Physics-
General
Easy
Question
In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at
![](data:image/png;base64,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)
The correct answer is: ![r subscript 1 end subscript less than r less than r subscript 2 end subscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEgAAAAPCAYAAABHsImTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAKIPF7gAAAAQxJREFUeNpjYKAfsAbig0PYfIZ6IC4H4gwgPgPEP6B8ajl8LxBb0sB+WpsPB6uA+CkQ9wCxEhUCxpJIh5NrP63NxwC3gDhoAAKGVPtpbT5WwATE36iUVf8DcREN7ae1+ViBORDvp1IAWULN2k9CDJNiP63NxwoigXg+ATVqQFwLxBdIzGrEeIQY+2lp/n8o/gXER4FYBV3BJCBOJmDJYiBOgxpECrAF4sMEPEKM/fQwH5QVs4D4HLrEOiD2IqEMoMQj2AAp9tPD/B/oAu+AmIPGAYQPkGI/rc23p7TB+Z9h+AJJaBmkNBpA2CuhLdBAYhgNIMyUsw2I+ajVEBxuABQ4GtQIGHQ8XABOvwEA4FliwL1knDMAAACldEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPnI8L21pPjxtbj4xPC9tbj48L21zdWI+PG1vPiZsdDs8L21vPjxtaT5yPC9taT48bW8+Jmx0OzwvbW8+PG1zdWI+PG1pPnI8L21pPjxtbj4yPC9tbj48L21zdWI+PC9tYXRoPleNjB8AAAAASUVORK5CYII=)
The electric field of a hollow spherical capacitor is localised in between inner and outer surface of the spherical conductor.
Therefore, at point
, the electric field will not be zero.
Related Questions to study
physics-
In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become ![left parenthesis e equals 2.718 right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become ![left parenthesis e equals 2.718 right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
Maths-
The solution of the differential equation
represent
The solution of the differential equation
represent
Maths-General
physics-
The stress - strain graphs for materials A and B are as shown. Choose the correct alternative
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487101/1/938592/Picture18.png)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460659/1/938592/Picture18.png)
The stress - strain graphs for materials A and B are as shown. Choose the correct alternative
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487101/1/938592/Picture18.png)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460659/1/938592/Picture18.png)
physics-General
physics-
In the experiment to determine Young’s modulus of the material of a wire under tension used in the arrangement as shown. The percentage error in the measurement of length is ‘a’, in the measurement of the radius of the wire is ‘b’ and in the measurement of the change in length of the wire is ‘c’. Percentage error in the measurement of Young’s modulus for a given load is
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)
In the experiment to determine Young’s modulus of the material of a wire under tension used in the arrangement as shown. The percentage error in the measurement of length is ‘a’, in the measurement of the radius of the wire is ‘b’ and in the measurement of the change in length of the wire is ‘c’. Percentage error in the measurement of Young’s modulus for a given load is
![](data:image/png;base64,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)
physics-General
physics-
The graph shows the change ' ' Dl in the length of a thin uniform wire used by the application of force ‘F’ at different temperatures T1 and T2 The variation suggests that
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)
The graph shows the change ' ' Dl in the length of a thin uniform wire used by the application of force ‘F’ at different temperatures T1 and T2 The variation suggests that
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATQAAAFxCAYAAAD9FFRAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAE1CSURBVHhe7Z0FeFzXmYazW0q7u+XdNmmaNE3SNmmbpknDHDsxMzMzMzOzJYNsySCzzGzJlm3ZMsoWmMQ0zMz87T1nJm7AqAgG/rfPfZRortV25PvOf8754QkQBEFECSQ0giCiBhIaQRBRAwmNIIiogYRGEETUQEIjCCJqIKERBBE1kNAIgogaSGgEQUQNJDSCIKIGEhpBEFEDCY0giKiBhEYQRNQQlkLz+L0wu23QOk0wuqxwet3wBwKhVwmCIO5NWApNZtMiTXwNG/OPY1/pORTqRXB4XaFXCYIg7k1YCu2OvhLLcnejZ/oCTLi4Dqcl2TAJERtBEMSDCEuh3dCWYVZWMlocnYz+Z5biaOVlGFyW0KsEQRD3JiyFlqcpxfQrm9D48AT0Tl+MQxUXoXeS0AiCeDBhK7QZVzej6ZFJ6Ht6CQ5XXCKhEQTxUEhoBEFEDSQ0giCiBhIaQRBRAwmNIIiogYRGEETUQEIjYoNAAD63A3aTDlq1EnK5HDKZjF9yhRIqtRZanR5arQZKhQIyafA1mUzOX9foDLC5XPCFfhwRnpDQiJjA73VDW34T109sx+7kdVi3fgPWJyYhUbiSNmzExk3J2Jy8BZs3b8aGDRuQ9OVrwrV27Xps3bkXWcXlMLKfFfyRRBhCQiNiAo/Tivz07dg8pTsmjR6KyfNWYMWqBCSsW49l82dgwoDO6NiiETp1741p8xdhTdIGQWRrEb9iGcYNGYAhA/tjQ+pplAo2c4d+JhF+kNCImMBpMyJz20os7t0Es2fOwvYTF3A5+wZu3b6Dk7vWYm6Xd/H287/AO583R3zKQeQUl+DGjTxkXczAxsVTMWFwdyzZfxSXbYCNGr+ELSQ0IiZwWI1IT96A5UOGYP/O/ShXG2G0OuBwOlGYsRvx3V/DP37xBP75SVNsP58Fk9sDm90Ok06NOxeO4eC21Ug8m4U0DWD0hn4oEXaQ0IiYwOW0IS/jElK37EdZfmnou0Fk144hqc8beP2XT+Bf9VrgQPYdfDUI85gUkFXewYVyJbJ0gIWEFraQ0IiYwO/zwqDWQVEph9369VZUiuvHsKHvv/DGr57Am/Vb4mBuQeiVEH433C4btHYXtE7ATacCYQsJjYgZ/P4Av76J/JtCy8n/WoT2Jex77I/f6zUiPCChETHPowqNCH9IaETMQ0KLHkhoRMxDQoseSGhEzENCix5IaETMQ0KLHkhoRMxDQoseSGhEzMOEtrHfv/CvXweFdig3P/TKvQgg4HPDbjXDYDDCaLHD7aEeHOECCY2IeeTZX4/QHig0nxM2TQXyrpzBoUOHcTT9IgrKZXB7SWrhAAmNiHkk145iRce/4c9PPoG/f9QEO68X4n7VTXaTFsU5l5F2cDeS1q3GyhUrkXLkFG5LDLC4qISgriGhETGKsHT0++D1uHHr9G5Ma/EqXvzJ9/H3j5sgPv0a5C43PF4vAoGv7qYFoFUqcCXzKi5duIxzqfuwNW4qliUkYsdlEcr0VORZ15DQiNgk4IbTroVUVIRjO9djXJfG+PSfr6Jh266Yk3wAZ24Wo1KqgtP51e5nARh0euTniyCR6aEsvY6Le+YiPmkt4s+U46bKE7qPqCtIaERsEnDCZpahpOA6jh1IwdrlizBnxjQsWLoCSTsP4MT568gvFsNmc4b+ACMAlyA4k9kFnxC4ObRlyD6+CltTtiElW4YyA+2j1TUkNCJG8cLlMEIlr0RB/m3k5ubienY2soWvuTduo6C4AgqlDi7X/aMujaQYpw9sw7ETabgtN8FEAVqdQ0IjYpQA/D6PEHHZhSjMBrvDCYfTBYfDAZvVKlw2OF1u+O7RnYNhNxtQdCsP58+cx+38Ejg8tH8WDpDQCOIxcDtt0EjLceVcOg4eEJamp84h51YxlGr9A6M5onYgoRHEY6CTlSLj0HasXjofC5csReKmLdixLxXpmTehUJlCdxF1BQmNiCKEZaSwXHQXF8FVVISAwx76fvWhqixA6u6NSFi5BKvXJmDTlq1I3nkYR9KzIZYbQncRdQUJjYgafCYDHFlXoF+9EsbkjfCqVaFXqg+zTomC3KvIunQBWVlZuHrtGq5cv4nbRRIYTNUvUOLxIKERUUHA7YYjLwe65Ysg6dwWmlnT4JFKQq9WHz6v8N9jY4cGFn6YYBUiQouVHSq44PVRpUBdQ0IjIh+fD16VEsYdWyHt2h6i5g2gi18uRGjq0A1ErEBCIyIev8kE+6WLUE0eD3GzBlCOHQ77xUz4HY7QHUSsQEIjIhu/D+6yEugTVkPSoTWkwnLTuD0ZPoOejXkK3UTECiQ0InIJBODTqmE5dhjygb0gFpaamrkz4bx9M3QDEWuQ0IiIxW+3wX7lkiCxGRC3aAj5gF6wpp2A32wO3UHEGiQ0IiIJ+LzwyKQwbEqCtFsHSNq3FJadq4TvyVg6GhGjkNCIiMSn18OWcQbKMcMhbtkYqqkT4ci+jgB1jo1pSGhExMFyzpw3b0C3YrEQmbWArHdXmPfths9EpUexDgmNiChYBOZRyGHas0sQWReIWzWGdskCuAoLQncQsQwJjYgo/GYLbJnnoZ4xSVhqNoJi5GDYzp+F30p/PwgSGhFBBLxeuCvKYFi/FrLuHSHt1jFYs6nVCC/SSQBBQiMihgC8GjWsacehGDYQklZNoJk9Ha6beaHXCYKERkQIrBWQ49oVaBbOgaRtc8j794LlyEH4TcbQHQRBQiMigIDHA49YBOO2zZD17MxPNnWrVsBTXkZLTeJrkNCIsMdnNMB25jRUk8dBLCw1VRNHw551GQGXK3QHQQQhoRFhDZOWM/8OdHHLeEWArG93mHbvhM9A3WGJb0NCI8IXn5+XMpkP7oNiQC9I2jSFdsGcYPE5rTSJe0BCI8IWNh+A55zNnAJJ6yZQDOkP28lUqggg7gsJjQhL2EGAu7wMhsQESLt34stNw8b18PLicwrPiHtDQiPCEq9WC6sQjanGjuRpGixKc+ZmCy/QQF/i/pDQiLDDz3LOcrKhXTwP0k5toBjYG5aDe+E30kEA8WBIaERYEfD54BFVwrhzG2S9ugRzzlYshpsVn9NSk3gIJDQirPCbTbCdPQ311ImQtGkG5biRsF/IhN9OMy+Jh0NCI8IHtwvu4kLo18RB1r0T5H17wLRrB3w6XegGgngwJDQiPGADTxRyWI4egnL4IEjbtYSWDTy5kceXoQTxKJDQiLDAb7PBcfkin3gubdscisH9+DQnn5GKz4lHh4RG1D1eL1xlpXzgCVtqyjq3hWH9GrhFlaEbCOLRIKERdQ4bCmw5lcqLz6UdWkE9fSKc17N4ci1BPA4kNKJOCTgdcN7Mg3bpAki7tOWzNc37d9NSk6gSJDSi7ggEeJ8zU8oOyPv1gKRdc2gWzeXF53QQQFQFEhpRZ/gtZp5zppoynpc3qcYMF/49nRelE0RVIKERdQKbfO4qLoI+YXWwz1nvLjBt3wKfWhm6gyAeHxIaUSewgScsLUM1dhSkndtCM3cGHLnZCHioCy1RdUhoRK3jt9vgyLoC9expkLRrAfmgvrAc3g8fDTwhviMkNKJ28ft5nzPj5g2QstmaHVtBv3oF3GUloRsIouqQ0IhahQ08saanQTV5PCRd2kI9YzKP1gJud+gOgqg6JDSi9vB44CoIDTzp0g7y/j1g2ruLis+JaoOERtQOgQC8chlMe3ZBMagfJO1bQrtgNhw3c+GncXRENUFCI2oF3ufsfAZUE8dA3LoplCOG8BbbfptVkF3oJoL4jpDQiJqHHQSUFEGflABp1/aQde8IY/JGeBWK0A0EUT2Q0Igax6fXwXL8MJQTRwtC6wDt/Nlw5uVQ8TlR7ZDQiBol4HbCmXudJ86K2zaDrF9PmA/s5R02CKK6IaERNYfPB7eoguecsT5nfODJ8sVwFRUiQOPoiBqAhEbUGCwKs55K5YNOJLzP2WQ4rlyipSZRY5DQiJrBH4C7qAj6NfHBgwA28CRlB3wadegGgqh+SGhE9cMGnqjVMO/bA8WwgXxYsHbh3OBBgNMZuokgqh8SGlHtsNwy+4VzUE4YDVHzhlAM6Q9r6lH4zWYuO4KoKUhoRPXCDgLKy2BIZDlnHSDt1hGGpHXwSKWhGwii5iChEdUKKz63pB6HcswIvnemXTRPWGrmIuDzh+4giJqDhEZUHwE/nHduQrtkPm+pLevdDaY9KfBqNKEbCKJmIaER1YOw1PRIxTBuZrM1O3KhaZcuhKsgHwE3FZ8TtQMJjagW/CYTbCznbPggiFs0gnriGNgvXeAtgwiitiChEd+dQADu0hIY1q3m0Zm8f0+Ydm3jqRsEUZuQ0IjvDGvQyOozFYP78ZbabGiw89YNqgggah0SGvGdCHjcsF++wPuciRrVg7xvd5gPH6Dic6JOIKERVSbg9cBdUQZ9QjykXdpC1q0DDIlr4RFXIuCnyedE7UNCI6oMm3xuTTsGxfCBwaXmgjnCUjOPqgGIOoOERlQZd1Eh9CuWQNqpNeQDesO0Zye8alXoVYKofUhoRJXwyGUwbkqCrHM7SFo3hW75Erjy7yBAA0+IOoSERjw2AYcD1tOnoBjaH6KGn0E5cggfgMK+TxB1CQmNeCwCfj88FeXQr10FWY+OkA/qC1PKdmGpqQzdQRB1BwmNeCxYCyDLkYOQ9e8FcbtgeZMz/7bwAp1qEnXPQ4Xm8/ngEz6VaxMSWnjCEmUdOdehnjYJlU0+h6xvd1gO7oNPS8XnRHjwQKGZhE/jouJiyORyLrbagoQWhrA+Z6Ul0K1eKURmLSDp3AaGpARh+VlGA0+IsOG+QnM4HMi8cAFxcfFIO3kSzlpsnUxCCz8CdjusacchH9If4tZNoJ41lbfUBsmMCCPuKbRAIICiokLMmDETDRo0xIIFCyAXojT2/dqAhBZmsOJzIVLXrVwKabcOvKMGmxdAOWdEuHFPoXk8Huzfvx+f1/8Cv//9s+jevQcyMzNhZj3hawESWnjhVSpg2poMaed2QnTWFPoVS+G6c5uXPhFEOHFPoalUKsycOQvPPvcH/Pf//BRvvfU2li1fjory8tAdNQsJLXxgU5psGad5rpmoSX0oRgyGLf0k739GEOHGt4TmdLlwXojGOnXpgv/56c/w/R/8EL/81a/RpWtXXLx4Ef5aOPEkoYUHAXYQUCIsNeOWQ9qlHeSD+8GUshMemYwvQwki3PiW0MQSCZYsXYo3hajsyR//BN/7/g/wxH/8J95+5x1s2bIFGrW6xk88SWjhgd9ug+X4EcgH9YGkXQto2MCTm6zPGR0EEOHJ14TGPnQzMjLQrl07PPX07/Djn/wXfvDDH+GJJ/4Df3j+eYwYORKXhCiNnYDWJCS0uofNAXDeyIV61jReq6kYOhDmg/vpIIAIa74mNKPRiHXr1uMf/3gNTz75Yy60Hwlf2bLzZz//BT748COsX58IrVYb+hM1Awmt7uGzNdfEQ9K2GSTtW0KfuFZYfpbwZShBhCt3hebxenHlylUMHDQYTwvR2feFpSYTGrueDEVqv33qaYwaNRq379yG2+0O/cnqh4RWt7COGWzjXzF8EI/OWGWAPesKAo7ay0UkiKpwV2h6gwHxq1bh3ffex89/8Uv88EdPcpn95L/+m1//+b3v869NmzVDyu49UCprrhiZhFaHBPxwsYOA5Yv55HPlqKGwHDoQXGrSQQAR5twVWn5+Pvr064df/+//8cMAttT8UmjsKzscYJL7819exthx45GdnV1jJ54ktLqDzQIw7d4JafeOELdpBu2yRcGcMxp4QkQAXGh6vR5bt27FW2+9gyeeeIJfTGBfCo0J7j/+83uh1/6D76Xt3LmT77nVhNRIaHWD32aD/eJ5KMeOgKjZF8HoLPUYfEZD6A6CCG+40HJycjB27Di89trr+M1vn+IJtc//8Y/CP/+WHwY8++xzeOWvfxO+9wJfjr7+xhtYtGgxCguLaqTGk4RWN7iKC3l5k6RDS8j6dON9zjwSkfAKLTWJyOAJVp+Znp6OMWPGYsCAQZg1ezaWLVuGMWPH4O133sbvnvk9Wrdpi1WrViE+fpUgvvEYMnQolixZigsXLglRWvVnjJPQah92EGAVojHF0AGQdGwNzfzZvPicVQoQRKTAhZadnSMsIXchNS0NEomYb/gfOXIELVu2xIsv/QmTJ0+BVCqBwWBAQUEh0k+fxokTJ5CbdwNmc/WLhoRWuwTcbjhv34RmzjSI2zYPLjUPH4JPoxbWobXbC4+oZh54kBOIutibC42JSiqVQqfT8W+y4vTTp8+gTZt2eOlPf8aMmTP5fhmDpWuwPTe1Ws2/56mBrHESWu3iEYt4npm4fQve68ywNp5PdAIVn0cUfuH3ZTMboJbLIBGJIKqshEgshvghV6Vwb6VYAplCDYPZBq83cnMNQ6ecX/c0K236ptBMtViMTEKrPVh5k+3MKV50zk411dMmwp55Dn6rNXQHESnYDApkZ6QiedVKLJq7AEuWxSMhaQOSNiRizao4LJo/D7NmzcL8BYsRvzoBG4TXNqxfh5XLl2LegkVYsTYZaeevQ2+K3N/93bSNr8KisFOnTqF167ZcaNOnz+BRWW1BQqs93CVF0C1fBGmHVlAMGxjMOZPLH7JUIcIPPzTifOxdH4eRvfqiZ9d+GDNhBpbGxWPpkvkYN7w/mtX/GG/+80189kULDB45ge+Dr1qxFFMnjkW/Pn3Qd9AoJGzaDakQqUUqJLQYxm+1wHxwH+T9ukPaviW0SxbAeesmHQREJB4oK/OxL3kL5s9YivhVW5B66jxu59/G1Yvp2LxyFjp98TFe/dPfUb9xJyxesxkXr1xFwZ2byDidhm0b1iFu8SLsS9kDpSJyJ3iR0GIUv80O+9XLUI0fBXHzBlCOGR7MOWO/Z4rOIo+AC1pFJc6fvYiDRzJxJbsEWoNF+FX6YNGLkbEvCYNaN8Kbr7yOFh0GYvuRs9CbQ6+b9CjLz8OV0yeQdzkTplp81qsbElqM4i4rhS5+Od83YyVOxm2b4a6spOLzSCXggc1iQIVIjsJyFZQ6O7yhA2qPXYXLR7dieIfmePfVt9CmyzDsPXkJNlfo0Cfgh82sh0ZaAa1cDLczcgdGk9BiELaktJ5MhZwVn/Ocs1lwXL8GP00+j2B88HrdsDlcsNg9cHn/HWV7HEGhjegYElrX4V8XmoDf74XHaYfH5RD+OeJPOb8OCS2KEZaTroI70MybyecDKEYMguXYEXjVav4aEamw310wr+zL60tcNiUuHdnytQhtT9pFWAT5fZ3I//2T0GIJQVhMXMYtmyDt3AbSdi2gj1/Gc85YpQARnTy60CIfEloM4bdYYDt3lg88EbdqDPXUCbBnnIa/lqZ5EXUDCY2EFpW4SouhW7EUkrYtIOvXE+b9e+GVy9gGSugOIhohoZHQog42+dxy5CAUA/tA2rENtIsXBAeeUM5Z2BPwenm9bcAjXOwU+jH3OkloJLSogu2POXOuQTV5HMTNGkAxciisqcfhreHZEMR3x6fXCb+7bFjPpsNx7So8Mulj73eS0EhoUYVHIoY+YRUk7ZrzwwB9UgLcFeX8U58IT1jk7Kms4FG1Zt4sqKZPhGl7crB78GOm15DQSGhRg19YalrZwJNhA/mppnb+LNivXOLfJ8ITdkjjzM2GcVMST6uRdGoDxaghMO9NgYd9ED1mO3R3KLF2xF2hBfPQrM4HfKAF/PB5PXAL0aBb+OoRlrmRsNNKQotyXEWFfECwuFUTvn9mOXoYXlXk1upFNX4/PHIZbCdToV04B7LeXQWZtYZi+EAYhKiaLT39rI3XY+6h+VxaXD2xHSM6thCE9jbadhuBA6evwum5dwJtIOCFzaiFuDgfuVlZuF1cCq3LjUgYL01Ci1aEv/Q+4S+/acdWSLt1hKRDK95e21WYz4cIE2EEi34sFr6cNAq/L9W4kZB2aQdZj05Qz5oK84G9/IPJbzKz3l6hP/RwAj4vvG4H9IpCHNu6El0afIy/PPcX1GvWDYkpJyBV6+F0e4Uf+XVBBvweaKVluHLyMLavT8D+42koNdsQCX9rSGhRCht4Yrt4HgqWc9asAVSTxsGWcZoGnoQbgsxYxGw/dxa6FUsg69udf/iwVuj6VSuE39kZeMTi4Gn040RmwpLR47DCpK7ErSvHsXb+ODR493X8/unn8a+PmmLq0kRkXL8DmcYMq8MD/9d+tB86aTkuHNmNxCXzsHX3btwxWBAJhXEktCjFLaoIFp+3bgpZ904w7doezDkTPrWJ8MDvdPDIi+2NqSePFyLpDpB0bgvVxDE8UmNpNT6D8AHkq8LulSA0t90sRGdluHEpDdvWLcPIgX3Rvn1n9B0yFis37MTZrFsQKY289vPrQgNMKimy0g5i8/J52L57JxdaJOy6ktCiEFZkbjlxFPKBvSFp3yLY54wNPKHyprCA5ZL5DDrevkm3Jo5HY9JObfjvS7t8MaynT8FdWcF/j6xFfpVgkZ/HCZtJB4W4FLdyryHjdDqOH0/FqTPncP3GHVRIldCb7XB5fN8K/qxaFfLOnsCuNUuw58Bu5BtJaFWGhPYdED5qnbfy+N4Lm62pGNoflrQT8Go0oRuIuoQlx7rLymA5egjqmVP4QGdpl/ZQjhsFw+YNvOsJyw9kybTflcDdk0onHOy022qFxWLhX212B5zCc+71+oW/Mt+WplWrxo2MVKSsXYK9JLTvBgmt6njVKhg2rOOzNSUdW0GfEA93RRlNPg8D2FR6x/UsGBIToBg+GNL2rSDr3Y23b7IcOwx3SUnYpNMEI7Tj2Ll6MXYfSEGByUp7aFWFhFY1+EHAuTNQDBsAcctGUM+ZBvulC7zVNlF3sGjLK5Xy6gzNgtl8iDNbYrImAYZNicLS8xK8SkVYbQlYtArknDmGHYLQUvan4LbeTBFaVSGhVQ1XWQl0yxdD3LoJPy0zH97PIza2QUzUDX6zhc9pMG7ZDOXoYVxkLL9MMzOUjlFcGPzAqepeWU0g/H0xaaTIyRAitPVx2LV3H3LlWlgi4K8RCS1K8FvMMO1L4blLrMSJ55wV3KmWvRji8WFLfI9cCtuZdGiXLIScRWUsHWNIX+jXxvNRgTwqC8etAD6HQInC3Ms4dfQAP0TIl2pg/UoX3HCFhBYFsKWK48olqCaMgqhJfR4J2M6e5oXNRO3DOpuwDxOWKqOaMh7Szm0h7doeqmkTYd6zEy4hYuPpGGHatokNTnHazdAoJCgrLkJpuQhqgwWuL4cUhDEktCjAK5NCvyYOkjZNIenSDobNSXzPhqKz2ser1cB+8QLPAZQP6M3zyuR9e/AozXr6JDxS8WMXl9c+Afh9Xnjcwgel8L/V4XDC7fEK/qUIrUqQ0B4d9nDYTqVB3r8nxC0aQbNwDhw51yjnrJbxO+xwl5fCfGg/VNMn8XIzFpkpx4+GcetmOPNyg1FZOO2VRSEktAjHlX+HH/vzPmdCRMBma3p11OesNvEb9XBcu8LTZeTDBvBkZnaSqV00D5bjR3neWfhHZdEBCS2CYXtkbOCJpH1LiNs2g371SuHhKQl2NSVqHtZWRyyCVZCWZu4MyHp25jJTDgt2x7Bfuwo2lCZQldIlokqQ0CIU9onPTsoUwwehstFnvBut/fIF+M2m0B1EjeH3B7tj3MyDMXkDlKOGQdqlLT9h1syaxpsyuktLeZJslUuXiCpBQotQPKJK3p1B3LIxpEJkYNqzi29I08CTmoVFvx6ZBLaz6dAuXQBZry68cSbrWcYiZPvF8/CplXQgU0eQ0CIQlohpPXpYiAg6QtSiIbSC2Fz5t0lmNYzfZoXzzi2Ydm6FcvxI3uZH2rE11JPGwrQ3Bc78O/weou4goUUawhKGdS7VTJsEceN6vFMD65nlM9be7yfmYN0xdFoh+sqELn4ZFEP68eRlVo3BomQ761kmk8IvPDdE3UJCizC8GjUvbpa0bsoPAwzrE+CRSITwgQ4CagK/0wl3WSnfF1NPnchLl1iun3LMcBi3boLz1g1epUHRcXhAQosgWNdSKys+H9gbooaf8g1oZ3Y2/A6arVntCJGwTytEZdeuQr9ujRCV9ecfIqxZpnrhHFjSjgsfJCLaKwszSGgRhKukGJrF83jOGasNZANP/CYTnaRVN4Kk3KJKWI8dhmbBHEgFiUnaNOPLe8OmJNivZ8HLysrofQ87SGgRAh94sjcFko6tudB0K5fBXVIUepWoLljai/P2Td5skY3+Y8t6NrCE1WFaDh+820mWCE9IaBEAm95jv3KZ79tU1v+IDz5h9YKUc1Z9sFIxVhNrO30K2sXzeVQmFqIy1hab1cnaL1+ErxafAaJqkNAiAK9CzoudRc0bQNKpLYzbNgdbatOSp1pgm/quW7dg2r2TT8diJ5iSdi2gmjqBDzBxFRfxDhpE+ENCC3NYF1rWpYGV1VQ2+JQPDWa5UI8zn5G4D8J7yBpg2jIzeP84VuAvadsc0p6doF22iI8BZCPmAnSCGTGQ0MIZIQJz3b7FTzNFDT6BTHjgrGdOhV+H00hDeO/YB4W7pJh3jWX7Y3wYM6vDHDMMxu3JcBbc4SkbRGRBQgtjvMJ7zlrPSFo1hlhYburWxvFNaeI7wKMyNRxZrDvGesgH94O4VRPIenWFZv5sWE+e4Et8GioTmZDQwhT2QLElj3zIAFR++h5UE0bDkXudTti+A2zj313ORsgdhmb2dEh7dBJk1phLzbAxUXh/s+EzGUN3E5EICS1M8UjE/LRN1Kgen6htPrhXWCbF4LK7OmClS0YDH7ZsSN4AxdgRwTpMNqV8+iQ+Qo61AaIk2ciHhBaG+M1mWFOPCg9cO34QwCY5uYsp56wqBJwOLitbxmnoQt0xxO1bCFFZX94dgzVmZLKj0qXogIQWbgQAZ851qCaN5UtNef/esF84zzexiccgEAhGZTfyYNy2RViyj+FJsiwyY73jzPv38EMBisqiCxJamOHVamFIWM2XmpKWjfnejlepDL1KPBIeD7xyGe9CootbDvnAvhC3bs43/ll6BvuAYO8znRRHHyS0MIIVn9vOnYW8X09UfvIu1DOm8JkBFEU8KgGe0uIuLQmmY0ydwDvJ8inlo4bBtH0LXEUFNEk+iiGhhRGe8lJo5sxAZf0PefNGa+pxBNw0velR4IN9VQpeovRldwxx2xb8fdQunscnY1GkG/2Q0MIEv8kIy/49kLRqgsovPuKNBFkfLuLhsC6xrtJimFl3jIVzgkmyrZtBMWwQ747hvJkX7FlGS8yoh4QWDvj9fPK5YsRAVLz/BuRD+sGRncVP6Ij7w/r7s069zpxrgrgSoRg5mHcjYfWubLluOXE0mI7hoU6yscJ9hXby5Em0bNkaL7z4EqZNm05Cq0FYPSFLzaio/4GwTGoO067twYiCuC9+u41XTVhPHudLSjYHkxWVK1g6xtpVcFy/RntlMcgDhdaqVRu8+NKfSGg1SEB46GxnTvERaBWfvg/Novl8U5uWR/eGR2UGISq7mQtTyg6oxo/inTH4sBLWs+zgXngqymlyfIxyT6F5PB6cPZuBTp274K9/+ztmzZpNQqsh3Pm3oZ4yARUfvMnbO7NUA1oi3Rv2vnhkMljPnIZ2+SJerC9u3QSy3l2hX7GUzyX1adShu4lY5J5C8wmfgjdu3MBUITJr2ao11qxNgNFYe80EY0VoLNIwbdkEUYNPIfr8YxjWrYFHLgu9StzF7+fNLFkKi3nvbqimToSka3tIOrSEcuwImHfvDCbJ0gdBzHNPobEe9Wq1GseOHUdcXDw/ILDVYqZ6LAgt4HLDfu4s3/Nh0RlbOrkKCyjn7BsE3G6ebmG/ehmG9Wv4+yVp05TvmbFaVzZCjkdl9L4RAvcUGsMr/AVRCn+RCgsKIRPCfLYMrS1iQWhe4T3VLpyLys8+4Ps/bExawEtNG79KgPUsKyqE+cA+qGdOgZRFZYLMlMMH8bZKrls3EaDuI8RXuK/QvoRFa7U9VSjahcYGnliOH4W0U2suNDas1l1RHnqVgM8Lr1YNx7Us3rOMzVBgU5dYsb5m1nRY04I9y6hrL/FNHiq0uiCqhSZ8OLAHle39lL/3BuS9u8Nx+RJfWsU87MNTiLi8EhFs6WnQLpjLD0ok7VoKS83+MCSugyM3B37hA4Eg7gUJrTYRHlifWs1Lcyo//wiipl/AJCyd/AZ6QNnGv0+ngzM3G8bkjYLwhwf7+3dsA/X0ycKS/BA8YjFrRkIQ94WEVouwEh02Jk0+oLew1HwfmrnT4amkpSYryvdIJbCdTefLb96zrGUjyHp3C/Ysy2I9ywTp1/LWBxF5kNBqEdb+WTN7Gu9zxobXWlOPCZaL7X0g3h2jMD+YJDthNKQdWgWHlUwYBdO+FLjKS2njn3hkBKEFN/0DAT/87GvoBfY9P8v/+crlu/vP/76vJohGofm0Gpj27IK4RUNU1nsf+lUr4BFVhl6NPVgXEY9SAXtmhhCFreBJsjwdo2cXnjRrv3g+2EmWIB6DJ+Bzw+mwQi88cHK5DFKpVLiErxIZJBL2z/++JBIJxGIxxMJrUqUWeosdnho4aYo2obHWNjznbOhAnnOmGD4Qzps3YjLnjH9QWq3BEXKHD0A9fSLvJMuWmMrRQ2HkPcvyKSojqsQTcBqhEpfi0rl07Nm1DUnr1mHduvVI2rAZW7Zux/btO7Bjx07+ddvWrdi8aQMSNyZjY8pxZGQXQmeu/oTbqBKaENGyYbX6+BWo/OJjXnfIpnHH5PQmIbL36fVwXL0C/brVkA/szUf0sWElmvmz+EBlXilBe2VEFXkCDgMUlUU4c/wAls8ci26tGqBRo8boMXAs5ixbh4TEjdi4cRM2bNiIpMT1WLVsHiZPmoC+o+di5dYTKJNpUN3jJaJJaGwz25p2nNcbspNN7ZIFwlKzgkcqsQSLuFiunfXEUd7Ekk2yErdsDOWwATBu3gBn/m34XTTYl/huCEtOD1wOG5fagdVT0Pa9F/Cnl/6E9kPnIiWjEPllEr70ZMtNibgCRTkZSNm8GoPHzMLc1SkorJDDW80PZ9QITXhfnLduQjlpLMo/epvPgWSdNWJqqSn8f2VSZ00WjVs2QTFsIF9eSjsJUdmsacEkWSEqo8G+RHVw95Qz4DIja88SdP/oOfzh2efQeVw8zpV78a0mLAE7ygtysDF5F7bvTYVIpoaPhPZthPeEZbOznCpR43oQNfqUNyH0qlShG6KfgNfDGyxaT52AZu5MXrrEcu9k/XpAn7Aajpzr1PeNqFbuCs1rNyD7wEr0++JlvPjCi4LQVuJMkQ3mewQTFqsN+fnFKCgsgdli5aej1Uk0CI0tsVi2u2JwP17epJ46Ae7yGGmpLfx9YLNFXXduw7hzKxRjh/Plpbh1U6gmjuF1q2yQMuttRhDVyV2heWx6ZB+MQ/+Gf8VLL76ELoLQThfaYLpbkeMXrGeF3W6D0eqGyWKHQ3hoWauh6ibiheb3wSss0XVLF0HU4BO+6W05uC8mBp7wBoxaDeyXLkC7YnEwSbZ5A76HqItfDsfVy7xtEm38EzXB14R2nUVoDV7hQus8lgnNCtOXWxseCxyKWygtuIlbZRrorDW3DxTpQvNq1HyMGutvX1nvA/5gx0LOGUvHcBUWwrR7J2+HJG4lRGXCpRwzjJ/s8qEvfppQTtQc3xJa/8Z/x4t//COa95uGradu4UaRCBKpDEW5F3Bx3xrs3rEVhy4UoUwtRGc19CEbyULjOWeXL0IxYjAqPnyLpybYr1yK7geZpaaw7hhC9KVbHccH+ooafsqFrl0yH7YL53idJkVlRE3zdaEJS87Bzf+J5597Bq9/2gqDJszH3MUrEBcfhxnjh6Ffu4YYNGI8NhzNQZHSTkL7Buz00iOV8pY34qZfQNymGS/p8RmiOOOdtfqRSvi+GOvpL27TVFhiNoRy2EA+2NddWAB/LTYHJWKbbwutGRPa7/Gvem0wdMoSLFoej9Wr4jB70gj0adsAA4aNw8ZjOSgmoX0Ln7DkYvWZ8oF9UPn5x1DPmQG3WBy1kQnbC3NkX+OdZOWsv3+zL3hbbO28WbCdPcOTaAmiNvn2krPhX/HiCy+gzZC52HepEuVyLbRaDcRF2cjcG48dWzbhQGYhSpU2eGtoFRWRQvP54CougnrmVN5JQ9q1A8xHD0dlzhk73GC5YyyHjP3/ZSeYlQ0+4VJjqSnO2zfht9tDdxNE7fHtQ4EvXsZLL/0J3SetwQWRH/9+HF1wK3NRcCMLWXdkkOkc8JHQQgR4+xvjtmSIWjTiJU6s55mHdVWNMlg2v/POLRiSN/JIVNSoPheaevokWI4f4e8DpWMQdcW3hfbNU867aRuC2tx6GPUaKDQWWOzeGltJRZrQAsJDbj2TDsWQfqj47AMox40UHvrboVejAzbvgCUFW8+ehmbhXEg6tRFkVo/3LGNLThaV0aR3oq55gNBWIL3ADOPXUqdY6yDhL7aw1mQthGqKSBIaO9VkSaL6tat5vpW0S3uY9u+Dzxw9GfBsaK+7tJQfcCiGDkAlq3xo9gVUE8fCcjiUJEulS0QYcFdoXpsBOQfjQkILVgqcLrTAVAe5oJEkNJaOYDmwl/e+ZzlnmoXz4JFJoyZNw6fXwX7hPE+/kHRoxf8/shIm3YrFPB2FepYR4cRdofnsBlzZvRjdP34ef3juWbQZsQgnbhlJaA+ADTZxZF+HcsxwVHz0NmR9e/AlWTScafLIs7KCVzioxo2AuNnnqGz4KZ/AZD6wBx5xJQK+6DvwICKbu0JzGFVIS5yONm8+jd8/8wwa9Z2OXRdFUFtqfykRCUJjDzNrh2PYlMQ3xSWtm8K4c1swgTTCCTiccOblQbdqBWRdO0BU/0NIO7fhrY9YSROL2ihJlghHnoDbCr1Khpwr57B+4UR0a/oRPv30U3QYMB7LtxxD5vUCKHUmuGvqSPMeRITQ2EHAqVTIB/flp5psMhGbGRDJsB5tbLKS5ehhISobHewS8sUnvMCeJcm6Sop5egpBhCtPwKaGqDAPqUf2Y2PiOsTHrcSKlSuxMn4N1m/agYOp51FQLoPd46u1pVS4Cy3gcfO6RLavxEp8ZN078kx5NtUpUmF5YywdQ5+YwPv6V374Nj/k0MydAfv5DCHy1FJURoQ9T8Bjh1mvgaiyHCVl5agQifncgHLhgS0pKUWFWAa9yQpPLW5yh7vQ2KmecdtmSNo1h+jzj6CPXw6vWhWxDzzvqnv6FNTTJkHUrAFfYsr79uC93Fz5twTZUekSERnc3UMLJ8JZaGyGpO3ieT7ohFUEKEcM5pPQIxE218BdXATDlo1cYKxvm7hpA6gnj4ftVFowKiOICIKE9hiwMia2T6bfsA7its14+gI7BfRHYPG5z2zio+JYJ1lRk3qo+OBfkHRpD8O6tXDeyEOAojIiAiGhPQZ+iwWWQwcg7d2NDzxhQ4PZwJNIW2q6Kytg3LUd8qGsm+77EDX8BKoJo/hYOdYym0qXiEiFhPaI8FSGG7lQTR6Hyk/f5x1Y2TSnSJpUxNoYseWxdtkiSNq24AOP2aRy3arlfIgJlS4RkQ4J7VHw++EuLYEhMUEQQXM+4duYvCFy9piECJINbDEf2MenLrGorLLeh1COGgrzvhQhYivnScIEEemQ0B4BPvDkbDoUQ/tD1OgzqKZNgPP2jdCr4Q3b+Gc9y3SrVkLSoTUqPnxbEHIzaBfOhf382WCSLEFECSS0h8AiF9Z1VRe3LDhPsncXWI4dDg76CGPYAQZLJWHLYtWksbyYnHUCkQ/qC9PuHbysiSUHE0Q0QUJ7CB6Fgvc5Y100RE3qQ7tsIW85HdbF5wE/XAX5vK2PtFt7vlcmFpbKmvmzYcs4A69KyZehBBFtkNAeADvVZANPlGNH8IoA5cghsF84F9blP0xWbDo7a7jIBFz56buQ9+sBQ1ICrwRgeXQEEa2Q0O4DS11wFRXCsG4Nn14k7d6Rj2IL14MA1rPMVVoC4/ZkyPv3EkT2niC0z3n2v+3MSd4ym00yJ4hohoR2H1h0Zj1xFIpBfSBq+gXPOXPl3wnLpVrAbuc9y9RzZ/ClJetZxgb86tevhiM3G36TMXQnQUQ3JLR7wGoXnTnZ0M6dCXHTz3lZEJvm5DebQneEB18WyZv37IJ8cD9U1P+A12Iqx40IJsnKpWEpYIKoKUho34AtNd3lpTAkroW0czuegMqWnV6lInRHeMAiSCdLx1i2kBfJswaT0s5toVu9EvasK/DqdJTxT8QcJLRv4DOZYDt3Fqoxw4PTjKZOgCPralhFOmyalHn/XqjYYUWjz/jFk2T3pMBVXAg/ZfwTMQoJ7Suw3C02vUgXv5z3z2dLTYuwdPOGSfIpW/I6bt2Abm08TyOp/OITSNq3gnbRPDguX4JfkDH8FJURsQsJ7UtYeZBaBVPKdsj6dONJtEwUrL1OOERn7HTVmpYK5aSxvLc/m8yuGDYAxh1b4bpzGz5hCUoQsQ4JLYTPZOTtdFRTxkPcoiEUIwfDxgae2Oq2jQ7bB2NRo2FDoiDa7qio9wFfCmvmzIAl7XhwwhTtlREEh4QmwAaeuIoKoF8Tx3ucyXp25vlcPo2mzqIz1t/fq9Xy/Tz17GkQt27K+/uzyVLGzUlwFRbAbzELS8zoGJdHENUBCU2A1WVaTp6AYsQgfmLImh46crIFq9SRLASZuSsqeMkVExjrvcaWwJoZk2E5fiTYs8xVB/MFCSLMiXmhsT5njutZ0CycC3GbZpAP6sMTalmf/brAp9fDfiGTD2BhUVnFp+8Fk2RXLYcj6zIlyRLEA4htoQlLTU9lJYwb10MqLDNZiRNbdvIutLUM6+rBhq+Y9+3hNaPiJvUhavgZVONHCVHZYd6zzG9nU6UoUZYg7kdMC431ArNlnIZq4liepqGeOpEP0q3tPC42pdyRcw265Yt4cqzo848h69ZB+PclvDjeq1FTOgZBPAKxKzR2enjnFm8/zXK65P17BovP+VTw0D01TMDvDw72PXFMiMRG8gRZFpkphw3k+2eu4iLqJEsQj0FsCo2dIKqUMB/YC8Xgvjw60y6eD+et2utCG3DY4bx9C/r1ayHt3RWVn73HDyTY3hnrJOuRSklmBPGYxKTQeHlT5jloZk7hElGMHApb+kn4zObQHTWLT6uB9eQJ3rOMbfxXNvoU8oG9YdyykQ8rYSPmwiGZlyAijZgTGitvchUXQ5+wCrIenXjOmWFTErwyWeiOmsNvs8JdVMDFJR/Qiy8xJe1a8BkFLG2EVSpQzzKCqDoxJzSvEB0xeSjHjeTdNDTzZvLRbjXayVWItljpki0zg7fBZkOKKxt+Euwku2E9HNevwmvQ8WRagiCqTkwJLeB0wZ59DZrF8yDt1Abywf1hOXywRgee8HZEJcUw7dwKxeihvIssK61STx7H9/DcZSXUFpsgqomYERoTi0dUCcPWTZD17c6jM92qFbzdjvBq8KbqxO/nJ6b2K5egW7GEt/AWCSKTCV/1ccvgFKJClkRLS0yCqD5iRmis4aE1/SRUUyZA2qUdL0JnBwO8HrKa8btdPDmXRWAqYWnLisnFrZpAOWE0TCk74CrMh7+Oi94JIhqJCaGxKMhVcAe6+BX8IEA+sBdMO7bCUwPj3FhPMkfWFRjWrYa8Tze+xGQF72ywr/VUGjxyGc+BIwii+ol+oQnCYh1eLYf2QzFsUFAuS+bDmZddrcs9XroklfA6UM3MqTwKlLRsBMXwQTBu3wLXnVvBpF3qjkEQNUbUC43llvGcs9kz+EGAcvRQWFKPwWcwhO747rDlI8sfYyeWPFG3dVNeuqSZO4NXAbjFlfBTdwyCqHGiWmg856y0GPrEtZD17sa7VhiS1sFdUV49S01W3C4Vw5KeBs28WbwOk7X5UQzpD33CajiuXQ117aB0DIKoDaJaaD6Nmkdjyolj+CmjZs50OK5e/u4b8oKfWJIsa33NlpOKMcMhadNciABbQz1jCixHD/M6TNr4J4jaJWqFxpZ4zrwcaJcu5DJj/ffN+3bD+1270Ap/1KdWw3b+LP/ZLAWE91Eb0Bv61Stgv5gJr1LJo0OCIGqXqBQaT2YVVfJkVlYjyYSmi18GpxBRBbxVP2H0W4WorLCAD/ZVTRzNi9rZ5v/ddIyiwmBURitMgqgTolJoLPPfmp4G1bSJkHZtB9XkcbCdTedF6VXC7+c9yXiS7JqVgiT7CEvMZjw6Y0mz1jOn4JZQW2yCqGuiTmgBjxuugnxBPHGQ9e7Ki8CNWzfzbrBVqZVk6RjsEIGlfWhmTeVpH5IOraEcPUz4uRvhzL3OT0xZbzOCIOqW6BKaICyvMphzphw1DNIenfhsTWdONgKOx+xC6/PzgnI2b8CQmMDzyaSd20DWqyu08+fAykbIsajMYQ/9AYIg6pqoEprPauEttNnUJmm3DlCOHQ7LkYO87Olx8DudcItEsJ44Bu282ZB17xTMYRszDIZNibwSgPU0oyRZgggvokZovLyppBiGjYmQ9evJl5v69WvgLi58rOUgGzjMRtgZkjcJAhsBaUchKmNJsrOnwXxwL9wlRfDbKR2DIMKRqBGaV1geWo4f5QNPpEJExYbz2i5mPnLxOdvQZ22vWQE7T8fo34t35JAPZUmyq+C4cklYzioAD7XFJohwJSqEFnA54biZB93yxTwyUwwfCPPunfAqZHxf7YEILzPpsYEpxl07BCGOEZarHSHr0Zm3yDbu2QVn/m3hHuG/v64GDxME8UhEvtCE5SSbJG4SZMRKjuS9OkO3cilct27wE88HIixTvXI57OfOQhe/PJiO0bEV5IP6cjnaTp+CRyblY+YIggh/Il5ofODJ2XQhmprM97rUk8fCejIV/gd1oRWiNpYAy/r7Ww7u5d0x5EJkx1IyWITGEnKdebnwscME2vgniIghooXGIifWLFHPeo/17R7MOUveAHd56X1FFPD7ePkTq+k0rF8D5aghkPG5nL2gWTQX1tTj8FSUP36aB0EQdU5EC82rVgdzzsYMh7RHZ2gWzOEdLvz2e+eGse+z7huseFw7dyZvwMiiOuXo4bz1j511x6CeZQQRsUSs0Fi3C8e1K9DOn8038BVjRsB86ACX3LfwhaIyliS7eQNU40ZB1rUDj+q082bxXDU2W4C6YxBEZBORQmOdLNi0pC/nW8r6dId+bTwvefpml4sA7+9fCUvqCWgXL+BdMWRd20M5bBAMCatgv3Cep2PQxj9BRD4RKTSvsCxkWfyqSWN5RYB65hTYzp39es6ZsGxkNZbOG7kwbUvm9/LBwr278XQM894ULkCejkEQRFQQEUI7woTmConH7YbjRh5PzZD16cb7nJl27+D9/L+ERWVe4d9tZ09DF7cciiH9IOveAYqhA6BbtZKfirIkWlZ4ThBE9BAZQqu8DIM3uNHvUygEge3iybOspbZ22SK4bt64u9RkEZcr/zbMe1J491hZzy58FqZaiNCM25PhyM0NzhP4Lk0eCYIISyJEaFeCQrPa4cw8z5eYbPmo4jlnJ4Lte1iSrEbF98QMCauhGDkkOLJuQG/oli6E7WQq30vzO2hKOUFEK+EvtLPLcER0BXqbAf7iEpiSEiDv3wPywX1h2JzEC9JZQbm7vAyWI4f4sBIFK04XZKacMAqGTUn8dNOn1fJOtgRBRC9hL7R+51fyJadGWg7nsaPQjB/F6zXZbE2bEI25Kyt47hmTG2u6KOvWEfJ+PaCZH0zHcJcWC1EZ9SwjiFggAoQWh0P5pyG7eAbmZUug7NuDt/Ux7dwmLC/P8bmX2iUL+TzMYJLsUD62jrXL5sNKfDSshCBihfAVWlYymh6bgj7pi7EvYwfKk1ZBO2wQlCztYs50GLclw7BxPdTTJgZbbfftDvWsqbAc2MPLoVizR9r4J4jYImyFNvPaFjQ7PhW99k/GzqSZKBg1AMr2rQWhdYVq0jhejM66a7C9MnbiqV+1ArbzGfAq5N9KriUIIjYIS6Hd0JVjVvY2tD40Ef3W9MWOsR1xu0V9yD//FIr2LaHo2ZVfbPmpnTYJlt274Ll1CzBTkixBxDJhKbSbhkrMvbYVXbePxOhJTbG/9Xu48/arkL75miC1j6Fo1wra4YNgWrkMzvRTCIglgJtKlwgi1nkkoQWE/7j9Xlg9DpjcNhjdVuFr9V9mj134akOm8g7mZyRg9NIeWN7pLZx9+yXceeV5FL7xCvKbfIqiEf0g2rAKyivnoFNJYHRaYPI5YfLYvvUz6aKLrvC/jC7h+ReefYfXBZ+/6ulVjyQ0JjOZTYOrygKcFF9DmjhL+Fr9V7osB6ek17Hx5mHM3jENi0c2wd5P/oLLf3sWF//xBxxr8Ab2DG2Dfetm4Oi5XThRdA4nhftPSkKX8L8teN3759NFF13heaWKruKsJAf5ugoYXBb4q3ig90hCswiR2WUhalqam4Jh5+IwJGMFhrLr3MrqvS6swtDMeAw6NAMTF3RFYsf3kPbOi0gVro1NX8W0ofUxdHlPDNw3BUPPLsewi6uD1/m4e/88uuiiKwKuFRgkPM/jLyZge9EplJpk8FQxSnskobFw8JT4OsZdXIuWR6eg+ZFJ/GpxdHK1Xs1OTEXzY1PQYesQjJrWEvFd3sPOFm8iqXd9zJjRHr2TBqHtvnFocXwqWpyYJnydcs+fQxdddEXO1fzoJDQ5PAGd02Zj5Y29uKUr56vCqvBIQrN67MhWF2H97SOYfmUjpl7ZwK9pwj9X63UtGdOubsKEYwsxJq4fJk5ohrlT2mFZ4ngsTY3DvCubMYPdk7VZuDYJ997jZ9BFF10Rd02+nIR517dhb9l5lJvl8NZkhOYRbKl1mlBkECNXU4yc0JWrKaneS1vKvx4oSMfko4vQZeMgDNk1CRuv70Wm/BZyDeXI1QXvYf87gtc3