Maths-
General
Easy
Question
What is the percentage change in the area of a rectangle obtained by decreasing its length and increasing its breadth by 5%?
Hint:
i. Area of a rectangle = length × breadth
ii. % change in a given quantity = (Difference between the 2 quantities)/ Original Quantity
The correct answer is: Final Answer:- ∴ There is a 0.25 % decrease in the Area of the new rectangle.
Step-by-step solution:-
Let the length of the original rectangle be x units & Breadth be y units.
∴ As per the given conditions-
Length of the 2nd rectangle = original length - 5% = x - 5% of x = 95% of x = 95/100 x = 0.95x ...................... (Equation i)
Breadth of the 2nd rectangle = original breadth + 5% = y + 5% of y = 105% of y = 105/100 y = 1.05y ............. (Equation ii)
Area of the original rectangle = length × breadth
∴ Area of the original rectangle = x × y = xy ............................................................................................. (Equation iii)
Area of the second rectangle = length × breadth
∴ Area of the second rectangle = 0.95x × 1.05y = 0.9975 xy ...................................................................... (Equation iv)
% change in a given quantity = (Difference between the 2 quantities)/ Original Quantity.
∴ % change in the area of rectangles = Difference between the area of 2 rectangles / Area of the Original rectangle
∴ % change in the area of rectangles = (0.9975 xy - xy) / xy
∴ % change in the area of rectangles = -0.0025 xy / xy
∴ % change in the area of rectangles = -0.25 %
Final Answer:-
∴ There is a 0.25 % decrease in the Area of the new rectangle.
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)
Prove that triangles AEB and CED are congruent by SAS postulate.
![](data:image/png;base64,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)
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by SAS postulate?
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)
What additional information is necessary to prove that the given triangles are congruent by SAS postulate?
![](data:image/png;base64,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)
Maths-General
Maths-
Prove that the given two triangles are congruent
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYoAAAD7CAYAAAB0d9PAAAAgAElEQVR4nOy9d3RUV56o++1zTgVFFACRTLYNJtjYYMAEgzHBmAxCIgjUje32rMn9ptddb8177868u+au2zOrw53Qr+12aASSEAgBBpMMBhwwyYBNNgaDAQESQSir6pyz3x+lcygBtklCVdL+elWrVByVT9h7//YvCymlRKFQKBSKH0Br6hNQKBQKRWSjBIVCoVAofhQlKBQKhULxoyhBoVAoFIofRQkKhUKhUPwoSlAoFAqF4kdRgkKhUCgUP4oSFAqFQqH4UZSgUCgUCsWPogSFQqFQKH4UJSgUCoVC8aMoQaFQKBSKH8Vo6hNQPAQkICQS4X4kpETW/xr26SM+MYXiJ5A0GJbhFUrFD3xyt18LIKTzf/f+HYqbKEER5dgWgIUmapDCi4UX3ZYIzcRCItExpESgqzmiiCwkICXy5rKOjeDmlsdGwwbbwrZNdMPgxo1Kzn5/gWPHTnDp4iXMoIXf66Nr16706NWTLl274PX5MCXoSAwpQ5NEk6H/oPCgDCn3jhIUUY4UIM0g2DeosWOoseJJ8nnQMLE0kAg8NvUTRUkKRQQhJEirXquoFxICbFsibQtN2GgaCGFj1lXz6bYvWJy3nJ279nL+/CWqq6oBDQ1ITmxF+y7tmTJrFhnz5tO9WzcsS6IJ0AQgLWxhIdARSlDcM0L1o4hubAkadWzbVMB/+++/o2O35/n/fvevtGsXQx0SiQe/bYPQ62eMQhEphHb7EuoFhYYUAtu20aSNwAIssG2W5eXzz//v/+Dk6XMkpSbTpWsPRg4bTlqbdnx14ABffrmH8xe+J2DbvDh2PL/57e/o26sXhgRNWEAQhI0QPkBv0quORpRGEeUIAVh1XC29yJEjRyi9blBeUUG79gkgbUALqR1KRigiEkFDPwSh34VESBvbsvjww438n//X/+BCcTHjXnmFX/7D/8HAgc8RGxMLtsQKmFwpvcSK5bn8x3/9gR2bNvFv//PX/Ou//ZpO7dti2gJpC3TdUCLiPlE6WLQjLRAWQrPRDA3N68WWAFqYc1ugJIUi8giNS4FwfdqalAgp0bDRdMHF4nO89fa7nDt/mcFDR/Iv/+vXjH5pDHEJcRgege7R8MV66dr9Mf7mb97kL99YRKLfy/pVq9i8eQu1gK1pSGGAraO0iftDCYooRyBBswELhMSWsl5QgCa0UMCHMi4qIhUR9saJ0pNWvTYMXx08wBdf7Ca2VRv+6pe/ol//fti2FVq4pI2mSYQGprTwxfrJzspiyIDnqKi+wfoPN1BeWUudlAgR0qyVpf3+UIIi2qmfXDfHv4bUbg2IlbeECCoUEYJ0tF1nzEo0TaBpgBXkm+PHKLtRRteeT/L0M/3qBYREINGEQEiBEAJNCMygSZv2HXhxxEgM4OjRI1y9UVZvn3W0laa4yOhHCYpox5losv7VwOQE9TGIuEkVCkXEcVNIgI20Q9px5Y2rfHPkGAAdH+tE69Q2SMAQAp1QIJ+GQEgdiYbUdDTdS6/HnyQGL2XXrnH1aikaIGwbYUtXaCjuDeXMbg5IDXHbzgxwRYZV/7vaFygii1s3+MLRfm2bG2VlXLxwAYFB586d8PqMkHKMHYr2Dnk1EFJgCg0ZEh/ExyTg030Eg0GuXL2GRv3It+3QS1fz4F5Rd6xZYOM6I6TNzeknb9fsFYpIQd4clkKCsJ1f6tPtpI2FxOvVade+HZoubuoeYb6GkCNcBwywBbaUoEt0HSyzDgGhz4SaCPeLEhRRjqzfgUnNBmwggE64B1sjFOmhJogiMmm4fIeioNA0pG0TsCxMKaipC2DbEhvHwnqzwIcUoXmg4QHdQBoCCwvbDuA3tNB3Sw1pacr0dJ8oQdFMEIh62XCniaAmhyJyuT0wT4Bt4/H6iPHHYgVr+f7sOSzLRohQ4IZ0ajjVvwQSgQm2STAQJBi00XQfycltb45+Q82D+0UJiqgnZKcNU+Kb8FwUinvAicHAicUQIac0ADqJCUl06tAOgJILF6irMW8e7OyLCGnSQpjoohYIcOb8OaqlTVKr9rRNSQsdoYHU7LC6Uop7QQmKqKdeUEit4axrgIp6UkQmUkhsTWIL6l8C2w4N47i4RHp2fxwBnD/7PSXFxRiiXnt28i6ERAgbDROESU3lDb7Yswsbm359B5DcKhnTBClspG6HOUIU94ISFFGElBLTNLFtm2AwiG3b2JYdKocTChQM/U/ZYRVRRSgs9iYiVBXZ4+XpZ5+jQ5s0zp89xYb167Ds0J7HsmVIoNhgWzaWbYOUbNy8iY8//ZQYfxvGjR9DqwQvBiA0iSWk2i/dJ0pQRCGWFQp3DQkNQOrYFiG1XYaKqt1EpWYrIpj6kh03EQhNQ2ihUhv9nn2WUaNGEqi9wX/9x29Zs3oVpmli6F50zYtAR9e9SEvjk22f8S+//g0l10p5+ZWxjBs/Co8Ab70WIpU2cd+oPIooQ4hQGQJd15FS1gsKgWnamJZEeL0YHk/90fKWnwpFJBHySDhywolostEQQiJtSE5tzV/+zV9w+NgRvjp8lL/7279m3/59DB0ylA4dOqALjcsXL3Nw315yct7l+KkzPDHgWV7/69d4rHMawnSqOwlsqXqy3C9KUEQVwhUUFeUVeLwe/P5YzBqTo4eOUFtTS6w3hoS4eJRwUEQF9YFL4aPVyQTShIYUNs8PHcT//vd/5d/+7fd8vO1Tfv0v/5PY+ARat2mHgUbJ5RIqq28Q64tj4rRZvPnLv2HEsOGYpoWBVq+1gKZpqhfFfaIERURzh/LL2NiWyTvvvMWRI8cYMWIUV4rPsXrNVjRNZ8BzfUlIjAnl4AmnhLOTzaQmiSKCcMOdJELcLDiuaRqWZSMRCE3HxmTkyBH06Pk42z/5gs927mLPni8puXwF2xI81acPQwYNZvCQIQwZPYLUjm0BG6HV+z6kQENgS6HyKO4T1bgoorEIFxZSSizTJFBXx3//v/8f/us//4uAGUpC8vu8DB0+gn/9t9/w3ID+SGm7NllNSkAHoQSFIoKob4XqFrakvuiMIKzKpawvQk6oAiyCoGlSXV2NZZqAwOPxEBsbi15fmsOq/04hqQ+2DRMOSlDcF0pQRDQNBQVSYgWDmKbJ+XPn2LRhI7v3HcAWBs899xxjx77Mk0/2RNeN+vngZGs7uRZKUCgUintHCYoIRtYLivA9kBkMIiTohoFlWQQDFlIYGF4Dj6ETCATxeBxBER52qKyMCoXi/lCrR0Rzs55N6I2st9uKkA1XgsfrRWgGtrSwLBOQSKdRC6C0CIVC8aAoQRHBSAm2Y5+tN7Vq9fHlmiaQtsRGIjSJsEPRUB43NBZU2VhFNOIYOZyfQqgk0qZGCYoIRhJqbQoCywyiaxoew3OzqpPm6AsyrMa+mlCK6MZJKA3PGVI0LcouEcGEqmSGat8IzQC0+jo49Y5pqYXZpcL7UIR/yZ0/VigiGUeLUC7UyEAJikhGC8V9OzssxC319F3L0g9IA/kD7xWKCEYIwfnz57l8+TK2bd8c/4omQwmKCMTZRelolF27zoaNG6iqrEQI0MIEhZSy/thb81rrUVYoRRRSV1fHn/70J/Lz893PlGbRtChBEWGYpnnTRgts3bKF//arX/H5Z5/h0XQs00TaNrZt10+e8BwJ5bxWRBdONWTnBXDw4EGWLVvG+++/z/HjxzEMo76uWegY528Ujw4lKCIEZyIIIdA0DSkl169fZ0VBAadPfsvSxUuoqKhwoz8cYRLaaIWayt9RUKie2YoIRgjhbo4syyIQCLB8+XJOnTrFsWPHWLJkCXV1dcBNDVrTNBUF9YhRgiICcdTsDRs28MknnwCw45MdbNmyBV3XsSzLrR6rVHJFtOM4rYUQHDt2jLVr1wKhzdDmzZs5evSou3lyPlc8WpSgiDCccMDi4mLef/99rl27hq7rlJaWkpOTw+XLl91J42ggCkW04kQ3eTweampq+O1vf8t3333njuuTJ0+ydOlSgsEggDI5NRFKUEQQ4ZPgo48+Yvfu3e5uS0rJzp072bp1q2ue0jT1+BTRjyMs9u7dy9atW5FSkpCQQGxsLLW1taxdu5ZDhw41OFbxaFErTYSh6zrnz5/n/fffp6KigoSEBJ555hl8Ph8lJSXk5ORw9epVZXZSNAuccVxRUUFOTg7FxcVomkZ2djZTpkwBQlrF22+/TU1NjfJPNBFKUEQI4U7qDz74gD179gAwcOBAfv3rX/Pcc88BsH37drZs2YJlWUpYKKIe27bRdZ3PP/+cDRs2IKXk8ccfZ/78+bz++uu0adMGCPnrvvrqKyUomgglKCIExzfx3XffsXz5cmpra/H7/cyePZvRo0eTnp6OYRjU1dXx7//+71y+fBld19WkUUQ1QgguX77MkiVLKCkpQQjB9OnT6devH4MGDSI7OxshBJcuXeLdd9/lxo0bTX3KLRIlKCIEIQTBYJDVq1eze/duAIYNG8b48ePRdZ2pU6cyZMgQAA4dOsQHH3ygnNmKqMcwDHbt2sXGjRsB6N69O7NmzcLj8RAfH8/06dPp3r07gUCAtWvX8vnnnyutoglQgqKJkFK68ePB+mZEpaWlLF26lNraWhISEsjOzqZr164Eg0E6depEVlYWCQkJVFVVkZeXx7lz5xBCuMl3N5PwFIrI5FaT6dWrV1myZAnXrl1DCMGiRYt45pln3HH9zDPPMGPGDPfY/Pz8Bj465/sUjYsSFE2EE+Hk/LQsiz/+8Y8cPXoUgJEjRzJu3Dhs20bTNDweD2PHjnW1ij179rB69WpM03SFzq0ZrgpFJOEs7lJKN9z1ww8/ZPPmzQA888wzpKenuyZVIQQxMTFkZmbSs2dPADZv3syuXbsQ9TXQHM1CCYvGRQmKJiJ8gAshOH78OGvWrME0TVebaN26tXusZVl07dqVzMxM4uLiCAaDLFu2jLNnz7qhso5WoVBEKk64t8fjobi4mKVLl1JZWYnH42HOnDl06tTJ1RKcOdKvXz8yMjLcyL/8/HxKS0vdMe9kdSsaDyUomghnUdd13V30jx07BsC4ceMYNWqUO1nC6/O/+uqrDBo0CIAvv/yS1atXu8JB13Xl4FZEBVJK1q9fz65duwB49tlnmT59ultxAG5upjweD3PnzuXxxx8HoKioiE2bNqFpmjv2VU5R46LubhPh1KzRdZ1Dhw6xfPlyTNOkffv2zJs3j9TUVHfChO+c2rRpw5tvvkmbNm2wLIvFixezf/9+dF13fRRKDVdEIs7Cr+s6Fy5coLCwkIqKCmJjY1mwYAHdunW7rZaTM+67devG3Llz8fl81NTUUFBQQGlpqWpq9IhQgqIJCG/1WFNTQ2FhIadPnwbgpZdeYvjw4a5vAm5qCs7vL7/8MiNGjABwhUwwGHQnl9IoFJFIeOXX1atX89lnnwEh38TUqVNdARGefe2893q9zJ49mz59+gDwySefsH79+gZahaLxUIKiCXAGv67rbkllgLZt2/Lzn/+clJSU23ZW4R2/UlJSyM7OJi0tDYB169Zx6NChBoXTFIpIw1nwz507R15eHlVVVcTHx7NgwQI6duzYwC9xp791fHSxsbGUl5eTm5vr+ugUjYu6w02As5hXVVWRm5vLuXPnAJg0aRJDhw51zUd32ik5UU3Dhg1jzJgxAHz77bcUFBQQCAQa2HgVikhDCEFBQQEHDx4E4IUXXmDy5MkNilzeKiwcP52TT/T0008D8MUXX/Dhhx+6/SoUjYcSFE2Ao03s3LmTVatWAdC5c2cWLFiA3+8Hftg559hsk5OTycrKokOHDpimyerVq9m3b58qmqaIWIQQHD582K08kJSURFZWFmlpaW6o6518bI52bds23bt3Z/bs2cTGxlJZWUlBQQHFxcVqzDcySlA8AsK7czlaQnV1Nfn5+RQXFwMwc+ZMt57Tj6nS4c67ESNGuFrFN998w+LFi6murm4waZRzW9FUOOPdGYOmaVJUVORWgh0+fDjjx493x7tTFflWnI2V8zMrK4vhw4cDoXyivLy8Br0qVOLpw0cJikdAuCkpvGS4k2jUo0cP0tPTiY+PdydLuPM6nHCNIS4ujvnz59OlSxcANm7c6Kr0juNQxZcrmoLwrGlHYBw/fpzCwkICgQDJycmkp6fTpk0bhBAYhuHmA93J9OT8FEKQmprK7Nmz8fl81NbWkp+fz7fffgvcFBQqY/vhogTFIyA8LFAIQVlZGTk5OVy8eBHDMJg+fTqDBw++6+8KD4UdM2YMGRkZAJw/f57f//73VFRUNIhFVxNG8agJD75wMrHz8vJcbWLs2LFMmDDhvr9/3LhxrjZ95MgRCgsLXW06PKpQ8XBQguIR4UwYIQQfffQRGzZsAELaxPz58+86csP5Dsdmq+u6WzhNSsn27dvZuXNng8ZGKnxQ0RQ4i7ZhGBw5csSN7ktKSmLBggW0adPmvhfzDh06kJGRQVJSEnV1dSxfvpwzZ87