Physics-
General
Easy
Question
Two blocks
and
are attached to the two ends of a spring having leagth
and force consiant
on a horizontal surface. Initially the systen is in equilhium. Now a third block having same mass
, moving with velocity
collides with block A. Ln this situation........
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATsAAABOCAYAAABfRLEBAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACsISURBVHhe7d0F1GxV+Qbwg/G3FbtFxO4ExcICCxOvoqggBmIr9hUVETHAwMDAQEEJERUM7KWiIggWJraiYoGK7fzntxfPZXOc+b6Z+e7MfHc4z1p7zZlz9tn5vs9+d56N/va3v/WaDh06dFhA/OIXv2j+7//+rzn/+c/fnOesex06dOiw0OjIrkOHDucKdGTXocOEOPPMM5tvf/vbzcknn9z0et1o0GpHR3YdOkyIU089tdl3332bD3zgA81f//rXjvBWOTqy69BhQrDsfvSjHzX/+Mc/mgtf+MLNRhttdNaTDqsRHdl16DAhkNsFLnCB5j//+U/z3//+96y7506wapXBarZuO7Lr0GFC/Pvf/27+9Kc/FffHP/7xXNWNrcldvv/yl7+UMvjXv/511t3Vh47sOkyMtOYsm9q6ca1r53eRQbHPOOOMcs3Kk39jd7/61a+af/7zn+X+IgCRffOb3ywTMT/96U+bz3/+883RRx/dnHLKKWXc8vjjj28OOOCAZp999mm+9KUvlTKoyXC1oFtU3GEiGK/ShaMIv/3tb8u9y1/+8s3FLnaxYul85jOfaS53ucs1t7vd7cqzRcTXvva15tGPfnRzxzvesXnRi17UXOQiFykk8NnPfrZ53OMe11znOtfZ4MfxNGgnnXRS87KXvazU+RWveMXmmGOOKddbb711qfPjjjuukCHc8pa3bPbbb7/m2te+dnO+852v3Jsn6kXFcyW7WAYKTmtAWAz4ai1ufvObF8Xh54c//GGZ4r/RjW5UClHiO8wPLBqzkLFsWDLq6RrXuEZzk5vcpJCAGUqK8YQnPKHZdtttF7LO5POxj31sc+c737l54Qtf2Pzud79rdtttt2LdvO9972tue9vbLgTZIbc99tij+c53vlP+y1N09zznOU9z3vOet1y7h1QOPfTQZsstt1wVdV6T3XnXrl37orPuzxwK589//nNzxBFHNPvvv3/ziU98olx/9KMfbb761a8WkqNIFOuDH/xg87Of/ay5ylWu0lz5ylfe4IVoQ4U6Y7mxaD7+8Y83X//610sDpWXXnTnhhBNKN+fvf/976fL88pe/bO5yl7s0G2+88VkhLA4o0mGHHdZc61rXam5/+9sXgjvqqKOaW93qVs1DH/rQ5qIXvehCyClSp5vq/YY3vGHz1Kc+tdz//ve/31zmMpdpHvzgBzfbb7990zecSn1f73rXa2584xuvCrLTGCNjbu5jdgroxBNPLAR35JFHloJFcroDCHDvvfcuxKer9LGPfaz5whe+UBSO6zAfEBxjcrqpz3rWs0o93eEOd1gnVG94wxuagw46qLn+9a/fnHbaaYX0FhGIjGWD3Fl073rXu4qF88QnPrG51KUudZavDR/GXumbbqm8IfLHP/7xJf+bbLJJs/POOzcPetCDimUPSNDkzWrDXMlOARIO3SEDule72tWaHXfcsYzzUJo//OEPpUur5dCtZQX+4Ac/KN2FDvNDJh7U16Me9ajmnve8Z3P/+9+/WN3bbLNNc6c73ak4UGcGshcR6cJ997vfLV03jfRd73rX5gY3uEEZz1yU3oc1hBe60IUK2SG0C17wgs1lL3vZkj/5vOQlL1nILTOxGsLViLlbdkjOlDXc7373KwO9T3/605srXOEKpSDd22uvvZpnPOMZZQzv97//fXFIssPsgeh+8pOflIbKOAhFoPDlVIm+8mugPKMIrD1jsbq5iwj5VB4UnRy71nVVDouEjMfFkvWrS1vDcw4ufvGLl9/VhlVh2RES/XsTFJxxAULjHiuPQhnsNjZC0X7+85+vK9gOs4X6Yl2D+on1EmXQSCE/1+pMK69xWkTUCp7fL3/5y2WcaJEaY2TOXfWqVy0GCGQMlgzQVdYep95Z86sRc2+CCAXz9xKXuEQxh0Gr4b6Ccz/QqrDuFG6H+UCdhOSytMA1guMogV/QSKkzVt8iQj6j/IDwdNl1Z8l0CHBDhzrkMnyhvhklIJ9WU4D7UJfJasLcyU4BUQYEhsjAeABTOIrCTwrc/9WwfufcCnVhBk5daMkDiu8eROhZA+4hx0UEWdRAy2Maa3k2ibZIi4oDJJY6juUaYyV1Dqs173MnO4WHvCiOQVBQcLEeYhWky6CLwExelFZzQ4M6ufSlL12ua6Gm5AS/boj8T/0uIhA8mfVr6cl2221XysYYpfJYFKhH+iafIbXUqV9loJ45z1drz2vuZAcKE4nVg56nn356+W2by4guZnOH2YNAW3ICtUJrnChDDRb6IoNMmlyzi8AsrLWHZqgtRckkziLAmslMwABCY5yw9OSRHCSvbVJcTZg72SlAa+0QnZk8qIUkMzsEy9Yk/rlFEaQNDYQ4DZDJh9RDiE49BUjAc43ZIgIJmHyxnnDzzTdvrnnNaxaC13Bn+9QiQD7Vta56LDpyoNelbttW7Grtec2d7BSKwmIxtC0DzzLYme4QEznd3Q6zhzrhCPqVrnSldS14ZuTyHAi9urX8ZBFB0TXU5FJ5kFGWnf8W1mqUF4HojdEaj7QKAvGpX4YJay9lQA4iCxl6Wm2YO9kRDC2GFecKtY3f/OY35RcRUqZ0Y1Ows4DKVam1VRmFDvyPcHPt54sCeTPbmMbHr7pIfmuhV1euvbOIoNRmn1k9UXj7ZE202U2xKMe12yVhGRH9S90iP9vC7IW2fZMc0GEz8N0ExQCk4DL20V6PRVDStVWY3DzIxI4Ne3YdYWMrlP2Q7a70r3/96+YlL3lJ2e3h0IK6O7dIUGfyTslZdhohzhqsTTfdtChGJpfsj9SVTbd30SD/a9asKZMTV7/61Qv5W0i95557lp0lyoLMbshQj9a9OsnkkEMOKTso1Ddie/Ob39w897nPLT0txG/h/4c+9KFm7dq1q7LO53rqCaWx5/WVr3xlIRD7LJ/0pCeVsbmHPOQhZVbr7W9/ezk2xp5Z+/F0a5EKoZqVuewIG0fcfOUrXyktuG1Rxx577LrdA+BIo+c85zllYNopH6973evK80UDgtc1Pfjgg8vJFoSfQruvUTDGqo4oCcvOQQH+2xy/aEjDC+RAnpVDGkH/uUVFnc9g0L15YtWceqJAJMJ4D1PYvkozfe5TGueBOTGD+UzBdF/vdre7rbs3qwJlndziFrco3ZXvfe97JV6KHssG3GPdWVRKAWyWXsT1ZfKJ3FhtWWOWetCas27yX92qV41D7i0a5L8ug/p3UfMcDMrjast3ferJqji8U2uAIBRSrIR26+g/S9B1CGaWEL8TPO5+97uXcUTdFOZ6JlB0W5335XwzVqc9voto2XXosCGhtuxWxYBCSI5r/3ede0gufmYN8bNctthii0LMut8hZPBcgRrL2GGHHcp1hw4dVg9WzehpSG0p8DOKv2kBgT3iEY8oJNdeNIoAHS5qgsJ6q3lYnx06dBiODXuqaMZAdqbakZzZY5MVgaOrP/nJTza3uc1t1m2f6dChw+pBp5FjIF3VwH8TJz5I4mife93rXmUJxjytzw4dxoFxcOPNtSPT7sf53/YTf7m2ts6CYwaAiUS/2Xnh1z3+6t7QrNF9XWxMqGAzkcbvrClSgT4uk9lkM8uLQna65u1xSXCvvm5j2LP2f/7c49pjtCtFwo0DYdcu9ym0vCa/nplVrociPKuVlR/P+Qs8q8MK5CsLsAP+2spf+xM+CIfMJbzEy7mOv0kgfmcT+m6ERhwpid9KB3Jsgg1J2cqJvJIGA/4m5qQdmQnHM8fvW5EgDKspOL0cYfiWjBUNFl27t5J0j4NV83WxcRBBIghtoQlqwZBBhb6+C1X4u+yyS/keho3fN7vZzUqFq0QnXsyqEqcNAvrjH/+4rJ0jKFFE9aB85ZPCuc62Ic/4jfVLSdSP+951uEOUhoIY26QElgdYxmMtnl00/K4EwrdW06y5sVVKKE12AVj8y/qm0LaxyR/L3DrJb33rWyW9Jpke+MAHluPmKb10O7bpne98Z5mYknaLqlny1oPmaCd5Ec6nPvWpdWfaeWbow7H1N73pTUt48quBfPe7313KGKkoX4t3ncx961vfurynDix1ev/731/22vqvfHy6UcN63etet+Sj1odRIb2f/vSny6qBHMYaqNtajtUf1wY/uR8/+Z/344ezbGz33Xcv6a4bkmlipmQnk1oM++ryfVHCnCUbhH+U7SUxk7UKITFhE9hUNj8ECfk41dh3K3KQwPoCIUFyPg5EOK0gt4LeFqFaQDZ0IADfPrXlibAgEHWmjDnCSkldK+8ayoL/7IlVX+qI31oZCCBCAGsZn/KUp5Q4IxuTQLx24miMDjzwwOYb3/jGunilg3VhpT9ylUdfrUNkkSPvcwhRPRuD9RU127/s5uEn6da4ISfLkTxDhha/i0/+yCqZ9d8nQHfaaafSOCLDt7zlLYVEhWXnifT5Lx3kSbwW1SM6JOd5ZN6vtaaIgwxO0jhIk4X8z3ve89bp5bSx1VZbNS9+8YuLXk6S5kkwU7JDDj5I8upXv7oITYTAflgVR0gQ1PqA8DiKSKh8u8Lui/UJ+dGa+zaoLy35XoaCnKR1Xc1wTJGZ5Ry7pd5A+QZRvvUBZegrVS996UuLfEwCaWGp+aThG9/4xkIcFMu2LTJGwe2CYQ05Ph6RIxLkShFt4veOzwZaUykdCA0JqXcEZMcIMrc7hCVIDhA1mRM3K873jTUETkBhWQqP1ec9jS9/4kW8rLh73OMeJe3IF0F7h4WJdIXLEmKRsiZZjKxBDcyzn/3s5uEPf/g5TvMeFcpCg43sdGNnAcM/vq/rOCwENAvMdAeFStOP/8hHPlKEQyUTPK0JgdLd0EquL0coxUmotH4EeH2CUL7nPe8p3Qnbw3R5Fo3oQBfQ5y1DdvLdJrb2/5UAcermqTOCOSk0rG9605tKI/qABzygbD/0mT87XlhMehK+2I9QWF1IBKlrtBy+aUE4okI8SEn+5dMe2Gc+85nFb76ehgiRJ4VCiIiQ1Whhua/lIzKNLdLyOVBpMotPRn2BjOJbnC4NCJmFRydYh9Im3nvf+94lD+LXbfae9DlVhR8f4kZ2aYxGhTQpK1Ym4p4FkLU60OuaVTcW14iLm7qWIgLjFNysoOK13tMwleVHd4vgI9JFJDogHCvpTs4DFBhJs1Tue9/7lo85syaQg24rQrFO0mkdQE6Qmz3XiIq8kFOkxzqLH9sWbf/zXukO9e/5ZcUZh8o9DSyZYEmQC/cy/sdyDMRjDM8CdeXMX/yKN2O//D3ykY8sDQBCNI7Hukz3Ginae8xKm6ThCQnMCtIYNw9MXVNlTGvKzRIsSEKwvkEIDRBzi0p0IG8rsbDGhbiQq/KdFLqgxx9/fLlGJGbIS4vez0vqCvG5Ry7FhdzqPb38Iauc2sGfLmgsXEgaWWjkDLxnoL/9gWh+9QJMxiR8To+mrfQsLON0nvHjubWbISXv+0XcSBa5yi/daoc1CuRzVt3J1YCZkB0hVIGzgjgRne7sNJAxgAj9IoLCqrdZQDkioZXMZqtz3Tr7k5GBCYF2WEjhrW99a5nhBO/oWoawAnKju4kA1TWi++IXv1i6td6JfBmLM6uKMHXNWJYG/XVpA34RmK4zfyxIY4HGRGuSij/dXRYeS1CZOFapJk9AhMJxaIaJv/YE0agQjjyeWzB1siNws25BCA6BI/wdJgOFn1SJJgErxUD/ShoQBOR942XIpwaZQN7OYDM2ZibTJBYSM34XGPc1buaeMT8zrL5dbJyW1RZyQlQm3MgYfyZFjNEhsVNPPXUdQQlPt9rEwvbbb1/OQzSDygpEniBMzsSDsxDN8DoizHic9xGy3xqI1TvuJ02rHfM2EmZCdgSZmxVUvta6LSAdRoeym6VlFytqUkVQ5wgIgbDqdPcCzzhWHWvGeJmZdNYTYkMmyAMQpvMVzZwaa0OcJiOQvwbUr7D4M8mGOM0uGqszAO+ZrqeGwjXL64ADDigzs8b4zA6biIG6KyvdzkiUB+N2sU6Vy/777/8/1p1JCRYia1GeJoE8zNIgUL/zHAeeCdkxx7lZIQoTQeowPpRhTRjTBoVdSXzICnlI96A1j2TBejrPsop/s802KyRkoD9dVGTGCkM2ZnApqMkAEwRHH310aQD44d9kiDBYftLPYtMVz6QBSBNrzUSJcV7hGb/zm/FFaXcOohULzv7TPRWeeKXzve997/803PJhEi7kOwm8N0sdSR2362ZWmDrZgcpMyzkLKMy0tLPGrAVoWmBRULQNBcjAeB20FUp9IB1jdcjIxIXnus0mD7wX686vCQmkk90cZmGty7Mujd/4Q2gsK34osvVySBHZsQL5Q4q6tcgTMfJr8gShIU/gL0uyzPzmOHfdYpYQgg15BshSWN7z/iQy5z1uFCgv5UqvNBDyibQthTFkYJxRepYiMu+vpEFbKWZCdjKo8mYFcRHoeZBdBHxUIVqtYDG0FWwUEPbajQrlJc5J4d0sjm0rlLBtGZMenz3MujRDK2ZdkWDIyVida8s8AqRvrElXEtn51VNBON5PXk0aCNu6UgSHgLMdDMkCf7q+tq6xzkC8uq/kFinGb6w2zxFwDX6FNSu9Eg/L1acTrA+0+Nui/Ze//OXl+vnPf35ZU7jUDH56eNI9D8ykpFR6e8xhFBBahUfYCCYB1NK5v1yBzWuCgnC+/vWvLwPR4l9JN2OeUF/jlp/6sS7sBS94QVkLpqUfBcpHfBnnmhSxdtpDJiExMlN/BMeYGGsLMbGexI1UhMGCCbyH1MhdSJE/som4Qjwha+G451eD4d18WJw/+WTFIULLTeSd5Um2yXkIg9yzHEG8gTASp3cnLTPlxY0CcRlvtDVuxx13LJMyvrViDaBf9W0x9VKn/qgXXe95YepkpyJUqMocBwpMpRsk9rEb4xb2J9qLutwKbHESDq3lrEERCKwlCNlkPakwzhvjplvLb4GuFf/qCZGMCkTRHpcaB+QFMZCLdndK2LqW8sPiD1Eg51hRySvSI3e6aQG/umnIiD91rPsovnoyRLzCD+GKB9GlwQ6EJ012XiA9hEVWEYEwPee8o/sM9fuQBt+ymJDsuJC+pfSoDfWTcvJbO3l2OIEtcAhU2tpQJrGE54GZkJ2C4EaFwlAJdinYOGz1upkzA8uPecxjyjYt4wVLwbgCwRE/YSBQnGuOwLZdng3y37436L08s8TAF9AOPPDAYt77Opn7GxIo9rjDAMa2dMOUu/EwY1OjQp1TvknhfTI2TJHc58hD/IgPiXgv9RPC9Bvwz4LT7dSICkO9AwJIeN7L2FW2mbHs/K8tGnEKz33vsKCtsVPmdbyQ5T8mQ2p4j0OkiX9cRGZHBUKOzCsHRsjee+9dtswJRyNPL4cRmvJeSR2vFFOPWaZTQKPCO8x+5rKBYgKQVogCMqUJyzB4Py0q6HLY9K0lNT5jTCWWX9LG8jTorEtj7IfwGZ/R1fC+I9ftJTRzZzkB/95TyQTbPWE7isceYPdYCRaTOson3aQNBW0FHQUsuXYXchSoL/ENswhGgffUNzkRVg33WGp+2xZSliipY3XJj7Dq7p3/LCzvOlEFSeR5O716MZ6r78gVMqu7oeIg19KrjD0nP+Qj8Qfic186awjb/ZDrJIjsjwrjkXRQ/izjedWrXlWW6ejBOF1Gus0gs5blow1lwc1LD2ZCs+0KXA6EwEwUxVEwBMh6qBCGFgQZEpRBhSouRKZV/NznPlc2UCNISwlss2FxWMvkl9mdWSWLTMXLn7VV3rFcwD3LC6y5suDTtS6b0yjMnlk/ZQGo59Zw2X+50047FaEgyAjyhBNOmFslTwJplf5RoLzVBUKoSYBFjiAG1VGNxFV3k8aF97zPkqJQNSi0Bsxvexwy8SWdGklIQxlk9jVDIyytkMWgNCMh4SEIftoWlLTGOkNW/PHvf42MgbVP7xFn7SaBcLlRoezUk/xo1JUHZ6kOQwBMADFOBoWrDEaVqWlgJpYdAYoQjQIk57gfCqQwnem16667NocffnghMGE6QNPs1zBFQoaxMpCjawKlextHMQm1LpeWlmDFGaDm3DcO49fgNue5e8Kg4LV/5Mfq5I9QEF6Vr4uyIUG621bQMKgP5V0LuV9lpEFYjuyAwiqvSeF9BALiqwnAtdlY4dezrDUsM/GemXQKqXENvI/sKLsxOmBxia+2uJKGxK0MlKPfugw8Fz4LSNdYfLanebc9SSNeqLuxnod06Eftf1R4B/m0SXgp0BV5kU49IJAGjQvL1TPpHUZo0Tf+5oGpkx0oHG5UGPfhUnivec1ryqmqyE5XUUUhFCQ2rOAoKrJkcZkiZ3I740yX0mSH7T9+jzjiiHK8usMeBzlrofjxO+h529kr6WikffbZp1Quq9E4o1N451XJk4AAZynHcqDISD6D6QFF50Ylu0mUNqC0CC0k3S7rkAOSWopUWVnCQnqBdJFf7yHFhC0uMlajziv/eiPiRkqBsJCXYRWWooZQ4yjejNGBePNeTXbij1sqL8shZTIqQlQI3u6RpCEQFh0wJDCI8OhDLP95YOpkp8IIULtbsBRYCN5ReLp/xsu0qs4Yc+w1AXLPTNYwBdFSeke8jvHR/dQ11X1lbei2UlDWGMuO1TfIEW5Wnd9Bz9tO2o3XWYAqXAd96kbLTy0Yqx3KflgL3QalV0bGU7XwdgaoF+VhWcIoZAcrKR/pzfrGtkwIlxXuGdLIc+Qij1FaTp153s47WUNSZE9+5JX/5fImHO+l+yzshMPylYYQtPvIr05/uuT81vCO+BGl33HhnVhaoyJlIu+OrI9uGPZh8Spfk3HDGhRlNaosTAMziVnrVLdYo8J773jHO0ohEwBWng3XFjbayK1lbAvlvEGoWZI2ie+xxx5l/G6QpbGaoUzlo1a6pUCALQfSLUN0Bq0pKavH2CbFXA4rLR/vK2dyZoy3TrtnSEw63c8z8oVgMpnFn26u5/W4n/9IUth6FPyyxLzvfq3YyJ5/4YoP4ac8A2EjO5awxlG6Te7U/oQhXGlSfu1lPNEJhLXSshsV6WJruE0eWlDMmaAwrm2Zle45P4Pg/Viq88BMLDtmbwZ2R4ElDMbYmMqOvRYGp/INjCJA5vJSlh1hGNS6TBvSY3DaRnMLL41lzbM1mwTKrVbO5UDh5JOV4WQQs9GGGyip+6yq5ZB6TF0v56SRy39Q7uq9rVDK34JYpJB1jxz5YoXYmO9dz7OzQT4iQ5SUDBsjRt7IDnkiVfKYdPDvnnIQhvzzpyz1NBKeAX3+kJ04+VdOnusC8is8jTvLT5raMsQvx4/0tZ0y8Cvu2uU5fdQDGUcvlYH0SwtLzgnQDknVW0LY9gCzroeRrzRxqa9ZYyZamEIfFWZItYjGjLSQkxSO1mcUi2J9Q6XvtttuZSeBNGxoRAfKm1CPCkMBxli9g0DU9Yknnlj+U/ac8rEUKBLlCyFEmdPVrP+373HkJFvC2uNC6iFpsJyIZSUOyyUoqOGMkB2SYqG6b6hEuJYPIUkz+Z6RK0SlnPhBUK4tb0Ke5DcEZVw55cIKlHYLnOXXcAqIl4UnbGEIU57Ei4wGWcfeEaeZfhN4tnA5jt74NmPAGs9999239C6e9rSnlfWetnVZF2f8mr+DDjqoEOsoEBdrVPpdc9Iob67l1TCRvLPoBxHeuDywvjETTdRyZWZ0FFAQ76yEKLw7qMCnDUJpLGOpyZPVDuSgsRkVrBJ5Boqq9aa0lEAXERkuBf4QnckdikhJLcq2G8MWJNdr164t1rLuk4bEpM/DHvaw8g0H3WZLfUw0Sbs467J3rREydoqMfNBcfLrctpHpgqe+EKXvTCBOk1nIRLgIzRKjKDJyYtHw50w8BHrUUUeV/GfZVPyZrddDEQ6L13cfkJhx46QvlhKSdToLcnX2HlJ0vz22Jh3yJBxdSefuITIftkJwyO+1r31t87a3va059NBDy+4jXzRDiPvtt1/ZzuigUOQ1KhBbGiLkrVFXJ05rUeeGAKR1kCUK0sqp77mgH3lvmq5vrvf6LVRvq622ksOR3OGHH97rC0/vpJNO6vUFt9cnkIH+hrm+wPa23XbbXr8yB6apc0u7M844o9dXkFL2g8q3dn1F7e2yyy690047rbidd965t8kmm/T6itDrWw29fremt9deew18t+2E1VeSUt/jury3zTbb9PrdxF7fCjlHnvqk0TvuuON6fTLsbbbZZr3tttuut/HGG/f6Xexen4TKc/7IXZ9oen0CXBcmedp88817xx57bHnOH7nuW0blmfC22GKLXr+BKOH1u/Hrwuv3Tnp9su71Se8c4W266aa9U045ZV06+e9baL2+tdfrE2+vT2YlrX1rqdRHwovffve1t+uuu5Y4hanslnLiFq9w+0Rcrt0fVA+DnDi23nrrXt8aLvW85ZZbljCkUXp33333Xp8Ai+uTfXnWDqNvXfeOPPLI3umnn74uL9N26rLfIPX6jVVvJpadFogbFcxdrYdWepJWwDu6H1qhDuNDufUFZaSy7wt1sV7UFWucVWH7kL2xuael56evcGe9NRh95Sv+Ms6na8lizH/Odf7nV/eP9WT1vr3U4hNWDf9ZmBaKG0RnhckjS4TFFv/SyDLMPWXg14y+GdH4kzfdS/tBWX0sQOH5tKH0xB+L0bsmGBKeMrF/uLb+/TrzzpZIUAesa11PaYq/QLmLy3d2zYxa2jTIsTL7RF3CNVnm04nCZBmzLFmI40D6pS06yjI0/milhF0g0tlOa8A6zUTQPDB1spMx4yDcqGAiM4t1DdpQ8QpsOcUxNjCOid7hbBDiUcZW1C1lUbeu1QuCoqS6cQjBfTOXxsyWqzPvWqpifMmMe77L61qXyWcKfSvVnmn/3XftK2K6utZh7rDDDgPJAZCY7rCtYxrDEKSlFIH3EC4SNKYmDyYmkBpyrfOA/HyJDCEjAeE60877Qd8iKqSim82/skJ+8slfnU4kbcDfrh2TdHagKLt2XvwXrjK1d1w31U6hQc76VGN/H/7wh0v3VXlZkI/wjOUNW2Q9CMm7snPYaCDvypZB43oYkDvZGFQ3s8DUvxsr8wZBFbrB4VFgIFjLahrfQGsGQsGWLgKmddRCe9YuYJVCkAyYEpYO40FZG1sy402wh0E5U2AKzsqJMrTrg8Vj1jIHX7ZB+DOm5pAHC8HVc7bzUWqzqTnS3LP6mgVjm1J6D8OUyX1yYUzYhIqxP1v8WEk1iSES+ZInBGxc0BZBxFfD/1ielqQYT5QWDUDS4FcjwKrkRzodh+S6jhP4tW6N7IvPbD5ylJ5heZoU6gFhIUJ6thykFenTTfkzKeI96ZI+9UTfPLNY3w4LulnDRBA/7UZjmrBiQ/q4mcRI2LlRYRM+/4SS4NeC4/QTrTil8HyQEKhIM0esww7jQ0NSd9mGwXOCq0EhvMrdAL1urN8QJQXIgP0wsAxYUqwtpOWdcVy6R0vF4Rmy01i+4hWvKAvN/acIbbhP1pzsgcyVSRvybFbW1kbh3ec+9ylW4iASU04mPlijJjbaxAn8ua8ckB2ra1rdPmGqr0GNzzBk2Yi61HVmFduzq3x8h0PDEMNkkIVnUijrEOeBmZCdAhinS3nMMceU9ToUwDhDYeW+AGmB3SMQWr96zKMNZLmUVdJh5aCIuluUVz2w3jVCukrGpA4++OAi2OpplNZ8GkrdYTjUzThkp/7oono35mf210w44wPZuW9ZDVIbRGiIbqm1sdPG1MlOxhTSoJZsGBzBpBsFugX2l2rlnIpqwBUsIViKQLsxu+nD+ItuJDIzzqr7Yl+wLX6+sOWrWhbnaqAM0NdjY22Qk3kpwbkVrNVxJg75p8ucLq26Z9lZuqOO6Zs95PR3EInGklxYsgNENw7ZsciMJSg8g7a2iFnz5JNy9uGxAKztMS4wrGUS33KWRIeVwayjGUR1YL0alwaGQCNA40Lqyzoy41TDwE9n2c0W6q09rrYU1E8apThhqHPGBaLz4XCzs561kTqeVz3PhA2Qkn2so0LhGQDVFUVYZrnMUFlmoCvruW9sDjOXYZ6FuggYVq41WAXG9tSH3QHtLor6c1/jxSowttZh9UC9jTrUo14tjLbw22JkumfJjaEKy1nWrFnTPPnJTy5b4YZZbxlfXWiyM3CJqEaF1kb/PvsOYzpDrAiFPaxQwQAzYuwwPpQ/olqO8CiK4QTjq7qvEfTAfSfaUgr1SbmGwTNrt5aLs8P6AcLJTPIoUK9WVdj0bxmO2XATKXa56HFZ5kInl6pjcXELTXY1WY0Khev0EMsVmMgUgeVgDMgMWT4wPAgK0wbpM88851HWHdYvzJobnLb+7bDDDvuf2W/EZduTLV8WGxvLGwb1ixA7zAbqRneTTo0K72Sy0bicX//jljI+wLAHw2ehyY4SEOZxoNAoh0WghxxySFk4eeCBB5aWxdjAckRmScA4C5k7nA0zbsstFYHsB7Xnc5glqJ50f+z3XKrOjLF23dzZQV2pM26WIFMLS3YKFdmNuwzEe1oLh3WyHKz2trnZOXGjTF9nO0uHycASH7T+bBpQl+oLeS5Xrx3WDxCOcdRB6wc3FJCV2rEsa9fW/5lYdjCJEEswkmQRWCTsNwsbl4P3OrKbHMY7LS2ZFbJ+q426riPUG4JrK95KHVkexY3jV3nP0ppWLuLN+CwdXcrVfui9brdfPMDgMV7MGf4w829vrtl/C9qdqegEmRob9c3YqTalMqY7yioziDkLqESbn43tWafXYXw4j84mc5NE0wYrw84JFrzN7VHAEAfwU//PL6Rb5F59PQh53kbCHvYeDHqWdLWvob6uh3L4yzCBe/zVA/uIX7c+io3AKLQup0aINYY0wHuxwI2jWZNqltwKCEQgDs4949iukYfwHaHuWyxmzGcBO56sk7WcDHEFykD66G2ITb7k2/q9QBnIq/vKjAHk1z1heEe56JUIAwyBKTNhb+SImXJ3AFJZCmgc5D2/Ine2mQ3LuqCzgIzZVzjKx7SDpBnkt/4PdRnUz1y3/Q5DwljOf/18ubKP30Fh1vnIr3sEgVARAv+zBjJ+TAhZXmDDOAWaNqTBbL1N/D4wHuHUehPwLGbNAmUyhQTkwbgs4jBDnwMIvKtLTKH4p8wGx+WLH0piITR/rpGrc+mQiRlF6XEv5WM2WRmJk1KGdCid+CiaMvUOhfMOiF8a/Q9ZyYuwxC9/g3or/Eubd6XZM9fiy2Rf/LuX+MQtv95N3IF3PAfvgLClq/Y3TSRf8h/Cgna+6mfuBSH4oP4f/22YIFtHdv3K7fs7O2AJSmRcCjKo/7ev855fDiSIkO65555lG9gsgOltYXKygyny5EvlqlitXg4IUBCE1am10s7CMD1u2QRBAIJpFok/yqXF9PFszwlQ1hB6Lg47BQg+YWZai4uS+E/Z3JMO/jJm4j3vKzfhIxktobgpFH/epcRmQS0bELd0EOy8zx8F8h+BUGYtunD5I2jCo3jKxLW0CUtd8QuuhdEWsGlBHUkboYyARy6D+n99LR/5H5lsvzsIec9v5LUdLrTDyjvLoX6vHUbihvYzqJ/DID+DMCzN0L7nf9ysMEq5LYVx03oOsnMAIMVzgoiuHyXSSurGgP8UiDIgEYrBv/sExH8gqFpACkVR9Zcpn1McwPYvSjgLKFBpTSbb8JxCtVsGbpCitSsofuNqRRnkF3LfL//xW/tPeHkH4ieufu43YdXvBG3/4F6N/I8fv20/o2DYOwk3z2t/dbqWwlLpmSStqwHkjFN/kR+Qn3Z9kWUuea3z7LqWZf+5OsxAGML2zDt145J6T9yexX/iy7uxEONnXCQcEHfCnwb0JteRXT+x60q2ztSoqBM66L3c8ztOuCuFdMXVmEYapp0veSBUnIYmguK+ikw3yH+/IXj+4qcm/YRH0MA7BDj50IB5hz/wTLwRTO/6zf/6HrhPESigBs6zKFacuFiOSaM4cu0Z5x3OPe8IVzo8S5jJBz/e98y1e1wbCTvXQe7nnYQJSVf+rw+wqPUSWOqs7yDxixPUA8OCVe/ac+8qD2Wh22oBvQW/5CCnuAiT9Q7C4o+l7x6//Dl2yp5l9e1dYasz/hkp9qOrF/eVNeNF78S3YcRvedck6+bIhPQlL3pB67NsazC8Iv8b9S8cz1weiFSGaiEYlgh+hj1znzUoPAKtUkSYQnVPRuMnYblWUQpYgSh4973rfirCu+5HgfzPc2Hxw0VZ8lz44pQGQuZdleVX15FfQiG+KB94Lu3idN9/vyEZYQpfPnOPIPNfw31o3x8F0iRtus5JF0h/up7S4BlB9qs85J2icHmPP/nxDKRLnciTtFEu3Wfl4RkFYbGnrOXXtef8Cy//+ZdWQqw8KAb/UW5p4/jTmxAv/4Sff+FLp+fqy3vuSQ9/0qGMhRGl56RB+tsy04ZwOXGkPCCykzwJM0iYKa/1AeEF4h0G/uLyv0b7fzAoTOlP/r3nPzcojOS1fpZ3E/YgP6Mg7wfjvj8ODDGRBfW50Zo1a3ouCKQxIuNB/oeEKAUBCFQ84SdwnnFteC4swk04ERfhJLCeaR0IYoRfPArOtYQh3HrrCSWXBspAQL3LP7/S6RnHv7D4k07Po5hcxr+kAbl5ZoxOGMbR+Nea8SMNwgDPc06Z+/LsVzj8SLfwKS6llcZBRxqlkqdZuR06dDgb5yC7k08+uZCdG5Q4Fg4igHgMKDKlRnZIgGsDCQgrSk3JXXNR+CD3g/ip/dXP2xj2LHFC+7eGe1ziG9VPO331/8TNdejQYX44m+zO3/w/QWNZTfgAP+AAAAAASUVORK5CYII=)
- During maximum contraction of the spring, the kinetic energy of the system A-B will be zero.
