{ "metadata": { "name": "Mandelbrot" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "def mandelbrot(zmin, zmax, hpx, niter, func=lambda z, c: z**2 + c):\n", " vpx=round(hpx * abs((zmax-zmin).imag / (zmax-zmin).real))\n", " z = zeros((vpx, hpx), dtype=complex128)\n", " x = linspace(zmin.real, zmax.real, hpx)\n", " y = linspace(zmin.imag, zmax.imag, vpx)\n", " cRe, cIm = meshgrid(x, y)\n", " c = cRe + cIm * 1j\n", " M = zeros((vpx,hpx))\n", " for _ in range(niter):\n", " mask = find(abs(z)<2)\n", " M.flat[mask] = M.flat[mask] + 1\n", " z.flat[mask] = func(z.flat[mask], c.flat[mask])\n", " #z.flat[mask] = z.flat[mask]**2 + c.flat[mask]\n", " M.flat[mask] = 0\n", " return M" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 104 }, { "cell_type": "code", "collapsed": false, "input": [ "Mc = mandelbrot(-2.1+1.05j,0.7-1.05j,640,64)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 105 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(Mc)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 106, "text": [ "" ] }, { "output_type": "display_data", "png": 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YJ554gquuuopXXnklglmMXdx+++2oVCoaGhqkyKOJEyfy0ksvkZOT4/NiATCb\nzcyZM4e3334buOimuGfPHjo6OnA4HGi1WvLz8zl9+jQVFRVs375d8r0MFg00VCRQtFb0YNbzUe/c\nniLN0BiO7jLRaxhJ/4FcjYL9PX78eL797W/T399PWloaK1euDNm+Uqnka1/7Gk8++WTYYxrrUCgU\nFBQU0NjYyDe+8Q0OHTpEcXExDoeD1tZWNm3aFLINs9nMT37yE7Zs2UJjYyNer5eZM2fS3d3N0aNH\npW06DB1CGYwcow2tHLOkGaydRD/syYBoI3uSJW1eJNfQ/8UQLB+j3C9wyZIl5OfnS1mN/t//+39D\n9iF0oCkExq233orL5ZLqEP39738f8vgXXniBzMxMXnnlFa6++moeffRRnE6n5KPpdrvxeDw+aewg\nODnG2mfzExF7LpDSZUZOfPJEu4kmzGj0rsEIEwLfDy6XiyNHjrBz50527txJfX09WVlZQ/aRIsyh\nsWnTJrxeL8eOHQvrGbzttts4ePAgFy5c4IknnpC+l2/FIyG7kTIIjUnSTPRDn0hESnzyNGzJsG7R\n+GHKxx2IMOVxznJcuHCBjo4OOjs7OXHiBDNnzoxy1CnARcns0ksv5YorruBvf/tbWOe88sorUu5O\ni8UiZYKSv6DCfVmFcj2MFUb19jxQG5/UpBzCwhzuzRGork2iEQ1hyiXqYJnB/VORyWOkhYuMSMFW\nUFDA6dOnUavVNDY28sEHH8Rmcp8gFBQUkJOTw8GDB0Me+9RTT/HOO+/gcDiYNGkSHR0d7N69O2DC\nDoFo9JqhzguEManTDNTGJ1GXGQnZJGsMfrTjkieM8E9cK49MAd8XqohoEeGQOp0Oo9EoZfV58803\nOXz4cAxmlkIorF+/nqamJnbt2kV9fT02m82n1EUkpBntb4HwiSh38UmTMCMhmmSWwKN90QUiTLEm\nOp2OFStW8Pbbbw96WEQW9YKCAo4cOUJxcTH33Xcfubm5LFy4cPgTSiEsZGVlce2117Jp0yamT5+O\nWq3G5XIBQ2/JI430Ge55/hi1pBlsa/5JQCRkmSyW8EAYjtTrX9bC30JuMBgoLCzkuuuuo76+3ifV\nmijgdf3112Oz2Vi+fDnr1q2joaEhaEheCrGHKD+yb98+Tp48SV9f37DrqceKGIfCqCVNf3wSCDMS\naTGZyRKily795yXP3ygygxcWFtLd3c27777LvHnzqK+vR6vV+hQR+/3vf88111zDmjVrpIQzFouF\n9vb2mMyzbAxjAAAgAElEQVQvBV9s3boVtVrNqlWruOOOO6SSFnv27MHpdOJwOIL6UsbS1StUcbZw\nMGp1mv7nJ6uubriINBlGspNlLOsAiVDOvLw8Jk6cyNmzZ8nNzSUtLU2KJ3/ggQd46aWXpGxaLpcL\njUbD3r17ueuuu6RUaGVlZdTU1MRkjikMRm5uLpdddhkqlYquri76+/txOBw4HA4pH6dwQhf+mXJq\nCkR00fhrhvO7wJgzBMnPT3aiiAaRzsmfjMTfgSzk4o0+kjkeh6tT9b9f5PVlsrOzyc7OpqioiLNn\nz+JyuVi0aBFut5vjx49TVFSESqXi5MmTnDp1CqvVilqtJjMzE7vdzl/+8pfhTi+FMHDTTTeRkZEh\nVQft6+uTrOT+pAmhy1ukSDMC+EscyWzkiBSRzsWfXKNdC0Gksa4bPdxrE+x8cf+I3JYmk4msrCxu\nvPFGbrjhBk6dOsXDDz/M9773PTZv3szu3bvp6+tjwYIFdHV14Xa7mTdvHv/6r/8a9dhSiA4zZsxA\nqVSSkZFBd3e3RJYifV+4VvNg4ZHhkGI4x4zpiKDRTpjyWiqRzEXukC7KyApXmkglb7n/4nAd3aOd\nj38bwc73f+EODAwwdepULr30Uj788ENOnjzJtm3b2LlzJ2vWrGHcuHE0NDRw6NAh/vCHP5Cdnc2U\nKVNShJkA5OXlSVUwDxw4IN2zWVlZaLVa4B+O6IFUcHIk6rkflZLmWNmaR6uHDaTb02g05OTkYLfb\n6enpAWJXlU+0Jf/b6/UOcqYfrk45nGsZKCmHQqFg/PjxKJVKcnNzKSkpwW6387//+79S3lc5Hnnk\nER555JFhjTWF4eP+++/n8OHDfPWrX+WVV17hyJEj9PX1+Uibobblkeg6Iz1mzEqao40w/SvzRQIh\nCfoTpnCT6e7uJi0tDb1eLxFpLLNJyY1SQgqUfx8N5OsR6lr6SxbyubW1tdHZ2cm3vvUtjhw5QmNj\nI5dffnnAcf3whz+MaqwpxA4KhYK6ujrWr1/P3r17WbJkCWVlZT6+t+Jf/3vD393MH+Hc88PhjVHn\ncjTaSDIWknCwNvxvsKKiIunNrNFo6OjowGg0YrPZhsxFGG/IiSvatRhKN6pSqaR45XXr1qHT6bj+\n+utRq9W8+OKLg45P+WEmHgMDA+zZs0eqKfbGG2/Q0tIC/OO+lt+vgjwVCoVULnk413E4u6JRtz2X\nb02TdWseaRx4qLZCvU3l+kitVoter8dqtUo+h52dnbhcLh+leawz9sTzOgxlDBLrIyzpQsI+deoU\nZWVl3HDDDXznO9+J29hSGD5MJpNU3fadd96R7tVARh6TyYTZbKa+vh6Xy+UTbilHLLboYzKMMpkI\nM9YW/GhfCG63G6fTSVtbGyaTiba2NgYGBqTxiRtlOGs3lBtTrBFOPXsxJjmmTZuGyWSiq6uL1atX\no1Kp2LVrF2fPno3LOFOIDhqNhu9973ts27aNnp4e6eUnCuAJ8hSCiNvtRq/XS8EKbrc7auf3aM8b\ndaSZTA7s8XJ1CtWuv5QujDLib4/HI8VfBzo32ogI/4QXEyZMoKGhYdANHisMtQ7+xkBRn0Ze5O3K\nK6+kqqqK9957TyrRm0JyweVysX79enQ6HSaTSdo9LFiwgI8++sjHIKRUKqUSwFlZWQm7pqPWEJQo\nKTMW7jSh2o9FlUiLxcK+ffswmUwB06VF2od8XCI7kNFoxGAw+KRdi1US46EIUx5jLlytMjIyuPba\na7FYLGi1WjIzM3nqqaeYNm1aKk9mkqO5uZmamhpJtWQ0GqmoqKC8vByDwSBlopo9ezbTp0/H6XT6\n3IvRClJRGy+jOitBkD9EIy1xxjtMM9zteKhjxDh7e3uprKykq6sLlUo1SPcjdK6htif+5CWkOoVC\nwYULF5g4caKUzku0JXTW0RqeQum7RYy5IO+SkhJKSkpwu92o1Wr0er1E4A8++GDE/acwsujp6aGw\nsBCDwcCsWbPIysrCZrNx3333sXXrVjZt2oRSqcRms2E2m2lubsZms/lkRYoWYocUCUYVaY40RirS\nKBKj2FDELSRgnU4nFbzq7e2VrI2iH0Gegb4LNSaj0YjRaCQ3N5fPf/7zPPXUUz7ty9sRBB+uOiCc\ndRDHaDQaKioq6O7upqioiN27dzN79mw+/PBDWlpa+PKXv8wXvvAFvvvd74bVdwqJg9frxeFwsHTp\nUingYGBggL6+PmprazGbzXi9XqZNm0ZWVhZVVVUxSbwRLUbV9lwukscL4uEfqbrekRYPGwqlpaVk\nZWVhMplIS0