g8XiUgGgElKB4BIQP3Bs3bpCbm8uVK1fwer1kZmby5JNP3tViHr5Tchx8Ukr69u3LrFmz0DTNbZl69epV91gVPqhoChwhUVNTQ05ODmfOnAFg2rRpDB06lGAw+ECL+ujRo12t4vDhwyxbtozq6moMwwBUPtHDRK0gj4BwG+uGDRvcRKMBAwa4tta7/Z47JSU55Zidwmlbtmxx26iC0igUTYMz7vbt28e6deuQUtK+fXvmzJlDq1at3AX9fpBS0qFDB+bMmUNsbCy2bVNYWMjJkyddbVuN+4eHEhSPCKf5Sk5ODteuXcPr9ZKRkUGvXr3u2fEWLiQcZ+HAgQOZN28euq5TUlLC22+/TWlpqdIoFE2GYRius9mpPDB16lQGDhzoLub3u+t3/m7UqFFMnToVgBMnTlBYWEhdXZ0KE3/IqBXkEeAkDH344YduEbRnnnmGSZMmoWmaWyr8frFtG8MwmDlzpqtVbNq0ie3bt+PxeB7KNSgU94oQgl27dvHBBx8A8NhjjzF79mxSUlJcs9ODjHvLskhNTeWNN96gXbt22LZNTk4O+/btU76Kh4wSFI+I0tJSli1bRllZGTExMaSnp9OjRw8sy8Lj8dz37sdRsS3L4vHHH+dnP/sZXq+Xuro6CgoKKCkpURqFokmoqKhg6dKlXLhwASEE48ePZ/DgwQQCgQfe8TutgwGefvppxo8fD8D3339PQUEB1dXVqmDgQ0StII1AeIMWJ4x17dq17Ny5E4AhQ4Ywc+ZM19/wIDuf8Mgmx5z17LPPAiFfhZP57ZzXnd4rFA/KnUrOfPrpp6xfvx4ItTj9xS9+4VYeeNBy+M7csSyLpKQkFi5cSMeOHQFYs2YNe/bsaXBearw/GEpQNALOwHRMSqdPn+add96hpqbGjXTq1q0bwI8m190NTvc7xzHYpUsXZsyY4RZOc8IGHc3Dqd6pUDxMwisP2LbN9evXycnJ4dKlS+i6zrRp03j66afRNA2v1/tQxn14gt7gwYOZOHEiuq5z7tw5CgsLqaysdAWFk4inuD+UoGgkHEedZVmsXr2aI0eOAKEiaBMnTmxw7IOq4beWZZ45cyb9+/cH4PPPP2ft2rUAmKbZ4NwUioeFs2A75fG3bt3qVh7o3bs3c+bMaRR/mTOOY2NjWbRoEZ07d0ZKyZo1a9ixY4d7Xo7zXGkW94cSFI1AePe6EydOsGLFCmpra0lISGDRokWuitxYdO3a1Q0brKurY+XKlVy4cMG12ToTWqF4WDiLsK7rXLlyxfXHOZUHnnrqqUY/h/79+7taxfnz51m6dGmDKgV3Kg+iuDuUoGgEnDIbtbW1rFmzhv379wOhUL7Ro0c3+kIthCAzM9MtC7Jnzx6WLl2qdlSKRiN8Ed6xYwfbt28HoG/fvmRmZuL1eht9c+L1esnOzqZXr14IIdi6dSuffPLJA+VrKEIoQdFISCk5duwYeXl5BINBUlJSWLBgAR06dCAYDDZqJJJlWbRt25aMjAzi4uKoqalh5cqVnD59Go/HowqmKR46jvnz4sWLvP/++1y9ehW/38/s2bPdygONOeacfKGnn36a9PR0hBCUlpa656Jqnj0YSlA0EpqmsW7dOo4dOwbA4MGDGTVqlGsvbcxB6/hGJk6cyLhx44BQ4TSnL7eaMIqHjeP32rp1q6tN9OvXj5kzZz6Q0/pez8EwDGbMmOH66D777DO2bNmizK0PiBIUjYCmaezatcstgtauXTv++q//mtatW7u7+cYWFMFgkE6dOpGRkUFKSgq1tbUUFBRw/PhxDMNQtlrFQ0XTNEpKSnjvvfeoqqrC7/eTlZVFt27d3M1JY485J+Kqd+/eTJ8+HZ/Px+XLl1myZAmXL19WyacPgBIUjUAwGGTp0qUcP34cgBdffJEXXnjhkfWGcJyKtm0zduxYRo0aBYSaGzlahUrCUzxs8vPz2b17NwCDBg1i+vTpDWqTNSbhkU2OVtGvXz8APvnkE7Zt29ao//3mjlotHgLhCXYQch5v2rQJKSWPPfYYCxYsIC4uzj2+sSeN0zTGsixSUlLcImymabJixQrXHKZQPAjhWvGpU6coKiqipqaGxMRE5s+fT8eOHR+ZmTO8/4ppmvTt25esrCw8Hg8VFRW89dZbXLx48QfPX/HjKEHxgDjJPM6rtraWZcuWuUXQxo8fz8iRIxt08ArvFdEYGIaBz+dzoz3Gjh3rFk47deoU+fn5BAKBBolIqhOe4m4JT9x0XmvWrOHLL78EQtrExIkT3ei/R6FVON+v67obBj558mS3SsEXX3zB2rVrG3R+VG2C7x4lKB4C4WW/v/jiCz788EMglCW9YMEC4uPjbzvuUZyTI4xatWrFggULSEtLc81ie/fudZ3qqiOY4l4I71wnpeTs2bPk5uZSXV1NUlIS8+fPp1OnTu6x4eXxG5NbBVK3bt3Izs7G7/dTV1fnVrENd2wrB/fdoQTFA+KYeXRdp7q6mvfee89t0DJhwgSGDx8eEYNx4MCBbkZ4cXExubm5VFRUKF+F4p4Jr2NmmiY5OTlur/bhw4czZcqUiAnBnjBhAi+++CIAu3fvZtWqVa42FAnnFy2oVeIBcbp4AXz55Zd8/PHHAPTq1Yv58+dHTPx2fHw82dnZblb45s2b2bVr1wP3BVC0PBwNQdd1jh8/TkFBAbZtEx8fz5w5c0hOTo6IzZGUkk6dOjFjxgw3n6iwsJCzZ8+6EVBq3N8dSlA8BKSUXL9+nd///vcUFxcjhGDOnDkMHTo0omz/AwcOZMaMGWiaxqlTp1ixYgXl5eWusFAo7gZn4+OUsj958iQAr776KhMmTHgkobB3g2VZCCGYPn06Q4cOBWD//v188MEHbt2zSNjERQNKUDwgjr3zk08+YceOHUCoCNqrr76KrusR02FOCEFMTAyZmZl06dIFgNWrV7taRTAYbOIzVEQLjh/g4MGDrFixAtM0adOmDXPmzCElJcUVFJEiLNq0acPPf/5zEhMTMU2TvLw8Tpw4ETHnGA00/QoW5ei6zuXLl1m6dCllZWUIIZg1axZ9+/aNqF2Lcw4DBgxwI1JKS0vJycmhsrISwzAi4jwV0YFjxjl16hQA48aNY8SIEQCuoIiE8eQEbIwfP97NJ/r6669ZsWKF20BJ8dMoQfEQ2LlzJ1u2bAFCZQtmz56Nz+dzbf+RMGEgFOHh9/t544033GqemzdvZtOmTQ/cSEbRchBCsH//flauXImUktTUVLKzs0lOTo4oU6sTKmvbNklJSWRnZ7vVEXJzczl06JAa83eJEhQPyMWLF1myZAllZWX4/X7mz59Pr169XPsoRJbDTEpJnz59mDJlCrquU1paSl5eHteuXXuk5ynrX4roo7a2lpUrV/L9998DMHHiRIYMGeLm5DiRgE2Nk+PhbNRGjBjh1j47c+YMhYWFBAKBh/Bfqh/NUt58f8cRHr0jXgmKe8AJCwzvlrVx40bWrVsHwBNPPMGsWbPc3bnH44mYGvjh9lhN08jMzHSTkXbs2MHGjRsbhDw+SPFAywIrKCFYBXYdBADbQlIDtgQLbMAOi8VXyU+Ry63tRD/++GO3jlnnzp15/fXXiY+Pb5BgFwnj3jkHx1fYunVrsrKySEtLw7ZtVq9ezYEDB4BQ2R1HsNwVErAAy0LKQP04r8U2azFlDdKqhkAt2CYSE0kACIA0kZaJZdtYpo00CU2GCEcVar9HnJ2SEILvvvuOvLw8AHw+H6+//rqbaOQ4sJt6sjjc6lDv06cP06ZN46uvvuLatWvk5+czYcIEkpOTG9iY7+f8hbAJXjnHxY+LqCupwleXBASwvNXYdix1MoHYAb3oMPx58PugXkhEgtNf0RBHSDid66qrqykoKKCkpARN05gyZYpbqdXJiI4UwjdHzrm98MILjBs3jqVLl/Ltt99SWFjIU089RWxs7D2NewsQAEISFDYg8WggpY1dU8mVnfuo2n8CLxLTkAg0jKCGrXkxU1PpMHY0vrQ0LNNG9wkEkbFO/BBKUNwjzuCTUlJUVMRnn30GhEJPp0+f3sRnd/fous7s2bP54IMP2L17Nzt27GD9+vXMnz/f3YHdr5DTtBrqvt/L2T/+jupvy9D1TghMTK0C9DiqSKBLxlQ6DHo6JCiIHIGqaEh4ZjXcLNsNIQ16wYIFJCQkRExI7I8hpSQxMZGFCxeyfft2zp07R35+Pq+88govvfQSlmVhmuZdVZm1BUgtJCyCGJgCLMPGI230G1VcWfMhpXmr8fgM6nwahtTwmh7K8HCjZ1fGD+iLt31bbK9AE5EuJpSguCecyaBpGt988w1FRUXU1taSmJjInDlzaN++/SMrqfyg2LZN9+7dmTVrFl9++SVVVVW89957vPjii3Tp0uWB8ipsQNO9xFTrJDw7nFaT5mDFghAVaMRiB2KIf7wLmtcLEBX3q6Uiw7S9q1evsnTpUoqLiwF45ZVX6N+/v9v2N9JxQtmff/55Jk+ezB/+8AcuXLhAfn4+I0eOdG/LUEcAACAASURBVJMI72YsWkgEAo+pIzQIUp+trlkQLMeovEhyt/a0npuF2ToRQRDNErTVPch2bfF0a02tCKLbOkJoEOGiQgmKeyB80qxdu9Ytgvbss88yderUR1ZS+WHgLM5Tpkxh1apV7Ny5ky+//JKNGzfyi1/8wjU13Pu1SAQ6uqXhr/Pif+xJusyYCa008NSAbYCMRUobaWj1DsCG1T8VkUN41N7HH3/M5s2bgZvahM/nc8t1RMuzS0hIIDs7m/Xr13PmzBnWrVtHeno6Y8eOdU1td2UGtSUiIDAkGJpAagaWX0MatQS9lYiO7eg0KRu6JGMLC03aIGxMwyYAiKCNxxYITYcIl7PKKHwPOBPhzJkzLF++nLq6Olq1asX8+fNp3769G+kUDU5Zpwtez549yc7OJjY2lsrKSt577z2+++471/x0H9+MiQfTiKdaxCK1OMDA0v3UilhqdR8BXadONyDMj6Oc2ZGLpmlUVFSQm5vLlStX8Hq9zJ49mz59+jTw2UUDjlbRv39/0tPT0TSNS5cu8ec//5lr167dgyYtQdS/pPPdIb1AShtdmNiaje3VCBpQ59GRugekjmXpSDwIYRDxEqIeJSjuASd5589//jP79+8HYNiwYaSnpzfQNqJh0oTbnl955RVeeOEFAA4cOMCaNWsIBoP3fR06GtL2UuX1YGkSqgNQZ6IHAyAhiEWdAEtKV6OIlvvWUvnoo49cf1y/fv3IyMhwOyVGy+bIwbZtfD4f06ZNo3v37gBs27aNzz///K5NT6772QPBGKjxQ41HIgHd8hBX5yEhUINWdw6j5hK+wCUEV5FaBdIIUiskNR4D09Ai3eoEgP5P//RP/9TUJxFNHD58mH/+53+mpKSExMRE/vEf/5EBAwZgWVZUmZ7gZp/jVq1aIYRg8+bN1NbWcvXqVUaMGEHbtm3vL+oJi+Dpw5R8tBrt6lXs0+cp+WwL1Ue/wLp0AY/QiE3wYnh8IbUbVNRTBHPx4kX+4R/+gRMnTmAYBr/85S/dCrHh4yPSx72UEtM0XW25bdu2XLlyhV27dlFeXk4gEGDChAn4/f6fvBaBQANsIanWbQJCoGPjEUHkjeuUbv8C69C3aBcuUvLFp1zfvQv7zHlEbQB/QiKaz4eQOoYQaFpIG4lklI/iHjBN061pD6ESxi+99FID+/pd2zebmPB2qQAvvfQSQ4cOZcuWLRw6dIgNGzbQq1cvtzLuPWEJ0A3qOrXiyunvubRtA8KsQfPXYtd6aNdzED1/kUXMmJEQp4ZgpLNx40a++uorIFQC5tVXXwVumgwjXUA4OBq0I+D8fj9z5sxh3bp1HDp0iK1bt7J9+3amTZv2k9+l24ANlmZhIDGkjTdgohkaAY+Hax3aUOqBc7v2EdDAYwr8VVvwtU6jZ1YGrWdNRrZNwRQaEkOFx0YzTpKRM8AOHz7MqlWrCAQCpKWlMXfuXNq2bdvA8RstkydcqJmmSceOHXnzzTc5cOAAV69eZfHixYwfP96Nagn/u5+6Nil0/L2fY/A//S+CtQF0OxnNBPPcWa5+sJXSjZ9w/OoVnkhpT/zAvtheQIC0ZcjGq93MYdUifAI1R8K14wsXLri9S5yF9fHHH7+tPE2kj3doWHPNGf99+vQhIyODQ4cOcePGDf74xz8ydOhQ0tLSXHPyHce8DVgCXer4hQVIMMDGQktMof+CbMxXZ4LHh6V7MUqqqdqxiwtFGzj9m7fAr5OcPQu0mKgY48r09CM4DU4Aqqur+Y//+A83C3vGjBm8+eabxMTENOjgFS229vBzdUIb27Vrx9dff82xY8coLS0lJSWF4cOHAw1DWH/q+mzA9vvwpLUnpuNj+Ds8htGhM94evUjp04XAub1cO/olntQnSOrTHztGx9ZAs0Ihh5YIKSWaDKn4UTCPmg3hTX2klCxbtox3330X0zR54YUX+NWvfkVqaupt4z2axvyt7VnT0tLYtWsXxcXFlJaW0q1bN5555pkGpUhuu0Z37yTQ0LA1SVCTmJqGrnvxt2qHv31HfB3aoXXohK9rF1oN7EVs5Q1qd+ykQtSSOnY0HiMJNBHx3uIIP72mxVlEDcPgyJEjFBUVIaWkVatWZGRkkJSUFBE1bR4WSUlJZGVl0apVKwBWrlzJ4cOH3VIkd4tugW7qBIWfgIzBtrzYtoblMRA9O5M8/HnKPQYVZWWAhRQAIR9FA5do9PhHmw3OYmoYBufOnePPf/4zNTU1eDwe5s2bR8+ePZvVmJdS0r17d+bNm4fP56O8vJxly5Zx/vx517F9p7Ef0CV1hoWlW0gkum2gSy9S+gmIOGqMOEw9AWknopt+hO2FVvEYzz2B1TaeurIygqXX3GCOSEcJih/BUU8rKipYunQp3333HUIIsrKyePHFF5vVhHEYPXo0kydPBuDkyZNuL2SnudFdRbcEQa8FYWvUagZ1HkGdF0yvBKHh9aXiqfNhIUPRgc5GzcmpqP818veozY9wjXjdunVudN+gQYOYNGlSs2twZZommqYxYcIEBg4cCMCnn37Khg0bGpjXbtWYaoVJuRakVrOwNRthg8fU8NqhLGwdAWhgaxi2hm5LwAaPwBbgtww8mgfbEMgoWIWj4BSbFo/Hw+7duyksLHRbK2ZmZjYogtZccNpZZmZmuoXT1q9fz4EDB+4tBNIAvGAIEx91eEQAv6zFH6iGa2VUHv4GDzq+1ingNUAIhCQkKESoPIIN9Z813vUqbscZ00ePHiUvL49gMEhCQgJ/93d/R1pa2gMVi4xEdF3HNE2eeOIJMjMz8fl81NXVkZeXx/nz510Bces1x0pJkimJCUr0oAQZ8m5LzULTJAIbIWwsAyxdglYLteVQfAlRFUBLSEZLSqHGCJlaIx0lKH4AZ2BUVlaSm5vLpUuX0DSNmTNn0rdvX/ffm9OksSwLy7IYPnw4r7zyCgDffPMNeXl51NTU3LUdOhis4Pq5o1BynpjKqxiBUvRgKdq1C1zfuoUTn+wgpmsHHhs8APwGEhkSCoR2WyYSqSREo+OEi9q27WZXQ2iXXVBQwJ49ewAYOXIko0aNcu300eCPuBccE9P06dN57rnnANi1axcbNmz4wfltBDU8QR3NEoBEaiYWNWjBSmpPH8X85hD69UsQvI5llyADJVQf+YojH2/nvE+jzZiRiPhWeEwZFYuwinr6AZyd1bZt29yyBd26dWPWrFnEx8e78djNadI4CYWJiYnMmzePLVu2cP78eYqKisjIyGDkyJF3ZXoIVFxn83/+O22v1PBYq1T8STFYms2NMxe4/vUhArrGE3OmE9+nJ7YusG0LvV5QgFIiHhWO/d0xvzg1m44ePcrq1auxbZuUlBSysrJITU3FsqxmpUGHI6WkY8eOvPHGG3z11VdUVVXx7rvvMnz4cHr16nXbPA8aGkFdhLpOCNCFide20cvKOVpQRMXnu+nSpiOxKa3x+HVqrpVy4fgRLly5yuPpk0mePAZhePEEBEIj4hO0VdTTj3Dt2jV+85vf8Pnnn+Pz+ViwYAHz589v4OCKhpyJe8ExMT322GOcPXuWvXv3UllZicfjYdSoUfj9/p/8Do0AwWtX4XQJlV99w5nDxzl/6jTUmaQ9/Qy93lxEysRxiKRUglrI1GSghyKeNAiK0Lzx2OJmXQRFo+DsmMPH8R//+EeWL18OhFqc/v3f/z1xcXE/Hi4apTjX7/gj0tLS2LdvH6dPn+bSpUu0adPGLRgYTigyTyA1gS00pBBotoUO6DUB5OVrVJw8w4Wvj3Lh0FFqr1wj6bHuPDEngy5zZmJ3fgzN1tFMwIj8qCchm5Pt5CGzcuVKXn/9da5fv07v3r1ZunQpzz77LMFg0M3ujJZw2LshGAy6E8fj8bB3717mzJnD6dOnSUtL4+2332bKlCk/+h0SiS1r0YJViJIKys+XUlVVhvBCXHIK8W06QVIKAUPDg05ADy0+flMibAh6daqFxAPEmiIqQgejGacIHoRMMDt37uSNN97gyJEjpKWl8e677/Lqq6+6/d8dzeO+EjEjEMf85gSu6LrOihUr+Iu/+AvKysro378/ubm59O3bt+EfWjYIiZShyq+mJglKGxmsw2dbaOU3qLp4keqy61jBAHFxcSR06ISW1gHT40MKDWFZmNh4DS+aFtlrSPN42g+J8HpNTqTT9evXMQyDyZMnuy1Om5sW4eAsAo5W0a9fP2bMmMHvfvc7Ll++TH5+PqNGjSIxMfG25KVwbKET0GPwto8jIa09iVggbEAH6cEWHjRbIjXpOrGlJtz6OVr9S2kSjUt4Z0FN06itrSU3N5cjR44AId/E6NGjGyTVRUMy6b0SnlOhaRrjxo1jxIgRrF27lmPHjlFUVORWKXDmh9BkqHps/TQwpMASOrWaF82rIbxeYpNTSLBtsG0wNNA8IA2MgAaaoM5jUalDIhJvhA/25rni3QeOI9dpc7pmzRo+/vhjAPr3789rr72G3+93G7bfS+36aEHXdTweD4ZhoGkaMTExZGRk8OSTTwKwZcsWPv74Y7fBi3O/whEIDDz49Bh03Y/w+MATC0YcGH7weNB08BgCXdfwCg2fZqBpOhgauhDEoeFDQ2rK7NSYhCdQCiE4ePAga9euBaBLly787Gc/IzY2FiEEhmG4Y785+SnC27c68zklJYXs7GzatGlDMBikoKCgQcvUYDCILQFNB73eTqqBV0Cix8AnNHy6D80bA/5YiIkHbywYXjB08Avwgkc3SMKLEQWDXAmKW/B4PBQXF5Obm0t5eTler5f09HS6devWrCKc7pZ+/foxbdo0DMPgypUr7n35MR+NqM9WDa3yzsvVE25+FP62/o1zpKC+UFrkz6GoxtlFV1VV8f7773Pu3DkAXn31VUaOHAnQ7HInfgopJaNGjWLYsGEAHDt2jOXLlzcobRIarOK2ceu8Qh/XfyrCPg07UENgIKKihIcSFPWE919Yv379bS1Om9Mu6l7w+XzMnTvX1So2b97M5s2bXXNFeFilIvpwCuTt3LmTDRs2ACFtIiMjg7i4ONfU0pKwbZvk5GQWLVpEx44dkVKyatUqjh8/DjSvkPi7RQmKemzbxuPxcPHiRfLz86msrMTv9zNz5ky6d+/eIieMlJJAIECvXr2YM2cOuq5TXl7u+m6iqbaV4nYcf8P169dZtmyZq01MmjSJQYMGYdt2i9MmHCzLYsyYMUycOBGA06dP89vf/pba2tq76qnd3GixgsKZBE7Uh9Px7cMPP+SLL74AQmULpkyZ4mobLXFBdGy46enpDB48GAiVOHC0ipa6kEQjTpG78KrIQggOHz7Mxo0bAejevTszZswgJiamwXEtDcuyiImJIT093dUqNm/ezL59+5pVePDd0mIFRXjrTefBnz17lj/96U/U1dXh9XpZsGABPXr0aNHmFafEQc+ePZk3bx5+v5/y8nLeeustLly4ALRMVTwacRb98EzsiooKfvOb33Dx4kUA5s+fz7Bhw9yQ0Zb4bMMz1AcPHuyGhJ8/f56cnBxXm25JtEhBEZ5k5AgM27ZZtWqVGxo4ZMgQJkyY4B7nTLCWxK0Lxbhx49zyywcPHmTjxo23dTlTRDbhz0sIwWeffcaWLVuAUOWBadOm4fP53Od+/73To5vwKgUzZsygW7duAGzatMlt4tSSaJGCAm5WhnWcssePH2fJkiVUVVWRlJTEG2+8QadOnaKuF/bDJPzabdumZ8+eLFy4kLi4OCoqKli8eLFr11ZED85zvXTpEu+99x5VVVVuVeSnnnrqNn9cS9sghc910zQZNmwYs2fPRgjBxYsXeeedd7hx40YTn+WjpcUKCripipumSVFREUePHgXgxRdf5KWXXgJuhg8671sSjkkufOGYMmUKgwYNAmD//v1upAw0TOBSRB7hGx5d19m8ebObK9S3b19mzZqFz+e77e+aa4LpDxFeqgQgJiaG6dOn065dOyAUFbl79+7bjm/OtKwRUI/juHaSxY4cOcKyZcsIBoMkJiYyd+5c2rdv36ANakvUKIDbkqw6dOjAokWLiIuLo6amhrfeeotvvvkGwE3Ca2k70GghvCvdxYsXWbp0KWVlZcTGxpKZmUnv3r3d9rhO0mVLHPfO9Tsv27Z55pln+Mu//EsMw+D69eu89957XL582S0BEl7+pjnSIgUF4Gab1tXVUVRUxIkTJwAYNWoUY8aMabHRHnfi1vvw8ssvM3r0aCCUjFRYWOguMM15sjQHHC1xy5Yt7NixA4DHH3+cmTNn3la/qSVG98Dt1y2EwOfzMWPGDJ566ikg5KvYtGlTg41kc94gtUhB4QgBp6RyQUEBpmnSunVrXnvtNVJTU5v1Q38QTNMkLS2Nn/3sZ27Np8LCQr7++ms0TbunvhWKR4tjQrxw4QL5+fkEAgE8Hg8LFy6ke/fuKjDhR7Asix49epCeno5hGJSVlbFixQpKSkrcoI/mbKJrvlf2E9i2TU1NDbm5ua7pZNKkSW6LU7UzvjOOz2LUqFG8/PLLAHz99dcsX76cmpoa/H6/uncRimM+LCgocCsPDB482C2dr8b9nQkXnjNnznS1iu3bt7Nx40a3TlRzpkUIiludTVJKDMPgwIEDFBUVIaWkffv2pKenk5CQoMxOP4FT4iAzM5PWrVtjWRZr1qzh6NGjrk1X0fQ4Yd/h4//UqVMUFhZSVVVFQkICGRkZpKamuscr7oyzJjz++ONkZGTg9XqprKykqKiIy5cvN2iZ2hyd2y1CUDhZ2E7bR8AtRXH27FkAJk+ezLBhw1z125lgioaEC9CXXnqpga9i2bJlrq9C0fQ4giJcWKxcudLNAxgxYgSTJ092bewej0dtkH4A575omkZWVhYDBgwAYOvWrRQWFt52fHMTFi1iRt/6wDRNY9++fXz44YcAdO7cmfnz57s2d2exU5PmdsKzVlNTU3nttddo166duwgdOHBA3bcI4NYQTykl3377LStWrKC6upqUlBQyMjLo0qWLGwHYUjOxf4rwUjVSSjp16sTMmTPx+/1UVlZSUFBAcXFxg/vX3O5lixAU4Y1JLMuioqKC3Nxcvv/+ezRNc4ugOcdC89sRPEycexQMBhk+fLhbOO3MmTP853/+JzU1NU15eop6wk2ApmmSn5/vahNDhw5l0qRJwM0oH2VyvTOOozp88zh37lxGjBgBwIEDBygoKABuCojmdi9bhKAIV711Xeezzz7jgw8+AKBr165uDSNHTW/ujqkHITzCw7ZtYmJimDNnDl27dgVgx44dDZKRFE2DE7ZpWRa6rnPixAk3VygpKYm5c+eSkpLiRkKp0OYfxhES4eV+OnbsSGZmJomJia5Wcfz4cVc43NrQK9ppEYIivMlOdXU1S5Ys4erVqwghmD59Ok8//bS7+BmG4YbONqcdwcMi/N4492rIkCFMmTLFLayYl5dHTU1Ng054ikeLsznSdR3btsnPz+fkyZMATJw4kXHjxjXIuG+pyXX3gtMJz7lHr7zyCkOHDgXg4MGDFBUVUVtb20BDay60CEERXgTtgw8+YNOmTQA89dRTZGVl4fP5bvbCDXspbie8t7CjecXHxzNr1iyeeOIJANauXcunn37qHg8qouZR42yOdF3n4MGDrFixAtM0adu2LfPnz6d169YN7OnhPxW3E74uONp0+/btycjIIDk5mUAgQGFhIefOnXOztZtT9F+LEBSOtlBaWkphYSHXrl3DMAxmzJhB7969G9RzUtw7tm0zePBgXn31VQBKSkpYsmQJ5eXlzW5nFS04NvLKykry8/M5c+YMAOPHj2fIkCEqqu8BccxQEydOdPOJDh06xMqVK92Wqc2J5nU1P4AzIbZs2eLudPv168fMmTPxer1qwjwgUko8Hk8DX8WGDRvYtWtXiy3RHgnous6+ffvcxatdu3bMmzeP5ORkAGVqegA0TXOrFCxYsICEhARM0+QPf/gDR48ebXahxs1SUNwasaTrOteuXWPJkiVcuXIFj8fDrFmz6NOnD6ZpNvs6LY8Cy7IYMGAAr732GpqmcfXqVf7whz9QWlrq2nYVjcutG57KykpWrlzpahOTJ09myJAhrkNWZWLfP859s22bF154gfHjxwOh5kbLly+nrq6uWQXFNLvZ67R7dBypzu/hdvOnn36a2bNnYxhGgyZGivvHcZxOmzaN/v37AyENziljHS68VQvVh094UqmTE7F3716WL1+OlJLOnTuzYMECWrVqBYQ2T04wguLeCRcUKSkpLFy4kLS0NKSUrFixgn379rn/7lRUjmZzX7NbHW9tbwpQXFzM+++/7zZomTdvHj179mxgS4zWBxgJhIdi9uzZk8zMTDweD7W1teTk5HDu3DnXzNFcSxw0JeFx+8776upqFi9eTElJCRCqUTRw4EAAFbDxELi1auyIESOYMmUKmqZx8uRJCgoKqKysdJ9JeMWHaKTZCYpby2/Yts26des4ePAgAMOGDXMTjcJ7CKuF6/4JTy4yDIOpU6fSu3dvAD7//HNXq4CWW7q6MQlfjJweCtu3b+ejjz4CQrlCmZmZ+P3+Jj7T5kX4pichIYHMzEy3btaqVavYv39/g3kRzRVmo/Osf4LwndWZM2d45513KC8vJy4ujoULF9KtWzc3tt+R9NH6ACOB8KxeKSW9evUiOzubhIQEbty4QX5+vtsyVZn6Hj63ahSlpaUsWbKES5cuoes6mZmZbm0ixcMjPAkPQpV4p0yZAsCFCxfcfCLnOMcUHo00u9kaHusspWT16tUcPnwYgEGDBvHyyy+7xzid21RW6oMRriU4Drzp06e7eRVbt25l3bp1gDLxNQbhCV6aprFz5062bt2Kbdv06tXLbUoUrWaPSCS8W6Az5v1+P3/7t3/LY489BsC6devYtm2b+zfRrEk3O0HhmJE0TePbb79l2bJlBAIBYmJiWLBgAZ07d25Q9C/8p+L+uFO72I4dO5KdnU18fDymaVJQUMC5c+caOPcUDw/n/l+/fp2cnBw32mzy5Mn07dsXiO6FKhIJXz+cV48ePZg2bRq6rnPhwgUWL15MRUVF1K8x0XvmP4BTWiIQCLB69Wq+/vprAF588UUmTZqkQgIfAU4E1Jw5c9wSB3v27HHLkCuf0MPFuZe6rvPRRx+xZcsWIJQrtGDBArfygKLxcHydfr+fuXPnus2Ntm3bxrZt26K+UGCzExQQemhHjhxh8eLFBAIBUlJSWLRoEa1bt1YT5hHgTIqUlBTS09NJTEykpqaGwsJCTp061SAsWfHwKC4uJicnh4qKCldQ9+7du0GJbEXjEgwGGTBgABMnTkQIQWlpKbm5uZSXl6PretQ+g2YpKCzLYvny5Zw4cQKAMWPGMGLECCUkHhHhzu1JkyYxfPhw4GbLVCfJMVonTaTh7FKdXCEpJc8//zzTp09vcI+jdTcbTei6js/nIysriz59+gChlqmbN28GovcZRL2gCE+wcyKYvv76a9avXw9Aamoq2dnZtG3b1q0O25wyJiMZp2zEzJkzSU5Opra2llWrVnH+/HlXmIRnCCvBcXeE37dgMIht21y6dIkVK1ZQXl5OTEwMs2fPpmfPnnf0HykaF9u2efLJJ928iitXrpCbm0tpaanbE8d5RcuYbxaCwnEk2bZNTU0NeXl5HDt2DIBx48YxcuRI93g1WR4Njh/Ctm2mT5/O2LFjATh8+DBvv/02tbW1wE0zlSpFfvc498upeCylZNWqVXz22WcArjYRXhVWjfvGJzx51zH9PfvsswB88sknbNy40T321gTJSCeqBUV4IxEpJYZhsG/fPtauXYtpmnTo0IF58+YRHx9/W/NzxaMjOTmZzMxMYmNjsSyLZcuWceLECdf85Gh4yjR494T3kTh79iwFBQXU1dURExPDvHnz6NKlSxOfYcvE6dVimiZ9+vRh7ty5+P1+ysrKeO+997h8+XKDjW20CPGoFhTODXYWGNu23UUIYOzYsbdpE9HwUKIdR2g7723bZuTIkUybNg0IFU7Lz893C6c5XdiiOXzwUeN0YhRCUFRU5NYWevbZZ93WtIpHj6PtOY7rqVOnusmOe/fuZc2aNe6x0VQVIupnZnha/M6dO1m7di0A3bp1Y9GiRcTFxd1mC1TConEJT/5y7nVqaioLFy6kU6dObrDB7t27o0r9jhTCx/zp06fJycmhpqaGpKQkXnvtNTp06BBV9u/mQnizKGdMd+nSxW21XF1dTW5uLqdOnULX9ahqbhTVgsKJyQeoqqrirbfecktFTJgwgcGDB9+2YDmOPUXj4WS9O1mrzv0eNGgQEyZMcFumrlixgsrKSvU87hHHIappGvn5+a4/bsSIEYwdOzbqY/ajGWd9CW+lPG7cOAYPHgyEtIpt27ZhmiZA1DynqJ6h4Q/l008/ddPle/bsybx581RTogjCtm2Sk5OZO3curVu3BqCoqIj9+/e7fZ3Vs7o7bNvG6/Vy8OBB8vLyME2TxMREsrOz6dChQ1TXFGpuWJZFjx493NpnNTU1vPXWW5w+fdqNwIyGZxXVggJCwqK8vJz8/HwuXryIEIJp06YxYMCAqFHrWgKOPXbgwIFuRE5xcTErV66kvLxcaRX3gK7r1NTUsGbNGk6ePAnAqFGjGD58eIMsbUXTEl7eY+zYsQwaNAiAAwcOuL6KaNAmoBkICiklO3bsYNOmTUgp6dOnD+np6cTGxgLR8yCaO45TOyEhgV/84hd069YNgIKCAlcTjIadVSQghOCbb76hoKAA0zRp06YNCxcupE2bNgQCATXmIwTHrOS0TP35z39OfHw8Ukpyc3PdyL9oIDrOMgzHROHE3V+5coX333+fK1euAKEGLc8//zxw01auiByciqaTJ09GCMHly5dZtmwZ5eXlDZLwVBe8EOF5Js59qaurc3OFhBBMmDDBrYrs9KOIlgWoueOYxg3DYMKECYwePRqAQ4cOUVhY2MBXEcnm16gaTeHtHh077Oeff+7uJpuqagAAIABJREFUSHv06MGsWbPc48MTjhRNS/ji75Q4CC9D/vHHH7vdwsIXxUidOI+S8EVECMHBgwfJzc0FQtFk8+fPJzExEUC1N40wwhPrUlNTycrKcmvOrVixgqNHjzbofBepG6SoEhRwc9E3DIOzZ8/yzjvvcOPGDXw+H3/1V3/ldlZTRBbh0WaWZdG/f3/S09PRdZ3S0lLy8vIoKSlxo6ScnZYihKMl3Lhxg5ycHIqLiwGYNWsWw4YNa+KzU9yJO4XkjxkzhpdeegmAY8eOuW0QIr1wY1QJinDVTNd1tm7d6moTvXv3ZsKECcrUFKHc2i7V4/GQmZnJk08+CcCOHTvYsmWLu6NSz7EhThbvnj173FIQnTt3Jisri5iYmCY+O8WdCG9q5IzrlJQU5s2bR5s2bbAsixUrVnDo0CG3sVSkhstGlaAIX2i+++47cnNzqa2tJSYmhoULF9K5c2dVMyhCcdTr8JyWkydPUlZWhhCCK1eusHjxYlerUIl4N3GERFlZGQUFBZw+fRpN05g6dSp9+/aNSFOFIkS4ydXJf3n55ZeZMGECEEqYXLx4MVVVVRE95qNKUITf8K1bt7Jnzx4A+vfvz5QpU9TOKoIJt70KITh8+DC/+93v3OKAAF988QWbN29uUIJcOWVDaJrG3r173ZayXbp0IT09nbi4OCByTRYtnXBB4Tyjqqoqrl+/7v776tWr2bt3b4MkvUgjqmahpml4vV6+/fZb8vLyqKqqIiEhgUWLFtGlSxelTUQw4dnC/397bx4nVXknen+f5zlV1Xs3m7I0OyiCigvigihuQDQiKpsQwKvESfKa0TtJTObe9zPO5M2duTFznZCbmTu5CAiKoIigIBAFFBRFkFVwQQFFkG5oaHrvrnPO87x/nDqnqwARsGmqi/NNym66q6urz3me57f/fuXl5fz+97+nuLiY3//+93Tp0gWAqqoqZsyYwddffx0EZcMD0Fv31dXVzJ07l9LSUpRS3H///Vx77bVh/7I0J3lMKniDjf74xz9y+PBhhg0bhhCCffv28cILL1BbW5u297JFCQpfI12wYAFr1qwBvCZo99xzD8YYHMdJ2wt9vuMf+PF4nBkzZvDFF1/wy1/+kilTpqRkqq1fv57Fixen9DM6n/EPmaVLl/Laa68BcNFFF/Hwww8TjUZTnheSnvhrXwjBkiVLWLZsGU888QRPPvkk3bt3xxjDkiVLWLduXdoO9GpRO9GPTSxcuBDXdSkoKGDChAm0bt0aCN0U6Y5lWaxdu5bp06fz85//nP79+wMwYcKEIFuttraWl156ib1794aHX4Ly8nLmzJnD4cOHsSyLkSNH0qNHjzAzLM1JdjdZlsXu3buZPn069913H3feeSdXXnkld911FwAlJSU8//zzlJeXp2UiR9qerMl+Pf9iu67LrFmz2Lx5MwC33HILY8aMCbSusNAofUieFeJnMR04cIBnnnmGQYMGMXLkyCDAffnllzNlyhSysrIQQgRdgJOLkdK9IKmp8K9XcvfX5cuX88477wCeBe33MUtudBmSfiTfl7q6OubOnYvWmsmTJxONRonFYjz44IP07NkTgNdff521a9cCpEzAS4c1n7YrLPmQ8R87duzgtddeIx6PU1hYyJgxYygsLEQpFc4zSCP8xX1sAPutt95iz549PP7448RisZTkhHvuuYfrr78eYwy2bTNz5kx27dqV8nr+55nMseNhS0tLA00zFotx3333BSnF/poPLa/0xFdslFJs2LCB+fPnM2nSJIqLi4OC4csuu4z7778fy7I4ePAgs2bNorKyMnClp0sBXlqfrP68X/CCQHPnzmXHjh2A1wRt6NCh5/LthXwLyYICvA3z6aefMnPmTEaMGEGfPn1ShIQxhh49ejBlyhQKCwsB2LZtG4sWLUqxItI5fbCp8H3UftHh0qVLg3hc//79uffee4OhUCHpj2VZHD58mBkzZnDFFVcwYsQIoDGm5NcT+a7XFStWBH3r/LWQDms+bQWFLyD