Maths-
General
Easy
Question
The area of the region (in sq. units), in the first quadrant, bounded by the parabola y=
and the lines x=0,y=1 and y=4 is:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXwAAAEJCAYAAACXCJy4AAAgAElEQVR4nOydV3MbWZatF7z33nsCECkzVd3TPRHz6/ul+3aXkUQHbwnvvUkk8j5ozi5QpqyqSiTPF6EoI4BMgsDKfbZZWyZJkgQOh8PhPHrkf/YFcDgcDuePgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBG44HM4HM4TgQs+h8PhPBGUf/YFcDh/NJIk4Xg84ng84nA4QBRFAIBCoYBMJoMkSR88Ry7/ITY6Ho+QJAkymQxyuRwKhYKey+F8yXDB5zxJRFHEer3GeDzGcrmEXC6HXq+HUqnE8XiEKIok6gqFAlqtFkqlEvv9Huv1GsfjEWq1GgaDAQaDAVqtlgs+54uHCz7nSSFJEjabDebzOYbDIVqtFiaTCZRKJUwmE9RqNSRJoshfLpdDqVRCp9NBpVJht9thsVhAkiSo1WqYzWY4nU44HA4YjUYoFIo/+0fkcD4JF3zOk4CladbrNTqdDhqNBnq9HkajEXa7HWQyGTQaDaVnAFDah6VwANxL3+x2OwCAz+dDMpmEz+eD2WyGRqPh0T7ni4QLPudJwNI0o9EI+Xwer1+/xmAwgFqthsVigSiKGA6HkCQJOp0OWq0WoihitVphuVyi3+9js9nA4/EgHA5DrVaj2Wyi0+nA7XZjvV5DEASEQiE4HA4olfyjxfny4O9KzqOHpWg2mw36/T4KhQJev36NyWSCSCQCh8MBmUyG/X4PURShUqkgSRL2+z2m0ym63S4KhQKm0ymy2SycTidkMhn6/T6urq5gsVhgMpmg1WphMBhgtVq54HO+SPi7kvPoOR6P2G63GAwGqNVqKJfLqNfrOBwOSKVSCAQC0Gq1mM1mAEC5/OFwiNVqBVEUMR6PMRgMEAqFoFKpYDAYoNPpIIoi+v0+isUiDAYD7HY7AoEANBrNn/xTczgfwgWf8+iRJAnr9RrtdhvVahWtVgur1QoGgwFOpxOpVAputxuCIEChUECn02G/36NUKqHf70Or1UKr1cJoNMJqtcLpdMLpdCISieDu7g53d3fodrsol8uIxWKU2+dwvjS44HMeDZIkUXFVJpNR4VSSJGy3W+rKYYVai8UCs9kMj8eDUChEzwOA0WgEQRCwXC7psQ6HA6lUCn6/HzabDcvlEpFIBLPZDMvlEr1eD5PJBIfD4c95ATicn4ALPudRcDwesdvtIAgCAEClUkGn0wF4J/iCIGCxWGA8HmOxWEAQBMhkMqjVami1WigUCroxLJdL1Ot1FItF1Go1TCYTOBwOxGIxvHjxAn6/H1qtFk6nEx6PByaTCZvNBpvNBrvdDsfj8c98KTicT8IFn/NgYYNRrMA6m82wWCwAAGazGUqlEiqVCsAPg1aLxQLr9RqiKEImk33wmMVigbu7O+RyOZRKJQwGA4iiiFAohPPzc5ydnVHR1mKxwGazwWAw0DXs93su+JwvFi74nAcNS+EsFgvUajXUajUAQDweh16vp44bFuXv93sIgoDj8UhTtMw2Ybvdot/v482bN/jmm2/QarVgNBoRCASQyWSQTCbh8XhgMBggCAKdDtRqNYB3Nwwu9pwvGS74nAcN88MZDoe4ubnBN998A+CdeLvdbqhUKvLKYcJ+mt8/zfNPJhM0Gg385z//wb/+9S9otVq8fPkS8Xgc4XAYBoMBx+MRgiBQ+uh0KIvD+dLhgs950Ox2O0ynU9TrdRQKBVxfX0MURej1egSDQchkMhiNRsrXazQaKJXKe4K/3+8xHA6Ry+Xw+vVrvH79GoVCAX6/H7vdDvv9Hp1OB+PxGNPpFH6/HzKZDLPZDPP5HJvNhlJEpyZrHM6XBhd8zoNFFEUsl0s0m02USiXc3d1hPB5jv9+jWCzC7/dDqVQiGo1CJpPBYDDAZDJBp9Nhu91CkiSapp1Op7i6usL19TX6/T6OxyMJvSAIVAxOp9M4HA4wGAwYDAbo9XqYzWaQJAkqlerezYTD+dLggs95kDBBnk6naDQaqFQq6HQ6mM1m2O12qNVqcLvdsNlssFqt0Gg0MJlMcDgcsFgsWK1W1JUzm83Q7/fR7XbJSM3pdMJsNuNwOGAymWA6nUIURRiNRgSDQRwOBwwGA3Q6HczncygUChrG4gZqfw7sBv4xt1N28jq1xpYkieytgR9qMOw57HmP6QbOBZ/zIGFtlr1eD+VyGaVSCe12G8vlEvv9ngahgsEgIpEI3G43XC4XotEo2u02nQQGgwFF9H6/HwqFArFYjNJCrLVzPp/jcDggEonAYrHgcDig2+1S22YgEIDX64XNZqOuH84fjyAI5H+0Xq+hUChgtVphMpkAgCw21us1DocD1Go1/Y7Ze0ej0cBsNsNoNFJB/rHABZ/z4GBpGDZIVa/XyeZ4u93e87rv9/sYDAYwm81wOBw4OztDp9NBu93Ger1Gt9tFp9NBKBTCX/7yF/qAH49HivJYh48oilCr1TgcDqjVahiPx+h0OhBFER6PB7FYDF6v99GJxEOBteYOBgMMh0NMJhOo1WqEw2EA736n6/Uak8kEg8EAgiCQvTXzRprNZjAajfD7/ZAkCWazGSqV6tFE+VzwOQ+O3W6H4XCIWq2GZrOJ9XoNlUpFBVmVSgWr1QqLxYLtdot6vQ6VSoVMJoNgMIhsNovRaIR+v4/D4YBerweXy4VwOAy/3w+DwfDJ7z0ej1Eul6kGYLPZYLFYcH5+jmw2C7/fzwX/D4QZ4wmCgMFggHK5TNYZoijCZDJBo9FgvV5TENDtdtHtdqFQKBAOh6FSqaDX67FardDpdCCXyzEej+HxeBAIBOB2uylV99CL8lzwOQ8OloqpVqsYDAYwmUxIJpNQKBS0tCSVSiEej0OlUuHu7g7H4xEOhwPRaBTpdBr7/R7tdhvz+Rzb7Rbj8Riz2QxmsxlqtfqTaRlmlTyfz+FwOPDf//3f8Pl8ePXqFVKpFJxOJ0/p/IGwwv1kMkE+n8e3336LTqcDk8mEQCAAnU6H1WqFXq+HbreLVquFu7s7DAYDWCwWKBQKJJNJcjltNpuUDjSZTMhms7i4uIDH44Fer4darX7Q0T4XfM6DQxAEOrpvNhu4XC4yP5tOp5DL5UgkEkin0xiNRmg2m9Rnn81mEY1GIZfL4Xa7Ua1WsVqtsN/vsd1usdlssN/vPynam82GCr6BQAAmkwmhUAjxeBxerxcGg+HBR4EPicPhgPl8jlarhZubG3z33XcYjUZIJpOIxWJ0yhuNRqjVaigWixQo+Hw+hEIhiKJIRno6nQ7z+RyFQgHAu/eazWajFZcP/fTGBZ/zIGG2CBaLBdFoFBqNBpPJBLVaDQqFAoFAAMlkEhqNhhabMP8ck8mEcDhMLZrT6RQmk+netirW4XEKW47idruhVquhVqths9ng9XppxSEX+z8Wlt4rFovI5XJ0mlMqlbDb7fD7/dhut1gsFmi325AkidpwdTod1us1JEmCwWCARqOBz+ej3QeTyQQ6nQ6hUAhGoxE6nQ56vf5Bd2Fxwec8OJRKJYxGI9xuN+RyOdLpNBQKBarVKvR6PeRyORwOB8LhMBQKBcbjMRVcmRhYrVYYDAbYbDZsNhsyWzu1SvgYdrsdKpUKgiBAqVRCq9XSUZ+L/R/PbrdDr9cj76Plcgm32w2n0wmfz4dwOIzj8QiVSoXNZoNut4tms4nBYEA3dgDQ6XSQy+WIxWLI5XJQKpWYz+eo1+solUq0t9hut3PB53D+SFQqFZxOJ+LxODQaDSKRCDabDYxGI3VUaDQa2O12KJVKbLdb7Pd7uFwu+rCyIq/RaPzZ35dN7f6S53B+XwRBwHg8RqPRoAjebDbT/IXZbAbw7nTWbrfhcrlgNpspRcNu0kqlEgqFAi6XCy6XC3a7HXd3d5T/Hw6H2Gw2D94riQs+58GhVqtpbyxLq+z3e/p7NlyjVqvhdrshk8lwOBxgsVio2+IhF944PyCKIjabDabTKebzOXQ6HZRK5T0xB0C2F6c+Sh+DDdCxaH6/32O329HO4ofum8QFn/PgYLl7lk89zbsDPywsVyqVMJvN0Ol0kCQJSqWSHssF/3HA9iCsVius12toNBqan3j/cWy69mOifbo4R6vVwmKxwGKxYDqdkrXGQ4/uAS74nAeIXC6HRqO5tzf21PWS/ZMZpj30zgrOp2F9+Mzkjv3e37dEYDf592/2H/t/LN3HFuOcWjU8dHiVicPhPHg+td6S8TFhf//vTv/91GPnU6eChwgXfA6H86CRy+VUdAV+SN8wJEmi+QnmsbPb7bDb7bDZbLBYLLBcLumxgiDQdjRWG3osKUAu+BwO58HC0ntGoxF6vZ4K9Mz7iKVjZrMZLZtne4eZt854PKZZDVYPGI/HGI1G2Gw2kMvlUKlUj6LtlufwORzOg0WpVNKUrN1uhyiK2G631IrLhJ+Z6qlUKphMJrhcLlitVuj1euz3e8znc6zXayyXS0ynU4xGI8xmM2g0Guj1ehgMhkdhosYFn8PhPFjUajXNZAwGA7TbbSwWC0wmE9pGplQqodPpEAgEcHFxAaPRiNlsBoPBgGg0SotyZrMZut0uer0exuMxBEGA0+mE1+uF0+mkob6HDBd8DofzYNFqtfD5fLi4uMB0OsV4PCZb7NFohPV6DavVCpfLBYPBgHA4TL73LNo3mUyQy+WYzWZoNBpoNpuYTqcAALfbjXg8jkAg8CisM7jgczicB4tGo4Hb7aY8fb/fR6vVgiiK6PV6aLfbJOx2ux3BYPCDryGKInnot1otrNdrWCwWOBwOnJ+fI5VKPRpjPC74HA7nwaJQKGA0GuH1epHNZrFarWj/wWKxQK1Wg1qtpqnsjwn2brfDfD7HYDDAarWC1WrFq1evYLPZ8OLFC4RCIVqTyXP4HA6H8ychl8vJLiMej0Mmk8Hr9WIymdyzXGBtmBqN5t5+W2abwIq8Go0GwWAQDocDXq8XkUgEHo8HBoPhQZumMbjgczicBwuzyVYoFHA4HAAAo9GI4XCI6XQKjUYDg8EApVL50WEs1sOv1+vJXE+r1cLlcsHpdMLpdMJoNEKpfBxS+Th+Cg6H86SRyWS0q8BkMsHr9WKz2dD+g0+1VarVaigUChL97XZLKw/1ev29E8Fj4IsU/MPhQBNxMpmMXvyP3aU5HA4HANliazQaWK3WH33s8XjE4XDA4XCAKIoAAKfT+eh9l75IwV8ul7i8vESxWAQAxGIxnJ2dwWq1/ui+UQ6Hw/kpmHXCbDbDYrHAer2GSqWCx+OB1+t91EHlFyn4m80G1WoV//znP3E4HDAajaBUKhEOh2Gz2R7F9ngOh/PHIkkSRFHEarVCt9tFu93GZDLBer2GwWCATCaD2WyGwWD4sy/1d+OLFHxWTAGAxWKBcrkMo9FI6+nYOjIOh8P5uTAb5eFwiEKhgEqlgu12S3n8x+SK+Sm+SMHXaDTwer2IxWIQRRGNRoPy+Q6HAzabjad1OBzOL4Jtx+p2u/juu+9we3sLnU6HWCyGYDD4KPrsf4ovUvB1Oh0ikQh2ux0AoN/vo9FowOPxIBwOw2AwwO/331uAweFwOJ9CEARMJhO0220UCgWUSiV0u12yTGC7bh9L++Wn+CJ/Orak+nA4YLPZoNfroV6vYzabIZ/PQyaTQaVSfXRMmsPhcE6RJAnz+Ry1Wg1XV1e4vb3FbrdDIBBAKpVCMplEMBiE2Wx+FMNVP8YXKfhskbDb7cZ2u8VyuYRWq8VisUC9XockSTCZTDCbzeRgx3P6HA7nfQ6HA9brNdrtNkqlEq6vr9HtdmGxWHB2dkZ/vF7vo3DD/Cm+SMEH3g1EmEwmeDwepNNpHI9HlMtljEYjdDodlMtlGrAwm83QarWPPv/G4XB+PpIkYb1eo9lsolAooNlsYj6fQ61WIxQKIZ1OIxaLkXXCYxd74AsWfOCd6NvtdqhUKqjVahwOB8znc0wmE9zc3ECSJJyfnyMej0Or1f7Zl8vhcL4gZDIZ5vM5crkcvvvuO4xGI8hkMgSDQWSzWaTTaXg8nkdhe/xz+aIFH3jnd63VaqFWqzGbzTAej9FsNtFqtbDf78ktj3lm8Cifw+Hsdjssl0vUajXkcjlyzfT7/chms8hmswgEAjCZTH/2pf6hfPGCzzCZTIhEIliv11AoFHjz5g0ajQYMBgPsdjsUCgX8fj+MRuOffakcDudPRBAEdLtdVKtVXF1dodVqQaFQwOPxIJPJIJvNwu/3P+oBq0/xYARfJpPB7XZDJpNBkiT0ej2USiV0Oh0UCgVIkgSFQnHPeoFH+5zHyseGhJ5KWuJTsEna0WiEcrmM169fo1qt4nA4IBgM4uzsDM+ePUM0Gn1ykT3jQQk+uyOHQiHE43GsVitsNhvU63Ucj0fo9XoYjUZYrVYoFAooFAou+pxHBRM1URTvGX8plUpoNJpH31b4Y+x2O0wmE9RqNdRqNdzd3WG9XsPhcCCRSCAej8Pn85E+PEUejOADPyw78Hg8ePXqFeRyOS4vL9FsNjGbzaDT6WC328nq9Kn+UjmPF0mSyCJgs9nQcCKzG3nK7/nlcolKpYKrqyvUajWMRiMYDAbE43E8f/4cwWCQ0r9PlQcl+MC7Hn3WQyuTyTAajdBut9Hv91EoFGCz2QCANtFzCwbOY2K/32MymWA4HGI8HmO5XEKtVsPtdtPyjqeGIAjY7XZot9vI5/MoFApYLpfQ6XQIh8PIZDJIJBKw2WxPPu314ASfeV5rtVqEQiGcnZ3RyHSz2YQoitjtdlCpVNDpdFzwOY+K1WqFSqWCy8tLlMtlzOdzOBwOvHjxAkajEXa7/UmlMUVRxGQyQbfbxfX1NfL5PEajEaxWK6LRKJ49e4ZEIgGLxfLkxR54gIIP/FCcYpG+KIrUa3t7ewu1Wg2Px0NLU3Q63Z98xZzHiiRJOB6PEEURx+MRx+MRAO5Nf7PHAO8CFuYGy/79536f7XaLTqeDq6sr/OMf/8CbN2+wXC4Rj8eh1+uRyWR+nx/yC0UURcxmMzSbTeRyOeRyOYxGI4rsX716hUwmA6vVysX+/3iQgs8+JDqdDl6vlxYUN5tNNBoNjEYj1Go1aLVaOg08paiH8/vDOmQEQcBqtcJ0OsVqtcJ2u8XxeIRWq6U60na7xWazgSRJ0Ol09L48LbJ+zJaXvWclSaJUTqFQoD+VSgW73Q4mkwmLxQKHw+HJvM8FQcBisUCr1UKlUkGxWESv1yOPrWg0inA4THtqOe94kILPUCqVsFgsCAaD2O/3GA6HAN7lOUulEo7HI8xmMzweD/+lcz4rLGLf7Xbo9/vkvjidTiEIAux2OzweD9RqNcbjMQaDAY7HIxwOB1l8m81mWqn3KcGXyWQQRRHz+RyNRgNXV1coFAro9XrYbreQyWRPsiNtt9tRazZzvzwej8hkMnj+/Dni8TicTif/3L/HgxZ84N0krsPhIGdNuVyOUqlE4u/1ehEIBOB2u6lXn8P5HLAWyfl8jmaziWKxSK2AHo8HiUQCWq0WnU4HjUYDcrkcsVgM4XAYgiBAFEVoNJofXbxxPB6x3+/Rbrdxe3uLm5sb3N3dYb/f0wS6TqeDTCbDdrvFer2mFOZjvAEcj0cIgoDBYIByuYx8Po+7uzusVit4PB7E43FkMhl4vV4+hPkRHrzgA+8WptjtdmQyGSiVShwOB+TzeUynU+Tzeej1epydnZFvBofzW2HRt0qlglwup9V5nU4HvV4Ps9kMCoUCer0ezWYTtVoNJpMJgUAASqUSSqWSWizfF3wm1MzpcTqdolwu4+bmBqVSidxj2cIO5hlzd3cHh8MBn88HvV7/6BoWjscjvR6lUglv3rxBqVSCJEkIBoPIZDL0OTeZTI/yhvdbeRSCD7yL9NkkLsulDgYDiobW6zVevXpFrWv8zcD5LbAioEajgcVigcPhgMVigUKhwHw+hyRJsFqtMJlMmE6n2G639N8Wi4WicCb4739tSZKw2+0wm83Q6/XQbrcxGAywXq+hVCphNpspqj9NK5lMJqoPPCbBlyQJq9WKdmNcXl6iVCphPp8jGAzixYsXePHiBYLBIKXJOB/yaASfRU1OpxPRaBSLxQIKhQK1Wg2NRgNarZaGLlwu15P00eB8fpRKJYxGIxwOB+x2O7RaLTURdDodbDYbbLdbMvdTKBSUftztdlQLOIUFI+v1GpPJBKPRCKvVimpWLGgRBIEKwpPJBL1eD4PBAOFwmCZwHwPM5pilca6vr1EsFrHZbGCz2RAKhZBMJhEOh2GxWKBSqXhA9wkejeAzNBoN/H4/RFGESqXCeDxGrVZDtVqFzWajPL5Wq+X5fM5ngS3r8Xg8sFgskMlkmM1m6Ha7OBwOMBgMcDqdcDgcOB6PmM1m2Gw2kMlkHxV8FuGv12uMRiPMZjPI5XL4fD643W7s93vsdjuMx2NsNhscDgfMZjPMZjMsFgvsdrtHtYybrSdsNBq4vr7Gf/7zH0ynUwQCAZyfnyOdTiMSicBisfC1pz/BoxN8mUwGq9UKlUqF4/GIu7s79Pt9zOdzVKtVAO/aOU0mE6xWKyRJ4tEA5zeh0+ngcDjg8XjgcDhgMBgwHo8xnU6pvhQOhxEIBGAwGCh3/1OCfzweIZfLySKc+baPx2N0Oh2MRiMS/N1u99H00EOGvU7T6RT1eh2FQgHFYhHNZhM6nY4EPxaLweVyPckp41/KoxN84N0HxmQywefz4eLiAoIgoFwuo9vt0vHaZDLRh4nn/Di/BZZTdzqd8Hq98Hg8GI1GZHJmtVpxdnaGRCIBjUYDpVJJg1c/JtAs9bPdbqFSqWAymSAIAqrVKtbrNYB37YmiKNJ73mq1kq/OQ0aSJJpxqNVq+Pbbb3Fzc4PhcAibzYZ4PE7Lj9xuN/R6/Z99yQ+CRyn4wLs3jNFoRDabhVarhVwux9XVFQaDAfL5PDQaDQ6HAwKBAGw226PfVs/5fWFBhMPhgNfrRbvdxn6/p3RPMpnExcXFLxL8U2dMpVIJhUKB2WwGSZIwnU7RbrcxGo0gSRICgQAikQj8fj/l+R8yu90O0+kUvV4PV1dXePv2LVqtFux2Oy4uLvDy5UucnZ3B4XDwJoxfwKNVOZlMRq1rADAcDjEYDNDr9dDtdunDJJfLoVQqYTKZuOhzfjUqlQoajYYsuk0mE0RRpFSP3++nlsxTW4UfE/zTv2eCptVqsV6vsVqtsN/vYTabIUkS4vE4UqkUvF4vFYcfKkzsG40GCoUCcrkcZrMZtFotAoEAnj17hmw2S7toH1M30u/No1Y4Nn1os9kQi8Uwn8+hUqmQy+UovWMymaiAy3t3OZ8D9l5Sq9UIBALwer1wOBw0IPVb0Ov18Pv9UKlU8Hg8GI/HAAC73Q6fzweXy/WgUzpsnqHb7eLm5gbffPMN2u02DAYD7aI9OzujG5tSqeSf2V/Aoxb806goEAhgv99DEARUKhX0ej0oFAqEw2EYjUao1WrqX+Zwfgo2LMUM05bLJabTKU172+122O12xONx+P1+6pv/rajVajgcDpjN5nvtl2zbG0v9PCQRZI0TrDOp3++jXq+jWCyiWCxCFEXEYjFcXFzg7OwM4XAYZrP5wd7U/kweteAz5HI5rFYrQqEQ1us1Wq0Wlsslttst8vk8gHcfGLPZTKPuD+kDw/njEUWRBvqGwyGazSaazSbu7u4okIhGo9Qf/jnnPtjMyWNxgWWfNVEUMRgMcHV1hevra7TbbSiVSgQCAWSzWTx79gyBQIBbHf8GnoTgAz90UoRCIfz1r3+FTqfD7e0tRqMRcrkcjEYjnE4n1Go17cXlov/rOY2AT/PQv9QW+EuE1X/2+z356Nze3qLdbmOz2cButyMQCCCVSiEajcLj8fCT44/AdljM53OUy2VcXl6iUqlALpcjnU4jm83i/PycTko/Vp94/30nSRJZVT/0993n4MkIPvCD504qlYJCocB+v0cul8NqtUKj0YDNZoNMJqO9l0/9zfFrYL3T2+0W8/kcs9kMu90OSqUSWq0WZrOZ6iYPOUo79bVXKBRksWCz2Wj6MxKJwO1284aAH+F4PGKz2VAa5/b2Fr1eD6Iowu12I5PJ4OLigqZof+zGyW7CLL02nU4hiiLMZjNsNhuMRuOTX336pN6FCoUCOp0OLpcLwLvtQYIgoN/vYzgc4vvvv4coilCr1TAYDDwq+xWwDxybcK7ValgsFtDr9XA4HIhEIgiHw2Q69lA5FflwOAy9Xo/1ek2GaUz4eRfJj8OmaIvFIl6/fo1arQZRFOH3+5FMJvHs2TOaov2pU7coilgul2i1WpT/3+12CAaDSKfT8Pv9ZKz2VHlSgg+A0jUqlYp8SORyOarVKsrlMjQaDXw+H8xmM6xWKxf9nwE7QjOzr8FggHa7jVwuR+6ODoeDDMT2+/1nv4aPCcFvOaEdj0ccDgcIggDgXdslG9BjHvSspZcFEczyWJIkatFUq9UfXIcoijgcDhBFkRw3f88TAPs5mK0IK+z+2TBLiG63i3K5jNvbW8znc4TDYcTjcaTTacTjcVpi8lO/T2YlPZvNcHd3R1+PdTKxITXWycRaZFm65ynw5ASfHcX1ej0tTmHeJ6z3N5fLQS6XU4fFU3kz/FpkMhnW6zXtFa7VaqjX6+h2u9jtdjR8xOwFbDbbZ4962cS0QqGAJElQq9W/adReLpeTWByPRzidTjidznuPkclkVEDVarWQJAnD4RCTyYQE/2PvHVEUMZ1OMZlMqL3y97Tt3u/3GAwG1Ib8pWyB2mw2qNVqyOVy5Grrdrtxfn6OFy9eIBaLwYq+RiwAACAASURBVO12/+yvp9VqYbVa4fF4EAqFMJlM0Gq1sFqtkMvlMBgM0Gg0EAwGEQ6H6XX/El6LP4onJ/inmEwmhEIhWmLBinClUgmHw4H6qc1m8599qV8kLFJlnU83NzfI5XIoFAq4u7uDTCYjkY/H40gmk3C5XJDL5RAE4bPeSBeLBbbbLfnJbLdbLBaLe1H5KZ/aMMW8bebzOSqVChqNBrUFajSae50xp19zu91iPB6jUqng7u6ObBD8fj+dEiVJImfLer1OnjCZTAbhcPiTp8mfc+0fe44gCPc2Qy0WC7jdbhwOB3g8ng9OFb/Uh+f0un7uc0+f02g08P333yOXy2E6nUKr1SIYDCIYDMLpdNI0/Omqxx+D/e4sFgsSiQRUKhUsFgsKhQLK5TKKxSJ0Oh1CoRBevHiB8/Nz+Hw+2Gy2JzOt+6QFX6FQwGq1wu/3Y7lcQhRFFItFWifHCozM9Iqnd97BdqwuFgsMBgO0Wi2Uy2Uyt6rX6+j3+1Qkczgc6Ha70Gg0dLz+MVvgH/u+78OO491uF6VSCdPpFJIkoVQq4Z///CesVutHvz77/qwF931RWSwWqFQqaDabOBwO5EfPzM9Ovx67wUwmE1QqFbRaLZhMJoxGIxJ81mfOHtdoNHB3dwedTofhcIhgMEiPe/81+ZiwfmxLFnsce44gCNjv9+j3+yiXy5jP53C5XOh0OnC73R+csk6/5qfE9f3v8XOfyx5/OmGcz+fx73//G9VqldaRWq1Wusnq9XrI5fKPvld+7NpO9wzP53MMh0PU63WsVivIZDJ0Oh0sl0ssl0skk0kqrrNBrodcW/opnrTgAz/sxY3FYhQNFotFLJdLVKtV6uYJh8Pcc+f/YJFqt9vF1dUVvv/+exSLRQwGA0ppMJveSqWC5XKJWq0Gm80GjUZzr1Xzt8K6ZKbTKSqVCrrdLgDg22+/xWQygV6v/9EVgu/DxGW/35Pj5fF4RKVSweXlJbRa7b3rZ1+bGZ2Nx2PM53NoNBrUajWYzWZ6z7C6wGazwXQ6xWw2g1qtRqVSgcVioanRz/XasO/Hiujb7RZGoxE3NzeUyvi5Yvo5YSI+GAzQbDYxHo8hk8mg0+mozdVsNtMN6ZeeHtgaRHbqarfbGA6H2O12AN6lklarFe0aYIvn/X4/3WQeK09evVg+3+fzwWg00tKJdruNXq9HqQedTkd52acu+szJkJ2E2EIKtmlsu91Si9x4PMZut8NoNCILi0+JzKkwf6x//2MfRPZ3LFWyWCwAAM1mE4vFgiLd08Il871hnUJMIPb7PaWEmPCyrz+fz9Fut6lGwH4+9pzTaFcmk0GtVmM6nUIul+NwONz72qfXrVQqKZf//ilDFEW6LvaaKRQKajr4WEqGXZcgCB/cWBUKBSaTCd0U2XWxXvXTr/0p0Tsej/e+x8997qmFM/tZTnvlFQoFdrsdBoMBrYf8rUV3JvqLxQLr9Zqulw3MsVOE1+uF1+vFfr9/NMNsn+JpK9f/IZfLodFooFarkUgksFgsIJfLUavVUC6XaYmFUqmkJRdPGdZZotfrYbfb4ff7sVgsKLqVyWT0YXK5XHC5XLTeT6lUQhTFj4r+qVUBE2km0Mw24H3YjYAV3A+HA+RyOSKRCEKhEHa7HYbDIZnnCYIAj8cDj8cDp9MJg8FAKwLZ4JQgCNR543a7qSUQeHciZLtVO50OOp0OttstFAoFDAYDPB4PfD4fLBYLjscjreXrdrtYLpcAfliY4vV6f7Q+tFwu6bpYOsJiscBut8PtdpO9wOlk+GKxoGCFdUMxq3C32w21Wg1JkugGxpa0sGXoXq8XLpfro5bhMpmMTgytVouK8swplC2B0el0OB6P9D6RJAnj8RjNZhPD4RDL5RKSJMHlciEajcLlclG6lL03fs0p5zRdxIa5WNfYcDgkwzl2qne73XA6nbBardQ++9jz+FzwT5DJZPB4PDg/Pycr2m63i2q1CrvdTkdujUbzpJctyOVy6HQ6+Hw+vHr1CmazGZFIBNVqFa1WC8PhEJvNBhaLBclkkuwFfD4fTCYTCTvjNOe83W6xWq3otCCXyym3y0zBTp/LumQajQb+8Y9/kOD/z//8D/7+979jtVqhWCxSy60oishms/j73/+OeDwOi8WC6XSKm5sbXF1dkQA6HA6kUimkUin4/X5yoDyNRN++fYu3b99iOBxCr9fToNCzZ8/g9XohCAKGwyFubm5weXmJTqcDjUYDl8uFs7MzZLNZ+Hw+iohPxWa326Hb7SKXy+Hq6gr9fh8ajQbhcBipVAqZTAYej+feielwOKDVauHNmzc0UKhUKuHz+XB+fo5UKgWdTkc1idevXyOfz0MQBJjNZgQCAVxcXCCZTMJoNH6wWJ3dwLrdLl6/fo2bmxusVivY7XZ4vV6cn58jk8nAarVSe6pKpSL/qu+++w6VSoVOPqlUCn/5y1+QTCZhMBjohvJTdYRPcbr8fbVaUXtmsVhEtVq9l9aKx+O4uLggMza/308LZh4zXPDfw2AwIBAIYLvdotvtYjweU1fF6VQli4KeUkvXKWq1GlarFQqFAhaLBS6XC16vF/V6Hb1eD5PJhMSabWtyuVyUOtNoNB8I3Xw+R6fTwd3d3b0jt9/vRyKRgMvl+iDHzYq2LpcLjUYDl5eXJNjBYBDT6RTD4RAulwuiKMJkMuHly5f461//ikAgALlcjmaziV6vB6fTCblcDr1ej2g0ikwmg2QyCb/fT6cTdmJQKBSo1+t08guFQohGo7i4uMCzZ89gsVgwHo+hVCrR6XRgMplwPB7h8/kQi8WQyWSQzWbh9XopkGB/NpsNBoMBZDIZRqMRRc3sRsGe6/F4IJfLyWFyOp1iv9/DZDLBZrPBbrfD6XQikUjg5cuXiEQikCQJk8mEXiOfzweVSgW/3494PI5Xr14hkUh84P0jk8mwWCwoHeR0OqllMhwOIxaL4cWLF8hms3RTZ6sYR6MRptMpzWJ4PB7Y7Xacn5/j1atXiEajJPi/paZwGtX3ej0cDgfodDrYbDaa3JXJZDRtn8lkEAqF6KT12MUe4IL/UbRaLZxOJ9LpNI7HI/L5PCaTCUqlEg2uSJIEu90Og8HwJN4o78N60Fnkq1KpYDab4ff70e/30ev10Ov1MJvNUKlUaMjtcDggEolAp9Pdu1kej0csFguUy2V89913VBPw+/1UUPuxm6tKpaK/32w26PV6KJfLmM1maLVaEAQBiUSConaPx4Pj8UjtpPV6naK/aDSKZ8+eIRaLUdqHpZPYqsxSqYRarYb5fE6umJlMBtFoFCaTCcvlEo1Gg7qWJpMJjEYjYrEYTY/a7faPduaw55bLZQwGA0iSREtUWAvnqUAdDgeMRiPqaW80GtjtdvD5fEilUshms4hEIlCr1RgMBqhWq6hUKphMJtBqtfB4PEilUkgmk/B6vR8tXLKlK7VaDZVKBaPRCCqVCk6nE8lkEolEAoFAgDZPyWQy7Pd7irALhQKtfPR6vUin00gmk/D5fPe+328JoFhkzwa5CoUC+v0+AFBqzmq1UuDh8XhgtVoffaH2FC74H0GpVMJqtSIej0OtVmO322EymaDf71M+meX7WMT/FCN99rOzfD6LGEejETqdDm5vb6nHmr1W7ANnt9vp60iShOVyiW63i3w+j//3//4fLi8vsdvtkEql4PP5aKXfpzjN367Xa9zd3cFisVBHjNFoRDKZxFdffQWPxwOZTIbBYIBSqUSr85RKJZxOJ2KxGHmunxZHN5sN2u02SqUSisUi+v0+JEmC0+lENBqlGwQA9Pt9ely324UoirDb7YhEIkgkEnC73TAajffEXhRFbLdbdDodFItFlEolrFYrqNVqOuXEYjHy1gdAS9FbrRby+TyKxSJGoxGlmOLxOGKxGKxWKyaTCTqdDkqlErUp2mw2mpNgN6H338uSJFF6pFQqoVqtYrFYwGQyIRgMIh6PIxqNwul03rvpjkYjlMtlvHnzhpwvHQ4H4vE4Xrx4Aa/X+1k/O6IoUvG+2+3i7u6OZg8CgQBCoRACgQBcLhedPE8DhacAF/xPoNVqqci1WCwwm81QrVbR7/exXC6xWq0AvIssWX75KcKKpkqlEhqNBgaDgTY+yeVyqNVqjEYjSgG9H9kD7wqNtVoN19fXuLq6Qi6XQ7PZBPAudbDZbH7yqM+ugwlgoVCg5TcOhwPRaJSmN1kvdq1Ww+XlJfL5PHQ6HUX/LNJlniuCIGCxWKDT6eDm5gY3Nzc0VxCJRCgNYrfbcTwe0e/3cXt7i5ubG7RaLcjlciSTSTx//vye2J9GlSxK73a7ePPmDd68eYN+vw+bzUbpJbasm6U/RFHEZDKhyP76+hr9fh8mkwmpVIpOKSaTiQYKr66ucHNzg8ViQemes7MzBINB2O32D4q1bPtUrVbD27dvcX19jclkApvNhkQigWw2i1AoRINSALBer1Gv11GpVPDmzRvk83nIZDJ6fdPpNAKBwGetg7HCtUqlovRhOBzGfr+nm2UgEKBI/6l22j3Nn/pnwDp3LBYLzs7OIAgC1Go1vYGXyyVMJhMJ/e/th/JQYDlwZjcQCoWw2WwgiiLtHDjduSqKIobDIW5vb/H69WtUq1XMZjMA715Tg8Hws5bMs84O5r7Y6XTgdDppqjKbzSKZTEKlUqHf76NWq1G6ZbVawefzIZ1OkzMjy2Gz0weLoG9ubtDpdHA8HpFOp/G3v/2N8tZM7Jmw3t3d4XA4IJVK4euvv8azZ8/gdDo/upFqtVrh7u4O19fXeP36Ner1OhQKBRwOB7LZLC4uLui5pzWPRqOB29tblMtldLtdqFQqZDIZ/O1vf6OIfbPZkDlZPp9Hv9+HTqdDOBzGixcvEA6HP+obdTweaeL49evXuL6+pu8RCATw8uVLJBIJWCyWe+Ld7/eRy+WQy+VQqVSw2WwQiURwfn5ONsefu+mBtcIy2w673Y5kMklumSz9yjx0nipP9yf/CdiHSqPRwO12U5vgaDRCv9/HaDRCPp+HVqslh01WxHzqMFdSnU5HuXL2+rGoH3gXPS6XSzSbTbJlGAwG1DbHNpAdDgfynjltn2MDT6ytcjqdQhAEGqn3+XxIJBLIZDL3ctilUuneKSIUCiGdTiOVSpH4sY4R1r7ITh93d3dQKpVwuVw4Pz/H8+fP4fF4qFDIumoajQbkcjn8fj/Ozs5wcXGBaDT6gVGXKIrkQ8TSS61W614hlUWnrKWSvW5sBiKfz2M8HpM/1PPnz5FOp6nl9O7uDldXV8jn85jNZjCbzeQgyVIx768KZKcaVuNgaS+DwQCv14uzszMkEgnqMmI1mPl8jnw+j0KhgFarBeBdUff8/Jy2VX3OZTDvv++YqNtstnttvY99gvbnwgX/J2BtmCwtwPrMG40GOp0OgHdRIPN3fwrj2T/F+0VINkTDHCbZMNJyuUSv10Oj0UCtVqNBN7PZDKPRSDeK4XCISqUCo9GIUCgEq9VKhfPtdkt/3+l0sNvtYLVa8eLFC/zv//4vzs/PqUOn1WqhUqkgn8+jVqthvV5TTp3VCk4j6NlshkajgUqlgrdv36JcLkOlUlGRMpVKwWQyUXTOlncUCgUAoMXiZ2dnn8yNs+eWSiX6GZRKJaLRKJ1KXC4XzQHs93sMh0NyI728vESv14PJZEI4HEYmk0E8HodGo8F8Pke320WhUCDbCYvFgmg0SukV1n30vu3EdDpFs9kkD5rBYAC9Xo9UKkU3UXZSO7UlLpfLdIqQyWRUD2GF8j/CnoSlGNnr/ZTcMH8KLvg/AetGYR0oLIKUJAnFYhG1Wg16vR5Wq5Xy/kaj8UkMcfwS3t84xASfnZjG4zE2mw1FacC7NAfrea/X67DZbLBarfeGlXa7HcbjMbrdLiaTCQRBgMViQTabxVdffYVgMAilUkl1gnw+Tx0qBoMB8XgcX3/9NfklsRsJW8pRqVRQKBRQrVYxGo0Qj8epI4dFt71eD9Vqld4Pw+EQgUCAOnKCweA9D/bTiVjWNVMqldDpdLDZbOByuZDJZPDy5Ut4vV5YLBbK2bNaQrFYxO3tLer1Oo7HI0Xsz549oxMp89AplUrUTsncKDOZDLxe771FNCwlxjpdmGV4p9PB4XCg68pms9SRw16r0WhEN0YW2VutViQSCXz11VdUoP2j0ilPOeD6Mbjg/0xYmoClBpgfB5uE/O677yAIAuWA2ZAO5wfeT2VsNhssFgvs93uaypUkifrdT28KnU6HTO5+zHiN1RB8Ph+J0nA4RK1Ww5s3b2gpBttxzNIaVquVLCO22y36/T4KhQKurq7QbDYhCAKCwSCePXtGvfkqlYpSe1dXV9Ta6ff7kclkkEqlEAqFPvBgYhHxaDTC7e0t3rx5g2azCVEUqZbA2i9Z8Zs5ut7d3SGfz+Py8hKNRgPAu5QUO0mctpve3t5S3p3t2U2n00gkEvD7/R80GrC2xtPndjoditTZzx4MBsnOmZ1QarUarq6uUCwWIUkSotHovaLuUx5U/JLggv8LYHl6pVJJ3ii5XA6dTgeXl5fYbrcwGAy0ZJn1JHM+hEW5x+MRRqMRiUQCVqsVs9kMi8UCy+US6/WaCofL5ZL6+NngFSusW61WOBwOMtxSKBRQq9WQy+VYLBa0Oo9NxbJoOJPJIJFIUPQtk8koRcQKr4VCAev1GoFAAK9evcLz588pnz6dTlGtVqnTZ7FYwOfz4fnz57i4uEAkEoHZbP5o5wuLvlkxlBU2X716hRcvXiAUCt2b8WBWDiyyZxOy6XQaX3/9NbWRArg3oVsoFCBJErLZLP7yl78gHo9TZP/+74PVEm5ubvD27VuUSiWaX/jrX/9Kp5rT9/VwOEShUKC8/WQyQSQSwbNnz3B+fo5wOMzF/guCC/4vgHUCMCsBVoQUBAGlUgnNZhP5fB4Gg4GsBJ5qu+ZPwewZrFYrotEo3G43xuMxGo0GqtUqOp0O1us1mWupVCpotdoP8s0ajQZOpxNerxc2mw1qtZpOD+PxGOPxGDc3NyiVSpjNZpTrZoM/p8tAmHVxsVjE27dvUa1WIQgCrFYrMpkMvvrqK8RiMQCgITF2athut2Ql8V//9V9IJpO08YrBOoiYPz0TVfZcNvCVSqVo9yo7dQwGAxSLReRyOXS7XRyPR3i9Xlrw7XA4AACdTgfX19cUnbOhLbYM3OPxfLCYRRCEe2J/eXlJttB2u52KzqFQiNxON5sNZrMZisUi8vk8WRoHAgFks1lqI/29CrScXwcX/F8BW4zCNmZtt1saTqnValSU1Gg0tGji1OCK80OKTCaTwel0kqixEf5Wq0VRusVigcfjoR700/wsc2e0Wq0wGo337A+YzQPzb3G73YjFYuRhYzKZ7hVDp9PpvYGx7XZLAztMLNVqNXXk5PN5XF9fU2QfCoUoCmbXcnqtrF20Wq3i9vYWxWIR6/WahpfYdbHWQTaItVgsKJhoNpuQyWRIJBJIJpNIp9OwWq3UQXbaEqpUKqnIenZ2BpvN9kFbIqsLsOnUq6srVKtVAKBhrHQ6TcNerNDc7XapAM5uQJFI5F5qie+P+PLggv8rYJ07TqeT/DuOxyMKhQKtxNPr9bBYLNDpdPTh54L/A0qlkuYYWLHQZDKRhzmzZVAoFAgEAggGg/B4PB8IPiuqs6+lUCiwXC7R6XTImqDX65FIsuErp9NJqQZm9dzr9WhFY7fbpc6sdDqNWCwGs9mM/X6P0WiEVquFWq2GdrtNp4Znz54hHo/D4XDc22XL0lez2QzNZpMmXdmQFPOhiUQicDgc1BTAThxsbqDZbGI2m5FlwvPnz2kh/HA4JCuHarVKHUiskMssH05bWpn9wXg8Rr1ep06hyWSCYDCIZDKJbDaLRCIBs9lMPj