- During maximum contraction of the spring, the kinetic energy of the system A-B will be my 2
- Maximum contraction of the spring is
- Maximum contraction of the spring is
The correct answer is: During maximum contraction of the spring, the kinetic energy of the system A-B will be my 2![divided by 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAAPCAYAAAALWoRrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAI1JREFUeNpjYMAPDID4KAOVwWwgjqamgaJAfB+ImQio8wHi/8QaWg3EtQTU8ADxNWINZYK6UpSAuplAnEysoZFAPJeAGmsg3gtlE2XoYSA2xiPPBsSXgFieWEOJSUYdQJyDxP9PaTLSw2Lpf0qT0UkgViHFUGKS0X8CmKxkhMsispMRyYYSSkZkGUo1AABmuSdRoOTTlgAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+LzwvbW8+PG1uPjQ8L21uPjwvbWF0aD6WNUhZAAAAAElFTkSuQmCC)
Related Questions to study
physics
One can easily " Weight the earth " by calculating the mass of earth using the formula. (in usual notation)
One can easily " Weight the earth " by calculating the mass of earth using the formula. (in usual notation)
physicsGeneral
physics-
Two identical springs are attached at the opposite ends of a rod having length
and mass
. The rod could rotate about its mid-point O as shown in figure. Now, if the point
of the rod is pressed slightly and released, the rod starts executing oscillatory motion. The periodic time of this motion is………
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcMAAAF8CAYAAACzGtB+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAJCZSURBVHhe7b0HexzXmef7At1ANzLAnEVSgRIVLNmW04w99szszj47O8+NH2i+0j67d/feTfKMLMmWlaxEihRzAEjk2EAn3PMr4E8elqoRSBBodL8/8aiqq06qqoPzr/ek6lgNmOM4juO0MZ3rW8dxHMdpW1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLbHxdBxHMdpe1wMHcdxnLanYzWwvu84juM0KbVazarVqlUqFavX69bZ2Zm4XC5n+Xw+2aZR9c6WMOVyOXFAGIXDdXR0JMch3lccpL+yspJsoaurKwlPHvAvJ9Jpk3c5wnR3d/8gvMKAfpNe7EDXjFOacdpPw56IITfGcRzH2RxV0bOzs3b37l27c+eOzczMWF9fn42MjNihQ4fs6NGjduDAgcRfukrnNyJGmKtXr9q3336bCBFhjh8/bkeOHLGhoSErFotPiGIsRtTZU1NT9s0339jDhw+Tc2fOnLEXXnjBent7rVAoJHESHnEjnASQtOfn521sbMzu379v9+7dS9J77bXXkjwMDg4maRMnaSn/iC3CPzExkaSNYx8/hDtx4oQdO3YsCdtIULeDN5M6juM0KRIjRAFBGR0dfSRoiCICsbi4mJzHr0QIp9+cW1hYsPHxcbt161YS9vvvv0/iIk5Ze/IfO8SsVColQoqY3bhxw65fv57EQ9rLy8uPLFX8K8844sQKRcRJ6/bt20lYHIKotOO8Ku+EZUv8CCDXSribN28mgjo9PZ3kKw4r97S4GDqO4+wi26m48YMwIAqIx9zcXCIE7GMF9fT0JA4rKh0n50FiNjk5mYQnPiw4rDmsOpyaGxVG+4ihRBgRQniBsFhkOFmECkseJGiIIWkTFlFD/EgPa5B8Ew9pC1l4QNpLS0tJvrFG2XIOq3JgYODRdRMGFO5pcTF0HMfZJSRYEq1YvLLgvEQBCwtRQFgePHiQWGSIQSwo6fgBAcMqRNAIRzyIFCJCWJyaNxEUHOERNMQL/7LMECRZZKSptBVWaXOe/OGXtLEosQaJC38SUfUbSsjieGIhxhKliZj8EBYhZBun/ay4GDqO4+wCEgqhfR3PclhXCADWoPrO1LyIEMSioLgQIjnC4x8RRVSIJ7YMZZ3Flp3AH2JGGMQIR3Mr/ginsLF1BnG+JcQIGVtEmL5OrDvCp8MKvQBgVZJ3RJxrJ22swv7+/uS6YxF/VlwMHcdxdgkq7bjilujFAobTOUQBAcIyw7JCYBASBq8wiGR4ePhRM6eQGBGW5lVEhP4+RIXjGjhz8ODBRJiyBIk8YNkhSIghYoYgIUAnT55MBs4QHssuFiNtFVbNs8RBfhAxwp46dSrZJ23C6D6AhJR8I6Bcv6xg0mTgDAOHyAso3LPiYug4jrOHqDKPBUFihJjRtIgQIgwIBaNHz549a4cPH04ERZZdDP4ISx8hYoRViYWIP8QEMURQsM7UTBmLNOGx6hAzhAxhQtxITyM5EeIsy4xrUL5Jl/D8xi9CTljiQMQ5FosZ+6RNWgg4DuuUPNLPiBgyapZ8IMTxPXtWXAwdx3H2CFXkqtT1W1YdAoaYYZUhTIgHIoh1hSjETZw4WXiyKBEjHMKEtYUAYdkhhggT4RVW6SPE+EXEZNWRF+JGkBBjRAkhlRDiBOERUsLSNKt+QtJGQAmrtJXfGJpSuW6sUfpHeSnAguW6EXD2FVb51X17FlwMHcdxdhmJRywiMbLMECLEDAsJKw8LCSF78cUXE2HAOorjkqWGGCJCiJGaGhEN+ttoYkUQFR7/coCwIH6EI11EmLASM8IhZmqmJF0c4UkfEDPCMp2CfCCchEPAiSNunlV4HCB+hGEaBeG5F4RN5xl2QgSFi6HjOM4eoMo/RqKAIMgqpK8PUcRawyLCQqKpkaZCRAFBQDBw2kfMCIt1xZawCClCRBMl1hmCRHhZVmxxsioRUgQNYUKAZNGRLkJIPhWG8EpbcwuxZmnepckTEZYQqnkUFB4IT1j1NaqfkjySNv2MWKbPQwjBxdBxHGcXkXCAxC92oGZKxIj+OgQA8UJI4uZFhAThREQQQIQEISMsTYxYV/xGvCRmCJHCkQ6OsHF40kTIEGLiJuzp06cTUSOPHFNY7dO3h/WKJYtVSRzqp6RpFTEk/xJMhcWRF9LWoBm2xMd1Ir6kjyO8rn2ncTF0HMfZJWJrJksQgeMIAYKAZYS4cAzLTuewnHD4wfJDQHD4R0ARQkag4hAo4lb/oCxOhUHwtCU8FiFOE+URKcIihGp+jcNJ/GQJkibhSYOmXvKspk0EUM2+hJHjGOEJK2uWcLwAYE3KqtQ1PA98bVLHcZxdgKpW1a22sQiqyRDHBPfPPvvMvvrqq0QcsJ5oIqS/7/z580m/ocIIxY94ISwsu/bdd989auKkeRXrTuuJxqLCPnGRDhYiaX7yySeJ2NLfRxjSps9Oq8fIQmNLulh3hMUqZck4rgHRo1n2jTfeSNYRRdSw9CTsQNpYj4g8okiaOASVfL777rv2+uuv27lz5x41z8aO9LX/LLgYOo7j7AKqatNbiQrNhxpFevnyZfvoo48SQWSyO341CAVhQ5A4pjhiEDSsQaw0BAUxxD9O4SVGcR7YV5MrYkS6CBTWGIt5E4594ovnJiJChFXzJ2KM1Yh1hxWKRYcIkz5iRtoKCxIyrEaaaLkH+EE06Sd888037aWXXkr6STmexsXQcRxnHxFXtdpnq4ocEZAg8HWIP/zhD4l1hihRZ1LpI0IIgvr9QOHliJO4EDIc4fBPWIkZ/hAv4mBf4sRviRqizD4oTZzik6iRXuwIg6iSB/ZJDyEnjPIH7AvSlaNpFOFDBC9evJhYhPxGyIlD4YF94pF7FlwMHcdxdgFVtY0qc4QDMaSf7dq1a/bll18mFiJNjSKrwtcxbRW/hA2UhgQNP5yXX44BvwmjsBpUQ/8keaPZEmFji2hpeoXiibdyCGZs0ckPxHmWLmAR0gxM0ypTSLBKEUI17SpeoWtTXE+Li6HjOM4ukK7Egd+qyBEfLCqsOQSQOXYMYkGI0iicYD+OX3E2Oh4fA1mGIJEkPzS30uTJQtsMnKGpFGGi748RooxOFXF8gmNxmsB+jH5zHofYkg5CiCgiuhzDsuV8rB+KW+5ZcDF0HMfZBVTZa1+oIqdeVFMpIsRAFLZYZyKOI6vy13nOySLjtwROftIoDwL/OAa00Ez7+eefJ6M+aa5EoBgMQ38eg3IIp3RB8Wir9EUsvEJxgEaukgb9jbJm8aN8CY7F7llwMXQcx9kFVNVmVblU5BzHGkMQ1WfHlt+q6Kk7FT6r8uccjnOIjppEY5cF/uP4SIe8MCr1ypUr9uGHHyaDcRhVymAYRpbSl4dgkU4cdzoujqvOT58TOoZfBBxB1IAb4LziUToQx5cV73ZwMXQcx9klNqpuOSdHHamKPw4T/44r/9hPTJZAZIVPx0XaiCHNtJcuXbJ/+Zd/SUanMq2DRcIRQo3wzBLDmDhvWfkBHccv+4i4Bu3ExHFBo/ieBhdDx3GcXWajalfnYoHYCtupyrNEhGOKgzoaixQxZGTre++9l8w9pB8PQUQMX3nllWS90LQYNmI7woXf7fjfCX7YeOs4juPsGYgAAiNBYF9O/Wdpt9G5LJf2n5VGfEx5SedJ/hRmI7eRv3R8pLHbuBg6juPsMmlxSbtGyAJLu6chHT69FVnHG/nZDPxlORHv7zYuho7jOM4TSJQ2E6e9FK+dxsXQcRzHaXtcDB3HcZy2x8XQcRzHaXtcDB3HcZy2x8XQcRzHaXtcDB3HcZy2x8XQcRzHaXtcDB3HcdoA5gQ2cjFZx2LicJv53U+4GDqO47Q4EqztiljWyjiE00LeWkw8ZivxNiMuho7jOC2MxCneyknM2DZy8psOi8s6H2/3Ey6GjuM4LUqWKMnCQ8iw7vi6Pt9N5KPCOH7zxQoc52UByqWRGKaFMCvtZsbF0HEcpwWJxUhihbAhfKVSyRYXF5Mv6c/MzCRf1cexLzc7O5ucxx8iiTgqTglqjNLYr7gYOo7jtBgSJQkUDiFE1Obn521qair5ij3fKLx9+3bi7ty588hxHMfX7ScmJmxhYSGxGGUZxn2IrYJ/3NdxHKfFiEUQ0WKLEGLtIW7j4+OJwxrESoyFTfuIJ/7Hxsbs6tWriRi+/fbbdvHixeTDvi+//LIdP348+QZhI2HcT4LpYug4jtNiSAhV19LEiXWHsN26dSv5gv3Dhw9tcnIyEUkJmsRLYRFKmkrx29XVlYjh66+/bi+99FLyxfsjR448IYZpOXEx3AQXQ8dxnOeHqnXqWvoI6fejafTGjRt25cqVxOJTsydflu/u7v6Bhcc+ftS0ih+swbNnz9qJEyfs2LFjNjQ0lIQXSlfxuBhugouh4zjO8yMWQ4QQCxCrECG8fPlycry/v98GBwetr6/PisWi5fP5J4SNfeLBIYqIIQJ46NAhGx4eTsL29PSs+15LMy2CLoab4GLoOI7z/JAwUdcihAyEYWAMYvj9999bb29vYt2dOnXKDhw4kIghzaASQ8KyL8dvziOgCGChUHhkTaYlBL8SQW33Ay6GjuM4LQbVOiLGIBhGhdJPqNGhTJtAAM+cOZO4kZGRROgQNomhxBTHMc7hsB61L6GUf4iFEFwMN8HF0HEc5/lBtY5gMXAGSxCHEC4tLSXCd/ToUTt9+nRiGQ4MDCRhJGSEldNxCZ/ETX7lYuLf6XPNzOMGYsdxHKcliEUIQWQQDA5o5qS5U32F8eCZtG3EsdgylCjG4pgWz3Qc+wUXQ8dxnBYFsaIljgEwWkEGy1DNopzXZHymUeCwHtlyjJGohMUP8RCeMHJp9qsQgouh4zhOC4OI4RA0iRlbRA7hYx4h0y4YaMOEfLb8ZkK+lmRjjiICiaDG3VyxKO5nIQTvM3Qcx2lBaMZEAL/55pvEMdGe6p4BM0yLoKmUUaGIIoNqlpeXH9XNCBzhaUKlWZUmVaZTMMmeuYWMRuU88ckpXCyQ2u4HXAwdx3FaEIkh8wovXbqUjCZF8Ggi1ZxC6mKsQ6xBLL9YDHGIJaLJIBvmGDLp/uTJk4mgIpT4iSVE4XD6vV/wZlLHcZwWQwLFFuHTQBn6AFmg+969e48W4aYZlOMKE4sZYopY0mzKpH2c1jRFWPfAlnpuuGXoOI7TYlCtY/nRx4dFyDJsOKZY3Lx5MxE7rD01eabnDyoOwtOMyio2WJRMxcAyxEpke/DgwSfEs9F2P+Bi6DiO02JQrSNEiBlNoKw+gxD+6U9/so8++iixEplwf+7cuWSLuNGPSLMowghYhViNWIJM2mcwDX2HTNhn9Rq+XkF4jUqNhW8/iaDwZlLHcZwWBktPFh/iGI8M5TgCx3qjfI4Ja09Oi3Fj/SGUWIayEnFx0yrsgV21o7gYOo7jtChYaLTEYeWxRRC1rijixu9GVhzHOR+PKJXlqDAIYNrtV1wMHcdxWhAES2KIRYcliJAxRYL+QsQQ8WIgDJ9oYnoFA2ViR9OovnIPGoyjr1xkCel+FUXvM3Qcx2kxqNax6rAI6S+8fv36o0E0t2/fTvwgiDR/Io4MpMH6k7UIhEUoaRJFKBFT/NKkShPqiy++mGzT1qVEWPv7BRdDx3GcFoNqnf5ALLqrV6/ad999l0ynQNgQL6ZLYPHxm336/xC/WMgQP+LhN1vmFr755pvJXMN40I3Oy28ch7b7AW8mdRzHaUEQJwwP1hjFwkMY6fd74YUX7Pz588lXK7SiDBYh4EeLeiOGiBn9hPg5fPhw8rULwiCMNJWChHC/45ah4zhOi0G1jpAhal9//XWyCg0T7GkaZToE/X2cY1Qp0ydoBmVfC3MDfuLBM0ypQEARRSxCxBDrEyQjpBk3m+4ny9DF0HEcp8WgjkWIsAi/+uqrRAyZb0h/32uvvZYssQZYfzSVsqIMzab4RxBBQohfxA/rkD5DrWkaC6FkBCHcr2LozaSO4zgtiAQKYcTpNyKGmCFqCBxCxz4r0SB+Gi0aCyFWIY7fiCRxZAmdhFFp7SdcDB3HcVoQWWk4YIAMTaMMmGEqBdMmmD7BCjMs2caoU0aaxo5jrEeKVUkYTdaX2O0ny28zvJnUcRynxaBaRwRp8qSZ9Ntvv01EDauO6RBYfpxHIGkeRRDZIpZxnyHWoSxD+goZPMOKNPQ9qs+QtOSIE4GM3X7BxdBxHKfFkDAhbFeuXEn6DLH+sO6AcwgZW+pj/CGMkgM1rYL8IYpnz55NFutGGBlRStMqKBziJ0HU7/2Ci6HjOE6LITGkSZNFtplryIR79vnIL8LHdAqsOwQNRz8ix7AIqaMZTEOTKk2jNKly/tVXX300LQMLE0GMBS8Ww/0khOB9ho7jOC0KgoTgMfCFJk8Ejr5APuNEsylTKrAK8aPVZZhLiFNzKOLGiFOaUh8+fJhs6WskLkQ3y57ab0IIbhk6juO0IAgSdS3CxeozfMKJzze9//77iQWIdcecQybhY+XFS7IhC4gdYsnHgBFPrEPEEcHkqxZM0Yg/4QT71SoEtwwdx3FaGMQKgcNpwAtbmkZp5kTc5LAGNY1CA2bksBxpQqWJVcu3xbbUfhTAGBdDx3GcFkMixZZ+Q60sw29EEQuO34wgZcI9UydYoQbHPtYkWxznsRDpPyS8VqaJLULgXNrtJ1wMHcdxWhiEkD4/hA9hpH8QWIaNEaY0n7KQNyNO2TL6VCNQ+c15Bt/Qx4iAasI+8UgM96sAxnifoeM4TotBta7RpPT3MZr02rVriWMiPSNEETKsPJpL6Qtki8AhdoTHDyLKdAwsRqzBH/3oR4/6CvlyBc2qSg+IM+43lFjuB1wMHcdxWgyqdYQIqxAr79KlS4kIMghG9a/Eit9YfGwVjn36BOWP3wywuXDhQjLX8Pjx44kQsoA3YeI4XQy3gW6c4ziOs/NQxyJE+moFK9CMjo4m/XwMhmHUKPtA8ymWH1YgI0gljJzXtAyEUKNINZgGS5L+R/wiIxJSxBAH+0kMvc/QcRynhaGpVINnEDCsOpo4cawmw0d6GVWquYg0h9JUitWHCDKqFH/4Z/6hhJAmVpAFKBGUAOr483DPAxdDx3GcFgUBxHJTaxxiR/Ompk2wxWlaRbzlPEKJYx4iQhjPRYytP/axJGNB/IForR/Ldut+NgG/8XYncTF0HMdpUWLBQawQMcSM5k8sQFmBagrF6pMYShg5hpWIP6xB4pLIqmmUuOXSgvjIrecpm5TfBi7xmdruFN5n6DiO02JIpBhAo69W0C+IsL300kuJKOpzTgyqYS4ho0dpTmXgDGERSkSTJlEcTalYiAgko085nxa/jQlSU68mrhokoFLPBwVaC9uVD9blNrRNsrWT8uVi6DiO02JQrSNUiCHzBXHME0R4EESOM2WCuYYMoGHgDH2LhEPU5GJrj3BMq2A0KU2mfMUCsdyKGK6uBiuyumK18pJVV5ZsudpppdU+s3zBCt1dNtgbrNbc1tVQsrWT8uVi6DiO02JQrSNiCBxzC5lnqE84cYyRozhZg2nh4zdxYCXiH7HEGnz99dcTy5J1TelTRBDjME8SpAURDJZgrVK2laVZW56fsaXZaZuvFmyx66jlewZtcKDHTox0W0/31nvtJFs7KV8uho7jOC0G1ToChZCxSDcT7/l8EyvJ8NUKBFDNoOovpC9R/YKAEGriPcuzESfNpDhGl2IhMrhGg2meFENkpWartXKwBudtZX7SpsZGbfz+qD24O2pTqyNWOvSG9R88YSePjdgbp3ttpGdtqsdWkGztpHy5GDqO47QYVOuIE2Kor1ZgIX788cf2xz/+MRE9vlbx4osvJt8nZNqEPtYrMUQwtfoM30BkS/MqYbEKZSUihrIOHxPq+NUghNUlq8zft/kH1+z2d1fsytff26WvbtiD3GmrXfgHO3L+NXv95ZP2u4uDdmIwn0joVhpLn4cY+mhSx3GcFkXNnwicLEUEDofVx2+OYxViIeJoDqX5E2uRfc4RB8KDf0QSJ6Pmh82joiP812mdubzlgmB2dKzaamXJqvMTVpqdtLmFJZtbqthiuWa1XTfJfoiLoeM4TosioUK4ZEVxjN/0AzJ4hkE0WY5zOK1Pyj5NpwgjTawSWOL7oSDyO2cdnV2WLwxYcfCQ9Q2O2GB/rw0VzfrydVsbL7Nq9SRbj9VwbS/8P+SXPK+55OBzxcXQcRynxZBASfiw6HD8pp8QIeM4QsfnmWgC5Sv2fMgXxz5On3Bi+gWWJOJHeKxFBFFi+EPCsY5wrjP4KQ5YATEcOmCDA/023Juz/oJZV1CfxyHX9lbr9DNWrJbkFws0WKJYo+uuWqsHKzKII353WCBdDB3HcVoQRAqrSvMJsQQRMi3DRjMoYoYVqE85MQWDOYk4Fvemn5E1TRFNLEKmV2jFGvoXs4VQoHZITMFyhV7rLvBFDEaN5qyQ77BcJ2K95nONIHTlJSsvzVlpbspmpyZtapLvK07Z1NSMTc8GC7VUtlK5buWa7XjTqg+gcRzHaTGo1hEv+vaYVsF3CRE8RA0Bk6XIeQbFIJQ0gVI3S+DYYkEyYAYrkAE2DJhBSLVYNxZi46ZSpIW6vhw20/bg28/sxsd/sO/+8J5dXT5m987+nzZw9g27eOGM/eM7B+z0YNVKkw9seWHOlhaXbGqxYuFfyEjBOrqK1lXstb7hEevr77feQs568kFmc+H0ekrPiluGjuM4LchaX9tjyxDRw5pjFCmixjcJETZWlNHkeZAoEhYxJAx+WOCbyfZYhliVCCRsyZ4KXtZ8PekXIQv2axDSIJq1ZSsvTNnS9AObGX9gYw+nbWxy0aYXQ/6DKVgNQdf6FwNbSXObuBg6juO0GBIotvHoTwSMJk7mCtJcylxBnJpO+USTHBPrOS5//CYsI06xFhHPLQlhikchghKuMsLUamEnmICVRVsJYrg4PWEzU9M2PrNik6VOKwfLMFfssZ6+Xuvt6bZiV2eyWo2Wb9spWXQxdBzHaUEQP60gg5MYYtVh4SFyWIivvvqqXbx4MZk3yJYl19i++eab9sYbbyT7+qjvgQMHnrAin0YM1wjhQtiOVeYjsgzcilXLi7Y8N2kLU5M2Oz1nE/OrNlPptVr3oPUMHbCRg8M2PFC0/kKnFfMdlt9h9XIxdBzHaWEQrEaixXFEUv2HEk5c3FzaKI4f9hNuDs2ithqswXoQwJWFIIDTNvNgzCYfBotwsWoL9W6rdAXrs3/YBoNwDw0HN9hvg/1F6yvkEiHsygXxeoq0N8IH0DiO47QY1LFYb/QT/uUvf0m+dj8+Pp5YhViD9AUyaIb5g0yhuHPnTjKqFEFEEghLUyhNogycoZ9QHwVm8AyT8YkD8LvpAJratI1d+sxufvy+fff+e3a1NGz3Tv0byx04ZceHe+2d4ZId7O2wpXy/BRVM1iwt9q1N+h8e6rWBvoL1FfPJdIzEgluXrZ2Ur9w/B9b3d4090F/HcZy2Qn16zCFkSTZGksrSY95gPLeQL1ow3xA/zCdk0A1iyTYebaqRpVqCDScxzIa6nj7BZVuYGLWZe7dt8vYNm67kbLb3mFXC6dXSvHWO37XlxRWbLx6x2sBRKx44aiePDNmJg3020Ntlvd05y3eu9RPurD34GG8mdRzHaUFkrSFeiBiWHGLHQt0s2M16o0yoxxrEAmRwDH2JLL7NlhGkHCcOLEiJJlvEFYF8OoIC1su2Wp6z8sKEzQWRvH/zht2+dd/uT5VscrnTSh1F6+7tsYH+gvUUgkWY60hWrHleQghuGTqO47QgiBiWoJZVU5MoX7DAKkTMsOqYL8h0CxbsZrqFFu5mRClNpFiBigOov4mbr9/j2Adtn+SHluFEsAynlqo2k++3xdKylaYmbenODZtfqtniwClb7T9sPSFPpw8V7VChM7HYnqcICrcMHcdxWhgsQ+YKYh3SBIplyFcs6CNEwLAAGS369ttv209/+tPE/eQnP0l+c5xpGIwgpckUSxJBpf9Rza5bAqsORUtUjekUiOq6sAaxzHUytWLBlqYnbPrBmE2MPbQHk/M2sVKzhepqMsfweeNi6DiO06Igdlh26utDfJiAT9MozaY0g2IZMrBGji9W4PT1Chx++E0fIX2HCKPmLjZu6ZM9JxVccx2sWdoV4ho4a4PHX7Ozr75hv/ntW/arHx+2EzZqdvsLG/3Ln+3TL2/aH6/O2I2Jks2u1JOhOCLTCH1GXAwdx3FaGAQxdkDzKMKGILKv+YgIXOw4BvhDUOOBM4AQyv2QxP4Lrmb1WjVZfJt0akHVah1FW+0+aMWhE3b49Fm78PYFe+3VY3asMG89czds6fa3dvXyNfvyu/t2/d6UjU0v2NxKxVZC4AqLdYc4Govw0+Fi6DiO08LEIofwYQ3qI76coy+RZk8W5E47jjPKFEsQaC4lPH2FCCM0FsKgWPWqrdaCFVlatPIyi4Wz0PaqLVc7rVLPBwuxLwjiITtw5kU7euaUHRvqtJGOGcvP37GHN67Y1Uvf2ffXb9v1uw/t7sScTcwt28Jy1ZYrdatusYV2q/gAGsdxnBZEFh+CxshRRoIifBxH1LASGURDPyAjRFnIm/mGuFu3biVfsWCwDf2LxEGTKCNNWbZNa5pqoW6crM41Qh2/yqo3K1ZdnralqXv28OY1u/P9Nbt55abdncvZZNdxWy0O2MDwkJ0+ddz6e4K4Lj60fHnaKguTduv2g5DvcVsKeZxbrtlCpcOqqyENvoQR0srn1pyWZXtW3DJ0HMdpUTA86CNkXiEDXhBBRouyzih9gMwhZEAMwsdnm7766iv75ptvnviEEyJKHFiSWteUCfj0JdJc+qQIijXLcDUIYq28bJWlBSuvlIM12GnVrv7kKxTdVrUuVqLp6Lal3DFbHTxrx86cCfk7YmePF22kPmE2ccNmRu8GQR6zG/enbWwqXMtSxUqVWohrfSBOkt6z4yvQOI7jtBhU61hrNG9++eWXyQo0NHsiaFh3CBjnsAwZYYrYYUVyXFYecSB29BXisASZeoEYMqAGYVWf4w8tQzr1gmVYKwfLcMZKs+M2ef+ejd6+Z/dv3beJco8tDb1kPQeP29HjR+yV88fsUPeidUxcstL4XXswNmFfXpuzB0vdVjx6yvoOn7CRI8fs5NEDdmyk3wZ7u6y/mE8W7U4swx1QMRdDx3GcFoM6FnFC7L744otHy7Exb5CFuekzpOqnHxGLkWkWiCOCSFjEjT5BBA+/9BNiCRIei5LjnJcI/lAMkZVgGdZDfFXWIF2y0sK8LcwtJK5Uy1ulMGxdPf3W299nB4b7rCdXsY6lSauW5m1poWQPp5dtsZKzXN+AdfWGNHv7bKCvaH3FLuvO54Jb/0DwWoLPjIvhOroNTz7QJ4lv1Ub+HMdx9hLVsYjhZ599ljR9Tk5OJs2bzCHEssPqQ/ywCrVcm6ZMIG70B0oE8c8+Api2BrPFUIQ6M/kX/gt5og5dVfMmUywehV8XtVX8rPnjEpIaN/Hz2G/4t8YOS5f3GaZIHlbGTdYxnY+d4zhOs/FYPNbUgy2ihQiyBUQTAZR1yGAahBHhZKu+RkadKryc4t2Y4CfJQwiTy1suH8SUtU2D6+7KW1ew8PI5mjrX89oZ8pbrCv7W/ST+uh75wxLEr/zvJG4ZBrJELetGp/0lD2/d304/GMdxnKeFOhbRQ+g+//zzR82k9Pvx3UKaPiWETJ1gNCliiCXJMcAyxCokDBYlX67gt1az0eAZ3NbFcWdQPZyut5+FthdDLj99Y7MeatZtUkHQvuM4TjNAHYtAMVqUJlJGhjK9AgFjRChNnTSR0iQqy5B9jmkgDX4RPcQPR38hoog4slINx7Dctmcp7gzpOnsncDEMly8XEz/YrFuUFsHdLAiO4zgbQZ1FnYTAMW3iu+++S9YkpRkUgUTw5AfRoy8Qxz4OqKflEEzEj2kZzDHkqxZ89Z5+RPUh7mYdqDo5q25+WrzPMCK+sezLxfDAefBiJx+G4zjOTkFdhcO6Y8UYrDgm3V++fDmZT4i1eP369WSeIaKJGOIPq08DZqjrsBqZeH/16tVEUJl3iKjSpCqxzKor9xsuhhHpNxsVpvRxx3Gc/QB1F9MgEDYsOwbCIH4MjOEcTZ98romv37/yyiuJe/nll5PfuBdffDH5vJPmFmJVIoR8AopRqBLAWBB3w4G2O4UPoAnENzhGIrjZLXLBdBynmaDOok6irmVUKJYdzaUffvihvf/++4kwInavvfZaIng0fWIRamAM4RFOvmFIeCbsM8KUCfr4OXLkSDIQh7A0k5LWbjeV7jRuGa6T9RAbiSDH5RzHcZoZ6jaJFU2hjBLVpHmgHlNzJ06DaBBDmk9xWIRs8av40nXmfq8XXQzX0QOMHyiOwpE+5jiOs1+QqCFwiCCjSWk2pS6juZRpFfQDytGMisMaZAQqViWLeHOMOOI+yFgQ93v96KNJ1x+gbkN6C/FbkPzqmAbTxIXCcRxnL6GOom5CCBEzvkLB1ygQNQSO5k+EjXqL5dVYrzSeQ0gdjR/mINI8SljifOONN5J+xbNnzyaLfSOscR0Yu/2Gi+G6uJEnHG9QDCOmbRzHbwoHb1Taam4N7OeH7zhOa0KdJjHkM0yMGsXSYzQpdRojRHGMCAWaTqnXNLWC8NSDnKcexILEzzvvvJOIoYQQC1F1Iezn+tAH0ATID29JtItTWBgtRZMATQa8HdGxzERTHB3HbFVg9vPDdxynNaFuoo5CDJkSgaNOQ7gYFSqx0xcrqOfYj/sGCY9AyhBgXiHzDBlZSh2optJYQvZzfdjSYqhL2+jB4If8UGh4U6L9nGYF5tPwRoUw6htejLhi9BRDkdX5HD/4/VgAHMdpPajXEDOEjXmFiCHNnTSDYtVRf2EAIIgsw8ZUCQwBhJFjhFffoBbqph6kOVWT7YlDdV5c1+7X+rBlxTB9WY0eDP4oFBQahI/hx3IqQKzJx1wbhiK//fbbyZBidR7zprVfH77jOK0J9ZrEkA/1UpdRvyFsvNAjZpynLsYIoJ5DDLU2KeGxCBFP+hQRQ5z6FVX/Ka0Yju/HOrFlxFCXET+g+NKyHgrH8INVSAGgWfTTTz9NPobJ2xRLGFFIaBKgeeDNN9+03/zmN/bzn/88aT8nPAUqbjMXjQrBZnkSsb8sNgrrNCd6pv7snOcNZY16KbYMJYbUZVh3WH0IHiCC1IPUzaqfVbcxjxCHJcgxHScNHOU5LtPx7/1U1n9Yi+9DYuGI9yH9Ow3n1VxAu7mGFLPCO29KtKOrDxGn737Rtk64RhBvo7R1fLO8bcSzhHUcp31AuCRk1FnUX9R3CBUv9YyJYCwEXUE0odIKhqNbiGO0jGEVyiKMhTB2sJ/EL01LiGGa9AOK90FvLjiO8/ZEWzlt51iCbCk0vEVRSHh7wo8G1+AoULxJEb5RAVC6cdraj7dpP2k2O+/sLfEz3Mg5zm5D3aRBMGypx6jjcLz881KPJUhdhuO8HL+pBzm/UflNl/G4ft1PtKQYZhE/LNCD4mHTREDBQOSw/BA9YN0+3oxoTiAsViLzbtTZTEGK44zR8UbnYSM/+60gOY/L2EbP3HF2G0RQq85Q31HHUYexZcoEdRkv9xgEseNYfFyjTdWcGtMKZT/3z4H1/V3jed0wxbuVtxL5obkAgaNZlBGktK9TSGhWwCrkUyW8JfHwGV2FtYijcNFswJb29Czi61R+Nrv2ON/pa9jst9M8bPRs/Lk5uwHljPqGOg4Rw+mlnzoNqNc4H4se+/iTGGofo0EiSNxplz6+32gpMRTxgxFZwsSWh89bklZpoKOZYwyaefXVV5MV3ClEFB51HiOUjMZCFNkihsSfLgDx2xPn0ucb3YfYn/bTYSHrmLM3bOVZgj8zZzegnMVljfKJRceLPqvJsNXqMhgCbKkH2WdshLbax9F9RJyqA9UPSR+i0orTjPf3Ay0thsA+6eHY1znt00TA8kQIIfMKEUX8Mp/m4sWLybJD+EEgaWKgQHGeDmVGZDHsmEKRjj+GwoKD+HzWflYc6d+QdczZGzZ6FvE5f2bObqLypi31F1Yewoc1yAs+TZ84rD7qOM5T3yF8OJpREU6JoUaV0vQqQdxq+W92WqrPkBuPk/jJ6Vy81TmsPh4yb0C8GSF2NIdi8SF0mmPDloJAgWEKBn4JR0FSG3o6PYlgnLaczsnajP1mOZ3fzJ+7vXPpZxQ/p3h/M+c4O4HqI8qeungYA8Fyasw1PH78eFK30Zeorh7qMb30azwFFiRdSMy9xmhgtD0CyTnVd61AS4jhZhWIKhkKheAhqr2ctx/efCSGevuRSPEWRGEiDt6cWKVGYkhbOnHETaJC6T6tE1nncM7ek/VcNnIbsVV/jrMdKE/UZ7zg0+Klj/cyjYJpE0ytYPwDdRz+qP/kANHDWEAQaTljH4Gk3pPgxuzX8tsylqEegB5O1gOSA8QLqxAx0wAaNR/ojUjzC/GDX84hgAghfjnP7/gNKU4n7UTWudiJ9O80cRh3e+NE1rnYiaxzco7zPKBs8WKPBUjXDnMI6f5hWcmTJ08mAskYCUbPYyni2MdppRpaxFTnYTxgFFAnqt7Lqm/3Gy3ZZxjHH1c2crEQ0pnMCNJLly4lbz48dJo+aTdH9GgWYCUatmpK5TyFSoVFjjcp4o+J03Ucx9ktqAfTTlBXMRKe7h8sQ42BQBRxrEOKQ0BpLUMIqTOxJDlO3ceWpleI4xb7rd5rqT7DjYgfjJpHectB3Gj/xsJDCHnwOseAGoSSpgGsR0SQTmfOq2lVHctYk5BVKBzHcXaTWADTjq4fRC5eeQYLkRVn4hVoZDniB7+IJ11GWIpZIkfc+5mWFEMJX6MHhnAhbAghDisQEaSA8OZDgaAgaDkiNStQMHhrwp8EEzFEGDUXMS50Yr8XEsdx9j/UhwgZViF9gxoLoTnTWY66Dn+E0SCwmLhui+vdtL/9QMuJYdbDiAUKwUL4sAIlhjSXAiY/oseUih/96EfJFyr4mOVPfvKTZPvaa68lAok/BBWLkOaDWAyF0ldhiQuN4zjObhHXiQgagph2iF3acRz/OBHHpTo1Pr6faQkxjB8KZD0UziNWOIQLAUQIse5oC+cNCauQkVaI4Lvvvmu//OUv7Ve/+lXifvazn9lbb72VDEmm2YCCQhyERxSxFBHZWBA3y5PjbITKdZYTWz3mtDfUPxI2iRzH4rISO9WV2tdxxSXiY3L7lZbuM4wfIPBQET6sQppG6StkVBSFg+ZPmkMRO4Yds9WIK5yaShFLztHhTHzEQ38i8TCqNN1c6jjPwtOWI4XzMtiexOK0FSehlEhqX6TLE34aoXMb+WlGWloMhR4gIoX1hmAhimwRQoQt/oq9hhtjKSKSjLJi5BSTVM+dO2cXLlxI/DASiwJDnAgh1mEshqCt42yXuOxspRxR+WRVQF4G2xOVh7SLiY/HQhgfT0N5alSm5D8rXLPTUmKoh6QH1eiB8rBpFmWEFAtxM2CGD14idAge4qd1R9WRzD7DiRFBRBP/CCf+iQdRVdpZlmG87zibofISl6N0eYpdfCyLRsed1iauA7fiYiEU6d+wUVlL+90vtLxlqAeJ40HTMcwIKYSNZk8W43799dcTR/MoFiDipxFU6kjmN4KIeOLvjTfeSPoW2SKmhMEfpAuKV0TOdlD5ictRVhmK/cStEaAyH5MVh+M0QuUlrkNBZa7VylNHuKBdvyL+cHcSXUK8TT9AiJtJadakv49RoQgeQ42xFjWUWG9IgB/CakscDJ4hDo7hX3NwJJ5yiieOz3EaQdmljOHiP810WU6XeaCM4WLi8+Bl0NkMygyOeo6PGHzzzTf23nvvJYuSqAUNQ4I1Tmkpo55TuUqX0/1ES1mGWQ9BDxY4T2Uh61CrLrClWRTrDlFUPAobh0PwCEt/IdalmlQRQ63rpwoJocQpfcfZDulyKPQbhx+Vz/Q5XIzic5zNSJejrLIkB4387Sdarpl0swfEuVjYZM2pMslCYWI/7PNGhADGjrg4Tpq8WeFcEJ3tEJfhmKyyrLIp//KT5ddxtku6HMWo/KXLViP/zU5LiGGjB5J+kPJH5SExpGk0bt5MxwMKp7AKnxZBXFwxIYKIYbrJy3E2IqvcNiIum6CwsXOcnSIub3G5g/1e3lrOMkyTfmDsS7AkbIggjn2hh5oVVsKXFkPFgT+EUNM3EETH2SqUPfUbQlxW5VRm4/K53ysjp3mgXMXlLkbn4rLXCrSEGGZVAhs9MPlVuHTY2JIjfOxHFVFcQOLw7BMeAdS8Q28mdbaKyg9lRuVQZU7lWRUUTsfwJwfyB/Fxx9kq6XIGKm+QLlPxuf1IS40mFfodP5j0A2Qbh+M8v5U3fqsQyMpD3FhpBscqNvzGP5Yhg2/6+voSR9MrYshi4FiMHNMnnhxnIyiDlJ108zovVZRBHaNcUu4oa2wpqzoeO4VnP946TiMoM6rz+GLP119//Wg0qUaSsmWtZuZa86IGcbnT7/1E24kh6HzWpcdiiMMPFRPTMPhCBQUCpwW+KTSMJGWlGr5wwSR81i6lkuIcWwmli6GzGZQ3yiDix8sWTtOAtAYu5xE/XrDi0cxqsYjf5NN/C/HfgeOkobzgKGeUOeo6plb867/+a/LtV1bqQgARQ+ZYM9WCOk7dROlytp/KW0t+3FfEDyK9L6ffIn2OioeCwfqjd+/eTQrGZ599Zt9++61duXLFrl+/bqOjo8l5xI8CERcOjVjFUUk5zlagLCGC+m4m870of5S1Bw8eJF9L4TzllHJFeZOTGKoMawvaT4uks7c0y/MgH9R5tGpRxrAMEcRr164lv1XWqON4CeMln2M4F8OnYKfFsNENj49vxU8WWIVUSFRCFIivvvrK/vKXvyQf/uUYFiLnKTwUCI1Q1TfC2PKbpqz9VDCcvYEywt8HTVS8YFHGeOGi7LGlYkIYHz58mLRM4J9yR/mirOmli+NyilfH9btZHPlqtjztthNZ53bTUfao82iFuHXr1qOyd+PGjaSu4yUNscQv9RrlDRGk/MUv/JyPt/uBlrEM45uetR8f2yj9+BxhePum8qFAYAliGV69ejUpLBoco/6cuFDQhMVC30zOZ5K+ConjbAaVDUKHEFLmPv3006Tf5vvvv08qJQSRN3bKIH6BMsfiEbyp6w19Iwdp0dwrB1nH28mJrHO76ajPqMt42eKln3JHfUeZ4ys/jJXgxV/N9RC//GM1qg5VnPuFlugzjIkvh309jPihZF2yjqXP0W5Ok+iXX36ZOComfiOAipMwiCBrlLJEEU7rnbLWKWJIIcF/VtrPC6W1nwrkfiSrbG3n3uM3LktUNFQ8vIBR5v785z8n/TWIH5URb+74p2+aT4qxVi5r7PJBavqs1VQK+MMpP8B+nL/0eeDYTrCdeNJ52E2Uz6x78bTEccVxal9p8lsO9JKyk8TppyEtnJrmKWO8dP3hD39IxBAhpGmeFzTyxgsXL/r0HVLu+Pg5dR0DaxDEOM6dvo7nScuJIWRdUvxQss7rWHpLBcQb0hdffJFUTJ9//rldvnw5KTi8gQPXQyFhEW++e0jnMhUUFRVLtvHmpLf1+NqfV0Eh73Kw3wrlfoB7q/salwPdd+2nRSlGfuUPxz5v3jRJ0RRPWaP88aaOSPLWTtkjLvpsGLSlz4/x8Wk+PcaLmfKUla4gLaF8yL/yHft5GhqlHfOsaewUW8nr05C+zzFxmjpH2dFzeB55Upykh1M6vGQhhIyWp4n0k08+SV7IKHvUg5Q9ygX1GV/qYfAWA2h+/etfJx8/RxgpkxCX+/1CS4rh06CCkd6n3wYBxPGWhCjSdMU1qMKhcsI/I0p5M1cFhaNwqF0dVEnCdgtK2n9WPMo7TveZgrmfCuV+gPvLfcXpRYdywD3HUbHgh3O6/1nPSeUBf4qHyohBMwyY4Q2d8kZlFPsHKiXKF+WOssbbeSyGSjNON94Hxal4Oa+86LzSc3YO3ev081HZgaxy87QoDsWn5xrnA7Gj7FHWaIa/dOlS0kXEmAhawuSX8kVrF+WPhbr/4R/+wf7mb/4maZmgqV5/F/jdT7gYRuhWsJWjYGARqv0cUfzuu+8eNVXhh+thnyZRTa/A0ZRAk0L8ph5XOrDdAiP/xBFvIT6HkwVBwYTtpuVko3uueyvh4dniuO9pMdQzEIpDL1ISIOKhaZ63cZpGEUP6CrEWOadwQHMofTX6OPWbb76ZiKFevvAfO4i3xIVTvtnnuK5JxGk6Ow/3W88lLjsqNzr3LMTPnTj13PXMcbQ8IIYaOU+rBP3WHFN+gHJHnUYY6rl/+qd/sr/7u7+zd955J7EWdzLfu4mL4Trp26DftJPTVMBbEmL48ccfJ+JIc4IsAeAtiSZS9eHQfxiLYaOCsd0CI//KH1s5zqkS43e6sAv2Oe5sj/S9F6okOC6ncqF7H9//GD0jxcFvKp+xsbFk4AKjl3kBQyDTz02DZhBA+ql/8YtfJP04VFYSw7j/UGGVF+VV+2k2yvdmxOGy4o7JSmOzMDvFdvL5tDS6h3F68sMxlR3gOE5+G8WVJg4jFFZbzsfxSgynp6eTF7APP/wwGU3Kb+o6QZnCMqReo577x3/8R/vd736XiCHNp+BiuEXih90sxLch3qeAUDHxhs6bEu3oWIn06WgwA4WDSgkhvHjxol24cCEpJDRf8eauiinmaQpKOgz5jB0FUBUfpP+oBPvxNT5PnuY6t8tuXQvo3sVppu9n+py2jfIZH6fS4QUMy5AWCJrl//SnPyXlDX+UNz1XRiqrn5rVQH75y18+EkNVRtonrNJRniDruI7xO3bbQXE+LdtN72l51nxuB64pvtfxfRab5Ud+t3J/suLaKC2aSSl7NIvyIvb73/8+qfMYPEPLBOWO8LyE8ZJP+aPs/f3f/7391V/9VdJMzzH8uRhukWYUQ+BWpAWEyoemUgSRAQ2MJGV6BftUUIy+YgQVzaOIIJUSokjzAQWDgiOBigvHsxYUPTa22t8s/mdN81l4XmnvQfHdMM34uQDXLZcVLj7GPuWPMqXRpLRG8AJG3w0vX7ycIZiUKZqkNGCLwQu8mVPuYjHUlrjllB+liYP4mFB4nduMOOyzstU0n5adzOvTEKfPtca/s/Km+7HZ83ia6yIMdR2ihyDy8v/BBx8kLWL0H1IeKZeUB+o7Xv4ZzcwAGlok6C9kn5d/ieZm+Ww2XAzX4TbgyBtbPUj2KSQ0H2hQA00IWIcUGI5TKSGAiCFbhhgzilR9hTtVIBSP8hrDOfKue8vvuN9nL9ny9a97C3d+bUckl7p2vVmFNX0vdoM4TV0fWz0bPQeJSUwcNh0PvxE7yhVljcEzCCJlDWuR5lLOI3gIHy9fNMszmhQX99nEKE9s4zzpOHBMLv69XeJrelq2m678k3K8l+Rkg/zsRF6fBdKP7zO/Yyf0zLZ7X+I40sRx4Y9yoGUAefmiVYLWCcoe0yuwGCl3DNqiRQLxo87D8VLGMeo84lFet5vfvcTFcB1ugwqEbokeJqIiQaRzmYLCWxOVFAWEQsCwdoSQt3SsRJoRiEeFYadvs/ILyid5J59KV39A+h273WTr6YXr4ZrWN+FJhLCPrepG0ez0vd0KWWlyLHYgYYrvgc7F/kDPBkeTFS0PCCIWIn037FPeEENaHBg0Q7M8ZY59+qh5ayc9oTRiF5cLnP4e03mM8x6f2wzCPivbSW8N/m5JO+yyDcGTfPNfg6h2Ip/bQeml77NgXy6NXqqf9TnoWDoupUtZwNFPSLlDCHEYACzHpn5qXsT08o+FyEsYLWGUF8Ir/u3kd69xMVxHhSHrdvBAERmaCXBUUu+//35iHVJoKAyIIW/m9BUyoEFiqPCiURpbpVFYjisdKkvyy1se95oCyh8Tb3W8ufG7GQlybqv1mtVr4Q21XLNKNeS9K2+57pDnXLiGcH3NkHPdZ+65Kg/dbz0HtQpITLLuOX71PON9/BOnBjPQIoFVSGVEMxb+qJS0ODwiSEsEZY7jQvFBvE/88W/BMcoOQox1wDVooITyr3C6ByIrvmehUR5/CPkI/up80aMW8r9q5Wqn1VZZDarTunK8zPIM1nzvJVn3jmOUHe45z5zf8d+ryo/CpO/7ZhBfOgzpKE4cfpQ3bWmSp55T2WNUKa0SlC9W19LALeo+RJCXMM2nFtvN617jYhgRFwqhY6okyDvW4b/8y78kzQi0pVMZMaxdb+gUEAoH4VQgtH2Wa0/nLy7Iipd98olo0/bPcQowjsKq1XD2gvS9WGP9elZrtlopWa28YssrVZtfrNtiucN6Bnqtb7DHioWuULGFSiK6ftD9iO/LbqB7rxcPxEMjjDnH/UZE5LjnersXcd55Tmxx8oO48hwRRTmOAfFpEANb+mpUGSneNHHaSg/YSswpOwgujjhV0ZFeo3ifN8p3nP8E8hMOrVbLVinNhryv2Eq4PYv1Xqt19tpAT7hHPTnr6V4Tw6zsx/fgebJR/Nxryo7qFwSQ8sPfqsoR1y63XeIw5EN5ieNT/aHflGPypHJHnUcZVz1C2UAUKXsq4/HLX5zmfsHFMCIuKPFtYZ88U2GwzxsSI634egVv64gfYkhfIZNQ+R13JIO2cbzbRflgqwLHPgUXR2VGgUUEKcA0qeFHhZZKTYV3NyGP/JHE7tF9CdZgMAetXl226vy4leZnbXq+amNzOZtc7rHDx2iSGbThoR7ryecslyo73A+uXfdlN1Ha3HcqDgZacf85RsVApSExoTxQkSAqunYgz7g4/3q2HMNJFHGUQY5xnrhIQ5WRKiTFkbUFpYeL80+ZkRByHZrQr4Uj4vsb70Mc/7OgeNkS5w/KDS7xEO5XvRr2Q/6X5mzu4b3wdxkq7nKnzeSP22rfETs61G2HB/I23BvKTTBs61GWiR/H9bPlXugY6bLNYrvXmY4nK17uO2WHZ8B9Jy8IIWWHe0/ZeRqxUVqxX47Fx3UufYzfKht6QaLsUeZwKm8qz1luv+FiuA63IXYxPFhVHJxDZGIxlGVIhzJiSB8ihRn/MXEB2W5hycpfnC8KLX9QNG3QtIZTGz/NGTSjMQeIP7B0xbYb8EesPx5cLpe3zo6Qh9VqKBArVl2ascW739rE6D27PVGzbyYG7ObKMXv94nF75+IRO3MsVAzFLuusBSFYj5Nr4A+UP1bugZ7Pblyb0iFN8sC9Zwg6ZYOKg+eBCNKMyWIMNCvxUoJ4qUIDVcKiUbmQIHKtqqBA95NnqkqTOBRPOj7lm3QVD5Uwecfxokc6wEsd5RlBpDwrrNB+ozw/LXG8uj4c19bZiXUd/AQhpCWho75oixP37fY3X9jY2IRNlIs2Pvxj6zx20V493msvHe6yk0M5C+9R4ZqTaBNIQ383Kjt62RXxPjzrdSq+OF7ipMzwd4v1xT4vs5Qd6hGeAfefl1hZ/nH52QjSwcV+dQw4no6H33H+VD51bziv9BvlQ8eyzjUzLoYBbkHaxVAAOUaBIO8IjcQwbialz5BmUokh/oXi3GpBziIrf/ojpgLT536o1PjjIm9UwDTf8kdFJze/d1sMSYuKjHuC44+6uzv8YdMNtRoq9WoQj7kxm770vt39/opdHlu1Pzw8Zt9WLthvfn7W/u3PT9irLwzbgZ5uLjiI6Nr949p5k6Yyl0ikK7TngZ4BjvJAPqjIGIKuSg1HhcZIT+b+8UKCKHL/VaHFcVEm5OLjOOD5UkniuF41gRMXQoEQYkWQJs+X+52VDmFIgzwj2lgllGcGSzBdiHxzjvgQQvIet3QI5Us8bZlOo3jZkn+uhfKistPV1Z2ktVpbCWI4Z53VWZu+c9W+/tff2/Uboza60m8PX/gHK7z81/bTF3rtrePd9tLBNcswzjLxU3b0gsG+rLIk/tT1wbNeY3xtOOLDIYD0y6l/Dsdz5N4zBoHnQB3D89Vz3SwvSkPpCB0Dpa99EfsROp8OHxP7yYq32Wl7MdTDlUvDw6RC4RwVLRVFLIZqJtU8G/UZ8oeLX6G4ie9pC0icT+JgiwBQqWGZMOKLFUuYE8kbPn/kWINaAIA/Jr1dbobyu1NwP0hf1ulapR3e9C3coyCIlbkHNvfN/7J731+yK+M5+2junH3b8Zb95p2T9vdvH7RXTvXbUDFvtUr1kRjyPKjMEf24iY/ju/FHyD3iGVOeSRchIS+UCYSRcsMLEpWa5gNSNuIKLX2flW+Ocx08Q+JGZHnZIW5ZD5wnHuLjfmJ98pypOHnx4X4jJhJE8kl+CUNY8ksFzLJvTK5GDLmPlBFe6IgHAVc85En5zcp3nPenJU6DNLkuNRdSdorFnuR6OqxiHbUFy9lcEMPr9uX/+Fe7fu2BPaz229xr/8b63vil/ehYj712MG9nBoKFmaMV5fHfDfeBa+Ve8rfCPo7jWc8FdH07CXHyckM+qFcQQsoOz4gXKFoWKDu8VPFMeCmJn+lG97rROR3X9aSvi/O4+Lj2N0oPP/H5dLzNjovh+oNXnvQA0wUBPwgP/iSGfM6Jyo9C+vbbbyeVnfoM02KY5mkKivKKU554m+WPmDyxGAB50ooR/EFRQfIHxZaKhWP6Q9oIpbNTkDYVNY4m2/5+vvOIMId7YVWrzo3b7Ff/3cauXbbrs932aeVVu9b7rv3ytUP2mwt9dv5I0fq7QxVYfix0PA81T1KxU6khEgjI09zfrULcuv8SQ8QFK4P8IDBY6ByjH1lCyJxAXkyozLDmsio09ombOKkkiY8yxjwvxIrKkoqT507axEFclDdEg7JIeryUUZmqWVxx4vDPPUJYEUItN8iXCig3hEHA155Tf1IBE0ZlQvnVVvdaW9C5raL7KcdvRJm8UHYR96S5EMu6M5Thjop1ri6G8jNnM3dv2Rf/7c9289qkTa0OWP3Hf2Mjb//UXhnptnP9nXasGMQw3Gr1GRI/z4b7yLPib4d9HMd1HelriK/vaSGOdDyUY5415ZfnyzPhOXHNPE/KDqPVeaZqaufveCukryFN1jVlhYn9beV8VrzNzua1YhvCg5QTKgDpLcT+4zDp4/G5rAK1VbLi4o+HrRzIH7+pOOX4g9/Mxf6fxsVxpONby2twyUjStbzyKhK8BReuq7PL+gb67eDRERscZrpAsKS43lCb6dp0nargG6X1vJzSUdpsdb8RKAldnDflPU36WeKIH2GnskYENfFZ1iEvQFSgsm6wHDmPP0SNubAcw4/SVv6E0tI9hEb5Jz/xvW20n/V7K05h2MrpnPKn/OIoN6FUhwyvBBf8W8GqHQOh6AQLsr/HDg3lbKCn07rzXHNyKQnx9SveOF01tcfpy+l4o/Obuazw2grde/IZ503Xv130zBu5LDbzt5Xz+xHvMwzEBS1+uBzD8Rs/KpRUPu+9996jPsO0ZUjzEm/qWdcZ3+6nKTRxePbVTEqlSGXImoJYSuSRipCOd/KkZjPe8rf6VvkspPOpt3wcb7fcn66uYB3l1ppJV2Ye2v0P/6fdu3rNHtQH7d6Rn9j8i7+2t4732o8Omp0Ib/jFTuaQrVlDwPPgGnmzRzjU70MFsht/kFwXz5j01EzKfVdzF/nESuP+47C2sG5kFWblkTiJj+tikj3Pk8UdEECulzBY2TxPLD6OYeXx/EkTaJlgUjRpY43SMiBrgvyyJRxWJ4JJszrWIekRD+dpkqSJFMc+4clb+rnCTt5r8ke8xMl94lopw5QZyk6hUFy7d6sl66hNWt7u2dTde/b+/3hgN+7UbKV7xE79+sd2/qev2pFi3g7mzQZCcaHEPM75Wn8zZYZ7wDWzzzPcTtnZ7nWn75/gWZMPvdTw98u18xyx7rEIaWGg7PD3S7O4/gacncPFMBAXUhVwHdNxtlQgbCm08QAaCu1uiSHEeVJljCjyR01+sCao4Kjc+MOhUiSPVKA0Oali2wrPksc4n/zx8gcutyYG3J9lW62Fymhy1K7+rw/s9uU7NhMqtKWX37Xcj39jFw4U7JXeuh0pdFghiGGF0aQhTzji5bo18GG3IF3Sk+M3AsjLCFsqNwSKChwB1GheTWvJuqc6RlyEJR6WYqOMffTRR8lxmlgROeKkL5L48UtFyrNmEQgqUuIiLSrRX/3qV48+ukraEN87wpNfLEmsTgSdckRZJy3KNPlHlHSPs/IPxAmNzm8G4RUHW+JBmCkv2jKaNJwwq8za6vJ96ypftgd3Ru2/f1C362M9ttp72N78zev2+k/O2nB3zvpzHVYMMpgWQ+Ln74brjLewWf7T17nV6yUc95B02Coc95wXGV54eO7ULwg/zw9HfcL91wuNC+HzwcUwoEIK6YKt28N5/mDYUliZdL8XYph+XKSBkyDSb6WBEVRu/OFQqWlqRTwYYivEeWR/s3DyI3/aKh62yX4Hb/fl8Io+Z6vVSZsfv2df/M+v7frVKSv1HrLCWz+2g7/4pZ0dyNupfM1GujqsqyNUYOsdP0pH1w5rAvukZb9TKD1Qujj2cZQJBEUDlwCxomzwAoI46SVAKJ8xXAtWCqJGPx59wIghz40yhgiqH5I4eeaIIYMu+LSYRoRSVrEkfvvb3yb9TbwIUaFSmUJ8DfilEqYsExfXwAsGViGVsSwSXX863+l7E5+Pz6VJn4vjELpf+E3iTeIO4VamQtG5afnpT+ze3TH7H98esptzhy03cMze/dWL9vZbx6y/q9OKwTuvAIRK54J04meIU96z8q1jOq48KUwj/4J93XOlix/uORYhW15EuPcqO9QlPHuVHZVxZ+dp+1cMCmTsVEhFXPDSfnVst8hKP4Y/GCpIhI+3eSpMrAj+oBBCNbHgb6tOb+Tp/UaukR+O4568n7UghEvhDX/KqsuTtlAJolLvt+VORr322tG+ThsshOtKXuufvGbdA+JTmvFW+zvl0nHH8XNP1XRJk7maRDVwSU3T5DXruYHOUf6oDKkU4wFBvMAgTjxX0sBy4FmzJQ0JF+ewIIgDUaSCVROyXhqE7h35Jx7KCXnGApVFQhqkHV9zfO2b/U6fi10cX5Y/8qVz8UtEePpWr1WtWlqyUhCR0uSUlUNVtto3aJ1DI1YIL6I9wTsL06lDoNFfKfeAuNPp67fSj8/Fx2OX5SftNz6v6+N5IXi8dHD/ednhGXD/EUXdf/LqPD/aXgxBFVS6otIfigoh59MOdruQKl1tgTzoD4uKjT8sKmX+uKik+aPCWlWlgv+tumfhh/FE8dURw0WrI4ZLk7YYxHChY8DK+WErdvfaofBaP5gPb/bJ5PzwNr1+uVx3/NKiZ/Ssed0upEfaOO47okQFhiAhWgiULMKt5o3r0pxCmi8RMY4hqDxTNXev9bl2JekixKTN8yZd/CJ8saASJxagiMsO+ScOXqLIP3HQmkA6xBWXGW3TTqR/b4WsOOJnGp9by3d4/uFaKqVlWxqfssWJWat1BLEY6Lf88JAVeopWCGHyIdhGFVwcf5xOvA/pcyLtbzPkX2VGvxE7/j71MsWLCM9gbSrJeh/pul/n+eFiGFBBUyFNu/itTvsKs9sFVJUYFWQsCHH+qSSpxHjbxLG/m2+XcUXLvtz6kbUNX6NgROlKyWrz01admbJSvcNKxUGr9Q5Zd7HHhsJrfW8QwpzCRPGK+Pp3Ez173XfKBvcZ8aNiYyvB4nwa5Vf3Rs8SR9MnQoiAcZxnp7jjviOlreeNIMoS5TjxMChEoqpmft0ziPOvdMg/5Ya0GuU/jiPef1rSceg32/hccts6wjXUq1YuBet3fNFmJktW78xbgXVsR/qCZbg2+hir8GlLhdKNXYye39NCeDmeJWWF58uLrKx+nnPWvXeeD21/p+NCiRMUfioO3rDjP4S0n6w/lOeN0iR/OOAPij8cnSOfVHA4jjfK9/NwSkMVb/ocJPkh/+Htvjo9ayuTM1YO1Vetf8g6hoatO1TKvRaEIAihmrpCoCScXBbp9HbaQZwH5YN7zDPQc4A4DGSF5xhlLBYpREvihR8ECpd+lnH8qlARsFiEFRdNrezLP8T5EOwTjrSyriV2Kn9Z57brstJIx002WcKvsyOIeo3F6Ms2MVm1yalwLohh/0DRhkaK4V6F+5RdPH5AfO1xWoL9dD5i4uON3GZwn3leOD1j2E4czrPT9mJIQaOwU1Fo0jSjuhjdxYhMBqHg2JfjHP0x6otJVzLPk6zKK/0HDfxBqXKWn9jf8yT+A866L2SDkaRrb/fLtji9YPNTC1YLxTE/0G/dgwNW6CkkfT75IIYU0qycx9cUp7lXZN1z0H58bCPS19IofDou0pfTOcWVvjfpsDrPcfKffpGSgzjO2D0/QrpJ0vwvvCDUF61WXbRSEMPx2ZxNLvRYR64QLNpuGx7osiJfqcD7Nnj+15CN7mujsiP2Im/thothKGQSQvpXGIXJyDwmLjOBmZVEmIOFY1+TnzWXj3Bp6/F5oj8S/cHEfzTpPMR+5C/2/7zJuidJ8sEhhvV6xVZKKzY3vWQzU6UghjkrDPRZ7yBNjN1BCMNbc4iC5deUb8WZvq69JM5TLB46luXSxMfT/tIWGOgc6DjlMG1lqpJlKxenA/IrOK4w7Mdpxfu7wVr6YSt5Y2H32pzVynNBDFdscrFok6VB68j3WH9flw31Bwu5+5FvNbBviu5hfC/S177TKP6s+5x+JpB1zNk52loMKXxUHFh3WHkML0cIET0mO7Ne47fffps4ljpjy3B3zuFPc8oQU8UXb58XWRVb+g8ZdGy38iVIJ3bK11r64VhSRVFx06e1Eu5jyaYmV6y+mrPegV7rH+6xYk/3o8KpeCCOK75+iPd3C/Ij8VE+48ptIwds09chy4zjxKv5gJSzWOhA6XMOP5Rl/OsFjThk5cnySKcXxyeUx/haRLwvso5tF6XT2AU/q+WghzNWLc/aUhDDiaVemy4ftM6uPhvo7bLhvg4rdgV/63FuB+6DXAxpxyg/z4LiiO+v0uZ5pp+z8/xpWTFUwUoXKBU2KgsqDUbc0ezJ/CwWusbqoykUC5F5VzSH4rACaULVXCAKMYMMGDGI08AF2v3jdLUfH9sJ9AfUyGX52W2y0lw7RIPoktVra01d0/MdNjXXHU52hwotZ4Ph7b5Q4Et1wSoKt0x3jaDpOPV7L65PNEqb43FlJwcqC+lzOAayaAAFv2l90MhQtlophTgkhByjvOoFjeOURfU30o+IIMbpbMZGfuJzW4nr2Yjir5bNloIYLs3achD+mc5BmyseCWLYY725DuvvrCWjj1e3maVG9+R5XpvSVBpxWlnpZh1zdo6WEMNYbGKntyuc/Kny4C2aSoPJrliCrN7Bl+tZyQPBo7Kh8tCgBConjRJktBfzgFjqignNbBkOzdBoKjCIm6tiJ56mYBNGLv6dVeFmHduOe1YUB9u1vKzlJ5G21UpQuRmrV2YSMZxZLNrU0kio8go2UFgNjo+I1mwleOW77gwRSu7cet7S+Uv/3g2UD65NLs6HzqcdqBxoq+NAPJQ3Xq4oZwga1h4vY7yg8eKG4CF+sgQpx7ywscAz5RfRJG7iIY54ZGicppzyHrss0uc2+/08WA0vsPVwL2rBlcvhZbZ/yBZHjph1Fa07vDkVw/l8fW0+5dqVbg3ynfUcQdcl96xkxaPfbJWH9HPReef50HKWIX/scvodw2+ESoNleJtmwIxW3wDepKlEqJAQOBxzvLAA2TIXCzFkNRA+rcI+flThQJyHNDtRoLP+SBodE/H+bvBkPpLdQLgniGF13urlmfAcSjZXMpteLli5GvythpeQYBN2BAlMLMM1e3D9v8fs9rWkWbumbBefj/fj3zHxeSpAXqgof1oxiJcwXqwop4gd/dlsWfGG5nr2cbRqIJi87PHSRlmlDMvKpIk0Jk43dqJR+d2MOI6dg3ITXmYrZavMz9lKcMvhhaAUrmk5vLBWw8tWKDqhXAV/tcf53soVKL/xPcg6thPE8aTjTJ/Lcs7zo6XEMOuPN6sAUbEghhJB3qyBSgPB0yocjZzWhkQItXYjFZYqHCq0jXjaSqYRWdeYPrZXf0iP013fcu31qoXazOpLs7ZSWrC55YpNr3TYwnLdyitVq1aqthqeETzKNTvrce3VtWyVOH/pvOo3WznBPmVHzaQIGS9eTIDnGEJHU776r9myiDf73333XTK4izJNPLycaSk1vaSpXG5W/uI8ZZF1Pn1sszi2BYsuJLIWxLBaCUVn3krBMiwtzttKdcVWwmvTchDA5SCEoeiEv+9174Gt5mIr17RTEG+juDc65zxfWmJtUl1C1qWkC5asQioWFkJmqz4YKiBEjlU+1P9HeDVXAGngdByngQnx4ASc8qPfabKOtS5ca7h39WAVroxbbu4v9uDmVfv0szH71z9O2zd3Ou3kT9+xl959w869eNJePnPQzh3qtUJnuHf1aK5hCxCX07g8Cf4+eEGj2RORY81RCR393JRNBJKXL5pKKc80jdKEyjE+Ms2L2oULF5JFunm5o7k/bRnuG5KiQ5dDzVZGL9n0F//Rbl67YV+Ortr/N3bKpntfst+8+4r96NXT9tLpg3ZqpGDDxfD32VZ/X86z0nLNpKKRAAGVjfphqHQQPSxC1vLE8tMyZlool3Ny/JZTMxRv3vHgBKcxa3eHSpkVcXqs0D9og0cO2KGTh234wID1FwvWk89Zd7iPTK2ggLbbHeWFCkuQZlLKIqLGepX8RtAou/Qb0t+NQFKOEUVEkjKKRaj1LSmfxEW4liibnV2h6Axavm/E+oZG7NjhATt1uNeGBwpWLOSTD/+Gv8Lg0f8One3RspZh+g9f57AAGZFHXwuDZhBDKhmEj3UBETmaPBE3IK+EldDJ8su6beljCpPFRudamvCGb9VF61wZtYWZSbs3tmg3767Y+FzOhk8eC6LIVx767eBgjw31rn/Ul/u/Hnw/o/KR3mZBvx/TfdSvrcUfNFpUA7QoQ5RJXuiwCmke5UWOpnvKMmUbkVR53r+EexXKTnVh3Er3L9vM9Iw9XOiwa6VhW+4+ZGdPHLCjBwfswGDRBoo5K/BR3/WQjrMVWkoMId6PxUbHqWQQQ5qgPv/88+SNGhHkLZoKJB51p/ldym/cJMq+flPRsIWs9NlyPM4P+/Hv9iHcn3rFOmrzVl5ZtvmFis3M1WxppdP6BvuD67VCsduK3cE6zIUXj/VQrYDKBtu4nKThHGUOwaP84RgtiiiyRSBpFqUsUwax/Ci3CB+WII6BNzT7c47yib/9zfq9W1kMgjiZNA0vVjptqtpntXyvjfR3W38Pq8/krSsIYa4d/7ScZ6LlxBD0OxYbHdPcQkbe8T1CKhQ1KyGKhKESoh+RN3McfgjPOSoW3sBx9MNo6gVv30ovK32hY2yzzrc+3BssvbUJ5NXqqpWZaVEPlXpXeLEIrjPUZMmtefKx7ntULuJtusxoKzjPMSp/yi0OMaRplLLMSxiCpwE3jEKlTFI+KatxeWsJmDZRXUm+a1lb7bQyq9d2hHvA102C3qP5LVh0nF2g5T7uu9HlcC4WQz6civAhhowKpQ+Q/hgqGwbW0CwVD7DRWzjNqOo/VF8in79RU5TykJWXuHJqmQoqxW5bIdxljT5tVjYrExyXS5cNjlH+eClTawVb/o7wp9YJyiatGvzG8Rz2QxlLX+9u8zzrI2f/0HJiCI0uiePpZlLeuOkvpJ+Ft2qanxiUoIW6GaQgMQQqGyxBhFDffWOQA1v1zUgMsq5Tf/R7XQE8L7imtQqbZcGqyX1LrrLRpYZHlX5am94WAgRPnZ0d631lfPONASJrp5sRyl5WuVQZ0HkcxyhD8q/j2m9UduRH5+Qvy28zQRmhzPAimvzNcB0bZXn9Nq5v1gj+t3SVBAr3g5GmXeHloVDoXi87zX2PnOdPy4hh1mXEx1TYEUOaPpmwzAAamptoUkLIqID4zXn+MPFLXvljZStHvBJFLEL6G7Es2cdq1DB2/CkP2sYVVKv9Aeqaxscf2o3r14Nlfd/mg5XdgYWytapqS6yu1q0z3N/enl47Fl5CXn75FRsYHEzueTMTl8c06XISwz1tdDze4gen35D200ywKlGttvZyeje8nF6/9v3a4KD6+gvUDpYZwf3h77xQLIS/2zN27vyLSf+qxgk47UtL9hlC+pgqA4SNPzisPiYr8/UJLD/Ej+Yn/jAJi6BhKcYjSxFHLEn8Y0ESFyKKZfjyyy8n1iGj+RjIgMDqOolP+SEfsWslZBFfv3bN/vjhB/bNt9/Yg3CfcwyE4WO+O0Q9VJb5fFfSR3bx9TfsN7/9rR0NVnp3Fx99yi4PzUCjfMXHtc9W5SMuJ+nzjcqR/GXF0SxQXvibm5ycsC8+/8w++MMfbHpqKvydVdbzu9N5XrV6uC/5XD75u/7xT35iv/jVX9nRo8eSv+Odrpec/cW+FcPNsp0+r8qAtBEz+gL5+gR9h/QN0iyKEOKPwQg0g2quIcLIcZpyEFKsR6ZmMLKPdPDLZH1WpkEY+R3/ceFH+xIM4pNrFXRtX3/1lf2X//yf7E9//Cjc31uP+q92Cl5C6B87FO7zz3/xS/s//q//21544WzyAgJ7UKS3RFa+0sf4rWPpMhKfi8vTRv50TNtmgrzzEjp6/779y+/fs//8n/5j8vKEQMbXs5Nw3/Qi9bu//Tv79//hP9iZUHb4m4/vm9N+7FwNtUOoQKadyDonJ+I/JB2Pt5yjWQTLj0oVccRCpK+QJhOE7eLFi/b6668nK3i88soriWNB7h/96Ef2k/BGyTkm6TPoBhj2jkhiOSoNULr84UsQlD/5aTWw3KjklpYWbSFY0LxkLCywzXJrIySzXZb/4NbjXFpcetzP9GQP0r4hLgOUFZWdrOOg43F5akQcrlkhfzw/BHBpMZSXrTz/Ry72m3YZ/ik3wS2G8+oKScpOk98jZ3doOssw6w9YFQBbnZefuNLYij/S5o8A4aLfkO8T0nfIlj/Id999NxE6rDwGyNAPmLZsEDw+9stnnxhgw2+sEvoNaS5FJHnTpFlVNMpnK6F79O0339h/+3//q/35zx/b3Tu3k/v3qJl0o0tef1aJpw381YNlyMvMoUOH7ac/+5n90//2v9vp8LwK3fvPMhRxeaVcxGVD4bLKUHxOxyjj6eM610xQXvhbHBsdsw/+8K/2X//Lf05aaCrrlmFmIUgd4mdypevXmxzJCJYQ/NBM2pXP29DQsP3mb35r//bf/buk77DXLcO2Z1+I4XbhD6lRHBJDLDlW/2ftR/oOaTLFQkTMEDWaSOkDRAyxHlXREy/+CEvzKm+hVPb4Q0CZr0hYxJDmPKHKKK6UmrGCehZ0j+7cvm2ff/apff/91fCyMJ4cj/sMH111cv16TuG5Jy/p/A6VN2uSBrde0/G/RxueYS5UaAyaeemll+1nP/95IowIJDxr+XneNMofx3GUC5WN2G9W2ck6r3ggjqvZoFzQ9cCqOpe//cY++/QTm5mdsVo1/N0kWf5hvh8dSa6JexWuM/yr17nmcIx/T1zz+v1Z39RDIcvl8sngt9dff9Pe/vGPk6lRdIVsVC85rU9TimG83QgKfOwv3m9UAZA2YsYbKALIVwCw8PgEDsJGMynCRr8fk/BpBo1Hh2LtEZ4BOFiXHJMQ0l+oZbAIk76GJ/9IG+dxv6Lroy91bGzUpiYnrbS0tHadT1xruC/JraECC1aMBcck6uDWikaIJ1SUnXnWmVyLV1LKPveVirQ7WOMMWOK+9/b2PRLjZiddLrZLcj/XiePS8axjzQh544WRlpWJZF7vfVsJ+0n9kGQ7nff164rKTviLTqy9WpXfHA1lhZaI5AUsCC5laT0atvihnPDidPjwkWQ0MsLIILlnfS7O/qZpxTAm9q8/7nSFICfWrJHHfoiD32w1teKrr75KBtBosWNGiCKI+KM/kTdGKttYDGlKRQy1HBZ/SFiD9CcihFoFRFZKnAfQb7bpc61C/DziZ0JVhWOCfL1WST7Hwz2s1qpWCdtKleP4CM8uvL13hnuYy3clFVVX+N2V77R8MjI13D+iCzvMF2vle9kONC4vMchc+H8oIJSd2nrZqYSyUw2WJI6GmMdlpzspOzSJMno0WaItt15eQjwUF31w2suOA005mjTO0sZ/II1RAWcbx8EfEIKn5dgQQvzozZDVZ2hG1TFcLKzkHX8cQySZRqHl3LAQEcdYPBVO+/od77caG19bePbVeVuZGrX5qYc2OTVnD6bmbXKuZMsroXILp/m8bz1XtM7CgA0ePm4jh4OFfmDYjoz02ZH+zh98zol7i3P2J9v6W6jO2fLkvVB2JkLZmbHRyXmbmlu2ciKMa2Wn1tlj+d4hGzocXk4PHrEDBw/Y0ZEeO9jXYWuvqI/xsuOIphRDiAtpVhbjY/pD2uwPinSx7BA8+vz+/Oc/J1YiTaFMocCiw+pj+gQO0eQ3AkpYBBCRow9RiyIjgFiQxIEQcg4/+I3zqP1YWLdcAex7uE6eednqlZKtzD+0uVuXbOz2Tbt976Fduzdtd8cXbCm8hJRrdaus5q1cL9hq95AdOHPBjp+/YKfPnLaXXzhsr5wetIFCLvm8E6LYLnewvQllZ7US/obKtjw9ajM3v7WxO7fszt0HduXOtN2bXLBypWwrfNx3NWcrqwXL9R4KZecVO/rCS3bqhRfswtlDdv5YX1J2ujvXPg/mODG5fw6s7+8aEgbEIMsJ7afPx8e13YojXYQNgcMiRBDps6AplMEy9BHKssMiBMIgYPzWSjX0KyJ+9A2yRRSZxCshJK00cT7i3+1BuM5QmVll0WrLM7Y8O2njDx7a+ER4q1+o2EI5nArVU75rrSk0Rx9iZcnqy/NW4VvAlY5gMXZYZ3fBegcHrJNmsBBrPkTrXydoZdYfbj0IYXXRVkPZKc2O28OxhzYxtRDKTtnmyx3BEgxlJ/laRad1doSys7Jo9ZWl5Kv3K5SfarAIiwUr9vcm/Yl5lvELBWh/9DA7u8Wei2EWacHYzCFWculzcTyky+g1xJDRpDSVYvEhaAghFh6CpqZRYEv/HwKJUGI9Yg0Shi0WIiNHNxLCmHS+2gJGklZXbLU0abWF8eQ7hnfHKza+VLBq94j1HjxmR06eshMnj9kxPvQ7VLSRrmXrq81YucSqQFVbWq5ZvRDu88HDoeLrtkKIshiUkErtsf3ttBb8fQRXLQUhnLb6/KjNTU/anYmqTa4UrNI1YgNHTtrRU6fs+ImjdvTIiB0OZWc4X7JePhFWqtj8fBDMpZp19A5Y19BIeOHqskIQzd5cqPy87DgRTWkZbsXFAojL8pN2IMsQMWSxbsQQyw4hxOKTP2CfuBE6LEJEDz8IIFt+I5IS0HTY2In4d3y8dQnXyBSJ8pKtLoxZeTZUaDOzdn12yGZyp2zgxEt2niHuP33LLl581V558bSdO9Znp/tKdqj+0BYm5+zhwwWbnCvbcveQ5Y6ftUK45wNdHTbY3WHdXqG1LrxEhaKzujJvq4sPrT5z26amF+zGwgGb7zplfcdetlffedt+9JO37MKrL9vL50/a+eODdqZnwQZrUzYfys7Eg1l7OFmySv8hywXhLPaEslPI23B3qPyCIK5XRY7THGK4m9AsygAZhv+zpBp9iLLqGOLNKFOOM3WC6RfMgdIoUxz79DnKIawIKnHE17LRten6Ybevf/fh+oKrlW01WIdMmK9YwUr5Q1YYPmyHjxy040dH7MhQj/V391hPb7DCc1Xr6SoFq2/JpkJFNjVVsZVKsNaHj1vP2Qs2PNBrhwpmw4WO8JbvFVrLoj+NpOzgKlbu6AkvRUesZ+iQHTx00E4dP2CH+7utr9BrvT0568nXrTe/aB2rJZucKtnsdNkWSx3WdfiM9Z06ZyMDPXYwmIUHi2bBQPSy4zyircSQdBEumkoRMgRPA2QYSMN6pVpZBlHkN6LJtAs5fd4Jxz7iCDShqpl0o+bStBDu5vXvGeuXuMqQl3yvdRaGrDh0wIYPDNiBwaIN9gTre32IKNMt6qsr1tlVDv5qNjW+bLNTVautFq3r0GnrP3fBDgfhPNrTYSPFIIb+dt/CRH8bHeGth7JTHAlCGMrOcL+NDHbbQLEz6StcXV2bcrFaL1uuWLZaRzUpOwszNStXuqznxDkbeuG8HR7utcN9eTvkYuikCMWhSaGUhgK+Wg8VIW+E5WAdlJlTtDbJljK83XKM8NDsiVgxGIZBL/QHat7h9evXky1NqBxDJPGPH5yaQhFUzuOPNU1lRSKWWJ0I3mYi1xYiKHhQoTLr6Oqzzp4RKwwyf3PYjhzoswMDBesNShjOhsJIc3fecl0MduizvpGBZMBMT2+/9RR7rLfQFfx2BmuwI6nI2ugOtinrf+WdlJ0ghD0HrDBwyEYODNlhyk54kerpCqUGL+FFq6OzK7xEFayQlJ1B6x0IZaevz3oKPcEFQYzKjuOkaeJiEUp4B7NoK1Ytl628vGLLSyvhLS+IIyuVrPvaLogQokYfIANg2CbrIwZBYxUarEb6AhkpyncKz58/nzgW79aWtUcZgUo8yeoZExNJWCxJpmQglo3EjuOxaw94luFac92hsuq1fDFUUD1F6y9SQeWsKxfuxbpPJkJ3Mhk6hOnqCPcxX7SO4pDleg9YX6jcDg/lbKS3w4pdQTwJRH3ptDTJUn75buvo7kvKTm8oO33F7uQl6lHZ4e8peZniV93yHeGFtKvHrDBsub6D1j/Qb4cGu2xovewk3rzsOBHNK4ZJCa9ZR71s1ZVlKy2UbGG+ZKWVilVYuisU5KcRRP5YsAxp1mQEKYNnsACx7BA1BsfwpQoW7P71r39tv/3tb+13v/tdssX97d/+bfKbr1ewBikWJhbhjRs3kr5Gml8RQyzKLEhfA37ainC9HaweE+49w9tz3IfwDDuxouNKiX3mUywuWH1m2lYqOSt1H7b6wAkbPHjQzh3pthMjHTZQDM+RW+wVWutD2eFr9Otlh1eltXITHv4TZSf8YD7FQvgbnJu1lWqXrYSyUx08bUOHDtmZw912NLxMDRRDuXMxdFI0lxiyTmV1xaqlWVuevm+zty/Zne++tCuXLtvXl2/a19ce2t3JRZstV20lFPynFUMJkqZQ0KyJIGIVyqqjWRSrkakUjByV47f6B9X/iGXJQBzi4FjcLxijtHFtS8NLD5WbVW21tmQrS4s282DO7t9eslK1x4qHT9hIsMaPnjxix/rzNtId3u7zaxWa12dtBH83P/jb4TdlJ/zt1kq2UlqwmbE5e3B/OdQRfVYIZefg+bN27MQhO9LflQy6KuYUynEe01RimHSClxeszAolY9fs3tcf2eU//d4++dPH9sGfL9mHX9+zqw/mbWqlaiWsw/VwT4NGlapfkCkSWHmakC9LkX36BnE6Tj+hBtfQLEp4mlY135DfgChKGDkmEYyPO+uEZ99RX7JaeTa82PPx5EW7dr1myzZkB06ftNOvnrFTpw8HIcxZXzAl+aZ9c73JOXsH67AtWm1l1hbn5uzunSW7dTcYiV3DNhLKztk3ztmpkwftQHiD6guFpttl0MmgySzDIBL1SqgQF2xlLgjivSv24NrXdv3KVfv26h379uak3ZtasvlyzcqhPD+NZYgIYb0hgggZFh1WoCw/zjM4hikVCB99iXJ8sgnHPufVP4gAxpPvEb1GYucimCL5blOwCJPm8HlbXpgJYrhokzOr9nCu1+rFUImdPG6nzh6z40eHbKgrZz3hnYLVZ/ztvp3hyVMD1MJ71IpVQtkpLYYXqflFG59etcmFHuvsPWgHTx6zM+eP27EjQzYYXqR6OteWYvOy46RpLjFMmkGYlsAIsbp1VphsO2lLc9PBMpuzh0EI55YqyRqE4d9TFWbESJ+NoX8PMaQ5lOXYWHAbQUMoETtWqLl8+XLyvUMcHwDm+4dMv8BKJB4sSgbTsLYpA3L4rabXmPi3CyKsV0dBCK2+bPXyvC1OT9r0+LRNz67YXL3PyoOnrffwSTty7JCdCEJ4aKhgPfnOZLHl9ZkYTlvyuOx01EuPys7MxIxNzyzb/OqAVQfD3/LhY3Y0lJ1Txwbt0GC39eZz1hWCeouCk8WeLtT9w/6zYBnylrcwaaWxqzb/9X+1q99dsw/uDtkXM8dtqvdF+9t/+JH95lcv2guHB+xQd6f1rYfcCqRL0ygDXliX9JNPPkmaOhFDplnQD4gIcl6T67H+IG7mpK+RfkPEDxFklCkfBeY3YkpzK3Fxa9O3V3H88NrbiXDdXP9qLTyUheRLBCvzU3b32qg9GJu3+WreSsEi7Bg5ZocPDtnRA/023F+0fhZZDioYXjXCfQ3RcH/XInTahrWywyhzmtU7VueStW5vXx21h+MLNrfSaSu9Ryw/cjQpO4eYyzrQY33dHYkQMko5wcuOk6LJXpJCBZkLQtLda909fdbf12tDoRLsLfJdMobcJ38KawWainR9wE1tpWTLS4u2tLhoi8lKMWG7tGylZVYuqVm19rjgI06IotYoxbpDwLAM+cI90yb0hXusPARLzapsETlZg4wmZfoFW9YqZXBNupk0S/DaVwRFeBkKLz1Jc/jinM3PzNr0VHj5WKQvuNusOGT94a3+yAung1V4wA70d9tAPtz78KxXFpdsubSSfLKnyrNcj9FpB8LfDc3qteVQfBZteSGUnakZm5oML1BLNVupF6yjOGz9R47b4dOn7PCRkVB2ukLZqVpnJZSZ8PdeXimHv33KTlIKXRCdRzSZZbhGfXnGyuPXrHz5/7Hr312139/ot48nDtvD7nP2u3942379i7N25kDBDnXVrBiEcGlx2RZKFStXgsiFqFc7OoOg9lhXsdcKrFZf6LK+Yi5cbD1UpMs2G6zBa9ev2x//+MekmVTfI0TQsASxCLEQGUCD5YgfwCLE6kM8EUM5fQRYg2eyrkm3udH5tiHch9VauJ/lWVtZYkm7RZuZXbTZeT7fFKzpfNHyfYPWe+CQDYR7Olgw6+2sWK4Wnm8QwaWFsnV0F6y7Pzzf8Cy68kzYZzSh0xZUl62+MhtefoMAzi/YVHiJml+sWGW1K/yB9liud8D6Dh62gZFBG+heDWWnZl318JK1uGLLy0EUQ9nJ94Ry01u0rvC3GEqcN5s6CU1aDkLVti6UiXAkP1XdseW1jk8CLVi9NGmLMw9tYmzUxu6P2uj9MRt9MGEPp2Ztan6tj3E5KGQtMiFi9UecEDGaPZlzyNfqz5w5k0yuv3DhQvIFe+Ydsq/fr7/+ur3yyiuJJYlVSDjiwGqMhS69H/9uR9aWzCqHt/p5W5l7YPMT92x89L7dvjVuN+8FUax22erAsBWHg2XY22X9HSvWVV0I9d9csPhnbSZYAeMP6RdasMVSOVgCq1YLt9Tf7lsdmsUZKEPZYXDdetlJVo0atxt3Fm2uVrDV/iHrCWVnoDdvfbZi+epiKDvz62UnvNyOh2148VpcRjwflx0vPw405dqkSdPn0rTVJ7636ckpuznbbfeW+mwxN2znXjpuZ08N2lBXxYrVOVudfxgqyCkbezhv03PLtliuW7Uzb8FssDwWRFe3FbvXVjqhmVVTKugXZOk18sJIUJpFEcQkff5Qgj+c8opVKNHE0c+o6RjxUm3x9WRdH+LbdoR7kCyrV160yuKULU2P2eT9a3b/9m27ffuBXb8zZXfHS1YJVt5qviPc91DpleasPDNuc1MPbHJ83MYnwjOeWLSHs+H55rqsq6doxV6ebz6ZgO1v963Laq1i9VB2qqUZW5q6bxP3rtno7Tt26/aYXb0xafengrXYnbd6Lrwjr1ZC3REsx9kJm518YFMTfDdz2kYnlmxyPvxd58PfarFgPX3BMgzlLRfKDn+hP6yFnHajSZtJZ608cc0ql/9L0kz63s0++3h8rZn0b//dT+zXPz9pp3oWbXjlvtn4TfvuxpJde9Bhy539Vjh4xA6/cMoOsJBvqCyHgusr8g2zYLWFd8DyyrLNzs0lK8b86U9/SvoNGQRDPyGDaBg4o8W5aSrlSxX0LwKWH+KnwTNqItWHgTmH2MkBt1eOa+V41jW3Mh3hmmulaVuevGULD2/YgzvX7PKl63b99oSNzqzY+ILZQj28sAwNWF9/rxULeSvkGAIfykmoCJMGjMKwrQ6dt/yRYJWfO2pvnBuy8yd4xl3UgC6GrUjydxIEbHHSlqfvWmniuo3eumaXLt20G3cn7N5kycbmzZatYP2sY9vXE/4Gu9fLTs2sGsoOS7l1D1h95IL1HnvVXj57zF47O2KvnO63gfCCvOplx1lnH5SDoNXoNYNlasG6WFm08sKsLc3PBlFbsKn5si2srFrFupLFfIv9gzZwYMSGhodsaKDH+nu6rNjVmSzdxd8WFTOiphVmECcEDyuRKRNXr1594ssVzDVkGoUcvznOaFT8sGXuoSbgI5wbvV9IGNuN1XrN6pWSVcOLDnMJZ2cWbHq2ZPOsN1tlcfOSrSxM2ux4ePO/f9dG795J1nu9e+ee3bs3ZmPj0za1WLaljoJVcoVQcvOWDw9Uc8ac1oVWBcpOLViGy/PTNjO7YDNza2WnGizBVStZaZ6yMxrKzp1Qdm6vlZ27oezcf2BjDyk7FVuy7qRVwTrXFoZneo4LoSP2gWV4xd670WN/ejBio3bc/voXp+2nr4/YcM+qdYVKtLJQssVS3srWZ939wzZ0+JAdOXU0WITd1hdqyp58KPTraXCpiJXE75tvvkmEjEn2zDuMhUx5k4WnfR3nGmgaxZo8efJkMgAHK5EmV30NQ3HFt1jhtd8OrFmGs7Yyc8cWJ+/YxOg9+/7GhN1PhsLXrIQByBs8fvkvui2r1Vq4712W6xuxrkMvWu+pN+zciRF76UjBTh3oTqZb1MPbvdOCJAUhWIZL07Yye9+Wp27Zw/B3e/XmWpP5TKlspdVOqzJgDu+PwgT4mwt/o8mXLIrD1n3sgg2evGBnTwzb+SN99sLB7uQl2cuOI/aJGBbsT2ODdrcyYu++1mtvngsWYO+A1XKDQQQH7cDwoB05MGjDQ/02ONgXxKjXCkzODvVrLkSvFLhUrTzDcmp8sglHkylfvUcU1fwpx6o06g8kPI7RpYw0pUmV44RhigWiyAAcRJEmU12niK+10bW3JNw7+oFX5q1SYqWQ8GYfrMJkBHAtVHbBy6PxoNzjtb01KJ4swtBVtFzPsHUNHLbBvoIN97LgcnjG4QHjxWldVqtrUykYSLUUXmSn51ZsiWlT1bpVOZ+8QrGTVXZy1pkvWGcfn38asaG+YnhRzttgMZe0FnnZcUTzi+GV7+z317vto9Eeu73Ya2+dWLGXjuWso++YLRXO2krfi/bGhWP21ksjdnykxwa71po/suBSGRRDPyH9gXxlglVlvvjiC/v666+TfkJGiDKJnvmGWHvqCySf5JvwiCZNqYRnn/P4IyxhGGFKvyJ+Rfo6G117S8M1U22t/XtKQnFdr/S8ImsXVGZ2ouzwj5fa9UOOs06TN5mHYk+pXS2Ht8O1/qb5yVGbuHfbRu/cs7t3Htjd0Wkbn1m2hXLdVoL/x/KTjaw7iAWJY+zrSxU0dzJlAqd1S3UMi1FrkUoosRZxGoGquOXidJ1n5OlrQ8dxnEyaXAzX6z1EhHlGDM+vVaxSZiWSeVuanbD58VGbYuj95JxNMiCjsrZuaRJsbfMEEiVEiz5Ctgyo0ZJsbOnvQ8BoUmUaBv2Jcgie+hbpQySsnPoXYSPhI+62JLn39fAc64mV/XSOFYSSqJy2gb//HSo7STzr0TpORNOLYVJuOxi4krfOfNGKgyPWd3AkCFfe+m3Ouudu2vzYLbtzZ8xu35+yseklWwxqyFctmGifLvey0hA6mkvZYt3R78cKNPQPInp8solBNowY1ahROfoX6XNkIA7hCaO5hxJSkPDiOCbnOI7jNBfN2We4MmeVietWZTm2K9/Ze9cL9tFov92tDNvP3+q1104Fy252xiZvP7TR23NWHnnFiufeshPnz9trr56xd147YiNdlnzdgO/ePSJcaiWIFyLGKFK+REG/nxbmjkeUYukxyR6hROyw+iRsCCBxYFUigiznxoo0bPX1CsKqzzC+zvh6s67dcRzH2X2acAWaVaszemxxymrjV2xqYspuTPfY/dKwLReO2hs/fdleu3jCDhQq1rd43zpGv7OHMxW7P9dl85W85Xv77ODRA9bV3Wmd9dVkLhorz6zF/HgFGiw/LD5EUAtv01eIyHEOyw/LELHUtwz5zfwltswrTIvh4cOHk6ZWBFTiCfF1xtf7w2t3HMdx9oLmEsPVutUrS1ZZmLLFiTs2dftru3N71K48qNmdmQ6bqxXt6KlDdvBgvxU7gxDlytabL1tpZTWI2pKtLC4kTZ9zyxWbmy/ZSmnFKrV6EMGQBuOoA1h+yWjSycnke4X0ATI4BouOEaHsI4xMj6DZFMc+DrHDH9MnGG3KqFOc1ihFCNNrlKavsdG+4ziOs3c0lRgmK02UWWFmbf3KqXvX7f7DGbs3m7PJ5W6r5PrsyIkjduDQkA325my4P28jA3lbWV6xxVnmsJVsablq08sMfqlbPlhn+a5gLXZ3BZFizYkghtWKLS8tJdYffX9YdzRrInCIIfsSQkSR32z5jRjiB+HT1AsW9WY5NkaZYhFqII2uLS148e/0OcdxHGdvaLIBNEEkg3WYbDvzVi+OWH4gWGsHD9uxowfs9NEhG+7rs2L3gPUOHLbhY2fs6PlX7PTZU3bm2JAdH+a7dzWrL5eSz/1gBVaqNasyimwt1qS/soarVpPz/KZPkGkSCB9ih7hp8rymVtCEiuXHPv4kjOoj1OAZxBCxxyGKEkbHcRyneWmqATSyDCtLc1aam7DZB7dtcnLWHs7nbKrcY+X8oB06ddKOHh+2gwOrNlJYtmJ1xkZv3LM7N8dtar5uc/U+W+45ZCOHDtrxoyN28EAQr6HeZNWSXMeqrdCMOj1t169ds48++igZDEMzJ1+qRwS5HUykZ1I+65Cy0gzNqliQCBuCh3AigggiViOCyTHOJ9cRCaF+6za7Zeg4jtN8NNlo0iAa4dzad+9YnLccxArLriO4Tqt3IEbdlu9mKSUGx9SDaVuzykrFyuVaMpWittppq53hfLD2umgiDZZaLsdC3WsryCwHq3EmCN33339vH3zwQTKYhqZOBBGBw1pkUI0G0CCImoKBuMmKxHKkuVTNqzSj0l+oa4qvjVusa5ZAwpPX7jiO4+wVTTm14jHK2trcwLW94D8ryBNXEX6EeDkUeyVdfcuQNUn50j2jQmkCpakTkWNADVMssA5xrGOKEBJWeZAgsgoNTamMJkVQaUJlZKoG0eCf60vfYl2zi6HjOE5z0ORiuLNwqYgdlh8jST/99NNkygQCSZ5wmhuoeYbxJHrOI4xYj4TByqMfkcE0TK1Q/yHHCKdbG19n1jHHcRxnb2myATRrYrG5Pm9Vv/H3pF81dTLyE0sOwWNuIXMOL1++nFiMDx48SCxC/NEfqGkVbOkjROwQRa1Sw9xD5iJiZdKkKrFnu7XrcRzHcfaSPRdDiUXaSUiy/KytT/nYktP+D92TfgmLNYbVx+hPhI0mUs4hZIgb5zjO55iYQ8jAmthduHAhcXyyCSsQC5BmVT78S/MrFiPpILppixDnOI7jNB972kyaRSwaWU2JOi8/bCU8WcT+8MOWplKEC2uOTzh99tlnySecsOp++tOf2sWLF5M+QAQRwSN+wiktxO/KlSvJdxARQaxE+hBffPHFRDBpNsV6RKjj9EH5zLo2x3EcZ29oumbSp0FCJfQ7PgbxcZysxRiEDesOwaOpFIdI8jt9DH/4Jw5EUi4tcuk0HMdxnOaiKcVQVlMjyyk+v5G/NPKHCDIIhr5ChI3fmjA/NzeXDKrh6xRYfjh9tYItH/XFKmSfvkX8I3ZYhqxTqgE3abHdTj4dx3Gc3aXpmkm3QzrrsfA0uizSRgDVRIq4sSwbAsgoUwbW0MSpj/jSTMox4qTZE+sQf8w/REwRP/oPX3/99WR5NibuM9iGgTkIrkRQFmOcL347juM4e8++FsMYLkOXkhadGAQNEWME6Oeff558lYLfNHvqw72AyDFnEMc+kG81oeIfGJHKQJs33ngjEUINymEkqqZpSAzTuBg6juM0By0phlnoHH18WHY0c/75z39Oll2jeRMBY4QpYqiJ93IasSpoTkUktU4pA20YcEMcHE9/wgnYR/zkHMdxnOahJcRQl5DexqLDMRxiRz8ffYGsQIOFx3JqGjnKeZpREUymW+BXA2WID4sP0VQzKsuwMdmeOYj6akVa9JQ2ZA2wcRzHcfaWlhhNGotLLDzQSJgQZBzihWWIECJqcogbDrFD+HD40aecYn8sy6bmVBc7x3Gc/UfLNJOCRI5mTURJwoTjHMex8phjSDPpxx9/nBxnkW6WU6PPDwuQplFZhzisR44TH9Yf4kkTKc2iDLbhtwbZxCjdGOXHcRzHaR5awjLcCAlPWoTYV5MmAko/IQJIsyhiidPAGgSU8+pLZAFv/NGMikMwOY5gxkLf6D2j0XHHcRxnb2hJy5BtbBUKiR5CxrzBTz75JBE29fvRF8j3CyVwnEPkFKcgbvzqqxUMnmFaBdYiFqLmGhIuTh/iPKXPOY7jOHtDS48mjYUHOM8AGYSOr1awDBujSZkTiLgB65MilliECCH+JayE18hSrEqaSBFDlmF79dVXk75EjUrlvK4zzoP203lzHMdx9o6WWY4tjYQmFkkJEEKFANLXxz7iyLxD+hH1ZXuQ9cfAGZwG0mABMqqU5lPCIqCEo2lVlmQaFz/HcZzmpSWnVqSRCLHFsqNvkBVkrl69mnyyCSuRTzHRhMogGppMJYAss4bwEZb4cViLrFiDVck+okoYmktZjYav3yOkactQcWhfxx3HcZy9peUH0EAskgiQLEOaOdlizY2PjycCiYBh+THvkC9QvPnmm8nqMjj233rrrWSfEaj0NdJHiCBqwA3WInHEAhhvHcdxnOajJcVQFhwgQllClD6Of6xGhBHLkcEzOPY5Fh/XiFO2/Fa/opxQXyMuzhOkfzuO4zh7R1tYhiIWILaIH1tECwuR5lCsOvoM6QtkVCnfK4wdfYMacYo4IoSIHRYicWB1xiLrOI7jND9tI4axFYbgMSeQPkL2mQpBkynNo4gZx7H8aDZlYA19iji+boGjfxExpEkU4aN/kLD0LyKIsXUIEuHYOY7jOM1DSw+gkYUWH8caxPJD0Pi6PWKHsNHciUBqSTXCkE+cwhMfTucRPvUvMr2CQTSMNmV6BecAf7FTHHKO4zjO3tOSYhiLTHyO4wgewoelx6R7Bs6omRSrEGuP5k+tMENzqZpTOR8v1M28QkaOMuEeF69RquZSwuF0zaSl/LkYOo7jNActJYZCIiMhikEMETjmFPLVCgSP5k2mUdBUin+aSRFE/Mli5DhChtCpWZQwfLmCr15gFSKEiCAuFj0gPL/jYy6GjuM4zUHbiKGOMeAFq4/5hR9++GEieAga8wtZTQahQ8gQQKxEnMSQOLAMGSyDP+YX4hBRBFUCKJcWxHgf0r8dx3GcvaFtxBBhAg2OQQw/+OCDZG4glh2T5U+dOpUIoybaA3mlmZQt8cryk/UXC16cnvzqnLYxWcccx3Gc3adlR5PGwgT6jQBJxOR0Hug7lLVHU6iWY0MkcfQVcozz+KNpVMIZQzrpPLj4OY7jNCdtN7VCYqi+P7ZYfZpbqEn2aiLFksTRvCoX/2afZlTiUBoS2BgXQsdxnOalJZpJRfpS4t/sI0ikjeDdu3fPvvzyy2QCPecQRaw+1hdV36GaOSVksaCxL8sSf1iH8bE4jBzEeYqPO47jOHtHy4ph+rL0my0WHyJ47dq1RBRZWYZBNQgaa44yMpQm0HiKhKw9xcMx/KtZlX5G+XcxdBzH2V+0nBjKQSxAOP2maZOBM6wwwxSL7777LhFGLMbz588nYkifIEKH4EngQHHxG/FDBOlLZM4h1qT8x0IXC16ct9iP4ziOs3e0rBjGQqRjgtGhWIcIIpPvL1++bFeuXEm+S0hTKQKnSfiInsRNEBeCyjn8MgqVFWgYaKNBNYSJ8yHiYxJYx3EcZ29pyWZSbdMCJkgfQUTQWIHm1q1biYWIpah5hfjJiod9wvItQ/wifi+99JK98847duLEicRK1HJsxJElhsDx9DnHcRxnb2gp00TiIqGJBSf+LWsPC45pEvowL459LDymVSBqmlCPQ/hwTLpHSFm9hr5H9TkyIpURpnF6aRoddxzHcfaOlrIMBZeUFpxGl8k0Cq1DymR8plcgaliHWpOUuNjyGzjPIt9YlFwL/Yw/+9nPksE3WIeMRkVo5b8RLoqO4zjNQUuK4XYgLxI+NY/iuC26NViS8scW0Xz//feTqRnsI4A0kyKGfMGCwTSIIX7TxLfbxdBxHKc5aPsRHAidpkdotZmDBw8m1h2ihuO39nGcoxkVwWNEqYua4zjO/saHMwaw1rDiZB3Gjj5AtvQRxivSqAk1tvQcx3Gc/YmLYWArlp1EL0v83DJ0HMfZ37gYrtNI0HQ8Pi9B1DG3Dh3HcfY3LoYpELZY7OhTxLEfOxHvO47jOPsTF8N1YgFsJHBZx90qdBzH2f+4GKaQGEr4NM0C0sLnQug4jtMauBiuE4ughBCxk2vEdgQx7Xc7YR3HcZznR1uLYSOh0/GNxGqz82ka+U0fV7xyjuM4zvOnacVwq4IQ+3sal45DzaI6JytRxH4hy6JMI79xWLn08fTvRi4m61zWMcdxHCebphTDrVbeT1vJxyKB+MUCKAcSN7bxcW3TyE/sV+h32o+Oi6zf6WOgYzof+2t0zHEcx8mm6cQwq9KOK3ZcIwGTi8k6Bjq+kRhClrUnK1DnFE86Drk0jY5vFYWN41Cc8fWILP+O4zjOY/ZVn6Eq/I3cVsFvLBxpAUkTC2DaQRxH7LKIw2zFn7Yxcdg4fNbxrGOO4zjOY5paDGOxEVmVebqS30xs0sfTv2OyjkGctzi8nEj/FnHYeCt0XtuYdLobEce/mV/HcZx2Zd8MoNEWIZDT6jBaIUbofHpf8Jsw+Xz+keNjv3F8WSgcLo5T+xwnnjg+