Question
A block of mass
is resting on a rough inclined plane of inclination 30° as shown in fignre. The coefficient of friction between the block and the plane is =0.5. What minimam force
shald be applied perpendicular to the plane of block does not slip on the plane ? ![open parentheses g equals 10 text end text m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
- acm
- 6.24 N
- 2.68 N
- 4.3 N
The correct answer is: 2.68 N
Related Questions to study
Three blocks having equal mass of
are hanging on a string passing over a pulley as shown in figure. whal will be the tension prodoced in a string connccting the blocks B and C.
![](data:image/png;base64,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)
Three blocks having equal mass of
are hanging on a string passing over a pulley as shown in figure. whal will be the tension prodoced in a string connccting the blocks B and C.
![](data:image/png;base64,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)
A bag of sand of mass m is suspended hy rope. A bullet of mass m/30 is fired at it with a velocity v and gets embedded into it . The velocity of the bag finally is
A bag of sand of mass m is suspended hy rope. A bullet of mass m/30 is fired at it with a velocity v and gets embedded into it . The velocity of the bag finally is
Three blocks A,B, and C of equal mass
are placed one over the other, one on a smooth horizontal ground as shown in figure. Cefixime of friction between any two blocks of A,B and
is 0.5. What would he the maximum value of mass of block D so that the blocks A,B and C move without slipping over each other '?
![](data:image/png;base64,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)
Three blocks A,B, and C of equal mass
are placed one over the other, one on a smooth horizontal ground as shown in figure. Cefixime of friction between any two blocks of A,B and
is 0.5. What would he the maximum value of mass of block D so that the blocks A,B and C move without slipping over each other '?
![](data:image/png;base64,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)
body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is if the body is pulled by a force P as shown in figure the limiting function between body and surface will be
![](data:image/png;base64,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)
body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is if the body is pulled by a force P as shown in figure the limiting function between body and surface will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZwAAAEiCAYAAADNgWQ8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFeJSURBVHhe7b0JV5VZnu65BZkEZJJZQeZRUXDAiDBCY8hbVavWzay77u3uj9MfqLs617q3MutmzGo4K4MggigKKAoKyODAZO/f//AahBmaDpz3HOD5ZZ0CD4chc++zn/+8t730OCGEECLKJKx+FEIIIaKKBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKEhwhBBChIIERwghRChIcIQQQoSCBEcIIUQoSHCEEEKEggRHCCFEKGx76Vn9XGxgWMbl5WW3srLilpaW3LZt29z27dvto5ZYCBFNOGd4JCQk2Mc3IcHZBCwuLrqZmRk3MTHhxh+O+4/jXnSWXVpa2uria4mFEB/LtlWDdtGtLK/4U+WlS9iW4FJSUtzOrJ2usLDQFZeUuPT0dJeYmPi7wiPB2QRMTU25kZERN3hz0N26dcuN3B12yyvLLjs72yUkJsjDEUJ8PP4Ywbidn593iwsLZsYmeFHJyMgwoWlsanQHW1tdbm6uS0pKkuBsNli65y9euJHhYdfb0+OuXevxonPTPXzwwCUnJ7vi4hKXuD1RgiOE+Cg4Q3g8e/rUIinPnj2zfyMqmZmZbm/FXtd+7Jg7+eWXrqCg4FU4/3UkOBuYBW9ljI+Puxt9fa7j6lV348YNN3Z/zHI4WBll5WVmaeAGG1ppIcS7sqoXSAQh+gVv3E5OTbphb+A+nX9qgsLZgodTUVnhPv/iC/ev//qvbld+vn1NgrNJYMlYzMnJSRObzs5O13Ptmnk2KysvXWFhkdtTttvt3r3Hezrb3fLyquAIIcR7wDmDAfvUezaPHz929+7dczdv3vSezjOLohBiS01N9cZtuTtx4oT705/+5HZmZ61+998jwdmABNVod4aG3N/+999cd1eXeTok6yoqK92Ro0fc3r17zfIgeffKwxFCiHdkWwJeSoL3ZubdA2/M9lzrMcO2f6DfvfSGbU5urgnOdn/GFBUXuy+8h/Nv/+3fXGpa2upP+HskOBsMxMOsjUeP3LXua+4v//EfVjBApUhtXZ07dPiwO/75cZfv3VohhPhYHvmzhoKkX86c8WdOt+Vwkrx3Q9j++fPn5gVx3nx2/Lj745/+aGH8N6HGzw3Gkrcopqem3Llz59wPP3xvYkP5c0Njo2tta3UNDQ3m6QghxMeAcTv+8KEb6B9w3V3dFr6fnp52e8r2uIqKvVYswNmT6o3dtNRUl5z8+5Vpa5HgbBBwRPFsHjx46G4O3HRdnZ3u1uCgVYPs3r3b1dXXuerqaldcXGTejhBCfDAvnTdsp92dO3dc/40b7ubNAWu/wJht9MZtVVW127Fjh50/PFLTEJzk1W9+MxKcDQIVaY8fPfZiM+A6Ojrc0O0h/9yiJesamhpdZVWVKywqsg1Bt68QQnwIGLezc7NubGzMjFuKBB74z5O9Ibu3osK1tBywqjQEBo8mITHRCgcwdOXhbAJIzFGRRjnigBccPBvq4HNyclx1TbWrqalxpaWlLmvnTout/qNFF0KIN4FxS3sFQsNZ8/Ah1a8rbvfuUmvurKqucnl5u+yc4XkM3BQLqcnD2fBQkUbc9P69++727VtWmUYSjwq0yspKExu8HBJ4b6sOEUKIt4F4YNxy3ty+fdsN9PdbGTT9N9k52VaURK6YPpukpO322hV/PiV6wUlN8YLzDqF8CU6cQxXI2NgDN3hrMDJFwFsbxFdxbfcfOGCiU+A3APFUhdKEEB8CYbTl5SX35MkTNzoy6vp6ey18z4zGjIxMV11d4/bt2+eq/HmDZzM//9RyyvTo0HqRkprikt9SnRagEyqOeeEtC/I2Q97aIJZKRRqjbPLy81xTc5Pb37LfFRUVux2rw/KEEOJDwLt5/vyFhe07Ozvcjf4b1ugZ9PY1NTVZb19a2g73aOKR5XRmZ2ctAsP4rJTk5DfOT1uLBCeOwdq4e/euVYkQSyWPwwaoqa11Ld67qa+vtymt8myEEB8K3s3CYmTiPI2dp0+dsuo0hIRipAMHD7p9+/e7rOxsN/1k2kZocR7N+tfzvYTSUlPT3tp/E6CTKt54GdkAhNLuDN1xnR0dbtAv7py3JnJzckxkWltbXUlJyeo3CCHEh0No7N7IqM1jZGoJeZvMzJ2WH+a8KS8vcxmZGVaoxKDgjitXrKCAidE7d+50xcXFrqi4yGVlZcnD2UggNMRE52bnrCSxr++66+7utqkCNFhVVVe7A96zaWputqYrIYT4GAjbU4REgcDF8xfc7Vu33Tb/nyrv2RBFqamtsWtOMIDvjY66G3033DXvBTHqJm3HDldSWuoqKirs407/un+EBCeOiMRRn7uRkWF37uxZ19XZZWKDFUFTZ1NTsyvfW2HlzzRbCSHEh8JZ8/DhQxtb03+j38JoeCjkaurqai2ctmvXLnstg4HxfsjvjE9MWN4Y74cmUK4myPFiQ9GAPJwNAsk3XFtu68RdvXL5ihsdGTFhKd2920oS8XC4a+JdYqVCCPEmOG+st+/uXat+vTt81y5Wo72C8VjVNTWu0J81NHUyYYBG897e65ZT5vzZs2ePq2/kddWueLVw6V1yyRKcOAFrY8J7MzcHB21hKUlcXFzwYlPqqr1bW8XClpRYLNWbEavfJYQQ7wdiMzM76+6N3nO3Bm/ZLcGTjx9b2J6KtH0tLa68vNz+/WR62sSmr6/PPKBnz5678rIy19jUZKJkobSsrHeOuEhw4gBrtvJWxOjwsOvzYkMFCNZGTm6eq/NuK+E0W9idmQqlCSE+CpvJODbmhoZum5hwtQlXBjCtxM4bLyRUpNGCQZl0f/8NE6X5OX8m5eS45n37rEyaYgFyye9SDh0gwYkxFAnMPHlikwSIpVJyyPhvrAZCaBQIEFOlQk2hNCHEhxIUJRFKw6jlvBm9N+pevHjucnNzLERW31BvA4CXV1ZMlBilNXDzponSjvQdZvy2HGhxtRQT+DPqXZo91yLBiTGUGg4Pj7jrvb2u7/p1q/5gEB5NnS3etTWxYWyNf+5drQghhHgdQmnPnj213HDH1Q4zbomsUIXGyJqj7e2Wk6GJ/O7QkA0J7u3pceMPx210Da/hvq1yfyZlewPYhnW+Zw+gBCeGUJWG5UCRAFbE/fv3rQ+HvE1bW5tZG1SJUH4osRFCfCiIDZMB6O3ru95nngv5GZL9VKNFrhyocinJKXYm8Zq+3j738MFDl+DPnpLSEtfc3GyhNAxgQvvvKzYgwYkRbAAarPr7+92Nvuvuvv+c57jcaP++/Ta3iOZOGwG++j1CCPG+YNjSb4NB+9OPP7nz585Z5VmeN2b379/vDnuvhVAZITeGA1+6dMld67lmcxuZkVa+t9w172u2MFphYeFHhfYlOCHDogITWblJ74a3JGioYrREbl6e1bbj2XC3jQZyCiE+BvNsZmYt+U/Inkbyh96DYSQWd9pwcWNZWZnlZ6YmJ80A7u7stJwyeZyCgkITI9oyOJO4aO1jziSdZiGC2FCRRpEAItPjrQjCabOzc25nZqZNfsaSoDQxuLVToTQhxIfy7Okza+7svdbjOjs6bYIJURPG1hBGo/wZw5bpJpQ9k0tmUHBw3xZnUm1tneWS12O6iQQnRKgQmZ+LLGyvX9hBv7Ak7RjIucdbGbW1tZaQy/OejqY/CyE+FIxbyp/Jx1D6fKOvz5o8OVcI1dd5j4WRNORjMIIJt133HhCVa1SxIS6IDHmdPeVldiatx9X1EpwQIIi2RIWITRKYsIU119ZbHrinbAAsjqqaKpdvlxup/FmsLxxA7/sQGxdu7WRGGpMBBgdv2sc5b+wWFRaaYYuQcNZw/jx69NjdunXbCgWokmVK9B6bblJr924x3YQq2fVAghMCL5mR5l3U4JpoJkD3dF8zy4K4aH1DpP6dcRHrtbBCBJA0XlpessQxEy14vFjzCJ6z5/1ryCcS++f7xMYDY4GKNCY73+zvt9E1U6sVaY3NTW7f/n3WSM519E+ezLy6AoWp9AtMN/Ffa2hssBE3VMymp2es/uSPR4ITAggLVSFc24pnw6A8igaKS4ptUbnfJjJJIEtFAmLdwdqdfTJr4ZWx+/dtECPe9bh/8JF/0+THx/GJcQvzEo6Rl7MxsWnz98csPMaEANaYqAnFAZQ2E01hIDCTA4K8TWSSgPeAvAF8sLXVMXGAUVqE1hIT1+9M2uY3lXZVlEFssCAunL/gzp8/7+76RSYh98d/+5M7dOiQ5W8YJfG+XbtCvAsYNxPjExYuofHvd40afwxsS0y0hHKGt4TZn/kFBZZQVuHKxgGvlCsGrnnDlvJmBAUvlnxN66E2d+LkSStt5rI1ptFfvHDBXb1yxW73ZLrJl1995b75wzcWRiO3bP0267j+EpwoQxiNDcBY767OTu/lDNmbmPLnr7/52pJ3Obm565KQE+L3wFuZnpo2D+fRowmL2dNjEZmNlW1d4xkZGS7RHy4ry0wtf+YPGWcXatF4jPDwOcMc1/sAEusDxzhiQ2nzeW/YIiK3bg1aiJQ1PHz4iGs7fMjOHSrQuNPm0sVLdsMnHhDrz7X1n372mWtta3M7/FpTYLDea634TRRhscnZUCTAxUUTE4/MamAW0SeffmIlibi2Gsgpogl5wWwvLFi2mRk73dP5eZsS3NXVadVJCwsvXJp/Tbp5MwlucmrSPPIzp0+7s7/8YiEXGpMZKKu8TvyB2BC2x7gdGuIagR7Lx1ASTRUaIkPehqoz1g+vh+tPrvdeN8+GsBmvYbQNxQSp3viNhtiABCdKYEWMjoxacyeD8lhYwhWITFNj4yvPhvvAlbcR0YT9RQwfL3r79kQ7dBAPPByez83Ns3h9aeluK1ypq62zz0k8MwKFIhfG0yM6HGwivgjaLSgOuHjxgn0kdEoVWl1dvQ0AphL25cpL+1p3Z5cb9Os6O/PEPBvCbTSABmXS7IloebE66aIAb2hi5jRQITbEznku37u2VpJYXW2jvfF2omVJCLGWxIRE22tcqAXL/pCiEo0wGYYPh1NRUaHNzMIYohwWb4d9TEIZy5mQnAQnfsCzoSCEfEzQR9Pdfc1ydghJecVeO28oFsDYfTTxyPVc67GJA7RnEFnhHLKWjNUy6Wjn7CQ46wgWRLABrPrjeq+F1PB2uBaaCQJMXC0pKbWBnIqHi9Bgm/m9Fvng/79/4Pmkpqa5zPQMC+1mZGaahYvo8ODwoUSaUA0eOh4PIiXiA4xYwqNUGBKyJ0Q2MjzixSXFlZdzTXSdzUEjZDbzZMZyOhQTcDaxjuR2mCRQU1frdnvPFgM42ueRBGedCOKoiM3IyKjd2MnYGsbYEEMnVFHDzZ3VVRZPFyJs7ChZPVCCY4WP2xK8EK2GdRO8V2Mf/b+xipOSVo0iv79VXxQ/sBb0TdHcGbRb0HdDz9/u3buttw8vlWIPXofhy7QBPFUaQLmSoKy8zM6jsj1lZmjgAUcbCc46QRz16bOnjnHeuKx9N25YzwNvXC40QmwYgocLqyIBETNe04yFpUW72ZECl6XFJTuMHvtD7NHEhLeClyzkxuFE2T4ej/KN8QHrRUUaQsLATYo8yMtRGNLQUG8PPme5Cen33eizM+kRueSUZPN8CKWRt9mVv8uMizDQ7lkHzLtZWHRPvDdz8+aA++mHH9z1nh4TIeKn+1taLHFX5MVGiHgAr4V9+3Ru3ho9eUxNT1mJ7OXLl90vZ36xxsGFFws2MRgPvcAfYBq7FB9w1pBbo9UCz4W1K/KG7dFj7XYFNGcNxgGhUNbxWle35ZNhj/doDhw86OobG+11YbZkSHDWAVxWFnbIu7aUkPLA2qAypLa+ztG1G8RIhYgHAsF5sbBgXs3U5JQlkh88fGD3NNGszCgUq1qzQY+V1o8j7zz2MJORWzupgEVMOHsy0jOsQKC1rTVSJOANA56nBxDvZ9i/Hq+Ir3GJGq/lfAojb7MWCc5HwpuWNycD8s6fO++urc5IIzb66fHPzLPBtdUbVcQjCYkJlkBm1hbJZ8JphNCOHD3q/o//6/90/+1//Hf3yWef2n6m8CWMOL94Mxiy9NgwbZ48MRVpmRmZds4QSdm7t8IKknieUnZK2gm5LfkziZzOyRMnbW3z8na5pO3he6sSnI+AkBlWIYk45qPhsrIhSr1V