNgVmshtBT69qQrh0LHZqvA+i6oOtzhGKM5e2J59peqncPDoaCUO1lHxPBR4yI+Wlp4u9HnVctP1MfHo+lAnV8IYCjzmFpVKtjpaw+GHcpWo9go/KR0ewtCdsYWFp7U1cLZMy+zNW3fCMPqw+MxFSJ7gOxPT6YEKz1tvvY777vkdlp53Ln5xyy1i3UcZDSzsY26bqsdgG6Lt0cr5gG9kKh9Pngd2d/UgXjGWKXuOYxUtOp3kYtPHeUeBh3Lj8hilmJt0ek1+ejvU88FAWet+h7Nk62AcdZ+M8lX9zDPPxLgJE/Dgww9h165tuO6aa7Sv6UcB+pz80D0tqhSHLEg6B3W2eF8dBb9UwGERaiDcutNtCURqYJiHuApShFYzRYVVPeam0pXy8nJlFeI4XjyUmw4GIvR4KsvLtW9bNEXXFdKjKjpdYnsdHm6HcWJUFZ1MwpGbDgbx6+oQT3OzeotdB0Pw+GVfXFSEP/zhYWzatB4bP96Ee/5wPzKyM+RsU6eTg/B4vRIt5FtLFuPNt9/Bm2+/jmuuvNJyUTPlPQiOecP/X9IjqYfygBaDf9JYbbhG3zgX6LZwdfrIzQ66VagK5xS68KiKTq+5i6STmwp+qHtDvrD96le/xh133CG+EXa7Dd1t3fB6bHhv7Qf43vnfQWsYhgWhCP1Mrnk86G5vB6MEsPAgmx/zqZjf6WNm/uZ/Hu7zOgsV58CBA/IxlciEwacYFrZhQGAzACsfDHiQKtlt/RMh2+zZtUtyM5lteD8YD88zeL7J/Wri4n1msg6mTfzU/LQRD+9Ltusef5umJtCplkGKTTy8T1gsws/+/XJmyu+CZ4BMiI++bSZtxGPyHNwmOzvbEg/b7MvORmFhoeAgbhOGyU9HWxu27dp9hLYeHz+sx/bE5aNlR0AGJgxT1qzD898DhQeP4BG51gXaCIyMjIDRRjDPwXi27DiCh31r4iLtwo8/KC3bs5h6YvLD/wyyWxMka8KgLph4+HvX7t0B2ohH+sffp1zQisrKxLfNxCN01NUFDviJ56MN69HU5DMc4O+BukTH6927d8E0YjD5MR2yaZRAudEoIIDHr4+0EmQh3A2bNqGt9QiegC75t67YnnBYV9q0th4tt44OuU+/swAevz5SJiYecwy+8urr6OzuoKKChspGrxdr33oHVQ11oB+k2aaJePxjjDB4nc7KxMMg4Xt278b53/se7rv/Qdz9wB/x0gsvYcyYsdidkRGglW1MuQltXq/0KXXfxEO+zLFs4mEAhEN+ftjO1JPgNoTR0tIq5+GCx88z6/NDubFOtz8ItfRh0FhnG55r0abBbOPDU3fUmAs5TqlvHt/4qampk4AN5nxg6pLZX8RDZ/JB/RNEC+uyf8z5jrKnHvBjyoT8rPvoI/k9VH+GdGHbs2c3nnpqNdatWYNXX30VX/nKV8FwcouXLAadmUvKKvDvZ58ZKto/dTh8W6MjJi0OWWhkwMNf8zc7tK2jFY31PmMJXm9ubggcuLJT+eRU39gY6Fi32yX3zbcrHvA2u5pQ6n8r4OTkaqwLTGjEW1xSBjeNKfzGEp2d7ahpbgQP8Fla21rQ294JtwTAbQKDHdfXNKKx/gitpMHtdoOHylT23l6PDMT6iirwkJilqKQY3e5O1NbXy2/SwvuExUJ+quvr5ZCd37nVQXlQLqZMyFdbW0tA2YmLdfhhGxZO6g6HI4Cn090ptHISYH1uT5HX6uraQBsThomHT/q9nW4U+A+dOzxeoZX1zDcW8uMmbL9BDIMZ00ig0e0SOjjYTCMVc/CS16qaugAMto2NcQrNbMStJpMW0yCktPQwOjt9fc06lDXrmEY2rEc4vGbKwNQTEwbv86EvOEoN6zdXHTE+otzYh/WNvv5xN7tFbs11vrceWpK2u1zypG7yI7TWHeGntroaPT0eVFf7MhpQnpQ76/GNXfqU+tbUHsBDGnm/scJnnMTFi4Y7NJQw+WlsbpY69f43sPLySvS2daC0vFTOT9gnpL+qpj5wnlJfXY8IRKLer9e06BR6/dHt2zs7RYZsZ+JxCZ76QP9UVlYKv6WlpWhsrEcfHxzsdnhskMWtsroBZUUlaO92B/rD293t59knR/LHhLR88Lvk2+fjttt+g6uuuAJPP/1XTJnmswkgnhinQxz8TR015Uad4GLPCZoJgU19a+/uhIvjwz9+iIc6UV1VFlhgTH5N61Di6WztRGVZsQQgptyqqmpFblxIiIt4OGYa/PMO5wPWMY2piKe3t0ssTik3c5xSryljFuJxtbeiym9UI2Nd5rd6eLo88PQTTxma65tR6+9T0eG6OtFvwuA98kM9IF0sA+dI6ltrWxto1MTS6W4XneW8wsL25CcqjPNJaRDun+P2hAsCcPeddxvfOOvswJWlS5cad955Z+D3istWGD/60bWB35/ky8GDhcYVV6wwvvGNBcZFF33XWL8utDMknSSXLz/POOusbxh/++tflYnurOiYqnHQ7uvvN0oPq5N7uppd2qSN4iA8wPExmCY67eqciOm4m6pxrh4KPExwqEtyWFpePtjROIgh5gN77Y03gq4M/srkkbq8YeRnkEPzAFA6uYXTP8zJp6WltHwA5qN/MnGnDkZpaamSH/JKh2VVoUN6bm6uqorBxJaq4tO3UlUVcWbW5YY7XKqmtbK63Hh/zRolHuqaVm7lPtk/8cRfA07PdHjm5y9/fNhgLjbqpFUpL680LrlihbFs2bnGxq2h5xO2ffnll61AyHXmWquurVbWYdJNHT+i1woozIGmS8y5eeNGbT/rxgbxVNfXKigxjNp6PT86naU8dA7nSiJC3BxS4xFuQTIu2IaPNsi6yhxt8+cuwP0P3Ce/L7/ycsQ5Y7H6qX+Eu+4eVY+p05nXbcqU6fI0lr4zFfTXePbZZ3D11UfcCF566RX88rafY8OHGzB2/Fhc+L3v4fTZX8ODf/6L0ln3KGQAwnHQHtjmxO8TEjghgc9GAlV1NVj5+Cq4m2vQ64lG4hgnrrvuZkyxyCTBrcTHV62SrbIbr78OF198qbzdfDbUn8A6pBIIsdh94ksMixLjdBqFh3xPhHxju/e3vje2wsKDRkJiovG3v//9E8P/1a9+bWzfeiR8Tnp6jhEXF2d86UtfCsDkE95JJ51k3P7rXweubd++03DCZuxMVYe/CjTwf2EG7Zc1GbQZukZVsnJytCnamQ6eb3+qYsrUqg6fvnQhjtLSM5Shrghb93R14MAB7ZNg6WH10z6fbHV4eJ+4VEUHgyHCdG+xDOu0LzNLhcZI04SxYuPtmtBqDDtEelRFp0tsu3nrVhUIkavuSXzdOrXOEsHHH3+sxEO91oUZ+/jj9UoY1NecnBxlHeLR6fXmjUfespjZOzMny2CIs+Cs5vv3H8HDOeKxxx4zZsycYfztb38T/LyvCw2le9Pl2xjpVRXqWmWl+q1Op9ekX4cnnPlAh4dvUjo8lIlOLrq38nDmA5VMQ90b0jO2ZUuXYvE5S7D4zIV46I9/RFNLC4ryinDP/fdj8cJFmJgyDj+46qpPvDA7YhxYuMiX1JRATj/9NJx33jI0+88ceG3V6tWor6/HRZdcFMAzc9ZM2GMdWL1ydeBauF90VpFaOGH4sTFBqy4qhS7nEfepzb19K5qYAvZ4C5MKqkJUEb7Wj4oH4JqoFDp5HC8fgfY8i9GMgvy8LG3/BOApvqhtIhUNg27pEo1SrtQFVRkKPzbCt6lCyTFXqWbwUF+ZoUFXdPrmDUpsS4vB2ad9DbNnzzvKBL2v32f8tHr1Kpx19tl0pMTWjZtx4403Cnre1+HZr3Fa1/HB+/T/0/Uhz8R0RQcjrPlAp/jhuncepx8bLVZprzCURS/BY8Fms+HF51/E3ff+Dr+7917ZJmRkd4fDju9+9wL85bHHlH4VOlQP3Hd/iCp2zJozN3A9PS1Nsl6fdtrXAtfou5WSMgnvffBe4Fo4X8Jx0GZkbFUZPToBTqc68SYd23WDyqFJCkgYKt8X0jgyKVm71aJLcngSE4BqFFlHB017Rw+IuTdQhrFxcXBqzON1tHKCGJ2UNBD0Ub/jYmMl0vxRF4N/eL2YMmmadvVLUcW9BKRvdH087qTBSSqDSeH3lGR1ndHJ+j6e9BV1slLBEyJhZjAtI+NHwu5QTx8pk9S0MsmrLrnq6KSRYgwSjHvg93Gj1Xj4kLR140b8+KabsHjJEqxbt04SfQbDGR2fBJtTPeInjx8f3GTQd+q9yqeVDUbGj0ZcrFpuDg0dNocdySOTB+EPvhDOfOCMVc9L0dG+7AHBcAd+Dych8HhNcmLT8GQg7OP5PaRnbMGE0IKnuLgYnb29mDp5CuLjfQ7IvK7zawiGo/pO0/b580/D3ff+FpdefLFY1J0xb548sVY1NBwV/+LMhWcgdWeaWJWpnFeD8YXjoB1c/8T3ExL4QkjAHzjhC0Hr8RDp9WLTli145E9/wpgxE3Hf/XeKG9LxgDzR9oshAc0mzLEx8cHatfjed74jjbh4nXrqqZg3e3ZgUfvWt76N22+//diAKmpv3bwWU6dNw6UXXhioxeC6jpiYoxY13vT694FMU3A+xfG76sN2qt0Umv3SF0RVuCWg23ajb4vqLYi5ufZmZKjQiB+OLklobnZuwEw6FDDKgibPqsItAx0/9PdRJTSlCfJ776nfnpk7TrelRloD/RmCaN7TJeYsKS7W4nnp9VfR4ffHCoFGLmVkqBNzEg/9gFRl144d6Fa8pZKf7Gz1tmj2vn3Yf0CdaHTLpm0qMkSmGRnqGI7UAy0/mrFB14aPNP5L4eAZpLNeL9gf3/ned/D444/jL48+gZt/dq1yUSs6kK/l56233lLKjXqt0zfqdU2dOjbpIH4GYCWevDx14lT6jhGXqkiiUUWgZOLRJa1l/kW6Y6gK50jOlVaFeHSxVq3aWl1XvxNbtQq6zsln0zbfQMlM343de/fguZdekhp8sTcXht7OTuzdm4Gx48cEtf7kX+n/8cijj+Hl518JbBNx68nhdKI3hKDp48Vibl/R+fTr3/g62jutozRUlZUgPzcXVVUVGDduQmAR4/YjP5s2bRJHQ74BzpgxQ/aJzU5m5BV+5xlCv2GAZ1MTJ0wAsx5QFqTjtNNOk/uMmEDfk4VnnCFZiU2fD8Lktt22ndvkvJJRAHhNFkv/OQrx0LpLAs56PbLFwjQg5uDg9ggDrJIOOos3tLdgwaw5kujTVPxp06ZJeCsOhta2VgyPjsb0EHjor8Lkg/B4YXc4JN2IiceUCQc2A5oyAsbCRYvACOJmtl/iYSqNtPR0kRvrkh8OMHOBmjdvnkwwdNwl76Sf/JgPECYe8sPBQD+YJYsXizOxiYfbW5TvztRUSUTKfh+EZ848VFRXIDs/T+JnUne4fTMQT3ZuLjqb3dicuhPnLVsm/lTm5DVx0iQkxsUhjYkfq6oQETEMs2bNEqdi9qcpe8pt7758REZ4sWDBgqP4Ic5Jkyb5kziWSb8sXbr0qD4mz6xH5/mmujpERNiFH/JLX7wAnuIyHMrPhy0yUhKnclvS5CcpKQVTp04SPaioK8OWbdskAO9AXeIERD3g+XhUZDRmzJwp/Uc8Nrsd5o5Ibm4O7HYH5s6dK/zs3rMHXo9HvlP+1AvqJB80Geg3GA/7mPJOz8xEQ0uLwKduUB/NxZJ6zTYi635g7hlzpU9N2XPLj23IX3FZkUychMuFnelgGLD473//O2bMmIe0NB8/0Y7h0oaLZfA4LSsrQ+7BfDhLncJPbEwMsnJ8Cwf7eFxKivBD2ii3hWeeKfprjlP2OfU3NTUVHR0dcMQ4ZZdqEB4/P+SdcuM2nnnGaPax6ShOeJQB5W6OU+owC/Hwut3hw0OnfbOwDfGSJ55hjho1Ssb2wHHK39xRo//c4oULJWOHiYdyZUlPT/cHcI/E1KlTYPaxKXviyS8qkpeIs88+W/CY+maOU/5mPRbSNrCPqcMcH73d3Zg8aZLUG4o/x72wUXCP/uFh5OQdSVn/gyuuCEkbAyNfefmVIe8dy0Wu8PfdcxeefvopJI87eq952pSpkrGZT75O/yEsB2tNRQnmLlgQ2AblG+Vv77wX3XyV41senTq9HthtdhmM/H3Tz36KuNgEmcRJn7l/zomEJSkuCU2tTYiLjZPfnEzNOrzAevxwQmA2Y5bkkSPRHhUl1/mbyk1FT2IeNZsNsTFHYPA6P8wi3drShpiYGIFBmMF4HA4nohjWxnDIwsFK5n2TVuJxxsQgaXiMhMlxer1H6vhpS0pKkAWC51ssA/HExcQgxuGE3ekLgEvaBuKJi4mVM5HRI+NE4YPr8DsXKzo8s5gPGXwwMLenWYef6OHRcjbLhZBlIB5mbqaTN/mi3IJpNfGMTkpAe1ubZHk2YZgLKCIATmDRjhgxHuF3sw7/m3IbGRsrOnJSgu88grBNWmKcTpEl+44TpdACyAA3F2XCinM6ET/CDrsj5ghcf3zRAB7+9tqQmDhY9qSN53OUV2u7G06nj1ZTfqSJxREXA8dwhxh12Bw+GZu0xsX5Zc7+8UAyUpt8mnU4TgiL+tzW2YqYGB8tJl8mnphYJ5yOWMTEkidf/ySNHCmLi8lP/Ijh0n+i117vUf0jxEr/x8gCSjmykJ/gJ3v2PXHGJMRKe343aTV5HxkfD4cjFnRW/8kttyAnMxM33nwzZj/wIKZO9jlXk/fWVgfiYv1yi4kJwCFe6hEfiAmT9NuiIgP3zXHLoxTaUjDTOgtpNmnhb7aLk/NnD2IYlcLPT3AdOnjbh1FnnSI36oh5n+3JH+VGB3PzbDiYZ35niYmNRWdnJ5zsY5tNHiaC5UabBl53RMYITOpOMB7CELnJQ2NiyPHDNsTT3d2LuFgfP2Yfm7Lng02s0wEnzwT9higD8SSNjEdFlSOAf2AfU7eaWprgVrw5CtPH+ieUqeSxXqNZaHl5qThCT50y1W9yXCr/S0sPyT3+H4pC09AbbrjBSB9ggm06Pb7z3nsGAOPjjRsD6AoLDxsOh9144oknAtfC+TJt6hTjGUXWXDqy6jIa04RYZ0Z8UGPWTjPxffvVGXNpGr9//34lW6yjcmjmPZ2jJM2IdfwIHoVpe1d7l7ExqH9CEU08tbX1oW4FrpFWpQl9X5+xXyPb6spKLT/r160xdM7IBw+oZe/jpzlAe6gve7P3KvuHctPpyqHCg8ahQ+qxlpauzvbNDNoHNLpEudHsXFXS0tSZ4aura43tGvcFyk2Fh7p4/Y03GtOnTzce+8tjIeXHuUHnOlJ6+JASD/lcv17tvuDDc1AlEpkT6zV6rXOBIJ7Cg2one2axp+xUZV/ufsPoC845f3Rt6lvhYbUulR8+rB2nnCNV8w7ndB2tR1Om/zWkxiN8PeZrp+QWOtYVNoz6NDz5wQ+uwtU/vA4L5h+xhNy+dSv2HdiPu+64S6AsXLgQ48al4NVXX5ffdAF46MEHsCdjL1KSj37DU6Glg/btd96J719+uaraiXsnJHBCAv9hCTBk2MpVT+L5Z57CNdf+ANfeeCNGDFdnyPgPk3gC3TFIwNwtOIYmyqpDajzC19BPa1Hj9uNlKy7Da6+9gW9/65tITEwMfBiw9HvnHzEgeeGFF1CQV4Cf/vin+OVtt2H1qpV48/U3j2lRo9R4PmieEVpJ0dxTtrpfXKA3GsjJPbKNawWH5w2qwr1qcy/bqh4Do6qMOtjOPHuwgkEcujrB8Q5DwWGgWZ4lqApx6PjR0cHBkpubp0IjvOjwvLd2rRIGb+rwNLQ0aGWv0yXi0RkIZe/NkTM+FcE8q9MV80zGqh7PzxiIWlV4JqMq1OkNGz5UVZH4pW2tRzI0s09XP7UaX//GAnR2tmLz9q0465tLtYuaro9lnDbpjXtUxPLBvrhYbbBBOsxzRCtYOr0Wow6NYUg484EOD/tXJzeej/GjKrt3HDkDDFWP/GzZtCXUrU987bjP2D4x5mNsyGCt5y47Vz4Dm/Lsafp034En7/EwPiN7L95++03YYMfvfvvbwBnOwLaq377TA1UNXxBPVY02TxtiPL69fat6fPqkVaTKzylwNmQBhIPK3N+2qILuzjYfHqsKQMCIw6oKF8Z2hYUT2/VqPHN72/rEuMQKB6+TXx3Puvv98KKjS53lmRMlg7SqSkONPm09Az+riqfbAwxX1dDrElt3+4PYWkFqdrcEzlmt6rT7g0Bb3ed1M9i0VR3unuj8d3V4aGBTV6NeTHpbu9EZ50W0x4M3334b/1i1Cqd9bTa2bt0pZ5mkL0/z8MI6uj5u6+rUjtM6ly94tpVMaCjTrckqTjrMszJLON1qyVJnKX9VCWc+IBxVIRU6udHoQ1ca231B1K3q8axRF9TBqq3V9S/MwkbLpOuvv96Kj0HXqTyM/XY8hW9rusXNPEi1whNt9x3mW93ndR7A6zrCPJS3gkMrJF0dZ+QI7aDSDTrSSgtPVbHbfIfNVnVGxNoxYeJEq9tynXTQKEZVdLQyzxMtPFWF5+wOh7rOrDkzVSDknt1vAGFVUWjVyE3Xf4Tt0DjVTqFlmQaPaYRkRSuvOzXO19GKxLkmXB0eGp5N9Vv6mW0G/jccw5CTmoo/Pfpn9A8D/vncc5g0QHccsbpRqteD4cOdYjg2EH/w71OnTg3+Oeg7xe7Q6Bv1Uae3Nod6YePo0+l1OPOBTk+44Ohopc7qFkinQ/1gTxx8GRnKMqRnbENJ2OcB1okgyJ+HXvgc0PAFcmjmM7j9C0SvqnfzC/Jx6y2/RHdnK+64/wEsXbRIu2ir4B33vf8ncj1uOXwBAKgfvT8hA4xFZ67i3H/940MP4bnnXtC+Pn9CdJ9as07Tq9sCA3k0/WosqqCmoQYNdWmtFaYAACAASURBVOrtloL8YmUsQm47cM9cVXiesXt3uqoKigqKlOc85EeHh/vydSH8BIMR5+UVocdjfTrJPfVXXn01uMmg7zx/0Z1F5BXkK7cryQ8do1UlHH6ee+k5tPgTc1rBomxVhfxwe0hVqEvmuAlVj3pg+hqFus9re3dnYF+BWld0OhuuHoTDjxWdvF5WVoF3Qjjq81znxzddj7t+cwcuvPC7ePX197F08WLLRU0ne2716/Q6nP554ZVXVOxIjrUijb4RT1OTemu7SNN/HYzqpDlj+/Cjj7Q8i0y4WFsUyo30qgr7SqcH+fvzlXrN9uGcL6voGHgv4r777vPllBl45xP+XrVqFS679FJ8f8UKiWM7b+5svP/B+3jzzbexa9d2XH75FerYfJ8Q76fR7LEnVmJccjKmT5uO2BGxcpBKh2AW+l3t2r0LFeUVsoWRNCpJOpiJQ1mH513ssKz0TFTX1iB+xAgMj40VRWGSTJ4vxMfHg52eX7IfLU0u8Ufh5FVdXS0wiIOv6du3bwfh2mw2JCUNxsMFoOjQIXS2tWBkQiKinE5x0KSTtNcwhFY6rOYW5sPtahVnXzqSBuPhZMZksGWV5YiMsFvioVMtHT8TExIQHRMzSCYcLIWF+8SvKGXMGHR0d6O6qkr4sdmiYbd5kZm9G53t3eI/FIofLjY5OTkSzJo+fMOHDx+EhxN84cECccCeeMop4hhb5cdDmRmGgT0ZGTh8uIxxZ0S2HKSUPc/m6DtHuWXSSZj8JCaKnDhQg/uY/LjqW9HR3YaJEyeCD21lTMDodiNy2DBE2GzIyMxEUWERDETipJOSJFloY1NToI+rqmpw4EAuqqtrLPGQH0YMaXO7xfmf/UEnW5MWbgulpaX5Duo9vRh9UjKYpqWpoTGAh/yVV5SAiUCTkkYdxQ/hUY50fKcRkYmHOhqss6y3bcc2VJdWI8IRIXpAOTGwuKmzDI6wNysLTUzCGht7VP+YeGgcxEm+p7MTKWPHDhobHEN79qShs6sLjogIJI0ahX37svH4yifwyouv4LY77sL5F16ErjY3WlwNSEwYCWd0tMi2vqUFkRERiIqKkkzrBwsLxHE+OSUFrS4XGuvr0dzSIn3c29uL1N27UV1Vi+GxMTLmTH7McUp9o0N2XW2t+IwSril76hJ/k58Wl0v0mbEPKb9qfzJZxqLt7esTPBVMSBoVjYSRCYN4Zv/k5eSgurFZ/AjZpyYec05h/xwsKERLWytSkseIXgePU84Pe9LShFa73w/O7EOef8scU1OB8qJidPX0iL5Z4WGG+iaXCydPmCDyIx7qNX30GK4wO4vzQTWG0Wc3KUkiDlGuJh7SzqAPTAicknwSHFFRg8Yp+SksKkRXVxvGjh0vY466ZMq+rKwY+/btR2d7O6Z8+csytw7JH71HQPg1CvMPGja7zbjokovEJ+Svf31cfMrWr2fSO1/amhc1aWDCx/bp1wwkGrVIKdPV0SH+WEyVEbL09xuFhw6J74pFDWlGnxOVP1ZbW5uk3FH5guzcudPYunOn0l+EeOijZFXID+Go8Bw+dMgoPHjQsOSnv9/YujNVicfV7DaoB6pUPfsP7hO5WdFq9PcLrZSNVaFM09PTlfywf3RpN/769JNGY721Tx3ltTMt1SBNIUt/v3Hg4AFJV2IlW17funWroeKn3e020jLTlHLbmZpqZKenhyRDLvb3G+voj2VFq2EY1IOt24+khxoErL/foB4o/Rn7+431GzcqZU/f1zfffNNgUtk///kvxoKvf8NgguBA4fg5TD9Ya38s6hDlpho/jY1uIy1tuyUt1GX67THtjKo8/fTTSr8vptfJyFTr2/7cA0ZleaU1Gr9eq8appK2hb5gVFH8fZ9H31aKfRWd37lSOU/rLpWdlWcIgevqSlpdap6mS/tm8WYmHcntv3Torbj7R9SE9Y3vggfvxxhtvITs7WxbdC8//DoorKpCxJ0PePK65/ErYYp146h9PDcmi/GkDCScIMp9Q+VSnKro6uvuEravD7T1SET3C2pdHByMcPOHAkFd1hQEDLUDbWloxkpHbLYpYifKeCs5/SPYtDQ0YMXKksp+1cgnjfEYLIww94PYRN4Hjh1ubYOoscCl2HS26+9KtGp6ps6tWPY5/v/gOrvjhBbj+f38SsHQ01WIo8ITDD3VWzicV+sY3PYZ3UxYNz8IPcSjwDEX/8C2Ohh1mRB8lzaqbGn5UTc174fRhOHVMeOH8H9IztnaXG+P8Fkt8Xd20YzfmzJoVmBA8TnsgGHE4xH3WdWhrZX1S5KOOyq4qVDBdWgbW0RVuQagKt9fUxruQrRFZdBSAdHh4nxOSqjAOp7JwEtGcX3KCbtWYTuto5WDRyZYwdHVc7e0BHbbiSweD20KkR1Xq6qpUt+VeS5NaV1xut8QiVQFq0JyRsq1Or6kDOn5q6kKfJbHdq6+/jv/5728iL78Y23duxC9/ccegRY10EE+PRvet8ATLQKezLa2t6OvpCW4y6LvOvUR0qbV1ULvgC6SDuqAq1H1VCWcMcpz39qr1TScTGT9h8KODw1i2qkI8On1TtQ91b0gXtinTpyIvJxutLa1499134WpuxNKlywQvjUg+/GAtvjLJF78tFDGft2vhmPubQUytaK8sKUNzs9r/pUjj1EnYtfW1VijkOs9oKisrlXVKysrRrYnJpktWShw8k1EVHb8cmDoDBtJRXa3mR0cradRFDSet1dXqA/JN2zap2JV7EoRaUcs8K1NUQU6O2pmcbXPz1c781AN+VCWDgaw1hedwqsLxrJvQBgYe4ARGI4HvfHsZ/v3iy7j51puxbOkSjGCcVItSVl0mcREtbstlnWEIK+l0lvzo+kinszyDLCnmma51IR6d3ja7mq0B0JfR042yMvXYyC8o0I4fV7MaD8epjp9w5oNMf0BpK6b44BJOH1q1D3V9SBe2FZesQE+PB1/6r1Nw1VVXYfLkyVi+fDnWfvQRTp99ugTLvOGWm0PR8bm9pntj070B9Ucpdx18fPcyYL61dRIr6TJohyNAyaCt2AIhDF1WZKFFA0P/nss4r+rt23D40dXhRCrBoRUVmQS6r4/H44riGZphoutjBQWBWww4oCrh4IgMgx9G6lcW7zDYNWKxmSC8XuzfX4Dzz/8efvu7+3D3vfdL8ITTvzabGqdEE9kXqd01CUdne/r6lHgimMVeTYr2DZUjWOfeF+mNgKYLYdPMBej1IsLbr+SHgdd1Racr3JyNskcqwXAcc5ypio6fCAZwH+ryiU7mFI0Ol5cb9957r3H3nXcah0t9h76pqWnGrbfcYhwqVAfUVID9TG7NmDbNeFZj7MKDT1XhASyDfKpKo0sdTJZtXe3tKhCGi3g0dZpdLuVBMBHoaOV9HS3t7ZbH2sIDD651ciMeyk5VdLSyrSqALu+Hg0dpJOEnMBw8Kl54TycT1tHh4X1dnbDwNOr12soQxuSz2dUshgU/+MFVxkWXXWTs3BpkGOKXPYMpqwp1QItHE4yZ8HW65G7Xj1Od3GhEpsUTxnzQ7u5RiUTkocPjcjVqadGNH8qdclEVwtDB0cmNeGhANJRFv6wf40o6acIELF9+HiZMmBg4aK2uKMF3L7gA4yero00cI6pPvbr2bS0ovYkVMdGOaHgirO76rsfYNZETvF5tBBSGtun0eBCtMBqwQfP6yLMvzdMXKR4eFaVkKAI8D7Q2YmFjbtsoD+K9Xu3Bdzi06qJ50Gw80qZ+YnS73UKr6i3TTK+jEgzpVcLQRC9he6ZYURUdDrbVyYTP38z1pSoqPtiOJvQMPr5hw0e44xd3YPmFyweBI626rXEdHgLV1SEeusqoCtNV0SxeVbiFqNJZRrrR0cL7OjwRNp7BqftZxrKCWFdzNxJGqXkeNmyYz2BGAYdyUZVhfHPXvKY6HCN8frqKPjDTH6lwHcs9NefHAslf98EHH8ScOXMlWaHZ/J/Pv4izzjoLd972G/PSF+O/xyMJ8DgwWGgg0NrSEnA0528m/TMPleXwuKUlYIzAdkWHi3D44MHAgsFzCbYzzyfYNjMry/fb6xXYvM/PEbyt2JmeHnCuDoWnoKAAPKuTNl6vtCcM1mUhnry8jKNoG4inqa1VEh+q+CktLZX98CO0+WgNxrMrPd1Hv3+hHIiHv3nWosKTX1wkPjEqPPRBq6vzGVOwXjAe/qY/F2Vr4hkoe9bZX1SAwuLCgIO8CSOYny07tsE02hiIh7JlsNj0rEwlHp570Y+J7VlC4TETSPJ+MB7Ssm3bLgl08NOf/lT+t3Z0iM4QjqlLbMOzlaKCYmzbsgV0UeVn9apVgcN5ymLr9u0BWgnbpEUIY3zAhgbRAxqAsZhya+1oEzkx1yH1gIvXQH5oBPD4o49j3hlnIC+3AOvWrJNFjXjYvinI0Z3nXpI9fiAevzEVYdMROZTcTLykjQkxzT4exI/Xi6a6JqRnpQdopXFGMM+ExTNFkx/+Nu8THgvhZ2Rk+PCEGKdsQ96zcjIDwQkG0iJ48g6irKJEaLHCsystHe3+GIzBMFifH+Yvy8vbG8i2btYxaWWd/IIclBZX+ni2mA84Brv8xiHBtJh4KAPKxZStKRNT34jvQNGBMMYpE736Ej2bukRYLNQx+nlu3rxZfg/VnyFd2PZmZOC3v70Xd959t2Q1Non894sv4pknn8QjjzyKDRs2mJc/9/85rBmpvslv+VhdVo2y2mp52yDxdObt7uwUR1n+pkM0D4dZj6Wto006rba+OjD5VNfWykE2/7Nw0LqaXcgvLRAlpBJxwBOGaU2ZV5CHbpcLFX7rIle7W+6bRg9UlvbOdnS6OmVA9sArh8uEwwSMLBy0LldzQAnZhu1JLxWUylyUWyAZdWuqfKne+VZFOgL8tLUJnLq6hgA/bE88zMRr4nG3tPsMGPwTgFmHOAVPUZEkdiRNLAE81b6Jn0rfXN2IkpIjBgqkoaK2+gg/DQ1wu1woK/EZOVBWxMMP8bBwsadBAGXMwvbCj1/2xNNYUyP00yqOhcY+wXLjoEuKj0NBgS+CCfFQbqzD9uTncGmp0FXlt2r09bGvDmGyHq+RDpM2k1bTYIGyYMBZ6pSU/iP0Uj6LFp4hmTP+/fLL+PXtt2PD2rWob2wUOgiLhRMrs7O73M34+W234be//S0aGurw9SWL0dvpW6QqyirQ23YkEofI3q8HhMFzFy7CjXXNqKjyWWnSqZ2yqywqlwPjtqYmVFVUoLi4JMAPjQh+97vf4dTTTkVxWQleeO5fuHrFRQGDJuIpzi9Gfb1vUicuyoNvLyYenx6UiaxMfshjsNzEqKisWmTKOsTLdqSZfWHyw/6hXnd4elFcUYz25nbUVfms8xqbXQFdIAzRg/pGFBX5+Onv6wvcJzwWwmeiXsHj9aK9uzMwBmWcer0oKCiBu9GFen/QbLZl35jjtKGlCY3Ndagorgo8cJpj0MTD/u9sb0XhgQPCD+cD6izhEI/oeVER6pubYVq3mvOBaZRCfrp7PWhpbJL+CZ4PzHFKPNQ3M1IK9dKkNTAfFBWJAaBpsUiZso6ps/xfX1src4JpUWqODRMP+87d0oqK6kKRo8ikrDIwpzQ0NaGszK/zUmOI/gzlvubdd99rzF2wwBLkBcvPM/735hst73/ebgQctC0I497wwQPqxILcX67X7B8fpoOjhSMlUROPLnlkemq6kZqmTiBJPIRlVXiPjreqUl9fqz0LIgwVHjqfvvbGGyo04vzb2Kw+59HhIacq514S0NjYrOXnmWefN7o0Zw2HDx9W8kM9cPOMU1HE8V3TP7NmzTViY2ON6TOmh5RxVlaW8fQzzxpjEhMkOMK/XxssZ13STdGD0jD48Z+B/vu114xZc+YYF1xwgZGTmxPg8GChOhkmzy7ff//9QP1QXyg33ZmhzsG+u69H64RPWnT987zmvJ1nTTp9Ix4tP5oxSH4Oa/pn48b1Wp5Fbop5h+NUd74cDj86faM8dAmbQ+mG6tqQOmjf8ZvfIHNvDtZ/tC7ksnvl5VfDGev4wjhon0g0GrIbT1z8DCVw/ne+B2Yb4NvYu2vWYPm55w6i5uKLL0RycgoY3u79d9/BecvPH1RnKC5kZOzF3ff+Bk5bNG685UYsPcfn2jMUsE/AOCGB45HAkG5FLlyyBLtSdyAvb7APDLdaNmzagNOmqFM/HA8zQ92Wmze+DRxryNyaUBXG1TO3n6zqVWh8X9jO3A6whBFG0GBuI3C7RlW4jaEqpENHiw4GtzoqytT+PoRxvHjIK3lWFeKpq/NtiVrV26NJisp2gS1ECyDUAZ3sdbpE0J3dnbjmmmskRuM/n/jLIGxbtm1DjDMWkyaNl3uhjNwPFBUMajfwQrEimC/H8k03/Rg/+9mP8etf3YG333075KKm8+1j/+oSznL8UF9URUWr2Y5wVEXwaByjdf3DPg4Hj24+0I6fjg4tHm4BHu/4odx1/BCHDs+Bg+o5ktut1NuhLEO6sJ27dCnmzpyJRYsX4mc33IR//utfeOFf/8Ivf/lLnD7vdCQnJeHam784fmxquyRfN+gcC111dXC7ffv0Vh1X1VCDHk0kDnNf2woGFdncY7eq01h/5LDfqo4OD3GY5wGfFEZvt0e7EJAOHT86WuljWF+hjuZBXmpq1IkQ8/OyrFgNXNdNACIzjX9SwX79gtPd2y1Bki+44AK8t37joAnhjddewnnL+Rbns2YLZedXrli0TIZCLdRdni7cdc89uPB7F2L8yWPx9tvvYrEi6n6F5uyE/asbP801dXKObdIV6j+D8eoKz2NVheOUUVtUpahA3T88bye9qsJFQKe37e1qOmhJ2lCn1tlw5gPdOOaDGOWiKuSF532qUlyslhvPDbV+kyoEIe4N6cJG+K++/TaWf/cCPPf6q7j2Rz/CVT/6Ef7xj3/gnEVL8Pa6NVoT7hA0fmaX+LamW9zGj/c9GVsRGZM0EjExatPp+KSRiNKY1eoSmtIMWVcnITZJa46shREXB4eGnzhNMky7ExidnGwlMrlOk3QdLTqz9X67DaOS1bH9nLFOjBwRp6Rlwji9mwof2lRFaFWYO7PtSRNPUoGQe8MifM7kd911BxwOOx7/w58CbTiZZWTk42unfS1wLdQb26iTxgTuW31JDuofTnDP/fMpXHL+JUgZnYz1H6/HlZdfqXUbGJ2o7mP2LxMIq0rC6CToPMGDabWCpRuDHKc6fRp1krp/7E4HYkdbxz8lbSOHxyMmRj2rOJz6xJwjR8ZasSrXR49OPu7xY4uKROwINT+xMbFIjFOPn3Gj1XLTuT8oGbW6qTqAO957PPgt1ThgHi+OT7P91DActD9N/J9b2IoD588tzf9PCPvu8uUBTpYvX27EOJ1GXl6uXLvzztuN9f4o6X/+8x/EeOT9d98J1D/WLzSGeOe994wl55xt3Hn33SGNVY4V5on6JyTwn5DAcb+x8WnOPDsIfJcgt16MTEqSfGZcVHmP/i+6EFRWC/Dn8Tp54lOyqnC/nP5UqmKa11vVIR7TNN6qDvMe7c3da3VbrhOGasszHDzkRxecmNtyhGVV6Pe19sO1VrflOrdsdGcR5EeFJ1x+dHjefPtt8VVTEazrH/JD3zNVoS7p+GnvPnLqe/Ott6KzuxsPP/wnOYfKLyjCmIkT4Tvb8m1FhnpjC7XNGEwXaXj99ddx9n+fjY3r1+PF51/CA/fff9TbPvVAd/alGxuU2aZN6jicMn7oP6codMlQFdIZTv/o+HkvRFLUYLxsrztvCkevhR/FtjVzpenw0EdN189VVWXKUH6M4Uj5q0pY/NRUKOd9yk0X01VFQ6h7arfyUC0GXHvggQewY8cOfPDBB9ixbRt+edtvwBhjZmxDr83u++1v95NbbsUPf/jDAVA+pz89HlSVlaGlqUkWafM8YNSoURKBgL/ZIZwIJk2aJIPH3D+fNm2aLGgMnNrr8UiWAyYfpbLxsJTbHmzDDM9MAtronoRpk6eAkfHpL8JyyimnyNYtD9h5HkFnxgkTJ4pSm+dPxEPlqy6thNcOtIz3JVg0D7pNWjnJ5OXlYty4CZgxfbrgoQ+QiYfbAaS1pqYC3d0zhDYqbTAeLgBm0Oe5c+cKbQPxkD/KJSUlBbNmzjwKD7dtmUaDE29TU4s8FEyYMGEQP8RrynrGjBmStNX8HcwP6eXvefPmySJo8mPiYZu6qiqJbjFp4sRBsme/MsEko0HMmjVLossPwlNSIj5qdFQlHg5COiezjBkzxtemoAAVxSXwzJop518D+9jkx2EHpkyfiSQmmPUHGU5ISBBZ0b+MzuSTJ7tAngN47DaMSRwlgYL37d+H1pamgNymTZ6MmbNm4o3XXoPTGYOzvvF1VBaXweG0o6urW2hsrKsVXKbcqG+5eXlyTko8A/t4w0cfYeWqVfLwcs9d9+Dcc89FVVUd8goK4LDZMGXKFNQ11aEgr0DkRl1iEGPqQa/XK9tS7Hvyx35u7+zEtKlTj8Yzdar4w7EN8TNx68QJE1FTVQEXz6PtNkybMhV1DQ3Iy82VsUJamRyWbTjeKHuOJ5570RfL5arH9GkzQL8oU2dJq6cfyM/LQ3V9PeYAImsucsHjlHqQk5uDGGcMOJ44NoP7WPBQZ1tahC/C5VgIHqfm+Kmvb5Q+mTBu3KD5gLxSZxmlZsbMmSHHD2VGp/Tm5gmYxnHa2noUHnYqx7HL1YgZ02ciZdy4gGxNXfLJlOO4W8YHx9zAccr+KSsqQfMkt+gb+THHzyknnyz9wzr0I5w5fbrgMWXPLWSOW8qRdTh+zPmAv1lMfWMbjh33lHaR7UDZ8zfHC/ts8qRJ0nYo/hz3wjZx8iS4/YeHcQkJmDFjumQs7oUNDi5pXsDBFzWHTSwMk0cnDgXd/xEYfDYePmIEzHAv7EDzQwISEuPgqLAjLi5B6LE5HKK05jM121EJ+PBl7t/bbTbYHT44PhiJsMfEIDEuUZRJ4PN+UETW0cmjJUNArH8vOwDDf2ZD2DEJsbKAmvQF/yeemJhYOBxOodUMfmrW4UTBgcmBwcmE/1nM+/LD/5tw7HZv4J7wEnQ+yLZsx//EY8LgfxPmyPiRiPHLRq5RJk6H8ExaKDPWJ18BuXFVYD0/HNZhMUMcmfV5jTBY2C90ik2I9Z9Z2H2yN2HS4dbEZcJl8FgH+9kv29iEBNicNplECZNyYl2zPuuNSkxEQ0PNUbQ6vY7A2ZD0jzMGUdFRwjfhUG7Cjz9EVkycE067A3EJPr6Ih+2EFz/fSSPjpY1JP2m45eaf4EfXXouPP1wP5kMsoMWj1wszOlR3p+8hypQJdYjBejnxmIXw9uzZjQfufwDu9hZcd/1NiLHbMWf+fKlis3nlt5lDLM4RI7Q5hg8/amwg6C2d8EsKijDKr0sEZNItemGzISEuDg3NjYiL9Z3R2O0Onx5w0qDO+s9ZHQ5fJnmB4XCgm/3o14OExESguBgJo8b4wkNRbxyOwJuIPQKy8DobXYGzLbb10eLDQz1wOmJk4eR16WPRRyFD/lCfqRfsaxM3//Mj2142G+LiYtDpjkGCXzep00KLSNzHv4NjNWZEAIboW5BeU15lxDNqlJj/MMCzjDH/fEDaRo5Mgru9XRzGSdxRdACIjYlB/AjfGbXc88M367EN4VfUVAXGejAc9k90VBTiR4yQHQHKR4odcNqdAdrNscOFn3SxcA60wTfu+TsubpTILTbOhOGf//xzRkxcnMjN1Xzcm4eCP/DnP7HfSYdPVbbk/wQNnwQHgyC/+Oyz1k37+7XOvQxMrA1OrAniSvmpMjiTQDoI65y4dY6hhNPcqA7ITF50QZB1tPLsZmfaTmu5+oPW6oKrDkWAXOLQ4WFWcV0dnWzd1ANNMGyeSasc9elMnpiYcJTTLHVj4sSTjSeffVLkWVpaalSWVhrX33yDnLExaMLADO+Cx+/4z6zqS5YsNaZPn2a8/NprgT7R8UM9IG5V0QX3Jh179+5VgRCZ6eSmC6BLOnX8iC51q4OVUw9URfBoApoTz1Dwo3MmP5B74Cg9CUW3qQeh7vEa+dEFWw6bH8W5PPHoHMGtaLS6PqQO2lwt+Ur72osvYsUPfiCv2o8++ihWr16N2Ng4PPTgA1i67IvjxMkM2rffeSeuvvzywIPAiS8nJPBZSIDb0WnpaairqUNK0mjMmDMLZ555ppCye/duTJs2HfHxI2T8ffThWtkGZKJJWk5OnTwF55533lEBsouKCvDzn98GmmL/+Y9/lnHJJ/oT5YQE/l9IwGrF+yTXma5k/vw5hsPhMCqrq4309HR5ajz77LOMc889V0IB6UIPfRK8n1YbWkW+rAmjs2bNGiX6rJwcbZgdeRJUPNEQgS5sEGHoQtekp6caDJOjKrr+IQ4dLbqwQq5mt7F161YVGfIGquNHR2tfT4+xc3uqFg/7SFX+/szTqttyb/t29dM8n0h1stfpEhFt37xdScvWzZsN1ZsF++bc5ecZX//6AuPpp5+xfHv4+OOPlXgy07OMZrf67X7d+vVKGOzfZ59X7IgYhiF4NCHpNq7fqMTDm1lZ+5R1MrMytW8N77zzlhJGfW2todMl0qEbHzq95tsn6VUV6kDOgf2qKlo63C63lh/OBbpx+v776jmSqXE2btT3oZKZATeHdGPzw7VvIy+vAJu3poo15Isvv4i4uES8+/a7WLNmDabNmIHn/vnPL8wDAb1NzPMyS6IV1ktswwSGuidhr80WOBOwwqODYdUu+LrXG8pdN7iG/jtpNc+frGqb5zlW922OI+dgVnV0MKzaBV/32GzaxI/hyFWXUJM4dckUWUcnt2Darb57eWCtKFZ3aVBw//33Y9HChUiITcCWLdtwzTU/lF0VBTjLWzaHDXZaKykKz1p0JfgsOVRdZkTRjkE1GQI2KorP2NZFzrI0fobDhmnyT1mDD9yJhA08s1SVcHTSBvVYZpoe4lIV7RiT5lYadQSyll7NVtBxrwAAIABJREFUHBmp4eUIpvC/haES4QNjaohFixbizDNmy6H3jh27MG/eTET7U7/PmjkdZRrP/PCxffo1OaDUrpTApKlTlISMmpCCWI3D5aQJ47SLn2ksYYWMVkrm4bxlnYljtXhMwxErGGNHjdIuwsGGCaHgMMcTLUJVhTB0A09Hq9Nmw0kTJ6jQiIGJMtuw14tZM2cpYfBmyiQ1Huk/c+L0elHX0IrOTpcc4o9gDj2bDZNPnqzFMzHZWm60ji0pyAccTrFIZW4+Wlc+++wzWPn4aiz/7nnYk5EhFpG6yYjWt6oyLmW0zwBGUWnyRM3YGDUK02bOUEAAEselIM40XrCoOWmKXm6JcWpn8ZSk5IAxhgUaseqzusfr7OPRmkk8cdwoMRLSwVHd5zhPSTli/BOq7rhx47TzgW6c0poyJWlcKPCBa+GM06nT1GEUqYu6+SCAMMwvQ3rGdt99d2HTll3YtmWTmIKecsrJuP3223HfffcLOecvXYqxUyZj9arVYZL32VY7ccb22cr//yv2N954C1s2fYzeXi8cETYsv/BiLF265LjY3bJlEy6/9Pti1k5AU6acgh9cez1ee/llnHPOubj1V7dgXLI6ysdxEXCi8QkJfI4koH5XPUZCly1bjrTU7Vi1ciWYEJGH19+/5HLxs3jggQfxweaNEmfuGMF+dtWDzJdDEUE/EV0QV/qPMaebquTk5qpuiz9Kbk6Osg4dMrft2qWsQx8T0mxVhJ/sbKvbcp3Bi8s0/NBZXIWHeepeeO4FJR76ttDHRVUoexUevvGZfjVWcMiPDs+qf/wDba1qJ+GcHHUfUg+4HXjgwH6s+3CN+CTS4rm334u33npV7mn56e1Fdl7eIFbI589//pvAosYKRUWlePJvT+OZp5/Bn//80FGL2u4duwfBCL5Ame7L0/PT1KAOPLB7z55gsIO+s49ff/2tQdeDL5hyC7428LtuDNKgjf5jqkJ/VPaPqqx+6h+q22K4U5A7OAB8cCMGbNbhyc7eF9xk0Hfyo4tbuXbtWuRlD9aVYGAyThVzHPGwj1SFfmo6ftg/qt0X6tGOXUMbBDniPqbYHaIyfjydBV3448N/QFFhIX7+i1/gsu9fhg/Wfohbf/Yz/OTHN+HGG28aImyfPpi/rFwpZ4V0MB0RFyedbDp28jV9z549qC6phBFpw+hRo6SD6+vrxfmTvh3cGsrJyUF1TY34iwwfPlyca5m4kZMHHU454MqLy9DY7Es7z62j6upqgTEiZgRsdptkI69qqEOkLQJJSUkCl86hpIV4qFiHDh9GX0c74hIS4XRGgYFhg2nlBE8lbG1tFSfVjo6OAB5ubTBNPK3ramsqETEsAkmjRg3CQ0fW9JwcuGvrMTxxpPjLUPEH4mEW5472dqQkJ6Ont1ccP1nHxJO+Jx09nj44IiND8sOFhnKh02ZcXBwot4F4yMvhw4dRV1cn2xiUGx1MiYdbG4ZhIGPPHpRXVcHwesXfjZNksOwpt6zsbHGA5ZYK+3QgHjr3drf3wOWqwymTJsvW3kA8e7P3orS8FJHDgKRRo2WhJO1mH5Mf6gF1IzdnH2qq69DvsKGvD4jkYQCj99hscLvdaG13ibMyJwKzD8lPREQEdqWmCmyTH8JtbnahsqEKqx57DB2dvizF5sg4eewYXHPDDWh1udFv9CImerjItaTqMFzNLZgw4eRBfUy8u3ftQnVZDSIcPn2rqWtAY0O9bGHGx8cLDeSnrr4GiQkJiI6JQUVFGZqbfYlX2V8cGzXVFehs70TK2LGD8JBGZr4GvHISRH1jf1BGDBqekBAvSXr37fPJLTExUfrH7EPKJCoqSh4s2R9MFDtm9Gi0ut3Sn9QDjq/e3l7BU15TDmd0rNBr4mEdjh/KcV9uLlqaGxEbO0LOQiuCdEnwZGTA298n/IweM0b0OzBO/XjS0tJQ01wNhz1K4HL8c5ya/PABNzuPet2AhPiT4HBEBPqY8qD+Ze/NRXnFYTQ1NYccp9Qpyq2ypgZRDsdReNh3lD3xVDKBsLcXiQk+HzNTl0w8XGzo2N7hcmHCySfLomzyw3Ha39uPtIxUVFfVYRj1OikpMHeZeDhWuFBT/mPHjIEjKmrQ+OE45jjlfMPt0YGyLykrwcGDB9DhbseUL3/ZVN3j/z/AmOT4f/b3i3URrcBM/xn6SzDp4FD5spl+D88884wlvfSv+P3vf2fce++9gU9eXp5l/VA3mGj06aeftvTXaWtrM9Zv/tig9Z1VocUQrZxIc6hCmaSl7VRazNEKilaEljD6+ozU1FRj+/bt1nX6+8VajjRblTZXm7FZBaOvz2AyzMLCg5b+VqSRFlkuhW8e77344otKue3bt08tt74+kYmKH1dHm5G6PdVaJgF+FAkx+/uNvz75pNKPkIkfiafLqo/7+sRyrLy01Fi38WPj+mt+ZFx3zf/6Pjf6vuccyBLLsK6ODqvuEV8synagHtAyjf5tAI76LFt27mBY/f3G+vXrjS6Fzur0jUBzDx4wKmurB9ESQEg8Gz9W6jUTxb722ptKGBw/tCIcyLOJh9c5NlQWp5x/dm7fbqmzhJWdnam0EuQYf/KZZ5R4OOelpu5V0ro/a79RWnrIkpZw+KGvKf0PVTKhhS3HkKrO9tTNhk7fMvdlK2GY49Tsj4H/Kbd1H6+3lBvpo9zefffdgU2P6/eQnrFt2rQB77z1DlZcdRXOOP10ORA//qX3aAi+8F3vYeXjKzFzzkzssthWefXVV3HZZZcFGjNCweHCQgmNFbio+cIztnvvvBPf/wL4sfHpkIVPoJ/3wic+Prkx9NIXoTB2X3LyaK3hTTi8kPcHH3oQlaVVsNs9jNGAGdOn4uaf/Dyc5kfVoS/aQ3/8I9K2p+K7FyzHnx55RLb/WYmGDOvXrw/4uh3V8HPyg2/ZfGv6ougB34QYwuqLUDi++ObFt9bPffF60e31wjmEfpRDesbGTYV/PfccFsyfj69+5Wv4/e8fxN69GUMq14ULF+Khh/6IKdOmwiqFGQfMk0/+A52dnbIlxW0pM97jsRATjrm/bu+eiS7NRccKN+PD6QoVVVcYvkdVzLiWqjo6PNy20dXR3Sd+DjpVIQziUhUdHi4iZZqcYOHggc2jXdSKNck7RQf8IcZuvfVWfPei8zFr7pm46JILce3NPxU2dbrEStQV6hRzHF54/oWYftoMpGdl4oEHH0Jqahp+dP0NuOUnN2PfvmzLRS0cPPn56hxapKFHE9Q5L0d9xsP+0RXi4XhWFcYi1BWdLhGPLli5GVrPChfbM0yVqhCPbj7Q6TXPvghHVbhVqyuMq6kq3D6sKlPzE858oLMhYAivLk2geBWdoe4N6cJ2zpIlskf+4ssvY8z4UXjood9jzpz5+OpXv4KVK1fKfmw4yhyK0IHXEvzx5QZe5+/X/v0yZs2aHerWMV0Lx9yfe/6q4m5oUho4sC0XXXauqvDJVlV4hlZaXq6qAldzg/IQl407O9VJDpvd7sCZmhUyngOoSldPVyCYslU9JkHU8axLlEjYuiSipJXxMVXlw48+Ut2Wew0N6kmCePhUyjJi+Aicu+xcXHfNNThnydJALj6dLnFCZNDxi7/9LUyZNgXp+/bi5z/5WcAXbfbs2bj6sktxyWUrMGmStQl82WG1QQBp5JmZqpCWXn9MR6t6VU3qBxOezYQT3Z8JPFWlQZMMk211fUx+dHqbmpqqIgOdvb1w1ah1qb2pCZ2d6vGho4NzqG5x5AMQ5asq3e3qBMherxcN7Rp+2tvR6FInGq3SzJF8cGEw8qEsQ7qwkTAegF7+/e+LwhYWHsKLLz6LcWPHi5XkV796KhYvWoTVq1dpJ9jjYXLVqtV45JFH8NWvfAU33HS9VglUuLTOoarGAPqjNBV4fM4neU21cJ7ANCCAvgj0a3tc/danvuujQL1E01hiaJyVtfx6vYjw9murKSuwb7xaoYGbirpi1zy8WLXnwH/wwQcxd9apcDqc2LgzFddfcz2i7CF6w/SVswJGZ/LoEO0G1neoeY5kaiqb5o2rWy8T3YMuAxzoHvpogKIrkTrfau8wLR7dGKSTvm689yEC3AFQFY/VVlRQI8rluEsYusI5Q1fMTC5W9XSUmgGUrdp/kutDesY2kAC+Mr/31lv4aMsmfLj2Q7hczZg8ZRry83IxbdpUPPvs85IKZGC7cH5zgWSKdFryBRfmvPpw7QfgVsqGDRuwc/t2nHzyeLz//hqcdtppwVW130/76lfxixOxIrVyOlHh05EAJ/3n/vVPSSPDFEB33XM/Jk+2dtD+dKg4AfWEBD5dCVDPuf06lGet6seyT8APX5Hfee89eVMaO3YsfvS/1yIvLx8/uflmHC4tx4H9+3Dg4AF4eyG52z4BCmWT+OHDcenFl+K+e+6R/HDPPvMsGusbccWKFdq9+oGAdW9r7BCdj1pra5uYIg+EHfy7pk69ZRMOnnDOiurqqpQJ/wSP5lyL/csHFlXhvjthWRXeo7m+qtQ1hZOgtUqLR3deIfxo9vd5hsNceKpSo9kOC0du3IqkbPiGxkSfX5s9G5k5uXj9zTX413MvYOJEX+46HR3c2lYV+u6pSrh6oDv70o0N6lGx5gy0ta1Fm6BVd37m6fGgSuN7SZnp+NH5RLK9Tt94Xzt+NLSyf3R4aIpPnVMVGaeKXYRwEo02NTWFxQ9pVpUYf6ofVZ1juafbATsWWNiwaRMuvfhC8a1hsrpbbrkFl115Jb4yefJRh+/Tpk7DucuXYcOH+rMLKwK8PBzVTDZse/UPr0Z7dzd++tOb5C1u9uyvCUgq4aOPHrEiC4Wnpa4O7S6XKDy3WLs7utEX0YfoYdGwR9nFuGFPVhaWxMSINWKPpxeerh5w54rnKMRRXOxLjMhEiYTR2tqNKHsfejyRiI93oqm1BblZebDPsgUsNjvaumAfHhk4e6ECZufnYqEfjzn5kWZaPREPE4B6bV7xlyMeZqnmJkJ/VCSGO5yi5Fm5+Zgx3Sa+eXJg29WFSFuk8EJYxJOXlyeGHbSuDIWHC5LX45VkisRjDlLmqoqKjhY8NE5gwkaG+TJh8AmK91l48E2HcvqOEQ9p9XgjRS5Oyq2jAyVF+ZI/jnBMPNyyoCEQf3PQZuXlYobXG3jSk+zgPX0BPA0NdcgtKMLcmTMFD88u+vr6xOgofqQvEj4nAG4FT58+3Yenow2MXWfYjuDZtmmb5AZj2B/yw4myD32IjvLxw0kxY28OFp4x14eHeoI+sANGOH39Q7mR7mlfniby7m5rQ789EnYYQi8nqqzMLOzo2Y3HH30EXq8Hf//b33H67K9JzjNOC1wo8ouKMXfOrAA//QYQwXx/w52S1JX953A4MHfOHMHX2tImumTv9+GhM+yujAwscToxOjk50D+mLjGXGxdYntHQwIf9I3Lr7xO5EA/7Jz+/CCNHjggkw6UesI8j/HnkyA/xLLLbBQ/7xtPRFRgbxEeZ8KE38byEkHgIMz+nAPFJI+A45UuS84u6Tp3lOKRsRW5ZWTK/jE5KgqfPi67eo/W6pLxEEgLHWIzTVjpw5+dj9MiROOVLPjzBfcwtSOEnSGdJP8cpbJGIH+HL/8YzLZ5Nzpm/AHzANnXflC1pN/H813/9l48fTxci+4Bh0VGytUw8TATLEGvsH/YHz6Spk5xzWMrKilFcUYb5cxZIzjRzTmG2dM47lBv91Og3NtOf0JR6QFqHOw3Yo6J9csvMwdy5swLzjilbwdMPVNfWoqKqShITyzjt7Ya374geSP/k5yM2Nh6nnjpN+mCgvpGfzD1ZmL9wvviSBuZI/9zFcdxYXw/6vi5fvlz4G4o/Q7qweT0eXH3l1bjggoswd+EZgYk5FKGXXXEVLrlkRahb4V3zqA9gg4Fcdskl+M1tP0N395FDaK8nAvlFBejttH4SZ/bfkuIy6WBmd92V5ovswQmOn6zMTHR3+bzz2fGVJRWSDZgxThefs0QcjDl4OTB4n5l384uy0dvejdjYGMw+fR6KC4rQ0FSHtMxeLDvnHDS0NCA/rwCEMWf+XFF+LlptbR0SbWDeGWfIxMMJmWXJkiViZCGH471ewclX+jRxfmWyxhicceYZ0rahpg65vb1IPOssuNzuQFQOM3u04OloRUlZmdDLCS4YDxVdftttGJ2SLBlvfU62EHlQJuSXyszJkHRQcU0rvBkzZ8jAY1ZkZhVn9ATyQ6upzt5uMEXhmQsXor62URxXmXiSMLggDMJTUICGmgZkdWfJgOno6UJuOhd3YNr0aWAyU0YD4RNlUUyMbHnvzc5GZ3en4Jk7fz5qa+slgzk1IDk5WRbi9DQ6DR/hhxmnbU47GPmF/HHwm7RMnTpVHFczMzPhbmkJ8LMvb584M9Pknlm3KTdapDodNsn8zOSou9LT5QFh4qSJohfvvPMOHv7Dw4iNixUDEcKm/Hft3i14mZE5Jy8PrS0tKCiKxRnz5slk0FTXAGeME7QWrq+tRpP/zbFx8mRMoNxy0mH3AMnjUuRho6iEDuftkq172bJlg3SJCyh5betqk74k/QeLi9FcVwfG1OQRQG1jIyoqStBYH4XEUT7HaWb/5vhnf/FhhG83fCjkdeKpLvPpEh+KFi9ZLGOCsvWgVx50OD6oW+bbF/W6sbkZZVVlsNfZJe0VE5OmZ2ZK/1CGfFikbslikJuLRYsWoaL6iM4uWLBAAg+Qlo6uLoFPPOUlZcI3aTln6TkyZmoYGaauDnQLIp7UtDTBwzHLB7S83AL0wiv80EiOgQEKCgokgMKcOXPg6fWAkTzoEF5dWor46dMFH/uQhfxQDxpqatDiT+abMioZ6alH9G3sxAkiN/LDMbEsORlVDQ0oLihAt8eDBXPnCqy83Hx5iCmPO4wZs2ciK2e3uHnQXH7R4sU+B/V2FzxlHkyZMlXmEOoBxxdjgJrjtKW1CWmZmVi2dKnI0Hwj5XzAQj3o6unByPh4mQ8yd+0Bz/9M2XMhZ3/ZbHWYPOlkSeiamZUuZ5XTKLeJE5Gbn4emzhZ58F66dClKi0pQ5bccpUzowH6wsBAR9AIfynJcXnCfYeOzvvENY/78+WFRQCfAk0YlKB0wQwGaNnWK8Ywi0SidD8NJv0LHXFVJTUtT3RbnxrRUdfqVzKx0QwdH5dRJAujkSkdvVaFT7aFDB1VVxHlU5TDb7nYbr73xhhLGgcKD2v5KTU+zdPwkcPbP3mx1eo+CwweN0tJyJS3PPP2sNuHizjS13A4VHgqZFiU9PdNYccUKg8EAbv3FrUZnT7slLV3tXSJbywpMz5KZqU01oksnI3qgSfdDp3BdosrNm9WpSCorS433339fxY5RePiQwXQwqqIbgwzWkKpJEsp0Mzp+nteksKJje0Z2topUY3/uAYN8qwqd8FWl2d1lZKerE7R+/PF6CaaggrNz53Zl0AzKLTcvVwXC2H9Az8/mzVstHdIJnHgy09OVeI715pAbj/AV/mBxIeprQ5uaTp40FXxKPd6yaMkS9HZ2DjIe4RM1twCCHRM3bdmGt956A3994oljQvtFctA+JsZOVP7MJcA3uEf+9Ajef/t1XHfzLbjjN7fJW8xnTth/mgCe8YRjnfefpusEvi+0BIbWeMTrxcUrLsWcWTPx3//9zZCfl1555fgF5vXC7WqW7TQuYsHl7nvvlTQjjz++UrZt3nrrdWzbsgV/evjh4GphfadRtPVGpQ+ELhhpVU1N4BzKCqm53Wd1n9e5PaEq3PLQ1eHZ1kB5DYSpO3AmDp1xgg4GHz50PBOGjh8dHvKqc2QljDqN8c6evXsHimnQbx0/PI8gPcR30w034Mx583DSmJOwd99+3HPXHbKocRtXV7ggqgrpKCtRG4cUFBxQgZB7jAGoKtRrGheoii7wAPtXF/CXeKgvqqKjlW0JR1UEj8bhXDfW2cc6XSIe1lOVlia10QfloeMnnPlAN37CwcM+rNMYKx04uF/Frhxb8Mx9KMuQLmxvvvkm3nnrLdz6i19h585U2b/lHm7wh8Ycx1MoyKf+9S+cMe8M2e9/6aWXAvvyhHvrLbdgxYrLkJ+fh0dXPo4xY8bhvvvukXOaY8XLRU3n8ZNfrJ6MmmvqJAiqCndjGDnq6BitKlRkBt5VlcaqeoiBhaKSzina1dyMeo2zuMutdibnBG+ePViRQjp0/OhoJexGjYUZnbwba9QOprm5WVZkBq7rLAAZYPb+++/DqaeeilFjx4KLJS13eV5hloL96mgfrFelWbQoV/MMw4Q78H9xSenAS4N+6xZqjkNm71CVsiL14sj+zdNkESAenSN+RYk6SAJpdGt0luPU1a4eY7oHj87ubujGsquuGW63Wt/aO9Xjh+fXugU0nPmgXTOn8DyN8lcVjkF3s5qf8qLQu3cmXBp0kaehLENqPLIzLRXTp0/DQw8+OJQ0HgWLEwEjNvATqtAS6P4HHgh16xNd072x6ZwT6bCp22npsXllwYliHhOL4lCY5bIJD8VjNQkZbVH9YkFngSLsy7ps0bpM0ZE2IM6ffNYKqe7N0qpd8HX1tHukZp9N7cQ9ISWM+IAWyPh0/uzzz2PVqlU4b+ky7NixzTIqiC1K/5zp1Txp0WCFxjaqYvPo8aja815YDtpOa30mDEdMDJI08UKJR6dPHo1MiKuHqRQUpZ9p0jWexHGJsQoINGCkEqgzW/fBC6/G4d+ryUxOIqI02bHDmQ8sVDbAI12yKP/jLT0Raky0dg5+wDtefGw/pGdsK1evwlOrn5I4dUNB3GcNIxwHbU7AqogEEjXBHyPQkp8wzhl0eCxhB90gLbpJIqi65VctLWHwYwk86IYOj+4+QQ1VnSCyQn7lm3DwgwlN4j9Yuxa/+tUvMWXqV/Dk3/8u1mghG/sv/qdoHQo8okukW/HUFg4elTx4T8YPNJFqwtA3LS1hwNDRKvRq5oNw6oQzTsOpEw69ujpauYUxxugDqouzqaPjWO8f/6NbEMZrr/qBBB7+41/+EnT1i/tV97bGTte9qne0dWjPCHQwwsFDU11dsNGmhiblGRvxmObWVr3GfXndmUdFnTomJd9iNmzYZIVCroeDh3IjzVaF93TnCOHgee+DD8TXzgoPr7vNcxEvE4e+jq+fdRZWPv44nn/+BaxbswaJiaO0chsKfuhMrjvb0vVxOPrGgL80BVcVnV6Tjm3b1AkmO9pa/o+994CPqzrTxh+NRqPRqHfJFa/XGOMYcCgBAiTLxxKvwxIIhIQlQEjjn/qFQCrZNEiy2U1CgBQIIWB6MRATxyHgItmWbfXee++9t7n/3/OO7mgkzz1njIdg9uP4J8+de8pbznvOvXPehlmNjk3nHE9dYL/mSI353HRy/ZrG75b9gyFvEvuSD1qLIo7TGr0W8+HpjpPJf9360ekDOcezOjlgLFzFOiUM09XAguQTvq0+KwhgOMawe+213fJmxV8DNtssvnXnnfj9/fdj9drjj3Buv/123HTTyenZAkArKE3oa9XZ3CzJOZlg0RSUuDiPQ2l9fTUqK+rxvgvOlXQWjJZtnlvTV4QTVlpaDJvNJr49PB7g2TcnmZH4mQKD3+mftHHdOqxet06ExNQtpaWlybFSZVml+OeQKNM3zNQvEQ4XZWdzO2ZsbqxZtUosQjkui4krIy/QeZc+OfTN4SL0hcPjAOoQTBqt4FAAZ9xunEvHTyZOXYhiYcIhXCbnHFq5Umj2hWMm82xqa0Fvb6c8RJfDIX4evpXKL+EtmzeLf4yJlwmHyvPiwkKhh/5MhEOfGBYTDjf49sZ2bN6yEStXr17kvdMpfBQ4DL7qsOP8s7cKPcfBaaayf1gCeJ91zjl+4TCJY3VFLSZmJ+SXWU9fD264+nrc/JlbBT9udqXlpXA47Ni8aYvMjwmHR4c8hqEjLP0iOTf0A6OM+M4hrXzLaivQVd+BTZu3YO26lcI/6iZ4YkC+cZOhnxSd+dasWLGEHi+c1lbk5ueIToOwiJuvLBEu/Tvb6xuBc88VPrW3U5825oXDPpQll9OJtRs2INFnbZhwSB9ftDZv2oQN69eLjJpwiCtxrqcvXF+fOJ5zLRB/U59GueZ6qq6shN3hxOZNG71yTRw5x+QJ4VAm2c9cc75w6OBcXFmJob4+bKWzeHLycXBIT2FxIaJcUWBSYf66MGXJlDfC6e/vRW19LTasO54eyh3x6Brow/lbzhbn6uX7AekjT2JcLmxiwIbw8CVzLPtDczPKK6sxsn5M/ER91w/3A9JTWV+PoZ4eGYPJfM05NHlP466Onh6ZY3Mt+MoS4ZAernfOBeWNa8F3P+CJamVJJUbGxrBxwwaRg+bmVjlupeM+121vP31uy+FwurD1vWch3OH07h8m3wiX/nAbNm4U2T5ujru7xW+WCWaJR7DKST/YYuPjER2b6DmScLvlesOmsxZDN/Gownz7sNngtKnTlQSLsGCMw6N7O9Or0Fsa8Co4ubBYHA4XHOH2xZ/Zc3PeNqzn4mUUCBYzpQz7+ipKGdTWYbfB6XLJMeHk3Bwmhifgq29htAc6x3I8luPGsNtBPQPRNNuYMExcnU47eHZPh2228R2D12Hh4bA7bHDbbN4xfNv40uCEBxe+yBwPxykvOTFRMd5jT7ONIE9e2OkqugiHSnezDXEzaZDrBf6ZPPHS47DJ+Gb6G19czTbceJ1RNjgWUuQQhlnnxcXUSy4cqS2H43DZMTM1g1DH4lIxceUn9VlMWXPvz+8F49L+4t57sXL9enFFMY0rhA6bHQ6700ubCcfUi1I++AJk0sPIJWYb4kxeR9sj0eNwwOXyHLTwiIc4mPziGFSf2akvWqDHxNUcl21tCPPC8eUb1ynrOT+wO7zj2rA4P+SbjLEgJ66F+THheHFxOkE0BK7NJnw36TF577I74J52e9cPgyWY47CNyROuD3NcjuEOdXvn0aSLn2yzhB4OYrMhyunEgM1DG28tb+Ohxy7wJKKRz1o3ceX4fNFrkTUxAAAgAElEQVTlemW2cxYTVxo/8MWQbVw0NzNTxjDPmI9RBOudNofQa6oETJ4QJxY5srPNgXw16THbsJ7rlI7YXKcuh2cvNekxecQxjNlZ6W/eM/Ew4RAXFvPTjcV9iW0iwiIQ7YoGDcHMMWZmJjA3t8hHu80u8hblsMPNEDg+PDHhsO8s5WBBTkxcpTHhu1xwurgfBLmcqOPb/0vt6aD9+ONPKEnu6xtR1k9MTBgTY9ZOt+ysqzfm57UOwszSTSdgVSEcM6u533YBwBF6Jib8djdv0uHSf75wTwtmb84+qnZKJxyr7L++cMgby0J6dLzn/GjoOZSZ6bcNM/9+9rOfMlLSVhl/eughJb5Cz5SKKx5HVUta6HA+O6uVFTrQt7WpHc5V2c0Jn3A4h6oS0PwMDamGMPr6uowCjaNxsPgWDHqOMgu3onj4pqbZQ49m/QypeR/I/FSUlfkNCOCLvo4nIm+atRHI/FDeVJLPMbiWglmCajxiPnMry0uw47En5Gcp39rWbtiEz33uNktrMLPfqfb5roP2qTYjpwY+PLb5yc9+hhd27sSXbv8Cbrnlk0G36jo1KH0Xi3c58M7kQNB/Ad5/33048z1b8eiOJ9HY3ozK+lY8+tgjOOOMM/DIb3/7juISDxF1BiSv7tmtpKkgr0hrkHH4yBHv0YrVYDofGjo46hSweXnHlhyN+IPFs3dVIQwdLgzSqip8MOgSTFbX12vp0eHK45djOTkqVCRoLedIVR5+7FGppi6DCXPfd9H7xUn9aOYB3HnnHfJQ4xyqChX15nGQVbvdr6hlif0yDqqNbvZnZODwwcNWIOQ+rTV1hSmfVIU8Gx1WOxLrErRSlp7c8aQKDIqKPLEgVY1e1+DKvuVF6mzeBUUF2nX6ym71/NDoo6ikRIUqisqLvHo1q4bNASR5Jb6qcuTIMZSXq3HRrR+uU93aoNN6ebXa/3LPq2q+MXCybj9Q0eqvLqgPtqKSInz763fhG9+4A01N7cg5loeCghy0t7bjW9/5T3z+y1+VaN7+EDkV7wXioK3zY7OpXYqEbB7Zm2fuVnzgmfrJlhCmMw3COKLDUSBjg1qPSjcem8Jnj0M7goIn9YrWVpOEQ58ie6SCGFbNzODpp5/E+eeej7y8POx66Tk8/PDDSA3Ev81naFNX4XNryaWvXnVJhe8XjY8TNYE2HpOoyqyaJ6quZp3NHgpTH2XeW/5p0zmGkf+Lqsvl3T3fbbPatUEdnK7oEoCGQ58RWN9ChwXgZkIAlewzgau1QaQXAPWkqkIZsNnUbXR7DtNgMMuIsths2rU6q5nj8AgNDCUC/itDf/jDH/7Qf9WJ3/3d/b/B6PwsnnnueYlkbo5Apfi/fPADyM4+hubWemz70Haz6pT+/M1vf4uLL7sM56gSlIaESIR3K0JCJM1KFJxO62Vhm7chJjYaUES4NubnERmp3oFjYmKUbebnDcTGRIuRghW+vK9y8OVisIc5lHDcxrxyjJB5N8IdYYiNi1OhIYptHc0qXCl3wtu4GEs4ISE2OMMciIqKPq4NjTMe/dOfcM8Pvo/m1gE8/Mff4ktf/BISkxajhZidGJuclrOqQgMD4mRV6LybnJhkVS335w03EuLj/bY5fPgIMjMOoLqmCfHxUUhLS/fbLizcIQ79fisXbs7OzyMpMdGySWioGxHhLjGasGw0FyLR/y3rAUQ5I5BKaz+LEjJnQ1iUy2t84K9ZyLwNcQlqWYJ73u8cm+PNhxqIckUiPNx6nXJ9Jip4YgsJESOvmOjjZcmEYw8LRUSkA86FlEfmfe9nSAjCQkIQvmDc4b2/7MLhsCnpMdxu6PYD90IKqGVDe7+GhoTBFmIo4VCeaSCnWqehUPONADkOrTWDVYKqY/vxD3+MvRkZOJjh/7jk5ltvRazdgd88+kiw8H9LxwnEQfstReAEBhcrJFq1LVgfnUDXf3hT4so/0yLrH46ABiBxe/7ZZ/HL++8Xk/av3HEHPn7ttUH5tasB/aarX39tD3bu3LWk/6c+dRMuvuSyJfdOpS/k8/SkG5HRAYQOOQUQ59Gcb3D1UwAlSxR47M0TAt0pgeUA7/AK69fHN0HYzbfejPLKUjm2odD6loKcHOzevRvbPnat7+1T+npsGQ3LkeUbfV5e6fLbS75Tt6KLIygZmpf0WvqFyfl0OgI6ZB7MOba047Jv1GksnxffJqSniEkOFYV+KaRJVQhHpU+ibw7jiqpKIHCYi0sFh7QyZ5aqtC+jh2f9l1/xQXmo/fiHP8Thw4cxMNAn+fBU43AOVYX0UEenKjp6KAfV5cfTQzpf35shQ9vtczDDbu0/7F/vp9M7Ug508hYIPXma4NGdne3Y88YrKpaIPioQvqkG4QOJMqkqDC6tg/PCCy+ohhBfMJ3+mXDoy6UqzOvmdZHy05D06OBQjnXBrnX7AeE016sDalNPp3N+LyooUO475IfOUd8PG5S3gnoUyUjqNZVV+PnP/1vCCdVWVeHgoUO47/778d27v4O01DQkJSQiIyND/uhke9aWLUoE387K3z/4IFKS43H66WfIMdOePXskmeRciCFHRhmZmeju7sDs7DRSU9Nk8TAJJQWGiSK5UI4ePYq27m7JdMu3PU5gYWkperq6sHbtWsl021pfi47eLqSnpqO9vRNHjmSJQjY1OVmO9F57/Q30dbbDYILPpGQR6uzsbFRWV2Lj6RslQWJVbS1mR0YRFRsPhyMMr7/+urTjpkenVC6WurpqdPX1gLEPO7t6cPjwIWlDZ8rQ0FCZq57mDhihkD5UDGfn5AguZ5x+uizI7GO56OzsQEpKihxDvfbaa8IT85iGcGpqaqStOHH29uLQIQ8cOpDyOI64j02MIczuiRHHRcp7/KSTLZ3JuSn29vRI0sfIqCjs2b0btTU1MHlPp/amujq0d3Rg/fr1Ai8zM1PG4C9BHinxodTe3oLpGQNpqSnCezoWt3d3gxne+YAuKi4GEyYODw/j29++C//9i19j25Ufwo9/9CNJ3smHzfjAMPoG+wXO6PAo9u3fJ3D4NhwdGYmDh7LQ0d4MY95AckqKZAdnP9Jx2mmnyebMJK4tLS1ISUpChMvloaeuTh7MTHJaWlmKsrIKDA4MeByNx0exb68HDtdAZHQ0DmfuR3NrB6bnJ0VW+DJDJ/X6pgY0tzRhamJaflXajTnRHUa6IiQSEOWRCTAJh31aWxpFDtat9SSG9fJ+/Xq45+fx+oF96OrvwfzMrPQ5dqwAJSWFkpR1/T//s9CTX1wsL2wxcXGIiowUeeNLBPmTviIdR3KOoLm+EaNjE1i1Ih3lNTXIy8kRWVm9Zo38ksg6dBiTU7Owh4aKvJFH/KMc0HmcD08v31JSZC3s3f86qiqrpT+PrkhPU1OTzD/jxDLSv0kPHZqZcZ1ywb3GERYmR4mcGyaHpXxvOP10kYOCY/no7O1EXHQMeES3b98i73n8SDhMPDw6NIT0FSskES7XNnGlE3RISIjAoaO9CYdZoXMXaCYc0lOWV4zOni5vn92vvYaGmhrMGIbIRl5eARobG9DZ14XVK1eLDGVx/dTVISYhAVRJHM3KQnNbmxeOuX74IOKaI5z6WvJ+TNYpceN+QDngkZ9JD/Hr7+sTeeNaWL5OybdOZr6wuZGUmOydYzqer161CjTwqigrQ2dXlyTQ5Zpbvkcyk3djU5Mk/OV+R95zfjhPnGM+GIuLi0VOuWcGrQTTd2Dnzp300gv47+prrg4m+KCPtW7DBuOPf3rcMkkeEzK+se/vSv8lJmTkn8rf6tChQ8oxJsfHJaEp/Ur8lvl5SRB6IOuQJRz2ZQJDVQLQ0dFRI/NQpkE/M6tSUVUh9FjhwvtM/MixrAoTMj7zzDOSCNRvm/l5g344wje/DQyhc9++fUo45NtR+stZ8c0wjKOHsoztV19lbNm82fjrX/9mjCz3vZqfNx764x8N4mxZ5ueNrMxDSr6VlJQYLW1t1okdZ2eNN/72hnp+RoZkDv3x/he/+B/j9ts/b3zqM583bv/Mp+X6iSeO98Fk37/+TS2z5Nu+vyuShC7MTxt9j6z8CGdnDSY0VckbfS9feuklpRxU1dRIYk5/NHM+eJ9yYFXPNvSjOpBpneySfQtL8o2OtjbLKWabx//0J2NSIUsDfX2W8yO4zs8bhflFRlNLgyW+hMP1wyS5Vrzt6+szcrOzLcdgP/K+pKzMcgwvHBU9AwOStJZtrUpBQYHBebRqw/t/V8gB6+nDtmvXLisQb+p+UHVsQXvaniID/UN0bEEKvjo8PCoWgMFUwL5V08Bfkf39g0hNPd4I462CuXxcvtX+8pe/xIsvvoIbb/wY7r77bkvlNd9m+av3VNZXDI8O4o9/eBjVlY2wO4FNm87Cp2655ZTWCfFIemRk7G2Vg+Vyofre3d2O1NTjwwSq+rxddf2DvRLp5p2iEww2nzSGmMEG984aLxBzfx43qh4mPB6g5Z7lpmizgQFlozUWddwE1BaADPGlNrMfHh1FLC0rFZZ5OjisZ1HhohuD/V0uNa7BgMMHKMfxXdycr0ceeQT/87Of4fIrr8D+g3uxZsUqJT2cO8v5WxBpnRwws/x8GJZkAFjo6v3QjcGGVrISGx2PO+/8Nlp7O+F02yRWoXfgZReBwBkcHkR8rLWVGvnKY2UVX6xw9UVHIYrSbHh8HJEM92aGqfLtvHCtw5XNdDLJbAwSVk4BhyH0VIXyxoDAjKFqVbT7wUJYKpVhFeGMT0971rIFIN/wbRZN5BhcB4fhwnRrneOr2ujkzd86tcI50PtBNR4JFOg7qZ3OQZvn7KpCZbHO2KK4vFLiK6rGoR5IVXh2TV2DqtRX12FqRk2RGfzVahzC0OHS06NOeMpNJjs/1wqE3CceOnp0uHIg06iDMPlA27r1vTiQmYk3DmTi6Wefl5h8lX4MMnyRe3XPq75f/V5Td6cqvQO9CNU4KOlkiePn5qqTnjaWV6NWk/066+AhFapSl5+br2zDANPcpFUlKztbVS3zS92PqrRU18rDXNWmOL9YVS11uowHlZW1EtRXNVDGITXfaARBvZOqBLIfdGuMS8h38kVVAtkPdPvS5PSk6PFVcLgX6PaDg4c9hk1W43Bt0jYhmOXdX2wKbgZkhGwGeLYYh5uZ6m2T3Zi4U+csGQwHbTfUCTUtSFhyW4Ika16zbQtBo5d0XPZFF/Z0LgDn3mVDHv91YW527HgMv/yfXyIhKQl//NOjuOLyy71t6aAdEXny73fuQMK4avjmRUpxYXNocA0Ahj385Jc9E1DqEmLqZJpk6uaZCUDVr2JMZqD3aA5zhyq4CghfNcOEa3irW+dKBHwqGWhYV3QO5yp/SXPsgPANJCmtZg8MhzpKBX/5B728Kc3c/yOdNm7aZDzz1FNKapua1AFnaXSgCzba09VlbVSwAH1oqE+JRyCVPT09lkpes78O16GhEbUhhaEP5mvCUn2eLBwqpWlUsHnzJmPL5i3GM88945d20ku+aIuVkcRCx54udRBXCRarUMJzmJYWtSyxTTCCxTYpjCRMPujgUK5np9TBfAOhx4Rn9Uk45J2q6HBlX6Xxz0K9Do4KB9axv06WAtkPdGuQcGiocrLlOEOpZQPOTs1q+UZcdbxtaGlaNvLSr1yrTQHI/tJe6m+a17+gP0ffcQPq3hbj4tQGENTvqM6fyRDq11Rvt8yWG66J+8RjEJ1/DHHRvaXp3p4iIyOW6Kz8TahuDJ6p6+LURUaEBwTHzLDsi8exYzm49rrrcOutN+OWT96CgrIS3PjxG/3SzrlR6Ug5bmN9vfaoOCpGHfkiLFT9i4FwYmKSlf5L9G1KSLaOBsIxKAPUaahKapx6DM6PjieitwxVv2nT4EZVeKRGIx5VIRydPOlwJT26NcgURzo49cxRpyjsH6/RlROODhcdHtQFRkSpo9zQd5YGZarCcZQlFNo16AhgnaYnpyrBsJJuMMEsb9mDTTYcxj1biDJBpHn9jipzc3D74OxLC+mgc3Bh8WLAWamXWG+LRwmNra1LNnHvGAs/3/mdgVP5yY2LfPO2WWDW+PAUCgrzYHLPrJc+C23oy1JZW+vdGKUNYfgcE9CnxHRo9jcGkzXSX8csx7Vxu1Hb2Oihxwd/sx378ZpjCJwF+NPuOdDp1yzjo6Pi62V+N/vz0yzUE/luet42PnAJxxyX9VzIn//8Z3Dddddi+xVXIK+gBP/6oQ8xQqanmHPjwxM+YJfDAWXWbON2Y/fe/YsZtH3mx2xDrEX3ZeI2M3PcHJKe7u5uyzkk/oXFR5boQJfTTD+q7CN53jn11pt8M+eneXEDPq7N3BwyDuy1xIOMoiN4Xt5SOTBl02Ql5a3bJ4vzcjjkTYZPdmzWLx9jaKAPx47lHkePKbPsw/mRjNILgL1wfL7nHDu2ZL5kDZnzR4MbBvP1cRb3jmHyDUBVQ+2SF0NvG3Mc0pOx3z+chTY0likoKl1KjylzxNftFjjd3b1L21DeTHrcbjBYOeGzePEwcXW7hZ6y4sUgyNJ2QS4XhkFhcTFaOhqPh+Mzrm4/IN+qy8oWcVvYy724ud2oKa9Ed2e3CdYvvgzQbrnvuN2SUHbfgQPeMYJxEVQHbSJEh90777wT9//6F/j9Q3/Co489ij8++ige+v0jch1mt2Pr1q3BwP0tH+NXDz6I01avxMaNZ8iby7HDOejsbgNz6sXFxiKvIA997QMIcYRKXL32znbUVlZJ0OdVq1fJm3NpeTFGh8cRHR0l8dTKasvRXNeI/p5BpK1IE0fF5pZGjI5MIjUtFYN9fSgsKsNAdx/CoyPgckYgr/AoevsHEemwIy4+QbItN1ZWo62zG6tWrRTT+drKCoyMjSA5OQX2iHAU5Baiu7UNcyEeXOuZHbulBVPj40hZyLpLw4qu9na4IiPlbbUorwj9o4Owu0Mlxh+dTX3hDA4NobK4HH1DfUhK8jiP5+TkoaOjFUaITXjSWF+L1ja+LQ6LI+vwyAiqi0rR1tONcIdDHKcLiovBsRhTj2/bfLukg3lba6s4mPb394vD8vjgKKJiooVvx44dQ3d3H2yGGzELGZup/O7t7gfj733329/GF7/w/+GCiy7GHx5+GJdcdhmqKqvQ3d+F+VkDyclJ8suto6EZfcNDSEtNlY2suroc3b2DSEtOkvh8pKelrVXidnKO6+vq0NndgZnxGaxdt1acXpkFmXzjr1++fZcW56Gvpwuh4Q4kxCegtKICLa2tGOjtRVp6uhgP1VbXggYkafEJCI+IAOnp7O6GMTeHOGY0rq9HfWMzpqemQEdjKtQLC4uFt3RkJ5yCkiIM9XQjxGFHYkKiRFVpbG5GT28vVhBOV5c44U+MjCNpwbmfD//eri5Mz0whISERNJJo6+zCzNQoVqxYKQ7AdZXVaG9vw6rVq8GXkNysXAwPDCM0LBQJCQmoqK1GQ2MTers7pA/5Xl1di4mhUURGh8PlikJOXh46OjsxOzWFhMREVJZUoKe/A2PjUx7cWjtRUVmOto42pKeli6Nw9rF8jE6MITLChYTEBHmINdTVobW9S+SaRhS1FRXoHRhBfHyshwdFRehubkWoPVTWJJ3CKdfT09NISU5Gd1cPysvL0NnRhsTEJMzPzyO/OB+D3f1wRkV6ZLS5Ec21zWhraxGa+Su3qqQCY2OTcEVGgLGDC/NL0d3WDnuYXeAUl5Whp78XobMhSEpJQndPD6qrKtDa1C5xKkNDQpBdWIj+sV5EhETIPTqF11ZXSpvVa1ahs68HVcxKPT6IpIQkGDYbCvKL0NXRLjEZY2JiUV1VhdaWTsyOTyEpNVn2EK7TjvZOREa6MDc/j9KiEvQM9MAVESmBI7hOKyoq5CU8PiFBXgRKa6pgTMwhITlJMnUfy872yBs8+0FpebkEFZiY8Mgb1xzhcA0ykAILDVDae3vhsnPfiRdH6tbWdkxOToiDeWdbG6rq6jA0Mox0BmxwODxy0N6KkBA7YmNjUF5RgY62TsyGzEhQAcprTXW14LJq5UpxVq8tLcPk9LQEtQjapq4+qTyx2rKyCsPldBopKSnG1VddY1z/HzcYn7j+euOGj37UuOH6G4xP3HC9sWvXyyc26NvYeuMGdaLRWTqqVlQsxXCZLqavp8ugDk1V6hoalE7EdNasqapSDWHk5+cbubm5yjYqR0p2JJyquhrlGD2kR6OTIj08N7cqYyMjxiuv7LSqlvsdXV3Hn90v4212Vrbxk/++x1ixYoXxqU992mhoWJpoVc7uyVtFIS06ep565imtnrSqYins5SAJQ6eLoCyp+Mb54RyqSmFhoVFaXq5qYpRUlCjrRd7q1PIWCD1lJWVKOC0dLcZf//IXZZtA4Cgd+Q3DmBybVDv7U3fZ1qKdnxdeeEaJKxP51tUs0yctk9mOtg6jr8/H2X9ZPQHU1VUpEwKPTUwaLU3L4CzD7I03MrU0k2/Wq9QwpiYmtHpf6jdPVq77hjyBB5aRcFJfg+qgfe+9P8Qv73sQNVVV4tAatKfv2zTQP8RBO0i08XhA9HQay60ggTvpYQRfhc+QCgCPSHY+9RR+8PN7cf65F+Kee36EM898j6rLydXx+OZN4npygN9Eb/Po7B0iB3Ls+A7B9WRk9k3M5Ml1eSfJ7MlR6rd3UHVsExMz2Lxhw/+Khxq5Ra2QzuRfF7yzomrp2b2/WSjOK148u/fXAFiiB/LXhEcR/JmvKqWV5d6zbqt2uoDNy3VS/sZhvEtV4YNJAr0qGlHv5c/A5Nnnn8W5556LP7/2Ov740CMSTNnqoSbBfDX+ZTxWq61QB8h96a9/VWDqqSotVvtS8bjL1E1YDXbk8KK+1qqNLoBxTkEeSsrKrLrL/cMZB5X1rORRqaowzuLolNo4gckuVYXzu+e111RNQP8znTEMY1Dqis6PjfU646vDGnr6e4dR31ihRIWypvNT625XB0kW3Ve1Gk4J9wNN0mDdWhc41NsrSiD7wWEfXau/oah/89Xt+2tzoveC+mC74YZPoLK2WisgJ4rk29l+0eTBPxY0uFCV+Ylx7YY2OTOutIrk+BM+xhf+4BEPU0Hrr573pkentHB0DtyEoYMz556yQsF7f2hoyHvt74IPAV84f371VXzwgx/Eb+9/EA/c9wB27XoFGzZu8td18Z7NhgmNZRjhjM+YqvvFrr5XQ0Nqh3O2HR5Xb/KEo3uw9Y6oeUI4M2MTvqgddz02NgGdTA5pZJaD6sZg5Av3pJpvExNqeji/vYP9x9Hge2NmdNxrAOF73/d6ZEK9BtnW1wjMt695TZ2mabRi3lv+OaGZnxn3BEaH1b6i43OzmJlSr4+JGTU9lKPJSTWcQPYDnTzSNVP4spwRPt85hk5WdPLG6Ca6MXxABnTpNRgLqLWmUXJqMrZvvxrvv/RSfOPOO5CaunpJDxtmsXHze7Bh/fol90/VL7pfa8TbVLRa0RAWqw4HxH6u+EhR2ocrMutSgasqxEMVHod9I6PVIYHYRjdGlMsFnc+m066GE2YLQ1SMdfJP4kHDDP4x2vldd30dHR3N+NZ3vo/P3Hablw22AHLPOeOtkz5yICZJjI5Wh/dKjdGbK0c71HBMerzI+7lIdKldBtjFlaDmbVxUlDazdVKSHo7TqZ6f6MhwSarphwzvrSinGg5lLVERtosDhTEBryZDdowGV47jcKjXT2REhDLUHMfQrXWnXS9L0ZHRYJJQVdGtQbuNRktq95GYuBjtWtblbgxDGIQvCmQp1zp8YxaMUayGoXtDnGY/sOprdT+oOjbm2Lr++uu9sDh/c3Yb7HNu7+c9P/kZvvntb3vbnMoXZ5x5Jn5w99248aabTmU0/1fixmOh737zBzh04G/40jfuwi233CKpf/5XEvsuUe9y4F0OBJUD6leHEwR1xZWXo0xyKpWgrLAMuWVlyM3KR3ZhMfJzC5GdX4KbP7P4xn2Cw78tzVVHkfwZrjvHpn5gcHhYiXunRidFOL6+Vv4GY64lmqGrCvVJquOHQOAIPRoHYOKqgjM1Piq5nfzhShPpz33xdlx68YVIXZeE7NISfOVLX/L7UAuEHrZRFUZB1+lweAxK3ztVae1UOxrzQU2dhao0tjYr+TY+Pgcm51QVmmzr9Ek6mQ1UDhg4WFV0cDg3GRp9H+dGxzfd2uBxmq4N54cBl1WFucZUhXB08haIHOhwJRyOoyoMUqDjv8AxjY38DBYInEDoaW6uVx7zcn4pt8EsQfVjc4ZHICUtDWlpqUhJS0FqcgrSV6SJzxD9hng/OtLjIxFMIt6qsX51//3YsG4dznrPWXBGONHe3gxGyIdhg9MZLn5EnJDYqChEx8TIBjkw0CNtYmNiMTk6ivzSUgz29CBqIQIJnTMHBwck8WNkZKQsuOKSYrjdM4iKSwA3i56eHlBXEhZm9/iXFRWhoaFBju+io6I8cIb6MDoygZiYaPnOILwT4+Pid8Sf9kxyOTY2hJCQUPEdo69LcVGRx9clKQmjExPo7+3H8OgQHGEOSZTIhyMdb50uF2K99AxJG9JDAczNz8fw0BDM5KSEMzExIRsyfa24WOj/wsSWTGhI/yIGKx4ZGZFjPyY9LKmpRVtzoySdNfnW2NyCB3/1K3z9zjvx3nPOxuc+/QWcdc4WpKWkCv7cMMxzeCY05HcmoZycnENaWoroAnr6yJMBGKFhokskLbW11XA4wsXfxxyD4zCiBR1qS0rK0NfTh/iEeIGzfI6ZYbu6sho2e6j42HGxkx7OT0gIJEFrTX0taktrIFFZYmJk0xkYGsDM9Iz44HHxU/c8NDCImJiYhfloxdj4CIw5iGwJ3/JLMB86i5SkVOEneUu+Me4fE8HW1JWhrr5J/AFjY2M9cAYGMDIxgtjoWFC26utqMTY4LGuNfkUcl2O43W7xA2ttbkZObgHsDkjySDq19/b3YGR4RHjEh1pFRRlq6uoR7XKJXPf396J/cABjo4vyxjkeGB6GKyJCxufloWMAACAASURBVOULCXk/O2vA5YpAfWM9SkrLELqQ2JIPqIGhIWlDvzfSVF5ejPb2DiTGx3vg8CVjYATDw0OCC/lGuaY+1uQb55Df2Z9y0NhYj/JyjyEFeTK+sH7o0xnpihS6mdi3tbkVsfQlXVg/fX194vdJueaLZ3FOHianJuVYzVw/Ju89cBpl82VSVco11wLXKWWfck/+MmEmk8ny6M2E47sfkB6+fDKZrHf9dLZjZHQEthCTnkahmfPAyC2E09fXhdFRZlOwi1xwndY1NCDS6Vyy78zPG4IL4ZRUlGJ+ekZ8Cik7nZ2tMoYRMgfu0/SbLK2qwuzMHFJSkj3rp6dD9i7uB9RJVtVWo7WlFeFhYQLH5P3c3Axcrkh09najurwCff39SElNhj3ULvLGfccwQmWP5MO1oqLKm0iVckDes01MTJysYyYdpU8ck7EGq6gPngOA8sjDD8uE/9d//ZdkPeZ3Vfn4x6/H9u3/rmoSUB03GDJo9eqlejyzs/nWyc9Vq9RpScw+yz+pY2PmYvN83szFZIa/4rmwg2fMLo/eg+F0JNTQwkBhjgjELNSZ59CJDInk85YkujG7E1FxSXDabLBHR0tWZjrKhnP3AcSJmYvZuaBTolNz9NyiTodju1wuycfGa557r1650hMxYAEWdWOsi0tIEPhMXxMbHi5t2J584mKj8LItC0N9+dLDdly0/DT/mLGXhd9ZSA+vmVWYhYuec8TxzTap0bFodjiFb1y4TzzxFH793/+FD155JQqKiuCw2UALTuoSyF8WCc9EWhZMw006Y2M9uBJO6kIwVdPtwRUTBac9yqsbMUM8mXhQx8C5Y3v2Z1k+xy7qrBw2b4gpoWflSkzDjXDYMMeNOyYObS7PWBwjPjER8+45hC4EoPHMsUNgmLDT01ceJwd2pw0xUR6+sZ3MIeldcOVIjI1FX8+Qd36SExM987cwxzFRnjm2U5+0wCeT90IcdU3OGIQ7bIiKSZBbkdGRiI2O9FrlEm5sbDScPYv0xMYnIpaBuhcGEb5xU42M9OpXmO1dYHpxiZH5pkyxeGTWY2xi8sDlikFExIB3/STGJ2MucgYMfMwifFsIQWX2SUhNFr6a312uBNHBcS3yHueHeDH6iLRxu5Ecn4iJkUU4lGlJE7WAK9eVI84lfU25olyzP+XWxIXhsEgP73EMU2akAeUgOR5TY2OwW+wHXFdRLiciIz19OX56arrw1TTD4fi8z/WzHI6JD9MJTUyMePXUwluG8lqgh3CiI8Klnn34t1yu4+ISZJ2lJHjmJyI8/Lg2fFEYGRjzzo+sHx/XjCinC5QFlysaoQv2Acv3HXP+UxbkYDnvWc+9LZBMHcLnQP87KS84wzDu/s/vGO97/0WSKZeZUpl1WvX3u989dFIg6Qz4gx/8wDh769nGRe+/yO9YDO55/fU3GNdf81Hj/37pK8bWc8/VOrb6G2jTxg3G45ogyIEELGUwUVUJJPiqDg4DzuoCidKBVFfozKoqdCDW4cusyUpH49lZo7i42PjDH/5grF27xti2bZuRX5i/BOzU7LRyDDbW8YRthsZGloy7/AtpUeHK9sRNR7MOF8qADo6M4cdh1xdnHRxmte7SBGTWjUF4Q0MaOQiUHl/kl10z0PVxAQ6WtaGTsI5vdPhXFQZS0NEckBzkL5XR5TAFjmaNBQJHhyv5MaKBQ+drXeAB8k25M83PGxOz6gDUwaKnoyuAQOTLGa74DkXdKVnF6BJVdXWyIb7vfe/zi+MnP3mLcemll3oXxD0/ucfYsnmz1kN++WCBRPfXRTDng1gnqDoBJF6nSnT/QOhR0ctF+dQTT8h8nH/uucZfLCJPnGx0f5nL+Xnt4iauusgJy+XC33fdHKp4Yo6nkyW2a+loM5u/6c9A4Ogi5vcM9Bm6FzbdGIEQwLnRvVQEAkc3x4HA0eFLPHVR91mvkwVdvcAZ8IleokPMol4HJ5Do/uQb16qq6F64VX3fbF1QjUcC/ZV4Mu3WrVuPjevXY80a/yna6cD61FNP4LbbbvMcRQC46cabwNhoO3fuPCHQPAhUGY9wMJ1jbmN9s1c3ZAWcuiDzyMOqTU/fgFWV3GegUZ69qwr1WDo4PN5VFR4Z6I4NeLSwvBDu63tfxxVXXIEf3fMjfPT663EkLw9XXXXV8qbyfWCgTwtHhythMrGjqhDXZk2E+Ud3PKoaQuoqq9W8p17P1y/P34DUW+lKfbU6kWXG3v1LAkz7G6+8XA+nVNOmq7EVozNqYxidMRPldceOHf5Q9N5rbG7U8k3Hew7W0dzhHdPfBdfpkMZP7dVX1Qln2b+jtcvf8N57za0dGNH4EQ4NqNc6/eB0MhvIfqCDMzk3CfJfVbgGe3rUvC0vUAcvoGHW/v37VWBOuO4d92AzKbR5T/zNO57PJx73bELbtm3zVqxet07SIjz8yCPee4FcBBJ5ROfTZVPn2POgYaOaQD0V9sWEAYGg7reN2z2vheO3o89Nntfriu/Dk9d8cH/4wx/BFz97G7Z/5FpkZuXi8ssvt5hB3ejBrnfDPaNgLvUWukmmjpHzt6DjsMJQN8fuaQUeC4MyKa2yaHyk2NcdQBJXmyZxKvVgdrdaFmwBwNHJkw1hWr7a3Oq1Q5pnNbgw0ahdQ7MOV+qEZ21qx+kwzGudxc2sEVbzTAlQyqx01PPE1OtZwaECV/hv2WChQiOSs+rsRpqZ0QG3qH+zP/Xe7n4fuPRS47ijyPl54/3vv1QCMS/H7+yztxpO2LzHk8vr/X3nUaROx6Y74qBeS3eUMjA05A/8knu6MdpaWrTHbhxDp6/QwWG9ro0Jo6amyviP//gP4+yzzzYeeOAB75EfE1Tqgi0HAkeHBxmoS6ZIHYJunPzc7CVz4e8LA7mqCnWGutI3oE8eOTCkPoKibkUXILevR40r8dTybWxMK0u6MXiEyODdqsLjMlOerNrp1iD76eaY61Q3RyUlmuDR1H1p9H1DAewH1FGrCvmho4fHzbrg67qjZIGj0eURDx0uuuNZwtEFslbxw1+d/rFu8UA8FW/zTYdHPjELFl++OMbEODEFNwY1IXx8+2gjj5iWV76dll/bbNoEhro3ef7qmZkJWT7yku9RCQleC7UlFT5fOI7qrZOWmCFuNRwOpxMampjf9c1v4pKLL8H69etx9OhRfOUrX/FaFtrDwrEiKc0Hs+Mv6RagK76/DP21FXo10Unck6EI0xC0bv0G7RGuLjKMe3pWO4ZjwQrWHy2855k/tVTSAjgpJcVqCLnvcKoJFr5qThBMq0slIM0YyQnJWLdunXIIlbyaHXVtSI/QZHbw90mXCo1kk7e6olvLtPjVJRJliClt0fxyp5WoLrrP+IQ+jJhunslXHT0S4USBL+dvw4YNWpJPpIFawk9kJEVbmnRrBUvRP9CqeR6yuOfgLzLV1JSpLfOQTHx4RGb6bpmfHt8n+j/VYlDjsMm4itnZuUr0qI/SOUqKzkMx8cS1uFgdULa8uFj8x1TIUIejmofQOTdyctVwmpqa0NLl/0yd/jO//OV9+MiH/x1TE8M4fOwIfvzjHy81i2bix/FxvLpbra8gz3S6vOz8fK3+pTBffb7f0dWM1g61XuSpF3ZqHbQLiwuVR2ZNbW1ap9qso0eV9HDudDpdJpjU6Zz2H1LrMwgnv7BQJUqgHOgc20mPqrR2tOKAJsFkWwB8oz+jqnD/0ekvK8ur0duvdnp++eWXVWDE56y0vErZhs7zdKlRFR09dHXSwTmUlSVzpIJTXlksofys2hCOztmfcqCjJzc3F1OK/a13sBdHDh+xQuNN3Vcfkr+JIQf7+/HUc8/gU7d8Snw97r33x/j97x8W341f/OJnuPrqa9/EqMd3cVPXsywwMP2+6P9Bp83lpbO7V/xiTF+m8clxXHLxxZiZmMAM3X6858R88Llhm3FjZGYKRw4exHnnbMHmzWfhkR2Pwe62YfPZW3DBe9+LJ5/cgakF1yrqjBgRvbS6Wja4z912mzwc9+7dC8Y0HJ+cxDlnnYVXXnkFfUNDSEmIwUc+cp1E4Kgur0Z1bSM+/rHrxMExYyHK+zXbt4u/zY5HH8OM3Ya5ObfopnIKCsQ5mTTe/pnPoLm5Wb7zFyvpo+/S008+C7cDSHDF4LqPeeAwwzY3vRuuvwFdAz04uPcgqJ64ats2+TX19NNPYmLOQ9Bll10GwikvLsSczY7P3XorqksqkXH0ICPKwn3pFdh45gY8/NhjoMMmE0++tnsXNm46B7d8/tOIj4zH6tVrhZ7X9u8Vvl1+xeVIiIvDMy+8gImREby+fy+uvPwKPP/885iYmsDMnBufufVWeRGgMtlmt+Oq7duFnuW8f/3111Hf3IjG6lrcfOvNGBwexJ7drwk9H7zkEqxesRrP7nxenHBn5qYkgPKLL72EoZEREY2bb7xRkjPmFhZibmoK27dvl18Pjz7ymPDt3M1b8d7zzsH+vXvhnpsRnL9w++2gfO989VVxyL3s4ovFR3Lnyy+LE/TI2AS2XXklXt29C929A0iIicF1112HsooKZGVlSXbsGz76UXH0fvjRR8XJeMvmzbjwggtAwwQautCB+nOf+5zw3tzgLrnwfKxffzqefPZZTCwYoVDeXnv9dUk6S/+qm268UTbv4sJCuOfciI9PxLq1a/HYjsfAKWV81g9edhlef+01NNQ24emnn8ZNN920OMewgTI7PjOFZx57EnN2N6ZmprDtiiuxf+9+1Lc3w2Wz46abb0ZleTlERm3A9m3bsXb1ajz25A7RlaxLXw3O8yuvvIqmFma/7sSNN90s/onFpcVcWrjtppvE/4n4zzCjd8ZBfPCDl+FgxmHUN9dijrjceqvA2Z+RIbEvt11+ucQTfHn3bpm/9WvXiiHS888/i46uHtlcr7v2WpRVVSE7N1dk54arr4bNZsfOnS/IOuUDm3LtMayoFlkhzUVFRTianQV7oQPbt22TfeLPr/5Z5JFzvGnTJpkfGn2Qb5zTqoY65B/NlTGuv+YaeWGkHHj0VvO44IILkJNXAKEZEN4WlZTgaFaW4E85SVmRguee2gnY3dhy9lZccM45eGXXS2jrGRDjkI9d59kPDh8+CKqBP3rVVXLi8sKfX5Z9a2pmEpddcgkeoQHOwoOD9DAzNh9IzHZPPzH6Oz727NPC+7Nl7zoPr776Eprbe1BdWw+uBQZweH3BgOPq7duFf6/++WVMjc1gamIMF154MZ7c8SzmbFNYmb4aV15xhcDh+nHPzOETn7hB9pBHHntM6DPl+vlnd6JnqBf9vd342MdvxMHDh70PS+Iqc1FejeTkeOkXtP/8nU++2Xs8a92yeZPhstuNtrYOIzsrywAgfko33HCD6L50iRIDhe1Xx0a/uru/JTB9TYB57u1wOETfY47Pc92Wtg7xb2tqapFP4mb+0UR11Zo1xm9+9ztLs2aeYdN3z8o/jDDor1VeWmrQH8dfIc8OZB0whgYG/OoS6GdCOAcOvGF5fk84mZmZxr4D+/yOQbjkAdvIebeFrxTh7NPAoU6ENBEmy3PPPCM6tM9++rNGeXmpMTYyLbiqzN872tqMp56yTt5JnuTn5hqVlaVeOMt5J3D2/d2jR7Cgp6+nxzh6NMuab1MTnvkpL7eGMzZmPPSHh4yuNmsz+5GhAePAgUwFnFmjOD9fEkiafDuenhGRJRXf+rq6jEOZ1nAoY5lZWUZ2dpYlPZSDv/3lLyJvy3EwvxOHfX9/QynXJYUlRlNDjRLO3//2N69e1Rzb97O8vNx4YedOJZziwkIl30jPvn37lHCY3PPAgX3W8zM7a+TmZouex2p+COdPjz9uDWd+XpJyZh3IVNKTnXVU4EzN+/cgo/8g1zr3A3+F+FGffujoUUs4XD90o+FataKHcMg32Xf8AGK/jq4OIzf3qDGm2Luys/V84x45YuESQFy55+7atcsPFm/+VlD92Ha+8IIRE5MgmwVR+sJXvmLEJSR4FdHvv/RS4zvf+c6bx9an56WXXnS88YhhGA0NTfIA/c3vfuNtfeholuFw2I039u3z3gvkYovOeGRBmFVj0ceDi0JV2jQZtkXIOjpUQ8iC6+tTZ+ru6eox6ERqWebnDd8XAn/thkYGBBZ5edH73mds3XL2cXyVMRRwAqGnLwC+EY7VwjVx19FDwx2djyBffLRw2tTzMzQwZNBwQFV09BAHzqGqDA30aP2K6jTZlwOZn0D8vnT+ctzUdPMTyPrhi5Kq0EiiTeP/xxc+4qMqWnpmJ7QGXOSbbj/o6lCvY48cqNvw5UQLp6tNKdfkW1ef2qApEL+8trYmJRwVz99sXVB1bFnZ2bjkkgtw1llnSUibI4cP4rz3nucJXwPgnLM2QZeEMtCfonMzNizqzRZ7rVu3Fnd+5248eN/9ogPg+Tqvr77mo3IUs9hSf6U197fZEBOTrByI4biWhN7x0zpBk9aBylUq2lWFoYBioxJVTRAVE6U297fZtEli21vb8dlPfxZf++qXcc1HP4qs7KO44vLLl8BdHnpnSeXCFzPUjr863ouNjFAaurAN4egMB3RwGH7J4fCE5bLCJY5807g5JCyEJrIaQ0JXLYTtsmpjhiOzqicOTpc6xQ5pMUPAWY2TxrBqikI4xEVVKG8Mw6QqPHbWFR2cQNaPSyP39nA7EuLUNDO0ms4IQidLTPOio0f4ppGD2PhYHdu0hiE6WSKAxMRUpVzbw2zekIBWCDGUn25/i4pSw+ERsc4OwQq+1f2gPtgS4qIwPDwpsLpbO+WM/AOXXuSFXV1VDzO2n/fmCV5Qf/a1r30N+YXZYvjxta9+VfQ7vsN8/7vfxh133IkP/MsH8K//5/9IxuUnHn9cOYm+/X2vTZMT33u+11lZe32/HnfNs24aVaiKOLIqlKvs29iidpSkPqa2QZ3ttqywWHQoKlxo0eivdHd34tZbb8O//uuHcMElFyE3Nx/f/OY3/Qq1TplMpXRudrY/MN57xIOKaVWxwtXswwzaOidhBu9tqG4wu/j93Pnyn/3e972ZW5jv+/W4a8oAF7CqHDp0SFUtdfnFajhH8/ORn6tucyhDD+dovnp+qqvr0D+ojoZ/KEttPML51Rlk1FVWi1GGijH5+XrDA90ckx7dOj2UmalCQ/SvHEdVWN/drc7Q0N3brRpC+KGDw/1At350GbSHJ8fRQJsBRWlpa0OtH5sG3y5HD6n3yOnZSdTWH28X4TvGiV4H1Xhk+5Xbcc89P8G9P74XufnZmJmZw/U33gxuHr+/7z7s3XcAd3/veyeK45L2jDzy61//Wv6WVPh84Rvn7V+4Xf58bp/wJQ2r1cbVHFL9bhDmpqWm7vHo9gRtVZhHB+CDqqWPTrUM3HsihREOHr7/fry8Zw9u+eQncfvtnxPjB9Vbmm4DJ3z1Fu8xbT8RPP22tdnEStZv3cJNckPnVKuYlsWhvcZHi7eWX5Hmk15wGmdxu9sNmyappjtcLwN2zQTR0djhVDfSeFoIe3S/hKcDYJg/K+jlvJ9X/7gEbIb6NIMyq3n5FJhhagftUDfr1bvKoiHbcioWv3vGWfy+/IrZD3RFS4/Qq/GupkxrZJ+BwlUl1B0Gp+ZERNXfb92bPcO06vetb33LiIqKEj3Xj370I2n23As75fu3vhUc/ZoV7GDfD8RBm7ErVUV71j0/7zn/V+ikOH4gTqgqPFhHXHS6IvNcnmfnP/nJT4y0tDSDc2r2Ix46XMwxdPio6jkG8VUVHR5GADrDQOCocDDraKCgKsITzRwH4qSq0/OocDDrAjHg0jl5c27GxvwbQJhwdLo8s53qk3BOVvfF8XWyxPqTlVsakQUDjg4P8kMHR8VTs04HR3R5AaxB3Tqsa6gxQfr9JJxAZNJvZ4ubQTUeMWEwCoMvsbzmglQvA7P3qfMZSBDkQKIEKA02DMOYndZEpZif17ZhVHedIj4QOKTnuSeeMlatWmVcffVVxwkchdB8yFnNlI4ntN6rqtELOx9MqqKDw746XAOhhxHoAxlHhWsgcLTzE4CsdHR1aTe9gPimkUnhh2Z+dPRwY62rU78YBgMO5Sig+dPQU1perppiMcwKBI6uTUDzs2CVbIVQU1PDkj3YXzsdHOKpwzWQNoHA0bXxh7/qnvo3ot/fePqbkjeqrw+v7HoF5eWVotui4jWAUwX94P/IFnNzGFlIoukPLB1U6YdhFdyWR3J09K6urLfUr7DvkWN5GFPA6e/vx5FjxzA+6v9Ik3DqxUetWgknJy/P0qmWY9A36eKLL8Mvf3s/djy5A7t2/WVJZAiTHtLEa3+F9OQcO+aB4+/oxu2WILB5x44p+VZRVibn7lZwpudmkJd3DIP9g/7QEPw4P3nH8pRwqmrKJOmiFRzq6TIOZoj+xC8gt1vGP6yRg4qqCklUawWHfCP/VU7P/b294BxaytvMjMgbA9cq4WTsx9T4lF9yeJO6psOH9XLd2tmuhEMfNCtcCaervRU5ORp6qmrR2GydWZzj0zfKCg75QAfgwwcPW+LKNvQxoy+Xim/ZpgO9H7kWON3dKMjLw9y0/7UhcIqKxLdTBScnJ8dSryhw+rs9cj3tsWdYPpFsU1xcipZ666Dn5BdxtZI3jsG68vISS1mZnpxECfnW2qrkG9fG8KD/dUp9O3Xy9EsNZglqBm0ixmzDN37yJtzxta/h+eeeR3JinGSI3bbt37BxwwZsPOOMYOL/lo71qwcfxPo1a7DlrLMkE3LG4Qy01DVhDgYS4uNRXlqKju5uxERESHJJOtiWFJeioake605bh+HhYTFsmZgYQFxCHFwRkaDQ1tfWo3OgG6vSV6KxvhEtrS2Ym59BalIyunt6kJ9fKGMkxScg3OlEUXExhvr6EJngApMM+oPDjLrG9LTgwYy3B48eWoIrrY7amtowPTuN1NRUcZjMPpaPxpYGHMnOwX/edRf2H8zABy65CD/60U9w/nnnobm+GUUVRWioacK6fzpN6OGLyuT4BBISE8RwZO/BDLTVL/JE4LS3Swbt1LQ0DA4OI6cgW8aIio4UehjlZWB0FPHRsZK5urG1GcW5RWhqacCqVatlQdXV10sCQjrcU593OCMDdU0NcBsQ3je3tqCpuhnjE6NYs3atOGgfPZwt9ERFRkkfZl/uHe5FWGiYZD3mQ6G+qga9gwNYkZ4OvjA0NjSjb3AY6SnJgtvyOa6tq0P/QD/mZuaxZu0a2XCOHs2W+XGGORER6RIH38GBPkSEOxGfkIDivGJU1FSgu6cXq1auBIMDMGPx8OA4EhLjl/Btam4WSYmJaG2mc3YbZudmsXLlSkxNT+JgRhaaWxoQGmoX+SsqLUVvX59k0GYW5/LSIlRU1qCrq1Mcxbt7+tDW2oTpoRmkrUhZQs/U9CySkhJRW12NtvZuuI050ZUukaU1awHDQHFJCfpH+hEZESlOt9y8Kiur0dbWjDVr1qKbGcFrqjA2PCr1nJ+DRw6jubYBo+NjSElJkRfart4uhMwBqWmpCzJLuW7E6lWrxTm9sKgYM+5ZRLmikZAQL8ZglC9z/XT39aG6rgqjQ8OSCZpw+IJXX1WH8IhwCQBBWerq7MHM7LRYyba2NqOoyLMG01LTJPN4fl4BhiRDeBRiYmIl831ZWYngwnVKOaitqMLI2KhkoJ8LmUNWxlGRJWaFZsJNylLfyBBC3QaS0tLQ3taGwsJizzpNTEJYaKjwbWBwGOERDuELXzAK84plHMLpbO9FU2MdRqfGkJKQBGMe4KZPek255ktjR3Mr5tzzQg/7FJTmoammCbSWtIUBxYXlGB4fQlRktODG9VOaX4TxyQnpwxeg+tZmzMzMIj01BaF2Ow4eObhkP6iurERLWyfmjTmsSF8hMpp/LBcNLQ2Ii43zzE9pKUaGBiUTdlx8vLzsNDTUYmhkFGmpqejs6pKM4cyQsTI9HczYftz6aaxFZ2MH3CGGyBuN6cpKy71zzOwA1dXVsl9s3LgxePu56ufcidbx7Hfr1rPl7+WXX5aAxEwKymPID3zgAwsO2uqjhxOF+Va237hhgzhlWsHgz3BdYFQeD+rOw6uq1MdyY9OThq4NnTFzc9UBZakPNB1DeSx89Gi2cdX2q4wNGzYav/vD73huZ5RVVFmRK/dJT4fGJ6isrEZ5dMoEhzqHTMqMlm91ajikta5KLW8dHV3aI9xnnnlGq3+pqtLwra1NezREWVId/fC4RqeHy83PN8pr1LjoAg8Th7JS9RiUA3H2V0hLYWGhopa55VqMv/3lb8o2AsfCWdnsWFamxnViekyb0JTy5qs+Mcf2/XzxmRd9vx53TR2b7oi9qaVJC6e0ouK4sX1vMDiBLoh45oFMrazojtgpb00an0cGstDxrbi02Bf9466HRkaM/Gx9oPHjOipuhLAuWI/JZ59+Hl/7+ldRU1Mn6eU/9KEP4X3vvwg//v4P5afqeeedh+1XXYWf3ntvsEC+peOcdeaZuPPuu3HrTTe9pXCCMTiPDiQAq8YCibBo6fjNL38VRwpy8OADD+BD27bLr4hg4BHoGIJvsC2hAgV+gu3eSbgKaTwqC0AOTpANb03zd3F9S/hKi0ddQOa3BPApMmhQdWyFxbm48MIL5aFm0seYiyw06z3//PMx2Kn24TD7nQqfWgdtQI4WVbjyqEfnH1NSXe6N9WY1ls5ni0cY1BGoyrFjObj99ttx8YUXYvP5W1FSUoZrrr1uyUNN54NGPHS4dPer8aDTPI+QVIV46ODocOUDiUdIqtLd2al1DmWCVF3R+ct1dw/Sh0E5DPW1usJjTlVhsN+yihJVE20iUnZmvEFVqa+vt9S9mP3y83PMS7+fjIu5N0Pt48TEqpQXVSkoVQdBZt/aWrUfKI/IRoeHVWBwJEcdIJw6KZ2jMfmm2w90ck1+1NerfVZ55KzDhbKvKpPj49oxZD9o9+/7ao595Iiab9T3mXFRzT4n+xnUB1tcTJL4rPki5fbxm+KZc1islDsnAgAAIABJREFU3qvet//bfe3fXGMRq76+nsUvfq4mBoctFatm87HeYe0btpVy3ByDi4ope/wV1t1333246667sPE9G1FWVobvf+/7ogdY3l4HhzD4wFCVqRF1PfvqFjfxsKLHhK3DlXjOLAuUbfY1PxmEd1izcXZ3qh1mOZZu83W7pzDuVvPFX+ZxE0/zc3DKvxLerCdfR0YmzK9+P0dG1Bma2amnR51JfWp0FJNu/8YLJtDBXk/AafP78k8aTHW3q3k7NTmKCc0cjvGlQVPm5qyNZdiVRgzER1WGNFnsaWikkyVmtpiZUcPRrS/Wj46q6eGa162PGT9GML7081ffYL/6YU8YU2NqekaG1PI2P890Yvo59MVNdx3UB9vHPn4tSosL8cgjj3g3P5vDkwuJ2av3vbEP11z1Ue2vEx3S/6h6tRulBwu7U90qNDpCeyQQHu3Q8oSheFSFv4uXLwi+cTFi/6WXXoTB3n58/4ffx1dv/7LfB5o5tsOhhqPDg+PoQjoxKXKMUx2yib/wdc67gdTr8roFAicmSh8aihH2VYVwdM7xgfDWaVeH/2IoJYdNLZNOu5r3pCMhTg0nhCHPNBm0nVEB8CQ6WsU2EA5zmKmKPUaNK/va7WqNS2SEPoSbPYA51slkhC0cdpuaLypazbqIiFDz0u+nK8qlXz9+ey7etNnDEB2rliVZPxpPfB3fEMo9Qz+Hi5jpr4KqYyO4++77Jb799buw5fzzwbiCiYmxsNkcqC0txe1f+Qp+/cCv9VidIi3OOPNM/ODuu3HjKaxj45vmU088gdraZrgxhy2bNuD6T9yG3NzD+N73voft26/Gtdf+u6TeOEXY+i4a73LgXQ68y4G3lAPqV6E3AZoxGl954w3ZSFevTofDEYUNG9bjT889g1/86hdvYsS3t4vqKJK/kKgnUBXm79L9zNbFbJtSwNn96m7k5hZgaKgfI0PDeO7l53H++96L733vu/jVr36F7373m96HGs/DVWF0hJ52tS6CtOjoaaa5suK4kr8k92eok11293Zq4ZAeJnu1KsRBp6/g/NAtQ1WYN2xcc1zZTt2x4mint78fk5oxqBNR8Y11OjgVtbViWq+iR6d7IRz6jqkKjzw5j6qig9Pb3avV92nhuN1oblXLLP0/dfpawtEdI+p8rUyfLBVPPHDU8qbDlX5yuj2DPmq6cVivkjfSQ3xVhfW6/UDkQLE2RsdHxeRfBedE64LqM82kmk8+8gh+88c/YvsVV5woLqdce+pfutvbRX8SHR2N3m6PPoCRwPmdGzizX/Ondnpqqkwwz9m51a5MTZVM0QzuSeFh4r3o2FgRFJ5tu+x28TmjcFVXV2JkagbrV6/E7Py8+G/Roik+MVGOExorqtHY1gweVSVz3NFRTFEfYLNJAkvGyuvu7EBeUQEcdicuuPBCPPCrX8Fts3lx7+7vFYMNnokz6eTk9DTGRkYE19RET1YA+lpVNzbCbncJPSYcPgzT09NlLBp9kB4aAjG6e2d3tyQl5FEcedLZ2Y3q6nJMTIxh08aNAkd0RzYgLiZOIqg3t7WAmxoXBSP0Ew71aaRZ6BseBo0G4HBg66ZNiJBxO6Xe5D370lBiw8QENmzciPHxOUyM9Qs9TPBJvyLy1gzQSvxlkdJazOHxMyLcyupqSZB57tatYkSzfI7bW7vR398rlqRnnnmm0M5xiGsU4YSFySZTWl4C27kXCN9MOJwf0seFX1tdKQlnz968ReDwgctEql6+dXdKwGbydsOGDUvgOKNciAiPQH1DFRobOmA72ybzQbyYVNSEQ7g97e2w221YkZbmhWMet8bHx8uDPm/BMGTdunVe3hOX1ORkgStyUF+PKJfLiz/l2oRDeioraxEX5wJjt3Le6dvmnpuDw+UCAzSQ96WFxdKHCU+XyxIXO3XuzJJOXnB+OO5yODSKIv5cPxGRkTKH5BEDPtCvjQZT5aWVsLltSF+5UnRlXBuUWfKepb6xCl1dbRJ5nzzwwmGGCK7b4WFUFpciKiFO1oYJx5xjgdPaKrBJF3GdnZ2VdUq+JcZ7kmQS17aeLjgpX4mJYozCZK2yflLTxcm/vLISLocDW84+W2SHL1asN+khL8rLi0U/Zq5Trh/yQDIHuN2obW5ET0eH3PPdD0y5Jn1dPT0yBv1AKaNeODExHr4JnFKJ57t+/Trhm8BhxpLEeBjzNjQ1NqGzpxObN21EaurK49aPRw4qZV/asmVRrokr9yrPftAp+w5pJD3sw32VsiJrsr8fna2taOvoQDD92IL6YHvt9b3IyDkmBJ1yT6k3gRBPl8N9UkzwwcTCiWNx2G0ixGbMWU4kF51ZuDCYwdfptEsWYN5nG9/iSXNhR5TT6RmXD7SFhWK2c0a7YHfYZUPmPS40Cuu8DZiZm8Ebb+xFV1cHtm49H2eesQlRMRGIjooFz669uMKjs3I5XRKAmP1Nekw4XBgMRsqF6QvHW7+g9zLH5EZn4mrec4rO0SaCTWEOo/N6SIgMwTb8C3c4RbjNPiY9JhyOa7M7YOcTe4HXy+FwQyF/2ZYlMsKG0NCl88PM5fznXNAbLuc94ROE076o8zB5YuLmctlk8fsebSzHhXxzOCLhsHv4xnpfORA87DbY7RFeEpePwRcSbngOp0e2CN+3DWm1h0fLQ8vELTZ2KRxuJnzOOXyQ9R2DwNmXc2/q83x5T8llPemRzwXeL5drygdl2kZ90UKb2AW5ljkRPasTNpeFLC2Y+DscNswbhheX5XBMHIijOc/mHJpwSQdf4EycfelhG86DMzICNrdD1iJ5sBwOZd7tcoApjMxxlvONcLghmzhxHLONOakOR4S8sJq48gEZ5pPah2M7HXY4ojx7AMcy5S1kweuK+4Xb5pSHGOeDc2XCkfmdm0NEWDjslGuXRy9l0mzyhJ/Ts7PCF3POTTjSxubZt2B3yB7GNr5wQmnwFwo4w+1w2lywL+jDTd6b9JrwTPi8b+Jq1pmiyP2NxR/vySPf9WKOf1KfCh+3E65iNtW4mCjjz7v+csJ9T8UOmzaqHbSJc1+fOokondZ1QVx1Do50mF0esJR9vvSlLxlJcXHGuedvNT55y6eN22//vHH7Zz5t/O1vf/fLTjpCKuMvzs9bZro1BwwGPRxD5yQcCJzlPDFx9P0cGhny/XrcdSBwmJGaTrGqMjKkh2OVRd0ct29gSDk/IgcaOG1tLUabJvGmzrE6EDjk2+yUOjGnTq6ZfFUX4IBwpmbVvLfKNm3ylfTocKFzNWGpCvc3VSEcWWOKRkw2q5ODQOjRyX5NVZU28ICOJyIHmiTJgawfHRyOQUf8YJagGo8UFBXgq1/8MrKOHsX6deux5rRVCAtbzBcxOzuN2277DG6++eaTehj/ozqfisYjw8P9eOq55/D80y/ijjv+L7Zt24bMQ5koKCiCDW6c89734l+uuALhgeTy+Ecx8l0473LgXQ68y4F/IAfMX4pBATk2MobI6Gj8y5Xb5KEWijDwYcbCT37XmoIHBZPgDMKDJWvTBA+MPXt2K4HxYa/LGi6OuQrlKgGUFBXh+edfxL99+FrY52x48cVnce2118qx5LYrt0l28I985Frw2uqhlpNjHXjYJEKn8KeOjboEVdEp84cHR7H/4EHVEKIb0zlx63ClvuZYjsZJuLUZBXlFSlwe3fGosp6VBzX0UHeiMnThGHv27NHC2b83Q9nmYEaGBPxVNdq961VVtdTRYEZVGDSY+hJVeX2PegzO744dO1RDSNxH0VkqWmVkqHnCriWVakd90sM5UpU9u9VrnfpZjqMq5UXlEgxb1UZrkDY4qIXDPeVk1w/1ojp6uBfo4OzS7JE0Htm/X21MpuKXv7qg6tguu+wy8O9/S+FDzaM1saZoIbCKZYMwN/VsltVSwXrqo0z9hG9rRrHf+dKL+Pk9P8PV11yDl158XpSuvm0CvWZCP+rlTrb4w3PJmJpkmHSzYkJMVWHywkVtparlydW53TZERGqYoqFHMAjgF7J+sc1qibH5KtD8tRb9pJoeW4ROqnXpcz2A1VAAONVzzFFMXYw/UuReAAlA3bpFCCDU835tCSZUjHAsq6VCM4S680LtbNgsKHOqwr1AV9waZ3/qoHVFy3sZQL8KdeOEacgJo2NrkIue+jcJkKGkGNaFhVZr69ete5Mjvb3ddL/Y1q9dq0QwLj3Zqxy3apiemO5VjpttqEzlG+Iru3bh4osvxJ8efwLnnfdes/q4T1oYmQYBx1Uu3EhYmYRIzQbsMWaxGgFivaVbNDFxMdYDcDOz2SXDgKoRLQ6dPoY4/trqcOWCMy3j/PXnvaiYKNh9ouP4a7dpsz7q+Or0VH9dvfdkbjRvOCtTTvO2t7pYuVINh/SaxjJWY6xdudKqynt/9crV3mt/F6mJ8bBpHJbTk9Vj0BJw7er1/ob33ktNjvcaEHlvLrtIX6enJyFVLZNJ6alavq1LS1sGeelXzrFpPLG0ZvFbclwinJrgBFFx6oAAzJCeGq+WA1q46vYDXT0NSpJj1XA4hzrDj7QVajkgd1au1s/hIhf1V0HVsRFcfXMzvv7FL+LVZccq73//+/Hb3/4eZ5+9RY/VKdLi7QqCzGMtRmpZmZyKL915BwLZiOhzwiIWZKcI/6zQ4EIgvsutrKzav933mUsqdpml6tuNkxX8d+XAijMnf59Hc+8UmSWuDlog+1h1nzwH3jkjqH8TnyAd3LBuvPYjyCkowgMPPID8/Hz5e+gPD4lfy9VXb5cN7QSHfduaj2l+MdAnTBcslo6UOmfK0spSOXbjefXHP/5xHD58GL/53QP471/9Qh5qhFOpCebLILy5hepgsDwL51hWhXX0DVMV+vHwT1WYv0sFh5vvq6+q9TzUn+l0HuS9Cg7lURecuLm1WQvnuZ1/tkyUaPJBB4c80+mKdPSQVp0+o7C0FAzoqyoMhq0qc9OTKChVB1sWevr7VcNAFwS5vbMVb7zxhnKMQPmmGoSbvE6u6e9IXy9VeeHlnapq8dWjn5qqBBIEmetH5exPenR6bhrwNTQ1qVCRJKGqX1uEo9NjE49A5FoFh/2DrWMLaqLRl55/EY/u2IGcglxsu/JDogviEdl5556HT37yk3jood8jLDwMF114kZLhp0rl7x98EAnx0Tjj9DMQGxeH3a/sRl19DRASIokrMzL2o7OlC1OzU0IrN53s3FzUlFXj9E2ny4Rn5+Sgua0TsTFOxMTEIePgQVRVlqOrrRtrTlsjD8b87Hz8/L/uQeaBTHxo+zasPe2f0dbahvSUNIQ7w0FFPhMbzs6FIC0tBWUVFSjIz0V5ZS3O2LgB3d3tKC0owdToGKJiY8C4d7t270Z9QwPoQcaklNyo6soq0T3QL0k2qejef/ggmqobJIFhaGgo9u7fj67ubrjn5+WocDkcCmD24Wy09XYiOSFRkl/yqNQXDp1/6yvrwCSTTJhJA4MDmZmoqa1FbAzj1znEqZyZyUNDQgQOo2VkHzyKutYGrFt7Glo7O1GUXYCmllakpCQJnN179qCyqhYhYMLMZBSUlqKlqR5NtS1eXu/dn4mG2mq4oiPgCAsHjQq6W9sxOTMt88P5qiqrRkdfF9auXiMvHNm5hehob0Z8cqo4JBNOXW2t+AGlJCeD9EwM9qOnvwsbNpyB0eFRvLb/NdTVNiDMbhen4YNvvIG2ri7MTk0hLT0dBw8fQXlJsSRiXLt2rWwOxcXFaGxuQ3JSgpeemupazE7MICUtRZKTVtXVgAlL1637J9kk9+3bJ8f5ttAwuFwRYqDS2tohdatWrRTDmJL8QrS2t0mmc3GsrqnB+GAfEpJSBM5ru3ejprIBo7PjSE9Nw7HDx9DY0YDulm780z//E6qrK3AsJ1dopgPt3Pw8/rp3H4Y7+zE7PYnU9HSBU1ZajIaGRqxfv95DT14hWluakJjkmR9G5aCz+9joqPD6cMZBNLZ3oL+3C6edtk4etjnZ2fK5ZvVq0a3tfz0T8yFTmJ53C27kdVFhobQ5fcMGgcPksN1d7YiP98gb10JdbTXCw52SZJNGEnw56e/pReqKFWhuqsOxI3morqsB4XBD3ZuZie7OHhghBjinfMjl5ud7aN6wQV7UigsL0NjWgqSEJLjdbryxbx9qqivEqpvHi6RnfHgcfSMDIqPc8PnwoFynp6XBCAlB5ht7JfGwIzRU+ML1k8P9oLYWJj1lhSVoa25FSnoqQhCK1/f8FVVN9cCUG0kpSZJItammBl09A0hfs0pkNCsrS3iSnJQk9GTuP4A2OviHhMhRO19kjmVne3lP3BpqayVBLo+mw8PDsWfXHtQ01nn3A/KN0WXaOzrwz+vXC5xDBw+iuq4O8XFxwoPMQ4fQ0trqhcM5ZoLS/qEhSaBbUVWLmspytDQ0YOX6NQi3h4vqpLmpgflqxXH9yNFs1Dc2YHhoCFwLpcXFOJZbIOt0w+mnywOae9PsxGRwk1AH03fgW9/4hnHVtqssh/zUJ28xPv3Zz1rWn2oV6zZsMB5//AlLtJiILzMz07KeFQ0NDZJo1V8j+nf85Cc/Mb7znW8ZpaWlxuz8vL9mBuHofGiysrKMzKwsv/3NmxzDCgbbzE5PG9lHj5rN/X4y0SVpUhXCYXJUq0IfnKeeesqqWu5X1lQZbR0tyjaEQ95YFdKTW1RgVS33G+rqLOfH7PjQH/+g9e9jgk9VId96urpUTYzMQ5nKBK2kNVfjS5Wdm2vkF6px+fs+/36OJnKEQ3lSlZqGOq1v2AHN2mhqaTBeeOElFRiD89Om4VvWoUPKMShvRzX0VJVWaRPb/vHxPynhcD0XFKjlrbyqwmjT+Gwd1czxyOSIFs5f//pXbXLVo0cPKf0mR8ZGjJqqUiXNTFaqo+dQVqYygW5XT49BfINZgqpj+/GPf4o//3mn5fHcv/7bh7Fx/Qb85jfvjEDIb5WOjT/xn3rqCeTlFeF73/u2hCU62V+pHJPHF2aEgZMd763sz7do/pLTGXa8lTicyNg8EiWuOuuvExnzrWpLOaDVKqNenOqFR9ITY2NIXAh9darjyxOLd4rMcn3ROOSdoHN/K+Y9qDq2m2++UWIn/vSnPwXN1M3Cjey3v/89Dr62B9dcvd28fcp/BmLurzvrbu/slKMjEmumkfnyl7+KzWdvxaOPPiIPNcac1BXdOTYFWLeZtberg54SB51vEvEYHFTrInRj8AGhsx6jvkNHsw4O5U6np+MYnCNVIa66h5pOF8EHDvFRFZ0ssS+tjVUlwhGxJIyTv7bBgEOemYYq/mDwnk7XR6s7+r2qSiBwdDzh+DpZ8l2nVvjoDEc4x93dalkKBE6/Zn2R7xxHVYgr+asquvVDOLp8eZ79QO3PWFFVpkJD1oVu/SgH8FMZ1Acbg6r+6J6f4u6778bm08/Ev334w/J3zjln4ctf/CK+cMcduOLKK/2gcereWnw8+8dRt0kMdHZjZGQMO3Y8hq997S6kp6+UB9plF1/sHbCzs0v82Lw3/Fzokm7m5ORoFcrdnX3azVWX7LJnYAB9moSLDK6sKtRT6Ryah0ZG0NenTnapw5U4MNCuqoyNjWBoQB3B/Onnn1YNIXU6AyHd/HGQ6jKPe4wKWHujOur+wawMHMnJUw2B6gq1gQM7U1+nKtzQ5mbUD+pOzUOYa+ell15SgcFQ94An4LeiVbNmjtmVwaFVhfRIYHFFo/171dm+J6am0KdJSks4OrnVyQqNiLivqEog+wHXmKrIi+GQ+gFKWvp61MmWm6rbVGAwOT2pNVJRDuCnMuh+bN/+5jfwnjM34cWXXkRjba0EHv3/2fsS+Lirav/TSTJZOs2+tWmahpB/CKWUlkKhQJECtfYB8hARsQKCT0RUniIiVsQNcHuKwhMERUQeKLIvpZTSvU3TNPueySSZJJNkkkyWyZ5M5vf/fM/kN52Zzu/eqU3SBOfyKZnf7y7n3HPPXX73bKtWr6aHH/4xffYzn/GDwtx9JTdjleNeZqyl3U89QZdeuoH++OxTfis4nRMkGwjZad9vwz4vnTTp8+bkH3UwJJcZf0rstWA2JjXyDsBINRDsdRLjT47wPiEO2kgBGGg7Q+VnRIyhiHa6cHkbTglTwkYwlOMVaFNHH3nc6bN2KXFOmNNJDp14Y9PWv/VoWzLOmBsOSX900tlDNBku/nqBgbbMMFpmoO0ymhbDQc91OrHFMkds8CCRv5+yKeavju872ZqD8mET8v7IpsekxEJ7Jgy0p1XGphIOKrow3FM/3aEJCIPB3Nxctci8+HsqviKhspufn08IG3HttdfygoaryH0H8qi93cIRijdu3OSSiWFyTwenzguqBoYklsxAJl5grc2PUtPS53nGS1oed+bkiAVA22kZwwA6P1twAkBlThaRHxFPEu2nnnqKELfKMyjfD77/A1q7Zg395Cc/OcnWTn9x4VWk00ljPq5tINP5/ne/x+rft27dyv4ccUrHaf0X//Nbev3Vf1L+of303nu76KeP/IpjtslOiqCC7IsNd/syeRLHupKQVAYHCioyfGVt4O5eJn+Byy1ZO7L8QOgWCE1gxoHgjqIkw0WWj7YnPeTSWrBk7SA+Hq67REnWBurKysjyA2kDMimz5LrSd36d0K8A+CQQXALpT0VNzQngfV/IXMUFMn9ENmwMz+mkSZ91xxcPfFzIZGiyeSylfQB8Arxkcwy0D4T+vn0UPU/rxlZWWUnf+fa36ZZbbqYLL7zQDRcOe+974EF65JGf0sHDh93v5/wPh4PGB4c1iY4Ahft27WIjYQhz//GPlzky9EM/fpi2bNrE9iNYFI1VtWx71tHmUhJRr5Mg28nPz6OjBw/T4OioNpzeXpZJaTEImMJoamTFAi0Gwb384SNHOKCnX7o7nTwRIPvSMnpG2+WVlWxbJYKDNjCp/JXBO7RfUnJMk+FRpqikhO/d/bUB/NGGCsdff1BvoL+fbbBE/amrr6fSykq/uKpwjh4+Qr12/wJytT/gaxGciqoKaX/27d6ruRgBDmgqggMny1AQMgsiIwPH7Tve08QVfe619RKcKYv6A77G4ikaHwQe1moDcBBkFPw0OuT/0hJt11VWi+k2Pk7794txxUaP/mjhivcllSUcOFirDPpRXFys3R+nkw+WBw8fEfL1saJSamnQjpQOOLv37nXNUz/XtMAP0diLjx4V9gcOA2R8AJpoyfMAZ9jWT0ePHdXsMzY+OGeHrFREN3d//ExU9NditQbkANxPdc1X02qg/ewzT5O1s4vee287G0+qUBctiqYrPnE57d9/iDqtFvrUp/5DzZrTf3/zxBO0PGMZf4HiWnXXzl1U31hPpBDFx8czo5sbm2jHhx/R2PgwrVl1Pk1MjlFLcyudccYZ1NvXR5WV1dTb30vDEwNUWVJDoaEOIiWUFuiI/0XC3154CA322dmg2WKxUEF+AdWZGyghNo7VdWEI2tdvo5CwRZSUGMee70vzi6i2qZ7OPCOLPSbU1dfSSN8IxabEciDC3R/tcRlkTuEKZYBmi8VtxNlls9LhA/lkaqij+PgEWqDTcX/sdjsHW0xMSDgBTn9/Py9EMLZMTk7mCNo7PvqQmhtMND7pJNQBnMbmZhobHqa0pUvJZrPRgbxDVN9gokWRURS1cCEVFOTTkH2EwhZGUZIPnOXLMviLo76+niDchlEqND5dtK+jMWUBJcXH82IHA9MBu52WL1/Oi/6+Qweood5EUVFRFL5wIZWWlJCts5N0ISGspn3k8EGqqK2h7k4bwcDZ1mWlqup6Ghrpp8VJKRQeEcFw2JB1im6mqlpqs1tpaHCEzpiKOL1v3wEyNdaTPkzP1+0lgNPRSfqIcDaGx2JQW1HNhtMwSrVY26mxpoH6B3opIcHVnx27djLdhsfG2Wi4sdFErY3NNDo+Runp6bzY7967i4yNDRSmhBL8b8KTT393D+lCXf05dqyUKioqyNLeShmgW0cH1VabaGx4gCNDg25s0NxoosmRcUpMTqKq2mqCEtHQ0ADDgSeMomNFVN9YRxnLlrM0K7/wMA32D5J+4UI2si0tKqWq6goyNTYxDXAzUFNXR7aePkpKTODx2bt7N9UbTdQz0EdLUhdTRXU1tbe10sSIg5YsXUImo4mKSouovraBMpYt5TEpLiimgcE+WhhtoIT4BKqsrKSSqjIy1TRQ1plnEOaCydRI/f09brrBK09NXQ3TPiYmhj2xtLRAQ3OIUlNTqdHUSCWlRVRrqqe0lFQWjxYdLaTh0SEKC4+g+Lg4qq2tZcP7+kYTz5+uXhvVl9eSrb+X+Q2L9J4D+3h8QkNC2TlDZWUZdbGShMsoGrjhUIrxSUlKxpJAhYXF1DfYQ5ERUaz1azQZqfBoIRmbXHBQx2xqJJsddEukBc4F7EQAtFf5GgeGjg4LDQ4O0+IlS8hqtVJe3iEXnIRENqAvLC4mu81O4ZHhLjiNJiotOEb9Q0OUmpLCdcymZhobH6KkpGTWjty9azePsS+cvj47G04j8n1B/mGqrjPyPMZX47HyEuqx9VJUeDjFxcczrnX1dTRgH2BaW5rNZKw30+joMK8HMATfsWMnO05Q1wP0p7XDQmNjE2zUXV5dSZWlJQwn+8wz+TBQX1dBDucCNmKftg1hOo3i7r//fmXLNQID7dtvVe64Y3YMtOsbGpTkxETFYIiY+helHDggNjr1pUVOtnagUQThe/XNN5WHHnpYEQVuhNEm8lubO5R77v4qBwO94847lP+68yvK3XfdoVRUVSlNzWJDZMBqlpQpKMhXZIadaANtaSWG09Sklc3vOzs7pYa5MjgjgyPKK6++KoTDdOvpEZaRwUFQVRlt1fERAXruuRdOCPTqW76hWUK37m55Gw0N8vGR8EF+caFSUV7li57XM4zFRQl80FQv7k9Hd7eC4JyiVF9XL8pmnn7nHXFQYvCbLKimbG4gkKWsTEdHmxTOCxKnAoCDQK+i1NHaofTZ5XwtaiOQwJwPHXMwAAAgAElEQVQffviBIhvnZslcBx8AX1GC0wFZf9ihg4bzCbTd3dcndQwhwsFf3rQqj7z11lvsOquqqopPg567L+7TzznnbLr7nm/Q9777Xc+sGfn9ve9/j8aHxykq2sDtxxoM9N/f/rZQK80XES0Dbaj9Dg6M0vlrV1BaeuBRC44WHaHn//QSOcbHKCJKR5u3XEtbNk+PXR9OmaxpOE+UUHCtGqqXqPj5Dsjpeob9mUwT9HTh5gt3SgYq0r70rXLanucTriDSPOID9WpwXvDBTDCgv93uX32HHX71+auVZcuWKr/85S+V999/n//9/ve/V7JzcpWcrBzpaf9fhe1ZDyfFazZfLTz9epbX+p2Tm6u85HFK6+7uUErLS5UGj1NzscSVEr4c8VWgpmG7XfF1R8QnK8GJBnU7JG540IbsVFpTVyd02QQ4OCGLUmtzszSMe0e3+JSHE2dZWZkIDPdX1h8ZTcCP6LMoob8YI1H64KOPRNmcV1Ml/koCDwAfUSqU8BLqllZViJpguspO6oHAKS4uFsIBzUYlX2yFZSXCNjC+ez4Su8PCl6Psi624tFQIB5kyXkJ/7H19wnZkbu0wxjI4zc0NSnf38fXAH0CZ6zXQQ8azgawHbRJXZSODdkV2E4H+dnaI14z8gnx/3XS/mxgeU4ol64G7cIA/plV5BKeDd956h3JyculHP/whfepTn+J/+EJbvmwJvfbWG1KPE9OxeT/1x6dIFxFJ7+7YwYLWU2lT1YqEcggCBJ57zrmUmX48vlBbR4ew+eHefi/ha+SiRZSdmeVFh3ZosUm+tOyDg0I4EJBrCYLVioM2O41JbIJkbQAPmSHrqN2/MoCKB06TMo0tGLvKcEEZYXI6WYFEVAbyAdwmiFJLi9jIG3W7JNGkWYnCjzKAJ1woU8hSX7tY4xF0lWlFtrWIDWaBg8w4fnR4gAZHxfZY3S1i416Mr6VdbHDeO9qrqYyh0sreKTbkRzm7hvKP2sZofz8NDg+rj37/ysYHtxA2CR/YegdoeFg8l+0Svsb8kfEsZNuy+eOQwIHd3rBNjCv4uq+vxy+91Jc97eL8MccY9Ug0edW2Av077aZC8Oi+c8cOsg30U0ujmcYdDsrMyOCFfDY+izGxX3/9n2SxdNDbb75NqdHx9MNf/pzu/q87pZuHL9FwUQZNRjBS2uLFvtn8nJElDpSYmL6YDBFRfuuqL7Myjm+U6jvfv4mJ8b6vvJ4R/FNG3yWZS2hhqPj6D/aHopSanEzqZq9VLl6CK+rpJBt5IAEMZbiCHoslAUBjY+NJrxMbLEfoxOOH/qSniAMlclBUSZ+zs7O1SOp+n54tvvoGXWWBYFecK4+JCC/+ohSfnEIxBvHykZkr6U8ocBWfrRfHLpYGNE3PEeOKfiTGigNmJiYtpiiDeJz1ksCqGOMkyeEF64heEgU9WTIH4QNycUqSaHh4rZOtBwjmK0oLwyMpNkW87sBOV7321Gor6yzx+ISEhZF+msUS0ypjw6bi6QMQ/v5eff11Dnh33fXXe+VpEWE63oPQ+MI6cvAwbXtoG0Hz6xe/eIy++93vnVTzp2KgfVKAgoWDFAhSIEiBIAWmjQLi41KAYKBKumbtWrriiivdNfbuPUzYGL7yla/Q7XfcQWeddRbt8Imq7S48zT9wUslIT6fPff5zlJeXR4je/dMf/0pqwOwPDdHXCT7D4ZNNlGDr02IWX7cgDpXIKBN2PkXHxP7/oFYLdWlRKi8p97oW9S2L/sjgwFkp+iRKaIOv3jQKDQ0MSAMLwmxABge0F8FBXmWlOHBqIP3ZvmMHAWdRkgWcBRzZFSFs1LRsFQEb/SkpKRbyCgJdmkziQKMyP52AI+Nr9EcWmBMxv0QJZgMH9+8XFWGzDhndZLji2q5I4j/TWFsrHR9PpxP+kB7o76USyRxEDDPEQhQl7o/gyw/9qSwT8zXakM0f8KzoawtwZL5wse5YreLrcfCBDA7amc4kvksIABIY/NP/+WkyGKLpzju/xDXgWeJrX72dHE4HvfrKK7Q4LY2+9rWv0Rdu+yLV19XP2pcbkEGYiV//+td08cUX8yRB4FMkDNpNN/0njQx5b13O0FDSORx8RdLS2EjGykr22J2SspjUiQo7I/xDEMQWs4n7g2sk0MLSYuG669ev54mCoIbwWaHT6/k6E8w0ODpOhohQWrNmLdvhNDUYaXx0nC68cC1Zu7qo0WjiNlauXMnXiwWFBcyk8N4Pt2SweYLdCXzKXbrhUl5g4MILcwH2ZfhqPnz4IMGHHq5X1qxZw3Cqaquof3iAzl+9mu/fa6trGQ7ahJ0eT4Z2C7v5cvXHBcfhGKcNGz7BX8FqJGJcd6WlpNDBg4fJSQ6OUgCaYIGoNhkJ8q+LLrqIZVyw5cOVE9rEdQ3scDBhMBaAfQTGpqPjXAaG/aABDHdxQEF59AdGuAhSiqvFzMws7g/ojUUYtMZ4YnKAJjm5OS445eXUYWpmf6WAw7QftHM7q1evZjmSOqFwvQNeObj/IPNHRmYGjzHyGxuNFKHX08aNGxkOaAA4mdlZFB8by/Z/WERgNwY4GAvIHTAnQHvcHqAOYFxwwQVe/UlKSaLsrGyuAy8cToeDNmzY4B5j0D4zM5v7jfHBZhAaGUXn5OQQ7OeGh4f56vGiCy9kg1xoJCNFx8azjeD+w0eIHAiEm8b0B27who9rNdRpbLFQS6ORaaI6VVDhgCfQH9AAtzEYc9QBDr79cS1e4244x0pK+KaE66xdS42Wdi84GNvS0nI2KEcwU/AGeMLabmU+wJgCTnV1JfPx+Recz/QrLi7k54SkBMYNY4p6kPZdtHYttcBWrNHMbWCMkQqKC6ir3UaL4mIYDmzqrF3H5w/sy8pqq2lRRBStBpxQPfcPY6zyQVGZyxA5OjaWvSj5zlOGU1hMPT02iomKcgV+NeNQa2Laoj/gg/q6amoKDWU+4LlQUMi4Yu5gnawqK+N1ZNzppEsvvJCNl8EX4IPVq89nzeeCggJ2pBwRGUVZ2Vm8LgFXzDHAAS9izNpa2ngeYByxHmD+qGsX+AB043l64YU8vp7rAcansKCQYOMH/6OZWZl0GLxETooxxNCKc1cwnWGrF9rYSFdcfjlHF9m9fz9FhIa64WB8ME/RHvgLMOFSELgAV+SZzWbmY/DadKVT3tieffaPZIjQ05FjRykjzSVnAMNW15rol798hD7z2c8yru+9/z6dsXwZvfT8C3TPt+6dLvwDamft2rVkMETwxFArROpD6Ybrb6PxURi8usiARQW/8ZecEQTr/dj4eNLrXTIYTD4kLFBI0XExFNOd4H6GgagB5gVTMnWUi4428MIaNVUHMjkdq7q72gBzGwxxlJSUwG1ioYxakctuq7BQImFhxwKOskipqUsI9+Oh8CYMn4p6PcXELCI49AUDQe1/5cpVfLAAUyKhLkKEwGcnwllERcVRzoocxhWMjwRjaQicPeHERh+XuRmi9OwDVE+hhN9QeMEmApgqTfQR0RS3KIbhoE3Eh8tekUs6clJ0lIFwnw7ZWBT329Wf3OxsGoeLICe06kMp2mCg6OhovnfHMxL3x+Fw4wYcgbd69Y3fWTk5DMcQZeA+psTE0GBCFMNDG4g+gYRFA7RFG/jnif+KlSuYbqpcFBtEVISBNzDURT3AgaQyIiqK4WBDhJdzlW7q4sHAiAhjHxsfSxH6CIaF9779QT8wPmp/eIwN0V64Ac7w8CjFRblkQZCD4QtPlVfGGqIpLm4R6Rw6XlwYTk62l7wF7cfEGNjwGvmpifEUa1jFJ2qV1igDBQe1P0uXLGGfp6rjarzHGBqiEBHdNT65OTlecFLi4qg1JsYFR6fzgqPSBXOjt981BoxLajLDUU/34KkoQzTTD79Be9DNM7n64+I3uIiCzCciKoIXYzVsS6whlhxxx3lnyZJUio4/Pn9g0B9jiGa+w6YGOOgPjrzRU7ROioljnk2Ii2PwPE/BKw4Hl5+YmGCaOMedbrqlJidSbLTB/bUCPgBu0YZYni/AD/wGfozS63neLkqIo5iFMbQ4JYHXAIYD2k7xHuAkxSex7oIqE8SGgI8Iz3UH8ys+KZrhqOsB2lDHC/MFcFISXOsOxlTlfXUu4/Aw7hx3rWlElJub44I7tZYBPtYHLj8lP169YoUXH2B88A+8i5Q8xUvqGAMu5jscQ0xrClB7UrPY1Vs2KTfccINX/mOPPQZDfKXURw133bp1yu2nIYI21Guzs3OkasNenVAUJTcnW3neQ93fNx8GwIggK0pQJ5ep7zY01Qsj2UJNXAanob5BkRnENgVgACxTFUc047ZOsTo/2hCptiOytSxCc1tbm9T0QApHUaQ04fGRmDgc2ndAGR6TGCNLTAbQH0+zD388gzGW0Q0RpUWJI043tYqKKBUlYpOBkbExpa5GbCYBHpD1p6ZCDKe7p1MpKhBHnA6UbqIOD9rHlLo68TyFYbWsPwckEcFZDb9JbDrS2tSqoN+iVCPBFeYy9fViOKXFxVKzHMyf0UltE5TR4WFpG6zuL5k/Mr4OxOBcRC9/eaesPLL+0otoVc5KeurPz7o33Es3bCCjsZaaGpr4NKNm4GpqxYoV9Oc//1l9Ne1/jx0roqbmJrr+uuv4dIKTwaO//CVdtHYNbdq0+aTgnXvuuXTfAw/QbV/4wknVCxYOUiBIgSAFghQ4fRQ4ZeWRlJQ0qvQISghB76EDB2jzps1emxrkblBu0FKbny4S7NrxLn3h85+jc889h374wx/Qd7/3Pdp01VUnvakBH5gqiJXjySuKgb8+lJSVSZVWjhw5KlQIQLu4ixYlyKlUeZFWOaET16lKMoEz7shluMiUZSAPkznDBgzI60RJhgeu6Y4WF4qaYHkExkiU/vp/8kCjR4+IFSWgMAAnxaIkU05AXYSAEiX4UgQviBLMcWRp7969wiKVJZVSW6rdu3cL2wAvvfyPfwjLYGwg3xMlGU1QVzY3AEem1AG/m6KEtQ8+JUUJdIPsUJTMZrFyFuhRXS2GA/m/rM+BzFPZ3OB5ahQrK72zY7uou+wXNZAxFDbik+m6IPd5eTKPm6+6ir797W/Tu+++S9dccw396hePcfUv3nabuxl8NX31q19l+c0NN97kfj8TP773gx/Sf37u89Tb208pSQksxFTvlU8WHjY18VIkD++BAIbS5HSwgoloMNQ7aa22WC6olTn1fnJSHmhUBgcaKrIyDom9FkSDsujLQFkWVkPSXabpgpEJSTH5+DgcEkNwPgSJwaAvovHl/kK2e4oJfOCU0H88AJ6U0X4ibELKBzgYihL4aFxiJIyApiKNYW5fEsIFZcYmxHwQFiLnN6fkYAI4ExMLRF2mCXKyspWoEIL5ytLIkLhMIOuBzCkExic8TBxoVLYWoB9hYtLThHPCpdcg6/RJ5MvmmrSpm2+9lf7v5b9xME0IAqF8cN1119EnNmzgun959s/01F/+TAV5efStb91L5513rrTNUy2QE4ChayAwsKnJvthgsCxKhqQ4t2KFVrmYpATpogfailJKSorUyDEuLsYtPNZqSwYHmn6yiMbRUCwRJB3pKE1iYAqBtOxAIsMVQvNEiYE2BOBOyeklK0NsFI2uJiUdV7Lx13VPAbu/fLyLj0/UynK/T5HAiQddpxSG3JV8fmRkpPq8OfERikSilBCdwJqiojLSuWEwUNaUQo9WO1EJcRSqFy9TSUli42u0rSp9aMExGGKk8zQ5WUw3aM7GxYnnaUJCLOlDJQ4BJIbimBdJKTFaXeH3CQnHldq0CqpKIlr5UKIJxChdq776PjlNzNdQolG11dU6p/r3lGVsQADXjL974gmqrqykVatW0Te/+U33ovSVr95J+z/cSzfe9kX60fd/4H5/qojPRn0tJ8izAftkYXAgzJDjWk8nW382y+OUh3+yiTWbOIlgjQ6MUmik3LOLqI3ZylNP0LJDwWzhI4Iz3/gAV+iqBrGoX3Mhb3RknELDXFrScwGf2cbhlGVsQBg7O/xB/vWvf+VrSc9J9bvfPkmFZbX0sx/+aF5taujXYABXKUePFQnHDPfp7RaLsIzMsJoNcyWGn8dKiziQqAgQ7tzVhc9fOcCBfZIoQQYnkxGgDREcHITeeOstERiWfQUCBzhrJcjYYLAsSoH052+vv0wjQyOiZqiyQgLH0kJWq1hWBLqJ+oM8mdykqKSIqssqhLjKZHCgm0y2ArrJZF+whxMl2DPJ5FaWdouUbkVl4jmo2jiKcIF3Ill/3nz7bVETLHOsrRTLhWFDKDM4h42ZKKE/kE+K0t4De6VlZHMdcGQyd8jYZP05dqxEKFZAfZnTAFFf/eVNa6BRfwDwmSnzjeav3lx499QTT3DQvRUwYI6Opl07dhEiLoeEOCkuLoEj3dq62mlyTKHk1GRmpILCQmqoNVJW9pk8URCMsKW1na8ocI13+Mhhqq2opY6eTkpPW8oBD5sazdTW2U6LU1LZIPPY4aNU11BPCfHxfGjYuWsn2SxtpJCOkpKTqNZopJKCYi5zZlaWyxC8opiG+oYoLiGebat2IfCjyUQhOh3bkcAjgqmykjptvbR0yWKydnYSApg2NZoIgWARJBCRbrssnaToFLY78Qcnv6CArK0dFJcURwsjImnHhx9yf52hCyghLp5KS4uoobaJmttbaXl6Otl6eujQvgMcKDEmOppCQkIoPy+PbLZ+0keEUnJSsqs/xYXUUNdIy5Yv40CJoCNwjIuNpYULF/ICCLoiyCbsYrDAV9XUUHtHB4EGWJT2HTjAuEQZFjIN9h86xFGaJ8bHCVe1MCLGRtfdZaWlS9N5g4ZCDYI5wl5xYVSUG47aHxhBd7d3UF9PL48pJvueffs4qGZYuJ4iwsPZdZu5rZmUMSfzwZGDR6iipoo6rVaW8WJxKC0ppraONq/+gPYjU4FGK4tKqdpYTbb+PsrMWM6LJOA0m00w7+cvhf2795PF2krjYxMc6BG4w9ay1WKh5RkZZDKbqbHGSO29PZS+OJUipgKNNhmNLGOCLRHqNNYaydZjo4zly920r6s30ZmZmRzIctcHH1FPp5WcC1wODjCmJWXl1Gw2sy0g+gMje/BBTFwMj8+uvXupob6O+vr6+VoJmxoiOPf2dNOyZRlecIArbO/2fbSXBsdGKSwE/JbCfakoL6WmpuNwivKPka23naKjXXyABbC6tpbCI/QUEx3DTgVaTa3U3dtJS5aksbFvYX4hz1MEk8UB68CBfWRt7aSQqDDm0craaio7Vsplzjwzi/mgrKiMWtotPD5Op5PHGP1FAr8dOXKYum19NDjQR8uWplNLayvl5eczvyWnp5DiUBhOS7eV9LoQDjiLgKYlJUXEtM3K4k2irLCYOnq6KDk+gWjBAsI8bTI20oQyyWvN0WOF1FRXT132Xg6Uqs5T8H5iahJNjE/QoQOHqLWzncJUOFgPigtpaGiY+dxssVBtVRUHL05OTqKw0FDa+eFHHOxXXQ/Aow1NZrLarMxvOETmFeRTY20DLYJNrNPJgVQb65uJ9AsoKSGR9u7dTTV1RhoZdsHB+lBTXUkWcxstXr6YwkPDef6AryemAg8zv9XVEJynw74TnoCKSkp5bcK8xcZYXl7KuOdM2etNy9rvzwYg+M5FgczsbOX551/QJEcg9liw85CFsigpEIf3GBkZUQokIU3y8vKUfYfEgVSLS8uEdlKAU1hcoNlfZCBooKw/+YUFwvA4CDT60kvadGU49fVKc5s4aGNBQaEQDmzCyirE4VcC6c/Tzzyt9A3ahXSRjQ/gyEICwbYPPKWVBsdGlGJJKJj8ggKlrKxQqwl+/9G+PcJ88AHGUJQQpLKzW2yPlbdPzI9NzQ3Ka6+9JgLDYVNkdqB5BWJc7YN2pVASOqW8slIYMBhIPv/8c0JcYQcnC8dUWVejdEj4ulDSH4STkcF5/733pLavCF80OqHNb319I0pdXaWwzzU1dUqHJPwN+FpkL4d58cEHHwjhnGzmtMjYpmWHnYONzCcZW3+/jV0NwdOHVhpzOihcoljAGmgirTpobInytYB7vMcpGtcPUoGxDJYs3wPmqfy0WNopJSXp1K7SpwtXSTv9vf3sWmk+yIJwJQ2PLUI+kPSXxzWQMqfCAFN18SWkeleahuY0m4AuqVhdRrOqOwM3GBAJzQc+cCM9jT+mRcY2jfjMqaYC0YqsNorv1OEfDtdXosTxvjA5BUl2j223D0vtpLrb24WyL4Dv7e8XYEEc306Gi0xWAbdAIlkS42GzSWPpyXDFBorrMFECrhgjUbJY26WbmtkstjMcGBqS0l4mNwGOuG4UpZ6+Ht4sRGWMRpc/SVEZXDOJEmiGjUmUZG1Ag1rGSxarVQoHcitZko5xAPN0XBITEfM8EDj9/eL1YEhit9c/NMT+a0V9Bm2lc0wCB+NrtYrnBsZPNoZVNWKZLxTf4HNyOlNwYxNQMxA7NsgrRKmn3Up2uzhYn7nFSjLbr0GJLzXIPWTBIa3t3dLFFSdoUQIMTBpRkvUXG45MKN1nt0v7I8MVOHZLFHcGB+3U1yP2Tl5dWSzqLue1W8QLANNMcngJZGNrl2xsMLqV0dZoapL2R9YGFjOZLWKLh+MGfwDBS+Wlpf6y3O8AR8ZvlkbxZo/G+qziYJfgARkc2fggAK9skQceg4NiXHokcxD2dN3t4ggBgawHsjUF87S9XRzEFXNQNg+basWBbR2Kg1okRuluhgjwR3BjExAqkC822bXcWKj85k5PTgqVLHoy2zFBN9xZTpIbaLsLa/0I1Uk3R51O/PWp1bTXewk9vMpqPIjNg12V4DiaJsT4Osbl0ySQ8ZFFL4fxriw5phxfa5WTHZBQD06SZUlm4AvDaYdOTGGnxP4MOEhMCAkODjy1rP3h7ZAE7kSdyXB/NT3eTYR4PPj/iYjSp5omdJPkdIrpL+svcJggMb6yAK5oYzwAfgtxBrJmiPnWGSbOxw3OdKegjE1AUcSTe3DbNqGvSHzuC+2xsADA68SUF3R/4HAyEuWjjqwM8pFE7cjaYDjAVSBDmzY4kj7PGhxsoLLx4WgMYqPzUdjlCcZYKrucircm5CWUGR8XGkaPjYxwBAURH0h5Fvwm6TPzEvhExCsBtIF2RH2eNT4AP8r6A9uwSG0+cHuXEdFkuubpNMyfQHhSJpcPZHwC4jdJf3hxO4n/iY8OJ9HQx7GoNgsf761oUnIpndxIUrQIqZBkZaCyLrvfl7UBWKJNjfMRFke0gEs2V7SBu3s1bpjaP9+/gHGqcFR8fdv2fEZ/ZXCKKioIG4YoCTc1VBQsdmq7Ul5CqBy9mCs7urul9liBwEEoJFFimkn6JGsDMinE4hKlWeMD8LSkP2XVYlmRbGNEP2erP1Cjl8m6Zf0FvjJls0D6I+M3bI4yea2IR/zlBTc2f1SZegcD7VH7oCbRcZ++Y8dOTeUQDBiMLfFPPdn4gsPkhgNQ0d08bEx27dqtiQfaNppMZG400dCQ/+shwIENkBYctIE8OOJFWX8JZRA4EP9E/UEbIji4k4c9mRYcMDmcuGLzE8HZtWuHprE46iHCMwIfasGB0Bp9gTGyCE55cSn19GjIRZxOXkBgj6QFB/0BHMhoRHB2vLtD0xEv6kGOhzHUhDM0xIE7IYgXwXn73beEix6cAQfSHyhtiOC8u327Jq7gL6vVwnNjZGjIH7sRvGcEQjfwm9YiDvwsLS3cH63Fc8Qxwo6jZeMDm0HQ3t8MAxzItWBrqAlnZISOHZHzNZxHi+YPw9kvhgPFHZQTjY8MDugGY36t8eF5evSodJ5u375dc3zQNpw+79mzxy8P/KsvT1Wr9F+FOy/q4cwKo00IWeFdRfXGAENXRCkwmRppYKiXjYChVosvpi5rNzlpgtact4YnQXNrK5/SoNKMepg8QyMj/O6cs8+mpqZWsvfZ2FARqvoY6EYTIgCHUFbWclbXRZ3+ARu1tXVQVlYmWS1Wau9rJ+cI0Zq15xG0rIb77HwAGx7upfDwOKqoraCQMaL4xSmMa0dbG/XYe8hU64r4jQlqNrcyrojgjP4ZjdUEAXhnRyfD9defjo4ONq5FfRiullSWeMFpbW1lbSwYUCN/aGiEGhubGE5mRiYHHm00NZKTxqm7o5vhoD+WLgsHZAVNIMTv6eimHr2OaQa6VZaUEGRUiGQO2nd0d9DwoINgBAvaAh+TyQPOokVUXllLg/ZeamtrIxh/1tZW0cjIJEUujCD4E+1FXkcHRehDaSQjg3ErKSmnMJqk2BQX3Vqb2ygmJopqjSaOcIzJXFtbz2WS09K4j8ZaIw3aB6mjs4P7YzIZaWDo+BhDUxF0g7IEAmGCLsfKSijcQRSdlEAZ6ek8tgNjQ2QyN1JSSgovjoADXkpPS6e4hASOqm0b7KE2cxvlnJNDRmMjjQ/1k6LXE+jW3ddH9m4764q7x6eknNtISkhiA1lsRs6RcQ4EvP6itaz1BgUBlWexEFbW1tKwrY86O118AI3P3ilNvvPOPZfHB31BlHAEicT4wNv82ARx/+H/saGhgRzjoJWRzltzHtnau9w8e+555zD/tzZ1UFhYOJnbWums7ByOft3V3sW8f955K8nWY+XxierrcdOtrLqS4Ng6NT3NPZ/6wcuNjQzbZrW5eQljvGDBAj70jdrt1NnZQRkZmYSI2V1dPe4+D9rAb53cLw6gajBQdW018yN4TZ238E0Kvr5w7VrW2LVYOriN3JxcCgsJoWqjiRzDvdTc1kk5WRkn0BYHOuAQOhzBPIs1o6SqgvlAnadNTU3U39/PUc7BJ8zXLWbSjRNl52TxjQq8pKjKVTB6huZiu7XLTXvAGR8foe6OThrIdLkB810PsKbYent53UH/cDBQNYgxfqHhOsZhsM9ObSlJlLUwk73rOJURijLEsY9P8EAn80EfpWdm0qLQ0BPWA3w54lobc2LtWleU915bn5v23T09ZG4xMz9M66Zwsmiewd0AACAASURBVIZv/07lc7Kzleeef16zy4EEAA0kkGVTnThoIIx2ZQFA8/Lzlbw8sUEsjISFgSwnJpSaOkmAyQACgCLYpQjOoN2u/P2VVzXpigwEmOzulgQ0rakRwkEg2Kb6JiEcHh+JgelzLzyv2PvEBtoNDeIAoIAjC2RZUXPqgUYLCwuUYp8Av74EqKgo833l9QxDcBm/wWi6u6/Pq57vQ4Uk0CgM/d946y3fal7PgdBNhiscAlTVy/laNj4viIIOK4oyPDioNDWL+a25rVXKB7L+IDAn5rIovf/BB9IxZDiTk5rNwFC/qVnsJKGtVd4fDjQqgGPv65M6HtBEUiMjqDwiOCZAeeThbdvo88FAowIqBbOCFAhSIEiBU6QAlLgkMs6TgRCUsQmohatImTqyzJEo+8uTGELiOk2WZA6BTUajprxJbdvYaOJrAfXZ31+tu321LPCQlZHl4zqvqlbsNBhtyPosg4MrEPRZlNBGi8TWbf9hcRBRtI+rSlHCVY+WvEOtJ+MllJM5dcZVGa56RamoROzoOhA44Gst2YsKGzIpUcL4HpHQFnBwHSdKMpqgrsUsdkTOcCTOCSpKSkRoeF3naRUMZD2Q8TXogXZECVeApzp/WP4lgQMYMjhFJcdEqLJoplpiDyxswE9mcGPzQxT1VSB2bGAgUbJ32QLyAAC1WlGyDw+Lssna1SU1lOy32YVtIFNmpIr7e/wTJZnHAyzwMgNT4CGDI8MVONq6bCJUaXh4lPqsYgNtyB5lqatLbDDLNJHY5kHYL0uyRQ/57RJvEZ2dcjiyiBTYqMclgTe7JEbEGF+Z1xDMH9mBwCYxjgdNbcNinkV/BiVzzNgqMTQeH2eZrmgMB212Gh4Wz0PIuUUJ9ABdRAmbjWz+yOepSzFKBAdzUDYPO1vERt4hCxYQIj1MZwpubBJqyr7YWO1Z0MZkqE4aMdfpcErVamVRdXUSFXwXipPC8BGCbnhlyUwCxOaYXk3N6AOUTRAZWZh0DtLpxFGCQzFLJJuSLoCo1NNy1SIhrizyNdMiAINzIc2mMnUyv6MBrC6yTQvzxyE59I2KLRMY20AMjWV8rZuQm2hPSOyZEXlcZqAti4CODskMzgNbD8SjDJYPF08NbkA2ho4QMdMGDbTF4zDtufPJCfK0dz7Y4HEKTPP9//GGg7+CFAhSYCYoEMCZaibAzo82ZV9rOKlYWsSf0LjiGJDc3cPJrigBjuxqCOq7MlkD2hBdeHJ/rOL+2Hq72LxAhC/UqUWnOMjYZIEFbTYr2SSyFcjGRHCQB5ssUeLxkcDZuXs