{"id":4275,"date":"2019-12-01T07:11:10","date_gmt":"2019-12-01T07:11:10","guid":{"rendered":"https:\/\/iquanta.in\/blog\/?p=4275"},"modified":"2021-12-29T10:14:11","modified_gmt":"2021-12-29T04:44:11","slug":"cat-2019-quant-solution","status":"publish","type":"post","link":"https:\/\/www.iquanta.in\/blog\/cat-2019-quant-solution\/","title":{"rendered":"CAT 2019 Quant Question Paper with Solution (Slot 1)"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.iquanta.in\/blog\/cat-2019-quant-solution\/#CAT_2019_Quant_Solution\" >CAT 2019 Quant Solution<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"CAT_2019_Quant_Solution\"><\/span><strong>CAT 2019 Quant Solution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Q.1) Let x and y be positive real numbers such that<br \/>\nlog<sub>5<\/sub>\u00a0(<em>x + y)\u00a0<\/em>+ log<sub>5<\/sub>\u00a0(<em>x\u00a0<\/em>\u2212<em>\u00a0y<\/em>) =<em>\u00a0<\/em>3, and log<sub>2<\/sub>\u00a0<em>y<\/em>\u00a0\u2212 log<sub>2<\/sub>\u00a0<em>x =\u00a0<\/em>1 \u2212 log<sub>2<\/sub>\u00a03. Then xy equals<\/strong><\/p>\n<p>a)250<\/p>\n<p>b)100<\/p>\n<p>c)150<\/p>\n<p>d)25<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]c)150[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>Given<\/p>\n<p>log<sub>5<\/sub>\u00a0(<em>x + y)\u00a0<\/em>+ log<sub>5<\/sub>\u00a0(<em>x\u00a0<\/em>\u2212<em>\u00a0y<\/em>) =<em>\u00a0<\/em>3\u00a0 and<\/p>\n<p>log<sub>2<\/sub>\u00a0<em>y<\/em>\u00a0\u2212 log<sub>2<\/sub>\u00a0<em>x =\u00a0<\/em>1 \u2212 log<sub>2<\/sub>\u00a03.<\/p>\n<p>log<sub>5<\/sub>\u00a0(<em>x + y)\u00a0<\/em>+ log<sub>5<\/sub>\u00a0(<em>x\u00a0<\/em>\u2212<em>\u00a0y<\/em>) = log<sub>5<\/sub>\u00a0(x^2-y^2) =<em>\u00a0<\/em>3<\/p>\n<p>=&gt;x^2-y^2=5^3\u2026..eq1<\/p>\n<p>log<sub>2<\/sub>\u00a0<em>y<\/em>\u00a0\u2212 log<sub>2<\/sub>\u00a0<em>x =\u00a0<\/em>1 \u2212 log<sub>2<\/sub>\u00a03<\/p>\n<p>log<sub>2<\/sub>\u00a0(<em>y\/x) = <\/em>log<sub>2<\/sub>\u00a02 \u2212 log<sub>2<\/sub>\u00a03<\/p>\n<p>log<sub>2<\/sub>\u00a0(<em>y\/x) = <\/em>log<sub>2<\/sub>\u00a02\/3<\/p>\n<p>y\/x=2\/3<\/p>\n<p>x=3y\/2\u2026..putting this in eq1<\/p>\n<p>9y^2\/4-y^2=125<\/p>\n<p>5y^2\/4=125<\/p>\n<p>y^2=100<\/p>\n<p>y=10<\/p>\n<p>x=15<\/p>\n<p>xy=150<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><a href=\"https:\/\/www.iquanta.in\/\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-7740 \" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"629\" height=\"119\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 629px) 100vw, 629px\" \/><\/a><\/p>\n<p><strong>Q.2) In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is<\/strong><\/p>\n<p>a)20%<\/p>\n<p>b)30%<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)20%[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>G girls<\/p>\n<p>B boys<\/p>\n<p>Let G=60x<\/p>\n<p>B=40x<\/p>\n<p>40x+30=60x<\/p>\n<p>X=1.5<\/p>\n<p>So, G=90<\/p>\n<p>B=60<\/p>\n<p>Total passed=150*68\/100=102<\/p>\n<p>Among 102 passed students, 30 are passed boys<\/p>\n<p>So girls passed=102-30=72<\/p>\n<p>So girls failed=total girls-girls passed=90-72=18<\/p>\n<p>So % of girls failed=(18\/90)*100=20%<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.3) A person invested a total amount of Rs 15 lakh. A part of it was invested in a fixed deposit earning 6% annual interest, and the remaining amount was invested in two other deposits in the ratio 2 : 1, earning annual interest at the rates of 4% and 3%, respectively. If the total annual interest income is Rs 76000 then the amount (in Rs lakh) invested in the fixed deposit was<\/strong><\/p>\n<p>a)9 lakh<\/p>\n<p>b)8 lakh<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)9 lakh[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>Total =15 lakh<\/p>\n<p>Let the amount invested in fixed deposit be = x at 6% SI<\/p>\n<p>Remaining amount= 15-x \u2026.which was invested in 2:1 at rates 4% and 3% per annum.<\/p>\n<p>So amount invested at 4% pa=2\/3(15-x)<\/p>\n<p>Amount invested at 3% pa=1\/3(15-x)<\/p>\n<p>Total interest after 1 year=76000<\/p>\n<p>So, (x*6*1)\/100 + [2\/3(15-x)*4*1]\/100 + [1\/3(15-x)*3*1]\/100 = 76000<\/p>\n<p>X=9 lakh<\/p>\n<p>So 9 lakh will be the answer.<strong>\u00a0<\/strong><\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.4) Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days?<\/strong><\/p>\n<p>a)13<\/p>\n<p>b)23<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)13 lakh[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>X denotes men<\/p>\n<p>M denotes machines.<\/p>\n<p>Work be W<\/p>\n<p>(3X+8M)*t\/2=W<\/p>\n<p>(8X+3M)*t=W<\/p>\n<p>Dividing both equations<\/p>\n<p>(3X+8M)\/(8X+3M)=2<\/p>\n<p>3X+8M=16X+6M<\/p>\n<p>13X=2M<\/p>\n<p>Also given<\/p>\n<p>2M*13=W<\/p>\n<p>So, W=26M<\/p>\n<p>Let K men finish Work W in 13 days<\/p>\n<p>So, W\/(K*X)=13\u2026<\/p>\n<p>26M\/(K*2M\/13)=13<\/p>\n<p>K=13 [\/bg_collapse]<\/p>\n<p><strong>Q.5) The income of Amala is 20% more than that of Bimala and 20% less than that of Kamala. If Kamala&#8217;s income goes down by 4% and Bimala&#8217;s goes up by 10%, then the percentage by which Kamala&#8217;s income would exceed Bimala&#8217;s is nearest to<\/strong><\/p>\n<p>a)31%<\/p>\n<p>b)24%<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)31%[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>A=1.2B<\/p>\n<p>A=0.8K<\/p>\n<p>If K now becomes 0.96K and B now becomes 1.1B<\/p>\n<p>Since B and K have a relation with A so, let us equate them<\/p>\n<p>1.2B=0.8K<\/p>\n<p>K=1.5B<\/p>\n<p>So (New K -New B)\/New B= ?<\/p>\n<p>(0.96K-1.1B)\/1.1B=[(1.44B-1.1B)\/1.1B] * 100 = 0.34B\/1.1B * 100=30.9 %<\/p>\n<p>Which is close to 31% [\/bg_collapse]<\/p>\n<p><strong>Q.6) Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is<\/strong><\/p>\n<p>a)2\/3<\/p>\n<p>b)2\/4<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)2\/3[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<img decoding=\"async\" class=\"alignnone size-full wp-image-4279\" src=\"https:\/\/iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-11.45.11-AM.png\" alt=\"\" width=\"610\" height=\"470\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-11.45.11-AM.png 610w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-11.45.11-AM-300x231.png 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-11.45.11-AM-545x420.png 545w\" sizes=\"(max-width: 610px) 100vw, 610px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>We can see that the equilateral triangle is made up of 9 equal triangles<\/p>\n<p>Hexagon is made up of 6 equal triangles of same size<\/p>\n<p>So ratio of areas = 6\/9=2\/3<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>Q.7) At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?<\/strong><\/p>\n<p>a)8<\/p>\n<p>b)6<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)8[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>Let W be the work and a,b be the efficiencies of a and b<\/p>\n<p>12(a+b)=W\u2026..eq1<\/p>\n<p>If A works at a\/2 and b work at 3b per day.<\/p>\n<p>Then 9(a\/2+3b)=W\u2026..eq2<\/p>\n<p>Equating \u00a0equations 1 and 2<\/p>\n<p>12a+12b=9a\/2+27b<\/p>\n<p>15a\/2=15b<\/p>\n<p>a=2b<\/p>\n<p>so we need W\/a<\/p>\n<p>putting a=2b in eq1<\/p>\n<p>W\/a=8<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.8)\u00a0<img decoding=\"async\" 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\/><\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)<img decoding=\"async\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIQAAABHCAYAAADGOO+9AAAS7klEQVR4Ae3dV4glRRsG4N5V\/zXnnHPOOSuYxRxREBFUDFeKXgiC4IXghRfeKCYUUVRExYA555xzzjmndQ3rz1PMO1vnODuzZ2Z2dvfs+aCnqit8qd76qrpPd8+4SRMn\/tv0qOeBPg+M73mi54HaAz1A1N7o5Zs5230wbty49qJZ\/nzyv\/827GLZv3352ihlKLaX8772dbvZId8CCA6Za8KErrN70qRJzfg55mjGjx\/fTJ48uZlzzilmG\/y\/\/\/67maOvnvH\/\/PNPAYf2sxtN8UyXWg4Ac801V\/PXX38VCwHgtddea95\/\/\/1mwoQJzSabbNIsuOCCzUcffVTKNdpoo42aFVZYoUs9MrhZswUgzHQHUADDww8\/3Dz99NPN559\/3px00knNaqut1rzwwgvNY489VuoPOOCA5sQTT2wWW2yxwb3XhbVdHxMtD6KCJWHixInNZ5991my11VbNEUcc0fzwww\/NzTff3Dz11FPNeuut15xzzjnNsssu29x+++3N119\/3YXDPbRJXQ8IS4Y9gXThhRdu9ttvv2abbbZp7Cu+++675qeffmq23Xbbcvzvf\/8ry8gCCyzQss8Y2o3d06LrAVGuGPquICwbNs5\/\/PFHiRQ2kxtvvHGz9tprl\/J33nmngMQSAhSzI3U9IAxqueQcN65ECueWivfee69ZffXVm7322quZd955y7Ly0ksvlXKAWGSRRWZHPPz3PkQ3esH+AeU+A0C8+OKLzfLLL99suummBSg2nE888UTz559\/FqC4AhmIEnFqfgO1m1XLuj5CAEMiRAbT3uGbb75pVllllWa++eYr9UDyySeflMvNZZZZpgDDPsP+o6aAqi7rpnzXA8JgBQjyNpcff\/xxYwO5xhprlLFUpo3DxvPXX39tbrzxxrLPSHk96AFYXdYt+a4HRGa4gRUtfv\/998bmcckll2zWXXfdEgGUzz\/\/\/M36669f9hCXXHJJufoQPbIRNeABh7RbaVz98zfkd9uta4OXCGDg7RFsKH\/++edydeEuJQIcS4a6eeaZp1lrrbXKjalujgYDgbrrAcFogHAARMBh5rdTXQYgiQ6JCN2+f+CP\/3ql3Uuz+HnAYHAzsPLK3YeQz3m9vCgL1VEiPFLXbekUq7vNsj57DGAG13KRvMFPxNBUHmkPLMnXAEhdXVYadtGfAZeMGJywyd6Ey6Szog8MdADBRrYkZU\/ySQeycbC6gdrPamUtEcLeGQgcDHcIqxynLDNnVjMy+gYMzgPspFMrS9+kdfuUdVPaCoi+cBnHCaPymRXd7oxuGtjh2tLyPMT4cePKWlpHBiDIeX5KHq6wXr8Z64FpmdAtgDDwlgZPGCHnedwsm64Za1JP+vT2QAsgIMjAA4L0zTffbB544IGSz9IxvRXq8Z9+Hth8883LI4ODSWgBhIYJK0DhB59XX3217CNSPhizXt3M6QFjafxWXHHFIRUc8LJTrzAZkkOvwSznAWNra2AVABRXj1LHfyJErFPZCUUI5hGER4DVKb9adi6DLVvy4ZWUvLEmdjlyKU632rHRbaz1Gkpe7T95RO\/sG6cKiKEYt9dzgCMAiLAMlvLhUkCmfxyNn0GYUUQnOuSgC1tjZ3wxo\/QbSG7GyMNAdK1BTG\/1owaIOMZVCUG1Y+pBHEjRocrwCw8pY9wwIyOAG4rH9KrPzAp\/+gELis6pmxlSusWHGaMaGKMGCMaGMQRyFOEJUZQYiYNiCH4MiSz5kfAd7iABIjuvuuqq5p577ils6ITURc\/h8h\/tfvzEh0cffXSzyy679N+BrkHBj6MGiAgUIQhGHBQnjcRADvaktBQ\/zk5+RgGCPT\/++GN5NtMzFTvvvHPRK\/qNht0j8dlAfflq1VVX7a8qAOgbr0y4UQME5l6E8Z5DDYrMFg4a7kymbB5k8ehb7ewgvN\/KMcy8++67Bfye3N57773HUPLwRfGXyMaHDufSUQcExg899FBz9tlnl5dggAIYgMBBoJk9HMLr\/PPPb7bccst+I7IsDRdkw9Gjvc8bb7xRHJpZx77YG734Rb5O2\/mM1Xl04k\/60DdgMFao4wjR\/lCJc7NW+Hz22WfLQ6pbbLFFs+GGG5Z3JuMkgAhRBlGQQkORdh5pS1vnjIqB+OVX2bRJOhTvwerx5KgMJnnRnT0ixNxzz90svfTS\/eVpmxnnPGXJkzka+g2m+9Tq2FD7Lecp6xgQEcQ4RmWX7XlEb1CfcMIJzQ477FAeb\/cCDOKcOABAaieHX6dp+OHtCOrx8SCMpctDsh6eHS6REUeRUevNVndyRS3LmYiFspl2TieUvvI1z1I5A\/\/EtqRFv0714RRGBe1SA2C2AIXIsOiii5Z3JDnFoQ2nmHFImU2ifsrUD5fo4kAMk6fHbbfdVh6YHS5f\/cK3nQd9yRAZ11xzzdKObL5BiSwBAmDIxw\/t\/Gam86Hj9VS0jbPM+N9++6358MMPS+j0kgvn1IPMGdpxDKfJC7XObUTrtlMRN2gxeXG4hn6Uu\/baa5u33npr0H7TUokvio5kIZ8VAGiv\/alTHrtFibosvlLP\/vAsjGayP8NeMhjFQIP67bffNm+\/\/XZ5qzoDLgp4nN3gI+9D5BX7xRdfvJQDUpaV4fqF4x3kSpEBADQDNhIKPzwy2PK\/\/PJLeYnH9yPYwlb1Dn6hi+hh2WIjPt4D0c7j\/14kDkhGot\/06NsRIAICBsZwTsj+4ZhjjikAYWwMtjQ8\/\/zzzeOPP14cZk13AAKw7LPPPiNa58lHeNELQL2XKa0HtFPnxcYMNHuUOf\/000\/LldR2223XDwTy4h9AePnll8t3J7QHEPsZ9QsttFBz+OGHd6rOmLXvCBDRimMYyVgz0ZdYzBQf3VBmDZWaEe7iXXjhhQUABx10UBm4Sy+9tPQ57LDDRuX6PU6v9ZOn40gJ7wABL+c+OmLm2z8Y5Gwk5dl8ww03NBdffHFZTvbcc88Cnssuu6zYbNLgMbPSfwDB+FC74mYJo7UxIzlCCDRjgMG+IIOg73PPPddccMEFJQKce+65xYHCrYgCJCuttFIJreTVTo8O0kSa9nr8vYz7\/ffflxBet7OfsUR9+eWX5cqn3ri6IgDetG+XzS681bOFvSi+sAyxF9FfO7rFH88880zjVUB7qTPPPLO8SW7SuCy\/\/PLLSx888YudtS741rbmXFnapV90KsoM8qed3yBNW+9DgILOOYRBTv\/qq6\/KJsrndgw8R3EyUvfKK6+Ue+QUNEMAxYDY2HnL+rjjjitg0B5vs8vAeJfSWpvyOL82nKOdq0u5Mrrh45sO5CO86OWhHm94uy9CV8uWvvTycRCXxZYs+uKF1GeQ6Ihyri4+sV8CNB8ls\/TRK2AwOa6++upi+6mnnloiBD35BCCAxE2s8I9tzvFxZEIpIx9pl\/Ok6auNfkhKXvROmvrYWBpP5U9LhKgDmc7egr733nvLeugupK+tnHLKKc1yyy1X1mnKuR4neJ111ulXhLKvv\/562TsIqxtssEG\/eADzbYYllliifM8JD0QexX0dzgfAgMXgxZh+Bn2gcm7TysHWZzPXOX6RoW6zzTYrA8LR6kSH5MMzTiUrA6LOeQ0GdaKDgd96663Tvd9ukQkY2etGGgAiYLCnINtVCT7hnUGjW3yhT\/LqHfGPcn2l+PC1SRBZ6euFZhv9lVdeubzUnD54DUYtgPCBz8l9M1xHjnVwNIW8Ir\/rrruWy0tIFAq9HEuo1+i1oSQFXVE4dtxxx\/5HtxjxxRdflLV0++237\/9sj3Jtn3zyyebOO+8sm7EzzjijACLK14Zo77B5NOhZy7VxWJbsXYCUnBC9OKbdeakPXzaElOkT4mR7JgOOIlMeIEQjnzUEUn2R9qLYwQcfXL5Mgx9f1aQs0VJ5dFHu4G+EFz+ZLKI1ir7aAB\/b3YfhazcKtY0upcMgf1oAoR0DKQt5wvqhhx5aZpjLptNPP7180s9XV5ZaaqkyUyDfDztAgwimGCNEGJ\/mEZ6dU\/bKK68s5e7wKWeM0O+eQS5LDRwd8NKvdh794gDlzrWvdU85G5BUGb3CUxk++iuTGhBgMrCcDswAF3kmgKXITLdk0E2\/yHZ1QY4rCbLkRZTrr7++LCO+iRkw8sV9991X9ll+KRURRWH+9N2K\/fffv9zgC+\/I8m2Lm266qVyp+JwB3VLH3\/Ywlms6uB8Tomd0TdlAaQsgmMaIDAIGcaRLLKHw\/vvvLz\/17r777sVYg8lpHBAnE6Qf44VXTnZ+xx13FNTafIoqcTDlOdhMByA\/GtEhA4UfXXKeAXKeuhgrtXzQJWWlUd8fZQ76hPDDy\/Lnk4Rms29WfvDBB429AAAgA24gDQQb6MjukEmBN5vJt3\/yTUx7DnbZgwEU2W5smcHu8GaPJqrok+XZhKRbZERewBY\/mBDkOveZJMuZJdnSq0\/sSz76DpROsaavNg7joNrhBAm\/V1xxRfPII4+Ux7lt6AykH3eQvhyhn8\/1cNyjjz5a9hzqLD\/K7C98G9Ih9Pr52BPBkW0TJs9xjMAvdcnHmJyrD8VBmY3qtEtbPJVJAwx9OBpQlfmw6XXXXdcccsgh\/d+JAAaDy+HRh7346MsGG00zXwRVx2YTyQZXOZ8J4eTYZFoC7r777sYj8iYZnfmXD6KzZYgMA4snUg\/4aUMfIMWb\/tppQ6\/0lQ5FLYDANGhKxyhA2FFHHVUQb43ad999y6aRsWY4isPlzfbTTjutefDBB\/tnFaPNEO0MgNBoo+qcHCGbAYjy0SeGOE95aVRFDuUZXBHL9b\/LwlB7X20dkc1uy+Iee+xRIpdQ7yd376XQ091Fs1m08\/U67SMTbwdfWFZFUcBx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\/>[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>&nbsp;<\/p>\n<p>Solution:\u00a0<img decoding=\"async\" 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4XLgJGPQamphNjcpCBRyGFj6JOqXfAT61InQVg\/AXfYyjN0JK0tso9ZABwoPPYPk978PDBQBJwK\/mSEkgO84KK94CfExTci+uRpNX\/gCeq64AomVq6FPnrgV1m2zjgc\/yXhFpkxB3ee\/BL1tEvQpU5BMJZC97WZY9z2A0th6eKvXoXbPvWAdezTqWpvRfeWNiN99N4r0vj7xZBhzdlFq9mAOZS6FN3HF5mrOmQ89dQeip52JxJLTkf36N+Alk8IS6SSmsSRihx0pPaJ2gTwf4xspIMqq8DxEjz8eLa1jkH3mOZS7u1CfjL5npnlkiFRLtxUCg9h0W994l88JGRTq5cIc04qIrcFduRrmLOXxpnV2oO7W26Fd90cMtNYAM2ah+X\/+E\/qkNgkYNnQT6OpAcf1GxKZNBuIpIU4kj5HVHYhMbxNO3u\/cBO\/xBxE57RTZREJoGXJQKgL1gV0m3F6uC1+QDx06lJFfDU\/ZoGh+Mq0IkpkkyqveQGTePEEksboxwg1zOHp\/LwauvALF1WsQX3ww0scdK6qhSH09xh5\/rKhm6Higuy68\/jyKTz4Bo68P1qEHQqtvlua0fA5Oe7uKNYuRH1a2NnWTG0gxAcbCPVD3+YtQXvk6\/FIeGhEe1ZCOA7+nF16tQoC+bsJ+dTmKv7gU6bHT4H\/yY2KLdZ57CfZry2HssRsibVNFMiN8xOYZmNjYJjeuu3olur\/3LSTGtSG+eBG0VA2M2+6H+8T90FMZ+F0d6P79VUgefijcBx5C3yNLkfj3r8OJmDA3tiP3pa\/AbG2B0dsH+6EWRNumw1\/2d\/T923\/Bdwbgdfag5ssXwjz5RPT94qfA0y\/DP2IR6s79MAo\/+jlyUybAnDwB+acfR2bJEhQeWypxYdqSJUAkiho3guznv4i6X18Mu6YB\/sWXQNci8J96FP2\/uxp1F30GRtsMZM86C6hrgfaZTyF5yKFI77E3Bm68EdEJ4+FmamD6PnLX\/BjJgw6Btt8+aB7fgp7fXgYcfgSM+lo0nHAc+v70V9SdeDz0efPhci5FR0BIkXSErIrM1uAfiZ\/VEdl7T2TvvBeN++4Dp7+A3O13wD\/8EKQ+fDaMOXNRXPoYimMakKivFUmcmFOcQAZrqlxxvcX22ROF2+9A7jv\/BUwcg9JLr6H+2t+j43eXQVvbgd5CD+o+82kUL70MxsvLoLe0IHvTTYi3tKB8020wPn0u9EQ64Ioq3FGlDV5wSRExuOMnw84VgY3robVNUxoDrpe6NAbufwARuwS9tweF515AfN5MxGbPgl3IoThrPFIxSyBDNbn\/+uvwf3ErUp8\/A9Hd94DTvhHGgtkwU2oPY\/VqlB54GO7UNtQcezTMSZOQmD8X\/Y89gtrJ9PilboTrlM403KukoCP3XfqfrIF16EHCCBPvxA89BPED9kN5xSoY61cjetDhiM2aJQyFMX93NH97FryuTiS592rrxJ4rU1uBSuBRS8egQhHdP\/uVMAKJcz8Gf80qRKjyr6sXAipKKE4UMYWmTAGKrVHMkdyilouamoV7o37h3pVWhGrK4AaLqlc7DwI7jRiq3ackQ82KoPGcDwOZWhkpl7q3YgXcJx5B6txPw1\/fjsi++wWE0BU1mrd0KbJ\/\/DP8mIEBK4ba888FUhmU\/no3tOv\/BBwwHz3rV0Fb1QVtYy9iu+8latXC3fcg99gDMDe0I3HIITAOXAQ9U4O+W29FccVy1B77AVh77CnozVm2DPYbr8JobIExfz5ApxkSW83EwKZ20C\/O7mpHdMF8aIEjSvcfboVhWWj++CdQcihVAX4hj77f\/Ra1J50MWBb8UgGdP\/sp8MYqePOmActWoDYWQ+T4Y1F+9ilk\/3Q7rFwJWkszEp\/6JLREApbaQRWCHy4JOsPwPyFJZlWIPVWVtiNps9hn2D4KS59C\/KD9UeoaQJxefq8tx6Yffg9WWxv8V19H89e\/LDZOiJ1NbVyqJHWiMM9D\/xW\/R3z6XCS+cNEgXpg6DUZPDrHJU+A88yxSE8bA0QHHtRGdMAlUp7Lb9Hw1br0Pyd\/9GHYqAa+9B15fNzp+9D+oP+MYmCeegOLNt2Lg3ntQ+4HjUWsl0b9sLWovPxv+urUoLluO+os+Cb9tOpznXxTJJN\/Vg8iMaUKonaYmRE8\/Gf0rlsPYfW\/Y99wFu5HEREP2jruROeFEGHvuJSBLTJ8pairOY3SX2UA2C8crA04RPmrg5HrhvbEKkQ+dIc9ryaTYEWF78GKAXnbg5wvwG5vkPgmhsoMGExROzGbfJJlU11uL9ke0vQsdl14C3TQQO3Q\/JA46LHC8AaJ\/ewkuCY1mwaQIwfeE92GPh7fBX15NLWq\/9kX033kvbM9B7YWfACZOQeOkccjd+zDq5x8Ba7c94W7ciM7\/\/CGMugZEDtsL8fPPR\/ZXvwL+cAsyZ5wuNlDF8rEVxWwNDoGrC9CbGlFzxmnwDDJo9OZVpq\/4AQfAyRXQu\/JNxNM1yJxwvNj6bF2DkUyi6Zf\/DWP8eFmftDiUfB3xX3wL0dOOh2cYMJvHoen882WcbNmrq4Vx\/HGIT2tD9Oij4Lsu8pRiS2UhKvSapulEvC0DU4QCjSIwg\/1WcxNCTfZGeDMaQ2TOTPkfFvFbnk0loKcCh6oR2BuOgcpao1RG16U\/h5GII33eefAME9r6jbBiMWhkEMnGho0HUqW0MAS8gz0eUhh2aDPNV1hc\/d45ENiJxJArL3AmoVG9dZKMkAucGUGMyeOR\/fCH4H3\/G4gyDdRvr0DjscdAS8bht7ej58b\/Rf1558OaNAmdp58Nfb994M6bjYEnHkNifByxT56D2PQ5cF99Fb2X\/kZy\/uWefBz9992L+k+cD+3pp9Dznf+BefhT8DMp6OOmIrX4YPRdegmamsaguHoVem6\/GbXTZiF79U2o+9LnYe6+u0h5uY4uZPbfW4hE32VXIfnBUxCbOlXUWfn2DahbdAC0GdPBSDEiQD8eh+m7Ivl6rROgux7cx55Hw6mnwlxyCgqX\/hpmbw\/s5cvQfdMtqF9yGiJWAv3XXxP6QSqzHpFPZXNttiCYQkpsmz5gmYiMGwN\/9WpgznT4q99EybcRPfhQFK+6Bgl6vEViiGfSSE5pQz+xGm1y8mWAdg4JWmBQMRFjIY\/Siy+j\/pNnKwLrubBfexX5F19E6mNLgEwamhmB3dmH5LzdYR13AkhEiMrlYzsoT58E\/ZD94T36uHjjld5YLSo364zTpe34IQci9\/KLYNLLciSJyIdOAlIJFJ95CkbBhTF3Puy+rMK+9L3RPNi9A1I9+erciy8IcdNiMeiPPwFzD3ozQhIfDzz3DGoWzkVpxQoUnn4BlqEhUyjDj0dEnW5Y7CtzgRAKBvxcP\/zuDiBZi+4rrwLapsNLJWHQJhyJojymCU5\/UUiGsHNCp7Y2MdINca6xNRemHkFmyalI5Y4SBgqxOFxyTLoBzS4jt3wZ0id9UL0UEL9hSDy4wy+ZNv4ZMw6Zj36kcsf2PZgTJiF19iTFJPku4qefAX2fPWEacRitdArS0fDtbwNFGy4dU6S2rY1BOZpQjZo+5DCRVEHPR5F9AC1Zg9qTPwjFyqpu0PmDUjbtu9bcBWJfZBu0XsSmTYU2jZIlUQC1MSqrFFcb3\/PqMqj\/3GflPuErAevJNGoO3V+IkN+fRf\/fX0dq\/jwJ9xCiUxn9zrhgBiYX2csvEw1L7fkfF0LI9V5ctRpGfQ1gqrRqgdFnZ3Sq2sZ2hsBOI4bE28Iti1OkRGDB8jzhDoVb6reRnDBVpDYsmEWWHO7aNTBmzkT5leXQZs2CNXsWvM5OeBtWQ9c1aA3NqLvoC+j7928iPm4C\/EwabkSDV7YB20HpsceQOeE4sT\/l166Be+qJMB9\/CvHDDkL842fL1i7f+Af4q1aj\/+H70fLRs6HPmQ+vvRulhx6ERWKYz6GvkEOmWbmla0QKzBhBdGJoaD54Ebpu+SO8lasQ328\/GJMmS0yV2TYXuXXrQVcIf80G2Akd2mEHy4a3LcCIx1Fc+jSS48bBmDQJpUceAcpFiUOTuok4hNhtBWEFxYJgaKXcbVfY+RKiTc1giErUSiK6+GDkn\/8ber\/1Q8QX7QVz3QYMXHoeot\/4Kgp\/vh0+1VwN42Dttxd8QwViS7WJJNIfPhPrL78K5iOPgWpXAw4yF56HTcv+jsb162Dtviuca65D+Z774M5qg9c1AH+XNiQX7A4\/k4TxmfOBcbTZdKJj5d0YP6EVuboG5P\/re9CpArvnEUT3Wyj21K6uDtQsOkCWdmTeXOSOPQiIWvDNGLyxEwHdRGLBXLg94+UZ9rHMmMnDDxWkXjQspKbsIvfqP3o2srfcjJ5rroeezqDukp\/ANXRx+hSsHonDOvJoIJmW5\/1UAtEjD0XHz38DP12H1KzJyJyxRMVRUuI2LTR99Ssw0imRxWWtDrL\/UsdIf0SSUOyGcmBKpmXuJfRQVzGT1BQUuvJIz9pF\/FeNIPREIfutzDtroSpVYj\/peCYJvqC5PjxqAIIMKFTNW5OmKr9Ykdg9gE5BKbI9atUQHqIi32IAlBU5Unr4MqSAJMpUHsLMd0qPR1YhspAHkkmx55NBo5OW78hvajJ97tMgUbyE1oj0QzKi+q5kUOGJGPeitB2JJGpOPFk909GOvt9cAWPaVHh77DYowwZD2KLrO6JAAwr33AdnzTo0fu2rcCIRGAxh0kwUOzcg0jZFWjW8QIW7tanbEX2r1rndILDTiCE3BjeALtZk5bUs9gTubZq9XlsOna77pgFEahGtGYNybxeYpMrwHNgb1wGdHUB7l6jjci88B3P2DETjGRQtR0IOdKbXMuJwJk6WbA5+Vw8s0wJ6elB+7llY45uRnzYZdaecqtBBqYQyOfW4Aa9YFFsYpSJzI7m92fKMwaDdRAReU72kSkqeeQasxgaFkDwfkdnzUZ+Ow79vKXq\/8S3U\/vQH8OuaEdlzV2jZHqnDdR3E99gTWoYht4BBV+9IBKlMHbpvvBmdl16G6OpVaEwr13WRsIJA9xGUKVIHwzmINIkTiFD0A\/eVQGc9mcbYn\/8ciKZgRy3UnH82Sr+\/Bs7TzyJ6yklIXnQRnL5+OBvb4UU0ifVSM8MJkhB0qTF64vFo3nVXOOvXwUskEJs+CWa6HvXPPyeqYDuZRP1XvoTSvXfDe\/11aHW1iCQTgvj8sc2ou+CTwvxEdluIpjHNQF0t6r\/6ryheey1KDz+JzMGLYB1zFGzfR+2nz4NOr09KTLPmIvP1L8M1TOj1daj7xHlwIzEkd6cqm0nG1ajrTjpRPIzpsJQ87TR4rWOl99qYcaj91L8Ats2YAklMwEVOKUTUXZEo0gcfKDAjUbE1HfEzlkDbYzex2UWnzZCnSSiUVK7DGNsqZWoJbxumIyTJMXF+xLdLbF30PtYkzyVdjQbuvh2JKa2SfYQqy7cjtGyZdFhBIJyvgGmSjE6U9gMGM4j\/tIT6cp0EnWE7QnTV+7KYtvgTriqVKlEIV9A\/9l+spENiRKXfTM4gY+a4Jap4SHiOWsXSB1lsDH8Jf7E+elmqcYnnt6Qr0OD\/\/RV0\/v5y1Oy5L+LHHydwk7Uu\/a2Q9C16v70KRC3LMKNyGQN33Ina004GEkpjILZiz4Hx2mqYpyyUJiUIaOumzO3VrWo9OwgCO40Yhv2vcKIiKXJDKi6x3L4G2Qcewdj+LPTaJmDSJPiG8k6M7LcP0qtfR++PLxaElfzcp1DI9gGvr0R0732RPO0MeKm0SGuRqZPR9C8fF5VYevFiyclpxCwhPvUnnoSeMa1AQ52y2RgmkiedAG32LKTWrceqX\/wKiXQGFg\/cbGoQqc7LZhGfNAFafb1s7sjENiE6yqTvof+++1H++98QLfuCsLVoSpCC1tICs2WMOKkYM6ehYcaF8IhdPR+JBXuIUwBPgWj87KfQWHBQeGIp8i8+J6onoiJFlgIERjBt\/gnKiOCZ8caMZ0QKYLie0TxGLDzCqdY2In7hZ+Vt1ssPbZ\/8z4+UBWGBShKlZlKFkkfaJoP\/+Qm94iILdlNqM6q6p0xA4mPnyv2wLpXKK8gJwzmORRCZMlXGrY0di8RFF9E1Q3m3Mqk01WtNY1RH2Bmm0WL\/GYphAPoY3mPcoULJKqhfxW2xly49X+fOFnuSRGpI4L0OzVJrh0wDbZhE4jJYTZ3iIHATa5nCXrHpivnhciTBIWniygxhwVMFlDel4O3KmLd+ERKfoFnOlxQpmdFbsxYDz\/wNjf\/2ZWEGqSJRDCMfC2dqaxNPqUrVp2k8HUG9Kye8yHDobBKE0pB0MUxGjUZCXsLaVbYgAnbzdlRnGfbE91yaMaRzmsRGkrTxp2RnUnlvBAzs9yCJU7GlHC3DelQLQdxpwNCo8\/t4P+CImaVGiKwGY2AAnVddg8bjToHFwHWuFUEV7K8gjxH6vfXZeC93vEIRfjYLo7YpwFY8ocKE+8IyOP051M1VToB6aAYKRvte2qy+u\/MhoPnC\/uz8hqVFn2iRahcN2qo1oANL5OBF8KJxeJs2AdEozJoaWfv09nR6+qFZukhw3FzcIGLlEk5UFSjnBm5h5fXn9vbAKZcQrWkELCIGbk2VqUSEVEMXSUdzXJT+\/ndxaY9MnYByvgCzrgV+fgB6thdE5EQaRAKysWVjeiJRur05KbNaGiSbvXRsCEgFmfC3xNoBtmSscWB6phBI1td7\/fVw40k0nHD8kDe37fKtplDx6yH6G7m+EGYj3R2pbpaN9M5IZaxzpDqGtiVzGRSEdYTvhL+HPj\/0ms8Nffbtnh\/6bnjN99\/Ne+H77+SbM8H\/xSuvgN3RhZovXqSOA6o6TwwDY98jj6D0\/Ato+pcLVIo3GMNijIc9vAN\/yM5xXfR+7guI774Q0XPOUq2VSsh+6cuIHLQYiZNPDtYgpW6yCoIhdmCvqlXvCAjsdMlw2CAkjyX9Fz34kyaJ7UzUIFyBzU3KbiHqF0omhqjauMyEMZQLSlBKBSPLT\/KSKnTDAHJeMXNNKAUJAypLVXGoXLfKZUSXmL1Y4KXJxRyJZZRUR+\/CZEoWOxFmZZnLhQEjnoQeT1aGFfajUkA1mfRE2XOoBmKGGkkjJvWRl9agdXQiubdyKhr67rZcs19vhdCH9Hpbqhv2zEhEIix7qzaHVhI+P7QsvBZCJrq\/4QTprd4J3+X30OeGXg995u2u3+17b1fvSPc5XhFSV61ActcF8ohCoCM9\/c9bZo1tgdV6tLAOdLAbLQKjtrmB5HlnIftfP0KdDpgzZqLvzjuAeASJY44JdjclXIWL\/nln7f\/2yEeXGMoyIkEiaVDqK7rWMHcJPdPkI6olH2aoQ2JhqCMaAfZya5BkKTZcVrTaT+pS\/VV5nSntKcM3CTHVn1QJUeUj6h2q2MKzFcP2Ai2NUumwn0LOQk1U+FTlm2pMpWXS4JWKKubPMmAGmjTNdWB3dSNdp9JrVV58Bxc7E6GH3doebYZ1hN9h3e\/k+728+07a2R7PyprzfJTGTII14d0xP9ujH+\/nOsgwxOSkB2oV6Kym8oKOXp99SbHW8O1voO+a61BiztZxY1Fz4YVwYjEway5NDAFbO3rdrLb8niAwqmpSLh+SEmocJQ1zGLEqhFAsExUbgiy1kCCSlgkNCqncEBgENJT0UJwmKrdG4NqCZ+UrqCogk+qtoD9qkQdt8k5IxNjPsAtCNNVrYVHYNHNdUv51Xn4Bm267Dc2f+iSM2sZg8wBuVyc2\/fznGHfBhfAbGypVhu9Xv\/9xIMBQAtow6fHrR0xJSh+cxfGPM8j3MBISQjFFCANJW6P6J2Xvod73+ioD\/5ndirjC923omiVewhJTSxwWbPoRsMx7bbr6\/k6CwKjOHZc5HRSYg5KLjAtKGeCVJEVnG0Vt+CQvabCjzKa+R4IRN43QTLGz8y3l2SbPykpWb6n2aOQPW+DGoyeJ6otYHJWYuQVx4rv8DO1f+FCwJ4InlL2MNfurV6H7+z9F\/a67Qs\/UK0cEumKznlXrYCTjEm8lgKi8Xb34R4QA1znPzNOZK676GQYBSvkSZ0lHqHCbi2PKsMdG4YcK+lcJ7JlkXcVVqmQE9COlw5LCH6PQuWqT2wECo6wmDWhdhf8LRjTUNhdSmSH6+M0JzlA4VO7Jhfo1vEw9zTJuO\/nIA4PXlfJK20ELQUWV+oLi8Gukcm5us1hGz\/9cjOSB+yF27AmS0ovONPSmowqouOJFZKbOgB54z4b1Vb\/\/8SBA+2C4TvhdlQpHnuPBPcj7IcRGfnZnlCq7pWpJ9Ubhi2HSxOh3c2eA4h+2jWFz+Q87ylEemP3MM\/BKOSTPPFMEP3KQ5HolcLq3D7mX34Cx2\/CDPke5y9XmqxCoQqAKgX8qCFSJ4U6Y7vzfX0Vqt3mSbkyspHrIVZoo3Hc3Io31iEwazI24E7pUbaIKgSoEqhCoQmAIBKrEcAgwdtRltLkexXYetkq1qEpPpTOuY9069D\/2OGpOODbI2hFaI3dUT6r1ViFQhUAVAlUIjASBKjEcCSrbsYzkLbr3Pii+uQr2E4+rmpkkoKsDmy79FdKHHwl9YpsQSuX5sx0br1ZVhUAVAlUIVCGwTRAYfQeaberm\/+GHGH7R3Iy6j34I3b\/5HepLDpBJofemG5HYfQESRxweJif7PzzId9h1EYD5xw9c0kN3CZZJJgTxmWDIjXBrwfOVVH7b2py8p7yLxbeBv9+HTg70TORZfUx\/pmJXOcAd1VGeFBE48QSp6QhjBRrVpgK3Ap6nuUFKOp7HMDwxgpoG9aaEPokrdhC3y\/4H4UaslRmh+GE6PaYh5Id5VIMZlt\/VP1UIjCYERjXOcDQHvtPa5rE2RHa6Af+hB5F\/\/AloehSRhbsiesjiADGpEA8ihh2FAnfaeLehIYUWVVhJiDCJKyWSJog7ZVSLynWpbkhwjXpxm+lE+HjYJYEtC99nQJbUgSq4TqXDZtKHHdBHDl3BRP3VPU08muUoMIlH4n1CnWFOkn5CmJFQfcQYwC0SHAShSDwtg4kymBNVzSyDDdTRx+FQ+Jt3mY9WMTb\/HOs9XH\/V7\/c3BKrEcEfPj+\/DJmb3NVjEcB5RAgPNmEJNJTAejFd83+HpHQMd3xVJiJVLKKcPOMFpCCHiJEKuXAvuDkqCuNBt6Zi8FrZRqWxIxdtSyU54RvWTR2gNkdDC\/m7H9knMuA6VJzPhq+S5zZsSec0py0kwWrYfsAvwGxrlhJPNiaHMiiSfCEnfkA4z7q5YhFsqAL05+LUZ+DW1sHhyvWRsYeapzVsf8n71sgqBnQiBqpp0RwObcYbkmMmV8094eoKIQqpxZv9nzKFk4QljH3d0v0azfo0HofIkBMLFlfMKeSyQoEXXgd\/XB69QggIuubAAACAASURBVGYZ8CMRIJGAZpmirttat0eUWoIMR0rMYltKyny\/ySMM5Ga2JKpKSaxU\/OmOIBMkhK4c9Cu189zPbC\/8UkGOKSp3dsBlwvw3V6LcsRHlbFbWrbapB5HTPoj6D39oC\/DLmhYpXoPf0Q572WvwOrrgrHoDbvdG+H39KOR9lOtqUbfkRKQX7q1OLFE1b1FftaAKgdGCQFUy3CmQV9KgUkEFh+hKtp0w6biQShEL\/hmSNhOBOpojmYegmcDaNcCzL2LgjRXIZ3tgdnbDY+LWiA43lkbqzNOR2mWOHAMFXeSWkHTK7BF6\/IwkY4T3FCeiCCLTar2\/Pj78YhF9jz2EzAEHwY9EdwhLRIbBhQ1Di8B77RX0XvxL2AN5GHBhlQHE4ihPGI\/o9ClIz5gJrbEZfiYDrVSEV5eCFufxZJtBmZoOXUf+tltR+O21MBsa4Y5vhj55PFJz5sJI1UCLx+E11kBLpOCbPH3CCBLLC3f4\/pqKam\/+aSEw6pKhcOtBuIFSnWx\/vr2CEAODPTnxsC1aMcRKInlIN9vob7EsBusMCBqfZUYZRffEEUKhZ9YZWF2Eg1ZJwXlPWquo\/QbPs3uLZt\/FraCnocQhwpGyCylUFI5k28f+Ljox7BUex0V3DEps3lMvoP23lyDRWIPEtNkwd5sHs20SrGSdIEzPdcXhSPLMSnxmSMjE0iZz5\/X3o3z7X1COBJKkqcF31WG+vucjtnET7NXr4M\/eBZkzToVvyJkhw\/o02j\/8jg7Yt9wObe\/9hRhyVrb3jLA+zbdEUHbuexDR5kbUfOVj0E1DJG8kawGe\/RnYFtkHWg75UQcUU3AdtPUyrZzLUxx4BNnLy5A84UhkPvwROTuU74Qri1uC\/\/nb8jhvamzht2qh+rcKgdGFwKgTQw4\/3PSOqM64aUYw1L9nOCmJTB0oyjbUAamimmIf2IlySQQILfr2OSOlz2KCCQ6Llf7RFqg6KqSOKdd6e+G7NvRkCojFhAQG6KQy7hACIRze81CHVFAZp5T50Fwb9vIVMGdMh2bxcKudj5LYIgHlF3Po\/MN1aPzQmTAPPDAEnSDOgKdQZRKfqd7im4qBCg1sGrzubgzccgPsI4+DH7FAJaxHpTNzWjomrImtSO+5EH6GBzS\/L5a8QGDwjwa7sxOGXZajxLgOxJa6nRcEIci0YrRVF20X8UUHwGhtFXizL2JD5CkRkpCa8OV5MvwEB52F2gzFPko5oSmsVUMTvMmThBA69BSVZaVmUXdcaJ4NRKLKMSc0Wg4CoHpVhcCoQ2CUMYNyGhAoCDXi\/lNnyG9uqH8vkCJOIVHwJOEvU6GpjJC+X4bWOQBvUwfK+R4MPPQo0gcdiujCBUMI1dZbJlIm2jV4BBUPKs62o\/DX++AXB6CXirC7+1Eu2Cg7ZWSOOgSZxYcE3oJBZv5tamXr7W\/LnUF8ykTCvhD8wnU3InXR56DXRcAT1pWUHJLkban1vT6j2AEnX0YplYAxe5ZU6IlDERkhdTqAzJsYpXg79Glkd+m+P3jaeynXh9jCfdB03rkjdowomatKFnulvhEfHbXC6ORWFJvrAUfJYpLMezv3JjxmyB3IYaC3F4lpu1RYofLyV1F4YikyS06D8+YK+BMnQI\/Fg6PTlDZDo0MMTx8Vno+MFeDJtPjQB3pgZHaVHosUKXtNg5PNIXvFpYi9+Qbi530a+q6z1aioEREP2u08yGp1VQi8SwiMMjEc7LVv20A+B68mLecJDt7ZPlciTXDzFW04r72E8sqVGFi5FujsQUT34NbVITp1KmK7tAmCeLtWlZzCNNuByo1V\/+I36H9jDSLHHYyI3ozUXhNhjm8FTEPsMUqiUUhAiNQgpXq75t7TffY19FilmsyIDCF8O7MjwSgoNYuUEo0gUbShDfRBb6iHGxzk7K9ZCXv1KkSmTQVaxonssTkAhJwGKmbttdeRb6hBGjwEWpFN37HhrV4NPZmA1twCg4c966GKevPaRv83NRQ2Cb6o0ofMz\/bsmqjIAX3TJkTKNgzaBOXcTg3O8ldgb9oIvbsHnZ\/5MlI\/\/QESM2eKTIggBtLTQvUymTkfmsHjbCmZ98DozSE9earqrdgKFPOiRTTUHH0k8r+5Ek5nOyKYAxJVElSqY3bSFtieUKzW9Q8KgVEmhhWDGey161C44y7UnH+OGNlH9g5897MglkgNKDz+NLKX\/Rz1J3wQNfvtA33CeFj1DYCoDCExgRqPVqLX51t8FA1Rruqkse7G9Si8+DLG\/vhHwHgicMFrgvSpZCJ6k\/3PG4yu3ologDY6SoBK+GY\/eFiqIudqiKJMVZc7\/K8Pz1fHdek6+8KjcTzY0GDpGvqefRI9N92AWqMW9kNLkfrqVxRCHgKvEIGzSMJTXnoF9UccLs8ZHutz0H\/ddehZ9neY5RLGnX0e9Lmzh8zCDh\/kO26AcNDpORtoSN5xBdvwQmXGOztgxWPQoxHlV6QBRlMLcNe98B94FJE774FWKqkaQ4IVbodSGXrUgrNhPXK\/\/h2SHzgaGDceMSsKZGokjpDHstF4wLEYpgn\/leXQHAeRhXuoOsV+reISd+R4twEk1UeqEKhAYFD3VCkanQvdLkErZCs0YpvUpIHZSDY5\/wz9PeyHOK4LYYrOmYZ422REDjsE0T32gNUyFp4VEUTpBLbKSvRDQNCkqqBuqvLoAsDm+M3\/xBP2X+6AOWUqMKZFDv1U6l6qgRWhITEO\/1UGuTVQB2Ph7fAybE\/95t938qFLffCO5kqd4dscibpDgr3jPqqdUAVOiQJw16xCOZMGmsZQ+Sb9iDSOwZjjPwg\/ZsGfPU06JOo02py8MnjIKh8sLFsGe9Uq+D396LHL0Ke0CYPh6x68\/iwcX8OUr3wJkeZGlIv5oJ5wrNs2TnnaV6yMF4Q\/hItMzUO4QLatvrd+yhRJC7qan81nuNLeSJWQueBalDUaboJgnfInx0AVJ9MAssuuC4OElx8JkncR23NPxGdOQ8evLgVitYHLC+C1b0Tfr3+D4s9+ie7vfxfr\/\/cmuK4DWEnoEyej978vhrFmE0peEX5Pu7KJC9enpEZn1Sp0\/u+tIGld\/auLUV76sGjm6cG6+RhHGlq1rAqBnQWBUZYMA2TCzWPq4oIdSlDbAgBKZNxQwrTKHyXwsLxyQ3a\/JuF9gm5ra+DF43ByfbAaGoQUyKuuByPfD8QS8ExTUk9x14o6KKibfZKqS0VoricxcJ5pQV+7Fvm7H0T9f\/wbYCh7F591N26CzpPrDfNt6d\/WxqvGp2yrHFdI09Sgt\/bW5uUhQFgu4pQ4Rww+NWSAg4Xb5aoyP2y5XETpieehp2MwFyyEt74diYYkjGQqkFA8xFrHo+P\/\/RIJ3UfiAyegsPxlDNx2G0xHh2OaqFlyCiKtk0EP0o4bbkDjoYch0dQIr65WbKKEj5auRcNZH4H7wnPw129EZNp0GQsZLPbnHX9oZ\/SVApa+x4qkKJjRSYcw5b\/38vGdoiL0gUZi89r4+636LiMLpDiRlkXqZmnAAHAIy5dDa2mCptFjVLWg6tXgGQYS55+PxP4HovviXyr7Ktu04oiMHwuz7KKmZhb8WTMEAnpjHdLnnIWc7qDnkl\/BjkYxsGYt0i3jpZ\/CJFLtPbUNjVf8RpjN1N13onjvPYjucyAc6KGB4b2ArfpuFQLbDQKjTwwHyRE0Ep8hm\/TtRsltzu1OBCjyV+iEwxdDxCfGfg9uYQBaNA3N02GIa33opMFadDi5LDr+3y8Qnz0dtactEVUbEUYY6FFBTpqG7B13w734UkTHj0H64h\/C7eqAlklCmzxVOHTJq1Eqoe+Xl6Dugk9Ca2l5u6EMv19pTKEsIloiXSVPBfYaeWPIg8NreMtfInW\/u1ffst6RbkozgYfiwNJnULr+FnjlXtR87OPQYnE628trZDokNZtuov7DJ2Pg2huA\/qJ4h8YXHYh48yT4pgajsQGU0pJ77gnnyceQu\/IyJBYdCtMwlYpbp4uHifIzT6Hnx79Ew3kfhV5bE8jwCoIj9XOkMuWo4wraHnj0cTir16PmzDMUIyGpyfjWUHI\/Ui3bVtb\/\/EuAVQM\/mhBJjut32BQFtsThhapuCdL3NJRXvYlIpg5aQy2cfL9kkImMaYVv6CINZq+8GnZPJ5oOOwyWFYao0E7pw9UcGNEI9N13R3nmRMQicRmZUV8D89jjKoMQhpKxhR6zBgHxD30Emuei\/NzfEBurCCFfNNh\/MhEbO+CufBNYswq9jz2NmsMOknp1qu15fweqhSudrl5UIbANEBhVYqg43ZCk6UDZhuY5Il1tQ9+V6U2RQyGp4o1IbpR4VThjRUx828HG730fzcefCGu3hUoKCbwKFSrzYabSqD\/lJGy67RbUlUrwIhZ4Gr29bgO87l7AycMulBDfY3ekDtgL6O5G4U93IHfFVYgdcSA8QjJQiQqX7viIrNkArcho5nf\/8WwHXrEfejINOfZJzKzKq+9d1ypYdhiqfddVvf2LJN5UQOuwWscg9rUvAq+\/iey1v0f6qOPh6YoYKsQYsB677ALNNKHlB5CYMgPg\/yGSEefX0XykjzoB7Rf\/HqlFR6puUHS2y7DvvAO9N9+C+nPOgbX\/vvAcFzoJQkBwRyIoI41DwnAEYTP+P4nyE09C++BJQqBtCR\/QoPuGcsgdqYJ3UOYWi8CsmWDSBcf3YIkaQJFake04XT6huKVlQ9TIuof8suXIPv0kGnfbG8WlD6OvXELL174Ko7ZWNkLdv34O+RtuRNe3v4vac84KesdQCg0MSGFoE4ld01nnwahvgCclhiL+su6Uyh+BIw0TbfumhcQ5H0f8zBI02hI505oPt3M9eq+5GVi3Fna5DKupHg1LToG5115qJhljqnE8O2sdvoPJqD76TwmBUSWGCicH26GxHr29vYhsbEdkwrYddEt8we1J0qC2qScEg9YIJgOmXGdrgGWYyGTq0f+\/V6N+7lzApYXKlRgqIhpBMXoE7orXEE3WwLcM8UpkAEb+uRfgPPsMDM+FsescGNpuQP0Y+OeejczRR6PjC1+E1VALLRoPdJi+oBBFG0VkfU8LS1+zDh0\/\/Rkavvk1GPW1SnqiEmvQ9+gd1+86jsoA8o7ffOcvcG50Sn8+YLXNkLkyW1qg3\/lX9P7gR4if+1GplAjZ696E8p\/uQc\/fn4PW1IhMXY28J1Y7kTQ4aNYoxUDbJNT96LvAnDY4nE\/dgPPg\/ej7wDlIfvJU9Lz4DAaeeRrp\/fZF0wH7i3pT1N7biIDpCCIZcgBEJo2D1VgHlB1okWgozwZ6jfeG0MmQ1Ry2uKIDN4NTHThOVXMgJW5NimLKW19D3TFHwYmZaP\/61xFpGYv6886FFk\/I3iAB82sakDz7XGipGvgzZomEpii5ql9kRdpGx49XYThMqC1KFu4RbjbuVZYMiqnKVUaHzthciUsMnjASiC0+GKnJY+Gla6EZShKlXVP3FMEkeKufKgTeLxDYMcRQiVtDxsgCfoavflWqyBiRoVPMSRwcn9zyDW5IVUdYC9\/UbRtaRycwphmaU0bvH+9CfPoUGAvmBJIa1Tk60hd8Et1f+ToKV1wFixKCrogwVbPcxAN\/vAmlF5eh5TOfk1yZJm2Cuob0MUfBOPIIpc6xTHFE8DxGF\/qwxrag5uQPIP+N\/0R0\/rygzsCmFLGg7b8XkElIr9UfjkAhi3AMQ25WLtVIFYLS+nuR7s2K5x9dIuiSbrLP8nmrWirVVRTRrJcIyIsnxZli8InN4K26KfBmb4fDPbgZvKzuqZn1SiVoHHcFmXOGlOso51c8hDm3pom6T30KveNakdhv30oLbtlDzrbRcOwJMBbuDj+mECyXjRLqBluTfK86EDv+KOmfchDxYc2ZhZo\/XA43HUP9uHFoSNcCKTIRqsMSiB+Ekg8d\/5bXFD9LsF98Cb1PP430q6\/CWvo8uuprULaicLUoahftI+EHUrdkZglhs23zIm4vRRsencdIeBirmsvCp7MviT8dXig95fNw129E2dMRnTtLwTiAmmpJdgKcjR3ofvgRNH\/vB\/DiUXT98c8Yc9Ch0JhDQmdMLDkSE4klS6TLLFGGAMW0cW3QUMF+KCaGHaEnMtX0XLpBVp+AKIdxgrIaSUSFOXWpUIFVV4dIXV0Adh\/MBMSYRNl1QUq9bYXSlnNTLalCYPtDYIfkJqUBf5ADH2r7GFz+gyhWdJpwslkUX3waif0OgGZGBbsKagnUmfSEcxjgLrFoCjsKql2zGhvOPk8cKZyoBbtjE+xkCg0XXgitNiObLwzT8NetQfaifwU2dKDuxivhNY9VqtDrb0D+9r8gdtxxKPdloe0xHxkmFA5UZBxBiObCfrNAEIbnonTzjShs7EDdpy8AeFQTQ+tJECiBGUQVCgYKHyvEEpKzcEqlreCHnCEn7gUaBv54C8zX30TsC18QaVVx78TtgYop7FhYkSAk9SOEtiJCiqz5rgN7Qyci45qV9yIRnTyuuH0hOvzNC8oDMk6GZfA5jtiXhNmMi2P9tN\/xXu7hB5D9y1+RiRlIt82A0zYN5r77VBgE1U2+zw4qGPB9aVuCuYn8wx6Hgwkk682Lg9ucf1bAOghPUYMOcWUJWlOekTKX7LOqTOaO70h5WBq2q75zjz+G3l\/9Aplzz4bzwssAT3A48Rh4uTJoSUxPnYJYc1MgeQXwoqbCLiJ\/14PQezoGE7OHY2B6OdtFqVCAU8yj6Hhw6e1J+HJyRdUO6K6MTvrH4qRtw5o0DfFTT4CeSEqKVsmXoF6Bq2mwV74Jf9MmJPbaG36phP6\/\/BmpxYuA+kZoJHxik1f9lDUpfQo7JgCsMCYkbHInEAKFGFagNxxOQ3+x9iE1Dr0l18QNZCSV1E2iv\/lO2OKVakEVAjsFAjtGMtTIb6pPiCKIsgZJimxFeUC2vObDqKtBcvFh3JHDtlyIIB2nCIO2CiZZZtIUedsDGhvReP45cH99NVy7jLp7\/gS7owOGFQVPg1CSgK6SPI+fgJrvfxsDTz4PP12j2i+VkH9yKSKJJPqzWWSmTYXZOknuVdoQkqp+hWhTEK8cRWQgcuoSRDxPpEZy+K6uxq\/T7hWEYJAAqPEHuVDlTgglaU6wOuMb6QAiGJ5S3PLX4E9pg18oQO\/uRnHFKpjzpsOsbxRYDUVaoTPCcISk4O6Q6ydiMwxEJ4wVpCfPVZBe0DvGTMq5AoHMINIC7zEsgsREDw7k5duB\/4PtorBqFWpbx8O9\/Br0rbsJpY+fgdpZuyDCGM4KQ0NoqDkhPEgA+KEtVNUmPyt\/1NpQP9WT4a3BEYYEUDEp4eyo5wahqxaM79GRKgfkC9BKNrxYBFp9nTp1b3gDUoE1YSKi552L1OJD0bWpB97kKJrmLww7ofrMmFSWcK74HQBVq09DN1Ws3eDwNbAPum4hGYnBrK+DVpOCH4vDjzLGUGoAHHIgHhjvKvCKxKCn4vAtrgsPPIdQFBqVnqjcofqkSdAmT1IxfhETqRNPUlZArkmNCbLDDiqV5RZDlrWgSiv3ggv1RdHVhe848Jgkw3GgFUty4oVmM+SFa5sw8OG5Dhwm0SjkoRVK8EoFDHS0I\/L8i7AOPxqJY49WsBoyhuplFQKjCYEdQwwFJyjJobKp1DbZYqwaPdOYLYR5GfsL8Lo7Ucx2wSsUYebyQHYAxU2bUE5GUX\/WR8SRJAxeoJ2ENpHY8Sci9+c74b\/2Grw1K2FOnSUSSwVligChgW3pk6ciM3kqyj6lTB+GZaLuP78LWERQKvYqRGpvxQ1TRcQRyiGovNYNifMi8iKqUQ4hRNFKgqN6k8SZHLEg7pAIVSCijtcpPb4UxSeXwhsoQDc1RP5wO+xZc9D9xhtwygNI17egZv4MJY0E7wb4t0JQBokAH2BDQZ9kMtSMDCcbwWMyFw4M14XmiFJWqScNZZc1enqR37AW5vhxiIybINhf0nGZOhoXLETn936A+h\/9N\/rvuw\/xMWNhpTOqh8zbRWBSMmGcIOsnUrWpdvPUCRVBPyvgCOiK6NyEjSB81N2A\/MgPzqnv+PBLObiUtkpFOPkB+MUyfNuFkS\/AzfbA7euRcIy87crZiWbZgzFhPMYuOQWalRzarFxTYrTGj0NDa6v8dikL5gfkmpKNCM7sYyU5A0vF+gzfiCK57\/5b1Dm0gHOm\/gcS\/tCbwb1w7\/A5Apsrh9Id1xLbl9jRQMqW2gS+nHEHrsbYQq5EHbpdhsHjmih9EohuCXp\/DnZPH0q9WXjFPLRiEcwhCs+FXnah5fLw+3LwBwbglQtwPBseVZ08ScSwUJT1zrpL0F1HeY+SVeI8W4Yk\/zYjEWiJJKxEDFYqg\/jEqXCyeRj1lKaFzKuFt9nYqz+rEBgNCOwQYsiN6nsumInf27QOumnBLthwe7NAIY9ifw7lXB6OXYZWzCGWK8H0bLjcIaaFAdrZEkmkauoQbWlCatIEWK0ThYMmWq6gc7HTaHAeeQTlTA0SF16A7G9\/h7qvfg1I1Yh0SpJV2Xii6lOImeViH6EaM5mUZ5jgWYhH8Eu9F6Kk4dOjCCWTsYUMLp0CqIxiDsyQ0g2SHCFQpAc81JQcf6BmrNRKoDlA79JniEtQe\/xxgO2j+MpriC7aH+njj4WXTEBPJAbfdRzVOLtoDLYldXq+EAOvXALyeWj5AmjTQ74Iu1yAWyxBt4uiTisXiyj0D0DrzSJSLMIs24I0XcOA6Sri7Rgu9BJQNA2kjzgUkXGtKj8o5SHPQ9dtf0Ty2GNgLF6MZOtYbLriasR6B8TpxPdNUfFaGpBbuhT2jy9FxPfgzG4T+6FMlEdEWoGGUl8GEirnxKaNN2YCdNRgthOedcgDkkNY6yYcQ0eZSFo3YMViMDMpRDMJWLUpJLQpMDIpNNTXwUukRJSi1kEzYoMwHGxelgHnUs2vj8SC3YC88gwmpDn\/nFOq\/RSVNlT\/OQadhJHrdLjEKyuJe0MugvmSH8rexubD1ca7ZMrC8AMllws\/ETyjpEg+x2dUnWoAJHhc3YYmp0Zi4NGlKNz6B0TTCXi0w3Kd0hQYMVGMp+BEE0EoBFWpNJkbiEVjiI9pRMQcBy0SgRuPwidMU0no6Qz8ZAI+wy8iusrWRCIr3Eqw9rmvdFOYRIKE\/4XVPORg6SSzBIVwGwr26nUVAqMFgR1iM+RgsrfciNJlv0dswSy448YKAbAyGcTSNfAScXhWHK6pC3Kz0jWw6muhp9PQYjEhiCMChPombnwe5cPdRbVSbw4bv\/Yl1H\/gREQPPRxd3\/0eUgceAOvggwSZEJnxYSIZSpK8VhlmiEgV8lGlg4hoaNvM1qFJ8uTgaW54ViASgYh7EsMF1xEHHtieqJA814ZXLKDc1SsxXyiXoRdd6LPakJw6PUiJNtiSshmS81dKytDBp\/87PwD2WoD0kUdU7FulJ59C8fY\/QayTOqUtRYiVRKhJ8DYRve0DA6YFJxpFXNdgWjoiuiGnB2ixKKLxlCRjdiMmHCLJRBJmJgMznoAeiyoPQMI7UNeRy9dSdAhSB9GKpMvrUhH9d96P5EGLYFDtR6UqD41NJGBGomKvkhnwNdgbNkB74mkYrIdJm6n2JmamVBo4kcjkCmIlvlSOJEIYBMGS2BHhGtDIAOg6qI6WdHr0WAzeG4Ts8Ktwzlkqy4lrQ\/B3SIYGnxf1JjO0iF1UrSQ66lAjQILDPhkqsYu8FM4hySTbYYhB+Bm8ElIaFCtGQ8hi+EClG8oYKlJgsE75SOi0EqpeQ+opDKi0p6RHBUOxzsHt7QW6uiTdm+ydaBRGPAHEY1s4UoX95be0N7TgLa75bDiE4ZqJwZd4X8GPDEHA\/LzNfA2+Xb2qQmDHQmAHEUMf9rq1MHuy0NraRKIjxgntf283JG70YXtECviWwhThJuW38+qryD78ABrP\/jBgJOBmu1Rui9qawPal1LVbtunDz1G1VgJo\/5CqlU2EkpSzerXEGPZ3dIlUZchpGoBnaBJn5lmWnIunl8vQyiVYrgcq23wS+CBhNM\/Nsw0N5VgMfjIJw40guXBXpOfPF\/JcwXuCmElCOHCOijZO+p5oyF55LZCMovaDp8DxyzA0C\/mXXoK2fh0SEyYAZiSwMdlij5IqSLwiBpBMAKmMSJSSLJzSqE6769CWt4QMS0IYD73LMlVO0kZGQN1VGU8UUVaSki5SstQjWFtIGVzmwBR5KnhPjXRoE3IdVFvpw0i9Vf1QryoZSTE8iigoJkXWHAFJExzXn\/RfqTIrfQ\/P5wvW1rDOSCP0rlQeloSbqELle7BXJIuslQ2xVMmErGloL4Oa6YlMKVekOdUnqUkGrYG2XarvOUUCZSkPtMwskb0Rti0DUyKqVB88HIxFVlTwvOqXelSOWGI\/iwWgxLXvCnPhZ7NwXn8dTtdGeK3TkN5jT3g6ncE4FCWFCw8YDk0Vy1qlNEx5VDyK29tRWrMafsmW\/cCYUb+7E9kNm1B\/1NGIThgndk2Dwblbo5wBuKpfVQjsLAjsIGI4pPuKwR1O3Ibcfi+XjOjzHRVbqGw3dEUngiGSYLJtHeVly1F69hn4KrZbvPC0\/n6U2ttR0AyUEkptpHJnq3cNTUcmnUZ87DiUG2rhp1LQmVKN9ilKMWUHcMrKKYdB44kYjGQCVioFxOMS78a0bPKfUkvwIaoigqKdTHnRhUgtfELd5y+xh8KHU+qDXvSg19SK4kziJoeEBgytYSgq5HWoWttWfEPVnmJECL\/AS2krUtNgjwevlGQU8BUhwRViyGd8ODzUV1wgieaVpDX49pArOiMprD9ikHmI5Hkkl4xNnJOUtMF22ANFtpTXIqUrFtPeJvDaVoAM6dLWLhWh9KFTW8H1sakdA6+\/Lusl1tIMWDoKa9cDb66FvXY9zAP3QXqffVSCcfZeQhdEYa+aoPai4iC2Zas0P6CvFy7TACaTAdMxdBVs+Q5LCBWmQ9epxO\/pR+\/ll2GA6dkswHBUYL0d05CoaUB8bCuMe3mLgQAAIABJREFUxYtgzp4pBE7BMpBKWVmlOc4EI3Y1nh4J+847\/z973wEnWVGt\/93QuXty3JxZlg3sLhkkhyUoIoIk0xNFMCGK2afvmZ\/6\/D99DwMogooggiJIFlByDsKSYXOYPD0z3dPdN\/x\/3zn3zvTMzi6zy8LuYjfs9O17b1WdOlV1Tp1Y6Pn1FSh4BozWJsSZIi+dFGcfxu+au81EZOli2KkaOU6Noze8OsaGu3K3goE3CwNv\/FwMTAhvRIckRpDHI5EYBvRbbHZil1HpoGQCedo1onT3M8E0UHZLGpkle6J24lRJo+aT0Qm5IJRUv1lAwMQCHrpN4CtZJhHisg+INL\/kl0oFoys2xFOQu2xSHAPRWDX8OMGjPs4C4+vCD69U2lKJRO\/LVkAu5Vw5Xg0Rr7Dk2N8iiVBSIgxBubGhHLv8WBInNychbm2STMeB2zcAlPJw166Bt3YNqFo2IhF4PKm+vw+DJQPVJy2DFeOhTCM\/0mc9ujcg8BbskPEGbFBLBJBz\/rmeZHXxLUMyu4wTHSMb3swvGQ4DKD72ILrvuh9WtldOi6edrehQ5e3BsaJyjFRqyULJk0oGKtKkhBXoApF7KtbCX7kSpUefBAp5+AyWj1INbMLvH0Rf2zoY7V2IH3e8JBPQ3ctmgCu7zT6bniX2PW\/NSxh88gm0fuoCGNVxMH0ShUM01MBrqBc1MIuWfBeRcC2RaQfwDc9ObuyY99fE4COPoPdPN6DuzDNh7rE7zEkTRHU9Gtcyr2iXFImVMv123JmU9bdyWcHA1mLgjWeGWwvRVrwvp9TLYqUDAaUAVT+RKBepbvI8CYpO7bbbmLWq8k4XtEgP8pbIHUztL\/XJ4uVOnRejVjZtZkO0fkhrGL4oJaVGqo\/4GSou4lf4njwa\/hPUY0qAPQPVWYqUQ+tQe5We3EAnCa2z\/C+r8tUEx339WIAPtzbiSh2IVHU1BOuIN7b2B3GrriSCqP5edP3fRRgoDcKNJ5CKJJFpqIPJIPZ8Fj6dfaIJZPaYD8OmY8umOynCJWcTSiovU+y59ED2ujvE+7GUz6PI8xG7szB7emHRnukCmZNPRGTG9EBe3n7TnnONXp39N96MeH0TUh\/4pIRMiO6wpHZQBF7K4Yjz2xc3q1D9ytAHlVxNo4SOn\/0c8Y4sYvNni73W9y0YURtmUyOq9t4P9pRpMFvokcl5UTavyocnaCxsU6eQbsn8SZNQmjcP3ozpsGuCECNKjtkuoLsXfnUGPm3LhnpIS4yi1G0NDYnyxXBOAl2PPoDUu96JyNFHyyaFf9y+buTuuAX2ijZEZs2GfexRoqYnxOJDKxu8cqAr1xUM7DgMbD+qsNk+cDnys33Ia1BZ8CXby2DDqh5+It2IfMewaFKdwKJEZiLbeDp\/kONQciBsoYpKbUvhXR5kqiCzHtatCz8kLtIbeoZK1\/hLWw6fh\/2V52K3UqcLAVwLj40R0ZIJZdSUWKxZuynET\/kDWaUGuzOfKxMNmPkB+OvXARvbke93EV92KOyWFoFvbMwrZCGcilAL9D5116wFnlkOn7Fwhx0s3oRj16GltvhXu6Kw9\/YDXVlM\/vhHYTQ2y6kfVGWP9XElFVg4miPfkOGjW87y5Wi78a+I5npFNW3aMXiGjUK6GvaEJiQmtcK0Iqitq4c9aUIQ+rIF9ezIZsb1S+ylnBsTJyIxYSqsulrNzymCPD0q6ebEHZvimz1yGcqQzYJp6bhJUGtbMB6+hXx1NZLvPQuxefM3gYFv8R\/nrmzG+GszgxPUqHX4wOCzzyE6qRF+LCHeuW4hDxvVQ4kTei+7EskpMxA\/cRnyt9+FyIwpMGZMkzXiDuTgrVsLz7QRmdgCMP1guBnkGyUXZrOGTDB8hvHAxdXrkV2xDnVTp6D3ssuRXron4i2torB1GO7jj5VpdZMuV25UMPCmYGCrmSH3+WHEL7PW28Ui0NMNj27+\/X0orVqLXF8f4BYRnTwTqX0WSH5HEgGqRsIgaa5fWdih\/YyhGB0d8PMD8No6kNu4AcWuLqQWLEJy8eIxkaE0gFJhKHspzyXdUduUChckRJJ6SgK9yRQNRiIMMWgyQLFhUZPq8ZhZE7ZIVHxHiWdIb8Jv1ihMikEDBtGo3oWhrFYOMN9T1Zh6R26WegWFlAXolj8kaNqWHorLhqmacp94DH1XXY2+ZBJeMoZEMoG6xmYkZ06EWZMU6ZbMnso6Si+B8hOGZ0msmukUULj7ARTXrIFvujC7e1Da2I7+RBw1Ta1I7MYE2QR+CFXl3Rp1HUKq6mkZW5I9JlSgxM7bto3Bmmo4mVrxGhZJtDcLt6cDZkMjvFRGcsryZSWTgmWFWw6MVSmMDXPEcnfciUQsgsyHLoCdyQD0NuUmZtSH2yHCQ8cUEbRHPd+an8LYhPsoPoeYuWEH80FDa7r+eDUSE5sRP\/BgsS3rlovB8ga8Z59Dz213oPnzF4qnragKAwma\/XJTEbgOU4FTvvThFYso8LxMMrO3nwBj\/h5gQkCeDLFZNWMgMbLfzBJE7+e+W25DLGohfc5HYJkRmIM8ZXB4Q1la9RIsevi6HtxLfo3oB98tDnClDevR+fOLUIxG4CRq0XjycUhPng6nbwCDV\/4BkekTYTFjTnEwQCU1Gh4Ss+Zg0m67wb36WnjVGUQyae0TUwrKFmDTsQoqqHxVMPCmY2D8zDCgdZIvkQuIm94N69H904s1bCJJu1xaHT1qq+APluB399D9UvgJ9\/8jtF5hfUUHxZtuRfbZh8V2FIsmYScyMJhCqmkCzOYmWczqxRayohBP+rv8bngtjjS0zQSZTmi3I\/FgLCAG++W4G6zvkKweJFSFl15G3nFQ\/a53IVpbHzawxW\/pgmHDyPbDKxSFsBU3dMFoXyN2qoH1GyXhdOqoI+VMw7FsamM1EPaBz0IGJkRcbC2BW397G9p+fSnqTz4JNfseFMTrqRpMcE0yGoQrmHJkVVgriZ\/GA7jPP4+BX1yCxMKF8KuicGfMQe3bT0Tt5ElAYEclHR0fNxyun5ION00kdTy1jr44vOc9uxxV8Sgi6QS3VHDXrkPXRZcgHrMkyUL1pz8No6lRpCg6x4jDizAwlX6kd7KxUQ8T2hnjTRNg19ZJom4yUFPeJ0vRD+EQRsTTJQKP0uDRNn1JaAM3Qtw4OS68znaR8HzD1gQMZD6eh4E1axHjKRQw0PnbyxFtbETVsccJXLF8PxKr1oojFu2BZLC00xo8TzNThaSdRKSoGg1urgqrX0X3Ky+huliA9+B9iM+fD9s1NeCfY7kFuxvxoPZIA41nnIoN\/\/51JO+9F4ZTCEKYuElVhhhpbkT2d78HHrwb9n0PwP7w+3QfZEdRc9rpiM2eIzZMEbHp7ZyII7LvPshdeTViV\/4FMWb22Xv\/wBXcFdVu7n8vwuDvr0TdL38GpGgDpvmB86PCCLdpAlYKvWEYGD8zDGxZKjBxifsYfHUFzGwf0l\/+PKxoHIxdo32kPJ+HEGR6wLl0s2bKqYBQ8ZgXkgq3iL7bb0TmsLchcgSdJuISe8h4KCVoYZzbFlzsytCjDEplL2WIQp1gMUDbddB\/xZXinFCsT8NrqBXvUGboyEyeiOoZC2HFUwHzDclpWeWjLi3XQf76G9H\/8KPwE5SSTeRTSRgZGxZSSNZkEGttEs\/RcqI0qprX+CklZSdBKYt4Jwbd1WuQbJmE6EGHS8o5EryApkl9EuJAu89gAX0XXyxZYxLHHS\/5SF16dcJEz1PPIn78EUi894NDMIizz8Ag\/N42GE0NgLU1LkSqDuTIeYaJ\/JNPwn3lJaSOP0HiDbueWY7ovkuFCLNXpfZexPZbiqo9l6DtO98DSjwASKVnGX2Zc\/yjuVEFSLmnLhwmPYQk3yalPkPycxpkDt3dKDz+JOy5u8FkjOsQayRbV\/wNdXgbLqjdoOzqZfvR8eP\/RfUBe0tEucTwsT7PgWF5EpzOn9Fbb4M9Y3c4BxyA7B\/\/gMhDjwE33YHBk49H\/PCj1B7tuNh48S9Rs8\/ecPJ5eGl6TfHjIzJ5Gpr2PQC9t96K2rcdrF7CEvLAbc\/Yauag8PAXJ0dzM2pPOBHdX\/4OMscdALuF52zKihG81Lzv\/fCeWA6jqRqF51aLdEqWZdTXItZQL9KeHLsU2NBN20R84XzEp01FbnUbeu59AHW5bpjJ2qHsANbus+AfdSi6\/3QNMqdZsKfP0Qw649xiDXegclXBwBuLgXEzQ1VYBWom7kotA\/GJE+FHfBiJONxUZoSbNINrxSmFNqEXX0bPgw+i7vTT1YYiHFXTUJmJBMzd94A1fTdYNcwTqeYV3y2qyot5K4PgptdmT6Gji1jURCqkOz8tbHT+dvt70f3sPzHpQ2fCmjMPiMdEQiknJ2oD2nJLZDykr15nG3ruvAktn\/gUjKYW8ZlAKg3wLMTt9iHBV09SkRMLeVV\/mj4MSli0z8h\/DG4cROnue4G+HKInHC9jREGYwfJdt96C5r33h9HSCENcUH0M9g8gMid0LhI2JFlrui75GbwHHkf6ws8ivmTRuHrC0sJmaEcNvAVRcJG\/+yFJu5Z598nw+7NITp+t5Nf3kdx9DhJuDj0X\/wKpo48EJrQAjgdn7SoUnn4athlBZJ89YdY3w1m3Gtkbrkdyz6WI771EHIq87gHEpqSF1bF9kYiLJbRddRViT\/0TpdZmNHzxy5IsXcZ4lNQ4ro6NeolzWhg1+1hTg6aPn4ven\/0cxrrVsE87U942LBvJhjoM\/PZy+DNnAI8sR2T3BSjwEOjGeiQvuADtlolkvc53ns1oxSKoX7YM2e9\/H9V2AqlzpurGgK42dgztf\/4TEklusmy4ngvX9BEJEnxvebYyXlVnONdw7ISjUDtzKoy6anVm4fSSClyY1MQcPUH64B7+IkpNDYJTcRKS6WHClm+lAxq648OsyiD5f\/8Fu2MDfDspgqNs2gayiM6ei0yWY\/xrOHvtLeucHeNzblYrnwoGdhYMlPOB14BJSa6oojRXNqxECpaRHEpTVVy+HF0\/+QmcV1cEqhKyIMDO9sFYvpxbZhXZRP0XGM8H8yjwVO4qzVzCBUvi33\/9X1Ha2BZIkuNfNLqwtSu85qnzvbffg\/zy52CuXINMTR2M+Qs1LRXzv\/kunCcfh\/fyClHthTvlLSJDFjG5oYFIbROMKdOB6lo4tbXIP\/gwCo88JaxB+7LFmsbxUKUs7h+IBefFFej42nfg8wQFbtsDYubyVI\/uXvTcdx96\/3wdDJ7Qcc2VaP\/9VfByJUSffgFmW5sUGXzkcQzccisiCRtmYJuSzQ7Vyp6DzFHLYO23GP1rVo4DPn2FsOlkUome6snEPktQf+EnMbj8aYBJm22mJS1p0jse2bV2Azo+8SW4L7yI+Nx5kgygtGYV1l1+JfrXrkJ3xzoUcgVR89E5Jtk6Az233IS+i38tUr5fzMFoqhOmoVoATYLdcNoZSO+7DwyePWgE80ykuUArMe5ebfoix4FMn9Ih\/3NaJ6D6lHfBvO9xRFy181H7UfvuU5DYZx\/kHR\/G+Wejt74RqRmzUfuOk2FMmQL7oIPhTZ4lddCWSfVhZN7uSOwxD2ZNFYwU14PaDLkZrD33o8CEiWj\/wldhb9gQZsANLNWbwjnmHZ5oz\/U4b3eYLa2CV5mjobQcOC15voPEaScjumCBwKdSuqshkbIUNZSJp4LqvtaHX5VBdMZsWHYUlM79gRzaLvoZ2r72NXQ\/8ShqLzwfsUOOUJWtAEcRnz2sfCoY2DkwMG7JkOAajoPSfQ\/AoT3kkIPlQE+eCO+bdBQHetauwmBXO5yrr0DjZz8Ps+igcO8\/YF5\/EyLrO2Aw52UiInJM6ZVXYFXXAX4RUc9EtHmi3OfilOwczz4HY489YECPWRIPjDJ11+bQp2wz+Cu7WANRuMjfcTPMSVORnjQhSKrtwLEsmH196Prpz2WX3\/DvX4KXyAiDlNMxyhphgD\/N\/oXHnoKf7UbikIMkFpEmUZ8qYMQFB8VXX4ZXXQ1vr4XKqYTQCPbKatu6SxIcCUKnY9CsaUjtNheDl\/wasb0otdFxx9P4ycZmVM2chcHCIAp9\/SisWofEvvvBXL8WfqIGqNHE2fEpE0RtZSSj8KcEkoAwMw9mLAGjoQXFlSvQ+M6TBFAVhAOtQCiFbqkLQiHVochoboUZiaP40iswmyYj9+oKVE+aCnqLGpNbUX\/Zz5F\/+Rl0\/+gHqPvaV2BNnIjJn\/5kkPYt2JpQAmpqROzty9By+EHo\/eEPULzxBjn+KNXQKJAMjbttAM8+he4bb0bDN78pOVvVo5hv8N\/rJMABU6Wugcyf6fOMPRbCXXYUCk4JPDqQbfjRJJJHHysmg0LbWkT68tIy3zdjUTS85xTx6CQ0JmMJg61Y7OxzgFJOfmmSAB+FRx+B9diTKDz+T0QPWgK\/vj6whQ\/tLbc0GkPPdGPABN60Mwb2c0EcWw\/ssPLEBrPGyDAGpUWPQ21EuAZlQ0iPa\/ZATR78lgRM9DJNpNDw3vfJWkNT\/VCGHrVqi1wY1jQEX+WigoEdiYGtkAw9uJ0d6L7pNhTWr8CGS38JFAYhCXdFEQnUHLUM9QccCjdfkl1+\/\/In0f3Ek7AnT4aR5qpjc0qM+p9djs7f\/1ZVgDwInWnOBBNKtBigTWLAe3LW21YtnUBxKAsdSBy4H4q9DD3YAI+ZY+SjicGMaBIN558vR8y4bR0CN5WspfaNyD\/yIAb\/cQva\/vgHFDs6BAIjGUHv3f9A10U\/gZ\/tBFN4GK5KQ6zWzw1CM44HXS2nKEHLW\/ulvQm8ceMxJM48FbF1nbDXdsK0TD3jMTi9wG1qgbOxB8X2drSe\/2nUHHCA7NhjZ50Ma\/Ik6YPVOgFVc2fDufYWWDFlkARTnBpWr0T2e\/+J9PxFMCJRuGtWw\/dKgRv\/axNfHb0A\/5RETBPxg\/dDx+9\/B\/fpx2Dl1eNQ8ppme+DHmaqrH1ZjA4x4Uk4RAY8rCqQiqc+ghiEgw6k0ku94O3q+8QMk01EYra2qciMR54EMDz2E7v\/3M9R+7GMwZ88SVPsi\/YahNVuL\/ZHvB1CoFMx8r1SaGgaiZ5wEc9Yc3chRhVqWiD3WNBHxmbN0BssRZKZkJ4qI16xOUtbL1WHVZGA1NssyoQcwx6S\/uwfd\/f2oPfXdqPrEeUAsHqRtIJaCST4SzM3+knYoLRNZQ0W1V2U\/A1iHqxn1hjzg+3pfM8nogWX0+GUCdBNmSwtAh6ggHjZ8l4XHqm+4tcpVBQNvPgbGLRkK8aptQNOXPgfEbBT++\/sovrpKM7v4jizk\/P33I3vrdWj44DliD0jtsRBVCxZj4K5b4SZMIMGkzcokag47GN3P\/BMDN\/wVMWYmYbiAPFMJxOnPIeYyzIHvB8Ht24gfHoaamToNA888DbS0IOo4oPFfEnfHonKiuseYp+o6VSMZFgYeewLFV55BIp5GomW67HRpn4vO3R0tn\/8ceq\/5I7r+5+fqCRk4xvmDeeRXvIKqPZdqX+QwHVXVDhGabehDGI5CVSBVam4sBvPD70XpieUw5aw6bcPpboM9fSIwdQJKq1YKd6Bno73HHNTMpycgSZAS0OhBBwA33IjI1Clyh8pEtz+H9gu\/ishzTyFXVYvOi3+KqkVLUfX2Y0UqplxANZs4VYyjH+wzxzX2tkPQWF2D4uOPI75ooXqa+sD6a66D1b4B6WkzUXfBBfDq6uHT+YTzYQvbNNrfkm8\/FpGFiyRbEHvE10svPI\/u8y5A9b+dBWP6NAw+\/ij6\/\/4PJA7YF6l9DhjpzTwO+MfzCgk\/Ja3M0v1Ebe7BCRLBD2+QxlPP6HekXs5+A6g96kiYR\/GsT9UsMvUs7eDyUI2Yo4tXflcwUMHAVmJg3MyQRNSNmrCi6rCQXrInBh67H5YZEyKTv\/569N17Dxo\/eQHMyVPhrF2J0sAgEnNmIbpgDyT23E\/cx2kFKRke7GQVaj\/wb+j6zJeQjMRg8tyiwB5jeC5K\/V0ixQnpFunq9bATIHHYYSjceQ8GeS5bYRCwUypKdGxE768uQeaQt8GorYHhOxLblTriMGSOPlp2ucSpmDfklG5IEHrV6aejf+VqDK54AalIRB3Fs30wOzphTKWXnjom0Gb5+iBnTUEN4kmpu\/DS0qUoWTaioQuQATjr29F+4w1ITZmC2mOPgfTE9MTTV7gLT4ki7gntxCmo+dpXRP1Ie5WktqMTx1c+L0c5+YzbmzwFZiYFz9ITJEmAyTS3pj+278I1bEQWLpZ\/ikvajg00n3aabKaMuB6hpc5L2hbfG4sfUlZyYjbSX\/6S2qADm6lgKZ1B7KQTkFv9EryLf4FSIoHUnIVIzdtDVMnUMKgDCN\/ePh9xpmJVTGHHcJBAZnvdtQvDo6GY3tTMUMPsSvTe4ZaE1wF2tsPaeN2wViqoYOAtgIHxM0OD6jgN3uZyjM9fgv4\/\/RWJREYkC0pEkf4+9P3lRtCxYaCtE9XHHQN\/zhxYLdOUgAbx+iKf8CicpmYkznwX+u5\/AAme4i3EXhWpbqYOsOJSjgTw9bAUkTonTkB81iw4Dz0IS\/KOGnBXrEDXR8+D0ToF7iF1GHzsScT2nE\/3Oxi0PQlAmmCaaiW1uZDgEUYTmU98CtHuDphy+K0LJJNwDz4IiPGYI\/1sDeMIy4z+HtK0BpotygTWrOnIzJgsmBEXER9IzNsdU+bOFY9d1sHjhdTWqjilhGmLh5EvJ4lEF+ypD8hQqUWMWjDn7xHIjuy9chptnxI77bnK5MfTL0o3xBPzqbJZlSp1LH3Tg1mV0nH1gyTeoWOS5tcZkmLL8cF2RRCXzOpkCMHc4GHNE1pR\/eUvAEzrxtPiE5qEXRy3aG8VeIa2FuXVbvO19jGw6RIWOVA39Gre5mpViifeiAXJYsO0EPzN7aFK97pRDCTEbW+qUrKCgQoGSCr9oa3ta+ODi4\/OCNyl8kij\/IVfgPfwY0j99c8wbAve6jVwsj3CLOxJk2E0t4jbCS1\/EmgrVFXzhwqfIQCOA39wEF4irbGAzBjsmXA3roNRUw9THG7YcKCLfG0wR7zB7vGfZGNbuxaF1SsR3Wc\/GDwMds1a9P31OrheFAUvh+S8eag\/jB5vynWoFCQxkjg33fxL3+gaomSJUhKfk8wHhEtO\/Y6q27hs3gNiPQKqrfsheFfWLGSQpZUcanYRRp6I1CA2JmXV6jQSwMcCwTMOQXhMUMjZVCUnk0H6R87FjDTkkNIrASBwsJAwj7FktrH7JNNLDpnlEU+0ryk3JQbZmLKzgOnyhswRPqVMTUI\/ui3FPLEazin2XfARhE5oJxRH\/KtB3soEg6EdG9htvRtsEKg+kI1ekDAghGObqhWvJfaKeFPYJc5UOsB2iAeupWBibFMjlUIVDFQwEGJgq5ghV6X855vwTF+krNxtd6Luc5+FFyHxGlahCf0USZJNbVmOGH43IOSBTCBASh1bLh92ZnPfwhCFaqibvXgyljkvlJcTxilEmXfHT2mE6LOI8NHXB285PK91vXkIt+XJa7VWeV7BQAUDFQy8NTGwVcxQjyKiNBLuSD0YrgOYdhB3RQ\/NYBv7GgxwNDqFCYmaTJ+EzIVSy\/b4CMMdVdH2qXlUpZWfFQxUMFDBQAUDuxwGxs8MqQqi4CMHn5HlGRKES56nacKUtYyt2trl8FIBuIKBCgYqGKhg4F8IA+NnhlQaCjcM7RWhElHcORRlYrOhlYOMsSJ3\/QvNo0pXKxioYKCCgV0aA6O9E7bQGao\/6dhAUZDFmJKJ3xp1ZohjBTkm3RK3UE3lUQUDFQxUMFDBQAUDOxkGxh1aIcwvlPdE6AuDHdSTj+6aKg+SaVakwp1snCvg7CQYEP\/YYLNIx9Dww8tA8SJhKLxf9jh8rfJdwUAFA28QBrZKTfoGwVCptoKBfx0MhGEYZHYBUxxKIlOuUalwwn+dOVHp6U6Bga1Qk+4U8FaAqGBg18aAHMY7LPVRUpSYUN9HKUg6QRmR\/1U+FQxUMPDmYWAr1KRvHlCVlioYeKtiIFSFsn+0wDvMy2MYiHg+IkwwQBNDGJ30VkVCpV8VDOyEGKhIhjvhoFRAeitjQB3MqBrlP3uwCHf1OriSPdUQj2099LaiJ30rz4JK33Y+DFSY4c43JhWI3tIY8OEFqlLbcdD\/81+i5\/KrJO+odFvS5u1YBFB6ZdILhlIx0caWNLaizKUdlN7kkqGKKQwl2Z5ofz2Jx2KKxR3bp\/G3Lr3X19n\/4J\/ig8prdoR9rHzeahioMMO32ohW+rNTY4BE1JVUgED2d79HqT+H1nPeL0dkEXA+17yjO6YbJPWS\/YkMWw7JoOrWFUY3FkQiv9ITyDDVC5bZqTwPTrYdcAsSc8wcquEhG2PVsXPdI\/bVQ943XJiSV9eVnLoiscsZq3y+y3D3nQu9OzE0FWa4Ew9OBbS3IAZ8IAIDudtvQ+7lFaj7+DnwGxrlcCySWMnttINshiLtyB+yOB+FDSsBpyRQUaW72Y+UCRi5YcB55nl0\/PRS5aGa837XcggKEMHgMR5aRkafv\/cBOC+9JExRczBvCSGbxVTlwU6MgQoz3IkHpwLaro+BIfWaqAvpH2PAee459Nx4C5o+8m8wamrEicbgOYXBySKUQAL+8qYigLAKQzaA4j0Po+PS38Bn7mE9i2NMWAhn6PvKSGPfc5G96QZUL1wIxGPCIfmOHkY8ZhU7\/OboMWJyEbJBycHMq1we3df+BX6+X6M\/BU87HOwKANsZAxVmuJ0RWqmugoEtYcB3XPRc8yfUHrcMxqRJon60qVqUQvxLb9JQUbelmrbvMzIsMkJh1l3t6Ln+WjQfexyMeELYXZhiY3SrAjfP+vTVTuisXo1SoQ+Jgw7gceBBWZbaPqRGVLijgdgOv6XeoWQhlM8tGQr2r\/D3O5GaMQXReQvE\/1fDXnTEtkPTlSp2EgxUQit2koEYCUYQmR3EnQ0vu9HywiYvjKxGfmkZSaOnpDbQZ\/Eq5EqqAAAgAElEQVRhUB\/PAwzUWWNUsFW3lACGhE8VTWEFIQxhY2HQ+WbbLuvu6GwtQ52gxKUUOWxmm75DLKmnB5lTGW6DJPWMktexGB4RNkbiGN7hVXjNZ6NPXSk9+YRkMEwceghc34Ul5zZqLeFfnk8pdYaICaRK9TLVt0L49JUQQD4LB7kcCr093Ed6rZLxhS9rD+RMTN9D79VXIXXAPojsuQSe7wY90vMstabhv7SdSVrGIC+x\/8JLqJo4DchkxM0kVPsKM9wUJAkwCQZQrHDs11ivCQo4R4cY1jAM23wVzi+f53mbgFOEt2oVvGwOdiIOIxGB+8pqDN70N9R8\/gL4liVnl\/KQ76H5t82NVwrubBioMMOdbUQCeHiq\/NCCCzjBMDEMCXDICJjNZHPcLCAt4avi7KAxbmxKiI+0RYcALvKxSNF4kKSUZQSRlny1w\/UJjMKAPTg8\/ZISxZaqNjzw7El9j4fcUnbx5LgwIUe+BTc4IDhkv1uqbvPPAtjli3j05CBivq+3FM7RjG6oPr4kHTGA3iy8V1+Gs2YDMJgTb0wzEgVSUVglE\/lbbkX69HfBs2k51HEsx7lU46uTjRUeyBzgaRhXjMvwBQ\/imRIwCD38V31dyFBHfwzhKMSfARL04VeCcTANlB5+BNaKdUi+533iSSnv0DlGGP5wibBu4sQPnW0AZF95CemF82Ve8YRTgkb0cNz0NNGwpH57MrdpheMEFWwHL4xsi0453vOvwFm\/Cobn6EHRAbtlUd\/05NRqa8okWHvMG9nIZn7pGtO+u488hr4rfg+3swt+Ko6IbyCe7UX2bw+g5uIfwZw4Ca7nBcyYUnA5\/jbTQOX2LoWBCjPcCYdL5QwlIQQvZIJCKyRZenh6OwlGyARDQjKSiITdCzfUfItEkSRA6JAUo1u8egOG74Xlxv9NRsXKTLhic3FgGtEyglvGMGCAE89BSU6hN\/lrDLBJu10SbWHkJOI8L5OEVS1QJPhCcKXd8UO66Zuk2ITehUEGS6ZL4iq9MWEK0qRhLToaVtr4CnkUrroWvXfdAaQjSNW2AHU18H0Ldn8WhVwv7GdWwIgC8flLAl9EZTFD9XtslxsVF3ZHD7B+A0qFAvzBIrw17XDXPI\/BQj+8QRfxQ45A+shDAF+2FUGwvozqWKgUuBnS4cJEpKsXWL8KpUIJpa5uGKtWwVnfBt\/JwbvtNsCzkZ0yCZkPfhBGTNWkKjEzKb9+QnUlNyo6XwG\/owvmyysRP+E4oCcLv20d+nv6kNxjIcxUJCw69M1wDDnyzbCE8YqUGST+H3opuPAG+9B1\/meQtCJw9pwDi3PY9OHK\/LXg2QaMggf7oL2RmLe7lHptKVLXgfvyS2j71jdRf\/opiBx2JIxMGnAcZH9xMaIL5iFy3HECn8UZLmNvKd8ePQ9GA135vUthoMIMd7bhCgivLlOS+rKP\/FB24A1JVSTawwRpxPtD9DskV3zTAMuS0XBxaz1U\/whVKWtsay99tRv5BjyT2VRs+D2d8Neth2\/aMNIpIBaHb9kw3CLc7gGYk1qBZGwIytEckb2yKU8Ihxa\/PmFPQ310S4Djw49GA5Xf1sIcvq99p+RZMj3YorwkgdZRCJ5uVkVHePxXXkH\/HX9H0zkfgb94IYw4NwIcK\/YCiMNH9lcXw6itBVIJmJTsyAUDFTVbInOnuwpKPvq\/8J8wN65FYeYkuCUHfn0rknOmIJmZDs\/3kJg7c1jSEq0Aa\/DgyAaBUgtbHcJU0FETRn8O2a98FehtQ6mmFsVEHNFps5CauzvcB++GvXBvJE87BZg5FW40IhId54yoQkdXxw3Nc0\/Df+ZFuN09cO76O2KPPI7OXBf8nCWMv7TfEsQWLYBJLj+qvMxK3nfzgBWH6audLhyV8m8zmUHmmENg1tch+YEPBJKq4k8r1lFiGRm3cezqqKmgNO1Foigt2gP2298BP5ESMAt33oXc+tVo+crXAEv1DtxIEK2UKO3RnSkHtnK9S2Kgwgx3smETulZGxkaTNJ+qmnweBiUGy4afScAwSURIsjb9qDQ58gl\/iRSXHQBWvYyuZ19E5qADEWltDWxJI9\/ftNYx7vgGaAGjREUG5jz5OLqu\/CO8+hqYloVBx4PvKcP0vCJiza1oes97YCIhIdpCcMuqVYcGC0bbegz86goUu9eDIpqRrIMfT8IyXeT7e5FcdjzS++5bhrGySsZ5SaJMvJu+IWEPpScfhd\/Rg8gRh4ojBbWAogoU1dimuOEY+aUSEvsvAfYnLK64jtjcYBjEC2CsWYPSs6+g7otfRIkqQ7E\/Bqq2YJD5JQeiRWzYE6sQPXUZ0oceoX2LRoW9sS4uWkpREhBPAm14ArvELxZL8Io5WOnMJr2nKlK0ifBQ8+kLYc7fA4hGANOWEIr2Z59EHWMeZ04VyZUMO5gpAkN5z0Opy3noMeSuvAappQtRXLMe1Zf8FGYmDSueRHRiM5BOqVdmgItyoLjJcVavQPs3f4D6j30YkUV7SvC+zOTyxliI4Q111YhPmqz996mCJTOjzZJoDoP+WVBtolJsC0yRvZOtZWMjSnWNcLp7EE2k4D\/6KLKX\/BYNnz4XfTffhNI\/n0Hq4ENlPhiGHcwFqb28O5XrXRwDOykz1EXIqcorUaXItB3GNu\/zM3rNBLc38+WLQwDrNcUIPuo12iKy\/bJ4zZqM2jtkobEVzcgRlqDqUveL4Z2R32Q26qSwNbYFMgtN02X09aB469\/grGuDR5HBdMXN3WvvQqmzG5GoDXfidFR\/4AxYdQ2KhzGQQYLpP\/8M8v94AMiX4JsOKIK4bZ3w1m1EhOanvfaCGU+KcBgSuZG9Ye8pPCrWSV82Yb1yL4iTg4Gu229F3fw9YZ9xCjkFjBJtOg7gMhenDT8Zh2dxm612mFCS0fEOtH4Ukp55DoX7HkDqw2cAVgSIxODZFizfQrq2Guac2crYt3ImDPdPWGGgJqaUbYuasOc\/\/gvVTz+DyEc+AjNBuU6zkVhkE6PmDtHuIip4hccAbUpSJMgeih1tiPgecnf8DbG9FsGsq4awR9YhBF1VpaqmVX8SwzTgtU5AqboOdjSmuA9sdiJMhsAHhJ5jQfjISL0nn0LvFX9A3be+BiRT4ZvyLVbhqhSsebNRNDzE4wlRVZMIFK69DjFuMoQRMsieTDbcolCdGU4uHSGfjjWGBbc2g+QJh6HfcRH77CdgHXQAqFjlh2\/qlBE9d3A3eBYwRz+ZgE+p8oWXESUzZCnZwfE9A87GdvhOEXZLA3rXrUPi4MMUkp5e9N5\/D1KHHw4zlhB1NNHB3DBDylwyS2F4\/MtPkAqPbRA4M8C9YYL2WdhRYGMbOn\/8E9S9\/3SUTB+lrjYk9lqA7OW\/R8PSpXDrawLV7k5KOoOeVr62HgM774hyssqMDTvlwwkYkLJITuTxMxplTLqQyQi9tg3w2zYi9+qrMDZ2wGjrQGnjBuQ7uhE7YRnqTj9NG+buFZ7YKBzDguV5gOcA2Sz8fFHyS6rNR+smESwO9MNorIVdUy89CMlI2BP91vd5rVfBAhVHAws9N9+O0jV\/Rt2yowGR\/IR2wpg+G6Upk2DW1wKxGKyqGsVSQECGiVZQr2Gi56prYfVkkV68RBgTmREmTIF70nREZk5HJp0RO5VSrpHQCjEJmCAJoGnaAbzDBIbw88PRoDKTMGR2X4BiZx9sSkYk\/LEoEFOCLZD5Bixxx+cGgPZKfivRpLqSDMM3bBh2DOZB+yP29pOCVkbOCkKhrGDo8WtcCLnVbVTQL3EmEUcPqos9RBctRPMvf4Le\/7sI+fM\/heS7T0Xs0EPgRJTBDY+XMkbBedSXcY+7LoxIBJZhIHvHHei6+SZknl8Hs7URVd\/+uhBnQ8h1wISJTd8f2pxRbccemkVHpD12RmZ6Ty9Kzz0Le9\/9BL9Ub1OSDZ1AWEqUsnEbxvIXgWz\/JswwcFOB4bhaVspE4L76Kvp+8xs41WnEV69EdPJUaZPSFtcYIRC4xANVt4DcZJmw4GZzKFx5LRIf+SiStK1RDl6\/Hn1\/+jPSxx4Pa\/p0mVaUvAVGmeY+jFIJXm8fLMNCfPF8GBvXw+vrg5FKB3Y54sdA\/rHHMPB\/F6Hlh99F3LZgp9MyvkZvH\/J\/+CMS++4NO56Am89j8L4HEF+6BEZNtUjObFDwFGyqnTJG6XtFmCUfRiwG1zQQo8i9cS06fvtbpI46AtbRx8AsFhFfshfy11wNe0qTaGEo7bMvwSJ4jblWebwrYWAnZYYkb6q6InmVBemTIalEQruIzWshHCOJ99jI58tKNklkBq6+Evl7\/g47lobLOKqaGkSbWpHab19UNTTBnD5VDObcgrIJZbkkYfIDZnsX+j71JZiWCaehGpbDAF06MpDYG8hX1SF59hmI1DboVn8MGZIETokDYQtlTO03+1AsOLCOPRrW+5mqa3jtsUy87DdpT7g2R\/edLYijXyqB2HtOgbXbSC+7cAfNOodbHlkLNx5h9hF6A5ZWvwrDisCcMHHoRR2BkJmTWBgwmppRWL8eCSpPfRveYF76C9rSaLMU4sjUXQGTH6pNf9OhX4g7GVDgGjnUn6A82xVGqB0oq2Hzl5xXQp3DHKBuCc66dTDWb0RhzRrkOtbByxURmz0XNf\/xdeRuvxndl\/8WyQfuRdV558Gvq1dcCSNSCNia0ToR+d4BVHV2wmxplQGzJ0zClAs+g4HzPwdz0RxYdfUaqmCIMlQHjiTfAEpr16H46KNI7rM30NICzwJMbrykjwbQ3on+a69F9d77wLDKbcnsPMMkdA65rS1wmmp0w1aGBm4GvUIBlm2K9ARLWDiMYhEbr7oayUMOhv\/k46DmAZOnBvZRfWd4C8M0a71wc3nEWlpgFAswHrgf8UWLkDz13fBM9RcduPM+FH\/9GzitE4UZqhcx+0JYKXH66Ln1ZrgPPIxYfR2sO+6Fm4ijb7e5SB95xNB643in9tsfeOB+9F\/0M\/jVGbhOUWqxaql+jyGyah1Q3wTzlZVo\/9EPMeHSXwCoEkYqXqfrVmDwpXXwp09GbNo02a5R1VnoH0D3ZVei8ZjDYczdDem+LArf+i6sRQsQP\/10lOAiEo2i9OILyF15HWq\/8Xl40bhs2OgUpeNShuDK5S6PgZ2QGdIaQnUHYOZ6YZIqpDPwZbHzLkRFpju+rcG\/kFb0334L+h5\/CM1f\/DLMlmaRrgKqJJVxudKJQTR4Agl3\/yR69GoMVGSROKxkDNELPoHkxBYYwi28gGn4SCbSQCIeEF0h18KwRkAr20vd2avGSJkIV7owl7gJr6iLTjGihJd\/CZ84O1LrI5lLWEZKaR+GJB4Dfk833P4exJsnyDPdEvjw1qxF\/203IzFnNqL7HwyHTiOhY2o5oJQGqDLjxzSQve12JDLViJxyqmCHBC6Uz4kGw6eiygQKeUSEOJpAqYT2y3+HqgP3RWL+fNnoiHei78MxfVh0ZAgIJaUdqTOExfThWYUAIgMOQenpRO+ddyJmmEgdcij82roxthtBkTG\/lDCbho1iZwfWX3s1UgaQaZmBmsV7wbdMmNEY3HQVkiefhuTRb0f3eR9B\/\/U3If2B90IlDLJVE15HO7q+9z1U77s\/UtQ5d2yER2YIIDl3d3gvPgunr4jaY48Jemih8OqL6H\/oIWqPYU+ajKqDD4LhlFC87z6U7r8fNd\/+JtxIGn5pQDY+MrK+h1jJ0bMPh2ITg865HoyuLpQG+uHf+w9Y2T54qSBYnhOaDNUw0HffA3BffAXREuBSZQ1g4PbbELVNRDjfrAjic2bJNq20YT0KTz2DYtt62bBEZs5A+sCDMPDkk+j94w1omTkTpUgJxRdeRc0H\/w2IRlX+8n3E37EMWPsyvN6s9Jk5PgUGWEOalPSixTD22gtWphYd2TzsyS2oOvhtZTujQFNQW4X0V76MgfM+gdTNd8I+4igYEyfBqE6j5rAD0PuTn8A85lBE73gEzRMmw25o0Y10Xw\/aLv0NvI4NSDQ0I5aMwpw2Q+es7yNSVYPM\/Dno\/J8foeGLX4H3xLOIejYyn\/wUPIszWhHn9HbBq65Cob0P0ckDQCKhG4Xh5SZ9q\/zZ9TGwEzJDlcaoXsvd\/SB6fvQT1J9wAuJnfwBePK4GdnEY4LoJyfBrDQRZhUpikcYGxOrqYba2wKc9RlRUumdlHBHVW+KuL4Z5c4jBifVBpAEAkQiM1jp4zQ2wa+uCZVPOUrn4SXDDRcWFNXL1iFTrFgGD8WZkpKTyVJfpe\/QYVCYc9M0Hcg\/djeIt\/0B88RLE3r5MatTXh+tmS8JPAsnKLxYQ8W1h+iJZkW16PjovuwLRmgR6r7ga6ZyD2FFHhAaekchkA\/S4E\/cYG3bORSRWlHeo1hRJi82L\/Yswa\/hDYeWriDQ2Sb\/9vh4UXlkO6\/gjhWkPPPUEIqkkIjPnqPQXMj4Nn5P2THI9pwDfjqj9SlpST8\/SwACMbA59V\/wJyclTYS6tGwnzFn4JqIGakjg2G5ow9bxPCTEvL8bRI4MmPr3SAIp2AtVLF4r6jcxb2bcFz3WRmjoV\/ddeDzTWwO\/skXGhMOs\/\/zx6P\/cVJN53GjBtjvJ\/w4fT0Q3f9eE31gPVVHP7MKdOQe1Xv4L28z4G58EHJZWZ15crA8mEXaA9U2GSERe8mci\/8Bx6fvUrpCZPgPXIP1E1ax6MdJWUFSk82BxVLV2A9jtvRumV1YjvvxTx1WuRu\/5GNHzlSyJ9FwtAz9V\/QPWZZyJ37z1w2tthzZkDD0X4qSrRftTsfwBqZsxC\/7K3A41NME46CoNGCWqdJEAGrKKHgRfWoO6YY3XWG6JTEYE89AKwJ08e6luJG8tMSlSWMu8F6+whTRSOqJ1Tnz8fA3c9jMHLrkLywANkXkTefQqi0ThKK1cgv+I5VJ34TpGQHa5pO4bq45Yh3toKJ5XWzVKwDEVSNT2kjjgS5qo16Hv\/ufAiJcQv\/hn8FNWw9BtVmBN77QdcWIvc769A4eGHUHPBJzV2dNgyOdSPysWujYGdiBmGDEPVRkRr7MB90ZzLo\/+Gm5D7xmrUfvLjQDN33bQnCTkYN\/aFaMNHbNFC9N94GwZXr0Z05ixhksWnn0ApO4DEfvup92DA3shUwh2i2BzNgPnS1kU7V6DGIhCltrVwNrYhvoAEkzKDum1TzSoEKWCHyj4MlNatQ\/bue1B\/6mngznnIXhbKeOQrrkpklLS8Uh59q9Yhk0khf9\/diCw7ElZk09gtwuI7Dty+LCK19TBtQkLmrGpcocgGUP2uYxHbfR7y3\/4BCsufR+KoI8JeK4MrY98k\/fQs9AZzsPp74Pa0w+3Jwqwm4RgeB2ERzGXZ14P+9etQu2ixjo\/vIzrowHCY53EA2auvRGavfRCdOQf9992D4rMvIFIswZ6zGxKHHyKkCE4fOi+9HKlsL+yItiMSJ\/ciE6cgPbkVmDcF5h7zhkjn+CaDZl7hGAm5NU0JpjY3rIe7sQOF7g6UXBexWXMQmzJZujd47Q2IzZgCcwHTcbEcx5axji6MpkbEP\/4JDPZ8G\/599yPX1YOM78G57XaU3nMuUnvvDmvOTHTeeBOqD9gPVk01knvtjdTe+wyBy3nkeyUglULVySej\/9eXIZpKwj9imbwjK8MvwS8yN+YwM9S55MOqb0Tth89GfPoMuDfdjOKzr8C2bAnBGGqEW7PqejTMXYCub34PiWOPQffdjyFz8IHwmhphZbNIzpqJdffeg0zJQdWJJ8HkRqTsw4w5VFlnb78d9ofORGxDLwZ\/chmM735d3uKWiTO\/8MdrEOtqlzCOgTvvwmAhh\/isuUjOmqFzK8jkowYQA+mjjoSdCdxufF07svIMmkYY5+kDs+YiddnP0H3175EY6IVRXQ8\/Hkfy1FOl7Q7HQz6WBmcKGa6RiCI+a7YwYLF5yDTVsQt181zfiaOPxuB\/\/jfSnzkbmKr2TXmrrw\/o6QEGC0h4wIDhwGzgxiVcTyG9KkNQ5XKXxsAOZ4a6tHVi+fksBu9+GM6LzwtSB\/O98PeYj+af\/xh9V\/wW6\/\/nx2j9+jdgRO1ABTk+3EvcEWc+t+sijFmIxBJCDP3iAPr\/chO8x55C6lfz4FXVBc5sIZE3JPs+F67X1w4rUy+enYYpUUcCAN\/0778fudvvRfLHPwokM7GOCDFlHx267fNF14XT1o78NdfB37gWg\/vvj0hTE6wYLYEGSh3t8Pv7YFk2MKgSGBe3GYmjYfG+6Hjof1Fz9JEwIxG4g3k4q9fCJHOmA2B1GrHWZmFc3b+7AtF0GlXHHi\/ReozHEwIjQpyP2O4L4D3wIAaeXo66b35NGaEEUNOIx\/9JEoJvp4C2n16M3Ib1qPrH\/YjWN8Ohl2RNVWBDoWBowOzowIZv\/xe89Wthb+iCfcp7dIAyVUjU1KPj3\/8DbmsTkrc\/gNjCpfLMGyjBmDpRVJ1+fYNKhZS84hnUHXU0ek86Dal3HBPgWZMnU\/oodGWR680iev2tSJ+4TKR8Uj5uPLb8Cbc3ggjQc7P9\/vvh3ng9ahtb4ccjMK0EzKlqN\/Mfewz9t92O+u\/8p7iMCGGWrDck2pQeiFcgucc8DFz0G5jPvgjjRA\/u1dfC7HkFuQkHw\/7bHYjQkSRO5qLSkzIy1VcYJkfYQsn3ETv2aDhPPIbeex5A80fPU5U9QY0AuWgMGccRD1ORECV0z0SkqRFoapAxc6dOlnhOwiREvQwfbNM88kikzvkYCtfdBOy9GPFT3o32v\/8dA7\/5Lerrm9DyvjNgpVJSl0jGtDUydtH3xdkle9XvUdqwFlXnXwCUBpGY3oLIngvUDBugnrGAfjIK566\/wauqgpmshrU7s9KEH70KtpbI7LkofAAzsA8r\/KYqR4KCxgF7o26vRYBNssWbrmYlMkyk33kCnLZO0RxZQcackF3ZUj6MqdXtBB2CqAFif8yPnoHIR88dik8sblyH9f\/vIqQ6OlETodczkDxofyRPfKfQHddg0ouRipuhDlQudlkM7GBmyOmqxISTu7CxE9nVK9Awfw9YkRhSEQuYMgkwGWMVR3LWHMAm4aDYpMslWCdbHACx9ckiM+F0bBAXf6uxUU4LsKJJVJ91FjY+\/0X42TxQ5Yu9y+\/sljr9WASQ0AUTndf+GYnmFqQPOwowNCN\/2LDZW0Bq2iSFS42A4SNRS1LtO\/DwI8jdeiv8QgmRO\/4Ba9pktP\/5OtS\/851ITJkiXTJ6etD1858Cu80GosmgDrUnUtrz12+E1dQq75IhtV93HSKDebhFA5ElC1F34jIY0Qjq3\/VutP\/gR4g89wpixKMdSpm683ZuuQ19X\/0maj9zLkx6k65fBz+WhFlTHTAUJdcO5TTDRN3bDkVdbQLZqgz8yRMRnzULjqcxbwSGo+gmEkjNm4vEO45D7ue\/hPnYM8CU6cKoqi44F9UvrIFXVwN3n73Q99wLqHZcVB0VuMoHM4H1iMKYvkqzZiN2wUeRK3h0RFXyLqpUF8mT3oH00qXo+u\/vI7rPIkSnThs3deKcCWcdvUfrFyyCP3c+InXVAaFVtNN+1\/nD\/0bt6WfAnjELbqBuDAZFIZINBBCh3e\/AxTAGchK3V1y8ELGfX4z0u0+EWVUlXrGqJw3B1JkrW47A65EZcFzbQuzzn0bTuX1AXZNsbLg7cydORuZzn4QRi4gCngxUVfeccgy292G7JqLz5sNdoP0bvTFgSjO\/uRmxD38Q\/b+4BA1nngXfjqJ2ryWomTkHVmsTwDAFxoOK5xW9Z8nyGRdpIX\/bzcgvfxpNn\/qseAf7sSgS55wbmCDUDkukWO88EVVHHw0zEUNMGJf0vBxt234djQ6VZbYgWWq+K1oOa3f1zOULupULeCYhpOo0UOuLAcOwUbr\/Xgw8+hhafvR9SY\/HHSXt45GqWkz88AfFs9VKpGHYFvxkMlCPqs\/CCBPGEESVi10ZAzuYGZIgcNqSvflC0Fo+9CEhVPpECWP\/7y5DceMq1J\/76YCSqN1Lucdro993fLRfeinqjzoYbv8AbNOAH2WIgO48c3+5XtRiRlMT\/O5erL\/8MrhtbbIwkofsg9qjTxACVH\/UMdjwvW8iPmmSEHg9xVvb9y1Kb6pWGk2EGCcoXqmpGFLHHYPkzDkYGOxB6tQzUbt4T8nYQvJFRaY9bTqSmRoMPPAQ7MOPlso1ystHdPFC1H75i+i67FI0tDQhNnEKJp3\/SSXtpO4WySKP0fFgTGhFw+cvQOc5ZyM6YSZiseSQFEOcF199GcVJjVjzxBMw\/\/m4qLci8+ah8dRThXALKxTib8BgBpnF8yXYOXHyu2AEBI7bYw39NkVyQCqJ6rM\/JDCXnnoc\/Q8\/iKp3nqAIqm6CsXejKJnMSRORWrpB3PUJtrircx4IJ1QPIo3TA5JnvR9xOSg9lFUNkVAofudeegZudQYRhrAEjGo07rXx0X+DuDlKTVR311apS4rQ0mDLv3Ylsj\/8Ieo\/8UlE6GnJ3Jgm5+MQmZVK2a441NQ3oOqX\/ysp6Ap334OBjWuQ+uJXYMSTcOmeJNxX7cKjoWF4BOci82GKQ1S0CkZjlUghBJEnCvrRJOxpM8SSGSSuCSm9fNOPk8oPOsEw57Sy2lEtMUSnrR2dV\/4ONWe\/F+bECcLgzepaGNW1auOmYkDGlXX4MCVuyEThocfRdftdaD3\/E0B9LTym0vMYgM6ZG4Z5EBQPpunBy5B5DONKxnZMoEbBuDU\/AyLBoWcKPapURWQbow51wOMgENMW\/K5udF92ORo\/dDaMpgk6fxgGxDFIJGHPmEkluPyjQpyjTFux1CNhQHTjDv2xx2iwcmuXw8AOZobEFwkBJ6iJ3MMPIfu32xGZNRteqQB0dCPdMgm5Z59F\/Wc\/A6TTQYYKf4gwvRbGOf2NiI1YRzf6LvkNMqecDDeiC51TufTnP6H44EOo++8fwmM2DsdG3fHLYDXUyWS3EillMFRkTZ6CqoV7o3jrLTCtwREqOa5Dj+nBxvioYs5AbLFDKYwAACAASURBVN4CkXp4EkARJqLJtNh2hFB4zPrEwF8bqX32h\/vtSxA76AhhwrL7zeXhbdyIWCKB2EAeRnuH2E\/pYCI8JJR2pMNMLuDAam5B\/f\/+FH6JNlbN8SngGR6SH\/4Q4medBa8\/D0TZuAWDNiIrIrvt0JGHqiQRqunQ45tIzp4j7ZENcjshhFBIL73\/OJr6iRxyFLBibWCuYVlim089kSqi06bClfhN2jOVkEusYVhDIHFx7EzuMcijHBfO2lUYfOF55B58HH7ERcPZHwaqM0LMxk9rgzeHCoSeOwTFh1F00fOzXyJ+7DJhhJreixKBZj0ZPcT0whWpoqoObttGdNx4PZrf90FJZMDuUm2nHeC8G2q0rJqA0Q9lEVJVNcMluNkgIyUTZpynbg+V2bEU\/9dk15zoGgOnLQy3IxsF\/nRddF1xJVKLliK6937ijMNREWdomTccYhJ+oiGE2RCcd135OzR8+P0wWydKeIhsCuRdqSHoC8vQ6Yw1hP8CaOQen2\/fj1RrWLAlibZAPmYD4RoU27xTRPflv0R88QJYhx8mc1T0TcLsFN+sRKAVxkc0K6lkb5RijT2SYzZeublLYGCHMkNZLvwTfKyGeiSZ8Z56jHRGHBZyt9+FzP6HwqpphCuxfEGSXE5KpQVh8bG\/RTUC1Hz8HHR88UIU77kTlp0WRue\/8CK6\/\/27SH3oDAw89zSM9TWIz1+AyKzdApIl5EaZdSAlpQ8\/HD0fOgeZxjr452l2EFkgVDVWDY4Jg4YmkFkYKFGdZRiIHvQ2+AmWpy2DXqyq8mHD5vy5cCkJRGlHVGG4uG4N2n58EZBtQ9W+b4MxezchN0oMlPYIMyFOhCmxPg\/GpMnSF5WcAqlHJJAIzDT\/pbUe+UthhH1WJicer4HNiMpVlWAU8eFv8cxjgwEg3Eu7vgl7\/nxYCxhGETqsBASfr5JD+CQvaj\/jNYmUSHUcVOn0MNmXKULv4rWr0HXNNaiqb0TVCcchPn8+EOEUZhab8RNaSiyiMmNTBhBhA2QqQQLwwp23wqlKo\/rMs8SOJPYlcewgYMHLCqXALF61hiVxdz2\/\/DWqDz4Y9u5zBZeUspSRbVI0qIFfgWQtXdcBlDklT7RfGrZCTQaxFyZq1yqCbojdVnwgR4IoL5F05++5G6WO9ag798Oy\/WSiaxkV8Y5V7QzHU+CV8YTEIfZc9hvULDta7cwyHyzdCMlYkgFTFCVWZXsTJFEgjmnOYBvjH5sypIz7UnBFcTjQkpaZSUfVofPf7e6Ek6lH3XveLZsNrk+R+uldHBIVYYzcFGhMrLJAThOdxzIeo2qv\/Ny1MWD4SiV3XC\/ChRt+B5DwJ4pFdP3Hv6Pm3I\/BmjRZvONIDIQA87kQjy2Dzu6RKZimhdLNN6LnY59C\/IwPIPONL8Ntb0PhtrvQ6\/SjmC8gMm0aWo88UoLKWatIZAFRIDy+R8mghIGLLpYYqqovXAjf1ABonzFVngOjpnaExKjQcZUq5yZpkIqlAXU84UKjXU7aIAEsldD952uQWrIPIjOmi22TcYVGLge\/WIRZW8cD2Ia7L7iTmqU5JaT6lzcUTUMsTtpRoq5MSdkOmVEAJ5e8ghsgIaxF2xiBfylCAqHEXi1Hwx7BocOJ2Gk2xw+kjgBK6YuSnvIeiEqakrfribMRX5OPnHzATvJtrSN8tLlvbYJ9Kd\/d00NY5Qe\/vQ1mJgMkkuoxLL5X5XWXX8vEkPb7\/3AVimvXoPaTn5az78gCAoxtEbIQHoVXYRjRQjgsQQ9HQ17ezwB9wS3KlQTCAAb70fWt7yBz8smILl6s8YpB8L+2NXJsuUGjtiZ\/+9+Qe+hh1H\/hQnjBXGeVUiYchBHASoNDkOqvcjzzzhv3Gdn\/4XbK7\/seVZxk4NwB6UZK53uAaFkHYRfCtRCO5HCd451v5SUq1zsvBnaoZChoCRcSbQ8iffEud3AmCi8+j0IyDatlgixqMowRZfTXFv+qDYkExkXkiCNR9bWvAlMmC0MwGxuRPONUhG4qrCjITazzXGALvEO4QKgW8k2kzvuoqKyoSZJ14wNOdUbsTmKv22RrGnIW7drQIgpuU6oZ6rsPlGwbtaecJrYiz3NgM5cn7Y4ZZtbgJ4xj5K+QyY4kOPqe\/g0RJEyMuTMDKdcX4xJxHZLXYTiHSo7oS9DG0MOweb0R0sYyh8CASYVS3lDPQ5D0e7jZoRfC3oRNMf5TckdavuRoFcU6TxOgKtF3xA40stLN\/9I6wxbC9wLPRUqoTc16M5RW5VcISfh+2bdhSpLnvrVr0Xj6GcIIwwQNo1spKzV0GcIT3tikpXL8CMo3eSMsOorpsnXdmORXrIY7ay5iC5gMm5XoWhpmvQGkrJrPuTEoDKLv\/rtRSy9KMkI61pQP7mbBCB\/od\/hrCMg38GJzbZXfl8T27KLudsMlFE7msu\/yy\/GM5BvYsUrVbzgGdrxkOEYXuZ+l6qKwegXyPV2oXbhE1mf5hB6j2GZvCZEW9d8wVZE9s6h5hu+xfqETJClSSBcDKxb6IHDxXD1b2BEJiS1qFJ5SQLWfMjVlwJsFZ8wHygz1zD6+oFKFvhr2W3b5wTPuaJn42h8sgIH1XrEEFHLwBwbgDAzA58kWg3mYDOXIFZEfGECpWJRMJxbvGSYaTnoXIhNbxX1JVLlhQ2NCuOWbii5Kmi78ggMUStIWmTmpDXfe\/Ga\/qJJSkSXQrrquwpsbQCmXhz+YB\/IFwC0J\/IMDeRRzObilkuzkTfaVrvGZKqQP3h\/RGTODml9HB7bcvS0+FStbieMwCD9VrTlXDcpVOwYeAVYIPdWWBlzPlDybIgjFosGc1S7JxmjEhkeZBPMAO6tWoeu2m9B65vvgx2JiRwz3o1tESOVhBQO7IAZ2SmZIxiA5K4P8iXR\/D3ey24pjZXLbWnq43Oh6RP3nlESlK5JWLD6GmnS4\/JaufJ7osHE9St1ZTZdFtSBxQaeWfA7eqtXi5eqXCuJM4rou8q6LQpACLZ6MI5lMwDIjkr+SSbXBEx54jmAmiRLP0mOmD1s9ThNTZ8NMJnVnLM4hW4LutZ6pGonSRPf3fgTnb3+D39SMgYVz1JLE5OBkhxSlZVdOBql2VNLtWCKODLUA9Fy16cxjijTM\/JNmLAYvk4JblYERT0joiO\/m4C1\/BZgyDVUHvL4jnASg1\/UnUAKL34uqm8Vh6XXV+foKEyJu1siOqe3gteSMDTaavEO7l8qHm7bF3JxmoSgJHMxUZtimu+mrlTsVDLwlMLBTMkMVw1xJ\/EvaqRvXbd9lU3Xp9PYAA3lYhUFxdAAz5Ld3otTZicJArwSwe3LeniRjk\/ABy7Jg0jYXVU9I2h0p9ZF4k2Fz313ID6BEiSXrIHrYfqg55HB5ti3SISW6rkt+gXhvFqV0Eh7dFD1Nb0aPQa+uFtXTpyNSVwMrEteTIHgETiwKP2LDiESBiCbCDmfnaObN++E9lY5JvGmvVKktLLf133TAoAbXh\/nccmDFKolpw24zh6uSF4Z\/CiCBqhNMpGDbYPzc5kl0WdngkvZgSdy+I+WwwMmIGWl4QK0wGJmu2z5nN+3p1t1RZkgBmpOVWk+9U2420NMzxq7X47FbdHEK5rs4PVXEwrGRVbn7lsDATskMlVirBKGeHCH53jace8UiNnz7u\/DuuQfmXkvgGlHEYw7SsQzsdEYzbtArkfYQ\/nN9eK4DnwmQS66o6hgOQaoixEH0TWrHY+YPZ7fpsNI1sBprYSWrtlkyZJvG4CAMZqOx9MDeremx8hoNcaAesrBuJcx0HSLV1WLbVBGwvMbAYYC3RGJ7fcQ75HWbkzbKWx59raNNmyzztNowie\/NqRpHTYfQ4jm6zjfrt4KjPWCb6pgzCsg3C5gR7ShMConIhkMuQ4KzIS+pEYWCH+KzKhKl3nh9c2OsFrbHPembdlOm9\/aos1LHvyYGdkpmuP2HwgPWbQCyvcDkCfCsuCT\/BaUSUSdtuUUS+W0h8Fuu9Q14KkSBzIQM3UHnN76PqlNORmyP3bZZWn0DoByzSpJekltn1Wrkn3oGmeOZ5Uel9DELVG7+y2NAFfNEA2eOsvxwK\/Ivj5wKArYaA7sEjd\/qXpUVoJaI6k9vQiv8ubvDTaXAM\/X04IJAhRS+L8yE9\/S+rC+WX7savX+7Dc5ALlCRkj1SSaqxWSwmDjAstyM\/9PsRnbIh9h4734NYbVrUl9uitn0zu0JfPbJDqzSI4g23wigwH8\/OKY28mXiptLV5DOj84BzRGMcdrSHYPKSVJ7sCBt7yzJC8gTYxhhXwpD3mMzQZLxjwLS4l3VfSwSDYa0r2Ew2GZ8C1c+nlKD7+BHiIhNanORvpLch\/UgfLCCPaccNOFs2zFaU\/\/f1Ab99Qyihh1jsOtHG0rBsLs6kBbtRDccXqcZSpvFLBABcyZ7wm79\/553llxHZWDLzlmaEgXjgYs9QH64a5E+k0IgxMh0YcdSTkLgyrGJZLnJ5eNMydi1giqdoYCacYKT3uDAOsZr9A3bhyJbzsgKSwC5n1zgDjZmHwmQbLhx9PI8KwkDWrNvtq5UEFA8SAbJ84Z4oFOF3tGhspQU8V\/FQwsPUY+JdghsIMJOUUbX\/yS2yA7Dx\/yUdFPpUOhTNSEapyX\/yEY9D+l78Ekhbf1gRTEjun1WkVWtMO+8uwBfUaBMzVa2HxbMF4dLiPOwyy125YU3qZcO+8G97Tr8KePe21C72ON1QHQEW3qgj4d\/hq6Mc2tyD1BakAKa1o3RJ7IZXzHiV5kWT04fjaCvZghHb4P4VXqpGGpWJpk23ou2H\/xtfMWG9J1WEjdHSioUBMAwRKcRlaGEaXV7D4N8CB9GP4blitAK23tU7iTn7LG2V9pmqUeXNNOFdfh+x\/flePVaocujsa9ZXf48TAvwQzFFwI1wtZX\/i9KZaoTtV\/PE1BCYi9YBGiff1Ad0dA1JQDbr6WTet9c+6QYOiQGsUiwFM0eC7iLvAhYSM+ndvuRGKveTCmznj91HuMfod0VrZBmgmgLO0QC4SMS4nvGFWM65bWwgnEehh0wUuNrZSOSS5UtfHydHdlKq9dNWMDqe5nvQJhENuojDFgSNIHtqnxuqw12N+9dgNbeCOMW1TcCaqCt2mL0K2l4ndT3HFsiQqm1WMfSlTABIxO3w5LqrmC70g7skkNOhBsXvkm+8b\/8rfdgtx3foAk42WtEL9b6ETlUQUDm8HArkEpNwP8G3I71JIGlXOJ+11ZeLlBSQodrlGhRPLjDYFiGystU+1OnIjSAftt9kibbWzgDSsWorJQKsHYbYYcZ8Wk08M92j5Nk6DLh\/xE8tz6clKDbiJIYi3hVSS0r6dtVVmrHoIHK9tev8SMqtHZhDGQBdasQ9EBIvPnwmSM6Dg+jBu0DKr5NScueVA4JwVeJmAoFuBGLPhy3Ae7MzLL0jiaGfuVIBRD2RalMnK1QQw++wK8nqychRmdM0OOrdq0AmWClm\/B7doI5vI1ps\/WEyPIJQOmx7rZH\/7T8dGaaNYIGTrHkCeB5G\/\/K\/L\/uB\/JYw6FtWiBvCjhlP86W\/xN0Vy5s80YqDDD0agLViMXo+QpJXN88iEYA0U5SYOvhwt2dNEd\/VuthaTyDiJ77436vRa\/TpL+5vVIceohceq7YE1uCVnWGwCAIafH68TXJO4G08HZtCiTilKxGLpFbWPzIrUZMNasRM\/Fv4S\/oRd2nEpFOnkAhsv8qgPI9+fhLFyElt1nA3oU5hYbVAbNeWkChQH4a9fCW7cO+ZUbUOjphNXXB7OrA25vFvb7P4L4gXuJ9CTMcos1b8VD2USoIOj0tKPv4ksxMFiExNuuXIm6eQtQddYZY1bI1A5kcPmHHof31LOIfO7TIiWGmhhyQJPnRna0wx8swmyuB6IJYY0hI5SKeXJHbhDtN92Dlne+A7kb\/oLaKVPlkTDQMVuv3KxgYMsYqDDD0fiRTTSVWkxwbML1fOSvvAXxWXPhVFfJ0TVcmJJKTPavoyvYcb+5Y1aGaAExZg+JbY9Y+jelQ6HEFpXUamxSmdIb1rgcOWTC4fmD3\/oW6o88ApETTxJGSBUdM6rK4hA1JwWXrWAphmbz6b34V3AG+lF1zvsQYUo8JlJAgZnYYWZSqK6tAVJpybwzvn7qCFMi67\/st+j9+31INzUiNrUVfkMNzLp6mPvvh3R9HfzJkyX7zPCRRIG4VdYQ1ZRhv4bUtENnKpa9GF4KCjRvMMsNbuxEf2cWk7\/2BSCRRvHJx9F31dV60odkEtKCijke6cR1A1iFPMxiv6wei6fLB5uPgYceRPamm+EmIojatag7452wWphGn1slERWlPH+ZsQiaP342rHgKTmcnwLNI+VGRXK8rfysY2AoMVJjhaGSViX1cV6bhIXb+B1EqOrBcPQSXKp3Xo0Ib3eR2+y1qrCBLjhCQMJfdVhDy7QbMVlYkhFKPseKJD1vDe7aupcCrWOx3gFVTj9oDD0X\/H\/8M85HHUHXGWfBmzUIkYgs7Zt1bjz2dRG7UhL3XwYguWSqjwXr4LyDtArZel6tktSy3NbIh069AHUHJ6v+z9x3wdlTV+t+0089t57b03gihJSQgTSnSRBDpKoKgWAARRZ767PJ\/8lRsiICiKI8iRUSQ3juEkBAgQEII6aTcds69554y5f\/71p45t+QmXNKBmfxyz5Q9u6yZWd9eZa8FCWRefnsphvzwG9DHThXbsMp8qSjBW0S974OPTJH6gxwL9doCUOQpyYM5QOg1uvwILbjcCBriI4bD+9RxcA1L8kN2P\/YoomPHVtKLuZS4S0WBOgkEEbFU3k5osP1YteypWlTjQosmUXfUUdDHjgJsF153GV6pLMm5JRyclNWgMUi97iEyZjw8uyDxapHn9EUBJjsZkE2dDP+GFHh3CoRg2J9G8rXLIgzhXMw9ENn\/QNCio2bPUqD\/XTvHsUi1qn8KrHfivvanmM+spccBI97C7lcYYsD4hUn605jAjGZZiJ5yIiJHHozSTbdi7S9+i3JSR92YcYiecSY8xoElqATg1L\/fAm4ECbJ0P1OFbwOLzZyF4mtvyp0Mwk71n15fB422PEF7dkxJ80rbEByxEYVkql2m3fINYfSeXLMGXjoGfewUuJblxx\/lzI3qXXrUcHA9OSV7Jm6qNrku49BQXrIUzgvPw\/B0lDs7UNA81JxyKjQuI+q3ibwrkrIGg57LiQRSs2YIQOav\/QsKL72Cpl\/8r3jKdN37ALrmPIU8g1w4OvRIDE0nHA9j6FBorgODyhdutH9Sn+GZiI4fgdw\/\/omuBx9E3nRQXduMhpNPghdJi6IgmCApr2k\/BqwZQ3L3acjedxeqZu4uQd2lXvFuVXTgqH3rrWoz\/BtSYAAKhGA4AFH6nlIcubdKqe\/18GhnpUAFS7lDbCH2lAvonjsHekcnulavQfGtxUjsNQPVxx6D6DnnoPGEFtiLXkfX7f+BffUfkL74u76npFqkMJCcqABIhy1JmgkUPutNJ6EXupQ05djo+su1qP7i2bDr64HOVhhGHFosJt7LVLtzC0CPR0yMzHRXjgeYOuFWqV+dhW9Aq6oBLKrB1RIDuGUUXlqA6JhxQE3Kl0H7PRkBSTUCBjdX4dmBbkb+YQLsTB2S6SrYq9fCGjOqokLtXYuCUxKUC49ouyyi6+q\/Ij\/nBTR+\/7tw6zKAXQLTblUffgTqR40GmI2FW32d+vVIn7Ls015oMCCG7sFZ2woXBoaeciqcdBpaVUKNkXZEnS17DB3uh+nzgPVrUXzpFRRWrIW7arkE4mdbTrkALVUlCb15T6g5VWQP\/26aAiEYbpo+lau91UiVk+HO+4YCipWqrBr2m0tgFguIDRsJfewwmOk6Ube5TBeVycDK7IfkyrXIP\/iQkrQEzirQuuGYPVOELdMpofjyK9CGDIHRNESte\/N8pl8uI7F0FTy7DLNcQvaH\/4PEgQfAPPaTIjnaAgO6xIn3YVFQi63SA7O4YB6suiZgyFDg7eVIjlAOIwJpXG5RLCP7p2vQcN5X4dXsogC4f0\/7DMGD7bkor1yJeK4dejSG7rfXYH1nO2pKJVSPHS2akL7vPdW0yqtTlM0dOWR\/cSnszjwafvlzoL5e2nVNC3UnHCvLSQLHTo4psEs6uolSVxFJnqNdXmO2Dw3WqNGo+8IYUU8r3QwnIJwCMGqUmpMU3ngZ5Rv+CW3JUnhPvQTzrRdhHXQYrL32Qv5Xv0Z761qUhw\/FkHPPQ4QTBmYaDTQN\/ekRHocU6EWBEAx7ESPc\/YBTgF6exTJiw0dBW7kWXYsWobzyLaC6EfboMTBrYsLMi3f9Gx03XYfab18siZyZrIupmShNkUn3wRSfZCJ1GgYKr76Otiv+jPrTTgTKDrS8LxUx52VLK7RyCejIwrjsKhgTpygVKhyReJiQ2W7PKhAsdKO4+C04VVVIzNgL+dmz4b28ALWXXIL8unWonjFdtRykZsp1wVzfDkQ2vkRDgay6japfAlA5lYZb3yDpwFLjJyA9YRy0mmqVrSLQS1ZeCzrBKMshZbviHbeAnrgZAqEZhZNthbN0GbRME6whTUp1rFGd6UvVBD7PQ2zGHnDrUhJMnsHyTVdBn7gHib1Y5OLA8imBJCj\/0gEH0QT08WMQHTcexmFHw0t6cD0DLicZho4h4yfAHTYcWjIptFVPrDKAcCekwEYpEILhRkkTXnjfU4DM03emUGY0HZ0L3kDXLbejbvI4xIcMgTVrb8RGDINeUwNv1UrkrrwWpSVvoP4HP4A+bQ9RUeq01+kuTP4OgIRUcYpi1NNRe9ppSI8dj\/a\/\/R2xhW8gMp3LGwAvlUZp8gQUv3MJ4tVxGMhBGzXCJ7HyXM4tfRtrbvsnTF9Sqq2qQ3RvdX\/dZ85A6\/d\/jOKV18Bu7QDiCamXsWgpThqvvyoelmgeIurPgTpKsOHG5QfcJU0Se0yDtodaoxcogiWZ9oAD9c2RqmV41Q3wsvNgX\/ZbFLu60FnUUIpraDr1VEAbIqpXFaWGz0GpeCmhG8NHoHr4CDAtmqgwdemOXyt7qNTMLMtOkuQEQpfObKPHQRvdkyNTron8qEYstJbHrqRK9QIEjmQ+ucOfkAIDUOBDksJpgJGHpz5UFKCKzqXtybGhEzzMvhKU\/ehjaL\/qSkT2nomqz58OZDJCH8HT4I9vc9uQcFKgpzz3OnLIf\/ZsGDUpRK+7RjmJ5HMoP\/Ms3HXt6L7jDlRf\/C1oe+ypqqPUSttauSTekp5hQo8pH1H2XQBs5UrkT\/8K8m8vRf0Dt0EbO77HHnbjrcjd\/R+k\/nKlsrNt2EkfMnghgEUfMtl9AUl1RY1mANQPQIcYxX+uC+\/l+eheshLR2jSsSePh1DdAN9UyB6pYK4DWvzofjHk6oJ6U7eWnzeOK849fKCirOkyspE2QkWfUGOSnT6FeDagi4d+QAgNSIJQMByRLePKDSAFd16EbZNRU9XG9HCUGA+Unn0L7ZZcjc+H5MD56gKwxpMRiBB6nwmGDg4Eo43NiJYiqAtVpGN87H93PvIioSDUOvEQVrEM+LpJOIRZDOWoiGkhZvJfrEE3fi5Pg7XkqyguvcU3gsGFI\/uZHcB5\/Bl5jk7RDEBC7nBVFsasTSduBH3hmgI4O0E+W8k+rnwr8DHC\/X5QFSTrSc489kQoA3Vds9qpSgVlPsz119iJncLl\/y32O\/UJBWalI6lAV9T\/f01DP+PqcCw9CCvSjQCgZ9iNIePjBpEDgvCGj68U53beXYt0Pf4C6L30Rkf0OEA2haB4JllvgeMG1evAcwGa8tZgsBmdsUnqeBvKOWN88U8J69ulfr0cQOLCIdEi+HtjxWD+hxtczuvPnI\/vo46j68pegb8Ju2KvqLdoN+kupTOREH5ikV72AbosaCW8OKbAdKRCC4XYkdtjUjqcANWhUv4kzhqah9YorEMs0InHyCcrbkWo3USP2kUs2q+OBtk6p+wh9rJu4qEkKMVZKReJgW1JqRHWXKCBFslW5OV3PljBvMC0\/YEEvxN+s3g\/uJtWnYAQccbBtn\/aD1sLfkAJbSoEQDLeUguH97ysKCLv21+YRnJxVK6DXN0FnOC\/xzGSgboo2gwepAQmgGvJtWQpeeYq1ChAz70KwHlEqGAx4iLFOnFHo4aqcZ3QBcbEpysoRtRYvECAH7NtWPclRKRukGoE63qpNhJWFFNgOFAjBcDsQOWxi56JAhV37O7JY3g+9B8\/wAWwLwbDfkDeEDFks0K\/UYA5ZkwJV9dcHosCpJbAhBobAwVQZlgkpEFKAdnlZIRWSIqRASIGQAiEFQgp8aCkQBIj40BIgHHhIgZACIQVCCoQUCMEwfAdCCoQUCCkQUuBDT4EQDD\/0r0BIgJACIQVCCoQUCMEwfAdCCoQUCCkQUuBDT4EQDD\/0r0BIgJACIQVCCoQUCMEwfAdCCoQUCCkQUuBDT4EQDD\/0r0BIgJACIQVCCoQUCMEwfAdCCoQUCCkQUuBDT4GdEAwZYaMnCiOfkFsqwn1nFTyX59V1nlexOHbsMwzigezYXmxZ6wPRcaBzW9ZKeHdIgZACO4YCA33N\/TlX7+Pe+zumxzui1R0MhiQ6o\/urmItBOk7\/UC6RKO5jT6LjhM9BW7lS0Yi3qee1XWgmIZaZU47\/K3DswbVtuB0tktfN3i492VqNKLqr0NF+nZIFQRG1EpNoO9J4a40srCekQEiBfhQge\/XD2ipBg5yWkXkVH5UMKxU+zHxjgOuH99uujLZft7f34Q4GQ5KaiTn5WJikk8NnFH4\/mLEfu1hbshTO2rUovPaaXGcZ5trR4GwXeklmAQZuZgcrb5UG+\/XXsfbS30ErOzA4gvcReLCrpDNJzP8q0DNHqujKVENheMvt8nqFjYQU2MYUCFJ9cULv81zJlcI0ZSpVmcesmIoBS4JM4QuKLW\/jvu081e9gMFSs2IEO5pCTh8GJiU5G7MLjf0bir0ui9PmTYe0zHRolGJ6Xnm+ff81IjwAAIABJREFU7ntszGV2AL5UPclEy4sWQl\/wauVpBtm2Kyd22h3NT1ekwW1rhb1sqUwAOUO0ZYqhQwj8fkL3nZbWYcdCCuxICniwNQeu41aym+gChOSd6r9XKgHdBTkmf1OJr5lVxVN8eUd2fzu2vYMz3VMa9GD4Wd1EQvRsJWLp6kERI8v1DcCbb8KoqhMJUqQalYF1u5CKIMi8O\/ynebqaQOlAdMJodI1uguc5AtoqNY8vam2Xnm1uI6Qg4BWLyF36S2jdnaj67e9AMJQXQiPwq+x722e6sbnjCO8LKRBSYNMUUAIHk1wS6LwVK9A1+1k4HS2wrDRQKKK4ciVKVWmYqQTS03aHMX06PNOA7TqSG1PffvnANj2UbXx1B\/M6qkjVw9JcG\/YLz6LtP3fD1U244PxFbW6qCtGOLOAo0KEY41WQRzH2bUknXfPQ\/sQT6F65TFSHlFzZqtE4ClqmCXDYWzBDnZ\/+Z+O96d3b3vsbv2OwVwZfG1XT0AyUc+3QohaiNsVxGxrPrViN\/EOPA7DhBGoTvwucDAy0DXxWhM2BiofnQgpslAJ936W+Rxu96X1+YduOUhSg0HUNzvw5WP\/r3wGdOSSGjIAWjcBtWw\/3jTeQmDIO8bHj0H7Pvei47DK4rWth6oYIKluPvFtjpFujjoFHtIPBUAQ9ZZvK5VE64+uouvlOGOWSEq\/EqYOXOathVxU7VjIaDwOnFgVOcpWqPfE6VdcrhjyhocCVb9x7D0TVNJTmvAhv1XqhYmBro7QYpdnSKflZzNkD9kX9dShdCc7YKK5eBa9c9q+5cEXyYjllrIbrwvH8u6nXdwlHG99U78UAIONxKZ0G9\/tkZfZz8cDlec+RtlijTDI8IFLfhKrTTkUxGgPa21Fe8hbw0jzYd90JrezCovq6PYvyylXK0cnvDvscbK6rJgEolmCvXSPOROxb4GwUlAt\/QwoMSIHeZnh5b\/3vMniX5WUa8M4tPqm+U1ajviNXGdS2uN7BViDfkfgPKp4RzDWFm\/lk2BpTSvIrtyuH1lv+jdqTT0Lyc2fCPPwoxE44AclvXYTEOV9C91srED34Y2j4\/vdgDhuB9ZdfBXS0+MxigBEFzoRCOnbWUfxYlKzsNXkfz9H0EvA1T\/aDcfqUV5ULL1dl4ZZRePABdN9+O7y2VsVDpT4+sW33QuxQNak8b4rvJFYqgejYUbD+78+w95oC84ILRWpkGV2zYORyIGBohimqSkqUrubLjwQczVMZxH09t\/i6UC0gzF9kIcA1oIlESZL2SJ4DPOoNTmleGZ5dlvPK7QRAxIBmGPCKqh+uphE+4GXbgEQaum6KWt4tdWHFww9jxBFHw6qrhaNpMDwHztIV0ONRaE0N6iG7GhwDMH3NBruqxjjAnIXMwrdf8m3RPIOEgl7Iw3vtdbhVVdDGjZHXUMBbN4CVK5CdNweR5ibEdtsL5WWL4fznPlj3PYV1tX9EZ7mExJKlqPYsGWf5uWfRet2NKMUNpKZMQWrsZHS9Mg9VBx+G7HOzoXsFpE4+CXqyGvadd6HlyafQ8KtLoUMXxyhJHO+PZQOChidCCpACGlkl3c+UHkjedMUYoFeM8HKiUmZrEY7fBW0eKs0yfRHYDvuyfbaAO9FURBORp\/nWPLHVE2WU5kxRZgv6RD74+kJosSisvfeU6TprY\/tsKnbgfrCm7wmP2jnDQvozp8C78Xp0XHcDar98LjwzeDp9+8DptTgOsiaPHFXxWXG+I8jrGjxXh17Kw+vqhlaTge77gQQ8NBib8DLQTKOj+8knkX3wbkRjGeSfm426S34KzdDhaHw6A\/DCvt3a7KMdCoZCCHnmSvIrjRwKsuHu3\/wN8YZmmJ89TQZmNVSh3Nom0ovW0CggQMLz1SX5xcuTx5Qe6YnKivly+Q+cpfhPIyAQHiQbuLo6WMq5pRI8p6\/3KqHPMTU4rq0eUVsruq78CzreXITotF1Qe+45cPQojEgSY47\/BDwrCdctAWvXof2ft6O0fCm0QheSh38C0SOPBLtvFksovfkmrJoqaI3N8CwFTP37KR8SHXoCUBQ1yFxkf\/UbGH\/\/O9xZs1B1+79gDGkWiVBbsRStl\/8e1uSpyM97GaXb70bBcJGKJWDsOQkN53wJDbW1wIrlaPvF\/0Nk\/ito\/d2VqP\/6V2FMnYSuf9+DjptvQmy3XdH2hc\/D+tzpKC5bBe++B2FlGtF5w03QGxv9ub0nTk4yoIqyu\/8IwuOQAvwadejkyL1U8nScI1BxwivvN8heNWXP3opEEz4gbEC4g0yy2SMxlG3FdjZelQNHM6GXbHjlEoxkSr4bjpUbPT2Vp6By2tt4PZu6omAnt\/B1xEeOEvMIJU9TpsmU55RQ4CaTMDn55rIK3UPV8cdh9Y9\/hu43XkV86q59GiDJ2EWBbgKtXYZuRqSMT0llxiJ\/0oHO115F97MvoOHL54A8U2jcp0YFzFJpyUbHE08j87kz0d2WRzTbLgIHUVumTBr1ZbLXr4YtP9x2MDvYvnHJgpT14GgOMHV\/pL5+FtrP\/W+U77xTrllNzfBqGlBY9IaUVGoESmOkdCeQz4sqVYnlHuxVK+Dmu6Wsmn158Eo2sk8\/Ba+7673PLTzAdOlDI6+BD63UALgwiiUFvgDyz82B98oCNH7zAsR23x3UEtA5qDR3Hlqv\/Qd014OzejXWnXMurLKDhv\/6HupO+RxKt98JkzMnx0buL3\/Duj9ejdZvXITC87P9vqp2e5NUGAUZCF9KSohr1yB72R+R3P9AVN94C8xx42G\/9rqaEGhA1+V\/gluwUXXGmag9\/XR0dXYg85WvIn70sSjV1sKrz8C1InASceh6DJ2PPwFr6hgYM2cCyWrk1yxD8rSTkDryaGh1jUif9hmkpu+J\/Pz56HjwYaTP+woKdTGAtl0+Dc8Qhta7z+F+SIENKaAmsLKwTd52slhDJrZke2Su1JCQUW\/tTfEdAoKtgFeks95GgK3dYv\/6DBgakH\/0QbT88BJ4DC4i344CZMrMag1g\/\/vUMaWxQW2eh65lS2GMGCHFTUrEHrmnDnS0ouvRx2GUyiKdkpUIKESTcEaNQHnJogGaYLsa0JpD6+9\/g7ZLfoKOKy6Hs\/od4cO8QSDYJ7C+ZCkiNRmgbCP\/zNPQCkXhS5WKxYyjgLm4ZiV0x4E1ejRS+0xH\/JBDUF69Ei5R2ne05H1ihgnMZIOlQ6XBgXd2KBjyRec\/GRyH2p6HZ9nwTjwG1Vf+FLmvfhflq64BojEYs\/aA+8wLPaXp7PHII3jny19Gy\/nfhLd8FRx6QaKEjt\/\/CfYbrwuQcubJVYC6YaAw+wUUnnheXIgFUAemyQBnucC+rNSSfBD+RM3pyKLIGV06Lf0yG2pRrNOh1VUj+bGPQovGRCqLDB2C0tyX4LyzGpHqDGLJNCJHHAW9pgbm0GGI5LvEgaX85pvofOcdDL\/054gbJrzXFfjLi9evV8RBjoHU4\/\/SPQ8hPm4kIl88C94pJ6B88P5K9eLfZzoOYtksYDsoiKp0KLSmZrjlbjiOAc2lugjQdAv6+KlwDRtuexecpcuQ\/eMVoI4ivs9+6H7gfsQm7gattgZaOQ\/zyScRiwGRAw9A3dRpyN10kzg6ycrdXrP9ft0PD0MKqDfXc+FSnaYbsN9ZieJDD6D09JNwOttgiJpUF0lFPuatTDNRE4rqzYS3fBmyt1wPrbRtwLA\/8xaQk4\/XQWTMWJS7umGvW6tAxPNQevUlaOvbRErlUof+26CBkDcWi4isbYeeqZdq1JIJxTk8p4zOO+6AtpZApqS2gK+k6zKI5Oi\/0X\/TgGIBbX++EpERw5D54leRp1Zs3lyUHn0Ua3\/yI3T9341w19HXAHDfaUFy8mRoroOOF1+AWyj2VEj\/Dpp5NEqrgLt8OdyqFLx4AjAt5Gc\/g5Z\/3KQ0B8J3falQHC\/JsHgymNb0VLs5ezsUDDl74D8+Fg5H58yIZramoTBP+Qxqrvolcn+8GqWLLkZiwnjkVi6D110QvbG34FW0XXUVGs78PBJ7z0DbzTfAkrAJBgyJCqPse8WFC6C3tQKmierJ4+Es4cJ9H9HYcOAa4s8ypDPqtPyVl44fTDIFbd48OSezHkqCTz4Jbex4IJ4Q3Xtkzz0QPeIYZH\/9OxSuuApuVwfnuPDSCa5jgNbdBc+KoCsdhyPiPuDFY+iaPAl22ZGH7xgOcNvNKD09G57GBz\/wpswdQU+A\/MoliE2aoAqXSii2twMjR1Y+I6u2Btb9s1H47vfQ+Z8HUXXMUTIzLDfUAsceAhimSL5uXRVSZ5+O9IknwUimsf6y36CcslD\/xS8LDUujRkD71MelHT1ZBW\/hGqT3OVAcnPTOAuynngfKZfVAZcbmE3ngYYRnP+QU4NtBJlR87FGs+82v0bZwIdbddw\/afncFPIeyoeIR\/MDUm0RgUPsbQoSaGMo3K85raoKnylPlSIlCPFYU1f1XU7PL6P7+\/8Ca+xY8iwpEbr3++uV6Pyo5JX1iX4KQLQGM9Crp8xWbZfzlDVziQIdA1uFQ\/TtqPPTaJPRyWWG+YSD\/n\/vgLl+lHAfFeVCNIugZ1wMHZ1gPx7xRAaloA4VuaIneJhe1njCSaYJZU4vOVxdIjYItQffJT2WJW3BCtSNHpQLKy5ch0jAEGDoUQ759McxyHp2PPIz6WTPR9cB\/UHjsWXjvrETpvvvQfd0NWH\/1X1C\/1wxo1Skg14bcLbeg7aKL4LzxpqhrOQ6zpRWJSByaTush\/TIiqNr\/QOiagdzjT2DVtX9G7j93wctlZalI8aGHUH7D5+k93dysvR1qM5SXk93mcxXJhFEQYiJZ8JR21OGomzwJnV85H9byNdAtD2hvBeJDkb\/\/ftTudzDMQw6DPnUN8pf9HpTUjJpqaKYF3VA43\/7L36D2yCMQ\/dTxQLIW5dxrgOPBMWRpKQxxUlGinhjs2XCvTdbmAKg77nis\/8HP4GZ\/gvieM1Fevxb52bPRePF\/+RIaP00NqYM+inJ1BuuuuBoNhx8CjKuGZsURO+lUoGm4OABlzv4CzKHDBai8TAMavvkNeJEY9KoUapNpZD\/\/dWhnfhrFmIlkr7703lVCF+0q6my0Ko3yW4sRaWtD7pGHoXfkEB0+FJ58bgbssSOQ32cX1J5zNmLNQ2EnE3DdMmLDRyM6Ygwcj2uKdBiGAS0VgZ5Kofq\/vwO9Mw+vukqWjZiOh+pDDpc2+eGZHz8M1Y9OhTZqHOxsK7Lr25H5r2+LoV4+UHEo6t3rcD+kgKKAAJY4x+koPvwIWu+\/D01fOQ\/GqFFw1qzBmrvuUpMqU00Ie6AwmD77ZhIFHxWycmpNcwvL09mCKlfFYMj8aZLxHVV8b26xPy1aCONvVyL+t+t9pz1+y2qtrdgy5RtT\/QjYg\/rlX\/Xd2zr7YwCta2DPflGcR8y994ZWUyde4WTtXms78g8\/jMKyNxGbMBHJQ49COR6B3t2O2IplcP9xM9wJE6DrEcRnzoI2coQAprZyBQoLXkZkn31ReGau2BVjhx0CzXbhrlsDrYm2euo3+dUNJN948Gwbmu\/zwF4rXwNFtjLNG7ks0nKoIoCxus5sFvqQBsQq1CWeaxCv23QV6s\/9Olr+cTPw8CPIfOITyM6ZjYYvfQXO7Hki7XqGh\/Xf+xGMlWtgfeVcuJ0taP\/XHWicPhNr\/u8GWIUuxE87CVoz+y+IDnN9K7B6Jbqfnw1tydvwinkkP\/lJlJe9jdIN1yG+y65o+eefYU0aj1hHB9p\/8Sukjj4WkUlTevVy83Z3LBhqZNUQ8VjmV\/Ra4rtFj1wZjwtt7Ggkfv+\/KE86DFWUZS5Rn0W5swOJ0Urs10wHRpTGX1d08PzQ3FXvwLVeRnThWygbDwkY6okInK6cuPty\/kfjsXqHaLDXK+rPDUjpuSiPHYvMJf+N3N33Yt3c+Yg3VKPh3POBYcOkPq7RE9XBbbejsOxtVJ9xqnzYnInqMQt1hx2qZpCeJy+6jI+mAd2DFk\/IJ+2tegeFVeuQvuM6ZMsFoNCxQVcqJ2i4DqaCnoboxw9F22W\/gfHDHyPfmEHT6WdAi8aVe7MGOMNHwh47Etq48fL50v4pDkVEUz+yDhmF5pnwGLGCthrDBKqrpG+0M\/DlVlSjnceFl4jBGqukUT1djYaLL4RucvZpVzx+K\/0Nd0IK9KeApqG8dCla7r8bTeeco4CQYRbr69F0+uniOEHZUOyFIkkFCkNCnHKhC8Cpp2qGclRSFxl3+a47UHroScS\/cS60kaPglRwUX5mL2K67QYtEFJStWC2Oe6hJKL7j2PC6S6D+XzcDSbGnhd570r5ExdLhrV6Nwhlnw1m6GuXdRyOdTMH8yP6Kv93\/AHKX\/QbaER9Deso05ObOgVfuRmL3fZG9\/LfA\/EVwZu0j\/cndeiNqPvNZWJk6uMU81v\/lL\/AMC5HV61AiQHRlEalNo\/uFucg\/OxfVnz8Fxsc+CoP8YEOCAIkYkIzBXfMOMHGyTAmE7\/nAaZQdROpqZViBQx5xVW9tgbHbLr2H28Nz+FwmTUTjf\/0Xup96Ep2\/ugK1w4fDaBiKzqu\/gcghByCy+26INwzBmpuuQ+0BeyMOHS2znwbyHTCNOJzsGhjVKRi1NSi99jqyd96BxBPPwelqRbYpg9qGYSg98BCiQ5tRTlRBa+2G3plD3SknIzZiNFouvxKpww6G07nOl+QHGnyf7m\/yYMeCIT0\/2T2x52rgSgSt0Om7W3OiQ7ByoU+cjOi\/LkfbqV9DtNQtzzs5a1+s\/\/v1aDjgIBSWLEKZbrlVtN1pSB7zCay74XqgvhbNP\/0xcjfejPxfr0Upn4PV2AxQaqR3EtvtysKLxAErUDluSFCJOsPPZNQYVH\/lq6j2ScoPlRKtmotx4V4U1SedglqKbbG4rCVUvlqEGeUZRg82Xg7mqaxCMK1URNuVf0R8vxmIfvIYOLfcCn1T\/nMezXj0sFNqH2PiJNT\/6jJxYa7li20qsFTrMwHNikB3uHjRVt5ZsqRFEV8tN\/H7JBF2aNgXnZKamQpeMhIsmZChPghfdaMKeNAMy1d4EzD5WtHxgaqhgWaqPgHDnw8tBQhU3Oy5c5GaNg3GmPHyKul8Xwy+NjQwiHJRvg+9bT20dJ28xxI0UFQiLLghCTnRZP1d99yN7nseQLSlDbk\/\/AHVP\/sZ0F1E\/uq\/ALP2BhobET\/6aJGapJYI2TXgvvo61v3zn2j8zndQeOppaNk8osccIUXUJF01q7Qy6oPWXQ3FG26Elm1H1XnnYP2i+WJm4NyeX0PhpZegd5eR\/vKXgVgKqVFj0XbdNYgMH4PIR\/ZB1gbSxx8Pc+hQON15uG8tk\/ZKjz0Kq7YWNed8Ge9ccgnqzzoDxnNPo\/2CixD5+tfQ8M3z8M7frkHjbrtBq2OErgE2y0Jk7HjYL8xF9ICPKkmj4m0PWM2jEB0xXN1IT14+gI5WxDq7EB87cYMKyc2K9NHoaEe8pgp6Ogl9zUoUip0oX\/tnYGUL3HQtjLET4KbSKFoRuN1F6FYMEtrStpE5\/TPIvzAbbX++DrUnn4LskkVI7DsLkdFjUXrtNQw\/9xuq3dWr4HR2wI6noR39MVSffKrw1vxD90KDjdRpp6Dlmj\/B6+4WoWKDzr6HEzsWDEU7SeapiYOL6UZRTCQRs7jcW2R5mSnJ7qGHwPv+1+BFlQuv8bGDkVi6HGu\/\/xPoDWlUnfEFWYbAtTLmYQejefdp0KjvbmhAqqkRbVdfCa+uFnVnfUnWJBKG3WWLsfbmf6Hpi+dAq+b6RaUu7U8\/GpwVqyekERKIDpSdKFQZSjvBfU6n4hGJ70n1K12j5eH7K3D4ElXmsxp92EzxNiVfKN\/\/iKg2k8ccK2MmcCln4v69UcfsKttg\/dIupTu6ZidTSh3E\/gngqc+XPbfFBsN6zQoP4djUNICsxwCj7XATLCSjkUGKuUMUTnJNFtbSJT6Q4P02xB2eIEhVlFI1qd6Gf0MKDEwBPZmG88LLcF55GVpzM7xIBFoqBZ3LoDwDZtlG99\/+guI118OYuRfiZ52JyG67K6uhMO6+ky1qYvg9uW8vQe6hp9Dw\/e\/DaKzHqv+5FLHFixGdPAXVuoauq68Exk1E7KADocWTYGTOZCIt30X5yccQeXaeTBq1m2+H8epCeMccUflm1Eh8latwKh1ayzpk585FwzVXAbvsiuS99yH35BOo3m2aTAjjYyYim3zady4DtIY0zM52WCNHIjJ5CtoefxZeib0AklOmou2ftyNOD8rX3kZk6hR47W2wig7MISPgrFiL2IxZiJ1wovAhg57bixcCmX02ILL6MoH03rPQetVVSBZy0GJp+XDJefkvfeKxEn1K1J+a+Jgi9+ADQPMQaPUNMvkNJi\/8pRd9duECFGe\/iITrwIGFmh99D253F9pffBHJcz+PQn0dUmQfEQv2sOGiwtViFmIfPwpIpODFoojvuitK998H+nVkTjxJJkClm2+Cm1ASOp17utauQcPMvVGwdBSzeZHWC088jvYHH0Hj+RcAdXUodbnwcl3vbzD0+az\/kmlwjj0KWkQXSY3A0Vt9h2Qcdd+6CDCou6fBykLy7LMRO\/wIaNEo9EYuXHcFACnJoalJ6qUq0Zg4AfX\/+wt5UTyd3qUe9GwbWv70V1R9ZB\/oVUmJjNCjEOk73fQnsVIfQVTgQ9NBEyY3EWBVa\/5YiCa8QhdxtcvD3ushqY4kJEnd7Vl03P5PVJ\/1OVnewM\/bbFsPfcRI1cCAf+mBFdgMubaSo3dFmlbng4ivBCUD5ogxiH3iU76kFgBgIA2rY6WOYnnR36oRsQ1\/OGqPj4UfjJoRs2tCb9nhWGUWsF0XLw9IHjWKPqAuj6Tvo1W3yqsWvI2kvnqwAXU2Vv82Py+TCtKXzzl4Zv1bDZ5O\/\/M73zEZr6Kt0sxQ62PuNwux3Dqsu+ff6NY4IQWquktIjh2N6CmfRun6W1FatBw1l16CUvtatF75RzR98yJ448b5E8ue8csEzl+TWJo7F+lRw2A0N0mrEa6Bpb9BsYjiWyuROusslBYsVB6b48eiOHQqEr52qNyRRWzKFHEYi2hlaGvWqOhRliW2Nvmi+eHy+cj7DlHfGQXAaxgqhI\/sOgVrX3gGqXwXzGQark7Vaydg8\/sCrEgCVq4EreCAqMEJbeV9Gz4C2GsP9QDpkf7WUmRfnovI9D0Bz8aaNxah6fTPyQyV3YiNGoPi2nWIqzv6\/OXrTs2TvseusJpr0HnVtUid9zWQDwbtGVZcfessWyqi6857kX9+DuovPB+2aJ\/6VCm+BY2HHAYcfCgYeQpWRGnbADQfejjcQgHRckFAVE\/XYuRZZ0NPpeFZBlKHHAKnfR1a\/3Qt7Pb1qBo+CvFDD\/btnUBxyWJEh08Q8xnNXvFPfgratD0QL3SgdP\/DaPnexbCNCDKHHoXismXovvEmxOrT0GsDfV3fvr6Xox0qGQpfokQjZmgPieOPg8YV84F6rSKosYQBpdhXw5OHzLO+eE\/QC1SCwqd9KgQzGlcevlK8cG1g25+uRXT8WCSO\/IS8LWIeD5BrAwpKTwOEk\/5KEf908FL5Sl9fbcoSwZWgQjWLlb+9QMaePVucViIzZwkoa21ZWZDfcNRRwY0b\/AY1swuqG2y9QrDKOaEbnbKGNsl\/UckKfYMxqX5KA3JK9TFosHepnpZ6rsr1PoXU\/X1OBcW38y+BmSxGuAE7JMyLlAtgXY2Ij51MOjgf0HY7d7dPcwGTFW9D\/4qYhPwIHtQxBDQOfvtUsBMeKKqr3hLCODY9nkL8+FMQsUvQugvQikVgzXq03PEv2Hfeg+K996LuW98AZuwtjhzxuYvQ8fwc1IwbB6erG0Y0Ao9RqYIZqz8NK+XaYZSLKjRjRxsKyxaj+uMHw1m3BtlyGcmPHwZ33isov\/IyMLQR2ugGdP3jViRofljwNjw6e\/zqMujrc4iPHy\/BMQyrJngS\/i\/fdQXwXk2dxPrEmwuBhn3gxKKwyzY8ggW94MjnCpoCjkIehX\/dhlIyCrexFtANOFPHiWe51FZfj9rjj5WJqz5zL3Rf\/gck9t4dCZ6zbdSefSbcXabK5J+2\/NgnDodGm8+AG98kV5Z51Zx3Plp+eins734PqU8erSJURaKSgg7ZHIpvLkT+hWehmSk0XvB1aM3D4IpHab+6A1oLEvd2r1Ed0GMxWFxvRZ5s6IhyHXOFTwFaNInqjx4IY0SjrFkmFSlfaq6LQnsOtfsOEdWya1ow95mpVmklG5D5+vnw3loMJ6Gj4+6HUc5mkZoyEbVHHCle+v16OSA1NnVyh4IhO8YBCDMSaslRL7JtqusBaybNlZS06dKqIctxsPbv18OKx1B12mfVva4Lz6C6cWBfrHetdzMK8AWl9ypVmW57G2K1GXmgBOXOB+9HbPwU6KNGBQrJzWhB3aI+VZ9WAgY+vTe7xvfPjQKElaAOnCj0wFzvD0f2acy1y9DKJQnQQIcFagx21BaECqPlTMnq9PYN1NscGc9yPL1HsqN6++7t8j3kByYTFAF02ruVAxtHwggmWjoCcWmsb4CxdCG6lqxAZOJ4ZB94EFWjxwLlIkpL30By372AVSvQ8a87Uf3Fs5Xtn9TwlRWkWPqww9H+9+uw\/qc\/g9PVgfT0PWGOGC3fWuo7FwJDRiBy4qfQfsstcKpqUXf5r4GFb6LjP3cgsu9eMDULZnUSkYsPROfVf0XSkbepz0AZAlK+LJrta2uQPu1YtF9+JWpr66AV84jkbRiW74XKaInP3g\/nij+h7a1FMCIa6i+8AEjE4bkahn32C0A0Asf1fRk0Q+IQmHtMQ+ay\/4GeSMk6Zy7Nik6fIRjsoCxOgNbYcapfAwCX0J2vNjVkQ0Ygc+mlKNz+b7Td8i90xixokShcy0LMcZBuqkf66OMQ3X0PkRzpYS7RvCoGkj7D3\/SBzLp7eHTwlorTXzwKa\/dpSqr2bLhU81JYKXTCLjrQhylpXtFWrUPAFX3fAAAgAElEQVS1XBflVBLGbrvDcmw0nDNB6EUfXhp+6Pij1Gyb7tamru5QMJRXyaeSfNTyMvdIN5vqeO9rvWeFvc\/33mczVFM6dh6RKZNQNWOGzNJ0xgjVleqzxxsreHS9a9g2+2yJyyw65jyDJBW47Tl0zp+N+nPO81mdUqtsbuvBSORXZnRKAtrc+t5P98n7RRVosRvOG4vgtLXJTJfvi2YyVJQOr1SGva4V2bXrwADBNe+sRPfdj0K78GuooUfjDhowY9IGNmxGGKL9mH2hjdiWheJ0dPCZ8Q7q43tpVtGRtmTlQU6QLy56U1IKEQjNeBRlu4xyWyvyi9+AvWY96r9wBqx0Hdp\/8Ut0fOsieGUH0V0nIvHRj6Lj1psQSURgWJZMGINJgfAC8sUhw5G58EI4CxdDj8egjRkrk26jLoM0\/Q9oOT\/oY2iYOhXQInAzNdD33APx+mp0PPwo0p\/9LJJUlb6zBhHXg9Y7LCKVDf6iCmVaoPDiInL0J5BYsxa5n\/0SqI4ic\/hh0NLVyu\/B0WCNmIzOxW+g+oSTYB2wn6yhE3DQPegJER+VWl98CwLvdgOoqVcNcgJdUXSQL1AilpdCPYoBXlaZLrm6jxMukE4gdvqpiJ16PBpy3SpLgGXBi0WUZMvqpDZPRbbazC9gYzxZPR9Oivj+cqP3unp67stvQG9ZA72pSWjG+Smnf1xTSacekwv0+V3QuSrKK+obUO4JAwxeUWXQf3coGAbdlwmWEual48H5QY\/iXQvy8XJRqgY3lkL1\/vuDWYvEE9O3xRicXwjTCT6rd610iwrQzqaYGuCNHw23rQv2vQ8i+9YSRBtHwhw+XFSmZIFbSo\/e9295bVs07O17s9jcNJTfWYuOu+5GoiEODwlZvqPbnkTdsS3AGjkEVfvvDe\/tleic\/xpSp56C2FFHVTQOg9Y8bMXRqeUBLlDqRvdjT8BdvRrm2HEwP7IvTM9SDES4wFZsdJtWpb5BMjZZpgMbBcbmffU1maQyv6xt6rAaa5GePhORybtBr62SWX\/1z34Cj6G+TBNaUxO8ta0oPfYiMt+7wGfcXBunOq9U3nzjXcAyoU\/dxf9+fJW51OjL1HQyq29UynTPQ+66v6Nz7suoP\/csWOMmqwqLBWiGU1liwQm1yIgeDRA+MnGNoWtIzOPoF76A+Cc\/zSyscDMZJenpGuy2NmjnfwnVF34dNNlQmlExWdXX6XdfQCvwT6e0I0AhvyzBskR6Yhj31bgpCTOItR9gbYOnqHwapEVRC1GiFXCvi0pZVZPKKEGxQK235lTLp6vq4gb1bu4JAriSs8mN1J7d3oY1t12P2uM+AaQ4gXDVUhEZlRpz8Gw5ErUpkwzHx21Lu7lDwZADEGWPAFIwwC0dkiJM\/78kOecjnMmRh5h6MPMO4qBT1Bbxsf+t2+SYM2QFdB6MpmbUnHgCco8+Am+Xyag77Agxc0GjJt3Y1AKLQfdt86krRJF2+NEpMFXPqOeK6kbAbno6tW2eZU\/9m96TWTM8RIcPR+PF3xKnq753+CPIF5G\/818ovDgX6dM\/g9iB+6vZPNXnfW\/YjCPWEFBq8PQQ5aimo3Pey2i7\/2FUHbgfsv+4CQ31GWiTp\/pxX30usBm96n9L0EN1vu9R\/7Kbd6xMApQINQbt1YCqgw+FRicMNVWtTPvIE7hsyeCyJX6slgl3pHImo9Kx+747EB83HDoDT8s7SYccxQ3lhx+ycEh+7D1vJamvydomYoKvNvfVa84Ls9H9+JNo\/tlPgeZmATE6ozPPKjRL\/BFYN7eep+gDE3mLKLSYRg3w6tWaPfo+EPbIebisS7M8RHzfBYqpyilKvLcU75EE4oDu+h7ifnvscgBQFQCU9gKPcV08y4V\/DfBK9Plmg7oCvYI43kmtoEBQcYZTnFkBot+PrfdDCvK5cFPU5NKvxnPOhzlmhC8EcCCqhBoSYVPgWU6L1sSn19aa4O9wMAwGSqLIfs+btvVo36tuIZwsT1It9zQy8Jqlnutbd6\/nAaoBRw89FPwfbHyxN7nOMCg4yN\/NJaswF9H\/q8gTnK0ybZXU183ULHnAikKrVms8maeRry0\/4K2dGnSQQ60Uq9DY7Pua0zU88KbzWlvQdtWfYQ2pR813LoJRkxEdhbwd\/UJRVSp+jzsVJirEHOzNpLCH2KjxaP72t0Etnf3EY\/DSVVIB1UWUIPq\/xYOtvVKuV+da7rwbiUmTEJ\/o26AqhbbODkckz0T3359e1VaelR9DRQKH6TyrbG6BFOW1rkH22RfQ+K1v+ozUf7N9QqifwNTSu9agnDrHI5nq+EWdRx9HzX77qeUdTEfkq0LBAPp8EnTSkSfiOy751XEIckbq4bgCgtIsQzRVPTJn7g3XjwDDEpV+chSsS+rz6xZTquqYutSzLyQTKVC1HJCwp47gTP9fv26e9vuufny+K8WVDVfdueE4+9e4Jcd8Cn43pBojmYQxbqxQr\/K1qtmsakbGHHTcf2j96tiS\/vDeSrtbWlF4\/1amQO83ZStX\/d6qY95Ifj9kED4TW70KxaeeQXnOXJjZFonqoU+bButTx8Mb0Sxhqfix95ck31u726i0TMQdoDsHd+ka5H7\/RxhNVag6+TR48bh4MgsTE4lhS\/rgz3yFN+qVmX+FE71L1Zz5lhm8uCkDzbbRfuWVSMz8CKxhDNHFSslMKnPld6lt45epepIoUJ6G\/KtzEKmni\/r4jd+wna70f\/2FNZMON96ExPQZ0Mf7cXi3sD8BS+bCbnqXq03Rln3oWt8KJxlH1A\/vWOmXegQDtF4p0edaZJ995KnR6UVNYRTI9ykUHvQByO1NjhAMtzfF32ftiZeWzF41uGvfQfaeu4G\/3Qxt2dvw9pgCb+RouEYZ3j0PoOu5OcCUCTB2nYzUQQfAqPVjDu5MY6bIXXTQfs31KCxcCCsZg23FUL7sV6g\/56tAfZ2a2weTz83uO+0tBCtH1mUyWhAnCEoiePdKXRWIRSCv3LIe+dkvIH7KaZIGxzMZ8IAdVGq6wQLsQK2SdQdOIHoyJut8Byq3w89pQCmfhzNiJKoOOVhNBzYKSIPrLWkYJM\/WG4aguHw5EvKuU2ZUMKm9Oh\/atKmDq3AjpVgb\/RUYw4nOUCLtDoyZG6khPL09KBCC4fag8vu0DTqOuJokwELXI4+h4\/77UDVzT0S\/eT68TDXMMWOhU21HbzRGy2hrRXFtC7pfegHrL\/kFGs79GvTRo8URhSTYmIfZ9iIPx0P+6ZkRVJ98MupScck4wvazl\/4c5VdfQuSgjylV1xYyWvESlAgp6hOTiESUNiWY8rtwQmlbpV1lj836JtR\/7zvI3Xgbyt02kscf7UdRUvXwr7T3LoTcGP3FQ4\/yStmAZg8Wrt+lsa192fNgpVLIfPJTEiiawBKsod3cpmQ+4csi5v77Ifvr3yOebQWqqkUF7WVbkZ8\/D5mvXLBBE+reDU4PeCLQklAfSm9gZdujZXQnpfWAo\/jgnwzB8AP2jLeQh\/eiBqUODUbBRvamG5Bf8iYazvgCrCBNlKhBlQMU2ZKse2seimjzUMR2m4bO1K1oufMONJx7nlztVfEO2iVlVCJk19CgNWTk2LVtcZ8vt2aRrFaOD+K80mtR++A73Iv6lGSWrUDumWeQHj0KEa7dijFGiPKe23SdPQpmQiKDLkUmTkbioP3QMe8lJCXkGI1adMJQciHNK+K84Ttz9K6fy8+ULatX\/3oX8Pf1fJckVh3g0s5xinkPac8TKgbLBTa\/a5xoMKYo0cncbQpQU43Sv\/+D6Gc\/JxCZv\/NeuMk4tClbppLlE69ImvLYgqPN73t459anQAiGm0nTTbOVzaz0Pdwm7FI4oZIOGFdQ7M2Vjvkedb4QwtPc\/EP\/qN+P2MlUCammVEL215cD8Riav\/1dFfeU0WukFrISD27ZgebZ0Mw43eDE04uu44mPHYbCZb9QIbBqmV2E9wXbJnsRFNoqv9JbkoKMz7bhtraiuHolzNXvwF6+Gu1rVkli5Zp99oax666CKCTre5mzC+0JOGqFsvSbyjCzvRPeA4\/AHjMabf++W9admfvtKxkI1NqogCZ0aPc3PkfxpHSBXAe8tnbk23LAquXIP\/gwMqedLGpXhuWiuk056RuVRcd6RxcKi16BvWgJ3FIJWnU14gcdJMsUFBAPZKtSz0NjtBRb5QENurPT\/AYBE\/xXZ2u8QWJz1SljUn1poersz2D9JT9FQ3UGjl1C1513IvPj78NluMd+hHgv7bNsb1+Qd\/kK+7UUHm4vCoRguBmUrjCuzbh3a90iNghNQ2HObOgRC9a0PVTi0l6IqGKhDv6zFXdzATsCq4HSI4+h0NWCxm\/9WGKm0lVcJBCya2HaBlr\/fQeiIxtQNfMA8c5TtPGgVyeRMmJwW9uA2nofhAffl61Bp0C+ojMKvUdz819A9133oxyLwLJMpOua0HDMJ+CNHQWrKiNAroKECfuqANS79VoxVR3e+nXovPdBML2Y7pYlskjyM6cisf9+iL44H+uvuhyJWBJVM6eLbEPHe26Uqiuygt9Y7t\/3ovzscyjXJlGwDMSNKDJnnAFj993hMjII1W2ibyPsquwgpbcWo\/3GG+FaJlJDRiKSiKHMpQG+y7xUPcBg1OJ+T\/IHMhrKh2dTbyunB55nw5y2J+q\/cTHa\/nwNPAuo+863YUzaZeCQZB8eIn1oRhqC4WY8arILZRPasYyDn3Jx9gsoPTsXDVf+HohFpV+e40B3bJnRklUGvQx+33XIzB2X60LnXXei9ozTJUycSBVSAf36uL6JkpaH8qq3EZ80Sti6XBa0pOrJhJ2IwWbmanrqq+VU8tt3lvyuvdnsAqJi5N2+xJrYZQ+kJ0wDUskNM3hLpExqHglQ7D+ltv7ywEa6QlowjN6KpegudCLBpK5MHs0wU80ZCXeljW5GtCGD2LAmFRSe91ASlzuVGztpSgJxeYqx22Qk95kJo7YOiKjPlFcZvFgcMPw1VqpHlM51mM1DkTnnLJj1zb70jkpiVmZzkAXclbehZyyiYCgVYeTyMOuC+Js91z+oe8qlidm9mTuOUycH5qxZyOy+B8AA3dGUqJ5VirNBfz0fVHJ94McVguH79BFTsUZ2nT7pJLTNexVYvxba8OGijynOX4DOO25H5rvflfh9HOLgPmXR9QlFSs8\/D811YE2bJlnlDIkr6YOESI86XEbeKJShlVTtlYgZPk2diA63WPTbHlwPtubjMMVhhh6DzA7iQI9H4cV9sJN8kAx8QHDh1rPOVLlm+GMaRIdkobILRPeYjtQeM4B8F9DO0G8unNoM9EIR7Vf\/H2IHHgiL6WwIeRUJ3p8lSHNq6sKlHckxPcsbAlhmEV1CB1LWc8BnQhgmgHv5HLwFr6HU0YGO9U9ISiGjqgbpE46DHk9u9AVQ8AtobR3QyjYiQ4fJezXIacAgqLPzFuHYObHj+yF5FElPOj3FmPQ3Aqa4NiSp8EbJt\/MOLuzZe6ZACIbvhWT0rnRcuK4D07R8NRo\/qYG3jXnvDVSakiaZ3cZr45fre0kIM\/UXXHcXYHZ3AGvWwM3USxmrrhqJKVP8dX6qNUl+yZXbfuZuxer79oTnbHovQkNx3lzoM\/eRhMV+DX5oKJZi6CnaWUwko0kYr74KTN9LGDOFG2rayEz1vA3dUmsTlXWMspoPRn2b3uhR4CX5XmhZqcy3MynZ2BTVrqh36fnqEEwYMYRu75TSHDh+IGx+FEGEEnFKId0jjEJCUB2AcjzH9covzkXXQ4+jrbMN0YgJJ2EgfeSn0fX4Q3Drkoh\/\/Eg4lPr85EN82pROKJmxP26uHejMo8RgBmvXwVy8BA7XcYqHEoMZGxI\/1Z0wBfHDDxXpVmyh0FFesRJtN96K2KQJiIwaCm3KOFiZBiAS99XnZOgb9j1w7fBKJZRrkkA8pdSu8pwqlPyA7jCuGdXNDP6lIsWIKOgrreU9UG91iIYf0Deg97BCMOxNjY3tyxRS2WUKCxag8M5y1B52FGzNkagFtLOQHwYppMS1RFRgau6pWFA\/RhSgnuAbpTwVuomhn3iJWRcZf9Bhzjdx7PQflVSjwV29El033wbrtdeQuOUplKxqFBlsWGeE+jKikyYB0Si0fBdab7oOxoKF0Ll4eJc9EDloPxTIPOfPQd2sfRGdurtS+9LNxK9fX7UesRnT+4AzXQ2UREO1HgNrAalJY1B4\/jkFKiQCJwxkJq4Ls1iE2TykQlWllupHh8rVDXfomMJ\/pOtAdynq9ruPyUbbs9ApmbW1oLR+PTrbOlCmM0lZqY\/NfCdiHTnoxQJKmsqmrjHPHNsRwFP+Ptz37CK6q5pQ+9UvwcrQ23TDVlUfNXQ+PxvxhhiGnv41IJ0GIga677wHztocMhefJ8mnVTB4vw4GHi7nUJ7zEnKPPw1r3XpELBPdqRg6k1WoGjMCNbtMAaKU7GzAdoCuTrR0lxApF+BGYzBd2kM96OPGo\/7\/\/RR6TMWb7EcVoWP\/c+rYp2x9BsmzzgKifM8GovbAd7\/vz8rzFquhP2yOPRg\/fzd83u\/7MYcDGJACIRgOSJZ+J+WboETjIjJiGMzmRniaA6tUhsuI34k4tHwe+ZfmiJt+dMYMaCNGKwdKxkb0JZQ+tfaKmSgODoQ\/zQAWvgGbi8Gn7wl9yBAYdP7oLKD74TvhLn0bTreN6LRpMKuq0fnaItSfdRayhW7UXvRVWDV18Gwb9tvLkbvlJsTKJXTfdTf0ti6kL7gQ3bf+A9mf\/hyRe6dJrMfYxAlo\/\/O1aPjhj8StnI4UTFhM25XtFkX9xqGbng2PNsAgQBz5gzhtGCjliyg7ykNRQrUJqBtw161HziugMVOv2MlANOhDkA0PuCja1l2UFy9C6fU3oZtMlkwpzFUpL1knJx2lIrzWNrj5bjjtHchls4jGo0hX1cHL1CA+rAFRqgqZuy2iMh1Y0RgMK4KYbopzjWJ64naq1oEJqFOCLCHGcVczOzilSMUre0uIYuqDh6rPnw6dcTRNZlLwoC96HbmnH0PjNy+GayV68nSyHk6edB3FV5ag\/aqrUPO1ryE6dhy0RAKxSAR1pgQkUzE6pUkGUhZrIepIKpFqNbi6v5ifIedMU63BG4DWA0mFAcUFzOMxpCYpbUJw\/oP+K5Anfwh\/\/o7\/23MU7H3QqRGOLwTDQb0DnsowwTXTNTViXyjOew72ouXozmaRGDMShaefRCmehNXagfy8Baj\/wffh0XFjI1KNYr5sXH1sIpHMn491v\/gtXAuIvPk6MhdcJBKn27IOHb+9Eg3nnwNj7Disu+5vqDnzc2i67Odwsp0oR6NAdQZoapLayPCdKZNgZ7vQsmQhmk48Dfrw4SiXbcTPPA2li69A9dx\/QZ8yBSvvexDOymUwa6aJ0wjVmWSvLJ9\/7TVUH3gAXBkDrVOU\/GhjISLo0Ow82ua9hLqDDxOJih55XKLPq+W582AOGwVwUb4gCCsmAgyK4FKIgME289lWdCx9C0aMwGVV+kHasr+xiIVUYwPitXUwq+pQV1sDt6ZKJGNG\/BhoYx+pfQyUtizl41yleLAIgdfofm8yLAxL9atSFNwMNh+PSX8EoAt5rP7r31F3+JHQmW3dpfpYLbiW29kYVdJTxqDpf38OrWmYopsPfGyb5Xo+UAKhK5FMWJDqZl8Ql4IsG6ja+3WvMp6N74g\/qqhT5T3sP8CN3xheCSnwgaFAz7f2gRnSthkIJTQyL\/6jQ0T+tn8jccwxiN73KAr\/uA2pH\/wXYvsfAPv117HuD7+HVyrCiZugE4dwrQ26pVxgxC2fMT\/LZay7\/WZUnXQMIrvtidW33yb2ITJ\/Z\/6riE8YC\/O446WW1NAR0HIlgDnQGCg7mpCwUo7YOgAtU4vM6WfS9VBkCY3S1YvzUC4UEdl3D9gXngh916lwO7vgjBgGI12j2J8waBWsN3HoQWj7+WXwjv8k0NAMz3WU84Z4W6pkmlrJQ2rWLERn7umPTkluer4TuaefRt1Jp8r53lLUBmTY1Anh6hrq9pwl\/zdVtP81Jcf7ZwNPVh9gBM8kV5oM2FchUjboBYfqEsVkleBUgi7zUQ4ENaSHOh+oTN3OgoTxiu2vMmDoBEt\/EsE6WZqOG2YiDSTSYqvlZbNchNfRDntdG4pL34a3fKmo0K1ME+KHHgKtukbAj92Ttnq5uwzct\/6U2fCY7cq9gq7+9YGGueGt4ZmQAh8YCoRgOKhHqZxbCGrCMteug2FriO++J4oPPoDaz50GY3+uswO0ziw0xxajvHIWGbgBxWuVjU2WXBdKgGvAmLE3PN2EQ0xyXBFdtLcXw+xohbdqJew3FyO\/bCkyJ56oKqbH5rARgOWnehIpzALiljD32smTsO6P18B2iqg\/7lhEZ0yHNWMvpQKNRtBwxhnQmpW7Px07BJyZq2233ZGYNg35a69D8qJvwqXzRqDeY8RNkYSSSB99lAITWfTP7OUesrfdBr0hA2Pq5N7wMjAhBnFWTUHo\/R5Ilnwevbm1ggXSlCAokiilSqX1VBDYW6Aj2f12WYuqS+1VuiNlKNmrtqRM7yYrBXv6JUv0FErBrK9F86mnKm0yYxEEKl2\/GSWB86+f247SZ2cOLddfD\/3tt6DVZGA3NSE9cgSijouOa66DPno8YtN7lj6wqmAcvbrz3nd7j6v3\/nuvKbwjpMD7lgIhGA760REm6OSio\/3pZ2AzzU00ijLd54c2C2tm7rPsU0+h+oCDgVjCX4\/Xl20HzQWzcdrnuAYMpi6ZvNGaBewSdMeTSCVSnkD53AKs\/tPViFZnUH366cDw4coLMlWL+rO\/AFQlxNal7JMBOGhIHH0MMHYsjFgMkXETGY8MZiypVGKRCOITJgpHlTxzYsf07WaageSXz8b6b3wLxp\/+ihjbEIau1HcqWY0HR1R2yoGIzh25G\/+B0qplqPv61yvqu2DM7\/VXaER4JiCJhK2WxKtkOj21CVz5qGBLnkhKxAROhTy8pHh8AB08UnCkgJPHvvgoIKjox4XtssnNwRIM\/1xP8+LAwvZkUqMaUlddUtWf0IjU3nOvClGqjgP1M9+n1OFHIppKwqirg8RhA1B48F6Y+81AbPKkXq1yl632brDf5fAwpEBIgUFTIATDQZEqYDhkkgBqa1E9XXlgeukM3AiBj1lHiyhV1yF5+MFqyj6gSs1vUAmFPsPWocXikm294\/obUEIJDUcfKa7zrJeZD7TddsHQC78NL53sYX+s39BgZvpKCywQ9JhOFYlpu28wysDzVS5I+eAO\/2ZKgXUZZP77IrRc8lsUVy5D6uRToNFLVRKUqiGKXc0uo\/DiHHTcfSfMTDPqLrgAWlWNZJJXOsYNmh\/cCTV4UVWqG1RyZg4uWHLB81TxKcALli0ILImcyyqCkcmeSLeqNBO9ehJCjWDL8fC8+k8pVC0RUfY0go6Px70rlG71AFJPS6IVEKwLALDnmn+TGlLwV9OhR6JIjBktZ6SHjovSE4+h457HUf+N84BkTHWvX1VBFeFvSIGQAptPAc3rzVU2v54P9J2KSZIDiReEUl1ylx6H2RYBMj2WENsO12uZZlwSbSsHELK1gCH2JxP1Z4pxC5djcOflS8RtIjp8qEQw0XUNxX\/ejq777kPdFX+Ax7xqtDltC4YoHLinj\/JqUBpsb0P3zbei49lnkKirg77nDFhjhgO6geLKFSi+tkDAqeaTx0lAagYA05ilnL+94nX21Dy4PdJdqFexx\/n39QZ7\/5Qv5wnwsd+K9gMRSUmAPdJmQH9VEe9gm9z63s2IMjy3kbWG\/j1b66e0dgVyP\/h\/8Oa9jKqLv4nIp45VDjJ+stit1U5YT0iBkAKKAiEYDuJNEIwQDilKL+GWij9rFMz8dXWeqMt8dul7Kmoq5NZGkUvZjMQWRyd6z\/AlFYo+rkgr4n7\/6qvovP46ZH70E8CKKMeJjdY5iAFtrEg\/FJBxu5647xMYtHUtKLz0Irpeno9ILg\/P0lFMVyO19wzE99wLiDByBz0e5U6R2NQ0oC+sbKz5Ac8LsPXIXlKmXILXlUeptRVGtgM61cgKeeFV1UAfOxKaGVFwNlDT4hFLtSYfnqOWPMCD3dEBrFoLvSMLl3Zf3YAbj8BLpWFSYrMi6p6B6hyw85t\/snvZEnTf\/m9EXR3d61YhNnMGksd9WircDs1vfsfDO0MKvE8pEKpJB\/HgRIUmtiQ\/Yat4BnI\/cGf3U+kImFByUFFcKGIE0Vg2bIZSjyjfhGnTs5D2PrHdEe5870WBFebdq25QVUjMTOJxP4DYsIH3fIYAL4xWYZna19mSssF5jK156GHyf8PKJYWpSjrLOzUVfLq\/fLXhfRs\/I7ZU2jG7suh+4nmUF78FFLslwW2pVEInPCTSKUSjMVCCLre1otDpovHi86Glo+LMs0H7PlB7a9ag\/aYbgc4ivCgnMkCxqygL2VMEP92C7Tno9opwqjJoHNIsYC+2vo13eatdiY8cgzjtrgCS61vwzi9+icjEXRDhIvxwCykQUmCrUyCUDAdJUl+G26A0ZUXfdUI8Mfsz3wDyNrhRlHGEHqUqVchDkCP4BBv3PEnF47XloDfUyULtyq1BsW34K\/iu4Hoj6l6\/hOTWUyja0\/+NUW2ADsutqq6AAnKqI4vsZb8EUml4M6YjOWokrBSju1hAMiHSmqI5bXouGHbOi8f8qDWsqa+KWkG0htK\/bkdx8ZtIn\/wZMNYBJx9aIg6kGe2l9xxR9YkR3ATj+bMNpHKlEKbtkuHZAgrw8asZyvqbboDhuKj9zGcHIF54KqRASIEtpUDvr35L6\/pA39+XpfYMNWC2CgB6YCAosXH5LSir1vVtvLwGzYoATUEaJMWUg\/Lb+jfo5cbtnn4J4dk9pVW\/Nka1AXot6mbijQIfVZMG76234HbkUPujHwhIqauiqa5MGhgQm5Ion4WbiIOeroHMraYXqj3Wrf4bknEjNnEitOFD5aKqV0R9SedDiyeDNzbADzEAAAaTSURBVEs9Ik3y3v7jG2Acm3FKgJAexZWg0GyH6EsjpVr67zKubLmwGbWHt4QUCCkwGAq8B241mOrCMtuCApREZGnBtqh8p6lTLVxnnkYuoGAaI4KB1lQPO56C806L2GbpWVumPZVLDubMRudjj8HWNdh+MACqmb1cDi033gy7LSt1UGJU8KLD85dLMDiz5ijIkbaKndA6i9BcFThbshUwdqgAocoWIc9hG0iFsoREQI8qdoZOYABx6uX9GDhOGd6C+YhPmLzTPK2wIyEFPmgUCMHwffJEt4Vqbqcaug86oouUxLXc06ANHY7IuKEoLZivRGLJMqDkuNJzz8NZ8iYizCpPRxtxbzGgJWPoWvw6nNb1otplomImxCXoOP4yDMfQ4RhKrucyk+6\/X4\/Wn3wfrlcCSmV0vjQXKJe2ixhOsC6uWQu3M6dSSVG2ZT9dB15nDrlbb4ZpJZHcfcMlMjvVMww7E1LgfUyBUE36Pn54H6yuMxILs\/RpiGg6ck88BZga0vt+BFaqSlIcqZkbM2KolElmyUBsRJMoVqnS9LoLyM+fC+\/V15B4YTYKHVm07zYNmY8fDrOxEW5XGwxmGOEaSAFISp8CvygtXY7U1Kniheq8vQyt\/7gJye\/9AF6EULttN3qtdr30IjoffwLJ5maYtFnmcyiWy8gXC0hVNyJz1pnwJKrQtu1LWHtIgQ8rBUIw\/LA++Z1t3Arf\/OzvGsxyAd33PA7ssw8oxRl+AHDlT6LgydVtlBwbTFpUmDsfXbfdhFJVCjUTpkJvHoHYrrvBGjUSetQSibC8dCU6\/nknmi88H5plwOvM91ChsRl2JAZr7Ro499+Hqpo6IOEHU+gptU32PM9B3UcPRvXo8Si\/vUQylejpJKrTCTjVNdCHDVPRaCgQb2tk3iYjDCsNKbDzUyAEw53\/GX04eigL2nUJOE5RL37g\/sjPeR7FZ56GFo3DNSgzqq1itnNLcO2SnC+3rEDi2GOQ2XsW0NqKzjmzYX76OERTVdA8F2XPQXzSZNhjX0HuplsRH9Ek+SJZIz1Mqz99HNb939+x9urFSD39LDJHfHybeI0O9DAlGlDEgDFxvPzvXca3GvoD730l3A8pEFJga1IgBMOtSc2wrs2nAA16AmsqIoxmRlH1qWPRfs3fkaypgr7PDOVn2mvpgQ0Plo+Q6UOPlPtZS+mNVyQWq5mqEtUrlycwQbLN0HTHHYOWS\/8XVstKWFN28+sEtGHD0fiNb8Ip23Am34vOJYuR3vzRvMc7A5h\/j7eFxUMKhBTYahQIHWi2GinDiraMAhLVgHl71YJ9z4M1fhdUHXwIWu97AlGrWlXfk4oCkX32hTllFzlP9xkusSCsFCJJ4KCP+d3x44\/qBnTXg5FMIr3Pvlj78gKYo4dLeZVaCfAiUbnuJaIo2mWVpYOOORXnni0bYXh3SIGQAjsvBcJF9zvvs\/n\/7d2xSgNBEAbgPTWFoFhZ+WBWPq4vIWLlMxghMZGZO6NiM5WByddIPDbJ7beBn7u9nT2pM8sMjG2gciXgR641H7licDc2z09jdXs3ppur5aZmrJg4X+bPopxaLHKcsgReXmDG3otxL\/UslqT8WMeZxbijqGwUVX8bu8uoXBOrEsfYRvWfZa3f+vFxbF5ex83D\/SEI2z\/Ne1K\/Np0l8FdAGP41ceQIAlkEe4p5wbhNGvG0FNQemzFNq+WMMjLzdYRe7h8YF5LzSosMythkK1pF4l1E9ZllKUUcidsgsYwhq9DE2s28SRq7z+9zo9286Jz2Y7d+H9N2O6ar63+bN8xT9ocAgaMJCMOj0fviXwI5ZTjPG35lW4RUVmeJ68V8aib+m+fXIsgO7ZZjh2oz88csc5Df3zK\/M2N2LoSen\/nraG7TFAH6dfT73V4RINBZQBh2Hl19I0CAAIGSgAdoSkwaESBAgEBnAWHYeXT1jQABAgRKAsKwxKQRAQIECHQWEIadR1ffCBAgQKAkIAxLTBoRIECAQGcBYdh5dPWNAAECBEoCwrDEpBEBAgQIdBYQhp1HV98IECBAoCQgDEtMGhEgQIBAZwFh2Hl09Y0AAQIESgLCsMSkEQECBAh0FhCGnUdX3wgQIECgJCAMS0waESBAgEBnAWHYeXT1jQABAgRKAsKwxKQRAQIECHQWEIadR1ffCBAgQKAkIAxLTBoRIECAQGcBYdh5dPWNAAECBEoCwrDEpBEBAgQIdBYQhp1HV98IECBAoCQgDEtMGhEgQIBAZ4FP6cVkHenz9tAAAAAASUVORK5CYII=\" \/><\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.9) <\/strong><strong>Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is<\/strong><\/p>\n<p>a)53<\/p>\n<p>b)51<\/p>\n<p>c)48<\/p>\n<p>d)49<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)51[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>22 students in total<\/p>\n<p>R=82.5<\/p>\n<p>Let sum of marks of all 22 students = 22A<\/p>\n<p>Where A is the average marks of all 22 students<\/p>\n<p>Given\u00a0 The average score of the 21 students other than Gautam is 62\u00a0 So<\/p>\n<p>(22A-G)\/21=62..eq1<\/p>\n<p>Then<\/p>\n<p>The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh<\/p>\n<p>So, A= (22A-82.5)\/21 +1<\/p>\n<p>Solving this equation A=61.5<\/p>\n<p>Putting this in eq1<\/p>\n<p>G=51<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>Q.10)\u00a0<img decoding=\"async\" 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\" \/><\/strong><\/p>\n<p>a)1\/3<\/p>\n<p>b)1<\/p>\n<p>c)3<\/p>\n<p>d)2\/3<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)1\/3[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>5.55^x=1000<\/p>\n<p>5.55=1000^1\/x \u2026.eq1<\/p>\n<p>0.555^y=1000<\/p>\n<p>0.555=1000^1\/y\u2026..eq2<\/p>\n<p>Dividing eq 1 and 2<\/p>\n<p>1\/10=1000^(1\/x-1\/y)<\/p>\n<p>So 1\/x \u2013 1\/y=1\/3<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.11)<img decoding=\"async\" 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\" \/><\/strong><\/p>\n<p>a)-12<\/p>\n<p>b)-20<\/p>\n<p>c)-16<\/p>\n<p>d)-24<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)-12[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>2^(19\/2 +4+3n)*3^(4+2m)=2^(3\/2+4m)*3^(n)<\/p>\n<p>Comparing powers of 2 and 3 in LHS and RHS<\/p>\n<p>3n+12=4m<\/p>\n<p>4m-3n=12<\/p>\n<p>And<\/p>\n<p>4+2m=n<\/p>\n<p>2m-n=-4<\/p>\n<p>Solving both<\/p>\n<p>n=-20<\/p>\n<p>m=-12<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.12) <\/strong><strong>The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is 157:3, then the sum of the two numbers is<\/strong><\/p>\n<p>a)80<\/p>\n<p>b)50<\/p>\n<p>c)58<\/p>\n<p>d)95<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)50[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>xy=616<\/p>\n<p>also<\/p>\n<p>(x^3-y^3)\/(x-y)^3=157\/3<\/p>\n<p>Now x^3-y^3=(x-y)(x^2+y^2+xy)<\/p>\n<p>So<\/p>\n<p>(x^2+y^2+xy)\/(x^2+y^2-2xy)=157\/3<\/p>\n<p>Let x^2+y^2=t<\/p>\n<p>So<\/p>\n<p>(t+616)\/(t-1232)=157\/3<\/p>\n<p>t=1268<\/p>\n<p>x^2+y^2=1268<\/p>\n<p>(x+y)^2-2xy=1268<\/p>\n<p>(x+y)^2-2*616=1268<\/p>\n<p>(x+y)^2=2500<\/p>\n<p>x+y=50<\/p>\n<p>[\/bg_collapse]<a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>Q.13) <\/strong><strong>Meena scores 40% in an examination and after review, even though her score is increased by 50%, she fails by 35 marks. If her post-review score is increased by 20%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is<\/strong><\/p>\n<p>a)70<\/p>\n<p>b)75<\/p>\n<p>c)80<\/p>\n<p>d)60<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)70[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>Let total marks be x<\/p>\n<p>Meena scored 0.4x<\/p>\n<p>After review marks are increased by 50%<\/p>\n<p>So new marks=0.4x*1.5=0.6x<\/p>\n<p>But she still fails by 35 marks<\/p>\n<p>So passing mark=0.6x+35<\/p>\n<p>Now if this post review score is increased by 20%<\/p>\n<p>So it becomes 1.2*0.6x ,she gets 7 marks more than passing marks<\/p>\n<p>That means passing marks =1.2*0.6x-7=0.72x-7<\/p>\n<p>Equating passing marks in both the cases<\/p>\n<p>0.6x+35=0.72x-7<\/p>\n<p>0.12x=42<\/p>\n<p>X=350<\/p>\n<p>So passing marks=350*0.6+35=245<\/p>\n<p>So percentage marks required to pass=245\/350 *100=70%<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.14) <\/strong><strong>In a circle of radius 11 cm, CD is a diameter and AB is a chord of length 20.5 cm. If AB and CD intersect at a point E inside the circle and CE has length 7 cm, then the difference of the lengths of BE and AE, in cm, is<\/strong><\/p>\n<p>a)3.5<\/p>\n<p>b)0.5<\/p>\n<p>c)1.5<\/p>\n<p>d)2.5<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)0.5[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4280\" src=\"https:\/\/iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.04.06-PM.png\" alt=\"\" width=\"380\" height=\"330\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.04.06-PM.png 380w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.04.06-PM-300x261.png 300w\" sizes=\"(max-width: 380px) 100vw, 380px\" \/>\u00a0<\/strong><\/p>\n<p>When two chords intersect inside a circle then\u00a0 AE*BE=CE*DE<\/p>\n<p>So x(20.5-x)=15*7<\/p>\n<p>So x=10.5<\/p>\n<p>So AE=10.5<\/p>\n<p>BE=10<\/p>\n<p>Difference in lengths=0.5<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.15) The number of the real roots of the equation 2cos (x ( x + 1 ) ) = 2<sup>x<\/sup>+ 2<sup>-x<\/sup>is<\/strong><\/p>\n<p>a)Infinite<\/p>\n<p>b)1<\/p>\n<p>c)2<\/p>\n<p>d)0<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)1[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>Since in LHS we have cos theta whose value lies from -1 to 1<\/p>\n<p>So LHS can have value from -2 to 2<\/p>\n<p>RHS will always be &gt;=2<\/p>\n<p>since\u00a0 2^x+2^-x =\u00a0 (2^x) + (1\/2^x) \u00a0and we know that sum of a number and its reciprocal is always greater than or equal to 2 if x is real using AM&gt;=GM<\/p>\n<p>So they intersect only once at x=0 when value of LHS and RHS is 2<\/p>\n<p>So only 1 solution.