2NjYZAM5GYQXmUekN6qIHzCUsGyTk5KtUo1cTVraDiunpSenurbGbp1l1h9JaEbdUPyiHE5sYL0wDJh3R0Uang0FAxiyzGFkRhrtFlQbMlWCcFv/jT4rJCACQ7iN1zQ0NZjXiveKsRE22j0fARVpVIhQJEBFGnFVkquMhmhmImtxiW0AEnJ6o4p4gmQygkNXeXZWlg1t5CDCQuYjY+zxdCgUiDSMbtcejhGIDaIxMT5u5w39NjThYvDmF+RbQRJFAsw/oy0Dsenu6rZw2tz8nBkLTU3N7sDBA5az2ZGRbtWHsVhP7aAPgA1A/TtVaDR3srDES5kawCSBFu/aUpHGjCre0HqjirBYXuYqgmXbo79LEK5f/Toj6onjcyhxYBUWFdplWxhKCI0ak2MLvTaICCGyAX/WYNxSmfbixXNrr6isrLJqs0IvJHhAXDXAa4i2cLV0+o50u9SRaAtnEmXSSTE0HnQSfgAk3yg1RGhue2uCDmwWGyuRqwa4uIjyZ8IUDEQUYt3wOoGY8OAw4sHeI0ZPRdmL58/8xxf2/OsE32eP1ecSvJhsT0qyu+opl0V82LfRHG8i3g3WiXwwDbdMEmDQJvmYmZknFhKjAADvhoIkoiiE23jNgH8NoX6es8Ilfx4xSYDzKdb3bUlw3gOaqtgEbABCaFgSxEh5g+fm5jjmEeHarh1bI8R6gYhwkRol+IRYns4/NSsW63dyaspNTj62sC7eN+EW9mqACdPKsokTj2AvL/qfx/BOrGhY+z0itrCGzLsbfzhuhi0FAHeG7piQUNpc39BoQoLXwh6gkODSxYtueGTY1pFcHBWy5OG46DHFi02sjQgJzrvCm9NvAN7Qo6Ojrren16pFKClNz0i3Sazcksf4GuLeIAtRrCcrKy/d82fPrSqS0mX2Hx3m3GnCVOeLFy5aAcuTmZnfzDzj8EFQuKZgbm7W9ixeOq95Mv3EritgfA0FL68LlYgdGBU04FIk0NnZ5Ybu3LE9QIl6Y1OThci4w4b1pGKNClmKCVhXmjkRIzwgPCFCpPGABOcdWfYWoU2A9mKDZ9Pb02NuLjFwrA1mpDHimwF4Qqw3Zu3Oz1llErOwCJ2cP3/Off/tt+7P/9+f3b//P/+v+8+//tWqJee8B87rA/gcoWKe1rQXGDx0DiWEBct4bGzMHnwePC9iC14o60VO5vLlS3a/DQYDM+4OHT7sWg4csBuDmRJBIQGXrVFMgEGcl5tnvVN1DfVWCp2blxc30RZdwPYOEI6Y864tfQqM/75y+bLjPpHUtDRrouJ+G+rgKRgIa0SE2HywzzBq8DTs4S3X4HOuDUYoqIyc9ofKk+kpE4gn/lDideRcKMH/+ptv7KKt3Jwc68eAF89f2EFkV0z7PXzv3qjt5WdehCgS2F2625Xu3m0VT0FlmvrGYgdiwzrRsNnZ0emueLHB0NhTtsfE5vhnx623b2lp0YyPzs5O824xgCn0aG9v9687ZPlk8jbk5OIFCc4/gMXHsiCOSt7mO29R4t2kpKSau9p+rN1Eh2uiWVhVpIm3wdvt9Qd7jJAXwvLEiwgJXw4Ye/jPqYCkt4LQCRYtXgjfQ6EAYVv2HXlDBjZ+/YdvbD/yfBDSxbtBrBAofsfC4oL9vpWVZevD4fvJOfIgGc1HCU7sIGTa3dVlQkLonnFDmTsz3eeff2GlzYTIWHsEhrOoxz/6+wfM6GD68/EvPnf79++3qsN4m38nwfkHYHFS/kx1CHeAM2eKQ2GfX9AD3q2l34YNwLRViY14G7zVGCWDR8IewluZ9Z+T5Dcvxn9OOMyen4l8jLxm1goEiOkHORbetBw6HCg0/pEYPnjwoGs71GbJ4rUERQbsZft+/rMqdohSot+3VKrhnQcPFbzEBgZy3rp123s1ly08itikpCRb+fOJL0+6isoKtz0h0XJ4hPa5Kpoy6Xm/P6prqt1h7wExS41eKrs2PM7WUYLzFrACsTZvIjZd3RY3pxw6c+dOd+LECYujMuIbsYnWADyWh78Dq5aPWLa/V/IqYovdNIND4deLUnj2AxYnnkLwpmct8ZZJ0N8bHbVDg9AWngwhL0QHYaC8mbUmsc/HYP0DsQngcy5PQ2yYodXW1mYxew6atawsr5ZO++9febnyG+8n+HkmPP7vxGjiY/B1ER6EPgcG+k1EKABAbFgfQvVcEU04jakl4/557r7hPBq8dctmq+Xk5rjDR464Y8eOmcFBkUA8DlqV4LwBDnUbW8NdE969peSQK6N5M9fW1Xn39rirrq21mDeHS7S8Gw4aYu/8LVNT035TPo8Ijl82HQqxx948q28h3kor/pGRkW7hDMSAN34Q1ghyNITI6Abnul8a9NhXE48mLPSFMAQ/ix++1hsJ4HPWHk+EvM2B1oN22BBGYT/+Xjhs7fe/De2p8GFfYFQ8fvTYcsREUkZGRuz5gsICayRnzBDG7Yz3fJn83OXPJKoUuW+LNW9sarQZaewBcnfxajRIcN4A1iZJOyyNnp5r7v69+7YBKA5oO3TINTY2WOKO6QLREhsOHyxf/o7BwVtmEWPNiNgTvJV5+1DBaB4Ij+Ult8vukq9zlVVVNoeMzn2sTV7L6wiTYcgQpu273mfiQzz+uRcjMyY8HBbBgfH6R16DqHBleVVNjYXRGDfPBOB4tGrFmzGx8Z4s99QM3R6y8na8nIWFSGkz+6i1tdVyM1ySx2STM6dO2d4h18MtrbWWSz5mVbLk8oLL9OIRCc7v8Oz5M7tI7cJ5b23QbHXnjh0WlCSeOHHSBAerwoYZRnEAHgcTY8g7Vie+Phh74EVoKWrhO/H+YBQ8f/7C7pNhvQiJ0d1NpRiWqV1N4UVnbYc3oTKqkO74A4Z1pRiFPUaoDQ+Ipsy3we8k0c9hZLnEgwfM66YiSWwcOFPwbGb9vhkYGLBem86rV20fcBUE67u/Zb+NpeH6AXI1ly5ecqe94OAlMx2itrbOQqntnxyzK6PjvdhDgvM7EOKg7h33Fqtjxb/BKRtt8W9s3FYarvBqAoszWpAUpHMYz4amU0SOZCAHGL87sIZFuPCGYSQMYYtnXmAmxics7IonymFBKI0QCAUlCM4ev15rS1NZN0SHPgvCpXe92CA8GBZ3hoZMUN72tqQIICMzw/KIx/xB09DUZN52rMeWiPeDdaZ6kKKkUz+fcj///LMVDTDXrtV7rQwBbmxosLwNueO//e1bd5lJAl54srKzzMiwQcHNzXZz50YwRCU4a+AgwEKlz+bnn362mUQkeXkzY0kebfdiU1NjGyBasBxsRH4vlsyF8+dN3EgENjY2WoMployID/BI8E5+OX3GXevutlAseb6y8nLrgwg6vYPpE6+DeNjIeS9W3373reu42vFqNM3vgaGB0NE/80//9E/u2KefWOc5pcxi48BZQ4UiYsMkgR+//96aN/O8sUKV2WefH7fydjwdQmddHZ3uz3/+s+X9aDYnfEavDYJDUUE0z6T1RHW8q/AGx00lps5obxJyuLtMDqj1i0uPA702bzo41guauahcunThosVrFxeXbA5ScP/4RtlYmx2sNPbLjRvsly7rCMdrYfw7xgG5FDzjxcWFt3orSclJLjNrpzVdcp0FxQYcKBQf8H1rv5fPERx+R3PzPtuPWTuzlLfZgLBXqDYjikHe5rb3bPGCERvyMXgvqTvS3H1/Flz2QnTu3DmrbMSLIdTG62pqal/12mwUJDieIJFLZQjNVsRT+TcVRpSZkpSjQoSQFtZltGAT0uCHxUwVCgUDJA6xkAnpMaJC+ZvYgwTQR0No49bgbRt3xKHPOgWXlSVsS3CL3njAg3lTTgYBwZNlnhn7DU+WQYwUA+T4vfZ69SOfI0bkiHS538aFNSdERu4Oz5b3OyFa+mgQEi5Sw2Odm5lzQ7ci998wI4/IR0FhoYVpMUA34vpvecHBs6HhjrAG7mpnZ4ddbsQ9NsxIYwI0FSIcAtFMyNEQiMBQrcTmwmLm91F5hOjhaUlsYg8iwUwz8jbDd+6a1clEX4SGSrHikmJL5tLvEvTO4K38HoTjKE5hve/4n0U4F6MGTxbvhX4vGjIDzwax4YDhd5FHLCgo9FZxfHWSi7dDKI2+K4ZsXu/ttbWn1aF0d6mVthNJwWCh0ReDhrA+E6LJ9VDtWF1VZR4OYbTcvOj1/0WLLb1TzcKcn7fELaWpLO6wP+gpc7U3tbc4iI+Tw0l/rZluPQmShzR63bp9yw4heiyoOmIKNb9flmx8gICMP4gk+rFS8UrxhBGJiqpKW7dFbzyY0Ph9xB57HYSIcBwViPZzxsYs98Ma83Mamhg7X2niw2VZgPGxc2emWbWIkTX3ZUVuk0WMRPzD+5yiAM4Ypjvf9UYGkyUQGKrNKDQpLCzw+yYyS415jQzmJOqBsDD9mRwu0ZY8bwAH/V0biS0rOBwEHBaP/QYYuTtsYySGvCWBu5vnLQcsDVxbSqGxNKO1sEGBwGNv9RCaYRNi+ZJ0ZoNRV2+39ClOH1PYL4gIhsHIyLCFQfg8LTXNjBMsVISHtSMZjIeDgYBQBIIQ7Lmg3J0RJlQgIjY70vzP2bPH1Tc2WH6GtSeBTOVZ4vZEl5KaYv09hFII3QVl+dsSJDYbBUYa4bXg3eDZUAyQnJxiV5oQIuVmTt7nGCN3vNDcxvhk2oD/T1FRoWtqbrLXkbehuXgjerZbVnCCvA1veLtMra/PPB1KWhEbSqCxNjnso7mwFCYE95uwGfFuSB62Hz1q9+vQ2CXPJrYgFHgrCAOJXm56xThgnA0GSX19w6t7Se7fH/NW7JQJDRYoaxnsH0Jm3NaIRzPQP2BWLmXUvAbjhqnjzEOja7x8b4VZsVS8IWqZmTvNu6EvY8+e3TJANhDsHS6/m/BGJSNpyNvgHfO+xlhhTQmRstYMWKUVgzOJcC0GDGNrqHjc19Ji+2QjRzu2rODgVWClUiXCBiAmzwFx8MDByIw0rMic7KiHLOjFCK6qnvQbEoHD4qFLnZJIfv9GtGQ2G3iieCVXr161cAdeR1FxkfVFEUsn/8aYGsRk2XtCBfkFrqSk1LwSxAexonGX6b+Mmx8fj4RN8WD3Vla4vRV7X90Uyz7ctSvPQqnsAX4GpfCl/udxMPHcWs9JxDcYlUybZ39QAIBxaQUAfh3xWO0eLf853u9tLzbMSLvlPZwZ70HjNfN1DBHEib3B2m9UtuxJhmXJwnLfBHFS3rs1/s381ddf2xRoFjraC8ume+gPHkaMY9VQAk2VCr8/8KwkNrEnCHv2ecPk9KnTbv7pvBkktfV1rqik2KrRyP9R4YjwsHfIwVT6B8UeeEg2BNZbrefOnndnfzlreUIKUg4fjcxAo/Js7X5jHhYFCOXlZZbHQ9jwcMjd4BHJ690YsHeIpAzc6I+0W/g9gPGBMVtTU21RDHJyrCcFQ93dXa6ru9s8ILxYCpaOHjlq421eH8q6EdlypxlxeASmyx8ONFwhPFgNuKwc9lxyRBKPxY6mBUlIz7yrvj5/SE3b30DpsxUJFBW67Ukb14rZTGB14tFwn/zdIcpXE7wnUmLxdvIohMksCewPEqqPEBrCsaVeIDAWODgihk2Hu3Vr0DFqnhAKTX2sNZ4LXs3re438DP1XDIht3tfsGpu5c2nPb6qSsJwJufA3crCJ+IL1IUTG/uBaE6rS2C94r1SfEronJMva3bw54M6cPm1nArlBDBU8G4wRBImipc1gZGwZwcHKBDYAHeF4NnT5sohYj4TRqA7COuW5aIkN8VxA6Pg7GOKIZUvSGfeaMI26xuMDjBPyayR4CaWxdzj0q6qrrIKQtbTKwlu37KK0lORkM1qoJEIYJh8/doMDA3bQEDIlaYzHcvLkSXsdPRWE1YK9uRaeR4zII3IwUQpLw2dA4HVxOFGWjej83s8RsSHIEROGpSCJ9zqGC5GLqqpfPRuKBvBsrl656s6fPWth13RvfCJIRDp4HTmczcLWEBz/RmQiKwn5m/0Drrf3uhsdHbEvFRTkW1zcGqlKSl/No4qG4HAgcDBQHEAsd+TeqG3M/F35Zu1yGJEQjKZnJd4NrFMm+LJWlC4TgyekQaUQVzIH3guzzxAdmnIZf0SlGeuMwFCIMjw8YqHSXX6NrWHPHyQIBz8Lw4bXWvn06u8NSPYedrY/nLB0LZfjP7I3+L2UXdN4SviOwY+B6ODtyNOJPTT6UkCCQcu1JojNxPi4hUIJw7KHysvKzdBkD+H9RgTpgUU6yOEiOFy2Rp6H79ssbAnBCZoq8SbYABwgWIfEUa382Fusu72HEc1JAhwsiB5WMuEXhjVy/wnVR9zYSEJQzZ3xAQcG1WQcGIRDHk08ssOBpD4xdQ4Aij2Cy9O4liDomaJjnOdo3MVaRQTwmumdwEuxsTfee0EYrITai0UgHIhcQNAsyn5EfHgA+3bK7yE8ZDwmQjQ8+FnPnkpwYs3aakY8Y7wbjJbE7UlmjHBZXvnecoti4AHxGq6IHhkZ9d/70vYH+4T8H9EODJNo55LDZFMLDoc8HgTNVVgS1/uu2+LyZk3xngyJXzwbOvkph45W3sT+jgVc7FnvZT2wqcKIXnr6DgvRUOZKlQr3ycu7iS0cGBzqlMiP+IPi3ug96wTHIEBsqBjjoB8dGbbX4G0QJiksKPSHQ6aFTTBsJh9PeuF6aV/b7deX78W44aCh2ZiLs+i9IpzCgUTohZ/LXkE0uBsHIeJ1HGCICqKEyPFgDwdhtJc21YAbQn+9wE3EBoxK9gVCQiHJ3bt33LzfT7zPaezEc8nJzrEp4xgznAVUqWIwME+P88iutPDilO1fx6SJzcSmFhzefIwhCTYARQKUQnOHO4MSq6pr/EEQicdH020NGgYfPnxgjZ0cYlijhGYYVUFyWHmb+IBDHA+FNaJ8dWZ2xgyBhoZG80TxQoa9ONAkPD87Z/uGsAdWKAKCRctoJJ4nL0ffBGNIMCgI12IAISQ8EA2EhvAbeaBp/1zg+fA1fj+GEo2AWMNBpRs9QHNz8yY2Sd5I4ndjqPC9PCfCh//dMVYoZeaMYR+wprzvCY1yNxJ9VuwD9hBzG4lyUMDEazBMautq7WFja3LzbA9tNgN00woOGwDLlGtbCW+wAYi3YyWSrMXSIHcTDMCL1sLyd2CdPno04S2aSIc6VhDTDOgmp9opK/v3rwUW4cE68eBgv+vXiQOBggGqFcm5cBBwAOCN3LkzZDmdJX/Ap6SkmpAQKmVt8T5Wlles+qjGfw/XE/D9fC8HEoLGvsQI4eDBg8EgQljwrBAkig3wfLhlFvFD9PganzNYdnx8wv7m7duT/N+X7JKT+Zhke4iQnggf9g7CwbrR0Ds4eNPWKTU10tTb2tZqV5uQgyPnRy6ZafDsIwpECLNRJMBr8XSIfmzGaMfmFRz/5iZxh9hwB3jH1atmKTIAjxvyuEuCUFZ6RnQ9Cw4WrFk8G/JHWD14Vt/84Q8WYsF6ltjEHg4M1oqQJ/chMTCRQ5zyZUpTGSXClRU//vCDiVLurlw76InVX7xw0e4tIpx2oLXVffXNN1aFRm8NnmvQS8VH8jmESwjjkhzmUV5WZvmhnd7wefH8hRW1YP0iMogZIRj2CWLEYcU5RHyfEmv+Zv+nm6ARFubKcxE+rC1nzeVLl12XP2/I3zEAmCqzo+3tJjbkZ5keQDEJoTRyhHiltEGwxxjeScXsZvRsAjal4HB4kFgdGR6xESKD/pDHOqS/htvxqBKxsTXZWVErEgA2EyKHtYxljBXMpqvzlm9Ly4FI3khiE3PYL4SxWCMMArwN/6yFyghvUFxi5c/easVwoNiDdWN9p6enVr2eO36tH3lvOcMOEPYaFUeB2AQgIBSnEELBs+Y1qf6Asb4v/9rnL56bcE0yHidpu70u2/8sDiH7O70IsWdz/XOIGdYxD77Oz37994nogtcavM+JolACj8fKOhBSbWxscjT4ss4M7sSQoAkUT4jvYwo9hQSUvgeTBDbzGm7K/2aEKkjEMULk2rVrFqLY5T0b7v0++fVX1mBpb3D/n2hCKI0QyLXua3Zg0VfBlcCE0RCe7YkaTxJrOMSDA4NrfukGR2CCO0c4yMmlnD59xn+8bx4y+4sSezxXMiZ4LRShzM7O2bQBmoopgyV89iYoEOA1GCNYxvyOoBAgMTHBZWZkWCl1Tk6uCQsiw14hhJaYkGiHEvPbKGIgJCvPJjbgYZJTo7Hz2rXIhIC0tFQbVYRxS9g8MyPT1jq43BHjhLOhoLDAmnqPeQ8Iw4a9uNnZdIJDGILqD25iZIzEtH8Tc2hUVle7pqZmO0TMs9meRLPN6netP4Rd2FjkbThIsFYZVULJI8KT4A8VTfqNLYRd8WzwKEjesm84CAiFBbk9Jj9TrcYcLCxXDhgOfgwGxIewKL0VWLF4RAgRoTdeS3Ukt37+HngzCZQ8e++En4UBxFh65rAxrHPHDkKteD3bIgeRf5CfQXiCR2pqyivPRp5yuLAm7BXe23aPVkeHRVQwXriniFwMD5o2qTjEs2FsDdWpz71RQXQDMQqmROP1bgXjc1MJDu4tSdvu7m7X33fD3vS8kYmLUpJIGI0NkJpC6MH7N+u8wIGFwkdr+urpcRMT42axUglHGTax+h3pG+dK2M0M/VmEOUjysl/IkWAMsF84APBkiLlzSPA6EvwYNBzyCFJtXb07cOCgO3T4sGtvP2ahkeCKcDxaig4QNPbl6yAQ9FhQtUT1G/siJTnipfC7Cc0hQM+eRXpsELoE79kgLskp3svx35/oPWSEB29nKxxW