3jQ5pBzRF+zI5Q1dvL41I4MDP46n2B/ZLsus9wBEl4CDjN9gIYhxFSXa1imtTxMgTJYyPEI7TSS2Sq0hXf8RzrMvWJYZDRLD7EiXgKeUDm41gniBKMrrB/rJdwtew/5O1I8uHfR/GWZQwhjJZK9ZIEV+DbjKRjggHf3kzHmjUH9D58u43v/sd5WZn0znnnEUREVGE6MTWjm6aVJwUvWgRQWGjuKaSYg2L2IYEAt2mxmZq67DQ4tTFPOClVVXU1dlJsI9BMM+Kqiqytliod7iXEuOTmPkqKipJcTgoJjaWbDYbGU211NbeTrGLoilMrydE2K6ur6e4RYtoocHA9nJmo4laujpoSUoqC9eheNBvt1NKcjIH8ywpK6H2VitR2AJatNDAE668ooKVR5ISEqi3r49tdVDGsGgh12k0GqmsrIZiE2PJEBFJlo4OajA1UVtrOy1e4oJTVlxJtm4rRScksAupotJiau9oJ6dCTBNMbATnRKBC2OHAJgc2QSgTFWmg0NAQtnGCLQ6CfyKIKOzl6k1Gpm1iYgLXqSqpIvtgD0UvimG6+dIecCrRH4eD7YwgUK+urWS6RYRHcKBRY2MjGetqKDI8ggPFqrS3jw5xwEnUAW1hYwZbHgTFBRxPulktFiopL6dQfRilTtmXlVeWM64hITrGDd4zoCixyGBgPqiqMVJLq5ns/b2UmOiyEaosLyc4t42PdwWCZTgd7eSYcFJMTDSPT2FZCekohEADTHbAAS6hYSEMp8ZYS5VV1W442MRaW9qou8dGyUlJrNTTYDLR8EA/JSWnuPsDnh2bGKfYmBjmt8KSAgrRI+hmwgm8BHrCjq2mttYdFBUbZZO5kXo6ejiQKjab8poq6um2UXS0K0gtbDy7LO007BijuJhYXqiKS0spXK9nPvAdYwQaBe1hY4i5AZsuwIFD4/aeDkpNTmU7qxqMj81KibHxPBdUOLqIMFoYGUUtzc1UXVlBupAQbgMLfgOiOlvaKTYlkWjSSRVVFRzoVA1ai3naYmp0zx/YgZYUFFKfvZ/7A971pD14FJsA8AWecTEx1NXdTbXGWuYDjB/s5ZDf3NxKixYZXHxtsVB9Qz31dFgpOTWVlUuqy6rI3t9FcfGJBH+cZaWVZO3toMlJhecPDh3VNTUEN47RMdHU39tL1XU1LjiLDBwItrKqklrNLWRQ4bS3E9aDUccYxcbEMpyKigqW7ScnJzNuWA881y70B4pGkJOqdmw8T6fWA9CgydhExvoGXh9AA9C+rd1C40PjFBsfy/yGNnp6e7352mPdAZzC8hKKDA2juPh4VnppaDQxLqmpKdwGlOeMDQ2UO42BRoMG2oJdFlf34ZGRRKERXCozPYPGnU6Kjori5whDBIWNE+n1rvzk+HhXniqP0ekoSq/nxVeVxcEYd3h0lELJJRiA0SdqG2JjuU08Z6S54ISFuzy34p0erp+m3BzFR0fzb/0UHLSNO3Wdhx+6zLR0+O9xGz7CrQ3KoS3IYfCM/sB5L4yzkfTAJSKU8B/kQfGxsaQP1VHolCwF9SOi9NxOBFRzdTpKS0tn3FS3OepfwEHCQgA43L7ehQ/ageAaf5EAh+nkdPnM1On1pAcc3UJ3mRNoHxHBdI2IctEefWC6we1UhOtdlN7V54ip8VqclMaOez1FMsBBxQO4MN10Oncb+qgoGh11UJTeRSNsfkw3p4NpibqAp5/6izbSFyeTYzyW6Y9ntYxKZxXOuE5H0VO4chtO0NdFExUOaBwKuul0HOEbLrXU/i1JTvY6CRuionhsPeUrKq44mCFFRUSQTgmhiIhofvbHS7FREdSlc40zCoGvUU5NjEOonsdWpR3ilOGGI2pqTJln6TgdUR9jzH45p9S6UXdsYsKrP6OxsTQ+xcegKXg+fOFCtyo45g/moGGqPxhblZ/RnspLKKOKdhZGLiS9By7oD+qp8wcOg/WGKHd/3LQHL6lzPSKC8WIa63Q89mnpGdwGyiOB1wcH+9xuzxgX1JsiHNMqVEfhkYv4DdaWzMx0pokbzhQ84IPyeA84kLGr64ELzqCbb0FbT/7D+EwqCumnnFCjHThHAF3da9cU36nzFDzF8xT8FhlKYRRGoeGhFBV9nA84Fh3yp8YPddC2Xq/jQxQ65Tt/UCaMdBQV5VoPgCvjMLV2IR/9Ce/snKLSNP3RsG8LvlYUJTcnW3lRYKANIsmiCNvtdgUGlaIkMwyFsbOsTH1Dg9IgMUKVtQE4fT09IlS5L+iTKPV0d4uyFRh+wqBclOyDg1K6wbBTZAiO9nskRsQYG0RYFqUDB/Ypo6c4hoAj4wMYI8OoXCshCrFsDJuaGpTWplatJvg9wxGUCAQO+iKjSWePOMI2+pIv4QMYPcvoJuO3QOYPeFrWnwP79gmopjAvysYn4PVAwAeB9Ke4uJidHIgQlvEB4Mjmel8g61t3t3CeAg4cMkxnChpoCw4IgXj3F1QPZgUpEKRAkAJBCkgogOtvXL3jy226UlB5REBJzysrrWIygTLkOjKB8tGiY1J1cplwVXUWq4Un3h+D82KJ7ZFMoAz/mGaz2BhZ1gZkW0ePHBGhyjINKMSIkgwOrjtlRs9oo7ZCbCD/j3/+Q4QG5x07dlRYBkJ2md2QjJcA4MgRsbIFlDHgaFeUAoFz8OBBURMsK8Y4ihKce4sSxvftt98WFWE4kOmJ0kGJAgrqyngJ8xRjJEq7du0SZXN9tCNKgawHMr4GPWRwAlkPZHD6B/qptkxsw2lsNJJZEuh15y6x0g0iZxQUFIjIdtJ5wY1NQDLcjcs2N5kx5QLJRgLwvNnI3MmocjsNfLFoijSPUG2B4pDascnaGB8fpVGRaqUGfr6vByV0AU1kuMjycf8/MCRefBG3c2SBWLtvcFgcMRx9gxxOlICrKpvQKifb+AKBMzo+SuNOVarjH9L4sDjfBUesBeoYn2TlB/8QXG8do2I4oIls0+L5I+F9GRxgA8fjosS8JIEzLDGchvwQdBElwGFYgkKqjFFQRN5GAPNH1D7ydKSjEXhSFySYGGJNEKWRcckcDA+Trkui9v3lBbUi/VFl6t2T//u/tH7DBoJHc60UGhbGWl9a+UoYtLciWatNq4wuTO8SqC5YoFWEaMECt5KHv0J6nZ5i4mKEZcLC9KytBY00rYTNANqbWgmC4qiIKCEctC9qIyQkhIXO0NLTTAsWsIDeU+HCX1lRPsxCo/ThrEnqry7e6RboKCo8iumiVSYyPJI1x7Ty8T4kTEfRi44rWPiWhdGtPiyMIyP45qnPoD00SUUJmpgxArpBIzQmLo417LTaCQkLkcMJC2MtSs02QnS0MC6GQhdo81KYPkyIK/priI5mjU4tODx/oqLcygn+yoWEhgjhoE4IlG+ghKKRoL2pDw8X8q1+SsNTownWzIyIcM0xrTLAAwobovkRJpmDoDjqi/oTtgC0X0SRU8oo/vAJZJ6GhIUTFGa0UlgoUWSUQbgeLNRHssa3VhvOCQdNDI9RcmqKVpGTfh+UsQlIBgNtRNCeD06QYXMS5gxxa04KunX6s5xOGhgamtY79Zns1OjAKGuKYSGe60n9GpgvuAJfaMbNh4Sr1+mUA81kn4fGR9mb0Xzgg5mgg/ZxayagzbM2OdCo4IZpdHycio6J5RkwdJU52S2FU1rBNQiuqI6VlgqpV3qslI5AVidIsDkRXXchD0FRRQn38jIHrLjfB220EjY1BKEUpUCcuDKcUe1rECyalaWVIjAEuyGZDPRvr79MY0PiqyzYqYkS6CaT4RQXF0vHp6JSDAcBWssqxGMok0nhGhj8JEroj8x49+hRsdwRdEcQSlEKhG7gA1HChiSTtSJemGx8Xn/9dREYtifFHBOlQOCUlJQJ1wP0xyhxnH5g736pXJEDIIvmKWIc1orl6bUmE1klvlaxRqoHLn+0Ad0Dkfv6q6v1LngVqUUZInrqiSdo8eIUNhxcFB1Nu3ftJUtzEymTC9hA8WheHgd9VEKIr6owyFUlZWRsaaIzMpaz/CC/qIi6OjrYCBVXB4hI21BrJGtvN6UtXsITztRUTwO9fZQAI1urlQqOFpG5rYkSYuIoPCKC9h/cS10tnRSiD6GEhAQ2ZK0oLnXDAWMg0OJA/wjFxkRTaFgoHTx4mBqaTKSb1DGumHBQkrCPDdLipGSydnZSYXExNZsaKTo2ho04sRBh09ItWMD9gcGsL5zSwlLqsXVRfFwchUVE0N59e8jc1MJG63hXXVlJTWYz2brRv8Vk6+mh/LwC7g/sicLDwqjg2DEaGR3lqzm1PyWlxWRpMlPy0qVMAyxEMJyG8S7otnvvbmqsN7PBOQyA0R8EZbRarZSZmcm0zsvPY1zCw/V8dXXkyBFqt1nJ6Zjk/hw9fJiMZhN1d/fQksWLeSErLimhts5OgtE6rjUBx7M/wGNkcIhsvT0MB4vKobxDXEY10MbCWm9qYleQMHY9dqyI6mtqqd3WRkuXpLMiTGllJXW1t1O8Bxz0x6GMUUJ8Ivenpq6Ohux2Sl+2jBfJvPx8amo0E+DgOvtgQR5ZzV3kXODqD5SB6oxG6rRaKS0tjeG0tbTQ8PAIG8x69mdsbJiNxctLS8lcb6a+oT5KX5ruzUvpy9gAePehfRwwVyEn0w2GuTXVtdTaaqZlyzLIYmmnsrJS6rBa2f4SV1VQFAGuAwPDlJKSxJGvTcZGGh0boSVLlrjhNJqbKWlJCulDQik/P58N1ENCdczX8JxTU15JKLN8eQZ79SkrL+OApzBsR3+wKTebzBQWHsZfT6A9+HRo2E5pqUvI3NBMJVUl1NTQTDAAxoIKODhcRkVG8hVstbGWysvLeAwBBzxUWlhGXf02io+OYRocOpDHPBuywHXNCQWvicFRGh4bYZrAu05hcSG3kZAQT4qiUH5eHtME9mNxcfHkux7gkFtSXkXdXZ08PjDq3n9wvxe/wZAaRvZwoIAAusCtoLDABSculsYnJljRwtzeTpFTV6Pof1lpOY2NDFNiUhJZ263U3FxHw8NjbjiH9x/k9SKEFIqNjeMDeb3ZTH29/bRsGYKVdlHR0QJqtDRRzMIYWqAsoEPH8sjW0UnKAuLxUcd4aKifkpNT2Ai/rqaG2tvbOIgtvg59509JSSWZautpcGKUli5Zwt6ReIwtTbR82XJuAwbacKSMYMDTlqbTduDj1lZmdrbyvCC4IOx9ZHY4CKaIYHyiVFZSIspmu6/CwkJhmUOHDin7DokDjZaVlQntSWBfVlpcLISDAIcNkmCKwHVkbEyzHdjGvCigKyoCjsy2heGMjGjCmZicVCrK5P3BGInS0396RhpotKywQNSE0tzQoMjshvLyDigIKquVMD5lxRI+yM9XCiVl9h0S22MBTrGkDYxPN+zuBOlAnhhOc3OT8tprrwlacPGBjG6FBWLag99k8wdBN2Vwnn/uOSGufYN2paRAPJcBR8rXAfSnokocLPa9995TEOBTlEATzBGtBD6orKvRyub3CCrc0SYOCIy1SWSfCbp/uGePEM7JZgZlbIIjQiBOkOH1QKbtJisjyxeg6M7ClwQkQJECWxCExgmXeWR3tzizP2xdXfyFqgUFJ+25Ih/AlduimBghPrixFkngpmOMtWjl+V712xcpUJTga2+BAhG3h6txWRlPwP/Cb4wxXEbhpuKU0izgCvxwM4Iv8jmRJH2Gtilkl/jK1UySNjTreWZMRxtob7ramcItKGPzHCSf35ASydT9G03iO2hMBnWx8Wne/Shz1IuCMrVoO+IiCeRNaKPH2iW86w4EDhZ5GS6yfBhjimRwwAMbtUyGI4ODhVMmP4OfQIyRKLW1dAg3NdS1SmKpgQeAjyjJbK1QFzInUers7maflKIyjRInyKhrksBhvpao0MtsLzF+7RLaBwJHhiv6Ixtj5IPnREkW3wz1A4EDnhMlGV9j/nRJnBPDbZ8sTlqvxDk7w5GNT3+vdJ6aGsX2qJgXgfCkiGa+ecGNzZciPs/aKhCugrLFyGLpILu9x6dV70csADjRi1J3tzhYH2RssjLtlhYpHNnkbevulsKRTSgwMhxIixLw6JD4j5PhivYbTWJP9hibDkmEhsPlYiUIwDFL4MhogjZkvMRlTGK6wSEz/olSZZlYAQV1zdViOHBqPC45SMHRtSiBX0uLi0VFeGxktLNIopcDQKdF7IsQ/ZHBkY0PlK9aJJG6sR4MDorXgx67JBBpAHCgFCVbDwYlcDBPQRdR6unukcKprhTzEgy0ZYcgEQ7+8kS3J/7K/1u9w9ea7ItNdSKqRZiFC+EoVNsOBPUiohYJr7G4TIQYE0/Ht1q4hOkjpdemMtVrOLKVXb0GcoXokFxzoQ0ZLlI4Oh0tihOrksPJc1iM2JWPLMgrj0+Kto0U8qW4whH2lONorfHD+yi9tq0c15MckFAmOsnlcFsEJyJazLNQZpHxnD5CvrzIvmJDFkWyg18RrvpY8Rijbsgi8Rk+MtzbGbY/eCNj4i9uXN3GxIn5YGGknnQ68VxWHUn7wwHvnM5QikkQt6FV1/O96lTd853n7zBdGIEuogSn2rIxNBjE4xMSFhYQ74vw8M0Lyth8KeLxPJ98ReLaAF7GA1lAPbp4en46newbTigHOj2Y+YU61D9ACyWbn9+Kp+HlwMiIS9Yqkq2cBrz8gcRJHV425ottGK6T5wvPYj1AEsrY/A3Kx+Sd+BjzMenkTHUDJxXZ9QTLpCT34bhGFCXAkX2qQ7YikydBPiM6XQUCB/2RyREgdxTBGRkbo7qGBlGXuS8yWQNf4QrkVsBBJpOydcn7U15bLfexKbn+gzq1tD8mk1D2yP2RwOnr7ibZFa2MZwPhA/CAunhqDaQMzqjDQc3NzVrV+T1oJqIbvqFkcm7gaTaLZZOYOzJZOOLUiRLgyIK4Ao6oP2hfNtcBRzbXm1tbpVerDEfwhR8InID6I1kPIJtEDMfpTOLvzOmENMfawqC9+ebb5ISzMz8J1229vTY6sn8vIfaYPxkYFoBaYzWtyF3ppwXXK9hiId5TcmKyZhmjyUTZWVma+YADg8zcFSs0yyBIKGJQadmCoD+llbW0Ijdbs43xcSc1mk2Uk61dBvY74WGRlJgcr9lONXAV2KQAzrGiI7T+ovWabQAOTseIaaWVACcnK0t4JSajLeyE8KULOyl/CXTbsWsX1a5fT6EaHjKYttXVtELQZ/QHmpXRguvG4vJKWr1Se4zhk8/cYhHyCuRauCLMzHDFwPPXp8LCYlq37gLNwwcCYKKd7FPsD2z3zl+50u/cAV49PT18MFy3bp0/NPkd6LYwZiHFGkR8YKTc3BxNo2YoUlhazJSdrW0nhQPQorg4ihWMz+7du2jTVZs0+wMFLhz8MgS0hz0d7DJFfF1bXUs56I9GQn+woWRlZmqUIJZdJiYns32jViHYDa7IzdXK5riR6A9sJLWSxWymyJgYzf5gbuSXljIfaLUBuqHceeedp1XkpN//215F4pSwbt1aGhga5ejRoNzk5CQtUBRSFizgd1C2iI6GYWi4+51nOSwgcBQ6MTnBhPes61lObe9U3gE3JPhZ9NcO1OexIMUnuzZQrXL+6nq+U+UmvrRQy6BdrbxA+w88ETl56bJlaJZToHV9y6GyCJ/p6E9nRxvLAKIM0Zr0V/nAFz8VNxkeqCcrw2PqcBKF6rjP6LsvvIH+Xj6pp6SkEyw7VPiePIh6GAPPd77l8Iwk4iNZGzI4yG9thiF1qiugr5+xBF0djnEhrjI4Kt0mFygoKuyTLx1QHu/QBgzsMUaxU4cgX9rIxs9zjAOhnRYunu1olRkdHiS73U4iPggEB1kZlTYqnXz5Uc0XtYO6w4N2eu2tt+gTl27A46mnkzV8+3cqvzI3V2igPZdocd999yk33XTTXEJJExcYqBKR0tkhNuzUbGCWM85ftVp57rkXZhnqvwbu+RdeUFavXPmvVZ7lWjDMBR/IDJZnGS1NcLfccoty7733aubPpYyXXnxRycnNnUsoaeICQ/AlS5YpH7z/tmaZk80IytgEZ4NA7NgE1Wc1C9eV8y5JNCPnSn8cOiKHQ9sn5VzBE3g4xh0EfOdTmje8K5BHzUV66+eB0+7jdHOQk8KOP57ir3k2BU6xtydZHQq1Mju2k2wyWNyDAvNlQdM5He5rQg/05+RPnBVCxSaRcxLv+YDUfDswBBLXba7Q3TnNh4bgxiYY2fn0xSboxpzNmhemCZBHUag0qOZcITLivs3Db/e5Qj4hHvPpwDDfNmFRjEjhoGhk/ttoRUIL8u2336Tu7j66/obr2fO8Bk3cr4NfbG5SzMiP+fLFxp2fJ9emwPXfZlLPCFcKGsWhYZ5c+c+nTRgUD36xCfhOKwv2NFdfeSUdystnGcSVV19J2999V6u4+33wi81Nihn5MV++2Ljz03xVMiMERaNOZ/CLbYaIi01tPvEsrtDnRZqEv+3pvTz82B/uwIxf/+9vsgfx3z/+OI/zsuVL6bOf/SxV1dVRRnq65tgHv9g0STMtGfPl9DufLvewPMybST1fDgtT3I5NbWye4IyryNA5EslDuliEBL/YpDTyLbBr507auX0Hbd16iztrw8ZPsDLAs3/8o/ud3x+hoVI/dX7rnYaXCG44n06TING8wVcXwUb2p2FYTxok9Eam+fB70jgEWgHywHmVnE5aJPHZOlf6E6ULnT+Kb5MTFBYmCK/zLxD1Y2+g/ZWvfJWeffaPbBCMiLRqOuv/ncWG1SIP5DDihq+1+bAAQ4aIL6D54ncPboXi4uLU4ZjTf8EH4IH54HfPMTZCQ6MLKCZG7Hh2rhB8XvHB0BCTbZEo1t0cISxiL44Pjcyb9QCOBSIXLpq2tXbe3Fr8q/zS0FRP8EDtu4jC3cyhQwdczng1HMbOl00CtJkPi67nGPqOh2feXPs9n/ggNDySYsLnGgW18ZlXfDAPNjSV0ggoHC4IOqyWmyt/F8VM7yF3nt0FnOQwOJ3U020nQ1QiTfr0VK93vZA5jD1JiMHiQQoEKRCkQJACp5kCPsv9acZmBsBHROmIdKMU4mO0Ojzs8iQhi/k1AygFmwxSIEiBIAWCFJhBCny8NzadjtLSMqnP3nfCFxvCbiQnp55wRTmDtA42HaRAkAJBCgQpMAsU+HhvbER01Sc20Pi4g2orKtzkhMC6p7uTrrlui/td8EeQAkEKBCkQpMDHgwIf+43tlq1bKTV1Cb3+6pvuESuvrKZRxzj91513ud/Nlx8IzlhSVEJ33XM3/fznj/pFG9qRv/3db2nNOefRmjXn0d/+72+aMaT8NjBNL8vKyujaaz9N0EZds3YtPfvssyd4bgCuO3fsoA0bLqVzzz2Hvv2d70gDWE4Tel7NIN7eP/7xMuMJfD/zmf8kc8uJwSmhffqTR39G5523gi668CJ6/e3XNOOAeQGYwQfgeeYZZ9LOXbu8oIC2b7/xBse9O/ecc+gnP/kJDQ2dHqPdgaEhOuecsyklIZ35ISUpiV577Z9e+JaUlNF/XHstnX3W2fTFL36e2q1Wr/zZfsCtzs9+8jO67c4v0aM/+5lXgFCbrZe+/vWv01ln/j/aeNVGOnL06Gyjx4b4n7z6P9z0BN+q9F2//iIvfA4ePkyf+tQmpu3XvnYXdUmCH3tVnqYH8OMTT/yOLrpoA+Ox8RMbeO77HIeKQwAAIABJREFUNo9Yc1/60m1c5tprt1BlZbVvEfnzyYYDmI/l33zndSU2Pl4pLCxUGhoalAsuOF95+KGHlImJiXnXnYL8QuUXjz2m6PWhyrfuv/8E/NGnO778ZeXKzVcrPT09CkKD5ObmKL/+xa9PKDuTL0Dn1CWpHErnK1/5CtMfIUoeeOBBL7Cvvf6qkpy6RKmoqFKGh4eVL3/5K8rVmzbN+ti88MILygMPPKDs+egj5fHHf69ERUQoF6xa5YUraHvD9dcrN95wk2K325WG5mYlM3WZ8vwLL3mVm80H0OyqjZdz+Jd33nvPC/TTv39SycxaptQ3NTBtb7jhBmXr1q2zTlsg9cgjjyhq2BeEfvnGN+5jGqoI5+XnK8mpycr777/Pr37xq8eUFStymYfVMrP59+9/f0lZuXKl8sorr5wA1j5oVy5YvVq5//77mJb5wD0xUdmzZ88JZWfyBcONj1e+9o1vcDide++7l//mrMhVHn74YTfojz78kPE7cOiQMjo5oTxw/wPKunXnKxOjs7v+PbjtIeWKyy9X2tqaGbeCgkKe+++9844bV4QwysrKUn7z+P8owO69995jvqgoq3CXCeQHBVLo41DmwL59yi1bb1G23nSz8sqbrzPR5mu/sGElxsYq9z9w3wld2LdvH296H370kTvv6Wf+wAs1NpvZSvff+y3loz2H3OBaW1uV7OzlSnx8rNLdbef3nT09SnJysrLtweMbNHDEpvL8c8+56870D2xYL7z0dy8wd91z9wmxwv7+yitM26qqKnfZXz/+G8VgMCidnacnttzjjz+u3LT1ZtfG9tabbrzaOtqU6Oh45aEf/9j9Lj8/j8t58oY7cwZ/dHZ3K5s2Xcmbqz8woP/Gyy5TtmzZ4s6emJxUkpNTlXvuPpHH3YVm6MffX3pJiY2OVbAR+EvbHnqIxxyHGzVtvXWrsmrVqlk9NDz+q8eV1rY2FQX+i4NOVtYypbCwwPVstyvZubnKHV++w10O9AZvoB+zlQDzjDPOUH79a+8D9q233qrgn5q+dd99SnJ8ojI8OKi+Uq665HLlk5/6pPs5kB//NhubFzEmJ70e59sDNgacEO9/4IETUL/jji8rBn2E0t3d487Db3wtgWlmK/3Jz8a07cFtisEQ5T6FP/P0M4zXR3v2udHCBECAxCuuuML97nT8ePw3v1Kyc7wDNW7evEVZsmSJYveYdMWlpdyHxx//zayjmV9cqNxy8y3K+++9xzioXztA5KFt2/id5yY8MjbGC/JNN904q7g+88wzypbNm5UPPvhA6e7pPAF2ZWU54/rwtp965d1x++18EMJBbrZSSUmZogvVKX/4w5N+QWLBBQ9cddUmr/wnn3yS+4CvqNOZ8vLyldycHGVw0PU1hoMu5v5zPvPxyquvVLKzc2ZtI54YG1NyV6xUNm/Z4oaJub76/POVZ555mkmGccZNlG/A5PsevJ/7cDIH84+9jM3vZex8c+Xj0wmd3kHkhGeJE+Ulr7/5OkVER1NCwnGDx5i4GIqNNlBZWYlPSzP3eOeXvnRC4wjWmZO7wu0Nobj0GJfJzsp0l4WHj9TERMrPy3O/m+0fkAXs3nuA/v7Si16gDx7cT2lpi8nT8wRkRdF6PVVVV3mVnekHyPp+9dCP6ck/POn2oTU+ftympbC4kOBmLTs7241KhF5PaenptH37Dve7mf4Bry2P/OhHtH3HDvrkJz9J55x5Nv3mN7/2AvvBB3v4OSsnw+t9WloG9fT0+ZV1ehWcxodHH/0Zxccm0qZNW+ipp54iPNfWGt0QTGYzdXR20IoVK9zv8CMj08XDe3edPr4FHu+++zbdeOONtHChy/fGkcOHGc/0dG/api9OI7PZRLbeXq9+zNRDqF5Pd/3XrbRj+3b6j//YTP39A/Too4/SihUraevWWxlsYWExK/qtWrXSC43c7Fx+fnfHdq/3ood/z41NRJH5kqeDHZ634xhoe/b19FBmprdjZ5SKMsRTd2fPaVV02H3wMN19111utzktjW284fraEi6Mi6Ph0VGynAblgbKSIrrti7dRZWUltZjNbm6w2aw0ODhIcbFJ7nf4gY1YFxFFzS1tXu9n8gEb79e+/k2694H7vcxVVJ+3yLdYrBQbHeumtYpPcmIs9wO8MhsJXluaLBZqbm6m559/kRLSUui+++6n7/3gB27wWGCRFi9Oc7/Dj7i4Rfzc2Tk7tAVN3n37bTJERdBrb/yTsLHC5d65555NT/3xKcalo62DnA4npSbGe+EaHxvLz81txzdBrwKz8AA3Wn//61/otjvvdEFzOqmxrZV/JyYnemEQlxDDmwgUNWYr3Xvvd+inP36Ydu78iM466ywatNvpb3/9i9trUkuLa74lxHjzQVJCCqPY7keZSwv34MamRZm5/H7qQ03n42kcCxpShK+jVp2OnM5xcjodp0U7Eji989a7tDgpie5UJx0RDY0NsAdyX2e4zql+OMdnN345Frb3P9hDw+OjhEl2/Q030K4pTcPBQRcuoZGI+XA8qd9IYyMjx1/O8K/33nmHcnOz6NJLL/ULaZKcPNb6qKgT8tWvOpVXTigwQy/S09Ppttu+QHmH8uiqjZfTLx55hBBOCml01OUsQfUGpKIwQRP80+nxJarmzcTfQ3l5fKD6whe/SN/9znfpuuu20B+efZYuOP8S+u9vfpMsZgs5HFN8sNDbaS82O6Qxx+zxgS8N9u3cS7GL045HLNHpaLh/gCJIR+GR3n7WnE7X0o81YTbTpRs20jU3XE/O8VH63//9X3rtn8c1Y8en1rOIWO85Njnp4gOaonEg+AY3tkCoNMfKOJ2hHJ3A14276nfPbnctFCraWMRGhwcpOtp1qlTfz9ZfqE3/4enH6ek/PeMFMiEphWC+4LvIDvX38jVaYqL3KdOr8gw8gH4PPHAfvfHaa/TGG+8wBFxHISVPnXgdU4uwCh64D48OUoqHg201byb+trS00G+feII+85+foxZLC+G5v9/19dVr66UWq4XgJzAqKopG7fYTUOiz25m2BoPhhLzZeIEvuKf/9Bf233r4yBEGGTv1taN6A1LxGB4Y5p/xPl9Hav50/wWfImVkHL+2Ay3vuutO/rrZf+Qgxca7vtSGh7w3sP4B1xgsTj7uaH268ZO1h6/MLZuv8fpKhwnAKDlpbMj7kAhzBaSkBO8bCBmMU8l/+8036Yc//D69+uJLdPDIYUrLyKBbtt5C27e7rhgTo1086cu33d2dDFYfFR0w+ODGFjCp5k5Bnc5Brq8a79MWrsUuuewyMjcavb7MhoZGqM8+SDnn5Hgx/Wz0CDKWr3/t6/TMM3+hxUmuKwUVbm5uDl+LjQ72qa94k+vuG6Sc7Fz3FYU7cxZ/bNmymS67/ArGD2DhZHrV6lVk8bkO6bX18aJ3ztneMpeZQnXX7t20b88eOvPMM2jZ0mW0bNkyuvlmV0imW2/dSusvXE+j4+N07rkrqLuvjwY8viRhw2a1tNDFF1xyWmmblZlJWdnZpJ+SdW/csIHJhU3aM5ktPXxVnZLmfbXuWWY6f6dPwen1sfHKzj0up0T8RsirLR7X1MChudl15XfhReunE6WTauuDD3bQXXdPXUNO1Vy5chX/6uiweLXV09NJS5cucW/UXpkz8ACe/M53v0Vf+MJtFB4ZSdnZOXTowAFKT8+k7333uwzxnPPW8N8Wizeu6hXl5s1XBYxZcGMLmFRzqCCEZs4IGp+6TvDE7LYvfpH67MNe8qEDhw5wkS/c9AXPojP+GwoOD33/+7TtoW2Eqyg1dVldJ+Mbb7iBXx3eX6ZmUX9vL1nbW+i6G653vztdPxanJND5K9e5wV+35Rpqt7aTerJHRmV5Eed/8pOb3OVm8seXbrsNmsxe/95//30G+c577/G4Q2Z588238btdO44rirS2Nbqu2r70+ZlEUdo2+AIRkzdctZHLXnzZZbzIlpeWetUtyNtNay9aTxlp3jIXr0LT+HDJJRfzQn8o75BXq4N215fjhWvWsDH0+ks3kG8Zo8lIycnJdPlll3nVna0HXJmfcUYWpfnIKeH4AF/npaUuPlXxMVZU0YYNG70UodS8mfg7NuIko7GJomOPf3UlJSXRAw/eT1arlQ+0OdnZdPG6dbRz924vFGCgjby1a9d6vRc+nE7V1CDsf40CUIuFuv8D93/rhAZgW5ORsUz56SMu+yWo1F533XX874TCM/gC9jTXX3eD8j9P/l6BCjQMcPEPNkLbHtrmhnzHrbcrl1xyiVsFGPZrsG3ztc9xV5iBH6BRfmGh0tPd7W4dqsUw5O/sOf6uraODDc3/9MwzXA59vPzyy5Xbbz9uI+RuYBZ/QM0fKt2+BtpbrtmiXAf16inzlp8/9gjbEvb1Hbe/mmk06xsalDfeesttwwZav/jCC8oLL77gBfqxxx5hvlVtww4c2Mf2jHCqMJvp5z//JcMtLi5lsMAXdlb3eThDAE6wtVTNVEBP2Gj+9KePzCaqXrBg/P70H/7g9U59uO+++5SVK1a6xwAG0bBjq6urUYvM/N/JSVbt37r1ZkXxMLe6/8EHldtvP27HtmfKDre0tJhxam1qVeKTE5Xnnn/+pHD897RjOykSza3CsKP5cM9HPLEuXrdOgaW+byqtqFBWZp+h3HP33cpNN97AtiPwQDJbCQs+PJ9gsfX3z9PWp89uV6646grluhuuV+665x5l1cpcpbDYxdSzhW9zc7MSHRvNHg7uuece5cEHH1Bu3bpVwXvfVFBQoJyxbCl7eLjuumuUm29yeSHxLTebzx98OLWxeRhoAz7G/LJLLlFuvvkW5dZbb1cuPv8Cpa6+bjZRU55/7k9sm7RyxQoFC+y37vuW8uEHH5yAAzbfe+75BnvEgAeYlStXKa++eqLXjxMqTveLyUn2KILDIfC94cYbla233OLlJQUgX3jpRWX5smXKg9seZC8k27Y97D6cTTdKsvbsfX1sW9fkh19RF5vzTVtvUa665BLlW/fdq6xYsVL5aM9xBw6y9qcrHxspYF91xRXsGeWmG29UrrvmGm/aTk4qT/7hD0p2draybds25fzVq5Tf/OY3J03bj30EbeHn6jzMhF9Ak7GadFOq/k5y0Lp1G912K2qXINsqLS/la4hzzj3PxzBALTUzfwG7uLiQ1aIBATgCX/wNDdXT+vWXniDrO3b0GI06Run81eefFvmP2WKhxtpaxjE7O9fr6tSXSrDBKS0tpITYJFpx7uzI1nxx8HyGNmdpcTGtWr3aS/0fZaDcUlTkshdctXYtK5Z41p2N39XVtdTebqbExFTKyjr7BF71xEEtu3r1BSf0xbPcTP82NTayrHrx4nTKzXXZUfnCbO/qotrycpYXel61+5ab6Wdc7RYU5NOGDZ8QgoLv1r6+Hlq9+nzXFeRpsOcFrrXVtdTT10ki2kID1WiqpZyVK06QzQs7OZUZ3NgCoVKwTJACQQoEKRCkwLyhQFB5ZN4MVRDRIAWCFAhSIEiBQCgQ3NgCoVKwTJACQQoEKRCkwLyhQHBjmzdDFUQ0SIEgBYIUCFIgEAoEN7ZAqBQsE6RAkAJBCgQpMG8oENzY5s1QBRENUiBIgSAFghQIhALBjS0QKgXLBCkQpECQAkEKzBsKBDe2eTNUQUSDFAhSIEiBIAUCoUBwYwuESsEyQQoEKRCkQJAC84YCwY1t3gzV7CIK7yFP/Pa3dOH69ez4NSsri754221UVOTtTHV2sZo+aHv37qUf/ehHBE8IcznBcwjGAgm4Auft23fNZZTduHkGM0U/gPv+/Xvd+TP1Q6XXdLfvORaytrdvf4feeutdWTHNfDjaRvRuwAymk6dAcGM7eZp97GtgAb3yyqvpm9/+NsUaDPS5z36W1m/YQDvffZcuu+QS+sfLL897GmBj+/GPfzynFw5sDFu2bKEXX3iB6Y2AnMB5/97jHvvn6kC8/PLLtG7dxW70sEAD9wMHDrrfzcSPN95+ly6+2BX+ZDrbd43FNfTcn/4obRYuo+66++u0Zo0rZIy0gp8CiA146FAePfroo35yg6+kFJguB5fBdj4+FPjDk0+y49pXXvF2QgvP66vPX81e2OFYNZhmlgKIMAAn0k8//TQDQlQHPMM571xPd911l2IwGGYdTTixNhgiph0uHGKD9k8+/riwbcyLq6++WnngwQeF5QLJhNPg2OhYpaKiKpDiwTIeFEBkr2AKUsCLAtXGKkpMXELXXnut13tEP37wvgfogYcf4sjNmZmZnI/TeFlZCe3acYiGx3tpxYpc2rx5C6G8miwWK+3cuZ3MZjPFJSTQpquucjuXRX0EmUTcqMrKSsLX1Cc2bqRPTAWgxGl5547tVF1r5LpXX3kFnX32OWrT/NV17FgR7d69k4N+pqen0ZYt1/AVqruQzw9c9fT19VF2tiuIpNFoJERyBi5vvvkmx4hatWoVbd68WeiUubq6mpYsWUqdnR20fccOQpDKa665jtauXUNWm43efPV1am+38JXupo0b3c6fAQeOdndM1dHrQwlBKi+5+GKG1z80RI2NjYy1tcvKcdYM0cdjWQHft956iwOhbty4kdavX+9uG5XQ/pEjR2n//t1ME1wpX3nZZRzkEfmgaXd3Nzt7Pnj4MB3cv58WL06jm266kZ0Pw3Hy22+/y2Py6U9/2k0nte2qqiras28f9xe4X3rpBjcOGEu0T+SgWpOJkuPjuU3gjKjoaqR34Og5br70xpXirt27qLTYFaftggvOZ0e/nnzFBJr6X3t7Ow2MDJFz1EGVJiMtiXfBApyKigrauWMHx6NDwNjNm7zHFbcU+Xl5tHf/fm4NV+8Ye8QMQx5wR+qy9fK4IViqv4Sr+g8//JD++Ef5l52/+p7vEIxz85ZN9MMffZ9e++cbnlnB3zIKeGxywZ9BCjAFHvnpI3w6fWYq7piQLJOTHKtKrw/lOmqYmtzcFe6QOofy8pQlqcle+Sj/yC9+4W563bp1ygUXXMDheNDGBRdfzHn1dfUc60ptF38RC+vJJ5/kfJyQH9z2kFfbKBMbH6+IYnk9/PDDXEeN/7X0/7d3JUBRXVn7S6dFMMZBBARklaEMIukwqGhwi+HvkJY4iAhuyRDEhWEI5WScxIWxXIhEIwaNDBkNWgaVQWhRiRM30IDyGzMTjT9xIW7REMZkHM0QF5a+U+e8fo9+QBPHqvmrLN+t6n53Ofe8c7/7+p537z23j6+vSEhIEB4eXipeMePHd+kyg2YHs1NT2YecLCPJt3nLFjEgKEjFK9PmLT575QqeFct15GtScgq36+jRo6q6fgFBQp6xkZ84ap9ch662MwTC5JWkJKHT61Q00UaT0pbNhYXC1dlZ0P1s+YSFGURefp7SD1RG96LZoxwWzp/fqewZcyX/gISjLc933lkl7ty5w3lLFkt+AolXcor63lSH2kbtpDaQWyZbPhQ3GAxcLstieyW/abb0OVmSf7T58+d1kJfu02D1v0f3im8nM/Eh1zXkF7B9X3i4e9neVhVPSIgX0dEmJY94FxWX8LMVYzKxK6GqI0dE5MiRYtasOUxHbp7SyWWTIUzU1p5W6lJk8+YtPPP9/3Q7pRLgIU1o/tge0o77b4pNjhMjIsJ5kAjyGyCSk5PZieHlyx39k+3Zs4fpaJCiH1/z3WZBChE6iIWLM8XNm9+zsvD19eYBguQmv1GmaJNwAMTRqhpuCik2Gky2bdvG6fPnz/PgNiQ8XFDdQ5WVnE/3mDNnDg+857+S5OnVq5eIj49T/DodOXKEFc3atWu5Tmdf7RWbX0AA339ZVhY7ZKTBNS42lvNO19Z2xoLzHBwcmCY/P4/lJbmdXV2Egw4ic/ES5kU+86gdHh4ePMCT80RS7M+NHq04VKV2kRIlDOje5OD0T/n5nJ4zJ0Xs27dP3LQuRfZwcBbbCgv5fl9/fU2EhIYwP6pHgfEHRPayFZISaG0VRcXFPEAuzMxkGlJsdC9DSCg7nKQBOGvZEs6jAV32mVdSXMx5r78xj+vJy6PR0dHc35R5vaFBUJr40YvCX48fF1FGI/dRSUmJuHjxK9F87x6XL1++jPkUFm7hNPlgI7lpcF+5YgXn5eXlCbPZzPGC/I3cTionBRkUNEDU1BxnHu2/6EWGnOpSn5SZS8TZs+fFrp07mc+8efMUef+yb59wd3ERtGxJofbMecaPHODSfcg3HLXb289XbNtWyPLJfZGcnCTIsWtn4fubPwjnXj3F2vc6Pnfk429IRIQ4dKRSLFu8hH280TIj9Xv6r9PFeuvLRF7+RhVreQl040bJua2qUEvYRUBTbHahebQLaICiH3pYWNssigYuGrBOn2pb8585M1l4uLqIH27fbgOstZW9OdOAtc/q3bls9+62ciF4sKA9GFKaFEix+Qf48iAmE546dYoHHHNJiZzFVxqEqS4NFhRohkRv4OTRWJ6BqSp0kuhMsQUPCFJRms1lPCh+9FGZKt82QTM2eXYp548eOZLbIqfp+sb8eTxDooGMQk3VUR7wZRoaUJdYFYs8O5KViLLH9oO0xxYXFytX4+t7q1aznF9+KfULzWrIe3b7MDdjrqCZKeFHipH6s7i4SCE7e/4852Vnt82kqZAG65SUNi/hlVVV4vLFy0o9wjwzcyHXlR3ftt9ju2NVbEvekhSbyRTNM3GFidUhZlFRMSuXwsJtzG92RrqgdhE+9xPmpKer9vbiE+J5lid7EZd5rFghzZjJSefn9JwBIj4unmf5nT1Dcl90tcdGipUwpWe+faBnZNasWYrSS8tIEyEhwWLVqlWCHANfa6jn53jjxoL2VdmJqPw76VCoZXSKgGYV+VNrtY9oOe1jLF+6HJ9+egwN16+j2FyCqVOn4pPDFXhhXBT+desWI3Px8hX4BQbhye7d25DS6RBjMvFeypm6OtAezC+efrqtHOCykJAQXLp0Qcnv6+6p2ie6UHeB94eSk5Pg1ru38vF0c0NT013ec6PK6RlzcerUKTz/3Gj4enth3LhxKN1R+h9bPIaFD1FkocgTT0pt0uls2qaikBLhBrUVXncnJ3h6eaoodfoegMURFgfpJxdsCMX+/RVInDIJzzzzDLw83JGVuZjrkPVjZ0FvkbbEAwICVcU6J6t8eh0fDfjmyhUcPlih4CVjt+GDDWi8eQO0v9hk5RA0wMaJpk4HBwDuHn1V/B0cHAG0YWAIDsbej/diUmIiBg0aCF9vXyxblsV1Gu/e5mtrq4qF4ui2Ozm3tFhw9eo3MBgGq4j0ej0SEyfxHiNdI4cPwfu563g/1b+/P16dMQOffSY5TVVVtEk46QgjyUSe9tbqzl3AmTO18OzdT4XH21mr+dm6cOUKggcNxPi4BJSYSxAeHg5/f19MSZwi7bdZLDbcu47W19czgau7u4rwm2+/xYmaGvRx64OU5BRu/47tO0AObYcOHYqnQ0JQffAYWiwtGDO2o7PQwEA/1Dc0qHhqia4R0IxHusbnkSulweCdnJV4duizGDVmDCsaUnKTJkzkz+TJkzF+/HgUbNmCjPR0PNbyGBxosLbnjbfZwoqtpZMBwmJpQVNT28Dh6EDDalsQjz3Oidj4BPR1c2srsMYGWA0/srPfQlx8LMp3l6O4qAh79+7lz8zZqfhTfl6Hev9pRmeyyzxI/u7d1T8jS3Nbm2Q6B7SgBY1wsEjKJzJyOGpP14IMGcijcWLiNNR/exnvrbMvLw18nQWd3nr/FvJR3o1JDOFhGDViFCzUNTbi0EuGo6MjKzAi7N5Nopf5ygpPTstXnf4eR8koJHJkJMjTNRlzkNGIv78/rl27ivXr86CHpLgfl7pOrm5VNWTUQjKydQt09p4ZgJ+7A4eO4EBlJfaWlmJneTk2FxRgW+EWbN+6HXHx8Qpv28gdW4ys/P0CAhEXG2tLpsTd+vRhr+KFO7YivToNZWVmlJaWoqi4iD9ZWVlYsGCBQt9VRH6Wlf6wEv+5aCv/Bl5OmMxKu7r6GK5fvw4/Pz+MGjGCqcxl2zAkYjjsGaXcu/NjV7fWytohoP5FtivUko8eAq06YH1uAWqGfY5RZJXYbvB50fgig/Ld3//OVw8/D1Tsr8CtW3fxs5/Rm70UsrNXwrOvG34+oD8aG++CZm6yFSVR0ABZd+ESxsfEyFVgHfKUtLe39OZrjDZiyqREJZ8i1ceqYQiVzgmRy/t+/XywdOlS/ly5ehWvvvwyPvzwA6xe9bbKOlPF5D4T+nYY2FZjpW6bAUDXTQdlSmQts1j00PNsAjxgklI7sO8AooxRSu3ly5cr8S4j7X61FushXprx9H7SEX3cXNCzR09kZ2er2NTVnYOjYw+eLdtTYOpXi7bqlhZJAW7Y8D4rtePHj/NsQ6b4w6JFcpSvzc3NqrQsMmFJH2d3D5z+/IyKhhJLly/FgAHBMEVHsyWiyWjEeJMJ+QAOH/4EL700Djv+XGpXsTmxYpXuRvdxdXdBQ/3dDljQSkFTiwX9+vXjmX3tF1/AYAjhZz4n512QtevEiRNQXFyC19/8fQc5O8twdZWsVn+4eaOt2GLBkcNVMBqfR5B11WLv3jK2Np37+lz+fX373XcoLjGjoKCgrZ5N7Pr1Gwg1PPiZOBtWj0xUW4p8ZLr6/hraXaeHyfQcPi4vw8f793dYzluZu5IZRRmNfI2NiQUtwWS9/QdeBqMZ38GKCixbspivI0aMgbOLC37/29/yYEGVaCnstddew80bNzBtyhS7goWGGhAU5I83f/c7NgsnQjKDz83JwcjIkVi9Zg1OnvwCYeFheO03v7GamAM9HB3RrVs3uPR0US1t2r3RTxR0NWPrrGpzszS7sS3T6VpAb/JNFgsvgVFZC6nylhY2JyfMqD0ULPdsplgAbt+W/nlE4ddu4ibPEIgXhcnTf8Um57nrcxkvyqPjGKNGjcUL//P8g/3bik5aW7x927pM2kIzUOnfUMrLy7F69WpFPIoQ/rRcLMskiyxj+fL1fXapAAAFn0lEQVS0RJypO80HkMmsn+h2lpZiceZi1Bw9itw1ubwsuHXrh4q8Li6kOHTw9FMv89remGaodF8y0acwccJE1NaewYJFbyr/4HLuQh1eeHEchg0bxs8MPee0BLn67Vz860dpZkRHTyjQPek3QS8NFOg4gb3g4+OHnj0dceXqNwoJ8fu0+hhMponKcuz+g58gJiYafj4+TEd/fED3i4qKwq1b/1DqUoTace5cHcJCQ1X5WuInEOh0503LfKQRqL/eIAIDA9lwg8ySFy5cyB+KkzXf1KlThWhtVTAiK0XaNHd3dWXjBKIhs3myhqNw6MAB3hinfB+fAOHi4sz0mZlth1jJeISMLtof+645cYLNzakuGT54eUnm+GRRKBsUTJ8umXkTX5k/0Zt3qY1OFIGFEJ0Zj3C7bIj2HfgLy7nno49sctVRssDLyMhQZRqN0WJ4ZIQqL3PJYj5sSwY1DQ31bLVJMlJ7qF2EnyHMwFeygKQgG8mQcUzEkAg2uCG69ge06UA95X95/izXI1yixo7mPA93d2ufOLJRRVWNZIUqG4/IBidU8eJXX3Gdgs2bmY/8Rf2akjKbk2SlR+b/Ul/6CDJ9B3Rsqk4yVFYeYrp3cnKYF9Ul61TZeCTbajxCz49sYk8yenn5Ms/AwCC2FCSc6BkknoQRWa0SDu7uHko7Zflsr3l5kiUpybU2J4eLpiclMR9XVxd+PogPfcjykgLhJR8tIFnoGerZs5eEV1UV0yh94eAsQkNDOzynTCSECA0OF7NnS1hRHllQElbUHgp0fIDSu8x75CqCDLD69+8vyLL2ZmOjkk8RsvAlDD4/fUqVryW6RkBeIfgJ9acVP0oIeLr1RU1NDXLXrUOZuQS0z0CB9lTefXctkpKSVEuU69atw0u//CUbLPzzdiOGhoQidmoC3Hr34Xpjo6LwxZf/B7O5FBcvfY0+zs4wRkcr+wtEFB+XiMe7WaCnvTibpb9hgwfj5MmTKDObUXfuHPQODoiIHI6YaJNycHrTpg8wcdJEVFdX425jI7y8vWA0mviQNAvQydfgwYORlpqqvIknvfIKL0vZkgZ4B2BOWhoC/bxts1Xx1PQ0RNr8dRQVxsSY8OM99WLfsF8Mxd3ZM6B3dOSlwL+dPIlN729Cw/f1cHF25v1MOpw97435aGmRZnw0S9i5axe3nWah0OtZ5oiICJUMtExFcjr3lJbCnJycULb7IPZ9XI7qqgrcabHg5wG+iIubpCwHBwQFMS86lC4HR+deyEhLUx3GprJfzZyJsJAQJvPx8cHfPvsMW7duR0NDPVzdXTF2zFg+bE9/maVnQxNgVkoKWpubcenaNXh7e8NRr0dKairCwq0GIzodtm/dimnTprFBUlNTE8LCwxEXG8f40M1OnDjBh8T/98RxPG6xIDQ0FDGxsejnaX/GNnPmDDQ1/YizdRfh4S3126YNGzAlMREVFRX8fHh4+yJuvAkDB0kGTYTXocpKmHeX46/Hj4JkIYMYMo6Rl8+pL3bt2QWz2YweDo5ovnMHeicnGTrlmjp3Bha8uQhr1qzh55MMgZYufUtp09UrV5CalgbTS9FKnZHPGeHv7YepU6fjySeeUPIpUlJcjCFDIjDoqYGqfC3RNQKPkd7rmkQr1RDQENAQ0BC4HwRoWXXgwKd4r/fVV2fcTxW7NLQMGRz8FDIzF2HGjJl26bSCjghoe2wdMdFyNAQ0BDQEHggBsiBesGAR/rj+j4ol6AMxApCXlw9v736aUnsAALUZ2wOAplXRENAQ0BDoCoGJEybwmbT09IyuyOyW0f9ePjtsGMp2l8Ng0AxH7AJlp0BTbHaA0bI1BDQENAQ0BB5OBLSlyIez3zSpNQQ0BDQENATsIKApNjvAaNkaAhoCGgIaAg8nAppiezj7TZNaQ0BDQENAQ8AOAv8G7PJOS0RqNHkAAAAASUVORK5CYII="><em><strong>(A1)(A1) (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em> for mean point plotted and <em><strong>(A1)</strong></em> for labelled M.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>straight line through their mean point crossing the <em>p</em>-axis at 5±2 <em><strong>(A1)(ft)(A1)(ft) (C2)</strong></em></p>
<p><strong>Note:</strong> Award <strong><em>(A1)</em>(ft)</strong> for a straight line through their mean point. Award <strong><em>(A1)</em>(ft)</strong> for a correct p-intercept if line is extended.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>point on line where <em>m</em> = 20 identified and an attempt to identify <em>y</em>-coordinate <em><strong>(M1)</strong></em></p>
<p>10.5 <em><strong>(A1)</strong></em><strong>(ft) </strong><em><strong>(C2)</strong></em></p>
<p><strong>Note:</strong> Follow through from their line in part (b).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Each day a supermarket records the midday temperature and how many cold drinks are sold on that day. The following table shows the supermarket’s data for the last 6 days. This data is also shown on a scatter diagram.</p>
<p><img 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" alt></p>
<p><img 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" alt></p>
<p>Write down</p>
<p>i) the mean temperature, \({\bar x}\) ;</p>
<p>ii) the mean number of cold drinks sold, \({\bar y}\) .</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw the line of best fit on the scatter diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the line of best fit to estimate the number of cold drinks that are sold on a day when the midday temperature is \(10\,^\circ {\text{C}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>i) \(14\) <em><strong>(A1)</strong></em></p>
<p> </p>
<p>ii) \(380\) <em><strong>(A1) (C2)</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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uFS1Df8jvQv1hvTVjgXhdFd2hnhF2HEsvHzIsyY9+JnzM+n3hVkzyot5noiHfNyMU+Eo7bmqed/R1rF97Huc+nBRcPzMC1A5tA3q3wrlPiy+uFF8rzFd+fbF+vn01mTC979r5hPcCO8YhnhHdusekjTMI0winzhNRVB+HeVoe4nvPKEPDmOAeWDDhefCCume54VaXJZH8sW88e0AD0s1mP7SKW+2M5Yw9P7mY+upxGPIhHp/EceecRe+1Ovs7/xN7/Gvu7V32y/9ItvtOWCznOp4YLh3R94v11/4NpqcokC88Wf9iJ75zvf5WR++OHHbDof29UreT645Gu/4ivtne9+jy3UF2EyS3CKWg0UcHKh6Z3PZJrZ6empTSaj0IcIbwleTYZxUgzlCoMibnmJ37BAiNgO1X+IsVhtqF7e58y2gh/eR3p59b6dRrlFQEflYh4hy7sibLqdfEFBuEvfR9gwdcYqyFEKiHv++D30SxAgzuI+zvQ+bw9CIg7AWBYc4qAQEqJ0cQoO6efwp3xm2ZLcsV2OYaCf2pbTUPWh0kgpUnkg0yeCAUgsYySSQmx39HOVXfUV1wVSb+zE0G5lFjxArFrqE1/eBr2Lb0M6+elb/ynY1JevaEGEfvBU51GVBHcnheMjnATFk+NkHCCrjOgUSso6E9oinomQw2eW2Gw2d95azBUV330KVYHGZWa2WGS2WCxtMp7YfL7wv8V86e2aTqeO33Qys/Fo4mmj0ciGw7HDBr3pbGrzGeXmtlwubLFY2LA/tuFgsqL1bDaz8XjidVD9ZDJz/plO58Y7PToEou+Z+z+qXTnN1Y7E6yJfUXCTdz4nb8nrBRcejQcLtMgcV9KgDXly2kGvmc28LUqn/HQ6E75Ls9Fo7Ioen7Sh1x2of7PM4c2mc6clfT4aQc+ZQUvGcL8/NOhJOs94PPbv1N/r9ld5RsOxHR6cOF693sCZRPQSf9CH0G0ZeLnfhc4L7x+4l7z+LBObTSVbxuOpJ0VZspgzBoUX9cPDktOJ84PSMvmShnrmc+g7t9lUeaA1cOAfP5WcZdYf0DZN/IzPbmfocKczjfXpdGGLLHNe6PWH3raz064NBmObToQr9JlMFjYPZUB8MJjYcDyx0XjmI2LQm4f2iCbLZaJxG/iZ1MFIvNvuDr0MPI5CC458498ysNZkBj+a9XtTW2aZTWczG42mNprM/Td9OJlMbTKdW28wtuHE7PSsb/PlogDPUbLJEl5Y2HQmHhqPocvIZrTHMpvMlt4ODAz94dT7oT+Y+TjqdEcugYajmfWGYxtM5j7XZUlmvcHUBuOJDQNOne7EBsO5DUYzQ9QNhlMbL3wqtPFUDesMRjaeLbwcfToYTmy+yKzTH5pvkCeJjRmLZjYai14L7Zxbrz/ydMohv6AffQt9ZvOl0af94ch/94dj4/ViObfpFNkRZKHvekiRAs7T+ZS+//u///ufTgRi3UWhtbOzay//q/+p3f+i59sHH37M3vhv/q1tb23ZX/yLn76akd76tndZUqnYF738pbrvNjFLs8Te+Y53W28wtJe//HPtV974G9Y+PbFv+9a/46fbmCRQrI4Pj+y3/v3v2Dd8/autRLk0BrLEtK/Ji1U08zuGASxRg1FmP/8LP2v/yStfaa1my27duuW4lNLUztpta5+1bWt727qdjtXqdTs6OrV2u+0KXa1Wt+FwZL1+1yaTpZXLJUuTxHpnfRv1R7ZYLq1ardntW7dsNp9YmlZtsZh7WRivXEZ4yFI1GIysWi27cKjVUHxKPgjL5dQHLkKn2x1YrVa1yYRTfanduXNkm82WD7T2adsaGxt2fHRkzc2WfejDD9tGo2lMYJVyxY6Oj6zZbPpg7fcHNp5MrHPWsVqjYb1ezzrtvrXbZ4bQSkslt+hN+I5g6w0czlmnb2lqNhqMfWIpV6tSbLNUA6M/tDQpW1pK7ejoxPvk7KTnuEKzO7eOrVJp2oc//KhdurxjH/zgTZvNF/aBhx6zra1NF4R3Ds5sMJrYdDK1ZrNqx4fg1bXhaGmbm2V7z7s/7EJ2MuX9ht14/MCvuanXa3Z00rbmRt3e8SfvtmvXrtpb3/J2u//+63Z0eGL93sSOD89sd2fbTk+6duvWsY1HU5vNpsaE8Z53v9/MynZ8fGI729v2gYcetXZnYL3+xOrViud/6KEbdnjUsZu3bthWa9c+8NDjtrm15wuBre2Wvee9H7ZBd27Dydjx6PcGduPx29ba2rHhaGLlUtkeeugROz3tW384s1azaTdvHtt0ktmd47ZtbdV8Un/40cesVK7bdJoZk+IjDz9uadqwJE2tUk7szu0TGwx7tshK3l+0AUXEla+s5H3U6w2tUim7YlEuVb2/EZwIK3i70+n71na327HxaGYbGxv22KO3LE3L9vhjd5xOBwfHNpkvbNAXb6KF3rp5y/qjqcFDm5ub9vY/fofVG1t2eHBs+/vb9vCHb1i9VrMafH/ntu3t7Nrxcdt5+PHHDqy1tWkHd06s1WraYNi3RqPhCyV42RUtP3yR2vve+5DV6g2bTie2sdGw4XDgYwnlbDJlAst8HBIOJMvmNhpOXSCDF4IbizELIejCZI84RiG5efO2VSsVq9aqdnx8bMtFZrVayXrdocFDTGaTydh6va5tNDdsMkb5mdpoOPLfnKalreRjLFPm7LRtt2+dWLVWsUajbt1Oz+vb2t708QwutI13J8enzrcnJ2e2tdVyOiJHGNdnp30fB7dvH9ju7padHvft8PDEFatquWE3b900uvnS5T27c+fQSmnZTk+PfcI6Oj60d7/rvT6xl0pV73v6eHtnw27dOrDEatbpdGwxN5tMJ3Z40HPa8H3QH7svaAnXiCRxWTBfzF2Zm81n3l/wxWSsia5SKdkYmozmPqFXK2W78fhN29racSUMmQMPdLtjS0tlOznq2uZW1U6Oh9Zq1ezooG/NZs0qlapBh3qzbnduH9v2Tsve8kf/0Z733Ot2++DMtrc37fFHD+y+6/uWlpd2+9ax9fsjG/QHNhgO7eGHb9tiMbPeYGL9AZN8Yos5vFyzwztntrm14X2DInfz1on1eh0rV5vW6fB97P1/+dq+y4b2WdfHRLtzYsdHU5vORnZ61rb+oGdbO7t268Zt29vftTt3ju309Mj2Lu3bo4/dtoc/fMcym9nu3rbdunls3cHATns9u//6ZVf4Hrtxm8u3jPG42dywXm9ki+nSuqOxbW5U7eCwbdt7LUvK5vRqbpTs4E7ftrc27MM3j+3y7obduHFsu/vb9qFHDu3q5R2fZx5+5KZdvrJvjzx6YMNh3+fG09O29bpTG42HNhgMbe/Sjtc7GPSdn7u9kb3jT95jabVig07X+H18cmpZmlhrs2GPPnrLjo/PvG+nk7m9613vt2Zry46OjsyykvV7PWu3O7bZ3LKDowNr7bTs7PjMTs86dnZ2ant7O9bp9q3TG9hZu2v7+zt+i8bB0akvHvqdge3tbdnJcdeamw1fECCj4lPUFWLavfpMsqdbZfPVm8zSQiVaHBBdiQ3GU3vNa/8v+7U3vsne8IbX2f7utmvP//trfs5G44H9l9/9d335hyJEiX/+Ez9l49nYvve7/wv7R//t/2gPve/99vqf/ZdWrZWDeTuxN7/5rfYDP/Qj9sv/5g1WTZeu+DDAvuc7v9s67TObZQtbjGZWdl+cuTNKfaNlh8dd+8nX/m/W2mna5f3LdnD7wAXqlUsSTNfuu2wHh0d29coVOzw8tr29fTs5ObarVxkUZoeHZ9ba3LBOr2+VWt3rrZZKdnJ0Ytfvv2r93tiam00bj4e2mCVW32Alm7pS0m4PrLlZ8UGAcIfh9y81/dReWq74ZO4TUKNsnTbKR8km47ldutSydnfgSs7e7r61WhvW7nRtMZvZ9v6+HR4e2v1Xr/igTysVy5YL291qOXPXGjXr96d27dK2C5nhYOCCvVwuO0P3+31LsrItksy2Nxu+Amo269bujF35aW3WXAGolss2my6t2Sz7SqRWq1mvO7LWVs0VQV/1TZau1NYrJZstFlYqp3Zw0LUH7tu28WzpPmyPP3xm99+/axvNio3GE1/JIVAb9cSW8xJ7EtZuA7dipVLZFsuFHR6c2vVrl3z1i81ozhJmaT75xRVMvYFCx2p+bFmWWgV/uRo0nXm7WRnVqyVzy0RqNl+kNuwP7PLlLU0WS7P26cCuXGnKspKl1u1N7fJ+zX245lghktRGg6ltb9dstlha2VK7c9Sxq5dbTiuUmOki8xXpVqsmK8x4brPl0nY3oZNWVodnE9trVZwnaEu3P7FapWSNuhSgZZZY+2xue3tlV3oYTe2eVn97WzWGlCtbpZTAq1rtwZso7fAM9fDHahghhTVBPm1zV/br9bLNFs66hpJ76XLLLQRWSq03GDkfYKdDwe8Mx1ZPS1ZvVGQhKaWGJeDy/pavZtnZg8aVMsqzbF5nZz0b9Wf2nOfshkVC4spc1ZVuOZGw0m7U684jKqU88FV8UF70G7otrdebWGurHnwSZUVioVQML4J1rN6or2iN4sRk7ZYPF0tYRViERO+WxIaDoY9Z9Q8WrVgvmIiWLC5QdMCDbmRxtbu3G34n1uv2bGt7K6Ju7bOOK12Ugf50GhYqFkpa9KU2HI1sA1zDtgV9hKKDoikbYmof+uDD9sIXPl/7S5bZrVtHdv36VecBVoLj8cL5bGOj4nBYxLXPUJ42vR4Qwg+0Vq1Yyecr+HPhY76+ISs19TLpoqz6xeVunbHCArXkCzUscfmkl9nx4cS2dipWrQKH/stsPBrb9g5waOXSju4M7fLVZsAltdFo5uMSn1b+IfMH/YU1N+NkurDbh2d27cq+w2DHYDSZOK+YzQ3H1qPDttUbNZfDXg8WocHYkFvMIKjMWNT4bOB+YYl1u32r1mrWqEEn1Xx8dGb7l3dMNunEldhas2Yb1YovWLDWYfFiseask5mNJmNr1CuuVJB43B7Zpe0NswRzTBqsKgtrNCoW/dFuH43svstNx4ybKaB/qZxYFRbEhQM69eZ2qSVcsaAfnY5dgcIUTQ4sWpUqEscx0XjoTl3+BmbwRR+LudieW7dvWWt7z1pNxsNSC43F0seQRFHiSuHVa5xKF4/Ct1xO39jg+jDSUjs5PrO9S9uBJxM/qb6/xyl1sXuv1/dFkbbWM7cc9vp922kxHjR2Dw+HdulSI4xVGQ5Wg+Uef4mcdo+rPV/deY0xCnG62qxZq9p3/4O/ayftI/vV3/gN++ZXf52laclqTMZjbY/h8KknsebGhjXThtMaZr1y3yWr1n0EugAmH+W3t3ecVyjLv9rmhn3b93yXzZclX/XiMJUtFpYS0RubQlq2f/Lf/4BPbtevXHahur29YSUcwROz++674t27mNHJmV25suco+UB0f4OlXbmy42bka9f2ZbpyqxG1b1m1WrK9/aYP9OWibNVmaTUhMPnUx4lbFsTgVRsMelarbZvV6MK5LRclVwIQhDs7TbeMtU8PzKxlO1sbtrPVcsGGUNh14Zy5NW2jrrvx0PrBvN/r++DcQzFNEhv2mWznHvWclQ/YajsAS47w7XSHPqlsNgVrMh5Zi3eWWXOj6itbVrnA18SxsHJZ/UzXNRtVS7Oxr/bTUmINgoNayUqXW1aroBxg3l7YdqtqW5tMYGaVjbrVSiiQifn8hRXOMtvZrlndLW/ea3bflR2ruVCWYEY4JqWSNZA4ibYbECWM4E2nRWYTth4yc+HMF8zITJJlzJGWWKWc2XySWpJlmhhSs4YrXalVKxI50yoiAKmW+UQxm2e20Sg7TaplmGvploQ4+WaJgqLSXoRNKZVSV/GQqQgJ2Cmz/d26lYMzNPi0WIGXeRm2q81ss6m2ShnAMsJEz8JAo4R0Jp1VQvgWXsv3pYzVlfz8J6UJHvX2uL6QWKvFJJN4H5CzUSq5RxFlKFu2hZUqFReoWEDpn4qXdd020IL+k8WCSebS3qbZLvjLGRY44O4WXw1jS9PMJw21RliziEBpiY7XTX8AACAASURBVLIEpT5/UqenMzwtSqgz9a0zKSXKWXYFEbrwYH2q+nYbdceyKOLFB+uSlCWVQUkD56josKNXR/EJEzzkrDca6i+nU2JYZ7y0+zFhTcbiXAkweIMygfVuK8BGhmk8eUGoxXZY2DqPPcuiwzvE77pcWq0Gb8mNgMMY9TrKDts3qaXUbUzWwo0JDQUI+TWbzlzZwHrQ2NBWmurVthnKkmPppEs1Hn200496KpX8O7StNxKrVNV36rO5be1IoRftUitV2TKLvLE0S5eWcQAo/KOKyWJoTWuFWkpuoXRaewPEc1ygnmTSyC9f3vFtMNpKe6BHvapxCRCURhTEkW9JIqOYK5rW7k180c17ZEVri34HJ+hZtt29lo2mKGWx71NXloDvki5JguIWhhRzW5O5A6JBGyy65tbHqJAAaxeaRN7BhSJlhwLeoJzU5Xo5Qzd0VLxfq/QnagyUMJsvWaA52mFMl6y1RZ9BX/EzFlDvDQokS7v/vvutOx5ThadvNLXIjfemMj53trccffVfYru7277Nyzs9c2ugcKkXPWlvNyhL+IlZZq0WyjkPSiPbO5ltt+hPfvMwb8Y8Ielp/Dg/+p9GRGLVGg7S9BOCKyUV13pf9RV/y37zt37Xs8Es16/s2sHN24EB4DspAI/feNy+4As/3yfw6w9ctze/7c3G/vxma8PTKPvWt7zVruxfdgaFSRgDVUvsZZ/5FyR0PS0PhOmihDyVzLcF6FhWpy3XgoW5WDNxS5FSgAxDaOWI0KVuGFNcqImVvGxZRCjAbmz4zcCe5KfMGDj7zeBEDfuZ3cfJQBjM/YLK1thAyUC4SEiwJfacB+8TjKCwYY3JHwlOmN7hMNmgXm1u+oSi8biwy5daTiC2O2ljs9mwDVZj3jz5Nm23EB4kMFBSu3pl19/HgeRoluRk6HIsSX1bMMcl8RV1FALgQ12sBOEE2lWpluz6AxqgahQTEatX0Zk0SpGmFP43q9ehpSZw9s2bGxW/QxCrAbi4IGeF5/h7EauxCuTxQc3kisOy8jP6EUYoyxSh3Qi67S2VcWvEMii3TkSBklKDgKY1EnU7O2VJMbdDVSwpo4BpBJCP79JN6CvKpUFZClIsY7tW8KG7qJZZuUYpF9NeX71OmyXogVu0qnhHrRQNeCuIt+BU7ETwNCZfbHQoUnOfJFAS1UThJ1pHfFDcml5ceYQP2yn0rdMA2gUFhMkep2XPm8zCZIZFJrWNDfgt0N/MNjai1QHW1Hhgq1CPfrNthNDVuDPbaGpSJw91QA8UIscljM2ovDoc5wksUHGiF114J74GTp6WTxIoEZ7L83nz3IMYyip/VEo0KaS2v7/vVWoMme3u7fjvwCjeRdECJdgo01J+Yrfyubsrq5UQyOx5z3tu4C/VfGl/Txg4KwgXxjOP6k6sWoNujBfeY3FcGoqkF/R+K1nJLZMBxaDQyq0BWtFngqEWSyZIKXDQjhNWYPpWeWZWizsAzibIiqX5og2q0egstUbBgugIJYntbrHjECZby9yaTO16WKRIqdeMsnRL994u8lYyAVy9fRQIxKXlWJNCo73VO62GT+aiGvSXYiy6yJesHhafsW59arwLVvQmB8OlNeLqQRm1CAi8KZ1jQbRkSypSTLGQIc7Es2CCWEishZzMRYJtbaKkMMbUH806QoJFUmxizCzeZozUq5K1Euwu+KwV5yrng4XvToA3cJEDjUacT0Rx/OLYNg5s7vzT3Ci7G4aaKOoxfuhTSQGNp2W4wD4psbCjv6XMgg/bfvBH5P1ArqflQxS7x1VL0JyvNKaJvQLLJ6gxYox5MrOXfPqnaQWbZfaiF73YPvih97kW7SzkPJjZ44/fsBe+6CU+0X7aS15st0+69tjjD3snQPD5dGn//s1vsT//mX/J5RGMpBWNxkeo2TvUOxbhAotkiS2mM6tVmCQ0iHG4jE/szOgQG9uDT0PMT158mTTTwnhqG3vHPLAQq2ycZsHLcQsVZCwhck50nx7l1yBYDUtwW+JomYXVYxwklKe7YwuZ+GWkFdxQEbV4Y8Tc7gAL/wZccdodDlh5QLeLMIGPz0hXuLsvDMqI2hlpxOdggA9J/uBTkgtaDSLRMuCcLe3ooB0KgNDCBtA2elwGDPEB0UAUdY+Oz0RZV6hRqhMbDoehjQF/bwc4xklZwhSa5jiHNiRLm8yXdnzWD0oM21kL3/KhvKPDttci0lnlJrO5Td36iDVAzRiPyRPyJXLyXHg/izfYxtDBBPJ4b/t2Jf0Y+8idQKW9hh4ymwbnbMpQcjhc2HgcLUxqp945czvsOPGu8Il4raDKoc+xDcJM7XAJ78VwXkWlioJwBP44BjsMcE6s3xsGvle7xetYTLQiPu0O7OAO/Uy/i5/gA/WDynQ7AynS/lNw5UjNREsfSjmDyrH/4IvowK30kK9wmICtM+jCg4VT4zZ0VqAHil1xPOPHFOtj4nEfMcpH5S/wkPpL+Ec8pDCw3SZnaq8X38beQDIgKB7QDZ7VIxg4lhfr4Hu32w18QbsTu337TuAvyiR2ctIJfIRlQe2cTic6COEKEnwPzXn0fjxaGlvKwU7ivlw4Usc80Fdt41Nbjmx1C0LgjZDb05b0URjToQ4sNDwO15U59Wmvj3wNY9BDnkgurOS1ZTZyGRxleBJ+CyfqwRouPsXRmG3IsfWQwbQQ5BMc9+OBAU+25Zx80fF8acPhxH1r6A7kMw9+QOItOY67M/dc37OlDknAc1Ku1Wbvw5WsMev05LivWhN3eJ7Fk0jqZsOB22nPQZTMbBy2C53uYWT1hvBPOKSCz97ZINCYfmBLTr558ISUFXO/TI0v9MCl9UfwV+x73EdO3Bmb8owp/Dg5SOAX1jsdMjttw0/0iVqAvx7bs9A0yhPgiJcYb9p+josLcNHYjhID+pbcVzLyH/MMbgc4+ed8Jv5Srff2/5xC97Bep6+4zWuFEBDPmcvjquBEjKVAK0TL5vbHb/3/7Iu+6JWWJQvL0tRe/ILrNllCXJhUA304GluruWnPffCaa7ef+7mfbbs7V+2h9z6kPkpSOzy6ZR++dWKveMUrwt4rKIgMwoEVtJzAeYMcYbHKPDZLMptnijNE3nq9YScnMETuOA4OwsdLGw7g3i5nrMQdqv2NRwlXm3HIVm4oU5JS5SmwjYQT/i8wIgMWBp5OtGXhiba009POiobUlxoCtCe4gbYSoAIM4yP8Dw4OQ018JNbpSOg6LSx15z5/wwjw7YSaHdw5CHVJsLkSuIKS2s7Olp9scRhhMC0XoX9DPhzL9Z4M0AULoIQR6fBEccWGENvcYAWtwQL+nEqhc8jP4wpgErYqfNI0K6X4CKTekVjPB72Fld0vhTSzbj8KF3hAEy7+bFQTBygTGkOaeqijVk5d8Y5NhlfbXU7GiDdIx/eLJ6DmFjJOoAh/2pnawicW2iPBVqqk4UJnVnCJOx3jR6cHPsis7NYuVDm1Gd8wlGPxhtI4yCmepo2JzSYzw2fJmRh/GD9pQx3A1HZXFKaxT+ANHv0O4yNsMVIZGHc43eVsoXqnY/lmKXdm9TJbDsJUtMM/JI5X0dOVXm8LtDfHtV7bdJJQhnbg5+TfsWz56bixY+CTRpAjKC7koR1sV6GIwSOCYa7ky5qlehnjfjotXLBNQzR2xV/edktMuid4SEblFidHJVga1H745ZyVilNDI03OwkMwnJ8KMo9TwV5fYJZOp+2+isUy2jqL/YFfTa4cCROzszMWB+SR/Hrs0cdW7ScdXxxvx0oZDfRizIRDJSgKqhcYZrV62R2o6XDSGUr4QrFND81Iy9tMz2OVc7uo86hbI0Ifefkwtk9OwB+6wUCZO7WXyvJ3gsa80wk4uVAA153knW7UozHj/JTFOhP74Ps/4DgJBnKS9ojupaTi1vyDO0fOl153Bl26arPTX7sHHGBQn6d+MOP0BFnKOxTpRFuXrmSi7GV+qMa39pERYYyyVRnnNvI0Gsg48RLt4bQauMmHiQXg1BcOKISMafh3kYbxyZZbsvQDPZn3LxIitTRLbTRhboj8GRdkog84x0U8PIAyC3+cnIpXSEOmdTtdH4X8psyly/t+gIFfLHjwGXQ5z8m1EDvKNTjeO29kttHctOPTU4EI/9Nc/SE7E9tstUK/S75Gv0PRRacz5bah9gCGw0gs7ePYU95z1dyzH5Jt96w6VZSLpLxiGMsnqCyxX/n137a3v+1tZsuZOyG/932P+ImkHd/2iHbF1L7sla+0/+c//J56bJHZb/7279rL/9pfcQakYdU0sx/5gf/Ofvv33u5W2yyb2S//+u/aV/31v26f9oLnOMP5eJW8y5GJ38QJbklgsi0lcvoETyYULENM6nRgxH/Qx/IQmZWJs7eaeMkjy0qkgNqMkqJHiOQCCNZl5bG0Tq8ni0ZcufpglRAjFyd6nH4BEjVER9mIW/Q1IEvMi+JSfKh71R7LbHsLZY6VIxaGzE9CcdIjrrQo6/v6PvGCT2Ynx213MlQdqU2xrsx1YinWhcN4xAv4DFiO9TI8ecCBU3l6oK/Z4RHKnWjE7wy/nMg3YeDOZ1JKEAo8/SErQfIxySc2X07cJwMrHFXh6xJpIdg42aN0gYeUBqdJgE9ejtTil6JHFhRtKSDoI/5qQ5wUOO4seEwy2jKbY9EI/Yggw/9tgUd1aCOTge+4rvhJykesg/rRpxyE60zUjRjl4Tv8pUlPTq8BYz8qr7yeExpesJyoDuguqwFwcYYNELyecqXmMjPiw6kor9XxhS4IfrWHPIRqwLEUWP47W9oG2wlet68GbKtZt26vYxyBjs/mZvQTUst8ywoaFsbt9jY8SQnBps+oI+LG6UrnA6cJR9LH1mq1xOs++We+9Rfr5HM2n1sFfzNvld5EC1LMV5yM4FlOWvHEetl+i8pnTIfnyBt/v/jFL159p9z99z/gVg/BSLw8/iHxIZ1tvAgjwnnwQa6N0lgB55d9/ufFIv555SoLDuqNhJMzesSVMsSxi7+h12g4sZ3dQCcsHOOxPfjgVbfAib9wdEdZhd9VHacx9SgBPIEZ4fLOfSbVYU5eFkxYIylBPuQIW4gr2WPmp+Oi9SpU4M7bDACByuwzP+svnatru+BMT0WcnHvhCx50uRFhsJ1bxI2Fz/4l6C386eMHn3d1NZ7UzszHnfogsU4XJTefm4DNyUme2Pbcsp0GX526rF++NZlaa7NuIyyJrhypHzebjA/qApfULl3acd9aMkEjRlVzo+ZbWKonsZ1deJ2ahf9WSwcB1EdKu34fRoX82dtlG1jyDjodHx3a5Uvyw4X9CZGwf0l+v5Hvyvgi+CP6nxwf2YPPeWBFJ3wNkYvajcBCtrRO50y0FhrOTzkWqTvFi260XzKzgr/rBf7Jy9zbb58Up+RoshgWBkjsl9/0O/av/uW/Mvxfv+BlL7fPfulL7RWveKk7tTkP+ABBOC3sjb/2W1ZaLG1RyWxra99e+ddeJs3b6QjXJPaO9z1ijz30IesOOvail/w5e+lnf7pr6+lSVgYNgNCDBfo7A/oCSGvxr/26v2P/y4/+kPsGUQamVA2xEAwHnCfCijn0qdUBrb34IKT8CPTq3fkaztVINT4y8vqicHK4F4teqIwx6CUvwCBbhAMN+B5/e/1eUG1FMdFExOChwvjnUEKNskjkWOaIiPahGWEVr8FezCOB6wIC8Bce9UUBR/d9Ax/qFRHcqTU2eAVD/JZjp7yCp5VY5EuqpNec5AGy0FBKKLnCTI6mEijQzleMhfapVOQXSmtFr/qKlEJYiE9FW73L+yNWKQz0i+96yIclizaFkuojVqSZVvQx78VP1REnQoSisI755F2mSU5pDIhYUcDHKw34rJLUn07RuABwAPQECgerdg5/R4Ec+VEnWv3iSHl3rfjyImbgCv7xgacUByzvE+fbcwUpE8d1sV0RSg5Pk0sRVk7zmPtun0/st9g2jTP6ny0w/GoiH+ZwVP9FGMXf+h4nviK+bD0tDKX2iXnE69Qj/os1Rv6Mv/mMBCvCVtvjIuU8DJWNOPLJgxLJNuz5sR4YREWkKODk7SEheIe1RX5VAWqQN4Ip0JG3ApBzH4Lf6XbMFamV3Mv7new5fQIvBwuKyxNvao7nk/VRsdpIj9j24jh2Zc/HJ4znlYd+F+2JT8UBBR7Jnwt9knBqUX6ryBDFwsEeI6kmoGoToTH8NOqFNhRxzftXNebvYn/nbde7/DfkZMGg05B5eq6IAQOaBjmRA/dveQ18i+WLvJzz6YWi9+znJ4XCVGQopjC2cX23wkeAHF9z0VmgTeAxhCNH20tsnxVe8zUyqR+sxmSOGA4rnuL7C8VWP+k2RjW67ld+1avtn/34j9jz/QJgdShxgIiropozN1u6JcclNIwhZo6DWYPRoa7qiEztMNCkA7OoDCym/Xe1RRMXRhM0eDEf2zuc5KL1OVNhoeEkmwaBmNlXtytFAl+ioZy4A+XYLvBo5mGlGroAQvrJLiZ+YtFw9NiVu5RTczOLjsU0G/USa0SEI/Oetgm8dW4NAS0Gg3qMIHocffVh7qQtDhqdlIrt8y5x/HDCV334nOBv5TFioEuASzC/1hYO88TYon+I14MjqPqVfXm3EmJICHyB34Mf2Q7KIj4Oip2lvkRwnRz37NKl4KzvZv2htbY5GSi8iT9TY9JbbanpKLtOb2G1IcAhNOL0jnyrVvj71gfWmdT1j5KI6nyB+dxPha6sZupelEnNPqnTwVe7NHHJ6ndghIho+OlBLCeYuRGqwoN+wKpf81NLErT481TJ787movhinlipImsd6QdHA7t0uRk26jjJmFm1CksiFBMPnwA0VqLO90uCTS6sVg+KmitgZIUrJOLjYT7opuPKqbYAmAtQPH1LAMEvRZ1JmlN0mOt10ku4xv5XN+uoeLWuk1Kh6206mQUHf+cGG46mthEc2ek26qLvsdTGh51KvVOd1A1vwIWSY7IIgQ+ny+Bp+oA24m/TqG+4jGhgFQg8zPYPp654gIflmnGLlcwtKlh2OJLusdD6HruIccjWBeEGsHp5XCfCE2y1PLQB+HiMnb1dz8OW7NHxiV27dsnrVXiEcghXoEMB4A8uxL6hvNqkwKUe0kAiQE649bLHeuKEI/HJOMxC+SWnFUM7sC5gNYa6rqxVkb5YGrjjk61x861q2o0siQqXh+9IzEOP7Ozm8ms4IMZVw2kEf+M3RN3EYcL/aTafegwoQhPwDnjE1vLDCPgITpd2dta1Sq1iuzubNh7PffwhwzlgopAQOtWLdVHyS3Lz5KRtV69ecrlWqaYefgHLGw+yazKdeDvpNwJjcnAE2cLpMuqBFt3OyBobZd/WgyrEXKpW5NrBooZhPhoS1mHHA5hyKLfTn9jOdt24whRlBD9BcIVGzGM46Q/6Mw85s5gTi2+h0CTbdZuOCQ45s+li6nEM6QfivKE0Yznc2m56nLyT067VqmXb2Wl5Wxh7lCNg6tbmpuOClQt+RpYScgTFC1+p7V1knrZ7fcpLMFxseYiIWq1hKKfQiX5gO7M/GPhhEHiELT7GNHwMr3M6OUmJddZ1Fw3iwJWrqR2fjOwyh57Co3kw/rq3nxf1i3taOwNMQkbCkMoRtoifCkfHMRGvpr6IWlQoNKZdl06WVsnw29cwjzmLhGXNWvZJP6+TfLH+WKb4yTuJUqWWq3V3Pjs9O7N+f+wBIc/aA99yIvgdAjBur521OzaezO3WrTu+Uka7J9AcQhpFBidVYp4wSB97/I5HcD096fiEPhzMPSjcZEzekcdLOT3BKTqzbmdsnbOhHR60bTpNfO+/2x16RGTyOg7tvjstHh/hlMeAGnogMfwTYOp2R4E2mfSIHMxKnqB6CFgUClYEBFMk/9lpR5F6F0vf975968jTEdQHd47t1s1DReJdZo4zOPa6E3e2ZGChsDBBx4i8OHcjXG7eJOSBhG2nTUDPmR2fdLytBEXr90b2oQ/ecodYAkmOJwu7ebNtp6cD6w6mdnTYsZs3Tqzbm1ivM7az9sh9Uh557NhGw5kdHHY8yuzBQcfanaERXJHAdd1B3/2yaPfhMTG3lvbYjcdcyFM/fgTQkZ2Vg8MTI0DmeMLe+tx9QNrtvo1cEGmVhGPq6dnYzk4nNhnhHDryAJ6dzty3Udm+I6DnfEaMm5GHRzg667svT3+EGp7ZeDqzfpdoxtAQh/rMTo97Lszu3JTTOmUJAPj47bZlC7aUZkZkXOLXDIdyriYWFFbXW7flNxMnPQQ2EbNRgihHG0/PRn7epUtU4ITIxYpTw7YIjv2MptmUeExMohO6yoUpjspEBiZSMMEGcUzH8RzciBWG4oVCRyRkJhL6HnP+Yj637mBm3f7YceTYdn809jZAI6wq+HTg5Hp41HblnGi/lEWggwCTLuPt8Gzo6by/dfvICJza7vR9Q2Hs/mYlHyeszuFHAlhSd9z6Y1FAn44IaezWDm2xe5QSIkiPpnZ21rbRkCjU1DsNjtlsyavPXHHzyNzaapZyBS3mK18LJBWxeNiKYGGD8kC0afyRkE1MgLxi4olwmQiBwfiKdTCBRbnCKVaCRRKgExnCpI5yhqLDdhPwsN6Uy1Uf2ygUTDwoSCjrKBbEjgI+4x35wzvKOA6Ol6IsoxwSrFK4mfMseNMnkotSqtjhhabEsSKFcihYHr3bfWimPsGiNM49QCgLteivIyXROyL8N5tFXzAkOhHuURYIG1FynmLhxBil7UP6NURcZ+HD9hltc2VtQfytocHjtA95ttFsulMxcog85Ic/4lg5Ojxy+tNmZDX1wscEYYR20+nYlbToKD4ej5w+5AcfaIrfl2St+A8lsu2x8RIF+h2P3Ym/3e17DC8UcPLj0J2UdDqPNjAuKItixNY28eJcEZ+xlYoyurBlVrKO+1ziqzT1Ph4RKT1DmSp530K/bqcvnh6N/OBFu9PzLUPocOXKri9kUKJYcBJvj7mIhSOxscCFAMYsyqEjW7DwMH1JnK5HH7nhC0DNt4oZBo+wEMOPlsUhi0HwozyzKnHEvE+XmbeJ7Tfe4UdYrlV8UUCwYpzm4Af+fTI8T6uFyRWSC9aeYlpR4SGdRzqP20jPa0f+Lh/GRUVHMKUcseqIsASvmPN8lxTzYQt59Td8m/3oD/9TD/7Gqvmk3fNj3hzNd+yY6E7O/GLf2L3ENZKvhM+DNhgOrFFXcDaYnzqOT9q+Z54scfrFmXboMYAU9wb8OF00ss2WjnHCgChMV66y7wz7pR54bHOzYeUK5jlZCW48fmcVWgAJ12kHU7Qo6f8rcJgsJeCMb1GLI7Rs12RLO7hzZtfuYy9b6min0/MJ5JLvb4t2p2c9i0d1AXr7zpFtb7fcPwXcCTLJoNvelqWHyYOTTlseywT1eOkCZXOr5bGOhL2C6Gk/Xn5DN24c2XPxJfDtpMSD0O3tb3sZP501X9pJe2BX91uywpjZ448f2APPuerYM9URWTZZLt2HAlwJ5d/w0AMayFATP6JKBasAkck5vcNko+jslJktM49ivtVqeL+7UtGb285uxSdt7JEcfGy16F9oxCSsSXBru2bLpGSlbGEoTJv1CrLNHS8RSiViS0GS4JzNyquUxuPxBOJbuKVI/EUgQVlAyphX/Ums05vbdoulBPVzGmdkHD6ouwUps+GYyNPFQHacvll6cE6foLAQLjKrBotlhIvQihY0xsPxUduIa0N/8QZncujGgQPaTOwsnirbQJbi0eSr7YYfc2YM61SZOwljvcBXYjyxZYLAxBLs5krjOg1ZzMQZnAKseTyFvM0oGYr1oy0cJrcYMgncur2xbYfxE3kSWhM3y7cMCFw6xFKjE1vgjeJYIz5NEBHII7c24pwfTioyCTBRR1nBxClLqApRlokBSwz18qcyCndB3fCIHxjwilCsMh8vWJQYgyrDkW1ZcYpyUX3D/8CGHoEmvpuUb3kBmnpza5nyASuIVi/rFjRw9ddY2PBrgkaSvSitjAX1OJlY9AQrrXMCFsypVcqKlxZhMxkSY02VYfmR1S3x8A+00Wso4C9FiYMgqkW8TH0oGIILfuK5KJ9EB2CpFJ+iF+3EejcK8ZHyGlHsgp+6w2WhV/Yj/04EV2YUDibSWKcWFcoCpUiWesWlU73wA8oUvOG4cYVJD8thDCGDf+XINkMMK/CET7FyNhvyIwNvFn+NDZSoUDcHkOY4lgs3eGcyW4Sxq7ayKIphJygHLm6BdhCYamXlY0SCG7xBH8oBW/UQIZ3wHfziQYY3fCwAT+OaU4C+m+IhOEp2cnxi+5ewYOqhXhQyovWrOxiHXbdAib/kcI9FChzIzzY/iiqBg2MfdntD29rk8A5woyUyYhZruzefT6vCFJsIoXg0eNXp6mQRJb6P+TUARODVd16GLZSY7/ynjlYi6JQ1r/N8vvxXxIFPUHzV136j/fiP/7A998HrzoBcOcEmTXyEP2jQqbE9EnjnBzJtlFPqCn/A+F0sMI2mHGcimNpjVGhaEhORGUYHLyqSNwlmem03OjE9qw+UINxpR4zBw/D0mToi76zISpiTF8KWVQ0njgDkpnXfQqMAwk4CSONYg9AxxHE7yFtwiROC8jPxUy5WWoDjc2OmU2IesgBcoSUwOC+ZudO9/FeoSTfUpwBjH39Z9i032sVpElajolXYEvWtAAK/KaaMoDrRfSaA6k4TFzCpX5kDlup78NSEwfYi/UO6z4F8xwfB/THACty08lO8GrVXfZnTXIfoBYdtNu87CC8Z5jQCR7YR8VFAyEEL4o1BGJ9Ig2+TixllXgmeVR+547V4xHcq6ZwQTkKCj4IcG69oe9P7hu1ATkSF+ryMlBfvXKc+IQSIWqz4SaILHQ9fcq1Pya3FTmEENIJuQTR2UgLdxUr66SzhjXC+dB+wVZugocp5W2k3JDk3lhlTMIzZIiMIKIUh5nkHa6/SeRChTx7l00IqED/i4nwEP2nxEBdbrg8+GgAAIABJREFUGrP0h9qh314opMWxL1nGGwVKDFuTTspIN9UJrCJcZ2tvg9oVFSeNH+r9SI8TzjNE3IRrPtlEeDnx41iMbRLvqz5oJbnpixW+hzbw29/5GGBLiHGrkYR8yfGNOInuPh6A4eysMQTzQiftMcS+KLYVGKJtbL3aRS+69FnJpbyvkAUaPy7vQp86XZxXgxxzpwtkBnXwR/2qTzhi4YIGSoMAzm9BRoiOkhMxj/qctHzOifRQ12peibLD6QXtXKZDHPgl54+l+yux+KAfwZtWa2yLf7T49HQUTcdXcos20OdcSQXRGV+cyBbV+E4+ySPmjOUidaVM9EWu6ZCF6iFfzhM+D4FHtGM4L8c8UQ7HHvOKfJxQt+oVzZEoJdru7hM53t5XvrAQjEjPAsR79jWMgntWn1cE0f1f2JKDeZyBnJYQD0LC6CF6r2gcBIoGWexIsjLZFGbhvA5O+DDVskpzpUMMQQZ1wkdud2RuhMICBvNozxpUMCVTcQ5HdWkg0YZYl5ghr0nv4m+nBfjTkCAbYqcoOQgdH8CrUv7F3/vkRV0MHQRWoF+AyYdopTbrt6rLcRdc1DRXQKLq4INSE4MUL2DrcZhuAWCwCXfHwZUcFDjq1eqZEsIBPPkVcFylS0PzgRBpEI4Wh9o4hO+xlyS4JR7dt8eBl3xChme8V1xQAEjCxLGmv3xCJY8qQQxIjRb+KCY0iZWXcFc+tV1pLmQ8DyfLgrBljAe8NVUwyUqg+Gk8cXs46YKwY4WX2pLo3ihaLgBRUjAO5gLTQYKaB8AVzdjuCli5EuX85vSET4IA9klM9HeRCnld8VxxVhBY/AZ5VnMaJ3EconAIjGjtSDitKQEOZUtdAMNXEupAS7GGIVzdagINhJNHPffAl2DvPRKUu4BCgb/pJm9lpKkvQCjjrVG7XammT8gkmEGq+N1pqkOKFnmIlRWfyIv6rePxgPGI4iQ6qdW/UsoCIpFv6CdMMfCPO1tqjAhuHGcqQ5qnh8kZ8PiGOA3DO8/jdJK8EwIRW7Uh0p+8cdzGT6EsmqqU6C7ah/EZaVSQB46XF85xVfmA8yosQuAb+BAnMy8T4WqilLIDbrpIF3xz/IAfaeidGyZzFIIgJwP68I6PN+cpVZWXFZyIt3+GcvR95F3q9THl8iXyPLAW2lZ0/qRuySUsgDHiNXV5/YFHvak+EMJYodcLpFZ/ED5CMZWYi7izkPS5x13LeRALX44720/4WfHea/FulxwHMWaXpVvQ1H42yaXgaG6hjQrWTBkKA4fvqiNX/sSq9IeUHmQMcsznWG9PqstzhYj3Df52LJrEizILiNcFH1hxq9br54oZP/ks4sQ512OOBXkEgtwzB+bKlYatS+8oD5HgrgC+7c32H7TODN+1WMf5sRH54959Frnp3tXqgycOoLtVK2aAM33QOYeKxPyODOtaLp3hCldxgBZgFpiRVIcXXhe/F0qc+4pgA10+Obrv8jEIH3wI8D/xB0Zdav82JDizsRVVrAfTJw9MHQdPjNWicvh86Giy8qHsMSAVDE2DJzH8m8Q8opWYOQhrZ0f8qQgOmXdxrDvWQ/34HRSfeCw6pvk1IYG9qRsTeIwJ47sFRiyseIyYdpnvf68Glzv3secdg7ipHzHn5syPqbbjAiCmMSERgiH2NfVyGSs4+GA07iXqhlvO1fcMQ0zAWoGontu38JVSVQxG7tXDfyk+EnSBdzAJ+y3amlxjv0kwAE9bJ7zl1m+RVpNmty3fL+BSzzBcQBpJh8/MYByPnMsC2esxQQo5JmZ8cfxUOpMFpnb6GOWPSdIR5hqNGAiUgnLq9JcIyzB5d1f9oW0N+RJJUaMNbONFe5ormViS3GIZlXynsneFJq9I37lvGXunYMb3UAmiC+ixpVhc1SL32O7gEa+nT+AV5wMfX/Dp0v2l8KVwC5V3PtZNBxH+051i7hfEqHTCyDHZh2WoizZDW94j9+8cwSvQDjA6ObjwCUGnxqBhv48dzAnpV1CwpYjzb+wjytEOYMIbfDJe4tgDsn5LmeA9MgJeplz8i+NHDUp1kTfVOnKJX0idj0PKmeF0HB/gMJb5jA9f83homtzjOOAd39kG904NyiltwHdGlgxxmBTBCBUFGF8kjQfQY/uUbUlN0iAtmjC5i1BhLIV+EI55mkPOUuucKdYZfc6Dj6DGG7SicNkGzsdyoicPW01F/EnDbys+lONSbJWX+gydHK7jKb+xGAoi9ltRHlAWxRmfyvjwW+1VCnn4Q1YAm++EAPErZPxdLnMjDPJFmehzirfEl9yeBTqhjOL747R0uuADqP5XJq454a3aRo9RDkdw0Y5+EpzA6D6m1F8Rd4jLQRD5t/r44NBKuAh6xVG+PY5cF18wT8DL1KM2My4lx2Ib8VOazqY+3igHzRjLEQaw8XuU/KaUYHh5EPG4ZzO/cw/hKsVVCjg0DoM9VuflCz/uydcn9uw9qNaJ7sIuDiQRq1i1rzQKk33xHd+BkXKPm6sy6tRiHnUsRA8CsfjyY/nuoIUflx56AMBQ3p3yfOWq487UifNj8SkKNdLxW+IRfhfx5nfqpxAEgwGJJk+0XVbuPJTnFAPbKOHhTiWfrEhhciWnLlDNB07MzGcc6PiZ5IKBNwxqCVp+MTnRnjho5Xjrp1i8DWqL7Ek5fAIERkUMTJiMcTgu0oL2S1gKZ2RycWL07SAXRmo1fllDDyYHz1CvlD0HE6pGgfOoxKtVuC6zFQ0kZPCt8FVgoB44SQCyreaNWk2AEd988tKYxel6NokTBJVDx6jkiv44cK+2lQKvCx4rbNHN5oH/XSdnRYWTI+DUZmiEEFKiWpErOi5BjO6LkxcnTHhKbEcGsvFJpF+uKyMf9NKprmjWVUZ8VfJCWlGi67igAiUmiDlbU3zH+pLZdKUAigblEpH5eaQg+ATidJYC4W+CUhcnytlEq3G1Tv4wOHOjEEX6O10cLjiqHW4tXCnP3gX+Lv7np+w83pWX8JN6fkLRSc+kMvc1NjT2hZc7DkMB+EHCnoth8SHzJgR6rpSHoDwxacQxTcY4ruFRaKULjJUOJuL7iKWn6F44VxrVf2wBul+XZ5MlJLJMLJn7IoUUrD/L82OMQJaRhnzqChBo6Iwu6EEexXx6F2uR83ZRicoXD+QRvoyPqHCTWmxj8bugipCcNBOzaCz4b88QxobTUv3tfcA7rdCcTyO+F+GXiSO1giNZQV7UDKy5aYmThRqranqWX4UUxqn7lgZFjj6l/bE+tYFFrZRIT/dYZ/EKpjCmsVkRl6nw6NSd5BCNlwIFtirDsM9lLwVLeTwyNcpPxyHfJeNFy5UbRlj0aBEY607diT2wr7eD77VwmbXTBvcCJwZWZUaA2bKc2uqygnBNVQwyGWnB4QF4PMpg6MvcIGs28vS8Yk9fcUH8qgCcuOI/ZAQHDxIrp/IbJD8LMESr+N8xKwz22KoCkf+Mv35S+DD9GbfxTwfeJ4ilLZPE/vbf/lb7sR/5Id0Xxx1KKCrDkTu+MQxgYlZschCM1QZOX81gMV2CJTJsceDLETk6+ok/dOt2dBTFskBQPfyLxDRYsuTop9/A5cQGAeHiQ+A0OSpKALB6JE13WynXdDrx0x5YSYCE4yunMyRINXlzYgenbh4GDKux4j1iTKZYQsDHBxfHomdzv+Qy4nK3Tyjl1tu7jAMmNZRHfSIMEkO/QInV5CvrCPUVackN2vFuLt6twgxQzOOG4DTK0W+UXs2N88XSKu7wHAQZjfSHT/U0K78qAhGEHQ4CMgDF0sBx89Wt9qCLgsUEI4EpgRfhykpIadJdAfItCX7pHdUjmNA3yJc/OQx/4SgieYOi5VI45omloBGKQRSqMT3/jCUcJxdcUiSSlHvkQjsoj49VKJYLT0or9W5pojLtib4r5AcXPuEdaAnoQF+HX4RZ7OM8PcdeVBaNSYUWgg+2mmBiOdVJLvUs+WL+HGLkKefnVTJlI96CENu9ynLui+A6XvCa8xVtyS17yn6XNEc34nwOqP/I+f7J84i+ZL/I11EWBZ4J4Itt5nu0DDwRXwo8sd5i+QCy8AF/oHRAP56LNA+/z4HNfwgffj/Zo3dPxJV61c4ijPidT1lOIldfxCuvL5bJUy5+02KMfOef2A7SJT/IElOdL1wQauHipfOBdB5U+OXlz5FDbRRU0TjikfNwpBF9G8HyRbIKJUW7OPJZK/J2hAX8vCwwQptcXkW4xX4mj2ga6RdheRPDFS+RLySnHFggEMtz6oh8E/G+N59PT633pm2fmFq8bxTDB8sEJz2c/4kSzQ3U4ZSDx4xJFivFASbQOEH45agoXQIrpkaGie+IfqwBoLJYW+oNYqVIsME5MRq1xhEXiXLMVKv1OCA4NSf/EuAkQVmi1rx+wvV7SjC1EhPD8WAocz1JwMXr9nKZgr6FCZEFApewFh8MHeATBSyTdz1crimuJzcDk9mfAbcarfLhEUIOMtIEwSe8sZ5AiCcqS8DjVf6pi0wjfAbfpse7kXUI2OUKfl9sNVFQdMkj2MZJzVEJqz/8nFKr6iibr6wpV67ELQXljbGHUHfctBysOzhx4ysm4RDrxOdJ7XNzvDtGi2m4Cki0AhdO0wlH2qTSlBP9VFfiNBS9ln6VkDCieQiq6OcVyHiOTxFFqpd6+MsfOeEnBJV0PkRmYZIXPnzi7BvLK1PgX88vUeNdF8o4bK8ibwPlOJUl/PPa42+VD7xDk5xusf0FXCKOTpvUrzhhLFCdtlLy9juuYO5+gMAil+qg72jbEx/Sg/XHJzfhoryhzx2/HKfYBleZA88DOo6TWM/xEZYh4MV6daiA3/4X+DTiRBor9fie9IvfSSP0gNJjSX2Spgf+EC1jDuez1Xvqv1gm4pm3kxzApKyPPaePLDIRL8ERbWP9eifyszjyrf5z/ag6gH9eqcnbm8MP46mwgKJO8Om0dYNAtJwV2xTbG3HSxBzpE9sKBrRN/M/3Ip8Az8d86KccFm2LZcgTaBmoTj63ILusYFGycBp4ec+c85VonMNwOgtc6GO1X7yc46328TsqVJIroaiI75YqKTvOs27xFrKxLcCJfzENGKstUNrkPH6en8gb6ab3seawvbeS82Ae6c5n4B+3akqWxJL38vPpq/letvLjrGvVoUGOcEcQx5eDrPNtA46g6mE06pQIv8VMfGNypMMlgAVz6VsafEeWDINPDYxEmvbMxeTySwGK4Hh5zKbs3rgA1cDluK+fgCho/AgGWREkvHA6jLhGu0C8BBe4/HGEO74DvvtguJOrGB9zdjte5eJbFxyXJZaTzB9qJWbg6J8jGrClCOQ4gFdyOSgSvZ7uMvK4Wq5HgU+k40LXJkBGt2gIF/we1BeqVdePxDIu0tynSXDkRHjzxm35BWG58TgzTCJ5QEMAyn+B96oH650EpKjnV9W0B96lypNZty2HTuEjunl/Oi+AE9bHqfc3UBCo+GUJriwM1OtO+6utBwgQhYZYKG4nIvDUav6H+nzKYiPa6zfWIO61c18iYGWpxxJbakMq8Cnp8Ah9JH7GrE9dPJHGfomniOlpxEuCZ9g+43LM8Xihy4KDwkGbsbRBRmGL03Ds17yfVo7EiMXF0rpOW7Y0JSQDGo4ZsPhNi+e+VQIF8S3jU+OH9/iCOU+7Yz6TJP5VurqFthKbB/88jTk18og87t+kscU2JVsEtI/tE/KyXcjDsXiCs3bawSGVbdnJzCbjufvjELiU/LSH2Gb4uMifC9/CvvMefAWOhGcgDILHEJoQJLXmcgajJ3FwGLd+4XCWGfegDUdDn5jAAxiSSQqaCzwoQRliEPGwZcb2qI9tH+fawtc70azTkU8LPMoD3vHRlR7RPwvaca2RHKhpIzG+aBDjO/pR4UvIgxUYlKbBVRI64GRNvLHFvOS09Rg9xDYLfmd+RRD+PL5lDRQf+Cu3A9qI/oD7gwc/9Hqn7lt5+9ax052gkcgu/PVEE2g5s5s3DuRHY1ibiY/GtUy6ID1uN/IZ2wEMfICODhVnT/5OmfW4AsvZhiC9xK3DT5NLoTM7O+v5OCYEC5wf/SSnE+KlLX0McMEyfUpMPlw7ZouFhwcgfhlDE9/Y4XBm7S6XByvOGXTvD2bWG4zdRUN+ejhFy20CPOEFxYBSvdRNWzRu5EAN3ypmn/lFz6cnXfka+bY0gS/ndufgyO8Q1NwlWSg5iK8c/nMo4PCX5hbF8Bt5vDXoLWWUuGPiA+cHQpx0OmELmpADQ6+33e7Y1OPJER9sYeCD/y20p/6j426Qg5qjnPBP03950JGnCYFP5mpXmrPPWYohATPQmcNR30oc0Uy4bJZIswuPQsudaDu7W8YFmhuNpgu0zdaGCwkYo7W55cHEsBAh0FgZctlrrVG3s9OuW6wI6tbarPmeOwzE/U4E0rt2bd8ITjie4jCd2rXre0aQMiYKJqvmJpacqg+C5kbDBwVXAJycEcm14hF6iRHDAOKkzt7uvvW6Pd/PPjo6ttZWyxWMa9eu2NHhiUcwJ34Q8Kulqh2enZqxLbZY2KhasU6vr+itvZFHNMbB+srVS9Y+7dtiOfdo4P3ByO8BZBAT8fX05NTbgzL3nAevK5gacVxqdafrMpvbcEzMnG07Pjyxa/ft2+07p9Zo1Fwxu3LlkiuKBD5Dwbh8ec+Wi5l/xykUfK9e2/RJ6Mq1y3bj1oFdv++qDfsD29rZcksDDrTED+kP2I6s24c//LA9//nPt5OzttVqdYMWD9x/3VfkCAn6KimNfJKeTadWqTbs5PTUo/iOhghbYhJ13GeBQV6qlO3kdGDbrZHVGxsu6OuNhgfPvP/6FfdLypYTOzro2fNecNXrWSyJwFvziM74FxA4lP7A7wHlimCgGLUG46XtXqrZDP8hgr2hJFlmzQbbitDB7Pi0aw9c5/LMmbk/GYHfkqlt1Cre72ml4v1TrxBdd+4+HATvi1uo0+nEFQUmMLZ95/Op+79wUW66WXdBzwGI0WBpk5YmAfy1UEpqjYptbrB1mtqMo8np0qplFgglW2RT63XHdmmfSMBzG0+GVqlUPUo8fmEoU0QCb7cnVm/WbbHgwETJJ7WNDaJSL2wynbsf4cZGxeYoASkTe2qzCWOm7pN5qVyx8XBpO3tVQ4lOSon1hxPb3au4RRBenMwIGDq2y7UtnwAUxHDhSjKBOpsbFQ+qWa9vWLWMAsFWddXGQ+I9VTxYKNuG7sKIgsakN8MKt7RaXdGimYzdvwc/yhQ/PsXMcmUEC6lHK1cQRuLzcGMAW+CUIdAnEZnZ2ia+z6CPQtN06y4KO5Mlvk70A7/hQcYD44R6y+WKnZycGVZm+QChsM9smzg33FHoiyGUCWJE1T1WHJMc7+A/9G8tsGTtY8taDt8E20Qpwx8ohhxRXJ+ZnxQD/tIvmvXAhCC2lC8egRTBhYO8p52RbWxyB5q2wCZEVE9qflsD+hFyttcf2PbWjvtmefRpYoXVMN9IecMn7ey075H74XOs2ge3j3XLQK3qyglx5tKk5VHrMV60Wlt+ETNW8VZLUayRh0Tk5qHN/BHAET5BPnskcI+nlDlt3PmcbekQPwtZB0WQYSi4O9tEWyemGlYiLifmPk0CORKQs+yKNTxL8FHu92N8T0eMZazmKJFS4OnD0bhnSbLpcbwajU3rdEZWqdU8ThTx34CPkrvRxP0B62zZZdGVq9tu+efgyGDEPFNS4MsSl7tLCaefS2nZNvdqdnbas1IZGnJrhFlariv2Enc9ZiwGpEgjj2gPB5XgOxoOPC7IHY0H3j7yR98kFhHcV+pjZzwO73UYAtcVeF3uHYktxgRo7bvMI0YfCiYVLPwKMx1+ebr1hbUP00foAToewcIna++v+uqvt//ztT9h+3u7HqOi0xka3EVwRR/Fxgmxtu3tE1BSjwLqMXD0YBXB6VaB7DDwZXZ62rG9va1giSK4Yt+2Whsrp0FWuUSQ3tmpraw/R0dndvkKl2nKCtFuczVHw+RnCM7m0bQfeOCKygSmZ4uNdzwMsEG/a5tbuh2eNrjw2CDYmiwbd24f2bX7LvsvBjQCiMlp/9JesEVkRp7r9xGwTO25efPQt/92d1suSFh9sLre2WqurEyslhgUlGHCR4mBri4shZ51223b3tl2/JkoH3/0hr3oRc8N16EkHvV5e4srJGQdwTrDSmab9ni8lcQeefS2Pe+597myg6A+ODjyK0t2d6GdThZxDUqxXgSifLIkkBAWuv6GbSpW0TP3hYL+bFt5JOnOyC5fpg/d/GG9wcy2mvihIVe5eX3qXmHNJhf74iJrdnTQt8tXw9UPycKjFiO0uKaAfmV1KP8yBJMmin5v4gFMFZ+JoKAzx42YUPQYGHd7U9tqyfmVrT6CNjKx1mvyHsD6wgq97IGkKLW00YRgljXFeXJLDds8vBNt6Sd89hR7iloye/xm2+6/fyd4u0H7sV+r4bGiOHU2IKBhzYgByEYk/azAgQ3HlbFFf8nPzvegPCJxtVrz61NEJbPBcKwLRr0UQfS4YgQeVf9AY2jl28dOcU68jWxzk/Eiuty83bf7r7dExyyz0XThcb1qXBjsW0aJtXsT22lVvQyWzuF45oqix230bRaUnqlPSk7JhFN/9FEcU+H6GybKsN/iDutZaqWyrIhMmihZ7p8Pcn6psa4FYtsBBZHo2iiecsRVg7DCyFmfQsDKt0Ohg/PdigMEF6uYfHm1uYEVpNniMleh5wc8cBPDUu0WOhRWrvHI/SeZ8KpcoAqmIcq3fCeFB3V7njrKKHhgZSd+W9y8kBxRK/jfG+203ajn9cyXKMLEApMlD0tofzy2TXcJEO2wzkDH+EBiDjPEAKUxPdahno+pro7YaBR9NsFDyjayKQ8sam4dx2Hbt+nhFec3rovRg4LDYRj5qgoGp4CbTfEkdKKZKEko1zykqY+UnzSfG/xqJMFVGgtkbfszXoaTpW1wpY+HVSHWXOGIjQ/4An3ZZiMcgZM43/oTdM/sX9lmk8+mtljBi8WInNJl1cVKtrOLeq0HxQb+K0BxxTLnFSxrHdv1S3xDjYnkq7utqNvdWhdpApFYYMZL4cGDbCziCCAr65ZuGKjVWITlW7IBrXv+sVaYngLJ0fjZcviaV32jvfYn/plddUUlDDc60ZVfMajPly4sGSBa+SE8olNxnPi8WpdSkSVJgV1gmrjFwrvCe167cI9IM/gQZnHDI5bLIcl1G4goSEjHUA9CMphTo+CIUB0Hn6CpkBUmQixiQlp8HGoBR0fQX+qbyjs2QiDkDfCgm9+zRRHyxvwSMKx4HUeXP/L9CZLdhTMYaYh5o0SHQrA3YRlhQiv3NCu4C/IutMEbqEmdOtVg3kUBR16ekN+/qX7hEGOkkEd96PGcRHBNyh4LjLbRfsrKn0gQc/j6jXAI+LkgKbwPfgA5PqrTf4sBC3ii9EchSo7YHrVNNYCL3klJyRcKtNf9HVhNO9QAjys48GFyvoCvpLjTct8+dqVL/eigvVGxDeppp7O/FBYiLd8jPF4G3l2lSbEKCIeRgpDPJ1JKRZ4V+UXv8/V5xfLrgtfDiS/5SoCDlFa1S3gLJsqQVtbihXzSia0q8ojSwE1087Eam+D1gixHRIEb6oGvfWJkC5E9LfATLVfd6wpOaIO/JJ9OBDs/ktH7Tqyc5wQP0SPH1wHkWZy4qlOJRX4IeARuiLgJghrmVXtBymlhFuE4TmGEeJrLShoDvvyhHMTvEYf4KSjxf1dC4LOl/Oc0wcLL8eJm1Q+OGpGRz4FAHfERZ7si6oFiqS++5zuynQmbfDy8Iz3m01iNqWo/73hieeYDfkqpieNQEOBxYbgq4n0e8eITHirymqALl8j7KwxWEki58nT9zvHmN13AtrMwFq8K71hH/pnzTkjzcZ+/L9IkT4315yn6thoIK1/E87wjjFaLAXfHiG29COve/H56a783bfy4a1FHUZyV39K3J9SFsAXTAj4auR9NtkhtGeJmxLLwPdYprTiDGSBidFeNuci4MSPyBBj5b1/FrIQLU4EGk0+OXh+aevRZYgIq+d0/gqAVEDA5/k8ZHn5jUqYil2Os3NmDLladcWUJMWECMm5x4e6ywqBgVTYYhjYzmXEf2dBXWRIUwAeHvB4NlPPs6Hl8ZZ+Y3xFWIB8ihpOCKzxQP3TQzYWL08svs8R5QrihVnLHX/4Q6yjQKNAAOnK3FgQQDdIQIiESX5/aXwcSJYgrA1zq0QThcP1YO/nxVcPvTO8l/PJ4KUoln2AHKC5gaUcsJdhAI0X5cwEDvvQz+POaPBK4I+5wWkFRHbnA1m/CItASr2PlwxL5AkWSU4m54Ab+6SF+Z6HPHEne59jSf/hVePsdcgwd4dyqugrhA1QUq1O/gEmc5IIzDFNLQVkQLYqTLGC1mo8xXOGzOWekff9M78f4FGFB9ppoA9tnTjiftOl735JaERilM9DOm8h3hdlwPg5wdFRcdfBefkv8hjbiDbbkVrC4rue0E7pTtMNiydxcHBOr7S2HgfVC2xUO1AGXgs8HsJngU/nU5N0R/HLAG3rxmaqNgdqA0dYL74AhmcBWonBRe7h8W5aMADzWUVDMJZ9UB9/jbz6VnXdegbMMliKNi9Ai6L+Ku6Q0rBzOS2FsMjYIbSE8yYMFE96JciT0jw9kqST4k7GNHtvPJwEm3Y+RVN8iDME3A10WS9qtsSRM8n6NspMgj+qz3PeRvF514FmnwSqA6cJj01GFaMLWpJdQFU6kGLcsKMJ+d+GFfncfqSjnVRQrLtu1UBgFrc89TY4LdPFUt/QKN8akfJsi/akamYGMiw+056qXmId0diPgfcHEX2noW3XwTlQuOaVM+7ztcJXHbhIOlFP4GY1X6mUL2mPNxXGeLa19FmR4HH8RqafhM3LW01D1J3+VsZPVvZgP5dzMIEFQw5jI4JiPax/YIuG3GIZ7ceToqzT8HPQ+lnElJQSz1CTHvXA5pY2VAAAgAElEQVT9glARfJ/QwsCHcmx/uFLgAlQXhsa5yqcjnIw9OKSEHmVk0udbWHkRj8PvwVJfYAmrN+oBf616arWNvH0MksHIb9N2KD7ZLf3+Mw0c1fWhDzxqzY2mrGq2tMODM/fPifjS9pOTE6800uX27dtCwge2KH7z5i3Vzc3slar90R+8JQhu1XN4eLwqg0Bn+wnfImA6fanHL0VWNoQh/gWYjqMagr8J/RmFB3DwM+DhO3CqNYVzAH/yjUZItqrLCX7jQNlsba2EEWkzd3JFgyMvlxsPwkm8iHJip8dRcKuegwMF2Yz4Hx0dqR0UcbmU2NHJSdArRKM7t+84npG2ZOwEp2m+o+j3e3Mb9GFU8E/dlwU7kM9UAZ3xBL6UOICOcUvF6Rj6ZBUPx8ukVi6xFQ1M4TJbBCurY5jY8fGppVxJ78gjDhP301OVKscdiR4ZPCgUBCfdaGyuJmj6oNslGCltUa8dn56FrcOAvJlfLh3pxsQ1nzMG84MG3Pq+2gdL8O0qub+XY+XrB+jirQn44sdRDU7s6h8mVSYXlRH9NIk7gRxHObXnNEGxYOsFHnD+8T6B30QzWrDV0vYweHsbUGhC6AYpdPwvK2EsJ5rlMMjBViaKmPJmfm/ZKj8nsBZSEMXHglyvso2kemFu6M37aK0ZDafhjjFpqSgO+FQ5EcIENvKJNJ8MoUnOj0ov8hr1ySmYb1CT7Sk+NQ7BAbpN0V/DA7mIu8enyqrtxF2ijV7GEveXiWXoKfycNEnza2lnp2eGPyFw1AU6MEAZ+AVY/z97bx5se3bV960z3HPuPL17X7+h1a3ultRCAwSBJECxRIENAsIMrhAPlUoc7EqceEhsCAGHOPyBhRHGBpMSoVxYsgGBEKIIkwIIEWzCIGQEmrrV3e+9ftMdz53vGe45qc/3u9f5nfu6kbDL9FOq+HXfd875/fZv77XXXnvttdde+7upo5ajtazP4cgdxe2QxgYxge/7pVyIpY8Rz+k25o5p4psvfleAmeiEhg5B5ilHUMEHVjFZ6kuDD/oIhlZeJR90eGVs004cz1W8ocUYYmlTRkvx/szNziuPkoXahriibCPonpQnJGO/c6j4znyHNiWez5d5T52hjT+uTqczhqhBl8B34gndNn7TmwtKLoqjy52blFpTDBcHA1MV+jt0HR8T9J2yIavSGdyHf//MYPpkTFfHpe1gUz1axE2UWRcCKRBEBVx6RkdWEu4S+0QnQJT4SyVFB05BfU7R8rhw2CoCn50NkMCIM+3Oy3t+nILKpwM0XQ4l8l/u+kia0oDieQpx7mKAFuhilpC0ko7dIHRo9QnqXmNGvCsCbGg0dKBi1oWypmenY08KxXxbWl4wCm7hBvn7UMqKLxxQnBfP+SNgnU+u3mk3Hnjg0phuysldgTwXDxSgXR1cCQ8JKuYiH+rQ2SEAHoBF8yB3lGigkUHB1ljP2Ox+HpaZLnQwS8Xdz86nI+VJACyxM1vs5PAoQjId1SLay6Ay1SbY0yNA1ilntbyHcpmfT2wr1x/MrEyrio8ilhbmbVcXvhAYLsVinSUagIZAXj1I1+UZVVwUs+Di0dHr8kJRLwKzkctKfrUDDbOyxMpAhweqlDGCMY0c7fuWwVT28FyxCQgvJWi3WpRDTWGRBxfiJhjI8iIIn2DflH/ajJgH7R4s0VJzsxzEOa6w0nJQKPRrZ1/dcWYNHd/C5GYY/VMbc5RTG7WiewrIHkZAMUQ4q9CICeIHmeFZUWNKVtwm4kf5DY3EujAUwx/+GGizv1EWR7IQiOt8lHK8q433oZnDakVX8dAcn2Bcl4HSDSW8tMl88x29KA5AL0jMbkPK8+62SmfAByjgEr1MgE68k85ycab4HTsqkRUEgoliMexrI2GL3cGwlwHjNsiYlKTvvGEtho89Dklv6qvkr3Z9ioduWgZoNoBkO0MK9ZMXWToYmRnFSemHaeAzaI8v8N9OPSCrf0cj1tYuqD7ZXuTBJFZ1LTJJsD36wYP0KObn5gpiNbFOzh04Fr/D73ogk9AMD7L+fM+LtJP3GRkWlxbU/niD4AOGdXsaWR8qzIPPqbbbQSEd8gBSBn2bvJnY1KI3OPFP9SNwzNgRmi5Ke35U39LPoCt3RUIfz0DohheieUTfbZfdwq4BQePoPF+WoZmin3if965evSrvcC5vQ1vSTRquScw/fk8eXE2a/mkvFotBTpshs3OzC5p4WnYreTYtL+y/fxbD9En4nY1MEvZB/OW/8s3xT9/6lri4zs4Gdn4YWdeAhVjAeHr62iWT2SL02Zl5J/PM7/np9CiBunZRNRT457vIGrvaUjFxl87FYKPOVXOnIHj2fH5JhT9xf/r0dXdkZkvgZjBI5YVyrIQaJUw5qfBJxbsIrQWX8gjgXlhwADe/ecQuNufrdBghDpLMkvz5/PRm/igGLp+p1Gw0hYMFD/XHbg5HIUuvsvyhmSFUFl5jAE7yxUHH0Gq62Fk0Pe1ZkEiH1/2Bgn2r32ca6P2b9woP9OElhu2t3VhbK0H47NrCeCOgM9NCc5lBJ20aj7R1vmjhUls+Mk11K8utnpXi0XgqB+XCPZdp3nkg4h4GA7PTUvXibbI8Inc50Dv/lCvlRsW1TDcZzMsdl2u+2BiDbu6nt4r89TYejmI8JY1ZR/NBRYzbxXln+/PMNKqhKfZ5rszPnyV9aWfxBO8QBoUMX0c+M7d2dq5LygX9kO/5jHfO55sE5Hv+rfoWfmWK6tMGEvk8/+XSRGvSqQZ7/tSmteR1LpakcFg8z3ieCbkZ66GKdrch9FHP5yvPac0Dnietk3lU+g0+pN4THyeM8efm4fJ8P/P1uYr1MuFwfuRPPVy+JOuefPVkzDPnhSy6XegqePsmJ6Qu+/y/yA4XMsB3ewTxQPleeczHOCbpXGuME9xbp/EDfYH4jGlSZoWvboCqrlnnCf6qPxtGhD5exX45jXlEPnDJRj11cfuWBlbTVe2ntOJViW0ovH/+mvm9e+vn36XvnYt9df+hlrTF5MU7jqEqdJ17OLH+zn31i0m9MJn4T//7/Sv5T79u/3FL0PZJwwCQMW3O9kobS5rWSYW0AXGcaPdUGilY2pJb3N5KqDOEECD+3DGbzHAmZArhx1jCIMvLwJCVgTA/n+5Sp6A8rvyEJowll2Ohxbhgh89kOu9YyHJw83tJJfPJmJQqn4jFRXZ6uVPTGdh+PmmEYXTZWKposver6jyKK6DYLJr4ivE5d94u68MdUQBl8BKYmV+iPahPLnlmpwTOf6I5Yn5uNgYTx8GwGy77r9/JIyRUJc2wAbeEMNLBB4xVjDOW+LiPxwl4A/MAWRgKZoH2Lc0Q4PLkZdd/Yt3YWMp8qzQYq9U7KVRJo9MRf4ESdzkGmqxr55AZaZp7p2D85OA/4WUoM85iRYyZb68SJbgx7H1g6XVCXcALcdZlmD9lhlo8MI4xy1ycXnEpmiGjvI05Zh75XYx4G1vmOVQca7u6jU/eOZIHsNBWqOSoCvFGAazEYDAwcnmQ3d0/DOAFaDGVx26uEhalGEO22wsXi9Z0JsgocVuYVNmOJdOJj3xmOXQ/MW0MUOzsSqwucULAhROvFx5n32ZwY8cVt+UlyKRF9vJnbinPfgmYKjhL1Ncc97mILK8m7Syv5XfnY7khD/eBwrzkkTCcvEzl1ssBe7KuhimgzKSXJS3n6XvZbyy77vOKE8zKqBzLQ3Gf6slAXsFCqZbKzFfyY+DPazLf830Gz6a9uk7LLkB7zOBD8s5Lppkbn8heyjqTn0qWxN6CbaX3hZafGFhpaJk2zw8s16RlEuL3XQ92PjoNZVk2fRSSn7NEB8YStNJ7LUdFfsmoeDTtfeUdl+u4uYo/Pnjaz7POk+eXcs+xazYsyafXBUMsVxZKfSQkpi25Be95nz/O9WMCPhYy8M4ACS1CR1o9z5eR1DL5de15YB2eSegPyK2eQMb54jPZC/aZUvGCFfj/p4JSEKCZ78PBUNgvNDLYNAQiE6yIgOJ6pHF13lnpzCgOOgDv8g4dRrFI2q7N5GWkQOyx65+dR2fDODh0sF0KE31eSjQ7Mbv25K1Ggpw3uDZZDoqLsgHEIw8ZOSUA2mvwxjFB+AjgpGOwvs6zTuewLFP4PWKl8KSxdVjYR6fd2NzYledJQX8Rcf36LdXz5OhEgYAEeG9v7ciwwLNEEN/+AWB34EWdKg3LBVxbW1taBlSgX22kAEWOXoFuG1UouK7QeXd2WPZim7k7pg/jtZGJAgDbKQMViQdCGV175oZMGgDi6O+3b98dg86xHIkRdu3aNfER2kizuekDPPl+cnQa+3tdgazheQI4kDa9fu2WeEx5+3vH8eyN29oiDyAdoHl37uzoIFDib1jrB0vk5ARQOAfV44nsbPPdfOa+lwZYRgBs7ljlSKESN3XcVcwc29gZLGgv2iPB44h96HUpY6D4NviEsgWfC2NBekYAgoPAdjs6BsepBJoS67VRABiLUX50BNChFZqB8WpxeNCTLHDILmXf2QSsr6vlYLBYdndPYmf7KPr9nhCKuyencXzEqeyOt6NeJ8dnCrKFrq3tHRnXyN3hESB+APMdy3AB14gjgpAxn0nnTQwYT91eT6564q4wV8lXZyuyjfnoRFhWGjhHHOB8rKXQ42PAJ+1V4r2dTk9QD4wxDi4eBYcho9zxOnKfA5Z7CtQn+JayzmJ3u6eBikGWrdhb2z0tEyETx6eD2Nw4jqOTYZz0AV708Unbnb6wbQgyxxNw986BjDUARgEvvXN7VzE8GEEnp10ZWQ60drwZuEpMQugTQJkICFNLKBz6OhReDdAIOcEgT47u2dhAjjG8MSaHOlOQT/gAz9ERyCppclACN43LOgl2NCR3utc3bTs7LHsBseBYpdNjG+2jIcYFA7wP+nUftrGxi6xrjMeoGMbB3lBxfqTB6Ac3a3uDpTF0poOuT08KnfAR3aug7xJHNKrFWR/QTNObOoz25qI/AQ8Cf2yUEKTcjZ1twCRtIOIZR7cKeFN1ZmCuxckR4KMepOmTLPOik/SeQJKKzKhTnYmXxNoMZFglsCfwHug8xgfwvYARMVgqwJHoxb3OsTDNVH/1+Z6w01QB0QPAZ1fvDgcRm1s72nLPpg7ObEtw4NMT8x+Zx6iiP6BX0BHAdqDjoJ12oY8hJ9JDOnAa3XVT0B3IN3oU2kBZ5zuen7M+4wNB39ZdBNaT345CMzz+WL+WCZwOi7e8Kr5NoL3WrdvbAID6gj5o5o+8Xfap9C/36PvI6m7HvM865Pv34/PPDKZPwnU6M3+V9TsQKCEDOCjHA0D2do810PUGZ4FqOAXJFeXV78Xw7MydJY2WibIwbs4ISp2IDUGhgP1BJ+dCWJSOpQRt+XEGGBegpPIuIyFeLHBnRKusfc8UvOsivVM1BcaSlnQ6iLRm44PvAItRFkCW0IG3Bq/W4cGBgsUJrgQMkzXn3b2O0utcOt45MlDe9OyMlr/W1y8IwZZYAM6hw2t1sMcuubre5zdAfZS3vr6uIFJimFgu45PYJZ752Ja63meWRFqIo1zoQOHrGpF2RnhEgL1Rv0uXLhnugQSjUHl4YG7evBlLS8bJgoadnZ14+OGHlWh6mmDQeux19vUuNMzOATxpMDX4cXHtomKWOMQTjwvlEkf0zNPPCqgUTx/3CLBdX18Lfs8vzCsmgOaS5602UqzCDGBzAf5JS/fhC5MxvHHUcXZ2WnSwz3J2blp5zXAPb2G7HbMzMzIYqC+ewlZ7GDOzUxF1FOgoZuca0Z5pypgAxwTXPQHsyNXsLO1NO5tBLEuKUQwCssMJwDQWzdw8S7YIJyCH9Zih7NlW3L5zLXhG3AW0tKcbsbw6ZzDKmamYnp+L3rDgrIzOAu9rY5p8z2K6TTzJcswtzEV/OJDnb24euZiLra1dl0O+szOxtDTnOk8jg9OO46o1Yrptryu8mMF7qtiLqZidno6Z2TmByrIc26bMuoP7qS24QqM4jYUlvKu1mJ0GqNHHizCTBx+Itmc5CJwmMuZoIpZUGy3WgUO4VlNTtWhgYNZ90OrsdDPm56dibroRs82IdhPNUYu11XYAhJhYWQsL04o/B29H2DY1+o/5DS+x0fDs0jYzMw0t7eZGhKWlWeH9oJW4GlPUpyGDjMOXoZt+xx9B4NQPbzRyPTzzLkp0AP2bsnvF8AK4EXnII4JSH0CXY7DQIy0tTftQ2ZHyhUbzkaLwrLZE9+LSXCnDGyiWL7h9oAOGHZ9sx1Tby3Z41IdxEqvrxBY2FBeGZ2g46km3Nad8hFHu4KPMUfR1jmS9UbzyzaZ1Qjmsmj6E91ixXlp+Rke0AoBSBmf6wMLCnJb0GZwlF/KmnwlhPmOfqDM8Nd2eOPObuEU3QYkj6hncFcqWltBt/iRfeF2rn8UDl9FbTckftNH+S8tzwb4I4g67vdNYWHT/pi1ow0YTI9/xdehVQjOoP23CH7QcH3sXHG0GP7DSROO0AUmpr5wzo5HAOtuAAB/6eJi5uZl48EVXFR9GLBWYSegS9AxGM04AzutMvlEvAsa5HJPlstCl1pUYzNbHyJlXRhyrRJ2uXr2id/kHHU7fhW6+o/Mw9i6urxedOKP2B3ONPGE4uu5+Xn8Ww/RJuE/jqKEEXBnxDV//l+JtAFdeWNJMlFlfAyNgxstWSCWzGsC83LyONUqFQ1EIoZe5qoI5amR5OQOcmW0PYmF+yhHWWuNuCMZ/QUCP6g9yE7enE9yLJRcOu3UHslCNBDG/Cq1czO6YQE+YyNQtjbKkhpknHTwvPF6plMgXo4ZZ18rKkmaDDDCml0HHo+2d2yB+X7TRwWzv2MCPBph0znRiDAto4DUMl9VVx4aJ/lEtOC5lfoHBEqJrcfPZW3H1wUuujLZjd2Jllfqh0Fw8Mx2Mrmw7HxTMDjZflIdnaXKXiGm4tyNijHHPCtn9lGGqLgRo+HBx3TvjmBFjSKhP6x3vdsHgyZ1azJZm2a0CtdSZwPHDgYyaLAO6MKh4zj1mhhgQKKlcgsDzJEO11McAoOxWI1+nY3bIwKt8akN5faAFZQ2v8BgCkOnoHdcbr8QUUOLjZV9ocHs6cxvnGAC6W4u4dacTDzywpAgJ8sWTMcXgXGjDk+O+UAxb8e4k5udmysnzoB2f2gDVS7Q58XBWyMl/jt4BLd+/8VKyxOtgfhkCI3YpHZc4Oh/VwjEuMwJgFGfixq3NeOjKupY2yIc6sDOrJYOINATLjmJKByhn1b1jyoG+xIE4Xa2ACFLR45OzmJ2Br87T3BGb1WZ4D1jSNU/QJ+y080RI2ZXYsAwI5h6yRdAtAxhywpX90rIB7Wdl12tpo1rNB2XL8OWNbA9azJ2+ezKMNqzX8h737GVCdn0vW05Fln+sA61TnO/kU38vacQX91Xy9lXyRK7Gy2ikz+WfKrdaDY8VupQ6e6kPo4HuYLkjL/JNrz3v5r1Szpgd9w6ufoB80X/cX3nHcT3O13okA8sryvLbJN3n64fHJsMQ3Eb0Rd4rBEGpdNTke/d+h56sj5/1e7XwvpXMJ9/x7+Sj4xfzfcqFh2536HH7VW2Z/YY3XKS+lYqaduuzcksfqWcnaanec9+1LlK9eTRu8yqf1FPVncyPO5mf5R6PY00nakw6Lqo3X+hvf2Yw/Qk4TqPRXN/0Tf9VfP9b/1E8cPmCBiOwNwznZ8G0kJSRW4M4gurOXwltCiifvO+dPSkmCLoX96o7zxV+C1MlXFRiUuie77uXG1RdrbuXgTvXfJ7DBzoXyhVtRWAiM22Xi0Jh9uAy+ZdjGrzL6jwdztRDyQS1VO05HQmaucw/KUgN3lkXFG4BDXQPn+hcmYb3/d38vodPqgeFT/I2+ZDlT3yKAaQlHxtE1cBxT5kaEByP5HrwjjT9ubqmEsoBKhWZacqyCx/IIcWpDCIourzOv5t0Vu+O2VR9Ka+i+BgoJtIi4eNBzHXLss1LvFZVm1vynQ9tSem8JXFRxoXwUuFKSSpV4afboaqH6VFacivxIRVvso7+dBB74XNSIFqKxCl7/kFCOTbY32lPV90H7hamiNd8r9o4n3jWLmMymaJHPpQ7Y9lAdBeHVH++UWplaFke4EvJF88Hu/TMORvSyTu1fRrKvGDa6Y/wJ387M7dL9cx3JSuTgcrFaKE9udz+5t85/TQhd65u8i3LNf0M0sRIOR/owuAhLfT4Ur7IljY98D7P3J+qT9Jyjz/3IcuiaePpObZLG6fhbh2bsnuuHrWRlq7S65x5YLBaf2W5k/0UGqsr8+VOJcPVc39LvtCSPkjbMmQ+k8a7a+2tdGWeLw/u5TuVcfN8bU2Obse6PO05yc06orMlD+P8rOcsGcYYw7Ojq+ZlUSb2bkvfZikRw7JI07n+7xTJq6SZuxUvnGbyWT4njWXE9KY8+I3z/2baih+u9/lUL9SvSrJfqBL/A8tBAJ+ryD5VZtmgnyrd8z/P8siF1R/cu3ZZwzYfi0B8gS9SMcvzOjj3xu9P0C6Kkqxyn6W7vOig/XHAat6lU/ilzJOZ66TgMOOcvEiXoIwegFhfntyR4dReqydv55/uaT0dEYBHzEYKvc+EcvyR05M3a+hVR3MMiMHhyNXxVKfHrKunYppsSy8fscyZyoJzoyhyMhgTz5wPvqxoIV6Id+AZV2/gwyf5bj6BBbStZ8p7VNf5WhWAJHhWuVW2JMMjprV6BkmX5XI9wMBz1vV3Owea9fqtejiequRBbNjRiTlqNkl5OeYjB6qIg3LosuvguIsxD4i/1Zpq1heDra64BOqWcpABwhhAyQdijXTJk0BsztE5oEOWMmkv6iIZ0tlcyLHbgncVd1Hq77LqBfiUAcrSsruzPeYREwoC2zWWFyVN7Af5kNoDKYpaCIXlHrGABONRIoxynzojTqQY9Tz0du1UVfCfF3KgxuBwHJPqjD1SY/kZ/hfmR8T29l6ZvCiVZFZ8qCU9EceKd8m3kNx8P4N1gSKgPtkmobhG5+jjRbxMzHPeBSyWupcUBGDTp3TANUmYbo3iSOc14hnzNnqOlOHye34Z753z5AmHO5dAZNpRWbGUzz3Thgnr2K8JT05pT2BCPJFLOcrP7DeTnzZWVOqEsW4qzKGkUz6AIlOVbuKuJIBXyoU+oz60HZ+ELlBmTjiQMYAdfaC16205SB5ky6C/kHvXhzglxzAp3Tjcwe2HHB8dco4mZcIqckHHoRezzQyAS8wUz+iD+WcZ5h3HVZbKKB0AjXiabSAXzDOeqDmYAqchmAbzoJwpV+VCOaJIL7mfud0zI3tkzVE/5x08kqpO8dZzD+FRjbQq4Jij1Bt8skowbiPiwYizotsVYaXPuY3Ihb5Heec9o+ajKqjyecfnv4kavVe1h5JMyLB/4zl1X+aTFRjHNPE99RNtxgVtY5p154X/J7XQC1/yv0eJ2Yj//syqGtOzFzfKn7RoysuykZlRox6NgutDp+F8s9NyQCDSRtt3dkHGrhQQAj9JN4Hj/m1ayN+gbf7NYMD5QXmhvs9GNSGv+p4VMEtwY9pQOUV/Zll8+rRy6oD6rAyATMP7zgM+mVfqbPpl0djrFAPQI2EcnfR1gK3z8MBLkOTkRYCyd3twl1itmt5TmtIE2ZE8yE/wuXQM0hIUaAVpY4+gwMlrrPhKxkMFQpqWrCMglZMX5faTWcxpZZQ4hYdKI/ZSrpVdrtU7jYJlBwTnVwMrWs7YWVU+I05aLzzlLsqEP/hR9KFA6cZvSFGlYex2mawf9ZGslBPd9Z4OSO2q6YqeE78IAK8ueJcg15YrgjoJ0M32p+W1caEMqNW75/sLvEq+kmafeLfxVTC8sIkL4zCg0oDQPW08ACvICphXMYS1a1HvcCAuAe/Z7qRwgHsO8Pwm6Hzygkob9nwbymDqscMH/iPj4r/z8nsYKkPLcRmkSUPwL6l5j3glds1p3NRL5l3lmXB/oX5qm5K9DiSF6sID2nByUBCtYAwpT36N4vS4gHcW/mvyk0IiGWJ5yv3Q3iVrM7LAONSnjFjnJ4FQm5q2pOW4yAW6QDRrgPT7mQaj3pflzQMp+XrAsr7I+umQwGr3lgZV50f6zNPfMRiqZ8lH6aWxt4HnToPO6vY5hcATIstqPi+GfoFXMU1+T7GZopbf1DOBHi0HjtlyWhvlHK6b8uT8kfOcoFI+k9Ost+nLXWUqSP9YzlNvy2qHAZI96zAMr8R7gp8NBfgnj+i/TBAT+NQ5+9xBfZeutsFuvWJazZ+Suuhz9IyWsbjNmZFNn/PnVOoShS9uV+7nBDfpQWatr/wWPJmc2HO34onTYIQRa5p5UO+cgOc9jwseW7hHTBbpUh6Q/dzY6DZn0pUy+dwyXfIL9++nucGUCuCFY8i9JdGo+g+B7vZ86nQRFpSjDtFEKhkEarVoE+2p/khnqbaCki/5DIp3vyTSO4NzsPuA+5UOrXdQ4MRWZFNZWZy39nNw9yw1PQ2zc8XlWirl7fGV0CGQBNtNXhnsKdpjVGJHSGHrvlEflQBm2sYD3/yCoQmyAxFkyinp0E2dz/q9WFhwvFJaIdlBsmx3nPzlTys/z8xm52a0M3Eyhd3QVaenLr2elV/SsrJsFGUrrYgXPfiiogj83uIi8U4oOvOZT+J9NPAWdZexVpTNgEUHXtUhk7zndl676PgrqbFaTfE01D0vBvTMN2nJ2BcVox1ruMB5xwOaAl8nDDryAnfKYySuhaECQ20spdFJwCXxS6S2QUtb1OvZXqEA6XxOKt5vluBZ05vge7xjPtEPOMA3+Uq6F7+YYHkupyHwW6s+xXqDhIzX0y0CWVuTbv+aQDVR6OMZPgH6xDhNXAzalJ/XiC1DY+MO04bySx+UxBFEaz6WsThaTeSXdG5rAlstn0V5A5AnvuXvUUwDOKkZsPMSDRN0UO+sn6iDj00HOSefFLhb4BjwWVH+TLtZ/A3WAnNz9B/oswFCQD1bo1xn89YHJbut4END2H+c2l4AACAASURBVDvSTGo/NjRYdpJLDgxO2eYubZwX9FGV3HZvekfl4F2novzJ2Kp8J/NIPZNYaNRmsp1KLm4b/fBz0lTp4BzlWOarvCNWlydjD0OyYj4h625HgpYnr/EyU7k5Pt1A5zjWYmVlvuDKuS/j3ZqbgGShTtoEU+JByYZNApMBztwDjLeqQ8SFtZVx25fu4G4hT66NxXrdMYRJ79ISQLWuB/qw3Z4+14bQMj3juFTXexQLgnDhneqqYv6oEwHa1sekgLttEOD5LplBrlLHVXksS59JinUTuZ6MlaT+bDxIuSbRJK8pFz2ZcVyufMTysjfY5HvZP7LkzCOf056OCbbck8/iUsZFuX757v34/DSPYcJFaaVwP5gzLpOtobWIr/m6vxhv++c/GJcvrUlJIYUs0WVjuwPZA8S7NLmB8bLxDYBJLAVpeY8/v1dKK4pwPIBkLiV9ps0yeWvyXuabtOdvl0NaexbyvugseB50r+fmC2SnFbneYQBXv3LnmsyH7+mFKE/HyyIeZ6zo+C6vl256rf1ePkzmm894h4G/jMfmYZGQKo0lxvPJ5II/URTk4ToTx8Dsswwc8OAcb1BKVR39UqoBLyPhZlc5UorJVw9qFMP47HpUeTkezHErNqh4ljN+0+5iDUORNGb9TLvlCSXLfeg0T3EZlO9a6qjkTHmKKOhiWWsQVuDQ6+URL8nZCFZbgvCuvLNulo9sm+d+Yl+clXg2y7UHtjKwa3AwT6kH78NR0tgTkP2EGSU8yXI90DO4mx8c+kv8kFpFhiMluG3Jy3XIeimZGISsjcY7wYSxpFg88mFNiMlO0iBOi45s9eer76QsFmqKTFW8ch2pL7zO9raCoDRosvHvdzIfyyu/sqJqaQeCU8csnDwUD5Xyljlkmclrl2W+e/lH6qUYa5Yl06dS1T42uqu2qOghvfgpr2JljGXpflbRnvfz0+X5l2mq6Mtn1f1s16SPnkebZd85X0dyvbe9TA8cdyC5S3Z+k7Tm94oG5VbkNGXyfL3yHefptqXZJu9nflW5xGRSB/LiL8eCKu98H1nOmD0Mb3vmSG8dJgpVXsUH7mWZ8II+r3YcY505beps51HJbb57731+c+Xz5HO5rY+q3Vwnyrh3kpzv88L5PNQrig5AxpAt2sn6bLKcF/r7c6X8habgk5QnfVA6JcydZPAneU2PnBYm+718358oi0nF+ElyK65uxWMMzmKqbFvXGwhoWS+uyqnysu9hspyhTv2h4bMuFhTTSR5BHIOUKvnwLp4rK/qqjEzvsrJuVckMvPmMtGVrazG6Mh/nn8I62bktsMpXxhJC7+d2PZfM9VHVTwNfPV3Y5I5xZdpdX3ee8+1KJgC/nY8looN5DR3l4NocH3EcCfT6DxfwuUFDy5sYeC6HnDlMON/3+GJ6PQBU9fCAm3Xh02VWHZlcUdrMymEGihPSJ4wSfhYj6dy4S3vLU0ECK3hyzxgT83aoHWKUAh/Jx6JV6FVPxcVdnUWI29xbrS3jUlJAWuhIjzQ4BoqroyzKQaRYJkpFC595oGUjJTBPaC/zrZJVt6HlgIzGwJRmhPCyZEQW70jGgZRixdMqZo58sh+i9DHaRkKNHy8nqO+xXGgZkiGkNmbrt+WaOhM4XS1rQ6+xrDhwGgMIDrIL032J5+6Z1Fs8U4rGWN7ggO9Dkcvhnuufv00vYkJanuUfb/Gd+8ifZGL8/lgaVSr5smzvNndbO56P8qDPKpplVNHgJoxjMMP4jihiOgwjiH0yjaZ6e4czE8197neJeyQuZ1SCs1UczykDehHeqpR766MntInJVP04wiX1GaXyjmRK1GZe5h1tnHnyOXnpXfEa3jnGiHg3x1uR0vGTiKsvVXxcNvfIszqrjHyGkn0X5b4LXh19JvlNCETGfyZNyFuWQxsSm+Q8qr5Af5n0zhFHxG/ydYu4D2ffTqp55r+iE86zoRzXk/wCJyuX8bJsWpD2oqF8r9LJvkf/Tj5TLu3Bbx0lJQw/x3KZZ6Ys46CSB+C9PecqtGbeWW62Nzuf83IaB5cjn9lH4Fu+z728XK55I10kV4M52evl0qz5ku/cj8/Gd37nd37n/Sj4U5UJA8XQotT4PsngT/U+aRFy2iTfPfdpzfCpsrFcMridjeInfvLd8eVf9hc4wScatak4ODDYIG5GAOXAHHr66duxsjKn4MJmsxUbG3sxPz+tAQnMplrTCNa4z8FOqtdbyqc11RR4WC2mYm8fsDJmAw3d6/U5UPU05uam1IFOT4dxsN+Nmdm2Oj+YIcdHA50/heuUQOB6o6HDT8GhAcxNmEr7XWG6IOAEp4OZwpZ/3NYoDZaKD/ZP5BIFqA8QPYD6pmfqcbjfU8AuQJZAJ0y3TDezBsAvOQake8wa/EDgl4OzfjRiKgj27g04MbsbM9Ot2Nq4Ky2/f3AcszPTwZEiAKNFbUrYVd3T09jd2teBkp29k2C54vatLYGYQRPjB2kOD7sC5gQfCiC146PT2NnZi+7pULgmBHu3ptrxiU/cED6TwNtG9dja3h4vMwB0ybLq9vZWsDS3u9sRn7a3d7VUSewCAdMoT5YMGbx2drYDvKbdnY4wgrRufwaEw47c0QJnFJjlkZZrUF4C3TsbCmTScklMSl8yMzdnvJPjo+OoN5paUkRuO5098enkpK8lts72iZYCtzcPYnFpVqB3bK8HCBIFwzLh1uaxjLmTo7OYma3H9mY3zs5qAtZsANij+J++YCCOD0fRmq7F0f5AZ6gRewcWD3UlhgAwTuRiMKjHxt0DHR+ztbEfjQYnm/djt3Mc167txuw8bQzQHaCeHfU3locEeHrW10HFuRIEzMDBHjACyB0gp6faiMCSDnzb65zE2bAf+3s+U4v+Be9OT4/FW6AZ2MiAombYYBuzASQB2TwTxlRn51BgmqfdUUy3mrG905GHtLN/HIuLs4GNvbdPPsjqWTTbzdjaOYr2FAc3c4xOO7qnZ5azLmds9aNRrwsbjSXtg4NBTLVqcXQAyCBtCoQDSxU1wU0ApkjQOnWh/9IuCfKOAcBOpI07e+K1aBhG3L29G1NtMLWMpk49c6mPNiaWBPlmGXFr6yQOj4lBAxqiHlt3d6PbY1AHyHAgrKG9vdM4OOrH/v5xgNu0v89gDn3IUlNGO/qq14M+Y0ABmom3fG8X3nvpBVlFZkhDP4d+9Mv+3pGOf0JnsEHjzi2gPJAdGzV4ajH6OMro+BgsJU6lZ/nYKPT0YcrzwGiDmBCtbrcW7RbGO7o+orPXjbnZloLZGQ8A2eS0AhsmjA9uF5bzJBMCYjxSv6TfEA/EBg5wfDAoO3tHMn7QvdTj7h0O6m4IWJWlJOvJlkBKz87cVhgB9EcGbXQoaWibwwNooU9hnJ+Py7tzZ0PnQh4eHEkm2TQCzhK8nWoRszpQ0PXOFmDBPvJqcDYIAC0J6Wm26Q99Aaru7vRjYbEl/UxQvycGBPSfCkqmUYfHR8ofkFxMjL29A51tB60Yh0xsWiX2Floon/KA/GDs2NzY12g4M9uKfR38Xg/ASPuDEy0TouPgAeeZNpoNAUyCT8UkhGU75AT9ytI6/brVniq/GSMO1HeJP9UYdHgoWuEbz5hAIVvENkELgf+bG9uC4iAGkmXKO7e3YmGxOkDYcvmph+4/jRRecP/TyPk/Qp40kizPYvTcm6WtUt+dZGLez3v85nt13/nS4fLZvXnz28/8RLQIb6cZzXYrOkf7MWKd7qwWjcEgGi2WZ4gTMMDdsEGgdjcWlhAodnANoj3XjkF3GAD04UKf0rEc/ZiZBqBsFNOACuLFaE7JOAIMk/iTo5NazGoZtxYzs00pfWKaWJ6i07ZjKjo7VtwMJABMMnf3+jBAYz42pT8ArZj1eMAgHadDAC0dpdVC2XlJBV4xqDXPmrF3cCjMnvnFpgaRQYdDbznJfRRzCy1cVwqeRQG15wA6jOhvHcVUqx5T7Xo02zOxd9DVIAIj1tYfkBHabNv4ubC+Ir5hTC4vm1cAQSomY8rG7pUr6zrgd3NjJy5dXiszYQAzOzJGI6Y1aQMBnGBNYpkuXXJsFvE8AGF6VhexsXka9fqyOu/qhUWh1V6+fFkKARwo2rzdmhKPUPTL7QUZL8QbIC8c3olC57BX8jTGFsB0Bj5kUIOefm/PZ8lpVmaDAGXjg3EBA+QIDM/iUMBSMgfGXULi2u0LwotaXpzXrHX5AgA6CSxIDAVtWpPROCesJoykGSnalOkL69BSj24PxU3MgWOKuif7sbq2ZIDB5Ub0egBfmodaoVKsUUNKC016+eq8FNrCUkuAdjOzEXNnM9oJiGzV5VnACOzGyiq8PpNcHh6cRHNqZD4QuzODgu6Kt/QBrsOTLpvTJY8o351t+AZfAfWjjsPY3QXd3If5MoRjaMGvqdaS+hYDL5hoMGh5ZV5tsbV1IMC9tbUlzciPj33gMtiEF1Zm4uTUyPj4mtZX6VyjmJ4F0BJAPeJGInq1vvokYWWKDxrZGFcfWyA/PJiNqDdAcm7EwtxM9Idn0SQeZZoDXNlN1Yx2q6H4IcBDqcfyqgFSiU+hDQGynJ5uqF9RX5DHl5ZsrBg7i/MN8QSO4gLgjqNGdA5Oot1sxOUrqzLWMCEBYOat5aVpBa1jJdBXl5eMYbV/4ABb+vfy8oz67VkeGNuk5kQI45m0d1H6s+hgvAQMsHwaD84GEPpqdc1tWa/nkulIkznqAngq/UZYVgB06pgh9Ax4dI6xrDcbURsMY3oajqFS8IgACuv4ReLeuHw2YxUgzD074IyDRhuuLBuXDVnjqjdmlaZRq8WF1XkZe+RHGZeurGhSMhrRT4bheCjktXiPC7giE0xi0TINPFbcppbTGuo7gK1euOB4yStXfEi4j6saCUsNWpZWqAe0uj6j4YkMZ/gOEO5o1I3WjI1V44yNYn9vJ+p14q4otaWddfSNVmtGugp5ahJrVxtpQkA5/X5LxrfrA7BldTgvuG7QwD3aBXDgmauzmhiiKzJeCCDbft/0YuigUwbl4O5pnT3qw9HFZPgxPy99BTAu9cmDxPP8UOKbuBYX6Wsei9HzanDuKPYKg+s0Ll82hp/zHgnzj+/QcL+vT9sYplT6fxIGZdpkKMzP7/m+On/5kc8m72W65/8cBbt6v+qrviF+7O3/IpZXFuTq3j86jvm5VjRKLAsO76PDw1ial3Uj5cIZV9MtwOo8Izo67cccoIJSp5g1Nc1w5ooQIhLdHu+4U5ke3Lx2zVe/rVAtcZ6RSZyKTCFb7GKqADGfW7NcFzctvEg5VgyZ2qvl0D7Udm5QyPG8AKynkBjIKErVE1J2V/hUc+dREmTPkEqXavZiR1m+YbaqM/SULutGR6KjZB6FKpYOdI+i7QL3tl3qQFp3QLvd+e77uLLNHt5xuiptvutnqkvp2C615IFsDTl2AAMVJWdj3Gnu+beUO6765GMayIWUu1k+P6v6UoekZZJm47oUmTCTxpxzhlX9oJXBKfmgEko8l/MhLUu/ydfkj+nI/uQloorOu3e344EHLhS5Md2ehJjmqt287OddSbyfeSSNlOdlIdM22X8zTb7DpxoYwTjHq4o/hX7Vxzzqnw1jaowpowxMh6vofMb1Z8mSgYv+mUvCmTD7IWWP5HnKgdzCChW5jM47ufzJfZbD4A15FDkb3yMt/TiXf1L2Xd2KZ+wCBJ7AfHAV6STEfRnpG/Zi2FTvkAfvcUal38tcq0+WwWyguJ+cT1dETHnmYq3eLUYDZbleFf0TYuxigL6IhowlULG4xF9l7iSiXMvWWT58mbxSVibv5fd8h0/zU5/00Qz5GrdxkfXxkir1h/+eRGeOrhfymHecd44dvj9+6ETjMviZtCAH5A1d1hm8a/0xmTeyQRrqmZffqfiZefKcCpBldc9tle/zkD9KZYTK/JNmP8uSlKNuZR+s8s00zr+6n/ohn9/7ef55vsenZabird+seEIaruxz/pW8968X9t/zlLywZX/S0iaZkgbOvS9w/95nVeMwIKGoEVR2j7Gu67iDzPved+/N38JuodbmpaG3mCMwbExempuOJiikFBPDwAxaXgDNGYlj3hzlaAWUX5mhCIE5BQFvTS3SWCKXes1LCSpjvBwJZQUvpsRuIETG3uEZ5Tk+gUHP746KsYSCRhGYJtfJ5WcQnpSrOnIZNMUIvp/JxFDEx4gZMMct4A3ggGEUNPw0XTkYk/OUdgqxzIaCTPUKXW4PaCSkB4oUxCuPRkRdwX2mVTSP9QDvUQ8rGukgdbbQDBp+q36KV3G6XFd3veE/jcYz/kockZRltgWVLvmr3Eq2nAfUFgVX91EZ/MYLdb6trGhEqySB97JNqrRUXjwbt6eyL/+YDg8mhXbZV6aBOigeQZmYj/6X96yUTRN1ZdeMj0EZp1G/4RmkWYGqjqm5XIxkuFKw0GFazI9hXLrkA4fJl4FQ+clAYHQSt4pslk0Dqh2ZJ/+TH8ga8sRLSCOfpMnyqrJdB1nRuimZGufLLd71ADcEOkEywy7TnAhk5USg+q3jyqguvLDhwL9cNh6SZtNtWqGdY0u8xFX1Id5K+vm0V4nKQAt9TgOXjCbj9bgfkgM8oCzecwxMNXByH6pqUTfMjuspg4Uy8Y5Rbxt5Il5xIDbeZAyB5aZGKjzgXUpTrJSXbIEpUHyYYnEsI25vXvV76CwuftdG3sVlnYeOVY7lGTya+EObYDACIVruo1NcX9LBf3vOzQfaOcuywtB74pHLR4c7r6Qv8+E9nnmpkaVmpWPDg6qNcEGslwatn10WNfDOTL9D/KrLcHrTRib8lX4kfqhJXMfSv61ryAcDEfkhD5fDkiH5mpc8KwZrzcv/4qTodjspVq/A1JhX5q3jI2vx5BPXtNQ86JMv/ZH8wOzCm8TYkju4WVbHuw1PTYPjDUv9+OCwGsFQ8Dx560rqMdhN5Ww/VUCPKv65Tv5djbPu2+Zl6UsTbck7vW7GaPLL8pDxZJaTLO3+fELRp9Vl5iLErJs6iO7Wrdvxsz/zf+l3gq7xDBv62Rs34iff+a5497veEz/9rnfHu3/m57QchSzQefl76tr1eNvb3h4/8iM/Fk888czYyKKsqjGfjw00OKWAheQ4EQZi5StBNG6LDWALwxGHWZoCKbDTLoFwsFli5mBNlEAZKCmfw0mzE+GKBofGtEOf3dOcsq1LyMAlqFXKGBrxeNgglIKnXiwXCF/EAzjl6CwpPfE7KEoFTnOv0OPgYISZbGuBG5+8EHJoOTkmJgOesOSAQiNmqsL9QR/cudXRoa+8DyUcqOo6kYeVoHBzCsuZ9e7uHGpAgQ/UnSuDimPIktZx7OxwgG6ZOdVq5ZBcCPWskLisAw6aLefrkdf168+Kt9SfNnz6+nVhg/CbdKz38z0vvjp4kXx9VcGMNv5YHiEWAB5lPhwqadmwAmLZiLx4Du+IMWE5qiqLdf/jFAvRyGnfrrzl0oepmk6xupz2jYwoH46UESAjdFKY29qBxjngjhTbNXni+gHAiCM8KKkIvWSYCpsHcuPLXDa/iRExLpbLgIbbtzeSRWpnYijcvlDDETSnitVyJe3dcx6uJnUgnkIKUQPjSEec6NBYciz1MbhoqbPwkk4m+jjtxKBAH0peDWN7a8+DpfKoxa07m16mkjSDuUQ8CH3GAye82N49KGkkhRUWj+TfNCueQ4aVfxOLpkFHvHJAPQMsdSNvPMzwjnOJPPGIONwnVsN9iDMib9/cjoQW4T2WMqvLcgieGDwVZRwMvO8lSEAVuMjt6JBBkFJ83b3NocvIhfXPrVv7agoP2qBgN/SOx2wPysRlaTaj45Fq0e86hsn1IaaLw8G7yoc6DGvDOO1ZR0gnlA0ESj+mpBCkiU015DhPdolV8qA2VMwg5RzZqFE/ixgoON46xe/kocHJ7wxwpjxpLcUx8ct9dahzComXwdBW20celpsTCIB4idVC3qAL48LBzE5vo4cYP/qA+D0axcbdrey6ZdLi9ncdocCGbJbJ+OU+RpuSFgPFk0/ieHiP+8QhJaAnIgPGHYHqOf6x6ehjH306fvY9vxDv/bX3x6/8+u/Exz7+lMegkge6R3RAxllEZ3sn+pynB4AneWGqT4AnUzIxoj42qPT3clizmaJqC8RV1Bd5p2+jA9F3XJTpfqmfvleAQM0X9CKTBC5LrWxm8d18Ia/9vYPy2AZieeG+fEyu+9wXAv74Qn3WFYz93u95azTbS/EVX/1lipewUjDc/g//i38VN29tCVDy9OQ4vvxLv0hqxWfVjuL//a0PxE/89Hvif/2Ob4uF+dn4e3//O+KNf+718TVf9RU2Cv4YAih38kLQp6baCmzT/bITBxf73OycFC0KbW/vSMHMRWQ0GFR51XWwZpUvouqUvscIVo+jU3AyuENHsjJhsFX8iwa5+rl86Wy9LjFLFjI6Z39Qj62tvXjw6nrpfEbgJgZqXBbgfN2B4nkkkdSJYPApr/+jjAkyzA4A39mt0yReiUOprI4VizM3R77wjFiehnd7qG4cHNkSCvQcM57SubwDzp0KHmSZhTh3cCpf2HPWryugcGWlYLPoFHDK82CQ7+mzKAG+Cwm7ZIKBR0AqyiHL04y/bOtOXidthfzCP7cD6gVDTujApVCWW8kv8+L22MMlA9C727x13HUmDcYCRkrKB6BvWV9nTeWtlM1b3mVoLLKp5UEbNH7RA4fLrpT50eFpLMyD+eKBo0+E7QT2DEt2DPyONzBPFXhLSVoishxSTxR1Egn9/g4NgPmdRSwYMkGFKVjWZyciQ9Sz10OOiRmxsYYBgrxYxkDBHihYmCqqd4y9o3pF/2hZK9u0LKEQXB3hfGlHZsx4fVM+TtgIUWiweUHcUZlxS2wJnrefRLTRhmcjBXxTlPnuOLWsC+MCmwaolzwZoum8UmcTxFTTMTKu80hYWslDjK3+4DSaDbx17mtMMIh/EVmpHtQV8gexOZaBpJjyjbWVdyLORgQBOzwAjwSzd65q0B4q3sv3nF+3141Z4vD0E/DIfnD+K4HgahGpKHYf8tYwasOGliXbU57Y6S78QCNq9KvkveKbB0riHpMP9Dn0StYZo5OB3rTRlll3pKJ46gCMxcFXaIU+BmDHRjk9j7J/idcAI2oinjI31MHR0KF06cUel0dcauo2kaPy2DDjy+Ww+cQyzF2McOuAvGeel1cs2eUsTRtu1IGDji1LpIPRNqLcdQ2j0VZsFrWqx42nr8eNa9fjw088E/1oxoseeiQ+6z95ZawuE4+Y/Aofljscxof/8A/jHe/41/HRJ59R262vrsff/3t/Jx572WNlLHS+rsFQAd5JMe2BEVnVh00jxndS+prBVdGB9pj6zdR5/KKOTFI48zQv2h05cBuCHTYl3WnZMT+6XTY0+bv5U9Ut83mhPu9LDNNYgIvSPFdZBlS8HVjvo1H81M+8J5548oaszP/9u76trLK7P3/0jz4cJ8N6fOarHxfiLZ4Khgk7NkOC8d98838X3/Y//91481/48+z3iN/53Q/G3/xb/0v8wA98b7z2s1+hEaTqjKZkkr6kDV3z1V/1DfGv3v7DcWFtucxYPDP3Se/EJ3C8BTs7MCbKQIbSkDQgjEWFj93oDC7kQeC3jRRE4aQ/iGkFGVowGAC1dDVediv9aTwA1AVvgFClUiKOiCDo5SUfRJv1qD4RQAYJduZUiit/Jw8cewWbbJjk8QsERloxMIvuRavpZR+9pzOcvOOHNNScAa2CZDAvoCXpZXcFp11nuRWdKkUzcNPpwdn8tdcC/mZH9nvZ8TkWhEBqdliUJ6RVVapOx2DjDmu69F1u6Gw7v6s3CAYWurtPUPdsvfDCo8yY9Kzb+Ia+UAZX0uhfpMWTJWMCN52STSrQQu/EMytVsqrqAv/MC9eFNOzGQnGNY23Kcpd5zbtO+1x6/5j78KucJ1i1V5bn+vCvZ/VZP7pBth1lIqvc4z0uv8/uwOWlpWIscb+qm35J5jMfvah/TLtnt86SNJZZ8t7dJZ6PIHHzx+Vm2UZL87BsOqA1Zd6lZH6T9Ditn09+r+S6ojDL4tN0kb/KGXvynDeTI4xXT6e4l3nnZ5Xr5Leq/Zyukmvne3BwogBzDAd7nXg70yJrhHBDHfdM4/kSn7/uz6XTuVYG6iSV53OcfCL6c61+XOdMwXtQZ+0+EqZQNfA6+R+fd+Yy+ZkyYxlzze1vSeFN3vNW5s09DLmULX6nbDj3bIf85O7k94oG6x2eVVeWk5+URZ2RzrqMeHaR/dbvfCA6u4fRqLejOVuP//QNb4irlzCOJ3Uiubqt3/vL741/9oM/FN0Ruw6BVejF/OxCzM9MxV//G38t3vSmP6fRKWP3KnpMG30KMp+/HlXqyW+TaSe/T/Lr/H3qzDXJj4r1pK3aoSR9gT9o9U+rSywr7vl3vfsXY2Z6OV79qseFnAzkBwTDNv5+/r3vi5PtrTjZO4zWMBRD5DkKVRrGL/3y+2OvexqvedVnjt95+eMv106f33j/bzgX5Kl4PXhL34sAp4CoodgZ1iBmBQrqgcVN41VI2QwAeJuYeaCUyW1ywNUNdzPVz0YKHdQGV9UMk8aScpF7PGdZjDLc9WAqTsgIIH86oOkijIgdCf5d5W2h47e3CueOjUwx9pKgVLlKJ7GQjxSY3QR1vDzG0miB1DxRNqOpUYfhg31ozNKSFhTsvRc7vJ7/cmpmN6aBVGkUWA6qOtF+PDcv+LZATJlYzwOWLllOqMpnRuo1chL5j5gAv+J2TLqHYdc2hgdo7C5XKeUtmqQ/35mkrWJaluU3Ms3Y81LoUE2KLI7zHpNe8ih9JXmSebkufgvvAAH1yKMHaTJBjkx7zn6TZt7SMpK5MJYp3+NNzzS3NrfGZHEX43rygs2+g1xSVvZeUtkzU6U3LdrROJY536NOWS9ovJcl5JG0UyZp3aYpJ7VYmF8cg56S1md0kX8OwMS2MPBVZSb1atfhFwAAIABJREFULtv3K3r55ncmn1d0TPICeeJ9/vAOF65IDplo8bvKXzqGeowLoz4Es5yv5/ix3rbB43t+k+W+cV/TDjV2uXHRDoQY5EBf0epunyUn3ZMl0ZYVn2hH1w1eEy9F2tJ/Jl8bf3/+9ktPXdXHk4Z8ER6Ybto/QVfHT8sSYsoJ989/hyp2IHpZnHbKtnJ7FJ6Vsy8d52S+2NOV9JS20qO8Vy/n+J0vM2nLT+iZpAn+ezwhM7xjCljK5NyKbhf+emfoE088Hb/83l+Pn/ul98W121sxu7QYr/ncz46v/aoviauXmBibHqAE6KNujJGWNv/lj/9UHA1YXu3FXHsmFucWJQb94Sje+RM/JXgX0psnpgdProiQvlWFK9omvk3WSXI6wft8lrx2ftXL1X3u0Z9KOYW1npBOpq++349vcPUFv1JwkpmTBOTg9nO/8N6I2ky8+cu+MIjXbIMjIYXh1ABt4Yr8B9/1PfG1X/9X41u+9X+Lp5+8NhaUYTTiY08+ES999LG4sG53N4jV8wtz8apXPhpPPvnEeNx0mSjwMxZcoj7kwFlc9v49HPbirNeNQa9vv1GZfRJrgAs7lS6fm5vEGjADp8WHwlHywITwOfbIwowXLetiEDoIItUJ8UgMGoirDDpwTXCn21iiY3hLuqXqrDYSZgn3fXI6HYODZzsqgGIQvB6Hi0o5k68HlcMDDqss0in6SjxSeb63yzlXXHSmiM7OkeJDJkctxcSYM1KVe3sncaA1ftNPbIVpgafkxG5Cn40FPWDX7HWOyhliXgphSWV7m7PKvGzIev+Na3e1Aw/mnA1q8cwzN7XUR0wR6fGo7Wztq52gmN18m3e3lYblCHYfbmzu+QzA066WodjC7U5APA04KGdxrDPrEoCTpaaylCHASvhGbIFjZmhE4b1oW7tjWKjj8SHPh5IhlAh/CUiIooSXu6of77tdiGHyeXnGaaLc/RKTlTQQ6yWjJ8At6cbuzoH4NuiDydRXvAV4SNrJdzKMfm8UTz91R3hbYBhB29ZmR7haSBu8G/R7sb0NhtIwOEsM7ySxEtQNmAaCSE9P2BHmeIOjw2PJHxg71JH4NHB1wK/yUEn6Xhwfgc/kuBrKJK/NDZ/tB5+RQc728yHKXrYEz+Xms5uSODyv0LC5uW1PDOI/DMW7wQ/eB0cM/JpdYXANtGQMb/c6x4ErH4ww2vWZZ24JeoAYQ+p4fHgSva7jSqhHt9+L/X0f9sqZa8ddfoMDFcFv4d/UhnFcaIKv5Lt3cCBcIHjPluj9A/oy4QJgDw0UOEvMH/eOT/pakr9zZ1v1Iw6pezqKu3cOhXFkLJqBPAf7h8dSDyz90keevXlH+oK8OnuHsbuzb9kfMiCexO27nbh1a0v139ndF1TEjRub0evjaQbTZxDXr2+qnDt3OnFw2IuDw35sbR9E/wwvMTTWYmvX/OLMbejZ2NyP/T3zGkBUMKW2d4GCwJuOfNeVDzoGww91CMYmNiF0o6eICSonFgWxmPBtd