fgZddNEVcVe2uhg3tGWotCj54WCN7qHVNje15bxSoMmxyehzdikvTje6qR6TIIgHE5ZCu62vxMzrW9H4+BT0yViGo+IsWDzU9ocgiAcTlkL7anH6vVpwEwRB3IvvJjQ2sNfng8/rhTd0+Xz+71wTTkIjCKIqVFlofq8bNrMBGpUCUrEYlZWVEIklkMnV0JuscHmqnu1LQiMIoio8ttACfo8gMj1klaW4mZ2F82fTkXrsKA4fPozDR48j9eQZXMzKQWG5BBqjIDbv4w/tJaE9CkIY7BeiY48LLqcDDge7nHA4nbDb7bBZbXDYHfB4PFU+MSKISOOxhOZzWaGoLMLV8+k4cmAfdu3chZ382okdO3Zg2/bt2LZ1C7Zs2Yodew4g7dxV5FfIYbQ5hYcq9EMeARKaT/jgcMHh9QiX/z7vnfBB4bHBZlBCXFGMWzfycC0rC1f5dR3ZuTdRVFwGjVYHl9vL9EcQUc8jC83vFmRWmoej29dhztSJmDx9PuI3pODEmUvIuXkHhYWFuH0zB5fOHseWhOWYPmk8Jkybi/W7juFagQhG+6NHCjEvNLcRVl0FCiUylKitcHruFeV6AYcWemkBLmekYvO6VZg9bTKmTJ6C2QuXI2HzLhw7dRZFpRWwPOYHSqwToIg2Ynk0ofmdUJVmY3/SEgzt1RUduvbH5IUJOHI+FxVKA1xfbpf53TCrRbh+5iBWzRmL3l06oPuAMViyYT8u50uESM39SJFCrAvNqbiNnNTNWLV5D7aeLYTGcq+UFeFNdxmF97sS2RdOY/mUUWjxwRt4/+230anfCKxI3ov0i9dQKZHD7nBR897HwOfzwSks39nS3c0m6tObFzE8gtACsGvKcGr7MvRrXR/vf9IYfSfH4/CFW9AKD5r3mx/9fi+cJiXunN+HeaN74ovP6qF51xFYtvUEbldq4HyEEq1YF5ro6iHEj+qA+k27YcD8FORL9aFXvorwvgd8/HBGJxdh1/zxaPzn3+DPzz2DXiMnI/V6IRRGG38g/RSePRZutxslxSXIzLyA3Lw8KBQKLje///H3g4na5aFCC/hcKLx4EDP6NsXrLz6Hdxt2xbLdF1CieXCiq8dUiYOJc9Dqk7fxt3+8h05DZ+Ng5i2oLA+P0mJaaF4jzu2JQ9sPXsbPfv471Os0Bmk5ZbA94NDYbdHjVNxUtH35V3j597/FiMmzcUOkAs2FrxouQWh79uxF//4DMGnyZOzZuxc5ublQyOWwWCxceER48hChBeCzK3A4aTYa//NFPP1/z6NVv6lIzRNB7wrdcl9cyE5PwYgOn+Nvf3we7zfshCXbTuCWxAD3Qz7oYlVofq8ThqIM7Igbi88/fg0//a+f4K/vNsbcbWdRoLn/Q+Q0qHFu7TR0++dTeO2F32PctNm4UymHiwKKKsH20JKTt+DDDz7E62/8C23btediS0xMxPETqci7cQNqjYafINN+W3jxEKF54FbnImFGf/zlqafxP//7D3QftwLZIrWgq4dTfDUN8we3wbsv/x6vvlsfIxYn48xNMSwPedJiVWhWrQTnk+dj3ex+GCEs19/4x5/xm+dfR8MhcThwpUL4ILj3w8OEdl4QWvfXBaG9yIQ2B3cq5HBWPRUw5rlw4QL69OmD5//4An76s5/juT88j3fefQ/duvfA/AULeZrSDUFsIpHw4a7TweV6lCeCqGkeLLSADfaSk1g4vD3+71e/w5PPfICBMxJRJNc+0ua+KPcc1kzohs9f/yP+8sYH6Do5HvsvFUJnf/BGWmwKzQdRQRbmjh6ChbOnYf+RXRjWuy2e/vXT+OObrbFo8wlohPftXu/73QgtJLSxgtBuV4PQ2OY4y28zmy0wGo0xcZlMJn6xU/slS5filb/+DU888QS/nvzxT/DM75/Fm2+9jZatWmHEyJGIi4vHCSFqKygohFarg93u4EtS2m+rGx4iNBOst49gzqBW+OWvn8EPn/8Eg2dvRJlCG7rhwchuZiJpai80evNP+PPr76PduGVIybwDre3BexCxKDSvpQKXTmzFwBEzsGTzSZSLKnBo3QzU/8tv8czTL6HH+GW4VKaHzfttpdWU0AwGA3Jzc4Vo5Ai2b9+Brdu2CV+3R/XFcyqFa7Ow5Bw7bjxefuWv+I///B5++KMnudB+9OSP+fXjn/wXnnr6d3jvvffRu3cfLBCitl27dvODhOKSEuFDwEzL0TrgIUtOC2yFqZg/rB3+939/hx89K0RoM4MR2qN8/khvnMf6yT3R8F8v4eV/fYguk+Ow71IB9PYHT2iKPaH5Ibq8HzuWjsXUFVuxL88Au8MOVdZOzOzyLv707DN4rflgLDucB7HeEfoz/6amhFZeXo71iYno2q07PqtXHx9/8inq1a8f1Vf9zz9HPeGq//kXeOvtd/Cb3z7FBcZkxiTGxPa97/+AS+77P/ghX44ysf391X+gefMWmDJlGg4eOgSxWMwjXKJ2eYjQ3HDKryJ+Sm/88TdP4b//7zX0mLASOSI1HqWZT0X2GawY3QmfvPo8Xnu3HoYu2IRTeSKYaQ/t6/jMOJy4BOP79cKmgxkot7GNaeFhMBTh8JpxePfVl/DT599DxwkJuFoo+9ays6aEVlZWhnXr1gtC6yY87J/jk08/4w98VF9ffIHP+dUAb7/zLn771NN3ozMmtK9Gaez6wQ9/hP/83vfx81/8Am8JS9ERI0Zi3/79XGi07Kx9HiI0YSlkFWH3qqn4+OXn8X+/+iNa9puKE3mV0D305NqHW+cPYWrvZnjrlZfwYcP2WLjpKPIqdP9OxL0PsSS0gM8OkygLS+fORc/Bs5F+Of8rwvIj99xe9Gr0Dn7137/C2w16YMep69B/472vCaGx5ZJOp0fWtWv8Ad2ydSuSt2zhy85ovlj5Hlt6btq0CWPGjrvnkvNJQWw/+/kv+H7a3/7+Kt7/4EO0a98eU6dOw+7du3Hr9m2YzCZactYBDxUae+Cyjm3G0Bbv4ZVnf48PW/TG6kNXUaKxP/BgwOfS48y+9ejToh7++Y930LbPROw5nQ258eFlOLEkNJuyGNl7FmLO7NmYvvkc8mXm0CtBdGXXsHliR7z73M/xwmsfYeyag7gmtcD9FVlVSWhC9BDweYXLd98Hj6UlsLwrnU7H0xTYpYmBSytcRUXFWLVqNV775+v8QIBFYv/z05/hF7/8FZ7+3TN8idmiZUtMmDiJyz4zM1P4M0VQKpWw2my03KwjHio0hqY8FynLx6DVx6/htXfqo9/09Ui7ViosHYWHIXTPV/G57JAXXkTC3FFoWr8eGrTuizlr9yGvTAmH7+FheCwJrSw3A8tG9sDsuYuQXmL6VvTlN8lRmLoK/Zu9gd8+/zLe6zING1JvwOj490nxN4XG0zYekofmtVlhVUph02rgcToFqYVeIDj5+QWYOGkyXnzpzzxC+8Uvf4m//u3vaNS4MfoPGIj58+cjRYjGrl2/zg9PiPDgkYTm99lQlnMSy6cMRKN69dGkw2AsTtqHawWVUOnNcDhd/Kja6bTDYjKg4k4Wjm1ZjtH9OqNdp96YujwZZ3LLobM+dJ3KiQ2hBRBwK5FxbCd69hyGBXE7oHEIUVPo1bsE/LBpbgnvfR+88Lvf4TcvfYZR87egRGW+ezDjMoaEFkqsHTv14Ym1WqkY+ZevoOxWPswG4WdRedTXYCe7zVu0xCt//TuPxho2aoSRo0bxZXdW1jUeibGUFtbUlAgfHkloDI/DgMKrJ7F63gT06tIJPQeMxoLV25B6/hoKy0SQyWSoKC3AtXMnkLxqAcYPG4iBQ8dg4bodOJdXCp3NA98jPjOxIDS/xwFl7mHsXD0Dg2dvwPYzRaFX7oHfhlObF6LFa8/iqV8/g+b9JuP4TTEMruAb6jZqcHbNNHT5x2/w6vO/w+jJM3GjTAJ7qEsHW1KyTie820nAC7/bhJzsG9i2Kx1pZ25AzuT48MA5ZnAKEevm5GS0adMWffr2w+o1a5CamsrrOpnISGLhyyMLjeOxovJmJnZvWIlZ02dg5vzlSNqagsPH0nDq9GmcOHYYu5LXY9nCuZg9bymSUo4jp0QG01eWR49CLAjNadHgWMIszB7RD2sPXcRNltrHfMPEI9jly4s5iBWgy64ewNIBXwgR2FN45ZN2mLIpHbelwf02h16Fo8smoeVf/hd/fua36DF4FI5eyEapRAEN2/9Sq/mlUiogKrmN6+cOI2nzNszbeBL7L5RBbqAl51dhkVdGRgbWr09EWtpJvq9GRAaPJzQBFlkYNXKU3MnBhTNpOHJwL3bu2M5PiLbv3I19h47j9PmruFVYDpXBQh1r70kAJk0ZFk+ZhN5dBmD/qUuQGe3QajXQMPGoVHcvtUYHnVYNoygLhxIno9Enb+K3L3+G1sNX4/S1Ei5AtaQMW+ZPRLPXXsDf//QSmnftiyUbd+HwqbPIvHiJl/FcyMzE+YzT2LM1EXPGDcDY8WMRv/cUrlToYL5Hsm4swz5Igochet5lg4gcHlto/8YHm1ENUVkRbuXl4np2NnJv3kZxuQw683cbORf1QvPaYRRfx5plizB06ERsTN6Ok+mncPToURw5cuTr19FjOHbsKE6fPIBtG1dg+JD+aNSqJ4ZPXIbMzEvQyMqQdSEdCYvnYnD3zujauTMGjBiDGYuWI27tOiQmbUDSBuFKShQijgQsmjcTowb3xZx5c3HqajYUVifrrEYQUcF3EFrNEfVC81hgU9zB9cw07N69BztTUnj+Ejs1u++1Zw/27N2Hvfv2YeeuPTiVmorKwjxIS/JwJfM0jh05zPPF2LV3317sEe7fzS7hz969hH/fuSsFu1J249z5C5AplPB4SWdE9EBCqwv8Xj6fwW4xCssaLRRKBeRymXDJ73vJ5AooVRro9QYYDHp+muyyW+CwmmDQa6HT66EPFVjr9bq7S1e2iX33YstY4ftszoDFaqXNbSLqCFuhTb+6CU2OTESf04sFoV2MukMBgiCqn7AUWq6mBNOubELjIxPuCs3gIqERBPFgwlJoN7VlmHNtK9oen46hGXE4IcqC0W0NvUoQBHFvwlJoYosKB8ovYGXuXiQXpOGGIDi797udnBIEEf2EpdDsXheUdj0qTArIrBqY3Xb4ApTKThDEgwlLoREEQVQFEhpBEFEDCY0giKiBhEYQRNRAQiMIImogoREEETWQ0AiCiBpIaARBRA0kNIIgogYSGkEQUQMJjSCIqIGERhBE1EBCIwgiaiChEQQRNZDQCIKIGkhoBEFEDSQ0giCiBhIaQRBRAwmNIIiogYRGEETUQEIjCCJqIKERBBE1kNAIgogaSGgEQUQNJDSCIKIGEhpBEFEDCY0giKiBhEYQRNRAQiMIImogoREEETWQ0AiCiBpIaARBRA0kNIIgogYSGkEQUQMJjSCIqIGERhBE1EBCIwgiaiChEQQRNZDQCIKIGkhoBEFEDSQ0giCiBhIaQRBRAwmNIIiogYRGEETUQEIjCCJqIKERBBE1kNAIgogaSGgEQUQNJDSCIKIGEhpBEFEDCY0giKiBhEYQRNRAQiMIImogoREEETWQ0AiCiBKA/wfFNfd7tH/JrwAAAABJRU5ErkJggg==)
physics-General
physics-
The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460650/1/938588/Picture15.png)
The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460650/1/938588/Picture15.png)
physics-General
physics-
A 2
capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch
is turned to positions 2 is
![](data:image/png;base64,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)
A 2
capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch
is turned to positions 2 is
![](data:image/png;base64,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)
physics-General
physics-
What is the potential difference between points
in the circuit shown?
![](data:image/png;base64,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)
What is the potential difference between points
in the circuit shown?
![](data:image/png;base64,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)
physics-General
Maths-
If m and n are order and degree of the equation
then
If m and n are order and degree of the equation
then
Maths-General
physics-
What is the potential difference across 2
F capacitor in the circuit shown?
![](data:image/png;base64,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)
What is the potential difference across 2
F capacitor in the circuit shown?
![](data:image/png;base64,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)
physics-General
physics-
Two insulating plates are both uniformly charged in such a way that the potential difference between them is
V. (
, plate 2 is at a higher potential). The plates are separated by
m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e=1.6![cross times 10 to the power of negative 19 end exponent C comma m subscript 0 end subscript equals 9.11 cross times 10 to the power of negative 31 end exponent k g right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPQAAAAVCAYAAABxN8PZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAABL9JREFUeNrtXG9EnVEYP3IlmUgmuSYm04ckJskkkcwkicw+7MNEZiYzkUn2IWNmZiaRmaQPMZlMZkySzEQyk2Rk+pBJZJJcie15+L28nZ1ze8/7t+57fvy499z3ve89z3mec37Pc04JUTi4Rhwhftd83k3cIP4g9goLC3/4Cx7D1zp8+KKFB0wT+2FsGRzAY8QM8TJxnthjTWYRELXEbUNftPAxg8pYQzA7yBKXraksAqKIuG/oi2HiOfFBGgOaZXapNBBH1h8tAqACqu9eggHN+EqsTzKXZZQRx4kr4ATadPmKiiZGbCO+JRbjORPIgXS4SnyBPhxBVo0SywvAEVuhTnLo2yz6G8a4xp0/JuVrTvtdH4uLgyMsLEFxPWq16SV/WCB2ud53oi2qFZrBRbEtBOdtTe7DGESO3eIy+BXiI+LkBQ9mLuCsExvRN05D+oibxMoQxjXu/DFJX+NJ4Rmeb+qLNVCNYWEZgR279GVwgeqNov018U6EzxXSoI4p2oewkhcqVjWrcS8USVj2jUtuJu1rAkrHz+IyE2L/B5BPKzEMmn7mtTOzQl3qb8NnUQd0KyRaViHftsTp4pkpnmJSqIQj7RJ/E2/hc5bsr1BIOSA+iTmgT/IUd9YSCOiL7mstmCRNf5fjJwL+NuXyETdKMdHuYeKYxUI0JF3XfJbqUBnTxMD5OrOPXFZGMQIgSCDrch/nPRtlDpJHxkvI6iB4j8FaxQrAg1VN/EWsIi5B7mcg43MepK7XvnqpMWxppFm18F4kDHuFvmi+5valz7CdiS86fsKrdAletym+IwN/GcJr5mNMyt2K/hyYGNrUwPmMfJLnnuME5eiGJtBN8BMzpVw824GUV7VXxdjHXkwurViVi5B+rBnYPgrJnTZfYz+pI34kNmmuGUGOrrq3ym9/2LBffBjYr5FzCRm4KIRnO1thpYbtcYODeRH9zWGFqElwhU6jr7GtvyGodeBUrUJx72GQCSoKI+9qZFBJQMkdBJ4kyxloQqAEbY9ScuvAtl8pwIA+j77mjDunZO801+i2onQ+k6jk5sT+pqK9I6RChV8cKlZRE/AATQZsZ/m7CXbG2HfO4UYLUHKfR19zjzvXbe4rruFjydMGvpRoUaxHqLeGJkV4Wwl+wLPlYID7uardH6C9GUWQCnARbXGAc7VsQgGdNl+Tx51VyQ3pGt43V21rcZD3KdofijzbjlFvJQg4K1eUM5ALw3DmJMHVSq6K8lZSuUuadSLY213XzqB/7mrjB6HeevDaPof81kELiiZhYgFO7sjQLIovXRpJH3VAp9HX5HEvR7rjLnSVISVowPsGKIodyUccRHqwxEs+V44gcY4f8nG8SyJ5cHFoCvkI/+4/MKQckKqA3scEIMNr+4E4fRSwKIS8XkY7HPwE3839qM8zhqbjanJdWn1N5Q91mGxLpFV6G8WuVaQJe+L/46KRH/1MC2Y0K28Q55RxbM1s4Qp6lQyP/I8z0gCWQOsi2KkyGfIKnYlghba4GOC/sx53yfBGBG6tdN0Lkf8suYVHcO5ZGfJ3yjk0v563pk4lOCXg4tkh0oRPIv+etcU5RDPyW875+L+qLIUs6S0sLGIGV9T5aB8XTgasOSxM8Q8cDqqQYzMpcgAAATt0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4RDc7PC9tbz48bXN1cD48bW4+MTA8L21uPjxtcm93Pjxtbz4tPC9tbz48bW4+MTk8L21uPjwvbXJvdz48L21zdXA+PG1pPkM8L21pPjxtbz4sPC9tbz48bXN1Yj48bWk+bTwvbWk+PG1uPjA8L21uPjwvbXN1Yj48bW8+PTwvbW8+PG1uPjkuMTE8L21uPjxtbz4mI3hENzs8L21vPjxtc3VwPjxtbj4xMDwvbW4+PG1yb3c+PG1vPi08L21vPjxtbj4zMTwvbW4+PC9tcm93PjwvbXN1cD48bWk+azwvbWk+PG1pPmc8L21pPjxtbz4pPC9tbz48L21hdGg+EGOr9QAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
Two insulating plates are both uniformly charged in such a way that the potential difference between them is
V. (
, plate 2 is at a higher potential). The plates are separated by
m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e=1.6![cross times 10 to the power of negative 19 end exponent C comma m subscript 0 end subscript equals 9.11 cross times 10 to the power of negative 31 end exponent k g right parenthesis](data:image/png;base64,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)
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)
physics-General
physics-
Calculate the force ' ' F that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height 4m. Radius of the wheel is 1m and its mass is ![open parentheses g equals 10 m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
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)
Calculate the force ' ' F that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height 4m. Radius of the wheel is 1m and its mass is ![open parentheses g equals 10 m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