8QLvbzxR1heR6fN7hynQGBhUpJGfY/gu73kMhXv371kOmZYMvGJydYhNY1OTvQ5PlXXcCmwKweENzZuSslQuLeKgJ0bK8/mF3tqoqTYLlI5t3tTReoOyEfk7mDxN2SweDodYrrdmEBssZ8IvskZjD2JCTm1s7L55N3xknQhtcA8NeweDhbvmacrDSsV4yfbeMRVo9NXgLVOFRsVjY2ODVT3iFVmlmRcoHhSuYPUC+8OaAv3P5XfzOsSLfA+hMeL3eDtcK45htH17olt48dx+Bn0bSclJXpiK7O/kb9nMsf54BvEngkEVIcl/StVZUwaulnuxQUwwIDAKeJ5p9D09vWaIsN7cJFxbV+dfV+2KCovMy90qbPgdy5vYDg9vbXBwsLhMXsZtzcrJtlgqBwFWKzcmRovg7zAXe3DQwjOzM7MWf0do+P02qt4fFCK2cGBgaVKRhphQacbhzxphGCR4zwFBIL9Cn8zkFCHRJIu5c5iwn7BiSQpjxeIVUTVGyDQ/v8CLRqqJBD+DUtm1gsNzxPyJ9fM3IGx4LRgiVKKxXwjNMXWCz/keQjeUUlto2P9++ra0j2IDaxkYDRiUnDdEMzBgyQ1TPs8+wnhAlChCoToVT3l5OXKTMEYK003YL9G83DEe2fD/TTk82AAkXRmwyDSBSS8+WJpYoVgSFiP1ViQWR7Tg7yDcwmFy9coV72Hd85suEnrhcGJkxWYYL74Z4AAn5MWBQdXZixcLLi9vl10pnu9FhVDJHf88X8drJg/D/qlvaHTtn3zimpqbLQzGev56WGwzC5cDBQFi3A0hFvZmIDiIC6E5Gj0xirCQA0+HkAqCQniFMBuiwt9EMQLfv+Bfw+FEuXWZP9C4elphtPAJ8jbW29d/ww0M9FvlIEZlc3OT93QbXd6uPHsdEydsKv31Pgvf0o+1r2W/XbDHPmH/bLU13NCCwxsRSxJXFbeWxaXLm7AE40RI0Fd50cFajGYYC7EJ/o7bg7fMzV5aWjZrGNHDCsZaFbGH2DsVaeRlEBvEhVAr/TaICh4JewlReDL9xASAMfFUFx4+ctjCZ3ggGBOvx93Zd4gGIRI8E5uH5g+UYO/xkWQxljAHFKLCz0KgCJMFAmZhNf8cFjAGS5Dj4cDi9Qibwmnhw5pOeW/XvJaeHotkzM7OWBn8kSNH3L59+219GF1Ekzk5G17L2cD6keOj+pEp0YRMt1IoLWBD71qsCMZ90GdD0o7OXRrnEBsWF++GNyvubTQhb4OLzebioAoaTA8cbHUVlVWWBBbxAaFXqs4om8fLASqFDra1mhjRlEeCl1FIVIztLd9rXg0X82HAkDt5E4RUOVzwdPFmzHr1Dz4PQEDa29tNvLCIKWRB8PDIX4fnMFZoDCVMk6N9FFPYH6Oj92yyMw+MW+bnHTh40H31zdcWKkOUCO13Xu1wPd3XvDc0ZWXrvKbt8OHVsTW5rwpEthrb/P9AG7L42yqI/IJT/sxdElxcNHZ/zGKjx7/4wqrSOCwogY6m20psfdT/HZRG9lzrsbHxNOu1+A3GLX3Rbi4V7w7hrQ5/EPRd77VGYMQDr6G5eZ/LyMxw58+ds7CsGS7+cOHALyuLTAVgnDzVYVw14G3d4P/QE3/I2I93XKRHrwUhF2accbAUFhZZiAyPKCJCa29xjYzT4fsjb8PI5xDRKvYt1ZSR5yKv/fU10YJhoHhbiGOe97T432GrN5Wyd2jsvHzpkuvs6rS8H2NrMGyPf37cKhV5DefApYsXzQCmcIlCD6ZJfPnll9YESkHIZm/ufBsbUnAQG7wIEnbdXV0WSuPfJF4ZD3Hi5El7swQVYdESHJvV5n8vBxQNnlg2hEy++Pxzm42EZUN4ROGP2MJBj9dBov7M6TNuyHuhmTszIyNmrAk31QoIvv/+OwuTICrsGdYOoSBMZqX03nB409uFHWbhOi825GS4ToBDmu/lOgKMjo3yVqMcmzB0a1ubhYUJ/SE6W7G6kr3D+5fq159+/NEaydlHrC3eKWNrCMfm5uXaHVcdV65YRRqC5E0DO4e4J+n48ePmpUbK2aN3wWO8syEFZ2LikV3NbP02XnQ4LOhtYSIrris3LhLGIkYazYWlyY+/Y2jotlnMzluvbMJjx45Z4pA3KJt1q26ueIADgysECHcSBqHyjPwa99OQR8EbxVMOKgsxZsjb7EiLlChzOFiTrl9DVvFNbxa+Rk6RvhneUknbk/zhEmnQtPXfQFuA4aOUahNqJN/E5wjnVvPUWUe8FqYEIDQYK8xIo6+OPAznDAM3ycdQIHLhwgXzoNlPNBUzJHjf/n12LhHe50ziZ27l82BDCQ5vaCxV4u+XvGvLYc/If0Z9kJw//sXnNiSPhCsWSLQWlkOMWD1/Bx4WG9L/MtuE3OhY7zdXmreMsXCiPT5HvBn2C3k+8jaMnCE3Q/c+iV0EBw8Yb6TXW6RUpLFn8nbluqKiYrPouf43ojKroSz/6dtWk9csezHjRezJyCQJ+wH/8HvjgeBvZH+n70h3RSXFVkixAy/Ne2xb6aDkfwNaK3hvUyDQ5d/nhEuhpLjYZp8hIuwjigQGbw66i15wbnrDBaOFHC5fZ1AwPVqamxhhQwgOfyKbHbHBCsXauHzxko0k4R3CeBGsiE8+/dQOE7yKaFhjwd9BkYBdsHSj3yxjNichiP3+b+BaWCwZhdFiC2tlzcCrFWkcGIRF6KGh/JmDlIMB75h7kri2grlW9LlgmZLDCAoE3uctErzWjuaNekD7/w4cjlTDbUUv3cTGGypT01NWvn7m1CkLmXONd3FxiU2Axruh8ozmXMQGA5iCE/YR/XaMtWECNLlkLl/bSv/7vY0NIThYqvyZVKRdOHfO3FZCJEDXN2E0FhfvBis1WrARgYq0c2fP2gj7wJohlNbY3GSHFRe8idiC50Ly3nohvNgQ/uRNTzy9rHyPhb4ijZ8jbvbJjPW4tB9rtwQvYkM4NjAa3ukt8upA8a/1//fqX8Hz8f82i/x3WP07+d9qqxpN5OIol2cKON7vqZ9/snu1qCZEaAiTlVFEkpxk++rixYvunD+X8KStV6q52fYZH2kOjnaV7EYi7ncUhzyHR9D5zeRl+iSwQIidYrE2+U0QSf5Gr9SQQyf4O4jRMn+LS9UilUxl5tlQlSSxiT1BXxSJWxr08GzYR4yiwUAhrGaXnN27b1dB4+1QbYTY4CFzQASWPQ+85X/44HX2iPybAgMer54PXhfPjzV/51YVG/YJeRu7jsJ7LpF7a7iugkgKIfMaKzZhIjR9Wng+TBLAi0aqyQsSSmOU1u6yyHUD4lc2xK5iA+Cunj1zxhaXkRGMEsHaYABeSUhdu4T0COedP3/eqpHS/e/cu7fCVVZXWb9PNAVPvDtPnz6zK6Ijt7x6L9QbCoRdDx89Ysnv0ZFRqygk3MaBQDyeiiyS42JrY5WGfl+Qn8UzpvJseXnJ8rNthw5FKtJy82wsEV87+8svlkvGGK3xxu/Ro0dt2gDhNiobxW+Ja8HBq+COcHI1JO6oMpp+Mm0lrcTaacTDs6HS6NeQxvqD1UMHOiEY+n2otefgwq3G6sHVjmYoT7w7eDdM6L579455xBgJvPlZJ3Jr9EkND9816xQDAe+0sqrS+iPe1tQpNj+IDeFywrAD/f3mHbN/EJv9LfttykRWVrZVpCFICA6GC2KD18PImib/IIxG5EN5m78nbgWHQ57wFUUCiA0VIg8ePHS5eXneXa23cSNB1240qz/4O/CoOLy404K4LnOyqETbv3+fdYJLbOIDyp8xCjgwqDpj7Ehubo7lZoq8UcDzWKMMW+RqccIjLQcPWFWj2NqYcevf5/T2cbcNoTQmhCM2J748aQVJhF5pf6Ay9fLlK1YwhKFLZernX3zumpr3ufyCQvOaCUuKvyduBYdSQzwbLr5iExBTZRHxaAilITYcFHga0Yw3Y+HQ6MVsJGZvEedmE9J9ThgNb0vljvEBBgqHAHeUPJ2bNyszmD/21B8eGC2ESzAQKG1lDxFz15w7wb6gEAmDhMGthPGZstDY0GAFScUlxRbloOcOw3NkZNiqIPNyvQHsjU/6cYJS+2j3/21k4lJwWMhHjx67u0N3rIufg56LrRiS1+A9GxaYajDGuXNzYjTA4uHvILnMaHHmb7EpKYs8ePCgNcQF1UzaXLHFJoYzPNUbBuyXRxOPbF0QEzxQvk7ehgQv62oTBrzBwARvxEbW6NaEvQBUmhJJ6bl2zQpMyM9keGOF8nkq0kr9Pnm5EpmRxmVreM8IEnuHYiEiLpRBYwCnpGqyyNuIu/9lOBwQGxaVajRCWMRMKT3Gs6EChNHeWBLRjLlTio3AcF8KVw7gbhPzZ4PxdxDKk9jEHkKejIdnnzA4ldJ5f5S4nLxcM0q46x+xYQ2pbCQkSzUae4giAXmnW5egIo2ZZxQl4d1wfUSKf18zhqa+rt7e74TNeA1fJ+LCaxhdxNgaqhvtWov8yAV6GC86E95MXAkOhzwbAI+CsmOaK6ltx2qgSKAFt7WszKbmcvhHa2HZiITSKJvFu6IGn+t8OaSoSsMyZnNpY8UW9kvQM0GYg9s5Wbudfn9QBEC49en804jVOj3tn8uzg4R1JFzC17WGWxP2CXsnMp7qhuVseL+zHygCYoZcecVeb9hmmREz0D9g3jOl9nwv+4fpJoz/YT8FoX3tp7cTF4KDa8sjuG4AzwaLg0vMGApCzoTmTkJZLDT9DdGEvwPvBsG7c/eOxf+xlrm/njANeRw2ljZX7OBNT3UQcXVyfYyuIXdDviZSTJJn1zITCr15c8DmobW1HTIP2S42i6LBIuKfhcUFi1rcHLxpU8KZFoAAEbYP+miIqmB40orR2dlhXjLhN4byMpyX2z0JpfE68W7EheDwxkdYKEmk9p1YKouLxYD1QEKutqYmtDAWBQqUYPM3cCcKsVkOsbK9ZVYkIGIP3g2xdg6KntXeLIoEOAiyc7LtoBi+O+we+LUk1s71AjR+Ri7DUxXRVgbRmJ6csmbN6z29VgVLozDnSzD6CMOF8D4GC9PoKTiZ8fstM3OneT/02vBa3XX1fsSF4HB4PH/23GLwv5w+Yy4uCXv6JxCbw4cP2+fRJEgg8rdQPsvkVwvDeLGhSIFYLnkjJQTjA7xQDIOurk4zDnjjN3B17549tpYcFPRLUUxAD0XLgRYLlaTv0G2ZWxn2Bl4xd1ghNNe9sUJ+Jj09IzJ4t77BjFxyew/uj9kdV73+wWVrPEclGnMb9zXvs9clyEt+L2L+ziMsgmfDJWpXLl+xYgHGuuNRkJCz6o/8/Kj3uiA0/B1XrlyxkN6Cd6+546J8717HJVxYPzqo4gB/YGAIkFtj9MjE+ITbnrjdLM4Kv1aMqrGKwkeP7fKr0tISMxhI8FJA4N3j1R8kthqEYfGEiVwEI2kI4eMZEx5r3rfPyp8ZhMf4KqaKcAUKr8FLbmJGGhc7Vux12bk5dreN9tP7EdMT1GaTeTcVkblw/ry5rcRRCXswQoKRIxwUJjZRXFjEBpeaSidu9KO8lmomxqEQorH5Wmlpq68WsYS8DBYpXii9EFis5NWoPGPUEGJzb+SehU2KCotsoCuFAnhAytlsbShIejA2ZpGUQS84I154aKuoqqm2QZtVVZVmlFAlSxEK3g/l0ng2iExrW6t50XjKVLKJ9ydmgoPY2ERWb6ky84oFnpl9YiEsRo3g2eCy0t0bzdJV4rTkAnCZieneGxm1y7OwionVEsqjJj9a/T7i3UFE8Gjwbu7dG7UDBOOEkSMYDRwmFBC8WHhh+4ZDgkZhJvhSaCLB2bowHYS7bQizErKn3WFladlxdcDRI0fMw6Gvj4G8VMj29V43LwcwWqiQ5Uxiv3EebNcYpA8iJtcT8CsRm9GREWukIk7a03PNPJn6+jpbXEbXYLmyuNEKZeFiIzYcVHQZI3xYP4TRjrYffXXbYYr/u4jVxuB/KuFh/Ve8oEw8emRe6ODATWvIRUCwTtknVBUiNtzIyJ4hJIvRsHt3qXk+EputC8YtV1X0UW3W0eEG/P7hfY/AUP366aefWPUrBgx5Hc4jRIfXkLdl6Cs5wJqaWqtI45zSfvowQhccDnlmFAWzybq6uu2QR4AqKyvcsU8+MbHhsGexo+Xd8HdQyYQVQ58G7jMhGjYdFjPTg7Ozc6wqzi434SG9iQkJ2xLc8sqSTYAmnDY9NW0iRF4Nb5j4Ohdg0SORkZFpZfTMScO7URXR1oWjDWHgbCFn03n1qonJ48nHLi1thxkkR9vbvegceNXLdcXvI/ptMGCYJIJ3c+LkCcc0AYYE02+jCscPJ3TBobqIg4HFJSlH3oYZWBwMra2t7rPPP3OlpbstkRfNSQI2Gdb/HZY89FYNFy2x6TIyMyyMVlISSTIHno20Jnag9Yw2wnuZfzpv+bWS4hJbp1TuJfGWKNf7ElajqtHyNjQIa5LAloX3LEYlD/rpTv18ytotiGYgGow2OnLkiGtqbrL91OE9HypT8YKmJqfM0CQvyH460n40UpHmjRyJzccRquDwq5i2SlcvF6kx3pvJvWwAXNvDRw7bxzBGe8/OzLrBwZvW98P0V8aRLy4u2UBOuczxBXk2JkFTzpq2I81CrlinJG9twKv3kMfu3bfm3JNfnrSDArFRVeHWBeOD1gqMEd7f//nX/7TqtO1eMMjFUNrMeYOhy91WP3z/vbtw/oLleZKTU6xYCM+HZnNer4vU1ofQBOflyxW38GLBpvn+/NPP5t0wSj41Nc01NNS7//LP/2SWaTTDaGtB+LiqusO72dev91q4BmuIEmx+P5+L2MM6MCsNz5jcDJYmfTWRvqxtrquzw9buwMFW17yv2fqluJKAQ0NsXTBS6NOi+pUroPFuUlJSrfmXajOmQDOiihAtX6c6lfwgJfbsMa6Ipv+vvrFBY6zWkdAEh7wN+RJGkODeMi+NRcR6wLX98uuvQo23sxkvXrhownf3zpCbn5u3EBol0K8Ex/aYNlos4H91tiaWKjF3+mvI2VAmb6Xy3itGhMj/cbj81z/+0cbI4wFpqOrWxiYJTE3b2Jq//uUvJjbslcrKKnfIi0iLN1jwjikmoO/uh+9/sAv72Gt7du+x4bx4NvTdFBQWrP5UsR5EXXA4uF/6B02VCA0LzN0yNOVRDdbW1mbNVPS8RLu5cy24zle9d0M/B5uTSjRKHrkumr+DkTYRdHDFBP8/O1uTQyEyNWDQ9hJCQv6NwwHDgKohwh+RO0tK7DnF2bcu7BeiF+wXJlCcOvWz3e5KzgavhbPGxGZp0d77FJtcuXTZ9lR+Qb5rbW3zHnSLDeXE+AzzTNoKRFVwOCCwLChhJZT2/XffWx08hwbXsGJBHGxtdRV+M1AREmbMne5hSiQRPzYkeSQq43ChqWAhSS1iB3uEO0gYssjBQFEHFYRYr8TmERZCZ1ijPKxfarX8Wd7N1sS8YX/W0EiO2ODZMDWEsTXt7e3W3Ml7fOXlioXSCMd2d12zUFpBfoFNNmk7dMjvp3obkcSZoL20vkRVcExsJiet0YoBeHg3xOP30iPhF5eYO3kbmj3DTvAGV8ViCeF9sa1IOlOSTbiGMI2IHSY45uEsmFFAgQljSVa8CBEy4/oByp4ZR8IQReLsiJDYmiA27A/Eo8/vFd7bCA+GY0VFpTtx4qQ1ebJHKDShcIkIBxPGl/z3BjMbMV7I4WRlZ6noJApETXCwRBEbwiGUG3Z2dJr1kZuTYz0ujK4hf8PFRZS2hg0l0GxMau6pXuFKayzkcu9tMbp+eWl59ZUiFmBYmuD4A4OigNu3b1mVGmJD6IwpEDQJV1ZVW4hEh8PWBu+XMTQ0b/f29ljlInlZhm0SSiN0n5Kc4sYnxu0iNQwY3vuL3rDEO/7000+9d9NmLRmITTRbMrYyUREcvIOpqWk3OjJs3g2VIoN+A1AUwAiJo0ePWtdu0EcRC7eV2WmMsuHaWKwcRlps25bgBXCXt4KSIkUDInawJfzWXPLCjzeKVfr8+TMzCpjqy7BOmvGIs2MgiK0Lxi1Rimtd3SY2hO9tSkDmTnfsk2OWtyF6gcHLPVt4P/TmEEonb9vSesAdOXzESu3tJmGavUVUiIrgzHnL4s6dIXe997qF0nBfCa8RHyVn09DYYGITRr/Nm2CTMnWYajUOM27+e+YPtFcVTtFx/MS7shpSo+Bk1u8nwiXLy0t2IHBBFuWtjK9hvcTWBcOQSApXP5/95ay74c+ax95AycraacN///lf/sXt2VNmRgsVqZQ/cx7hLXORGmE0erdoFGaSgCoco8u6Cw7CwgFOYyejvXFf5+fnXP6ufCt95tbMouIiE5tYVhOxUREd7kvhMGNq9Qv/t0tm4gNzcHj47bm4sGhrxbwHcjWE0PBsOCDE1oR9gTBQlRYICVecICxMdseopQSa0TW89uzZs+7yxUs2wor3eqb3lBGkTz79xLUfO2bnEWFZiU10WXfBYeoyVsbVK1fs4/j4hD8gCqyz9/MvvrAELyEQu0sixvBfHeHhY/AQ8cfateFQWPsQWxPetzwInf31L391P/34oxu7P+bSM3ZYtdknn31mhQAYJYyv+vd//3fX4w1gcrdMoaitrXsVbqMlQ3spHNZNcFh88iLEUa92XDXPBleX7l4W/ujRI666NjJtVYsrhPhQOLKIRty7d9+S/6d+/tmLSr9L35FukyYYj0UJNDPSqFpjmsiZM2fco4kJl+rPo4qqSuvbOnzkiCsrK7O8oAiHdTn5EZvZmRmrSGMoJ6XGWBI0TVVVVpoVQRk01oZcViHEh4J1TNg+UgBw3f3ihYR8MeF5GskbG5v8mVNlrQ3kZy9dYGzNZesFTEtNM4GhOIAcIAUDTBoX4fHRgkP9O/F1GqkYW3PjRp9VfDEjrbw80idBl68SckKIj4URWVSkBVPeaSTH4KV3BiFBdHak7zCBoTiAqjTC/GQF8wsKrO+PKkcaO4NGYREeHyU4iA1d33TtU/fe4zcABQMsYlFRYWRx62otwatxI7GB8ANvSNbKpi4vLr56BM8tvHhhViMPRnwEX+N7efAang9eg4HBc/zcdYrICvEPYV9OTU3aXVrkhyltnp2bc7k5uZYbZsRRdnaW7dHgNVzyyL95DWJE719ZWbk1m6vCMXw+OIfDYcNCUhXCAEUGYV6+fNm+VlpaYmG05v37X9W2y5KIDaxTIBgmJP5zFpw8Gs1tLD/THxb81/icabkUdTAEM2h+46I6HlzTC1yvS7iU0R9WACJjQkQZ9jAFAow5Yro7jeSICn1alDYfOnzI7rBiKj1DgqmQZRwSgoMnQ16HWzsbm5psvA1VaiJ8PlhwsHLJ09Bkdf7such1Aw8f2rgRprHS3VtZVSXvJsYgMggKb9bZ2TnvkT71IvTSi8l2KwVl+TEaKPig65pubAwERscEIQe+zrBTRIfXEx+niZcCEB4IjxDRhP2LwFDWjJBQJIAxxWSAz45/Zo3A7M0HD8a8IPVZWwaN3XjqTKX46uuvXUNTo00aj3VLxlbmgwQnsDbYAAzAZCgnt2fSSMVVA0eOHrE4KYeR3NbYgmcz49fKmlsfjpuRgAil+HUpLCq09UFQeJ5mOASGN2RJSYldB8CVDXydu4u4mRVDg3lU2Tk59hp6GXb5dRYiWrBfqTbr9WJDFeztW7dtv+7eXWq9NgdaD9pZw2gbqtYY3Dl0e8jC/TSY03D+zTdfuz3l5VYkoGhL7Ej8vz2rn78zTBLAeqBIgEvMyN/szMpyh/zCchsj8dS8XXka7R0HYOHNe88EwWBmHOvGXUSTk48tNMYbEGEhxIYRwRW8hCH4SHIWEeKabUJniA3TGShH5TXT01Nuz+7dFg8XIhqwf9mXkWGbHXYz78zME5ebl+vavNh8cfKEiQ0tGN2dkdt7b94cdE+92BQWFLgTX35p/TaE0djr8mxiy3sXDXDo4LbeGrxlm4DqtGTutvHWA/dI4L6yATTfKj5ASPBIsOrwTAmL8QbmgXOLN0N5KAMxER7ekIgMFiUixRue19DdX1RY5HbuzLJQxsPxh1aOSihOiPUmCLuwF8kRW5HA7dtuzv87PSPDypobGxusOg1PhmsIOI+Yi2hFAn4v19bX2TXRtbW1LiMzQ2ITB7yX4FDNRBiNhe3vv+GF54FL9Acas60CsSH2n5KaIrc1TiDxzzgYwp28CXNycl12lv+cqh1vJFCyzvN4KcyTKivf64qKS/z3pNvAw9bWVruyYc+ePdYwR5UP35e1c6fdV7Py/hFZId4KhhDFLYSDx7gCmpt5u7rd9NSU5Q6ZJECRAKXNCBLl0RcZEDw4aGJT7A0ou27gyBEzpqywJUFiEw+8k+CwAbBqHz+ODMljrDeVIMRWCZ1x1QCj4rkxD7c1sKhFfIDoEN4k2c+D2035N71RvIFJ+qcjSt574bmM1dADnduF3qvJy9tlhQSMBMnJzVntqUqxPeE3x+pvEWJ9WFlesasFuM+GvA29fYTMdvh9SWkzHgshMq4Q4ToCLlqjRJowWubOTCtc4sbO6ppq29/sZTx9nUmx550Eh1AM1zATtx/oH7DkHJMFqGLau7fCBAdLWWITn/CGw8Kj5Jn1sX/7j8lJq424/pG4PcmEKdk/knjNaigO72hbwjYb2U6BAdZickqy/xmRrSO5EesJRgxT2ylUodKMPDEFL+xFvGzEhjtu2LuE8xnaecOLDlcNcP4wGZrev8rKSgsBBxWUOpPig7cKTuDZEPcnpt/vxYZ46qR3baleIn5KOK3CL27+aiOVFjY+YV1erc2rj5EPwFOvXrP6df7/r9+z5uv2719fI8R6YGLjvRSuFyA/yBXQN/2ZwznEhHnu0qK5E0OXohc8HwSJAhcEqbSkxHI71dU1lpPkdZrbGF+8cTUsjrocmSSAO8uMNGYX0WvDIUMSmdLnmtrIFdFYzK8OIxFfeDeE9Qwe/v/9+vkqwb/JyQSf8x8Lm9kLVl/j/81H//+Cp4VYF4Levrt2c+cNm8lIVWR+foFVvlasjsjiTKIylgHBRFsstJ+XZ4Yv003wgHKycyQ2cchbBYcNQO+F9dt4S4Iad5JyCAyJZKYJsAmCjnQRn5h0+PVEPBAME5FVwViLCQqv4+Pqv1deRgTnN19b+fXxSpCE+Bj8vuJuKkr2ae5kUgBhtYzMTNfc3OSampu9l1Ns4oIgdV713s/ATSssoOilsqrSqtL4aLfApqpKNh55o+AEzZ0Mybt08aLVvz+dfxpp9vNiw6OktMRipPJs4h/emHNzs2Yxkn8jTMqbN4DbNImd8xpKT5/Oz/vXPDNrEhAWDBCmFlAKzYN75Gkq5SM/C0ES4kPgrKFPjPOGEmciKZTjEyJr8oZtIDYUK/GaoaHbZgynpe0wkdnfst8m0+fn56slI475XcHBquUQeTD2wG7R++XML2Zt5ObmWPkznb0sMkk6Ef8gBC8WXpiIsK5M3OXNS+lpADOpuGMEQXnuhQeDY9ELDN/DR8KrlMU/8yKEWDF7LWKUzFhBCYImb0d8COxFCgAsbH+9zxqLcbHJD9PcSbsFURTzfq5fN+N3cnLKcsalu0st0tLScsAq1yhyEfHL300a4HCafDxpoyHo2rWk3IMxS8ghNjy4dgDxYRPIu9kYIBoJlDpn0F9TYPeCVFRWueycbPs64oOoUMEWNHpS6UNlEKXUxMP5OvsjMWm7y87Ksj4IDgV6ryizVoWieF8Qm4cPHrqenmsmNsN3h82QoX+Gq5+ZkcYYJq4YINSGKPF6ilbI2bQfa3f79rfYjDSiLcrbxDd/N0uNUAnJOq4aYE4arisHzdGjR11rW5sl5YiRBoMdRfzDEuOpsLZ4J7yhEQdycRlM8vavIVxmr8ED8p4Or6E3h/g4fTvb/BsZD4fvD34OORx6c+h9CARHiHcFjxjxIER28cIFa9wk3Mueqquvdye/+tKfNfk2PYDzCAMYQcKbZu8yR+2LE19YmJ9cD/tPghPf/EZwOEiIo9JIdb33urt9OyI2DMA7fvy4a97XbDFSxAYLQ2wsEBE8GRL/CQnbrHlzrdHAWvOaIDSGt/P6m5ivr30NX9cbXbwvHDucNwzaJGxPqIwZaXjX9NpwcWNDQ6N7sfDcnTt7zooI7gzdMcMo1wtSg/d8GMp5sPWgnUdBc6eIb14JDq4tV0Qzs6irs8vmFtFvk+ctXKwNRklQkUaMdG0oTWnijcMa28KwFWQd/fP2leCj59X6+uf4nH/x1bU/gueDn8mAT/tZQrwB2y/eK15a5tI/SqAn3flz520A8OPHjywkVlFZYTkZRijhWVOR9uMPP1jUBYFCbJgggNhwtw2hYcRGbAy2eUv15eIiU4Cf2J02XGzU560NJgVjxTJfC8Ehns+EVjrWsY5fP7yEEOJtIDh410uLS5EGz8ePbVIAoTQ8m73l5XaPFr199Nsw2oYc8oXzF9yTJ9OvvJ+WlhYL75dQJLA6SUBsDLYtLy+/nJqctPDZlcuXXddqnJSheHgyNFQxxJFZWpFJAv67vNZIbjYvq0v8Rtb6MdoH4n3AUCV0S56QfA1lzoRoERpKmxnMyVUnlO///PPP1m/DaBsrkfZCxOuam5stl8yZJDYW2/xiv6Rb9+LFiyY4hNQeP3pssVIEB5HhI96OvBohxMdgguPPEkL4VE7yb3LE3/yXP0S8lpISN+OFiIq0//zLX837wYuhGpKwPoJDdRrFLAqlbTy2eWF5SQjt2799a5NZGdBJExaCgwscJOPYGBIcIcSHEpwhwTnC2UKTJvPR/vlf/sXVeVFhUGxfb59VrVGZhjDVVFdb71+bF6Qq79nsys+3AbNi47HNL+hLvJqffvjRKkaoUsPdpfKI6g96MJggDJIbIcSHsrKy7AVk6VU4jSZkzhgmzX92/DPrvcG7IY/c1dHhpr3hS1Vse3u7O3DwoF05UOhfo5uENy4WUqNAgLLEX06fsYF4DOIsLik2i6OwoNBu2PNmiTwcIcT7Q+LXnx1Ly8tubn7OTfjzhp4aqtMoDqD6tay83LwdigMof2bKSXJqioXSvvzySzuLgvu2FErbuFjRAAUClB9+/913fiN0+0XdYUk5bsyj05yLuZCal6uDHIUQ4l2hqN6bq1YcMO0FZXR4xP3000/u2//9NxMcrjnBqCVPPDs7YyF9DhxKpJlscuTIUVdSWmrnEpEXsXExwaFEkVlGf/MboOPqVe/mpnv3tcF98umndnueqkGEEB8L+Riuiabc+dtvv3X/8T//l/X1MbkEQYoUEiyaqOT75wilUbmG94MwSWw2Pq8Eh9JDBOfq5ct2oyN9N4yOYG4aoybYEDRtCSHE+xA0CC8uecGZnra2i9OnTrnvvOhQAcs10BQp8RryM8zxo/fv8y8+t74b8shrm83FxuU3Hs53f/vWyqNpBMXC4AoCQmo5Obn2Yu5SEUKI92JVcJa8B8P4mrGxB5bDuXLliokIEwYIt/GRogB6cQ4cPOAOHTpkFWli8/Abwfnhu+/d2bNn3fj4Q0vMFRYWWeUINe+gogEhxPsTyeHQd8Mla9wg/ODBA3v488dCZds5b/xZw7iao1aVdsCurU9KTl79GWIzYILD5F8Eh6KB06dOu+HhuzaRNT09w/I3wb03EhwhxPsSTK5gcCyhMwxczhzKo8nbEEbjMse6unp3sLXVxIY7cJSz2Xz81sP5/gd35vRpG+JJjTxxU5o+FTsVQnwsiI4Zrf5BRRoPBIiCAPLFbYfabJIAYXwMXZ07mw8b3ok3g5vb1dnpent63cTEhPdwnltYzXwaeTZCiI8lEJBVweGWWQxbcjetba02I40p0RQRYOyKzYcJDnFUFp5Beg/GxuwSLtxfNVgJIdYVLzZWQODPlxfeu5mdmbVzhsGctGBoksDmxu7DwdoglkoDKHdOBCWKdseJEEKsI5wtGLmcOU+fPjPHh16c3Lw8mwqti9Q2L68uYAtEB8uDz+2LEhwhxDrDkUOLRTA1Ggir4dkolLa5+c0V0/DaP4UQImoE5w3GrQzczc/fCY4QQggRDRQsFUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQoSHCGEEKEgwRFCCBEKEhwhhBChIMERQggRChIcIYQQoSDBEUIIEQLO/f8jGqSoEfd8pgAAAABJRU5ErkJggg==)
A satellite of mass m is orbiting close to the surface of the earth (Radius R=6400 km ) has a K.E. K. The corresponding K.E. of satellite to escape from the earth's gravitational field is
A satellite of mass m is orbiting close to the surface of the earth (Radius R=6400 km ) has a K.E. K. The corresponding K.E. of satellite to escape from the earth's gravitational field is
Three masses
and
are connccied to cach other with threads and are placed on a table as shown in figure. The alcceleration with which the system is moving is ![negative m s to the power of 2 end exponent open parentheses g equals 10 m s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
Three masses
and
are connccied to cach other with threads and are placed on a table as shown in figure. The alcceleration with which the system is moving is ![negative m s to the power of 2 end exponent open parentheses g equals 10 m s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
If the surfaces shown in figure are frictionless, the ratio of
and
is
![](data:image/png;base64,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)
If the surfaces shown in figure are frictionless, the ratio of
and
is
![](data:image/png;base64,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)
Three blocks of masers
and
by massless strings as shown in figure, on a frictionless table. They are Pulled with the force
. If
and
the tension
will ![b e equals horizontal ellipsis horizontal ellipsis blank N](data:image/png;base64,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)
![](data:image/png;base64,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)
Three blocks of masers
and
by massless strings as shown in figure, on a frictionless table. They are Pulled with the force
. If
and
the tension
will ![b e equals horizontal ellipsis horizontal ellipsis blank N](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArQAAAC8CAYAAACJ8j2eAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAGiqSURBVHhe7b1nnxzXleb5pPc+yzt4Ep6kKImURJFUt3pmx3yJ2S/SH2R333bP7P52X+y+6Ja6R1K3KENPGMKWd1npvTf7nBuZQIEsgDAFoBI4f+BWVkVGREbeOHHuc661DQgURVEURVEUZUyxD18VRVEURVEUZSxRQasoiqIoiqKMNSpoFUVRFEVRlLFGBa2iKIqiKIoy1qigVRRFURRFUcYaFbSKoiiKoijKWKOCVlEURVEURRlrVNAqiqIoiqIoY40KWkVRFEVRFGWsUUGrKIqiKIqijDUqaBVFURRFUZSxRgWtoiiKoiiKMtaooFUURVEURVHGGhW0iqIoiqIoylijglZRFEVRFEUZa1TQKoqiKIqiKGONClpFURRFURRlrFFBqyiKoiiKoow1KmgVRVEURVGUsUYFraIoiqIoijLWqKBVFEVRFEVRxhoVtIqiKIqiKMpYo4JWURRFURRFGWtU0CqKoiiKoihjjQpaRVEURVEUZaxRQasoiqIoiqKMNSpoFUVRFEVRlLFGBa2iKIqiKIoy1qigVRRFURRFUcYaFbSKoiiKoijKWKOCVlEURVEURRlrVNAqiqIoiqIoY40KWkVRFEVRFGWsUUGrKIqiKIqijDW2ARn+rrxGWHedP+TVdu/lCZHjh0fZrNfhi6I8BcYoh7b5tDZ5H+t4tUtlPyPjsqxj+PIU3D/eJsZl/X9FGOWR9Zv1TeXH6Gl6BMOHd3gGw+DeGXj88ARPllfDc+67Z3Ke0Vn3n/fhcG/rNNaL/MljeDb+MTrZ8Gw/eC7lqKKC9rVCbjXdS7+HbrvF1Ea300W7NwD/j3yRhc3OB1scmHWMOe57+/DJt7tgd7rhcjnhdjngdTtgV4+gPCmDHlMHPdpjh6nV6qDb7aPPt/pDmxsMCy5jlyMTo0EaF2b9v4/dAYfLwyS26YbbaYPLroXVa82gTzPrYtBtoddto9Xpo90doEsDG4kly0BGdma2mPesJCcZYvyjAzaHC063Cx6vG06HHfxvmj3luLGEeYReG+jUWDZ0UOm60R64+T2d8HtdCHj5nYe7fp8e85fPbaOOVq2CRruPVt/B451weP0IhILwuJ3wOGA9i8OjDob5zXLKNujyXnXQbLbpF1hu0U2ITzDPt9sLJ59tp5Pn5PPtfFh7c7/De95Bn9fWavfQZOrtu5kD3seBjfeR53HzXrp5gS7eyNH1je29fA1RQfvaILfZyAP0u03UiyU0qjU06i006CTao5pWgzgT7i9O3PzF9+jdRUjY7+0m71DuOrywuYLw+bwIBb1IhD3GsSvKYyMuqN8CuiwIGw3Uak0US01T8Axoc2KaYm3mp9ikSfLXfbvk//sFDwtCU+D5InD5w/D6gwj5nAi6YQTHvf