6ernaa0FbQBbUFYAXqFPkns1872odpbmE1nozjY6+oZ8V7wEsVE7CaXDleWbO+pr+3u7sfO7mE8fW1TtBAnemdjO7Y7x+IXS9DIDHhht246Fm9nZz9om+3Nozg+OlGsIwe/IsPCRYtRdHYPdFDwrTtMFgCJ7erw291OR3qAmCMd+D0KxeO5j+5Jh2wxNowc/0h81t2twzjpglXWi42NHWE7HR04LhaYFQ7w3tnejU984nq856d/KX7z334w/vBjzyga6g2f/wXxea//nHj0kbXY3txT3yJ+k37b2XXfZZc0+Gp7h6dx3O3Hwsx0zLWnoj1TE1SM4AmmpiRLH//Yk9K1yPCgX4vD/X6c9Yklph5gpvVLew19huQoYmMjJ0wYovSXQ+kkxlMwlmj/ne198Wl3d1efex0fBAz/T057sbW5KzgC8J+IJ+0PhrG1uRPdE/LzWZU72wY1Jj91AvWMMniq9V+4fyZ8mi9coZ+sJM9p6vFHH3kmvuXvfrMG10atEc0We9DoT5rnx/R8O/7pP39L7Gwfx/e+5fvjF9/7S/GHH/qD+Ln3vCtqU1JZcevZa/H4S16mM37SOCNI7soDD8STz1wPDA3NLzldvrMbP/p/vk3AiwLZqre0Z4XlpqWF+djpHEWdvjmsxTM3bsba+qU4OhrExrPX4pUve1w7FB59+SOxvd+JtfWV+NiHn4hHXvZYPHPtRrzqFS+TMrlx7VZceehKbG/tRKMxHZubG7F64aLiNmanp2NjoxMrayux2wEb6SRmp6YVE3V3qxPT7al47NGr8ez12zFkubIRMTv/gAyCqXY7Dg9QYb1o1Vvx1NNPxcXLlwOgQOYnH3/iyVhZWtEJ7Q8/vCogyIP903j00RfHs8/ejMcee0k8++zdWJifi9PuUbzoocvxxMduaNv8wVE35uebcfvurhQIOy26p4AczsSzN+/G2fA0ms3pmH74cty4eSvAvel3Ac28HQ82LsczzzwVV6++WIocd++d2xvRaGFQ1GN+vh3Xr2/EcNCLhaVVneJ+/aOfkKIGHPK4exozs1Px1MdvxvzSfOzuHcXiEgppS4Nfozkrw3DQ68WTTz4VK6srcXLEuXWz8au/+v74jJe/Ina392JpeTlu3boTly6vy9jY3NiIxYXluHt3Mx56+MH4dx/6cHzmq18V16/diJWV1djb241msy0wxv39zVhdXY5u9yDqjXp85MMfj1e+8pUB6CWYS/v7+zKyVlfXZIABxMlEe5823KnF7Mx89AaAg07pkFlM2OWVpejs7cWg14yVC/XY3NyMp55+Mh579CU6e+nW7dvGi5lqxMMPPSzb9ObNO1FrDGLYb8XK6kI8e/1WNOrTOgeL5Zub1+/E4tJa7B8cCBD10qXleObpm3F8uh8LC6sBcOXO7k4sL63IuzI7zRLqMG5cvxMvfvSSjKi1tZXY6+xFq0XdT4QXc3i4F7WY0Ts7u7fj8pWLcbDfi3oDJHaDhWIE4c0EZXl3ZycWFpbjYB+D6ER1RfHNtOfj9s29ODjck9ePgWVzYzdWLkzHTHtVirPbBYyvH5cuvjj2do+js7cTNcA8uydxYX1Zg1n39FixR0vL8/HMM9fi4YcfjuvP3JT3l3a+9sxNxQzVGsNYWZ2P69duxtrasjYnzM4QaziK2ze3NLHa6dyJRx59MJ69eSte+lL6wn6srLTEv9WLyPGxwB/nF2ejs7cfa2sLsblxGA8/tBrb29uKI9rZPYillaU4PNyP4xMMybPori/GnVu348LqpWhNozSIH9sPwOyXV5fiE0/djPm5xdg/OIl6oxsbGxsxPfuQZv/901p0B6dRazZj9qweW5ubMRoBaAo6dz1+7/d+Jx5+5LEYDfqxeGFBE5HaWT1W1hZjd3tHYK0YBp3OfmxvHMbVh9bizq2tWFqaiVq9ISDFC2vtuHH92ZiemY+zYS9W6vPxgd/9WLz2tS+P3b29WLtwOW7f2IyrL7oYc/NLsbW5EfOL6wqYvnjxYjz95O0YPbamOL6Zdi02tvrxspddiLPhIO5sbsfc3HLs9bqxuDAbt+9sxJXLlzXZecnjD8g4mF+Ylpx2+42Ym8UobgoXi0nGxYvzNrpHvdg/6MXS0jDAaWKygdEK/mq9yXJpQ/oN471RX4hWezowfBlU8dq0W3MCq1xZBSsObK2ZaJ4M4nD/WDqqPdWIRr2lGLQW8CCKo5yJ+YUFTSbAXeJMTIBaT466AnElI7DCAFrFy87EhXPaOF8To5D7s7Mz0W7ZWw7w4srscjQb7cDjjhG0tr6omFcQ0jc3b8VpqyFMt8WFJe3MA6wVoGMm9rdu7sT7/59fV7gFBi7gto+9/BXxxjd8jsI+8MoBP9OoO/xhYXFRE6VmwxhjYCFBw1yjFQuLS3Hn7rOx0p6Nk0E3ZmeX4+h4FxCnaLcWY37BWHXTM21N9tF1xr/yeaLos+lFsMfqsbjotAbDtGcTXLROxzA2WLILCwuaRNk753eY4DCRJ48GcbJnZ3HaOxOeH6DGp92TOBvVozcAl6oW04qTrWtzzIV1x+LJSv5kBsSf8rP7EsNU1Um+j/FPW5ARv/Ir74sLl6/EZ73ypZqp/fIvvjc+/LFPxN/+H/6G08rlgYfGZ/F0e6N436//ZnzvP/m++O//278eX/kVb9Yq81/5q/91vOKlnxHf/h3/07gMvrz1rf8knr5xM77/+76neBciPvyxp+J//NZ/ELX6tLbPTzUICmT3APEfjZhtTcXdm0/HO3/yX8fUdDM6nU7MzADox6GJo2jW6jG3OBvXnroVL370SnR292UH4yleWV6OvcMjIY+c1WuxMAtwJWjOB2r/FspxdjpOTvuaffUHtVhbZdAC5A83eiNOFI80G93BWQyY/WHILc1oZsFy1ebGUaxfZEDwUQtkvLGxG1eurgr7pVlvxn7nNJaW2tp50h8wm6sHWDoXL64QoajZLzP25ZVZGS14IJ7+xEE89ui8Tm1vgAS8f6IZwdUr65rJTbWn4vr1vbjywHxwBjtxZPu79Wi2MLRaCtbr9urR73ZjdWUmOEWejt5gKa81FcfHg2jNTsX+7mFcWJmLU3bg1UbRnmoGu65AZ8bjsdk5jNODvXjkkRcJBJOBD6TeK1dWZVQzEwKNm9kraM3MklhCZavtyx5/pLT/MJ5++kY88MADhkYoaNGAUKIYfdU081xZXZLyxdBmxxvLZQr1IhC+NwjiQVYvOJCamfWNGzfj4YceFP+ZBW3c3osHLgOih/+KIHwC83sBsneWs3F3Ny4+gPKxrDEoJhAmaTDcUdDZL7hHnJOXgd13tra3Ym1tTa48ugUzc2aEGFWUS/k3btyOBx+8NHYK3r27FRcvYjw6D4wUPDYLiyh6+xPxEAFemhfB2XjGEoiOgO8b12/Fo489ZI9K1OL27d24eHlVB8MykwYNmzYwSKo9DgwItCmzUCaMoEajpAkEtWdoX+jMly6tj+nHuAKEj+e8J6T56Qwc9yyYmbxBQ6G4JiR8gDbt3R3FU09uxKMvueQ8QSbePxJoH/TZw4zn5FSglp7F1uOkO4hWG5Q1LiQO/g7HUCHcxRME8GR6dvEYAPBYlxcajDXQ9ad8uLFKB2x0N9bXDXKI1w1P0EMPrxfgyojNjYNYXZuLBsTRhqN6bG/vx4U147/RQnjlONDajIwYDmoyzA10SQr6/6bauZAf12514uGrAHm6jdmgdHJ6pABzeb1Hw9jeP4lVAV263Lt7JzE/04g5ARJGnPRAgD6L+dlW1KVlOY2gG/M6QNhtyqYKArh9URbGNUHDfIeLdXkfq8PBibMbCuzT8UEgzA/kuVxcRKexw7ChnYGWUXK2bONR4cQDCwe5s+xFMdCPl3gYU22wn3iCh7MjIx6DCPlnx5kHegAduerBJgkmc+67Z95Q00YvsWmFzO0hnwe4l6JGZ7G9dRQX1ujLGUdHuryoM9fkPcs+hj9B6LQJ3qDFZYcQPHvj2fjgBz4Utza3o92ajhe/9KXx0Isux3SzFZcvLRc8LS+54t2c1aYbgqdBhe/HnOgXI6JzcBp/82/9bZ22sEBoRKMZ9SkgY9hY1YzFpaX41m/9O3FZmGrQiWfZYK3Owd4/Ii8wRuEbxg9Gog7KLTHHiQCP/OtiJeSY0xpS53kZVEu3kgNj2k3G3h6f9mTUN0tICJzb3zvRWCf2laOoXMAL/+999jBVApSDwvbObty8eSu++IveKKFAzA+Oj4kewblTdskRQwPGitfPgdP/0i95kwabd//0e+Irv/zNks2pZisWc7fJBG81K2hW0U4IyGc8/kj8wrvf4Q6tOIkSPEfDcQ7ToBZf9uavFcT8wlw7FuaAfe/GymLbyoG4iagFHQDhz91cKHs68NLCdFmC6KleHK+yurSgbs8SEIYVSqk2XYtTdh+NajpVHrIJxexPWXTbzWa0m7j3GYjLCeUj0He9Y6E+4ngB6jaK1dWZQEeBdULXsrFEjpwSz8cwLl9cESJyLiu2GtMa4lvCrYl48MEF8XUKXo/qMTvTUv4gjctgHWIQTgcoxi1ts42oL2NktiqvYHAGH9gro2gRi9RoyGiCktlZOhfo522pRXCeFCw6NLIzbcMp60uzrViYv6xuhuHGZVRavrN7yfUyouxZNBVKVouXPf6w25THI2JZ5oSWLgEpu22YLab8kSzRatMrSbC5Y6icFTFM0wWFmPTQO19isFKiaQ9od4At/G7E6MzdDXmgvIVFFAkDixUQQfHVBfp2FdeFUkbRpMFi+iMWiEWQPqbFfeTDHAMpF+1Ri1hbX/XhrsRtRC0uXFjzb5LojKl6zKLUFG92Po5BtOIDaLILMBU/v+uxtMRJ5ORo2bywuigIV/jMfxy1wnKZLjC9ak15HURwWXNewPNRlntJt7SyEMuBscqA6EEXY8lKVpUKUJBdInzDZuCk9KKU9aAWc/NT5UxGbtTjyoMr8qiRnsEUj0SjyeBq3pPzjAYddfcAtbo1RS+t6kw7a9DPTSkgWU/sKKMeeILpaxAIZzAWHbLkJS9aYGXFCOXQQn4vfmTdbSVtUIv1ixi70M1V1/+razbO0TJsbcGL6kKgD4TuWrQlP2POVMZSoeehq7QXA7/lnZ12Rn4mCy8brshYolxPRi/qpAK0r9t5eqoes0W/iLAAxNZI0NABPyvDSC2rNz0hgTb+QACvjHHugXo+7oPaMYZXYk6iwoYFeIWxRFs7HVwuALqqn2OoVHs1mVuu2arpuB3jltVj/aLDM6ghgz6pVmSkuAy8rvNz00UuyKgulHzVVfnqn5ibh37esZzaWHJ608d34iocyCe6S+39DqjaRt2GS1RhaXkuPvj7fxjXbjwZ/bNWHJ2cxurag/HFX/y6WFkofUB9mI1Rbme6JP1sEhNqbn669CnFP8TSwkz8Z1/xlfH2H/vxOBwcx1RjKlqjpTg+3YuFmfn46q/7ygkA2hxXIIm6uc04KUBEim/cBosOfQY0gXmyuGS9w3uqExiD4qX1DDlAttuQX4gi+fvi/uy00eRdLjstQ8f7kMJ5Zur783mfDSYzEkbl9b5fe1+8853viV/4xZ+PYb8WM+2pOOlyflk3PvLBP4rv/kffFesXl4uhb0HTu6NhfMHnvT5+6iffrWd0pyuXH4zf/sDvelaAZI3OdPzHb//eB+KzPvezbZCVokmPIAuLppwCr8GCLeoUU4/Am8LZSbR6bTQViwsT01MFpGOkMINzx4kYxLxmxgguzY0CpaNxmMRAsyaGhHkGRnSsYqnPqhkstLGdkwGZ8yjG14SiLvhJOgpAuCjMVtj1wxEpfodsxGPqQUCzjAvv0GHQkBItHcPbld0BUJJzcySGdxhhQynHWjBzlwTr3aVFjEFuuN4YFJPbSRlcp1BNzladBqPH/KVStZiqN0LjMTQy4NYZA0rZNYwno2onC6jj/Awze+44kLSFIlchpcGgbuhOp4Q6mmVZClyl4hXUzjzviLIiYxtu4VvZkeXjTFwORGO82ONB4dSDI19QxEWZ0/E1q1JlfH84FCwEPE0+4LUqOSgPvDg65kD18aBmmijDvMCThvHmeiKT3hrPcg1y58Gq4hu0cdTLZIBpGpzQwfPc8YjMJP/w+mT7WHZw+yf3/d7aur1wDLYY01NtS766s7Ci8Bok3pP7Op42Yiey3mnUOWcOBT0KjnrJ33zieZtsA5ZmOD4lRmzldr7UT0at5GGo8wlrbYzvlIk0jHivHlNTeKYIuqUEK4FpAa4iS/CB7dEMGBgK9lCQjmNP1C1FYC2a8ppAgw0RduJibNBeDOiCKqCQIpdqpUKz6xixv3sSi+UYGHQDu59WVhY0KKk9wGY7YqY+J6OPvOx9hU+mhikRs3l780wz8S+rFzCSXL/O3nGsLAJXYDgIaCSGjHfoc6QjXkhs0GCJfgP2YCTjUbTUasEpLcyXsr8jN1zmmw0XNXBJMdYvMh6Q5YaW6Kvt5bQNPIPvlEksnY918WTGZdGXOdfPZbmOxJhJ18jwdSC7d9NCj4ShAnkl6LuLsWwsAhtiYNHZs2vjGS8iv6FHRSk2Sc6+Us/kJ/yQccDZeXi6dCyS6+9+JErFBX5bVt2XCagm/svnLNbi6aeeiY999ONaicArOTO/HJ/3Ba+Ohy89IC8OPKY6xP3khAEkQsJKRvLeeSNGtqHohZ/sWO6fxTd+3VfEq175ePzLd7wrPvHxD8XB4U6sXbwaf+mv/Zfxxte9WkZ9wkDQruP+VOTL9Be9QrWEBUWdPOHjN3USREg2vpDw+/Kw6hU3h/kqBeAYSXSW+cUnneNMO6wsD8aewig0DaVR3DQv+L+Wvhe82KrA7GR556u/+mvi7W//0XjrD/0f8QM/8sPxfW/7ofjGb/ov4nO/4E3xlh94a6xeXCzNgajiiSmzuVrEzu52vPb1r9FsCMX0hje9IT58/WZs3LrpIG6Csm9fj+t3OvE5r3m9PCnMIdXhtYPBQifVoc5rqmhEXMosJWlHixqeQw4PHRCMDi50bNzd1kse6HAtFymRQnIgMgLpGQ91oBMQpFfyGHHAJ78NKkYHAHCSJRJfuJHrOrhVCktenXrsdXrqxyh3rsFwGLudI9UN2hgchC9UlDUnlqOccavagjKdBGBqNiX1WYvOlr1dIHpDbWf3VAcBa0DQ7Aq+OyiPcmHDztapglmT3p4OCyYIWpxVGrB/GPx1EUMmkDp+kQYFOlKMgg2FiFMO8D3uFgPJAaabmzslS89/CVLVqduaxXhH27VnbjlNUXZPPXVjzEvKADyS9lX7iRhAEAmEL+0hvCQHfesmLTNoxE4J2BatJZDazxEGlK7B7rI+LBXibcyL8ra2dswR7epi2S7LMT0MZll/8vFA4xPp6TdcgLoV0VNaBhWgFOCICImagrG9G4c3ajo/L+uLnLIkZ6BNDEdTyASFfLlIiwIlUDPL5dntW3ddRsG9Iu4IL4w7KMssBIrmmW02nCY3GZBvt9cT3k7SQxsSB2a+WV4IaHd/cl/vZQRx0QTQyHKnL8vPweGpJalUYuMuAbdVEmL4WK5hcPZFoDv89/sM8sdsTNBOM7x7DMDG1oHHvgwrQr7ZTizZcak+I28CoGDeIA38y0B4yiKvMUCr3nR/PxsNtFTj2Zrxa8gzUcJzySv55h5QGs9SpXCCqj4EwnNILMSafoxXNseM+SLAwpPSfqpF7B/1FQvEJIEHGK8E1OtS/zcPlFoZEUA+GLeM5aVMlko/g2bxXnTypnGZsi5JM8vPJJHOpXRwwApvMWjRH8ICk8hZVkxY/lsG4MIP3ma5zefnEUJT+MDh32Vypc/KaaI6E5Sd7UsV+aPPeKkQY9ibD3jX6ZAB5+0P02ajNA33vmi5dXMr/s1v/m78/h98ND5x/W4srV6KL/yiN8bXf+2b4vFHrkSv39UEOOkzIrdzt6FKuAayb51Jk+igcV7g4hin054m3a96+Uvju7/rW+Iff+9b4h9+93fFD/7QW+KLXvdqhVJoo0uSPORw39y4ZAOQvo8OcP0sZ2cFJ0v3at7Jl0CUtDtjDnolL+6lrvWk3RNaGjn5S5t4b4nrwzvE/mnHXs06PfO7H5/33WCi0jAl/wDvWl6djstL83FxcTpWZ1tyyS0vzsbqXFvmjXpR7SwaQw57dWes90cK/P6SL3uzFBtt/wVv+HMx034gPvgHf6C1Wir7oY98NKbmF+PzXvs5FCwHt8qeaLTJhvAzdEwNKySmSkvzE4EhMI6OyIBER+oTYFS2XUPDbme/CIMVzt7evpQ/wiRBYSedEHo9WCFQHNRryz07IDt1vPOBjsGgRGxVertQgIMhAY/OMXnqmRdWvwH3xoOmljJNr2dblGNDC0C2mo5MgJ6GT+SumR6teY8i5hammduUNmtEY2iXvDswnc1r3TmzJFai0cRj4XaGPq+FFwVfq40P4kzek7Yv9HL34iE7tUAUV6fz8oDT8txpmN0IkFLGqcvi7LuxXo6aAo1ZXvIrNiIpS5cGEjqoFVC5WdDQyy+WZaZ8lpzveBA/PALluqLl5LgaZCGAeC2MgyxKbVGMaN7jd0JUmB68eZNeRQ/C3OO55Se0RCx1XDIGWBQFjmcFQ5h0LE3nBYkoPkkK7+jEd0YIUqDQnDKBPfkFfTlr5zvlQ++t23eUOJUdwK4YACaFwNhmMT5RfuRej3pxU5EHf/KyCZkdEjhAdEG712QoFN0wI7e+ailvjw4+Lh4JUxs6eNjfPev1kSiVSwwASfcHVUg7cCz7VRo82XlBiw3WUm7hL5MO6M6LQX3yN7AVsDDvwQMuJjLwjr/JPOArOGF+x+oYD1ujztIe3kPaCK+nl6O0iDQaadMFZbgc0zMj2aA+Nrgvrl902egslrSYpaPnyjlu7E6dlyfRniTKgf4cFCmaicGUIDSgjfIasbTC8q1lh3bNCZ/qiW7qY1gnD2gPdsZ5MpB8kYdFfHK+Kc9+j8NlpxT4i6HcqMPDhF+w7oBfdB/ylUyKNpZMfexK0lLpGdec+BrLNn3OfEta0R/objDjxkvwSO3YA4J33v2d5WnKzYv4SfMdPV8m3kVMss5K6+bUzsPf+a3fj4989KNx/e5m3Nk9jNe+7jXxpV/y+nj04UsxxWHII+LnWNFwOdAxHHqnqurHSsXgTLxKOigr+y7fqT9AnkkqJD3yoqvxmZ/x0pgGMJLlbI74ofGT3jqGjEF0k3bkOHVAloUDIZ9zj8PjKY8L3mTZmZ4CCALnnaRn0lvO5KXb646BbFOv1Jqsmviire7n5drdTwoKc5ME+IF8ZIdwKzbitM+OL+4SuzSId7zj3fHWf/xD8eQTH48nPv6J+LF3/WxcXL8Ul9aX9D75LM3V45+99dvj53/1N7WDZXdvJ/7vX/u9+O5/+O3RbKISfUnwy+CVdEx+khcdBJRVZhUpW2DbCNenKCiMHWPplFkmQsSuA5Ym1pS6AAAgAElEQVT65PmpxYxwgVLRQUGtnP5dZmEBUu3Eej4ljhgQSkxMYQw7FKDbtWCKVQRVtWLAZJBGSVs4SYtSksApLTSw3d2KTDyQNwXPAnkxwxgWRceShKLIgvVxFGIOaLj3a9q1kssxw1hebYc9WJZudrU04HcZMOBtdr7scCivbA+eQysKQlctYoZj5lVbD9g0cgYTk4a3GQrsieA9D4RXX0R8SOY8ild/5iuCY1lyhrOwwDIHOaTQjWJpmeDNUrbirNJw4d4wBj2WXnOpgzIH8eCDDzgPvUdsBe/wzGX3+n3FrvDbCuMs5hds/LiSVv6iRO/Y0+X6ZApmcZ7dJ9/YmVS9Q9xTW4HWKhfdrnP6qrrwe2mJU8KLwh9x8vpMWcqDYqetBgznAX8s21aG5P+a13xWqaMNsOYUdatoRQY4/Fm50qlpsxJInnyh/7D8gZzyH164y1fWx4ME9ce7yvOs58nJQeFhNWgdHU16OTl5nmUm3rDMszRFmXgpqOKDL1oLjgFyv2GQq5VYFt6BkkasXjCAJr+TXgajyTouLyMH1cXOJCh1egY4ey+qFBFz85OxaeDvgJtTiWmtZiPA3i8qQT094VLfrNmYG4t1KU/GWrkJjewm5UraZwvKP0kYjKZnvCRn2cfTXldIQWpG0j38EBtCKto4TUCTR5GFYRCxvEQb+6KsWcXemWfkwZ/RtzMVp9sTu1bRxmYHZBqDmzZnYGXHmfuK+5Do1DvoUzxOxD6Sxs9tdKVMOB/oQXf5qiu2zenIwVdrCn1beS9YTp80TGYks9bpyAtvTk21olGzTiKXi+OAafS46bn3k3Td415cv3Ezfvvf/n7c3rkbv/+hj2gX9jd945fH577mldKrauMSljCvOC4xW8Sye666jIvHxgQJNQ9qI+EM8pXy+SNEwp7FElukZLQyhojTGAcv+YyMEsfltiMP6+vCg0IAy+RZBrcIJ0gjVKQotlDBT4U+NvpMRgFh0DEOiVr1RWICia91vobUWFmmv2D05xhZCLgPH/d5l9xzawyj8sLTwZr2zVt3hXfy8sdfEnWe1yKu39qM97znl2LUP41XvvLl8Vmf/ZpYWZ1z0GnJQIPKKOLW5m78m994v4LE3/iFfz4uri4WIyZLouNTbtWJ8gmf0ISj4hu+/j+PH3/Hj8YsOxBEZtKa7yGEfHdMBzo+nzg/L8FpEVDu/TL4FyMn05Shv5DgdWjvwim3oMkiZDLSkFBpk08oPctwPUwRaQqdCgAdy/O4gEpRkTbzRIB5DyF3O1BXtj3b3KFDTdrgaRyQg2s1LkB8xRB1p/T9pMudCFc8hl/KREUTqZOmLAMviYOcnS47d6arZrwSofRUubdaHsp3Zr8avktwrEaMUi/uUxfOl3KwJewomuVca9tDR1o3UtJpOjwATvIq63ReYib59Sf/Tt3hYeFdsvUcfUkHD32N0+eNiU+zxvlldQ/2j2IBhV4u7tsoz3ql/DmBZSdl5F65THpIa5qS19z549sUha8U5T0G9NIPy0AKXeDtEJuG3Do9L0EDxpoNJlNpmq2gU8YhAPmtBkNRWbxF6UXy++5nzK5Tbl2f57Zr8nuynqRlGR9Pe0XPOGe16/Pll3llyvyEhmw7jBH6W7afynVnyOSln+bPSoaUP+2iZbHS/8fyBC+T3uejjvwm05TvtE+ZnGWJ6mvFI1bde+4315d2Q9bwWjAQZ9ueTz/Jm16vV4w382UsOyWQ32lTdxRZwJMno/n8fbebq44I5SSsKq+8X45Bunt7M5566pp2rW52DuKhhy/F61732rhyaSnYrEPDQI90IvxixaJHDBAeYvSJDYZsP/OUumY52T9LW4jN1gWa4E6Mce6Fk20ijaFWqvI9/1xcVVF+O+uZn2OuZ/OqvNIPkkSondC9KZ9uh8yBDLhKPcqv/OD9+3V92hlM9zLCjLQVDKPErMJdzxvYM1J1bDd2SacuxPRoGCMpxhzOrayl0EpnuLdcfrsxLYSchvEXv+Evxzt//Ee1/RUSCPRj0LQA0GnriqFhZsTF0AroHbP+lJej42MFYzOLUgcgbuDoxDszChHEuzDrRsjVRcGeGnDiehmIAHc76Xu5rKg41tQ5LNEWPstiABv2YwEYAc00rCgrIYQHlVKnPjmYmMdwErDCMwdJFoV3SHxVjRli2SXCevfZMFrs4lO7AJi5H8sr80Xp1xXLwm4IPF42PrzuDsaS9AKHNJ52o94AE8QxASh30Jg5+07nQmq58ywIWCZQHX5o6/tsqyyNcqaVYycIxGXGSiwFbdSepo2YJdWFT3PhwqqXDep1bV9mhxVtLYRcbZs1zgrr73jywOKiTdnmz841tu3i0bh4cUkxOpwjtb/fEYaSvG86V6kbc3MgrRvUDWwj3pmbnxXI3tr6smIYgECAxyzt+ky3rjBMOHC23QarazMeeGBdM27Q0lnSvbC2omUdYivwmKBg8f4cHfXlySOmgR038Bo+3Lm9Ky9mehxhuo/jacnAoT2RBWZ/DChemmDQbip/AnB5h7xYtSBOQvwiGJsjfUq7Ez/G7i3kBscK8SUE7dJerFiov5FPy/En1WzU/ZH4GGIgNHtv1EULnonObidW5NFzTBCwCWyf54xCPFJ4cQG6wzOALm02G9HpAEXQKksAIUDZ9YuLEQTaNg2OyI5DvMQ94lFY1u7bM6WDrPHGCs/Hu2npvwyIacwAKAn91BNsIMA9ATB1fd37CUjGA8jsHLntE5xb5zDR41gCYqPLknBNAI2XLs9pNyjjJmCkbBZBJnI7PjACi9pij8fNfOKEAGb1gLiCQYQXfGa6rWOEzkbEYB3JmwiOEXE7gGouL88qfS1I34rTUx9J5NWpWnSAW5huaicVZxuyvO4lOXSqohKiN+gLVoD6YdgBBjo3Ox3d0zOd7UYcGsH+Oouv2Qhi0Oh76BVWCoA4Odw71dKet69zhuVAmGvIGfqPiRJLx+D75GDf6RzG8vJckaspGbHwsN2mPV0mAfPIfqJzE28FfhYyqVi9wwHQQ9qVe3iIvM4LG+7K1YuSJWQP3Ulbs/OXC5Ba4r0urM4LMBO4jd4pep3+w+BuUFJOeRAgqzxQ9KWB4F9u3Hg2/t0ffCi2do5jMGJX3lJ8/ue/Ni6uXozFRdoGT7/jeVgmFp915h1jzGksLc8qJrTdrgv7qjnlvoFcoRNYFmYFQt1QcCQOQMfjSBqWgP8/9t49WPLkqu88VXVfdd99u3um1aOZ0UhCQg+EBJIQwmAW2xCwEexCbGgRGAnDYh77h/nDERv7iFivvcbYFkZs2LH28jQYA2YNkhEhGRZ5RSAhkAaENIxGrxlmeqZf933r1q3HvVW18fl+89Tvd2/3aMQ61C0i9JvpW1X5yzx58uQ5J09mnjyJfmCljbqIaQXfLLYXtIOAHA0Hvqs0JzzoInhifmFO7aDv4G30OCt7/MavCfmkDLJtn1TLgMI5zM3GmLviZlqupzUjAxCYdgvA95DxxXTGb5KYXPxmhY9pK6fCe30OOUkC1R8an/Ttzv/JqeCdr/k5azQjeuUiB/vThUA+G2BlzPs0nlidguQIql27OW3mx5a8Rv40Zk+D1i+yV3CJycR21ViRUW9c31a0ahQZJxeu3diJ0bgRO7tEOw7FNyKOy1GPG7cjDo96sbm9q+BrBPgjyu/m1m7s7nUUU4WBj0ipRPLtHhGF90hwO4c4lvuOOhxocVrkJumMNH1w0IvDTicIPI3CwsFPTr86stxUtFbgwvzc0M6DYcEgDYODOwqOGXjnYKC4SChtBg2MjcMO+YBLfJ8jOUmjxHGQRfETGG3/wJHKdw+OJAijY25BH0avdxIoOVYWMG4wWqgDGuqiVpyWO105d3PVAe9RMgTcZLAFLx4CxxFleHerJ/+C4eBEF+gqlpRm0C070uKPo8tciT58KCN1c+tAe/pyGCWydJdIz2zJYSzakRnB5xGfNFuOrj1mudiCznuUEsoBGqCEGGhYc+A7Sg1FbaOzpYGCqMUoBcHGH+v4RBHGaR8Xq3KfUzqdUg++R+C4vLSsMhgro9FxXLp0qRgwdn7F+NO2BRf+zhDHqiv/HdpCXJjRibdWMLjhhaPDYw3yGWSOsA34zKFAGZDHIy+LO4p3QwYibcrLhXNAQElTF23ET284HEz5DH5ncEXJEtmZPjgZOYIxbURxc5UM32k/IwLRzVHedhJF+dqwgF57JSowcET3eZ/YI7Dl8TG4z8oIZmt1/dyKYLVmua6mqYFZ7iRsRczOiHdpK4PfwvyCThihzG2c2lGcMY+ThER11tqUjky3FIEeoxu+pA08+C2iE+grBh4p+ZxsEP7jGCODyUo/TkZDnT7SNSxlRRn6ud8x+kv+k2PJIjTAsKEQgQPZMkcHQRMNhpNG7Ov+MPtD0T7R8JgYWguaZMnPhdNK6C4N3AR95HJftp04+RfBpQnIFvyFBqUOjAcMbNppw/lY9Ju08I8ca7DEvwRa7O3gl+ntRmIucfgFYWOgk0+RDPITtYGgpR7gPb31qowP0DjyveOTIdOKLs11IY3W9IJrDcZaxbZPDH0gQ1594G052oABQJvaJR4UvkwM8IR5kSLgaua5WcHFqOf96gq+YmWLWieCF8uWEVvbczZ0Wy2FBCEvzwIGDV9kINjQR2+kAzRyN9OajWH/OB7508five/9g3jXe94Xg8Zc3PO8++JNb/q2+Jtv/tZ48Qvui2bp39YM+Ldk6Pt6Hra3CJxpQ4KenF/w6jn+VdTPdhgTA1Y+9Z94sKwwqec9iUo/IvqL/zAIV1eWJec0gy3mJuFeCAxNCBpdnkv7fKqXusHDK5OeFAMLfsxtVvSFdeJAkyn0GbHHkBPkjE/eAx9LNMdUeJS8fm9fKyYhTIZbjRk5qjeaI8llNdKrG+7any/YFSYGABFY7FEYoSgBOj4f8tF5dHT9IR1JuZ01Sge50/1ZL3f2e+YdTsbx377prfHLv/BzZYUJY4ygbd1ocwy9HGvd2SZS7jmvDE0NOvx/cA63Z43bxSAjLpfgmMfFUbqSYVUxehiSJ3E8YiDwEi1MxoxfSn6eNkObUWzu9OLiBlsOKEBHnuU6gI0NB1Oz0TJS7Ixp/SNWGlgJSX8PW/zzC8YDunYPCYLm+EAI5vEA5dqN8+dTETXi6vWDuHzvimJlMR8/6oLXSbSXHA/qZOjrTZZXZyVQjWbZ2qMfytYFgwwKN+lNP2irBFQmDhbJbPHivdWdSZx0UiwjLWcDs6mgh0uK7cSx7nFcfWZPwTvtc+VrNjY2zuuIPHRggJPiqXU8gzhp0JKHGRr8lbzkK0AizuMXIx+VGRmEi0uFTiWoGytoud3DapVWGpOHdYkvysh10GedDrfU4wDs0BAMNmu6iJYjyPCq8fVKkfHZ3WVly3F98EdrNOaCKxJWFBzSiu3JP78SDz50v5Q8CtCrJOlL4K1MotYvL+OjZyNVo4y2TMoERI4sfIeLjXOSTH0W5Xi2fBQse8y2mV0y8MP55MOIY4bJQ3swyFCS8Bq/rz5DRPZLdq4l06QhfsPPiu/0CUFjiTZcyfBEhysIECvdQFDYnV6sbXBru+FySu7iPQQShY5e4cJwwZfRDyfxHP2c9nFF0snQK5UhfjX9zUfApCOLXhL+vGcl3LpJrzktORxqkEI9yRiLpgYRBihSmLRgbG+cx+fNNHr6qc144AU4bNslAfx0bH0xV7O5zmYkQ8TWgPuIFUz7/QB6Ejdu7Ma9l84X2k7iyae24sEHztsPU2FCmnGwdxBr6477RD91ulzKCh3clhNOo52MtPJLH0EbJm65+pLt9LYYgyE+pugqeiJ1sANE4pvVGHPFFSv+3o5zPe4B+sXyT1DfwxJ/x31OugOWWsbc9xV89D0hHDD46vHLDJm/7nd8AFlZ9CEX7woo9IP42v1KXTwVf7lPvToOz5b+L4YJfZBBHJGfYW8cH3vk43Fz82Y88eQVhQj4si97TbzmNQ/YuVqnSr0NnDpGGNbGrMShwoM6vdNS9bnQFM387TTOCUO8KlyTP/ms2nAaB+jk9mZ5aEedTvdqkr9nfzk/soyu1EpUzTBKHkm4ias/rbd1KryM9aQLInpD/+OTS+JpvXMazp359ZfKYBIhS2cmeapOzZTSvWf8h4oMTDPdvvOmr/UF2O7sSRwNJ/HmN39P/Nov/+vA8VGCMUSRWPGp1klTKy7VZbpeVoaBEk+O7c8T8EuKFYEPrai0caAr1TOI2/GbBPtOWDVYyGAnVi904Ei8PI7R2Mv+iS95mB3j0OgHjitCqgEha+OTfzCjRxet6kmoBdyvYd4Ghg/LsFZahusZDit5EiooU+hW2F5CVHciznRJRUEDp+gZZjKiSyWADpbITIuVLs+Qs17DgTKeJedyshUbDGClXBpQ6JAfZbBzVZlY+7SCzX7LF/ANtHd0WhuxvCPdPFYaNBV+K7mKbamw0FVAM7+guJoy4PhH/s18lDffuP2k306RZB3lk0HqFkUPbMqWk4RlsM8ajacNM90OL6M/ZQJeol9M/2kZNY86ky/Ik31xBqfC2+S89annzfeFR5N+sOstvkJAyk611Bg2A/iZmoRrHTfP4g2+6tuEl0ZEGrSJcwUZPBPHQtfENf1TFIZWa5OleLYzofHpIJcy/rK8XmdecLYndhoZiaPoLsMy8xYaMNgiJ0r2SoFrNE1EsXw3rVMMI752CE/znXy5lCdxLnWJb8HeOYxb9kF+1vuG8tCJBxh8ZwUSPK1jrYB5D855xyZGuOXXZVP+PNirRYCbPt5CwphVOXhWqg697DZNsxbeOQ2fzEwsUpdWuY23fxM9/qMfeyw2N6/rDsPu8SRe8oqXx5d96UNxfp3DAJX+lj6os1ihp1gyZfIWveKJpuyGqe9X0rPCyePW6XSPC7TVurI+Hp5uawWHby7nNOuw29P9dKnb/QKfpLVbWfFu0pf+T37IOqv6UhefXRy5XW2fr7TbccDnq67/n3CLME47z0IBMDO7GUC/Jap8o0OKwIlJU8AqFG7HVNVbf7Mi5LsHPWKfeMWAMHEZWZf3ro8PgopNn+I3I+ZkMNKe8KyUgQNXmkEW5ksgv6LHWNbV4pOlerpK4TbBXBhLtKmIa6OpC4qpp15XZSy5DcmMKBSUf86UKsalVSy123+jAJPUZB62cepKwq2nHVaIbib04KHvWI6l7YZ9SkHRFFPXhl0O2KQ3vPJQwWGVrfQpBpmMPt5Sd86Y/J3UqRJQBclDWSGK05CFor7X8iTMIuC0PetQjWW1r+6wWldAapUGNIwFGxiujYpQ3ihqO0in8IMvK1v0q2bnhK3QyhYweIxw5bTqVPv8FGONLMS4kdOwy9FOtnowwEUTNZj28NBntFvLHyXNH2kc8MuKyquFpqsVr3MCy+3ik/+AyGMjmr7yU30rCcqUo4bpj7/YHPdMiW60i1WDobYg1DwGSo/j4injlv2fNSV+VTuJCaWVrexm6pZvn4f3pAX453OCzxEyrxU/BiuqZEvGK0FT3iuGgugg+PCXI3IfD3zVw2TC6h8+YW6TAyF6tQLHXvnqNHD0mlNwRVZwpv1VVtH5bTzZVmdSVekaqkVu8ZGi78jJdvk04OekoStN5qZ6w7JQGdFTFitfeO/DK7QrzarEQf0seqgTTRtWl2SWgU2uPpjXRatim+pQRVktkA6T0QLGlDP/9wZHMT/flgO/J3ozcleYXruB4anAo+Zz+gh/KOBJpqaTDuQv+2skN4GFea6Hyl7mcm33UaZ4hbk+NKJoK9rTFk9YGQdYDduLD/3hw3HUGynmWbTb8eBLXhKve9XLYiVPN6PQtQtCG9l1xQCzDne7zdeIorrZ7HlmBday5t4ADis65lHDcAsc7iajrwMvjQ43Gj7O8c/96TyUtjyxZetgnlO9pqKGU8Gr4FAOfSX9ZTT0t8prPWgZ8niaq+/Wr56sMD5ofJIOBj5XaUW0tHMCSLehVsUd/Zoa5Y5W+rlU5o6EOCZQ1bFVaRgrmYtUK2irvIqs+c2zC+VL5/EK1O2/UVQcY8daDJmmBB1YzTgZ25+BwrmVwaWX+WCQoLTEhDKGxrovzgojB0K2KewfgQLgKDaK2sMOexZAY1/XQTqF0rgp/wkzn60mlsklNGVmhkPw/kHGbrJAAN+CZYaFdvKHkaKyAKbAuOn4GljAlc7dQB1uGfdMSaRp4AdFLBqvRKBYdvfwE/KgxYCHr9FgCK3QaF7SNS72y6GF+D5kX9PllBtlBSXaM34OVlymjtts+mj1Sz4xWS/pzeh28M1INm/oRnCImoYbjqCCUBQ48PGTEWNJSTp2SNKFcv3BJHb3Od6vzhGL7GxzrS7FXBd+J+ZN85/9U4xbthN/qnyAn8YTaTR92r/T/nE/ukz2S6pKK3XRW343ye+sNB7LAPeghz8cwS9tuImPj0fyuXF7DDf9bBI/lGHW5DQb1hUu/m26AsO+COYvaGA+xbenekzbhAe9cBDG/6z+pC4QZgoGyfYZ2ymZiz5zPzqFAa2STeruEx9J/AcU+x85Jgy/jC/bKqK7ftu/iH6xRsHgxCfKxhn10FZ8eKC5+9TRjimjNA0iZXAApqppRu+oN+1f+A1fQD1lUJaPXTlin/zuAI02YsCXAc31ALSsoEi+qcaHHxwbyKD5y51cLDFNj9mL1+3XaBrjcO3fxmcmukc+PCI6yBcPnxL7XFmOkF2XsQ4EN2iSsgHf+HuSABpjBPM47ALBL5GX7FAH9lUQWul/p+NAXD0YYt4GppjlxbRWHtHSMcfAnYcVNvmNoUtVN3hZl/g9dMR9x/HLlIk1L7zbNalAtqH+RD6kezs78ScfeSR+612/Ew9/9JG4sbMXr3n96+O73vTN8Q1v+PJYlmsAUBrRyBApOZ5pCxseTt6xH2Aa7LQNtDloUtDXBHfKW0LOfmT4UJq5jHHFF9kC642pjp62HbqZZnV5IQ3fIng9H1wCnu0hP+2wjnBfZ1/yjse/Uw+DrcdQy1OREU32mMBAk1IuWrG3b7/HCs6zYfL5T69a8Pmv6y9YQzKShcWF699JuR36WU5sqtmgDakCYSqUnxs62dHszeO7gzMmncmAj0DzCcg001B27myEHt+b43JyjZVm7jXCiZQsFQNWX2GimSBKccKAdzj9xEmYHCHQRTkztLL3KR3KaHaJQdjyioxbCUN61gCmhg2DW6FUVPU32uwBFSd2G3NSelrWL8WlpL20fTzwzCMHS9rtKzqMDwYgwTg9iHjmnAJlIwHBtyKa9opOFRVFW5xXfY0LOVwfzoFTKvJlPIoTKcppqgbKzE8qfkJ+3FYCt7m9AiDycHEvBEsc7YjpAZ++Q/d5bgkk8hFY1IN8KghOCOV3SE7b2SL1bJlyOLeWLSANKOajgpw+KG8YVp4kOg4QuBt/nQYqgwP4Mrvk+gj6wuUJbuktVPEZztAz3AtX8sSoFhEa3k64HlQSHxu4fkebgW0FmTlsfCMH7hUcPhkELS/iOYpz9YW6x/SdOjTzCp8f/GN023vikoq4qodv1aqB03FqdnrVn9l/VOg2M0lxG+hTBfckmKYEklzJb+QpqxLaw3Idqdz9q4LjbyW1NhmjfukLLebkigWxc2pb2g1+56qt8xCjCFoUtISz24JDv1e4MhhpplMgZQkdQjvP9g93pvEkXTAe0sA3n3FSNGlAzkkc9rpy4KUMeTAQmwSHhFbEJOLEbnGINyzqBW5Sxf0I/7gOx2CznnQ/gqtOX4lBjR8rotPVsaLnMyCjMJvKhnUbOj5P4mXd1AdN8je8SdwmJr48plfmAQuvhrH6l2XIN101kQ9RK7a39uKDH/yjeM9vvy8e+/inYzCaj2/65m+K7/rOb4tXf9lDXi2HD/iv0AHD0DKkqjV2nXG7Ff7wYNKJsvXgtfyujBjTF773qn/SmyDBORmnHVnf6U+3vUqr/6Ye/AoTd3Ll9/wkLfmLNHD2iqcrzDbwmWWcRl7Thu4+Xa9q0snRqZyqn1l0gC+fpTFVMz7v375gfZg+7y3/C1RAR3f74/jON78lfv3XflFHZ1EmBwdHsbbG0XFGAA8MOBU6rIA790j3OxFczQPC/n5Xx15hGTEB2TSA5BeOCA9iUUu5TqMsA2FGSaYAp5js56TCOiGCr5R4qgxI1XfgJPxbG55ClQxtXBEYB80sG4YuKDBVez17JJHHdXBEWLdYq2HeCpATdcnlBmeZaaIIgdIFDwwZjq/mYEYu0lPA+O5lcejOg0DlUrmVpNtTXuujjjffEebcZs18wDMsD1oipgydieLu2iAwpDQOsmy2qbxt+CSiFUa+s/JhC8Fbelm2pJdBg1TwT2XjXMCt4JzKo+jtufWgN9P+oEz2qdtsBed+IC/tYGZnvLOOVIT5aRz4a/pUv6tvZ3HOrT3DOK30zsL1qlGl7GtQC/6JX0WHs/VRpg5X3zW4JzQPBPCWoMlw9IpptjsauaIArV0ncHgqnjIO5hHDvqXeWl9m7SVngQsMHvORdcLpPne/lWxnPlyfHZdvrQrYwLIRoO9Zjwa4M8DKyolbmTLFYRUPblPaCGbyj3GfQtI2mOmVaUmT/Mz0s59up2nqvMkrTnM/nOb9szD4fWs92Ye8sw52Pn83/0AjH7RQJrlxWJ9X7W7E3s5efPQjj8TT129Gp9ePuZn5ePkrXhqv+4qXabeNSTX8rv6c+pEZy1vxqmNftZF8Lk9aPtCCx/3iPBiKpCMv9bzOWa+v/t1vT1Pzdu9vl0ZZ0nkqOUiIt37WYXy2cnUZrvgAznOQvvF0QaKq/9ba7kxKTnvuTG1/SWuhs3HEHgwHutNmRjO4sSMmF58UmobS4oLMOjP5KotksFGsrnGTNLNxOh+GsDCYUWyk+OZ10vlH7mYQS8VyYQddZkn1enzjhJnMs5Qxc64y2xd2U2WSzGucmdG4XjM4uOYAaxEV48ong0ZaoC03/m4Bdx0gyaH/uSoAACAASURBVJFcrzJY2c5qxmPl7RW5MmidMghS0WRJzz7qbcTB148VhH2jqL3gQSgFAv7dqj9KuapdpkG1soXvB+3mdi3RWyUAZGBeQgY2dRHCgdM4vhXceSifSrmsDOFLUq6cMQIFlmBkW6wE6u0kb72P3C+Udd3ZT9TL9+lvv64NDLyjf4GIMmcL1CsDxqcU4O10YDWNmD3WjdMKB3CzUdPpdHSqL/GlDZThMw2l5CWvrFHOPG3+sVxUZYwPdU9n9ULUtK3arxrVN1MDW1uMlK/aRC74jdkyk5vVtSXN0KkbPy8iIPuxga3DCvQ3q2CFp8h71hiBFjxOd1+Txuz/FprJEPXg6z6u8JOBpL6mNvIUeYePdCzI/JK0z880WAVP4CwBtfXWUytHxpfQDcTl8kqgaW5d4tIenAgX0l5MnvIhjAn+eOVxHRhpuUrGfYxdXwxMG8p1JYQ8qD9a+ZxBZ7mNhADwaSpy2QBzXxYasNpTLgrPdrsd5plMM80rmprG9ZrdP3kSU7HbFLnbfJ4w3d+W39GofrjEW9gf+qM/jqeeuhqH3cOI1ly84IUvjm/666+PxngS4+YkDg4nsbaERFrObDi5bYmN67K+Jc1yUtNXU9lxCfKz1ayJsPiEdsIT5gtwruRIEAvfVuWzHqfU/lKtTt5WtONt0nWKWylSp2v9e70MiwVnxz+/5y84m68KSH1U9bAqmWMaODXLZb4RB3vDWCOe4BfAU2ntLwBkvlBRcKey48OqgJUwA4/3ly3saQjkFQ3JVN0u8XmSwVtx2MWXwgNKMv7ODheDItgKwaJbxy3AdI/vUOoeHpXsrLw0FJtCig79TjylI7b6cmAJrUDt4rNwapC14nNdViQcT+aRsTDObTt+k3cS+wfEpilCzinA/olCERiG0zne78eMvr/fVywi6iZff3ASfYJKqt2qzZcWazC3rwlwVWOhFSdKuj32rsGCO4ZOYm/7UHBFJ7YL8KVgWxGlhc/TmCsjfEkwM0beHez1ykWfVlDXrm5LdNmSp41snZlu4MqgR9DPUq+CyZnebIWMuUgZo2PkuFi0h37HP8kXJvvOLIzhzgF3upkqbDtxKWu/75UMThryEKCQTChFcODIfW5V4OuDkQ5vsJyPEYGvyO7OfikzcN3Qtt/XYH3Y6SrfYcdbusRs4WQh94GxfUw94M6ggf8U28XApU6CXaLk8XtxXcaRNvIen5l8eM8/D7ROTVpkHlbPiMWFUqa/oBF07Qi3yreENjGY8tDezsFR8afykXzoc7Dva0+gEfkP9vvCh76DHsDl/j9WHNlqo1/5bR8e+9QMBr4MmAuOkVsuG8162dYk4Oigd6J4UsRNwt2JWGn0b9KffLSbtlKXyunex2qrJLdMwJV4T70u7SPm0YkDsAaxwJBL+wcSl+z6VXQE9Zhh9nap1/W4ftqDL4vlF2MDJ3ZwQBeQZ2ebGGn0u9sPLNLBVTQejeLwoC8nYePuWGwHe4eGo0uY4YsjTw4Hx/In29k91Oo1PAMcAnROxr5KhPbLN29snypiieGbxFYsxif8TN/Dd96S5/uJ3u/twcf0MTw5VtiEFBicsNGj+H9iEIjXGs3gsm3aQz4+gZnyYv45ib1dZMoPWW9c3ylGvPX24BjYpiX0BM7OTqdMlNQrcdQfRB+/vt4onn76avze770/CM3RORrEZHYhvuqNb4jXv/ZVmjzJyMZQHttvDHj+Z71c/fYWNjqGBxzgDx4mY/xP6Ah+mQ8IpAq/0V7rdWDxm3Y5j/kOGsJv5OO9Y6pZ31EG+qOLlGfC9UqD8IXC5jf0FbqI98KXmICdI/UtvylLsFjks/JlsjEn/Qxfkq/hwLegIn4mXp/8JY0zsKxHrFOmuIkK9hvrDY5jUC7FhrYYTke6/sm4Ch/lvzt/vmgwfY50V3cVc35IALdoKShgCiz7+CgoZls8pMOAbMnlQ1ydyWikiz8JPInSYOA67BxKOfV7zntweKSIzjjAEsn4qDvQDLk/IGhlN44OBwogiSFBGoMA9aO8rl+/oTgpo0lDe9swqIKHjR0ZG+7nN8xf9wFCkcGMEufGWEKHoJ2MbLThLAo+lJmbtbWP0zWDCkzNg3DwEDyPyLgobwYm6uJUj+ruo1gcemBqUCjSsqP9QkMULbFpoA3KFEMDzCYEkiyBA7nxnboxkg4Pj1SGQaXXp30MNlaQonnxt2HgSoHHEZrgmbopXoJpY5FLWqkTY4A8zMQ9nttYElwpH1YhrNwwsprlXqnp5Z9M2MtKDHxAu6wAMOygTV6Sie+FZ1b4OOliYKJ2Fb+W1ZUVrRYw+2bWjl8HypIAdM1GMw46BObk0stWLOrqDyKh0x+GC8viM0PQRk554t+E4c+2McHlZpp4Y1lho8wJCpirJPQluOObwKCVD+9pD+/qD4ZgIaWMXA4qaEVLUcIJjCeiiG7M+Hm07Vr8AvFRgV9NAwLjmc8IfKi8CkbZUkRo2sEqDHfVKeifgla2pj6GDNrAoU76hLAInLDCn4tLjll9zbgurNY6GjH+XzPycaHrMnAgtKXNyEO2md/IC3SgL/ntfrahw4CBWxURiyGTYXg1gSCtbN8oMnc7V2qq2TdBQEUrrSCq6T5FV2bo9BGO2/bZcR/hmzPTYvM8V05sqIAT2+HySSFKfqup3/AC3c61G+DOD+hDF8Fn9AU8eDweanJDRPfZWZ+Ck5smq95NeLglGQSn+fkZuwkI5UbMzfsUH7AwGJEXwcXvplxKzG/6kTbbHkRvlROCMmgcHFa6acpvhXdqFyFnX6zV7rWj7Wtr1Yo/2/tc6M0lsfWnvTBLa5yEopeuO47HHvtMfOyjj8Zjn74Sk4V2vOGvvCG+7299R7z6FS+MxXlPF9xP4AhOTL4MBj4WqJKQfOO3+Ca1xTtul1MdD873gIqnWk0FuOW767FOI3fCY5yBhsDhsVFto81Q8cFKX0nrMOLBadVfuFFuIv6yEebVzfk5y4FgKnAmgTytJ1y3bwKwDicdA2pYZI2fyKeDZxp/EyZ5DZx5sl3TPNKtGGmNqS9maLLm9mWb7tbnF32YPkfK73dP4i3f/T3xf//qL0hxaCbHEWEJSZESGQ2+PuM02Fs7G3Hz8janZA5iZQ2HTARjEoPeSMExYUwGsYP9w1jVe89I6sfGU+CIUry47IGAUzIoNQaNlZUFoQIsZtw5GFGO3x7gE1tWObhKBGPAEW0H3IadV7JodkwEYBtjCBr/HLSNJXjKgWNLM0kvy3vZn1m7nY9ZpUPAKIuSsnFy1B86oFxuS8h0M3wGAYxBBnipNflKlPZI8UN/h+qnTgm0ZnJ2zOciSd6DK0aYbrtX/V59QNnXH9OgWgLGEVk320vAORV4LIN4bXVRBgL4HRz0Y221VoZYWjJ6qNf+Mr4qgp4vgy2Ox1K05h/XgyJxPxsnv/N30svW2pnldPGh2pgtgXYJ18fW+UXq2Qddm4r+7Dt+mw9vV/Jsbg/W5klqYwZvHAwj22VMnJYwKnzBJQ2vfJs4eKtPWE37NPP407NZ8iuXYBEUtBerq3amTrqcLeffLlf1Qf7Oz5KrzMaTr07D4lfSq16O7+lzZIfrpL3b6zKsFhP01G1lEDa/3Ip3vQ6vXlqmSPfqiY0zY8dKhI3AYhwUfs7+8mBbxxcomBL02+l004d6SAdehYvb5N/ZbxWdkJbKK9K5Mi/tNI8QUX9pOS/GLtQVY5zGpYJ/aw/cmsKkjwmE21Lns5Sf48FxXLlyNd7/Bx+Mk9FsrKzMx+u+6o1x+b5z0SLUyZQOhc/4rRAtbMcC9yydbsXCONNfyDJwqjKJU2HfmhwUIU0yi97Im1eFshZoP52MmKmEUmmxsqVR5X7Lknya16rJUFZG/5q/Kl50udvVn7gDz3Q1v2Xe/KzXXKVRwlTUGFn8WR0EtYJTL3snv3/RYHoOaqdB0jkax5ve9OZ41zt+1X4ydKv/LxBKN8OZYlSzqFKV5kGJVfd656tweQ88R0VOYyoVUbIQuQ1XzC3Fwzs8b3KOZEFUialhUi+XA6BXCFKmSiOs+IpBUtVV9KGMjETWn2Z00ErfmMSVTz+nhcz41oW1Mh6zBHkqIbWBxTvSUJhZB2lJD7473ZjxnSfxvd1355DxpuxVSUNN+juflBm0xsdL/zldIo4vUalSNAHPmiK0wgGeIZeaC84oKnzUgET7Mh/pKEQPEqlcSZvWXDoQGvPAr9VTyqs46Vkuc2Qa6RiuXkHIt2c/jUsFPwfaKl/CI6XKl/WKfjXZqMOrYCEEnmFmOfH61GjI2mxwkCfLuu2kUzerOHUcoEXSx3fA+foRD3xAZaDwDFi/SkVeSeRH0t1w621NmUrcJeRlYkCl7r+qPQW0PhIOn/yr8RzdMuUh56u3IWlsOoJD1b56DWe/1+nud2nEjLUyzJ2UJl3NwFCfQCsP8qK74lNxLVE/FvDnK4O3VnG1qGH+izEhQuq09VYch1ZME6/UivbTvpc4qE1ul9tGntP9fbp14E3++pN4OQ068qRxz/dJ7O4exJ8/8VR87JFHojeIWFxdj9e9+uXxkpc+KNXG7QRV/53pp6leqiqu15nf89P1A4+VtJxUpKwnbuZLr7hCJ36bB5IGynnGYDLsGj/WjV3F56r8yMw/t8fZcEwr483Et/iV1U6CZl+Q3/glBuBQcFYHup5n5VEvXsl49MTek1j0LFu/XjU3bPC5W4+17N2q/S9BvdPOKYzJsmUyrgXIVj4DFnnZssrBi3511xZlHSfl1NfZmUFhzDJOyr8madPAt8ECYGgImIXXpZDjpqKFU4QjxZhb/aOBAn4lBuAG43kwobwVUjWbcB3aStR2BcBG0e2WMAm0RVdKcPlnFToBXPDPySCOtLcxbpT9eBsRyqN1/JylpKJUbhtbZXajGUkRSLfFdBVNUKYSFhNKd3QVQTWd/ddEh8bNuHZtswx0mKmT2J+GFXB7vVNg41E0EbwcjE1hrjVBucjYHTOAetVPRlMR3mvXdkVb/2TlyvBFaJTduKnZLXCSpw77Q7XH/AId8WFwe8mX/jLZh/WZKDyI/vSFlTaqzBfcGUhcLGo2fff290WLrJetU383vYDFaiTOvZmHz/wnSKWdt6aZt93OutI0/WlbwmQgFUauVgZKbvUZbuhiYhvFzkQ6Pjf58Fs+GTWDjDTLpA0V/LYYaLIvKIuvkGnLFqQESlGluQJFfaI7Ft0Wy0hTlz/X6+U79VAftOUz/03zafD0fX603X5S8Cu0pbvhKZejXvrQPme8dDuFayNPbdnPjhsCHAwTfL3FS3kebaVkTCXhpBq0DV66TW3cvLmr+oj1lpMEtvxlpBXc8HHz45UwVmPwX8FwU182J3F44BVTaucfW5z5KI0j6fR0ifnENSiVE78Dkbaa5VLdehsAUkT82tUbNWMRek+Ca6fcz64NPjYv+Dd+QbprbdpoVn4dF088EqPY2T6QT5ntUPRTI/7f9/5+/O7/8/74/Q9+KLYPdmJ+aTm+6W98bXzplz6o3sTnx4YseLiPWAFjgiG4k7Eu9Xb/QiePEeYN61m+00988jBBso+dYUBb399IeepAi5+E+t0cozKS07IKByzcK7wtbH2D20T6paoPVJn1GW4kPFz4jBuD9aQyxM5uxpETIyhuXn3c6fXwg6pvPReZLEa6/PzKheiCKJn0FUSli9WHlh8mZvCX0LFs0CFcg9TrRZPbkdVm/oxjZ++orNGb37PU3fj8osH0WaiewolSgyHS1ySLHHa7SkeYGazIv7trx0S+U25/f89aBe6ccPmsnRLxQUjh2Vewy4QRsb3ZKcJoYcPREmXgh9kYQei4CBXt4nIEw+NRvQjFBMe9LON0lmoZdP2vQGMyXwYBPu1kWGb4OFKPbCB4JoRz7Kj44rg89aezIgKKn87mzn60tM3FnVER3f4whgx6khDPJoU78iDBwhERR8wy0y1B2xj0KIMRhQPo4ZQGxtn+YhZiRAnfIPkOFLlCkeCjA5l4wM8XfloB8x6FgzLMPHzic0WnpUDnRZJgggZFseHXZGd4G0etJreFZ+BC4jL1q35nMMaxuPi7pGHDVqaVCQjir1AUZUEGX6qaVlMbMDDSyCCBASNpmZ9cNpuP0zwrz/fEH8r2ko/03JbMPGmsnf2d+fk0HpWxong8ZdCH1jjvWpm7A+hdnPuz7uz7ClcuN52XYU+a31cn77Ju45r1Tkt7MCu87IlN0g/nUwZT/IsY7Jvyf7P5pprUDUwWLMfW5PbJ8sAAHaA17Uma3C6t6g/DkJO0Vg7NYxjOGLn4NtG31QSMjnAZ+9lxfVJJ0+lG5ByqOo91h2GKTqwxs/qCVS/u9Wpl4kpdC23fEefVTPpiGC2FHPdlwvAgFxxn/1D22rXtsh1tvcMlveM4ltH5sY98JP7Fj/+T+Md//8fil37qZ+OPP/whpXePerpXEvyNJ3LnSQcDJb46O3s7Ym1ji7wclXrdr/hkAYdnNEZG7eekBG032ocLeppQnLrzJbDg7XZPptHQ+Q3t8CWTYBM8s38Sj33y8Xjq6s24ev1qXLrvgfjav/aN8fVf+9VxccOnmaEFfe52ICtg0IiW/LnMyxhIc3N5H6f122n5KX0ivNAtjlKevMQBFeMLrxl3yY2CENOPhRXER0lTyy06wmVNGfzBtFJXeEB4E4FdiCf8kW+kqPHb3Iz9oJQPh/p+X1t7FCONQxH4G1aP3TeEHBRpco9nL/B140GOGDN1EbYmCaR50k5rfCKOgxHQwz5WGNbIg3VyaTfBO/vd2iZuhcHd+OZ1r7tR81+iOmE6Zor4m+SVBhYkDxr1vWsYAAZLAasc8mB7HOn4rBQfZLCSQxFaGdpRFgaTaMoaF7+LZq3pgIkTo5XoJGa0JWPYMGADj9NRrgSZ2Dh2ZzA4tUmnbCbRmKkGH/sdgYeNpjHXNSiIn/Gzok8Rph3czm2HTtXe5Gj/XEyED3ABZWNRglEMER8rzuVh8Dttu2OsgK9npo2Y5UqHrBZKNezAagXj9mGs5YAhiDji6joV6GiF6XC5AKCP/D7pDixoasOSynjYvhlHc3ZuqpjkcCwKAdO+C+NxP6KxFI1yxxNOk0JYYBq+TX2qcNzPi8X51AaU8/A9eccBDhMPYwM9eG8F6Nm9DTva47yNpgdXYa/gd7kC4PfTSM8GKUOAwSZ9S0hG4UMH11VX0p6totBZ+cn+ybrSGNPWYpl9io8Lfyr+VOQKI6UKzsWY5vqSk+Nhueqn/s7IJm0Sr5Q1+lKyINKaf53mQWJxyc7NLjeOhTYrsemEbjzSt0W/JhPJSn37A0Mt6+MzvydOlON7/oZGqS+8De/ZO02W0aJrg3BKNz+kfCwsFmNJTcb5tVHzh/MqQdaR+OVn4g7f+s5H8xN0ZyUIic2VDrpkfh7e8FVItEdXq9Ar8LGuJ7ITOPDgL9q0utqO//jb7463vf1fxrg7iNHsvAbp9jt+M77lm78xvvu73xytSZvTH1ZiOaoWvacQKFolKTIZxTk41USELldmckM7m/hTNiJWVpZMEfU1eHEAwgYDfZ26LfuBz4WFduExeKkZK6vt2N/biyc+fSWeePrp2Ot0ot1eim/+lm+JL3nR88RDKC1xUJHFpWUmQzYW6Df4vq1VNfMncPENA1fyySgrK1GpW8DTvO6+pr8aU1m27rMsVbwhuDUHdWiwMI9hIzLoT3sRQ80J6j/Hl3EGTab56jqRDx50fJbhN+PacqGtMsREPrMGC+xJrKw66GmWA5cZcJE+d8dJh0iOgYIexV+M4qKm+pB2+7fpKbPIr4Xl6mI7Dln1nLeOoD58Rc1/sBPlLAPG9c7+/aIP0+dE70nsHAziu77zLfEffuNXYoZYP7msL15NhvCMLweB06DJSL7neLTPnDMCsYmYsi5sCb8+IKSyTegWecpbmJ6tbgu5hSLzpOC7tCGpLu1J3QaeBurclgMDFAAzh1p70c6SwDN0KHGCNHip7TYGJIhpRNWKOL0Gl1qKAZGfYICg8ZuHj6mga66C0PHOATJtZ5ymgQvaaGSQyVYrXcowcTCcnLVW71mOzlVJp7rKWmOU7N8VzUlM2KWcZtTVQJyppz9pL+2s077gJhrAU6zy0abTxmkdTp2GmX67NN7dPp06rQzr7dBAHSPdOm5FXOFQtT1pUfF/4vDsn5Thn+GZBuQGh6zDcCsYcBF8XW2pVO/4ZmM6Bwx4P5/ko/z9uX/WcfDKsAeONEp5D1HT962e/yw/lKw1wxka8tTxM129teaBxttkuX1uKPV+zHqSdhhbTGrABXrZ7Hvf+/4ofuL/+GdxeHQUrZNGTGZmfQJzphGzk0n86I/+vXjZK15W4VN02uk+4TWrfUDNehOj059qhwK9Jq1Spk/nA551Yp125DFtt7Z24onHn47HPvWp2N7pxPqFS/GVX/GKeOVLHjAG6CJ4QvnBKengerzVVsc18/B5ts6s17yELCQdnbfiqSzr/jKumWaoCdtcK4NO/X0aP2pMGKxa2YhOfK0PzdOU46njUJIKDH7VeYnf9BMYVE+93R4n2EZkYUD5p/xZ8NdHlufT9TO5Os0DpPO+hqeagWzQxrtnMN2eYhVFvvitdB2rClyQCcvAlFKispzNkKlUtY2UTFcmlOJtZYMJzDDAyO/5qTRtCcF0MAYMwzaf95czn0MW5KACHPwtHDcn8egfHSmWjAct1+k8/g4s9rs5ueXHfhHa0poyakT/KLes4FSvKrCPnrjQDMIAEOxPjK92sUKRzG4inPWbkTAgvWWbQSsSZdbutpeTNDSPq0fk74Ng5XK744kIdxlHXpEyXVkipl3EZerL98h0aMS16zcK7hZ9+3BgabgiShELxJMxb0d2iSWSLSYrd9QRT8uVa1Z6/fq2cFNSwzGIfJydlInoPCA8ggtptk5sKuOVygkc8nGNXjXyKkG+Sdrzm9WC04/LVf3e0ClGKz/oV8XaSjj4tuUM2ANrbs1mH3pbgnpK98oPhFN99ce/K/nIrU3yUL+OdR+Dn9UOsMwn9IU04TRuS5YhD2VPy0vSCd4iJ39Mh4q+5kenNxQXS7jLOrbT99kBYTikHuDZuExfEAYfOu6UbIv2dl4Gt/xHaR7/dv+oHqEHvxNvh61YaMAgynUwTC7Ko8uGobvfe1FyUosZRWgD8rqfsw3YwolfgvI2mOsA3v7OIMkkurNqbv88NU+4bG3hi4exb9lUeA/58DTihNhTx+P4+GOfCoI7xng2ZtqzsdRmhaURrDcQnuFDH35YK720bX//ULGi9ne7MlDRXfDa9vaetsfRP+ilvf0DbUmzqtzv9+W6gGsC72gjV7YQKwyYrE7jkjAgkLDiEjkmFluMinFFnuE4+t1B7G7uxZOPX4nfec/74tff8a543/s/EM2Zmfiar35jvPU7viVe/uL77AeFa0HvOE6GJ77CSCEjvIXEzQWsdrFCg+8P+Hhr375/uDHs7hBLy/yg7Thi42kbEn/OoeJXyReMbeme5SrlJ2Mr4ZMJ3oPesWIl4YaB3xZtlI4lJEwfWL5BAHzsw2g5criYk+KrSvgQx2SCpnrwcxv6AmI+aYf/4eNHOBwbddC80+kKDm3B5QI/O67F4ZH/kz59HVSuPBIYlRA4yDQw2I3gZgvgiha4ZxziegEDI2PwPj6xx4qxRWworgW7em0zuB+P35NJK5544mnbTpKZu2uyfHFLzqz02f+WQGEwGUqD/XY7Ps/E4iJ+AQQiO4yL91yMG9dvxn3Pf15cv34z1tfW48aN6/HAg/frDrPOwaHuMmo2morxA/Osr5+P7e2tePDB+2JrayvOn7+gEPzz7ZmYaS3E0dGB9sc3N3djeWlZzrn4Y4wnu3HffZdie6sTi0stOWcvLS5oICcuDbFGuMR0YWFeygv/BTk4z+FkSjiBZlkxH2mJlrhQBDxrL85ri4AYOr3eJI4OxzG3MIrRMXvUDma3vDIn/4djDTCNOB6NY35+HPu7g1hcmpWDbbs9G9y4ftDZj1n5pZxEe2E+bmzu6zqZg71u3HPPSnQOHexuRkvajEIOviZhH4/iwrnF2D8cxML8TOzs9BXrBYXRnJtRrCaUO8oLHyl8hFg1WF5sRe+IqOqLceWZm/G8yxdihllJI2I4akS3jxIm5MCJltI73WEsL83G3m4/5ueagX6Zn2/EjZuHWlJuTsYKiXBEcMfmjO/T4tqTaMT+Xi/Go1Z0DyYxvheFMIzjE98bN7vQjFZjxoq+2Yz+8TBWmu24cW03Ll9ej63NXjz/vsXY2e7H0jKxYVoaNBaXZuKw4+txOA6/tt6WYmR7t380jtV1luUJnHqsfmFJfW6uGZs392JtfVlxq85t2FCi/3EFQ+nPzbd0iTPBPTnpt7TkW+/ZiuKuQk4toVxlpDXwB8GvCp4/VuwtfMRYbHFgPCLxjoJADwz4GkQUkmJlqmiHAxs6GBwo9mZjRjy4ut7SwLa41FYAxkbb/hPEh9rd6cfkHHFq4P2h5IvLXpeX5xXvB6fezv4ozm3Ma2BlRttsLgShZsC31x8Ed7Ht7x7HyhpyhrF6Iqd7lD/+ZwxU8I3iMs1ZyRNrqtdli5H+GuhqHwaG9fWVGCpgXzqpeitY/k7E35JfYIm7xgrMZBzzc94qYosYAyOvLCLWEP5wowm+L7OSIZyskaPVNdrnq4AwfAjdQXuY1BAPCUd2TEB2NIhBBhz0jg1drk7istRxTGa4LHak7TjFTdNWMgPsRNvTjHmHxO6am5V/CX3TjaNYbC/F8NgDO4Ob+aAR+GleaJ8LfJdYNV6YX4yldjuImLG0uhijuWbMQ//ZVvQO9hU75+mrz4hPGHTX1lbisNOJ1pxvHQDuYIjsdWPj/Koux5aP4LgRM8Q2mswooCp8NjOHITYTXGy9cX49buzsRnvxokJ6LC8vyWDqnwxjaWlBPjasqBx2h7Gw2Ijj8Thubh3Ef3rvf5Qj8dKoyAAAIABJREFU+GFvFLPL6/Hq174y3vDaV8TSwkIc7HdibXUldg+24/z5c4pjxXYVMncyg07jzkUMRUKpIDvE6ZrVrn46x6Nvsg/oD/JzkTA7dmx3Yhxw1xs7ZehWLNbZuWaMxsfeskTqy5YsdF9eascMPDKynyHx3TjNOTNhyxy91olzG6tavSaYLn5DpM8vsM1mdw2CmbILgj8T7YHvpPy4A3OWy5+HMWY1sJxShCeQz5VVwjjY+EdGiN1G3fBib9CL1nAUM61xzM0vxPEYn76IyWgSJ/hgNZsxGIyj3W7blUI3UzQd7Fdbo/PyaSQ2F3SC13GfOBkTWX4h5ttzMewdR/eorxA7pGFAMvGdmZnzyjjrUBS+i88XDabPkfj0E3GEiK0zP78cK8uNuHZtK5aWVzQ7Xlq6KMbU9R2Ncdx773lZ0ShNVoqWlxdjdXUpnr7yTNx3/31agrxwAQs/4saNvoLcXbz3nJTSQecwXnTvZQnA4tK6TjVcu349Ll5cj/biXKyvL8fVa9fEeOcvKh5/9HpjBUNrL7EKhhBzQzs+S2mR854rS0axvOJYRbb0GQjGsbQyF5OxFQQDIUp6Rf57vsx1ZgElPB+7u0PHQ2pMpBRYGdg/sK/B+jnvNV975ul4xaseEpOfO7cSWzu9WD/vOFP3XlxR24/EeY1YXVmI8fJcXL+xE5cubUiwdbh90ogbW/sS+AvnCNQX0dnbi41z+CTMacbRm2kEhuXiovfkR5NW3NzairWV1Vhb9Wzp3PpGLC8tar4OrdfXVmJ+dk5+V0vyb7AAEkLl3MZCEPDTUZsm8bx7lyXUI/woGuNY0bU2XMI8isW2F5E31hfioHMc6+fXtYS8jOHTYGY9jnkFlBvH8sp87Ox2Y311Ub45Dzy4psCJOEgS3HLjPEeyZ2LvoKv9eiCvrs/rxOXGxpLWEug7AW7js4ECbAYB6LrjbrQXl4L7zy4/H17Bz8QHCtpL+OmgOMdy8qSvUMaNwUmcgwcIWDfXktHClTIYXvMt1glQZqyS+PqQOQydcl0Jhtq8jLBxjIdeLZpf8CoG9fK0Zlhp4IQYQSjNf3NzjoGEscaztAyv2Mjx1gEnqZqxtsa9i575Li3bz2h5FZ6OaDXJ04gL98AD48C3JMI+KvQt9FlesZ8OXYtyxfDFMXgwOIpmqx3zTeR3VsfI6ReECOOMrcpJox+t1pL6i4UorX41GHQchM8Ott6mwsBiZY6TTrPhgKIMhrlCR934FbJaMr9QtZXBbGFuwT4/csKOILI39G/JN2MSg/1BLC3RNoI/IqucoGJlaVYGXXMBneJtCfmEsAkyw3YSvk/4wuFPE7G8Ai09kwef7a2DWF3biPVzKzJw9/cOY22dwKhQl7spTad2eyMW2l5heubpzbh834XiH0RIDSZPJ1qBnaAPuci5weA6H8PZhdja2YsHX/gi4b6ysijYDMSbN3ckh0tLbemnJx8/isYDzVhesc7QqsUIi2OsAKzQ8jOfuaLAk+cvnBNd58phhpykMhnAuMVYR1/RjI3zczoleuXJp+LPHv1EcKZjOGrGG//KG+PVr/qSONg7iaU2/DSO9XNt6e4LFza0eo4BAS3wc+KTvpRhPTenyQY4sYJ2MhpGu40CI+CjODNOjl0/fm4YVxiYBKcEJwd8xJDqB4ZeqwWvYQxbTs03EUuLbckgdacRtb2zH+3FC6qX4DEYJPCFV68nce7cuRgQB4Hen2kpICgHTJI/JPM6gGOZAtvVdWBYvoHF63vuOc9X0RIj69y5NRm98AWBY89v4D9GaeseaA4N8H+djVk5+fd6e7G0shELGDhgRDvki2RZZPw4POzE7OyyDGuUMiv8i+15BeFdaM/HpXYrdnf7EUslZhiXlg8x1qn77j9f9GF6jj6AMXh2D/rx1rd+X7zz1/9NUTCksxpiP5UEw3UTzJj8eEBBaBIOjO1/LMta6SmYYlGQCAtLkTilpq8Jy6HLywyqLsksDabmlxXiyXQ2bp8DIo5z710zVlfnynYTM1lwo04GMa5m8FUvdcddFDOwjTMnIY7LyQfPUvo9BI9ZAUIBnEZ0ut1YYbli6rfE0W9Wrrytxu62714Dl9J8KlBpRJrjv10ZlM6Q1LNRQhFmXwiW64R2PlLL4GcI/B5MnVhN24kipq+urU7FbXt7Oy6cP68y1DIcENTRAp51MzNG2ScMfDWWaZ+M31H0dc3GMFbljEipcWxvHcaFCytGPNg+OInFJWaYXn7nBQbswgLO494a6w9GWjHDWIM/WNJm0PIDfabEUnvLi/JhuMwOMTR4si54yAqG8gza0MUnpIDJsWL8cU1drnohKjUrFPDT6Vr4ZV7IdPLYQMI4S8Xut9RXf5gRwi8JNMu6bYbjOtPgQUGTXzRR++ttSVo6zeXNC/bN8rYeEwYPdsYTmKx2zS+Q7rqnWPJb4GwgMKEwXeiU8g7kyDPlItpJvZbfbEfCPPvb6ZQBXt3XjzfUi4N1tiNi2GcWb1+aiqLQ0vmtS5JPSq3yTeO7MtX6rNSLDOmeOPQGeSrI/K5omTD83voFfsXEMI4f+PAfx0+8/f+M8fAkVhfmYgg/j8bR6R7FwtJS/ON/9L/HQw8+ryBW2jWtExoUf5ezfaESxpcI/cvLq1pRO01PDENhXJrh9kITDJLr127EI498QtfEXN/cji//ii+PS5cuxpe86IGYbfrqJHRXgz7FrRLto62ebC884++m0Rk6T3kSJEoQ3nDIkHIavvCG8XKz+Z6ykNgzXUna0HCn85k0dxo8ZiPF9RmfzAMlCwVKv5rsp2lmg6VqV+ma234ALeX0djQBZ59qY1Zlny/jAC09HqL3K16npQWr8pltTQQ8CbH+4l3xd9V4hzx6rHOHuy1Z8k5/ftFg+mwUL/0Ko23tdeN73vp98a53/nJhKK2DiKdhXr6cZshUcFSQg8ZzM07RAoX560IGHJxUNW7XlKcZXM3QjfVslWQ9GZcWhc++ok++uMnGz0xqkcu61R72t2H0MmggErqEU0rOEKq/hVDkl1Yv9ZdjsRYYDz4KfCdFUQY3oqVrsEjFVJWdDiLF2VSt0YCTCgAMEE0wLeU1uGWNiZfz0RbdfF18nqr25sCqFhcVlKoItZaOoB7c2c6iXg3qommBLzzcZ9R1WmkVRSOiuXyFXVFQCaamPJVdf8xj/m2fptJUrVKSrvoY8OVPVkGvYJi2zPzU41M+cY5UwqmYDNPGXNLq9DvTy/qwUpBVfSBluXCNpd4CuJKXgqsGffqOY+s6XmPlmQOLyFajY/2ARClr0PVBj5SEb6NfPF2Gmeyj05+uQ8qfTp7ydL1Pk77mCZNSVFU/qFYlZj5SAJW6INHCQGRFiDpdXv3axEhhW6YMlirMAI0OwPAjXYm1AbYkTT9O122epM9ESN0rmKf4VKfi+hxrBc4GYTN2dw60BWQ5C8XnYSXm0Y8/EX/vH/6j6O3uRqPVlJm5srQWP/TD3xuvfc0ryqXM1M/TUFgUVpeyL65evRaXL18qbSYCP9uvrPRVdODaorxChXJ5sjZXINGHbA+zqrO7sxcffvhP4ulrWzGOVjz4wOV41Su/NC7es65jHkaDyyG9NZ94KL2orcLNwkldV2Jh4UfGNTZqCad3h6xoYciYvnAsYUbYBjMdmfzY1cF5oHjLp1HLRNf1WifqO9CKr17qeNK1pavI5OaNnCyTR35murOQCTT4mO/h5eRn9yNlXR6YxjFrrX+W9pQxJt8Ai8lR0sDsQ13eQjY/eVuPlUY/E4UaYALOypcffMLoL9OOyQsyJlqKvMaRWx04ZWyDEv+qo+kpPeCAz916cpS6W/V/Ydc77Rf2s9nGmZGSMWPir0JsETOpBCwacf3a5pQ5SXOsoIrMnc5hrcNdwS5KJ+tqjOLmdccokeAEjobcO0cANg8+MOrBAQ53hks93MauMUOrF035WHGlih8GKpaSHdfIwoMDN8q+GohZDCENwbV6YGUHh0GWkD3zhnm5ky0fmBeHx6yHsltbe9rnpxzKBGXIihN71mnKyGkSg0rt5uqK/ZpMo0iIvcRSswnDPXs3N29K/9Be/m1v76jaFFicHrk4kwcHY8revMllu+RwXU88ccV3xZV227HQWLmuxvTyY8rx3/7BgT7dRvtM7RNPS8akYzldfXpb9bk5Dfms1Q0CLiTmMk8/pu6Nqzjz+zvtGfR9F1+2mbvlvC4OVNMcBcR78vMJ/om3jF+WsEuehN2Ro6rzQ4neYXUxMKncCaj+EVDTm1UnKyaUr43wpDNlGK99J6aVM3X1j+xc6nLEHOuKRqz4+BnLP4QuTdowAGR7oSd+Jd5OoIHgYh4Fpv5r5PHtsiJUcPb2mQ1Pt2mo7WfX25C/GwcTzHC+vBqaOsyB8cEv0RMIVh1YlSKwKHjY0EK5J97gxm8+vWplXJ2/8i1y+0rz9eH4VOWrJjHdA/xQSvkgxtqhDCPj4rI40YL7VE8UAOYDfhRHbWc/gxewGw4KirFVeM53UJqfcmsPOaPFWlNqNOLwoBPHcu63jBCn6XgwjFe87IXxtrf9w/iO7/7u+MrXvy7++x/+ofjn//yfxl/92q+aOqiDivUL9E2d4cMlrFxn/9LH3ENWRF0t2Ds40Mqofii0ScTN61ti6eR9Vk6fefpGvOfdvxu/+e73xo3tw1hd3Yhv+C++Lr7h698Q996zrrs7Ewe29budIxsatcpU9/Q3TsjWIcm39fsy7WJBHxb8FSMrYnvLQUHBF0OGuwv9QPtCc62YiCh61ZvKu4RZvnWlkD7wmXLgTfc7vGeZsv6DFw7298rBCerh4Av3dvpeUBFrqisqyPSFeTfTvFpPByBndBVO+YwFPNTLnaUYrO4kyzM+lHWdcNQbFAd6txHfrtEJeYGLke+Yatkf4C//L+lR8z93j7JSaB6lbCv2NNYZl8T4bn2y1vUF+aRisvIFxSSYGaNCmvSzadXbZ/9GuSz7XOUdYAtnbRzp/Dhgo2ZFYggzcbMeB0N8k/mtPGhXti1xcxq/UL7N6KE8GA+mGWAcMympMDL+E1ZCFiauJ8BHyqUc6HGii3MTiE/R2LpPJY+/Syo1WBSBmNaqgj55g4+Q33GPHY7vGaoe5cV9VZSTsGnW4ABk+MTQptH4JFpjBrpsA9krutA2nHGBJcNGNXPKw7gLM91+XhRZKVoJcMnXsMOrf7klCiAJXUsiF5Si9LIP8LMplqb5SL4rHggTTmBYFh6zMuQST+B7anqCYtFUnVpIZUvSdYhfNHPEP2QoB0cPsHRpjR4E3RxNAi8zY1tWBwuuKQesDolOZeRMmpr2RLjmhAqzW1ZoDInf4TAqpRVFMXrkCWIn5VZstpnZPQ6fPKq7zH6n70eOkeW5Y70vrWBdMHPz6WV26GH8oQ+ndqrtZfCFt9xZ0PL0DBwoonkNF7cbA1n7K0XR2mDOPqMcBpXzmhPwARH8Yogacqmz0E1GWFHmlEW5V7FyaIfjEqWxIXiS28pwcx0VHUTymtVzMh5Fp9uL5TUHPuRVnkbKrTrqcWwfy62K5yohuGY/1vmpnIbMOHDg32rNygfJhhflqutKEgY+mO5NwwU/r1ibbt7uJMc4Hrx0Pp7/Hd+qE21ra8ve5mKIq60oJFycofM5e5pPkDFMyVL0AiZGnlIsL7z6JIfh0ETok499Ij7z51e0Qveyl780Ll+6Jy5dOq8DIlkX8l25HDTlrGwPnsLX6FMckMV0IGD9wCpW9l217WzthGO/Hb0zj0/BFsYtxkFNtmlW6SNRwQ2OmZZju5kdCgaSbzJAD3jWQ7RlBn/EKVqliZZlftDHwFcfFj1BuvzspA9s8EB/8mZcMeoijUUB4cmlzLrMWh1S9LKjtQsPqIXf2JmxzrqUGqnH7c9+d/s9ybC8JH1EEZMO3p9OoEo6o5JOAufv0uy79JFY36Xq/yLVFia6pYi475bU5074i5Tj9EbTjmoyjmDScSwtcfkqytG18ZlLkjAkz9KSb8vmN3lXV1eVnu9J29jA2Rnx5L9mLC/jGO3tN1I5wXbuHOUMk9kZv3OwVEntHICXJWrQG8baOgZU9SgSc4EB0zJ7AQ8rB3xhfNImcQNuq2n/Hm8PNIIAgJxgSyGHDggK4k5bULf3nF+N8fS6lEasrq7omGjC5bPdzmCKKIVmbJzbmOLB6hBDPU6TSBLfcTR94IH71ZhsN9TAjku43cNDOVWSCYUGnH6/O31P/iM5Hdq5k/bpeoKiq1WXjr6yClgUkGCU6Me6GgAn4RldmCxkJhHt9lxcffoZKRYrinF0e10AWBGUgHmjiVeDrGxNS/upoQhbduhU2y2W9cHOvdjQFgV9Z75zcDje8ZvKuPbClw1nCYIAmo42egkml7xf+KUxisXF+SmdoAuGddJV/cpAWngayPi5pUO3644g6KTzoDCrQIN8V9EG8uBAieBC3kX57jk/+TY21soKU6kvURVENTH/qHzWXceN7zgB5wN/X7i4lj9VXj6CfBu7HsrgRF86TBMjBfPT1S6mN47e+VAvAw59kXXzmf/Ix3f7Gmb7bUj5DjUaZjpfvs+HHTwZm8T582vuX7EBfdwUrZPvhYOi4VsfnK0/cQRf3lGeh0MZuWpC7USEr7eJPKslQKEhRzz00IPFh5G24Ui+qIjhYjdOUsYkzq2uRlNbhZjPY53mrfcLOCwu2vGd79T5ghc8WGhtnYefoU0Gd/jq6pp4QTKp7dlmXL7vklbsH/3YJ+MP/+Aj8fFPP86Zs3jNl39lvPGrvixe8OAFbeWY2UxfHMVFn0kjWo1mrK8v+WSjfOWssxTQs/A2H2wd5nYQZe2Ynga3Has5xZVGAf3yvPs45OMHGGeDaAIHfsmH35yWc9+Yb3QIpMgx+Tgddm5j2fgXfjp3jsMlPKbT2tqaTkQrZYIT+qy253zwwzk9eYIH6R/Tn20w+gg8+MdYxsN3HsYpvzN/42zOKxtAlPOBEXK7zCQuXjyv05nJp7SNE3bgSl2UJZhq1kE9+VtpE9eLb2hBQ7g8+ABbt5ahelkl3uE/f4l8mMwgdPjpx4JxOq3+67OVy7JnYdbLq7tje/covu97/7v497/2b+xkK18aK6LMTWeK3wszOx3mqga4ZFLepVLJ8hYCM5hmWmWWU1iuZEucBUECkDRB4aglcJtWhCr8jJsFxANnqUclckWF/Mb3NH4MaFaGTq+ExEip1lI2jQSvvkAPoWMN6+z6i6XDqkAqImBQT4GlQrXst/2abeCl6ZLtvDX7rXmdJ/kjS5T6iyJII8O4YUQg/FWeCgZLC3aGJI9W7kTOkrdevbClrzwImWeAlLjYuKYtt29PnQcoZ7pBMiZjGJjmOfeT+QwEnE+DQfGxqvDP+iue8bvs65KzQra8PosLydTDcyssp0PDOtyyuihj3zRIpXurjADBRnbCUB7RN3Gh/qy7andFS9PBuPDesujBy07nfpe8qxwVb5aXFbzM5/pJV4karaB5Giv1fra81fUGMBikgGA+SN5WSpl4Zd35qQqf80/Sh4zJI6R9tgcuZQUGhFJ/ZH7K0pHlUtapr67bfysdsi4+6Z/sB36jXwo8rdBy+ITBNeVtEvt7/fj4o38WH3300Rg1Z+LBBx+MV7/i5XH5EqeL87EWdIhN8DAueqsYd3koh7pq7zKDp36STePofEwMq61XMkML+Ibvjp6exkTCrd4L+HP8qeOTdCkVFH6CFowLauH0FWML+jv5vVSjvMCs0k/zSiUjVXriwGd+t5zWWNkVQDqylAcUFTOsBB/OdGVS3oR3luZVTn8z0OxFl/c4kXSF8PxXQ/EskM/b74qan7cq/nMAQzz/U4dpVmVrtYKaSoUUE7t6B0M/WwdRjnfP9r5m0Eyw9jly3yozSs9Mq/oSBgNl7l0nFn5XMWWmV7iyZ8vDIEE++QwkSNSKspLAP3wVlFv5Exo+DqUmodXp9HVvl9+bZpySs3BVNLUgUC8KywqAAaj+jzoRCP5x0obYPG67B3Tg+rHixyk6L5KcwsTbuv5IoN1m+oG4LK6n9Kd8AEwjhIPjp9BGglLgsK9uqlh48D3IAVZGwyRiR35OwBHR4trV64WOxoeYVsCt2GAShx1wyT3RRuwSfK+ciCJ9MDyOnZ39aWto75NP3ShL6MZ/b+9QuAKah1U5/NfyIZmAbVNF1HB8HW9JeDYGUtmeLOfPAlQ+C8lv5MX/AB7ke/LvJPZ23Z4csLnfTJ1ZgA60DJ7858Sz9bIqRppoJWdUfCVsaGcaS+f+Dl/42DS+EvSF+aUc1S+8TlryX66CyM7X4OT6Trc7f3kCkp0mGgsQhpTzeBk/88O36ddBGj4oSbfCY1L4dd1CsEhwMAzaxb86XaCJVwstN4mP25W0KOUrVIovCPRmoIUm+ZIyzeBiV9djuqlfCyJVu8gLvuZr0z271Ujjz8Jjf5VxdA7QM+TnvU+y5lYlckB63mvpvozY39tXbCve4QZAcMh9+Zk5SCNb9FubO2oLF9ni94Ws4l9EmU6noy2VzZvbqpNtabaNcSbHj5Hf+NDdvHlT9/sRFJd4XNwtuX1jN3qH/bh+dTM+8Psfjv/wzt+KP/34Y3HpeS+Mv/51Xx/f8DWvjXs31tQHyBcncWmXDmNwwEP3kjkNeuITyEW69Fl1pJ9j696i0haseGOkrtTWoWLsdR2osxhG6FoH/HRZYO9sccE1K9bQF9pyca5XlKmLcBLQhYf84HZ0SKgIGBY3CwfkBDY7CtAGX7bNzY5gSnePI9Ar4Et++ALfKfQmfUxsMPpHvqJlBZK62PaGkfFL5B96EncHyfSYk8InvquUmHYE+tXlvD3hiIzzj90Jw2Xsw3ne95nmkEtb4Qv6H+5y/zvwJzotaUu7kleTFvqtgK396B4eCQ4uJvAvOuvJJ65ElNUxaDsdAyo1KLreiT/VGuGdqO0vUAcd7QfFwLe0rG+lUtUBVgQu51kR74CVMApQfVTl6qnV9yxLCsyVjrGcXMDXqHMwjLkF7+Xid8B2w+bmdtx7771x48amYln0B71YW10VQxKFlm0mxfI4GTtGy9xc9IkR05wJjtIuLS7GUbcbcwuzMT+3GCcnwxjhyDfiFMlyyFFQgTSP4/yF87G/31N8Ggb51XUCmuHQdxKtJgHgiCvTDgJmspRLtN0L9xJIbliWh01jgloSfBAh5oh6a8ZCTxcwaBCKgG1A2jzosyxvtul0jmJpcUmBEWfnHChxfqEVOzsHCgHArJpyGJssHhAC4GCfCxpb8vFZXiYKLrFsTgKfmVZz4Ai6WqnBR6wfF+5Z1zI8e/nbW8QkWYghNzqOG3GEEXVhJrZ2NqPZnFM9+91BtBeYkcxHNEdxY+sgWnMOmsYWRLd/FD2i5Z4M5Si/vNiO8agf7eV27GzuKS4RwdNm2m1FBV+Ym4thdxSLC4MYEDCzxEuCG/EN2ry5H4vLbQXKG42bcthna6pzeBIEj+x2eop6OwOcQSNOFnCKP4yNC/Oxs9ONy/etxdYWYQvmFfhtODyM+YUFOe23ZmfjsHusQJXDfsTiYisO9vpx4WJbASzlsswFl9xz2KSPiL+CH0DE0kozBj3iHTnQ3skYp+xhibbNQEpsJt+YTtBByrI8PsR/roSBWF1bEl/gfM+WHTNoBgQN1GMraXgD5ch2Aw6pxPhBOTJAEMCPbYbh2AMGRil8RuBTBgZiQKHg24RaKANJp3Mci0tsQTHosMowJ2f4hfZCmYw0o9edRHvJgzMDfbu9KMODQKkjggzOzcbOJryzYGOhgeHcictt4lSh/I9jfOLArbhhoMSJ6XOwdxRr5xY1iBP4FV9BXJ0YjOFlytJOaEwboTu/NSgdn8iPCr899AZ5SWdwQ+alzlhNbbZ0WES0HQ4kX/hTEW8JvODRnBAR/gE+ZQsLGbH/oSM4DwhJsUCsK4c1Oeo2ojWDvw66CsO5Ebu7h/G8y6uqD/gEACWYK8YIOB4P0Y0ngexy59ph51BtxqHZfn4ehFfYUu/1PcBOGjE/x91qHFI4jplZeM+BO69fvy73AmBDTw6qrK2uKXgtQVN5GLx7o34c9QjA+PzY2dmJ+flFnexcWfU2/d5uJ5qt43j0E5+KnZ3N+NiffSqe/8BDMb+yGn/zm79Vpw3aS4tyPu8fD2J5flFGAC4FOzu7sbFxTjxJ3B8c+efngEuf2EDBT2Z2bi62NncVWHM4HGh0ge5cRkzQWAZl8aQCLM4EAzjhCOBbjHuMFTJgrxKRO8cKdO/u3p5iKi1KNx7LJ40tMPLwD+MC/0DcHqGzDPOxfakIO8I2Fv2LL9Lc3ET+RJ6A4qOI3CzLOEI2cFh3GJQlGWmzM7Map+hvjGn0AuMWW9QjkCVKef9Eup5AmpQHTudwEIvLiw6JgzP5IRPUpk4uwstc5M4hRwJJauWvRRy+Ba12YYAhE9Q1OzNnA02hPTwBoN+lE3QgyQYjBiX6BNmC/9AN1Nfp7MXyyopkGmOaPoCfvWNy69gvprqDf77gt+RyBiWKFsIkc+Yn9CQOqg0jE7X+nWL8frYHOGefzJ917Hb68bf/9g/Er/3yv9aMAHwIOLd+LmMDuX4Elqixkiby7O3F+jr7zjZC9vY6sb5uPybSELz9/f2SBxwbMrbuvfdiQYlZ2pFmXWsqZyWMEaR6CupbN3fiwj32haJg57CjKKuraxmYjlN93VhaXirKwDe4LyywX2zc2PeG6QmCGBOchu1AjOuGLz5gltpTfCH7+3nliQB4KGKtEOkql64iTut6Ep0UZFBbkMJnhQtPp96RjcekC6f+8HUy3TxTPjjoxwrBBaXsxnHjOkH02M+2Y/DWzkGcP7+uAZxZDIoeIVvBZ4cbuhsRTz9zM+6/D1pC22ZceeoZRWRHMfGQn0FKfSEPrInC9ytwoHRiIw6JPqsovRZswv0z47twwVsBR71jBaq752LGYYrY3unG+Y3iaa2Z9lEstBcVIdnssilNAAAgAElEQVQ8FbF18zAuEHhUzp0tzawqx32MmRwkQd+rQvhEF19sK6s+l6rmlT1eeRnoWC6M4UFqfw9jGv8V8xe3tGdAROhyPIQPSbPPC7zPDNoHGsyGKDyM6ZQHDB3HduK9ZUvGT7u6DBRDioGT94gYTWBQSt9k0nCOxxcq4aLccTilz3ky3VhkXSmvbo/f8d0KWisIGPo6au0y3cOBAjlarhmQ8vg8RqYHFwzg9C9CecNPDmaYuDMAZd0YM3YotvrwYKjaarrGfVifl/paDftLASsNwyoPE6dV+Z25/5wnj44jqzy5OZD4kEb7rYeURau4zsdpwF4XY9Q+PaDIQO3DG6aj8ihW03yZx0+0knpuI/1mfOp3ZXlZvKd+nzRic2tL/is+POGVkvRvSzyPjo6KT6Lx3d5GT6KvvNnH6gSO4zj9X3v6RvzpIx+Lz3z6qTj/vEtx/0P3x5c89ILgYlb52rmpYhGisM+JXzzgeryo06SwEpNmriVRMN+kNbQ0fcyf5iHS9Fv1YND4EtnkHejG4Z4GcZhKeU4Kb5wnIKiRY2JhA1c9oT8YCXn8n3Zj1KJuBVc2ATxk3ee6QsYQehHfRFZbpnBpYtnWTriJX058/RuEaKMQK4X4qGhkngHF0p6y9WcZZLIA7SgPct4W5Dvwja9piOFGgGY/rtd5Stmy2ulJRm6rA90TUeObh5PoI+O8u3sQBEB2jEHzeKnkjn98QRtMScCiOz3Q15QRHc3jDi3fa9sG0/LKZaPATHCazgmnnppl8x1xmH7wB34ofu1Xfj75qIxhMI6ZvGImK3rhVsO3gm9G0O+yNZWCl3kksMo2nesU9jnL6GXrCDjKYeZNOE7LMo4Am22r061Ol6puYFI2P5OGtbrytRtTDEMUPXl4KqXk34YFWTT2pIKXT5jx1JKrBtisx4MReLO6MZo0pQJMGeAnmlVdbkOtb5TJdbtA+S66obSAVtpXdWhNiWCMpB+K8XA21zGFKbCJB5856JHDCoaVOiknIQmv+KqMHHBEc8ExjvQTaVOlpd+k1RUhtCv4G5nyN/PU38kSLEfmhZV6+dZ+T0DUleXP8pcVPmUxMupP8hlpvAdtIPnhW7Yh005/Vvi4fAXPwKhPtEH+phyXW205KAIzcScXyBgRbVE2WAkqA2SFnPNNseUFPJhbgeX1f86HcCj4qJ7adzWGRtkpyFtvJMIDhMcgxEAZUJRXjSrY0FYe/OmqoH+nacd7t8l5s+HGwQModPSqiMsmDchjeqaY8PnsT70e5xJ8XBjpPckfd/114qh7HI9+/OPx+FNPxuz8UrzyZS+Kl3/pSxTNn+0+9fJU1yJ34Jh9B051fG+HEdzi+Fa8dTvBL/+Zf6ckFQg3zn3Ae+rxp8uTqSClrMh4XlicOMBv9Ef2jelMOXgQnKrHus4GEn2Mzrbucb2lvinHV7DcDnA73YIKdn5LQ8/5LGcJh+IYc6aP20h+6/TqN42t67aEXcevnlZ9r+hepd3+G2vo5pN631L+bj3mkLtV+3PViwOZLG82XO0nA+OK0RhotUIzjoac3pglk9/EPPudqiql8VwVn35POdcKuTxTgdFhZPBh1km1YET9wlnWuuFkGozo7wiAy7qMhR5hdPs8E5dwl7GNWvW/btQmHwoDrLxMykvSnMBfv1MhpxYlSx7PFKaTZTBXG8s9YhI4Cw5fXU0pRzL7yarLtDAeWb8p5fr5Tjk+EXzPkkRDVrFQPxOWyYtCKXhSn5a8RUsrANKsODCW+GHVRRH1hVaHPEjqxmwULP+reuhufxnRv9TjgZMhiLN9/NdSOH+KCgYDDqsPKEjuUVN/4ytWN5JAQFFrzBniBdMnjwQb04zwbP6Q8stBQKeATCnzBzBpI4qU2Rc18lhcjUdRVnpRg6mcUAjcS/trZV0LW0O0gcJwIPnKd35Mf7vvqc8KKxWkMyW/ZVlWKKm3WhU2rAKxcGSpQHXU4bmPwMcrntlfLm0eRE7yPTiZ7qR54CUvW2bVKUjzGvVQjjYW+S3Glvmv8BvF1feOOeYy5j+XNS7KJjwME94yXvQZ34HntCyR5flkiyN71H3kfk0c7QZpPMFXxrx4D/wwljAMqkHW/cO7QkPxBIOcvuiTPGzVGk9qtw+T89AO6yBWfqgzy1556qqaYPnDh2Zf+Kg/ZOhHXH3GfoHZRo7dm534BI+Qz5Lhmj+eePwJ80OjETu7h/GHf/jR+Hfv/JX4g4/8adx3/0PxTd/4dXH5nnvKlT7Wl6yQA5hh1Fw0o1W+1BV1Wicu0/YKIVoFLxi/5FNxfjGGpScwYDTOkN9GsraFTAmtDFkWMYKgXUvbe7yGjsC1D49em5bNkbaj6RL3+USX8FpejDlbnOJQiMsKeYyDO0StX0nDsEw/SPcR7VM5E1yw2TaUTi0EES2kU4vsEY9sKg/UmHJVCihUjHnSfAy/uaxxwY/WPopus/nMfqiAtmxSB1vSprc5Ht7IMqK1BbuWZn9W5eaEZ7Ti2rWb8p/Kcsp8l/6kpN6l6m+tlg7RfxhBMM1kHO/93ffGO9/5HsUQcUwQKyT2lX/+534pfv03fjN++md+Md7/gffLqZkyDANc/cGB93f85nviZ37238bP/swvxAf+4GEZALV+ugUJM4mVoRmEbQsPlMbJAzY+FuLt4sSHEcTSs9PMRD7K74GHaH8wleGjCGkf14JUgRF5t797IMGRIiTmRzoMy5EPNuSusnQ69sAih8I8+aSb1Ql61nHb4HVOiJwQmC+FxuWy8RJihaAHelHGxWFQMW6KikI4FW9DAu1+4D4nHsNulXqB43/s8SOURDT2bAplnbMH+4Ds7hKEspThQwEvTUsphcEwnnnmGdVjunAHF8rdAz51E4jPgUF90Sco41MmA6gMYFeuPC1/KQAhjg4M5/rgO/QCjq9SrOofbiLftZYT7bjz7TA2SRO+EUe9k7hKUE3RwH194yYBTJWifAQf7Yo3SmfEJK5tlcCbsBMBQPf27eCvfmxqq8zbRQUUwTzluO/JAfUTsBRamfbEcuIy2SMbf0VJ3iB4pwZYETY4EEB+U87O5ih4pSkLW1bu0zRe1JKi7KgXXxS26XikkBVEk+BU7kNgwSvV4ITixGfB+Smj7Vmxo/GCvGxhkU99XOiZdXjMIy8KnNRKqVdbDNDCcdM8QHsy4FvSMSjgQ/udWE8Qe0bNkLOtTm3qsDzbktys7jaSh62+fGgfv/nn4dvb67wnbzqx895tLZVAEQU2NCRwdXBbfmNMcDkuztmE+Mg89hHiHffFmTYe9Gg3uGCE+TurUqYRWz68y3/IRn4HZ7Zy1KZi4AE/YwMltvjaqJ/LhEM+MXL2p6GmP3eAMfgJlq5gKTfSi/9EkXIXG3h5K7O9tKSYO5/81KfjQw9/OP7oTx6O2dmV+JrXfUV89eteHg9/6OF44jOfjCuPPxnNCZae9Rn4I9dAos1s4eqZsF0F/Yw5n3W6K70x1h2C9XTKdgnWCUwt6HHoo1doKMnSgQHTHNjGn21t42L6cqEt74Se+l8Mqt+Jny7cnfYXrhXFSV1e6sSrg4fIDe5smbLlyyQQWDag8PWc8n2MY2vbgXldDp9Q8Eh9oJqnwSQdzJdo7Zb1Oo3wBTQMijfiylM3Cl9br0/1A69LiADj4t/UdHjUc9BSyYx97fB9g7DwBmM3Tudqofiy0jOZZn8w628Zqxy3acyVCd7pdgnQHf7jKfkdrvR21Yn5ygvu+UGdR5zIuvynb/+X8V9967fnW33CV//gR/9ZvPUt3xkvevFDMTNpxP/0P/+vsbi4Gq959SulNPuD4/ixf/Jjceme++MHfvB7xHg/8iP/Q5wMTuLr/upXnUIj60eYeFJRZkA/HNx0R5xe03HcuN2P9fWMX4Ego1wMFgu5zpCCWYStqoNWNBU40ErOApl1oxhQqP1+T47chmyFb+UE81lpyXgz4sqG8kgFVsb16rdy+IRO3SfDNKCBDFiuuwosWE6O6AoA6iyKq9mU859xs/DgiMqJCoCInAw2I2I7mrZGs/pOfThs1hVZ/Tt44fOUbc2+Ig0HTwYgFDYzK5ROKnIUACfRPLdRrRrIPJi5fgboW/pJmsOzLteVAyV8CfxGtBRQzgJMMMzmhItii26bRMzP4uhLf8IQM3F8wkqkaagZOP2ugU1kEj3xldBTBicGNDnMJ6lk+dUNeXwh6Shmuuad8alo7uS1JPm+rAKe1SVQLWX0qxhtSVvzTvIjvl7cR4c/kp/RZBQt8Z753KkAgT4M5lQA3WwQ5/YSl7dW7XZU4YpwRE3HzyP9oFw/oKo+YvbvbRW/TeKYjsgLPAf+xs+o4My+FDgrm1ZeFaYsUMzPXnE1PGBkDCVDqHCo/xYvSRQKHqVPk451PnY7iA/m+vyOWDR2SvZEBfymNYihqAO/Dz1lQlnLlJlv+Uya5QsbwfjZeIUFJ3893AnGCtPEcZYk/wWJ8xvEF4LeHrgzXo8LWvdYh0BHP8Seo48YN7UaHcT5cUw4+ufqM1vxiU98Iob9YeweHAr661/3uvjK17w2PvnIw/F9b/3eeObGfsxw2exCO974da+Nv/N3fiRWVpasT3RaDeOCgwv2kaPm1GVJ+9Of1le0eWoYFHxxYtejvqtiZ5VEOf77u/kFp2x877K/qAdn53zo17PxrXjni3P5Zh5dUbyhIj9cZk4cMK1A2fDiR8YpMs44WlNPxflcCJ/+mKRzShtfyfqT8dyyh9CH4MiTNKrnR8utcHFzxYh6rTLodJc8FWuKJPharK0cXI3SiOVl/Ek9gaCuPCSR9TGu8kgWWMtvxnQ8EW6NRgxPMAKdR1/u4p+74sOUnXT7TqO7xDcxGkziX/30T0X/pBXr55bjb73lOzQrRuge+bNH4id/8ufi//qptykNa/SxTz4Rb/vxt8XP/Kt/Iev4N9757vgHf//H4h3v+KV44P77JSjv/8AH44f/7v8Yv/qLPx8vezGBEOl+s0C9H+CnxJP0nf1+fP/3/2D8+3/387X8DBDm37SGp8xc2zIz3GxVvZb8frt3Zu9cmM+cZz/BMemYdfPJ8dn2wrxOY9TbQXmboxaa+jsx7SltUsfL3zOkgC/xzVlcESHNPDDojHvimrT07B5lTTRdb6dknmf/TFhWIjnI19uaZXOwzN98cuKGk1vOD75W8nRc4pntzs96+Vu+lws3uSx4ZSWDymEYJA/dSlcYeqxBnq0/2gMOGFIuY7qQXtqK4hb/eRAAT7GZjBEPti5b6hWBT2OafUwqxoMGaYCwpSGeme46lHoT/4STdOe3FTzfsmvpPw/8mR9c3PcVP6qEMlRtTP4zHehP+i0HHw3Ot/iAuA73D/XAQxhllOWdqDOlp3Pf5q/6zqtTLgddPXN/dhiWQNGzbNuchVxvb/KUsCo6QP03JS/9jjFuo1L5p/1KpvRZMc0N73Rf1GE/Gy6JR52nUw6rtgIXXrOvVAU3+bm8P1tJ/j71Gs5mS59uqfqG+hMHDLZHH/2UQnt86vHHY3V9Iy7fdzm++nWvjtWVdrzvfR+It7/tJ+JmtxMzJ60ILiCGd08iXvmql8bbf/LHi1FUiOkGPQv/Vvq7joNQxzLM1XjxdJ2+t22cthbNp6k/PIBjoAA/jW7ome1NSHzeLu10OjCgOwjlBEg/PgtfW3ZUvbR6+qydNi7Mf9Z3z4aHK86/li/7iJXJz6k2QK9KLtz2LJu0hK88ufQbp0vinkWObMhDB/4VOPoK7paLpG/Wdqc/q96/gzXTafWOy99GQfZvdA524+/+L/9b/Nf/zbfHxYvndAQ5Owl6vvc/fTBe9epXBXciovSg60MveCCu/PkVHWclNs5v/85748UveZGMJWDDWC9/6Utjfm42PvShD5XYOpQ8/YCPO82fKFfuUPLpnio/MUgseChdd3DuXafCyhhLyQDAMXyEw2Ucn4fvMGoVrwOsWEalfrZZnN9lchnfsELL68aZUo1YbC8oBEHikS0kv+cIlcGQ7zKvcqiZHrhdL9+ZNYRODqkWGR/JQmk8TXQyMGHSJi3LToXA9RIywLjTnrNlLPBusyHRJdtbWxXY4L42thyzP/zJqUQet5HoxsvTHKSi9LxFWIHKdvOZ9BQMa6Iyq3V+eI3tHSIi67WuUkE5F2VHa9gePE5FimNrxDHHhKUQMVjIyxHaKgo50H0/YNKcWCYsk5s+4i9OAirmVdVmxXoxS0xxV2yp0mpeabm9NBd4un6glCnJgltve6an3hIetTLmEePhcs3S5mlJHX2u+sfp9t+pFDrNy/LOUYdZUk7pC97jVJv1IDN8t07JVNMtYbPVZ0OFdMrat8I8bRzZdmcFMHnAITHEM2UlLmFmHfmZK7m8TxryyW+1t/CRB8SZcg2QV0iA4bvK+OZGMdlxkdJIthiFv2lDvsQl60tcSM93+Zl5DvaJx5V0gpdstBNXhzz885Z2ynQjblz3VnPqjF6vihElbHSPJff/eQCF2XtHbAn7P/A6PDyKP374Y/Hud/9u/PGf/Gls7ezFA/e/ML792/7L+Bvf8IZYXVmMze29+Nmf/ek4Oh7GxtJqzK/Mx1zDq0GTVis+/fiT8Xu/9/vSt9nWk+Njh1kpvK6rVCrGUHvoG9qVtFBfJVkLrfJdws3+1G9dtssqNDBIIZzEiVbPKOcJWCO2N9E72T9ekU14+UmcpOpx2JSqbk5P4jJRXIDghvFEdytOy0witja3pz+pD92KG4j6j5XsY2+VAzf/uc1uNKvxt3u8FV702KSp8C91Qwi94/bSRmZzhJHxNiR18+zu7ntrOJVGwc90Mf3QPaIjtAvCjFQ0gZZsseJqk2UA5W06eLKi7+3acCfSUjLuRF1n6oDZPLgk04ixC1l+87feFW/53u8PjtePRoOYn5mTCArIJOLKjc24uMEyr4kIGyzMz8TS6mJcu3nj/6PuzaNlS67yzp3jncf33n1jvZokNCAVJSQkawAhYdqNBGawwYhJAgyeMHiBEMbILtOA+cPtgTbt1dhY8mIQBk/YxuDGMsaAUGEhoZHSVNMb7zyPeW9m9vp9X+w8eV9JauGFS9apejczzzkRsWPHjh07InZ8O/r1fly7cT2e9/znF78ZvwkE/9RIMz7+2KNuOClDhiMEDKfVgd5yzmRf53h9R9s90KwSwWUqgGcpSBLaMnMkG35Xy7Bm9cgIYSoYMD3AIjyEQvH7ZXWGR4yyZb/79u3FGBd0PUrNwV8nJ6l7tefNsdyBYRPEWtqIRr3aQoEWO2xiqZv3CllXtjBU7aIUbPxZAUoJoXCotY7uM+CK2lLeiXysrDDdGWdnZ3RsG2bCL5ZdB8aA+EIoDm9Zqa/VaoJV0He1gPNxnZmNO9jwuQW2B6zYedfGqHkCLxZvL8WsQge4PXnniSdvyEnUW1a9+OV/+x/L8WYGi4hrT15XO6lGrL50Iz784Ucsm3C4FvH+D35E7/KHtmbJ+33v/ZA1G7xs1OM3fvPdajLXAdyfzaJg2HKNGGm3Y2sLxdb36UABV9pfJzOfmpmySVVkknLUN7QCY55oW7jIFrzYwi9FGWCIMTgdCFMHWaDNT7rg8eADomFW7bi0lMGdSdmLpaVVb2Wau3Kgvr2IYrbjONkvLa+XoMSW29XlLR37zr5LATdvLJuXoh9aDu0PBlOYbCows32/mNBwdY6MGwZ93Nnb74Scx+XnY4PGAxX+KW4z0lE33RfDzYGcoaL82drTVdCdAcRjCE9IA/mlDfqhgQTl80dWyG2/MXBU1oSsNKyNdGi17xEGBlHcs+yVlfRdM42dDlAcewXQsCksrpXlVRln0M8W/vFRU0YtR8aZhOEfw2oMmGUMMBhLnQ5l2G8HHZADHzwFFw6cKXCvMPrYlcWXhaDXOBWDKwRI4vo6OsI87J7042DvSMY/VYNGqo7ewHkKwFfyHhubGjzb3FwT7MhHP/qY4DhW19djbX0jlm6vK22v3xCQIuXcvLkooMbf/q13xH/+tXfEOx9+OB598maMjk3H/fc+M179qlfGxtpqrK0sC3duc3UjWqMT0ZoYjeZIOxqE0RhrxeTEbIxPtllqjfd+4ANaOV9eXonHH3tSvpIjrREZDOi23b3dgbWBr+ju7u7AjxO8J9pqeYlA5+gTB8/GmLA/qCeqpMOxGl7j88kkh+Dbwjirh2AW2IK/eeOW8tlYd5DabYKqRy1u376tftgeGY3HH39SPqtLt1bkS0m/O+l0YnODwMKduHVzI2oAWu7uxsriSmyt78Stm8tKt7y8GsuLiwqCu7y0qNBLiCtuICvLm7GyshqLtxfjiSceU534jTG1sYHhxoSCwOMbsb62HSvFv/LW9cVYXVyJzfVN+TUR6BoA3q3N/bhx7bYE/9bNlVhd3YqPf/yjwpBDDlZX12J9baM42PdjeWlVGFG3FpfUD/H5AngU9wE+Cf4NH1gpw4iiQ2E0s6p68yZ862qVcX1jI248uSRZW1paCtp1fX0zFpdWgt/XrxNuqi6sLo9Z1v3u2J+Zv59xHyYU3+mrHzBy53g0XvCcy2L25NhkjIx4rxMfEhwPF5dux71f8aXWsiUDBoyR1mixdCOODg7j5S95sRQxr6AQcGKcnZoUrpEGUSzxiPjg+z8Qb3vbL0QcO9hkv9uNHgBl9XqMNAAZ3Iyj7R0po6WltZicmI7V1Y2YmRsxWNdJJ+bnZ2NleSWuXLkUN27cjNnZOSnChfNn1UmYCbDnDvji4WEvtjY3FL+K8jEy1lfXBQq2vb8f5wK020PNMnZ3duLRRw8EiEn+VBpfkPvvvzeefOJ6nD03F2ur6zE1OSFMFGZec/Pzsba+FLMzswJzu3zlUqyugAk1E4uLawGWCsB4++v7ik+GYye+EvgBzJ2ZiI21TmDbba0fx8LF8djetK8PDt5s+WPM8B3Dh0568fKsEIrBGbl2bTUuXTojoDgMOYDj7A/Sj8XFFdV5e/Mort5zLm7dXNKsotFsxsy0gTnByEFZsxBz/sJ8rK1ui67lpbXAaNrephPWxdNmY0S/AUQE3PPgsBcz06NSNI1GP1bWwL2aj9Xl1Zibm4+5uTl1fgAEtzZQsI24cf12XL5yPj78h9ei0epGr9uK5ZX1uHlrLcYmRpC4WF5dj3XRgbE3HbVGW3K2trIVY5PjcenKhQD/aPHmakxOjAez+bHxCQUexnmz1RqJzS0PSntHhzEx2o6V9e04tzAbj3zkmng6OjYVI62mcJY2Ng+keJutiAsLc7G6tCUA0YNeLy5dnI/lm6vRqI/G0UEvdkYPYmt3Nw73QaQHeXk3zp2bEDBmrVmLnV2QgyclX/h8EVV8ZeUosMFXVrZjcrIdRB5nC3dtYzuarRE5xvf7zVhe3YoOgXjrbdFDeIrDA8cOZOCm+64sb8To2FjUm6046dViTSjodkCdnZ+InYNDDbDHHQZ3D/asroEvs72zH5OTo9Fq1uKkx0DGoH+smF/pPyfMrolRgewxcekcnsT8WQbyfa3WwQcA/SYm2gK+m5mdiaVbm3H3ffNqI/ClNtb3Y2p6QitLADRimID+DXgfA8Dk1KQMDsAq19dX48z82QLeyCDFyST8SYi9Zv+qre0d+fU0W/gC1gNQWgBp5Y/UN34Oh07YtsQPBRTqgx4oyk05cwMkCB049e/ubsfE1EwcHhwIYJBVgoiW+tbu3lZMTvAMHKNWrK2txdTUlHxowApjRZsJzMbagVbaR8frsb2+E83GuAbXZms6Dg/31f9YHaINbt++roncwWFX/fiktyf53NvZjeOTeoD83jnuycC4eWMjrty1IMRv9AVG8P333R/IJSut9P/98RMBR95YvB1z03Oxf4Tx0I4PfuA98eSNG7F7cBiT0/Pxkhc8P+ZmxmN6YjyWV67H/ffdp/Zh4nb2/EUB89ZjUxOKqbGxwAA7xrEbYzGIuXkuxibasXfQiIuXLka/1o2d/b2YmZqKvd3VmJ6ZjKXFJeGswRPAOE+OD4RMDRYeMoeheXTUi/GxiVhcXIr5+TMyLkdHO1qdmZmdihvXVmJkrB3Ra8YBTtb9ptD9HWO8Frt7h+ojGASNZltGEfmix2mr1ZVVYZpduesu7QyMTo4L06xe249muxXN437s7Pdjcm48+o1eNFqj0RqrR63bjfnpiWg3G7GxtRnN0fFotI7i7LnZ2FjfY7shmu16nDk3IyNrcvKs+EI9ASbm4I+M352tmJudjimAKFvt2N9vRue4H7PnZtSuTF579RHr2wMmKHUZqzhJTM1Oy4hvtsfkW1ZvtBRDdX9/L/DXPto91AR/bx9cs1nphL39vRgbm4m9vZ2Ym70QJx10y6wMf/QzJwyZGDBezM6AXVeLsXGwvHoxfWam4FfVAuOTKArTU5Mxf2ZO8scEBwsBA5C6MS481WY4bUH8z/z1GTGYhittMfNqBlY9zPnX//pX45te92fMKIyDWj+ao5CKSDZkROA85tWEij2sg0xNTsfYyJi2T1vNZnQ6bP3YUZqJL45o49Pj0eT0AdkVn5bm5FQs3POMaI6ORq1rr34AAsdGzCKACBfXNwU0dvHSvAjt9qZjds6BTSP4xGlyUs+u3HVZdNo9oB90xJnZSRlBgDiOjvZidvayTqAw4xgZacbFywsSpsNrB1KKKEaIJAgos2ZWlSanRuOk043NLaD4e3H3PXfpE8BDEKbvotx+T747nHiZoLMKorUflwBwrHXj/PlZnaICkXbhPMFOWTWgzkzkYFIvZucR9H7Mn8Xnox+z83ZqBNkXcLJaved8SRcOlsiAhFBPTozFxCTBGvsKZLm1BXo1p5F6ceHCWfEJJ1Lk4OIlB1bc2NhQkEsHuqSD9XR6CHTwS5fPyhg7Oj7UoJcBQlmynpufjrl5r9CxgnPcPYkz89Nx5tys+B+1mzEzMxGzAtasxcLChQA1msFndnZKJ6HsyNqLZz3niviwvrEe83OzcfbsjGaNCaq5cEGeZK4AACAASURBVJYAwazYbMbo6NmYm53Uv8Mjg0eOtBpxzz0XNLOqNwi0jJEPbxtSZgtnZ2UsztYNrLmJwRb9eM7nXJEcMghjRCDH5A3gJDLDO1fuQtE0ZOzgqnvlklfbVtc6MTU5FjNTBAztK8wBMzzanTagZ93o34qxsWZcuXpWS2bw4szZtsBex+8+G7vb+46PGP04M0d5tRhpUNeIBQWt7cb+QTfGGUQiYmYmJMf0A9qQwLZ0pehPR6PWj4UzBLrtx1ZzL6bHR8WzydERhVxgKwyjnMGNdwA8xcim3+OkPTff1koxuDsGkcQ4Jw8H6pSj8qRUqPJgBUU+HwWaAUXLdfmqg+3OErS6FnFugeDSIFDjJDunGX460C6cd+DURn1OfNBKZr8X82ccgBSHZdqdPuhApn3JFHVRANUafZTVQOTATrmWY59ug+aRSGfderRGyJe6T2olg7rhUJ9O9fQ75B59SHBVLoBGuRYW0BE4EMMDBwCHjwTWzcMEXtXux9kFO3iPjMxqpelK47yM7qt3MxHlNN6eJk5ivnJrxqWL5rP7aT/2z9DnkGM7JIOXhLHEBX9g7tRUWxPB++++W6s1H/vox+M2Kw6NZpyZn43Pv/se6ZwrV9zXSXvcsYsDwLPUY2//WG7lzX43mqMj0azVo1Wvx9HJcZy0pqNWb8ZLX/IykXqu9ENkr3eCq0JPEyn4deHieclkBh5vj1gf49owMzMllHLJUPTjwsUF6Tg+aQNkg7zOn58v/EaqfSqRZ5Q3f2ZGsrNwfl4yT6BYeECb1aIbOHJP1Sa0agZ4J2CctA9Xy91HqP5sEOzu+mTj6EgjRkErPzyKdpN27cac2r0f3c1jpZ6dw5G+H7Mz03LTyLHh4sWF2NfJOAcNhpZm09tcIJPz26DCIHSPBTGDZ4vzPPwiwgDAteNjs9Go1WJ6ckzjwMh9VwcBuan3tNL0Y6Rtnyb0cy1G5QF4/vxZyX73pBWjY+ykeHHj8KCrwOT1ek/9hfIM1BnS2+QLyj40ohPmz8xK5ol0Ac/wETXPbWSJiZ/hP59hp28sxtMceMc7flezmS/8Ey+Kk3orxpq1+Cdv/ZmYnJmJ133tV8cYUa9rtfieNz4U3/aNXxef9+DzxVRbnbX4C3/xu+PNb/4bMj6+4XXfGn/pL31nvOqVL3MhLON3+/FNr/+2+OIveXX8+Td8kwhQWuSUi/FN3yGMI8OcfurH8tp2/OW//FfjX/1iOn0n4R4QS+qS2M9obNPlpyhJLGVfvMP3LND3Meq62olwWtKTj9+rdlAZHFkCfurldCRx+dUb3jYoTnzaNtE+zaBDix7uqzzKStpgOUYnv4cv6PIqgxRGkkN6NBA11HZe8fUSJ4tVnMWUraPhXFPBlIYYal/zdUAn9S/+QKfSCKvGys/5QsuAuE/y3dU22a63eV9yGLQD+SQfSj3VphWvKAsWMDsyz/md/KDlmLXSDva9U614rEYT00qbJM2lnuXYM8o/B0f2AZGrLN1yIc4P2tWSknnxjDve/oUs5FspaOOsG7eS5jpbv9TVvkPOiQZk+pclO9/MzXlShp01LftkSuphWqp0IqL8oR0s9+V10ZLp+UQ+/dvvljYZyG/lrOr3Ms1wKcPfM2+LLtX1Ba2DH3mzbG1VfQkDT7yXnCTNfh2ewm945ffE9JJtVW6VefI0eZW/eaOaaeuX+JTPvWVhviXNSf9pnls3DN9zH8WVARqVSqQlfflJqegx9Iz1ET5Q1x6/Htt7xH27GYsb20L2f8HznxP33H01Gs3Cm2x3CR35QbfbEWeI93/oo/GT//dPx8bSYjQbrHiz0ukDE1/x5a+Nb339ny2yar5DpQzmgSxUesr6ijKq9jwlU36iv/5T1Y88s3+4jpVO9ZbmnbKVfISHpcBTOQ/r6lKOPipd6D7hNjCbCm/UECcRnMolTUme/Yt3n9reRe+iGwdyCUFJp6So6PMii0P08rWSj1JgFqz3PtW9zIh3uFSBQTufvidJKlSZtmq8403LmOvnlMrRSrq68TR+s8R/kgIh9E5iP8mr/wO3vSefdffAGvGHH7sd/+infz5e953fF9/27d8d3/adb4q3/+eH41/+4q/EX/6uH4pjTk9EI65cvhpPXr9uP4vimIDD2MraSpw5xwpQLS5duhz/7Tf+q5paktbvx+b6RtxYXo+Lly6roShXF+0rOagFsAZuaAVcUccmDo+3BZFQd8x8xwW4UzkTC4uPr/Md4eeq2E25Lpp7lSCjS+pd58VzlBHGCHUevipjyWX5yDBv0JVwtN4b+Mo4f4eDGOQhjKV0uDMNamsNwKWswWDIgG/cJB1jH2RiujWWqj6lLlKk5RnMSbui8IEnrn8VaiKbAVZkmwx/dgpmSSowFIGdwhmIlGMQ80wXYV3Kqhmw+s4HnoaW4f2S28QO6fCQ5/5Mp3DUHPfxW8l+wB38nIxxlaeL8pix6aCczjFYRyTHaHA+lcMj9NU1o7SBkkCGVl56vciEjKsBA6krPLbBQ7sSW1DquOheYtdZzigTg4w4cQ7unM3G1oSkpuhKQu+k3EA0AyY+PyJBPAFfrCPjlNK5L1yWAR1WsHZWriQT3rKi64x8MoxwI3nBJ2MNmT/cJ1QNoXnS+CCt/itt7LaEiuxT+OQM9T0ZcQ351WU5vCt4iYFs2e+HdPmP9mUFiWLSWMLPRO0jHoCLU73Pizh0S/ZFLc88uYFGasTFKtTgl2SBsEDmpcvG0ZoZNZdapWDp2PjhHvkJC0n+R5SZdS/JNGlxiX7G8+R79icciJENLuepkDjKqgzoxJc7NL0yRGr9ErDXqaCDbVLkma3GbvRi+dZy/Mp/fHv8xm89HL/z8MOxddSJe++9L77iNV8a9953JepNthf7DijubGTkbG9tl5VBCOhG5+A4XvC5z4r/88cfis/9vBfGUZet3ZW4fOVyvPGNfyXe8PqvK/y3rEALk4aE4pBBTgxDNZ7bgXL5ne0Jb+B99keJFJIkIXS+tDd+dfDP+tv+YMlz2vK40zEuX2YQEas6kCIBUy2BeeHiFbeMHZzhNK0M7SpH/Va9ShhqZhEpvMthoMpiLEU/8JXicj69WF7GpaH460nejlWf5AOFD747cwfSxfey7Hfh/O9DOOUFHUApGH6F+v29YR1iSBr8ulS7Mk6sLK9rVV/laeJSL4crrLO4r5WpZIiCeBvM2JLPARW279Hj7k9QZKy8oUQVmU/7N7dUKdaMrWhQxx8SijufD//m+/DvKpfhb4UtMFhM5lnFCMr7jjd8Tfzav/35+Pf/6qfj3/6bn4m3ve2n4qu+/qvjDd/5hnjrW34iWi13ile98qXxvg+83yfdiNAefcHqf+5zH4jRkVawsvnKV70ifuc9vxd7xSGagej973tPTEzNx8te+mJrRo9OAyKprtTHqXrTTYhNBv2octcDR0ldpVrUn4CTObvhtxWd2UzHxKnQF53awizQSXcjKcedXSs2d3ROQuwHe8h5odi9Xw3vzL88nQcP0acM6ptbOASbON0fWvFCaRgUzYbCcNtZgXi244jbFANXvBWTZcJ18h0eBKHx5o3FgZLCsGHwpTwbOygoMJMw1jAmXKstFKhqY75QRoJKqoxOR46EptN1toMjTUIdCDp7MkijyRUneOCBynC+LhsFw2qKlaXpSl7iKM1pKa/+QIf5YTrh5/YOPlUYleTggZPtjbwo74gTSH6s94gheFxOOkm0+qAfGzWZPKjXshyGMdg1isn/LY9oO7N+bG+iyJAn8yD5Zs0MDgp+Jnmi0tK6sZmO4eTblwN+ijcDI3WS/KgvmC/IuowFlYM/mSsjKeBruYblywZhPsSIZCXNgwb1G8gV1BdFjr8Sl9uAAdByl0YGbZ919XfeHjB2wAu3cVFnAGBizEg+ed8+KAxSKW/IX9KOQUX5nPrxc4gmor1lXiX24REyWwZg4aP5NJsH06re1DXLYSBS+xYDD5r29lMmrYI4IJBl8K78VTAjhAgO3+wvlPlAK7wY5o37hbKRLCWv+DQtyKl5ne92CDorMWIQh/5+dDjFVA6TkHZL8lbli2M5WGcY2e99/4fjtx9+OJ64vRxXr16NL33VK+NPf9mXxuc/8Ext3aAzjXZfE6isc+GvY6IVEdZvoVOzJTszGT/8t74nfu6tb4l/+I//cfzEP/jReOkXvEivmpeW/ZSnrmDR+15xNZBWKcb1SUPHN+sKvO06V7pnuH/DDgLwcqkdMfZO6DfmuVpZ27PZ3pYzG1kuhXRpMHmy67560sU4sDRDA4GV3aaWl/1dQB5VsNqC/uMJndPTjgdD4wA6Gb85TtP64tBKT75l7iMek4frl/USVp4Ew2CSAN6mXHCbIMLOwzk75mApRga3chJWok1A6zDmc5p4FkxCj0vmFbThX5vlmAesnrna5Mh4mc+zNB/gsJGfcp3Pnu7PomE+ebEQr3/qUNV7KJ/hKytyZ2WH30m2aHm6xP0Zfm6xkMREvZZ7/rVooqy7zDxpQ04d1eJFDz4/rj2xqFuMH2CDvvt974svevWroo4x1u/Hy7/w1bG+XYs//OAH1fj1fi/e9e4Pxre94ZtjlmPhdQNtQXv+gx7Pimn4vM+MAOFlUPTsinriBImyZXDx6gR+Eo4jlGkR1vyeMxZ+kz7vpxGlQQMIgcGRe/euiYlJORImrzB08PnJi3zooHxykc/E5KSC7ZrXfhPfhmF6DBZpxZC08aa/U/eGeCRatcJFRHQrDpVj7rvO5fQNnSydD12qkWW5n7IBnTjBZv15L42jTMMzG1WmL09gwH+eua9TX//mk9OGCbdAHXiax7pz9ejsmfOxu7vjsocA9Sg36ZuZni41MzUOnlzJA7ROTuKbwMUKwb4cF6GL31x18c7f+Y2DsoDp9NRO+6yIOo3zhnbqJTkA+2t9YzDLJRnvcgAgFWCmzWfcxx+L00G+ZxlrEinZml551JsNDd9u12ZMT07KQXM4v8kJfKngrXIKkJn5oTSKRj8qvwMVVP4Q2Hn4AnSQumQaBsVG0yc3s57tkeIQQ0KVBc1pEFb8y3zJa1iGoZl7VLCIvzMazNxdh7HRcQPEFj2m4KmqHxpe0plNp0/qLmRmc0HtYJBEtwM04lNI+eonVeEiNXmpqogi0ym5ZIDQqriN8dk5/AhTjvFH8m/pEhCfu13BmkAYoSIwXvtPGVjMK+dTVj7vmMROyZ+G/m2DQINiYTH1Ie2xVnIBEHQbHB7lRMAv7u1tx4c+8Ei843feGe9+93vi8LAbL33xS+LVX/KSeOYz75afTp8QOQUNulhrQq3OOsKq7R18MKmzy+me4Ktjw4HgR1PTjfjcZ15RqCJFYhrSHykL8McXOtmrtvkMXtEuWde8f0Z+V+7rlM9lUNA0gOpDALvqAeJJvku+DOoEnnanYheiHpcunc8iVK9K71TtktEZst6C/xANll3pu8GkFn+7kVhYOKdu4TS1aA+Bx1IuhxMksPyt1eQrysEmEmWaBD3N34Bq5j1e5Peo6uMq4E9U6Tfn47EiZdSTRPc76od/XTfwBaQMT0Y5rUngYk/SyBm6NBkt/SF5ST78Iy3+ZdbhLov7HIawbGQbDVj9tH855cOURA9TwT1dMKJUyve4nwz0K/mumTacy6f/vcqbjmSHzn/61p+Xo/Hrvu6rrBSZCdf68Qu/+CtyWP6qL39N/Pf3/kH8xn/5rfiBH/jeGGl5sDzp9+M97/lI/PK/+6V441/9q/HkzVvxH3797fFDP/DXoiGDrxLmT0Zh1umJG0vx13/wB+Nf/Ow/K/Vm+4Do5hYQdx7jpdwZpXo4b/J7Cn/IQmw2Pcy6cSaV1OMgycBaJ2yBHT+TpuF8WMZMp9EsTzPsoeV6juEPv8PvahDwEjB58i/LgE2p9LOOmb+MxQJ9IBRvrVBwTNwOtijDrG/mV6UdVHpwa7hcbvIbwxy1ZVrtTJgJCF2BEVj03hAaNcyEfz4+PD2Nc6rl9fbtpbh4MZWbw1+M4xdXyoNOtuBwqkx6MGgTqTjLvvOT49zDbcZRcE4GaoarvsP2zLEUgjRgn1U2nIjhN4rfbW9+QbsEYsA/l+d7eqatp3QqTuVtXBYOFVTvO9+K3r7gAaizn4CufTyQC3iNcmKrb6yg8MLg/YPDGBeqcpVT8ifvUOdh2WeGnKcj9Y78KRiwK8PLcpH1MkXKN/1+SuZPlZ8s1XICn02Pf8MjrYopS/IvKwTSZyjxYb5k+fA9r+ynfo/8OUHHGO328uokdSGvT0Vfyl5+uo2Hy+d70lCVP6DR1qVsD4rTm/wpgyIpsvzsC5mdc4U3TOTKJFf9tCz96UVkMPNIWqgT73Pow+lWltcEp7GxuRH7h4dx4dJd8aIXPC/mOXQhvZHVcN+DwMw3dYFrB2/N64ruYR6WyullrfeX6rg2A74kq4Y+kYHhK3ntcpBu8y3Lrd51mcMyXdg+xNvMm3f5l/JCfbiTjVPlerpdk7f5PPPz7yzP9WO7yz6Fpjrf5TPl905+cN80DdejoiHzyPL5zDSuv9/9RO85TZVvpsu8/Ftbo+imoVVKv3EnrZlu+DNpOH0vZefOth1+6+n6fspgurPQYaFKRt35SZq8l9/vzOeP8vu0gJOyH6tru/Kun9eJIZWi+wjoRz/yWHz84x+Jc5evxOc//3nR1GTaDW6gwHps7e7Hf//dh2N6fiZe9KIXFjduGhiN4/w+kYhUtPTi8etL8YM/+Ob4Fz/306pvCgQZWCnABzYG6TTcqxTAJ/uefMmBdPi9SnCtXIxBQ742QjKtPytBG84DS914TaffHn5n+EnWl3s5cPKdARSfBZ6femfgxH66fK2A4It1itbqnSxzmA6MEmY15K/yB/xLZe/7VVrZ70Vx0XrJp9PpwZFqtnImelpWK2WRuZ7+hL5czTBNlNkrp4umy8qiy7ZfhJWc61Xk63SWd/waphXgt00dDzZd5FvJUcoYGUCDVg61RTwsueTn38O8JV+dKPU8Y0heMY58Usf1S9nKQarKT4QP/8TwB3bj1CTqTv66fpJlBkiN0dkv7hw0nbkHDfPUNFX1S9lQRoU35keWQ/l8T4Vd5bO1eRAzs5xkHWwgFP4OGwqFezIelPPQO+LAU/9oq5ryvDriF1yXpJPP7Lf5xON68uJ0tuDaTE751K2fWA7tqvnU9qWtudwWfFb5DcvBqUlVEnLKYMJfsiZda987oBeOBOfw+OPX4tHHH4ut7YO4cvlSPPc5zwifeiuGf9srLdQVjC3aQQN9EVwZm1h7pTnxKRvVqUt4Y0DW4VA0TJDqtWaMjHoyge0G7AQYSFyDeg3q8YnrPMwbaGOSy4nkU3lUSQffINunhj1h9eTHjMUlwhODUhlFFNgOncgsOfgdysnGAGbjQCeLbYiyBXyoE7tZqMcBn8qjLTH4tza3Bn2XrNji0iRXRbvy7C749KZzEhxH2wGoh/VXlsPq12B1jviU+8damSpNNaB5mHfkM0hTepHbOXOtxfraVjk5abrsn8gkAznnPcu7xNWv6FQv7aHHvEJUhL7Lcn/HV/UwxieIV1jxO0t9uj8tfZ9GqVkhB7/1wKnayS9AzjjKhcH1VI/9NPIefmWYKf5ei3Nnp2N+lhm/NkjFOL7Dvmc96954zWv/VLz4Bc+NZsOKqeqXvNHTMcov/d++OF7yohcKGZyEysvqMPvwMBl3fLe/j1FJ7WfROXJD0jEQQPaqAdnakwMtgm1cDy9J2uGPDsEyrAdEo8Hi5Or9ZCMy4wB6WI5asrXFc2buABIicGA58Q8MFFbZ2L7j/upKtUWH8cFzAO24WInhSl8Jon4jwNzf3dk3uuphpwDm4XfSj6OCSsvRdju7sucOdtS+VkYICIw/A51/f8/73fCCziucj67rh+LzlqMHf2hHcaC86RAM5nIOLp2Jd5Ne3sUQYYtpY2PHYGhs321tq97g51gD4++0I3A4jj1zPfnkk3r25LVr+m0aQiCNiSCOrw/4OQCDko/bJuLG9ZsDR2+2wACTw1cIugDkY8ntxs1bOhJLuWAuAQ3BoIBfG0ptbXVHwWepK/VbW91UmyQdbOuB40W5wAk8+uijMjDpUwDs4QtH3jYg8I3bip2dbSH/ss1AIF8Gs9u3DJRoJ/RaAI63o/YFMHFXKNKEccGO2JGjbcS1azcl8zb+DuV0DPQD7ZFttbK6VvhmFGHqDl0oThCJAbe7fWtV7c/RYJT70qJ/oyiR/xvXV0QjGFn7u+4PkssTgqam7PjgAWnY6tjc2JfzNRXnt/tW5ddA+VakdtJGJlmB5T3qY8wXnFh5j9/EE6SPFg2Nn87hSVy/tlhOAbINBfYWbbcvxZ1OtBsCeqQc96OD/ePS33wQgwMFoHRTBv0fRY+sWCYJ/l2LlZVNB/XlbCSAmofdePyxG0rDFgx+Uk88vug6nBBouxd7B2BR0ZdwsIYHAEluq97kQf35TF0JT+woa6MJGeIeVxpP+wWk0vegtR8rS2zvmlpWGfm2t3MstU7w1cc+/kT89u/8XvzHX317vPNd74mz5y/Fq1/9xfGFr3h5XLlyXnWWbK94C5iE6NX93T3lAZ3oF3iztcHWHv4yxle7fWtR2zXUg7ZbA+9LIKYGBHa/BzfKjvX4/+xsUY6NR9JxGQXaA2lVZxthlax4NRBe0B+rC8fr47CfJvq7amdo5zdpMGAtc/AT+rqxs+MDJvb1QXf7t9unpxVxdAv0ovf5B34f/Aavjd2P5ZVtMZ+dABzJObCBjLF1d3zckb4BWNJywnFBaNmVXNAfaTMw6cAgo/35x6r1fgmkC03IEH2Nizrw/XDffZGdDOq/trYVO4Dq4vmCf+zuQWyu2w+SsnFnWl+F9/Qh+ltHQKrwRRdo6Mc4myOXdgQnH3waMXbgocax45NI/Uw6yqdsaDSPwNE7FjbXSRd8KIQTXlu+3CZpiaSsm4Sn669N7U+nNILN7u7Ff3/4XfGs5z5He7a//Zu/FW9968/GaGs0Xv5FL4lv/OZvkoCoSp9o6+nTKeeTvGPlQM78cwfhHo2BTxNXxUpnwjM6cAo7dysj9c63nebOv5mWMhqa3dSFZMrsZ3v7MM6ec7TzXJpnEMaXg3exyBHsieZY1Mt2GsoP+qEdUDFmYQddhwnhFB7HaQHJBNyS7TPeI8/szLyDcB7gsCk8FvuEpN8V9LJ9hKN17lN7i6YW3noyWB3cwpjD5wWXBrBwOkcn0Wzh3M52knFg6ATgiZBvs2m/IoJg1pu9GGmwFcSAxMyppVkXPMc4mJqc0vYTvzE25HdR6xWUbRzB9+QHkMFzMQa4cuuLdJRJ/YWT1KeT299legbcJWY0GBxuR7bddPqrKL2rd1/VCcPkQebLibHZWW/RgVUEqvLFixeVj/BrhH0zrS058p6antKAOTPjNJcuXZThyf0xgmUGoI8dOUnS3pPTDlrJwDMiXBe6WE3GKysy4wChRAT0ssWh71NTMT01JYMD7yljrIDTYiA6Bg/j8XDSyYaNeQJvrUymp+0/BN4VChTtNzUNBk0/NrY9s5+eMiZRa6TtAwxCmQdkc8dbhUP8z+Ch0Es7oNxmxDcwgNqKtD4/j6+NfyMnjlrP6SKCora0HQcwJPVvtdmutpGEPMnrUMYACrah/kI9GQRmG2PqqMxMSZttzFf71ohtgxmvnHSlAiwL/R6rEj7xhvyMjrVibX0z+jGh9aX2SEMArp64QBtgkmyvI18OEMqnsY/o9y5ve2dTkQdIhz5AtgAHhAdeTwHnC2wqbw826vTF0QAPB3lmVYI+JNynvoP7wre5uRltzXplDEOrE6028sZlfjrwLDrDNHqLzfW1Lmmpr1AOF/qI+7QdFzP0gyOfdOI+K0DTs2xne9tbdYX/nf3YvnkYH/3YE7G4dDP2Do/jwvmFePkXvjTuuutCdI/RDeRoAGGAK/GpzG0j6g7OGflygdnGuwCYwijAH+mid91zKepN1knJrCcsNba0SYbuPN7H360uIE/ygdfIEs9TBjC06INZxyyT97nHe3zmd+dTrTYzINPmtAH/mS/IA/JpHpHG+hM+mqej4y0ZTTzD6RoVlE7R0El5lQ+QyyDtPfeC89aPkXZTjvOXLp1VWnGh3Y7xSfC42jEmzC4ba2Db2c/P5U9OTwpLC5nN+nhcMr8xcMCb4jJ2lF0BdAMsqFYrjo9YkaqG/kuXFuLwaJ+NEfF7osm4ZR9T6YFaNyam3I+RG3jGaelenzx8SAPMNNrVMaJxRm9Go8nqktdk7PMV0knwGX632u24eGlusMUN3zCszpyZG/R6donOnTNOmtKlgNMaRcaybk/H56fckqsIYMbSjx/5P34sfvHn3hbf/9APxrd8wzfGV77mK6I9eyHG2/V45EMfjH/2lp+KBx94AAumSvrH9A1m3skg7nHdeV+NKJa7cL03WDpPgpwWQf7/u0h/Y3E9vv+Nb4pf0JYcSu0kDnb7MTltZUjbofAxiFCK0MBvOiUDKbMIyVYuV6tY/uDIuydwSlnUeG6d9KTEs37Qx4ywnlswim+E4sqObcMx+YDSYtVkdvaMwMfIB0G3Ii/R48U37pE7isqKxUrBM+bMj0/ZITVQpNfjzNm54vCbS6yuq3mQ3DzdXqYh83UnyoEl24By4AGfKrO0ufmAoYmyM81sT8BfLpeb7Wl5wElfz+SQaOWTCtTyIa9gKXrzFuWqJCqbARQanLnvQwd5QCMI5VfuuqAZI7SwssGWrFYutazclcOp6+320cnQvgcF1UMwKYYUkMIujvWmr6Il80h/Lj/hra6cgEF9r9dZ1j6K6LfNO8mb5YuVuIXzKCHUT02KUU9UX88INVgrQHB1aMHtA18cY40Te5aTDGpsgEroyfYafKeduglUhyx48Era+cx6QVfyXtPckt/wuwyqvG+joioPepAfHg3koNTDZbg/gVYwNs6qtAdCZGfwvgpyPnxVuw/R53KHyMicNQAAIABJREFUy6Q8gFUPFI3ddVfP0UCQ6ZGTlFOVJbPqtOybB/CmTKQiYotYhUR5vyNYMHmghzP/pDX5qGqUP6fvWX8jMaxOqj6D3TEkwatjDILv+f0PxBNPXIuN7Z24ePli3H33PfHsz7knWi0GRsuu0iefuC0/mORrxUfTgB+Ot32RAbVXwe9ymxX5GhCfZTj+H0am+Uu+VRsMXi9f8p1h3iSdmY5PLVrU6XhZjn0kkTvLoHVKBIdo7Bt4WlZ4Xk161W5FP9I+Wb7rbhm3TkVmqANpuey6cXr4seGGKHgCnq8mve5DWVflQqFFVsvbhV9Jo94quj+/55v+hC7Kc3tk+yUfqINdAHpxEnUAh2VcWqcqxxIse5gupMLPII5g6+goj1fuyyV/+m/R4+KJ0jmt+TY8LlX1N+VP/9/KzPwUZcPQtbWNeOe7PhSv+XPfEl/8ilfGIx/8UNzePIpf+MmH4vIz7oqH/saPx9v/2+/E533eA3B4IDifIttP+cgCl8LgxneCbFBkrmK2hRGBVfFSAkWWlMwzoJKDe8YfgUa2BzpaaXH+tWjU2zExhdBAY9J3YuNIys8dshqkXfZAwUuJ2EJnpcP1hW+NqLWyc2Ua5iBZb1fQs2F3yFKd0iFJUyurJny38JlOBJbfbp/kGb+dR76bHZ/fRUjLwRvCsPj9Um/8tjSQJt9Tqfl31R7ukMP8kHExpARPt3nSkrQm7eSPrxjPbUDlIOoOxzNWAKC7qv/pzgzt8FH/axC9k4c5wGsuVHxvpFQK7y5fuVDarCgaKeFsN9OcBo75nLIKUZ5hqQw3sWgwNVnf8p7q4JfcGzzQ58Bp5ZWKpC2+KMq4HMltFCaSNVkxlxFCwEAGyLvkDE5QkQ/fK/e1UsH3VJK1mJubskP+wGAhd2hnckBd8XFKfvAzDTPycaXc/rwNndxzeS6H/lOlH6ZHrVoarJJht4NrgzxX5QCcOD7QdFmHlFfTXckQ97kHvfCVvp1GTraNn3n1hC2jYsiXeg3k7in6qfg4qjldt+RVSiK/pydZhQQPy4NTJZteXanqnLT6E36Rzs+Tl8PPqvfVRKKXLY+9WF7ajmvXb8b1a49HrTESDz74wnjWsy6EViXJVaLkvLNvDIw8tZPf0QkRN281qerRlu6/2S7OL+nJtnbswqTfq8NZZuFXMkM8rP4kT/LTvEhdlDzhN5XhD3LAumA6w1f8cq7VxDLbpiqteneg34r4Kk8VUvhRZDrpsizBTPPD6Uti9YDa4JS280rem1ds+Q37T/m3hTtpcVmm0exy/m4vG902XswfTaQGQYpJ51PX7Dpkv+sJzNN9W+WIGamT3eDu43kP65G+QX7V5FFyXfijLJy0sNY/su1Me+ZXyUHVDk//N6jRBanqvHmDT+k9ntTiwx/9WFy661z82I/+QNxzz13x++/5/bjn2c+NZ95/FdD8+JJXf1E8+jH8RoqQDufzR/6OYqoS0dn8u+Iu3xiQ8oLJmcbf3cGqd6oM810EqxLkzOn0Zz4HC2Jvt4ARakaGP4KX/eGP32saeC9PT0hYnF/SD8n6XmZZMJl9fT8nH/wvvOecs23ypmNUguQwDUkbJSQWUpaD/w/72bRppvP+Or89wBpXxiJAOgZSTDMrN9PJVgyXy8LHhWX90h4a5Hzs2cLNQGJakg7S5T4/99yp6LSnV5JYSk463amcr8sm+LEDizpfVgqaCgpZ8R6frL0S9NdhXnjG0XznYdkhCCc0qaxBAF+9oj/cTz8j0wNswBCIm4K5ngwC/5KIFUF8dJyBDYOdbZxWK4WEHwx14MLYQWlv7xCPDKUEPxtlCy4NPbanEifH/Kdd8OfSjK8YGGvFDyp5x5L27g7AiEXee8QOWyaD0p9rsba6Vgw0qGnI1wnZsBCSDp8w+yzkoFiBKyIv+F2lT4N/oxjxaWAmKWNJW8mG4VClo67Tk4llRB60Jf4cIkwvIV9HxXhye1GvrJvfS/+c1AXJL5fC336f2G20B/rBqysbA0wy00tgWvFEyerFLwTZrvLd2aK9Ch/l85f4VuSB8z8+HLQd7zidfDjKai0DEXHH8gKTCD7Z38x3+726/GFSx/G5slyO8quNrZXZNrU+rvrNMG88IUSfVToRiohnl3VY3/T2LYCT5Eponvf9wWPxn37tN+Ptb397rG+uxNTMhXjNa/5kfMGL7pexhA8jF/lTTVAHUheUGhR9RWl08IQ48Xvqazrlah8fpwFAEr7AN+jFLw5Zh69chPg5Lr6cvIZxQ5rMg/6LP46DFJdEha6SQ+GDafU96nB4aHmzvmJFO/013X4up+jfojvhgfJRe9iHiXy4Z4OgVvwRnYfoFzxDUmY9gE7Oi3LwK8v0tC3uGzao/JZ8u9Y2i47wvYG/VVmpwhcSnWAZNCaegXeTFlbqDEaKjoHn9jNyftBBXdiC84V/Hj5llnWtDgIVg34r8Dnw7vjIgJ6k4TftgSuG+4H7TL/bULxG2pVy4HX6OGWfcTu4n5IWR3h0hPO0DIFX97/KNZh3qcsXmU/izHIqU48ae8hjo4rxQ21+7+H3xKte8XIttzb69djcXI/Ll/EFSQZmLv8jn5UCqlK7Earf7sTDv90Bh+6UJFYmQ/f/CF9pWG/ZRImPRiejJHx+ejEymoJpa5pOrThQAsNras+ffW46BsJ3clJTjCQJRNlKYGAca2B2+gKBd2zcAxx3MFJwBm1O23+BbT8UzNSUj8PTcfH9YK+bfC2cOKUfRLtNkEMbCDmrcEfP0vypdOzlN6py7ShrJUaeCD4CPTExZmWBZNQa8mcZG3NnpFPgZHzmrGNgkTtOufh8pR3JPW9XpIJ0x5BSGnQ5nHGPo6F8rUABemu1iT1loyOdcXVDcmfgNn6nArGCKcY0Dpy7+/IH8nNm7DmLcjtST3f6zNXYWryf9GHcQT+n90mFEjAIKEnJj8vKFEXCO51OBftgow++eNuwJCiOy24rysIJfRgGgnsoUTOSQS9i/2A/zoRjuuVz4wdBgetNUOIeviHiEXfhe9YHYL7jqHUa8jvIXgbdHsAoxUaL5KjwVv2il8fsMRoxcHloKBBWXQ72ejE5aa9ipF/O2ULLxpIkt77iIuLTockBYHcaqygz/yWdcAnq6H8dTdBrJX4c9XZ7Jq09B84VB8xdDZQz1Nv5YuT6bacFq4rDDeqXdbZJG8Jh6kdLG5kUSD+1HyApMcqpcGX8iz5lb37xDNmgvT1x89Y2cpv9iWfNpg0Y1UOze2SQgc0njCimV2AkyJP38ko5lpSVss1LaPDp1l/+N78U7/jNh2NrezvmZmfj/mffHa997VfGO9/5B7G0thHTs7PxvAdeHJ/7nKtS3nPzDowKr9L3xOWW9tU2t+nwYOj+ZrIsN3QjyJGsa+Jwuq8n/ehFVm7xCbPxUIyQAc8ohy0h9AzBknObrC4/HHCg8kpe+LcludIzcAgnb+L9ediDj9bt5bd0Ngwe9AJN8AZYTrqPdUBcNhvK0hcKg8TWoSeivd6J2q5tF89Be0FLdQEACu2lLTWZhHdqAr2GfLm/mx7o3cMnFr+5IgejBfrD8uR2sFy638ATrepTjgwbCWxFhuTseDCpRa4px36GTEx94cAdfVY+yZc+7UMZknnRwn3SWu4sv5UvrAXBurWSX/s1Dp/w6xx3oy1Xk4oP1q1JyRDpn4GvA4PpE5UtEstA8cADz4uH/taPxD/5yX8S5xdm4gN/+JH4rjd9XxzsHcV/+fX/N972s78Q3/3Xvqdko67yibL8I9z71AziqS3mT5FlgfD/ZG+c7mBPfSsbFoOrXsfRryzjogA0iFDP7AR0IPJw3TO4LGBd2QkYqEDbJRRnjSC3xQixMk2e9aOpjsZv/jUURZ4ozpm3lmT7Rmg2HREjUgKJUI1z8djgxFPWzAYTecK7/gCDKZ8PHxvlHu93GQD13b4P6VBYOKABpnIgLMoPo6tc8JhTFYn3RDoNldKuHqzgM7OgNA5s4OInlsrQIIHr6zkLsiLGEXb4wkE5gSspl3zhw+AiCOvZM2ZjucnWZrYPbcl3gEJ5KRUgDuOWBerlfCmbeihtwMsc9J0x20BcObZh5Jq/JY/gdw7gfheFmjJH2jRwnY95RXkywlBMETE352CzpON9g5NSBnHL0JD1mBqfZMpjpuHMTCBkDKJC3Pz8vPzoTIXIFhyFFGNRkAlPkXwlMGZeDDpsk2bAU9/vxtmF8o4GGraxuzEygdFfRgUOPhDUFNLkAxbRGoUn8ioe8Jy6ua9Sr3406hgxfPflZ/kLnuOYiiOy+UtA6TPzk1rxy/aYmhkVGeYibKoJfkJ5yTghaKkd+J0zjsmzRXbMKQcQpp0sE7zXLM604lN0FXRUAxirJwo+2g+c5aurrzZTdSQaBJL1RAhfSNPbjdnZlHUGpdN9krzU1KyAiDROE3MarRY//3Nvi3/+tl+K7YNOtI570W9cj3d94JH4rXe8L77kVV8Sr3zFK+Luey7G1HQ7QiGFctVE5nUxUJBL17kNfEDNBim6CXkcG/dEDV7SJ7xlBCmVRHF0fCC3tXqMj+GG4NUyaLeDfbazHb/T7cCGcbcEkaW2lU61XkEH09aUV8kFb6o9kS9NWGlTb3fyHu0G/TaIciLRj9GJnPSQsK4g2sO5VvpOJajYM2cJdMxb1CEPd0BXZTxXjuBwph1TUz767/bjAA4TUdqWunAIAeBKG4j8ZrxbWLADtMsJ6TfLCEa3DzC02gZUJV+u1COSSXhd8NQwIOkjE9oCLi8z4jRqcfacIV7EPwV3pi9TRl354fjfalWTfFYBCcLti3YAlw6oCcsEYx0uTPhaDl+VseS2y8Mrw+9Mz6TsI4c2VIefP53fTzl9V4qpIiEbEFb9xm/+Xvzyf/i1WN1Yi9f876+N13/tl8XDv//u+Ps/+db40le/PL7t9V+vpnZXQdiqfD4bvw340Y94/Prt+P7ve1P8y1/6mVIVaTcbTBo1s7JeiaHycoa0NA8GXyfOdz2GUY4G3wHDynMhltN56Hh0Yg/oqbwGPOX14R596kdV1uD9wZesgwcZd458mM+sALibA6jfIF8rhEzBZ+Zh5aFU5bEVh/PQmyIa9pCGf6fTZPkluT6yop+qThUNMMX5e0BRqSrHbXS6vIomMxO+f+ILWhkEGWSlEE7xvkpzqk4i3S+ipCQbAwX/1PpA21P5knlngXwO00l7qBGKPJBv1UbO0wO3lGXZ1nNHLf21tIf7PelFeJHPVFbwFcXuQdWFWk5P1xmjzQceUPYVvy1vkueSh/2d0DKsWmIUkCt/7uRN3svyqV/yoNRfBHHPPETmrGhNaWFO+ZHG2/Az19P0iiFFgE7Lqbp94RepK9nO170y4jYog7D69Ok6kQ5jQvxU9bJuZfAsVabfayWm+Fclxa4nBNgHLdv5N/7bb8dP/MQ/iIO9bjDd6h7j20dE+UZMT0/Fa//Un4zXv/7rq2yS12pyCuWf+ZhyoHrKR5CBLw0pElRylhnCH9K5fv4kP8uIc3IZ5ofpfur34bIzb+dcdGwxStgOtpE8/Nbp708t4/RzfqGLRafqNCzX+a4NWeonI5A0OuDg+7xl2SgNl8kGn8lb6ur68shjgFKXN+Fp1cfgG9v6OqUGjWRT+mfykYmnfb9KFnqpKiPzqIy+8kyKMtMkIK4nLmpDFpWY5A/odb+r+jur5fCK9s3+7X6Awea+VOUvyi0gn/DZ6Tf5VZX31GdP3x1q+EkuNyrWsoeFiFe96k/ET/z9H45feMs/im/52i+LqPfixV/wwviln/lH8ee/5RvEKCxymDjg6yfJ/bPhtuohQXZjNRveEhM/yn67hKPMjv3+kLKXQMMPhB5l62cexFHmCFRN2xlsbTErJA+2aiRLxZomPUuirESl4AEtIDajaLVCw+oSitcdQJhQ+INQcsmXZ/mcDub7NjAQ6nzmT9MC3Swx+0pFQT6+Y+Ot6pDQp6XnwUCSsc3ciZx30uFP7rEPnxd8ouOB8eJOSP5gUB2eEqv0LaqUILGvDE+Q9DpYKMmzPjyhHmocvWY+mg88cyG0ue8lX/L35gZhHTA8yAefJ+NFlYSDdPk+nwo2qowzf/uyuK4u5+bNm4O0lJn+VpkPTX3zxi2XrbzqkT5MfgejpB7Xr91SHV2vRjzxOEGq4bW7+9r6eplVI5c+Fg30A3LNe8NbB+atdQBlyLRnf0/p/D5pBGWAwiynzyi7c+Shx20ICOJQ4FMUax3/MAL00i8ovRFba/YNESOUr2Uv24D3HAjUBgh94/jYeEuUo+DQIJPjo1Tqwzsryw6Hk4MMAUfNE79FeY4H5n6IeBzsF7+u0s6mqfrLO1lD9adsX61Iw7NGHCmQq/kOL7vH7u/II9fW1n50T5iJe+ZNE+3uIA/0F/dJ3LyOcSEp21TDRgF8gQ6w0IZXqinrD973gTjoEN6oFSPNkTip1+P8wrm4dGUhFpdux7XrN6Q7so+RP9umufLNfcXTK3IDvfAfg3b4SuO6aiP3taEuVgxgpxIftH/Lb2SIrUtWIDJfuxgIn23gm1rFrKQcaCWmHRhb5lUv8Acjn6TD+dLO7l+Uu7t9ZB9C2kj1oD2s360T67G+eiADSHxhGwz3sbJKSp3wE7Rfpg1G2mNlBd9IMPps/CrAculL2sEC40oxHinFbQsG3TCt9GXanIs+iNyCCQePoJ0L1wv7QLrpyHtzE98hjCkMYmR9XfmaT3ajSD6TL753+CyRp/jY7Qd4Ty4XtwbL/t7ukcYmil5bAx+wEycdtxe8PtiveEt4lKXbBFT2ipImhcKwQjeadj48tqX+x2/LkDqUDY/JUzKo35Yj8OpSd4nIz+CfU+tjw41XNZKaN/Z39uTD1ACfhyYvvhl8xTdnY3M9HnnkY/Gyl720YLxYqD+DdftjLLoWneOjODzB47GmsADgU+ztnER7rButZltwAuy1goszOzspvyN8vgBuHB8f0d65/Bnq9QAHZmvrQEf1Gw3jp4w3GnIqHx0bl9AwA8CpnIslY2YOY80RHWVmltFqNhUDiMED3yXAE+fPTKltAD1sNUdFE8KKULI1BXwBuB44NbP3Tec8OjqMNmV1juRnhAyMjTdFC3GLdrcPYu7MuID/AO6ko42DKyMl59AXvW5dOEz4VbGttrPVidGxZjQavWArkYEDx3bchfBvwi+CLSowVIjDhv8Igx68VTw1OgsYKSPN6BwdiZet5lgc9w6EY4QDMh0SZFkwi3ByhCcYleQJujfGxtmzZ+L69Rtx3/33xNbmrvBJFm+vCJEXvjDIs9XKahH+YADGgY906+atOHv2nJbEAYbb2+lou+kAQMGTgxhpj8fa6rbwfWhfDOmtjcOYnR+RMiJMDMqFU1S9noOVouQ2N/ai2QSvaFS+YPiYMdNfXV0Tttb09IxAL+1obzwgwCfBU1pfW4+ujrehUPviE4MD25b4dtGmHEwQX0dH5VRLvEH4z1Ygsre6shbnzp2Vk/dIe1Qz1bW1ddGAjxw8WVpaDmLprW9sBJhTGxvr4gP6AIBVZreUASjq7t628NiQCcX6W1qOS5cXhEt1DBDf7lFMTY+pPegXZ87Mx8b6phCeOZJ/bmHOAYnx19rHj6IbW7t7cdDpxdmzcwG/wd6h3oyl+M95QLIO2lzfFf4NA5+2b/DZqTe01ciEoh/UG4MW4EH7IuIjsb/fEQ+uXDmnSQODGzhFOJyDwbO5viPEYkAOx8aRr8Ngi5W+xufU5ETsAGbYrUetwbbbuByoR0ZH5fh6+co54fQQtPXogEEHTJq6gEx7QQT3TkxPjYpPtUY7Vld34uy58Tg4OopWoxGdE+JWWjUTFJVtvoO945hCVrsOuNrpHGkrj/Y9JtbcIYj2DHb92N7diZNuPyanpmJ0fCyaOJYf7sbC7Fx0+wdx8/peTI6Pxf7+rvoRAXeREbba1tZ24sKFWfVzcHwWF1fi8pUF+ROmHkI3gbEDWjdbKtvb+4HfE3hkaUzVG0ycusKsQzY6h72Ymh6JvX3CM7VjbWVb+kqgvTjH7x7Emflp6QgOAlDGxvp+jLS7cQT2U7MpY6g94oj2+MyBFH7SBdurLUOCOqCjGo1RAX9iDFA3tgiRLfrk7m4nJqdG5I8mv9D2iGRvapIgtsdRb7AqaANFOuKYgOkHMTo6Fox9TNLarfE4It9JDLSiQ7psnfmgxvGJV/qMa9eIXdKPtFVHtt3QecQ2xGjHiEB3AVaMjjPYJXAcjJ8chAEj7ETyhJ5nsjbSJiZoR7HZcJDmN3oIPdzrOgYd4wbGFXH9iJuIzgAAkvGGeml8OeqorjvbTAxs1OxsE1i8FevrO3HXXWc07tWO6wK0bLZGhLPEeML4xyEb+sf21qG2ZWV91XyICdcT/FbZrqdsxgbGHPgH9h6GEwam9OiVkeLnSozRTnSOe9omRA+OjrajdwJ0j41aaD9tp/wxDvOfRlanDCbvaWqIViWrZVZOyT0av/LvfyV+8K+/0XugWtloxOb6avzqr/96vOWf/Xx8zdd8dbzsZX8C/oh3n0b5/0u/ko1jUcLnw87G7PHyD6doAkW6ARnIctYSMToyIuVup0kzpNnyYMOyOj4gDDxa0tVj+x0hSDgmclEGlvXRYfEZqPUFeoZhhkHB1Wq3pOy8DGvrn0GfGTaDNLQJfEzAee4s+Lmg2PZ2AapsaK+52XIHlsKTH8+4TjzZP4U6WkFtbe1FrTZWHCdHNT8kuvr4REPGCkqI2RedCx8d6owBN14HdK4fU4Q/4T/hJMEH/DXKqkatNxQSArDHY6Vvj7Q1+Da1UhdKQz88OLSvh493M1vfkRJhUDu3cE5TsHSKBHiS9uQfih8flwgGLZzY2SPvh8Ap+xGzs/PFn6ovAyr6u/IvGJ8AkG9ahg84pIASKtjtjkHfyGNS+DleTbHzv1dwtnd21Q74mtFKk1OTGjzoYxh2CoOwva3B2H4ZDNDw1bShZJDDzQ0H31Wd+7VYXjmUsWJgSxucMq7HR2Js/KLa/7HHnpAT54WLC5IZwC0npvDPibh46Xysr69JSXLj/Hm/M3aI7xf+NvaRwpCdmTUgHvfh9ZUrl+XkPTmF7BxLybHKAbDl2OiIjDT4gwzOzhEYGSf2toxeJhG0u8AsaYlx+k8zdvaO4tzCdDTlU9SUDNTrYEshf/ayxxgiLdAGdMp0uucdZIsDfy2FvwA8lkCiGG0+1ddu16PFgEPk+Lrc4mUsIbPj4/iUhEAUaRcmNlxMEKgDq4Rz8wRD7clIYqZOkOt+nKh+0HRuYVbvtkYoh4mAwzrwjLpjDNQDYM8RDQb8rvUBfa0b4Db6sbKyFXNz+KrUdQKZgRVa5Bsk3zj6NPzra7JDH27EkcBnlzfX44knF+PW4ko8/rHHtPk7OjWmSdvJ8YG8VmYnxoO44YTLYRO0SdzaslU4W/xFxuWXVFObSoeMeGLHtpcwePGBLKFN7ESNg3hTfkHIAkYSEzLqzGDX0Op3xOSEfYjoO7RFCCRS3AmMLPhPvwFgdmKiLQNqtAHAL6tO1nnpD4lxaHBYym5JDuijXOkTJR9S9HK9FjwDbJiVTfm4aTW/OHDX8cWina3HjTOM/qrF1MyYASqBfJieKqe9kBXahPeZ1NI7XYbHDe575JiaMpAnEwQqOD1tv8pz5+aZdooWfMOOO4A5omtZce0qjAu/0Vcjoxhx9Th7dl4BjgHMJX9WlUZGDD6MzKofjjh/8qRPub/0B7qWtgYyIHH8AJA8ObY/FX0c3cokDEPdYaWY7I6rrrRPgtlOEb6nFjE9Ay1MTnxSmJVCDD5sHPuQ1gr4Z8Q8foAC0DRtd109p8mMaQVgtakxjXKa5SDR6Bi8NJ+V+DP45w4fpgLWV4ij4bn4XNvei+/8ju+Kzu5e/L2/+2PxOc97Rnzove+Ph/7O343tveP4jm9/Q/yZr36NdlxJQyf7rL/cB1T/jz16LR566IfjbT9H8F0uoN/pUFg7HhRhF8rBS8v2n0HwHZjWypdZl58nf5ito7SKQNQiTjpDv1WWTxilgHOLZUuEzE2EwUGn1cv6w4oNMyWj1roNq6elYgUYz/dtXJEfbWewuSpD3StIrFJSxQnUYIxZlyyBdJadvKPfvJbp9EA39M30F7rkvph+PlUO6p3lp5XSneVKZw1miMMpP53vmlmK7pzFoKCL741IhTksuzuMTTpCM2izipb9BdE3fSg+6uR65WJ1xZtS/8xbJswnqNOAeFYckTU5T5R8oZE0ZauvLLPL0FU/5qj+gdHSSz6Cj9DrOCag2DDM05h0m4tsDaIkSpry07P88bHR0sqmQU/LFlHW2ZMu8uQp5ozlUrnWCqBdGSBUN9GYcsAPvvuyDPKd8k7LmHnOs1KOtgaZkHgb3PlUaUwHvzMvktKBnd758yxpgUcMWq4rJXFqznHJ3LeVngeDPDIv8uBf2XbXSSTyyYvG8Aor9DPRYQA27Vk+n9VV8YKcmalvapX5Dz/8Ua38TM3NBIbmr//nX49HHnl3TLWndZgEJIReZztm5s/F3/ybb4rPuf8e8czymvlT10qG2caxY7ufpy5InuuT+g317VPPLEyFlZWeqXivPQtN4ry9RznZNsl3JpGFzyIj281tZMiG5BXvwnv+cfFZ2m3Qxrgw0JeQe9fX76aMZpuWdlGfK3mULL3tRJlZrnNI/pRfel6113A7nk5X5TMsN0k7hpTHFOdbqiXaXYfBfR7dIatV3sNv3Vl+eSbgV/rNEI91ECLfzzqYzqwv+hNeuzXvLIffbku+pa7U9yGdMKBTWWd5/KguyvtMXUjl0MXP6lYSxueZmYn4qZ/6v+LBl7w4vvdvvDn+4d/7h/Hd3/dD8ee+4XXxK//uX8af/eovkzh7wC0yNJTzZ+NXGl4NyxFK1JLkxMKSsws+bbWgCLwqZMGw0OpIZAF2RKEyW/BFpyYvjK7kOVqqrmV/v+Oy+M5vPmLgAAAgAElEQVQKkgWSX8yYyCdXt7jDVb2PccVKC/RbGfq7XktFUuiy/FG2pNR1HlJ+zp28mclxmsalKZ2+8zv/eRXOtGBgJJ4S+ZfSB/cY0Ejn+ER+7rzhPbOlil72t+3DxAyJf/gSkDzllMKODquTdKQ1rEDJBipZMi6n76p0fp7cy4Fq0P48TtrheXBqzyfApDR7w7xFydigtVJwQvk5qWr85h/+O6x6JN/rA3wetwdwEhVuizLVKseek8jpGrTpfbWH+KCXCOKb/kjc8ClFPXJzeNVGhbhseAKv4YflpWQk0jlx5Xz0t9SB7WadtNNDK2zXNOvnqpWc1MZsEWTduI9C7h6TNhUzgUDTX84pWcXlcdIGMfhPeAAURVrpZdDTL6rUdwgfD2jOh+3KTCM69T59ln5kynk/25k+zZZTDgKUP+zbRa4+1Um5pc4MXsUHxaWytcxz/jlvGeVpQLDNqRh3ppl81BaspMhvilzgDTLrHHnuPPybVa73/f4fxu/+7sPx8MPvin6tHvfed3e84qVfEK9+1Yvie77r2+Puq8+ImyvrcePWmrYipxfOx1/73u+O+67eVchEL1kHGbGeQY8CHbmg4j319Natao1xXravzDfTCr1P1TlF+NTupVj4gqFIrtoS5qH55dVxaEImbQBxb7gN3Y95x4M7227wx/x2Pl7Fd3lo8Vy9x9c22zpX62XwArbYTfliV6H46pAdtcWPDDp6LjPlGdlO2sjYqzpqOaWBH/bz8zhBbuwmVJcDHQ+I0gP8Nku8NvGUXQF+u26pr9n6czrLKH3ZuqfKnW+0I5cgAnRDPzV8if9qc8se0ZUks3qFleA0Qp2Gsqt71IlYnEeeaLsYvaiunfSq7ZENnPN90fezj1EvVDOuBm4b3iI+K8R4MSfr8InqV7L8n/rhXqIiSqcfLs61lUyjTM7OTceP/O03xeUrV+Nf/5tfjR/64Yfi677yK6JV8+kEKsN2ExUv+ms4t8+679RHDdSvRbPejE4JBuuK1GNlc7coFu644+MrY6VikUgnNwl5CZXifPPYM06ednxTWez37iEcpKB5+tE7qQvMy6ONlawD9CZLWUVAqNwZSYszJP+GLzsSVlY+Cka6u4gv2ykYC74goCtwNUsveQOyB5CdFSMGBWXhA+I6cd9bF6qv8iXPpMJlU6YNPg/Q5Ktl9uLMyW/y01Zi0tZlC2Cs6LgSGV0DJ3LrC38j0qgTlrbb2AT4bUBA3Lhxa8ho9T6/aecdryCxjQL9DMw8S+dy8wH+1DTw6B3xoBbLywQChhY/d8DiLJftmLGCMQQPfBw7IQ/Mn56W+81bp2OrkPIphw9WsaanJ3UvDWb8CaieDQaH2ZmbmUlxVN3ZdpSC4b0IBfE1x9wet24tDvyUXJYBPwfGRJ8gstQvjeGI1dV1yadloKEViFu3bmsbN2leBDAT6ksd2Da5fXNd9PIHOWCLxO948D0WQGuli/BLYVvFg2Vp6zIoemUArCJPQpAb6gl+lXw1WEGFbxiCrKKpbVy8cQWh3rKM8a1BWmGdMBhw0j3UJ+RD6+Li8qB/cA9APbelcWlgLkGRKS9leGl5raQx7eQLHpJYUo62P/7o8pCM1gPfM7cpadwf8VE05aqQZG1lZS0+/Mijsbi6FNdu3Iqtnd144QsfjBd8/nNicpxtul5cvrQQDz305vjyr/zKOHPprvj6131jvPWn/3E8+MCzFUDVXcP9kLIAyPRgZKBctZfakL6A/1XRKRJLgHEjtjYPSh2h1Ths0GondMsvfm7mC+0R8eQTt7QSQZvwm/qJJ/BOzvv9YBube5YxJkzpyF84UWvEtvQRxQI3YWDQ5D0p2cakProXBPsu8jYwbOvR7RdQYDUR7YM+dt/nFv51NYwkGbF8ejLDO9kmHtRdN+6loZzjoeuOnFYrMDhoc195yImdb+7rlNXpHFXGjRrKYJ0iQL2GgOpbUcNvT7RglDnKwSDfAWgo5fjKiYv1onW4na/pL5YvZEuUFfoc17LKo19j+4/Jqe/RP7a2mczBH/JEl+LA7XHRMuXypVfUR/K3eU2awyP84IbbLOLwiDEkZTTTVLT4ztPz171RZdGQeXkWgaBKXNUP2O0GIL0Tb/6B743GaDu2F2/Kl6bBCSuegiMjSxi+Vbllrp9tnzRyNrSd+4wrQT2o3khrvJoJ6lQQ1jJ7/RVbq4Y2P/zbnBB/y4yK/DzTNgAg381/tj+Ipu4BBnrYu2cmqHeUrffkky7eYWY1jCybvB+uEz5GUkh3tJU7m+uYnVNt2++VFZxSP+sO9RnnW0bk0olUphBsc1BEyM2HPGWSNOdMinx8j85fGXwAtnU0i4Mur/bt7ILAW3UccEEY+CAI3jAAGqCwypP3Pfg6nwwOabJcoRyc4QP1zgHZ+RJlfEVOk8knlM3UJBgk0IIR2hegpHRN4cXmxobiD6o/lSjoGB1Zf97F1yvL4P4ux6V0Qb/bn8HWBrkVEVslurRcj//QeKyub0StBL2EFhz7Tav5QP2oV174lWFkcPEeaXAKrS6CyOIvhiJ0eenHkPVhi3hqcrZsTToljq2mm9mpQUPx3UpeM5iwsmE59yeO115RsCFDv4NWFkD8Xl9O5KwWWHY9sPDM/cd94ZCVRsmSddnBwV5J737VVSBgqPLMmRVcJjfJF8rToVj0miaO+K8Ym4ZUlIV/FLySDLqJ5LfHPb+DzyEGvH8zmODE7YGdN6Ad0FOfvuU1fNk4Xcgzq5GenGBxGkf7dvt9OVJ/+JHH4p3v/L344CMfiqOTepw/dzW+8qu+LBbOT3uVChBOrYZGLMxNxPd/z7fGP/9//n58x7f+6aj3D9lAlvO5EE1FLXzCt8Xtjr8MdONrpjoCakvZrPrKYIUHyIKDsVoOoBtcKfvXFMlU7vBX+cg/hkMWMzKM4Df3NRnSQGuDgn5sB2Vxws7Dw6F7ODnc7cb4GAGEkZ2aAVhl3LoPUnCemmPsUggn0dwLBnzpCB1gcF29LUqwXAZsiw+0afUNlacKedUNP0DkVHUqfnM5WaJOyKbkk8WS0v656oShgkwdn3Bq1DyjT1jGLVvQwjOf5rS+hd/OquIsK/7o0iyDMg+PmCC5z6Er0s/LfYbJG22adLECXdxE+t49wBG/Vvd4n/TJb3aQZ02TeJ/s5D1fsiBkiJpZvRMMR9ePujEmuVz45u+oIb67H2Y7WM+obPUvJmqe3GU9S5FP+8ewVhyccKCzUPmH3/2+eOjNfzumRnC+q8cxJ6miFc2xVnT3juPH/+5Pxlve8tboHxxHt96ML/+K18Z3ffdf1FI9bKqa9Wmv1x9LgTl4kBkzekekLgKu+rGq4wjabKVZOCsFSeOSh/NBKKoBOBsetZZKKomuNxB2z5pJQ1BVOlnmx24c/6Qo3IPkxArgn96DKpyL6xWwGGm97A5N2QE1zIiuHAihIWljlsOqAErQqw04XFeAhdznHTqDL3WZsqWYQo/jLcQO5auX4YvrSHnuNM7Fv62gS8Z2ItaS+xAf5OeR+XY1m+R01uDCyXy6opc6elWnks6cgZaSxYthQDbSVMCVSLQHkRGBv5EPFwo/MUuoE0CWbQ2+yVd+JxCfkuDEXFB6nUciR7vXoPjSsFMJpZ0bCp7KHd7zoE15mi3WauI9px5ZYse5ldc4BMA7vnA4rqLJw+up6SkZ19Cabc/pw/xOOiNclyxwbh23w73poA1OYmraRlWWBSKxLwQEeSB6PaczPaBAUasN5fYBJC8cr3FUTTlmFdSDLU8tL5wMbNfoZ7CB03X9wJXQCof+xGky+NOEMJEw3O48GRmzkyuP+a1JX+mrJKDuHNzgqXgbOPkngB5v1GJmdkbvuR+6pgm+mrybmU35Q96J0nyi05N+G8ypfly9B+dfE0K6cwvFub5MpkBun5ocj93tw3ji8Wtx6+bNuLW8GjOzc/HiF78knvnMu7RVw+lcXWRVVv31W6s2yK1ltFlzGwholMqXtoEXAjFUengNWOfkgK+8Kb89TebgiocPA1di1GJo1ORQnDIgowGwxDZl20jHyJ8/k6unVh6gYutdBlhoqvUDHzl9x3UAd4Cx4QkrsQrr0WxYdyC7TH7oM+5zRSDU/tZT5D9/Bqdw8kGpWw6bqgYjN/ebMTbq7R/TSzv7VHDWCWf+whSxF1rPnrOzOe1HOS0dKmHlkVf4Y8d0fkES8sbJu8wT2WASorfLSmm7PRpnz6VegT/9cvDCdaOe4xMYjDnGeEWt1UJOXSafKb8UjNGULiD84pkcwKmTeOUJ4sK5s0N50O7QKiWuiQdO8WOcFhhMWPvhmJXQZmMIJ37azHXmdCd2BXR5BYm64zZCHtgcpOMwgC9kxWnPnB2xMQl9ZXW5vPS0f9zh9F0GOZyw+rXY3DuMx6+B+wKbDbPfbnCc3SeeOFqMlcwztqLPzE7F5QtnJTCuiaTlaa/UH3eBdIIPffix+Ds/9uPx8z/7T0v2iJvFMv9a+LPOPLVRw6cNghIp3o9KPinYpe9oZuJ7qXR1goUo0bLEh96XhinZ6ONUxqU7+LmViAcCvrtjn/6scsoysobIRbH+y0sqWh0s3+WTy2m0JCvfAn6bLudhpSmeDTudZ1Ell6QxO3W5/Qk+bIhmfaq2qPp75lUldmGk0QpH2Xqunuc3KyJ+ad9dS8Wm3+XxpFiLxWnXdWRljM7uep+iSTIB3zGKjciMwqhoLIzQ0na2D4rNAJCmrKSV8qlorWgqbVGyqnhjXjkF362QMoc7P6t0p59Aa6dzpEFQOox2Vl1t5MKDlIPqk/Kq+8iHuKM/KTtZDr8ZzE7LHE+VrqxsVHy14ldWmcVTPodlON/McqGbBA4YzA+X7Uws65Tt9sisWZXjxGl1/858y5uMCYOBnLajXP7xvnkiPsK3muOsAY8hRdqrySft2s2b8YEPfiTWVzdifHIi7nvGM+OlL3lejMkQGZpgkWVZAXId4KNn+sAzNABbrVPf4XJT/oblwzrrVFuKZI8R4tag/5tU8zC543vUETnKeg7abKjvu01FuBJDLysPnJLlFHB1Ve9w76m6gdWONA+qtq34zLH/ToyMsFxZHPDvkDGVTftL1uBB4Wfhl0sttRjo334cHXJiz/KaDvLWgZ5EVu1vyqv2Tzqzlil7rI4Ts9KnT5Nv+A3ptGT1ej7SHeiFLORIOqOMGZZRty8rPUaRz3ZxPbXCxS1dZFLpMQxh14eHRV4wgHWf9F4N8+njkoP8RZkUmAc2QJG76hKtpS/kiqXbi3fwCZRbr/tKKetUhausnpZvQ9TTUC7Tjou1mJkYjQefc1983rPui89/9jPiwWfdE899xl1x/9Wzcf9dF+JZ912M533OPfHg59wbDzz7nrh04UwZItAQTwv9/1MLcUdHAGsS0js7L8B2Re0X5QemhreRkpcsCWvgkVAQ6FDedMoT4hHeg0NvWSEdlAW4mst2g5yc1GNn21smsNWgYcT2kUiJB/g9WZD5WYu9/ZM4EHifWURHYisPuuy3UZQB+UkrVJ8lhfKBPi7VoRZDwWxTIRpHJPOgbGHUMKip97LFABheDjZ0trq31+R07jqCTTMsM+SHcigiKdoduNXU8XdnG6dothX9DwO+chSnwj6GX9GGvwXbXORqXlvBZCl8pjOjy2GFQ7QNeFCP5SVwk8wX3uKUo/g/OMVCIN3T+/tg+BggL1eO6rG6siG+sPWIMby+vj1YVcIHAn8xO4bW4qQLxlI/NjcBYPSRbWRtZXmzOF/acZ7j//ih4LckJ9ioxRNPXFP7kZ72XF5aje5JOdLfx69jc7Alx7YB/zAGkEXyAONJW1zFUZV7bKFaweG8CgZWTxgxGPfQTDuk3423IuwTBGaPeCbHTrC08Ocpvhn9iNs318pWrLc+kAHzwE6ylLm16Ty8PQRm0VEcHnlbgvqBX6YAxNoqwZfvKDYAI+wRNBRMm17s7RwVmTrW+2z34hiO06lDINXEa+SDbRFOxKVPFjhfncOOnVOLXMAf+rGDUwOCeSK65dOIA/nhoXCYWPXaWMfPkUDKhwGW1I0nluXacMi2aL8Wtxe35QPzxMcfi/e994Pxa//pv8bDD/+BtnkffPD58c3f8DXxwHPvjbE2WG34XtVjfx+HZusj5ILgqCtLgBE64OzxST9Wl/YF9tjtAllxJB7h3Iv8gXnF6ozAOiOkp+hXtI9lvBvHRxy0QO+4v9A2lLmzzXYnaTrCC+I+FzzBMGM7Bfw1+hyxNtGJt2+t6R0ONsDfne2qv8Br8uJ0J5cD9eIj4yCzOthRo14d+TmpLEAVT/qxdBtfO3i7r2P5GwqcW9e2E3hIW9tHus/W6PLiVuzvdWNjw9v96BO21xcXd+Lw6FgwGNC7vUlsOGOcIb+4SBx1GMk5VIJsHMfaimlFv5MHMggGGNtd+MKxA+E6mrc7W4extclWOVvmHeWzvrYn8FT6LsG89/bc9zAeOYBAWwJKST+mTyCb4Fo5UDa+iQceTwj43OcQCfqDwLn7MtjByQKLijYFI404fBwaODqIWF1G5vAlgwcnsb6+KxgH2gCImpUlaCO2Hbh++9E57MfG2oHM042NLcnF5rrHMWhDvg72rfuPT7qCIUHnuB79ODiEFnTEoeRuZ3dffWd1ZS/2947VlvSzfq0Wt2/uDmRuWJdLOJ7mP0NbcjlolPFEH9U9DIPl20vxe+/8nfjIhx9VhRh4wWo4ITJ4vx+vePUXxxd+8RepY9CnqtRPc63+mIrLuYoG7y6+BEAJ9IJI9P1+UwPJ3JnROOmA62OsDIDHWq2pINI5R/rl2zHdjIMDBquITq8To+1m7O107S/BDIctgjYCuCe8H8DVxiaasb114O2IXl3gfaRH0dNpJ6faMT7RjuXF3ZiZa8fm5n6Mjk/F8TEnKfbkE8BA7wFyIy5empNSnZhsxvrqYUxNt+Jgn/hnRwqVsLvtAQAIj9nZqdhY6wTv7mx3Y/5sO1ZXNqPVGo2drZNoNY+0lNpn26MGIONBXL6rZfC4eis21g5jbHTMwXObEbt7ezE/Ap4PnY064X/Qi3a0AudC/G6YTeGwDeI0S/uTExOxv7sfE1MTGmzAqtk/2I7R0TPafuj1DOaJwkGZMVCBhswsj6X5lZWVOL8A8OJGzM1Nx+YWIJfTAie0gzmKCkfUhtqBGHkCrpyakVKanpkSIOnO7raQfy9enpUD5sbmRkxNAsC4ExOTIzIMOFWDMrrQnouNtfVojzZjawOAy3n5E9DAKBsD43VjbJQ67Q+Mrs3NLYOKTk1r6Rk6WPnCIMBvBgMFIwh4Ck4GIY+g+4J10+129Lm5uREzM7OSDSxF6Ae8kwGJLVGMH/JV3Li9HeEt4eOCQztbwgzobLMZWG4+bt++HVevXi1p5jQAbW0CPjciMEyU7fra9bh0+UKRtxGB3c3OzglUD4NrdwccLW+jrK4uxcS48cGY3SKXbO8eHWJAehA5aXQD+/yoAxpzW4MvtCfWzeH+cZy0mB3TwUF+7qmPAG5J8GcGXgZwVsAbDSYudoLt95rRC5+e7LKy12vF3v5xjE+OxtgYdQd8kMGHmIet4tZDfzWKNNu8Y+OGUGDwgU/4qYAiz4DCJAS/JMoFJ2tstC8wWQwG6smgyzMwlza29uPopB+7B4cEGIlGuxaNFgCM+JUZAmJzbS3eefN6vOs9742x8QlhZD3wvOfE8x54tgKA9zonMTHmLRJcJeDXsXCkJjX4IjtsyRHfjAtgWOgdm+QUb10DIFvt9Blwhvo9gB0Po14fi5OuwRLtrNzXwEffkA8V/lUH3djvEgQXlY8vDoCQgFLaXwtZlREnDJ92bO4caLu6X28HNkavUYvjfi863UbsHR1Hs92WnO8D3MjBiB4+UsVhvDkSB8fHMTI2IoDTVsvuDv16I/BfbOKXgBEM8CY+Xr1+XLjIVhL4VK3o9U9iegocMPwZPVYBwLxwbkJlnr+ITjyJ0ZGGcJsAeAQsEf0zMtKILjhyzXocrJxEc8arsRMT+EmCKu7RDf7ha9U55mTqhDCVWGHCF48+B34Wn6z47O/tK2Yfeq7d7gcGEjxMrKr9ffsNIdtsGdc7J7G95W0s/JC0WES8P22j4XOHb6u3G+E7oJjIJL5dXGx/07eEXwZ+kmBAmCjWY2QUmaDNwLwC5HQ8ok68vjHBpuxu12JkvqnnrEzu7RKSBTcPDnaNeRsc2YlezLI1DQbUMXWeLKDKgK0S2LsbuC/MzEyWiYgn2mOj+LnZ4KR9jM9lZHnqlH2etgR8My9o/0xep7bkThOSS0QIL03UjW//838h3vehj8ZBhyCy/RgbHRWgV7dzEoedo/jWb/7aeNMb/wp1lOX5WW8xyZRxx/jIo9fiR370R+Nn3/JTYhONvL52EHPzBuaz5cvpqYOYmsZHhIEAxWUBAa2VPXcm1s0hXwk6MsaofVNYRq3H3l4nxidRBj7SvbXZjYlJ4Ae80nN8REcOGy0MAP16bG4cCWlaS6R1EJs3Y3x8IiYncUJnlYsBGJAzSmNJGuRXUG9H5UfBb5R2OmfSiNAuhULn1eoJM04QxdkjZ4UFZYAzL4Ye/h4Icz1WljcUiFGKoiDM4hOTF7xidmSfA28ZrK9vCAkafmjFSBM4BAk59IwRx0Dnw71+rK5ux5kzOBpDjVfUGKAyKCp5Xb9+M65evSKlRbkf/cjH49577w7AMLPNqENeuidrv8g/KyYdO8PyHgbLk0/ciHvuvVqS1OP27cW4dPECQl/yZPXLCN2koa6PP/5Y3HvvvaKb+rGi9OSTt+Kee6qj3Teu347Lly9KKUEHKz8JHJm03rx54/+j7k3gbc+q+s517jzPw3uv3ntVRRUzBSijGgcwnUSaoCFq2qTjkETbxI+SSCuxlcQhtjEOIBjFIahNg0KEYEtHo4SZFBRWAUVBUVWv3nTfe3ee53OH05/v77fX+Z/7qnCKQPpf9e455//f/73XXmvttddee+214uzZs+oxwvbqlWtx/lbqAF4ai5i5ejXO6R68V4tPfepTcddddwle6iGaNwEqecZvPq9dc71ux11rfc4d8JnbDXxHmQEfTDDzc4sxPj4ZHZ3mZ+Ag7QdRsAVXrRFzNxbi1BkHxuQ5yu6VK/Nx/vwtmuDpwaUL83H7HWf0DFhQSPCbMZxAUYuV5bUYGycAHg7ZR7JAwOvAa77EerceE5MOVsrtq1dW4vytE8I77S4vExxypPhG8B7BOLdiWAmd2bZqUwT28QnawSpqnJjH4V/438Kb+qCFacC9YlUmOjlKmJygvW3JpCmfOJzWoy1mZmbj/LlbmG6UkPXRR67Ef/nj90lR3jmIGBsdjSfcfiqe/cwnG/dYVBucRNtSGUFVi5i5cj3O33qLYAAWx4hCDnmsEJeLE1Xj48PFd9CrfyZ8TUJlCwclkXFJHaY//MuYNO7BBfxsv0X6WcqV/jT5p2wL6nRikT+5U8tEr8CWcvMofJvoFWMcxuLiZkwR0LVYgnF2x2o01PSLi9je3Y8BFFkA4vTh+kaMjJjmrq4m5R7lCXc+cLC0vBZTkyMOVUHS5MDaiLJB9E7qOQrOC6BEJf+jmCuIae3Qpy1r7bIWo6QRtJQYUNsKYpr+N3CC60I2U4/wx7ae5AG8Y34x71gZ4/vR8aGSS/M6yiN8aNQT4qAj9hT7y0oTrWBVayoXnEqrkxQ3t9o59Ub0b8vapA3oMl9YsdYBomP7P7pM2V7rBljwgGUR53542/RWD4V36rI8w3rV04u7TtlNUAgMcHQcWoWoI1bYoA9tySjRtMxTq+eDtGJSjhPH+Ey5HcurJrt8gb+cUJjUgaZk8KAXwhsRj164GP/ku743vvXbvyO+6qu+Qs5ZOMjB+MeYYGuN6O/tsKYIg5gqX+Du/FU354mdWj/90KV47WteG7/2htcUXm+TSZgVqW+wNXPsSNNyRHT8ISwYTDKwAuWU7qHpIOxtMmnh7KuXC2uEJ3QGo31XUKIGUEpgwgbh9hG8rDIZfI04qGeQSrRxBkymRGEQ2xKkT8AosGR74mPdNYx53+W4B2x6UYoyAtUDPeuqYIeH7Bfk8iqhyaUIDQ9/N5EDqjynDbNNBZFxW9Xl335dZfkqQZfvqEVGlzUVtccgTEdDv/v4f6kjhVlLFbpX+qjQ/3ZwrepI+HISvQmWpgKW97M8v/l+8n5OVCefVa3xrdm95vut9VRlqctKaLbhZ0knfvGdqynoXKTlb4E3wXVpleer5AafTXpSvrXOFnihlR5BH1LFo/DzPOmjH4V2fFiBhi4uY7Dc/9KOfkAfeN+8iiA2BHQMge3FiyeyxAUlXL6J6+ZLfGHc0B509c+cABNnup2s5lL+W15PMaiJX5XB4yn0KzgW51fis488GEtz67GtCNbd8cynPCnO3Xo6vBp3pgHBywQjcHAq9uLnZh5yf5ADwM6/nETNoxX+bP0Q0PLTKZ0QnRizZBmg9sQTDduqYRwDCf+sGBgv/DY/8aaj+mMWpO3CRO5A9duIxt9AzCKWFPoTR5V/UtK2wimtuU0jJvFTwZzvGLCT/j0VXICDBZdDBwlg6Yta4Dt1cuV3eC5htDIgBaHg0nh2v3PCFz+qWluPVD7xonqz7oIrPTPdqneBgefU4f6aLoauiecmbHnfn9VYp62EP8u03hOgZQCXMZiO+cCqDuZ75TOZvnm71Cc/T5Qrv5bjkjoqfqza9j1gq8Y1VUrBb9b9hf2S1C8MUJDTAgOMRqErN+bjrmc9K/7RP/zGeOJtp+PM5FCcnhqIydGemJwciOmJgaaHu8fTzURoqfT/N19zksc8n0RDOhptVpboDHgjOjcnxjCtu4OYaqUsNdF6pC0AnsKwXJwSwPybzM8nOYMYxFmGklKWaAdfoOCYt5UlUadGGgZKmaHdOqdiyikT1a5z2WVoUdZ18WnoE0gGfX4XpKV/xgXKEu1oZZmPKSEJZ2b26ru1jnStjWAAACAASURBVOxvQYwBNAiaPPJGlvPvUqUOIMCHRllVLyfBPNaNS97iSCwX5flrf4qy4lFP/NwtVH9P1g0OymQNdgqtEmcoxr7l/kjfU3usxswb9rsxDDxS2ARAB7fCbwalo1/uUwalA5f8d8BysXlRBl8YzN4F3zXHHHIR6jEethQQ03epq4oj5XveikRwefLmLveShi5V/XWfRAHhtCBdyozfwTevOsbv/thxt1kLqWxIpqyuFnrV2FLDt8WwAL62MkzUlgmWZsGr8QRN3W6hsQIAQldrLq4HnxIv5KCP3inv866D9zEj8x71Fl4pJEPo7dcJxAe9Cl8X9jV/Z88KDpkMdJl3NBlwJkk+gNTPc0/6xp+0gbh+fS7e/Jb/GHfffW+srO9F3+BIPOG2c/ENL/3r8eSn3Bp9PZ32LzOIZeGdSmelLJF2JvFDUe/KJK9bZrA1SNs5WbJLoHd0Kto0yTGXvaOeSlkCRzj6mscbwh11F3o2lbP8DZ8CQ0U76vX6KMsAg/nZY5yy+CftlDGckHCU3f0RKmr49R2pxUIiLeasz1gR4U3orvFSxhh5BIG/4p+KNwSJLPEFb0VhYwFLGAJfyD5H+098Ay9l1E+hNOWN6QT+BAOKBjK64M8hT3jPuPC8wXcrtyx02BXIdsCPs49QRg0p16ZzTHLLW91ZX/WZOFQP9cP952srbFkO2eS4fm6HgMD8Nt11+rYE5wWmrAt/LpWns4wc8CQec725jZnyzsMO7slFhLfnS+mmYqXQCsI/9fLvi3cZA2rfg8rTJwzMzWSsRpyamoo6TJzwmgsFv71wcthYwBjRX7yO/dW1bMHG1gP7w6mwwCjXry+XZiiD2ZLYR1U0YxieC1nvSQdnZw+AxDPbPR4URiznETc3iNTKmxY0G5uN2FTUZ5chNQeOeLY+eaAsL9oB2sx7rCzwmGtdEVsXjqHC6UdfmKtx0ksWYIKjUQZAClWygUtilvsE2XQ7GhClJgQx+OBikNgZm7rcvp03+W0zd3lNvJTCm7KpbFTPCxxMpDu7UkRTKaAM1jq/R9vevvEATeEWsbleOXnzDsl3JWALI+NY2AoD+AAPxqMIF7s4UXp0C7S19Y2W+Chsj+wUgWnBT6HVFZxlRUS9Qw4+Jk9hqdAABcltG3dWylVc+Exh4z5ThgnLzp4q1SBIqHOk8RuewW8t4wa5JpxBwUEFiyOI52/7lZlXDQfv4dPky+Xwi2sqCvKhskOxy/g9nJgpY9yxhbJV+Nit4/zt2GDUyT8mGmrwb+DHOZ6x5nttxeEb7kIWuR1HTC7gSdjmd6okn96OFR3qLUMAx1raEy4JtqqoxCgw5hUS+7rdUhenhFfXJczLDK/gnRUtSMqawSTdDm+iONIPxibtpeM7LSEICFKL4siYeM8ffzDe/4GPxsbWYfQPDMfTn/bUeNGLvzzO33IqOkueOxgGdFBedK1ZiSYptS/kNnTPsWw57Ng8SU8vljTxKIYZ/l3VYsL1WNZ7fIN+WyZxBm69CB5JIEcuaM1YcXw0JJppat5BjlQLGinLequmhNH4yAFDXvCxa/DYQ3ZlbDArm/Zzy3fgseNDLOskWXbLx2h3LfKNupEp4hvdP46dIjNgDOiELLVSCN6AhwMz7p94J3iHmtw3PpHh+GD6nmX0yhK8kF2yrKUuczYPcIlAlnIP3Jim5pPkQfNoLqjArcc3fEscroiV1aQH/MX4OG7Gp6MVphx427AZc3XlXgQSmi9Kr34ZOtZl1YEaR9ve3mAMcplGgr2MFWrlHeJaQWPPb2yRFryp1yiV+BVyz+NOiyrBkHMOtElITQ98ELmX7bLlicO5lfQKm4btC/83IW9p2QLv5snr6U95Qpw9cype//pfjuX5RTaETR2c9ECklg1MetY4cwJtqfh/wK9moj8NMAl/9uzbyYhuH3lYiBVHW9PMrRvaJ1feOFVo4oIWMYW4gOPY5RQdTEWqFPwF0iQlNmkvgQaphCGC4DosMWg8oI/k9+SKJZRw7FSyUY1Hd6fWHrtqywyPE6d0BP9UGSbfZFe1BhwFJfQbHsDyUDhYsMhSordREhHENsWn7JOvxMpaUxGjOlmCSgFPptlMApOKwEl6MIlneZQNnAE9mNxFW2CqOnCsdTP42HnAs93pi3Lgv64yiTfhv9DGLycMHuSiXfZXn1gNKqWYd/A7kHNzczWBlZFxkXXZ8uWxYTh4hv9N9o+q8Vfw5feyr1UZpwlRvaUtEmcabk9g1YRu/qIsk0rVNwc+tfJBO57Y8F1rhRfcU1fKAVaVqbDASDzLBQF1EPuIQI6+3EfzV7nDSdN2tjo8hkrBYoGgPLDYOddtug58+7hacWCLB3ddJvvsMlhW++R4mm1gZUD55Dn/pH5ldPAG8HgSV7ywfIkErgo6SRveLkThq+BAsTaOjBfK2c+Lvpi/cD72hIqsQPFZWl2N97z3w/FHf/i+mF1YjvGJifjqr3phfM2Lnx+3334mujob0UuMq8SvfP2sfAkvghfLdIVHxnZ/PzGYchLHZ8VxppKmTL4kl9WYlewB9uQ3dxp+c0y4gqdaLQZKolirJPiStEdPr9vm2Lp92sxHWkwq6CkWci4sfnwWi6x41lv2HPTwZRqSpNv05AMakcjXuPOizj42rtDvCM8sQtQMsAGXGmx+VvTiCaedC1zAVjuU8ma6g2O/SxyzHHuU7upCLpoGwIjiSngGX+57DzGubOB8zMKOcsAhmSDFze8wn7gdmxyc6JbCrpv+k6uQ0uKnBo7bdpYWrCVjQtOHCakrn6cKNjDI2DRuPTc3x3HpAfjL+GHe/mrE0IhjkGUfcQ6HDsBrv7SjqGLbml/ImpVKJ2WRb0qlVeDPcAgnaFIQnbyokBdNGvJiuxzRgaOIvAL1F+fjhA9TKwjZKYQR31eWl+MV3/+qePAzj8T4cF/8tec9XQ5nO3ubOqqKA97XvfTl8Xf+7stbq/kf/LsHiJnpTwO1EZ944EL8wmt+IX7j13/RgTmPj2J7sy0GhqjDgoe5mZVdTzfHvn16C6EKw9qvx6d6hoZ9wgVBwgoBBmyepsAJcetQWZuxWiE4EPaY3IeK8OKABqe0xsnWjjCK9tirH0U3pxZqKFcwN2Hmj6O3x8KtSc8y4DXhldhaJ6SDJiEzp4W+J0ewgxJif6yiTBSUOcZIJYAdldW4pR1Mz6lIAocnONpg0nWUWbawPGm7Uj+jTgY/dVmp4lRmjifqRchk38qbReCab33P7xdwLWA1UC1Yso0ydpvwGVb3w98twCmXA5w6eYZwUJzIGkIQJa2Yuv16adN9NhyckiQTuRUP8wcVI5zdDnDRFvVbl7IDpa0trtiwu8zN302/Up8mR6xpFnpZdxOZiZzSn6yL2y7Lu15R+h36Z7wKb9C1TCLGTyv+XbkmNhUG70Wot1gh5C9zXKJ/F7zRViss1AQ+Ei74P2MKGc7miydwbvq5Tb/P9Ak+q/qz3qruqi3fY51I6omTPNfabrajqMqaQW19Pq63x0MXHo777n84+gc4rbkez3/hc+IJt52JthKjKevxZ1o+vThj4pD7L5Oy1lGt/Uxcc6/gVf2C1rlgcF95rhKMPfqi1b8VPXjjJI2YCIVq3fdDxr7vZV/9q+LBVjwab9Tjl1r7yDOVhY80pszvWR9vpF9cKqf5jK3UtDpmnapDu5QAzT8v5ng3FTtJSyk2XhCCH2CzXFODcVg7Ql1r9l04ky+XlW3DYFxbDtA/iOJ5wPCk8pqLC8aw+5f4A0bjpdQl2Wy/1aqfWaaFspIHdKKm6O+ppJh2frOJk1JR/s7PHFfgn38OOgocXMDOP+YRPqETsqrY8sQU7qvxXBhCnGXZ5zoLTxRLW/YgYbj5Uw7fwqHnEvNGyi/ehibVeBVgX+A/nk1vblTMS2cZSPyImF1Yi+gciad+yXM0MVxYPo7Dg1rUD7sk0A4PumJrt+ypiyPMBDdX/d/7W0gslYBwXze3dfPvx7bqetzRrOWxpcqAFsMUaxADsQzuAQIol0FJfR3tXkUnUVsVAI3fiBjSqSETncGiiLCFT7Nvff2QBaiSQY5jaDBPYBxHW6MWY6OsKCnjrVS0ew0CWb3M5ASjzjqTORO2ArmJfKLjxh10zwHOO/xjUq8GUPVSkgHBpNVhDfhTIBlv/m1Mn4TFMIKrvK+ePM7AQPFs7Y9OqZRyeV/EKUqGTdtM+ImHouhpwFdUr951n/idvNUq0JqTR9nOsD+XoNWKM5+n4Kx+J5rB40m8ZVuCIZ+ZBEUI5yoeQeQCOckn3Cc//bLv0UdCOKCM8r2aBDSRYikqFibBrInLOKqgzG/mRUHQcD66oSEU9gJsyyTEvYQp307aCnbxrScf64YISBRNT9h+xzxsHved1jqzPvNjRUtKmt5J8/JZfP+ow7T1uKF8a71u6XPfM75Mhwxc2fp+8g3CXRey88ZK3Lg0G1fmr8TuxlZMjI3HM+96btx+62kdjiHWDHjR3FRjS34vBgY5GUgN+LzY+sFPLU6ouigglMj2CyXcruhqOEEI7zGm29u9COO3Awr6lK306Rw3oo+rkUJQ+MKamlr0RC+FmfazbCpuBYTykc/1ZvmRMKtIeZ8PHlueNGJ3v65o6yh2oncpDLUdlNENuC7PUzn2/MS4ycUI9R7uHUZbscaz3eNTYIlDmPg42uGVJkvBh+4X6omix4vnW5VL50RkQYu8SHkji3HKTi1U1MOmXE8Y89Pj2m4LOMoTOgX3BkVkrwoVOcmNVOAANmWLAVff9A7MUtElcaWFU5nbEeu+T/9c3rHe8jfKe7H2i1Hcnscm/fV439lmoU9U9EIv0ToV9eyAP0XyJmPknFrGjOB1OQwGKM2gPOUeT4A3x9rJmj+/v25SmMy5/LWvS06ax/G0p94R/9ev/0yuT1JMAnlIg2pBjkgGx5l2f6kePB5CWu/xvfW3MCpEQyzASmJ7hfx4QPxZCKf+vAiHT06u7DgDdmVtI0ZHnEICpiF4IWmhlIsonHiQAeTfwqri9SiKryoiIFldwkzmchBGYL71bQ8STEnEGTo41nHSoaE+TSoHR44hxJFaDYbAx+cgBvqcpoWuy7+nFtHbl2kn6ElTGmW3Tn6KMa3o8ABHPxQZBpQHFbDtxMjwgKGvEeQPi1a0bEk511VX0/KDo3Jd+aVYdXvS9r47JwE1cEsyS+Ur89hwEsa2WvQUUzAOnmzBEVlZQ4fEretbCiGQdGK/HOWANBge0jX5Eo2OSbPVhIE/D3Gm8h0jALhahwK8Bf+0izZsB0J/Jhx4ZnFxNUZGOW5uqxu47unuUdgHJjjKseevdCn0hyPRmztKY8C2FY7pKFscbZ+YHJFjKtsC+N709fcUXBMD5yCwphNOQlfjWAExh4Z7m9thDulArB5ovtdchbHVyETR2dEhv61Tpyf1DkowgfW4j8IJ/2Dd62zv1GGD+gH5rTxm2JpgG2p3b19bNeC+riS14AYMe3LAN6Gzo1PbnRyhx1+ItA46Qj/Qr3HT3d0j3wrGJrGc2BrFXL+kEBSjds4Nkhgvx+nTk+quAtcpLyK47JFfFduuGxubJT7VsfqxubmlEAfQnaCGjDnyaQ2PDAoWKmPimZoa0xYMW7uMKWLb4FPlvGBWKIAPxZ++zs/Px/T0tHh8/4BAfDsxOTkpPGNtxcLZ22uegHa8R8oLtgSX19a1dPnExx+O+aXZONg+jDN33h5PeupEDA12xbmz07G9uSWlAB/Ac+dP+9Rtb5eOvg8MwucObnl4jD/IcYyPDSrf4OjosIKaDg72yy+OduUfp62VTvlRHR1EbG7txvT0iHDNdtXSwnacOjOkiWdnd0882t/HJM+WbYeUKZyiB4e6FdiQI+LEleM3rgRY1nZ3d2KQmD1K8E2i1I7Y2d5W3K/t7a2AzowRjraD277+Ph8oOK4plhVBRHW8f2Epzt16i8bZ/iF+j5sxOT4q2c22P1b1gyOPq9WVtRgdH4nl5dWYGB9VbDGindOHw/p+DA9jsdtVPKu1laU4dWoqNre2oqO9K7a2t2JiYkSJr7d2CI54EMODPdpqJMjl8MiYYqCRYgTXB0JYzC9uxmA/46MzDg/qgSLADgB9Om7Uley2u7MrOjvb5FPIGNneOgoyEBHEcnNzPXr7OATVrZAXyALiEBHAkjAuBKTFv6e9oxGDg10lKHFHHB477lp7rRGbxMXDT0oWwuPYVHiNgZifW4npUyOK7UX8sY01EkQfxchIv8YX8cDIvoEsBY/k6CMh9GB/v/iTgJE7W/vR29ehOHK724eyLmHZ7unpsDxvI0zCQbR1gP9O7YKwE9LZZbnGwhW5Tf1jo0OKY4aFfWl5O27rH1fgZWQ0UoKtvs52J21X/DvSRvV1a35iN4bTq4NDXQpkeVA/UlBmYkQRw5ADBozR6zNrccvZkaIoerz9WXO3BeZf/d/WWaIIQU1HcYx/DauSoskRJoAJyTmqOqKroy0OyBB9XItjhdo3QuH41DNsKvzLA31yUntsPRXSKs3s5nv8/lz15MTw2Jp9J+vifU7V9PUP6GQGcYYIora1XQ8UA5QnR/Q+itoBK/FOZfAm/w5+HAwsBh0+HDh5d3cfxdY6MTfsszEwyGRDBGNizvDufvQhrHaPoq3zKI73u6LWQbbuw9jc2o9jtm2OjxWDZHVlJ7q6a7G8uhfdnXYqBe42TWB70dE+qMjCk9ODsTC3E9On+mNz8yBw9zk4rEV7m4UtA4KttPZ2BnF3bG+y3WWYJqZ7Y2WZwHZtsbN1FF2ddWlQRLxlJY3D7NR0X+xuE2SuM7bW9wOBz7qZ7PP4QTHwmAA8iHvKKR6UKfyBWAF7Fczkhz8D+ERZq9cO7Eh7TFBKW5iYnNpqTHb1GBomaa2zxmPgYs8fnx0cjkeGR6WoELgSoUEy2MX5tRgeGvSJLU6vbRPgzznCENoDg4OKdsuksLe/HUcH7bG5uR/Tp7nv4JHtbd2K0j083Kvgfwjh/b3leOKTzsTy6rpyMi4vbscTn3wmdnaJIrwXuzsoV+0KqIh/CcL3oG6ln0i5XZ3OPSfFZ4fAjYw9BHWXFBqcoYk0r6SYDWJf7SqwJhF7EfIoBPgzocDiK0HgSnCwUXf2b3AJbgkWubW1FGfOnJHiubGxofGKItTdMypaDQ0OxdWZmTh37mzs1+uBJYly8DJ56BSdef9A0XvPnJmWAsjJH6Ko9/ROSgBvbm5IoeXEJ5P51atXg4m+ox1h6QlRsXhYFDRqohm+YMToWVrOYKYHUoS6lXPPJ4BwtEbpBE9M4mvra9Hd1W2Far8eHMphUpZFrZysQTnqaO+UCEeGdXZ0K8bVqdNjMTjkiSYPdQyPMPnamRteZewzARFIdWV5RXggFhi4RYHf3NyRHyLtkgh2YX5NMWvmZlfi/gceiO293bjjCU+OZzzjCdHdTlDZfdGQiONYTlBcj5mI9g61OKJN/ISIHr+5hS8gQTE7o72zU/0aGUUJPFCuQp4BH/9QTsfGh/Ssra0jGh2HMTU9qjQoTPzwRXePlxE4baN47uxuO+DjEXGnjFPJbAJxtmPZxP8N+RCh/IRyM+BE5HH09HohyPg95hh+O3noBtQnHHfbOtqiBwW2jhzpjrW17ejsJsDjoYIh9vQPRZ14TASHbMP5387ycuJGfrVHdHegbNXFN9yHj7hqHe0liDB96il82Rvbuztx+jSxthrR09Urpc5JotviQAGDuzRRI5vA//SpSUX9Juchij4HEFjAsqhA+d7dOyyBhNdjZLgEZ6z7ROj+MTzWq7IsgAnWC+44RDw5OaZgvgedxzqp3NYOX6JIWWFCcWDuWV+px8BATdZE5N383Hb0dDsOVm9/t+JMEa17OAajp7ObwEzR3tEVJBno6HIgS3iwf8CBJDW/EB1beRTtj4Z/LDxm82Uj+vu64uigrtyE4JO8cgf77dHeaX9Wgncy1yFnBgeZv47k+3a4eRB9fe3R3+8gqBxUYmHQ1kGQVocXWls3DQcGnTptc4tFyHG0dbUrzyR8q4VogxiOzAcdsb6Gsh4BDru77bLirUCsoZYNx5zMlDWzmuf10hfhz+P6MFnhOY4/+uMPxG/+xm/FW97yxvjIR++NV77yVbhyRQ+Zp8lJxF4+Ky35YTTiO77tW+Pbv+MfaAL87+kLDM/FJys+X7TX/KFnzSflfpYXUbinlXJuQ1TWonwvP1vrzXutn9T7wGcfjde+9nXx6294rR6hYV+/vhhnzowXRdP5hJgMRsdsTkegw8T2W3X7irHUU1l9mCDobjqUAzQh85mMZR1tNGJudjVGx4eiuyR9ZJXAO/19+FLYXL+xeRBDgygUFnyra1uKkTU4kAEa26R4pJZPJ4gOPjJSOV+y6u9iYArNmGBZMRH9GAdAw79KcL/hQfGBcVRWkn0OXMnEs7PDJE69tkTw24klqYPKEfInLX9ZRmTDJwgnXSWXpX8++WHLHL9sqdraRDGjXV8MbhiGyMaGl1D8e450qyKcaNuOoaFMTon/WFvU2mUGkkIHfOIjyhd2Q7CkQzPPiOY8PDzcpCunUpgsWWUlL6k//c7+TUVYtqrExcYDK02t1ktD+g1sICdsCertzUS5xr/fYTvWZVAAnNjUYwWlkVNKtsQZLyhkKCvqUg2Lki2Hfuptd5QhRxz2BJxlsz/0++aLZ77v4/NMsmmeB354Ox1boSuWKJQb+WnRw5pTdLBSpjy/CfzKAsJXe5AuxJnssRx7WxArUm+frWxpMQNPOPHa/4swDgh49qmBu61pjfRvlC3whoXTcob2wVsmRAYWFCcmBfEDxt4S/FDbbWxDSNFIrDRkebx+bTFmblxTGpPegdF45jOfHLedmSjUitjc3lesOhYTtAnvmK8ZK1j8CMi6FhMTtrZQ+9bOroMES6SZDihUHc2EqfDXjibBnFiY9OTvJ/DcVga7zP6w4KDt9EXLnniE5i8+3aa2I0U3L6TbmttMupnFmuXpny+/bx8VR+hHga8uguYysadvGGl0tpUzz/Ok4cdSTRJrNVSrecuORYQqKpbSrJd4aQrDcRB9vCOBQ3oSom1bViU/Yb1GcUNxp6X9w4PokaN06YoacB8Msxd3rT7zRCpXsuAmpSlpuPnMtqo+w0+Wg75HWdPfeOOE8mH09qLo+z4SMekKSNSJVdny2e1ZVuW2XivMOZ964VG5E5yE0zKbE31EzGccWoajILFTIv5q2b0xrO6nlWG21v2b/rX6s7biw76auGHQviloq34LL2nB4xAOLDLzYmx+sa4TCpM76u1xnAFJFbC+tRnTk2OxWz+IheUN+c8wweCCyIxxeFiPGhNUnRDpfTE8iPZsZ7u/TKdyMPvTArK1nlZkuUyFvITf5ZNolVBPps06snz+bm2n9Tvl7rv/s/Grv/If4g3//qdFYO2nipHxCWCgFTjktMt3/iXDoh0wKSfDeXJIBqH9Chb6XCKjMk6ag81KgmvNemFmBkeZY5tA87yU0QsJCxV6APglv0DbctjVK8CKKbgodW1ZVzbiOhJnKGi+WKHA1I8nHAyL3im+JPKHkJMpfS8wNQVMsyPVF6pQU66LB6YneEkY8jML88k/IbKQhDJVHdQjWapXgYOy0uZMVw1+w1fBn3v0Bk+vir7wAYom9E3QW9tzvcKR2i1wac+fUyXmJfcr20zaUg84JpBp5tjL992G6FikePKU6VQpqJRxuSaALf1PmCvhyh3qYKXouvw7S2Z9Wa7iLx+HRzRUPJJ0yfqzFj4L3psJP9WwSaXupcLkdzzZ8IB/8ABXkTva1qWtk/SE59x3FGpwSZvGobbT2nPCdm0olt5+cB/Iaeatc55TNyffjmNxaTkuXbwe12dnY3NvN57zJV8S58+cjsHh7mB13PQfk5Tg2Lajozf5uQxgyRGNPcPk23Z6xZKABdF0BXZ4LBeDwJM8nZ9CWsEPz/nNlc77SQvjSd4wJwSJy2PpRCktg0cWh5uVHdfresBJc4GRMk9xvtiCtSJMP5lbrNACOkncscTnBN2mHGK1MjG7z5wQrQ4WuE3nwTM8pT/CH3USEsS48wlP+/scl4jkFW9QE/2Dnv5u2Z74ymjauQjz1i1O0sa52+Ud+YQVWYZVne1JjXXRyfn62FqmZt6SVVfOp5btLE59qixLPPbTij5yNuGz/ASnXog4mniTHUqvkj+QtfCNL8qmHxdyIdujdmjAeEHWIHO4l21i7HI9bc04ZpVCY1wSu8lKO7sWvI0VzZbLnO986tduUZ5z5AbLYScJ0Gwvx77nluzSzXIs738+PxNzagMg+YdTMVdfX0ecnhyVY+IxSRM3l+PcmeG4dWoizp4ajVsmh+K205Nxdmokzp8djyHtu8NISR59/Qv/Ab0g/dELj8SVy1f0K2G7uTIJ7CMsBSC8ML2WJf6u+S5q8eEP3RMPP3xRkwPvICC5TJiba239zSSHibozunvsVyB2UrwXtpNgJvBlSxFbVjDkyVUbqxcrNgKtZXBSl2G0sAc2wtDLL0wn4PBjOFTeKaCCicnd5MmhWkmwXUebVbvA5FUTzA+cjodU+tbAJ8h94ygnpY0Lvlvx4SbbRjidagCpFO9bkQVW6MQePU67XPR9eWm1NFLowX3KlvxLQqgGhH2A9FtEZ2DwTg4YwwRc8k8sx9wNJxYY4o3QN//D5AuI/BZs+jRPiyMV58c5nmg+/3lCAHfCgoWcxgCwIEhcvxwpa46/476bUzc2dyRs9Ev12lICHCjKfDouk8cGAogTcsvLy2BGuOWT1BWimZRO4rRQb0FlmfzZNsRvRDQij9+a4z3RhoR4g4TDq02lCDhJhULf+M4n7bqviV9PPHnPdEy8uX2e5XP3PeEyvg/AvehPH1Gu2WbBEgpOuRolcTMIMhzAvDC/UhRTv7+0RIJVyjOecabd1Cf8S51cS0srTQdx+AW/J3BKvcCGG8HqiuNEie+iFrM3FvQuLy/NuwAAIABJREFU21WMVayr5h3wbxqR4ib7KHosARvKkvmA1b4v+odldT8uXZ6Jj9//6bhw5Up0dPfHlz/vy+Kup94eQyNd0RbeprQV+FBrpmtX5jVpuOJQ/1EEuOzc2hYXHrns34Whrl6fj3ZW+yi7QZyathILqaLJ5Ss3jHdwQJR/xWkzbcAzcmH2xlJxrncvmjGXdCbMC6SjI6aEMqZQbLagi/FOu2zdG0fgrMmcZeFm3xYrMCy5LZ/AbypL1EXeRR1sKf59xgXKKm079+DcjfkyFgwrbTo4p1hJPEMsJ221apDUYmFx2Qs9MAAeSB68xpYzcB7Hce0wlhZJXs1vT318xw/QfeSdw1hfI8Zd3oGPUVBdB3dRwBQA06CJ75YWMuYY/E8IGiu35i74pxZYQUkxRd1st7M1bFzmmIE3jWtotr2zFYd1fqO4INPAgeOjJQ329ojlVpQk4RafJo8v9xvllPiJ5nH4H0VGzEiftEPBgqjZGcGwuMC4QwmE50me7MCobtchUNhuRe7jII6ytry8KbowVuk325zE7dLYVUgH+CEXLfTLKYgEf0nEzg6F24AA5rX1VXjQc1VCyWfC0nrv8/39hMIEgvVPzFF4hE7VanH3n3wsXvO6XxQikFvN46pkNyhEFv7T5+nPDbkHXdVuIy5dvBz/8Nu/K771H393/L1v+fb4wR/84RIpGfhAuP9hcv3+//1fxou+9mXx1/+nl8aLXvSS+O3f/t0yyXCmoRZLK8vxqv/j1bG0thof+uCH4p3/6f9VxySUS38/F6jJcDlr1ZuRiul/m3w4VEYDkAlvU/vpEBfmZjWAb44uCQfyXsGZPh5Oufr+QQnu5T4xODYV/dirDgm/rf3YUrZvQLfwW1dAxkIvJkkCv6kNk5Qs0PgXwJQSoTwUKGVwRlvs1/HRoE7DyJacysvRkBUBiUr1NuJGtPfET4/og8RQHBARWWTEZHykJKOlMeGaQG8ILwkx4Ya+UkeuXqMkjERoAgv5j1TA/IiPxo6dak0T3mU7RxHlmmUwV5N3iDLwLBPR3PyifrtfESTP5bl5yNtRLg/ewG32jfb5AR1RhkEuAq1NQdvI8m7B2wiUBQeZpIzxz4ffoZ5SlyxIfk47jkUDfl1W26HCD7/xEUmTNTBx1ZTIUvBrsKEkWVFVW4psTCJLtuy4gId62C60RKSc36FVtwseFfRPd/wHU78VBf9mazPb4M5u8e/RU04W4dN4QMZ7+BZB5xNdftuoxG8GS4mJDw80oqe739gpCvfeDrj2GOFdxwXycX7zb0PbMkk/4YS8gKWvtMuYwg9IE02xjuGUzoXFhElZvjLY6pAlCvzoAwXZR0YNK35iSbtExMzMDeHzsH4UH3r/e+PXfuU34vf/6D3x8fvui/7envjqr3pujI2yqIJLoDPBbJkwgA6L/FEQrwcll3aY5/DLwxlY/NpwEEZPBOIKIY78dtso5dgvGf+4Q8hvNMd/IwYHaNeKKpOVrQ22mIEr+JMtFp+OtHLqOFnwuANMYhlycMFSb7C1WQUrph8cWDCOvNBjWFjOVLDs7qGMmre8McZYZaLX4NIBkYX5Vf30eHN8ND+F1kfyIcJXER6mPf4lD6ubcaycfCgVxtdRDCkPIHhTsAS1hhsDz7VoJDq1kleXlmqc9La/Fu2oHMFfDx1vi5rgA0K2eAyrW06mrCBE5R22cxWBNWnGogrZCueg+DOH4l9aFla4OtRx5N4svG54tra8OEjcwSBr6yw+kUuMKRbS1KkJWNCxpVsvbdNLTubtc5CoLDrhGbZmrXAlXb0YUTvw/iEWPu4BP5Zheu0em9aA4Hkjf+/XnedO/KTCtVhHjki502iM1bUdj68ie1B4rRSbN2iLsUqz4B58ES3cY9SylPq3JXugRVkIC8ovzh9L29K2Ge9mQBhMbTpNgJMwpy86OsGQJ0x6y7FYr+RufvfP8xtmMaH42Ns7jHe8/ffip376Z5Vg89KlK/HDP/jq+MM/eE98w8u/rgw5M9i9n7g3nv/CL4+/+03fEse1IzlHPutpT9bEDpN+9uEL8Z3f/U/jp//PfxNf8WXPVyvf+Z3fLz+dl7z0xWWgGUYYwUSrPnmSDBI44MrBW+JFyUIlk6mVSb7mkzU48xa+U9wi9oo7ZIWitlocHO5Hb42Ekf7NarijTHqSoA3w65VGMhGTpwULL1lQMTiU3LdYh3Aa5pkmCW1RHIrxa7WS4RsHfdk+qcP4xipnTLpOY8J3+I4AxVmULOIZIdxRfDl1xrCtyTm1uTiReDmOnq70+2DSYPBY+UNogE/+4UCuiYTfCrOPX00qc3TFfTVMOAC6Ln6DD+rQKTS9bZg5yaaJumBC7yYxuFcydrvO0nMj1rce8xdeINGx8W9eKAH0kFmaFBs62cbpqMQr1fi32zSs+O4Y7mymdWsDMBwQsOq3tyiytD85bJB8Ab3t/0JfjEcEZSoZ4oeaV/fQyhcKB9vmVTvU19Wd91zKVje+3zRZlVrqByTazNQ74KTDhnuDIv7mHu1QP2MEvzZM+YYLiHAYhebA4kspfkp57uepSFUrmBtycs/y1IU/mS9grcXu3rYyqOc9FLmx8WEJa5G75vAeggAlVq4FBzpt5e09rFW1ZhJnW1cbsbd7EEuLy/Fbb3xzvPkdb4+hvoGYPHsqNtfX44H7748XPPdZ4gW6Y2rU5JALHGq30RETOASvrTVlDf6Aa6tEUQcHtuROTo2W/thCOTyMU/+2eJHdMYqmr5XrrilxdYVHOy27TpWQLAIH4Iv5i7FX+dRRp7dL+hXSxPRAQSGRuEATRA2HQREvMaZTLlUSgGKcpvMFhqEyMyJ1ul7GOZaWLMMnKaKyDJP+8NBQ7Cl6OZT3HOQUUuW1qMXQkE/H6b1GTSEIxFstNSvRcQOLCha0Nuc6LTwJK8KPvSUYpA84tcWAfN+oxDAS386XYUF2cSBGJQpyBvrZfgMPKcN4lzJZjtoqPPWyFccpMT0v7RAzDzQU5QG/yPoeCrflBvQkryA18ga/8U1sLnSDpMFdXrSXRTBlPTeULtCitliB04vgowP86BSXRjUfHR/F5BQLGcNOa3343RalUl0+bkR3j8eyQxi0x/TEkAHTLgHy8LDwmCHmEIFpXLBJjD4WWMyPRoHShMlR3I6/slI6QOZJ2Vn15gv77XF9mCTgBEdqpBGH9Xr861f/RMxcm42vf9lL4pZzZ6L9qBE77AkfooDW4vYn3B5nz5Ix20T/83eFdijNqSmfEkDxgF7cf/Nb/5PM+//oW/+eypjJavG7//H34xu/6SWFsB6aZXhqMvvRH/+peOjBh+Itb36j9uEp8aY3vz3+3c//Qvw/73xb3HbulEEUPT05VkLmJPT33PdA/OZv/lb80uv+nR54socpKp8AyXn1owz+ZNoTEyWNsVpIbZkXzAxaQZRJ2H1sgQEBU5jK7ZgJXc51WNgDExfPuXiWz/0OAswrrsSWS+bA9K98l08EIzBWA973/EzOzoI732lVHgrQzToSHvDNdib9yjJ8Gv7kQbfJ/cQpbWQf+e5By7fscymtScr0TFxUwij75Pf897G0p+6Ex2PBAjHxkHSjfiuFhsH05bvrdHnDVcGeODUv8D5XhQN+JZ9k2exjVVal9NN8kb2vPl1H8pxhqXgV9EPfz8X/1MNV4bDcaApyftNPYGytN8vp7TKWK14EDuo0D7p2/po3EazJFll3a33V9+xX9hdYEv9Zu0snHvzL/VLfpYVwN+soY61M6pwUm5tbiBtzS/EnH7sn3vmf/4v6uk+qKE7RHTSit7s9XviC58VP/MSr9cx1USd9oq/QHRqnMmEo1F+NrWw/7yftTa/ES1IjS5kvjHvKNHkYmsrKCS6YkJLu8GTClG2yeDEFcrz5HU+ZVZst+GnyqWmW8OQn1WEpyHqNj1SweNZCI8k2jwsrmtSSuMo2uVe1Zfl78lmNdxTPi/v+R/upCOkWf7TA5TltAqMwJ+VOj9WJrNv8aLjyHgW4wzPomWO/9bkqOfEnacXNxI8c5w3YibKpBLofps3JAlRS+vKYB3/6jeTGLKX+A/oJWYqynlYn2ucf/ZRG5/EOHlGCZFVPWGQuEmyi1gleA99YyMoYb6FnK22NxZQlN0GrYM43j6Hsyef/01x6UzvNQcd9mTNr8an7H4zZxeXYOTqI3//P746fe+0vx2v+/a/Hz//Cr8a//ZnXxc/83C/FPffcq5qqQXJTxY/7sxKMvEdCWx9QgAB+gdXI3/7bX+dBoHuNuHDxUvzsa14Xr/z+H4oPvufDiscB0r3qx5LTiPe89/3xdX/rb8qa4WcRX3rXE2P76DA+cf/9FTSikJlSf0u7rf1gJUKsHROWUu2K38GnBbsj57J9I8DFKFSUQiytOYWhykA1EM7H4wGMmbgSkvDUynLuw7v0zja+O9W2FjCxEtH7THzEZdJ2lTommIER8ydl+Y/L23quk756peLf5a6OKXtAua6tbUz0vI/g9UTpxIywiu87iWxVrwW0y2a9wAqfVZNh0i773lreMTk8MC3k1H8VRdj7HluIhoBWvJLG0bD18tZZNUG0PgP+k/+o17jyp1dZ8pXSi+zxkx8QX50sC57wMclcbBTkNMtBwTvPjSu2a7iMAw5Q+F3jptoubPJQSa5pPKuWqO97/JgWee/Ak4KaInaW8+l5XJctxiZaato2SlgEULH4JT3pO9bG1gtLY/oBapJJPxx3T0VxfK1gLQmIhU8KgUtOojnJqnhEGQVKTjEPqubz1np87D+haY91+XGBf1/4aBBqQjgp6XCWlxhD9jNkwlxZMU7Esli2d/Z0bN9Cx1z06COX4uHPPhrvete74yMfuz+uXpmJ+z716VDsgvp+dLV3Ru0QC2OHjul/9sELMXNlLsFQ/65fmy/8ye1aLMwvFp8ZT5rr6xsn8ngxmczeWCx1gCfnC8RfKlELzImDHD/48xhl5kPH+qEajzMsxYQgaW53KDYVW7FW6qEl27IHe574zCv4nTlHWvICx+6BiXpvvoA9L2DJd7jn/IXwOtu5+wp1UpVti5XVNfln0jdqWdvYlnWbtgxLxMJC4oV6atrarPiWE7DeBst6jbsdxfpJ0K5dX2qxcrBlSniMLY2XHB+rxd0h65mds/+bfzc0tpHB7h/johbXbyzpccIq+SuCJE4aOvmXfMw27NbmrpQH9zji6pU5gakyDU4+bsXCwkqp160DS+IZHHAC1om+/ZxtVslBMbbvsZ3OlW07ZpifASLbkshwy2nnyltYWBVvmNbktIMP7PwNkIRSIYwAYynxdvXqfLEgMz2Ri3FbllHmZNoh/ptOzWnOtFzd3bWVTagKYusdyK0C6HzPJ1ytzKkXBvyL9PcxXG+kgoRj7RkDNIrss5/7rPiVN/5SvO2tb4r/8Fu/HG9625vijb/zxnjr2//v+P0/+N14xzvfEi9/+dc3p5c/f3+qSUrE0aRVbUmxgjt/6lRMcCwahzHhuS2uXb8eX/KVXxXv/eBH45//i++Pv//3vyMW5pOxa7G5U9e+7DOf8ewywC2gRsfGYmJ4JB5+5EIBsayCOJjGgQEym9dxCo9oaF+3EHZ7O5qKALcaEY98Fod0P4c/l+Z3bWUtSgkDYlfOlx40mGSvXMYPgt/gOGJ5aT3W1zK5oHHx4GeueHIt7dT3a/HQgxebgpfV38MPXbYiqOY50ozJHlXITuiYcwlHADOjUGBGJiaOnao9RAcJQGmu1KdNt4XgCjuwIWWAvtZ0GgKHYiY0Vof2QZmbXZaPD8ikKo7+cnzZfOR+Li06ngwrFPBEGQY6ZXw0uRYPPvgQGGni89ELl4vzOG0RD2ojZq7OGi/IqEZ7PProZbUJrcAJ+F5cslCVvKjVwhNWcmMtrl27KhjyTutn4oKghCkEqCdN3gxaYJmfW1WUeyYfyq2ubMc+Ue5Jvrp7pNhMOdHgU+VkyQQ+PJRPG46zXBxx5kKxAHdsu2QiUHy4Ll26WpI143hKPKq9kO9H8S1BUF69ek1OnASBW11d1SSytralQKepAIMX/CeYnKHNzNV5JXgmrhTbQ8vLiyVvmhPmMjGtS+FoxPr6elx89FLMz80L90tLS2oHYQ5PqR+bW6KpktXWCFexpomZ9vzcTrXgdVt+KTjNeiKmHriWCZW8f/U6zOZJaGVlRX5el69cVVDBlZVVxXq6cX1Rk8nMzIwGIsrP5cszsba6FjMz1+Izn3koZmdX5eyOszfB/hbmHKtrbm42btyYU6wtaHTx4qVA2VhdX41rV5bj2sz1uHLlatQOD+N97/1AvOd9d8eNhaXo7O6O8ampONjbcw7J9o4YHhiK6ampGJscj1onivNBLC0tyur0gQ98IC5dmilKWiMuXrwYMzOzMTU1FRcfZSw34uGHHxE9/uu73yM8XblyReOBwIdc8Bfxq9h6unH9uu594hOfFK8sLNiRf3FxUSETTp06FXOz84EfDM7rTG733Xu/Fl/Ly2sKPooDfY7N+bnlwhNbSrO0sb4bW1v14ADD1ta+gqYuLmw4uWv9WP6Z8P2K8kSiZOMcjUzcV1JigLt44VIsLqzE1atOrAvvMH5Wllcj4X3kkYeDSfLjn/Di+tELF/Uc2lq41+LazIy25C5eQkbX4t3vfq/GHbHAuC5dvKT7xFl75JELkm8XHrkYA4MD8f733a2wHxcfvRpzs0tx7dp1TWAk3b569brWXFev3ojr1+fjvns/FcvLK5ItVy5ft6JaO46NtY2Yn1+Jy5dm4uLFq5roH71wJa5fmxOfzc0v6AADVvoLj1xSuV3xc1tcvHgl7vnIJ+LGjVm5sly5MhMXLlyURX9ufl7y4sKjl2JuYSmgHde1a7Nx/fpcHBzsNufPSxevymGaccf1yCOPaG5aXV5SGcYEX0bGhuO62kLW3dB2PLjmmhMf1BSWAj9Sdr/w6cTXlnGCs/vc3GJ84v7P6jT8xuZWLC6sxbVrBGwdlXy9fm1BhwVQ3NbWNuOzn7kULD42N7Y0hq/NrOhQ0vXrS1KWVlc3Ym5uNeYXlmP2+kZ0dvRJXs7Nbcbq8paUM2QoMmjuxkYszKEQ1uLhh6/FzMxGrK1sSEYQkoSApeghS4tW1njPl+Vn+fEF/XjMlhxAaXpHgvNPGn8BtJhYj/AX0goDmy9KjN9p1b5kxcj+/UW6VOZMBPbH7/1IvPvd79OJhB/7Nz9eYvtgQWGiwmR4FBcuz8dv//bb4u67PxzP/ZJnx4/96x+WmfDi5bn49m/7x/H2t741pk6RwsHX3LXZeNm3fGt88zd9Y7zy+/439ZE+v/ktb45ff+OvRldtII4PD6ON4IL42ZQEiVh97nra0+Jnf/6nYnFltcTz6IvxsdHAydG+FlgWthXdlgmgv69PAeWISosDOPGBCILHQGMlcMQ+MI6whwfR3dUV+/X96OnpFTN295DckySyh7IwjYwMyLEW3xiEFacw+ge6Y3PTpxewchBsbWVlvUS/DsUbIv4PChPBDRGWg0MDsoxhMdva3o6zZ6Zjk+zu0PnoSIIKfDCRQXwUAgKYEd2aOog4jF8AkZTxgVIkWaIBD/Yq6BtOrKxgKOsTD/CIt2xhfhQCfILoAydnUJ5IsEo7+LMwqDGhM7lykeQSh0T8cuy46v6z993R2aXnwM21t0/cEjJAkqamQ7FEUOjO3zql+t0f8kp51V0NQL2uP94/NydDI47BcmVZ90ln5aWB4+cBR3K8HB+q+h5H0WuxtnIYYxME6PSpD1Zv0BLHW5QhnKTpDzpHdVxaI09KQDppVr5EQOHnwGJLAeybjvOmFQo/2+OuU5DLEZ+ce7IIscLf24v+gR6vvKF7+hnRQvmeR+qz74qhhHN18TmDn4niW6QFxcrFoDec9D3xl09dv3/BlwQsJD2Qt4CO4uqVxTh/67R4L+tJmLKOpKO3sLlLmylsGpoEx8YnoIru1+sEGSRifaElCufujnjX8KOwEe+pL/Z39uLBzzwaa+vr8ZE/+ViMjE/Hi77mK+LJTzonC+B3/9NXxNLSvNwQOrq75GB/2HYQh3tO8PuvX/1DcdddT5ISCHw4eFc+VuYjxiRjyPK/JsXu1Klp4ZY+M/YIjunLAjHTsFQ4KE9baNeKA+qWJUJhPJy4muf4AmJpg4cUy0nJgamr8A9jVT4uN7fEb+Su6UsZxjN8qjhk/Z3OC1nzOCVuGXTLHGVMsMgeTSm1hk42Tk1NNBvBYgZO3IqPshPEk5NlHJyBdBxEULyt8hYLNxRwZI3rTR4w3YEXHgMOIbuBFWpLgVjpP/D7mD7+OyySbK1GthFol3cZ3zisGzbqzTrwB6vaIQr5+DjRqJHbBJbNuGsJEzy2GQMDzjIAbYiQTtBMW2lYjK7H6FgV0Rq4UaqMp7Ig22OOqGLPgQqHMLAPEl0FT/39RHAHPt4zD1mGkS1gV88LGoNdAw6KUB6+saN/p0JoaNdPFudDj1PxCXXsRF/fQLS1IXtteSco8OQ0/q1uE0UdPzkCW9JH87BjriWvOpZel62LDZ/k1mnCwoPATGyzM7dMNGVwwv1YuZBPPn+fj+v0LQfuWi0uPXop7v7w3XGwt2OHulqHVlr72zuxe7gVx/WInr6h6NA+8XF8yQueE095+lPcMSjXFGJ//g4wHmGxvqGheNpzvjw6+qbiJ3/iJ+PnX/vL8a9+5JUetJj4tAptjztvOx0/8kP/PObm/5f4nd95R3z03nvjhc/7UilCzM6HdSKwDhYRHtHV0R0d7d62AiozUcRXfc3Xxvk7nh5t7QzyTkWllQsm+csODuKBBx6OD77//dFoayjUPoHlrl6ejYkJsqMz0I9jbXUj+piIOMEx0GtlqZ/TK0fR1S2HgmjU2xQNO6NWY6Yk9gZKREenT9jA57291OmJZ2/HTs+kQuBeI/aaEzGKCsw4u7kd4xPDcaZ3WqtXoi6zWkTwWsHkVI7PMw6Rp0onqnxCYXDA9RIhmQuBioMuyoxPPdVicmpE7Vy/vqAo3nY2xjxNMDmfQMIJG3M7yhDyPidLVqEodwhPLFOsHtIxWfU0mCS2o6u7X4IRKFFWyJDNbhuT/ebGfgyW5MNur1OmdFIOhIKaOao4g96RbZ2i5swtBBYtVsSyam+le+t3C3gLJu6nU3byCM8JoAbNEFqcVMLVme0SAuohXIg0jsLX2Y2wAgeujxU8OaFwgEehQXkBzwgX5ZzSybO60kcYXo76E68H3Bp+hpSiVnd6f59FSR3lvlkGEhGRH8UMh2vPE6urazE5Nd60CIn4iglmgQ8sKDfKWC75TlZ3iwb6Tr8dH8bjhSLgWK4/asORun1YwX2i75lQmfe5LNgrYc/9g6PD6CRfVCljZYmJmTAZbVrVjowwOaU8sdULZ2kL6mNtOfo3ZdpjfHw8sIRNTEB7+KA75ucXlTJD/Cxl4ShqvfSEf0QCb48Pvv/umJudjZXNnejoGo7nPf/L4sVf8/zw4Q6qrsX05HQsr6xEZ18bJqA4jIM43D1SQMGJyel44pOeID4QzzRQUJhMzAvQmmjho2N26qYM1rjp6SnB6T8OtiqFqfioYDnLVDxZcGtzSxYVK42k61mKyclxd0fHz7djYIAURsg6KxzIp9FRJmQrjrt7mzHY6ROVJjvbMUTPTgdgb+NjmebSQu/IQU9NLhQMws8oaWVx9qbP1AbP8pZpP1jyDjJm2P6xEuBnqrksYqSsNQgwuRnNd9rNpxl+IXGABWJsbKy0g4sBymlO2IY4FST4S5Lz8CgGm4oOwRg7FcGfyPg+iXYkS6ETqNsp2jQ0/1EPFj8WFDnGaIlUQFw8Z0Em2KWwCAnCQ7+UErag2hVpnN/QxhZ7DgikfHdb9AeLZOvFSeAQfVzv7I3ZOK2o/R7rjLEMtgq/URPR+nu6WOx4/CoFVaELuB/oG/DYxOlcEev7Y36eaPvjwhllND7LYolCzA9shyLv7OvEQQqULiZw4210fDR2trZDAS9JiaLkpsi7XJi1KfCw+EThDRrKgGCFvdC8EVKWGEMykrTM2SmXW/Hz+f7++BYmVi0R8d67PxFvfss745iouL3dceHhB+P6tZmYPnMmnvKkZ+j458zVy7G0MBuDg8Pxw//yX8SLX/xlGlip+PyFO+AtdDOeVklH8Yn7PhPf84ofiPe97w+iU1JaezAWduItM9hvveXtsbWxFd/zXd8Wq1v1ePnf+ab4nTe9MabPIKA8cc1fm4tv+Af/KH7oVa+Ml73kawt4cBJ1sCdXCYvmjNOI+MjHPh6//Za3xi+85qfgH/exbNEUWd8UDiqQHS8+RY546ie05Mtw56DxPTAPw/kYvvm6DCr9cLwUw0vZrK18h1k1GVpnzHaaK60T5QsYrR/FYnKSGYGHrT6Y2DB7ErDgZTC5fMJiZqe33NdgKwIXoeWr9FPWyUJ01e/VCROB8Uo5lzUNs/2sp1RXLI4uwwqalSXP+FMpQaX0SbgKjAxcw0p7vk7Ar3KF91S5++a+0+eb22mF1XW6Db63PrMgE35Lvdm+V322wCWO/ZmwGk/013UbDsMNrASHMx1cZ2u7VT95VtExW/en6+K9fLfctype7vuZ8Z70r+qp6qjuVd+w0olbSl1esT4ePfROUSQqeCrcgz7e4zLuTBNNSqJPVZZGwc3VmWtxzz0fjx0iffeNxgue9zRZuRiDrgroUEZrcX1uIV7xih+K7a0NnYhzKAtS/wzGj//Yj8bTn3arleAT/MvbiZNW2uf9pJ1X6+43/YC2bjt56yTtBdYJXvYd+m5LUcXPWU+2n3jgPv98FN/js4L1ZHtZB58FyWqwfFfVVpRsiUpo8jPfw5rjE62teBH/NZ2I/U5FTwgrIviB+JpxDq/A3+DKsiNbS/44yXvAh+UIK1aWd/9PvnfzPePUvOV+AG9aq7Mt6qjay/4WkJuyEPxyJdzI9JzTTr5j/Hix3QQXRFDMVZRRKOQUuuTK3ZntAAAgAElEQVTDMhj0kz/ZXz6TxlSS8ORzQdYi7y3nyyBtTotaiEvls/+ueCWVRLFEK0yPJ1+KdaoEzywCzP0q/IUSS8qwoeH+Qn/jtxT6gn+AoZarIFqTWMTXfNmz49de/6PxH37l38RrfuoH4pZbJuM7v+efxh+8803xhtf9SPzK638sfu/tvxG/+IbXxqlTo/HMu56k9Qy1/GXDDGjA5gSM1tVoj2c9+xkxPY22Kyr4iChWLQgtRcdj/ilPvjPOnJ3SltzwYKcilH/kng/qoQVmLa5euxz1w4hz586p380JnFMlDY5sJvOI85u4qbV3xJGEFzBYgcHnpCnPyJt2kKtrMGBzr/e6EIi+1xrwjAGLXwpRbs0N1HsQO9v0q9zh6OUhOc/q7jc1k4dITniFXjh0y9mcdzqCaLaYhR1ThS5USkup1YOkvO57/iErlNCMyXi3OPaWExNyWl1xcQGIhWm/GXuKUczRayX+LbRCqNgB3VttORkgsLjkTCxzbRWnhQZIbYGSyXfe4fQk217Cp7qEibfFsRrLSkkzY4HIAPXWXwp9f5qHPJEIhOakVNHS91vf47sEeq1NcZeMBE4ikeMPOCxURGfRB78t+mi8sv/PV08Angi3t9j25PLv/T0LMeCnfiw0GWcpt0lw0vX2gfG3t8ekweoL3FAXiiK/+cH4IfBptsNztgbsU6SmlXbGwe6amkZx+nYfDTPbRB4r7g/+Ov5GKfOoneFLu8QYqzvej3rY4ATsnnNRmgRqbmUZPBWFrtaIlSVwCf/Thzy8QJFszb5e7iwVVfzFd3gF69LiPEEajX74ZHkRfwjZWsSZ+Kb8yb2finf94X+OP37vB2PnEAv5c+Obv/Fr47ZbT2tquXZlRp1XQMmoxeWLl+Ps9GT84ut/Jr7mRX8jujoGYnhgLJ77114UP/nTPxFPf9ptLYct1GsF2Uw800/8RrAcCLbAZ2w3lpaW1VdhrlYL/G+MM/7aaT9jjvk+fd7hUZN3LpcAv4k7Vv8VjxPfZr/wgbddwAVbg6qkIIrE1Y5jZsSx7YtlVJYdtVWTn2AGO2RMcKhiXwdOUjrjb2feBLrClKWMKtFYxneo9RJONF8jaxqBPw38I9C0mxAxez19VIHaefkcdBIyeSuzGnNehFW8D3aPY2kFmc2iEp4j7lTdwRUFjPmOGHa+GI+NWFzCp4yDOdSBjKvbws8vmomjuHx5tsh4yhyKxoVAeodyHETw1Ra7ewdyn0grKR2duXajiDfjn8MaN0rAVZ5DM3yQaFFxuGohX6G9EjSW9uB1+iQZIofsWuzs4aDOHORxhnWs2T/G2BaxAIHbV/2gEfML+ItBEKsIJF2H31yHt/UUYLnMwUQ5vzKzFDI7m7nlR4hfXOKBbbzmfCvmbZf/HfHtqBeBghXUfpyGBSUYnyldFYj+/UX4a2w0GzZEkEsdKFBy95MPPhJ9A73xz777f1W8GPktNWrK//P8Zz81nvulz4yP3PMxhYcXLgrSmlX/qV9AI4OMf2o9orFf8HwkX587n/QMJTYUs4ifjpQgmICIZq9aPPTQZ+P5z3u+6iDX3TOf/ex41x++V/W0YSGpHcgB7/bzd8TTnvqkJkRSpoBXiqJRov4XBiMR8dbutkP305guC4v8xSdxc3Bw9oTXVqVV0NTiF2W+TvwqQ3SP4g8hyul/W4mbRD81GBuNuPDINeVicw3HcmQeHsIHgjuGGx8BCUsAadTi2tXZE6Z1yuqUiSYeKNoWV65cK+Cb7levzpRVBXQ4jt6+PjlaV32shU6QSNg4rklff09cm7kRJF+lzm4skZcvxZFw6UGO35OmKvk9ADED16vqXKH1NqOom/fIy4SSoHEkRYPtMIeaUL9x0he7uB5gVAA9IQmesLO1gmZKAbdQZVLnfeOObSP/zj62Cpa8l5/5DpOR2VvSUibvxrEjrSPUEPj4kmn1y2+2zsqJOL/n9hFurb+lEEoI22JXTXgWzLSvYKIKZNdhhUWLSGG0KDDO4Zaw0vbGep5sNJ0zmGqWYavU0YArvHj71OWBsburT3QDF/x2bic/5wZ+H2xRSOoVftcCQvC53NbmtrYfGe20zYTsU4v5WlvMzjIpWgGkjJQ70bS0pcMI6yVvH7CQ2NoBTMVZtVpMTk7Ghnz7Ci/19eq0EdVQy87uQXz0o38S77377rj/4ctx+213xLf9/a+P0b6OloUefmAsn3hDAMT58yyyanF6cixe9crvit9+0xvi1371F+LVr/pn8aQ7TotN+vvY4jLfMx48LlK+2b8EnyYptUzgS8sxMYEvj0aIxryim3MHK2mEHKnxbdQP3UfZ2Si/TbOFBZ/SKsJQOfiQA2ml6u5hW5Iy4J37KBx19dHl2jS+7DvosczYZPKlztwOk4KkQIn00Vvr1E0hkicDFEmi84JXoKO3+bwYhe+1fQildbqSLeBO4wr5dNwW87NzJZcZFlK/t72dh0k8lufm5uQT5D4SOHhZvIncFO5rjp6v3xqHHAwpdUgBadM2NFvWekUdbY+NjTXJUI8Pb597LFOqTRGscXnwVroXccTS09iX5GHbrvigFUsjsowEvsgG6t3b34+x0RGjqfA3B3WsyOHIWZOf3fgYvEG75Nc8jmMCh6q8570rlx9t5kQE1zjYs/WlQMNtZH5FYeL0oJvik/6KqGWB0d/fE7u7HBqiUE3J4jnI4nbhFfOt52do0SZ/2T3JNPM6iwpcJ4A/8T81NaYDIhwYgrtxXbFVz4s88DCQbibFgMhJYaX1K4tN8w7+ZOaj5Ksv1ucJhckMchIUTSCyLCzELafPRDfYYHJsEYQg6dTpM9KQC21bVjcn6+MXE8HNkwFcYIYjc/cOaVfjsHEISePjH38gXvD850gWwCuMsU9+8tNR39qVgEPhmbk2r2jYp2SJItddI176sv857vnkg3HxwsWi2bbFf/vEZ+P7vvefhGS7QPMgSIY6AW25CbE5QVZ4TkXAFcH7qquhxKHkD8q+HSpibCuha4qCzbuUQQ4w+SKE6AOrDYQQlgW3ZUGN4xzZyF2vA/etrBatuyDc1i3eZwXZFr39vc2ovQmj/CLEmJKAElJ+5taUoFV0xVqCA56dU10GVjmWYzjMCyzAjBDrY29eW49ER96TD1O2SQ/kVF7ozn0cth0x2MIefGyXU1M8x9Fyc2tbCTkhgXCtaNrgCNwVAbqD47kVSzEk2dTBnRSk9sANp03+Dwhmv6OJJoErSq7x6nbUrxb+fLzfRJE2axhvKIQNxbphVDuqMhnmNRmU1bEHjPk+eQ2n/vzOZ0cHODbNaTeVyQRXcAr3FkrwJROctiIgCmvbg9yOtGBGQI+MDhV/qVKmhFqw4uJTgB141TYtUw4BkHiGJ3GStgA1vvfrVeRv4ML/CRS7P26HIHpY4LgHeGPjY4IXljWfMlGWPhf4z99KtnkmA29D9vbg9Gu65wAcHBgspysBmQMBOUED27H8ggaH+iQ74CV48glPuFXPOGn5nvd8MC5fuR6nJk/Fy17ydfFlL3imttjknC04oGsjDsm0jnLtGSoeffRiNdHEUWxurct/T76ObIM3PMklvYDXEdShlEUthxHS6kEf8bmZnyf0gNtkjN1yFqd394U3CTjJibPCGuJv/FRar1vPsxVYSESccfyIyklWxg8LgzvuuF1FFECQYIT9PU2rCXg7PuYgCvxjWI6ODhQIUXxXGmfRIl83TWhtityO5ZArt8fwo8kL2sM/tsIaB0zQTgsEj8MryEJWPwX+2rF8wXAS5lmmXbLDNLwAQzXi1OnTwYnC5C8UT2SS6+SUN4EdUVwoT+WHMTqM07UbgtQ4ONvvSa2rLM7MMKyKESmboJr6BfzHTnRcThiDW+rBR9NleKvd9OIdKa2W9/i+eZ5r6EDQ0jKWRcavx0guqgQs/Ts1HVuKBu7xgzwgRRfkybH5lCc/PXZ3nUKJe/hi6eSpyuhAv05zqsdCVCOmJlHCwCMKeSNQfDxv0c9j+XBNTva5UXqlgJn4aBUH+sAyt+f0NlRc0ENwy5Qp1LMwP69DRMzh0GVrCwub5ZL7bH823hF8SsfWXdJggWsc6A9bfLKylIp/Uf6c8GFKCEBQkV+FuSLu+fin4nWv+6X4tX//2pLh2igHFTj+vvIHXhXf9M3fGC/66r+W1Wiia/5o+eIBCD3ExSJIMvWHPvSR+IEfeHV888v/bjzxKXfE2uaGTqB9wze8ROTlneNGLb7ne34gLjz0UPytr/ub0TvQG1OTp+KlL/0bdkJDaRCRIu795MPxvv/6R/EVL3xh3HPfffGMu740/vpXE/UbIlmSU/ZzXQnrR++9P972H98eP/dvf7ys2pznyisJE5xTAePjZBn3AOFYN6fZWq+T9/wejFENNuKU1KO3n9xRwOWVOA7ZCDguYCLEweAQp0PcD0LK9yhSrCc0t5n98j0UqWyH9yTEJRwTwiyvVrR9gOMoV/bJ71flyG0kh+6Cb07MoFwqci+g1ex0iHNl4hnhjVMxdVb1JgxQhoFEstFOnaDjCc6ozOnpjKx7dZdJ52MUaSYoO33DmcaNRzRvFIDke+YttKQvT2+GpfU336sLfLquXN1aaFT1u00mLRFMlhQfuKNdyqHEseXG79a6q1Zav1Ww+N18huA5AZoeVHBU70H7vPJ5abpZZZmMyvZia2mKuAbKcNmyh5CGrzwJcd91IyBTSUhJ4feEkCKwUTJyMjO1eKeCOevjM3FEOVasThvDhONtjdIJqpMDsVf+3D2o1+MzDz4Sn33o0VhYWtVE+6XPvivuvN1WIbm/wTxqoupp9sVwJyyGQ61JTlY8bDp48uNdfns7q8CumQ78mfeqem/+ljAkrvN5hQPd4acA4Uv+4AYjLfmfktST9M+69WJWUHBumkns5GM15DpP4oM6s13LpGqMeHxosV1kofCR3NHkl2ykKBYFxJRp5jHqoh33Cr7S97JwKAjQPf+xTLfs9B3RQU1le6W+po8YDeec5y3tql4rCe5bvk+9foeT2o3jysotKwwplLRQKmWEp6SB64A+Pl/bCjryAlwU1JohVYBo2s7xmeUpRA1YMXnPzuRgyWOx9EdsoT9ZaZPmWZPpmPBxNwFgbNGH8r7RpoWV7znDR0OLrdK+XuUP/7y9ah7NOvmkLazR2WY+S4i4XxpL0PXIP0yLBCbf+cJ8nlCYNIk24cAsjjAww5Cn9Xu/7wfjM596MP7BN700nvGsp0dXZ0/c/8Cn4nfe+q54wu3n4/Wv/xl7xGub7GYkPF6HXEYEluC0mCUkwN72lvIznT53Jro6nZmplBYyD46P4/KlxRga7I6JqWElFVAVCT+FC+GPascxc3k+ps5MRG8Xp3syM3xR2sRwjwNf6QIi+r999OPxtrf9brz2Z35StIRomEiV10mD181J7haz62NqVH0W8LyfqwQPaDMDTOZJiLfdGZQjHQMvjHtQPyopCtRJlePkSTcKk642JS0dGkLZKZ3QlpVPc2W9iwurMTE1UhQZfAA4VZfOda6b7Rw53JWaF+aXY2qK0zhWwsDl+uZ2DJHLSjNGI5aXNmNsYihZ3nOiFLPsoxVKMX4hmnnP/VXLRXbQLOXwrUAJ8wTkPmGZs4XCsLpMJaSoGgseJ9gSD1hg2jll1pxATipKpovry7YtwPnl+3UlncR0za02+U6RXqOjAyUUWDm5tRXjE1h2jDhOCqLQchpLt5Tz7DC6SDmgCSFx4/L6+zi3QKr9Q6nFPIg1IceprFpYp8rpPH7jJzM0VFkk2GbhdCL94vnRIfGhyGvWHqQPxIpAjCZOvXDijhON+MNx+gkFD77HT43+crLHbYIdcsrRH/umYf1CUSacAitjEoVinYCGjBNoB30ILwHt6A9xvvoHbM0l5AKrbk4cMb2kbxyrW6xmKOf7ez4xykKFcAlMKsC4sbkcQwMjMXPjetz78U/HzNW5uPPO2+LsLWfjyU+5I/b3dmNsjFNKHIvf1Sngjc1NrYjxixno748bs/Nxyy3TOrre198vyxDbTlii2Nrh5GZ/f3d09zrcApYu4kt5kVFTf+FRAu92dffIqkoMKE4swhjAiZV6ZGREsb7Iz8dJw9nZ+Th37owSCLNlgb8Yx83BH5Yl4Ds42I/R0TH5Mh0eHCh8wa23nVMsLxYV+CP5VK3HAKEs2HYZGx/VibqhoWFZsjkxRWgHJYttY+vlIEgyjN8k442wHNOnxmW5hLbgnrQs0Ab/uUbjQLHChoZ7Sw4ymxmxGIEPLMWETtnd2o2+wR6NZW0rc7ITq5Lkgk/ncWpsb49TVT2xs7upHIhHhwcKR4A/E9agkZEhLRbZtoS3hoaHY3uLhNRtsgiOjXFKjmSx27IOYmGEj7dKzLPl1bW49fxZ+foQgoTQCuSjw8oEXnGJIB7S8OiQQ8cM9sa1mfk4e35K/rTEgiLlD6d4h4dszQHPn37goXj6M54sSxquDBvrWL7aJDvxdWUHgPEAnsAbNFrb2IqzZya1fUputu3NvRgeHYy1tVWdksbCR4yxU6fGpHxwIpi4SKNjw1E/2BfvsmU9OTGucDUWpTXJmK7uLgX+ZHwxIAcG+2J5aU18xNjW+MFCrxRTvTolR9qVevGbJC7W1NSotmQJ+8JJu4EBQhXUdMoRP1kW6aOj/bGwuKaT4w98+kI88xl3SN6wPQ/s8NDkBFtzGxrnuEjwjvys2joUA2xickDWSWIW4r+kUCsB/5Dm5SCIoXXnk86KrvQFWffFunKGbbaPcuDJxCthTRa1WnRGI1778/82Pvihj8SH/usH4l1//IvR19MTd9x5Z/yL739FfOVXvrAkC/Wkl5Nys+LH+eLJpMwoTJA1PI0innj7aREylQqvPanREwNVESPpiXdguq4u5mtNwtxKJUbruVrcduspPaM/7mPLpJ0gV1X5m+5b4wdKrBfEL+JoMBc+M1PT47GxviGhTkwQMlBjcUH4EmMDB0gYDTNpR0eXJovePrKYk2UaM7hPszCpM6B6+7pjYY4QAT1B5vaenvZYWd6O3j7ilPRoULOiQbBOnxqN2RtzMTQyrMB8585NKBAZA21oaFx+NJhxMZGfOjUZS4urcfbctPJhdfZ0x+buVrQtY/Y80iocB2O2tGDS5aXV6O7plw/J+VtPB4oSApDAiRwTZQ8/2jtjY2crOmpd0XF2Mq5em40zZ6Y1CFDetrf3oqe3WxazyYmRqB/WY3tnN0gmihmYLRuUP0zoBLI8dXpc0WHJRUXcp4nJIT1DkWOipR+3nJ2K5aUtTcz4Cd12+2kF0+ts746DeiM43Uu94BUcEaTt9JkxOWoCy/zcetxyrgiCdnw0iCFlMz1bN7SDQEdIEB+LPuPkCV1waCfUwdrqpn7XolshBjY2tzXhjoz2BgEBd3cOYm9/J0YnhuLGjUVZvNZXd2NqekRO/Vsb+zExafqcPjMu3HIsHmvd+PiQfPYQ9ATQm5gcVTTibW0/ojAexsTkiIQ59Nra3I3p0yMKQqgJmITPcRRsZXmFV4v52eUY5Bhw3THACE539tyUtqpQ/hQXqp2QCP2xub4Znd1toh0TDdtFQ4MofjVZOBG2+N6ztZQO6UyibMcQI4ztCw4x8BslHgOrdlDb2fqzRQ0FrEF44ejUOJicbteE0tbeHqurHJefkCxhUmSptLSwEuRXY3yheFy6eCOe9oxuTXpMxtevz8gvhzhYB/X9WFpeik898KAUISJGT01Nx7OfdVe8+MXPVxLbtqjH1sZG9PV2xS5joK1dygwTChf0R+khvhoyCqsw42JuYTHufOLtmri5PzDYE2z9ofDu7O4qITF1IYOYcPBJ2dmCPhN6Rt0EV0Q4YR2GrwnISpiKW245JRkxQm6w/QMpJafOdAVO8cgsPuGFa9duxNmzZ+Ly5SUpTIoV1tGlsBzEfEKOoFysr21J+SR+jSy6TE6rW9Hb1ysfL8J4EK0aOuJHxhY5Y2dv5yDa2/GXQXk+FGz0FaX4cP9A/NbX16M6SRnT2QnNvUWd/MUkyYSNb9nQ4KASp0Mb7iEHIX29vhNT02OSZ4y5nd2NGB4ZiIFOlI1t4bu9zcoSsmBycky8SIgJ4tWdRs6sriqWESEX8AXjIiAjB3oOD+vR0d4Zi0tLCgPAfEBgVOa2jc0NLfZv3Jgvyi8+fpaDwyN9sTSD0j4gPiCpORbLjY0dHVDBms0Cg4US1mUWYMiu7h4rg/gmkUYHOrIduLKC68RxjE+MKhAjvmhbmyuxvLIaWtDW2Npl3uiIg6O6ZHxf/3Qszq86nl1/v5Q5chhGDEjpvaVvKuqre8LXyuKalPThkSHBiIVLIVl6kE0sdodiYX5J8ME/hFlAMWRRjnyE15HTXPQN3unqdpgQDgVwmvH4eE+BTJkOF+ZXYmxiWFoCyhU8hDza3tyKbvmhEoyYgzD7otNQz6AUf+pn/CNT0DAOiU93RBy/jmDcLy8uR4/mm72YOjUi+rMQxPftpIL0uSZrdeHz/udzWJgMlJSlBKGYCjEB2pRotYMy2i6XMvMX60zW31RySlvcz3v5HQJLZSqKEM/zmV/jOVelfbY+z+/4smTdlG797vcf+5d3P/iR++Kd7/i9+Ll/9+O2DDVCJxjsb+DV9erypoIpDpGwUikZCFbJxFLa0UmhIzGJ4XdQNBweUTBohz5yaqF/QOYLAbO2sh/tnccKDkmZzQ1nhR5RzBErnNevLcUtZ703zcoGZYItrSHiNAkn+Bft2//AFnA5gU9NTRZLUENKEANPJgJO56xtyHoyOUlYBpvGP/PAw/G0u+6U8grGFxY3sanEqalR+QwwyIjoeuttZwQ7XDJ7YznOnJmUgEGRweJAP+0bYHqtrhC0zatDniH8Cb6m7bUapwJRHntkpQFN9NrB8Pr1A3zu7tajq7NDYZnAAZYMTugNsXUp8y8xbg6ipze3wT43v7byheliGvId51niyMigFgSp29aK0FtuOKmGIgWfOs3K0BerpFOnWaWq6+IhhJf9J8Ck06f09rKGMVysSpmQ9BMrlLKcY5HBYmYTHAILKwcXeOEdYj85cCB3sRIsatKmAsz3W9u7MaB4YbTTCCY+Qlm11dhKMD+xArRljn4fx+rqTowMD5QYKo7mrfhIqiLhRUHC2oIVFf8q+6i04tLYELT6urd7qPHgToYmVJQV+9F4okahZqJLGkID1wkfoeQfKRAogQ7vvvtPZBna2tmNicmJeP5znxdDQ71SNG1RAtZ2KUHVdnlDkzp+HI4hBDS1WN/Y8GRbgCZmEtYgQY9Cu74ZHi/uP/dRTlCyfTHmoFf6t0BnfAO3mkEaaak1ZhS/iR79xCfeXg7C2GJKpHasBO5765ae6cWkYj7lNzLOPmCJ153d7djbOYqxcXx6DAdWKlbxyFYUPccT6y6454QpVgwUHS+eqYuJEKXLjNyQ/yVby8S6gu7QhZOvPhQAFsQgmrwdH4i2fUKPcZnymokaPKkPteNYXtxQvDccmLHqsYjCyukYbFX/sQ6iwOW2HXAlf1Q4KeSIhq1F57zQBl5kBgF/k17AxgKppw+XCHjuUPK21VrPiVcsXcaBaU807zvvfIKqAZ/LSytaFLl/Ht+bGyys7eJAO1iSzE/QDJm9HGNj48qqgH8jNN/ewcJUcp4qdchGDI0MumkJkzbxrgNV0jyWRJLpmkbIhBxLSYubP+fnNmL61JC3kBX4kvfhA/MeVsStzcNmzCRkK3PD0IiduHNsXp1ZiPPCrXnwytXZOH/unOQHcLEAGhwaKv6H5ltkJzGd6D+byJwih9+qcdgWi4srMTE1pjGZtC0E+4J/nFCY/qzWYQQxoeiC8IWn0NpBBx2ulJU/qy4/B2mVsKneMYNVv1u/GdFGXGt73Odfda8VuTd/b63x8QV6SwniMN33qXjH298RP/2T/8oPcKg8IghX1a51Ok8Sbo8tD7YxUpiVVzXT2tmPVTNO00xKrFTlJKt4UN4HN07zmLgZ2JzNBAk9GBAIR9PGLXirZW1tW+ZP+iddTA8RKPYBQZlJ2KoyFmjgkrq9Lcsvw7u6vCEnVJgbj4dj7aGTUw1S2hzfOO6IGnxRY3VCQJiyNa9tCNqv/FTcLj5ZTAgIUPfrsXwBnlNJNp2Bn/+ZUC0YgAqfAnBOTaXfYlT6Y0F73EAAQxPXdxIHORkDB+20XqVPR9Cp0D2dOsV7Lgve6HdbG0sLDZKCC2iElTThSj8fWxpJmUIgOPNO0pey+Y5h88SUtMnx4760Qis2a3DSrC4HTVPMOAAGkFd1kbpZZRtG1QNvlclVuBAeRWjxRmtbfl6GIO/AO3yU48ytbSXN85N6zGumse6Lu5JXVMJ48VfDDo8e05/jWF1bjw98+KMxu7CkbaMvf8GXx3Of81QJ4eQDlKBUCBM3/m166J74j2KNphuMcQW+DScgMN7UScFuGoA7eCk/oZMmAuiNk7Ted8R186z5yxOT6/dJpPSJMV/oeQ0fFitipr8VosShP9PnBKC8PWz6JqyGM/Hb7CAd4tL45YutJ/BuOt9Xz9PK77APrbgxPk6OmVb4zAPmM/gFnKAIGa8V/5oXDCt41vjUOCpjjjFUFoHuHzCpdit/RVl0PxMPVuITHmD19+K3VZKo008s/bTpy3LV9AOmcp+vhD3hBFjxyWrWV2JCpXySTG8mIi59KLOm64PPscy4D67PY1PbU4xJzSGCTtvOWjxofAIwx1ZTIhuPiQ9bwszfVpQ9Jk0LdaKMPfO0HexLn5PHGfeM5fQNFM97bFqAMA9a1sEv1G35Z1wlD4KfHDMeP/SHMrQHfZB93DMPUd7KMrRKuUgdX7wruUIQeAXH4Hrs1RQQ9EiILK4XDeL+2A+DMhUiHltH3tFgEWY+V+cT0RAh4TGjqXm1z/18Rs3Uld1JpnSLmihELJiimhATns/1mXByAoxVYR77VmtSbkzYZAImUQ0aVQiTWjEo9C/NpPKjWuQDYlQPfsYAACAASURBVGZBQJdnGYANPm2wiuaibzAVSonvuEtF0EAW4cUDDThGR71yoh++wFcReAw2KUQ8o44KnwVVTeblmXxDam0xNs4KOwcH62WUpcQpv9qLMkGd+CiUGUinVyrFUcJEjwwb25eJ7/KSlY0COR+slLLP+l2EXiJEtNU9cJFteaICf/SDrS5PAtSXQhMYEkfmEfX5BHsWJYBJT8qScUn/si929DT+dVenSW0xqurjPdoCLtPOfEK04KQhn/QQmI0A3ufyJ/fhB9ryxOVS/guOxIf4KMVh9PWTLob/rVz4PQs13lA3iwMs73GJZ3Ra0N/xxakmWJRnj3XKoSD4JX+IV8uWRbMut+JiZQyqjdKW+4mCUNXlPrp999uYZnJxvaHtNxy6f/9d7/7/qHsTKM2Sq77zfl/umZWVVZm1d1fvSGhFIEFLLWEsBstgDLYYMIsPMBgbjsfYjFg8ZjMCe4BhMTAwZvAZfHw8MxyGVSCBFpDUakmWQHSrRbe6W91dVV17Ve778mV+35vz+//jfu9lVbdgbNQNr07W+957ETdu3Hvjxo2IGzdicXE9XvKil8bXf/U3xOd/3ks0J5WypFE2Shnlj/yWpXnDIfo8Ue9NbEhAESw1mlbsvOxp6cN4KJdxFY3MB2hHZ5u0JxU6Q3n6/PKSX5YFfuwg45kuDwFnBjb5744bv7iUFXD0b+Oebc9Slf8DKmVH04Kif6GtMqZwFwFTBmQqacuyTHefzqPzhT2iXQHOb+/QNU2ME//XF0k5/NcibL2Ab1q2Q3BmGSlnQowR//OuwKkyrpd3aGtgpJ1XhAkAJ3QSs6T7aSN1ScGiv08QSJkQXtqRjF4tMIqBVmNPTLiMy2RkUi6YgMk6MCOePEVudY4eZp2sIHhUaQnRfRZw8lBsl8T3hXJOnw1t6zvFKesPsLryUXNNLaS4iDhsgBlO29Cua4ihOrtefbkout5ynPIAPuDoPgZ+Sh4hbJ+2NV3BWOEm+KGqIOOt2FyjDbltUR/CPmjAXIjpMyZN65JR/nPWKxhEzPgR+w/kXR6z3psbu/ZdFY/49sJdUKi+SuPnRc38bHkWFqNrQipji7ml/Vfm3f+2+QSjnr3i5OULW0JhBmMJvVNyd3DMFGhWRSBvhuO2bHzpIKUL/FLKrInJp/uN4lMHom3TQ1JmmR71plOuLTFSwjjXImwuORWuLX/yMb2bB6+KRi2C+bEF14oqZ+hwprMAeyR16cKK/EGsPWiMHHyYMXxc/ytXHFvDtHdwNTvJJsactZYByyivUjwnaCNF1WLXnw9C9RZfHCfXYklr8DY2IOGZM+dsFGHxE9tpfiEWl1jrZsaxiq0N/DLWNOOoegku24OBAa6eQla54rTxczDFGlcal7Z0F43JDsRe13QyLe3Xod+lA4WWOlZODKATwxfHy3+GTOvPMmoFIB7rdf9jkRP4n2y3guLZPKMQ2gZBRVGoyXV3NNeuLZR3Vko+dRx4zDBQGHSA95TJHx0nDprmDSlsPAC3/LWIW5QzQACxw7mVMHjaOZ7jU0xr7INB+Z3ZyHAeDgF2vYzz6jodduJv+lgh8g588tBcyyXv8Huwgi3ldtMAaxoMOVOSMOv6Sl60rRtH7Sy7HYvz+A1lOT4yRwq1j18r2I69ur4a97/vI/Hu97w/HvjQn8SR4yfiy77si+ML3/C5MX14QD5DBJo1R72hAfq402a5I2M3gb/PbJSDrNSdly4Jomfae+CDMcRzyvHGGqEW1KO4gupIsnM1XJYJ1XG1aHucNWnjiHz84/ywNDjQD9T1wnkOr0UHU1bE6vKaA1XKgDAOGQRRdaqquHTpUmOGn2V7nwVpQD6WxkFCswNtxuMxrtSrDqzLhopB+eC5cigKgvFi6BS50EyqKWQZRr5SnslF1+7gkyzbJRyC7OLr47QmIUszljWnwocyZRAYlO3Dz91WoCnBSJMfcDoNDkEoIkU4ltSr4HPxErRVA9SsPt84rJqypQeqSr6edX1wkdjRXJsbDTTYk28aerL0Vjrv05hTcH0Wprsd0wtDwLPcrcDv0THIXB/+R99ygRNwcVPg7NGkMMbZ4vJKv7WQlgOF1VcqJ/5Z6zpuSHXROw4Et+O36Usw0hKwVN9xZSD4cBbjQRqHxBt3+vcBxRckOW0F3cEyvkNFoNN8KsV1HXxOXU18+ijqpNUT0ZxVqKYOJjwBvM0Bx4B0aRN3ypSsSw8bbqnWC3JDG/avNER4YaRhY4o1yNIAaLB+CeFoHyasX0OsZt58e9NdIz2/paHmn94UgBb05yKSm60h0ACysSbuqoRwMZOfC85NmD3LC6/Lp88D6IGvBaYYZGW0j2Kwle1G6RmypKPjlrgARkqMBuqRbTY+jealmI0zBo12PfVHqYzI4AMzBmZhC2UrmpopOB3jlyCeabkOZ0XyGBfufM44Ofj75CjNjdpT0xmRG75Sb5yPuXIkMTg0JMNG7+hau73oEAxSaVycDbAsFy1rCmB0Ghb/+7efSevyoDMtlIOK9Vs5qCrnY7Fs6Rd8Y5YgR3QoWAwOHJq5shE2Oxre0wkmXIoij9O6Y+Qb710QyqSl3Vh+9sBhhx0r0F6dOgHcWg6H0OdH6MBjoAAvlxBxKvfo3/gZU9c9ceOePJMiNTJ9etlYS2MUx9Y9xa9S2+xnTUo7nWRUoziX26eZC9P/tBlf4OPzn4yHCc7OrKQb6TBuNTOi2Zs0msxD50u6Aq/UtCLYKzNwPHs2EmNUQzCVj3ItwqJiffbaQ3/6ifjN335nXJpbiJGxqXjtfZ8ff/tNb4jjRw8jNdFqc54fWDGbCE8Bg0FXywFlIsNqH5r9pK3ore5kVEegNK6HzxSz7JOvTXweCii4ITe1/xLpGPhRKLIBfOIh+XxGyRUltSLyrLZCFcmkG4nfAGNC51VqPlf44WhNeckDG3NGnf9xpL1BMVMhFZj1rvlQ2r74kXToabfn4cP46pQLfcXsg/jl9qiZIzVRd7SkrGUH/hle6hTqhZw0tTd4yvhwdRVbi+WffnBU2lXFrsPmwAQjEKPdmaiZvGAKDItYK/akj0EQctAunRI8eYYfHHzu7yWdzKNM59kv7dNGF/TasbuHgeGlOEsMMocsuXD47pnBGhl4hW+hB0sOj5IDU9EMn7+MRSWxKoONHCi0oBE74HKflumPvJuf5hFL6HuKsA/+vtwHefBHRc0/vvsdOo9YTqm/yIVPFBepSM/ZjsBhEELbombwSF81WG7FJgey94uF4KV8vRzQrkzRufAM6OqilJClWbuvuGDPWnGyAWeTcqWsG+oL8/8+H6YmQmqMIpSJVkikNki7g4je7E9FCNxnSiW9/JhP+ytHOZ/u+/7UL/wT+H7ojx+M333bO+KnfvyHJSTQh50mfYe1ss2enQmKlyRhyU6HOmgROEJLbI5BZDrUSs80dsNIHxzeseOFg1uTE5RLMEvnp6EOyArHCVfxOtjqv0SehrLTkRgEmcRRzw2FyN6nT7Ndk4sp4+U4fLiOI0Ud2fFx/PjRkiaKozjO5YW3zCDh/DrFTiq3EGaLpOChSTmElY7RfkN0nHUHLznrGwH9YvQjv3Fnh8ug1umzZMensvFBKTmlrJ8yBNnZ1B4so5piHGWnlyWxFODYTsDYL69Zfs0ncGf0GMUgAoqXJIaG3DEYBqNSTgzngF43dBSlDBNKkfJODPKe5XPn2o9LeXnDDUMIBQgW/E4Yzq9y6KQ71JEOFlxcvuqG5lMxyIPzJg8JjTCgoJK8x9BvHDbawlG868i+fTwBZEyeDXfTMjsVdwbGxYrVkoIBC20LjUpt6Zw4ZHRzfTM+9tDDsdFrxUvufmm8+J4TcpLFQE0fQLKg2BVhu6+YDSg7cncwN9KXwUTppPqzofvpQh0E/wZ5TTlxKVkW7Zr6Jl245yCnpnXCbOatf7udesaN/C7f3xN2812ds/+LZFpC/vTpUjbMQ4hYjEHxtEAr72pe7oe5nw7UMeWtma5upylrLjPTmDYu0TBqGvJcBogNY7GPszIZTl0fXvLOsOr3+/WQy0scCm372aBFLutlm7sRz8yL7DZ1uiE3/5d8qh5iTik64WdKjIQcTNi8dA2a5Wba57o7R1Nunh03cLcBKJ7QbjQ4Nx2sW6BBvk8cDN8wwdeDAmNjPlt2k2eWB+PDjGsaf0kzyiuyJ1uswKc94q6iCPVO64TP//81xoiVFEISOeKpTz0VH/nwRxQFtNPZiaGBYcXU2NhciVa3FV0F7epFm7gce9249757454Xv3ifgD5blVzOs335q/UuO0rwZSoao4DfWippOeK2Z3Us+PgiEf7dI7tamKiVRrf8kNC5nsBKpWGauNGh/PMZ3VzvXINHEZOTRGHFYRLDw0o+T3TH14hRBnncmYIbI4RWiQ9T8/fWW2tjCYwOHfIp6okTI6ATJ2wc5Tt21QHPuHt2zTtIXCf+VxwaZoRQby2ipBOUoi7XdDWZEm7Sgjv0laNno2PCWJJ4UkABlaO4NJpMM3S9fWwG2GGm0Y0bL8ZSsxzKZkYgcQB0fnchyQ8XyGwcioTdfXYCdR2IB4NBLFWKTml1Hfm3+CjRUeMA7lmDphEN/AK7zOiAi6ttGidOOfPFd9WbbJIf89fGQCGMMVG9GMiwfRiZKFlK+6xvdf0TF2LwJJ6mez8it6CwnTwDR1J+6dj1K41h3iObzPSZjlmX5IlYSWXVN3sZkS3p9gsxLp3tTtz/gQ/GU2fOxtjBQ7G12Yqv/qo3xrEjM+pySIVSFt9Uby9n2FBN/vm4mP7mNfAU7chn5+lgQwD80qxU3ZkKvYJ+TafMr9KpRkNu/JsZH+StyUv/VnKlb8pacxAxz66go1M1bsVIUE75TqrEIrfQ3m2Ge32BmzcnwHl0xeLickxPT5V6YrzlVWigR/OSmWU7ZAPTsPoEV30Ln4tRKl0j/8Cyq1M6x7vvoFvihh7qwxMctyGj7m+kxydoauqQNo/AlyZ9km4Jk3rmLAuGP/ldTpZlGSXd+QsX4rbTt4k2NT8sp8CQPEAH4ZlGQNIpaV3qI10ObdpBiAJCQyhrY0IgjWbjWuSlrBSIP4Vn1uPgm/QYiqtXZuPEyaM21sC4KjHcnEp10E/R0Xmdn3K4jG/KbdKtfBSdeGcUkAHqT/k1LOFddBI8FgzUfjGe0tmb8+AIoUD8Pc8KFxhFdAzXtEIPtlroXdoK5dE78A4+Ih1s5lClhGrfwBRv3WapW1OOsk6f6fs+g8mFgQhNrFIsk1/89/9RSwxM9Xc7nMo94thCM9Oxu7MZq0vLMdAajLGJiRg9OFUMJlV533joM12RzwR8M9CNg1kI4n5kZw7DHFLe2/+pMQ0Hw8odaC104OYODR6b5BZiLyO5065rkIJjgfDUM1vJgUH5nMWkrbQasXr3wOrKumJcpMBzuCWGC0EB3XF5K6+MGeEacfbsuf5xCZROML7JA+WYEzUk/KXW+uciIcyXL12NW289WQwgmhAHpDKrNm5bUCEAVsp2bDcAbTPud8Cup+qvxmQ6KXggx2AU5dq889szNFIBBXsamo+usOIzbaCdUznGCFPJ8E7llW3fnlGq8cg8pMly+epn8850NeSFxdUYHx9WW4ACuxw22iLuExyzUbW4sKowCXTB4Id/G9um6bSNr+P7WFbc9jVjOTleFJjxSzyMozvjrAuE6M9ciW4DZSt/Sk5bU+hL86txdMbbhvmCD4bPfXMZ0J5t4WkUAR8ZGxsbFTxWd/C3YqsydMABmbg3xAWbPDDhXUUyRr0EZVzbCmg4PFJmbfB/2XEgS3DQDNZAtpfh/rmAa2tb2lZMgE/Ot3vPH743FhbXoheDMXPoaHzWq++MKcIOBFP1u7HXJW7QoEItQFcr3gHVkVm/7GiJCUScHxmezLYyEzxebzRgiVdb1CfGtNxCLKIMw4FvE3zCCOJP29973r7dGqiCcxB5T2fLEnvOpu6W43ww3DGyOeCUGDzE/crlF2hNfmbRgEEN1le3FFhwYX4uiM9F7DJOFGAAQ9wpQmVQV5ZN2I7f6ezIF+TIkcPiGx9ZFj948KDkkmXpnd36GCF8s8bGR4UrgStZlsqlxD7f99rRG+jF3OyCYrjhb8NWbwfR9XKNcN7rKvgm+Emu8cvcJJ7ZqFbe93Z35BqAPxJxq1hWJjQBflvQEQMZnqBnOFuNOuLIjLG5S0yxqhvEOOK4KBypp6entXzEbDg8mZiYkM7Vyme7pWCSCCn+mMAg8CXBLfElA15vz/oGHzwH7cSfal30xdeHUAvM0jMI3NnaUzDXxYWVmFHsIYLAbsgeYJmUOhOUkpha6N9Tp3woMjjNzc4rZANxhzhY2AbrYswQZLKzq3oTv+mOO26Vrxbv5hcIW3Ew5uevx/TM0ehGNz715Lk4doT4bQMxPXMwnn7yQpw8dTSItYdenZudjZOnTomGyB104s7AnRhz1jWV2u7i4qJWEAj9ggySlgTI1DqrAgfGNDNOEE2OruEoHTvjt7Uc6tAFHFu1qeVFllZZ6ZidJcglcbLmFbYiAyBfvnQ5hkdG4siRafncAgt9RQBOdB3hHDgDEbklsC08UWiYkUHpIgx2bBGMZ2L0SfuafUU57nuoFeZn8Nc+g4nGm8oOQr75q74y/t6bv0LF73Z78U//2XfJMPrOb/sncds9d8TIYMTTZy/GH/z+A/HYYx+Pv/sVf6eP6v7lgf7rv2Y/6NHt/8CZVfgRQZ+LF69o3ZtlipOnTqjzoPEQqXd0bFzCy9IcDScNLBQR8ZY4oZ6gZmuKPOs4JsPDGKhY2O2YGB+N2dm1mJ4Zi5VlDvwdjPm5lTh67JACKSLk+E6x7n7yliOKK3JwajwuX1rQssvc/FwMtAdjYmJKCnhlZUsxUE6ePKnGjoBfu3ZduDDFyXLa+sa6AldSW/4cuHJRhgZO6nRely5fVVBOGv/UoUkt342MjMXqynKMjIzHUTlDEyV4NHa292JzcNvLOCPDcjokiBuRmKnT+PiQlM74gQlFamY2YGlxOU7dciJQTgSYnFOwwmkpF+o8MDgS3e6WDirFEZ0DP+euL8Rtd5yMlaU14UqD5HBjjFd+EySOyLi3nj4h2jEzQ3Rzgl86qvJIdDoYn0SwNa9plPhKoMxR6unbBU4YaNhDu9u7sdMaiKGBbuzsELiOGFFjcejwiBw1UQbwndH8wgJOmpy4TeDBKS3LsSZPR0g04pmjB2JxfiMOHZqMjQ2OvyEScEeM4EBbOpHtnS1F1QWXwWEOrBxXTB0s1PW17ThybNKbAohvs7oRg0Nt8QHeDQwNygH4yMzBWFpYVvTnzY1OmZ2k0+/I/wLly7IdQVjHxibk7D92y4gU50B7LAYG9xSYEv6gyIcHDmgkudftxcraegy1MbhCy9EYMpBqe4tlPfMaXwUdfKxI3PhaYeiMxsLsRpy8ZTjWN7ZjeGgkzpw9H93dTiwuLceZ8+djY6sTL3vZi+PlL3lJjA2PRbvdibnZlTh5ajCWCbI5NKRzFo+fmNa2bJZuOccPuhyenih+bW0HA1UMMPuQ4bTaHSZ+E0anJR+HZ+QKpY7BhHMyIZRo+8gCO94IpMegCJ5y2ChGGbIjgwnJ63mmbHuLNjqiNjc1elB5MOxw0EU2iWWEnGysb8TW8JbO2cNAg//ARVccPXZEsohewDCiwyIgJkYDbRi5xcAYHR2PudmLcWBiXD4uCji5TqDFiOnDB0WDocHhWF9fUNtFV7HrV8F0B9jMQoRvon0PKWgmgzPqPjTMuZ72H6ENsulibZ2AvJTrcxsxThTHscyq4OM0NMzgLoLZQeI8YbBpA0cZUOLoy7vJSRvF+IYSb41Ahfgl7m3vBBsX0IvwwwcUYygR7NcO7KdOnYq5uTnFuSKWEbGsUF7nL5yP22+/Q50rzx7wTcXQwFDstfHz9Plx8AYaYjgw4BNvet2YnBqP888slHhiLQ100PO0SfjAxVb3HHRBa6JY58wZwU4JJkz7Rk/CL/yODk5NKB+xp3Bon59fUtBMZlMx5vEHYucg53lOTx8KBrzIx9HpGe1MxrBALjnDEUOPuh89eiTOP3NJhv2RIzOlrQ7omcEA8kRE99m5WdEVdwucsK9fnxOtOMJqp7MTq6vbOjeUuH3oLXQfUdcxrJBDjBZ0rvuiRQXtJbApwVoZJBCnj36BNgOB4R3lYAANDo3qN/LCH/UTHRWTcEsHBUPLa1fndZoFcjc1fSC6u0RDZwCIYzgbBPKCB8+/oZSl7/NhypdpOLkTsTJ5z/seiD941x/GT/+v/0sMsGQE0khvjyDp7fiZn/nf4xUvf3F82Zd+icDw6YWsWNblv+3u2QFgvP+DfxLvefcfxY//2+83SHaMaYbm9jKK9S4HGj/B1rjoePntaWIzmZ0DzA5BPzr2paU1zepoKUJLbATE24mpQ+XcuIi4fGExpmfGY5wAhVXEwoLDzB84yAnm8Kcd585ejjvvOlWm20O7b+jkMWDyYoTmk9JhXRVPPfWMA+RpKrbd8GHy7AoO0ihKnSzOxEkv4vHHnoqXvuxulWmFRATztpQoSgNFzEwCB4bynU49R2HgAbppTCZe3L1ccEjfkZ1rV2fj2PGjMjCg09z8ahw5MqUQBlo66bF7Yi0OTztyMoUx8ibCtRzk8Xvq7ClaLqH4oRGNjx18wk24sGsKQ7hugHR8zaU745wDCWOMwgE350Kpbqqx5zP+PRihCsQJDaKlkbqOxCjldvc62pGEIgV36szOLTqjbDcYGMRlMiGtrKEfafnjN2Xbj07ElnHKcho8ycGPl3gIB2EMgUsAQM+KcnYh/kk4pTosNzPy8HBEAQvJgxGZx+qQi6CmBO+zXx14oMyRFY7VcIpWdHY4ud5lQgVmtjC+a0fPVmxu9GJ8wpG2L166Eh/44EflWMtp66fvuDXuuv32uOsOznwTIWWoYDyoU9a7evYx64eCly+U3MqgmwNIYhCYJt5ejqI2HTGOHBk6ZYH3zDgMj9ZnICI/yEZeOZtsnhT6l6ND6BTQnxhHlJPGNoZW5gMOeZFbjCHjhhwTjLRut6RjtgCjnDTWy4lFffc3QS30Mu1JT+dJx83yrOnU0/bznFUkF5tCclAIDeEXR9YQ5T7pr6COY/UzPGdzCQ7NqdNIm7hARy7xbMhHFFFngjYePlzLJDNAdQBJlnHbsbdLEMM8ixNauhMlP8vwdMD4Sx44UPt3ujT+T5/R+g08QKfpkHEtF6OvPNNRy45nkQzTtV4vPqNJAwxNDC2VUdYpr19fsK9niUVHOQ5KmfJfxcLCUswQlkXrxdE3elx2JeNqZmZGMpFlzc9jGB21/FQ2WOuykZ+BWF9f1UyPalq1YnFpMQzHbSYpkDojn/PuQJfusygXg9YrGqlnvJubwMF5MdDmoN/mdfXKXJw85eDJ1Ons2fM69DqXvTkuhtm+WoYdMBa+W3YI5ExgVEdNFw0qoqyzegKPuZAt60LTKOlbPn+Gb38Bgwm0qviN336btpR///d8d/RkMCVmXvf/mZ/9pSBE/T/+H/5hafj5/a/vHUVj5vbiQx/9eLzj998VP/FvisFka0CNxsqxXoNFWJpC4e92KjWTEeT9TPc6rdfiEbD9l5Vx/13/kWWAerlJ34k1ozVoYOxvMP38RWXytb8+rN9aUCrJEET7ofDCRl9CwE8kwyeQLtOm8FK39BvIPL7XdNn/fON7vjbfIYNsMuDuC1z3PxsPvtrQtW+TIBV8+oQrRi44onRyHT9hux7N8pWwKGF1fqo1NHY9m0axrT5VoLAgyy0yQh1KjJRn51GzfONY143nlJ2a7lKGMmU8t9snk35kOucTrnpffLz6AQuTVqKKq1yMrNoooC7ASfonfs5b0ywdFIyv3zNbQd7Eh6M49tRxPPjwYzG3tBBjo+Nx3+teHdOHDsUhlKQLLrhwkwOFn7XFGfhe+s1EUr4cRlp2aPXfq/dOXlhGanwLXYn1VXyZapo3+ZEyklBTTmnfpHPa+mvzV1223pYeDBxcB74n/Eyb8MC33mG5v5x6YGdYpglpsn6py4wNMBO+02Y6f89viftzP+/PR3rSZnobd5mGOxc3jJ18zvTlc8NgyLqTq/Cn397cbgWw8R8wsq6IDrBTP7scfKyYBYzio6VEBUIzbZNGDf2n1/znXVz765D1BlwTd+NRv6vTmTZ8T56lPNXPSZ+CZKNOGefO7bFfP9H4uQ3rGo7LTYPG+XlH28ZfKnFIfD3D7v6FdFnH55J965sm3FomgZ0wGvD7uq187t8yjSDURfe/Pz8/skb90hC25pWjxRe/5KXxgfs/HB978MFodd1t4feFL8JHPvTH8YH33R/3ve5eVeRGGE14fx1/I9SM8NwVmT68YyqVyyRDeNqih9/VdDS1UqhNAfLTuKXcMcy0KbYEOmsoTdKwvGChA6ZjoZDEgo7gEXeJacvsTFjDJ4ZMXlZOjGyzXHC6cH5/7BZGUm4M2RA4441YJyhkz4jN6UwjjCXqg3ZyHA9+Jx0c54Oya1q5XNI0G2HihwLNBlS/SzmCBnx2vBFgenqX6XBfvGPWgIbL5fpqSU0o+LtcRDKFkAUfdyrG1UoGXJ/98uG/nR3CJpDGcFl+8TZ2dwYwlpkfZq/yYjmhbywUp0pG3VlWjpqQBMuLO0jRuK+YknZApWyWgshR8C2H3mrlMKtQIZOG6DzsRCsGm2hD6AXgkSHr5NlEP1uBM1vnyypjZWWj6E3n29vzspQdsAW4wC3ZoqflS+gNHvh4PfTgJ+PXfuNt8Tu/+85YXluLe1/7BfH6190Xd95xqm8sMSPLZZYUehO7RTu/DJuZkKSHExMnxjikDDFzyG/Yzp3ZIq46bAYzPzuSZ8sZfhvs5GnQxCALGQ0DePizGD/S3nwlj4GFvuy3sTJD6ECDAHcnzLEakpUiJ/jNwMMaTjMWmMvjzL+mTDIL4voaaWaYiG3GlbRcU9yfgY8BzAAAIABJREFUJs4ZF453zED5nLSUA/Km/5RFroodlo/7VxIoX4Czf1s3uGx8wlhKzIEHKUSXvg4p8bcSjGSdGfClwg9mlxyfB52WF9+pM2Vy52IGieC/pl1LS13Qn3+kIb/bYUJh16+DYVJvYDFDm/iDCrNh+CQaJnJUxVNPnqnbt+JrmdYJlfa9uroieJQNT31WGyncri9dvKLkxt1H5rCk16T/xQuX+zKM/j939ryWFK0/OMNwUXUGBn/gaN0D7c2MlIPEjVkd9FW2IVwGLly8pHLJwt/1a/PGA5ls2X9PeeSd7b7g/PmLgmE5jHjqqadjZaWmAyscXFk/6kWcrPoiNl0+wz/zcmGefOBehKnc6nzP3y9rv1JeErhZfFb+lZ/92XHLLafia7/xm+J7v+st8cmHH44n/uzheOsPfF9867d+axw7eSRe/NmfJUFMxjTh/HX8XdeD5YqBvmOpBcuBHVFsTteLixcv75uyp0HoWxFcaEBjq9VKK9bWaZwpCHwhmB2HQdJYrdSxC5jOpVHAj26vLQc7GjGzBeTZ2iSt0yNXOG+zNs+V4FkutLCSrorbbr+1lKNUcmKka018Zmfn4vA0O+esOHDC40BVto8av3ZcunwpWAsHN3yEUAT4SFi4bYxgDFFuNhSm4/29NpRYk88L2DgdWh7dyV25dkXOoKY3MVoG5LeQeJCX5UAZTWrk5tnK8nKpP06rxs/1MW6mjekmWO0BdaJJM95xZTk8yhiCJoWR8jnqpRw4MjAHdLJUkdtqn3nmsvAwz9rqaFCGeoYbvZ7W8REO/D14r8CopdMUHjoI07gk/fAtkDkkGWtHBydcoioXmQPF+fllyY0kpcURDMaVuvCHIUkH5rqaLiwblKpLriR7ZQcS9LDPDr+A6vPzbB+iUvxudQX5q2fhNjZ3ZEStLa/Fe9/3QLzt934nVtY245bbTsfXfe1XxctfclfjfEFi29Rxaxz/DV4wqGBZKeMBkWb/CBc87HvBjIzYV8IqZN1Y0jFebHyk3rRLHE9NE/OcMFmG7TR9GpGnDI5IDz1dTzvyW1ZcFr6LfWuaVHJmJ36Qvx+YOCAfD2EJrDaxnMryg9DwbtzOrgMYysCPdln2h84esB07dqyIBHBDbZD2mDzEPeDgpM/BSz0xKUftur0jN2zq4aIzxrAZHeGcL3dc4IzPlndpumyMDQw+0w06YMz4zu801ZEX41ppgwGn1jOLkTqOZWTLrEqPkWH78qV+o+yDU17CE83b7WBnMPTlG9fhw9P9+upFFXJ+pj0hE8Cy7Dg9adAXLNW6HVpYRsfGCt7Gn0NmLf8wHr/BDelX72Z2HtLkBT4rMo5cDuhRN5bpZCS2cNgfl/Fm1N1e8H9yXYhTVcXUoWm5VvBO6ao8jNZwgXnXXXfF8jIGNjBa8m/Lfifp4qW00jdEr3F+nWfaWF4/MDGhupEHvp++lb6hX6PSr4EHfdBAsHGADR/moWmAzxKXJYODehfi4MFD/T5qfd3BVMXnYvyYf/DedXQwTwqu/xj4ui4JOfF6/u+uab+aENDC37T++Yyw/fBbfyC+9hu+MZ66uBjf8m1viW/6p98dnzh7Pf7+13xz/OhbfyQGSqcIQbKhPP9V+ssrkUbEhaLkd73106MTBaWTwrKw4rjIKczUnwvFknTwO4TCJqho1DCkSO8y2NGQhg0dLg6Z23IipPMFcmdnu+yIA4/CQhlX+GSwPTpikRO0h638UBaUV1vv5GnFlStX9b6gq9EJDSIv1spzNIJAM42+vonQ2/gBJjtxCCBn/L1ksCSDyFBIk8oyGzBOhXnlO+/eq/Mw8hP9QK4VMTZyQP4v/bJ77O7wrjrK4GLWAEdBlrt4Z0UOLbM0aEfHYzmvccvGycyVZysyS8IGAr9ZrlHwOOShoVCsFG0Y8p3ZL6W3pgsOSpZBISvLJ4X7EF1q5PI5HoafqnKrFaPscCxlCA8FMIXndD4u64AOV2bTgBPudTgnz8ip/KCDwjhA7iy3CpjZlzeO79gr8aJQTOYtvikqs/CajgJ5V2fJnrXBwTIrCKXMIwcFBH9wQfbhA4raCnGg1YqnzpyL93zgw3FtcTle8erXxeff++r4e3/3TTE65Ejxrd5giVVmHg1ztp6kvhAC/6TeTnBeoWmFIWzH6+QyJPcOq8SFILOdMovhGbmc0WQ2CXria4gcI+N59apd0cUy5w6nT5PGwCJhIcsZpoJ0oj/GLzwtAX/pjNi5mt8ZMLE5hAta8be9jaFZ40EHSJsBT0KXsFSSbTnLINJ3DYPZl+VShl7Ld3FuflYPbo+ehe63sXAQURx5Ew54rqx6cOM2lLNq4GY5xL8JPyjwkHFJuJMy+yfcyky02mWROZyo2ZggmSr9OIaXC4YOlTY6yM9OsrSnQczSArjw3WmYscDXSL1NxQHRngkif9IPOsntgFlqjt7QDEbdfoYGh3TkDenxm4PGGmiqXAYCLRkT5g0Dm5b8DFfXHC3buLRjYmxKbdLtsiv3FNW/MciwT5N1L0bXwcmMXed3iqOnPgE/wFYsLfsAX+Dor7R5183y8fhjT8ThQ9P6zvvFBe+Ey/TIJqsN6HXhEwMxN1dmizTYb8fk1JgMPJawabtsKGK2yHUzvbu9wp+iDw4cGFNUccp0G28VIxJdY/m4++47ymwXXMNQ4zBy+gh0A4zvafOD8CrLpBhM8MEwbNAiYy4Dq9f1liC8AP/t82Ey4naEtXmJkqK3decglUXDaFWxsrKj4IAHJ0d98Oq+elg5p7J/Aer1l1YkNOH6wIc/Gu973/3xIz/0r/qwMWSaTtUoTAQ0jQAntPDwO+mbAtUH1PiBstdoiLg9JcYSh+iyE86mFrtErHSzEcCj9fXt4vxrYOsbOAPjFJ4dTTqh14577Lw4duyI8AU3RgAYLuCfuLLbgZ11ebHrhB0gXDYSvDyQju68hwaM7F1zyrehmLRMWEmnLOvZ7pmWjo2R4nNdmZfvNDlmwzwjwJtiBBZeCkYDVtZXeVFYirekVI3/ioC791MgtaZxqY5Mxis42ljLTsJAPJKvUajlolGI25saTl3XJn770zZh8LueLbDRsj9186lJr8KoxucmXF7nc33Xsp/0vKwB8Rg5tF+ZFR44mMw4ia/Gn/7pJ+LcuQsxc2Q6Xvf6e+PE8WmDloKkvuRjVqQodylRv6dT5Fwp0U8+V+apDTxwTHoljq6OaZcKmDzN7/k77w0SlJ8p46at8TKelOcym3J8M4T9eIB/pn+utH5Pl2mj4maZoVx3VDZ4mpA0ldJo98hEwVvV9GxRygdthXLqegIr6cGdK2lr/jiII0aHQ6pkmqwXsvXsV77nXtqkEvq98aSMUqR0F89Zft5Nw2cvB7zotJuXadkcvGoWV/UkXcK1vNo/0zpQ8mhq9wHW9eSVcU++0rHbdxKY/IFPDb8PpPxglsq8KAMawZMJaP43eEG5nimrofDuZjpQXsKAVim3xncfnW/QzU05qHUEdXR9ckBVY8AveInvbDuiXe6Ci4xm3YGRsmg5MixozjdwNO9dGjDTZ8rfs8ykfz4/n3eGc6W8Zqdm5i0tLcTstavRViDFto5c8DKDs7DT5xrTvu3B2N3pxC2nT8fhmRl37Emn57M2f9lllRkgBKej8OwsBfhCsDCWoJSDeKVBlMrHowLSpVDXjK6Jg5HCTE4KPQImY6MIGg1x6iAGS/Kp0tIgwsRsCFOiDIPZKSVcykh2YmxcIfI5uiSv/i4Hiq8iMghllt2c5SEP7/vGUsnjziIh+qWNpcTPS2HkrWtpWJkr70oDgSK0nk/5iUveM62S9XHIt3WZVlI8F8Uj3mUHWXhANiUpirEo9mZZ4pHBWI5LUU5jXrMlmuW9/VcqaSNZG0upHFAIKM/MZ9yzb6HjY1mIWEc1r11CGuFNOQKfgmZBg3JRnomVv5KH41O80ym/ldnPTGwWNOBkuiwBmoJVJsyuh2XJ0qExqCJNq8hkhIykK5evxCOffFKxhaqhgXjlaz4nvuBVL/f0P/gqVwl2WJy0kx/ZkdAByoaVlYaBlnhwN2aJsZ/N76QbNKf9Do+Q1kpZctIXqps7nWyrhmE6gJd54HIVeVgBSZ0/+QMuzd+qTyFlc0bH8JS6byzyRCiKmZlJ00ZELbpFosMLX1kGHSBXf8mwGKpmL7iyg3FX29RnZg732xjvWU4kHZ0Vo3tm6/Ji1sczW1mmY51Z9m3MsaTFlnwulS9UXKb0UbGsXVcTgVlwQpe4LMssrBCdioyx9N+MIWd9x2CUAgzfZeasZ2LN90K0viGInJnv+OIQgoK4RsCBLizJcTkNI72cAXE5GhiPM5sNX70kzy7GWhbwB70Yt99xWzFOepql8swhMNy3eufclOuJD9bqckwdmip6porlFUINsOzoVkEYEGbvvBvNMoavF2EnfHmArqVT7cw2fbe2NmJsjP6AK2Xb33jjeuR7cHVoFZVbtbWjEr6reRQY+DAy25ttj3AYEyzJqRD6uoG4evWawuxkG1vWaRO5k84hGtRPaVOT+0dWEobZjQt6QawynyjgFwhmOzgTlVWXvwpXfRiXCJkKwU61737/h+Pnf/H/iBbxXAaHYpup1FYVrH1vbO1EZ2srJmBUmyCBu/GW7/wf46u+6svFbqvYvwpV/G/AoUgMDYMt+gRug8F0bGxNZY12euaQnEVJg+BiYKBECAbHxREhGFQoXmjEnU6RvAcmidNkWmd6AgiyjXJyckJbu/mOQ+3o6ICiL+NwnKOM0bGh/nbv+bn1OHLUvkM4Zm6u72irOwYTzukElsQx9PixY7HMESjTh+Opp87G0SPTinVCvVZW1+LggUnF5lB4hJHRIK7TzMy0GiAxpIg+i9KSXwDbg5eWYnziYEweGNVyZCrBgfaAgvNhyLC8w7ZpDholCB3GBDE9vFV9VEuOdvq0UynLPTgvHj0yo0M6WULgwNipQ2MyUokFRBwb8rAkxawXo2RoNXGAIHdWxnQGTK8fOnxQjo/E+cGh9ujxGcWggQ/MoB0+dIi2Kr6yjEm8KIxA8MsOA+WNg+vAIOv36zE0PKgzwLa2t2QM0FkcPYZPBefDtWJpYS3uued0LC2vaQoaB2IMX5ZsiaMF/gSLOzJD9OqdGBoZ1Dl9GOEEiUT0kBeWHCxPvdjt7CgOELghI/h54PdADCedKadwAJ1ALujEcN7El2d7uxtj4/i5bapcHKnHxohr1RVseIEShS/rxNmRX81GTE2NKz7PGMtVHZaCutp6vtfpxdXZecE6cXwm1leJ0TKm2Em33X5cQeoeeuihePgTj8du1Y0XvfgVcdttk4qEfHCSqfwtdc6HD4/Hwvx6HDlyQPGxCLZ38dL1uO22o1KUOC6zxZh2x9bjhTnw99LZocMH5Hi7s70V09OHFRrCbYXZRc776jjEQVmadehgOguc4LuKq4Os5Ag/adGcKWUZD1o6NMCQ/PNYcqODxdEfA2No2L6NKHrKZ1nv4ORkrG9uKm4VbRV7YrA9KN8yYkfBL2Dg97LX6epsMiLz4xRMQFTi9Bw8OB6rq8syKoiUj3zCI5aYWNpBXxBrB8dtfDyQVeL3sCy9vMJyPB18Nw5PT2njBvGQiI+DLxMxfmgLLFHRtpEv8KbNawv3wUn5qEwcGIlLF6/GLbeekIySnjhdJ06eFE2gMzPb6KeZI5MKI4G9hS6BbwQhJXZYq42vUij6vZbeFEphJ0bHBgWXgRL1YUbcuHSkS3d3R2J4aMDtWe1uJU6cPKY4QpRD22QAj07d2d5Rm8QYQwdfvTorPy5wIXwBMk/ZLC3t7laxueHYSZQ7ODisoKbXrl7TshGxjtDv83NLMXlwLDj4e6ZlX054Mj6GfyghQEZjYX5VMgIduPoxjtAXO4vCcfb6vNo9fSJ6cXFpSfxBduElNGfZTJszegOKm0Qf291lOX04Wu212N7aVVwuYkfNHDkc83Nz8lfCrYJwJTi3IwPIBPFfiKWGDyr55+fm45ZbTgsusfO2NjfUb+3t0vfsxebWdhyY6MShw5Nx/fo1+Zghg+x6x5cUnY683377aQXX7HS2YmZ6RqFfGIRvbBLa4YCc65lpQj+Ojg3HEv6jbfvtITccy4WuPnSI9o4xSB/QUUDOlRV8dFsx0BqO7jh6pqUwOlWvK58x2gXy/4JfVePq9Xp6yvtu1atWNjvV5vZutb3Xq64urFWbu1W1ubNXbe9W1er2XrW6t1et7uxVa+u7Ffl61Z7uDbB/7X92u93qD9//weoHf/jHVLfLl65U586drz71xFk9nz3re1V1q3NnL6i+iwtLVbfbqy5duqLnjY2NCvJevzZfAa+z06vm5xar7e2danV1Xe/m51ara1eWqvnZdcFdnN+q1tdXq5WlvWpnp1dtb+1Umxud6srl+WoHBlRVtb62XS0vrVRXr6wIxvVri9Xy0np1+dKsyltdWasWFpaqvd1udeXyFaW5evVadf36XPXrv/4bFRy7fPlydfXq9erMmbNVhQj0qurKlSvV8uJGdfHi5arX61YPP/RYtbXZqR599HHhdu3qXLW1tVP1ulX15JNPK8/S4krV3auqj/3Jwypna3On2uv1qtm5BeURvuumw8rKWtXbq6pOZ6/qdqtqfn5J9VlZWa329nqCe+3a9aq716tWV9eqjfXd6s/+jLK71W5nr1pagi7bVXdvT/mg6fVrK9Xmxk61s71Tra9vC+biwmrV6XSqvb29anlptertVsJlZ2en2t3dqxbmF5UfPkDf9fVNfc82AA/5RrnQhfdXr86pftvb29Vet1edP3+l2tnuFri71U6nW104f0XPW1tbus/OL+q+t9dV3bq9qjr/zLUKmeEC7vIKfHf74XllZUXvez3a1p7w2NzcUR7qizzNzS4pDTB4t7a6VW1vd/owSTM/u1r1KLCkgXZclKFq9XqSVTPf7+E1dab+4Li9xXNPZa6vb0h++MTXvd29amV5o4J3MPWB93+k+tmf/aXqJ37ml6sHP/5ktden21K1vGJ6dHZNr2fOzJse1KfqVk8+fbkSXJXVq5YW16vNzW3VLXGen10WHuDDtbGxWYmuJQ/vkPlu1zqJb0uLS9XeXkfyTp23toCJ9BsPYC0tLQue60l7c531MumlMvb6skBa8QJYjfLNn57wMFCRsbp48Wo/L23lyuVr1V6RyYT1xONnnbjg9vRTZ8QLw08ZvCqwyDXv73//A32aUL9nnjmv9yTiO9fjjz2pNPnu7Jln+jgn7CtXrknWMs2jjzzRzw+Y889cFCynt/zsdiwjfM+y8nvC8TO07lbzpc35HXmqamlppQG3Wz35KepsvLnBq6eehC51GWfPnjMPRfeqOnPmjHRJE+7iYuFp4c+Tnyq6usBE11y8eElldbvool51/tz1Rtm96vr1hdKvgb/TzM0um+8Fxyceu6A8PNZ/lgnrDddBuHV71TPn4I+qU/L1qnNnL+57d+7sM2ob2S6RqU996sk+DYD1zj94dynPbfjxxz/Vxz1p9dhjjzlPkadPPvpYKdO6BxX6xONPWccheXu96j3vvt9tQ3m61dNPna96FX3OXtWVjupW166iO63P+Hbm6VqeqDN6/fw568HExTy1zrZ+cbs3z3rWVQgwLbXXq9bWNqrZ69ZxzmucVaEX4L+bfJhswdXT1hralElCLRdppMPUqB2bevKadyqvSTLA9hTxC24N/iUhwFTx+z/4kfjgAx+Of/0D3ytqAPrihatx+vRJO6K1WnH18qwsd0Y+TCli9TMt66lbm8d1kDoGAlVsKSBgPf0JjVeW1uMQARm17IL/RyfGD7Q12oLSzHQQbVazV8zncZTF5m6MTwxrepcJ3dnZBY20PJXpKWFG7MxqefqzimeeuRh33MG5Sr4845MO2Y4izbEOY6NMh3od/PwzF+KOO09nllhb3ZKjKyNxrrXVde1EYXRKXRhZekbFvlPgyii5nq42/jrA99Ck57yriGvXrsWJEz6bSXDXNjVj4N1PkIZRYicmDoCbJ5+ZSWPmxjtvCDOAcyzHStgviyjETBvfevpUfxaUUUu9nJf+V5bf5BtlebLR5Vy5zKj7pHBgmSqXD7wW7x1klO0lBedZmF/QsQjUxbNHdi6tz+FrKRAno6+sD7MBXka1UzXT04ym7VRb6rzJqBLaIl9EX4b7nJHHMon94IgqfORofagys1E6IFocKzveWuw8hK6G6yCNJMgl5pJYFTCfmwH0CH3x2OOfimfOn4mV5e2YOnw4XvKKF8fLXnyXIrows7NBhPrRkcAv31crtrf2YnSsLIOwA2mdmQbk2DxmFsdBOJE/diuxnINjMXhRZxxViz4SDeAdx4xQH0HRjKyXXtgUwXdg3ehrmDhxB24rOPohl5vgGTNIlgkvDcEfZinhCe+Vs8ClHOTG/Kr1IemY9cijSIxHfveSLUskHNxsJ2/i4RA9mSMv7CwODONhndLEXL+lm8EVHPwVXJm9Tlknfy5HkQb0mYEhInir7TbJzDB08MHS1M/BLIkILR+gsqEjaZR0q/Gp8XMbop70LW0dQTI0ZF1zc116wQ5FzsvM3Y7gAX65fJZ5zCMvr/XLNdv7j31HYQXWRffQXkhEuJhOjEq/GS/owGzOyCjtxzxFXzlosPMQHZ8Arcgi/CNdPyhlKZUwDgQapd5c4AscL7k70doaASd9fA19wWaZqck8wMV5387izsNsZ84IFzHVDH3fl7aKWF1bLUdTOY/+x++vNxBBtHPuqpr9vezLytEjiSeuARlcmZe96Gz3vHQm/jFb7VlEt0GAVZo1Qs/4quLatbk4ceJYeWbzUoFb7IN0sGdG27LjiPPoM7Up2ml405N1nPHrA3wBfuwzmChfzNLuSdSuBYZfUJit0h/704fiA/c/EOfOnlEk5Vd9ziviDW94Q7z8Fa+IYQkZlaJhOM8LUKe/9CKhyTve9d742McejB/5oX8p5SJlti+4F7RyowOBbND7kJEi09eGM2DSKt8XZxCT3mvG+l3oWZShOzLWoSkz83InHVfyzt/lQKr3buBO405H/FVHSV7+UoHr2M4+JP3Y5x9hKHWZLteOpC7fdHgOetwgI+5zUNaWISuOZn34nYTJelPmzTTMDisxTBzTiEteUSa+KF6ySdh1rmfloz4XXIoDcp2uiaPhqAxVg/+gOTvQwLkuz/mTN9yTB4mLADjLTTzIMmmx9r+4uf4J59nu4GFjIL/WSjt5xxc7qArr/n+9OPPU+XjsiadiYXlFO/Je+fJXxme/+C6dQcnyAAcAc5e/ners+qFsvcGhyDzywEaHdso1d8qnfhglGaQ16wsJMQpJ54NmncE8habJdxFuX/ujPg04WXG95eBZykoZU2WfvU038jV/pjwYh6JXmwk+7e+kD/mcN+uSfMXYwYDKcnJwBljepbHd5KN5bEOO344kb9+QhNM0oqB5t4tPInSyPLrDtuFW0890TBj1e7DhW53f+Llen5YE+3Sp099oMNnnr97E4s0w1AdZsTHDjlCMQF/gYVjgKkOqaukMTQ0k/VVLdh5w2IDFQNeuPvEC+kqctQxsGWm2VQ+u9uuwUnrxgeMpI8DLz0v0YeBSG+jOkW3PeIPzjUbX0uKKll0z/Y0bd3jPklkOrpFk8UlO2jly8cBSB8cXQBhRx48d8cCSWE6b23JLUd2pnGQjByVAbeisRrMzTxiouC0D3jIMbUu7VfvOGnCHnq5zypLz13Rwap7dNpu5P5O/+5ymYWXjkv9RWoEymzjMcS++87v/5/iWf/wdcf7ybNz3+jfGG77oi+PPHj8b/+BrvzHe8j99r2KsUDFfef9Mov+Zhw1NqBI+Kvg+cEleGFUoqJhH4AjMzjZ/HdGRfAh3fdHK7M9j/y7y9cnfZzyjOg4/tCDQqJmhyeBstNhWdHcjKgUPRUg9i4NgcoErlGe2CGGjLP1rcfiu42AYp1ZcvnzZP12hxnd3FBgSmwpoBmDvluQgRMuJzWmO0KAs1anlbccbCrQJFm4k+OKUgoQTI2xfTlMeRFdG8eSrA286DY6wBc3SmHAGdKDBbFwc+ugLWYYXxIgxz4C5vbMb1zhHSTwErjuNKI67vEeRcaUcU9eEke9weOSyoYmz9na/7VBOb48jGAjYRhmWF4Lf+TfO+j4kF/8p4d7feuz0mS95qnx4EO2Z/+DhkBbg5lmAzMPuSH6n3KJ3ajiWBzoep4fWzE7a/8L4pR6wchLSqoPTqnm3IuZm5+LKpSvxzne9L97zgQfi+uJKvOH198XX/YM3x8tfdrfOlVtZLjKIEQRPVzbk72KY3kJPzDHrRtedsw8ZjOTFmX/+bh81HpgB8DZ96MERGmy3NymlbPUOGc6ZH45podHU9E0582wkuHg2yO2HjiR3LxmT5D1Pz/Wbb83ZJp7hT58XoqPh+Z1nefzGbZff6Q+TPCUURuKbsDjXDjx4dh7ati/epU9keSN/tcXFjG3GW8cTooyEQxk49xokPnNdnYsGTUXfqORvQx0LUwwe3VA6OOkBv9U749fUc+imTj/UiJNyJIbDGfiZmUbLpGlt5jq4YtFNOu6FMBB+Jh/6Oenhu49HSnSow+x14rIVWSZ+3da2NjPRVFWWAgVDS+BSb6dJ2eGZoJWKvSbSmzbXry0WdlnG8E9MXCjfcOo6oucVXLTQjfLm5gibUA9cCCdBH2LauxboGuFZKsXgFP+7vJC37HdIx19nJ/sCUhGMeEXtxnWMWFxY1+xd6lfK4IxQS5Z1OL53pgFv0Xl7JX5Y3abOnn3GaAhQFdcuz0dXs5Se6bTeQR+ifywTzMSlDHInJpRlyaVzLunq6qZnW4s+TVkrBM+qPy/3viSbCY1GWKjnzrYdH/rQR+Ppcxfi//3NX41f+IWfim/+5q+Jf/QtXx+//B9+Nv6f3/i1eOTxJ+JPPvZgo1N7XvD/jBaCwEMXSKHp8IYlzAgmO/VsnBsba3LhL1AcAAAgAElEQVSYNi291JHtIYUeAdHcXZkuz2BeKQR09CitVFBUcGO9o8MqXdkqdlBq0iEWVkbXdCLClc6SacxNnFLJQRorVo+G/ExjqU+zthhkXfvC3NmRoSjctIPJI5w+TJbg1lfcKahUlqd2GrEy6NBwVLVBkXRhFJu/ky4oBxLne5R3/qYWdJAsw6hGHPi5y+6OTullJKXaCaWORYqiHXt7HU2VKxN7YHqEX7BRZdg46m8XC9gNtK/k/KiS5bjKLw0qfKAnNMgwB473ZMMVTDgAluzujF26DBnNDDkdJ7I7yI+NGFLVgUbNV3UGUuQqzWQ3OBuoipSbxg70asfgwJAOicXAVV1aHGy8WmbQoCPRnMnDL7DEcTlnDApw3YyD9rFpB5U7JjqYCxcuxTvf+8F42+/9YRCc8su/7G/H137NV8TJUye9Y7SAYcTMkhkwwK3dHtJBv9Z7tuwzdpOztGJpEf4YL78ryy0KOsgbdusSab7ghywQuVz0LuKuoJZuB9AAGVNts0cgijUHK5clb89GIB9pLLqc2rBvvrcxTgr4IxqrcxUKboP9ckLLXshavmLwYNlAnhy1P78ZVwY2NshNh4wk7vqqJmpWTZwwzBwrLmnnUbzpguDAC82k0pKINaaG5+9e+nMahdRQVdo6Vw5ncS7j2JJsUR/VSUvAuY3c9e/3aaIJtGeKEMM+B02Ja9aHfHTqHGVTWK9dfciO65ix0XqMFEtHS/mOUO9y9Vyljuh3a3KC5xsXddjr0kF7Vyb8xvDUeXrQlARlhlP0QW4qNusUfVzgsKypQJuGKrjaOVjIrUjxSXqjp/9zgCxce+wu9EDCFffuaGhhPV36Dz1brtFD4mMKTISinzd1JcZTXV/LZ/LOsM0L42I67eywCYO+nxQuFwdt4SVjOHSuHx9zyX63Q2gbZINOhlzIhAMa5/Nur1NOZ6D63hRluSM9BELmbOy5HVksTWbzjLMdfXJE2UlrSjao+vz+3LckB6P6DU11QkmaGD/3i78cO7s78T1v+eclygUV8HooU+4//CP/Ju6+86745m/6hn4NknH9Fzf9uFGqTKSbkt30IvN9+vQ1Ez59upvAlxepwLj//nveFw8++FD86+/7bn3lHTMEHGbLhdJhNwUnidOguDQ9yvpso3isf3asSV4Y5Sn2Udl6aRkqW1LZXs7FKKkbA0N00J5mRlEQBbnVZpnDwNkpY18D50KBQn8aZdbDX+r/+Z7fUP485ztSYdxpl0bjPZ2IDsQsLGCUxI6+rCSRvvPgyizJafAj4k1LJ1s7GjgNxDjkVLLz4BMwrx08hltpdoLTv61MXOfVVaKKl6jIovf+g2gxzDDWpqYcRwrThF0mJ08cVzEuO2U8sXXnLrqoq8/vpcIcBbO909jmirKHJvZbAwpBKwfaTEM7D+XivzMxPtIXBUaY7DJi111eLDHoAFI0nA4P7siYSdrCozQaMw/GNTv2uKgPig8llH4n4LCxjs8S8uS6oPTsy0KuxLE23BK2gfpkXbYNX5u9Hg888MextroSp++4J176knvi+PHpGB7EJ4Xtzoy28yxDDFZ23gGfZUJOvsc3pA5zYaN9b1/UaiLWj014RIpsM2PrA3BVQ6HU9LWjzoxc2a1GVcxTGypeVnH5ZMz4Ou50kSHowWV5sg5Pfu9vC0olWb0hj9o+MlNgGGC/XZmV5KFzyrtp7qR1PrdFDIqe+FevCJKedGn8yQIsJT37zXRoloPxkfSxnm/mfDb8m9/r34kLb5jJsk8NT/2+w4Qs8dDQjZm7NmTErHytutV09+t8zkSuf/Iq+yrD2f8tc9x8r9t2/c3I1bjnl6yneQtvKLt2N0A+oKnfMROC4ZH9QUK58Y6Y1PSo+eF0hqn2AvMZFWvAlEZULSs3w/W31OfG98ZUfs40PGnQpIFc1jfzmC41fZ+Fxug3VcazbK5XyngTzv68yBoLCVCOf+rDbiRMyQ6u6HB2WXPdKKdZyvN1t6btl2aiG6mqnoFrtWLy4ETszG7FYK+NES5S6wdC0+3FsJwFbTGzjT478j7oT/sjmUMi4/DcyUmb6f+8tM8N5f/PF+iB/9b6ylrZJutjQJqNA+v6yBEimfoij+IaJarlfW77tIUfTlPqgxGEgMjBUBa766dox2XJlEkW6+aiPAUfJ19b9x4t0lHBJOfPTrbZUBJP7s33+Zs7Dsc52sn0GFBSVsKvLYdqf3NZGEsp1GncYByhaAqqMTVVItxqhO9GAK0yH/A4bTv9U+D3wYbRY9kiyngalcAgZtREWc4BF0ddnprKDtqBL0/2Hck1TJeSz7pJfUgH0OjRV+l3w5MjnbfbvRgfH+mHdgDn4REfqSGF0asUCbyl+mIM0Ra6MUm02sIPcLVBkx2IFfk4MZggUul8h4Y9uqcM+JF8zGewSmNJCNMtEztOR4dY8FBINpagSRrPTm2F77Zq2ruchCU0aOytdvzJQx+PRz/+yRgYHY3P+9x749Wf96KocCBF2UbId4nOg98Zl2xQQUtwWob27f7J864eKUPGksv2jM34BO/pJayMR+SQi4z6HUrWTrqJJcYF8WHcwVp+oxhv1CfT1TOCpPHl+oKPcJIdQh1Mp8zZvGe7dTmOg1MbnwVqwlMbMUst/O5Mmp1zs+7k5tvgYOJFbZuXZVAyZSLqY1Memr8Nz3SmypnFsfRqQ+DGPFm3LJnnlD3K7pMv5c/T3Zm8lAMdLf9pqPcTlHpa1q1/aiNWPalkIP0um/wCRuLjzpZn3ppm4Jnps155l1w1kLD8Qxfn1SfJmdt/JgWe+Y5M0h560dJpAk5Bfhy4jx51EGDeOk8DbgFmPtTvEVv0fl6qihL5DT8TlvheBh+ZnrK56jT+sq9OJXGm5TG/S8Jw8u9hrLkNOV3qirbCBbSDiPsMwvHty0N/4a8H5pRf05ff1KmegEmZr8steFpj2F64qS6WUWI3uRWZbs16lKo9b7eaUzcVacUhInBmzZ33xP3vfyAuXbksBZiNFnX79Jkz8ZGP/HHcddfdrpi4fhPAZ3lRlKOIxue/cMYGc24Ga+b5/V8GcYGHkmHXgxuOBdRrxTXOuXasmmiN3WvHTQy1zCJhgvllfbwYH2753pEALSgXo4NAiaY35VrYTSuPSCyExsmKo63lOC0laRTk4xRSWGvYhgt+TTol/bS8JdzqBo4/jBWZ37GylI2afMzqGG9guzGzw4eONUfM/aWORgNhSS7zcecgTZdjOMxc8d7LYLxj9wS+UEVh4IvDuV2FtqJPCx+l9JcyLe3bZYVYxZ6UADQGdvoFmRZoKtM08UKhwDOdmZSzR9opZF6JjprRYxkFvIwnOBLrJC/e4o/kZZR6SppjMvpNofi/1Dyr/WHAx5dH+C7HOLCrrP5OKg793CjK0LOIXnqqp9IN7WZlxMzmo48+Gb/yf/5qPPyJR+LUyVviS9/0xvjc17woei2WxYbUgUBNjiKhA9KFEz3qksmmPg168qvxF5OGUaZ9ZroeiLSYfodOWC59q0PGU6tNQMwkqcsBdn00EF8NXW1ERg8ZrOJoC/DOf0JPwGwI8K20rdLxCn/50xXqaGbAtE362o+IfFCg4FRIkGkot4wwhQtaFX9IGxG5pOf2l7wmfhF1EQxN8PHbacCXdPZdcz1IlwesZrledq3ll9lidrCKI0V+Mi13YObyCL9d/7oDJQ1/xFzyd6epfZ5cFvlM46QVb+h89aVvtEEyDaIK7Uz/Qhf0SAdfP+hjn0LIS8wzLsonPTuDraP0uu8v5ifjQ52sc/326lUOuE1e2QBNvQRc3Eo3+gfrkgffQfPJdegFPprWNXy3rBI/SKkLnfie9NWHssxo3NFLOz54lqNuOPJKMyn211M7IlbV5mbgL1nYITA4cDcv4tWlPgUGckA/1Czb7g61LHCkTP29HfhfcQ6n2w/6bSvmZjk+xXkY7Nj30zwnHbPWcmfoDy6qOH/+fEGNdKye4OtlvUd5/K7LhQfFhYM2IRp0G3IMzS1LrOSQjz/LXpMCz+/vG2aYXHgiZgHhXRX3vf7euPPue+LNb/66eNMbvyhe+aqXxECrigcf+mTcf/9H4wvue23c+wWv1uiy2dE9d3WKZilKrpTcT544qPTih5AM9d3MlABiyQpOMrR80zupVX0vbXYf0Zvl9AsvP1K4AcNvCfnmZnR2d7XVk62kppH9Y9SIcDjtskQwLGe7PM8NYUHJofCYZWLbPFvrCQoG7mwppV4ORrgeI6MHg1Ok2RqNM/P0zEEto2A8pfsLI1E6XWCwrXvyoLfLss69vLSm6N9sJQZfAvIRQI0gZ/heHTw4FVeuXNMxJwSx4wwpjIvxsVEtJ+11WaMeDQ6IJbgd0WVpiNevz8aJEydjcKAtuCsrqwrUB42gJfWj0bIzBV8T0m1sbcWRmWnVka3EGFX4hOXOHpbjzAefQA6t3bjwFyIoIkEjd2NyEkXZs3N6BT4sYY1oKXRslACWG3Hi5IgCDBK8Lk/hPnpsJNZWN2NwaFCBN++6+zYF/GPm69KF2bjlNFtfq9hc34r2AAHndmLyAIED1xRld2lxO6YODcdOp6NzpdY3dmJ7pxMT4wTJ3IuN9Z3Y2d2OQ4cO6qBV+LyyuhV33nkyNtY3pbC3tuH9UFS9PQU8ZOYE4wZ62adroJx15uUklLy31BOAsiMeE3DPW+XxKbCfFDI3NETgvz3NbOHcTJBV6MlvDkJFFgiE2Ol0Y3iorWCBBN1TGg5P3e0p+B7Ltyzt4lf04Q//cSwsLseV63PxWffcFadOnYoTxw7H6PhIbG9uy1GU5TWWRFHou7uOUH38+CEtSeLHsTi/HceOjyt0AIYq28/xIVMQ1rYPEt3e2YuhkWEZocxegiuRfwmPgFwTTFM7lGJAeNOG6QQnJ0eDAJrIOjQkj5aHWOJsEdm7o+U/aMt3fPyYubWx2JOx7aODvEFioD0U7KiCp9CePOtrWwpcqGXoYeTW5xsScA+4hLUYHCKo5qgNQ7Z0r6z76KBWu3SKBJgc0Swk7ZbgrZSLbwbl4LujIKjDDpAJT1iGPHCAgIBrMTRIuV35i+AHhO6gvTBwo13Q1shDJ8g32hS0x5jLMAK0W2Rhr2sDaHZ2VktHyCk6CBjkpc6k5R13npeXFuLEyaPaUceWfsJjHNdW8UpLoetrpGvFocNTaqvMHi8RGPfQIekHfOqARR043oklYwyU5aWNmDl6ULIDP/GFO3KUgJwY3uZJuzUcHIfJbCxtzwNHvtFZI09DCh8BXzBC4S004YIO8Ik6MntNHvuGustjAMbZjWurG5r5JJAradhIwgCPb5QhvTl7PU7dckJ0xghATyMro63h2Nnelp5k2Wg6DvZ1Gu/hLzPuya/NDdwxGHSzYsHGkFXRfaezIx8vG4AMjAimORS7vV5so5Pa7EZrx+jYqOrQG8UYWVP90FEHDkxKp5OOMtONAj1P/wQNuNjkQygQ2gkXhpT6H/mE2oCBVwwI0VtHjs4Emy7wt9SpEi1vvEDWaMvoPfyYzp45H3fdfUfRXwQz9RFbyAGz/oTZgR/ggR7gzDx0NysYi4vLkidwR88RZmRnm8CX8NbLkjlAz/6Y+wt17TOYEpG810i1Yrgd8e9+6t/Gg594JN7x7j+Kt73rIzE8Nhi3nL4tfvznfyJe95rPi6FBW9s5qvyL1wsC1ERAAXBxr3HxiEswzVt1ck7q0Si/95WpThxIzaltLFUUh0eeNfy6tvkry9c9vHyG/xEThJSDUubUaV9WWt2x0X4MDBzj0pDI5S0aKhcxhoCL8BGbg1D2XERCRXj4locOorALSeSIiXGDYcNLBJ7OPmd1qQ9LMgg0BgIjpjzklei7XMT+gAaMEMbH8eep4uDQRCwvdxXunueIYTUocMhQ/ONj41JMKBcuoojTQJmZoWEg2DQWlM7B4weVRiPDcjgvDRul5pEJJ3bb/wiFxkiJOucyJ8/U5dDUIY1EUWzJazX6jqMWk4dIz/BjZcUjaJQU73VJrHpaUqYDHB2xv5hOao+IqcP2rWJUjJJEUcjw4bDIw5y0HXFwalRKO5VxZ2czjsycjPYAsZYGZRgfO3FKUgbOKF4cqZlFmOA8P5xa95Yc26WiyeF3s1M6wlF1bJ4BMc52tGXtHuVMGcOiRa+HHHiWKHmy23ETZlmKsuVwKl8XDBJwaEVXo/RWP4aNd5iZPHTWGHHQi23my4sr8d77H4ir1+fjdfd+QbzpTV8cY+ND6tgzBg7yMTGxF0TbNo3dpqZniKNVnGiDk+K9VDk23o6JAweDHXCTB4atJ5SxJ+McVmVsHOQZBevzmX1o7sCg45Rh8JCWGTPu0HioqmJtfSOGhsdL7CmaRc+Dlt6gOh4GFZL1Ccch8lErtH8rEtomnfYwBi2aoR+ZmvZCtGVozNIf9GTAQnygwRgZrcR/88RKQUvHmmnjG7MOSXfaKHqoK7xTT9GJ5xJjytdel51crZgYn9R9t7Ousu2TZT1EBwTPwJ0LmeMZw4eLztJLhRzmPSY6MPjgOnbMsXFou1zWTda1fd2jI3pC8bqgNbwHp0kd06RswunwtNsIb9IvkcjapHWeUDR+53DUZzrG4yc5AsQXxgAx5KAxeZhtwGg8PD3W98FkgNHb9Gws8kGdmH2BD/xx0dlD16QDOFh30oYwWgc1uIInPqKjHfhFevcwMjciWuRMHPxDX9mFgLLb8qUBrmaqq3Zft+q0D/UR9udEd3BBY3hCHvwTuYMfuN56+qSeLe/IOIYr0ecdv2lpeUW085K6wEkXw1cOPeeCX8jF0JCf0Zv5zUduIQsrkttbbz2lduPDd+kHrAvHRidicYldvMiP+6K1VTaK0Aehv2wc292jpckCZIK+C1piLHEHL9MWvdCLW285FdvS/eiL2tc0aUHak6fof2zIc+gvkwc6gkW1M53pZ5KvpsIL9/8+p+/nRAPq5BIRu12U0Cek+zDW0jk2AECUP/+ywroxHQLlK+88FXjYRvro2Qbw8uWp6hvzAiqXCmSpFrwy3Z+HJ+lI8zu/98549JHH4ge/H6dvv9N0+3NUkzzNMvb/rtd2C/KCyW/ny7fFsbAfJ4h8OH67zl4XZrQARwpVSrnpfF0LWoGlpSLD9zd+A48/O+8BK8voY1Lgzs/Pa63e34HpDirTpSGaz6QzjZGX9AlKXjKCsDQ5PWlrH4R857qBH/lsjtsEzjo382Q6cpffdGD81EV57LZxJ+g6M/0LLMMvlRIudI7p85HwGFUfmKwN5ZqOFJA0sdwZLr9l3wqD5m/j9Gn+VziHGjfTxx2dcmnpil9ZQdLuHxBsb3Gkijt786dJo4j5+cV46qmn45FHHouhkdG45ZY746UvvTtuPXW07IJp8sg0wijWzIoGH8iL61vj53QoQHHMj305TVrWeIMT5eATwSDAl0S9+JLtk0nBS5+KrHtN85toDH6K70TaZv1NS3C0zw0wXJ/ELduy5TjxwkgkLR1p+g/ejEfWA1huC01a8jXzUKH/+itx7NfNyH1agHWe507WTJP138eHRtZmWl77GfpmHZt1T4HIb1n/Z9MBjULKz1qv1N8oj6NPWEJyWy4w1f6zPL7BONaL08cqy27AktzaSMq3hgAfaePUi3vKilNhPNf6ImlQ+gsJc0Lz/Waa1XqCFIl15tpf778YrZ4rr98DowTgVGFJiyZfaBu4LLi+Ca/ma75p5s3ftS4i1Y31dU7T0vAKf/bV3LDI+0JfTQl+TlwgXa/Vi2fOX4jv/a7viUc++bgdwlut+Eff/h3xL77jO+PyxYtS1FTKFUuCPyfYIg7P/R3ly18KpmAreSGcGIiyssJqQkri+l6qWTr9BJFpmvlu/E2aFFJGoXYU9BJcsi/hcPdv6l7XPxXMfn4jJB4NFXEoxgJv6WZ46/O7+Kk3LTp5el4LnvIrHWkpWyBVdh6aS+Ou26kT5AwgeYwbuJZvZUE/YflODk/jHjniiLCZ3uVCX4wWYFg5qBaa7TLtxaPISMvGk6JqmoFC4nPDe9Gy0LZfxySxOyLTu0lz00P49wmQNMIbOeucd9NVnbbsK4woG0s5AgIW+DaNJWrCspfpkfgb16Qt+YyCy0KpJv321b/wILkoWVKV9F8jT9K6SYxSX8lBMThazP7txSgzHTKs0hAxfpTzzLlL8f77H4iPfPjhGB4aj7vuvCP+1pe8Nm45BZ+LgQutPIkrolOv+jBM81sznJWXmYS3HD7hiuuMwmWZLeWJduR0buMpO1WZgYNe/GlHaNmXm7XVTmSRxIMHLVEbcDFiLPOGX2Sp7FwVLwqB/d20xVjimT/qR7rMT/J8z++cmXEd6nSZ3mkT21K+wirUeoo0/LFM6jaU6TkhgJlF5NqziZz9lleWkT5/+Tw35/hiTldpKV0izotCawZRWS6vmQ3W577eKvqoPJOWumYZ0MVLZsa1+V6ACp0Spu/wF7nj7nwsdbm9cnPbYWBi3UoumF9ktJCFvCznJgxmVhi8ZVm817ln2vCg10rLTFzprCTDy8s+s4xyDcvnTToHssDM9Y79GYVvkQ/w6NOJs0Ldhi3fjg2WuBiWkvd5aF2QX3J2xs/GwzxjRivrSJ6ijvWO9+mP5LLa8eijn5T8+Lml80JJlzC44/7BBc14vnr1qvoa96+0oZB7Rp/mEfHYY4/3yyTPxmbxUWTwUvTByvJqA047VpZXSrmUjyy1dGaqCi+y4bbVwE+KhRTQ2T5l2R6yDn62bN5Ix4T9fN3dm6k0C0tfkAsGieDa8kb8+E/+XHz0oUfkkAtx+XbfvffFnzz8yfjef/lDsUNAOfUMrvx/TSWyvCee+FS8/e2/H3/0h+9THAaUh/8MVb+jJ0f03/yNt8Ujf/bJUnZ+hweS8njyybPxW7/5u/GR//JRfVQZUsjZ2T43pqSV8my3oj3omQwYyd/lyzgQmpHc8ffhRGq/i1grU+B6oXSeOkcA3EF4WU8kK3Aoi23p2dHQsDnKQmv/okG3rClDj9oJelu+DCpZgodyMS1RRMaXOD+qS+mYzz9z0QLOS01po6gRCQevQ4llTBivIxOwsBn8js7DztaCW45XYMqXMimfP6afuZdi+o59NoZNPxqf2kwhFo1c+JdMy0vlu/puHFSJQULsJndI0HBhflX40EFwfMjmZkcHgEJv/qDJlct0LPI41Tv8d5L+IIA/B5dHqcaNLcN8U316lZxnqV8aXV46I5eVHTOPKN009oGPb47xcNtguTbLMm1adgJV6fzn7fLubMwflpagt8vh7qMEeOaiHOI9kc4vWtGqBmJ+cdlNoVQ0YxB94uFH4sGH/izW13bis1/22fHffcnfiPte+xrUVgkG6dkhSu/t1W0FxUvgPvFH5ZYgocRy4ZQToUN04Jz95MWADAG2zBtX2hKdUy4z8rYVi/Mbmok0bX2Qq+iO7KuedE44ktpvET5Y9g1XwMt/zGhykT99fURrxX+hPnx1Z+4y6jryjN9c8p2UKdPUn4vDjXE6d17KSj74Thr8Npqw09jKdyzrJ1wB1TEowKLNGraPHrEMOA1LW16C5Zn8+K00r6FBYmvxRta/lhyRiyyXL5mn+Q788pk7csxdkPCLU9BTPeo99aP8/N5MW+tsfGAo2/xoGrjJZ7eNNDLsgyRYJQ+/WXprwtcu5MJf3iuatVCt8Unckjdrqyxdmr7IEAZgLumpEtKVxZgq/Qcx7YBvJ3VvJBkU/fssjyX0kwHofy8FgkwtUyybGg8vpeZyIfiAJwfzGl/TG4MW3y0ulV9m66V6in6dnp7pG/CkY+mLOuVFPpb8gJswvFQHXuY1uneiLOXyjjZ56NC05Md5WO7ElcRyjzhAk9zV7Tpy6HMd1JjyOfxXIXRkuRMDzwZ64kE+G7Tw3bBxifB362Xkj1WsIoJZrRfs3jZLKR9fBwStbpjZ4Hj9B3/4vri+vBy/87u/Ha9/w31SXsx6vOUt3x7vfPc7Y3N7J/7Lh/7YAiIYZvqz1cy7kzxjkcTjruAMEfGzP/dL8X/96m/Gn378ifjFX/qP8U++/V/E+sa2O6gMyBet+OEf++loDw3Fl335l8Vjn3oyfuAHf7SoLMvlytZm/OTP/WL8/jveEV/5lV+hQI0/+hM/2a+iymwI47M9W9BCMagGpSjLEoMs9hyxU8sqCFPvLd1FOPu0TFowrVkoUoZ/Fm5o7u5gfXNbZ4rJipdhRWe7ruWEpCWRv21wIVTm17aUOw2L555OeNZIXMrMO06EZUPymH3QVZbFCJ2gNGoYCDPCS2NGcRtH71Shfs4K/vz2s0Po4/CYCci2vrFVRo9uoOwQKzrWjNIOEjoOw+R/gmpymUwYO9t040U+KTz54Poii53ilKs+QrMTeyXomamLo6Z9yNwRwdudDoYNJXGER8QeHYZkgg7LsX2gARCsMAiUWJS/6GYDyt+BY4W63UHJ+hnYuQPPMtaSQyf+RrlDhvdycnTpqriD1JXdYXJ2JuBgKmATK3cOURI0yQ6vxidiGX8E4LZw9NyM3/md343//J9/Lf7044/GXZ91R7zh9V8Yb3rTfXH6tpMlTIEN7OQx9Ya2hmlF69144MAfcm0/OtPKbxUNWYaNs9qQg5bIVMHXQmr0RTt4rO115R2diPntGqfjO/z37k/HsgLnkoXiJJT5XM7YqysUnW14WAxLGTa5G7VUCejlc8IFZnY83PG9yfpTkngoY1USpLQ50MgZWrcXCYaQQy7sSuQ8vMSBmAtfnl7x77DjruVFslpAUCZ/NsQSRguL30ay+OOI4uaNiQT+/DUv1a/oLH7DLwWiLTLpPG47zmd61DDcTsClhm2cWKaqjSNmDnlPel8YodrxqIle60LTFl1DOgfNzPTcO52iv7ScGtHGiFGCul7p1CzZrTA0CQtQDLNePevCd+rMRwwZLpGn0Fb1KfKD0Z9ps56WUWXTt3zvOgAr6V3jRvtuDqrSOOr3EXje1gIAACAASURBVAMDpd0JGwEXHVO+5TM13nfqBicGVPxBMzWBihAzrEzUOrc/oCrUUty44gdGIdBouAQszXy7u0VPlhnBAflO5TK/8bOM+rfLtq+fV0uoN/RNWuhnIbKoL/0qMSl9o94WPV5SN+Qq3zy/94G3vvWtb61Z6MpA+JrhjtPy7vd+QAe1/s0vvLcfuJJ6kXdwZDAuXbigXSyvfs2rGnmbkJsV470WmZovBezM2XNx/MSJ+Ppv+O/jjV/0+vj7b/6K+IP3vF/Ohi+6+y4RmJxvf/s749r15fimf/jVOpT2pS97SfzBO9+rnQR33H46cPv5D7/yn+Lt73h7/Luf+rHAafDOO++M//R//3rsbu3FS1/24oYQN9EwU4UMLUYjiyqeOnMu5mcX4gtf/9p+/RgROA6O64MTKss1Wetu14dFIjymp0fDWPy+vNvCzrTMBlQxrAM2CTyYQt6SwOPka/3G1lcbZARHpDDgp2Ow4XpUwY6qbJCUb5hgZwXEbgUBKNikA6kF27VIJ9KUB2jPbo28kJV07gQWu3OmZ6YbYJEfdrrguOxRBJGG8xBd4ACb0VfzYEp2fykAptCwAmXHSgJOJ3ccZQWXZQecU+VoC0zvItrd46BMHyQ5xsGvgzgVE3HadPOOEnd8FIXjoXDKCrYY2WIY20j0wbcEnBzsR/rGPyid74VfrxWjOG9qlsC4AI5RfypW6JT1TYMAgykdf4GD4s4DSslPR1SPQo0g9bRCZH2TMoZJGG1tBqBGlgEU6MXzF+Nd735ftIaG4+Wv+tz4wr/x+XH6llNxZGayHOjbr7Tol3jxVqP7MqsDzHSETp5CI+STM9gUPyvT8LJ0Fhg2PkgXelrHOB5VXe7QEFGUoZxlhVE9zqSUU9St5N8Opp4J8HdgkMedHrTSTBDtt0QJh0fZFikn26TrV0daTmyGhopcMDov+OY32lC7GEzAzFkn3yW0wsXP1qHUqZ7NMJ6SxUxegCPn7tiJHdUONllQR9pawqctpz6gzrlpxCBaknHPkppqlAtc53GqxDnrBD0y0je/aWOj2oxiXElHuchS0u5GGKTxN/NXv7UkSIPT14CuNc9cOhzPi9/WieVb+eSNFFixlg10nvhS8noHaQ0HOaXeiQ94p2O635lvbrvIg8szT4phWJzXU664s/tQqqwMTsHnwOSY5JzvyINnAFH8pj/lyXgruIJX3dadhtmhus25L3Bf4e9g51lBnkHWM1U23BP3Ijvig1HKzQcYUtC9qUfJhey4ziYA8Ma1WYWvfmcHcXhq2tOW6/7EZaezP0/w5cDEgZIGPNqimyCWgJ+8c/svhJd82cEbmkJH6qt+6YYlcpf4/P/v2pdya7T9IpU7Ty960d3x6McfjiFOOhYZbS2RprfDuTgbcVqn2NfWt6Hc/L86kiL0CFL+kfLuu+6MV3/uy3WgQju6MTrUis97zavi1jvuMiD39fGrv/eO+NIvfn2RRzrLbrzuvtfEb/3W7yodVvo73vbO+L7v/leaqiXQGGx8w2teFT/20z8bV2c5t8ejQspHBC2GpoJwIkHBjzgzHsUpm/7DCPOFeHS184KOkIvGlzsDENJMN6ndDcXSZLeRAj2Wz2qxrZKPPM7HTjU3Zr9zYyMgICOsMvrSMNWKOTuONCrcgbEF27ilwvF5Z9kYm7FdTAkaq6eRa78NFCSKOy9wqWcf2FUzpq3epiY1QHmbTplP0awTQOEBEdKb16lTJ/pKGe3k4GWkcB2Y4dAJ3Trnz0tsuQuQVHbI9w66hMsSCztIRMtyvlku1YAvUoCRktxCBqhBjsjcHthaSwwi5Bxcmn4dhT/DjlDNN4/2MMQIXGm6gg+GGXDMY/KxQ6VpiLLLzLtqjL+XXdxWSo1auROLZweNxaAb1A49p1ldWY1zT5+Ld7z9j+LBh5+Il73spfHmr/w78aqX3hOToyOlFSKvOVtqlWB5K+WortDHhiM8gCZuN5Y/Unp5qg7xodFiQ/bdyVNX57EYoQnJbRqwnVjxnYqxaaWcaspyVxunbr8+8sP5CzAZlsKeisjQMO7mKceDWI5cQ2Z5bBDDB/1pqS2NKlVOcm8ZLnxUh0mna2Omn5faqGNRxUrdHO3c5fHd+GrZDziqGu8yNk2WUZVl8RoXdA1hAgwDiCxT4hdULsUf4wgmrqSLlzdVUEHL+sypMqvv+c5hBva/s9FWl20eqKQb6gx/xePivpH0kd+WvoEIvGVwUOsyYClEiwu2MiWNYqqlfJZlb2opo8RLSVlGykFnlyVFyxsyvqyzytwZJ23U5gXD9K+XIf2s9i5/2sSX2Tdme4Hrdre5wVmF0M3GIDLuurt+WRXrAJZzS3y44jwOLoSkIE8aTTtbOftNub5yh7GfWnH92nX9RJzgiY/rMt6un09WIJHllKOSOOcyeWzdjp4QvgYc167OFrguu+k7VZKUfiBx4zSGdel78OAfrhhNt4PU/7kqwrPfpWwTuqd5/E3pd0oRTt9st4nJ83dnGqN/ZSPIezKXBG947b3xCz//v8W3/bN/Hl/6pr8V99x9V7SqXjzy6Cfj7e/6oyCC8hv/5hdqZFizog/6L/SDciEKxAaG4QzEqWNH4mWfdZve9HD+W1yLp8+ci5O3cHaVGwN79z7nFZ8Tv/gL/16Mv3xlVsLzyle+XEKc0cdf9apXRS9+JZ741GNx6tjra7xwtqtCipTgiMRSoqEMlC2N62trfYMDQcAPBJ+l2++8Tev8zF7Mzi4oZsz04cNq8MTaYMqdWDWbmzuKA3Pl8rU4enRGI3ScOzlmY2R4SIYGMDudXhDA8Nix6eh1fbDt8vJGzBCHaWBAI06M05HRAUVX7nUZ0e/GytJ2HDtxMLw0V8XC4kIcPXYkGATbZyB0wOXBgwcc06T4Jx0+fFjxU5jqZUTqLaz4qBAbBHw880P8JYwaApjdM3lAy3Wa3aloGFsyCIgJggF1/fr1uPPOOxTrCAPxwsXLciaGoyhC6IrBAy7EhmKL/+XLl+KOO+5QIyP+06VLV2L68JS2taKcWO7s7G7H6VtvC2aNdvcqHXNy6y0nFNqBg105YfvY8RmNoNgazHlPK0trMXNkWkYSS3LnL1yNF73odi3N0akRo4qZnu0tYBIjqafYN1tbGzE2PhFrq5yztBeHp6kzcUJ2YnVtLW6/45S2PrPusbyyGaPjY1KdqyvEcirHp4yOlFhRY3H16lycOHFUNB0egb6O+TI9fSjW1zpxYHI0rl69FidPHhftB9rDcf3afNx62zEdMcLhpByiOTw6oG3OW5s70eu2Y3buepy+/WRsbXQ0GsMIZos+23kfeviROHv+kgLx3Xvv58dn3XlnTB8+ID+7sZFDsb1NxF6OdMCQnNCMmY4ZGRoUfoxEObAYgwTFd+jQRGxscFagA67yzIwXcoyyHR5ux9j4cKytWtEvLm3G6dPTwTFifF9dXY+h0XaMMovHzOQICn8ljp88HGsrDsWAg/Mttx6VocnSM+0H43J4lOVEZiaJ/7IaR45OBQf3Dg63dWwO7UMzH0QkVpBDjugh7g9BQu1nMzEBrjtaNof+hw5PyKmc+iMHyPPAAKEMHDJhYX45jhyZUgA+YGHctDBIBwbVwdNGiLGEzHR2iXHFzCW+KMwmDDrQYtVSrCY6UoIxclj11KHx2Ols61BtOo/19Z2YmhpXcFNm6oj7NTo2LH/BiQP/H3XvAWVrdtV37ls5h1dVL4d+nbuVkASiCQrIskhGTuPFGnuZsc3ywmuYwRZhbAZmxhiDhS2HMWHAYBuwjW0JLAuJJIkkwMiNAkKd1N0vv1evql7lnO79Zv3+/7Pvd+u1JDAM3eOvu979wgl777PPPvvss88+I3KWP+znDEkOXkVkOwYUEzb8O1Aq52+vxbnzM2q3ZtNLzYMDhAHoi+XldcFTtby9HhmkyVwVMT4BX28FW8vX1telCBw/Phn4DGJdXphf0VLt7u529PUNBDtEJ4+NBj54HBKO4gYcKPe3bs4G8oTgisRdI4xBo8uxtOg3WMqgE9KdGD7QdH19VWlazUbMHB/TciTyHzr19OBc7RhL4L2+uhUnTk3H4uKCYgkhJ3p7xmN9YxVbUrQqdshhVeqNufl5tWdvT3f0TfbH4uKKDuclBNHo6IEUp4H+QZXD0ixKOMoUdbNMf+pUf6ysbCp0xu3ZxTh77oQcsJeWF2NgYERLlVPTE7F4ZyWmpsd1aOzw8FRcvXo9Tp467oG/wrUAhQ2/VPBoxbHJCU3KWB1YnF+K0+dOxubGpmQawSAZc1dXCEEyFF2thkJmEHaCPnbyxIm4s7AS0zPHYu72nLb3EzMJ5YY22NzYUgw2xY8bGw18SeFpZAIWIhzEx8Ym1LcIF0A6log1bwtCr4zF7dnbWl5HgRofH5UfUl/vQOzs7srSg0JGPchUxkH8yK5evRb3XLgniO/FpJX6WL2Ah5jsM/FmUwIwIP+xtCJrCY3DAfYnTxyXbre2uqm+NDTsEyboC/AX1sax8aPHYtUD94t7d0RhurtqmcWZwVdVTI6Pxjvf+Y74rr/3PfF93/ePotFklnkQVe9APPDQI/HX//pfi4F+ioPl/mgXZ9Oxet9VdcUvf+jX4oH7LkZvYFGJ6KqquHHrVvQ3uuPEqRMa5FGx+MhgT3C/w4ODmLs9r5gZp09OFEGKpk88iIGIRnfM3r5VgLQJ9fv/7x+K97/3Z6MLBayJP0Mr+kcGpWx09TZiY+8w3vD6N8Wzz12WIvDwIw/F2poDOSKQEJy3bs3Fq1758rhy5WZwEO/oyGhMTREuv0sdq7pzoIN0T586Gb/+a78Zx45Na5C7ePF83LwxF5yjNTU9LeY6eXIqnnry+aBTc7goVprBwd6Yn6cT9Eer6omRkcl4/CNPxusee2U8vzAbJ08TNI6Zwn4MDYzG5tq2jhSZY7A+cTKuX5+Pl79iJC5fvhaPPPJAnDp5Jp579rKWy/DtGRoakRl+YWEujh/3oIWgx0oyPT2jSK74Hjz37CUtRaLgPfnk0/HqV79GRwOsrzajf7AVJ46fjWtXb0n4dXXdcSyOKpQWwcjAevYcON+K/v7huPz8TQ9EPQ4siQ8HO2BOfcljcen5a2o/BMzxEzOK0fHcc1djZGwsdvcsdD/0wV+NEyeIg+QgoLdu3opz5+6JT33qaR0zceHiuXjqyefivvvui6ee/HA8+OA9MXtrNs6evRA3r1+JyYmXSZjffG42qqo3ZmcX48Tx6fjEJz4aF++5VzGJLsTJmL0xHzPTk9Fq9calSzdieGAoFhfXYv/wIH7no5+Iz3/Ny2J70xZWlIOZqYlA2MJL0BehjADAWf3Eyeno7++SkJ69vRQnZqYkYFCY5udXY2V5oyzPVsHOnuVFAmBGnDkHP0dcvTYbo6PHJJBZGlpa4tgeKz/Xrl2N5y/djOtz16OnZzA+7/NeFl/02OfF7Vvz0ds3KtrOHJ+UAy/KILNdYjwx2M0vLMaZ06didvZO3HvfuVhe2ohTp6biyuWrsbs3Et2NwdjcWtOA9zuPfyRe/erXKtgcSiDB9B559IFYvMPEoTfu3FmNsYneWFrYFG5T02PR2ogYIH5SX0PhKdbXHRwS4d1NcNSdvXju0vMxMjQeu9v7WtocPell7rXVO8Vyw/IjFob9mL08GzOFL5YXV6O7uz8O9lnWI4hhj5bR+wdQava1lEye7u4d0QslGKMIyiWDLxsAUJ5XV9kYMBLLi2sxMzNZImCjGG/EQH+vgpiiyC0srMTpMzOSQT0EouSg6fXtmJwc17IiZ9yiIAzJQdhTQBS27l5m+17m3Ntrxs72VrCrFb8QLsom4GNP95Csjs1DW79QwkhTBbLAlg0tKUcjhoZ7FaOnsd8V3cQUGxyJkTGOMWKX5LDOp+sb8DKZzrtsdGsTBAobSzJavo9GDA4MyV9xfGIscAYm7hJgMTAymcXRnYvjgFiWZrI02BiU9WJ84pgG1Vuzs3F8Zlrx3qAvwQ/5JaAq3ggM/myOmTw2HCOjY1K66S9MPmQ1ZhRpcFoBMYzq44/YcMJK88z0jNof5Y1o2MSVo28RkJGlJfrHqVMnNeFk0sREfGJiQsucu9ut6O6x4gJQ83NLcfIkLgRVTE3hotAlJY1xbHKSOEUov4xomHCaOrIJ5WuqWMRRmrh2drejimNx/sI5KW0EpUSGonTSP1mh4PiUoeGRGBnxJBYFA4u9lrsaKOoEEh5x4NOwPyhxlThyxUtiuF70a9frPRcxIBBDC0V7UzzHkhiXdw+OKh/PKMfQ55WvfKWUtVzuTBcMxqI3vvH1osHpM6cV4PLRRx9Rm91zzwW1O+Mp/Ynjv6anp+P27FycPHVSYypWa1t/vJR6/LjHvOcvPRdvfOMbZDEj7qAnhORhvmRzyJ1FFFCWOL1UeHt2obSnDSHVCBtBHEeK8TuNOSrkJfjncypMCY+s6lXEyx99Wfz4j/+r+PQzn47HH/94RHdfvPo1r4zXvOzh6Nfatiafme0P9Yu6BTGvXrkRv/iLvxQf/MCvqlP86A9/f1y4eKb4NuD4iUXIplVMmJCfvChEWHcPDvc0a2ewp/NJo5KPzUFsEUdnqA6cRn1jx6bi7AOviEOcn7oONYA2DltxsHcoo3H3yoKsQg88cK9mCj3d3Sqfg1xPHJ+RBQMRxkz84sUzUjJwmm62cP4diPMXTgmv7Z1tdbw3vPGL1TmXFpfFqOcvEFQMq8lCnDvHclQrXvHKhzWYMWthFoOwGB27EGjiKIfMul732MslWI5LMWzE6dNTmqVcv34rWNYiGvi588cV6fiei2ZWlCVm4yiNwkc+a94Bh1Xqwj1n1HbMBtjZQCgBGPXixQuK1/PAgw/oO1TnjEEE+fT0qYjzEcsrSzE3dzMefKgckxONuHH9lszXL3v5g9qVxAwES8TwiAOpEeF3cdG71x56mHwh5WxopD9e9nLqasSVK9CAeF+tePRl98tKNjyM02HEn3zrm4XP1as3Bc/ouA83vnDhpI5yoO0fffn9sb66Ga9+9asFy4MPUW4rLHjApIr7H7igXXXDo0OyFn3J619NSNDoG+qK6WOj8vVBqF+5ej3wkyPS/emz03Hl6s14zWvfaj8grBs7O7G1NSqBc/8D5wT/rVvzcfKUlx3P33NSabBAjowNxMSEA0B2dRPErRHAzR8B9WBdCymUo+3o7ycIXhWPPHJBvNo/hIiv4sKFqVhYWo5P/JdPaDZ96sy5eNvnvzJOHD8eqyvLqL1x9gxxleARB00l8jIXAyMzONr47Fl4pBnwI7+nzxAUtBVER1eAxUbEiRhVpO+Xv/I+DZSUgcXAA07EPfeSl0B9wzE2MhTjnPEXJ2WdY/bvYMzYGVoxc3xcvDw05GVbfKCmj5+NLi2RdGn5gHT07bPnzL8KNFh1xclTE3Hi5Jh3QlYRU9OTslxtbDCrhzeacer0MW0BX13bVfscmzKtW63aFwcFh7hS6U90ghlvVDE1w2y8WQawVoyOjMTwiKOos3zKpIao3bJsNaiPKP4ZZK8Vo+ODsbGOBbMsdw6EnGl7+tINgeU2IirPiI69fQQtZNDZiuhqxcwJw7q747hfPRUTApyny2Q1mpJT8DHxcKFTBgBV2IFWr6KeDw0Tff9AigsKSfqr9B3Y74w6kT1Ym9j9lBc7nJaX2CoOWT2ATU46ACHjHUs8BHW0kkLdPoD6vvvuUX/CFw2oCAg7VKFUcQ5pS5Oti+IRJoIMQZUimwO/K0N+H5RDvD2wIuCRE8Cp1UytQdEm+P3YTQBrFBHf4T0+4/eJJRElQ+fzRTMOW2wm6dMOL9r22LFxnXLAhDfzYdG2f5HrxmfTR7S4bCw8GnAKoaAFijZw0DfZTIPiYxisBOPnWIV9lCiVo0jOnDst/oL+XFhjgMEXy34HgQW6rgyrLO1fUugIqaU4fmK6nQ8Fy7sHPSKSEkWN4L7wJ76H7F5Dmct2f+SRh2NxaVFynromJ4/FlatXtEqQsKHEU7H1HM6nJMjvZoyMmkepJ9ube9oJpWtnZ7v4anLWp5VuQ69UceLEjJQl0nPRZt3duRkDd4h9BQhO/nP7J43qkl6suyOBKz8bMGJk4QOgRkySvCCptVyt5+da5B8B/NLOlQKwNGJxaSX+1rf+nThz5kJ833d/pywRTz95Jd7+7d8W733XfygdxD5BzKC/4X/+m/HTP/Mf42Mf/9343u/9B/G+97xbTJygPv/pT8fX/tX/Nf7RO74r3vyGL+oAFAHONv0CQFkWLBwS737P++OZp56J//M7v6W9Mw1lQo7J4mAsVZjXN8tswHRiBtY5S0K4cZlZdVeY3UuRzJjQuO1M6fOdVldWZQI17dl+vlOWzmgPdvvYQTh9hWBsZvnq2K5NaLDMxCCW1/Xr1+P8ec9UeMdAlPGbsq6j7zx7YYbhy7TSUQiajSFQWnHl8o24eC/l2j8FE67plHhDA/JaYGdnSbj4lkLQ6fAtah5xBGW5kFmTZQ0dma3thzEwaAFM6RscbTI2rjS0f7aFlXLGEvwefGyMeZ/zm3bKLLfs5Kq6YmNrK0aHRqTYInRskSAqrS9muiNSCtyGvGXrO/44pCchS36aSdmlRhlZ/srZnvFMVkDIWkCR8IX90nQnD3gtr6zHL/7yL8cKis/waHzJF74u7rsPRU25dQyIo7M7H/HEWNpq0z2LKzn4wVTvQcNl4GPS10f7GjaWmDlBnPqt0DBrZjbufgDSOfB0yo+ks/BloGvHnQEIrJmHId+nsrUk+62IyEMSPeVQm058aH+s5RTehYdV4KTqPuf+h7UOy0FdPrmRAbVTcTrJigKKQZQ86DLYLdV5yHWbfMUty/TNyZrpWPM14L4wcKvbtEOOykHWsFGCccDKQ1sAK0oUkqsTd0NC32i3sdoNGruxXQ73mdZKUz7nryajyHb+V1vnBLSzbJcDblwe3Lh7IUxZrvng7u/J88afco7Qq8CeZfjX+OS7Nrz5ovxm22d5LpuPpX1ErM5MbmO+k5fLtEyaFRiBSUxEGsNSy6RM21ku7/hLvqhxdqq7aZJtDt3zm/t9lmqcs8x8m7+8Jx/1UGfiBfxWNGteyLSdebnP9jAMbl/eFdSVvNQvnjacdblZnn/r94ZJeBXecoq74DDjFTxq/jta6ovzZA5XXQDJ3wsvluayM5j4ySROa2fQF+b7w7yR/yOzCJmnG1oL//Zvfns8+Xu/q+CZCNh77z8fg5xPs71diMgOjK5YXl3XDjs2NbEjjkiumIMtFI3b7O15WYjOnrUVJWGkiVn/RvCQXp2joyN0d1WaLaNoJ99mHJCkAu+tcMAIZq7cZZb1mGkhu/9wOEy6I/ZQrlCWxESBJa2rKEulhEarKEvgY6dh0uZOiGyfTmWJnHSqGhbT4vyF865HSqKPN0lYXH/iU0NfK0v1O5uCzUrwycV7oW3pmBWzx+GibEBXBglRW3inQJfVoF3kC4W3FAv5qxmX3JXleuyIirIEDaEtgx8O3lh7sg4fOwCGDLwWOjk71lsdLdEv8SKeZqNA1YjRYZQlUVEw4y9n+vCykrIkoSL4TVtmpfY3Qaqw1IHj/lFBZ2UJPiEPSm/GMYN2LpvyrTwncZyWJ5Z7PvxrH4n/9J/eH8NDE/GVb31rfO1feFtRlsyD1G2aJ/wsBTHYugZHLAYGC2Z9KLuhqNsXZxyiiJathfi6MRtWO6aSiLMr7QsfiFiq5+72zr6jNO6YHcqhQzLgj9LugwIAODqVpYKbFEYUIfNewlu3jQcFlmXwUzIfGLZ0gC2gllqStuZd0uhSsD58tKAbaaxMo3RyUd8R+qX8KG3YibMm6spDUVm+y3RZWEUc/0n52mi7jVShotRTiPH2Qc+GIeHht01eZYK2lEs69y/DZVyTdp356zI0mhlzum/bWdf3pjc4+Llwlp6zf9Y08Ot2k5VU/NQbD1C+3RbU5fKVon1vJd2yuqOI0v8Ni8s0jR1Cwo7jwOI2s5wwL9aluD7yOS+wkD/fE+6BS/RVVTgrI8eTLz3hqEv0HZMQl+l2Y8kRnJnw8h6/zs4LnyeCfJpvgaH+62yvNh+VzOQzrDBPwmRcSOIjpGoZizUycaNcJjr57N/6PLqEb3OzdhInDX8L8/OSu5kHX9bOC2sfV+IBzox/wk/gZd1H+zP+mlwut8ZDL1/kfxKyUi1DiRuF3tG+T+YowsLNmj3ZDWKlCmSONvp/Cz4iJBk4zFMxSFzWPRfOx71tiwUm6+44c+aeeObZp8x/hZhPP/NMPPTwQxouZ6Yn5O/ya7/x4QKThsm4fOVSPPzQK+LcuZyBFwhLOzSIMFuECl8Q+GDomBnqaW0G7ozAi/KyeGdZVgyXyAGJW9FqWfjlOxzlXC64IcQ6dreUQyNJIyZSJ2oFh/wmXQlEyPIBfjGeVTr2DofvusO6JnxPOFkcuBgU6ZwOwMh3I7uyzOHBFoa8S4GqlleQuj056QneogDNzjpYpwWgI8+ilPhqytETJ2YPrq4LEzA0NWvgyEgHLVkyZ9O+EcrRcMRafyJhI67fnC3npHl3GsInYypZEWnF4h2cP83SDKL4xeBz4Y5W6fnGzeK7JtbK3UVYgVwPjsb15dPLsUz5Mj9iyanZnAi3OItyuQwUHztCu41JPDdPwM+SqpxFRRpg433m9+DvJ5z/VUIZ+XCy1aGdK+vxzNOX4of/xY/HpZs346u/+i3xZ776zXH/hdNxuN9UGhQ+5VUwUfqqYaMoOW67d0vBwYFebFDqARP4xUjyi18N+d3nmVZsbnJOounBd3yDzG9Kreq2thhYinwgBtQ6fliZx/A45hD9irRV7CuEl32U4KFtBaksdausVgmIST1WIhwMM9NwMDEBCc1PoAQuHL7r9qF+rLRURBH6R/Dn4a5SuInRpYCloGD+gPbO5EFOwfvUftQFDXPnZC3cNzewAFOlB1mW4Jj0mdQ+Gd4DHvA7OthCagAAIABJREFU/5YOeM2dXFgnDbvjdhlnzqBzlGxvFWcjiMu0/PYgYxqDL/0Fx3YzmttUg7z4AgA9yEOrjE9lugE35XDhZ+No4TyR1cqEnkr9xFhy+U5jGBI23nEQb5ZoHrI/mhURD/ZYbSnf/aO00U4qD64bPyH1KfEhZdTLidTDhUO7+z9ywYE3k/Y8s/RnRYbUpi2Tt85+6OCitLnbn4j1VkpcB3A6wC8KNb5snBDQxtCJKF1kdh3IeCy9pFcTKIgjY4Pbgkzgw6YKLuPQsdOxUBAHfkY2wdtwsEgUnhw/MBpoMtoGh8leGyTdoDBlUEnqwXqfkeNdDgdr+2xP58SS3HtXEFNb8MFReRqV/G8VmLJUl32Sx8THNDDOSEHDzmYU3qHgspRMu94FdCnzxf7pUJgASKqCGgD4/FS2aCOsCJVPiH/BznSSV2YS0kMoM8UfDg2ICECWw12Br10jDmN2bi5e97rHZAFKYn/ZG98QH3/qGcEgNq6q+OTvPRVvecufENNRzpve8Ob4z+/9OadhfTkiPvbJJ+NbvvlvRH+fG4A6s/EEtcng2/ymjtsbO8XhUcoAniOttDQIqiDqqiN9Uwiz8CGdSF13Avw68gwyVdF25ksGx0GbHVK+2LLelFOthaOJw24pBWmTEGZw2A9iGxkXMxqdjXV7w4ql7SBW11AojDe7o27cuFZw90xtje/qTX4m3gjvgK1LU8IqVlYcybwAKCsORxKIWxo9wuejH3tcz6ShPDoFfJExXsZG2PEAVSwcScOuCtdtPsJJMJ8pe2iQXVzFyhE92q3jZT7wpbU5GPPotnyWjcZ00DACpdLge+b0WdEA4Uf5OI4LZffZIigKjbDOtNgFmDMct/fm9rrEWsInpbcId5gXy9GdpTy2gYGP+FQorlTiwWRwYEC7TMBNF7vGFJ3ZQhmaj47AK03tBCXvQE9PPPPEp+Pnf+6X4ld+/TfizOnT8T/86a+J06fwuXH/JA6T/DUaDEqG377EVkjA1W1JvYZHlq3wKfHCqRxxAk1z1s9uH19W8Gy5tSKGsMb52NYTwwHOJQ6qhDn4DAx4V5oFvAeQ7i4fqAt/Uw4CE9+StF71dtOmZUAo8ObhxFjwoIvO7hKvedltZYUdUdRinKkbq5qfCxYIsRK213Ryu5iPnYZBUXzSVUIlFBnHV+jIwGh55/7SbktlN31ZYpRAK0dxcHCwdqSr3Rs6QLZApP7A600N8mXgCfyPPMmiRPGQlF6UeMMMfktLi+Jn8zVBZxn0XTLfWV7dlzbKgE5bt7TTVSQ1N2t5cXubaMzI9Jas27fnbrqQgpNjT2W5TuNP8JI7kQOJ8hbFAr63HDBt8fMEnzL0OIuUlq5yhArLpcgv4OYP+UEZ9DP3IZUU2ztb2pGYFpa19bWO0BeGsZNv8S3Cf9JwZrDVrqJcZ13slM3o7MVSIzqmcsOBu71yogc2Yckuuy77U/JM/6pXCQwH/9pKzp0VWMdUqmmzt0ebejyiH6LAO/YUsNHWhA3gxAArXfQxH3tS+K+yvxI+W6qlMICUH3dV8aJlOGWYQSYmpnw0Cu1XebXi+lWsRYY1y8r24AM+W/hYZZtT1oD8uMp4Kp+4suux8GG6e5DWdftA4jLgF8Wv8FExxRKY1/5hpRDB9NL9o8CVd1fvNfGuuHzpshxN27GDCnk06IJXwQG6i5hubhcnZecPhiR5ISC/N2/eiCeefDrOnDgpX4bd3cP49//x3fE1b/tTMTqcykYV7DT70R/78fiqt7w5ent64qO/+0T8xm/9VnzdX/6LUVYcYur4yfiRH/t38cpH74+zZ87ElctX4iO/90R8/V/6C23FwQ13NwXyuQwIVcTTzz0X12/ciDe/6fX6CM4Iw2R6iHF7bjZOnfIJ1CRCu2anXKeQYWaB8Mp6SaOdLmJe4gYdCzqOAwP6OABtlS2BLClXnVOxZWgEb9vFn6deujEj0snyHU6H+JxwQWfgZedcXrQpMaG4EjZgZedUPvONpT/vrrCwZmcUO+jy4gTrhx5yUNDkDwRdp6KIhYlO3ckdOCvSMfK6fPmy6s7nvf29GBggRo9zseNma2NTgSpBB0GKedftYfxwyF1bX42BAZc7MjIq/hqbwMFZqnnBpWbm8XF2yviygtfSVtmsly9Dg0PiuUxHsMykM+9wlid4p3Y0pZOqTmJPp04CdXpLbpu2OtZkqx2zivds8+YcOKYR+3uH8YFf+ZX42O89HT0D/fH6N7whHvvCV0dXA3+kMmlR/3SMJGaAsBR04c9BTrPDlojHQoBt8Bk7pvO7Z7YWzl0aPMWiEug+xd74kwdTejN6+7DEQEte+SDUOjAl5vdd+Ry6Fp9uvi9ezwkC26+9fdnChTAU9BeW6Bg0abNubehInMENy6ifqbuKweEBbSHPoHgoVIQWII3LQBFiudtLatSFLxIy2solEFIfM2nqNH9wn7IKFN1HSZt/0Jsv/OM8OOkSsysVBHa69mppT1QS/9J3SZ/WUfopFgqX5bZq79RStirY+ddZF5OHzkG6f8AO5G3+YkcVvMRgBWwMcMXJHHizLA+2wG6Fxs7ChpW8PQRGFW75zul4534oArRlhuv3O+fwjl+VIZlvHk2XgsR5aBj54LId3bpV+mpdb6dzM+1C/zZsdX0KWqtCPcYQPqOzvVBurIC7XHgid48ZFviE9qnxJGW7zcBBwR+tpFg5pv4aBpec/5ovXEeOe/7muH1890WogCKqVT+WyZFh4C/aTxVx5swpPTsWWRTnbmjq8ZSS2CHoduCpERPIuGLB4Q39a2oK53LDTNpTHLzdkWZYY6+VtqRx7eNoeNNPNb/z1mMO5Tpv8pnHII9F4siiA7ApRBRqy+f+4kuZCutno6th+OP+94jTN5W1EYmIb/vWb4+Xv+zh+Ct/5X+Kd//0f4qbN2/G33r7N9WsAOzqJfy606mBIX1y/mfAIOuoP5mJeP7Ib//X+Aff+w/jxKmT8fo3vin6enviy974pcFWRVdsdQ4iX7pyI379V34tRugEjd748rd+meLJsKzGCgJNtLy6Ex/6hZ+Ng1ZXdFWH8bY//2djbDAHLkPw2WAVnKWzves9740nn3g6vus7/44yaZYsgArzUhnXH7A9qfNuOlCVTMwdAqmUqk5B4U7jauqulanqN5gy21GvlTu/JYB+7hRy7VKO+A3wNju2g8VlZ3d6BCVw+Q+c+HPzi0E+K1GS7s7DbI4SUzAlNK7fdXQK5cTHvNfZuclh+majZFmJO+/repht2/emo0xlyfS85488xMPZV9ypo3XwnfSZpwgDIeVyTWtgY+AFBtI6HwO/257vzssQyhLh7O2b8ZGP/G509/fFF73uC+LUqePR01s5iELhdVttyNguUjcMOs1WLhG4rrrNDZfhwAxOflvROnnT7WncjTOWT3YSYbXJgd5lJW700hZB/ApeR2hF5yzRn+t6khbZVp2wwU9WVvwVXrGSAcJJN39LHElTtzE4E9RTaRkIyvJo1mZpAe5FpJU28He3qemQcPqg0FSw/I3U5bvqKPVnFlqkiAuVS18pWTzsmsYspzlYreElfEdPO+q4eYdlx55eCtbMVNYIKxaUWMXBPgosVo+kY25EsBWW9mA5TezZ7t/Js+Qx7DXOpkQbv3xs/x7tU0lPoVdoalh4AOzk/yQOv1x+zyYJaOB+YuugJy0pA7E82cfT+bwxpL8/fYJ4i8M/tCPUAAMuB+3uti3RycssPVoxNv7kRPlM3uR7F1ZGWbhdLrQj3pr5qBUErkTJa+NY6H6Ub7MtcH9gV6YVIuDovJLmTLw6N4qQjkmh/S6dgzAyxKuDr+hTuGukkpjwMynPIMrAR+wudjdymQYsp22XwLmGZWGe3Xfs6nX7sNFoWDtC/QwticVVn3ThwJVj47lrzu2Eha9Wwo/iWePs8QXLYk7ys23AV6dEdGExp89/tjLq0v4473KKpTpMYFFebDt54mT8/Ac+JIvBxz7xySB44Uf/68di/5Dgg24gZm6ss8JUDz/ycJw8efyIoPpMwN/NIDSiGjwiHvuix+K97/sZHW2CxdzQ1KVIsCAIqyruu3g27vn6v6wZEyEG7MBqZYl0LMLNjA/E1/6PX6sCJGILY6FUQftkqrqGo3diD/JU3TE0YAsMQdhYxoAZYCpCD8A4MBmWHJgR/wDKPjw4lFMwSw04ibJ8NTU1pW90GmbHdFbMteq4XT1yypueGZMvBrRaXdmKsQmsa5xe3SV/CwJXsiUXtwQGJYIqjo71x/5eFT29EXcWl+LMmZNampBQr7q0u4vAYqzZs9yANYht5zjPMwCxtMfRAdRJ3BDOTKN92TqKGZdYIHcWFuPc+bOClTajo9FIbEvnHpwIWHfhwnnRAKFw7dr1wMGc9sDEShqOCWFr6uLikrazzs7ejhMnTsT+HlaI/rhx46be0/nxkcKPiCWVE8dPaXv6/sG+tpwTJA7a0aERHgTMQ3CwLs9shcFn8th4iT7eCHb0nTt3xssRlNhsCmcUTAIDIghxFtcW5d5+/bJDbHh0QDvfmgetWKaM86e1bMCyJT5auRWd9kSQ0PaEXIAPEHDLy2vawsx3zmkCfnxiCA+xt7svi8G1azfiwoUz2mq+sroWP/dzvxS7e4dx+szxePDBR+LB+y9oizrGxt2dlkJ54AM0OkYMIcKHVbF0ZymOHRsRP1Ytgvm1YnlpJU6dniq7xRoKPMcRPtbZ7Gg9OEgwSZ/PRQBGLHoIOixHDB60C8/4KiHft7YOYvyYwy/gY0N/oK37B1rBsXNYmxYXN2JmelR4kgkfs4nJUVlm8MFB4cJyxkyadkCOELfq9NljQfBF6A79CEHR30dcHgZI+sNuTB4bDMXU6bXg7uvnHLEujfMEAKQNjk2Nxu5OU+0KrQnNQR/DB2Vza02zamiPf5Z9DYlrQ8wmxwqjHAYJfGXo0+tr7LocU3Bb2peyh4YRod1qQ6x6HFyNLDg8wILG4dX7MXmM5ddDuTIsLzkYIkezoC4RoLG7uy8Gh+hzKK2tWFrcirPnCba4GqMjbFzYi7HxYQ2WLEvTD7a39hR4kyV72u3OnaU4dfqELHIM7DtbezE+0RMY0eTbU3UrKC7GVvoGAygDMpYDvhPPB2WieXgQYxPDsbO1I56kv0xNHWtbbz2wEtoixEcEQEQeEmyQw60JRkl/ZVLFsi0WKRR2YMT3lD7W1ejVUjiBEbUc3Aop4KNjQ0FcKiwpHJxNJqzzO9vevo67A2EA8G+Cr5nkYEVGNiDPsPr09tqaDNwMsMg+6EDenu5+HTTN0j2wEvgV2bu/Dy1HhAcBi/F7nJ6eLHRB/uzqyCvGHELFUA4uEGwi8U7pEe/AHe5XkNPRUWi7r6U54o1BD2gM3v0DPXpm+ZHzMQmMiuzBlwrFAP7U7t5xApY2Y7uJryB9sFdx+PAD7Dnm4JfwNL5T1AcdsY4xziBfoT9LcVjcqZ9YW8hUrEuOuUd752G49DUrWstLS4QhjN09b5ZZWlqVEYI+gKyCzix5Y80j4CahPG7cuBFnzpyJ1bWVMg54Z/idO8vq4yjy8ByrDChv8BOwgS908RFd9oFCwaQdWVVhOZe27e3rswWsjNcv1B+Ojtl/nE9HFCYAyZkvcVv+2tf9pfihrd34nnf8Y8Vc6O7tiX/8z79fpxIPETBrdycO9/ejpxth24xv/uZvjJMn3/KHgDdndmjxqCgNBaikoFqftBYqS0PR45nbogQpVYf50Hk8H6EAn0LlORzPCFbN7VCE/gCXrFUcRLlvJ2iYE4GDPwIz7c3NHcfg0Ywap+wdKSWG1ZakZGT74UTcukXgwTE5SMLwbL2HWXYOiBdjDNSpWyF6E2QPp1+cLhlIBgbt87Ozva0BBUE2Po5g3gxi2tDZcIZFscXZE9Mz8ZtQmBiEMO0SDXtkeFQDEcEuCcyHYCNSL/iZ0bc0k4KpCS7H9n4GUZbi6PS35+ZsJu7YAcbaO2VzqCPpoBEYXb12VeZhBhvFeFlekVJEB0Rwo1DKUVs7B5sSBChUKD50LO3qU7TwbeHmM5D6FLOLpQN2VxEhGYWN3XxE4WUZhi31y8u7Eo6CBYfevR35nD337PPBMhzK5/YOg1evBBa73Ai0NjU9pQju5wdP6WiG8bHxWF5ZkwBGQUDpJITAjes32udUoXStrW61FSborVneiAUbsW1oc/CyT0KX4o9w9hLR4n/hlz4U87eX4hWvejRe9rKHNQj1MhjrrDxbR3e212K/C/M1A0d/cOAxR4ow2CEsiYZe4fvRhWLtmS98O9jjyNR0M44HQRna2tiV2ZszvuS3g1P3BgoSfklVcGThPm0ovmSpzc79rWrXYSq09EtIjZ3oGxiNg8OdwOe6u+qTAEcR2D9AARuQBUuDh05mxz/HChP8S99noKRulrt7+/qDSM0suWMhgI4Z3BEeOmjux/LKZowTcbzbUdU5/LpqsiSNJQWheyg/QKKFI9tof6wYe0Q5JwRkP7y1pz4Aeghr+WZUTCCYyBHs1vFz9vft0JvLdzs7xEMbU7v4/DvCVBxq4OrrR/ksDtCVFTAkEgNTxJAGQGQQATWJS0U9+P6gFMqHKxqSDyyXyKG7WINQROlfPpOvIdrgDI4GQ5uiwNPXwQELFOVyLM/+AbLVAg/ept3pv1xesubssp44kGWMIJPEHgIWymDZxm4Epp/hZQBF1pm/2FE7rDzIMdqS71z4bEkh7umOoZ5hRWanLYCXyQRXluu4TI3YWGO5naCZ0M5LtrnxhhAeXFhKwCPrRVGgXspFsUL+sqQLShPjk5pI0V+48A9EUcaSpeU//HJ0/uNgLB3YzwnlmauHZVmRzsdWkSeXmnOnNC4C1I3CaOUtz+7kiKMh9Ukp/4P9cj1AbgzqyKiGLIE9vT2K7E4cvMET06IjCuzAQHeHO4OXjlECFRMtGnFr1uMGu6upH7lGW9F2MzN2lWCCDB0vXDirPoFSCF+Nj7NUF3Hr5nyhQUPyDrrCK7TjtAJzEq2edvL5gkz4UWToF7w7f/6ceMQTBvA13fDb7OrvEzw60WBzU8oSNE3YtreRz/CaeW5+bkGxmSiXC75g8sqz2dzv9fEl+OfIkhxEhoAAlgDDYDDWv/337wpmwN/x7d+KiC5RQBrRg6ZPprYRt8aCBvyDXNTL1bks4Wfy19anhI1yDetnLj/LK1xeQKjTZn6+G8b6W0nc/qFjo5j99Ht+Nohb9C1/8xvbtGGw82GOdMIuKUH4MNUKz2YMDzuAWSpoDAwoBzAjcKJ5c0SIlgpKrS4XZrRZnMGXGabJaUdwGL7zQomxj4bb7+aN23Hy1IyOB/FyKWVZWGTbZvvU9MoSZT7UTCQFQn65dvVmXLiHjsdVKfx+Mj/lMyNhBiHaw0soD2sb7VkEuRAWzC4NB4rsYTi6+GkJceC5cuVyXLz3IouQ4keUoIkJjr+AVyiYctZjYhLTsvmhjhlV0kRIsfEMxu9QbM6dv2uHZMEl20SPCIyyBIfS6cEGaBrFYlaXgaCWMmCpKksb/ljJB4BMO2dEX8pAKcViyZE9CJZrV67FL3zgV2Pn8DC++LEvjQcfOCflYLJt4mZnGmZzysUXx/2CwXSMgHCqm23IXn6zf4H5kl2WUwTA04DJgOsgczk54sgOHMUdysNtD8yJs+ih8t1P4UuOCZFVR10nlwIydAIvsYR6SYH80BJLJoMSiknyO4MIipl5s6vwio85IdfWppV3lDU5baPQbxZhTTU4L2MJko+F/RyoG6sAlinApi4sAwxmeqHz2lDUcskKnNnOTzvi5wPuOK3XSzWmgTExrOzgOQwinEN7KQmUXmQZsNdlCFDVfWQZqRHa1ajwBNrA4T66uropXldtDazURKe2LFAbyhHa/lXIZ/gJRZOJkmCRoohCYqs7reYdgLaoOE3dR4C1vUTG8nqhErQCh+xz3KMM8JtX3pOGPxSYmgamo/ksaZc5zZv5pK9tvmjZYnPXBhmnLTwoIK0ctUkOO7Th7Sw5791nBHMDS1aX4vodWZ4t5TqHY9zl8q/Ldv/IEv2LRYzJg5WWTvwzXSdcfBcMBd56aZTU3jQBTCi94IbCeHeZneUlDGrHUuELvstQ4DbKcSVh4/cF6Y98zHhh5ilgMg60hfmS/MjfdggZhTMpEIldXDc86ct9xgFBk5/q8hKXu+Hi+aW8PoPClACBoJkaIA9arWhyCrt2Xh1KZWpFM7qIPivh3YmsG+CPglgyVTJKTSjqMeN3EvXuul6Y7wUpXI7ETeJ8NE0yBQrjz7zn/TG/sBDf+A1/FeQkd92YPJpOWSd0s+BweYbd1h7unQ888uJdJzP7m6rR0iEWGgSX87qDmd5OU0BqM7LLgz4wt+vPurBI1PgalhxoyEc6C8lOOH1Px9FnFeZyvbRgMUs5nrWSAGWpTBREa5dRw2EFBTcAZhDNaFQIBu8wUf5OSahO7W3Mpi0DBYMVtAfHFNQp0EwrtaHcbonY3uOzB4/gr9xHBFInDTwgZSe3zkH2DjKU+nNgcdtpDBLypnX2JedUFrUpAvK3Pvzx+MQnPxrbza7403/uz8b956e1fMkgBl2tsCGs8OWgDbL9kgfMW6ZLtqXx0r8aiCASDELeFFYMnS1ZJIxnbp1OPoOPzUMux3m5T76qB8PSBhwIrTqAHCnNwNStIKHJG+onwq1bPOIV9pqiNd8BL7Wxw9LtKziROZr0U1fyG7ikkguc8IH7pfsIbQjetbAHDtfK5CMHg3owy/4sZULxpWgPIi0XoASeS3BfSIXJ/Qja1HxZ004IOVuBBwRZtjKfJW1dphNmWcAJllpPJX3SUTIRiyKEcftRj313so/a8uP3BQcBY4VJEKrPkQ55lP0ZmsAbzpO4KiuUK5bKzu+d97KYaQKSbQWveEmt3dZterjt/Og2d5rC97J8kIYdoMTrq3nR8FAud6Thqnm9XVfhAwZ7K+HmDbczMqvHhSo3O4S7hSOldU6Ckg7ZJ7P8/M26BUWhnUACursm/cCB4zZ9WG2sNqQNEo+jeTrp6/Kz35Pe1Ms6+M6904k4us93+b7zuX4HKcz3wpNeXeRJ3ZfMtypUPHd3H0qY2qBl0tJOhol6LMMMfyZKPO6GL7+/mL9HMS3I1m0rtVQE62l0RX93FctLd+KDv/iB+Nc//GPx4z/yE/Hbv/nrWjOtGbRunN8fEQgDg9eNSKPw7PbNwZCSkqjcG67O8o+U0VGecn6GZ7/KwGWdJd19XwsZrDiqW5mJSeKtvTA19ePL4k4CR9mxL+snDZ0NE3YnrD5dOvE3M8pfR8oPuZuxs8VMw8IG+mDetmZvxRFaGTY7KwIDlgZms67fNIUhX9gBSVF3yk5S4XCXdEcocjELd3oPpNoiLFhdB9/BT38aWLzubzhUhKwtlJF1sZTE4cHeJm5aZrwn+IOLE7bR3+k0GTgOS5Xhcx7W/hM2dy6sW4QAAEBbAji8Mi/zmGH1O1KCB0LCtLOVKenj746/k3xuR3inp/1swbHS4HKgu+OcZDtHcLjlnfmFeN/7Pxifvno17n/4VfGmL3l93H8OZYl0VWyubwksr9ByVpvP26oFh+NgUXcKL50Er1wQC9qxPOpt6Ulw+b1AKXUjrDF7pk/bEd1wu57EPXGBt6kg6cZ3dv2ZV1gWzTZgCVlKEkpT1S3LWyddueeoIPFkw7GMNgrObg8OQuXAW7cv72gP/D2gac5usR7RXFbaPYBjuVLdCukAvdNfg3wsxVAfvhJWlpiEZDwe9xMfTSE42oOWFY+Mh4TPWCFGm+cNN8oPfdRxf/RObRE6gFd4FMmb8ZKIr5Z0w6KcchG88IfhG/QSrSpCjWSsGvM1wQilzBVYaY+ktcqtumQFqd+ZTobXygg+PY6t6HqaPBPvqdRN2tItlI2y0uLEffJlvstn+kQ6T7iMgkeR6XpHLRqI+daMrQ3o58swm8dEcfpnk/ZxXyUVbQYfSwEq/Qf6J19mWViDjY/fgLN5hcpRQPGZyjRWwFkWApecPOCHCB2AS7Dhy6kDqNUxRBPL6Gyz+n3BSPksf1wO8gIR6zKt8NKXkyepn28ph63qO9SCYJClJ+MYJbb+ZczpvLB2+zL8xAZj5YOLsqjTMe54pl26HMupQ1nC1ypxZNkbeBx7jv5Ff69ieXlVPlmSMyUsRMdQo/oIkZMX9ehMwY5EyLwaFvepTP9S/HYoTKDsZvDsAnBSOIqT4/ve+c/jLW/7C/F3v+cH48MffzY+8Fsfi2//znfG69/4lfHvfuqn/xvgT0GDsK0VEjV86fBmAjMOBbc7qrgMeMibilV2Ng/a2VENvgeNTuD4ngzY+f7u+3Y57Doh8JuEUKZisPKA5jcc2Mug5lgaUJI8dKS8LOT9VJfNM53B7+XQ2AQvWxewuMzdXhYDuj1KHWUGQi6UJfypUsiSbvb27RIvC9oQC4ngffuS76Zt5fPbcrYshneQN76TB78rBxa0qZ13HBgpiEtvp5OglFjD7ZaPRgba9ADWiOWlZfOSUaxx4S1tUQ749WcTAtr5MotuER/GY7PSg3PySEmoU9+FoAbzppbjHCuEmT4xTNYDny9fSLwSOFAC1gMp+HAJLhSKBr45KWB47tJ2f9K4zexIbuCAqanlNjq+hQ1ti0Mvwonl7Vasb27EBz/44fjp9/98TE6fiS/4/JfFsbGuONxfjN95/Ldje8t8ZSUYi0JTilytAEOjlmbYXmoxYUi3KyUXfJkl+70CbaqdPWMnEB90Sp5zsE7j7z4FzO43orFCaPDMwGGrIXwObfJC2FtZrsvZ36M/Wrkn3/4+ljDDXtdDGbSFFS1iXrldaQT3IdORfP4zXWx1NQgsJxpX0qyt7BeHdpRGlr235EMlWIvccN+ll3pgxl8ky3e66OAnY4mzOBc+QrQ3zs45ccm8hwr8yHen0ZxFKBp2ztwDn6Q9fYy8mr2X4JYoc1IyhFyKG2GWAAAgAElEQVQrGFQ0UBYrNNYedn+Z5+DJ8LOaw/WwaYNL5ZS4P8gAriNtK5ry1go2Z3e5XLc/m0n8bNxRLmgftxEDuN+TJtuN8p0G3nU5hkUAyrkduDovaGmakKY7dnfoP1m2LcuyrCMEsDJ1ZXBVSvE4ID8oWelcj3e+wvNOA1zwDvQSH2tiSUwqYHFdyCKWQLkSxoRDv+JJ2ozvHkdI16mYYSRSXikbSqp/OmmFPyGBXrNs6OfJs9PzHmXBSonbzLzOvWyMoi3O/p3tk4oPpWTZVrIKfgXm+js7Kol9ZvnEe3wOfYBvwsLhwmz2qMcpxf4Tc0P7bpEPOWmaeXIP7GkgoPb9A/oLd4YFuOV/V2gJvAQ9dduYvlj3PHEHFvcpQ/XS/IuUal+wWQpBGscdi7dV/PKv/2b83C99KL71W78t/txX/kmd2o1eycnr//QHfyT+6Q/+cLz+Da+P8zq808I4y2pX8PvcdKavzcFkMgx5d7QYdw59E0f5WY2rhoGpj+bIp8768t3dv5pNIk4Qcu1tuBSIBQmhlIU35M/geDDJEg05PgsW9dpMe3ctMBCdtCGmwhmYe4nRVisODrG+uCZSHhwwk6LTmDFhdseUoXwPaHKeLAM+32E6HFobbD2UI+ehfEzMu8YHhlVnvGs2Q5nqfIqtYxz0DNQtlIR0inQIfRzPp6Y47NEXp5onRcCCQSLrIUXeZ5mkzZlUltGWnWWwYWeJOxtIlhlydVDoAh+z3MMxIHUno3y3D53cyoMFqO+pK6MUU5/4o2Nwc5uwm0MnnbZxygHIsLqhdg/3A8+iLlnFbGUjEvxHHv9IbG9tx+DoTHzVl79VscP+xY/+y9i4s6mVAJxJH7r//njnP3mHtjJXFT5aHMZiJTb5hHfwAs7G8AKDuHwyeC9rBV8b2j0nPzQ9wjM4cNbHmgAzu1AsjJwHOjFoeMuwGsgzRTkfGUvanb/sWww0dkR23ycV/WNktI7b09PdK+HMTqF6EKPO+mIDifnB5M3lV3O/eQ+frwifSk/bV5qaZxmN6O1vBtHL+1v4IxH8j36CA7J5BVgB3PXQ73pjIHfZpawhAGmv+5frhiEMa8pFj/m0C32AQYNlomY0crs5cZxIpGzuY33C3e2Akod/iuVDWVuKiMkpzuizokm7OA3fPZhUVU80FB+qxtnRzuu+xCGmXNCZsuB3Dgz3O8rhzgOg5aAderUkVODFogJupEX+QUvHgyp0KMEtVWjps+RXGUI6J9wit+gNzdmOz6/rB087sZu34Z+uchCt07h8rOdZDjyPwoTiYkWbiQhxsdr9ltIV1LQTT/BOnK1Ikcd87A0PTFQdwgG4vASeMY7UR0o9yAlbnMyT7PQ0n4ANE0zqBRe3O/VaFqFMOpivffecHlmVzvOJL47dbOCA/s5jJdH0pb97Byt4uh5wTiUuaWyeMK3dbrUCYthxumbzQcKPszs7eTsvNoS4zfwWn00UpN5e76rmGz5cYJMXh4Zj/U347CTOdxFHY146/ZMf2aSNJqKZ4cbXM2PjmU+z9Jfm93P4MCWhDdjff8c/lcD4jr/9LRrKSzPL14LG+qa3f0t8xVvfGl/1VV+uDH9U5KwQuEH/uEiTDPDZYFXTW7LHu9/zvrh5Yzbe/k3fUJgiYeOXjghDeWYC41Hm3eXnM/h0fu/Er/N9dhT/5ho+qZMpqTvvC7/rMWFLeKjPAsJ1WWlST2xbmNzedMZOON0OFJpMnvUbb7/ne9aZuFkBrHHzgJ8CrbOOOk2Wze9RGtZpEt/Evf49Sjvoj9Dje8KWcGYZ/GLhBPesIdPk892/+T3xyYzA21kO+Zz21s2F+NSnnor5pcU4d/Z8PPrIvXF8Zjo+/OHfjP/j7313HHKwbaM3DppVNLtacbC3H699zefFD/3gP9Ggbdjqetr8JoFsQSMcRYoaPuPdmc/wAWcnrdyXsZzwHTxS6Sl0k0Jat78HYHwXyZC5E19+k975LtsyYz0J0BoGBGSpU7BJGUy4gTXhoTzgSByxwqI4HuU144amStJsF+cxyPSlGh+XZ1idN3Fw/6n7juHmqy4VaTidxvf+eFfadj/lfV7wkJfUpGiVXWs1fobZqX1Pv7HPJMqPJ0f+cTlZMr9Om/WRP+EzDaGbrcCdtFDOdv8jj+VaJ91LLSrO534ywallR9aVdXsS0a5eyr/lpemmWYWniK2SthMRNaTbuN22soilMpqwAXaRkx08mHn8mzQwbOKHdudPeEnDPX/mgcJMhYb5jV8kZNIx0+f35EvwA1be0y5W3CgzlVnRBmB8cwR7PyTcHbiyIUt+T5k8679r1SY/g1Gpw3K4lgdtEpT6TRfSO435IPN3FFjKrOV50q4zTcLOuxrGzhR5n22Uv/keKnPBr8Yhv7y4v3f3lCO1A5j+MBeurcTp0ye8zCPYAb0rWizdcLTFzPFY39wS0wuhThodKfUP9uCO/AdL+0dJZRb+zCXwLRsHEyRbk93gdS7xnxgfhDsb04LGDMe9B9jOmrLs9rtSrMskdD8dqzAKL9vf3WzKr/edxPYgdsA6u+BnWmZLkOur09KHO8tPePIXuMygRYlqsCvujoS8YXbHJH1nnrrztDFTSdkpkxad+fLeuB8tj2+Zh46LkD16gVNZopOvSOJIOU5rmFyu68gSMq1pYXog6KiHNGlZcDpwuH17vszc3a5QiffUkTiSk7qfeebZeN/P/0LcXrgTb3vbV8Wb3/S6OHXymMJQfOzx34uuHuJiNWNgcDjYWjzU3xvTE8Px3DNPx/Wr12XZiQaWTOpPvisOuCgDzIIFGk6jXsrJugW//NvgI7IbJ+5Nj8RRrVxmqV42BPZ2m4ivk152fLVPEEuF1JkDgHGueUqQFNg7lSWna+MEa1NfNmuiqSrpB3x3/Z2/wkPtBAFQjk2iHOClTLG0sbGtJVHw0ZXKUocDsWmbkwXokjxoq4yfyZ0DqP1HauWV9+YbW6KAyUtTYqGCHOXUtC/8An46pgU8G7G2xtJ4QUZ+OLlMnEvjLFl5Kc9WLWIJiQnaPMsuQVsiCl204xArgtsVnmkdUonxE10ahDmo25J3h4fwBg1D+YUm2cfI3tE3jVfCnX2tNKomky4bizd+L5QpZYMytCTksxspYX4+jxainCyTX9MIWA72ckJkPtYysfADR8NLeBP3TfdRYoG5rckDHKFYWIkj9N9Yh94pA4A/+0LCgTUKyxtpGnIKX11xWIxMa0j5l3ocI0x4NKxY+rxA00N0Y1lVR8BkJ4hYXl6xXC1WbvqIl+0gCC+7Y3XFR6W4HvKAny+3R+e5nO73N27MSq5LbnDO6GEjmNSBO/jw/qknn1Uh0Id3imvV7hMun1ApXNRDXsLDdF68s+8mbUjfctth/Xdd2ZblV75gtS8VaXyUjSdzxlHM0FnNi3p/ZEnu7pqTEDD1fffdF09+6gmbv7E3itq2Uq/eWYwnfveT8RVv/rL2DNVlvbTI3Y3P3c+/H3RmOOeik3PGE+9wyuYPPwGCCtJR2bKMcy0+EQS3g1HY/k2MnsljE1rLZas5cYUIRYCZnW3Xa6vrinniWCnEtOoVc545e0IB9vAb2VjbCwJVavmlss8Spkz8DbSEoUMxD2J4hG3UjIaNWN/YjMk+AmiyPk1zNaO7B7M1cWcQnCVw5Ynj2uZPDA1i3GCeZVymMxAYTYP40KB8lyYmJhWHCRrgt8TyFmXRz4iDhDMh3zil+oEHHhANWA66fv2GYnVQcPoDsSxHyP4rV67EvffeG88//3ycOXNWGwigEx2U5SniypAWvxs65D0X74nDg51g+XxrcztGR4dE+9XVDfnQEKIBuDkSZWjIsaaOTU1oiY8OyPr81PSEHBTtPxIKSkgcLDuTN9Q+ips0PCyTMstdbIenrViOc1A9ogZbGDMgE8KBC4GGT8Ds7YW4Pb8Qn3riyXjsC78oTp88GRNjg6p3eIRYSJWC0hFAdWwi480Q/ayFChKN3q64cv1a3PfARQUjJQAq5m34YGhwTEu3xJeC1jMzx1UnzzgMYz5vNIibU8Vhs4r5ufm4976zinnE8TIMGtMzE7G3xxILvm2HMTwCP8lcpDaHNzl+AwdYeBV+YWv7zq5jejUPvfzBUhT58VUgnk1/PwfbwhPwxk5MHiM4IfGtunU49eTkqIIZwrssY7BMOT1zTA67LBndvDkX91w8o4F0f/cwdvf2Y3hoOBq9bLI40FLN0uJGjE0Mxt5eKwb6emN+njLG5T+HkoC1gyXFkVGOSOG4lUasLy4reCd+VPAovmpEJT483JPSyfIOYQIGBnHa74mhYZyMDxUskLAFRM1n48HMcY4u2lff5HBellHwW9rd21VfPCAA4FC/2opz/bq6iYPF2WGHgomI0OMTg8G5Zpx3t0awv7GxGBrq0ZmFhELYWN+L8fGR2NzYUXwugtESBoegktCbqNPw4MAgMmdLA+3C/HpcvPdMtFr7UsDxyWKJdmiYuGIcv9SvZfnhIF6V4xURGkIx4LY2dVDqwSEwNmNsfFDtTjBKzrY8fvyY2hLZgBM+so4YXjjjEhJhb283JifHRZ/hEfof7TQo37FeBX8laC/Ljz2K54cVE1nGsRnAwFACv02Mc/bYnpbEyIdPHMte+FFyJuT6xrr6Jv6BOpam6tJyax4mTSyy/r5uLTETaJelNJbcR8e8aYQgmqSdPHaoyNzwNJMV8KJ9dnahCz6i2+IdAhGPT4zJp/DYlIOe8m2gf1CyCTyQg9ADuTB5bFgHcUM3+btpImHn9L3dPfE9ceLS9xWZS3sTRoYwIPDswAD+Qts+H7Hlg9bR/ZAX8KB8ExvEedvUEU04sTebw8V/EOWNYMYcFdSj9kDe84zP2+LSss/WbFUKIMzmFStE7AL0EjsBKjnLdHBoWOMb4xzLbwTd5FpeWg3iOLG8hlIO/zOJJjYT/MBRWisryzE8NKINHSjgvb177TQ8Qy8mnT3dPYKDgMXQABhxLSHOG8oj9TIxA8bJyTGNM/TdVLYE0Iv8T63OokdalW+DwDMAcv3pt/2p+OjHPhVf91e/IT74gQ/F5ctX45mnno5/+xM/FV/7tV+nwGCvfe1r6tnAXWW1C32JbhIPfsFIz8D4OeAEf/7jkt9NiyjOh5oNEW8Cv2Q7GtpHhfgpHihgRMcSIUKr6KjotT5IkAGIHXX44cBwRBGWj1EXzHLoQKCq80BCnANwHR/Ga98oYTDW0DAwMFNzyHzKhYnxjdjDka9Zds1pLb9LsxHwkUVDh7/uys8ExmRWnoE4UQzs29MdS4srEognTpyUfw/CC4UEnGDk1ZVVOb8SgwNWYW2fNWcH3cRxkVmIZ3tEkUX5QPkkaBqHZd578R4pbHQ41s6J9szgi3M25+qlZY93Dz38oOiAsEaYssZPxGqCgDLYIuxZRydo49mzjkYO3Yh/RPshdObmbrfbU9Gb173TjmB45KfdiApMFFoilCPUmLXZMbIVp0+elgF+fnEx+nqJrH4QK6ursbCwrB0e165cj5/7hQ/Er374N6K7tzf+/J/7M/GqVzwQvT1NBRyFzrdn74hWE2PjMTzI7tOeGMC6NDggJa+7y076RF9utByMrtk6UNRmFMKeXvx2iPZ9GAP9Q4FrCnDv7O2JHyRYu9jFQtC9XgXI1IyZBlJ3hqdZyvMBvUSNpj+goNI7ULTkJiT/pl4pSigJ0KC3uydaTZS3TSkdOJ1zoDoD29oK/N+QjwoKAdHIs98xE6ZtOK4DXHgPH9Dm2QUdUI+B/SD2dvBRIz4UZyXC4XZg2d5CeemJXnzTqkPRnAEexYm0BFzc2iSwYI8Ux2ZrX+VRD+iz7AiP0dY93Q2dr8aONtoFZRRlHT8d/GiIZEwe6In/CfcoOfAUafb2S8DL9EXq8uDI1v6x8SEN/Cg2mnj0oPzn/JQYSsAKb44JbloDBbLVpIda5g70DyhwJ/0M+sKLwEj0a/sooXQMKY4bwTuJKs0AOTziScTQsP1QiKANvPjDcMk3pr9ffIM/EWVAU+gBL9EeKL/IAPiEukbFd1hKPCYAD8oW3x2LLjQxBMc8O5OAjUzsOMMOhYAJJNHv8SlLiw7f+ZOcJXjkcJ/qg8fwowEfBksmojgAU+/ExKhgtiUR+Ok3A1JuevtN48nJiUDJOTblgZZJE3xCQEtoPzI6GKPjwyqfYKD4LRE1fGQEpb9f1rkTJ5BJ8JEDMRIVnPhxyCT7UzVifJygqQQcxdpaxfjEiHgP3kURIygoY8XY+JjifsE7RBGHH+V/V0G/EQXXbXThN9gd42NjRSl1oFb4ArrQVsgG2AM44MnRsVHRBOUT+ElrWnfFsalJndKAsklQ1BMnZqTMj0+Mis+ZyDN53NvfibExxwaEbiizoyO0U69oCp/u7dvyw6kJMzPTancO00UxI/agJlVa/m7E5OQx9RkUfvCH71IeQwtkxOnTJ4MgncBI+3P0Gac2YJ1lks0YAo3AT9a8LiaBtvTBwylXxNAv4j9HfJjurheg6DySs1XEs5euxrve/TPx8cf/ayzdWYvt/R0R4m1v+5p429u+MqaPTVi9SAl4d4Ev0XObuCiAbBHVIZzu+DTeZ7s68f+XP/FT2u31bW//xqJkNTUDzKiziPTFxWUFbaRT05mxCGh2XLZF06FQduzI53qxSIyNceCrhSTgoLBw1IjfdcXc3EKcPIkFwwOdylX0YeNA+6Bw0RmzHAdS80nvmIlNAzt25r3xtlmZdwg0r8c7PVYWGJzyoRNpHICxPi+IQ3N9QCewoXRtasbssq0o1QEl/dY4j9k8SeHRkPkZBcnw24zMzIMLmqC4TU0fO+KXhGJDMMukC8oZ8DoPZv7QjjYHyTQOKD8IBUiZwt+4mQ7K3G4LcPYbKRzK1KWZ28TESBH6hv3O4mI89+yV2N7cjrP3nIvXvvaV8j+SKToiNtc3NegkftD5J3/yPfGf3/tu0bWHXW1E6m3uyhI0PTkdP/QD/1hCX0qMrFcEvxzT8o3aBIvdxo5mw8KmwdZqlHAr6X5nczrWPNWtHVUEZAQv5ktNHeNBVGibzUHYbaKlJeFPOu94yo0G8ALpky4o7ihcoiX55TgeijZt+noXHTzq/mG6Mvt1kE2ePfGwc6i/M8N1QMB6uRMltY+gk/IJ8eG7bd5nOl51yQqENc3th2nfgU9rGng2qzLK0opxol73M5OBey/9mD6GK/EW1Fo6z7lnnd4peZ9MxLdSduFrw2d6u35vimAgcl/k2Ypjwg7fYrWD3r7YTchMPmGAVvR1+3eZz0MWjDx/jj5FfYan7t8qTzQETi5+O/tGeZ08Uh5pYy6X6T4rHk2HZGicS6FSyi0js37yoqh7Z5vbOss8Qr82bAk7sCXelEJb+dl8h/ACMNRQw6DlT/nNZdMkjkKh/EMZWZYnEdDUA6KTtMvXI/AYpvq9aVKX2gmrgCo+V1YETLvEq/OXEkr6jl9PbozbERqJvinz69o/851hEo+0+ZSUWX+dK9sj27j+4jvkbXtZHfWx+EP6ayctCh3EE1lPZxtatlBPTcuaRxOOu+t/MZ4/p8KUjZCdGtTMjK1YXz2I6OX05P7OVXCleCkR+lxEg8H2N3eif2jQsrYk/mzwusN7h8i//jf/Me7Mzcff/tb/xZ2mzbhQhb+a6WthBBOYasmAbQZI/hcMpPEL5/W6PTNwhEgKgKO4ZR7edt4fTVXX38Gw+G60laiOvLrteL67qPYzDN9Rnt4nQsBu5Srrdomd77MgvnB1lvX71Z/fj+Y13SiKAZO6LHTrsku+tsCthZfbvxbSKLt+l3gAYxEsOQDIUtmIJ594Kn7rvzwejZ6+eOTlj8ZjX/Cq6AUYTQShs3ex8dt5wYv4/H3Hd3x3PH/p2Rjq645W1RX7TZa3DuPvf/ffjS9+7DXtM5WsnFACA4CVgqSvytYAmG2QtKmFTPZb8oAbVovEG2BdBhYh6jgKq+tx2c7DwAg9GLD5zTwp6HgnLbut1NQwl+RHfhJe15twQaO6o9btZ1q6bfAj8SBLgU4j/GhD1eF/ZW2VflHKyfqPDOSkNT6U6b5Hev5QBhlAKQTIagXAvOZ6XCz842UOt1uWC8zQvYaBZxRIoap6sNI2tZSXVhUUJtIodAJZtdOUJXZTgmcrTHyyczGhCLCUVMLPsGFhxYrEoE/7YZVkkqQS233WGOS/VtbqwcwyKXnHClI6eydvkNeDamc/hK51OTROBxlKetONvNRDuVmm4S20EnDs/D0sVjvjh0XMu7lI4HdYg7TbsxwqjfsEFilfWOfrMwqtDAFnB1+Tr/ZAKfls0cWy5I0lhCLgkF/T0nVb2QL+owqG297nRzLBTZ7KovnuNLQXddQKq+N6MTlwP+UEgXVNojI3lmAmTIk/9TPxxdrHPW3uiXBOet1nser69AjXPXd7Pk6e8oSVsn2agS1td+OUz+ZtQ+K6WIHJJf2EkN8ax4Qzv7ISwAQqyyLWHisElJdX532+e7F+Ozj4M1UJkB7o+NqQkPAS0NhEb4wP92uPSkl1pICjTHLk04v2AAydf7RT38BALYN/H0gs2Ejkc6tYh/dFg7diYX659HrIyKGEa+24E1CLoI4skZlBnNNxMiwgeYOvUz0YEotjW1YD4EZIsq69sGAHyFJ5rK2yjITEobOxTMBp2TgqejDk3Z07nXnwxyixXPioNXEOBl1vdyxe+hDeFFIOFIc1i2/ZnrOzcx2CD5+kLcdhEiSOJXLz5k0/ickbwflAnVcdOC3fEp4Ch0HoKnket2976Sw7B2vevsyy+E45yJmVGzrY3NxcEZMWztDNTpIWAli6WIPvvAh2iTBO/FhLP2pJQCgR9ND1Mmu6fvNm3Flejne96z/HU09fjgcfeji+/uv/YnzpF74qmOTjj7GudjW/8C/n0llOeCAH9karFe/8vu+Or3zrV8TA4GSsb+/Go4+8Iv7ZP/tH8cVf+BotS7K0xTImF23I5SCHxOfBD23DxUqCElh2XUJR/FFiqizIgRY64QvBcSNeUlBZwRmDW1IBjKOXfR3fiRTkgz5gYYUKem2sO9SFAJLldE9nhvEtr/U1846eK3y+cnnWKWhblrF1FYE4P7fYbgsQ64xj5nIYrOBH8z54Jo+6IIS7lw/9TCwY+woCvxmk0nEqapBi9eAQXG9Tdy5wruuG/px871l7IbXjmon60Ma8y4BEJfAT+GmJ3GygNOtryIP2i7LshwJGfudZXKJfsnyIn1gVLENSlnn0UFYJYqpZySUPvnPQVlqz2slBHA0L5cpHhxhXRk//2hfPLyibQZNB2nB4Czt+WiWFfoiXhCKT77CYGy4mllU0+Wsfn0I7Zd/KPATi3BW5jLXTsASMkpll4aPDxbP+WvYpKxWLHumOkO/MF4xXpS707bIxwmUR1d5txQ9+fnu7lM878jC5sQ+en1kGrmJrwz6fAloye8e0h1Ttvplx4ygBwA1D4gPhUQZSnkEjVgXUeKVV2v1buyWJ87Wrpb6aXxxkVvwnmQyvW/4lbPgB5XfAgB+x4uZF/Z3PlI2fIrBx8V0hRRRWwLTnfR3Dy+8oA37hShzn5lJG+93mhs8RTXbPOowP40yXQ9uI7+FVeJ3Azr6nXMY2O7/zNXFVtS/JPzUXq9EgWmeXqhnWDEQcH7qpt1FCXHdaz6I7MUjG6Hz3Yt/TDxIbwQq8PakQmDk+N5xFsNG5mMW5V1swFebKJQqE8fVrN6Ovz3EzELgMtF5+gwG48GtC+NHwFo4sFdQXfgEjUrSoEYYhhhGHtepSxybYFwzMUSKs19sxe2eXQIKlJAW9dByiFB6spzOb9ODnWCljoywFmg7U5+W3pBi7izgLj/ORmNmZbhlU0UyPYnbnrnPi1rVMC13dcVkKsKCg8/KepTTTPYVbo737zvA24tKlS8LNsWcasUJUbymIwIdz5ID8wNo4azdRCX5H3dGMEyeOy8k+23h0ZEQHTXbO8FkjTxpRLvS3ACiDXkQMj40aXfF7FU899Wz8/Id+LboH++Mtb/2y+LxXvQL7g8Qt2jiCnHV4C0540B3fxMZJxMuu/QMcytkb3/RNfyP+zU/9WPzAD/5g/IPv+6541csfko/EysqiLUxlhL6zsGhlDq5udMnvhOVbC38Gc2aQ9qMpnCAfA/hQgxPOtt32IbMFxdN8HG0tzBCGPoAW64Uv6F06kkwC8K0da2lPWVo4W27fjr3QEHrSL7xDhvzmHSIKm7aUYT7L6OySJNpVs8PwXnbf1buCgD95BkfkGjYC4u1roBOcWABbDIRWDuQky3LmJjuOEG/8Yx+/LANYUBTwH+Jb8oeiptcM5sFXvAX9UQSskACbtrMrOOeBBkvh2cDPjMEW2F2bdoe1rUw+DBi8kudI2yzBLJ3DmwvStwnaait6Sm5FsC+GJcHuXGmFcLiCLjlXo3xbIhrunDmarrY6W2k0sMDEwJibIUSXhJX2azigoW7MJdGtjRX2UUuaeLB1e1MXvKE6JaeckWVW6GlY4FOWqDvyEHz3sB74qZMNHHm5WTsm99TT1Yj+Ph9Eq4GgwQGv+A6Rzzju7m7pcF3BJZRsoTMc1N+I/UPkigYBPee5fLaaphWZMqErSlbE3j4bHxJ+K27ycyoKIPCw7Krxw4wZrUMrbeDEKyLJ25cUvAwxkfRdLrQKOVcnHwJzf/+gxwbwl+9qIybGWY6n5T0OcRCx8FW9TMQO5NPEI/0fxQ33B/JnOllBwa6MA0ws8Vvyd/erdt8ufejy5RvyxRLtI2Jpaan0BeMDTCiN5mnLiN09xrF6jJ48xkYjB0ulLtchdF6Sf7LblcpLr+4ABSC5GkVoMwEpOnQH8DSEmaMj60t+m9gkDgCUBE/i5/NnBtY4kYbdYjmzghQsaTEwwqw8MwCdO3dBpksPTl0xNDii3XQZXI068Meg85GecmU2V4GeibHDQA50pYejYftgUbi1RH1ueVCToM5DTorPx1MAACAASURBVPuHSrn0265Y39jQ+V3UQfFsY8XyQb0IsoOqpWjgYOI0VXsLZ9ICB1oUOs/AfHyVFWfo4nJx3u7cyoo/06VLlzVwZzmYxakj6Tc+xkniNW25x18p4eD3/vsf8IxT8LViZAgFJE3ePiZkcmKi0JGaCPCHqb20etUVKBj4K5WqYml5OWaOT6qe5Am2raJcmc05/BUF1vhRKneb2nHTipvXZuNn3/er8amnPh3nzlyIr3zLl8XkxBCiu6TsiuhqekedLD+1kO2S5zKwmW6T7L4hAKaEy350RyvuPTsTvbLimk/HRoGdwcW0wlkT2gjWypaU0TEfVMt7BHijCydVTPLOw5LK6Ci+hY7Tw3MesstASDacWlGQVISWHK1AqAzN+h1Q1XwADsyObfWw824r+rWriajJWEXg0yomxqcK7d1HBgfgUXOFy6piYmKq0MRhISbGZ9SC7iN8hwZM0KAbcoZdjgRFtfAHbxy1E19KP2zuyPmbdjW97IhKzJq82E1l/EwDJhI4TXMlv7NaZUuW60KYi87AwWSlbcngmdGm5Bc/+ZnNA5SXEY1xWGbgSksU/loJYwTKVWgHktNYweHw6K5uE460nInovsQgLYEsOaKWYTZFDS0rDw38Eit2WOEwbYdo0zH92MCR9mGJz07VpoGXv1jewdna7wi+WPqg8MVBF5/BWv5Tl9MUehRfKhVASpYBsxtXLFsafpzO6cPmjxJstNBTtFIAUtKYD1RPr+lNX2Z8OjywosY38CHK/742xdBUrkfWusqWO+oeGGTHotNDc/qa/byA2HgNDfpQXbcv/Rv/MvMW/Zd+5MDBDKeE5WD3pHeRGl76JbLe8gnlAwdubzY3XJLLXcihlMcoVChAKHweG3AkHxjMct2uW9v1KgF47+xsamkNOuYfm1J0FXqy2cY0Mk8NDPaWY4tIVQW7/Obn2ZgCfc1jLDnmBTzIeY8n0E4KQtkEYOMJeV/1qke1MSTznTh+vNxCO/McO0SBxXiH+MkKumFjV/Xx4ywN1v0ry3spfu/yYRLmnxEOxQQS2C8MkGbNtM6bg9FnLOhFfpmN8Yeplrxc/Psv/tVPxdLifPzv/9vbXVTb94FOlRqzlSAncF5Lf3dsv3eBzH5gmqOXRJ4UA88GEMR52CedsZTJD0kZSPUqy/cskc5sxaakM0eXqkhbDi3NbCSDH1WW8XEFtj550CB7wmA46BQsF1lx4x1/nh0k7TrxS2Fw92+dhvw1UDVMpIDGdLL6uwQagxa6AoJGAXtcBoIPfIAt/bWSL11/4knZlEsZiZ/rQ0DSDlev3YiPf+JTsmScv3A+7r94MU7M4Die6d3+KkNUQPD5wE7XCczUR3pfEs4dzwYg8Qd2yuSZvxykIEO+o6xOHMo3PrfL1QOUM5vwidm1liloN57LYC/6WlgnhP5N3oa+9ZKWZoUoipVDDjiteUg4izdTYaQhst2SDsYj26fuJ545g4P5UbMTAFXhqfgljG5LnoxrJ//4XdbbhtBlkb7df5KWdXtm6qzH/AEM0KBuR74bBuOT9Vvu1KUknHVaviUtuCc/sPpXSny2exu3ujwnq3FzufR73tXvqYO2QlF2lG6+eqlJtSbZhEfKgIQnP8JBQNbBC5Jdrif7qWFInMhb56fEo7h3PpPO/K42V7skjRlM4YUcsP2+Lst5qcttxHPmNb3aacWOyeOZL3EVhAXG0q8YyOU4D58zCeG96cfB86aKaYIPWXcPFEptkJROb9xybDAlVVApraZTws6v4cPymwporg5kXj9TH2nLdVfx4M7VKY/b9Cg0Q4Hz97o96zx+59JpA1vIVU2p1uW1tMw9PDpocOhe+OZ1tItlWo57neW69Bf8W9oLKxuW8bwSp3x+MX9rKFSrEUwAksj8/vqvfDg++jufsDaYCcqvBRsPZfZ71/eX8vH/K+JWzVZ0d6V2D0aO8eHOABPgv4P/S40tGji8XMNQztZh4NdgYytBncPl7u3jq0JBNA+xWghOlgIDc699WbxObq71FmAP8OQlvo0vdzzDwH0rKqwGbTjLu3YjeoZAXspEqbMiYUHAsqPhsmLkZRdSu570T6K+5B/7AGWnrYOR5XfS2lzbBipmZ2+381P66uqKlJ8aJ0y8Kx4epERE6Lw5JaDuLsXFWlt1m2QbrGItKopqvnMb1jiAH75Pv/fJT8bPvPu98fhHn4iHH340/vyf+VPxpY99vhXOjobOtXyXgC+IFTtbAcCJ8Aq5ZAqdQrFxeG+MoTE73rA4ceFoCk1WrDBTArGv1plNZntQThVLi3lOH4M5cG9pCZRvlA4dHAQQ4W0FfJtzu4olCaGvw3cFCWngM7dlAUY/ollbUSBEBcfDwJ/Aw3Ex+ObA60WkVDh8ophTnLEkbpb4ut3M+FOlT4/5ZXkZXs/BBR+/LcXTscpn3mSp2Bc4U0bSzQWzVIMfk/sQsO2U8BaCUPjZjwaJbHihb1p9VLZ8PXIJy4O5YTfOIMYyElfysR7KP8lbxBkin/tRlL4MUaB1+l9xm4NrFSvLBACuB16WTI2L4aDsra2EjbPADhQvSVaKwlGdvETdLLMsL5lOtD0TYMuVAn/D5/wROsIXMPsMROoux9DJ0ZrvfOMitEWNP0qL/6zYkyYbm/dplZHqpWVXM4hljfie9oCPdQAxNZT8mhBZloK/carbmHQcUoxiqFzsON07UNBS0hLbB15cXtrwxAqcmuwQ5YBe4AIn02JjzZY+L4kdBMdY0i/MI1XsY8kqzcVyI8u5+FzRlzgzknJ9MckwDYAL1wT3L2hNCBP1UIViAbyNDfqCC+bb6grL7fCbaUD7+hzI4sfXYsfuepJQ8BMLMOv3CgiH4PosUuiGpej6tVvF19Y7iZcXtyIPJQcf6HZngXPskifxO7O7A2MaoWOIY4YyBx7QDf4ilAwPwM4yGmdU4pjPOMKyH2mSV1jq5S9hxbLPd1wMuHRIchWKx2ef3ULRDrnrNy/uv7bRfpY6zZi2H/zkf3hXPPTgQ/H5X/DajoGrzBJKk8KYFrUIsnY7f5bS////2m0DLj5DidkGDDA3O68dETiBnrswE7dvLcbk1FhsbrAkQZTerthY2wqCuO1sb2hr+OKdtSAuyuKdjZg53q3t5xDp4AAT6KEGF3wmxkZH486d1Th3YSrmbi/G2NhErC7vRauJAGUpxJ18aIR4TQTRPIixsWEd0AssK8v4HQ1p0GbWg5Mmv8Qr2t8jQGF3LMxtxMTEQNy6dTuOn5iRc2EOFoQz2NraCJw9iT6Nj8n0zJgCVJIGnHGQXZifi+4egmDuxeDGThCMEeVkZHQknn/uSpw+c1LBLonZsbCwJN+gudsLKmdqZlxO3nQeHIFZ1sNhHpM1Dn44LtLhFvuW5SDa29OrYG84fp85fVpBz1jqwHTLcsHK6orifRC4bnzccZHgRZZEV9dWtXyxvLgcE5MTcoafmByLK5evK84TATIJlMhp70tLq9HfOxhPPvVMPPvc5ejrH47z58/EAw+cj3NnZ7Q8SYyU7ujVYIm4QxlkwCIYG4EdUQr2D5oxOjKkMAI4ng8RYHBzM3oJJreyJmd+fEyWVjZieLAvlu4sx+mzZxwAdXQkbt+aU9wWHMOJT7W8tBl7ezuKb9NsbkR3V6+Uc0JWcJbj6PhkzC+saElpc2M/pqYjDje64mDXSv7m1n5MTLYUJ4mYPEuLGzF4ZjDW1nZ0/uH62o78KTg8mphMxKgBr8nJ4Vhd3Y2REYIp7sbYRF9sb6Ig4TRt3xYCrjJQYQnd29mKyamRWF3e0RIFATLPXzwWO1uHsbS8Ev39LF/i3csZWMQdIqjijoKPLi2Sp4rNdfiZUAHwPD4cVex17yvAH3QYHOyJw0MsJk3l3d+N6OljyYmYYGtBsEgGH4271Z7gBDaWtBh2Njf3NOBtru/FmXODChXS0z0U+LhiQOOcu+2tw5iYHAh8ro5NjslJngCDi4urCk6IksYyzuLCVkzNDIkHUcB6ejijr6V+TntjyVlb242Tp8YVuoGgkmsruwp8CHwH+63Y2a6CqPwTx3piY+0ghkZ6NIADy+LCmpZ3DxXEj5Ak5fDscIwtzsC7PbssZXtlGbkyHQRwJVYUbTQw4HPbcL5Hfhzq7LVGzN5YURwf2nJ01Mv1hEfxALcbE33IgG0FWiR44+kzM5IHLOshx06eYhmVQRPn+mbs7jUVSw6lgXJQYJFJBM/Ucpd24zUkgxjE93YO5Zs5NNxjnBrd8rEan+iRIzHjzt6+D4VlQKUMYvIw6SBQLUr08PCIBlyWrNhIw2RWuwu7vMOKCQ8xyLiQx+trq+VAatMExcllbsbo2KAUHQWlHOiPtbXtGB0fcHDTsaFYWV6KoeEpKwKKddZUvCPiWVEPoU12d6wYs5Fmano8OGSZHW4s722v7cXqGnJ5JIaGuyXrkaUoUwRyZbKB4rG5ua/YSjh7M2GyvyvBhB3Ek91iTIimph1vjxhV8/NzMTE5Grs7O1LiUNCJxwQNmVjg3sHEDRpcv349jk1OS87iGmL3A0+YiPPEmI1yjjxD/nZ3j0gOYOFik83goOM34cZA8E6UJ5Zkr127FhcunIvFA/Mirga8J0gzwSknJscFC24tyBPcJJCTBMZdX19WzCVi4tF/UcTwtWU5lZ2EuITgf9vWRcry3UumPVSf42q1WlWr1axazWb1Hf/X91Z/73v+SdVqVnputQ6rqjqsSMPVLGnr4vy+fv7v766NW7NZ/ci//Inqe97xzqrVbFXNZrNqNqvq+rXZqmpVokGzdVCtrexW83OL+t6qmtX21l41e2veiJd0B/ukd35+9/ehY6Fzq1U988wz1fb2turh/dLSWrUwv1ToTN1VdenSFT27fVrV0uJqtbG+pXKpjPef+PgT5bmp55s3b1ZLiysV7cb3vf3d6qMf/SiJ22VdvXpT9Wa5+/vN6vnnLuu7ym22qt/+7ceNc7MlXtje3q+ee+6ScIQVtrd3q/e/7xddJmlazerTzzxrGpR/Kb8JX7XrFhgd9VRV87DwT/m5cvn6kTKuXb1Z7e4etN9RNzjSHnl9/OO/Wx0cUg88XFWffvo58WyzwEX9ly5da8O6cme1+oEf+Inqu9/xz6pf+dXfqg6BrzqsnnvueTi8pKuqp556RlVQJ/ywsLBQcDHtKffKlavl3aFgunVr1nCAe9MQPnf5aqFDVRkm85bgbdMm+xiZDEPiN3troTo48Hf4rdmqqlu3FlWm+mOzqu7Mb1Rzs6sFlma1trZZbW/tmkfFkwfVrRvwRc0HW1s71c62gfT7w2ptdbNdBvBduzpbaOA2PjioqvX1LcHoNmhVi/M7VbMJfC7rYL9VbW7sFvBpKPgfnArdms3qxtXl6vBwv5Rd2q4Nm2kJTIdNt73zkq7QqdWqFu+sd+DTrObm5i23WoeCB95bX6O/AIPx3t3da+cx/M1qb3evalKu+KVVLS6uGVY1YKvaWNtXHnDM9tvdoZykXVXtbJvWyIx8f3hIn0cG+B3FtaqDAk+zWljY0DeIYPrDH6WdC8zmhXxX6lMZhWZtXjG/rSyvVyvLG0fKOzwA90K3qlkdHpI2adKsTBNgA1bLKcsr4CJfVa2urJuGhY5qm0N4ETgKT6lMN3uNT343jhTfTt9qVrdvWeblu+R9aMg7aEgdppHfuYa6Hn+zQCAP9J67nX0VGXQgvnA64+fcxldtL3rzDE9SD3WKYZXUdNivrl2Z74C/rpPsKkJt6dKNk4txIcZdxVbmDeq6dOmSyiRNTQfuE9/8VQqnabefaW8eq+9JeevW7TYvumzDSB3CTR0AOFwvZRhll8P7ulxoY3w1fpQ2z7wqpPyTONR5C38UAvm9crZxvHL5WrWxsakSDF9niS/+/V0+TNbbmPmnRmcVvYrL12Z1wO5Xf9WXx2OveU1ME4W52YxeHAJxSKwiTp46qeigmBDJ/9/7pUUN+bFE/D8/+q9jdWUlvv3b3p4W0oIepjQudufYZ8O45/ukA+ZNzKtperO5kzD57MyyPwVp0+TPfabNsqgnywM6nGE717AzPVtFCZDZX9aRvYyT5tC6DMpKsyt5WZ9m2aYTBmMn/IqJ1IEqbb4+0s7yj7EjZ+6qqHFgpmeY5ZdVaOb6u7Tj7fiJ6WLqrvmn5kPTw8/F78YbUmQSrtO5LRJHlvIyuKVsDG3fIPZ6tqJLzveNeOKJJ+O/PP5xWU+//E+8KS5ePF/oD32yLXIZkhkujsb53vDaz8I09REWLB1ghucdf1z+TjsnR5QPJaYK8VGgf7lI3rFcmvSyaZ90SlBg7cgn3uFrQ0ciTE0RFPT/5e5NwG7Nivre2vub5/HMU5/TffoceqBbAkoTQFHACQUhYWzxqjFRr9wQHyNokISEaJLnuSheFBJFUUFUwBkQUSZDoO1mEJqep9Nn/uZ5/r59n9//v2q/+zvdjsml771v9/n23u+7Vq2qWrVq1VurVi0u+jnHd9Ytj5ry5vtqlh2SiiHJeqDDc6BsBrt2eMJ2bcuXx4DaaR6kyhJFylSF4+4+g4ccYTEfBLfzVtyEl+gVmipe8oA3e+S2eLXhiJ3CwtNxYHiWVloClO2tBY7OwsvlL+jKHGVqs8Bu8th061FhnduCAy1dkXgqFieX1ihT9AOjTjnWWutUsPEKd/firYJv8KXabu+G8q9hggNXwjRfs0x+sixsHli/V/jkkin18HzwyVX1D2XBhR1alHFwsnFDHnKMVDRUckY/Jg75SZwCS2S5wFFw0WO+s3yHnDjEA++I26AAz1I/ZL38TPjVZ0WD6xrnlFVohbcpM0VPKj7JsZGOJaVuK220bzySTkFXrqdsh08u6oFf0uPlRNq0jmT5PscEGqoKiTCdwDB9u9u0rF6pq+ET3dcqM7t5kPAoY5yq/qGdopWEdivNrue+oFx1WZ5ayxrfqsTub4/Fp5I1w0rNaJit5fn+RF4psbtwSKSaiDZq8YmPfSoeeOBMvPVtvxRvWeHcn4FYWF6Ozu161Hs7o761HW/9+f8znv2cZ1Qy9MTStoumf9AP9buNwfa2rujtIfs2ncllhQ6PzCcHg2obbxv3/ByXsndQJDPyExikEQAmYyLvWxgN049y0DngtVJOztNSBUJTh4uBxXlWvgxPLuAGierocgskx1t4Bx4Dh7VrzgbKZGoexCw14BKFXuC2GksOFvR6M0szVgqsZ68pUVoO9Ex65ok2JxBjl3TuZQdFy7Zi30cpGX/DKFuEmSa3NnQ+Vg5W6MPdj5s62yWeivPv/DtidYWjaUwLrbc1avGpT38m7nvgES1BPO2pT4vrTl+t4w6a/dyoBUsibAHW1WAXU+7Kaukz9V8qIH+6At89EaURAB+5tjagAX77Ios37aZOkCKXAuV5JXfQg0IkxgCdp7yHmkTStgI+uHk5fWwMHnCRa8iypgDVYuSQi6a7h4nDdTJ2gSVG3SEfiuQYmTbNwpFAWAyMZjoDEge2N2VZAatK5gcPkieuDz2VouYZiIWWdBVo23yYtOhx848x5Vn2d/ORluza2nLno9tjyTQ3DTRq27G1zq44tnXTr077AL1cniSJ7+goh+IaBwfgurzHqye7auIhnsPLH5ZfnjufWlIB//Sio11bbJVnx2vyxIYsu5Zsc4GPYyVdpkXXaJx7cgUmxlK+pMC6CtfkS605JlMOGTP5vXW88Z2L5yx9OqEhfGapvKFkkR6XLJuR1sQvbTkWs0V/uqcgyG3Y4K5itHyfJcjUJ9CcfDMMc8/33EfcBzeNSzVB7IxhJP6Uh4b8DVyWlkjlwXeNoS2ShKZc25hZXdmO3j42RVhPEoLQ2UW7xoPxUQUhU6atJNEsFEv3+3vaWQVF3QQfdCTHhqTO5AE5iHr7epvtsCzlHa/uD8YuR0Q1E282ajruivMak052VXOkCbRz0RZ1SMOSFzF96H2XQfaJUUtdRCJP4g83dYQOokC8G0uOLA0mXGCljNEG/9DRrTu8kUnuWedm6/S/cavuVPeIC+R4F/oHfhOiAa7sJv9/w1VJn7B5LCGJ5Mte9pL4i499ND75px+OT33yz+J3/+D34s8/9qfx4Y99OP74j34/PvTRD8Utz/hayRTM+//PBS2Y7ATpORgwB8Hli2zXtFKE8KnLBK45GBOhIF6CuABnCDZPFO+hgYeSsTB7IJr3BFH7cEb/JqD4/vseKL3jScUnxaeQkcBwQ7FGwIH3tE28hS/azYRn2d14wzjMlCA9njPomRRzUgZGKAgZpeQBYWjEIfHM7RDEuqD1brbNco+4G+IeTJPrTLYEoCMaxA35gkbzgcBEKw/z6cKFC6Vdew4uXiApGs/8nFgyBzxjVFkpnj/nZJcJmxgKDkxNuChLYrzI0fPZ/3F7vPNdvxn33nsmnvrUm+N7vvsV8fSvuzF2djiMNceBPQKs5+eFCXJR59FVCpQ8WTZNXAo+4iVo6oVGSVwJ9hobTl/ghIsJ2efygSv9R10MvsprVY/Z2Ux5QJltJTScmZ5VjAd84f307KOX9WmoKGYCgrM/UOzrOoBU5UVmTckuW5UYSle5ZkogLAYev00jnU8Q/kIxlmjJ3gsrbV4cLE+zsw7yxqCAbGKQiK/RDjC93TJJ4MVBrqGpTXE7TpBruCj3Spbc//ANKOZlwUVybNmYvDwbayvANQxi04jtsTHDFvR6LCtIHQaAK/EiPoevastHriQMPnWgaoGJiHCwNeXZRm7+keOq1CjeIejTM/Br1GLy8pyChLVTjXxQ6z4A1ZjbSLl8uTW4P0IxSDspb8D3BCbZKKKq4N/ETQlLTZexMY84JNr9ThB5I+bVP5ZJ+ph4MeIc4Sv/GGPE+vgyPJIcmlYwJmC6GhvZH9qCzkuB+phYHbtw9CmjxYfcitfSVyWZZXN8sCmiggud4EWizaYMKocP/E/x8HEx0AF+xtH56lzIBbc34aNxR28A0/mcCiNrJPSFT3kRZ2od6PGM3iQJsMs7Mi5icqLkypMcWzf7xcgv3ECjvnFzkLQDnvUGoz5lvvBlo3tyaqYkElVtGdfENxl/w6OPUv9RisOx+Z0X7WEUt14Y6UkL99nAAY3qD3KqrW1pwwzPKMfYxTAuqlegMGwwqnQpTU4jLpHIWZfbIwa3vR3j1FduEMq+4S6Go9s1P+fIt6fLvzk/0Tq83DXipcxX/6O8NtNwUWTR6qIsCNV2oq+nI3p7OvSeSJbSqYnp2LPXOVO8I8JMYtAkQ3Av/n/5SlroOr1tqLM8oXkJAsEswkiSOqzpviIgZM5dXy9vCCmwntwleTVv7bfHxwMYXpFl1dsxuecjEQi+trSan1j2XHLfMhnVMRhaPTcI/WpEY6QIOcqQ3CCdZemPYzhYTsk6husB7O9WoPZgaAD6tibK/Qd8rh0SQwAgeWJSjm10WdjB0bKQA9iGmN9YTYEHtz0wHjhuiMGYcsSINc0ocmDWZCTSivsIfhAw2qpwvEuGU9r1Rh+8jS3ERz76p9HT4UMjv+m53xR93T2xZ2/mhfKht8Y+aTBuORlAJwaFL+PKG5gZLYxkQJJ7qiecd4VhYB1WwWTy6JB3yfcEX8aU+cJfJTnUsk6W8TPzoK43Y+pVBh4HyHa1jDpkkI0CZWKRkcGSaRoThkf+HVpoeqrqNSXzszGB7NpAM7VofRKftjeXoIFizxMSwXP3ExOwn/mTt0TJapELjIaV1ZXo7SNPlDXQ5jY5u5zywEuBxhEjTB7WnHQwdMoSCIeQVrJTi55eDvj1ywW1oY8OSFnjHsad69g4dXCssPWY1tKTcSkrF1HpfhvSHvvwP8c38m1Z5Jn6prn7jcNZoYuAd/hF+3UFBus3Tcvr0dAZhHxP+SetVl1eSRtnaq+ZfNGcc24j+JychP5KLskDZq5Cr88apC+qC3x93EqOWXbM9fT4bZ97aQBY/tyWD9rNdj0e4X076SaUBgSJqHuKUELTRrS1TOCkqsCgtqerwpc8RpX8lfxPZRzlWEwvj735eZYedKTBZMMvhxXB4xyym/2O/sPLyIG3TQUWEQMD5Mpzf/CXHJr0l3M5OWEs3jDhoSX9nRgZwTOUcpB6qeIu8lbxsE3eG7Wg+dKywIYMuo8XBsZA/2Bf8XBS0ocgc8SJL/ojYniEJXz3OTe6u1g2FeSm/NjrXqqR56sfz1ZeNEii3aEydoG7HXv2VLnOGM/knmJoWwbwSCEbxdNehsPAQHqxjE9/vw+PTjlMb7r6Wnoi5abwMjhqzfQVirSM7pdG45t9n9h/tT93xTBJKMqbH0RKCQpzK6cvfunL8RvveW989jO3xez8Unz0zz8cf/h7fxh3fuGOeO2/fG2cPH1NU3H9zxKWyuIfDic743+epbxMvPPX3hOry8vxmh/6AQu1jpmo3OAehLxhYuTQpqRWSxnsMkh6Kmz8vPrNt8Q5FVkOQMrmPcO2UlDnNNvSExQ9g1vteyC6DQYCEx/3UhmXyVYjzBNdQdtVWv5SJI2iltuP+1U8IG+GlE7i4HaTL60VrUhMC/39uO2INQJYKQgB8WAzf694LkBtMTMzHWfPX4yPf/K/R19Xfzz7658ZJ6855n5S1nVPJcY3MVODxSBLuKkIq99Zuvnpasas5eXBz1seXlkBJc9LnLVdeUp5/lnJmzcJw/x0nzI5pjzxmbzETkCbUbaSLr43+SyDzBMCS7xUtYyoVFG+TNSOrxAgyY8hWoG6rJ4Rj1F3rieX9d9me6LHNHAPu4WlMhreXSbpyfrglTJKfa6iqYGpW1nH9LtIiXcTT8wHGzPwhhQb0JUvDoZrvIrvQIaKjR/LZbadDK3qPK7cGrGWfgSrFhjqCyb4xPnxaIC+K2QAEBjLhSUaNFlVhGOoZIxj4ZU8edZF9TrLVdCV+GRlAS6Te/bJbnxVQ7ds7KRkQb/kAVBNeiho3FMuhV6RUX/PMvyyLCRMqybGZ3Wfdmx0Js7IBl4g+hFYJwL/twAAIABJREFUQsCgi66jT6tnPHI557tq1bOpJ/G02XngsgVcy8dueeVBhU9Lsb/mK2O2wnfX3FtQpQetxwGRdMEH8LUsG8fCmySxWfbKprNuwuITtHP8ZD9lPQAmnq5rmqnnuvpNmfKSIz7rEbjTb1k2keMzL56lsZR6J8tR5rFldXeXjkxYX53PlJTSWiuC5ZEGQV1uyu/7wdfEX9zxV/GC73px1Ns7o7u9PQ4dOhEf++Tt8aM/9pPu3OLO/V+BvphP17S4WP9+cN2pf786jy2tSIHt0BZJBCX7q+VFScYIE5PjCJKPeXgiQlH4ycSYmaVR1llUgkPMCJMAN6uu4WfywkLkmAXfawJo8ok3cz9LGKkEoI17xlNl1F9QZd9rhU/FB+7ZIPE96hl+4pWDwqjz5gdWrpM4+FnWzfpAzHvQlpNOPs9Pj53kl+nxYKvwTN4YZl35pu6/7/54/wf+ID7xyc/E1//jb4gf+GevjNOnjynTrg0JMGViqWQl27yS7mzJz+GYlVbe57OC0nrX310veZcl3X94nLLd1ppNuWnyhvrUxSClrhUadbNsvpEpOLd4EVBeeJBcxl4V8aswXIoXKeBQ1gw2blFY6UVpvkTBM+Jw1H+VwYGYY4BYUYJf67807Cjv+1eOl8IpG3lXyD2458TJd/ggk19ZrVPmW+WMDsn2uU+7WQ5+caBNSQwr8U8elr6gKpeWHNzXOT70qT8uazZSn3/wpbV/q8m86mMDd39UEyf0JK/9jMHHGKroaH6HtoKQs7dnmUKbOqPgoQ/geInG8T4mDxDGO+vTAjDyOV/stcl79JvPZfPLF/fdl+ZXJY/l5Uy6znCafdDsXzck3khP0ja44pUjVQ3GSzXWzMPsR3VQU/Zdj3vAhArTpjuSGX57MnepIrtCgb7MiZuXS8O2zgQn45VtsCyHjrsSH5dLvrie2+d7gSn6EreUFT+zLrIR0woffNyWoGnJswxfbiS1zb5MPKo6lqPE37gQpAQP8qXeuGSZZl+RQFlOFDyoFb7CSRs/OArMZ+yZ6/VYW8/lNkmTUuIIzzJ/0AYrB9BoOn2IMfeTVnAnLMT9KTKf0D9w8HEvCMiLrx/+6EdiYGg43vOuX4kf+5F/Hr2432oR3/ltz4p3vOMX4vzlibibWBv6GQZk5X/gZ3ZyKx7/QFD/S6qxjEGeD11SoOQv8dIGuDLJkDdFa8plIl1d3VTcg/ghz86O1oe1swgGkXRPh9sC1UsGcO7KAy/J5QOMHGzkPvJ36pnTBGebZx6oTlZodFVK/anO0U1+Ej/hZx5sJPtr6XblUXGyMZSV/507e1ExCfZCcODwnBOWCRJxN8vKEQSc7EPS7HtAGjclI2wqGldkaY8r65C4kstvjhEcIOu3KStCcJ2fnyuDDdwacUmHFHutfXt7Mz71iU/FH374o1Hv7o/v/I5vjVOnjsbkFIkraciD0PwHL2myWCE+pjAhP1keTN6CEwfpij6p49YDYlPhOthUBJQ/BC8arJUDSQOreDbX8wHEyYOG+FgpivwNT8QZGTeTE/DA7n5EgcOFkxb4xeGc5y8Q1ySilWNlZTnjQ8yDKv7CPGhsE1BODSYs1/NSa1H4HAhLbJ7ekN2nC/PL5fBd04dsT14m/kXIKuaDvE+O/cAzAQ07JaGky5Dc78KFck4cRkKD+B0nshMukhkOC3byUejEmzk1NVUS6DEeHVdDbJ1l1Ek2OfXc/WleTU7M2GsGHg1i/DYUk2FeepIjP5UNKnupNtedpE/cb5AXifag3/LHmzrL2pKNMkCdCJLJiImmFhcvkkTQ/cdfJhnH9lgVs3NzZqY1joMzHYmpoRKxZB6ri0ur8gxsK5B/O85dmC7xLub/BLFSG8CknvXM9JR5qb5tRExNceA1cT7W2fRNMyapxjlf2070WPhOWeICXYf8SA5eZlKFJv4Bg37MseOJlwmzGCZBjroSB1X0KLFhTvZqIwFD6fJFskUiAzaMNjfJcWZ+QxM8X13xUnOOTfIWZbvgSPzo0nLqSvPl4sVlncWJ3GzvbCrHluJzaJpuDJJBZoyV6ZmdJryBfvYhtFWi14pvLPdn28gAhkDqsrxPm+7GWiwvkvSRBjl7cluB14xlfiPX9NHsdDmAODAq2LCxoxx96gDK7RDrlfFW5gmxbJSjTfCgP9A9botg7o149MxF6YEtzk/cIZZtMyTrklmSW0ZMXl7QJhragpbpKeJd68r7RwzU6upWrK9Dp9sglGRt1bJPXBLB3uSiIvaM+qtra81Er8DkOfedYBa5WlE+rcnJafGZuFFoIPaQ+aJ5WUU1f361v/y1BpM6u8UD8rnPfSFe/YqXxslje3VaemeUM6tqtXj21z81nvY1N8X993FgqhV+6xv7P4QomJWC1lo/7/vTAohS928P2hy8WZb6rd8Nz0q6FfZf9x2x3ma3lGJXarG8shoP3P+QhIo6JCPkrXByYjFWV4gNqkvJIUQEQXORkAujYXZ6pUwanmhJvEfQMGVJGsjJ8WTkZSwRPElA4vZmmwLz2K2BMUXyuOWVTXn9yMqKYpicXlCGVnaKESiuYFkdBLutbLwoG8Ha8WS3tLgaly9N6K1kYX4xFhZWHPxYJiG2IFPGmYrrQRJCTXjbPlYBISbpIIMCHFCJnIOnSe88AdpM8FbQwLemcCAzQeoZsP3o2TPiD4YXuzkwGjDSGGgMHpLVYQTAv3vuvleB0LMzszE3s6gAWhJOomQ4z+7ShYU4++il+L33/XH8zH/52fj07V+KG268MV7yHc+LsdEBxZh1dlrkpyfnArx8YntDEzNG28oq/UQQsD8ZyBijyA8J2QhcJLEb44OEefB6erpk29aOFMpvuI6ytHvygwauZtbzIGknfPFkhnGTBhOTuxT3LMYPSm6r4LqmGDKMLQzT1bUNnfmEcoVPvI0zIRPAzG+UIDgiU9BAVm3Kzs8SAM2EQiDtetiA4hyqVSk9lBjeKULlNtZIlOo4KPQpZ3E5uZ03DjCRIH/EK21tMtFQloBQZ/iFPgJEiZdZmFspRoknCeDT11wE0jIZk6Ea3Lgcx+bEerSjyRy813h52RFN9ANJGUkASwwq8jc9tRQba+DjXTpbO9DIKHbiV9qkPJMFChm6oXd724lpHUjrg2fRLdBmejxBMyExlvzmi76j/e3yz4YR/Af+wjwGBoYdb8/wm3YwkGlrW31Dpml4S3kmwU3Zs55MMZCIQ9tR0+ieZRmxq9pcwgRu3DDemAD5nRPmJvqqAW5bMg6Z6OAPnnEm0zQUOHCXCYpxTJJb+M9z2mXyBAfpIpJOKtC9ivVDT9EX3hxCr9Ef4G6dq3Z05qYn9DR2rjQmkBl75qjZJhmyIWYDAu/o5paNNQFvCThPefGhuH4KP9llZmOWe14e2i6F8cjVax3anFFqlGSnZEBnrEKDvXFrayve4FA8Ymy6oa+IxVEclRI+5ksInjaHZvA+hd7g8ssob5Ect+Igdxvn3nUIP1o9Ke1tyEfJhF12XlY8BqLjUi9e5MUSK8L/1D+lTRJncpeQEPDkdu66YycdsWR4BScmJxwvKUyt+xh7nTpvkYOQ26yrao3o7fW5kxheCCvxg8gTcBm7jP+u7m7tVmZ+AGfKkOLGPFUj2vUGXAw5aCfRJTv50rDTrjgyiBPkLnp4EU6D2jCeiL+7Ypg8qVUmnF37nmBe95NvimtOXh0/8L23SgG+4MUvj/e/770x2Nupldbv+99+JF5168viec99pvtOXfX3J8nvQ/CIs3oQ8t0XzE0hFL6g23S7UxpllGXk5lD56gDJK54z1cuy3t0Ov2iHZwyyn3/bO6Ot0YjXvOafqQ0U6fLimrLXZk0mKASTrNdcKEQmi/7BbrOWKW2HQxcREoRlK/BCkXW1FFBqeFINcDgj91DeCB2CypuHJq0Vtu1ngJ2Pfmhrb9fJ3In3+XOX4vCRA01eLC4sRU9vTzmY0YONCXrPHgK4UWY1WfIDA31qA9o9CWwU/OBpxL33PBinn3R1E18ULIZE5jpC6V66dCmOHj1c2MLxHbMxvsd5gMpYLm0IW7WNl4Cs4Hmh9LW0J6UTOuplfHy0xJzUYn5hKfr7+6MNXkrBbsR7f+v9sbi4ESeuORU3PvlqZYo9duSABixwOYyXbMgWUEsWhpsPc7XMYPyMj5PJ2DJI1lm8FRwSiTASkP/QQw/HiRNXCQ58wvDScwUmawFXmcOHhgjItESzq4zg+NbL90glQJl6TE9PhfMlVWOwkuWqZt7DiEQOtElAjK3JoO7sxnz1uF1dbsT0zGQcPrJXkzRvxwSBevnEuHEkw8BABsczYXtCrwJkazKqerWhwbjNTi/E8KhTYoAPRhWZpLVlW2BrsbJE5mo2QSBf8JNym9HZxT0mpLoC6LVlXmCznSrVgnmj3iiyTEH+0Yjx9KSY92zAEfhdFJH6j8mRjM6u5wztA/0DWlYEN+SWrNG+zBcrezwj/p0yqd8Yx8tkIHdmaXjgsUnqCsa/62FQtC7d20ndui0dY4St+UxoNnaWFteUUdyxiLTNBMwEnbjYmEpcMb6oW/EleeRyPKPfMZgGBsGN5xg6znrNd/DHuO5hqzuiU8Z/HuQMDMoQy8ZEy29a5OXhyqBiniFfoEQdDDafh2Y5QDr1fxnbtG/4wkSezcW57RgagbcYm9vRxiHCPH7MZbqFW4kftZ7MOaClAicLrGxGH1mtS4yuVb/1nww2iZEYoJfA3NAB/OpijGOMpvyFvMFDQyVFTFVw9zfIxgunvqKuGC9xgpv2wkGPaeKlFX0Mb7ha+eoy3AVXPMUe76bd5XkK3lk/aWC80HbyKY2WCqZlOeu5cSNveLrTxDPxVdZ+jTGPbYx/H2BN+dL32lni+sYhYYnx+aP5SXvGj1vug6SjWeir+OUKg6kQWgZHpYgiPv7pz8Zbf+5t8atv/4UYHByIF/yTl8Tv/e77lX/pt3/n9+O3fuc3473vfXcMkoSxyEES+Helxx3EKEMYEQD7qVJU3VkeuBVuKSwWOQ3GlgYlZAhHYbZxe6wQtVR5zFcE/B2//GuxurQU/+pf/nBRgFYIrYWxrtndkJeMPgSEtiXDKRTQgJu+VfFlLcp4WcmGYAo9ZX1VCjLvVJ/JI9/JAX1lOx5QhlPBdX9lna1yvoRxTuWXcP3Js7yA6d8WaA8QT4xVOeB4R4z7bfegqWAk1NZPKTRc47rpvwRzX7xwKW6/4yvKa/K85z8zjhzar50mRfMXEAWHZhOuD85+s23tNz/jvnVV4p+Vq7qSrJZg+sRXdIkjyMmV/M9S3He75kOW84RSzRDZbtYrrC6K1GwHR3ZeeuMrcg9MwW0mkEw4NtgrhVjw0LizseXpEDl0XF3SwERhYwxY/AN/Pn1JpjSZpNxy37iolHDmG5M/ONO2y/g3/VGNz/Lwce+5XWCkDgB3G6y+Rxs0w5pT+a4byXeo3IpaeNdY9YIIfq19Tvmsb1rN30pm3FCOHcpTn7L8a+VR/s7nLmu8DSXpenz5y4kOOMZROk5GTLabcB77KZ2kWC7KcgEj/wHTV/ZBfub98nRXn+cz4cuPJhj3IzJY8cM4u07SkJ+JP2W4l3xrAmzSnG0+9jNhVU9MA7CBh45GxvDqcTYonylv2V62bxnGa2cPjfHIsWWPB3X+5stjO2EaP2C436jrdjHIySulseZKu/hWyXbVHh5DdvG1OgSqp3/9t+wTtaVYuIpv3IMnya/sO/PJMFlOa+amU1+RU6wRbe3U4/KZofmSCK32WvllKHkOHDxNnhPsEcYblfoGfYLTgd2MeRm3/PXV/fxbe1vI1Wrxj2/52lhf3YhbX/398bt/8L6YnZyLz3z6L+LfvvFN8Zaf+8X4uqd9XQz2O2O1CUrG/d0IgqG+MC7aSmBeEaWi/ClTMSuFnC2htIX7ERgYW1XbKq8Bwr1a66MWWH8bjlbEgwODpQ67hrzt3YKXk0ObOteDHVw5K8kTTPLEk3OFX2oX4FBGMTXgX2jg/Khq0jYNLCFQln9QzKG/rRf3dR5RIhc1Lb9VbxJ2/54/f6EMSMPVYbblbVUT344PhAVeXm4rf7s/dEhsFoiIBx4gb5TxAw5nyXnQ4V3Lt2HHJmS3V/1vQKaP726DmCy8c9DLP2B++MN/Hu969wfio5/4cpy67nQ8+5n/KI4WYwmliCFF+2474uGHz+TX5r0zZx5Vg7TPP/PEfWHpI+4k8zuZ7kuXJpr1qXz5EkuQu4cScU5ScCKwFuSV4kpecps8JVymHaoSRglmLsyBBvPD7QtGw/lTRJCYggunPZYXHcfjdljCDR2cmvWVP0kxJ/DV+JCbypfvwVuWYoRPiY/KpTNo4mL5zG3QOMtuJA517ER6t+ZmWKYwXzVJiT6WdCvjAy9mRV89lhcxfriQHz6Bbx65Pf1s8kP31MelHKkuZojrKFnrWTInFoTxpMBhytVjZYl8WwQue/s7XkJeYtyGacQzYvlxv/hgafCiP4ip8Tg0RvwllQU0Zz/VdT5YxSfyIZHzBrgmjSVtPHqFWIHiHhdLZVwsp/py2+aJxxffge/+crvcy7HutvF2b+kMSMaf7zEu5wt9QOdwZ+sRnlOfZWmnhki4eKFa8otFo+SMsxy5jx1/Y755vOPJUpuSN2KyWLpJWmgbzyK8RC7MmJkplsQJ2KIukybxOskH5IH4yWqpH3jQ6L4xvgyfMoQMtxYxv8RZZeDLC6vjULe3s0+NC+cZGg/g4LF0zJVoCIKbl8w3i5y6hhxpfq6fWtI0je5n2kJ/AY++J37MHsPUT4Q0ePlevGv4cHFDc1+zYjE1OdtsB6/omUcuNDPxY/wRrtGKB/XxHBoX8wUYyRc+yUCDV5My6CLmrBnFLFHb8uJcYO5n7vqcPtNjHDn70LFGku1aI/p7h2NOOfdsgLW3VcZS1sGDmfjySaiBcfMYQ2+SrqfCv4XpCeSr+JkaujTpnxUBRZk3GtFZq8Vb3/pf4qlPf2q86zd+O9bWduKNP/Uz8eD5s/HDr/nB+JH/44eKrMPEv99aoycMowA77vj8F+LHfvwN8V0veXn8wA/8SHzogx9p6WAr4OTRz/7s2+JN//4/xut+8o3xr1//pvjKXffv2kZ94dJEvOXnfiHe/vZ3xi/+wi8r+Z86RINpN6yE2fqZkxlB3UuKOYEnKFqCSVeFFwLCAH7g/vPlkFwg1HSCNWv/wLDF7EkF/hquFRClwUn3FAiOsvDFcoUD4eAM/7zkYJj2m5EcbI5TqwXHNDGAK5gRvb19jpGQtwPBr0dvM7+TaupQRuPltzDir1galCIsGp7B1npdOD+hQ2WtCLysxyG6xg84VZxK4udAa9Obska8k8xStRNx9uw51QUusFhScFlicObjM7d/Pv7y81+Or/tHT4lXv/I74hue9VQdXGzcUNTkLemMhUUrVeqybMbyYGlCRQcHWSazIoG/znxe+qIQ6nwjwl44YLBWF/j5mf7qQOGVZhbyLOcyFVzipbwUW002LMmZj5Qj3onkkDZC4EHGhLmPIrp7upTU0PhbqbIzxdQw0fBW1ojLlyZLf4RypywtEMRqnJHLLSXz8xs47XpZttUDQTZqL2O4LWJtMHxB162h1ACK0rasM+HThvHC+0pAquqUtukTFLFlRbV1mCi/7SciBrC8DGiMqaLiyNyOxxUHeVbGpknzi4e5X2/riMUlTnW3fgM+fMK/BByMqYaWjlpjXogdclJA00wsiJfszH9iO/htnCpPWfa4+3prwzi6XC2mp5j0y0tDjRiq5fISYX4T8zOpMYZXA557vCs+uBif8I0Jzl5A+pkccASocwEHw63afUTbGF2rJV7M+DcUw4Nh5Gsnurv7FGdF/wET+qanmMQpA507ymXmlz5+k+W98mjyG9iKxRJbzJvtsptMfNbzIqESBsu6jaWCSgnYFt/LiyM0l+JqA6NnZ8twjBv0VHD5ypIquFQX+DkLtmHxDPk03tzjH3mkaA8Y8AJDx+3b80+qDuAaZ+t3J2BtaUk63zLAsp7jyuCjdSIHcpvP4Gwcu1v0JpBYRs4LvmIQdnWRI4ryXvZkHjItwKnrwGTvcrVcCE4uobpg0XGmGbrWN1aUrZ2NCUl3J3mwygsGeLa3dzb5QRmCuOGvcaftWokxM1yQmpsjDIQcgh53xMlxgX/KGMHfhmE9h3Hqy3B6ejhI3uOSOk/0Vfm5CiEwo0I4v3OnFtdefSz+7U/9OMNEb7Ls0Bge7GbDchm8LgdDmmAKtNaP7HBZ0npgAYCxf3n75+K9v/X78cLv+HbFFNxzz33x5v/wMzE7vxi3vuolahuhqzXa4oMf+Wgsr69HvaMvhntGo7e/O46fOKEyYP4Xn7k9XvcTPxVv/7m3xE03XRd3feXe+NHXvSF+9b++VYKROBmfynr2fToMqr0IgXB0dRI35EEmEZebn3LmU3dXV2xtb0bUOotAkFyQZ5RGaAgMxZVp65l2tyV0BRM5lnaiTRMd93BxdsiaT37a7V0M0rJ9GUVRL8c6uBZGit/u4TFLirhPcSuLIgSW2Cwl9wM3BLGkNBAq0hRVHAKDvJChuKJmb9eUgE2JAYv8oH85yZoLWcq+drtOhFkp6eQdb6UsATKYUECZMRk5sqIkjnRpZT3uuuve+Mvbbo+x8X3x6u9+RRw/uk/1YPHWtk9zR/joE3hrVzW/OaKGN1VPJK5Uuqa5pAPOVkDJb/rAb4KiqNDj7+pX8nEVBQutvMFz6VNBimaclIu+QpN3gHUq3b/lyePOAfWWp+IlEIoukziDG7LZ2dkeKyu87TrRHveUZE9Tp+W3mjDcx/BgHcUjQwyEoLl1GTwCvNxHpd1y7pVHgnmkxKe1PCrBiQWJW2lx9kRHJx4SJ0sFEnKiLN7Cz4HDSjqZ5DUa0dvXVWSNKGhPWsJRMgdvmcDgPFrIvPbRQ00gitMjV6X6R3JJssj0ahkmywCiR33UHh3tvOna6yB+8FKksZsTZ0MvFGKY2m4oZqshg4G2/c91su1GdPem18RyMD7eHx1atjC+xFXVOYuz9BmxOkNDTDLEuhDH2aY4NV4ANBaKB729w74+tYr3gp1RquV2nJSSfkVX1KM7k9ZKowGXsZtJDj0R1TBmBMUwiDvq0pEg/KZMW4yNZxyeywi+tUo0mGB32pW+IvkBXR30e1MX1KOHuNfmMjV0kcTVIQqW7UYMDNlYFB92OL6k5vP14H3RCY5JM17A89gTR0SF4qakKsuSbaMRfT3ONWZm7URdR+jY8wGNyAm8zTkBOnp62hVH5XHrwGfrB9qy3hwYBIZ7AC5a15Yeqdm4gWP2fDZCBol++w9jd3dCSY4rapehxRgBH2KvWIJzOzXJ+YGDe5vtAolYRMZF6gjukbyXK+85xo47xq+vv2PX8hrHJGnFptlnjG9jT3/Ca+jT2FXcJn3XiP4h9H6Wg/HES2ZMLAa427SOxUAqiozRXObQkRHkyzLBvaGhwWCTC3ArGRI5T8ifXTFMMAKk8qITuaSceBtcXIwvfO7z8Zd3fCEevv/B6Ozpjqc//elxy9OfFseOHWlhFp1TwUl4+WlhhCkoPJhFQ2bab/z678Qrb31ptElBUKMe7/mN347f+M3fjg996ANlMHK/Fr/8678T3/fql0kFiMnZAKZJoxYve8X3xzc+5xvjh//5K5yzotaIf/FDPxrHjx6Nn3j9a0tp4/m4ncEjKZGIn3/bf4u2aIvX/IiDvsG9NUEkJPiNozBN0Pkuv4mUs8uY5sS3Kq3GSnmecjHQsWkZJPmc+8bZpfhuxcrtwsoyGXhCoYbbrlozZjxnydBLXWoS6IJDm0zsRenqoQ0RTSjCIfEyHPByX1b9b5kyHjnhCm6S0VScUJPxMRXPgElagg995FOxsDAf42Oj8exn3xKHDu1T9mPOMbOfTVRKjhKP7FPLoilWs5JN5M000m71ppY8+usGaMLJTzGm/KmUuW40Dabkf5alzwp/d/Vt9nHp39Ymmokt4aVxNH3aZ65JUb+xJqieoPCq6E2Rtqln5csEjEKyXFAYfLjcV9lG1nnsc54UfWF0VNvNAisNFBv3zl4PH7IdSnLlp/w9UvaWGZ6l3LiHoQ+HgWtwjzUe87biZ8IEqfxHDSt6xq3lO5Gu2meiqbw28Cd5Acwr+lawExP4YCPYbabsQCtlaCvbMazW+4kPY8ey2lJWMkR948LY0xgvcOlD7rmVwgzqiF5oTToTl6p9j/uCGwBUpNRtjqoWXJp0lDqFv6k/Wsc6rZhGY+bf/KURZDLj7bLfKef+ZPcVHkyt0CE+GM7KJ2ZcNB/BVdEOPGpiAOMhsdGbPG/2p/oWczDNbOsqq4KCY5NXBRdBpm+RZXvOVF76Eo+Wx5KKlR4wMpb56n6hufDPrYnZhUfoy/Qk02emczcs1xLn9dW7EeuyQrhb+g3Pl0QlYYB32XhgEKVNyleXZY9HRSeInnxumQMt5Dx1vNukDLDq2qUpw0qg+ZP1QKi1Pb5X+LnfLbvCQ8WLvBdeJ+q7eJPofRU/jVVpUIP+cRpnQBD78Orv/aH4wf/9DXH+/GQ88znfGDfc+I/igx/+eHzrC14U7/q132zW/NuI4vmVbfleLW797pdGezm8NncNPO/5z4t2jpEQj/lTi9tuvyO+8Om/jI//+SdieWlRwus+8fMHz5yPhx99OF710n8aDUuQ5o2nPfnJ8f4PfDCmFefQRLkIQesEkn1seHXeQJteHA+2lUXeoC0Y0DM1NV+23QKXtWBvt/bEYgVfeVc8eJ1zyTCgiy3peIQ80MmHw5Zyuyk1QZQt2CmAlMtt39Xk57wWWQZBJ6aJ4EXuSeGWbfLG1PJLUJ7riNHyUrFuDl7uLy+5ecahaD04qDLPCKLu+tqGzxkrA4R6mVYgE935/KDSlDqVGAZiShBHtz09M6PlgPd/4I/ijz74sdgzMhyvfOmL4uUve1EcObRfQTlwAAAgAElEQVQvlhdXYnV5vbRiupyzx/V52yT/CEot+TAzPRPLy6yRwwPqODARIJ7Ia9rdZhx47qu5LKQpul7inNwOcnv5ss/XQ2mgxNnOrLPLtBxgOMQ0Vbwl9mOpyRfuwydiDZJ+Wl5dyxgZw7BLm7IGRWoH4miqpaadWCBnj97cjB9LmT5njN9szWeLPeeX+TewvOzi3/AFHu1s85t2rcCd86ZSFyvLW/LyugMcw6R8PiBeYpTmJLeOG8TTNTe7Ejukpch+JtfPOm3QAUh3PdbXivFRDASnebABLmWqnaPrXkaTLHvHp2ECaUfjJd3/3GfZj2W79P7R9XOKf4FGX6SnkHe4/CbFgPNkGT0mHcV6uSvES9IppBwBk6WntQ3nrvJ9YkPs6RXY2k6cPTOlWC/zlvgS8tFkX+BZrcV0Ob/N45TzGXPZwkYC/ehlSM1vAt0sowkPWWIJ28SQ54kcOfY6o7vcj+zQLSU0LfE8l5boDZaAJidY6k+i4SX5n6jlFAhrq1tK0cDNuoyWiEWd+Wbjlpob5BkqHjCOSSGVx9amlzOhEVlbWioxcWqqrtQqjdRX8sxzbmWJYaJMjTPdMl7Mu/eAnfIIPvJE5vsDzGAncImRc1wVy97rXjoufNvarse04qfACzqdCkZGG97kLXTGqnZAg7vSUzQalg1JH32EJ5ucWZ5P+M1ckLKOHl5e3lC6F1ogbIPUEnOzHpd4wSkzPbWouDNkgt/kqpqbWRJc5hHU9fmz89I30Mo1O7dkmRRumxrrmW9vaoJwCpZrreeJewOv+Vni6OzZJ43IxtpOLC16zsn3G2IUk6ccDQXtKU+Tkw4HucjZqoqJcr9curwYi8rbRUqW9VhcWHfuMvqOuXETvq2JfgBKV02j05yWhcPSH37kEaXmYZ772+wKc+D/2b+7luTcVCqR0gNlAvvUX3w2JiaX4oMf+nAcP9ov30dHrRG3vupl8fp/84Z4+zt+JV74HS+IkdF02f5dEWcy9oTFpKETNdjVQvZRjeu6lPzV15zUWIBpMO+PP/SR+JOP/ln8ycc/Ek+7+fr42Z/7+ThwsJxtpwRxl6KjvR6Dg7jaPebJvXHwyL6YW16OC5cnYnzsRFF4DopEeAzfcQ0IJTEFLCXMz87HnrI1nrP0cOnPzCxH38CwDtkliv/y5fno6u6Jem0rdmI7ZmYWYnx8b0Q7CeHYDUAQ7nb0DnRJKKFE25m72yV8HZ1dsdPoipnZqRgbHZMQgw8T6eBgT2xsbkS93ilh7untMq6MFAWgLsVw56DWlVmiIG8S5w6pN2t1Bf4SbImLk+Uh3NXEQbS1dYnnHCDKhDY6Oqz4n61t8pEsRUdbd3Rthda9WUsmIR7LFxhyGHb3P/BwnL72dMkv5KA98r90dnfpPDuOn8AYGhgciHPnLgrO+vpq7N+/XzE5Q0NDMTE5qWD5vv4DJX4j4o7bPxf33H0mljbW4rnP/cbYNzYUe/YO64358sRE9PWMyPN01fGD8fnPfyFOnToVU9PTMTjUFxcuXI5Dhw5FX99gPPjgI3H1NVfF2UfPxYEDh+NjH/t4PP+bvyHOn7scBw/tV0Dn8DCCVotz585Hd1dvcMAwcnznnXfHqVMnlVOLPCHEku3fjwu8Ho8+ei4GhwbkdZ2dmosLFy6Jd2y5xhgaG90f9ZG2ePTMOeUcmZqcCWglvcO5c2fjwMF9MTa6T0kKMbBI70Dc1qlT1yotAxM+Cunaa08qUSbBkcQwHTt2TBnnz50/r5ityanpuLq/P4jVm56+HAO9Y9HR4QkTxTs+vifOn3s4hkcG48EHHoxrTl4T993zUFx7+kRMTEzE4OBwTEzMKhUGp6dfujQZBw6MS3727B0JEoiOjY3H2Ucn46oTe5QPjOWTqYmlaO/cjNGRMSUuReaYsDg5/dIF53VZWN6Kk8cPxoWJy7G5tq4cQ0eOHo2VlTkFch4+fDhYcr/+hpNK1TA0OB4E94+Mdns8dLTLCIFmDKH77n9Y8ryzvRknrj4R9977gCbF3r6euPbkVfGVu++Lg/uPxfZGW0xNn4/9+/Yq0L+zYyAatbU4deqaOHfugsbQ9NRkjIwOKl8VqSWI23r44bNx+PDBmJqclvzAH9Jj3Pnlu+LU6etkPOw0NqKnp08pODZWazE02hXnLlzU8u/AwIiWtAZ6O4NDkVkO3t5qj30HB2NmZipWVnbi7NkL0dt/UyzMz8bq+mpsb9Ziz959wVLdnV+6P/bt36vknX19x+P2274YBw7sVwzHtaeujnPnz0ZbvSPa2hoxP78S111/TXzx83dprN1z133xgu/85rhw/lwsLDhH101Pvi42t1bj0Ucux9j4nlhcmYuD+/fGQw+cU3qNhcW5uPbk8bjr7nujo60niBfhpenw0T0aAwNDA3H/A/fHyMhT4syZM3HkyKG4dPlSDAwdjolLCwr0RxYW5zfjyFUjce89D8S+g4fi4qVL8aQnXROPPHJey5YDA73R29UtPYqhiuGwvbUs3p47dykG+odieXUprr32qjjz8CV5SNZX0WsOvp6amojDh6+K6anp6O7e67Qex0/GxUuTceL4oXjkkXPSx129fTE00KO0B/fee390dvYGqT327R+Nv/rS3dGBjO50xKnrjsSD94HbTvQPDMRq7wb+kbh0eTp6e4diZXUhxsavifvuPRvXXHsgzp2bjuGxzpiaWFTcantnPRYW67FnbCgePnMuDh/eF+vrvITV4sEHH45jR44GSUJHx4bj4YcfjqHB4Whrr2u5eXV1O0j+i25it3l3T0c8+uiFaKt3aUwMDPXG3XffF3vGj8bWFgb5thIMd3R0xp49Y0FyS8bYo4/MxL594zE7MxMDQ+OxubHsuEnyp21GdHZEPPzgpbjm5FHhMDIyHPNzxF7OxeLCZhw8NBKXLi5EZ6c3GnHuW/9AvwLP94zvkaHP8r4Oem/UdUYlc9v0JDGHG9HWbnp5vrXJXDgrXTY60h0Tlxc1hu+595F46lNPK1EmL3XMOaR1IZnrmUfOK9RkY6MR/dceijs+98UY6BuREUUKFDbaHDlyMIaHxhXHODjYr7n6iTaadhlM+VaEqWOPQnmzaER85ra/jJe85Fvi+LH+4EQEmS2NiK6uWrz5zf8uXv6K74m7738wnvF1TylvJGl4/e2GE9aqGWG/irZGpyu6EXHbHZ+LF77oW6Mt3YG1iNf/+I/Hy1/+yvjEJz4ev/3u98U/efGr401ven0895u/Xg1OTFyOY0eP+q1SO33AeCe6O7u1Xr64wE6BQl9E/OAP/lDcf/9DgeLHIme7484W68YDsbW9Fp3d3XHrd786yCZ7aWJG+YC2NqFxKOZnl2N833Csrq/FwuJ8dI0Ox8TlGQnw3PyUBPvyxek4fHRfXLwwG/sPstuuUx4GkjDuXR+Njq52HWSLVb2+uRkcuLswuxT1eocUzOTkjNasl5am9WayuYVx590KHZ3sCFssQai1WFkl47jf1POkZ+yq3r5ueS0YzEODQzqslsn17KNno6ODQw8JZI1YWl7WrpW5hbXYM06cQ3s8/NC56O8fjI3Nzejq6YyL5+fkuRtEoBdnYmx0NCanZqOtoz3OXzynHFDQdvDAgZi4fL8MHfIoYTB0dHTHxMRkjIyMxFfuvCdOnb42vvylu6O7pz8+/8W74t6774m5hcW47vTNcfPNJ6O3t1OD/f77H4m9e/fE9mYjFjYXNFEzwZ4+fX3Mzc7GxnpNEz0Gzb333he9PdC4rfxLuK5p8/rrbmr2O7+9XbUhLxHvyPB1//49KvvkG2+MyakpGeh4J5CXhx96VPy54YbTgbHS3dkTvX1bcfLkcS03XLgwEe3t3bHdsPehq7sj9u7FELgcfX09Srz51Kc9RQpmbt4G2MWLE5JT3uppg7HQ2zMQS4sT6mPyTWn3VaNdSTxXdWAtB3OSDNHZsjHUTl97XTx65rzevBlJHLY8OTXJgqOMOBtsy9HZ5QMuUdLAau9oVwA5xt3I8IiShA4N0/5y9PT0a2LZd2BI8Lq6NrUUPTo+EKOj/TJowANP6cBQj2JeRkdHpBzrU3PRN9AVexvjCnUho3hnF7EzY7HFi0hbLQb6BxUPsWfcOcM4ZPbIkSOaKBhrazqlfjUG+nvi8KHDSpZ3+fKMYkqOn7gq+vt74szDk7GyuiVjsq3WFsubq1K+4HX02HF5Y3Z2umWwjY4MSz80dlDceF5WY8/eMU1We/ce0JvzOLnJag0ZuIwJjDNyTI2PD8fIaK9ecpjsagPtQc6rk9cclzdGeZrqtejq7lSAOAYoHjJikvr6+rzjrNEWg0P9MTLar5eo2enl0CGlHW1x/Y0ntYML3pDP6h8/6+s0RrWzsbajsAdecgYGu6Ojw56EJ11/UvnSOtuJC9rWS8DBQ+QtY3ysxdBIb1xz8piC3FfWwKs9bnjyNZInAm43Nrfi6hPHFRDOMyf/xIAf11g/deo6WBAHD+5XTNXgwGjUojOGhvuio6NL3ssjVznm6sk3P0ly0N9zVXR3tMXxIwdiY5M4li7Fo/KiOTzYH+fPz8WRo4fkjWBCZ1f0ymqPcmIdOrxH8Upnz8zE+J4heX/Gx4eCePWR0RHBOX3qpHKPDZEbrdaI4ycOa4wurWwFCRlZbr7+hmtjdZUXXlYBduLGG07phfuCMohHXPskZIykwQvR2dUZfb0D0ke1tlo8+og9d6dOHyFiLvbsGwhOZ+CFjRiuyakF5cUjFuu6J52I7a0tJXZEHyMLMGx8z2Cgl0+dPqExzIs3cypxfkPDJ+PShZkYHCbeqBbHTxxRPjJesBkTN918nebQR88sxdg4L4k+3By9x0HhtHP0qlFt4+/taw+MCS6WXycnNqOjy1nLrz19RFnkiQsaHR0SLGje2JiKru62uOrEqDzr58+Sn6s7+gbaYmCQlyK8iFvR29sfPT2j0kcXL5CctzfG9/VENHr00k7usO6uDukhPPRT08uKt7vqRLfqHDm6Ty84R48dEE8Yz/AE/XztqeOajzfW6LO2uPnmm0TDxXNTkq2BwavFqwvnLzv+Tk+f+D+7DCYUdS5NoLhtyBQP//Z2HDtwMLSUTHCnvOgE+TWir7s9jhw6KG8MHMp6fz/y7CaWq5eYHA7zq2/r7eqhRx6KF77424OgRJk4BMj1dMSTTl0V1536vnjRi14Qb/ypn443/Lufjlue9fTo6+3Uzi0l/dK6dFkbx/25veVT3h2BVoy7iDf/9H+MhSUmj87YIa09uzB2dqKDhGn1evzae94XBFDh2Tlx7IBWPSYuORjt0JFx4bVv37BSKxDQd/jIfrmeOzvIq9GIo1ft18Ddf7A/+pXYcid6ewejt69NAo+wDw31xvx8uyYm3jz6erpF/+VLJFw8IAHjdOrZmcUYHR0oUQa4d9fi4OHh0GnXEdE/2FO2tUaMjnmwMfllsssjR3rEh7aOISmXY1cRf8Yy3roUEXzjrbCjc1H09nR3xVUnGIUs6azIWD54aK/e7tke29PTIaE/eHCPJvRD+w8G8bKHDx2QUsSrhRJhEmCyXFxcicGBYcnJk647pYHe098Tf/WlL8add90btzzjlhjs74snnb6qLMxgREzJkEH5DQ8PCAZBkoODVta9vfujvX06xveMabA2GvtlKB0+4gSTtM/xKl0Kwq3HwUP7hJNSKUQ99u3Dc8RW3mnV5zfj4eDBfc179i7V4sEHHlLZPeOc6M3ShZdMMLgoryU5sr/XarFv3z71/3CZqIHBfTyU7Iqh/oED+yRriTt1uDo6baSRyHRgIJQJl4m3Xif5JpP9Vuzfv08Tbn9/rxTp8PBYjIz2qA3KLC1uyngRnwYH5IIfHx9RzMTYOIq2LTYx/Bu1OHbssHBdKzsS+/p7JXNaKpPBGFJm4EaSOuhg+XxwsDtWO0gu2C4FOTjkpKr9y/2ayIYGSYrJeBqMzo7OqLVtR2etQ7Epw8MjhT8ODu3sPFx2INVlZNTqa8oSTFseNzhUh6Onx7zDC3HgwEhgmFZxU12aePJ09J3tLQXZ8sKEN4oLw5/g3kxaygaBfp22ngHCBKkSrLwTfQSiQ0AJTM0ElytrG9EZnYqr7Ol24DBL0iw9Dw/7jXhzg/bYdMEuu4h9e/dobFCmt6cjaqN9JfllIzo6SGbbiGElPPVOz+7uzsAwcBCxJzbgOciYgN42Bf9DB9/xcrDvYM+e4RJI3YhGnSWdtti7ZzjIdI8+wpjGU0GbTGAkE2VDSndXXd4QeMRZgQR9gzeeaCbq4RH0dEOyyFyBzunSjioH6TPGN+pe6kMPdnW3l91UEW1KWsiY6AdE4YsDz3trHTIekHmukZEB8RwDgyNY6nUmcO8aIx4OXPoJcFZcDceEOKBbae8EuWa8Sr4vyll3dMsDpdYb2zIUUk4UX1WzUcJz5gC2KQwN5c40G1IjQ33R3pIXiBWIfiXD9HP4ixEAkW6XoGnPA8gxz3m5wOPCjEYZjI8B5K/pPIgY34OxZO8388P2zpaShHqOBsGG9LsGHa01GCMYNOBeXr7qBIL3F6MG47EWBw+hP1iCczD+8HBfdHWznImXmBfrjiIn4gJ/NB+InsLb7h7vmvN8Dw312LvXxhVt0Hn79gxLP/AbupFlX+Rd4ltbdGpTQWhjAHwZHnGiTm0gqdXi0OH9titKTcoA64m6rgj6llYQU9WLeGY0Pe7EX/3VvfF/ve0X443/5nVx7PhhGS8wgrXgD3/oY/H+D/xuvP2X3xrd2gkjKf4707SbCV4b32FnQSPiF3/5XfHSl704xgeHJBdgmELXbADvba0RL375rfFvfuIn4mtuuiE+8vFPx2+9973xrl/6BQulOnon/ugPPxhvfssvxbt/5R1x7YmDRaitROgHKcYixDL8yLIbjfiv/+1d2hXw/d/3agUbi1PK2k0dYVXacWcaljs3nzfxlVhSLo3SXJasSphYw3XwNwOwJVCQRzCIzyKQGkgodaxaxSm0Lqs+Vsha+V7x1MJvnI1P0qKB0IpDQZe6zQD4svuKNycutyFk1UfEAuiqEXuyHRfPT8Vnb7sjLly+FCeuvja+/uufGgN9PVKeqo8oNWk0vwyg+mvck1bue4CaBglHc7LbxUMzT4O9ld6ELLpK6v68V94UdvdF8yFfhOwVODyOzKoOZcG7dRfRLmCP+8M8hY8OSE0FWvWhvakYOr5oo/V7grUyNg7cS77BsytlC1yvkCGCyYsRUbXDN08W5oXbNW7shMy8aWh1An8pywVstyF541YJyvdz3dhVTrWaL3n6VRXVGGbS8C3LcCsfSlHhQNs+VcCBvJQrEw6PXLnZV+DJBGGZgY7sdocUlyZbcOGr+9k3HQNiwZZfUe2bRzbY0GdMgFVbxqmJyi7otAifXcZ8BO3E0YWlz9jVJJ6JsAKlVU9xS7O2ySq6rWrOukqllCJgp2ThRmao2iJD/DQo99sueUmm+dMRnlUr+qbKlgkDr55XfIDmSrYd9J09oCCkkqDSdLduGrgSpscTPEvcHFsnupp9Tnsez9TPsaiDrkGqjKGmPqxQfuy8pWemL+mRAeUGC++S/itkjjLMV2XuS1p4KWDcV/LTgkAZX9Ud+INJCB2l/9hAAP1XyI5lClyS1xUUt0W+sI3o7SHWGAMWeI8t61oVTRSz8QTv7KTg5YAXh4w5XF9blxcwW0R+n6hrF0XGoxDTiPizP/14vOU/vzV+/i1vj0987GPxwP33xStf+b3xmh9+bfzMv/9P8TNv+s/x0pfdGm98888Eb8Gr2v7HmEFh/8Mujc86B5yei3/302+L5z7nm2Ic16vMEcN8zOSGN6hRi2c/8xujo4sYokZcdexInDt7VksW1ILJsPnCuUsSCMcjpfIwtmpbZatBw1ZZqNlYX1deFBjmoEmf9ZOTFfitrWQQpQ0FYki8cz87mEA9Jo3kDt4JB+BVigWX6WbRWa63vLz78Fctz8go8oBmKQDjQ4IkZViPyxPlfDMJuBPRXdkj8DF5iTufo1pSCVCWtWZcycYNRUEgIgF+4AUNDtSTu1nK2meNOVDQuCNTLFmiSOkjaF9aXom77rwv3v6OX41f+Y3fjJWNRjz/ec+N7/i2Z8VQn5eLpmbm7d0orFLgtXbE+QZLpsvlUEYH0pPjhpwxbhe6cHGTBDCNN/jmJI3QYlp1OGp2h46zIWDR8gJcBq3PldNedtFx4TyJLJEEt0W8iusAiMB9Hz6ZcPjkeJXWizgnkjbauLC85FlyWY5EiZLboiAyD1MqDPodOMLFqCh+BdrTWCKAcnrSCeXoR5JL6rxDBWaD705MTdpTSrvIs9JNyOAGqI1UpycoMqaz9vLwXcOAz5yXlvQAy4krBVVypkDS5s4mlCrL3/QDk4HbnrhkXlqB1Jt5mEyzJygHm9KHyKaD1NUXpR85UgLepmxzmK1zfxUmKeFiObRUBlubNi8g6IyD7FcmAL3hM8w08e827pbWNsFcD40fO4VaJ1RiQPDEgRgGGcvDLKXZqKCPfLBuqmHGMcsq8CDvOXFi4sREDF1OkFkkRQn/clxyz+fuSQ4YcuTaWSeQFk+oeQjP5+eQncpYItYQ/QSt8B9ZcZnSTglQBm7ylqVYcBJ+paK3vruO+7XwXf3j4OXyVPLHsWQco6NGS1OTl9cKydYZBB1zkHR1kcOLMx4LL5VsM/uXUhzJQtdUfQbOy0s2olRCm2HI8aM5vsmbudmSyFX6irNCPQ7NTwLHV7VbM3HhvnKMNWc9YrSKMJZCxCSiJ/PisF76RfIF5TqPzoHWzTLqH49BysIDNmwUxohdOX8k7zgv0hdGk7/p3Ddwk6g6n5PLI2M7sby8FSyX+kJWSOhZ4QIcbfKQTJouzi6ERjfh1ArTM0saD+InZ9RNLXhXa8GDjN26+K17PjYHXLR21GjE1JTPz4Re4HDO6i5ZL1g+UR85KtW+J3+/nULApbmVuDi/EhPzq7G8VovnfuML4jnP+9YY3ncsVjY7Ymm9HidveEq88MUvir379ocPhPRyXdMmeFzKyohsCpgL5SCcmpqO//7pO+MnX/fDce3VR81dJkvtOirGWMojXJV6YaJaipNXH9cguvqqY0Hw2v/47Gdl8DD50Ql33XN//KvX/HAMyf2OEkNQLCw850o8EGaUGk/burvk9mdNm/KUIYDb5fFB7SiYjtghBAAsV1Y3Yp3fYgZ4eucG3p8UZu9co11PTBcvXVbgJayBNAbE6jIngxtH2l1DUctTQzbjRmwqQJjYEiYfciaRiVyoCS7fONU6jTvgstOBiT1pRkGz5i/cC3I8N3uNG/j7tHLTAtz1NSfF8wggO3AqZsrsBJ7CJQ6yLR7D6Ymp+JV3vSc++KefjGufdEP8+L9+bXzPrS+II4c50w6uwTttR/Gnu0SxBsAoP3VopmnkTcTMqpRHGjytxqkz3jodDx4dVqMbsbrGYabmLb+9U828wy1MP1jRobh9n+B7X6aRXX8e4O5HCgKHvkpZInariKrKAtNJ27JtqHYD2ScYKfRZwtjtzfHOkw0tB+KpoZx3wbm+BYAYjk3yU2lipN9pl35Ng8Jvciw9UY//iIvyBT7eJWceVJ4jHbCqJlAhLDdANeVLFmsdjmrlLbjIKYfANgXTOcg4j82eEPqsLdbWMUL4zzhkjiX4gFgCS3yV7sjJEBxIFmVVQRwgxqTuiZB8YXB/gSvLjkkjhszOzqaWmMvNwi/aAo4N59aUaeDQobdzWtmSMcQ3ltpsIBkSAbj2WLCRpK4EmoZZ+ochWy7uI3P8q/o8YmPL/QdPCCSHB4xf8MqrXs/oCtNog9nyByyWIEsnFeONmvRXJV/MmTuKtYEGn3FHosTWdsjELNar4W0dAA0+uinPDJMgE2PR07V8maMCHVT34bxKdWH8iWuB/8bHFCnRKGDBsSzDOGGs+Quv2OGWvILGViOFPlAeJulVZAe+bGtFRPiiMoIXWnAo+g2catvV7ki1j371SyP8VzvePtfsI+5prlB50HUKAvPN8CXjVXdZ5sv4NsXeVW0Qlg0OazazjR8wxEPxzvcUlK2R55rL7MoshhF4iINFn2uI1Dlv0pubKGi8qFsGD1XIi9WBPFW8YUcbcBOUXjSLvnYjFAcGl3EjRlBGktHQkiJPJZvlnpUiByHzLupVBzUkMI3Y3NoKNhE1ZawSPrX01f6To8xElnw0ih+KiFe99AVx68tekH1mZiXHNBkUdNVXHuQoTU16We5vpMid7CI2LEgl8Psf+OP4nu99hROe0ekNgnLn49O33RYvfOG3qPjkhcnYe2iPvFn1xk783h/+j7j6+OnoVlAZg6URz3v+N8XP/8J/jWc98xbtXFuaXYvppc146T/9Fm2AlUBJ03uiADAdk4KWHcdT1qB3WPOVYDlvj5IRojTrKEPEa6e52w0BJLEgcQAW9FS+KSnQzhu7BSVtKhK0EayqxIIl0SUHfGK6yVyoM2xJxGfhRBlPzczG6OiYAhNFCSn/SWgYo0W8ajI4Bod6LfQcNrrBifQej6x3M5FtbzOQLBK0wn2se4I7PSlirLHTAhrwwhFX0xGLi7PNDNndvV3x8CMPxY3XX6/lFoxcAq5Xljfi45/8ZNx110OxXe+KV7302+LIYcfz4L7t63Pci2WhEWPjrIdXSwpt7X7zd3exfX6hGXekOryBbZJ5PQdXm3bVsMst8SWT9smTJ4uxYAUxM70YQ0OOo4E5lBkZJr7K/YQhMTMzrV1U9DDweRujL5gcKae3cnmgURQ1xddwADHBz0W8xEsPCeDWgl0r7MojXizlLOOc1HZtRzt81A/FaGFXXg5GeLOxvhHje9yGYTBWbIwX9BW70zvAwce0i3dvWbttMBKQZXBiN85Ogx2V9jbgtersGC2y6zHKtvT2Dqgm8V89ttDlPMKgqG1LwW5ubSsmgfGPfLBxgTbhCfj29fapODE1jDNiP/oGOKGc3+7fkZJ94ZsAACAASURBVNHhaGyT8NXzO4HyNiRsHMEP4pf88m/cyM4uvYMxVgtldHdME3CJFex2/IQqWT4IzKY/rYgZb45ZsufRY1aJ+UQkyTLJiL4R7Zy6rpVIEluCc1vJxwMuzCjISPVCNDTsWCvHi0QcOkKs55bHb414POLILGuJw9gedho7TxH6g0OChSs9pMmZ8dLjRJHQ1IBGPLPmIeOBGBMhKvxr0a/YN/MU2cDQIN7FfYPeg2ZOmreBhEG9vrHmWCzwKwKl2BUFCtGvJNVENyT+7g/Gc02eOnTJRmxt1H0agB6Xybh4hpBD+he9kWMfvE9cvTeiCaOmeL7+OjFMGLcOnj50hAB+8pDV9TLteBj6FL2B/vKSsXSs+qQjlNgfOZfOq5XDoUEMGi2n+w84xk8rCY1a7N3HCgcrDb4IsjYLsr9rCqomU7bBEGtEbFYuLZFkMmt7jhkeIdM38GxY8nR0rOgCySmxVNBnvBiojD9ibF3RualcJsdiI/YeGNBz84A+gt/VAdHwhQBv9xnP69E7AG0Y4txthDL4SFlZ/yIbA0OGgX5hDA4ME9Nq/MWVRiMOHUn95PF9+BB8K06JBqcMEHNGJb8QoX+6eoh7ZCJyUlt26Cr/D8VqNcVFqXwqNHfBE/a3JYYJr4SFgu3BKCAPOAxOd6qVVIWr9Y+VlO9CpSdy8bspYlUdvmlCKLdsoJS3nFot3v2e98U7f/m9cfjwcPR09sfKyrLyH933wJn49V//lTh98kh8+Ut3xvf+s9fGP33Jd8ZTnvI18cCD90dXx2C87OUvjP6+DvdjREzNLMSPv/4N8ZxnPSu++VueH+9992/FTU+/Jb7hlic3BcZKTmZGE8kr8WP7/C/96nuDnSjfc+uLJVgS9PLm44oWTq3J4vgpiqoJVF8QjORPGlD8luS5aIldgPuaLFkakZDxWKaoRodqqZqzdlfDjjZycOanc53U23jmy3znu9tmKqS0lYvLWDnzPRW1S9topB4DI+XGdBXoTbj8Xlpaj9/53T/UMuHp09fGU5/y5DhycMx04Slr0ue2aCUHvGkWBhrUyiZMMYRPuBf5K7llVFdKiP4wfsYpYbfUg2KRcQXPWjxZwFBNipb+lndPb3kFplnRnKCa7WJQ6QiFbNu8dv8kfgJ/xZ8EmBPgbhlp5U3CMoCkrbV8ypx72GxL+IlP/oZfRR8L5ZxEHFtAu2aYHmqysnGA9DFJ5iso8PiX2bQTaCmnMZBterI2n32vkjva8T3TDD8ei0PrMqAwk/LxeJTkICLyoEEbhheTKt+TX+7jirakL58jj/AA/qAjbWDxkmGDC+8IxoHlzXCpm/2X8IGbV8pc1Yb1bb7DVvxxDX5zJaz8LdNdXEpeuRz0Yxj5czffKEF9eGmdUCV85He23fpJnSxfdJImscSfZ+ViPIu3PgvOB0InLMrwnYu6WN70CbyzTsxxxr1KFqjjvlf36oUtecgz/pVJX3gxpxim2+I5CTF5weVO1kl+lk/hzrOkh+82jMg8b/Y/3thNODbSNBSaNCaeSbMxeiyfbbhgRLqhhGkcNMZAnp+Fh6Yx4VbtoJfRU5oxyrCELZXuaIGh1z/a4l/CMK91S/y0TqYMfeKLz9S/3AE3Vjg8DuRxUmfluDVs4wCtnrWA4e+mM2mTDGn1IPngVj3mCgpf5Y8WgylbRhjwfHjHBch7mq7FHbd9Ie6446+iraMeq2ubUedIiN7uaKyxC6UjXvJPvjPGxpyH6W8iqmI4HUgHWEB4Qbzt9i8GZz+ROKi9zTsoVjc2g1OQn/aUG7XTAmH40lceiUceelgW6PU3nI7+nq4izBVzETCMvzNnLsZX7rw7brrpxjhyGE9Mm9x/TUvdIzAZ0PzMgYsh+bZ3vDsGB3rje171Ej0HbytMcC9LAw2OS8C7hTZG/oyLaNTbrwUCuHYl72gbbr4NU2lzY0dvU+ZLvl0gaDmAaT4VkgcEb6xsDdfLflFWi0tLu7wXGY+Tb2QII/iDR17EffBW3ToxOmcTbXuyI4nm4CDbRpETDyqWcHJXCOWIy2DX1sTETHzpy/fEQw8+HDfcfH3ceP3N0TdAMH+2yWDz8uHm2nbZ6WRsTL89ObRMXAQ7ejzovVRpt7HZDC4EXuJ4sxLBZb8W/QO9YhfwyE8zOOj0CbRC97Bjjx2BqQOIj2GrrPvO/cXBoL3aBQO9deUmYpt1XsQaOU+I6aJ/SSjZP+AdUsAi0SA73JpXLWKZnYt93h3GfRKAkkKgulKBVHdkXHJbu/M2tGumCL4KwQOO11CRspOORJRsT4YRJCPk7dd8dP/hNezuZkecvU4sbTL2qmM+doJVSO9gwthoi+WlLe3wVKM6b4v4HcM2tsT04TnQ24P6wOMlFS8Y5hs4NUwrMujdXobi+3QHMXBp1ns8aAJRMb/FYsikbkEBa27RGXwr0dnRVo7kcBliMHp62x10XiO2EC9Z68TtZZVc8kFW2EXKDiK9jROjNbcaeJAsqyCyE+xiZ2t4ys/C3HoMDqGbLBusrjXkkbMLjRcs5JWcN9DKstLyympz96egKjCW+tBtvrk0/ODyX93b9RIHbBt183OL0d7RIU9uji3a5jtjGRjETzF+wB+dTwwm+X8wEt3GjlKc5M4m2sNzzK5Bn1IPHtTD0whB3sDDkla93cfnJFyWagYGexxaUCcJJbvgbHRCFbFe42P2iJPsFC++dGubvUv1OrjkTtLCAehA9SpcwYai6TMfYN3S4k4MDLEb0V1CDF13F+PFRhEyRJiEN1FzD52M1wXdY5nY2FgPUka4L8y7qYm52LNvuDgd6lr2gi/0LeXIv1Srb8k7yooeS9zIHHqFscjYsEySFsEes5mZJR2P0tPTqfKMO3JY6bgaHbdSl7y0d5A+AdKJq90JjjahXXm85Lmh+xj729o5SO4jvEjUYAVhc6Mtenrq6ndkgH/MA3i04CXjaBNed9lQhA/gzMsgu/vWN9ajq7NLsZJje3qUS4n705OMj57gCEbmNenlOjsI8Y6TzNReVHZusgrB7mKW6JnLOC6IeYi8XehsdqeXXpbMgv0TceXrTLNtKxyYzS3Em6sWv/P7H443vvHN8TVPviGOHTocZL5GzNbba7G9vhWddbI+r0eMeYA2AT7OF4S49bLFqV37ccvXfk15ZDjCoHWCLdENN153PG68/rgsWhkTZdAbccOX0oxGHD92IE5cRY4VC7cnnfK9iciVv5s6TvQTE4GLmkBQElx2d3cpkd3Rq0Zi4vKs8qoszjWC4+bYrkwWZk50xoXNshWJC/sHB2J1eS16+jpjdpoUBmw17owaE9wOcQYbSqy2sLASuGwJwuTAT5JbcsYWqQHoE07XJgXBxua61uRxx09dXoiBoW5tI0ehTc/MazspBgGGBbEJrImzFZ+g677enrhw8WIcPXpIycqIFVlaWIu9+0aV7A5lCV+JRyDnCtmSu7p6Y2ZqLgYH9sfExFz09HYrWJOJi623c3Pzcr3fdtsX4vzliSAdwi1Pf0Y845m3xPXXn4jlhdWYnVxzgrX6FkdFxuVLl5QkkPQE+/aPaxmtt3dAcTQMfGJaiG9YX+Mssq0YGBhS/iUmFgybDral6qDaFRkD+/aPBYkIiefq6uyP+bnl6OvvVPLTtlqnFOXwcG9cvDAZQ8PkwlmLgYEenVdEn/X2kJKhS/mSwA/3MIG7x44f0HIdLm0MQpatGPD0xeTEdGztj+jqbFOAKJPM9jbJOvuU4HJsbCQuXpiIQ4f2x+zcnOLShoeHFahPgDXB6sePH4m52fkgQeZDDz0SPGc8sa12cnJKdUgs2Nnpw0OXFkk6161gZpJgggOyQnDp/gPjkh3y+aytsFmhTQqc0+jZnEGelZHRvpienom+nr5YXNyM7u7t4BjE6ZnJGOjvV8wbuZgwFtk6vjC/HMOjvTE3s6wkdtNTy3Hw0ICU2/rqtnAlBmFsrB6zs6tKC8IkMdbeHROTs9FeR0OzTOezxgiOZmmNWK/BoW4lTeU5Ru2xY3uVL4ylTk44d14jB/WDC4qVcUM/c6g0+oPlpbn5OSluZHV4ZEA5n0h/QBZlUhJ099YlO2QTJ36sp3dUE340tmKbOJ91b6nXZD7UG0xYJJRcXFiO/oE+BfZ2dI5Gg3ibRpsyF/cPdJZganugkMveXp5tRE8fy8Kr0TfQHrMzy0ooOju9FiPj/dHJRLO+Hisr5HrrlvG5trKhF8+lBfIwbSq4mC3vTGqkAFDs2U6bkgYS1zg82iMcMOoWFsgnNaj+YtlmZZkktKQUYaIkw/J2cOonegwDur3eHVPTM0GuHDJmo2MwDLp6fO4cQfIYWDPTS7H/wLB40N3THbNzy7Fv34AmQOPvGCUm/kuXJmLPnn0xOzOvF2clvu3sFNzuHnZUs/y7pUSHm1uL0ddPvy/GBlnAd+DbaKyvbSrmbmN1PdY32oLM09Tr6uvUQcVjo32SNfqXvF4HDiGjG1p+Iyha29J3GoGsE1/Jkmd3T10vMCwZI/sDw3sl3+zGInM3+oOzEYnT4UxOEnEi28Rr8eJ34cJ0HDu2R7ofo2R9AyPLL3sEnpN2Ij10TPjku8MgY97kUGoMPqYewoI2NzaDM2jZeNHXj8HumFS8cIx3znUjfqutRt6wNqWToC4xasv00+qmll+XyTnVQYLihTh4aChIncFFED56EyOYNkhbQ+4uGRwNZG4zLl2ci6PH9kjH7mxxcPtyxEiX+n69ZG7nBXtsb2+QDb6rqy2mp5dj38F+GV0Y1PCN8dm50xbt7V2KjWQTB3O7YttrWypDv/Ibg5BM+iyP44neIq1He6fyGqIHeMGvRUcsrzAHjWhMkXYDsjjoF/yR5Stth+b0/VX6ssvDZIOCfsbUKFZ5QeSHXvsTccONN8a/+P5XkLhabjcETeV4A5H704VV+wqjyE9slDTbKbCTCcmQ/CyPxai8R9mqvuFl/Syfny73+GUSxl9XFxjURKD5fMc73xN9PT3x3a/4Lg0ELObpqRUNWK2X1yIunV+KwWESGbYrKJMAaPKdkCRMqfjrvEWgDO2RIt6QXSij4/1ySSJU87Mk92rTwKF5PALnz87EVSf2CSGsfbIsj4z16Y2AwcRuFhQRCR41+CPioYfOxTVXHzYreLNaWJGxRH36lwHB5NrdXcUO8YZD/ie5QmsNTZJM0NyjT7d3yGU0G/v3DwkGwOdm1wNliPI5f/5y3Hb7l+LRc2fi5ptvjptuvD72jg3E1PSckv6Zo3Xt9LDHxi5z+oKdQWSWzuvShbnYf9BJBql3+dJM7N1HjiX1igwCDBaMEniAuJ17dCYOHR0ph0GHcMVAzPioyQkSHrbFvv2stduoJhh7oCR+4x678UhK2HrNzs6HD4WknVp85c5747rriY0Cxk6cPzehxH7iLQH2i8vaVjs0zBo+IrSj7OPplQIG+Z46O7o0EVOGexhG4+Njzabn5uZkOPkGx7bMCzfiL+hnjPcVeY/gm/lCwtS9e1nutOxiDGFcHThkuEwqeJRInkgd3vrgPUoqLxQ3LwQ+vwuB4RgEjCrnwaHezNRGjIxbLmgM5Yyc5BIQb6bLS5vRP2gDj/6Zn1uXR8a4orw3pGhRhjxHJpVtHs+CPKp1JdHs6+0u8sabNG/8tKVXZL1VE5elrPbuUk0AvJTw5kpMHvRhqGGMYlwwmRG7RsyI0gjIW7QoZY68c8FNDGO8j4WZesvH+MyLTR8YGGa9PVf0tcv4LZzdRhjsecETJkX6G7llEwWHqppeJhcMct7Mi1zXfWxQFStkIvECoieYwLkWF/Cmmo/8ZkccY1tquLYTK0vepUU+Ljm7a3g07Qk2bvak6EWDg3rZJcsuufnFIHEkcMAXuNXhrVuxtLQho4LyjGPRpXg+3bEHedveCxhFGXZcoSNz/JAHbHN7K3qb8sVYJtHvWIlfYzODD+7uVCxQkclVvCml0+Wdq0dbB/Gk7iN5NOGsnHkeH6urHKbLc357pzPeI+MCzuwi3Yme5qHJPqUBL49f3uGLjRV0Ive2N7djdX3dOZCKXkleAJHLv+GPcZMXV978xKV4djq8rEU5jjHCS5WyAm54iSyjPm9vJQ2vQo9xs8GUzgbkHbm3Y4J4POLvPGfrJWUeOe+OGodAN9g8RR+nTMKa7VhfJSFrwiBu06dFpAcWflrWmU+8MkBS1tGxfstg8W4TT1Vdjv/E8DONHBm1qhfY7A/4xApUlw4qp98do1bB+Op+22UwZdNeyKoME1z1r3/Df4qv/dqnxHd9+7dEXRaThTYFAcZ7UCGInggT3pWf1Gm9YNaV1+MLXIVTMvjx6iYsL/XxC/jV5Jx19eRx2m7WLzU5I+od7/zNGOztjVtf8UK5wjRYRAeDAGXpA3BtXiUE05VNoEx9UQonsAeq6qoosJzgzIJhz5No1BJYK1xcnJ5ouZs08ckAWWdSkVvcdTy4WWr12w78letX63hFfzyGR47XMK7WmOwUYvnAqiJ5uhN//vH/Hnd/5YE4dOJEPOPpXxt7xnqKM9iTsg0df6dtZMo7fjzRCEuaKHEhqYys2JAXlACSaeXDlzyBfqexpuzDaehRR2WbW4rBl8OSM1ie5Z0tGYEs5eHez1gcG7YVX4Hle5Z3w0XWXYd+0suCdjbl0kXheZlkPC7yHjJsOaD/3Afgu3sMmEfVocB+zpKA4288wQJTHGnWl9u7tMszxUM0UEglOJa2GySOA49ces8YA8Nr9rfkAX6Dr/sp8fB4sgxWY4uZUr9K+RIrlDN0mUzEs+Z389p0MR7Y1m5eg40NHPqNcQG8in+iHbY145Jy8rGeEN/hj2JPqOtlFfcEf/NewjX9jJHqsuFT/fY34aHudp9X8srz1Al8WuYdz4QM0zm0TL4bW/oVTSkDIkoNmWZihrxcmv2OfPjiM/VttgU9PKXPwI9/5g20sRykZTfmxyKDBZjkRSELgg9+FKKPqJ+yQHs2cFmvMdbIQu7wS2ig5klYZAtl89ywkDTv/Et6Knpdr7WPzDXUb+IClOxDcPRv+GG6jaf54NAJy3yO5aJL1F9FNvTyn/3vfhQDBBP+eqy6z/gOCiQHVSyACEeWK8M6l3bpi2qcgV/qL9PufsSjbf4DKuO7PEboN/SFN0gAz/1HnyJnHkPgXuSZT+Ht+jmGRUN9M2rhQHt+t/aD2FhWbGjDtHru0ABX4D20wzOPUeprnLHJSXKX/ZHjx5/uI0uM+rM1zkx6C72cBlQZW0ZIvE3+68cT8GfXkpyFFbamwCAqFtxvePZz4s6v3O24hqLwTQd/zQCNsaJk/yZapDQep4CY7h5qwsxirXXye35mmSs/rfiKIBYcs05+Xlln1++Ci8tWdJol3ibsEeMpJgXcygFJk4YRLR4U5hNtVN8QbgTeJkgO9Bzk7JhTXSmbxM4/kga3h3BxoSRYrsoWTL9gSCA9SdKm4bq8IbYKtaEpboR60vOs7Rsuw4K34S/f+ZW4775zWgI8dfqmePazb4juLrtPJTsCk8YFPxhobL/G88B94yelVAanpc6KCSUsHmtQezDu5lVRwCoHD5BdcARuwjbEx8oDO92k70pXOYZDNaUY4QdvtjnZoIihwZNDE74mxZZYNrVbKTP3KfU8kYsl/Gp6S42neZFPkwrTlM+aslLGoEslXkLOOKLwFKdBDBGMRaHDFytX00E98E5ZcdsoWe5ZrrhnfWDPltvgrvqm1G3KbdkgIt7kd4Mry+cIEjjQBHxMPnED2M4CDL384tOyajwT78TZowZsqG9YhkPflYYzBkfyxX0gQx+xT37RwZg2XsaDIhX9WT7bKDD8E0hNw0KY5NhCe1JVl3mYsmADiwcEy1u+kgZV0q61lGWzRlhoDOfYMF5A4UVD/ezGCu08p6zVPLjQPt5g84Zn5nGppo9q3EJgjqmUeZfMfkEHAE/9WSbnVlhlKDR5Do1NWWlO6BaCnfAyPXTgobQjNWUbqHjUWnlq+oGXY8mywv3kNzqDi98ul/i5b3jaglOLsc58JFxTXimpePcKp5Sllo4u/AUHX+BWGTMe9+BjHpoGyaPw0BuHO7zFCQGu7jdg2lABrmRd48h0lBZNr8af52/NUEWVSs4abI7ynAHP0A3ul0ofFvSbfefnlknkBz1uHAQxNre3o11jipey0LFGygIv3VzoLOSZds5a3FJmeXBhHLDUR2Z589UY4N3O7PqJ0xP1aalqtg7T85Y7XAypNeKbn/+M6O/tiNe97s3xgff9cXz0zz8Wf/In/zd3bwIla3bUd0Zm1pJVlbW//b1udWtDAiGBBIIGhAawEWAERiBAtsYen/GARuKAMcsxzJgBe2xgwGa1PBhGLBJmtQBjDbuQaCEBkhBIQltvr/t1v1ev9jWrMqsyc87v/7+RX9brbhnmyN2j+bpfZeb33e/euHEj4saNGzfid+K3f+e34/d+n++/V4LzjRL0sOJbvlC36x99gGaK1upPYHn0lQP06CePdSf7w2cRcnwTp0Asj4bhVC1DEDCVE9OH0S74IQ7TIUKceq3JH+zjiMg9rloQB9KxyhIO7+Vq4lLdmFhLMC/qUaLarvxN8oQNZmVvTydx4hTqGDKJC8y0OOrRpidATPSsTjwpAA176S4PoxJjxUEpkSY5sWCC5+I5DE7CYMoJVMnjmoJQYnH787/8UPzcf/zNeNs73hNjY1PxFX/3S+Jv/y3yCGbQM+OWujglZ2FF/QTr9FFinnks2G/PgGt+j4CLQ6YZ1JyKQ4LC46itJbKti9m94hxmbNe41mJnu60+CKgYyD8G3zGcIVMpwJ/Lwt743dqqAkwaL40S9BBYgb8eD15dKfLRBIJzu1fwxh9OrmxlcLkPtbi5sqbfHgO2qw6HgTez3M42gTerC2fyURpli870ZuUBfwX83VzGeFu76TIFBQrUib+RlaUIcjc5cCWw+58CW2pF6bbZKuNK/IMrtoZ1qoC35MRO4MpKVrCNgT8XVfIcv5N12lVFFsbbm0cqg/DmP+jgsD3CL/1QUldZxZjoFc/KQVuhFSqHLuEZ4xEYiXkFfUHIbg6/oYqv2DZua2vPRShHRvoDjyHHpGsncbjfG04gov9eCHc5fuqTHVOGbR8emHdx4uYdylCefwkfDrb+Dq4HsbVxXGSC7+M/gq7jsfCWnGOdmbaYzOxPCI37HvWwXZMdxtH/dGBOO/NS3lYA++ERgFWKmpDZi42NXcs0oc3j4ba4wdbZsXyY3K7bxufI9fou24cqPaJo4IdUXfirmF4TD5vrBfYy4R8fD2J/vxeNGoctaLoWK48QH42LG2yTncTeruvJune2+M2cAd7xD8onvAmOepadAp170LFrzZL0UVt3FgKiup1tV2Tn/oYSTmd5YCNHX+KeOpHbJLD2xfgj9y3rfA+HetN5wopfUT7Luvb3waUQoEe7yEB989/9ffJ8OtAmt5H5+Lsl3VN392i0XVi28G6hHWQY8slzGbXU4trVrTjuVu3Cy3s7lmWUoPWNNca0UowZD7b2eCoeGTA3JE1aed/ZPFG9njJ9wAP8gR/4FliEJlGlZTgyu7pqce3aTYXq8b3TY1eVe+K+ocuV1tDd6T+MrC9DQoTp3veBe+NNb35zjE80Y+P3d6Jfr8UhkZbJH1Ubi3p/EE+5/RmxsDAnhLheVfQ36I1hqQRO9X51L6szYZoJ895H/yw8MRRmJs6P/o6IQUqF92wTX+BkY2MvLk3jC8LE0Y/Dg0Y0ZovlRhGf7cNEC1KqavZhUk4krX753deJBYgI4chpMBLuegLmPfxF2nH2wlSZZpgguo5/UgQzkxMrTDRzw0KU652YJYeXBzVOuoPoTTjPVA45k+D0NKtsFqdW8IJYO1oleJ+6xsk0ocjC/M//8oPxkQceiPH6ZHz2Z3+GHHdbM/VYWrS/DkyMoPJpIjoFY1uwWeEgeOIgYgJhzj/3sXvcC86d+ELI8m24HJHiMzvnSYY+Wbnz6snvIDyOhnmfiCqOwpdJhSnDZOBj5WZO7ikAIKulIlDqDcbSgiBpi0BvxL3RpSjLRG/mF5jB98AOl4l7BXmUUKjmIwvQpAO2BHPF7jrc1xT+FnpSQMrqlj6Pc0BA0gd1AwUFRRnhDmzmlZNj6kga5FDBZOxL8XKMF3yAUIIH+LuVi8MFy4P01WFl75xmbIdxQYPeKuW7/xlefhhWxmNs/CQaitNixcFBAe3QwuTDAYJclYK/buc4jo7IXeVTe0Saxy+LJJ+V/GCCwI+DMbNwZoJLWgIO6mQocDrngh+83QHd8R7bRokTbxuyteGLFxverh0uhsrCRlsDLoVzfpcTlMph53vDOGyGTHSNpYqAiU6VwclV4IfHcILF6fww5hbgb+MWXxC2fPOUHAph8d9VI+De8a18ACHf89hgLbYIV+w2v6G/8NhgIi0qxhFOzfzHxd/cegMSxhU6z9NtyDPadp41y1reAxa9r2q8VerastKaop1PjlimkAkEp7RFA/qDr701DBRaFBYLsiovPlg10YFtiPQPp+HkMT5x3hdN6CVOOkZM4IytC0UGxYUTiLYyoRgfHdZiYoIyvOtE65OTLXToYiUkijrtwB+UgX7os8y16ioLCnwwLR+I6VTXYQPLMss1jSk+Qbpon+3YgmhO2/V4Bl65aVi96E3+KiPNwEC7UmAHpX/5LjUk/1vW4FDOwaMyzKV9npknqQtlhyTYjC/lcHQ3pF5MQzu9Hgjhrhcix6eirLOIP1GkfqXnAn6glCXefAW8PQXHhY5s5ebgkXcoLMep33OB2wEc+GEUeAwQnPodwjLs0ZPz5ZQPU/ouJXBCKHANIr79O78/zlw8G6/+un8QM5MoSdB8TZGcTTgWnCKKYV8sFIY/h188PIUkyt28VxHMsHj5khPYrffz9xDevMFwjwD0WM8pOlpm5FUDgtf/YBD//idfH7PTrfgHf/8rCqGhuPikA0TPvvLOVldHyS38K7f5VAAAIABJREFUiCZ8rFMvyGbAGAw47VWLicniy3DKmdb955QQzpo+korF6kTHadPpk1J7CN1WckVdq02OgY+Nu15p7phHlfDRypScdjNhIuELiqO4k4ZaMdGpJI50FiTsH3UC30ACDN5YWY13vfMDcWNtNZ73nOfE857z9GjNT8dh9yjqQSJZBPpAp1oYVwteo5Aj9RzvB8/Alk6INMNv7nPPzGRGRrhz2lDDN+AI935J/GqaUjJhBeOrlCgm/nQmh2a3tndiYXGuTE0Rm5tbsbi4KEdfmf9rnMpql5AAxj8n/RYWRkNjDAKrkwMMMo45GQK9MXVwcFgcy2F2hE5dp+zm50mQbP7Z3tqOhcWqXiZGsncTdJGLfnqSpU4LKcWcGt3jV0lqlOTVygsHUPs1WPhyTBon1nSpkKJTFB/ew2Ga03SVI6wVS5Jv4peVp3UIdaEI6uoj0YGPR8I+0E+EGDwPvLaCEmTReojh87Fv+mY8EX6C4+dScPReP/o9HFDpmOvqHEZMDh151WHxGzRi+vE4uXze82Rcl6LoI9YpmF2D/zIxN9jilkMzynTKJ5S5DCtQlArmEpxlcwtakwvH2/0cWFgt89nrd7TFDH6RMXomFCSsCR+LB95hm7f4/rDSLnG/9K7QycuGTdWIT6pJRs/ygbpGO/zzO/7ucan6P/qCv5sPKQH/Yw0gma+VV49pvySIFQAiUnBoeWYlUMfNlTCXvttygcKKb7z7w4kqtvKtMIBGFgsN/F/kyWU/SazWDTkdcz+30Ub7w3so8+4rfFgpzfTV80/VX1s5rAnRG6zKlXyEbuXTWBRxK3C0l23mJzVC7/mMT+PaPMu4FD4AjSw8eY6PqPpomWC4tCrWMyuP+GPZZ9V0Qynqs+KSsjH7VFot28iGD3yK3gRf0sBo36t7rteLRuhYuGE7T/HFqnJuL/vJffBrfyqRPbd0MU48U8cr2rceVt5hFZ8vGC7ecYiQHDcmSGRP8g+VG9/iL/lucY/y2V99fcL/nPJhEi1qYgeO7CS+XLVojNfi2U+/I1rlhJdKKIp1YQyBjmmaLTVPwI/fGw/26efVPQbl/81lwnn8N/9rzx/1ZgEEcLBEONs2BK1RG55kwyGTCWR+0adSLFQ4Qu0TAbQLQ0SMx2TzNGPbKkTL7jSnWJJwGAPiW02ImHgfAq3FHPF9xCgwVs+Rj1W/x4LaxKzlHr4nOpY5FCpEnm2UuDPuNcypEwzFr0QC6KQX733fffGu9/1ljE/OxlNuvy2+9vPuiuUllB/xfUxPTgomUQsrUmIYqR3qtZB3PCLKu++eVE1fOSYcM8WylpYeRZWWpQvcDoIj7mZaMyjHvBOGUq1CLwgxYLNOxvN5WVNQJMHv0pIjXiOsbHGo6USGx8bwprKkXwV/VpY06OoDsZqqk0IcCydiMoysmV8KwfCkXVk5LyxWJ9lctlaUJfDgFSZpDggnIB+OMtZMrIbP5Uwn/u7s38BVTTGTJbq8V66s+urRPjwo8NZjPE+BqW9+16c2+W6fDcUnKgJLHwMiQKeoYEztQ5GwUFV9zDgt1CT8TsinFFhtCUEB5soJAQHIOKFADQZjspgd99rRjJakT44vNFLxUPIP9Ro3iU9NMEyLktHgBAixVp4oNUiOEzA45lLCQjRk6CrfIPYMioy32u0bpAE2TYOUYiEWFLXKWmd6zhnD+JW84FYJCSDLDkBQB1kC1CVbF0+6RLLuxYROjJWJWooZhTxhCIkaP2HT8ki40BP1OvsiDCjlRD+OO8cjEbWLtVnjwXtkqHdEc8aH91goqe+kvNDQoSyNjgWxegwDf7EwMAaprNr6hZJsfJiOUXpQIN03ZZWoociW0O6F7tdv7sWZ8yVydJmYrOqahpLPaTeVId2jrHCTPntWQGry2cnTXbxVOY/rh6wgppfTfn2MsJW7jOzvt+224PFuKMyIYrGpXvpnJdmIwyHbDvGGjaf0twxVkZOMOzhk/oBm2HKH75KmJBvhNcnF5CU+SYdCfeYH4BRvqAHPCbolnNe1bTepk4LFD7e0n+Pj/mFlS0uocQDAKVdyjlMXxL+cPO3G8plJbXHLattjYcY4F96SGc91eNHk+HqOW+gyjoEFL5gdNzcOY3KKkBMZ74wWn7xrhAMRHtUg5HdAg1A/7/M/O977vvd6ohkKaIbQDGDCgMGQA09upz5W6BztBfmplJvIttsi5JMYLewgWMXysEYg3sDMmrJNBIlCWbaiQDdHk/M5yMOnQ8K6EKf2iUcAoSyxSeAFEzhxNvAVYeyqfzvb7JEj3AiC5qPuCGgTqo+k2/TvMWfm2m93Cg/X4/ioH//5N/8o/vTP3xMXz90WX/5Fnxd/+8WfGge7JLOFmGFO1+8EqqYU2sSnxPTjujm+DJ2wonVfKzhTOJupoDQLV0/KfIdEG7Gxhm+OcUc/iNvklVEKc46tgweTNO08ePWGYsmALHB97aEbiokiqpWjfcTNFZI9JoJr8fDD18tkaNh5dP0RfJRy9VOPq/ffVD/AJfBff2Td3C3M0L59lniXNA4oZ9ceul7IkomPqxYrN1b9nrpci9m5+bJVx/MR1hya7Q2TYOkTlwiccI/s0+bfjQ3uVe9evboSYw2sWNBoPTY3t4tAzgmFUBGlnr59SHZ37P8mMNV2XSEBjCbT0+oKvl/uG2NNkEqsRQkPGF0ngSo9xJmzf6ItFHCd6OZ7lz0EweuJ9mDX06KFcyWTeMfjBg3QPyvBgqFIV+CgXW8fgHVoFNo/jump3J4O+R62DzxhS9kmOfJm+o/QZsTeNhZiLCY+hk2MJvlbqS1BEqs3iEJJ/6xAwfumcdMAg7J6A98voAK2QaxdP472vl7S2HcOsc7RJ/DioH47mzzH5Ij1Ad8P+IwUElkvMOZ3lG3zonFPtdCqJ0/wr1hhN/eiSXBfYQiQcAdgnH2Ki4lqc4Mcg2WyKmEViCGE0oTVCF7Ev4p3wTV9vf4woTqAD7qGweuxuwNeaB/rccTulmMPqa1eyMXg+iNbwhsWt0GPeFVOeHvc5RQfMJ8o2Sw4PTpoaBtvY+NI1iqeg9L9PXDLWHihYllp2oDv7D/Kb/dX1j1FZMcvzBM3SonGRnn0iI80UGwryS/hMRSXCSUECxzv7ZOvjXbryG/7i+1s2bdINEOKpbUDpQ/CxQL6eOTaVnDMnotAkdvbe7EtGU3oGNdL6JT0eaMeFJCtzT3NKWw3bqwex8rKlixt9I2yB3soXxNx3AE+4kzBT2zrsvUJDeOrSqu12No8VAJjcr5Cb91uLVZX9uKBezdK8uma8pbiv3R0SHgZ+6Me7BFCBzcElDn6exz4mBLvjHF44P6HRUfsJPCbgJXQ5+ZGOwh0DL1sru+LD3d3jjW/kQR9b7cT+KER15B6Sc69emNX9eInRhy0qw/eK6u4EPf/gT+mpscBBKIR4cQgPvnZz4oH7n0ofuRHXxdvf/u74t6P3Bcf/MA98f733hPv+8uPxF+978OK1SJRkvPP49T78XI7pycopzE2HpvbW9qfZ2sBDfvhq5vCD1tvJCO89tCmcIDDKbEstjfbCvAGAbPvzXv4DUFAa6vbCp4mxlOQsY6eE+yRjNO0jVMsfh4SDLCBmJp4F2Ty9tgo7sbEuIgOOEmuyiWTa9l6gLHlJI1ChK/CcS8a4xNx9epVEboNQoN45NqN+NBfPRC/9Mu/Hj/xU78QR93D+IwXviBe/KJPi3MX5tTm3MKEGFZJEY9P5ACNEzF+PFjhcD5l31nOuZ2utguBl8mCOEIkPSVQHrAyWYILAuk5Ea2zsBMSYW3Vztc4t6KAtZUs1X4VBPDDH4TtNITy5sau6oLhwLWTCkdMT08plhQTMvgnGi3Zr4Hl4MDJcBGY6c9CDKbWzKwsMsQqWl9bi47ax3n8KFCa2eK6cHFZbTCW+3v7ekb8rIP9g9ja2goC9qUD/cHBru5jlaLfRFze2KAME5gDT7YP29rm2NvbESx7e7uqV468g4id3W3hbm9/RxMQuGsfOjO4kqGScbzdVp1E+gX3Hodu3P6U8yUpM86qe/JJSUfdw5IXELrStgOKwu6BfOEIBoiQxVGYy8lqPWb4sbD1STJUfHsQoND7gZyg7VSKEg1+8LOiPZyqcTImWzyTAb48tAtOmBwZYyJpk+MQXycCWkIT0AZX0gnwEGCUcSAyOgE7jQPiFR3JEXZzA3oiPx4+UoeKg2ZH6ojdnT0F4yMOk+ot9EIsGOJP4WdBsE6Csu8xIfTxK+Qkj2MQEXMHWAgyO7cwKViBl9/wBPREf1Dm2ebDcgqOmPgJCrjf3td4sFBiC5k+93pO/Ase8ctpzTnQLAH7qI9t1GwTmCnHdi4XeMKXiq1kZAa0z3vQpRUo8H8Qi8stRRBn8iYGGI7Y4A35vre7J/oj2CX10hb18v7aGosFgge2FaEcmLk0HvsHoo92G16qxc2bm2ry8HBX+RbhJ8mskuSaSR9aJxcjup/61D2KznE39tse536/G93OUTQnW4FPG74yR4f7kruHnSPRB/23TD0OfGiACTmIHAYAZJysioomjczo6X2CO1JOQNbw/zuO9iH5J+EoB89sjPEJbP04PvHhAngfOc0WNSfVoHu2lFAKG3Uib0+Il1EOMyI41tQx8oJKwR7E1HRNscBgYG11D+oxNeXtTwx5RLaeGG+K91CyqGdubkqWdeQTuxsEJObUGVVSByq4cB9sJxeLoDYECcDKKPVjsliU6SFxyCYnCNbp/o2P1WJxaVpbysrUQNLdiVocn7QjXTknJicdCFN49S7LxPi4rKCO8zWIS5cviSbOX1wQDc4vkDkB6xEuB1PCwdzCjGAi5hi4ZceAuIHgCUW+Ue8Lj70BEeBnYnqqGXPzU9GcnC5+TaYXNfQk/jnlw3QrHHSaAYc2vu/7fyh+9Y3/xT4HfaJeY42ol/3afjSbY/GG1/9UfOInPrMI9Vtr+/j7nf1nT/oH/+3/Gbdfvhxf89Vfqo4gIAgWp7QHIpNBrFw/iDNnZ0QEFOIEBoRocz/ijFUdjqPpUFh3GhEFxzN+WCUcdYg+XZxwBxE3b64rCnZikMnGiTM9PkxKOBGOT1TbJkTBJTGjx68fJ91+jBHoTitZjykMZYauK4rxm37r92Jjczuu3HY5PuV5z43pZjPOX5h3oslitSDQ5sIiju7UgfJGNFmccg0dwgxaAD/ZFgoTUX0pAy1l8DuvubmJX1YGCXQ9TNwwjrHGRE5EaByXvWJDqB112Bpz6gZWxkw+RN3Na32NyNnN4cqaldbRYcLiFTjKhX2A3B9+VzFUzKQ+Ol06GLW495774+nPuNOCl1OBRE4vvki0ze/pqemy3eR6OeE2Pz+vthAYKI/z8xmY0xCvr6/GmTNnSr2OFj872xKeKTEMqqltB+7UYmtrW4l8hUQFMGwrMrdrREk9kBK9dGZeQp9yw3pUqObgkAg2sK14LqYrtVAGlrHOC5ohmCc+WnynCAq5fc7KdjyWUAXZY/VvC8vW5q4i4rseggZ68SCfq1pDDsUodd4W9TsoTA5KafwDB4qUA656m4oJbGrKhyLoAwoaUegzvcXuLspDX75qbrumyTWDX9Jn3G+YyDPDPeVQeiveZb2QNOAJp610Ht52pzzPR/HEPRYwmTaEZyhRGRwTvFgeVDTL5MyCiy1dtccCp+MI4IlHPs1nk/LDwfrDgm3YHx1w6MY4QQ/VYafmYaHApAkcdEUBSpUQNfuFQnxcHL31ohYAJIoWv+u0WkcLET+Fn7rybbPFq6KRfG6csIhjbc5zHIrxi7TCwbjgYMxYJf6QHQTnPXuewwy2HrVpZ3JCCgqwAD+Ryb0lSGv4SvWVtgv+gg60mBwGSjRsnQ5BEJMm6yrDmAvXZQyT35PkLROQF+6V8Zc48z1ojC054KJ9+uvvPMc8ilnM22u8b7lDP2yJUylZrdDW+IUf5EFJb+U2aB+Z6gLQmvHA02zLsFGm0CJgYgGUacRj4G0vl1E5n8sYjo+sjNSgWG2lLrkxnO6zoar+YjVbkOtE1p3PRn9X33O8Db/hTflLP7h0UvuE4KjVwZYcq6z9ifx8DIWp6lACzQBhziSXD/91OWqOybhsa8CVE41aTCr2D++bIJ/Mjn2skAgO+O9Hfvyn4tyZ5fh7X/uyUjVMAQHR3xQG+VtUWsrx3fdF8HznfwlXKyzJiMkIo7DnGFS4pD23aYXEpuXqud+24LMCBfzpK+B9eODBd6IRneNOfPBD98UfvuUd8fRnPC0+98UvjNmZqahjYk/fhRG/AOCBOYd9Kt/yt1t3f2+95z4DO5fxZ4Hh7YjTfaCOCsfZJkKC+xKKxWeoVKhVorct8k71aYGScAED3x//qtoDBi76jY9Gwl9uf7SPbO5RZR7dvvBadhctCBEgTDQpVK3EnG5/tJ5yigfaKL4Cxnc2XsqOKFumI54bFyqvbZWPjhuPS0461JtwPNZ7CXfCQXPeujH95n3eLb5leWvk8zTt+IEcZzVpJPzcNz9kCX/yvILTY5sTlds1DvieZV2X8c+7VrBd3+m/nvw0Iw0n/apEmY2oYoingi+NBeObMCe9Jwwjn0Me5B5Xfpafj/pgdjWe/SjryneL3DiV3FRADuuG1uwvk3AVuOmJttvcZ9efz07XcStYjnsFoUPbnPCj7qwn361gdD8pU+aUgsXqvvEwpI+RPvuetwUxaklpkPygftqnTq5sN3HEZ8LFs5TvXkBRb15uA0uUrUXcz3atxbikcCkFhN/U6TZS/umugkDShmrRZzbFZ/o2VWOf9VAeyxlwVrC5pVHfQt9RuSE9Je5TqQU8TFjJo0Xx4tXHuYb9lU5AISY4zFjFB26Ic54hDypektzLTp6q3/jJRZcXc4ZlFP+nXnkCfiS2hk1ZOx7+9JcBx5N70ZzkXy0WZiZitjUec616zE7XY26qoZNfKmyqLJPqLfV83P20sIcAhqbcYR/sr2QCNeGyJWAfABPt4aFjVXiAOX6K0glh+jKhVd+pC/O62yqM1ydxo83vroe6zRhWHnws10yW8CbTUTem25qcXvlUzJdBX6fO3vb2d8cP/+h/iL/64IfjFa94WfydL35RLMyQccryAljEuyMEn+0UqLWyhZHzwpyMsma8cNeh9vM5vJQCYXiPUoVp8lPH/WFq1YAFzPvjKWxYKfpYN+8i3PBDGY3hEbG+tlXMuUwOnLTbjmMFa6mECtaJbJM62Obhonz2a2eH7cFklZpO21Em38Niw/f8xwqVLQ0xuWqLWF11HCa/xxZhZ9gW97QtiK5jhEsx42RjChfqNl4ZY96ALjollhMv1aQUH+BfIaGJcMF/x/2xoHK6Dx/3L7gt1iJqZOJnwNnGyr4ZXiwyR0OexmfkUFs2rgPcYDnxxcwEzWFhwleCb8Y3W5W6pNDhp0IZjx334R1yH/KO8VBg0rNsqxoXlGPKKoxDGTN4AktWvk/bbOuKVwre8OkhNAeXcYnvoH+bvmiL8BhMQijnzoGmF/SOBTf9M17dP4Q//0YvhceQ4us6sUoPaWlg/5fhKwVXp/EG7jvFOmi+F00UnuNdcMDYGdduXf0dsGAy/g2rlW+XAE/bqtc4cPqbDH9BGdGXtv7cP+qyv2Sh12L1zP6679Bp4tY8kb8px6kw8q+BA3ucEQYCixlx7sCR4cX65e/QBzLkUBZkYxce6Ef7oMI1bVNP+jPRluSoZJfxJkWgKEdySI9eifFTnqsjzsE2HCO5Enj7lsfIcPCSl/vMXGD6T1xKdgg8w0j/KtqA/owDj737jNUwZTr1d0s8NL57nOuSt/7N1vcgiG2mq9AO7VjuFFop+QONS0raumpcUCbixvX1Ei0fWsLyy46Fecsw9+0GwttFJqfshf5dpqacm1r0SBmrx/7uSfSOqzHiHeqXnFHL9MvPk3Yr3HK/Fg9evaYYfDJblB2v8uqT8mGMnWq60v7y9qBWi9/4tTfFt37zt8T/9s//l/hn3/bt8e3f/C3xmq/7+viWb/7mePVrXh3/9Jv+Sdxcuakwoe58MlnW8vH4acEID081mzalI6A0sbF/zCSSzMbRa+eMS+vHUE5Kq7amkIyF9QBaIWxAEguf8oE4ScvTQAoO/h2Uhbj4h7LgFZBxyiJN8Swk3E2AOOFSn6cuTgp5YuKEOVt8P/tzvxjveOefxCd90rPj733NV8SFc/MlBxvjjwm3IX8Bn7hgknJb+OlIYBez9/bWftnS4jnMaNO5+2Six59jeJVJQgxcblN2bdWO08lADz10zYtP2ffswEg55AKWhUZjImhbE5oYuSb/CD0vjMX+91Hx9eD+3Byn5gyJ6opaNJs+1i/oa5xcY7vRk5Bj3dT0nuQRD9hS1ORa9YmwAqfG56ijLbmsh08pgHwpisnm5ma0Ws5ZZ1xFPPywnSeFGxTAHZyxU6gMlCxXv7WVGtqG8nYTsLCqQ1HD58g0wCdbO9ev39AEBYytmVZsbOJ7Z7rlHr4rCMLs41STU3+uI2GbHLnHoQ7jjTJ+D2XHl/HC0XEFyCu+DzyzX00pVbNPlRVWv9vtdLQ4oO1sl63L0QuwCOiZsFLOSqEnZ56zhdWWT4yJli0I/HaYTIGYccU3yZMifGIHYXyV3G+Vku8QVkVwS9iOHJeEjyP4vJs+cHmCDJgSfraJfdEnTlOdVupx0vdYuHYUaWKm0Q/6CK3v7u0P66Ne2j888sEKlRmQg2tP940X4rBtlLHxeOALubq6Ucp43DJ+mNuykop/mOinRly3sbjnnnvKO+4T/lFcfmegZM4qzzRdBoWk0C5jeTXu45LD51iWgMrKQcPKkk5Xp8UnYm3VPlQeo5qScPf6bJ1ZgcJSZdlJX7gI7+DxTvxXijS4dzkvKAyXwJVCZXyoFjl3owjnhexkojce6Wv6iboE7zbkt+ixMb96TL07oXI4kJd5QHWBQKA2EPqOLxwXY859/B75zH/4HukQUakH1wF8F10FuLHiNnroynDYFYPv/mc/KDUGVH1OqAJLzv31coAj8UL0bdwu/Jv2pPy4giF82zp0w01whWJJf6oxhW7xPUwXCBS79FEsVd3y4VPXlk3wq8ftlkJP6M90elGjDOjwyq9aLdbiw/dfi7/44MMxMT4hM+3EWF1+TAe712Pv8DDIyL530InzFV0Zb8MKP/6+pGBkMdc5PnRyQgkxVkoEUkPAJpPiu7Ibs3McHzfhEWiNoHtGZfmrD4kLM0XnqLLOlXQjEKfrhQGOlek9+ZXPfObv5I3rxPg4flHVvvnu/k7ML52TXQTeZCU/PnESb3nL2+NDH7o/Ll+5I1746c+NK5fO2nQvgXMSjQbMBGGaUcEBSolO/cra1Y1Z+X/7RBv0wAko4tuIOYfxhCQNlC8LawtxpJK+YBpvF3iSp62pKQdWTCpBmVB9w607O2+qjwRfO2gr1hNWBoEoh0VvmSWOaNdJZj3JbG/vin7NeG6JiQY/IYQSfd3dxTdnYWSSwDJF8t0MyOokuJevnC8C33GuciyoFXhwbp2Zsb8I92wdcpsIjOnpmdjc2IjlM0vDtlqtuVPbfrOzs8NnMJPDCKA5WxE+2N8X7KpV4SDwl4MOUKgRMPjZtWN+jvhPpj+czScmpkvMJ8aYt02vFpgR++12zExbkRQPyPn7oATvdPsIutk5nDvdX+iUtiXcaLvg0z32xCAFETAUGbsh3ySUKtMYq3efwvE7nhgnRiZbyvGvOdkcHks37TgmGbDQH/ybxsdJRGslAOuYfJx0JNvWmF4PK0ihHaYoHek2/OAN5+uKD0NOw/ZtUwcEIqt5pX4onRQdCs+VwocPXcLFyprj83xKaRtELC8tFvo1XxMO5OiEhRi+USx36jHWcALjHEPqox5v2aLs4UNaKSn0m8UBV+K2MVYf+tkZThyUq3AIlAUHHIwoL0a3exR3POUO4TEtWApOWFDAxM7iYXoGXFvppT3eY9xMW+CSJLI4+0KX4B/cszBhjHvyQ+riEzuYUH+pnrAi2V+2m0hgLqmJgqMVK0fWeSfHwyEPpJRISTfN0V7FmzkBM+7IE7aMgKG0BS2r7TErLWrR9GRYJXylSFKv+Axl+4Q+pMwWQxXrWWVjJoyF4acFx7bjU/DTpajFVNO4z21QwqFYVrovzCfEt3OtEHsvzpydE6zJwygoPGdsXD/jyjxlpcljb/muAnABtCRlxHfADbF4JUqEaxKmd4JFE7TFxQKCKN1VupZ+ScIMz5l3xwmcypZvkT1agJb3ky6Rg8ZlQkPp3Eas6QDRZJO5A6X1b+gSUVX5Mft2yocpO0rtJjIY38KUex4EM3F2cmV1I773e78/nvm0p8Y3vOZVQg1my/8/XQRV+9F/9x/i8qWL8fKXvbQwema6duwgCO50cD9Hzp1sTohekCcIHVa7lWOphbcISfMQhNaIvhxFK81cgd/GwGkyAcKBPXMzH0jnG8TMuPUGbAVGjJXwBtevr8Z7/vz98cBD12J5+UJ80Us+O+YWpqOhI7Ywnme9JEhPNGIh+zCUdviQ0NcRClOEFSszCDRhh0KEp2HlHnBCE2JkKhGwppBsCxO28KDbqbBRh1cW1Gc/Ab8PdFzus5n0dB2jNFjwVASgAdDbomkJKE22yeyqWnUDOyDTzlBoWvRVjM5znfrhvcSFLQrcsTUxlZMKLu7DX8aBhSfKVI4r/Gj5wjv8M+ISZ9kP4bdMWG7PVhONa78KjOg6Er4KjuT1qg3VMsS9/MJwBldKmVyd5jYQZbMuJkRgTNrNsePe6FgyQ5SVB69rxUy/nWCWkzIoDu6yJ2IVG1EE3efEicfX/XCb4AgFwBYiPzetuiaX9bgmvgW7xpLFAJNMbhtRZ8Jffdpi5ckIkWeOKfJRPEVbOWGjGPI9cWI4qr+mPfkYlrE2PWd598G8yj2uxHv5qY9RXNOe+Y9HnojAi61sBcF6wjPHbnP/qkkr27Gy47GiXcOrBcsoQw8MrTQBAAAgAElEQVRhyPdsLSkiZARm4DQXuxf0iW8csck5pvSZD/ArXYky5b6+8t348HuuTWDoD/3hogyWI54nfRYyVHXwuftuS0riuLwu2sO+AB64wC1jmjaHAiTQwSfFmiNxJ4spddO2gK7CNxTZO/rMdSf9jsLBu94itpxg+5sG+UPVnPDzotl04vIWIhW/WZ4lXhhHv2tFjHekwdGRMv/TpiOaJ+qNB9MX5c1D6a/H/VGljHpUncEsOkV1L3GXsladUV+tf5Ru6u2UxeXHE/wxOhpCFAzGP0A0sxmxXjmCUogtkT+IC2eX4wd/8PvjD+9+e9z/4DVNvpUAeoJ789+oOYThyTHHlNNUC36IqOwTMqlI+re4T5BIWQJbxdkPfKayJMEpoipAg3cSj1JeCgn12EeCQHC0aKa3JafCsaPrmsktbOrEQOmR32gzfutNb43//Bu/G8f9enzpS18Sr/ial8TifCsaGkfaKApMsTIUaPRBm24HUYTg8wkykUcRkkkrJukMfQ9R05NkSjczrFudoW/Vc5vP7f9COZnbh4LNofot0IDYQhjljXu+n0wL3dK2BRtbQxaw7qu3B+mPx6kSEvR1tCxAmgc8x9GOhQsnmdwG/QQ2b6+6Hfx5TCdEdncf0/fAQhn8serWan2EBna2qzx24ICtJbcDLIQK8BH/qj/2z/EYGLsKqaAFy3CG0VH6Ie4DRT/9dco7ZYuxGkvuWzTQPiZ+Cdlg5e2+QhdWcI0n0wnv+D3Tg3HsVsbk0+T73PFJIT7VBhHge7bMNQhgCtIHVQ4u19HQ1gEretOg6cz+U1XbWFM9KXhiZJvY245uF1zia0fbSTtsMUBXTNXCb39MIT0Yc7/lz+I5LNowDRFVnRU9FzHpgAOecnn5sugZK/z+cGvceGDbwpYuv+6tJ7bPVFdZ8LgO6gMnrLLBCy1Cn9AfGQG8neN6x+R/BW27f/gndbRdznMnyx2cegdliXoyPUdabgnzoP5YMpUj6eYD6mIxqZ7ngPgXkJX7KMLVZAnuCTsCrfk/W8gYexQN1RV1xe1xX6jHfkNiT5Xwn8MDyvMcGNgCxgfP8HDPW46mC8tH8JJKvT+xPqpN6fAoyPZvG0Tic9QXj3fwO4N2aNeLVqxAxCRKOAjAi5wxKMgqYCrzpt7jRJ/lU8GS6jNfur8sHvBRcp1ASGwl/pn2oVXinrX3E06QnIstFh7IUsNpsQZPuM0q/h646cc2McikaPHb1nBZtmidBSOZIcg/B5QGWBYoaFwQagrpx/5eCZBVlLpRv0ZwYXlNjzxG1G2fOehYtXt7Nsd0AB0cyn9SybEFwZP7xxh6LBhOETmd9ECaUAq9uI8SqMSzWFGC0YLRx6rz4+yeJwEDXa9NKIwAg02QrUF/PHa2TawQJEJsdXVPx6sRcLy7t3soAY/Q4h4rOztf+lMThOLd2BEO8l7b2ItDJXeEwBpykLx5c6sQpus90DsQLxYdkszuCTYwjwDe3jmIn/zJn4+ffcN/ir3OUXztK78qPvPTXhAXzy2LAYkhgnAhfhHj6a1/jqCnw7MnM5Iwso9OGU8E9Xjk4dVTApA8d8Q/QWkAL0zqOGyK0RQ8rqckpmARoY2Phh0Tx8qkZYfa9KdgckP4E2uJyZl3ON5NMLSkPbba1td3hv5fOHejXKyu2OcH53s4cG2NuD+MkQPura/tKxEr9RwVJ9+1m7tFJjnm0MbanpIFA+e1a9fkp3b1/htyhLR/UD1Wb27F3u6+HGBJRnr9+poEJs7fbFXt7hzEyg1gGdMRfu7duLEeJNwEx488cl2hIzg2fLB3JGd08IMPhuhmby92d3cl8KEbHNHxfSHJp8QNAeUO2gpciWJJf/B3unlzzYlCB4Qg2BbsxBviyD9ldvd2RSsHSoZsXyAEJjHBfBGfqq1YTPvytXHbnIglfhVjTMwthOe991yTsEM5JHEycagIVMdpWhILY8J/8IF1bUUqTs5RX4H7eB/fhr0dYgwRJ4m4RTiVdhQmYnsDXvGRd3z1kl9QcAg1QdvgCUsm7wC7HYRx1u2KFldXjDsrAMexvr6v7T76CP63NzuxqcTA+D8dyMmdunBQ7XahT2JDDeQjB48RxgMr70NX1+RYDM5RLK4/vC+c8B06pW/bW4RxcEgRPtduEDOMOGzHCjOys3WiT/rFPyY86gOPJPNmoiKQKDCojOKwmfbhRfqPT41yeQ2IsUTsJ3BKrCCHGxB85AtkMdE3nvZ2uoo0ToyotdXNIG1NKuAok/AuQQxFZ9GTLxx1HigoLj5STlZM6iZwwsW9Rx5eD3gAuiUoKtfKyrr8H8EFYwnvUi+KEv6Ye7vHcf99DyshOD54BDCEX7AGEhLCCm5f/aI8fl6496ze3FWsLcqjLOztOoAk+TiREVgUucCb8ZTb5WwLooBwcstT3tGR6aXdxq/GDu8koD048Lu1INYQEzuO7m0pqvg/OsBiW/TBs87RQNu1yAt4E4UMxW9NgXYZdyKsR9z3kRuxzr1aLxwIcj/W1zicgI+U54brj6yV+QM+68eN6w7iyPYwv1FISGiNIkV/aJu6GA4SGDvGHfKgEcfdMdEheOJ9QjcQMFV8s2d5QDy0A9UJfpkHfB/+cfLdmgJj4g/b6Ugris4h22TA0rHyWWgOhXtzzcq/AntGLTbXkRU2v3OAZXNjP0h9hFKKczfO/8gMnkE/HMRgbKkbWUnsvS3FPmRRlXqF50DGmXee6CvtiacaBxAA5D9g4vc6gunQDr44Z9YbYwpktnp9PX7p134ztrb2dCxdqtXQ5JadfKK79TFqbzhI3nKZmmqKuWRBKIJofgHGgq+IsdKNemNOgejoOffhYSxECC8TtnN9YU1CSZCVoWjcLAq6hycxM40/gt9B2BJgLUkDBoMBCKznmd7B1HAuff/7PxBve8efxaA+GVcuXY6v/O8+Lc6fOyPYNuQozjsIDGrrDeOpMM7cSgdv4GTVfHJ8FOOKWcJ76lFBbBJwLTrdo2hOTckJm0q0Cqr1Y5p0EfVaYO2y4MFnAsuBT9GgeOJUCo5YzcoZvkloCu/jr63tyf+oyf61slpzcss+QThmd7s7ElRYIhYWF4RjbwX3FUZfK7JeNxoN+7cQQG1/bzsaShZN2pqmukScLBQzfhDoksm+1bL/x5UrV9Tf2dkZp6hR2heCBR7EbbdfipqO3jom0dx8cR6Xv9hujBcn6rk5+z4xSWU+PWKVaHIZ9GJ+gaTFftcn+KI40jK5O5Bl+jLlCT6Awj+q12NyRkhFLCzgOxfx0IOPqC/y3Ro0pFTkiZa52bnY3totcabSYdd0Cb4QtMSTYnIDX+CE34wV1lJ8eKanWSkPYn5uTrFz2BrG+bnTOYj5+Wn5us20pjSu480xxQZj3AeKAt6LqWnTAHKFCPAYFZrNWsy0CAJJShCsaoOYnHJk6zzNhg/I2Bx9hs86oqWZ1oRy+KEIAitxiDxnoixwshdaJ0DgpCYD6Jrk4NRBGhquVstpflAGSbw8Nu4kt91D0wN9nZ2dkmXo9jvO6h1wgUxcWp4sPn/wOPATC8n1zcinZRCthbrqnWzUYzA+Hrs7m7HYXJKhCnigIeJQwV74jDCJEdcMX5XcKtaiZQCeHL9N/NSzJXWm5cXWCT5ZNfjHVu+eYu9gMYmgDHyK1WRsbCbOnDWtdI9Z2MzG9EyBeZaUSZPamiP2FZZUL5ShSdOocumViYq4Q1zwB31ZWnJcsYX52ZiYnCgWeAJxjg99vSaiEe32bjz1abcJh7A7ymT6h8Ej4LzeOCjpeKDBidjb74i+pobppmiZyXigwIr6hQWlNjA+sX7J6Zj5qz/0Ez3c7kVzClzaYR9awyiYeMPX67ANjVoGokQI7zjBD1P7VDK9OYX12BYzaK3ZxAoYceascTE5CQ3W4spTzkRzEj+niJlZEirXFVcOOhpTWp6IpeX5wIWMMvSTJMFz88gv0zH3J5vTCi4J0IcHx6EUJwMSCtfJPBwo5MDeGOe0HLQBOFj+6zEzl1ZnlLtmTJF4fdBQPDUU6QkdcBjE8tk59Yl2Z2Z5pxF7u1ZGJ5r0FR/F8SDYK7U772kvmtP87kdrFhlO5gKsmRSx/yV+rgTG5IInp6edGoWxZ14gkOVxtxOtWfps5W2s0YhxInuKkm0kKOSnd1TZE/jnlA8T7TKAXJVG5wH8xn/yHfGHb/0jrcyPO3sxP7cs036tP4jx2an44i/+gvjef/XdGtonEP4npCkE1A/92GvjyqWL8TVf9bKhSZGw85ljC+v52tpGnDmzLNzBpKz8JpoIPjur6V6nF03liYJwHFiQXGXGO9ppXZF6Uc54zuoHZ+XFJZLIMnWxDXNkB0H5J7AyGMRPv+6X4+ojj8Rtt1+Oz33R50T3qB2f/Jynl8O71JvBy4wy2uMfe+Fco+POd8ZfnxCqTMr+/fC1G3HltguFgLkHrVTlWd1mPjlvtThYHwEA87eUSKnqZh7g5wgtCV9dBrM9/O/nan8ktpDhZfWIUyETh8vJ9FxgRSFkPz+TzGbbFJVpWgsCarJAY2zAN7/5LkfI5ExhqGLW9733r+K5z/sk4yfxNOIrUooP4Up4XX/Wk/gvfcTSx7FoD4eqoF8IbPsrqJbhff9CGvKChcsQDxoUHCcbce3Bjbh4cTka4yhG9I0VaBkL3kv/B/XdsOTY00bWqfZEF+CPI8QHSoZsWvFpTt5GSEMy4BCoPGVDH8DpPhsOK6mGJVeN1MAYJE5Gv6vr+pMwuS8WtkmzWYrfWRdWCnJR+Upa5Vf5LjzwHYfsnBCIQm+lLfGRn9kGSpaV/hyjrJuJm//h+6odwVNOS2UdzG7O4s7Y+C4LUm/nJ86MF/qUvitJz9CHlQ2/y+/Ej2IdqU5vt3li8tbIrTTluj22CVvWw/aP6YRx8kKa4RxtK3GTn8Y/Sgf9smKjoRXO3a/kNfOk+Ri6oQ4sRlZ4kXpYiXFmTvyepg+/D9TUQR8KIhlhxTay7IJPbvXTdB9dnvcSrykDkE3UiYzzd7ftfla8bJpN+Fxf4kKQjcgJfieMbh9cuh1g5Jl9VCkJzGVc4FXJN9Uw5JOqHcan7gTFtFfo2jxW4YztQhR1zyZWqrStLLyZF5F/9ln0Aok6TsEi7gbf3Ad+tgFR/OFr39MDoITG5Z8oprCMKA9P48Hz3ZD9C61gJcUtwAsI4zjrfqI/TylMCfxjAfE7v/vmuP/+R6J/UouxcaKlTmm7Znl5Pi5duRDP/9TnxlRRBDSAJt/Hqurj7h6W2X/zw/8unnbnHfEVX/YlsqzJKqOeJPNXDG/myW4mE/EbRkrCNdOAKxM80wsXz12uElRsiXHXjDgsR2yhnZ349d/4bZ1Q/NTnPzee/cynxeLSbAx6rNJQrwwfY5vE7fcrZnf7CWdFkH4n4YSxciWVcPJ5uk/8djuGNWVXJdSozwLo0bio6h0t7zYQHCOO7kNcJL7opxUHw+B29B0lKDutMqNlE/+U8BTv9h49TsaH75+Gz3gwHhNf9LFMFsO2E4qsm9+G/9FlXc9wwil15Jjwnt+knYQ4J4aRdhRhOGk0P/NNKs3v4IHhtFquJ4+hBBoM48njeBpnTCxMqoYIOGizXOpuwsa90ed6OFKQr9TzeBflR9/PctC8Hd21SDg1gaIoMiF9tHqzP/mZ9Waf8nfCm5++n7xs+rilHTn5lxNYog3a4HI5xla/hq9lm9Vn8qoKgoGyuMnfw88CFjLEMmD4ZOQL9YIPy4KRB+VrygTgpCz/XNawnu77rbAAq+s3bfFcCpd8a0wXfke1Sinx2Iy0p50geJ/ywMoYelIflTMGeJSXKWPeyGfQy/Ce5m74M8eg8AawlXx67qNhcx389RhVdY7eM34eGw8eK95POeHv3C/vaayor8CiRvwMfyS2BB0R3YsS/JmwHBkmPqkLXPEO/ypYqzZTYXa93Ge7ud4AD158WBFG8UnLDsqikzVXfcuxR+ZYqVN7InyBUsa6gsF3+Vv6JPgqOKibrWhOVHLxm21u0jC5L6fLup9VrU/EN2O5tFQBUFYEQwj68ZIv/Px41av++3jNN/z9+Lqv/4fxP/yjr45XveqV8fKXvzQ+665PjymZi+mQ/1UKxbCSj8svDBoXWi4rQfjWq2jvi2s7pxAoiRIhLCk6NfaUHYgs64AR2F/nAtf8w4xP3ca9s9YTi0llyvocx0SUJUFCMsudw3jPe94fb/iFN8brfuY/xcLC2fiqr/iy+JzP/JRYXpoVu+FXMhSUorNTQ636E67Rz6QB7rGCLt2XWZdnGc8py1XEryoVn4OtRt7Lep2fCpK3cLo1cCLljBczBDVhFaiuWmxvHZU9du4StK4TzneWpQaxs42vgX/DxPg2ETy0jGAQgPJgnwB5wGF84IuUzpDcI4/YrX0i/xiVoLzweePGzRIjym2tr2/oS+IKKxv+HdVFMl4S7bp/4A5YHPPGpYwDb69xhzL4alWXrXAV3h2LB/8otVv6vb5OPCtfTCyHB05qqbaVKw7fq3Qepxy+EsAGTrwCJNTCrRfxkqoLvx4c39NKxBYXsagKEGz4atsr4SfSfE3BUmmDPjBJ4L80dAyVH8ZJbKyzvUY9FS1U7VJvrziKctdjyOqcy7ipxe5up8Ql8wRJKAUEsSdcaVAlxyBveaXNVhjwewsKHxHS11RjCD1l/7Id10kd2W9P5NY8DRvbTcYtZRqmUd6wOVQ+h9kmYgQrI7BUF0E17YenloplGP8s4AEWvnfka1i9tasxtPLIXazfHDTgkrjCuq1DBkyEKCHeGssguZRDfrE9C54ZL9rLgwmJg4pGUxHAjydjNVlmScYJRYx9L/Z2kW/QGwswfBjtw0Ybhi1ibWXPFKCtsYb8c1AYMg4TW4Pbm+aXhAV3ACb7pB+PDzNRJftSfsHA9AdfGdN9eU/b2I6rxn1IGmtqddmfz++Y5ohhhKxJOkhrTdILn+DAcJpGHEOOeSXpHF6txpn68fnJwyuQ2M4meUWLjFC+vFrcvA5sVnSAcVd+teaxUZgTFu6ZvrLdiK0tcmTakoQsxMeQ2EzqY1kAyy+0KHvUARzWNcEbFz5w+8USSd0k9V6vEqQTlFmxAKt2eQu5b7y4lo11+8P5F/6Q5EW0HMly9CW/u9wT91cbI9ncKFLRsok/gzOpYy1AdGiaIGosjvs+wVMnGzOnv8bH49Lli0FiviQcIzxr//j8hIHBC5N9vfgiSYCQfZ04LMTOkDDAEY793GP5aXAP5+XGWOaSo/8wCwRjQc4dHP7Gx/O+89ORZDEvgmbjFNecbkqA3HffQ/Erv/ob0ZqZjs/93M+Tj1JrphkN9pOBg9VXkJh2P2ZmyQ/mFdP+bidm59HUTbC5nZDEpz6OTHi0j8Ahfg3EidChZvo8Nl5itSjOz37MtKaHIQH0vNEo2wQWOPVhTBlPyO5bMo5xgZ9N+hHwHCdixW4qq1+cHMUk6qOj0Y4XWkvrzGH7JOblfoTAqCvAJ+GE0uqBU3AL35zhKhV/qpz0aZW0P8cxHVMFTcxglbnc/OFcZXHRveAvQTShiaQVLYZFE1UZnEhdKf31KrBCt3GBYowPV44FijQX/eYdcgziG+KrmJU0nkKKhDv0RL2GBadmnGmj+BVUE2zSAXUJDoHgd/ktYagYKqW54Yfb6hzi24PFz9s1JJCt1fA/oSKvOFFWFQ4INBLIMgPzFYFHfBjifolwBTN0bzkDrUF1nBwajRcELjwpUs6TOP4XOpkkZcJb2DMzS0N8c8DBrnHQBQsB6mXSBlbaQVHGF8/+M66XhKdMIkwIDpfBJyRnOrB/oibjlBEZdoNTcx7SEsiVem0dIeHxXLA96AKMKf4c/s3Wph3dp6Yz5gyLqm5MiX4YP8sGxlT8IOXUEfmBi3v8w1dPQBQ/O+6RZaApWOm7t+ksNKzA4YuD7KEs4woveMeeek0ApMXK/pt2ktBdwO8msZiQkIP4hpUSOiQwNz9fFio+CYmCDSzmiXocdUqWAdHnQAmMByf4mNlHC1lnVJgG1A+2bRSfKmEqdVowCijGnRx7StuhMfH4umE5VIo25CLKqJTtweyRPgsucmsfC02VwYE+ePuO7Vrxh07WdXxCGqCJo5XZbYcuBKZJx7Ryn1ig28pDP/ADmoxBjYClwpR4pdnEfyzx5rliPkiQbsui8IqLwVjZpRhgUaIXFY52trdjgTAzJq0gSXEMUs6Y3s1zpi36fXzMwZoJCZqCDp/C5EepmgMk6q41K8FkOWnLO7R83MUfMZWzCGR60hqfZGdojNnPM+nONGZaPzUuT8CPsQQCKHs4h+ETIQEX8c++41/G2+6+WwMtQm70YpdgeTOLcdJtR218Mi60FuKg1lGE6l/9xTfE0592e+KrMMgT0Iv/Rk2AGw2OTKW16B7lCgBBMBZjYzBbTpS1mG7hlAehFa1bDAytW2nJ1QJ1VvvhZgazwCCQiyZOOsW+bV9Zzne29uJtb3tn3PPAffHJz31OvPhzPmOYCZoTOmNsv0HwNKVgcA1v4xXJPTFMOFnE1nC7xQyu1spEK4bEaVbOeIZPdFIcFP2cPuKw6EBpHgL8KerFh8mTNvedBJXfNoHTd6YiX95zt5UncRExNcPWRdV2cwopwSxhBWdmplkmvZzAcP4cP+Vvtby8IB8nC+GI2bmp6HaxlIwr2ziYwDfMlwWnkugixIpiCxHPzxMcDlrw1t758zj/GjZw4YzgTIilqgFtVT4z3J2RI2TShV9H0XQ9lKAFBG2a1DGTIzihH1dMAEPjHh7FEXtcp3pKq1qNknSWMnmdO78YmxusfsEfDpktnVAxXdNPJ2SlO7Z0kKSWCOTuX36iOIu4isBfXLIzvuvB8dfO7YOaYykxUSyfAbcQJLhr2NFe9bpuFE1ogz4i9LEekMEdWKXolyB82Zfhp9BBeeMFq0wo0CH11AIHfC9MeKOm8TvpkSzcyh1b1XZYZjxoryfaoLTeY0ybtRjvwcsgk3AgfCav0G49pqaZMDxuaglnW8065g36hcO46R5lqF+SD9M/3ouYxgN5BNcsZHB6Hcpl+EdOr+4LZVlc8C99ISmLPxfBLv2e8T06kZLQGMVySE8ad9pO/NfVLvXmNTc3E9tKC+S+c58DC4befeTwgenC1nHwP6oAAi+HAChjPNRifpHx4f1S7yBGkpgLooC+jBd+M1HjKFxJDRSJ5lQFK6U4BZfO47yTuChMo/qUTLn4YUHvkwr4aQUylXX5j1Zdjrl5LxoT5nklAbdCj5zA13Jx0QdFBP3AB3FcXowVMwrQaHqlX7NzXnSKf7g9GMTCIrjkhxtfXIYPE0+EmxnEzEyOMQrjScwvoVhTBuE/iMVlZAo1OEQCvkrkERW9Yc2q9WNmdsSoMajFldvOyX1DLZPtoEV/1ZMCSy1aLQciNU5rsbg0X+Y1eA7Z14hLt5PgW80Llqc+7fb8oXqYgyTnlaPUSh6HPfySX1xYNPyJh0uXz2hBrj6NCDbw9mRcp3yYCHjYkIOyyDvuvvvd8cj1myU6Msc4BtGr9aIZkzFRb8S1tZX4hZ96Q6x2NuLM8pn45df/TJw/M6/hHvnzZPTrY9cmq4WoxY+/9nVxxx1X4ku/5PPt3KYWYGQLTAmREWIxALkaNEErGJ7C+/PUE6xPybEd4NUsAq1eH0RvUI8Gq4F+Lx58aCN+7Y1vjMVzZ+Ouuz49nvX020RkEkBYIWAKqSBe2UBMrFQdDdiEmYynk2TyU+kprxOMatHtrUTI0MSIz1JOSrmy4DewpzCiD2xTMhlz6sT3q+mA8p70PblZo9PJOCbeGic5chVmIW84jTcxl3xwmNQ8mdncjYDjnuv3M09mtOc2wTl94T2sUwgaBKwV3EphdX8ROuDBlrQSxI/Tc1KcwG+BQaUcWNHpQEAIk5X7wZgInnLyjve1bTvw1oeEG1F3h06zho13hg7HOZEoDle14rJgVK+KsmC/MtOQxF2hK0YA4eh76ejNuBkfTF6efDzZ2npnp02wAO5QLhhTcEbfjDsr/9SL8KM+3kURdq9zcaB7iQOcdonirJUwdScc4Mr0Zx89PRG+2CJQKAsJY/fZQpTxot84Wlto9ol3hbOrLEK+J3wOTnTy00qCtz+gDcc3Y9Io9KDqzSfwaATZDNwf0wltmr7cb/dZdMa2UgaAZawVPNAwgkPTA+9aBqgpDYLQwE9dORHpHWGF2wDBvzIeTIriB4+d8Y62SVmO2EOj4DY52lYq+mQLZ9KDndSpNxXLpIvkD3BmXME/vMcNDbK2WW71rfPYMJ5seRcLAnCzWOxP6l3zJfUYZ64X2BmHdN4vfdU4kR8R/uFK2cPYm98gOunvxbJoa1jSFDybssefjIHHg75529i7J4bB48l7wG/cJ178WcHhoKZSQzS2FT7M7+I/D4xpnDhHDJt4BlmDbOGELgoNztIeG1ownhwXDOt84l9BKWX1de3inGKt9rgh/5HHPmph2gUfpleewTN9xVyif4WngdMDXuQHvCSiAhy1j+O9dwq4z9ZnsVhJhpPNgrAy8Bt8Dux1Wanpi/sDLWCC9eGjih9om04Do+nVN2gZWQ3vGBbqebIvzwIFivrQyYuOR7z4Rc8XZek0UgHWfWYvey/e+aNvjXb04gu/4G/FP3zlK+L88pxSYQxMxWVy/Zt0sSKa02+ZZYpkOP3ocX/9dd756GUSmhrOaMddT6gibhqFCSE4BhEFxaUVCr4MsE9xMeDiFDksVkxrYuDIsCwUdU/OEAWB97rHR/En73hnfPCv7o+jfj+uPO2p8aK7nh+Xzy9ZkRFB52Tl7TLqZtJAWdrZ6sTiEto6BOtJCgKU7GUuVV6tvO/J1fIwJz+EyyhyjaucQFJAmsgRgDBWEcBqj/KuKycD990CXe9LYLico6TTnhn8qH0SzWlM514NebuANsClhSJ+AYQF8GxNbKlBTDQrYceQyD+snNRByDmVQ8ag2wIAACAASURBVCohReFSwUr5ssDMCYKeWbB5rCPWV9tx9uxsEXIIKZRcC2H6mCd8YHbhf8BR6sOYnilbMcr55nQdo8oIMW7m53NVaV8DjuGDPwQrMZtas2kVMA5Ihjori5CF3t7+gdOlFOdmYtpwpNz1etInBAUWOl/4j3RVr6ZZD7P6rAlVK9Ui7IQnxo9jxrzjseA2dMzxaynAyvPFdk4jGrLM2FJD3B9CNzD26Pmdw65M8Byrpo/QFhYWhZ/gFI/ihfWGx5dpB5rER86hOkR1cdLlWDVKHcATzwg3ASwwbJfXYnvzQFtNsugJlw5KyWlOvVMbRPeIsAIOLCts970lXVlxwBb9hS/cLnmcsbB6vqFtT4I8Rknpn9SjP+jKQs878jXqcGKPSYUTeY6nhZXGtMKWNwEmCTeRm0LEwMkULFTMVprLsWVNvYpX1TmJliwHyCVOMe4rdQ3PGRPkNaEKsP4omvhgoFAwi4vOZ0gnsNR1uh0daYfH4C/qWcIKCy3L74xxtnWRXtJWFZ28yJPii1QT7/Ka79t6Ooi9nZOYnTP90m63U4vGWK/QCvcbce+HVuLpn3DOylKNeEOcHJyMsTH4FIWgHzu7nZgrbgbgnC1gjuOLDGqZzoP+AoNPGOIXhFwEbqyb+ABOjE/raD+0QN3EiTIu6R9BZqvT0OCFWHfQupQeKKIfSkHk0CLgibQhWNuhGcsAfo/pRC/iCv9XrFv0PunHwXpJAYMMgaY2V49j+WxO0Wz7QWL9GB93EnW2mnsn9ZiagR4te4nL1JpDXplXHAOMUBXMN+CmF+trB3HuPCFaALAXu9v9mJ4ZU4oa+qdYeN3jmF+wBRwcbKwdxZlzyE1OsuFX11HIEEILODhwLR5+8DBuv4M2qJf4X8ei9XoDv0O/5x14z4mMGdvNdq0YC3xbO92TaDZ53zy2trovOAgrYv621DIP+vsT+TdH41Sbg7L65CbKguSDSnjtefdb/jR++Md+JMZbZ+Jnf/LH4hnPvi3G+g0RZdHr1d1Tlf61fpi4/lpFH7cQdXxsLvpO5xGg7L71uwRSJEgcUZrZDunExUvEtvER6/vvXY3Lty2JoMnhNdaY1nfSpOGQzJbQ9mYvZmZPFMQNJ7i9vaNYXG6JqXGCve+Bh4I95Q9/5D7F+/nET3hOnDt/OZ793KfESWc/jtoE4mvH8tlWHCu2CrmmxgRPrXasQIEwFBnbFxanxNxMRAe7vVg841g6B/hrNCcEAyZRHJ05xgpzteYmJTiJ4HvY7sVkk23Bsr8+PRVbm+1YOjMjITI+wcRzouO/mH5ph+B0JFk9d2Gp5JCajJ2do1hYmCrxSuAlPDm99dg7ritP1M5OOxZqswpOiI8Jis25C8RFwleO4JzHsXxmMqZbTQXcPGijaE7FzExDTqYT41Oxs9OJy1daCrJIXJyjTjvGx5vyWzo42I9ev6sVEKcuHnxgI5aXZ+OgfRTnL7Ric2svTnDMHDRiujWlQJQILib24243Ll5eiq2NbswvzIb8wWbBLUqBlTDHSwEHDUXj7R734+y5mdhY29dWx82V3bhyWzM2NwlW15PZm2zxTLiHB4M4d2FOAdtQbG6u7Cs20dHRoXKEra9vOgKzBBHKwbgSqRIRm+1YcrTdvLkatZhQMk4mPgLJToxNx+bmXkxONmJifFKO6Iw7EwIK08qNDW1X3bi+Gc941uVYX8U5+ijYiuFCGd3aPIiLlxbjwatrcfnKWQUhnJqaiJsrW3Hn087KaZsArTo2XGvH8vJcbG5g7ehJUVtano6jQ7bJxqVkOSCgLRw4+xI0cW6hGfuK82Jn67MX8G3gVJCtl2NjjAHB+8gFVhTUWl3jLrrr1WN+AYfqTtRjMhhrtst6J8dB0L3NzXacOzcXJ81+rN9sR70+qbhRZ8/PxdrNbfnKHfc60Zxsyc+KaPyDAQFg9+O228/Lob3VmojV1dW4dPmsaJM8cyvXt+PK7Quxv1vTAgel7aR3qBhZOBNPTjTFq5dvn41u50jBF2/e2IpLVxaid4IT7Fjs7R3GxEQ3ls5OKrAgO0S724TmOIrxMbaQO1LmxsfG5Wjb7TRicuokBr3xOB7rxeYaVpZ+kGdsampaNIrMIuQJsXl6/cM42CXBLbSLotONNoELpVBEzLYibq5sS5lnEkRBJy8ggQrJk4fcwt9oa3Mr5uZnY3trJy5eOif+R8FvHxxHc2osZudmgoCHFy8tx8rK9VhcXBDemOiOjtgKxoJEHCom2n5cu7YVd955e2ys70gR6nR7cdttS3HjxkZo2yzqwSEa8pUhS8+cmdNE32o1Yn/3OM5fmtd4w3d7u0f2XYJZp2pKmowcIogqClZ9AiWtEyfHdUeortVifeVQ/lDQ41jDNEKybhY+jrCNon2kmFg720fiTxahbCshm9LXZmezH9MtAl7ux+x8M24+chjnL83ICfzchcVo73ox+tBDj8Ti0kwsn5mP7U2U+m5MtXqxfGZBi1uUWnj49qdclJLGoRfR89hxNGrkTiSxNopGN+bmphSUlvhsG+vtuDIzrQCUKCngtzU3FijzyGaUF6w94GJvp60+E7wdpY0ArgTr7Hbgl0UFx+wSDLPddbLpBRSl45CcaVspu7lC33kf2jqRzFy5sRNXbjuj4JjAsL7ajaUzk7G20onzF1EecWVxAvKp6SnFqlq9uadxZizPXYLfCWQbkt3nzi8rlyDzCcFc+3Mo3F58awFQKSSq94n88yiFSVp2MX9qxSlo0Poj3vwHfxyv/4VfiXuv3htf/uUvj9f8T69QPKCy+CgleQvTtM2GuvmoP4+tGBX9RBo2iNFv3mWsTl2VUuQyVmpcBORyGWab9NB7qA/IrPPzhbceo/LyPo+qhg+6nThRUDRWN1MKRscki8MfqzacXvs9hDRbL335MnHKZGycIHcEpyOyNatlnJsR6kfRas0ITPxb1la244/++E/jfe//cLRmxuKuF94Vz/uUZ0T7cBBHJDpt1qJbbzpisfbzWS225EDJipt/rAhY0TaBp88pJoJF4mvVUMReVowc2cTxGWfnnS2CNE44Rg0rmvX9aMWk+oafx/GYfQJ4P50taQcM4j/DJ/1AERyv24zLaZ2Jce/FK5BgxompDbSCZAyw+qDUyXo06ZNB8/NTCtq2wOqv34/tRj+mpielHCAHiXy9sOTAlWfPzkWskwy2Ga3WeHQ7k1odEe0WJe7s+QXFx7nvfuJXTUerNRZTMw31b2KcYHuDuP0py1KEsfxgUVpampfCt766KWUS50tM2FgOb17f073zFyckUBEUWCfoH/1BsJ+/OF/IhYkd2mHbIGL57Iz4oTnVUNC28+e990/0aIQuVo9ZgsNFxFzxazh7jmTAQNmLqJNgEwfmiI2NzZLwdhBXbjsvCwHOwVg1L1w8o3ceuP8w5hda+scNolBj7UCBIFDd7i4TJ35Otbhw0ZHfoVdY4czZFh4nOhXUmmkFq8GLl1hV1mN+viU6On/Rq86Dg6lQMMnxQUxNz8TK9U0FGiUw3bkL+Jd1Y2vzJGZazZhRfEO4rRtT08rcrC00glKiqFPPwlJdlhRolG2SuoKYolDsR602EeMT+MbRH/Ikwk+srG0lw1ke6xBCGn7c3DqMsxenRDu03T7aCQLujTXqcf4Sijt48Ar/ylPALWPci7kFtiCh63609xsxP+fglyh9TMBnz57RVsXMLPkh8ReZEU0vLGPhbcZJFwWbdql7RorHTIugjSi5U1LGOkczMdOaiUbDMuzgsBPnzl+KieYgpqexDO3G2ASWEvt/ccCi3d6RhWduAcuUTxcO+r0Yn5iM85f7Utx7J+MarzPngR8loyGlO2osKgZx9YFOjI1PycJX8irH2uqBgjFevg3/GxyqIybGx+QbBdXs7rZteRgbxNlzBGLE6X1CfDLRbMSZyfnYauwVP8BB3PHUZcnshcV5yYTZOQJiOlI2dACe4cf11d34pOc8XUrAlekzivAMl0Cnpsl+rK3cHPoXYs1FcUfhQ1lvzSLj8Vk039gfyKdKBwGtOGAqsd0c/20gmmeu2Nxg+7YWZ85jZULBOIiJiVYsTVoucA85wrWw1JSVDSWS9uYX7Qi9twfdkhy8H4tn63HcwZo0roXlhcv29UERArqZOeqqx51Pu+igljGIsxcmY2ezFvMaz4j5RR/0iPpSTKpPtWjONIN2SPpN2/xDeUYxJehma3Yi9veOi4VtEDNztuqcnNgCzcIC53YUIHiMRcfisq27J8c+1LK47ITo1+63pZIzD8gIXAJJGs21fNY+RrJuDepx7rzv7+0caP5CTt35tHMqG8GJw9liiYpYWIYP8HOlf/YxQz4w0ucuGN/wEnPUZLOuAKtRO475RdQS4405E4MAV7XtWZp7Ej5O+TBBLFYsYA0Cz5kg93f34199/w/EH7zlj+M5z/rUePWr/8f49Bc8S+BaYWHF4rKpgFDP41+p1FDG5Wj79JX+JHkfaw94RBEbVZB4y6ZU11Hs9vlaqVR7xalEyQ+vlJNe9FFg5fhmDOJff++/jed94rPiy77875i1OQ6JsZstoTSH7qcp18oZJzKczTz7iAm1OEqDn35fKT6uXr0eb/6ju2NhaT5e/FmfFYtn5uPcGZxo3c+tDSb+nJAxxztWBRMZfeY/YnJwKkPj1x/E+vpunGHbqOC3IK/8Bv9FgTzVdbZbQBh/MPGmolmNDMc8LfyMd9CMwiHFFDiOrRhJE0ST7jvlh/LhqXJvTdg51iZv4OckjTNxW9HluDkTKa8AB9YGBLp8hUghAoSpjJV9RrY8iCYrx4YgOrpPpICnFDrg9DRt3kI7JrKCA/c7+cJ1cNx3KxaJakz/VBJ8GRN+A218ZHtGYySMS3iax/yu36MStkSwvLhGjwH3vRWieksTxonHyO3xl4fGHQo6bfDfxsaOnLgdpZh3RvwWBHbCnZ9mZVZ3poWEx7RAO/zHynCmBb25zeyH+YyK837Cxr3qe46r38tnpUTZGnEZ4PJV/RbgI2OUvylX9SO/e7sQwW+6T1j92wERtZTSdgP9rOqgPwSeVc1DGWV4Oe4/pejGlM/+QtPeGrc8Gu2b8z7Kwjrky+xf9sGhRhT9We0lvZpfRycNxth+Kae3K4yt0b8oAWzluB/2/0p4jTL8EIF7SHfCI3Uk/NnHMkfwvMA32pLeKDzr74b7dBnasdys7rOtb18YqmULh4WaF7zZdsIHBQJZ9qHC4WneovZ8Rtl8v3xi6Vb3+F3qEt+WsiI481HWohqrqaPIyRyjrAceo3/5Fo3k+HLP3807+K+m9cS8p7cGA52gdhRwyrOoKT5sgjXrybZMt6I5+Y0RsR4IvEPgeaL4suWrdIaqNZb6MoTZMo9n4AKapo/5oiZQASt847emMctDD9V76ikHOuS2kv5hpiG9RFEuYFYQXr0xxBFCSLBwJ33jGJcn6SpUUrVu4JiQ7Dj2u7/7lnj5K/5xvP/998VPvva18dP/1w/Ep7/gE8pkYT8XnMyMeXcEJJ5CRlV9+cbzx+u0yEXPzRa8Uu4V36BqkLMsBAexcolKyjtlYBHADEYprun28ZovteQHe9+QPgPeJhCI7AWscMdjjHD03CkMxD5wXqCA1VqFFwiu7ui1EiiDuPvud8Z//KVfj3f++XvjpV/8hfHKr35ZPPMTbovlRY7cUqktYpxaMo3QgVrlhK/GTIQoS1x+ryZlqZrMILb0SYLBCiLk0OuxyLIwhuvxfcOvW/pjHxrDBqp9msn+JtRLagHXDwNQzv49fMFiwnZU+lDwmIuW5LcyMvlWR9BdBh+AofAUMmxtkEJh5IiphShVDP1aOVMN6hf+ByQzAgfQC/8KQ5Y6fE+ywLDJaZGvxj3F8Bni06LUzvHuRcEd1Sp0AX3mYvsFi1PSC3mgMuYS75hO2eq1gPK9Q1m/XCe1HI7EtzE8zufltqmGrYF21U443UL7kPxfWaoxPF1Is/Bqxt5JvoWGmJg1MPSy4Ib7Qq1O203qcELCkeEZ6jXokISq5DtLweg+YHVKKKiHMqMXq0nwMgqHY+m4lN5Rvjf40HUK/jYnHwsxEVJj50D+Qq4HPz/ivXRGxp3tCtou46Fj390ReH0fvFAH7dJ3xk/8JXCwgNrikLAYBvCFAsM7PjLv+7ZcbCm2TjWmzt/Ib9MX9IkVzYsQFAasYY4DZFjYkuxr6128VGc8yWG3MxwnwMNyCgxZLw65zoXIpGbFaXOT05NGJf1iS95j5JsoLRvrmWeQewPRCu27cuPGbfg5340jj0fiyz3mHjnD4AUxiV7FR6jXsy8PuKSfW1s7VFj6QBodYvx4XCiDEpuxjIx/Z0DI9njX+d1oOfGLNS55jNtsARPRPZ/TIDyEpQRFmoVgPfb2R2OQ4a/nOFOmL8aIuGSMEfCxDVbBqU4gaTCT6zImcOdgzkp5C42i2GvMCp95DAuewvnb2GozvvFdI1ebxxJ88i654XRYI30q+0UGKlI29EpORsPvenqxRww1FkiFBnENcXwo9wM8sL3HZVHgSOz0CXz7wBH5H10GfNM3QnWc9Mm4YDopqf6GdAq8WMCFx4Izx1zyeIAbcntCl+q1CVrfn6w/8rk3GUMrnuA0tINBvO3uP4nv+p5/EVvbK/F//Ot/Hp/y3GcIQcednhwrD/cH0d5tx+FeVwlL6Y+J6L/WHRCS/24ta8J6z7s/FL/9f/9RvPcvPjRCVCY2BkOTT60Wb/79t8dvvektJlZVWREmExrt3H91NV772p+LjSIgfAIgifrW9k//dh2DGMdPSKTK4NVFrFubO9hhLEijH+959wcKk7mOlZsbOk0g4cDJAZxj2xbMv/Sr/yXe+Kbfjn6tHi996Uvi2c++QwIYn53NLQspCPWg3YurD9wYEio1E9wLPFs44EBo3yXuJf4fevCmgEgCx3xr5gQnwJ+neygG4adFybDzF0GcAijrdQ4usIJCgv8ODFpwOcBhki0uCxHXNFCAScFWJrlhsMIhveBgCjyGn7FNBnUdtXjk4f3oa5XDnX5sbOBzxGa63tI4r694rzxPXNxz78NRxx9FW1uDWFlZDfwUrMx4UrvxyPoQZ7S7vU3QRtMZMDM5bG4ivE1XjOHD11ZUxvRuHwvRo4BFmAy0F6+fhRwVDE7fzWPjExPhAJFVW81Jm8bdZ8zjmNBzTAcx1fRWmmEZxLVrN2J6yk67Gh85UTJmFmwomO9+13vl1Jpjf+PGiuIa8QzaoOzKjTWNJfVSz9UHHjQIpR5+rKzQ5+TvsXj4IYJd5oIgYm11w++UMjh8k4QV/Ak2JWt1/rZsByUfX418jkWhfYjCZ5zQ98wtyD3+ocgRl8nwW2ArL2AZM6yMJKS1BZN3xpTxHIWcvkL77YOefIeoP+l7a6OjdxJ3H/zAfRGD5lDxXV3dkKLJOBu+eqzccJDQhBd+Me1YuUfOrK5ulvFgO2ssrl59aIhHuslhBlucrDwSvsGTBnVQlK0Y18dv4wEcsFXqiQn/JiyemrwK7ma070b/zZsE75xWnCksvkxsKPFlsqKVwSAefuTGCL4HGtPlM+SdM83yScBYKdPCdz+gJ/cZ2GirFg7kmmNILB22FAGeAbDDMPSI/KAatrdRzDwWlOk7pk+hR/o5MzMb7QPgNsyUZXtQGJIyS5yiPA6v26UvWZ57zivIN48j25DQEnAbTygt+I4BLjASmBP/SOPd+EeRzD5jsYWPmfh92cqPf57fsbKwsb41HB/q1tpbKKJd3nUyYKGpZvcGEkJnuwDEFiwO54Yfa/pYSZKL7HYfuuQHPLUQLHAVpRBlnnyBxjWKbyPW1/bUfdmBiFMmBcUGE+DiP+SX8WR80j9bwxMXjbIIcV+Am8Mxts4yS7IzYvmstnUa3FHGcz7nne1tFE/zOrhoH+4rv6fHq6Kpguwn/ENnWGjVaM3Oezn6q7/+m7G13VbKk2/4pm+NE5yMicrc6Qb0oSBgLAzY968P4tfe+Etx+20XNfEVbv8oHXKLFeG5aPuoG9/zPd8bf/Yn74rF+YW4/+oD8UUv+cL4zu/8NiUrzApxSv6+H/iReOadd8bi4lL802/+jnjlK782nv+C55Yig9g97MZPv/4X48aDj8TLv/LL4sd+7Cfiq772K+OTnv1M0hKWPucgZN+zBeOEp/hjHR53YoI9oaKHs320s20Xd96A/cfGpuL4hBxIrhOnT1bZJqx6dE+O4x1/9t748L0fluPw59x1VzzzGc+ICxfY3nF7KCRzC5yasTDHcZX9XQv7AqNWE8Yff5mUIG8zgeFni8u/XY6oxfhTZK/wE8JBmRAGEmQDlBScvL2qohacwRHMXDnx4fQ+O8dE5XawBBH/iP5Td73BKT1bvVzCZUeZwgoNSLPAp/NsubGXPYSv1K868B1DmZDjny0DjbGJEs4fwWZhNyb5yYuud3xyIg6PBtHSyZNBjI9NOrlpy8KQcvh7IaBTofAnMMMDFnoOruj+0Rb+KFweI0cq9mk86oUvyIuXQomSnP7K1Ze7iG+OUwAkvOQV3I0lYkcVRQYLB/5xCAvGktUxOdGy3fn5+cB6NKu4PYwblhMsNNm/iNuu3CGrU3MK/yTiuMzEzvZO4GeS9EKaIwnZgvOFxaXhM97h/2oy8mqvNWt/shwv9fEEC6NQo05WExp4TJpwI7SNhcmrT+q0FY4ApYKLyRW/B05CchKnKF4nPRzzM7GuEUUEa/ANXriOj4/i5GRmmHwXvz5O6CnGVuBfiD8hgHp8eYetNdMotFOLc+fORa+HNQJFqxatmVmHOQCLRZF0bCrA1LJJfizaFlb8LOrpxeQEcBkn9HdxYdmr9zoTT8QxyZOlSOSEXSLawxt6jUmlE4M+vm/csRWIukiQy+/Do7Zw2WqRk9Ljs7O7p61YwwouG3F42FYgWiy8nPm+dXsPesLC1WwSBwo/llbs7+/Z11LA1OKYROA8LBdlucB9jhGHEHy5HIpw9Y5zgonnpKRgKek6CbJkK8jC7wkrCDh03UTkh1/MC66dLVESMJsfsFyRNBrZWZ4ftkW3tO1bVtawDKY8OjriHfCo5uSXuL/bjonJ4gs0MSnr5GBQxQvqdoGtvCOlvhnKBuBaBI9QLODpBc71+HMZH9weazAGKAYVrzpQLxxnpaSH4qPOuCxJiz3m0CBW3BMnAGf+VVu29hCOA9qjZeYfKBTlPfmKLARNxYUyfhuNvkMA1E3bOoFalC5DT3JiytpYwNjh4+qxoWngzQjv9lujD7PznHwrpx+l7JvGGa/Ej3anRDuuwzG7XDfoxMF+aTFPwBYEP4kfIz5MAJmxEIjMG/Gev3yfVhkoCj1ZIDDVGWknBB8seWwQEmyZvOizPzMWF2Yl6OhTCrBb+5dMnc9BfJb/8df+dDz3OZ8YL7zr02JyrB733vNg/OOv/4b40i/5ovjWb3mN9zqjHj/9Mz8f7W43XvN1/0gEwUmfV736G+Lnfv51MY/D7qAW3/2//5vY3NmMH/q+fxnjjbpWvP/zN31bvOF1PyFGEzFAxEPCreBIBgfG3mAQ/+t3/Yt44Qs+Lf7ul3+JC2GB6ZAF2wzOSgNnUmLeTOAQDb769eh0ycRdj4/cczXeevcfSxDc9RkvjGc/+85YXporxyitlFAxq8uWAr3himPrkZPZZrPW1C08aBvH6zyubWFJv25cX9NplnyL1BVz8zC930HR4SQZDsPeVoMBMdeXlSBo0cBIFfMCDJPvgYWSB5mB8/ZLrujL/FqElgeWFUtDTt5enStWiAQBNJLKQEY8BmIYi764fj45vTU5SbRzDhQQvG9goaP+IBwaJYRA9jhiZ4+TihMxIz8TW8ysAFK/YWP7gwk5aZDfQ1+w4tMh36JhQMIItlF8TJ+2JPGKYOO365USS7Rl/ZbaUZRK+pU0Y8GoN5Sm4bCEDfAY8S4rQj4TPrVYlGn3lLfNk67XMBi9TGIoYvuxoGPqFlhV+SKcy+raZv3EDfUaDq089d08Df+iRMjKo0kOOJEZLpnvVf1kC8YWPeFD0pJvxzry7nI9pU44PiFAIe0Wfzx1vKJroVPKhBcrjtNT8CtwR+O88N6YThIyYaDAOa4UqzwrZI4FZud98OJ+5TgmvpCLRWhruK38wR+V0pH48qhQv2i1bK94srRSm2PJPX/nXbeFksyWmRcPnljAT8oj4Q+6gN6zD/JLo13TSoHAlitNVCSz7sVRp6OQE0I/TRqZI5+j90yn6kOhadeb/QS2YtkQHKrwFG17rK2s+V3X6fH2naTFU/RT68eOTh7jGMyg4vvl8CGGp8CpRc2t9SSuEh6e+x749iLEltvEZQVPLh6Nx6rvySdYzlMu8hSlFitNCavB4kbc6EUdz42DEgmanwbHCo62/Kr6DE8qE96yHsrVxxmraizpRSrZHiO3br85LzZ9f3eHk49Wtk13lp8Gzn21Fd7lodFajQWft/+ML5+0lKalfjrUQV2W6xyD7LDHwvUUvgBacEmjRW4ULi68abm6vb0fCwp9gYzxXJF6g+F9Yv8O14NGAkxrNLMKef7znlMmvtGO39Jh40KEQUdSGKiax+3LaH353YTzqZ/yyfFZdz3fcNQinv6M2+PbvuUb4+de/4vRq/U1ZJixf/YXfyVe/1P/vjix1pSR/Rmf8PT4gze/JV720i+OjZ39uPutb4lf/vmfkfMgoFy4cDbmW7Pxgz/4E/Fd3/2NZZgzhlEFbCWc0HsgjIjW9IxOBCZ+YPTxYQoTkFDXKShtU0hIctT4ON79rr+It/7x22JsYjq+4MUviqfeeXvMz80oDD2WKzuFu+8QEFF+ZaIvwlTKEtUjlMplywQ/EFgR04rCXB5y9LzWj3Pnz2Rx4ZLjtyZPVVaUAhdB+LJG9lalCZUnwDO8pDw0hqta4QFhjN+SIoIXxmf1cGoC79uviWblxJ6reitmjmXy6OjAZmQ4FYFEzBQmNYDy70qGI4Qt05YJ5AAAIABJREFU4LA6euUmHoz5WYQCnTDuhn5sQ1x6gpQCIHFjvwCviOk5Y882EacJqcuTWuWbpk5pO5Fx0qquCHE7oHuCUOv8KafRcqK0Y3uyYC1agpeCvJeTNX0Z/e02gY7tLGL6aBSK0u86ESz0mhN7nVhQbCf3h+PmnHDUNjE2u1pdPhte3bpNcv9hyfJl03y7faCxT97Av2p6ZlqrYdrHGilrnXALzjna3ikWPMaH0BSkOcm4WdDJuE6OOis92yOcxqR/ft/99vccd08KKCz0j07iJIdMAvb/h703D5Y9yer7TtXd9/3ed9/Sr3u6Z3pmehiGMfsOQoMlgy0ThEJ2hFAgCAWOsIzRH8aEADskFhNIDoGNLKOwjBRgEZLAQjCEMAhkrCEkFjFLD9093W9/7+5L3bpVdavqVtXP8fl+M+tXt2cGpJD8mnHw676vqn6//GWePHny5MnMk9/j/sDBg+p4MvRJNwCfK6/0jCl2GQYtDrVgBcEn/DbAXMoyf3hwEqtrK2lSyLF8jvlzStWGGgQ0G8gFq3OmmEkIJ5I4ASf6ClZKwKvKqxNsXR7F+ob7JsYZqyvGNeJoCf1gWv46Npgsxz4QkQcrWgWdlfqBHNUZyJGRfFF6IoreOPBK3QIYAryZBii2VUDzp9LIS+P8XKewXJuMP5Qnc+Y4MQQJy0R7eGU3b8mb/xTbbLCa7f7CaT5WcViNy3xiC4sj8b48yCM/c3Mz7uMCIU11UCsD7sjxd0K3WJagka2xsXFypWzLrgfdlPXIhwdZTiKmMrS66H5S9jdWOXHyjwADlbwUG7TgFJzrzwQEvmmSJf3AKginNK2DPDoaw8r4QrCc2JHgCXF62PpVvCd6jVbHzRncEIgUYbn36op1QtIjOIKrbCrGBJEToF3BYphadn/KSTz0i540N3C7FleMJSavyKDQ2em7gzFBRuQTiJSEvuJwNDsnfEd+wGpCbjFi8tVqtBJKveWpXmO3ZF67GFoRY3LK1ngy8OEtK5bSp7KeBp4I532vCifQwbsyV01Llotc6tP9zNpapZaVRy3BKITZKoomheH+ZSLpZDaSUlfQb6dzik/9r4W3fJZ/o4y/+Iv/A9o+Xc732WduxtueuR1VdYoifus3fyfOzs9ja2NrSA8W8Pve91nxu7/9kfiGr/va+MhHPxKLyyuxMQxjYeLe9eLb42d+9lfiL377X4iV5RQHDoe7i65WyQoCOKZBmZURGotl9ZODmgKOYkCx8gMmB0pXUPSFl6MfPjBOy6DoxW/99kfiIx97VZ3lHS98VrznpRfjnS/eCo6T8/6AwXMQQwwnDFTwcx4+3IvV1ZXAwEHRoXxQ5kDvs91BJ2F7TZ1P7EEpN2JyclpHhPEzZ3Xtwf1H8dzbnkkKaBCPH+8J44OdobFxfASIrzWuFSbqyIyCAdjbdu7U9bO2sEXUPjrJUchhcHHZy9WDHsERwZXKKNb8xsGYo+Q4/VZ13BsgPp0mqnBKECdjBtcZdUD2tfFJOTo889F+Ylh1OtHpsCXAigArbdXYeXwWHO9mIEFOmk0cJKuxsDChVT6OqAOutn19QUvV+H0Aigb+EOCJ1IHTnktLK0EovGarpYCTDHKA95lugnx2Y25mRs9R+q1GJwZ9lAKOnRfCtwEX5rnngWbgiPK4jveurPnEGEqvy0nBMeIiVRTWhi2gvZ2j2N5ej1a7E7MzU3HR7goZF8WLXwjYUA/v78cztzejfn4RY5XxAIRye3s16nU7ZXLMm/ZhFwdIg16fwLknwklCVjlyzJFtjg/jQM0qXA3/q0o1gGJggLns9aLVHBOWVu20oZNTYLdgMD1+tKttGAz9mWl40FDcKSAFCEbLsXdww4o+CrESMTdQn4AH5/VObE7OiNc4lYJdRXkYUWD54FxL2cAf0L5soRHKAt+I5ZXpuGgCWke79wLoBVashSfV8kDKaVRwmC67l9HrdRR3kJXfudmZePzwODa3VrUdKb+O+kVElW0ewnj04vi4HmPj57G5ua5tKRxncaglbEz38kKyj/FDn7PfHpgxVfmheYBFG9pI41g09UP2qlUbq3s7xzJ0GLRZHYPvY5UJyRDBawFBxHkVpQr+zMoKR+lbMejDz2asb6zF9ExVOEaE/8AHi12tR/dPYmNzUX5CN29uK19kHz2AH+P166tRO+1qy4jgrxwY6XQ8uO7u7satmzfj8rITXUB3i0ocHR5ots6qK1ubBNLd3FqOdudCfX+sAixKJypjxivr9brRbIzpVCyTBrig+szPRq3WitmZaQE/Tk3NxmUP43EhBaodBKYBfklgiG1ubsTMNHyzfxo4YNleIk2zDYzCdMzMsrIEn8biyePDeOml+fDW4mLgg4WxduPmWpwcn8fyymLs753F9ZtL6j8YGuiQrWv2uULm0DucDiXcDvoA352dJwfx3PNb8rVcXJqP2nFLW/vjk8S6GxdA8cH+QTz37LrCDs3OVtVmt5/bUD/n8AZ+RIK46HfZkIu5uclogCe2OCPcr6Vl8ON6sbQCVteJJhqnp+eSebbMAdikD29uzwvTCJwnDCCcydfXJ2Jndy+WF1fiYL8ldwdAYtF7uEMw6aCOJ8e1mJqcjSePTuLZF9akU2dn52NvtxbPPLsWg94gjo7PNTmnby4sTekdIBd2Hp/Gu99zS/0SedrfrcfG1vyQTzhr4+f33PNr8m9C1yBvb3sB3hurSzRXcAeY1WRifBxstrN44e3X1O5A5tx7cBzvnJmNTptV02q0Li5jEWyno9MAx4yxtFqZiqVl3D96qj964satzajXz+Rzt797Jgwsg/5iYHpVPlsIT/vzisGUC8+zLBtE3p8vjRi6TUl0WQFGb/5KizPn9+k/yctM4JNBrZxVsqji1Z+HO/vx/i/4vLQ0Ox6v3nkl3nbreaH3UqJmnzEeG2sb8Quf+KdkpE5165lbWpnBT4K8KW1zbSMazZPY292N1ZXbGgjJ4lu+5b+I1z9xR3vgnctODHoYStPqQEvziwoC+Plf8HlxcFiLJ0+OYmN1UwBtn7f6rvjoR1+Nd7/7XXF4WIvLQSd+8Rc+GI92juLdn/XeeN9LL8Wzt27H/Qd3o9st4t6dfYHsTYzPybkbpctAfNHCDwEFeibMkRs31uL0tBb9ARg4y/Hw4WOlKdiqYPbeno+7d+/H2uqWFHKrdRrVqv0/UD4oC9J99COvCNCOaOUsw+IjYkTp+ajV+rF9fSP+9e98RMp/fGwq3vPe2/GRD78SC/PLUa1M4zEh/Jj2hVeyTs9OYnH5Vrz6yt1YXFgTGBxOWlambXXsk5PjePs7bscbn3gQzzxHBwK0cT329o5FF53s8rIpw+3w4DSeeeZmHB0dxfTUZDx4sKfVApTSrdtrcffOk1hfX5Wy4NQLWEWPHh1qa4FZPwPl44eHQgUfH1sQENudO09iZXlVaM+N/kXgYI0D8sb6WrT3TmLrxlK8/NHX4/r283He2IvVtQUdvz/cPxNuC3g99x480YwWPw6U6UV7PF575ZHaGX8QFAoGpXFcJgVS2u2fRrs5CLaVMMKYpT16uB83bmzH0eFxLC+txt7eqYyQ+UVwhaaiVtsTcOXbX7yuLRMY+fD+XiAfDFwoxwf39mTcofDBw+lUirh7536sr29IWYFU/Mobn4iZ6UUBRhKD6mD/WGCPq6vrsb+/E7dvb8drr92Pt7/92bjzxv1YXZ+N09NG3Lq5HRcXdRmmS4sb8WTncbztbc9J3m7fvhmvvvp69C5pn9OYm5uPh/eOZQQRk29sYi36vbE4PjwLlPXRUS0u2o3otvGNYwIA+GURe7uAZxJuhJn2eTATZTuYgKxsQWPQ1o4xQgivoGVLYYQJfC8hDoP7srfbiqmJiZiexRAfxM6T41iYn4tGoxfP3B6LO5/Yj9W1zTg6PIlr11d0SgpjcKw6GZMT+MFV4v7dc62eaYY8Q0R1TsKB6URU+oYAYMHuWVpejiePH8f6xko8vHsU2zfX4+MfuxMvvfe2FHvRn4rDo4N42/NbEYOZOD5i0jIWh4etWFtdjdPTI4EpCkcKXKcmWyOAQc5J1jhVpQF9rBJ3z57E6vpEHO53hLtD/xwb78Z4dS12d441u6+OVePJ/d2Ym12KbhffnEn1CQBpMX4wvDmhevjwTINTNWa14t3u9OQYDG4VhjsD1b27j2NjY1PuAbduT0gOtq5txOMHR1GrncQ73nk7fu/jb8Tzb3s+fuWXfyP+5Nd9WQC8+Oyzt2N391R6hdWD/b0jHTo4OXkSz7/wXPziB/9ZvPTSu3TaC+dpTu6966UX4vVPPI6Dw73Y2rwR9XotBr2p+OAHPxgvvfTZQvAGL4hJ3/rqQpzVmtHutjVJefT4ceCf/vLLL8f2tZtqRwwewubMTld0Su7GreWonQK8yylI9PxAenjQG5f/G87wALfWTk/UNxjYWUFmtQrgRuQYoETgN9h6X1qdj7l5VkYnBcC6vjEX3a4dtnk+Lj9ItrjXYmauGge7bYUMabcbsbk+Hedn55pkY9AwMe51qzGYGpPhh98rsgFi/6Box9FBI9Y3FgVgymrN+dmpwFPXV65H/byhsRDfKIBfu+1qtNp1BauGR8VgQtuLgIY2G+cxNjYdtdOOZIUxeedRK2YWpuLkqB3LqyCkj8XC/JIc7FtLDnLb72Gk+GTe8uKSYtWxIjg9XYnlRfQXNv5MTIxhFALzAGq6g1LLBQpPrrkpAeDevL0YzdaTGJ9kJJiOylhVK7K4pLAK27oAgHUQ7cZlRH9C2G2XvbaANxcWJmNlBX3EKca2ZIHVaSYU9x/ci+u32HH6w3GN+DCNEoQZgvFi34S8IMZvCeVI0tJgumr9OYeRhJ/mq/KkC2pRg7cooxoVYe142+YHf/jH4pv//DfFtbUFmWTf//3fH/ef1ONv/80f0kCtqVuliF/+pX8eP/WTPx3/+9/9X+Lv/4Ofj4+//LH4vr/63WldCgKK+Omf+rn4gb/2I/Gz/+in4oXnryeqKvHd3/0DWg2oMn0DgaBgxtuN+cW5mBgfjw996Dfi2/+rvxAf+No/ptlBMejF7uOzeNvz69Huohw68XP/5BfirH4W01ML8SVf8gWxtDQbt25taxbBbBpivRIwKyEDUZnTasywUeDjE9Ox82Rfs0CMm3arI5RinDWff+GGZsXMDjkhtn0dXCZOcWDQEH5hQqsEZzWWfufjtVcexovvekbLq3TUT7z6IG7d3hSiL6jJcqoEeG1lQVtK+GKA+HttG6dj+76cHNdjcRHFy/q0nbmfPDqMm88AVMaWQBE7O8exsbkaU5NsdfRFD0BvrBrZqbeI8/NeLK9MarkbhrNdxYxaQJMTIIzjWwCvJ4XjhON8/ewyNrcAGYRvRRwfdGP7JmBzPooKejizf2b0LIlzmgpU2s1rlIvzeVWzr+XlxZhboKx+HO43NOAsreJwDGBmP2qnoPiSL75YRew9OYpr2xva5mH5ndNenCIBDVy+WONj8cord+PFdz4nAwCCHj06ius3NgVYSiNnI2B2bsZziKKIJ4+P4sat9eQj09cMHcPMMA0IPydEmDnbB5BVv3K7hm1MI1vjZKuJRRgwkwMFOewJ93efnMpYyP3y7hvI02ysrtkf5LzetKzMZb+dSuw8gf61oY/AMThTKys6rOB+WREi89p69ikxOvQWhxVSD2RgB6xPW24VVodYTUGeVmQAUx9ke/v6lvo6tLI1c9Hsx8aW8cLYbmBGeePWSlqGd51pW9eZMQ9Ua/DN7IzN/UazqdkotAJv8OThady4vRSTimxfCJEbcEPww+Bjq9nViR35daUtxJ0nNaH2Z/3GbJmt7oUlH5RgK5NtYYwuZJDrYP80rWh44ocMsz1NsZSDnJ8eG5UfGabfMYl48V3PpYMgFRkdDNjUA2HBkMKZmZUlVh24zWoLExu+q4460OHTZUwWcYylvR12xrRxDJ8tOOvXiNPTuuqTwVaZRB4cQL9BK3mLFUdWGvO2l+AZBv0EnshuA6sR9A/6v/10Tk5qWhnOckA+HF6wTDJ5LizX+LYiLRXk7cD+lfC+IKQJTvoEfWbbjr4Qce8uK+Q30gSclUxWAtm25sSa83388ESRFZIIOjyP5MLl2IEd+Iu89RZR0itqAoy7pZXFYRBoVjjaGOmLOI/TB9muJbQQhxzoh2Oxu3Mg9w6X661n/MOWl8v+gSywnZQveIteVjNXQuF6iMQgdwJhP7El2tH2rfzTohc7jxuxfWPJjt1aIawLrBcjhRVDVqbZglMg7FTQ0UFTq0VudyPnw1D6ixcWIs7PcMg2D4kr9+j+btx85lpaiWfi0NakCABW1TmqcXR4IRBL9cOCFSEOI7H9XC6Q3L1zGG97PgcmB/Gb8FzTyhfyOCQ2iRuLXAyQ96rGP7mlSBaqcQafVuCjt5x3d480vhg1x2W5r2TOPt3PT2MwPV0iKM0KXmOwOhk6qTqoxO++/Grcf/Aw/tTX/XFri4j4ju/4zjhuXsTf+/EfVVr8FziZ9Wv//EPxj//xz8eP/o0fip/4iX8Qd+7dib/6V75LaejQCOv/8VM/Ez/yN/9e/P2f/Nvx3LN0/KT9cq/LqUmcNCOL3H/l+/5afPZnvTv+0//kT6hTszw66HcDA+tXf+1fxW/+69+NuenZ+NIv+vx473tfjPm5aSkC0Krp4EMBHoJO2iBlcOXEkS9oYSCxsoMEtv2Y/azreK9TsZ0wqhy5a/8QD4K8R8dn28P1s5LnfnmN1tvOp34uzus9g90hpPCONAbVYzab2cb2Tfa3IB3+ZaAy+3K5bHuNppF/Dx1NiwnezrRxUCqYq/HOvDfv04IeWFD47H+zcpFXJbOPg1V7rmxZT9qAsu0zA4V/MF9KfmWjnnJ7MTGMIG+/GTox/INHViq5XOdA2T6pghjbYMMfxidaWAs0Zo+3D80/ywzve0XXv1Ha+dRIWbaZCYq6B4vc7ryN4UqdvfWan9gBf7SM0brm71k5OR11gq/2Q0M2GUCoN9tnGAXl4JSdRDNfyNHv+tN0uu1yaf7MpdD/9F28zTwpfXVyv4I2y65lI+cvpTucLlkeTIGGZXVv2sKr4i7Vg6Jpdff3/TLdKK35ndQ+2rajBPdtv0P96f/Q7fTOwfSM5ubnLvtqWu6Nvnv1rfzrU8kd71GP3I457TA/fJG0Ap+fwGfKGr1Gf2f5tsHkVN4GLPnu8iwfOT155Hwyf0g3VLMjfII3Ob190VKLqTieiHs5mX99Eo8ss7gLwANopG5+CX5g1NMHfR868gk+SqeUsn+ZhxRPT83PR+tpvrkN3sy7TCiffscBsTkIQR/i7ijfnc7O7plthkdhrBuWkQzOUb675JLP5qMXHuTvN5SHIReTfIgyv65/S5rRpwMF8KUk+5CZt05uepKjFDSxUwRbpbf4JK9PlpFPdc99Odcf3oCebxnK8DVlX3f5T/NfWukPzSUFlRQLTn4ffvn34l/8i38ZX/f1H0gd3mL8ue//nBhXVHFIT8NjJaLeqMe1G9sS9uXNlThvE6NCEqoP8ueUF75N65tYwlxl41i40h0RY+GW6BDwk1NPCvwI6l4RH/v46/Gj//Pf0XLrN379N8R/+W1/Nr74i98b8/OOzj0zSwwgfIokPSrLRgydE4WDk3c2ljItA88MBfJoQWFbgMu1j+SQa6Wjt+Q8jnEEee4IuRzXxmuEVuDOSfdVddOG0Lv+iITvZWRgZUyHrrCUm0QmwRHYEKJM/tiCyYO58yNbY8bQ0f3u8OQHfUyDHTOgbCw5jQOUZpoILWGnStPCSahCRpg7rioynMlAJ+XiA2a8ONNGHYUMoUzyPZRiSX9qffHaPCFv508yvhFE0/XlPSswD4rch3fOu/wkCw9cvgfYJT4x5cwXR0oMGwowPeUnNynbOCZX+cAqGM+pL/mVYJHmFHmxlekq0ldQZu4zHkRKeqlvHg78tmnI9LicEV4YL8N5p9Mx1IPLAThNl/imMC0ZWsFpWAFIyVUHDHRWGkwDt0ZBQU0LbQodLsP5mAe6pWc9QG7EFpfPtoPuqWU89JJAIq+ByrPf4T0ZUZyCNfZMTmd5yOWQmkJsJEKS05m2bDgyKJvPTAwM+Jfbi3dZURLfdaquqi1LVmpTFVUYDtH5BmmZXLjOrr/Si+f+TRomKabXOgS9x6SKtvR96uwwITmd+gsEp3pROLEKy2uU7+6n+V3Xyc+5l8sZ/e46FNHvGtKA30ww8FvjO3pSzRasiGXMLh5V5euV6ZCUyiexnZjuejNJtI5z27IyJEnH3y6d8MrgndCHYzdwJvlSXSqhFctRYxcgS7bXTD/PFftIvy3bY1pVc33SmCFhgK78B79MJ2Xj58blcgyq7HY0DyUb57QP79HnB3JtQEVYnnAKvwzwWLO+5hsgoKbT7Y7OcJPm8aLQQYTSePRKqfM0TW5zjwHkjZwr3wLd7nyQydx3qQ8X/o26NDnELzjh4kmY6ct+DJ/Fa52w9rt+4t0H58f9qra6OW1uY8+8ze2Q33man5b6p1nipygrM1yPJC/V+OAv/nJ8+OMvx7d9258TPJ7Ymk4CfdVXf0U82TnQyRy9owbj6P7deOHt71BjvPSel+KN11/XwKSWTUrw9157Jb7o89+fji6XDYDlzKDnhkxEphmuyh4bi87lZezvHsZP/N2fjb/+P/14/PqHfiu+8Au/MP7MN/7JeM97r8fxYS8uO6UAXDQRVk4ipXLA6BF4F5WE9Y4qTmlWthEHBzUFrbUlT8DFjgKEKo0rqy05OlqmlYj14NX4sZv08eND/07/7u9nAD3fyMoydy7uskJTXt6GoYP4KqLoF3F0mBSZ7hPk1w6wuQI4dtLx81u8e7AHKB0dz8qY1TkUQqafMlhpMy3wDziFhMejnNj6O08d1DQSmuNSyqLk98GeDWTTzHbHoXwgnG/E0WE9+pe47UGdKRTQppjv3yzRo6Twt7FcOtp95guidnAAuGW+UEDg5GBNsbzD1gsO1yWyNynPTpPxnl5DAeWBwryIwN8Eo4eLctRGKT0fVjicUqGtcehuKTgx30kPvQw0Un6pAU6OmoEc2lhlK7ap1Ufpfxla1WDZO+cBW9hSefNFVHeuzBM5feaZXxCjy4Cf8A0li0F4dOB2Z6bMe5wQg++53amfUZVdGnTjn+HtHtJ5hXWUFrBnyDu3H88wBPJvDjU8enCskzy5TseHDRkYuY9hmOEUXF7EFAPiIDGtGIvT42YCT7WWZ1s8r5jk99huy+UyFiKzo8YLRs1Znf7ifKkfjv2kVRsFvpZniafctrFI4Ow0tqooUK+l4uCroF+8Kms6bGjbmE53MsaVX9JNtvz5Ce/dhtVg+96GvvsQRhXb0r6MWcQ2tOl3HY6PTvQ4t2GtBshu4lt6kxXyfFEWv10mdwG2zHLhVBg6+G1JT1oSo4bz97AvsD3jrVSXBY0DHfwI9QWXb4PL9FNXTUBklDk972JIiookpxyoGL14zvw26xBCTgEMPGqUZJl1nXAnAJ09WQOpjxhRHLrcn9Wmw4KKODvFuMi8Bky0SH3ZdeFfTlj6QmCqihaAjvaqLjqyp8MSJU/YViWSAQ2NTmBy4N0NfVedqwZLTZNiVobrNRSpxyNoQo5xl3AbIy8RLXyPhtEiCgVFhvxsvJI/fSZfLAiwra3Qo6menEAkLy8gFFqVzkZUfu/osHZl4oErBbKrOl45CZrfeLqfbs2nW2YSlFJYKD53QBjzS7/8a3HrudvxTX/mT6fZPBgt/bh7764Yfv36dnzB531RvPzxjzsvlEB3EB/78Efja776K3Tvhdvbsbm6Gb/ya/+PmE0H4ITCvf29+Pa/+K0xngwoGnr4n+AAcucynIBOxZFjvx+/+S//VfzY3/rfonNZxFd9+VfEN3z918dXftn7dBIMIWhf1o2NQnqd5GrJ7wUh4Td6xbNS6ptYn7Q4j7k4rn2JwaF+Y8XolR4ScJPjtFn52dCis+KQ6A7oDtdpt5KYpveEo5HLz0pTnM+2jjuYXmdGY4UjujXgMdHjYTaqnG+z0bLylzIGuRhgO2//5A5HYFQ6fEU8YCD0KgmdijSqu+65PlCJg7yVFBzzypCNSNN22cfZ1XX1LA0e5/f57oCYVnzklY4gVzP9qqJmrx68/HuMFbS8GiQZARaBcsjc+WimrgaCdv78jmZBaduSdrKBiPb1CoZ5SXpWUi7TwE+ezr4vozf/ZhaKoeHH8CnLBEpQv6ul8ZFSRXWM+kmNiX/VcY7PZ+BAjvZfNTjIX8DPzkAykMv0LStO30s80GqRt+VcJ59ek6FU2FBk0Mm+MEYE51gyq4h5ewTwPvzeSE9JlMMn/9A38orc1ToiO25T6un20Dt6V82pI9JZbsmRo8x5hqqStCrn8y6pGYG7dNHqoT5qXWEJgivRZVktB0bDcJAgTVZYCxhCbLjtWM3LcgO9g+IyCil+E5zVQB44CHKtLW8XquJ1fFvf2J6yHFA/6xAmZPyZ1sxLh6jhpcyjatomUUaSTkNh0Lv8H6vHnIxLFZYBd3X1jkeJ0elrKSseoFXicEXdyUseewDH6MuGBOlxG3W25O0/Byem7yNnDPpun2HxHLxosTpXnltiux09ky+Hi0orgEmmgH2gDOjWSUexzZ0MnqJLbVS5nfuDvvwY4VC+QNznQh7UpgOfpDZtzmt0QkvaXh/6yzzK2I6We9Vaj9GJPmhFrMbhVSkEKEofQ39Iv6GXqh1RBmeRM+ECSid5FRn54o8Vz1wHHMDzhBydbp+oXBKr/eOSJ/ch1xOfVPpQf2CDE7lQ20tX2mdxcQV/P/OEPorfYFWybp7QnRLLRD+/HaUHHjgNJ32Rjcwp69fU59JJ7UzpW/H5lvgwyWgwt9OAmYWsEq/fexh/40f/Vnzjn/r6WJiethd/tRL/8Gd+Pv7sN/3p+NzPeUkd6Hd/+6Px0//nL8QPfd9/q3myfMkeAAAgAElEQVTZz/zCr8ZvfOhD8dd/8HtT1xjEP/2/fj1+4Id/OH7up38qVleX41d//f+O3/ydO/Gdf+nPS7gQIAuFHD+Gs3tmktnfBAE4PW/Ed/33PxjX1zfi/Z/9WfG5n/f+6HX7sbQ4G4sLs1KAl70icIh+7rktKXSEnhNR166BmkzTImB9OcuBrUG5rEqwJM/xVg3aCN+gGoeHJ7G1hUOtwf4+8dq9ePGdzw47OjNOolgDwlcUdCqf+CB6OhehD1jlyNtclCVfGSlPlAodzcCaridK2KsA1DcbNCiP7NTn5wmcDMOJOskpsh3TUzhEujPYJ4v6IeRSAwns0vgndJjTEyKclzgs5KOgvnMMqFZ4BtrECdS0g2aMoip5WQ2MtQW2NJMhykyQSN7iLXvuQX7J8E3yRlnCY1IF4Ja7pgdDSvNALIUidOq0xYg+krKCPtJwmVZONxrOJg/y8AKlxolGtXxKz4cHOq+S2OggZwYFZvMyLlEeaWWvHKRJY0XvPGyQobjgqQdMG2MuzOXYuMhtkchgZSiNK+IVbccW65UyaWDywEDvCV/I9WYllnpmleZ294BPvyn9Mso0DAK8w+iU84WvsD/70PAjXSmMEHWSMSo6lDitsEC8B1/LHXJJezM6aM9CvOfUKMYaberBgnTUid84jcN/l6sBZ2j4ct8GiOUYOskhtaZkHf4TdDSX6fSuAQatDXitOg4HcfMtlwlvRy/0A9RU2YLBd8NqKekTi6qGwSu8Z4u1SJOZ3C5ZrpBB8xx5pH1VT8kvvLVfnScmli3RJFa/SdbEaKh1DlDpVVXLHLuztHeu05Bvwwqad0O+JF67DTKNmX5PeIZ5ScPT5rkFaI4k68o2GaX4YkmumWiCiUUbW4Yta7SXgy3TQNqq0kp9luHED/j7JhmHRzZQWeXL/c10uoq5fm/m25ABwy9DHkisSI/BbfnJdSYxxjVQB1zmk7MoZZO6ZZkiH/eRnBZtluWevqvJBm0vmcgyDtaU6z2qKzLfTA9lkDflQQtMthHjdnDdXcaExh+CoJOOJ+alaSefcmzVQ+XJNxWhyQdvSeGmFTJ+QrcadyhjzvHp/vvWGEzmzLCmuXHYO/2vv+O/iVdevRMzU9XoXLR1oocZ4tjEdPzDf/STMYNDMUv1vUr82P/6d2J9eTnOG+dxWm/En/um/zw2NzmVA8MH0Wz14p988Bfj4PFeXN++FvcfPYxv/dZvjpWV7DfkmbqXwiHHDWXhSD+LiN39g/gff+TH4x3PPx/f8s3/mQYXl8E7SUjTwI7SywOpK8hzLvIuv+uXX02P8jMLjraEeEsDL50pWdmJRv/Ogpvzzp8GXEsuJi59ZLDlxtXO5DueyaWBk6yGZfKdG3ng1UNupitXJH1KuPPAmusFrXzPaT9NHkmx55wz39wx892cZ6YJ/mQjxvnSsfEZ4XNYDwYMGUGZn9DEe1ZWZfvkcjKNpOG7f3c7ALBRv/yc9Pl5pi2jW+c0uRyUjpfJS35YEeRSP5nPOc+U15BHtAd08CZK7c089sqWVnqURc6H+vLdChVZUA2uyAj3Mu16OtL+GLhgdhmPK+dVyn0uJ7+f/LUkdRjAHlS0XSD+l/VnpbYqgM/cJuRBfrluIlVKGAOAuru/lmU5Rf7NVjMzb/uJAHLp6rrW9GPTQRmZ7lxf0sCjpCdG9BY6A7wagS1qQM/08m5aidPAlAdDt7/lOJfDJ3XAsKF+/mT7ExwbGZNk9ea6q11yHrmeyELmY36WeCUYko4BMkUrz3Na8xe6tPAmY9ADpOWK505z9dN5ty84UZVBcU1L2SbZsMlGSy7XxkfW+1nf5lLIuXEO6n0GT819p6yPv2W54leuM585J9Pj3ylNmizksnlvpFlH+mYuSym0Iuc75Ol83ZZ9rdpySjmvOI7mndOO5mbeUyfkKhsjOd/MI58c9km73E/LXFzfXD/u816ue77Pby5b7wpDgowl6I7yHWQ3jy8pPW8lo9+rfPQbG/I2XHJZpT5zFIjp9KJM+1y6aCj5otsj9LoNhn1D/nymo3fpHRVO5GWZJd1bdb0lBlOubGYgn/mCFVZlHlRYzGCBMqtLUvq7TZb6eVNH2FleHrJRAwqpeJPtNHCLLrX0KBTqLAkSiHJWlGngM9NE4wCQ9z3f+z/EF3z+++M//roPKBl77MQg8pF7vRHHx41YW2flxMJkQMKMlGsFBfKyo5yb2pPjUyEKUxtmv2zD4I80NzulXMiZwKYbG2s66s4gUa9zig6jLykiIfmCgptmI4OIO3ceCCXds0q6TJ41pS6s4jPfh5xT3TL97G0vAu4JJWwrXQ7kW7C5xVFk3gEAE3BCOhI+TsAcOIQJztXwEKPt9KQl6ARmu8xKOYJLmBPNStPsmCPMS8uzMnLY68ZRd27OoJPMmIBtWF42WjC/8etlBQx4AvLheCyQ/6Rh9aYH8ODpUSwvrwQH2mhyTvQBQgpeDVuHnHBk9QTHdYDt2E4hdh+O6/gXsUJHOtBwOY6N/wD38bO5+cyqvrN9QnlCo6iMpSDCGPVGOGcrma0BfLsWFmfkuM0WC/vyyA5K1ojd4KjUBSuArLJShj8SK4nyT9Pxa1agoKcIZnBUinw4as128+LSnPwGFpamxWfo4jgzqy/XtjYkT0BQANUAPg1bGiwEcgR6fWNJ+EUcFkDmGbDxzaCdwfXKJzOZ1NCGvLO6tijQQwZ0jEiW01GuYKiAocSqFZhbyAT+Zt1uJ9a3FvSc1cJ2h632y5hfnIpuG95yfLwR29fXVEfkh/4CPAPVBdxucsoGEAoUf0D6Ej5y65tLqhe8BgaCGGMcHGALkvAKMzMT2prDWIVe2nF+AagLZAc8GvIGcNQnTS8umoo9iFGI8zDbPQCZjsHzDmGFDOkB7AYrpuAiMZDIONWKH9sXPTn3zkxPRrMFthD+b8fx7HPXtSWL/OK7cw1U/gqBbcHnuQzcbJjU7e8fC/Rxb/dAR/lpT229V+y4u7I6J32h4+XdfqxvLKgd4AG4UIChAhiLTlFbFmOxuDQjHDDqc3LSjK1r4AD14+ysFtPTs8IGY1uObRsEBl8WsH6QQdqAleDVtSVh5YDeDa4WK+Q85+QuUBHQubi4qDJZQQcKA31F/Ri0WYXe2PRBFvyb8CkD7Xl+cSZaDSPIP3gAdth1yejs7FwQ6BxZXFldHMaMe/zoMG7cXDWcwPR0Wrn20X4c46EVxHoOnbCVREzI/T106ar6zfTshHzvgJsYHwPE14eC2q0iNrcW7YReDOL05EJwK8AfcIGPt729pd0B+MRKKEYufYcypiYn5CwPaCur3kwCiN8I1pV8WCv4H/YEZ0JfQ0YxYlhRnJ3DwR2crWnJ8bXtJfEW1PAnjw+03Uy/4yAHkDSNs15cv7Wg8Q29crBXj81toEk4dXspoGD0y8rqbHJwr8Trrz2Od770jOSCdI8engSQIWyhscqEv2W3U42NLfcfUMz3duiXAAdPSa7B1qONQVpn5Qo9iv/ntesAyBq1HriVZ5/b1AQpb+EB5qv+h98hxnm1KoBf/MJIg6M4WHNsi1Lne3d2BCsAWn6eaL6VBpNH2DRMvhUf2TChbNsxeR06b4tdnUUwTGNvczHco7AwNLJB5SccweQpyrFQGCKUh7ZU6BVaAi0973+/ekMfeXKMHAGkA6BEmg2+N+LaNoBdIBePC3cGhUkwVOK7dS5Al8UnoRrNVlOgmBgGbLuwT8zAODM7J5TpySmA6LpCaoZE8GsAFquAvtsnPAeOeZ4FHB/XNAjX6wRjnJExxGmJyWnQsWd1ykMGFj5R7Qt1OHAztq+jKIjKPiaHYnxboIMOi5KlEzI4gmZLx7lo9WJ2HoMEXjmkhfFVCPvSVVgJnBnXNxeEGM1xe/yv6mc14YeQH53YPgFzMg6aUjo4MGI0TWkgYSbJwIfipgPZQJgwjlNqaDohiMST41OCE6jVLmJyYlp0E+qDQa/ZwGjgZCInby5iUFQFIjk+bjh/DM2tzTKGEm1rKAL27Fmi98AyObWo38z+wHOSATODD9RYzFRJS7epxBgBLdXJGXxRNvZhwVkTI3IMVGYsKflkMaOMmJzwgNzjuMslQW3HHVW9ErG0DPaOQeX4nJogTA4wCHn7BLTtGdNahIwwDE8MO+SMNmNLdxpBYNBWLMKKENLzlhuou2ybQVMO3goSMJdCdhQ4KtvpOweX5Rm+Rly0p38ji0VMpyClOM8zVWDwQIaqVdoDg6sQ9lfMVuLxY0APlxQmg/v8yQG0IBI7jiw48npigcjRfzFIc4Do2TkABzFsxrQFCt4X19SMDU/kgFOCGHfrm3PapsLQXSqWYmaW2TzwI/0Y9DCYALSsxpgWMSaE3r28Oi9lTp7Q3gv8V4xvhLM8JLNbI0wbNvvG4EkRK+DGCCeLvoUh64kM2/TeJgYjbVrGtPxHKpz6nAzcQjDySc9lNOPJOD+3I/LW1pru05boRvKm79KGxu8CTHBMhnfG/NGkiXBJcyB0e7IDaCUI+0LbD9CvxzRp4D4yAj/BUsO4rlSmRCuDEkCeXAAWGorDEyLqPK8wKz4Vi+7gj/4E0CsrDVzIDzJWr/tAgHDJAifw86TrKzKkwFhSfMmoKtwO/ABGhTpjLLEKTJ+WUQqfZo1vppVIySQrnUx48oojbTSZwvW4vwG+CN3gWXHNjacBeEBA6rRChmP11HQM+heaAI3FuKBhAL6kbpL9wv2TMSHjXGEI2nhgki/V4AlkEKbEEQCYeFEfEMm5ZueglVr5BDCHFWQ4FWNeXVQaVo/dByR8Qfge6wjr1WZwEpvOnnlDGVy0H6teGDIYyVyEAqJP0c9J58kep42NgSUdEfg0TWgygTE0M269Bh4ZYxR0SA7Hx2Jq2rsI3KMsrYpSnylvtxNuhbSQRH9m3ORibMaIhVf0DyaOBE2mDasVdFGhuI+0O+DE9qsjRAo6lNxSJZXb0/3nLV1h+tRVNVOvPvvUDJIxkyXk6gv/Tr/Id/TCZPve/+7740u/5AvjP/zAV0romElfdgZqbAQfQWRgxUHbcYeIFI1fEAqNLYhyyZPss5XMbKuMIcYRzxMhzyI0XI7rhcBnmlgtw7CxIJOGWV4JXuiVuTt37sTzzz8/rAancZgZclE2Mz+UOAqTgZaLkx2KKaRfHEcH5wjAM0YKH4Wv1eqxtraSVuAIc9JWxzPOj+N2sYKRFQNZ5YC2yvZN/0CLHS1RBgzk7hDmD3WGPq/sYGCZDw4mOjGFP4LTcx/QwhLmAEBDgCoBoFOl5ddlWASvKtLOWq0ZK7fIoIVBiPxEQ1pZ83teOmbmipFHxzeOUtme3pK9Wgfa26CXDNpmAPeYiev4OdskOLFetDwYDJfHSWwelEoCObJRUT4jT4SK5XaUWE7jdsNYV8wzOYPavwU63O74zdn3o6QtrVxmkXtTm1GWTn/Kwdxbgle7TC4/v5jrkOjU7dQG1DX1B+QGQ5LBzu2f34e/edUXnuS+hHGCbwP3Mk94x4MR7YN8MHvFoGTV09tbqREkFsgX9JU0Xi2rvP/J+oZyTGPZv/M9y63kV3Qk+uQfA/08z34x5AHPq1GrnUlmGUQyRINlPPPU6TItyJB5BSHQyuW03M90GVSzmiA+0n1VVGBEMHeEh2VZ0Pmpr8yXslyXl2ngLb6P5pvvmUfUwW3E/avtd3oKeGpeyabOpbyanlwun5leb3OZ5kxHpt9pTk5OYnV11VnoX+579d1ylNNnmfNnzvOqnOcyCCvlWIvQQr+SXCS/N8kXSe2WM2wlbXWJhnLL1/XkZorXNpN1XlnP0TSj381D19P3M325Tnw6WDu7I3ynPh6/cptk1uRtU/IjZVp8GG7bu5ycmhStFhM6687yfi6bO4nXw4emh5959Wj4SF9YBSVklgFyM51ui6spn9avP4QG07951VEWXFoB+Td/7Q9MmZVQVtpsyf3gD/31eP/nvDf+xAf+uBqexnPHyIMtrY6CTrMMOQkyMymVIsqB/7NioSNpwBz2wqwMSyXIDHxUYeZ3pceSsOOro1m4uZGUpAWV9Mze8qoCwqYOLELoCXSqUWVFiuwcWyqqYblJsec8LOjuCHRSDBDqxCe/uXiXy+/o65V/KE/6REpxtFOZNp5q8OC4P/0xCKFBOisaaKAz2vHXAVTtMMuJDhQB7cB75ms2EE0vvMvkWIH4F8xlMGeFyDMbDbZyxrVyyTyx4ktKTw7GV2XAiom84Y0qkJSVai3+WOasOHJ6tZVmXc5PxhirXnJIznLnPLxK0dcKk+vJzNb8KwelcgCFZ1nOLZQuzbyhfpaTT9l2adCHp8O+J9GmzUsl6LzEeLFUeaoPWM4pH4O9lE/KhAdZkfs39GU6hi3lBh2WZ9lCktLgR2sPWKF1oGE9V3vaoNT2cO6bYiGrRfCMEpA44oSxOmEfpNHyyYt0pjXRiG+ceEAGyJlXJfyeB1HRLh+aUUfb1D9kQLManvqSjFsbstYhlGO5s3z4PdNylefmn9u+fJKwnUYcZ8kX2cVQoB2sB0b7ABMgaHAbZh7kMsXT3CCpf1ufUQeukheZZt8mP8otjW3nncvOOsD1ldEnvpnX9ANosuM+efGX09JXRwftLMvl6kSuB7RYRq4aLBJRchwaB6mNVE7WcVmfDZWHq5bkQj/SP+YX6RBuhAS+JJ2SfFTdttDq5xorRAM88bvIok4FDl1O3I8c35Q0A0UwQJ9ZjtERXhm2rjSto+1GOq3uSYeaV+6P8DoZf3rNPoCWLejnsly4nSHWsuSxCdrcB0gJL3N/h07XyTzMq8nKUf3f98ULxiYZ1rkNVPBb9o85+JYV/+9WMJ1zqLD/rbLKnexTv0Se7iwIq2ep4FUQkNQXbBvT3nvS20rfUFBOUrgDs6rAc/LQYJfkyx0od2QrX+druHsp7PQes24r5lLYvWXlzsczfCzKclx2FmKX5ZN3OQ1lsfz75tk2W3HQrgEWtHD2otW5XQcpOc1KMs2VOKtlfCTX1UfhMQxyp2IplnxS5V1R/QuPxWfNPMzrkceJjz45hI8OtoY7McefyQ+epKPago2gTH6jWPCPIT2dFuWEj0hH/hu5DIw6lI3qrDYaBeojL+eHjwUXfCF53p7KdboUBELiEduAXQwXOrgVhtrowkCCvMMfq3dyviRfDdygpCf+i1dGVcc4yqzDt4vTezkPtllYVYMyK2F8sGgbBn4Uno+2NxvNoXywLI6/DnmgLPkT3osGaMuYaEuF5rLYVs3tpVUd5pxanaTdB46Dl+rid5DlBGSn+57Zpq6h8mlTZMy0Wk7YBsr1JR98rngu/n8KfCHS4I9jo9ltRCBa8oD/KF3qi7wwwNKmvUsC+XqLRLyrEC5iVA760bkgEDMGt3kiKInUdqa3lAmRh8+IoD1cLoMDl3lp+rl3Vndb5Dqz9UdSGd3ViHoNnKzL9NuyYtwiyyL1Bb+KvPjORf8HrybLK7cJagxdOsknOnoJzwb6PBjiNoAO0G+tMBMw2XSTby5HheQ21DarZZbcS6ww2sD0lrR4gpJ1mPMp4uQInClvVUMrW3KNRsK0EqvAgAPfiXLMT9IQBoQy1a4xHnvEtRPzzV9WzcvLq9/OI43C4N7V0Vemk098yHJbkJb+QXBzXzgc94VdZr3Dew6vYrq8/UpaYr5x5TaxjnD7kH+zMYpfBy6b2wv9ZJnkBLW3xj35YVvY8DHUmXv37+0JIyk7XRPe6vzMhnDWi0fCiMuGpYOs409o2kyf/cF8j/Ym1JZlxwwHV+6iBa+tRygeVxLRkfoDIZbUl3lT7C/i5DhhS8GcqMae8N0ox7KKywXjCT3R7YgPJjA0Nqbg3Xm9xOwim4+//Eo0kh5h8SDz19Q//X+tDZ5+uW9xiTSYO9nvR4gFgabFl2VMA2GWErbSTk/oBO4UDL7HR8208uFciZ7NAObLg7tRVMuOZVC3kgqcQlGAXJTPQLW/d6COirBwjwjg0J8NHhwJiSmXlTsdlMjzo5dkeOSGQlnod8kHjB0uC6UBGP0KisLG097ucbrleu3vH9nnKPEBZ3gjOKd6F45RlfPhk8GHi3L4EwKyjIWszPERQ4HCM4voWS0ZXcmA67Rx/KZTg0FDmoH8ytwRUUJjsX9wEj0d/eE5fk3MwMr6QoPrnNsI7Cm++89YJdBSYtOYt/vDNKStnaBMUFK0D6tzGDLGK6EMZAP/kPIaCHQOo5VLcobPmJSH7ui+t3RNm/PltnnCOwx4wLu4zoyO+Jg4T9MyEUeHLfmiuU72GbiKu+RYZMM8GDRS+4iI9M+bDQYDlvIQflZDClRp+c02K47U9kdQKsU9tG8Oyp2L0DbndfxZvOqGgXeeB5asjUfkRDxQe+r14T+URX25BMR31tGsObcJfkIYJE7C4GPjDLrJE9lpNOueHEg82LJuJWBcbmB0kaeLdFlV939NbPwAHziuLAeXl8T6Qnawng0wmf2CnFMM65v7J7oGP0O3s4gJTqK5/dxfaGfT7VwwnkYNKO6ySuA8kRec54kY75UX8Z+JVgYENNFqC5yldXFIotNVG/E7l6cVqZQAI7VNVG5dlku+dg0/PZRVtlnz+36Okcw3/hkEvoCaZECwbBsAccv+glz0+pkW84R0l5dMFN3u5ObvliV+54kN3z2hoH+7f+he8lUjC9MHGOSlkNSz7MAPOXtrtdZvadDXiiD5Ej/zouzvrph85Fw/v5MRxvlFEkEaZCLQVuM4TrvNqC9pFMBXPPKEiAMrnRHkdTCU2ApUEuVVThzyTVbdPXm1ToPBJrHUKy3pN8sW8ofuyrJCPpqYaTJtQ5uiiPfpjKx3oL15kY0q5wU4rMcZWe7DCYXbIhtJ9J1SPsC9yhfytX39utwZMMah27TnFE//Eyn/o+vTciAt8eOoWD+PvjRmUmI4XupYtX9bSdKo7PX6Hn48KDI6o+94+4HicsPnDs9vOu7YOIM6QoPQGdzPjqJ+h3t2vOU56VhWtyOetE2uyycJl2cpVgyF4qFBm95JOod86CBKo+0vU8094+vYAZQi0iuxurYcY9pmwp8IZ8apmOAoky4PTpwO06CR6i3HWH3nDedEQFWurLwmJuwcyXN4I9/pUjPoXl5d9CyNLSYUjpUu72mlMPNaTo7gJVE/yiRf4sLBw1xPU515ZJo5JZRPOvo5Dp4ppd7lRFam0+3JlgEpXDcU1sIiPgP5wklzYrjVoVW8Cs7RhNTJaUoHUe5gdNmx04Mz1cQZVScUZayx+lTKlWlnla0bSynwKfng38TpIF96Q/m4YOjFATs/d37wI8+Ys5za4ZNceMe+fP7uOiOzOJmaly5tNh0/V6+qEBZoNgXRdRvT5ovJmdh8wPlTjkeScQb63BfEb/U0nGazvJlPnLLx1qfbVk7xionj+mHY4L8n6sXOaiwtgWtG7ZGPqvrh4pIdUX0vb1u5LtRZmFmSI/IFC6lcDaTeBMq2P5wHDOrC4YbRdiIAt+bcFB4D0eF8swEQOhlGqdDF4QQ7Eue2LuRcTR1H+e9Aw5lWwAhnzEuVLgtBp9tUbJJTHO+HPozSRfzGnyznY0Ms9w9kHbk0bSQyH7L+4jdthpGSjWQ4bGd06zgMSeJtZgBDvxOxec2n6MibcgiiTT7uuxJTHfgp5YsTmQsj8ubf5JfTUI+VFfyXSprX11dTntaFgNRyis5pfGhjjTSaqLiOCwoAbJk1rEcllIYCnLUOe1Bu5l2mLa/CzS+iIErGsi0l6AvRa6OPAMyJUvH4xs3NoS5CFjhFPMuhQE0iyYtA7t4FUZ0rFZ0U5VQw6V1eJZZXS98wMr5xc0v5o6dIt7a+qBOjusn2cnUQ6/J/te6hkvPygXIKtuJY1ea9ckJX0WnQ7M9LVeWjyrZdMj6hEV3jCZP5P5MOlUAr7c4pYWKTSs6G9UzlvgUfn9E+TJ/ML3fYLBif/Pzf7g4NRqPiP/Ndf/n74qu/6kvjA1+D07fhCrLi14AnQWfP2E6UmkQLIM+KTpRh7StwKoI5MuNNHYc0KE/2d21RUzbgZShDBIpOkYWWNCgTFE+2e8mB7zlt/u2cXfv8PX9mnngWY2FGoboueZUlpzINkAKdLK6Olk0q6mZhL8szHerEqp/L9m/4YEXkvHMdGb3Yq7ABOggQbT14WkGQB1eur2lS+mR8WntZaWFgZL8BLWkng5I6DOuk/Gg/MnC+dGaneXM6Els+nHfKH8Wk+tAGuY1ynUgjqZEBQDtpi4183PKiwPRQXm5H3h+9cn60AfXzAOhtwKtpqQp2sQea9Ez+IPCdOooxWoHRSp2WzHPZbtuyPVnOwpjKvBj9hD74YX5pYBiiXFMuf84XfkmBgz7P1kzOJtOi5zm9Py3r9A4HLNa2q7YMMPPLgcptnFcZRumlryReiZXkC2PYt80GF4RkYvgkHwx50lquVUseyQcl++CQBl7R3qOyn8qAp+gC4di4PqPlwIssY37fRcp/SG2bJwHmscui3+d6wjBIhz8lSKeqKd6k50pE3hzpZkvMJ5jyRMnp8785f9MLfd6CzTTkT55zefXBA3O6JfmFWZajss5O79/ld/EB/ou/WfZpNwbkkbpe6XdX+Vny0u9RZVMIDZZ5jBPy5ESp/bMoi/wpONcHut78mzsZTDLXyzJZvgUfWDHJsjCSj6ItUDi0JP6mPqAtWZU3Sod1iEiCLWmHIdOVJH+kHXNZfCLbBhel76gNZKjkvjJStyEoZFkLl8F7+V6iRXoKGUvbkWSje7zh0+rc8cW7ZTlsD3u8oP560bxAz+v3yH1lQBrulVfuX3y+FddVat4KCv69lgkTqdK/f2YirGyPWbGhaFiO5jfFoZBYtkdBWyAZMFg0sQ8N9xgSOW4JbW82llDGNgzwt/ApJ94lOKQH3bJOHBGGaTkPQgSwLE6+Vpg8deyiLIAVYXtYRkkHjo73y0u5AzcGY4EKWWlxCtAXtBPuxFsIwtn/9vcAACAASURBVLJSfarCyWFGCf2Uz564EIBdWLrnXOCd+Wca/Lv8nlK5LvBJhiPU9KLXTe0q/vnUmQ0VBmmeRbST6wGzETqUYz65LnTm9oW3FWWIyXBjiZ7Bm/r56nbKcskXGh1jL6dgi9H+ChqgkIvkeySlK18qfEw8wLq+5FEOvBTGfj6y6sHKZRt+ge/wHV8b6pEIk38Ffim0Au+yJcFyeVJkctwFqygPmOb18VErbQ/whuNEsb3m7SW3Lz5MVmRQUwxpc8nImfHBYhiGohK1GltpmThiAbJtZEdy3iN/QSc4E5XtLTrLOrfx2ehc9IYrbfi+gLvkOpLCflx8y0Y1p/NkcCUHbb53tLXkAQUa7FdH3Yz0TMw3thm8NcEqL9s16rhRCZ9CAquG8nhfstPoKkyRB1JvsVKWZQuKqjpp6vZlkDOt/i2KtSICNAfZwl+2fx07znXj35OT7PvidmSbVdu3AvCExkG0Gt6iN30uJ4VEIwv5L/WSH53bkS3FduoXsj7jvI6/WPLbKpiAcbKLrcrEBwXsZTWI377HCrT9Gt1HMMjLGGnmVRlgtTwAIDmWaNB/wHBKkxDxF9+2tO0nxhiq4KLlwMBZbdy/x7a3ZzWsFgIJ4u1zMkYGKnGwn7ftTAv+SOVKFj5ArSTXIkZ1PjhwTE21cxVfqdMAHNG8pX5tBbnNPAAOoNFsakLDPSZtnGS00QP3cQW4cHw8tYYnDfbXwf/SfVWQDaB2y1jCh8l9uyLDdRBEpOmomc178n30kNiLcnBTzmAfSYclPjbPu3F65D6c9cjhAZAg3DOOFnoH4Fa6qnfCcR0hlh+8pSxifdYj+2FSR9xNiLSQ9SppDg/AwSK9DyGBPcb2peWNvAex89BxBt0+ETtPDpS/34voXyYdnmA3oCHzB3rpW96KLdvr3t2HQ9+7lNmI3sl3nt6nR5qnV95nVEkoTg8sXvafGGd5GiUQ8cYn9gQ4SBpmgt32IB7cO0gdwkJ/ekJHy5e/2TExd9BqvPbqPSVA0fKHUcUgh9CRN8f1P/y7rw4HDASf0CmcMPEsm62aGeHIqBMMUN5jcupGvrPQT08Zm8eKoRKzMzPKn7pwUbb2rWWkWCwaRMtO+8uD6Mk/ZtCfkNrgPco7q3XTqpnzuGh2hH+T6SdvO3Ci5Lwicg6mTeaMHP4idneOUh2Jp9eLV1954BkzEd671dh5gpJK7VFENFt9Bf5lAJVi70UcnzBIYERgoBBothv7+w5GixGHf0/zPPlM4fx80ZeiKKKjNsVelBLAF6jZl2HaavSlqJkBNpudaLWKODkxzsyF/B160bxgUIRnGE84jXZkPBsbyoapgnzKqPbgh88ZfKA9kQkcGnd3TkQ/KNrkpUC6A0AhO0I+3tttxPHRWTx+dCADBb8hZAzH6eNjHJ0rgd8coXPq9bYMh/29ozjYO5MBTbBVngHEx3Yl5RIQ9+SIgWcQjx4dBMFVj49Nx8lJLfb2jkSTgqzS3mf1ODw8jqawgirB8e+zs0ZyerWMc3T78PBIckp77O3ux0c/8opwo1Cs0Er7z8zMxtm5fYfwe8PZ9PQURT2W/EgcuDUbMdDPdi7+eeAo7e0dR+Ocup+rjY6OTuOiyXbBokAfCU6Kz9DJCX9ncf/eYxkjRwf1ePLwQIZvq3WpQLwEKQbXbH9/P/DT29051gk76rK7uxsOMmujAKOHsvb36IfV+PCHPxZntfrQ1xBDhIGEsuEDfejRwydyMH7l9+6ov+EkfHpal78fEw6MguOjY4Hhnp+fiQevvnJHnzh9Uw70wTfwc/Z34SGwIy0N+I8f78lBHoMGgM/zs67BXS8BTTyPog+YIuCAvXjy6DSODtqBywkOwThUP3r0KE5PTmTYYxDUTlsKVo0uwafq6PA4Tk5P5ZoADUCZYNwS1JuJCc/Rg7XTM4Fz0lcPD07iYx/7eOzv72nMpA0w5ABmRBdwE+BeDJuTE9cH2aJPsOXL9fDBI8k1eHuATiKnOzv7ksluF1mpBG3ElAcasn6mzSrViTg8OI2D/WOBsoJv1Ww2JDtHh8h4CLx2b+8wDg721X4ff/k19Xtkv1Y7EW86bW+1In+UcSafuCJefvn31BcajXPhRh3uH0k26YfnirHpIM4nJ/V47TV0+CCOjg7V7taFYkvs7Z4Ig88T3yIePrCsjFVZzWVC3FI919aW5YBOXQU/MT8Tu7t7mmBg+CFnBpuFXvpmLQB0Pjw4VzsDWdOot+QoTv9BzyiE1sRyABfT7aJniH9alT7GeMcYZHIEmCff4S9GMpN2ZI0J/lntQgb5wuJ09HqVAJMNHVyt2DC/aAEL01cZavVBxFmtI/2HIY+RDl9wLIcm2gU9Qx1WV9fi6Jg+lIz2PGDpztP/h3XZP7o+DQcQamalwAp4H57Yb3UZNdNTk4r6TvvhiAcQ3fl5LS57W1gOmrnhv4DVjE8CSLBgX6AoUXgoQBwZMXaY+bGHzwyqdsppkLaA9vjNls3G+rrA6rAxQEbGn4TORecnLAHCCX5QVHoCUzuv1zXgMIlQJyyK2N8nzt0zogP68McCeA3hxLGRuuKEvLg4r9kcQGRa3q9YYeI3VQwuot1uxvLSenRYpShAZr6Ircq8HfOqlWi2WlEdBwxuVvniW0HnJH+UG7wCrZg6YKCx6jAzNRWTE1PiGyeNME7wb9GKnjoKA1UlLtptA4gm+itjleh0LwSUiINtBxTrHp2WWV0/ur1uzM3OxmU3baFWKjEzZ2PQzp+siICyO65VMVpN7YxPzgTKFN+cqpyrAUkE8I/nDkAJcCVgcBMyrvLMmLYm0CYAgAyCk1PgBNmYhO/IiZXlQHXhuwEkq7EwPyc68Ong0qBRAcF9MgjWCTI2+E/g0yB3lcplsFgA9pQwawSqOClEcQa1anU6Wk3kbyBQTPhfrbRFM+UCMjg7MxeHg4Zmm/gyYPJgyPGcPFHOfMcHhgtfHy4cOp1mRfVrNe3wSRng3GDE+sRbEde2t/QnJ9ZqJVD8DHwMBATg5QLksBKduLhwMGf75AxEo4eVSiwtz0tuNjfXNRBsbZlPgwJgxTH5ntAPmImThq2Xqen5aDS6sbQ0GzPXXAfStJrTsbiEQsdwm9DMHX4sLgK/ia+bB5C11VU1Lf0XOlD4K/IBge9TWh173/veqzoouDCgkbOz4qeQz7WiUI1bz9zUIYXV1SUNcItLjqXYamK8wuNBrK0v6xQXhiS/X3zxeW3vgPrMaoB955gMdGPzGjy07NCHaDuAKPnj3cFgSoGYGeDwYTs5bsTCPJOksbhxa0XtUzttBq6CExMzMT9/M1jlAcRyZm5RkxMMG0ADQazmD74cHWG0FLEEn+SHNq3wMISI4f7yypJBSKMQmjeAmBiTXMLTAdes05HBjvzgA0kYFHyHWFkEcBf620KZj3jmmVuSlXqdaAGCRo3r14nXmVY9lS9tVKhdtLVVidje3la56xsGwBQBclZeFlDs1IZlB8fxm7c20+NKLK+syDCAVniHnrvA0bpSSP6odG/3UHrzPe95t96rM4k4OIrNLUAxkZAMoglN9qu6deum0q6vGzjTkxQPv9eurcloaLd5txLP3CYtKz2s2OBvZ3kA+X15Gf8j+3Rx4g9fLwyLtXX7fElWyKXSi5UVeNsWajkufFvX1vUuW/EG4fQ40Gofx+bWehDwGP0EAvzzLzwT4xOmR76uxYWQ7uE7YLBMtoiigCIC4ZwV9Z3HJ7G0PBf4eLFbgS5gDDFgahHBeIPQVCqxuMQ7U0I+ZxK0vr7uNtVJOvSM5fvs7CRWVl03yn6rr/+f+TD9f8NODKbv/p7vi6/+yq+Ir/ljXyqhpu2arYvk/MaATOy7BFw5TsOO6YSAvo3lhvYMHCOFjoEAYMVL2bA8qhl8BqEkDc9bw0HD8uJ7IKNKIDmKeU6oFIwfMmYVJzTTuXlre8iQBw8exO3bt4e/WXoWYq7SQ5+P4XIvYz9dtC5iBlRd4cp4ZU0gmYsoAUpiWwWjbzw5wFZlUFCIT1m4OIwjO+uSh3lh2r2czGwF4+iqc7V5lXIIgKZBE/Zl484gldBhZcsK0PwcAXpdH/MWgElqxym5bkJpJr23VzCu5FictsGchoHUdPImA5Id7QmIWUg5bm1tSMGjrEBonxbAp2lmNasLACPO06m+bFVmB0jxju2dPujhyAG14ohtRzzI7Zrravr5lReE3c5+Dg/LFPZ/44nvtS8G0et3Yn7eTs4YCygocLvsw2QStQ2WZBB6LEvmK7RBv7e0pO+GqNWmoSzPtHu7ERrIq3TOV0VtiFMXbQvkHGhFkLjTIYkrvkCm56rseKsD2lwOkxuMr1SGtm7hDVs+FwrFkw8buETSYcRbrl1n7sFjb3fTTm6rzG+375Di5FPiPJyf6ckp+PREwW3s8pw/vM35mk+kZQKCETuE61JW5O2yR2Vj9PtoieZBrpvfZaIihG+fnkjJy3yhSXWX32DOjTJH65zT88mVn42WxX0/z6mdrvzldzNfRvPK3x1+ZGXFA6UHWfMIORUvJTuUX74zrIMLGP7rNnT5Z2dnRtSXfOQkqe76mfN0em7xzfEP+ZbTls9pB1Z88mQi5+pPy+Aor/hueWPcQO6z3FJ29tfKseQAKKYsl+e6OGd9l59gLmO0ZKfHgIR2l5m24SyMulfyhnd57qL0Cl/JJpWtFOh9Ec/tzCt/4rpA5AhqZD7xWV7Kiu24Ie9Nt+WYdOatf/M9l+y+Mtr/y1yf7resgZ9uqZ9BpeVG8t5+KQAI1LxmVanRCRMxPaHYOhJOnaLBcMiVlbjoB/KWOwHGkoRTkumZQ36DT0IDkNaC6yeGkWfAt1BhLCFaZboiRo0l3ho1lvhN+IoyvfMlvheXnH+pTzpJlOvDs+UlwkB4ps1v4nX5VI/WImQoMbCi2DQIByebbOi4zioi1Z90nEiqJmNplL98zzwbS3nINFIGWqXTN6lTdV5oGb5C+AMZe/mdwgaMOrNP09ExHfIhdVQ8WjB80kBKvWkbI4ybblaVMJbMb3cfDC6C+uYLA4FQOjRarpFiv6UEuVZwsWxXz9zEa2uWlJr6MVPLF9YMv1hFsLrFOPdg50HIiof0jrWHseRyjCtDGX6HNGxVJh8ZrYbgr5N9TEwfM37wkHz5HrwricLvyfUv23iQMJZsJHPf/laUDt+sBDHEfHHAofSZIb3KyKWWjLLcqg7Ugz/8jrxtggHLX3lVtNrJ7JmLPPFL4VfJU1ZZ89Fm32VribxzXiVPypy9kknb+J3RNJl2jHbT6PeABHGe8HEgnxn/dj0IL+FQELkcfAszj3wv513y2vXKb5gaG4L53uQUJ9E8MPs9MMjyUz45CZkNXfMVv69cllN6hdj1gTfIjreLRmkhRBJplEuFrUTj/EjPDTGLsuy7LIdL4bupX1xkhSFdGqSNC5XlmCc67p/T6NPGbs4jP6KfQA80Li0tXXnsNiuHQTDLfPHOwHABTG50uIYnrDhTZ/u6cQceLC7kk7PW7dxzQZb1g4Or/jxs/ZtHZdmtFFIGOpGN8rRhIikyXIl5BC88LvHcukZ+giNH8DUJQU9oEkSy1OiwWleWX/MI9tMnpVvShAA+uH3Jx+3FVl6WA7WaTkz6Hr+h/QJXhZGL06nJbUp3KYOyct7kB/3+rVxBbUg+upbxq/I4kvlT+lq21lMq8DOpGA1H9PIKWy+IJIMGDWkMnNIBks7cizt3dqLft5M2xkKrQafg8jsIgveY022FbWALgiSk8T48W1i+EKB27O3hAJkvfAPsV4Lw8IePgsHiSENmVe3zW/AsaHfv3k0ZIPSsUmXF4Nvcw7kxv4Nj9Nlpok3ZWgGf1e1flQdlnAytxCgZh8KG9rfpWO5c4NV48FFJbCumuGTKFuUwMJCjn5sPVjhKodu1mve2c4/DB4hYXVyJu3FycpEGL8qO2Nk5UAgPd7JKHB+fJVyQJPbCmsmjhmd7xoOxchUvhW2UjQWUYSV2nhymUl0+PgpC4BU1oS1NgYum1iAf4v8NKWUr8/xiiOuFcuQycB21cb7ZMZn3+K/TTnSI4VWt7tlQIb1PFBIwOStz7u7tnMfJcQbns+O7nd9Rbi6nKV818517GDYe7lKF5ICOQcFvc5sAxP5qJVk6Tec0BqVzGQantBN+zjPiAt+s4QBl5Y/jrq9y0BhVklk+03CspD50YLroh/jvuFy3M75hbBlw+f1KtFucWMX/zTxoJEBJl839MbWRf3u7/CpP7HvGc+eMP1A5QFAOq6bQM+wfwiTLQK95YM19HTpYLW4mTLVsBBVxfGj/HviQ8/VgauooR3QkiwQ6u8JC8oSEZ+BKua4e6PE3whVg9MJAsij6PXTKqBFITalPvpgYsL2e2yTfvwSUNVdaPLd8c4v7hGmRga8X3PeRY79CmxF38EnOTu9gpEBzvkiLr0y+4A2Bm5F93ue33hlZ4eReNoTzezbm8i+gIQhPwxYi+QBCeynDzJNI0rES73JzHeFRxg+jDP7yqqpzxlE/89p1ICC56bSMIp8EEHe57lM4VqcuqrQPHz5KOsO54m/Eij/58IcEHR7g72b9h15BZwz6LoO3nMa+d4gLuvjJI/xHeep2whClDqSmjgLzrFmHkIpnBq7US8oTcN/z87YnjkyoB5U4PjhPOISkMwRFNrj4ndsK8rNuwe+qvKrx0Y9+3O4SMiJNT/n86X8rOfn0y/5DX6JERpJkHBq2lRBCBAYcCjqfBSsFMuwTY8uDKj5KCMdwYp4EbXZmVu/wHn8z02C9JJHHQXb/QJGq2btGqE6OT2J7+9qQV7zDTBBBzmUze/G2EoLnJj2rnyXnayspnHOdnvfwUzHiLffyX2moUTQnn+jU1NdKlnQ4dYteS3g82XmSThO5A1B8nlW7PEIrmCb9TsErs7Jx2RGAsqkTpeEH3y6KYIbEANAbdNWd3bENLAjYG4YdQJG8VoAunqYwrHIBUknw3MwrlJjr4k8APxkU8qlE6sWWnGmy0mHV480z7SszW6FEo9hoL3d8DE8Gp5wP943HZiVUrTjobF45gD8oGPFH6od0kVb69NX/DAcD85P6uE6Ui2wS1BilQnKcLuHrQsh5NJ1M4b7/SpRilGZuB96cwM9KCs00wT+AW91mVpIE/TS9piUHGfbKIvSDNcV2Ar51lkEGFrYIUhNrCzKvZpJX9hNUvmaBVkVYSXVZnm2KjpGpah7AkBdWHnEgRm5yu7MVlwH0SDM+Ma6TgPRPbTNWCsWEzPWj6LU1cJn45vrKjyQ1Bff5W1zEH8lywiN8oHLluM+qHMGWM8+p//Xr1yzXYCpVcejPSOaUxUm6rlbE1ILJkPZpQ9NBvhhLvJsvfkN7ri/38wTKxrhPaTJou32ME4YeURUlt1UH3hYSKsbLIKYmJ2UcUCbpyJ8tevPJv+fmFyRvpMkXQXb5mXWRVnX0kGWOgWLlaXDmlQqHPFrJL8wDNu9iqPiyvsK5mODK7r8YNsUwODDpoMk6Lb0mX7z6cBs538Xvc/TKOg/6C/TxzJQc/DMv5+bnkl8d9Sn5kHlAXsvLy7G7s5tkwe3EqrTrz+8irl+/nop1HmCOqcxkpOCWYJ6h7ViRr8R4dW6oz3h2/96DIcYd7YhLyNJSds0w/4FKyDob+YZv/aSLWKgkckAnBQKmDuNj47G3h3FaypMwB0UPsBmOP8ihB/QKERTQW47eQJWoj/tPixUljXsDAXFe9tuqlGWjiIlx2g86ycg4edomN8uUF3ok85m8cbwv3U9KeR1tw6f5veTS0yz1M6gsCbWUEYKRQ04U2rNG6KWQ5IDY1fZbdeivVESn24qJSTo8igD/jMu4aOel2tTJG/lYsRXezZvb6vhmUUVRwR8+fJz2i/1O3opD4PlbXVsLTmroYhanrZgyOC/3b918Ns0g3OQod5Biy47PyTmMuQxGV4lZtnKkjKxArXx5n3L97uzcZDLwKEVr13JMptNmZZ1nZ/k3Aweze/oOToH4BV2AGKxBkBI5ZeKVK+rCHTo6qiSrZRSSjjwDsEmsK5xJu211WFFS0Ikn0sDhAQUHbW+fQL/xfLwlx1aFZ2jeXvRzK2dOSHI83cqcvBcWRkAoC0ApF5M/kOvM1iZ+b/pP72Wj0XWDdxjfEwKU00gkcDj7rZDGVx9I7jSocMc+UPmpFbh9KywXDCJTM25ftw9O8ScxPSvgGfFxampaRoUUV1peh5dl/Qjj4JXFLF8Mzviz+bLCw1leTNdNnEd7rq9kw3XoXqajycI/MoieWtAWnQ4YmN/wzcCcBJ0VLIWMYLe25dT8x3Ax7fx2OWxjyRCTodCLtY1FyZLkCzmYGDeIZhqc5JM2M640vFcp2BZmcLBhRrvh3Gzne5fBVo37Mb+RSRzHfbrQfYgBDL55MCAN2+mdTuYbW7sTsX+wZ1lLYR4ANE3skIMvfjvNVurLGlzY9razOm1E/rSXDWUbE/zOV25Hb/VDK3/wflrvUZbuFmzXTiUOIj9MDLoxOW5HePLjN0G9KZP3MMB7PYyuXBpH94GXSPKnL4TaQcdxj77d10qP36D1q9KLyiMRs7yymE5mMpFxyq1r+Ajyw3pmbW3Bp0kVEial2b4aRBdHb7/j/nvt2rURueadQdy4eWM4QSLt+vqaeCS+yS+1Hc8++4zygTyMsNU1A1maD4OhP6Op4DTrabzjHS+47XWTCZ1XSk0Pq907Ti6+FDEz57akAZAl7GoOdqiNw3A1kzM+vUsK0nz5l39xdJM80b+3ttbS6VgmIZa79Y3kXyosKA5KzMTkJPzAQDFfbt7EaR6DFP3Qjc/9vM9JhqV5vbW1KaBgyoQ+jO/bz9oR3fH/0HkLQ3Be+IT/5dr6jINh02aDQVzbXo2xMepJ1QEJRmfQxyyWGF15gmptCfCmD7T4nSK+8qu+PI0FAGiaviEj34Ivf+T0/fswnUajcS+Lfnznd31P/Edf+7Xx1V/5ZWptOoKea6BlsM1YNqmTa0/ZvZ+B14qM5ScUNUKTZ+wQkGfhfEcJ2v9Fv0RDkjCNnnngxuDI+UoinY+wfVwuCg4aEUZRpTLdubjvwTbnnRiRVnXccXshnBDqKmKSsA9H8USLslAJ7gkpK32k5Vn4JXuIsZttEBirD7ql80GZ0rH0YFhXG2jiEb46ZKJKeVXJ7cDqzhihJ6OKH45mtyTLeUGJlRG8pw1Ud2srdXzXL/PR6U2LY9mRE7/huVc8yAd6uA9/wVTyUjo3+5yUGTpzkia3G1X36keup3+jTDDcSJeNHmZUmScuCuMSo9a/KDwblLSR25mlfSklt1r0+swknWcu05+uE99pbwZhWMtFXqwykk9Jb6KNRKn9cv0TdYkGjI+s3EZpJdfR7T6e5braqbxsM3OcfKHN9Ul1lDEFLR6ARauqkmRDNSBf4/+wuocPWU4n0mXbexWu5KUH+cxzKJBvWjIsP7lOKijRl+n1Pf+b+KUCTe9VvlMF8zm/xeBk/zxWTh1o2fTS7skpXolz3lBP3QDgTHpDzEoTErUnviKOBmAOJlwkxTFL+WQC+FTFc7v5gdsg1zG3W34XuU/yZaZZgiQ/ToPMWrach3+TT85LL6owZAQHYpDt7b7FipgjCWTjjcHT4k3+rlWemJGJVMTQB8e8KwqgPLo6IOOXc5n503U1A/J3Pl2Gy0F+U12RC4yQgU98ZmPe3cN5llzkt/PJ8gefqY9SilbnazkjfltDJxytLxOrSKyLPuhVbbV7vu3c/EwYT6M8JlFJUc5HYxcYawqG7PaALqf178Ts1K+TnlNFTBBfmWjNzuEH63vooTIofC6b/FAftBkpR8ewpP+ko+1vl3lB+ciFA49bt/DsaV+p5Z92sZ8Z5eX2qMZY9LtsB7D3bgXANhBObVbCHP8fj9opQTBdN1Q5yi93XAmcjCWep8E7wOxhlmr0V96pnVy4tydxclDKUX5x6ic7xvk+J2t8sZRrQX/0YDcZDOTKcWCWVFOHxXGxcaH9a0TOgxS4PK38uvIBzyUv2+dB+tFD/Hc8w+Y9sHN63axQDG9gfxHzKQZsM/Cdapoftpxgg7sMy8gXTQyG3AGs7K2EXR8B5GlwQWSr8hmgfNGugeJSAVWdBZqoqph76vdScEAg4KzJYE6rkW8IimCoG8CMOsbfiosUfW2lGZSRe263+/fg7VgaTO034NzcnfANaTfbIkU6JQZRq7mdTXNPviDdYdBewD7xmfEStsrW0XDnanqI3+Ql6awo2vi6CUDUfED5tFsoKZ8AZLA5OymiKVBJ8mL16HLoB5HrfXTA6gmKC2MQXym2ljG62P4xL8C04nk2dnefHMtokrkLxlWzK981byfYcRRMFfvN2CAjULC2HtUeyHFXp8IwQKGF5/KNkhKlDvahgQ76EnkJADShl2ME8J+dlfG9wt8C3xY7sbMli2zt7dTlUE6DkA9AhZSN0cwWJvwm1hqfBoWtCBOGo+zIL9tDbJ2BI0Qa2pcy775xlIxnA6mC68XRfPhcOwWWoIijA/dn+IjPI7+73YFOVhLL7ey0I+waoC/wN2Gmvr97psDeY5VxHbsGP4c82TrtKpAw/YkJF/T3HXuyAAWfQcj3DJxo3lA2foTaRiGnCg6ZrBpmXyLzAP890tAY8KnZaKtdGTxtuFSET5WNI3zsTo6AHqDfOhZi4LtydCooD1aoSAt+ETqK9iMuHsfjwUdCLxAE+bwO5tOx8uA7bUGMSniMryWrfegrYA4a5035FHHS6sljfDvRZX7HcTk5aYgf2EUKtAttBvcFz416caFDkSX6O7IH3/Gt4g+QTHQmPlDkQ7n0M7bikV98iWRQgBd0WlewXmSOPkTZyOvjx6wo2deHGJYHe6eSbXiMLjg5ake7BXDrZdRqzcDl7HC/prKhp3ZSj/v3dwSNwBY/dXvjjbuSQQ5pwJt6rR07j9Ar7Gb0xJujQ35X4rx2qfZDp1jeLmQ0U3/qo1VE7QAAIABJREFUbAOnLRw3+kfRHxMGHfEs0ZOAMJOm0TCfAH/lAncLnLzT01YQzxPndfhD3z048KoavOhfDuLunSc6DMKKrnwL6+A+kQsYZe04PW7EzhNwvFrqsxiITx6fKF98+cD5+sSr94ar26OByLMOFFFP8Z98TvspFvmZVxRqiLhYnLRBGBCUczlIj8WNG0uxv9uIlbXpuH93J979nufi9ASpQAAvYmnZS+7gbiyvzcggml9gCd34RgTbffuLE8mBEZ+GXrQ7F7G0uBgHB4cxN7cUezs7sX1zJY4ODmN+YSHOamfCmTk8OorxMTBSQJ+ta6uo1bxUjDvtzRcI+LEwaziB0ZwB8wnwxW4sLc5KWLe3NwOQNnCQ2FKYm5uP3V2cysejc9mPjY2qQCJ7vU5cXo5FV46gFTmE06NQxDdurggEki0wBjzFHtpYCiJnr64bcA6sk90np1FUp2J6ImJ6bjK6bQe2XVufi5PjcylUFCZKH0V66/ZyNOoD8b5Wu4iVFToxvOpEwR5+8zTmZma0zckgWKs34vm3bUXttBNT09U4P+vERfMoFjjBwrYpmFjBcjjO9Y2YnR2PdnsQUxvQ7Yjv+PswiAKixinBRrMrXxS20ACDnJtdjGp1SsrncP9UgxRgksSKAguqdtaKi2Y3Nq4taTtib+c01teXVT+OHe88Po6V1XkpZoBQMVDA3trcxA/iMN6+cCsAUVxenYudx4dx6/a1ODmua8C6aA5iZW1cQJ4Yc9OTs3F01o65uYloXcCfRQFbLq1MxmWnEt1+J07PmjE1zlFf1GgRRWUsWvXLgOdH+3XhoaBQeYocV6qXmoFjxGAk4fdCbDagE+YWJgLsHtISJ5FMkTecxHk+NQU2z0B9xD42dn5lUgBCspft56PVaRkCgOV+tmfnAV69kNN7t9sRlgsDK8YQKw3457EtyiALPhd4TlPCL2vH5PhMHB0fC0sH2ZuemjFQ36VXKFDknU47aqdjgnAAzJJtWORrrLqkwYFtQIwHMMD6bBvgq9e61KnXsxTdfgy/xVn7G2L4MKBOTeHbFfHw/q58e6Ymp2N2dkqD3sTktJzGGQzWY1qDCg7Sx8f1WF7dllFQrU5oS2V2blt4X4cHrZibx/ChzmPxZGc3rm1tiW8M2BhUhFaiTA4IsB3earZlAJ7VjoRXgxGGrNZOW7G5taRt604Hh+lJGR1z8zPyyZmYmBKgLNg83cuO/KLk/1JMxMRUJ4Tyr5AZ0zE+4dOL2kae8AruufDkpqI6zqSiH+cXhj/Bn4ytPnjKYH18fCyMrbm5RU0O8ZnBt2vrpiFP2OptXbTVvgzQYJgtcEKuOBX8BUbixsaGQD9xqgerCvBVtinZ4sEc4qTV/Ox8PHq4I38XfF4AxMRAAzh0fJwtcPvPHOzWtD3J1iLblJ2jrnQY+FMYcBygGRufFP8xwNkGZzI3P+/DEK1eGVB2d2cv5hc4xTwQVlqjDp6ZJ33g0PmibzSD7enNa9fEA9IDoruasJMwxHBJwHdwcWk2Hj/cVfzA6alZxfvDgAMfDH9WJkPIWN729DaxncrnF+bj7IzTePOxsDQb3kZ2VAFOSWKIUs/zMzCaWKECL29GK1n0XzDnMKTJezDAxWRekwp8C+lH+HJubqzKB0o+V/C+ALNuTH1nZs76DJ5hWOLrVBmrRr8LCLD9ziYmDcPCiU1iF87O0TZMYJiwMOEEmmBMAX/tJznhyQ5mIUrsrb6KP7r+QA70i6L4S9/5l4tf+pV/VgwG/WJQ9Iudnb3i5LiudweDQdG+6BSvv/aouLzsOc1gUOzuHha9y0FRFH3du7zsF81mqyB9vz8oikG/ODg40u+iGOizdnpe1Ot1fR8MekXjvFk8fLjj34XzfvTosfIryII8Dg+Ls7P8zqDoD/rFG2/cKQZ98rzUu48ePUx5QsugOD6tJdr9m3sqN9ExGBTFwX5ddFIGdeh0esXdO4+G+XS7/eLOGztFr+f6Qe/RQSO9Q9n94rLbL44Oa6YXzg0GxUWrU5C2SPVpty+LZrOtNLwDb85q58Pf0La/T/1gmfl0fNwomq2u6mfewYdmege+DIq93ZMCGimL3+f1VtHvF0V/4PIpp9MmD+epNOeNK7+5d3Jc0gLP777+WG2X8330cF/5Qjv0nZ7UXZ9+ydvaKbQhC/47rzeLVhM6KBv6esXpybnbJMlLt9NVevN/UHQ60EoS09s4bxXdTlk/7p+f5XdI0y8+8fpOcXB4NiyjdtoQTyw7l+L10SG8pT1ML2lMV8mXZsM8y/ePDk+Hcs29s1pdde+rLuSDrKf2SPS2WrSx689nv1cM+wO/e71BcXR0MpQL8TO1jWoNf3kv9cHMF8mFnhVFt9Mr6mfuY6QlzeEBcowMWy4ajVbRGsogaXqpjXN9+8XhYa3odi0bvHd2Bg/L53zfeXyc8nTe9bplP7cxZZ8cn/q9JOtvvH4n0eJ2Oz+nzckX2tzfd3f2r5R1Xs/t4fo7vb/nOkqsktyQT76febjz5FDy43fN6/ZFV6Q6Ta9oNtw+uZ5ZV+Xf8LB+hs7LfOhd4UuWn3qd/pLT9IvT08w703xygu7x89wm5T3S9ItHD3dH8rDeg7+mFX4PikYj80WdQukzDcP8xddMy0D0Oo2armi1RmVlUBweHo6UOyhqtTPJpeqTaG42L9yfUn85Ojoujg5PJP+53NNT67zMh93dg2G+pDk5Pk5ybP1MOrdzbtd+8fjxXiqnTMN4AA/oA7SH8+1Bmf5rNloI0pC/jFXmGTzIcsF33+9pvHK/UL8a9IteD12AnvTn5WXWkZRzKR3ebMED0wE/0U17u0nWB33p1ab6WMn7RsM6MOvwdrubdFpO8/+y9+bBtmdXfd8659x7zp3vffe++b3uVrekBglhGbDlIgwiBjt24lLFRKKYkYWZgiwQc0hhyB/EVTgV4lIZm8SFnNhBBqzgcjnEQ0hMCRMwHpgktbr79Zvfnef5nuGX+ny/e53fea9bEqqK+jUV/7rfPef8fvu399prr7322nuv/V396uiopBGtPfF0b8/yk7Lilns8f/+DD9MfwmIlvNL3/9B/FX/uz3xV/Cd/5k/rDSx7A//Z7GV53E51zDDwS2AmxvIvfi74LnHfsw9mp8ye+f/B8nJcvXIlH5UJClssaU6z/+5tM5fpvV2IYFky040uURIyhWVwUGEzzaOf2n7XFlOW83B+Zou31exvACgl+BwDIUtXFVtoXI5Z5P0nqs6pHzuhagtQ7LBTEV/ll8Fr8mlg24dYRz4SvLiEwx/bN8xGYInrp1mU/IWgdbTOpC27yrQHK0hDxD/SUVDut8Nv2oztPvv4+Dm/3S7eshRx/Bm5VAn9Ji2rYESD52IlBZ54RYV2olD7a3ACi5+qTykjM3WbIgX9aBJjsBz9npnxzNTthe/Ow/5O9fvJB68OkY4LR1vXEe4xyws52RIFXL5x4gcy5LSe1emn6LQfE7NPi6RpNw0ZPNP5GJvGbWQkdupqWSE/85Tn5euQD+az+W5+ufy6HdRwD/WFfGa6R5/Da/KiPnU+rC7oBJxvqWzKNZ9ImLJN3ewrlu+r/XTKEB4nna/QFulLpnq7vqW4LFXlwgC1s2LxmUjX223EqpzLfjgP8979Unlk39CBiVqHUJdsE+dLGbUfm+udPpPpz8M7lDcqR5ahUdlLWSZfyYbWf+2/Jx1GTdXEDlE0lB9uj8i860JZKa9ZLrRCh2WO7EiS+ZCF25J24l3XzQzOd/0ryzMPfI+/rk/RK6LJ742mzzT5Wb9NWq66bZRGQY7N0+QNqeCJZF6dwTI5+txp4B/5uQ2QMZcAI80fy4O/i79VM/pa9eFQBMqRkiiLNoNG/rlfO9/UG85Zf4vPlNuC9EV3Fv6P1t3fR9vqUfnnXfvepk9X3b+oN74pbGCRhoJVRfHRYmEdWestEqCryZc+5/ZKORY7/WJmNNQnwxuvwpfk2KtQ1B/dIhDn9hjL7QaIVLdAyCUEPM0Ghp1FMorgS2AKIKC+l04FN0jJMeO6L1qIUjEgtE6H4JKe3+6QkkH3Kj8ryjSfJ4R+Ko+XfyLUUFDoVS4uhXv4pmSnzg6GLQIgo+mjcxbxEZmyDOCUOkldHtXzsyyPvFMhoCxYCj63CPCb6VG9S3Y2GFp+Uk7rmFR4JdVkxVxi4JGv/8Ez8nMHdF1agjiAfpfv+kKX6+i2dP4ehJMm3yPvQbCtAY1WKgxApZ2UqfmpZ6P1od3Qh/pT2lmDMpuEvjCWSlbDgYUnzt9lQI/y1uCRVLktk+dOT0p8TzjVY0dMng/6tB++RPBnRF5LOaRRYGDx0TRTCj42RiT2QAfuSipKaE4AvVG+8p7UeqGV1krZ5hm0STrKSzxT2XW1SjuZQ9CWdVTeQ3mo8ZTIEydvaHJ6+z6Zb87HfixpNDJQJzYQz/nHdi4+N6UGFUGLS3BY8cn+XYqn5yxVFluOSaM/E2JDGkLP7t3D/62uIOF+9HTY8PjX2Acr253tkqw3hkTWfQhCKJ+vUd4gK/xOObdfk0tNQ2W0n8Avwv7Yv8dlObBz0mqZwwep+LJJv+Hoe2ytVOBWeDdhHpJm/IDcHm5v/HzI1xLtv/iv0Ef1X4E9yXpmW+IzZePCfaAO4uuaZXn+Vf/N+1mHLBlZYZtJF7wSUKUngtmHwMEb5QFpdQIuJ2oxKHHPLG+WcUdfoFzy4R+x+vgtWip8Cd3umTftZVgE2sc82R4N8i0Dn8laOU0sI9X+YfDNY0P2n+xnyQPaFVmA/7WhbJGjf3C/lp/kl/nkgMx1PyYdPl/Qj5JwWWzdA2HgOvIOkS/c3kUNFrgZ84lzP+STZbv80ROW8IDJKH6+D58kz1plG+XvV+OzjHivRlF/dMug6aYmpjxzUDUaAoYEsFBCo6Cr3bh7e6Pg7aARGwLQS3Rj0rFCQwfkQliZARvQkKcWrpXlHSHH8j7Ch+OsnT5LURECdbNQUw7BYLflFEi+vt+MmzdviQYVFhEbCgKqFLrlYKLumNxA+KzouEf3q2JlJcEWLSbd06oEHHUa9qXv3NwsZbokgiki5L4Q+IhdOeH6HgoF52XK8AUYHs6dx0UxefBLAEM6FbMN/JJyFs17nHbB9wZfJv4jP4JM1lcz7t9fDxVVbuKgPuihwKiP99nt3Gg+UJYdVXnBioF0+ImUO1rRun+Po+F5VbG2uus6F1rwx1I7a3XCK1Drq8AkpFLqx8b6jhxQNVsMrwrhmwENvig3j2e7fjhPmi4nwn/IEc6zHavYWJVXZWYSL764Fnu74B9x4RB7EifHXsHDUKB+q8v4jSF/vnLA5pfpIfCwnVqHaQiyzGBQhj1hb6kQaDE9if4tXgOMepDAopYneM0ArHyEwA34nQdXK3gMPPcLyzXH2pNO14i2zKPJoq1qxIsv3EkyRcvNGytlEMJIcp0Nelj4RqDSrQTM5B7OrM3iPO40cpgWM9yG0HN8RF7QY1rwgeJKRY5jLuCv5gcOx93YWDsYgkOSFjm3YeZy8S883Ked63pubqRcu5waHdl8FA6T+lzSgxM6q2bkyb2GwEuThwycGJWgm/NsSG9Ba0/mwWsPaNxx2eoLDHaFPDne+9Ewn8wv80EfuGwnxJm3zpHYcuCAcRgj9Vc5/EKZqoN9XMBNc94epAk0PXol2G3WE/8x875ONQrYS17bWwZKLNPQODk5HsZA5C34hFM5V+Zr3WT9DF/oA9sleDBpyFcatEw6eDeNUdoVfZZ5mD7kDV87yIVH/re9aX/BbMN7dzcCvzcTQ/iYfflCZT/mPod7KN984jAGUCuWYd93f0m+yCAhOLP+c6PCV49b0MGhnW7s7dowpmuTz+HBmXdRRKuRwQlqTd244Nvduw/ky6Syykohz+izPnCBb5QhFExPSw701Dd5/YnnntfkLuvkeqmIx/LHPe6xFP1Hp1DE6IDQ3qXzQjkz4TIhU6c87XaNnCvZtIDKKRGIAHUBn+LxAIRQudPjQM6FAHEhaKMCjuAwc81Ow/uezTs9+QD2lQJmY6CK7llZHSgCjFOhhc3vMVPlFJIF1cogDR0ZJo2WkIvzHvn7n6Y2opXORJBF52NRSoBAEngLMdGBKZfyIg6PCU1R04/CAdOqvghsm4Mb5fIOkdbhm/l1fHIWRxgQZVbKuzik5+WmamkLMHmnoLgcRy5lO25ZvuHP4YxTPykLh3+3YRoHOJDWF7P30j6aNeO4D09QWqlkwTvxICFawI5qtBxORGyw8k3AOpQX7wKwmO3q98jTR/apAwNtzhp5Dp986ss8gluM4T2cL6XYoKNb8ExqOcsI4SqjxI0zn80r6BlukYh3idUF+y3LmmmqDHMGWk4ZCEcGZOS23kLwIIIhglxKtsrA4jpRVwJUe0Zs2cUpG+OylgN956cuTrCx/e3wNr7nfKhbrWzZXs48vBxV9anrMCOVYznxPVY3ckWN+8h2BmF2ORmzK5U95RErkH5R50sA3bJ7qtdwSPfWLWkawr+RvCmR7/l92rTwqWDsuFzzUcfsdcP9UAOg+CQB03CY6bVK9RA4pOWcQbs2nPtywB6Nv0e74ITNAG1eAqApbhTaLHeUU/Maq4E7dV0wxJDvzIN+6EG/UNiIaHcM3ujX0nA2ncO8im5TX0cz2PJUvu57md7liYohT0RU0Q+lXLUrTvdJL/0HPqBX6rrZWkweGIDUILS+Z5kcraO3GF0KW2VlRXTIx9JGbGOVVXPIrN0LoNX/2JZzfZEFDgcYVsQ5oGvzBDUySiBwTnLXF/kSV5BL/axqRrdnSBzrt0oAoV7ILOUOAV5RaJTkgPLImJnFGNSKVsF74jluIehr/lNbcK+oZ/V1GZYOTm/qXBZ9Hro9joV3BAr57vflx2P6+A8+TJ+C8SkOqJHvff+Pxju/+h3x5V/6p8obDVn45xRBWyISB3unOnWQ4JXMiMbGieHkwcxC/0iBWYjk0EdyM/I0KVn+ndVJDH7RaRtautXJryKwnERZWgKAzUoIwQJinmjVlMl/t27ejaefrgHZtnd3YgHlrVUCY9Ts7e0pgKR0Sgw0C2KbCAVLZ6J0Vh+mwdpwothY39OpJmPHcKoJlNcMvustAbZAOOWU9c8qY3CpTnRC9XieOJU7r+sLjZxu4oRHPvUpIbaach+dY8AEFOYe+fa1skJUbH4zEHCEVwF+3YPtk9UHNI70EODVJGOJJCVsMXSFAEzZDJpHx0flN6dKWO06irm5ST3lRq8LBMBJTE5iBFI2YULOYmoKHljpoNwxosCaIY0VfJYpNriuZVAw1gr8KTwraM6cUGFgxpeLPDBS2u0RPh0PYnKS9nPeQEUQPRyeJi/ZHrBPlu/B684EedhXgjqeHveiM0lZ9o3AIDff3JqsJgG85zxdPoOrjUvSMAvNgcPvwAsMIBsVrrN+cxJLSxjkM3ohDy6/0bRfIEZmrs5Stk42DY2UpIdPBjBvJ9M/rJAtO/gbIs6wRIal5I2TT9Qfq5TTWwMhFZOOgUb8y2qoH5KMlvZAZaPPfn86NUT5TDD6fU1wzCfXjbweHgxG6aYQt7lpdJ+QHJVWdS6k40qiHqZD/UTPuZ/dN/PiATRQL8oiD0a3GqjX71seONLv0oBTsXxj8MjuSblCbrXC+mjdRITI17sVBrONiPLkFT6gBVlwO/qzGGIqj1ey3vn6w3UbrdPL0+a7rlXNg+QT7cpb/IUW88h0+x3aRoZvIcUyxo/RtkzanK9XY8zn+snot2JsFCNl9En9PfPnDt99WSfw3fRBs+Wspr+krOW5GOS1bki+0JQAvLo/mhxOHCMHdBz6iPt80mAZy7KTRj6zH9Z0mC7Iz/LsDmL+Zjv6mWkrlXwMH7T8/y+vhxXUK7NgKH6Vge/OTh2ny4qrinPnOGZcNyhHnptjVjoo8XYbRF6MBnJCG1s5UBrCoMYvytKKpxtLF+bLAICAVIHBYqdU3nJHxYAaltsgjANItENqGbJjcfGc8rc+acQzzzxR0qAwq1iYBxHWA0IGjmX2S93cyZoxNwf9RYjVAwhrgGFQK1aOnAstu8yWhFiriOjQQx2raLdLXcWDpBQ6Sj5pFGiw4blnalJRcoi1nxNPRHPVKABp5r3bsqlj1ipCtETMzmEsQb9n/4Q9iAazOMplVkS+aTyYrqnpdFiHBjFDISOcD204CI67mhZ+90NozfLp8OCK4TA5ReiDMQ0ozQZ+RDkoaFTW0XAZS8NmY9aJErGsuGzTzoDudqS+yRtW5SwPksfyXrudGaLIqpjo2Ng0/RGTUyg28ss8CU4LkjRySt5NGUbuEQwRlNGIzmRt7PGbdiZMgowEghiP25Cx0oO/BF3mXXxCqEeujGkZzsaJVmB4aj4jVy0gEGBjGSTctqXO2upw26GghQvVeBi/S8aXDlsgRX7mwMEE9+2W1RHq7nw4/sw15K+/RHsCXpvfPOc4vOW+bGfqJegy3/yzAKuqjag7EwfzzzPz5rCvmCe8n4Mnd7pxeOgtVeuGlAf4474q+dd3r8yZdW43yY6qY36KpvKbrWfLFsaf/XRIpXKKYcOKhn5byvSXlQKuobEgXx/dkvFgnpAAfo/wTCRw6MBtYLox7M13oF1xhEcuaGvkPVc44DsQEknvkE5V1gaY8ittlTSbqpT/nCRk+0IfmGkb6sP8SvmgT+d36OA7NKVsUy/MA+iR0S39R77Ul/YbCL6F/isuyAh0/+O5685KpphiMvUubVr6jRWv9Il8DMPQJiWxeO2YcJTrOrm/ok+cb8pS9kGn45nlXQtlmlxBd1ktkq60PqAsg3+mPCW9TGBoR9oL9gFCDA3luQAv2fZNhHru1/psSJf4SA6Ub/1DtZPP6iO+offd94shr/Sut4h4TH/cqx9T4Z95sTRENmL9thlb//503z7j9Kz0HB2qYS2kVnICNKMjoQRYecAPZ5AztVacdXGQVI8y3RUhNlwHPvm3WfacpUhiPPZ3ATwswqzozWfS5nQi190YMlKgVFSrSQbU00+d3hiL5z/xosqWMoqIm7fuii2UyUx/b+fI++oCffSbBtFUMv3ZA+9IaLEeFNiWuHt3VZ1F1Yimgz3SJnL+8wpHlyUWXdS1pW2SUcVKZ0JZkgcrLWwjsS1ER3K+8NCKFs4yK5fCz8GlaadK86Ch7S3yEUCjHF2Z7bYMOKf2wV8phPcSVW0QsTUACCE8QenSce1LBcIyXYMVATBv8CUo7TZoxK2X7pf6cg8eEMzSM2Du4Lx5fEi+Nijgt/2