ujqalpUJ5J0af/R1632l9fKNZEo9GgVCrRarWkpaXx9NNPY7PZJKlO3rZ/zR65b6r8\nI/8t1NzFMWJOLS0tVFZWMmXKFEpLS9m9ezcmkwmA66+/HrvdHvbappBY6PV6HnroIZ98CD/72c+o\nqKjgK1/5ChkZGXi9XrZv3052djYZGRmDPEiiQTTnjSqXI/lDE+ut8ki7L0XTX7B5y92NhPUxLS2N\nJUuW0NXVxd69e3E6ncA/IizEZRe6yqKiIs6cOTPkdkfkqSwrK6OwsJDdu3fjdDqlpAvB3D/Etj2a\nWy1QRnZx/1itVmbOnElPTw9z5sxh3bp10nFpaWnYbLaI+0shMZg0aRJ1dXUBf3vqqaekKpf19fW8\n/vrr2Gw2WltbpXh1fyNkJFJosGPHVERQLAkzlsaLcBFtbHeweYvvRaYYj8dDX18fe/fulerdaLVa\naftuNpvR6XRotVrUajW5ubmSjjPYy0zucHzhwgUaGxtJT08nLS2NwsJCH0nVP5mK+F6MYSi1h3At\nCXRd/F2d2traqKqqwmg0Ul1dzapVq6TfUoQ5uhCMMJcvX86CBQvYs2cPhw8f5tSpUxgMBrq6umLm\nrRGptDlqSFNMLJZb5lhYqqPpMxrSH+oc+W8izZZGo0Gn05GZmYnVasVgMJCTk0NOTg75+fkYjUZp\ny+12u1mxYoW0NZdvr+VEKr53uVzSFr2jo4Nly5aRlpZGaWmpZO2Ut6NWq8nIyCAnJ8fHLSiQmmAo\nUg30ount7aWqqoq6ujrOnj1LRkYG9957b8Trm0Jy4vvf/z5PPPEE586d49ixY+zbt4/Ozk5JQIgF\nIg5njkmvI4hYSJlC4hpNFvhQUqb/1sTtdtPc3ExjYyNGoxGLxYJer2fOnDnMnTuXnJwc8vLyMBqN\n6PV6Ojo6SEtLk1x4jEajJI2K9RKw2+3U1tbS0dHB5MmTsVqtZGVlkZaWJkmv4qPVapkxYwa5ubnM\nmTNHai8a1YSAnFA1Gg0Gg0FSDfzgBz/gd7/7XURtp5A8uOyyy6S/9Xo9GzZs4IorrqC3t5fm5mZ6\ne3tpaWkZttVcjhRpDoFEkSUw7H6HirsOhP7+fpxOJ93d3dTW1tLS0kJbWxt79+6lpaWF999/n6lT\np5KZmcmcOXPIy8tDr9ej1+ul2jrC8BMsk9HAwAClpaXs3LmTz372szz00EMUFhaSlpYmSZsZGRlc\nc801KJVKjh07Js0lEr22/9qJc/V6PU888QQTJkzAaDTicDj4yU9+EvMQ0RRGDtdffz1//OMfmTx5\nMkuWLKG5uZkXX3yRvr4+GhsbsdlsYRVfiydGDWkOdxudKLIUfScCHo8Hr9eLy+XC4XDgcrlwOp3U\n1dWxevVqKioqWLVqFRkZGbzzzjukpaVhNBq57rrr2LVrl0+mJEFSckOMWq2mtrYWr9fLuXPnJJWA\n3Olcq9Wye/duVCoVfX19Plv2UGsTyKou+tfr9WRmZrJt2zb27dvHK6+8wtq1a2ltbY3rmqYQXzz4\n4INs3LiRwsJCOjs7qa6u5vz587hcrkEkGUsbdiTcMGpIE6IjTvkDmgjEou9gFzRQMt5A/xdbd7fb\njVarJSMjg4aGBmpqavjwww+lbbVKpcJisbB3716ysrLQ6XQS+c2ZM0cy6BgMBvLz85k4cSJLliwh\nJyeH73//+3R0dJCVlUV2djZGoxGNRoPX6+XChQtYLBYWL16MyWSS/EgD6TSHckGSS6hLly5l3759\nrF69mgMHDgBIeURTGN246qqrAKSMRsK6LS/TkkiMKtKMFIksgxGLOkjytvwRbtv+CvO+vj4aGhro\n6+ujpqaGnp4eLBYLFouF2bNn43A4OHPmDPv27ZPifIVxZ9y4cWRlZUnSp8ViobS0lJ///OcA3HDD\nDXz88cdMnjzZJ6+nx+MhPT2d/fv3M3v2bMxms49FXehSg+XlFGspjwTav38/ZrOZF154gW9+85sA\nPProo9EsbwpJhldffZXq6mqsVqvP90NJg8Ml0ojqcQ2rpxGCWKxICHCknNMDIdY+n/7zCHbzBLtx\nhMOwOM/j8aBUKsnMzGTZsmX89Kc/lRzVt2zZwpIlS/jqV7/KokWLMBqNaLVa2traWLduHc888wy5\nublSkhA5UZ0/f56bbroJj8dDSUkJy5cvx2w2Y7FYcLvd3H333YwfP57Zs2ej1+uZOHEiixcv5nOf\n+5y0pRd6Z3+Lupi3mIPNZmPy5MkcOHCA1tZWJk6cOOx1TiE58NZbb3HbbbeRn58PhPf8j6T0OSpI\nM1Ikcjs+Ek7ywdoP5oIhd2QH0Gq1jB8/nvT0dOx2O11dXQD89Kc/xeVy8dRTT/H+++/T2tqK2Wwm\nNzeXSZMm8eSTT7Jy5UqsVisKhQKDwUBnZ6dPX01NTcydO5cZM2awbds2rFYrlZWVuN1u7rzzTs6c\nOUNjYyNms5kpU6bg9Xp5/fXXJVekYAhUQK6+vp6srCy2b99OfX19+AuYQlKjvLwcm83GoUOHpN2i\neKEOp0pAKITb7qiJPQ9HakyGqpSxJkz/9qJN6qHRaEhPT8fj8UhS3gcffEBubu6gFFttbW288847\nfPe738XlcnHs2DHWrFmDSqVi48aNnD9/nu7ubvLz8zl//jwGg4H+/n4AHn/8cUpLS+np6aG5uZmB\ngQHuuusuKQa8urqagoICDAYDTU1NWK1WTCYTDocDjUYDINUol89HLm2o1WpMJhPr1q3j4YcfJiMj\nI5UncwzhxIkTzJo1C51OJ6mXBHFaLBaam5sHlfcdSYwa0gyFZCDMeEi4/tE1oRJ2+J8jzlMqlWRl\nZZGTk4PL5eLVV19lzZo1PPzwwwHb6ujoQKvVUl1dzZ/+9CdKS0ul37q7uwGkomWCMAVOnjwp/b1t\n2za2bdsm/X/16tX85S9/oaKigtbWVvLz85k0aRIvv/wydrsdnU5HX19f4PC1/5uHVqtly5YtbNmy\nJehapDB6kZaWxoQJE/B6vWg0Gk6cOAFcvP4VFRVcuHAhLv0qlcqw3JhGRex5OAkdErklj1f//m2G\n6kPuDiQ/R4QyCqd1YYRZtmwZhw4d4rnnnhvU1pVXXsmOHTvi9hbfuHEjixYtwmq1sm3bNn7xi19w\n+vRp7r33Xp5//vmgzstC55menk5ubm7AsacwdvD444+zefNmpk2bxs6dO6moqKCqqgqn0xl2xcpI\nID9vTMWe+2MsEmY0fcj1fnKLs5DAPR4Pdrud/v5+BgYGsNlsFBcXc9999w1qa/v27XHd9qxatYq8\nvDwGBgb4whe+QFZWFtdddx09PT1DJiYRsekZGRkUFRWRlZUVtzGmkHj09/dTXFxMf38/M2bM4Nix\nY4Puy5F2ch/1pJloo0+8+veXFkNBEI080YWcMOVbe7EN+fjjj3n77bc5fPgwM2bMkHSKI40bb7wR\nk8nE1q1b2bNnD0ajkbS0NCkgQV4yWKVSYTKZmDt3LgqFQioel8LYxDvvvENmZiazZs3CZrMxb968\nQTrvkUZI0mxoaGDZsmVMmzaN6dOn8+STTwLQ3t7OypUrKS8v56qrrvKxoj766KOUlZUxZcqUmOid\ngunxEqnDjKeVPFic9VDHK5VKyT1I+FHKncHF/+W+l+PHj2fOnDlMnjyZQ4cOxTSeNxI8+eSTPP30\n0+zbtw+lUsnatWuprKxEq9VKEUaCMEWm7eeeew6DwZCQ8aYQX3z7299m9erVwEU1UWdnJ/v378ft\ndrN7926pHDUkxtE9pE7z/PnznD9/nlmzZtHb28vcuXN57bXX+OMf/0hOTg4PPvggjz/+OB0dHTz2\n2GNUV1dzxx138NFHH9HY2MiKFSs4ceLEoJIJkUhogdxREu24Hk/ClEuEQ81R/rtKpcJgMEiK8t7e\nXmmsFotFutHS0tIwm80sWLCA7u5utmzZQnNzc9DUXCONO++8U0qm/Prrr+N0OgeV0dDpdGzbti1h\nJJ9CfFFUVMScOXMoLCykrq6Onp4e+vr66Orqku4HoXsMVlIlnjrNkMyVn58vOZmaTCYqKytpbGxk\n48aNvP322wCsXbuWK664gscee4wNGzZw++23o9FoKC4uprS0lD179rBo0aKoJgGBpa1ESpkjQZj+\nLxWxTZX/X/wrJDCPx8O5c+dYsmQJNTU1tLS0SNLYlClTaG5uxuPxUFxcTE1NDa+88gptbW1xmUu0\neP7558nKysLhcPCb3/yGP//5zz7WeaVSyR133MEbb7yRwFGmEE888sgjuN1ufvvb3+JwOHyIMp7x\n5xBeWd+ImOf06dMcOHCAhQsX0tzcLIU5Wa1WmpubATh37hyFhYXSOYWFhTQ2NkY6dh/4b88TWe88\nnjpMOWH6R8fIHXvl6yGvBDkwMEB/fz/V1dVUVlaSnp7ODTfcQH9/P+fPn6e0tJSKigrWr1/Pb37z\nm6QjTIH29na+9a1vMTAwMChCSKvV8uqrr/Jf//VfiR5mCnHCm2++yfvvvy9VA4CL5BjL8tDBEI6D\ne9gM0Nvby80338wvf/lLzGbzoI7CTZIrIF+ASL38x1K2Iv86J4IYQlVyDDaWgYEBGhsbaWtrQ6fT\n8f777zN79myefvpp6ZjnnnuOu+66K3aTiAN+9KMfAfC9732Po0ePStKmSqVi586dbNiwIZHDSyGO\nOHXqFOnp6dI9LgqvCcTLWi6Sg4Qi57AkTZfLxc0338