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WaZWXgDpR+Mced0ycradpGDYX3wD4UZ6aHlsZVHG9gUNPQVCVXrgaHcubOQlb3jrAN6Ye8rRtRdD8V5UWGPA2ejVdPnHTUM8H96mXd+sDSvRNsg/nQbkLxg/soMxtwGbwKlMvk7XSg4ORx2CeN011QbaOHI3//XpRkZFQkyBsYVI1XTpwsQhu4m6RpR5Y+3WDp3V1razKqXlZYaaY35rlBLaO8tEx96fnR+3RTv2wx2x3TJqHgRGxFgrwpR2dQNV4RcVb4NbkULisTnl07dCVHNjdUWzgPhVcuhxzzhiwNXjG4fLf4fho8O7ZqKTrLwD4aLPIz0p6X911Wh3k2DSrhlRBnOf+jX9Nhh+9krK47Z8FZx+RxYiqdQDA31zyYBnWGcn+hBoZcXHwxtD9sMqmzTkIgvP2weTYNnkDtEmfFA0fiLC0o0LqIufNnw9Kzs6Yfefbu0ko2Ju3IoE4hjynTlPwXzmlep21I/1AVeXk+i0SNmki7wZOoPeIkaYrKJHWWiTlUlJaCvA2RsPbrqeuF3RvXIZB8V813A4O6BjM5tBzdkYPImTVN63hyyS+DR5pTXDk9zqDJo5YVp/yvtFQLdDDViOW9GL3kA1l4/RpKzcZqBvUI3Je9OOUe8nduh2P8aN0E0LVqRcgHb7YdNqiEWvdx8oErvHAezqmTkNW5LezjR+rKoNLcXFWjBgb1BqVlKMvL01Q59+qV6k5yTBwLjxBpcVoqyrlrpoGBoNaIk6RYXhrU/c9dK5fB0r0jLAN6wbN9M0oyHhnTx6D+ge6lYBAlFoumJOXMnQ37yGFacIYV5YPyd/XHm2BRk0ftEac8XCU5Dt08y9q3O7I7foPc5YsQuH3TrMwwqNco8xeiKDVVlGYUnJPHwz7mW807Dly/qrsTMHneoGmj5omzYjYu8/s0F845dTyy2rSAffRw+M7E6zphA4P6DE2do8l++SLca1bqs+uYOgH5+/foZnAsTmPQtFErxKlJxekPQ6uDuneAtVcX5G1eH0o9MmXiDBoAuOSSizW4lz/LHDJQxD2L/OfPyuTvMs9xE0etmOos4MEAELcqyO7YWtekB25dR1mgsOIIA4N6DhEAtJqK7iVp8Q8uybSPGwnPts0oTk1Rc96g6aKGiPM7Zzln6sCtm8hdNA9ZndvJTD0YBSeOapVtmkAGBg0GZaW6tYbvbDxy5Hnms5wzd7pu9lbCPdrN89xkUTPEGY4y0jfkdCB/zy5Ncs/u3hmudau0WPHjYwwMGhBYlEaLbe/eAceE0bq3v3vDGgSSEvW17+1XZNBkUKPEWVZYiMJrV+CcORVZHVrDPnGcBojKuN7XwKAhQsRAGXdfvXwRrpVLYRs2AI4p4+A9eggl3CXTqM4miZohzrJQEY8SqwWeHdtgGdBbN8PK27RBc+Ia44qLqpRGGQdZRTNKpBEhWIJgZiYKDh+Ec+JYrR/riliGwsTb39WPNfe7SaGGFKeQBot4XLkE54wpyOJ+6KI6/RfON4nVFiTKYEkJCgMBFEg/sAXk92AwaAi0kaDMJ/f09k24VojqHNRPi4B4jxxG0JXbKIWBwbNRQ4pT1GbGI1Wb1kF9YR3cH/m7d6AkKwPlMls3RpAsfT4fsrMtuHMnCZcvX0bChQs4f/48zp47h3PSLl68iKSkJNjsdhSJMjEk2nDB9KMSmwXemANwTBoP65ABcK1aqUW56aIyaFp4ceIMk4D8LBNVSV9mztyZumugc+Y0+fcFVaGNyYQh8bGViLp0uVxITEzEwYMxWLVqDRYuWoSlS5chImIVlq9YgXnz52PW7NlYsXIlDh0+jJSUFHg8HpSaEnoNFnyeAzevi5m+QonTMWkcvMdEdTrsFUcYNBW8NHFq9SObFZ5dUbANGwjb0AHwbN+iCfDcmqAxgaRZWhqE3W5DXHw8VqxYiWnTpmP+/AXYsnUrDgtBxsXF4eSpU4iOjsbqNWswddo0TJg4UX+/IAo0JydH1apBw4PuzGoNqU77xLFiWfUT1bkcgTu3v29ZNSKxYFA1Xpo4qTYDt24gd9F8WPr2QM7MKfCfP4PSPJe+3phQKpOEy5Wr5Dhj5iz07NUL48aNR/SBaGRlZak5HgZ9nPfv31dCHThoELp07aYqlOa8J99jyLMhorxMfZ3cg53BIcvgvkKgY3R1EVcTPYYhzkaPFyZONVtl8Aftdk3NYI4bZ2D3+tWNdovVwsJCXL9+A/MXLES79u2FDLtijShJ+jGLi3+4KyL/du36dcyePQfNW3yFNm3bYmVEBO4l39NzGTQ0CCHS15mVCe+B/bCP/haWQX3kmV8TeuYfV/wyxNnY8eLEKaTJLQWK7t6Ba+0qNdMdU8YriXLJZWOLNHKicDgciIragU6du+CDjz7C0GHD1Cynv5OvVwWn9MWePXvRvn0HvPnWW+jbrz9iDh0Sc99uVGcDBfOSA1cuI2febLWynNMnw3c2DmWe/IojDHE2dry4qS4zb2luDnxxJzUFicSp1bJvXFfzvbGB6vHevXtios/Ee++/r8TJ32/eugX/M9QjI++MsA8eMgS//NVr+OTTz7Bk6VIkJydXqVIN6j/o6yx+9Ah5Wzfpbq3c3C0vamtoP3ZTr7NJ4MUVp5glxQ8fwLNzG2wjh8ExdiTyo/eiJDNDSbWxwecr0FSjwUOH4Be//CWaffIJli5bhrS0NJQ8I1JOcrydeBuTJ0/Ba2+8KeT5K4wZOxZXrlyB31QUb7AIut3wnRbRMGuapuDlLJyLwqtXQpkkBo0eL06cfp9uMeBatgi2oQM1Fcl/IbQXdWOccd3uPBw7dgw9evbEz37+c3zx5ZcaKX+U/kiDRk8DU5dSUlMxd948vPX2O/jJT3+qwaIzZ84gn3vJGzRIhN1U3EaY1pZ93Ch4Dx1Eic1qFGcTQPWIM/w8lJWJme6E90gMHJPHi6kyRB+gIpbbaqS7Vrpcbhw+fATdunXHz372c3z5ZXOsWRspxJn+TOLk6iFG1xcsWIB33nkX//yTn6J//wEamc+TSeZpvlGDeo7SMgStViVLx8QxSp7udWs0Id5sC9P4UU3iDA3ycKFiFidmzU0+ON5DBzQRuLESAZPXT5w4id69e6vi/PSzz7EyYhUePHyo5Pg0KHGKOT9//nwlzn/5vz/DkCFD1ez3muInDRfynDNI5L9yGbmL54vV1R85c2ZoCbpQUZuKcWAmxkaJFyLO0gIvCm/e0AfGOqgPchbM1uoxZfL3xgoGgOiXHDFypPopGRxasHBhKMhT9PQgD32cTFdiIvybb72Nt6TR33nz5k3N9TRomNB0vLCff/sW2EcN1b2JPHt364IQ1vKsODD006BRoXrEKSa6rtkVZVlw6gQc0yaKiTIAeevXhLZPLWm8UWIGgB48eKBk+aGQ5rvvvYeJEycqmRZ4fxgQCCtvn9+P8wkJGDpsON588218/XUrREauw8MfUaoG9R0VIiI3BwUnjsE5ZQKsQwfAtSYCRcn3UGYyJuoEHHdM86P7jD91gpPGfz/Z+HrlY8LteVAt4tTcTXkgiljYded2nWHtY0dqMnDQ4eABFUc2PrBD3Xl52Ld/v/o533331+jVu8/jnMwnOzz8z9zcXH1Ph46d8Ov33sfIkaMQH38Gbrf7uW+SQf0FU+8Kb1xFzuIFWtwmZ94srQpWagJ/rxwkQ7q/uIov7f59PHz0CFmZmcjMyFDRk5qWhtTU1NBPafflb+nyGsev15uv1mGYSH8M1SdOfVCuwbV8iTrEc+bMhP/8OZT6qLoaNxGEzO67WLZsGdq0aYuvW7XG/AULcPXatSpXAtGEvyavzZ4zB63k2B49emL79u16YxltN2j4CJnr9+HevBG2UcPgmDxO/f2sTSuj8LsZ1OCpEJ2HYFkpAsFiFJYUKXm9CEicFCR37tzBsdhYbJOxtnbtWm1bt27Dnr17cfDgQRyMicH+6GhE7diBTZs3Y9++fbh+/bqKnNohTkpcuTA/k96n0jTpD9e61QjcS5LXGrfZyc5kp7LWJkvIzZk7Dx07dcaAgQOxdds2jZwz2Z3HsNEnmpycgvXr12sUvV+//vL7Bk2ir7ym3aCBQ+41t4vxHoqBY+pEscKGI2/TehSlJot1JvfZEOePokwsVV9JAI88NtxwpCEtLxveYj9KyoIoZX0A6UP+F6LYMH7YrxyjHFsUJiTHUaNG47PPv9DlzqNHj1EC3b17tzYSKWtHDBk6DCPECty2bbuo0oc6dp8H1SNOmV2DFvlS+/eqM9wmTZPes7P4auigRgrelPBMxAj75ctXEBERgbFjx2HylKlyUyIRE3NI8zPj4+NxQGY2rkufPGUKpk6bjh07diIlJdWsUW9skGeCQdHCCwm6fbBdVCdzm1nUu5TR9YpnxuDpIB0WFBfikk2suZv7MPniBqy4tR+H0y/injsDrkC+kujzguY6x+HIUaN0td6bb7+tFcqOHj2qpSDZWHPi2NFjWL16NWbNnoPNm7fI+ExT1fo8qB5xBgIoTkmGZ+N6DQpxk37/mThVoU0BYeJURen366qhGJnZWIeThTyWLl2qBLp69RosWrQIc8REXxsZiXi5iVar1SyxbKyQ+1qSlIR8GRfOsSPhmj0NhSeOo8zprDjA4MdQIhbrZfs9jEtYi1/s6IN/3NoVLQ9PxIwrW7A7LU5J9VG+De5AAYpKS5RsnwZmq5AcWSOXirNFy5ZYI2qTAVm6GwmOZR7HcXnp0mWcP5+gRclrkDh5gRWEIaYoN2NzLV2kaUi5C+cgcPtWk62ATSJ0OJxIvpes0fWEhARdl8524cIF9ZvwZlGhPmkCaK/KzXvy9vMv4R43rR43+T9t/F0GG/Oa8/fugn3SWG35+3ajOCNdX3v8HtN+0Aj+pI8zJS9TFOce/HJnH/zm8vfwh6s+xd9t6YQP9w9H/9OLsPz2PsRmXMFddzpshS54SwqFcKV/OY4qjSWa63fvJqmQ+bJ5C3zdujXWb9iATDHhnwTHMGvkkkC93gIdp2GB9Cw8P3HK/8qEAHR97vTJoRJykatQ/EhY3KTVaGfTDOcySpoKP6Yu2atBeU9AbrynSG5eoR/2wnzY/C5Y/bmw+HKQbVr9bQVsuciW+5Vd4ETGwztIjdmJ2zPH4saEIbi7aQUe3rqA7Dxb6BifHFvVeZp4Cz/nWdKHt3LuY13SYXwYPRz/btmv8RsLf4XfWPy6kuifr/sar+/uj47HZ2DSpfXYcO8ITmVdQ5IrHVbp27wiUaJlISVKJXnnTiIWL16ML75sjlZVECfjESRMt8ulcQuO1zBp1gxx8iRsctJSZ07Ivzn6W9hGDNG9pukY19cNFM/T6QQd3oWlZcjwBnDO6sLe+xnYmnIHW5MvYntKnLST0k5o28aWbFq9bHKftiUfx5ar+7AheilWLxyMlVO7YU3EaGyMjcTWxCOhY/S4Kt5vGrYnh/pm7Z0YjElYjdd29cPvrPhASPNN/MaSUPs3S9/Gv132Lv5g1Sf4nxvb4v39wzAgfhGWiEI99OgCEnMewhXwajBJTfU7dyqI80u0+Oqrijq4ySpuGHnnohRahXfv3tVo+vOa6GE8p49TWJhbpGZnI2/LBliHcJe/0SiIPap7ThtUH6VCnO6iIOIt+Zh6OR2tDl/Fe/ti8MH+SHxxcD5aH5mJdkenof0x0+p9OzoV7WImok3UMLRa0Qkt57bE14vb4ZtNA9Hu4AR9vYMc18Hcz6rb0enaP98cmSTP/zD8z01t8dtCnP8/IcvfWPJWiEAXvR5SoGzytz+IaIa/3dIBnx8cowqU5EnVSuKkqX5HiHGREOenn32mC1YmTZ6MQ4cOa3ogA0ebN2/W+MOp06dhsViqvRjl+YhTBnm5XEzxg/u6x4qlf084Z4W2/y0TE9Og+iBx2vzF2JnmRpujD/AX66/gt5Yfwu+tXIf/vn4+frVzBr6MmYaOsTPQ5cRMdDk+E53FTOks/w63TqbVi9Yxdjo6CSl22D8O7Tb0wTcLvkHrua3QZnUPdNg7Bh3ltU5y/6p6r2nftbZHJ6s/869FUZI4/80SIc7Fb1SQ5mv6k8rz9yI+wp9GtsBPtnVDy8MTMOPqFpzIvAZ7oVstOeZPh4nz42af4LXX30Tffv2wfPkKREVFIVIIk9ku06ZPR/SBA8jIyKh2XvXzmepipjMwFLiTiJwFc2Dp10NTLxgYaszLLGsTwbJyZBcUiwmXJ+oySx6WNPzR6tv4z2sT8HdbTshMehQjzh9DROJJRKXGiSkfjz1saXGm1bO2O+00dqecxo6r+7Flz0KsmzsAkVN7YmPkZESdicKuu8ex+0G8Roeren9Tb+wXtvV3D4upvga/3NkPv738/ZDSVHP9Lfy/Yqb/vqjMv9zwDd7YPQDtZbIan7BW33PGcgsZXgcCpSEuUsV5R4hz0WJ89HEzvP7Gm+g/YICa67uYw7ltm0bclyxdponyWWJJ1xpxss6m/9IFOKdNVsXJfVa4YoJRQ4PqoyRMnMl5Mtta8fquTLy2OxNv702X9gCfHUzFkLMPsTk5G1cdTmR6XXDIjOr0u2GvaA7T6kXT++FzITv7Ph4eP4C78yYjcfxQJEcuRebNi7C5rLAH8sw9q6rJM81m8+fipvM+ViUexLt7BuP/WfqOKkwqzz+LbImfRfVE85ixGHxmCRbd3I39D87hqv0e0r02uBkY0hSlEELBoZCP89NPPxPV2QwzZszAqVOndJvupLt3cebsWZw8eQq3bt/W7W1q3lSvIE4GgXynTmjBVla85nbALNoazosyqB4qE2evkxZ8fTgL/eNtmHAxRx6OHLQ+apfmwPBzuaJKC3AntwS+EtPX9RmlHhEXCedDifBjR8AVsVx3gDVV4X8cTHC/k/MQ86/twJu7Bojl9aUGgd7dOwTdTszGzCtbsCP1FM5bE5HmyUZuwCNkWSz0VJGX+Zg2v0+cDA61/PprNc8fPXqkrzOAy+wXrlFnYCi84q86eA7ilBOKqiwROes9GA3byKGwDR+sBVy5fcDzRpENvo/HxCmmet/TVnQ5bsG86zk4+KgA0Q/9mHnVg87HnWKy29HjZA5W3vbiurMY+UWmv+stCnwoun4dnlUrkCMCI2/pIhRduohyjwmg/hgKg0U4b0nEhAsMjo5Bi0Pj8e25lVhzJwbH0i8hMec+bL5c+EsCCJbTyn36OFDiTAynI32Jr1u1wrr169WXGQZ5i+Y5GyPq1eWxHyVOMrpuTsW6g1FbtbCHQx4K5nPqTGrG8QshTJzbK4izu6jOlYkuXM8JILMgiARbEVYn5qPnSSeaRVvR8pANky+6cDS9UB6gUsjbDeoZyv1+BETp5G2M1OLeXCDijz+NUu76agTGU8GADteq38xJw+Z7x7Ds1j5EpZ6UMXAH6fk25BV5USym+POCxJlExblkieZxPi7l+Ci94oiXx3MQJ1ORgihKuQtX5CrYBvfTBHj/xQRdgmmI88XwJHF2PWHBitsuJLoC8AfL4C0uR1peCfbcL8AIMdc/O2DFh/ut6Hc6B1uSC5Air/G4WoHcc/p8mMjPLZFtNptugcwcuBeZnZsKOB6K0lJ1x0suR86ZOwMFsUd0iw26uwx5Vg0SJ32UNL+5rDI93w5nYR58QVGXYsKzCEio556v/4qLinD79m3MmTsXH374ET777HNEcLeGBw8rjnh5PDdxFibeQs7iebAM6K2RdfpuGntFpNrEk8TZrYI47whxFlfIyWKxSKy+IE5l0XR348sYO17fRX+oA0tuenDNUQRvCavH6OGKmhiaNF+4quLixUu6j/ymTZtx8uRJNXUYsawOcTYlkmXKXkn6I11u6ZwxGc6ZU+A9uF+3DZaZiJ1RcWT18GQf8p+h1nj6luTIZZdsJNKXQaEo/0uXLmHixEm6QeIHH3yoUfS79+5V25f5NDw/cV67Kg/C1FAq0vIlWuW6KQ2KmsbTiJOKs6j0+/3qFQa9lVuEVXe86HTcgdd2W/ChmO+jE1w4nO6HRUz30srs+YLgQ0VitIrCZNGDhQsXoVev3ujTp5/u6MnVGKa609PxuHrYoQPImT0djumT4Nm7EyUPHnA2CrHdE+AYYr9zyR/7nj+p9vk3/iwuFjKW95qx9uNgn3H5JIsVs97mpEmT0b59B3Tu0kVLyJ2uSHZngZ6X7c/n83HKjSu8eAGOSeNg6dsDrrWr1Odp8OJ4OnEW/YA4GTHk8RZRnzGPfBh6Nhdv7rHgdSHQ3qeciEotQLK7GH5Rny/zONAMZ4SRlbFZ2Z77v7OWYZu27bBk6VLcvHXre8TJh4+DO9w4wOlf4oNJEuDfwg9omJQLCnzwF/obJRno6jqbVc1zVoLn1jKeHdu0ohjVqHzhiiO/Q7hfGN1lQZjbtxO13uvFixe18XcWi7l167bWck1PT0duTq7ch4C+lzCkGgKfX6fTqauDWNZxy9atGhTiOvUdO3bgxIkT2odcclndJZZP4seJU24O95D2nzuj22RY+/XSQq0lmd9FqAyqj6eb6qI6nqEecwOlOGspxNRLbnweY8MbQp4dYu1YdsuDK2K6u4vK8ATvPjc4AElofLCY3xaxapXuI88Zm5Vmbty8qcTKY0iOFqtVS+sxzYPVZTIzM9W3dFEmWQ52DnKPJ1+P5QPNpORzZ89pFSnuNc/tkSuTa0MHXVdBpx0FJ2ORs2ieFjbO27pJ918v54RTxffkd+e+VNxmOjb2uJYj7Nu3Hzp27ITeffpgzJgxmDR5CsaNG6cbBbK267Zt23Dz5i3tv7DP2ZBnqC85sfNZ47NI1xILe2RmhX7Pzs5WXz0nd046L9Nnz0ecMlgKTp+AfeRQWAf2QX7UVpSISWLw4qgucVa+x1SkiTnFiEjMR6dYB97fb0HLI3ZMETI9kl6Ih/lBFAZf/KHgQ0Uf58EYUZ1jxqJvv/5YvmKFkiGDRTSFjh0/jojVq3VZG32gBw/G6NYELO48depUTJMBztqkJINz5xJwVIvGrtGizzzn4sVLVAFki+lExdUYUM691nOd8MWfQu7ShRogYoS96PZNlHNrmSoGKgcvv7/NbteEbO6A+t577+OnP/0XrSXJyuV0mcyYMVOItC9atf4GXbt2w4IFC3USIkkEgyZg9yKodeIs9ebDK+aHbfgg2Ib0h3ffLgTt1oojDF4E1SbOip9hFAkxPswvwd77BZok/3mMHZ8ftGGYmPFbk5kwX4y8aqrP8INE4nQ6HUqGrHDfr/8ArFi5Uk0gbktw+nScrvOlGc+I5YABA3UgL122TP/eq1cffNWypfqXSJIs9Myo5syZszBo8BCtVvPVVy3VB8Uiz1S4jQIcK24X/OfPwLVyCRxTxmvpxcD1qygryGcHVxz4fbDfqbzv33+glchJjF988aWSJieeDFFPDx8+0nXVw78dgWaffKr9O3fuPFy9WvV+Vwa1ix8nTjEFgp485B+O0e1PSZ6MFJaKSWLw4nhRU70yGH20+YM4lunHtCssFiLkKeY7cz+X38pHgi0Au79UPqsS8T7j1I+JU+45lSWJc4wQJ9f5kjhv3LihJMfq2stXrNT8uPff/0BNyw0bNuHEqVM4cfIkli1boSb+l182159LlizVbQtIuLt27ca3334bek03r4tSsyrsr2vQIHFyafKFBC2GQ+J0rV6JwquXUOb1sIMrDqwadH1w4zDuUcXNAKkyr1y5iuISrpABklNS9D582aIFXnv9dfTs1Vvvkdud9/jeGbwaPB9xymDJjzkAq6hN1uH0ComWsg6nwQujJoiTYODIHSjFVQej7vnoE+dEi0M2tD/mwNTLbkQ/8CHNU4KC77Fn1fgx4rx165ZGfXNduTh67BiGDRuOtm3badrHmTNn5e8ueAsKtM7h7Dlz0aVrVwwdNgw7d+5UHxOVEaOaLOnVo3tPVVY03+knfVlnfb0AidPjgf/SRbjWrAwRZ8RyFF6+ECq/+AxyY9/TH8eNxDgRffNNG0yZMlWzGwp0SWC5qn0GOTp26qR76bDvt2/foeZ6eOmhwavB8xGnDIj8A/u16juXXHqPHkZpjtlP5WVQU8RJcDwWFJfhnrsEO9MKNE3p68M2fCUEOvQsE+a9uJVTHAocPWN8fUecZbolyNOIkw724ydOYNSYMejarTvmCElevXpVU0HoeOfvVJl838RJk3D4yBHYhYj5XvpOSaQkhy5dumLlygj1mdJUbfAQ4iRBcqM299oIOCcLca5cisJLCSgTq+3HiJPEGCbO1q2/UX8nt2Hhumr2HXdS3bRpEzp06IA333xb9/ffu3efRuSN4ny1eD7ilBuTH71Pi3tw7+iCY0dCy8gMXhg1SZxhMGiU4RXTPaMQM8R07xhrx5diuvcQ033xTQ/OWEKmO0vaVYXnJU4OVBLn6DFj1dymf5OBIxInI+hXr17RvecHDxmiPs/Y48dVwZJUqY527tql2yVTcUZErGw8xCn9V+bNF9P8svo2VXGuWAL/xfMoy3M/N3H26dMXLVt+rf7hWJY9k78zInzy1CkNujUXU/2zz75QpX/27Dntd4NXi+ckzhzk79/7HXHGGuJ8WdQGcfJdtMhzCktx2R7AGjHdB8TniPK0o+1RO8ZfdGP/Qx9SRZn6S2jkfx/VIU6SIYMX3bv3wPz5CzRwxCWaJE5uXMf0pUGDB2uE/ZiY9axEQ+Ikge6g4uzXr4I4G5HiVOL06oaG7nWrK4hzcajgdzWIs3fvPvj88y8wcOAgbN26FecTEhAffwZr1kZi6NBhup//yJGjNIsh/dGjxtF3DQzPTZye6L2wGOKsMdQGcYbBNHguxbznLsbeBz6MEdO9pZjunx20oX9cDiKTvLjhDEXdK9Nn+Lcf9XFWEOcoIc5uzyLOQYN+QJzORk+cojivhRSnmuqiOAufkzipKvfs2aOrtT5p9qmqeSr3vfv2aQFepoTNmjUbixYvkXtzEKlpafD7fPpeg1eL5zbVPQf2wTJYiHPkUDHV6eM0xPkyqE3iDKNYTPdsXxAnMgsx+1qemO4OfHrAhnbHHLr2/WRWIaz+oJjuFW+oQFnZ04kznCB/XIiTqod+ynnz5qup7ivwfefjFOJkmhK3KGCVbYeY6GEfJ4mTqqpz5y5albvRBIfCxElTfW0FcdLHeTGhWsTJvvns08/V17lmzVrtP+6Ncyz2mJrr16SvGWQLBAr1fYY4Xz2ePzh0MFo3adOo+pFDKJWB0NhRmw/kqyBOgp/jCpThurMIm+55MVBM989jrPjykA0jz+diV5oPKWK6a9Q9jPJQAjw3txo7bjwGDByoq4iYhkRi5KBl2gz/zuWYk6dMQ/yZs6IqHfK+XMSJWTlr9mxVTKNGj1bF9FBMShIulxWuX79eCfebb9rqGuKbN2+qUm3wBBAODl2+BNeaCDHVJ8AVsQyFly5UKzhEHyfzXDkxHThwECkpqboyy+6wwyV96C/8fpUqQ5yvHs9BnGWhdKRDB2Ed1h+2bwfDe/hAaFvgOgGXBYbWRdfWA8OcQq7mYKMJWRuf86qIMwyuY3/gKcGBhz5MuuQW092Oj6Llc086dQXSDSFWT3GIPPl9QyuHYjQAxAR4KkMqTprpiYm3sW7dOvQSZUTi5DF79+3HbSFWbpLF3ydMnKTpSEOGDtX1wpcuX9btWc+fP697wYSJk4qUuZ8sXcd72qCh6UihLWaYv0nidK9agcDli8+VjlQ5qt6qVWsN/sTFxUufu/Q5bBS5ro0Ez0ecHg/yjx6GdfhA2KR5D+xFUGa/VwnmAHJNdELCBTFb4hAfH48LFy+qmZcv1/cyDxVnb6bYcGbnSgw2rqum6cSIZW2Yka+aOAlG0x3+Uk2MZ1m6zscdSp6tjtjVdI/N9Ms1FSHX7dEK2iTLTp0748vmLTTCS9P97t17SqBHjhzBajEjly1bji1btmoeZ3JKsq5B534u27ZHqXm/YcMGzfkkqabdv68m/f790erbpB90e1QULl+5oq4BmvINGiROMcn9F86p0lTiFOUZuHpFTfjnJs5+38/j9HpN1Ly+4ceJkw+D1wvv8WOqNmmu5++JQtBqqTii9hBWesxjozm3bdt2TX2hc5wDln40DlqqGZqI1SVPEiKJkeYjS07xXGvXrtUalKdOxWnQwiOkXBuBi7ogTgaCWH7OK8qS5vmO1AJdovnpQZuuOBp61oltSS7E301H7OmzWCjKsFevnmjXrh1GjRqt/X/jxk2ZUCwa7OHEwlU/XG9OJcq+ZOMkZLFYQ4UVhAyYgsR7yERuFqbge8NFGLhahiY8XQANXlFxrLhz4TsnKnH5YiXOvHVrELhxvWK3hGffVxLnrl270Lt3b90nhzmwZ8+d06CbQf3CcxEn904viD8F+6hhsAzoBc+2TSjJyqw4ovZA4qS5fEtIc8HCRRrF5UqTY8diNVJLNTN7zhysWr1ai+5yAP6YOgyTMR9ij5hVXEa4acsWzJs3DytWrMCBAwc0Ksxq0SQDDujH76kmnvW+uiDOyqBLM6sgiNgMPyZfdqP5IRt+vTcbHY5YMP98Fg5cTcWp8xdVLR4+fEj9lomJd9Sk9vsZlPg+yfG7hltVeNbrz3pfQ4LGA3Kcuq0MN2xzTp0Az6b1KEq8hXK/j1+04siqkSkTyfbt29WN8ennX4Bl/Wiqc9IxqF94PuIsLoI/4Rwc40fC0rd7aGvgRzVXhv5poAJhUIE71LXv0FH9ZWfFDKRqoYrhqgqWxx85apT60RJvJ2rZsx8DyTUvz4NLly6rOTpy9GjMnj1bzU8qoTBZ1uZgrmviJCjw8opKccURwOKbeWh/zI53hTy/PmTF9Eu5OJnhRXa+XA/9vHJwuP0YATRVsOB3UNR0gVhn3CVBiXPbZhTdS0J54Oll5cLZBhcSEtR90aFjJ3zRvAWGDhuOnbt2IyU1DQVirvO5bQwTTGPAjxOn3CgWaOUyMue0CVoBngUMitJSKo6oeYQfDvo1qXj69e+vfraZs2arT5OESnJjKfyIVas10Xr8+AkagaQiepbqpFKi+X3l6jUsXbYCAwYOwrjx43Ho0CE1lX7MLOe18fMrN76nqoe68mv8vfLr9YE4Cd0oK1imhZCjUrzoF+fEB/staHbAilHnXTj40IdH3iAKq1NmqYmCBb9LrNnwHomBc+6MUCHjXVEovp+KchEf8gBUHPkd+FxQUbKAB4NxdD8xBYxiYMbMmdi8ZSsSLlxUd0ijcGc0EjwncQbVT5M7bwasA3pqrcFAUmJIfdQSSDgkQQYYPv3sc3zV8muN5DItI/w6y20xuDB48BBNGl6xMkIrPPMBexqKigJIlRmctSIZFe7Vu7eY+qv0fVWV5woTJSO+Pp8fOc4cuS67qt58b2gzs0cPH6mflL8zrYbXxmugiuDfucaYKTwFcjxfI+oLcYbBwBFNdxLl6Au5+PygVQNHfU87sf6uF7dzi5HPqLvhz6eiXJRjSVYG8g/s021muHVG/v7dKEkX64wZA1UQJ58vPit8dph1cOXqVS2SotXfr1zRivAscpznyVNlaoizfuC5ibPoTqIuH7MO6oOcuTN1D6Ly4tpLHyGJcVN5Ksm333lXzRcmB9NEJ/gAkVi5gmL48G/Rtl17TJk6DRcvXXqqT4jfhe8/cuQoBg0aLCq2uVbv2R61XR9UVi9PloeXJEeHPEmOPtZQCk6ivm/z5q1aGo2RY0b1GWnm1qMrheBZuYbpNklJd3UlDUup0YVA84u5