8APXu3btZuHAh8XicDh06MG7cuKBtQUh6cWymh2VZLFiwACklEyZMCFor+4qALwCGDx8eCH/HcXjppZfYvn178PyWNDryTEm+ZocPH+a5556jpqYGgDFjxtC7d++00DBDvht/ra5YsYLt27fz6KOPkp+fH9QTgadUXXLJJYwePTqovJ8+fTqHDx9OSZc912s+bQVF8kHS0NDAtGnTgpbKd955J3feeWeYPpmm+K5CfyTqJ598wurVqxk9ejSdOnXCtu0UAeHTqlUrfvrTn1JcXAzA9u3bmTt3LvF4PC20qubA1yS11ixbtowNGzYA3lCie+6557yI02QKfiHpwoULGTx4MH369EkpvIPG+z1y5EguvfRSANatW8ebb755nPv2XJK2ggIa5wJv2bIlCAS1a9eOMWPGUFBQkPHaZUvG968aY5g/fz6WZQVzKKAx1nCsj33AgAGMGTMGpRTxeJz58+ezdevW88LtBI0Hx549e5g6dSrV1dXk5OTw0EMP0atXr+CgCUlf/KalAB988AG7du3igQceIDs7O1CA/fiSH8Po169f8JyKigpeeOEFSktLgx5p51pYpK2g8DWnmpoaXnrpJQ4fPowQglGjRnHdddelmG8h6YWfgaaUYvfu3axcuZJbb72VCy64IDjsk5sE+pajMYacnBwmTJhAnz59AK/FwaJFi3AcJ0hayHQcx2HJkiVs374dgIEDBzJkyBAgzHBKZ5KtPSkltbW1LFmyhP79+wfWQvIwI//f/lk2cuRILr/8cgDeeecd3njjDYC0UIjTdtVJKYlEIrz77rvMnz8f27bp0aMH48ePp6Cg4LzQLlsyfubO8uXLycrK4u67707JKT/RvfO1rf79+zNp0qSgJcvLL7/Mhg0bUkz2TEVKyccff8zzzz+P1pq8vDwmT55M586dU6y0kPTDT/f2FZ/Vq1fz4YcfMnbsWHJyck5oFfhCwLZtevfuzcSJE4lEItTU1PCXv/yFr7/+Oi2K8NJWUAghqKqqYt68eezfvx8hBHfddReXXXZZSsplSHpiWRb19fWsWbOGm2++mYsuuigldnGiA09Kieu6SCmZOHEiAwYMALzmgXPmzKG2tvZc/CnNip/ptHXrVgAGDRrE8OHDU65buO7TE//e+FPt/vrXv9K5c2euv/76wGo4kbBIzuobMWIEV199NQAbN27k9ddfT4suBWkjKE50cKxbty5oW3DBBRfwwAMPUFhYmPa92893/HjC9u3bOXjwIDfffHNK2ud33TetNR06dGDSpEnk5uZijGHx4sWsX78+JQMqE7TrY+tDtm/fzuzZs7Ftm6KiIqZMmUL79u2D54QJHOlL8oFfUlLCRx99xPDhw8nLywO8IrpjhXyy4Nda07lzZ372s5+Rk5ODbds899xzfPbZZ8Fzk+vLmpO0ERT+5DrbtjHGUF5ezosvvsiRI0dQSjFq1CiuuuoqgJQCu3DTpB++RjVv3jyKi4uDeIN/3/z4xbGbxo9t+F8fNWoUw4YNA+Cbb75h9uzZVFVVpRRhtuT7b4w34tRxnKDAbsGCBXz66aeAZ034sQl/hkfYfSC98dfkihUrsCyLW2+9NTjUT1QcmTy+1o+/3X777QwePBiATZs28eqrr+I4TnBG+mumOdd+Wqy4ZK3Kl7B//etfefXVVwFvxOnjjz8eNEFLzi0OzfD05NChQ3zwwQdcd911tGnT5jiXyYnu27GulaKiIh5++OHg51etWsW6desCq8L/mXOdEXKmJBckCiHYuHEjixYtAqBdu3Y89thjFBUVAalrPVzz6YtSiqqqKtasWUP//v3p3r178L2TCfjk+9uhQwfGjBlDfn4+DQ0NvPTSS+zcuTNIAEmuP2ou0kJQJG8AKSVlZWXMmTOHsrIyLMti9OjRdOvW7Ry/y5DTYfPmzcTjcQYPHnzKmv+JYheDBw9mxIgRSCnZu3cvs2bNoqysLGWjtNSD03cj+anAzz77bNB5YOjQoYFWGdJyEEKwZ88edu7cyZAhQ1KEQ/Js7O/innvu4aabbgpmpL/88svYtp3yWs1JWggKSK3mXbFiBe+99x4A/fr1Y+zYscGowJD0R2vNqlWruPbaawON6lQW9rEHvzGG/Px8xo0bFxThrVixgtWrV6cEvluqoEjOqd+yZUswCra4uJgHHniArKys8yIdOFPwXeEbNmygdevW9O3bN1AGkrOhvgtjDG3atOHHP/4xhYWFgUvy448/TilUPe9cTz5CCA4ePMgLL7zAkSNHiMVijB07lksuuYR4PH6u317It3BsZ9eDBw+ybds2hgwZQn5+/mll6hxbse26LjfeeCPjxo1DCEFpaSnz5s3j6NGjQT+klhqn8P9Ox3F4/vnng6Dl7bffzo033giQ8enAmUZDQwPr16+nV69edOnSJaXDxKmuU78x5m233cZtt90GeEkOM2fOxHGc42oxmoO0EBTJh8Lrr7/O6tWrAW/EqV+lmwkZLplKsq8dYOfOndTV1dGjR4/jnnMyjvXD+59nZWUFfY4AVq5cyeuvv54yuL6lorVm48aNLF68GPBGnE6ePJn8/PwTZsmEpC9CCOrq6vjqq6+47LLLUuIJyfGFU3kdgLy8PB588EGKi4vRWrN8+fKgS8F5m/UEniY6e/ZsKisriUajjBw5kp49ewY9g8JNk774B7vWms2bN5OXlxeMOD1TIe//nOu6XH755UycOBEhvFGqc+fOZf/+/S26k6p/sEydOpV9+/YBMGLECG644YYWn9F1vrJr1y6qq6uDoVxnQnIK7E033cQdd9wBeF0KnnnmGWpra5t93aeNoBBCsHjxYj744AMAbrzxRsaMGZNSXBcKivTFN7HLy8vZtGkTV111VeBfPVOSszsikQijRo0KipHWrl3LG2+8kRbFSN+HDz74gFWrVmGMoWvXrowdOzZlKFFIy8EvsuvWrVugJJ0JvkvStm0KCgoYN24cnTt3xnXdYGRqcysS52yHJf+RQgi+/PJLnn32WeLxOLFYjPHjx9OtWzdc1w2D2GmOr/ULIaioqODzzz9n4MCBRKPRoCL1TA9zX7tyHIcePXowatQoYrEYFRUVzJs3j5KSkib+a5qPqqoqZs2axaFDh1BKMWnSJK6++urjJvuFlkXLoKGhgXfeeYeLL76Y1q1bf69zS0qJZVk4jsOgQYMYOnQoxhj279/PrFmzqKmpyfwYhS8t/S6Ltm2zaNEiPvroI8CzJoYNGxYUobTkzJbzgWRrzz+4u3Xr1iT3zN8wUkqi0Sjjxo0LCi/feustli1bhm3baK2Jx+MpIyTTDa01tm0H7/fNN99k6dKlaK3p06cPI0eODDKdpJRBgWK49lsGZWVlHD58mK5du34vK9e3oP01kJuby8SJE+nYsSMAS5cu5cMPPwQaO9X6BXlni3MiKPz24eAdBJ9//jnz5s2jrq6O/Px8xo8fT6dOnYLvn4sof8ipk5z2t2/fPnJzc2nbtm3wPTjzgHNyMBC8YO8DDzyAZVnYts306dP55ptvUn5Purbi9q0DpRSHDh3ihRdeoKKiAiEEY8aMoV+/fkCj4A0VpJZFSUkJtbW1wQzs70NyuQB4VfqTJ08GPIH09NNPU1ZW1mwW5zkRFH5zLN+0Wrx4MZs3bwbglltuYejQoeEGaaHs27ePwsLCQFCcjVYb999/f5A+unnzZl577bVgEiKQtrUHyamS7777LitXrgSgd+/ejBw5MpgjHtIy2b9/fxBramosy+L+++8P6pLefPNNli1bFgiTs21FnzOLwt/Un3/+OdOnT8e2bfLz85k8eXKQDhbSMkieHbJnzx66d+9ONBo9K+mdruvSvn37IIW0vr6eZ555hp07dwbty9Nx7fian2VZ7N+/n9mzZ3P06FFisRiPPPIIl1xySUrlbUjLw1/7/tz3plz7ruvSt2/fwJqOx+PMmjWLvXv3Bq7ZjBMUvmZl2zYvvvhiMOI0udAoHTd7yInxM4/KysrYvXs3F198cbBwm9qF4r/OrbfeGjTM2759OwsXLkwRTOmqmQsheP3111m2bBkAffv2ZcSIEUG6Y7q+75AT49+vuro6du/eTd++fYM5Kk39e6LRKGPGjAmabL7//vssXbo0sKbPpiV9TgSFby5t2rSJ+fPnA14TtEceeYR27doFrRlCWgb+/aysrKSsrIzOnTunBKHPhqDo1KkTEydOpKioCK018+fP5/PPP0/bVi9+l9B9+/Yxd+5cbNsmGo0yefJkunfvHgi50OXaMkiu8THGUF9fT0lJCRdddBHRaLTJYwf+urj00ksZO3YsWVlZ1NbWMm3aND777LOURplng3MWo6irq2PevHkp1sQ111wDnHmBVsi5wRfqNTU1HD16NIhPnC18C+aOO+5g0KBBAOzYsYP58+dTX1+ftoet1prFixcHGSsDBw5k5MiRKdZXur73kFT8Wgf/njU0NHDkyJEgM6mplRX/PFRKce+99wZxkG3btvHyyy+f9bVzziyKLVu2BO6CDh06MGHCBNq0aRMEP8MN03LwF3F5eTmRSCRojX028NeF1pqCggIeeugh2rRpg+u6zJkzhy1btqTtFLjdu3fz4osvUl1dTVFRUTDiNBQSLZ+Kigocx6FVq1bAiWdPfB98ZcwYQ8+ePZkyZQqxWAyAuXPnsnbt2swTFA0NDbz44ot89dVXSCmDQR1+fnlyU7iQ9Me/VyUlJRQWFpKVlXVWf19y98zBgwdzyy23AF6PqQULFqRtW4/FixezYcMGAK644gqGDh0KpLox0tFtFnI8x07ZLC8vx7IscnJygu839cHtr/toNMr48eODeqJdu3Yxffp0qqurm/T3JdMsgiJ5E7iuy7p164KhRB06dOAnP/kJBQUFQYFJOMWrZfLNN99QUFAQbJazRXKTtbZt2/LTn/40aEO+cOFCNm3aBKRWdZ8LxcP/3Vprvv76a+bNm0dtbS0FBQWMHTuWzp07BzVF/pSz0KpoGSS7nowxlJWVBcVx0JgWfrZ+d4cOHRg3bhx5eXk4jsPy5ctZsWIFwFkpOm2W09i/YFprKisrmT59Onv37kUIwb333su1114LkFKFHW6YloN/fysrK8nJyQkmEZ5NktfJDTfcwPDhwwFPu5o5cyZVVVUA56xK208Z9udmPPPMM2zduhWA2267jbFjx6Y0uzy2wCokvfHvk78Oq6urkVIGGU9NfR+P7UArhODuu+9m4MCBABw4cIAZM2ZQWVkZKEhNufabTW33K1LXrFkTSL6ePXsyevTosx6xDzm7+JsiHo+nzP5tLrKyshg1alQQSFy+fDnr169PaVl+LtaXn723c+dOXnnlFeLxOIWFhYwePZpWrVqFa76FkywM/J5mvtuzOYR+ly5dGDVqVFC3sXr1al555ZWU399U76FZBIX/hisqKpgzZw4HDhxAShl0A62rqws1qRaM7ya0bfucaMXGGG644QZGjhyJEILdu3fz3HPPUVNTg1LqnCRH+IpRfX09zz//PLt27QJg2LBhgfWTrhXkIadGcsDaX2O+oGiOHl1KKcaPHx/UE1VWVvLnP/+ZL7/8MkgTbyr31ylH/Y7VfUTKV7/9gviBOiEEq1evZs2aNQD06dOH8ePHk5ubG06va+H4giIejzeb6ykZIQT5+flMmjSJVatW8emnn7JixQo2bNjAkCFDAlO8OQ9mv9Dwo48+4rXXXqOuro6CggIGDx5MbW0tlZWVoaBo4SRX2x84cCCopYjH40ER3NkUFo7jEIlEuP7661myZAmu6/LJJ58wZ84cfvOb3zSpsDqt9BAn8VECAoMwOiEqpCcrDAgEif8DBmNctHY5cuQos2fPprS0FCEkF154IZs3b2bz5s2hf7aF4/viv/jiC4wxPP/8883qTvQTJYQQXHjhhXz66ad88803/PnPf6Z///7BONbmpra2lueee46PP/4YIQQ1NTU8+eST/Pa3vw3dThlGfX09tm0zZMiQZj/Hksfl1tbWMmPGDG699VYGDx7cdOvMnCLaGBNPPBxjjGu0cY2TeGjvobVxtfdc/6dc1za23WBeeOEF06pVKyOkMlYkYqSUBs8kCR8Z8pBSnvP7qpQySikDmNatW5tXX33VaK2N4zinutSbjLffftt06tTpnN+X8HF+PZRS5qmnnjL19fVGa/3dC/UUOGWLQgAq6XPPppDHPUlgPKsi8QUpLUpLDzBz5kzKy8sRQqBdE3SQDckcTMIvb5q5st73FftpgX7fmyNHjjBt2jQGDBgQBLqbi/r6et577z2EEEFLk2TNLySkqUluTx+Px2loaAiK8r73a5tT3NEm8d9GIeGLMJMSrxAk3E+Jr2pj2PvVXl5e8DL1dXUY4/uKG/OQ/YyBkJZJcrD4XLoPHccJ/LJ+emphYSF333339x4mcybvpby8/Lg1HrpXQ84W/lFujCErK4vs7Owmq805ZUGB0eBrikKhAZdE0E4Y0BqMC8YAAqksNALXNSglUeH+CDlH+IKsOQ9pP+PED1iHAiKkOTj2OG/+YLYANx5HIBBKghBoY5DKEwYSF2kcjNYILFw0tgYNID0LQxoXgfZeTKZnm4WQzONcWKvfZ054SMiZcrYUklM/rQ0oKdmxdRuz5swjv3VbHnz4YTp0vAAjBcLgPaTkww83MnfefFRWDg898gi9enRLeKaMZ3GE2lVISEhIi+E0BIWASJRNH27k3/74b3Tq2osf3H037TteACZRhaoEu3Z+zn/7+9+w4u13uW3YXUSjXoO4RoOo+YKcISEhISHfn1O3jQWgNRKICAVSYRuBBIx2iUQilB06xJ+mTmXl2+9y5ZVX8k//9CTFxe0991OQCOWHwTOU5ES1E37x2//+DL8yZxHzLReuua6oOeZjc/7ukJBj0YlH6voz33L+mJTvnZjTilEgDFFjowAnkk1cgDQNCNvGiQumTZvGzDkv0K13b/77PzzJwAFXg6tRSnqxCUkipbYxgTbjMHiVicJgVMIfZxKZYf59EJ6BBgJhJFp4kRs3UahoGY3UXlIAKvRzfxfGdTGuQQuFkZ6fVhmdyM0TaKEQomk8noZE3A0/QTyxIU3j90Fi0AmlyFvv3jcbswFJfBZ6YUOaCu0YEBohGzDGxhgFJoYQEVyjMdJJxJIttFFevqoEhAva8bp3G4XWEilFihlx2hFliYM0oIWFKwzaaUAYwfyXFvLHqf8bKzuXJ/7+v/PDH/4QJcBogzTGOxwBnZI8m3kYwMjkRGLh/f2NpwtagEE3BvYTR5r/L++w0ZyjcSEtDAOui7QiSClxDGhHJ+RrqsOzqdZc4+sca0Ekf+4//PuYqSs+JG0QBozGdeMg4jiOQKKIRiNIIYFI4okS4wq0NmgNQhiUEAjjrVl5ggP6NAWFQbomYVxIpLBQkVw2vv8+f/jXqRytquOxX/yS0aPvByFwHNdzTcmEBRGoT5m7abQEW7rBoa8MKCFACaTxlEotDEb4uqd3fxVJV0V4r5PJArXpENTV1vDqwkWUHq3lrpEj6N61SyJN29BoyjXRzG58sZ76VZPyjNRnB583agEhIWcF4538SBUhFotQXWWzZeunbN22mbIjBxC4dGhXzICB19Kte0+ysrNwMYkiWQFCNuo4SUv59C0K4/2QMGBJi/179vDkP/yWLTt28tBP/4ZHH3/MG96hNQaTSHLyd0jmCwqJRhkHgcEIz63kCInEoADLBaUNWnrCwL8qAlAJ6aIFOMITHmHbuO/mcGkpT/3ud+z4qoQOXbrTs3sXjHs2V5nv/z2ZpZC81jN3vYekEUYjhItQFocPH2bFyrd55pnZfLzjc8rKStGmAaMhNyuHC9pfyFVXX8Ujf/MI1143iJysHBzHBmVQUhy3ZE9fUAiBAqJKUnGknKf/81nefmctw++6n8d/9SvatWuHY8dRRqAdh5gVSZyGkqZ1AKQHfoFLUJmswXJkojmiwlUCOxGT0InsYOkapHARxqAFaFcjEUjdeIN0wusUCorvJt5Qh+vYGNeloT7uKe3CbyaTiBUkYkLfHw3aBUyiPsgvqDvmOca730LIRMFfYo2I462RkJCmQCoDLhwqO8rv/vkpZj83h6MVVXTv2p077rid3hd1x6632bF1Bzt3fcrL8xew/oMP+Lu/e4KHpvyYnOyYN+xIuCghEUmu79MQFKaxDAKI19by/KyZvLVgDj269eJXT/yCnt07A4aIFUm4WxTyOFM8szHCIIQLroQGg0J650nEYCyQxuv3I1wJtosWGqSVOGhE4C3J7EhO0yIBS0ikkEilPMtZgDAicV01TSZyjcG163Ecl5q6OPUNNkJFcAGpDcK4xGIR8guLUFYEow3adRFCoqzk99AYnzqfOVFjiLCK/Uzw/EVV1ZVM/eNU/s+/T0NFY/zil08wYcI4unTqRE5WFsIoqiorWb9hLf857d9ZsmQlf3jqD3Qu7smIkXciLInGQR0THz0NQeH5r7SrUSiMdin5Zj91NbW4hXFsJ07cgIXBEt4mkJLEfsjcG5+8qI0xmHgte9cu58jHnxOthFw3C6M1dbIekStAOTiWxGrdmx4330GkXSscS+K6OnBk+Epn5l61psWzHTTCeK7OINFPNH4UTWjNKqM5VHqAX/z6/+XDLTvQSFwDGBdLQZdOHbnq6msY+oO7uOmmQUipkhpg+h8zz7o+lhO1TmnOZpHnFwKEZv2695j+zEyEzOaxv/sFv3ricQrzc5EYpJGgBVnZWdx51zC69WxHTXUNb729jmnTnuXKqwfSvrg1CBclJUqckUWR2HWWwsElLy+HB//LJKzKA7z/3hae/tep/KH77+ndvRMGB99/myIjMn5vCHRdLXuWLWbXotdpVWtR5MQwEupkPVra5AkbJw5Vlw6h+KKribUqxBUapPJiEglPicr4a9V0yMTDj4mBZ1EY46dhN+Xh5LmcDpeV8e7q1ewkSc3gAAASlUlEQVQ/dJReffpRmF+AEoaqynI2friRlW+vZtFrS/n53z7KxIk/Ijs7lmgQ6L+f5Dy3zLzR8hRzkkMLommorTzKKy+/xMFDZQwYeCsTJvyI/Px8bLeeiBTgSoy2vNR9HPr1vZhR9/2QdWu3smnjNjZt3soPOt9ywuV4GhPuvGwnIyQag+vEuaRvH373P37Lw5N+whvLFtPzP7ryj//4a1rl5noFHOL4TZDZS8KgsvK47O5xdLnkWhQRlEnEHYSNqqkmtvljvlnyNtWRNuRY2Z47WwgcvBQ1v3miIkyQOVUaxYEJkou8f/vXsKmL3yTadVBSEotl8Q9P/iNDbrsF4zhUHT3Mjo+2Mn36syx7Yzn/81/+hY4dO3DnXcOT3scJ0koykeRZ5X4sLzn7SySuQcIM9Au/RFKPrAy/Qk2Edx1LDpSwcuUaoiqLYT+4i85du+Fo4yXWGIPAwmiDa1yE8hIyBg26jkv69GHzR1+xYcNGht49JBHMTr3ypzGPwoBwsAW4KIwGR8M1Nwzmb37yCL/93VPMf/YZ+ve7iEkPTvbiGLZDVCmU8N6sMI3VBYjMqxEQQmCiObQeNIw2gxsAG3Q2RlggGhDl31By4BA1Jkb7a65CFbfDWBJljGfqQaJ0QiCQZHBZYpMicDGATQRtfO+qxgiBi0IZ3Zik9L2RIBVWYj1rIrRucwEd27XC1dCxQzv6XHIxfXp1pPzgXtZt+ZiFCxZz401DaN3WAhqQRiCxEF51YEaehhpwjUHZcZyjR3ArK7x20y5eoZEyGKWRtgOuQljZRFoVQascGqIKR0DEKGJukuaUgdfp1ElWdBKKkWlUOoQQlOzbS93RClR2hG59exPJFlgGLGN5RamWp5QqoxBYgEPPHj3p1aMzmz7axt7de6iri5OXn3Xcbz8N15MG4mghcJEIJak3AqK5PDhlCrs/38lfZs/i6aem0r1nXwYPvgYtJA3aELUECu1tWI0nJDJQUABoIbCFAgER46Ac74QyEagt+ZIv1r9Lfrsi2t9yDaZNDO263k3QbtIM5cx1R5wNpPBzYbNxhZVwRTk4qISgSHQGaAqEACvifdQaV0RxdSLzCYgDUVNPv8t7MPIHN7Fhy8d8vGMXB49U0qptHoY4EoVwo4DM2LQ2gUa6tcj6Ct6f8Wc+fW0JresNsVqDpSWuMthRF6QiYmeh2nRh4G/+K61uu4a40F5yADLJfXg+k9oPIPVsMCBcQHCktBS7poG8Cy6gTed2OEDEgHQVSHAxuAIsIzBSYUSEnPx82rQuAFwqKg5RV2eTl599nP19mumxjW9SofETXvOLCvjZ3z7K+h0f8d6GLUz913+jW5c/0LVrJy8lFINO5D/JJktTTE+U8QrqHCSOiCGlhUDj1h7h0Nr11O0+SMc7RpJ1ycXeDwiQQoZBvgzCGIOQFu07FBNFUVtbS31dHZ5JoxJph5mpKPkIY1BOA7g2BQX5dC4uprDekBNXRLXEGBuimoq6aup2lmJMPiZiUWlJIihyXIORBq2MF6/L4DOjqXAcBzBkZ2WTl53T+I2kSyek8WJHKNAGiUApTwy4RifGRBzPaQoKiTBeJxthPEFhY7DQ9O7Xl8d+8Xfs/q+/ZtmShfTq0Yl//N1vyc7JJshLSbwDkdFagsYyDi4SV2TjKokl4uj9JZQtX4Nlsmg7bCgU5HnzPBJC4lwM1wk5O3h++Cg1dQ4OgmgsRsTKAiSCCCAzOhMQwKBwaY2IFtDv/r/hsrsme5W/UmEsENJG6gaqli7ms3+YSl7XLhT06MZhLLJciWVrtKVxLQeMQAoVumK/A3+YHK4B221URUTjB6H9eLPfTEniiwaD5z4/URnpaao13gt7iRuenaDwBhihBHeO+CGPP/YzYkoze9YMXpwzN0j19HLbJa6QmEzeJEIjsL3CRKOwpcFxKmn48EMaNn5KhysHkHtFf0w0EpwV4ZjMlk5qAw8hLSoOVbD2/U3YaHr06EbbtgWJzWdhvN4G5+atNiNuVFAfU+i2haji9kSKO0DnC4l3bIto3xqVF6Fy0zakMHS8eQCydSHZic4PaOmlO6NxM/9SNQGGWFYMGVHUVFVypOxwIvnI6/Tg5xBI4Y2n9jwYEm1rqmvrAIjm5BKLqmC2UDKnISi8u6W1IY6N48Qh4X5SEQVIsrJzmThxPCPuGs7R8iM8/b/+F+s/WB+4YYNWtsdVp2YS2nO0uWA5YHQcu/wAR99cQ8RWtL71ZlS7NiAbg9VKqXAaWovBgOvVbCC8O+ib7khvQ9VWVjB/3gJWrl5LQW4RQ4ffTlFhfiI3xdsrjX2oMhShMTKObdXToOqxZQNG1GNMPRbVqPpD1G3ZSPn7G5GdOpI7ZABWTJFnC8/VZHnXOKOPiu+J54FoLM5t1bYtsawINTU1HDpwEKO9hALbaE9YaI12HRztYLQLGspKyygpPQgoOnbpSCwaBff4FuWnV5mNoVvvXvxw+AjyOnekTasikoMsroELL2zPE795gpyCIg6UHqK0pARolEiNJk+G7hIhMVogjacRRd1qqj7axter11PQ8xIKh9yIjlqN1yO0Iloe2psfrywvaWHlm29SVfIlDdrl69KDbHn/Ld5a9RZHa+I89PCPGTHyTixLebJB+A0ykx4ZiNCCaIOFsiTGAssRiUa6BqRB1GhK12ykqrSarhN/iLq4G1opInUGV4EdMViO19ZGqwy9SE1C47Vp37EDha0K2HukhF2f7SRe55CTa6ENONolgvKyn4QXi0BJNm7czJaPthMras3lV15BbnYU5bjIY8YbnLKg0HgmyzU3DuK5gYOpjyrcLIU2TiD1JQJtNFdceSX/9y9/wRUSoVRSWwqNEA4EWlUGYiRGRxAItIhjVZZRsXI1do1D4ZBbiHQqThSGGUSmXoPzAGMMESuKG6/l355+GktX0qA1iBgF2YJuXbrx8D338+jfPkq79m1wXAcZuJy05ywGMjfv00vwdpDEvX9i4XVWFhgaDpZw8MONiHYdaHvbUOz8IqRWSGUwUuMm+g1Jo8CITA/pNAGGCzt24NpB17Nj10JWLH+D0WNHc8VV/XCl9ASu6yKlxDUO0pLUHj7C8qXLOHjwIBcNuJ4rB1yFJb0Y8hl3j/WC0QorSyGjERDQoDTCuIGVIhAIaWG0g4xYCGGhvbQnLwAuXO/5AOK0+xG2DIREiRiO0WhZh/vJVurfWocqakPe7UMgOwdwEvchFBRNisDT3AGINOYXSWgyxcQAUmCkpL6hDhVR3H7HcIrbZRPXhmhuPoMH9OPGQTfTrlNXrJjA1XGkFAiR6DOPP48kk08/g4m4xBXUC+kNxXE1yolj6UoOvLMCe+P7dBw+iVi/y2nQEVxhkFkGrdyEUikRxmvPD2SmPG0yNLkFrRg7dizLlr3Dtm2b+dPU/+C//dOv6dmtC0pZqMScHIWisqyERS/M45UFi8jOy2PUuLFcfMlFxOOGGBx3rU+j4M4rAvOC0gYhvZINGdjPfpDbExYgMVp7GyTpNTLa3gbf9CIu6rAajlDx7gaqPi+hwz3jKOzTG2kMjnBQKvKdLxVyamiRmChnainZ9yW79uxFuw2Jrwss7c1VbNuhPXl5uV7xqNFJVdzCKwJLfPrdSKSRSBFBoXnsb3/O0NsHAl7WiTQ2IHGM9CwHLUAbhDCJHeT/ogzeB4nBXDEjkMIQNQZlhFccWbqPsmVvkOfm02HwEGSrAiJIHKFxhVeUa+FVB5tMvkSnhTjmY/LXvfMXo7nmusH8aOJk/vTv03hpzmxKD33N+PGj6Nu7Fxe2akNVTQ179n3JisWLWfjSyxysqObqGwYxYdR95EqBJU2iKLLxVxljTl1QSCSSCEZ5B74FKCRCRAJxoxCJ0Z0Jfdnv4hH8QRZn0Nm8ZWHAtTU6ux6x+yuq1mxFFBbT4Y5hyNwcMC5KmqS+PyHfF62iiTlydfzpqX9i2n9O9ZrwGe8hjINlZfP//ctTjL7/ThzXxegGIhHv2BbaSljF8tSG0RmDMRG0q8BtQLtxAGwNIuFSEhgiUnhTSJQ/eEQ0CqZv3fiZgZGgpUbpKFaiZ74TAePaVG9aS/1Hn9Hm8h9gXX0dbkxgKS+uZ4zxChLBL7oKOalSkaiJSLjzs3Na8ctfP0FOXi5T//S/WbVsMe+t+itFBYXk5+fjaIeyI0dwbJuIZYGl+OzjHcybMZP/56ePcuEFrT2LWZDoeuzn6p3mGxYp/2r87/Fv/kSp4pl/410JdkwQNYrytTv4asNO2g++icj1l1KbK4k5xhtQhMl4mdlcZOcX0P+qq6hxBQ1GUlNVlehMpsG4CO0QiRoc28Y1oF0HKc40TpToSCRF0P/Mz+dL6HUpBHvkvNsLEpcIQhosbTy/t3LhcCn7lryNjmeRN/haVHEbtD/tUfg9fjP92jQ13vVyXYOjXVq1bsUvnvgl1w26nlUrV/Lhxo188cUXVNfWkJ2dzeAbBzNw4ECuu+4aVqxYyYwZs/iXf/5nVr/1DiNH3Meddw2jR8+uKCuxuk/Hogg5NTRgS0FOpcPuzTupL2pF4ZBrsTu1owqwpNfnx8gwQtE0GNq0a8f/+P3/pKy8CkdEMMpKaClePyZvZrtFuwva49ouUilvnrsxCY3pdNxAjS4RLUxSUNr71nnQ6u8U8TRdmwakMSgTwdL1VG3ZTN36L8guvoTWtwyEPAuBSLoXIWeMEGitabDjRKNRbr/9dgbfdBNlhw5x5MgRXNdr9VHUqoji4s4oJbhqwNX063cp/+c/nmHNOyv54IP1rFi1kqlTn6JX7x5Be/xQUDQxUkDUNQgVo+eoUcihQym8og8NSpHvGoQjqI5IIlJwfOutkDNBSEWnbt3p1Murfj7RYW0M2LaLMS7adTHSELG8jBqTEBZB2up3/0Z0ojGNMRqBe9wzzImMiPMJ47XM19Lx4kdCYMrLqPjratT+Otr+eCiqbw8cpbGMdwyFwuL7IQREIhEM4GqNMQalFMWdu1DcuWvwPGM0tt1APO7SqqiIH038EQMHXs8rCxbxyiuvsXv3TqqqK4HGmSKhoGhi/GlrIhal3XVXYaTBtiQRI4nUe6Z1PCqPmfwXcuYIhIqCMBitvapTIREJ/7Zvtbmui5QCKRXGCLR2wfipqTJo/H1qVp720r4tiaNt/BHDjXZJpgeqvxthQDkgFLjSxRE27pd7qF67DRMtos0tNyELvXEEoXBoGqRUWEk5Mn7Hh8Bd6g/2MmBZEYyRaDQRJenbtw99+/49o0eP4ZNPdtC5c+fEa3o7IhQUTYwGXGUwKoIwknphcBDkGOl5KaQgRsY2DT03yMaMJZl06CcfP0r5LSEEQspgA/hRhtPxPGmjubC4I7/41S8pr6ihZ6/ujS8hSIwLDg8/r/e7wIkI0HXs/fBD9nyxn5633Ues38UYDcprHhfSBBhImeWhgjWeIJFMIYQ3elQIPy6USPxAcXGfnlzcp2fwGv4+ESZsW9qkuBgcXK+1tRHUS69xYrY2xOLe8eVGJUgRCosmIrmBeOPxfEzyvdGIREpsIBwQic9F8OzvLgLWuE6991xl4brSy/cXEhM0ydGJcrPz+AQ0GlwH4wjiliZuH2LvK69Sseoz+ox4gII7roUsGwsJMkwVbwqCFkknfxKeZNakFn6SSBH3HscaeaGgaGIM2is4dBVGKOoVuMIQMzaW9jRaIxRShE0AmwqvuXKjE8nPRPLwBYVf7Oldf4wMhIbBK3XwEw1Pflc0rrbR2vGUMCRSKFTC5jdCJ1J1BfI8FhQam7hbQ8TOxVUC1GGs2mp0TQFEi9BRCdkuUkisTC2+bWZM4n8nQ5xQUCTtFeOPsE5VY8M71MQIf46I8a65FF57GyuRIulK8I+n0D1xtjDHfJ5asyDM8fPCTu9OiMCCEBzbGl4Edsr5jMFb65YlkMYr1tW5edTktkZqSW6Dpl5rpAoDpU3Jd2n9jUrUaa740KJoYvzxhIlsmmBktvHcEo2Tg8/3o6TpOH5I5Lc969urok+vS4ROjIBOxDyOExZhkqxBo9GJXk0gpNe2xsZCGEFEG3SiIjdM7Gg6Tk1QJD/72J84cSFoKChCQkJCQk7K+etEDQkJCQk5JUJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUkJBERISEhJyUv5/07blkxAuo0MAAAAASUVORK5CYII=)
Prove that the given two triangles are congruent
![](data:image/png;base64,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)
Maths-General
Maths-
Are given two triangles congruent? Prove and state the name of the postulate
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)
Are given two triangles congruent? Prove and state the name of the postulate
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)
Maths-General
Maths-
A man bought a rectangular field of length 144 m and width 64 m. In exchange for this field he wanted to buy a square field of the same area. What would the side of the square field be?
A man bought a rectangular field of length 144 m and width 64 m. In exchange for this field he wanted to buy a square field of the same area. What would the side of the square field be?
Maths-General
Maths-
Evaluate [(−1)13 / 213 ] + [23 - 110 + 32 / 32 - 22 ] + [(7/11)3 ] ÷ [98 / 121]
Evaluate [(−1)13 / 213 ] + [23 - 110 + 32 / 32 - 22 ] + [(7/11)3 ] ÷ [98 / 121]
Maths-General
Maths-
Prove that triangles ABC and ADC are congruent using SAS congruence postulate.
![](data:image/png;base64,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)
Prove that triangles ABC and ADC are congruent using SAS congruence postulate.
![](data:image/png;base64,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)
Maths-General
Maths-
The floor of a room measures 12 m by 1 0 m. A carpet is placed on the floor from wall to wall. What is the area of the carpet?
The floor of a room measures 12 m by 1 0 m. A carpet is placed on the floor from wall to wall. What is the area of the carpet?
Maths-General
Maths-
The perimeter of rectangular piece of paper is 56 cm. If the length is three times its width, what is its width?
The perimeter of rectangular piece of paper is 56 cm. If the length is three times its width, what is its width?
Maths-General
Maths-
The length around a rectangular mat is 21 m. If its length is 5 m 60 cm, what is its width?
The length around a rectangular mat is 21 m. If its length is 5 m 60 cm, what is its width?
Maths-General
Maths-
Compute [(64)−1/6 × (216)−1/3 × (81)1/4 ] / [(512)−1/3 × (16)1/4 × (9)−1/2]
Compute [(64)−1/6 × (216)−1/3 × (81)1/4 ] / [(512)−1/3 × (16)1/4 × (9)−1/2]
Maths-General
Maths-
If the length of the diagonal of a square is 12 √2 cm, what is its perimeter?