<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.16)\u00a0<img decoding=\"async\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcMAAAAfCAYAAACbDaY+AAAgAElEQVR4Aey995Nc15Um+D2XtjLLe1+FQlXBew+CoCfoRCeJIpuUa3VLPaOImYn5oXe6dzUbu7ExMbOxEz3b2x1t1TMSKYokSIIEARIgDAnvvfdAVaG8S\/vsxnduJgBq9R+skkRl5sv37jv33OPPuedpQRAE+MPrDxj4Awb+gIE\/YOAPGPj\/MQZMwAOgI4AmaNCKqtHjcR+BrsMPAF\/XYWqQs1xo0B9Amhb4kOs0dVSGkAM+AujQ+F9R52qAx\/E0Da4XIKRrMAIFg6\/5AAL4gYlAc6BpHowgAmhu4XpLfueteQ9Pc2H4hsDv6B6swAEQgqdpMGBDC0yAMAU+goBwcHwPATiOB013ECAio2kIEMCAFnjwNc7cgBEADtESBAgFvsBMPOkF+AkHZ8xRdThA4MKDBV03eYngqognjkmUaDxPxrSAwIOn6fC1AIbvIQhM6Dp\/dhXc4NzuTVl9Lv6VMYpffASaBs8HdN+DzjWDDj3gnDhPXeAhAIXpQJM56nD4IQAszYcu68DpGnJ\/WcIACHTCSdyaMD2DiOdHEOcuApiBDsvVAd1Tc3MN2HoA0\/CgezY8PVqgAR+Ooc7XfcDmXGWteJkvsKkBOGdCqtaZICo65apzpYp0ps7hrzyqvvlA4MAmHUBHxJsADA22lkQoIB0CLheQKyw0wYt9kKY5Ln\/h6Abh8bkOmtCOz2t10hCnn4GHPHQkAM8UvgjgwNd9eDBJOTB9UgX\/mTKJLHyEOFfPg2cSDvKQDod4Ev4hzonsLHwtBAcGQloamheBHZggmYc5XuDDI8\/cG5vc5cIVHgnBcDmmD0NXdOoGGgItgKkTP4HQBbGlZqpoW7Cn3edR0lIRpwJ8kXdl9kKggqciruTkwh8eU6tWPEoaVEc5Kj+RNgkNv5PHCBfnJS9NF1p2C7\/pngsynEMahgaLa0Y06AFczZMxiPHi6nMMQaOawjc\/y\/0Dta6EQTOElLneQhKkfy2Q9SYt6ByDfOLLm\/CMG\/BOHgwyKmlU+Ii0S\/wV6LIwUb655LmA4wewNVA6CMwCJziHAFwjy1e4kHnpHI90wcENBASE8pDwBWEFFAcl9wn\/mjKmYJnnwUYAnkd4BLJvLom6uaCbf4h5WQOZGWlfYZN\/78ltuYM6UxAha1ZAMkfQCBt5hUvpQ9dCIjehcyU1BLoJl\/JJE3YU2QdZW+oX0qiu5JTnKLzrlI8KbI\/yESnoXgjwwgjMvIh1coQQ1L2ZfPOD7wfqvAI981eBLwigy+J+83yu6O8QL7FDaU9IuJCcqKYU2AMCimgpkG9hcQuQy4pwVCJKnSGHCn\/IGFSRjufB5ydCRynuKwJwnLxiDI1nUUkSvCKyC6Deg4NcQeIVskCgUaFwfL6UMuc8gsCjfCyc68HhCRrvTuUlN7iPA03BV5wb3z25gQvfd0VxcWbUB+qcAF7gw\/Vs4agCaKJQZej7IytUi8IvzoszpFjlXIWvOBEEAf+oY\/fA4wfe+N6JhdGFKdRakYqERylciz9TuAiKZdJyVPN9IdiAgtUPCnMhjl3wmO8FcIgkmTwvCeCq1VICgMdJIoJBWUUF1721pLEDuFQm4DoDvpIzFNtwuR5UMhwmoDAgHRQA5tHi54LxpX6Rs4sn3RN+HLv4UkKX0tWD4\/nIkT85xyAvSlvdUA1PqOWT3Et9LhyR03waJ\/xEuvRpUCh4yRYUELrMg6aAkJUSTLBlTOJPqFBYgDRKuaTBp4HJ+XJkTtMLCqTPBfIE3yKANCqrwvoHSnjQWOA1xGtAQ08RighaIZqiMUH4RIH7Qq8CdQHXakGVSahwVqSSAgaFeNWx+78U8S6IKqJa3u+f843DRUoWXBATxf94f\/VZoeTeiIKMAg2rVSmujpJDchW5VeFNfhQMcLTiqqkxfxcSfr93H\/mR37gOvE799o1PAc0ipWRJmx7X0g\/U2oko5K802IuSQ1bm\/l0K5Cv3FB4hzD7gunB9H47LexfEK2g8eXBJ5wXhrHlFHBEqRTscS6hBFE7hVnIDwiAf7r0pWihya+E3memD1xUPqPf7GHxgGKHzb54n34rypvhTYb6+7wi9EVIajXBI0\/yRdKvmTUNC\/nGOItN9uI6t5DM5iOeLvFI4F\/xTfguq8wgoxAvzvqcbinAU3x+gJfKBKGKuX+EfB+Dx+9+LF4rZqi6QOd4\/LgoQOj0TalEduk+hEkCnBn\/wPPn8gNTifO79znMJPY8UF0a9G2JgaqBgFuu7oL1NwyxMQINI9uL490a9P\/qDd+JR2kBFZSS\/8YssagA6ifyRNjUhEC8QprBSwf9SUBfBLcyhOC4XSYGoTqBFSyIis5gGzR16m7R5+QpgyL3uDyLjiAK1hIEVFApmgZt4VqiA55vQOeY93BXG+b1vCp88VxcC05QwVGAUcA8YhrIehbK4XJpRsOACsdiU6KVw0aBzcQrzIwlQ9GsIKUtTIaSAekULGr1voppUq5tiJBoFT4PX8iVBA59+kwudFrRYiLQk1ej8TgVEQhUiLk6L95MXx+HBorV7\/+i9U+SQslIs4o+nS3SAGC68eF8lZopHBEdFGuAlxSmSr7jo4hEKgxTH4dlhGAF9QN6GPMJxTTkmAp8RBj+AodN6JbVRHxahUO8UgAbHJZ0WPSItAjNg7IIiNwJX5z08WL4Lz6C1TRhIeXpBESoYTeKFBohJm4zj0YOkFxTALAgFQsg7q7k+CAs9gAfQ8Y2PQiz3kfeN39SX338pxxdqKsgAgkdfXUkEXikQqNPU2vJzwci8N6YinAfgpptFmPh\/kSYUHDLe74GvMKz8olZQRT7UGA9ewDMVvYoQL9IiCUk34Is1ws+mRK3EOhGJUpjLg0M98FnEkK7D0HTx2IlrLgnpnKtLmESGEyDDEENIXU4ZSH7g+AXY+CZ0qdad5wlGZc35jfBzjHsYfACS3\/+xMGP58Ru0Ifcq3vDBazl24Sr+TEXmerBCiueEb4hi\/kajUjPUmhVAp1em2EmDYRiAYYpRzhGDgIqKRr3y3uhRk28of3zfZPANuqVk7YMQFT9TngjPFuhLvsu4Ch6BTVCn8Fq8ju\/CwrKUhUkpRBe\/MPRliiVscTFlQRQzFREo7zLrbyKHI5D0hSHoFjzwEmGhMbTqQqenpCuC8F0PhkFlQdyRbUzltYhlS+wWZlgAj2eI4BQ3mhYXBT6DTzy1ECIVKcWwqw+HilcPgXEtV84KCbsWyUZZ0WoetMx5GwomnRaZxrCJDoNjSBiAFgZlky7fxcNiLEuElSJdXi+MIHdRVpwDvYAXhRN6s7wvCUYRNRW3pcYVoceQUAF5lJvFzzxUCCszDCZ41mhnKp9Y4zFDE2vUI8z0nl1aqQTaR+C50A0ThqHDoo9HQw6W4JMesHgynIDcj6xFa0KX8BRMNRdShKIKMnEg4RwOT2krgVoJfXAuPKjWzuRIDDcWQke+S2tPmZcSiiTjyCAyJcX48jNhKAZw1HCFIQtfFLCifKlYGCLhLRlWCwwVBrsPRoGSeYK6jismsAn4XFuGbUhzxXsySqLglAl6JkIwJTKsS3iUdGFC96ngNAlr+kbh2oBBd1+MStI6KVSsZ4a0hZbIZwzpBBKKZ\/CZoQyZLwWHmCMkMyWEzIDCoBCmYygf5JlChIKCk949Q2W6Mi649sQGaV5wch99alEELwUrVgRv8QSFG0UEJAQ5UX5U49CEKngwwrXF64rvxWv4rv7xOsXt6ogSivfvXRxRjAeOSf4l74nSUbhQdM97qLNIzwqeAoSFOfAYSYnv9188oGQJ8aqEP8\/T4NE7ZyxPyEKZh+Rr8WLkoJLpJo1WSeUQHt67MM8CEGqE4h01aJ4y+IgrCc+pAAFXWejSKgggpmQYAqdhIyqRqSQOLZjn4IUvhSMIrPtzuzdP0hwx\/HvWugCfGvH+X4Uf9Zd8S2pRLMiJCjIKJxfmWfjGc+Q8ykUzJHE2X1NGYGAoD5q\/M3JGpcTQPf+R5yQyxMijocOTyAuXuqDILMoM8kIeYpc7xLIJzaIi5M0pI1QY9f4s1CeiUnQC9XBB74jyLcgg\/iYkpab7jcsfwC6HodAvxLMMDZlsBv39\/bh+4wZGR4bVRGRhCqvHoYTxlMySv3ITUXdKnUg4gjFK9SLB+Z6P6ckp5PJTSqGQ3Sm8AmBkeEQENcmsSMZcWCXkiqOoXwR4wS2Xn0rl\/mJReN8Twi7Dgjl4dg59t\/oxNjWtEBaQcMSxVwJZQnpkEUXknA9VF3M66o5qXgRN8xwEnIsO5LIpTKezyLk+8i7DLMWzKag4PqmfITRfvqszOBdCrJS34zrw3DyGhu7i5t1B5D0ymYJOqR6FYzIQj5K47nlzIux4vi2hJNv3MDU5hLGpScn5igIkK4lFxpNdTKemcPtOH1KZHEzfgW4YcMXw8eC6eQyPjsIphDKY0+ScqCwYSoUuMWc5RmFCOH1dg2foonxlGTyGNVwMjU6hv\/8uHMcVo4F5OMLO++bzeZhUGJLbJG7V3GRgWWoeUTTJT8W5F6lArZSCjcd4jkATAHYmBeYkmP\/UmBcWD0MtDFnrniElFxboRtICpCOGGH0MDY\/iTl8\/8rYKfxIC27ExOZmG71kSKxeDiOFihtTcAJmxFLw8oygGfOakKGBptHgO\/MDFwPAw+gbuwuGYtH4RIO84mEqn4PnKROP8mScSKvTymEpNwvWYA2Zel+tXEAbCa5wA4acA43wVIvJ+HmOpEbi+I\/jlWUU6IqIEV\/fe+aHwa\/EHXlB4FYYsfi1gWp1f\/E0ue+CM3\/0ooBakp9hpXIp7F5GulEIkFStuc6FpeWX8UdiKgqCgU3ek30wIFKcRpGLKRNGRzFEMvAK4Yi5wnrxeedFcTwl5F\/BAHsimUshMjAm15Wh8GBocx8HE5ITUInBtJP8nZxBSGnNFrcDc\/TdnLjIqCDA6PCyxUfnZoCSg8aJgI0vxVrkCjXMQGnGkBlKeLJZYwTTwCzfgtcXPHO3efcmRjOLcO\/BNgH7Pt2+eeU+qiLwqSLwCoA9czPs\/+NIMOI6NiekJ2IJ3GncqqsLIImn8zsBd3B2bUHxMXtM1TE5NwXM94ZPAd8RhGZvOwmP9hZ9DanoSge3B9U1kqZtCXCxiVdF8keuLoFDZua4rXjwjXLz+2rVrGBoalOM8jyRAw1JIoXghVez\/8otf\/IIDSnJWYV2Q3H93CO9t\/Ahv\/\/pt7N61C1cvX0BldTUqq6rF6qflLAtNj4tHCmEvGbsgPHO05uj9kVDpkRUWbzqbwf6D+2DBRlVVLTyNHoqGvhu38OtfvY3W9naUlpWJwCraN2QSLpoMUfiglAW\/MGHLwpSwKDnC5XLCdK+FzwJoloPdu3bj\/\/5v\/wQtAfR29chgFLC0qzUpEOHSK6tbhDy9AyoxCZUxNFKcgoHc1BiOn72GUDSG\/msXce7KNTQ2tyASColnQGDJuHlReA4MjeOQwFUYWP5KAUeAvGcjYoYwfrsP\/+v\/8Z9w7Mp1LFkwByURFvfI7MiTQt9UQ1J0IHkldVCsLN9G382L6JvMwQxbOHfiACayNsqra2FZhrqeQzBun53AL3\/1Dt7+4BO0tjShpbEWrsCmI6TpGB3qx959B1DT0IqSSKiAeWXRu8gJ4+l+SCysgr9YzGLJuaanQddyGB4bxv\/+X\/4Ge\/cfRHfLDFRVl0EzbJw7fwtffrkPdbWlKCsrlYnRU2KxFmfElxJ6NCK4QhpcTZWMyG\/CCgVJoqhCCXwJp1AHuvhy2+cYG5tEc1sbPHoChQC5GlcpmntCUZGQeABCU5qGiYlJ\/NVf\/w1279mLzo42VFWWi7d46dJl7N69B50tHQibTOg78EMMoYeRGp\/Gzg+\/gG5qiDfUysobEgbOC65u3x7A\/\/af\/itOnj6HebN7kEzGBPr9B09g\/5FD6J3dhbBOa590SP9Ax\/h4P3bv3gXfC6G+vkryMFIYVrCwBR9kL90RJaIHFgxTw+mLR7F1x2a0NHagrKRUOJuClZEO0oCKqLDAQ0kHKQDTi8KWwl1QJmvBjxT7\/KcOFDxOyZ0pr4qwFi+hkBFe4RCFz+q6whlilBXHpzFTyA8UPBqepUuBUh6uFilEpMjLDwwsZ0ieRxXgiZLkfUUqyf2pIKgwxeEgZQq7kJY4FxpElBmhe7AyMnX66FGM9t1EeW0lzl4ZRDQWx93+Wzh+5iya2xoRZljP0\/m\/hO9oLEsYoJjzKxShEAoBSQfSkxPYv+srVNbVoiQeF+GkWZrUH7CgJki7uHDtNsZzNkqTMZDjGJmh0SzySWRYIW3EOcgU1QxEbpPuOW\/+RmwGjGIpLBYOqjeZf8Gbe2BdlHdfPIWZWa4mb0LFqPjumyF+CreCVhFZT37XceX2JXy46SOUl9WjsqoSPqNPkkM0hY\/+r7\/6f+C4LubN7oVlAPlsGps2fYxQJIbamhp4bg6fbduJnXsPYuG8mXCdaeze+iXcSR9lLQ1wdAdh0oBnqByrzKcAS2FuggHiw9Bw5fJFvPubX+Htd97BkaPHEYvF0dLSLBEaoYUiTQhxAiaRTYYVIcAEpQ6MjY7h7\/\/pnxAvKcdf\/MdfIKwH2LrpQ7z37vv48c9q0FRTjrGxCWQyGSRCAfSaRgS+gVx6Srwj5CahmQaM6iYB3p6exMj4MIJQCKVV5YjESrBs+Qok9BQCN4vhaRdaOoeRgRH03+pHPpeT4oKxyUmksmlEo3GUl5dJQYadc2DnbXiug+qqpMSXaZ15QQaTYxnknSw8LY+KqnZYIeVKUxkPD17Hjq+3Y\/7KZXho7VKM5aYQMZOI6BoydhoI0rAMA1O2J1aMk5pEWTSJ0jIqcQ9T6QATE4MIWwZqKmtw9cpF\/NVf\/wo\/+dm\/wsqeDlS2aAjMMALXx\/DEKIJ8GrF4GG55LRwng4g7jWxGx5DtI1aSRG1JGSxhblbU+nAyk9i16yskymvxvbfeQmkyIda663joo\/U0mVMGQmUCphsgm5rEWG5SqhPjZbVgkOLzTz\/BaKQR33v9Vcye3YWsXibh1rGxcTjpDGKRMlRUhHH12jmcv9GHZ194Bt2t1ZjOOYhFDMH7sO2itLQEa1csghWJYIpekBNgOptFMhLAqgpD1yzoaQ+Dk0PwjTxKKxKYQhyxSARW4Aq9ePYUjh4\/grTr48fffxMt7S3CXJnUGA4fOYqSZD2qysswOTaGkmS5sN1UKg3DNBELh2FIGJ2Bdhd37w7g6IU7WLR0CSoSUZVnJsvqQD6dEQs7HI2J4Etnc0iEDbQ3N2D77q\/Q2NWF2toaMBTF0Es2NYHxkWFYVlQUOA25ymQ5EtGIeJK0NFzHx+6du5DN5\/Ha62+io2OGhPTHR4ewa9dudHX3irJODw8jXplE3g0wls2gqqQE9XXlOLh3D9Z0NaGstBSaxgCPjyCbwfbt25CsrMYP33oD1VXlgJfH+NAYDh06goceWwPXySFlG4iEVCXwdCZANE5+CePYob1obWtEPM4KVuaqc8jmHcSicVGQ0w5ghQDDczCe1TGZSWF46Ab6h4ZhOAHCyST0RBmigY1cNo\/BkQkwP19a14CQDnjT05h2csjkHVSXxmCaJiZSGaRzOcRLy5BIRKXGh7LAd11k0uOwTAtmvBy5nI0s8Z5ISLGRobMqmtEeJTDT6RTCoZAYiradg+16iMSiojE1KYrgeClMZ3JwYCKWKEVlCb2FFAbzFpypLBoScYQjYYyM9cP28ogkquBFS6VqNyQVizp8x8F01kbKc6ClbSQqymGUxMSZSKUmMZmagKlbSNTUw6CGdDOYGJ5Gyg6QqChBeSyKrs6ZiEU8nLl8Bv\/y7h68\/u1XMb+nGVZFLezcJDzOzaiE7nPNxxHSwygzwpiYHMNwfgoxowRlFeWIkDhpketAPBbH6hWrYMXjyE5n4OZcTNoZMAVcVVKK6ZEp\/PPf\/SN61y5HZ8szyGdtjIyNIBfSBPcxIyrGSSqTxej4KOKmh1g8CT1aiogeID09jbupDCIaUFFVi1DIgJ3NI5PLIJulLKxCzvUwMTkpSquyqgohQyU4JATsM8JliFFg+A7SroeRkVFE\/DTMkjokS0vh53LIuYBtp+A5HpKxSkQSukRK0mkH6VwaQ8ODGBgdRDqblwiYyUi+72Og7w6+\/uorLF++DM8+9dQ9w3zPnq8xNTmFpsZG2Pk8Pt74Af7xvY1o6J4F23WEJ+tqKnHywD6UzWlHvCoCl66XE0J+mvQyInU6jusjFI6irKwckUhE5sjCnIMH9otM+i\/\/+T\/j+Kmz2L17N1pbW9He3ibGMx2wB18m7YeCmi846TquX7uMnG3jxQ1PoaGhDqbv4cWXXsCt\/lFEwxEM3r6B32z8FNeuXkV9aQhrXvspqqqrsPWdX0KzIhi9eR5ZN8B3\/81fortUx7bfvouD5\/vhmiGsfWQdlq5Zhc+2bMGqmTUorWrE3767F5k7fYh6OeQzebG+rly6gs++2Iarty6htrYZL7\/yKkrLY\/ho4ycY7B9Ce2sjXnxuA5Jl5RLSOnfiGDZ9ehjT2QlMpu7imef\/BA+tfwhxVrYHPs6eOoCDR\/agcijA3KXVOHT6Nh5e\/y0saanFlj074WMSbbWN+M1nJ2GGIxi+fh4t9e342U+\/J1b02+\/uwtlzhxE1AqxavALTIzdw7NARHFp8CsbEDQzkNKx85DFcuXgOn2\/+DNN3b6Clow3rvv8zpIYu4PAXm6Dp5bjafwMlta348ff\/DE3xOA1AWEaA4ycP4R\/++zsobelCanoKYb0GcLM4d\/o0frlpE8xpHxXlVXj5Zz9ANp3FxvfewaWBa7AcD209i7Bi8XwcO3AEl3AD85ctAvqPw0+2orKmFVs+eB+jdwbQ2tqNN159EkcP78GuIycQLS3B6MV9KOt9CC8++QiunT+Lr8724\/n5FTh04ADmPPk97N64CV7Ox9DIICxtDE\/96FXM7V2BPZu\/wucHP0Os2oOnW2hc\/Dg2PPGYsmpdD\/3XL+NXv\/wlBtxqjE6mYFLimj6uXb2EO3fv4rvrn8PN69fx8Ucb8fiGFxCKJ\/DJli\/wxJNPYN6sLuUB0X73HAz23cGXu\/agdUY3krGosuwkrKfjyOGDOH\/hIr731g8xlXPw4cebsX7FAvT2dmPPwa9x6NRpPPX4o4jSGwhcnDt\/Cls+\/Bi2oyFFIzCSxAvPvIi1y+aLcoXv4Ma163j\/\/fcxkrLxxJOTwtBUkhfPnsHIyDieer4X169dwa6NH+DF730Ptz0Pn+7dix9ueArLVi\/AkXPHcPrqLSxfNBdR0Qg2bp4\/g40fvA9UtSOVchCih6G5OH\/yJPI5Gx1tzdi5fSuG0jG8+coz6Lt0Hl8cuIzHn1uPubNm4uMTb+P09RtYPH+eZE5vXL6I7bsP4cUXX0RmehSbth3AY0+sQFWJiY82X0eifgyjk7fw4Ucfwh0bQ21nF5557QfQMImdn2\/HgROXxfBY+cgGPPnwChzYsR1HLg7j7vg03nj5cTGiPt32JQbHptDe1S38X1NRirxjw\/Rt7N7+Ba5dv4HX\/\/jnOHjoGC5dvoK33ngdiXhUojwiVTQN2WwWn2z6BI11dVj\/yMM4ceoUzl+4jBde\/BaSybhkaocHB\/DpRx\/h0tXryPoWSitq8G\/\/7GWcP3cQ7x4YgpHy8f3H1yNkaNi4ZSNGM8NoaO3BI8+\/hZl1ZSrupfm4cvYs\/vHtt4GyBIKBabTP7sHzr38XmYkUNm3dhDNXzsIKLKx\/8Q0sXjYTlw5\/ha8\/P4nbw2l0L5qN1771LM7t34+YlcPlqbvYu3cvWutr4WZ6cWo8wPyyCUzfGcKKZ36MUmSw5fNPkKyeiUdrWvDOp+\/gxGg\/6svq8dxzz2PuzC4YDGtDx9TYBLZ+8gmWPvkYdm7ZjqmJaQymaEx4ePn5l+BlAuzb8zVSuo91K1fg+pnT2LVnB8bz01iwcDFefGwDkpESvPfexzh4\/DBm1obguBqefPGHmN1cis+2bMWuY+dQFTOwZvXjeOjRddi+9XOcPXMKgWFi3aNP4OylSzh+\/Dgi0RiefPIJPPzQ6nsFQYybEFLm9vLTY9j42S4cOXYCUWcEsdpZePOtH2Lk+mV8uesgDMvFwPVbWLZ4Pb713Sck+vPue5sxMNQH35rEVHYKVpjbOmjrqArqz7d8hi8+24pHn96g8oaajunJcZw8dhxLl69AabIMdwcGMDWRwqr1D+GunYHD8D4imD9\/Pq7sP40zZ89h6bplsJGXzXAnj53E5zs+Qtb1YDseysur8OzzL2DegvnwJMUEPLRuLaLhEKrr6tGVtXHw4CGkUimBjWkQ1ks8+DL+4he\/+AUP6bTQmOfRApw9dxE5X8e8ZctQEgnL3rVoxEJtfTNsz8Nvfvn3ovTe+v73kctM4NM9p9DY1ol3\/ulvsWDRYrz84tO4cu0GbkwHKHWnsOW99\/Hqj3+Klo4ZyLkOKmtrsevrnagrNXHi5HmMOBH8yZuvYWpgCBcuXsKipfOx8ePNqK1rxOMbHkb\/4BiOHj2BmvoKfPDhx+ju7sGrL76AkngMgWnAcVMYuH0VLR3zsGLVQqRSo9h38CZWrF6LkogGM\/BQkszi5tAQlj7yEma1RPDJ1wfR2rMQMyvKsPvgTtwdvYVkJIp\/+e0XeP3Nt7BswXwcO3wa1ZVRXDx\/GfuOX8MPf\/Q65s7qxtTkNBrrKjEwHeDxZ59BMHYbJ6\/2IVlVhU\/ffxdLlyzFc888huMnj+PcWBbJmIetG9\/Fk8+9gpVLerB9935Ea2eip7lOwggBMigJA8cvj+HlH\/0x5s9uRVh34GWz+Ie\/+wfUdXbgxQ3PIR4rgVkWhzc2LRWsTzzzOOpKy7F12170dHehJqGjvHcJFiyajfMHtmLE0XHheh+8XAqvvfQiEokkYjENZbVRDBpVeO75p+CPXMOhS6NYOHsmjh84gAk\/gd5qHft3bEPj7BV49+9\/jc6mZrz1Z2+i\/8oJnB24gXi4AbdhR\/YAACAASURBVDve3oZvvfYUFq5qw\/sffQq9sh3LF8yDabsIU8FbOdwaHMHKp17CI6sWI2Ya0L0sTh7eiaG8gaUrVqI2GcOFs+fw9b79OHvxCkorqrFu3SqELBOmrmF6YhBffPw+tn2xHftOXcfASFosyfaWekQZZ0GA1OQE3t+4Ueju9sAIduzcieeefhKxhI7+W5dw8uaUMEipwVC+jcrKJBYvWogVyx\/CqocewuKVq9DQ1IiIxX15zOOp\/XkT01msXf8YVixfjpKIBd3LY\/tnW2FGqrDiodVIlpi4eOIQTh4\/gx3HL6K0uQ2PLJ6FSDzApavXcD2vY1bvDMQ0H5aeR5DLYTTt4olvfxsLZ3chYjIknMeW336I6tZuLF0yD1evnMbWPafw+OoVOPblNlweHMfqR9cgYeRw+\/IR9NkJzJjRjZgBZPMT+PrrA6isqMDYeB8++ng3untakU4P4NzZDJpnxHD4xHY88tAr+NaGx\/H57t1w4pWYun4CV8+ewjMvfge1dXV475Od6GxpwZUDX+LinRH82b\/7OQw7i3fe+Q0WL18hODp07BQuX7mGeXNnwwrpEslIREP4Yvs2HD1xERev3MTyZcvQ1dkuHqUKQvOvxPewf\/8e3LpxHT2zZ+HrPfvFk5+\/aL4UEdE4v33rGuA6ePLJp9DSPgNbtnyBtoYY7tw+j73Xp\/HzP\/0panUD7\/3LrzBr8SysXr8ax05fxLHTt7Fu5XyE3KyI88tnz+G3Gzfi6ZdfxvPrn8KB40cxmp3G5UPHMD41hjfe+h4ioRg2f3UUDa1V2Ln512gob8UTz78IhHVUl5Xi\/IFDcNKjmLGoB6NuKV7YsAGOPYW9F\/qxoL0E297\/Ai3z10HP38WHn29Gz4LlOPHbj2GVhPHwi9\/C2Ogktm3bhpVLlyLONIehY3xwENs2b8WM2T3Y+P6HqCyvwI\/\/9I8x0ncT1y+cx8q169A3MIjli5cgmUhi05ZPsHL1cixfshjHDxxELp3GrWt9OHf+Ml7\/4WuoLdOxedNn6FmwEjdOHMTFq1fw9EuvoLo0js2f7kJr82ycObYPg\/19+PHPforBoWF89Mkn+JM\/\/RN0dnWKJ9nW3CLRDUOKF2l7slAQSE8MYDiVw5p1D2FeRyP2HLsA04whPzmGnXsO4AdvvY653b3Yt+soausS2H\/wa2SmbbzxR68jbY\/j\/KVzWL7kcdRWVyEIcgjrBnKpPPKuhx\/96Ieor6mBZei4cfkSzp08iXWPPoJksgwhM4SF8xciHwcu9F\/BY4tXIG7GQe9y+NpFXJhMo2PBXJQwkRVYqK6uwIKl87Bq1SqsXrMOi5cuQ11jo0Q7GDFmoQ6ja\/FECexsDhs\/\/AjZXB7r1z+MaDQi+cLfVYYFz5D6kT6iCpeGIhZyTEJK8EoZXoGTx+jYFAYnc5gYHcFz39mAtvY2VMbWY+tffYih0QlxP5csW4LW9np0dHTgxHQG5TUzUF1TjV\/96n00zujEmvVr1QZnTUd2egpTk5OYu3ApOjrqoD3yGK5du4mJsTGcP3MBg0PjuHTzJIaGs6hvaITre2hqacacBfMk18QCFhassEChpbEe+08M4\/Mv9+LOrbPQ40thM0xBT9jUEIlqsCK6hLVikTwczQVZiP68xU3QMR2m5WPm3Dno6OlCqe+jsuawhAtu3uxDY0eLWOgUwYsWLMKVEwcRikQRS4TgD2kS6rvZPwLmHZYtXoyahiRWrF2BTy+Ng+Gu2Qtmo3v2XFRERtDRUofhlCsuPhdb032M3LmERHkVmmY2IRZiL4SUVF3O6e3FxwcPYOjkNaxd\/ygisRjqo6WYGB\/E5k8\/weCla+jvG0VJLIFsNIREeQXCYQuWpUOPRVBSUYMvDnyFt+8OYtWq9SirakMwOQIjrCOaKMWyteux558+xcVzF3D11gBWPrEKJeEBmNw0m\/PQUdOBh1atRnV9DeobyjE0MYrzZ66hvrQFC5csQBC7gbWPLMbdUExCI4bJnIoLf2pYvJ\/29hbEo2EpEDC4p9G3ERgxEYjRkjiee\/5Z\/Ls\/\/5+Rx128+eOfIB6LSG6KRTU00sorS1FVVYmSZIDquiqUlcelEEeRq4f2tja0t7Zh3979yCOEGTNnqjykP4S6+ioMnr2BVN5GEIqKEZhKT+DmhWuAF8eUHiAfiqCzfSaS0TKpFGZF59TEOMZHJ7D60S5UlMVlj1jge8hlstATtdBMoLyiBE8\/+wj+8j\/8V0xVzcRPnn8B4ZIc4E+gvCqJI4Np5CTswuIGjjkqRQJds3oRZrVckIPmZKXZQjiiQoaL5s\/F1n03cOTrY5gcmUbvrF5Ypg4rEkZJRRwXh+7CkQo5DTU1VejtasGl86dR39yExfNnY2RkEBPpEbS3LES8ZBKNHW2YM2cuWmtL0NbZgPHpCUxePIHLV05jZNN73NaPVDqHVC4HKxTC\/Pkz0N5Ug6NXL+DMmTMIQgk4h05iaHISsZKYyAcWupGfGjvb8NRTT+Hf\/k\/\/J7717e9h1eo1oii5l44RSBozrOYLhcNYtXI5Nr7\/AY6fOI67w0N4eP0jCIVDIE4Z82X0yU6lsGP7l7hwfQDZ6RTCZoBY3ERrdzNaGisxtO8WLpw9j0ljGvp5A8PjDvxIGXI5oCTK8I+HsGZg4YL5WL9+PWqQwOw5c3Hg4hkkBiew8uEVmNE5B+WxSpwacnB3eFhkxpEdR3ClbxpLnlgt+X+GoI0YEE9GYVgRJJKlsFO3Efg26rtmYEZvGy4dP4dMAxCKxVFbUYYtR04g1JzEkdwIvAlbCsMY9kNcBd2ocExWOHsBaqtrsXrVajQ01aO1rg6XU5dZtICq8nJUxOK4c\/06Ll67BDvIIKFrGB0YQr69A8MTU2hra0PPrG54DSa6umdKGPrMyVO4cuc2BrxPkXBSSKUy4FbGsBXC3HlzpY4hnbORTCbwj\/\/8L2hpaZFICb3AsM7sJIsruP2B+WIgkSxBVW0t9u4\/gIkz+3B3iPlr5gQNzJ0zH709szAxOIqQtgdT4xMY6uvD6jXPoWtGB1LeQly5cVFKnVjAHjFNBLaNwbt30dnejpamZpgFb4yprkw6jUSkRKqHQmHWR2jI5NPIIS31blLBrhkorynB0OVBCfWCefpAw\/TkJG4PXEXeA2wfCMcSaG5pR6Qmci9PzZxlJpXG+799H+fOXcQPfvgjVFVWikdssoPM77zkkCSmmb+STHOAuvoGDO44hFs376C5rBSGaeHWlRt4\/+NtmL\/yIViWhUxGVAkymRRcm9WIFmKxGAwrhMBjZSSrDnVU1zXg+z\/9U1wbN\/DRls\/x3\/76b\/DdN74L07SghSJikWSlrAoSN87lmQvJIR5T7nz33GZMZzzJX\/p6FqFQSMBkrpMbWXXmNkbH8Nu338at8QSef\/lJXDhbimPnuV+OyWTysCdbOHTLQJaJZdcWRmRZL1\/DUxNA1BbLiPflS9IdmgFDD8mcsjaksivkA\/mUIwTEPTK6boBbF1hJFQvrcGxH4AdKRKhyUDI+4bRZYpynkmNnG9l\/IBYKa0qvXTwPK1oLIxZTiX0pNzbw6OOPo3PVKpzffRQb3\/sADf1XMS9ejm1bN2HDm9\/C0lnz0P8vnwohSVVWYVMvc6pcA1qoCzqacfnwYXy+7XMMDV\/BipWdMJCT8EJ9cxeWzWzCls+3IxSvQXdzLbThQdg+PQAgzGQ8qwVoGrkK\/4YZRSbP6jiW8+SRzU0ha6gqNKtQwDA5NAo37yBZUYO8zw43xCoryFhK7UIzVNHE4N0BBNyjFI1j6O4Q2pprC3aZj5LyUqx5agPqWrowbB3DKy8\/h\/bKGLjzgyFPlmxEkwksXboEm7Z+CceI4Y9+8AO5j6whN8yzKMRX+St29+jr68OeXTuRzVjIhAw4JUlYoQRaawrhNj3A6NgYJifGEYsqBcpqOM11EdNNOFYULkuIDRsjw\/0wwmEEnom7gyPoLYtJpxB6oL4WVaXzUrwTYHpsDNlsBrGwKtgQAuN2JVbhetxMoaO2tgHzu5ux47NtKDGA77w8S+oCueVlymU4nds2OB0dZiiKuoYkPv54G0azwJo1C7Bz\/zbcnfLw0roq6KYNGKVS+egHrFO0YYY0TKUmMJ8K44U3pb3SuBfD7LY69H2l9hOTr+xcDuWlZXjllRcRKS3FtG0jkUwiFInAlE5FLtx8Fv23+1FeViFGQjYzjUSkFMzfsCqTMlbK6OGjo7MNbW3N2Lb9S9TWN6GppUXVekjNh4H9X3+NzZs+waOPb8DzsxbjH\/\/515K\/YsWfaUkNM\/JpwpTEK6++imRdEhNZHflwreRXhWENlszrmJ6ahsvK5TDg2C6izGNbloR3ScP5XB5T0ylEIi1Y\/8ILWD3fwFdHzuF\/\/I9fwXvuOVhGCIaXgZ93xMvlNifydDjIIRYpRVf3LOzadggnS4EVT69HGbcUGRGsf\/wpNK7sgZth5TpQWVlBi0A261O0sskIYwH0vigPJJ9oO2r9NR92PifKfDo9haqGGrz0yktoKCmBm3UQLy\/HZ5\/shOupvd6Om0cul0XedpDL5LB06VIsefZFxPIp2E4MLR11OP4195cyGeyjqakJP\/\/5v8bw2Dg2b\/0cf\/N3\/4B\/\/bM\/wdyeblEsNHDIG+zkc\/7UWfzzrzdh8YrleOk7r2Dq06NS2ayL1a62spFfuVeYNRYsrKHnKtzNzfW2gxCZnSWyASs7Pdy8cRNdvXPkfKF7ir7CtQEbrlAOU5RIsyYfJnMaUgzHslsfjpdX8pbFPKxXCnzcvn0TX+7eIfnnvK8hkijDhg1xVFdXik4hn+TzOWzetAlXr17FH\/\/kJ5g1a7bgLBRiMaTa26kKaQR8mCzikBo+qfYkRBZamjrR29mInZ9shjs2gWQ4wJ6du+B5JubN7MTt6x3YsvtrKY64fHQHempr0JQM4ytnGlRmQJVY2Qk3j4GBUWz7dBtmrViH5csXQD\/sSKLXytkIR6owozmBgwcOYa\/hY9+2L3F98CZqWlrRMXsmLt64iPKGKG7fuotIJIG2GW3wpPxNl4pKbtbkgrt5IJs1MLu7E6an49L52xi648PNTcEKStl\/C25QjiknhMCxUZ5oRXnawKntX6FuTjsOHD2OOXO6YdoJWGkXESbkgzQCP42I1YH5c6twbft2fL3jc\/g5E04a6GgOI2K46Dt\/FSUk0swouurKcKWmHDt27JACjr17T6FnzWNIhCykc9QGATyjAk7eRZWXkrrVgJt5XRN9\/Xm0ttSgMkzVqMGw4vCdHL7csQs5y8LMWTPRd\/eu1ETSWCirqkZTXTMOfb0H\/QM3kc3YMJONuH36NKZ7WuAEpTAdDcylTgz0Y07nTPSOphEJM6cfk9ZrxF04lMS8zk787T9\/gOff\/AmqKuMYu6sjS5Ws0XtNQZeNUCxlCSHI61i2qBOfff0FPvr8Y0SrfOzZcw6daxaLIWywc4Ae4PotC2ZQj85kFFHdVm3zdAvlNY0wrw0i5AJ3bt\/Bxk2b8PRzzyASS2L7p5+iuaYKLS310hRA9o1qQFV9I17aUIbqeFgMoZDpqa1mbAOk+Zi1oBvvfvQJprIOWpoahJHghzF4fRId1VUopzHi0b61MGfeUsyZuxSGE4Vr6FLObmn8xYMWjsr2luGRQTS2tqEiWabsQ3JMyEJ9ZyP6x23AyeDcjRv48PNDeOk738XNaRvb3v015vzxy2iqiODmrQHMae9ApWzwVyWN5+9Ooqm7G9VhCyExPFmYlUTjjG4M5DNw\/QAhM47Zs5qw8b+\/hzVL1qC2rkxoZHTaR\/+Qj66Z9YiwhF3a50XQ0tqBsclpBCMT+E5TDUaGx3G1P4f2H5RhYGoUbioJWg4a95PSUvd99D70KHbtPILbd7KIOhM4e2kEnaXPSLVuQOsHQEtXO9o7WnDx9CnMnDMbZ89dRk1TM+pqqqX03TBCOLj\/NI4cPYW\/+A\/\/HgyjbvzgQ3znOy8jzUKrkhIk44VCJ89FMhFDW2sT\/uHtD\/DDn6xEZXm1bFdiVohaMT85gnJWqnd04MLZixjo78d0itt0SlDiqm4wdT3tqGyqwNmTxzDDWISz18dgJPOY3VCljCefW3ssXDh\/E5vf24K2qnqcOH4K6194BJlbdyQHFi+vwoVTF2FlMphRWY+vtm9HxC\/HrN4O9A\/fRknIwoiUYcVQVtqM3NA+nDlyEJUJHXE3B80NoWfhCrz\/\/h5cuDyAH\/78NVTFYuhZMR+Xrl9DSUc1hkcnkEql0VZfj6hsGwJc7rljBS2FPqsoHRoqGhAJIWfnEA0ZiCQM3Oi7gvkrliJxLopLF6\/AapuBc6fOonfRAsyeMxNffLYFX30WR3b8Bm719SMc1rBw7Tp8deQQGvr6EdeBq9euory2Xu6Xp1bWaADelJD2goWLsHLxfJw4cRqWYaJ\/YEz2UNdW02hS3bum8x4qSkvR0dSCKzdv4fK585jbOw82K9IpfbhlSORYBpGSBHpmzcOhowegxQ0cPL4bly\/ege3kETJoxLhIpbKYmE6hrr5WeXukfWhIVlShtLoW49kMyqSemHtuDcT8MJKTFkIIqyp2I4Kbg1NorW9EmWkq3jF8LFi1HAtWLVHOhM4SNcrXwhY9djizPXz00afYvHkrnnv+W1LsefjwYfT29mB6KicFNLIz4gFtaPzHv\/zLX4gZRotd9tmFEbaiaG+thj2exZE9B3H+0lk0d8zEqy+9iuraSlS3t6F\/ZBoH9u1HImbhladfQF1DOeywi56uWSiNxOCm0yhNlqJjZhcu3riJffv3Y3ioH+vXrsayeXOg2Q5a69sxu2cORm9dx5Ej+5CsqUD3\/LlYsmo1GtubcfnqeRw9dBCBl8OiefNQXlkjPUNntDWjIpGUTilEQTxSAtOK4PSJk7h58w66e+ajuakRs2d1IRGJQZf9gCYmEEZbUwe6qxpQbVXgwrkL