i/FxcRosCZbIACstqxfEWfmTKCpZYf68rRALb+ShQ6wDzQ7a9Of86x6cyiqERcj1ya09DELQzdq4jbaoTOe0SXDOmgrvoYMoyc6if4gPYMWR1QOf2/DP8O8GdYsfJU7ebG4JUMxtTzeu00LGjBb6zp1Fmb9qv01NgMR1TkiISdavvf4GevTspT5IBoAIPkBUdAwSMVGYivTbESNx6tQpjeo+CR5Pk5nEyMo9zcX0/+TTTzVBe/2G9VrqbPXq1Vglpj+Tuxk0YjFffl5a2n2NKDNNhOqX18I9mzds3KhL4Jjn2PqbbzR1Z/LkyUqk9MsuWLBA/bLftGmjhWe5DcKJ48eR53YhUBKExVeCbfVEcYbBT6ayTBSFufGeFwPic/GZqM+vDtu16hILJ3PbYuaFGnwf3B6jKPku8rZshGPyeN13yHcyFkG7TV5kfxnSayx4LuJEWRAlGenI37MT9uGDYR/1LQqOx6JUlF1tmeskLK6H7ta9O3712utaTYdbLdBEJkiEVIL8G8mPG88PHDRIfaIk1CfB46keScasI/nmm28JCX6GiRMnaiEFEicj6zT72RYvXowzZ+I1ZYbugejoA5rQ/dN/+b/6Pkbz6ZMiyS5dvlxNfpJq23ZcSTMVGzdt0gg9yZV7xXzcrJlWvGFWwCMx332FgQri9NQr4gyDyzVZYX7/Ax/GXXApcX4qBNpbTPe1Sfm6NbE7wDJ1hgzCYOQ8cPsm8iJXwzFxDHIXzde9ukpduXw1dJBBo8BzEmcpgjaLrlG3jxoO29AB8EbvQ1AIqraIk6qRCpMbhZE4WSmGuZbfEWdoWeDx40Kco0bj8y++RP8BA3FEzGNnFcSpTnhRsTGHDmtxidffeEPM/46iMFdpNJMpSAwuTRAibf1NG7Rr3wELFy5Uk5t+S26NO0nU5AcffiivtccmIVr6WHk9dOxz+1wWvGD0f87ceUrQHnmNvit+D268xQAXC/wm3r4FT0GBEuf2ekqcBP2wdn8Q562MunvQ5YRDcz65RfGsK3k4muFXcvUHGfiqeFMThq5Tv3JJC3s4xo2Ea/kSXbeuq4YMGhWekzjLEHTlwHc2XmbSsbphG9MsmMvJ3LXagFuIk4UkqDhpqtMnGRcXJ2QUeghJhPRXsvABFR0VJ/ezORobi5zcHxIn/ZUk2h27dqFdu/Z47/33MVpMZ56Tn0W/aEZGJnbt3qMEzH1dqHIZbSc5clXRrNlzlKAZVOL2uQz20PxnEjeT5ocMHaZmO0mUfk5eIx3/JOahw4ejefOvMG36DCHjq3DL51l89Sc49DTw9nuLyzU4xILIg8/k4IsYmzS7blO8PbVArzm/uPSFd9dsLAi6XfCJwsxdNFeJk4U+AncSUSYTr0HjwnMTZymLF1y/CuesabD26wnX6hUoSrmngaPagFeIhYEWVuZ54403K0z1k8hzhxQnSYlq7tDhQxgmpEQfJ5WnEiEr0TwBEieJNioqShUj/ZssRMEAVBg8hr5NEiR3GORxW7du0yAUo+5Ui81btNQUJhbyLZQBwWg7V9Ds3LlLU0iGDf9WzX4SLUmVapVR0m9HjECLr1pqYV8W+nV7GgZxhkHTPcNbovu6T7jo0mWanxywodcpJ5beysM5UaU2LZJc8YamBrGAuAy54LhYPHOmwzFhtPo6i5g+V9Q4dvE0+A7PR5zyUHD1EB3fXBFB4syZP1uJVPPTagFUaklJSVos4te/fk/Na/oZ6dckVOlZLFrMlZXGaSJzF8XwFg5PgkRL5bh//3507dZNiPFzTJ8xQ5dyBiuKS9APmsINsVasVHOde7twGSY/5+7du0qo3NmRZM7dB5lszxQR5n+yVBqV7zBRnZs2bhKiTVYi5jHcR5yRfxInP/OaXKMSZz1KR3oeBKnyC4O4YAsgItGj/s4Wh21oF+vAlMtuHHzoR5oniAIWSW5S6lO+bLAEJZnp8EbvhXPaRA2g5u/dFbLKaklcGNQdfpw4CRkF5UyhyUiHK3I1rAN6y4MxEb7402KG/PhKnRcBiZFBGe5Jwwg4d/3buHGjqj+CSo85kvQ1MvLOvb+5zpzry4urmOFJilR/rGvISDe3H5gwYYKqwcr5m8y55Hm6du2KPn37Pk6BYjT++8QZWyVxskL3xg0bGyVxhhEuksz9jUaeZ5Fkuy7ZHHImVyPx3N/IUyTSs6mQJ8dHoFAtsLxtm2GfOEYtMy/r1rKKmEw4Bo0Lz0+cQmRBIa28HdtgHTYIttEj4I2J1n2kawskHSq7IaIoaYrPmj1LiY0gYVGRLlu+XImTlWSYN8kCEiRO+iypFDMzsx6vOSeRMcizcNEidBCFSr9pTEyMvP7dd9DVSBERWr18ytSpWoWJ18Fq27PEVGeAh9u3MihFwuU5+TkszqDEOWy4bqhFU50ql8cwR3T4tyFTfYao4hvXryPP660IDjU84iQ0gd9XqvsbzbwaKpLcIsaG7iecWHTDgzPZhc/c36hRQcaHBoZuXNPdLe3jRiJ30Tz4zsWpi8ug8eE5TXVpQgKlQkDcGtg+YQyswwchb+smlFiya3xGpTokqDqpKlnMo2evXhgpxMQ8TasQVXp6Ok6ePKk7LDJJnr5ImtPhCj00wRmwWS/qj/t50x8a9osePXoMY1nZXAgwImIVrl27roTL1+KEKJcuXaZmP/f8ptIk+d28dQsTJ03GRx830312WBqNhMzPIplTDfcXAu/dp68W/b1585YSLrMDTp48pZ/FgNM4uVb6bh3y3kxvUb3L43xe8AqZyukoLMNVZxHWJXkxuNL+RhMvurX2J2uA+oP1//u8FOR5Lc0NBU9zhDBJnK41K4RIr6qLy6Dx4fkUJ8FZNd8L//mzcM6dCevgvshdsVTMk2RdalYbIIGStFj/kStzxo0br/vbbN6yBVu2blWCmzt3HjZv3oLr12+AhTuKi0uUrKKjozF4yFB06dpNVOmKx2vcqUZZ+Yirf6ZOnabpR9zLZbeY5Hv37kXkunW6zJN7vNy8eVvJlKRKZdpXTPfXXntdleNyOSfJkcnx8WfOCNHOxDdt2qoyJsFylREJ9dat20L8G7Vo7+tvvKmkyxVGd0WRpjo92JrsRr84W4MjzjB4pfRpcq37bjHdx17g1sR2LVPXLy5Hq87fcRX/IGG+UVGpPFdBERAUFc7pk+EYPxqe7ZtRnJai69cNGh+enzgFnD0Dibc0os4dL52zp+k2AazXWRsgcbLR7KaC3L17j67s4W5/60WFkpCYe8n1vG53nhJjaWkoCEQ1OnPWLF2ts3XbVlWoVLAEfZ0kUpr2ayMjdcXQFiHjbdu3657fx2KPq3rleaga6Wtloj1XAtGHOUmIkWqWxEmfasKFC3o9XPLJYNaatWu1HBg/g8s4ufc1SZqJ94zkM8UpWQg3xZGHrfdcDZo4FXK5XIbJte6nxUSfy/2NjjvwcbQNncSE5/JN5oLmBBppdZ9gia6s8+zYpqTpmDoR3pgDSqY1bY0Z1A9UizgZQWc5OU/UVq0E75gwCgWxR2ttG43KJjtNYgaGqOKSqdZS0x4X1iC5hUlRVaUoYKpE+kCpVkmaPKby+ahkmdf5KP2Rkh8bz82yckygJ7nyOPoweSwDRA8ePND8TFY5ZzFfVlni0lCa7FxhxHMwGT5dfnc6c/SaeQyJl6+RjNPup+k153kLkO4pxDZRnA3RVK8K9Hu6ikp1B80NojT7ns5R8vwyxqqrj46k+5BdUNLo/J7lFBQ3rut2GfYxI7SkHM12XTHUGCcKg2oSp5AIc9W4WZt9/EjYRgxWEi159EBefHUzKwmNyrIq9RL+G3+SRPmzquMqg8eRIJV8n3HOmkR9q45UkwgEy/EgP4j9D/wYcc6Fjw9Y8fY+C3qddmBLildfe3Kpe8P7xhVXzOcszw1f3CnkzJ2lK+tokQVu3QxlnNTCs2NQ96gecZaV6vIxFjV2zpsJ67CByF2xGIGb12stn7OxojETJ8FVRDmFpYjPDmD6Fbf6PN/ck422Yrovv+3FNWeRFlFmPdCGiYrrlsm2xJKF/H27YJ8wGvaxI+HZuR0lYslo/qYhzkaJ6hGnqErNV0u6A/f6tboHEWsOFpw6gVIxSc1D8vxo7MRJ8HFgPid30Fx9Jx+dTzjx1l4LPjlo0502Y9P9WqaOq5IaKrgqqOjeXbjXRsh4GAQnx8OJWI2yK7eaMdEoUW3iFJsWwaxMzeG0jx8N28ihyNsZhZLsbH3N4PnQWIlTuSL062OQGB+Jec493Lmv+7v7rHh/vwX9TudgS3IBklzFuq97bbhEahul3nz4LySEMk2G9EfOkgUovH7tu4UhhjgbJapFnPoQMHLtcqHwgpjrs6fDOrgfclcuC1WEDzy98rrB99EUFGdlBi2VZ4cJ8XFiuk+7zH3dbXhPyJOVlrhV8VlrISy+IAINRX1WjIUSqwX5FBFiplvFAnNv2YDihw9QZtKQGjWqR5wV0IKt95J072hNS5oxBb4zcboZv8HzoUkQ5xPgt8ovLsf1HJruHvQ85dTA0ddHbBh/MRfRD31I85TAV1KOet8FQpwUCgEZB+51q0NZJpPGwns0RheKkFQNGi9eiDhpknPFkGfXdt0y2D76W3h27xBzvfbKzDU2NEXiDCMopMMVRXvuF2DEuRx8JeqTpeq48oj7G12zF2lgqV6nLcl3KHW7Q6uFZk2DjQtClszX+psUFgaNG9U31Qma66IufXEntZiBbehAuFYs1eR4rT0YPs7gqWjKxEnQ72kT0zwu248FN/LQ9YRTl2tShS64nocTmYVIryiSXC8j76XcFeER8kUwaHHvEUOQF7UVxQ/uG/HQBPBiilNQXhTQjfbdayKUOFlKy3f6BIJOZ61VhW9MaOrEGQaj7tedRaI087VIMs321kftunSTSzi5lJPVmOpbjzD4U3jtClzLuYFhPzimTkLB6ZMIVlFE26Dx4cWJU2bcYFYWvAf2wzFuFOwjh8KzfQuKU1NqdffLxgJDnN+BRUDue4qx736oSHKbY3Z8Leb7ICHStXfycckegFNM93oTNxJhwA3YmFnCvYUYIHWtWoHA3SSUmQBpk8ALEycfnrL8fBReuojchfNgGzZQl5pxcyr+3Zjrz4Yhzu/ANCRG07O8NN0LsfhmHvqcdqKVKM9uJx2Yd92N2Ew/MuX1wnpQaalMg6N34a6o2WAfGyqxGLTbzXPfRPDixMkHhEGiirXr9pFDYBs1TH0+WmrO5HQ+E4Y4fwgqSlegFDdyirSq0vBzuWhZYbqPOJ+LnakFSBHTvaiuyJPPvLRgbi788XFwTp0Aa9/uuscQd0PQ7bINmgRejjgFZXl58J+N1xUTln49kbt0oW6RWu6rncrwjQWGOKsGvzoDQjTdDz70YfJlt27NwQrzfU45sSoxH1cdReobfeXiTj6wrLgYxamp6pailWUfNgj5u6K0EpIJCjUdvDhxVrjry7nkLC1Vl5xZB/TSROCCo4dDm/CbINFTYYjz6eC3p+luKSjVTeCW3/agt5Dm5wdtWiR5+pU8nMoq1M3hXqXfk0FP7mRJoZA7b5bu9poza7rWbihnNsljNO371xTwEsRZARnkQXcevEcOa+Vr7kfkWrUcRXfvKKkaVA1DnD8OdkN+cRkSc4uxLcWLIWdydF/3D6OtGBCfo3secSln8An2rK3eU7X54D48O+iaGqa1GnSb7IesDlb5U839a+x4eeIUMIpemHhbVxJZ+vZQAi04Gau+IKM6q4YhzucDe4IBoYyCEhzL8GOqmO5Mln9rTzY6xtqlzzyazlT7m8OVozTPrcFPBkFtg/shZ84MVZssK2fQtFAjxKkOc6cD3mNHdCURydMduRqBe3eN6nwKDHFWD+wvBo7o31yZ6EG7Y3a8tjsbH4n6nHzJpaY7VxuV1tI8zV1euQadvs1wwrtuj5GRbrbHaIKoMeKkGVOUfA+uZYuQ3bMz7KOHw3v0kFm//hQY4nwxcMXRw/wSRKUWaMrS60Keb+/N1qpLu+Rv9z0luo1HjUKeb1WbCeeRM3cGrAN7I2f2NPjOn0WpCYI2SdSMqc46nfIz6HKh4NhhLTWX3aWdRtiL0lK4l2/oQIPHMMT54iiV/nEWBnEqu1AT5psdsOKdPRZ0Oe7Qup8skuwW072kJghUSFNXyaUmh3ybo4dp6p1n2yZVoCaS3jRRM4qzwrlEk4URdvo6SZy2oQNQcCQGpU6nvm7wHQxxvjwYOLrqCGDpLQ86xTrx3j5WWmLU3a1r3TO9JQgEX9L3yRVyTjsKTh3XXQ9sQ/sjd/5sUZ+iNs1CjyaLGiLOCtCkKfDBJw+ZfcxwZHVqI6bNTARu3TB+oCdgiPPFoD1TqXvYj2l5JdiW4kP/uFw0083hbI8T5u+6iuEt5hYdFW+oDuiCKvAicOc23BvWwka1OW4k8nfvRPEjUZtmkUeTRc0SJyEPG1M23JvWI7tHZ1j6dA/twZKVZcizEgxx1hzo98zwluJIeiGmXHKj7TG7kmf/uBysuePBJXso55O+z+pUmS8vLpbnNgNesZqcM6eoC4pFPQqvXFKf56vcoNCgfqHmiVNQVlAA/9UrcEyZiMx2rULpSaJCudGbQQiGOGsWdGfmBkp1//ZlYrr3OOlEi0N2TVmaIab7kXQ/HuVXmO7Pg9IylLpdSpK5EUuFNIfAyf3SD0ajJJsiwPjtmzJqRXFq9ZicHOTv2wPLgN7IbP81chbOQXHyXbMbZgUMcdYOWILujpjn3MuIa91ZZanVETtGnXdJXxfoa3liuv+Y8NRdDlKTkb9nJxyTxmiWiHvdGgRu3kCZr4BHhA40aJKoHeLkD6Yn3buLXDFtsjq0grVfD3j37w5ViTdJ8T8gzu5CnBGJLtx1F+n+PAYvjkKRn4+8JTiS4cfsa6EiyVyqyZQlRt0TbAE4/MGnT1CiJstsFvhPxsK9aC6co4fBvWA2/KfFanLYNGBk0LRRK6Z6GJyZffGntOxWVvtWcEwep/8u9ZhoZGXi7CfE2fOkBZFJbjzINyZgTaFAzPJbucXYeM+LEaI4O8Q60F1MeJruh9N9yPAGq9ieQ/7tcQHXL6Fw9TLkjx0G75QxKNm3A3iYCgSNxWRQy8RJR3xJViY8u3fCOqgPsrt3QO6yRQgk3taahk0Z3xGnB71O2UURWTHtSi6OZfqQkleCdBnUpr14Iyk+yC9R4ox55MfMqx58c8SB13Zl49f7LOgb51RCZTpTli8IR2GpFku25weQnfoID/bH4O7UGbgzcjRSli5H+tmLsGY74fCVwC7H8fiaas5AmbRybY7Csh+8btrLt5xAqaavsXjM0wyN6qBWiZMoCxQiwBVFK5fqiiJWy/bs2IaSJr5UjUrH4itSxdnlhBXv7MtE80MWrXrO9dgzr+aZ9hJtFpuY6VSX4y640ONUDt7fZ8X/2pSJP1+fjn/cnqm1PkcnuLD0Vj4i7xZgw10v1t8Qcz42CctXHcTiiRFYPGU1Vq47gjWnU7H+Zq5uJldTjZ+nTQh8470Cbfw9/Peq3mNa9Rv7lAVhWCT7oTe0j5XiJQi0domzwhwv8/l0eZpj+iRNjLePG4GCE7EI5jAxvgbovwGCxGn1FSIq1SYmZDL+JeoOfhKVgrf2ZupKGFYBMu3l22cV7SPp0zd3Z+OftmXhfwp5/vWmDPz91kz8fEc23hVC/TTGgeYxNjTf+wifr7uBT+afQrMZh/HpotP4YuNtNN+fgRaHbGhx2K7R+ppoX8m5vjpkxVcHhMT3PUDL/Q/RMsYif5PP0Vb1+0yrXmsp/dzjlBPzr+fhnLVQax4o7dR34kRpKUqsVuQf3K97E2X36ISc+XPgv3gepV4vDwwd14QQLCuDzVcgM2Eyup44JYP6GN7bfxltjj1E79MOMSVz0E8af5r24o19qC0+R/M62XqfzkH7WDveE5Od5Pk3WzLxq22P0GxDIpovjsMXMw/jy3nH0WLtFXy9Ow2txBJgFfpQc9RY+0Za830P8f66q3ht4TG8uewUPo26h68ff17V7zOteq3NsdB4WnzTgwRrAG4hTlLTy7BOrZvqCrnKsqJiFKUkw7NpPWwD+8Dar6fu2VLEDa6aoL+zVIkzD7vSLqPv6S1ofWQ9Rpw7KabFIxzNKMDJrEKcygroz2c2MT8et6per27Tc8nnanvitQbcuK49Tr7TWRk4p+XfLBIySsz0D6MteHdXBnpH3cK8ZfsQOWY+IkfOwaYVuxB1Ogl77rqx91Eh9j7w11DzPf59d6oXK86lYujaA2g+ZgHaTovAtOgL2HzLgT33fdj38Mn3mvYibZ80Zlhw0z/uaxWo2DW1fhOnkGZotUa5qMt8zYNzLVkAS88usA3pD0/UNhSnP9JdM5sSQsTJLXDjMTh+OXqfWoyIxMO4mZMBb3Gowk+xWBT8+bRWXAaUSNey5+gt5u8sS8nX6AR/8vgfa5XPp+eU3/m3oh+5jobUmILkl4HDAFzkXS+6xNrQPioJC1ZEI27sVKT164NHkyfCduAg3BnZ8PqL4ZPO8Eln1EQrkM8O/57j9ePspauYOX8hWrXrhG59BmDzjt1ITc9GvnS6vwY/tym3AmncSTUgjS6ysNpke1G8MsWpP1gwweWC79QJOKdN0iWZtvGj4D16GCU2C8rLmk6lmVL5rnZfLvakxWFI/FL0O70Q6+4cQnJeBoLlzx80Y5+VBktQWiMTj1gGcp4SLjWUpuesuHeNCfxGmQWl2JziQ48jmegoJvLCb+cjoXsf2EcMRv62jSi5lwQEuB1GTX//ivOVlyHH6UT0/v3o3asX/vXn/4oPP/wIc2bPws0bN1BcZLYZrs94NcRZCeXBUl23nn9gn679zerWAY5ZU0P5nW6u/218A7UqPEmc/U8vUuJMqQZxcnDlOB3ITE+H1WJBgdf74pOPDORAoR92mw0P7qfhfloabFYL/AUFuhKsMUGJ01eGLSkF6LE/De0m78L8HuNwqd9geCKWofj6FcDL5cG19ywGi4uQmnwPixYswLtvv40/+9M/xT/+wz+ij5DooZiDcOXmNJmx0BDxyomTz6KuKrqfirwtG0P5nWK2c2/2wLUrKNMHtvHj+8S5TBTnIkQKcd5zZ4g5+XTipNvD5/fj4cOHOHfuHA4dOoTo6GjExBxCXHw8kpKSkJubi5JgUI99FvhqUI7Ly8tDSkoqzp8/j9jYWBw5cgRHDh/GsWPHcPbsWdy7dy90zkaSPsapJd1bio138tBtxx20nbQTC0cuxLWlq+E/fw5lbletkhbvS05ODo4fP46+ffvhr/7qr/E7v/t7+K9//t/w0UfNsGjRIty5cwdFAaM66yvqgDjJnGISijpiIrwrYrlutWHt3wt561br1sIsEtLYl2VWlzjDJOjz+ZAog2rb9u2YO2+eDLLFiIxch1URq7F4yRKsW78e54QAbXY7imWCehaCpaVKmlevXsWWrVuxZOlSrFu3DgcOHEDMwYPYsGEDlsg5N2zciISEBDgcDiXaHyPk+o5gUTEeZOUiMi4VXdZfQcdFsVixMRZJ566hRPqttpdUBoQQ7969i5UREWj2ySf4k//4n/DvfvO38cd/8h/xzz/5Kfr3H4DDMnE5NV3vu3tvUH9QN8RJCDGW5Xvhv5CA3AVzHgeLWI6uKOkOSrWQQuPFixBnUZGYd6mpSmhjx47FrNmzsW/fPly8eBEnTpzUgTht+nSsWr0G5xMuiKrJFaJ7iuku5yMJp8j5tkdFYeasWVi6bKkqzuTkZDx48EDOeQLLli3HdDnnxk2bcOvWLRRwUmvIA1lM5MLMTCQdP4MVEQfQccExdN5wBZHn05Fm9dT6oowy6Tuq9+PSt4OHDsU//tM/4ff/4D8ocf7ev/99/Le/+O/4/PMvsGLlSlX6nPwMcdY/1Jni1F9LyxB0OtW/yT1caLJbhw9RE74o+S7KvrdXdeNCdYmzTCYaq9WqanCIDDiaeJu3bFGCI6E6HE4cEpUyddo0IdVx2Lhxk6iae0J0vqoHnvzN5XKpOp07fz5GjR6N9aJWOVjDJjnPvW3bdkyYNAnz5y9AXFycDvpnDWS+9rTX+Xd+j2e9vzZBF1FpxkO4jxzC1Zmi1ofORfupe9F11z1dqfOwgFZO7V5bQO5VckoKVq9Zg8+/+BJ/+mf/VQnzt377d/Dbv/O7qjp//q8/x7cjRgi5HleTvtRsz1Hv8OqJsxJkiKE8WIKgzYKC48c00k7lySR5z+4oFKcko6zQ3yjN9uoSZ3FxCa5fv445c+eiTdt2GDhwEGIOHdKBRXi9Xpw9dw5z5szFgAEDMWPGTJwWoqN5/bSBRxIkGZJs+/brh7lz5+H8+QS43W5VOiTRTZs3Y9LkyVi8eIn6O9XXKa+RXKk+3WLqezwe/Xz+5PWQ4J0yIfLfJHWei+qW783OztbX6SLga6+KSLn0l8t8fUdiYJ01DRd69cfCflPQYXYMuh14hA33CiqIs/bA78o+OHnqFEaOGoX/+7Of4w/+wx/it3/394Q0f0fJ89///h/gL//qr9CqdWslV94DmvYG9Qt1SpwyYkI/g0EErRZ4Dx2Ec+JYZHfroNsMc3Os4rRUeegb34NTXeL0egs0aNN/wAB8JqbcyJGjEB8fL3/P19f9os6vX7uOJUuWomfPXhg6dBh27tqFBw8fPjWok5+fjytXrqivtFPnLujVu4+Y+6tw4cJFpKakKqmuWr1aCHUuosScZ8CCpMo0mtS0NDnuggakLl26pGb85cuXEXv8OPbu24dDh2JwUV5Pk+PS09ORmJiopv/Onbuk7ZT3xamiJaGSUGoTrAFbkv4IBYcPInfGJGT07YEL/Ydg6fRIdF53Cd1jbSHF6a1d3yYnirT79xG5dh1afPWVmuW/KWT5737zt/Cbv/Xbj3/+0R//MX7xy18puZ48eUotg7pS6QZVo34QJyGDuyTjkVbYtk8cHcrxpPKM2qo7ZTY28qwucTqdOWo2t+/QAc2afYKJEyaqb9PvD21PS1Vy504iVq6MQPfuPdCzVy+siYzEnaSkpyqWYhnIJDWS2RAh2tbffCPv662qdePGjVi/YQMiVq1C1PbtSrBUr1SRVEH79u9X9Tt5yhSsWLECu4Sko6J2YLn8PlFM+7HjxmHBggVKkkePHtXIP32wEydOUlKfOnUa9u7dq+RZWIsrx7gqjfsDeYU0c2ZOgb1/T2TLc3VjxVqs3ncR3Q8+0lJzSpz5tUecJD5V+GfiMWbMWPxSiPG//H9/iv/wh3+EP/iD/4DfF6VJtUl/5x/98Z/gb//P36NNm7aIXLcOKWLak3QN6g/qljifAMmx+NFDIc99cEwS5dm9E2zfDtZqSlyuSXOrscy8zybO7w9gKjKLxYq1ayPxVcuWaPZxM0ybNl2j4WHS4cAioa1ZsxbdundH5y5dsHTZMly/cUPVaFXgeWli37x5C2vk3H369sXnX3yB5i2+EvLtjgkTJ2Ld+nVIYJTeZtPPoHl+Q85JguRnfN2qFYYPHy7XthY7duzQ4/k+XkPXbt0wfvx4uaY12CEEyuj87NlzVBG3a9cek4RgT4nZSkKp8bsqz0mZTCrcwjf/0AE4Z0+HdWAf5IwZjtyN63Hv3FWsv5yNHifslYizamVeE6C7gpNElPRRr9698drrb2gEne1v/8/f4X/8j7/EX/7lX+Hv/v4f9G//+otf4svmzTFz5izNaMiTCctozvqDekWcRGiDrEx4Y6LhmDgGWZ3baik69/o1CIiiYqWlxoDqECd9lBkZmaLsVuKLL7/EJ598ilmzZuPa9RuP1SRJjdFwElg3IawOHTti4aJFuCLkSnP4aQj53Vw4e+asklrLr7/Gr157Hb96/XW0a99ecwppctNE56RFs5/mN9OWOnbqhM8+/1zVKhUnTXW2TZs2YfCQoaJg26i/lcR55uxZIfprGrWfMnkqWrVqjR49e2oaVEZmpkabaxIMLBalpiB//144pk6EZVAf2MeMgHfrJvhu3sQDixub7nnR83QOup9w1Cpxst84eXFi4wRCRT5w0GAMGzYcgwYNQuvW3+Ctt97Ge++9j65du2Go/J2qnAEipoix76j2H/eR/CQRc9J80dxa3vcyea6MC+DFUO+IkygvptmerrsLUnlmdWmvuZ7u1SsRuHENpTL78uFpyKg+cWaoSUzi/PSzzzB7zhxVk5WJM6Q41zwmTpIeibPgGcTJvEwOyoTzCapWR4wYqe6Aj5s1w2effa7Exwg9c0epNtnvOaIQGcEfOmyYHNsRU8TsZjI+laM3P18VEs14EiP9dHv37lPiZ4SfwaHNm7ege4+e6NK1q/pQ6fdjTmmNQK6POcLctsXD/YKmTtB9r+wTRiNv22aUyORb5M7DI08xNiUXoOepHN3YrTaJkyRF4uQ9pP/4yNGjOCYTyOnTp7F7925MnjRZzfJu3brr5HjsWCxOnjypPm0qcrpb2LfFQpK8zwzIZWVl4dGjR9qfHulz3scfA0lS3y+ToMVi0fseEPLl3w2BVg/1kjiJMrnB3E2w4PhROGdOQzbJkyuMli5E4YXzKHXn8omsOLrhofqmeraqyZYtv9bg0CwSZyXFGSgK6KqhiIgINZE7demM5cuX44aoq6f5EEtlsHEQ0X9JM5vnZ44of06ePFnJl0GMQaKO6L+k0qTCccl7mIc4aswY+azuGo2n24DKtqioGNcYpBKlxEAW1RWJgulS+l6XC7uELPr2648uXbph5cqVmkv6PAP/WdBhTxWV70FR4m3kbd8Cu1gsNM8dE8dqMZlAYiLKvSSZUjzyBkVxvhriJClRITIYR7Ky2+3aDyRD9tvyZcvVL02VuX9/tBBiur7ODAU9VvqbkxYJMl3I98q1axoYZJbDmfgz0t/XYKUrRT7jaQQYvoZMIVxOcgcOHtRUNFWy0m+GOKuH+keclW8go+3y8PjPnkHOgjnI7t5R17Y7Z06F71SsRuIbaqpSdYiT4CDavn07OojCY4I0fZxXrtDHGSLOwkAhbt2+jWVCliSzXr166yoirlChyqgKHIwkW5rLVIiRkZE6mKhcObgY3KE5TvN9woSJSpYaVZdr4e+jhTipHJnjycFLfymVFYl46dJlGDR4sKY6UV3ZHXYleQ7UHbt2KnF27dpdiZ5J/S9NnPIcsNYBt/N1R65W37ilfy9VnPn7dqMo+Z6uSOPzVSqPGLcKVlP9FREnm5rHlZ5XfuekpLtYvXqN3q9vvx2hKpMLF8Lg+2hx+Hx+PHjwUFPM9uzbh5iYGFWj0UK0NP+Z3ZAl6vNpqWclJUG9b0xZY59PmzEDW+W+c+muQfVRbxVnGCwKUiozc+HVy8hdsRTZfbur39MxZRy8h6JRnPEI5UIaDQ3PJs4fDmCSHKPT9I01b95CVw5xEKj5LKDauyyEtWDhIo2MDx8+Qk1kmnNV+cE4PTmcTs0ppNk/fsIEJVAmZ5MASZBUNHPkNQaBBgwciK3btqk/kjmaTC0icXYTpVQ1cS4NEefUqbrmncrpMXHKQGfeKP15NUGc5ZxghZh9CWfhWrEE1iH9YenTXSbYKVo8u/hBWmhL3/IQaXEX0fRXSJxPA+8LiZMrvULE+W0FceYoYYZBMuTfzp07ryu4mFvLVDEG9Zj+xcwHujzoIqnKuuC58vO96gPfvXuPri6jS2aNWBYpqSl6HVSjnGB5j2i+83li4/nCfw//jf/mNYUnhKaIek+chKoJMVMCt27CvTFSBkY/ZHX8RlVF3rZN6s8qlwHbkFBd4uTDHU6Ab9uuPYYMGYrDFYOMKoZpQvFitjFoRJLjcswzZ0JBhapUCB94KhSmCZE0aXYz4vsoPf0xidGPxrSjUWNGqz+Tg5aRYZ6TPrjnIc4ptUyc5fLdSqzZoQUUs6bB0rubFsnOnTdL3Tys9VpGVV6ZiMrqB3GSrO7cScKqVasfE6euUZeJqTIhsd8ePnykE+HChQs1VYzPQnp6Bi5cvKhWBhcp7Nm79wc5n/yd78/Otqh/dcuWraGJcvwETXWiRWKXe8KfzMsl+fIn79lBUbVUsvSlX7p8GUflbywqwwAgsyx4/ZUVdFNC/SbOigdA/58FSOUBoHrI37MjVJKuQ2tRFt3gWrkMhZcviamW12D8ntUlTg4APqwHDx7UqGufvv0eExkfYBJSdPQBTJo0GePGj1d1yIpHVKRcpcPjmEbEgcqVO1QSJLMTolhoTg8fMUJNe6qSMIlRdVKRkqynT5+B/UKyDCqQrKk4Gfjp3LUr5s2bp4OLaiQQKFISDfs4J02ZoqY6yYDkTzOUuZ29e/fRpPsVKyPUd/oiA5Dpa6yyxVVmjrEjkN2pLawDesO9con6walCy0uKKx6g79DQiJMTEhcfkDBnzpyJzaI46U6h3/jWrduaGjZs+HBEyv3jZPikOyBX7hddMozO74/er0Vh5s2frxYGz0MCJikuWrIEixcv1r9z+S2zMhYIUZNg+TytFoUa/jfJlc9BVdZMU0CDUJyPIQ8TzfJgdmYo4j5lvO7Xzqh7ztyZ8MWdQlBIoSHsnlld4uRg4EPKOpmr16wV0hqtlZHiz5xRc/zmzZuaJzl9xgxdqnfx0iUlPg5OBl+2bNmia9iZF8iCIBycHJBUGhxIVCCLZNDQBCRBk1gfynmpOjgwGVm/fPkKPHmeEIHL37lmvkPHTlogJPx5NAk5qBYsWKh5oczj5LEMbpFYs7KyVfXQN8qIPCs6MWrM63xelIvJzb2qAom34N6wFpYBvZDVtiVsg/oib1Mkim5d18wLmvBVoaERJ60JFjdm0I5mNu8lk+IZXOKKLCrOgYMGYYWod1oMYQuDpMn38liWDCRxnhBLgSTI+0OTn/UMeE84IdOCGDtuvK4443GshcBJlfeX7+ESX14Dfd9cvEBL4WmBx8aOhkOclR4kqsqg0wHfmdPImT9bE+Wz2rWCbfQw5O/eieLUFJTrDX1CatQjvIjiJGgKMwjEsnJUBCz7Rl8VfVyMUHN1EUnMKWqAA4eNx5MUSXIsWbZnzz5NqCcRc2BpWTkhM6YvMeWJyytZTIT+MAYQaCLS/LbZ7EqcPF/kuvXo278/OnXqpAqXapSDmESwX8x75moyHWn48G9FvWxQ845q9ty5BCHLpRpFZtR+mgxMDlKqYBJJZcKoCiTDYpsVBSdFxc6Zrv7uzHYtYR/zraYfMXfzx9w2DZE4b4hpzlQzJU65J5wMaZYrcS5bpu4ZVlSqTJz5Mrkky3G0GhhFZw4t08g4sdK0J+HSL87VY/xcTnIkSt6PJJlQaa4vXBhSnZz8mNq2e88ezBfS3SZEys/mZNgU0bCIM9wq/q17GN0W1bF2FSz9eiLjm+awiupwr4lA4aULCNptWkSkPuJFiZM/6bO6f/++DoK1kZGqCPmT/icGG2iah801DiIODB7L42iCXbp0WdUhj+H5mCZzV0w2HsPkdR7DnzSpOdioCHk8iZbH3pYBs29/tJ6PxM3jj8ceV9V769ZNLdBLhUo/Jwc7XQgkXg40Bjh27Nipg51kTrOTQSj6U/m9nkac9GWWevIQSEpE3q7tOklmtvkKmR1awzlrKgpOHddamk9TmZXREE119h0tCqo/DeLJJMTJkX3Ovhwq6p+LEuhK4XvZGPw7L+qfapHLXRm95/1iJSyu7OJP+rBvy0TI+zxLzk0LgJMcrRjeF65W47PFaD7JlAWzlyxdppMrrykcnGxqaFim+hPgw6ErRJLvqdK0jxspCqSdKtAcGUw054vvp6JMCPbxgKp6XL5yVJc4nwSrg9NUI+GQGPmT/6bpVCbEEAb7iH/jaxxU9GuS/EiCYXLlT5IWj2FCdWZmpp6PKpCqhio3pGJCK4c4kOlT5bHhakf0d1EZsfF3/i1bzsHPJBGQzPm5PB+vge8LfwZJmdfIz6hMGEoAct8YES/OzhILIw65jJr376kq0zKwF1yrVsB/5RKC3Gqi4vv8GBoCcYbvDcG+oY+awZ+FixYqcVL10595USbB5ctXYOLEiWJJ7NECLLxHfE+29D3dJlSHNM2nTZ+BUaNGaZ5v8xYt0LtPHyVb1jxgxkaYOBkIChMnU9RInHTh0E9K4mSqWWXirHzPmgoaNHGGQZ9miTwkvtMnkbNwrq4yyurURqPu7ohlMuDiNZm+nBtgNQLirKkHtb4/8GVyv0ocNhReu4K8qC26BJfFXyzcp2rS2FB+ZloqSoUkqoP6QpwkuKqIkxNP5XtDEiWZnjl7RgNE9D3St83AUOzxE/r+VatWKdFxUuJkxYBbWtp9bVSUfI0LEejXpDnOwB0zHpj+xMATfzJ1jJWymOZG/yXzRJn1QLVKK4Lqlm4Ymu/0s/LfnEQrk3xTQcMmzkoPF1OWuGqEpnve9s1iyg0PLdWUgcY6n/m7dyBw87pGWjkg6xr1gThfBLX+2XJ+LTgsyrToXhK8Rw8hd8lCzc3M7toe1qED4JLJsDDhvBbBpglf3SuqC+Jkv4VbGFTYDM7QhGaWwYgRI1T5uVzfT4AnMdGXSPcMyWyvlu07pL8fOHBQfdFUhHyd1gJ91uE8T1euK3wmVbhc9snFC+s2bFC/NJUsVT9dLaxVwIAjl4KSTE/KcXS10Cd6LPaYultInNwVgL50ZlLQijDE2QhA0704/SG8x48hZ/F8LRCS3bWDbgrHDeE4EIvuJsnAzNUByoFaF3hZU73RgaRC94GY+qyQRbPcvWGNrjGn/5qRc+eMKfDs3aVbq3CSfFESf9XEyetkkI4uD7oyqNKYRE5zmuZuRMQq9OjZC8OGfyuEePhxzivJki4OHl9YyPfmC9E9RMKFi+qTPH48VsjtJLjEleRHEguth7+g6WJMP3MzRa8SeAxTkBhhZy4oXS5UswkXEtQFsH17lBazpq88QSYnbs1CP+jZc6Hjmb+7a9duzSGm6W6IsxGBD2op1WfibXj27ICThR56dw2VqRs5BLnLFqHgSMx3BFrLm3NVBUOclSD3q6zAqyXgfGfjkLdpnVY0sg7uq6RpHz8a7nWhHShLbNaXDvi9auIksZA06dNlfQESEytFqamtQZnZaNe+A3r17osNGzZqYWgeRwJkgntKcrL6gbkLAM/D7Aaa4ikpyeqL5GtUr2wkWvq8+Tr9yDw+DI4LEjKPJ9GSMEnO9FNmZWdpahoVMAuy2O0Oud5MTWViBD8jM0NdAPy85OQUUbcP9P2cAF50AmvIaJTEGYaWqLPb4L9wXgaeqJdRw3W9O0nUMX6U7qrpO3VSk6gZsX2VEXhDnAIhlFK/T/3P/suX4Nm5TVOMuDKMCxvoo2ZRl4Jjh0M7AYjyqonaBHVBnCQokhJTu7jSigsKWDB68uQpWhXp/Q8+xKeffa7l+GbOnK35tjNmztRUM9YN4K6lVK0kKRUGFUT5JGnx3/w8tvCxVaHy38PHsTGwWPnfP9aaKho1cRK8uUyWLpZZs+DoYeQuXwz7uBGw9O8J28DecEwcp0UhmM5SlJqMUpmxXwWBNnXiLPMXKmH6Ll0QwtyuCxhswwepSc6fOfNmwbMrSgNDQapMUTY1hbow1anMUlPTtFBLv379lShff+NNvCHtX/7l/+Jv/uZv8X/+7u+1gPEbb76Fd979te47xKWzDNY8uZTSoG7ReImTD1nlB01m4NI893cBBxLo6GEh/5mQKFOZWESE+x5xRUowx4myktojsKZInFpzwONB0YP78NOHuVFM8mlikg/tD2vf7rANG4icOTOQv2MbCi9fDGVCcLO+iuIcNYW6CA5RATocdk0qHzx4CH7yk5/iP/6n/4w/+qM/1q0y+PMPKxr//df/83/hyxYtNFdWtz+pZuaAQe2i0SvO70GIlMqlxOlQcsyP2Y/cZQvV75ndswuye3WFbdQwJVXvESHQu3dCBBoQtSMPfk2iKREngz4s0kLCLIg/rcsknZPHqTmukfJBfbSSEfeX4j77JRkZapaLbVpxhppFXRAnwf2hGAxiEjr3jfqvf/7f8Du6w+Xvfu8niZM7YHIZJaPnDBaReA3qD5oWcVaACobbDpdYssQUvIz86D0hBTp+lCpQEijTX3LmTIdn+xb4E86hJFMGcw2mMTUF4qSPmelfhbduwHuQk9RiTROz9OoCS8/OsA0dgJzZM+DhdhZn41B8P01dJSituqZkTaGuiLOM91xIkLU0+4u5/g//+E/4vd//A/yWECa3BuYOl7/7e/8ef/7f/gKfffaFFtzg7qGVAzwG9QNNTHGGf/AXaXSuC4GWOp0I3LuLghPH4F4boYEjjcJ3bisk2gX2sSPgWrUc3mOHQ2a81aK7J74MGitxlpEsc3JQlHIPPlGXeVs2wDljslZiz+7WMZTZICZ57oI5yN+3B4Eb1xHMztYiw1qc5RX48eqKOAmSIMmQ+ZIffPgR/tN//i/4HSFLEicV5x/+0R/hn/75J7plCQtv2KxWDQoZ1C80ScX5A8hgJRGWilnOAiF+psRs3ajVw7OFQDPbtJDWUovjOqZNEhW6Gf6LF1CSlRUa8Ix20pSqxqBvLMSp0VWdgAKiLh0oDLtAli6AbfhgLcKR1eYrNck5AblXr9AoORcqlNhsoc33allhPom6JE5Gwq1Wm67f526f//t//41uCxxWm3/6Z38mhPoh5i9YoCtzCoVoTVCo/sEQZ2XwAQ2WaHI1k+j9F89rxZ3cJUICI4fqvkeZrb9EZvtWqqC4hUfepg2hiHzyPZS6XXKO5/NFNQbiZIm/4swM+C9dQP6eXaF+GjMc2T06hcr9dWqjuZjczzxv03oUnD6B4pS7odzZoucvI1fTqEviJPz+Qty4fgPz5s7D22+/owGhf/vvflP3WOdWwSzAwbJtLN/HCdkQZ/2DIc7K0AdUmpAfk+Lpo2Nidkl2puaC0uwM7ffeERktP0PGFx+rmrIO6PXYH0rztOjObZRkpuuywaf5RUmvjkAe9jw4gyFnlj9BnPXQNNMAj0frnXKP+8LLQpb0W65YDPuoYaostU+++hTZQpj2UUPhWrkU3tijMqkIWebmql9ZAz7VVOc1jbomTgZ6mExO1dm5cxf1adJU/9M//TO8/c67mDFjpi6bZDCJMMRZ/2CI83kg6pAVeujb5GojnyhMrmRxjBupftCMLz7Co2bvIqPFJyGTdMy3WsXHezBa18dztQsTvTU/VM7FavalpSUhxZl6GkPilqDfqYWITCRxpn9fcdbUmNE5gZOC/vLd75UbCY2tlBOHmN/Sylg4OjdHFTW/d97GyNCWu327I+Prz5He7D2kf/IeMr9pDtuQfshdNA/e6D0IXL2MkvRHobxYVmGvR6iSOJOEOD2vTunT18kdSLm18s9+/q/4kz/5j/jff/O3uhnfjqid4FYX3PfcoH7CEOeLgOa8NRvFVy7Bt38X8pYthFNMVFvPzrDQn9fqc1jat4S9Vxc4Rw+DS9Ro3prl8O7cisKjh1Ei6jVw+zqy717Drot7MOToHPQ7PheRtw8gJfehiLIiITJqUhJaxc+XaTwHm5I2m6g+LjMlkZPUSOquHJSKSi6RiaHo8kUUCkn69u+GZ+NauBfPQ87E0XCIsrZ2aq3fL1tI09KxNRxClq7Z0+DdugGBuJMIpqUAokzrNWSSyCoIYnNyAXqROE85sVEUJ8n0lUGuwS6m+I6o7ejQvh3+8R/+Hm+9+SYmT5yIK5cuoYjq3KDe4qWJkwKluLQcvpIy5Bc3juap3IpKn/h3xd8CQXgKS5Dn9cNlz4EzKRmW2BNIj1yP+1OmILlfXyS1+QaJn3+K2x9/iNuffYKktt8gpW9fPBg/AWkL5uOKkGnE+pnouWE4uuwcg4XHI5Fw4xysaQ/gyrDAbbHLuXPhdrrgzsmD25WPvDzuISTNIy3fX0VjYYjQMTzeneuR97vhlvPkWhzIzbQg92EGclLvw3nnHuzXb8F2LgGWw0eRuXU7Hi1bjvuiglKGDMHdzp2Q+NWXuP3Jx0j8tBmSWrbAva5dkDp6FB4uWYqsfdGwX7mG3AyrXo/HV6R94glI/7Cfwv1Vqf+q6u9X2ficuuX6EnOLEZGYj06xDnSItWP5bQ9u5RSFjqt4lmvjevnseEvK9dzZLi+OxZ/HmMnT8PEXLdCqQ2csj9yI2ykP4ZZ+DB9XH/qtITevNF+wTCw54StqiRrACxMnP5/7UxfI1aR7g7jmKMIZSyFOZRUiLrtht9PPaHqMJYA4WzHiHaWIc0qzl+B0hg8n79kRezkNR09cw+Fdx3Fw5Xbsm7IYuwaOQ1SXQYhq2xtRrXsg6pue2NahD1b16Iuhw7rh06nt8fH8bhiweCxWrozA/g175f0ncDTmPI7GXsWx07cQey4JsRdTcfzKfZy49ggnbqTjxM1MnLjFllXR5PebGThxXV6/+gCxl1IRe/4uYuMTcezkdRw5cgGH9p1GzNZDOLB6B/YviMReub7dI2dg94Bx2NlzOHZ0GoDtcp3b2/TUtqNTf+zsOxJ7x85G9ML1iNkSI+e5iNiEeziRaMGphx6ctpUgLqcM8RV9EWcpkn4KPNF3/Lf0W7gP66jxGT2Z5UdUagFGJ7jw6QErPpE28nwutqcUfO/Yx/e7Bpv2BZ8facfTC7Dp/D2MXhWFr4dMRMexczBf7s+Bu3aclnEUL/0Y7r+qzmXa87Wzcs+vOYuUpwqKyx+T58tw6EsRZyBYjod5JYh+4MPMK24MPpODPqdz0D++KbRcbf3C/z4j/z7rQv/zedI8odeOZqL3zjvoseYcus0/gi5TdqLTyPXoOCgC7fsvQcv+s/HmiJH4P1N64m9n9cbrMyaixYw16Dw3Gt2XnkSP1efQc/0l9Np8Db233UTvHYl6vt6776L33nvoszc51PalaOstv/PvvffI67vkuB230Uve12vLdfTaeBk9IhPQfcVpdF0g1zJjLzqP24JOw9eiw4Dl6NB3aaj1XyrXtwIdv41E5wlb0W12NHqsOIXeW2+gT8xD9Dvt1O84IEG+4zn5rmfkO8t3f9wPFf3y/b6qP22AtH5xOeh8woGPDtjw06gsbR9FW9H5uHy3J46v6cZ+CvcVr6OL9Gnzdefx7px9+GDRIbTdJff4hA3945xyrfW3HxtCC/fzkLO5mCH8tF946kF+iVrIYQ57UbyUqe4Xk+aOmDzrkvLRVwjzyxibPIwygx+0Nb0WY5ef0uTnp4cc+DRGGv/O/tifjU/2ZqLZngw02/UIzXY+wsc70/Drbdfx00078T/WTsd/XzsF/7hpE96MSsBHux+gGY/fm4Vm+zL1vZ/Iez/ZLe/d9VDeX9F2yHE77j/R5G98bdcDfCLH8j36Xp5Dz1lxHbvTK66F5+J7eC6es+LcfE2O0ffty8In0Rb9np8+/n6h76rfuXI/NJD2sbQPom349T6Ltg/2h/5W1bG12vZn4WO5Vx9vv4tmUclyv+XeVKjgKo837blbs4qfzQ/Z0edUDtbcyUeiq1gEH+MGgpdgzhdXnPKhZG5rQSnOWwPYJmbO8lseLLzpweIm2/K/+/2W/H7biyWJBViS5MeSu4VYci+ApclFWJZagsXJAcy4bUe3MyfxTvRivLF3PtqeiMbYq6lYmCTv43uSfFic6A2d77oLi6/kYNElBxZdtGFRghULz1uw8Fy2tCxti+T3RfK3RRfk9UvSLjux+FouFt9wY4lcz5JEH5bckVbpepbI9SxNKa5oJRVNfk8u1tf0GB7P990uCH2vx9+3ATd5VpfI/Voqvy/h7/xe8rPKY2uxLZXPXHY7HyulrZC2tI6uozG35dKv25ILcE54yuIvRXGFrV4nilOzV6SJ6ISvpBy5gTLYfEFkS7OYVtFKq2xWuXmZBcW4leOUWfAUepxcik6xCzHv2kHEWx4i3csbLO+Xll1QgmxvMbI9AWTnFSLL5Qu1nAJkOb3S8p9o8rdceU2P8+t7svOLYPGWwCKTXFXX8/ztye/XcBuf0yxvEBkVjVH2unl2w31bVun3qo4z7UWbTcYb+Yk8Rb6qUx/n0/AyF9OU8Lwrh9ifnKR0aWPlJndfV5VU2Z44VprB96H9ysa+rfRvA4PnQY0Tp8HzQmbBwlzsvx+HYWeWYUDcImxIOoTUvAyU4RXmExoYGFQbhjjrCE2hrJyBQWOFIc46giFOA4OGC0OcdQRDnAYGDReGOOsIhjgNDBouDHHWEQxxGhg0XBjirCMY4jQwaLgwxFlHMMRpYNBwYYizjmCI08Cg4cIQZx3BEKeBQcOFIc46giFOA4OGC0OcdQRDnAYGDReGOOsIhjgNDBouDHHWEQxxGhg0XBjirCMY4jQwaLgwxFlHMMRpYNBwYYizjmCI08Cg4cIQZx3BEKeBQcOFIc46giFOA4OGC0OcdQRDnAYGDReGOOsIhjgNDBouDHHWEQxxGhg0XBjirCMY4jQwaLgwxFlHMMRpYNBwYYizjmCI08Cg4cIQZx3BEKeBQcOFIc46giFOA4OGC0OcdQRDnAYGDReGOOsIhjgNDBouDHHWEQxxGhg0XBjirCMY4jQwaLgwxFlHMMRpYNBwYYizjmCI08Cg4cIQZx3BEKeBQcOFIc46wrOJM1hxlIGBQX2EIc5XgHJpZfL//K8ynH439t2Px9D45eh/ejHWJx1GSl4WSsvLKo7ge3/4PgMDg7qFIc5XgPLycviDRcgv9qOkkhmeF/Ai+sFZDDuzHAPiFmPj3aN44LFUvAo5NghfMIBAafH3yNTAwKBuYYjzFYDE6SzMw03nfZyx3ESCNRE3nKm4aEvCqsRo9DgxF51jZ2Lete04nnEF1+S1C9Y7OGe9jVs592EXZVpUavyeBgb1BYY4XwFInFZfLg48PI+R5yPQ+fgM9I9bhBHnItDtxGy8v28I3tk7CO2OTcGQM8tUffYUMh2bsBq7UuNwX1RoIFhccTYDA4O6hiHOV4AyIc78Ip+qyZ4n5+Lvt3TCX274Bv9rU3v89aa2+LN1X+FPI1vgLzd+g/+9qYO+9s9bu6H7iTnYLcSZ5XUgWFpacTYDA4O6hiHOVwASJ1tqXhZmX92GX+7sg9+P+Bi/sfgt/MaSt/Bvlr6tTX9f8g5+d+VH+HlUb0y8sA4XrUnwCulStRoYGNQPGOJ8BQhTniuQj+gH59Axdjr+fP3XQpJCnItfl/aGtDf193+z5G38WeRXaHV4kgaLHoqZXmz8mwYG9QqGOF8hSIB3XemqOn+xsy/+/cqPK8iTTYhzyZv4PVGbP9vRC+MurEVc9g2NvFOtGhgY1B8Y4nwlCBEfzW1XYT723j+Dtken4C/Wt8K/XfpuBXG+gf9n6TuqNr86PAGRSYdwLy8DRaUmKGRgUN9giPMVg6rzmjMFky9twC929VGFGSbO31n5IX6yvTu+PbcCJzKvwuF3i9o0+ZsGBvUNhjhfMZjInu3LwY7UU2hzdLJG0/9fUZ002f9LZHN8dnAUVt7eLyb9I/hLAhXvMjAwqE8wxPmKUSb/+YQQL9vvYVzCWvxUFOYfRDTDb6/4AP+wrQsGxC/GofSLsPtdCJaZFCQDg/oIQ5yvGPR2MtiT4bVjw90jaB4zDn+xoTX+v7Ut8NH+4Vh4Yydu5tzXpZYGBgb1E4Y46wieIi/is29gxLmV+NWufviX7T3Q+9Q87HtwBhYx5Y3aNDCovzDEWUcoChYjLS8La5NidNllh2PTsOD6DjHhk+Et8ZuKSAYG9RiGOOsIpWVlmhB/xnILEbejsfTmXhxNvyQmvAMlRm0aGNRrGOKsI5SJoCwU1Ulf51VHMi7Z7mkxD0+x3yS8GxjUcxjirCOQGpmaxDqdeUVeuANejbazBqcx0w0M6jcMcdYhSI8hivyuzrshTQOD+g9DnAYGBgbVhCFOAwMDg2rCEKeBgYFBNWGI06DBgtWmTIFng7rAKyHO8AP+Yw85Xw8GgygpKdFW+pTtIsrKyvS14uJibTyWf2uKYJ+F+4M/n9bHz9P/YVR1H57nvfz88Puquh7+zr896zorg8dUfk/lxvOz8fPY+DcDg1eFGidOPuh8oAOBAFwuF+x2u/4MFBY+8+EOBkvhyc9HdnY2UlNTkZaWhmyLBQUFBd97H8/Nv2VmZuLWrVu4cf0GHj58pH97nsHYmECCypc+y8nJQW5uLnw+n5JIiHBCJFYo/e52u+F0OvRnIFD01H7i3zkR5eXlISsrC/fv38eDBw9gtdm0f5+27xHfx8/hNaSnp+u9y8jI0Ovi38Nkx2fC4/HA4XDCarVqy3Xlho6p4pr4Hn5Hfnb4WbLJtfAnzx36Xk79Gz/b/yPPmIFBTaFGiZMDiIPD4XDgzp07OHToEPbt24fLly/rA86BXBk8nkTIAZ+VlY3rN27g1OnTOHT4sLbjJ07o3zgweN7wsY8epcu5D2PJkqVYtGgxjhw5KoRraZCDhn3AVh3we7IfSDz37t1DYmKiEhzJpbi4RPuZr1ssVty8eRPHjx/H0aNHcfXaNbkPOdqPYYQ/n+/xCkGlC+Fdk+NOnTqFw3IPjsj74uLjcVs+wyaEVSj3IdzPfB+Jlp/Lye7ChQuIjY3Ve8efCQkJ+ne+7vf7lZBJrFeuXJXrOYbdu/fosbzHdnlmeK7KfcHPIany/vM7xsXF6Xc5e/as/vvRo0dK0pxAb92+jQcPH+pnkGzl6kInMTCoBdQocXLwUQmQKFevWYNu3buja7du2LBhoz7UHBiVwUHCAZ6amoaYmENYG7kOGzZtwv7oaOzeuxcrIiKwcuUqHYRUmCRPKovLV65g/oKF6NS5C7r36Il169bLAHrQoIiT5FVUVKTfif1WmTCqQuXXSUIkjDNnzgqRnBAiuqL9w79TuZNsOJHEx5/F8uXLMXjIEHz77Qhs3rJFVOSDCmIJgedlv1EJ3r17T+/D+vUbsHnzZuzatRvbo6IQKfeF/yZx8XPC95Hv44TI+71z5049bsuWrdi5axe2bt0q51mv5Hj16jUlcR7L6yaJz5kzF926dUeXrt0wa/YcnBSippJ88trYP/zM0zKhrpTnYc6cOYhctw7nzp9XEqYyvn79uhJqrDSSaGiSNvs0GdQeapQ4+dDzoT0vDzUf8Dffegu/+OWvMFsGyb3k5B8QJwmDD/+BAwcxY+ZMTJ02Hdt37MA1GQgXL13C+g0bMGrUGEydOg3HjsWqkuX5b4hCmTd/AVp+3QrftGkr5BqBlJTUBkOc/N5UYQ9lMqHCK/B6f/Taw8RJsiX5UA1u27Zdfh5BsvQtTfYQCYbM5szMLJlwjmPipEn4/Isv0OKrlliwcCHuJiV97z7wPTw+RZTh3r37MHfOPMybNw87duyU+5iA06dOY+3aSEyTe7N06VK1CDg5htU/78U6IbJp06apBUDiPS9Kkz+XLVuG2UKKmzZtxpXLVx+b55fk3i5evATNm7fAP//kp/jo42aYPGWKEH08nHKPK/cFP4f3/cyZM1ginz9l6lSZYCNVPYeVLJUniXX79u3yHfYKUV+VCTZH+9nAoDZQo8QZHkwkhN27d+NrIbY333obc+bOxV0xKZ8csBzsVE1UHIOHDFWzO+HiRbjcbuTKoKCSmiwDpWPHTqpQrl+/oYOFphsHSY8ePdCxUydErFqlJmGpDBQOuhCBfD+YwL+xVQb/zsHFxt+rgr6/4r1VnZet8mvh3592LCcXKiuqtAMHD6pJTEVFQnwWeD5ep8WSre9bunSZqkCeh30SNr95HPuZfUtzlsq/q6i6tu07YNHixUh6gjh5TrvDjhMnTyrJjR49BqukP2l2c5KyWCw4Joqfk9qw4cNF9a1SN0zYz8z7zPewRQnZksRJrFSv27dHYdKkyZgyZaoo0l3qMw37K+Pi4jFmzFi88cab+Od//gm++PJLnQxp3tOqqEx6fKb4mbvks9aJiqVi5YRLNcrvy3PSZUG30KrVq1X9ktBptof7xcCgJlHjPk4+qDT7zp07h169euODDz+UATFfH+wnByxVEU27Pn37oXfvPmrS05QMk4xdCHL5ihVo0aKFmHXd1HSkYuH5Dwp5DBg4UF0BJAcSZ7EMJJ/fp6TBwccgBNUKBxCJidcXBlUWX+MApGIhmVG9VAav0StqkETOwe5yu/Rc/Bsbf+fnkORDr7v17/QD8vMKZMAzgBEOZLBlimlJsqR6ohrkQL90+ZJeS9iPW5XRzmvnZ9C/N3fuPEyaPFnVFa+9snlLsO947Qy07dmzF0NkUuouk8xSUYB379793n3gZ969d1cJaeCgQRg+/FtRmztU1bKCE4+9cfOmqND5SsAjR45S9U8TmRMbLQv+ffTYsThx4qReI6+V35kuFpJm/wEDlRRJ8hpkkmu7dy9Z3TDffNMGv/rVa/jFL36JdkLunBB43jy5x1TPBK+BpEvCJFHTouH9CpMivy9Jnmp4xYqVWLhwkapnPhNP3lMDg5pAjRInwUFDhcBB0q9ff3z40UeYXwVx8oG+fTtRB2RrGTy9+/SVQb5HfWE8BxsJcPv2bWjdujWaffIJ5ooJGVY00dHRMiAHKHGuUeJMQ6Gc0yLEevPWLVGy50S9XFCfV1ZWppBYKDrPa2CAhNdz6dJlIaJzqn6ofC9fvqLEQjKiqiXx8PMuiApmoIoDk+dmtJ8Dl4OZ35N/Px0Xp+Yj38tBT4JgNJpBlYvyfgZp6K5IECVH0uzStSvatmuHCRMnIvrAAf3cHCHhIrm+qoiTZEO1uFqIdtDgwWqy0udIMmZfVQVeY3T0AfVv9uzVC8uWL/+B8ifR019IV0nnLl0wYtQoxBw6pMRIpU1yYt+SkDp06Kh+yY0bN6lfkZPXkCFD0KZNW0wSU5vfjQEmIl/6gAQ3a9ZsuUfdMUIIl4Gg8ARBRbpp0xaMGjUa3bv3wBdffCn3+FP1WUfId7xx66bef6Kye4JqkpMH7w/7JAz2940bN2UC2KCTCq0Xmv4O+/dNfwODmkCtECdJ8crVq+jXvz8+egpxUq2dP38B48dPwOcyaPr266eRcpJaGBxg0QeiRYm0V5NupAxq+q84aPbvF+LsL8QpamfNmrVISUnRdCYSFU261avXKBGTtEiAJHN+foaYlydPnRZVtUtJ5ZT8Tl/g5s1b1Ac4WxQUTX+SGQc+yYlqjAQ3WdTTrj27kSqDmNdw+/ZtDYTwPSQeBlJIrFTEVJtpVEnHjmHb9u04cuSIkiwDGPTn0e/4yaefYvi33yIqasf3sgeqAomBSm/EiJH6nRcsWKjkVZWiChPp94mz9w+Is1wIhQrx8JGjQmwj0aZtW1WOnCT4XoKkk56eoYGf9qIIqRDZT1STGzZs0ImrVavW8v1n6b2hkid4vfz3fFGaJFxaFOwfpinxmkmc9KNSYdI3OnnyFHTp0hVfNm8uk6hYHxs36kTB/uDxJE5maVQmzspKm8elpd1Xd8HYceMweswYdRWkpoglUvxsN4iBQXVRe4pTzK1nESdVI027YcOGoVmzTzBA1CMHIxVUGDye6TAdO3XGz//1F3K+AeoCoBoicQ4QE5BqZc3ateoDe/Dgoaa5RESs0nZMSItBj3w1nwv1M0kK9KnOnDlbyfHmzVu4du26BqJ4vV+3aqUmK89JJUbyXLlyJTrJNbRq/Q0WLlqEJFGHNNFpCpIMGLXuJtexQEzEixcv6fcvLAzowKd7gecmgfIaLwl5zl+wQD+nxVdfqbnOAA/JmKb+k2Y3QfKir5HRZJqzzCYgkal7olKfhvEkcQ5/CnFSTVIB7hGTP/zdx02YoOqZpi/Bz2Z/U2XS1/zVVy0f+ywZ4KFqJnHOmztPVXWY+NkH/DeVX7t27dFZrpkTEFU6X6Opzr6he4aBJPYBj+3QsaNOKLy3UUJ8zNHlMxFWnLtkoqqKOEvkOzGl7cDBGCXOPn376r2iVUESf5oqNzB4EdQJcfIYDlj6rAYJSX38cTMMFvPz5MmTqkTD4MAgEZI4/+X//hy9RLUwekrVsn//fh1cXUWlMOjBdBaa3BzQVDJUksxtpOlIk5MDmtdAnynTpMaNH4/4M2eUXGhSM+AycOAgVb8kThIiyYymt/pT5bM+/exzjBFFRvKjUuN3IDlTNTK6P2HiJP1cmpgFBT5VhLweBi2oKHk8AypUtz169lTTePGSJWri83uzf6oyK/l3Et5MMXs/+/wLNX13iPJiP1Q2V8N4XuJkQjsJKGrHDunb3mj59df6HdgvnBiIEHFma2Sc9+HLL5tj3Ljx+h0YsONk0poTikwaVOBh4qRKpJtksdwbEidVZ9gXTSILEyfPGx9/BsnJKTgjhEj1TgLn51BdM+OCx3LSeRZxBuV39i8n34liHdAVQiuBEyXvVVX9amDwoqgz4uSgDhMnFefQoUOVFGnmhsHjQ4qzkxDnzx4TJwM6JE76UGk60hRl4GOTDGYq0atXrqqvlIM3PGBoQtJs52D6qmVLJUCmPPHz6OejP2zM2HHqbx05arS6DTgQaf6TbEgMzVt8hR49eikZkQCphM7IoB81erT66OhuIGmT0BjEojqmu0DzH0W1kVSoKpnbyL7p0bMXVq1eo8TwZPCqMvg+9ic/5733P0BPeR+vgZ9RFSE8L3FScfIcYeL8WpTjJDGZSWAkGyJMnBs3bRI12AlfkDjHT9CcUBInSbPNN21VfTKKH84O+E5xLkLbtu2UOKniaQGQOGmqh4mTaU8OR2hV0AkhOt4jkjjV7YQJE/We8v7wuzzNVOd34TWzr6dMmYL2HTrohLZfrAr2Q1UTjIHBi6LOiDNkqp/A0GHDRcl9hiFCnFRrlYmThMFABQfBz37+rxoMoulM05HBIfrNPvjgI3zyyadiMrbHeDEzOchIauGIaxgkTkZrqUboXxw6bJgQ23kdxLwuqkj6MJmQzZxFEiKVIwcnj2FggyqRCosKl2qSpEMinyCf+7kowTZCEHwtISFB02GofmJiYpRA+L1IQvy5Z+8+jTRzIlizNlJzUCuTwJPgBMAg1qBBg/HOu7/W701iJyFURbbVIU4eQ3LnveKkMWmSEKcozsrEyf5kMjt9nJw8pkydpn5kflea6vSN8nf6lysTJ/towYIFSpw01ZlYf1+sAL4WJk66AHhPXa5c7QO6JNjX9FFyMiJ5jpUJjT5rkuz2bdt1QqqKOKnaSarMKaVfnEE0KlT6uJ/VvwYG1UWd+Tg1OCQEQ7OPAQGSAoM0btd3Pk6eh2kl37Rpg9ffeEMHEwmJg+aAKAmmO73zzq/x2utv4O133lH/GFfK0EQkUVYmFQ5o5pcyWZsBDUbxt27dhqSku3gkCpbLNhmgYK4iE75pdj5WrHKe24m3MX36dHzdurWSPD+f10Izfu7cuUq4jC7z+zDFigRO0jp9Ok4/N6wo+b3pU/yOONepCnvWwPb5/GrO0l3w9jvvolcfIU4hl5clTn43muQ0gb8dMQJthWzGi8LjZFDZx0l3BaP5JECSK32HNIHps2RfkjiZ8cC0JaZiEVTxDIaxb9ozOCT9zSAYSdjvL1TipBsjTJxh1wD7iRYFU62YRvXZZ5+r2c7rnzhxkvqu2Rd8BiqrSCVOmZTOCqlOk/tEQmd/MbWKn2mI06AmUWfEqT4wIaeQn6y1RsjpzwqTQZhkSEItW36Nj5s106AKgwQcZCSuvn37oYUoIPrQqIZogjMiu2XrVl3iGfa3ERxYVI5UQcuWLZdrGyAEOAyLlyxF5Lr1GqWePn0G1q5Zoyb9kytPeF00E7t274E2MiipsJgjyaWFTESfNWsO+vTph359+2PihElqulLtUOVSXSsBC54kTi4z/THiZF+RXEgkVJwkkYOiZG22lyNOHkeCo0rjpEC/IJPS6UKhmibYb7w+plBxYuAEsUm+L1U0/cJ0tZBQ2XdU7bz3hKdC/c2YMVPPyzQnTk4OIWTeF7onqiJOoljIk/eZUXHm+L799rv4uVgcJFH6pnl9JE5eWxjfU5zyXfhMMM+XrhPmCxviNKhJ1ApxcqCTMPr274cPP/xQiZP5kJWJk6REJUDfGZUjo6AkSaobkkxZWcj/xnSVL75orgEREg4HDAcICYFkyxQWLsnkcUOFCLkMc9DgIWpKZmR+FzzhdfF3np8qlukzXA3D1CN+LgcplVfinTtqTj9JSFSwLH5BRcYAEoloupACVRddDIwM08Rn5JkEw0TxqKgonTDCZELQL7q7wjTmOahuGYSqTNJPgkRDdcvUrQ8//AjduvXQ7/C0wibha6eP9kniZC5pZRLhuZlDui4yUoNiI0aOUB8sMxRIRlSAXALLoA2DQ0xbotqkSc17PHOmEKPcAypt9gMtBl4Tl06S4LhyiPeJJjtT1Bis4zkZDAr7OOnaCLsGwmB/85h1GzagXYcO+Pt/+Af84z/9s7pLGGx7kjjZfyEfZ7w+D7wPTOanS+fJYw0MXha1QpxUdhcuXFT19/4HH4SWXMrg5IAJg8fRh8jUF6oSpvRwYJMgSDReb76ay0z0pu+Q6935b74nN9elxEHFSd8Z8wBp5m/dtl2VHJd60vQ8fOQILFaLDioOHKorDlIqTirC/UIqXFpI5cvrY94lE+gZECLJ8z1hEuJPEnmkEAwDIoywk6C5tp7pSSRcph0xUv5xs08wWF6jucnJofKEQdLfx8CWECePZfCE+Y4kVB5XFRHy+pkhQJXLFKbOQlSbhezpAqiKcHmtbCSMffv2qx+ZieVUjfyeT05gVKYskkESHDNmjBZN4fJW9jXJl0TJSYYKnYU2qFo5OWZmZWpgicntVKq8J0wfys/3qmKk2iNx0gXCFT80wYuFtEmK7C+utWdaFRcfUJVXBq+fzxHzYhn44/d+7fXXdQUUif1JMuRkEIqqH9fPZJoaCZSrtNi3VfWrgcGLokaIM0wuRGlpUM2ukydP6SqTd997TwbdNFVrJMTKx3LQPqQCFAXBY7jK5JAoN6odKiMOEA5IRlaPHouFW0iHA1YjwaLmuFa9bdv2qjZJPvRtUkHSbGcAiAqN66w5oPjZWdnZQq7bNCpNk5OkTJ8oTXUqXyaqszLTufMJSkok2srExM9mNSIqGZLnmDHjcOp0HJwy6OkTJPmMEpOUvlaqT0aCnxy0JANmCnCiYNrNECFYfjYJneXyCrzfrz9KsM9ILFE7opQ4mMe5YmWE5olWnozC4PtJJI/SMzQhnG4JqsW58+Y/npgInpeNqpMLCOiK4Hr1JUuWiPo+qiTL+7ZlyxY1xUm8jFpT2fF9XN5KNcq17czt5EIEBrHov+R3Z0AnXOSDx1HJs56AO8+tq7FYnIXZCkw5YwCn8kRF8HfeAxYFYeGRbt27aQYFJwOr9fs+Tk4GWVlZ6nMeL+Y8U8u42im8SKDyeQ0MXhY1SpwcsD5fgSY5MzhC1cVo9zQZdJz5ad49OdA5iEmSNMMjRM3Qf8aVLPSfMRCwfPkKHVhM5ymRgUI1kyLH069I8mHQgcdwcJHsSGxcckcfV9++/WVQr9bBw8+m35PnJ4l8ICbvVy2/1og9VSvVH/M7qQSprmhOkzjC0XCCA5WkwBxGkvzmzVt1OSK/E1UUiYwkE/Z/0j1R2c9K8FiSCI/pI9fOlCq6Muiz5Lk9nvwfECfB8zCaTIJiGhOT+MPJ3U+CpMlAye3EO9iydZuo75H6OVzeSnVHhcljwveNP6mEqeipGteuXavuCy3vJ0qRAbVNQu4kzcoRal4nJwz6KPm96XZgMIYLC6hEGUWnH5OTGicXFlHm/eZ9oL+TpEli5QTJvuZCBfZxZZLj75w0+N15HVSoNMdZh6AycbJ/mCO6QyYXZjlwYQFNerpmKh9nYFATqFFTnQ8o1SaVH9NwqDhoRtP0oxoLJz9XHhghsg0NJqYAkXBIbhyITJMhITKgQBOPCdsulxu3b90Wczda1OVqTWjncSyOywIhNDE5+GmOU4mS5Jhew8+mqiIhM3gwTFQj8zaZ6sLKPsz5IxHTh0YXw8xZszSd6Emi4PcjwfCcN2/cfKwo+d05wBk0IZEwYZv/ftK3xn/b7Q45JkGVJlURg0hKLvI9da16pf4Jg59BEmBkmv5TTg5cvsn38LXKIDmTHJl0f/BgjCpB9lOopma8nscvarHy+3hdnCSYGsVJTv2PcjyrUB0+dEiVKpU7lV3l6+OKHX7PW3JPSIb0FTPHk9+JCxro42UfsX/4XrpZ7txJ0mMZGOLKIV6jFjOWayYBPvn9+T6+xjxRrvLi0kpOMOG+5fF0K1AdM22KLgctniLPDj/bwKCmUaPEyYFIYqS6o4+LkVMOHKoJqlAO8qoGBhEegIzgciXNDVFl9OtxQITB89PssomZxsFDX1v43DTfaULyMzIzMpUAmGpEFcjz0PxnJXMO6s1bQqqWkX+qUQY5aDqSDGmu0v/J2pNcG02SCfsEed0kUX5HDsjKpnz4Nf6N6q2gwPsDkiFCxwXlGI+a5uwfKmWeT1VgxXFVgWlJXCJKE5e5ihp8ElUbTgEKg9fE62Cf8LvzPty9m6Sfxc9kP5Fcq7o23h+SFNUyyYxkxYR+nu9Jgg4jdN99Gr3mhEGS5b3h51OJy5n1OBIdJ0m7zR66f3Lv2Pg7fctUnOFJ6knwO/He0+LgObSvKq4/NBnZlKhpYaxatUZ9nbRSwvfOwKAmUSvBofoGXhNXvzB4M3rsGFVfXIfO7Ro4CDkg+TM/36PKlP5ZKmYGjjj4nzaYXzX4PUh6JHiarRs3btTlkSSdqoiwKYCkTaVMNwdT1GhhUM1y4uQ9DZO2gUFNosaJs76CFX7oC2Va0+Ahw9REZroMyZFm8lVRnRcvXlDVwkpGYfO+so+zLhEmRSovRpTpDqAPj4nwjDxTaVdWYU0BvC8kR1oFLCHIlLCwe0ADUZVMeQODmkSTIE4OHJqfDFgx0s6UJa7+YdoKiwLTH0oTj/4x+hDpjw375uqT2gwjZJra1Z/KdeXMj6Q5TRdCmCyaArgxHd07NPdZlYouF7omKpMmYYjToKbRZBQnzXEOKgZ8uGeN1tCcMfNx+g2jtQyIMHJM/x79lFR39XXQkdBJ7MyNpD+ZQSz6g8M+18YO3hZG6UmcVJy8t1TiVKD1wUIwaNxoMsRJBcLAB01aEiMrI3FNNiPITNGhuc6VKswPbCjKjdfI4AsJk0ET1gBtKoqTExoVJ4mSCpPBq6qCcQYGtYEmQ5yVBxQVCYMpHGwh0slXRdpQ1NqT5MB/l5aG9mlqKsTB78nvy4miKX1vg/qBJkOcBgYGBjUFQ5wGBgYG1YQhTgMDA4NqwhCngYGBQTVhiNPAwMCgmjDEaWBgYFBNGOI0MDAwqCYMcRoYGBhUE4Y4DQwMDKoJQ5wGBgYG1YQhTgMDA4NqwhCngYGBQTVhiNPAwMCgmjDEaWBgYFBNGOI0MDAwqCYMcRoYGBhUE4Y4DQwMDKoJQ5wGBgYG1YQhTgMDA4NqwhCngYGBQTVhiNPAwMCgmjDEaWBgYFBNGOI0MDAwqCYMcRoYGBhUE4Y4DQwMDKoJQ5wGBgYG1YQhTgMDA4NqwhCngYGBQTVhiNPAwMCgmjDEaWBgYFBNGOI0MDAwqCYMcRoYGBhUE4Y4DQwMDKoJQ5wGBgYG1YQhTgMDA4NqwhCngYGBQTVhiNPAwMCgmjDEaWBgYFBNGOI0MDAwqCYMcRoYGBhUE4Y4DQwMDKoJQ5wGBgYG1YQhTgMDA4NqwhCngYGBQTVhiNPAwMCgWgD+/31Myz1G/anNAAAAAElFTkSuQmCC)
physics-General
physics-
A wheel of radius ‘r’ and mass ‘m’ stands in front of a step of height 'h’ The least horizontal force which should be applied to the axle of the wheel to allow it to raise onto the step is
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)
A wheel of radius ‘r’ and mass ‘m’ stands in front of a step of height 'h’ The least horizontal force which should be applied to the axle of the wheel to allow it to raise onto the step is
![](data:image/png;base64,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)
physics-General
Maths-
The order of differential equation is![open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses cubed equals open parentheses 1 plus fraction numerator d y over denominator d x end fraction close parentheses to the power of 1 divided by 2 end exponent](data:image/png;base64,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)
The order of differential equation is![open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses cubed equals open parentheses 1 plus fraction numerator d y over denominator d x end fraction close parentheses to the power of 1 divided by 2 end exponent](data:image/png;base64,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)
Maths-General
physics-
Two condensers, one of capacity
and the other of capacity
, are connected to a
volt battery , as shown. The work done in charging fully both the condensers is
![](data:image/png;base64,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)
Two condensers, one of capacity
and the other of capacity
, are connected to a
