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</div><h2>SL Paper 3</h2><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
</div>
<div class="specification">
<p class="p1">The half-life of Au-189 is 8.84 minutes. A freshly prepared sample of the isotope has an activity of 124Bq.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A nucleus of a radioactive isotope of gold (Au-189) emits a neutrino in the decay to a nucleus of an isotope of platinum (Pt).</p>
<p class="p1">In the nuclear reaction equation below, state the name of the particle X and identify the nucleon number \(A\) and proton number \(Z\) of the nucleus of the isotope of platinum.</p>
<p class="p1">\[_{\;79}^{189}Au \to _Z^APt + X + v\]</p>
<p class="p1">X:</p>
<p class="p1"><em>A</em>:</p>
<p class="p1"><em>Z</em>:</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">(i) <span class="Apple-converted-space"> </span>Calculate the decay constant of Au-189.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Determine the activity of the sample after 12.0 min.</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 class="p1"><em>X</em>: positron <strong><em>or</em></strong> \({\beta ^ + }\);</p>
<p class="p1"><em>A</em>: 189 and <em>Z</em>: 78; <em>(both responses needed)</em></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>\(0.0784{\text{ mi}}{{\text{n}}^{ - 1}}\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>recognize to use \(A = {A_0}{e^{ - \lambda t}}\);</p>
<p class="p1">\(A = 48.4{\text{ Bq}}\);</p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for bald correct answer.</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 class="p1">A surprisingly large number of candidates were unable to correctly identify the products of beta plus decay.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Unit errors were often made in (i) and in (ii) there was often some very strange arithmetic to be seen.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
<p class="p1">In a particular nuclear medical imaging technique, carbon-11 \((_{\;6}^{11}{\text{C}})\) is used. It is radioactive and decays through \({\beta ^ + }\) decay to boron (B).</p>
</div>
<div class="specification">
<p class="p1">The half-life of carbon-11 is 20.3 minutes.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Identify the numbers and the particle to complete the decay equation.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-04_om_15.09.19.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/07.a.i"></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 class="p1">State the nature of the \({\beta ^ + }\) particle.</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 class="p1">Outline a method for measuring the half-life of an isotope, such as the half-life of carbon-11.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the law of radioactive decay.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Derive the relationship between the half-life \({T_{\frac{1}{2}}}\) and the decay constant <span class="s1">\(\lambda \) </span>, using the law of radioactive decay.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the number of nuclei of carbon-11 that will produce an activity of \(4.2 \times {10^{20}}{\text{ Bq}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iv.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\left( {_{\;6}^{11}{\text{C}} \to _{\;5}^{11}{\text{B}} + _{ + 1}^{\;\;0}{\beta ^ + } + v{\text{ (or neutrino)}}} \right)\)</p>
<p class="p1">\(_{\;6}^{11}{\text{C}} \to _{\;5}^{11}{\text{B}} + _{ + 1}^{\;\;0}{\beta ^ + }\);</p>
<p class="p1">v (or neutrino);</p>
<p class="p1"><em>Award </em><strong><em>[1] </em></strong><em>for all the correct numbers and </em><strong><em>[1] </em></strong><em>for the neutrino.</em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">positron / antielectron / lepton;</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">measure activity as a function of time;</p>
<p class="p1">create a graph of activity with time, and estimate half-life from the graph;</p>
<p class="p1">make at least three estimates of half-life from the graph and take mean;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">measure activity as a function of time;</p>
<p class="p1">create a graph of ln(A) with time, find the decay constant <span class="s1">\(\lambda \) </span>from the gradient;</p>
<p class="p1">estimate the half-life using \({T_{\frac{1}{2}}} = \frac{{\ln 2}}{\lambda }\);</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">the rate of decay is proportional to the amount of (radioactive) material remaining;</p>
<p class="p1">the number of undecayed nuclei at time \(t\) is given by \(N = {N_0}{e^{ - \lambda t}}\), where \({N_0}\) is the number of undecayed nuclei at time \(t = 0\) and \(\lambda \) is the decay constant;</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{{N_0}}}{2} = {N_0}{e^{ - {T_{\frac{1}{2}}}}}\);</p>
<p>\(\ln \left( {\frac{1}{2}} \right) = - \lambda {T_{\frac{1}{2}}}\) so \({T_{\frac{1}{2}}} = \frac{{\ln 2}}{\lambda }\);</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \frac{{\ln 2}}{{60 \times 20.3}}{\text{ }}( = 5.69 \times {10^{ - 4}}{s^{ - 1}})\);</p>
<p>\(\frac{A}{\lambda } = \frac{{4.2 \times {{10}^{20}}}}{{5.69 \times {{10}^{ - 4}}}} = 7.4 \times {10^{23}}\);</p>
<div class="question_part_label">b.iv.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(a)(i) was well answered.</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(a)(ii) was well answered.</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b)(i) was poorly answered, with many referring to measurement of the loss of mass of the sample.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b)(ii) was very poorly answered.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Most did not use the law of radioactive decay, as required in (b)(iii).</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b)(iv) was either very well answered or very poorly answered.</p>
<div class="question_part_label">b.iv.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about wave–particle duality.</p>
</div>
<div class="specification">
<p class="p1">A particle of mass \({\text{6.4}} \times {\text{1}}{{\text{0}}^{ - {\text{27}}}}{\text{ kg}}\) and charge \(3.2 \times {10^{ - 19}}{\text{ C}}\) is accelerated from rest through a potential difference of 25 kV.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe what is meant by the de Broglie hypothesis.</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">(i) Calculate the kinetic energy of the particle.</p>
<p class="p1">(ii) Determine the de Broglie wavelength of the particle.</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>all particles have an associated wavelength / <em>OWTTE</em>;</p>
<p>wavelength given by \(\lambda = \frac{h}{p}\), where \(h\) is Planck’s constant and \(p\) is momentum;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \({E_{\text{K}}}( = 3.2 \times {10^{ - 19}} \times 25 \times {10^3}) = 8.0 \times {10^{ - 15}}{\text{ (J)}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)50 (keV);</p>
<p>(ii) use of \({E_{\text{K}}} = \frac{{{p^2}}}{{2m}}\)\(\,\,\,\)and\(\,\,\,\)\(p = \frac{h}{\lambda }\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)use of \({E_{\text{K}}} = \frac{1}{2}m{v^2}\)\(\,\,\,\)and\(\,\,\,\)\(p = mv = \frac{h}{\lambda }\);</p>
<p>\(p = 1.0 \times {10^{ - 20}}{\text{ (Ns)}}\);</p>
<p>\(\lambda = \left( {\frac{h}{p} = } \right){\text{ }}6.6 \times {10^{ - 14}}{\text{ (m)}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(6.5 \times {10^{ - 14}}{\text{ (m)}}\);</p>
<p><em>Award </em><strong><em>[3] </em></strong><em>for a bald correct answer.</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 class="p1">The de Broglie hypothesis was sometimes stated poorly and symbols sometimes not defined.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">In (i) the kintetic energy was usually correct, but in (ii) far fewer correct answers were seen due to both algebraic and arithmetic errors. A common mistake was to treat the de Broglie wavelength as electromagnetic.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about nuclear physics and radioactive decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>decay constant.</em></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>A sample of 1.6 mol of the radioactive nuclide radon-210 \(\left( {{}_{86}^{210}{\rm{Rn}}} \right)\) decays into polonium-206 \(\left( {{}_{84}^{206}{\rm{Po}}} \right)\) with the production of one other particle.</p>
<p>\[{}_{86}^{210}{\rm{Rn}} \to {}_{84}^{206}{\rm{Po + X}}\]</p>
<p>(i) Identify particle X.<br>(ii) The radioactive decay constant of radon-210 is 8.0×10<sup>–5</sup>s<sup>–1</sup>. Determine the time required to produce 1.1 mol of polonium-206.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Particle X has an initial kinetic energy of 6.2MeV after the decay in (b). In a scattering experiment, particle X is aimed head-on at a stationary gold-197 \(\left( {{}_{76}^{197}{\rm{Au}}} \right)\) nucleus.</p>
<p>Determine the distance of closest approach of particle X to the Au nucleus.</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>the probability of decay of a nucleus per unit time;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) alpha particle / helium nucleus;</p>
<p>(ii) number of Po nuclei produced=number of Rn nuclei decayed <em>(seen or implied)</em>;<br>\(0.5 = 1.6{e^{ - \lambda t}}\);<br>\(t = \left( { - \frac{{\ln \frac{{0.5}}{{1.6}}}}{\lambda } = } \right)\frac{{1.163}}{{8.0 \times {{10}^{ - 5}}}}\);<br>1.5×10<sup>4</sup>(s);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>initial kinetic energy=electric potential energy at closest distance;<br>kinetic energy \(E = \left( {6.2 \times {{10}^6} \times 1.6 \times {{10}^{ - 19}} = } \right)9.9 \times {10^{ - 13}}\left( {\rm{J}} \right)\);<br>\(d = k\frac{{{q_1}{q_2}}}{E} = 8.99 \times {10^9}\frac{{2 \times 79 \times {{\left[ {1.6 \times {{10}^{ - 19}}} \right]}^2}}}{{9.9 \times {{10}^{ - 13}}}}\left( {\rm{m}} \right)\) <em><strong>or</strong></em> \( = 3.7 \times {10^{ - 14}}\left( {\rm{m}} \right)\);</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>This question is about radioactive decay.</p>
<p>A nucleus of magnesium-23 decays forming a nucleus of sodium-23 with the emission of an electron neutrino and a β<sup>+</sup> particle.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the existence of neutrinos was hypothesized to account for the energy spectrum of beta decay.</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>The decay constant for magnesium-23 is 0.061 s<sup>−1</sup>. Calculate the time taken for the number of magnesium-23 nuclei to fall to 12.5% of its initial value.</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;">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">spectrum of beta decay is continuous; <br>with a maximum value of energy;<br>the resulting energy difference between energy of any </span>β<span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">(</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">+</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">) </span><span style="font-size: 11.000000pt; font-family: 'Arial';">and maximum β<span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">(</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">+</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">)</span></span> <span style="font-size: 11.000000pt; font-family: 'Arial';">energy is accounted for by the energy of the neutrino / reference to energy difference between parent energy level and excited energy level of daughter; </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 7">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">\({{\text{T}}_{\frac{1}{2}}} = \frac{{{\text{In}}2}}{{0.061}} = 11.4\left( {\text{s}} \right)\);<br>\(\left( {N = \frac{1}{8}{N_0}{\text{ so}}} \right)t = \left( {3{T_{\frac{1}{2}}} = } \right)34\left( {\text{s}} \right)\)<br></span></p>
<p><em><strong><span style="font-size: 11pt; font-family: 'Arial';">or</span></strong></em></p>
<p><span style="font-size: 11pt; font-family: 'Arial';">\(t = - \frac{{{\text{In}}0.125}}{{0.061}}\);<br>t=34(s);<br></span></p>
</div>
</div>
</div>
</div>
</div>
</div>
<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">This question is about the wave nature of matter.</p>
</div>
<div class="specification">
<p class="p1">In 1927 Davisson and Germer tested the de Broglie hypothesis. They directed a beam of electrons onto a nickel crystal as shown in the diagram. The experiment was carried out in a vacuum.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_15.34.04.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/05.b"></p>
<p class="p1"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe wave-particle duality in relation to the de Broglie hypothesis.</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">The electrons were accelerated through a potential difference of 54 V. Show that the associated de Broglie wavelength for the electrons is about \(2 \times {10^{ - 10}}{\text{ m}}\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The electron detector recorded a large number of electrons at a particular scattering angle \(\theta \). Explain why a maximum in the number of scattered electrons is observed at a particular angle.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a particle with momentum has a wavelength ;</p>
<p>where \(\lambda = \frac{h}{p}\) and wavelength is \(\lambda \), momentum is \(p\) and Planck’s constant is \(h\);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(p = \sqrt {2{m_{\text{e}}} \times eV} = \sqrt {2 \times 9.11 \times {{10}^{ - 31}} \times 1.60 \times {{10}^{ - 19}} \times 54} {\text{ }}( = 3.97 \times {10^{ - 24}}{\text{ kg}}\,{\text{m}}\,{{\text{s}}^{ - 1}})\);</p>
<p>\(\lambda = \left( {\frac{h}{{\sqrt {2{m_{\text{e}}} \times eV} }} = \frac{{6.63 \times {{10}^{ - 34}}}}{{3.97 \times {{10}^{ - 24}}}} = } \right){\text{ }}1.7 \times {10^{ - 10}}{\text{ m}}\); }</p>
<p><em>(must see 2</em>+ <em>significant figures to award this mark)</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">electrons scatter off the periodic structure of the nickel lattice;</p>
<p class="p1">separation of ions/atoms is such that diffraction occurs (leading to a maximum in the intensity of scattered electrons);</p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(a) was usually well answered.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b)(i) was either well answered or incorrect.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(b)(ii) was very poorly answered.</p>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the photoelectric effect.</p>
<p>In a photoelectric experiment, light of wavelength 450 nm is incident on a sodium surface. The work function for sodium is 2.4 eV.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Calculate, in eV, the maximum kinetic energy of the emitted electrons.</p>
<p>(ii) The number of electrons leaving the sodium surface per second is 2 \( \times \) 10<sup>15</sup>. Calculate the current leaving the sodium surface.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The wavelength of the light incident on the sodium surface is decreased without changing its intensity. Explain why the number of electrons emitted from the sodium will decrease.</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;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) photon energy \( = \left( {\frac{{hc}}{\lambda } = \frac{{6.63 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{450 \times {{10}^{ - 9}}}} = } \right)4.4 \times {10^{ - 19}}\left( {\rm{J}} \right)\);<br>=2.76(eV) ;<br>2.76 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">- </span><span style="font-size: 11.000000pt; font-family: 'Arial';">2.4 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 11.000000pt; font-family: 'Arial';">0.36 (eV) </span><span style="font-size: 11.000000pt; font-family: 'Arial,Bold';">;<br><em>A</em></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">ward </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[3] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for a bald correct answer.<br> Award </span><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';"><strong>[1 max]</strong> </span><span style="font-size: 11pt; font-family: 'Arial,Italic';">if the energy of the photon is not converted from Joules to eV (giving E</span><span style="font-size: 7pt; font-family: 'Arial'; vertical-align: -3pt;">K </span><span style="font-size: 11pt; font-family: 'SymbolMT';">=-</span><span style="font-size: 11pt; font-family: 'Arial,Italic';">2.4 eV ). </span></em></p>
</div>
</div>
</div>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) 2</span>×<span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">15</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">×</span><span style="font-size: 11.000000pt; font-family: 'Arial';">1.6</span>×<span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">19 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">;<br>3</span>×<span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">4 </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">(A);<br><em>Award </em></span><strong><em><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[2] </span></em></strong><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>for a bald correct answer.</em> </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 7">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">light consists of photons;<br> frequency of photons increases so energy of photons increases;<br> same intensity of radiation means fewer photons;<br> fewer photons means fewer (photo)electrons;<br> (the emitted number of electrons falls) </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 32">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In part (a)(i) many correct answers were seen, however there were quite a few mistakes in converting the photon energy to eV. Part (a)(ii) was easy, but some candidates thought that the KE of the electrons needed to be used.<br></span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 32">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">Candidates found (b) difficult as the answer is slightly counter-intuitive. Very few candidates seemed to know that equal intensity of light means equal total photon energy per second. Many assumed it meant equal number of photons per second. The answers were mostly disorganised and did not reflect a logical scientific argument that would be expected at this level. </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about quantum physics.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the de Broglie hypothesis.</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>An electron is accelerated from rest through a potential difference of 5.0 kV.</p>
<p>(i) Calculate the momentum of the electron after acceleration.<br>(ii) Calculate the wavelength of the electron.<br>(iii) Determine the energy of a photon that has the same wavelength as the electron in (b)(ii).</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The momentum of the electron is known precisely. Deduce that all the information on its position is lost.</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>With reference to Schrödinger’s model, state the meaning of the amplitude of the wavefunction for the electron.</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>all particles have an associated wavelength/behave like waves;<br>with \(\lambda = \frac{h}{p}\) and symbols defined/described using terms;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(p = \left( {\sqrt {2mE} = \sqrt {2meV} = } \right)\sqrt {2 \times 9.11 \times {{10}^{ - 31}} \times 1.6 \times {{10}^{ - 19}} \times 5.0 \times {{10}^3}} \);<br>\( = 3.8 \times {10^{ - 23}}\left( {{\rm{Ns}}} \right)\);</p>
<p><em><strong>or</strong></em></p>
<p>\(v = \left( {\sqrt {\frac{{2eV}}{m}} = } \right)\sqrt {\frac{{2 \times 1.6 \times {{10}^{ - 19}} \times 5.0 \times {{10}^3}}}{{9.11 \times {{10}^{ - 31}}}}} \);</p>
<p>\(p = (mv = )3.8 \times {10^{ - 23}}(Ns)\);</p>
<p>(ii) \(\lambda = \left( {\frac{h}{p} = } \right)\frac{{6.63 \times {{10}^{ - 34}}}}{{3.8 \times {{10}^{ - 23}}}}\);<br>=1.7×10<sup>-11</sup>m;<br><em>This is a question testing units for this option. Do not award second marking point for an incorrect or missing unit.</em></p>
<p>(iii) \(E = \left( {hf = \frac{{hc}}{\lambda } = } \right)\frac{{6.63 \times {{10}^{ - 34}} \times 3.0 \times {{10}^8}}}{{1.7 \times {{10}^{ - 11}}}}\);<br>E=1.2×10<sup>-14</sup>(J);</p>
<p><strong><em>or</em></strong></p>
<p>\(E = (cp = )3.0 \times {10^8} \times 3.8 \times {10^{ - 23}}\);</p>
<p>\(E = 1.2 \times {10^{ - 14}}(J)\);<br><em>Allow ECF from (b)(ii).</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>reference to the Heisenberg uncertainty principle / \(\Delta x\Delta p \ge \frac{h}{{4\pi }}\);<br>Δ<em>p </em>= 0 implies Δ<em>x</em> is large /Δ<em>x</em>=∞;</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the (square of the) amplitude gives the probability of finding the electron at a given point in space;</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 class="p1">This question is about the photoelectric effect.</p>
<p class="p1">When light is incident on a clean metal surface, electrons can be emitted through the photoelectric effect.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_09.55.29.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/05"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline how the Einstein model is used to explain the photoelectric effect.</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">State why, although the incident light is monochromatic, the energies of the emitted electrons vary.</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">Explain why no electrons are emitted if the frequency of the incident light is less than a certain value, no matter how intense the light.</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">For monochromatic light of wavelength 620 nm a stopping potential of 1.75 V is required. Determine the minimum energy required to emit an electron from the metal surface.</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">light made of photons of energy \(E = hf\);</p>
<p class="p1">electrons are released immediately from the metal;</p>
<p class="p1">if electron gains sufficient energy (from a photon);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">different electrons may be bound by a different amount of energy to the metal;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">insufficient photon energy to eject surface electrons;</p>
<p class="p1">greater intensity means more photons but still none with enough energy;</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({E_{\max }} = (1.75 \times 1.60 \times {10^{ - 19}} = ){\text{ }}2.80 \times {10^{ - 19}}{\text{ (J)}}\);</p>
<p>\(\phi = \left( {hf - {E_{\max }} = 6.63 \times {{10}^{ - 34}} \times \frac{{3.00 \times {{10}^8}}}{{620 \times {{10}^{ - 9}}}} - 2.80 \times {{10}^{ - 19}} = } \right){\text{ }}4.1 \times {10^{ - 20}}{\text{ (J)}}\);</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 class="p1">The general idea of the photon explanation of the photoelectric effect was well known, but only a few clearly referred to photon energy transfer. Very few could explain why monochromatic light gives varied electron energies, most referring to various frequencies of light as the reason. The common mistake was the electron gaining different amounts of energy from different frequencies (despite monochromatic being stated in the question). While threshold frequency was well understood the effect of intensity was usually overlooked. The calculation was usually well attempted.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The general idea of the photon explanation of the photoelectric effect was well known, but only a few clearly referred to photon energy transfer. Very few could explain why monochromatic light gives varied electron energies, most referring to various frequencies of light as the reason. The common mistake was the electron gaining different amounts of energy from different frequencies (despite monochromatic being stated in the question). While threshold frequency was well understood the effect of intensity was usually overlooked. The calculation was usually well attempted.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The general idea of the photon explanation of the photoelectric effect was well known, but only a few clearly referred to photon energy transfer. Very few could explain why monochromatic light gives varied electron energies, most referring to various frequencies of light as the reason. The common mistake was the electron gaining different amounts of energy from different frequencies (despite monochromatic being stated in the question). While threshold frequency was well understood the effect of intensity was usually overlooked. The calculation was usually well attempted.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The general idea of the photon explanation of the photoelectric effect was well known, but only a few clearly referred to photon energy transfer. Very few could explain why monochromatic light gives varied electron energies, most referring to various frequencies of light as the reason. The common mistake was the electron gaining different amounts of energy from different frequencies (despite monochromatic being stated in the question). While threshold frequency was well understood the effect of intensity was usually overlooked. The calculation was usually well attempted.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about energy level transitions.</p>
<p class="p1">Some of the electron energy levels for a hydrogen atom are shown.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_10.12.30.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/06"></p>
</div>
<div class="specification">
<p class="p1">A hydrogen atom is excited to the \( - 1.51{\text{ eV}}\) level.</p>
</div>
<div class="specification">
<p class="p1">Monochromatic radiation is incident on gaseous hydrogen. All the hydrogen atoms are in the ground state. Describe what could happen to the radiation and to the hydrogen atoms if the incident photon energy is equal to</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">On the diagram, label using arrows all the possible transitions that might occur as the hydrogen atom returns to the ground state.</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 class="p1">State the energy in eV of the maximum wavelength photon emitted as the hydrogen atom returns to the ground state.</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 class="p1">10.2 eV.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">9.0 eV.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">only the three correct arrows on diagram;</p>
<p class="p1"><em>(–1.51 to –3.40, –1.15 to –13.6 and –3.40 to –13.6) </em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">1.89 eV; <em>(allow ECF from diagram) </em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">photon is absorbed;</p>