xdd93FjTfeCFyULoVzc1NTE3l5eQAUFBTQ\n0NAgnXv27FkKCgoGd/x/+rhQDtv+SJS1PJbJN+TSk7x98cnKypKSZMilS3m2cznkek1xQwndTEZG\nBiqVii1btkgx6MlOmPCPeHnhzC5fn+uvv55f/OIXiR5iCnHAqlWr+Oijj/jiF78oFQl86KGHgMFZ\njmK9NRfpD7VaLVqtNuhxIQ1BAwMDrF27luzsbJ8b9cEHHyQ7O5tvf/vbPPbYY3R2dvoYgvbs2SMZ\ngk6ePBkwiWw4EA+N+DsRusxoMq4H2kIHO078LqzERqNRumHq6up8timBILb28nbU6otF0IxGI/Pm\nzePll1+WIitGEywWC8uXL0epVOJ2u1GpVBw+fJgTJ06kkg2PYXz605+msLCQSZMmsXv3bg4ePCgZ\nM8WzMJSxZzjlfcW5URuC3nvvPZ5//nlmzpzJ7NmzgYsuRd/5zne49dZb+cMf/kBxcTEvvfQSAFOn\nTuXWW29l6tSpqNVqnnnmmZhlLE9WwpSrFyLNxCQgzhPRDW63m7a2NtRqtU9eTHmJU3FeoGQW4jyF\nQkFNTQ3XX389/f39/OpXvwp7fMmAjo4O5s6dS319PZ2dnSiVSoqLizl69Giih5ZCHLB69Wra29sZ\nGBjAYDDw4YcfcvTo0aTJpQmjIIxSSE0jXWIXghOmf+3uSBFIYpavR05ODmazmYyMDDo7O2ltbQ2q\n45SPUaxRZmYmOTk5dHV10dLSwpo1a3juuec4fPhwxGNNFvztb3/jlVdeAS76Dr/zzjspl6MxiM9+\n9rPU1taSn5+PRqOhqamJtrY2SdcYbpnehEqayYJkqBo53HrrQi/p34Z/Ug5RB0WhUOD1eqVtu/yG\nUalUGI1Gqea4OFdsY9PS0pg6dSp/+MMf+PnPfz7qt7I7duwgPT0dp9MphYGmMLZQUVFBT08POp2O\npqYm+vv7B1nQkwFJH0YZLHNPPOFfTygWBdnk+QD94a+CENbC3t5eSkpK0Ol0UpEz0ZZCoZAkUmEo\nEVEzcNH1q66ujqysLJqbm0d97Zyf//znHD16FL1ez6lTp4YlSaSQnKirq+Nzn/scOp0OvV4vqaLE\nLktOmokUApKeNOOZdDQQAlm0h9t/qDaC6UOdTieHDh1i2rRppKenM378eMmqrtfrpZo//tZlgf7+\nfq699lo+85nPDGv8yQKFQoHZbE6Yy1kK8YXT6eTXv/41S5YskbL9C8TbqV2OUGrAUbE9Hwldptx5\nPFb9hWtEEvAnTbfbLVV8rKys5MyZM+j1ekkaVSgUfOELX2D9+vW4XC5ycnJobW1FpVKRnZ3N2rVr\nufbaa2Myl2SAeHkkMrghhfjg0Ucf5ezZs1x++eW88cYbnDp1ChiebjJeGBWkGQiCbEI9QMHeUHLp\nLtZkCeH7dcrdhAJ9PzAwQHp6Olarlfb2dinLjyiIdvToUQYGBsjKyqKsrIyenh4UCgV9fX28/PLL\n3H///TzxxBMxm1ci8Ytf/IKvfOUrKdIcYzCZTNTX13PixAneeecd7Ha7TxXKZNFlCow60ozUV3Oo\nByyQuw4wSH8Sr/ENVftbbjTq7u6mq6sLpVLJt771LQ4fPixZwnU6HS6Xi7S0NDIzMykoKKCrq0uq\n2KjX66OaR7JCHimSwthAb28vFy5cIC8vj3Pnzg1K/ZZsRsyk12nKIRJThANhFAlWU1ur1WIwGMjM\nzJSMLPIiTvJ0amEXXIqgAqaYS6DEHGI88jCyo0ePSkT48MMPU1tby5o1a3jzzTc5d+4cH330EQ88\n8AB2u53CwkKMRiOLFy/mgw8+CGs8owXvvffekNEaKYwu3HzzzVx//fWcPn2arq4uXC6XTxajZETS\n+2maTCYgfHefUMf5ZxIymUz09/fjdDpDSpeB0ur7txlu4bNgCX81Gg05OTlSrLVCoWD27Nk0NDQw\nceJE0tPTQ9b3XrRoEcuWLSMrK4sHHngg5HhGG2bNmkVVVVWih5FCjHDfffexY8cOHA6H5GIkJ81A\nBBqKVIdDuuI5H9V+muEQbDjbYnk7grj1ej0OhwO1Wh3SWToQ2UfiEiWv4ZOdnU13d7fUp/w3j8fD\nuHHjaG1tRaPR0NjYSHd3NzU1NZLF3Ol0Bu3ngw8+oKWlhc9+9rMhxzQakSLMsYOlS5eya9cu7Ha7\ntC1Ptu24P0aFpDncomqBCFWhUKDX60lLS8Pj8eByuSQFdKh2hR7UaDRKjtbB3mz+kq/Ywo8bN47O\nzk6frYjYkms0GsxmMxMmTJCIMzMzk/r6ep/KjqHw4YcfsnDhwrCPTyGFkcKyZcvQaDScO3dOMvqI\n5yCUlBkqA1iw88LFqJc0QxGi/zbXf5Jyh285tFotKpWKgYEBSerT6/XYbDbJEBSoFokgTJVKRWFh\nIefPn6enpweNRuPzlhRE7R8nLoixp6cHk8mEzWbzURcMDAxIcx4/fjxms5nLLruMqqqqiMMGU4SZ\nQrLBbDZzzz33sHv3bvr6+iSyTDYL+VBIetL0r7Do9XolYvIvgyHIR/67f3YlIfmlpaVhMBgwm820\ntrZKUqMgUo/HMyiuWyTFhYukKy66PKmGTqcjLS1Nqg0uztdqtZJvpSiha7VaaWlpweFwYDKZsNvt\nABQXF9Pd3U1zczMffPABer2eWbNm8e///u/xWeQUUhgBlJSUABeNeXa73UdiFM/sSCQaHi6SnjSF\nBCckSiE5ChIDBv2tUqkkVxyv1+sj8YnfzWYz8+fPZ8OGDdTW1gJw6aWXSlKmWq2W0uwrlUpycnJo\na2uT+tbr9Xi9XqxWKx0dHVLbcPFtKu9XFDTTarW4XC60Wi0Wi4X+/n6ys7NxOBzk5ubS29uL2+3G\naDQybdo08vPz+f3vfz+qE22kkMK0adP49Kc/zQcffIDdbpeMrqNBfxkIo8rlKBiiDasL57yhkmsM\nt7/RtCVJIYVoMdbCXpPeEJSVlSUZceKxPU9PT6e1tRW9Xo/dbpd0mvIKiOJf/+15VlYW7e3tPiny\nVSpVWNtzvV5PQUGBz/bc4XAwMDAgbc9zc3P58MMPueaaa7jkkku48847o1jtFFJIDpSWlkrRa8Lo\nKp5nYbgJJ/1bog1BSU+amZmZQ/4+HEOQRqNBp9NhsVjo7u7G6/VGZAgqKSmRDEGi71CGIOE0r9fr\nMRgM2Gw2PB6P1O7AwIBUl3zhwoX09vayZMkSPv74Y+rq6nj++efDWrcUUkhGpKenc/fddwc0BPmX\navH/WyBFmiHwSXU5MplMFBUVpVyOUhiTuPLKK1Gr1aPS5WhM6DRDVZDzer0BF1EYfOx2uxSN4N9u\noI8g2Pb2dpxO55CuQIIU5ZEOXq9XUogLohaSrdfrlfw0a2pqJOPQyZMnUalULFu2LKwwwkmTJvHy\nyy+HPC6FFBKB7du3s2XLFiwWCwaDAcBHDScQSHBJdMKWUUGa4fhxCWIc6jj/LNBut1uKRAjnzSTO\nkX8E2cqJMdhHEK7T6aS1tdXHiih+Ey5MTU1NuFwu+vv7KSwsJD09nbKyMi699NIho4Hgon/mbbfd\nRn5+fsg5jUbMmjUr0UNIIUZ49913Wbp0KXq9XtqVJZoUQyHpSVOQWTgiuThOSHOBjvf/XRBVsLbl\niupg7hHyLbaomDfUx+l04nA4pOQE8o/D4aC1tZX+/n5pbIcOHcLlctHZ2Ulubi7Z2dmsXLmSXbt2\nsXTpUsrLy6msrARgzZo1LF68mObmZikn4VjCokWLfGpgpzC6sXr1ak6dOoVOp6OkpCQhxRMjRdLr\nNPV6/aCqjbFa2GRNDScSeojyxWlpacyZM4empibWrVvHoUOHJN/NCRMm8NZbbzFx4kSmTZvG8ePH\npdRwx48fR6/X8/7770c1l2TEt771Lf76179KvrUpjA3ccsstqNVqKfJNLoikEnYME0LvF4skxMJx\nXW69jsX45K5JQ0FsxcW//uMUbaWnp5Oens65c+f42c9+5pOE2G63o1ar6e3tpauri8bGRumlNHv2\nbD90NtoAACAASURBVMxm85gize7u7qROG5ZC5DCZTOTk5HDixAk0Gg0ej2dQEcFkcoJPflk4COS6\nwKE+/npF//Pl2/WhtuCRji3ceNpAbhby70US4ubmZnp6eujs7OTcuXN0dXXR1tZGZWUlSqWS9vZ2\nTpw4IW37jUYjq1ev5pe//OWw55MsuP/++ykrK0uqByiF4aO3t5eioiIqKyv5/ve/z9KlS33qXSWb\nc/yo2J6PpHLYv7BarNsc6nd5EmThEqVWq5k5cyanT59Gp9PR2toqWf0tFovkWypIV5xrMBjIyMig\npKSEY8eOsWHDhpjMJZG46qqrWLhwIb///e9pampK9HBSiAPmz5/PihUr2L9/P8ePHwf+4cUiR2p7\nHgIjyevyrbI/EcWizaEg4tUFtFot06ZN48iRI5J13ev1olKppDZtNhtOp1Pazsjj9A0GA5s2beLQ\noUNRjz2ZMDAwQE9PTyr8dIxCq9Vy7733sn79einHrfwZlO8w5PkmYo1QO5mk354noriS/9ZabOGH\nMwax9Q9m0RcQxKnT6TCZTNTW1kpbbkGMop3W1la6u7txOp0+IWkA48aNY/LkybS1tZGXl0dOTk7U\nY08GfPOb36SyshK73c6kSZNSdYLGICZPnswLL7yAw+HAbrf7FDz0L+WdSLekpCdNgZFOGRWI