zsVO4TkvF6Nz6XBxWLmsY0oXJ9LxOI7jOE/SlGKYFkBQJZ6u2HUc8E9Tpb42gdNXJvjihJy+RJHlFIZt/JWKOD62fLVCzaLsN/riRRwuHVecHk55k4vDyMXnFT5OM85XTPpeOY7jOI9puo/7kp2sinwjVPmzTYuSzsVxNIqv0a3AP+eIjy1fxv/www+Tj/tOTU0l3ze8ePGivfDCC3b8+PFHX7rXdRJGTmlrq+PAsdiiS5+LHcTnQZZh2sVhtHUcx3Ee05RiGG8hrsg5HvvB6Thitby8bKVSKdnKapKfmPi34otJ+yfPimthYcE+/vhj+/bbb5Mv3fPx3wsXLjz6yv2BAwcSMRSE0TUrr6AtIsbxrHPa6jwuSzBxCB8fKsaRfvzxYYVh33Ecx3mSphVDiAVEThU/57RPRc8WEUScsNYWFxcfNSviNxaBeF9x4CBOS47wOInh0tJSYhVeu3YtsRL5Ov6LL76YWITDw8OPvoIvq4ww8bUoPeULfxIrjikvMcpLLJwQN4sign19fdbf35/kgS/3FwqFJ8IonOM4jvOYphNDUJbYal8VefocjvgQwvHxcbt161YiUvPz84l44dLpxYJAeAmKHOcRKKwqtvE5QGTv3r1rDx8+TIQR4cMaRIhwPT09iQjJKgPFq99x3nH6LT8SyNh/Wgg5Flu/iN+JEyeSploclirCCAqnsI7jOM5jmlIMgWwpa9pmVeQIGU2i09PTiRB+9dVX9vnnnyeWIYISx5OG+BCSeIAK8REOMUPUEDoJlmCf+BFCNcdyDMuMcDg1U8riIw+kF//GkaasWEBACU9c7ONfftPhyTsvAQy8YR8BfO211+yll15KLFW2WIjkjbByjuM4zpOs1axNhCp+SFfc8XGd4xiCRPMoluHY2Jjdu3fPJicnE6FAJCBLBDiG+CFGExMT9uDBg8TaIyyWJSKnNAH/iBFTJxAZmkWxCBEt+hFnZmaSZlPiQ6CIOw4vOIZASchJe3R0NMk7oo7ISpghzrvCkjc1C3PdhCee9DXLOY7jOI1pOsswPqdKnCwqm7KMAL+IBiJ2+/Ztu3LlSmIZ4hCrM2fOJH14WGhC8RA3FiBicv/+/URAESKODwwMJANhNCAGCKf8sEUQER3CX79+PUmb+EiPPkSEkoE1WHlxnglLXAgd4RGwS5cuJf2c+Dt27Fhi4REPTZzkXWG05boRW4QXEeT6CX/u3Dn767/+68Q6xDJkdCtxkFacd8dxHOdJmkoMVdErS4iDBCB9DH84rCiaR69evWo3btxI+gvpz0MY3nnnHTt9+nQijBBfKnEgaAgJYsTIUCwzxAcBREheeeUVO3XqVJKmwhIOxzGsOsJ/+umnyehSwiKghCFd+u96e3sTkSSMQJwQM9ydO3fsgw8+SEQNC/Pll19O0iUPCCJ9kKQFxEE+sAqxXLEIuV6uGzHnmn/7298mcZC2xDh93Y7jOM6TNF0zKUhwGlXcVO44RAVhwCpCyLDSEJSzZ88mlhGWIcKEQCEO2mJ5HTlyJBEbxApRBMJimSEq58+fTwRR4WMnyw3x02oziA4WIfETFocgKgzHlQeEDuuT6+MaCMvgl6NHjyZ5p6+PrQQ1Do8fmmbpU+TaiQPrjzxxHouUuCTCIhZEx3Ec50maTgyzhFDiFzusQvWb0cdHXx/9dlhSWFaIEaKDMGiUpxxCgfARHssSh5WGeCCSiCgChLAgNDiFY8vAGkSM9BBgwhIfaRFeosXvOKwcAkoYLDsc14M4EhbxxSnvCq90SQdIlxcA+icRRokmQkkYNc/qfkG87ziO4zymqcQQAVQzqMQwq/LmGEJGMyWCRF8fDoFBCLDsEDSaCREZBAghkRghFMSPCNLcSDyIK8cRIUQFSwtLTyKkOHCyygirKRycR4gQNKxLhJS0FV6ONIA0EUL6DMmLhJSwCClpK+9ypItgS4h5CSAe4pXlqKZViaYE0EXQcRynMU3bTApxJa5jbBEuRADrCEFhFKcsO0RFTZEIIwKCJYY44NgnDomRBAV/CAkihmMfkcG/mkJxsrYQQYSMJlryQxjSRIDJA4KktOUUlkE/GvxCHPgjnJpAyTdpK7zSBoRX184LAKKMUCKECKmuWf2MWffPcRzHeZKmFEMRiyGoIpdlRNMoA1AQFkSDgTKIiqwyBITwiJXCso8YISYMvGEkKb8JizUoa1LNjKRFGBxCJIsUESMsgkrc6tfDoqMvUcIXO+LSdAiFR0wRM40iJW3lNR0WwVfTLI4mUvwShrSxLBFRCSF5BsWnreM4jvMkTSmGsQjESBQQFESEEZRMqUAk1MyIEKrPDIGMBYCwCBniKTHCukI8CEvTKpYZgoIVGYdFWBBCxIi0sSixSIkP8UPIZI0qXTkg7/glHAJKujTTkjZ5J98IMWnH6QK/SZ+0yTd9hVimhMU/4bFklbaEGLRNx+k4juM8pqktQ4gFkX2sODVRIoZMo+A4YqaBJwihmjRxEoJYzAgfL6eGmDGCE8uO8LGIAWKE6CJiiBFxIG6AZYZlh5hh5UmMiEOO36SlyfVYdviLrVkEjSZOpQlx+og4UzkQcV4IED/yixjqBUDNqULX4TiO4zSm6cQwSwgEgoAAIYaIEcKAo8Knv00jQGUdSRAlCBr0gqDJskNc6d8jLFMpEBasQsLFkBfEkDCkqbCkRRgNelETKUgIgbwjhsozoox4IYQ4wiKMiCGQXnz9WLUIKGERVPKCeBJW/ZtxvtP3znEcx2lMU1uGsZhQuavfDKsIUUTcOI9lhkWovsJYjGLwT1j62giPP4QQMVEzJZadmjlJExEDtrGYkhf80qwqMdOgGYUVhMUhnlh3iCJ+CEtfH1vyjZDKslPelQf6K5V3tggpAoxFTP75zfWkr9lxHMfZnKYTQyrztBMSFEQJKwgBommUJkr2aSqUGEmA5CSmhEdY8IcQ0U+IqGCVEafEiDD4T4dHRNVESdpM46CJVZaZrFGQkCkuOfwhYDTLMh8SMYwtSsF1EAf5Jd/Eg1CTNiLIpHyunbgk4HIujI7jOFunqS3DNKrkETKaJhEzxIQtvxEkRCEGMYE4LBYd1hxiRNMoYohVFwuKiMNzHtHCiiMMYoQjLuLNEiCFB0SQfCJkNMuSPoLKMYl4FopDlijXSzi2WLTkPbYoFU+8H+fDcRzHeZLcPwfW93eNzSpmzstBXKFjJbFFWBABLEKJQtzEqTCg37L0EC2EE4sKYVJTI0IXp6X08c++LDvSQADjeYXEhz+I0wbFo7xjhZJf0mWr8Aia0k3HQb4JT9pYhliEOOLiurkfWWIcw7mNzjuO47QrTfk9Q85LFHASGfZppqTfUMIECImEUH4hvjREgKZGwqupFAhDfxsOQQGFU/qEZUs4+vuIg3BYc2zVNKqtBCeOh2tS+uQbf4QlTdImrNJRmgqLI7/qK2VfFi5xxHkQhBGKS1vHcRznSZpODFX54+QvFhiO4aj8YwHIuoyNjhGfwhKf0kzDsVhM5IewOH4jTjjFKf/yqy35RbgEx0lb8eo3W+UtDX7T8QsdF8QFcZ4cx3GcH9J0n3CS0++48mcbi0V8rhGKazOUbhyfwsbpg/zpN3nSNaX9QhyP8q30FJfIOiY4DvG5tD/9xi8WKL9dDB3HcTam6SxDnUsLQry/0bk0G11efE776XSAYxulAel0FIbj8blG8cek49qIOJ04Hgk0x1wMHcdxNqZpm0khqwJPH0uLQJr05cV+dS72o/NZx7LSSccfs1FcWcdgo/iyyMoTEI/us4uh4zjOxjTlABplaTcq8PTlk2bWLdlvYhJfgwuh4zjOxjSlGDqO4zjObpI9ZNFxHMdx2ggXQ8dxHKftcTF0HMdx2h4XQ8dxHKft2ZMBNHuQpOM4juM0ZE/E0HEcx3GaCW8mdRzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdoeF0PHcRyn7XExdBzHcdocs/8fknahocE+q9YAAAAASUVORK5CYII=)
Two identical springs are attached at the opposite ends of a rod having length
and mass
. The rod could rotate about its mid-point O as shown in figure. Now, if the point
of the rod is pressed slightly and released, the rod starts executing oscillatory motion. The periodic time of this motion is………
![](data:image/png;base64,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)
physics-General
physics-
As shown in figure (A) and (B) , a body of mass
is attached at the ends of the spring system, All springs have the same spring constaut k. Now when both systems oscillates along vertical diroction, the ratio of their periodic time is…….
![](data:image/png;base64,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)
As shown in figure (A) and (B) , a body of mass
is attached at the ends of the spring system, All springs have the same spring constaut k. Now when both systems oscillates along vertical diroction, the ratio of their periodic time is…….
![](data:image/png;base64,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)
physics-General
physics-
A mass
on an inclined smooth surface is attached to two springs as shown in figure. The other ends of both springs are attached to rigid surface. If the force constant of both spring is
, then the periodic time of oscillation for the system is .
![](data:image/png;base64,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)
A mass
on an inclined smooth surface is attached to two springs as shown in figure. The other ends of both springs are attached to rigid surface. If the force constant of both spring is
, then the periodic time of oscillation for the system is .
![](data:image/png;base64,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)
physics-General
physics
The distance of the moon and earth is D the mass of earth is 81 times the mass of moon. At what distance from the center of the earth, the gravitational force will be zero
The distance of the moon and earth is D the mass of earth is 81 times the mass of moon. At what distance from the center of the earth, the gravitational force will be zero
physicsGeneral
physics
Two particle of equal mass go round a circle of radius r. Under the action of their mutual gravitational force. The speed of each particle is …….
Two particle of equal mass go round a circle of radius r. Under the action of their mutual gravitational force. The speed of each particle is …….
physicsGeneral
biology
Match the column
</span
Match the column
</span
biologyGeneral
physics
The earth (mass=
kg) revolves around the sun with angular velocity
rad/sec sec in a circular orbit of radius 1.5
km. The force exerted by the sun on the earth is...N
The earth (mass=
kg) revolves around the sun with angular velocity
rad/sec sec in a circular orbit of radius 1.5
km. The force exerted by the sun on the earth is...N
physicsGeneral
physics-
The figure shows elliptical orbit of a planet
about the sun
. the shaded area SCD is twice, the saded area SAB. If
is the time tor the planet to move trom
' and
and
is the time to move from A to B then
![](data:image/png;base64,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)
The figure shows elliptical orbit of a planet
about the sun
. the shaded area SCD is twice, the saded area SAB. If
is the time tor the planet to move trom
' and
and
is the time to move from A to B then
![](data:image/png;base64,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)
physics-General
physics
correct form of gravitational law is
correct form of gravitational law is
physicsGeneral
physics
A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddennly disappears, the satellite will
A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddennly disappears, the satellite will
physicsGeneral
physics
Two sphere of mass
and
are situated in air and the gravitational force between them is F. The space around the masses is now filled with liquid of specific gravity 3. The gravitational force will now be
Two sphere of mass
and
are situated in air and the gravitational force between them is F. The space around the masses is now filled with liquid of specific gravity 3. The gravitational force will now be
physicsGeneral
physics
The atmosphere is held to the earth by
The atmosphere is held to the earth by
physicsGeneral
physics-
The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.
![](data:image/png;base64,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)
The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.
![](data:image/png;base64,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)
physics-General
physics-
A sphere of mass M and Radius R2 has a concentric cavity of Radius R1 as shown in figure. The force
exerted by the shpere on a particle of mass
located at a distance
from the center of shhere varies as ![left parenthesis 0 less or equal than 1 less or equal than infinity right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
A sphere of mass M and Radius R2 has a concentric cavity of Radius R1 as shown in figure. The force
exerted by the shpere on a particle of mass
located at a distance
from the center of shhere varies as ![left parenthesis 0 less or equal than 1 less or equal than infinity right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General