<p class="p1">electron (in a hydrogen atom) raised to higher/–3.40 eV/excited state;</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">no absorption / photon pass through;</p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">The hydrogen atom energy diagram was generally well-answered. The energy of the maximum wavelength was usually confused with the maximum frequency. The description of the photons of different energies were usually answered incompletely, not referring to both the radiation and the hydrogen atoms. A number of candidates referred to hydrogen atoms jumping energy levels, rather than electrons.</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The hydrogen atom energy diagram was generally well-answered. The energy of the maximum wavelength was usually confused with the maximum frequency. The description of the photons of different energies were usually answered incompletely, not referring to both the radiation and the hydrogen atoms. A number of candidates referred to hydrogen atoms jumping energy levels, rather than electrons.</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The hydrogen atom energy diagram was generally well-answered. The energy of the maximum wavelength was usually confused with the maximum frequency. The description of the photons of different energies were usually answered incompletely, not referring to both the radiation and the hydrogen atoms. A number of candidates referred to hydrogen atoms jumping energy levels, rather than electrons.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The hydrogen atom energy diagram was generally well-answered. The energy of the maximum wavelength was usually confused with the maximum frequency. The description of the photons of different energies were usually answered incompletely, not referring to both the radiation and the hydrogen atoms. A number of candidates referred to hydrogen atoms jumping energy levels, rather than electrons.</p>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about radioactive decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define the <em>decay constant </em>of a radioactive isotope.</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">Show that the decay constant \(\lambda \) is related to the half-life \({T_{\frac{1}{2}}}\) by the expression</p>
<p class="p1">\[\lambda {T_{\frac{1}{2}}} = \ln 2.\]</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">Strontium-90 is a radioactive isotope with a half-life of 28 years. Calculate the time taken for 65% of the strontium-90 nuclei in a sample of the isotope to decay.</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 class="p1">probability of decay (of a nucleus) per unit time;</p>
<p class="p1"><em>Accept </em>\(\frac{A}{N}\)<em> with symbols defined.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(N = {N_0}{{\text{e}}^{ - \lambda t}}\) and \(N = \frac{{{N_0}}}{2}\) when \(t = {T_{\frac{1}{2}}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(\frac{{{N_0}}}{2} = {N_0}{{\text{e}}^{ - \lambda {T_{\frac{1}{2}}}}}\);</p>
<p class="p1">\(\frac{1}{2} = {{\text{e}}^{ - \lambda {T_{\frac{1}{2}}}}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(2 = {{\text{e}}^{\lambda {T_{\frac{1}{2}}}}}\);</p>
<p class="p1">\(\left( {{\text{so }}\ln 2 = \lambda {T_{\frac{1}{2}}}} \right)\)</p>
<p class="p1"><em>Answer given, award marks for correct working only.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \frac{{\ln 2}}{{28}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(0.025\left( {{{\text{y}}^{ - 1}}} \right]\);</p>
<p>\(0.35 = {{\text{e}}^{ - 0.025t}}\);</p>
<p>\(t = 42{\text{ (years)}}\);</p>
<p><em>Award </em><strong><em>[3] </em></strong><em>for a bald correct answer.</em></p>
<p><em>Award </em><strong><em>[2 max] </em></strong><em>for an answer of 17 years (using 0.65 instead of 0.35).</em></p>
<p><strong><em>or</em></strong></p>
<p>\(0.35 = {\left[ {\frac{1}{2}} \right]^x}\) where \(x = \frac{t}{{{T_{\frac{1}{2}}}}}\);</p>
<p>\(\frac{t}{{{T_{\frac{1}{2}}}}} = 1.5\);</p>
<p>\(t = 42{\text{ (years)}}\);</p>
<p><em>Award </em><strong><em>[3] </em></strong><em>for a bald correct answer.</em></p>
<p><em>Award </em><strong><em>[2 max] </em></strong><em>for an answer of 17 years (using 0.65 instead of 0.35).</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 class="p1">(a) was an easy mark.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">In (b) about half of the candidates could derive the relationship between half-life and decay constant, but many were completely lost.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The half-life calculation in (c) was generally well done, but a common mistake was to use 0.65 as the fraction remaining.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about wave–particle duality.</p>
</div>
<div class="specification">
<p class="p1">In the photoelectric effect, electrons are not emitted from the surface of a metal if the frequency of the incident light is below a certain value called the threshold frequency.</p>
</div>
<div class="specification">
<p class="p1">Light of frequency \(1.0 \times {10^{15}}{\text{ Hz}}\) is incident on the surface of a metal. The work function of the metal is \(3.2 \times {10^{ - 19}}{\text{ J}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Explain, with reference to the Einstein model of the photoelectric effect, the existence of the threshold frequency.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>State, with reference to your answer in (a)(i), the reason why the threshold frequency is different for different metals.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Show that the maximum kinetic energy of the emitted electrons is \(3.4 \times {10^{ - 19}}{\text{ J}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Determine the de Broglie wavelength of the electrons in (b)(i).</p>
<div class="marks">[5]</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">(i) <span class="Apple-converted-space"> </span>light consists of photons/quanta;</p>
<p class="p1">a certain minimum amount of energy (the work function) is required to remove an electron from the metal;</p>
<p class="p1">if the photon energy is below this energy/work function no electrons will be emitted;</p>
<p class="p1">the energy of the photons is proportional to the frequency / \(E = hf\) (with terms defined);</p>
<p class="p1"><em>If work function is mentioned it must be defined to award </em><strong><em>[4]</em></strong><em>.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>different metals need a different amount of minimum energy for electrons to be removed;</p>
<p class="p1"><em>Accept answers in terms of work function if defined either here or in (a)(i).</em></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>\(K{E_{\max }} = hf - \phi \);</p>
<p class="p1">\( = 6.6 \times {10^{ - 34}} \times 1.0 \times {10^{15}} - 3.2 \times {10^{ - 19}}\);</p>
<p class="p1">\( = 3.4 \times {10^{ - 19}}{\text{ J}}\)</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>use of \(E = \frac{{{p^2}}}{{2m}}\) and \(p = \frac{h}{\lambda }\)\(\,\,\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\,\,\)use of \(v = \sqrt {\frac{{2E}}{m}} \) and \(p = mv = \frac{h}{\lambda }\);</p>
<p>to give \(\lambda = \frac{h}{{\sqrt {2mE} }}\);</p>
<p>\(\lambda = 8.4 \times {10^{ - 10}}{\text{ m}}\);</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 class="p1">In (a) (i) many candidates showed clearly that they understood the concept of the Einstein model and the existence of a threshold frequency. However, a significant minority of candidates had very little understanding of the topic. Those who answered (i) well had no problem in answering part (ii) correctly.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The problem on maximum kinetic energy was often done well but the standard calculation of the de Broglie wavelength was often done poorly with many candidates unable to make a start.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about nuclear energy levels and nuclear decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The isotope bismuth-212 undergoes α-decay to an isotope of thallium. In this decay a gamma-ray photon is also produced. The isotope potassium-40 undergoes β<sup>+</sup> decay to an isotope of argon.</p>
<p>Outline how the</p>
<p>(i) α particle spectrum and the gamma spectrum of the decay of bismuth-212 give evidence for the existence of discrete nuclear energy levels.</p>
<p>(ii) β<sup>+</sup> spectrum of the decay of potassium-40 led to the existence of the neutrino being postulated.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The isotope potassium-40 occurs naturally in many rock formations. In a particular sample of rock it is found that, out of the total number of argon plus potassium-40 atoms, 23% are potassium-40 atoms.</p>
<p>Determine the age of the rock sample. The decay constant for potassium-40 is 5.3×10<sup>–10</sup>yr<sup>–1</sup>.</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>(i) the α particles produced have discrete energies;<br>the gamma rays produced have discrete energies;<br>since the energies of the α particles and of the photons are determined by the difference in nuclear energy levels this implies that nuclear energy levels are also discrete;</p>
<p>(ii) the β<sup>+</sup> spectrum is continuous;<br>the neutrino was postulated to account for those β<sup>+</sup> with less energy than the maximum;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>recognize that \(\frac{N}{{{N_0}}}\)=0.23;<br>\(0.23 = {e^{ - 5.3 \times {{10}^{ - 10}}t}}\);<br><em>t</em>=2.8×10<sup>9</sup> yr;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
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<div class="column">
<p> </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about plutonium as a power source.</p>
<p>Plutonium (\({}_{94}^{238}{\rm{Pu}}\)) decays by alpha emission. The energy of the alpha particle emitted is 8.8×10<sup>–13</sup>J. The decay constant of plutonium-238 is 8.1×10<sup>–3</sup>yr<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>decay constant</em>.</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>Plutonium-238 is to be used as a power source in a space probe.</p>
<p>(i) Determine the initial activity of plutonium such that the power released by plutonium is 6.0 W.</p>
<p>(ii) The power source becomes useless when the power released decreases to 4.0 W. Determine the time, in years, for which the power source can be used in the space probe.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the probability of decay per unit time / constant of proportionality in the equation relating activity to number of nuclei;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) power \(P = {A_0} \times E \Rightarrow {A_0} = \frac{P}{E}\);<br>\({A_0} = \left( {\frac{{6.0}}{{8.8 \times {{10}^{ - 13}}}} = } \right)6.8 \times {10^{12}}{\rm{Bq}}\);</p>
<p>(ii) realization that power is proportional to activity / \(P = {P_0}{{\rm{e}}^{ - \lambda t}}\);<br>\(4.0 = 6.0{{\rm{e}}^{ - 8.1 \times {{10}^{ - 3}}t}}\);<br>taking logs to get \(\ln \frac{4}{6} = - 8.1 \times {10^{ - 3}}t\);<br>\(t = \left( {\frac{{\ln \frac{4}{6}}}{{ - 8.1 \times {{10}^{ - 3}}}} = } \right)50{\rm{yr}}\);</p>
<p><em>First marking point may be implicit in second.</em><br><em>Award <strong>[2 max]</strong> for using half-life (86 years) and linear fit to give 57 years.</em><br><em>Award <strong>[4]</strong> for correct answer by other methods.</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.</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>This question is about radioactive decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A nuclide of the isotope potassium-40 \(\left( {{}_{19}^{40}{\rm{K}}} \right)\) decays into a stable nuclide of the isotope<br>argon-40 \(\left( {{}_{18}^{40}{\rm{Ar}}} \right)\). Identify the particles X and Y in the nuclear equation below.</p>
<p>\[{}_{19}^{40}{\rm{K}} \to {}_{18}^{40}{\rm{Ar + X + Y}}\]</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>The half-life of potassium-40 is 1.3×10<sup>9</sup>yr. In a particular rock sample it is found that 85 % of the original potassium-40 nuclei have decayed. Determine the age of the rock.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the quantities that need to be measured in order to determine the half-life of a long-lived isotope such as potassium-40.</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>neutrino/<em>ν</em>;<br>positron / e<sup>+</sup> / \({}_{ + 1}^0{\rm{e}}\) / β<sup>+</sup>;<br><em>Award <strong>[1 max]</strong> for wrongly stating electron and antineutrino. Both needed for the ECF.</em><br><em>Order of answers is not important.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \left( {\frac{{\ln 2}}{{1.3 \times {{10}^9}}} = } \right)5.31 \times {10^{ - 10}}{\rm{y}}{{\rm{r}}^{ - 1}}\);<br>\(0.15 = {{\rm{e}}^{\left[ { - 5.31 \times {{10}^{ - 10}} \times t} \right]}}\);<br><em>t</em>=3.6×10<sup>9</sup>yr;<br><em>Award<strong> [3]</strong> for a bald correct answer.</em></p>
<p><em><strong>or</strong></em></p>
<p>(0.5)<sup><em>n</em></sup>=0.15;<br>\(n = \frac{{\log \left( {0.15} \right)}}{{\log \left( {0.5} \right)}} = 2.74{\rm{half - lives}}\);<br>2.74×1.3×10<sup>9</sup>=3.6×10<sup>9</sup>yr;<br><em>Award <strong>[3]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the count rate/activity of a sample;<br>the mass/number of atoms in the sample;</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">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about radioactive decay.</span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Sodium-22 undergoes </span><em><span style="font-size: 12pt; font-family: 'SymbolMT';">β</span></em><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">+ </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">decay. </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the missing entries in the following nuclear reaction.</p>
<p>\[{}_{11}^{22}{\rm{Na}} \to {}_ \ldots ^{22}{\rm{Ne}} + {}_ \ldots ^0e + {}_0^0 \ldots \]</p>
<p> </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>Define <em>half-life</em>.</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>Sodium-22 has a decay constant of 0.27 yr<sup>–1</sup>.</p>
<p>(i) Calculate, in years, the half-life of sodium-22.</p>
<p>(ii) A sample of sodium-22 has initially 5.0 × 10<sup>23</sup> atoms. Calculate the number of sodium-22 atoms remaining in the sample after 5.0 years.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\({}_{11}^{22}{\rm{Na}} \to {}_{10}^{22}{\rm{Ne}} + {}_{ + 1}^0e + {}_0^0v\)<br>\({}_{10}^{22}{\rm{Ne}}\);<br>\({}_{ + 1}^0e\) (<em>accep</em>t \({}_ + ^0e\))<br>\({}_0^0v\); (<em>award <strong>[0]</strong> for</em> \({}_0^0\bar v\))</p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>time taken for half/50% of the nuclei to decay / activity to drop by half/50%;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \({T_{\frac{1}{2}}} = \frac{{\ln 2}}{\lambda }\);<br>\(\frac{{0.693}}{{0.27{\rm{y}}{{\rm{r}}^{ - 1}}}}\)=2.6 (years);<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<p>(ii) <em>N</em>=5.0 x 10<sup>23 </sup>x e<sup>-0.27x5.0</sup>;<br><em>N</em>=1.3 x 10<sup>23;<br></sup><em>Award<strong> [2]</strong> for a bald correct answer. </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;">
<div class="page" title="Page 6">
<div class="layoutArea">
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<div class="layoutArea">
<div class="column">
<p> This question was well done in general.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
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<p>Many candidates referred to mass halving rather than activity.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
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<p> </p>
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</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the photoelectric effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the concept of a photon.</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>In the photoelectric effect there exists a threshold frequency below which no emission of photoelectrons takes place.</p>
<p>Outline how the</p>
<p>(i) wave theory of light is unable to account for this observation.</p>
<p>(ii) concepts of the photon and work function are able to account for this observation.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light of wavelength 420 nm is incident on a clean metal surface. The work function of the metal is 2.0 eV.</p>
<p>Determine the</p>
<p>(i) threshold frequency for this metal.</p>
<p>(ii) maximum kinetic energy in eV of the emitted electrons.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>light consists of discrete packets/quanta/bundles of energy/particle;<br>each photon has an energy of <em>hf</em> (where <em>h</em> is the Planck constant and <em>f</em> is the frequency of light);</p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the energy of a (em) wave depends on amplitude (not frequency);<br>so increasing the intensity should have resulted in electrons being emitted (at any frequency) / <em>OWTTE</em>;</p>
<p>(ii) the work function is the minimum energy required to eject an electron from a metal surface;<br>if the photon energy (<em>hf</em> ) is less than the work function then no emission will take place;</p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) recognizes that work function = h×threshold frequency;</p>
<p>\({f_0} = \left( {\frac{{2.0 \times 1.6 \times {{10}^{ - 19}}}}{{6.6 \times {{10}^{ - 34}}}} = } \right)4.8 \times {10^{14}}{\rm{Hz}}\);</p>
<p>(ii) recognize that maximum KE=<em>hf-hf</em><sub>0</sub> <em><strong>or</strong></em> <em>hf</em>-<em>Φ</em>;</p>
<p>\({f_0} = \left( {\frac{c}{\lambda } = \frac{{3.0 \times {{10}^8}}}{{4.2 \times {{10}^{ - 7}}}} = } \right)7.14 \times {10^{14}}{\rm{Hz}}\);<br>\(hf\left( {{\rm{eV}}} \right) = \left( {\frac{{6.6 \times {{10}^{ - 34}} \times 7.14 \times {{10}^{14}}}}{{1.6 \times {{10}^{ - 19}}}} = } \right)2.96{\rm{eV}}\);</p>
<p>max KE=(2.96–2.0=)0.96eV;</p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
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<p> </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
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<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> </p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
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<p> </p>
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</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the photoelectric effect and the de Broglie hypothesis.</p>
<p>When photons are incident on a lithium surface photoelectrons are emitted. The work function <em>φ</em> of lithium is 2.9 eV.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>work function.</em></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>Determine the maximum wavelength of the photons that can cause photoemission.</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>Calculate the momentum of an electron that has the same de Broglie wavelength as the wavelength of the photons in (b).</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;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">minimum energy/work required to remove an electron (from the surface of the substance); </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
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</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({f_{\min }} = \frac{{2.9 \times 1.6 \times {{10}^{ - 19}}}}{{6.63 \times {{10}^{ - 34}}}} = \left( {7.0 \times {{10}^{14}}} \right)\left( {{\text{Hz}}} \right)\);</p>
<p>\({\lambda _{\max }} = \left( {\frac{{3.00 \times {{10}^8}}}{{7.0 \times {{10}^{14}}}}} \right) = 4.3 \times {10^{ - 7}}\left( {\text{m}} \right)\);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">\(p = \left( {\frac{h}{{{\lambda _{\max }}}} = } \right)\frac{{6.63 \times {{10}^{ - 34}}}}{{4.3 \times {{10}^{ - 7}}}}\);<br>=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">1.5</span>×<span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 6.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">27 </span><span style="font-size: 12.000000pt; font-family: 'Arial';">(</span><span style="font-size: 11.000000pt; font-family: 'Arial';">kg ms</span><span style="font-size: 6.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">1</span><span style="font-size: 11.000000pt; font-family: 'Arial';">)</span><span style="font-size: 10.000000pt; font-family: 'Arial';">;<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Allow ECF from (b). </span></em></p>
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<p><em><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">or </span></strong></em></p>
<p><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">\(p = \left( {\frac{\phi }{c} = } \right)\frac{{2.9 \times 1.6 \times {{10}^{ - 19}}}}{{3.00 \times {{10}^8}}}\)<br>=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">1.5</span>×<span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 6.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">27 </span><span style="font-size: 12.000000pt; font-family: 'Arial';">(</span><span style="font-size: 11.000000pt; font-family: 'Arial';">kg ms</span><span style="font-size: 6.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">1</span><span style="font-size: 11.000000pt; font-family: 'Arial';">)</span><span style="font-size: 10.000000pt; font-family: 'Arial';">;<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Allow ECF from (b). </span></em></p>
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</div>
</div>
</div>
</div>
</div>
<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>This question is about radioactive decay.</p>
<p>Nitrogen-13 \(\left( {{}_7^{13}{\rm{N}}} \right)\) is an isotope that is used in medical diagnosis. The decay constant of nitrogen-13 is 1.2×10<sup>–3</sup>s<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define <em>decay constant</em>.</p>
<p>(ii) A sample of nitrogen-13 has an initial activity of 800 Bq. The sample cannot be used for diagnostic purposes if its activity becomes less than 150 Bq. Determine the time it takes for the activity of the sample to fall to 150 Bq.</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>(i) Calculate the half-life of nitrogen-13.</p>
<p>(ii) Outline how the half-life of a sample of nitrogen-13 can be measured in a laboratory.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Nitrogen-13 undergoes β+ decay. Outline the experimental evidence that suggests another particle, the neutrino, is also emitted in the decay.</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) probability that a nucleus decays in unit time;</p>
<p>(ii) \(150 = 800{e^{ - 1.2 \times {{10}^{ - 3}}t}}\);<br>1400s;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) 580 s;</p>
<p>(ii) activity/count rate measured at <span style="text-decoration: underline;">regular</span> time intervals/for at least three half-lives;<br>plot graph activity/count rate versus time;<br>detail of determination of half-life from graph;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>beta energy spectrum is continuous and associated gamma spectrum is discrete;<br>difference in energies accounted for by existence of another particle;</p>
<p><em><strong>or</strong></em></p>
<p>if another particle not present;<br>then momentum not conserved in beta decay;</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">This question is about radioactive decay.</p>
<p class="p1">Meteorites contain a small proportion of radioactive aluminium-26 \(\left( {_{{\text{13}}}^{{\text{26}}}{\text{Al}}} \right)\) in the rock.</p>
<p class="p1">The amount of \(_{{\text{13}}}^{{\text{26}}}{\text{Al}}\) is constant while the meteorite is in space due to bombardment with cosmic rays.</p>
</div>
<div class="specification">
<p class="p1">After reaching Earth, the number of radioactive decays per unit time in a meteorite sample begins to diminish with time. The half-life of aluminium-26 is \(7.2 \times {10^5}\) years.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Aluminium-26 decays into an isotope of magnesium (Mg) by \({\beta ^ + }\) decay.</p>
<p class="p1">\[_{{\text{13}}}^{{\text{26}}}{\text{Al}} \to _{\text{Y}}^{\text{X}}{\text{Mg}} + {\beta ^ + } + {\text{Z}}\]</p>
<p class="p1">Identify X, Y and Z in this nuclear decay process.</p>
<p class="p2"> </p>
<p class="p1">X:</p>
<p class="p1">Y:</p>
<p class="p1">Z:</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">Explain why the beta particles emitted from the aluminium-26 have a continuous range of energies.</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 what is meant by half-life.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A meteorite which has just fallen to Earth has an activity of 36.8 Bq. A second meteorite of the same mass, which arrived some time ago, has an activity of 11.2 Bq. Determine, in years, the time since the second meteorite arrived on Earth.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><em>X</em>: 26 and <em>Y</em>: 12; <em>(both needed for </em><strong><em>[1]</em></strong><em>)</em></p>
<p class="p1"><em>Z</em>: <em>v</em>/neutrino;</p>
<p class="p1"><em>Do not allow the antineutrino.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">total energy released is fixed;</p>
<p class="p1">neutrino carries some of this energy;</p>
<p class="p1">(leaving the beta particle with a range of energies)</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">the time taken for half the radioactive nuclides to decay / the time taken for the activity to decrease to half its initial value;</p>
<p class="p1"><em>Do not allow reference to change in weight.</em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \left( {\frac{{\ln 2}}{{7.2 \times {{10}^5}}} = } \right){\text{ }}9.63 \times {10^{ - 7}}\);</p>
<p>\(11.2 = 36.8{e^{ - (9.63 \times {{10}^{ - 7}})t}}\);</p>
<p>\(t = 1.24 \times {10^6}{\text{ (yr)}}\);</p>
<div class="question_part_label">c.ii.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well answered, although a significant minority insisted that nuclear half-life is defined by a loss of mass.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well answered, although a significant minority insisted that nuclear half-life is defined by a loss of mass.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well answered, although a significant minority insisted that nuclear half-life is defined by a loss of mass.</p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well answered, although a significant minority insisted that nuclear half-life is defined by a loss of mass.</p>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the de Broglie hypothesis.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the de Broglie hypothesis.</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>Determine the de Broglie wavelength of a proton that has been accelerated from rest through a potential difference of 1.2 kV.</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>Explain why a precise knowledge of the de Broglie wavelength of the proton implies that its position cannot be observed.</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>particles have an associated wavelength;<br>wavelength=\(\frac{h}{{mv}}\) or \(\frac{h}{{p}}\); <em>(symbols must be defined)</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \frac{h}{{\sqrt {2{\rm{meV}}} }}\);<br>8.3×10<sup>−13</sup>m;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(Heisenberg suggests that) Δ<em>p</em>Δ<em>x</em> is a constant <em><strong>or </strong></em>\( \ge \frac{h}{{4\pi }}\); <br>if <em>λ</em> is known then Δ<em>p</em> is zero therefore uncertainty in position Δ<em>x</em> is infinite/very large;<br><em>Award <strong>[1 max]</strong> if Δp and Δx not defined.</em></p>
<p><em><strong>or</strong></em></p>
<p>(the Uncertainty Principle states that) it is impossible to know the position and momentum of a particle at the same time;<br>if λ is precise then momentum is precise so position is not known;</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>This question is about the photoelectric effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the photoelectric effect.</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>Light of frequency 8.7×10<sup>14</sup>Hz is incident on the surface of a metal in a photocell. The surface area of the metal is 9.0×10<sup>–6</sup>m<sup>2</sup> and the intensity of the light is 1.1×10<sup>–3</sup>Wm<sup>–2</sup>.</p>
<p>(i) Deduce that the maximum possible photoelectric current in the photocell is 2.7 nA.</p>
<p>(ii) The maximum kinetic energy of photoelectrons released from the metal surface is 1.2 eV. Calculate the value of the work function of the metal.</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>ejection of electron from metal surface following absorption of em radiation/photon;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) energy of one photon = 6.67×10<sup>−34</sup>×8.7×10<sup>14</sup>(=5.8×10<sup>−19</sup>J);</p>
<p>number of electrons released from surface per second \( = \frac{{9.0 \times {{10}^{ - 6}} \times 1.1 \times {{10}^{ - 3}}}}{{5.8 \times {{10}^{ - 19}}}}\);<br>=1.7×10<sup>10</sup>;<br>current=1.7×10<sup>10</sup>×1.6×10<sup>−19</sup>;<br>= 2.7nA</p>
<p>(ii) 2.4eV <em><strong>or</strong></em> 3.9×10<sup>−19</sup>J;</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="question">
<p>This question is about neutrinos.</p>
<p>The spectrum of electron energies emitted in a typical β-decay is continuous. Describe how this observation led physicists to propose the existence of the particles now called neutrinos.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><em>Look for these points:</em><br>idea that total energy released in the decay is fixed;<br>beta particle energies are less than this value/continuous;<br>the neutrino is postulated to account for this “missing” energy;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>This question is about radioactive decay.</p>
<p>Nuclide X has a half-life that is estimated to be in the thousands of years.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the half-life of X can be determined experimentally.</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>A pure sample of X has a mass of 1.8 kg. The half-life of X is 9000 years. Determine the mass of X remaining after 25000 years.</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;">
<div class="page" title="Page 8">
<div class="layoutArea">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">measurement of mass of sample / determination of molar mass;<br>determination of number of nuclei </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">N</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">;<br> measurement of activity </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">A</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">;<br>determination of decay constant from \(\lambda = \frac{A}{N}\);<br>half-life from \({T_{\frac{1}{2}}} = \frac{{1{\rm{n}}2}}{\lambda }\);</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';"><br> </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">\(\lambda = \left( {\frac{{l{\rm{n2}}}}{{{T_{\frac{1}{2}}}}} = \frac{{l{\rm{n}}2}}{{9000}} = } \right)7.70 \times {10^{ - 5}}{\rm{y}}{{\rm{r}}^{ - 1}}\);<br>\(m = \left( {{m_0}{e^{ - \lambda t}} = } \right)1.8 \times {e^{ - 7.70 \times {{10}^{ - 5}} \times 25000}}\);<br>
<div class="page" title="Page 8">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">m</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">0.26 (kg); </span></p>
<p><em><strong><span style="font-size: 11pt; font-family: 'Arial';">or</span></strong></em></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">\(\frac{{25000}}{{9000}} = 2.77\) half-lives;<br>fractional mass left = \({\left( {\frac{1}{2}} \right)^{2.77}} = 0.15\);<br>mass left=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">1.8</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">×</span><span style="font-size: 11.000000pt; font-family: 'Arial';">0.15=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">0.26 (kg);<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[3] </span></strong></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>for a bald correct answer.</em> </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 33">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">Most candidates were very uncertain about determining a very long half-life. Part marks were often obtained for stating how half-life was obtained from the decay constant, but determination of activity and number of sample atoms was not usually mentioned. Most candidates described how the half-life of a nuclide with a short half-life can be found.</span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';"> In (b) surprisingly few candidates know the easy way to calculate fraction remaining. Find the number of half-lives passed (n). Fraction remaining = 0.5</span><span style="font-size: 6.000000pt; font-family: 'ArialMT'; vertical-align: 3.000000pt;">n</span><span style="font-size: 10.000000pt; font-family: 'ArialMT';">. This works even when n is non-integer. Most obtained at least 1 mark for finding the decay constant or the number of half-lives. Quite a few candidates assumed a proportional relationship for the non-integer part of n. </span></p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about radioactive decay.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Potassium-40 (K-40) is a radioactive isotope that occurs naturally in many different types of rock. A very small percentage of the isotope undergoes β<sup>+</sup> decay to form an isotope of argon (Ar). Construct and complete the nuclear reaction equation for this decay.</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>Overall about 10% of a sample of K-40 will decay to argon. In a particular rock sample it is found that there are 1.6×10<sup>22</sup> atoms of K-40 and 8.4×10<sup>21</sup> atoms of argon. The half-life of K-40 is 1.2×10<sup>9</sup> yr. Estimate the time elapsed since the rock sample was formed.</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>\(\left( {{}_{19}^{40}{\rm{K}} \to {}_{18}^{40}{\rm{Ar}} + {}_1^0{\beta ^ + } + v} \right)\)<br>\({{}_{18}^{40}{\rm{Ar}}}\);<br><em>v</em>; (do not accept \(\bar v\))</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>original number of K-40 atoms=(1.6×10<sup>22</sup>+[8.4×10<sup>21</sup>×10]=)1.0×10<sup>23</sup>;<br>decay constant=\(\frac{{\ln 2}}{{1.2 \times {{10}^9}}}\) <em><strong>or</strong></em> 5.8×10<sup>-10</sup>(yr<sup>-1</sup>);<br>\(1.6 \times {10^{22}} = 1.0 \times {10^{23}}{\rm{ }}{{\rm{e}}^{ - {\rm{5.8}} \times {\rm{1}}{{\rm{0}}^{ - {\rm{10}}}}t}}\);<br>to give <em>t</em>=3.2×10<sup>9</sup> (yr);<br><em>Accept any alternative method that leads to the correct answer.</em><br><em>Award <strong>[3 max]</strong> ECF after incorrect value for Nâ‚€ (eg. use of 2.44×10<sup>22</sup> to give </em><em>7.3×10<sup>22</sup> yr).</em><br><em>Award <strong>[2 max]</strong> for approximate answers (eg. 3.0×10<sup>9</sup> yr based on an estimate of </em><em>between two and three half-lives.)</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.</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">
<p>This question is about the photoelectric effect.</p>
<p>In an experiment to investigate the photoelectric effect, light of frequency ƒ is incident on the metal surface A, shown in the diagram below. A potential difference is applied between A and B. The photoelectric current is measured by a sensitive ammeter. (Note: the complete electrical circuit is not shown.)</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">When the frequency of the light is reduced to a certain value, the current measured by the ammeter becomes zero. Explain how Einstein’s photoelectric theory accounts for this observation.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="text-align: left;">light consists of photons/quanta/packets of energy;<br>each photon has energy <em>E</em>=<em>hf</em> / photon energy depends on frequency;<br>a certain amount of energy is required to eject an electron from the metal;<br>if photon energy is less than this energy, no electrons are emitted;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>This question is about the photoelectric effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Monochromatic light of different frequencies is incident on a metal surface placed in a vacuum. As the frequency is increased a value is reached at which electrons are emitted from the surface. Below this frequency, no matter how intense the light, no electrons are emitted. Outline how the</p>
<p>(i) wave theory of light is unable to account for these observations.</p>
<p>(ii) Einstein model of the photoelectric effect is able to account for these observations.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows how the maximum kinetic energy <em>E</em><sub>K</sub> of the ejected electrons in (a) varies with the frequency <em>f</em> of the incident light.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Use the graph to determine the</p>
<p>(i) Planck constant.</p>
<p>(ii) work function of the metal.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that electrons of energy 0.50 eV have a de Broglie wavelength of about 1.7×10<sup>–9</sup>m.</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>(i) electrons in the metal require a minimum amount of energy to be ejected from the metal;<br>(according to wave theory) the energy of a wave is dependent on intensity and not frequency;<br>so given enough time to absorb energy electron emission should take place at any frequency no matter what the intensity / <em>OWTTE</em>;</p>
<p>(ii) photons have energy <em>hf</em>/proportional to frequency (of the light);<br>an electron may be ejected if this energy is equal to or greater than a threshold value/work function;<br>the intensity determines the rate of release of photoelectrons, but not their energy;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) recognize that slope of graph\( = \frac{h}{e}\) <em><strong>or</strong></em> <em>h</em> (in eV s);<br>evidence of finding slope eg. \(\frac{{0.5}}{{[6.8 - 5.6] \times {{10}^{14}}}} = 4.17 \times {10^{ - 15}}\); } (accept values in the range of 4.0 to 4.2×10<sup>-15</sup>)<br>\(h = 1.6 \times {10^{ - 19}} \times 4.17 \times {10^{ - 15}} = 6.7 \times {10^{ - 34}}\left( {{\rm{Js}}} \right)\); } (accept values in the range of 6.4 and 6.7×10<sup>-34</sup>(Js))<br><em>Award <strong>[0]</strong> for an unsupported correct answer.</em></p>
<p>(ii) threshold frequency=5.6×10<sup>14</sup>(Hz);<br>work function (<em>hf</em><sub>0</sub>)=6.63×10<sup>-34</sup>×5.6×10<sup>-14</sup>=3.7×10<sup>-19</sup>(J) <em><strong>or</strong></em> 2.3(eV);<br><em>If necessary award <strong>[2]</strong> for use of ECF value of h from (b)(i).</em><br><em>Award <strong>[2]</strong> for use of any data point and W=hf-Ek giving an answer of </em><em>3.7(±0.1)×10<sup>-19</sup>(J).</em><br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use \(p = \frac{h}{\lambda }\) and \({E_{\rm{K}}} = \frac{{{p^2}}}{{2m}}\) to show that \(\lambda = \frac{h}{{\sqrt {2m{E_{\rm{K}}}} }}\); <em>(allow equivalent working)</em><br>electron kinetic energy=0.5×1.6×10<sup>-19</sup>(J) <em><strong>or</strong></em> 8.0×10<sup>-20</sup>(J);<br>\(\lambda = \left( {\frac{{6.63 \times {{10}^{ - 34}}}}{{\sqrt {2 \times 9.11 \times {{10}^{ - 31}} \times 8.0 \times {{10}^{ - 20}}} }} = } \right)1.74 \times {10^{ - 9}}\left( {\rm{m}} \right)\); }<em> (must see to three significant figures or better)</em><br>(≈1.7×10<sup>-9</sup>m)<br><em>Award marks for evidence of valid working, as the answer is given in the question.</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="specification">
<p>This question is about quarks and interactions.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how interactions in particle physics are understood in terms of exchange particles.</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>Determine whether or not strangeness is conserved in this decay.</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>The total energy of the particle represented by the dotted line is 1.2 GeV more than what is allowed by energy conservation. Determine the time interval from the emission of the particle from the s quark to its conversion into the d \({\rm{\bar d}}\) pair.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The pion is unstable and decays through the weak interaction into a neutrino and an anti-muon.</p>
<p>Draw a Feynman diagram for the decay of the pion, labelling all particles in the diagram.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>exchange particles are virtual particles/bosons;<br>that mediate/carry/transmit the weak/strong/em force between interacting particles / <em>OWTTE</em>;<br><em>Award first marking point for named bosons also, e.g. photons, W, Z, gluons.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>strangeness in initial state is –1 and zero in the final;<br>hence it is not conserved;</p>
<p><em>Award <strong>[0]</strong> for unsupported second marking point.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\Delta t \approx \frac{h}{{4\pi \Delta E}} = \frac{{6.63 \times {{10}^{ - 34}}}}{{4\pi \times 1.2 \times {{10}^9} \times 1.6 \times {{10}^{ - 19}}}}\);<br>\(\Delta t \approx 3 \times {10^{ - 25}}{\rm{s}}\);</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt></p>
<p>diagram as above;<br>correctly labelled W<sup>+</sup>;</p>
<p><em>Allow time to run vertically. Allow particle symbols. Ignore missing or wrong arrow directions.</em></p>
<div class="question_part_label">e.</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">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the photoelectric effect.</p>
<p>The diagram shows apparatus used to investigate the photoelectric effect.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When red light is incident on the metallic surface M the microammeter registers a current. Explain how a current is established in this circuit even though nothing joins M to C inside the tube.</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>The graph shows the variation with voltage <em>V</em> of the current <em>I</em> in the circuit.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The work function of the metallic surface M is 0.48 eV.</p>
<p>(i) Define <em>work function</em>.</p>
<p>(ii) State the maximum kinetic energy of an electron immediately after it has been emitted from M.</p>
<p>(iii) Calculate the energy of a photon incident on M.</p>
<p>(iv) The red light incident on M is now replaced by blue light. The number of photons incident on M per second is the same as in (b).</p>
<p>On the axes opposite, sketch a graph to show the variation with <em>V</em> of the current <em>I</em>.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the light causes emission of (photo)electrons;<br>which move (from M) to C;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the (minimum) energy required to eject an electron from the metal;</p>
<p>(ii) 1.42 eV;<br><em>Allow answer in Joules.</em></p>
<p>(iii) (1.42+0.48 )=1.90 eV;<em><br>Allow answer in Joules.</em></p>
<p>(iv) line starting to the left of where red curve starts;<br>and saturates at the same value as red;</p>
<p><img src="data:image/png;base64,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" alt></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>This question is about the photoelectric effect.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows the set up of an experiment designed to verify the Einstein model of the photoelectric effect.</p>
<p><img 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" alt></p>
<p>The tungsten electrode is positive.</p>
<p>Explain how the maximum kinetic energy of electrons ejected from the positive electrode is determined.</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>Light of frequency <em>f</em> is shone onto the tungsten electrode in (a). The potential <em>V</em><sub>s</sub> for which the photoelectric current is zero is recorded for different values of <em>f</em>.</p>
<p>(i) Using the axes below, sketch a graph of how you might expect <em>V</em><sub>s</sub> to vary with <em>f</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) State the Einstein photoelectric equation in a form that relates <em>V</em><sub>s</sub> and <em>f</em>. Define, other than the electron charge, any other symbols that you might use.</p>
<p>(iii) Outline how a graph of <em>V</em><sub>s</sub> against <em>f</em> can be used to find the Planck constant and work function of tungsten.</p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The work function of tungsten is 4.5eV. Show that the de Broglie wavelength of an electron that has this energy is about 0.6nm.</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>the potential difference is varied (using the potential divider);<br>until the current registered by the ammeter is zero;<br>the maximum kinetic energy of the (ejected) electrons is this potential times the electron charge;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i)<img 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" alt></p>
<p>straight line;<br>with non-zero intercept on <em>f</em> axis;</p>
<p>(ii) <em>V</em><sub>s</sub><em>e</em>=<em>hf</em>–<em>hf</em><sub>0</sub> <em><strong>or</strong></em> <em>V</em><sub>s</sub><em>e</em>=<em>hf</em>–<em>φ</em>;<br><em>f</em><sub>0</sub>→the frequency below which no electron emission takes place;<br>h→the Planck constant;<br><em>φ</em>→the minimum energy required to eject an electron from tungsten;<br><em>Award <strong>[2 max]</strong> if the equation is not given.</em></p>
<p>(iii) <em>Planck constant:</em> slope/gradient of graph×<em>e</em>;<br><em>work function:</em> extrapolation to intercept on <em>V</em><sub>s</sub> axis and <em>φ</em>=<em>V</em><sub>s</sub>-intercept×<em>e</em> / when <em>V</em><sub>s</sub>=0, <em>φ</em>=<em>hf</em> so intercept gives <em>f</em> when <em>V</em><sub>s</sub>=0 and <em>φ</em>=<em>h</em> (<em>f</em>-intercept);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of \(p = \frac{h}{\lambda }\) and \({E_k} = \frac{{{p^2}}}{{2m}}\);<br>\(\lambda = \frac{h}{{\sqrt {2{E_{\rm{k}}}m} }}\);<br>\( = \frac{{6.6 \times {{10}^{ - 34}}}}{{2 \times 4.5 \times 1.6 \times {{10}^{ - 19}} \times 9.1 \times {{10}^{ - 31}}}} = 5.765 \times {10^{ - 10}}{\rm{m}}\);<br>≈0.6nm</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>This question is about radioactive decay.</p>
<p>Iodine-124 (I-124) is an unstable radioisotope with proton number 53. It undergoes beta plus decay to form an isotope of tellurium (Te).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the reaction for the decay of the I-124 nuclide.</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>The graph below shows how the activity of a sample of iodine-124 changes with time.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) State the half-life of iodine-124.</p>
<p>(ii) Calculate the activity of the sample at 21 days.</p>
<p>(iii) A sample of an unknown radioisotope has a half-life twice that of iodine-124 and the same initial activity as the sample of iodine-124. On the axes opposite, draw a graph to show how the activity of the sample would change with time. Label this graph X.</p>
<p>(iv) A second sample of iodine-124 has half the initial activity as the original sample of iodine-124. On the axes opposite, draw a graph to show how the activity of this sample would change with time. Label this graph Y.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\({}_{53}^{124}{\rm{I}} \to {}_{52}^{124}{\rm{Te + }}{}_1^0\beta ^+ \);<br>\({}_0^0v/v\);<br><em>Do not allow an antineutrino.</em><br><em>Award<strong> [1 max]</strong> for </em>\({}_{53}^{124}{\rm{I}} \to {}_{54}^{124}{\rm{Te + }}{}_1^0\beta^- + \bar v\).</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) 4 days;</p>
<p>(ii) \(\lambda = \frac{{\ln 2}}{{{T_{\frac{1}{2}}}}} = \frac{{\ln 2}}{4} = \left( {0.173{\rm{da}}{{\rm{y}}^{ - 1}}} \right)\);<br>\(A = {A_0}{e^{ - \lambda t}} = 16 \times {10^7} \times {e^{ - 0.173 \times 21}}\left( {{\rm{Bq}}} \right)\);<br><em>A</em>=4.2×10<sup>6</sup>Bq; <br><em>Award <strong>[2 max]</strong> for bald answer in range </em>4.2−4.5×10<sup>6</sup> Bq<em>, or linear </em><em>interpolation between half lives giving </em>4.4×10<sup>6</sup>Bq.</p>
<p>(iii) graph passing through or near (0,16), (8,8) and (16,4) – see below;</p>
<p>(iv) graph passing through or near (0,8), (4,4) and (8,2) – see below; <br><em>Do not penalize if graph does not pass through (12,1) and (16,0.5).</em></p>
<p><em><img src="data:image/png;base64,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" alt></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
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[N/A]
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about atomic energy levels. </span></p>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how atomic spectra provide evidence for the quantization of energy in atoms.</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>Outline how the de Broglie hypothesis explains the existence of a <strong>discrete</strong> set of wavefunctions for electrons confined in a box of length<em> L</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram below shows the shape of two allowed wavefunctions <em>ѱ<sub>A</sub></em> and <em>ѱ<sub>B</sub></em> for an electron confined in a one-dimensional box of length<em> L</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) With reference to the de Broglie hypothesis, suggest which wavefunction corresponds to the larger electron energy.</p>
<p>(ii) Predict and explain which wavefunction indicates a larger probability of finding the electron near the position \(\frac{L}{2}\) in the box.</p>
<p>(iii) On the graph in (c) on page 7, sketch a possible wavefunction for the <strong>lowest</strong> energy state of the electron.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>atomic spectra have discrete line structures / only discrete frequencies/wavelengths;<br>photon energy is related to frequency/wavelength;<br>photons have discrete energies;<br>photons arise from electron transitions between energy levels;<br>which must have discrete values of energy;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>de Broglie suggests that electrons/all particles have an associated wavelength; this wave will be a stationary wave which meets the boundary conditions of the box; the stationary wave has wavelength \(\frac{{2L}}{n}\) (where <em>L</em> is the length of the box and where <em>n</em> is an integer);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) wavelength of <em>ψ<sub>A</sub></em> larger than <em>ψ<sub>B</sub></em>;<br>therefore momentum of <em>ψ<sub>B</sub></em> larger than <em>ψ<sub>A</sub></em> (from de Broglie hypothesis); therefore <em>ψ<sub>B</sub></em> has larger energy;<br><em>Award <strong>[1 max]</strong> for a bald correct answer. </em></p>
<p><strong>or</strong></p>
<p><em>ψ<sub>B</sub></em> has <em>n</em>=3, <em>ψ<sub>A</sub></em> has <em>n</em>=2;<br>E<sub>K</sub> ∝ <em>n</em><sup>2</sup>;<br>so <em>ψ<sub>B</sub> </em>corresponds to the larger energy;</p>
<p>(ii) <em>ψ<sub>A</sub></em>=0, <em>ψ<sub>B</sub></em>≠0 in the middle of the box/at \(\frac{L}{2}\);<br>so <em>ψ</em><sub>B</sub> corresponds to the larger probability since probability ∝Ι<em>ψ</em>Ι<sup>2</sup>;<br><em>Accept ∝ ψ<sup>2</sup>.</em></p>
<p><strong>or</strong></p>
<p>the probability (of finding the electron) is related to the amplitude;<br>amplitude of <em>ψ<sub>B</sub></em> is greater than amplitude of <em>ψ<sub><span style="font-size: 10.5px;">A</span></sub></em><sub> </sub>so <em>ψ<sub>B</sub></em> is more likely to be found;</p>
<p><em>Award <strong>[1 max]</strong> for a bald correct answer.</em></p>