6Ju+jY4587Gkeyk6S5sQCScxs6dZCrd9x0drQ5tUZrp2H44d2ofBOxPo6ZmDzlkdyKSm4KYzqKqtREtLFeb0dqKlpRHnzl3GmdOX0d7Zi+c2PCp7ILkFY8aMGYhaZcjaPjoa69BcXSP78\/KegXQKaO9qR0tNNSzZVErmMaWK88jBYzh7+ixqamrw7VdeQl1TA\/qGBnHw4GGUV1VLrL25pRkNLR24euEcqkvLUFffhsa6JiQjMRw7dBRnzl5ArKQELzz3LKywBduMobdzBipDYeSmUjh\/9QZWPvIIZrU3si+S9Cyt756JuO6is3cmYhVJOLk84qX1mD2vA2XxEew7dRGD49xIXILWmXOwpGcGwho3kwATo2WormrEjK4qGHoWOvfG6SHYbh43zg+jqbod4+lBUCA+9dTTaG9uRXpqAlWl5aiprlIKjT1eYSASjaOhphJRqYDjT\/lCfTlDOy7CcQ1f7z2CWT2LsXrdUljc0pJKYefW\/ejtnY05M9tlM7x4pdLphWErlmfroCKUnqW0ZDUWEWgYnx5DQ+NMtLW2wKJ+4IRMH76ew7Hjp9HU0ITh0SmE4zV4YsOT6GyqxvTADTRW1QFGHHsPnMDqpcvRXlspFcO06PuyHjpndKG1qkKiFKrLRkj2k544dxYze2cjEY3DCnv4ag+LYTZg1px2CWPduTWI40euYP2aZaivrRIYuZ2GxWyeZmHm7PmYO7MVoVAcdU0dWLFgBnzZXxlDT2cbYmEDk6kcGupasGjeAtwdB77afRTDl0+jZ0YXumfNQdrPIVFTjcbmRpQmYhK2O374GI4dOY5kPIGFS+ejsqJUStrzeQcXTl8W3D76+MNSaTo0OoiKqmqcPH0Wtp1HU3292jLBWgTNQ3pqChdvj2PdY0+jq7kKmu+I2uH2p4bqOPpHp\/DFgcOIJaJYPH8pWppbkKysQCJRhaaWNtmG0tRYgRNHj+DY6SvIaTEsX7oQ9eVxWOyJGwS4eX0A1672ozRWhYtXrmLxisV4eO0qNLc2Ipu3cWjvESnLf\/WFDehsbMbo4AQOHjqCC2fOoqerC48+vB7co5usrkVb+yyM3e2HnZlGQ1MTyktK0NHShrLKSjESZ82agYVz5iIeLUFjZwsuXD6PI4ePYHxyAovmzUdLc7N4TYwecV913vfQ2dUl2ynaZ3SgoroCuVwaoUgYXd3dEvG63n8LvbN70dzQiMMHj+HkuUuIllVgwaKF6GxvQm56CKeOHUEQWJjK2Fi5cjmWrV2D8VQae\/bux7Vbd9De1YE5c2Ygl0mLd9rS3izdcq5fv4JDB\/dheGgID61ejXnzF+Krrw5iYGAI3d2dwlP0WmMsZum\/i+NHj4lBPqd3FtoamlFX3yih1raWJrBRhu1m0D6zE109PRidHMehw4cQi5dh6eIV6JnTi3hJXPrvOrYt69w7ezbicUZOuL8vkM\/nLl2S6FRnZ6fwGI0FJ51HUouju7MHlmVidHwCO\/Ydwooly9HZUC\/baxi4Fc9Sqpbp5XErCXPUDGD54vVxb+iJ02eQzuSQyeZx5vRpjI2OYkZnB8bGxjA1NSXpF+mAoxxDVoxztzsbqXITaxaB6qsBjZ9zDIc68E0HphVD1GDHFgdpk7k6E34+g4ThImKVwdY8TGtpWFoMJdTpTh45hKGHLHGVMxm1dSHGghzCbLsImdz6oMFzmGDNwmAIyWL5rNpn4+QzCBg+CJmwwjHYgeoLww4m7PwjHi2D07RVPE9Ct6yeClMZEykmmx1r0N08fNPGmGwbD6GavrZnYNK24Zs5+JE4QjaQ8Em0IQQRtgkKEDieIN9kCs\/PIJ3KQtdiiMcSgi9aH4zDMowtYSl6F1oI6RQ3YAOxeASGqcMJctIRRNctWNw86rigR1hihCWUJhGCrAvbYljIEG+AoV0uLv2Z1HRWcpEMU3EfI40Z23GQy2cQCpvS8otVa9zryXAtE8MarVISiK7LVpScw\/CFhWTUhOumMKlFEeIWiYlRbN\/0CW5PZPH8H72FxsoSmHYaedeHF44hnM9B1yLQTA2Bm4JrxnD7xgUc\/eI3SM5YCEePYN+hI1j33Lexdl4vor6t4JsKsbMUjKgLGMylhWU\/VtYZwxebD2FiKodnX34YsWgEITOstgvkXWkbZ9BDYWk+GUcy1+zgQj6SOAqg26rNGgzk7UkcObEPO3YfxYYnXsPsBZ2wAg8Hd3+Js8cv49W33kBJIsn+FbJB09NVz1FTNsWrtnPSQ8DktiLVlN5xpoAgDtMIieUse\/KQRc4ex\/u\/\/QylZc1Y8\/AjiEQMWJIPApwcq9Ty+GTzDkymNTz70jOoTkalkpnhcZc9Lxky1y0wd0oByYbuk6ksfrvxQ3R0tGLZ4nnYd2AnTh0\/j1e\/\/Udob21CJj+Gje9vgRGU4KVXHyu0oiIfkunZO5PWP6RwgJ9ZOc3QPUPItm3DCjGUnxPP09GiUtzE7RssuS91bERCURixENy8DTtkCL2GAke6pjDawB6vNEa0iCVN66nYuaXby+QQYbiJvBH4sqUqZ3s4eeaM5GXmdc+UMLoW5JGZHMPHH36EQT+Bl175LpqTUSnYcwwVqgp5k0h5JqZcTRR3XIsATh5ByEHaD4uhGwo8hIKMFEPkvBCccBzhsAnTdRFhF6fAw\/6dB7Dpkx3493\/+5whHNZjRMKwwpYQHz\/WRmc7B1EOIJSIiNJnfZwk\/0wmRKKtg2SRBNS4wLUt4zCM\/heml0ItV7cPYLII0wfCr5LYNHenplPTYhWkiEo0IXXD7BbMyPIfbUSRVYttSxcsUjuYynK5o2wt02K4rWwTYGSqVJb25CJPnwyHs370TNy+fQ3NTE6ampnHhynW89sYbaG1tl+tSubzQQTgcFVoPbDaS92GydsAyYNtZ5OQcE9FoiYT6Tx4\/J\/nNtWsWImCDAy+QDmCZTE76E3O7Ats4EnemTnlSaO3H+Ui+VzIQkoPL5rIwucc6pBoJEpfsNcFd2zbDwTRkaRhIFSe3cWg4dOiQVOy+9tprqKurU3iSvslqQz7xtnXrVvT19eO1176r0nDSFo+VoJQI\/98Xr+E\/jk+FyH9MQxSPhblt6wE4HhxHZU3vjam2UHPdxZk1DUliM3xES1biuxT+tMtDOqxQEpbPsBHDejqiekgYQ7ZnmyGENUt6zoVMA1YyKQCpnpU+tJAlXUnYgcQIM9+oWkpliTgrLITHMmA9GoXvctOyDtfl9lzVNYZiUrSFxH41aJaFWNJSZbWmBkszpasNN3myJJutteJs70aFyryHqSEZZk7IQpaxfOKWrckMXRKy7O\/IObErDCnaNOMoSUSEWBQuAoQjFAt8sVuGWeiBYyEapZDVRYFR81NgsrEAOxHSEIiFI7IZX\/BZyCNYYXYsUQsplg833JKBCHc8LovLCcuGaUOT5Hc4aklzXD6Rg51WmFOiMuWLTK36m0KMDDIolavrMRcSQZKbIAINt4aGMDo5gXXrHkdDWYkKP9NjYmiRnT+YE5PEKx2nMCzTRHVlHVwjid07dsMzI1i+ai3mdc+QubF9H3uUhkpUOIQb6QOPT\/Jgj6AA4XASi5fPx+kz50WwVZaWSX9XuRfxyfBR8SWNE+gbysyLRwteodpsazt5nD13HgvmzcPcOR0CP\/OlLJ5a89jDKKsoldQmI6q0HsWAIh7EmJJtYBK6oqCjguLLYF6aG3tJYjSXpRu\/jkikDKvXrMWZU7dFWFhUBgz7+BqsaBSZbFoYdsGSRSgtjYnAIBOyb21MWp2TUkgbFCrKiIuXxrFq1UrcvHpRLNbLl27goYfXSTMEot12XFTXVGLWzIWSayJjE07KAjYT4Ha2kObIky1oFIY1BxnNRFjTEIuE4PlsB0bDRDVbZ49HpqxCVgRxOyr5F6EzzRQvWUJghRZx0VgEUfa\/0tVzEGQqUm0bIBwLy9zZXYm8ycpJ10ujrqYOtbUMp3qqJ6qvYXBwSPYrLl27BlVlUdXAqNBijTQBP4SwGUYywoYDNnQ3gMF8Lr1+BibrNwAAIABJREFU1iAU90J7GsKROIzAgk06Y0SelqH801FeW4UlKxYiURpTtE9BJT1i2ebRQKI0Ie0IufeNRqIe0hCmbGBVekGIiqAkLbDtAY3pSMm93yjIeR4FKl\/8TqFLAFm1SDhlayGjbI7q6sTzeI0ZIq8GoihdrqHvS6hS6hpoxMhvhEP2ACEZiyGuUtYSCmxtbcOp40dxcccuxJNleOLJJ9HU2CxwkHcS0Wih25RSWD5Dsr4qgaSjwD3XISkiY86eMlxDZWWl0A\/hky6pzHEynB5R8oYwsuCFT+jg2guuFVsrY840CzwFJEsp34kK1dSBipV0wRc9vOKL+BWcAZg7dy7Gx8dl+w3vxRev4YZ5vrgthwbHunUPIZlMKqUm+4sJT6FxhJx5\/w\/H4W+8D+tLuF+WY\/JY8R48m+P+7ksLbNVFmB1u+HyBorfle1mYmtrs6dNLIuOxTZDvwTXp+lrQWGTBEdmRwfCR1zNSoWbQGSBBcVB54oVqfcONuJwy58oFDKRtjnociuR6xco1YLPBsWFIuIvhFHGtqcioIJhE9YEoS39YkCLjKR9KLGOxCFyxUMRxFoeAyoqPIWKxC71FIswQwmXjaI9WDwWMeFJKaDNoTGWhiJ2YYfiPCeOI2ugvT9WglGYBBCskAzUvn01nVecb4pILq\/m2PN6H2VlDlCbtBz5eCMhTmdMfdzwEliHt3dj+zXXp4TEEYIhlxnfCIl61PBaGlZnsFsGKPC646pDD5ZCndAhuyNAUiIowyYwOc0jcCC5eFhkjD3rtZSXlkltlEalr8AkdLHqhsJdnBcjcVfd4tnbU4WSnMTE1KY2F4xVVkn+LaoZ0OGHFKEMXiiipHDUpehGDQ7znQCxShjoIn3hJ7AEqrSiLDdFVeJKFMvSAZC0ZaqVKZ1smUSpUFimkc5OIhctgGiVC33xMFtubheMJRGk8uYF0iSE5ssEEX7bkCfnIK0GYPH4q4LrpgB3Y0PloJpNWLp9aQWOJ19lsOINc3lcK01I8wd3ovCfzLg5vwubcOh83pFrmOaRlpFUYFlGYFBR2lu4cbDOsiixoyZs6MixESZSBUQQWCrB4wOemYpMVpzSOmBchHXK5WJARwPTzsBmFkR6oNhx5ZBbXmNqca1h4OoLO1oIWS6fEWIo7USlaEIXu6tBChjwKiiY9haXCOeWCBooJ3+S2E036qdJ0ZVsyym7253UonFhg5HqiRCRawyxz4MO2M8ix9V6yGiYsRKgx6K8Zqo2f5bjC806YG8FdWA75n8reh6exDF6XHCO7WZFI2OouzyhPEICFpLR2pD+sw0IVpei5brKpms0bqNpk3RX9UPkLL5Hf2WWKCq2g3ApSXxQccS0vMbiV8OU4NEj44nWUU2pspQiIK1WQSEWiDHL+Lo81YoiJyqJwP\/HiNa3gwVNZqtvxfCprnqeUC+EE0qlp5HI58SzZ4EAMTGn3V4BTzF2OoepAWGjDOVAZkZaozIh5AZ+tKPmFC8hH4TGaRJntq\/7QUtTlqkgNR+Q8BSni6SojQApvWHNS+K0AvigfXi+KrYDXIp6KCrKIQ2nJaJLXVFFLUZnx+30YeG\/C7YkhIvgp4FB+eOAPr+c87t2\/8JnHBJ8F\/ufnIizFy7VAPaBL2r1xiYVceAExRnOaoQw2U+DF9JakW0FemJ39GXUKYnmEkg+YOams1H0LBttK0eiTR+FQDijkB7RYRJ4xpCiYUovHz5oBl4lwsUhYyelD46ORxERnr1ELObb60lWTIFGoBQuhiBu16AXvUZiV49nCTNK0mW0fxEfhDVXXCgLEECMBUvtu2JEhB81nSJeExBBXWhSoDhULZ0NaCg0R9Mo4VITFbcR8RqHnFyxjkognYVWaYbzM5UJT2bgBbJMBrQARPirGpAHhyZYK3lOq6QwyiboBF5Avnk8iVyGdQnNzVn2KMUhioMwokqZqiitWCA0FKkkDiDhsFq3J8\/QYTjUdX1WNmpAwOFeWbQAJh2JgVggakk+UtZQALrPMAVwKBFrSVBpiUDAsmJEzENCz1+6VVNOAMfg8MmV7i2AnucmYBWtSRGXB4Gd\/02ILNaFOYd4i+fJRYGn11BCPQj+k4jYM+RsBshoQd1VJuxtSAoVNlvnK0qNSqUBlVHEPvDyuh8aeBssj3nTYBhDylWJnn0+GxflgFRWhoGVMQWcLv1h6BIHBRw3RqKR3yeeBstkyq0BVL1sqOXlqB8NxDJcaIQkEk5Y5Tz6eibzDAmtPs2EEIVWJGHhS6cjH3NCY4RMy2A+Wik6adkkbN9bL5OnaKsZnmI40J0\/jYsWqI8reZw9T8pivjF2TFbfC6wEc9oSU5u3kd6W0+LQGFhSTTrh+0ly8EI4VgSj5V02MS\/I2Q6kUrjQouX70gmnOuLS06N0ViuDc\/7e9Lw2O67rS+17v3UB3oxs7GguxcpXEneKuobmYpKjVFG2aliexPfbUJJVy5X+iSmpmKkmlPJlMTUbJeEa2LFmWRMkSzV1cQZEUNxAkSAIEQez7vnSj0d2vO\/Wd+x7RJCXbSTmVSYrNInp57913373nnu2e8x0mdtGbMUOVTkfcTmUkIa5PCz07XEcM2zCUQFGlBYKUPIlzYjB4UfBIQ\/xNqFXe1Tow+AwdnQ+UWwVAxtVkMmnShCnUKCxpOZChKiGgBJ8pRHmuyVjN4yYT54jJceMc46soFgSk5su0VNRCZb81wefkmPHFtngOZTH5Gftp1tMkrxJFKKEwfuU8uvdFkhqWqrqL4hQSGKNc6fKswuiU4KP7k8qA8EzSkggMdX82kf78pHi+1PMpPiTKUtrzmOPHNcK5UOfPCn\/VvrqWY8nzOc7muJpCju\/mvPD5eFzaMn7ns1JYftnL7APvpcZEzat5b\/MePGbOndnOl7fIgdXppuPC5MJS2JacSjJo+ucJl0UrRx5NNG4SG7katTkKFZqadAqxKK650AXCXHgaN845XMxLI5FT+5XLGTZu40JS\/nZBmKf1o9YllWmSmVhtahKNBSBJo2oPSDFv5dcWYmJ5JZHMLGlDwcR+kOCo8StzOZbSZTGL\/sM8KTDYQ1cRYCKL+KzK+pIgLS4uEdIMnqTrlcVCRXEVvsJn4HjIM1FuCu4jFQFq1LQjqFHRBaHKOXKyjEcUxiqTZywM0gLdkxx7ars8xpeaTH5WjF5GRghaES4FK60dEhQFv2inVhlZJWDoruE9WLiZHaVWQ+WHIGjJpAhDEeA0l7gopdajTlqX\/TVlSVFd4IOTuDkvDHphCDhdUao6AJ+TY8M5tomFRaZPMGyuLv5Rofjmc8hPxn7YA+2cVCIuELUPyi6Q0UrtQNIXBY9Y86xhxF0ivmhF6Mp1zPvzJ\/lD5s59HMUkZGwMjZ4LXErO2JS7h30bHBrB4UPHMTo5gejkMDZuXI1lq1YrBYq0Qq1WJCTnl0qQmndOLnvC8ksJCj16RKTGIz\/IZpsEknB\/l70XRVQ8HxwfJXzEV2Ohu0s6rtaVQWdCBcYfKp0iLAymRiElhwyiolVPoag5YuKst3BLg\/ck+j\/piQFEhmuQxWZl\/GgFihdHjSXzfEkKpCs+Gd1v3PuWo+b96B2g64eMi2uCljm3WHiSlXtPyk1sPKD0iTTHFS9eCJIgH9VmQUKjok3LnONBGlf0RGWAPVR2t8TpC33JAxvrXJEe16BicbK+RHHm3NBDI6Oj+mV8NteVMFryJ1o8XE\/yhOZ6M748Iuy4xkxGzDNm72dezaWlxso8RuXCZM7kg+KGNISLYnhMhFfjJe3LOlNjwb6xZdVnxRfUOiIP5hFDGMnAq8+ySSDNKR5iCl8aCbLOjK4qfqGEtuKlnE7ycCWUhQjIL3iXtLGT5+fthZBNfqbOM8fWHD2OsTle5GM8zvVt3tscQ76bx\/mZ1zwqxMw2069J\/\/xlbab\/Zl5vfePfvPEGLT+OrBrCJGYiYTQ3NMPtcsLl8qC+\/hY+v3IVAYbDZnqQ0qfF7TgTjaP27E3U1zciVFwgAQXUlMfDMdxv60PQz8RVZfkIw+G48KGF\/SkGLoKQGhM1FB6TwVSCkgtKzuZxqxWTUxF09w6I3z0Vj+Ne8z2peuBy0pVCwiHjpxuJjIEau1H1ne2SYXLyxNXCRZbCdCSCE2fP4UZDA4qKimRPhtGD4fEw7t3tRFbQC4tVdjWQShGYmguLSdT0+ZNR0CXGpDcSkwpYEUuRD0HuI\/mNSuuru3QV586eRUdrG7KCQTjcbnTcbxPFweEhpicnWgkcavtC8twsFktEuRr5AEJ8BtGqSZRBVROohleYGmmUBEaGJDNLJmME1fAKqcROlzcXO914lhRGeztw+PBhRDQgkJX1IMetpa1DXK8Z3Hc0Fj1nhhYEhaVA+ZpaOlkU9wxtbpXIK0dVh3m6qt\/HtCE+K59L9WtwcAQjo6PweNziZhMlgoqDwTupqVD5UBqnAjmmm1inSzPJICJVcqm\/vRejQyPICPqFQcYiYVy89AVOnzuH8FQUJUXEpSQoOPeV+RQJwaJlGDl1ATL4Y5+fxeXaE7Jf7CssQl9nL9775UeorJ4Lj0uTSLunFy+HO5PPSBakotlo9pN10p0udM724jNCQy0DQxgeG0OePxOTk+No7+xHps8Lm5YQZYTYkAy4iEUZkBKXkPvGu22yd+tyC3SzWObKeGDDNIKVW0tjRRaLQzR8myWBuKGkytjxCWlxc13Rx2uNwcJSZymXmj\/2VxZkDLHwCBoa7yJhV+ueCgavU3zVENDU5mm1cL9ObD+Re4q2yKhouSj1RjE3ClSuDVnYtDYZQs\/cEO7fkwY45lRwqMpQIFsQGRxBc9N9eILZAjogFmYyhemYsqapbICueK4xq5X2rtp2kVVDhspOqzFKd4OagkOYuckBv+TdZNwP3o1z+P3R\/+mXyzGDAvg7v7MnfMkwGtfzO4\/JyxC26lr10+xf8xz+ws\/q\/vxGPvCgDbng8XPlKjFEeK7BB9LaUPc02jEuV9eo3+S4\/M7vchPh02Y\/Hu2z2Z55Mi9RbZgXG22YTRmN8hy+zPeHz3r499\/W3pdd9\/u0aV6nJIS4MZQ5zgOjIyM48NFB9HX3o69\/AB\/tP4Tme+3CNKgqUiQwabr1bjM++vA4egfGEGFWOgs6p2I49NlxNN67L8gqtISsVhXBY6cVSAIxkuxNJzl\/YyWLqZkoklYNsTi1N6V5qhLpwPjoMP7x52\/hv\/\/0p5IzwqV55dJlXPj8vAgRujdNTYMClAIlEY0iPhUWq4cRqjMWY4+Di9FqQ2djE\/Z\/cgB946OI6Qy0sUKPT+HCuQuou9wgY2SzJiSohguaRKCnotC1sAhdFQPBhPsEwpMRRMNRIXoSvujxfFYNqK09hw\/3fyx5dVcuXML+\/fsxEaHAvYfDR49ItJVIBREoQhXC9Lk\/EI3NiLuCAobrQaxPY3EZS96cy8d\/lTIlZPisFq1jamwceswsIMWNXWOvQFwiMRw5\/Anqrl9GeGJKAfnaLGht78THnxxFJKwSt8kdE0zQtSUl\/SIm0V\/smhFwojE6L4aRYQJ8q30AWhccPTpTGSChMaLSmgFaJ9wz5EKdnJrE4aPH0NTcYjwjmZnCNhSGZuc1dqWAiGGv3PfUkJWSAvTcu4P\/+Ma\/x6GDR2UeNF3H\/gP7cezkEXR1dODD9z7E9eu3pX26gFkmhpFT9+4348Sp05gYHsZvPvoI585dQHdnBw4f\/BQX6q6KVZ+R6cfq9auxes1KASoPT8YM3ZsCyRh6ViZRbE\/RAa0oTcPN2w34d3\/+5zh38YLMId0+n508g3utHdAcTsRJj8Y+z9UvbuDixQsYmRrAgYOfob2jkw5X2FnMTfaeOC4pWGxWQXkhWLYUY6Z1T9eRJQUCH4jSwoLc1LZFNqdgtdNqc0gdS9n3pTCje1S0LJqNjCKcfhDNzSAWC6MRqWjIfjfbpTHPdcRJtcNuc4CRl8KkSPdUXI0AFe65it9At0gUp41CmianEASVMHpHdFgZL2ezwMm9I82Oznvt+PBX+zEaYYQvraekAEIfOXkW9zp6aIrLHi9DFalQUblh2SDu13K8E6qynoilBwuSQ2zMTtqC+cN+fHxBPrinSSLpNzRGXn56XFyk\/8Lxn7VQ04+o9h5tiQaIokT1bh433tMPsoHHG0zrZvrB39WPR9pKvzStxX+qH6VAtlg7wqioPdB9FcfMdFyw3C4dO45bDU345vf3IRgMyl4GKw13NF7DgV8fQyTiwnObnkMg4BMCbWluQldXN3a+tBEJLYV7zbdxs6EJybiGUGkZli1brjZruaa5\/piQmtBx8vQZgTfauulrsjXFvS1VLiWOifFR\/OLdX+LYyTOY99RSSaHIz\/Jh5fJlOHu2Fp0dnSivKBeXmR5PiDVKUjj+m0\/hz\/Rjw44XhDhi3JtLJWDV7ei50YAj+z\/EDJJYu\/lrgjRPhXOwrw93bt3E1u0vCtJ+0\/163GhoQiLsQ0lpCEtXVsBmNZxwhgXq0Gz49ScH4fb5sXXnc7IHwNQHlmmh4Tg8NITNm7dg45bncOdaA958+y2sHxjGM8sW48o7b+PWnQasXfiMQsyha1msYzuu1l3D4MAgdu58EVQkvvylNHYeU7RHSueLCoWKUiMqUHvrfdSercX2XS8irzAPLNDL41RsGHJ9+eo5HDpxABs378Syp5+C2+bATCyC87WXUVo6F0WFRQgPt+Nc\/S30j44h6LZi\/prtktPIAAbKav7RHEn0dHXgg3dq8YMfvY6s\/AzEWWWRrjJGJcYm0N08gqlwDK3dzQiVFuOZxcuktEpefh6u1F3DnDllcDkp+DRMR6YF0HeobxhJSenRkV9Qg6eWLURGpkWYuzVpQ09LI97\/2Vtoa27G3OUrhHl3tbfg9Pla\/OB7P8DTVYtw8rPzGBgak\/0vFmkmy2BNzcuXLqIwVKqqZaSAvfu+gwXFfnz68Qeou34dgSXrYLE4RXDEpiKyRlxuhpDIKCvBIGNOSaFGX9yLAK7dvo233nkPPd0dSMaJ5m+FL5iLBfMrcfb0Zygv\/2NY3axun0R\/7wA+eO9DwDOF1\/P3SmBF\/a076OxpQUF2NpYuWiHbCuMTo6i70SgVDGpqqjB\/0VwMDfcKas5AXw8GhyYxb+58qcBAouCeFKGpkrEp1J69jOH+Png8AVSuWI+SvCAcJDguRmscbrcNdrsD4aiOS1frMdDZhso5pVi8bLFyo4slQyGaRGvrfVyrr0OGz4dnFi6USFJWjrh9pxHtLa0C\/ZXtD0q+cf9AP3JKQ8jyZ2DgXiumnQ7klwbR3t6GGzc7kAiPIS8\/B8+u3YxEJAFWQhABQu+9TUNLUxt+8av3sW7tGhSHdkObGkDt52cQt3gxd+mzktfHC7iG6X3g9ox4V8zlwLmSBTIrVNRM\/R\/4y3sagoAfRTGWyAFlZPOQuVbVu3HyY11RZ6rmqEjy9VXn8pgSgvykONTs\/eTSh\/6wVf43X+pe5reH39OOkTfx4G\/rBpV2o4HfdtrD9\/i\/\/0051MU9we4bX\/koopUDU+OTGJ+IIBplNCb94txP1KWgbX3dNeQVb1M6La2gRBx1Vy5JmHFZKBe9PU04dPigWABIOXH89Fk4HS4sW7JYuTWtVowO9qN\/cAC37tyCxxdEZVUNgoEsSUCm+5bCkntdq1atQk5JKdp6B8R1xj7UVFfh+LETkpBO3D5xBWhJTI1PiCXJRMugL4DiuYuQygnCH8xUeT2EEBoeQd0Xl+DdsBFRkcrM+wHqr91AMhFDVdUcjI2N4ejRU4jHGYQxhdqLtdBsL2HtqhVI0rVjJZj0OEbHmNTZAKfHh6r5lcjOCyDTR4uHyzGJ7Tt3wk4riDk4DJyQ4AkdBYV5yMvNxY0bN7Ciai4cbrpiLYiMT2BkahJ3m5rQ19ePhQueRk5ODrKysr7SlaBI6XECZ5rB8PAobt26hfrr9aiZu0j2K7NzHIJfKuW7UsDdliZMzUzBzrxF2fLR0d3bjStX6vCDH\/2Z7G1ev3AK1xrb4PAFcKOlHvX9MfyzvfvgoyucgSLxOIb7unDvbhMarjXjXmMHilPZyMrNhNOq8kt7u9vxN3\/1MxTmVcGVC5w+ewbhyAzWr9+A6poqfPTrA+jp70dVealYgVxMkxPj6OrphubQMR2jNVEorj+yO2E0xh71jh07EPSWISwuOaC\/qwt2twv1dxpw+MPfoLJ0HrZ\/Y5cwCgb7sBJ8W1cH2js68Or6bcgpLML2F3YhkZ0LS2JYCoMmLFmCr0lkfZbadtjdcLm4Byr4KeLBoKODWJxaiiYOOTLdfYwkTMLl9eHlb38XpV+cgMOuS4kiJvo\/taAKJz87htttnVgwr1ryYQkV1jfQDXfQhunpGAaGO6WMVEGBG19cPImZSR1Ln1qEE2dOoK1nBLZUAo3NjZggWMBIK976xTuYu2wDMNoj1uUf\/\/DHqAoVgGXAnJYEas8cw\/kvmlCYF8Dt6404eW0Y\/\/rH30FGgEzUisjUIH5z4GMs3uLF9GQcF46fQFF2ALdv3IbN6cDiJU8L\/dLqbG2+iyNHjsLiciLc2oqutjbsfvkVNDc14ejBw8jOCuLi6VqRBHu\/uQ8nTp7Axl07kLVkIS7UnsVAPIlNu9bi6LEDmIy4kZmK4djhA7A585Bp9wBJ8iI1w5zlcCSMoZERDAyPglUuTv36bQwPDwG+Apyrb8Hr+\/ZhbmXxLJd+4BWZ5cqyzWVsBz3g1r8PD\/5f4ehcgsb5pkAw3x9vxlyv5hG+q8\/mNQ93j9T+u881BeHD137ZN\/P+PDZ774c\/p12X3qn0z0aX0n9Ku+r\/mY9GFrOhQfBpzH0piwVutwOr1q5GZ08Ya9YshdfFvQKufDeCuXOw8Jml2L13D8qrA2q\/Y0bH6HgUucVl8NDIzPDhxe07kbDYceXGHczcuouWzi4sX0otk8IzgS\/OX8SRY0dw6XYT7J5MtLV24uWdz2PjmmdFz+HenD87B8vzSjB96Rwa799XQQjMgbNaEMjyo7+3T2qqud1O2VdpvH0bB\/d\/iEsXLogL505HN1Zu346vP78NFka0WTXkzZ8rFsTO178LIrhTaDAVhIIjOz8bNrcNzpSGHVtfEvfLrcbraOu6j7v3urBi1UrRMp1J4FbdTXy4\/yC+qGuUMkSdfV144ZWd+NrX1kiFe8mx9NKtY0dfVy8+PnAAcxcsQHGoSIikrKwEl1n3LzoNR4ZL9ts6errx9jvv4tr1enGhdrZ3YcvWbdj1\/POSMkJ3sEyVECEH2tTEqPWSsdHlzX0Y7rOG8fEH+3H+\/Hk0Nd5F3\/AUnn52Jb6zbwdCubnCrFxuG7L8Bdj+0ut46Ru74bY7YE3NYGSwHVa3DcHCoOyTzltUg6IFK9HZP4LaqSE0Nt+XKFlJU7BZMDUyjl+89feor7+D63Uz+Lu\/3Y9Fq\/Px+vdegiuTsZvcT0wiGU9g5YoVWL1lMd7825+g8eZNrF2\/ATk+twRJtPUMoKq0CEmrHQ6PG9t2bEYiwehCosDYMR23gqmoTLZhxGZS15FfVIL8UCluX23DMFMpknHEJ7rR2T+MZd4CLFnsw9Wzp+HI8WPXSy+AcAd04XX3DSHptMPL\/DenFRmOIKaRxOe1F3G3sR2b9mxEZVkx9nzrRRSEgrAlHNizd68obIwF4jxwj0rZGyajUkoQ95YrKsuRl7Kg\/vpxaFI9VLEaT6a6Z0tLG+bPr0YkGUN+cT42Ll8FV7YLBcVliGopfH3lSjy\/bS3e+\/QtXL1zG163B6cOn8KKr21Fjt+G46drcfzURSwt1eHMcGL9tudRqA3gv\/3DB7jb2Y\/y4iK4rCqicu68GsyrXoOB\/l4g0YAjF3oRntSBgApiI7DEZDSK8VgCt+u\/wNRYO1bv2gibYz2yi\/IFeJzpIvr0JOq\/uIiR3j6s3rQRwxPjOHT0CHw5QRBrturphdj98qs4vP8TnDx4FPHpCOJTEUTjKbGOLTPjGJuxwJEZwPbN26EnPei8eRW3G5pQ3zGINVkBOOlCtbD8LgO\/bCivqsGGtWuwc\/tm9HS2YXBwGH\/6438Fq9OPv\/uH93Hh80uoqiymM1dgIyV+QPbJDF4se+gqTSSd7RtH\/3BvJgkY4oX0ke7TSTv8iAD6fbqg1vrvOjP9rIfvl3YlD0iwCHvI11eeaRxPe6DZX\/6\/+mSj7sVhkKEwxoUBb9wDkITQRBwOp0VypphqSpBW2O3o7YvB7vLCH3AICHNMqrpbMDFtRb6F2URAfGwCF0\/WoqGnB3GHG+OJmCxwpTdTAGuSxFxTXYO3P\/oE3kA2Xtm1E9kEBxcliBv\/Kk0ChHWim9NBdq+sU+77+Xx+9PUNCNKACENNw8JFzyAUKoXT+SYyMtzY+c09IlB9KaZrUDABjd2tQJYPxTkBwdTk\/kcyRdQcImt4Ze8jqo+h9uznuNPUAZt3DOMTUZVDxqwyppmkrFiyZBUKS2pg\/+lbyMwK4NU9ryI72y+gt4yC01MEmY2hvb0Hf\/+P7yGQk4PXvr1XlZ9iVQa\/H9HJCKZiUWRxD0fTEaoox4\/+9M9w8OAhDA0N4bXXXhPLkNs0DHfmi\/PD4BpOnAgYcV\/xi5G3qc6C15eFV\/fsQVl5BQ4dPIhX934HpdU1yMn2qAxh5ipqUTQ2dSM7fw5sDr8EJSExCVtsDFavA1Hm6gC43XYfF2vvIRzX0BMfg8NaJq7Dae7dIAV\/tg97v\/sdPHWzGdHIMfzJv9yD4qogGHhDK0miABMpFOTnorKyVBBxcpwWkHZ0PYVAhlVqSQ6HCazOQBBiuoZx7sh+3LzbhZTdg5lYDHOqq7F1yxbk+f3iwVBBRUS4URwv5fEgbtHhsoVRWbkQGzZtxcIMK3JtYRy50YD1W7fAzyTPJFMYnIIdyc2suMbCvjM4d+48Pnj3I7z44kvYsHi5jPXceSGpBmD3+KXYqexP04KeiQrqCvFo\/X4\/du7cgVCoWBSShEZXnwOOZFIUHKmJAAASCElEQVSqEKQsTglKIjyg3Z6CL+DFcO+wUmwkRy8CT0KDU7cgabUhq7AMpUWFcBE1hZU+3Cn0Do1jsLUfXfe7MOKJICcvgMoF85ChNaOgpEiSn92YhMOfiQiTrpm+QAVEj2OgZwi1B7lHncRwVAfLttiZ2yqhMERFSiFKZB67E89vX49TkSa887O\/htU3H5teeBXPBvxw2YiuNIm2pptSWeNuYxMiehzLVq6AvzAXzX1dWFBRCpvLgfmLF6GtsQn2RAJOSR2yw2JjdO04dHtQ9gTrTn2Olub7KLMBU5MxTLgyoHONp5gLqSLR6ZGS0KT4NJzJGAYHh1BUUoFAoIALAXNLCnG5pVtolG5S7kUr1k6GNuvXM9m+sTTk7Q\/65wEjnW01XTDN\/mp+Ur00v6W\/P37k8V\/M8x898uh387wH73KCaSL\/zrMfXCYffsvpv+XQw238E\/0maVcPNBdSi0RAqSg1lUypI6GrvDAyX3Ny77W0IhjMRqaUdjHcRBaidDDaVHnJPz9\/AXfuNOJb3\/8hkl4vfvJf\/kZFQZFESaMWokJkwZuZKWgExO8sKw0hFVPuEYb8Mk6XATG8s1hEcqGxCa9pGBsbheZg9WlGp3Hhp+B0u1Ho9wpuHkuSVFRVy\/ATdkkWvkXDvfY2+LODAnXEZ2IOEIMKXE63uJUY6lx\/o17QTXa\/9m0EizT89V\/90rC8GNWowp5tPi\/KfFlSLsXj86KqUqFCMOSfwp7j2dvTK1Wc586dixdeeQVBb4Y4pilgIgbKAkvdcOOfU0BoqJISHxYuXIi+vj6Ul6s6cXx+hh9TEPIzo0MpHPndwQAijquRsmKewwCVnLw8aWPx4sWoKC9DXkG21OcTs9CiITw1pcDD84sksEgsS6sFLKtCQAGGvA8PjeLo0WNYMu85fP3lPXj70Pu4fH1A6EHC1CU6FCgKlSEcSWHFqlGUV4SQV+BBknUChbao5fO\/2q\/kT7oeR8quokYjDHiKKwgqHlOh\/JrUG4QjC3BkIhKPIi8\/HxkCkWVEETKsn1YA4ehYamlmQsY9NGc+HNcGoMcZ\/ONHODyDgN8NB0vCK4pgNSKJuGWiNP9duXIVly9exL7XvyvIF9Q3hCnzg7Gvbs6DRLBqGgKBgMwVq2xnZnplTjiGTKInDah7MJWC1izdqNynjUl5mZyCDLEciNRps2sSPUkLmIExvJ8oP0RRMZKriSQSChVh9+6XUFGRi5bObkTsGRi6cw+pGAHMGeZpBXF1uXdGi5XrYnJoBEcOHUSxvwov79uHz85eQvOvaqEnoryzJIqnCKRBCk8Sps2Lvftel3X6\/oE6HDlci6cXErzcipQ9Dl+WF1k5lfjn\/+JHmEnG0dzRBo\/fi5v1N3D7ZgO2rFqL0bEx+U8+wpUnlW5SrAoyBC07G9euXJHthb3f3Ityvxu3\/+u7sCapEApWAFzM9ySNSMQx85bVOOTm5ONW\/XVEpqbhycxAZ3cXsoO5iqfwWvIWcmZOmTjSTTZtvhvT\/+TtyQikjQALc5iB0MbPjB6zwUosShMJgRH0dOGTYWgWzIQjaGtrRWVVlSACMCmX\/1xOp9Qx7O3rFSJk0AXz+E6ePoVh1rXq6cH4yKjcRzwYlJkUYFYrNm\/eLIyMFoIwGVKyQdBiVUjOFvMXFTIBI8pi09MYm5hAcXm5gE+zH1wETBXQZ2LYtouVlc2EVApfI9lU19HW1gYCxBJaidF9KpfFKuWrmptaRSDmBPORiMdw6sRRJF2T6OnuRkXFEGKpuOQhslSMIHVoCbzw4nYRRMIz6WpmBB\/ztWI6Dh34DU6dPI1VG+148803kZeXK9WmQ\/n5aG5uFlikzEyipxih2DR8UzqWLFnyQNiRKdJtxP\/8TOQG7jWWlJQgVFyMq9fr4LDZsGjRInR0dAoo7fz58+F0sMRQUp61sLAQzoxMSWyUumK08gG0t3bA7rKjooIFP42QVc2K7IJSeOwNiE5OoDA7E7nBXNy924zBn\/0M1ztuIjwRQGI6Bbuboe66RASyb6UlZfj+96uQ4fcgxpI+YrVSCNCFa4HN5UQ8pctzuDxeRKTUSxxDg0PiriYYtQh7iwaXy41lK1djmZbBsp7SXwmtEIg04XYm1xOLn4qRixGrSQvKypfiqUV9+MXP30JWOIHR1jvY\/vpr8Lus0CPMuUuhOJQHl9WG6akp9EUTePvnP5eI22AgR4JnFixcgNXr1ou7nfuC7Be5LN\/5ifRDOhKwYSFn1SfmZemCjALE9BgcFg9scD7AqA2PTWO4bwTPbapR+54UmjYrcotz8dnFM3BcK1R1NsnZk\/TOOJAYncC8+TXoXLQAP\/0fP0Vejgfj0Wms3LwDXlsmPM4M2Bk0NUMkIArhuFjkHBhPpg\/B3Hy0d3bhnfd+jtut3YimphGeZkAQac8OS8IFjp5dT+HGjSuoP\/spysoWYmzIiZXLVyPT45TkeLs7B+s2bcM7736Mv\/xP\/wEWpx2ZXq+48f9o9TqpXfiXf\/EXGOzqQWRkAr7CXBRVV+BX77yLlrpcdHe2w+OvRkleAZrsDpw5cwZX9Qi6u7sQ7B9DKpAnQU5CUyDcHJBiZKum4dNPD+Bbr+0WvNSf\/OefIMPlxsB4GHt++IooZqIrG3ves4kNSgg+EYWyfJ78+YoRsL7xxr99g8dms4NS4r4qLi5FUXkIPm8WyisqUFCUD9aBYtg0c\/kyvF5U19TAz6AOsawUmGtcT+DmjZuorqxAVTWPB6TsS83Chdi0ZSuqyitQmB2UPCUG40geIa0Zm00J1rguglhQDCSwhbJa4rnhychAKBRCqLBIIt4am5rQfP8+NmzYiEAO97VEr1VRjRYLnE4HbE66P6kpGvk0FNPJpOB90lKjEKKAodVLGDOC\/zY2tojVO29eJXJzQ7DYXKiaW4otm3agsqISeXkBCJpNksKZT68JDh6x8MgoaRUqzEpdUhqovZZXViI7Jx+B7GxBky8qLJS6h+fOncPSZctkXGhHCOQdhTZTsezEOXWL0JAcQWHEaibJjCORCAJZATlnJhqFw+GUwraxWEyYNQNueB1f1M5pMTMMX5iCTvgwtSHPR8jJK0JJeam4zSRXTNPh8mSgs38M4YkonppfibKyXNi0DPgCQax7bg2WLVmNUEEOnA5dMEEtTIaWpG8nMpgvyHqSotQkBdmHY+N0OFBUWILCshIwIjM3Owul1dXw+QK4fvEcJpM2rF23Gj4HYfEUvJtUOCBcmCRdM1DFBGRQn6kB8b5UrJhfWF5ThixWz7a6UFyaJ4nemXYfNmxcjxWrF8vzMwKVbltPpg2t91tFaampqIIv0wfiQBIL0ev1S\/VsVoQX+hH4M5XLSprhi\/OgwABMwcwymybcF70ZuihGOYFczAmVIuj3Cc3fuHoT42MRbNm2GRpre7JKlEVDXnYefAEfCipKpZpBdVEIGR4HMrO8KJ5ThTmhEiyoqkaG1yeu9qXLV2DRM08hz+tDcVk5AvkFyHK6kJdfhPI55fC5CUoNOB1WMPKU1qsrw4mN2zbj2XXrkF+SD4eTcHEWSS0KlcxHYWkV5pZng9u8TiuL5K7GyrWL4XKyjA8T9W3IySnEnKoKSYXKzs3F6lWrUF5SgkJWfCgKIdPlRkZGpgShrXpuA+Y98zQyvH7k5Xux7o\/WYOHidaiurkJxYZ5A21XOq8KmLTtRUzkP5cU5qF5QhbzCQslRZCAa00VChYXiRZq3YAEWL14CglJ7vD5s27ULcyrLBaWFwV\/CU4wcX5kkMRPVOuWsCf3LgSd\/nozA7AhoyRRTXwX0SKoKiG+B61rgMgx\/g8J8VVYcQ\/\/JCIiaIUmzSsgwlYCMl9URfvXB+\/C73Xjl+Z0CoM2Ed1b91imgjJhVyYsV3VpZJwmCTZNMieomAoacRrlbGRLNgAi6Ltlbwp1NTU5h\/0cfy57Y9ud3CV6fWIZsn9oxryX0F7V55jcZwtB0M\/I7GRkFB4WO+s7r4ti\/\/xPMzCSwe89OuBx+6ZeOCFIpl7jjEgQThp3ZCQJNxfBWQZPgsAmuqEomJnA2UVJESFgdEgFJrifCV9dx5OhRKTa7d+9eZHoyVBIyx4DuLUbzpiEysK9mn83p43fzHH7mi+fxvykEaVXznuJuo14hiO3ckyP2qmBbidmfTBGl1YI4pzbJ6EPlfr1+pwXHj53Bvt3Po6DIDS3plSCllJXuNVWx3pokQv4sE4LFBY17T0kNSQaXSHKZyv2ktq4laeGpnDjZuLI4cL+lFWcOfYxFG7ZiwTOLBdg6RmWDIpFV4TWVxM\/HFCe6gbfKZ6biQEHIPVqZC2tS9nQtSUEphWYhaLxbmGAyNSUeCGvKJ1BqLAd15WodLly4gFde+QaoBJIOOV7M0bPalTLFeRWlh14Sg51ynNNfJm09mCuBQYtB16KwWr1SMyXF6icj4\/jgnYNYtXYNFixfIBCDfCaHVYc9wRIoGqaY4kSlU08IlFvCoiMGN+wJ5hxKJ2SpcuCZGegmeiKjLq0peJMEfWc9SgVvxEA1h40ADAwGIOhnAiy1QnxPrj72103hoTP1w4EZix02ROCysoA358qHaVWrFRYtDos2A0eKWKm8j9rHZqFXwRg0h8Riwc3r1\/Huu+\/ie3\/yfVRW16h5YnhSagqaliP78sR8FRc3ogLoriVZ55FBeioMjC5efiUdE4WJ80JaV6JNJJ\/Q9zTzXQ29mTuMgqhEp6+sC0WdKjriiTBMp9knn2dHQEsKNAQJhJo1V4Zx0FzohmCiQDKZDk8hkSlHkfqsXJTqN9aL6u\/txYKqGmhEmiAmJptlCLwhDCVhnQ3KB95WJc2zH0K\/0hdDGMud1F4Lu8UuhcNTaG1tR25hSNyMbN7sMq8n7JpC6+DvSouXPhtCZXYIFDNQxyjEUhgfn0JPTw\/mVBTC5fCpYSEjSRI0gBUoVLSmlfBjaQ3J0EkMi8JmVH0y0HDYCuvdqBR4sR46OzvhzfQiN5f7HebAyynCcE3mqhb07I0eOteciy95LnX\/tHaNc2XzivcTBk8mz8oADJKh8FIDaadWoqUQTQCt99pRmO1DINetSjERXIeagEbVhiOgAJTVvPF+ZKBUBIzDYrQZGKPEN5VxMxgZ9xOTKYyNTWB6YhD+4nJYHW7pkQIYZxCVUbKJiecyjobgN4ZEvpmPSUXIQnxQhllRZZmWHEeNuKGkHbpQBS5NwsHEOoxPz0i+mz8YRG5uvrgtRaDRY2DQFZ+NtyD9Kmp6eD7S50jmh9PNsbEkkGChaGQaLvVpRMYmMNoXFavT6iW4NwUA\/QJxWHUqVgSiVjdi6SKWVWalFTrn7SlimxpjR2FL+EMCcOvilxesWTv3ZakAEXPW6KY8D\/NAmfgq+3A2JGSvQu3FM+SE6ih7TQHHnNGURuB9HufesVXyfwWTF6z8zvJFVtbNVoKKAoqXc8D436ZhbGgIbT1d4hWhJ4llBy2WOHRtBtakRx4wpSkrmjU1ZH0lbCIImfbC8ZNplQRBU7DNrlc+h4lsY2QlKgVH5on0zcfhwyhhKDRpkKQxLE\/enozAgxHQkilivZgvEpDxjULKIMKHOD5PFQo1rhFGp6wRcVUpFiCMRxYHhQPBe43TuThNtCSVk2WKVDrnHnmZ95GG1DH1E7EvCZNGbVcJmEeuNNriguLrQYjQo6d9yXc+C38mN6P1RKBuuuH4BGyHLfIEY\/GbLTzWefOAsSip6bNJw71mHlXtzX4zP31lc+YJ\/9vvBrcSBUFZ5awoL48l2KNKACiORgapnlNjiDExuAysR+Fs5mel2ahxkbFTjFm6yL09eRilFIhFKGeaY0jJqqxXvsfF2qA7Tr0Y68gAHnWdIYbSBke1YpwsX5SQJxIJ7XfCYAucl9RDYOA9hSvvZzBI6S+litQDEuYpwVoGT39U8PHWabc3bvwVbxxqscZmaLsJS7ZQzJEQdI\/S3hwRJOFSLmFiv4iSohRIne5BwYNhQxSJtJIZSMLxNciQiiIB7UUAcq3poAtYakFK8rkScaqHXDGsOEMhQwxZzr8S77KKOBbGGOqSK8nEBlanUUoISUbFdLMiB3uUEsQXti3jZF4vbag70lrlXFAoMbCVilhCS8BOC5APYVxI75RUiSGwOk8UhVMuMEbcmC\/VrPqbxq4UF5lF0Xp4jmavTetaektPPj8ZAfxPqxPohAwyongAAAAASUVORK5CYII=\" \/><\/strong><\/p>\n<p>a)3<\/p>\n<p>b)6<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)3[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p>Solution:<\/p>\n<p>f(2)=f(1)*f(1)<\/p>\n<p>given