9ss9fl5SWtJjSZTEgkEvj666/JV57XsL48uOD/SlhKwul00jrEw+FAudxarUYf3Hg8/sE+1KcO68c/TXkwW2N2OgoGg1AoFDRp6vV6acr0fZjdBTtp5XI5Ku6eer4kk0l4PB7y5meDVSzPz04DbClOMpmkG4QkSWi1Wri+vkalUsF4PIbZbEY0GkUymaT8+Kk3y/vDYGwF5Gw2o+9xdnZGU7QsPy4IAtUImGXCcrkkewaWMjGbzbTk4+bmBuVyGfv9Hh6PB/F4HGdnZ4hGo/fcXhnsZ7+7u6OF85vNBm63m04Q8XgcbrcbSqUSq9WKJpTfvn2LYrFIaRx2TZFIhKdxvmC44P9GDAYDTQ4ej0fs9/t7FgyHwwFGoxE2m41HPD+BTqdDMBiknaTMA95kMlHK5rSN8BTW8sl6yFerFQRBICfHs7MzpNNpapsFflgwMhwOkcvl8M0336Df70Or1eL8/BwXFxdIJBLkETMej+lxzOqYFSfZjeR9y4Tj8Yjtdkv2BGxht9VqxdnZGV6+fImzs7N7lgmsNZLl4//9739jPB5Tzp712jMXyPF4jFqthpubG4zHY/j9frx48YI6fT5mmcDeq6wtNJfLodfrwW6349WrV8hms3SjYymg8XhMdQT2vVgai50iuNh/2XDB/42wjVnM93u73QJ4t6B5MBigUChQ5OZwOJ6su+bPgeXrLRYLgsHgJx/3MZ/097dlCYIAuVwOp9NJjpHBYPCe7zqzY2Y2AL1eD5IkIRgM4tWrVzg7O6N2Teb6eHV1hU6nA0EQEI1G8erVK2QyGbhcLlobyGBpnF6vR2LPtlsFg0G8fPkSFxcXsNvt9/a3TiYTVKtV3NzcoFKpYDAYkBc+63yxWCz3lsc3Gg2s12vy0WHpHpZeOn2dTn/229tbVKtVLJdL6PV6JJNJvHz5km4oSqWSblinvf/7/R5ut5vsmpnFAufLhgv+Z0KhUJB/B1v7xsbNb29vAQCJRIJa9Ti/no+ldJjgMw9+t9uNFy9e0EIPVqRlC0OWyyUtAbm8vMRoNCJffxatsgh6NBrh8vISb968Qbfbhclkgt1uRzabpZTH+6ZwTFTf72k3mUxwOp2U/rDb7TTdy7plGo0G3rx5g0KhgMViAa/Xi2AwiGw2S/3zTOxZamW9XsPn88Hv99PjmD3F6Wu02+3out6+fYtcLof5fE7+9mxQjLUfs1kTVqBtt9vY7/c0oZxOp+H1enk32gOBC/5nQiaTwWAwUGTKunc6nQ6azSatfGOteqyoxwu5n4f3BT+RSODVq1d49uwZQqEQRbpM7AeDwT0vGr1eT346rF7A0jjM1Oz6+hoqlYoGkJjrIxuOYjB/HFZszeVyuL29hUwmQzabpUIo26TFWnsXiwVNrOZyObRaLaoRsO9ptVrJXqFYLNJgld1up8UqqVQKTqfzg8IpK06fduTU63VqM2bROlvuw5aXVCoVXF9fo9FoYLVawWAwIJVK4auvvkIoFOJ7nh8Q/Lf0mTjtFvH5fNSqKZPJ0Gw2cXd3Ry2Eh8OBtihxPi/sxhsKhXB2doZIJAKbzUbF0P1+Ty2V+XyeJkmZd/ypwRfrly8Wi2i32zgej3C5XPS4UCh0z/mTIQgCer0eDUi1Wi3adhWPx5FMJhEIBO49l3n4l0olXF9fYzAYQKVSwePxIJ1OU/3hcDiQP87t7S2le7xe7z1rZ7aY5pTNZkMnjkKhgG63S3uame8PS3uxTic2WMZmEhwOB00osxMKbzl+OHDB/x0wm83kQy6Xy+8ZSy2XS2y3W2g0mg8WYHB+PafTt2yLUzgc/mAh92azQa1Ww3fffYdqtYrtdkvWvWxjld1ux3a7RaPRwOvXr1GpVLBarRAKhehxsVjsA0M0ZtG82WxQr9fx7bffolKpAACCwSAuLi6okHrqyc46i4rFIv71r3+hXq+TfTEbmIpEIlAoFNR6+c9//hN3d3cwm83k7ZNKpchO4vTEwU4/0+kUpVIJ//nPf9BsNqFUKpFMJmnYKxQKUUGbWUYwl9D5fH7vetg+YODjKTbOlwkX/N8BNgik1+ux3+8xn89pWQWzzWX5ZJbD5YXczwdbvXhqa7Db7bBer8nkrF6v08DUy5cvKfWj0+nIs+b29ha1Wg2z2QwejwfPnz+nYqjdbqehLQbrm2d2zywFEg6H8fz5c7x8+ZLy4+y5LG3CDNSq1Sp2ux1isRguLi6QTqepPbXX65HzZavVopZIVqdgi7hPYZYJ4/GYnttut7Hb7WhXQCaToRvFer3GaDSiNFStVsNut4PL5aKlKqlUCjab7dELPetkOhwOlJI9/XM8Hun/M+8s1obLbv7MuZOd7v9suOD/jrAj+cXFBVQqFSqVCtrtNgaDAd6+fYv9fo9EIoFQKMQLuZ+R0w8l8IOlMJtwbTabkMvl8Hq9yGQyJHgqlQrT6ZT60tnEKetGYbtozWbzBzlrNsDELIsrlQpUKhWi0Si1hJ7m+5llQrfbpZ2vw+EQWq323s5Xl8sFuVxOfk1XV1cYj8ew2+20CDwWi1Hh+JTT1surqytcXV1R0TkQCNxrJ9VqtXQSZTcGZrrGvO9TqRTVHR6z2IuiSHWY8XiMxWJBNirMW58V2QVBAPCupVij0dDy9sPhQPM5ZrMZNpvtg5bdPwMu+L8zZrMZyWSSBn0OhwPZ6QqCAEmSyDZWq9XyQu5ngrUf7vd7TCYTGkzK5/NYr9e0IOV0WIjlra+vr3Fzc4P5fA6TyUQCzNYYnoo9+z7MliGfz+Pt27dYrVaIRCKUbonFYtTmyLx+2BIT5s+/2+3I/uHs7Aw+nw8ajQbL5ZLcKEulEtRqNQKBALWbshvJ6XWxYS92WmHFaYVCAa/Xi1gshvPzc7KF3u/3tKnq8vKSlqfbbDZcXFzQDtrHXqBlE87MzbTdbmM8HtOSo9N91oIgYL/fQ5IkqNVqWkh/OBwgCAJ2ux3kcjkcDgd91tnr92d9xh/vb+4LgO3YtNlsAN4d+UVRhEwmQ7vdvucXIwgCAoEAj/Q/E+wDORqNUKvVUC6XaX0is7lm3vYWi4X8aiqVCsrlMsbjMZngWRKLFgAAIABJREFUxWIxWh7+sTWAbKiKWSZMp1OYTKZ7hWOHwwGtVkspln6/T1bHzWYTm80GVqsVgUAA6XSaXCZnsxna7TZub2/JxsDlctESElY4fn+wip1qmAdPvV7HZrOBz+e7tyOX/exsOcz19TUtHPd6vWTPwKyaHztskK1er6PRaKDdbmO1WtFyo9Ol6yx9czgcsF6vaQ0qq6HM53NsNhvYbDbMZjOEw2EEAgFaw/hnwAX/D4JNjzLPl+12i1arhWKxiPl8jvV6DY1GwwX/M8C6RrbbLUajEd68eUM7Xw0GA6UzWGukIAiUMimXyyR4gUCA2iHdbvdHzcAkSUK/3ycv+G63C7VajXA4TJueXC4X+fYwO4NqtYrXr1+jXC5DEARaVv78+XMkk0kYjUZMp1MqHOdyOcxmM9hsNrIfZhurPiYem80Gd3d31M8/Go3ubcVKp9NkC9LtdvH9998jl8vRLl3mO3R2dkYniKfA4XBAp9PBt99+i5ubG4xGo3s1IXbTZlG9Wq3Ger2mbWWsjdZoNKLf76PT6UCn06Hf72MymUCSJFrT+WfABf8PQi6Xw263U1GN2S5MJhPU63WyEGD+7ryQ++tgeWtWPG232yiXy+j1elCpVOT5wkRcFEWKtIvFIvr9PpRK5f9v77ye2kqTNv4o55yFkJCEsHEa187ebdXe7v7Te7kX801NcABsMpJQDkc5S9+Fq3uPMGB7jEnqXxVlHLCE0OnTb4fn4dHDdDqNWCz22QU6Go1YO//jx484OjpCpVKByWTCxsYGXr16hXQ6vaQaSUtcuVyOZYUVRUE4HEY8HmfrRI/Hw6eG/f19HBwcQFEUeL1eHtGkaSI11BcgbSASQ2s0GnC5XLxjQNl6p9Nhv969vT12qqIlr2fPniGZTN5ZcLpNKFunm+z79++xu7uL+XyOaDQKo9EIm80Gm83GZTxa4qNlucPDQ4TDYQSDQZaY6Ha7qNVqXOJxOBwsLgfc/oSTBPxbxmg0IhgM4sWLF9Dr9ZxR1ut1vH37FpPJhGVpJdv/eshCcbFYoN1u4/DwEDabDZ1OB/1+H3a7nTN7GpkdDAYc8A4PD9Hv92G1WtmxikxZLmvQKorCQfXo6Ai9Xo8vZsrsL8oakBYNGXzTXDvJF4fDYRgMBpbkIN2d2WyGcDjMI5TxePyz9wY1C8nda39/H7lcDuPxmFU/t7e3uVRUr9dZMO7s7Ay9Xg8ej4f1ejY3N+H3+1cm2E+nUxa4Oz8/R6lUQrfbRSAQQDKZxMbGBkKhEDfsh8MhK6xWq1Vu6pKECpVnZ7MZq5yenZ0hHo9je3ubtbXI7/m2kIB/yywWC3Z4MpvNMBgMmM/n3Mgdj8eYzWZs9nGVWNh9hY67NOmgHmmjNzjpxP+INzrJWRweHsJgMHCTze/3Y3t7G1tbWyxrXavVsLOzg7dv36LRaMBgMCyZhVwmGUCSCWpXKcqgQ6EQnj59iufPn3MJiMbzxuMxCoUCPn78yGYs1COgOr/dbkev1+MMk/YE6N+pRyIv6uOQbj5p65Api9lsRiQSwbNnz5BOp2G1WnkB682bN9jb2+PHiEajvGdA+vcPCcrS6X1HjVK9Xs8fWq320utpPB6j1WqhWCyiXC5DURTM53N4PJ4lrwLan2i32zg7O0Oz2cRsNuNRa5/Ph2AwiFgshul0Co1Gg9FohNPTU5TLZRSLRTQaDcRiMe7fScB/xJBrFmVOZNun0WiQz+dRLBY52FMj9yGJUlFwo5G2Wq2G4XDIdVCPxwOv13vpJuj3Qhk+6czY7Xasr69jfX0dyWSSlS/n8zkqlQpvkR4dHfE4JDVoI5EInE7nZxckafCcnJzg5OSEt1X9fj82NjaQSCR40xUAT8pUq1Xs7Oxgf38flUoFVquV3aGSySTcbjcGgwFn99lslh26otEoNjc3EY/HWcf/oj+woigoFAo8y99sNnnCKJVKIR6Pw263o9VqIZvN4vj4mPtHTqcT6+vrSKVSSKfTiEQinz3GQ4Amk5rNJmq1GmfeXq8XoVAIbrf7MxkM4H+lsHa7jXq9jkajgW63i9lsBovFAq/Xi0AgAL/fD4vFwiKJiqKgXq+j1WqxVafH44HL5eKT4XA4ZI+FbrcLRVHQ6XQwGAx4zPM2kYB/R2g0Gt6SJNlfenMcHByg1Wqh2+3CZDI9qICvNtXY29vD+/fvUavVYLVal9QV1dMON/W4AHjTtd/vw+v1IpVKIZlM4uXLl1hfX4fBYEA2m8Xu7i52dnbw+++/o9VqcV2cvGgvk0wAwBux1OAcDAYcLGlJSi0R3O/3cXp6yo91dnbGOwAvXrzA3/72N/h8PgyHQx6f3N3dRa1Wg8lkQjAYxPb2NksrXBaIZ7MZqtUqi7SRjIff78fW1haPeLbbbRwfH+P//u//cHx8jG63C7/fz69POp1GIBB4cJk9MZlM0Gq12JzlzZs3GI1GePr0Kf7+979zM/wyptMput0ums0m2u02RqMRgE+7NBaLBRaLBQaDgZvcJBFN+wo0wurz+WC322G1WmG32zEcDrm0R1v2vV4Pg8EARqPx1v1+JeDfIdTIpayDNNypvgp8mu6xWq1wu90wmUz3trwzm824WVoul5HNZpfMvSkznU6nAHDjs9zq4zpdSNFolMcXaReCnieZpBsMBq6P07+7bCKFlCxJNTKXy7GUMkkmpFKpS7+Wsk7qEfh8PmQyGTx//pxtMmu1Go6Pj7G7u4tCoQC73c5SBrQFfFUpolQqsVFKoVCATqdDPB5HOp3m0Uu6Uan9fX0+H7a3t/Hq1SsuYT1kaL59Op3yOGur1QIAWK1WbpzSkholHXQyJMHD8XiM+XwOnU7H7ym6yZLtZL/fx3g85sel8gz1AobDIRwOB2w2G+x2Oz8Wvf/oMW79Nbr1RxQ+g2rHL168gE6nw9HREXK5HBqNBt68eYPJZIJ0Os0aLPeNyWSCZrOJ8/NznJ2d8Ue1WgUArK2tYWNjA5lMhssXN13OUatlkkz1P//5T7x+/ZpLFMCnm6zdbkckEsFisWBTb5ImuMzAo9/vs6b9n3/+yXPzVBt/9uzZUhlHjdFohNvt5tOFRqOBx+Phpu5wOGTzEgrYALC+vs6WiV6v99Jg3+v1cH5+jo8fPy41eJPJJMsc6/V6VsckzX+j0cglrpcvX/LP5KFD4oXRaBTPnj3DfD7n3YWDgwNWGKX3YywWW5LfAJZ9FS7+mUajgdls5pOqxWKBx+PB6ekp9vb2WFk1HA7zqV0tyXCRy3wdfjQS8O8B8/kcNpsNqVQKZrOZj+2UuQ2HQ17qUDdy77LGSiYjw+GQ68IfPnzAx48fcXx8jPPzc+j1eiSTSYRCIcRiMd7qHAwGGI/HN3Ja0Wg00Gq1KJfLaLfb7DCWTCaRyWTg9XpZXkCn0/FztlgsCIfDHKhdLhdvm1JdlbLFWq3G5uB7e3tQFAVmsxk2m40nN4bDIT+GurzU7/cxn8/hdDphMplgNptht9t5LJJOQjs7O+yUFggE4HA4eDO30+lgOBx+JsFMZZy3b9/i7OwMpVKJa8ikdVOpVJDL5fDrr7/i8PCQ1THpZ0JLgYqiPHjfZZq2MRqNiEQiAD5JHnz8+BEnJyfY39+H0WhELBbDy5cvMRgMEI1G4fF4OFu/bHKGfKt7vR5vxZMLGjXmyQtYq9WiVqshEAiwkuhkMuFsnk4Md3X9SsC/B9AbgEbtKCBqNBo2uz4+PobRaMR4PEY0GoXT6byzkTky0iDdGdpkPT4+xunpKfL5POr1OqxWK0wmE28eDgYDVgi9qeMsXaAka0BTE2S0rSjK0kU8nU7R6/XQ6/Uwm82g1+vZsYwmOYD/6fHQrsTp6SkODg6Qy+UwGo1gt9vhdDrhcrl4oUadyanLBL1eD91uFwC4HkzlOWrSHh8fo1KpoNPpYDKZ4OTkBAaDAblcbikDVZcW6vU6jo6OOHulG0M2m+XA1Ov1kMvl8ObNG5yfn3Npg0S92u02Jxg/KuO8KrDd9OPR49DPmPYM6OTZ7/c5INN7IJPJIJFIwGQyYTabLU2REZPJBI1GA4qisCwGJWFU2iGZBZrYIRkVKv/QxBBNq101LfSjkYB/j6Dlq42NDVitVt7IpaWOTqcDRVGg0WiubD7dBovFggPJL7/8gv/+97/Y399Hu91Gu91Gt9vFaDSCwWDAcDhEoVDgpRUSDrvs6PxXoAun1+vxhAVlVaenpzAajUuPQ1ngbDYDAL7AL5p70+/Jk7bVaqHZbKLb7fKWZaVSwe7uLh/d1Y9DAVQ9JkhSG/R4tHXbaDTQarV4YqtSqaBareLXX3/l4KMuK9Dzot5Aq9XCaDTCfD5HrVaDoih49+4dnzAUReG5cqPRyIJtv/32Gy/40XO9SdSvKWW06teFXq+bCvzqGy695r1ej19fyuKr1SoKhQJOT0/x008/4eeff0YsFsNisYBOp2NlS5JBoZHacrmMUqmEQqHA/Rg63TWbTYzHYxiNRk4ESF6h1Wotyarcxfw9IQH/nqHeyNXpdJxB1Go1ZLNZjMdjbgAFg0HOom8zW6Cg2e/3Ua1WuWavVglUj0hSE00d6G4q4NNFTqUaMp6p1Wro9/ssWUvPm77muu/tKkwmE2/NUiDI5/Nf/NqveTyr1bq0fdntdvlUcNX/Td87TZBQxrm7u8vz5yTqRWUk+prBYIDBYPDV3/u3cPH7Vd9kf2SWqz5d0Q1lOp1iNBphOp3yjYauKZ1Oh1AoBEVRuDTn9XrZMKfb7WIwGPApsVaroVQqIZvNotvtwu1285h1MBiE0WjE5uYmG8PQYl+pVOIEiBIfElOUTVsBwP82cp89ewaNRsN1cUVR8Mcff0BRFJ7CCAaDtyq9qtVqYbFYeNpEURS4XC7U63UoisJHWJvNhmAwyPVMapCRXvhNPRedTodms8kCaQBYztdqtV4a8NV1dvWvl3FZgFILZ30pUF73eOqaLmXBdCqgAHkVpLNOTfNqtYpcLodcLofhcAiv14v19XWsra1xckDZ/Gw2u9Gfw2XfL/3/o9EIrVYL7XYbk8kEZrMZTqcTdrudy2g3EfjUj6uela9UKlzGGY/HMBgM8Hq9SKfTeP78OVKpFPsUUO8sEAjw61osFrnnEY1G8eTJE7Z69Hq9MBqNPMoZDAbZrIYE6crlMrRaLW8y+/1+Vje97bKOBPx7ymKxgMViwcbGBiwWC3f9z87OkM/n+eg+Go0wHo8RCoXYVOVHN4TImzcSiUCr1cLv9+PJkyc4OTlBPp9HtVpFr9eD3W5HIpFAMplEIpHA2toaL6Tc1POjgJ/L5fCf//yHj+3/+Mc/8O9//xsej+fGSwd3jbreTj2GXC6Ho6MjHgGczWZIJBJsorK+vs5Bhr7+Yhnr4mNc9Xdfgm4ow+GQM2TygVDbJIZCoaV+xk1AJThaosrn8zg+PkY+n0er1cJkMuH9l+fPnyOTybARPQ1DlEolJJNJ1rtvNpu8lEe6OlTvV0sl05/R5ny9Xv/se6blOdp1kAxfALC8kUvTJZSVjUYjlvNdLBbodDos8kXTID+6oWswGPhUQRmb1+tFOBxGuVxGo9HgbI6yVZ1OB5fLBa/X+5kNH33P13FdWcNkMuH9+/csbhUKhXj08bqvfyhcfG2oNFGv19FutwGAzTZomY/GM9WG6er3xdcGm2993ej92Wg0MBqNeNu42+0uWVDS3gKVN74XmoGv1+sYDodcXiR9JNIqIsN3GsWlqSgamV1fX8f29jZ0Oh3q9To37ynR8fv9l8oizOdzdLtdVCoV9Ho9ngaLRqOIRqOc+DidTtHDFy5Ho9GwpC8p9pnNZuzv76NcLvOav6IoAIB4PM5H/R+N2riFtGSSySQqlQoKhQKXoer1OprNJjqdDptA0DjgTUG9DKrZ03TQYzbr6HQ6yOfzePfuHXK5HGq1GrRaLbtlxeNxxGKxpYB2G0ynU35ue3t72Nvb4/Fip9MJi8WCJ0+e8HvnprZNNRoNL/6RHy9teYdCIQSDQR5JDYVC7EJlsVj4tbFYLFhfXwcA+Hw+HBwcoNPpYDQasWaS3W6/dGhCp9PxaG+5XGYLSvK4jsfjPJBxVzzeq+ERodFo2CPXbrezDs1wOGQ9FK1WC5PJhOl0ilgsxsfGH13aoRosbZCGw2E0Gg0Eg0EsFgs0Gg1Uq1XUajVYLBYEg0FEo1F4vd4r9eXpJEOLVFS2uQ71CYj+D7Kfe0zQqF+73cbR0RH++OMP7O3tcYM3Fovh+fPnePXqFYLB4Gd6+dR3UAvbAeBS4EVPVuDTaY5KF9dBm6StVosnYWh7+ODgAOPxGH6/H8FgEIqiYDgccjPzJjL80WjEU0/VahWlUgn9fh8ej4c3jxOJxFI/4+IpU6fTwe/383a7xWJBLpfj177T6aDb7bKUuRqanKLdi0AggHg8jlAohHg8jmAw+Nmi120jAf8BYTQaOTOmZqHJZEK5XEa5XMYvv/wCRVFYkCsWi93q+CaNi9KM93Q6hdlsRqPRgF6v51PAVTciOhKTU9B8PofRaITD4bj0AlNzcernpqaA7gu0+1Cr1Xj34eTkhM3MQ6EQwuEw0uk0njx5gkgkwpNexHw+R6/XQ6vVYmG7Xq8Hg8EAq9XKDXWaM6clJr/fD7/fz56tV72uWq2Wa+h0MvX7/QiHw6hWq6jX6zyvTjcdurncRMCnLepwOMwjktPplCU21OWb6zAajUuSCx6PhxVsycDoqpuf1WrlZb7ZbAabzQa3280SKnctNy0B/4Gh1+vhdruRyWQ4Y97f3+dj/WQy4VE04JOsgcViubURsMViAYPBAJfLhadPnyIWi2E0GnGTkBaW9Ho9Bw6q8bdaLZaQpfKP2+1GNBqFwWC4NuA/VtQWemTX+PHjR3axMplMWFtbQyqVwtbWFtbX17mPc9n/RTPjJAdQLpdhNpvh9XphsVhYJpiyVIfDgXQ6jclkArvd/tm+wWXQiS8cDnNQpxFQ2oy+Sm7gezAajfB6vdwjePLkCZcQqZREN7XrmsT0/ZG0NPWBaGeDSpkX0Wg0cLlcfNKmG5laa+dis/y2kYD/wNDr9UuLG/RG6vf7ODs7Y4s29aZnMBiEy+W6FclbdZnHYrHA7XYvjRmSJCw9P/VyDG1E5nI5dLtdGAwGrK2twWAwwOfz3UsdoR8JTbqQ/v7p6SmOj49RKBSgKAoMBgM3Pzc3N5FMJhEIBDiYXfxZq38/HA5RLBZxeHjIqpwWiwW9Xo+3lUnsjoTmaALlqoBPJTiz2czeriQV7HA4OOOmf3vTUFmK5t0pUFNPi24yX7oG1GO4l2XkV/0f6kGLr/2a20YC/gOE3lhkhkzN3EgkgpOTE9boptFN8mW9Ldlb9QKMOpO6uC1Ka+okN7uzs4Pj42OWL3C5XBgOh+z3umrM53O0222cn5/j3bt3+O2335DNZvkGmEqlkMlkkE6nEQ6H4fV6ry2N0DSTzWZjL9ZisQiDwYDZbAaTyYRGo4FmswmLxYJIJML1ewC8F3BdwKdfKWjSzZ8C6I9Gvcn6vSfCvxKk70tgvwoJ+A8Yo9EIl8sFi8WCQCDAs8Rv375lgw8aJyOJAbJWuwsuLiCpyxW0Sby/v4+joyOMRiOEw2F4PB5e2FklaCrk7OwMBwcHePfuHfb29tDpdLCxsYGNjQ28fv0aW1tb3Bf5UkBVj9DSiY+2oZvNJjQaDcrlMjqdDsLhME9fmUwmTCYTDAaDazNzdZNdq9VyI/2yzer7HhgfKxLwHzg6nY4FuegiMxgMODk5QTabRbVaxe7uLqbTKRqNBjKZDKLR6J2PK1L2bzQa4fP5kEwmUa/XUS6XcXh4iG63y5uRX9o4fWwMBgNeGDo4OGDfY4fDwZaIr169QiaTQTgc/qYxPzL0oAa63+9nhyeSgaYmMOk5kRjdlwI01awdDgdcLheX7IDlAK8urUjgv10k4D8CKHuyWq1svB2NRuFwOHB4eIh6vY6dnR0WeJrP5/D5fFzbvCshJ7pZqSdKGo0GB3y1D+ljDgpqkbXxeIxisYjd3V18+PABuVwO1WoVJpMJ29vbePr0KcslkJPStzQCqcfidDoRj8eRTCbZ8pGatTabjeWZycN1NBqx4NxVXGxSkt4QDRJQA5f8ZtWjtMLtIAH/EUBZEtX1aXORLtJischNOo1Gg+FwyAHD7XbzOv5tQ0d/uvGEQiG4XC4OFquQ1dPmNI2jNhoN5HI51mCZzWa8wfzs2TNsbW0hGAx+lwOaTqfjKZr19XU+WY3HY+j1eni9Xt4OJSmBXq/H5cHrvhe6iVMZiOShB4MBB34yXO92u7xIeBe6MquIBPxHBAV+2iwkjf2DgwMcHx+jWq3izz//xMHBAdLpNF68eIFkMsmjZncJlXdW7cKfzWZsjH58fIzDw0Pk83n2M6alHdJxCQQCsNls3/XzIvG7cDiMeDyOfD6Po6Mj6HQ6uN1uNo/Z3NxEOp2GwWDg0tqXlD+pVEe+xjQGqigK71Z0Oh3UajXegqVxyVX6ud8VEvAfIbT0YjabeeOWRjQLhQKPPZIHJ5UUqKxyVxfeTcom32fUsr0kLHZ8fIz9/X02sLfb7QiFQtjc3MRPP/2ERCLB+xTf+/Oh06DX6+XtT5r2CgQC2NraQiaTYWkGml3/WiaTCTfaSdfJbrcjEAgAAGvFX1zAuusZ9fsIbY3T5jjN91OZk65dutGSoBtp+l9EAv4jhWq1DocDiUSCm7kajYa168khqlwuL0ktX+bNeheom3qPKfubz+doNpsoFAo4OjrC0dERzs/P0W63MZ/PEYlEEI/Hsbm5yfrq5IZ2E1DAt1gsXE4BwGU1coEikbtvhfoKZBoOAH6/n+UfSDkyHA6z1MBj+vneJCSSR3IVlUoFo9EIZrMZBoOBEweNRsN7Lz6fj0+CF5GAvwLQtqTT6UQoFMLJyQmOjo5QLpdxcnKCRqOBRqPBOvaRSISFyG6rYUoa5up1e9J7Ueu+PMTAoNanmc/nPG65v7+PnZ0dnJ2d8b5BOp3mJapoNMp6LjcFvc79fh/tdputHs1mM3w+H8tZ06jnX33NTSYTfD4fK1VSDZ/+jgxfKHDd1eDAfYe2o+v1Og4ODrC7uwtFUbgMNh6PMRgMYDQaEQqFkEgksFgs4HQ6JeCvKiaTCR6Phxe0SCbXYDCgVqthNBqhUChAr9djMplAURQ2LKF68Y8a46QSDknoks0fTawMBgP2Hx0Oh2xo8lCCAzVl+/0+ut0uWq0WG4tns1k0Gg12OVtfX0cmk8HW1hbW1ta4AX9TN7nZbIZerwdFUXjBqlKpsJy0Xq/H1tYWYrEYi9v91deZJqzMZjPcbvdSqe4yeYWH8vO8bdQJ12AwYC0lgq4VculSl3cuQwL+CqDRaLiOSrVaqhGfn58jm82iVqvhw4cPKJVK7NqzsbHBpiU/KgOjoz85NpH3qFoVstVqQVEU9mR9SGOak8kEnU4HlUoF2WwWp6enKBaLbF5jNpsRj8cRjUaxtrbG7lROp/PGpTCm0ynq9TobglSrVbTbbWg0GmxubiIQCODly5cIh8P8Xvmr0PO+qyW/x4JWq2WVXDJBoqW8Xq+HxWKxtEwXDAavVKIFJOCvFLTibjab4fF4EIlEEIlEYLFYMJlMkM/n2RKOjJcnkwmv7Vut1iubQd/DeDxGv9/HaDTiRazBYMBOXyS7SzeCu5SX/RLqmXq1xV4+n8fHjx+5hKbVauFyuVjOOJVKsfXdj7qpUT240WigUqmgUqkAADweD2KxGOu1f292L9wcVJsngyGyVOx2u6hWq9BqtXC73Sy3EY1G4fP5rvQYkIC/YpDWCG3nUiPXaDTC6XTyaj0F/2w2i0QigVgshlgsxlaKNxUM1M8nGo3ip59+gsPhQLPZhF6vRzgcRiqVQiAQ4Lnz+xyISIK4Xq/j/PwchUIB5+fnKBaL7ALmdrvh9/sRi8V49DESifxwYwytVgubzYZQKATgU6DX6/UcKCg7vClDEuFmoDFat9u9pJk0Ho+h0Xzy8DWZTOwmd12DXwL+CkPbuclkEj6fD/F4HKenp0ulh0qlwmYWjUYDqVSK9b5pwuN71uNJ0IuyknA4jNevX/ObWX2cJQer+xTwqTZNGX2n00G1WsXZ2RlP35DuvN1uRzwe54+1tTX4/X4un/zo3oTBYODpjWQyifF4zIqQNLFzn09PqwqN8VIDncqy9J6Zz+cYj8fsbz2ZTK68TiTgrzAUbE0mExs7mEwmWCwW3n7tdrsYDocolUoYj8eo1+uIRCIIhULw+XxLjd2/mn1Thk+lJvXM98UG330K9jQSRxMvVL4plUooFouo1+tsMBIIBBAKhdh1iWr1Vqv11hqXVA+mvQx1E/W+vbbCJ2igQVEUVKtV5PN51Ot1TKdTGAwGHn1tNBooFArI5/PQ6XRc+rmIBPwVhy5ycqRaLBaw2+0IBoPIZDIolUool8uo1+vY39/H+/fv4fP5kMlksLGxgXg8jkgkwqqKf3Wa56HN25PKJ5m25HI55PN55HI5lEolzGYzuN1uBINBDvaBQAB+v581ai4zcv/RSGB/WMxmM3Q6HZTLZRwcHPCmPDX86YaQz+fx4cMH9oy46rQmAV9gqLTidruxtraG0WiEfD6P3d1dzGYznugplUqYTCYYDocYDAYYDAYIBALsKkSBnyZ7HkOAoW1Hah7TeCNlXWdnZ8jn8zg/P0ez2YTb7cb6+jrLFCSTSba4u019eOFhQ3P43W4XzWYT9Xodo9GIr7Ver8eTVjTyG41GeeHtIhLwhSVoftpkMsFut/PWJM3tu1wu1kXP5/OoVCrY2dmBz+dDLBZDOBxeKvc8lprweDyGoiio1+u88VgqlVCtVtHpdLjGGgqFuLmdyWSQSqWQSCQQDofv+lsQHiAajYYtKNPpNHq9HjqdDtxuN2w2GwaDAcukkDaS1+u98qQtAV+4FpoTd7lc2NjYQK1WY9/tIrR0AAAJ0UlEQVTZYrGI8/NzNBoNWCwWNuZIJBKIx+OsfnmxuXufs36qbVMfgZaVGo0GisUiWzAWi0WUy2V0u11YrVasra1xbT4SifCIJTWcBeGvQKVWg8EAj8eDZ8+ecf1er9fzFjrwyUDdZrNd+56TgC9cC5mm2+12+P1+rK2toVwuw+FwwGQyLUkgkOojZcNUHnI6ndwspOYsrdT/yLLGt9xUaMpmNBpxmYo+SLa4VquhWq2i2Wyyx6vb7UYgEEAymUQikUAikcD6+jocDseS+5Mg/BUow6exy1gs9tk0FzXfv2a4QQK+cC1qrX1S4tPpdDAajbyRW6/X0Ww22aUqn8/j9PSUjTZoYcTv93Pjko6kX2PN91f5WtVNanyRplC9Xmf53kajsaQ5o9frYbfb2VTd7XbD4/HA5/PB4/HwHPRjKWUJ9wO1V+/3IAFf+GroDUcqnGtra9xQKpVKOD09xcnJCXK5HAqFAobDIWup+P1+hEIhKIqCTqfDAZNGOqnBS1mKWriNbgjXlYTUY4Zqv9yLYmwXPwc+yR9Qw4s+qGxFo5WLxQI2mw3hcBh+v39Jo54W2Ojjru0jhYcJ7XPQuO94PAbwaZiC5u4l4Au3DjV21d6obrebl6Q8Hg/8fj8URWGFxNFoxAH08PAQFotlqd5I6on05/R7mvihyRb6/LLnRDcGWkTp9XowmUxcpun3++y+1Ov10O/3l/6c/o4kJQDw9qLFYoHX60UkEmGLwfX1dXg8ntt74YVHzXQ65fJhNptFPp+HVqvl3hBNwn0PEvCFG8HhcGBjYwPBYBDb29tLqoxU8qHPSThMp9Px0pfb7b70g4K+eruQfqUPnU6HVqvFErzUQygWi1xm6nQ6LMKmKAp/TqWoxWIBo9EIq9XKQZ5KNPRcnE7n0s3pvvgGCI+D+XzOfbDff/8dv//+OwDg9evXePHiBW9G07LeXxl8kIAv3AhGo5E9dYH/vXlrtRqXSUqlEut4t1ot9kidTCbo9XoAwJl5s9lckmZWZ/gXf9Xr9chms8hms2i325jNZigUCtjb24PNZvssw+/3++j3+xgOh5hOp9yTcDqdvCwVCoUQDocRDAaXyk/SgBV+FFQypY/FYoFut8vbs91uF41GA36/Hy6XiwcnvqWEqFk8dj854c6gQN7pdDjDbrfbaLfb6Ha7rJBJxifT6fQzwxP6UI9Lqq0Qqd7farVwfHyMs7MzlvvNZDKw2WzcByDDdPUNhBrRVquVxyidTiccDgf/SrpB3yMXLAhfgko61WoVR0dH+PDhA/L5PPr9/pJAWjweZ1cyn8/HirJfw73M8EksiORw6VdAjBLuM+qfDan4UXPUZDLxBAvpf6hvBJ1Oh6dh6MbQ6XQwHA5ZEIrKNfQ5vSe0Wi3Py/f7fRgMBpydnaHf73NJiAK6y+VirXn6nPSAaEuYGq96vR7j8ZgVMLVa7dLkj+RKwk1CcW+xWPCi1XQ6xc7ODnK5HI8Cp1Ipnhqja4BOn186gd7LgD+dTlGr1VAqlVCpVFAsFtFqtTCbzeRI/YC4OFWjnriZzWZcYqHgTtk//b7T6XBdXv3xJUNtko6tVqs84WCz2Zaydgr06qOxegri4kkCkAAv/FjoGqFT7mAwQC6Xw9HREfL5PDqdDubzOWq1GtrtNiqVCra3t7G9vc27H2az+dps/14G/MlkwtMce3t72NnZQaFQwGQyEQedB4ZaCVL9OWUz6kBO2bs6i1ePUi4WC86yrwu+NN6mli0eDAZotVowGo3Q6/Xc+FUHevVzvBjkJdgLtwFdG/Tepbp9t9vFeDzGYrHA+fk5hsMhms0mer0eT8yp92Su4l4GfIIyQmrO0QUvPGwoeKoduNR/fvHzy35Pf0bH2MFgwNNAAODz+eD3+1kzHLi8HHjVtIN4rQq3jTrZoASHJtloTJhKOCTkR32sr53auZcBn+y6MpkMnE4nEokEl3TkAnxcXPXz/NqfMyUE1WoVb968wbt377BYLPD69Wv8/PPPsNvtXyzLSPYu3Acou5/NZuyzQNLb5XKZbUdtNhsSiQSePHmCly9fsoHR18ht38uATwL+NpuNpT6pmSE8Lq7Lrr/m31Nmk8/nMZvNUCqVsFgs8PLlS/zrX//iMdFvPT0Iwl1AsuPtdhu1Wg1nZ2cwGo2wWCxoNBoYjUbw+/3Y3t7G8+fPsbm5iY2NDbarfJABX6vVshOTIHwN5CpltVqxWCwQDAaRSqXgcDju+qkJwldDHgvlchmlUgn1eh1GoxFra2tYW1uD2WxGJBJBKpXCxsYGS5F/7cjwvQz4gvCtXCzbfKmxKwj3jdFohHq9jtPTU/zxxx948+YN+v0+otEo1tbWEI1GEY1GWcqEVGi/ZT9EAr7wKFBP9FAdlBpdgvAQUE+sUXPWYrEgFAohlUohmUyyfhOVb751alECviAIwj3AYDDA7XYjkUhAo9EgGAxCo9EgGo2yqQ55R4uWjiAIwgOGAr7FYoHb7UYqlYJGo4Hdbl+S9/ie0XQJ+IIgCPcArVbLbnAOh4PH0Gkp8CaQgC8IgnDP+FHWmLK2KgiCcI/4kQJ9EvAFQRDuERdVZ28SCfiCIAgrggR8QRCEFUECviAIwoogAV8QBGFFkIAvCIKwIkjAFwRBWBEk4AuCIKwIEvAFQRBWBAn4giAIK4IEfEEQhBVBAr4gCMKKIGqZwqNgsVhgPp+z2f18Pr/rpyQI9w4J+MKjgWwNyeJQPG0FYRkJ+MKjwGAwwO/3I5VKYbFYwOfzfbPfpyA8diTgC48Cm82Gp0+fspzskydPYDKZ7vhZCcL9QrOQc6/wCJhOp2i32+h0OgAAp9MJp9MpWb4gqJCALzwaFosF1+01Gs2Nm0cIwkNHAr4gCMKKIHP4giAIK4IEfEEQhBVBAr4gCMKKIAFfEARhRZCALwiCsCJIwBcEQVgRJOALgiCsCBLwBUEQVgQJ+IIgCCuCBHxBEIQVQQK+IAjCiiABXxAEYUWQgC8IgrAiSMAXBEFYESTgC4IgrAgS8AVBEFYECfiCIAgrggR8QRCEFUECviAIwoogAV8QBGFFkIAvCIKwIkjAFwRBWBEk4AuCIKwIEvAFQRBWBAn4giAIK4IEfEEQhBVBAr4gCMKKIAFfEARhRZCALwiCsCJIwBcEQVgRJOALgiCsCBLwBUEQVgQJ+IIgCCuCBHxBEIQVQQK+IAjCiiABXxAEYUWQgC8IgrAiSMAXBEFYESTgC4IgrAgS8AVBEFYECfiCIAgrggR8QRCEFUECviAIwoogAV8QBGFFkIAvCIKwIkjAFwRBWBEk4AuCIKwIEvAFQRBWBAn4giAIK4IEfEEQhBVBAr4gCMKKIAFfEARhRfh/3a04XnUYOU4AAAAASUVORK5CYII=)
- 14/9
- 14/3
- 7/3
- 7/9
The correct answer is: 14/9
Related Questions to study
maths-
The area bounded by the curve y=ln (x) and the lines y=0, y=ln(3) and x=0 is equal to:
![](data:image/png;base64,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)
The area bounded by the curve y=ln (x) and the lines y=0, y=ln(3) and x=0 is equal to:
![](data:image/png;base64,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)
maths-General
maths-
Let A=
The area (in square units) of the region A is:
![](data:image/png;base64,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)
Let A=
The area (in square units) of the region A is:
![](data:image/png;base64,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)
maths-General
maths-
The area (in sq units) of the region bounded by the curves
and
is
![](data:image/png;base64,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)
The area (in sq units) of the region bounded by the curves
and
is
![](data:image/png;base64,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)
maths-General
maths-
The area between the parabolas
4a(x+a) and
=-4a(x-a)in sQ units….
![](data:image/png;base64,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)
The area between the parabolas
4a(x+a) and
=-4a(x-a)in sQ units….
![](data:image/png;base64,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)
maths-General
maths-
The area of the region between the curve
4 and x = 0; x =1 is….
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPIAAADNCAYAAACCRC3cAAAgAElEQVR4nO296XMbSXa3+2Rl7VXYAZKSqKXVy/T0+94Yj1/bN67tcIT/dUc4Yj5ch2PsO+PuaUlUSxQJkthr3++HAiD1Oq1uSQTBemLQoEiOlKjKX+XJk2cRVVVVNDQ03GiU6x5AQ0PDr6cRckPDHtAIuaFhD2iE3NCwBzRCbmjYAxohNzTsAY2QGxr2gEbIDQ17QCPkhoY9oBFyQ8Me0Ai5oWEPaITc0LAHNEJuaNgDGiE3NOwBjZAbGvaARsgNDXuAet0DaPiwVFW1fQEoioIQ4ppH1fBraYR8y8jznCiKSNMUIQS2bWMYBorSGGc3mUbIt4woiri8vGQ6naLrOvfu3UPTtEbIN5xGyLeMIAh48eIFJycnOI6DZVl0u93rHlbDr6QR8i0jCAJevXrFn//8Z3q9Hg8fPqQoiuseVsOvpBHyLSOOY8bjMU+ePGE0GrFcLinL8rqH1fAraYR8y0jTlMViwcXFBVDvmRsh33waD8ctoyxLsiwjjmOSJGnM6j2hEfItQwiBEAJFUZoz5D2iEfItZCPmRsT7Q7NHbthZNtFnm/fm4fPjNEJu2EmqqqIoiu1eXlEULMtC1/UmeOUHaITcsLOkafqtKLSjoyN6vR66rl/30HaORsgNO0lVVcRxzOnpKU+ePMF1XTRNw3XdRsg/QGOjNOwkVVURRREvX77kv/7rv/jyyy+ZTCZkWXbdQ9tJGiE37CxJknB+fs5XX33Fs2fPWCwW5Hl+3cPaSRrTumEnqaqKLMtYLBacnZ0B4Pt+E4X2IzQrcsPOUlUVSZIQhiFxHJPn+fYoquHbNEK+ZXz3FFYAu3w02wSv/DwaId8yFEVBEQIh2IZqSimve1g/ymaMjZh/mmaPvCfUFuf3zc7Nd4QQVFVFXhQUZUVVQbn+c5rmGEZVL88/ZbmKn/zj6+83gvvgNEK+0VSUVUVRVBRFSVGWFGVFWb4usFdR7zVVVSNNU+arkDBOyfOSOMmZrULOJ0tWUQFCUFZlbaYJsV65BQhQWCdbrG1xIdj+fLu6C4GUCqqioEgFKRREY/N9EBoh32hqYcVZjh8lBFFKGKckaU5eFOR5SVbW74rUiKKIvzwdcz5Z4kcJ1cLnj385JbO+QtPNreilIlBViSYlqqogFYkmBaqUqKqsxSoVNFVZf09BU1UsXcWxdFzLwLQMVO26r8/toRHyDaaqKsI4Y+mFzFYh81XIwosIooQky0mzgnT9XqIQhhEvT8aMJyuCKCWpAv709Jxp8YRK0SnLkqqq0DQFQ9MwdA1dlWi6iqFKdE3F0CS6rqKrEl2XGKqGrktMXadl63TbNoOOQ6eswDYw9GaKfQiaq7zDVBVkxWsxpmm+/jonyXKSNCeIMoIoJlivyFFS/7xYJx0UeW1uV4pCXpRUVUlV1Z5qVSqYuoZrGyiqWf+bZYkiBZqUSClRpYJcO5vKsiTLoaL+u9NcIVKy9e8lLDzJZBlwfrXCtXUc28AytPUDQEXX1++axFg/DJoEiHdDI+Qdo6reyPxJC4I4xY9iPD/GC2O8IMEL6q+DKCXJcihBUURt7moqmqZiSYFU6j2sVBQMwyDPM/R8xsWJw7mp0+86/O6zY37/95/juC2kolCWJWVVUa7321VV77nLqqIqy+3+u2T9/bIkLyryoiKIU+ZeQJ5XKAKkqmDoGq5l0HZMWo5ByzZpOSZt18S1DAxdQ1Nl/bBQftyB1vDTNELeAYqyJC/Kek9bFGRZTpzkhHGKHyZ4UYznJ2shx3hhLeYwySjLEkNTsU0dXTOxTA3b1DE0FU2TaKqCpkpcx6HMM9JVh27LwtRUOq7F4+Mhv//8Pt1OB02T5HlZe7KznCwvyIuSLC/qr9fv2fp3srz+WZJmxGlOEKXESUYYJSR5TllWqFJiWzodpxbwRsxt38K1DWxLxzK09Uqtoqm16V6WFVCtHWnXfYd2n0bIO0BZVgRhwtKPmS19Zqt6z+uHCUma13vXzS9XoGuSQddhKASaKrFNHdvUcSwDx9QwDA1dVVHV2imlqgq2aVIWBfPLNm3brAWjqXRbFgf9Ft1OayuYoqjIinwr6ryo34uiWv/5jfesIM1r0UdxRhCnBGFMlNTizvNyfTYm1g65hLHwqMratHdsnY5r02tZDLoOg65Lr+MCFVJ5bdY3/DSNkK+ZitphNVkEnF8teTGecXoxZzxd4YcpQoBjGXRbFt2WRce16Kzf265Jyza3K1rtUa5NaUUor4+G1mY3VcWrto1lakipoCj1g0BT5bdWPSkFUmpUWrU19cvq9de1aQ3VG0dd9TFYfQSW5QVhnBHECX6QsPIjFn7E0otYBTELL2S6DInTDEvXGPZcjgYt7t/pk+UFipSYKhRlE475c2mE/IEpypIkzYmTjCjO8KOE2TLgau4zWQbM5j5+mCAA29IxdZVuy6bfqb3B/fVr0LbptCxajol8C4eRoauo8g3hVrUJ+0NsHgQg+CWxX2GS4Qcx81XAdBkyWwbMliGGVju5vDCGErKsYL4KqYA4yZn7MY4hmV5MmcwD0qyoz6gVBSkb59gP0Qj5A5LlBX6YMFsFtXhnPtNlyMILiZM6z1ZTJQ/v9HFsY72HrD2/lq5hmRqWoWGaOpauYeoq4i3dQ7VuXwv3O398d1SgSQXH0pGKwLEMRl2XMMmIk/VeOskIwgQ/TAni2ut+cjblYuZjaoLFZMzp5Xx7bTarfsP3aYT8nqgq1p7ftbOoKAmjlIUXcjX369fMY7YKieIUKRVadm1CHw3a3Bl16HcdHMtAKmIbI60o65dQUJS1I6jegv7McVU/GYX5rqjWe1xT19A1iWsblGX12hNeVWR5wWIVcTFbcTFZ8epqycyLiNMQURUsrpYsvIgsL0jzAj+szXK3k6FKpfaMKwKhKLfe290I+T0hBORFiRfGzFchk0XAZOGz8EKCcBN9VWIZGt2WRcsx6LoWvbbLsOsw7Lm0XRNDu5m36Ntm+Y+bw8Za6Lah4zomcy/CjzN8LyBaaqhSoQKWfsjJqwmHz8bkisOgY+NaGoauojXWdiPk90VZVkRxymQe8GI848nLK15ezAnCBFUquLbJqOtyZ9TmzrBdC9exMHQNQ5cYej2J9x3X0tFVhW7L5vioS5IVzFYxr8YTqnhB27WQimC2DPnqm0uMwUsyxebjewPuDFu0hYkqG892I+R3TF4UxEnOwos4v1pyejlnPFkxvloRrk3otmtx0HM5Pujx4KjH3YMug65zKx05Qoj1w0sD6uiyYa/E0iBaXTFoO2hSUhQlUZwxX4V8czYlSTLmq4A7wzajXou2a2Le4nDQ2/vJ3wNZXrD0I67mPi8v5nxzNuVq7lMUFa5jcPewQ69l02vbr4+SHBPHMlCU272ivImhKfTaNqOeS8upz7wt0+Rw0Oag16IoK56eXjGeLJjd6XP/KObeQZeDnotp3M5MjUbIv4JN2ZmirMiyHC9MuJx7vLpY8M35jFeXC6I4o+2YjPouH90bcNRv023Z2Ka+zix6faTyFj6rvUZQn513XAvL1FDVOnDkaNDm7kGHuDKZL318P0QKsT7jrhBAt2WhaRJVrsM+b8kFbYT8axD1XjiMU65mHuPpiouZx8VkxcKL0FWV7qheWe4f9Tg+7DLouDimjqbtblWOXWATeSZlHS9uGhrDrsP9oz6V6qBKmC48sqJgPFmSpBlLP+LOsMOw59Jr2ViGdmv2zo2QfwVVCXlesljVHtUnpxMm8wAviDANjfuHPT66N+Rw0GLUd2k7JoamNWb0z2BT2mdzxm3qKv2Ow4OjHt1+fU2fnV5yOl4wWfhczjxOL+Y8vNvnsweH6weBRFFuxwOzEfIvIM8L4jRnFdRHS68u5pycTbmcemR5gW3p3Bl2+PThAR8fj+h1bByz6Y7wNmwrnKyVrCgCy9DotW0OBy16bRtDq0NRKyqu5h4LL0Kcz5FCkuUFd4Yd+m0Hx9a3Z/H7SiPktyQrCpZ+zHThc3ox5/nZjMncpyhLXLve14169bHSwaB9o8+Cd403fQiGJjnotagq6LZNzq+WXE49/CjlxcWc6SrgfLLi0Z0Bdw7atG0D2zT29mSgmWE/k6qsKKoKP0gYT1e8HM94/mrKs9MpcZpxOGhx0Hc5Puzx4KjPsOega1q9EgjROLJ+JduEjTe+13ZMDEOl164TSlzT4Pn5jKuFz2Tus1xFJGlOWuT1WT0Ktqkj5f7diUbIP4NN9ckozbmYeTx9ecXJqymTuU+S5bRsk6NBm+PDXn0M0ndxbfO6h733aJqsX3Jd4hexroxSMk7r8Nc4ywiTlCwrthlhjqXvnTe7EfLPoCyrek/sR5yO5/zPyZiTV1OooNu2eHQ84LOHBzy6N2DQcbCb/fAHxdA1em0Fc11WSFAfST17NeXlxZzJIkAIgW3qmLqGYahoe2ZiN0L+KxRlSRCnXEw9Tscz/vLNBZdTj7woGHQcPr4/5IvHd3h0t8eo664jlBo+NLom0TULqSgURYVQBHGas/QjPD/m1cUC19IRCBSp0G9bdeH76x74O6IR8k9QlhVBlHI193h6esX/PDnnbLpE1yWfDg44Pujw0b0RD+706Lo2qtpczuvGNDQO+i5inRnlWDqX0xVJmvPk5RV5XtaFE8QA29TWR1Q3f3VuZt4PUFFRlRDFGZO5z+nFgm/Opjw/n5EXBY+PR3z26ID7B13ujLq0XfN7VTYargdFCDqutQ7r1Oi1LZ6+nPD8bMZ8GaJQm9iaKhl2XTquiaGrN17MjZC/wybcL80KpsuAb85nfHM2ZboIUFWFfsfmwVHtmT4atOm1bfQmSmtnUBSBoatIRUFVJboqKYpqW/ssTnJOziaUZclH94YI0aWjWBjaze4t1Qj5O1QV60JyKePpkq+eX/DifEZVVRz0Wzw+HvLJ/RF3Rx06rtWIeEdRVQVH1imSUPs6pBS8OJ/z9OWE6SKgpC6ntKmx3Qh5j8iygrkXcjHxeHo6YTyp0w9HPZeP74/47UdHHA7qtDldbUS8yyjrFMlRr0VelEhFIUlzLqaress0ntNxzG1N8Jt8ZNgI+Q1qD3W8PWJ6MZ5TUXFn1OHBYY/H9wYcDdo4toG2w61IG76Nrkl6bYeirIiSlDjJuZx5+GHK05dXlGWFqavYho4iFW5iHloj5DVlWRFGKbNlyOnlgicvJ/hhzPFBlwd3Bzw8qoM9Wo65DvO7WTf6diOwTY1Bx6EohkhFcvJqwsXU42LmoUql7lflWnV66bpU8E2iEfKaOM2ZLQMuph6zZUiSZpi6xqjf4viwx9Gw2RPfVIRgW8h/2HURQlAUJUlWcLXw8MKE88kS1zVqT7ZjYeg3y4vdCHlNFKecT1ecXi7wghhDUxl0HY4P6zzifttugj1uOJoqaTkmuiapyoogTrZN8V5dLpCqApXA0vUb10XyZo32HVMBrJuUzb2QV5cLzq8W5HnJ0aDFw7uDdTEAB+uWlpDZJ+qVWUFTDQ6HLbywT5aXnE+WXM7qFFTL0Om1bEyj7kN1U7jVQi6KkjwvCKKEi+mK88mKuRfRa9k8uDPgkwcjBl23Maf3EMfSORy2SfOCKMl4dbEgjJYMui5H/TamodLe+kN2n1st5DwvWAUxFzOPs8slKz+iLCvarsnxnbq6paFpb93NoWH3kUpd4C8vSmbLAF1T1z2pAi6mK4x1L2fbuhkJMLdeyNNlwIuzGRfTFVVV0XbMdX8lG9cybnSQQMOPI4TA0jU6jsmg43DQd8nynCjOGM88DEOrvdg3RMg3w254T6R5weXM4+uXl4ynKwxd486ozdGgTcs2GxHvOYpSF/UbdB0e3RtwZ9ShLCvOrhacXS3wwuS6h/izuZVCrqqKKKmrLl7OPM6vlkRJSrdlcf+wx+Gg1Ti3bgmqVOi2bR7fH/Lo3gDTVFn5MVdzn+nSXzeTr9aN13eXW2lax2nOZO4zntRnxmle4Fg6o57L3VFdsE1v6mzdCqSi4NoGUumSJDmLVYgXxARRytnVkk7LYtipm+np2u7GY9/K2bq5SacXc4IoxjZ1DvstRj2XftvGsXSUHb1hDe8WIcBQVTRHMuq3GHVdFl5d6+vscoGmSoq7BfcOejt9enFLhZzUheTnHkma03FMDvptui1rm6vacDvYdI1UELRsk27boePWnTOv5j4IaNkGo36LqjJ2Nuf8Vu6Rw6juDHE588jLkkHX4e6wdnCpjYhvLaam0mvbDLoOhq5u89EnC580y697eD/JrRHyxlWRFwV+lLD0Q/wwQVNVDgdtjoYdnOa46VYjpULHNRn1XFzbIMlypouAuRcSJxlZUVz3EH+UWyHkqqqjuOK1p3rp13sgqQjajsmdYZuDQQvb0m9c1kvDu0OVCm3HYtRrrcNyVYqiJIwzVkFMECUURXndw/xBbs0eOc8LvDDhar5i6UUIIWg5JsOOy6Dr0nIMmtTE242iiLrOV8ui37EZdFzyvK5pvvAi2k6EqWk7GSRyK1ZkqMiLkpVfh2Mu/RhVlXScukexaxsooi5y3nirbzeqVOo4a9tk0HVpuxZVBUs/ZuFFREl23UP8QW6JkNc9m9YlfLwgxtQ1eh27LtnTnBk3vIEqJbalc9BrMew4KMDSj5ivQsJGyNdHVdXtT+dexHiyxAvjbZvOtmui3pAMl4YPgxACy1jHFnRdhKKw9CJmq4AoSa97eD/IrZjBQkBelCy8kFeXS1Z+vSIPOg5t12qE3PAtFEWsg4TajPouCjBb1ZlRcbMiXx95UZJs+hl7IXGaYZoavZZNyzYaITd8CyHqjhWDnkO/66BKSRin69DNhHztua52KPx672dwUZaEcYofJkRxSl6UaGrdXtO1dUxTu/FdBhreLYoQ6Jqk5Rh0HAvT1BBAmhX4YcLKj8nygqIsd0bMe+/lSbOCpRex9OrkCFPXaDu1p7oJx2z4YQRS1uUkXFunZRvYazEv/ZirubddteWOFOnbeyHHScbCj1gGMWVV0XIMui0bx9TRNRXZHDc1fIc3p4Rlari2gWsb5HmJHyZczX0MQ0PVJBXVTlSQ2Y3HyXskzXOCKCGMExQhaDsW3ZZdP02bvXHDX0GVEscyaNkWhq6SrFu1BmFCsUMhm3u/Im8cXWlWoEqFlmPiOmZjUjf8LIQQGIaKY+vkRUFRFIRxQpzWBQd2pSnF3i9JRVGSZjlZXqAoCrap4Zjaug3qDtyBhp1GCIGuqlhGPWfydex1kuWUZcWO+Lpui5ALsqw2g0xdwzQ01D3qVt/w/lAU0KSCoamoUiEvijoTKisodyh/Yq+FXFVQlNV2RRYCDF3F1FWkVHY2SbxhdxBCoKkKuiaRikJelMRpRprlVGUJO7Im77WQYb1HznPSPIdvCblRccNfRyBQVYmm1XMmz+tm6VmeU+7KITJ7LmQh6i6LaVaS5iWKUDANDdPQUVV5KwNBvusXqEvd7N5D7YfGdR1jVRQFTVMxdBUpJXlZV2BN83Lt59qNa7f3XuuygiwvyIsSRdR1jC1LR1PVW3n8tBHDm69dfKApioKiKFvhXtdYpVRqK27t7Nps1fK8BCEQO1KIYvfu4Dsmz3PStH5VVbVu4lVPkF2vVfw+qNbmYFVV21e5S16bNWVZfm9c1zPWCikE2rpnct2NIiVJc4q82Jk59EFX5M2NqMWVkuc5xfps7l2jq5Iky7m6vGQ+nbBY+thqzmphsLAESaBj6iqKUhtHu3E73h+6rpNlGdPplCAIyPOcJElYLBZcXl4ShiGKolx7kMNm1U3TlMlkQhAEFEVBmqYsl0suLy9RVZWyLN/7WBUhKMoSL0xYzj1WyxneYoYXJEwnDpcXLWQZo+tqfRT1lntmKSVSSjRNQ9d1pJTfskLehg8q5LIs8TyP6XTK+fk5l5eXzGYzwjCkKIp3ajZpqiTLC16O5zx7NcEPE161bc6fdBl2XTRVokmJENwqIb98+ZL/+Z//YT6fk+c5//7v/850OsUwjJ0ScpZlTCYTvvzySzzPQ1EU/vCHPzCfz+n3+x9MyGVVkSQ5qzDmcubx9PSKOMlIrwZMnx/QbVlomnwrIZdliaqq2LZNv9/n8PCQo6MjBoMBrusi5dsHK4nqbR8jv4I0Tbm8vOTZs2f86U9/4i9/+QvPnz9nsViQZdkv+gA/hqLUpvMqiFkFEVleYugqLdvA1OuMJ7lR8Q3jx57YP3UrpZQURYHv+1xdXTGfz9F1naOjI3q9HlLWATIfcDr8KPW2pySKIi4uLphOp+i6zuHhIb1eD9M0AT6YmV3kJWleEMYpyyAizwtajkmvZWPoGory81MaN1apruv0ej0ePXrEb37zG7744gs++ugjDg4O0LS3b1f0wZ1dbzotFEXZmhMbM+NdUa/u5Xpy1hdaKhJD1zENbXvhd9Bh+6O86aD6Lm/ueX+IzbX9ISfS5vrvkpCB7Zg2fHeevDlffuqz/1oUoYAiSLNiHZtAnSqxvpaqFPzcrXJVVQghtp/jzfvxazzyH1TIUkpc1+Xu3bsoisLBwQFffPEFURS9c9NaSoU8L3n26oq/fHNBEKXcO+jy2cNDhl1366S4SUL+MX6OADcr8suXL/nP//xPvvrqK1qtFv/wD//Ab3/7W0zT3Ckh53nOZDLhD3/4A3Ec0+l0+Lu/+zt+85vf0O/3qarqg2wDBHVQURAlnF4s+P+enLEKYh7fH/C/Ht9l0HXR3kLIUFsSUkocx6HX63FwcMDR0RGu6/5iDXxQISuKguM4aJpGv9/nk08+IU1TyrLcPqneFRvz7P/98zfIPz5j7oV8/uiI/+d3H/PwTv/GCbksS9I0JUkS8jz/1goshEDTtK3TRFXr2/rm9dyI9L//+7/xPI/xeMxoNOLv//7v+Zd/+Rdc172uj/aD5HnO8+fPmUwmnJycMBqN+P3vf88///M/c3BwQJIkxHG8ffDouv6tz/5Ox1IULFYhf342JtK/4nLu8X/974f8699/xv3DPppU3srH8uaqvLlnhmGg6/rNELIQAlVVtxv9D8E01jiZFKgLn6PjOzx89JgHh+0P8m+/a8bjMU+fPt16mdM0pSgKDMNgNBrx0UcfcXx8vN1D/hCe5zEYDDBNE8dxOD4+5rPPPvtF+7L3jaIoDAYDDMOg3W5zfHzM48ePcRyHV69esVqtSNMUKSV37tzh+PgYwzDey1imq4hlbjL4JiDXV9y9/4hPPvmU49FuzKW9DwiBCikFqqw9smEUk+ZufZZ83UN7C8Iw5Msvv+Tf/u3f+Prrr1ksFsRxTBzH2LbNJ598wj/+4z8ipeThw4c/KsyiKLYW0MY8LYpiJ4W8GSu8tkiWyyWTyYQ//vGP/PnPf8bzPDRN43e/+x2O43Dv3r13Po4krwjjlDTNUQQYmkRVxDrWejfYayFXVQVlgaoIpIA8y/GDEM+PsAwd09jtMM2qqkiShCAIOD8/58mTJ5ycnHB2dkYcx1vPru/76LrOaDSi0+mgKAqj0QjHcb73+fI8/56Qsyz7yVX8OsjznDyvG6dVVUUQBIzHY549e0ae57x8+ZKTkxMuLi5QVZVOp8Pf/M3fvHMhl2VFFMUEYUyapiiiwtAUpFI/aPKi3InijXstZKidXrom0TVJVQniNCdOMnRNpap2u7hAWZasVitevHjBs2fPGI/HuK7L559/TrvdxnEcwjBkNpttJ/uXX36JqqpomoZlWTv9oPo5KIpCVVUsl0ueP3+Obdu02210Xcd1XSaTCXmek2XZe3HUVVVFlhekaU5RlqhqHa+va3Kn+oTdAiHXItZUWa9waU6c5jhFQVXtnjn5JkVRsFwuOTk54auvvmKxWDAYDDg6OtqeOUZRxNOnT3n58iUXFxc8efIE0zQ5Pj7m8PDwuj/Cr2YjZN/3uby83O6ZO50Ow+GQy8tLgiB4b8dPVVWR5wVpnlMUJaqUmHodOaiIXUmZuAVCVhUFXVPR1t3mayFn5GW589FcZVkShiFXV1dcXFygaRr37t3j008/5ZNPPuHw8JAkSTAMgzzPt9Fy5+fnhGG4E0dJv5Y3vdKtVovhcMjDhw8xTZM0TTk7OyNN31/3hxLI8pIky7dmtCrrOaWI3bF29lzI4rVpvVmRs7WQi3LnJ3q9GuREUUQcxziOw2g04uDggFartT1q6XQ62zPIOI6Jomh7RHXTKYoCIQSdTodPPvmE3//+93z++ecURcFiscB1XabT6XtbkcuyIisKsrSuY61JBVXW80lRdicycM+FDFKpay6p8vWKnKT103XXp/nGGbU5MxVCYNs2juMgpaQsy7oO2fp7m2SCfRExvA7DdByHo6MjHj16xGAwoKoq2u32NkYcfjpE9ZdSVXVb1SQvKIoKVUoMQ0VX1Z3K494d2+A9IMQ6MVx9vUeO04w4zeqG1TdgshdFsfVMJ0myFe8mpE9KiW3b2La9PUJ6n+GK18UmBmHzGTehpe+72EDt7KrrvhVliZQKpq6hrZ1du7JL3mshw9prrW+81hVRnBJFKXlR3Aghb9INoyjaCnnDZgJvooLU9SqxbyL+MT7EilhVFVlWkKy3Y6qqYJprr/UOrch7b1qral3hQdMkeVmSJBl+mJDlxc6b1lCbllmWbfO34fslbzZJ+JvXPq7I8H1L40N8xqqCNM0I45Qky5FSwTb0bdbTrrBDQ3k/aKrE0usLXxQlqyBhFcSk2W4VT3sbvjuZwzAkiiLSNH3nMeu3naKsiNL64Z+kOZqUuLaBZehIRWmcXR8KU1NpOyauVcfgblqrhnFdd2mXJ/5mX2iaJpZlIYTYhmVuMn+KoiAIgu1xk2mamKb5XpIHrpM3U183vFlRY5Pi+K5Js3zbgREqbFOj33FoOSbqDnUr2a+7/QMYukanZdEN4m2f24UXEUR12w/b1HbqhrxJ3a7EoNfr0e/3URSF+XzO5eUltm2jqippmjKfzwmCYJtV1u/3t2mJ+8ImIf9Na+TNbcS7rOdVVWybs4VRipI7TdQAABXaSURBVBcmBFGCZWi0bJODnkvHMVBVuTPOrr0XsqYqtF2TjmthaHX5nyBK8cOUMEpxrXWj8x2c9JvjptFoxNHREWmacnV1heM4GIaxjbUej8esVitM0+To6IjDw8PtCn7T2XyGTdJEEARkWUaSJHieRxzHZFlGFEWsVit830dV1e8l7b8NFRVFUW67L/phSpzmtZBdi0HXxTLUuormjlzivReyEAJTU7FNHccysA0dAURxysqPcC0DQ3+31UneFVJK2u02jx8/Jssynj59ysnJCa9eveLk5ITBYLAth1MUxTbV79NPP90mT9x0Np8hCAJOT0/505/+xNnZGZPJhP/4j//gq6++YjweU1UVnU6HxWLBwcEBg8GAbreL67pvndlVret0eWHMfBWSpBmqVNYtVnUcS38fH/VXsfdChk3bD0nHtTjsu2R53fZjtgpxbZOWa+yskPv9PqqqYhgG0+mUP/7xj5ydnaHrOpZlbbOgHjx4wD/90z/xxRdf8Nlnn/2qahO7xJtJE19//TVxHJPnOScnJzx79mwbaz0ejzk7O+Orr77id7/7HV988QWPHz/GMIy3FnJZVoRJxuXcY7rwqcqKtmvSa9tYxu6JGG6JkKsKVKnQ69jcPeiy8CLiJGOyCOi0LA6KFu8nHf3XsTGtLcsC4MGDB/R6Pa6urojjmCRJyLIM27ZxXZejoyMePnzIcDi85pG/ezYRbr7vEwQB0+mULMvodDq02+1t4Mx0Ot2a3L80wq2q6vzj8XTF5cyjqir6bZtBx8EydjPR5lYIWQhQVUm3ZXM0bFOUdRbUbBUwCuoVepcRQtBqtfj000/513/9V37zm99sEwWKosA0Te7fv89nn31Gu70bFSveFWVZF1DcVDP57W9/i5SSTz/9lCAItvvfPM+3FUU2lVI6nc4v8t6XZUUYJ1xNfSYLH8vU6bgWvZaNbTZCvkbqTgGdlsXhoL0+S16QZDlLPyZJM8C67kH+JKZp8vHHH9Pv9wnD8Fse3E2YZq/X267e+8LGE91qtXj06BF/+7d/S6/X26648Lo+G9RRbq7r4jgOlmX9gv1x3WIojFOu5j6zVcg9U69PPto2ViPk60VVJS3H4KDf5nLm8WJcEkQp81XIwovot22kIn6Rl/NDIKVkMBgwGAyueygflM3DyjAM+v0+9+/ff6951ptz44UXMV36eGGMogi6rkW3bWHojZCvjdq0VnAUA1VRaLsWihBEcS3ky5lHt2Xj2jqmrqE2LVd3jjerTr4viqLEjxKmy4DpImDhR6R5ga6ptF2Ljmuha7spmZvv1vyZKKIuwOeYBm3HxDF1pFQI4oTzyZLzyZIgSvcyRnkfeLO+2PuiKEqWfsTlzGPhhZRViW3qtBwDx9axDH2nEiXeZDcfL+8TAY6l0+84eGFCWZVczX06jkXbqQNHdtN4anjfpHnB0ouYLALCJKNlW/WxU8epG/7tqIjhFq3Ib+KYBgd9l4O+iyoVZsuA8WSJF8RkWX4Tshsb3gNRkrHwQmargCwrGHQcHhz1GXZddE3dmSiuH+L2rcjUK/LRoEOWlwRxynS54GLmMVsGjHouqpQ7651seLdUVUVR1pUy56uQ6SJg6UUIITgatHl8b8BBz8XY0b3xht0e3XvCtnSORm1KKi5mK/KsZLoMuZx7DDpOXVFEkztRr7jh/VJUFVGSsvRjzidLruY+QZTQbdncO+jw8f0RbcdEV+VOnmZsuJVC1tbBIWlWMOy2aLsmfpwymQe8tOeoqsS2DNwdjKlteLdsHFzfnM94fj5lFcTb+XE4bDPquXXe8Y6z+yN8T6hSwTY1DvotHt4d0G9b6457S8ZTjzB+fyVWG3aHLCuYLUNOTiecjueUVcWo63I0bNNxrRshYrjFQoZ6ZR71XT6+P+Ro0CbLCy5nHpezFSs/Ii9KyqpqnF97Sr6O4JotA16M51zNPFQpORp1uDPs0LJ3MQL/h7mVpvUGTZX023VXyCCsAwGWXsTCC7mYrurKIraBqWs7vT9qeHvKssRb3/PpMmDlx5QVtByDo0GLg767s5lOP8StFrIqJY5Vl8tdriLOJ0viJCOIUl6MZxiayv3DHnpX3ak+Pw2/niwvmS58Xl0smC4CALotm4Nei4N+i27L2nYnuQncaiErikBBoEqdUc/l+KBLXhSsgpiX4wVlAZqUGLpW5yzfkP1Sw4+zOW5aeCGnlwtejGd4QUyvZXE46HDvoEOnZWEZ2k4HgHyXWy3kN2k5JncOuqRFQXo25exqSV6UdFwTy9CoKpeWazVHUjeYoipJkhw/TDkdzzm9WHA181EUwdGow+N7Qw77rToU84Y9tBshrzGN2oOdFwWLVcjL8Zzpwuf0clEnk69zml3bAHanVlPDz6MsK9KsYOFFXEw9Ts5mjKcr/Dhl2HW4e9Dl0b0+XddC29FijD9FI+Q1uibpuCZp5jLqtxh2HCaLgPkq4MVYBQGaJpGKgqapqPL9tippeHds2umugtoP8ux0wovxnDBOsQyNQdfhaNBm2K0juG7ifW2E/Aa6rtJxLR4c9Snykq9fXnE183jy8oooyeoGXppKp2UhFb1ZlW8IVQV+nHA583j6csIf/3LKyo84HLa5f9Tjo3sDDgetG+Wl/i6NkN9AIDANjTujNpahIZQ6Z3k8WXE+Wa6rbQqOD3uMei62qd/Ip/dtoqwqvLAOv/zmbMo35zMuZ14dQ9Br8cn9IQ+O+nTcm11ZpRHyGwhY5yzX7UDuH/VYeRECQRAnvDifkRUlWVEgBAw6Lo6pI5qjqZ1jU7InSlJeXS159vKKb85qD3W/7XA4aPHwTp/DQZtOq46lvsk0Qv4OdSUKBUPXOOy3SR8WGLrGyasJJ2cT/ChFkwq6qlKVIHouplknnDeL825QO7bydcCHz8nphJPTKRfTFYau8en9EY/vj7h32KXXsjG0mx/w0wj5OwhACAVNhY5jUYxKqCCMUy5nHl6YMJ6u0HWVLCvIi5Jhz8UyNTQpm8CRa6Yo61K2Kz/mcrbi5cWcb86mzFchFdBr2zy62+fxvSHdtoVtajfSS/1dGiH/CALQdUmvbUMFaZ6T5QUnZ1Nmy7pg32QW4EUpn5ZlbaI5N39C3HTKsmSxinh1OefL5xd8eTJm5Ud1WuKoy+P7Qz66N+RwUBcLkHvy4G2E/FfQNUmnZfGQPpahoeuS//rLGWdXS6I4IyvqFbss6wwU12kiwK6DuolbxXwV8vJiztOXV3z5/IKnpxMsXePx8ZDPHh3y+HjI4bCNadx8c/pNGiH/FYQQ6LpKt2WhqpIozVj5CUVZEic555MlQmyajRccDlp0W/ZemGs3hbIqieK6TM+L8wVPXl7y4ny+LhBgcTRs8+jegPtH9WmDtYenDY2QfwZ17ygV1xbcO+iSZQWWqfHqYsnZZMmrizlSEQgF8qJACEG3ZaMom6abjSPsfbBZhaMkZbIIOL2Y8/R0yunlnKUX4loGj4+HfHS3z8O7A4bd/RQxNEL+WSgCFFVBSkG/41AWVZ1wIQRpnrPyY/wwYTxZIYCqEiRpjmsbGJqKqkqkVHakk+5N53VyeJhkBGHMwosYT1ecjhdczb31g1Zn2HV5fDzk0b26gF7bNTE0uZcP1UbIb4EQAsvQGPZcVFXBMupWIuOrJXMv4nLuswpixlOPewddHt7p1wnqjmxE/CsRYp2tJl77H5ZexDfnU04vF4yvVsxXIUIRDLoOw47L3VGHe4ddhl0HU9fR9d2uu/VraIT8lihCrI8s3DpjatTh7HLBV99c8M35jPkq5Grus1iFZHkB1OZ2xzXXJVX3cyJ9CIqiJElzsrxk4ce8OJ/x9YsrTi/mLLwYRYG7ww6fHI94eHfAQb9FyzbQNInY8+1NI+RfgBACXVPR1g3UpSLIyxJVKlzOfKbLgCBKOXk1JUpSjvpt7ozaDLstWo6xs21Hdgkh6qSUzbl8lhd4Ycx4umKZKLy8XHA6nrJYRZRlSb9j02/b3D/s8ejugKNhh7ZjIm9J+59mRv1i6lpeQtRHTo/uDug4Jhczj7PLJefTFYtVyNILuZp6LP2IR/fyepVwTAxdQ66XCNFEhX2PsiwpynJbLy1Ocq7mAd+cTUlEyPNXE/wgqjts9tscDeuiAMOui2vXOeS36Zo2Qv7FCJQ6DAxL19BVFdvUMHUNTSqUVUWSZKyCmNkqRFUlKIIoztYN4wxMQ0PX6owqTW2iwt4kTjLCKCXLCoqiIoozJgufV5MluUhZehGKqLbbm4d3Btw76NCyzXovrdyuNNNGyO8AIQSqFLRsAwVRi9PQcEyd83Urmsu5z2QZ4Jg6vZbNoOtw0G8x6rcY3YBOBh+SCvDChPkqwI8S8rwuv/TqcoE1ntMb1EUg+h2L+0c97h10Oey36bbMG1fZ413RzJ53isC26pXWtc21YF1ejmc8O5twMfXI8wLHNBh2HRZeRJxmsC6561gailAQglu1mkB9JlxVddrhwk84n6w4n6xY+hFpnlOJeoVOs5xu2+bRnR73hh2GfYeua63L89yua/YmjZDfMUKAlApt10RKBVVKdE3W/ZlNg1UQURQVeVF3gczynMUqot+x6bgWrm3gOiZt28Q0tb0/tsqLAj9M8NavIEpZegmX0zkvxnNmq4C8LGlbBkfDNo/vDfnswQH3j7qMOg6OrTfWDI2Q3xtVBZqqbMuqDro2Hx+PmHt1wsXKj1n5EZczn4uph2VotFsWo67LwaDNnUGbXseuqzkq2/gw1v+rEWLnhV47qyrWb6+/BoqiYuGHXM08LmYe48mK2TIkyUrSJGa6DAijlKqCfsfh80dH/J8vHvDRoyMcS8PQJFIRVLDz1+F90wj5PSFEXQBfSgXL1Oi3bUa9rM6aWvhczTwUBYpFhRfEJGlOnOWkWUGaFWRpjhfG2JaOvv57VCnRVKX+WqlXeUXWQRK7NpGrsqKoKoqi9j5neZ3yWRQFWV5RlAXJuhjeZO4xmft1mmiQIKREFRWarGukKULgmAaHgzYPjvoc9J1t/regETE0Qn6vCCGQQrCpoGvoKrqmYhoqbceg33GYexHzRcAyiIiSDC+oV+qTVxMMXcUyNVq2QWvdiL21frUdo/Z8q/pbTeTvenPflxCEIqjykjjNCaKEVRCxDGJ8P2YV1H/2w4QkzSmKkqqqEEIw6Lp02w62rjBvVTz/U4dv9Drd0DTqc3utKUn8PRohf2Cs9ZFTr2Vz76Csm2uvQsbTFePJileXC84nS6bLkDTN0TSFjmsx6LqMOi79rsOg4zDoOiRZQdspMXUNVZX8HF9PWVZU321m9Q6VXMH26C2IUlZBzGIVMln6TBY+00XAdBFyNVvhRQmqUm8/hl2Xo1GH+0d97h30sXWFi7HCnw46GLpGRb3Kf2/sDUAj5GtBKgpSUdA1sE0d19IxDG0tcrX+2lzhhwllWaJrKnlesgpi0nUnjPFshW1o2JaBbWiYhoah1/vGjUmvSPHGv6VRlSXB2vNblbUgfkwWm44MdWBGnWX0+uu6uV1RVpRFSV6WFEVJmhUkWU6SZIRJShilhHFGlNSvME6IkgwhqnrLoGs4Zh27fthvcfegx/Fhj6NhB1WpKCIbx9KRUtSZTutXw/dphLwDKIqg7ZhoUqHbsnl4t48fxgRRShRnRGlOkuakaUac5syWAfFVTp4XKEpd+dMxdVzbpGUbWKaOrtXN2jVVrgvrW5RFzmTdyDsrSvK8JIwzvDBB1Sw0VSEvKvKiIFtXRMmLen+b5SV5nq//f0X9e3lBlhUkeT2+IErxghg/SIizOpijQqBpElPXMHRJyzbWDxy1Hrel1556y8CxDVzbxNRViiJb76nLZhX+GTRC3gFUKXFMBcvQ6LZs8qIkzXKiOMOPElZBzMqPWQYRKz9i5VdEcUqU1JM9jFOCKMWPU7zQwDJr811TJdraSeY4CUWecTFbsQqS+u9PMq7mPi/OFyyDEk2V5GWxFmpBntdC2og5Lwqy4vX38rW4k7wgzXLCOMMPYsI4oyjqhBFNU9F1WXvlXZOOa9J2LbquRcsxsUwdcx3ZJqWCotTBNVVZ2/v1VuA6787NoBHyDlBX7hRsaooYgG3pOFaB6xi0XZOgnRJGCUGcEoZp/R6nxGlWe7nzkrKqPcRBlBBEQFVvfytA1TSyNOXF6YSrhU8Yp0yWPv/99StS8ysMy0YIhaos1mOqD3XEG0dcYvOf9fc2x2GbIyZFQMc16bcddF1i6CqmoWObGq5pYFv6+nPVq7BlvPbI/9A1afj5NELeUQSsV1UF29TptWqRFmVJUdT71DQrCJN03dM5YunXnuEoTmtzOCvWZnFBgUIcxVzMfLxg7S1eRXz94pKVeA6qTlFWUFWoqrLea6tomkRXVXS5NtU1ia5KNE2pf65KNE3F0DRcS6PjWvRaNm3XwnVqsaqy3qcrSl1qWCp1kYamttm7oxHyjrOJ4/6xLpBlVeH5tZDnazGHUUqyPpPemL4VkjCMyFYuZ+scXV1X6bUtDgdtFK0WclVWaKqCvj4q09dmr7EWrL4W8mYPvvkdU9dwbZ1uy6K/FrJl3twWLDeNRsg3nIoKQ9fotgWWoTPoOuR5QVFWdRpgWXuXpaoRxzE9NWD6osfpU5Ner8U//K9H/J//+39j2Q4Vgqoq69JGioKqKChSqR8mikBZr6SKUJDrDCNFKqiKQMp6T26sHVtSVbZnww3vn0bIN5w626quC2YbOtU6T3rzDkAFilQo8oJg2qffttfOJ4uPjof8zW+OcVsthBBbD3G9FX4jcGS9Qd58S6y/KTY/E2JbhUMRYt1GpxHxh6IR8g1nU5RAQcBfq8CrSWxTR9dUFCHQ1LrPVbdlYzvmBxlvw/uh8TbcNt5cUTcZGM3CeeNphHzL2IRoVryuC10U5XUPq+FX0gi5oWEPaITc0LAHNEJuaNgDGiE3NOwBjZAbGvaARsgNDXtAI+SGhj2gEXJDwx7QCLmhYQ9ohHzLqKqKoqjTG/M8pyybqK59oBHyLaNuVapsX02a4X7QCPmWoWkanU6Hw8NDhsMhtm3f2sZn+0STxnjLcF2Xx48f4/s+3W6X4XCIlH8t/7Fh12mEfMvodrt8/vnndLtdTNPkzp07qGozDW46zR28Zbiuy4MHDzg4OEBRFFqtVrMi7wGNkG8ZqqriOA6maSKEQNO0xuG1BzRCvmUIIVBVdbsKN46u/aAR8i2jLobfmNL7RvM4bmjYAxohN+wsdU2xur9UURRNFNpP0Ai5YafZ1NluOjL+NI2QG3aSjVOu3W5zcHDQRKH9FRpnV8NOIoTAtm0ePXrE73//ewaDAaPRCE3TrntoO0kj5IadRAiB4zh8/vnn2LaNbdscHx9jGMZ1D20nEVWz+WjYQaqqIssyFosFQRCgqiqdTgfbtpuQ0h+gEXLDzlKWJVmWkef5NgpNVdUmEu0HaITcsLNsjp82U3STP90I+fs0Qm5o2AMaX35Dwx7w/wOftrTg7/g4ywAAAABJRU5ErkJggg==)
The area of the region between the curve
4 and x = 0; x =1 is….
![](data:image/png;base64,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)
maths-General
maths-
The area of the region bounded by y=|x-1| and y=1 in sq. units is
![](data:image/png;base64,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)
The area of the region bounded by y=|x-1| and y=1 in sq. units is
![](data:image/png;base64,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)
maths-General
maths-
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively
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)
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUgAAADkCAYAAAD6vb0SAAAgAElEQVR4nO2dV3MbeXb2H+ScIwkGjTSr3XG51rUX9pW//7VdZbt2RiOJATkDDaCBRnov9n2O/mihKe3MUALJ86vqIghSEAg0nj75+Pb7/R6KoijKZ/i/9xNQFEU5VVQgFUVRPFCBVBRF8UAFUlEUxQMVSEVRFA9UIBVFUTxQgVQURfFABVJRFMUDFUhFURQPVCAVRVE8UIFUFEXxQAVSURTFAxVIRVEUD1QgFUVRPFCBVBRF8UAFUlEUxQMVSEVRFA+C3/sJKM+b3W6H7XaLzWaD3W4Hn8+HQCCAYDCIQCDwvZ+eojyICqTyaOz3eziOg/l8jsVigdVqhUAggEQigWQyiVgsBp/P972fpqJ4ogKpPBoUyOl0in6/D8uyEA6HUSwWEQqFEIvFvvdTVJQHUYFUHo39fo/VaoXxeIxms4nhcIhoNAqfz4dsNov9fq8WpHLSqEAqjwYtyPF4jE6ng1arhUQigUQigVqtBl2oqZw6KpDKo7Hb7bBarTCZTNBqtXB3d4dUKoVCoYDlcqkCqZw8WuajPBq73Q6O42AymaDT6aBer6PVamE0GsFxHBVI5eRRC1J5NOhiz2YzDAYDtNttEUwVSOUpoAKpPCq73Q7r9Rq2bWM2myEajcJxHGy32+/91BTli6iLrTw6+/0eu93u4Ktaj8pTQAVSeXR8Ph/8fr8cPp9Py3uUJ4EKpKIoigcqkIqiKB6oQCqKonigAqkoiuKBCqSiKIoHKpCKoigeqEAqiqJ4oAKpKIrigQqkoiiKByqQiqIoHqhAKoqieKACqSiK4oEKpKIoigcqkIqiKB6oQCqKonigAqkoiuKBCqSiKIoHKpCKoigeqEAqiqJ4oAKpKIrigQqk8mhwOdexBV26uEt5CqhAKo9GIBBAIBA4EEpuOAwEAggGdS27ctroGfqEeWi3NH/m9Tvu+//ZPdUP/T5Xuy4WC9i2DcdxsN1usdvtsNvtsF6vYds25vM5kskk1uv1b96T7WWFuu93P77buvWycpWXjQrkE8MUvt1u99lX89jv9yJMXj93/4y33f+X+yuPY8+LVuJsNsPt7S2azSam0ykcx8FisUC328Wvv/6KQCCAVCoFx3EAHAqS+/ax5+D3+xEMBh/cu82v5t/t8/kQCoUQiUQQjUYRDAYPLF0+Du/j46hgvjxUIJ8Y/JBSyDabDTabDdbrNTabDRzHefD79Xp9cJtft9utfDWtPVNE3SJrCqX7dwFguVxiMBjg5uYG7XYb8/kcu90O7969g9/vxy+//IJoNIrdbveZuJm3j4kcAASDQUQiEYTDYYRCIYRCIXHdTcHkhWK1WmGz2cDv9yOZTCKfz6NQKCCZTCIcDiMYDCIYDCIUCiEYDCIcDiMQCMhzUV4eKpBPFFpVm80Gq9UKy+USq9VKjuVyKfeZP/O6z3EcOTabjYjksa+mgLp/Zlqt6/Uay+USs9kMs9kMtm1jtVrh/fv36Pf7iMViCIVCBxabedsUJ5/PJ4+53W4BAOFwGLFYDPF4HNFoVMSSgkmx3O/3cBwH8/kcq9UKwWAQ+Xwel5eXWK1WKBQKSCQSB1YlABFMFceXiwrkN+aYm/qlw7TOKD4UxtVqBcdxRPAcxzkqmKYQHvs5xZFW5THROyaO5nNyf08LdrVaYb1ey322bcPn82G1WokI0p11u8jH/r/9fo9AIIBoNIpkMolUKoVoNCoWH11mPhatx/l8jvV6jVAohPl8Dp/Ph0AggPV6fSCQ5kHL0i3gx6zch6xfv1/zoU8RFchvDK2+7Xb7oMt77GemgPErH8vrMH9uCl8gEEAkEhE31RRC05Xmcz52