<p>(iii)</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAskAAAHMCAYAAAAnEDXDAAAgAElEQVR4AeydB1gVRxeGPxvVBqIoNlAj9oa9xN57jEnsqRqjRv01RhOjxphuSzVRYyxRo8beQCyIDRuKXUFFVERBEQsglvs/Z3CWvcttOxRBZnzw7s7Mzpx5z+zec2dnzuQyGAwGKEF1qMTJA0lAEpAEJAFJQBKQBCQBSSAnEMilNDK3cvSSHVy8eBFTJk9BbGxsqpZF3riB8Z+OR1BQUKq0FxFx/fp1LFy4EH6+fi+iel113r93Dxs2bmT8iOHmLVt0XS8zSwKSgCQgCUgCkoAkkB0IvFRG8r179/DDDz+iRYuWaNqkKf7880/Ex8en0sPPs3/CokWLMHnylFRpmRmxft16dOvWDXV96mLC+Ak4eepkZlavu67ff5+DAQMHoaRHSQwcNAgHDhzA++++h0GD3tZdlrxAEpAEJAFJQBKQBCSBrEzgpTKSnZ2cMOZ/o7F06T/ImzevWe49evZAjZo18dZbb5nNY2oE2mxmwYQOHTtg5sxZgldn7mVbt2zFV1OnYv68efDxqYMqVSpj+Yp/UbBgQezcsQPnzp7LXIFkbZKAJCAJSAKSgCQgCWQgAfOWZAZWmlFF53luGJcsWRLlK1TA+XOmDbeGDRvCz8/Xohhz/vgDn02YYDFPWhPt7e1RoUL5tBaTKdf/OfdPlCpdCm5F3ZT6PEqUwJatWxAfn4BKlSsp8fJAEpAEJAFJQBKQBCSB7E7gpTKS00sZGzduwqmTp9KruJeinINBB+FdKbUhXL589jDyXwolyEZIApKAJCAJSAKSQKYReKmmW6QHtcOHDuHjESPSo6iXpoyY6JiXpi2yIZKAJCAJSAKSgCQgCdhCwOJI8qNHj3Dx4iUkJCYgT548KOflxeagmiv46tWryJ07N2i6AwVaSBcaFgZXF1eUKV0KfDqEOs0unx2qVK5klKYuPybmNjt1cyvCPmNiYnAlIgJly5SBm1vKq3/1NbYcxz+Mx63oW/D09FSyk4Hcv/8AJCYmKnEZcRB5PRI3bkahhHtxeJT0sKkKYnnp8mU8ffpU13XmCo+IuIromGgUKlgQFSpUMJeNxT9KemQxXSZKApKAJCAJSAKSgCTwshEwaySTJwNaANe+XXs4OTux6Qc7duxAv/798fW0rxSj9umTJ/DfsQOLFy7Crl27MHXaNHzw/nv45ZdfMXPmDCQmJBucVapWxYoVK0DG7uyffsJPs2crafQaf8XKFXAvVkzhu//AASxZvASbNm7EnD/moF3btpgxcyZ+/+13PHnyhOVr0rQpmzdcx6eOcp21A3IN99f8v7B69Wp07twZM2fNZJfs3bMXv8+Zg3x2duz8xIkT6Nu3Hzt+9913cft2DGjKwfLly1ncpi2b4VMnuV4yuCn+l19+wc2bNzFm7BiMHTuW5VP/tzswEH/MmcOifHx8sHfvPpT0sGwkx8bexVdfTcWzZwYUK+qGU6fPYE9gIOo3aIDZP81G6VKl1FVYPCY5Fy9ehI2bNqFqlaooXLgQtvr64drVq+jatSu+nDoVLi6FlTJo2gm1KykpicVduRKuMKGI4SOGo3GjRkp+eSAJSAKSgCQgCUgCksDLQsCkkbxkyRLmyWDxkiVo27aN0ta3B72NRQsXombNGujTpw+LP3bsGHOzdiDogJKPDGwyrP5bvRqbNm5ihuGZ06cxc8YMOOfPDzKsV6xciYSEBMyaOQsHg4Lww/c/YMaM6ayMCxcuICoqCocOHWIG8c1bt9CtW3cULFQQI0eNZAa7n58f9u3dy+TYtTsAtIjMWiCDM+TECYSGXmCj3Or8TZs1Bf2RYbxr507UqFEDy5YtVWfBm2++icuXL6fyr0w/It57/z2Qv+M5z41gowsB/PDjj5g1YyaGDR+OiRM/Z8lkSA/7aJg2q3JOo8c9unfH119/zWTjCf7b/DFw4ED0eq0Xtm/3tzi6z6+htwJ9+/VDyPHj7AcC/2ExatRoJtuff/yBkJAQrFu/XjGUu3btAvqjdpGburJlPVMx4eXLT0lAEpAEJAFJQBKQBF4mAibnJNOIMQXXIq5Gba1brx47DzkeosRT3Gs9e8K7ojeLI0O4dp3aGDPmf2ykdfLkSejeswdLo1FJGi2eNHkS6terh+avvoqvpn3F0o4ePaqUWbFiRVYmpVP47dff0Kt3b6xcuZKN0C5ctJCNfFIaGZL/Lkse3VUKMHNAo6Qka/MWLc3ksB7t6ORkNhMZy6YCGZlkIFMY+bHxfOd333/P1CUs7r///kOhwoWNDGRKaNuuLUqVLo2rEREIDAw0e706wd/fn/0Y+XjUKHADmdJJ5ilTJoNG5enHyd8LFqgvk8eSgCQgCUgCkoAkIAnkSAImjeT8+QswGIUKFjKC4ulZlp3z1+/qRNciyXOGBw8ZgkYNG6qT0LlTZ3ZO7sPeecd444nyXuVY2sWwMKNr1Cf9+vVlUzjUcZ99/hkcHBxYVOAe2wxFfj1vBz/P6M+lS5exKiZ+8QUKFCxoVF1l79QeI3iGtWvXoXatWvzU6LNs2WRd7A7YbRRv7mTp0uRR8QH9kqeQaPN17ZKso7Xr1mmT5LkkIAlIApKAJCAJSAI5joDJ6RbffPM1RowYYeTD98yZs1i/fr1VQPnz50+Vp3hxdxbn7JxfmcvMM/HRVz7PmMerP729k0ep1XG04G76jBkYPmwYmytM8215Wep8WeF42XMDtUeP7qnEMSfz5UuXcOTwYdBCRVr8qA12dnZo2aoVXFyNR/u1+eicFgoG7ApAufLljPwcq/O2bdsO48dPQFhoKEjXtFmIDJKAJCAJSAKSgCQgCeRUAiaNZNpFjf7IW8Wc3+fg6vVr8CxbFtVr1GBzjLMKrF69XsPYsWPYAsDYu7FZ0kgOCwtji/mIGff6YQu/wL17WTaak/zp+E9tucRsnrPnkzdVyZcveVGiqYzkZYN0zrxoXLoojWRTkGScJCAJSAKSgCQgCeQYAiaNZFpYN/unn9kc4NmzZ6HRcw8GmzZtynJgaDEZ7axnb2ef5WQjgeLu3VPkIn/D6h3rlAQTB0lJj1kseeNIa0iIj2dF3IiMtFhUCQ8PZiTb2WdNlhaFl4mSgCQgCUgCkoAkIAmkIwGTc5InTZ6C6T/+yDwZcAM5HetM16IeP05CETc3m43PdK3chsIcHRyVXP7btyvH1g4qlE+eq7179+5UnjjU1548eVJ9avK4VKnSLJ5GiY8cPmIyjzqy3PN54uo4eSwJSAKSgCQgCUgCkkBOImDSSKY5tOS7ODtsOXzp4iXUreuTZXVWulTyxiok4NSpU22Ws2XLZA8cZNjyOc2mLiZ/0tZC+XJeSpatfn7KsfbgSng4XFxdjOaia/PIc0lAEpAEJAFJQBKQBHICASMjmVyV0R/tOEcLxmjahTokPU6eAqCOy4zjhw8fmqyGNrug0KJFC5PpGRGZ39mZFRt9K9qoeGJ15coVozg6IW8W3HXe3dhYNoVFnUnLWJ3Wpk2yj+o//vgTwUeD1UnseP78v1DKhs1ESAZe1oL589lcc21hpG/Se6eOnbRJ8lwSkAQkAUlAEpAEJIEcR8DISHYp7AL6c3B0wO2YGPzy22+gTShoLi3tUjdv7jwGiDb6oLBw0SIFGG2XTMGUezglk5UDcwbj1i1bU11JPn0/HjGCLSYc0L9/qnSahkGBy6XOwI19U2ncCD565AhoE5PIyEj8/PMvyuW0yQiFX3/9VVmQd/78BYwcNRpxd+NYGvmRTnr0iG2IQhHjP01ZeDfmf2Ow8O+FIG8ctDvf+AkT2DX0H113/949lkbnX0z6gi2mo3zdu3fHe+++h+nTp+P7777HG2+8gc2bNqFDu3bK9ZYOyB81LcwjQ3jatGmpsq5evQYeJUvik0/HpUp78CD5R4q1Oc2pLpQRkoAkIAlIApKAJCAJZFMCRkYyuSOjv5GjRrHmfP/td/As64l69erhydOn+PLLL1k8bT/t5emFYm5FmUF38NAhHDp0kKUt/PtvHD0azOLJwCZ3Yt9//wNLowV2O3fuZHNsySCmUesl//zD0ui/v/7+m8VpjeUbUVHo0L4D2+3vaHAw/l3+L2ir6J49e2LZsmVGbuVoR7z58+aDpmFQ+HfFCmbk80oo/b+Vq9jp3n37cCAoyCi9W7duLI2mOdSqURNdu3ZDz9d68svZtty02QkZ0bVq1kKJ4iUwYMAADPtoKGrUTDagL4SGYtKkybgSEcGua9K0CWbPns2mMpCruwkTJrCpLK1bt2E76vHC6Tri8ej5NtBUD22c4u7uznYe3LJlC2ZMn8HKou2+582fb9R2Xo6pT3KZR5u50KYhG9ZvYAY3bYvt778dw4cNx5Ytm7F6zWqjrcHJYCde3337DSuSmLz99ttMp6Q7GSQBSUASkAQkAUlAEnhZCeQyGAyGlMalHO7eHYjDhw+horc3G63kHg9o17tcuXKhe7duoLiYmNu4EpF6mkHZMmVhZ5fPpI/fEiVKoIirK06dPp1SteqoWtWqsLe3x/9G/48ZdvPmz0Pt2rVx4EAQwsMvsykGbdq0hZtb8gYmqktBRrQ25HfOD2/viizaWjplIgNw185dLH+37t3YCKy6TDIWydCMuxeHatWrsw0/aJR2//79ePgwHq1atjBrvNIc4v379qG4e3F06NiRtYFGh6mctq1bm7yORp0D9+zBqVMn4eDgyHbMa1Cvnsm8ajnNHYeHhyMgIIBNqfH09EL16tUVPupriEPUzZvqKKNjnzp1jM7liSQgCUgCkoAkIAlIAtmbQC5FfLNGspLjBR6ojeQuXbq8QElk1ZKAJCAJSAKSgCQgCUgCLz+BFCPZaLrFy99w2UJJQBKQBCQBSUASkAQkAUnAOgFpJFtnJHNIApKAJCAJSAKSgCQgCeQwAlnaSObeJ8y5gMthupLNlQQkAUlAEpAEJAFJQBLIJAImt6XOpLrNVkMLy06cPAnabY4CeatwdS2CMmXKmFxgZrYgmSAJSAKSgCQgCUgCkoAkIAkIEMiSC/diY2MRHx+fqjn2dvZZdvvpVMLKCElAEpAEJAFJQBKQBCSBbEYgZeFeljSSsxlNKa4kIAlIApKAJCAJSAKSwEtBIMVIztJzkl8K1rIRkoAkIAlIApKAJCAJSALZjoA0krOdyqTAkoAkIAlIApKAJCAJSAIZTUAayRlNWJYvCUgCkoAkIAlIApKAJJDtCEgjOdupTAosCUgCkoAkIAlIApKAJJDRBKSRnNGEZfmSgCQgCUgCkoAkIAlIAtmOgDSSs53KpMCSgCQgCUgCkoAkIAlIAhlNIEtuJpLRjTZX/qNHj+C3bRuOHj6C+/fvo1TpUnirTx94lChh7pJsEb91y1YcPHgQI0eNgotL4WwhsxRSEpAEJAFJQBKQBCSBF0lAjiQ/p3/12jW8+867KOlREoOHDEaFV17Bjz/8iJbNW2Df3n0vUkdprvujYR/hzz//xLJlS9NclixAEpAEJAFJQBKQBCSBnEBAGskAnj55gvfefQ/e3t7w8amDkiVL4qOPhuLDoUNx7949bPXdmuX7QmzsXbMyDh36EerWq4cOHTqYzSMTJAFJIOMI3I6+hZAjB4UqiIq8JnytUIXyIklAEpAEJAFGQBrJAPYHBeHkiRPwruRt1C0mfv4Zli5bhs8mfGYUnxVPZs6cYVasceM+wcaNG1C+fHmzeWSCJCAJZAyB+3F38e7bg9Dk1RZwcy2MzevXGVW0ce1/KFuyBGZP/8Eo/kHcXQzq+yYqVvTG8BEjcGD/fqN0eSIJSAKSgCSQsQSkkQzgYFAQo+zs7GxEO0/evGjVqiWcnJ2M4rPiyerVq7OiWFImSSDHEyhQqDBGjxzJOCQmPsJ/K/81YnLgwEHcjr2LSt4VjeI7tm2F1es2wNnJEVt9t6FR48ZG6fJEEpAEJAFJIGMJSCMZQEx0TMZSzsDSY2Ju4/XXeyP2TmwG1iKLlgQkgbQQePDwoXJ5rly5lGM68PfzRYH8zmykmScsXbgAx06dZadDhwxB/kJywS1nIz8lAUlAEsgsAplqJJP3iDNnzuJocDDCwsIytI3qumhesaWQlJRkKTlNadRedYi8HsnaH/8wXh1t8pjmSp8/f4Hlvxl1M1Wem7duoddrr2Hf3r2p0rQRV69eZfOrtfHq89jYWFYXyUz8LAUumzrP5cvhOB4SYvVa9TXyWBLICQQuhl9Rmlm9to9yfOHMKZwNDcM3k78AjTjzMGnyZHbo6OCA0WM/4dHyUxKQBCQBSSATCRgZyQsXLgT9eVf0RoniJVCtWnWsWbNGEeev+X/Bx6cuS6P0Ll26wt9/u5JOHiJ+/fU31KpZC+3atcexY8eUtN9/n4NWrVrhv1WrsHnjJrze63V4eXph/PgJbOEcZSTDccGCBejWtZtSx5tvvonjx48r5dDB/gMHWN0kw+jR/wONpvJw4cIFDB82HMOGDceWLZvx/XffoWqVqmy0NXD3bp6NGZ99+/YD/e0ODGTxM2fOZOcUN2bsWOzYuRNDBg9RZFEuBkBt/e7b75Q0uoaHkydPYfKkyay9rVu1YtEbN25Et27d4ePjgy6dOqN+gwY4fOgQv8Tok4xfuv7Nt/pgxb//Yu3qNWjYqCH69+/P5KbMly9fZnmSHj9WruXt+fOPP1kcGbK+fn7o26cv6terj1AzP0wOBAVhQP8BGDtmLHbt3IkpUyajRvUajCPxVAcy2n///Xc0btIUQ4YMYUl//70QLVq0RONGjdCxfQc0a/YqLl68qL5MHksCOZpA0N7kZwxBqKKaVrFhw0Z4li6Jd4YlT8eg9OVLFuPm87dbfd5608h4ztEQZeMlAUlAEshsAgaj8MxgMDwzLFu2zFDc3d3QunVrdk5x/G+r71aWRulbtm5R4nk6ffbu/boh6mYUS0tMTDD06tWLXbNt2zYl/4kTJ5Ryli1bqsTT9Q8fPDDUqVOHpS9Zstgojdfz+WefGcaNG2eUdub0KUOzZs0MJ06eMIr/5puvWVmlSpY0nDgRYpRG5Y0eNYqlb9y4IVUayUJtpT9et/rzu+++Y2l9+vRh6RFXIwxUzogRI5TrFixYYBg+bJiB2n/k6BHDZ599xtKaNm2aqszrkddZ2wcNGmiIi7urpM+aNUspz8/PV4n/8ccflHi1XHR8+NBBw+o1qw2enmVZHqpbm+f7H75naX/88YdR2ldffcXiK77yiuH48WMs7fz5c6xtU6ZMZmnNmzc3/PDjj4YJE8YbAnYHGA4eOmj44IP3WVr/fv2MytPWK89T7inJ4uVnUdGrjMHZ0d5QvKir4VFCvHJv1K1R1TD58/HKOfWF5o3rs7yFCjgbTocEG6XJvvLy9xWpY6lj2QdedB9IMYyNRpK5gd6lcyd2ePrUKdzXTFVo1aIFHBwcWHrQ/gP8EuUz8tp1ODk5wb1YMRZ3ITRUmQ7gWsRVyVe9ejUUdnFh5yHHQ5R4OqCFcl06d2ZxwUeDjdL4yanTp/HF58ZeJ2bNmo2WLVqgerVqPBv7fOutPuzzyZMn+HvB30Zp1k6sLdpzLVLEqIjSpUqhS5cuGD9unBIfGnoBv/z6C9q2bQOfOnUwedIXLC0sNBTXr19X8tHB9B9+REJCPBvRL1iwoJJWtWpV5dh3q69ybOmA3L691rMnezNgKh/VPWvGTJb0ztuDjLKM/HgE0w9NVfn+++RV9xUrVmRt4zzPnzsHl0KF8M0336D5q6+ifr16mPDcE8j27SlvGIwKlieSQA4kcP35dKkm9Xxg9/z5Sd4raKpFwwb1FSI3IsJx5Fjy8/C1Tu1QpUYtJU0eSAKSgCQgCWQuAZNGcoGCBdG4SfJKan+NsWNnb4/mzZszKelVPr3SV4cfZ85Ao0aNlKgC+fMrx4UKFlKO6aB5i+RyTM0Jbt8x2acvTYXQzo8NDw9HEVdX5FcZkeQn2H+7P1q2Tp7eoK7IwyNlx7xjmqkb6nzpeexRqqRS3MTPJyrHdEAMa9epw+LuqBbc0XSTbf7+aNQwhR+/sHbt2ihdpgw7rVGjBo+26VNryPOL+FSaUaNHM5l4PH1SH/jhh2TjeE9gICIjI5Xk/PmTvYDQjoTvvPO2Ek8HXl6e4Mb9ubPnjNLkiSSQEwmcCUn5od++XVsFAS3Ys7PLZ7Rgb/Xz6W3uRd3w859/KXnlgSQgCUgCkkDmEzC7LXW/fv2wf99+LF26FK+99poiGRmsVyIi2HnElSvw37EDHdq3Z+e04GvdmrUIOpjsUo0iPT09ceToETx48BAVKiT76SVjcPOWzTh65KhSrvaA5rfSrnc02rp9xw507pQ8uk35lv6zFAMHGY98Bh8LRmJCImZMn4G5f87VFoeWz+cGp0rIhAhTo9GFCycv0kl6nLJo8NCRw7gdEwMasdUGN7ciOHRIbDMCbVn8fMWKFeywadMmPMros2vXLihfoTwuhl3Epk2bMXjwB0bpzs75QW7ytKGEhwdbJHj/wX1tkjyXBHIcgdDQUNZmMog/GDlWaf/69evQunlzZc4x+VOeNWsWS6d1AdKjhYJKHkgCkoAk8EIIpLZwnovRuXNnTHKbzAzlbdv80e75CMiqlaswZPBg7Nm3F2v+W40Ff/2lGMnLly/DN99+C3d3d6PG0A52FMjDwpzf5+BGVBTIAKtUuRKuXb1qlFd98vagQZg4cSKrgxvJZKQfOnwY48d/qs7KNgOhiC8mfcFe+xslZpOT488XOubJmyfDJSZPFmT8UrCzszNbHy3ipHznzhp76TB7gUyQBCQBIwL8B3EBlR/2pMRE+G7zx8wZKZsAffPVl2zB3ms9e2DAO+8blSFPJAFJQBKQBDKfgMnpFiSGvb09evbswSQio5g8SNDUik2bN6Pnaz3x3TffwKNkSewJ3APygEDGa1jYRfTp81aqViQ9eoQZM2YyDxNdu3XF338vYKPT2s07tBf2fqM3HBwdmKFOI5kUaFS5ZcuWqUYwab4xhTOnT7PP7PgfbwM3XjOyDfHxKS7oIiLM/1ApVCh5iowlQzoj5ZRlSwLZnUDzNu1B0yfuP3wImodMYfOGdSDPNF279wAZzJ+NHYXf/piLt97ojfl/6Vs3kd35SPklAUlAEsiqBMwaySTw228nzzdNTEzE6tX/wXfbNrRs2YIZ0DRntW/fvqxdv//2O3YFBKDF8znG6sbS/OEmTZth+o8/YtmypUbzldX5TB3T3NY3er/BkkYMH46bN29ixfJ/TRripUuXZvm2bNliqiglLiTEeJGgkpAFDngbdu7cmWrBpFq8vTb4RVbnN3Vc3N2d/QChtA0bN5jKYhRXTbMY0ihRnkgCkoBFAnPnzWPpndq3xYngo+BTLU4cP4bWLV/FuvUb8NsvP2H+wsXKwj6LBcpESUASkAQkgQwnYNFILl++PLwrVWJCkD/k9WvXMe8GXCry4kBhm/82BOzcxXzl8jT+SSPANKWCyqHy9IZOXZK9XJChvnHDRtyNi0s1nYPKpPnLFGhke/m/xtu+qusMOpi+83rVZaf1uMpzDxbkUeKTT42nk6jLDjlxUn0qdExziatXT14AuM3Xz6xRfif2Diu/Xv2UFfhCFcqLJIEcTKB1uw74e/48XI64isZNm2LTVl/s2rMH3Xv2xOvdu+FM6CU5xSIH9w/ZdElAEsiaBCwaySRys2ZNmeQHg4LwKOkR+PxiiqxQvhy8ypVjWyKT8Unn2nDp+aYSMTExqTxhPFRt1aq9jp/X86mreEv49ddf2QYdPE39Wdm7Eoq4ubGo/40ajWVLl6mT2TG5k7tlYue6VBk1Ebzc8+fOG6WQMXtg/36juLScVHzlFaUN9IOENulQB6pvypQv8eypsUcRdR49xx06JC+4pGvUm8Koy7h27Tr7AWJKt+p88lgSkAQsE+j++pu4GhmFub/+hMTER5j5w3dsc6CR442931guRaZKApKAJCAJZBYBq0Yyn3JB82X79x9gJBeNRg4aNJDFkYcLk54OSiS7XyOvDb/89hubu0xeMD76aBi4i7CoqCjQLnNbt241Kp9OyDPEG28mT7m4ffu2yakWPN8XE1O+bMaMGYNevXrhm6+/xtQvp7Kd9AYPGYLBHybvEqeu6MGDB+w0MvKGOlo5rl0r2VfpyJEjQbvp0dxs2vVv9KjRcCtalOU7ceIEaDEc3/1P619aKUxz8PTpUyWG5oGr2/DZhAlst7zp06djwvgJaNmyFU6dOoVBKs8ebs9/GFAhO3bsZLsWkocPmgfOA6+Df/L49957D3z0+sfp01NtW7182XKQL+Svp31lpFtTLvt4mepPW/Opr5HHksDLTiDy1m22y97A9z9EkaLJ/uRf9jbL9kkCkoAkkC0JpOwrQkemdzmZPmO6oU2b1LvvUf47d+6wHd0uX75k8nraea9r165sFza+c13btm0NtDPdr7/+qsR3796d7bRnSoawsFCW79133jFZh/qaefPmGTzLJu8wx+ujT9r17+iRlB3naCfAS5cuGub8/puyI12TJo0Np0+fNly7dtVotzvacY52nlOX9/rrvQzR0dGGufPmsXhKnzB+vIFkDQ29YLTj3uIliw137txmstMOfseOBSvl/W/0aMOlS5eM2r5o0aJUbaDdAmfNnpWq/RERVwx169ZVZKN8vr5blbqOHDmitM9UXdQG2nGQduVr1aqVYf2G9Yb9B/YbPho6lOltu7+/UicxIzZ8lz7isWPHdoUV7RAYELBLkYX0TjzpOrWO5LHp+0xyyRlcTO2yJ3WfM3Qv9Sz1LPtAdugDKZZxLjpMse5VhymR7OjI4cOgHdxMhT1796JZ0+RpGabSKW737kAcPnwIFb290bljR2VkcuXKlciVKxfbGc7USDQvj6YDlChRAtWqpew8x9O0nzSKejzkBPbv3wcnJ2c0bdoUVapUNspGUxdCw8KM4tQnVJfH81Fwiif3df7+/rhz5w4aNGyIxg0bsjYcDQ7GhfPn0b1bdzbqTV4+aDdAbVuiHUwAACAASURBVKDNT8hnNI00X4m4ok1G2TJlQb6QeaA2HDx8GDTNhUaL27VrBw8PD55s9El5yV91+OXL6NatG/gCQFvrosIo7569e3AxLIzV16xZs1RzyM0x46wib9zAjRupR+NfqVBBmTJjJLg8kQRyGIFN//2Ltwa+gz0Bu1C7fsMc1nrZXElAEpAEsgOBXIqQNhvJyhXyQBKQBCQBSUCIQLP6dRAWHoEbt2KErpcXSQKSgCQgCWQ0gRQj2eqc5IwWRZYvCUgCkkBOIHD7VhSSHj/Ba12TPfbkhDbLNkoCkoAkkJ0JyJHk7Kw9KbskIAlIApKAJCAJSAKSQDoSkCPJ6QhTFiUJSAKSgCQgCUgCkoAk8LIRkNMtXjaNyvZIApKAJCAJSAKSgCQgCaSZgDSS04xQFiAJSAKSgCQgCUgCkoAk8LIRkEbyy6ZR2R5JQBKQBCQBSUASkAQkgTQTkEZymhHKAiQBSUASkAQkAUlAEpAEXjYC0kh+2TQq2yMJSAKSgCQgCUgCkoAkkGYCedNcgizAKoEdO3eiuLs7irgWQdGibmynvju3byMp6bFybf78+ZG/QH7Ex8fjXtw9JT53ntwoVqwYO7916xaePX2mpLm6usDO3p6dR92IUuLt7PLBtUjy7n1xd+8iISFRSePX0C59d+7EKvF0ULxEcXaula1goYJwcnJKJZu6HnX9VAiv5+mTJ4iOTtk4wdHRAYUKF2b1aGXjDLSyWWLAZXtw/wEePHjAyqX/1LJp07gOtLLRdeYYcNnSQz+WGHBuWgaWZOMMtLKpGWRl/Wj7QUbpxxwDYqtOS6t+tPdpRulHe5/yPqrtO2m9f9JDP+YYqGVT64B0wu8FPfrh96+Wgfr+SQ/9mOuj6r6THvrhDLTPMPW9nVP0Y4mBtu+kRT/a56i6j2r7ji360ZbH71Pqk1x3/P6gOBmyFgFpJGeCPr6a+hXq1KmNOj4+6NGtG/IXKIAjR4/iVnS0UnuN6tVRo0YN0NbOQUFByJ07DwyGZ3B0dMJrPXuwfHv37Ud8/EPlmjatWitG3fadO5ArV27AYGCGOG1jTeH0mTO4dPmy6ppWKF6iBDOQ6ZrcuXPj2TPajtyA/v36sXxa2Ro2bIgK5csrstE24hSKPt8um46pLHXgsiUkJBillfPyQuPGjVlWrWycARnvatnIQCcGsbGxWLzkH0Rev4Y7sbFITEhAgQIFUSB/fsSyHwMJsLOzg4urC2rVqo03e/dmW4VfunwJJ06eVMTjOuCyJTNI/vFhjgGXzZp+Hj54AAP9e2ZAxYoVmTxUcUhIiFI/PSSLFi3KzqlNcffi2NbsxLVO7dpsi3J6sKoZZLR+OIO06IcapO2jvO9odVCsaFG21Tpdo+0HGaUfc32UZKA0fv94eXka9dELoWFISIgHbcvuXbEi8ubNi9OnTuPU6VN48CD5fkxMTISLiwuSkpIQGnoBT58+Zfp9nPSYXcdOzPxXxM2N3X88Ob9zfpQqXZr1Her7t2/fhoODA/Lly4dq1aqhSpXKKOHhgbNnzuJR0iPYP/+hzPtoyv2TB8+ePYWTk7PZZ4hWP5wBGRnmniEi+uH18PuHt1UtmzX92NJH+f2bwiD1881cH+WymWKglc0cA/X9o32OavVjioFWNv4c5fePKdnS4/5R6ycgIID1uZjoGMTF3QXdq/HxCbgcHs5EzpMnDxs06dixA2rWrIXSpUqqnlXPoGaglU2rH86APnmalgGXzRKD9NQP7wf0HWzt/rFFP7w83lbeD+ic8+Ft5HnkZ9YhIDcTyQRdtGjREmPHjkGXLl1srm2rry8qVKiAVypUsPmaEydOwNXVFaVKlbL5ml0BAahZrRpc2Re1bZeFhoWxjHpk27ZtG2pUr6EY9bbUxGWLjrmNOX/+iRXLlxtdRoaET10fJW53wG7cjU0ZHSfD4o0330SHDh3QsmULJZ/2IOjgQca5yPPRd226qXOun3KenrhwIRRXIiIQcfWqqawsjoyO+/cfMEPH2dlJyUej7NygUiLZSLgdypQujYfxD9GkYcMM148IA64fPX1n//79KObuzn50qdtr6VhENq4fPX2U3z83btzA8ZATiIyMxIED+xFy7Lgl8V54Gr8PvL0roVbNGqjr44MCBQuCGHTs0EGXfJyB3mdIw/r14eiU0q+tVfrP0qVQGwvW8lO6SD8Q6aMiDPTK9uD+fazbsAFtWiUPWtjSfsojIhsxsEU/J0+cxPSZM7DN189IHO9KlVCpciUl7tzZczh/7pxyTgftOrRHy5at0LVLZ+h5jq5Zuw6NGzZgAzdGBVo4EWGgVz9UfWbdP3QvcGPbQrNlUqYSSNlMRI4kZyp4WZmtBE6ePIWFC/7GtevXce3qVTRt2hSTJk9Crdq1mfHoUtiFjRJryzt+/DgSEx8h8VEi9u/bhwsXLuCTTz4BGaZdOndBv/794OHhob3M5vPYO7G4EXWDjWofOnQYgYF7UKBAAbi6FEbduj5wdnKCo6MjnJ2cQa9enZydlbLph0Lx4sXZGwMl8vkBfWkmJCaykUiaNhJ3N46Nlt++fQf/rV2HwoULw71YUXZ96VKljMrVliXPLRN49OgRwsOv4ErEFZwMOYHr16/jzp07oB9/ly5etHyxmdRSpUvB2Tk/G2EjXfHg6OCAQoUK8VP2eSMqio0Mu/BpR3FxTPc80927d9nUJjq/ciUciarpUjyP+pPuD/pTh3LlyyF//gLw99sGN7ciqFa9BvvR7Vm2rMn7Rn2tPM45BI4eDYaf71b2BuhiWBiaN2+Ob7/7Fg8ePkT1atVAI5z8TYWaCt1DV69eZYMDx4KDceH8BXz/7bdY8e9yvN7rdTRt1gze3hXVl8hjSSBbEpAjyZmgNpGRZHrFSsYWvW61NZBxlS9vXtg7ONh6CTP2aLpC3nz5bL6GpgJQ0CNbQnw8e32cJ6/l32X+/tsxY/p0Nn2iT58+aN2mNSq+8orJB7Upgc0xOH48BCtXrMD6DRvQpEkTZiw3f/VVVsS9uDg2Ckavs7Xh4cOHoHloNLpIhhWFkiVLsukShQoVZK8i89nZaS8zeU5zFO3s7Nncc5MZTETSdAw+nSQ6OhqRkTdwPTKSGePuxYrBvXhxeHmWhVoGEf1YYmBCLBbFZdPTd2haAr2uNcXaXD0istH9Q1NviNf58+dx9MgRhIaFsnMyBp48eWKuOhZPo2f044deNdPUGLeibqhEcQULgqbLuLq4sPuTDAi9949IP4iIiMDjx49xNy6Ozb2/f+8ezp07B3olTv2CfmDRyLd2hM9UI2nkuVTJkvD29ka16tVQp44Pypcvx+4xc/ePqXJ4HPWDQgULIneePDzK6if9KCT98DUVVi8AINIPRPqoCAO9svH1EHxOqy3tpzwispnSz5rVazDnjzlsQKFVy5Zo1bo1GjZsoDxnRb5/6C3eufMX8M8//2Dnzh3sB/3wYcPRvXs3tg7HVBvp+ergYI88eSx/L6ivFWGgVz9UHzHQMyouqh+aT623H6h5yOOMIJAykiyN5IzgqylTxEjWFJEjTuMfxmPEiBHo/eYbaNu6tdkHa1pg0LzSVStX4fTp05g2bZrJUTX6AqP5d+fOnUfM7dts7nWJEiXg5enJ5junpf70uvZG5A0mGxlGNDJJRk/Fiq+gTJky6VVFtiqHRrbOnj2HQ4cOgUa2Ll++jPMXzpsdhS1YsCCqVKnCeJUuU5p9oVf09mYLbLM7QzKoo27exIXz5xEVFYWrEVdBcWfOnDE7P5rmWZevUAHly5VDzZo10LBxY1SrUtXk/ZGtOoYUNhUBMppHjxqNfv37o23bNqnS0yuCBjwWL1qEyVOmoEKF8ulVrCxHEsgEAtJIzgTIKVWIGMk078rd3Z39pZRk+ehqRAQb5XJxdbWcUZV67uxZ0Ot75wIFVLGWD2/evMkykHy2hsDAQDYSxz112HKdiGwiDC5evMhGDB/Gx+Py5XBcCA2FW5Ei7HUhGcamRr9F9EMMihYthsqq+X3WONjCgBYgklF49tx50Kv6kh4eeKVCeWb0WCufpxMD0ieNktoabJFNW9bRI0dRpKgb6LW/rcGUbKSngweDsHfPXoSFhZk1iMkYrl6jBip5V2SfFV55BcXdi6NkydRTbkT6jggDkX5gioE1ftRHaTGwOly/Homom1EICw3FyRMncPr0GbPGMzec6U1O4yaN0ahRY5Ov0IlBuXLldI0K01zUypUq6boXRBiI6EekH+iVjUZQ/bb5o1mTxij63HuRWk/mjkVkE9GPyPNNLwNqo6+vH3zq1M5wBiKymbp/zOmFx4voh9ZpVK1SRfH6xMuSny+SQIqRbPs7jhcpbw6sm16p00IYPYYoeXjIlTs39BjJN27eZAaiHiP53v37TCN6ZKPX7Gr3dbaoVEQ2vQxo1Dg0NAz79h9A3rx54OXphZ49uoOMK0tBRD/E4PHjJEvFpkqzhQFNy6FRUfqLf/gQR4OPIXDvPhwLCYFPnTrw8vJKVa42Ijomhs171mMk2yKbth7yxmBtqoP2mpu3biH8yhVcCQ9H8NFgtoDr+rVr2mwgLxEN6tdnI6EPExLQoEED0KtkW4PevkPlijAQ6Qci+qE+qjWS6ccB/VG/ePPNNxkaugfCLl5io827du1EWNhFZjjfjolh0zdoCsfGjRtZXmLcrGlTVK1WDfWfsyYGZXX86KGCyEuP3ntBhIGIfkT6gV7ZDM+eMQamFu0y0Gb+E5FNRD8izze9DFg/SEgwuXDZTPNZtAgDEdlM3T+W5KI0EdnI+1Q5r3IolLKUwVo1Mj0TCUgjORNhy6qyFoGkxEfYsGkTWyBXq0YN1G9QP2sJKCANLRQkX7H0Rwtr/LfvYK869RiLAtVm2CUbN27C5MmTQNNLTAXuwaRVq5Zo3769koVWppcuXVo5lwfmCdCbElpkRX/u7sUUDzl+fn7YuXMXm8tPhj0FMpzXrVvH/uic3C326duPeU8wX4NMkQQkAUkgexKQRnL21JuUOg0EaF5yaGgozp+/wBZgFXYpjPIv4Zw5MoxpusjR4GAsXLSY+fglP8z2Dskb0KQBYYZdSob9pk2bcCz4GEJOnEDEleTFkrxCmgJAI8R1fOowl1M1a9SQ82Y5nHT+pB8d9Dd50iSmCxplppH8gwcPKm8DyNvL77/+itWrVrGRZRq57tCxo5yDms66kMVJApLAiyEgF+5lAneROckiq4tFVv2KrP4W8Z4ggllENksMHicl4djxEJw5exalSnqgcuXKzFOF6Mpnvd5HMouBKf2QB4RTp07j2rVr7FU7+T2lzRl4EGEgoh9en/qTPI/4b9uGTZs3MVdS6jQHRwc0bdIULVq0QK06tVHZu5JNRnFWvn/U7bP1WEQ/GbU6n/3IDAvDoYMHsSdwD/bs2aMYzbw9Fb0romXLlujRoydq1arJo9P0KcJApI9aeoaYa4CIbObKshQvIhsx0Ot9ROT+ycoMRGTLqPtHq9+wixfhUaKELm9R2jLkeXoTSJmTLI3k9GZrojwRI9lEMTIqDQRoYduBA0Fsi29ydaRn7m0aqs1yl0bfuoX9B4LYPMAaNaqzkWZTCxMzUvDY2LvYvt0fG9ZvwN69e8Ff5VOdNFJMOzIyDwuNGqNhgwY2GcUZKa8s2zIB8kqzb/9+7N2zh7mlo4WJ6kBTYsjPebfu3dCmTVu4uMjJl2o+8lgSkASyGgFpJGeqRkSMZNrYgHbPK6LDUwV5naDRTWuLztSNJ1dnxYsV07Vb1u07d1gRtspG0xpoUwS9O+6JyKZlEHvnDo4cDWa+ZF99tZnJ3QhpdJVYm/L7TC7FaNOQd995x8hYE9GPpc1E1DpRH4swsEU/Z8+exbHjx5Endx60aNGc+eA1x0Atj/pYj2y0unz37t3w89vGjKlnz5K3AafyaLS4bZu26Ni5E1o0b5HKiLKkH7U86mMR/Wj7jro8c8d6GPAyRPqBKAM9Ow6SfKIMyAUh931t9CNo314jN3z0I4i2u85nlw+9er2uywWZCAMR/Ygw0Cub6I57lmSj56ypDTyIgVo/vB9a+hS5f/QyoPrVO+7RiHfBAgVMehNSy2qJgTqf+lhENmKQGfeP9G6h1lRWOU4xklPet2YV2aQcjAC5taJdwPQEenjQq1A9ITw8HLTRh55Actkq2+7AQLRo3lxP8UpeEdnUDM6fO49Vq9cwn7E9unczaSBTZbSrH7lRMxXI1djX06bhhx9/NEoW0Y9RATaeiDCwRT801aRvnz5wLeKKTZu34OSpU2YZmBPVFtmSHj3CxC8msSkTn3/2OQJ37wY3kGnR17jx43H40GHMnTcXPXv0SGUgU92W9GNONhH9qPuOuXK18bYw0F4jci7KQG9dogyePH6sVEUjxb1798aSf5Yw3ZKOSdcUyLPJli1bsH7degwcMID1DeojtgQRBiL6EWEgIpstbdbmMScbPWeHDBmizc7OiYFaPyYzaSJF7p+0Mhg2bDiWLVuukST1qTkGqXOmxIjIRgz0BhHZyLtFgpVdNfXKIfOnHwE53SL9WJotiUaS27Vvj0aNGsLT05O94qZfzcdDQpRrSri7o1LlymwHPIqnV9A06pLf2RmNGjVi+Q4cOIBE1RdKrZo14eKS/OWzKyCAjQbSPNNSHh6sLLqIRhHoIclDyxYt2GFiQgIOHDwI2oSBRoDoOp527NgxtrMXv6aStzdoMw3ade7c+fPK/EPyJVy7dm2WLfjYMcTFxfFL0KhBA1yJuIq3336bzU1s9mozVo9aNvLfSe6JeNCy4bI5OTpaZcBlo13JqC1Jj5JwKzoa5b28mP/J23du82qYbA6OjuAMkpKSGGtTDMhF0zY/P7aY7J8l/8CrnBfTm4h+aK4w7SzlWaa0oh8tA64DLpspBiL6of6hDqQfYkAG64qVK9k2yO7uxVG1ahXWPymvVjY9+qEvi90Bu9nW4LRjIQ+58+RGvXr12YKwQQMHstF5bR/lsnEGlvTDy+V9lN9XXD/qPipy/2gZpId+eD+gbcb5/WNOP9Q+SuMMyB8xLcakoJVNqx9iQFMdHOztdd8/6vvUmn6oj9Luebly5TL7DCHf3SEhIVi3dh0CdgcYuYMkV5I9evZAjZq1jH4kaZ9vnEHJEiUy9P7hzxB6U2ZNP9o+aqt+jh07jgcPH7C3V7SVvbVnPNcBl02tn8NHjuCD995Hp86d0bZdW0UHXDZb9MPvH/4cteX+4fepto/aoh9+nybEJ7Bd/pycHEGLQCdNnowpUybDWeWvnfcDLhtnkN764Qy4bHruH0v6UT+v+fc8MePx169fR5tWrZlHInZjy/+yAIGUkWRpJGeCOshIpp3kOnXswLZ/JqP02dOnzEDl1dNWvbRFK48PCAxkGy7QFyIZMxTooWcwGPgl7OHCt4Kl0eCz584xX7f0ao1v90oPFPUoAvlepkB+OukhQIZypYoVmbHN0x6RT2PV63D6AqR5q+RPlb6oyGcthXJeXsoW2ORO7emzpyye/lu9Zg0+GfsJxo77BB99+CEC9+xFpUreKFG8uCIbjSCp/YTS9sZqNlw2mgZgjQGX7fSZMzh/IRSODg5o3boVChUqxH48qBmQ4UD+pDkDWsxHm1vQCJg5Brt2BeCTceOw+r//ULZsGYjohxjQFsfVqlYxy4DXz2UzxUBEP9q3BZwB6YrSgg4dYttuU9uaNmoMOwd76NXPmTNnMX/ePPj6+bIvPN4ZyLdut65d0b5jBzZaTayp75jro1w2zsAW/fA+qr1/1H1U5P7RMkgP/fB+ULVKZeX+saYfzqBosaLKtAatbNr7h/poi1dfZcarrfePLc8QrX6oj5ILRZrqxfmY66Okn1u3ojH7559w/dp1tvhP/faLRpzbtWuPAf37o3btWspW18SHM3BzK6L0HS0DXj/vOyL3D2dAhr29gwPrxub0w+vhstmqH3rbs237DjRp1Ii53bOmH/4c57LxZzxNsaCBiA8++AB93kr2e22Kga364c9R/nyzdP/wfsCfIZyBLfrh96nvNn/UqVVLYbB48RLMnDEDq9esZovZqGza+p2+57hsnEF668fUM8TW+8ecfkh+9b3Av+fV8avXrpVGMgHJUiHFSCajSxWeGQwG+ZfeDJo3b27YuHGDLrYXQi8YYm7H6LomKuqGIS7urq5rLl2+ZIh/+EDXNSSXJdl2B+wyVKlSxRCwO0Apd/fuAMPNm1HKuS2M9cj29OkTw+nTpw2Llywx7N2310DnttRBea5ejTA8tIHBf6tWGerUqWOIuhllENEPMThz5ozNcpFsehjw9lrTD8+n/iQGd+7cNmzdutUw/6+/DCEhx63KSbJFhIcbli9bZujSpYuhuLu78leqZEnDoIEDDVt9txoSExOUso4cPmy4HH5ZOVfLYO7YVv2orxfRT2bdPyL9QJSBmoktx6IMkpIe6dLp6jVr2L3w8MEDw+rV/xn6vPWW0nd4P6I+tXLFCsO95880EQYi948IA72yPXhw30AMbul8Jqpl27B+PWP2/Q/fW2RPDPTqR+T+0cuA+iM9b7QMfvvtN8OrzZoZom/dMtkuNQNb+jTlEZGNGNhaPs8nIhs9a+/fu6e7Ll6n/MwImzXFLJYjyZnw60Vk4V4miJUhVdAoc+dOnTF//jzlFWKGVKQqlLZ49fffjvsPHrCpFBVeqaBKTd/D2T/9hC2bt2DZ0qVwK+qWvoVnkdIiIiIQdPAQ25q7WdMmyGdnZyQZvb719fXF4sWLsX/ffiWNL8qiqUW0GFDPjoxKIfIgxxJgm9/4+yNwdyBoIxN1oOla7773Htq2bm11YZf6upf1+OyZM+j1+uuYMH4CBgwc8NI1c/z4CVjx779YtnxZpn2PvHQQZYPSQCBlJFkayWnAaOulIkayiJ9KUR+aBfLnZ9NAbG2PKT+8dC29Nu3UqRMGDx6CgZoHN72u5K+zbK2H5oZZk+3O7TvY4uuLCuXLo15dHyQkJiJf3rzKa1Jb6tLrQ3Pw4MGgOYX//LME3t7etlTB8hAD9es2Wy60hYG2HHP60eZTn2sZkE/pnQEBePjgIdq3bwdnZ2fExNzG8uXLsHDhIkRev65cXqZsWfTp0wd9+rxl1TCmKT7EgHtCUAqxcKCVzUJWJSkr3z8i/UCUQZEiRRQmthyIPkP0+uEl7w70POBTbrSyRUZG4u8Ff2PVqlXM4wZPp742+IMP0KFjB+bjnMeb+xS5f0QY6NUPTWejLeQdnRzZOgVz8mvjSTZa+9Gz52v4bMIENpdbm0d7Tgz06kfk/tHLgOSkAQ4HB/tUDGhqxVfTvsa6tWuxxXerMvWCrskM/VA9meUnOepGFFxdXczeC1p9yvPMIJBiJEvvFpnBW6COQ4cPg/aO1xMuXboE2qNeT6BFgvRw0xNILlOyzZ83H66uRVIZyFT2nr17ER2dvrLRg3Tz1q1sPhv5PqZ50yIMzpw7p8sryDdff4NrV6/iyy+n6sHGGNDCRz0hPfVjqV4tAxo9bt+uHZubvtXXD8v//RfkQo/azg1kMpy/+fZb7AncjVGjRlo1kKn+4OBgXImIsCRKqjStbKkymIjIyvcP3Qt6+4EoAxNoLEaJ3D/UR+ntgp6wbsMGiww8PDzw+cTPsWdPIPOAQvNfKdAOjBMnTkRdn7qY+tU0q1WK3D8iDPTqhwxkYhB9K9pqG9QZSDYyHitUqGCTgUzXiuhH5P7Ry4Bk89vmb5IBPctpAV/9+vUx/Qdjz0KZoR+SjRjoDSKybd+5A3fuxOqtSubPJALSSM4k0C97NbT18eIlSzBhwvhMaSqNdG7Z6guXwoXZ4qRMqfR5JTTN4tvvv8OJkBDm+SIz687MusjwoRXlUyZNwv9GjVYW49Fo3pQvp2DWTz+he9cucgQkM5WSw+oqULAgRo8aiaCDQejTtw/UI+NzfvsNrVq1wprVa3Qb6dkV462bt7Bj+3Z8MfHz7NoEXXJ/NvFz+G3bxrZD13WhzCwJpBMBaSSnE8icXAy5SOvSqTPee++9TJk/Rlssr9+4kU0B6NSpY6o5s5mhC5pvO37CBIz7dDxuqlycZUbdGV0HuST65Zdf4ONTF998/TV77Uh1lilTBtO+/hr79+1lPlnz53fOaFFk+ZIAI0D32xtvvolt/tswa9YstGzVim1Cc/bMWQwbNgyNGzfBwoULcV+nn/jshDcmOoa9uRk3bhwqV6mSnUQXlpU84Xz33bf4cOhQXW/7hCuUF0oCGgLSSNYAySqn9HqRFkLpCXb58rH5nnquIR+qtOuankBycdnIQBw37lOMHj0aHw390GwxLoVdYGeXz2y6qQRTsp04cQJr161HieIl0KpVS+YTWX2tCAN7O7tU5ajLNHVM+mnStAkGDBiAj4ePYO6JTOVTxxEDmqKgJ5hiYO16tX6s5eXpxGDnrl3o0L4De5VN0ypux8TAo2RJNmp85OgR/Pfff2xKy5UrydMlRGSjHbXIPZ+eIKof3kdtrUuk74gwEOkHogxsbTvPJ8qAfCTrCcWKFtV9LxADcjP3Vp+3sGzZUhw+fATDhw8HuRikKUC0iK1iRW82P/7I0aNMHBH9iDDQqx+al08MaF62LSHyxg107NSJubTs0qWzLZcoeYiBXv2IfP/oZUACuhVxtcqga9eu7I0B6ZdCZuiH6uFTfFilNv4nIpuTkzPIf7wMWZOAXLiXCXoRWbiXCWKlSxVDhnwIT8+ymDAh+QGWLoWaKYS2h74cfhn169WDl5eXmVyZG03zort07Qpajd28+auZW3k61UaeQWZMn842e+BFVnjlFXw8YgS6de/G/JTyeFpk4rttG15t2hTlypfj0fJTEnhhBGjB8PLlyzF37jxlvjwJ06JlC4wZOxZ1fXxemGzpVTEtjKXNNmhtAPlzz2kh/mE8Wrdpg3r16mHWzBnSw0lO6wCZ3t6UH/3y50umw3+5KqSRxuHDhmV4oy5fvswWoLRqIRLUnQAAIABJREFU2TLLGMjUaFpgsmTxEjRq2CDDGWREBZ9+Op5tD0y7oVGg0ZOp06Zhx3Z/9H6jt5GBTOnFSxSHT53a2LV7N1udnxEyyTIlAT0EChYsyKb/BOzaiY+GD1cuDdgVgK6du7BX9TSFKDuHWrVq479VK3OkgUx6c3J2wueffwZ/f3+2O2h21qWUPXsRkEZyFtUXuZ/hrrxsFZFc49DuPnoCuQdS70Zny7UkF5dt8qQvQItrrIXDhw7jzu2UraGt5ad0LhuNFO3duw8NG9RnO9ZZulaEAXn3oB2T9AS1fmghnzlXVuoyicHFixfVUVaPOQOrGVUZ1PpRRSuH5Mpt6pdTUaVKFSxetIjFk0u29z/4gC2Q+uD99yy2p2rVqihTujT8t+/QbSifOnkSeg2WtOpHabiVA5G+I6IfkX4gysBKk1MlizKgHdT0hG3btum+F6wxoOcQLWjbHbgbXbt1U8RZv3Yd2rfvwObZ2+KFQ4SBNdkUYZ4fkBtAYmDrM/HTT8chf8GCzP2ZyDNer37Uzzet7ObO9TKgcgIDA21m0KVLF5w9e4btlqqXgYhsxEBvEOk7YRcvKt+neuuT+TOegDSSM56xUA0iLnhE3M+IuEgy5wLOUkNj78YiKUmfIUqyXbx0CVt9fVG9enXUqFHDUhUsTYSBiOsiEf0QA/ILqiekp37ox8bs2bNRr15dzJkzh72+dXB0wNChQzF3/jyb3bjlzp2bbflNBsfyFStx6eIlm5t07/595sva5gsAZJZ+RPqOiH5E+oEoAz2cKa8oA1uMT7Ust6Kjdd8LtjKoWLEi5s79kxnLTZo2ZdXS/HqaZ88X+FmSV4SBrbJxBk9pe+7oaCQlJfEomz5FZKM+aqm9pioWeb7pZUD1xty+kykMRGTLLBdwQUFBuBd3z5QaZFwWICDnJGeCEmhOMs2Pa9CgAfNv+UqFCsxjgPompH3oyQikX6/qeHr93bJFCyblroAA0GYMPNDcXO4SiQxJHnhZdB4aFoawsDCehI4dOrBjGskICAxU4umApwUdPMhGcXli9WrVUKpUKVy7dg0nT53i0XBxcUHDBsnTDLTX0J73jk5OLK852WgRntrfMvn+VLO5f/8B7t69Cze3InitZ09WljkGlmTTMuCyiTBIb/1oGXAdaGVT9wMta2v6uXDhAiZPnoIjhw+zkSgCSXOOe/bogYGDBuHwkRR/oFwHlEcrG0/jDAwGA9tshAzfju3bw6OkB2zVj6U+mp76UfdRc7JRW23toxmhH239dM4ZaNO4Dijemn4oDwV13zHHQHv/vEz6SUx8hMOHD8HP10+Zs0zTxBo0qI9mr76KZk2bWn2+qfsHMeX60d6nGaUf7TPMkn7M9VGSm6fpfYbQtdq+wxlQmpqPWjZtH+X182cIXUtB3Ue1svHvOW0fVd/b6vqpPC6bHv3w56gl2bQMuGyW9KNuj5oNj6f62rRqzaayJdOQ/794AilzkpGyQzUdZcQe2LLM5s2bGzZu3KCL75atWwx6946nPeBpj3o9ety5a6fhdvQtXdeQXHpl8/PzNdyIjLS5nothYYa/FvxlOH3qpM3XULtFGBwIOmCIiYnWVY+IfogByZdZ+omIuGIYNXKkobi7u/JXr149w+r//jM8eZxkJIcIA953wsMvG/5euNAQFXXDqExT7dy3b68hNCzUaj71tSKyiehHpO9wBmp5rR2L9ANRBtZk0aaLMoh/+ECXTpf8s0T3vSDCQK2fhw8eGH7++SdD1apVlfvB07OsYfr0Hw1xcXcV+UUY6JXt/r04AzG4EXldqVerC1PnIrIRA736Ebl/9DKg9q1esyZTGIjIRgxM6cBSnIh+kvuB7d+NluqXaellb6ZYxnmmTJky5cVb7S+3BLSNb+PGjUGvAW0Nri4ucHV11bV9L7kXY9s463AdV7hQIdDCl9x5bHcDRy68yJWXnq2F6Rc9jXrTiIG1EHk9km2J3KJ5C5Tz8tIlmwgDakv+/Pl1uc8T0Q9toV2oUCGmV2sMeLqIfmiO+fz585lbvuPHj7OivCtVwtixYzBz5kw2dYWmTKiDCAMuG/VTJydHBAbuQZkypZmbLnXZ6mN6E1KoQEE46/CxLCKbiH5E+g5noOf+EekHogycnr/NUevA0rEoA7oul6ZPWaqH5m6S72O6H2wNIgzU+slnl4+9zevTpy/bSfLUqVPszdz+/fuxauUq1icrV6qEgoUK6X6O6pWNplvQCGLp0qWVN262cMgs/YjcP3oZUHtp50F392I2fS9wPiIMRGQjBplx/zg5O8PNzU3X9ylnIT8zikDKSLKcbpFRjFXlvswu4FTNTLfDJf8shfcrr6B+g/rpVmZOKSjy2nW8+957Ru7cpkz9EkMGD85wBL5+fqyODu3bZ3hdsgJJIK0EHty7h49HjcbWLVuUogq7uGDlqpWgV+8ySAKSQE4lkGIkGw8n5VQest1ZhkBQ0EE4Ojqgdu1aWUam7CAIeawYO2YsfOrWVQxkmndMW4VnhoFMjBo3aoToW9HYtWsXaNtwGSSBrEyAvEXMm/snvv3uW7YhCcl6NzYW3bp2tdkTRlZun5RNEpAE0k5AGslpZ5ghJdACgcvh4brKPnf2LG7cuKHrmgMHDiDuTqyua0guvbLZ4gLu3LnzCA0NZYtL8tnZQUQ2EQbHjh0zWqhoCwwR/ZC7o7Nnz9lSvJLHGgNatf7nn3PRpHFjLF26lF1HU0c+nzgR5De2bds2SlmWDkQYaGWjaTvt2rXFteuR2LFzF3ulra1TxAWciGwi+hHpO1oG2vaaOhfpB6IMTNVvKU6UQWJCgqViU6WJuIATYWBNP+Tn/O2338b+/fsweMhg9to/MSGRecKgN4C+qgXRqRqhitArG3m5WbN2HaJ1bmmfWfoRuX/0MiB8elzAcdwiDERkIwZ6g4hs/yxdCtqkSYasSUAayVlTL2yu3JMnT3RJl/T4MWium56Q+OgRnj7Tdw3JpVc2Sy7gnj17hpMnT4JW+3bo0F7ZrlZENhEGj5KSTBp0ljjS3Fq9DOiax4/1jbCaY0Du3BYsWIA2bdpiyuTJoHMaOf76m6+xYuUKtO/QXteuVEIMTPQdmmfaq2cP5veTdkjUBhEXcEKyCehHpO+Y04+23epzkX4gykBdry3HogzI04meIOICToiBiT5qSk76gffll1/i/Plz+GTcOLZGIfzyZbzz9jvo378/DgQFWdx6Xq9shmfPEB//UPfzOrP0I/J808uA9CDiAk6EgYhsxEBvEJFNbx0yf+YSkEZy5vKWtZkgcOTIURwIOoimjRtb3SzExOVZOio29i7u30tfH5grV67Cq81exeeffY6w0FD2qnjKl1+ykeN3333Xps1dMhIaLURp374deytA7udkkASyCwHaFKhNm9ZYs24tG2HOmzcvdmzfgdd69ETHTp3Zj/ns0hYppyQgCaSdgDSS087wpS9h4cKFiImOyZB2khN1cnZP/iYrvFIhQ+p4kYV+NXUqPvn003QTYeasWRj58ce4efMmK5O8haxevRpDhgzWNXKcbgKZKYhWoPv4+ODgocMWR+DMXC6jJYEXSsClcGE2V/mnn35S5Dh54gTatW2Ho8HBSlx6HixatAhJjx6lZ5E5qqxdu/RPj8hRgGRjhQhI7xZC2PRdJOLdgtwDOTo66nJBQ26V8uXNC3sb3KzxFtC2usxtXL58PMrok0ZCW7ZsiS1bNsPDw4Ol8S2p9bjHIRdwdnZ2RoYcTbPw9fVj7WzZMnnDFHXl1mRT5+XHIgxoy1La+ESPSztb9UOjvmTUrlm7BrVq1mRu5mzZwpq3hzO4G3cPU7/8EqtWrWJJRdzc0KVzZ3w49EN4enry7OxTRD8iDLhsec30HdLvhg0bmauvRo0aMtnoFWaePHl0sRaRzVb9qMGJ9B1rDNTl82O6F4iBnn4gyoBvNsTrtvYpyqCQTjeSD+7fZ8+DjGYgoh8tA39/f/z990Ls2rmT4aNdKj/5ZBzef+9dRYd69UP3Brk/c3RyRJ48eXH16lW0b98etPsaTf0wF7SymcunjicGevUjcv/oZUAy0txsBwd7xkAts6Vjcwxq1azFPJOYcrUqIhsxyIz7h+Yju7q6KH3JUttlWmYRSPFuIY3kTGAuYiRnglg2VTH1y6lsvuv0GdNtyq8n0+EjR3DlyhX07N7dyHjWU0ZWz/v0yRN8MHgI2+nL1y9lV0Rb5Y68cQOL/l6IpcuWgbbWpdC7d298/sVEuBcrZmsxLywffaGtXbsOTZs2gZeX1wuTQ1YsCaSVAK2bGDNmLGhEmQK9xRk+YjiGDx8Oe3v7NBVPnmnIOJ40eVKaysnJF9MbTz8/PyxfvjwnY5BtTxcCKUaynG6RLkDTvxDa5vL2nTu6CqZX8LSAS08gLxU0smUqnD9/AUv++QcjR400Sia59MpGq5hvqVZy0xajZ86cRds2bcwayJZkMxJIdSLCgGTho6+qoiwe2qofWj3/x5zf8TA+nm0NTdu02hLIuF7490K0bN4CP//8MzOQPb288O+Kf/HzLz9bNJBF9CPCwBb9kKcNekuwO3APIiIicPTIUYRfuWILAiWPiGy26kepBGBTWNLz/lGXrT4mzw629gN+nSgDfr2tnyL3D/WDx48f21oFy0eeHfR6ehFhYEsf1QpujkH16tWxdctmfDVtGjNo6a3I9B+ns8WzW7du1fUMoZH0ZK8GN9go8voNG/DRsGFaUVKdm5MtVUZVhIh+RO4fEf3Qm0S9Hj7MMejTpw8uXAjFkaNHVa1PPhSRjRjoDeZks1QOPQse3H9gKYtMe4EE8r7AunNU1bSqX/0Ki75U1F/INBJBBgWPDwsLA+3znjtXLtAe9RTotRm9puOBRh74FAEqm4yQAgUKgnZTo7IokPGXoHLPxF8fPXv6FLF37+LSpUvAMwMKFiqovFqiV1NkaPXs2QNt2rRBsaJFWVmPEhPx4OFDXL9+nZ3ny5OH7U5FJ3TNY5U3DprTx3chI9kSEhIRFxfHpo+QPDR/rE7t2sxDBKVT4NNLOAMuW2GXwlYZcNk4AxioTcm7eWkZcNk4g/DnX/LEk/PRtie/szObxsJl06MfeqX87rvvYM6cP9CpcyfQ6CrXDx2TGzceqH6S5+MRH+Pw4WTvELRT2IABAzFp0hdsxMqcbJyBKf1wxrwezoDOKY0zIO8UfBqNVjZR/ZQqVQqVKnnD128baBcrO3s7IwYZqR91HxW5f7QMeP/gfcdUH7Wmn6dPnyEhMZHdM7yPZoR+qI8Sb3oeWHuG8L7D7x9LzxDed9QM7PPZwd7B3ub7JykpCfcf3DdiYE0/vI8WLVrU4v1DfVotGz3f1M8Qa/rhDNTPELV+6LlIXnjmzZ2H1WvWsMWz777zLj4YPBijRo1UdtTU9h31/UPP3ty584C+F+b8PgcD+veHm1sRs894fo9w2Szpx1QftVU/vB/w55ul+4f3A+0zxBb98OcoeYe5GxcHmrLF+6hWP/x7jsvGGZjSz6BBA/HjDz9i+bKl7PuH9wPedyw930w94229fyzpR90e/j1PzHj8iZMnUaxoMeQvkPydTWkyZB0C0kjOJF3ciLwB+mVaqmTJZEMxPp6d8+qLurmxBz+N6vJfsGSokks3/vCgG51c2fBQpVIl5HtuCNI1NL+LDNB8+fIqXyJ37tzBtedGLV3HH6D0kKJryI3Z9chI3Iy+paRR/tmzf0JCfAK6devKHuRFHRzY58VLlxSjm1Z+V3leP11DD3weatesCfvnW11TPc8Mz3AjKgpRUTdxITQU3hUrsq2MeVvpOi0bLtvduLtWGVDdJBtn8OzZU0U2LQMuG2dABgsZljdvGTNQt6d8uXIgBqL6oW2h6QfPwaCDcCtSRNEPjTxEP59GQV9MQfsPYP369UwvxLfX66+jR48eKFSooPJKV8uay8YZ8B9Fav2oORNrzoCOKY0zoB9d3EhWy5ZW/dD24rRI8+q1a4iOjmZ18B8KGakfNQOR+0fLwNz9o+6j1vSDXGA/Eigfv38yQj9ct/Z2drrvH0vPEN53+P1D9ym9HcidJ7fRM8TS/UPbmN+/f589mzgDa/rhfZQGCnjfyQj9mHqGmNLPl7ST5YdD2PzknTt2YN7cucyv8rvvvI2+/fqxfs7vbe39E3H1KvLnd8b27TuwcdNG0CZKFMwx4PcIl82Sfkz1UVv1w58hJAt9/1i6f3g/oLzqZ4gt+uHPUVpDExUVxe4H/j2nvX/49xyXjTNQP+O5fur4+LD540eDj6Fevbps0Ektm6XnG3+Octl4u2y5fyzpR90e/j1PZavj6VyGLErAYBSeGQwG+ZfeDJo3b27YuHGDLrZbtm4xXAi9oOuakJDjhqtXI3Rds3PXTsPt6Fuprqlbt65h7rx5qeKJDcmlVzY/P1/DjchIw5o1awx/L1xoeJSQYLJsNXtzsqnzaI9FGBwIOmCIiYm2Ko+6LhH9jB07xjB61CiT9Vy6dMngWbasobi7u/K3bZufQYSBiH5EGIjItmnzZsPOnTtNMlDzVR+LyCaiH5G+I8KA7gWqS91Ga8eiDKyVq00XZRD/8IGu9iz5Z0mmMBDRjwiDDz/8ULlv6R7u1auX4VGi+Wfc/XtxhoWLFhq8vDwNH7z/vs3sRGQjBnr1I3L/iPTR1WvWGG5EXre5/dRfrTGY9MUXBvpT920R2YiBugxbjq3JZqoMuhfou9FUmox7UfZoimEs5yRn0R8vNNWiYIECuqSj11/OTk66rinh7q6MUPILaU4XLUoZNKA/jzL6JLn0ykYF0EgvvYLs3rUL7BysL3QxJZuRICZORBjQr3u9C29E9FO/fgPs2LHDaJoNNWGbnx969ujBNpCh89JlymDpsqVo27YtRBiI6EeEgYhshQoWwKXLlxHzfPTchApTRYnIJqIfkb4jwiBVA22IEGVgQ9FGWUQZkLeOjA4iDET0I8JgzP9GY8yYMWzklTjs27uXTZGihbfmQuiFUPa2rvcbb5jLkipeRDZioFc/IvePiH5SNdCGCGsM+vXvh02bNxv5pxeRjRjoDdZkM1UevWVzdHQwlSTjsgAB6d0iE5SQ3bxb0AIIckdE27WmVyDjePWatWjVogVKlymdXsVmu3IGDx6CWrVq4qOPPmLG8rSvpmHJkiWsHWQc81e1NA/vZQ20UIWm3LzMXk1eVt3JdlkmQJvn/PzTz8qUKbqPJ06ciAEDB6S6sEP7Dij/SgX89uuvqdJkRNoI0HfYw4fxWLVqpe4BkLTVLK9+OQhI7xZZXo80L4rm/OkJ5IievCLoCYkJCWyRC7+GHvK0QpgeMuYCyaVXtsDAPaA5X3oMZK1s5uRRx4swoAUhtMBDTxDRD5U/duwY/PXXAqxYsZKtiucGct++fbF9uz8+HDrUyE+qCAMR/YgwEJGNGNSoUQP2dvY4dPiITchFZBPRj0jfEWVgU8NVmUQZqIqw6VCUAW2znNFBhIGIfkQYcNnIR++vv/2KHTt3oErVquyH8Lhx40ADJevWrVMQHTx0iHm8mTVjhhJny4GIbMRAr35E7h/OwJZ2pCWPLQzGjB2Lw4cOYfOmzawqEdmIgd5gi2zaMsnTid7vbW0Z8jzjCMjpFhnHNk0lBwQG6naVde78ebY4Tk/FBw4exN3YWOWSn3/+BW+/Pcjir29aBKLHjdepk6fY4sDy5csp9dhyoJXNlmtEGBwLCWGePmwpn+cR0Q+5/go+dgx37tzGqJEjcTUigm20sWDBAsyYOcPIOOb1iDDQqx+qS4SBiGz79+9H2MWLzC3c+QvnccQGQ1lENhH9iPQdEQYiLuBEGfB+ZOunKANyh6YnkPszvW7wRBiI6EeEgVY2MpZpA6bR/xvNpmCcP3cOQz8cimEfDWOG85zffmc/FmnBl54gIhsx0KsfkftHy8CWdpErwCgLU1JMlWELg7o+Phg4aBDm/DGHFSEiGzHQG2yRTVvmug0bEJ1BO9pq65Ln+glII1k/s5f2CvoVvHnTJnTp0jVd20gPKFpVnIuW9efgcPduHD4ZOxaJCckGBc37XrFyJTp26pjjqJB3giqVKiP4+HHFpWCOgyAb/FIToHUONIo8fsIEpZ1r1qxB//4D2KYX5IlBhowj8P3337FnC/n7l0ESECUgjWRRci/hdTsDAuDt7Q0vL+NtjtPSVBpFtsuXD8WKJftaTktZ2fnawN278d233+LJ4+TpMGQg9+zZE97eFbNzs9Ike5WqVZgbrODgY2kqR14sCWRlAsOGfYRNWzajXr16TEyaBkD+sR8/TnHnmZXlz86yderYCZs2bcrOTZCyv2AC0kh+wQrIStWfOnkSQ4cOTTeRyPfwkeBgtGjRHOSonfyo5rRw9swZ9O3bD2+++RZu3LjBPFesWbsGGzZtRN26dXMaDjYXmXyvUqDR5Nd7vsY2vKEfUzkl0A+kfPnsckpzTbbTyck5RzHwqVMHa9euwafjx7PpF7SRxMzpM7Bs2fJU3m5MAntJI50cHXV73tCDYvCQwdi1c6eeS2ReScCIgPRuYYQjY06ym3eL9KBATv7Xb9iI6tWqoVGjhulRZLYr488/52LaV1+xjUFI+G7du+G7776Hi0vhbNeWjBSY+grtxtfrtZ7KJhEZWZ8sWxJ4kQSCjwZj2PDhCL98mYlB280v+Gs+Klep8iLFknVLApKAQiBlamjOG9pTIMiDjCJAK3UDAnajuLs76tdLHi2llcI5ZQVvbOxdDBw4CFMmT2YGsourC2bMmIHZs2bB2ckxo7Bni3JpAZHWMwptFUueT/bu3Zst2pBWIeleoPn/OTnQiv6cyqCOTx34+m5Fu/btWRcgY7ldu/Zsp7ic1ido97ynT/V5ZMppjGR7XywBaSS/WP5ma6eV3zTCpieQt4RYvaulz57FQ9V20rbUR3JZku3Y8eNs22Ha0jrP81fre/bu1b2C95yAbCIMLl68yDY5saXtPI8p/cQ/jMeSxUvQpk0b+G/bxl6r0uvV48eOoW+/viAGtPpZTxBhYE0/puoXYSAiW3BwMK5ERKQSoUH9erhzJxaXLl5KlSYimyn9pCpYEyHSd0QYiPQDUQaaJlo9FWWg1+ClFf167wURBiL6EWGgV7Y8uXOjbbu2WLZ8GRo2bMh+TH82YQKGDBlicSGriGzEQK9+RO4fvQyoM/pt80f0rWir/VKdQYSBiGzEQG8QkY283dy5fVtvVTJ/JhGQRnImgdZbzfXISNBe9XpC7N27zPemnmtu3LyJRzpHtUguc7LRaPGp02dQs2YNPWKYzCsimwiD6JgY3QxM6WfS5MlsNXvk9eusPbSqfdSokbCzt767oEkAAEQYWNKPuXpEGIjIZq7+fHZ2qFKlMkJMfDGJyGZKP+bq5vEifSc9GXA5TH2KMjBVlqU4UQZPdfoZtySDuTQRBiL6EWEgIhu1s3KlSlix4l/UrFmTNXvD+g2o61MXR4ODTWIQkY0Y6NWPyP0jysBkQy1EijAQkY0Y6A0ist2KjkZSkr49EfTKJfOLE5BzksXZ2XwlzUmmV2s0N9fT0xNenp6IjY3F8ZAQpQzaOrRS5cpKPL2WpgVOtOCtUaNGLN+BAweQqDJoa9WsCRcXF5a2KyCAvcbOnTs3Snl4sLIo4XJ4OMLDw5V6WrZowY7JwTz5zyQDmdyz0XU87dixY7gbF6dcU8nbGyVKlGALz2j058nzDUvcihRB7dq1WT7y/xsXF4d79+6zNrzxei84OTuzNJKN2kP1qGWjEQ56gPOgZcNlo8Ud1hjQojiSjV7lU1uKuLoqsmkZNGrQAA6OjuAMkpKSGGtbGHC9qfVTp04dfP31N5g3dy5rCi1Q7N37DUyc+Dnc3NyMGND2sGVKlVL0o2XAdcBlM8VARD+kA3XgDCiO0jiDcuXKsf5J8VrZ0kM/SY+S2ALO0iVLKgy4fqhfXbkSgQ7t26FUqVLpoh91HxW5f7QM0kM/1HeoH9BWufz+yQj9UD20SNDB3l73/aO+T7l+eP/hfUfdR+3s7JArVy6rzxB+/9Bbl3x2+YwYWNMP76MlS5RQ+k5G6MfUM8ScfjgDLput9w+9bUuIT2D6cXJyRLny5fHh4CEICgpimF1dXdnGQv3792PPeK4DLpsl/Zjqo7bqhz9H+fPN0v3D+4H2GWKLfng/IAbkKo8Y8Ge89vnGv+e4bJyB+hmfHvrh33NcNj33jyX9qNvDv+eJGY+nBe5tWrVG8RLF+S0mP184gZQ5ydJIzgRlkJE8YsQIdOrYAXnz5WPGIu3wph7BpS9NGnHk8eTI3LNsWWawkEFHgR7IBoNBkZgeLrnz5GHnNM/x7LlzKFy4MEqVLKmMXtID5Ylq5z5HJyeWn3ZgoocAGcqVKlZkD2KexnYnUu2gRQ9YmjZBo8T0ZcA3EqE95+0dkvecT0p8hLh7cdi0ZSvatWkNDw8P5Mqd/KKCZAvcsxeVKnmjRPHiimz0ClA9wqFlw2WjLwxrDLhsnEFJDw9FNi0DMhxINs7g2PEQxpoW1FljoNUPGSBDPhyKk89HQOvVr49PPx2HOrVrs4e/Wj/EoGjRoqhWtYpZBrx+LpspBiL6IR2oA2dAcZTGGRQtVpT1T4rPCP3QCBn9cKC+w0fY1foJD7+CEydPsi2ryYiiPvp/9q4DvIpibX+UJCSEmgAJCb2GEnpVAQEpisoVO/Zr714RRL2K9arY7v31Xr2K4rUXUEDpqPQSWugdJJAACemdcv7nneQ72bPZPWdncs7JCdl5nuTs2d2Zeed9v5mdMzvzDWNT0Udroyr1R8+BN/RhO+jaJc5po77QB23IsCFDROdVtv64a0PYdrQ22jM+nkJDQy3Xn5/mzCV0SrQceNKH7SAyMsJpO77Qx6gNMdOHOWBsVusPNhFZvHQZXTRoEDVr1lS0b2jD3vvnv+it6dOdVfVvTz5Jf3vicTrvcIh2nLG508fIRq3qw+0oP3/c1R9CN8/vAAAgAElEQVS2A30bYkUfbkcXLl5CvXv2dHKAtPTtGz/nGBtzoG3jvaEPP+cYm0z94TaMsWn10ZaHn/Pacs766Se7k+y0+EA5sDvJflVCxbvFsWPHxA5s9evXt4wV85HR8ahbOoJrJSJ+nUc0akzBdaxPCcjOzhZJ67EtXbqMgkOCacgll5TLOmFDAmHHvcYREeWumZ1QwabCQWpqKtWvV8/ZYTHDoz0PfTDX+Ompz9DptDSqE1qH3pr+Fk24doL2NpfjFStWUJMmTSkurrPLeXdfVDgw08ddPiocqGCDm8FGjRtTTEyMKZw5c+aKzvH4q6+mkDohpIItkOuPih2ocoAReZmgUn9gB02bNHGuP7CSH+ZhtmvXTvxZuR/3qHCgYqMqHMhiw4I1zMe95KLB1KRpUxcK0lLTaNq0aTRr1ixxfvjw4fT+Bx8Irzgq2FT0Uak/shygcKgL3bp2lXouqHCggg0c+KP+YO5z2zZtKbxeuIsd2F8qkwG7k+xX9lU6yX4F6IXMEhISaNfuPXTj9deLjo0XkgzYJDCS/torr9K8efMERrhw+vzzmYStaO1QcQbST6fTT3PmUIcO7Q1/cFU8BzsFm4HAZ+CTT2bQi9OmieltLVq2pOef/zuNHTNG6sdI4JfSRmgzEIgMlHWS7YV7gahPFcOEX+l43RjXqdMF30HG693rrr3O2UHGK8cff/zB7iB70WYbRzQmbL6wf/8BwjQeO9gMVEcG7r77r/TCCy+IosNrwj1330Nvv/1OdaTCLrPNQKUxYHeSK4169xkvWLiQ9h844P4m3VW8tsErIpmABQ/paWkyUQQuLbbt2Ho6OJg6u5lGgOkWsm5uVLCpcLBu/Xo6bcEFT1raabpmwrV0LClJ8NU8Jka8EnU3dUBLLDiAKyKZoMIBtNHqYyU/qxxo01LBhukWWKjiKfTs2YOwaGjn7l2kgi2Q64+KHahy4Iln/XWV+gM70M8J1aer/47pFrJ1QYUDFRtV4UAWG/iy4vrrzjvvoGeefdZJ3z//9U96771/Or9bOVDRR6X+yHIA7JhuIftc8Ic+wAYOZIMKttk//UynTp2Szcq+308M2J1kPxF9oWYDn7xHk47S1VeOE3OozcqZkZlRpd3cJCYm0ujRo2nTxo3CE8aIkSNpxoxPCBsDWA3gAHMRq3OAe7qCwkJLFFw0eDAlbtsuvABYilBFbrLtgAhur6pzXcCC5RLXX8VurRYLph955GH68ssvKbZFCzp/7jy98frr9PBDDxM8hFT1kHY6XSwGr+rlqAj+/Pw8oWtF0rDj+o4Bu5PsO24DOuXZs2e7eNdQBbtm7Trq3au3WIylmkYgx8Po8bRpL9K4K8YR/B9j9PiXX3+hibdMpLrh3l1ogYU6N9888YJ4+HlD08gmkcK7S3JKijeSs9OwGfA7A999951X8hwxcgQlJGyghx9+WKSHtmL8X/5i6k/ZK5lewIls2JBQbXaAvYBl9EvRak3DMlo7+JSBmTM/p8GDB0vNWw2tU0f4+oX7G6shOCiIwsPDxdQHd3GSk5Pp1ltupQcefEB4wmjYoKHUYpCgUv/N8Gl7/NgxuvTSYcLNlLs88XoxIiJC+AV1d5/2GtyryWKzyoE2H3BcLzxcjBBrz+/bt48mTLiWflu2jM6fP099+vYV0yvatm1DKvqAg4aNGlGDBg202TiP4VD+lZdfpk6dO1FcXJw4r8IB6yNjO2YcOMEZHKhgg0u3BvXqU93wEh/aBsm6nGrSJJK279guXPTVq1fP5Zq7Lyr6qNiOCgee7MCoXCr6gAO9BxqjtLXnVDlAPvAzbjXk5uYStiM3qwtG6ahwoKKPCgdG2Pbu3UeTJ0+he+65u1xx4NINdQGuMrGuwWro3q0bde8eL6YpYJ7y1199TfghD9/IZvyDA1l9VOqPEQeeypWfl1fi/k2CA2/o8+ijj1LTZlHUpk0bU4j+qj8HDh6iVq1aSnmlMgVtX/ASA2UL92w/yV6i1F0ygebd4rvvvqdlS5fSfz8u2fzCHXZ313766Wdq3749de/ezd1tVfJaTnY2DR8x0jn/GK86f1u2lOpJuORTKfjFF19MPXv0pPc/eF8l+gUZ5/ffSzZCwY8xO9gMVBUG3n//Azp08CC98673F9stWbKEbrv1NicV991/P02bVrLIz3nSPjBl4LVXXxUbX73+xuum99gXqjMDZZ1k6z/9qzNfF1jZ0UEeMmRIhUqVeuqU2Dykfft2FUonECNjZOammyc6O8iXDh9O3377jc87yODi+edfoFWrVtmvAjWGgdGzP4/+Kfzkak7bhzYDAc3AyhUraMRlI32C8bLLLqOXX3nFOQr90Ycf0kcfVWzQwydAAzTRy68YRytWrgxQdDasQGLA7iQHkhoaLFiRjK0uZYLYotXD/M3Dh4+IbYivGDdOJI2tYLPSM2SyEbiwW1SP0l22rETGKmbZFbwq2KxwoMeL7UGxFSkCplhcfvnlzgV677//Pn399VflNj1Q0Qcc7N69R5+9y/dRoy4j+ERdvqKkAVfhAHYjaztaDlwAufmigm3Txk3OHRvdJO1yKelYEjVo0JB+nb+A8JreSlDRR8V2VDiwYgf6MqroAw5kgyoH2C1PJmBFv6e6oE9PhQMVfVQ40GPDlLatW7fSyBEj9MUQ37FoERxgsEEmaLHBRRz801951ZUiiWkvvEBPPz213A9scCCrj0r90XNgpVwLFy6qEAdW8sA9emzwnhMUVJu2bk00TcJf9efAwYOUr9sR1RSUfcHvDNT2e47VNEN0wk6knKDQ0DrUoGFDUSmys0p2rgMlwcFBYtch+OFNT8+gnJwc4RqnblgYNS3dkQmdTKxu5tC4cSPn9qxIOz0jg86cPUchwcHOHYyyMjOpoKDEm8B5x3l67LHHxPy1umGhAk9Wdg6dTE2lgqIi597xcMmD+bEc6jeoT2FhYU7MyAvbU8c2L9s1Dee0gbFhK9HU1DTxaistLU1gQ/kRtNjwHfOpsesQc8DYis6eMeWAseXm5IoOlBEHfI3xYZ4rb7MNbJmZWYSH2meffkYfffQRYcc6bIU9ffp06t27t+CJsaExg24q+mRn54h5zyi3GQfg7doJ19A333xDXeLiiDmQ0YddKjWoV89pB570AQfwd12zRg1TbMxBRfTJzMqkGjVrUP3wcCc2vR0Y6dOqZQvatDmVEhI2ijnwehtlbO70MeMAdoFrbDthoaGmHLBd6znQ6qOvp2yjjI3tAGXgHSjNsHH9MdLHjAPGBhtFujVr1axQ/fGkj7DRk6fENuxR0VGimumx6TnAiv6MjHTxw5nbNzMOWB8jDvTYOH/mwKj+eNKH7UDbjuqxGdmotv7MnjWbRowYQRmaAQi2UWA7dfIUgYPUtDRyEJnqw/bGbZgeGxa3Tn/zTWrcOII+nzlT/O3Zs4feffddatkiVrS9KvoYtW96DhhbRfTJzcsVHJw7d975/DHTx4wDzl8YXuk/T/rgtlGjRtHMmZ/R01OeFrFYH66nVuoPc6DHpm1DtOXh5zwy5Dqybt06sS01nrF2CDwG7E6ynzTBL9kaNWtS2zZtxCI+rNhH5eCAbV1RadFBXvrbMnEanbU/jybRNX8ZL76vWr1GNKwcZ+TwEc6GhePgWkpKskgLxzt37aJDhw+LKPBLmrBhA3319dcu+aSlpYrrt0ycKD43btok3BOJL0Q0cOBAat+uHTHmwsIi0dnbkrjVmY82f8RjbAUFBc7ybN6yhTIzM0X5cY8WG77Hd+9O8fHx5bCFhdU15YCxHTp8iLZt386QXTjQXxt/1VUUXq8eMTY0ilMmT6akUv/H2DkPc/zSM8u0YGzMATJS0QedRAQs5ETQczBy+HC66urxNO3Fl2jgoIGi4yGrj0iYSPh+hk0hWNHnePJxp30aYWMOtDYKbLL6pJw4QfjBxNj0HOj1ARZgCwmpQ0eTkgjb9m7estnFRhmbO33MONDzk5OT7VafqOjocjaKNLj+6Osp26gWG+wAo+LMgRk2tlHmgNsPfNfXU+ZAqw/SldUHaZu1IbhmpM9KyTYE6aBdOnHylLNum3GAe/maJxtlDbQc6OuPFX30HHD+OI9gxIEW2w8//kB4W6eNp9Vn9do1Ih20ie704XZU34bp9enWvRvdcuut9PVXX9H6deto8KBB9PgTT1BMbMlAhoo++vZNWxaAZ2w45mtaDnBeX7eN9AEHCHzNTB93HHD+IiEL+uC+jh070YwZM6hnr95Uu3Yt5/NHW0+Rroo+2jZEWx5+ziN/ff1l7PZngDHgcAnnHQ6H/edtDoYOHeqYN2+uFLfzF8x37Nu/TypOYuJWR1LSUdM4jz76iGP0qFGOwsIC5z2//f6b43TqKed3d2U/d+6s45dffnF8+tln0tgWLVroSElOtpQPY5DBxnE8ccD38eeBA/sdvXr1ckQ1ayb+br7pJkdebq5HnCr6gAPg47zdfd51552O77//zqHCAexG1nbWrlvrSEtLtYSNcatgW716lWP/gf1S+WixJSRscCyYP99jfBV9ZG0HPKhwIGMHzLWWAz7n6RMceLpHf12Vg/w8z3VGm9cXX35huS5wPBUOVPRR4UCL7ccff3T079/fLfc52VkOcJCSfNztfVx2/vSEbcP6dY6uXbs627MpU6Y4lixd4pDVR6X+aDlgvJ4+Z82e7XUOjPI0w3b9ddc5li1bZqiBv+pPiR3IPRuNymif82bftaxjbM9JDrAfLb6Es2bNWnro4YfF6KRKPikpKXQ8OVnKbZNKPv6Kg9eeN954E6UkJ4ssB110EX322acUVrfyX3tddPFFtPyP5f6iosrkgykoR48dE1NeqgxoG2i1YuC5554jbIRTGaFf//70wb8/cGaNKRg//PCj87t94MpAjx7xtHjRIteTfv7WrUtXCrfoEtPP0OzswEBZfxlH3uyJ22kxnyojyRjVy5McncnJyXYUFuQb6ogR0x7x8Y4izSgy8KWnn3acKS4yjMP4+XPhwoWOr77+ynFaARvi6PPmdM0+ZbBxGu444HvwmXrqlAOjxjyC/Nbbb1nigNNQ0Qcc5GRnW8qH9Uo9ddKyPowNdiNrO1mZGY5ii3bA+ajok5mRXmFssEOMKDMOo08VfazajjY/FQ5k7IDzUtFH9s0A8lLl4NzZM2714HLwJ94qWa0LHEeFAxV9VDhgbFu2bBFtypy5c9zycfZMsXizJtsmWsW2bfs2x/DhwwWW5s2jHV999ZVbPMwxf6rUH+aA07DyefLkCennglUOtPmbYYNeQ4ZcYsiNv+qPFqd9HCj9xrKese0n2Q+/lQLBT/L0N6dTXn4eqe4dg3mgv8z/la4Z/xfCIpyqHD77bCa99OKLwpl/7dq16fU33qCJE28OuCJdfvkVQq/+/fsFHLbKBARb/HXBArr+umspNDS0MqHYedsMuDDwzNRn6Oc5P9PGhI2V/kYK21bfc8899NtvvwmMV155JT3z3LNiYx4X0NX8y4ABA2ny5Mk0YcI11ZwJu/hlDNh+ksu4CNCjbdu20cmTJ6XQYQemjPR0wzjYSnn8+L+UuwaXQnk5OeXO609s3LiRunXtKjrIwCWLLWFDgljNq0/X3Xer2LRpuOMA9705fTo9M3Wq6CBjF6qZM2fSwIEDLLsW47xU9JF1/XX52LH06YwZlvRhXPhU0QeLOq26V+O8VPTZsX07HT9+nJOw9KnHhhX9LVu0IF7wY5SIij6ebMcoHxUOZO0A+eo5MMKiPwcOZIMqB5i6JBMWL14syiQTR4UDFX1UOAA2eNqYP38+ffLJJx47yKou4GSwYdrY//73OY0aXbJ4d968eTThmgmUmGju9oz1UKk/KvqgLsDLg0yQ4YDTdYftL+PH06Qnn6SMjJJF1RzHX/Xny6++El5oOF/7M7AYsOckB5YeTjSY+5ttofPqjEBEGZmZlGfgb3H79h0EjxTwDakPKSdPUpGHBxw6NXBV1KtnTxEduOSxZbi4ldPjMPpuBZs+nhkHcKX1xBN/o3ffLtn9CnP3vv/hexoxcoQomycO9Pmo6INtaM+cKdYnZfr96vFX06LFi4SupjcZXFDRB/rKcqCiD7AVFJa4JDSAbnjKCFvvXr0I2/6is2EUVPQxsx2j9PmcCgeydoC8jDhgDGaf4EA2qHJw7tw5qaxOpaaaameWkAoHKvqocABsa9auo+YxMU7PKGblwHnH+fPCU5Esb7LY4OryjjvvpEceeUTAST5+nK6/7npasdz9egeV+qOiT9rpdOFO1B1X+muyHCC+O2x/ueYaMWiydOkSl6z8VX9cMrW/BBwDdic54CTxPqDly5dTv759lRPet2+/cAGHBreqBkyx+PabbwR8dJDnzp1DPXqU/9EQSOVr0aIFdWjfgVauXh1IsAICS4OGDSgyIoIOHSpxbxgQoGwQ1ZqBpUuWVKid9SV5TzzxOP33449FFnDtdvvtdwhXir7Ms6qk3alTR2rXvp29ULqqCOZnnHYn2c+EV0Z2devWpWsmTFDKuqiwSGwJ3KFDB6X4gRBp/q/z6cUXXxRQ4AP5409KHhaBgM0ThjFjx1L3rl093VYtr+Phtnff3mpZdrvQgcdAs6go4Rs58JCVILryynH0n//8R/i4x9uMW2+7ldLS5KY6BGrZKorr+edfoNrBQRVNxo5/ATJQa5rqSq4LkAxfFWnmzM/FKzh00KyG0Dp1KKJxYyl3bcFBQWLXuuDgYJdsevXqSW3atHE5x1/qhIRQwwYNxQ50fE77ia1Va9WqTfHx3Z2ng2rXpvC6daWwtWvXTuym50zEwoEnbEZJaDnAA+Dxxx4Xu0+dPXuWBgwcSN9++y1FRka4RA0JCaF64eHi4eFywc0XFX2aR0cTnMnLjMi3bt2aWsTESsVR0UeFAxV9MDqO3Qxlghk2pLNt+w6xU6DevlX00dqOVXwqHKjYgRkH7nCCA8y7lwmqHCCfmjWtj7lg06BmzZrJQBPtjWw9VdFHhQPoM3TIJdSqVStLZaodFETt2rYlvBGR4U0FGzhgfTrHdaa+ffoQ5oT/+eeftGzpUuocF0ctYmNdcKvUHxUbjYvrLDZ2csncwxcVDjxhw/NpzJgxLjn7q/5gg6AGDeTswAWo/cUHDJQt3LO9W/iAXn2SgeDdQo/Jyndsvzz7559o3OVXEBZLVaWQdOwY3XLzRNq3b5+APXbsWHr//fc9LqipSmW0sRLt3buXlq9YSZeNHGH6Q9DmyWbAZsCVgc2bNtNdd93lXID96OOP0dSnS7Zndr3T/mYzUB0ZKOskW//pXx15qsQy7z9wgE6beKowgwWvBphvJhMOHzlCBQaL/TDNAi7foqOiy3WQgUsWG0YuTqSckIFGZtjcJQIOsD31+KvHOzvIE66dQB9//F/TDvKxY8cIW1PLBBV9wIHsimkVDlT0UeFABduaNWvowMGDMlSTO2yYBhTTvDlt2rzZJU0VfbxZf1zA6L6o2IE7DnTJO7+CA9mgysGZM2ekssKKftm6oMKBio2qcCCLLTcnh0q8GqRI8aaCDRzo9endpzf9PHeOWGgIAP9675/01FNPERY4I6jUH1kOkM/sn36mEym+50AFm7/qD9pEeEaxQ2AyUHVXYgUmn6aosKr/9OnTwq9rWFiYaLS0HVq8DgoPD3eeP3DggHj416xRgxo1aiTSzcjIoPPnzzvzwCu0oKCSeVRI++jRo1SvXslrT6SFgM5fQUGBM05ERMlUg/PnzgmvCYcOHSI67xCu3fhadlYW7di1i3Jz86hP795UVFhIIXXqiM/cvDynC6+gWrWofoMGIm3EOVPawOJEo4YNqWatWuIasDkcRDm5ORSeGy7KiQtwOab1qACft1puGFvDRg09cgCMwIZFii+9+JLgGivN33n3HbGYJjMrS2DRYmMOjpQ+RMCnlgNtecT0kjp1KqQPOCgsKhLlZn30HHD+jM2IAz3XjI05YBdrWn2ggTbo9WEO8AocGiDosXlDH0x7wY8ypM0c6G2UsTEHjM1Mn359+9DCxUvo8OHDFBsbK34ocv3RcqBSf/QceEMftgPoyPXHF/qAg8aNGonX+Z7aELYdK22IXh/YaEhQMIXUCbFcf2rXDhJ1QcuBJ33YDpo0aeK0HV/owxyg0fKkj95GrdYftEfgICc3l0IyMjy2b1xHGBumaJjVHyMbNdIHU1dmfj6TXnn5FeHt4ssvvhTPihdeeIGs1B+2A7QVsF8ZfdBpx/MP5dBzoG/f+Dmnt1Fv68PtKGOTqT/u9NGWh5/z4IzPHzp8mNq2wdQb0eza/wKMAbuT7CdB8NofD6r27dtTh/btRQOxISHBmTtGwzBPDw0Hn4cLGowKXjpsmLhva2KicFXDkfr36+d8KHGctNOnqbi4SKSF+5AGKjuHsaXzrtA55Th7Shc/8bVde/YI91pY8IcKjE90PuBGZ/uOHZwU5RcU0MABA8R3xMFDjsOwIUMotLSzxflgBBEddpQTAQ9XrZsdI26ArU6dOh45ALaNGzeJzTcy0ktwoIM8dMgQMSqi5YCxuXCwt2QBmJYDbXm6d+vm7IBxeVT0wcME5TbjgPN3wabjQM81Y3OnD2N2p8+evXvp7Llzwj59oQ/bDtwUOhwOJwd6G1XRp0GD+rR33z4x95LLinS1NqpSf/Q26i19YAfQkesPY/a2PkjXav1hfTy1IUb6JG4v8cnM/JjZKLdv0EvPgRV9YKM5OTlO2/GVPuAgMyvToz4u9VSi/oBrcIA28djx4x7bN20d8aQPa6DF5k6fO+68g/Djdc3q1TTrx1l05uw5Gj/+atE2u6s/bAewWbZfq/qwHYSEBJfjQG87/JzTtm++0IfbUcbG5bJSf9zpoy0PP+eRtvY813v7M/AYsOck+0ETzEm+9757afSoUZZHktHooEJhoZOnUSAUgTtfGEmOjY2xPMqAB1Pb1m1cRpIPHTwk3I5dPnaM+KXPv7D5lzyPVLZu1co50sK/iplO/SgDOrBt27ah6OhoJzb9KJB+pJKxWRlJXrtmLf317r8Sd5Cnvfgi3XffvQIO/8rXY+NRoN27d1NMTIzoYPEojL48zAGPMqjoAw4aNW5EXeLiTDng/BmbEQdm2NzpA/vQBr0+zIHVkTA8SIywmY0GMradO3cKe8ZCO7ORMMbGHDA2s5FklAuviX+Zv4Am/GW86OizPlobNcOG+Gb1R2+j3tCH7aBzx47O+uMLfcABOhgYrfPUhrA+6HR6akP0+sAO4jp1lhpJXrJ0mWgPtBx40oftQGYk2chGPdUf5qB5dJRHffQ2arX+YNrEqtVrqE/vXhQZGelRH27DGJtsG+9JH3i7eOihh2n9unVUs1ZNGj16DD344IPUsUN7Jwd6fdgOuP7I6MPt6MpVq6lrlzgXDvT66EeSmQNv62PUxlutP+700ZbHaCR5wcKFNHL4CIqKjtI20fZxpTJQNicZIzqaECj7Zl9YOIYOHeqYN2+u4f7wZnu179u/z5F2Ok0qzokTKY6srEypOIcOH3Lk5+W6xFm4cKEjIWGDyzktTuCSxbZ8+R+OkydPmKapTZ+PjbDxNe3n0iVLHB07dHBENWsm/j799FOpfJKSjjrydBxo0zc6VtFn0aKFjsTErVLYrHKgxaiijwoHKtg2JiQ4Dh85LMWBVWzLli1z2q2KPt6qP1otjI5V7MAqB9r8wIH2u5VjVQ6Ki4uk8po1e7Zj165dUnFUOFCxURUOZLHlZGc5vvjyC0dK8nEpDlSwgQMr+uTl5jquvvpqZzt61VVXOnDOit3gHlkOEGfBggWOU5LPBRUOVLD5q/6sXr3KkZmRbplnq3rY91WkH1nWLbZHkv3wa6UqebfAFqFzf/mFbrrhRjEy5Ad6KpQFfCDfd9994nUhXou98uqrNHHizRVK045cNRlIS00Ti02riu1WTZZt1BcyA/l5+XT/Aw/QksWLRTG7dO1K3333XTm3mRcyB3bZbAaIykaSbe8WAWoPWNyEV1IyobioyLk62Wq8woICwitDDonbtlNc5zi3HWTgksXG6ct86rHp42o7yPCBnJCQQNddO0GaA7xq1nKgz8fou4o+iAONZIInDozSUtFHhQMVbEZ4PZ2zig1uCuGNBa99VfTxRv3xVBZcV7EDqxxo80c+skGVA2yz7OugwoGKjapwIIsNC7Dh4eLcuRJvEla5U8EGDqzqE1Y3jD77dAa9MG2aWMC7a+dOmnDNNZY2HZHlwGqZ9fepcKCCzV/1B16fUCY7BCYDdic5MHWhP1asoCN//imFDosmUk7IuVlbu349ZZYuuMO8TrHStq3xxiMMBrhksam4gNNi47z5E6OGDz30kHME+ZOPPxau6lQ42JKYKDx9cNpWPlX0WblqFQGfTHDHgVk6KvqocKCCTcUFnAy2jh07iIVAKvqo2I4KByp2IMMB2wU4kA2qHGBOq0xQcQGnwoGKPiocyGLLz8ujn+fOpdRTqTK0ifZDpY2X0QebHbVq3Ypuu/12gQ2Lzp+ZOtUjTlkOkKCKCzh/6ANs/qo/S39bRumli809kmzf4HcG7E6y3ykP3AyP/HlUrLjGwphADugg333PPcLTR+3atemDDz4o58s5kPHb2HzHQPPo5pSbl0t5efKjqL5DZadsM1D1GLjhhusJPuYR5s2bR599NrPqFcJGbDNQQQbsTnIFCQzE6Hv3luwyJ4tty9YtFN+9xD2bbFx/3Y8pFv369ROrsNFB/uijj+jyKy73V/aVns/uXbto7py5lY4jUAHAV2+XuC7CHSHcWtnBZsBXDMCN28lTp3yVfKWnixHlf773Ht1y6y0CC0aT773nXktTLyodfAUBwH1eVmaZb/0KJmdHr8IM2J3kKiyeEfSMzEwaN26c0SW35+DWrbiomNq3b+f2PtWLjRo2ouDgko1PVNPgOch4dQi3QJ/M+KRKdZCxsDAoKFi1+CJefkEhffDvf1cojcqMXDWQVSEAACAASURBVL9ePQqtU8enELp27UI1atSgUwHagfGGHfiUQD8k3rRJE+F/3Q9Z+SSLpKQkGjXyMlqyqGSBm2wmNWrWpLCwulSrdMMl2fj+uh8d5enTpxO2rUbAiLLVOcpWMEZGNKbg4Iq1iVbykb1n37799P7//Z9sNPv+C5AB27uFH0T1p3eLn37+mX6ZO49mfDpDqmS//jqfWrZoQd3ju0vF89fN3EHG6GBsixb00YcfErZWrW4B88Z79OxFCxbMFz60q1v5rZb3xIkTNH/BQrrh+uuqdGfMannt+/zLwOczZ9LTT0+lDQkbqk09/Mfrr4vtq8F0x44dadbs2Res1wtuZ2d+9hn17dfXv8Zl5xYADNjeLQJABN9AWLxwEY0ZO0Yq8b2791BqWip17txJKp7MzVgpjIZHJWg7yJgjt3rVyirZQYZ7vdycXBUKnHEwsjNixHD6bdky57mqdIC3AP7wjBIVFUXYSASeLgIteMMOAq1Msnjg2aEqr+hftGgx3Xr77codZLSFVc2rwdSnn6Zvv/+OmsfEEBbzeWNEOS8vT9rDh6ytqdzP7exzzz2n/NxSydeOE3gM2NMtAk8TgQiNkH4XLk9QT544Qes3rKf4+B6ebnVex+56azdsoFYtW1GQxddewCWLDSv6U1PTnPlaOTh86BBt2bLF6cUCI8jvvP02BYeEmEYHB9jhSCYcS0oSbrlk4qjos3HTJjp0+JBMNgQOCnWuvAYPvogSEjaapqOijwoHRthMQZVe2Lx5M/159Kin21yuq2CDPvXr16ODB63zrWI7Khyo2IEqBy5EWviiysFZSXeV8OwALwUyQYUDFX2scLB27Vq66447nPBlsRUUFFCJV4N0ZxpWDqxg06cDDmT1MWvfhg4ZQu+8+47IAvdovV7IcoBEFi1eIu3hQ4UDFWytWrWixMREOpp0TE+p6XcVbFu3bBXuAE0TtS9UKgN2J7lS6TfP/OChQ5Re6prN/C7XK5hHVVx8htq3a+t6wc233Xv3UnFxMbVu3crNXa6XgEsWm2sK1r7hQXr11Vc7vVi8OG2a2w4yUsVCmuycHGsZlN51LDmZ8gsKpOKo6COVQenNR44eJWx5qg09e/akhI3mnWQVfVQ4MMKmxemtYxVs0AfbXhcWFRG8oVgJKrYT6BxYKbf2HlUO/PF2QMUOVPTxxMGuXbspJjaGOsd1dlKngs0ZWeLAEzajpMCBrD7u2jd0lLVzlHkxXyBzoIKtUeMIQefGjQlGtBqeU9Fnx66dlJubZ5iefbLyGbDnJPtBA8xJHnbpMBowYAC1b9+eOrRvL0ZiNySUVb6Y5s0pPj6+3Hks8rl02DCB8vc//hAdRoaMfeUjIkoqMvZ//+OPP+jI4SP07LPPiLRw3/4DB+jAgQMchcaOKZmKgekP8AN58uQpsXgkMjLCeW3d+vXCOwBH6t6tG8XGxtKxY8cIK7o5NGrUiAYOGCC+6uMMGzKEQsPCxDVg48DlxPdt27bR8eRkvuTCzUf//Zg+eP//6Py586T1YmHGgTtseg4YG3PgBEDkkQOM0mp1k9EHGwjUoBoUGxvj1EfPgV4fxqbNB1zfd8+9dNPEidSjRzxZ0UerAdJkDnCsvcb2ifN6bHxNhQO9Plo78KU+WVnZhEViw4dfSma2o+dAi03PgVV9MjQ/cPX6sB00jmjsrD9aDaqTPto2JFD0Af8IWmxafebOnUsRjRrTK6++It5Aaf3pch1BfL3t8DXUn/UbEsQGH1jAFxrquY3X1xGtjeqvmdkoMPE1fXutt1FBgI4DvT7r164T3oVwL54Pk5+eIn6YarHpOeD83bUhemz8nNO3IWb6AA+3b/o2njXAPXpszIEW2ztvv0ORkZH0zTdfC0r0HDA2vQZaDrTlMTqP/EYOH0FR0VEiD/tfIDBQNieZynaoxlFF9rq245rxN3ToUMe8eXOl+J2/YL5Ddu/4WyZOdMz+abblfJKPH3d8MmOGI+3USctxUEbgksW2aNFCR0pysqV8li5Z4oiNiXFENWvmaN2qlePXX36xFA/YEhO3OpKSjlq+H3HWrlvrSEtLlYqjog84AD4zOzE6/9vvvzlOp54qF+epSZMcffv2dRQWFpS7pqKPCgdm2IzKwedWr17l2H9gfznMfN3oUwUb65Obm+OY8emnDnwapa09p2I7Khyo2IEqB9ryWTlW5SA/L9cjv9r8v/jyC+m6oMKBij6eOJhwzTWONWvWuJRXFltOdpYDHKQkH3dJR8uR0bEnbEZxwIGsPlx/jNLTnps27QXRTqOt7tunj+Pw4UNS5Zk1e7ZfOJDVB2UEB3t273Z07NDBsJ3V8sDHKvqU2IG1ZyPnY3/6ur9Z1jO2p1sEwo8WAwz4VdusaVODK8an8vPyCb9YL7n4YuMbDM5u275dLNarV6++wVXzU8Algw0pWXUBt3nTZnrwwQfFTnrYanrd+nVSbt5axMaKESBz9OWvtGvblsLr1i1/wc0ZWX2QFDioK5lP506dKDy8XjkkV159FWGeXWLitnLXVPRR4cAMWzlAmhMqLuBUsLE+4LtN69a0c+cuDQrjQxXbUeFAxQ5UOTAuqflZVQ5k3XipuIBT4UBFH3ccpKWl0fbt26l3714uJMpig+s3cCDLmztsLoA0X8CBbD5cfzTJGB4+9+yz9OabbwqXnBjpvf2226X8KKu4gFPhQFYfFBYcdOrcibp3706bN28xLL/+pAq2gQMHUv0Gcs9gfb72d98xYE+38B23zpT94QIO0yCeenISLVxUNrXBCcDgAKurZ/7vC7puwoSAqaBY7X7RxZeIzh+mFyQkJNg76Rloh1M52dnUsWMnenLSkzRp0iSTu+zTYODw4cO0YUMCYQcxO9gMVISB5StW0P/96//oxx9/qEgyF1zcL/73BU2ePFmU677776dp0164YMr4wvMvUEhIMD3z7LMXTJnsgnhioGy6hT2S7ImrKnJ91cqVznmuViDzFtSB9Av2b08+KTrIwP/666/bHWQ3QtarX5/GXXUl7dheNkfcze3V+hL8fxcUFhBcr9nBZqAiDGxYt16sA6hIGhdi3Jtvvsm5hfWMTz6hadNeJLzdvBDCoMGDaffuPRdCUewyKDBgd5IVSPNHFCwQOHzkiOWsVq5YSTEtYiklJcVSnG3bt4ktqOHKKCs9w1Icvgm4ZLAhXsKGBNNOypE//6SrrrqaZv04S2Tx2j/+QTfceAOpYNuze7dlDrg8cDOnXWjF5919yuqDtMDBwYMH3SVb7po7Dp6Z+gwtX7GcsIWqNqjoo8KBO2xaPNrjHdu3E3Z3lAkq2LT6wOdpXOc42r5jp9tsVWxHhQMVO1DlwG2BDS6qclAo6R1m8eLF0nVBhQMVfdxxsHTZMrr88ivKMSeLDQvKwIHsDzd32MqBKj0BDmT10dYfs3S151HH7rjjDhp52UgxVQ6bPd08caLHjvKKFSv8woGsPigbOEAYPHiQmMpopdOvos/sn34O2N1BtRpX12O7kxygymPTBewuZyXAxRUawgH9+9O5c+c8RsF2vdjUol3bNsJF1rnznuNoEwUuq9g4XkZmhnBPx9/5Ex3kCddMoIQNG8Spl195he68s8T/KNx3yWIrPnPGEgecPz6LiosJHgdkgow+nC44gPN8meCOgzZtWlOf3n3KzZdT0UeJAwV94J6voLBQhgKv6IOtquHWKiPd3C+tiu2408eskCp2oKSPJM/Aq8qBw+EwK67h+VOpqdJ1QYkDBRs14+DkyZN05PBh6tkjvlyZZLGhnQYHcL8pE8ywuUsDNiqrj0r7dvbcOXrt1dcIa0kQ1q9bRw8//LDbzTjSTqf7hQNZfYAfHCDUr1+f+vXtS6vXrBHf3f1T0Sc/P094cXKXrn2t8hiwO8mVx73Xcn7zrbdo0KBBFFbqcs1Twjt27KROnToRfv1XZkhLO02333obJZeOLML35t13/7UyIVW5vAdfNJgWLlhQ5XD7GzB8JreIiaEFixa5fWj7G5edX9VhAKOew4cPr/R2M5AZC6sbRl9/9RVhXjJcdy5YsIAee/zxKl/nLhlyCS1ZvDiQqbex+YgBu5PsI2Irmix8QIbWqWMpmbDQULr99tuE54QQN7vRIbHU1FTC6C1G1hAaNmhAQUFBlvLhm4DLKjaO0zw6WvgD5e94dYVtTbFrU0RkpNjuFNueaoMKNngz8MSBNg8cw+NCkOQPBhl9OD9wgHgywRMHt912O1173bUuSaroo8KBJ2wuoEq/NGnShOobeOswupfPqWAz0qdbt27Caf/effs4aZdPFdtR4UDFDlQ5cCmghS+qHNSsKfcoadumjXRdUOFARR8zDuCVBNPAjIIsttpBQQQOQkNDjZIzPWeGzTRCaRsvq49R/XGXB64xB+goY+Hee++9J6JgGt3zL0wzjN6qRQu/cMDYDEGYnNS21ePGjaNmUZ79GKvoU+LlRO4ZbALZPu0DBmzvFj4gVZ+kP7xb6PM0+z533jwiB9FVV11pdotfzmNhB+atIcCF0K233eqXfO1MqjcDX3/zLTVu3IjGjB5dvYmwS28z4AcGsBvfPDxziMRACHbrs4PNQOAzYHu3CHyNfIAQc5dPnDgp/Mb6IHlLScL1HDrIWAGNMOHaCYSV0XawGfAHA8MvHUbJySlUVOi62NEfedt52AxUNwawCLtjx46i2H974m8uO7ZWNy7s8lZNBuTekVXNMlZJ1Njm8rSbRUZGhcLCkuzsbKNL4tzOXbuEU3lutHASnhCw0lomAJcsNsznS0lOEfPTMIKMxWVY4PHmG2+azvFTweaJA6Nywgl+viQHKvqAA1lXQiocqOijwoEKtk0bN4npPkY6mJ1TwWamT1RUlJibvGdveZdOKrajwoGKHahyYMap2XlVDs6cOWOWpOF5rOiXrQsqHKjoo8KBLDYs4AUHqadOGfJjdlIFGziQ1ces/pjhwnkjDiIjI+jzL/5HzWNixNqTUSMvo88+m+lMZuHCRX7hwAibE4TJATiQDSr6YHtsLKS3Q2AyULkrtwKTE5+gKioqFp1RzEXDHODz5865uO7CDkzBISHO8wcOHKDWrVpR3dBQqlM6bw1ufLSrlDH3tmatWgIvOrpwrdWwYUOqExIi0sIFNI5nz5wRnwcOHqQrLh9LIXVCyHH+vFi9i40WQkrnJIeWLvwrKix08faA3ZqwyA+jwFiNferkSZFneFgYhZTOmy4udPVEgc1AapTOUwS2goJCeuPNN51u3rp07UozP/uUatQgZyddzw1jq1GjhkcOGBtzEBIc7MTGHLCwjI05OHo0iWrWqEl4weKJA9ZNRR9wUFBQQNg0BVoj4FjrkYTzZ2xGHKjoo/8hxBwAA64xB7BNnqOux+YNfeCvGHas5cCX+mhtlOtPmzZtKGHTJrGjlqf6o+fAG/qwHUBHrj++0Ac2Gtu8OanUH6M2xKz+wEYb1Ksn5pYyP2Y2yvUHngNQF7QcsD6cj759YxutXdpW+qr+GLUhZvpwPWVsVusP0gMH+fkl9cFTG891hLG504c1YGwy+nA7yu2bUf1hfczaEL0+zZo0oS+//ILGXTFODEY8M3WqmI8+etRlwtONngO97bAdMDbmQNvGe0Mffs6xjcrUH3f6aMvDz3lwyOex823TJk0pvF44U2t/BhAD9pxkP4iBOcmjRo+mQYMGUuvWrcV0B/jl3ZqY6Mw9ulkz6hwXJ/z14jwaUKwOxnbJ8FyBIPxdanzi9uzRw7n4BT4dUVGxQAMPRqSFgFGEI0eOUHp6Op0pPkM3li48wQNp7fr1oqOOhh3xLh02TMSBT8nMrCxxjH/Y1jQ6Olr4H96zd6/T/VtkRAT16lWyPevmLVsoSxNn0IABzo4tsP3yy6/09ZdfijRHjxlNb731NqWlnqKU0g43Lui5gf9fYMPCRE8cwD80sDEHEY0bO7ExB1wgxsYcoOMPrq1wwLqp6IM4aCRbxsY69RF+NTUcsAaMzYgDFX3Y56eeA3zHNeagbdu2zuk4emze0Ke4qJhq1qopRnP1NqrHxhwwNhV9tDaqrT9JR5NoyJBLhM0xB2w72vqj58Ab+rAdNImMdNqoL/RBPujIoEMlW3+0HHiqP7BRdDDQGWd+zGyU6w8W7gYFB5GWA60+0ETfvrEdxERH+7T+sB1o2xAzffQ2arX+bNm6lQryC4Q+YWGe2zfWgLG504c1YGwy+nA7yu2bWf2BPtyOcv3xpM+hgwfpww8/EhtGoQ14avIU6tihg1horeVAbztsB4yNOfC2PvycYxuVqT/u9NGWh5/z4IzPo9M/cvgIior2vDAQ8ezgDwbK5iRjZFITzjscDvvP2xwMHTrUMW/eXClu5y+Y79i3f59UnMTErY6kpKOGcebMmePYs2d3uWu//f6b43TqqXLn3XEAXDLY9uzZ44hq1kz8XXnllZbzUsHmjgOzMq1dt9aRlpZqGRfSUdFn0aKFDuAzw2F0XoUDWX2QrwoHKthWr17l2H9gvxQHKtg86bN+/TrHiuXLXXCo2I4KByp2oMqBkU25O6fKQX5erguX7vLAtS++/EK6LqhwoKKPCgey2HKyswQHKcnHpXhTwQYOZPXxVH+M9LXCQU5WpqN1q1biWdC3b1/HN99+6/AHB1aw6csEDvTnPH1X0Qd1ISU5WTovT1js6xXpy5Z1i+05yf74UaKQR0zz5sKljkzURg0bUl0DX8mY/5aekUGxsbHlksMvWxWXaXCpYyVgxGjKlCniVjhl/9f//ctKNHGPCjYzDtxlitEsWQ5U9HGHweyaCgfQxqo+nK8KByrYOD+ZTxVsnvRp2bIl/ZmU5DKtSMV2Ap0DGZ5xryoHeEPi66BiByr6qHCggk2FLxVs4EBWH0/1xwi7FQ7C69enDz74QLy5O5aURN99+61RUm7PqXBgBZs+U3AgG1Sw2S7gZFn27/32dAs/8F3ZLuC2btlKaadP08iRI/xQ2rIsMJ/z4UceoXlz54lGcc6cOdS7T++yG6rZEebNaeekVbPiB1xxf5w1i/r27Svm/vsTnG0H/mQ7MPPCDp/5eXkUGhZKtWpVv6VB//vfFzRl8mQhTr/+/enDjz4k+A+3g81AYDBQNt3CHkkODEV8imLX7t3UtUvJ5iE+zUiTODYsGTV6jOgg4/RHH31UrTvI4AALanjBnoYq+7CSGOgSF0c7d+z0e+62Hfid8oDLEPPrw+vVq5YdZIhx22230pSpJZtHJWzYQDfdcCNlZGQGnE7+AJSbk1PldyT0B0+VlYfdSa4s5j3ku2DhQpJ1QQNXMnB1ow1Hjx4leCWIbm78Kx0LUtLT0rRRPB4Dlzts2G76phtvor17StxswVcmVu6eknR3pILNiANPBVq3fj2dPn3a020u11X0Wbx4MQGfTFDhwJM+RvmrcKCCTcUFnAo2K/p0aN+eTp46RcePHReUqNiOCgcqdqDKgZHW7s6pcqD3LuAuD1xTcQGnwoGKPiocyGJDx+jLr76iEykpnqhyua6CDRzI6mOl/rgAIyJZDh5/7DG6bNQokQx2Xr3zzjsJ0/M8BRUOZLEBAziQDSrYfp47l1JT5Z7Bsrjs+9UZsDvJ6txViZg7d+4ijJj5K6CRu/XWW+jI4cMiy0cff4zuvPMO4a3j/Lnz/oJh5xOgDBQVFzm9o1Q2xKDgYGrfvh0tWbbM3lzEz2Lk5+fRmTPFfs7Vzi7QGLh6/NX05KQnxXS89evW0eQpk+1R1UATqZrjsTvJF7ABwK9kckoKtWzRwm+l/PDDDwlzoBEGXXQRPfnEE37L287IZkCWgRaxscL9XXJKsmxU+36bAZuBCjJQo0ZNumXiRPrr3XeLlGb9OIt++/2PCqZqR7cZ8B4DdifZe1z6LaXdu3bTv//9H4/5JR0/TvXg6aBBfY/3euMGvDLD3GOE4cOH07dff+Wcgwt/rfCNaQffMhAX10WsHvdtLuqphwSHiFEj9RS8GxM/IMPD69KRI396N2E7NbcMhIXVpaCgYLf3VPbFDRsSCAvM7OA7BuADH4uZJz/1lHP76qefflpMg/JdrhVPeevWrS47B1Y8RTuFQGXA9m7hB2W87d3itddeE6ifeeYZt+gXLVpMMTEx1K1bV7f3eePi3r376OabbxZbj2Lb6wULFlBY3TBvJG2nIcHAu+++R6tXraIfZ/0oEat635qamkrzfvmVJt50k9iNsnqzYZeeGZj69FRq2aolPfDAA3zK/vQhA1jLMnr0aOczZNasWRTZJNKHOaonvX37DnriiSdo6dIl6omUxsT89FD8WKhd/bycVJg8nyVge7fwGbX+SHjzps00cuRlbrPCg/94cjJhcZKvw88//UzDhg4VjVvzmBj65rtv7Q6yAelYPAO3eL4Mt95yCyVu20bZ2dm+zOaCSrtJkyYUHRXldjGqNwvsDzvwJt7qmtbKVStp6NCSXUi9zQFcwAmvBufOejvpKpteZGQEff/9dwR/+ngr2a9fP1qxfHlAlqd792504sQJSj5e8WlawsuJ3UEOSJ0Byn7/HaDSYJXsSc12xQwTW1hu2ryJevSI51POz6SjRykjPV0sfFiydKnYXjikTojzutEBtt3Ny8kxumR6DrgYGzrsT/ytZN4xGrdPP51h6O8SK/pPpJwwTdPoggo25sAoPbNzBw8epNzcXLPLhufN9DG8ufTkylWrxNbZ7u7RX5PlACMv/fr2pdWr1+iTcvtdhQNZbACwZs0aOnDwoFss+osq2GT1iesSR9u2bxf1R5+/u+8qHKjYgSoH7rAbXVOpP+BA9scfPDtAI5mgwoGKPuAArgEzM7OoSxdri55lscFHsvBqcCpVhgLylz6y9QeFkOUAceDlROvho127djTz85liSha2hb7nnntFulqSVDhQwebJPgcPGkTrEzZooSnpgzYxK7N6ur9zIS9Av9id5AAVBqPA2Qad1/kLFlL37vGGO8RlZGZSXn6+GEHOzc2j1q1beSxdysmTVCQ5uglcjG3aiy9SYUGhyOemm2+mHj16eMzT6g0q2JgDq3ngvtS0NGkOzPSRydfKvSocdOjQgXbu3GEleec9KhyoYHNmKHGggk1WnxYxMVRQUOC0a6vwAp0Dq+Xg+1TqDzg4d+4cJ+GzTxU7UNEHHGzdto3i48sPRJgVTgWbWVruzvtLH9n6A8ze4mDQoEE0ceJEQQPeiE2ZUuJPmXlR4UAFGzhwF+J79KD1a9e53KKC7dDhw1RQ+gx1Scz+EhAM2HOS/SAD5iSPGj2aBg0aSK1btxYjvBkZGbQ1MdGZO7YO7RwXR3wev6Jr165N4XXrEhoNBIwOPv7444RO0D333kM9e/SgRo0aiWvwhXnmzBmCk3o4ZcdW1Ddcfx2dOHmSjhw54szn0mElrw8LCwpo7fr1onMYFBQk4vG1LVu2UGZWljNO506dKDo6mlJSUsRI6NmzJa8Il/+xnGZ88om4b/BFF9Hd99xNWKCHMGjAAKoTGiqOgQ3lQT6xzZuLcuICRnnwEOOg5wadd8TB4g7mYO3atVSo6dQzB4yNOYho3Jh69eolkj585IgLB4yNOSguLhZcgztPHLjTxwwbQICDfLHjXm1q3bKFKQecP2Mz4sCTPuvWrSe4U3rhheedHCB/bWAOGBtz0LZtW2GfOO8LfYqLisUCTnRKYe8IvtQnMiLCyYEnfeAvGQtdO3Xs4MSm58Ab+rAdNGvaxInNF/qgzqE+1gkJka4/2nrqSR/YaHBwMNWoUcNy/YGryKDgIMJ2wVxPPenDNhoTHe1TfdCGwMtCw4YN6I033hA2aqYP11PGZrX+bNmylXLzciksLIzqhoV51Ic14PbNnT5GNmpVH25H+fnjrv6YtSFW9OF2tCC/QAz4hIWVtfFo344mJdGH/4GnpC2C/7fefpuGD79UPH+YA20b7w19+DnH2DzVn71799LSxUvE+g93+mjba37Oo1B8Hm+HRw4fQVHRUaKs9r9AYKBsTrLdSfaDHugkP/LII3T52DFiYw90/M6fO+cyesnbFfP5P1asENvltmnd2tnZ3LRpE427Yhz99+OPaeSI4aJxqVmrligB5jnu3rOH6oXXo1Vr1tCwSy6hNu3aio7z2TNnnKXEbl8IjvPnRccVHeXOHTuKzjZfKyosJMyZ44AGFosK4FIODwPsprd02TJ6/R//IPg+fuLJv9HjjzxK586XjSbh4VyjZsmLCmBbsXIVde7cScz95F3n8IpWOwKFTU+03DC2xo0bOznAQ8nhcDA0JweMDRw0bNiQYpo3p5DSDjsaVS0HjI052LI1UXDdqFFDsSseEjfjwJ0+ZtiQHnOA+a/dunZxev3Qc8AaMDYjDsywMQc7du6im2++iRK3bqWwunUFV8hfG5gDxsYcNGnaRGiA83ps3tBn0+bNFBkZSW3btHFy4Et9kA/bgSd9Nm/ZKt7CjL/qSic2PQfe0Ad1AXbQtUucE5sv9EEbMmzIENF55R+sZhyw7XD9iY2JcXLgSR/YaM/4eLH4iPkxs1GuPz/NmUvolGg5MMOmt1HMXTVrQzj/itQfcPDUpKfoxZdepIsvvlhUGzN9OB/Z+pOenk6Lly6jiwYNombNmnps31gDK/oYcWBVH7YDfv64qz9mbYgVfdgOFi5eQr179nThQGs7b06fLjrLGDD63+ef08BBA8VzTt/Ge0Mffs4xNk/1B2+e+vTpSzt37hQ/+PCMMdJHWx5+zsOo+Pysn36yO8milgXSv7JOsr2c0k+6hIQEOztgyBKdW27MtBD4fPdu3cQCBn644Z4NG0rmP2FEWh8X39GhPpp0jPALGx1kBHQ68acP6MAiTlznzhTRqDEFa+Yuc6dCHwcd5dDatcVI7jtvvy06yGPHjhW+kN2tzEU+oaF1xEOUH25IW3uszYs5MMKm5UMbh7GBA6SrLYMnDjp0aE/169VziaONr82HsRnpY4YN8WU5qIg+nTp1pNiYWDp46DBh0PnJ0AAAIABJREFUgQnnry2H9hjYmAOtrfhCn9A6oaJDoE3bl/podfSkD+zt0KFDlJ2dQ5FNSubya3FqOauIPlwXtNiggVlQ1Qc2qk/XjAN9/dGW25M+4K1BgwYuq/O1ZdOWi+sPOlhY0a+9zwwb4ms50GLTHmvzqYg+zZo2FfPme/fq7UxSzyNf4HxU6g84wAiqttzaY84Dn6wBt2/acvM17f04Zmwy+rAdcPvmK33YDkINONDm+dyzz9LBg4doyeLFdP8DD9D7H7xPffv0KdfG+0IfT/UHefbv3582bdlMl1x8sdDISB9tebQa8fn47t0pPDxce8k+DiAG7JFkP4jhLRdwd9x+BzVs3Jjee/cdU9S//PKr6PB06tTJ9J6KXICrtzvuuEPsqNela1eaN3eu7cmiIoT6KO5zzz5HUVFR9PAjD/sohwsz2fXrN4i3LxdffNGFWUC7VB4ZwMLK/3zwb/r6m6893mvf4HsGMDUHgzHweIHw9+efpwcfDAy3fO+88w5lZWaJtw6+Z8LOwX8MlI0k2wv3/Me6VE77Dxyg0+npzjiY94c5e489+qjznP7g2LFjdCo1ldq3a6e/ZPodc6n0r6rMbl62dBmNGT1adJDh6u2LL7+w3EFGHniVJxNksHG68Loh6/4MvGGeqEzQ62MlLjjA63uZoMIB7KZ33z7Ck4TVvFQ4UMGGeX54dSwTVLCp6APbiYpqRgcPHaLiQms6qXCgYgeqHMjwjHtV6g84kNUU7s9k64IKByr6YJ5p3359paiTxabqAs5f+qjUH1kOQDDWzpzz4AYP/vbhVhTPHISXX3qJFi1a5FN9kDg48BTgInBz6bxp3KuiD7w+ydYFT7js695jwO4ke49Lr6Z04MABwrw1DtgRLLp5c2rTpjWfKveZdDSJmjePdnntWe4m3Qks6rPaSX566lQxjxlJ3HP3Xw1dvemSd37F6Exqaprzu5UDGWycnkojdez4ceHZgNOw8qnXx0ocFddfKhzAbjDlZmtiyfbgVrCpcKCCbfPmzfTn0aNWIDnvUcGmog9sB3MGsdAN3g2sBBUOVOxAlQMrZdDeo1J/wIF2zr82PbNjuD/bs3ev2WXD8yocqOiDzlGPnj0NMZidlMWm6gLOX/qo1B9ZDsDlosVLKNWCG7zm0dH0+GOPOel/7rm/S3UsVbCBA0+hY4f2tDEhwXmbij5Lf1tG6ekZzjTsg8BiwO4kB5Yepmh27d5FHTt0ML2OC3A/gwU3vgjv/fOfdCwpSSTdvkMHGnrppb7Ixk7TSwxg1KVmzVpecXbvJUhVJhnsUrlr924qsjiaXGUKZgO1xAD84zZr2szSvfZN/mMAi5Gxyx0W8eFZ9PY77/ovc5Oc6tWvT+3atyNMQ7TDhcmA3UmuIrquXL6CBl802BQtXlslp6SIxX6mNylemD9/Pr3xj9dF7H79+9P06dNFQ6WYnB3NTwwYObv3U9ZVOht4XYAXl4OH5DY9qdKFtsELBubN+0UswIL7NzsEFgNYVDh5ymR6ctIkAexf//wnffftd5UOcvCgwbR2rdzmTZUO2gZgmQG7k2yZKv/e2L59e4LrMw47d+2iQYPMO8l4NRTVrJlwf8ZxrHzCN7HZymDEx05FTzxesqPehAkTaO7cOdShYwcXbFbywesyrOqXCZ6wGaXVrFkz6R8KGH3HSnuZoNfHStxGDRtR3VKXbFbuxz0qHMBu8DdkyBDatKHsVaC7PFU4UMEG12f1w+u5g1Lumgo2FX3YdrBrITyE7N7jeTqACgcqdqDKQTkyPZxgDjzc5nIZHMA9oEyAazH28W41ngoHsvq8/fbbNKB/f5+3IZjW07RJE+Ff2mr5cZ+/9FGpPyr6tGrRQrrtvemmG2niLbcI2iZNmkQJpV6f3PGogg0cWAnDR4ygNaU7nKroExZWV/iOt5KXfY//GbC9W/iBc294t9iQkED9+/UzRfv9Dz/SoIEDqUWLWNN7ZC/AyfkNN9xABw8cJNuThSx7lX8/FkoWFRVbXlxZ+YgDBwG4+/qbb+mKy8dS44iIwAFmI/EpA2vXraPY2FhqEeu9dtSngKtp4qifN950E61auUr8cPjPRx+K519l0AHvG7v27Bau6SojfztPXzBge7fwBas+TdNdBzntVCrl5OR4tYOck51NI0deJjrIKNgrr75id7Z8qrD3E8frSawMt4M8A+AuOjqKjienyEe2Y1RZBsRAg91BDnj9UD/ffHO6wInFcteM/0ulzQtGGwvfzXa4MBmwp1sEqK7YZhPui6yElatXC08TYgvdFLmHOtzKZRmsrH31tX9QZkbJittbbr3F5Vc6cFnFxvgTNiRQ+unT/NXSpxk2d5FVOMD2oNiKVCbI6MPprlixgnbv3sNfLX2qcKCijwoHKth2bN9OeEMhE1Swqeijt52WLVvRn3/+6RaqCgcqdqDKgVvwBhf1HBjcUu4UOMBueTJh8eLFYiqXTBwVDlT0UeFAFhvWkMz+6WdKPXVKhoKSreIV2nhZfVTqjywHKDjqguxzgfWBp6dJk59y8jdlyhRTN6Mq2MCBbGBsMvEOHDwo7YJUJn373ooxYO+4VzH+LMcuKCgk+AbF3D3stAS/otiWkgPmqGFuMF4jYbtLvMLJy80VfiR5HisaVmyDygHzaJNTTlBqWproxObm5VGtoCDh0o3nGcMvrdY9U2hYKNWqVbLFNPLJy8+nnNwcqhVUm8LrlcwV/d//vqDPZ84U2XTu3Jmee+45ccyYgQsBruM4H5RNG4ANv/bhDxTujtJOp4ntiLFNMsqPoMeGbUGxkxRzwNhqhwQ75/LqOcCuRdhxCn4msdjKiAO+xviAoWbNmk5sSDM3N5eCapdxgLJpt8xmbMyBVX3AAQL4QT5hYbmi3GYcWNFHj405YGwq+jAH0M0MG3NQEX3gw7lGzVrUuFEjp+3o7cBX+pjZKOvDtgM84KBd2za0avVqSk1NJewMhmBFHzMbdepTagcy9cdIH70d6PWBjaLM2HnNrA1h2+E6whxosXnUJz9f1J+zZ8862xA9Ns6HOYA/d8ybR7kYmyd9jDjQY+M2TG+j2vbNkz5GHOixmdmotv7oOdDqg/Ty8/MoJzdXbB3PHOixcTvqb32M2jc9B4yN64+KPnh2ZWZlibnZrJ2eA7YdIw4ef/RR2rl9By1YsIDWr1tHz78wjaY+PUVwatTGW9GHbdRK/WEO9Ni4DQE32vLwcx7n2T7WrVsntqUOc7PrJu63Q+UwYM9J9gPvmJPcu3cv6t2nD2HByuDBg8W2p6gcHLCIY9SoUQTH4vCbyAGT+q/5y3jxFSMPaFg5jBw+gnbt2iU6ycVnzlCN0mk0nBbuW7NmDR06fJij0MjhwykqOrpcPrjhlokTafOmzXT11VcTHngRkRFiK9AxY8aIDUrwi9cIM+J++dVXzjxwAGxR0VHiIQ2fqBy4/Piux4btOePj48thc8fBwIEDBTa4bdq2fTtnIxbFgE8E/bXxV10lHuZo9LXYcC84QMBIFx7kHBibngN32JgDpKHlxx0HnvQxwsYc6LFp7UCbP9JgbHoO3GFjDmRslLHpNdBi09uBr/Qx48CdPkuXLqOkY8coKKjkx44VffT1lDnwtj5mNhqI+phxoK0/KvrobYfrr54DaMzXvKGPmY1q64839OF66uv6UxX0MeMAndnrrr+eNm/aBJnFXOWXX3rRsI23oo++nmptVG87Zvpo89HG0bZ7WvvgdEQB7H8BwEDZnGS7k+wHOdBJfuihh2jsmNGWR5KXr1hJrVq1pDZt2jhHWrS/SAEb/iK//vY7unLcFWKkC875GzRsSLHNm5uO0ulHwtZt2ECdO3Sgho0aUWFRMY0ePZqSjx+niy+5mD7+78dUu3Yt4l/y/Av7SOkr6HZt2zrzMRtl4JFkbKDQuVNnim4ebXmkkrE1iogw5YCx8S95Iw74GkutHwXamphIrVq1okYNG5qOhPEoEHNgRR8eZUC+4AccwLtDt27dTDlwpw+PtPAIBJeHOWBsKvowB8BndSRZRZ9NmzdTZGQTatumzKuKfjTQV/qY2Sjrw7aDRVvMAXYR+2P5Chp/1ZWCbiv66OupXh+2g65duliuP0b66O2AbZRHUWGjQ4dcIjWSzBy4a0P0+sAOesbHC86s2ih+nMLVXlxcnLNue9LHiAO97XD+zAHbKNo3vuZJHyMO9Nj0HBhhc6dPWloaLVm2jOCmER4RrI4kG2HTc6DHpqKPUfum50DfvhlxoMfGGrA+i5YsoV49e4pBDb5mpg+340YcANs7770nthPHCPLs2bNpwMABzreFRtjM9OF21Er9YQ702LRtiLY8RiPJqAt2J5mfZoHyWdZJtqdb+EkTuD/jRgBZYooA/vQBr+dxHxYD1A0PdzaeuI8bUo6D+a3RUVGi44Vz4XXrij+eAoFz4mFf+qqY4+GT86kbFkb1wusJNzx33nWX6CBjI4r//OdDatiooTaKEzNwIWjz0ZZNGwkNFq5FRkRSgwb1nZ0P3GMVm7bc2mNtPpimgT8jDvia9n4cMzakGR4e7qKPtmzaeKybFX208cAB8qlbN1yJAy2/nrCp6MMccOcQ2H2hD3YChA9abRnM8vG2PloOtdrgGNfYdrQcwNMBHmw5ObniBx7H09cfbdpmNsq2w3ag5UAbn/PAp54DLTZtfG0cxgYb1adrho3rCHOgTdujPmFhov7U0bhR1MbXYmMOMKIGF3BaPHqs2ni4hntRT7UcmGFjDrh906atzVObB2Mz4kAbXxunQvqE1aV6Htp4zsvf+hi1b2YcAKOqPk0iI6lhgwYudmqmjzsOkP+zU6fS9m3bhMeLBx96iGZ+PpO6d+tmis2TjVak/mht1Kw8nD9G8es3qM9S258BxoA9kuwHQbzhAs4I5sJFiyimeQx1797N6LLUuSVLltJtt94q4mB3vRtuuF4qvn2zzcCFysDKFSvFj9Y+9gr2C1Viu1wXCAPY+W7Y0KHO0mzctJGwg6YdbAbkGCgbSba9W8gxFzB3YxrDyZOnqKUX/CLD28Dzzz8vytazV0+6dsI1AVNOG4jNQGUzENsilo6Wbsle2Vjs/G0GbAbMGcAmQI8+9pjzhqlTnzH1eOG8yT6wGXDDgN1JdkNOZV7af+AAwROAWYBrqvr164k5yHwP/EVmZ2fzV0ufWDxw8UUX05HDh8XcuBmffiqmYriLDFzusBnFVXEBB1dmmDcmE1Q4wLzTfMl8POljhBkcYAdDmaDCgYo+KhyoYFNxAaeCTUUfM9vBfPXs7BzKyswsJ50KByp2oMpBOcAeTphx4C4aOMA8TpmAdke2LqhwoKKPCgey2NCugQNZ92cq2FT0Uak/shzAXlRcwHniYPJTk8SaGqS/ZPFi+r8PPiAVbOBANnjCZpQeFqxioakdApMBu5McmLoQtplOd9NJPrD/AHXq2NEFvWwFzcjIpKlTpwqXZFgE+K9//VP4W3ZJ1OALcLnDZhCFMjIzqLhY7kF6xF+d5OPHhds9I9xm5zzpYxQPHGARh0xQ4UBFn2MKHKhgy87JoQKN60MrXKhgU9HHrP5g3ikWqe7bv78cXBUOVOxAlYNygD2cMOPAXTRwoHUz6e5evgbPMbJ1QYUDFX1UOJDFBveS4ABuK2WCCjYVfVTqjywHKHfa6XSvc4D56FhTc9HFFwtq3/jH6/TNN98qtfEy2uBeFX1k87Dv9y8DdifZv3x7JTf4Nz6ekiI8X6gmiNXFjz32GCUfTxZJTJ4yhYZo5nKppmvHsxm4EBno2LED7d8vP7J0IXJhl8lmINAZiIyMoB9//IEmTJggoP773x+IDmyg47bxBR4Ddic58DTxiOjEiRPUoH594ZHC480mN6xas0a8isLlQRddRPfde4/JnfbpC4WB33+X30HqQil7RcvRtGlTgi/yQ5LTZSqarx3fZsBmQJ2BadOmCW8ohQWF9N6776knZMestgzUmgYrsoNPGZg583OxgUhH3fQId5nWqlGDrhx3JT388MPlbtu+Y4dwqda8eXOXa8FBQcJFEvylugtwvn7//feLncS6x8fTjBmfUIMGDdxFcbkmdqarW5dCQkJczrv70jw6Wsyhxqtrq6FOSAg1bNDQ4xxpbXpWOdDGQTngiglTTqwG7MAGd2ayHMD1FV4HWg0qHJjpA1/d8fE9qFmzpuWyV+FABRv8MMP1F9yqWQ0q2FT08WQ78G2LjQa6dImjGqU796hwgLogaweqHNSvL+dayhMHRpqBA+QjU7ex2QL8A8vUBRUOPOmDthBv0O6++6/OoqlwIIsNO69iCk+Dhg2keFPBpqKPSv2R5QCEt2zZQrgGlbEdGQ7gxi04OIRWLF9O+/bto/79+lGr1q2dWrs7AAcq9WfSpKeE3/3mzaPdJe+81rRJU2rcuJFUXXBGtg98xIDt3cJHxHov2fUbEigmNrZcgsWFRXT48BHq0L5duWuNGjd28Tta7obSEy+9/DLt2rlTNAAzPp0hHlZm9xqdR8Mh23jAJ6TMAxH5RkdHU3Ad6x1xxLHKgbZc6LhhwweZAP+5KhzA16dMUOHATJ8e8fG0atVKw+xVOFDBBv+h8EcrE1SwqejjyXbad2hPWdnZYhEQ41fhAHVB1g5UOWCcVj89cWCUDjiQrdvwa+sPDjzpk7htG8XoBhtUOJDVB51CcFCrlvUfzOBeBZuKPir1R5YDlAc+hH3NwYMPPkBjx44VpvvgQw8TNjSyEsCBbIA+cXGdadnSpZajYmda2bpgOXH7xgozYH1Yr8JZ2QnIMPDRRx9Rv759y0XBNAmM+mJnPX3ISE93uxgGoyaPPvoYfT5zpoj61ttvUe1atQgdb5kADxqyXjSwivnUqVMy2VBKSoo0Nk8cGAFITU2lItnFZMeOSXOA1ezYWlUmqHBgps/QYcNoY8JGw+xVOFDBtmnjJuIdAQ2BGJxUwYbV7LI26sl2WrZoIaY5YdEsBxUOVOxAlQPGafXTEwdG6YADrHGQCdiqF5shyQQVDjzp8/vvv1HvPr1dYKhwIIsNO8SVeDVIccnb0xcVbCr6qNQfWQ5Q1oULF1Gq5HNBhYNnn3uWWrRsQafT0mjc5VfQvHnzPFHt8mPY482lNwBbz549aevWrVajiGdCbk6u5fvtG/3LgNzPWP9iu6Byw6r+06dPi3nEYWFhwmWS9iGOV1XYTQqulBITE2nvnj008ZaJlJGRIV5Pg4xjSUnidW989+4iLYwY8qgc0j506BDVq1efYmNjRFqIA9dmWOiH8NZbb9MP338vjv96991iCgi262zbuo3Y8SciIkJcy87KojOahx52oMJIKzqSuXl5BL/KCK1btaL6pdM09HGwxXPN0lfqwFZQUEhZWVmEsqOcCLm5uVRUVNZBxxafWm527d4tsGHnP7yiRwAf8BHNgTlgbMxB8+goJzYtB4jH2M6fO0cZmZm0d+9e4XAeaXniAPpAN0x5wQhUixYtPGJDnuDg3LnzwrMDym3GAefP2Iw40HNtRR/kjy3O12/YILAwB4yNOcArcGiA4At98vLzKDg7WKTNHPhSH62NmtkOc8C2o60/eg5GXTaSfpoz11kXVPRhO4COXH+gjzZ4Qx/YKOoURi1l64+WA0/6gAPHeQeF1AmxXH/g1SEnN4e0HHjSh20UI5ZsO3p9ZOvPtsRthN3ZENy1IWb6cD1lbFbrD9qdmjVrEZ4LaFs96cMaGNkoX2P7MeLAqj7MAbdv7uqPmY1a0Yfb0cKiIsrMyiJMP2EO9O2blTbekz74ofDyy6/Q/fffR5ifPOnJSdS6dWvSTlnkdpSxydQf1gD6oPxr160VzzY817Xl4ec8tOLz27ZvJ0y5CK9X8lxkHe3PwGDA7iT7SYeU5BSC38XYmBjRCYGfTK0fRmzPiYYf5+fMmSNQobLBfQ83Honbtou5nOgkIm6Xzp0pqLSTiu9wqYQOcVBQbedDBO7A4JoHu4bN/OwzkS7mIU95ahLt3LOHzp49S8eTk+lk6innAw73o/HmgLlzTerUEecOHjrk7HRjDm+X0vz1cXr16EEhpZ1kYDvvOE8pJ06UbLNb2kmGu5zUtDTOphw3jC0zK9PJAfgo0rhNYg6AF9iYg/PnzzmxMQecEWNDYwhscEmGjv/JU5450OoGf8Rw5cT6mGFDvsiHapR0PFFufsjrOeAHHGMz4kDPtRV9RP54vRkWRn8sX07jLr/cRR/mAD+6uJOsx6a3XSNsZhywPngonj6dLvJgDnypj9ZGzbCxPmw72vqj52DggAHUrGlT2r9/P+Xm5zvrj9ZGPenDdoD7uP6wPnobZWwq+nDckOBgjzbK+hhx4Ekf2AHeDtSsVdNjG8L1JywslHJyckTbxBx40oc5QPvHtqPXR6b+YPRuzZo1NP2t6YJ2PQfaNsRMH66njM1q/cHmNOHhdYXHBXDuqQ1hDazoY8SBVX2YAxCC9s1d/eF2lO2MObCiD9sB1k9gITp+7DAH+vpjpY23ok/dumGE+cKvvPyyGOi468676M3p0yk0LFToz+0oY+NyWak/Wn1Qptat29C+ffvFbrja8vBzHmlrzwsA9r/AZMDhEs47HA77z9scDB061DFv3lzL3D7x+OOO+Ph4x779+1zi/PDDD46VK1e6nNNiTUzc6khKOmp4vW/fvo6oZs3E35q1a5z3/Pb7b47Tqaec37XpmR0Dlx6b2b18ftGihY6U5GSpfFSwueOAseg/165b60hLS5XCNn/BfCUOgE+fv7vvKhy40+eeu+82tEUVDlSwrV69yrH/wH4pDlSwqehj1Xa2bdvmWLJksSiDCgeoC7J2oMqBO9syumaVA21ccJCflyul6RdffuEXDtzpM3fuXAfaZm1ZcKzCgaw+OdlZDnCQkny8XP56PNrvKthU9FGpP7IcoFyzZs/2CwdabO+8+67zWfiff39gyj840HJv5Zj1eejBBx3ffvutpfgldiD3bLSCxb6nIn3Zso6xPSc5AH+7HD16lCZcey3Vr1fPiQ4jxPiV37tXT+c5/QFef2GkUB8++WSGmKqBUYHn/v536q+Z6xzdrJmUhwakDVxabPr8vPVdBZsZB+4w4dc9XoPJBEy1CFQO3OnTOa4zbd5UfuGKCgcq+shwzPeqYFPRx6rtREdF0YmTp8S0n0DngDm0+mmVA2164EDGW4k2rsyxih2402fBwoXUsUOHchBUOFDBVi5jCydUsKnoo1J/ApkDLbYnHn/MuZDvww8/Em8QjagHB7KB9enarStt35ZoKTo8vYSGyi0ct5SwfZNXGKiB/nJZSprDspP2UQUZGDbsUpo06UkaN26cx5SwuK5r166UkJBAkU0inffv2LFTvJYaOXKE85yVg927dtGoUaPFa+Fnnn2WHnmkvEs5K+nY91wYDKxdu47efust+nHWjxdGgSqpFD/+OIsGDBhALVrIr4CvJMh2thoG4M6ve7fu9PwLz9MDDzyguWIfVgcGsK5k9OgxdOTwYerZqyfN+flnr3qY2Lo1kf7+97/TvHlzqwOdF2AZbRdwASvqjl07qU+fPoT5U5jvxgH+Wdu1a8tfDT+Li4pcVpmjw33PvfeKDvLAgQPpwQfuLxevsKCAsPhEJgCXFptMXJl7VbDpObCSHxaryHKAeWuByoE7feAGbtOmTQTb0AYVDlT00eZp9VgFm4o+MrbTvl07sVA20DmwyjHfJ8MBxwEHDs1iWj7v7U8VOzDTB67fEC6++JJyMFU4UMFWLmMLJ1SwqeijUn8CmQM9NiwG/HTGJ1QntA5t3bKVRo0eQ8kprp5GwIFsYH3gBm7Hju3ORe7u0oGnE1nvMO7Ss695lwF7uoV3+axwaqtWrhQjyX+sWOF0lZWVmSk8Q7Rq1cpt+nv27hWL4/gm/JI9eOAgRURG0of//cjQl+na9espMyODo1j6xCIQWTdecHt1IuWEpfT5JhVseg44LXefWxIThZcLd/for2n10V8z+67i+kuFA3f6wLk+XBTt3uPqfkuFAxVsWCiFH3wyQQWbij4ytgOfyVgoCpeMsvVHxQ5UOZDhGffKcMBpww4KJV0owv2ZrDtEFQ7MbHTFH8upUeNG1CWuMxfD+anCgSw2VRdwKthU9FGpP7IcgHC4Ajyh65w6hTA5UOHACFtcly706iuvilzgTeqvd93l0lkFB7KBsWH6Xv/+/en773/wmMTPc+dSamrZAnaPEewb/MqA3Un2K92eM9uzew/169/P5cbjySlilzSZXYmwBfHXX38t0rnrzjvFinyXRO0v1ZYBuIJLTLTux7PaEuWm4PCugPn/ubl5bu6yLwUqA/CGcNPNEw0HDgIVs43L+wzcPPFm6tGjh0gYI8qYp+6t0KZ1G/rvf//rreTsdCqJAbuTXEnEm2V76PBh6tCho8vl48eOETYysBq2b99O6BgjtGjZku6+526rUe37qgED8T3iafeu3dWgpL4tIuYjFxaW+CD3bU526t5mAKPYY0eP9naydnpVkIFnnpnqRP3SSy9TRkam83tFDrp17ybeMiUfT65IMnbcSmbA7iRXsgDa7LGYJOnoUWqvmXt8priYko4fFxtBaO81O4ZT83vvvU+8/oQ3i/fff196+2SztCtyHtsRw49qdQ4lWzIHVzoF/fsPoC0SO0J5E3BIcIjwverNNCsrLYwU5efLd5IDxQ4qizfkGxZWl4KCKqcuHD58hKBB337ldzT1Fyc1atYUHPjDK4i/yqSST1hoqF88o7jDNmToUFq8dAlhIxg8f5+aNMnd7Zav9evXX9y7PmGD5Tj2jYHHgO3dwg+aWPVusWrVavrk449p5ucl20YDGhySHzx4kMaOHWMJ6ZN/e9I5zWLSU0/Rk0/+zVI8+6bqwwAWiVx11dX06/xfq0+hfVTSb779Tmzq06NnyStbH2VjJ+tFBvBK/dd5v9D7H7zvxVTtpKo6AyuWL6cbbrhRFOO1f/yD7rzzjgoXCR3miqq4AAAgAElEQVTl0aMuo1deLZn7XOEE7QT8xECZdwu7k+wHyq12ktF5ycvPdxn5/eWXX6ljx47UsWN5f5566AvmL6C77rpLnL7zrjvp5ZdeCpg5d1gpHBwcHDB49Nz54zs4wMhRsKRPZn9g81ceWOAFDng7dX/l66t84Kpx2/YddPNNN4otoK3kY9sBERauoT2ojLpQJLwAnSMsYq2sgF3p8vPyxG5vtWpV341vsYNgnTohFCgcvP32O/TW9OnibdfixYsIi/sqEnKyswmOdeFNww5ViYGyTnL1fv8dYJrVql3bWZnWrV8vtr49lZpKbVq792qBYmBL5acmTxYlgtu31157zVKHdMuWLZSTlSXFxLFjxwh/MmHlqlXSK3hVsGHUPTU1VQYa7dq1i7IlOYA+Khxg9bNMUOFARR8VDlSwbd68mf48elSGAr/po2I7xcVnxNbkhw8ftlwm1AVZO1DRBzYqG1Q4gB3AxZZMwIp+f3BgZKPwPOCug6zCgaw+6CALrwan5NoqFWwq+qi0b7IcwF4WLV5CqX7gwCq2xx97lOAuFVut337HHZZcuGntXq9Pvfr1nc907X3aY3i7ST99WnvKPg4gBuxOcgCJoYWSkZEhXGU1a9qUgoI9z9179+136HRaiRuZRx95RJuU2+PMrCxpf78FhYWEP18HFWwYmcBIkUzAToZnzp6ViULQJ1A5UNFHhQMVfaRILr1ZBZuKPiq2U3ymWIyIHk1KUima5TiqHFjOoPRGFQ5gBxgZ9XVQ4UDFRlU4UMGmwpcKNhV9VOpPIHNgFRsGql565WUhTdLRJBo58jKC72OrQUUfDIThx7YdApMBe7qFH3TBdItRo0fToEEDqXXr1tSmdWvRydqaWLZtJbYO7RwX5zyP19Lp6RniV+iV464QKNeuXUuFmgrbs0cPatSoEW3avJluvOEGys3JpavHjyf8GkZaCIePHKEjR444S3npsGHiGA7m4T8THUq8+oZ7Ob6GkQc0rBw6d+pE0dHRlJKSIkZ/8CsbITIignr16iWON2/ZInw5c5xBAwZQndBQ8fX3P/4QCwmRT2zz5k5se3bvppSTJzlKOW4YGxZ3DBo0SNxnxgFjw0YaKEtE48ZObHoOGBtzUFxcLF6vWeEADw/oBn2wMDK8bl2P2ACcOcBUg5axsaYcsAaMzYgDFX2QvzYwB4yNOWjbtq2wT5z3hT7FRcViAWeLmBgnB77UR2ujZrbDHLDtuLNRI32KioopMzOTbr1lorA9T/rwlBNslcv1xxf6IB8sUKsTEuLRRvX1R8uBJ31go5g6UaNGDY9tCNcfbGYTFBxEWg486cM2GhMd7bQdvY0a6YN2R9uGeNKH7UDbhpjpw/WUsVmtP1g4W5BfIPQJC/PcvrEGjM2dPkYcWNWH7YDbN3f1x6wNsaIP2wE4ECP7Gg70+vBzjrExB97Wh59zwHbP3ffQ6tWrRZN562230ZtvviGOzWzUnT7a8vBzHonx+ePHj9PI4SMoKjpK5GH/CwQGyqZb2J1kP+iBTvIjjzxCl48dQ7WDgkSnFDu84eHCgeeq8vnfly+n5OQUGn/llRTZtIm4DQ2ydhdxNC5/LF9OE2+eKK63btOGvvjif8JdHM/1Q4NyVrNzX2hYyTw87JCFhhAd5c4dO4rONl8TuxNpRoZ4LjHmTONhwBuJYM/5kDole84XFxbRufNlO/fh4YwV3AiYg7li5Srq3LkTRUdFOechit2JNLv96blhbI0bN3Z2uI04qFmrlnACD2zYJKNhw4YU07y5E5ueA8bGHGzZmkitW7WiRo0akicOWB84mkcc/ODhHwNm2JgDxGnapAl179bNlAPOn7EZcaCiDzTQBuaAsTEHTZo2cc4X9oU++EEXGRlJsB0zG2VszAFjU9FHa6Oe9GHbiY2JcWLTc2Cmz9r1G6h/v35im2pP+rAddOva1WmjvtAH+QwbMkR0Xj3ZKNdtIw481R/YaM/4eDEnm/kx44Drz09z5hI6JV27xDk58KQP20FkZIS0Pto2xAybngNtG2Kmj95Grdaf9PR0Wrh4MV1y0UXCq4InfVgDK/qwBoxNRh/mgNs3d/WH66m+DbGiD9vBwv9n7zrgq6iy9xFIISEkARISQu8d6QIqiA3rWlbXjm11dddVcdVtrm75q7v2suralbJiQUVXei9BkBogQIAEQgqkQAoEQnn/33fDfZlMZt6bc5L3eIQ5v1/y5s3c8t3vnHvnvpl7z5k9hwadfbaKA6A5MOsH9zl/Y3x96Eff54AN+rn44ksoP78qANbUqZ8RvGDY2agv/Rjbo+/z4Eyf/+rrr91JsvHmFBLH7iQ5qGpwunHPCOqbb6tivl/zs6uNp2scw5/jpZdeqtzWILzm1KlTVbS+6OjoGul8fcGv85bxLSg8MsJXshrXEPcewtmMsGrlKhVWu0XLljXK8vVFgm1/cbG6gXI4wBrm5jEx3pu1L0z6Gtb9ov0cDhYvXkwJCYmEkKVORcKBRD8SDiTYNqalUXyLFpSSkuKUArXGPBj6kdiO5mBrxja1tnLshWP9tktiBxL9wEbbtm3rF48xgZQD/PjDq2qngnWYXbp0UX9O80g40PrhjG8SDrjY8Foe63HPGzWSEhITnVJAEmzggKsfyfjG5QCNRl/Aj0XOfUHCgQQbniTfdutt6mES3MPNnTeP8APAl0iwwWd3506dqVlMM19Fu9eCyoA7SQ4q3dxJMsJQT/3iSxpxznDq16+fLdZfP/hrmjZtmrr+93/8g+699x7btO4FlwGXgcAxUF5eTp9/8SWNv/021mQxcIjckl0GXAbqygCWQlx77XXqQdTYsWNp8pTJdS3SzX9aMFA9SXY37oWgwhCGGpKUZL9GCQ7x9QR5xKhRdMftt4VgS1xILgNnBgM6THXByc2zZ0ar3Va6DDRsBvDG67HHHlONnD9/PqWuWNGwG+y2rhYD7iS5FiWn/kR+Xp5aF1pRYe9B4vnnn1NAsQ753XfeUUsMzO5nnLQEmweC4QIOr9nxhJwjEmwSDpy6BzJil7hIwpIT4OOIhINQdgGXkZFB+/bu41AQ0i7gjPpBmOo9e3L8tk1iB1Ib9QvGlEDSf8AB1ldyZPny5ZTN9Agi4cCoH6f4JBxwsWENrcT1lwSbRD+S8Y3LAfSx+qfV7PuChAMJNu1C8Zprfka9+/RR5vP0X5726e1Cgm3a19/Qvn28MdGpLbvp6s6AO0muO4f1WgLCUGft3k0tW7akI5XVG/uMlXz11Vc0/eSa5ddee41aJbRSlyXuZyQukiQuxnLz8sjXpN/YPn0swSbhwKl7II0Ln9gBzXUBt//AfgI+jkg4kOhHwoEEG9YGlpaXcSggCTaJfiS2Y+QAYaoztm/32zaJHUg58AvGlEDKAdcF3M7MTNWHTNX7/CrhwKgfn4UbLko44GI7fvw4Vbn+qjTU7P9Qgg0ccPUj6T9cDtDaXdnZVFHBC+0u4UCCDRxAsHHw3Xf/Q9j3k7ZhA11y6TgVl8BKWxJshw4dpBPHA+9C0Qqve84/A+4k2T9HQU2RmbVLbbIIC7PeBJO2cSM9/fQzCtNvH/4tDRs2NKj43MpcBlwGrBlIbpOsAosUFlT5K7dO5Z51GXAZON0YwCbTv/31bwr21i1b6Ff33a88Kp1u7XDx8hlwJ8l8zgKaA5G70CHh/7jpSfdqusK0tDS6+sqrVNCQHj170oQJE/Ql9QmPDvjVy5G42Fivyy+n+YDLjM1f3jbJydS0aZW7OH9p9XUJNgkH8JwQxtiZD3xW+tG47T7j4+KJ43UD5Ug4kOhHwoEEW0JCAjVvFmNHkeV5CTaJfiS2Y+agW9eulJnlO/qexA6kHFgS6uOklAP4GOcIXItBRxyRcGDWj5P6JBxwscEVGDxOwO0YRyTYwAFXP5L+w+UA7e7Qrp3jcO6aJwkHEmxm+7z9jtvp6pPeplasWEH/efc9Dcn7KcEWFRWtfMd7C3EPQooB109yENThy7vFnePvpC5du9JTT/2Z8nLzCP4pb77pF7VQYYJ8+WWXq3CZmCDPmjWTPSGuVah7wmWAiLDODo7sH3jgAZePOjKA5VITJ09RfbjpyWA6dSzSzV4PDKSmrqC33vo3TZw4sR5Kc4s4kxlYtGgR3ffL+wiuNvE29w9/+IMjOjDOduvWjW5zN9k74uvUJnK9W5xa/g21/7R6Nd14ww3qDJ5Ade3SWR1j85X2d4ugIw899Fs1QYYD9zfeeN1yggwfjVgTxRH40EQgEI4Al8bmNB82K3Hj00uwSTjAOlnuxiOjfpxyAJ+g6elbnCZX6SQccPUzYuRIWr5sOZsDCTZs4IRbJY4ESz8S2zFzgBDyCEKRlbXLtokSO5ByYAvC5oKUAwSh4Ag2rWGTE0ckHGj9LFm8mHqdjELqr04JB1xsGKexYauAuWFLgg0ccPUjGd+4HEAP6Avc+4KEAwk2cGAlo0ePpqefflpdev2112nxokXeZL6wnT1ooGqvN/HJA/hJRrRcV0KTAd47stBsw2mBCqFrsaMZkXkgiOqTtiGNmjePofbt26kdszszs6hD+/YqHdYeYzKBCD/YnId1UIgkN/XzqdS1SxeVBmVoQdkIjbl3794au29RH67pP50e0ZhwDhGcCosK1bG+hgmjTo9PPcDiE9+BC3/GiSUm2sY8KF8Lzhfv309l5eU1sCGamTGPkRuc19jAgRYcG/NoDjQ2zYERm5kDjU1zkJGxnYqKilW5uh47DlAf6jfqR+exw4bryHPw0CHCJg20W4uZA31eY7PiwA6b5sBKP0bOcKw5QH1du3YhvD4EB1oHOG/Gpq9pDqyw2XGgsWETUVlZWQ0OAqkfox3YYUNbwYm2nbrqB14utm/frspEuWg7RHOg7cCIzZd+cE3bqNaBE/3ARpEX7dZix4HGZsWBP/3ADkpKSlRduh47G9W2U1hUTCUlpTXGEDtsKNPIgUQ/8PAwctQoBc8Om5kDJ/rR/VSiH4wFhxzqR+vAiX60DjQ2jn40B3p8M3Jg1o9xDOHqR9tBUfF+Kisrr2GjZv0gLURj0xwYsaF+45/Gpjlwoh+UD9HYfPWfa6+9hsaNG6fS/+7xJ1QgIdSvsRltVLenR/futGbtWpUH//T5DWlpBD/rroQmA9a7w0IT62mNauu2bdSiZQvq2LGjCmVcUlpKX3z1JXXo0JFWrFyp2oZ1sXgSpb/vycmhlat+ojdef0NdH3/XnWqipa/rmPa4iHMYSDEZRQftefKpCcrIysrycnfBmDHqGE+nkUeFct66Va1Z09c2p6cTJjNadEx77MbesnWreqKNawhrPXDgQJVsY/pmdaPUeUYMH+4N14x6TnhOqJ3/GEg0tp07d1Le3r06Sw1u1q1f78UW1bQpjRgxQqVbu24dHTZMMjUHGpvmADdtjc3MgcZWk4MtjjiA3oANgnIPHDjgFxvSap0VFRcT2m3HgdZBTWxbyciBRD+6fgWciDQH+J69Zw81i4mhpcuX0dChQ5V94nwg9FOJH4uH9xB5PF4OAqkfo43a2Y7Wj7YdY/8xc+BEP4cPH6F9BftowaLFah2+uf+gPtgB9Kht1Jd+cK2qn26hI0crHetHtysyIsKvjZr7j5EDJ/pZt2GDCn+t+bGzUd1/Yps3Vz/OjRz404/mIKU02Ws7TvSzPi2NVvy4gt56+y1Qonj3Nb5pOzCOIXb6qdlPnetnw8aNhLXp23fsJHj+8Te+aR1obL70o3VgxOZUP9oOwBPq9NV/jGOI0Uad6EfbQUR4OG3fsYNy83K9HJhtx8kYXx/60f1UY/PXf274xY2EH1/Zu3fTvffeS49MeNTyHmxsT1lpKeXm5FKblDa17FAZp/sv9Bjw1JATHo/H/atvDkaPHu357rvptbh99JFHPBMnfqrOL1myxLN69Wpvmh9m/OBJT9/sufjiiz1JrVt7brzhBu81O3zr16/zZGfv9pvOmH/+gvmeooJ9rDzbMrZ58Gcsx9/xrFkzPXm5uaw8EmwSDlJXpHoKCwtY2KAfCQfA548r43UJBxL93HvvvZ4vvvgi4NiWLVvqydiewaonWPqR2I6dfubNnev57LPPPMePH6vVVvQFrh1IOTDakpNjKQeHDpbXaqev+iZOmhgUDqCfTz791HPhhRc6xifhgKufstISDzjIy81xjAt8SrCBA65+JOMblwO056tp04LCgQQbOPBlw7i2aOECdX/GPfr+++/3pKYu93kP/uW993pmzJhRo9wqO+DdG/3hcq/XdR5bPTF2l1ucwt8t+AXdq3dvhQCvyNu0Sfai6dK5M61bt175ZcTJJ37/pPea3UHrxETCLl6OdGzfnqKiojhZqEV8vPpjZRIklmCTcNC2TRv1pJYDEfoBD4EWCQcS/bRv19Zra07bJMHmtGxjumDpR2I7dhwkJScTnkgVFRUZmyI+lnLArVDKQVhYGLcqdnoJB9DPjBkzCN40nIqEAwk2p3iM6STYwAFXP5LxLZQ5kGADB/7k/NGj6YKxY1Wyb7/5hhAkx9c9uGPHDrRxY1qNYvv27kPNmkXXOOd+CR0GXO8WQdCFlXcLrH/q3buPeg2I12I/zJhJ42+/jRqfdEWG12k///kNtGrVKjr//PPVWuQgQA1YFVhmAXdHun0BqyiECwYHcP0UznTTF4wmLVy0iD54732aOCmwu//x+hYccG/aweCgPutAdMmpX3xJI84ZTv369atRdCjbQQ2gAfxSXlamxoNA94VDBw8pl5qPPvooPfHkEwFsEa9oBPc4dPAgNY1qSo0bn7mrHrGBMTIy4rTmYM3qNfSzn/1MLUNEBFx4nmrevLmlQfzvfz8QJtPvvveu5XX3ZKgw4Hq3OOWawFq0du3bU2xsLC1atJjwa19PIOGd4JZbb1MTZET5+ee//nnK8dYVQNOoKG/76lrW6ZofHAR6UiDlpm+fPrTy5Np4aRlO8sE7S0OfIIOH2Lg4tcF2x87aPpND2Q6c6LA+0mANfDD6wsbNmxTc884/vz5g11sZ8FsMDs7kCTLIhF/h052DQYMH0SOPPqpsIyszk/7x93/Y2gl+MK9ctcr2unsh9Bhwl1ucIp2kpi6n/v36UU5Ornot26lz9evAV155lZYtXaqQ/f73f1Ab2pzAhCsZO7c1dvkXLFxIxYW8CGEIvesk/K6xTrj64canl2CTcLDixx/Zr8VnzJwp4oDrAk7CgUQ/WPqDpx9bt24zqs3nsQTb6p9WU9Yue/doVhUGSz8S2/HFwbkjR1JxcXGtnesSF3BSDqz49HVOygGejnME7s+4fUHCwWf//UzB6tOnalmbE4wSDrjYpC7gJNhgo1z9SMY3LgfQxcyZs9hu8CQcSLCBA6fyyMO/pVtvu00lhy/uGT/MsMwKT1aQZcuWe69PmjyZ8vPyvd/dg9BiwJ0knyJ9/LTqJxo2fJjyIICgA+3bVXUeBA155+23Fap+/fvTvffcfYoQ1m+1eM1+psenBwdHj1bWL7H1WBr8yK5du6YeS6xd1JHKI17vKLWvNqwz4ZERhHWNiKJplFC3AyPWQB3D/Vkw+kJ2djbdfe+9tq+/A9U+f+XCNRk4OG5w4+kvT0O8fqiiokFwgLfAL774At14441KTQgwstfGB/awoUNp8pQpDVGdDbJN7iT5FKl1d3Y29enbl/Lz86lf377epQgvvfSSF9H48Xd4z3tPugcuAwFiAJEf161dF6DSz8xiU1La0O7d2Wdm40Og1QgicdGFF4YAEhfCmcDAz2/4uWom4hV8+P4Hlk3G5r2vv/qqhq94y4TuyZBgwJ0knwI1YKNeWtoGatWihfL5269vH4Vi27ZtNG/uPHUMx/eDBg8+BejcKs9UBvr260u7d+8+U5sfkHYnJSWpJ0o6UEFAKnELtWQAezt27thBvXv2tLzunnQZqG8GsMfouuuvV8XiaTECkphl0OAh6lSmj6ic5jzu91PHgOvdIgjcm71bpKVtpCeffJL+8Y9/qOhjo0efr6IJXXvtdV5vFh9//BE1CQtjbXKCRwx4DtAbAJ00DVGU4HWiUePGTpKrNHBoDwn0BiwJNgkHiHyEtnA4wBo/rn4cE2xIKOFAoh8V/enwYRo+bLj6AedkU5UEm6Fpjg+DpR+J7Tjh4Jtvp9OA/v2oE8MNmZkcKQfYJMgRKQcRERF0VqPAPnPhcrB06TJ6/fXX6LP//pfVtyUccLFxdGJMK8EGG+XqRzK+hTIHEmzgQNJ/8BDssssvpx3bq8Kufzt9Og0bNtSrRgQTGTx4ML3w4gt02223ETy9YMkl577tLcw9CBADrneLABHrrNg9OXtowIABaj1y55O+GKd+/nkNbxbonNxJKCY23I4W2bQp6waCFgIXF5szZmqmkmCTcBARGcnmQKKfmq1z9k3CgUQ/4ABhz6+6+moVctwJOgk2J+Wa0wRLPxLbccJBl86dKNPCy4W5nb6+SznwVabVNSkHgZ4gAyuXg02bNtLQIUPZfVvCARebFfdOzkmwwUa5+pGMb6HMgQQbd4IM/UE/Mc2b09tvv01NTrpzffjhhwmuCLUg2h68rWxMq3rKrLycnEyr05zun+vWrSP8SQSbx2fPmUP4sREKEtif/qHQwhDEcNm4cfT7J59QIaaxZhFG8eyzzymkEyY8prxZYAcv1jVxBOEx9xcXc7LQlvR0OlhWxsoDXFxss2fPZu/glWCTcLBjx45aHgj8ESLRDzhAPo5IOJDoR3OAzSedHDjRRxsk2OBsH540OKKxcfJI9COxHScc4Aly1u7d6m0R2iCxAykHHM6QVsoBnnByBDv6uX2By8H9999PV111JXt8k3DAxYanh1VeDfI4tAVNP5L+w+UADYeXk/y8wHMgwca1T7RH2w5cvT3024eUbuEW7v+efbaGnj//fCo9/8/n1TmMifCr3lAkKyuLLht3mfrDMUeWp6bSmNGjafztd9ArL7/CyRqwtO4kOWDU+i44JzePWrdOpGNHj9I111xDRYWFBB+yd46/Q2XMyc2lUubkdf+BA2ri7bvmmlfz9u5l/2IDLi62mrU6+ybBJuGgoLCQzYFEP85aXTOVhAOJfiQcSLDVbJ2zbxJsEv1IbMcJB82aNaPoqChCO6Qi5YBbn5SDYHhpkHDgRD9mjiQcSLCZ63XyXYINHHD1I+k/ocyBBBs44IpRP488/DDFnYzK+uEHH9i+oduZmUkVFYe5VYVs+iNHqj04GY+dANZLBZG2oqLCSZaAp3HXJAecYiKsSb7qqqto1LmjqG1KCrVt25bmz5tP5QcP0tp1a+mdt6pcvv36N7+h3z70G9q8ZQvt379fTZrjYmNp4MCBCuXatWvpSGW1AWJDSvPYWHUNfiDhezOsSRNKSUlRUaZwAX6T9+TkeFt5zvDh6hhrtNauX08lJSUUHRVNTcKakL62efPmGpNguLFKSEgg7BTfsXOn13gRIrX3ybDa5jwDBwxQr0dRGbChPXAcn9KmjRcbft1j8NKiuSktKVEcaGzR0VF+OdDYNAetWrXyYjNzoLFpDsqwJiwyUq0x9seBxibRD/Jg/XfHDh1sOdD1a2xWHJi5dqIf6MAomgOcwzXNQceOHZV94nwg9IPNVOFh4dSuXVsvB4HUj9FGJf3HzIFUP5s3p9PhI4dV8CBtB8lJSV4bDYR+UE98fDxFhIez+4+vMUTbjtFGY5rFUKPGjfyOIbr/wGc6xgMjB/70o200OTnZazv1pR/j+GY1htjpR3OgsTntP2mbNinf7PFxcYQfUf7GeN1HNDZf+rGyUaf60eOoHt989R9tB+YxxIl+tB0UFRZR8+YxNTgwj2/6PqexaQ6MY3x96EePoxobp//Y6SczM4uuveYa9eb1qquvUnuRunTpooZitHPXrl00Z84cuuiii+jyyy9X5xvCv7feeks148EHH7RsDt6e9+jRvdY1LLGYPHkybdu6jX77yMPUJjm5VprgnKhek+xOkoPAOCbJ991/H116ySVqgT5uWp9MnESDBp5N1157LR2uOExtUlJowYL56jomEojKgwllu3bt1I0OMNFpEc5UC4I/6LXBRUVFao1zTExzats2RQ06SHfo0CHvpBbfW7ZsqbKfOH6c8Kt33fr11LljJ2oe29x7DYPE0WPHdDXULDpaTXhxQ8DEPufkpBuTPT1JN+fB4K83wgHbTz+tps6dOxEGUNwUIOXl5TWe4GLzQlRUFOHXJDjQ2OLi4/xyoLHt3LmTwEGb5CQvNjMHGpvmID09Xf2wAJ+aH3N7NAcam0Q/K1euohYtW1Cf3r1tOdD1a2xWHNhh0xxY6Qc6MIrmAOdwTXPQunVrpYNA6WfTpk1Kl1iCoO0gkPox2qik/5htVKqffQWFtHTpUrrkkotJ20GvHj28NhoI/cBG4ZMV0d0wWYbYcaBtR/cfX2OIth2jjfbq0ZMiIiMc9585c+ep8aBn9+5eDuywmW0UE1ptO/WlH6xZNXNgHEPs9KM54PYfuP5csnQZDRk8SD2A8Kcf3Uec6MfKRp3qR3Ogxzdf/UfbgUQ/ehwFB3169yJMeDUH5vFN3+c0Ns1BfevHaox32n986ee76d/Rfffdp/rf+++/R1dceaU6Rju//+EHeuzRCXTB2LE0Zcpkdb6h/yssLKKXX36JnjUtQQmtdldPks/coPFB1kjzmBjvDQTBBVq0aEEffvChmiADyl+eesrr8B6DXNeuXVUaPXAgjfHYDB95jh07pibZ+gaCNJh04s8smMAiDzYOJiUm1tjFqye+5jy4keCPzqoyIGM647E5H+pp2jRSPUUzYsOx8bvOh4m/HTY7DjQ2zQEGVi3+OMDTH+jDyJNdezQ2iX4aN26knlgb22zHQX3rB3zaCa5ZcWCHTXNgZTv+9IO3FtjYYuQgkPox6tEOG3gBB9p2jNjsOODqB3sPUP7BsnLSdmDEFgj9wEbN5dpxYO4/Rg786Qd2kJCY4P3BDj6NbTPancp0SicAACAASURBVLYdvFHB001jOjtsWj8cG+XqB3WYOTCOIWYedZt0PRxs4AATzBMnjhPuC8Z2G491HfjUOrCyUX3NmB7HGhtHP5oDPb4FSj/aDiIjIghvS43tNtZpbJPGpjkIpH6gb07/0TrQ2Iz9B0+QfzHvRpo69XP669/+rjbtATva2btXL7r55pupR48exqY26ON//P1v1KiRc29ap5oM90lyEDRgdgGHpRbYvPT0X/6ian/u+efozjvvDAIStwqXAZeBU8UANuhsy9hOt958E4WFh58qGG69LgMuA0FmAG9GL7roYrWx77rrrqN/v/XvICMIjeqee/55ev3V19QPg5dfeTk0QFmiqH6S7G7csyQocCcRVCBz1y567733VCU33XST5QQZa5zQsTgCzxZYr8WRvLw8qjzM25kOXFxs8DnJDaggwSbhAGvd8CqPIxL9gAOuFwAJBxL9SDiQYKsKyVzlZ9sp3xJsEv1IbIfDQaeOnaiyspK2bstg24GUA6cc63RSDrh9G94duH1BwgFHP3XhgIsNy+bAwfHj1cvadP2+PoOlH0n/4XKAduJ+FQwOJNjAAVfs9IMnx88/X+XBatq0afS73z3uvR/m5+Wz+gLW7aauWEFPPfUU9e3bT0Fcs3oNXX/99ZSclKz8sd85/k7KtsGPvor8cE03/s676NprrqUR54ygP/7hj4Q11FaCOp977nlVx6233kZ3jB9Pv3/y92oZiV7ep/MhKBrK6tG9+uk41iDDJzQmyJBFixfTLbfcqv60Zy+ch9u4p//yNI0dO5a+//57XWSNT4T7Rvnjx9+p8o8ada5yfjDFItQ32vq/H36gW26+RXEDrFju8bvHfqfwga+rrrqaduzYWaMO4xd3kmxkIwjH2DG7detW2pNdFar27nvvsawVkXrsYr9bZoD7mT171JpDu+tW57ds3Url5UwXcPv2sbEtWbqUCgqqN+lZYTGfk2CTcIDNiFhrzRGJfsAB2sQRCQewG67tSDiQYFuzZg3tYkb1k2CT6EdiOxwOktskq42bWO/JtQMpBxxbQ1opB5j8c+Sb6dODwgFHPxq/hAOufg4dPEjgoGBfga7W0acEGzjg6kfSf7gcoMGzZs8JCgcSbOCAK770g4nfqHPPVUVOnjSJ5i9YqI7nzp9HxcX7HVWFSeyll46j6665lt5/733lFaustFRNXpcvW67KwB6nWbNm0a8f/LVlmVOm/Fflx8bZTz7+iL7+5mu655576KOPPqKRI0aoCaw54+dTP6fU1FT675QpNHnyJHru2WcJQVKw3loLsP3qgQdo9PmjVVnGB2nYpDdp0iR67/2qh4Ojzz9frcHGOuw//vEPqohHJ0xQbuPeffddSt+crout9fnLe39JuXm59MknH6syFsyfRydOeOixCY/RxE8netMXFhTStdddT/fefQ8tWLDAe/7uu+9WmwM1vp9WrVI/OLwJTAfuJNlESKC/woft8mVLVTUIPd2vb99AV+mW7zLgMhAiDPTv25ftjitEoLswXAZcBurIwIMPPuAt4YUXXvA+Tfae9HPQsmULNUl9+eXqpQovv/Iq3TH+Dvr2u+n02edTCcs5IKtWrqRvv/m2Rol4yotIv4gI+Oc//dl77a677qQLLrhAfZ/w6IRaD1nefucduv7661SwFCSCd5UlixcrhwO6EGB76s9/ps+/+FyfYn0++sgj9Mqrr/rM8+prrykHBS+++JI3HQK4vP7G6xTZNFK17X/f/09di2keQ2+++Qbdcust3rSvv/4GXXHFFbQ5PV15b/rXv/6lgr6gLXaxH9xJspe+4Bx8//3/VLhKROP517/+GZxK3VpcBlwGQoKBQYMHqc21ePLhisuAy8CZxQCeJt9+++2q0WkbNtBbb7/DIgDLNjBBvfmWm735hg4ZQn/961+VJxs8ocV6Zz1Rfu31quUNOvHTTz+tDl979RWKiq7e0I9Ivc8+VxXwJDcnh1745790FhUJOHPnTjU59Z4kolYJreguw14qjQ1PoyXSvn17GjnSPm92dja99MKLdPlll1GrVjU3osMLy/333a+Wgd5777300+rVKhQ7ytSTf2BCcKH777+P4uPjVPtvv+N2GjlqpNpUnb5liyVsd5JsSUtgTm5Yv4G++uorVfj4O8d7fX1a1aZ3F1tdszsH910wVI5gVzY3/CY8QeCPI/Fx8RQeHsbJojwucLFJOIB/Zrif44hEP+AAr7g4Eiz9SDiQYMNufvik5ogEm0Q/EtuRcADfs1ibzREpB5w6kFbKQZMwXt9OTEhg9wUJByL9CMZRLrbGjRsTOICXD44ESz+S/sPlAO1u1bJFUDiQYAMHXHGinz8/9Wfvsot//fOflJ/Pi6xrxnT5FbX9Kz/+xOMqGZYtYN4B2b59By1csFD5ZoeHIbOgr9w+frw6/dW0r7yhtLGXAg/14I3rpZdeqrEfCU+w4b7PKJhwSwX9wk4+/vhjNZntP6C/ZZKrf/Yz7/mJn37qPTYewPWoWVLapKhT2CNgJe4k2YqVAJxDFLQHHnxQrSFq2aoVPfHEEz5r6Qb3TcyJqJMOaq60k2CSDFxcbEOHDaUWPtyQmXHhuwSbhAMEd4ELH45I9AMOtCN5p3VJOJDoR8KBBFvffv3UkxCn7Uc6CTaJfiS2I+KgTx/KZIZrlXLA4RlppRzApRdHLrnkEnZfkHAg0Y+EAy42/PgHB9wxUYINHHD1I+k/XA5gL+eff35QOJBgAwdccaIfPMiaMnkSDR06VE36Fi9cSAkJNSea3HrN6THhbduurTr946pV6nPFilT16evB060nn1BjXTPWcUPwxPiRCY8qrC++8CKNHDmK3njjDRUvAW2JiIhQ6QL9D5sTIXFxcZZV9e7dS03mcXHLFt7eH8sCT550J8m+2KnHa19++RXt3LFDlXj9ddexn/jWIxS3KJcBRwy89uqrtHpN1cDkKIObyBED2MCH4APYvOVK/TJQXlpKs2bNrt9C3dJcBuqZAayj/cOf/qhKXbVqFa386ad6roGoW7eaEe0QwMafDBgwwJuk8mj1ZtzHJlQFPMHFosJCevb/nqUhg4fQtJNvxr2ZAniA4Gf+pMvJHzbwxlFf4k6S64tJP+WkLlumUuC1xV133+UndVWoYK4LGhWitYC3WxqhYMtKSvziMSYALi62VStXUbEp6puxTKtjCTYJByoMKpMDhEGVcAB8HJFwINGPFQclJaU0b85cW7gSbBvT0rwRG20LNl2wwmZKUuurRD8S25FwgL6AKHh7cnJr4bY7IeXArjy781IOuC4UZ8+erTbO2OGwOu+Eg5defY0+nzrVm12iHwkHTrB5QRER3EGCA+6YKMEGDrj6kfQfLgfgY/HixUHhQILNHOraqD+7Y45+hg0Zop4mo6yPPvjQrsg6n09q3VqVgbkHZN8+Z8s7mkVXRcbVAD766ENCTAdEB9by8MOP0OJFi/TXgH42aVK1FGP79u1+64mJifGbxmkC+eIRpzW46Wow0KFjB/ryyy9rnLP6AkPgrv3F7kysreWsS87KyiKskfT1CsaMr7i4WJ3irEvG4NE6sTU1i6nZ8cxlG79LsEk42LMnRy0faRrlfF2yRD/gAJGY8ErOqUg4kOjHioM9OXto65at1Kix9W9pCTZsvoiObkYtWlSFSXbCgxU2f/kk+pHYjoQD2EF5+UFau3o1te/Q3l9T1HUpB0uXLHFUvk4k5QBrPjnrkjdsSKPWrRNZfcEJB++89RYNHjyYXnzxRdUkiX4kHDjBpjnGZ+WRSuUCD267OGOiBBs44OpH0n+4HICH9PQt1K5t24BzIMEGDgLdf5KSk5RZcF2QGm3J7hg/xODxYczo81WSswcOVJ+bNm5SDyqwAdAs2nc55hAdO3ZQl+FK7bjnhJonIOgZIgS++eab9OYbb6q9Fc/89a80f/58c1H1/r1zp84E7Js3bbYt++jJp9+9eva0TcO94E6SuYwx0+Oxf2FhtX/gHdt30EsG9yXM4tzkLgNBZ8C116BT7lZYBwZWr15N+HPFZeB0YQDrxutTMO/A0/Nx4y4jvUlvxDnnEPZDYbnEk0/+XvlINm+yW7CwynfzNddc411rnJmVScuWLadHHnlYQcQa5Mcee4wQCO2Ky6/w6dO4Ptv0s2uvoe+++44WLVqkNg+aHwYeOniIdp4MCmJ0+1ZXDO4kua4M+skPh+RHKysJPpE7tHf21AhF5uXnq6eOMc2cP3k9UFKidgpHMTw17CsooNjYWIpg7LIuKy9XreZgQ3uw4J7j2UCCTcJBUXGx4prDgUQ/yBMZGUnxNhsPrExJwoFEP3Yc4AnB2WefbenNRIKtoLBQccCxHTtsVnzpcxL9SGxHwoG2AwR4gHcDJ/Yg5SA5qepJlebF36eUA7xVauJjZ7q5XmxcxHjgpO06rz8OMDGGH1g86dIi0Y+EA3/YNB79efTYMbVcKykpiTUmSrCBA65+JP2HywG4QPANeEfg3BckHEiwgYNg9B/0hSuvvkqbBvsTUeowRhvl22+nE9YUP/lktYMATG6ffOIJ5TRg3ty59PkXX9ToK5hkvvLyK+pN9MOPPmIsjj7+6CMVMc/oeg1Port260ZdunapkdbXF6zFhuzavcubDIFPhg0dRvF+3i6Ou+QStTwFa7gRsRgTdaMsWLhAbdyD72MzH8Z07GNPDTnh8Xjcv/rmYPTo0Z7vvpvO4vaHGT94tmVsY+VZv36dJzt7NyvP/AXzPUUF+1h5gIuLbdasmZ683FxWPRJsEg5SV6R6CgsLWNgk+gEHwMexLwkHEv3YcfDLe+/1zJ492xKzBNuyZUs9GdszLMuz48UOm116nJfoR2I7Eg60Haxdu9azeNEiR1xIOfDFkdU1KQeHDpY7aoeuc+Kkiey+4I+DXz/4oOf+X91fA4dEPxIO/GHT7dafZaUlHnCQl5tTA6++bvcpwQYOuPqR9B8uB2jjV9OmBYUDCTZwYKcHu/MS/cycNYt9/0H9Sa1bqz+M0UY8Rw5XeIYMGeJ5+umna5zXaa666iqVD2lKSw5403z6ySfqPD51WnyuXPmjOj9+/B01zqdv3uzp2KGD57PPPqtxvmDfPpUe+HBsLGtD2gbvNfTVl195xXPDDTd40xivv/HGG97zuowtW7ao/Kh3z57sGtfRLqs2v/DCv7x1Ir8uS3+CP2CtWV/1xLjxM8888wx7Zu1mYDHw8cef0MiRI6l795q7TX0Vgl/WcOXFca8SHhamnohyfG9GRkRQXGwcmV+7+MIW1qQJNYuOZmHDE1Q8OeK4IpJgk3AAjvFkU29s8NV2fU2iH3DQsmVLlk9mCQcS/dhxkLYxjXJzc+i8887TTfd+SrBFhEdUvblguA2yw+YFYnEg0Y/EdiQcaDuIjIikDRs3Ooq6KeXA/ErSgqoap6QcoB5sRnQqUdHRaj0yxz+5Pw7e/Pe/6eqrr6Z+/aqjmEr0I+HAHzYzL2c1akTYXJTQqhVrTJRgAwdc/Uj6D5cDcIJ9ILjPce4LEg5E2CIjWft70B4Jtq5durBdkKIuvQxuxMiRyocxlkUsXLCAXnzpJcLSij/+4Q8UZhGb4NzzzqPysnLaunUr4Ykzgod89933tH7DesL64quvvqpGX87NzaVVP/1E+MRT36zMLJr+7XR64cUXCZH67r3nbpUeT6JnzZ5FH370oXfdcGFRISUnJxPemEBatWhBK1etot27d9PWLVsoMzOT4CsaHn+Wp6bSi/96gXbtqnrKjPsO4gr0NUQlxpNs+K9eteon+vzzL1RgtnXr19Ebb7xJQ4YMIXjhMLZ56tSp9Omnn9L+k2G/c3JyqHVyErVr107V98XnX6jYFVieUrO+sxRe/DsL82XvNzIcVp90j+rIwJgxF9DvfvcYXXnllXUsyc3uMhBcBhYuWkTvvvMfmvLfKcGt+AypbdLkKXTRhWO9N5EzpNn13szS0lKC+yrcePUr3XqvxC3QZaCeGThy+AjtzMykXr34G82Sk5IVmrz8PNqbv5f25Oao7/Dv7OTH8fFjx2jrtgyqOFxBbdukUOsk6w3l2Mx38FCFilKXk5NL+XvzCZ4vevRw/tDPTNvmzel0/MRx6t6tG+thm7GcrVu3UfnBcgoPC6cunTvXiCBoTCc7rp4kO//pL6vJzSVkIGP7dsI6Ko5g5zNuFhzBeijsguUIcHGxwfVXiQM/h0YcEmwSDuAyDX5rOSLRD1x/wbMBRyQcSPRjx8GA/v3VJii969mIXYItIyOD9u3dZyzG77EdNl8ZJfqR2I6EA6Md4Ia286TTfl/tkXLgq0yra1IOjh49alWc7bnly5cTPJ1wxBcHmzZtpmHDhtWaIEv0I+HAFzarNkpdwEmwgQOufiT9h8sBeFn902r2fUHCgQQbOOAKFxsmyKkrVtC+fbwx0YwLE9zBgwapPycTZOTH22ME4EA+uwky0uFHJ8I4Q1JS2qj0dZkgoxzU269vX/EEGWUAA7DjzZExxLYCWo//3ElyPZJZn0XB/Yx25eW0XG4HRblwD8SdJAMXF1tuXh5VVPBC8UqwSTjYk5NDFRUVTmlW6ST62X9gPx1kBpCQcCDRjx0H8fHxyi/mrNlzavEjwVZQUECl5dbhP2tVcPKEHTa79Dgv0Y/EdiQcGO0AT0B2Zmb5aoq6JuXAb8GmBFIOjjEnyZgc7N+/31S776++OEhNXU59evepVYBEPxIOfGGrBYqIjh8/TthQh82bHJFgAwdc/Uj6D5cDtHtXdjZ77JVwIMEGDrjCxYaHJo0anUUnjp/gVuWmDxID7iQ5SES71bgMnK4M4Gnn/3743+kKP6RxI+TrsWPHvNE4QxpsCIPbkr6FBg0eFMIIXWguA7UZ2LtvHzVmeIWpXYJ7JtAMuJPkQDPslu8ycJozgI0Ss2bMJGzMcKX+GYCbqfUb0uq/4DOoRDyZ7tzZuSuqM4gat6khykBebp7asHfWWdXrX51CRYAPLfv3+w/XrNO6n3wGXO8WfM7YOSTeLVAJfFtyfB4jDyK6YScvR+CrlLO7GGVjVzoHW5vkZGrePKbGrlknGCXYJBxgHReXA65+0JZWrRIoPCLcSdO9aSQccPWDyuw4wHbe/06ZQpdceim1aVO1WUSD42JLSEggLOHgPj2xw6ZxWH1y9YMyJLbD5cBsBydOnKDN6emEPuIrnKqEA3gO4IqEA3iu4ei0c6dOyrsFx6sO2mHFAfZhPPvss/S3vz5jOb5w9SO1AytsdtyDq6TWSWqM53IQDP0At6T/cDhAHe3bt6PYWJ5nlGDoR+stkP0nLS1NeTcZOAB+6OMdeZiCH/AfZsygt95+i8LCwpWPafgchrcU9ClX6ouB6h8urneL+uLURzmudwsf5LiXQp4BTEJ6dO9Bf3n6L/TAAw+EPN7TDSCCDU3+72fUvVtX5SrydMN/qvEuXbqM3vr3v10PLKdaEW79LAbg2QYBMrDkypVQY6B6kuwutwg13ZzEg924XE8V+4uL2RvD8vLyqPLwERYLwMXFtnjxYvYOXgk2CQfYTHbkMG9ToUQ/4CA9fQuLawkHEv344gBPh/781FMUGdm0BnYJNuxmzzrpB7NGYT6++MJml02iH4ntSDgw20FYeDidM2yYzw18Ug7s+LE7L+UA7qQ4Mu3rb9h9wY6D5cuWUV+Db2QjDol+JBzYYTNiMR5jAy84KGB6NZBgAwdc/Uj6D5cD8DFz5qygcCDBBg644lQ/a1avUW9eMEHesGGD8lvMrctNHxwG3LDUweGZjhypVF4kmoSFqdf6J44fJziw1oLXb3C1os8jnHXHDh2Uc/LIk2GmD1dUkNGtNZZVNDq56B8eKuDqB68926akeF0hwfWPcWdz06goVaXnxAk6fPgwpW/ZQj27d1evwPU1TBjxClgLgpPglSAGWuzGhkNuCMI4R0RGqmNMtOH3UAsCJuAVEATY4NkCHiTgSkz7McUxdnlrMXOjseG1nz8ONDbNQUqbNl5sZg40Ns1BRsZ2xTXc3PjjoC76ccKBrl9js+JAoh+zBxPNgdaP5iAhMcG77MSon7vvupOgH4jmwAqbnY1q/cAnJ9IY7SCQ+jHaqB02zYG2HWP/MXKAdPWhH20H0KPuPx06tKfVa9cqR/qJCQkqdLex//jTD7CZ+w/GELwuxppHbv8xcuBPP7AD8IwlPpofOxvVtoOxB+OBkQN/+tEcIKCAcQzBJOOO8XeocUbXX5f+o+3AOIbY9R9dj8Zm13/M+kF54ODQoar+4E8/Wgcamy/9WHHgVD+6n+r7j6/+YzeGmPVjHOM1Nm0HFRYcmG1H3+c0Ns1BfetH3+c0Nk7/8aUfY3twnz9+4gStXb+eevbormx2Q1oaJSYkUrOYZjATV0KMAXe5RRAUguUWYy4YQ8OHD1fRYuAtoKioSEWe0dWjw/fv37/WeQxEF4wZo5ItWLhQDaw6z7ChQ1UEN3yfMXOmPk26LJyAr0ejK5vLxo1T6TBIL1y82JsHB/raih9/rOGeCf4M27ZtS/hljYFDC9aWnjN8uPpqzjPm/PO9N0w7bLi55eTm6uJsuXHCgS9sZg40NgkHZr05wYYGOuVA68CMzViPmWsn+jHWDzyaAzM2bNKDfUICqR9fNqqxmTkAJs2PHQdm/RhtVNJ/zBzo+s3YfOnns8mTVFQnRarp38ihg2n2oqXKPuASrXHjJmrtvuYAyY26c/VDNcY36Oemm26ivzz9tIrkKNFPXfqP2Q4CpR/zGOar/9hx4KT/+BpHzf3HzkaN2Oz6j7mf+uo/+j7nC5uxj6CdGhtHP9oOfGEzc6Cx+dKPcawCN9h3MGfuPEpIaKV+DKO+i8ZeSEnJVVHpTEOE+/WUMFC93MJ9khwkBXTs2FE5z8arawjCOqNTaok++YRXn8dkNDExUW3m0Wl69uhR48kr0mpBWRhEEMYRTxm0tE5MJIQYNQt+NSPPlq1bqV1KCkU3q/4VC9+txqfcmGhA8Ik8cFsDad+unfrEP2waqDTUawyNjTybNm1SE21sTtLSrm1btTlEfzdzo7E1j43VSciOA41Nc6DDYCKjmQONTXOAYA6Jia2pWbNqPu04qIt+0tI2UmxcLKHdWswc6PMamxUHdtg0B1b6gQ6MojnAOVzTHIArLWZs9aGf7dt3qM1XRg4CqR+jjdrZjuZA246x/5g50Nxw9HP+O/+h//vHP+jSSy6iXdlVb2GuuOJy+vMf/0T9Bla5LYMO8vLzKXNnptJHfegHYwjKNW6os+NA244VB/70AxtF/zditrNR3X8QQAE/vJFOix02rZ9qG03QWVRfim0eSyNHjKixaY+jH7QdYubAOIbY9R9dTzU2Z/0HP0R/Wr2G+vXpQy1aVm+utONA68CJfjQ5GhtHP5oDff/x1X+M+q45htTUD94EmkXbwZo1a6lLl8417gNm29H3OY1Nc1Df+tF2oLFx+o8v/Rjbg/s83ryAu+HDhqk3tohq6koIM4Cw1NVywuPxuH/1zcHo0aM93303ncXt+vXrPPn5eaw8u3dleYqLCll50jdv8pSXlrDyABcX26xZMz15ubmseiTYJBxs357hKSsrZWGT6AccIB/HviQcSPQj4UCCbdmypZ6M7RksDiTYJPqR2A6HgwtGDfdEN43wxMZEeVb+mFqLg8ojhz0ffPih59Chg7WuSTng2BrSSjk4criiFmZfdU+cNJHdFyQccPSj8Uo44GIrKy3xgIO83BwWbxJs4ICrH0n/4XIAvr+aNi0oHEiwccdqp/1n4qRJnvTNm716x32hqLDA+13boft5Kuei1bNid7lFEH7AuN4tgkDyaVAFXv3pteenAVwXYj0zkNAinrAGc9xFY2nKF9O862qN1cydO49SUlKoV6+extPucQNjAHs+Dh08SE2jmqolNg2seW5zbBjAfp7U1BX0859fb5PCPR0aDFQvt3C9W4SGRlwUZwAD2LSiNxydAc11m2hgYNb309UEGafGXXGlrR3g1XNGRoYhp3vYEBlo1KgRNYuJcSfIDVG5PtqE5WadDUuMkLS8rIztfcRHFe6lembAnSTXM6H1VRw2ImAzAEewSQLrtTiCjQjFhdXRe5zkBS4utpUrV6lNiU7K12kk2CQcYGMFNk9wRKKf2bNnq81wnHokHEj0I+FAgm1j2kavdxSnPEiwSfQjsR2nHGzaus3b3OLiYls7SEluQ/l799a6aUo58Fbq8EDKAd6ScGTW7Dm0fccOThaScOBUP0YgEg642DAxmjR5MuXn5Rmr9nsswQYOuPqR9B8uB2jsosVLaD9z7JVwIMEGDrjiD1t+fn6tgEzfTJ9OBYYIetw63fSBZcCdJAeWX7f0kwwcOLCfjlYedfk4wxkoLSv1PlE9k6hIXVy1OScpsRWdPXiobdPDIyOoRXw85ebl26ZpCBcKCvap5QYNoS1uG+QM4OHEkcpKeQGnUc7y8nI6eOiQirJ3GsE+46G6k+Qz3gRcAlwGXAYCzcCS5ctVFX96/Hd+q8LrWHhLcMVlwGWg4TCQmZlJHdu3dxR+uuG0+vRviTtJPv11eFq0AH4wGzV2ze20UFYAQUaER1CTJmeW50msRy4/eIgSW7Wku379sF92u3TupKISInhCQ5WoqGgKCwtvqM1z2+WQgaim2LjY2GHq0zvZjp2Z1Klzp9O7EWcgete7RRCU7nq3CALJbhUuAyHKwFN//D298uprdMdtt9Jb777vCOWXX36lvFyMGHGOo/RuIpcBl4HQZQBLLT7/4ksaf/tttZ4kY306olUiqq0rocKA690iVDTh4nAZcBlo4Awsmj9PtXDIUPu1yGYKEJkLwQwa8tNkc5vd7y4DDZUBbNhDwBGribDycuJOkENW9e777xBVDXYjIx48RyqPHGHfVA9XVBBi1XMEuLjYduzYQeVl5ZxqSIJNwsGRw4fZHEj0szEtjbKzswPOgUQ/HA6WLFlC2Xv2iPSD9sO7A0c4JZwF9gAAIABJREFU2HS5Ev1IbMeJjW7bUbW+eOCAAQqeEztITmmj0uoNfFIONB9OP6UceE6ccFqFSgcvAHv37mXlkXDgRD9mEBIOuNgOHz5My5cvp5IDB8zV+/wuwQYOuPqR9B8uB2hoevoW5QLNZ6NNFyUcSLCBA67YYcvJyaX27asj1BrLzc/LJ+RzJTQZcCfJoakXWrh4sVqXyIGH8KMIbcuR1B9/pAP793OyKFxZu3ax8qhJcjlvkizBJuFg7fr1tJ95s5LoJzcvj/YzuZZwAN1w9cPhAJPkiZ9+ShJsapLM5ICDTRulRD8S2/HHgXE98sBhVUsnnNgBwgHHNm9O20+6gZRyoPlw+inlAJM+jmxIS2NPkiUc+NOPFWYJB1xsx44epZ2ZmVRRUWEFwfacBBs44OpH0n+4HKCRCNGMpQgckXAgwQYOuGKFDW+DduzcSZ06Wa9Hnjt/HhUX8+7BXFxuejkD7ppkOXeOc2JN8iWXXkpYX9ixY0fq1LGjmiytW7/eW0Zy69bUs1cv73kMatjghDjyI0aMUOlSU1PpsOEX59kDBpCONw9fmHiCCCf1bdu0UWUhU2ZWFmVlZXnruWDMGHWMpwsYPI8cOUJhYWEqn762du1aOlBS4s3Ts0cPSk5Opry8PMIgcOzkhqJWLVvSwIEDVbo1a9dSiSHPiOHDKbJpU3UN2NAe1GPEtiU9nfIMT5PM3Ghs2NzhjwONTXPQskULLzYzBxqb5qCyslJxDe78cYBJLvQm0c8hFXGvCXVs386rHzMHun6NzYoDiX6gA6NoDnAO1zQH8KwA+4SYsWn9LF26jJ577jl66LcPKZ1y9FN5pFJt4GyXkuLlIJD6MdqopP+YOeDq59OPPqQvvvhCrUd+6q9/V/1H20HrxASvjUIHmzeso979z1bcQz/ogz/MmKnGjKNHq2zUiX6MNooNs5EREez+Y+yn/vQDGw0PD6ezzjrLcf85dPAQhYWHKXdYegzxpx9toynJyV7bqat+QLZ5fLMaQ+z6j+6nGptT/axdu47KD5ZTVFQURUdF+dWP1oHG5ks/VjbqVD96HNXjm6/+YzeGONGPttGKQxUUERFBUVHVY7x5fNP3OY1Nc2Ac4+tDP9oONDZw4LT/+NLPsmXLaMeOndSufTvS93nYnW4novBdNPZCSkpOUn3f/RcKDFSvSXYnyUHQBybJDz30EF1+2ThqEhamJhZY4oCbixYdrlifx6/Yjh06qAmLnmxiQPZ4PDqLGlwandwZjFdD+FUeFxdHbVNSvBG9MKDgqYUWRH2D4PUbBgFMlHt2764m2/qaejVleH2KARZrqfCLGDcD/ZSyc6dOFBEZqcqrPHyEjp+oXraBweWsRlUvKoBt8ZKl1LNnD0pOSvJiU6+mDEs9zNxobC1atPBOuO040Ng0B1jTqbGZOdDYNAdr161XXMfHx5E/DuqiH3CQkJBAffv0tuVA16+xWXEg0Y/51aHmAMrDNc1BQmKCsk+ct9MPfgwN6D+A3vvgferTqxdx9LN6zRpq1aoVwXZ09MFA6sdoo3a2oznQtmPsP2YOuPo5Z8hA2pG1mz764D267oabVP/RdtCndy+vjX49dQp9/78f6M133lX9Sevnm2+nU4/u3Wj//gPKRp3ox2ijY84/X01e/Y0h5v5j5MCffmCjZ/fvrzYfaX7sbFRj+/rb6WpyauTAn360jebn59GLL71ML77wArVq1ZKOG8YQXX9d+o+2A+MYYtd/dD0am1P9YMnR7LnzaNSIEdS6daLf8U3rQGPzpR8rDpzqR9uBvv/46j/aRnX/0RxAJ7pv2/UfbQczZ8+hQWefXYMDs+1gEo37nMamOahv/ej7nMYGDpz2H1/6mTNnrhrzevborjx5aG50O7/6+mt3kqxGvVD6Vz1JdrdTBkkvERHh3gkYqkSn14OZEYLxPCaN+uaGNMZjYx4coyw8eUZH150Q5/H0Fn9mwQQWefD0B0+ajFj05NKcBxPlpk2aqIk+rhnTIQiCnVTVQwT3X0ZsxmNjXs2BxmZst/HYmMeL7SQHRmz+OIBruohIZxxobKibq5+zziJq0qSxIw7M+jG229g2Sw5O6tuYzqhfYx4c45rmwGgrdvqJjY2lhMRE9bp88Nln17BLI05jPVo/eFoP3oxlB1I/Rg7ssGkOrPqPEaexPU70k5+9S02Qke/cUeeqH5roP9oONLaMzRvpvgd/Tf98/vka/RD52iQn0YH9B1j6MdqoWe92HGj9WHHgTz/op9idb6xLt83IGY41thMnjqu+YExnhw35jDa6PHUFLZg/v9ZYZ6zLiX6M6XFs5sCIzdg2Yz5dD6f/gANMMMEB7gvGdhuPjfVoHQRaP5oD1I1+auTADhvSGvVj7DPGY2N7tB3goY+ZA2Odxjwam+bAmK6+9aPL058ahx0HvvSDCJpnnz2gRv9AeW++9ZYKQY+3IYjGircKWq6/7nq6+OKL9Ff38xQy4D5JDgL5rgs4UqGIsTTEOBAEgfqQqgKv1TCZwJPX013uHH8n3Xn3XTRm9GhWU/bt3UeRTSOpefPmrHynY+Kbr7mSvps9j1rGx9GunOrww0Y7KCs5QLffegstXLyEsKGvbYeqpS66vdnZe+jHH3+kn//8en2qQXwiJDUiC0r6woRHJ9DmLek0c8aM05YLPHnctXs3YWmCeSJ22jZKABxvJVsnJDRYDnZn7aJFS5bQrbfeopY0GimCx4vNmzfT+DvGe5cwPjrhUbruuuuoTXIbioqunjQb87nHwWDAfZIcDJbdOgwMpKSkGL6dmYcNiYP+A/rTgnnz2ZPkxNaJZ4Ty33r1JTVBRmMRdnfyJx9RM8NND8FFsL5/yuTJtLegkB64+45aE2TkTUlpo/YhwAtCbFxcg+Gua5cu4rasXbeOJkyYIM4fChnx5LEuHIRCG+oDA5YUNlQ5WllJi5YupS5dOteaIKPNSUlJ6g/9uqiwkH73xOP02Glu1w1Rl653ixDV6ooff6Q9e/aw0MGDREFBASsPNg+UGTbcOckMXFxseErGdXckwSbhAL/mS5kcSPTjxPWXmX8JBxL9cDkYMWKkesLJtZ2MjAzC02SOcLGhbIl+JLZj1s/yRfPpnltvokWLFtEVl16s/kafO4qmf/O1mhBjUvzGG2/S5EkTaVv6ZhoyaCD9/Jqr6YU3/2NJCZandO7UUa3pl9ioZaE+Tko5wPpKjsD9GdcdIuxg546dlJuTQ5decrGj6sz6cZJJwgHXRrEfROICToINHHD1I+k/XA6gi9U/rWbfFyQcSLCBA64YsWVm7VLeSzp1tPZqgbIzM7PUBLl169b00K9/za3OTR8EBtw1yUEgWVIFdti2bNmSlfXgwYNqMx8nE3bQ49UfRyqYN0SUDbdXrVolUCzjYZgEm4SD0rIyOsoMASzRDzg44fFQu3bW/jKtdCDhQKIfLgcD+ventI1pVFJaSjGxsVbQLc/hRxzWcXKeKHOxoWKJfiS2Y9bPyNFjCX++BOsP8RSpf//+vpJ5r+Emu2XrNpGNegtxeCDl4IRho6+TquD+rFmzZqy+ADvApq1hw4bVWNPuqz6zfnyl1dckHHBtVLuAw8Y4zhsCCTZwwNWPpP9wOQDfu7Kz1duSQHMgwQYOuGLUT2ZmpvLektwm2baYZUuXqmujx4x2bNO2hbkXAsKA+yQ5ILS6hboMNGwGsF6uf/8BNG/+gobd0BBoHW6y2JBr9IYTArBOCYQlixbTwEFVbidPCQC3UpcBBwxgqUVObi6NGX2+z9Rz585V1y+8yN2k55OoU3jRnSSfQvLdql0GTmcG8DT02+nTT+cmnDbYscmtqIgXqfC0aRwDKPzR9uvn7Ak8o1g3qctAvTKAoF7xcXEU72eT9spVK1W93bp2q9f63cLqj4HGzzzzzDP1V5xbkhUDH3/8CY0cOZK6d+9uddnyXNPISIKzdPiIdCrhYWHqFSaeOjkVuH+Li42zjClvV0bYySAnHGwYMOA6DG58nIoEm4QDtCOmWTPlQs8pNol+wAGWnIRHhJ5+JBzs3LmDpn72Gd1zzz3Ka4cT7prHxChf3ti45FQk2CT6kdiOxEYldlBRcVh5iOnWratT2ggccL2ISDlAPVg/7VQSExIJ6zA5fQF28NZbb9GvfvUAwae5E5HoR8IB10bhFz+pdZLy7sEZEyXYwAFXP5L+w+UA+mvZsoXy0R9oDiTY6tJ/sPcCNuprszbW5L/x+huqHzz22ARLV61ObNxNEwgGqr1buC7gAsGvqUzXBZyJEPdrg2Bg3br1dNm4cfTfqZ+xvVw0CAKC2Ai8vp04eQrdfNMvHP8gCSK8oFSVm5OrIpdu3JgWlPrcSlwGpAxMmjyFxl1yCbVKaGVbxKSJk+jxxx+nG39xI7322mu26dwLp4KB6kmy85/+pwLnGVwnPBSUlpayGNhfXEzYOMARhPpEtDyOABcX26qVq6i4qIhTjQqDzcUm4QCbybi7vyX6AQfY/cyRYOlHwkFcXCxFR0fT4oWLHDcJHj7gJ5gjEmwS/UhsR6IfiR1g8xVCBGdl7XJMHTjgipQDREPjCDYvcvtC6opUGj5sGKeakB1DEMEPHHDHxGDpR9J/JP108eLFQeFAgk3af7Zv30542+prggwj1uuRe/XuTQhV70poMuBOkkNTL5S2cSPt3cdzlZW9Z4/a1c9pEny1lpeXcbIoXFxs+w/sp8pKnhcNCTYJBzt27qRy5o8LiX7AAfdHjIQD6IarHwkHWB/6+BOPU6/evRzbD3aZc71vSLBJ9COxHYl+JHYADtq0SVYRupySDQ64IuUA4eo5sq+ggN0XMKEaMnQIpxrli5o7vkk44NooQmmDAy5vEmywUW49kv7D5QCKLCwqZmOTcCDBJu0/a9aupW7dfK8xListpUWLqx4uIIJgaQnvgRirE7iJ68SAu9yiTvQ5y4zlFmMuGEPDhw+nrl27UreuXamoqIhWrlrlLQBx6OESynwe4UsvGDNGpVuwcCHBv6aWYUOHet3EzZg5U58mXRZOZGzfTvhlqwWvxyF4koHY9EbR1+Af0uj+pl/fvtS2bVvlG9k4cCCC3jnDh6sizHkQ815HkrLDtmHDBrUDWGOw48YJB/jVb4fNzIHGJuGgvvVj5kDrwIzNyIGZayf6MeoAfGsOcGy8pnWA82Zs+pqEA7N+fNmoxmbmAJg0P3YcmLEZbVTSf8wc6PrN2IKhnxMnPOop/J133K7cRZmxNXT9vP7a63TFlVfQ+eed53WfZ+Yg2Pox24HWQX33H/MY5qv/2HHgpP+Y+6mv/qP7Kco1jiFGbHb6MfdTX/1H3+d8YTPWDzwaG0c/ehz1hc1uDDHqB5H0+vXp6/1BZxyrNDf//ewzmvDIo9ShY0f6zUO/oYvGXkhJyUmA7kpIMFC93ML5LqqQAH76gkCYSQygOgwrwhPjuxZsaILo85jYIm1iYnWEso4dO3rDV+q0Oj/K2rt3r8qPDTFaUIaxHn2+CSI+de1KWVlZ1Dox0TuhxfW2KSneyTe+680/+ESe4uKqXfbo8FrMeVC+FuTBq9XWia3VJgV9Hjj1RBrnzNxobDGGEMZ2HGhsXg4MvJk50Ng0Bxh8sUnSiMXcHs1BXfSzPSODmsXE+ORAc6OxWXFgh01zYKUfsw1oDlAfrmkOtA5wPhD6wWYVLNHwZaMam+ZAY5Pox2ijdrajOfDajqH/mDmoD/1oO4AetTjVT3lZGa1es5ZGjDjHr34whqBcPKnSYseBth0rDvz1H9go2qL1hrrsbFT3H0yewK2RAztsKA/tAG/9+/WvYTuB0I+XA8MYYqcfs4067T/t27WjzenpKupeXHy8Vg/ZcaB14MVmsFF9zVvIyQONjaMfbQf6/uOr/xj1DX50PzX2bTv9aDtIT99C7dqmkJEDs+0gLURj83JQz/pB+RCNjdN/tA7ycnLJ4yFq266tKgv/jO3R9/lPPvpYXe/fr583nXsQmgy4T5KDoBfJxj38+kTnwhNcp4KJKDp6QkKC0yyEaExdO3dmBYTAYAjhYMP6O9zgOL+WJdgkHCAaE7huzgiKIdEPN4gEOJZwINGPhAMJNkQZS2zdmhWSV4JNoh+J7WgOZs74gTIcrjdHPQikYZxMmDtsty5d6Iabbvae1hxgicuPK1fRLTffpMrwJrA4AAf6TY/FZctTUg569+pFEZGRlmVanZw0eTJhguA0oApeT993/6/oP++8zeqnWj+cgDcSDrR+nI4h+LHzzfTpdNHYsZSUbB9swsydBBs44OpH0n+4HKBt077+hkaeMzzgHEiwSfrPsmXL6Nix4zTah3/ktLSNdMnFVREj//Peuyr9uaNG1nggpvVeWFhEEeFhZHxQpK+5n4FkoPpJsjtJDiTPJ8uWTJKDACuoVeC1F1zTcVz9BBVgECrDJp3w8AhqFtMsCLWFZhVYLgT3VxwXcKHZkpqonnz4N7WWL9VMwfuG18X/fO3NWpnKy8tpyn8/oyGDB9Og0zioBiaJGA/CGS4ua5FxGp/ARseCgkJq0SL+jOUA6sMejcjICGrcuPptx2msVvryy6/Ussp2hifJ5va8/PLL9MK/XlCn8TbBlzvDP/3pz/R///cPcxHu94AzUD1JbhiWGXDC3ArqyoDxVXldyzpd87dghhk/XdvpCzfWHjZEsZrQBqKdeAKNtZM7d+48rSfJWHZ0JgseFnDeqjVUrrD0qqHI7qxdVFFRocJs+2rT3Lnz1OVRo0b5nCBPmTyFok4uNfFVnnstsAy43i0Cy6+4dLzq0a/NnRayc8cO2sf0iIGduOXMnbXAxcWG9YR4esQRCTYJB3gVV1pSwoFGEv2sXLmKtjt8Ja/BSDiQ6EfCgQTb7l271OZU3T4nnxJsEv1IbEfCgcQOjBxgPXJJaalf143ggCtSDriuGtetXUf5efkseEYOnGaU6EfCARcb3qzNmj2H9jPdYkqwgQOufiT9h8sBdLhp4yY6yLwvSDiQYOP2n6WpqRQWHk6FhYW25ollQ2vXrFHX9Tp3LD0y94XCgkL605/+RGMvutC2LPdCcBhwJ8nB4ZldC7xLcF1lwY0Z19VPSUkJVR7luW8CLi62nZmZVF7O8+EswSbhAG7JjjL9vEr0c+DAfjrEdDUn4UCiHwkHEmx7cnJo/4EDrP4gwSbRj8R2JBxI7MDMATbbZu3e7ZNHo4canwkNF6UcHD9x3FCK/8ONmzfRvgKei0szB/5rIZLoR8IBFxtcwBUU7KMjTNd5EmzggKsfSf/hcgD9bc3IoLLycieq9KaRcCDBxuk/mNRiKRSWkfm6B3/8yafeduTm5tLu3buprKyM9u7bqzzXYL3yB+9/QFddfTXRWUQD3BDsXr5O1YG73OJUMe/W6zLgMuAyIGSgS5culJmZSd27+/bHKizezeYy4DLAYAB+mLHGHp46rGTpkqW0aMkS2rRxI10wdqxKcuz4cfr97/+gvFLNmztP5dd5O3XqRL/4xY0UFR2lT7mfp4gBd5J8ioh3q3UZcBlwGZAy0LVLZ0pdsUKtgdQusqRluflcBlwG6sYA/CSfM2yY7VvZc887l/BnJVhu4fpJtmImNM653i2CoAeJdwusWYMfSo4XgMojR5TnAI4HicMVFeoXbKPGjR0zcfRoVeQ8DjbHhRsSSrBJOEBIarSFw4FEP8gDzw6cHf0SDiT6kXAgwWZQr+NDCTaJfiS2I+FAYgdWHMyaNZvat29PvXr1tOQS9XA3zEo5iIiIoLMaBXb1nhUHlg03nJToR8IBF9uJEyfU0qumUU1Znh0k2MABVz+S/sPlwKAm1qGEAwk2p/0nLzePFi9Zop78SrBhPfKZ7uWEZQBBSex6twgKzXWphHtzQ12cyZfGFinYPRvoyXFdsEk44Ph31dgk+pHkCZZ+JBxIsGn+OJ8SbBKuJbYj4UCCzYqDdu3a0a7du2wnyZJ6gsUBR/86rRUH+prdp0Q/Eg642Bo1aqQCC9nhtjsvwSbhQGI7XA7s2ujvvIQDCTanHGTvySYEh4FIsLleTvxp/NReD+xP/1PbNrf2EGIgJyeHDh06FEKIgg8FgQAQLepMln1791FpaemZTIGKPlkfdpDSJpn27t1HeCp5ugm8vOjIkKcb9vrAiyeOiDrI9fhTH3WHUhlZu3YRntiezpKbl18nd36wAfjNdiU0GXAnyaGpF0Iseqxz4ggGXa5rNsSiL/bhssaqfuDiYtu0aROVMl3NSbBJOICrnyKmKyaJfiSTZAkHEv1IODBjW7FiBc2dM9fKZLzntu/YTvsKCrzfnRxIsEn0I7EdMwdO2iOxAysOYuPiqHnzGNqdnW1ZLTjgipQD7kQHtsIdq6w48Nc+iX4kHHCxwQPChrQ05RHBXxuM1yXYwAFXP5L+w+UA7VqzZq3yQGJso79jCQcSbE76T8mBAwp/hw4dFGwJNkReRGAZV0KTAXdNchD0gjXJV111FY06d5Q31DT88m7essVbe0KrVoQd6/o83M8g8EJcbCwNHDhQpUN4UaPLoN49e3pDtGIQQPSisCZNKCUlRZWFTMpnbk6Otx4dphZrtNauX686eHRUNDUJa+INYat8Shp8V3bp3FmFui4oKCDs4oXDdAjcUPXu3Vsdm/MMHDDAG6YW2NAeOI5PadPGiw2ThQLDBF2H4dYcwHURsEVHR/nlQGPTHLRq1cqLzcyBxqY5gAueppGRag245sfcHs2BxibRT3FRMYVHhFOnjh1tOdD1a2xWHNhh0xxY6Qc6MIrmAOdwTXPQsWNHb7hxrn5mzpxF7733Hj3+xOPeqrSNamx4ihweFk6ISAV7hwRSP0YblfQfMwcS/axduYI+fP992rpjp3rqGxERTiNHjKBHJzxGYy+qCk8r1c+mTZsJa9BT2qbUGltgo/Hx8RQRHs7uP77GEG07RhuNaRZDjRo38juG6P4Df+4YD5KTkrz91J9+tI0mJyd7bac+9KP7trZRqzHETj+aA43Naf9J27iJCgoLqEV8C4qJaeZXP7qPaGy+9GNlo071oznQ45uv/qPtwDyGONGPtoOiwiL1Qw9BcvR9zjy+mccQzYFxjK8P/Wg70Nic9J/DFYeV3Xfu1Ing3lJjM+rH2B59nwdn+vz27dvdjXvqThBK/9w1yUHXRnKbZOrWtSvpnehY74TvWrCxAqLPr1y1ilq2aEFYd6gFA7Dx1apxzRTKQhSumJjm1Lp1a52FWrRo4a3Te5JIbVRDnnXr16uJa/PY5t7LmKwa/QY3OxkVqXlMjMKMpRMQpNNizmNct4x6fvpptbohGrHhOC4uThfhxak50Nji4qvT2HGgsWkO2iQnecs1c6Cx4RPY0tPT1Q+L5s39c6CxSfTz04HVhDp8caBBa2xWHJi5dqIftNMomgOcM3IArrRw9TNkyGB69JFHati1tlGtH7xRwMTNyEEg9WO0UTvb0Rxo2zFiM3OguXGqnxee/Tu9+fZ/KDw8jOJjm1PR/gN05EglLVi4iFavXk0zZ82m/mcPrMEZ6nCqH0w0v//fDzRs6BDV15HXaKPQLda/arHjQOvHigN/+oGNduzQgSIiq8Yw1GVnoxpbVtYuSkpKqjGG2GFDeUYbTUhI0M1RdmQcQ/QFp/pBenP/0RwYxxC7/qPr0WOI0/7ToUN7yt6zh5KTkwiTPS12HGgdaGxGG9XXdBn6U2Pj6EfbgR7ffPUfOxt1oh9tB/n5e5UdGDkw2455DNEc1Ld+tB1obODAX//5YcZMumjsWIqNi1X3L43NqB9je/R9HjrS5zFJdiWEGfDUkBMej8f9q28ORo8e7fnuu+ksbrdlbPMUFhWy8uTn53lKSg6w8uzM3Ok5dLCclQe4uNhmzZrpycvNZdUjwSbhIDt7t+cgkwOJfsDB+vXrAs6BRD8SDqz0M2rUSM/06fa2vmzZUk/G9gwWBxJsEv1IbMeKAz1+THr/HU+r+Oaed9963XOk4pBqc9mBYs/jEx72xMZEeaKbRnjO7tvTERe+OPj+++89+NP16k9woI+dfko5qKw8wqpr4qSJfvvCxx996PnPf/7jLdcXB3bt86UfuzwSDrjYykpLPOAgLzfH2z47PMbzEmzggKsfSf/hcoB2fTVtWlA4kGDz13/27s33TJ48uYb+JPrBmHhgf3GNcow6d49PxZy0emLsLrcIwg8YiQu4IMByq3AZqHcG7vvlfdSoSWN65+23673s063Adm2S6MEHfkV/eOqZWtAf/c0D9N6HH6vza39aRd16962VxukJROmCz+Qbrr+O4g1vApzmD9V0v/n1b2jcZePoyiuvDFWILq4zmIF169YTwkyfd/55ZzALDbXp1cstqt/DNdS2uu1yGXAZCBoDPXv1pG+//uaM92CxesVyiggPo/t+9aAl93fdfa/3/NatW73HkgOs64Xk5edLsodsni1bt1KHDh1DFp8L7MxmACGlsYzSlYbNgDtJDlH9YkdyZlYWC92W9HTKy8tj5UlNTaWS4v2sPMDFxYYNNuVl5ax6JNgkHGDDEDZpcESin41paZRt44nArm4JBxL9SDiwwnbueVVPVbChzErQfq7rLwk2iX4ktmPFAdrdvVdvWrJ4CbVMSKxFA+wgPiGRYppFq2vYoOtPfHHQKqEVde3ShbZl1FzbCA64IuUAASs4Ai8AvtzgFRYWUvbu3dTbECjFFwd2ddvpxy49zks44GI7fPgwLV++nOAdgSMSbOCAqx9J/+FygHanp29hu8GTcCDB5qv/lJeXU2FRkdqEbdSfBJvEDox1useBZcCdJAeWX3HpGESPMX0nVh49SsePH2fVefjIETp+gpcHuLjY1CS5nDdJlmCTcACPIcYNkU4IlOgnNy+PPRmXcCDRj4gDC9vp27uP8sqyYMF8SxrVJJn5g0SE7RT3n5jYOEpub/0U1GgH2NA3fOQoS66MJ/1xcO7IkcpTjXHSBRvliqT/wEY9Hg+rKrg/8zVJ3rhpE41wNH1GAAAgAElEQVQYMYKM0UP9cWAFQNJ/JBxwsR07epR2ZmZ6PQVZYbc6J8Em0Y9kfONygPalb9nCdoMn4UCCzVf/2bYtg+ANw2ifaI8EW5Ud8PuqlX245+qfAXeSXP+cuiW6DJyxDERFR9FvH36Y1qxec8Zy4KTh2zZvpLLyg3TNVVcSJtR1lfDICOrUqSNlbN9R16JCIv+CefOp/4D+IYHFBeEyYGYgIyODunatcmFpvuZ+b1gMuJPkhqVPtzUuA6ecgcvGjVPuzU45kBAGABdwkDtuv6PeULZr25a9nKfeKq/nghAQZ/CQIfVcqlucy0DdGSjcV0DlBw8qt6F1L80tIdQZcL1bBEFDEu8WiJDUJCyshr9Uf1AR6rRx48a1XgH5yoe1auHh4dSocWNfyWpcQ/ACiNFPZo0EFl+Ki4oIDuM5se0l2CQcICAA2sLhQKIf+JeGn2yjL1ULqmqcknAg0Y+EA1/YhgwZStOmTaP27av9fKNhWA4QFh5OUVFRNdrp64sEm0Q/EtvxxYFdm2AHN173M+W/eEnqSrtkNc474QBBZKZ+/gX94sYblJ2BA+1jtkZhPr5IOYD/17MM/ph9VKEu5eflq/GgWUwzy6R9+/aj2bNmUZuUNt7rTjjwJj55INGPhAMuNvTRXbt3U0pyMktHEmzggKsfSf/hcgAVIagMAmZx7gsSDiTY7PrP119/o5aUXXbZOLO5kQQb1ud37tSZ7PpCrUrcE0FgoNq7RZMg1OZWIWCAe3NDFZyBRkOKbNpUHzr+5EyOdaEtWrbUh44/JdgkHEQ42DhlBi3RD6IwcUXCgUQ/Eg58YRs6ZAitXrO61iQZoZS5IsEm0Y/EdnxxYNfOZQvn046dmbR06TK7JLXOO+EAP8Dg6SIzM1NFsQtlDpIMwX7Mjd26dRvFxcXWmCAjjRMOzGVJ9COxAy429FFstuSKBJuEA4ntcDlA2xMTa29s9ceJhAMJNisO8AMXUWLHXjDGEqYEW//+7rIiSzJD5KS73CJEFGGGgTCbCEXKERWitaCAk4Ww67espISVR4VIZWJbtXIV4WkyRyTYJByo8KBMDiT6AQfAxxEJBxL9SDjwhW34OcNpyaLFtZoKzw640XBEgk2iH4nt+OLAqo0LZ8+kx598kl544QXq2qOnVRLLc0456N69G23dtk2VYQ7Va1mw6aSUAzyp48js2bNt+8LatWto8KDBtYpzyoExI1c/yCvhgIsNTynBAXdMlGADB1z9SPoPlwNwvXjx4qBwIMFm1X+wYa9Zs+haXi20zUn0g7cqeALtSmgy4E6SQ1MvygtCBfPGg7jxR5id7UBJCenX806pAC4utv0H9lNlZdUyDaf1SLBJOCgtK6sRhtsJPriMk3AAfByRcCDRj4QDX9hGjBhJK1fVXkqAeri8SbBJ9COxHV8cmPX81WdT6Iabb6Zrr72WBgzirbd1ykGHDh2otLRMLWvhujUEXikHXO8w+woKVF1mjvB96ZKlNGLkiFqXnHJgzMjRj84n4YCLDV6IwEFlZaWu1tGnBBs44OpH0n+4HKDBhUXFQeFAgs3cf44fO6Zcn4694ALbJY0S/cydP4+KmW5YHRmLm6heGHDXJNcLjb4LwZrkQYMG0qDBg6lzp040cuRI2r5jB61YscKbMTEhgS655BLCr0p0Gi1RUdF03bXXqK/Tvv6GDh2qnmRdNPZC0q8tJ02erLOQLgsn4IMRLma0IM58UnJyrXpw/bZbb1XJ8IQDA7iWc845R70atMOMdMb68V1jKy8ro2+mT9dFeduPE2Zs/fv1I7x64nCgsWFdF9xKaTFyYL52zdVXU7OYGOWf04gNee040NjMHEj0o23AioOGpJ+/PPUUzZ4zR9mOWQdG/ZjtIFD6sbNR6MF4ra76MfdT2GhSq5bUrVtXumLcJTTm0iuUmRo5MNaPi076j7mfahudO3cu7cnJoSZNqlbT+bJRJ/2nPvSj6/HVfzQHr7z0Mt1y26106823WI5vvvSj+695DAGn+pqVfrD0wYzNl37sbNSIzU4/Zmy+9KPtIND9h6MfZbwGG8V3rTscGzkw247WgZkDJ/rxxYGxfpRVF/2Y7UDrB8FDZs+ZS5GREahCiZ1+jBwY7c1oU0b70OXoct3PU82AuyY56BqIi4tTk9fmMTGq7qaRkeq7BhIfF68O4TcVHal4/wFCmvj46jWcrVq2oMPR1RuekFYL8hw8iM1+TUiXhWuoD9e0YJMeRNdzoKSUoqOjKOzkDRXXjPnxHTj0J8qqqKh6tWpMZ6wDaTU2bCTEtf0HDlB0VLTCowqzwBYdXRVcwYwtpln15h4zBxob8qIeKw70NV0vMEE0trKycopsGumTA41N602iH3AQHhbmk4NTpR/NgbZP8GO2Hc2BU/288847XtvROsATHazHNNqOuZ5A6cfORtFWo+344sCJfqxs9O47x9NNN95Al119reoLsAMjB3bYzDZqxGbMjzZo/aSktKXsPZgkh1GL+Di1yQjXIVbYcF7rx6r/+NMPxpCYmGbU2LBxz4xN91Pdf/AjPDoqilq2bFEF7KQO8NQTgUR69ujpHUOQAPw4sVFdmNlGjeObHQcamxUHZv3Y2agT/QBbyxYtqKi4mHBfMOYxY0NaSLD1YzW+mTnQ2OqiHwTkaN68uRoXte7MHGjb8cWBGVtd9KPtABwY+09OTq7aZNi8edU9HHg1B2Zsdjo19gt9bHwgpTlwP0OIAU8NOeHxeNy/+uZg9OjRnu++m87i9ocZP3i2ZWxj5Vm/fp0nO3s3K8/8BfM9RQX7WHmAi4tt1qyZnrzcXFY9EmwSDlJXpHoKCwtY2CT6AQfAx7EvCQcS/Ug4kGBbtmypJ2N7BosDCTaJfiS244SD++66w/Pko7/1ttlsB3/83aOeOd997b1uZR8cDiqPHPZ88OGHnu++/85nmVb1SDk4dLCcVdfESRMt+8LLL7/suf666yzL4nCg2+ZEPzqt/pRwwMVWVlriAQd5uTmWbdVYzJ8SbOCAqx9J/+FygLZ9NW1aUDiQYAMHmv/jx495Pv30U0+Rn/uERD9VdsC7N2pc7meg5qvVE+PGzzzzzDMhNGdvkFA+/vgTtcSie/furPbBVVgU0/sE3KzB3Q9H4uPiWO7cUDZ20nOwIfQunppwPS9IsEk4wNMMLjaufsBBy5YtFXehph/gkXDA1U9EeATFxsaybVSCjasfcCCxHTsOyksO0P2/vEctORk1egwtWbJY/a1atYo2b9pEy5cuoT888RghMMHzr7zm1ySccoCnaPuLi+mss86iLgIPChIO0Lf10zu/DSGiqOhoat26da2+kJWZSYMGDaJevXpZFuOUA2NmO/0Y05iPJRxwsMFdXkxMDCW0asUedyTYuPoBH5L+w+EAdTSNaqqeqnPHXgkHXGzAhyf+ELjrKywsosGDB6nvvv5xsWGJoev+zRejp+Ja9XILd01yEPiX+EkOAiy3CpcBl4EAMTBv9ky67bbbVFQ9f1X839//Rg8/9ri/ZKzr2dl7KHXFCrrxhp+z8rmJXQZcBmozMGf2HEpu04b69u1T+6J7pgEyUD1Jdv0kN0D1hmKTJMFEQrEddcEEDrCmFZsGz1RBMBFwYOWDtCFxMmP6N5ScmKD+zO0qrzhETRo3psjwqjc+Y0afb05S5+/t2rWl2XPKCNHBWiVW70moc8H1VEB+Xt7JYCJnZl84fvwYFewrUGuyw07aQT1Re1oVU4BgInGxFOoc5OTl0ZAhtd0S1gfZs2bPoSGDB6m3jPVRnltG/TLguoCrXz7rrbQFCxcqdzOcArekp1NeXh4nC6WmplIJ0/1MZlYWG9tPq1ez3dxIsEk4gB9Rs7sffyRK9AMOjJ5G/NWB6xIOJPqRcCDBtmnzZsINhyMSbBL9SGzHjoMX33yH1mxMt/x78+336LMvv/FeGzBkuF86JBxEhIfTkmXOA5YAhJQDRHXjyNz589l9QcKBnX58YZVwwMVWcaiCwEFRUbEvKLWuSbCBA65+JP2HywEat2TZ8qBwIMEGDiB5uXlqeVj8yaUXtZRiOCHRT0HBPjrKdI9qqNI9DDAD7iQ5wARLiz98+DAdO3aMlb3y6FGC/02OHD5yhI6f4OUBLi42DiadVoJNwsGRykq2H1GJfnS7OJ8SDiT6EXEgsB1O23VaEbYQ7j+6XZxPCQd4Wo/oYHBd5VQk/Qc26vF4nFYhTifhQNJ/JBxIsEmIkGCT6EcyvoUyBxJs4ACyLSODejjcTyTRj8QO3DzBY8CdJAePa7cmlwGXAZeBoDHQtGkkxTZvTogS5orLgMsAn4FDBw+qt6aIZOnKmcmA690iCHp3vVvA93Kc8mrQ2OCP2Qn1obgzXePm7v5GW1q1SqDwiCpf1bocf58SDrjeR4BBsvubiw3+QyVeTiTYuPoBB9yd6cjD5UBqB2wOzjqL+vXtQz+uXEW9e/XyBhfxZ28SDrjeExITEpV3C25fYHMg0I/UDjjY4AkkqXWS8iDBHRODoR9wIOk/HA5QB/xkx8fH20aws7NVCQdcbKh75cpVakzgbNjjYoOnl1YCLyd23Ljn64OB6o17rneL+uDTTxmudws/BLmXXQZcBgLGwKxZsyklJcXdmR8wht2CGyID8BAzY+ZMGnvBGOratWtDbKLbJlsGqifJ7nILW5LcC/XJwPaMDBUGuj7LPN3KwlMJhDw9k2X3rl1UVFR0JlOgnk4F0w7atWtHe3L2hBTn69auU+HnQwpUEMFUHDpE8Gqw/wzvC5s2bqKDZWVBZN55VXuys1Xi9m3bOc/kpmxwDLiT5BBVqWR3sWRnrWT3t8R7Arw6lJcfZLEtwSbhQLrzGTxw5MCB/YQ1bhyRcCDRj4QDCbY9OTkqLDOHAwm2UO4/EjuQcgCe27dvR/n5e+loZaVf2iX9B3bA9Z6wcfMm2lewzy8eYwIJBxIblXDAxYYN1vBqgA1lHJFgk+hH0n+4HKDdWzMyqKy8nEOByAOLBFvG9u3Ur29fCo90HpxLop9Jkyef0T8YWco/BYldP8lBIj0rK4s2bNig1uEh0lR5+f+39ybQcR3XnffFDhALAZAguIA7xZ2iNooSKQkSqdWS41hLFHkbe86Z2E7s8XeSceZMMonlGc98HmcyjjNO4i/e5GizJIuiSJkiKYqiuII7wQUgsZIAse/7jvedfwG38fDYy6sLdKMBVJ1DduO9V1X/+t1b1dWvX91qp5KSEk/teE5x4aJFnuNYWVtRUUE9XV20enj3KXRArJ7ltGzZMvW8FP5G2Qhj1tzSQv19faosHK+pqVH/OA9290Hq7emhq9euqQGqoLiI4m7GEZ8rLi6mDttkbmFWFiH8DXbxKr95k1qHv/kPDgx4dvQqKS6mdlue1atWUezwzn/QNjho0Y2yG9TX1+vRVl5WNmrCBC52Nhg8oS25JikgA9bGDDo7Oz3anAxYGzNobGpS0TqwU2EgBmw3iX36BwaoEQzLynwy4PpZmzcGEvvABvbEDHAM55jBokWLlA1wfDzt85/+03fpuWefpc6uLqqprqa4mBgPg2Dax+6jkv7jZDAe9mE/gB15R7xg2Ac+inJjY2LUzm5FxSUUQZbXMcTZf/yNIew7dh/Ny89XzzwzH18+yv0Hz22ir9oZBLIP++jczEyP7wTDPt7GEF/2YQaszW3/uVZQoHYbvH7jBjU3Nwcc37iPsDZ/9mEbsDaMIW7tw37A45u//sN+4BxD3NiH/SA2NkbtZmdn4PQd/pxjbczAPsaPh334cw7arly5oj4TEhNnqEl5oM9gf/axt4c/58HMfhx/mxSeBMwkOUR2wQYSWAiBBVVIMdHR6m+uPnHGjFHHKyor1bUzU1P5EsJ7e4g3lMEJZWPQSExM9EyccQ714ZwzYeEIjtfW1REWUyUmJXkuwQIH+9bWPNnFK/L0DYemw3Wc0D6+DsfsW9QiD+I344MR/zjhPbZn5eRkw9pSZs7kS3wyYG3MwK7NyYC1MQMM0MnJKZSUlOipxxcDtpvEPmAQFx/vlwELYG3eGPjSxgy82cfpA8wA9eEcM2Ab4Ph42gfbDe/76CN6ODubEhJmjGIQTPvY/UDSf5wMxsM+7Ad2bcGwD3wU5cLWq1evpouXLtJ9mzd7HUPYd7j/2PtpIPvAR7FwD5vEcPLlo9x/MElEnXYGgezDPmrXFgz7MAO7Nl/24X7K2tz2n5kzU2lwsFRtTe1mjGcbsDY7Az7H7PmVtenYh/2Axzc7A6d9fI0hdm2+7MN+cP36DTUW2Bk4fYc/51gbM7BrGw/7oHwk1FddU6s+E7n/MFMnA9bGNmBtdgb29vDnPMqzH+fyzWsYErBGpUHLssy/8WaQnZ1t7d69S4vtiZwTVnl5mVaeoqJCq7a2RivPuXNnrdbmJq080KWrbd++vVZVZaVWPRJtEgZXrly2WjQZSOwDBrm5F4LOQGIfCQMd+/z93/9va8nixdbevR9ahUWFWgwk2iT2kfiODgMeVyR+IGXAdfb39Vqv/OY3VkN9nV/2UgbdXZ1+y2Ud/Prqa696+kJdba2rvBIGEvtIGOhqa2ttscCgqrLCVduZm0QbGOjaR9J/dBmgTe/u2BESBjraenu6rV+/8op19OhRLdugPRL7YDwI1C/Z/uY1VPPTkYmxiW4Rgi8uJroFkdmWeojBdN2W+tPDh+mP/+hFeuPNN9TdzKm+LbW/YWWitic/cOAAZWbOpQ0b1vuTF5JzvC01+sPixUuoqlpvF8aQiAxiJWZb6iG44bgtdWlpKZ09e46ef/65IHqAKTq8CZjoFuFtnymoLn3WrFGPY0zBJgZsEhjgsZTpmG5bPhRC6caNGzSdJ8iw/UT5wZIlSwgTgHBIc+fNU33hWkEhrVs/8ZP2UDOJioomMIiJdb8oLNQaQ1Ffxpw5YccA627QV0wyBEBg5IFQwyOsCGBlbUNjo5YmLB5obW3VyoNICAhHpJOgS1cbFiHieS2dJNEmYXDz5k1tbRL7gAEW7ukkCQOJfSQMdLTNXzCfXnzpJdq3d5+2j0q0Sewj8R0dBmx3iR9IGXCdeF26ZIlaKFtaPLJg2H4e76UM+mwLip1levsbIfDQF44ePUKb7rnH2yW3HJMwkNhHwkBXG3iBge7YK9EGBrr2kfQfXQYwMBYuhoKBW22IAFNUVEzYYQ8MdJPEPlh02N6mF+FDV5e5Xk7ATJLl7IKas6ioSHtCJemgiLqhO0jhw013sofVwq0tehN4iTYJA4Ql6+rq0rKnxD5ggMFaJ0kYSOwjYaCr7Ztf/zohHBVspJMk2iT2kfiOLgO0W+IHUgZ2ztjZ7bYVy+nTo0d9+ruUAaIt6KScnBzVF44cPkLbtm93lVXCQGIfCQNdbT3d3QQGLS0trtrOF0m0gYGufST9R5cB2nTu3PmQMHCrDRPjzDlz1KI6MNBNEvtcvHRJRbXSrctcHxoCZpIcGs6mFkNg2hNYtXoVrVq9mqqqq6c9i4kCgLBdvb29VFBQMFESPPX29PTQiZwTtHnzvZ5j5o0hMJEE8q9eU5FgJlKDqTu8CJhJcnjZw6gxBKY0gXVr1xJ2XzRpYgjgeei5czPpxo2yiRFgq7WgsJBWrVw1Kgyc7bR5awiElAA2esJuoEsWLwppvaay8CZgJslhap8F8+er+MU68hCo3B6H0U3eeZmZo2Iiu8mDuMr4p5OwaYI9dqSbvBJtEgYZs2drM5DYBwywWYpOkjCQ2EfCQKJt/fr1lJubq4NAbYRhj9vtJrPEPhLfkTCQ+IHEPmDgLd1/331U39Dg9ZELKQN7zFxvdTqP3b5hA9XX1dGKFUMLOp3nvf0tYSCxj4SBrjZE9QAD3TFRog0MdO0j6T+6DGDjNatXh4SBG214PhrtxmNJSL76jzff5GMS+yxbupQSEuK5CPMaZgRMCLgQGMSEgAsBZFPFpCBQWnqdXnjhBTpz5vSk0DtVRR448DFlZMymjRs3TlgTv/mNb9K27duUP0yYCFOxITBM4N0d79EdGzfS8uXLDJNpT8CEgAt7F8BiOt0VydiGdGB4Nzy3Dezu6iJsPaqToEtXG7bg1F3BK9EmYYBFNLoMJPYBAyzs0EkSBhL7SBhItEVHR6kd37CC3G2SaJPYR+I7EgYSP5Ay8MV4zZrVlJd/9ZbTUgbW4OAtZfk7gBX9R44epa1btvq7bNQ5CQOJfSQMdLWhjqGoBm2j2hjoD4k2MNC1j6T/6DJAW/Pzr1J7W/AZBNJ25fIV9cvK0qUjod/AQDdJ7IP2635u6+oy18sJmMct5OyCmvPQ4cMqPI5OJVevXdNeFHXi5ElqbmrSqUbpwk9TOklNktv1wtxItEkYnM/NVaGxdNojsY9kciRhANvo2kfCQKKtvLycVq5cSZ8eOuQat0SbxD4S35EwkPiBlIEvyAsWLKDIiAgqKxv9bLKUQXd3t6+qvB7/t1dfo7lz5xJCA7pNEgYS+0gY6GrD4klJVAOJNjDQtY+k/+gygN3zr17VjuwgYeBPG8Km5pw6RVjUGhk5MiUCA90k0bZz1y6qq6vXrcpcHyICQw/fhKiy6VxNRWWlWlE+a9Yswj98S0XQck4zU1Ioc+7cUcexiCA6MpKWLhv6+ae0pIT6bHeKF2ZleTZmwGr11tY2dYcX+8mjLCSUgX+cMEFBQkigktJS6u/vp/KKSqpvbFSTF5y7WV5OnbaQaHMzMyll5kxqbWmh6poaahyeVCfExVHWwoWqPGcePGcVHROjzkHb4KBFlVVVFBFBHm011dXUYovr7GTD2nBNIAasjRmQZXm0ORmwNmaA8G8IzYbrmI+zPczAbjdcr2MfMEBb0G62j5MB18/avDHwpY0ZeLOPM5oBM4CBcI4Z4G/YAcmpbTzs093dQ6tWraTz58+rOvBfMO1j91FJ/3EyGA/7sB/Ajtx/gmEfsEW5GA+89Z8ZiYlUcbOCFi1a5Onb3H/8jSHsO3YfLSm9TjEx0a77z5HDh1UUATuDQPZhH0W9wew/zMA+hviyDzNgbWDupv/gS2xCwgx1UwN5vdkHZfEYz32EtfmzjzcfdWsfHkO4X/rrP+wH7GfMwI19eBxFOxDtxs7AOb4xA9bGDMbLPpWVVerXrTmZc9CUUZ/B/voPrmVt/uxjbw9/ziOv/biq2PwXlgTMJDlEZsGjBpi8zJgxQ9WIn8R5MoMDWFiBJV324xg4mm1xNPG+p7fXoxgTt4Thv1BWT28PDQ4OUHtHhyoLp1CGvR7OPDAwoI4PDg5SW1sbdXWPxAlubWsj/OOUlpam3qJulIUykezXOPMsXrTIM0lGHossau9oH6UNOu3anGxYG9rEyRcD1sYM7NqcDFgbM8BEdIjByN0wZ3uYwVjsg/Yg7JXdPk4G3E7W5o2BL23MwJt97JxRBzPAe5zzMLB9OXJqGw/79A/00/oNG6i0ZGTnt2Dax+4HvnyHGbDvBNs+7Ad2bcGwD7crLjYWb1WyM8ACz+LSUtp832Y1rkCDNwaB7IP2IN5vZNTIXThfPor+g6gWZTdu0Pbt20aNIXZtEOsc39hHsdiNl786fXS4mWrSg/ZI+g8zcGMf7qesjfsedDi12ftPS0srRUVFUptjEwlfDNgGrM3uo3yO286vrE3HPjyGoAyUa2fg1OZrDHFjHx5Hcee23fELo9N32A9YGzOwa/PVf5iBP/sghnLqzJkUHze0+yFrAwOU66v/4DxrYxuwNrt97O3hz3nktR/H3yaFKQFrVBq0LMv8G28G2dnZ1u7du7TY7vlwj1VQWKCVJzf3glVeXqaV5+AnB62GulqtPNClq23fvr1WVWWlVj0SbRIGJ3JOWPX1dVraJPYBA+jT8S8JA4l9JAwk2o4dO2oVFhVqMZBok9hH4jsSBhI/kDII5Gtvvf22VXq91GMPKYPOjnZPGYHqfPvtt6y5mZnWoU8Puc6DMiUMJPaRMNDV1tbaYr362qtWVWWFFgOJNjDQsQ9YS/qPLgPU8+6OHSFh4EtbY0OD9etXfm31dHXdYgcwCOTLzvMS+wz5gd5no7Ne8/d4z1tHJsYmukUIvryY6BZE2IoXd2P5bkoIsIddFXgWVd1l0QwDF3YNGYOg2ppaik+In9axccPJD/Ly8ggRR55++jNjsKpeVkS1wNbpP/vZv1B6erpe5ilyNRZ44flVPLKQpBlOc4ogUM3AYyeZGRmexwZD3bZjx4+rKrdu2RLqqj31YeFeQkKCJ/Sc54R5M4EERqJbmMctJtAM06lqLBSa7gnxcad74uf+pjOHcPKD21asoFOnT1NLcwvNTJ0ZErN89d9/jZYvXTZtJ8iAHBsXR7fffntIeIdzJUsWL54weYgoUVhYSJ/77B9MmAZUPJ2/JE0oeJeVjzxE5jKDuSw0BBAeSDdcWHlZGTU1NmoJvJqfTx2254/dZIYuXW24e6YbAk6iTcJAaXM8FxeIg8Q+ly9dIkR30EkSBmL7aDKQaEP7GzV9NFT2kfiOhIHED6QMAvlaTGwsrVi+gi7nXVGXShngzqjbtPnee6myqlI2hoTCRwXjqK59EG3i+PHj1NLc7BZbyOyDiiTjmy4D1CMJASfxUW/arhUUUMbsDEpLH1pz4zQEGOgmibb9+/dTo21xvW6d5vrgEjCT5ODyFZeOaBj2hQluCmpqbqYOzdiOVTU1ajGZm/L5GsmCA2+DFJfn61WiTcKgrr5em4HEPoju0aQZbk/CQGIfCQOJNjVJ1mQg0Saxj8R3JAwkfiBl4Ktv2Y8jNuyN4ZCOUgZYIKWTEP5M94u2hIHEPhIGutrsUTF0uEm0gYGufST9R5cB2i0JASdh4E0bHjNaunSpT/xgoJsk2mrr6qi3t0+3KnN9iAiYSXKIQJtqDAFDwBAIRwJYoT/QP0DYUMEkQ2A6EEA0ipraWlq0aCiE6XRos2mjjICZJMu4mVyGgCFgCEwJAlHR0bRq1So6duIEITSZSYbAVCdw7eo1WrTK9fcAACAASURBVLhggVpIPdXbato3NgJRL7/88stjK8LkDkTglVd+Q1u2bPEE2g90Pc4nxMfTrPR0ihuO3egmT2xMjOr0sba4qIHyITZk6sxUrZW1CACflJiopS0tNZVmzpypVY9Em4QBGCcnJVF0tPt1rBL7xMOms2aplcyB7MLnJQwk9pEwkGhDbN7U1FSKGd5ohtvp71WiTWIfie9IGEj8QMogJSXFH1rPOdgkLy+f8IzymtWrSXcMQT323co8Bft4MydjDmVmZlJs3EgMZx+Xeg5LGEjsI/EDXW0RkZGUnJxMGbNna/UFiTYw0LWPpP/oMoBhZ81KV1GP8EXNbZIwsGvDgr2Dhw7RfZs3Kxv4qhcM3PYfLkOiDXl1+wLXZ16DRWAkuoUJARcsxrZyTQg4Gwzz1hAwBMKSQGlxCX169Ah98aWX1GQ5LEUaUYbAGAl89NEBamltoeefe26MJZnsU5fAyCTZPG4xda0cVi3D6l2dFfBhJX6cxBQVFlJ1VfU4lTY5i8FqfmxJO51TuPrB0uXLKCkxibADWbBTdVUVIT7sdE0YCy+cv6AdWWiq8aqrraW+XveRUcbafkR/Kr1+XUV0GWtZJv/0IGAmyWFq55yTJ+nmzZta6hBBoq6uTivP+fPnqc229bWbzNClq+3M2bPU2NjkpnjPNRJtEgbYUKFVk4HEPiWlpVRbV+tpn5s3EgYS+0gYSLRdycujiqoqN033XCPRJrGPxHckDCR+IGXggejyzZw5GWpzEZeXq8vAoKd7ZEt3N3kPHDxI4KCTJAwk9pH4ga623t5eFXavTTOknUSbxD6S/qPLALY/cuw4NTTohS2VMGBtmCAjYUvtQAkMdJNE2473dlJtrd7ngq4uc72cgPsHgeR1mJxEVFlZRYVFRSqAPp417uzsJHuIGTyrieeS+DhChUVERFBffz8tXbJEMUQHxx70nBbMn+/ZwQ5lI6RSc0sLDQ4OqrJwHXa2sselxeYBSNifHrsd1Tc0EPaTT5gxg/gcJlldtg+9zDlz1LNZra2takWwvbysrCxVnjMPgsTzc6fQNmhZVFVdTRGRER5t0GsPc4fdt+xsWFtySkpABqyNGfT09BBrczJgbcwAq5zB1Q2DsdgHYZhawLCmxicDtgFr88bAydqNfWADe2IGOKZ8Z5jBgqwsZQMcD4Z9unt6qKGhQT0DDn9Hqq+vp+rqaoqLj1d/szZmMBb7oED2A0n/cTIYD/uwH8COrC0Y9sEYgnLxrH2gMYT7D3hh8rq6chXNnz9f2SNQ/4GPIk90TEzAMYT7D3YYQ9+3Mwhon2Efhd+w7wTDPigT46h9DPFlH6ePuu0/N8rK1JoOjIldPT0B7cM2YG26Y7xb+7Af8OePv/7D/RTX2McQN/ZhP4BvOhk4xzf+nGNtzEDXPn19/XTlSh5t3rRJxUZ2+g6Po6xNp//4s4+9Pfw5D2Z8vLOzgwYHBlVfM/+FHwFzJzn8bGIUTVECWKyDLz4mjSZQVFREf/mX/3n0wSn8Vzj7QWRUlFrMVFRUPIUtEB5N01noGB6KJ7cKTEqTkpNo4x0bJ3dDjPrQErBGpUHLssy/8WaQnZ1t7d69S4vtwU8OWiWlJVp58vOuWJWVFVp5jh8/ZjU3NGjlgS5dbfv27bWqKiu