2U1woRs71WHf1GEa16FaXmALX2AC2J5ollFw/aWJ9bLfv6jo0NxJBcsDGY9waDCMZC8FLUeims3NxpXD2giP1+s4x+OYV6tYrdThRVWxhOTwCTcR+mop57ZcC9vDB5RsHIY7utBuqlAiq5HMosWGpdJ5oDD1yBMMITSZYRfgQ98iwynxz3z/A9JPigELX1mui0GyiX6sYvtNpdBiEUpAwo7L4o3D7mu9+PsN/F8/KZP+j5ZnnXb9d5bXVU6w2UKi0TzDCWobDlAQ4Gvh4/vD4fAgEpxzzwuizhLvfxEVepHDFU0L42iJhlQY82n+8qCrtZlHIlVKtNNOwu9OiY7cYZ0IUzku3Q4bebTRNdd+we9J0++DziNBgJ28TN96gbumgNfHw/jEAwhIl4EAtTYUbhDMEV5XERF9StAs0cqpUqcoUGdjIMtDoDuL1OOCgSbLYeHOiYloVapY12u89CzQkbxarL64PXMYDLPoBj0GXZWkeP5j7wT8IRmIQ3HMdk2I1k0M5ClDauJdRrSb9DcVQtopvfQrVcRLrtRpmCq923w+V00H5oNLSdfpt+j8KpyhiryffdPgocvxseCjHqHNj7tD2xv660X7ngicURnp+mEPJRqDkQ5D7O4WeODyIDKPgbFbRKadR37qCQLWJ9MI+KexreUAwn5yM4MeXDSIdarXeEz1y3UUarVkajVkGpxPKl1GBA2keH0ah5Tl0BitooguEQIuEAohGKR+YnH20+1wc8k0bQtlkWtdBp1VAuVlApV1leVfn8l1FvddFxJ/n8J/h8RzGZDGMq7ofHyXspGpXnu3dKEbQ8R4flXrVSRLFYRKnWRaVlR73Lco9iPRqPIRwJIhzyIUxB61NBO5Y4/p4Mf1deaUTQdpga9NlFZHf2kNnOIpspo9anVHC5zZNr5z6DNp1GegOF7XVk8hXslXtIN1wY2J3wM7J22ehouhQNzRKKdFzZYg9tntrtciEZ88MlXl9RHhsWjJ0yBvVdVIo5pLNlrGw3ka/24aBAsIlQpc25UEKrksXe+i5S2znaZo1bfGi5/CYYc7JAdvRol5U9NCt5lNpOlDteNAYs6Fh4Rn0MxljSqaB9Pel3GmhXcmjsLqO0t41UA8hS1NQoaB3SbC2CtpZFu5RCObeHja0CVncbqHNznz7N6XNR+A5MrWG7XEE9X0aFqUHR1o1EYPN4jDD2DQXVeCHlQ5OCNo9KegupW1ewdncVq2UPMm0/2g4f4hShk1H3dwStpDYaBeZZahP5nR3s5lvYbfEYlhdu9wB+Vxv9Rg25VAm1Whsdqe32+ygkXUbMyvnut/w9iHlWGfD2e20GEVU+/7y+1CpyW+vYTtewW2ijwBs08Hjhiwasbh88RoTyg6ccUCAz2G2X0aumUClVkOGx23mWiH0PookQQmGKbAYvPvocJy9Ijh8lZTyQAER5LaDjYSQtgrZL8VDOUzjsZpDaKZhotS1RtFv6g9n5MLfQK2yitHYV28t3cHcthZupFvZqdopaOnWGwB5nB85+mcIhizTF8d5uDsV8Fd2e1AIrypNA25RalHoWzXIahVwOG3s1bOX6qHWcLPEoNtx9BNxVOLt7KGwuY+PmbSzf2sBquoldita6zQub0wWPowdXJ49emfabSyOVrWAr20GR4rhrOooPP1J57TD9O+sVNPa2UNpeQzZfQq7RRanvRN/tN10GPP0qbJUdNFJ3sXZ7GV9d28LdrRKydQbtDPodFLUeijRbp4Z2IYPyzhaye2mkqy3kW31wNzMeYeyQvrP9GjqNLMrZTazf/BbffnkFt+7wGdstUDi2UGn1TFeM4QHWMQwiGYmimd9Ffu0Odm7ewtomA4F2FBVvAp5oENMJIDzIo7B8G9s372BzPYXtUgs5HtqUjz0ov0T0sqyBw8+gNoRAKIBQwAm/ow4U11Fe+QorV77ElS+v4stv7uDmRg47tT6KPGeb53yg3ZnC2sag1+EJwOexIeoswtGmMC7SN+y1kSrys1xe+AM++P1uuEUUy2FMKmbHCxW0rxXylPfpKChafSFGtJMIJ2eQSE5gMhFDIh5BLBKk4/DC6+zD0WuYjvSdng2tgQdw0yGEwghHE4xopxCbmMVEMompeADJkAshr43RsboA5QkRs5S+bLQxp1NsLIbY9CQm5ieRmEggHgsjFvYjGnKDpglHv4N+h3Ypzb52bvCE4QlEEIjEaJdJJKanMTEzg2QiinjAjbBrYGrfGI5pCfUaM7BJ1akHPU8E9sAEwrEk/VcC0xNxJOO0nUjI9MUMULC6KdT6nS4azQE6Awn2A/CGaGP0fXJcgn5vciqO6akIklHarHRZoHHZx87ELOU3kKb9Qh7V9B5KmQwDwCpK3S5qTM1Oj2VAH30RimZvYWCOQTuHXnETxWwGu+kGtvI2VHpeBMJBROJRlhUxBINR04c95igy2MygVsxiY6eI9RRFMgMKGZT3SChI7RSkbl8QPn8QsZAXyYANXlTQqeyisLeO1ZV1fHtrF+s7DD6qbTR4ygfOyjLP5pCBok64GJS4Gby43OJvPHDRJjxmYJnVXUFF0fiiXQ5eGySa7tHbtihSB2h1/XTSUfgiFLOzTJMRRIMe+KWPbL+FVnoT1VwOFVsYde8MepEFLM4mcXouggSj7lBInEsYbjp6v8fLbQEK4iCisRCdhHY5UJ4AKXm6bRaObXRtPgy8Mdhj04hPJTE3GUIi5ETY20XQXUenXsHOehnlKg9x0f4W30BsYQnzMRmwQjtkYRdk8oXDcPkn4POFWZh6MRF20b6d2uXgtUWanPtm5owWTa0vtX7TCwzKJyhmo5ig3wpLd6pmGv1aAY1qHVsFF9KtCCYWZjB/fAazi1MUrwzo3dJX1o2gDIQNBRCIJeCm0A15PQi6HAg4rSbvH8ZSXQ8Ir6eCH2b9f0Lkk6VFrYduo4LK7g7y29vIpPaQKWRR7NlQCy7BHpqhiI/j2HQQCwmf9d0GPQw6Ndgq22hllrG+nsNKqo/tWgD2+AwWzsxhdjKIBMuUoMMOe6OEfmkT7V4X5b4be60A2gxgp4LMLy+DAYrJhwpJG69TghGWW7ZOC+5WEfZ2BflmF6UWRXenj0bHgWZbnm87n3knyyYK1uE5zXkHPLbfZary0suotJwotQOo9SIIRSI4Mc+yK+iGh4pW9n/yvFSOAg+1IeVVQx5R3u4Bo12nD/5IDJHJKSSkJisZRzwcQERGoPopBnyMWOmYZeoSh90Bu0OOYTTr9pqRoP5AGMEwHXiMx09MYmY6hqlkCNGwFw4eoyhPhChMuxtwReD2WzVgMzNJzM7EkYiFEaFoCPp9ZmCO1+OEmwGT0y62KQPGaJceqb0JsBAL0S6jCCenEZ2aR3IigclYABMUxDKYUU3z9cYmM194AjSzSfgm5hFPTGAqEcU0A/FYSJqbffB53fC5rSkIHVKrZ6P/c7ppY154/AHaIIVwMIJIPIHE1CSmZqcwMRFFzEeBy2DJQ/H1Q2Y2GPTNgNpep41Ou4lOq4lWs4nmU6QW1Xmr3RlOaTVA/4G29h9ABl6ZKboqDBQZJBbrKJbaqEqfVApIN4WhVE7YDujgar4DxWWnnEEjs4FCoYhsDcj1guh5QohFvCZPg4EA3N6QydtEuI+gs4EePyubyiG1W0Sp3kaTQYZ0hnv4lTNHbW7YXT6ei74gxPNHmcIUy37pO19HPb+H9OoKdjd2sLtXxF6piXLLmpJNqnLMbCnyPfh9HFIzy+DD42VZJzNTuFxwiT/hPnLvVMyOL+riXxvkMZWxt14K1CD8wTCi8QidehghOh6fR+bqFEfuNAMbRJiaB5zJJnMuGmHL7U7pZ+vm+x64WDgEwmHEWChE42Ge08dCQN2B8oQY0/TA5o3AFYhRlEozrh8TESdCfpnbmDYnAw2ddlMDY5cBG2KTYpu0SQm4ZFCPzEnpcvtMy4M3mESY4jbO88QjLgR83M8cZ32k8vphYwDk9NDXMWAKJacQjlKY0meF6Pt8tAuZS9tJe7KCJbEVbjS+jzZnbIx2yE1iZ25/EN5IDIEE7SwWoaB1IeS2w0tR+2gXSNk26FHMttCW/ryVAiolCrtiEUWKwidOpQrK1SYqjQ4aFLVmdo/H1bR96XBaw6C6R02bRqHeQ67tQ23A7+bxIOG3m0HAowFSD5zXzPTQQqOURzm1jWKxgmLHhpozALBcCHuZHx4XfDJPrIvBAAWkdBnyu/uwtWqopnMopPMUtC1UedFNnluE56OQPrVSseLi+Xw+P8KJGGKTUUSi/LtXRC91B4XNdWxuZbC6U6WopdgXkT883jz8cj/v+Qzea/EbxqeIP+Hbw12V8UQF7WuDPK0UtLYgnUKEETMdQtiNSMQOj0ycaBjNvyjJ/DXcPsRslKa7+9udjHZ9FA5eCls3zynOX1GeDNofCz5bgII2FIbPH0DMY0eEGlZMU0ZTm/EnxiZHDH8zJjmyWbFYsT8PDwqwEPUjGPLTxr20dxZgMvxZeU2hKGNQ7vJ6EaQAjSRjtAkvXCJuhrYk9mPsSf4NzWuEtU1+yn5MDhfgDRib9QaCiPicpssC46YfELTSF1VG7NfQLOdQzaaQS+8ivZdCKpXCLpO8/mDa3bVeM3mkCxXkKm1Um/17NZKPg4z67zdL6BXX0SxsIdd1IeecRNM3jVgwiGPUpnGXDdTp+zCzPzMPZAEUCmmK6uxOBsVKHQ3mZM8XgEvmc2UmmCCBe1Mq8vGmmJVuam4+h90muoUM6tkMSo0mShS0deap1NI+Gsl4G3W4g7/xPsoYjmPHMXtsBrPBFhKVW6jv3MX6yjZuLOewtldHvUvhbR1p/IjF6NVCvo/tuzdcGUtUfbw2yGMrt9vJSFQKd6smVvoZSVPsI32wwXrgv+sKTDOei+dzMXpm4aBVYMpTYaMROmmbTpepOXGxQGRZaizWsqj7lvegDX63IJK9pQ/30MZdDrhZIquYVaTGVWrinNLETIEltbGjZuYR37Wmg7YYxF7tYq9uU3PrlgFFtLFH+1I5F1Nfamibppm/US6gampoCygWrFR4nMT9C1KrW6qgVGmYGtpmR8TyQ673AUTyyqp8NdSrNWTTdWRzHXSdPngiYbNIRMhHAcrHyMztPPxClpQV+hS0PL7bQqNW57XzPDK4S7pneLxwetzm+ZX2QPP8Sh7Ls+iRQVjcp0fpWq+iU6ug1mqbPrBmtgNz7h9GtKeUYU5/HL74HGJTc1iYj+PUjAMxRxnd3DYya6vY3EhhLdvAXrWHake6Y/Dg79wc9QqvFvufZUVRlDFGiyflKGMJWul/Ouh2TZN9t9lAm6nZaKDBV0nNx0nc36RmC81216x81TF9aM0nWB93ILJDB+iV0WmWUa40sZW1I1Xym/6pyaQfk0kv/FLV/NBayx7fa1OXSx/eFmp1Wb2LmyloZRlgp8tpNeHLJklSyWF3mGDVLs37PF5qadHmd+/ILAoDtJ9oujPmH888cITg8E0iEJvH4snjOH9xAUtJG0LtPXR272BnbQ03N4pYzTSQq3XurQhnYf3+2B+pjAUqaJXnhmnCU5QjAW3RtBWrTSrPC8u+7nV/eYSpySAlq2eqlYzoe2xG+/JVjtt/6CNPIxfE1JOFDkpmZa9KrYlszY1iV7qMBRCL+hALy8A4CtLh7t+ny+8mgraNdquDRqOHDjXygILW9DN2UNDK99t/LdIP12kNMLMPerB1W9TVLQraHlpdEeM8/hH59SDckScfOPywe+PwRqYxubCIE28sYn7Cg5i9DGd5G6XdTaxupLGRKiNTaqLW7hvBv3/g3COzSxk7VNAqzwc6DeMsHt9LKcrzg2aoAZby/BADs2xMmv1lztbvIx6Rwk5m53B74Q5E4I/IrB5xxOJxxBMJJOT1kSlhvXLfeIKv0TCiIb+ZP9cvXWt+sMuDDOZqolnMo1YomdrVujOEbmgSvlAIkYDH9Ad2D+cdG/00uvmeeOaXG3T5HTvodrvWMtTm+8rgOWtAMY8wH2cdT+RYEbXywuPtPFZqqWUatS7FrKTHfjzNfjyRLAbk9MMViCM0tYjJY6cwNzeBuZgdE64SbMVt7C6vYnN9BzsZitpaF2UKb36kdQrllUMFrfJ8GDk/SYry0mFhqqWY8tyw/J2IMrMAAV/FBT6IbHBApk30BBMIzRzH5MmzWDpzFqffPIuzZ5nOnfuBJPsM9zv7Jt48fQxnFidwfCqIiZALHumj+v0PJmL8knroNBoob2dRThXRohh1TE/Df/IYgvEogjLjw7D/q4Hnsk4nP2zDAW9SWSFfssfvaonZ/kBmCeBnm9kCDpYV1hl4DTLCU7pdyGwPvYFJMtBYru7xkfMwyawFLj/soQW4Jy9g5tgJnDmZwJuzdsS7uyjf+gpbt25jZTODlUIH6ZbNrCQmhx+US8p4o4JWOQTonGSt7ZZ09M+iUshgL11AKlNBrtREW0Ji8mQOS1GeFLGwoZVJYdmuo1UtoJbfQz61gd2tNWyub2B9Ywfr2zns5msoNbtodGU1KLVP5UkQUdalmTXRbVXQKGVRSqeQ3d3C3tYGtrd3sLlXRKrYQLHeNf1bLUS8UQh22zyO9lmvolGrolaroVatosokr4+XaqjWGqg126i3pOneqh0+0JDlWrtV9Oo5NCo55Gj7uVIH1RZFgNsJf8BpugJIv962zG8r/XJ5zVID2+vIADLpXtBGo9nhs2LNpmA+hqrQEqpMw98PVIqys9Xef+9P2VFqfY1gPuiYH+DeOWSJXFcIjsAkwpPzmF6Yx8LCBGajdkTbexjkN5Hf2eZzv4eNvTIK8szz9nV5rHUO5VVBBa3yDIg7YJJIvU0xW0mhnrqJvbWbuHFnA9+uZLG2S8dLZ7tvb0V5joiFSe0PC+BqDtW9dWTWvsXGrW9w6/rXuPL1N/jyi6v44oub+PbOLjYKTWSb1hr8w7JWUX4Y+jz0m+h3RMxmKJg2sbt6Bxu3r2Plxle48e11fHVzG9fXitjIUnRKJ1FjmyJmKWQrGZS27yJ15ypWbl7DjetXce3aNVy7Onx9aJL3r+Lq1Svm7+u3VnBjNY3lVAXpsrVIQe8ALyvL1PYbRXRLW6gVdrFX7WKvYUe5SRFAYe1u5NEq51CSGRRKFYrwNsVuH81WkwK3ZoR3tVJFgQdUGxS7XRv6Nopgh8zlCjgc8pnSb5jP3kH9LaQ2tSfPpQxcs5tjIX1tnTa+yCwIo5rgJ2H0PUXGiLB1wx2eMDXfyaWTWFpI4kyyh3g/Z1a+3LqzgtXVXezyO+Tbw2dejnwKMa0cTVTQKs/IfSfdqWXQyq8gt72CldUU7q7nsZmumwm/R3sqyvNFrEwK1Y6ZFqlW2ENxdx1722vY3FjFyt27uHPjDm7fWMbyegpbhQayjR7qXatwU5THwTS599vG77XrJZRzWeRT28jQzlKbd7C+toJbq3u4u1XEbr6BhmnnFvroU1zKMbX8Dgo7q9x/FZtrqxRbktaGrw9L8j7TivW6trmLzVTefEahRps3ovEAX9tto9cooVveRZ0CPMt9qbNRpjjt8zmxUWDX8hkUclJ7W0Kh2ka51aOgbaDTrFDQllEqV5At1FDmw9IcClpZ0GQ0LZ7kiYhZq/uAdQXyU65H+mEMepTaPRG03FNqVR2ue1NH8uUpheXwIPkMXo/0p/VPLCA6fxzzi9M4PevGhLsGOgHkmMdb69vYztWQqXZQ4T3p8LaYazQnUcYdFbTKY3KQt5FtI4ciioAeslNEs1ZAPl9GNidLKbbQGXY5UJTnjik9GUDJPJk9a9BJR0xzQFcnJWa3gX4tj1ZhB8V8DqlCEzmZp7JlylxF+Q4H+T1iVKMkS0D2ZT/bgCbW5m816scKCvSBeYqncrllRvKbqabkUOsMFg85/aORzxr++piYRRTaDXTrRbRqRVSbTYpZpkoF1fweKntbyO5uY293uFhDqYm8DBir19CsFlEv06fninyvikKlg0ZXalllSWA3fGYQmXz9vtVFQYQrM+X+d+XvMveuDAKj4O7Bgb6sDCjLCbsc8DptcFPQWv1znw7z2EumOINwh5IIJOcwtTCPEyemMBt3ITQooZ/bRGFrAxvbOWxlanzurRrt0X1Rxh/H35Ph78prj0TQUnvAaHxzGflUCvleEGXXBNqBWcxNhnF80ouwOLB7E9VbztXWb8E+aMBpq6LSciBdCdFD+REKB3FsPmxG4YrTkKNGRyrKY2HmzayxwCygns9j7U4euUIPTXsQjrmTCM3MYjpoR9wLhFyUFrYWCzjacdeBni0Eh38S0eklzMzPYTrswqSvg5irCniCqHhm4HD6EHC7kPDbICvsKq8j9Ep9BkGFTTQKaRQKZaxkbNipBxGfm8D0QhJT01FEPBRg3JuSjPZoY6KSc/qpo6IIJUKITfiRnPLC7QmgUQvAZ/cgFvRieiqIoPGBspCDTG8lA8NiCCZmEJ9ZwvTcIuYXF7G4xCSvP5TMfktYXJjDwswEZpMhTES9CHmdcNnt3xOH/RZFdrWAdimHIr+b1OhWKGYbFLh1CtxSSSoh+Fxls0xp5DNp5Mp15OjL6xSv3b7UfTkxsLvg8Xvgddv5OR0zk0A7t4NcP4yCI4mmK4YJ5sOpGT8CXlkqmN9YpgmrptHJriGVrWGj5MBGg89udBKnz81jdiLEZ88FPsL3B6MdRK+DfqOCfnEHrWoFOdc0ap4kbF7eo4ATk37eFzMgTbov8Pp4rzwBD3oU891aBZ1SmvekiFyzg1yF36vNA+wRRKIhzE35