f(1)=2<\/p>\n<p>so f(2)=4<\/p>\n<p>similarly f(4)=f(2)*f(2)=16\u2026eqn 1<\/p>\n<p>putting n=1 in given equation<\/p>\n<p>f(a+1)=16<\/p>\n<p>so we can say that a+1=4\u00a0 \u2026. from eq1<\/p>\n<p>so a=3<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.17)\u00a0<\/strong><img decoding=\"async\" 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\" \/><\/p>\n<p>a)6144<\/p>\n<p>b)6500<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)6144[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>a1=6<\/p>\n<p>a1+a2=18<\/p>\n<p>a2=12<\/p>\n<p>a1+a2+a3=42<\/p>\n<p>a3=24<\/p>\n<p>a1+a2+a3+a4=90<\/p>\n<p>a4=48<\/p>\n<p>so a1, a2, a3, a4\u2026an are in GP with ratio 2<\/p>\n<p>so a11=a(2^10)=6(1024)=6144<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.18) Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4. What is their total interest income (in Rs) after a year, if Bina&#8217;s interest income exceeds Amala&#8217;s by Rs 250?<\/strong><\/p>\n<p>*a)7250<\/p>\n<p>b)6000<\/p>\n<p>c)6350<\/p>\n<p>d)7000<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)7250[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>Let money invested be in ratio 300x:400x:500x<\/p>\n<p>Bina\u2019s interest income=400x*5*1\/100<\/p>\n<p>Amala\u2019s interest income=300x*6*1\/100<\/p>\n<p>Difference=2x=250<\/p>\n<p>X=125<\/p>\n<p>Total interest income=20x+18x+20x=58x=58*125=7250<\/p>\n<p>[\/bg_collapse]<a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>Q.19) AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length, in cm, of QB is nearest to<\/strong><\/p>\n<p>a)9.1<\/p>\n<p>b)9.3<\/p>\n<p>c)7.8<\/p>\n<p>d)8.5<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)9.1[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4281\" src=\"https:\/\/iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.13.45-PM.png\" alt=\"\" width=\"278\" height=\"245\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.13.45-PM.png 433w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.13.45-PM-300x264.png 300w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><\/p>\n<p>Angle AQB=90<\/p>\n<p>Since angle in a semicircle is 90<\/p>\n<p>So AQ^2+QB^2=AB^2<\/p>\n<p>100=16+QB^2<\/p>\n<p>QB=(84)^1\/2=9.1 approx<\/p>\n<p>[\/bg_collapse]<strong>\u00a0<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Q.20) Let S be the set of all points (x, y) in the x-y plane such that | x | + | y | \u2264 2 and | x | \u2265 1. Then, the area, in square units, of the region represented by S equals<\/strong><\/p>\n<p>a)2<\/p>\n<p>b)8<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)2[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4283\" src=\"https:\/\/iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.18.36-PM.png\" alt=\"\" width=\"417\" height=\"381\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.18.36-PM.png 417w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.18.36-PM-300x274.png 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Here we have required area shaded in blue where we have 4 triangle having height=1 and base=1<\/p>\n<p>So total area=4*(1\/2 *1*1)=2 units<strong>\u00a0<\/strong><\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.21) The product of the distinct roots of <\/strong><strong>\u2223<\/strong><em><strong>x<sup>2<\/sup>\u2212 x \u2212 6<\/strong><\/em><strong>\u2223<\/strong><strong> =\u00a0<em>x + 2<\/em>is<\/strong><\/p>\n<p>a)-8<\/p>\n<p>b)-4<\/p>\n<p>c)-16<\/p>\n<p>d)-24<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]c)-16[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>|(x-3)(x+2)|=x+2<\/p>\n<p>So x-3=1\u00a0\u00a0 or\u00a0\u00a0 x-3=-1<\/p>\n<p>So x=4 or x=2<\/p>\n<p>Also at x=-2 we have a solution so x=-2 is also a root<\/p>\n<p>So product=2*4*-2=-16<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.22)<img decoding=\"async\" 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\" \/><\/strong><\/p>\n<p>a)5<\/p>\n<p>b)10<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)5[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>|x| will be opened with +x or -x<\/p>\n<p>\u2018so we get(-x)(6x^2+1)=5x^2<\/p>\n<p>And x(6x^2+1)=5x^2<\/p>\n<p>So for eq 1 we will have 3 solutions since it is cubic<\/p>\n<p>For eq 2 we will have 3 solutions\u00a0 since it is cubic<\/p>\n<p>So 6 solutions<\/p>\n<p>But x=0 will be a common solution so<\/p>\n<p>Total=3+3-1=5 solutions<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.23) For any positive integer n, let f(n) = n(n + 1) if n is even, and f(n) = n + 3 if n is odd.<br \/>\nIf m is a positive integer such that 8f(m + 1) &#8211; f(m) = 2, then m equals<\/strong><\/p>\n<p>a)10<\/p>\n<p>b)8<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)10[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>f(n) = n(n + 1) if n is even<\/p>\n<p>f(n) = n + 3<\/p>\n<p>Now, we don\u2019t know that\u00a0 if m is odd or even,<\/p>\n<p>So lets take m is even, so value of (m+1) will be odd<\/p>\n<p>Given 8f(m+1)-f(m)=2<\/p>\n<p>So 8(m+1+3)-m(m+1)=2<\/p>\n<p>m^2-7m-30=0<\/p>\n<p>m=10, -3<\/p>\n<p>but m must be positive as given in the question so m=-3 is not possible<\/p>\n<p>so m=10<\/p>\n<p>putting m=10 satisfies if you put it in the given function.<\/p>\n<p>If m is odd, (m+1) will be even<\/p>\n<p>So 8m(m+1)-(m+3)=2<\/p>\n<p>8m^2+7m-5=0<\/p>\n<p>m will come out as non integer.<\/p>\n<p>[\/bg_collapse]<a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>Q.24) Two cars travel the same distance starting at 10:00 am and 11:00 am, respectively, on the same day. They reach their common destination at the same point of time. If the first car travelled for at least 6 hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is<\/strong><\/p>\n<p>a)30<\/p>\n<p>b)20<\/p>\n<p>c)10<\/p>\n<p>d)25<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)20[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>Suppose first car starts 10:00 and it\u00a0 travelled for 6 hour. Assume speed of car 1 is 10km\/h. So in 6 hour it travelled 60km. Now car B will travel same distance in 5 hour so 60\/5 =12km\/h.<\/p>\n<p>So, percentage change = 2\/10*100 = 20%<\/p>\n<p>Now If we take 7 hours instead of 6 hours\u00a0 we get 60 \/7 = 8.57<\/p>\n<p>And for car 2 it will be 60\/6 = 10km\/h<\/p>\n<p>So percentage change is less than 20%.<\/p>\n<p>So at max it can be 20%<\/p>\n<p>[\/bg_collapse]<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Q.25) A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is<\/strong><\/p>\n<p>a)45<\/p>\n<p>b)43<\/p>\n<p>c)38<\/p>\n<p>d)32<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)43[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4284\" src=\"https:\/\/iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.27.11-PM.png\" alt=\"\" width=\"461\" height=\"430\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.27.11-PM.png 461w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.27.11-PM-300x280.png 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2019\/11\/Screen-Shot-2019-11-30-at-12.27.11-PM-450x420.png 450w\" sizes=\"(max-width: 461px) 100vw, 461px\" \/><\/p>\n<p>So, only football\u00a0 144+109+x = 256<\/p>\n<p>X=3<\/p>\n<p>So. Only tennis = 40+x = 43<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.26) In a race of three horses, the first beat the second by 11 metres and the third by 90 metres. If the second beat the third by 80 metres, what was the length, in metres, of the racecourse?<\/strong><\/p>\n<p>a)400<\/p>\n<p>b)880<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)880[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>A beat B by 11 and A beat C by 90m. That means B is already 79m ahead of C. Now B will beat C by 80m and B is already 79m ahead so B will gain 1m lead in next 11m.\u00a0So lead of 80 m will be in the span of 80*11= 880m<strong>\u00a0<\/strong><\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.27) One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B, Amal took each mode of transport 1\/3 of his total journey time, while Bimal took each mode of transport 1\/3 of the total distance. The percentage by which Bimal\u2019s travel time exceeds Amal\u2019s travel time is nearest to<\/strong><\/p>\n<p>a)22<\/p>\n<p>b)20<\/p>\n<p>c)19<\/p>\n<p>d)21<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)22[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>Let total distance = 60 km<\/p>\n<p>So, Bimal will travel\u00a0 1\/3<sup>rd<\/sup>\u00a0 of total distance for each given speed<\/p>\n<p>That means with the speed of 10 he will travel for 20 km = 2 hour<\/p>\n<p>And with the speed of 20 km\/h he will travel for 20 km = 1 hour<\/p>\n<p>And with the speed of 30 km he will travel for 20 km =2\/3 hour<\/p>\n<p>So, total time = 3 hour 40 min = 220 min<strong>\u00a0<\/strong><\/p>\n<p>Now, for amal 1\/3<sup>rd<\/sup> of total travel time that means with the speed 20 it will travel for 1 hour, with the speed of 10 he will travel for 1 hour and with the speed of 30 it will travel of 1 hour.<\/p>\n<p>So, total 3 hour=180 min<\/p>\n<p>So, 40\/180*100 =\u00a0 22.22% = 22%<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>Q.28) A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weighs 800 gm. If half litre of the mixture weighs 480 gm, then the percentage of liquid 1 in the mixture, in terms of volume, is<\/strong><\/p>\n<p>a)80<\/p>\n<p>b)85<\/p>\n<p>c)75<\/p>\n<p>d)70<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)80[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution: Liquid 1&#8211;1 lit = 1kg<\/p>\n<p>Liquid 2\u20141 lit = 800 kg\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5<\/p>\n<p>Now 500 ml = 480 ml. so we need gap of 20ml,<\/p>\n<p>And that gap will be made from liquid 2, if 1000ml = 800ml, so gap of 200 ml we need 1000ml,<\/p>\n<p>20 ml gap can be achieved by 100 ml of liquid B<\/p>\n<p>So, 400ml of liquid 1 is required.<\/p>\n<p>400\/500*100 = 80%<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.29) The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B travelled this distance in 45 minutes, then its speed, in km per hour, was<\/strong><\/p>\n<p>a)16*pie<\/p>\n<p>b)14*pie<\/p>\n<p>c)18*pie<\/p>\n<p>d)12*pie<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)16*pie[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>A travel 2*pie*r= 60*pie<\/p>\n<p>B travel 2*pie*r = 80*pie<\/p>\n<p>So lcm = 240*pie<\/p>\n<p>That means A travel for 4 revolution and B travel for 3 revolution.<\/p>\n<p>We need gap of 5000 revolution<\/p>\n<p>So B will travel 5000*240*pie cm distance in 45 min<\/p>\n<p>So speed\u00a0 = 5000*240*pie\/45 cm\/min<\/p>\n<p>To convert Cm into Km<\/p>\n<p>1km =1000m and 1 m = 100 cm<\/p>\n<p>So, 1km = 100000cm,<\/p>\n<p>So 1cm = 10^-5 km<\/p>\n<p>And 60 min = 1hour<\/p>\n<p>So, speed = 5000*240*pie*60\/45*100000 = 16*pie<\/p>\n<p>[\/bg_collapse]<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Q.30) If the population of a town is p in the beginning of any year then it becomes 3+2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will be<\/strong><\/p>\n<p>a) (1003)<sup>15<\/sup>\u00a0+ 6<\/p>\n<p>b) (997)2<sup>14<\/sup>\u00a0+ 3<\/p>\n<p>c) (1003)2<sup>15<\/sup>\u00a0\u2013 3<\/p>\n<p>d) (997)<sup>15<\/sup>\u00a0\u2013 3<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]c) (1003)2<sup>15<\/sup>\u00a0\u2013 3[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution: This is something we can do through options, as we know that from 2019 to 2034 there are 16 years including 2019 and 2034.<\/p>\n<p>If we just make an equation and see how population in growing, we see it will be 1000,2003,4009,8021 and so on\u2026<\/p>\n<p>So, if we check option one by one 1003(2^0)-3 = 1000 for first year= 2019<\/p>\n<p>For second year it will be 1003(2^1)-3 = 2003<\/p>\n<p>For third year it will be 1003(2^2)-3 = 4009<\/p>\n<p>So, option C will be the answer<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.31) On selling a pen at 5% loss and a book at 15% gain, Karim gains Rs. 7. If he sells the pen at 5% gain and the book at 10% gain, he gains Rs. 13. What is the cost price of the book in Rupees?<\/strong><\/p>\n<p>a)40<\/p>\n<p>b)80<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)80[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>X= price of pen<\/p>\n<p>Y= price of book<\/p>\n<p>So, 0.95x+1.15Y = x+y+7<\/p>\n<p>-0.05x+0.15y = 7&#8212;&#8212;&#8212;&#8212;(1)<\/p>\n<p>&nbsp;<\/p>\n<p>1.05x+1.10y = x+y+13<\/p>\n<p>0.05x+0.1y = 13&#8212;&#8212;&#8212;&#8212;-(2)<\/p>\n<p>&nbsp;<\/p>\n<p>Adding (1) and (2)<\/p>\n<p>We get 0.25y =20<\/p>\n<p>So, y=80<\/p>\n<p>[\/bg_collapse]<a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n<p><strong>Q.32) If the rectangular faces of a brick have their diagonals in the ratio 3 : 2\u221a3 : \u221a15, then the ratio of the length of the shortest edge of the brick to that of its longest edge is<\/strong><\/p>\n<p>a)1: root3<\/p>\n<p>b)2:root3<\/p>\n<p>c)3:root3<\/p>\n<p>d)none<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)1: root3[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution: Let A, B and C be the three diagonals.<\/p>\n<p>So, a^2+b^2= 9<\/p>\n<p>b^2+c^2=12<\/p>\n<p>c^2+a^2=15<\/p>\n<p>So, 2a^2+2b^2+2c^2=36<\/p>\n<p>a^2+b^2+c^2 = 18<\/p>\n<p>So, c^2=9, c=3<\/p>\n<p>A=root6<\/p>\n<p>B=root3<\/p>\n<p>So, ratio of shortest to longest = 1: root3<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.33) Let T be the triangle formed by the straight line 3x + 5y &#8211; 45 = 0 and the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is<\/strong><\/p>\n<p>a)9<\/p>\n<p>b)15<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]a)9[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution: If we put x=0 we get Y=9<\/p>\n<p>If we put Y=0\u00a0 we get x=15<\/p>\n<p>So points are (15,0), (0,9), (0,0)<\/p>\n<p>And for right angle triangle circumradius is half of diameter<\/p>\n<p>Here, diameter = 225+81= 306 = 17.49<\/p>\n<p>So, radius = 17.49\/2=8.74<\/p>\n<p>So nearest integer will be 9<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><strong>Q.34) With rectangular axes of coordinates, the number of paths from (1,1) to (8,10) via (4,6), where each step from any point (x, y) is either to (x, y+1) or to (x+1, y), is<\/strong><\/p>\n<p>a)3000<\/p>\n<p>b)3920<\/p>\n<p>[bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]b)3920[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ]<\/p>\n<p>Solution:<\/p>\n<p>We want to go to (1,1) to (8,10) through (4,6)<\/p>\n<p>So, first we will go to (1,1) to (4,6) and then (4,6) to (8,10)<\/p>\n<p>So from (1,1) to (4,6) we have 5+3 8 ways = 8!\/5!3! =56<br \/>\nAnd from (4,6) to (8,10) we have 4 and 4 = 8 ways<br \/>\nSo, 8!\/4!4! = 70<\/p>\n<p>So, total 56*70 = 3920 ways<\/p>\n<p>[\/bg_collapse]<\/p>\n<p><a href=\"https:\/\/www.iquanta.in\/\"><img decoding=\"async\" class=\"alignnone wp-image-7740 size-full\" src=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg\" alt=\"CAT exam\" width=\"1280\" height=\"242\" srcset=\"https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1.jpeg 1280w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-300x57.jpeg 300w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-1024x194.jpeg 1024w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-768x145.jpeg 768w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-640x121.jpeg 640w, https:\/\/www.iquanta.in\/blog\/wp-content\/uploads\/2021\/12\/WhatsApp-Image-2021-12-16-at-4.09.20-PM-1-681x129.jpeg 681w\" sizes=\"(max-width: 1280px) 100vw, 1280px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>CAT 2019 Quant Solution Q.1) Let x and y be positive real numbers such that log5\u00a0(x + y)\u00a0+ log5\u00a0(x\u00a0\u2212\u00a0y) =\u00a03, and log2\u00a0y\u00a0\u2212 log2\u00a0x =\u00a01 \u2212 log2\u00a03. Then xy equals a)250 b)100 c)150 d)25 [bg_collapse view=&#8221;button-blue&#8221; color=&#8221;#ffffff&#8221; expand_text=&#8221;Correct Answer&#8221; collapse_text=&#8221;Show Less&#8221; ]c)150[\/bg_collapse] [bg_collapse view=&#8221;button-orange&#8221; color=&#8221;#4a4949&#8243; expand_text=&#8221;View Solution&#8221; collapse_text=&#8221;Show Less&#8221; ] Solution: Given log5\u00a0(x + y)\u00a0+ log5\u00a0(x\u00a0\u2212\u00a0y) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4329,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[341,340],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.4 (Yoast SEO v21.9.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>CAT 2019 Quant Question Paper with Solution (Slot 1)<\/title>\n<meta name=\"description\" content=\"CAT 2019 Quant Question paper with solution,We prepared CAT 2019 Quant 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