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taEbf7FLKO3kf2iY+RKe+ZR+8Zyn3knPxEjstHCFvXgYlpxZjkKUWwXNBS5TjmnPoEWcce+PjeyCTr+AM9Hum9dxC19RACShsxs3g5Qtd3IbHjkrS/a9L+rj1qiwNJPSAXtqMPEL3rFN73VGCU3EGkl1Shx0T7CHGeidYt+qcOKNoMEe2YaTMxLjYTs8pWYWpeHcaLbGcU1iNi00F4uiUyPfShcBcZhz9Ehvys7+TIfaQevIVYaczBq9uxsGkv4lpOawcx0Q5ERHvqU2Sf/BjhG/djctYSTMmpRsjaDjmGN/UzE+1jVLTHH2q7i5ILOUU7S+60IpsPwdP7gba9zCP3HrfFAWSKZPPOfoG49ksYk1OHUWHJ8JTXoufoca9oLXVA55lo3WKgaLPSPZgUOBcB+dUIX78P8+u3iWxrMTmjHAElKxCxrhMpnVc0Osg+9hDZIowsaeCKiMHTc1uj2BAR7SJGtLtOymcfyrYijcMiZ7ldNj5ApggjW+XxADFyyxu4ZD2Cqjcgcmsv0uRi5T1eIgkf3x2JZEobonDZvqLkGLEtBpStRPSOoyJZiljaohyzR21xAGyr+ed+i3hpu2PzlmF0ZBrSl9Sj59gJE20f4jwTrVs8Fu1Db45WRDs5aB6CCpcifvdJTRcsXNmCaSLb0ZGpmJxeqnmudGnwWYw0GKWKQAl/N9E+G5kCjx2PWXLHRURs6RF6kdB2XiO0TInQMnjXMOB7I5Wni/ZDuch7j6XTFgfCgEBF2+GI1mOiHYA4z0TrFj5FO3sugvJrkNR6TvOxcXvOYO7SZoyNz8boaA9ml61C1OaDSBJBZEgjVtmyI0jk4Om+ZaJ9BihaHjMeGx4z5rqThDT5WQVr0ez3GFS0cjeQTplSsrKNr+8SRrX5Zz8X0V4W0TZYROsDcZ6J1i0GilZTBwFzMDtnCRJbTuttbMqBG4jaflRkuxVTcqsfpRHCNI1wWSMJpg2YTmAON26XifZZ0WMiESyPm+a/e+/I3ylaO1b9eapo5XjxIv800fLzPBPtUxHnmWjd4knRpmPirCAEZFciYdcJFS0bMisKYltOYV7DNkzOrMBkTymClqxD5KaDSO26qlFtzomPNaVgon1eRBSHRCTEjpFPTLTuI84z0brFk6kDr2hnZVUgfudxeA7e7Bu5vYvUnlvSsI8iqHojpuXWYnpeHQLLVyNy4wG9/WW5kon2RWAekZI10Q6GidZ9xHkmWrd4qmh3HEPagRsqWi3NElmy9Ih1snNqNmNK1hJMSF2MoMq1iN9z2tsR5HMV7ZoOE+1zwGNjx2dwTLTuI84z0brF00V7HGkiTm3EHCEXWZJUiV4pW5YkTcoox+T0MgQtWYvo5kNI7riEhD1nELpun1e0O0+YaI0fzNNFK59pHa2J9ocgzjPRusXgoi3vE+0tbyOWRs7GygEv/s6cbeTWQzpANlGi2tERKZi1uEFlS7mGru3EIj6wYBGt8RKwiNZ9xHkmWrd4QrQeDybMCsTMzDLEbT+qjy46OVpvo/U2av7OkiTKdmbRMn3SZnxCng6QLVy+CwtX7EaIyDaRz+1LBzHRGj+ER6KVu6moLT2YVbwcs0S2Uc29Kl9tnwKrNnzB/DdFm2CiHRRxnonWLR6L9vGTYRTt9PRiadDdOncBn71P239N3r2kHZDfhaSOS4iV6JVSnZ6/FOOTCjE+sQBTMioRWL5G87RMJTDdYKI1fggqWsErWka0jSrbiI37kdx52dsu2T45r4EPPBIw5Bx/iLjWcxibu9RE6wNxnonWLb4n2p4eZGVlYkJAEKakFCB0TZvcmh1DXMsp4STiBb7z93ghdvcJRG87irD1+zGvbgsmpZfhPYlsR0d4MDVzCRY07PBGtHxUVxr546jYMJ6P/qLlbFwcgA0oXYmQ1W369KK3XQq7fcNxgzQJGCKaD+P9jCV4PyIFmSLaXor2y9/aNImCOM9E6xb9RdvbewjZeXmYGDQfExNyMX9pM4JXd+jAVug6vj8Jo9bgpjadE2F6wVKMjcvGqIhUec/BzMIGREv0obndEx+ZaI0XxhFtes8dxO86iYXLdmBO1XosWL5L26CvttmfsA1diBbJzl/RgvcSCzEuPAk5VQ04dJzz0ZpoiTjPROsW/UV76PAR5BYVY9K8UEyMz8WcJRswr34H5i/bifkN259kmfPzDtmuGUHS8Cnb8SmFGB3lwYSkAp2TNkVu3TTPy1mWfHQiw/AH0046yY60oaS2CwjfeEDHAuaLcOcNbJe+kDbMKpiAJevxbmw2JkUkoaBmGY6cPGWi7UOcZ6J1i++J9ugx5JdWYGpYHKZnViC4sQWhaxnNdmkVwaBoxLtPG3/o2g7Mqd2EqTk1WmM7NXuJRMZbEbvjONK7vRPR6GCaj85kGIPhFS3viO4ibf8NJLSekwj1iLS5g97256td9kfacPimbswT4U5IK0FAYhbKlq3CsdNnTLR9iPNMtG7x1Vfehek++vhjHD52AgUVVZgZ68GciibNwyZ3XkEKJ/fuuOybTnJF4aAZt43bfVoa9z7MrliDMXFZGBOdgblVG5G097xEJHdMtMYPQ9oQc7XMuabsu+Ztf77aZn/6JuyJ2XkCgWWrsCinDNVNG3CSa4ZJP/j2m2989o+RhDjPROsW3xftSRRW1MjVPhsLlm5BGpeg4UCWMHB+T58c48Qy95Eut3eJIuDQDV2YnFWpOdvJGRVYtGIn4vi0mfMQxJHB6x4NY1AksmVttrfdcT7kfnMiD4a04dwzn2v994K6LQgrqkbt2i04de6CibYPcZ6J1i0c0XIVXK9oaxGQ4Ij2BjKPi2RZmtU3GPFUmBYQOD9oWs9txMvtHR9amLl4OSbK7Rof2Z1Xtxmxu46LjL1pBJ2pyldnMoyn4ORslYHt0AdswzkU7QER7dKtCCs00Q5EnGeidYunilYaJec36D+59zPhyFZu1ViHG7KmXVdpGJeQj2m5NVjUuBuJrWd0AhrtCPIdX53JMAaFbaZ/m/MDL+o5pz/TdcXYtk20TyLOM9G6hV/RUrJy6+WzsQ+CE0V4J6/+EIl7z2PB8h2YmsslcSr14YaF8nuS1tg+/Rl1w3gZsI3lnP7URPsUxHkmWrdwQ7SPIg1p3BQp/xbfehYLG/dgekGDRrZTs6sQvm4fPFxSe+D3DeMlY6L1jzjPROsWrojWgbdsKtsHGt3GSwTLAvMp2dUYn7JYIts6hKzao0+PMVfrLf2y6NZ4+Zho/SPOM9G6hauiJRrZcpDsvg6Qxe4+rQNk0wrqMSrSg4mpxQiR31P2XXkUBdsAmfGyMdH6R5xnonUL10Wr9MlW4ABZnESw85fvxLjkIrwfk6lVCZxXIYEDZL13JLJllYP8myJe3/szjOfDROsfcZ6J1i1ejWilofeV4nDFUi72GL3zOOY17NAlcSZ5SjE9vxbBK1uQ1HZe/j0uHc1/lwNqJlvjh2Oi9Y84z0TrFq9KtBrV9tU8Up4pB28gtuUM5tVvE9GWY3xSAQKKVyJ8fVdfGuFDla2J1ngZmGj9I84z0brFqxOtINJkg1fZyj49vXd0Gsagqo36MMOUzErMWrwcYWs79N/m1Iq6ra99GcZzYKL1jzjPROsWr1S0hLIlR+9pxMqcLWXLJXEoWp1eUWQbu/MY0n193zBeABOtf8R5Jlq3eOWi7UOf1pH9svSL1QjROySyrd6AiZ4SjE8pQkDZKkRsPOBNI3A7ln5ZGsF4QUy0/hHnmWjd4nWJVumTLR/XZQeI2nZE57jlyrqjozP0CbLILT1I5X9HXyRsOVvjRTDR+kecZ6J1i9cqWsE7QCb7l/fk/dd1WZLAynUYm5CH8cmFCKpa510XquOiNwrmI7uObA8/uT/D8IWJ1j/iPBOtW7x+0XqrEShaT88dJHVeRsTmHgRVewfIJqeX6dLSrEbgAnzZztwIFt0az4GJ1j/iPBOtW7xu0XpxZHtXZ/RK7vKmEWZXrMWE5CJMSisR8a5HTPMReA7e8D7WK/9Nznd879MwHmOi9Y84z0TrFm+GaJ3Iti9KPXpPH2oI23AAs0pW6YxfnEA8sGK1roDK7bylX0w5mGgN/5ho/SPOM9G6xZsi2kdQuJoeENlKpwjf1IPAyvX6uO7YhFzMqdmIpPYL3u2k8ygmW8MPJlr/iPNMtG7xRopWOoWWcx17gOSu67oA38ziRoxLKtAFHzlAFt18SNeNypZtiEW2xtMw0fpHnGeidYs3TrQOKlw+PfaBrtLAFUwDl6zD+3FZGBWZhoDSVYjbeUJX1qVo+d9psjUGw0TrH3GeidYt3ljRClr6JaRrNcIVhG84gKk51RgV4cGktFLMr9uKmObD8By8CS6+973SL8Poh4nWP+I8E61bvNmi5QAZ5zrg+mO3kbD3HIKb2jCjaIWItkwf2Z1TvQGxO47JNne9ka10KItsjYGYaP0jzjPRusWbLFovfbIVPCLbxPZLCFnbiekF9RifWCARbhUWLt+JhNazGvnyv1WhbE24Rh8mWv+I80y0bvHmi/ZxZKvClf+WxI5LWLSS64/V6+O63mXMt6psOXeCwv9mE63Rh4nWP+I8E61bDAXRehFpSmfRxR5FoIkdXMa8AzMWr9BVGiakLEbwqlak7b+un3sjW0sjGF5MtP4R55lo3WLoiFagQI/2yVY6TkLbBSxc2Yop2VUYG5+LyRkVWFC/DfG7T8n2fQ81yH+/StrX/owRg4nWP+I8E61bDCnREkao0mnYcdIO3kJcyxmErG7HjMIGjI5Mx/jEfCxs2I7E1vPIFMEyjfBG/fcbrwUTrX/EeSZatxhyou3DydlStgl7z2PRyhadgEYnDi+oR3Djbo1sOXk4I9tHOVub8WtEYqL1jzjPROsWQ1e0fdUIvXdVtvEtpxGyag9mFS3DlIwKTM+t1moELvbIVXV1/THpbJazHZmYaP0jzjPRusVQFa3iyFbgMuUpnZcR0tSKaTnVmJBcgJki3fC1nfL3K7I987v9Zvwy4Y4oTLT+EeeZaN1iSItW0MhWOpEz50Hi3nOY37AN0ySi5TLm03JqELxyD1L3X0f2iY80uuX2JtqRhYnWP+I8E61bDHXRKiJN5mApWuZk41pOY0HjLq2vfS8iTd+jtvbC03NbI1qNbCnbgfsxhi0mWv+I80y0bjEsRKt4I1vO+MXFHmN2n8Tc2s2YkFqMsfE5mFlYj9DVbUhuv6j/T7aU+cjCROsfcZ6J1i2Gj2gFpgP65MkOFb39OBYs36X1te9HpmOqRLZhfTnbrCP3dYDMZDsyMNH6R5xnonWLYSVawVuNcBfpvZTtdcTuOok51RsxIblQl8UJLGsS2XZoZKvpBo1sOTgm37e87bDFROsfcZ6J1i2Gn2gd2bISwSvbmO1HsKC+GTPyajEloxwzixpUtnxc15nxi98x0Q5fTLT+EeeZaN1iuInWwYlsKU8u+Jiw5zTm123RSoQJKUWYXd6EqC09urJu5iFb7HG4Y6L1jzjPROsWw120/G/POf6RCPRDiWyPYnblOkxKL8O4hDyttw1b14kMiXxzTnyspV9OjtcYXpho/SPOM9G6xXAV7SNEttny/8A5D/gEWeS2Iwiq2oD3ozLwzoIYzCisR/yeM7LtXe/gmGBR7fDDROsfcZ6J1i2GvWgFjWxZOyv/L1zGPGJLD2YVL8fYuCyMS8xDYOUaRG7qRqr8/+rjuse52KNFtsMJE61/xHkmWrcYCaJVGKVKZ+Ojusn7LiOaA2QNzZiYVizCzUZAyUpEcWVdEbFOHK7/3ybb4YKJ1j/iPBOtW4wY0QqPBsjk57TuG7rWWGB5k86LMDXTu0pD9NZD8v99Q6sRdIpFbt/3HWPoYqL1jzjPROsWI1G0WYxUhTTpdFGbuzG3aj2m59ZhWm4N5vZb7PHRXLaWRhjymGj9I84z0brFSBKtAzudM5MXlyqP2XYYQUvWY3J6uS72yJpbzmXrOXhLtuF2faVfIl9f+zPefEy0/hHnmWjdYkSK9lFke09n9PJ030T4poMIKGvCRC39ytV5bWO3H9XBMZaHMbq1yHboYqL1jzjPROsWI1G0j6Bsj8n/n0S3yV3XEL7xoC72+M6CWLwXkoB5tZt0XgSVMtMIciwsqh2amGj9I84z0brFiBat4KQRGK0mtV9CyOo2nVZxTEwGJqWXYv7SrYjbcQzpPXeQzcjWZDskMdH6R5xnonWLkS5arShQPoSn+xaS2i7oo7lBS9ZqjS0no5lXuwVxu07qE2Ra+iXHw5uz9bE/443EROsfcZ6J1i1GvGj78OZtvXW2aQeuIXzDfq1C4KO60wvqsXDFLu9ij/J59rH+iz1adDsUMNH6R5xnonULE60XR7SaSjhyF4kS2S5auUeXMZ+cuQTT8uoeLfaYfex+n2j7ZOtjf8abhYnWP+I8E61bmGj7I7KlaI/e05ysLmO+qlUj2ompxSLdpQhdvRfJ7Rc0ss08IsdGUwhW+vWmY6L1jzjPROsWJtrv07/0K10kGr/3HBY2tohsGzA+uRDjk/L1oYYkkW3OiY/6Jg63AbI3HROtf8R5Jlq3MNH6RoUrAuXk4fGt5xHc1IZJ6RV4a044xsVlI2xtu+ZyGdGyEkFTCT724wZOmsPSFs+OidY/4jwTrVuYaAeH/9/8//d039GVdectbcaElMUYG5uNGflLEbyqBQmt51R6LP3yHieX5Uexs/LhOOt6Wf1gsn0WTLT+EeeZaN3CRPsUKDFGjhLV8ljEi2xD13boABmrEVhvG9zUqmkEPqbrnRvB3TRC+qE7mh9O77kFT+9tXT2Cv/va1niMidY/4jwTrVuYaP3hzdnyZ49ILbnjolYfTPKUaXQ7u6wJoWvavYs9HpXI9tjDx7f1LyvadPZ1mMK/hoTdJxC7/TAS9pxByr6rOqG5yfbpmGj9I84z0bqFidY/3nwtc7He4xC76wTm1m3F1NxaTMmsxMyiZQhf1wnPQU6vSNHKdi8zh8r9yL9P0SbuPYOQZdswr3I1wla3aZSd3HVVLgIm2qdhovWPOM9E6xYm2meDsqVoOcViWvctXcZ83tJtmJpdpQs+cl5bTrmYKtLTKPhR6deLy5ZyUMFrTvahypZTOAbk12JyUh7mLFmHqObDSOy47BWtRr0vSe7DDBOtf8R5Jlq3MNE+G5lEJOaNbO9rGoGR7YJl23XdsfFJBZjsKUPwyj16K8/BMY1uX+TYUerH7iPn5CfIPf0Z8s79Fvnnv0LOqU8RI6Kd4inBqNAEzJBIOmJzj4j2klZHeKNeE60vTLT+EeeZaN3CRPv8MFLVaLX3jtzKn0Pwqj0Yn5iPt+dGYmrWEsRsOyKyvSHHzhkgY2Tre18+cSJTwdNzS/Z1U87FTSR3XkHImjaMjc/B2wtjME0EH7GlF0nyd6YqeJ6sCsE3Jlr/iPNMtG5hon0RGNnek4j1gQ5Cxe0+iSC5jR+fmKfCnV22SnO2KfsuS/T7wPtQwzOkETRi7pNrUscFRG7tlYh5hy4eObu0SViFyZnlWsv7y8BQTM2vQ7hEtEn7rur+vZPdmGh9YaL1jzjPRDuQL7/80ie+tn0aJtoXhFLsi1RTpfPG7T6BhSt2YkpmBcYn5GHW4uWI2HgAqV3XNNXgXezx6cfRK+MPJHK9jDAR9YzFyzAmLhvvhibi3UXxeC80GW/Pi8Sfj5mCn04O1PIyTlhuovWPidY/4jwT7UB8SZb42vZpmGhfHCcC5c+sZ43XyHYtJqQUYXJGBeZUbfQuYy6dWyei4bGkTAfI0NkPP9OBtp0ntGxsVEQK3p4fLe+pGBOdqav1viO///jX7+NP3xuPCanFCBOZM3Wgdbwm2kEx0fpHnGei7c8XX3zhF1/f84WJ9sVxBMlKhGw5Tlx/LFJu5WdXrJVos0plG1i+WnO27Oiarx1MtBod30XyvisSzXZhXEI+fjolEL9ZFIeA0lVY0LAd85c26+Q2f/Lr0fh/f/orjInNRuj6LhPtM2Ci9Y84z0RLnIj1o48+wp07d3Dt2jVcvHgRly5dwvXr13H37l0V5ueff/7EdwfDRPvDUdn2Rasp+68jcksPAivX6UMNUzLKMa92M+J2nZDjeVO34fFU4fblbClqlo4xNxvXckrzsu+GJOIvJ8zUSWyiObjWfRMpIuG5NRvxF2OniWjfwvsxWX2ivar7NNEOjonWP+I8Ey0l++233+rPlOr+/fuxZcsWNDQ0YPny5di2bRuOHTuGmzdv4pNPPnnmVIKJ9uWgAlWJ3keqyDZqS69KkVUIrBKYnleraQRGs7okjkS3TmRLybJCIaXrCiI2dyOoaj3ej07Hb4LjMbu8SeWde/YLZJ/4WKLdfXhnfgz+fPwMTEgrRRhztCJalnaZaAfHROsfcZ6Jlnz11Vd48OABjhw5gjVr1qC4uBgpKSlIS0tDaWmpivfo0aP44IMPNKo10b56NFoVWN4Vv/uEyHYT3gtLxm8WxiGwrEmf5PJ039YImHgniZFjLKJN6rykIp1dsUbrchnNzlu6FalyHlhDy4cWIkSsY