16pFokzA4d+6s1diox0BiHzDIzb0QdAYS+0gYSOxz7NhRq7CocBSD7u4ua8mSxVZdXe2o49wPJdok9pH4joSBxA+kDJih21cwuHgx1/r1K7+2+vt6vdrDWRYYdHV2uLqW87762qvafUHCQGIfiR/oamtrbbHAoEpzvJZok9hH0n90GcAX3t2xIyQMoO2V3/zGKioqcu2nYMD+6vZVYh8wqKmp1q7LrSZznWROOzIxNtEtQvCdxES3IMJipblz507rferBICkpmebOmxsCrwvPKspu3KDEpCQVCs+u8PnnX6Bv/8dvU/ZDD9kPT8n3k8EP3nrrbbr33k1+dyQbi3GwaA3jwXTtC1i4h5B7t61YTonJyWNBOanzYgObJYsXBZ0BFuzt2Pk+ffUrX9YKQzqp4RrxYyAw8ouvedxiDBhNVvcEVtx227SeIIMUGEzXSQF7yqLFi2+ZIOPcxo2306kc/YUyXO5kep0MfrB8+TLtBXy+bPBP//TP9NWvfnXU6TvuvGNa94XYuDgCg+k8QYZDrFu/LiQMiktKaFFWlpkgj+qF5g83BMwk2Q2lCbgGz09hoYJOwrfljo4OnSxUVVVFvd16IXigS1ebJAScRJuEASKC6K7Ol9gHDNrb2sPSPhIGEvsgBBwWxjjTZz7zNO3bv995WP0t0Saxj8R3JAwkfiBl4BWon4PMYM2aNWphLxZUBkpggA0avKWmpmb633/3d7Ru7bpRpxEKUbcvSBhI7MMMRgkO8IeuNvACA92wmBJt/uzjq1mS/qPLAHUjqkOwGYB1fv5VWrtutA/6ajsfBwPdJLFPUXGx1zFRt25zfXAImElycLiOudRLly+rSBI6BZXfvElYkauTrl67Ru3tevFKEW0A/3SSJAScRJuEAe4ytGt+uZDYBwxKSkt0sJGEgcQ+EgYSbQgBV+klBNwdG2+n+ro6Ki8vv4WPRJvEPhLfkTCQ+IGUwS0wAxxgBomJibRixXLau29/wC/eYICQZt7SkaNHqLu7m5586qlRpw8c/Fi7L0gYSOzDDEYJDvCHrrauri4CA3ukoABVqNMSbf7s46tOSf/RZYC6jx47HnQG1woKVHSl+Pg4X831ehwMdJPEPjk5OdRqtoPXRR2y680kOWSoTUWGgCHgiwC2pc1+OJsOfvyxr0vM8RAT2LjhdjX5zc/PF9f84e/30IMPPUQbNqwXl2EyGgJjIZB78RLNnOlue/ax1GPyTk0CZpI8Ne1qWmUITDoCW7ZspWPHjk863VNV8MzUmbRi+XIqKCwUNxF3zb/85S+L85uMhsBYCKhHQHp61CLRsZRj8k5fAmaSHKa2T0tLo4ThzRXcSsRPpHFxej8ppc6c6dn0w2090KWrbf68eZSQMLRZhNt6JNokDBDgPSZab18diX3AAPl0koSBxD4SBhJtGRkZlJLkfTX/3XffTbkXL96CR6JNYh+J70gYSPxAyuAWmAEOOBk8sGULDfQP+N0RDAy8xfzFozN9vb30xOOP3VLrsqVLtfuChIHEPk4Gt4j3ckBXGzZeAQNsqqKTJNp82cdfvZL+o8sA9S9euDCoDPAFDxvpSLTpjtVoj8Q+czIyKDY2xp85zLkJJGBCwIUAvgkBFwLIpoopQSA7O5t+8pN/pDtMwP+wseeZM2fU1sFPPPG4lqbfvPIKnTt/nn7yk59o5TMXGwLjQQDP+e7YuZM+/7nPEX4VMckQcE/AhIBzz8pcOS4EKioqpv0KXjDQXagzLvDDqJDamlq/kVEeffRR+shHlIswasaYpEw2P9iwfgNVVVdRS3OLVrv37PmQnnnms17zYEX/dO4L2M4aDLq8RHrxCmyKHrx+40ZQGPR099AHe35P8+bONRPkKeo7oWqWedwiVKQ16/lw714qLCrSynXx4kW1H7xOpk8OHaLG+nqdLEqXrrYrV65or+CVaJMwyDl5khoaGrQYSOwDBrphhSQMYBtd+0gYSLQVFRdRbV2dT9af/ewf0Ae//2DUeYk2iX0kviNhIPEDKYNRIF384Y1BXHwc3XbbbequsLciwMA52UPoN9xF3rpli7cshBX9un1BwkBiH28MvDbCdlBXG0JOgkFLi94XD4k2b/axSff6VtJ/dBmg4nPnzgeFARabtrd30N133aXaJ9EGBrpJYp/XXn9dhQPUrctcHxoCeg9ihkbTlKzl+vXrhA6UmZmp/rW3t1NJyUg4sLTUVFq4aBHZj9fU1NBAXx+tXrNGMbman0+9fX0ePsuWLaOkpCT1N8pG+DfEoLUGB1VZOIEy8I/T7bffrt4iNiVCA+GORnFpKd2srCQ+V1xcPCrs08KsLEpLTyfEgESIm9a2oZBxkRERtHz5clVeSXHxqDBqq1etIgTMR4K2wUGLbpTdoL6+Xo+28rIyampuVtfgPycb1oZJVSAGrI0Z9PT0eLQ5GbA2ZoDY0rAF7vAFYjAW+4AB9KHdsDWSkwHXz9q8MZDYBzawJ2aAYzjHDPr7+5UdvGkbD/t0dnVRTXU1xcXEeBjY7RMZGaHuMO7bt58eeThb+Shrk9jH7qOS/hMM+7AfwI7cf4JhH7ZtbEyMdv9xjiHRUVGUX1KiogSsX7dO9W27j+ZfvUrR0dGe/rNjx7t05513Er4UIfEYwv0H4xb6gp1BIPuwH3R2dHh8Jxj28TaG+LIPM2BtbvsPwpKBwY2yMmpubg5oH+4jrM1pn0BjvNM+gcYQ2Axl+us/vsYQN/ZhP8CzuE4GTm38OedvjLfbx7Isunj5Em3etIlSUpJdj29OH9XpP/7sY28Pf86jbPtx/G1SeBIwk+QQ2aWnt5cwQcCkB2lwYED9zdUnJSbechzXdnZ38yXqvT0eKcrghLL7BwYoorfPUwfOqTK6uviykVeLVP0YUHp6emlgcNBzDhNMlMepb3ijALza24DrOHV1d4/KQxafGaoHf4EBtx9/O7XxOWbD2qKiAzNgbczArs1Zj0fbMIPBwUHXDFibR7+Offr7qUdoHzsDiX3s9lSWcdiHGbANPO2z+4HDdyX2sQYt6uvr9+sHd911N7238z16JDtb+RRrc+OjTvvY/QB9KVj9R8c+mEjBD0Zps3EeL/ugHB4XVJn42wcDZ/9x+gHcJTk5mSoqK2k9bwxiG0O6u3soMmrkCzzuEGJDEvY7HkPYPlGRUWq8GsXAhzZuB/uBUxvXwW1UrzZtGN+07DM8jo7S5ss+jjHEnzY+BwbgNTAwNO64GeORl20pGeOd9kHb7NzYPuwHYIg6RzFw2Mczjg77mY592A8iKIJ6e0d/zjm14VqlZ/jzx9sYb28LHgvCF7aNd2xUG2XhnBttzIC1oU5mrgT46z9+7GNvD3/Oozz7cS7fvIYhAWtUGrQsy/wbbwbZ2dnW7t27tNju+XCPVVBYoJUnN/eCVV5eppXn4CcHrYa6Wq080KWrbd++vVZVZaVWPRJtEgYnck5Y9fV1Wtok9gED6NPxLwkDiX0kDCTajh07ahUWFfplUFRUaJWUlHiukWiT2EfiOxIGEj+QMtDxNVzrj0FhYYH1zu/e8diFywaDzo72UccfeuhB6/z586OO8fV4ffW1V7X7goSBxD7+GNjbYH+vq62ttUUxqKqs8MnIXj6/l2jzZh8uz9erpP/oMkDd7+7YYY03g71791qnT58axVWiDQx88fF1XGIf9AXdz0Zf9Zvj4zV/HZkYm+gWIfjiYqJbDP20lDknk5KShx4PCQH2sKvi8qVLNBOP1SxcGHbaQiUIYcEQJik9PT1UVYZdPZPVD3A37q2336H7Nt9LS5cu9cn12rUC+spXvkInT+b4vAY/j/PjOz4vmsInsAvhuXPnaN3atWpMmMJN9ds0bBe9MGsBJSV7DwvpN7OXk/V19WrB3ksv/jHhWfrJkNrb2lQYPGyoZFK4EBiJbmGsEi42meI6+NnLKd5Mv81bv2GD3/PT4eR0/oLA9p2sfoBYyHfdeQedPXfO7yQZkTC+9KUvcXO9vvKz915PToOD8fHxtMXHosZp0HxPE9esWe15Px5v4Jt4Zn6yTJDR5vH6gjAe/EwZtxIw0S1uZRIWR7AaV3f1NxYCYIchnXT+/Hlq01xhDV0Sbe1t7TrSSKJNwiAvL49aNRlI7WNfYOMGhoSBxD4SBhJtuJOsG/pLok1qn1D0H/iorh9IGbjxMfs1gfoPolzgmfKDn3ziyQY/QLQGTg9nZ9O3v/0t/tPrK+4kh4KBxEcDMfDWIF37YMEfGOAuok6SaHPax019kv6jywA6cCd5vBg0NjSoUIUIWehMEm1goJsk9jl+/Di12Baw69Zprg8uATNJDi5fcelYxYzFcDoJK6ztCy3c5G1uaRm1iMpNHujS1YbBAyuadZJEm4QBonXwog23+iT2AQPdiYGEgcQ+EgYSbWqS3NTkFrO6TqJNYh+J70gYSPxAykALNJGKcuJvDMHd5JW3raCiopEv5GCARzF00sVLl7T7goSBxD4SP9DVhgWkYKA7Jkq0Sewj6T+6DOAviLoxXgzwmM/iRYu93kWWaAMD3SSxT0lpKXV16X3W6+oy18sJmEmynJ3JaQgYAobAtCOwYvkKioqKImz5a5IhEA4Eert71OYsK1feFg5yjIYpRMBMkqeQMU1TDAFDwBAINgFs8fvY9u2EO3e4c2aSITCRBAb6+2nXBx+onfUWLFgwkVJM3VOQgIluEQKjSqJbYAer6JgYiomJca0Qz7nhDo/OKtnuri6KjY2lyKgo1/VwvE8dbdgIIi0tjWbMmOG6Hok2CQM8T4m26DCQ2AcMEhIStCI7SBhI7CNhINGGbanjE+IpJSXFtR9ItEnsI/EdCQOJH0gZJGj0NxhEh8Ennxyi2LhYuvvOOykuLo4iIt3fc8GWzOlpaVp9QcJAYh8dBuzEutrQR7GJxoJ580jHRhJtYKBrH0n/0WUAdtiWOjMjY0wMLl28RCdOnqSnP/MU+ZokS7SBgY5tdPsP+w6eSZ7uUU6YRfi8jkS3MJPkEFhFMkkOgSxThSFgCBgCYgKtra30u3d30HOf/7y6iycuyGQ0BIQEcBf5jTd/S6tXr6JNmzYJSzHZDAEngZFJsvuv/s4yzN9BJVBQUEANDQ1adWC7X90oDaUlJdTd2alVD3TpasPKY9wF0UkSbRIGN8vLCXcNdJLEPkWFhVRdVa1TDUkYSOwjYSDRhlXcuqwl2iT2kfiOhIHED6QMtJwNWxFrjCH4NWD+/Hl0+swZ6h/ejdFtfdVVVdpRDSQMJPbRYcDt1dWGsfDC+QvUoRndQqINDHTtI+k/ugzArq62lvp69T4X7AxKr1+nqOiogBNkiTYw0E12bbp5zfXhScBMksPTLlRcUkKNmqtra2prCat4ddL1sjLq1JwgQpeutjNnz1Jjo95qYYk2CYOblZWjtmh1w09iH6xirq2rdVO85xoJA4l9JAwk2q7k5VFFVZWnfW7eSLRJ7CPxHQkDiR9IGbjha79Gl8GqlSuprLx81Hbf9vJ8vT9w8CCBg06SMJDYR5cB2qCrDdEtLuddoTbNiD8SbWDAj2C55S3pP7oMoOXIsePU0NDoVpa6zs4gLz+f1q1ZGzC/RBsY6Ca7Nrd59+/fT7iJZFJ4EjCbiYTILqWlpSouJp7LxYYKiBVrjzWMXciw4QZiCZeUlqiJK8739/UTB1xHTMm+vl6P4mVLl3l2sOO4o/gJFCGcePMOhNyyh7JZtnSpCl7O9eD6wqIiSqisJA7wjxBV9gU5WVlZ6tlB1tzQODSoRUZEeOpB/fbE2nDH5Oq1a6o8tKuvv8+z45xTG+/A5dSWUlfvkwFrQ2g1/udkwMdZ3+pVqyg2Lk7d2YY2tAsM8KyoLwasjRngi4WufcAUWtBu3lTDyWCi7MMM0C5f2pjBWOwDX+zt6yP8mOXLR4NlH18+Cr+w9x/LsnwycGMfZz9lH2XfYT9AP2MGvrRx//FmH2c/ddoHtkS5MTGxY+o/Th+126etrU3Z8tTpM5Senuaz/zgZgDn6Aljx+OaLAdvHGwOnNu6/Th+1j2+B7ANdzjHEqc3OwD6G2PuPP/sgDxK+KDQ1t3gYOLXxOMpjmDdtTgZObWgLJpNYd8F8nNqc9vE2vjkZsLax2AefZ0NfGus82pwMWJuTQUVFJbU0t9D6p9YpP1dAh/9zMvDmO04G3H+4n7rpP8zAqc0+htjbw5/zkMn119bVUW9vn12+eR9GBMwkOUTGwOSgurqaMLHEJKSrq0v9zdWnpaapD8ze3h51HAH7W1taKSoy0jOA1tXVErYz5ZSlVvIObfOMsjs6Oqm7p4fiYuM8H774eRvnOA3lIeJ6enp6qb6xkWJaWz2DVGNDIzU1j9z1nTVrlsrOmjmmY+OMRk899jpwMWsbGBhQ9WNihDvJKcnJngmIUxsGEAxUTm09vb0+GbA2xNr0xYDPMYPbVqxQb1lbV2cXNVgN1Bod7ZMBa2MGEvuAAbSg3TwRdTKYKPswg6QZM3xqYwZjsQ9iOPcPDFBiwgyP7zgZOO2DfvBPP/0n+s53/uOY7OPLR+EMdt9JnTnTJwM39nH2U/ZR9h32A/QzniT70ub0Ubt9nP3UaR/4KMrF7m48EfWljfuImzHEaR8sbsKXzIyM2T7t42QA5qgTelibLwZsHzc+ypNAp4/axzdfDNg+3hg4tTkZeNPmzz68aQ1+9envH7kR4tTG4+hY7IMxHhMxfJYwH6c2p328jW9OBqxtLPaBf4MB2sfanAxYm5NBTU0tbd1yv1qo7tQ2FvuwH7jpP8zAqc0+htjbw5/zYOa0AY6ZFIYErFFp0LIs82+8GWRnZ1u7d+/SYrvnwz1WQWGBVp7c3AtWeXmZVp6Dnxy0GupqtfJAl662ffv2WlWVlVr1SLRJGJzIOWHV19dpaZPYBwygT8e/JAwk9pEwkGg7duyoVVhUqMUA2u69917rpz/9qet8EvtIfEfCQOIHEvuAgY6v4Vopg3fffdd6/Y3Xre6uLld1vvraq9p9QcJAYh8JA11tba0tFhhUVVa44sV2lGgDg86Odq16JP1HlwHa9O6OHSIGnxz6xHrjzTetgYF+V+2SaAtV/xnyA73PRvYH8xqs+erIxNg8kxyGX1ymoqTU1DSKiXUfzm4qMjBtIkpJTqGE+HhtFPdu2kQ/+O//XXvxp3ZFJoOIwOpVK6m9vYOu37juKn9GxhyakZjo6lpz0dQlgLvEcbGx2g28caOM1q9bR9gBcrKnL33xizR33tzJ3owpq9+EgAuBaU0IuBBANlVMaQKffnqY/vjFF+n1N96gbdsemdJtnUyNw/qHr3/96/TLX/yC9u7bT13dXfT8c89NpiYYrZOMAB5TwOYhLzz/HOERI5MMgfEnYELAjT9TU6IhEIAAQp/phsELUOS0Of3A1i20ceNGeueddyZ9m6eSH+zbv596e3rVc6FPPvE4DQ5adG14UdqkN1QQGzA4OKhC4A0M9AexlqlZdM7Jk7R+3dopM0FGWFDzuRC+vjr5f6sIX7ZjUvbJoUOEGJA66Wp+PlVphtc6ceIEtWiGZoMuXW0Ic6MbI1iiTcLg/PnzoyKAuGEusc+Ro0dVpA835fM1EgYS+0gYSLRhdynstqaToA2hDf/lZz+jAwcOUFNTc8DsEvtIfEfCQOIHEvuAgW7SZbDjd+/S6rVrCLu6YafP+zZvptNnzhI2efCXXnv99VsiEvi7HuckDCT20WUg0dbZ0UE7d+2iutq6QM0edV6iDQxgH50k6T8S++x4bychZrbbdOzYcaqsqqJ58+a5zaKuk2gLRf+BuAMHP9YOj6rVeHPxmAiYSfKY8AUvM6JYYNWzTsKqeawW1kmIhjEwqJcHunS16WjiayXaJAwQPQN3dnSSxD465fO1EgYS+4gYCHyH26XzytqWLl1Cjzz8MP3+gw8CZpfYR+I7EvsEFO/lAmbg5ZTPQ/ZIOD4vcpzQYYCwV8eOH6d77rmHEPIKadGihYSV/ecvXHCUPPY/RQwEPqrDgFsl0cZ5dV4l2uCjbB+3dUn6T7AZFBUVEeKsz549W7s9Em3B7j9ubWGum1gCZpI8sfxN7YaAIaBB4Itf+hK99fbbGjnMpcEisHPnTvqDz36WEhISRlWx5f776eKlyyqs16gT5g9DQEgAv0ycOnWasEB02dIlwlJMNkNAn4CZJOszMzkEBNQmDEnTe5EFGMzJmCOgN3WyIK5oWmqquEH337eZzpw+TfV19eIyJjrjVPGDjz46QE8+9dQtONNnpdPsWbP8Ppu8fu26ad0XYmNjCQySk4bi3N8CcZocWHXbba4YqEe0IogeeuihKUcGkV5M5KfwNauJbhEC20iiW2BxT3RMjNolya1EPPwfFRWlng10mwfPqmHAjoyKcpvFs8UpdnAKZpJokzDo6e5WnHUYSOwjYSVhwFvQ6thHwkCiTcLAqe2r/+6r9PQzT9MLL7zgsziJfSS+M1EMfDbcdgIMsNGHTnLLoLT0Oj3++ON06tQpSoiPo7i4OIqwheMqKyunw0eO0IsvPE8xghBf3jQ7/cDbNc5jEvu4ZWCvS6LNnt/te4k2MHDaJ1B9kv4TTAbv7Xyfli9bRrffvkEtctP9nJNoC2b/CcTfnJ9oAia6xURbIGD9+HDTmeSgQGy1jMUzOik+IUFrgoyyoUtXG/amxwCvkyTaJAzi4uO1GUjsAwbYLlcnSRhI7CNhINGG3fWw3atOcmr74y+8RL/97W/9FiGxj8R3JAwkfuBk4Lfxwyd1J8jI5oYBwr598xvfoEcffZTS0lIJDOwTZJSDZ5PT09Lo7PnzXqViEa9uX5AwkNjHDQNno3S14fEBSVQDiTZv9nHqd/4t6T+6DFBnbW1twM+F/Px8dc369euUTAkDibZg9R8na/N3eBMwj1uEqX0Q5ubmzZta6rAXPG936jYjVv22tbS4vVxdB1262s6cPau9gleiTcIgLy+PWjUZSOwDBiWlJVqsJQwk9pEwkGjDwhusTtdJTm2Pbd9OxUXFBFv7ShL7SHxHwkDiB04GvtptPw4GuskNA6z6z83NpS9/5cuqeDDAnTpn2rplC+Xl5VNpSanzlFrRr9sXJAwk9nHDwNkgXW3Y+ngoqkGjsyi/f0u0+bKPv4ok/UeXAeo/euw4NTb6ZtDT3UOnTp+hrVu3eDYOkTCQaAtW/3FyR4QPfFkwKTwJ6N12DM82TApVlZVVVFhUROnp6TQrPV3dTauorPRoT0lOpszMTM/xpqYmioiIoL7+flq6ZGihAkJ72aNKLJg/n2YM/5yKsrHavLmlRUVqQFlIDY2NowYh3tMeP8lfv3GD6hsa1CMa3CIK2gAAIABJREFU+NbM5zDJ6rJ96GXOmUMpKSnU2tpKNbW1o8rLyspS9TjzLFm82HO3GdoGLYuqqqspIjJCtROZoBehvTg52bC25JSUgAxYGzPA3S7W5mTA2pgB2gSubhjgLijsJrEPGKC90Mj2cTJgG7A2bwycrN3YBzawJ2aAY8p3hhksyMpS/onjTm3jYR+stG9oaFDPITIDXfvg15Inn3qS/vmf/pm+8affVM1iBk774CT7gaT/OBmMh33YD2BH1hYM+8BHUW50dLR2/0G0F1/2+fUvf0XbH32UNt1zjyofPlpSWqoeD2M+7KNzMjLoo48/pmfiP0Pz58/3jG9Y7Ie+YGcQ0D7DPgpdrC0Y9kGZGEftY4gv+3A/5THEbf+5UVamFjxiTOzq6QloH+4jrM2ffdgGrM2ffVTnISLuPzyO8vjmr//4GkPc2If7KXzTyYB9B3WXlpYSPufQT1gbMxhv+zAD1qbTf/zZx94e/pxH2/h4Z2cHDQ7oRVdiu5nX4BMwk+TgM1Y1VFZVEkLYrFixQk1CcCcBf3PCQIDBxX4c37DRYXmSfP36dbKHpcHPmTxJ5rLa2tooJjra8yGCMvgc6uIBtL+vz3OcJ+t87mZFxai4wdhGmCfJ9rIQVog/5J15subP90ySOU91TTVFRUV6tGGw47qhzRsbnI9vbAzIAAMo1wMG+IBgbU4GrE3CYCz2GegfoJbmllsmyXYGbAOnNjsDJ2s39mE27G/MAH/zOejAFwV8iUMKln3w4QbNPNGR2OfeezfTj370I3r08ceUVmbgtI/dRyX9x8lgPOzDfnAzusLjo2wD1RhM7L30H4l9UG58fLx2//E1huDL5OHDh+nsmTNk91F84UZiPuyj/BjGxUuX1CSZ7YNxC/0U13E/dWMf7ivsO8GwD9rhHEN82cfOQMc+N8rKKTYmlqqqhybkgcZ4ex+RjPG+7MP+xv3HPo6iTn/9x5ePosxA9mE/iImJpurhLyXMgH1nYGBQxf1/6sknlEy7tmDYhxmwNlTqtv/4sw+3B+Xx5zze24+rBpr/wpOANSoNWpZl/o03g+zsbGv37l1abPd8uMcqKCzQypObe8EqLy/TynPwk4NWQ12tVh7o0tW2b99eq6qyUqseiTYJgxM5J6z6+jotbRL7gAH06fiXhIHEPhIGEm3Hjh21CosKtRh409bf12sdP37cZzkS+0h8R8JA4gfeGATyIzAIdI3zfCAGH/z+A+vZZz8/qlww6OxoH3XMXu7Nm+XWL3/1K6uhvt5zzauvvardFyQMJPYJxMDeNn6vq62ttcUCg6rKCg8TLsvfq0RbIPt4q0/Sf3QZoN53d+zwyqCzs8P67W9/a+3adevnpoSBRFsw+o831kN+oPfZ6K0cc2w8564jE+Ool19++eXwnL5PHVWvvPIb2rJlC61cudJ1o3CXGD9v6yyQwz72CCmEn7DcJgT+x11incgO6ht3crKWNqwUnjVrlrqrFUxtEgb4CSwpKUk9duJWm8Q+jQ2NNHPmTGVXt/WEyj4SBhJt+CVkZnIKJWqEA/SmLTIykhYuHHrUxxtLiX0kviNhIPEDbwy8tdt+zP5Lk/24v/eBGPzXv/5r+sIXvkBr1qzxFAMGyMd3jT0nht9gfMHjAbibvGb1anW0vb1d3W1Ef3CbJAwk9gnEwJteXW3Y9AmPHS1cuFArAolEWyD7eGuPpP/oMkC92HkwM3POLZ8LR48eU48CPv7Yo7fE4ZYwkGgLRv/xxhphQdPT07QX3XsryxwbLwIj0S1MCLjxYuqnHEkIOD/FmVOGgCFgCEwIgRdffJH+7d/+TYUU0xGASfLv3t1Ba1evpvUb1utkNddOMwKVFZXqOfY/eOZpSht+9GuaITDNnXACI5NkE91iwo3hXQAe6sczWDqpqbGROjo6dLKoZ756u/VCs0GXrjZJCLiqqirS1SZhgIgg3lbn+wMpsU9FRcWoRY/+yudzEgYS+0gYSLRJQsBJtEnsI/EdCQOJH0gZsB+5fQ3E4K233rplggwGCGnmL+HOf/ZDD6qQcLiLLAkBJ2EgsU8gBt7aqasNayawQQZ+YdNJEm1u7OPUIOk/ugxQpzMEXF9vLx369FO67957fU6QJQwk2sBAN0m0Xbx4UTscoq4uc72cgJkky9kFNeely5dVJAmdSspv3hy14M5N3qvXrlF7+0iECTd5sJIb/3SSJAScRJuEQXFJCbVrfrmQ2OfKlSvaofMkDCT2kTCQaJOEgJNok9hH4jsiBgI/kDLQ6aO4Vsqgt7c3YFVYzIXdFvOu5IlCwEkYSOwjYaCrDV/Kc3JyqEUz9KREGxi4sY/dgJL+o8sA9TlDwCFKCkUQrVq9yi5n1HsJA4k2MNBNEm14DAlfHE0KTwJmkhyedjGqDAFDwBCYcgTuuftuyruar55RnnKNMw0aEwH8GnHhQi7deccdYyrHZDYExpOAmSSPJ01TliFgCBgChoBPAvMXzKcVy1dQd3cPDQ5aPq8zJ6YfAWwagtCA9kWh04+CaXG4ETCT5HCzyLAexFPEilydhJ8yE4c3F3Gbb15m5i3PGAbKC1262pYvX64iSAQq235eok3CIGP2bG0GEvvMnzeP0tLS7E0M+F7CQGIfCQOJNqzmx6pxnSTRJrGPxHckDCR+IGWgwxnXShlERUW5rmrzvZtobmYmXbt2LeCzzPZCJQwk9pEw0NUWHRNDy5YuvSVyg7293t5LtIGBjn1Qr6T/6DJAPYh2gshCiHd9raCAsrMf8tbsUcckDCTawEA3SbRhw53Y2Bjdqsz1ISJgoluEALSJbhECyKYKQ8AQmFQEdu/+gGbPnk3333/fpNJtxI4vAYSBe3/3B3TXHXf4fRZ5fGs1pRkC/giY6Bb+6JhzhoAhYAgYAkEmsGnTPYTFUZgkmTR9CezZu48sa9BMkKevC4R1y83jFmFqnsKiIsJ+8DoJP1nphmYrvX5dOwwRdOlqw1a2CPejkyTaJAwQ6gfbf+skiX32799PCPejkyQMJPaRMJBoO3vmLPEWuW45SLRJ7CPxHQkDiR9IGbhlzNdJGSCkmU7a8d5OampqpkULs+jMuXOuskoYSOwjYaCrrb2tjV57/XWqrqpy1Xa+SKINDHTtI+k/ugzQpl27d6uwmPfes4mbGPBVwkCiDQx0k0Tb8ePHCaExTQpPAu63ZgtP/ZNGVWtbm9phKSEhQS1OwKBln9DGxcWpZ7P4OPaMxzNRkRERnudYm5qaRq0Kx05WvCMfdm8qKyuj5OQUQkxSPOeFhMkf9qLnhF3vkAYHBqipuZlKSkqIBi1KmZmidsTDudaWFuqzxT1NSkykuPh4FUsYodIQ5xUpJiqKUoZ3zHLmwbNZvIsftHV1datwR1iYwdoQ9qanZyRGs5MNa0tNSw3IACGVoI0ZkIU2De3m5WTA2pjB9eEPEfBkPs72MIOx2MeyiLp7elS4H18MuH7W5o2BL23MwJt9YAN7YgY4hnPMAGG6YCOkYNino7ODYltjRzEYT/u0tbVRR0cncf+x+6ik/zgZjId92A9gR/bRYNgHDPD8N8YDfhbeFwP2He4//sYQ9h27j8bFxFJcfJzr/oOQZG3tbSqSwf6PDlBpVhalpqb6Hd/YRzMyMnyOIeNhH2ZgH0N82YcZsDa3/ae5pYWio2Oorb2d4pqaAtqH+whr82cfbwzc2of9wE3/YT9wjiFu7INxFPGb6+sb1HPJs2YPfS6hLOf4xp9zrI0ZjLd9vI3xbvuPP/vY28Of8/Z2IuzdsqXLaGYqjpoUbgTMJDlEFqmqrCJ8M81asEBNQhBE3v5NFQsLMHGyH8cdQWxfyh9wGIh7bPFIsXtVzPBEEGVhIxFMiGNioj0fIo2NjXRzeFKLpvIAikEKefr7+6mispJq6mo953A9JvWcli9bRhnx8eoY4k3ypBvbX68drt+Z586NGylueDEP6hm0BqmqunrUBB7fuuvq67maW9iwtuaW5oAMoBfamMHg4IBHm5MBa2MGXd3dauKP+MLMx9keZjAW+4ABJnFoN0+SnQy4ftbmjYEvbczAm33svgbgzADvcY4Z4EsXT5Kd2py+602bLx9lbfiS0NDQqOpgBuNpH+wGh/izX/jiF9WvHXYf9aWNGbDv2PuPk8F42If9AHbk/hMM+3C74mJjtfuPnUEg+8AP8OtAZFSk6/4zY0aC6gsY4x7OzqaDhw7R8mVLCQvaODnHN/ZR7N7HvhMM+7Af2McQX/bhfsra3PafG2VlBAbV1dXqC2OgMZ5twNr82cebj7q1D/dT2AC28dd/fI0hbuyD+NAHPj44vB21pb6kMwPn+MZ+wNqYwXjbx9sYD7u76T/+7GNvD3/Og6/9OPu8eQ1DAtaoNGhZlvk33gyys7Ot3bt3abHd8+Eeq6CwQCtPbu4Fq7y8TCvPwU8OWg11tVp5oEtX2759e62qykqteiTaJAxO5Jyw6uvrtLRJ7AMG0KfjXxIGEvtIGEi0HTt21CosKtRioKOtrq7OWrFihfV/f/pTbR+V+I6EgcQPdBiwf8FH+b3bVymDzo52rbpefe3VUX3h6LGj1s6dO63+vl6f5UgYSOwjYaCrra21xQKDqsoKn+31ZjOJNjDQtY9kfNNhcPDgQevDD/dY7+7YERIGOtqYe6j6z5Af6H02skbzGqz56sjE2ES3CMEXF0l0C9yxxF0VfpzCjczenh4V6icq2v0PBN1dXRQbG+t5NMJNPbh7gqSjrbi4mDLnZFJS8tBjIG7qkWiTMMDPeGgLPx7iRpvEPmCAO2D4SdZtkjCQ2EfCQKKtvLycEhMTKT093S0C9ZiPjn3+2/f/G/3il7+gQ4c+pWXLlrquR+I7EgYSP5DYBz6aoBkSkhn8/f/5MT377LO0YsXygPzAAD8jR0S6X+KCZ/PRD7gv4O7jzp3vq8ctnnzyCc+dYnvlEgYS+zADnXFUVxvqwE54CAOXpBHqU6JNYh/J+OaWwdWr1wg7sD737Ofp+vUbtDBrQdAZuNVm97ex9B8d38Hz6XjUUCePXad5HwwCI9EtzCQ5GHwdZUomyY4izJ+GgCHgksC1awXqJ/zvfve79Od/8ecuc5nLmEBbayutXLmKzpw9QwsWLODDQX/Fs/S/3/MhrVm1ih586MGg12cqCD0BTPLfeud3dPddd9HatWtCL8DUaAi4IjAySXb/1d9Vweai8SKAb7F8R9BtmRiAsLWnTsJdBiw+0UnQpatNp3y+VqJNwgB3GXQZSOzD7dJ5lTCQ2EfCQKJNp+18ra62VatW0h+/9BK9t3OnVn+Q+E64MgA7+KhuUpOYt9+hhx952PUEGQyswUHdqm65HhPyB7ZuoeLSUqq3rVXgC3X9APkk9pH4gUQbt0vnVaJNYh/J+BaIARbB7tr9gdrwatXK23SaPepaCYNA2kZVMPyHtP/ofgbjTrJuHm96zbHgEDCT5OBwHXOphw4f1g6VhZ/vsDhOJ504eZKam5p0sihdumG8EPaquir42iQMzufmqkgfOhAk9pGE/gqVfSQMJNoQ7qiouFgHNUm0Pf7E42RZFr3//i7XdUl8R8JA4gcSBvBR3ZSbm0v/8OMf09/+zd+6zgoG3d3drq/HhQh/5i0c4tq1awk78u3f/5FngTAXLGEgsY/ED3S1SUPASbRJ7CMZ3/wxwOM0Bw58rBaiP/rods+jBQgFqBsGT8LAnzb2L+erpP9ItO3ctYvq6kYWsDt1mL8nloCZJE8sf1O7IWAIBInAt779Lfrh//pfo8IMBqmqKVPs/o8+oi1bt9KaCfwpfM2aNeou9scfHxwVEm7KQJ6GDTly5KiKlPH8c88SQrqZZAhMFgJmkjxZLGV0GgKGgBaBu+++m1auvI1eeeU3Wvmm68Wlpdfp7bffpm988xsTjuDBBx9Q4SlPnMiZcC1GwNgIXLlyRYXY3L59m+cO8thKNLkNgdARMJPk0LGe1jWlpqZRTOxIDNTpCAMMZiQmTseme9qckpxCCfHxnr+D/eY//Mmf0JtvvhnsarTKD1c/+PKXv0Tz5y+gORkZWu2RXJyRMcdvX8BmGVu3bqEreXmUn58vqSKs80RFRREYIAbvVE7Ycjzn5Cm6//77VAQHZ1sR03mqM3C22fw9uQiY6BYhsJeJbhECyKYKQ8ALAezo+Oijj9H3v/992rbtES9XmEMg8P7O9+kb3/gG/fznP6dnPvtM2EA5duy4mig/um0bLVu+LGx0GSHuCHz00QH1HPLjjz+mNpJyl8tcZQhMNAET3WKiLTDt6sdK4em+ghcMsDJ7Oics8ApFZBRmjPi9//kv/5K+973vhY3/hZsf4IsEnt3+0z/705BNkLFwzU1fwB3I++/bTIePHlU7VbJdJ/srFrKpqAYDetGIJlO7c3JOUktrC23f9ojPCTJ2zxuYwgwmk72MVu8EzOMW3rlM+NGckyfp5s2bWjqwSUFdXZ1WnvPnz1NbS4tWHujS1Xbk6FHtFbwSbRIGeXl51KrJQGIfMMDqZ50kYSCxj4SBRNu5c+cIW/LqJIk2u31wZzQrawH94pe/8lutxHckDCR+IGXgt8HDJ//1X/+VVq1cSX/zN39DUgYIsaWTsKLfTV/AYxcbNmygB7ZsoX3791NtTY1ONSSxj4SBrn3wGIKKalCrN15LtIGBrn3s/cctcGbQ1dVFe/fto8LCQnrqyScpxs8jJfv2f0R1IWDA2ty2BdeBgW6S2AfRbhobGnSrMteHiID7rdlCJGiqVlPf0KAmlljZi38YtOpssUATZ8ygtPR0z/Gmpia1CxyeXZs3b57CUlVVpX66YkbYBz5u+PlOTIwwQe7ETn1RUaosXNfa2qr+cZ6srCz1Fnd1ES6uobGRZiQkUGJbG/E5lIO7S5zS0tLULmn41g9dNbW16hTu0mUMP79YW1tLvb29nIXmzZ3rWaQBbQjH1dDYQHFxsR5tTY2N1GGL5epkw9pSOjsDMmBtzABCWJuTAWtjBojJGhkZRa0uGLDdJPYBA7QX7YatkZwM2AaszRsDiX2cX2qYATTgHDOgiAjP6nOntvGwT29vH7W2tI5iEEz7sI/+4Ac/oB/84H/Q009/RnHHf276j5PBeNiH/QB2ZB8Nhn3goyjX3xjS19dP//iP/5c+2L1bXcv9x98Ywr5j99GKykq1cyfz8eWj3H9gF/QFOwN/41t8QjylpaXTx58cose2b6fZGbOVHYNhH2agfGR4fPNlH2ag23+qa2rVLoXo3xZRwPGN+whr82cftgFrQx1u7cPjKI9v3H/Awmkf9gOc4zEkIiKCCgoK1Vj6zDNPq18LUBYn1sZ+gHY4GTh9h/spa2MGKDNQ/2EGbuzDn3OszU3/YW3+7GNvD3/OQzsfr62rI4yLJoUnATNJDpFdrl+/TpcuX6YVK1aoSUh7R4f6m6tfMH++mjjZj2Piic7Hk2TcebHHI7130ybPJBllIzU1N6sJKU/CMKEtKiriajwTYUxoOU/J9evqPA9gxSUlajLMmTasX68myRg0OA/O4WdzHqRKSktH5ZmVnk4Jw9tjc56y8nI1yWdt5TdvqsGb6/HGBtri4+MDMrBrAwN8ALM2JwPWZmdQer3UFYOx2qe5uZnQbl8M2AZ2bU4GEvuwDZg1M8DffA4MoqKjPJPkYNmnq7uLoqNHvsgF0z7so8uXL6ev/LuveNqKdrvpP04G42Uf+AHsyD7KNhhv+6Bcf/3n4McH6ZGHH6bEpEQPm0BjCPuO3UevFRQo6czHl49y/8H27E4GgcY3+AzGv1NnTtNnnnpK1Rcs+zjHEF/2sTPQ6T+FRYVq622MiZgkBRrj7X0kkH3YBnZtbu1jH0fx+cP9B7Cd9mE/wDnmU3nxksrz4gvPU2xcnIqFjQk6J9bGfoDF3E4GTt/hfmrXFgz78Occa+N2+es/rM2ffezt4c95lG0/znzMa/gRMAv3QmATLNz79re/TZ956kmKjolRd4ixw5v9bi3u9mBQ4eMIZL5k8WJaumQJxSckKJVq5yQL9x2GEr7lR0ZFqT/wnGP+1auUmppKWQsWqLJwAoNcf9/It9SEGTPU9dghCx84CDS/euVKwrdoPodv0nhmjlNsbKy6K4xv5Rh4eSORZUuXeibpvd09NDA4snMfBpaIyKGneaDt8JGjtHr1KnWHGe1EUjsn2Xb7c7Jhbenp6QEZsDZmgMGI77I7GbA2ZnD+Qq5inZaWGpDBWOwDmyJyAAZjXwzYBqzNGwOJfWADe2IGOIZzzCBjTobyz2DZ5+y5czR79myC7zCDYNrH7qOS/uP00fGwD/vB+nXrPD4aDPugnocfeohwd8/bGNLU1Ezbt2+nt995m9auWaP6Nvcff2MI+47dR++4/XYVvYD5+PJR7j/vvb+LVq9aRevWrvEwCGQf+Ojs2bPo5MlTtHzZMtq06R51Q2DANoZw/XZtGN/sY4gvbf7GEF/24Xp0+09jYyPt3b+fHty6lTIzM73aB32Qx3juI27s442BW/swA/788dd/2A94DDl56rSa+D391FM0d95cHL5ljGdt7Ad7939Ed91xB2VmzvEwcNqHGbA2ZmAf48fDPvw5x9oC9R+39rG3hz/nkZePv/vee/Totu0eZgqc+W+CCYws3DOT5BCYQhLdAj9f8c/bbiXip0dMPBI1wozhJ7RZaekUGz80cXVTF+5uI0Gf23T61GlavnwZpc+a5TaL+nlPV5uEAX72SklO9nxYuxEosc/hw4dV2Kc1a1a7qUJdEyr7SBhItF2+dEndRccWxG6TRJvEPhLfkTCQ+IGUAd+588a6vLxc7YL2ta991XNaygBf/qKGfznyFObnDZ7DxN19/HObmEFzSwvt/+iA6rO48eDvmVeJfSQMWBt/MQ/UJjw6gOdxH9y6hTLmzAl0uee8RBsY6NpHt/9gN1VM+h964AGtKCToC/iyqPO5IGGgax8ABwN//cdjFNsbiTbsQDp/3jyaMXwDy1aceTthBMwkOaToJZPkkAo0lRkChoAhMIkI4K7iwU8OqTUYgSbKk6hZk04qfnHEZiFnz53XniBPusYawdOIwMgk2US3CFOz41ss37F1KxHfYnGHQifhLgMeldBJvEhBJw9+DsMHm06SaJMwwF0G/PSlkyT2wQrm9rZ2nWrU3fRQ2EfCQGIfSQg4iTaJfSS+I2Eg8QMpAy1n44WkgjFEt2+7DQFn129ngLvW2MENd9/2fLiX+myLhu15JPaR+IFdm71+X+/BC3df3YTBs5ch0QYGuvZx038wQcbW4adOn1ET5OSUZO1xFJ9XuiHgJAx07QPmYKCbJNpwJxkL7k0KTwJmkhyedlELIbAYQCdhEQsWN+gkLMZob2/TyaKiW+hqk4SAk2iTMMACCizW0ElYqKLL4MzZs1RSWqJTjVosEwr7SBhI7CMJASfRJrGPxHckDCR+IGWg5WxEalGpZAzBWgWd5DYEnL1MJwOEh9v2yMMqksLp02fsl3reS+wj8QOnNo8AH28QJu3AwY8JzybrJIk2MNC1j5v+gzvIWHT3uWeeUY9Y6DJAuyUh4CQMJNp4MWKw7ZOTk6Mi/ujUY64NHQEzSQ4da1OTIWAIGAKGwDgSwB3lxx97lBAB5uLFi+NYsinKH4HrpaV07vwFeiQ7m2bPCf425v60mHOGQDAJmElyMOmasg0BQ8AQMASCSgDRIZ7+zFOUm3tRbWKheyc8qOKmYOFXr16jQ4eP0BOPPaa1SG8KojBNmgYEzCQ5TI2sQrINbxTiViKiWiBcjk5KnTnTE/LLbb6E+HjCP52E1bsJCXp5JNokDBDZIkZjZT7aLbFPWurQpiw63CQMJPaRMJBoQ1zglKRkHQQqikEo7CPxHQkDiR9I7AMf1U1SBnj0QSchtJiuPn8MUNazz35eSfjgg9+r533xh8Q+Egb+tHnjglBgiDiBsGM6SaINDHTt4218w5cP7KR3+vRpeubpz9wSskyXAdq9eOFCFTow2Awk2nT9E22Q2GfGjESKjNLrPzq8zLVjI2BCwI2Nn6vcJrqFK0zmIkPAEDAExkygpLiEjhw7Rvfft5lWrlw55vJMAUSVFZX08cGDhDjqD2zdqjZCMVwMgalLwES3mLq2DdOWYUW/7kruMG2KWFZFRYX2Qh1xZWGasaW5OWxXcj/z9DOejXKCic/4Aak7vbqRXtzaZNnyZWrjJkRdOHEiRzuyg9t6xnIdNgdBVAPnJhhjKTNYeS9dukz7Dxyghx56kJ584olxnSBjV7/p/rkQLLuZcseHgLnHPz4cx72UnJMntUPQlBQXEwYdnXTu/HlqbxnaHMRtPoTG0Q2PgxX9jY16kTck2iQM8vLyqLWlxW3z1XUS+2A1uC43CQOJfSQMJNqu5OVRZVWVFmuJNol9lq9YQX/1X/5KS5uIgcAPpAy0GkNEkv4DBrphChHZQTfSiw4DPNbzxOOPUV5+PmF3v06N6DUSBjraYBOEnERUgxbNcUeiTWIf7j9FhUV0IieHsh96kBYvXuzXnXQZoLCjx45r3ziQMJBoAwPdJNH22uuvex4P0q3PXB98AtHBr8LUAAI9Pb3qroFz62Wmw9tV8paYeP5rZkoKYatWb1vKIh9v14n3uCOBnagoIkI9h+dry1/eFpS3U21ubqbW9jaKiokOuCUzYm0ilFBb21DIOAz0vMNUoG2psZt2T2+PumvA2pxb/jrZsLbo2JiADFgbMwA71sZbujJr3k51hEELpc5MVc9mMx+0zdvW3GOxDxj09w/4ZcD1j2gbso+dgS9tzMCbfZx3rJiBx3eahxig/piYGIUqGPYBU2yTjrLZD4JpH7uPBtr2+Pnnn6Nv/dm36PXX36AvfvELXhmMh33YD+zagmEffClbvGgRpaWmavcfPMfq3j7N1N7RTgmDAwHHEO4/kZFRqi/YGQSyT/Owj8J3WZvTR+32SUpMpHnz5lJdbR19sOdDenTbNkqfle7ZDpjHA96OmPtxAHjoAAAQaUlEQVSPtzHEl31G+qle/0G8cDDA54KbMZ77CGvzZx87A9SDcdStfZgBPn8Qy7qisooefGArLV26VOm04LzDydcY4sY+7AfYMt3JwDm+8ecca2MG9jF+POzDfsDawADl+trWHRhYmz/72NvDn/PIaz/OTM1r+BEwk+QQ2eRaQYEaoJcsWUJLlyyhltZWupCb66l9XmYmrV6zZtTxmxUVaoC7//771XXnL1yg7p6RjT/u2LjRs/gl59QpQkdtbGpSExCUhYQyrl+/7qnnkYcfVu97enoIeTDpzb92TS3s4HO4+6IGouFcq1etonnz5lFtXZ2K29s/vCkIBuA777xTXXU5P2/UXZH7N2/2fDCjnkFrkAqLitSgw9pKSkqoqqbGo83JhrXNSEigQAxYGzPAHRrW5mTA2kYzuOqKgd1uuvYBg/qGekK7fTFgG4zWdo3sDCT2gQ3siRng2IgfXKWevl7lnzgeDPv04sti900iy/IwCKZ97D7qpv/8l7/+K/r+y9+nwsJC+svvfpfKym6M8tHxsA/7AezIPjre9vntW2/RP/yfHwMzrVu7Rrv/YPLJPurGPhcuXlSTCebjy0e5/2CCg75gZxDIPkPjwVVa0DrPo83po1w/9x8sWMtamEVdXd20+/e/p3vuvpt6e3v8jm/exhBf9uF6WJvb/nPx8mV1EwSPXFRWVQa0D9uAtfmzj5MBtLm1D8bRnJOnqLm5iaKiomnN6lW0ZvizxGkfX2OIG/uwH8TFxqrHTuwMnL7Dn3P+xvjxsA9/zrE2Hhvj4+LGZB97e/hzHmXbj+Nvk8KUgDUqDVqWZf6NN4Ps7Gxr9+5dWmz3fLjHKigs0MqTm3vBKi8v08pz8JODVkNdrVYe6NLVtm/fXquqslKrHok2CYMTOSes+vo6LW0S+4AB9On4l4SBxD4SBhJtx44dtQqLCrUYSLRJ7MO+c/bMGeuee+6xPve5z1kd7e1+tUoYSPxAhwH0r1271vof//N/+tXuzQ+Zgbdzvo6BQWeHf07OvK++9qp2X9BhwPXZ7VNXV2u987t3rA8/3GO1tbX6ZCNhoKutrbXFAoOqygqfOrgN9leJNrf26e3ptj49/Kn16muvWW+//bZ17dpVLW26DNCud3fsCAkDiTaMIXb2bt5L7DPkB3qfjW60mGvGMpcdmRib6BYh+PIiiW6Bn3n48QO3EnF3AT/nIMC+24Sf+vAzU2RUlNss6o41Luaf5d1kvHzpEi1cuJBmpqa6uVxdI9EmYYCfvdAWHQYS+4AB2g8ObpOEAe42IenYR8JAog13aGemzKQ5mXPcIlA/S4bCPnbfwfs//4u/oJs3K+iN11+nGYkzvOqVMJD4gVv7nDt7jr78la/Q3/3oR/TIIw97Hn/wKt7LQTsDL6e9HgID/OwcoREG7vjx46of6PQFtwzsIp32wU/2WNBXUFhIa1atotVrVlNKSoo9i/olTncc1dWGXziw++S6tWu1xsRg2efG9RsqIsiC+fNpy/330+DggPbnjy4DQD975iytWLE86Awk2jDG86MroxzEzx8S++CxloSEBK3PbT8SzKlxITAS3cJMkscFqP9CJJNk/yWas4aAIRBsAvjA2/rAg/T000/Tyy9/L9jVjbn8yaZ3zA0eQwF5l6/Q0RMn1OTkc5/9LKXMHD1RHkPRkyor1pIcPHRIbS+NCfvWrVsmlX4j1hAIDoGRSbKJbhEcwmMutaGhQTtUVnt7u7rrplM5FidgIZVO6uzs1NamUz5fK9EmYYDIFnz3lesO9CqxT6AyvZ2XMJDYR8JAos1bGwMdk2iT2MfpO1gc9v/97Ge087336Be/+KVXmeHCoL6unr72tX9PS5YsVs9SQywY6CYnAzf5wQCLnYKdJH7gyz5r16+jF557lrIWLKD3d+2ia9eueeRLGEi0eSrUeCPR5ss+N27coHd37qTGpkZ6YMuWURNkSf8JZwYSbaHqP9VV1erXCw03MJeGkICZJIcQtk5Vp06fporKSp0saqFVXX29Vh4sHsQAopOgS1fb4cOHtcPTSbRhIY8ug7yrV6m1VS8MnsQ++/fvp4sXL+qgVos7Q2EfCQOJffDz6vUbN7QYSLRJ7OPNd+66+y7auet9euWVX9Nf//V/pTaHn0gYSPzAH4N//ud/oU2bNtH8BfPpt2++6Xk0BAx0kzcGgcoAAyxg00k73ttJ+flXdbKQPwa+CvJnn7T0dPVIyuMqVNxV+t277xJiAufn5wd9DMFP7EOhv/TCIY6HffCFatfu3XT8RA5tuf8++sJLL9HadWtHIZT0H4l99u7dR3WaYUslDCTaQtV/EA5RNzzqKGOZP4JKwP3Dq0GVYQqf6gTwDN7gwOBUb6ZpXwACCAPI0VECXBo2p5csXky7d39A3/nOd+j22zfS337ve/S1r311wvXhi913v/tdKioqpjd++ybdf999E67JrYDOzg7q6+t1e3lQr8vMzKTP/+HnqLi4hBA2D1+yu7t7VOQgbDM8FRKexS4tLaWCgkJ1s+LOO++gtWvXam9XPd4sOru6aCAEv0KMt25T3vQhYCbJ08fWpqWGgCEgJJCWlkq//tUv6dSZM3Th3DlhKeOX7cSJE/Sd7/w/tG3bNtq968eeu8fjV8P0K2n58mWEf1hQhwWb7/zuXVqxfLlaXJeWnjYpgeDxjMbGRnpnx3uUnJREq1aupEe3bzOLxCalNY3oiSBgJskTQd1FncuXLaP0NL2BOXPOHLUQxUXxnkuWLFpEM2Z4X7nvucjxRlcXsqemplFM7NAmFY7ifP4p0SZhkDV/vopD7FOIlxMS+3gpJuAhCQOJfSQMJNpSklMoIT4+YLvtF0i0SewTyHcQNQZ3a+13bCUM7G1z+97O4Mf/8BP60Q9/SF/80pfohz/8f30WAQa6KRADb+WBgU4kFZSRkTGHZmjepbUz8KbD2zGJfRDhAZPjnt5e2rtvv4pnu2jhQtp87ybCIxrekkSbt3ICHdOxT1FBIX169Kgq8rHt22nR4kWBivecl/QfCYNZs2YRYiXrJB0GXK5EW6j6z/q16ygpaWr8YsG8p9KriW4RAmua6BYhgGyqMASmAQEswvqzP/sWPfDAA/T1P/kP5o5gkG3e092jNkHCIjc8hrFg3jxacdsKwqRZJ9RmkGWq4rGbZUVFpVqbUlZerjZ3wQYZa9aspqny2EgoOJo6DAGikegWZpIcAn+QTJIlcXglMRqdcUTd4OBIEDp3j9Ae3vbTTR24RqJNwkAaQ1M3jjUY2LcldcNBwkBiHwkDiTY8mw4GOr4j0RbO/UfiB1IGoYjzCj/QjZOMhWsYD3h7aTd9QcJA4qO+xhBMmEtKS6m4uJjqGxooY/ZsmjMng7IWZFFq6kzPFsVu2oIJbWdHByXMSFA727nJg2uc2lpbWtXkvaysTIVxS0lJVnfB586dSxkZGapYiX0k/Udin46ODoqPjxsTAzfsJNrAIBT9B9Et0tPTtPqCmzaba8ZCYGSSbKJbjIVjEPMeOnxYOwrA1WvXqKq6WkvViZMnqbmpSSsPohPoRig4cvQo1dXpRd6QaJMwOJ+bS03NzVoMJPYBA+jTSRIGEvtIGEi04XnPG2VlOghIok1iH4nvSBhI/EDKQAs0kfJPyRiCLz86aeeuXdp9QcJAYh9ffhAXH6fuyj7zzNP04h+9QGvXrlFNPp6TQ6+98SZ98Ps9dPr0GRVOrramlvp6fS9MxAQZDOpq61xhw8I7TIixZfSnR44QokK88pvf0Pu7d1NBQYGaED/37Ofp83/4h7RhwwbPBBmFg4GufST9R2Kfffs/cs2AQfmyD5/39irRBga6SaLNRLfQpRza680zySHg3dPTTVVVI5NX3OlzThTmz5unng3GinXsUY+QSnV1deqOG1bXI2HyY48MwHlwrqi4mPBTLJ6ji4iIoAULFqg8GKxb29vUe/yHnwvx7RixdCurqtTrzYoKamxpUXcgcE1FRQV12T705mRkqF2pWBt0Ic1ISPDUg/rtibVxW1FeZVWlWk3Nu605teFZ2vT09Fu0tXZ0kC8GrA2LUxqbmrwy4HOsb/HwM5SsrbW1TS3UwUQZzyIiORmwNmYgsQ8YQCPa7YvBRNmHGQz0D/jUxgycvqNjn7a2NoqIiFTPJfvy0WDZx5ePwt72/hMbE+uTgRv72Ptpf18//cWf/7nqJ4hhjDun4JeWlka4+4f02GOPUfnNm+o9/+fsP97s48tH2T7wUbQrOjp6TP3H2U+d9kF9aHNMbKzP/sP9lPsP2om+gHzctwPZxxsDpzbuv8wAr87xzW4f6HBq8zaOOrWBwdKlSykrK0s9p1xcVEyDlkU1tbXU0tJMl6/kUXNzs7q7nJSUREmJMygmOoaSkpMpOiaayCLq7x9Qd39bbGEFe3t7qbe3jzAp7ujsJPQXfsW4HhkZSfHx8YT6/+jB59Vz3cyguqaGqKZGncMvNTy+SezjbXxzMmAfBUOck9gHn2f4HGrv7PT4ji/78Dju1j52Bt60+eo/7KNu+g8z8KeNy+O+zeMo/obtkPr6+/m0eQ0zAmaSHAKDYKDLz8/z1ISffnJycjx/482j27arSTImyHwOK5Orq2s8HyLnzp0nhE7ixHnwN+fB+6bGRtvktUj9RDiSZ5uaJKu7EsMaMOgg8QcMwiBBB6f77rtPTZLt2nAOP5nyRMdeP86xNntb8/Lz1R0NniAWFY/WdvuGDWqS7NQ2Y0aiTwas7ebNm3Tx0iWWPIqB89zcOXPUlw+7ttraGpXXFwPWZmcgsQ98ITYmxjMJczJ4dNvE2QcMOjrafWpjBmO1D57tbGtr9fiOk0Gw7OPLR2F4+zncAfTlo27s4+ynL33xC5Sbe5F+/vNfeL2jd+nSpVH1++o/Tvs4+6k3+6BdY+0/buxzVjCGoF8iPixPku02sDOw28fJwKmN+6/TR1EGn3Pah8cQe9/G9fZx1KnNm48iz7KlS2nLlqFd6xAPG+M3xldMovB4CSas9nQh13vc9IgIosjIKFXexts3ECbSPL5Z1qD6HOCFj04G3rRJ7OMc35wMeIxHe/icxD74XEAKZB/nOK5rH6c2X/3H7gdol7/+wwz8abOXh3ZyP8V72A4JoTFNCk8C5pnkENhl3/79lDE7g+66605VG3/Dt1fN30id3zr93QXiPCjH/i0f0QN48sp3Gbgu550wPo5XHqSc37Cdd1o4j70ee/04z9qcbU1JSvZMQJza+Bs23wXievwxYG38TZ7z2LU5zznvhHEevPpiwNrGwz7+GExH+zj9IFj28eWjsLv93Fjt4+tOGHwHocX4AxFflrC6H8+P2uuHHjf9x9lP2UfHu/+Mh324n/rrP74Y6NiH+6+Tgb1v+7MPJjSc7GOIU5svH7X7ji/7dLR3UGX1yCYiUZGRNHvWbFVtfWMD4XllTuwHzjHMrm262Mcfg/G0jz8fdfqOG/s4y+N+Chuz7bh/sN3N60QTGHkm2UySJ9oWpn5DwBAwBAwBQ8AQMAQMgTAhMDJJNgv3wsQkRoYhYAgYAoaAIWAIGAKGQPgQMJPk8LGFUWIIGAKGgCFgCBgChoAhECYEzCQ5TAxhZBgChoAhYAgYAoaAIWAIhA+B/x/xpPl1aSESFQAAAABJRU5ErkJggg==" alt></p>
<p>correct sketch; (accept -<em>ψ</em>)<br><em>Accept wavefunction with any amplitude. </em></p>
<p> </p>
<div class="question_part_label">c.</div>
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<p>(a) Candidates struggled with this question. Although they demonstrated some familiarity with the idea, they could not clearly describe the connection between atomic structure and the emission spectra, usually discussing electrons without photons. The arguments leading from atomic spectra to energy levels were not logically organised.</p>
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<div class="question_part_label">a.</div>
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<p> There were very few correct answers to (b).</p>
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<div class="question_part_label">b.</div>
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<p>(i) was reasonably well done by many, although many did not refer to the de Broglie hypothesis explicitly and thus relate wavelength to momentum and so to energy.</p>
<p>(ii) was poorly answered. Not many candidates understood the relation between amplitude and probability of locating the particle.</p>
<p>(iii) was well done by most.</p>
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<div class="question_part_label">c.</div>
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