volt battery , as shown. The work done in charging fully both the condensers is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZEAAAD3CAYAAADc+2mkAAAgAElEQVR4nO3da28c5d0G8GvOs+e1d31Ynx3i2EASDgVEq9J3VSv1XaX2S/SLta8rVSoSUkuFELSEQgNJwEmIk5g4PmbPc35e8NzDxCT27ux6die+fhIqheAd787e19yn/y0FQRCAiIgoBnnUF0BEROnFECEiotgYIkREFBtDhIiIYmOIEBFRbAwRIiKKjSFCRESxMUSIiCg2hggREcXGECEiotgYIkREFBtDhIiIYmOIEBFRbAwRIiKKjSFCRESxMUSIiCg2hggREcXGECEiotgYIkREFJua5IuJ49zF/0qSlOTL92Scrmmc3yciIiDBEHFdF+12G67rQpKk8K9Rk2UZsixDUZSxuSZBURQoijLqyyAieq4zD5EgCCBJEtrtNu7cuYN2uw1d18PG+6ydFAqSJEHTNBiGgUwmA13XE220n3dtogeSz+cTuxYiojjOPER830e328WDBw/wySefYHd3F4ZhQNM0qKoaNphnIQgC+L6PIAie+TqSJEFVVRiGAdM0oWlaIsF22nWJf5bL5ZDL5aCqamI9JM/zwmt7FlmWoaoqVFVNJHCDIIBpmiiVSqhUKsjlcuh0Otjf38fu7i5qtRoWFxdhWRYajQaePHkCy7Lg+/6ZXxtw+lCjJEnQdR2apiXeyxWvJx7kBPEZJnFNz/v5otef1MPk8dcWow+KokCW5bEagUibMw8R13VxeHiIzc1NfPjhh7h37x5M00Qmk4FhGGfymqIBdF0Xtm2f2DBGb+QkbqQgCOB5HlzXheu68DzvxAZb3ORJCIIAlmU9txEOggCapiGXyyGfzyOTyYT//CyvaWZmBq+++ip+/vOfY3l5Gdvb2/j000/xr3/9C7/97W/xhz/8AQcHB7h58ya++uor7O7uwrKsnzSew3bazw6CALIso1KpoFAohPfYWb5fp12TLMvQNA35fB6FQiEcxhXX+6yfEed6T7oO8X0TQSYekob5vjzr9cXPl2UZuq4jn88jn88jm82OJORfFIkMZwVBAMdxUK/XoSgKVldXMTMzg2Kx+Nyn8WFwXRedTgeO45z4dJ3kzSPeC8dxwoAT//ykp7akrq3VaqHb7YbvV/S1gyCAqqowTTPsuSWhUChA13Wo6g+3a6PRwPb2Nm7fvo29vT34vh8GrWVZ6HQ6sG37TEMkCIJTHwREiLRaLWQymTN/UIneW8/riUV735lM5pm9Sd/3n/r8o0HT63X4vg/XdZ95LdFrEJ/rMEMk2qZEfw/xe0mShEwmg6WlJVy4cAEXL16ErutDee3z6ExDRHyQYt5BVVXMzMzgnXfewdraGqampk5s3Aflui663S5c1z3T1+lHtPERIXLa3EgSxJes0+mg2+2e2CgmPQSQzWYxOTmJSqUCTdPgOE54nbZth3+mWq1icXERuVwu/OdndY2e58G2bdi2ferwWXTxxlkSjbdt2yfe76KBb7fbz1xMInrKIpzFHGav96MIM8uywu/f8dcQDyNnMYTs+z48zwt/D/Ed830/vC5FUbC2toYgCDA/P49isTjUazhPzrwnIm5C0zSh6zqy2SympqawvLyMubm5M23cxZcqqfHxXoinJHFt4yT6fp3Wa0uy9yaGYIrFIizLeuoaxFNmsVjEhQsXUK1W0el04LrumV6TaIjF0/ZpPeqzHlYTry+CLXqfnXYtzwoRcW/G6YkAeKq3/az7/Ph8yDB6IuJniHnYVqsFy7LCe0EE7P3797Gzs4O9vT3s7OyEDxwUz5mGiHjKEWOfiqKE3dhcLndmcyL04oouxY6GiSRJKBQKKBQKAHDmAR0N3JMWSSQl+mASHSJ93p/t5WcN8sAQ7Q3EvY44xLVbloVWqwXHccL3w/d9tNttmKYZ9pBarVb47ymeRPaJiC+5uLFEF5PorCSxGCHpVUW9GIchW2EcQjU6me66LhqNBmzbxv7+Pg4PDzmZPgSJbTY8fkON081O6TFO9804NkDjeE3jQlVV+L4fzsXwvRqOxB6lji8jJCJKkpgTGaeFNi+CMw8RMScilmeKIS1+gESUNDGhLybh2RYNLtEQER8anwKIaBTEajPRHrmuy7ZoQCPpifCDI6JRiG50ZIgMRyJzIqILCWAslkMS0fkl2qNx3KuVRomuUWRwENE4YFs0PImFCA9YIiJ68SQWIqJu0GllNYiIksA2aDgSmVgHANM0AeAn1WuJiJIQPcNEtEt8oB1cYiHCJb5ENGrRJb5cKTocnFgnonPl+BJfGkziFeQYJEQ0KtEK0CeVy6feJRoizzoAh4goaQyO4Um0AGN0MouIaBzwwXYwifZExLGqnFgnonHA4azBJdoTUVU1PJyKvREiSlp0ma8oe8IQGUziE+vsOhLRqESP62YBxuHg6iwiOleOhwgNZiT7RBgkRDQKz1riS4NJfIkvwMksIkqeaH8YIsOV6MS6oiiQJCk845iIKGkMjuFKfIkvJ9aJaNQYJMOTaIjIshyecEhENAosezJcbNGJ6NyQJAmapsE0TQRBANu2GSIDSnROhIholLhPZPgSH84S3UhOrBNR0qI1/DiUNRyJ9kR0XYeqqvA8jycbElHiOCIyfImFiCzLMAyDIUJE9AIZyXAWwCV2RJS84yuy2DMZ3MiOx+WHR0RJExV8xVYDVvEdnDqKF2WAENEoiCW+hmHA9314nsdFPgMayY51fnBENCqKokBVVQRBAM/z2BMZUKIT67quQ1GUcGKdQUJESWIV3+FLtCeiqioURWE3kojGAkNkcIlX8RXHUvIpgIgo/UZSO4sT60Q0KlwlOlyJH0rFD42IRkks8WX5peEYycmGRESjEC3A6Ps+HMdhkAwo8dVZ0bIn/PCIKGnRJb6s4ju4RCfWj9fO4uQ6ESVNlmUoisLhrCEZaSl4BggRUbqN9FAqhggRUbolFiLPCgyGCBGNChf6DMfINhuK4SwGCRGNgqjoS4NJNEQ0TWPZEyIauWgNLfZIBjOSEBEBwl4IESVNhAYDZDhYO4uIzp1ogDBIBjOyAUEGCBGNEtug4Rj5rBI/SCIaBQ5nDcdINhsKDBAionRLtHaWYRjQNA2e58F1Xa7OIqKRYU9kONSkXuhZtbO4QouIRiEtAXK8fRzHa04sRIAf3wAGBxGNg3FslKM8zwvL1YuHcEE8hB+fJkhaoiESxSAholEat82Gvu/DdV1YloVut4tOp4NmswnP86Cqalh9WNd1aJoGVVWRzWaRyWTOZ4gQEY3COO5W930fnU4Hh4eH2NnZwcOHD7G/vw/LsmCaJgqFAprNJprNJiRJwuTkJF566SUsLS0hk8mM9NoTnROJdru42ZCIxsE4BEm73cb29jZu3bqF27dvQ5ZlFAoFzMzMoFQqIZPJoNlsYmtrCx999BEmJiawtLT01PDWqCR6BaqqhrWzOKlORONglO1QEARot9v4/vvvcePGDfzvf//Dw4cPsb6+jpWVFayurmJiYgKSJKHb7ULXdfztb3+DbdvhUNaoJRYiYomvqqpwXTdc4ssgIaLzyvd9bG9v49q1a/joo48gyzJef/11vPbaa7h48SLy+Tx0XQcAGIaB+fl5vP3229A0DZOTk9B1feSViBMLEUVRkMlkkMlkwv0isiyP/A0govNHkqRwZEQ81I6iPep2u7hz5w6uX7+Oe/fu4dVXX8Wbb76J9fV1FIvFp/6sruuoVCp4++23IcsySqUSFEVJ9HqfJfEQmZiYwPT0NEql0likKBGdP7IsI5PJhKugOp0OMplMou2R53k4PDzEzZs3ce/ePUxMTGBtbQ1ra2s/CRDgh+DLZrPY2NiAJEkjX5Ul9Bwi7XY7XILW7xCUoijodDpwHAfFYhHLy8swTRP1ej1cvjbIsFYQBFAUBaqqhn+Neu00EY0nsSpLURRIkhRufk56aL3VauHx48e4f/8+Go0GXnnlFSwtLaFUKj33v9E0DdVqFQDGYlId6CNEHj16BMuy0Ol0+g4SWZbhui6azSYAYHJyEo7j4N69e2FvZNAQ0XUduVwOpVIJhUJhbFKaiMbPOLQNjUYD29vb2N/fhyRJWF5exuzs7InXJstyOEcyDr8D0EeIfP7552g2m9jf34fjOH01+pIkIQgCuK77k7XZoscwjBAplUrY2NjA+vo6h8qIqCejaowPDg6wtbWFTqeDXC4XLuc9zbiEh9BziBwdHaFerz8VIv3+Msf//DC6j2K/iaZpYW/Hdd2Bfy4Rvbiibc+oVoi2Wi3s7e0hCALk83kUi8WxWLLbr55DZGNjA5ZlodVqxR4/PIsQET9H0zTkcjnUajUOZRHRqcSoyKj2rYm5GE3TYJomVFV9brslri06ajMubVzPIbKyshJOrI9bCXcxsa7rOrLZLEzT5FAWET2XLMvQNA2KosBxHNi2HY5qJNU4Z7NZTE5OYnNzE81mE61W67mjKL7vo9lswrZt5PN5GIYBYDyCpOcQmZ2dPcvrGAqem0xEpxElmMTm5263i263C8/zEr2OarWKlZUVXLt2Dfv7+3j48CFWVlYwPT391J/zfR/dbhc7OztotVpYWloKQ2Qc9Bwi47CphYhoUIZhwDTNsBKupmkwDCPxYfByuYwLFy5gY2MDX331FT7++GM0Gg3U63UsLi4im82i0+mg3W6j0+nAtu2wgu+gK1qHaTwWGhMRxSROSj2tlJIYqeh0Otjb20Or1UK328Xh4SH29vYgy3I4FN7v6lMRSGLvSS/y+Tzm5+fx2muvodPp4Pr167h+/TpM04RlWZienkaz2Qx7SaVSCeVyeayGsgCGCBGl3P7+Pu7evYsHDx7g4OAgDJPjjaz4/7ZtY29vD19//TXq9Tr++c9/4vbt2ygUCtA0ra/G2XVdFItFvPTSS1hZWUGtVut5E6AkSSgUCtjY2IBpmlheXsbh4SGazSa+++47NBoNKIqCfD6PqakplMtlFAqFsdlkKAx0NdFy7kEQJDLhLvaVcOL8fBqXpy8aD0EQoNls4v79+7h+/ToePHgAy7KeGSKC53lotVp49OgRut0uvvnmGzx+/BiGYfTVkwB+CKSpqSnIsoxyuYzp6em+GnlN01Cr1cKVpY8fP8bh4SFM0wwn0IvFIiqVCrLZbHiN4yR2iARBAM/zYNt2eBKXbdtnFiRiBVYul0Mul0vlemoiGj7f92HbdngSoGVZ8DzvxDBwXReapoXtmBgy6vchxbZtZDIZWJYVe+WqaZowDAOVSgWrq6vhkJx4WFYUJQy3cXyIGqgn4rou7t+/j88++wybm5vY2dkJS6IM+5e1bRuTk5N466238MYbb2B9fX0s31A6W2JiUXypxMQonV+Tk5O4cuUKpqen8eTJk1PLMgVBgG63i62tLdi2jYWFBeTz+RP3aTyP53nI5XJYWlpCrVaLdS+KcJBleeyGqnox8HDW/v4+rl27hk8++QR37tyJvZv9NJ1OBwsLCzAMA4uLi1hfXx/qz6fkRM+Sdhyn5/9O13U0Gg3s7++Ha+br9Tp2dnZgmmZPSzTFF1Us7+SDSLqJo2JFkPSq2+3iu+++g23bWF1dRaFQOMOr/HG4f9iFHkVPZZTD+wOFiKZpmJubw3vvvYfl5WXs7++f2XCW4zgol8u4cuUK5ufnz+Q1KBmdTge3b9/GF198gZs3b8LzvJ6+BIqiwLZtPHz4ELdv38ajR4/wj3/8A+12G5qmnXjviQebXC6HhYUFvPPOO2E1ac6vnT/igCff95HL5c789SzLQr1ex+PHj9Futwf6WeJeVhQFlUoF1WoVmUxmZHMlsUNE/BJTU1PhISq2bQ/z2p7i+z50XUe5XEaxWIz1BCnmcNrtNmzbDgtCapr21KSV4zjh+mxRlkAcqCXWaFN8ruvi6OgI3377LT799FN4ntfTF0CU7RY13CzLwvb2Nv7zn/9AUZQTn/DERGuhUECj0cDa2hoWFhZOfSoU4+2i1yQOLxKvFx231jQNuq6P3cQnPU0sCMrlcmE7ctalRMTci+M4sCxr4J8nhnLHoYLIwANwpmlidnYWnued+S8jgivOl1ScZbyzs4PNzU3cv38f+/v7MAwDMzMzWF9fD8dG9/b2cPv2bdy8eRPNZhNTU1N46aWXsLa2hkqlEpZipnjEAompqSksLCz0HCLiSIGDg4NwHHlmZgaLi4tPre1/VlVo0eDruo5CoXBqrSKh0Whgd3cXjx49wt7eHprNJjKZDEzTDEtUmKaJUqmEarWKubk5ZLPZmO8MJWEUE9SapqFUKj1138QV7Ynoug5d10c6LDtQiEQb9TRMbgZBAMdx0Gw2cePGDVy7dg2Li4v42c9+hqWlpXDTkhhrF+vIr169ivn5+VgHctFP6bqOWq2Gt956C3Nzcz3PoYle4u7uLra3t/Ho0SMsLy/j5Zdf7nmDmDhWdGZm5rkhIspMPHnyJNx/IFb9iGsNggB7e3s4ODhAq9XCxYsX8cYbbyReOoPSQVEUGIYBXdeH0oZEyzuNetVW+pYCxCSGrTKZDIrFIur1Or744gtks1lks1nkcjnouh4Oe8iyHBZlq1Qq4U5RTsQOToRIv/XYZFmG4zg4ODjA9vY2tre3sby8jI2NjVOHs6JOqq/m+z46nQ62trbwzTffhJu+CoUCCoUCSqUSJiYmIEkSWq0W6vU6Njc3kc/nT9ybQOebeOB+EZ2bEAF+GHaoVCpYWFhApVKBqqpYWVnB66+/joWFBRQKhXC9ue/7eOedd1AoFHD58mXMzMyM5W7RtIr79CSOBxUT5LlcLvxMhtGAO46D/f19/P3vf8df//pXXLlyBe+++y4uXLiASqUSPk0CwIULFzAzMwPDMDA9Pc2HDDqXzlWLKA66n5iYQDabDRcGrK6uolKpQJIktNtttFotAMBrr72G+fl5VKtVzoOMEVEKIp/PD/XnBkGAer2Ou3fv4vPPP8fnn3+O119/HRsbG7h06dIz5zpM00S320WhUEA+n39hnzaJnudchQjw47xIq9XC0dERHMeBqqqQZRndbjfcgyBJUrh8jr2PF18QBOh0Ovj+++/x+eefo9vt4o033sDVq1extLT03IcI0zSxtraGTCaDcrnMe4XOnXN3x4tNbmKCNZfLQZZltNtt7O7uYmtrCwAwPz+PiYkJ9kDOCd/3cXR0hLt37+LLL7+EYRj49a9/jVdfffXEYUzTNMOie6ZpsidCAxFLgMWm2DS0P+cuRMScRyaTwcrKCiqVCjzPw8HBAe7fv4/t7W1cuHDhucMX9GLyfR+7u7u4c+cOvv32W7z55pv43e9+h6WlpefuCxLHMheLRQAsDknxiRWBBwcHODw8DJfBT05OIpPJjHUPt68rs20bR0dHePDgAR4/fgzHcUa6IkX0JjY2NsI5jZOuxfM8WJYV7nCemZmBruvY39/HzZs30Wq1MD09jVqthkKhwEbhHAmCALu7u/j+++/R7XZRLpfx0ksvIZvNnno+hQiZJI9WpReDGEZ99OgRbt68iYcPH+Lo6Ajdbhf5fB5ra2u4cOECFhcXw1GTcdNXiHS73XDM+MaNG2i32+EO3iSJL7Usy1hcXMTk5CQmJibCMvHPI0KkXq9DkiRUq1W4rovt7W3s7Owgl8theXkZU1NTbAzOGd/3cXBwgIODAyiKgkKhEPZEe70XeM9Qv8TDy61bt/DZZ59hd3cXlmXh8ePHCIIAW1tb4T0pViOOm75CRPxyW1tb2NzcRL1eh+M4IwkRSZLgui4ajQZ+9atfwXXdU8cPRclncXBNqVQKh7Gmp6exsLCAWq3GYawxFz3HZpgbrTqdDizLgmmap95LZ3UNdL64rou7d+/i1q1baLfb4eFTX3/9Nb799lt8/PHHODo6Qj6fD4/BGDd9hYiu66hWq1hfX0cmkxlpT0SEyPT0dE+9EFFFs9PphCuwFEUJz0K5ePFiWPZkHLuM9CPRaPdauLFXohpqL+dKiDI6QRCEFYF531C/XNeFYRio1WqYmZnBxMQEyuUyarUaKpUK3n//fXz33Xe4detW2EaNm75CpFgs4urVq7h8+fLIi34JohBZL19gz/PC85WPjo6QzWbDidHp6WmUy2U+UaZEt9tFu91GNpuFaZoD/zxJklAqlVAsFtHtdtHpdE7886KIZBAE4UMMQ4T6IYrAXrx4EWtra2F7JEkS3n33XVy9ehXfffcd7t27h+3tbRwdHY36kp+prxAZpADiOHBdF81mMyymNzc3h1qthvX1dUxOTvZ9vjLFI+bW7t69i/v374eLM3p574MggOu6aLVaaDQayOfzmJiY6Om/A4BMJoNqtYpLly5heno6rMqsKApWVlawvr6Ozc1NfP311/jzn/+Md955B6urq09dW7vdRqPRQLfbDav2MkBGIwgC7Ozs4Pbt27h37x52d3efe8b6sImfPzU1hddeew1LS0s93YvR/17TNBiG8czq4JVKBcViMfzLMIyhXv+wjO+6sTMgJtZbrRZ830epVMLq6iouXrw4th/Qi8iyLGxtbeHDDz/EJ598Eg6J9hoi3W4XjUYDR0dH4bnWz6rcGyUalVKphPX1deRyuac2B4qJy8uXL+POnTv45ptv8Je//AXADz1wMcxpWRaePHmCdrsNRVFgmiaPBxixg4MDfPnll/j000+xubkZli1KKkQuXbqEXC6HiYmJvkJEVdXwgfz4/Stqs4l9SBcuXEC5XB7uLzAk5ypEZFmGYRgoFAqYnZ3FL3/5S6yuroZPk+yFJEM8gWmaFlbS7acUvOM4YYiINfSnVfGN/jtxmuLx4MpkMlhdXcVvfvMb5HI5XL9+HTdu3ICu65idnYWmaXAcJ7yHyuUy59BGLAgCFAoFXLx4Eaqq4uLFiz2dsT4Movc8OzuLhYWFvhfkPK/37bpuWD1DHDPw8ssvo1qtDuvSh2rg43GP//1Zl0qPvun9ropRVRUTExN45ZVXUK1WceXKFUxOTjJAEqZpGqampnD58mUYhgHf93tqiFVVDY81vXHjBlqtFlZWVvDee+9B07SnVkyd9DOmpqZQrVafGr4UwTY1NRXuPC+VSlAUBfV6Hbquh2eQ5PP5sKrvsEp7Uzyid7m2tobZ2Vl0Op1YRzYcP5yqn/8ul8thenp6aKs6Pc/Dzs4Odnd3MT8/j6mpKSwtLQ29VtywSMEA3wBxZrDruvA878wPphIbu0RJAE3T+pqfabfbqNfrODw8RD6fx9zcXGrnd9JMnPLmum5fB/SIM9Y/++wzvP/++/jggw/w+9//Hn/6059gmmZP9564h8S9c/zhQQSR67rodDp4+PAhDg8PIcsystksyuUyJicnkc/n+eAxJsTKS9/3YwW6WO152pDo80TbpUHuCfHa7XYb165dw/b2NmZnZzE/P49arYZMJjOWvd6BeiK+76PRaGBnZweHh4dot9uxP8heiJVYxWIRlUoFU1NTfaWzpmnh8br9BhANj/gc45RyEEUxi8XiU6Uhhnlt4gREXdfD3qsocZLNZpHJZBggYyTtC34EsXt9f38/rKohlv6Oa4AAA4SIeGJrNBrhKpvDw8OBj3486fVkWQ7Hp9fW1sLy270S4/CUXuKsc9HztSwLlmWd2cKIcd3gRcMhVmw6jhMeFTGKhwTf92HbNg4PD/H48WOoqorp6enwSF3R2xLt4Dg9xAx8PG70AHrbtn9yPKgYaxabAwfpcookHofD6Yko/Z48eYL//ve/ODg4CMv6r6ysJH7AWBAE4fEUzWYT8/PzmJubC4t7NptN2LYNSZKQz+fH6mE4doiIN9g0TUxOTsK2beRyuZ807p7nodlswvM8lMvl2IfKixBRFAXVapWnDBLRwFqtFr755ht8//33KJVKmJycxPz8fOx2ql++76PVamFnZwebm5vY2dkJw0IUhxVFY3vdE5W0gXsixWIRly5dwtLSUngmuZio8n0f9Xod//73v/HkyRNcunQJtVot/IDirIRQFAW6riOTybDGFRENxHVd1Ot1NJtNZLPZM53TfRbbtrG5uYmPP/4YH3zwARqNBiqVCq5du4ZcLocgCKDrOiYmJvDzn/8c8/PzY/fwPNDViH0Xuq6Hb360HLbv+9jZ2cH29ja2t7fxi1/8AnNzc+EkUZwhKTEeGC3BTefTOI0LUzqJczzEnEjSxTQ9z8P+/j4eP36MVqsVnnckzjjyfR/lchmlUgm6ric+zNaLgXsiJ62IEIFy69YtbG5u4o9//CMMwxhKrSMi7s+gYRDzuNHNr0mSZRkTExN48803YVlW2KaK+eapqSlsbGxgenp67HohwBnvWBdDVt1uF61W6yeT7kT9ij4t9rK5kOgkoqEOgiBcdp7k5mPDMPDyyy+jVqs9tdNe3NtBECCTyaBcLo/lfAhwxiESXZYW/XuiQYgvOUOEBhUEQXhCq1i4k+QwuaqqqNVqqNVqib3msCX2bo3bOB6lV3RjGYOEBiEOqhMronjAWP84M02pwy86DUsQBOH+NtET4f3VH4YIpR57IhSXqJMG/DixnvbyKUkbv6l+IqKE+L4Py7IA/DhMyq0D/eG7RUTnlqhZ5XkeFEUZyyW0444hQkTnllg1KsqMMET6x3eMUosrs2hQYsc6q2DExxChVImunBnkICIi4Iclvq1WK/x73kv9Y+xS6oidxeyJ0DCIBxMekx0PQ4RSJ+nSFPTiEkNYYlUW76n+MUSI6NwSS3wdx2GvNiaGCBGdW6J2luu63KkeE0OEiM6taBVfDmfFwxCh1OGwAw2LOPOIARIfQ4RS5/iXnaFC/RL3jOiBRE9Mpf5wnwilEr/wNAgRIq7rQpZlrvgbAEOEUiW6pl9VVciyzJ4I9U2UOxGnrUbLwFN/OJxFqSPLMjRNQzabhaZpo74cSilR8QBgz3YQDBFKHTERyrMfKC6xKkucac45kfgYIpQ60WNM+cWnOJ4XItQ/hgilEr/wNCgxnCXmQzgnEg9DhFIpukSTqF+iJyLmRDixHh9DhFKLQUJxiJVZtm3Dtm3ePwNiiIm1zTEAAAeCSURBVFAqRQ8QYiNAcYjhLHEvcV4kHoYIpY4YetA0jUFCA4mu9BP7jqg/fMcodSRJgqqq4ZnYDBDqF1dnDQ9DhFJH7FjXdZ37RCiWIAjgum5YAp4hEh9DhFJF7AvhGDYNyvf9p6r4itMNqT98xyjVGCIUh1ihdXxinfrHd41SKwgCLvOlWFj2ZHgYIpRqruvCtu3wdDqiXkR7ItyxPhiGCKWa67rodrthSW+i04iHDbFjneeJDIYhQqkTfXL0PA/dbheu67InQj2LDmfRYBgilDrRJb4A4DgOGwPqy/EQYUXo+BgilDpis6Fpmk9tNmRPhPoRDRHOicTHEKHUOX4oVXSVFlEvxMT68X0iDJH+MUQolaKbDfnFp35FQ4S9kMEwRCjVOJZNcTmOA9d1oWkaNE3jfRQTQ4RSS0yOuq4bHi5E1IvooVQiRLhjPR6+a5RKYjii0+mgXq/Dtu1RXxKlhJhDE/Mhogw8eyHxMEQodaK1jsRmQ7FPhBPs1IvonAhDZDAMEUoVMW4tDqWSJCkczmKAUD9c14XnedA0LQwRBkn/GCKUOmJ5b3SfCAOE+iHmRIIggK7rMAyDcyIx8V2j1Dl+siFRv8ShVCJERK+W+scQodQRX3Z+6WkQYmUfwKXig2CIUCrxy06DED0R3/c5sT4ghgilWnSVDVEvxD0jQiSTycA0Tc6JxMR3jVJJTKbbto1Op8NS8NSXIAjC6s+KorAnMgCGCKWS+MLbto1WqwXHcUZ8RZQmoifiuu5TtbMYJP1jiFDqRCdBfd8PnyjZE6FeRHuxnufBMAwYhsEAiYkhQqkjlviKtf2cE6F+iYl1z/PCiXXOicTDd41SR1EUGIaBQqEA0zT5BEl9833/J+eJcDgrHoYIpYr4kotDhPj0SP0Sw1nRUvC6rjNAYuI3kFIpWomVqF9iTsR1XRiGAV3X+UASE981Si1R/8hxHM6LUF+i+4uiR+OyN9I/hgillpgctSwrLF9B1ItoAUaxxJc9kXj4rlFqSZIE27bRbre52ZB6dnxORNd1zokMgCFCqXR8nwiPx6V+RPcXRc9Yp/4xRCh1xJJMMY4tlmsS9er4Ges8lCo+hgiljqIo0HUd2WwWmqZxGIv6cnw4K/pAQv1jiFDqyLIMTdNgmiY0TRv15VAKidpZLMA4OIYIpY7oefBwKhqEGAIV+0R4H8XDEKHUEmv9xdg2h7WoV9FDqcTEuih9Qv1hiFBqiXHtbrcbLvFlkNBpxMOHmBNRVTUMEeof3zVKpejkKA+lon5Fl/jqus4lvgNgiFDqRM8TETvWPc8b9WVRSkQfQEQpeIZIfAwRSiWxVwQA50MoluPDnwyReBgilDqyLENVVei6DlVVR305lGJ8+BgcQ4RSRfRAdF1HLpeDruujviRKoWgVXxoMQ4RS6fguYzYG1I/oeTS8dwbDEKHUiY5dR0t6E/VC3CsMkOFINEQ4cUXDFD1PhEFCvTr+EML7ZjCJhgi7jzRstm0/tdmQ6DSiDeKcyHAkurQl+uEpisK1/dSX42UpopsNHcd56gGF99ZPnfcGU+wtipbJOe/vyTAkFiKu66LT6aDRaMDzPMiyzDMgqC9iZ7E4ylTsExFDWWJ4S5RCoR9Ez6I/z+EqQqTZbGJ3dxeWZXGIfQgSCRFZluF5HnZ3d/HgwQOYpskQoZ4FQQBJklAoFFAqlVAsFqEoShgo0VMOO50Oms0mDg8P4fv+uW8kxJO34zhotVqwbfvcvifi9261Wtja2kK320U2m2XNrAGdaYhIkgRFUZDP5+E4Dj766CNsbW2FZZfZlaReiDBYWFjA+vo63njjDRiGAdM0w82GsizDcRwcHh7i66+/xhdffAHHcaAoyoivfvSiZT7O84ObaHMsy0K9XofjOJicnOReowGdeU9E13WsrKxgaWkJT548gW3b/GJTX6LDn9VqFa7rwjTNpwrniX/farXw6NEjfPvtt7zX/p94mBN/nfeHN7EIY2lpCevr68hms6O+pFQ70xAJggCZTAbvvfce5ubmoOs6a/ZT30SILCwsYHV1FYVCIVycEZ0b0TQNlUoFV65cCXu/wPleWh4EQTj0J44TFv/8PBNDoNVqFeVyORwypf6deU8kk8ngypUrWF5e5u5iikV8wUulEsrlMgzDQKfTgaqqKBaLqFar4VG5ExMTME0Ts7Oz3Dvy/0Stsejw33l+X0SAiPI5mUxm1JeUamc+J2IYBmq1GmZnZ5n0FEv0KVH0OiRJgmmamJ+fh2VZmJiYgK7rMAwDpVIJ09PTo7xkGnPRtojt0mCk4Dw/klBqeZ4Xzn88efIEi4uLqFarrOpLlDCGCBERxcYF0kREFBtDhIiIYmOIEBFRbAwRIiKKjSFCRESxMUSIiCg2hggREcXGECEiotgYIkREFBtDhIiIYmOIEBFRbAwRIiKKjSFCRESxMUSIiCg2hggREcXGECEiotgYIkREFBtDhIiIYmOIEBFRbAwRIiKKjSFCRESxMUSIiCg2hggREcXGECEiotgYIkREFBtDhIiIYmOIEBFRbAwRIiKKjSFCRESxMUSIiCi2/wOFpEFi1bgZsAAAAABJRU5ErkJggg==)
physics-General