6Iz8MvAEEzJrfFWHfSVd5loB8dE6x9xnomW4qRkL1y4gNbWVo1iq6qqUF1djZqaGixevBhLlizBzp07cf78ed2W3/MX2ZpoXy6Mar0S9co2UiLUmYX1GCdR7eT0Usyp2YCorb2az2XZF8u/9Mkv+U5K11XN8QZVbcBokanmZ0tWat6Wos2U7Vg29l5wHP5qcgAmpZd7qw4sR+sXE61/xHkm2k8//RS3bt3SaJZpgqamJo1qd+/ejR3bt6toU1NTNZXQ3d2t23722WdPFS3//vXXX+EbaWRMNxw5fgpFlXUi2hwsqN+qonAkMHAAx/ANRcdOTeGyxjal8zJith3G3OqNmOQpxsS0xZhTvQGx24/oDFyMZr1PkT3QSDdu92nMX7YD74Wn4KeTZ2NcYoE+/UXZcpaweTUb8XOR7J++9S7GJeTaYNizIMeEF77cM58hRYIHtu2wohrUrduK0+cv4ivpB999+63foGS4I84z0VKat2/f1jwso1ZKluzYsR3r161FYmIi5s+fj6KiIo14r1y5onJmusFE++pR4fYdMz7ZxZV1A4obMYlL4uTVYb5EVTEq29vIOfmxPq7LJXH49BflOS6pAD+bNge/CU7AzNJVmMeqg4ZmTPaU4Ce/GYP//PO3NPeromUdrUjWRDsIJtpnQpxnonVSB6wy6OzsxLp169BQX4+ldbXIy83B9OnTMG7cOIlq07BdIlxu9zTROiVgbGSU7Ucff4RDx06gQFMHWVhQtwVpcpuVwclRLHXw3Dii1ehWLla8ZY3YcACBZasxNaNCotsSzKlar4/w5pz0zovANIKnh7ODnUJAeZM+qPCLwFD8amEc3g5NxqjINLwVFIY/+fnb+PGvR2FccgFCWUdrovXLo9RBF1MHm/tSB5tx8uwF7Qfffv319/rHSEScZ6KlNFnSderUKezduxfr169H/dKlqCwvR1pqCqZMmYyJEyfC40nX1ALztIxSfYmWkuVn9+7dw62bN3HjxnXdftfeNqTkFGJyWAICipYjZmuvLrEd33IKia1ntfCek2D7asjGIFC2zHMLmrMVMfLYjo3PxeT0Mixq3I3EtvMS2d7x5mxFyqxaiNi4X6dffDfCg58FhuGvAkLw1rwo/HpOBP5qcqAINxwzFi9H5LYjSBZ5ZFCyJtrHyHFg6ia16yoSpO3Gt5zU1Eu0tOmAxcswJy0fhbUNaNu3X+/+bly/Lv3ghvYJ9o3nKZEcLojzRqZonVsZwmi2t7dX0wUcCKNom7duxZ7dLfLzOmRlZSE+Ph4VFRVoaWlRcXKAa6BoKVlKmzW3x48fx66dO7Fp0yasXr0GxeWVCFwkEdTkmXg/LBkBeTUihQbMKl6hxfJxO4/rra7Wf5pwnxnma5mDpURZCxu2tgOzSht1scexcTk6NwIvZtknHiDn1CcqTG4XtfUw5jZsx4zSlZguUp0l27EigQ8wzKnZrBUISR2XkcZzIv+GpXf60IvbPR1wZHpmntydzVrcgMCS5QgoqMX74Ul4P2ghguMSUFqxRPsU7xB37NiBEydOaIqOfYd9ZWCQMpwR55loWbK1VcSakZGhLF+2DC27d+PUyZM4dOiQyjcvLw9LJcrds2cPzp07pw82DBQtr9S8YnOwrKurC40rGrVaoaSkFMlp6ZgwYxb+fNRY/Hr2IkyMzcTEhBxMSCpQ2TLP6Om+JY3ZRPu8eNMI3oiT9bJRzYd0SRw+Yvt+lAeLVuyQiEsiW4nCvOVe95EuxzlVjjfziqyl5XuqRMWMeFMP3NQoWM8FBWuSfYwcCx5DVs1EbjqgdwbjE+QOIjEXkxIytW3/auI0zJi7AClpHi2TLC0pwYoVK3DgwAF9EIh9x0T7iOGfOnBEywiUudfMzEykJCeJGIuxsnGFVh2wfjY7OxuRkZE6GNbc3IzTp0/j4cOHKlri7I+i5cDahx9+iJMiaUqZ22/YsBEVVTWYGxqOX08LwNioNARKFBAkUVRQ5Vq5xd2lURfnYfXZuA2/eEu/7qkIOHFMyKpWnYRmnFzMpsvdw4KGZsTuOKoXs2wuZX7iE31IwQt/HwCjZK5RdoRPmfn+N0cqvKh5um8ibtdxXXqIj0LPrVyDwOJlGCNte+y8UIQlpmBJTS02bdyILZs3a19gv2FQw2Ckfz8cCYjzTLT379/Xq21dXR3yJXItEEqKF8vvtSgrK0NoaCgCAwM1hbBZGs1gouVV2kkfULZ8yuzq1as4e/Ysdra0IiU7H5NC4xBQVI9oiWDjdp1E/J4zmkdk4bytTfXiPBock3fKNGnvec3FBpQ2YmJKkT6uy2oETdHIcWbO1ltr6x2Q9MKnz/oQcROLZp+Ex5jHkAO6HHCM331a2zDvymYVSQCRmof8qnq0dnTi0sWLuCZ9gJEs+4TlaJ9gZIiW77yVYTqAEeyqlStRW1ON6qoq1NfX60MLHo8HycnJ+jPLu/hgg68crQNly8b0xRfkCxV5z+FjyC+rwqy4TMyv2ah5Qu3E0sHZeHUW/wEN2nh+VLh9cuQAY+iaNo1oJ6YuxoyCOo1sOROYjpRL5ErBeldP6JOqQ99cCcYzIMcv6+THSJI7CbbtkPwlqGraiOOnz+IzCTr40ALv9Lx94tknZRpOiPNMtGwEHBHlBDK9Pb16m8MHFXbt2qWDX6w0YGph3759WpnAHCyvzL4kS/h3Svjbb7/Bd999p/s/dvIMFi9ZitmJuVhY36yTnDi3rt5aWrtFfRl4I1tvHpHHlSvohqzag5mFDRrZsvRr0YqdeuvLGtssLvYo23vlancUz4M3XXMf2Sc/Qt65L5Eqx5RtO3xxLZaub8bZi5fxzddfA7/7nT4hOVhgMhIQ541c0faHDYBCZA7p8uXLGuGyuoC3/hQr87iEtz9MG3BbX/vpz8AHFgor+MACH8F9/MACB2a8ndx3YzZegMMiAUZZcmxJSuclle3UrEqMicnC9PxaTStwOXEOPDK3y+XMfe7LeDrSdnn8cpwHFqRthxX6fmDBVx8ZKYjzTLSEV1zC2xumEu4/eKBlX07kSmFyOwqWPMstkM118BphZCsRly51I9JlrfLCFbswI3+pTvI9IakQC+q3aQqHA185up2dixdB0zA218FTEeeZaPvj5Ff740iV7w4Dv+cLE+3rRwe15Bhz8Cax/YLW2TKF8PacSF1Zl0vipOh8BiLmoy+w2KNhon0GxHkmWrcw0b4ZUARaZC+yTdhzBvNqN4lsi3WALLC8CaGr2zTiTe/lbbCcE6ZyHHzsz/g+Jlr/iPNMtG5hon0z8A6QeasKeNxZs8w6W06xODmjTBd7DGnai8S953V7lS1ztibaZ8JE6x9xnonWLUy0bw4qW8X7e1LbeS22n5ZbrSs1zCpZqbJN7rgIXeyRT5A5JV8D9mV8HxOtf8R5Jlq3MNG+OWQSilak4AyQMY2wsGG7LoUzPjEfU3Oq9LFSLVk67q2x1TTCgH0Z38dE6x9xnonWLUy0byCULcu5WFpH2bacxvy6LTrnBKsRmLON3XEMKV3XZXuvmInPfRmKidY/4jwTrVuYaN9QNLJl1PoQ6d23ELvtiK6uMDmzHGNjM7XeNmR1O1I5Fy2L8illphF87csw0T4D4jwTrVuYaN9k+qJVka7nwA0dIJtf3+xdIXdRnD5JFrnpIJI7LomYvQ8/WGTrGxOtf8R5Jlq3MNG+2Xhztt48LJ/Ui24+jNmlKzEhpVAnoQmsWIOwdZ1IEtlSJnwCSnO2xMf+RiomWv+I80y0bmGifbNR0apsvZFqatdVxGw/qpHttJxqXaUhsGK1PtTAz7yydaZONNk6mGj9I84z0bqFiXZo4AiXP3PCbw6GzanaoGVf03JrdM5gphHSDtzwVixQtlb69QgTrX/EeSZatzDRDh28ke09nfSbSwrFNHuXMZ+SUYFxcbkIKF6B+JbT3tnWtGKBaQTL2RITrX/EeSZatzDRDjFEtlpDKyKlbKObD2nOdkx0JsYnFWB+wzZdjJCDZ1qNwHNnsjXRPgPiPBOtW5hohx4UqC5jI+eGedmIDfsxu7wJE1KKMDY+B7OKlyN6S68uTsilbvQcjvAUgonWP+I8E61bmGiHIn0DZBqpcrHHq4jZcRQBZavwXliSln/Nqd6A6G1HdCFHnj8dIBvBsjXR+kecZ6J1CxPt0MXJ2fJnyjZsbSdmFCzVKRa5NM7cmk2I2tqra715a2z7crYjULgmWv+I80y0bmGiHbp4RetdoJFz2Sa3X0Lkpm4EVazR1XVZkTCvbotEu8eQ1n1Lz+NIzdmaaP0jzjPRuoWJdujzKI0gsLyLNbUBJStVtjPy6zC3drPKVlfW7atG0Ki2b5awkYCJ1j/iPBOtW5hohz6OaFnSlXXsIVK7riF8fRdml67S5XDGxuWKbDdpvlYXe9RzykjY9/6GIyZa/4jzTLRuYaIdPlAmTukXlzHno7lTs6swKjxVJw/nEjmcy9bTc1vPaZZsP1KeHjPR+kecZ6J1CxPtMKIvZ5t9/IE+gpvYdh7BK7mMeT3GJubqIBmXyOHkNEwjPIpsR4BsTbT+EeeZaN3CRDvMcAbIBE/vbY1guWw5Jwx/LzRJ1yBbtHwn4naf1Aceso5663GHeyWCidY/4jwTrVuYaIcf3pxt3wCZRK5J7d4lcViFwKiWA2QL+ASZRLbcxlnNYTjL1kTrH3GeidYtTLTDj/5L4lCknp5buqhjaNNelSxXauA6ZCFNrUjZd1nO8T09xyrbYZpGMNH6R5xnonULE+3w5VFkS4HKOUxuv4hFy3ZgWlYlJqeX6sq6oav3Iqnjop7nbJ5rRsHDMLI10fpHnGeidQsT7TCnT7Sc8YvnMbH1LIJX7ML0/KUYE5uFiWnFCFvb7hWRbKMDZJStr30NYUy0/hHnmWjdwkQ7AqBs+xZ7pEiT2i5goUS24xLzMSo8BTOLGnQWsNR9V3T7x2kEH/saopho/SPOM9G6hYl2hHDEK1td7LHnDuJ2Hse8uq2YklWpM36xKiF41R5NLzBP+yiyHSZpBBOtf8R5Jlq3MNGOEPqeAvNGqnfhOXgDia3nsKhxNyYkF2JURKqmE5hGSNx7TnO7fMqMch4OsjXR+kecZ6J1CxPtyOJxNcJd7zLmEtlySRyuPUYCijlA1oqUzksq2qxjPP9DP7I10fpHnGeidQsT7cjCKf3i47eUD89x3K4TWFDfjCmZlZiQUoCAkhWI2twtUe9t2XZ4TK1oovWPOM9E6xYm2pGJE9mqcOX3+F19kW1GGaZkVSCwfLWu3JDceaWfbIeucE20/hHnmWjdwkQ7ctHIVs4vy7r4BBlX1p1ft0Ui23KMjkjDVBFupES26YdEypSttgXmeH3v703GROsfcZ6J1i1MtCMciVIpW1YjcJAsbudJXbp8dEQKRoUnY3bZSkQ1H0KKRLbOtkNRtiZa/4jzTLRuYaI1KCEd9JJznbr/huZngyrXeBd7jMvR5XHCN3TpcjlsC97Sr6GVQjDR+kecZ6J1CxOtoTBnKxEr0wScy5YDZMzZjo3N1ifIZlesQcSmg0jZd6UvAuZKDUNHtiZa/4jzTLRuYaI1HJwBMv7Mcx8pYg0oXYlJaSWYkr0EgRWr9W+eg7e8M345NbZDILo10fpHnGeidQsTreHQf9YvyjOl6wqit/YgSAQ7MbVYmVuzEfEtZ2R72YbtQiVroh0OiPNMtG5hojUG8qj0SyJWT/ctiWIPYNbiFZgokS2XxplbsxkxzUelfdyUbfuVfr3BwjXR+kecZ6J1CxOt4QvKlmuPMReraYSN3mXMxyXmYlRYik6xGL/ntEo28wjbiKCy9b2/142J1j/iPBOtW5hojcGgOJ3SL+ZlWVPLCcN/szAGY+OkjSzbjvjdp5AmUS9Fy23f1HytidY/4jwTrVuYaI2noSkEiWwZ4Sa1X0DomjaNZiekFGJSepkuYx6747iK2Ftjy1TCmydbE61/xHkmWrcw0Rr+YBlX5uEPNF+b3HkZUVt7Mau0Ueez5TSLCxq2I3b7UaQdvKlSzmZN7hsmWxOtf8R5Jlq3MNEa/tDBsT74O2UburYdARLZTsmswPT8Osyr3axz3HJQTEu/mK/l9n3TM75uTLT+EeeZaN3CRGs8C5QsJ6DJkrbAhxqSOy8hYl0nZhUtw4SkQhVucONufaDhTZzxy0TrH3GeidYtTLTGs+KNalll4H0Ml/MfhKzcg2m5NZiUVozpeTVYuGynDpBxFQdu561EeP3VCCZa/4jzTLRuYaI1ng+vbLO5+oK0i/4DZO9HpOL9qHRNI1DC3C7rKB/VlfbzmqNbE61/xHkmWrcw0RrPD2XrjWo5GQ3TBaFNezEhKR/vLIjB5IxSlW/i3rNI7/3AW43Ax3Vf4wMNJlr/iPNMtG5hojVeCKYRmLOV9pHeexvxu0/ryrrT8mowPqVQ3xc17kLCHsr2jle2rzGyNdH6R5xnonULE63xQjiLPTJnK5Gq5+BNJLZd0GoElW1SgS5jHryqFfF7ODeCRLb9J6Lpv69XgInWP+I8E61bmGiNH8KjATJ5Z+Sa0HoGC5fv0JKvqdlLRLbLdKVd5nIpWo1sOUD2imVrovWPOM9E6xYmWuOH8qj0S6LV9J7bSGw9i0UrdmFaTjXGJ+ZjRuFSRG4+qCmG11X6ZaL1jzjPROsWJlrjZaCRLWXLOQ+kvSTsOY15dZsxJb1cS79mFS9H2NoOJLdfQuYhb4mYCvcVDZCZaP0jzjPRuoWJ1nhpqGzva+kX0whxu0/oANnUrEq8F5KICclFIttOfVTXqVrwti33ZWui9Y84z0TrFiZa46WishWJHnugPzNnO692E96PSMO7wQmas9VlzNsvahSsE9awfcnPPvf3kjDR+kecZ6J1CxOt8dKhQI/e03aTdvA6YpoPYW71RkxOL8X4pHzMyK9F6Oq9KtuMVxTZmmj9I84z0bqFidZwA6cagT+zHcW3nMb8ui2YkFyIcfG5mF26EmHrOpHEnK1sxyfIvKs0+N7fD8VE6x9xnonWLUy0hls8kq28c4rFmObDCKpYiynpFTq94qySRh0gS913VaPaDJGhphCIj/39EEy0/hHnmWjdwkRruIm3GuGetKN78By8gZhtRzB3yQZdWXdcQh4CSlbq3yhi/Y7K9uVHtiZa/4jzTLRuYaI13OZR6dfxB8jovYPorYcwu2wVJqYUCYtFto06QJbadVWFzDb3shd7NNH6R5xnonULE63xShDZMj3AKoO0Azd0GfO51RswXqLa3yyK1YcbYrYf1YcaWIur7e4lRrYmWv+I80y0bmGiNV4VnBOBbYkzfnm6mUY4jFlFDXg3OB5jotMxp2oDopt7vZEtt9MBMka1PzyyNdH6R5xnonULE63xKtHaWZ1Y5gOkcJWGDfswu6wJE1O9aQSmFKI2d4tsr0m787a9l/EEmYnWP+I8E61bmGiNVw2lR+EyTZDadUUjW5Z7jY/P1UEy1txGb5HIdr+0P0a2ItwfWolgovWPOM9E6xYmWuNV4y37ekyayC98XScCipZhSnoZpmZXIahyrQ6acZIatsFHZV/Exz79YaL1jzjPROsWJlrjdUH5MV/Ld+ZlIzd0IaC4EeMT8nXBRy6Jk7j3vES+3N5E6zbiPBOtW5hojdeFRrQiQJZ0cYlyRrZha9oxPa9Wp1ecmFaiA2Qx247C0y2RrbTDF5043ETrH3GeidYtTLTGa0fE6Z1c5kMkd1xE2Pp9CChdiVHhqXgvNAmBlWuRIJGthyvr9rVHStrnvgbBROsfcZ6J1i1MtMabAEXonYjmQ6R0XRHZdmKyRLSssWVFwoJlOxCz45h3ikVpk/rIrsr22YRrovWPOM9E6xYmWuNNwDsw5p0QnNUInF4xZGULZhbWY2JKISZnlutE4rE7j0lke1trbL3t8tkeajDR+kecZ6J1C9+izZHGuFWihxvIlFs657bumWBnecSLDVwYI5U+2Uq74dwHyR2XtBqBOdtxiXnyXoOFy3cibtdJTSN4ZctAQL7jBw665Zz5DKkSPCyUth1eWGOiHYA4z0TrFoNGtHV9ouWCerp6qTRov/DWrx/SaXx3KMPwjTey7UMEmdR+EcEr90hk24CpWUtUuvNFlPEtZ7SN6Vy2bHePGNgmvXCehZyznyNFRMsgIqzIRDsQcZ6J1i0c0X6koj2BwvJqzIrPwPzqDfrkTjplKQ04XRq+X6SjcAkTpxyHj1x6O5BFtsbzcFcXe8xm6Ze0v9R9VxC+tlNkuwzj4nIwOb0MIU2tOr0i0wja7ny1x35wVrCskx8jUdo051gIzq9EzZpNOHn2vFe035poxXkmWrfoL9pDR48iv7gM00JjMDO7EmFr2xG1tRdR2w573/0QuaUHUQIHLbgSKjtCOstyKGs29ic6lGH4hhGtV7YPkSuCpGwXrdiNKZkV+gTZlIxyFWbYug5ES/uM3n4EUc2HfLZLEi2fxe48jkVNezFRRD0jIQMlSxtx7ORpFe13337rs3+MJMR5Jlq3+Oqrr7yi/egj9B46hNzcfEyYFYRxEUkIKGpAYPlqBFas8b77gc+pB1asxrylWxC6ph2xHCXuuq6rohKTrfG86GKPTF1JlJuw5wyCV7ZgamYlfj0nHG/NCcPEtMX6+G5g5RoECb7aJQmSNkwxT8mtxc/nRuHdwEXILC5H75Fj+PLLL/G7777z2T9GEuI8E61b9BdtT08PsjMyMW7qDIwNjUPA4gZpoNJIK9dqQ306bNBNKloWmc9v2IHwDV26LhQlm33MmYnJd4cyDN94B8iYi2VaKkHulIKWrMOvgsLwZ6Mn4leBoRiXkItpuTUq1DlV67W9Mjhgu9QgQZgjf5tXs0lF+xeB4fjV9LlIKShB9+GjJto+xHkmWrf4vmi7kZWejgkzAjA1KRdhTS06k1LUVrkl2yK3YD7xpguitsh28h656QBCV7dj4YoWhKzpkCjk7CPR8nbQd2cyjMHRNIIOtLLG9iqCV+3RKoRfzFyAX80OwfvRmZhZtFz/rmkCtlcnbdDXTvm3uJ0nML+xBb+OzsE78yKRVrIE3UePi2h/K6K11IE4z0TrFo9F+xA93RStBxMDghCQXYF4ufVP3X8Nad23kHrw5iDc8HLgui5VkrLvsk7gHNzUpvmwuN2n+nJtJlrjxck8+qFwT8u+IuWiPqOwHqMiUvBeSGLfkjiNcoFvQ0LLGW2z3I7tlg84KD23NCqO2nUKozOqMCosGZ6KOnQfO6E52t9ZjpbOM9G6hS/RTpo9B7PzqpG054y3kVOS/Uplvs/j0hrWKvL2jiueMppdtKpVax5NtMYPRethKdqe2zr4xfGAyRllmC7tdEbBUn2wgfPa6mKPXdeQffwjLUtku2O7zDrxEPnnv0R85xWMzVuG0ZFpSF9Sjx4T7SPEeSZatxgo2sz0dG9Em7MEibtPatVABoUqt//+MNEabvE90TZ71xwLKFmh6YJFy3f2TUSTh1lFy7xL4uh37iFb2i7bZbaItkBEm7DvKsbli2ijPCbaAYjzTLRu4VO0s4IwK8ubOkjbf0Ma7bMJkp2Bt2xMF4SsbjfRGi+N/qJl7pWpAlYZxOw4qmVbnCycFQjjk/J1GXMOxKbsuyJtzvtUWPbxB8g/+wXiOy5LRNtgEa0PxHkmWrcw0RpDAV+iZZUL5z5gTpalhAuWb8dETwlGRaRiWl4NIjf36CoNXFGXJWIF535ron0K4jwTrVuYaF8XPBZ2PJ4VX6INKFvZlya4q3+P33NaS7/GxmVpyRenVwzfsB9JHZd0IKzwwlcm2qcgzjPRuoWJ9jXR+wE8B29pxMXlt5nb9rmdoTwp2hUq2miKlu3qyD2dbY6fzavdiKnSfid5SlXI4eu7NOrNP9sX0eabaH0hzjPRuoWJ9lUjx4CS7b6J5PYLiN95HAktp1USvrc3yOCiPaIPwujkMvLO4xi36zjmSGTLVXUpWz7EwMdzuU18+yWMK1guorXBsIGI80y0bmGifdVwCsDbOlATs6UbwQ3NCG9qRXLbee/nR+QY2XF6gmcRrT7qLdtwQUc+pMAnw6ZlV0l0W4nAytVIbD2NuLaLGF/UaKL1gTjPROsWT4rWo6LlAwsJEm155LZWO/4z4O0IItoWEe2a/qLlk2EPRbR9k8uMcNIO3pJOfw4hy3fIBa0cc0tXIF6iMH7GY8iypIHfGenocRGZch7awUTrLeVi3exDcAa5OGm/fOx2YnIhJiTlI4RPjm0/jnHM0UakPhatPRmmiPNMtG7hS7STAuYgKL8aKW3npPHeQ+6pT5Bz8mO/5J3+TEtpkuSWOGxDl9bSxreeRc6Jj5F7+nNky3v2iY9GOB+LGPrmWV26FdOTcvThEIqWBfZcBSDn5Cc+vjeyyZE2mH3qU4n47+sAWGD5Kp1IJq7lJLJPfiTt6zPkyee5Qt6Zz1F48Rud9St+90nMrVqH6TlVOt/B7KqNeDs6B+8tikVGRS16TbSPEOeZaN1ioGgzPGneBxZylyBxz2mw8JsPLHCwwR+ZEkl4eu8gbvdpBEtEu3DlHsTsOqERms7AxG1GOozK5Bgltp3HoqWbMTUhGwE5lYhtPqSDOpyg2lmmxXiMrvIhx4WpA07HOat4OWaVNiJSjptH26j3c22H8p51/CN9T9l/TZ8kW9CwHdPz6vB2aDL+ZNws/GpaEDxFZejRuQ5sUhkizjPRukV/0XYfPIj0tFSMnjwNY6I9CKzbinkSlc5f2yXs88+6/Zi3uh0BtVsxdfEKTCtajnnSwHmrFyO3eJzYY8TTfFgn4Ald3YqZ+bUYLZHV+JgMzK/bogKJ3ibHSbbx+d0RTAznnJXjErHxAAKrNmB0fC7ei8vBtPLVmNvUJu1P2ui6J9vpvLWdmCMX/Glla/BOZAb+6DcT8Pt/9Kf445+9hZgUD/Z396po8bvf+ewfIwlxnonWLR6L9iP09vYiNycbY6dMx9tBwRidWIDRnjK8n14hlPsno0K2L/V+LyYL4+NzMDNnCRZUNGHRkjVYKO8jnsrVWCC3vXMK6zAhOg2/nDIb78wOxsz0Uv37Qh4n2cbnd0cwi5bIMZHjMq+sEVPSFuPXcyLws4AQvB2VjtFpJRjttD95d/C2S/lbWineicnBzwLD8J9+/i5+7z/8Af7wP/8pwmPi0LX/gIm2D3GeidYt2MgoW64ZduLECdRUV2NBaDimLIrApJg0TIzNwMS452NKrAczhDmJWQjNLkZMcQ3iSmsRK+8jnpJaxCyuRlhOCaaHxeHtCdMwesYczE/ORrT8Pba0Trfx+d2RDI+JELW4CgvS8jAlOBpj54ZhXFgCJkhb89UOvWTq+4SoVIyX77w1YTr++Cc/xS/eehupaR6dg1lTByZaOs9E6xZsZOTTTz/FtWvX0N7WhuWNK1G5dDlKl61C8bImwXn3h3e78uVNqGpcg7qm9VixYQuatuzA6uadaNq6Y8TD47Bqy3bUrV4PT34R5iwMQUh0HEpqGtC4aZt8vsuOlS94TISVcuwa1m5EZf0KFNfUo3ipvD9DOy2Rz8oaGlFQXo20jGzk5eVjw4YNuHjxgrb/b6y8i84z0brNF198gU8++QR3797FtevXcfnKVVx8QS5dvYbL167j6vUbuHbjJq7fvGX0cfP2HT0uJ0+fwcbNW5CTm4vyikq9hb0sx+3GrduKr+8aXnj8eKwuXr7is/355Kq3XfI7586dx4ULF3Dz5k1NmbH9U7YD+4SDE4wMxNe2Qxlxnon2VcAUwrdyZf/+63c/jN99B3xnPEJe3379Ne7fu4eO9naUlZZixfLluCgd/2s5/swVKr6+a3jh8Xni1dfeBuXJF9MFHJ/w1RcoUqc/cDvynfzbxPmdn/H73G44iFecZ6IdjP5X2MHw9T1fcFtncOybbwS+/0C4r6+/5j4N8s033+jdw507d7C3tRWlItrlItpz587J3z/3HnfB13cN4m1T2r5epI3K8efS4nznfvz1j88//xyfffaZ3u05MM3Gv/Eznktf3xuKiPNMtANxpOhtON8q/HkgbEzD5Yo7HOB5YCf94IMPcODAAaxcuRKbNm3CxYsX9e/83M7V64fn4v79+5piOHjwIDo7O7F//36lq6tL/3bq1ClNPzx48EC397WfoYQ4z0TrC15NeYJ5hXWusgMZblfdoQ4lynPy8OFD7cTstBz5vnXrlv7dRPv6cI47+xLvOM6cOYOtW7eipKQE+fn5KCsrUxYvXqx3IqtWrdLzd+nSJZUt+9lQPnfiPBNtf3hCnYErdtbjx4/j5MmTevt5/vz5R/Cz69ev65WZjYffM+m+fngOeBHk+bty5YpWezgd1df2xquBd348Bx9++KFGq7t27VKxxsbGIjo6GqmpqUp8fDzi4uKQmZmJFStW6J3J7du39ZxyH772PRQQ55lo+8PGwCsuHzBoaGjQE84rblVVFWpra5W6ujr9bPv27Th79uywub0ZTvDix1FvwnNjon29MM3GuwpGqIxkCwsL4fF4NIJdunSppnkI+1VxcbEKOCkpCatXr9bAhufRRDsMROvcVrJTMqe3fv16zJkzBz/5yU/w9ttvIzAwEPPnz1cWLFiAkJAQFTCvzNz+3r172pB87dt4dTjn0ddnxuuB54OipSwPHTqkqQH2IYqW+VneGd64cUO5evUq9u3bpwHOwoULUVlZiWPHjmn/cvY1FM+vOM9ES5wTyEiIaQJeXadOnYof//jHGDduHBITE5Genq7wFodXW74XFRVh3bp1TzSGgfs33IPHu//gpVMqRPi3oRwJDQd4fnhHwVz53r17NUBZtGiRCpepnYEv3lEy0GHUy77Fu0am6LgPp5/6+nfeZMR5JlrinEDmZ5l/3bJli96+BAUFaYPgVfbIkSN6Rebo6O7du/VqGxYWphJ2Rrcp6qHaGIYy7IS8o+AdCc8B3/m7pQxeL+wHvNAxmuUA2I4dO7BkyRLk5ORg7dq1Kl/Wzfav5OEj6wx2mL6jZJlv59+G8rkU55loiSNGipZ5JKYEsrKyNHJlTokn2+nIvLrySrxx40ZERUWpbOvr63WEm9uxQbBxmWzdxbmg8ZzwboK3nadPn8bRo0cVdmyWCLGT9t9+4H4M92A/oDw5CHb48GFs3rxZ+0pNTY0GKyzFo2D7nxf2M54zjn3wnRfOoX7RFOeZaIlzovuLNjs7W9MDvArziuxccXnCWULEyJbRLtMJHCTjdxgNcx/czjq1uzjiZIdkBNTe3q4XP45WE95l8OJH2VLGzva+9mW4gyNaCrW7u1vnQOCAF2lra9PAZKBo2b980X+/Qw1xnomWOCe6v2h5e0PR7ty585Fo+8uWnZsNp6KiQq/QvBXiVZsSHth4DHfgeaBImdph7SXTOcybFxQU6HlhBMVyIkZUjIz4HTsvr47+ouVFj/2FES0rDZivpWj9BSUm2hEQ0aakpGgZF6MmNhoHbstRUo6acuCM5V9sQPydqQUOyliHdhdGqbyosc6ZFzlKlncWFC4fveXvjJzYoZnrY2fnd5zzZ7iPI1qmdpjO4YWPfYUPKjQ3N+vAF/sKt2N/cXC+T8EOh1y7OM9ES55HtM62bCS8Sq9Zs0Y7dXV1tXZqNiqOePdvMMbLhR2P+TvKk49ssraZBfCMmFjkzvPAqIkduqmpCR0dHXpeLa3zauFxZp/huWI9LNNwPE9paWma3mFenXd//fsW7zwY6fJOhe/8Li+QvvY/VBDnmWiJ0/GeJ6LlEyvs5Cyq5kgqOzvzhCbaVwM7JCNaTqrOiJbpG170tm3bpp2Y5y4mJkY7Nv/GwTF2WhPtq4X9hRdGVhjwgseLX0REBPLy8vSiyDtAbkfhcrur165pn+NdSWtrqw48s1/ynA3V8ybOM9GSp4mWV2F2aHZQ4jQclnOxA/N2ldEshcsIl1K21IH78JaS5+vy5cvaIZnC4bngk0UJCQmYOXOmPnTCuk1WjphoXw881uwzHOdgvTnvNFg6yb7FCyT/xjQc8+g3b97Avn2d+jADHw5iAMMcO787lM+bOM9ES3yJtv9gGDuoM4sXt6NMGc0yZUAhs4NzO+YCuQ/rzO7AY0ooWV78GCWxo7JUiBe6ZcuW6TnJyMhAaGioRk4cHGNdNEu/hnqHHarwmDM44fwT7Cfl5eUa0bLfsFKkpaVF5xDm9JarVzchPi4OwcHBKuX+F0hf+x4KiPNMtMSXaCnQ5ORkTdrzasuG4tRsXrp0WfOBcfHxenvKDs4Ca+YMuZ0jhIH/jvHDcI4rzwMlywEW3lU0NjZquoDnhL/ziSJGQ6w+oHgpWg6amWhfD066jWkCBiNMsTHNw3QbpVtaUqITtVdWlKNKzhd/5kAmB5ed8jxnH0MRcZ6JljgdmHk/ipbpAt6+REZG6gnnLF5MFTChz59ZTlRdVaVRE2cc4lWZn7NBWCd2j/7niQMpzPnxIsd0AYXK2ll2TnZkpxKBaR3+nblcp0zPztHrgUEIzwFTBayrpWyZs82UOxBPWhpyJbipkX61TYIb3qk4D5zwe772N1QQ55loidOBKUqKlhFQeHg4xowZo89lc5YhdtrKikpUyBWYV9wCufXJy83F8r5olpEur7pD+cr7ptNftBwk4QWPt598DJp5WUZHFCyjWz7Zx1xgrpwjphXYcU20rxf2DSeNwDsSPtLOoGa93IGskXO0Ue5I2vbuxQUJaChYX/sYiojzTLTE6cDM/TFSYrqAj9b+8pe/xDvvvIMZM2YgICAAQYFBWLRgAWJjolFeWoLdzMueOaNlKPyuSdZdnPPECyLL65gOYJqAKR7m9PjINAe/+D59+nSdGIh5dkZOFtG+fpzzR9hfeD6YlmPKjeeT70wv8ELqbOdrP0MNcZ6Jtj+80vJks3qAkRKjJE5EzLo/phJ4i8NItqqyAju2b8Olvolk+N3h0iiGAjxPzmAYS4SY3qFgmUJgbpYDYJQvJcs8IKsSmNpxBip97dN4dbCv8DxwgHngy5lkZjj1J3GeiXYg7IyskeUoNYXLXBIfreXsXUeF43ILeurUSVy9ckWvvrwyD/Uc0lCEUS1vLzmfKc8P87J8fp55W6YUuBQK56PgZ8yt8wJqOfQ3B54H4qTbHJy/+/rOUEWcZ6IdCKVJeTJSZUcmlK/Dp+TTT7TTcjtf+zBeDTxXPD+8MDLlw/w6I1fKl+kcwltS3p5yOztfxutAnGei9YWvK+1AhuOVdyhC2fICyFQC7zA4KMncH6VK9OIoF01eGO3Ow3gdiPNMtL4w0Q49KFHnboTvdn6MNwVxnonWGPo4Uu1P/8/6b2sYrxpxnonWMAzDTcR5JlrDMAw3EeeZaA3DMNxEnGeiNQzDcBNxnonWMAzDTcR5JlrDMAw3EeeZaA3DMNxEnGeiNQzDcBNxnonWMAzDTcR5JlrDMAw3EeeZaA3DMNxEnGeiNQzDcBNxnonWMAzDTcR5JlrDMAw3EeeZaA3DMNxEnGeiNQzDcBNxnonWMAzDTcR5JlrDMAw3EeeZaA3DMNxEnGeiNQzDcBNxnonWMAzDTcR5JlrDMAw3EeeZaA3DMNxEnGeiNQzDcBNx3mCiXSS4JtqvhBPCKeG0cEY4OwjnDMMwhiD9Pfa14MuFrorWMAzDMNEahmG4jqs5WsMwDMNEaxiG4TqDifafCSZawzCMlwBztGOEt4U/F/5Q+H2Bov2HwjOJ9u8Kfyn8QviNMEEIELjzaCFJSBM8Qnof/Jl/MwzDGI7QcY7npgijhbeEPxP+QPg3wj8Vnlm03OBvCf9A+MfC7wn/p/Anws8EhsvvC+N8wHDaMAxjODHQcfQfPUgf0ov0Iz1JX9Kb9OdTRUv+mvA3hb8n/A/CvxT+nfD/CLT3zwWanP8QI953+94NwzCGO/Qe/UcP0of0Iv1IT9KX9Cb9SY86Tn3i5Yj2bwh/R/hvBY6k/WvhPwjc6Y+FnwhML/zUMAxjBEHv0X/0IH1IL9KP9CR9SW/Sn45ofb74AcPdvy4wz8AwmJb+5wJ39u+F/0v4jwL/EfJHhmEYIwDHefQfPUgf0ov0Iz1JX9Kb9KfPtIHzckTbP6plcpc7obH/lcAdc4TtfxP+rWEYxgiC3qP/6EH6kF6kH+nJ/tHsU0XLFz/khkzmMtfAL9PUDIu5w38isIyB/8D/bBiGMYKg9+g/epA+pBfpR3qSvqQ3n5o2cF7cYKBsGQ6z7OvvCzQ3YWHuPzIMwxhB0HuOA+lDepF+HChZv6Lla6BsmXNgSMyyBe60P3/bMAxjBDDQffQhvUg/PrdknZfzBSdn60jXgTs3DMMYafT3oONGJyf7XJLt/3K+7EjXMAzD8NLfjy/11X/HhmEYIxV72cte9rLXm/H60Y/+f0Ud4V180FcgAAAAAElFTkSuQmCC)
If the length of the diagonal of a square is 12 √2 cm, what is its perimeter?
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)
Maths-General
Maths-
A rectangular crop field is divided into two parts by cutting it diagonally. Are the two parts congruent?
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)
A rectangular crop field is divided into two parts by cutting it diagonally. Are the two parts congruent?
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)
Maths-General
Maths-
The measurements in the given figure are in cm. What is its area?
![](data:image/png;base64,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)
The measurements in the given figure are in cm. What is its area?
![](data:image/png;base64,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)
Maths-General