H4DPXG3z9x3HwWw2Q7/fR6/Xg2VZCIVCKJVKOD8/RzabRSgUkrglH8+0Pi3Lwmw2kzhlMBhENBpFLBZDIpFAOp1GOp1GJBLBfr8/CBfw9eLhOA72+z3C4TBmsxmGwyHC4TAWiwUikYgIpnmYYsvvw+HwgYDSJaebz4MWKA8VyaeHCuQ3hjExZnJt28ZisZDj2H3mQdeZH/Zjrumx2+7EQyQSObCyjrm0fL5uF9O0kvj9MQtquVyi0+ngl19+wd///nfsdjskEgm8efMGf/vb33B1dYVoNIrNZiPiTEt2Pp9jMBigXq+j0WhgvV7D5/MhlUohn88jl8shm80il8shl8uJVTiZTGBZFqbTKWzbxmQywWKxkDhnKBQCAMxmM3S7XSyXSxHHzWZzNFllvkaRSATJZFKEOZlMIpFIIB6Pi7sfj8eRSCREyPnaK08PFcg/kK8pneGHn2Uus9kM8/lcLCXLsuT7Y/fz3zmOA7/fL9YM3UNaNLzf/J4uqPlvzJid+Tumy+vOEHu5m25La7FY4ObmBqvVCp1OB6PRCMlkErVaDf/6r/+Kv/zlL0gkElgulyKOs9kMi8UCo9EIkUhERG65XCIQCCCbzeLs7AzFYhGFQgHZbBbZbBY+nw+j0QibzQbL5RIAxJ1fLBbw+XySsQ6HwwD+kUSi9cp/x5CA4ziwbVuSOsyYx2IxZLNZ5PN5FItFZDIZEUrzSKVSSCQSYsXudjsRYpOvjW+aVrbGRL8dKpC/AZ6sputpurBebi1jYbQSzWM+nx9YkaY1yewr/18WWNOiYYLCdPse+v7Y/aagmm7lMeuTYnHs5/xZMBgUIc/n84jFYvJ8M5kMzs7OcHV1hUQiAcuysF6vMZ/PAUCsRb/fL78PAJFIBKVSCRcXFygWi0in04jFYojFYthsNgAgQrvdbhEKhZBIJOQCkEgkkEwmEY/H5fkz+bNarQ7ip/P5HKPRSOKlfJ3W67VcmMLhMPx+v/x7vo/T6fTAoozFYvIemW67+6t5wQEgoQYzNMDEllmCpDweKpC/AfNKTnd5uVwedZNt28ZyuRShM+NidOncCZDtdotAIIB4PI5IJIJ0Oi2xQeCTQNMaZMzLjIdR6PjV/LkZI3Pf5y6TAXDUgjyWrOBXCuR2u5U4pymuoVBI3E9arEwcjcdj1Ot1tNttjMdjbDYbZDIZsdRKpRKq1Sqy2awkWBaLBWazGUajEYbDIcbjMdbrNZLJJLLZLCKRiIhjMplELBY7yE5vt1ssl0u5SPX7fTQaDXm/AoGA/Pt0Oi3PhaK/3W4l/DGZTI7GMAOBwMHfbYonD9OCZxJrOp1iMplgu90inU6jUqkgm81qF9I3Ql/l34FZX2dZFsbjMcbjMSaTiRzT6VROclpUwKe43TGhcrvH5v3hcBjRaFT+nRk7ND+Y7u+PHe5yGncmmQLpjjECh7FJ9++ZliRv8+f8yvvNeOx0OkWn08HHjx/RbDaxXq8RjUbFjS4UCiiVSigWi4jH41gul+j1ephOpxgMBuj3+xgMBphOpwiFQigWiyiXyygWi8hms0in00gkEgcCyaQZL26WZaHZbMLv90txeygUkprJbDaLVColQhsIBLDb7Q6qAMzDvOgFg0Ekk0kR/Gw2K7fpkjMb7/f7MZ/P0e120Wg0sNlsUK1WEQ6HRViVx0cF0gN3gbR5mCc942a0Xkaj0cFBwRyNRpjNZthsNmJhmSd7IpEQS4+BfrqDTALwNsta+CE/lixxf/81B/+N+fVrb/N7M1bm9boyy0wLbTweYzQaodvtotPpoN1uo9vtIhgMIpFIIJfLoVaroVQqIZfLIZlMwu/3S7xwPB5jMBhIrHK32yEajaJQKODVq1e4vLxEPp8XEaKrC+DgPeTFbLfbYTweo91uY7PZIBKJ4OzsDOVyGblc7kBkd7udxFBpSfJxLMsS0XQcB8FgUIQ+n89LsimXyyGTycjjRiIRAP9IJLVaLdzc3EjFQqFQQC6XE3F2X3yUPxYVSA9Yw2d2ovBkN+sNV6uVuHhMqDD5wg+O3+9HNBqVk5gWYTQaPRA+unG87T74e8lkEtFoVD7kXyNMX8Js5+P3vxd3PaBpLU4mEwwGA2y3WzQaDfR6PXS7XYxGI6zXa7l45PN5VCoVVCoVpFIphEIhed0HgwGGwyGGwyEsy8J+vxcXuFgs4uLiAhcXF1JS5L6w0Ppn5nq5XEr2mwkhdt3UajVUKhURp3A4LI8xn8/F6ttsNphOp5jP5xiPxwePHw6HD+pP+f9sNhvM53NJnNEqpbvfbDYBAPF4HIPBAPl8/iB+rPHIx0MF0gOetBQ8921mlReLxUE80Uzc0EXOZDIiErQceYJHo1EJ4JvxKfN78/d4uGNQf8QH5LE/ZBRIy7LQ6/Ukg/3+/Xu0Wi1MJhMRR4rR1dUVzs/PUSgU4Pf7Ydu2hDIGgwG63S76/T5WqxWSyaSU/7DW8uzsTNoJmeCgsDFzPZ1O0ev1cHt7i3q9jslkAsdxpIwon8/j/PxcLEgKGQBJLqXTaRFw27bR6XTk4srfZwY8k8kgmUwiFAphs9lgMplgPB4fbR+lRRqJRORvzuVyCAaDSKfT8Pl86m4/IiqQ/x/TetrtdvJBZNCfbiBvD4dDiSsCEIvHPEzLj+4yY0zH+of5lfcxsG8G/CmMv9di/B7QSptMJmi1WgCA+XyOd+/eodFoiCgVCgWJN1arVZRKJcRiMczncwyHQ9zf36PT6WA8HsvFKhwOI5PJ4IcffsDV1ZVkuRl3pIXHmKNt27AsC5PJBN1uFzc3N/j5559xc3OD9XotZTz5fB7lchmVSgWlUgmZTObAyqOIMS4JANPpVMQ4GAwil8shlUohlUohnU4jm80iHo/D5/PBtm1pxWQZF8uNgE9WeCqVwmw2w2AwQDKZlNIkJsuOlRCRp3aenBIvViDdrXtmS5vjOBIT6/f7R+OKFE7btiX4btbaMXaWz+elbi6TySAej4tAmqUmXvHAh75/KphlK6vVCpPJBJ1OR9zIbreL4XAIv98vrxdrHbPZLMLhsLiyo9FI4pQcfgEAsVgM+XweFxcXeP36NQqFglhu5kWFoZHpdIrRaITBYIB2u41Wq4V2u41Op4NgMIhSqYRCoYCrqytUKhWpu0wkEhLaoAXq9/ulksGdpQ4EApJYSqfTcvEMBoMS+2RRPIval8sl1us1gsGgxKhpfY/HY8TjcSkvAv5hxTImeSy5dqxUS/k6XqxAMjhvluGwS4XxRFqJLF62bRu73Q6hUAjJZBLBYBCbzQbhcBjpdFrcO/NgAD6Xy0lpiPmhfUnw4kOBZO1iKBRCoVBANBpFtVpFpVJBPp9HNBqV8inbtjEcDtFutzGdTkVAWGNYLBYlTsgCbjNTTmGkyzocDiXu2ev10O/3sd1uxdovlUo4OzsToeb7F4lExHKk9Tgej6WdcjgcwnEcJBIJVKtVRKNRXF5eolqtykUUwEHWm/WTq9UKAEQAzSQezzfbttHr9eA4jpyjPK/M4n93Xaop3BR45cu8vE8pPsXCZrPZZ+6zmQ1lMH2324kLTBfQLIiORqOSXaZrbbad8SRnTeBLaztzJ2ksy0K328V+v0c2m0W5XD5wPwuFAmKxGBzHwXA4FCvejPnydaYbXCqVUKlUxHJ0F1zTtWc5UKfTQavVQqfTwXQ6xX6/l7rJfD6P6+tr1Go1lMtlsfyYtebgi8lkgn6/j1arhXq9jmazCcuysN1ukUql5ILJRFE0GpVyJnb98BxjYTv/fyaUzLIshgd4jnY6HSn7clc+mLWu0WgUmUwG+XxewgPK1/GiBZKuDT8sPNEHg4EMdODUGFqBZu0aY1ws6DY7UdxdEma9IZ/DS3N13AMs/H4/UqkUKpUK3rx5g0KhIB9qJsk6nQ5+/fVXNJtNSXiwhrBSqeDq6gqXl5colUpSAUALyi2Qo9EI7XYbjUYDjUZDCtLZ7XN1dSVWIw+KNceymVn4Xq+HVquFDx8+4MOHD7i/v8d2u0U+n8fZ2Zlk3y8vL3F+fo5QKIR+v4/dbofJZCICyc6fcDiMYrGI169fo1qtSocQRZkW43Q6xXK5lC6tQCCAWCwmXkwmkzkoPE8mk1gulwiFQmIFK1/HsxbIYxNt6FpbliVXf9bfdbtdDAYDjMdj+P1+GYHFsVrZbBbFYlHiUSwc5hXb7BhRjkPLm1ldDq6tVqvI5XISy6OFxjKeyWQi5VKmC1yr1XB5eSniStfSrFelp0BBa7Va6PV6Bz3esVgMxWJRxIzvcSqVkvIdPq/RaIRerycXVpYnLRYLsdjo8pu1kwAkuUJhBCCin0wmcX5+juvra1xcXCAWi8mouMVigeFweFBDao5wYxx8MpmIJ8OLdjqdxmazQSwWk7/HPZxEOc6zFUheddkhYfY6M2s4nU4xHo+lfpEudDKZPDhpU6mUxBNpQbIzw12TqHwOS5/YPlkqlfD69WsRArp+TI4xnjcYDGREWrFYRCwWQ7lcRq1WQ7VaRbVaRbFYPHBHzRgf328mdugGDwYDOI4jrYPxeFx6wxlzNFsJmVhiwX+/35fYJV3/WCyGs7MzJBIJ1Go1Ecd4PI7VaoV2uy1DO9rtNobDIVarlYRewuEwstkszs/PcXV1hWq1ikgkInHK5XIpmfBisSihh36/L+VRrLvla8ZSskwmI+VTfJ3NHvGXGA//Wp7tK0N3iHGnbrcrluJgMJC2P7q64XBYYlqMh9FdoQi6h0KwSJcZ8aeYYf6WBAIBKcX5j//4D7x9+1bKZnw+H8bjMW5ubsSlpluYSqVQq9VQKBRQrVbFwmP3CYvwzdeeQtHr9dBut9FsNnF7e4tWq4X5fI54PC6PxYw1O1wouHxc27al5a/ZbMrjsag9Ho8feBblchlnZ2fIZDJSE8kEDpNDlmXB5/NJDJYtkXwefF3cng+FcDAY4P7+Hnd3d2g0Guj3+xiPx+J+7/d7mfCUyWSkHI1hjmKxKBcsxZtnK5Bs+2LLWL1eR71ex93dHTqdDmzbBgAJbhcKBRSLRZyfn6NarcqJmsvlJEBv9im7bwNab+YFa0w59KFSqeDt27f46aefEA6HYVkWFouFJB4+fvyIer0OAFIHWavVcH5+flD8zWTMsXmLbEHsdDoibBSS7XYrF8Mff/wRV1dXYjGyDIvvK8uLer0e7u7uZAkZs+mhUAi1Wg2ZTAbX19c4OzuT8q5wOCxJqfv7eymGn06n2Gw2UjtZq9Uk7phOpyXjzIuvOZyY04f6/b4UmtMr4kWBhe60ImezGXw+n7jdtLTZ4qoxSW+ejUCa+1noWpsfjm63i/F4LLMCGcBmaxqv+jxYj5fJZNQF+YPhsAqfzyduNesRR6MRVqsV/H4/YrEYcrkcyuWyiCNLgFKp1MFjmu2gjuNIi16j0UCr1cJ4PMZ2uxUvgMXf1WoV5XIZiURCJg2xUWC1WmE2m8njtNttDAYD2LYNv98v7jmtv3w+L8XilmVhs9lILS2L2tknzgEY1Wr1oJyIdZbHzjkOvzCnzXPWpN/vRzwel04fFpEzvhoIBLBYLNDr9eDz+eS1siwLqVRKPCLG0r0uPC+NZ/XJZ40Yp7owkE6Xer/fS3cGR2AxG21Op6brxnYy5Y/BLBRvtVoSY7u9vRWLzHEcuWhls1lJwrDdkEM9zJmcfFyzZKvX68nFkW186XQa5+fnyOVyODs7w8XFxYGLD3zyPBiSYbyx0Wig2+1KS2OpVDro+2aMdLlciiByujmTQdFoVDySVCqFQqEg2W6eb+4qB3N9hWVZUo7Wbrdxe3uL29tb9Ho9bLdbFAoF1Go16aoxB67QImbMlC66OfyXhfns+DKfz0vl2Qgk5+d1u128f/9e3ClmQBnvKZVKKJVKB2P72Y5mxhZZR/bST5A/AooPP+jT6RTdbhd+/z92Z//888+4v7+XchuOKatUKgfWFS0d7rEBPu2woUByRUO73ZbDcRxkMhlcXFxIYohxx2w2i2g0eiBMi8UC7XYbv/zyC+7v76VryrIsBINBVKtVXF9fS0sjpwsBwGQyQbvdljiq4zgy4zGZTB6IIkM4ZqmYmVU2J0ixZ5uJJlq1zWYTs9lMElgsSg+Hw5J5Z6iJsdDlcimlaIlEAuVyGa9fv8br16/lPWOW+6Xz5ATSve2Pk7ZXq5UE5FnnxqkqjuNIvKVUKuHy8lJOUA4ZME9Od2xR+WNw10H6fD6xZkajkZQA5fN5iTma8xyZqTZFgy61aTXW63UJqSwWC+lV5uNy/BlFCcDBpKZut4tWq4X7+3vU63VZGsa1CZlMBtVqVcqLOLtxNpsdFI83m034fD6ZX5nJZCSeWqvV5DmYtbPma2W60kw4NZtN3N3dSWkRwxHJZBLlcll60Vloz6lCwWAQg8FAsvpM/ITDYTEg+DzMoStmOOQlfh6elECaqw3cO5c5kaXRaGA0Gh0MOmUmlFlLBvnpSjMJozweTC5sNhvZKMg2QJbIRKNRKfxmdpnzH9mFBHxaRWDOXmTMsdVqod/vw7ZtKQ9i6c3FxQXK5TKy2azE5Vj4TXEbj8fodrtoNpvS0sgKh0gkIn3iuVwO0WgU2+1WBN9sN2RReywWQ6lUkkw1k04cYGFemE23mAM1mNRhjJau/mw2QzAYlBbNcrksSaJyuSzhC/6dlmUdTEA347XhcFhCHuyPZz84Y6bmpPmXxJNSBV5VTbeBJw1bxlj7BuBgOCkzi2bpDrsNXtqb/r0wY2lsNUyn0ygWi7i+vkYul5PuE7OMhyJCKJCWZUnhN+sSW60WRqMRgsGglM2wDZGia8Yx2aHSbrdxf3+PRqOB4XAotbMswDbPI8arAci/vb29RaPRkA6ZYDCIcrmMfD7/meBns1np+HFbZ7zNvTh8Xq1WS8rVxuMxfD6fDN1lXJ197EwsUtwBYDQaSUkUy4fM1s9WqyW3GTPl1kwA8jl5aZ+VJyOQ5noDdkZ0u13c3t7i119/Rb1elxWetBg5UZpLnsyR9ma27iW6Dt8SM9nASgPLspBIJJDNZlGtVsW6M1cQmKslWHLDgRfmBdJM8nDRFpMPb968wcXFhXgM7HriHhpaf/V6He/evcPHjx8xm82keDuRSKBQKODi4gJnZ2cyXYgx79FohEajgZubG9ze3koSh4LKdkiegyzOdi/eMqfVs81yPB6j1WpJTJ3e0mq1QiqVktKi6+tree14jpsxVcbVWT7EUWsAJHTABBktRy5YYwKLF5WX5mk9ib+WbgdjKsPhUOJEtB4GgwEASHaaJ2etVsPV1ZXUpbnHiwFav/itYHyXQ4NjsZjE8/ghdw/2MPupzYk8bB2kW8uwCuv9WB7EmCPdWQBS28jOGI4763Q66Pf7YnmxDZLjyvL5PBKJxMEUH3MSOouxGe9kOIe1tRx0a1phPLf599E7mk6n8pw4Do6lOxylx7+P3Ui0tGkZ87E43Z61j6y1TKVS4kYzls961F6vJ+PazInoZsb/JXxuTl4gzSsrBw7U6/WDoam73U4sDg42ZQaU5RgcIaV8e5hxZi813U4mFJilzmQyn9Xi8d+z/IY1k71eT9oRGVKhcMTjcVQqFclWmwMa2L9szoHk49ADSSaTcnFl22EymcR+v4dlWQdLwpjh9vl8so7h/Pwcl5eX0m7I+kj3UFta1LSqzTFsLFUz46nmOg6GJSi8sVhM6htpGXM6Fb/ato1wOIxCoSAXKfaZc1gvJ1dNp1M0Gg0ZAbjf76X8x1z18dw5aYE067h41e73+7i/v8e7d+8wHA4BQCwR1rcxEM5YkelyKN8eUyDZSfOnP/0Jb9++xfn5uQwTZhLBFEfTuppOpxKTo0u9WCyw2Wxk+yFLuBiXY+E0AMmgD4dDNJtNfPz4Ebe3tzIEIhAISIMAS4IKhcLB3hgzm9zr9bBYLGRQMt1q1lgyHmh255jQcjNd/bu7O9zc3KDZbIpFutvtkE6nZbq52dZIt53iyL3cTFrV63XJdvN5MozBLDoH8Y5GI1iWJWuLzYQnL2ypVOqzeOlz5uQFkpN4TNO/0Wjg7u4Os9lMellpMfIrB66ydEH5/rDbo1Qq4c2bN/jpp59QKBRkpqEZEzbjceZw2FarJTHH1Wol9arJZFJcdcYKOZcTgAylZXimXq/j9vZWYo4U7mKxKNbj5eWl9FNzJiWHTTCZs9vtJPFCV5qJJmaYKfrutR5c3EVrr91u4+7uDu/evUO9XpfRablcTtpgr6+vZQkZz2/GQ83hvXydbm5uMB6PJaPPiVTValVaJNfrtRTE8+/j6833gvWbbMl8KfH7k1YOcyKP6XpwND3r0rgWlEMMGLDWesbTgq18yWRShCiXy0mrHONnFEeKmimOLOPhsAd2Q9Fy4xGPxw8eh/FGxgw7nY70LJttjWw9TKfTB73OFEdmkVl/yO6YcrmMi4sLVKtVyS6n0+kDd5Rlaqy35N9GF5gxR2aRORKOQzrMvy+RSIgFypilOdmccfnZbCb7xdkBxMeiQK5WK4n3rtdrTKdTAMBisZBSIQqnOeXKnG/6XDl5gWTbF2vcer0eVquVWBysLWOfLrti1Go8TbiIjFOw3R0bZmcMh1eYCZThcIj5fC7uurnYq1wuS8yRRejm5G/unOEYNVp/4XBYGgjOz8+lz3s4HGK9XmM4HEp3DgdNMIHDJBOnhnOGpFdtLd1pZtxZP0kLdTwei6ufSqXE1Wd9Izc0BgIByWq7hZ9/33K5RDwel8lUfI58HGa92eUzn89lIrkZn2QpUzqdxna7FYF9CdsUT1pFOJ2k0Wjg48ePaLfbUvXPLhiWULB4l7VlyuniZdWbK08XiwUGgwFubm7E5WQ/PTPM5XIZV1dXuL6+RqlUQiqVkoujuWKB1g8TeyyyTqfTEqdkYq9YLGK/34tocfc2M+W73U6mmdPa5M4ac5bosXOQoSLTneWyMDN7zvkAdKvZ0sjpPz6fT/4+c3AvjQgOfOa0drZvMj7PQnnGZrn8ixY+C9zZW+44jrSG2raN9XotlSLPnZMTSLNJnzuLGTNiUz6b/TnlhZlrZqrVpT5dzFFxpoiYTQDsq2Z94ocPH1Cv18Vy4w4bWo+Xl5coFotisZkZb85ubDabuL+/R7/fh+M4kvmlaDA5k0qlJJ38JNcAAB/WSURBVKNL0eHgicViIXE/xlEZD6SgsH/frP0EPnlDFDWzn7rdbks7IJOLtVpNnlutVpMSIdaDMt5ozqlkiyUtQQo/a0w5hyCRSMj7wBgvJwWxOJwiuVgssN1uMZ1OJSbM142enPnePjdOTiDNwDwzaxw4sVgspI7LjMdwpL261U8Ddx2qmYijm8lkHD/wrMMzR9Nxojjr+thEMJ/PRVz5GFySxQVrDM3wMdg2yHZDc9UD2/E4Ho/nHS3IZDJ5UNAOfCpNYjsfLT5zyESv18NsNpN2S4o/44O0/vj3MUvNmDz7zlutlkwoD4VCEpPl32dWdaTTabGwbdsW0R4OhxgMBhK3BIBkMin7fACIKHP9MdtFuULD/PufCyelKOYwA7aj9ft9CTQHg0FxG1gDVigUDjoDlKcHC8BZ43p3dyetddPpFOFwGNVq9WBIBL0Grnc118KaLmyn04FlWQAgmW26r3yMSCSC5XIpliIF0hQKLmhjMsjMJHsVf7M0iGJr9lOzvjEQCKBSqSAej0tzA+ONZoyQZU6s2TR7zyn+jMlyLYM5CcnMPjN0RUHklkfu6Vmv1wAgyRgKKa1Jhj9arZYM/jV33TwnTkogAYjlyNhKr9eTwDivjmdnZ/jhhx9QqVSkn1oF8vQxLUfz/eLAiPF4jLu7O/z3f/83bm9vYdu2TMHhB/7i4gJXV1eyxZDtb5z6/eHDB9ze3h4kdbbbrQji69evZZIOV2mw9bFer0tZDL0YxipfvXolwkxXnG197uVXjOkd66dmvHA6nYo4np2dHUyYoqXH+l1afBznxm2MTDrZto1kMomLiwspvqfFaD5P9mXvdjvpv6aVTUt0sVhIoT2Fm4N26YbPZjP0ej2ZmF4ul2V6uQrkI8NpL7yyTSaTgyLXVCp10P713MsMnhssdaH7udlsxHJjMoUrDczWOIqjWUrDhVrmpkHGDem+LhYLWV7FRoJarSYWD58Hs8HdbhfT6VR6sVmSdH5+jlevXqFarR5ked1xVM4LoPVIq5ECxL0x7KdOp9MHHpEZzwQgZW6TyUSqOer1OjqdjhR2A0AoFJJytx9++AGlUulg7gAAiTEyvktrlhP32c7ICgN2N3FzIkcHctcT462xWAzZbPagzvO5cFICyUA9l6tzARFLOnhCmSeo8nSgOJqittlscHt7e1CiAkA6a9hrzJgcJ4Cb9YlsP2w2mwf7WFiPyCLwUqmEWCwmwxnMMWfdblfWtpo7zymqrNnkdCHOpQQO+6lZc8m4HsWx2+1K7SbnAuTzeSn8phjRI2KSkq2M/PuazSb6/b4IP72oarWKq6srsXAZk+dFYLFYwLIsca1pNfb7fWmxrFQqCIfDKJfLePXqFWq1GhKJxEF3zXw+RygUEouWHUTr9VoF8rFhsTCvVgzOcwJKLpeTOjNdh3D60HqhC2pmqtnyZ1kW/v73v+PDhw+y+5oTfjjglmteGUfjgNrRaCRDbVkfyX5jehrZbFbKb1iCQ1Fk4Tf3xwCQCeHszqLLy/1EZtuq2XLHOYtc+3Fzc4NGoyG90CwRYvKE8yHNyeacNARA6g+bzSZubm5kVexoNBL33L1XhyVH7GlnJp3x3bu7OxFrJlkWiwVCoZC0fNI742i2QCAg8w5ofbIUi3WYHBLyHD+TJyWQAGRiDweFApDMI+vAnuMb8RyhK+1eHUAri10f7969w//93//Btm2ZUMP5jSx34RZDfuAZB2Nf/mAwgM/nk4xqIpEQq4rDGcyumlarhZubG9zc3GA2m4lLaW63ZH0lrTGvFRycFcCytE6ngw8fPuDDhw8Yj8dwHAe2bYt1WK1W8eOPP0rrHheJ0Sqllc1xZ7/88ovUgbIOkVYih35UKpWDEXF+v/+g04Y1pT///DPa7bYkXgBITTHXUbCIPBqNStkds+cc2LFYLKTMx3S9n20Mkifzer0+GPXOEgwGnh8rGcL6LtarsaWMVf6M93AMluM4n222U04H7pO+v79Hr9fDfD6XqTXj8RiNRgOO46DX6+H29hb39/fyAeMSNdu2YVkWotEodrudTADnBbTRaODDhw8H/cbm6lbGIGlNmcXj9/f3+PjxI+7u7rBYLKT7JhQKIR6Py+DYUCgkQmK61GZCxpwA3u12RRwpvhTQVCola0DYZsjhuubSMCatms0mPnz4gI8fP6LZbEpsk7WKLGni68H2R7N8arPZYDqd4u7uDu/fv8f79+8l4bJer6U8h6LH14uv93a7laz+dDo9aI3k9B92/axWq5Pds20OTDGL4c2hxcDn+iYCyWnCjP2xt9OyLDm5jz3AHwUnptBt4sh79rty1BPdHV556UYopwMLwZfLJbrdLn755ReJ8W02GzSbTfzP//wP0um0fHi5J4ULudjeRteWTQDmRHmWmrTbbemOYXKFsbtmsymrWN3TblgSxKERTD6wMeHDhw9IpVIHgybc55p7niOXdnFvDEeFcQYl8A8R7Ha7Ek/lB5SPRQuStY53d3eSQKGry8Slbduo1+sSdjIrBGj00O2/u7uTqef8GY0Nlv7c3t4eTHHn82Z9KvWArjUnqA8GA+lkO8XPJJ9POByWTqharSabMr3mNvj2/wCWZUkWkScdi2xZhAo8nkDSJaDVwDeAP2M8i+4I689O8c146ZhdGszk0gJhLWs2m0UkEsFqtTrojY7H4zLzkMNzzak1XLdg7qThlG32dQcCgYOLKstb3IMiaGFuNhsZ4GtO3TY3DQKfiyPvMwdssGRoMplI9pc/N/92usPulQvunTTT6RSTyUSsNQokh0awVpEuunvepLkHiMkjijaHhEQiEUlKMQ5KsTUH+bLtkK//druVf8uSKVPsTwk+Hyb+fvrpJ/z1r3/F69evpSLi2CbHAxebb+5wOESn05HtgL1eD7ZtP+pkHL6oLBperVbY7XZijdAVYMD/JUwSecqYHy4ugaIFNJ/PD6xFTmWi60qLZjabHWyZBD6d6BQLWkI8fxgSMuN4TBC5/x0ndFMMWHZEYXLXNx7DbVlSkCiM5jlKN38wGGAymXgOnnWvX1iv10dfBxoR7Ggx/637ufGx+DcDkK98rbkO1qxVNa1aPgYvNLRAZ7OZGDCn+plkiDCRSMgOccuyZKK6eY6YiECyIJUJEXYNmKb8YwokLUi2M/HDxL0gqVRKBqoSLQ4/TUwXz7ZtWSXKDxQzzEx+bLfbz/69ufaUwkUoFCwSd7up5nPw4ksWzu89t/7Ix3/osUwRMy07Wppm37tpZHztczJDCLzoMNHF9yQajR506pyiBUmBZMcSLV4z/nvs7xeB5KKrUqkkiZFisYirqytYliWp/MeMQXJwpxk8Z+M+G/Y5gcTrD1K+PzxPGEfjlOx+v49YLIbr62u8ffsW1WoV0Wj0QPz477lig3Fx27bFUqQosn+ZMTP3gAjguLiY543bJTX5rR/yhz5wXrHM3/JYhMLFTYy01vnvAoEAYrGYdNXQWv+a52Va22x37Ha78n7G43G8evVKMv7m+3BKUCAjkQiKxSIuLy+lLvYhTyEIQLJ3DPSyut+2bZmuwpPzMeCb6DgObm9vpRB1MpmgUqng7du3+Mtf/oJarXYwsUcF8jShm8UsdiQSkWwry0n+/d//HT/++KOM/Dcx45fD4VAG5K7Xa3GJGWPM5XIHO1n4QfhaHhLIP4Jj7vMf8TgmLAQ3E6t8TfnZ5qZFdup86SJiPjZLmJbLJXq9Ht6/fw/btrFarZDJZPDmzRv87W9/w/X1tSQ83Beq7w2fSzAYPFjRYlq9D1qQgUBARtSn02m5ctBUf8w/lm6A4ziIx+PSMubz+VAsFlGr1fDmzRtcX1/LpGeNQZ4uPNkWiwUSiQQGgwE+fPiASCQifb5v377FX//6VynhMc8vWpDc/8IhCpz+TeuRU2uYiQQeR+ROFdO95toGJsPMpCqnELEonW2MX3qtGOYwk1rJZBLL5RL39/cYjUbI5XK4vLzEn//8Z/z5z38+2Flziu8FtYbhGVNHHhRI/hJjFd+D/X4vOzgymQwcxxGXgJk1Zhm9hpIqpwMXRJmtobyCM8b90Ig6ZkX5Ad9sNuJisy+fZUBm6OUlws8E44GsADEtSE5AZ1b/a2C1AEuLWEPIPEUmk5HleIztPSdOqpPGLNRNp9PSI8rMp2VZUtj5z7zJyveBraNmHI0Hf/YQbBn0+/1IJpOSzDHXNphlPC8ZJjM5PIIdTAxfcQDFP2v8mPFgFqazLIoCyQvgczRYTkogWdbD3cTcB8xyDRaG023QAbmnjdmFZdYLmoF/L3FjiQwzjRzeCnyKWZvbAl9yPJp/P70qxhh5P1+vf/a1YgcQy54GgwFGoxGWy6UIpDmW7Z+N/z4FTk5h+AbTguTwCo6gYhzLXRqiPC/4oWaTgNfvmF9fKuZrxdrSY79jfv1aWMs6n89lLB1359CCNBMdz42TEkjTHUilUlgsFlIHNx6P4fP5ZEG8uzREeZ5otcLX8xgXDG6YtCxL2g05vJorMCiQz5GT+6tMC5Iz7Dg5ZLfbyWy/52jOK8opYXa3cTwdl4sx/ssYJLuRnhsnVydjZjlTqRQikYhMJOFsPY5XUpFUlMeDbZMcLzcajaTcir3gnGPp3svzXDg5C5IB+Xw+LxvhOHnaLIYdjUYSjzT7aRVF+e2YCTRONOeQXoa8uHObdZXJZPLZTvg/OYFk8Jes12vpDmCrU6fTQTwex2q1krWY6XT6WZYZKMq3hPMQOLSG63dHoxEcx5GGEg4VNieYq0B+A8zAbygUgm3baLfb0orIGX8AsFwuZeinKaqKovx2OHGoXq/LalkOyA2Hw4jH4yiVSri4uEA+n5eEjQrkI8NCcbaS+Xw+DIdD2Q/M2ONoNJI2KHMCNesk+ViKonwZc1CFuc6CGw8HgwGWy6VYj+yC4g5u4Pl+3k5KIE1Y+JpOp1Eul2FZFgKBACzLwna7lX3HdMm5ejIYDB6sulQUxRvOiuQgYYawWq0WWq0Wer0eHMeRFkbuJ0+n0zK55zlzsgIJQILBFxcX0m7WaDTQbrcxGAwwnU7h8/mk3Yx7PzjKXlGUh2ErIXdv93o91Ot12YA4mUwQi8VkmdrZ2ZkI5HMXR+AJCGQymUS1WpXl79xzwr0aXJhOl3y/38tahpfwBirK78VxHNmXzZUrrVYLnU5H4o6ZTAavXr3C1dWVbFR8jjFHNycvkOwvDQQC2O12svSc6yZt28ZwOJQRTtvtVpYNcQMia7RUMBXlU481h+COx+ODfVT9fh+z2Uwm+nMCfLVaRbVaPRgy+9w5aYE099FwIjLLC7hpjTsx6vW6TFSez+colUrIZDIHBeeKonzaQcOFYP1+XwRyOBzCsiwEg0EUi0XEYjFcXl6iXC5LrJ+fpZdgcDwJgWTChvVX19fX8Pl86HQ6mEwmMli12+1KEflwOMTZ2RlqtRqi0Sii0ej3/nMU5STY7/eYTqeo1+totVrodrtot9uyv5zZ6kqlgkKhgFqthkqlIgXhgUDgxUxQOmmBBD4NK+AQi1wuJ83y8Xgc9Xods9lMjt1uh+VyKTtMuCCce0zMmYTm/6Eozw33hkPeZryx0Wjg/v4e3W5X2ni3262sk724uMD5+TkqlQqKxSLi8fhnq2WfO09CIIFPu7FTqRT2+73EQJiB47pY4B8nAGsqWRu5XC7FPWBhK2ObGp9UnhPHVrWybZd1xKwG6ff7mE6n2Gw2ErMvFouoVquo1Wo4Pz9HPp9HKpU6KAZ/KZ+XkxdIQiuSw3Q5kZoxymw2i+l0iuVyicVigcVigW63i91uh8lkIqscOKI/mUwiFos920nIysvFnMJDb2oymWA8HsvemsFggF6vJ8YEK0HYY312doZqtYpCoYBUKiWDi18aT+ovphgCkAnJsVhMFgf1+320Wi00m01MJhNMJhPM53O0223Z1Mg3ngvDaY2qSCrPBQ65XSwWmM1mmEwmaLfb0hkzHo9lzioApFIpVCoVVKtVFItF2QnFlboUx5eQtXbzpATSPTmZqz+LxSKWyyU6nQ4CgYCsqGSmbrPZIBaLYbFYYLPZSPcA3Y/dbid1k3S33btUFOWUMFdYmAe7Ylj4PZlMJN7IffOz2UwWfCWTSWQyGZyfn+OHH37A2dmZWIxcssa440v8HDw5geSbxMVNFDbuAZ7NZrKFbTgcYjgcSg8326i4BGw8HiOTyRwsVOcRCoWkhvIlnhjKacNZBJvNRqxButS0HOlSj0YjScIsl0sAkNbcQqEg3TGVSgWlUknqHF9KpvohnpRAHoNvYCgUQiKRQLlcBgAkEgn0+310u10Mh8MD0ZzP5+h0OtKWaK4PZe0kXQvOm1SUU4JutG3bsrOaFuNkMpEax+l0ivl8jvV6je12K0u2isUiyuUySqUSSqUSKpUK0un0QUz+pYsj8AwEktBNLpVK4nb3ej3kcjl0Oh30ej2MRiOMRiMRSw7DSKVSKBQKEqN0HEeWgun2ROUU4SpW7ophsXe320Wv18NkMpE1rdvtFvF4HPl8HuVyWazG8/NzaaiIx+OIxWLw+/0HS79eukg+m08+y4BCoZBYhNyVwQAzVzfwyuv3+2WlpW3bEp80yyK22630nZp7ns3bWlOp/JGYNYtcm8vbLOFZLBbiQvf7ffR6PbTbbXQ6HfT7fViWheVyKUNu4/G4eFgUx1qthmKxiEQicVAfrOfwJ56NQAKfYpQMLmcyGdldw6w3x6PR7eC/o3gCkDbGbDaLbDaLZDIpsclwOCyDMyjIZhBbTy7lt+IWRe6D4cWatzmzkaU7pmvtOA6CwSBSqRRSqZTsFi8UCjg/P0e1WhXXmkMn1EPy5tm+Mvv9XiaNcypQqVTCq1evMJ/PYVkWptOpdODYto3VaiWjnlgTxoPxSTNuyVilaV0qym+F9Yv0YujdTKdTWJZ1IISWZcnBjZ/BYFCWaSUSCSSTSaRSKSSTSbnN7zkiUHmYZyuQ7N8OBAJIJpPYbDZS1rNerzGdTsUtoWvS6XTQaDQwmUykHzUejyOdTqNUKh0EtbfbrWTSaUUqyu+FLjQFki40E46Mp4/HY2mI4DpkxhbZCVOpVFCpVJDL5ST5wrIdftXz9mGerUACePAEyGQyUuvl8/lkQfp4PJY+7vV6jfl8DgASx+TVfbVaYT6fYzKZSIkQ3W/WapptjOZtra98WZh1irvd7rPD3RK4Wq1g27YszuLR7/cPVh+v12vxlOLxODKZjIjj+fn5wXBb5bfxrAXyIVgWVCgUDtY7lEolEUlamz6fD+FwGNvtFpPJBLZto9friSDGYjEJgrM8KBqNIhaLyfBe3n7phbcvDbMvmhdWtv/xNr9nyQ4tw+VyKaK5Xq+xXq+lRKdYLB50k2UyGeRyOVnFyhZBnaz/+3iRAskC2FgsJlm8UqkkJym7EJgl5EnLbW8sxqWlycRPPp9HNpuVnm8emUwG+XxeTmgdjvFyYNKQImlmnyeTCUajkXzPom62yAKQMA8vsPF4XHZRc1ldOp2W2QL8Pd5WF/r38SIFki4vh1Ukk8kDl4euNuvKBoMBRqORuEKz2UxcncVigWAwiHQ6jUKhgFwuJ1dwTjxnEJ3Fvcx+e4nlQ9+rsH4/zPpA9/dePzMtQIrjYDCQgRE86EabtbrhcFjOpWAwKIkWnmOMh+dyOcTjcTmfzPCOJg5/Hy9SIAHIiXPsCsuM4H6/l/pKs8yHrYiRSASz2UysUWYFHceR+82+2G63K79niiRjpeb4Nd7Pk50nv45o+7aYcUNeIJlEOXabv8PDbAOkC82stJmFNmOJAJBMJqU8hwMkcrkc8vm8HHS1M5mMTsx/JF6sQD4ERZGb2xjjKZfL0p1gWZb0fTuOczCYFPiHyPKD4K7PNOsoGaNk3JJCbN7mHEver+L47eB7t9lssFwusVqtDmKHx26bX5l0Wa1WklThFCkefO9LpRIAyIUwFouJK83SHJbv8OD5oDwOKpAecDgvhZJuklm0yw8Gd+FYliU7cSikjFXO53OxFGiBRqNROendBz8AvM0kEMezaXHvt4Pi6H5vzdvu+/g9xZHDnCmG8XhcDvd7zfc7Ho9/NkCFw57pgeg808dFP2UecMVDOBw+uOqbsUrGlyzLkkGkw+EQ4/FYWhuZDeeEFa6LoCVpZr9NK4EfNLdAplIpzOdzCcC7S4bcHT3u+71+x6v06J/93nw800oycd/v/h0m0dz/jj/zuu/Y47nv8/refR+fA3uejwnhQwLJ2+aFlTW5FDRehOk+mwfL0MzQizmGz/RK1Jt4PFQgPXgoRml+iNbr9UE8kcvFzID6dDpFPp+XD4x5ctMqiEQiB6LK3TrT6VQsBrrmFG4zLmkG5911mMfuN793/645Vt8tpg/9zNwfZAokXzP3VzMc4XY73a+z+3v3fe66QvdtM37ojhUeizGy79msTWRvs+lJ8GDbKpN+4XAYiUTi4MLK0rJ0Oi0Hs9Ds1GLVA70XbWH9vqhA/gbcosAPazAYRCKRQC6XE7fbLB3iB4xz/Dislx9Gc5AvXXb3z/n/MZ5JS5RC6z64rMzrdyi05u+bSSCvAR1mAbwp+KbAHpsKc+yD7ha4Y6Jnfu9VdM26Ve585m2zjvC3HKYgH/tbeYFxt52a7xHfJ7M+ll4BS3JY0hOPx9V1PhFUIH8D7kGizD7SejAF0H1wqCmLg80iYfNwFxDze1ozHMBhZtjNLLt7qIb758d+l4cpkl863Faoz+cTwTUvCqaltl6vJabn8/kkDOEWw2OWoNfvbLfbz6w6d5LE/N78Hff9fM4s1ObrbCbVKGpMoJnNAfF4/KAWkbfZ+srX17wg8TXTIc2nhQrkb8A8eU2LimU+D7mFLPdg4sYdt2Kih2VCZmujeXu9XsPv94t1tFqtEI1Gjwbxjx38mbnl0ZxO5GVFmrGwY0JJgeTqi06nc9C+uVqtZLJ7vV5HPB7HcrkUoTMt6WNteccE0lw14HaB+drwq9stdt82f2e5XIpr7PP55CtDKcwye2WYTYuQCZeviQWrS306qED+AfwzJzTjh2Y2kx8siiZdcvdhWpxcuGSKkzvGaIoXABGozWbjaQG6R7d9Kclz7KBQOo6DVquFm5sbjEYjLJdLBINBNJtN/O///i8sy0I0Gj0ofwEejjV6fX8s5njsPlYB8GIQiUQORNZd60hhNC1CWonmwftMV9m0HrUc52miAvmNoQUCfNrSGI1GkUqljlo07oSAeT/d0ocsLi83lVsdvWJ/wHFRMn927HcIE1jj8Vj2L9u2jf1+j/v7ewDAzc2NVAm4u4UeysR7Cbjb4nVbtkyEeV0cvKxhM87rtsLd1vex79Vlfrr49sfqJpRHwxQhd+LBKylxLPPqXgb/0OF2Ld33u0XXjAceE9uHBNndeWLbtoQPaEGy+DkWi4l4eLnuX3uYo+fcQuYOI7hjs8dCEO7pTGbs8NjzdN/nldRSnhZqQX5jTDf0t2CKD+NqZlLBTDQcu20mLMz7+TMud3K7qu6SmIcsVIokH8vsOacYmpn1LyV93AmjY9aema13J1SOJbHcoQ538or/1j2+TnlZqAX5hHmolMX83rQOv1T2YlqpXgXyXhav+fv7/R7L5RLj8Rj1eh31eh2DwQDRaBQXFxd48+aNrBjd7XafWZHHXGYvK43/1l2uZLrFZsmTu+zpSyVQavm9XNSCfEK4uz4AHFhZkUjkM3f8a+KTphiaAnes0NsdnzTvcz/HxWKBer2O//qv/5J2vXQ6jbdv3+I///M/8ac//UkEkrWdwOdJL/N+fnXfZwrlQxl2dzLL/DfHiuUp3g/VcSrPFxXIJ8SxRAbdPreQfek+r58f+/5rf+ZmsVggk8lgOBzi48ePiEQiSCaTOD8/x7/8y7/g3/7t32QKjTtR44XX77hfm99y20sEVRRfLiqQTxivD/ypEIvF0Ov1kEgkpL6SE7A5WFhRThktzFIeDTP2acYomWDabDbf+ykqyoOoQCqPhjumScx4p6KcMiqQiqIoHqhAKoqieKACqSiK4oEKpKIoigcqkIqiKB6oQCqKonigAqkoiuKBCqSiKIoHKpCKoigeqEAqiqJ4oAKpKIrigQqkoiiKByqQiqIoHqhAKoqieKACqSiK4oEKpKIoigcqkIqiKB6oQCqKonigAqkoiuKBCqSiKIoHKpCKoigeqEAqiqJ4oAKpKIrigQqkoiiKByqQiqIoHqhAKoqieKACqSiK4oEKpKIoigcqkMo3Y7/fY7/ff++noShfjQqk8uj4fD74fD4EAgH4/X75XlFOHRVI5dHw+Xzw+/0IBAIIh8OIRCKIRCIIBoMilIpyyqhAKo8GrcZIJIJ4PI5kMolEIoFoNIpAIPC9n56ifBEVSOVRCQaDiEajSKfTyOVyyGQyiMfjCAaD3/upKcoX0bNUeTR8Ph+CwSASiQRyuRxKpRJSqRRSqRRCoZC62MrJowKpPBo+nw+RSAS5XA61Wg2BQACJRAKlUgnRaFQFUjl5VCCVR8Pv9yMej6NSqQAAKpUKIpEIqtUqksmkCqRy8vj2WpimPBL7/R6O48C2bSwWC6zXawQCAcRiMSQSCUQiERVJ5aRRgVS+CeZppqKoPBXUxVa+CSqKylNEy3wURVE8UIFUFEXxQAVSURTFAxVIRVEUD1QgFUVRPFCBVBRF8UAFUlEUxQMVSEVRFA9UIBVFUTxQgVQURfFABVJRFMUDFUhFURQPVCAVRVE8UIFUFEXxQAVSURTFAxVIRVEUD1QgFUVRPFCBVBRF8UAFUlEUxQMVSEVRFA9UIBVFUTxQgVQURfFABVJRFMUDFUhFURQPVCAVRVE8UIFUFEXxQAVSURTFAxVIRVEUD1QgFUVRPFCBVBRF8UAFUlEUxQMVSEVRFA9UIBVFUTxQgVQURfHg/wGNMVtfEZK95QAAAABJRU5ErkJggg==)
maths-General
maths-
The area of circle circumscribing ΔABC is
The area of circle circumscribing ΔABC is
maths-General
maths-
Statement-I : The statement that circumradius and inradius of a triangle are 12 and 8 respectively can not be correct. Statement-II : Circumradius 2 (inradius)
Statement-I : The statement that circumradius and inradius of a triangle are 12 and 8 respectively can not be correct. Statement-II : Circumradius 2 (inradius)
maths-General
maths-
The complete solution set of the equation
is
The complete solution set of the equation
is
maths-General
Maths-
The solution(s) of the equation cos2x sin6x = cos3x sin5x in the interval [0,
] is/are –
The solution(s) of the equation cos2x sin6x = cos3x sin5x in the interval [0,
] is/are –
Maths-General
maths-
The equation
has
The equation
has
maths-General
maths-
if
if
maths-General
Maths-
Maths-General
Maths-
If
, the coefficient of
in the expansion of
is
If
, the coefficient of
in the expansion of
is
Maths-General