EOI5ZIEMLZ/GF62hVb7H9x/o+7H2wQ+7AzYHnRejdU/AC6/firxltRjRB+oglMNCbOmePY1qZQzS5DmCb7BAc7Kg80QmEZpcwuTCaSweP43jCzM4Nh3EYtRGcdJDvzeg8B2YQTuWhSuvLyKE5HW/JfD3Aw1D2shd9Hs+uP1hhOJJRJMJxJNxJGJhxCN+Bv5u+N2WSLo/84DMciBTdkURTM4hPn8Ss0sncezESZw8+STpFNMJnFiaw9JsHPNJP0WdC25ZuOD+g3Afs6qZH3ZPhD46imiEIjDiQViOoa8WAWi3W7MUWDMVWE+W9VRJvljJzpPLbAYyEMvB7+EPhRBNhBGgIHVLK11Tuii00Or1wTDU9OeVfrW9bodvNU1Ndd/phlOWS49asyoEmT9eKpEfjiX3fzG5KaMbY13lPXhf7C4/n/0phJm/U4sLWJiNYCFuRxg11FI5FFIFFIv8vdOD1KmPejgr440KWuX7DH2F1aomDslKD0ccijg6OkNxqKaDv+VkHnA0ivIsWAbJJB3fRIAO7VJM09gnrc0IBxbeNg9cLi98fj/8QUk++Hw+eL0MuDxMbr7n8ZjmUo972IdPPkN5jTGGZP0qr0PbsuzMemeUjJ1R2EHmXaXxuB0DOPpd9CjamsUGWvUu7LQ1V8gPFwN8p1khyypwLT8py4XTRj0UxNzPI3b5NImC0OuWpXcdZundhzXb2xxuOPwxuOOLiMwyuDt1BqfffANvnn0Db7xxBmfO8G+mU6eO4+TiDJYmgpgNuxCh8AzEGBQmpjEzO4kT8wlMx4MI8zv5+RwFKEqjM1OIBAPwUxa6G1XmQQ1VCtp6n8EiM05qSDvtNqpVClqZTsTL53FiApHJpDlPkHnj5XX/sKAdYm6G9ezLP7PJ/BzBsmc484HTP4nIxCxmFudx/MQ05pIBhLpNOOQ6W7xXvM4mj7BGeSjjjgpaZYi4BOnQ30PfJFkXXPoVDtCXgQa90Xbp1G+5kQecyMiRGkd/74/hq6I8PVLDY4yRNij98/r820qWbfaYpKZVbHMgfWXhpulRRFC0erwu+KWLDDfJwBW7w8XCzgebM8j3fAgFXQj4HUbU3jNb5TVjKIrEpmhnlj2JL5TAqWderflWaWPD3aXrAKQmU2o1+atDVs9qUciWaiinK6iW2+i5aGsBH4Wkxwr0zafsY+grR7WfT5/2udyHYHN64AgMBe3cGSydehNvnD2H8xfO4/z58zjHdP7COZx9k+L2+AJOTIUwH3UjFoshGJ+h+JzDwuIs30ua7g1Rv88I2mAkhsg0348EEbL34W1VMBBB2+qiKsvadjvoSO1ss42K6bPKfPBSVFLQJiYpan0UxU47PLzGHxIjo/tj3SPxBda9Mj5BXMS9AkkyRDr1+ihqKch5/VPSTeP0EhZm40g6ewhIFzlZ6YznbMkgNR71QHmmjCUqaF975DEWD02n0G2ZuRHbdEjNVguNds/MR9hptZm4vdlEo0XnJM00Q+f+fSdAZ3Jvo7oI5RlhEDVggdhtNdGtNdBgarZlXXZZP76NlqxrX6+bNe1btNd2VwZ4SGHmpoB1wiVdX9wDOjoKjl4Lnb4NbZsfHWcULl8Y8TAL7aADAY/NrLKkvGZIcC42NuiiJ4KUdtSQeV2Z2u0WfSLtrtNES/xho0Xbs7qn9IwIosHYJFHeDjroyxyuMi9sqY56uYF2h3ZLv9rlnlIx2eXHvSzhJF3CHJ4gXDJgKjGLiZl5zC0sUqQuYXGJiYJvYX4Rx5b4OjuFubgfE0EnA74w/GEeE5vE5FQSizMRbncj5JWaYQ9c4QQCkwuIxqKmD3rUVoO9VUKxXEVepv8ql1CtllCuNZGrO1AfBOAKRDExncT0dJTC2A0/HzzX8DoPhsGF3B/ehzbvUb1RR7XOfOZz35BnX2rFWUa1OrKErhXYmnLI3B8f3MEkRfc8ppeOG1G+kPRhSr4bg1jpQmHuiRZVrwQ6KOy1hk8xI1TYWNjL3IjVHCrZHeS21rB26w5W11LYKQPZpgu1vgdBOp9IyAOn02pmczCydkgNAc9kkxkOuty5k0eu2MVW1ksn7oU/GMCiDgpTnoY+7bIj08FlUctvo7CzjPXlddy8s0f7kgErNtQ9UcDtY+EE+F0203fb6RBxatVcGcycoVWgVUSlXEe+NkCh7YOdBXWChXSCNh312uFzsAhU43ytsIRSw0xp1cjvILN+C1vra2YS/rvbVeyWB3AFKYpCAZoZXykM3cO+pjIu1k6vZnpgyjRxzRpajTKTCLkmUuk2g60ObNJHNE4xSSFopxOUpvWjamfyvLWKe2hs30Axm8XmYBZl1ySvPYqlqRCWJrxW1wC5fklO6Ufs4Xdvg2oeDj5nPerIcs+FZqWAdiGFVmEXmb0CVtN21NxT8E4uYmZpFkuzEUyHGExKl58DM8QqMWSGhm6zjEYxjdLeBvZWbmBjfROrNS/SLQ/qPQe8fO5DXunba/XzlfPde/4ZdMhyw9INwc777bU34fTTbwQm0XNT7IbDODntRVT6E/NeHdFbozwGWifx2iNOYxQBt9CRibRbHfRsXga3MTrxkBmtGnZ14ZLJ6tsdNGUVmW7vXm3DKCnKoSLBFoVCX5otaXP1+gDNltM0WXrDIfjDPopQ2mWnxoK4iY6sK9+TVYzMweYUpsm418agVUO7XkWzO0DLGUSXhZmMMk/4nYh5bOCLitnXEquGtk/76bYbaHZoHwM3ui4/vEE/ElG3qb13yhRwjZbxjaaGVkzzntOj4dgY4Ls9cAeC8EXC8Lhpp+U8uvk06sUCiq02StyzxWOMeR5RzHeiaLf7InCHEwjJoK/g/Zlt5JGUXawuF4wiXVHYAjMIJycxMxPB4owXcX8PvWoZ9VweFaZyqYxKx46mbxbO2AJiE5NYnAxiPu5k3jIA/aEHT2rRZR5decY7bTQYP9QHTnR7/IVllo33TVYykym4ZB7eUZe4e1DI2pwy28kEIlMLWDx9EsdP8XU2gZmo1zz/HumONNxdGV+0hlYx/tj0E6PTpm+nM3CiL4NqAjGEJuaQmJnD1Ow0luYmMDsZQSzkQ9Dngk9qw/bV0Nq+V0Pr0xpa5ekxpaf0j5MkwkMmZPcz0IojGJ9GQpoR5xcwPzOBeZm2KOJDxC9NoVJIip3RmGVJ5g6FSrWKSqWJeseJDs/hDIQQigRZWLtpxzIFkQyosWxZeY0wNmYl6TfbpViFwwtHIApvZArx6TksHpvH3PwUpieiSIb8iPpoY7QZGUgotbSjmkCRUUZIUdy2mz008g3TmuWNUuTOTTEI8yPAHWQAlPOoGlpfygCZuJnJEwbiJxBKzmIyGcOCTEkWotiV7yxPivniUivKjOAzampG3W5mX5Dint/VY2eSQZceM7uCKziB+OQEJidjPB+fPUaRo9kN7tWmPsBoo4zh4HWN/AClp80bhjuxyGubQjIew3Q8hETYawSyzPQgz/P9c8q1ikOwm25F0g0J3hhFexwefwTJaACzCR7rdZrWnQMvRRkLbINHD19/YswjLWccFQ7aOeXxMJnFCHiUX6P8e96IM7eJWOiiK6vCSD8y6aNUqqJWa6HVd1AAeDBwWeI0HArAL/2nxFHRMVjOjddMIYvGFkPnu7i12sSfbkZQ77EAmJ7Ez9+bN9PK8JNMFPzcvpfJu+HZ+WJyktteSD6OOya/rJw6MvlF25Ta1Z707W5K3+4KbbKBcr2DRlv6JLpYMIXg9gcRCngZZLnh91jTEDltfQZZsjSp1Se8kKuiWGyjK1MX+XlMKIgAgzLpR+c24kQKu8O3zoe5V7XJx2Bok881r4yNdajHaButJhpSs1irod5oodYcoNl3wUX78gYpSun/Aj6PsTEX7UWCJqvLAe+xBF7SR7tVQ6tWRnplEytf3UFtQBudW4TvrbeQWEhinh8Z43Eiao8iJh8aVXTLadM3vYgo2s4QnB4/YiEPYgHnAS0ZffSaFbMyX7POwLHWRrnRR0fEp2nul2kdPbC5A2amkWDQixCTBAWjJ+6R2SHBhhnfIWVTDc1KCY0G75U9gJ4zCLuI54APIQazHglOKUpNl6Ph4fcQkd6to98uocp7W246Uet44KLgTsbkvjqHK54p48qhCVoZaSgd59ttFkD83cxnd3DYpTwEuRHSXMKbAqeLBTOjXUkykvVoQ8fVzmFAQTuo3qagbeFPt+4L2p+9v4D5iYDZUxyYpMNETFgGcMiADhkBKxYtfalGqBX+MGJ7ko+Sf/Lsejwy7ZWLDt7qLzg+DN1Zn36oWUS7VkKtUsFOqoVs0QZ3OIRgIozwRAhepwtOFroSmHlcTrgpVA7DZ0k+yopJjUbD+EN5fq25PdUmnwTTdCwPMxFbFJt0OmVKNoqOl+4TGZ6Lr2GS2Q9Mza5UDAxk8GEbpc0t7HxzHdWeDd3JWdjPXkB4OoF5XnbkCAvaZ4PfX2pSW1WK2woaHRuaAzfaNi/cXg/CQemj6hj2PX4ZDH0DX6WmtzccQCa2JDXpll0Nd1HGkmcWtHK4GEKxWMTayiq2trfNiiMemWSfDsgqINRKfhg+XMzLVqttpniZmprCwsKCGX0qouJo00O/kWZUv4ZO/lvcWGngT7cjqCKB5OwM3v/5SSzNheGi83BTaIpDOyzE/jqdDjY3N7F8d9msfiNLLEpAYEQE97GclNrgQUiuiAOQZWKlf3StXjP95mTy9qnpaUQjEXh9vjGwQYHfRFYVQ5v2WEJhexPZnW1kUllsFXrINCnQpYYt5EMgHITTF4fLSxuNhTCTCDD5zaCQZ0UCe1lx6ebNm8YuRYRJYCqiTOYgFdQaH448rwP6imbL6hftsDswMzuLk6dOIhIJw+v13RO2L41unUE8hVujhlK1g1xV+m6zLLT3eL09NEpV5LaLGDi98E5OInzqGKIy3RVN1M/Ldr2yBsAv2G2ZPsky40hn4ETPJnPuOuHzUsxyj6Py1Y30GckfqUl+Ze/J68MzCVo5VJI4lt3dXXz2109x7do1bFPUiuOJsDAUZ/RSHc+YIPkondyLJTpB/n761Glceusy3nn7Hbjcj57U5OUhpiP3toNeLYN2aQ3t7A3cWmvgs1VZkyWO2Mws3v3pKSxS0Hq4v5eC9hA0wz0kr6Qm7OuvvsafPvkE2WyOhWEPQYoyERGC6RupNvhIRITVajVkKMTi8Tjee/89nDp1CjMzMwjzOR7l5dFGas1afK2jW81i9/YytpfXsLO5h+36AHlZtJTRlFXb54U9OAtX9Bjmp5M4ORfF6dmA6X/7rNSqVaytreFffvsv+OabbxAMBo0/DASCDwQGapEHI8+qtBQUCgUzNZP8/ebZN/H+++8be5SASxYieKktB+0S+vU8WtUC0vkGNrM9swqWzdGH2yVTezlQbbjh8ctyuFFML0wgGvbKDMlmiqqXeOXPlcG+mmvqe/pnOwZD/2ua84d++OXaviV5WHTsQ2tnXwWeWdCK4xEjlZqIT/74R1yhA9/Z3sHc3Bym6XxcEknT8TzDx7zSmGeI+Sf5KKJC8lEKxDNvvIEf//jHeP/nPxsDMUFB2yiiW0mhXVzH5l4TN1MBNBBGKJHEmbPzmEoG4LENzGjSw66hrbPQ+4RiVgREkYWgrKAzOzdLAREQN8WCT35aH6pW+CCjAqZer6GQL2BjcwORcATv/ex9s3rQ/Py8EbgiII4+UphKDW2DAVYBe2sb2NvYRjqVQ7YNVKQvOL+u3WaH0+mGzT8JZ2QB0xNxLE6FcHzKb/rgPSuVchm3b9/G//N//9/4/LPPjS3Ozc1jYmLSBKdS2Euuqy0ejIh+6bKxvbWNTCZt5sQ+d/4cPvroI9NqFY3F4Pf7X66g7ZTRp89rU9Bm8nVs5WTmlwEFLQMmD6/LIYNig/D5A4hGg5iQFap8LnPf5aqtp+5VhZZt/d+HCkbl+fPMglb6ywrbW1v405/+hG+vX0c+l8fZc+dw4uRJigsPHY9DBe0jEFEhDlyE7JUrVxgQbOPEiRP4EQXtL37xc7g9so7KUaZnpk3qtSqm32Kp2kWm6kYXHrh9fiQmIggG3HBS0MqsCPu6tz4zYldSs/iH3/8Bv/nnf0az2cTk5CQuXLyARCLOPUTQaivBw7DyZYAyRVgqtYtbN2+ZGsy33noLx2mDs7OzSE5MmMEcRx8pRcUfyST3dVRzRVSKZVQrNdT6NrTsTjEYIybMyGxXCA5fFKGgH7GgF/GQy4xyflYkL2/dvIn//g//iC+++IK2eNGsyCT5KcvuSvCqPBzpzyh9j6XLxvLyMnLZHE6fOY0PP/wQC4uLJsCSYPWldoPpNTBo19Bt1lAq15ErddAW03M4Yfe44XB7+auP99sDv9eFoN8Fj1OGkIlHUhTleXAoglZepcvBF59/jhU6IFm156fv/dQ4comkxfE8w8e88oiokH6g0sT27//2b7h+7bqp1blMUfGzn41DDe0IERTm/4Pw+z0vJy52JaOSf//73+O3v/ktBYkTp06fMoXfzOyMuRaxv/Ea2PTiGAl96fe+vr5uWljarZYRX9JvUYIDSfIcjx20jcfzOswD6/+hIIL29q1b+Md/+Adcu3oNH/zyQ/ycgenFS5Y/HFUCKAcjAZUEpp+zPPn6q6+wvrZmWgre//nP77UYSDeOlypoTWuATCUlCyq00Ky30B3Y0Xd4zEIfUhPvY/xkpoM7zAheUZSHcqiC9qsvv8TqyqqJrn/285/h0qVL8A8jaVl7Xfk+pjGcokKWSSxQVPz+d7+jqLhixNily5dNv7HxEbQvHrG9UQ3tv/72X+B0O/HGG2/gV7/6FYOCObPPfkH7uBLndUGa3yVH8rmc6ff5DQWE9EleOnbMDAoba0H7krgvaP+Rwek1fExb/OCXv2SAevlBQTusHVceRMZdtDttfPbpZ/jyiy9YpqyYloL3GNxLV7ajIWjlvtGbSF9RWZq5TXFLXz6wuzBwuuFw2iA9D1TKKsqL49Cqraw6OEucmVofPu8iHkRwGM1sPf+avpPu58/wdV8eqjN8TEb5JX1lxfaYTPYyP6V5d5THVj7LG5pGycqTke2RYf5JMnmpPCVDmzR5KX9LHn/XFiWZtzTtT8LwdZSHMg7jaCE3dXhtDiccMqUYk4sBtdshS9PwK/A7jL6OoijPn0P1Evecj3FA0lfSbmrGND1+MqJM0tBhKo/D/WJDbE9mNTgobzU9XhLxIPmoPBuShfv9oUzZZezzO/mt6cEk7P/76Nqi3GC5RgpamdPYKStNyYIL1opUvOXqwRXlBfL8wl7Lmw//UB7GfmdtCr7h74Lm3mOyvzbHFDJW3pm/h0l5NPvzSXPrENiXiZZVPmiHapM/jOSQSWKbZstRhFc2fHbuJ+u6FUV5sRy1dpzXjntNvWT/78ozwGzcn5Oar4+H5tPzQvNVURTleTNmgva7kbCV+OOAKFnS/kj5YftI2r+fojyMA2xHtn532720367kj4P2kTTcRVGeiANsytr64Lb9yRw34oD3TbLOoSiKMk6MmaAdrkByL40GV1irk9zfPkr760as/R48XpIsOat1KMrj8H37EbuRwT77t91Pj29/ivLkWDb1gD1ZWw+wM0lmHad9HGSPkqxzKIqijBNjIGiNe6Zo6KLfbaHTaVrLdDY6qDc7Zoqwboepze21CurVCmq1Bmp8r9HpodMTwUAn3eug1+bxrRqatSqqFaZa0+zX7AzQoRPva5OrciBSwtP+em10aEOtRhONOu2tI5Opd80UQ51WA+16FY1qDdVqA/VGm3bVpV0N7a9P++uI/dW5Txm1SuW+/bV7Zh14y9IV5YcQf9jDgPYoPq3dbKJJm5T5v8UeO32xySbaDfo62mS1Wkel2kKjxfe6fdqa2KN1fKfdQIv7iN+U/ar0q402j+d+GmgpijJOHHFBa3lUaQKTJS17rSratTKq5TKyxTry5QYajTo6TW6vF1HOppFL7SGTKyFbaqBQ76JpBAVTt4les4RWOYtiZg/pVJr7FZGvNFFu99HsiqA1H6fNbcoQsQQahdSssvCX1adaYn/FEoqFEioMnBrc3uD2erWAam4P+XQa6UwR2UId5XoHLWphSgceb62k1ijlUEjtIr3L/XJl5Gin5UYXXQmmjKEryqOgjdAexR8Oeg36PgbwtMcy7bFcqaHeZYA0oCitlbg9i1Img/ReHqlMBQWK2roET6ZVq41Bp4ZWJY9yLoPc3h72MgXs0W6LNasywLQ/qE0qijImHP0aWuNPKQgoSDu1AurFNArZDLZSZexkqnTiJTRreQoFCtmtVWyurmFjaw+beyWkim3UOgMKCv5rU/RW06hlN5DaWMH68jrWN9PYzlaQqfW5H4WHVMQNRa2iGKTsF8Po1c2yvtV8jkETRcI2RUCpzGCogQqDqVJ+F/ntVeyur2NtjfaXKiJTalJgDCggutQfNdpfFuXMFnZX79L+VrG2lcUmhUam3EazZxneQPSK+U1RvoslLs18tt0WNWmFNpVHYY/B+W4W2WwB5VYTVQZPlRL9ZGoD6U36udUdLG/kkMrXUWLk3upRrPabPL6IemEXue01bK3QHtd2sLpbpt9kkN8U4Ws+Tu1RUZSxwPH3ZPj7UzEaGV2tVpFKpVAsFs1KOAuLC5iamjLLGI7mFnwyrGY1KlE67zoahT0UdtaR5mds7xWwmu2iWGvC1imjUy+hVs4jm04hly8gV2wgX6qbGgtx3B2K2XIhi1Iuh3w2h+xeFvlCAaVqC4VaD+UGP41lhdvtgN1ph93BNLyKF4EMxJC+a7JCkyzzuLe3h1AwZPJvfmH+Ja+Ic/SRZYNl2dbV1VWTV4lkAsePH0c4HDbvP91clrRr2l9falabFbRKuyind7CzlcH2dg7b6TJqtM32oIlaKW+Ebpn2lckUkMkVUKnVUG21UacYlubceiFjasLyOQoPeS1WaKcUHrTBZpcCxevHQFaEo3Z28FIlvQhG+SK2J8/uHp+vbreLSDRqVmOSNfMlyXOsPB7SJSpHW5BVwjLpjLHFpaUls/Ka5KP4zCe3R0Ei7q6p6W9Vcmjkt5DZ2cXaeh67mTJ9GYMmBwUrg6fyXgol+roCbTG1R7+XLzJokprXFmrNBprlAup5BmWZDIUwg7QCA7BclX6xjmanh574bI9XltmDeB/xhy+qsnbkD3d2dpDa3TVLgodCIczNz5tn2ufzmdUTn65cURTlVeUIC1rRE9IsVkevUaKD3sTu6i1sb2xhbTePu/keBW2LpUcF7UYVzVoJ1VoeJemOkC4im8rTmefonOuotWp0iiWmCkoUErVSDvVKAQWK3nSuydQGXE74oz44Pdbk2FJ8vyh3qYL22Th8QSv7iniQbgYUCbUcqulVZLdWKR7SWNnIYyNFO+q20GXAZAQr7b9arqJIsVpI76JYKqJQpX3VGXgVyhQPWVT5bFQrFMK0WWOnuznaI49rD9D0J9D1BOG2DeChmvXwlr8I/aCC9vB5LoLW+FkJ8Bmg1wsUszsobt/F9toGbq0UsMUAK0d769gYZNFmq/R31XIFZd7T/O4WipkdlJst5GtN5Mr0iRSwDQnqy9J1psxUQT7NYH8ng0a7h5bDh7Y3AgeFo98+gIs2+SKDLBW0iqI8KUfTIxjHKTVk0vewa5rX2nU66FwKhb1tpHe3sZXKYCtTRLpYQ7HSRKPJ/eh4gSZapQxKO2tIry5jY2Mbq7sF7OQbdOY9NDo8J9qw9yumP21+ZxubdzexQ5GcrbVR4fvUFwc0s93fIr99//1XGymEpaCWwKViBjTVmOcsXCkmJYAZBTavFNK02++gz6CoK91aCink93aR2tnD5nYaOwyacgyQyvUW6p0+rYp6o1NDt7yNamYDu9sbuLO6i+WtPFI52intqyndF5x87AZNNAsUGal1ZGiD6+kqNot9io6+GchocvMBASHb+E+eCb75Kmb3kyCCRwaEij2WS/QNfBVRLtvEHl85xBbkpvel+0oDnUaZfi6NSnYXe7spbFOI7jBASmdLKFUoWGmPDdpam76zX9tDJ7dCO1vH+sYOAzL6zj0K4IrYbQ+0cPQZvHWqGVR3lylqt7Czl8dWoU2fSH/I7DTPN4Mts6i0scF9tmhd4WuJ5IHYogSBYntig2KLNaktlwHL3C7vm/xTFOW5cjQFrXn2h3Mi2h2wORiN83d7j5JBxEWriUqji1rbjoHTB08wglA8jsTUBBKJMELuLjzdEvqVHIrlFnJ1J1q2AJyBGCKJJCano5iY8HG/HhwsGJrpNMr5Eor1jhG01BSjS7gHr8Ry5vt4XVyUOGMRCSUKh+2tLWwxmZqTfN44bnHar6TDNkuVWstvuhx9uOwdE1y1Gi1+7w5aPTv6LtpVMAZ/LIkYbSsZ8SHu7cAzkD6zVaQzNeQrPfQcPrhCMQSTtNHpKSRiQYSdDbjbeQqJPDL5OvaKFGhNCgwZnWhsT36I3RGzycpj6+f998z7rxGUUSaQEuGws72NlZUV8yq1orJN3nv17JF3mbZIZ8gXWVp1ALejC8dAZjloocFgiWaJrt0HWyAKbySJMG0yHg1hIjhAzFlFv8Hgq1RDrtRBve+m3UYRiE8gSpuMJ6KI+voI9HIY1PNm4G2m0DRdssxMMcOrsKyPd0Bm5RA/Ocrn180Ih4x8owT7ZcmzDAOL7R3TWil/y3Z5/4lr5BVFeWKOcJsNC2sKWYc3BGd4io53CslEBBPxEGKRMFyeOLzhGUwunMKxs+fwxluXcf7td3D+/Jt441gCJyZcmA7Z4HDH0PcdQ3jyDI6fOofLb53HW++ex4XLJ3F6KYH5oB3xTgX2eg11iuQq1WyzI47KugZ6IssZDdPo19fJgUtWSG2DiIYr33yDb77+Gje+/RabGxumOVAEhJUprwryjUU8eGB3BeH2s7CfSGBqhkFTLIJIMISgL4xwch6JE2cx/+ZlnD53GRfOX8BbZ0/g0qlJHJ8KI+r3odfhOdxxTB4/jWMXLtJO38G5Sz/C+TdP482FMGiCiLqaaFbqDBCaaDW7LABlfLmVnyNbM3bHfwOKmgH/MNrGvGfeGO79msDbY5r1szlcvXIVf/7Tn3Ht2jWsra1yW9a890oKCJsTcPrh9kYQjNCmZmiTUzHEAgGEAiGEo5OILp3B1Jtv48S5t3D23AVcOnsG77w5iwvHGMSHeazTB7szjMjMEpYuXcLpt97G2Utv4fy5szh3YhKnpmyY8Lfh7DZQqzBVpZZRahjNBVj2Rvp92uJwm1Q2mH+vYp7/ACJoR8HVXmoPq8sruHb1Km7dvIl0Os3At2oCfkVRnj9HWNASqSGT2lk6cZfHD5/XAz+T1+OBwyX9XYMIhCk24gkkpJaBojeeTCIR8SEasCMoYxqc/OGKwBOIIRyLY2Iijtg092dBEOV+IbcN3r5UbbTN3Ivt3gB8sRRt3+pD2aoUUMmkkVnfQXo3i0K1gUqHUTmduOz6vNy4qaE+AoWEFFjiuJvNpulnKbWzIh7Ead+8cQO3b92iI1/GLrfnpda2ajW3SVPb80byx/SRtT+HfDK1YbQ/lwdunxf+gA9e2p/H5aYw4Ks/CH80gVAsiWhCWgeSmGTQNRkLIErj85r+kk7ar492SiHM9+MTk7RVBmfSohB2I+wDPPYuOu0O87drxIPJN9MaUUWnlkMll0I2tYXtjXVsrKxgbWUDG9sZ7MognloX9Y7MpGDJ8MNCcnNkf0fBBvcj1yP22G61jT2K3a2treHu7Tu4KTbJdPfuXWxvbRuBK11kROS+CHsU7vfZvp9vh3Jv5Jw2F+2J9kcf6KM9+gNe05/ULTbqpY8Mxxj8x2lrlj0mEzFMxUNIRmi/HjcctGfYaZsUwGKPsQnxmbRJ8aHRAOIBwO/swi5z2bY6Jo97vRbdI/1gtYhqLo387g4y2+vY3drE1u4e1tMVpMptVFu03+c1ee3QDkfpqPSfleuQQcTSd7/dtvpOS1/+mzcs33jr5i3cvXMXG+vrpvZWWrnq9brxj/dqtxVFORSOtqAl1iM/dGKjZJyIwySHDFaQv+0ycIriwe40zsXJ7U5ukt9tsi/fHzkfOLmPJHFE9gEcIktlvlqTLC1rnE2vgW4jg0p2CzvLd3Hj829x8/oaNnMVZFs9VLnL8ywi5RqOgtMbXYPkmeS59BPb3dk1tWJ//ctf8ckfPzG1ZF998SXF7W1sb2+jWCiiyf16z7l24l4ePY98GmoSWh9/iGi2uiCMktiUDCAUOzK2xeSg0blctEu+Sl6ZLjPcV2zUKe9TJDtElBg7lW3MV5s03/bRY5I5kwf9npnzdlBNo5ldQ3rjDpZvfYvrV77BN599yvQZvr5+F9fWMriTaSJb65tuCoeZA3KuUd6O7v9RwghG/pc8lhqw9N4ebjGw+vyzz/HJv/8Rf/z3f8cXX3yOGxQWmxubJtASu30R3WMOyjMxpUNBTiTfnQGcsUexMWOPlo8zPs1Jm6JdjYSW09gk7W1oi3Kc3dikDPTiMbRFsUexT/GbVmxIW+zJ9F4MrPoMUOsFlHO7SK+vYevOt1i7+RVu37iKazeW8eXtNK5vVpGtdNCS2tzRdR4yo3w9KH9fJi6nywxUk/wXsbq7mzK2+MXnn+Mvf/4z/swkfvLK199gmYG/dEcQYStBlnCUvouijDNHXtBa0DvKfzpyk+h46a3viQUjco0HHf5Nj2wXx2ycvjhoceLWsfzB/URFcF86fCOU6bxtxkmKc2EyLllEbgu9dtnMfZvd2sTqtbtYu7uNvUINhXYPde7Vex6em3R7XTTp8EaDC+T1ZSRx0PsHOfS6FPLVmpmJ4fbt26YLwhdffIEvv/wSV65cMbW162vrxmlns1lTg1YqllCREdfl8qGmCq9r9Ht9v1gx9/gQkdOZczKJ7Y1EgdiWmKIksSNJZrslYE2QJccxWXYqVjoMvIywtY6xiaA1A9BEDPCfCNouba9RQKuUMiPU93Y2sUkxsX73Flbv3MTyygaWN3NYy9SRr3XQkW4KYrbP+tV5PZKH0owqBa6IwJEd7LeLl5XkOiTJdbVaTRMwiV2m0xmsrqzi+vXr+JL2+PmnnxkBIbVkqysrDMB2TG1tIV+gTZYsu6k8aE/PmqQmuFavmd/rvFbTFee5YdnV6NX4MUm0SZmNgKZmtkkyIpdJBO79oEz2G/5u/KYV8EuAZac9ijGJPco0YQP6wU6rikaliKJZvGYL2Z1l7GzKrB9buLmaxfJOFYVqGy3aYf9ZbXAfxhPzOrpij82mue8jn3RUbFKeE+knKzW0lWoFmUzazFYjtvjVV18x0P/CvF69ehV379wxXbUy6fS92lqxEzleha2iPBvUcU//FMmhowcxxahUHtq11VVTwLz/85/h0qVL8Pv9ppbg6T6Gx4hz5r/69hXkrvwr1jdTuJb14HfVSwjOnMB//vEU3j4ZweKEi265g2p6Gat//j3Wb9Bx5HrYmP41HMd/gsvHorgw78aZZItiI4Vmfg03/rKCa3/ewu1vq3BcehdTH/0Ci0uTOJHw4aS/C3cvRzG7g9TaLlau7eD6Z7uwzS5g7m/fw+TJeUwnQ5jj9fmNDHl6pHARpya1SP/2hz+YfJRpamSqn7Nnz8Hr8760flhybVKgSHcDccR3bt/BBl+lP62IWrkuqZ2IRCKYmJjA9MwMZqanMTk1hUg0Yu6/TFUkBafcy8NkdG1S0F29eg1XKajlM8+fP4+PP/4Ys3Nzxu7E/qSwfmJ4fvRaGDTzsFe+RXn7Dv78RQlf3+5hvRTEwvuXcPFvLmFhMoJpNxBn8IOtz5G/81dc22zj83QYnxYXsHTqOP7rh0s4vcA8CrngZrBUWvkK65/8v9jYzmK1lcDV0K8QXDiL/3DWj3NTNkx6akBhA4XMHu24jt18FblCBTIfc4vBVCN4kh94CqGpY7h0KomLCwEEvQ64Rc08gTFKHgpie1IIf8MARQraaCxmbFBSNBo19/gZXMWhIdcrSYSE1Mre+PaG6V4gtiiBU7PZMPdaphybnJzENG1RpsuanplGMpmEz+uDU6YSHAazh418tiyrLYMnf/+735nuEL/6m1/hg1/+EpcuXzb5KDb7VJ89OqaZQ7+yTvu4jru3tvGbP7axXQ/BNbeEN/+Xn+D05XnMcLdIowRXfhWDlT9ge+U2/nVnGjeb82iHFvHzn5zERz+aQ9TvhLNbRzu/jcyXv8X6l/+O5e4stgOXUEm+g7Mn4/j4VBeBXh1N5m8ulUMpn6IQ20Ou4USmk8RudwmJ6Tn88p0JnJwLIRFyM2QTO3w6e5G8Eb/y2WefmVrOOwycZbqus+fOmXsY4u/PVq4cLqPrkNrXb+i7pZVAphyT7yG+T6a9C9M/yrXPzs4YmxT/KNMyJrhNni/Zx+v1mnMpivJ0qKD9nqCdGgraHty2Kjr1LDLru1i7to5bf11Ff2oWEx+/h/jxBdM3bZ46iUX9oQnaP/7xj/js008p0lrweD10djHT1G9qS14GvDb5bKkhkRpXIxwoeGrVqhG5Ujg7eX3iuMUhS4EtycvkdrvgdLBoM7VCPM/wlIeFFO+S83INImak9mZxaRHvvPMOPvzoIxYes8buXpSgjVHQ2h4qaBcpaKNIUtB60KOg/fohgtaHc9MOJD1ttItZ1Ks1NG1OtGSN/nYV9uoaasU87uQi2Gsk0HFP4eL5Obx9jgVjwA2P1MQ9wbM2ElZG0K6vm6BAgpW21Bp1rdHZbg8FivOIzEM79AdSK1Ypl41wELuU7i2mBYH+SNhvj2KLfiaP9L2XbjNiC+ZrW9/9sLBOSTHGvGvU62Y2ELG9X//d3+GDDylo6Q9fhqDtU9DuHCBoP6SgjVHQOro1dPI7BwvaExP46JQNcS8/mzbYqEurVRb99hbS+RY29ly4sxGENzyB996bx9JiBPGwBwxhjR0+zTMveWMELf3gp3/ls3TtGv/uIZFImPyT++hyu41f4QM+POrlIfYkfkb6z0pLwNbmpqmll+8h74l/lH7Oct0+v88EiTEGjHF+n/n5eZyjUF9YXEQ8Hjc2+1S2oSjKeHU5eCj33n7YTrJdisGHI++O3hd/Yv6yUyS7ZfCZ13JGbjs8Lpvpe/a8fM7otOLQm42maVqTgluaM19GqkqqSqqaZlQRjR0KBymUBWniHDFqdpN9ZP9yuWLEb6lYHHY9ONw0OqfMQ9po1E2eHbpqHvEY9/uhu5g3+MP6P9rwPe5tldpshxsDdxjO4AQiyTlMU6wsHVvEqRMzOLEYw2SE9ijleatLcSFB5eF9denHaw1Sa5qa0GpFkmULB9nIi0xS+2leaV9ybWJrbYpbufciKkQMjASB2KgEiqPvUeZxYiuW/YxeDy+JPRYLhXvz4j7fLgfkIDPitu9uPmi3e5j9h3vs21G2Wfkoda0eON0B+EJRhJMykCxBMRZBLBJEJOBF0OuGz+mAk75AOjCMOAx7lHPsv4+mu0FtaANDmzgqqV6vGVscBSzftcUu/WOrZc1VK/YolQLiU/cHYs/LfSnK68CY1NDaUd/5Btlv/hUbmylcz3rwP6sXEZw5adXQnopgKeniXl1U03cPqKH9qamhvTjvwumH1NA6L/0YUx/9HAtLUziZlBpamXeUzqlTQm6TUffVVdz56210JqYR/eV7iC7NYyJm1dAeZpeDf5fBLJ9/LsWJidjn5udMbdNIQL4M5N7JPZWBYKb/VyZjpusSJy7vSa2C3Gdp5pUmf2kevLeij8vz3Jp35Zzy+ZJ3MhBNmnelOe/S5Uv4SLocHFYNbWtYQ7t1B3/+fFhDW/6hLgetYQ3tIpZOH8d//eUSTi9GMBH8fpeDtVYCV+7V0HpxftaDySCtuSlCbQCnNEXae7D3ynA3bqGS3cFXqx4sZ8IoduM4d3YGb51PIBxwmRpa6Q/+uIzuy6jLgfSDlv6oUqs0qlmS5lB5PSrFrVyziAKpEZM5aGU2AxE3InjEH8n9FpsMR8KmK0xYZpigPQZon/IsiT1Kf+bDxohAijq5Dpmj+dr166am9m9//Wt88OEH9IeH3OWgeB13b36nhvY//QRnLs1jmrsd3OVgAe3QwrCGdhYx2oyzM+xy8NVvsf6FVUO7E7iMysSP8CYDqI/PuDEVdtK2+szfFjrVXTSyK9jLt7FV8GG1kIQ3nMQ7F+ivpvyI0MYPq8uB1NLKFIFii1KLKbWb4mtMbftTlyuHi/gWuafSWrByd9mMLRD/KN9DureILcozJP4xSnuMxqKmdlZqnMVfLS4tme4x4jPFPp/KNhRFGQdBKzNy2lDbuoLMlfuC9nfVC6bLwX/68TTePhk1XQ5ctjYqqWWs/uUPRtBu5PrYnP5bOI79BJeOi6B1G0HrcohDHgrav2zj9o0qHBffxdSHwy4HFLSnAjJxOQVtt4z8xg42r63i7l9uGUEbeY6CVvrQfv311yyAIzh+4jguXLhgmqk6nRffh9a4VV6bOGsppOXeyjQ0m5ubRjxmKWwF08+STlr6iEl/RekbJv1pRUT4eP+luVpqcg+77JF8k2uTwUGSZ199+RVC4ZBpwjuUPrSSAyzA+60cHOXrKG7dxV9GXQ7KAcy/fxkXfzUUtJ6hoN0cCtqtFr6goP2suIDFU8fxXz48ZvrQJkNOeG09lJa/xton/989QXs1+DFCFLR/d86P83M+zEScUq0j/3n9Ig9kGq8iHNVbqOZTuLYdxFohhko/jjdOJXH+dBhBn9MsUSpjeh6XUeEptidTX8kgv1KpbJYPFjEodhiLx4wQG93AQ76Nj83IHuWaRcCKDV755oolIHj9UuslQkjEt4iDyalJY4uSpM+iBIgeiguX6XYgA6GeWnMdiFyX2FmlUsbGxib+5be/Nc3Ph9qHltc7aGYtQZuXLgdb+M0nDOiGgvaN//gTnH5rAbPcL9IswpWTLge/p6C9YwTtrZbV5eBnFLS/pKCNmz60VpeD9Jf/YnU56FDQBi9R0L6LN0/O4uM3fJgO2+FzdDBo11DPbiG/eRt7pR5SrRh2BosIxCfph4OYS3oQph1KV+6nNRTJG7mPn0sf2i++MH1opZ/p+YsXMUm/Iv1RpVxxDsuVl2GP+7+e3HMpB5fv3sU3X32Nzz//3AyKFRHu8XiNT5IuBsmJpNV/luI1ye8hPjLO7UH6TxP8027FVymK8nQcbUErS9HI+uVMlY0rSH39e6xv7OJ6zo1/r54zNbT/4cezuHwqiqUJCgVHExWKjpW/foK1m8vYyPewNfkxnMfexcXjcVxY8FLQtuG3baO0t4qbn1HQfrqD27fqcJz/EaY++BkF7QxOTQVxKmyD39lCr1Oi897F1gsStL///e9NP8bZmVlTAL7/s/ePhJMTQStT0YiAkJo8ERNSQyaFigieZELE7BRmKCKlZlRERGw42EGmVnqeyLX9gfn229/81tRwnHnjDD7+1a8w98yClve120S/kaV4uIYcC/FPvyzhm+W+qaGd/ellXPjoIhanwpjxUtB2yhhsfoHs7c9wfauJr9IhfFmex/zJE/iPHxzHKQrayZCd9tdGeeUbrHzyT1jfzmO9Fcf1wAdG0P76QhgXFnnuuAduXrMUnNL7uC/X0SygX7iDSj6LlVIMe60kmo4Ejs+HKZZ98HlklLoleh6XkbAaCVpZNENqP5eOHbtX+EqSGrGjhDTVyuDET//6qRlNLs39ct284cbnSA3YzMyMscWZ2RmmWWtQGIWDCI3niTSLy1y4//0f/tFMsv/xrz7GLyhoLz+roDUwyKln0C2uoZe5avrQ/vavQ0E7u4RTv/4pTl8+hnlbF9FWwdTQdpb/DVvLd/CH1BTutOaMoP3Jj0/jF+/MIRGww9OpoJvfxt5Xv8PqV3/GSmcau4ELqE68gzdOL+CjsyHMUNAG7U3Y2lVUdteRWr6FVLmPdDeOPdcxBOkX3zoZoqD1IUJB6+bjJiuRP41f3C9ov/ryS1MLL8HpT997D3Pz80gwMJHazqOE3FMZoPj5p5/iT3/6kxG0Yofi/2SApYhX8Y/yPcQ3ii1KDa3U3iqKcjg8TSn/ArCc/aDfxaBdR7+WQ6OYRT5XQCZbRDaTRyWbYsGeRq5QRDpfQSZXQlm2ZXe5nywlWua2CvKZPRTSOygUMiiUisiXq8il88jv7CGf5rZiHoUaz1ngufe4PVdGqdpEQxZY4HWInH4WsfqqYIKXrsxL2Tc1CseOHzMFzMd/8yv87d/+LT78+CP85Kc/xdmzZ81AB6mRkME4z1vMjjjceyT2xzP22xS0NXQbJdpaDrld2qBM/VSUJZXzFPQF7KWKxp5KhRxqFXkvj1SmgDRttJDLolZIo8z992iPadqoWZ41v8Xz7dLmSkM7LaKY3kWJ9psvVWiPbVRaA3QYz1lD6cQKu6aWvlQYUHwyT+1ehBMBTM2HEIlLraPd9F98Wpn0MF5O/dcPI/18Bbk+EYkiwN9+5x388sMP8bd/92v8DW3yvfffw/mLF/jekqmdfRFiVnheOWYb0A56TXRbFdTLBeT3ssjsSvcf2mOJvquQR3qPNrlDe2KAUi5luZ22ly1ge492ms2hzGCoWsgimy9hJ1el7eW57x63y6IoYqc140vFzou0R+kTnKswAJMVFLvSymKDw+2Ayy/Dvrpo8zko3r2LzO1lHltCttVBmft0DtsSRxUio9cjhIhv6TPdH9A3hsM4NrLFjz7E3/yatkgf+YsPfoF3fvQjnD592gRa0vohwbeiKIfHERW0Q2Ruzh5FbcfqaN9zeDFwB+Dx+hH3OxD19OGwSWf7LprtjlnTXEbDDpxeOHxhuANh+Ol8A442XJCBTNyn00OTzrnd5PntbrgCfvgT0i/LBTc/z8FzodczKy+ZXqtD/3nYQuFhjD5HBKSZbJ/X8rIx18IkNZ1S6yC1DcdPnDB9VcVJX377bZy/cAEn6aylVtSIWen3yf3luOeJnF8KlH7vsPsYS1cXnlPmhOV96HTtFJhumowX/qAP4YisBGaDnSJzIKspmYFJtK+BHS27DyzxKaA8SATtCEnlppyjw/fb3K/V4J+0U1cAdl8Ebl8AYc8AIUcLDorXXp9ilrddFl2S+Wn7PTmmaVZuqjZdqHeDcHiDCEcDSCa9CAWlCd0Ss4eV3ZKv8r0lX4+CDe7H2COvTexLasCMPR4/brqavPXWW0ZMiG2ePnPGBFeyYpbYrdTSP297FGRuXMk7uXcjnt1/yHXTJs28sHJPbGh3nejbPPAGfBRSXgSkqV9azBpN2iOFL+1RVu5qwouOMwS314cQ/VzYZ4PLTh/YltXAWib1uG/fQUP1xeDyheDzuhByykwv3M7Pk9UTe7Ttgd0FJ/2vl4LM62cgRZ9qy6XQzuygWqujTMOt8VJ7h5zN9+zRfHc+I0fEJuU65LmWWTfEvqS16vjJE7hw8aKxw3d+9LZpaXuTgb7YqLR6iJgV//j0tfSKohyE4+/J8PenYlRASIQqzSzS9CcP+cLigmlaMYMwnri5d/igmwKB5+erCNXuwEEBEIUnOoVgch7zc9M4Ph/HRIyCgI6aGpcOX5ZJoNPlfv74NKIzS5iZncbCVASTUT8i3M9DEWzjuQZ2P3VHDIHYJCYXud/8DGaSYUxEfGY6G69TvHgTrXIVlXQR+a0c+oEgvEvz8EbDLEA8CPNSnzXOFscmjlqaTKU5X6bGCgVDJv/mF+aPRJcDuc/iuGUwTYTfPZlMWH3B9s2j6JP+ibzfUgsm91zSi3Dacl0y5ZQsOSl5Jf0/pfCQfpTCk1/HPvtjMoUpI5wexcPAE4cnMoHo5BRmj0n3iiQmKSaiFBN+lwzI4iEMlByBBHy000hyGosL01iaSyBJuwp7ZT/p52qjPTOgCiURTMwiMj2H+dlJHJ+NYoJ2GvK5wFPCPuig06iiVauhWWug2qawdgbhCTPPQ7KGv5f72eEUscPvKF/zib7pMF/E9uTZ3eMzLAFChPdUmnXlvko6arVJUkM7WllNrk9qvaSfrPRTlIBK7r2IBumX+KLtUcSN1MRfv3YNmXTG2KLMKS39yyUfxZ6e/DrkxoqvlSBfhJ3UTdPXuUKwBSYQmZzG1OwMZmlrMp1ggqI14KRwlYUTbA7Y3GG4onPcT+ZBncLC/CR9XYiBlM3YmUu6qjCcsnsY3CcXEJ1awASvd2E6gbkJBk+0Ry/tzCWNA9x1wLzkY4d2vYtWoQqXh0L5+Az8sbBZojzI/WQY4dPktuSN+EMZZCXLbMsAK+mnL90N7g025X2V+3kUGIltuW4376+f9ih+UcRrLBa/N2+u2KPYoviokT0qinJ4HFFBO0R8uDhkWZrR6YMrEKOQnUZieh6zc7NYmp/A3GQEiTAFAJ2o1+2hYw3AE4ojnJxBcnaBIpVCYSaBWTrveMiaYsbtYkHnpWOkmIhMsCCko5xbmsMcnfdUPIBY0A2/m87bLk18LTRLVZRF0G7n0BNBu/h6CVq5PklyHf6A3wgGcdT7JwQXRz3ab5ReFIcvaEeIAYr90YbdFHWBuAmSEjOzJvhZmJ+iKKD90a7CtAWfh4Ke9ucNJmh/s0hSpM7O007nkpiZiAztz2MGirg8tCPaX3RyDhO001kGZ4uzccwmQmY+Wb+bYsTRw6DTpP0VUS/JtEBt1BmE9YMx+IN+BH1uBLmfrO5kfT/mu/x8gq86ypdxErQj+zL2SHFjBtwkGWTEokb4jLoWjPYbpRfF8xG0I4YClf7Q6YvAG2HQNDWHafFztMfZKQb4ET8DLAorD32i1w9PgM9pfAaxafpD+s35uUnMTTHPjN+09vN4abfiXxlcJWYXMc395mboXydC3M+LgMdBe7RWHLPJIE8Xg7su5XWzg365BJcEaibQjxhBG6ZNUis/FZI34yRoecHmWuSaxB7lGsUmpSZWhOxosNd+W3z6+68oysM44rMc7EecwPDXB5AqMfN/yOPsxx2s/wfDa2XMzfNI010JueEsB3f+egttCuXoB+8hemwBk/EwFp2A3yZN8sNjnwJxbiLKZGCODG6SqZNmpmdM/v30/feMQ1QORuxKRrf/2x/+Df/zX//VCIbDGxS2n4fZzH67IlJYDX99kMffT5a+HZg19BtoVksMpNIoFWqodWxohafgiDIQY8AVZgq4HXB43LAxmJO1+F38ms6DT3wgo4L1u4PCZCohCaikOV9q4uU5Vh4PmVRfZl74H//4jxS1182gsEOZ5eABeLz1/zt8x86eYL/vXZI4Nem3S3uUrgvSFUaS1BTbbD3UKNbz6xvYu3EXdacHrnd+jMDsPGKREGYY/4SG023c/4zHQ/JGgqr9g8KkBv4nMiiMz7T0h5ZgS55rRVGUEUckxH0U4o0fJlKF0fujNNz8PfbvZ/56OPKmeOFeB/12DZ1mBY16GZVqFeVqjamJWr2NZtvq7yg8qdNWxoWR3TzMZkbvD9Nw6/d53P2kSbmOdjmNysZVpL79K25/ewXfXLuBL67cwNWvvsD1z/+CLz/9En/97Ft8dmUdd3aKyLW6qFOAyGAcscWHn18Ze4wNPewef8fOnmC/7yGClLaIRhr13Bb2ttZx984qbt1awdrKGrYzWWRbQCU4iX5sDgFfAFEGWGHqTNfwfOoXFUV5UYyBoKVLZEEtNW0vLlmOWAZf9GVQWr9n+X+3CzYnvbXs06XwkGQ89sFFhvIq8ALtz1id2FwHXQZRzfwOKnsbyMmSw7kCdrN5ZHa3kdlYxvb6BjY2UljfLiBTZoDV68tMteirKb76HGQ7h5rkI8S/dcFoHr1mCa1qHuV8BnupNFK7e0jvpVEo11CFE53INByJWYT8AURcDgTtA25VFEV5sYyBoH05GF0gfdXsPrj8EYQnpjB98hhmFmcxEQkg5nUiwNxzmGY1o2oV5ZkxliT9dp0eODxheKQ/bnwSielpTMrAp8kkJhMxJOMRxGIhRMJ+BLyyQpjNdDXQB1o5NMQJii06nLAzSRO/9KN1yu8uD1y+APyy8MZEAolkDGG/B34G/NJ31k6/qF5RUZQXiZZ/D8O01Xlgd4cRiM1g4vgpnPrRZbxx8Q2cmElgLuRFXAaOHdhWpyhPgVEAIiAoFvxReJPHEV+6iGNvXsS5S5fx9tuX8NZbl3Dp4nlcvHAG5988hjMnpzEnA8lcDvhpijLbgaI8G2JD4v9YPDCwkhkS3IEIQuGoCaSSiTiiDLLiySkGWBOYn01gZjJMQes2MyFIz9Zh91lFUZQXhgrahyLVDFJLFkMgMYupE2dw5ifv4OzlN3FyNon5iA8JI2ilec7srSjPzsAOu0Nm9EgiMHMWyTM/xunLP8Y7P34X77//Ln760x/jXf7+43cv4d23z+Dy2Xkcn6LI8EiLgc3MuCG2qHpCeWYoaAdOH+CLwxueQCw5idmZSczNUsjOzGFqehYz05NYmIlgJuEzMybI9F/qCxVFeRmooH0kdM1mwIQ1Z+AD6WEDKRTlmRG7s/P/AXZ3YLJsUc1ROVzEolhEyLSJ0sXA64NPpnELBuD3euBzO+FxWd0QHj0ATVEU5fmjgvaRDEz168EDJyQNd1OUQ+WH7O6gpLWyyvNAJKqIVQd1rRtOmUPZ7Ybbac1/bLdZi1uoDSqK8rJRQasoiqI8gmFrgcMBh8sFp8sJpyyyYLdZLVXDvRRFUV4mhydoR17NND2Jkxu+SjuU2Xz/b00Ppv35wx8m75QnQLJrX5Y9kJeaHpn2c2/bd7Yrz8gwT0f5Pcrn8Urf7eYiaShoDzmN8og/7ufbcLuiKMrD0Brao4S01+1rttPmu6dkmHFaBD4+Jq+kzXj0u6K8bEwfBqs7g6Ioyg9xaEvf7u7u4vPPPsfy8l20mk289/77uHDpIvw+v1lXXZZ7VA5GajtkueBCvoB/+8MfcO3aNczPz+Ptd97Gz3/xC13i8Qdo0t5+9z9/h9/88z+bvDx9+hR++dFHmJ2dMWXiaF1/5ftIfsnzm8/lsL6+jq+//trY4qnTp5l/s5iW+W8nJ3X55SegXq/j5s2b+O//8A+4euUqfvHLD/Czn/8cFy/SH/r9xmcqD0eWr5Zn+rNPPzXLqa+vrWFhcRG/+OADLCwsIJFIIBAIDPdWFEWxOBRBK2xvbeEvf/kLbtGRV6tVvPuTn+D8+fNm7XIRZM/wMa88IrY6nQ6KxSL+9MknuHnjBhYXl/DOuz/CBxS0Pi0ED0TEmORLrVbD73/3eyNohWPHlvD+z36GKYoxwSETw9tV0B7ESOjn83lsrm/gm2++MXn65rmztMHFe4JWBIQGpY9G8lJsslgo4NatW/i//sf/iStXruAn7/0U7777Lt48e5bPsg/9nubjoxgJ2i8+/xxXaI8bGxs4ceIEPmSQKsJ2JGhlP7VJRRlvDrPC7lAErRSJm5ub+OMf/4jr166ZmsaLly/hzJk34PV6zQXLSFjl+0jeGUHb7aBSLuOLL77AyvKKqR07f+GCKQjFebc7srCpsh/p19fv99BoNExtzid//MRsl7y7/NZlJJNJ2cnYn537CmqFDyJ9IAf8VyoUsb29jW+vX0ePIuHMmTOYnZvDxOQE4vG4CUytR1hz8GHY+M/usKNcKmNtdRX//E//hNu3b+PipYvmWT5OUSb+cCTCZH/Nze/jcjrRarVw9eoVE9zv7OxgYWER773/Hmb4bEcjUVPT7eB+skSvoijjy8mTJ4e/PTvPLGjFOYsok+ZKqSX78ssvsUsHdIIXubi0BI/bY5z8M3zMK48I2l63i3q9hjt37lJY7CASCWOOguL48ePweDzoag3t95B8G9D+ROyvra5heXnZbJManGPHjyEcDhvRK4JWtivfx+QLH81KpYx0Oo3VlRV0aYsiHETIhmiHwUAQbpd0ObCeYX2SD8YEp3Y7GvU6spmMqZ3d29ujkD2OY8eOYXpmxnTdkOBexKxyMPK8SovV6soy1tbWkWFeii1KkBWNxRCgmHVruaIorwT/7X/9b8Pfnp1DEbTSzCY1Er/9zW/w5z//xQgLqR2TNOq/qI7nYcgoXph87LTbyOXzputBnwJWHLs0q6kYezgjidXr9SluB3B73PD5/AiFgiYQENuUZMkNtcHvMrItqeUulylqKcCkuVfyTp5dU7ttarjVBh8X8yxTkElfWgm4EvSDMQqxEAMsyVP1hY9m1JVIusFIKtEfip1KK4Hkn7wvf6tfVJTx559++5vhb8/OMwtaSVLYpVIpMyjs2vXrpj+tNJMHg8F7zkfFxKOwBL84cREWdSYRt1JTJsJWmoQtQabcZ2RPVsEmwt9LESaTvsvvTiaHg2JWVty6V/ipDX4fy67aFGBie9Ltpd1uSa5admf934f8pbZ4MKOcsoJUyUOZs9XvD8BPMeb2euCw7+8v9mDOKhbyrPYZnNYbddRrddplnb5w1EIlZc7wV7VFRRl7/rf/438f/vbsPJOgFeRwcUAyEEz6OmXSGVPTI01rknQwzuMjTZGddsfU7kgtjyQt9B4PCZykNtHUKFI0yKslZK0CUnk00m9W7K7daln94jXPnhkT7NMuJcAyQdawtUp5NJJHkndij6MkvlDzTlFePf7zf/kvw9+enWcWtCOkNlE68kuS38WRm4E46oOeCHHc0nR+v3ZMBe0PYUyMhZ0UeCaN/pbf1P4eC3EDkoz9HY5LUMjIJiWwl/7cyuMjA76kpnZkm4qivHpMTU0Nf3t2Dk3QKoqiKIqiKMrLQKsMFEVRFEVRlLFGBa2iKIqiKIoy1qigVRRFURRFUcYaFbSKoiiKoijKWKOCVlEURVEURRlrVNAqiqIoiqIoY40KWkVRFEVRFGWsUUGrKIqiKIqijDUqaBVFURRFUZSxRgWtoiiKoiiKMtaooFUURVEURVHGGhW0iqIoiqIoylijglZRFEVRFEUZa1TQKoqiKIqiKGONClpFURRFURRlrFFBqyiKoiiKoow1KmgVRVEURVGUsUYFraIoiqIoijLWqKBVFEVRFEVRxhoVtIqiKIqiKMpYo4JWURRFURRFGWtU0CqKoiiKoihjjQpaRVEURVEUZaxRQasoiqIoiqKMNSpoFUVRFEVRlLFGBa2iKIqiKIoy1qigVRRFURRFUcYaFbSKoiiKoijKWKOCVlEURVEURRlrVNAqiqIoiqIoY40KWkVRFEVRFGWsUUGrKIqiKIqijDUqaBVFURRFUZSxRgWtoiiKoiiKMtaooFUURVEURVHGGhW0iqIoiqIoylijglZRFEVRFEUZa1TQKoqiKIqiKGONClpFURRFURRlrFFBqyiKoiiKoow1KmgVRVEURVGUsUYFraIoiqIoijLWqKBVFEVRFEVRxhoVtIqiKIqiKMpYo4JWURRFURRFGWtU0CqKoiiKoihjjQpaRVEURVEUZaxRQasoiqIoiqKMNSpoFUVRFEVRlLFGBa2iKIqiKIoy1qigVRRFURRFUcYaFbSKoiiKoijKWKOCVlEURVEURRlrVNAqiqIoiqIoY40KWkVRFEVRFGWsUUGrKIqiKIqijDUqaBVFURRFUZSxRgWtoiiKoiiKMtaooFUURVEURVHGGhW0iqIoiqIoylijglZRFEVRFEUZa1TQKoqiKIqiKGONClpFURRFURRlrFFBqyiKoiiKoow1KmgVRVEURVGUsUYFraIoiqIoijLWqKBVFEVRFEVRxhoVtIqiKIqiKMpYo4JWURRFURRFGWtU0CqKoiiKoihjDPD/A37HgytdrA3DAAAAAElFTkSuQmCC)
Assertion If
then
Reason If
is a homogeneous function in
of degree '
' then
For such questions, we should know the formulas related to homogeneous equation. Before solving the equation, we have to see if the given function is a homegenous function. A homegenous function has same degree for all its terms.
Assertion If
then
Reason If
is a homogeneous function in
of degree '
' then
For such questions, we should know the formulas related to homogeneous equation. Before solving the equation, we have to see if the given function is a homegenous function. A homegenous function has same degree for all its terms.