r3ObcZ/uDrTsP2N5ycARzqLBPkwaTgWd1YvHA4WGSFgdCtQGEkidcydkpFJQUg4jbL+0GwXahc9B3QFx4TJ29pQy2mB15WYZH6QNS5609eI9ygy8M5AyAKP6I1RViEZoeHMhNO4OUod3I2wCmXtWhbR1g1bJNmyJPBPZE3pF/eIFvFwOMBizJh+ujE5r9CIU6Y2gesH0N37xqQ51Js7N9Epvrxeekb9DU1Qdl6xak7B7Bqk/i8MBBcVWdRsTaigOuOp5dxMr9E2Ex0a6skOLDsbttX7azE7bjB/H8cwTb9tYJddvaOghW8ADMxF+LOt67s6mtCVb+jo+P4sbz63FylLg20Huqd9iaPzs1MjJ4ZYoGX7G9242tTYMTUnfkBlmnDdnO5NSp28itjpyzymafq17hT0/1xS9Fsh5geRmUlXyINaYQJvsA1doI6HfB9jH2EDkryK7AVdOPiO3fVmxtAEro/u7gwwahhR/QzgnQw/0zAUCyXYorw+qDw1hd3RGd+OWBD7S26tiW4GHR1wFHBKMLjKKdrX05l+PLCbYQPmvQvb7qsCw4ntNvwQ/CgOUddDHO8hgP9G1+E/AarDgOLwDOiH8ZIJvoCvyq+Le9eSz/HAZ5fAgBjDxQkF+jecNrguIi28goq7Nbm7vaksKYAhCzGeMGrqyawao9fNjeAgtsL6ivABrv7iicFTQoEHe3ipduLMt/jYkWBwpWV3aUFhw2ACRv3LgRq8vrogm/KoBV93YNNkze8EDYcBVAxfsCskQe2Ro7OuoKLwt8MQBWucBuE1ZWATVGPo9P7K/EIQ+lOUQ+T4XdhD7CbwoNxSfygaM3eeAv5nwHcXRwpja9c2tLfYF2oJ/hS4gfLG2HIzf9lODt+FmBewdv7t5eV12pD/T8zr//mMBLbVxbf4qwx/Tnjxhw5StbmA/PMKxgpdXFVH7zr7YNNTgOHXDLLOuTNYAmxNLc0Wo2Ake8vb1jbWvsbh9H55mJ2Fg9iblzLTl9v/HZJ2J9fVODOIrkwkVWjKrY2QKQDzCxg5ibn461lR2dtgKEcWauF0SZB8ALR1hAKAEhBHSy0xmL/YP9eP0zz8TNmzeCoLQI2xuffV2sLK9K2bFatPxgTSsFoBGzpXcib+Aqnvv4C3Ht+tWo+iBfb0S7PSFwSUDvXrpxT3GT1tc2ZZQRj25yYjLu3lnTlgwDGAMTRhxBbFE2AFUSX2pv+yyIA4ZgM8ChgIlptbe3K+Ph0pWF2N0+i9n5TpD/U6+7HPfur0enMynjZeHchAbZg72TmJkHIJI4XDOxvX0YjRZO3jvx+jdeic31s5iYaMX6yk5cuNyOic68jCu2jY4P94ZAgbQwA/8bnwXY8DAmp4g6fiwjAYBIguMS361J3KZOMzY3AOkEPBO6x4WAzdbj8dEgxlooR8AiMUZ6cUKaiclYXz2Imdm2UHlPznrq5CginO5nZufi+PQw9ra7Aqc7f3EuLrc7cePGnbh69VLsbh8GMbNWHmwKfBEDh1WLs2439nbOAn5tbhzE9Sc7sXIfcMMpoeFevjwvwEwG7aODfixd7MTpMUboobZ2WmOA6k3KUGCrDQTha0/Mx87OqfjcGxzH6WkrTk7GY3f7QO24t38aly8txMqDnSBQ6vr6brxx/nLcfmkzxjuhuGonZ91onuGcuh+Xr5wTiOVEZywe3N8MViK1GBaclrG8tAo8AAAgAElEQVTxgOKcawHuCmDhcbQ7E4q1hswjG/joHR/3Y2bOBjBGEsYGTrYL56aFGI8BCQjo+QvzUp4oaLak6UMM9js7uzE9NRt7+0cCbD0+PtQqLgbr6565osEDYNNbNx9Eq3VNW8ln3dPY3tuLiY1ujI215cBaVePi7djYohQ923vd3kDOvRgjDIoMygcHHlj2Dw6j2WS1EIU9FTs7++qr+CiyDfPSjbveim+29ZsDFYBYskXMiheGKEbPWKstUFruHTEBq+zcfOnyuWh3mKEflXAgbOW3ghN1ly9dlKG/GNMCaAUAtNkaj/2dEwGgcpCBfrq9sxpPPHlVPKAfoiMuXV6ULwmoymyPnpw0tSWNgztb6Bh1ly+fC07qYeCA8N4aA9iSyQvggZV03vTsmGR9cnJKxsjM7KT5FuPB5KjZ8DuUS3tixJHP4d6hQHEBZFyanVewcuTi+HQ/nnjyonx0MFzYxh8njlrD8ewAaWTwRN8c7hwFwXuhCWNwanoqNta3dPJze2cnLlwyYCz9b3NjK2bnJrVdvs2Ae9RVvEJiLLLVS/vzLsCWZ91eLCzMxd07q9EaOyjo+CexsbmrgOhM8AT0OE47ngpAEn3OBAtjZfHcuVhdWQuC8yID+FxiYOHoPzk5Ee12if+nidpRrKzei2ef/RwZOxit/FM8z4bdMJioTE93YnpmKlZWVgS2ixFL/sjTzIxX/8c77ZidmQnQv5mEgNo9O3dFvj6AeXplbiEWFxfURkxwcAdgpZNxpNOeEnr42Pi8YFja7XbsbAHGjB6ckNyrjofHcW6RwL7NOD07EVhwp9OO+bkZbftzUEeTYJYKmkAd4GKAnM3Zd0lGmg1YdEW36qmf41aBfhgbm4hmox9TbQcpPjo6iMGAmJB96bOjQwIhTyjIMn2S8RtDK1en6vH9kw3cn6X7jwf+6dOXasAvAyYalI13DFCmbwJG8z3S1vf4bmAzg8EZEC4BxJRHAcCr7+n1l/3J0nqDQfXub/sr1a/+y48U8LGqunP7brW5CXifQb8Ajnzu4y+W5y5/dWVbwJUJ5nd22q2OEqCxvLe2tmUAswKwtrq8U+3uFuC3/qAC0O3mzbsCKRNQWH9Q3bp1f1gOddjc2K4Ai8uLdH/w+x8bApYBcHbz5o2Rd/oCZFP9BcZmYLjtbYNfGnytX734wt0hKCX3dnb2qls37xsibTCoACL8xMfvCOBPPB9U1fKD5Il5AHAkYJyUZcC4QbW3C+gZfDNIG/ns7h1wQ+kANNvinSFtg2r5wUYBYwM4lDrvVQA3CvyySMbdexsCVSNfytrc3HkIRBNwTINsJoCbAdcsBwZyOzkZBbLzvdOT0yH/yfr2rQIkWoDbVpYBu3NagEJXV7aq42Pq6PpQ5tqqAUpTJre39yuDxpGmqvq9fml36gdQXb86FjhcgrrB72OBpibfjo961fFxAfwUQF1V7e2QhvcBnRtUL91YGQEk7FU720fVqcAus5xBtbF2UvJ1uQf7Ne2WkX61VwDzXKdutbmxW1WFTu4d7CUIZ/KhV52dFT4XsNHT0xqAj3e6Zz39S0A9QF/rPmWAWIAoSet+1hMgHoCjBuSDN73q5MRlU1/Sr60aQM/vDKp7d/iNTLivHh2dVYBXkgd4ljzb3S0gmwLMA+xy3/wW8GuvUnsNgUhN08oKbTqa7yjonkFMjw6Pi9y6HTfWN8tv82kIbClZATSQvpn90LQl4J/BRgvorfoGfKnlw23zSr+ram/PtCm96jHSPqVsy1L2jZ76d93G0NsbAdWlDc6q/QP37f6gO6TlYUDJQbW/fzDkvXlN/ZAFtwd0A9rougCO2KvW1wB+LGCqRZ4BZaRUDwMFLFVpoDnptoylLnmUJ4Ay1vLUr+r28XvIRrdb8gAIdh+g167KhHbK2U/wyD7Aiv1qdWVt+A5p0Lc10Knb+b5AKMUGyd2+wD2ty5zvoNretpzm7xrs0vRA96OgoOtrm5JB1bMaqC+4lORHykOvjDOmJ8uAVvMoPyvVxW3Buway7An4VQ2m9AYazrytmw4OUvf0K0BR0c/0scxr9B0AjLu91L/Q6v6ud4rehK7TE8BR3R+SziIAruar/Pc14fSNtZ2Xlue1IuSVn9FnrBRpu0p+P1idueLE+/wrv/W8/OLWMHvvlXu/vWzDlO2YLH/0k7JZjSKkxrd/1/fH13/dV8dXvv1LlCRXtWr6vC2liMpsLZVTUsPCtZFbr2bxXuavHTitgFK/pqxq5+v65IrYKG3iRamny8g9YSpri9yf3j7ULGCEz+TlfM3HpKUuK/MgP1bnynK+tqqSEviD5e88uOt8ynPtT+OzwG9Wa0baaPide3nf9dXyK6fBuF0uVmRYSqc80uuRtin9jmYg8jRgHSAvf6vr5DclQ5KVmu6h7OSres4KA/mTj1coqQszaO667lkGW1DwY5iBZkQ+XWYnRr2kVQrzzSn9ndmk6eIueaoEtZHuDNsu2yXTsQTKNhe/eVa28Ea44LxG3yunkkbxwfgu2qkzdWXLwcFpSw3lw8B2gWl1mpSxpLnmSdYBulLWnFOm9RP8Q+BnLR/ZXimTTlf+KtvMu+Q34m8CPaxU+ZSVSh76CT1cLpXNPsin+0/t1GvfktqXLPtXUgOfktfck7AXHjqN65UC4fJq/pQ0CQg5bN/MH5pqvsGT0St5xL3k06P3LHtQYXmtict2cJ75/mj+Xj2w35R8S/QwaUCWKBd9yj3LlvPhSaZTMv2RiKpYp5WvUJIxTO/+w4JC6eYlA58yZdXObWiRZ9VpYsJb7NznQAqrLMkHVutZQdHvbJ9HZJHtsnYnD6SYbiBBJicnxVcIqOtlclhFGhurN2ce5h95UDF4w7tepTSQMfUzvwizN67wf97a6/UIaePwLbyrLWq1P3lZ562tbcXFi7W/Kttg01NTw21H6GDlp90uJwwLrpR/pyxlfZwnNWIrcnIq+Qi0Srcc0ins5wTy8J7rZtmsn/ub9SV92St0Zw/l++g72U6s4vtAhuNJcmgl+4ntAWTGsvYwrx8t/7P/G669Ji4LEqLmzpi/IU7+PeWoIc2FEMJQO55ZyGG4hBJnNI5BaivNsksKH670EUw0UQ5Oo+U8yoh8xmc16MdEx0LF74/+wce0dJ9p6LwOQulcUAjECHND+zQVcdzojDQ6V75L/6If8Ru/BwGjFWJYjvz1X/9Xw/Skeemlm64YdVWnJGjs1ojiRLlTa4SMLQH8SLKzjpQr50UlG9Lio/ukacXGOk58HijEb+VpwqgffiC72/g51WJ05+a2yiwER7/HUrX9RdLoIM6VlQodJRWC86AI/FIO9/GL4JkVzsYqvhNpnBngbH+PNDja0pqD2Nt2/DHey/pDB3WH5eqwqo8HwzQMyDcv3vO7vGMeZmdVXjLKMj2+QQ6qShkszWPwEh+wfodTc41YXSNoMaS6PTbW4ZPz17uCC0ge2FhhW5JnvoypIjmnjzQIlBpxsIehRd1M947iGJZXAodvf/d7ADAOonuG0KSDbxVrKw4YmsaP/ZHy1I9lCPBBO6hSM5/+Mp/5a18G9b9h/zUGV/KTeuBzBYfyHgNPQg3ge8LFPS/BFzktRoN5Ba8TZwq+UI9m7O2zpSIuCBvp3l18+uxXSJ6720WRy9Ed/CQCy/r4NUYFcrD6AH8Y8sAIasT9O1uKRSiZaYDptVx8stwe8JM+x+X32HK0PLjt7XTMFrbT6G989A8+XtL7N36DwyZWyZy+Nf4Z+cI3gr06D+izHOtL+ZM8rWXFafhNHvyHH5v7GhMYyxntPExTsHVcF+tHfGdsyLqOpLXcohOsY4gooPyKrxC6Fx8+LufFdqTl2PQ1Y2112+1edDpsZ6uMT3QJbYKLgt4vepHYd8sr4J9BvyenBI3Oi7S4K2SZ3E9jSWlKN4LXpsOf+Dv5slw+99zzMdbC19TyKJwm6Tf/Ju3uLm4Ibht+v/jii6VcTw55djN1tPjUit/9vd9XMdKvVSNu3yQ4r2WPHsR2ofHD3MbI0Mc/mvlCW8T5pfNx/9666s84OTM9Hb/7Oy+I/64TLiO0B+1OA3DgBmOQy/0F2swj1wcfrbFWnnrWS9qKRWa4SIthhvuA3yMfsOeQ/WKMN3DN2JFbgOrUqNQ31tfwvXN7Ue8bN25ZB4s4A1KyJUtfsq4lSDS+hHUbra9vx/PPv6B7r4U/7jmvAUpSiN0oZtidO8vx+7/33IhAJKEe8MA++o3/57fi1z/yb+Ijv/Gb8ZHf/M3Y3Xcj0azA9hyedOOf/+pH4n/54IfihY/fktygDgZlxSRzfMXP0skQQKzeQZ4uqaqYm5+PvV2DEfIunXwYxbrM3PGxSF8PpZGisnNxlmflkp0k5D+Uwk8aFO5TT71Owsp9OrIdM5va86cfoJA8YDhXlMKtW4D30anNy0Sahb/kU6PKlr4kEL0EHnMag13SscwInNzv3F52R6ka4smNGzd9uktJ6MZ28KNsdaiKYKzHWjXLfAjiaWXBTKQhp0icMrmgFxrBTPIFVgcOqqncSYMT55n8MTTQ4oAZjThA+YmV5hP+MFr1KYM06M04M1J/K2evCvm324BgoHmlLOKEShpdFZHIly1HMqhCvhkMGuK1It/juJpYJ9gZGJcF/LKsLEIoBnSWAZ346LjNUFecqLKyc9mc8rITedLBgDc2bmPQ9THIHMSlwrvx4i0BMCb9GOM2SMwH8trb35Pqo01YQdrZTaXlKpMfDrVEos82hLc6XYShBrbWgRGIU/Eho8nLpJ/ZvFRs9isFWcYAog7GUELekyfcJwo7z5xHVQyqbAtxKyY6E+I9jYrT9v6+B3rKIo8HD1aL7xJ19oCBTw/lZL44GedkjVo3GpPyJ3QaTskB/0B+qEyXT1BWvgtHCH0jXwvzjHyhBUR0t6mx24xWnXyN2Csoxnnn4PBYTuamAVqb8tfSqngZxGssKr+FH5HrkbnQRzwg5n2ChrttXGc75Nvoyfrgs+T07gvtccL0uK66XxEotVN0CmXh4wRWmJN5kIZ3HlZ4B/6BE8fFd9K0iq+X+otQ1IGx6Piwg8rzwQO9L9iCgfyD8F/L/oHQsepR04cMPmxAyRgq+k+0cXhH44P5hM4GTJQLWuiDFy9elLM4tHKBhXZwyJiSQ2VD+HRZN8pfXDwfG+ubTqPyQuMDedI7SDszbdolT9GUv2eWSyqcxfHVot38j6dpSLiv3r59X349mS++rucvzCp/04uzP/2pTCwrgkj7wIP5Zv0xOuawkra2vsLjIS/76Fp+ii+Mfe04PErewgfqZLnmNVbcJ6fwb0PnWYampqblz0bdoZfxaXGBk9vKVXm3x8dk0CUvkUkmTIUYpbl9+7aCL4tvI5N+PXwMf1IKHkPRdZEwww1uwf3Yxz4W3/3d74uv/4Z3x//6oV8uCbMJYSdTkYgP/6N/HN/3/h+M93/fD8b73vv++MDf+JtyWqZRANT7vY+9EN/8Ld8e7bGx+Mavf1f8g1/6hfiXH/ltL2GWDkxjfbpLjR4AerHC5PRY3AhKXsgBysPP8z4AX6mE6Hw+JTe6aWQlW6eZIlp5WXEib5ytQbCt6WzIcJPglWLYBkxlnelQ1nklb/nNc/GnCJ+eSYj9TNzNY6qSjvJQ24xVcSbnXlWODDPwmN90VC2nCorAs48Wjuxdo83mIO6j1lamHgiyj7hC1CXr4To0ClxDcq6S4rBR0hAQoxQT5cqIcaem8znuknOBl/VikgdXA7Rl3eE3SqqUmnzIGZtul+OyagB3H2FQFUMPvrAEXhuwzmyc9XdrJeWCsnY72CDFKRrH0WG9GyHIA1OS9GgKXpR3M5otn1jzU1adBjGocknJdwmRw+m5XD3iYAFQFzmokWpGcfE8wJLOBi1PqJTbUcv6jUSPZvbOCbncknK7K71WBFltw3k8V/Kcl8EVzQ9WiXHCHwIUkhePEC0dfXa6R0Ol4HgK73xpRKr7oaLGj8X5i7PFAHSd5ubbpU5lwAZOYtx91asujZieYxU4ZT2iM4lB7oGesmbngPLgSvpxQMaxV5In/k4m9EJJ02qN64AHb0nHNat4+pmnnE3Ja36BgdR5+lZVQtlkXzW0SIqO8xnJQgOU8x+96zyzTauYRq/o8mAHXIhws7SyZ31ap3HKiSlyyTzcNo+mMaij06fszszUvKKdZ2cxvKzj6Vtz8/CttGGJeKB3ZHyjC5sxOw9uRemXMkL6Mad8qCv3B3GB7SmxzvwbQiAUAxs5TvqTNvMx6wSvy65BE32E8QN2nU/wUqvZ2dkAfsSCyR0my7SZ6YAYHMDRLTxzeVUsLZ3z72K4PvP61420cxUXLqbxYFp4nVia1E1t3Ii4eJk8VJL4dXZ25BBS0kskrOLa9cslDR9VzM4zeaAu0FNgHSTW/PFOx6gugkfTM0wGeA4fDUop9VZypq/YiKvldH4h29hvyiF8Pu81tDW6sOj4lUzfyHrx/HzJEVngAALO8fQxESidgWxoTCopcUSH3my//CyPX/WP14QP02itYUi/GsTy8kp807e8N77sS784/psf/wEbSUpIo7HEfBI/+/d/Md77nm/UACdkaLBVSAPwXHcQX/eN74n3vfc74u1f9sUShM2N9fjGv/S++PCHPqgTaqPl0kijjSGB0fhrwMZv/473xXve883xH73tC0sDI+juJLWwqfDSoWvhcjlQhi+LfUUeLq8WVrqcDQsLkauTtDFAFH8YylZQ3xy0kMkCLkaH4t/IAODyoNllUQ5o03WdzVcvofq+tz7r/HmW1GU+w7qV8jIXOlg9KLtcfqs8JeIPHZuyysA/srXnfItSyhmNdiDhhZ+qvmoDt0UfHB8UhRI0dDx5YsIdUkqWJUcpm6KslU1SjJGW5XEPgwZ6mfGMpsdoQ86cRpqgdHh/z78YksZh8mysEF22OF0H6LaC1Ox/SECm5SHtSBtk22V6v5vli1bSsAqkQdCrB25f0pInbe9/DA6mQRSU55lGZJW0fM/78GKElhTRoZwljZYxl5Xvkwd8xLBDgVqmkcvRvsAsPzDo8Fcblpv0JB2Q5MaifqPK3SndXvjCuS95AHE7FBqyHwwHF97MCpWvFCca+IJBZwwm83SkjmBBDQ11v2PZybqSC1hgyNNIGaV+zsmDbW2EPtrOfk+sE1353HUst1x9/R2hL2VHtzzQql6lvylP0oz8ZjVT+gEsK8lfZj2Sr3SReZ3yZPpMq3UMJcnCKe2elNJ+sNdpnbvbhhRutywTueKZn3C35kPey3yTvhQRtwF8pQ2UxbCdvW0Lnb5AMaeNEsNJJZVnKXOkHZUhvltHmCae8w86sm7Zb0Z1iem0LuGV9CHkvutr+aW/Fa0rNppWl+C+wwSTPmRdYZr5KV8w6bu6Cv6WdBV9qDYgR+rCZdoKs8r9UdpLspSrYT25n3V/9DOfpc5PXeG8oJf+5buj5bvdrSMyba07fOfV+5scevVK/EOU1Gq04uqVqzE5PRmT09PFi8WdJF//7X/7u/H61z0Zp33QhFll8F5pCs0ffOwF7bt+xZd8cWnORpw/fzEmxhvxwf/5Q5nN8NNKsPzUjKaIC7OVQRXtsXEt/SuFtsFK3C8JJNgfp8PYTKlQjZNDPggbuDN9HSM3QQgU+DY+HlpKi95ZYtqYFsaFl27cLIYNPaapLTg/tWBRHkvNKBm2f5QvWyRDRVDqlcQ75cueW3elcUacq9yeQowHikPG8WPnS8iWbhwdoFC5ZVq2N/EFoVP4N3gwic/h7hBBWJOafo4SU+dcBWErA18bVjM8qFM/sEDYpvIgb0RxIAFGr4NdQCkhxoOJgRP55RW8nsJhQBcX9eAJcsM3Kx9Xhm6RnZIsnWepqAKxjioVbQ0oCUoLnB/a1IYbgzTH58FR8TvODwdVsnWdjBN1WIKuiq4MgUNkcjO4hDQQs0U7PE+8JMpBTtnCyrZA7ljh3td2J/lgnOLXdFpWZag4y/beWso6eWumFCGjlq0LeO02VT61GMhAw/eOvDEUoJff9cV7QE8YENBiiU8T7VXzlzKGW6i8XLFdW2gTGCUOqsbgSbBV5Myy47pw2GJtddPtWwZjsI7EnyKj+BqencFHjEoGJHzmRullm5Wj1NmHKMPx+EZlgePwrgB+dPh1ITMQjqnHF95zvvAFluwgG0qjP7G9deCfhbscAeefql/Z9293l3eoH6+OhKVRYYQn4onrr0TDHP2L+gEtkHmISMVNNG3KpmoOw+r4Nz5ZtE+ustnI1RaPsnWfSn+35AvbKnZDkJkkmTg5YtuL9yE0fb2cH2WBGm+sMFVE2gm4leyjeufoxNACqptxuPCFMv8hCJ2Q26yuN6uTtK/7mPU4eqS+WuF4oL4D6Ai+U70z+GJ+nxx7ixQ58wppU0f54anT4K+zJzw988B6w9vrtDEC3owH9/FhzDYEl634qSmfpkIWrQGqObyquH0T9wcuTx3u3Lsv7CXfAevrUD5NXnClnIagaPyOx0v3H5drnWy8Mk8cG9E7w6UDiIvUM+BPpZ+tZZgt4Lrd3R8FJzM0sMDfO5MfmstGX5/FR//ghVrmgj7F1maOL031W9OHDmgE6nn1AeNqzf/V5Z1hcGPV28r6oVWorO+r8Zm94dUo6w9dhpp3UEWrNYiJyY46EC9npyRuz//0cz8Xv/NvPhZXry/FN3/jN8Q73/nOGKIcNyI+9txzcenS+VJmros04gv+2OfHL//jX41vfc+3KGQEDYiS/sV/8A+FUTSg4fqDGGsMYrzVjOPeaXSmpuPBMqBbZwLpOj05icMjwNLO4tzibLD7hULe29+MJ5+4Hts7B9EeBwtlN65cW1Lkc5QpxszkREcDFkKpyXSjGdPT+CqB7TIuJQ1GUb8/Fvt7B7G7e2Rn2YLX0Wy049691VhcOif8ks31nWgJ8dmYHTiEP/Xk0/HiC7firX/8zbGxsRnnzy/FrZt3dGLh4sULCsTbbLXj9q2X4g1veKNwWKYmJ+P2nXtx/doVOSDu7u7E9vaB/HOmpqbkBwL+0o0bL8Vb3vJm+d+0muOxtrYb167Py6+KQWF35zjW19fj+vVrcXC4r21KBpbzF+djExyozpjA6yYnF2N3x8ExUZqdiTH5DigYad/K+MrV8xr8mq2x2Ns5jGfecDX29w8F0Eae4PfAUwIYT09PSXnMz79OgxDtgoPkpUtg0bDNNKZ3wWAB1wmMFmgB/I3wNhhpYP3cuXMvnnzymmZrdGJ8HBgUQADHGZ1wJ/fvbcS1axfi9JSAwY24f381roN1NejH3uG+wNjAxrp4cSl2d7diamo2bt68E29607Oxvr6hrSoOEIy1WiE/t0FDS/8EPwZ7ZGNjS8Y+6NlzczPFEdIrRmwLC4NKBrpDq7CdsbW9GxOdtgaAJ5+6LLwXVgjW1vdjbn4iAhnb3oxBf0xbdBcm5uXAu3R+IZ77+EvxBV/0rBzC19ZWo8nKWLMRFy6cC5wu8UUC8+bZZ59R0OOZmXbcfOl+vPULnrUibQw0yEObt4YHOmhwdLgn+gFGnJrqBHhGc7PTmvmCD4P/Ds6uPPOgMIjbdzbjTW+6LqBBDCwU8cVLi4GcE44PLKfzF6ZkOBzsncX09GzsH+zG9ScuKDC0DLsBMjaI45NThak52D+LmVlCFBEk9UCAmRhcF87Px9rqhrZCGPSarekSWga8scOYmGxqa2Fnd0dhUW7cuBtv/rynJbdgDq0sb8RTT1/SgAx2DQB+4JuxzYDRTLiZtZX9WDzP3hYrmM04O6nibNJBuOHB7i5gt81ojRP/sS/EdIAewS+jr1fVsYzE+Xn8Do/j+PAkwEFiqxuZtQHZivYEW1ZzAuVkm6nXOxGeDThf8NbGqidjOFDDJ60gd8Yk3zgH07dmZvBR6qvPoNdwCp6bm1Z6Do+ALcWJKpzmwdwCaPCJp84rbNHBwUl02uOiaWqmI+BJ+uX+/onilbXHxwPdfXwIWOq++iy6VjZFVPJJZGDGf/HsdEztRP/AeCIcE/5gZ72ewvQgm91TjN2GArZiSDLZPA+m2uGxcaVOu3H+wkK0mmCy7QvbymMIvAR7qqvTzPRh6kk8y067o9BH850Z1YPoAOip8fZ0HOwdxszsjEA80RWtsZaC905PzwhfD1rou+hbDLOJzpnGCXzs0AHoqYnOlHRKszEeW1tb0WnPaJyg3wOOOj62qz4BTlf3jDTbcXrcj7F2I9bXkJVx+XQe7B/G1NRMjI/NGCSVMETj4/Ypi0Hcvb0snyjGFMbRU8IwdSaE8s4pUvqDjJ4mepdDH9MCyRRWWZ/Yct6qxHcRTDAm/5NTIaw4MAKdjkkPE1l8kTrR6zJRbMT9e6sxPT0X1JGQQhxiYHw5Oe2K7woIrPG1rYkV49fe7m5MTs0rHqiM1gH4Xs24e+d+fM6b2ca28Ub7Yfjl5x/aqPj/KOFrbktO9ZJhXsU3vOdb44u+4G3x/vd9Z2FYYVqjESjLf/vv/l383b/zs/HiS7fiDW94S/z1n/rJuHB5RgbQf/fT/2PMzkzEf/kdf8mrCAQ8rCI+8IG/Hb/yz34rfv7v/0wsnmMvnZlJP774S94eg25XAHbtcRqyaydb9uCnZqMzNRM/9dN/Ld72hV8Y3dOeBLM7qKLTseLCysdvRVsKmjWzctHSgE6HZPbP4I6CwAnSSKrMsvCNKisnBPTsNqM1VpbyobwP4NhhzM8z0ICUi2McPjwtGSla8WkMoj3R0nYUAx0rBMxmASFkUodRzqA/MYkC9pYegmyaUTo2RlFInQ7GBMq0im7vNKYmCc3C6oURuw+PduPKlXNxeooxwepRFUsXALljdYUVABTqhEKqaFaGQfqQkKvKWhGMAcFxoQM+0Ndy9pHBXr1NRsdhdYiVROiCnwwWPtnr7Rb4yiScaBzMclmdevH5e/GGN14vXa32X3IeuQpG2kKTPiHEF23p2RvlepsIxVyn98YBDmE0lGQAACAASURBVM4ODYKdVcXe/rGO+7ZwR1N2yBgBRZkKeJbt2/4O48rEyYqAmZtWLlM5WH7gr9ORj41K6KM+zoOTachd5tuMg4Oe/Fe05qEVIPuHsRBEbCjqw8m5iUl4in8TzskAD5qHnnn6qD4+PV7mR55w1E2H34GA82rakJ96Bk7DUB5tLcppnyY0kgb6TS80vnR7OV7/9GWhiFMt85ogr2WbWP2IXJIHEb2zRox33N/gxclRFRNTPOdqxNHBIKZmqI/bkbtnvUF0xslTnNOK03gb3jgdadOAyXyUFrpZ9Rtue5qfNf8tH6yy0Bd5B58xnnNPceWKTJDHqcAkcRw3HSAeT05OK/QMdaFv0JedBwCBDgjL6qlWbLVi2I8JQt6QL52gyLFlw3xgdRsDB37mgFMfQTfNGEj2ucQ4r/uEMzYXxNHST6kbYKrTs6SncA5o0MZejRluFamNuUf8P1YW8B0qMg79Z70Yb7ei2YAPdhXghO7ikkEhqRArMufPL9gNQdvurNLsCtQ0V6IJzbF0fq70jaaMY02qiihQp5WVtbh06WJZoRjE1uaxQ1yJL+5HnA5kwmUesAtwJEBJ8VchS44EZAkf81pdZXJ2vvQP7qsxZExLVMUD3+P3yoNtAcKqsRSjk9XMluJNOttG3H5pL558GvBIy+mv/dpvx5e//U+KT/Dx5s27cf36E0VWkLFKRvzlq4sEL5JewDGciS5jj7Ylq4EmkteuX5QsEeP87t17muBCCzLHRH1uHj76NDr988GD9bh69YJohD4OZwDEK3mgQtRpeSsuXeYeclbF88/djWc/95ojAuhABrqePs9KYN33eFeRCnotxS9d0LhsGfw//8WvxVd+5VcUfWhuJ9+hNb9nO3y2P62xPtulfAb5wwT+42QSkOrzcwtFobqjK6sBaKBj8RVv/1PxMz/7N+Mv/IX/NF544XfjF/+3D1nxNAgP4FkJnRolIvXciOi0p6M32JMxQDm0dKPViO/7ge+P7/3+H4gf+7EfjR/50R+MH/rRH4m/+uN/NX7yJ//b+K9/4sfi2hPXY1zL91WMd8ZibWMtTk5YYmQljGXlXqwuc8IHpzk7a4M2a4XpewzyKC7SdCYa0e5UcXBkqHkPkM1YWdkUZL1ZxvL1UezvbWtRFmRtBt3l5TsacAgOOjmNIXPsEwpScn0pvVu3byKHZcBndWF7yEfKOjg4EIqvOraUPzgmrg8za5CyUVKtMQdZBQKlPzjUaQkUdbvDINaPGy++oIEARQsfVlY4bkodqcFAMwYve9MC/Is4PnR0bAYM+g9bEIdHrDaZNwzYzPDpDOTDKo+Xja0U4B/HmXOZmDAq5LO3y8zYgwvL8PMLGM/OgzoLnZYE2oYrJzKKgyh8QPbymDHl2nEbY6dECC8+cqsrW2WA4KzlIDa3d+XArDw4drxzEN2+T4xQR+rjo+EMJjYkVh5slZVDOv1ARi6Kirrhm4bcnOjUiZUvBgarLTzPI/issh0dsX1DGmmd2FinDT3zhtdsBehoND40Tfh65K0WuCBDxUe6MRR4DsOZ+YoOqEXRNhs6wae+JFlBnghhguLjOSuLhLYoBqLCifQUDkMNXpy4HWLCxhLlcaReW63liDrts3RuvmwDeRBHB7Di5YsDBIYmkNzK0GzGWQ9Hd4/wrCbt7nFKjoulfXSJ20LhdgocBpF3aG9dDRCT2d5B0dsI/vhH78TJaW7fENfrWLKofGUcsMXA8XkPFrzHzNntZ4OT8kB/zos+cv/eto0tZdSMg30Q5V0mtBIcGsR9ZBT5g0RCb9i3CSvMfYA81eoNG7luStOi8tQW+RsZBpbD9fWWR8q3+yS5KexNcKyfdL0C7cEWDBfBk9n6z2P4ZTJR4mOalY5ID7yCBzPrbLafGbBtcLC6durYbcLP8iEDVsqggTqpXSpjEvGdf6xyEcpDtZaYVjr+7zxNIf3d6ZWLnMutQ8RsPVtcBMfIeWL852EG6kcdWFEBLZyLvA72WfWdKv2Wu4Y98HNOJw4U2YFA57yP3qAtCB2iq8j+vbvLeqZ7FbEY3UfdJqzATsbBgU+nUifyGp+gL2MYu92+/MvfFrs7QDSoBvHkU9fiwfJ91acUJhT+UZ8z0MzhQX2vEVevYfj0NIlhW/zypat+Hb/WJnEh4T23LH/0y8uXL1n+S31GKiP69vYOSnBxmxS4qOCUT/gk5+OoARYCFgjYtiMKgeE9aHnGTQwntbFiNA7iT/yJL9SKH/fcltBlfqhehfJX6+M1tcIEE5MJrKJ887d9W3zVf/xn493f9M7SlZJZ7gAIeTbGP/nf/2n8nQ9+MH7pF38h2q1G/Pf/w9+KudnZ+Mvf+k3mZRHmv/tzfy9+/h/9X/Hzf+9vxxKR7CXlToLwosgt+FbADAac5vmRH/3x+NqveWd84R///NJgSUPJXvkXx0m9aoVfcvZH/i0dArAoYUlJkZEfgoCSc+RvrHHNvnk+ssesNEppX4lRvsE/fvOe/UmoIg6nrCZo2iul5NUThNtpnafLRniVh5wN3QHgjVcXkk4q43TZZsPqqWw/d508W+AO+Sb9SlF4Pqy7uh+zIdMmdui90XIzb+VYVipydcD5uw0tH8kHZrwehEZp4LsVO+88zEuLhxLoD2mzjUfbfzQPl+k8aT8G7VKX0rY5PNIGqZhcO+OEyWNBs2jy9ckWG9T8RnEUuVBLcs/3azqTNg8Mbp/kX8q333F9Ra1oEQ/SyVQZIjNWuJYpblJHZoieKZqMOv+kg9csZ5RpeXT7O4XrwXdoKcU80gZO+ehf6uU2E2nDd5IPdf0ta9Yr9YoHzy0vkodsUxlYKPjMZ/Qz6XPe8n0rSpzVzdGTe9CWfTf7o/N0X2IATBlwvd2PlEYV4m6W7bo7n0dkaUhv8iffyU/fp9/7gEemG/10WskIekO6xnU0b5NXrr/fTHn2r7qO/CY/niMjXM4rRdV8Kyt0JNWDkkbpR+tIOlal3CajfM12rT8zL2Wifuw2UCG6aUd2yirtMKIjh/zWCh3L8lSFP/qi93N8cFr48Wg/RH96BZ/3RmWzpsX8Vh75dVhGXZbLJVUeXKAskyP98NA7kJd6B1kvac2Kl/3Ft4sV8YfLgMdcNb/crr7nom201P1oND20f+ordWvyxamTCdnuyQPfZ2ek3QF8NNO5fp+6pM/eU0vOZy//zyjn0Y436PcVufxUuBKjjeFGI2OW9SSY0Yx3/Gd/Pq5cuR5Hp8xUmvHk656Io246LVs2UFQ3796IZ599KhYykn2JWm4jwexAieqiZct1cHzoibsfFKs9n3plRAJIh2mw+pLGQSoaGtzftR0CyCH5DwXBeRFQVFsYxfDhN46svvgEv6fgj5Tbo9giCDMXmElJPh3o/n1A3zz40vESw0SdsDhTs49P2dkxH8WIIb/1jU0zU2teESxFMyi6o4GlwyqI28UE4DDsWUMhTfS5AzDw2TB15zXtrlbhl5SbA6xSD1840xYeFJ5y31AKvE2nYqvJs2M6Kv9Y4XM5hXGmRPfMB9qsKPqcSQUrXOTDu7TzWJwCV8Bb/X6cHh/G4fEZ6wHFGMTB+0irK+YLNLOsDx4KX42nxLYpq415MYTSPmw/up2gg38YLKTiZedlowPH5eJMOzILJchrvQrhYLbmuygW/tao8kHWWbZ3/pbJXf1Oykzz1iZAm8gvacZCoIZa+XH74X8FoZLpMljiS2ID1X3VhyCs7gszyiqU+cBMltWU2vioabAse0u7Lof2YsvK/Q/5YKvbhwxcX8rBeZn2NW3wjYCkGPFF1hVEFV6av+Sz/GBHzsimoKF4fslH8QAn9q5XJVj5pRxWmZO2bCM5TrsBlRXxDrNf8s7Q+V9tjBNuP/b37AuStQfMz/lBH3JO3bhch+zzo/3DsudU6La93VwtSz5EWXUy7ci9/L9kJPAewaxT7jF2SYejcb1iBv0ApZo2l6U3xSin5z0f2DDN0LK9caJVGPPbW+i0Pfn5Isaeg/yyskYebBvzj7LE/0Yj1ldH9LsClde4ZqRJLDTyhHyMRjvhi9mSMwXoLaXywWq2HJGLvLAd535mWRMvS/toAhohoFpi96mcoq9YfUydAi0P7q+VUlz2xhqYceYR9YYuO7H7OZOR55+7P7KyVcWdu6vlII7TsH374F7iltkIXV/3rgZlcrGCk1e2EwjoKSvcYyvTvHefcRuXvqEJdch3LduHvBM3z/LulTmDWUpM5KhtzL6Ut0bs79lnlXfIC384dpKsj1rR77OrAf0890EYfHGJ3ed3im7OCj2GT/fAx1DwpytSHYMZQPYhjzYPvZYCwAAxaPTj9W94fUzLgbQXb37z58XHP/p8SV8yqRpx4/at+LNf9ac9eVDDeeVFM58iwFauvMOMn6PqjZjHj2nMjnBkuvxgJY7LiQsGEJTN1kYZwPANISLztp2CTSc+EV0p62H+itrMsiuXhWFtbXtEyDFAerG2mp3NKVdX0mjhNyej+mUriSVVN+nyg42iyFz37EAWetCeASfLQdlCjXOkL4y2iI21WjmybUBkbCKtZxpOyRF5PPPmc2ONIIqk8EDKCTicJlHINkTtG5LKBEYdEqFc20/OmUCuJ0ceROEdA+L2Jic30sAYyHnQp5Tc+ehky8vu+LmEzYmkYTn4CRyeyofMPGDF7OUdkK0LXeXEF3Tjf+YOC3hpFQc7R5KcQasZ7c50nGAYjCj7g72u/UWKzEKnTv1ImO2jsbZqkEoX5tNf9ekUTr+hpFBs9XYUjuq1kmXA6ws5njysHisFSi7CraQcGiA6ulNwGgl/pHoApGbHhym3DAqc5hzli41ftqdQsvCTNvFgRDrzxgasqSAd8sVMNg1Q3vGJUCghHQGQDwpv7VsD6B5tV7ezFT7d0tuHoA7TpyzT6p8VW5UMCu5zNKm3jUwLpdlYYASEUzbS7UNoXz0e6LSnEti4HvTGtIWb9Rsfwzihf5CJy0eedOmnDbEhaTJsBuXEGHyyQa1t/DRKBCyYBgeZuL8bANBZ85cTR1z0L/6hazweuo5peNd8wSUh25g3m7G9eTb0A7HcY7DTlmVAU+Bb18v9GRDU7G9efcDHadDnO3mLpMILy0vSZOPHoopRgQ+WB0EK62lgxCfNOg8kfLakyYNB2r5NZ6e0J23Buzgt85557/sg3ae+8n2MH/PAvPTEzXRmu7Bz4fZz3kZ8F3eVEFwp89ftBVwNW+o5wWML3rJONpTPNqR9s/gOrRirrm/prgIFTj1ves7OvLUJz5ArPtHH1smemPlEctJG24/7FGyRP4x+AHGH7V61ipHr9nA9XR4DaY4N9q2DD55scBDElxs15czve2KmiTy1tYj4VGORY+rKKuvQ+KwGioqRqPzWAZW2091nnQnB7O2Lp5ZXvyeiQMoRX1hdSj1Ne7oPFnIfw0dK3GMo+uEis9FpLL4Dbtjv9aKLtyxKathB6/dyYGTJ9vf+/Ytx7cK1GEcdV6144xueiX53ELdv34uq0YiB4NrXoz25FO/482+PMSkK8kIpwAaGPAakogzUGbRMpE5wdLAfpyf1jGZLIQ+8QgS9zPqETShqff/oxKs8KWQoEgPxQTmGR5nVqUqmwcrDisqC04xdWeYkcod8aOYUTUU49wy/5o0dpJNpnHi6pIfuDC05lrLKMapUiIxNXRBKaLb1704PLRxj5ZSZLzuXn1uckyFEvgg2Slh+LyqagR+fKn64XXm3nsGwd8HsCn81+OEO0T3FAEzDDEdZKwZ3GLKy34Y7pDs+Y5mOiktUPLj1eqfFT4hS3Tnxs7JSIg8bA7WCaMTEpP0XrCzsbOwlYWUhf5NKvj52YIaWBFYjH8lR323Cdi75nJz2g0U3ji2TBAXD6sT4uOlEoYB+jK+XFYK35pAFt4f5p5UuyS1t5MMDzMqszCmrZURx+bn4nSefeMIhPHQvAiBL8w3+el1rfAxgwVSGzTiHH5Gqi5KmrEZcunipbOn699L5c/VKIrUuoUn0YnH0n52bURreVx/RAMwKrMve2dkWcrSVKM7mg5iaRL4oQxTJ145vAHuSD8f7XRZi0NCKHMqaPPiNXx+nkchDK4Kc9yEEmerqPgboplZT5I9i840o8S7XxtvV6wAW8h1CHLrC45QHWu7jUIxcpRInErvpdJ+BTpy8nQerWhgcCSBpeeLUpetqXsMneCuKy2pKu2N0bd3UaznA0WY+XUcZ/ufByHmWNxr9WDzPCQQxtQycTBgYmGkbamFZ5T3ypM5NDp9QHoa+/uGrycqIV9ZIe26JSSTvKqXSGfuMfOgj8I6wGl45j2o8OhP0u6J3VT7GEGXZrwY3hYXF5Bu6kkMFgLLWOkGlSY4sB9ACajU1cZs0dAq15ospTH5znzpy4m9YP60wneq0smhnJeXoqKByWyfSvi678DtacenyhZiZmSrtjI9TxOERkzeXQfrlZUdIMG3UyathsJqxoN02XExTOsIgt294Ft8iFBplhU7dds/KSm40YmpmMo6O8b2rr0mc/4su5h1Oc3Ix6XO7Jp+sWzCiFpcm9Q7p4EsNK2L68SGcmQVINOvjkVd+aaXoufnpuHbtktqfPPb29+V/7DyRD8K21CF/yIrV1S7GqBIR2YB0KXPo50Y888zTMTuLHlGqUtrj+3hN+DDRkDAkGxR27B8exl9857viK7/iz8UP//BfiSadXTP0iH/2z//veOHFm/Gud74jFhcW49d/47fjN37zt+I7v/PdsbSQaKIRH/r5D8dH/tW/jr/+Uz8ek9NT8eFf+uXoVo34+q/5i+osEgBtwdBItXJ0c7iBoIkdse/53h+Ob//L747P/7zPVePrPife1Mi8gXMvaN4oAyst0tiqp26U4XKUf+51IwhOrudg4kxOgbzKZed3TiNJoUnpNOVIOjU9oY7OjIytNIRqJCMrwcIvFNrKynpcvoyzn/PFaJmZefidPNbutsB5eV+O0+74fo8OjiCry1TGEzl/AYRa6tGIo2MCV04UJ0+HoGGG1s4TSUUhW/79jvbpNXuHEUWBi3Z3UM3YBiBHZ6fxKpUdJ00Xi0AYIUBLWKl5hmieW6GzUsUg6HueFTHY1SeXmE0RsJMBKdsfIxBjONuV+2zJebCmjXG85vgxipffp6cYWiB+F3RvpenFxPS4hxYOJQjPCl8CZtI54Lgu/FX5Zod/iW98zZsY6aDLkzT54rI56ahBTE7qbAEW406AryBYQ2vKpFe3pGjLxIEjy0JeVrZo9Gbs7e0VhGZ4g3HiAUS8bDS1jYEh4sv0EDdxYgI55a5PVWLI+8LQs+N9Ir8jUwwYnkxkXn63vFQ+4EHyYfQ5/Gdw4RnXSH8rK0s8A/dnvI0MUw/SslXTi84wCCuyvxfzC3NOo+23fkEH96Di/uyBjHKQB9qUo+Zc9j3xqTEGUOQCnrFiXJcDL0brgRGR9c46eADj8IUvy4q6m1ZfoIf2NTCj6wS3s33Ka8OSzB+vgGSeD9Nh2WD5icHX9GFW5haU+wbvwN9R2a3L8jcb/siP+exykheuu0WdFQzpSsorhl3W0elGac1yyC/bA2Pq5bx7iL8YetqKdZ20dV1WichHvFO/h17aLNuNMlKf+B46RrkUfWae+B3aA/5KT5Y2ShkgnTlHm5UxTfW168VQt5ZUdT8zheY3fDcvaZ+6rWseiX4oVN7ZTi7Z72YeNQ1ud08IoAOO1Dzg96NXXZ6fFL6WZPkreWl5IR/KLAJZElG2V5GLAVXkivKRHY87n0rWHqXts/P78VPwCvUiqOU//ZV/EV/8J780qn4Vv/Hr/9oMFpcbceXypbjxwifi+9//Q/GBD/xMgHnzIz/8PbG4QCweMtSf+Jqv/er4uq/9L+KXP/xP4h/+wi/HxYtX4uvf9Z97sJcw2VDzysWoQPi7O7YNuW6/KwyRQoiWH2tjyR2FuEO+yqBfVlWsaGyVS9FKKfAbHJURQLkIGUvEuco6MFvj5IZqhYyjnMsKQg60DG6eobl0/ipYqvhFE1dxRcaS+cLvmRlDKuiNchtDhytTOYq3bknIiReWHSiVWkL8o2yoz+QEkAJkUnqETgCZn3Qccmc1jg6iiwGsyxahV9V4Tv21sIhC1moS2wMepP0SK5AslfMcaovvjwwDFJv5b56gREnjVcvhzJYhpuUTQcPBo0Gk71wBwHnTR8NZCXIeLl0rb8MBydhaUr56QSRr1cl1rIRF0mj0fXZNbLEh3Brj6K+7IPY0ODhDvkQ8FIYGvo+emoMSDL2uZAXBgKcuu+a9lfD+br01OTHR1vYHDrB5OVI5EwYPODOz00XMcxVgoGPU1XBA8pah37df3HgxFNyspifDTtCP2GartzbFBPniUYe8qv4gwGzS8Z1yE5DNUd5zktDE+T3KI5ZaXh6YaW+eOw1+dXw3bT71KX4FMAwe0RwuglwsK7NzBVus5EMoJD3SIEIaX9RNV0V7mH/csy/aw/qFpDaWeMPvIftZJkMFJz/TNw2Z4ZmLqE9LmZ8uljppZ7mwURMr+clppBnygYmYh+oyqJOzMnZ96UMDI2CW+83oakXQGbt/AyQKTdyDbm8PmpLMLz+h20ZxGpeqp1ZXOSyQLGBLCxpoH0+gyG9nq9565f2zU3DS6Cu8yD+MdNMOFAF9mMkOl/NJX6+SLw+G/pm8798GbeWH82XFFr2R7Wp/sWwDv0b7WJvbMMJ/CSgRyLcZxXY6bgjUGL0VsbZiH0AVK2gC/NSgwf0fyImDYTxGP3rpxfUhHdzBP2l3r6xcVcRq7MYypy5ljLs++COJjWINExLGEpcBNfDG8kSO3hVIN4SUB1Z+chtMNRDeV7fUDT759CCfqnFlf7GtTfomcgFe2klsKAg58ul7bH+qVI1/7GCwsqhbqifyCSSI24L7BAbf1fhnumkHnj++K0f4x0cB7HlkdWlpaTHe9a53xDvf+Y5ipdPgZjpMfetb3xI//dM/9QjNSCtpLPg8bDWr+LIve5v+ZWI9LSez1LHywfCTFOVC8hA39pgHgM6xRw6q94n8QHpnxMNBKM+ErQQi74WLc8NtIARxemZS2wiuYxmkWbWS3uETuu38iVMijnznznWiaqE8zwIdALQAK0iAmTGo7WwdCeeHuu7t4VxIJ+jFwsJC3Lt7X5gaD+6txRs/53U6Ds7R0vv3t2Jykm2EBUEMjI9Pxfr6aly5clkBGwEeA4gPsEVo3tzajN3tE8UmApdqc2srlhaX4vlPvBRXr4FjwkrTmCK6z851BJ7JgAiGE0YJKy4yZISLRBvbV4EBEr3MSgPOleBBsYIzMTEunxG2XOgojWYr2p2J2Ns5FqAcDoOdiTk5lTNLxH8EcLzBCZ31ROCH21vHcflKS8u8rAitre7E0tKCYBaYvdJhCSTZmQBiAOWBg3AviDV2xupAc0x+WgApsprFFqz80876MTPXFr2diXbgf3TlSlux9PAHYrn92c95WuB4YGwB9thpt2NiCiA5DyrQ8szrr0uR9von0WpO6wg5ihWlqe0EAoD2Wc4/KaeaGEIxrvCrsOPyxCQDhw3iZhNQOla/7ITJFiP8by8BMOgBB2N7aopVHo6wH3iFY6Ij4DoMKbbNcNYEHBJdRGBOVgQxesFi2d/fjbm5+Xj+Ey/E9evXBcfBEv3zn7gfX/S2Zx10F+ypPW/XYhiNt41qTT/xVgXbAFMKYjpVdTQg0R+QZ+4zm/V2bj+ODnvCp8E3A/sDB23k4MGDBzEzA0isBzPoBDAPUNWzk26Mz4xrEpPG9+LSVPFB6sfhPvhiEiv5gGCc006TU2PyD2LCAYbMtWvn5GeB8QRPFhZmtT3D5IOtA+JBA0IJzERrbEywAuD+0P/wo9rbPZMcEm8NaInZ2elYXz+MixdnJfOnpyextbEfV69f0CRhMDgLnMBJ12yx+uHVW3wHoR/cNAavne3duHr1ovrJ4cG++qeM5S6r2hyOaQmMFX3AKioraAyUTIrOusAytGJn+ywmp8eKcUL7WAcBb4KhxLb59mY3li6WLZxyxH5ufsqTk14vqsGY4D4uXTk3HHRfeO5BvPFzAbsFo8vbxKBcA7hKfeDT+upuLJ4HZBFU8n7s7w6iN8WqrI330xNPDpbOA5CJryMwCBizGD3dGPRa0hNsjxH3DBnAGMfp+9qTU4YXkV9dLxaXOsWfE+OrGa1J4xHhxgCII20HCC2ySSBh/MMmp6ZlbAG0uLN9JOiWufkJBWw+OzXi+dwcehxZHJNj8rUnlrSSzT1cLZgfzlUT6ncEngXc9nM+d9oHEKp+LD/YUmxI3scg21hDbw+i0wakGKOqFbdu3o2nX/+kttFwdN7d24md7ckYb6N7TmN/rxvtdldAnDLG+mOxtXUaV65VcbhvINH9/dNYPG9UbQBOkQfixaE/AOakLFY5iXvIRAJfPuT74qVxyQw6hEkKQKEYJ2xdG/QUP8IxjUWGQDiO6WnAKOmnBooFGR/sLMY92h6w0AsXl+RegX4HGgaMPrbywO9iXENmgXHAXw7Q07t3H8TTT18v28VVrK9vxfSs3UlyWH6cn68JgwkGpPFSW5D1smgaS2LUI8aVmZeW84ixo0yJCYQxYUOKwQd/JmZhtsL9nvN4+d/R3Pq9MzUoA0+nMxkbG2txbmEsxsYnhKmBXwhCyWDvLR3A/TzzzX3kdErE0EDhQdfWIYjAnZhidafRiLW1rRhUbWHbENyz2z0eLvOzhcaA+uAYmH1b4gwi4OwwkHPviSeuC/wNwcQQIwI2V/fsNK5cAUujEecWQKDejaeeelKrLNDHfQwutvo4hXfuHOjKD+LcAgZHUwEncfoGWXluzsEnqV+3RyeYVydoRiv293ZjaWlanYjyMYYGZ4SvaUmpUueeQj80Y7w9Hp0mmEpH0e+1NIC125NxdNSNfhfu92NuYVIIvhhFEbPR6SCyADIeq1NNTLU1oDJogdxLB8SXjPocHh3E5SuLamtPk7guQgAAIABJREFU6MGPctuzdYcyYfsTxTxuFEwZH6QhH1CKWfHAeGBQZwBjRkSgSZB3xwNU5yrmDhw0c+EcW5zMLifl35Jx7DgpRbR4MHbgVcRcrCzv6FSf9+eZbfVVFjuTDHRSVF2vEgBs2pmYlDFH/hhzKJnDg16Z6TZiato+OBsbq3FuaVK0k3Z9bWsYYBSU4l5/39uLBDhVQFm28XJmHhroUHTzAq4D/2ZOE5HzFy7I8IoGq5AED53TihFKkwufPgbXvJB1lKCMNZl9nFYDJNBgd6RjUEAeJibsF8c28fg4cj1Qn6ANTk7w6wojqes0G36BDdNVCtNuboTq2Wrh94gcEBC4zN4HaYTTd+3LowmLAg/bZ2p2dkLbagwqlI84CGgxxoWRA63zC4C4VtGecB7Uz3rEviLT05WQvuEP/MNomZ4mo0qDHKuvU9P2wbIcjxlNepplIqOc7u0fRbsdkhXymZpqx/7umMSXlc6Fc7MyEEDrZuuV+nD4Qn5hFXqlFa1JA0qyCqIVU1jaPIuobJzCV+g+PDmLzmRHxhI8xdClzHzOdrGccismOOMaBNNdAD3Ide2JC8OtSm+tDgzairWrBbdBzJ8jgKrTkwZDaXqmKfmhDPrhTOE7bYZMcOK12STQ8ljEeCPihO32jmTXvqL4H6EjAPEFFR2j2z6jubJ5dATGD4GwmZA5wKwndMY9UlvKPiRvVpYJUtwWYDF1w3C275TfxdjhIvCsxxUHoe6enUUTlFp0hlbuI5548oKm7gAMI4uve+ay3svxDaDfBcmT1L7akMDMksOqioVzUxF34N2c8pme7sTJ6UZcuLBUeAk6+WFcfxJ/t2YJoNuMKSaq1UDRC2h/DHnAlRVsumDLeVW3IT3W6aCj6R/4eKI4I2Zm7Y8FrUw8eRcDExnBWGLyC33whv4tnd4lQLpXHxmL2hUBqydlWE9NmTdE5fC4B5/IC0BNtyGyzGnwq9fOC4hThERLvlMz0m02KtUAj/HPa8KH6ZXqT2PRQClgr5SGe6T5zC4UQl6f7l0vxWJuvfd9PxDf9e3fGp//ljdJ2bCUT9mmEUFhyZx96fwk79H8ycVKI2lmRYZQAVY0Ts49YTM1UcY++eM9XPKizERzdt4uv65T/uaoOCtLNjYxEiif/IwTQmdi1cUrnDwbvcibE0QglVMsqb0fzuwRkLZ6a6u8J/JIwymXOi/Kg+YcWJK+VMykzLb2W+a5FbL3+VW22jr9CLK+yQNWHcxb5+GlcouGCHukLWq5eSX5ShqTZudJWxuLCuXhcB4eXKiw68Bv05Gy4Hfzb6Yf/c33EYaVrQ7nQ3ubP34j66JG0a3kr9uZ57zAh8sifpOck5VRuS87bJSXo+WTLe9ypXz7t+voJxhVli///qR/tcM22o/JC/qROdeHfJnZZp+qy3cd9LvQT9vwu5bb5Lfxatxnkn6oos1S1s1P0+p86r5lI8L5ltqUrYNsn7r+roPkYBJD6+VXyhBPRr87ZdaLX37bacwTjE2MgJoW9z9tt7lxX6HAGq8o6c28+U1eYt3L3/SdIi91ZbJWTDPhrbcbSVzXJ+uRfTYzf7k86Z0BeaEPaAf7XLm8Ud4Deolh4lO1NQ9GyxUVQ93mUq2fqKT7RNKQNI6+j762zyptqtxyrBniPjnXlFP0kU9vWt7grUSSiRpI/yO+rNl3na/7mdPWtPgZzW+euDTTLDnTqiu7GyN0DHWraVa7ll5kObaOd7tnXtTb5daynnn603I9LEg36zbmJ/lmvfldtJteKXx3VkWes2y3a/IwkwzzTj/elCnKUdWSFj7ruvI+7z7Oa5QLj5OOT1o2DPpU/z7pi6/4AOaP/nvFRA/ddAPhZNzzMVv5DNCZbQSMJmbpmzEg/QjyWebhz7xrSR8aS+W28lUvoaPVaf0uiomOap7wdLTDZ/58sp3gKwWsVniiMRVEEcjRfJ1PgsZRnh0LuS9jSScJER2e4cOiUV2dygrR9I0qLr4/TG+hTnWhrjynwn5XviX8VmfXm3ps2pzOHTEHTx6jCPMZ72TdXZZyEVPN2OSdP81X0njPHaPLNPvtHBSYnbLKAp1F6QIMKMct7jk1H1ZU5p/v2t8HuqmH8LXkp1J4k/dVD3wPzBMbjyN5qwzqwL+kEXks3RkZLHQQ4kHKTlVmXuzBM+sOHXZSdf19X9SbxhF5M+951izyxTvULHnnzyxb6YvB53Iy32waaMc51nTzHinS52FYCTHP9YU+mhA54zJNag35PvE87+UWfcl+WA6paVv3L9pQOZW+JEY5D39VOVmWeex6p1GTdeMz+ZqfvPfod8lFkWuvdud71imdCbaR6rq5TiaD8of1G1JmUcj7/qRdLRPOC5rNG/irNOrHqrz6MLLhFmD7xSfo3CZlolWMneSF08Ikh0KBpy472wAaEAAmkSRDj9gFQaTLz9F1dlvwvn0IkQlWjc1v5MO/R6ucMAMuM7StjmSkPCU8QL4DH22Ul34iWRttZNclfSzND1bCCo/ISBh2YJ3RrtDH6pv9ntwPklf1O5Sr0FFJCP6JoJ2XmH3UkS3f4JR20i+yrP/yEMTq2prKF78bDaHti52FFu4b68gFQb9PZZd2KEYPZSfPoH9jHYiT5ANx9g4ks3Ua/MW8W2Kd1tA2uIw9RVJwXS2nhoWAgnSvELMkWzUDUi6SUjMUMmib5F0ltwqNL9Jpeb/O59X+VkvOq13yq1JeCkEWBsPd+fyZ9z/ZZyoylHgvCB6JECLgQObjg4OQ0MDsDeNPhNwhhLS5nJKRgaLEScNzfvu9erAXBXLs7ZZo5RYOlv03NghrQjlurrW1zYdmUexBK5p6yZe0AADWncAn3pwHdUqn8Ky368SMmWeZbmvD2CFavdH2WjeAwFdHqcB6acTK8uZwNYPcCE3B+/yDT+Rnp85a0RsWgfp55swWiv0Cs84Yp1YeKCUU2PbWibq0Z3mtODokKC4GEpdXJzZWjW2iFmkQesNbPiWRjF4rYLer61kbF/zm6L4VRcpJDuDkyiDNibHihI/CG0TAJw/gDMJV3L2zLj8g1Ulx/IjfBJYWwmF6Nzd2beBpNo3GY4sKvyMkjBhtLW07qtmL/CBzqUygEf8pYgu6nRkMBooIrjFKiofYUtvy7ZFMhgO4GkASOmingQLA+h0PdMhxKktSKd8djgTnVWnrGFpEXzQUj8q/zQMC9qo/lFfgi8PDFPmqQmCq+FWlzCHHy6ur2v7Ua5JT+znYsGjKB4xn/s3gBL4TaXQUTT5P25ulPQpCND5MrittyJYp27mWR4xsyt9YJ/yQeQkvwDEzQKx6vI6X8y7lURYfHNjQfKHIO1uOybf8JASR2ye0RceBFtq4ME5bmZkn6fb2TmJTA1iuPDRi+QEDZRoW9ivJPKFJA9OIscY9sJzoK+SNQbyyTBR46La/En3q9NhtRXouHK3TyMdPDf8e0nNRH+Ja7u4Y98c0G3pECRDtpp3o8RHjPU9g7Iemzlvkf3fLeeo9xfLk0Af33C/ZQktQStMfCkpuFwe3Ie/eu53wEXpV7gopxzyXfi47AS4r3SSsR8mbsExcWR9W0mzMWDcRUJigsb4wBsCaQ88jK7SRgSvxNUv6mUjtbBt81PQToHvDRJacdjYxSIFboA0YF5qlzvCAwywRNz6xqmb26h48ImxOTW+rMRkvfBy8vdRhzdjbYaJlAwmdlPXKT4qn7+RvDMjpKbbdC2F8jIQzQfoZtwRFJz45IcGlmZAgL7QzMri2VrD/KvPZwdUzX+PxKXv1F3CbuoIwyHvwdHWV0FpcLmdzY1tBtGF00lwSPJYPS85jKfpTF5oK51On+nRPR6Xg06V9+XMaCDo02EjZuEOTkhlBArTRuAjVlgbBNIasmDNXBJPtNoMClk6v4JUe5EnHXRRdnrbhHg56OCOPXuAUUaYFCEnKJYVUJsS+8qCegueYY86F+uSJGO6ofho8eZ9/dGYc0VEUhYfCZSLYrjss79FR93eJVq1c9Ff+FPpmWnBqd9kE1vTpPxyiNe7Y/FS8ObA/lIsUMw7i/CZnZqUeFEwn7YGPg4/26yXNyhrR69ugyBNKu7vG/cg6pKHgfGwImIeljtQcj2pdtL1pSlA9G6wYb+7UKB4uaJERKUoNN2BlwsCYs28bRblixmAkA1o54DRMVbM7GqwT0DyylOv3cHasF8Q/fObyBBgJGbwx+MxbtCgO9YCCckqOuiB/KKnRAYuyreyds+ujAW9ksHQ/MD/IJ/3zkpeeyXpghRb83uzTl7mmjWA6SNPv9a0MJYN23sfhNOWRN8VbyRo0YxQm8nk9GHDf/zhU0VKebhvTy0RAjFS6RsBXz355jbanL3nwczofznC/Y0DwyknqJBvdds4f8hozKpeyRK8N2ExLXUib+E/IEvnh48cKRtaZk15s06s+4j+r2fav0UD6kIyat9JTkj1+Wy+4f+ckpVkcoeEHz8mfPpR8M584bej6uD+4jVMmrWPwy0o+UGT6gokSrbjAR08MyAXaen1O6Pmi7xK8IeWReiLfRtN3Kp4JpLW8xW+AczFy3QeRM+5lfYoOLCvM8FI0Si9SruvHJ/S7/i7L7VGIk/4lzmWhA9p0EBcDA31jvnnS5skGCbwiWpdBcZ7w1fn2+/YB4g70nXWZHKFrvEpNfUYhaWgISvMFPZYTnQQ0eaoVvqF65obTxD7foq3tn+Q75jllU65zp4+enHoSnGVBe6aldTBmfZoz82HCzeluflvHoVvtO+g0ozwhL9pDvlNqMv7kOOnK8Bw5SF+3zNsBm83body5iMfyt/UTP/ETP/FYSv60haa4FOn4lOnVCp8yRf3wM0nrjsex1V/5lf8jvuiL3hqXL19UVptycsW52QoFwQPUUc51pcOxsjIuTB/nA5IxTqV0Djc+Ak2kbhtE1PTo+FDOhsZzcafESNE2UNmLZqD1KTQLHiMlAjpaNqdecE72hSCOj+yzgxfF7CaFlVRNOz5L23jrCOBQOY+rk3t5l1NPCUTJiRd8eUy/80LpcgJDHUmGZF8OrzgqSxERsuD4tOAawTuHlACiQRg9il7O7LgxxDHCMZAAw8aeMr852svgaIWBAWknUrYz1BkJFtrDIRR+Q1vh9UhgSRy5+cdzs8Ige6KdV6SEPHhqO0ERt3Eg7ZSgnQ60SVwm6MhBmvHOtKK5Q6crcQat4zcxaGUaeI8iB2H7TM771J3BANRhFAgOrdCH47uc+yXChklg5dPt7pbmPeMwuU05rQT0QMrCxMSkTipZMamSCm7rgwpkjFOu4SWco9N0hP5oPmNk4PgqMecVKboxnUCkLvzGIEnH8cwHGbXcerVka2snrl27onyQDU4wXbx0Qf0DHtAuDKSjBjaz/4kCxmcC7OzPSSIubJaT4xOd8hFlrHIKGDDjUTWNfYWRLXvUs20wpNIZlvdwZqdNEjoEHltGVIz+2I8N/nDRHg4YW27IuPOBDzFJfZTI8ckjBhJoGOeQgQy3vozZxSV8BNEZyDrGp/sv39Ed9pmpJ1G0r8Eha1ow/GuoBJzSMw90D4O02ynrTN04yeQ6kg8HJAyq6Vw9gUD+asNwMNRdptdtZp3IW5Zby6cnedwjuDcGtS+XhfP6kL8lOLn9glw6usFybbp5F4dqGxlJoeFGPNiX+gmhPYviOU7g/DZ99Ft0ABfvAY/BSpn0AqCnnbHiFM8BIr+HY7jTuA4cxnE+SiDechLPZWAGNOLcIpA35gH1nJpuRxNaVGmPB5PFOdpGYaVDBpyyTXnh5BrO30nH2HgjFi8QGNh8hoGzc5yIxcCHNsaf1MWQA09w5KZdGV/RbZwWtY5MmcBBXmWUP/Ce/mE9aR0wPzdtrD2VDWDsuA4GkT/0ML7g9E1GwqyqItoCLLWM8ACH8uQ9v6HJECfWm+S1dOFckWPzwbrcfH4cf1+zTt92KoZJ+e9R9mD70ngsZ6Z/Tt0YTo2AIBh8poJxR3o0t1f6bcs4FHz3O7/re+K93/2d8cfe8iYrtyGEAW9iHfejyVaKaKJITuT5lJ7yVnun0nBHY9C0ANg4ZJCgM5fJgqsOubqYyXhAcH2chwwFZsDiE4ndUTDgRg0ov5N5QQzXMPPyG0EtszURx3OIhCjyZVaaTuqaR0ZTEA3J/8wPBcBARLauWyp/bxO4neig1Nlpsp0zj0Kj6LEyQ3eUUj3rV12zLi7HTKPccp/sNONkm4AvrAYhC1lXt0GtZGmj8rwM/mYOGfGvpdkjA5SvlK+RMvmqlSXPTN1GViTlJdWZuuQqlfN22+l1yTWspz0oa4QvxacsVxycp2f1aqdSZ/rQ6SkngKzszJN8mPmV32pmtwcyCYgcK3WaYct+tvEueR00YmeXQwUMAl59IW/mxE1tMSS9tAH8ye0kKE1+edB2+7vGNQ9Y2TR/LUfZtqQjT2h2O/nXSF0YgPKnGVPLAsjQiQ2EX0rDfjo+MOCXvJqU/darGB7Iizz9v+y9aYys3XbftWrosXruPvM73ve9Y2wjJPAXEAgJIYGEcEBOYtlgxySOBZHAjkF84AtCQkoQIp/4gIhwiIlsxyRiEBASYzs3DpYV4gsYO773Hc7U3afn6q6u7q6u4UG//3+veuqc+17bIPscG93nqE93PbWHtddee+211177v7PMsuVugz3pyzHp9qisIqPcIsBWayp8jEf+VqmQLA8XWFV4ZK8FHGrevlxmzSPqwMuWhpUJQ/+kTNX5G9G/vI3OKlhSHscqR+O68EuxdPZWQJX9G4xT6yPXQx0eN0ojT5VlVjIz3f6Cl9lP+bf5l/Licl/1jpPWBiyLRCbPWoekbkcOrV/gIcaZeKft8eLFKDpHwK5CWiePD+PgEbORiIfZY9+GgtvJeDO4pfvQ7bAM+40P9lgmnOfk+CJWV5dkNNTC57b4s+tXHskgJwMx3txntBnPqW8eyLp8x9vWNqfkrPW48oeFV7Ppfue6GE5L8tkyz8LyVoav9RleXi+oJGnqS3sW4YH7EM//sHgx3WfE63Ii0Lx3O1jYS+eV7vQ8QHov/lhc3N4OBPPhHQoWqATD00j3vYlEfgq9EgLXifxAs3SidL6ZQ1gLi20MK8tglpW8e72/Z0fj6635d6zNnVEz+9UMdDcI2FjHKF9+aM4sQ/kbxufkRhmz379a5sufrdwsWOzUcORdj4DIZgH0GjGYXuWBsmWCaMfg2ls1qlPBgmXgTJXJJA4PTooSs3IiJkUeeSZT4SuBqcFWE6seKwfdwaUVuJUf9RkAzJMAgnmpuI1sD23Ors7ffJe8yN+ei6RAGhEX51yDwJ0e0DbRnVy+0BblM9a2Htgs1Ifsw38uVKQvciIExwTAOQ9g0rQUW2Bl7zafnlw5FqcEQHPv2nAATVao9MOLvX5MRAf1we8qrvooF0YwiqsVRwe4minTWxHHXESpVZW/BycnJj4irAmBySNd+2WQIk9+cpUGza4DHrJVCIxDthk4BOK2HI/AoG4G8QmYQlY4xH1cRe+8APGJT4042Oc+Oh85p9yLLvFGJ1P6L85uo3vGJaW1wjk9NvAb/QE/R8NmuSfNcsGVQFyGXF9Z0IpGNR8ff/S89LXloHvmK1jMJ/cVK2ZvBRXFVCYuH/tF0zIOkAV41ozOMp4S85rfe3svbGBVNgqOjy7FN48h+N+I3edcDwENVoa/9It/b2pA8P7J433FZUWwKqZNzdjfB0KD/kzZN48Y05SN9xf8l+Q1dO7v5j191NWI58+5eJoge+p1OWx102emBSMFI81jlzLw1AGsx0EOGVTy8lm/QAtp5AHRat7l2hiUNIpe8JD8iUmWCcj0WGbdvouLa8UGaTKtiAXb1STIwkL1RAg3zTIJv1u6TNjpzRfuTHS8EWLp/tt9dqYj+dSJ/B4fnVofafplwm0Fdx7COE/HrbiZxhFRG9heoylYpIxn4uz6NxETG9LwhQtx6QdNZmWxRl57MzzetZWmxRH84J5Byqf9/s1ntu5FiYwuYq4MJ4HUYUiA8+Xg6+RhxP4u91aiA3yi7uzUsALuU64JGoq3wkLVQok4IWLmijw3J4pFzX6hHbc3jXJFEboaLLxRXPWaag6TN8bUheK4CBNgEduIqkEMz0gxYYxJZMcgjd5GAwxzb5dt/EYMB03ptiefcOE1cgR22iguzoij66u8iy79QwymgXkF4su4mywLb4k6b244iNSOZ8+IbyVe1n1wysXGRR9qy7Vqx6XgRyJuroi7G8fRiysZbOjmwQD8LbyyllXoOzoYxPEL3yU4GjXi7PQyuidsk9rzz32UJ0dXMby1HICrRfvBy7JctnQ349WldSh9xNZzxn6CwYRM+ntEEF5H9Htc5ozOQzagB53wQrGClhWPgjf5/6wl8Sbp+Iy6Zyf2z/j6d/3KjP9dJ38poTuSV9wxRsdf9gaynMFdAsAQbBZAFNn6efJkN95596Fupsf7Cq7M4oMNgSOyx8u2CAGq7VYrBtfDaM8valDHPSOntlrzMlIWl711QTzQ4KbSNt3G5pICudvted1YvbW9bmRY1IUQesFRaWkyv3N3JwC429zaUcA4d4Mh9HgacLdyCoKtgnOuu1hbMSDb/HycnZ3Hzp1NTYqX/V5Mhu1oNPs6aUEA7PLSShCszKqOy1i5/+wKfJotUIIbARjyaNCOi8mVXNsGpAR8bxArKwvaO2clxR46170ImHN4I1wrVtUL43b0FcDOrfUX8c57dyJvaofHVbUSID0TP3Z20o/tO6vR642lwODt2dl13Ll3P/aeH8fDt7bi+uY6zrsL0W4TQ+HV1vU1LuhmHL7oxs6dNfF/bX0puEiZLRViBLjOAw/d1fVFLC121O+0ja1EtpnOu9extsalwd2oxi1N6l/6ygdxfHSiAGvAMIeTNbmi4en29mY8e3oQn//Cu7G/fxDgilyDUzRcVGA6W22cPhxf+sJa7pRjBegYkxUBJLIFORqhxOalQFiBM5G05ppChuZ2dPqU90wQ+7sHWu09f34Yb711T+3B0Juf7yiYGYXE4YHt7XWh6T54tK1LeHuXp9paRtbh6dHhUbz9zqN4/OnzYLVLcDTud4Ae//Hv/q44OjxR3B0rWdrKltlVHyyhhfjo693Yhsf9q1jtrIs3vd5VHB0dxsb6Rty/fy92d/e1BWhE71Z88unj+OIXP4jd3d3odFZKfFUV+3sH8m4CvHp6cqY2oqTBpbkZAGi4WBDxueqmJVBMK9lWxKSllTbbhHg40OojrbxXgq319fWVuLwAIBWQQh/pR+7YqmBri3gNthK5oZ2xBTApW9OkgX/cWch4YKvDAI6+N45tJnTE1taqL0luTHQz/IOH96Lf9wERjBIMj2ZrVPDPNuP5s4O4d39TaVZXVnU/4MZGxMHBodrG1n+/jyfJQeJgNR2fHMbby4+CRQJyPBL2lAEMkS8mXX4TmG6ketoGAOeKyof2s7ObuHN3OYQr1GwrHeCi6BpgShbnl9WHbA3potUq4uNvHMT7H+5IFlkUbGyu6f4/sHwwzMF2Ojm5ircebckAJT7m9qYVy6uVQBtPT08EIEn8C2CQBEez3YvRwVjkcAfGY6u1GEdHXenZq+uruHdvR9u+GDm7z09ibW2xGE8G81WMzaQZrbZDFdAneGMYV+ggAEMF7DmoYjDPzQK30WrOBeDDbKfBIw5VME5uB4A0Gu9udW01Tk/PYm39vu6LIxB+gM6Y73AzaPS6/djeXpPRhTeI8vBqobeu+uYfBsFkPIr+JeEXHR2kmWvPCZdsdXUhhqPrODmexFX/Mq6vDJi5WM3F7v5prK6xlRfRu0SHL8dF9zIa7zAmzmOpM+cbHqq1ODnqifdqc9v3gGJwMgZGEzCuOnF+eS5Di8MzS8vLviA8FuP2Fk8WixZw9W4UrwjfWu3FODoEOJVTnBipPjyk+MUpOvpCgHwOVuHZWTdW17cLSGulQPi1NYA48XiObVQ2mJMWNe+1W015yBqNZd1bOtdejOPj03j09s5Ls/Kb/PAH2GD6vWCLrWav6FiZ/L99vDpD8V70LoiKUSwR7smbK05IEZANuNZSORFHHZXu6tLFwTqxANBgK1ZAa70dBzEkbeKLFPjcEII3g5LBxcDidApgd7gy51rzCmSeH9vrwRYIrlAmMix0FJcGY+9SyhpjaHsHcDCuNXBw9tbWhtyZN4N+rK/f0yDaaK0LYn9zY0vov50O7WwItdVxGQChMSn2ZGSBRDwZhVCS8ZzgrmVvnIBcDKjt9la0Frxy71fXsbq8WOKcUDYonYkcVfMKXrcnkPowMtnLZzXG/WaEoSSat710E03SGCpMLLRL13Yo6H4cXHYKQvbqykoMByMpZPj/4OGWVtqsUJY7zViY62j1enFxPL0w9d79LRkRgFFy6af3zgmyJ/iSPluIpQ4Iu5xEswELvXga6U+DSWJcYtACuNiI+w8Y2FU8fbKvSRgwvO2ddV37wsROjAJo3zyPPzkQaNv2Dp6aNaEzAz5JnNPde5s67cWkjrvdgJiVAuzxaiBv/GB8zM8RO9RSHrwLKDtW5Q8eAZzXlMIjdq49t6z4oG5BoGYlCKo79DZaHicApWJ4GMMLgM0q3n7H9DIRAmIpIEuuVBjjeali5842yeLTT59pi462MQoA1bsdDvUOueXt4dGBUK1XV98XDy6vrmJxabHgerEF0Y157k1sTgRUSR7Hm0TcfwDabyO4sHdr22CkTKrUvbzENoWBODHsQQlfFkCoF11gUcG3udVlbQfIOG7OKY5mZ4d4IWI9AOjjxwCgjLPFBYPSYpCwHXL33rZk2XmI32kJxHIhkOPFqWEVxUvJNgVGF326Mm8dsbDAVjmwDAbwHA5Pyx19Vax0quhdXgncc2VlMVZXl3VQ5PzC3rqMnxTidQcQTa5Scn+9884j8efu3XV5GAQAWkVsbgGm2ol/eLb/0r2QxFcCqCow1XK3IAs2wDejs6pOHB1xaa96LAlpAAAgAElEQVQ9iRh9jIWlhu8GJN6JRCxMUmcwliYj4lDm1cY7dw2aS5wMsYUY2kyGeGjW1o0o/vDRnej1rmNpiXCGiYwmymVixohb35hXH5+ecZfhSiwu0s94+sextb2qcf7oLeQYQ4hrQ6pYX1vRQhCwUQGrVozNLaVhMseoXd/AK+jtnsVFJm2Dkt4O5wR8i7FLqBwGtC7kbk7izj1firy+sSoP8tbmmk/Jnnlba2WpU2L0JnHnDvWFASgDvTYXyx1+DPyKUc9Y47l3f0PzCTcXsJBcXFpV33ZPbmNpcUF6Eo/T0krEzs66xrv15jDef/++yrh73/KEh4xn5y5y3JQBtbiwFI1FT/XwDugB9C8LIBbb3EKwDMCqdmvIvxzc3gAvN7cAlFyUgQao6L0HXNDuwxit9lhzUKfDzsK1jbWwvmI7bucul+YSP+e6H73lu0w9zprSh9BBPRubC9pBIC6LZ3VlWTz+4MNHU1BRCaW+fXP//QGOYXpzTMmamRDo0HFVxZ/81380fuLH/634zj/yRXlgbrRXzGRrDxbK0fu1aaT55ByTfD4oYQUTliBeBgF7zg54TG8W7mLGNsEJjs/Cu5BItJSFt4ogXYwmVqeik2lSl+J6f5iJcWMDZWmBpB1ecVMCq+w6ToM0Wnkrral1esdcaTskRnLF69Je7hor7XZq88B5sv35mxTe1vT+dNbF9946w5tB3vrxd6aT3A5qpxSTSLsx8sjhPqrbNvuOctx+lT2N/alrEp+1VYLjIWkzLZRvvtR9SHnn51beDtgkDye3cK97axLaTBev+LsA/01jtkwX/ee4NAesE0RveUma69+mpabbnymHh3Ql9kFZSrsbVZwe4yFADvieL/mRk2VGHvTqM/+b7VPkzLEE1UtGVZaZ42U2z2yhNc0iUvV7mzlpS7pm+81p1dmluXX5mc61SL70pwO98zg2C5UcP5Jlxd4kH5IWyoIOJtLsx6Sez7mFlO+YTJnoyzZ9/Vp/JY35O7/Oz/k73/u325O6xPycTeGFDe9ffery+I4fx+wwdnhcZsoxbba8ZD5wl9h+JC/F01f0K9/nu6zT/Uh+HsrMbTkNGOmuz+IX49dxXYxjbzu5DNNrfWfa2MaqY3zQQ6YtZc10k5u8IlZFWSeaZr9330GjY5ZI5vRayGm7PcumLB62nfldYqw0XlI3ZI11ncAXzC0QHuJnljb+dnzSq/KTdWWukre0iFp8SbT77KWxo/ABeGmd1dC2aqm8dB7ppVfVluQfaeA7erekVxtpb47Bwk++L3I2bY/Ur3Wv9SZlTAsqf6dcwDtOVfCZMmkHed0fKQsv56954rGM/Dn21J9ZbM/Wl214fb9zBL2+Gv8w1iThGxcYd++161hy9i9qwIFHL7Uuj+6nguN36jomUpSH8/k931GuVs6UJGPolaO7RGSVgGOXZeVOOaqnAPKtCqJfUi+asl4T6Mk9iTV9Lwsi7/KiTZfri165XiNVhvPX+Uj3EmyCTskxcBB3M4s0eVSc/NDlSxinzJRHhhWwDJESr3PdN1ic6+bC1Ynul8o2MDBxH8/SxvZU0kg9HFXWXDnNRPKafl7bwHGCNJag2ePUx+mZJB1fxt48dzMRqwb9KFXc3hitlhMUFC7vmwEDn3KtUHrEZFB3ie3gahT4kA9H/9mSsIKwojEoHbT4M3Fr9XFfG5DXfeLdmPH8Cw8DdfmF24rnqqbFpxRLi7P6z/wtA6+c9HHAt9tMfWy7QauV60Tbvq8WgudqSljglXry0rjBhQ+8BJNttqHb7fpzEQ9wjSSPpXDqY6uJpzRZcSk2lvz2Vjg6LsDt9mKGOrIsYppcggtWfI7euQzn83f5/7cylrJcxrHLzzHqsUD+rJft8fppaDvLCy9PhtCUaczbvMqmMES4UgkbkSU1ond5oWWKJjbdR4gsZX95clRMjgYElwWDP2QMNfM/FGoAnbM/LN48lDHIaAeyPmMMaKAwDsSFJEi0+DZ6+ivHAl/7wmHGQt1nACWm7CNTbW3r1/3j8ol19CNKfIfZtKO8/UQe89qyCVQCfFTNjWb0ejnmzBvAMJEXpRAGHGMcepN36OPUB659PBkEeE1+rIet47L/6dfUTU7lS39Nh+WlYGeVUqBbmEvqM8vL6dm1oWxEiuOkrq9Y/JKJl+DgoSep1/Jz0etzflNfZ20X55cyXUmP/trbfxkjSnpGxZHDd34Cd0MViv0EOwsdVx7kikBxdEA+hGPgweRxv5LGAL+SYx0g8oLceVwe4RvUosUxAJ/Xnv+QyZT/rONN/P62wfQ7cJ2BQucRY4OHKJUJoIiXmpwQZgKbvRVj6bWX6OjwTKXnMVzHUGSFDuo2uJdFGYF48vigJEBiGdB9T8gInpI14uTYN1YnLWAu1ROnrfBTgNOmCpKAwl75TPEETFswrQhcJUF9PKlQfO+SP9NGAgsvC3gitGCkJX6SSwB8MSeebFMrhsJY4jNtAvXWbXNdEeMh5fBJo1TH3j3g/Y56DAznz9BnI8DiS1rawUCXXtNEONHlj+SgT6CXC1GtXDw4pfxn2ksZyQPnI+5pqBgh84lTOK3Y3yMQmQcogUYBGuSz6efCSGgu3SWaiP2ZykY0BRaJIvaqnhiDmxgLrNN8MnYNf6sU1WasGitDXhAXAZaRnhLs2+uhmIuXkjveTq50SbDLgUc3ugg2V5q8PziANuTcDxfb8swqKO4eRB7ZMub9ixeHJbicCYKb1FG6+RiLygCYfkeeGsjS9MFLKeJSMzw+PgGUFT6SxpMdn8scV+K6SpllMqSPkvdsURt3iT52OWz5uP3mre59vPVEaeOT2EQOOLj/oJWTTzamzZWLC9qfj9NdXGAA1g9bZTmh8BYZMN/cDvQHILQ8OSGwlVHERu+JW2PMqz9ED8YoaVwGtBkrLHsL2a/HLCXTk0aWNg8pmIMjHht8Qq6pp4CCynNA8G8iQJt3F+eDqeeBejnwoJgiUWojiwth6Sr3jy/0tfFZtxGdAV98hLwE/84sVAgKJ56nfrhf0iC6llPq4nLlNG5cH1utqlzyAwwHdBdjGw7WDZ62PUEpsy7Vq+6En0CegI+WBgdjrK/PtN8P24Xd4q2iT0gzjFapN3WyJv6Sh7z1ooXKqjg65CJ1qrQswVsHilOL3xET5lONXkRc9gk78MlO5AFU9IvzND5NH3yz3FomPPck7ZTtIHrXgBEziYYOwuSbKoAtS22AnN7eckk5Ywzj2OmMX6UG6OAFW+GETqj9mhswxlyfxwTbeOZXjm/GqsoUzI4PnyQyeXJh78WJwk4c8M/bN/t822D6bfiPoPODjCwtsQ3l7S+EjkA/ryJ85BGXtoMpEW40GArCRzMRGFZixP1oIi3lepx7FeLBw/7vuuM2iowTDMieL0+6lKdjVwU4IZNPDjTSEkOVAwe6JfDp9cDAw9iRlUL+Mlj8a/qZfG4/bfJAQ+mTHp4QdHw2VVrO3H4JiwZFl0HpHvTwjliGWsmyv9+eXooL7+bn53WU1MrPiq/Zpl6UAHvqVpiwhQGa/URMQCoI3o/GrCbJZdoyrSrX6mr0kreLlMQ45JN9j6cnH4JYQXimYAY+t8wrABYVU5QfnjHwqKxgWrq01wBy5h00cYklE72NAS5rXYmlpZUykYL/QvyMb1pPuldWOqU9NMr1EzeiMoQnZRwa0vtpxMcffRxcqsxDe/DiEFNgnvGOPEXOJU/wYNY4MP8xDsjjvkfhH2irNGUEgYAOfng6K504PMSwdNnIPVsTWS9VvffeO9GT0eE8W1tbcX52Pq2HcjY3iRvJ/mvEOpcB67PlgTTE2OWYYPW/c8cxU+5ncLOIt6EMeDZW8PaiMG+aUvbwazDoly0E1/X4013Fqbl/iAWxB02NK206OzsrtLKQqnSaLQ0h2okn+LIYAnxmHBP0z6PTm1UIo6ywXe+JEaMupdGk2PQNA1M8HnRRfckx6cABSr7zGRq4GgmazO9mAStELtwfLAyIp8x6mLj92bIFTwjQlndA5TiWjzapTOnCsQ7B8NnlOlxApz95U/TczeBaspK87PcwxIpXitOGrXkZcG6D+d8M00YZiBQyCr4WbXNf4/nIv8mD3vAl4tlGYqBmH/KtrMIXv6W+divxkizbGP5gOzkNRthQoRapt6nHiO4eF/D45uaq4HVBKzThBeQULI/HfO/Scu2xTNtZnNqgNW4SOwfocMYI+biCiYtu+dvjmdgsMO/krW8wnuTyEX/M64gF5HrGgCbe1S/UIdKX1juUC9gvgf/mud80ot1ksWfZoS5i9bw9iq61DHEIxkMd04rLwed0oEh9WPCsuHy87lMawslUywU0+ayS26C6mSvkwS5pOKndO1aYguF2TBNp39Tz7Rim347zyFEDEa7iB3/oz8S/9+/+eHzHV76oEzrPn53Gzs6ywNOw9PtXICrf6NSMt3JYedwISEwCq3t9MKI4EUOlHuz9PtgVDoDkLd4ibpxuz5MI657TVHkLOik4UUe5DlJkoOAOhc7ZGCoCXwkk94ClHBQKwu5G4YolwA4xRvAdJ4QBwKBnkDeCbbClDoME699Q9rwnQJOVD4B5nAgjQNADw8dWl5bVQJUBujnpCEy2R4bA6oFA8cx6TibdKCbL8TsoG7tuyZPlcmXE+rrbTBvYXhMY5xyDm4s8IzhezQ3gYoaOY18EQIFe2U7kxSEI1EqIduaEUrcZO4egb/PJx4KtI1BubCfiKudklYOiSUcfKrjUDSr9XhRxw1tybM8qsFwMx/PTi60tg7+hcq56VQzH1zKcKAYvHMraYH2WBWSDYFmUFrRzQmc8HhbwQCtmoCDW1jHu/bCCZAJeVzwbeQhQRVYgxMRgTC8uMRFST230JB+ZAJgIkidW4GVw6BdXTBC4T0Cw+UqfGgCzpMMY7XKqlCBinqZOwOzsEBxLP0ScnHRjY20jamB7vFKc5HRAK7kwQDihxqhMaAG25DwxmEY8HMQF+jEiv25Dn/FqGGsm5cs4OCw6GAsaDw36GiBTTxA5JiiTUZNbzLRXGkLbq8iIrXnGE4dDvJAhjfFvGKNZFnnZxgCUVnybgB7e1ynKXOHTz2xPLSw6CJfamfBqsFK2uAaxtMglwB638DPxeIBdoPbB7SQWAMjFqNdMB32cIHObaVeOB/ENNP1RRLNVJinxjpI8makNfNRWmiUDVqjoaRpvuUgCVK8nfhaadazeWOjnGDeWHdwSLek9+jTLM54QfVq3Ee8kvINuKMBTlYcEoEWxRbS5yCi0WzYwiNAZYx3ogBb3I20jLGKsRUVK7njCosJjDh7jGTH9lOhUyApGnaRDcTe857HOTcPT7WE8ua5alsxbcuR3lnHzTO0Dp0+LMr/DoyZAYFVlOnjHabN8FDfbwhNOP9IGtvqNs+QFNWEUKefua+URqiuy4i0/PDy5U556wXW43vpvdX5Z3fO28ESc8oIJSAvzTdwqcgvNxhDz2DI/NKwKr8y7lL8il9nQ1/T72wbT74LRBH3/8A//aPw7P/Fj8Ue+8sXpIMlOV0eCxyK8pwyApGAGtwe4cFjiNqpIdFdkqnR6wQixoIyjUdkDY0XMYKYsCyZp6qGFkGm0lFak8cB9UyjVDErP/C4Lehk4Wi0osLweYNBr5cHEh5eE71AwKCRc/aOCrpvt43cOgKSMZYTdtx78zj9tgwYfSgPe8NT5+EttLBNv/T1xQq0IATlmHhqi/QQrTfUBJSS98NcluA7z2/ZgDnRoqPk45YtUjFd7UhZFUaEwMdZeRnmmDsrjxzxmRcp2G+k9GXrUQ48VPM2G/qw7CbW8mH+eXL2qM72gVucKXi2TQqNdrObMT4MX0icTARYadTxpdF97ciK9aYbO2aDfugzX63RMgMbluuz3dUIG/KZsOv2G1zHpSJ7rt9pKG0v71OelTSmLahDeWBYTyQ/SOJ1pVqJiMNHPNtBcbuGlmEw618XWJyfTbPQlHyifckkDr8g7ogUyiFxLXXcto5ZbcIku+5zCwji9jeDSWBkVcCHBIynTNLjfjARO/1vOqMX9ZKo8fgfXt7GQnsNkg4xWyp0d05YlxmZNX83fnIxp99XlIJZXsn4mnczjCmCZLtwVH3hHOal7CFxGjrMWB5Qztg0m67Q5qZqz2cZsgOWOdqpr5e3WnsxUBq0GvEhhy8fo8+4J91X+nb9rOmf70ry1UUuKXGAYPBQe2HDQ2BMfyM0YKvpkahJn+dRXZEt84TMnv+BhxMnRZWxud6Y7A3gxHbdD/uQzKZ0eOWFOabfgkSgsVhJpzEs4fX52HeubLHrJh/5jXuB7HtrneKWGdIj5a31b6gWfacxhJBZD1OV8zDtetFM0WGZDbbVn72IwpfFnHeVYp4ytg566HsrEy4au5JaBeqEyTSO+um7+57Fs0hZorY2gHC+z7y17yX+nVaY38N8f4KtR3gA3vkWVyNnP/dzfiH/6n/onY2fbx1M/+vpudFbA+GEFQ+DiMC77Fzo1Y0EBLO4ilqVQLcA31xzHHsp9iyeDhcCTJ3sFMRlDyECEXD5p4TRaKp4rYAj4HkECU8S4UCgcVqAAzAEz70kZLwI4HGChaNuwYhXKtSwtreZQWFoRsXquvGKl6SgSf+dJHhAzVjA50GgjgeBsoWkV0gCxlnpzkLM6w1DDKvBERpkEMHuXyIODgEe8W54Ym9E7J04IuARfogv2FAGCTHIG5MQ7gReEyRiegOEx1DFU6mHSRAkcveirT9gHJ133jJiSnFSagkBg24GJgfbr0baBA88JgsXzwFYYPBVvAPOThqcdVVxeTOSSx3vHyh/8KVb4rIYpE2wgaNU1Bw0HzqP8ez2wuuZUPjIDSB3KBXuDfOB7XV5ea8XM1i6r5avLkTw/0EL7uqd45tqqEw/O8JaYsoE8TIIOaM/Fiz2OTftUFB6EF/uX2nplYoOnrCaHA7aH2WYCJA4PH56sueCqknarbQ/g3HxcXwMoahwbaGPLg8uXCd7FICfomXgb6AcvBYwahGVwOxTmyuCWNoM1diUcsIvznmA0MDQo6+mTPbEWHBanYRujkvcRzxJpumfn5SRaU94l+gePGUfVdflttOL05FTbSXhVeE+soLebidWhP/rqU3CBMAqRKXgD3cLeGtzGeZfv2jIM8FgBIoqsYNzwmXLgPeOPvMQVMRlxTQ7gk7zDcwoWFttdLFZIQ78x+TDe+ZsTlmA60V62JDh16utiCLK+ET4U+GHwljgxttu63fNYWlwSD9vNhQAihJgR+ow2AUB5fHwYnWXSXgr47+Ov78XOXXDGbgNMNbzdvg6jLU8eW+fIM2MBjwqe4P4lyMwe74x57om8HYACzTb0QFAS1AuODnKHlwXATIxmvJSMKA4UQP9cG/y1Wx3Lp8/QXxjZ0k3Hl4ITsewN4urKBib66eK8L56+2DuJtfVlXUjN2KJ8+gsMu263J2+m8ZeWJYPgDR0eXESn4wvSj467wktTOy6uJPd4zJ4+PtbVLP3eMBaWGIcX4hfYU4zjfg/ZIWRhJF2JB53Lm7mGhfhAdE9664lT0tjE0J4w9gdeoCwtx/Exun8hTk/6KoexxSKL3QF41z1j0TWn8ce45pABkBKS+VPqYbFTxepaO44P+trWPz7E+wav2InoR7uxFABVMg+dHl8LvoK4M/TM9ZVjojCwibclz+AaHTCKk6NBrKzOx/nprTxuvS4HaJh/JnF5MYjRsBUv9i5iYaGpctET3dOReEvbNdf1CHdoS45754A6V7qkWP3c8/2ixMQBpXB+Rlwl+gZPaVt4T8TQ3VyPFdJAWwVWfJveYOYX7zIA7NzpLMsY8/zkOeRbTNW/769tlv6+V/OHv4KFecDMbuL8oh+HB72I5rzQTxF+QPyIWbniDsMJt1mfK2gR4WW1c352GyfHKN3bGI7GGsgo8e4JSmxBC4gXe6dxenoVTx+fSrli4Jx3B0Jy7gNux7ZNwSMClRUjgctle+cjgaMxgRKweLhvpcQ+u+ru3uhE2e7uCw1mrYx7pB3Gk0+OhDLLYGPy5Rbu8bCKyagR56cDoa72+7eaYE8PrhVncHF5peBL0F67Z6M4OriRguFkGAoHhHEmUQI0UTBMTvoZOQiQgFu2CZh4wLLafXZs46tFQOmtANiYOJhcSNM9vYjzs6voXTjQnS0MkJ3Zcmw2uLz1UpMGAZL8zSrn/PxSxqjikRRjQED12JPciNUT6NxXCjg+2OtKmTDBkhe0YED+wN3CODg9uYz9vTNtt3bPz2M8uYnjo3Mpfib+s+5FHLww2i7KkDyAPwJqSKA3Aa/jofFc2B6DJyCDM7Fgh4FJo8D/qilcKQxSJlOA/IgtYMKGn7R5OLrSFhGfQVwmYHWp05ZBimIXKOitJ1vqcuAvVxoAajovYwADiLgFeEufYQQQyIsQbmxsanuU48wEfgM+dytYZgLbu3rHag8ZByiTZ36OYNxrbfkQVN+/vtF2EN4a5JEtNMYG2FLkRYYxtjCIfPkocVUXMkobzVsBCqpgIR1flJi0iOfPnmubBqOEE3rIOwzE8COuA6OE9hN3Q2C1DJdy6a69re3Y3tnU9xhc9LeNxHNtd3lbck64NMSKQetlH3wzjrdj6I4FdoonDiOCOLyLLiC241hbWxUeG5PYZa+v2BNilTAojHlDsB3bZNfqKxYV7TnjmNGeNCxYdYOf1ggDED54cFdGGONBvJ5vRfecoPGmruJABhQ7stSMd99/S3ygTXgh7j/MLWOMukUd2FhbBT9oHHfvbWhxhMGHF4c28qRMApeBkcS2VWd1SYsmJvv2PNvrnF5rKR+65PzMV3oQSweOGosNjEMgTiiXO8cwiJCB5aXlaLXbOmGF4Q5OFwYuiwZiQpF19Ky27Oc6Zeu4HRjaOkV6PVQejFQeBw2Dabcg3SqwRd25OIjO8pLwrTC6iGkDs43+2NpZUv+wBT0coJsmMh7YeoU/9At/Y8QiU4zR+UUvRBkrlMv45MEgIj7u6hJ9FbG6tiKMKGQE/U3etXVjm7GwwqO1utYRNhMGuE4NNhqxvjkX84ssCIiTi9jaWdSCC4BM+npjG8M9Yn4Beu31phzqnIzsPVrbIH4TnQplVXBp7eo6OH63sXMHsMhWrK7PRWe1FcsrxJY2YmPLMZ/wZX1jTmnwaN3c9OPdz20KT2v7TkeLuNV17u3jXsNRrK4viI7F5RDI6J3789p+Rn6pt7PCwgIvHjwgPnMpFhY54AFxVaxBxwoyZg8TfQNgJ6Cc1gne8qTNHBTRXPBm7ST1t/6rvv38jhwYV5Pq+//VP1V97Wv/dzWZjKtxNao+/vigOute+PNkXF2cX1d7u8fVZDKqqmpSTcZV9clHT1U2f08mk+qyd6X3/K13o0l1cnxZTcZ8Hlej8bj62j/4ejUejp1vMqmODk+q7lmvmkyGKoO8L/ZPqqoal7LG1enpeXU7GJW6R9WkGlW7zw+ryYR6x/o5O6WMCZRVk+q2Ggxuq0nleqoKmk0jfyvdZFz1e5RFGhowqrrdy+pUtIxoYnV1Pa72d7uljonydU9druutqvF4Umjj+1vx5uK8Zx5Bz2RS7T0/qm6uqYvvK7V3qD+hHdrG1f7eoeqkXso+PDithrfOb+Lh934p1/Q9e7JPcuWDJy/24Qm9aZ7Ag8HNsKoqflzumKzimXJW4/G4Ggz4nrqgo1vt7x1PP1/1b6vu2aXSJYHPnhwV3k+q8XhYnR5fVhfnV4WvLvf509NCi+t++vi4Ojo8Vz5oOe9eVVf9QTWphtV44n7YfXbiMkp/nZ32q5vrsepI+p4+dhrTUlVPHu9VH33j8bR9o+FYedzeoWTl+PBySht9BK/IP55Am2UDPuQDH4ZD0827seT0aEaextXx0WnhieUHed99nv1j/v/Cz/9yaS88GVdPn+ypvy3rpJlUp6dnWa1+P3nytPQfeTyOnjx5pu/cb+PqF3/h76k8aObn//o/f7N8j+y73F7vmo4u7R5VFxf90qfuZ5rbPWN8ezzMEjH7Dhp5PGbob3/m3dXVjcssY+r8vOaz84yrFy8OS37T9fFHn6os96fp29/fL+Wbl3u7L8q48PdPnzxznml7XK5pMq+fPN5lMIovWffNDfJVvzPtbj/9PhiQl9TwwOWgZ/hMWt6Zh+gmNWNansuF304rfUU51aDqX95M24N8M76m+fXHqDp4gS51nZR82bt2Huk91310iGzwN/RV1fHxqYgwbZPq7LQr3VpJjt2O/RfWAcpXobevlCfroknXVzdFTly/x3/qhbF0humFd1U1vB1VvQvKQTmlLNTpSZNyogTVqOr3B8rr/ybVeOR+gGM8tAG9Lt00YYyNqttb6wHTOhGddB9ppSPQyf1r06E6q0p9LGJNK2Prqs/Y5bNle3/voPQHvJxUoxHtNo+pizHkcpNkaMzvSwsm6BXPUfkd+cwn9w9tMx/K5zJXUgJ8129nKH1vXjhPETAne2P/fzuGqbYdv+kvLFwsfnZvfuRP/5vxE3/ux+LLX/6crP2T465QnJ2pqRUvpxpYJempwAqauUmecuTdqGNccDHilQGhm+0fXB23bIHoskEsdMqyp2VaKG/YJdKi0GY36fA4yV2rWBaO7hMQOOtAZPuOz1j1xE3MPoVm+VpKfQDLTaA1v/OWDisVEQod03pny2I7j62zzAdd+TfpSvkzv/FAec+cdmS7qYUNmkI3demkkLf7VdI31Z9l02/1nj1pXVahYxqrkHRnvnpr0XTme6dzvAzbqpNp4P6r7aEb3PRSl3ha8r/Ciaxd8QnZJ6rS/flNPCwy4nw+zi+apnFtli3nS9kwL8QBnazJ+CC+9wov+8e89zu3NduQlDoA1HFXvCv8KvzEo8mA4V/9JE9floPkU9aTv/HEqK8Uj0WeLCvlNz9Tw8vy4jrrd6/KgHmQcpH5c8uZwe6+cw38X5dF6qTRv03P7DuVOJV7UzObr36TfzFrYxoAACAASURBVFm+khf5Vk2mnGl/O52/z7/zt98mHXUZxgIz/0jrtuE5SrmazTNLg/lW4utm2T0tvC51Nh9fu8yUK9XqOD7Jt+lwukLHNL7Fhb9ME5W7H5Jmf6Zn3L7Z9riE0tCkW/orB2WtD6EbzwX18SiGqcjzrA7iu0yjdFO5zLbyNtvr8rLcmjd8z3evnhqj8Oyn7M/kEbS6vNnxXLhBpXrqMQtnkqdJW00Xid0Oh0qU7CWOMplF3abD/UCqpIf5KWO8KJfyXF9NQ5aT+WY/+51lK/vBdamw6X8vvzMdSYMTZX/Al/x7mv33+Y+k/Pe5mj+cxZexJKEZc3eOTh8gBI1YL9c95ADG7e0OLILZmD1JYbnDZZqDiOBYhJEj9CqjyJZP1aDcUMh+vD3FkOa9t2n8jSe/ms5aGdoAyRLI6fqSXr5JYfus3+zJI9z105gJ9vbbut46HbFDptRpNNilZDzIeIvLfjoQFUOUk6Tbh5vcKSjXjCEOiLL9cLKDvfz8zG/ihWbpIPbEWFNZFvv3ms+UrE6b7VfnzJSJIsj6VUa5EsBJsm4MWHiVgbBV3Ogi1zRMCMD33WJZI3Qbf8iUYf2yJaStFxXrOBniRfyQkzxspdWlCGSvXJjq98QXcPlmKkofVmGL0jXVNDmeBSOB02B8y+W0rkdpP1MZMfHU7XaZVqKKJ5oxlq6vwD7iyfSOBdKbMn9x957kQ3LtGCDKZzss87HF5rZRjvHQXK7LJj9bOPXjC6D5bNuFrcmUvTSWoLnwsfxim6wWDupyu5K+LJ/PeucVywz9WXamtCybDlfCqbmprKkfHY+XpJBWW89KPo2wNg7TtN856cX2VV0P25uvPsQcWQ6c0FuD0OTgbdIzhlJuKM/p+U0etgfhG3/PVFb6029stLtupzO/ss/5BmnnlFZJxSXkAL2WMlEN2T+pG0kJJpHKKvwWUDBlqSDrC8YLaZKn8EVPqcz4VTnF+aVlxUYy+bS1W6j0ghKcq1r3wpdZWBHKZzzXjxHEM03Sw2/3EXxBL+ciks+cQIa3BHKbPuKriNGigdm3xCHVZRAucD0NZ6B+ThMTl0R5PPSbcdjIZ5mftk9jjv4iTijpnwTTTO/cW4wuh1gjeK8iVTZFqc3Tsc+iMYcQdVuHZD9mTo/j/ORFPIcqTFuC5yb1bgHxTH5MACdna1ro6yzvzfxOaXoztf8hqBUB4+EIO7E3+lhFPH96quA9vqMTmcy4NJPvnaeK/V2D1GUzmbBTICw0QAJYQFIOdp+/8MAppzIUFwOAGesHdChxA+Uz5VIXx9o1x2jguCQBVc4oO4KkUyGQj0GTbbPIEvzN/ni9aiA+wY8nWoAsiblhRYVyZYATWD0r8sTnxCRb4+Dt6xvKoQx4yYCFFqdBnXJ1BbSk4hNC+syAJY0VQSpogk0HMwodBcAR7Zw46admHB0SJ+Oq+M2N566DuonhSdTiQq9u/U5lQss9oVl/mqDJqKkYJvOFI8YcfQcwEyXu4ZS3ctvAyyDhNN4AqeCm7roeahffpsdtUS4JaknrSZEM8d+8I4aJOBJ/78nkdtCMpk7weFL6jV//VFcs0Bb+IafWpZTjoH8CXdXaog2I1eOp5YPg5FmQQC7dtJJ13RyHn5UDJtuxApypV085Qi+1rk5xnkQHpl8UA3d5VeKWyIdMum/d/qxN1KlYeOw08If+4NJS6C8dH02DUlJakT/6/UrGJ8a9y2KcUR/cIy9ybbBUj0/aaxlVBhVv2rNfIvr9GrU7ZXnKp4YRpPf3D1VP8oU2Z1pKJq7n6PBU7/I9AKWZHl0zGhqtOvsHruTfhTrFI9m4Nf+5BNhl5ITsmK9Zjl71MKZsKNJtxF66XMrglGyli7iTFn5zxyNP0srfSUv+Rp7MJWJcJho/Nso85ic6lOIJ1BMiB1tm8dCaMebi2IFxy9xGDnGQhrGefZC/LTvTCTtfy0iEXvqUnwTidYl8VlxQHgiRUTKYxtElL7iEOdtJu7kDEd1Ofi+ymA+ua11TvYptxsER+jA9+NBLvBsXMsMj9xmB+mac02GkSBdJjhsxUgD2y0bi4Ab5dX5oawsjJfuccjxe3F/sjAwVJ1s6SO1irrDuMuOA9OOi9PoBWiXnBvp7oou7c0FH2cSo2RiEFo8h5hcUsp0FrXL/amkiBEj/Zmd5ccaiKgGG3S63DVrchpqq1/FXUZGvo6o/nHW4U7iYth44rMo5icRlvHQi45Ub2jkh5RmatnJcsxYq3hBkSYCdHmkGhMMraIuJgz5nvUMoVAsYRVtYvAKibm8jENSaiM9WOGxfmYYUMtFWRoXapMWMJ1kThDfCK5BscxphOdEsLQMwybFRT9LjIad/8nhtGaSsJlV3Cr40qGnVZARaNjXW36MfpEBVBB6DYYB94hbYY1V73Hhvr8KUl0VBEBTtB+PFHj5PAJ4suXl9tl6dpNLKK5Uup/I8uEtBSk4wrI3NKuYWAN5UA/QOulMxozjgHT/16t4BlrVcuP+NDeUWIj9b28s69k1/0Yf8gImFyz5X/uKJ2MK7ctKLW5H1yYYuWxRyncOBRiM2txZie8d3yUEfky3lTOcYDicnWnhpNO2xDPgFf6vcGSWFt0REKkl6p0oBxXM6V67w4S18qixQUwXKBGSpMT3IdUv3IdbjBmMIXlgaENoyfsob88qleMwBLIgcOAd168SiJlb3DQsfsUksKnnLce1cRFOvj15nfdm2rMvjxfXYawMt+YjXI4KaE/qAAPt5nfJynkKfrjKqad3e3lLwLflzoiGA3Y/55InWbeE9gdaz/cU7LojW5C2aGvHw0XZJAw8t75yITNkij+S2LFwwpMBTSwPA9Zvyup1uN98hT5l21kPDd3x2HhtjC4sGW80yCQ4n0Nr1W6y276xIdUluKk7QEtxcdJ6khuBhA3imDFhG4aU9EZw4qx/zeHk5cdpsKvqEYs1/xgd6Oh/64dVtP+Pb1XkIvO8IGww+1O/df+Y3JwAL96Q32nMYJTldwEd2G3wZr0W3ipU1BBRKrJc3txcdj1GqoMz2vIXO9VaxsJheGN77O/8usj8Bp6kdkwq9YTy2pQ4HBSjUP1wyDj0pUxi5tJHP2ffzC1k2pbRiYam+TDhpAUdOD2O2gZz6lGnyAf2W5fEH2oBAcX8P+b7cO+EMpjLkUt/I//+/jGGSIp72xP93vqbwTxqN+L7v/6H4j/7D/yA+eO8dTWJn3X5sCoQPIWN1fB3cCj2VUU1EHNNFEaB0bQjgqfrmjtesLU2BFe7BZbqZwJnAaqC6BFNEeXgQaIyajJnG8uLVJ9PzHQMGAebJzNJ6Ol6Kh4ZBxVFrD/yCt4NYM6lpsDPQUxG4DI4qA0WQQg/98ECrXbmbixt6Ot4ybU0DK1mUVCpwyqK+wka1u+5j8pVH+gXaeAfPzaMp/dPPs3yA7SikpCN/e5Drk8rze9JJkQg7yx4Kq17qnK0XmmYnWytOrbpyFS/kW46yw1OMbYzRrL+0q2B0fVNZFF+SJGp0yhlfOI7MHrk0eF025ZM3L9yER/ThK/LkVPpf7QUoUxhQpU3Kz8Tiz+qfsvKts5a6klDJKzRlnaT85jQvyyZpPAkgk9NGa6HhsZTjNOtlkgU+gBM35oPL0KRA/6la5AQ6iCEpRj8Dk3caoFkXMo4xWpeu77N7NHQ9wdZ1kZayKcqGrOiWNzAnVajwqroQVPJkvckXp1cfiI9UbJ6L3KlnNtujWkvd5IUO0kNjGvp1vykh/8HbJmOTDwU/zKXM8NxjC2P/ZZ6XtmT66UcK89hiPBvnyVtTlkkSOrFYzp108E0NE1Eaa5wmU69JvkxrrRtKcrWTsrK9IqbQznse6HF98OQzdYh45b6r0zLm4WXmFZOmsotsYICnjDhtqdIMLWmTtpqOuh01jZIZ+AZenV5nerfBY43vbPi6piI303Gd5fEt9eZnfmd5s+102VToIeBFX3rN3abM57QuCaXLGPpmua3blvlm6lPmpCnHGOn44bGMu7syv7/xWPDfr/v/QtXrrvb3pr6XB21d5u8VQynHZWGk+Ni2Plet2NpcK0rDYqPAbfWuPyPUiaU0kRegIbRrKwqvKFJwJTYogwaGUXoI+IxHinx0UwpbU3d4oZwxaKaDFAwmhgWDSNtlqUhSKPk2hZG/6q6v+VUMt/IdZWmgqFzK4ScnAPOb7z2oUaKsbM0zl4k3ycoVqlR/wXpyHspAebvs5DW/k6b8W/UUOvId5TkdirYSi8SPshKy+xq+YXwBzPcyDxwbhqLz90lHDlaoSv7SN6JByOpMLJ58ive8GMXwdCy3PvlMG+234YJSKdO1V3QyIDEOqQk6aY/7yPwiNfXwvfvWv11ehTHV9FYgStb9ZVnx2GjEEXfYKTv/Gd2ZFxifngBaSEtRUO5D8nqireUFn9a0z0DlPu1qYnVfpGilR4J8XGUBNg98oz+hKz1vNob5bKeT08skG3qChR9THqpi8yj7wMTYkKYcJ4aHvscuDQXxvkw845Hr9UoWTuZYC90L6WosS/t7x8X7YmOpjj+yN402cc0MNNqQq/tJwIVaSLDt6zEqOapCd9TZiMIwgH7a5ba5bxvCSdJY4QWs1RZ3kYspvpn7ynmVqvzpSRTJ8YEJT2gg5Vs+sk+p3/nEZ7onAUQbgKPWWzfJfsqzt4V8ZKas2R/LurcC4QuDoDmNd8nJF554bJDbeo3tfcqXnHBcfuI76rRFpfFbJmWG+YQtfCAkLFuqBiLVNI8DKPRjmTTPrS9ct+uFxqSrbgs5C5/4NV0ImLfeAs7xzQ0DjAUxU1WiV7yNykfeN+L09HxmLPvOuvwOOYQOYofUjEITcWfTuovBRigFeHsYNZZJindbyAtEyZQfkgEpoun4Qwa0XVb6fjCYxO3QuEn0Ff2e28Tq92D7HUgZdET2Gzhkg9JzjWhULV0pxXayu8E4ZUCqmI/IBe0DZqDoArbfMl5JetDzSJc7UKGiVL6/+/LFwPneffv6/2eYvMGnCOU3UcD7b/WdE+dA4xOdwc+rT76vv/udy321DH1G5gIkX9/jg0v/44+eGdxQdLK/PtGgkLSWDmeQ8HjlSdDrUNtNnpA9gezvHagEKc6qGc+eHgmsTYIVLV3nsa/bpFMROL6CiaAJunAQVDwWmBh10VbGwt7usZQxAwTWgBdFK5IXGTvlPM4HqBwSn6y8vfFARmGTD2wlgjGhjc/g/PQuyoRQJvvjQ2+L8T1KjQkRzCbo1NZVNYmLcxDPWUGJPaIN4DJvbTXi8uImDg9OtYXDViNeqpMjKwLVO66CmAz2+PmOIFJo3Nvltnu2nQz0ePjiNG5vCEikDBB5jeVE+wxu6fppjwAdh1xjYjcytLA1KGA6YgcA+ZsQWD6Jsy796s+Ar4HdRFtvB0NhVR0fMjl5omW7lODMs1PHt3ByEqV0egyYnIcfbbi6BLTPwZaURRDodR+3fbPEeEU8/cSxE+NxU33euyTI0/wZ3I5loOw/5+Z6DCNPKIAavtg7FzAoCpY4+Ku+xwGfaed51+55gmRpA+2GfmIHmBzgOXEbIIyjsMHAMgqzg8xpH7eiwxOlBejuDPwlFHFTGEZclKrLqKumwPLogydPnsd1iYUi1ufo4DwuL7mzrqXLpJFjYvo0AVeAi97G2dl59HpcOmzQR5QwmFC3GgO3om33+bFwtpBn8uztHeii2fNuV8offC5OuepOwMmc4rNQ7oBzXvYu47xr7Bf6mroAtcwYJiSGmJx+vx/z8x5/AEwS7+TYL9cJH85OenF9Y2wd8KiYzPBEa0Lt9ePqchjPnu1bCAn47vWDmI0cB8+e7eq7/RcvNHYpo9Gkzy+FY8WXTGYYdx9//IliWvqX14pT++ST51r1I9e8Y/yfn/elJ05PzuPmBpm7VXybjMqKe+F8/RE4XPT91SWTHPhxE+GzjW4J2LaeZUxRNp/pS/IgFwJ9HI+FU4ZcMOlDIw9yRfC2Y130SjJLzIxiZHSdiQ2l58+66ncHchMrxSRMnBnywxhtxsELDg0w/m91C8Hu7oFsEOihLwGlxHA5OzvR/YgAXn709X3Vb5wk4hzPJLvSoeDYHZwJGJPYHuruXzEmMN4BWryRHChwvMJgPhcmE1hkHE4gjinjbTzfsz0MNt1l9PsX0nmEBdCP6IzUicQHgqMGeCa0E+iMLOElRUnqMuwqpDNMSzO4nw+8uKODvsYl8sgcksYo9LI1jQ45OwEXbxh7z481Lp8+Porbm1vFXkLz4R5As8YII/7v7OQ6Hn9yGNz5Z7keCrzz/BygW19yTjwrcaT0BXI7PzcfwwHzgq+OgXbvbKJbAQEF3JPviRsDSBT9jyyNYzjwHNI9Q1942w69r37sAZhaJgqWlQLfcn9Ygl7v/2/QYPLA++zm2irnOzqen296MthABokt0m+Zdpq5Lnf66nfzh24IH8uSl7VNB6No+zYOEG4mbQRIIqAOZoA5PokJmYkTA8FeDYSuLwEChJL3DEILVFMDFEODyR8UXhklWlE4LSCGaAaCpfkN4CPCaYudOJxquq3HO694PKHZeLAhw4DlgTZ+ABXkVfJRRlwxuJBe7mHCpuJ72sTDaRweC3UzRkMMBQSc0yYEiTbLIOa+LlLiVaAQAjmZqI2gzQRNmaThPiTX7S2vFkjDCo5FIDih4RNyxDCRB6OQMrX6avmSYKhL/rAqzrZSP/QRW4JhZdmy94R6MIZdJp497+2zJSBEd90H6F0bWkK5WQ6eIIDt2Dr1oIa3vqMJAynjhNieRJwTjRx68DAxSRIrIA6xnSQ+0L/ENhC/EbG4zPf2SBFHdTu4imbQloiF+WYsLs3FaOxgU+rRT6slBHXKaM+15SmNBnw3sKB442p1Hx4xavaIgt47r/a4rz0x8g7kXQwr3nN/HHeUeZL3qps4EYFuFicGUBRr6ysCFqW/QW6mPfQf8TfQ4jzw1LES6WnN+xDhpr24XDbbEeAhd8otLwPONxStoIrj0by46MbKakenWnk3HA6UZ2t7QyCOGKTU67v9xkLEH419H+DK6kpsbKwpRvH29kbI5Osba+pndQ4xUUtL+mHS5Xnw4J5QnG+ZwXTXomNRANXM+MPV1VUhZEMrbV9bWxHadXvOMkz7SDMLRfL2W49UvkBoY6I24NlEvlZWfCcfd6khC5/73OcELEgsDSCTG5uO1cHjy/Utw9tBrK11hBi9tbMhoE22yEDtNo2MV8cKIcP8DEc3sbiwKE+5LltVmAEGja/OIHSA02ECqZx3DIu9WNyX2QguX6Wd9DkyT78TvyRdqC0c+n1ecu9Dw8iDpyR756uCru6LwglnQP6JO0L2PD7dl/CUC6y9CGmKV8SucefmxsaWwEU3NzcCIEbkiFPNPMgLcsT4QFYYQ8g4aaAXvZL6DFmHlwCy4vnZ3FxT7BJ6DqMSObdsW4+h06AVmZqf8x2QyLnkV5546xA+0948Ib29vaGYLQ4moFdWV9nNAKbmuugIeGAIG2KY0GGUAQ8aLesM2kbdXG+1ubUi4MhHb9+J9Y2lWFlrxzx9s7qqehaWh7G+yZhtxtLyYqystuPd9+/qLlKgcrgnc35x4nsuGw0BdHK4e6WzqD5eWV3y3CBAXHQiN0Sw2+D5hbbRV8gGDzdQoJu4AJ7tX8YiQJprG/PTmCzHN3HJPTcLkM95LauWEetuFfna/nvNMUw02hNtMqD+7ImYlltB85eV9Cw3mHym2zvy5ChHmficx67Fz8hbPCOus570Z8t/9W86hW79l/7l74+/+J/8hfjg/fv2GIH4ezMuQdCecVjtosAQXAm4rtmoXfVus40232sEuivKnMHLe7whTd8xhIBgCIzZ1kojxNQx+XoC5zMXSHJhLIZDChKu/1mcKDxBN7G2xgWdciJp0IO+ijKD37STQe9Lck2/6aVtjl8CYh/hXu4U3Cgd5eeqFOISoN98mG0nfyvIthhEVj4vcxnU87V1Brx5wLfmIZ95PFhEh+rwe6Vhy4eYi5lBBS8xPnuXl7G22pm6rJPH9vihWMwv1+U6ULiWr1L1DC3EOvU53daYWNEXNzkpzUPaDy/zjq0so/DQ3J/y2/V6W4FymYBywsic2TfwFrrhhZoq+SisUUEY9CVWTJk91vBq4JXwxGX65OZXc5PfvHfZ1Mck4b4wFUmD6eUdNLCth+HrzylH+jTtiywf2ZyVKd7nd8k7PKfnsabLkukX01/ny3rIl4/pfJUfSqGMTnd4dBJ37m67RnmLKZ02Z+e6f7Kdfm1jHWZDCQq9VtC0p/5sL67pdbsoQYwpVVgmeMcYrcvR1/oMueQ9PDyIu3fvzeSjnCwr+Zh11bybpcel8r91CIsTrlcBIZ10vBcNM8yd/lmKrnVJqV/ZROS07dM8os/fue5Z+rLfGW/ImMe2acg8pOe99Rz9iRdmlbGr98nrkp6JV1n4j76rYzHdF6TLslVEKYftM1+cXfOh/v6z/jJfi6woAX2IvuGd6yANRq0RyGvZqPlT91OtI2dpnOWXxzfz3GX/OlY6S+YuhbnR9fif8iz5B6/9t9tSl+vPHle+tBhjKvtkNo9lzG0rC9cpY0jHj/Wm/06ZLDiDitlNOuq0Il+6McvI72pd4zmE9zyFv44dkLElneOCSprX/ytb/ppqnhXiWYExgxE8CyielJmJYUodyisZ6rIQXAsv7wuT5ZUi0zTARiUgTOZ3ljEt+Hf8g1vv8zJaGcaVPQrO6LZgjfOkzPpUgAdLtovf0GmF1NDN5LMDocWFjBoIzDC+fduDIPnFUVErHtcNZL27MScO0m/vbPjrIqSrxViiLtJxYseTXAo3HgcUQU3/tF4mhwDmH5h8jCWKthJhdQv/c0A4fiH5698cfVe9CjQnr/uO3/BhfWOlrD5I7+88eFK5ZtsZ4Pl9UfoEimZ15TvJUXOi1aVjAKjfsRTkd7v47DbU+U2lKJwZmE5PJU3d/yQeiLvmOwbsrAKVTM42EyNM7mcTqu3IqeeUMhq6TkAngOFrWYlRhOvWX/r7pc8J36CdVF+K6/4t44BrCNY6sba2VPhrY8hbXHUf+AoVEwwv8EJSj2WV9/nOf/O/2WP+QT+ufbVbzCQveC54YBmDpa+UnXppI95XH2jINuHJsTdQNSj1bN+43rr/cwzx3tXSt/WYt7aogpNnyGx6wZiIPHljYML/lrZ7XJfLZ6vGfcbUBayFtzzUntIvxgZKrzFHrevtaKfDs5z6Sc3R9pjptSwgOzWfKxlLGSMjr2O597HOk/3m8pJ3/qRU5U/Kz/gcrr3xVSmcVLRBDIV1H9N30OqxbY+n6aAcdJFjZpSrdMq0b0RS2XJX7UmjPb++xsYLM/qcbZ4c3yaWuJmXIQzwLKaud7/hvfbWcfYLBzWtw1wf8vByuaX0Mpahd2PDehG+8dnbqNbRtFFbWs6m/41jRPnmA9vdbNXVfca26E3xWHn+wuME5MSUP2FDzWVYF3HHH59djnUSdWUeakPP8zsfyp1iTZX4P7Zb8yEvC/CUPXhT/80Y8XhdWsRYomS2zbz1RRkeT9465Xt7dvCoJxXwgTJ9gMllK6dCBHTVC9+iQ7SzQVrzlrLkjVRXuRw8mpYn8pjH9sTz3nlvgJLQhOvP3yzvquK1/WcqXlt137qiFECYrb+ZNDRRowDd0dmh9fFSd3otFHgHUEAIonuugeGFcGWfF68USvB380xpiWZ0llmhMfAZWJMpVog7uxlnBMJO6wF7o6f0HpyeRNzhjjOi/hHBGFNa7Anivcvkvrgaj8Tv2UJLfvCGPCjqNKKsmNieynLZ8uEzdJt+PuexVvhgXtTYISh5l025ySvGG3ekuZE2avEOmS5P9Fyiqzwykmz09S5QMEqmvKafdBhAbF2iLKHfiawI+dtKjd/EX/hx3xJLlZ9TEShGhlyFdi7w5M/sQ+MjuVzycmkoZWtVWjpuSmZRZpIeySL0gp9CjBSlwiMDtvV6jlMxPeAA8X3dx7c3KGYHtHr6bUa/dGvyhbinwXV6BArOUQnwFa0NLsUtk6sC0AFovFJslQwV2N/g7j3f7QV9jJuPP9orMVYaTrWC1CEB2kTsiXlAfn5y+9HtgZ9cesq2oLljGaa3HG/A54xLUZpGFcTmcXeYPtMhFTEnh7Vnp2rF//G135zKI3S8UKxO1urfR0dH+sN1N+L4mCBQb2Xwm7qfPXumepK+r/3a14ssWVYef/qs5CEAmC29ZcU1WU+YB0x6fFaZMdaCA9l2/5NnRVunrsP9y/YSn9km4DfbIjz8zQ9bwixCUmcQ46NtwJTJiDg4oH3mK+k++ugTbYfRLoxHjBvplaK3YKXzuO3Ut7+/XyZAuOj60xBQ2Y1GfPLxE9FGVdCGPjx4cTQ19DEEuJQ5vycN9EJTZgTTJ2MYy0v90oiquGS4eJBEK2/hDdtSS9pK1zilAyYs1qDD/O73uNdvISaVjWiSHB9eGmNM/HWAvbfksu/ZemUQ1R474njMS/Pz5ORklky1G17lQxsdzFwM+kalC74xqKGB79m6s4HptqEymOjpH77nYetL23TSV/Sbt43ze9Ksr2OwukwO8+Q2qF6WE9VsCZrf4qj7o+SBd8TmGWLCck0smrz9SqPSFerhMv2/A9Kpt9TNxb094inNe+h4+nRX9WabjCllr6pKbTqkgPZkm4j1pEzy8LSabW3Tu1xOSnNHJfJjOvDQoleyDuVJeRFtvCEgnd8lE162C2JmWQzW/HaJb+b/HA2vuXYz+dVKzXwL4+nZRfx3/8PPx1e/+vcd9FmUI/2cq4i/+9VfjZ/56b8e/8V//pfjo288NlPlQcBij+C+w1/5B1+Lv/SX/qv4q//1z8Wv/G//e1kF0zWfTcNn0gSw2jU4S6wyne/TTx6X1bCFF2OjSOVUqIh3mhUQB+aRH4GA9ShVVhoeIFjyuj1bVfAfyrylgNukCwGsQcRIg5DBM9LWz8nx6fQDiOAohwAAIABJREFUJCu+SryzciCGBmWWA4DEKCTTa6PwXCCVIkZNI56qdn9zo3di+LgtsPSia3CypIfbrXmggQkWvt8qsNo8oC91akN8dRsGAk4knwcOK8xRiddSz7ESnEE7RkGR3Tgm9H3hRTmVpj6rHFOlaooxlCt50+Y2ALiY9FLXVN7EO3jUUFCoDVR71jKY0cqBGDT3qepqVMLz4W/9FKXqRYBXltBH3InFwG1ut4nNqb0PuM8rnQ7CEPMWJFux0+2zglFTx0HBFE/knsg8JlhBK7jfxInHwyFyqmar/4kxSWWYSvJmYFRlUvGOS2aTz3yuEZRpqOMcCGYV75lAObWOvEnuzet793d0CS7lMFEsL3dmENBNT06S/uS4Kv6m3OzXtTVPRnymT+/e3dJ33joh9snxKpmHC5LxvNFmLV5ZuCQKvAxdFj994cYII6wKnYiD16qTjmqweOCUHO9KgGrxMCV9t7c3xTNV5L8Rwe3rs4+323ljWdhYX9cFzvCUssVbxUY5Df3CxKpPFjjF1eiFSrH85NjRtktFvI/zuBR7Ujod4qCcnnq0yNIkyPhhIVPH+KGLFCM4hRRAYMxvxnAhRV48vAnmk/sp0aZVVxVxfWOvSMoccAYE4CvIWfRYTsxbU0zcHDEvhgDxYiSHefICb8nsI0OtyArvKS/f5ecb9HbhAb+Pj+hT61PS395yGMUeV+dxvGnm5zeB5VO7UvWUmNSZSb7bNYixxowOcmAc8riP4R+X+nos8B7sP1kPhZc+La2DCpIVLv9dKsDBli/K8sLGJfN/Lftp7GDYtj1XKQRkHCsddk9ST1e6CNnyZ57B1ykPlMyyKSpLx9On9jAhT4AIc7gBPpoWfrMoqXldI6iLJ0oGGKfbTFt4Dg4OtRPAp6TRJb6Z/9Fcb+BR86f1JiPoJBj6S7/0d+PHfuzPxb/xZ//t+PVf/6gwuXBeSRrxP/+tvxO//Ct/P/7Yn/ij8b1//HviJ37834+f+qmfKx1kSMmf/Mm/Gj/1l38mvud7/oX4gR/4V+Jv/u1fiL/5v/yyu6KsbqZEfIs/TBNGSk4qVjAAd62ssAXHZ2KNxrrJmr+zPQu69oSOtveFsvyT20goHAeOYkAR+Li0TDBcek9Y4SSoWBKIm9txNGk4smpFmafXAzb6BA95zLdWExA3/w0N3pITtdP3dVyU883NsRLM9uDAJ7i2GEdlxcug9WMjhRvnE6mW980WoGfOI2WgID9Wa0X0SgCpy+AdgZ423PyOFZuB0bz6cr5OZ6E0JycWeGcvSB7139j0ip9y6JNOxx6BLBdgxewPv7Mx4IKtfO1dow73e3seV7nphB68d8udxANyKdRDGZSN8cBWW7tdjDgkpkFQvj1Alp9GAOG1uFS8bPq+pXqKPlJ53AhPeskXQeBL7WjNaUBM3y+ULVIrqiru3O0E27HIBmUBQGecLNrgNnH7+LRcbQU4JgT6qYsftaUwCfq14MjfUcXWtoOQnYRA4+VylRAy53o2tzbVDqeZKFgaAwo+Usf6+tp04i2d+9IWCvkIjH7pUbDv2vQV/fHgIfXwMLE2Ymvb21FegDgotfYGuf6NzTQezE8CnjsdrjtySfNzDrz3J1rEttWscZ3fWIbgVwbi+ptKE9wUzK8k39nZnHpa4OvOne2yEKvL2xLfSinVJDAQLRcmbm2tbr9ZXWmidMybFz8EEnv8MI6ZWNkGLh5AekgB/PYYZs0bWxlXiOwaIsQgoJli9von92HKTKHWsq4QgpShRqys5jiE15PorCzEcmdRCwHLSlVklu+RP/RZW2MNTxhpaMOGcPCoyQaOZQOe2OAzSKUpSX6lpydbsLUN/y2f1LWyulo8hfW71IvWBegRB9RnvvFkrGDvLJPifOS/jNVIQ58y/WM9Sg7SePuN+FCPBd5XsbRc08Cbe/e3dcgi62GRtYweVClOS59RHrTx47gqeFLrcetO0wGt2zvIT+onB7NrzBcPIQsdX+GlUlTf6urydGzwAsyzjDnjM55VQjj8neV0QaDHafigA5E3vks+AZZq3UM+aHv73XszO0xp9KnYN/Lfaw76zja6A6eTZr4u7KMn9g4O4p/7F78v/uyP/Ej86J/6Y2KqOFhVcd69jD/6J34o/spP/mfx6MFdekBHkr/vB34w/pu/8dOxsbIUT/fP4l/7wT8Zf/1nfzI21zcVR7G7dxg/8qd/LH7mr/2X0Vle0LCzACcBUoNpVugr7KphI+J7v/f74z/9838+3nv/rbqTFXDsCdwYFaz8EUQLQZZaf67fa9Ipk7DTle0Y4nwqnxSysn6VVyhp6qBehJzfpOHJusunzwgwJS2tnGK0pOFSaEZI63pB3/GEojr8hetTU7I9SYNVCnQI5JD7k9gi1TKdVTneB/PLlDKJOwaqpt/Kuf6cdfiN6FBm0pUtgDKxe4uP8knAjwHvNLlDNSzmJBrbf/obJWJKat5J2/h7lZv1+rcVCWn4bE+DWQfjeKf/9LtWfuX9tP0YS6TP9mc+FVrEvFZg9szN8oX0PFlX3fVpfPjr0papMiy4Q8UjQFvcJ4VX6otX+W3ly+q+qUWG24xXjSZYBvmDfLUcqH5Na8ibJ+1arlyHJ3BPiM5vhTi74sxy4HUtt7QjgT69jWRWzNAhML2kaZZOET3lHTRhZMlbIS+d24BYNMQnlLl5zwSUfye9po9+zEWQ3+T3khcxiqB8b2+nDNnoxBPImG6pL9RGdVvWRXkv01x/LpMPW7TiPURnHFKOA3hgfvs35dlz6W3wpJffadSUuBXoFnCqx1mdf5Ym55ulybqN9ymz0J9t4D3PqzSVviePBGU2D2kzj/un1p8uV4uxYiS8LGfky7rxXnDSjifrL0ORhYEAT+mPl1uq5Bq7lJO05Jgr7/Rr9nv+5nF69IxDSaDfj+WJ+mfHAN95bL0qa6Tnqdvncur0+Xn2N/XTr663zmv5Sn1hL33SzG9COAhxIbs/17sLyQN+1+0hNjNnALUbXT89GMIbewatt12G81BGygrv+WHuYPZ5+RBO8mC2ha/z77q1r7NW1ZWd80rF7tFYmF8IoO2x5j2pTWfy+Omf/WtySz+8d8+8jYg7dzfi3Xffi1/91V9T+q/+0t+Jf/S7vktHSm2XVPHw/r2Ya4/jv/9v/3ZdqfvNHaYVM3SZNm218PfE+7lcwOvHncopufyMKPQE1FVecaxdWzMprDkoSg5t0dTvJAjC0XAdDnT0ybVaSKi3KUwNN9zdlzFNdc3GqNGEWF5yOiQfXObgMNXl8o2PFcP+7BmgEjQA1O4qiLkE30QpNHlwjxIxTSnsBHQWsEIGkgrK+/K8VSO6pwrJaOJsD9ZPTjyF10VJgIfkgYtCJfaAHJ7wi8goTqgux/fY+TN8Kkf7J45jYbbP7ZiaDygRFKZlIMudLbOaNO0qL0yCNYShJc/4yzsOlGUa+Z6tMPeHeQVmCWnzHRAU2iqjVYqNSp56Nc2EmBdeml7fhVeLJHwj1oP78grFFf1zWWLerMqESwUrPSjUVvq5piUhEDwwNIED2TDdRrVhiMfVJcLbpmJb3B/uN9zv11fDWoFWDeEliSOFv0dHx6UPzAvHsrne5Cinpfw3xnsVF+c3/ijD22kvFcNHGb7bb3/vqPSh+XChOEDXAY1sgxtUz5MY/XRwwBY2aSizGbu7J9HXJaTuB4Jrp+NJ1cLr+tJbvnNAbk0/7akvJPU2JlsVpHWqVpweUwYGiSFDDg+OdUKsHlONeC6splpXXFzUY5lJuAdPNHF5bNBqMILcFmpq6H46t4/+a8do1IgLXcrM9/yAFdbXtgr8YCLjPjfLidMQk6VTolNpL8ZNAXWl3tGQoPLkNQuT1FfuC9oODMp0zLFFdw2sSdEBunyZGKbzYpw6H3g/U1qkOxuhfi6cpDwumZ6OWYUhEBvJGDM9GIiShZIIWuo88AXZnxQdZ74RjC54koJFR3XWeaknuEPwusQwQSsHPBwyYMpdf2JR+Z0BJtXH8uByz+BI29E5tiHRMZn0u+l/8ulBgUoxbZyA5Ydyst2+Q5RarH+Yk9BZfA9d7EQ41AJDrSVcrN3nRwUzydQZA494I/OELfrBjWVAclr6MOWWdzfXA8dgFtkgQF13nhbaoedqGpBukcuQCGqlLmTHGy4eD9ioAGTacLRhm/x7U79r/9drpQAB+O2fhfZcsPuzqDuEtNybKvf/8X/6W/Hhh18s6g2kUcqr4r333oqPPv4o/tl/5p+Ijz/5OB4+vB8NzSjkByE74p33HsXP/6+/GN/7x//5aOP5aPiG5//4L/xFDWKwavpX/WBvu9VoxeLSgrBhDvaOtRI9A7G10Yrnz3fj3r27cWdxUwMMgT88PIwvfflDnbghEHBv77B4pLx/ixFEsDUu9Ivz8+h0VuK3fuvr8ZWvfEn7xlxD8pu/8SQePtoKti+ggQnvonceX/zi52M0Io6kGV//h0/iO/+Rz8fVdV/bVexrs+UGvgZ71sQMHB93FahKHAkTmzGJ2CcHy4M4m1HMlS1D4q84McauHq7WZ8/3Y2d7KwChfOvdeZ1gwbV78OJYAbMI/3UfoD+A71oR21ziOJD79/joLB69s6mATQJPR7eAb17FvQdr+r26uhSPH7+I9z/3UHziJAgnRm5urhR7wiA6Ob5QHMcXv/xuEM+Eh+qTjw7iK9/xjnCdCA4lAHJttSOskMHtINhe+/pvPY8vf+VtGQhgfbzYP5PbHqwSTuqdnvbi3v3NGA0AbESBTNS/tId75VAmtAPXskAdx2x/1pANxFoB9jcacypmXdhK11eAsoF1sqzPKIr93ct4/8NtySRlDocOil5YdLnE5Ry8OI233tkU3+kP8LgAbdzZWVdfnZ52hVkD1gv8wX1N4O4XvvSuQAcxinqAuk2u1Ua2difjUew+PYz19Xd1oqjZbMezJ0fxFvgrm4sqF7BElPL2nSUpSXhwetKP+w/XFL8B34a3Y50wxADAiGNLlMt1F5c2NJljAILh01kBuBIDoBUvXhzHBx++rW0VwP4AGgVXZakxp0BUAv8HN4Ngm5RykVMWRKAKc3cVcUVcJgq/CGTF4AKig4tNvX1mBGL4MqmA7+jE7e214t8ApOQRXlZrXkCU5+fz2tIkLub4+EIyzwkc4kxHQybXc7VhfW1VQJAYtBg4xGoRoIoBe7PIRcUjBcrLS1Z80qdnZ4L6cGD1Wjx+/DQ2N7aiKcyrucCgWV/fCIKOOTm7ubUh44rDGXhc3333bQUsE3JzenoWW9trmg3Ou+cyHJqDYQCz9Mknj+P999+Nbvci3nr7vuhcW1vVpM5hEHCHLs6vpCO65+extbVmeW234/joNMAdUizJeKw+zVOLgJAy9rsYfGzTLrA4nROoIVtu6BjMdA4ZHB0whtanJycxXDor81oMMi7h09LyvMYpnjrGS3PY0NYvpwiHI8fDgWt0cXEhndc9u9JWEvFV6AbKQL+wjUO/MBFjjO7c3ZB8kJcAYuQHPK8ekANrliP6nXLRqS9eHAhDS4bQxUUQFH3n7o6AH5eJ+2oQo3SifmK+WOmsKBaP/s5bE85Oe8LeAnQV5qCzAa1lq3R4O4zB7Y3GKVvb/cvLmF9YEHgjMgryOwbVhvje1zYdQKXo/OPj0/jc5+jLrsbfZW8Y6xvQZIRv8OwwUolPe/z4STy4fy+ur/GIAT1zoa3ohcUlAb3Ora+IbwSfExcLtpJ5sBq9i4vY4R4+Gc1nAjfGeAYj6vTkVMHnJ8fn0WpvKd6P7cZWc05gksDDMC8QTM+csHNnI8a6D444WmRyXvofI5PFEI2Fb8THEW9JpAghGOQxhiBGFgdeHAdmA2lRcsyYZ8zNzS3F9XU/lpY6mkfxaq3PLcXgdhQL83Oxu7sXH3z4br0IVIlv7r83ZDB96wajzGEzgup9UzOdl1jJ3a6ReLc2t1SIUssV24zlTicuuufKf3pyFN/9j323XNWVtmHo30ZsrO/E06efBtcktOftTuHi3F/7ta/JfYi3ZjwaxSplXVwIIE4nI3BpVM3Y2HT8wFe/+jS+/JUvSGgAM+t2d+PDDz8vmrzH7cnWLQW3ZymePd2PR289ELT99o4DU1fXVqLNJYpzPkmCB4BYDi6bXFhYleCsrm4ovqWqfPweZaHvF9c16RMsvrS0Etw1Cf8IbHSwbBWrKx0bByUAGNpwAScYIjzNIFLZllUVb7/9UBPX/DwrV8omloP7uaogLgueE3NwdT0Kx78QXOg4Hi4pbhGMVTmO4qx/JeWGcs09bpQ+qwYmRJ4XvaN4+PBBATubV313793R5La0vKSVEQYJCgy8qYj5WFyYj+0dB/sCNkc7trbg02IscEel4gIWYnWN+/0sQ0uLSzJ6AZejPXhscjsmT3CQD2NE++tzXnESs8Q7QjG4BqCP50SnPlqxvNwKx/uzJz8X7TYXYJYVUrm0lkDxdhv6AbL0kAPUj6dZLmNuNQHFAydrEvOLrbj/ANwgDHpiTQC9i/j8F97TliK8hn/IADwkjgl4h0ZjPh6MGBfgg3mF2GrNCTjPcVSg1beml9G22179KqYhGnHnbo4pIw7DJ3gOT6pL85CJgUmR00ZbW6vTIFpk1g/xS0sx116SomfMYISvrqzI8KMdyCf8Rx4wznjIj3F20cPjYl5Q9zvvAt5oLy2LkHffeyDes6peWGBiGMXGxgpJyuRzKz5RJjxCAUMPOFTUScJnTw/i/c+9LT6xdbyyxgR0LeM548SePD6KDz94INoYL4eHJxGNVS3TBVPAhHT6RP3y3nvvKd3z53tua4mzevTWfZ3G2yTGa2szNjc34zd/4xtKu762ZpKLbLItt7m5LkMQz1tUa/HBB++L3nv36ZeG2oDcbW1tTS+ixYAAjsGrcG+pYfB84Qufk0fOcZb2eDBm6Q90AAbpe+8/KvnswVhZWSi6AK/GKNq9iLv3rKfgHN49w6v4Mlb4eXJ8FqtrO9Fe8VF1TtbNLzDOiMFZiOVYlNeTRmPUQP/8HDAX9A+y0YlOp6HTt3znNE0hVDNuDb4Ysbm1VoCAKcdByhiEdKnjkqr40pc+X/oY+ID16XtORTKU4BHvoVshCYBpLrYNP+Kejt1nB/E+YRfymrXiG9/4KD788APxmzE1v9CJ4+MTGfHS842Ij7/xady7tyM5oxjacXnZU5+zMFhcXIqnT/bUlwlr0Ovy2duQzA2cKP3k0ydx5852vPfeOyoDIx063d5G3Lu/XlDTJwJ/vG034vgQj7L5Br/WGAtlvFAX+o339HDG1G1uwQPejOPk5Czu3Nso8ZLEPBGMPQpi6zReGg318f0HyJwGWWysr8X11bHaqzeNkZDCmRuJU6qiHfu7B7G5yaKxjqO6ujrRZ4Au6TjH7y5JZ9MG4GVAb1/fWFY5DBDkRMC0TesiddMb/O8PnMEkgZOGbkSTaP7yoPgQBCbMztxidOiYsndPp7FcZoU3325LzDgaubG1ogslGyVuBud6e6EdqxsOciUbkxKndX7mZ/+KJwbts/o4LC/oSDYDfviH/4xOw9CBPF/5yudjMLgWQjGCxKA8PTuSwJOHh4lOmlz1TzToMb54p9MrBKROAzo5oj6Jt965p8lP+UBAXlrWippcCRSI8HrAc6W9AwaFa9PwRa4Mko6MERQDA4ZBgHdq3hKoU01DreiyHhLd3g5iYZEAch97BUSRllgZg567LPTfKjwoOyuLgs9vxDyWhwybNfCeZHlpTKgtshE0eVEauEsEinsQQ+HS0rIMBWtRAv/mYg5jVqwiRSXEYfjssgm09qQLTywbE5XrQV7J63jvwerUWKKoZosyKUPDXB6GZjEkeQd1baGHm3a6EcU/zYMhRbB/M9vIpbk2psoMoF+rqwxuynAbMILwfjhey/zEcEJOnAbNoNvafNqG0zkD0JRB5876nc9tRRjKfXBoFVXjutrtRdFE1ZTPLfWj0SAW1PcE1IOUPhKqbyEv2rpF3Pnx8GCIiRluhZQu6Nc85knEvXt3XK3ehoy98qfGEV64zS0CqU1/NEfRmmProA6e3t3dj7feeljS0D9MdL6j0fTbe8CEmP3OtSA1ejRltwKvE8YyRBMIC4zAe++/LT5QPW0mP7RT7tvv3Ivu2Zk8AYr9qQigt1HKdhJj9Du/60N50zA4qOXOHRsO2nIp8v3e+++q/9yPk3jr7QdalBEkS79e9q7i4cO7oovPvctefPkrLKos0+TjSg3z1Ueuu92TePQIQ80YVaSZM0BXsldeBAA+PelxlcZJMaJcLwm7510FzFOvRp3iCK1DaRCGCJ4roWNrkIMkP3vYgqBdL1JoMx5a0nIacqFd688HD+9O+4Z246GkfZZ1hLCKjc08GOLxu7xqI1wxPQJ9vIrtO5YVLWAqFh0UY90FeSD900c8HjMem+a9ZZcFLoY33/NzenIW29vb4jZtpg2Hh+joHdEHj4GLqIW9iu/4rs/HxUW/yFgVH374OXmd4VcZaPHgwYMiT1AW8cGH70f/sq8g+qTvnXds9OQY+47v/JLSpgzevX9Hn/O/we1tvP/+29aDaiNhJmvlRKxTvdh/Efcf3Cty3Ijh+DK+8OV7UzmAXxq7Ja5IqPfnlwKDhR/mbfIPnjWEUcY2MAtUPyy4580zNW8iTxMn+GRwk6vZ0LsyOcRk0oy797bL7QWUW8WDh/eE/p3tQ2/t7OzoI/1AKgw3yYpO/Xrrm4Wi5acRXCr++S+8X/ob3aHJU3oty33dv2uL5HXX/C3qk+ijSMa4+gyFT9IcJO3mXCwuAiVvVtOn/FSNpiZ7vEy8aS8sxEjHgD0pMbAQ1uHgJjZ2tqLRztWYaizIzTmB1cRJqQHqVg1jESMEpTup4sPPZ0c6rVcOjgVhIJKQScUDhDpqnBbnsPLyypzvgZOfxNvveNVE6/hZWUWRe4LGuOPtmk4feJLFYwDIm76rDBXAIN3YZIJzvQRuclKIiVteC4ASdboNzplWaMJY4rGym8Tm9op0looJTq7g4SqxBlo5sAUITY6dgFdsebnN8LuqjcbiqaA+jlJDm/5VnOSypyjrSawaKRvFDTZic5sJQtQpL6sQP54M4Z/5wtcYE40Ag0s5imGytl6famR1hRdJciUBgp++0iGVHHk5kk8ar/Y4ksuEmsOG9ONYXpkrJ3xoUcTqOsbcRFtZ/LZTyXEEpqcZG9v22qXSWV33JCLadYrRygFaUDbQABAqW2FT2dApTbcR+SLN+oa9Z9TD560dVv70ulerAsOrCPplUvHoWSqn81yX+Wk5USniu/NRF3kw0n3NCrLCu+wzfVmwaTJtylOe2Enj5+238XC4TP9mu8zGXLYZj4PTOx2rbR7Se0w3YnsLH07ywVvz4pHaZyMMWrRdJAO4IU9x0spvVscuk5JsjE5PwapoewNcN2OmqW0osJgwMtNImi2T8QLtqQPwsnm8kcp83rljr162/+7d+2XB4jFi2l4Foc2x4NrwOPFkGdRnI9M84cywF2Ye68kpvEU80E+e9ADrJfpAHkanzjHhd1mXvej0A/xmV8B/lxIUE5q12VuKfHeW5+vFrq71wCi1LJZBLmOWUrJenRZOwvQbfbSq+rLd6XlyMk5HsrCs9Txl3b17x3zCwzzBC26dl0UzJuBDlsl7DAj3oWU/82Qa4pw6BYOL9LwXS0qh/lzkR+PZJ4H9tXn3/7D37rH2JVl9X51z3/f+7v09e7rnxTya8UAQJpFsjC0nEVEwWEoyIRhiy1Isi6CE2Mg4UvwHWBYmMi87L42JbAiYOHEgSozkxFYinERRRMKY8J4ez3RP/973fd7v99nR5/utdfa+vx6IJeP+MRp29/2dc/auWrVqrVWralet+pYHOnQu+S6nPHjKP1PBt3pQY5kARRI+MCfRLBIrCKGfJJ9tPj1YxW7Ly/VhuZHL6dbpUKsQ5ouysGGOTOFCv/ze+E5aAkdXTThf0i+K0e59HAr5RX2Tv9rn6Kb+4cUzv/xJeJYF5+qxg5UyuG7YV5n5XftWld67VuhvWZA1pA5vb3s37QS4Vc50cnKQXv/YB9Nlu8/emw0puu2HDx+nD33ZB9XJf9VXfkV68uiZHBtCjpSPnz1Nf+Rf/vq0zYnPFacbhFAa+grFKA2glfuHvCzJoHn+7Cm0y4u3G4M2kgixgkVxE+1VhygqSzhfA7KZCvk4Xb6fEVahURc+CQGD0YGQll2CdriuFWvEnBQt9vhH6/oRLIsRks5xPDyjTjZifoVk3DBkq3kQRWyBG7AHP8Q/cSAneUmns+VWDB6CBmfkMZNFerGhuJD8Eu0bvC1yZp1k5I6G+JXyCkyffCfzztt69eKNJy7rygfB+p51e/r8Sj/tCBxA6Ocw54EQjdfPzXApFwTpt3yEoBk9BfIDSJrLpkNY19KUQPcyo+IA0FdcBFUjS6UJuYzpvBhokqqexiNiqEoeNoHwm07HfDLwkWNJHKiMfZW2xH1jZUGHv3U6ez400GZ2Rg6uZQBW6sh5glt3oOUvf4Mfyxm+HZNXq5W6t05tWzyvysPfAdp0XEjYC+2hip3D+YrE9fAmHO2PNuT05tfBs5y75zTQ5gicuNjMcH7eqthkShdnDoDGJknP8hvHGJkvtZrUbhKbmKkIMXmxiftDSXH4btQF/qYZb4vv3Pcp72Xd4dXnzVkfLHVcXd08fb3T6skMgn9mRaDDFTK4uMCOzRz3iHUqL/MWabkPL8g27hGjc3nZKneoajcgGzRsx/Z5BIG7XNNms0b1zElmwJn59In1Hog4JjJ4QSdCb1bgdrbtwFmD/+ybFJuzAWWtaaMIbQS+9V9RpKsLYi+5PAgDwdoo0NyzTyNg3vowB44p83f+rf6OdI6R4ikwCTkIXFlgzvhB1qNLZxYO2y6bt4PLXYpth+VN69l3kTsxQJTJd/4AYI36kYqAegvE7QkwXOLNQkiU5+By80Gey/OOYrlyKTq/VKBquG4AAAAgAElEQVTAuoF/AIyUQ9dzisyHf2EX/hZ65xcHChMnyGWfVVe5DCaj37D/MoaSXo51ULTbXMiVmKWqDGhjsYmD+lO2+0N8M3UifRWXyfpndo/LL0ksB8bmBbeHKE+JXsI/pVd/CYX/VkUybTfjoMqMDkpDUguq19K//53fkR6//ejGoXzTxTKdnZ6l3/s1X62B1B/4Q1+X3nzzYS7CO2y6vX4azFbpX/rDX7sZbL1TAR7sKGO2VQZjBPzJiPIDbI8AyHCyOH5Az8KxYfjsHODCYOIzyvMnOwNiVsq7GBrXpYGQh+A3guUiPZ8gS4teflvAOCnCf57xwam6sfoNwKBoJS+coB28wCtDSvNrJwD9cT5Yl+cYPIOG6dyo1vyGr7PnsbvIdQQgU75RrdNvcQRskjt6BpxqyIRySsesaing2t/KfzeH7+pWTaeIqwg1LqfT4cH5OcV5h5WfSW79qWYZVF8GFwKGK5tAKQ/kxH0OBsYRZeHmXUCBhEuN6UQ0sFQN7ZEIZrTM+O0ZKdLZDCwHn/pOGU6zXhvqwLyRzXxJqqoogyp2F6ELO1kHUdq5kI5kYRuuNYClHMzsASS8xKG5lr/5taMzTfKp0wsC+ZOBVjZj3SmPS3ACD5hcN+pgJHl++w/ZEiTL73C61cESVLjPMT/IO3QRafzCkJnB7rHH3CGFPHgKJo4Hha6b6GZbdJ1BzyZOsbRBaG/4lTMHvI9A1eC/5Cc4oOywg7hHTEbYJPfo4OP4HX6jr/ItnDssg3OYbVAw/9U8epL55zvlUkcE4PpAIwZ/JR1oWIZuuxLYphwOnuZg7NC55Qk907SfoIPDD8MgWmNjBPAS0GUQJj1JvyRhQOQgadIGbwzwOXle5Wf2yB/PuYXvCT1HDdCpfH6eOUUXToNOPHhOLDNWrpKu2YkBU9zn88Vybhi1fDro1KW+mdngL+RCcaKBTngJUdqQo+UGfzG4o0yu6uwbt7Q8FrIDfHjlzSPWKzmQZYA42hcslnPJxLx4AxEz5ZKIdJf7SJWYbWUD5okfYjbYdpiTUMwGCzB4BYOMS3okARvFcz1iEBU4UyErwji2NvqoJQ4yD39vullnMhX0dlN3bt+BvO7n6Fyz6qV4N2y/tC/FS7zW6/Wm9M339brgv+vLRvH7/sVvKv6b//5nC55t/oplsV6tiu/6zr9YPL+4LNbrVbFerov/4//6VPHnvvt7i5XSrorlel388X/7O4rhcKq8RbEufv4XPlX8hb/0w6IvequV6RargufvuDJ/q2JV/LFv+5PFk6enSsLt1aooLi+vXL7KLIpP//pbxbooabZb3Zy+pB314EH1O7/n86Xvraivnw8GA9Goph8MRrq3Xi/F93AwynWkHuRbFY1GM9P3vbMzy0rPi3Vxfn6htP4Hnoui2WwXpulU19emYdEsJbezs4tiXcxFe7VaFZ954+1itV5kWuui2xkW62JRkcu6GPTH/i05Oy88rlbUd1Ws0OHaOtjIT7K33mezmXQurpS2KKbTebHGFpTO+ljMs+yzvbSaHcnHSVbFoD8Vn1HWcDDRc+oRuphOp+ZLlV4XK+kCPswr6UZD18f8rIvF3HXKQigm45noQoKyxGPWZ6RxedDkjusRfCm9ErpcvooOGsj1Nz/xO+QAv5al6COhZSlf0Rcf6DLrIdtrId24nGgL6IL70FouaZX8Ns/zGZ/+Iz3q4/lqhe5dS9cx6xWd8JX8BXZLWfDvP/9ele2ncj/SKpP0YpobPrP92J5cfpTN54vXcrFU1vJRyNGfPFxSb8m75C/4CNrLRWk3UY/f/PMmz0GLsqxTl1PNX6Yp9RIyD/1X61bmzTYnGdtHlOktD9JuFLXRhW2nWq7oV+xY+TbpS55Jh/yVN8vNdYs0wZM/V2vszzZQTScCFfo8k8o3dgr/aKbUc7X9qvzsS/y9Ut9MvFqHMj3fZKAv2GTw70+nD9t1+pL/im2LX/xiaX9qf/l36EMyyO3MdMykeayWGd/LT9N2eyR92BHyiCvqGr/5jLTl9yqPlq/TV2Xn+0HvC33GvaBrvVTauupp/sN3o8kbMtJv26H7gtJGzNPL/ddD15c0XKuO2jWi1ahd8+bpvNlMvVYrnT0/y9z5bU8D3Vo9/cl/51vSf/u3f0bHc3zmc2/peJRv/dZvzuNWL8F96x//N9P3/qW/ki4vrlOvP0x//3/+h+lP/YlvyS87fjuAOG9BL454xY9KJmCXN6y6Bsx6m9UbEgdlRqAcvK3SV331x/I0JsNz4iS8MweeGWU70NtvHB6w+83fb8jsoCpL9egcVFlisvxWZzor706oBFYbbbvyJplSun+/RFWGvoNPxYjq/9p74Z23uDyDop08cTAlby1FeqADfPnGcSfe+fZeAYXCKG/oKf1zX/V6lp/rckKckCuXX96IYyJeB5kQR1O+WUj/foGR/J0GGfBKAV/+DmSA10O5T352UMIP3y1PAki9RyDLNxUKKvRbqut4dItlOM/oQZvt6+jFdkg+6DoY22RZxgx+3VTI551UFO2ygKIgTsyyZAcRsVErxWmYX7jwa5LsQN+dV8He1CP/lMkh/cqyqYtxu/Bz6lBtuuaRN/7KSqBo6k02z5TobVBls5htHUa5moGXLFwtHXipmR7rQMHvMh/evpkJKuUCr+iHOyFL0lh0pPcbP4HfSis6vD0HDSrPn5dxrCPKDTlYOJZvllCegQjZqAyJBJpRNrr1tmb48R9H1Tiei3RFgidxbsJSa5HqWSe0fOsI/YWS+GRTSpV/A2huzCXW73Me2hA88tYs3WqWKGwiis4H00aeTRsPm81y0IfLtp14OcNll3xK1pqhgT7CoWz7Iu5AJuTiXyEHaEAzyyzbTNTfMkenopDpeqOI9Wt7ID+y21zE5WScUdsi9Yp2Di3bFvlidt58WnZBhzI4Hij0bJvLmHGqVZ7pyvYM38gGuzIeHXII2VtelmOU4FLNP9/h07wyUyR6snVmQ2/yb5/kmE7XJ2RcrR/f9dRtJNzyZkZTjzVTWs4oB7/kpcxoG9ZrxIuoHQhjzjbhtFmXymf+Q9aUBEwLuyItz0w326v0Kb2UYQcb2ckuSnvyciz8+c/2YRmpRqqn+xz1BTIkV54Za9Hd+D3uY49BryzH0nk5/1a97svhoFKqGlFRpMur63R2+jT9pz/8l9PXfOXvSZ/61C/KvFBydhPpa//A16Rv+sZvSH/n7/x0en56ln7iJz6Z/uAf/Bc21Ej3iU98U/qzf+bb08///P+d/qe/9w/Sn/0z35G+4uMfzUrw9LMb2ybbF/jiEpmCrLOvHCXy/zqlcQZxtAOpC+PDCoYM8SQ0HE9fm3A55a0UWkIp14KZJgdkzDQot1YuCamBQs5YGUGPtMZYcnqcwmoFYKHXgsVsSloL9jIT6YhFoAHgRfwbesQnWMCup4E4M93aSrhJTa0pk5r7nKPkGBPLADBFHAudsRsA9710mRuRDtlVVv1DDFC/NyF1vonTdJm+UU+c76YOPZfJ/ekGSA3naKwjnWMcaTj/qz1SjFEmnMAgsp90WVrqzHFDUdZ4DP+uG86COBUftkt9WD4MQDkvGbDcxXbrWqFdCOoQvNzmJVbrkgN7EUlu/ABv6oy9GCixrIITpO6U4/Kdl+/OFzKOwZL4z2LjGXKYjs1n1LndnAqkkDopzQqbIg0Z3fzRmVpWPluNJRQPf3K5Wjb1gA3bIv/lOcCC5hP5DPoz4arQoTAW8Dlkay1NUBTlTUYZYVq2sZV83qE7NwADJ2MwXOjcvHQAzz7B3fhYy7ltyXXl3ClqydIEOqO9LaWfs9NWrp9FTnyY62/5EpPBUiV0Ok0O91wn8HfgUeghiu0wLpMksIZHttVj6wbXQwZXlx3RoGOYzdap1QDyZKhltnZzKPypdmucMb0cHwNIo5c8WbZJqdshxsxyIv5qNpum+XTps/mKupZ/AhAX/BsO3o04D/CUWALnPhf1GQ6nim3hGTc4JBWZwhfPOfMLXdMmHTtomeAHDYJof4JuAcSUncgufOg0hywjL/SFTDptnwsHTAv2x5+ZwU7sX8AvIz2+hqUb8q0WtVSs6mk6XepsTLXdmmnyHHwzLh847R246Jg6oEvSAGHAPeRJexrnc+FYHrZcBkqHjxn0LasIgWAXKv7OcXUsyRoYlyVSHyTN8hDL7VPZspiR5Orp/OzCLVJgpYB5joWLJHsdz+R/FWPJ+ZVL2+X5+WUCvgZe4LfTHmvnH/wTuwS/jWY7+2XAPSfp9FlDPNo31FOrOdAh5MiE+rP8Dn4TFwcnI+fGNSES6GUgugbmBOdtnuVvoE3Jbel+4enjs+x78CG11OaA9Sow7GCSJhPaWFxgohHfWsasDQYj7RREPdOJ+wraB+XIJoqULi/yQdqAL0+w8XmajueakEBnwkfrUh/bF37l82+eC24Evcf4ILh4GZ+a03gZBb9YZnXg8tqrr6U/+g2vKrBT27EriaPTZzT6z3/Nx9PX/F5v18T5ezSe+zvWiVM9vf7RD6bXP/JlFQoInlFvbtg3ntz8EQriEz5Gk3F6/vxSCgSUjV0ZxBO0O910/94dGQS7XtimyawPRvvBLwNwbpR6Pba8Hqf5AodTVwMmPwBt4BwRDHp8dDc1Gpfpzu3DtE/+Vjdtbx2kTq+RPvZ7XhfIGoORZrORXn/9g4qZ4k0fwwLLCTwikGzBcyGA9u69W+n87DJxXhIBqIfjXRknsSSAZva6Le004a0LZHViWQDR6/U62gm4Xu2krfpYTmUyIZ4BoKe1UIRbjUFiZmV7a0/b9ZnFe/Dgfup0xunW8Y6AyOCBHSc0jHrtKLVa7SQQuvEkve/9DxKIssYreZCgt7+/lfp9HP2WYkg+8MEH6fqyLRynxvUgvf6xV9U5DHp2SnfuArmwUEPd37steX/49Xvp8qIloD8OR2WGheV0HDWOh9kunCKdEFuFV6uJQBRHIOLWtzQAPDi4m1qtng4DpfM/OCRA0Z35ZETAMTNIRsllUEwdjk+gu0yj4UInbL/nvYdpvaJTBJxtT4BzJwDM9QCaO06t5jC99r5jdfLIdLnYSZ1OK91/YHBIgNyIiQHKgRi1g/3d9PxpK3349QdytjgVnBsYUWylR797e4fp+bNm+tjH3yOnT/wJgwMGEuxqWy7ncmbcBz+Lwa7l4fP+AD/c3ztSrAq7YhS3pxk14z5x2DLAeMBTAAVBx9nvYc+ANQ7Ta6/d1yixPxil1QIPt6Odrux8W8y303A0E8gh8TXsNiSGjEHfznZd6Ok49Xp9V7sosRkAFUHLp32wM2kkpGA7bnbtzRfLVKvvJsBk2QUKvUMA8WYEbCP3bcX3UM/bdwB0nQvglM6VNMjkzr3DHKy6JV3R6dDJtdqTdOfuvtLhKxhAHJ+wK4nBO0CQhsPA55yft9PR4WHa2a0JTJV4O3b2dNqdtL29k7YJLlbnNlWdDg931blN8mAHLCXoOLiYzmKpna+Xl9fptddeUbunHTEYffXVV4Wdg/2CbwX4pIPYJ+nB/QfyTast2mg3HR6B+YadzlK/b7DIne3ddHXdEGgjskVO+FLwcyiXwRv+DvkTt4JvAY6DTp6XOdIADcGLx0o7TXcko/UKn7pQ/ZiNJz32ScwT8uSMMABewQXr9UYCMAV3ixcJ9MOOXE64x+YECjmapLv3DVHAKImBDbbObrnJFFDTXSFJY78MajgXr3neESTJwQEgnEO94BFLMxoBMHkgyJCrq5agDxic0rYajZZmlYF3ACh4NJrK/hYLcPDACVsqjnT/4K5gV6hXnjoVODAz0sQ0gU+Hj0eWtB3NRHGg7nikODBDTLymg3q3trfSeDxMd++9JrsC9w9wWmamoffs6ZVOrsB3cb4c4J67e/iXuT4BdGSQRRwevvoDh68KcBVIBwd031N7oG+hDXA4MKCgz56dCYdqOBiojgxiaVuDwY7a0PHJSVpwGHwOHsdP8QPwUQ5Rp07srmYwp9Aodo8TV5VfiACwxA/F7BEHAXM5AJ6dtId6dnl1me7cua+2j10HSG23PTN0TqItcm6pXnP4R1f5Uu3fL+Xfl7si+IVKL9dNvdaa1zy/ULzD5l659swSaKzlOr/XzKu0vlCpX+herMmyCvuJP/YnircePcm0V8Wnf+NzRa/XK9Zrx+s0m63i6ZMcU6XgiHXx7Ol5jilxHVqtzmb9WPys1sX1FXFDfk68yVtvPisWC9alzffVZbeYjPPvHGvz7CnllHK5OG8VjilxHug8fvR8Q2O9WheNRquSZ1X0ev2bvKzXRbfre15LXxfPn5/nOBXiTxbF5UVTf1E2sVRvfva5Ywoyvw8/f3oj3qfV6hWd9rCks14VjsGCf69VX543C8WD5DiFQZ+YrFJv89miaDYsJwJhKP/6qlUQixLpqHOzkeukOJtV8eTx6Q35W9Zo2rKbTok1gl7Id130+/BaynY2nakMYplI22uvi8Y1acz7YrEq+r3xjdibXpc8YcfLYjKeF8MBsXQuCzqd1qQi/1Xx+OFVMZuaJmv3soFN/JTvj0e2tajzeEy8Vc4jnuEl6LoOn/mN58V4FHEsa8VXlXFZzjsaOebKciiK6SRisnhuOpNx8M+9ZUF8mJ85DXJT7AR1FP+rYjJx/CD80i7H4+DN8UHEei2XyN5loM/RiDgzxzXEfeXPtvEi76SJWDi+0w4W87K+3KN9mJbLGg2nhePd4J3SlsVshmxD76ui2xvk2DryLIvxOHQeadZFq4VNZt9TrIvh0GnCvqAnueUYNXhvt0NutjnqG/okfavVLRSzl+2ce8OhYxRDjtX05jn8X6kvyxBf6BiQZ6e05ZJ32lTkjfuTiW3dv5cFclIcSY49wd5oZ7aTkGVFp+uV5OhQJpdFaxuPxmUbW6+L6dR2HG1vPl84JhF7z3putwabNhb1nSkf8We2p6nsy3yYVsTuuK06X7R3p2u3u5t688Q68zPqfXFxcaNcfBUxluF3SNPtmob1vFIs63gyUWQVsuHqb/yr5fDsGf445L8qOh1oFDnmlvuriv9dFfjs8zNiZCPPWnygA9fLum638Hl891+/j9zIE3VyW1Nh2e/Fc/h3/W/2me7XzBM8jscRIwtNl9vvWT9h64P+sFgs3G7lJ3m+8V9RP/rL4HVd9Lp9ycq8+v5gQAws5bisxnW3WCxsq1GWMr2kf17S4bu/fWPDmCnireif1bUsivSJb/629Nf/i/8sffjLQB6uTg8yU0XZvJm9eJBsPOPTSy6eISvzM7sToICMoDnKQWu5oulZMN7kmdHwOnzUkrXoWFHN3ysHZfI2wqyRY2cyAOVm2Svzpa3mv4ncdIgn9KMcL2Mcgv2T4354A3X8V37r0qxdLDuybh78uR7m3EsA7DwJ3fW6A826+H3Ca+zehVPOFlrGLOmQL3gmLQsMjknxMw45jXOeSFctO3RU3oMH206WSYh3o2NmNEIOTEVzMnnU0Qem5nWCzCwELDPPeJI2lhIowztu0DH1yPAiWkriheydZlzlK9dnc2vzRfW0fZDGcrHMvJOPGR3Lgk9fTl8uvkmWmYHSBiN1fFIm1zvp+b7rTsyO40xcp3dO6EIHufJ6GqLjC38syTkORj+lC9uLeaYkZ6JtQMf0rUstu6qaG8JmbRPLwn3Tsx1CgyvzI963HbuXn0R6bIU/267p/1Y2RPby+YZY/hJ18E+3p1I/1AnbCVm73NCt62A5xPeb9Es+uU8aLu+i1RJs/q04LexRS6FleeRxmwr6QcOUfrN/q3xu9CV/4rgj50OO3n2Fd1KpXvXNZIMPfrr92DRL+bhO1d9VjsxryX+VXtB0/RyfhO6DFm2+XBamPbkeYR/vpFXm9dKoeb2Z7qY+zKvpBt9OX9oLv6P9wJt/l2Vle5c/jGfVT/jlintRv3w7f5T6ivpFHvJ9IRrcD35u0oy7opD9m7uFiOu6WXbosPSRVQrI0nbyTt2/SOfd+R3SeHdK+20uJQzrCxnib0dR0Pflc6wU3JvvlM8waByo19UxJH6XVzgd7pX3Iz9Q/b6yI+aUaHWq0GUggIM0OjLs2IlChwEU/AWP/ipeFLxscLiNYSttLmmzZR3eSk6DP/MftEvHwTKjkivWBj5dNnzylXz8aTpa/FWIVwria+iOdXCWJHzReUcem2b8lryynD0gIAe8EVDmk7VZ1+c3AcvwwfR51IX86CjKFa8VXel35l9UNMjBcQY/risgj46x4T5AoF4icjrukY7BUO7YJPdwRHzCg+l6IEwWpt6d1/zCgfOzrBF1sLhBF49yIBc8QhcdUD55yqa9tQUt0zNfGUsn68xmDs/IKOpjfVoWKIxvYX/1DMlQ8qYYEHWwyMeD2FJ2pPPAzdPq8O97BWueyFqxL+iytElS+cqFq3w/tx7tUBE1v1EVS6/GaIo8xM8w0KZ+xNlEHRjQcUGPmDJ/jxickWKczCcJWcIrt5dDe53jAs0h/7IEHWYuGeiIDC/JuL72I9YnObyd3vL3b/41xpj5osMKXCCnC6mE7O17qr4gynY7pL7rG3ATLMn6wG5oEYsnSHu1FwlRAxRifEKGcLVWnI2f89sXS0BlfWwz1g1540UhcgVwLjq3PWIpHrLjN6gTeah7bOU3DZanuFxPl0N639NH5XtJw8+xq5BbpPUZiTpPT/7WA+hel9hPynYZxNCZe7dh2gexbPBtOaf06OEztz1ZlH0Yy1YhFz6fPn1qGxVDKTUbAR8TdagpPo12hp0hO0ILOPon6uA2jZ3TRlkiq6Wz5+B6uc3C8/VVXzKiTMuxrHvws7mPreXDoC1vt63hIOJfKTmWipGHw16QB+fThY7QyenphZbR0DrlcGSObEu6tD5YAgweoHt9BTZVqIbD2okhtD+T36+t0z/61C/lZWCJoZShf77r/5Ze9V0v+p++wFL4VtI/PcWbFKAv40pF2t3eVccWKT79G2/okEKMhzQcqnj6nPOB7JD5fPzoeW5sNjbALUnLFbwbSI1G43iBh29daucfyXB0neZca7xy5LkzIfaH9OHOup2p1oPjzZxgyiePz0iyuRrXrU2ZavT9gR5ndpSOYw+CL+KILs5pjHYANA5oXF12804sTqifCofJnaw73EcPzxU3REuAf+IVxgT7ypnYOXC8BZdkUXOgIoGpwXCvW8qJe8SmAOJWujxOKueke5yuHSqxFQaDw5FtKcbi2ROCGSnJzo0jNCxXN+AZGDiZD3jhj3gQ07TziA7UTpPDd9ep3zVOCffATyrBIuEnpX43Bzcz+NBp7MQO6ZGcCDMvvQ7BjdSIDmOtQ5HNg+ukoOk1yOLmi3QEDCu9BmMEbI5SsWLQaF4ZeJ2f4oixSdN59qSVJhHIzo6xCXrKO+RUdwKFccoe6NBZhNOSfnKa6LSjTbhTzzrUYIEKui1QNuCEPifOvDBYRT+2A5RSS48fXmzwXRjkDAezG8Gm5HEQOAMddxIcAgpfwQd1HgzAzpEYFLR9fRGAsW4Az5+2PZuXO0GCkRcLXkbMB/brjnGZj8LhsFGCUK1PYjJUXgzMpMp62tnxLkt3cJw/yG/n4ZNOkxgmzRzVXgS2dNkEcLsunsXghPpdIWxTCGkKHf0SdstvztNEfnExQ0tdPNtrnXTVoTkN/LUabnOimpHejb8VAwFit7Bbl0t7x65D1twFoX842Biy+CYmKeyENMxsiwKzyxp1rOWbPNtc6LiL4cDB4M7noGjaMsmpJ/LotB0PRD25T8wWJuD2jBQInObcwdIGqbPlQp66fDJlqBybQtI5ffEyUqwVUxo0KJfYGQa+zrfWLlniuUIXpOEAXsoP2pzWIIwxyS7vVN3MKps/H8EidkUq2pN4y4Hft0/u6DxT33PQeVHsKHYM/V5dtBRQTuA49YRPn+jgbpx88CpbIUWtJhnIjHLbhAMdEpxZgRL9luti+W4GiTYGpfQmIW90oQLEozkP8k3p5PhWiUeno232FBdFZtJhmxykzve4kInetXNfl9a8iGWfjIRX24rzog0Fnepn0Hk3P7+oB0zvhqAwOlTMbo4NBhid+HyROxYbJh2rZzhIbadJAClXGAm0uEQzGw4OxvfZUcFp6hxe6M6BzoDtngRCKk/ekhygaIwKuI+ziTcwGhaBltqVkqdT8eGceRZXDCg4Jc9vJ+aTAROXIfnZEWYn5i2rOMyY6SK9l0FGIxBrfal669xpupUKwGwDChgJ+ZQoXC6BqebfPFqOIScSAkZIA+W58xDwmIno03m45+fIwXLyb9ISwGmYAN+zI3Q5G1qaAqYcv3FaNzCceWOnnLZnwRcBrQGUGPwA2hZ7KcwvZRLYad48E8Lg2Zd5IdgdPYWtsPUdPfooFFJCnz/4ha47EusZGrZT8xt1dmcEIje6YfKJoE51PCEngfnZSSlv7rSqvE3GDEiQh8vnWcWclJTA1+CdG8glBrTiTU7Rb8shB4K6y2NmzFs5+DQHrh/leTaxRAd2W6JinnXw753trbRc35wVqGdE8iIB/Eeg6lK7x6ivt1Mzi0N+yrDOijVO2gMl14cdpJZr+Hw2WnBRb2gBurnJr/MDqTT6cqeCj4j6RD52bVlO2Z4IliawOA/ySVf9TTnINvLzqRk07DXrVPe8ZXSTLg551g3RZmAcAwHKZqcYOiSF7Ws6C73bvjy+D9tyvat2AG/8+cpTeQolMD3RzTvlnM60tFysr/4ND3qe5Q096mzQSegHD5Z7LtBwERUbjfslX/HyEbLCd5IqaBLgzrFcnuXg/mJlKAzLhXQhf7c/5aU95pdr2mjZF+R6INGqoDhnlIO2qUZeTsOGAAb1C4U5Xy6RP8JgB1/SaQ7IYCNiwTS4TVn3LPHbNky3LD/aHJSxt2irvKgwACxlupFaHoDXdKj4xkblg33PKamEgTpLX2X/UNqC+4TdPR91Vn15Lvn0DDSzn9E3oPO9yktI6LGkG7y+e59f9NkfupEAACAASURBVDFM/yxFZaOqJfrmf/Ubvzn9+N/4ZPrY645hQqtsEzXGkJ0EbzyceaarACl7ng6P9iq2SOu088Dow2idgcZrLJNYU2cZYTGvJU1u6bwnDA/D4nwynDmGz44C4+LIEHFIwjGZpoPD8tDLfn+Q4oR0yuMtQud/5QYLPyB7s3PMvAERwI4Vd/4MVijPu/1ubzoBdn1Vl9TYEbO1bcdiOsAVsLtjT116uLqyAdPpeOCnRr+JTypnEVS/bWZAyEUn5AbIb71V52l800S+vrRLj51N8odeomPHT7yJM3AQlo7bvOh7d1XMtvCWE6DbdpD4YwYyzPyELnEmHLPg8uHNTssxbWWNgy99qsywBzs28nk+T/43r9/TiRErRQfkutlhIAnKiXgtqOaK5IJIxyAn9BnlRwfu5zlPjVlAD4IRGP8xuNDgjG3lGhSU/NIpMOPgulJOHrhkWUtTugeP1p04lDj0T+6ozHfwCN3oW8ynbUmDlWwb4jvHSLkNRR1sG6qn4vmwWTrHVdIB3JvBYE5PwixX3/EAxw6bcn25A/d3yyX4zwkyDdchy0hyyM8rH6GToMYn7Uo2rZtlRqe1LfDInXbogM8sG+mdjoZ7IQMPXjzILevC85C1P1+oi5aAdjZLmJZ7RV4WjtnXv9DDLj0oNM2wX1iEH/TgLl0dJH5LYY9Bl6U6/AxpuBf3KSCP9IO+5BXHGvE8twHxxeBipRkZ8wQf9hViVQMPXh5K+pZp+BoRz3gg1oPbYykz8xZ0bdtqJ7nNwEb0G5Qp28nV0Efmx3nsU5nNv1lvy7TsH+BXuS0PvTiZP+rp2LecIma29Nhp/ASeXW+11Szt7BzV1nmxoExkxhXlux1ypyyzfHnintt+2U5KmZf2TjqUjj3kF29+x+BY5WEHtNewcTl88y2WTDf4i3q9m59l7/JulvrFUpam8G1oH/nQh9J//bd+Jp+Pw4i/0OnNNChfa23Jl+ND3zo5fcctJqew2WMhDHRobEVqNlt+SsdWr6d1zUaDI8CwmY2kBL+h2DC3t3OHlgPi+A0/GPiaGChiMjQDA2k7oZNjDt+Nhpe0vT8GDpSAsetEbuzZXiTt7kcHigw426ibjo/v2CmJFIe9Hsig1RhrtVTPhxqrZNFZJ79ZGNhRBanG1AWHAV3j2ehZiFMNyKLRwa8CGIzOwAMs184zG2qYG2eLfFO6dZwP282dOW+y/BcDnfoWU8yBPcWbF8sqMWvA74gXcknIZaJjT/gNHf7CwVj+NzuoGP6E3Pn095rOMjRd7rENGowjz4BZH3pbzTEM6mjUaZDfW8G9fRdjy44IjiQ/lwMvV1ecP0Udc2eq8pXIes7pZTsZOI98tgHXj2o6B/xy+WiRbCaZdsxORDm2I7cP7pV1Er+ZUnyYVgyWXCcN0jcJMi+xFJKB7uw8PbhD6RG35oBzeFqls2c9t4LMMIN666EchAJ9QJ2j43L9/RuZxvKcn7vtsqzCtV4zQ7cShMPGJlRjMKLyEhWDNi2J+nek0zZ1zjXM9QQ7zG3XbY88LFOEfGLQHDZsPmkPtA2qhZyQX7RjdzKNK2aCQw98eoBjPjwoAYKixFBjxo8ZD1+UwwsUtqF76pg5I5EZDrc3vI+X1sN+zAcvguJTlWSwRNuHbnQ/HjBYtm6HnXbIifRg/gBWQHrk4vav2ZaIY4w4noLBHsRDovkzv1SVy/LMBK20hFXKqtCSI/nNHy+NXjqHf3fktc3yuWXHEvxQYROyloxlxlZ+eNBgIxGzREwP1cAOwFki/IHf2C5yTxlfy/xSx4szYyqFjpg0ZFnLCmAJ1Wf5UdvQCS/pqrvI5HYh6pSF7PgTp8rEsqx16hd2knrZFQK2c+Oc0a9QH+gwU+q4UdlUbaXlUdoDdgo9YHcoIF6ooAt8APYpmRTLBKyG09h++N5XuIZqo/Kvrptq06abdZnr8zI+wmJfRtm/48sMtbHB6K/+0PenT/3iL6cf+JEfTVriqNcELCaEUjmirfTLv/SGDMaNzYF9NDI6abuqLG45Nc8M3L93X0aFO5iNirSaMGhCNLxx1VK74Zx2rGAu1dN4GO6AN61aujoHUM8dPYOg+Yx4EdbzueoCiXvrzZuI6Y1rx/MEJd74nj65zD2uZ32ePmrI+cTAhtO/Hz58KJwkWKRT+sVfeFNvkHLoRUrPnjSEP0RD0iCmIPbJoIBydnrLoeHhsHCOy3Tv/h07VM2W2JnHGyJ0u51RWkx5K6Gx43xr6VwHqsolSebIhIOB4YpyWOJ79Pa1JODGxu/LLCccQS1dX/XSagndsmF32kM5RufZMgDckA6Rsmtpb6+eugLr84wSzn82rXY+9aQZ7uQzyxh04SQ6LQ7jpG7YAL+Jl0F/dmT7e4caFOMEkYuWQ1kSKvY0cCPuBkwcXuZHQ6bAt1Lzeuo3c4KZV/XUaa4Ebgd9iiV26ez0XPhcvMVCt9Oa5nPU6onVVMob9FapXqOjgc5WajZGiVUhpCnwVR3i25VewR8a9Ffp/MIxMdjjZFikh59vKE6r1wb3ifiSUWo3ZmkxK9Jy7npS9nzGmXjoapnazbFkwyzqdEzcykh1wPZHgyIN+8QWwcU6Na5Gwnwa9umgOfeQGCF3xOq0C+JrlmnQXaXri6k65dGQ8+sYtEAD/RlQs9tepV7Hg5C338ImUmpd05GBwwX9uoLAh30P94YDDlddpudPhrKVXmeVup1xujyduuNL+6nVnEofDExI/+lfe5bG4yI1Lpay315nmq6pQ5fOBGDBvoJ6nz5upkEPYMmRaA5HvUQdmw3HXV1eNtPzZw3ZwLOn5+nXfvWhYiPxKRfnrfT44bniCDW4r9UV23d21k7n57TdIp2dXgq3i3MV6SwvzjsKFkbH1AGZcEj104fddHbWVFtuXqPbLcWceaBTl/1yDl7EyF1fdtJ8up0evuXDhDm4lx2+tDvi5piZRU7Y/tkz9L5O7cZcOmtcEic0Fzhlv7NKretZmoxoBym1m/N0fTlM52dXiqEaDlbp6eNe6rbWqdtZpKvLXmo2PPi7vOjKRs+eN9LzZ60kwNJUpOfPLuWbnz65Vl3h4dnjq3R5PlB7xn4uLzrp4Vu97BPwfVep256mne2D9PiRY3qQL7hVp8+v5fOePHSM6sXFpRoH/g/Qx/2DQx16y6r7k0dnwl1qNv0SSJze1WU7HR7cS2dnFzpcHT/b607T0yen8t2Ud3XZT8M+9y41Q3Zx3lCMIruo0WWz0Uqf/szj1OpM0+VZJ108b6TTs0ba5RSFlNLVVTudPr3KcZz19PDzp+ntzz/KZ30SmP5cbYJA8jc+/ZbaEPXBpv73f/hL+n36vCE8KFYRYiB/ddlQHOrZaTet1/X0a7/8VO2l0zIQKm0wrbcScVy8/KNDYmz39vfSL/6jX5LNnZ9eyQ5YjcCu8KNnp01h2xEc3m3N0mc/8yzNJvjFUWo1J+ozaP/r+XHyEXgeVKrwl/jP1vd93/d930ss/3d00Sjfg58iHR7spa/9ut+X/quf+Mn05PGFOoe7dw8F6nX67FwxNryhvfra/fT220/19tJodNMrD+6nJ0+eJw7+xbKJ5wHkj1H8aDxNF+fX6eT2iQAmWeq5uGqn3d26QOwIqtZJ2LNJOjw8TNdXXaHxdrsdgWBenF8KiHA8GWkqkyU1nB5gZByuS0Dg2dmlAMMoc29vW6ddtwDU29pJrWZTHSs88PYIqCYzWeenDe3M0UAgzTT7wWnbk1FGKdbMRSONJ1MBtm3v1tMpgJ7FIoEEPhgCfFlPrVY3oxjTpNkV0VL9cYYMvp4/vUzXjWZazJDLMg0GPTV4nCnI0YdH2+n5syu9zXR7Ax01A68ga0/GBNTupavLi9RqDdNwOEzN6246uX2Qnjw+T/fu3k7Pn52lk5OTdH1thwfKMeChBDUD6HkCaNpklA4ODDKKs2fXzOEBIJs4DQc3MjMFKvBkOtfgaDIep5M7h7rH2/9oONLSLEHLvLEBkFmrrbQkS8A673McQLyzuyvgSoAmry7a6fbdA3Wm8/kstdtD2QydHLtHALskL0B9DG6JN2leE+R5kHDG6DcO+UXuAOMRY3Z50U6vvOc4XZy3hQI8GszTzu6WBu28AVKndVFPuzsg0/fS0ZGBH09uH6ozYVBHGpYqAZJccgA2ga4TwC/XqZcDYon/ghd2yzAQA1Ty1vFumi8m2oEFCCNB0Ns7vMVzcDVBuD3NSBKTR7yPgqJ3vERCHA40itoqHd3aVt32Dxx4zLIwOtjaAvBxrmNZGBCSB3BQTrJndtQzMWxGmKfDWwwGawoybrcH6d69wzQaMkglVmeuZeOdnZ10eLivQO9Bb5GOb2+npQZXDBRraf+AQapjF1kmvHv3KKU6sTQp7e4Qa7hOxye7adgHwoOA76VslJni27dvi9fd3Z10crIvFOPVapF292qqHwNigBGR7/0H+wr01tBwxYGj9XTr1lECYPDevbvS9V0ds7SV3v+BV7Xkjl86uX2c6vUd+Yj5Yib97+3uq/2D7A145t7uQarXGTSuNXt6cJj53ScYfZ626jsCbr3/ylFaLbbSzk6R9g/3xTvI65RDfTgah5hMNqvtHWylem1fsTXbW7sJPdUUCmB93L59SzbBki2DE+zv4NCD+L29rbRaLwUkqsNaRT+pzj4aqp5Obu9q5ur+KwBX1tP9V26l0Wiko4wAm2TGGntgA8DRrV0NdB+853YCfBZw0ePjY9vsbKo6A6Z4fHwicF/a4fExu3230mvvO1G7BLQT/7pOq3R50RSgJbM+B/uHAqvkxYbQCkIY2MiAbbO7udFspdu376ThiLAEgGYXLmd7SyCctN2t7bpsczAYpPe+74EOqD08OkqD3ih96MPvTbeOaYuAUs4U/vDe1x4kwDVffe0V2emrr91TXCt+CyDKV165ne7fO1ZdWIoDtPXO7SP5lrv3TgSaDIjr/fu35UOwJWaIjk9uqa1yrBNAkoAbE9bB0Vu12jLt7R2ko0MGX2vtnOPlabGYKZSC9VMGjhzK+2Ufeo9AROGXfoa4K4BH53OHgGhygGD6+UJt4PBoX+EKBi3dEijpxcV1Oj6+peW5O/dO0mo5T+/7wAP5MMCX79470GaJnZ16Oru4Sg9eIQTEr+gMGPz9JQ0dXhL+0xdVsQHWxWez1Sm+/Tv+w+L3//5vKH727/4vGThwWVxfN4pnT683oGiAgz1+9Ey/A3CreQM80sBiV5c+4BbQP4Dj3nrzzCCOGbCs2egWo2GAwxnEzEB8BhCjnOurQQYbNODXZLIonj+7kozhGdqdTgCamcZkMtahuQYx8z2BhlWAxZ4/A+wuQPHWRbPRKc7PXEeA0LqdQXFxBnhfCYL35DHAb6ZHXsrtdatAlKuinQE8A3Tx4uLah7vmw4QNUmnAPWgBcHh12dABvAHEd37RMIheBkcD+PLyAoBCy5XPp0/OSn2sAJhr5Do7zWgAoB68hixXxXhk8D7A17igaz4NHNfvzop2KwDY1gXAleNRAD0aAG4gkMoAX1wJuHIyNlhf8Hd9GcB8gPUti+urbrGYh9wAi5sWywwEF3kEkFnRT687yHKDV9ej2wlgOx/E++u/+lYxHk1gTPXsdMbFLA6NRXbLVdHtoJ8Ae1wVAFlaJq4PYIWAC/qeZWWAPORowLkAGvShquuCA6HJI74ERlgUw3yQdORRuRVwu15vUCw25Zjf2TSXocOCM8DhRl9LHY5soE3zhT5Gw9CnaVxeABYZ91YCSZzng5oLHeK6KIZ96hcy4IDlWbECpFG8rwSwGUCLYYMArHKFfYzHYU/wvNAB3RwSzUX5AFJWwTwB9pvPZxkU0fyh95C1ZbkqpgKUdF2gVQW2hWeA/aKMkK15crncazWj/dtWAPhccaByxZ6mE8sg2i82G76LdACwloCfzotvctnIDppZzlluyKrUKc/K9hTlGJhQVDZ62gB6ZiBLQGYNcmoa0HkRbBR60W6jzdC6Nt9VNr+j3lVQUN/3geO5DmvagnXqOpKmKHq9ALe1vcQh5fAkea3Ih88OXgPkNMpeZIBcnqMj8xOHqPtg4XXRagJuSZrcBlarLEunp12OM/BpAGvesC/RjTLtZ4Kn8BcTADc38nC9DWBKPpeL7J0PGvZ1fYE2l7yVgKzIYFUMAaB8ofxuF7+Jjmi3qwIfEm0n+HFf50OMSXt13ZGPDVoytpf4z+8Gff//DFSZktYKmdbAPcqdL9bpf/25n0//8fd/X/qRH/zL6ev/lT+kN6GYjfL0v5fSqiPidWGMJd66bl5MN3q5jtL4xtumYp2qODzKxnovUG9eZ2cWrLy8/Be3vNTEU94UmQp9J0881bR7SUQjeK89O8boZppquZQEU5sSK9955OUok36xzl5Hp7bILZar4JkgamYCzFfwTLmOx3B5Ue6LdKMiyJRgaeuvlBOvtI4T872og/PBRywHBqXyk7Tw4+W4Uo9Za9gI0y02hIossm5FOwevSxdQdvyIYxs4wy+073p7GZLvlG06+i6hkT/kEzrING/oJcqBDPIij9/UqvhHTJVvWFcK/qE+EesT5cdDl1namYNuCep8x6WAW8oO2ZGC5S8H+5YB8tAMnfq7l7W9TFyVw017gF7Igu8hR77bbkh/Mw0yCDtzWY6vyLYGfznQXlQ2abPscoBs2X5Yaoaet18bhNYyIn9cL/Jd1i9S8Akt+L1p885brSf0+QvdxG/qYBmYP8c5cssmGjJ2mTd4qtqWMLVYcg76lO1dZvggl20b5rfaFCxk8iXdm3XLpW7qaR7xBbG8HXWs8mnCkguuJfsdlavvIX9ohPzMb7X0d34PhvkkeJ6lxKhvWWap5wqFjY9D3ua91BHpzH95z7aFjyOOsVpOaYumT/1KGYeoX5AHPyubIUrfGfKDf18l/ahvvo/esiwjLZ+l7qhXgOyGPVJwlOG0XhauUsj0bXq5AvE86lGVb0kvUhX4b2JUcnLpPh6+hM+wipdQ9O/sImkcbiC4MxtMjaDqdZH+/j/4ufSjn/xk+shHPpQ+8KHynLrnzy/kMDBaLjCWopHpc9MZ2oiDfjh3Dpkt3YAHG4qByR2ciBbEV5COgZNaSxr0AxeIxl5XXApBxDgvO7FaYhp0Y3WZN+gFf3xn2tsdJvyxpOagw6ADUBoYSeXFWjQxIGH81DnwXuTR1JiZsn3nBWfOZ3GVNMqGSq66sUUs0syfAQCr5VIPD4DIk/lvdvU15MyZfrq0yw5coxJTxg8IsI1gUzsBghtvXluasq6WzRKfhn/ZiUd9NAjIjpydfvy2fonzQYf5whmx9T3r03fdNM07sqEzCRnhgeIQTe65vpxryFlYvrhXS8+fhd5tTyyhWU7kw1F6dyR5DO3gIONMxLottjYYK3EffC3LwA6U5WAu73ZiKQu4hZAdAy4OjaY0y5VPUCwMD+G6Mm3PMqTqo6qyhdsvAa46sVumITmqIiyZxT12jBKgHW7N8up2CLAlDQ2insbjpdKJGUmAw0udNmyI5VXiuXxxOLK3docO0Mt44kDxnEgxIqEv0hE07fZLCgMAAnrolwPnYnlHLSHrdjQab/LAC/R86K/Tq1yCZzPf3PVhvOY/dMISrQZuOcD3/LQl7XhQbHnp3C/JxS8sHEis/Hq8Tr0u7cO+j3K0bKo0pKI8llGJ77Nt8Q6g+gcrPAmBmn21E5YHywsdU2DI3wHFrjP3KH+l5Rq/zGBveOTyMOTo7H0Wn+uG/PsKg8AWfI8gb2M1lYMBwhqibD6J6wp/hUomY5alc9C6mC6ECWWaavCp0WjrPLuoKsHoxnMrBcGSXJSDTK4uW5ktZIGOR6ojRdjGivTkETFT5p28b711qjAAy66Wmk3OEQQqgws5Fen8Ig6e9l376+DD9wiVMF3ASRfp6VPwAstywNujPOuO+yzPE4MZaYhT4iDdoIvf72vp2LwROD5K16Jj24K+7Y36mU7g8Yn7jIFH/4HcSUPc2xu/QXhLaS9VHqKsd/MzPMu7WeYXTVl+Y6h5ooRgwqtG+vP/0fem//Kv/8307X/qT6cf/eRfSx97/QPqzK4brTQVoBlvEFQRg+5UOjkAw9gpgcj9lkHD0KBE6QkSrqXPv0UHZyOFSrfrgEnloaNf1xLgdqbhcoj98Cncdi4E7F1fOxgzOnICNv1GYOPzrjvyl41Av+SkYYiAWePzRCrKjV0VPMdRu4MzH+TqtBhQ8Y2/utbNPcAjja922ztGnCYpGDK+0yCaTXiPy4B/142GYjc8E0OQoxu1+TdgG4GRcjZSQH3TYIMfdsjEd2QRgyHry+UZ68Xf4aX6m7LoRIhncrnsFktpvbRTdkPfLk83144iABkBFsXp5oZfwBu8lBdAo3YGHkiBoGz/ZP1QLwa01Ws68S6TkF2t2M6AmHY45L887+ZYJ3ZLF2kSCNZsv9YLwNq7V7LzoxziDzY0NWPCYCoGD8xQEKtSOjHSGswTJwuH6IPt3bYjntNRc4ionioNQfcdHQbtew58DsyhpF2k1DnvpNFLA7FgMaAN2sibOCu7MoKNCdy3rVt2l1fd3A5pP+iUlw7yc7kt9nsxgPVsCQGnBLj7ObFsxKLdvOYZt0w2x/BBuwydhplTBt/eXefZDgZQ0POf0xGnyG/rngD8cR5Emi/kWQ4o4CAQuKP+3PKMXvBBu4tBJPf4r99b5GKh4QOGRdcKU1sdj9Epf9Bm8whJPZvtPIYI0aytxMcANtLr7UxtCpIlL9iLbYX2Ac7OZFzqCynMF+FnLG/K9u67LMv6Vppqh14pp7LNIlvSeYekc/jfej5rKJ5DN2RveWProXc6doM6il/tZF6n5bo68FdBip+Ejm2Og4pnwvaKsnnxEJ5Q3ECqFkGWL7xSV15woRmI765/2AIvUHyXDiU72iDlUl0gT9ZpnTf5Wt5sHYrLvFKnjYrJXUvJfYHTgUlm/Ti95AhO08aWaYNj1dE5zCPxttULX8oLW1zQLfsY19EvHfYFUZr1YR0CUFmsYyMMnDBjb1uyDm/aVZT1bn6W8n03S/0iKUuGy7RpPaXLZi/9u//ed6XPvvHr6af+1o+lV997J71y/342epCah+mjH/moG2QeQdsQMTBfoIFzhTPhk3tehMOQt1KjGTvTnG82HaciL2PwXkW/YOPB5ByQC05TfcvYQWoQe1tpf/9IToTyCFi9fx84gNJMb9063jjp4CfQaD0oIS1v0M5Dmn6/l97z6gMtq/CbDvwjH33/pj4s3QB258vOCWTdO3eN2xTlNBrXVVZSL8slZ8wDy/hV0w6MTqetPOaHztdHC+C0+OM0+/4gz+ghOrVrBgWWN7qs51mGEIODQ6MJWN5HhwRBurPiE3DF8qolBnsnJ5YtORgEbO0gI5ZiSFl2Dn7zRU4TBcviSEUboDcdAWDK3Gu3W3lmAX5AHPebVnT88O+31NJ+OIWdi/xc4F/Fd8qmvAcPjhSkqnLrRdrZM2p22JwCc8Fg0nInzrVQwHHICF5wfNuOyFU6gstv34njbFR0Go5uDgAXC4LcvdNTOqJT0PZ784qjbLevEpARlEX5k8kolccP5aXLvB3f9XQgquqiPJ51q9VjBsDYUB7QIkfb4L37oFF7+zZ5OYbGR9GYF+q8vcMMIL9tBwRz7xhgWHcIDOZxzHLAz92NDJxnnYEHoQNNELsJeKau2AZBtgStlxeo0HQWYYMpcVYjAfHmxW2X9q3fecnn4IBAZ0lE9/f2wR6Jrfzcp+yMdZN7yw9+CF+FbapBqB57ewSqWwa8HO4d8N32B5XDjOMWdsxy6tHh7eyvnLZWj8GObYd8MVNZ1iHqk+WyG8ug1CsJ3BY+nL6QnO7ir+BWIRE1BUQzaI9641uPbtE2LVvqdXR0qOdRLr9NA17dHoyMrdv65969OJrKvBBcz44vmwEzK+N0sL+/4U3laanWA0H4+eAH36c2E1QLNknMFvkVxHf9smyytL39fesn2uHde7fTSMfMWNfU4SMffV/eSWv7+uiXv9/YZ9S6Xkv3H9yRrFExf9jRgwd3VSD5+bPvlZPI/qWWTk5ou8iEjRRb6SMf/VCwrjw7O9vGp8vyZ+bXdMLHMZBxmwtZszmBM1GjXDblqM9R0dY/ts/GCOmwxiqBZ/ht/7W0v0dAOjtnYQffy3mOAanh+mAPL/P63RgmTWXaSK0KT7NaKdyppV/8lU+n7//BH07bq5T+8//kh9KHP/x+Te2zc4mdNpGWHWnvf/977ZQAthyzuw0gSEbN0MJh2VDD0JRXBRdppenzetoSZo4dF7tp7NxzKcL5WKetbeJdzB9vY/sHnNxKGtbfHbvDGwq3eFlgKppGaR68U4jBQBlzwxETfe9ecFGJJSztZpAFw0/wTwKX/ejx4/TRj3w414vZirl2HmUSektg2lfGv3GK4irnMZ2Qh2dhaGB20xTDjAe7jXJLUj7e+MFMIh+y9e+InbGM2UrNbqPglVkbOgFoIyxmAHjbEg0KYtv5dKpdQ/DP/dlsmt/IgmeeRKfCPZYqDCSqH/xerIz6jGfIOsLBM/AIhw+/ws/KtMr6m4rrRSfOrCH3KNOXn+lmjhPjPg7Fs0i5ECXGAlhUtnEws2DbQWZgPrHTBvoMqmUt+cy36PQQim03eM9MSD65egzdF6vErhaXE2ks5/i10R/yZ3l68zjXxQasHYYC61QZ6NdxZeYj0vI2i81HPFq+T8wDWDOZuOODbA/sXDQODbqFq6DljgBZI1t0RQd+QwYSYTm4sQ4MRcALBm8yvJVzn8vPyaRfm3ZHHXhGKvMYeg1eSE8+dzLUPfJYx2EPpK/aoXVcpiV/LNubi3fKO/LDi3mNDjx4CNmrFpsBY8RD5rrlGLeoMx1g6Kr8bpn7frZVVbla70hjGZprnvPHvchnPWzK4GUlzlTUzGT4ASiYvttB/K7SL+/RDkq7iDRRtumYJ9JZdtK99EB6p5VeaVPIZ47geQAAIABJREFUS3dNKyiahu3AbTuo+lM2VKwVCmJLifsh12wfatsuIafY2E6ptzKeDvlZZqQuZem8jpe6WUs/iec22pu1iBTyPTcqU0mn9s4bDmu2lFsOcqvfg5alluUrr2S5xnPJJ368y59w9SV9ScfZEUgQ8hueWvyVX/5M+vY//efTd/0H353+rX/tj6Sf+e9+Mn34I+9T2338+GliJB4X6+fvf//73OmokWTTk93YqMv4EnIZQp+t1kxxh4PXsoUMik4Cu2YbeMSC2NjonDRXKSe3Kt8GcNgKojWgGaXI1Gop3buX39jEcKGBnhpPdvDww4yLL8wi4O/tSKHU65XHoPCcwcVHP/wRdwAahDB4YNYrDtc0ENyeBjvuAKA/0LEg7sgxfpbSgNVX51arp16XmaLsbRIzb9up3Q4QN3M4VvxRdKak2dkAv4XT87Ry1kOeKXFuN1i2J4fTtTyLPFhyndEJ27TDydCZtFsjbR/WOq20Bso3iopyjPot54uHKTylHW/y3KeuLEuUeYgxa2qg5cGcZ5h4Xg52fE6X7cS1IAarnDrnHmXNy1FMrRDkgs+Gcp2IqaE+clQKLGYLMPbF3DdZPdNipyQD3CzH8YyL/AwKQ3Z8lkuXyIGz5LzU5Do638Z+cqxWuw2gZDkzwhEsXD6awvKcjAMMj9+FYkpgVL8QZrEl+ATfK9J6yUxoxMx5k4UPOmVGwLM9rBw4nooe0rx5VchLdnSGLLU6vsrPkY07SYuXOkPHMiANf6UdcF++Jd/lObMOXp5Gi37uZVX44LfxnVjGQ/4g9mPLLDla7uaFGCxewmznACnS5rxkKr3m5U8WaMRZkdLFWUfs0X2uODNtVS5hWedbwsxSQfqH2RVjhckOi7VwwIAaAcbC9WbpFVBJlu3gn2Xuil3oHrPUpupPcMtIU5bEMr9Xc2iXDFiJkTGOnAZcyG5qO4l8lG+MMJUsfmaTPIjOwxRgMayTMg3tF134RYTl8ohjRFKuj+pETmbRhxMNoK17212vT3xo6LeuuE0fK2X/TGjFRCCODHDsa4j5c9u2Tts6K8/tEElMJmBUYf+2A14DToU1FzZVS5dn4wyO6oEddj4alDN82IPjzuDDXTv9CX1C6IuyHDtEOYQ7zDVrLrvhYY2lcc7tpFwu24niPTWg9P1YXicf18XFVT6jjt+snICX1XFcZtY1UBfBF3kIVWB531dNNrCJMxUIakpvvwkmluWaE77Ujy9ZHCaMBWWj2P39fRmG1rt0svc0/eAPfzJ98kd/LH3lxz+Yvud7/kL6pm/8Bg0GGBjRiACWWy7AFJklZi5wFATTcQghmEEEyTWuG+nevXvp6ZNnAnXjzZWyCAYH94KgRBwn9wiSGw6nqdeeCZ+HY1fo/LqteTo43BZeymg8SePhImF4xydgBXWFTQP+EMt54MuA28T5XOdnzXTv3rECRnd2d9Ln/vGTdPvO0aYDB9iS5TKmZDlChDX150+vhBsCxgyGC0gcMw/M8FxdNdPu7n66zIB4DFjAbnr48ELAiDR2OrxOZ5SGo6HwcZhixvkR5zSdjdL+3kFqdzrC7gD3pNfppfOzi7Szc5AODw50yCizcnSYnLXERSxWq8my5U66dXKgAEt017wepDt3jiXL7e0D4Y8sFoXQvVutjjBCHj58lh68cje1mu10dHiYnjw9zQPHtRo3nT7Og1knOm/wmN5661Ha291T7Aw4KudnbXUKyGE4GguD5+z0Op2cHKvzxuEQIAzeCDqczhap3RwmjmC5uDiXg6CcloBECcqepMODQ4EOgpPT7QyMeTVbpMOjQw00pEOdTUbc2VZipowByHq10hKhD8sEx2gpfBg6Bjq38ch4T7dO9tWJDnrTdHF5lu7eOZF+mWkEKE74SNtbio9joNls9NPxyX4aj3zOWr870SCcGQqwm3gxuDzvaMal1x0r5oTYqPv3T4wBNF8ITJB0vd4kzcCqGVsuzNJw7uL29q5wxI6PXUdsqtsdCBeLFwkGXNSbfGDDdDrgUjH1v9TS1vnZtWZKaUN7+8azgjeWYgGVZAmK+B8CRYnNOTisCyCSuKHhYJFObrOs4gD3Xmek2T7aReNqqKWd87N+un17N01GSy2jXZ1PE6fdQJcOdDQAgHKabh1zMO9CgymAQ8FVAouIjqpx3VfwPuU0G9O0WM7SsFcX+j2D0tkEOQ3T8fGRsKLwGYB1bm8daHA0m6Q0m4/SdMxgiOVFOnTa9CwdHR0I3LLfXcjngIEDPheDK5ZMDg/pFMGgmskPgBWF/YL3Q5rZpJ5u3d5N4/487e9upfGQGK1l2t0noJ8g+CJ1msaiovNmKRHQz909/CRxRwyq+ZyngwPH6VHPz71xmV59722BpBImuVgAQDpQ+2VmmbMxz5+P0q3jnbReEdC9Sheno3RwuCN7Aox1NmapcqXlSX7TSbcak3Rysptm82WajgEpnW1i4hiMbNVtv0dH23pRYiy/KpbCw8IuiHli5tfLlYU2Q6DbWh1ss30FZfObg5tPbh9o4LRa1lP7ep72D0H839ELInLhBWdXtj2QvTWu27Jb6k97Bu8L/4D9E5pBm2pcdRLYZmCN0XYBNN3Z8YBwOpkK6BRcM2TN0vrW9m5qys8ltfHxYJKal8N0fOdAZSBL/AyDUgYZvDTjV5khZwWCWLjZfK73vr19QJVPJW9m0WU7vZ78LwMdfBb3OC6Lvgx54c9Y8qftsGEgTkngYGdeJiiTFQmAi+nT8Mvk4UxM2iA+jthZ6BI+wSC60WzK/4IVhb1eXlwKv4qXJPo+wHxpY7R9MPNu3TKOFOcewje8EPx//8HJjUFSDNJu3Hy3frxESIOXWnTgOoCFoj8wOjLmxy/8P/9v8XV/+OuLn/4f/16xXi3195k3Pr/BlVit1sVn//Gj4voK3B/nb7e7xec++9YmDfcfPzYOk8sCC6WbcSeoOjg566KK+wGez1tvPsk0wLhYFU8eXQLUoXur1VI4KJdnzQ3PYF6cPmuKFigZXNPponj0tjGUoAFex9lZYBIZn6fZhPcSA4R01CHwMOC55MV0ry5bRSNjSVFur9cvPvPG2xssDfJ8/q1HJWbHel00m+2i3erfkMvNstfCWFoKE8b17HTAzYE548hQDnhVkppksSoePzo1zRU4OGvhpTSuWxkHBTpF8Wu/+samXPA+Tp9fbuqMLPt9+LKc/bkujBWScU/Wq2I4HKl+lgu8djMOExgsqwLsnW6nXxg7xbgkZ2eU47pAt9vtF73uEESYzf0nj9FPyB9ZPy7Axgl+zAc4QNxD/uBe9VTXwC65vgIDq6S5WhYVvJ21MJp+DRymMTgqTte47sgeoj5g2wSGUsgA3Cunp2zj9QiLZYNpsyxaYFGJt4VssdU0xorzrVTfybiK8bIuGg3r1WmK4umTy2I+B9cly+30KuOJRZ2KAqyj4J3PbjfwhMo06Mg0FpLh44eBh0aaVfH5z13p03VGZ/NiNARzyM/5HPQzXlLGhaI+4B+hY54bGwk9oBOXPeiBeWU7II3xksKe1kW/N8q4RU4zHMwK4z+ZJmo1lpPrDw30M5subrT5oXDYyjTNa/B5ov7g9QxutFvoDofT3F6Me/TWZy2DwNYBg6nVjHZpfiYTY+wEbdsNz/wcP2mcskhXFL1uYE85jXDLAotJ+W7id2G72FfoAl7xV5sy1qtiPlsUzUZPdhV22m5jX24LtHfoDAbgYFGu74P9Q7s2LT+v0l2tFkWnHfhApIP/m/Y0Gk6LQQUfCL0bh6iUt20SvCH7J/oB4x+9E2PKslwVtM3gi3uddjdjfEF3WbSaLftw6dW2+eZn6Qv8fbVcFmdnTzc2i1zwK+EL4rPbzT5cdrwqWq3wEYGpxb1oh+b30SPohhwXRafTy3WDN+6DqxTtsPwdZcJLo9HIvjPktCouLqo25/ul3qFTZFw841eNhuOMQegywEJ78rCxsXUx9ZL/+RKOYfKUqqYi82zTZpC6Tumv/82fTP/bz/2f6Wf/7k9p/vOzn34zfeVXf1zz8eThjzdg3gRNw7n57mlVpniZJo/nfPIrYi485evYlsjj6UzScZ9gVmZW4tIholAULoV58FQr3ynPbzBsHWe2530feGUTUF4UTNtXlqC0hk165lkh6nnTmDI1XUjmmCjF5qT08NHb6eMf/3LVSzEULFVkBkte/Ja4WYbKx6SU69eeEg9+LT/LCQmVFMuaOy0yY2o+J1GMFgwwxR/Ttq4TNJm9eu/7HFNmvVSXUEif18k11UxZZV4vP0XNgg/r7Pmz0/TBL2N3ZD4XKy9sx3KBTEBZQg4uJ8pDDswsaoqeWB4thXlqOpZWXD5Ewn6kJE2ZO86E38gi39/oE9lyz/ebrV66r+VYKukYgiibXXV892VavCmHrH3fwg4daSmyqKV2s5fuv3KHCXsti8lmi6XiooQTpiWmzJtspCprl1mmUxPT7Kd5K+tkc4C3vOwDd3oMUcsXO9TSpezByuTIHY4wos7MjhweMltHeisLW7Wesi4kL9tWyE+yEav84/Zl/bCwtU7T8coHWPN0Td2RZ1X+WbTZptGp4qjStpY8mLnw0gc8OR8hOPPFKs/sYI9earMdlLz7nC/H8JX6K30Oy3FeQLK82MrPLLS3a2nLlWYrgkNss/RNIdcsa2Sm+ErfRwaSN5k39kdalqAsd8sXRSlRuJf8mw/aX/ls0z6xd7VDP0N/Ohcwlx926LKyz5NPtSOSaWzgW6xy4R1lLyUfJZ9mv8pvZkGjvZs+usibIxSIZNsNHYhG5h854I9v9gPO73ZkHisVL3Utn4VMkRvUqWuWS/YRCMl6VOfhZq12b3mHD0CW9j/QC7lbzrZd7N16K2P8LGP8CXhHoSTLFn/kZV+WYDk6SRzSL4l8hFi4PMsEnuxDSWsXRGLyEPfGLKVt1m0hYrKq+Swp10fa1I2wDz99ef9+yQ2YUGxV+FVFo4b4zTLbd/+570mzxSz9yF/9gfTagzuJ3Q+RpkpDxmFTr3RA71Sqy+Z+aQilcWN48SwcX25slUGLjd8O1nlLWlUj23SKOruHItUif5OyXW/qZBqZFTn6cITw92JjzDwrE+nwx+6IoFUObJwuZMZ9P8/5o7j4dIJcXshk81CddMRqxV0+q/KFPgHN8OxOqZpSqV2bCMB9gZUX+bNcSIROkL9tobwfeiBNdrCSOd9dXuR58bflEjERyIbvQb905s4XzicYDn6QOw7InT4B3ZGiLI9v5tP1K/M6TdQh9JPv5pi6yGs7iHqRBttyhyV5K31Jy+n5bXuuyrb8Lot9h67K5+bF/7pmlj1044rAVQwMnuAx6kiaXL66IGg4bymLoBNpo460i+gIqmlCTiHp+HT6SGmfkssTgGcZ+xhpSrlxxz5K5lsmkH1riXPGURaOxyINS24sy4TNkIUlrm2OJlEV+YfykYuD7eGJGK1tHTZd8u3iMq/6Ed/RD/K1TL6QPNz+qvoI+VjuZVXK+pV0SvsNvZCe57w88kf4QFxxn40Ulq+XdqppWKosN+VQ+xigwqN1RBhDNQ10OXB3d58BtkUWL7XBK0tPLgc6rpvrToab9TeRF/8lBpCdmfBgebJ8yHFE+vUOW7MOOBrl7l0vT2H7LP+z/OcSnYbNJNwLmXBs063jI/kFD1rWWoord8qlxBLjK+9h9zN1QY4sB/tlPzh3naM9xMYW7Lj6khG2AkfA0kzS0S0OQC/1HfRki+LceZCtj+9xXtL5Jbh8XuZ9ed9KCbw8Hn5HlYziuIix+YG/8hfT3s52+o5v/870K7/6xoZP0hBHIiCu3C2xTn16dp7bC0pOxmHKuWQQswAZwxEgepflJD5ctdsmKBEDs6EI4FCzEPxmNxhB0xFQ6/y9DoGL2WEC+DVfpfnUHQYNh/iJ0QDwvjBGQPSm+XcuvcauvgDV81sE55GJx/w2jnMGoMwDkEIHxOogzOzZ+Wi3DNAWDoRYKGJTGE3pbYxdb8gh54GnckBjuQ2GEYjp3/BagpyRekuHXZqE07DmHYGI1Aj6gNKVtMHnqW59ryWdKI6YMi/kCzDLuFf+FlXNphBPERfnB5aBo9YHZ5dxReeiGKNpbKe182g1wKsy75RVsuDvgblkPkyXAGjrmXzADKCvPLsCVMGS+La5B72Z9pRduhtZ1xXLUXasHoyVWFrQrRlzSHmCPw+EXWfzEoHIcc+njEcHmRIxeHRY8ZzPTntsO8j8BLgqz3Dmw/44cc5caaelPnwPGAfbuuVgXgJoEDrgP3Hmnmc+eE7wcgSWkoJzGheKcQn50yFOOES0cnHoaxVqJmRYSaJz5jwzwV0DLlKefhGUrDP0LEPucfbfck67x+icxwCg7qjQy0hYVeiF56bVzWCxyIDywIcibRbjBrMoZEQ7E75Q7ozp1AjW1vNcLgz4UGKXgz/isGZfLtcYRfDmOiznEWBuPqBrHKmcK/vOTKTyYXpBhxgw2yD1YAbwpl3z0kWcDVfY/6AfPiFoGbiyqpdy44GLDqywkAvtscTxMu1oy2adQ8v7xmdDReCWjWdpucIfehYInRAnRl1iVh+wRXyaryyrALzN7LYFFpmTJACADfwK//wRH8kAiNxRp+tL/JXpkXO1QO4MspyG8x3j7MOwFR0eXpkUMD1ymxHqAQJ9vPTRNzAYqpZTDQqXzRGHOnWdowb4WvjgOZhTDI7sf5EL7XSUYmMOebBV4p3EiV7MCZYPzD7uriT3gYLwPXvMDvE3fuOh8gR/IZt8813/+JIbMEXjeVHSoYhwQjx/8J4H6cd+/JPpW7/tW9IP/dBfU/Bd5GMEDhaGrhoj7qV3LImAjVzoqDkD9AHziuYe5cWgKxrsWDs7onEySp8ZlTjPOPBGhTMpBwLQVbPIkAJ+C2RZTo2E4OFt75Jw3TDG+qZTrMrDQI6UbbNYrPLuHHHtADyCSb0U4o51LnQ7auU6D4d5J12+ReDeau3DOc0zztC7odQYOd36GtRYLmfy1C3f3bnQoYW8Ih2lhcyUk85EYGvkc0MOh+k8QAbYMTsf236dNp7zibOuXjfLpZED1hkDATuCm1lqab0B8zN93vpW2j1kz0GA6nwRZVt3V5ecrO6OEzmU30tuvHuMfP6zE+OXaaE3sE08GDfdJ0/ONqjigpCQHeF4PRvDJhV3WGU5tongryrnUjZ2smUe7dzUT5eLYzd4X5mHQN3NQKao6TDRqCcdJ0GrGxHkOkUJoQfxrepDNwYanv2QJDTLKSPNNllLnaY7MwZl5EE+HD4dF2ZAp1i9bHM2MooLm62mUVtQKeRFpqU7RYbYUmlPPGcDReZN4g2Ua9s5bYgBoWXpjke6Zllus+TM7FHsmrVs4R8JxMXAgCDcaJOIst/jJYVC4ZU2Dlgig1NxruWSfrfS6deYBUH3zCKYdzcX6pRlpRuqiIp2e67w4Qzli1nu6Dc6zDqO2QzbXRIgo3cPukYlvAO/PfCDRnVmiN/8VS/LxLaunEUAbZZ6om2ab9NmQwGHDW/Kya2tSjf4jPIIiCZQ2e3u5uziZlSbQzdMhyXR0t6QoF4ns16jGrHzTjYg6I6FYGDCj9NmPCYOWjEDWMqClyjll+zxo25n8IF6eKlhgI0qqvWiDMuFjSCLvHMVWZZlWea2vfmCoHyeOQ3PCJTf2CBW5/V+6YkdoT6cOSRbEx4XUD26tFsy2rG4jYQv9fNLdpfci1IPY6kq2IZapC//+FekH/+Jn0qf+Df+de0CIC87Cu7dNUgYeTC8B6/cz0bnRooB7R94t1ekCdyf7EuEoLq3563rTMnqRPfbbO9348eYdwAk1OCM9XYesXvFa8q2dDCJogMAjMwOgR0+PKesMj3cAwqW8YcqPoZdEMiB9DjUAkBIleM8IBsb+I1MRqflhGznCcdZaLcZnTippvNZOr5lQLmQOQPHKtosnTwzeqEDQM9KuQEZsKs3FnZaRBpOyWZ3Rlx0xoBmcs+O0o61CjxJXqar4wJYkCto8r36nN+lXF1nOitOYw/94JAMmBf196dBG+1AePu8dQyIHjTq0iWxLJaB0wOtwMnnMQinU6LssBN4wcaq/FFPyokB0+Z0+D3iV7CBWtrdqenEcUEfABK4taWT53kGPzgxxjGAUYq3GvfKpQ8bQ5ZRxekD9VBeDEKAoQCML8c21FhyiDQYFPZU2imOnkEIp6gHL8iWXTZxUXfuVUEz+W2dIEsuADG9O4pfWyzR1IjXibJTqm0ha8uDNIBl0q7cEVuvYGKVHbOBEkmrJZ8EmKLtxvoo81D+Dfn7kfpJZB5tEXHTdnf34cM4UfUEIGhdOkF+kuHutmON1G6zjtBPBeCTDh3a6J8UgNZGZ+QBUU0gpr5Hipp22lZtSWVtoy+eq6ba/eY+zXkMoOmnpMM/US50NTgoUtrZxdYiDW3Ovof0dJqm78+QE7qpynFru8wDrww+2N3mckxn/yAvkW3Kwt5KO6Uc6TV39CSz3cSwyfql/bhsD5wPj/b81qMlZdpTLe2AFJprhU1vdJjLBlNOeldd19oB5kFfTpDthl/RHvBd1csxdZYz9/HHttlywHVy5+AGYvjxycHGP5Bnf3+30padD9y/qtPY+EgNiJBzUQKS0o/s7grIEk5ioGY/G9wa3BL+uGxThfxz6BfZU47TmA/obsomo3xvVYdF2t0t/TdJsANAWbnk23a20ntepY8tZWJSYXFK+q7+8yUXw/SidBnpugG58WEE1QtjmC6L9Ee/6RPpf/jpv62t1PRF7pAYsZfKEx0NzcsZIlRvJxINF/p2EOo/lZ03gmyxecBSfROEbpEYeTNTBHeADvpt2dwSzEsjzkB6CsQlXTgi+CS9R+zwQxB4UkB5gO/5zcH1wkbpUla49CwOz/LEOrhmCsQ7+XIn6XcVhZuGDFd6o12nrQ0WSC4HZwPz2bHmH5FNjjZ0gQ5c7XDANG7uiMAmLTEKlgvpV6kmJ4jDNVnrORw5NEreo6zocFS/OueH2S7gAa2Tzt9dD9MIG6BhRxWQdQzO0L2XSHnOG6nJ5YBW0SVf0M72wC0GKZoRIE/oInjPFZNzp2zXx3Uw3wy8zBO0CbyEL/QVebEF8nHfHVk5E2H52mEJZz4PDpBDLktBuVUZhwD8HCt6McjU9Oygpdt4awVxHHkrhiu3EZlI0ERCsQkh7JZ62R78Sd28CYByoixrBZ6iXOiXPPJdwbsMBpTK/1JP65ub1Y0eDHpAc0bHmc7Gziy3jU1pFifS+NM6sRxjkEHton2rtDz4CB54FvJyG64G0VJm/LnPZMYrZFPq3Lry5gnLwLxgB1mWsPiOzSzQtq1s/JmqSRuxXVrupd4QpG3XdPnluhBQbSBXy477VM7twfUUcfnX2Ogh35R17bSUJeco4EoFhwsZumwnlknYj2VvtwFPYfvQifLhJf8OO9iAo5I/LteFlwsHutPeKCf49oCM1NZptEP/LtIy1dOuATfzzKRzB1+0yHnaxm+qSGwjI8OrnLrgDjxLHvwyy24Q1eASPZoBy0C604owVM1rqtEXsArAi0QWaYCwiin+IY0H2NIV0+q8xOv/zLkq6nJERj6GdsIxSfVNcL3163Q37bmUb6kb5LFVsZdNzV7KFyT9JX6huFLJIYxwkjaOVeJlWW8RtM+144ho/B4GcVBghnCvDAC8BOQOkjJY+gDUDJp0XADTAebHdzoWjLXfm8q+YyAGVorKAXSPAUA+W0p5aGi8uQuQzzgpGCPGSSyHHWFuaKqY6wq9m43bTYd7Mm4aB6BmEw+SDE9vkDfntSNmhsDLHG581Is6un6Uu07DPvEkOCY6ZDXHfLglDsppHKMROvBsncuBT8sq4pNM29gz8Gs9me54iOzywC5tpb5ifIKu8aDIb5rOY33n7+FbNEXNIJTmwV/obJ0uLi414LH84RUekUek49BVeDbgKPz0AbrTmUjcBwvGcRDoWPoqOE/vTKy4fsSTGcSOm2I5gf/DAZj8tmMhTXUZCHrgukQaaBEntDm3CsBJLd8iI8rmby1sqY0zREd5x6XqtekE0KFBCK1L9VxSKeUByGjZZ3uVSOWZ8zCaGTJsFN6to75sn9/WI1hGDA9dP+uEjtW//TlW/Ah5KM9pyngXZMOSL7aGLbu8bod4EWKSoJ3p0ubUDtEzQvaOIITneqzVPm0rlO12XOeopGwPqyWdZPyO9lbyRfu2UuHLBwnzaZrm1QfGWh7IFdwbr3jBq2VJzJV5FaMbWXsXbtgDZZkXymSlPAYa/Oasv6DHJ7xZHwwCzQvL55KPmgwzyJn/PJCLWJewfcrTik/e3cUSpcE+XW35Jg3CoBt8mq43Nth/enMG9sTgw7FDPseS3hg9oDvS+g/qDI7AdZKusj0RV1cU5eyVliXlMl0PfDWhExpEQE3nCnpwKZ2uAeNdKY19J0u1DAhLuyEdcT/QqtVtkxNiiVahQ8uSIG7pTLwh65CBuV/O8w7V/EKGv97YrexmnVqNsSRLmbRFAsXx7diQlnsFnGq5up04mNzSxxZY3uTTvsmDkJTanYjltC3qXEXqqByrtFpgyzICiAsniTq67TrVNGK2pFeDGnPmnPVK/J5xlNR2cSksNw/yUU5mUPhibts2XWRmP295E7/75NG1dBwveLLPnP9lfCDJL+nLHV0pBgxlYyw0TKZ661tpb+dQsQU0FgW0jftpNCgSnTRKZjkIEEIaPEFz7E4ADBFT4ZM8LNHRrzpuaUuB13ZyAMlNFUAJaBj3AGfj4NFO24Bg8EnsDOi2AK7RCAAEY0DVagzScuGYovF4KKfVavbFi50IB50CkDhPxYrB3TJNJ4XQsxngALZGMOTzZ1f5kMud1O2NUrc9EBgjgG6NRktlnp+1tMui0+2n0QjgyjOdVcYZa9S7dd1J5+eXAoZkVwfxPLPxIgeHcgYcAeBudABwnp6e51kLwOUA75yk8lDZusrnVO6VzuAiQHSiQVkAqfhyAAAgAElEQVSr6XPjer2uHD7B5mzHphMRejpB9w3HRs1yACnAab5qCjgEMJFAROusL79ycX6dZjMaLgOWemo1h9IdO5H6vWHa3TlKb3/+VAB9DIQA/Xv+7ELOESA4jpdptTtpNivSs6fnOriSmQtADQnSxjHimfqDiRB4gX+gk+QtnQ6HDpQ/lvFWKwbDDK58krkPtyzS9VVLg1kAGXE42AX663fRK52DgQaJ3Rn0iYEjoNKBwLMJwI50RAymJnqGzPGPxNesV7U0GdJpGIneA6yaQOYWM3iZajdLq0kAtxGKcZTd7kj22utOFVjOQK3XWUiXAC8iY4BOKRubpM0AxIrzRwfoHltGnsza0EbQGy8dpLm8bApQb6m4OuwIQEeC3jPadEYBp1wHCBtOAFkic2iw3MSAEvDNqZDW63nwvk7NK+vbtlJL3fYqEVSLLGk3BCoP+h6MArpJADcBtsQbUTcGNdeXgPwxKF3LF9DBIQNi6bgHgnK7OdOAmnoyyBwNCMg20OcEgMbJRAjIRqneVic6HsAbB+hO0qCHvuGLF7CFXrgc9oEPq4v2aLhK8wW8GmgSm5jpIOGdfPDtVppP2A3GrIGD0bGLVoPfNaFJU6du28+5B7/YxljB8RzuS19aS6dP7eOoP8u63O92qkHcxJB5MEcTRg7thgcrlEEgM/AM2BuDEAZtfG81ATM1CClwDdSBEB+eacCiFxFvAIA3IbPLNtiMAihnHvAyK8MAcm7+p1PPGAJ2OuzzR9wcL4cAw6Y0GRmoF7sC0He95JnjauQ/CzY0EEPqTp6BAbTZbcfFSyT1imB47IT0jSsOUV+If2yaw53ZUEJoBy8OxDgCIItNW7dzAXqyCcI+YZ56vbEgMtgEQ94hbVtAn+hlqkGKkP51aPtAftLI8vQ53tDDgDEPhVQ2G1Qc71pXGmTJofG+Cr24wb9ji+rp+XO/2DWbbAjiAHYGQbStLbVfbIK2jM8hGJ5L6N21mkCH+U1fRn9IWfhM2iR04RVgXfpAZK865k0Q7qfdH5u3f7J/Xxxg8Tv+/sko3ExVnbu8+eR3f20GTrwBEeLB2jWxEDs7R+nqvJduHYOw67VpOv/haJBAb/b5ayl18qGy9+871kkj7LUPteTtD4RpOmEMD2RVBkiOz2BNeFcDCQYzW3W2koISvpPm7LTRzEyR7t675Y6gtuezy+hqdg7kZB2PXkus/fPWd3i0I5oY9059W7MV9+5xIKcHLzgNUJgpF1wj4nT6vaa2pJLmlVfuC5X46GgvnZwQj0OnBcrtTGv4XqOnAY3S+9//mpwGbwXd7lBI4UIZTykd36KeOJVaOrl9K53cPkrMMPEbhGfKcgO2Ad46vpVSDbRiBkP1dJAPBG002tLPyYkPz+QwyzhS4+7d2yrfTr3QwZ1UMxodlO/cua0O7ISDNhN197EwB4f7iYNW0TWD5d1dDqO9pbdb+GWgxvl0xE/s7NxK4/FCyM04e5Bv7exaWs//0Ic+qEqAaA1/t7TFNvOht0gQqQ/SwSGDRY4NIP7LB4ouFiBNM3hPeWsugxXvFPIByCmNJzyvi9+059kldkPhsA+PiCFAlizfbqftbfS8pRkxDukl0Z27+3Lg9Qw9QZgOb4K8OW+2m9f9Rn18e0+xHLt7TLGjKx8A65gD6IEeDAHKqadxmim+ZXdnVx0hggCraHvnIG1tU8c97RQiFu32bfS10u5P4maYSXC7qmswVasdpNdee49mGXCkXLdu+WBV26/LPDjcE6J47L5Blsiv3XLHykwKaepasqMTX+fYslraO3CHt5fj4nZ2ORvPS6rEYjBwDCwnx5GR/0AxSPBDWcTLKQaotk4ndw7VaR8dEyPGYhJt+jBtYTfEyWipm1ipue1THck64TKIq9GW8/+PvfOAs7woEn+9OG/ybM6BDIKgZCSIgYyoBA8zYjg5A4a7M/4VwxkQT71TTzGcJyoiRxLJOQgYTkDCkmFZdtnZMDm+9Pt/vlVd7/d7M7MJZhZEHsz+Und1dXV1dXV1dbWeApCV4qiJ6fYO/LvY5WfLrfTpxojo0qOSVz9I8ymChkyIODy7McSf6u3mmbhRyJVIsoQhUBzgQerpYTjwd7QJJFfoBz8VmrKqPMCT0DzDwZpRRhYubiOrnWXJIcbZtPIVacjLtWOG4auuQZKS1vainlAAXORqVg8/tjJ5xgLb1GzxkZQj1cEbXxr6jsECMv5T/PQcTWpXsXo475pVRDFRvzDKUwt6FGn/bmjg/Ex2DzeonKSstvZscLoXaW1r0rq7jz1tbH3L+ihtgZxgEpsJMe6s/4oeTk1/5jvlNDXh/wPN6Vt5KZeH1dcTeNCJieuChdOUljzTToVC0meRDUAD0tSMz5/xQ3+Fw6qNBs2hP1TKJiOmTeNwdZsY4g+Gjyi1hzbeLibzIulcvV6VKDtsGUnmfoWMVTa+9fXRPyJZtHCh1gEZC7KMEygg7viufaqF/Fj0TXG2cqqydBvkIRVGpjaJFqPjT0oWLV6gk6QlS4lvB03sGKRttl0U8DU1j7KSBg1NvMF/4PnJ/f3d+zBtnJwQPCXFciQnnfRm+Z///rG0t9ugTqPBWtqDMHmqr4naf5UFYAxNQ48IJvxkQ8O0ND7fnIG5t7S+fAVcBJP5STBXMhawf2EqOoXBoia67iOVUlqGR4ZqAzRfwFXnWprY3ugSnw5wwDBBaCix/mDmcMMJBjbTfXdXl0wPCqB9s9mjLw94XcCr/md11Q4TOgnCQ8sNa/j2jVxmkjUHQ5YrqQDC2957fa1OXorhT16+Y6LW3S6BxnG58SAQ1y20hYNwkME3xcqDtmmlCzMfBl7LD3Y2OMQ+IwbA8A0+BXR0dfaFXt5mFGjLRwhfa89a4fGN+gk4v1AWZnmFEpQR44dQaoBj9GcnFMdT1P88vaWBb8y/yd7XeIVH9WWhPMPb4GCmZ4naLFXKR6FNvW3i8hSILfNpO/Ns5bCson2IYkK8HfJb/UIaXpDD/Wtq7QkUi6tjdCWV0xK4fGMwYenbduzFuAWcAs6Gj5XjafSqTR4vx/i3uG7QDdok4VEmbWQzWeMR61/gpGVpn2X5ydNRdtzfVLIEBV/pzmdNizJpIFRU+H1AiDL1lfruqXYQEsd9J25rcPElxZi+xrMBIKXVYsAZE1LVtNbN03jdLOii0cK/UT+rp7/havU2OiXfJ9shrGGHvuL9Pm4LozHPMQR4iYmiyx6Tl0YHuq6nVXJuoO2B6/ljyHbn8oc2od3tmX5hP5PF3j9jxIxveO/48g3mylgz8qjfeMf/1r+Nn+P+oLwG3goaumtGbWOvm+MS42a1BSp0V6VN83tKrg4n3LPKop/J433K3ll/DW2uPGkpvd0pV6GEb7HcMEUJWeF9JtmfDF9HLManPg2QDb4WspF/tK/pMmMY91TmGg0USsBzIyAm/GTq6YSfXnzpHUfX+Ktse/TGsngd1vi8Y5nLGMsHABrWZsN8NwYzc6sxhQlPW56DqSgLpu/uIjYFzWLCbHjQFRJjaxizVpYOQCk10Rs7M4/NSCZrZ/rQgloHNUsD0xQ6u2BJMNwsnZnJtdVV4GKxwCTPgG/CplIuB2XJ8pmPVowreS2uTMxW+N2EHq4Cg87C0hQ/xRl/sAEz3WpBuvTQr7sxrBPiu8XS3FDtEGLoZPGgDIoC4zBHtcDYQIVgwNRtMC1d7N9DG0BXoy2Km/68vwaA4MrPhJEJKpYLbfcHNMAvx5Z7TFhaG7Jk43WmfKyIgIY3EAz8Wewg3trzU0+tTGypj2OWUAZ0Agfza3JhSpoQwkGFiA1oWKHMJ8Tq1tM9pMsciqzOZG1ZyevGe/jJBZ6X5+mT9EvWyQQvNDE6mJ+U04olKvPBcrqQDjO8wXP+MauOUiaqqNWT74aLNQbLfX7AcI0GYcBWhQu6cAixNlJGl8TWdHYpRWxgyQhnx/GzdmRZiGUfW0ozuWnLUPCDCXiL54TV1Z8VgEG1W+CpP0kM1+pmLU2dfLnEyqZ+HIxMv6YNbWnWeFZT6PIry2T4WgELpZ8ryzpOF+qgyywM2toxbUnNBhxoF/hSl+2MhuBiflxWDnCrVZbvjEd4y+DLkqvSMSheWE4MX4PJcj7WaqO1vWOJTH+wghLYcDd8vQ6kIB153cWAd0Zf6Mw9eezKmXo+UBtclkqBb+1l9bJ84G59qKx5TJEBeqkMDAMLauSHT7WkoOii+PuPNBwIq9VQmrAUOao+PEZfky24NCR/ukSnChRvbfew0cJSgScyweHylqVVewE+HCTMsqLRNOSSvp4wpmhGzugbcPIonVjSgpcNrtHE40p5+SyN6U8nPhRp57g537NEqnGlgsUb/Nev7VaYBoODqC0ullHOwJlsNZqSzvwR42dcDTTOXa3PpMT8D43HKN+WMQP/sIVC3V3MQkZFofNTK9Yb+sqTzq/U1XgJ2W1KXfBxU9/EijzyiMlTZESoTOBPo5PTx2qz+f/GI9vm5/m7SUmjQlgcPcslDnOk6hDclnDwlXEBhZl+2bKHat95H59IbZ26ULDDb4Fis9+UHjrrPIWPRFOTLQ1RNoNauYz51ZgKoYYQNj8Og4lTZM96mAWYJqDwYdAggYjmNKZqFDw7YVuFC4M4fjPOq6FFOzs7tXqkQVFas5o8WR0U9V0qI8uXPx2sDrZseNutd6kQswG4IlK1HTBap1RFmpob5elVrIkH5UMqumSp6bEapdO65GUomELR2tZqFiIsRVFZD9ZlWz5LS4YbZAYeRGK2J7r0Z0teLrBFVq/uVLAsf1Kx1atXh63jRq3Vq9cozawtDIPublu/tw6VkvXr14cyTZg1NjfIypVrau3MQcVr13aH2R78Yv4rQFOBnhJhWbFzDULIyuUb/kJKZlUQKrJokR3hwjfet7V5RF8T0rw3k7l9hw4WMsEHEdFgpblcwQbSlAluTmfXiAEA0AHDBhce+SG04A//AdeWtAJ/hXAGpAMvviNbUdbMAkhOHDpN0Gn7pKoa54hBwupIErbQ2xKZMhkhD/L5MBjRlmk93NmX3BwfXUqI0ZOGfEHLR2GDgfGd4NBkLVf9cSoya9Z0zR70XZEobGcOO79QVi28AsmMHuawCkwrrLd72CYUYRcgAw/t5+VwzxI69fPt7x4MFt7G2mhLQyZDKCmdyml9tVSWlojWPOIBZW3JhueixjazdqU8dVRWPC1ytzoiq9KlZkZdDoGmhp9WXZdebfmKSVRa/S0tjeGLbxyyBPheJ3yPrF86DWi/WAHBUoevjaen8ubjFrpiSOvfnS5WX+v/fMPfyH7s+gr+UCrBjLdRZlW51ET0Gfxg4C9rH2CAV1I5oO4jo2yqiYUaISgsrdWHNHqQt1uqJS0cQh6K1nIgPX6SXgcmrviMOW15P6AbD7xdgZ1R3yUvC96y/HEbcvi0vgtWoeHhQeUdnVBIWidVuhwZ5CT9wZbpQcv6Mj5O4GEIU5d+IRyGW23wkerrMx9YK58xqNsmaoF/yL6mE1kEnYhYnpYnnlhh1vNQdlEDzlIvoz3b/WOHbeMHgoQCizGHsggP0tm5tkY3XBsefXS5pqEc0nFAOWkZx6g38gDaOa74ldlSu7UvPnpNjdNqdLINLsYD0Af+hrfNikkJdk8/fM+7/km+94NzJQpBRwHCf8ZDsWzTRt+Cf4yLtyDD31tSa+CUZHLEe7EZMY29fn13iKPjHXpQOtptXRcawRQwlTGDda7Bgb4QaExFlzae+uvorJBw9DAzznSWns4xqIEgTTlQBsWnZNQUALWMRGwvHVYlBqZgIAEOviEwBzAIIcBRCuDksNPpnHakpNaEL4nylCbDH8qY2/PgTAtDs10fuFgv5s3DX8lnnRnp6u6ygRQYUUYH0kKBWXVIEywN2vEJXYAQ6+qqySze4wgJ3axDEpujYB1fyzGBOKqDCmVYJyCGCad9+4+86j+jM0vSMFD48oA9M9AmZ02kIR8/Kz/Sk80VVxUMkTzxWKfkckH44Xg7MioN+VxtpxGDhAZoDDAAiGNkS7PFosKyCL1w5IzLSsuDDxLR1vCi/J7g/+ZpeMcJ3/x4B05dGrnc6GTv8QMyp1EXoj3dPeoI7HwY84DREXw9QrLT3GPGUAbvtE4ZaGftjvO500cRwik4GZlZHT+Ha4o2cHDgpV2tjiZ2li9fYXUJrY9Cm+O8M/1ZQ3jEc+XTVFUGhwbCeXXgb/jYzhrLlculZd06HJGhkdXRyuWF0Y3YOiW1lGgqVWyJCZOkNXnV+qBbrbG+GiwrxQUufcvKIb3zF/XlvVk0jYbgqkECQyFm1TTe9XLJh5NvHJ/G6ociYPWxOjAT9x/t4I7n3n6UVantLjQLhipCypM2oQFf/E64Uq5OaPycxsCHFsfNaKblV/FRSri9Yu1S53KIYLiy8w5w4MKPK7SzOqrGrbG1rEyrj+62DYOZplPrAxZKhRCuXKCr09x4ysoxXslmEtveSR0cfB0AfIz/Ya3sgJ+OyCERO/K0pJB3dHSkVmfLF9XF+CKtt2uyPJQ140/wEBkZtg0KNqjzDnoZjeCFppYGtTJhLTE4FdvFGNwVUMLivkFeUd83nPVZNqctmbTTnrSlWl3whSJ2XVjiIw/0mjbDxynbsYj/kClHRkflSkXN8KN+Hi/N5Bdt4Lhbnq713erH57TF4rRkKf5HpDO/RDYFGX5QDXlAP4U37K+hkNWVBG/nXANWtS6lB2CA5TQee621WYgz9ZWvfF5uveEaOemkd8gFF1wuo2Fno9Uz5mnybcnvxcCVG6UWzIDwieScX/xSTjrpRGksWOAzlpqSQRwRHNNnMLO1PFxpYF2+4VUas2xRsEiYPDKGQ1gwcPPL5tmpMCKtrcyYeYMjJudGUSaDDEIZxslokDZHnY5isxp7owHcqjhvItwsEJw5qhpuwM5zFlUoI9zUnFwNigWGs1kyCcF/VJ2lgzzVms6c3So4DdsvsqBzGuTMykKhaO9oDbMKY3rqXAuERhj9wSFpJnBlAMzOk2TASQYQHAi18wezATP+ZGA0HHQRUvE78/eywd8GaGjAYGn1DW3Dk9LB8PW2sI6Ooz+zIP/hAD0agqlZ+lKxKM0tzUEwWDqUViuHZ3YzDYVgl/asPILjqZ9XpUuZnBNlsynwob6Fgge7s9kRik0uEXgTclnwSyvXLEmksUENnkHpxREVx2PlSZ1VenuZMgRJ0xkErxLCwmcYSP0XWsBf/mPg8fazLCkpNGQlzWwXnxdmemkLjhrngSbwKW1hlpFMOlsLVAedEMzxGVeGC4o/+bQ9NDq1O2NDf2aULLHFzrE4HVfLFQ18SNnWjvCKBywkkKdFvqceCGvSeGBLSx9Jc0uDcqM9h5AioTK8szxBeQhhGOh3/tN+Kubwbe8IiJhJBPO0gR8FxBypSWV9Fd6h7bxsD26pcLBosfAOrUN/oW2sfXkFXfDbYAKGB7XBzeVjZQeLK+njwJRG6+YWrw95CGpo9NX2UtxsQubPpEI2+TP4muVPMa394/VQGcZEpha40pRQHKO9LlxJ39xSqIPF5hXeBxbVeyubYsCfyN/Q3+rC22yw9MTlQxNgxDyI1SP+sZkhpxMtf8cmGHjWYIAvfG0+gQ4X3qpTJLGb1KxM1q0IkgvurhC2tFCuK+GGO+1sFhd4A+d5/GX9F0lHB5Muk2WUzSYE7ZZqPQE127gDLXQpSnA6j+WX46uO3IGQ8Klu9IGCYYLU2oZS6eVSFwuwqnC1fAvWmWwLNq/Eshdljk1GRlsvN5YZ1kYEbHbega6U42MW76Hp9Bm20cGxcVg8J+/9u8NbtHieHP/G18k2SxfLFVdeJRdedKksWrRY5s6bU+OQifPHkCa6+zt2+jaBZUQJ3KEc7d3P+h7yZ6QUyeuOe6P85rxzpANmolMjvPVASBo/paw/xEGHOnhax2C2FQ+clBSEWSKAYKI0qaoGXVWBaCxlOJpgT3AwH3W2wHeW6VLh8E2bXdgsj0EAAUIaemqwuobBCuWtgR1Moc5gxyCd7GCDQygyMCwDNtt00zIwOCitLeb4Th62oM6caUsgFGKnoiMAcda2gZ4jLxryHuUV5N1CwXfz5rKU1hqKbBCClM1AqjuWQr09lV3NRkTIBmb4/os0CKLt6DLVyba7skTowqQertGXLcKmXGqPVPM8CodiqgLFlFpz+rbSsHCww5C2UHxHq5JTORUEM0p32SyIavVWS0JK2DUEXKuvD97AhL8iqYalRA4apnMrfEWTxmRWj/ZMm/Nng6OGrqAQfY81IZJMGhqZoGVJJRlZmdm/CQ5ggAt4uFXEhL0uLVIkSpXGyol0q7xFzDa6ocAi8JWdNE4Ms1fjf4XPPoJaEEiDD1/CV8qfxqJGDZbBguXQaGM0MWpbeXYPvrGg9+8MKj6ThQfxC2KXotXPtrbbIOh1ZmnJcPWBAp8SBkblI7AkkF8aVcXamLKwBqGcEu+JNmJyb36Bhsn4fwmBQB/zgYI4OSirYSTVzQrGEWoJtOrp4AUNjbbjoWq9gvVYkSBJOGPQlQOTRa7cKIepr1QK3lB/KHbWcTIBfYb2MT8nFCDK1vqbgUgRgEdYaAlhqWq8Sf3BnTZVOMqb8J73BYvVZDxotGQJzg4KpgARwj9VghJsKczap8ePaOnWZ8DJFTTcoMDJ/UxpR+qF7FQeUiNYUj5ZFymzQ08nEym2B0ixbKFIdVdplJKRUeMLVUywOukSKacvpCWirtqX2WDCgG9tBFcpP3EkVeA6bUqaObCc9xfqC4zhEQ4BRgGi/a0zDHACApMdtdBYjLtCk8ki4LHknc5ndLyAM/nRzqq8GYl0az7KjIoLGEgIhTMsja0FJQuTCyas7ezw1e+2TJwvYJkKyHLAc5nJfj5MMOCVku4sNEspy4dDUokq0sau5ipuI/RrlqXVpqa8wEQZJSqgpsu77Br1PscSMVH6mViAL1Zp+ikPcBOhPjOBoHpBJkJhHqBzAMwjboDKm7jUpFJy+21/lq9949uy/377yCmnvE3mzp0RNgh4XjJv+hemFJtO+LeYQgcYJaQRIzkQxPUhGFhK1q3v00jK5VJRqmkcMp1xqzI4guNfJKtWrZXR4YoKvXVd62XG9BnacejgnWvWSntbm2RSPZJryGnAsM7ONTJv/lwVODTm2jXrpaO9Rap0LraYVomPtEYWLlggI6URFUrLn3hCdth+RxUEdDqWZlgGw5cDxiJ2TV9/v27FpnPhEMu6fGt7k8LMZAtSKRV1+WPa9GnKFDiRVtnOikKhQpk6V+0sNQRx2tbIsWDQ2XDu5vv63iGZPq1Zl5gQPmw/nT59mmSZYaXS0rO+W4896e0b1CMpYPC167qko72tdkxG/+CgdrQcs7R0Ss/TI37UjFnTgpBNy5PLl8v8eXMljblf/ZF6pb2t3QZ2ljZGhqW3p1vmzp2rNKJnsDZPaAAVmJzZxdLe2vUyc85sxS0bVWXFylUyd+4crTsc0LW+S9o7pqmVDl6gTemQKFoMCihQpKMT+xIMgs1mixmNovvkitWycP5MtbCMlIh/NCqNhaxaDli1qUSRDPUPSVtbQSoVYBNaoU+VTJRnlGw8ztav7ZUZ09sl4miMisidd94ru+72ElWicOrt7evTHZlZfF2gXZTW4JZzlZ8QvFWN99TRMV1ytJnGYyKW17C0t7WowGEyuHL1Opk7e5b6OlA237FKMRtH4UGwEVwUqya0ZHmnpuDokGiDqwoh3f5ty5oEt+MYEgrCQReBaUfG2AhBzCCUSPgeoYZjOecMzpg+TZe2cZju6hqQ6TObJZNKqxV31dOdspAZYDaSalnlrvR0dwuhH8yKQlysXpk9a5oKcHiQOD6Dg/2is2LKGanIunXrZd6C2Vo2iteKp7tk8YIZ2n+gAXzq+ELrfCEjvV2DCgMGYJBdv6ZPGpvZjt2g4Sp0zsEyHhXiiJngNJzW2EMjqA7qtIsCgvUH3urrHZSW5kY9eoZnfDQ4xgS/E4JHoriv6Vwrc+bOVgUjnRVZv7ZHw1TQPqTFH4OYPm0dLbCBKpLEdWtvb1ULUXGUWEyDOpFjMBoaGZZytSpd3b0yvaNV0lFWcoW8uhBMn9GmTtsMIENDg3qg6syZM8ISWUbj5LS1NUihAM5p6emFb1tqrgX0hVEs4k34E8KTbJlL67EtxTKBCquqNKsClk6pHxv8VC6NSj7XIMUysZCM/pxij2MwxMFvK59OS15DmjD4Dmsbtbc3SaRxI6saB6693Y5hgqPcX4xQHpx1xkQH+cUxRSr31RevRy2WyqaprJRGiLmUkVxDWoqVouSqOekd6JWW9pZw1mMkQyNDUsg1SAPhL3IZ6e0flFQ10jAdNDyhSzggmQkgXTMbpTVNrjEnGVYUcjkZ4UzEcNYd/MZIgg8sVib3BVTlgRAiFcaCjAwMD0sVpT2LNSevITjwuU9Xy5LP5tQ/a7RYUn/IUnlE50PDo0W1yDChy7AZqET8KQuqmS80qAwgtA3hLFSxq5akqaEgvcORtORTMlouSlSqSiovKkMiJnW5nMZ0wu+yVBpRRRYljOMxmYCnUjkplUdloL9fkE0cGVRoKqi8on6MMcgR6gm/s0LR1tosjKsq+0KwUZQ4QilkGzLqYgJ9iiWbWKNkZVJ59R0bGEBGtIsKhHRWMqlI+gcGJUcID9RwGld1pkhSLFumMzI8OiIVPaUiY1Yu/KUyWVm8ZIlcdvnVcv11N8hhhx0m73j7CTo+mKZlGsFYnSHWE+zuBa0wja1s/bPNBnh3/7KH5dRTP6zLLWmWvRobpDQ6IvkMA0tWsvmMdsj3vfufZGRoVAcn4t4g1CN2tSBAswSFG1R/FiRbNp2V1uZW6RnoE9bBFQ7MJFUZqlSlhbgYBEwbKkpUrkoaeGoHUIktUbGiy1Rp4tLozpKSDuyDQyNSrnLmVosGW0Nhstga+KJU1UJULpalqbEgg0ODko5SMjQ6qisNUesAACAASURBVHYcBArnuLW1dUg+m5UsjpMjw5LOEV8qr/BYViF/Lp3SeTPzrnxDkxQa8jI41CcNhSYZHq2qUI6KI5LTs8fygpPf0MiANDRYjCaYmdltOaITl6Q0UpXR0oi0tDVpQELOisPigMwtjgzLrGnTZX1Pj6TVH6gaDrCln2DZQgiwFEMMHXy2OGctr8Ed2zraJJfJSl9/L/sDpZpr0IGlMjQkxWpRSpWytLV2SLVclGqlorNXDr5sLGB2tlkQTo4s3TH7o2PT3ihpjI0NjUQUFhnsqkiOzh2VpDGfl4ZcVoqVqhRLw9KQb1Zfjip+Y1lmNlkTQDpTt5kugyPlIWUjFKnsqETFjEghktRISkrVSBoaza+sUkIJGdJz1Ub6h3Umi1BCoYPPhoaHVNnB6saRNwxk7R0tGjSzkC/IUB/n9+VtlpdPSXGkZBbRCvFvGIjTel4W8bBQGEvFIWlqbJZsLqfOnczuUMLS+awqjijQTc3NqvQ0tzZJT+96FfIZ9a9IS76ZOEVsirBAlY2NLcHKYFHbGYBL5aIK80aNc1SWdDovvb2j0twGLlmN30Ud86msCm3aAd8dBC+KHT4aLOEhdBnwGxl8SsQmy1tQPiH2TYcM9g+oUo1airLECuxQKi1NcEcuK+vX90lbW6P69JWKZk3LY/CpMItmSYwliEhGBvslV0BZsFlvieXQVEZGSyXJ5nPSkMlJsVoSqbDsiXzAcsRAhxWOiQFW0az2k+bGJj0UWSN1RKYgQHfOaURxYulscLiolg58DQkO2dzaKKMlgo6WpdDQZH5mlao0FfB1GRIUNayGamVASUtDxwbBty/fSMDLUUlVmamXpKW9Q3oHemRa63Tja41WbcviDM4ECeWgVLUApkVKo2U9f5ABmjZlEuVW7qZCQRWCBs4BGynJKH2kISdDRSaVWOUahH5An81m8mrdQ+nEwsqSzWhxRJfkKqP43ZSlLJTLpKQqhYZmKeGvVa0KG/jaWxpldHhU8k0FVVSYzDCo6hL9yIjyK8tuaonIZrR/oGRqvw4T5Wq1pMot/YbOn03ndbKxbqhHmqSgCn9arY8iuqKMQlAckUy6KhnOnUtnJJ/OqUwZGBoVFGKsdxwjgjxDueofHhDJp2RGY4tOpjNYinJ5xYeJDXIXBZuRvQH3CyxVVWRxSeUQvj28Hx0eChNwC4/QP1qR5jxWHU6aCEveVazNkUTpsuRzGQ0ZopbcbF5p3z/Qp30CqyoTVJzL87kmVSpa21vUd3J1b5/Mb26RSiotmXxK8ukGle1YlUioEzC1PMPbOd2tpisGUVqaiE0ltqM1E2U1LiDxqlav7pZMQ1HmzpwvlQifu4zuRKXfsgQIPig5GostS2wqlEeC4GKtxv+KduQsPyamNoHH0Z9Awm3tzbLLDotlpMSYXZH+gSHlAUKmoLCpOYQxOJeT0ii7TCtq/WIi31Ro1P7Z3NgsKzrXysDggMydtVhamnMyZ+4cbX+dAdUpB2q/qnvjD3/XS3IQCo1y5VOdcu4vz1fFZYS4Nfh0YHVQjTurFpXLrrhMjjzicB3AU6m8CpGRkUHtFAiMVCYrIwieBt8Jk5KW5hY9gZ0o4PguMfinCaefymo6opredNOtcsRhh+ush07FEhjbYRECCCrOc2O3BAdCEk8nh0DAopKqKkOWiqOq8OiMCEtRNCqPL39K7r3/Xnn9sa/T+qlQDQNIJpvXARiTN52hoUCgS3OwVKuLzmgKKuAJhlbGmTfM/m6+41bp7x2Uo177WhWOvrzD7h86GSZyhC5MjOKvgyjvMMHpuj5CA/8JW54rV4rCYPKbCy+SWbNnyYH77aMKXjbXoFvFG/IZKZUxu6c19kvOD0DF90TNz7bVWJ1tJZI8iioz+BwWqB758c/+R45/4wmy7aJFdlxMcUQam/NioUUIIGfCgBmRziyQhWz048DjPI7BBBtiaTEreWZNpaJce/3N8uTKlfKWN58kTXTWbE5noqPDw5JlzqM+RmWz5hGYj/YCJtq1+gIFfwi0sUpaUjn4IS0/+ckvpLGlUd785hOF6Rwdv9CUk6qeJp6WLH5JeixORRoLWK9sGaBYtmMzGLRpT2jOmXPwzqpVa+S7Z/9MXv+6I2W/vXZXYUg+LD601zDtjk+J+jlgGUGhZxnPjqJA4DKwowPwjh14CO8//PEvctfd98rpH/pH5X8UKuqG4NP0UaQ4ouBpu6dRHMKBy2jILNlpsLsyt4oDbfaL8y6TGS1N8objj1HligEFMtH+tD2DMEc9oDihJNLXUFQ4P5D2QxGEw6A5VhaW0FAWP/uVr8knT/+gTG9vUzzswGIbWFFqqHdUxryPQgudy6oQUn9kBDRmokHfszbMyJ1/uUt+fu7F8u2zzlDrmNmjWcqy9qV+DIwo9lgOgKV0Z2KiPnwF3cFTLI2qwgQODKzf/97ZMn36fHnrW1+v/mAsV+mA0oBTuvmSccW5XWmuoQ+gMqfKo6RkJZfPq0UDy0VxtCgs43zpy1+Xo444XPbY46Wq1IEPkyRgQ2PaqrHQqHRVa2K1olZTFBCzAPoyevCvU8WoKqee9hH50uc+IQsXzg+BY43+8ARKHTxZJQJ3ZJsL8MGjv6mlCadz5ThCADAZyOhAumZ1l3z8Xz8jP/nhdySH749aEjLCZgO13GRzii98Ae5K+0xaFSGdQAbHdOjJwcy0CROt3992h1x24/Xy1c9/1g5pJkxCBcWDQJLIfZ3t6PKhOkojM9WCYW1py36cV4niTh+p6K7NL37pG7LPQfvKEYceZLigdWvfR6E1f0xdVAqbgMAb+c0VSy0TAMkwAYdPbBl9dHBEjnvbO+T8//m5NLfQt/OSirK6fMvmo8Z8g1qzUUKgNe1IW6kMVnlrvMdklUOwoQXl/d+f/iw//fXF8l9nfknKwecM2YFcAGnmdCjR7MQ2y5xZSxkT4TvoTz+jfnQPXXpsyMvZPzpH2MTx5S9+2voRM5AIZY/JkU1MVBjQo8juy9e+9KZWftvtTTra9J77HpR3vfs0ed9pp8j7331KOObFlgmxguvmE2y7oZ/C04yxqpsij0plSeMXlknLipVr5BOf/IzssM228pEPnyazZnVo/6EkrYxObhkHwmtFlm/1v79fC1NYY4ccCxbNkX/55AeUIerIE6iHWfm2P94qH/zQBzRqqzYnTA6pteU9Xonl5pNltcbgvvYLyiuzhNWr18sDDy+Tz3zho8p8MKHmJXEyj2b2hjVmQvgignmKWOPV+pAwJXfdfb/84Adny+kf/cdQbADG6DSeBwy6+8iEHAaJehhSMPDMhbPkqquvkQ98+NSQCo3fKmslhDVv2D3QwMGRX2ew/oGr/lLyZOcqmT1rppz2j+8Kvjd8M1x1mFHgXpbl0vo7zg5T19z5bh37giuukBPfdrLsst3C0C2MXqHYGo19CQqY9tJwU7BoC2F2SKVa22fIeeefK//4/lNqpDTaW26FBQaaGWhGGcPa/nUfj+S7m2//i8yeNUvedOIbtV0tF3iYsKZsYNIeBnsCyCE5cEmzdn2v/PAXv5a99t1Ljjn6tYoL7aBtqoXzFOPo8B2vsc/2Hgtss/QMluSQVx1syzKeIZSrODollQ9MkXDctXz1SzAhHFhMfv+nh2SXbefKAQfsHyxUiQolYMfF0QdQHIxPjaXIE/g2JJz9k5/KwQcfGDZp2Msay4Q0Gp5CrYBG35hGniBclYVQciO56pY/y557vQzMlN+5ej5tozF41EEKVVMa80GFRFUWLtlOFixcKLvt8RJdhtV1FWSMGihMGUPmWNtoxkBps2DEZRgd/Hn2nDmy/S47ykt228nyKtb2ta5dPEO4TswDcb7WjnbZZZedZdbs6caX4/J728SDptEG/oVeBBjl53WLpKWpVdqndch2O2yjbesgA8n00fHyq6ex/stTff15s+DJuTJ/9kJZMG9O8DsLTuLaptqKoY943xovx2rlJJCZObdD5i+cI3PmzKwVa3X0usd8UScYnQlr5cdoV0ar0tHcIvPnzRSNZK4+aiSknUOUe8ehtrO0hl3thijuJDOLa1pmTJsmbS3N0tiOk6XRSGVCsIa7X1ieYMkBL4DRVia3LFisaT0i+bDhZ8bMDlnLzvEGYFrsPJtwmIphYyAA+Vm5eqc0YCKCnLPDf50sTc1NwuR5esc0dW7XDR2IYxIQ6T0VB+St8TDKnP6qmJzk6dXr5Je/uUDuu+d++diHTpP999/LaqP+T97vwCuurGJZpzgFkLUY6/HzC+puIuHlxLaKQngaysgFW8GQCCTVirVh0ZTTkss0qyOihF0H3kDWzYLmjUqubeCMEeRgkqqBV9DWmV63dXSEprIZqMEznnL8A1DFVSE7v+lA7m1tg5+Xz7p3/LMMJqLqB14vw69J+phDcICC/lKNpDEbnMDDduG4DO5MKJrGz3OCDtohA+KB4UlBR2YJkFmejTqWBjwUp0Ranmv4qR5h8MnBHTT175jCMe9ylAtfTThjrQg4UHgYaJN1t47NR2s7TPJ8VxfXKKPr9Zlcg3r3qLjVjkcvRmkNQDWv4VqvoBhcGxxMmPqb5vY2aWpiQ0GCZmFgZNapOCSRQ4EK5WipgU6en/QYIdiNw9KPg/XvNToFmKT3d46Tw/Vvxg9ptQo1Y75XZTJBz0S9ycPPLpYG+A6L96SwMi1tAesDFh6oUBNYltfhOQyHk5C9dYKYssGXfox1Vy19werkeCXri4MqtHH4/s3LJY9+CzICKx9LIjCRpbHBlXTJXxKO3/Pd8U/CR+7gT4O/ok6GjKG0X5h0MLoYfCsvkDngzRdkWMBVaZhSS1Y+mw+7cS1ArdXF6W8Q43wxDybfaR4vUMsQmdbRrtaPpBWhPl3cJ5P1r8k5VQDq8WCJEh9GtcqF8jyv8/xY+vl3aKh8pQN8zJu8w8rU0mhx7uAz0ioeQSYAU9sjMTkxBWK8XPf+BH2wpNmORBs/HBenXfJah7fXLVi4leqB9EBqKBTs6B2tRlwX4Cvu2r4xbvY+AKjxgPV4pZuw+7NZrXYq/AKlXCYoLUIxCisps5EP2tlIgOCkVtpV9TGbYserb2bALGz9Dzj257IgbusavQMcLROZEjp1BreRXFqadIdhLDus4Po+RN7kr3Ntt3zhy9+Whx9+UE56w7Hyw+99Q/IsvWqbOy5GFUVWD+oOlQpmb5pnLNwXtIWJmb/+6mmZoCsE8gZCI9BW1iUS60wwY0rSOfW+M1NkyF1PSDMNO+Dkt+S9fw9DhZm8laGs8ePvdleXN+w8oSp17yd4pgMU1Ek8DNqBmexSTwyHlezI/s6EoEWbxd+KgJJN4cwiT+9pDeP6QZdvpOOXTGfveG87KNpbmoU/aJ7E0fOM6Qvj4I2FzzOKEXGlWC70DujwFED4J/luIlw9re2sY+kAQcZOO/s5HSgjdLe6upIqWYbD87L8GU4bGfHgfDHNknmT9+QbC8NheTrcTRsbm6UQ4k0pzok2IT1pgUNb+7PDGXvVtMxvGxtlhjrPj7UaxDkch/iN3fl7v/JW4YJD1sIf+HNM23oa8j2Z32Eky+K7Kkm69GcWGV+6HZvX8zs9k9+T9/Y9tDxLEqHFxyoLSTw2dJ+E61YHeIyJjgWHNEVd82sHSNbZuS/QLuABTBS/GDYKALIrpbup1L9K+4a1tePm6ZPXJO1JN/ab52W5B2XBaEP/9y+bulr/d9hOe64sB+Fr4j8vm+cN4RWn1bUjf6xd6Z2NzY1SqSlH1CneVesaQLIsMief4/taT7d6Q2OVc0FWxtIBCDUckvCANbYunpBvLDmzrB4rM+CSaDf6gGdI4BnjmPiot8Y/LCOi7POrgxeSJ/OPv/cdtZRspbs6hnuDLtUpL5oxAF4YDyMUlMA5SQfS88c7fAVxF8DBnqVWiuS9yyqHlCyDd/g5fvSfz5Djjz1K/v0rn9FJrlmwYoqhGlxx+U1y7dXXyx577i7vfPsJugJy0UVXyKVX3Cjf/c5Xpbkx3uXoZb2gFSbM5vzqWcuqHi9jpeXp1Z36t8suu0qhAT8OGsfWaXX3C64s+CKodhp3dIUdJMTmCwrDiIZnfRm93R05xja8Ycq/JvhgcEonr0IJhY59bmjggFPbih7DMDhQg/QbKqv+vZZmjIqhlejSCBwlT8x8ClnVca1NsCpYZ6mHZ9jwLlRBX1QhdS3WiaXxf3EIdR8Vfzf26mUYXKdNRgr4JpTspHeQ9nRj8/vzRN+NtijV/PChGCZIgPKUKXi25ZpO7DyQpG/yPgDRSx2u+GOx3bytNaF2xakngmF4GY259zQOl6seRhxVZWjQjqJRyoS2T+aPSxrPW3wbS5fSyGg4ld1pbTyVTOvwk7CTuMXvg8iFeBG7CuNBYWy5cZ7Nu3MclDXhOe09G86bLM8mTIHHdXU4FuRMsrD6sWvTf/V5x/Na8rvn0at1J12Sx0KKL01jM75iRlvSuPzi3URwdFkyAB3/XcPli6gvYMIiNmbArcMpPCTLc3yA72XgzzIymojmXlMCnGeoA38uK7xOPNu9w/LytR/pQcU4CPsA7V8dbvxcD5/3MX7JVNz3D/RLNgSmHPtNcyqajutEZU2UiwUootTjl8lwGuevv7e8MU2dFhPDxBfTwpsk4cVpeZukbPxl/J3R2ODQzVDG+CXbNJkrxtHfUhIyxmlisCydpcE40ajhMra8/yZ5gHvHqzgyKmVOIgDfMcqXY8Y1iS+YsQHinJ98S9gwxe5ipVQgmMNn1+BRRx0sbc3NcsaZZ8lxxxwpv/j5ufKKA/eSE497jTQXrB42Dbb6UlZcuyQGL5B7iDO2Mbxq6neSiuTPd/5Vzjjjq9K5co2ccPzx8sATy43pNayApcaRjHD5wjEhdR0iZjqHu7lXxQ1FgZPTgxnd8zrD+HPdVYWmM6590TqGNiUvTuZJjcRlry4DUoMEUwLBy/Orl2fPiGvijZgTd5HwxxqawJWIGAcT3DbDTdK9Hl4yfVDeMqggFuF2bFpnVaVXaM+x9+PyhMFgsH9I0mLLUXGdJxZU/pY6q3hw87wCp5vwl5OmQocG6mRPoylJFvzRceCarHvyPpnGSolpiHBkGdHZy/OBj98n8/OOv7FtliyfDT3rVq+1/fkBL88Tw7RByeHE72O+qC/XuHU0RPtWeAnYnpb3Y/+SuHk6E8Sm8A0M9svQkDmKK1xn3DjxZt8p3UJqjkfAOdXx8bpuFBhLrIk+RVrNF4JUci4kMcmAad9iaP4ufjMxLflO33LRTIHFyqhGcLbh0FI4nIng+reJrl5flrbot9CAn8Jxhp8oo6dJfHNY8avAwUT79uNSFCb08F6rPSnOou/9WzKd4VSrXxjUa88qH+kr/DnM5DXuR4nC6m5hJSRtEWWXNkOGOTTt6yR33OqyTvAQ4077qXM9puc63CbIFl7BR2N50Ev2OuMUT4R63TyQaI9kPs+z4ZLqZRF5gc8mIC/H8joteeLeae2QeeewrFTDAx6wurA7k12tDtevSXwd2qauDpsTFFhCY+OT9weHCwzSOfzaVfsjG1jSbIYOu+AsOz5YcavTcpEcePA+ulHop//9Kzn1/afIXnu/XI459nDzw9JC6qn8grYwwWyY3jSoV0L4QnTEPk6xP/rxz+VrX/uCrsVvu+MS+dIXz5Ifff+bGtHbs2Rytn3XRASMo5TUVpjIrGkMYUxW3wl5BxQLM1auskXSj4twmA7foNi/DD5mPk4yzJgU+qhsoDE57DgFXgaZrszsjJWEk7xPwoRRzbrDjNosFsPD4eBcB5rMMOF9TAcvBxy4V78gSWvYhVG27CZg+r2dE2Qw/N2ExWhHty/Ax4RLDChVHvXIhyTjxzg5rCAGrE15OYEyAr4rV62U1evXED6FUIU1vXTjuHkp8ZXyykTdDgs7q9d26rZgeE4DTODE7/SYQGnydjRBkqybCRLwwf+C7brsQGIscLo7Foaz8WQSf7/3q6evSFkyEbFp+qQ4xDFBKpF00Pc09Ve++5zM0tb3B3AywUU+3eWVQwkcb1lwgWnw6+tbX2Z4ov66VCLS1dujO9nA18qbMEf9y5pfo3q/1Whnvk4EOCxJb1eP4ap1HM9TSYDQ0tvM742+5KMvcK3IyOCwrHl6vWb17y6HeGnvkpCT9/AjdOaHjEExAHJVBnsHbKYevk7EN7VP4WbjZbEjtypD/QMhSKErmLSN1WlsW9fDtzYEN02fWEpkQK+oAuI5zK9Un0LTayk1iwd1RNGmzsllNs9vMpDjSYrhmBlQrLkzej+ryZBQyLhn+BXeBK4vyEbS1z+o4RKc1629TMbFGMR30FX7ea3cmLuVD8Iycl9fr4WpSGxGiNvEcYzhcje2jxvPGW+imhPDj3MsfYnLSvY+CgTGGp5j+KEHhFGrvjwjUaTxAXu6esy5PFEvq6uVr9AT3xRX5/1gxY3xJ3bbqJRHqxpY0+pmMiSmgfUHq6PhpVgrfasSYfWnbwbZZ7S1ehlGtGUkO+64g3TMmSHNIbyEta3Fz0qQQQt4QStMRhoVG9qu9Y2Xkt+cf7Hsu+9eMq3DHAF33nFH2WnpEjn/d1fJO0481noZTFgty7QO1n2ZRSStTDFTWXNt6l/Sa+sp7KhSlpkdWCzsZ8zC/ZbCtebnX61ttSLTp3Uo0CRzhWI2+4KyZMuFdEQETCQzZtihsACJmXtTIA2zZCpncvrmtLZWmd7eroOGtVYypXWK+jcTPUGzmA4cULr7S3fSeBsbpudYvJzufo3L1rpiY0qL7LbzzhpFVjugohKnnwizid8RnM2Wffm+7dKFsmghZzrxA55Z9bT9JgDv7ZocTKm/C2vwJRTBqw49VObOmaOkGQ+G+jv3haI3crHBKCVLFi6QystQmAxP6DBRu01E93hAN2ySA8c+e+wkSxZboFd7PxaZ8TUYm4Jn5y2lYUrkTW98nca0UgurCmzjk4ny+jsfNIyejmvIF6Vk3uw5ctwxRyjPOR9MjLNDrL96+/E2xjcthx58oLS3T6tPvNlPum5h3SCQSvFPpeU1r3mlzJphcOPyvMfELeXfkviNLd7TECD7Paf8g7TqxgpSJZVCz5VsM6d7/A6+SdIN2K2tzfLOt58c+rPBTE5MtXy1YMZlGMQYrn+hRP/20l1fIjNm2DLqxPVz/KwuDqP+6mUYz5PjDa8/UubreWxxyonhx/JkQ99dRyOW1hn/75NhY0EMd2N30GUs3PgdXBrJwkUL5ZS3nWi7kekLyiAxlQy+19GfeK5/V/sSlJFXv+pAOejAfVX9Ma6KlS5w0jYLvG44uoId6IiiX9c3UzJ37kz53ve+LkuWLqyV77Bc73K4SbpolXSnnmXzNChP1lfNZMF0lefttttGBgYGQ78xWoylo8P/u4nDFDOOVb1crsrJb3mPfO6MT8hLd9lRBX4lKsutN90i3/vVpXLe2d90GiWuGydmIuFm3sYDnDPkhhpqPMCYyc1SA+eSitkq/QANmUdj9M2HO74kf+OMZ2BdkE3UkTwHV0WqxvB1X4yz7RXJNChcPb5j2y2Zf+x9XVqsTBOUvSk6OAy/Ugb3/sOqW4PrvVbJvCk6OIT6K7D5TzcoTABiy/AN1K7hy2wxyMQEjnHdqNcEhdajWHtK0gFBq7gpDZ45HMPP8oOJUTo8J+hbQ0JvNlye4whufu9Qqasqdptf5VqxMSx/ZX3XUDSAm2orz7mha6xMeoothevUM0qqMqLxcHjmL57w1egeaGwlxby+obpAB4NLWXQGs2I5H22cvoafp/VaKsy69gpftLMZZt6e8ZU0NawT9w51/NXoa0vF47/yxvHjHtixtc7TO66WNsljpCB90unecsV5HMrGr6T3n9keN4azp7S2S7abl+vwjHbBoqfZNHS89YkaGKdp7cUGb2L4ZnWrYZ3YrZzM7HjwTkMU1CZaNmnTQ7IUiPmDGhl4MZYHDKqTyVg4TkfbqCV5DE8573jbwbuPPblc7r//UfnNRZfJOWefpRyAZV+j2AfkkzTd/OllsuZ/o/c0GI6EXAcGRqS/r0fmzJil9FOlI52RpdtuI0+vWhmCZNX0jVDjySKXsVbc4FsK1/IbUr52YExlGwPDkkYQhlvSXEmm5t6fa0pCKNrfbxo2eBlunjYJt8aMJAmwa+80A+3lgsshTHz1fNAVUPZcX/bEOce/jWE5rU3QGH3DTL4um6ere7nRB6ehDjKqNukaw0bzTPQROLW6KhpGc26ddLUBsg7AltNGywEwwkibTNW9Oqgbe6jVueaDRWrDQ+HReEpe3vFmot+G8QY/b7s4J+ntfY2P44+bdTcRXMOCf5mcTAw5yesbK8joYnjaJCeuh9NsY/lr31ShcZngbwOmuqwPniYDtU416lvaierpULgqbZ39YSoDrU2l4kZ3826s3TxDDBWYOsEbI6/cu8v4wHmcfMZ5MX9sqDwrw+QsaSg7lmkxBn7Hd//zcvxb/VUxCLxawydUbWybK80o2RCpB5R48nzaBoGwqKeb+zM6xrQY+2zlAw+FhDEnTKq1gGS960vcEN5WL6OrVg3haAKyHkB40nrV+idSj3Y3pbOGW+ABJ5WVUQ+Ob/XfrU7J957DyrQnK4Oxf1juu+8RGRwpyl/vfkCOPepQGenrkdv/+Fd56OEn5akVqzWD4+uwuG7pSJ3M+zd3nyRAV3eXcIwE8T7gSRgIgx3HEKSrFjXXGssElxPe3j3bqlsncHxoSL/fPMgwmXfAmNHhVX0Ka9DGe0lBs2noyfolcVL2htnDYZzJb5uGOnEKYJgPg3+PBwl/Yyxq9IrfbfyOels9km03EezxcCxf/F5x1N5pdOYZGths0v0ZSO91iQVWDGXiO4UVBAi7rogTY+0X4z1xzvit4+tCjeM38FuBBhjseORnA5Ldex57QqkaO8D6l/qr59PjIcKuQxN79em29MnoYG1mu6TwWQEKg3vAjcN7N6hATVyiwa2nyvKo8gAAIABJREFUpddh4hzJt3E7Wmx0nr0vAZPjAKAu75Ec5jOF35i9M+w3t7w6XINyBzb+PonZhu9hfAv1EMadmk+P4YG4TxmfkSBMiIx3Nm9SEpdtLW/42TmRQfqEvhen3NSdle+cGlKHCmCJgNbwA+6/8IMN9vaOvLrUupFCDJTzwXgL0IazGk7et0hndKSmBs9YMvBBYBkLZ2OnHhCYE+SVuuH7hsqra+sgw+rejcsIQJRf69+GX2jHMD64wuV4ex3IYwppfV9L1tWLM/ptCPl6um4cX4foPQRvzcDjSCpVtsa0T1DASGerdpSnUkGPJHN8jQ9iOUaa+GftSD3A76orr5MT3vg2OfUdH5CDD9ybl7L90sXyqU98Vi644GJZuGCOZnXYMRxzyEk+v2DvjWFsdoFQ5uBAzjwiMBbNpyHfU3b2FTuWPIaLEyTJcP5usq7PFjb5lWG09xqjmFBRbpwsNCcNTl19bWQMsM1qkRSddWknDYMtAwQOdDbrlJ6Xjg0/IbCM/tpJa8jXbjzDlF21/X0wUQGDQMHczs4wgrXBEyYYTfg5KrxHitjF327qOpEg2VSemoh0Xk20O/C8nf3e6G00tGEynD6+BWR1PB32pnFMprCCVNHU1yptawq+mvyDapTSTQVMuEhjA7jSWUelLUA4WfwW3tfX1SZUzrOA8iCeSbA2mEJ73sZzZ2+DZNrJvvcyHG/g+z1XjgvxNF4252KqPpqqn6j498m/Wtsl+cdxVJUpNK1997hZdtQRuJjHDH0x0h1bYeyfRDRBwBUIoxfAtT3Nd8AcNHTZ35QF8PeuZ6JCVZYa7YHndPerIRwqO1nYB5zoMypDOaYFfYeDO3XCbwWZahS4M8U4jRww2cuymfM44523k00OY352lL3tDnjFvnLaae+RV7/mQJkxY7qKpne+483yspe/VI459gijmQpFzxlfX9BO33E14zuICuE4BFTv9RPzBXoszJe207hr9A6DSgzieXFnQs6UI+8A1n1of+rIVkwq4bMy/wr6yfutU536zhcLR2sPOq054IWW2DpIbbSUse2uHGI84wQPdPTo4dYhrU02CnqSP6pQqfkNON7sGrJoxsnv9e0Q12mLUCLbFlfTyjIaJUpjputn+YXXtTSmf+hb43fjk0Tujd66AN1oog18rOGgbUxl44HGeDZ0I6UDO7O4AT9NGWbLTii+Wf03UNyzfj22rtbmMVgmifwMd1NQ1Q1B6zUet3o+ieFM1p21Zz20ePAzfMbXyZQBt5rU556KJ8PDeIF7bexwJQwKNLXxhNLr+pkqLKhMYWd7UJ6dr8bW7Zlgb3YrqJEJXEpp1s66FM+tImC4q4+Q7iI0JcllLUl0AqBWGb4ZjBgno0P8PAl3NXKqKUwtdtCPczWVL5VeYcdjGLO1VBQtxRMA0N5wMbqGeoUVliSWRm9bBViwYKZ85GPvqeUl3U4v2V523nXHhOJY31cc1t+BwhQoGgY375TTZ3RIQ6FBunsGZNaMZiU+s8PHHn9M5s6bK2nUXf1NAbM49Z/x1XFzxoZReJfWWCPGSt5bPI1z6POrPmZOj60f421Mz5hIzyKj0zcG4YLOryjXAwND0tTMUTFJv5utTV9wNUHBHX8mCDN6QvjAcFGamwvSkIcPnE8QRM8CTx0oYtps2V1YJ9RDN+2wXhV6auiKZ+nALJcj6eodlLbWZilowPatJ650QNfzGXUYVJ9Gi7tlVkXIZ7xr1uliqSLr1vXKjPYWKTTlddJCdDGdCGjdtoxKE6d2vpy47Wq8KSLruntk5vTpNedVvvkgzdUsZ5EMDpf0oOeOjpaYe5ID1MSIbObbmCPH8psNdFafCvHC1nXJrJnTdZXT8aQQrRP0g95VkXIlknuXPSjr1q2Rl+++m1kINhObZ5IsppspzHBD//CIDA8Oy5yZ0+tA2saNqqxZ2y133nmnhsnYe++9ZO7saRoixPpmXZZn96AmIptVKJe6khZVNKJ5d1e//PlPf5KompJ99tlTZiZ2OFMwdStHVVn2wCPywAMPyqzp0+WVh7wiYbWZmM+eHdJxblfY8KQqlqry57vulmX3PyyLF8yTAw7YW1pVtiqiysec6frHP/5F7n/wMWlpbpSDD9xfFi6anZBlsZUpLqX+TnfK1Ux9YeKgbMg/Jkfrc9Q/Zc4444wz6l+9cJ5M1Pl8xBpfO6Cug6eUUQpNBVm6dJGa09Fsr73+97JkyRLZfbcdNQaRUyPZif3dc3M1IaNlaw+0ej30yBPyiU9/WX7443Pl/PMukQeXPSQv23MPaWwkAi2WM2d+v25d7OPygxAEK0UlJaVKJKef/llZumSpzJ6NEIpxtPYybX9rYGwC0scOx4OrElv6+0flnF+cK9dfd7P09vbKvPlzpaDWSmZKNjIaDMubvJ8a/BE74T+WDjlipViWL37th3LvPfdKanRUfnvJFXLDrXfIAfvvr1FwwcPaw+q0eXg53xkvxe3p7xXqpkGlRJ5atVbO/vEv5Ytf+Jrsvd/eMmvGDLXssiyulI5E1qzvlm9+57+kpSEvV/zuSnl8+dOyy8476gnqVkjcJpsu9JmloDmHRkbk4kuukjPOOFOP2dlt1x2Mb4PS2NXTL1898z/le9//sfz24ovlp2f/QgaGyrLrnntIPssoH8oObfPMMBmby3iLt94/uKdN7rnnfvmP/zxbefSEE45TuVZrKydZ6F/Eq//s574uDz/0qLxiP3w5FIrCqeUZW/QWPVN5BiGUdcM5iS+g/nTnX+Xfvv4f8rvLrpE3vOFoXYrTcT8mnMJAwTrvfy+VSy+/WnbedlvZfZdd9IDeADYh37YIwTGJvbF4bfgaHUxZYoJ07nkXyWc+93WZN2+uvGSn7eNyLbl8+/v/LT/+2TnyqlcfKi/ZcXs544tfk0yuTbbfboFD1DKfDX1jmQJtwxKWK08SyfBQUb599vnykx//t/SsXSc33nSr/PdPfyVDA1nZ7eU7SS7DhKki1XJKvvmtH0tPf5ccfcQR0rt+QH72s3PlkEP213YAUSjicnoMsZ7Bo9PX+4UR7S/3LJOPf/rz8siyR3Tp8je/+V+54bob5OCDD5KWFiakHBtVkg98+vPy0D2PSVQdlbvuvFv+87s/kqVLt5Htt1tcw8XpastyoVFqX8ONLulqzQKvewLSm3bucPzqKehwL9hfNapGlWo1iqJqVNVrFFWrFb3n+vDDT0X/+umvROVqNapWKlF//3D07nd/KuobGNR8nuf5RCBw8j+tV1SNVnd2RR8+/dPRzTfeGq1ZvS669ZY7oqOPPiF621veHxVHy1rnCDI8Z7+Klux4x1dri/Mu/G20/W57R/fd/1iibs8NsoZbWXkG+vJXqUDDanTxRVdERx55cnTJpVfqcxTaIomp1y35birvrTzoGGgcRdGPfnlRdMo7T6+1e7FSiY5+w1uiCy40vENXsDpQQ3+xSUQnYiLeUfZE38YDLJVL0e23/yH60Af/NXrprgdE995zX1StxDwNLgOlSvS2954ePb5ibVStlqP+vsHo+BP+IfrZORfV+u94yFPxpho9uWJFdOPNt0W7v+zA6Oqr7oiqkfUn8ES2fPXMH0aXXX5l1Ns7oHS8/bY/Rnvtf3j03g99ORoeGdV3m0/fTdXB+DGZCtj6F1lfWnb/A9FZ3/p+dOLJp0TlIOtUTtDG/F+tRqXKaFSulqLLrro5euNJp0bf+c6PokqF/PD9lvBDEpOJ7uEL70v23fH1ch5//MnoW9/+YfTOUz4UlctWtqfhWqlUo6FqOfryN78dnfWt70WVciWKFNcg2+vYru5hIoQ28Y781o8cP8PF3g0MDkWda9ZFb37He6PfXXVdrW1dPqzpXBe9fL8joruWPRgVlafL0Q03/z561WGvjwZHTIZ43TaByGZ9trEstFnIAU/++vxLo1tuvDUqDpeicqUclUqV6MwzvxvtuusB0a8uvML6WxRFF114efS5M74dlavgVooq1VL0kX/5UnTTrf+HaKvVD5wn4xfja/B4Lleq0Xe+f040MDCsfbtSLUbdvb3RCf/wnujMs74XRWXj799eeW30gI4PlahULUaVajn68U9/ER197EnRyEhRcTUcgU2eer6rx580fC+Fa/3XjT35ek1NgXoh3TDfxnkQrdE1RXcO47rddvOlIR3JH277q6xa2S9vf8sH5I1vPFxamwvxzHDMLO55RR9WN6KU3Pr7W+Rzn/uYHHTIK2T6nGlywIH7yTfOOlPuvO8uWbFyjaGszqjPFfbGZrSBtYPNNFLVtPz13sdloHdU5s2aLxwMyc/b6rnC1qKq+/o4XJSRVSvXyFn/8Z/y2c9/VF53DI6BMYvYrJnZHs6o2iiJr1NbC6OpTYy0pKgq/3f3vbLd9kv12J1qKpJsKiXbLFooDz70aEAGXJ8JnSeasYVZWZg/hwI2eOEYiX333VsOO+owGU2LNLe1JUIum034mmtuk/6eHlm8cIYuaTW3FOS973qv/O53l9kOKT2ehCJ8xrrB4p7lh5QGEz3ooP1l3rx5wYHeIgdLqirlUkX22mMHOerIw3XZkLbYb7+95cjDD5Kbr/+tLH9q3STzstN6fLV0x1MqJTvvspPsvufukmtorFmXOI8RWqnPCxHqo5z0D1TkiSdWyV577iWVVFVwWUdOxtaL8WVs+Rvwja1LE+VfumSh7LzbztLS2qzWw7q+T1dKiXzr6z+SW67+vXzoA++3Iz6VDVnIIdghsaWsfm4VmqiczX+nwOuSgxN0aWosaPDPObPmSDqTWB4OWdatXStDIwMSVTNiO0nT0tLUoktzjDc+DtXVsa6kLXuwscz8fECB3sB4N3d6h7zi4AM1cC1pMpmUnPwPr5eoOiIPPva09jcsMLfe/kfZb6+XCgFI8XdEzu2//+5yxVVXql1Q/Nw97W/Pvq8Zvoap8VlaBgcG5bBX7qe0BQsOS29vbZWjjn2tPPzEIxKFcOwLZs6THXZGpsHpWT0j7tgjj5CuNb0y0F9SG3sSQ6NxaJhxZOU9dPO/cQk2+MJGsg1+fuF9sMEtNmV/8lMfk77eLrnt9lvkK1/9jBx91CHqDMbOF+8ozycqgJMyg3ZiE4MIvenTZuiQldZljapGL21vmSZ9vT1BELpp9bmpjdPdurWx9srOTjn7Bz+Q4447TAr5nDQ14UvmbWNpyBfn3Tq4e3nW/pAvku//14/k0IMOllfsv29tiSBZl1hY2/LY1sE0UUptXZ7I6S1yz53/JyMDFUlHHHATycrONbLv/nuFDCZIWOagrspPCVBbfrshwTQekvOvHg6dzUguy3lR1tZQrlwqyxWXXiJ77rZ78L+xfrjXPnvKiqeelK7uvuBQXcs2vpBJe2NLMeCVzeakpbUlLMexpGD+EihTqmio8zTLI5Hsv+9+ksunJZdzn6xJQ2gcIKen9xMGQk6OT2VMtGv7ai5orIdX6vb8Sy7+nRx55CHa9k0FW/Ywfvb+N66oZ/ACvpiYN7yPgVWhoaDOvuyA8vdaWCqSG265Q371y1/LySefJNmsQbOFW+dhlJmJy9hyhOvxjWmbnFykJF9okGwOVwf72fZ8kdmzZ0tHc7N846vflO51vbCC3Hb7n+WNxx0njeqDZ/Gv6uroQJ7lVWEGWXnwoQeGSN4V7UPw74xZs2X2vNkyc1qzdZxKJHf/9W5Zus3C4G8HAlVZtHCRPPrIExa/DW1VXQ4nT02grejuJnMiaW1pkZ133k4iO/gtbFYS2WbxUpnezoSJX0Ve/vKd7dBzdsnxKiUyY+YMmTt/juQbUHzgJCaC3oYbwtlkjcHdcr7ZEFSD9wL9N8mwjY0FOeKoQ+WkNx0ju+y6rWoV1pg4IieJ+/wgBjjxp00d2nvJ4nlhBgmOtjMjl0vJ4gVzZfvttlXE1fLxHNbHaOqDHKeyV+XCi6+SM7/+BZne0SrpTG6MRmeVc6H13FAfOkfywAMPy7U33SCn/dP7pLt7UO5f9qj09A4H+4Z3Oq50J67+t7WwDuclackpOfXkN8pTK5+Ws876vvT1l+XCC6+UIw97lbzqkL2DYPGBaevyt/Muwg0Fub29zYRfIBPsuWZtj9x9710yb95sH781TtTMWe2y/dIl8vCjjyrda31gCknsgp2yWlqa1Jqh59MZBjqAFxoLyiMmrBHcKRkeLclrjjhaFlGHwCVTiKaCjtX0lOTSeZkxbVosvzRgpe0+Qrf430uul472dlm6aK40FHKSy+UtFpfyLYPO5PNF3PY2WNb6dTjImxPmvVzvUQyuP/z5L2Tp0sXy6le/Wq6+8ia59HfXy5rOLpEq6f3PBuGpoDF48zPbp3VtDUtTi8EVl8pGoo9+8H3ywL33yL98/DNy481/lEwqIx/64HttTjBpil1cpt0FU5z65kJfLIYuj8C9Kt39AzIqjfLaA/dRxaKnp1+6BwZkRsdMpaXVLy1z582R9d3dMlpid7X5ZFoZ3ipjy97c5yRPYRsM8aPUIk9kbdvuQ/8Bl5UrVslxRx8VeCITxoaMhWpSUJGs7eqSVxy4v7S25IP7KPywqd+zq8fmlLApDP7mvvvgbVdvSCOkvfOlo+df1Rx3HTDMG69mIVCmxzImIk+tXi977r+PNLcwteGXNmaDBbei4mRlQWP/s7vLrrhWjj3yVdLE8mcqJYVCpnYYZrKOAfmtdqFs/owr7Hr5ZVdLW9s0uenG2+Sy310pV195g5xw4lvl6mt/H9KRemoGms2tuA6YzNAlJdtst1DO+vcz5bLrrpHXHH6MPL1yrbz33W8PgepiPod9tK5biR+8XZUb01mZN3OuYGnyH0r92rXrVJlevM3CICRB0lqD2SiHKWtdqUbgf88/6Vcm2Ko1ibS1t0su31Bb4rdYMSY+jXxBIRGRBx54RD71rx+TbBa8jd6TjttYgKEtdXislETKWOawgmmH19TQ7aab/yA9Xavl6KNfrVYIrDsNDQ2BxgHfKVjy9H6V5AFFKhLJF/KSa8jVlGdrbZGnnlot9917j+zykh3lgWX3y/bbby8rnlwpb3vLu+S6a29xw6TVbYp4oYa3u3VEKdHdkllr+7r6pCJ508nHy3fP/qEsX75cvvTFr8pRx7xW1Me6RlPQ9Roq6s/6H+Q+kor2rvGi0sNcBFA8r7ziWvnXj31UdtpxqfJ0f1+fNDY2Suu0NuUR59J8NqdLiP2DsIS9BeazHzMMFmjRz4GttPXa8z7cD41WZdXqp2W//V42jlaIgiiFupWS66+/Sd78lhNMmVWSmgXPQU7FNZZWUwH9eQjTGdyvG0ORNM+eUTZWwuR8wwzPzwZNCy3wv+dfJO8+5e0Jga3zhckpcIuhBDoyEUqnZOXTa6RcLqs5GBoTVA+h3djEAcdhGcSXHre4rEnKQHTesFy18qlVcsRhR8vJbzrGFKNUWmbOmi5f+tKZsu++e8q0toJEkZmFp0hub7JSJoLt33Q1LcPlirz/ve+WP97+Bzn//F/L7nvsJK88eD8TVmE5F6Bqedwk9MlNgGDP5XIyMDBQE5KUAPbpDNbHSP2DtNSgBELXpuZWaWpoNGuIRpyfXLzGQ0OEG00r5bIuHdlOPtWkQt9iuFIktf9dfeNt8urXvFLmdDSLxb3xYWA89Kl5kxKs5rk8ot36kup8KZH163tlxZOr5NR3v82sYtW0RJWqNNHvAuOazPPRa+vgjizIEIsrIa2gTefq1TJ35mz54uf/WQrs9o1E3n/a2+Xu+/4qp3/q03Lhkp/KjjttPzVk3BBUj6Ifvmvb1+5Tcufdy+SCC/9Xvv3db8qvzzlP/ukDH5Pvf/87ss1irI3+m2S6otiEsao2ZrESob0rkvseeFxa29rkuKMOVvmFj2Y2m9F+ZBxuikYqzaQ10mXFthY7Z874fzINCBNbAwlCSfvz98tzfiNvffNJYUescwUqUsrCM0QpefChJ6SttU0WzJtlXKNd0ujKmA0dpuL3d2lhShLSCbshxYjvniaZ77m8T+JUu9dZOJFfInlg2eOyw/bbybQOfIKYZYAt/xgTbf36GA4aoFAiueTia+SoI16ruGEupmPjRDk8PBJwnPqZwobaz/kAGjGT5LlUKcqS7RdIKl2qDSyHH/4qGRjqlQcfekRxhsZT1Ec3hGr9e51aIlJEnu5cJ7849wJ519tPlO9/9xvysj1eKp/9f/8mff2jtUjViCbDF4G09X7Oe6VySYZHhyWbzdpMU5FJSaEhL5lMVgqNwa9G+x8xeFLS19MrrS2tifRTj7f1r0hGi0UZLY6qhUnrEPBSPiGScyqS0WokN954q+y/38sEZ3vvb3WmkClE2RSjlBSLRVPiwCDIL8h7ySXXyM4v2VXW9RSlq7cofUORdK3vlscfWy5DI2UpFp0X4CK/n0KEA2gUJhTosf2HIRQrSKGxwfoYy3apSF5z2CHSNzgoT61aWavf1GMZW1lo2lwGvjXLDmVDZ54+e8bX5K0nv0l223Un+ZdPnC7l4rCc/eOfSEl1UMYS0k4ubbXshJLgbQ5ehI743e+ulOOOPlxS6idE06ZkxowZUmjISrFYVuWZ4Lu0+sDQkOQKOWnMO47qxDT15I3SUonS8sgTndLa3izz580M/cddY1jGwzLF67TcdOONcswxjCE2GVdjQY3XbZybCqT/7ixMExERBvtb+U2kPetYqUdfVGV1Z69cfdX1cto/vSsIPRgOhQULiP0mguHfJv9qHU/5HOBRJFdccbHc8Yc/Sy6bl2wuK7mUyEPLlsmXv/R12W+vfeQ973tzLfrzc9E2Rh+jBNaQSrkiGWZkUU47LYsvs2dNl8ULFgQaPw/4p7YLMpLzL7pCXrHnruonQGATfChOfd9H5Nrrb5bj3/CaMH5jfQhm8a3I/9CWX7lUlFw6RCgOs0uoOH/uXJnWMl3Wre7SiL4ISP7Itaa3O8Teia2Q1kpT9y/4UnZUpQ+ZFcQVIKuJlc38l3OoPnjaKZJW7+Wq7kbSr1uJvhSj+EYpyaRzNiMP9Oby1FOPyLnnnqP+LZlcQQNsDvUNqPXmtltvlcNee6y87/1vmjpijoHsvGATk7EfRVoKTTIyNKp9zNqBYTEti+YvUR8s2sFhTL2ciB2KC/lGyWewKvuynHKI3HPfMt2ZuttLdtBjPqZ1tMu73vkWOf+iS2VoqKyKCJzMf2Hz15hKP7NHpYFpEkYPvQfftFx6yXVy/OuPkgZ81CPzb0Vha2jMy7S2NlnbvU7aOxYoSwPnieVPyoIF88XOIAn4wDyTwMPWk4JyGfjSaxylyjI8VJKbrrlJ3vXOE1WJs2JjgwWtv3bdevn5ORfKiSccK7qLLxyJ4ihONT+8qDB5i9VmVD74eWe056nvkDVENuMmiGoc5XRt3HC86+5H5YYbb5DT3v+OENmZdHRqdsewBXdic+hmFPiMk5gowanPRAUzgs995hM6Wy9k8zIwOCQNTQ3y6OP3y+uOfa1ss3RJraxJ6KM1WM/sBrpW5aUv2U2efHytKnsckMs73YqdycqcmXZQo8JX0/gzK2nLc0FZ2pN2JTf+KlWdPV5+7bXy8fefogOmpLKy447by2GHHSJ33vkXOeENh1lRzMb0LszQtgKxXZjBCcVyRUZKRamo4AQXW0Bobi3I4UcdKsseelCkeoz62bCVeNn9j8ns6TNl9szphrdqB2ESuuXE24wcoY+FlFg/CwXCjTAQ2eRDFSgskKmU3HDdLXLwAQfKvLns7DHrHZvdwxC1GeU92yQ+oBMNe0R5wQcoh/xZ+t1IWXckZdPUIS3f/M4PZO6cWfKWNx0vvu8CRXqqfvCAy1KuLHEWR0aVrOiZujSno5/ItjtuK5GU5c93PiR7vnxHC5OAFWR0UMpSlh2322Gq0JwALv3etPeB4V4ZHh40BVoVaqPXyqdWSCHbKGkClqpPY1pee9hh8r3/+h/p6uyT9qXwhoe6maCILXzl/cn50MwvoMlKQ0ZuvuWPstMu28kOOyw13FkkLlalLFUp5DNyyAEHyZ//fI9su80c829MpeWvd90vRx95eEJBoi71fWEL0YyTu1ajVAgWI4WdkidX9smNN94k7zjlRMnk3L0hJZ2d62XOHIIZV3VJ+f/+8KB8+KPvkgzcEI6mGRwc1tMMVJTEpU3JnanIUwL6bx8ojOh/z5faxONaWPPXbZoVuen3f5Ge/vXysY+8V3e+ID5LpbRcevl1UkFb0TN6Ym19q9VHZYkJSWjJb59995aDDjpQ9t5/Hzn01YfIvvvvL6lsTvbZ7wB56e67BgVA9ZOthubYglTR0x4YyeGHHyp3/P56GSlyPpvFfFm7vk8WLV4oS5fMVRMIwmuSxMpYVDbwbLTUj8EKo9ubI5Fdd9hVnnh0hTBrS5U5e0k0mvouOzHAGJaqLm1dhAOqLBpH6jvT0liQYhmaKrVr9PvAB06Vp59eISMjIyr8h0crcua3vyNHHnuYpNMY5sMvQQJ/NXlX27mjA19VZGS0KGvWrLVDjUMhtHln5xr5+D//P5kzd740t7ZId/eIrOsakNv+dJece/51Fjdq8pDaIKSIXWNKmKr09w/L+q6umiWRTJAK/7DGpqwUCmnJFzKSb0hLNp2StrYm3XSBXwsprZ9OKXGNB7TPVGVgZEjWdfcqjqYEWAs3NOTkHSe/ST71mU/L6s51yifsUrz9+tvl3794hixcjIV36n7ap4MVi3sowgSlp69feoaGatYt0+9Sst/ee0t/3zq58fY/SpmJVRTJIw8/Lvvs/XJZsnSG1tmwnUzaGq2whFv7R7Jufbd88jNfkysvv0GeeORRuezKa+SCS6+Qn/3qQjn9E1+UcpE+mJZ/eMsJcv3110lPf5+wr66zc608/uhyOfig/WoyeHJ5Aaljdec8OJtEp+SK62+Tt576dhka6ZVLLrtMzrvoUjnvgkvlw//yebn/wSd1KtXXPywf/+I3ZN1At5x7/iVy/kWXyUWXXSWveM+OAAAgAElEQVT//t2fyuVX3hiYwGkxmfSt568X9NEo9VXd1BNEThJ67POm8m/97zbJjuSOP9wrH//nT8iyZQ/Kr867SH79m4vl5+dcID/84U9kxx23lT1ftpvWTJlV19CT9ZxivImbobs3YqXJFSeu+sc6+yWXyasPPVTaO1oVIfUPUDS3Iq5jSKF4plIybXqHNOQy8vPzLpfZs2fJ2rXd8j8/OUc+9MH3SEc7Z3D5GUbx7HkMqKl9VMuWCQsaep+9dpXzfn2RDI+mJJVNy/XX3CID3f3yj+9/p9Jbl0CCFUR5Xn0xQHEqaQ1tkOlpefDBx+TSS6+Qxx57TLKZlCxZvEiaW+wsM3g0m8nIdtvuIOede6Fkcw1y4QWXyGsOfaUcdcShwRHU6T2VZEULFenp6ZObbrlD7rjjT7J27Vo9f3LxkkVCmKPunl75zGf/TZ5Y9pDccdOtctGFF8slv71ULr34Mrn+upvkdce8RhYvmq8DvfP8VGCsg7k6TUdyzz0Pys3X/V6eXrVaRkeqOnmaOZPB2o0G+OaBEm2dkuWPr5QZHR2y7baLJRV89qYS17j+xmv3/HWZ3HztrdLVuV76eofVijdzVofixoC6+x67yTYLF8v5v75Yurv75Lbb/iR7vGwXOey1hxqowLKTjzP8yrRTKaf/4hvGDtnljy+Xrs51UiqKzJkzWwqFnCpPOM/vv+++8uufXSwP3Peo3Hvvg7Jq5Sr5yEdO0zSqLiScs2NaPPM7VZQUyzBrkpT89OyLZV3nKimODMijj66QJ59YKU8tXyFrVq6V/V++n+y1984qB5qb8rJ0ySK56DfXyLJ7H5dl9z8op5/+PmlpIVSG2VKg62TRtg6O8l8k3ev75dILL5V5M+bL8OCQrHu6S7rXdUvX2n5ZvGC2nHTCkerzddmlt0p5YEB6utbKcN+wdK3pljVPrZdKcUROOP5oaW7Gz43f5OEbANZdUoQBr3vz4sPfBAXiZotkzZoeNWszW4wqkaTz+N1EUqlEMmvudGks5FX460woNlE9L+rp9RgZLkpDIV9bKrfOhcB6boyghpeXz1Wkq7Nfnnj8Eck2Ncpuu+6sM3YjIp2UuyC97eVW/td9kmwpuVpJyfInV0hv73qZPXuOzJ9PrK74t/XxDRa4SISA7tVqFJzqK3plEHdBhLIM/UtlkadXrpIFixZKKhOpX4gPEHFNpvIukiqrnIxFKbuntIwGhTRswZMo2Vg+aH2WlbDk8KPGPqOuGywmEWXvP0mQYEbZ4MWmCisbXKwvRVElsQXd6oFygE/O1qAvOPOHggZxjTPACY3almO0PvrMHfSMpFQqS64WvTIlevCYDry0z9T0vYnoC0bJtnXaK60VV9v5C0412tcUpamRZ4Zn6EFcKCbQBmwVZ3wWuUlhJefOcbHFY3CF322y6t+8dpN7dfo5fY3/As6KJDhzw0oK9q9MzenbNg/RMQNOyideh6nF+0WFaXL5YKtBc4Zz3ySWinRruzp+2swoRQh5s3uG6aUrAFsNzc0uCKda+q8L9c3OOAUJ406M4xWDDhGcrTOb6buikYmVtIG+Sufg2zIFKG0EZE1qaBodfHQOZLFOIvW5YsRnvwyO6wZqqgaYjSBa+wQ9IRuDo+KrAwtjZ1AwVGDyHBytVWMph+jatmxUAzalN4qdNr2yJxOSmg+ODfp8ZBhCUTKvDFZosU7AOxnBnBPnmXxkY14N/myKbRhrVNGjTIidHEhQjgKRg68N/OB4+nXysTWIDl+vYBexzJoWdmqZMkcbh7TKKzzTBy1yOlF4MvRLqrTV+DmmmVGTgdwLN2WU+rCEa30rDPaBX+rqPCXKXeBH2rzW1HajeAUrslHa+p0r81BafSHdD7LGK9TH+cRbZHKuSXrQiMhVo5/d86423YjKUk1lbAkvZRMBw5ljccDP+MXJ6rAnB9N6KC8qTPX0eN4/GVMlZ1R0FBQhZ2yu9YyeHBzH53/uq+wdJcbEZ2bxm+fyzmnGGKMDfUAmOcgk8SN9kubJb5N/H4R2rf1N8RhfjuPkfDI+xdZ447RMlsU7lgn56SCkA0/MA/E76ro1luNi7CbCN/5q/ZA4YiasDb+x38f2x+T3ybofh2fYDLKpCUgy39bgWS/P+85E9R+Lh+chbfKbv0++mwjeM3tnMpQyHH59eXxH9lp/svY32euTkrH4PjM8tjxXPNGwvODvuCehja2XffP6bh05gYLM2AV+vlvS8UriGt/HIWfMGrp18PTyX9wl55T4m73CbPglcDWBsrEOu3FmfC6JEA+QzyUWSQFpeJhg1BmQ2aufS/TGlR23NXjab2wbm7BEsGxd4eL4jL26cBz7nmdmvXFNLIXOhMP0kbzWRpZ6IhiT+i6Um8TK+5mXA735s4mLv/Xr2Nr4+8m9eptbW1uZ1trcJ9s9iU/y/eTiszFojqtfN5Y2+c3TW/vHuI99TuZ55vcx/BiG045v9hcrykxaYwtunGdr3RluJg8cP97RX8YqmskJdgI/3WXL80R1T6Sb7Fv1qwVokr4bKkRNuswKN5RgSt+/aGGaUvJuHeAmJOkUlGfaupfsQsafX7xunALjha8P0DU797jZ2lgaj4ex8TL/nr46r1LnsXRzOmyafi4st6ZgTw4+MS84zlzr8X4ucFQskiiF+ySdHC8+Jd9PkO3FVxO0KfSbuP03j1zknwq6T9SuvPPykmW6wpT85vmT6TavRs8ulZfrUDan/GSezUnvsJ/99UUL07On4XMAAYZxpoktMzYY2fuNDUYgvKHvz0FlnodFukChM1qHrB8MDWX8VNwk/zysxPMapY3x38a+GY9vPf5N9DLlhWBwqinNPKtlSa1MyYE0zrl1G2JTA8imvm9dbK008wYyzJ5P+LE8NbYdN46fed5QK0+XzM998nkyaU15DtuvE8HnG3yKjEv+JsI3+X2q7r3cLYH/TPJsCfwNp33RwrRh2jwvv2h4+Fp39I6RFNRBgJMm9v6rq8tEg39dgufsgfo8d53Bqp1UljZECPB0XJ9bfAnsZ86bsaNsjLXjGL/527ujDvyMzluPd512XE0xdkUuVtr4Vt/3ArLh4jDq307tE/w7MU4x3oGWsVutorQx2m7s20T12fz0Rt96GIY/MPhz/7b6NJP/ZGf/4VOTfRabT6iP/1w2JOvIO3/v6abqSrn/v73vgJOquv7/vjd9Z7Y3WHbZXcouuyxtKVKMgGKMxlgTNfoT1ICAECsaQxR7CUaNLcYIsfuLBY0Ve0OUtkhfytJZdtneZ3fKe7/POffdecMCCehf/xnzRpdX7r3nnnvum3e+c86554rVY+YzIfn7oXg41rEdDX/R7+ijqX+sPBy5vmVhOrJs/iNL+DGnZ4RPjvTQH+m+cBv8Rw4swlRkcJE7P+zJkWVn8nE0dcza3+sZJS6lx6EbS0JhRcsy+lxwdPRKrbu76duP6OAFCkeyFBGv9Ok2KL536DhE3SPdF6XH/q/oW1A1rbhERwKnI9EkuR5NvSO1/273DyczoiiVjEmdF/Lx0yP4pRIZGtJ9jN2vTSqHPzv6+sQv/R06f4IGgSZS+vSRdf/9HBgNjvFA9A8PNo+ekBxLdAu6Jz/R5/Letz2SzOTcHYlv6q97n92vv23/x9ruaPg9Vpo/bH3LwvTDytvqzZJARAISsEgFSwVHUjSyjnARmL/Ao9tIepEOjBOzrXhRyuvoeof2K1/EB8fEETIzX7dUx7yKpifORbnZn0kzuq7ZN5VLmoene6QxmoDg8O2i+zv0XPZp/qAweTr8vUNpmHd4vJFkoAfPFdUi2nIc8mi2lmcH8xTdRsiIyg9Vktw39yHpSHkQ8JD3DncU7idRh9qYIFHyaNKWAe4m7SM9B9FyPFyvR3/PlMfRtznWmlJAclzH2t6q/2OXwKHfuB/7iK3xWRL4D5KAVELE0tEpl2gFLF/wYkCyPdGUf4fGKoh+ZF060p+oL5bsinPmiAnLunRBZeIjj8blIQcql3/m2MxWYvlyNG2ThFRYsjYdyUJi0ommbbaL5s+8K3mWR7NEnsn+DpYNlVIbISNZ9yiPukgCeGifFOUiaBKlw4/f7EO0F3I06xK/3V/dJB/JqzkeISfuyRhH9zJKECrz2RBN+hN1qG85/oN5peyGRiqFSIyPybPJp3nvu53J5+C7Ufn3rWnc0fL59y2sGv9dErBccv9d822N9ogSoJfyD/2yJAUnE7aRcpaggJJl8m7FAswYPLPa4IzSlOGT0rpRGyoUis0cmhwHUSEFSFmoxT1TgUugZETFUWLLSCZAKoumS62pD9o4VIIIo2+5yjciPWJI1CUK0lWocwpssQmz4JMpchSNaoxBVOYLgwYpZZKPABZCeYvWlP1XzJdILsrnrLwVUF+8tVbUcmqWJ8tL8CeCtaUMZJ8mv+azIC1sVIf67A5UTNAjZCtlb9CS6Qa4Q2bA2HvQxsOV8xENMnicNF88HuJc9KtwIjD5nKgiUSZ1x7mAaLAstojM5RhkH0aHoM2MWUYKULZqE/x+P8IBHemZKRhY0pcFLLoiggSigdbWTrS0tCEtLRkuF8XLiW2FqY/OzgDcnKVfAm8B3CL9iin7Dv+aMv0ORKymlgS+swSsveS+swgtAj8OCfzQL2WxkcJTT7+Dp556AV8sW4VRI0vhdjoiUQlsHVDCeOKpt/DIY3+Hvz2MkkH9oWsKXnn9Q3z51WqMKB3IWpKz4vLWFjQbZAFQUb65Ar+99hb06JGF3jk9Dj9NioKbb3sMNoSRm5sdWSggIJJEQSQbqcCJDF2L7MaRLQ0MrknxR4xQXM8AWEa6i7Xry5GZmUbpJ5kfKfUIZKFtGzRSyAIQEVw4uKYcBt0lwEPKWfJkUFNZGrKiQBFMRYIsg2KEV9m7AIq88pEHQffpTwJIM7A+GuCIjkxQKttQOwokrqltQFVtPVJpn0RmlmRJWzsQH8JSI2Qm+RB8ynEJbgmoUbkM4qVLKjF4Y1epOS66f7hPW5sfc295CM2NDcjPzUNdbQ1GjylFXt9e2Fy+A3l5WQY4Bjo7g3jnw0/wzLOvoGZfNRQlhLXrNmHlio1YXrYOq8q2YXjpANTX1eHl1z7EgMJ8OOymhepQGR2OI+ueJYHYkcChP5dih3eLU0sCMS0B+vLt2l2Ozz/+FO+++T527axilcgggS0SQiG+9u7r+KZsFWr2V7JZR1F11FZVYs/2bTx+ssLw731Kc8B3xMZsTQ31WLpsKeobaoX6lPqY1CyBBbYO6VhTvh7NzY2c/FSqWcEDKWVDARrKWShiAikE+Gg7HlLY9Ed9ita0E3n0h8tVDes2bsNd8x9k6wTtl06WDvkRVibqzy6sZ4qN6ZkvKLIkCcuVIE+giPoRyQJNUgK4RPAOdWB0Q9sraFwgAAntZ2d+FGhKWGxxogSNNsa4IiDFCD5mOZOEiI6wpvD4iQnak4238TDKoOLmeXdj89YdoivihbqN7JkmrDUmHwIQCbAh5SPBKoFRIRGFgGVEzrTtDdWV9U1qfGYIh+p8vmQ5ln71Lk4+eSJvcmxXaEUY8RNCgB+bkHguFODhvz6H++c/hJmXX4ZLpp6Pn4wfjXPOORWTp5zFG7t+s3oVA8DMrEycfMJITJl+JToDR+ChG0vWpSWBWJSA+T6KRe4tni0JxKQESPET4zqcHjdSM5Lg8cZha0UFj4a2s9A1iisBtm3ei7amBsR7vHB4HAKcQMGM6Zfg9jvmch1SwGLr12hlFYbb7YPT7obH4xVAiuJORAsRm8IYREFqSiI8bhfzJCEX6VjhUiFXD4EbAgCRxgIoGe4+2niW6yqa2ITWAFGyurCK2NDc0Ag9GGSrCluYDBck1dOk8mc3mtE3gzKCgsQ1gQbKaG/EWZGrjtoZ2wKZpEzgJgYrLTlERYPKoEZIQYASxmE8F+SSFK5H4S6j+REyILeg2LCWx0TA0PCAEV/k3hIAjQRKsITAHp0TWQUtbS3wxrnEHJDMeKxy5ReNR8qW+CIARfRkOVWn/qhMWNPY+qcZQJbuGiDqSC4wMVogFA7jlUVv4PH770dKogdOtw17K/ejvHw7ylZugVM1wJuuY9XqLVj8zmLMv+sW5OSkcd/shiPQCuB/Lj4PqSlpwsKnKcjOz8bMaZfjyb89zSIi2R6JH/O5sM4sCcSWBKwYptiaL4vbGJcAKRGhs2nDVh1utxsTJk1EU3MLPv3sU5xz1k+hErBRVQRCwMOPP46hxUUIdobh9cUbyhSoa2yCFtbRs0eS2JEeKjq7Qti6bQdqamoxpKQYqtMGu01hMCS0t4KQBqzdsBm1tfWI9/owctRgeBxOuFxOociNOKbWti6sKluPYDAAm2pDYWEhsrKSGLhUH2hATU0zBg/uy/lqZFzT3spa7NtXhWFDiuF2OwSv3MKGPXtrsXXbdjQ3teHrVesxrKQIbrcABy3tXVj+9Rq0tDYhJzsXgwYVwO0Wlg/CFms3bILi8KCgTw6+XvYNavbX4LjjRyAvO5OBxPJV32D7jkoMHlSEkuJ84e6Cin2VVaivb0Gfgj5YsmQFavfvR//+/VBaOgQel7BP0eNEyn3P/los+6oMelhDSclAlJTkMuc0VxQTvWz5agwbPhybysuxbVsFRpaOQL++WWjzB7B9x25s2bwVoS4N8Uk+jB8/BvFeF2O8tWs2oaUthE1rNqFXejYGFGajoyOMZStX4YTxY6K2a9axa1cl/P5OFBX3RXt7J5Z+vRoDSwqxtXw7KiurMGHCGORk92CAtaViL1aUrYFDtWHo0BIUFeZFvhniGZMwSYJPDSuWrUZCQjyGDR/CdWncp59xMnbvqUaf3L5wxjHCg6IpeGTBQpw26USMGTtSgEGDHNWg+U5M8GHUqEEMDBnLKcDEsaX49L1PsGXrLhQW5LFcI0xZJ5YEfgQSsADTj2ASrSHEjgTYOkDsChMTujo6kZneC7NnTsHFU65AY0sHUhM8/Ct+195KLFmxArfdcD1Wr98MJ4EaI3j66edeQlNDE+6+43p2bX346Ve4484/IuzvQnavnmhubMLp55yNRHc84txuptcV1HDNNXOxbs169M7ORmNjK4YMGYDmhhbYPC52v5Gt46vl6/G7G+ciPTkZdtWG3ZX7oITsmHfrVfj5aaeiuvoALp/xO7z9+jPI6JHCwidFevOtd6PN34HnFzwamRCCJaSYFy36Jz788GPUN9bhD3Nvwt//9jjy83phx869uOb629BYewBDBhXg66Vr4E314Lab/sAAgawxf3lsAXbsOoBBAwtRX18LVdPx0F//gvl33YYFCxeira0LTqcTd9x+J555+kmMGlnM/X/6+XIsemURElLTEO4MItnnwvPPvIj8giI8cP+t8MYRKNOxfOUmXH/jzeiRloL09Aw88sCjKB49BPN+fw2yM9NBRrEbbrwVx08ch20btqBnzzRAU5GRnohpM+egtmYviouK4FBd+PyLL9G3oD8effRBZKZ58ebrb6C6shLvLX4bgaCOAQVTUVPXgN/PvRMff/QWfHFkEWMHKBZ//DF2767Bvbdfj4a6Fsy9aR6KBwxEW2srEuO9yMnJRGZ2Bl57/QM8cN9DGDp4INSwhj8/+DDGjBmJeTffgORkHwM9nnBCe0YsGF1/8NEXOOPnpyCsalDZmsZGO+Tlyvg2gYqqqmuxfv0qzL7kIsbZTMYAlkzXcACedvp4dq9yKxqDTccJE8fixRf+gdtuuzHyDHQHcJEC68SSQIxJwAJMMTZhFruxLQHh0DACdTXA5XTA7fYgNSEFffJzUFb2DX564jhWoh+//wnSElMwYcLxWLu2XLimDFdHvNcNaBREDDS1+HH7nffiV+ecgYvPOwcpaSnYs2svrr3uFthttGKMVJqCN996Dw31tXjjtReQlp4MLazhuWdexGdffAmbEasUDoRw5+13Ytb03+DC889ijdoVCOCe+Y/ihedexuk/PxVDBhcjIyMZC598HnPnXcm06xrbsG7DRjzy58fg9gjrErmRxNYxOq6+6jc4buRw/G3BQixc8ChFHkGDhnl33IeLzzsLZ519Kux2Ba0tbXjxhVdx/58fwojjRsDrtsNut6G2rhonnjAFp595EkKagosnX4H5DzyCP993K/rk5wO6httun48lS77EyJElDIS8Hifqqisx5eILccYvToGqAk2NLbjit7/DG28txoXn/QKtzUHcfs89uPfuWzF61CCoioq6mlrc+cBfce+9D+PhB+9gKx1Z/dau/QbP/e0vyMhIBcVpvfrSO3A5NLyx6B+IjyegAuzZsx9nXTAZL7z6Dq6ZcT5uvuVG7K3ahxmXT8PwEYO5ndNph03VYHcIt5UAHBqSffGo93UySHE5XVBtCtpam/DcM0/AGxfH0Gdl2WosWPAsXvrHAuTl9GLcvXv3Hvz22t/j70+9iOuunW5gGsMlaHxdggEdS8uWY+aMS6Gy25AD2IThMfKVIrisYF9VFVx2J7JzevHzJYtNFxvV0+CwSfVBIxD99e3XD/fNvx/BQAgOp124kCXikoSsoyWBGJWAFcMUoxNnsR2bEhDQhXgXwdI2KAiHKchYwQnHj8bqlSKQlqKNNm7YiJMnTEJSUgJsNhtscmm+psDt9fCfChsqKnYiOd6Lq66YitT0FHb55fXJxi/PO4MVarAzBFXXsHTpMlzw6wuQlpHI/al24MKLfw13nAs2ReV2dqeKxx58AL86+0wZNgOXy4Hho4YhHCTuNQYeEyaMxWfLl6LNH+TYoPUb1qNvfi7GjSoU8TbspwHXpbHSpcPrhmbEIYVVFRu37kJbWwvOPvtUqA5KOWCDL9GHGbMuBWx27Ni1jyfZGedCTr8cTJo0nq1pDpsNpYOHYtDQYejbt48AhKqCAUUF8PvbGGxSHFhY0+GO8+G0U0+CzaYCqoaU1Hicd/6ZWL5yFXRFxfvvf4ac3DyMPW6oiMeBgrT0TFx0wbnYtr0CXQEVmqbB4XLjggv+B+kZaTw+inf65S/PwIInHkVCYjynMSDQkJPXC3FxLtTW1TNoU2wKdJsDTo9XgAeCFhrgdDoYjIjAd1Us9Q/qIsaKNudwqPAleTFy9HB4vXFMn6T/4vP/RGnpMOT17sHzRSFR+X16Y+q0aSgrW8M02arHq+9k0Drg9wfQhTA/SyoF1NMTGAnYJ8rmJ6SFEOdKhNPh5DgkshBG/wmUxc45vk/XtAiA4sPS0tJ4haa/s9MkaJ1ZEviRSED+RPiRDMcahiWB/3AJkIWIWDRccnaOHbJDV3UUFg7Aex9+gbCmIRDSUFlVicunXUYhwFCcNni9wrVGBiOqQ3tsUdBzxY5tGDS4GLTSjICJoK+gYEA+VK8TjjgnwRzs2bcHhQMKI24UytHkcOgYPLiElTKvINOBvgXZaG3rQOWeWmyp2IYqiu9ZsQZxXnIVisDoccePwD8WvYFNWyowasgAbNq0FWPGjDlo2TspWWmVIBeQ1+OGz2u6jMrLN2N/5R5Mn3UjFFWDS7XDjyAjin2V1aivr4ei5CPe58Ww0mFweZ0cL03y8PrikJieCV03ki7qClzeOHgTKM6LZKzDG+fGoJJiuNxOtoAosLPY+/frj3fe/oBp7ajcik1r1mHylJkI253s7vO4HGhuakDl3ho0t3YgI9WD1MREDB9WynQ0wzhDYCUcDqN8yy5U1VRj46bt2Ll9J7raQijo3Zv5oA69bjdUp5gYsqoRKCUroI3p0GwJGO3y2HkRALltqV0oqKNPfh/ukyx17f4gqg5Uoap2DaZcuh8hLcgWK4fdgdqaavg7OhHoIjBmBL4zDuKnAe0dTYiPS4TTJQCgsDqK7wrNkXCbiUByj8sJ1a7ATvJQRcA71eSVgNyEguJpdaLGKS4Eu9RWY2DqjfeiuaUFCQnC6sbPL49R9Gf9a0kgViVgAaZYnTmL79iWALkpdMqyHIbHRUvpgaLiAag+UI8DNa2ora1CSno6Bg4uYIXp8XnRGQ5CIaBlUxHn8cBJLhFFgRbUkZHW00hPKZalE2yK8/jggR0eJ62uA3xuN3xxcazYeOk/ueEUBfHJKbArZOvS2NLx8uuL8cTChVCDGrIyMpDdOxvpXh/q/I1C5rqCEaWlGD5iCL74/EuMGFqEpUu+xg3XX81gTOpGCZaokU5L9jUN8T6PADSKjta2VvTMzMbZp5+Erq5O6IEw4FDhiXPi7NN+ioK8XqSDQRaRzMweRuSMYMHp9oAABoMggogKEO+Nh9ftE5YXRYPN4UBmjywaFYNJXtTH1hsHW7oI+OgBP/L79MG0S85He3s73OS3szsBewiKbkdiHK3G0xGX6IPb42F5iQV9Orbv2os5v/sDtGAAbrsDOT2zMWLEKGzeuA4OH1lxyHWlwuOJg0MR+bUIw5ArKyHeB0oPIWREK/hUhEMKHLRCkqw1dju8cUlwOl0G8KKDjWOnJo4ei1NO/gkCXUEEQwEQYCK3pc3ugEMYrgTI5okg65COQFcIPreHASO5HU0rkbAuCWAkVkT2yurFwf6V1XuRmEzPn3BEmBt/E9/UToAxMSPGDwEAwUAYWjh6lZ8Ygqhn/WtJIHYlYAGm2J07i/NYlICx1QYpmzDCUMMB1kdCkaooHToI69dvYKvR+BOOh0q//hUFbX6/yN1DKQR0DQ6dFLlYvp6bl4Oyb9ZAmJgModDKr8pKdGghBEJhBmepqZnYtnMXcnqlcawOWQjIy9fQ1AaFEw6q2F/TiMcXPIWH7vsjivr3ZQsUKce3P/gci159UWAhBXDabbh65gz86U8PYv1Gygelo2RgIacfEBnDzckRliYVwUCQQRMBEIJnJQUDsUh5CxNOOoEtXKIFyUVB5b5qpKSlsmwoZ1NTc6tBUFhkuoKd8NooXYKptINdnejqaDfICCvTus3roAU1qA5jqT8UrNu4Ef379oNND2NgSTFWbd2L40Yfx6CDQBRBnZb2IGoOVLO7ksbmJNlfvZgAAAtySURBVPOdRnI0cIKqYMGTL2DSSSdi2uSL4HBRvA6tVOzCi6+/Cl0jgCTScwY62tFBph+GfCqCmob29gDnrqTVkAyWoKGuqRlhY5WiTVUR7gogwSesNIQCPR4VOXk9Ud/sx7ifjDNYEcCuuraR3ZsC2wgQJGeA8k2Rqyzc5UcgEIbbJSxJspzmJ/LRgbS0FIwfPQqvvPIhbplHFkkCP+QylSCJnj0NdfVN8Ho8iItzi+ZGqgWP24akpFRDUJREVbgAI31YJ5YEYlQC4qdDjDJvsW1JINYkQOCHfqnT/+SmolgejYKjyRgBBSedOA7PPvss3lv8EY4fN4KVDqmptsZmNDW2ArSFiaLAH+xCR8DP1pRhQ0qwuXwL7r7nIdQ3trBFYf+BOjz19EtAIIhAZ4BpnzhxNB596GHsq67n3EH+zjCef+UNfLNmBVrb2qApGjraOxBq70JyUgLsDh0NzR1Y/MmXeOKZZ6GEDSsCmVh0YGC/fPTO6ol77rkPPzvlJDhsIg6JColH+SfcPTp0LYz6hlYI40MIw0oHoF9+Hm6a9yDqGlsRhobd++tw970P4tJLp6Oj3YiDCYeghYLCasK6XUGgS0NYE7IgyRGOCWphtAUDCPEVGatUbN28E0//76tob+9CIKxgbXkFnnr6RZx51insppw06WdIdNrwwMML0dzSyakBlpetx+RLLsf8+x4VlHQFzU0dCHTSzAkrDBn6Av42BFo7EdZFuoY9+w5w4HlDXTOayJ3ID6eOjnAAW7buZpmT1Sk53of21ha8vfgzBENAhz+ADz/5Cu8tfg8dYQJWOgKBEDoCHfAbQIvaEUy5cvZUVOzYhIXPvYr2tiCCAQXvvPcZLvj1ZDzz9AuU0CryzMjvBs2D10cWSRcO1NayBYvmJNoCyE9fBDhpmDnjMqwsW4Ir59yGA3XN/PxEoKmuobW5A8u+Woc4rzviqiPAWFVNINONxERhSZR5pSQv1tGSQCxLwLIwxfLsWbzHnAQIa5AC41gjXUd1fT3i43uI5Da6juKiAdi7fw8SE5KRl5PLv+QpZikY6ILOiQUpDkdHVyCIjnY/K0dfnBunnjwJf3/uf7GsbA2GDhmGFcuXYnjJUGzdUsGWHXLLnHTiRDz88F9x6ZTZGDNqFPbWV0HpbEOvzF5QNQU23Yb87F5ISPRh9uw5KB0xDCtWrEBNVTUmjDweG7dvYmuNzSFceZQZe/SYUXj/089QOnwwu8XY02gAlmiFrGsqEhISsWXrZsyd90fMu+kG+Nw2XHzBuZg64ypU7NiAooISrF6/AY01dZg+9TKkpvjYMtba5ocniWxSpOTFCq3W1iYkJfg4lxX1qYR16CENoc4g7GRm0cIIBgIoLizCqy+8hMWvvYuk5GRs2LgR48ePRXFhP+bS41Ew7ZKLMGP6DHzy8QdIScvAtvJy2JxO3HnrTWywCQSB5pY2tglyfJECqGEFJ06ciLlz5+LTlcvZ1bm7YhcGFw9Afu9srF1dhi79V3ApKlKTE3DvXfPZ+jT5gtPhcNhw/E9G4aZ5t+CV1xaho9UPm2bHyRMnoIXGpygIBQPwd3agvY0sawRAOQ038rKzcdlFk3HnXbfjn/98kzyYqNxfidSkNMy4/DLhjiRJRSyZ4itCz1z//n1RsX0neudkGTQlBBLQjmqKMxsyembgoT/djVlX3IA5V/0e182Zg6Kh/Xh7niWffoX161bjxrlXQ6E4JmO+qfPtu3ZhYDHleZIJOoVbMua+qBbDlgQOIwFrL7nDCMW6ZUng+5IAxw6xe0P4Lw7sq0NGWhIKKPGgrnOupdrqWoweeRznSGK/DVT+RZ+X2xO5vXsy4GppakFGWgr69MnluJTS0qHIy81FR1sjtmxcj/N/eQ7OPPNUaIEwRo0uRVJKIlxOJ8aNHYuG2gas/WY1srJScf2cq5DiS0W/wjwkJidSeBSKi/pj/55KVGzdhokTxuO3s6bh3HPOQJu/E0MHl8DuNFZZqbSdiIIlS5Zi+rRL4XDQ7y+RaYqichjIGLqYzn3eOLQ0tmBreTnGjh6BpOQE9OyZgWFDh6Km6gCq91eiuLA/fjP1QvziF6eAlt+TBg8Hw8jNyUWf/F5GJmwVqk1FVlYPZGdlCDWvKAiHQkhPT0NuXi8GGOR+VDQbrpw1Fbt27oDdAZx77pmYOm0yxwYRiKRPdnY2BhcPQsgfAMIhnHrKKZg9ezoGDuxvrJwD4uN86F+Yi3gfxYARgAGysnsiIy0NnX4/vC43zj7955g5cyr69M3jNAPFAwtgVxXkZvVGS0sdfK54jBoxmPscWFyERF8Cuvx+FBcVYtasaeiTl41ePTLRKyuTg63j4xMwfOgQpKaJXFdsR1NUFBb0Q/HAIrQ1NSPO48a555yNa66+AllZ6YYsxPYwxKQJWnWQm2/l8rUYZ1gumV73B93ETkhJScaZZ5yOlNRkfLV0GZZ89iX27tqJzIwMnHXWzzjxKGell7OuK1j83kc4btQIY+9ChpcMALt3Y11bEohFCSi6+Y2KRf4tni0JxKwE5FevuzVADojiRDgAmGOV5F2hE8klJHQbKX0RhEtWhOgPWWTEdmnCakHKTX4MrCBSBxAF3oqDUgsYNKgD+hjXdF8jFxjF3LBHTkFYD+PNtz7C9optmHPtLEk6cqSmYowmXzQmvuKA80hVcRJl8JBWC7OleUYGDQoipy1ICPQIVs1y4pXuvfb2u9ixdQ+uu2a6HAbLSgAFkoWQnQB5og3dIb4FXREHRfU4Lovvm9YbHhs3EDxI61O3URnyEvMm5SvbRoubQ4REtYNIRNpwLBF1SPFYB1URVksWBM01wVXhPBDyF3UplunyadfgpnlzkJebHQlKp1IhM+FKpTZkN6LgcCnVaDpMjQrY2ieeKZLXvroWPP3EM/jD72cbz41wyx7MqXVlSSB2JWC+QWN3DBbnlgRiVgKkqGiFklSKNBA6F9ekgo3/pGalCuzWE/XEwE0asi23j8QRkeKTqk+0YOWsin5Em4N5MFCDqExdGlu6EBIJhTV8/PlyvPzyYjz2lydx0omTIvUO6p/7PLhfrkh8cTLN6DEYSMGoznTYSkWvKHnT6IaX48tXl5SVKIv0pgBaVxidnSLOK8JghCbdIUI0buFipINqyET2SfRYdgZYMulQAY2D7mjCEiVZ4qIIJ4JUt/Y8PpKBQGeyO+Py4DGZfUpuzHkzy+QZzbUZZE39yA+Nbcol5+PKWddh//6ayOo3WS7r0pFyKpktZY2oIwM2c8Dbtu3BG6++iZkzLxFjYjn/SwpRxKxTSwKxIYH/+him6F9O8oUhlgOLl1NsTKPFZSxKwHzeBPfdr8Xyb3Nk3cuphJW9WaXbmVBYQmf+a+X1r+kIsnKTV1K8L7/0OkKBJsyeeSmGDaWl54f/dOf5cMqc6ghA1o1HumRLGgELg748Rm6I+xIXMB0GOUBJUSFSkhKNhkYckCQToWPcOORAoIRuHlpRjkmUUD3zNSr54JZRF4dSOaRDBin8PjIqy35kzWgLYeRedB9R57KcjpIO0T7hhDGcIHR/ZSWysjIiZdH1uU23cUsa3esRzU2bNvOefVdcfrGwzHVr272NdW1JIFYl8F/vkuMXFJvVzReLBZhi9XG2+P6+JUBB12R7IAsVbdLKrhuKZdLIynIky8j3zdXh6fN3O6roSEo/qsq3ODVeHt+i5Q/VJFoOUgbynrz+trwwHQa8tIpP5eeB8B7RpbLvSv/b8mW1syTwfUjAtKl+H9RjgCZ9oeWfyW63AAGzwDqzJPCjkIBUmMcyGNmGIQLHEZFilO66o7GhHNqbpHloybHdkXSiv7nC4CLuHI3iljSOredvN+5j6+P/XW0xRjLbkVyipXVsfUhZsVwJGDE1cSRKVH40Mj+2Xq3algT+/0rg/wA1dH23rhKXyQAAAABJRU5ErkJggg==" alt></p>
<p><em><strong>(A1)</strong></em><strong>(ft)</strong><em><strong>(A1) (C2)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(A1)</strong></em><strong>(ft)</strong> for a <strong>straight</strong> line going through <strong>their</strong> mean point, <em><strong>(A1)</strong></em> for intercepting the y-axis between \(160\) and \(220\) inclusive. Follow through from part (a).</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>an attempt to use their line of best fit to find \(y\) value at \(x = 10\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for an indication of use of their line of best fit (dotted lines or some indication of mark in the correct place on graph).</p>
<p><strong>OR</strong></p>
<p>\(13.4\,(10) + 192\) <em><strong>(M1)</strong></em></p>
<p><strong>Note:</strong> Award <em><strong>(M1)</strong></em> for correct substitution into the regression equation, \(y = 13.4x + 192\).</p>
<p>\( = 326\) <em><strong>(A1)</strong></em><strong>(ft) <em><strong>(C2)</strong></em></strong></p>
<p><strong>Note:</strong> Follow through from part (b). Accept answers between \(310\) and \(340\), inclusive.</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>Question 9: Linear regression.</p>
<p>The correct means were usually written down. Many candidates drew a line of best fit that did not go through their \((\bar x,\,\,\bar y)\). Almost all candidates were able to use the line of best fit (either the one they had drawn or the regression line found using their GDC) to make a reasonable estimate. Feedback from teachers suggests that many are using line of best fit and line of regression as synonyms. This is not the case; both are explicitly mentioned in the guide and candidates are expected to understand both terms.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin-top: 0cm;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">Question 9: Linear regression.</span></p>
<p style="margin-top: 0cm; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; widows: 2; -webkit-text-stroke-width: 0px; word-spacing: 0px;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">The correct means were usually written down. Many candidates drew a line of best fit that did not go through their \((\bar x,\,\,\bar y)\). Almost all candidates were able to use the line of best fit (either the one they had drawn or the regression line found using their GDC) to make a reasonable estimate. Feedback from teachers suggests that many are using line of best fit and line of regression as synonyms. This is not the case; both are explicitly mentioned in the guide and candidates are expected to understand both terms.</span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p style="margin-top: 0cm;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">Question 9: Linear regression.</span></p>
<p style="margin-top: 0cm; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; text-align: start; widows: 2; -webkit-text-stroke-width: 0px; word-spacing: 0px;"><span style="font-size: 11.0pt; font-family: 'Arial','sans-serif'; color: #3f3f3f;">The correct means were usually written down. Many candidates drew a line of best fit that did not go through their \((\bar x,\,\,\bar y)\). Almost all candidates were able to use the line of best fit (either the one they had drawn or the regression line found using their GDC) to make a reasonable estimate. Feedback from teachers suggests that many are using line of best fit and line of regression as synonyms. This is not the case; both are explicitly mentioned in the guide and candidates are expected to understand both terms.</span></p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br>