4OSu\nR8FcmoaCEPv95yJvx+v1kpaWRlZWFunp6SiVSh8fTrl/aEdHB/39/YP0uGq1mr6+Pnbv3k1ubi4P\nPPDAqPfZXL58Od3d3djtdgwGQ9LpuVIYPo4dO4bZbMbhcDBu3DgqKirIysryyf+QDBg1r+tEbMn8\nc2rKx+IfUx7o72AQHgByaUlImAqFApvNhlarpampSYrPFcf49y226yqVSmpXkItarWbcuHF89NFH\nXH311SxZsoRf//rXUa9HovD444/z+uuvY7fbJTesSBMypzA6oFKpyM3NRa1WU1JSgkajobu7W/J0\nSYZ8m0lPmvJF8tf5jQSCEacc/mMEwtpKuN1uafshJ01RDTMzM1O6YYZyvhduU6If4QkgcpGWlZXx\nyiuvSIr10QSLxcLevXtRKBS43W5UKhVnzpxJOjeUFGIDEfp73XXX4XA4WLBgAW63m48//lhyDUy0\nTjvpt+eBCGmkEc3D6R8+KT7+BChP9iHmZzQaaW1tpaamRopND7StFwgkgcJFqXfixIn09vbyX//1\nXxHPIRnw1a9+FZVKJUVIuVwu5syZw3/8x38kemgpxAE33HADAHfccQenTp3i73//O5/73OcC+mUn\nSq+Z9C5HcNHtSI5EGQHi0a9/tJOoyR4qbNR/LOL/Op1OclfS6XTk5+eTk5PD008/LR373HPP8fnP\nfz7GM4kPHnroIY4ePSqVNFapVOzatYuurq6ESxwpxAcLFizAbDbT1dUl6fNtNpukfpI/G8Fci4bj\nciTOHbWp4WAwaQ7XBWg4iBdh+/uHhlsa2D8UUyQ3vuSSS9i/fz/XXHMNL7/8MlarldLSUgDWr19P\nS0tLPKYRM/zgBz+gpKSEl19+WaqdBBfnqdPpWL58Offdd18CR5hCvPC5z30Oo9HIgQMHfIygcg+S\noUIsh/o+HIQizaTfnsNgI1AidVnxCuGTuzSJ7bg8rZx4u/pvw+UFqYRT+9SpUzl69Cjd3d28/vrr\nGAwGrFYrJ0+e5Pjx43zxi1/k3nvvJTs7Oy5zGS4sFgs/+9nPJL2lXL3hdDq5+eabU4Q5hnHNNdew\nePFi1Gq1j+V8JOwZ4ciQo0LS9C9rAbFN3BEp4hmhJJeiQ81R/rtKpcJgMFBRUUFra6uUTV6hUGCx\nWCQSTktLw2w2s3DhQrq7u9myZQtNTU2cPn06LvOJFHfeeSelpaVkZWXx+uuvS8Xt4B9Z+HU6Hdu2\nbUtZ0McoioqKmD17NhMmTODUqVP09PTQ399PV1eXdD+Eyn4WrXAjP29US5qB4F9LZCQRzyp68psg\n1BzlOUSFMejYsWNScmTxaW1tpbe3F7vdjt1up6Ojg3fffZe2tjYuvfRSli9fHpe5RAO73U5ZWRlH\njx6VHhC5LkvMd8qUKfz4xz9O9HBTiANuu+02dDodTz31FIsXL6akpITp06dTWlo6qLxNIgSnUSFp\nyoP3A/2WKMRT4ow0Bl6lUkmGJDEmuSQqpHVhaNLr9ZhMJtrb21EqlbS1tUlENdK477778Hq9vP/+\n+0yaNImenh4pq71wM5FL1Onp6Sxbtoyurq4UcY5xLF++nOnTp1NSUsJbb72FxWLh7bff9kmuE03q\nuGAY05KmQCLThA1VG2i4CFUnxR9CQpVna5JLqvIIJuEQP3PmTC677DKmT5/OwYMHE0KYABs3bsRm\ns7Fy5Urmz59PX1+flIREPichbfb29rJ//34UCkXS6mVTiA2WLFlCd3c3VVVVpKWlsXfvXsmfOVEY\n9aQJiSXOkeo/3HIc4u0rr0ckLy8sqmCKMsb19fU8+eSTg9q68sorYzsBP2zYsEGy4P/xj3+kra2N\nzZs3Yzabg+qpBPF7vV66uro4c+YM7e3tcR1nComF0Wikrq4Og8HAoUOHmDJlyiDCHGl/zSFJ0263\ns3DhQmbNmsXUqVP57ne/C0B7ezsrV66kvLycq666is7OTumcRx99lLKyMqZMmcKWLVtiMsihHLsF\nEh1eFQ/i9G8zmjkK4lSpVIwfP56ysjIKCgo4efIkfX19PPvsswHP2759O0888QSXXnopJ0+ejGr8\ngfCrX/2K5cuX8+abb/K1r32N//zP/+T48ePYbDZMJhN//vOfJYd+/4+QNJVKJZs3b+a5555L+WqO\nQRiNRv7lX/6FW265haqqKnp6evjggw8wGo2YTKZED29o0tTr9ezYsYOqqio+/vhjduzYwa5du3js\nscdYuXIlJ06cYPny5Tz22GMAVFdX8+KLL1JdXc0bb7zBunXrRozMEmkYEogHcfrHmQ9FEnIpUw6x\nNu3t7VRXV9PQ0MAtt9zCzp07efjhhwO2lZmZicvlYurUqXz+859n8+bNfO973wPAbDYDYLVaAaRq\nggIlJSXk5eUBFyXW3bt3S7+9+OKLjBs3jnPnzmEwGDh//jwbN26kt7cXp9MpVd/0TyQtn4fT6eSq\nq67i+eefZ9KkSUydOjX0QqYwatDX10dDQwMXLlyQEms7HA6cTifHjx+P23MernE35PbcaDQCSJZM\ni8XCxo0bWbt2LQBr167ltddeAy5uuW6//XY0Gg3FxcWUlpayZ8+eaOfgg3AWKtyqkvFErK3q/u2F\n036gY1wuF93d3VLardOnT1NZWUlGRgbjxo3zOTY7O5ulS5dSW1tLZ2cnkyZNYvv27Rw5coTy8nLu\nvvtubr/9dv7pn/6J8vJyKVoH4Dvf+Q4/+MEP+Ld/+zeWL19ORUUFb7/9Nl/60pcAmDp1Kk6nk/7+\nfsaNG4fNZqO3txev1yvVhgnklyv3R3W73fT29vLII4+wYsUKurq6wlvMFEYFysvLSUtLw263Sw7t\nojJrS0vLoPt7pPWbIUnT6/Uya9YsrFYry5YtY9q0aTQ3N0tShtVqpbm5GYBz585RWFgonVtYWEhj\nY2PQdsUn1lusRBuH4u18H6z9YDeP+F6c53Q6pZIZOp2OzMxM4GLRMo1Gw1e/+lU+9alPkZOTQ09P\nDxcuXKCuro6vfe1rbN26lZaWFgYGBujv75fOFbBarezbt49Dhw6xcuVKmpubOXr0KDqdjueff57i\n4mLGjx9PT08Px44dQ6FQsGrVKokwg8F/Xb1eL8XFxbS3t7N8+XImTpwY/gKmkNQ4ceIERqORGTNm\n+LibyQM84gERPCE+wRDSl0WpVFJVVUVXVxdXX301O3bs8PndPzmoP4L9Fol/lXx7Fu55brc7YQ7w\n4gGPlYLaf97BbppgcxXXSJwnsip1dnayY8cOHnjgAfbu3YvZbGblypW899571NTUUF5eLqWYy87O\n5le/+pUkJVqtVrxeL9/+9re5+eabAcjPz+e1115j7ty5nDhxQiJFl8tFZmYmf/zjH5k+fToff/wx\ndrud+vp6zpw5w/vvvy/pLAPNT7h2yR+YtLQ06urq+MIXvkB7ezv19fXDW+QUkgYrVqzgxRdfZNGi\nRYDv8x8Msch+JFIsCgQjzrAZJSMjg09/+tPs27cPq9XK+fPnAWhqapL0VwUFBTQ0NEjnnD17loKC\ngqgmEAsk2gE+VhLvcCIe1Gq1D5kajUYKCwsxGo2UlZWRnp5OZ2cnXV1d7N+/H4PBwMSJE5k7dy79\n/f04HA4pw1BTUxNtbW1SLHBnZyenTp3im9/8JnDRdWjmzJmcOnUKm80mGXRUKhXd3d3Mnj2bAwcO\n0N3dLWUscjqd9PX1DSlFyD0BhMQxd+5cenp6uO222/jFL34BXFQNpDD6cfPNN0s7WjmGIsXhbtEj\n2R0OSZqtra2SZby/v5+33nqL2bNns2rVKsnq+uyzz3LjjTcCsGrVKl544QWcTid1dXX/v70zj26r\nvvL4V7tkSbZsx7tM7DixiRe8xLGBBBqSQJLJ4lBCCqWB6cIwQ8/plD8otKQbbZMA00OBskyntCdl\nKCHjdiAkxiELwQkOZLGdhSSOHTvxEtvyIlnWLtlv/sj8fn16lmTtlp33OccnsSy9d9/v/XTf/d17\nf/eira0NVVVVwV7HJIJRgNPt5wzHub1NFu6xuROHvR0TuKFAHQ4HjEYjtFot5s+fj9tvvx1msxl2\nu50GixYtWoTh4WHY7XaMj4/DbrejqamJKjqr1Yr+/n5cvXoVx44dw8jICH71q18hKSkJIyMjGB4e\nhsVigdPphFAoREpKCgwGAxobG2EymWC3291K5nGr0ntqpAX8IxDmcrnQ0NCAiooK1NbWoqKiAgAQ\nHx8f8ljzTD8HDhygD1D2xhYyj6e7grtPpdnX14fly5ejrKwM1dXVWL9+PVasWIFnn30WBw4cQH5+\nPg4fPkyf8IWFhdi8eTMKCwuxZs0avPHGG2G7wFAtxlB7/IR67umA7BKSSCSQyWSQSCSQSqXIycnB\n//zP/+Dy5cv48MMPMTo6irvvvhtmsxkWiwV1dXVYunTpJIVGduiwFV5eXh6EQiEyMzPhdDpht9tp\ncj2JeC5ZsgQulwsKhcKtXfJUY+NJeZLz22w2GAwGrFy5EhUVFdi0aRN27tzJJ7vPcF588UWsW7cO\n3d3d0Gg0KCoqQnp6usf6E+FUnoHohhmxjRKY3N42FKartFwo5/Xmn2Vv5WSPqVqthkAgoMtxUo+w\nqKgISqUSp0+fpktjuVyOO++8E4cPH4bZbKbHZRfEIHKTJ79UKoVUKkV8fDweeOAB7N69G4mJiTT/\nkzzkhEIhFi5ciLGxMcybNw8NDQ1wOBwBB8w8FTIRi8WIi4uDWq2GSCRCT08P/vmf/xlPP/00X9V9\nhvK1r30Nn332GYAbKY//9m//hsLCQrz11ltQqVQYHByEzWaj/kZ2AW+2YRWooeLp/bNmG2U4dHw4\nuksGe95gz+ntc+R1tkIlii0tLQ1ZWVmwWCzQ6/VwOBxoamrC6dOnMTg4CJ1OB4vFApvNhqSkJJjN\nZmohWiwWaimyq8oANyZzXl4eEhMT0dHRgf7+foyMjNB2wtxSbufOncPg4CCampro8QJVatzIOYG4\nCwQCASQSCX75y1/iiSeeCOjYPLEDUZjAjc01NTU1OHz4MFQqFdLT06FWq5GamjqpcEcoBPqdnDGW\nJjC54G44mI4Ie7AWp7frJlE/Yn2Rn6SkJEgkEhgMBrcCB1KplPoVyf5tsqXSmw+YnFsqlSI5ORmp\nqanQ6/Ww2WxQqVTo6elxW7Z7UubA5CpOXNjZGNzPcq1qsViMxMREmprS1dWFPXv2+D2ePLHPypUr\nsW3bNrz88svIz8/H4OAgOjo6aGtrYnGGYml6CxjPGksz3LALXESLYCwtYGprk0TKRSIR4uLiUFlZ\niblz51KLj1iMY2NjdMK5XC4MDg66BVk8QV4n3QIzMzNhNBphMpnQ3d1Ng0ROp3PSLiZ2pJxbSMTT\ntZC/c+8LN7qenJyMsrIymM1mFBYWuilMpVLp56jyxAI5OTkeXz948CC+/PJLVFVVoaSkBPPmzYPV\naqXtrcNh8AQaL4n5bpSeIBZSuI/J7g4ZaYLJ5fR23UTJ5OXlwWg0QigUQqFQ4OTJkzQyDnjv5T4+\nPo7Lly+7nYfAbmhFlG5vby8mJiYgkUioxcpVuN4UI/dhMdX1k+OSLwh7zIgSrqqqwvHjx1FRUQG9\nXo/Ozk7893//N5qbm/H888/7PD5PbODNIPjxj3+M5ORkvPfeeygpKcHZs2fdVlTTUYh6Rlma5EsY\nSauQvcSMdI5noLmcU8nT3t5OfYtmsxkZGRl0rLjNqLg/bEuRLRNbIZItbSSA9P3vfx9xcXGTouHc\nsePuI/fWqXOqa2dX6waA1NRUXLx4EZcuXUJ7ezuWLFlCA1l1dXWTekvxxC42m21SbdQf/ehHaG1t\nxR/+8AeMjo5CKBRi+fLlGB4epk3XCMF+V4P53IzyabLN8WgXH450xN1fC9ebHOTJKxKJIJFIoNFo\nIBKJ6OTypJj8iWBzl0ACgQAymQwikQgqlQqpqam4du0aDSKxCTbwNdW9JdcpFoshkUgwf/585Obm\nQiKR4Ny5c3A6nVAqlTh//vyM7PV+syEUCqHValFYWIjy8nIkJibCYrHgnnvuwcGDB1FXV0ffo1ar\ncebMGVpvlWy/5c5tf40RX66iWeHTZF/cdES+2ZZSuCFW11THnkrJEUWlUqlw8eJFKJVKj5OK7K6Z\nCnZLDSIn8VumpKR4VJj+Xos3prLy2TuDnE4n2tvbceLECYjFYppPSnyp//Ef/4E1a9YEJQdPdFCr\n1dDpdLBarWhoaMDevXsRFxeH1157DXV1ddQnr1KpIBKJkJqaijlz5oQl/zkYS3NG+jSBG8phOlpd\nsJVDJCLvpF5kKMedmJiAXq/HokWLcP369UnKMZjJxpaLKCuLxQKr1epWgShcLg12nqenvwmFQrcc\nvdHRUXz88cc0i8BgMOAHP/gBmpubcebMmbDIxBMZUlNTIZfLaaEMgUCAy5cv4/Lly/QeMwyDpqYm\nxMXFIS0tjVa2ikQa31TMqOU54L48nc7+QFzCrUCnWq6zr52d7C0UCiGVSmnB1uHhYVit1kn9okOV\njesiiJT/19e4srfYkeU6WbIrFAqoVCoUFRWho6MDQqEQx44dQ09PT0Tk5AkOklt76NAhmtVBVgnA\nPx7EpE+URCJBRkYGOjs7aW0DT26mQDsdeMLb8jx2tE4QhLOSUKiwrSxyg0PxgQYbzSe7dZKTkzEy\nMgK5XE6Xq2zFFu5gWqTugy+LE/jHHOBO7gsXLmD+/PlISEjA7t27IyIbT+g4nU5s27aN1udtaGig\nAUeuO258fBwKhYLuCGIHOYMh2M/NaEsTiC1r0xPhSGHydgx2IQOhUIj58+cDAIxGI8RiMfR6PSQS\nCfU5hrKUCUV2NsGOhSeLk73ZgVjaUqkUMpkM69atg1gsxtNPPx2c4DwRJyMjA319fQCA+vp6bN++\nneYMkxxdT2UCuZkYnpSfP5bmVO+ZFYEgILLpRpEgkLSaqY7BXQJzj9fd3Q2TyQSj0QidTudWrX26\nCpb4SjEKx64N4B/+VpFIhNdffx1z5sxBc3MzTp48Ga7L4AkzAoEAVVVV6O3txdatW9HZ2UkLm3tS\nmOy0t3AEY0P5/IxTmlxmmhL11PvGX7iRbHI8EhiJj493q2PJzbkMBbbiY7fUZb8eDOzxmOpe+npo\nJCUlISEhAb/97W9RWFiIrKwst33MbH7xi18EJStP+GAYBrm5uXjsscdQWVmJY8eOoa2tzS3wQ/7l\nzg32fQ/WygxFb8xIpcl9As1Ugk1j4hYccblcsNvt0Ol0MBqNPpct/uDJKiTLe3ZnUHbqD5EplLQs\nT3vXuXj6QohEIuTm5mLZsmWIi4vDqlWroNFoMDAwgJSUFLzwwgtufZD6+vpokzie6JKamoqHH34Y\nd955J/74xz9ibGwMv/rVr+hWXG4qXDgyP8LNjPNpApP9mtPV1iISBHotXH9nsGPBVoThJNR74+3z\nbH+mRCKBSqVCUlISNm7ciPXr16OzsxNbt27F1q1b8fHHH+Pzzz+H2WxGdXU1RkdH4XA4sHjxYvz0\npz8NWjae4CgpKYFAIIBGo4HRaHTrMuqr1ip3ye7NZRMOfybg3ac5I5Um4B4AitZ+8WgS6DVxlQu7\nyrW39KBIJer7I1+gcOcLOZ5EIkFycjKSkpIwd+5c9PT0wOFwoLq6GhMTE2htbcXcuXMhEAhw5coV\nXLlyBenp6RCLxdBoNLDb7aitrQ318nj8YOPGjdBoNLTyP6nuz956601pBpJWNJVC9NdanTWBIE9E\n88sfLdi+nEDaF3MTzdnLZu7kjOaYsf2gwcBdsnPrEKjVapw7dw5isRhz5szBxYsXsXv3btx7771o\naWlBU1MT9Ho91Go1HA4Hjh49Co1GQxUmyTzgiQwpKSkQCoWwWCwwGAxgGMbnQzSY1tXRIrbzdQIg\nEpWPYgF28MUfay3a1ZoChSjsYFYa4+PjbtflcrkgFotpLyuBQACDwYDs7GyMjo5i4cKF6Ovro3l9\nJEkaAPbu3Yt/+qd/wuOPPw61Wo3a2lra44gn/Lz33nsQi8WoqanBww8/DLvdDoPB4FaH1RueHu7T\n6ducFctzX6/NRgIpHhKryhMIrQgK+16TPE12MReVSoVvfOMb0Ov1uHbtGr766iv6foVCgZGRETzy\nyCP4/PPPsWLFCvz+979HV1dXaBfEExACgQBPPvmkW+sVduCRHejk4ktpBvs3LrNuRxCxMtgE0hd9\nJkOWKv4oHW49yliCXEcwDzv2/We7JEQiEVwuF6xWK3p6evDZZ59NCiBYrVZoNBq0tLTg6tWrOHTo\nEN58802kpKSEtXsqj280Gg0MBgNuueUWFBcX4+TJk2htbQ1pxRiNZfyMtTSBm9vaZBOIxTZdTeWm\nItQWIFyLmhTuYG9nZT84SHdD0qFTJpMhLi4OGo0GycnJqK+vd7NOeSLHzp07cf36dRw7doxWzWIv\n2aeKoofjb56Y1YEgNpEuHByLBLJFkgSGoh0Imopgt3gSy4IbXSWVmNitRdgpKuzkaeBG7yOxWIyE\nhARcuXIFCxcuxB133BHSNd2sZGZmoqyszK/3/v73v8e+fftw/PhxLFiwAIsWLQrJ8InGnJ7RlibA\nW5tcAvVhhqO4SDgJxuL0VfmKPR7kfaQaEimorFarIZfLYTKZ8Omnn4bnQm5Stm/fjomJCTz33HN+\nvb+qqgqpqakwGo2QSCQYGRmByWSi2RKettsG47MMZrPHTWNpArGVnhBtPG07m+r97F09000wFqe3\nLXaAezoa9/pSUlKQmJgIjUaDBQsW8HU3Q0SlUuGLL77AZ599hrVr1/r1mU2bNtH+U3q9Hk6nk9YR\nIPhrBPhaZYbTNpyVSjOWlp3TRaBPVvbWyelWnp4qzU+Fr/atnuaDRCJBUVERli1bhmXLlmHu3LlT\nphvFahZCrLBmzRoIhUIUFBT49f6//vWvKCkpQUpKCv793/+dvk5WB6RGqr9MVe0/XMx4pentCx4L\ne1SnG2/Vkfz93HSPYaBVkLx91lOTt/j4eKxevRr5+fnIz893+9J6g2EY/OAHP/BbppuFrKwsAEB2\ndjZMJhNsNhuSk5OnbDPyzW9+E2vWrMH777+PgYEBZGVlQSqVQi6X05a9MpnMzV0TzAM97FuDw3o0\nnpiEvTUtUEItwhEqgcjtr3xisRgjIyOora3Fm2++iT179vhVqHhiYgIajQZqtRqbNm3yW67Zzt13\n341vfetbOH36NKxWK65cuQKRSITPPvsM2dnZk96vUqnwta99jf7+3HPP0crtMpkMCQkJcDgc6Ovr\nQ3V1NYCprfxoWZnALFCavr4o073MjDVCqanJrmQUbeXp7330Z+sdWe4lJiZiyZIlKCgooNWQJBKJ\nz+MvXrwYS5cuxerVq2kv+VtvvdUv2WYTKpUK69evx7JlywAA3/3ud3H16lXYbDa6l1ypVGLJkiV4\n5JFHUFdXBwAoLy9HTk4Ofv7zn+Ouu+7CwoUL8cc//hFVVVVYuXIlUlNTER8fjyVLlsBut2N0dBSN\njY1+uUW8KcZIzNUZHz0HfEdcb+ZIui/CMS7RTJj391zcucCOmBNfGamMFBcXB7lcjoSEBJSXl2Pt\n2rWoqKjwemyBQIDNmzfDZDIBABISEjA8PIz9+/cDAGpqavDhhx+GeKWxzaJFi9DZ2YnVq1dDLpej\npaUF69atw/79+2lfH5FIhISEBOTm5mJkZARbt27FM888g3Xr1uHSpUswGo0wm82488478dVXX8Fi\nsaC4uBilpaV49dVXIRQKMTIy4rFNr6dAoS//fSjN/mZ19Jy3NgMnHBYjuwhHpPNj/c0r5crB/p0o\nTHZXTZFIBKlUitLSUixdutTrcV999VU0NjYiPT0dVqsVNpsNYrEYY2NjePDBB7F06VJIpVJs3bo1\n+IuMcZYuXYqysjLcdddd0Ol0EIlEkMvlGBgYoN0BSG3X4eFhtLS0QKfT4e2338a3vvUtNDY2oq2t\nDV1dXcjJycGpU6cgk8nQ39+PhoYG1NbWIjs7G6mpqVCr1VAqlfR+ETzNgWguzYFZojSnSjXgo+me\nCVeaEbukVyQfUv6kI3myQoAbyesKhQIajQZyuRwymYwu+x599FEcPHgQFosFAJCTk4OXX34ZNTU1\neP755wEAPT09qK+vx7lz52C1WmG1WiEWi7FlyxaMjIxAq9VCJBJBqVSisrIy3Jc+LVRUVECr1dLf\njx07BqlUisLCQthsNrS0tCA+Ph7Hjx+nFiFZnpOCwkKhED09Pejo6EBGRgbUajWsViuOHDmCy5cv\nUz+ow+FASkoKurq60NPTg/LycpSUlOCWW25BZmamVxl9fb8jNRdnhdIEfCtO3tr0zlQVZoI9PqaW\n6wAAHKxJREFUXqSauAV73ImJCaSmpuKJJ57AihUr0N7eDoVCAYFAgJ07d1LlsG/fPqxZswZnz55F\ndnY2xsbG8MYbb0Cv1+PEiRPUonI6nTh//jzeeecdCIVCDA8PY2xsDLm5uTh16hQ9r1arxe9+97uw\nXX+0WL9+PdauXTup5bFKpcKqVavokvn69etUUbIrcpGVAfF7fvnll5DJZLBarbDb7VTBkvGUy+VI\nSkqC3W6HXq/HkSNH8OWXX9LGa8EoxkgZS7NGaU4Fb236JtzpRcTPFInUpWAegi6XC6Ojo/jzn/+M\nrq4ubNiwAfPmzUNcXBwKCgqwa9cu/PCHP0RDQwMOHToEhmHQ3d2NO+64A6+99hoee+wx7N+/3+0L\n73A4YLfbYTQaYbVasW/fPiQkJLidt6enBxcvXoyZHVdT8f3vfx8AUFxcjI8++ggrV66kfxsfH4fd\nbsfZs2chEonclKO3mq3nz59He3s7+vv7sXfvXnR2dsLhcEzKyhgbG8OFCxfAMAycTidMJhOcTies\nVit0Op3fdWWjwawIBBGmOiYfFJqaSBf0COfx/Q0Akm2TUqkUEokECoUCq1atwsmTJ/HII49gbGwM\nKSkp2LdvH0pKSjAwMIAvvvgCYrEYt9xyCyQSCbKysvDhhx/SqDnwj+AUqQKvUqlQWFiIbdu2AQDi\n4+Px/PPPo7GxEfHx8bSe59tvvw0AePvtt/HMM89gaGgoLOPhL1qtFkqlEjqdDkVFRTh16hRsNhuy\ns7Px0EMP4cKFC7Db7SgsLERFRQUWLlyI1atXw2Aw4KWXXsIXX3wBrVaL48ePw2g00gAQG7Za8XWP\niE9ZqVSioKAAQqEQR44ccdtGSR7AXN95uErAeWNWB4L8JVaeVLFMpLdTsguGhONYgTakI+f/9NNP\nERcXh+bmZmg0Gpw6dQrDw8PYt28fjh49CpvNBqPRiPPnz0MqleKjjz6C3W6f1JVzYmICKpWKpivZ\n7XasWrUKpaWlWLt2LTQaDUZGRtDV1QWLxUL9qMuXL0d9fT2eeOIJADcCTaSFbXx8PBYuXBjy+BCy\nsrJoY7kXX3wRcXFxaG1tRWFhIbKzs7Fw4UI8+uijSExMRHNzM2w2G6xWK1paWvD3v/8db731FpKS\nkjBv3jwAN7IErly5gri4OLfukcSvzW3Ex+3Ayq6T6XK5sHnzZhQUFOD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XKz569KhbF0by\nPqfTCaFQCIZh0NraisTERI/nu/vuu5Gbm4tr164hKSkJo6OjaGtrm1Qvk5zTZDJ5DAAFailGYiNI\ntDaXBKPoY2uGRolwVpye7t0Js4lYjqyH8llPKTzsthgu143+Qnq9HhaLZVKLDQA0RUkgEGDFihWw\nWCx45ZVX8O677wK4oTBdLheNul+/fp12UWDXBGVXICKtJUIZ80gVaIlVhQnchD5NtgzhatXAB4fC\nz3TPD0+Eep895Wyyf/d0fJFIBJlMhgULFiA7OxsWiwWjo6Mwm81ISkrCyZMn8bvf/Q6ffPIJiouL\n8Ze//AVJSUmQSqVoa2uDyWTyWIXIm//SX0USyeLT0fBj+nMOPhDkgXDKwCvO8BOLYxqKTNwHNXf+\nsY/NLhoiFoshk8kgFAoxd+5c2O12WCwWaDQaSCQSzJs3D11dXbR6EbEk582bh6ampkn5pL6S1/1R\nJpFcEURj9eavUuaT2z0Qziclv1QPP7FWYg4I7T572p7IPTY70k2unyzfnU4nSkpKoNPpYLVaMTQ0\nhLGxMahUKqpsyU4Wi8WCs2fPTirtxu1XFOj43iwK0xc3tdKMhPM6FgoKzCZi0c8Zqo+T3XTNW28e\nAnvnkcvlQm1tLU1Gl0qlyMjIwKJFi5Ceno6EhAQ3ZetJKbPx1DDNF+GqcOSJmaIwgZt8eQ5EJudy\nOlvbzmZiZc4A4c3j9HRdnnoLkTxP8jepVIr09HQolUqIRCIMDg5iZGTEbYcPW4H68mt6+t3fv4WD\nSB4/WP8rvzz3QiSenIGW7ufxj1hspRHsZ70tmQncLzl7Kc1ewg8ODsJisaC4uJju8vFXBn+5GRWm\nL256pQlE7qbxijP8xJrvOFx1IQNpLczFZDLh3LlzkEgktAI8ALegUrDn5xXmZHil+f9E6osYS9bR\nbMGfZmbRItTAkKf/+/MZElnPyMhAZmYmhoeH0dfXh6SkJGRkZECtVkMkElE3AInGBwKvMD3DK83/\nJ5IBnFizjmYLsfJACnbucD/nj4+RVCtSKBSQy+WQSCTQ6/UwGAzQaDRISkpCeno6FAoFpFIpFAoF\nFAqFmwL1BHccI63QInn8cDV880bseNZnOcG0TeCZmlgZ13C19PC2xZcssQUCAYRCIebMmUOLfuh0\nOqqEWltbIRaLkZmZCalUCpvNhomJCchkMhgMBo9R9al+DyeRtACDSaEKBt7SZBHp5UgkJ8zNDBnX\n6bY6g5k/nlKOuNfBrnFAsj2ysrLQ2dmJgYEBOBwOWtHIarXSikhmsxkOhwMymYxG2EkE3psMkUzx\nirTCjNYc4C1NDuEo5uGLUKrn8Hgn2CZo4SbQKlqe3k+W4ATyd3aQp6uri/7fbre7+ToB0N1BEokE\nNpsNarUaSqUSADA6OgqHwwHAfVkeaaUTKYUZ7QcmrzQ5RGvwY+ELPhshynO6xjUc1ZqItcm2LkUi\nEf1XLBYjMTERAwMDMBqNdFlK5q7L5aKFh0ldzvHxcSQkJGBoaMhrGbhIzv3ZlKHCL8894OuJGM6l\nSzTzOWeyWyBQ2cm4Ttc1kzlCFFaoxMfHIy4uDvHx8VCr1cjMzERvby9qamrotRKlSaoXkR+73U4L\ndjgcDq8N1AJJdA+ESGY6eAuURRpeaXrA1xM3EjclGlHgm0lpEqZzk4HL5fJbaXq69+xrttvtEIvF\nWL58ObKysuByuaDX61FbW0stSnZBYe6xieXpcrlo8eGpkuvDMW6RWjb7UsS80pxGoq1k+H3rkSOS\ne6Z94a/CmOq+OxwO5ObmYv/+/WhoaKDWIlGY7DqZRKGw62aS95DAENsKj9S4RMIQIA+A6Q748T5N\nLxA/UTQrifNBoshBosLRbKsRyhxi33+JRAKdTge5XI65c+fSohwOh4P+fyprFQDGxsZ8loULB5GK\nvsdCdgRh2gp28PDw8MQ6MdNYLVaeGDw8PDyBwvs0eXh4eAKAV5o8PDw8ARB1pVlfX49bb70VCxYs\nwAsvvBDt0/vkO9/5DtLS0lBSUkJfGxkZwb333ov8/Hzcd999MBgM9G/bt2/HggULcOutt+KTTz6Z\nDpEp3d3duOeee1BUVITi4mK8+uqrAGJffpvNhurqapSVlaGwsBA//vGPZ4TchPHxcZSXl2P9+vUA\nZo7cOTk5uO2221BeXo6qqioAM0d2g8GATZs2YeHChSgsLMSXX34ZXdmZKOJyuZi8vDyms7OTcTgc\nTGlpKXPhwoVoiuCThoYGpqmpiSkuLqavPf3008wLL7zAMAzD7Nixg3nmmWcYhmGYr776iiktLWUc\nDgfT2dnJ5OXlMePj49MiN8MwTF9fH9Pc3MwwDMOMjY0x+fn5zIULF2aE/GazmWEYhnE6nUx1dTVz\n9OjRGSE3wzDMb3/7W+ab3/wms379eoZhZs58ycnJYYaHh91emymyP/roo8zbb7/NMMyNOWMwGKIq\ne1SVZmNjI7Nq1Sr6+/bt25nt27dHU4Qp6ezsdFOaBQUFTH9/P8MwNxRTQUEBwzAMs23bNmbHjh30\nfatWrWKOHz8eXWF9UFNTwxw4cGBGyW82m5nKykrm/PnzM0Lu7u5uZsWKFczhw4eZdevWMQwzc+ZL\nTk4OMzQ05PbaTJDdYDAwubm5k16PpuxRXZ739vYiOzub/q7VatHb2xtNEQJmYGAAaWlpAIC0tDQM\nDAwAAK5fvw6tVkvfF0vXcvXqVTQ3N6O6unpGyD8xMYGysjKkpaVRF8NMkPupp57CSy+95JaHORPk\nBm6k/a1cuRKVlZX4r//6LwAzQ/bOzk6kpKTg29/+NioqKvD444/DbDZHVfaoKs2Znp/JLtHl7e/T\njclkwgMPPIBXXnkFarXa7W+xKr9QKERLSwt6enrQ0NCATz/9dJJcsSb33r17kZqaivLycq8pdLEo\nN+Hzzz9Hc3MzPv74Y7z++us4evSo299jVXaXy4WmpiY8+eSTaGpqglKpxI4dOybJFknZo6o0s7Ky\n0N3dTX/v7u52ewrEImlpaejv7wcA9PX1ITU1FcDka+np6UFWVta0yEhwOp144IEHsGXLFmzcuBHA\nzJI/ISEBa9euxenTp2Ne7sbGRuzZswe5ubl4+OGHcfjwYWzZsiXm5SZkZGQAAFJSUnD//ffjxIkT\nM0J2rVYLrVaLxYsXAwA2bdqEpqYmpKenR032qCrNyspKtLW14erVq3A4HHj//fexYcOGaIoQMBs2\nbMDOnTsBADt37qTKaMOGDdi1axccDgc6OzvR1tZGo5DTAcMw+O53v4vCwkL88Ic/pK/HuvxDQ0M0\n0mm1WnHgwAGUl5fHvNzbtm1Dd3c3Ojs7sWvXLixfvhzvvPNOzMsNABaLBWNjYwAAs9mMTz75BCUl\nJTNC9vT0dGRnZ+Py5csAgIMHD6KoqAjr16+PnuwheUSDoK6ujsnPz2fy8vKYbdu2Rfv0PnnooYeY\njIwMRiKRMFqtlvnTn/7EDA8PMytWrGAWLFjA3HvvvYxer6fv/81vfsPk5eUxBQUFTH19/TRKzjBH\njx5lBAIBU1paypSVlTFlZWXMxx9/HPPynz17likvL2dKS0uZkpIS5sUXX2QYhol5udkcOXKERs9n\ngtwdHR1MaWkpU1payhQVFdHv4UyQnWEYpqWlhamsrGRuu+025v7772cMBkNUZZ+Wvec8PDw8MxV+\nRxAPDw9PAPBKk4eHhycAeKXJw8PDEwC80uTh4eEJAF5p8vDw8AQArzR5eHh4AuD/ADCgpGyACvpf\nAAAAAElFTkSuQmCC\n" } ], "prompt_number": 106 }, { "cell_type": "code", "collapsed": false, "input": [ "Mn3 = mandelbrot(-1.2+1.6j,1.2-1.6j,240,64, func=lambda z, c: z**3 + c)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 107 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(Mn3)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 108, "text": [ "" ] }, { "output_type": "display_data", "png": 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6NHw+H86fPy+stSSIWCxGQ0MD5HI5Fi5ciPPnz6OxsRFnz57F4OAg/H5/1LKA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\ngg==\n" } ], "prompt_number": 108 }, { "cell_type": "code", "collapsed": false, "input": [ "Mn4 = mandelbrot(-1.2+1.6j, 1.2-1.6j, 320, 64, func=lambda z, c: z**4 + c)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 109 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(Mn4)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 110, "text": [ "" ] }, { "output_type": "display_data", "png": 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lpcFsNsPr9fqJY6obed6KJRqIRCJkZWXRHfotW7bgf//3f6+r8gsLGZVKhd27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\n" } ], "prompt_number": 110 }, { "cell_type": "code", "collapsed": false, "input": [ "Mn2_5 = mandelbrot(-1.6 + 1.2j, 1.6 - 1.2j, 320, 64, func=lambda z,c: z**2.5 + c)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 112 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(Mn2_5)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 113, "text": [ "" ] }, { "output_type": "display_data", "png": 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K5NcefPBBioqKePDBB3nssccYGBjg0UcfHb1TVTRllL00E607o9FosNlsnHfe\nefT09LBp0yY6Ojq48cYbqa+v5/vf/z5r1qzB5/PxyiuvpOxYJsuqVavo6enh0ksvxeVysW7dOhYv\nXkxnZycPPvhguocns2bNGvbv3w+cCYdcfPHFdHV1cd5553H48GFZVIQHIGbnRX7pZPjBD35AW1sb\nr732GqFQiL6+vlHW7HSEc7rCp3ZBGp+UimZ9fT2FhYXya3V1dezZs4eSkhK6urrYuHEjH3744eid\nqqIpoxyb0vIUKSbC2hHxtcLCQsxmM0NDQ1RUVNDU1CSvLd7e3k5XVxfd3d0pPa7x+PWvf8327dsZ\nGBjgrbfe4tFHH+VLX/pS2sYzGfLy8ti8eTNHjx5Fp9ORn59Pa2urXAZZXFzMj370IzZu3DjhWvDx\n/OhHP+J//ud/6O7ulmfPhVhOtCDaeMKmuuipJWXLXWg0Gj7+8Y+zevVq/vu//xs4U2FRUlICQElJ\nSVpv4NmA8sJV3kDixhL9NUdGRnC73bS2ttLa2kp/fz9HjhzB7/czMjKC2WzmU5/6FHV1dek6FAC+\n+93v8sILL/Dqq6/i9/szXjDhoxn2zs5OysrK+Mu//Evq6urkcsu8vDyef/75c4oZd3Z2jpo5Vz4U\nlQ/GsdrXjZWbOZXmIomYbFK9ytlMywR78803KSsro6enhyuvvPKsG3a8L1Z5IWVzfayy3FJZfinO\nm8glFK3TlBZCNBqVOwj19/dz7Ngxufv5TLJp0yaam5s5efIkb7zxxozvf7r4/X7ZVS8oKODgwYN4\nPB6CwSA5OTnYbDa+9a1v0d/fP6XtVlRU8NJLL+H3+89q9OH3+0e1/kuU9K68NhK1zZtu6ze1ddxH\nTMXynpZSlZWVAWeWObjpppvYv3+/7JbDmaesw+FI+FlluVy2CmYiErls4jVAbk4MZx42hYWFcjef\n/v7+Sc3sJpvpWj2ZRENDA8899xwXXHABK1askJuC3HDDDVit1iltS6RZKctClSWxyoej0uoUoRiD\nwXBWc5BkolqbH6FML5twgb9z3YnX62V4eBgAj8fDyy+/zLJly7jxxht58sknAXjyySfZvHnzue4i\naxEimchdB+Tej7fddhsXXHABWq0Wu90uz1RXVFRQXV3N1VdfTVFRUcrH+8orr3DixImU72emGBkZ\noaWlhRMnThCNRunt7WXTpk1TXoO+ra2NpUuX8ulPf5qFCxcCZ+KUIrc2XjgFQiRF+lkqxU01WKbO\nObvn3d0DGpbZAAAgAElEQVTd3HTTTcAZV/vOO+/kqquuYvXq1dxyyy389Kc/lVOO0slsaPufqHJI\nuGvKG0tZZRSNRjl8+DChUEhugDF//nyWL1/O0NCQ3L3nwgsv5I9//GPG5HDOBo4ePcrRo0eBMx2L\nTCYT8+bNO6dCAofDQXt7u9ztSIRZRJPpRN2wNBqNnMQfDofHnCxKlouuuulTY84nt6ezCmMys+eC\n8caZyJUTC6yJ5WKLi4upra2lo6NDft/Jkye5//77aWlp4cc//jF/9Vd/hcPhyKjUn9mCw+Ggr69v\nyvmR9913Hy+++CIVFRVIkoTD4aClpYVoNIrH4yEQCIzyIJRLnUymIUsyZsFncsnj2UJWL+E7F0QT\nzm7wIUmSLJ7id4PBQDAYRJIkioqKCIVCOJ1Otm7ditfr5YUXXqC8vJylS5eydevWSY3r7rvvpqCg\ngP/4j/+Y1PtVRnPVVVfhdrvl9LBYLIbX65VLYEWyeyLxmynRnOy+sgm1YcccQLjlQjjF76IOXdRl\nw5kbSVQLHT9+nMcee0zugh4Khfj0pz/NBRdcgM1mY/PmzTzzzDNYLBb6+vqora0FkOuln3vuOdUK\nmQbi5jt16tSoddBFVkSmnNvJNBVROYNqaaaQqViak3lvvLUZ/5n4dmbxOYAi79BgMMhxNdGNXHTj\nEctSfPzjH+cb3/gGHR0dUz1slf/PFVdcwU033cTTTz8tL7AmRDO+lPJcLU1IXnWPKpofobrnaSLZ\nogmJ3XQl8cIp3qt048W/ytioXq9Hp9PJHcdVJkacPyF2Op1uVCf4Cy+8EKfTidlspru7m7a2tlFr\n2SvzbhO52Kpopg/VPZ/DxM+8i5tPLN8qhDMcDssumCRJRCIRuZu5mIw4duyYKphToLS0lC9/+cs0\nNjYSCAT47Gc/y3e/+116e3uZP38+p0+fpqmpadRMuLDyxaz4eMz0rLbqok8O1dJMITNhaSbK9RvP\n2hT70Wg0LFmyhFWrVvG9730vLUnxc4V58+Zx2WWX0dvbSyAQIBgMEggERollfHejiVxzwWRELJnN\nN9RGHmdQLc1ZgDIvc6qfE/HJRMRPIBmNRiorKzl9+jSHDh1Kex7tXED07Ozv7yc/Px+NRoPb7SYS\nicj9A4RAZsrEz1goQwwqiVHLAVLIVAUwWV1nxhPglStXcsEFFxAMBsnLy0vK/rKdI0eO8NOf/pSm\npia5f6dIXp8Mc6kMNRtQRTNFpHPZVGUHHYPBQFlZmeyaV1dX861vfYu2tjb8fn9axjdXKSoqorS0\nFIvFwvz588nLy5PFUFwLicRxPNGczDWUbMFVBXx81JhmiphKPHMqn4mPaSb6nFhP3OfzUVpaitVq\npaysjFOnTtHT0zPlnpAqk+fyyy9HkiTWrVvHoUOH5PxMQO5ulKhz+3i9NWc6rqlWCKkxzaxCuZ54\naWkpXq8Xn8+HXq+nu7tbnfBJMXv27AHA5/NRXl6O2WyW82CvueYann32WVmUlLPjwjMYrynxTKEc\ni8rZqO75LEZYlEprWunqWa1Wli5dCpxZK0dNJ5o5QqEQsVgMg8FAUVERtbW1lJSUyO3hEoVvxgrp\npCPMo7roY6OK5ixCmVokKn4kSaKiooKbb76Zmpoa4CN3/cSJEzQ2NtLS0sJbb72lWg4zSGdnJ7FY\njNOnT7N161beffddHA7HWZ2rEglnoqWEVTIH1T1PAamaBEpUQlleXs5tt93GgQMHmDdvHrFYjM7O\nToxGI36/X15u5NVXX036eFTGpq2tjUAgwMDAAN/73vdoamrixRdflFvBCRdc/F/pkovvNp1xRdVF\nHxv1EZYiUune6HQ6jEYjixYtwuPx8NZbb1FZWcnSpUvR6/V4vV7y8/O55JJLyM/PT9k4VManp6eH\ncDjMwYMH+Yd/+AdaW1ux2WwYDIZRD1adTnfWT7zFmY6+sKqLnpg5b2kmavA7G4lfqdJms1FUVITP\n5+P06dP4/X42bNjA22+/TSgUwmq14vF4GBoaSvPIVeBMN/g777yTzs5Onn766bNKX5UCZTAYsNls\n9Pf3EwwGs34mO9OY86KZ7pnIVOHxeHC5XEiSxKlTp6iqquInP/mJvC73qVOnuPrqqzl06BCdnZ1p\nHm1288ADD/Dhhx9y4MABeYkYpaU5VlyzoKAgrau5qi56YuZ8nibMfK7mue5vvDzN+Bpy0cYtFotx\n7NgxNBqNenFnMLfffjsVFRX84Q9/kB9sIpYpyi3hzPdssVjIzc3F5XLh8/nOWi89EamqGc/W9dFT\ntu65yrkjUoUmI7BKwRSiqtVq8fv99PX1UVpaylVXXZXS8apMj23bthGJROQ2fKJS6/LLL2fZsmVy\nxym9Xs9VV13FY489hsFgwGg0pnvoKnHMefc8ExmrJ6aIbU1kMWg0GnJycmhvb+cHP/gBt912m+qC\nzwI+/PBDTCaTPINeV1dHSUkJLpeLkpISgsEgPp+PN998k0OHDuHz+eRu/OlCnQw6G1U0Z5hEZZBw\n5uI0GAyj0k/iJwiU24hGo8ybN49nnnkm5WNWSQ49PT3Y7XY0Gg1Hjx4lHA7T29tLVVUVdXV1+Hw+\neY2nvr4+QqHQqCVNYOZ7bKpxzbNRRTPJjJefOdZTWxnLVKacBAKBhN2KioqK6O3t5a677sJut/Pb\n3/42eQegkjK2bNnCn/70J7RaLS6XC5fLBZzJ6XzrrbcAuOeeeygrK6OwsJD6+vpRnaiEgKmz6elF\nnQiaoX0lahas/IxWq8VoNDJv3jxCoRDNzc1YLBaMRiMDAwMEg0FZXM8//3w++OADotEol1xyCTt2\n7Ej1YakkAaPRyJYtW/jVr36V8O+FhYXU1tZiMpmw2+0cOXJEnggSlt5Yk0GpbB48XjORuYo6EZQB\njNX+S3RZt9lsbNmyheuuu46FCxdiNpspKyujoqICm82GJEly6eSHH35IVVUVhYWFqmDOIiRJ4uKL\nLx7z77W1tXIz4+PHjxMIBDJi9lrt9zmarBDNTL3ohGDm5eVhtVrJyckhEAjQ0dFBTU0NJSUlaDQa\nfD4fl1xyCQUFBfJnBgcH035cKlMjHA7z5ptvjvn3aDQqL8Xs8/nU7zdDUUUziYwVz4wXTSF8yh9J\nkmhpaaGzsxOr1cqCBQtwOp1cdNFFSJKE3+/n1ltvpaCggJtuugmXy8Vdd90lr1OukvkEAgG2b9+e\n8G/FxcVEo1FGRkZkd1wVzcwkK0RzpkgkmkrBFK3c4gXT5/MRi8Wora3F5XJRWFhIdXU1kiRhNpu5\n4oorOH78OJIkMTAwwBtvvEFfXx+7du1SyyTnCIWFhZhMplHxSmVO7kSkuhOS6qJ/RFZMBMHMTAYl\n2odSHHU6nZynFw6HR1X4mEwmKioqMJvNLFu2jNbWVnQ6HX6/n+LiYnbv3o3D4eDAgQN4vd6UH4vK\nzHHBBRewYsUK1q9fz86dOzl8+LDsqouu7eLfdFQFCbLJ+lU7t6cJMWMuBLO4uBg4Y0G43W75RhCi\nWVNTw9DQEG63m87OTtrb22lvb5c7FzU1NckleCqzl9zcXC688EKi0SgVFRUYDAbC4TCNjY243W7M\nZjPl5eU0Nzej0WjkenWVzEAVzSQxXielvLw8bDYbxcXFDAwM4PV60ev1SJJEQUEBIyMjVFVVMTAw\nIHcvqq6uZv78+fzf//2fukTFHEOv12O323G5XDQ1NRGLxQgGgwSDQXkNIeXaQuqSuplF1ohmqlvE\njRfvcbvd+P1+tm7dSnNzM4ODg3R3d3P99ddz9OhR2trakCQJvV6PzWZj/fr1PProo/LrAH/+53/O\n73//e9ra2lJ2DCozQ39/P3v37mXevHn4/f5RqUVimYxUu9oq5446ETQDiJvgpZdeor+/n5ycHK67\n7joeeughvvOd7/Cb3/yGd999l/vvv599+/YRDAb57ne/y09/+lOWL1+OTqfjxz/+MV/96lcpKSlJ\n9+GoTJPS0lI++clPjmrIMZZgKq3MdK8SOVZxRraRNRNB57Kk7lRINAkk9ilSisxmM0ajkVAohMlk\noqioiPr6eoxGI88++yw6nY4lS5bQ0NBAQ0MDb775Jtdeey2vvPIKO3fuVMvn5gjV1dVcddVV9Pb2\nsmHDBn7wgx8QDodHLe17LqI5E9ZptljA6kRQipno6Stmy3NycgiHw4RCIaLRKPPnz2fx4sV0dHTQ\n39/Pt771Le677z5ef/11Vq5cSXNzMz/84Q9ZtGgRZWVlqms+R+js7OT5559HkiSamprk1+ObcWSD\nOM1GVNFMApOxYKPRKJ2dnXKdeSwW47XXXsNsNmOxWDh48CAOhwOr1crChQtpaWnB4XDQ3t6ulkrO\nMYqKirjppps4fvw4vb29coaFyIUU1mS8VamKaGaQNTHN+BX/0oUI+Itu3bFYjLvvvpsXX3yRkydP\nEgqF6OjoYO/evSxdupQLL7ww3UNWSTIdHR1s374dr9crN2oRE4E5OTkJQz2iaUa6UWOaWWZpRqPR\njFhkLRaLIUkSOTk5RKNR2tvbCQQC6HQ6jh49ytatW7Hb7TQ0NKiJ7HMUi8XCsmXL5PQil8vF4sWL\nGRoayojmw2ORaMnhbGNCS/Pee++lpKSEZcuWya/19/dz5ZVXsmjRIq666ioGBwflvz3yyCMsXLiQ\nuro6Xn755dSMehaj0WjQ6/VUVlZSUlLCpz71KZYvX87999/PHXfcQSAQ4PTp07z22mvs3buX+vr6\ndA9ZJQWEw2GGh4fp7+/HZrNx6aWXsnz5cvlvKpnLhKJ5zz33sGvXrlGvPfroo1x55ZUcO3aMTZs2\n8eijjwLQ2NjIM888Q2NjI7t27eILX/hCRrgUmYROp6OoqAir1YrT6aSyspKnnnoKj8dDX18flZWV\nHDt2jPfeey/dQ1VJIZ2dnfzqV7/if//3fwmHw1RXV+NyuRgeHk5oxWWzZZdpTCia69evJz8/f9Rr\nzz33HFu3bgVg69at/O53vwNg586d3H777ej1empqaliwYAH79+9PwbDPjVTEhSZqlJDoYnc6nXJK\nw4IFCxgeHubgwYM88cQTPPXUU7z//vucd955SR2nSuYyMjLCkSNHOHr0KCMjI0QikbOuU9X4yBzO\nKabZ3d0tJ1mXlJTIazN3dHRwySWXyO9zOp0ZVwKY7Cf2eIFxEftRvicWi8nhjGg0ygsvvMDSpUuZ\nN28eLpeL3bt3k5OTw6pVqzh8+HBSx6qSeRQWFuL1ejly5AiDg4NyH01VJDOXac+eT9Qyaqy/ibWc\nla38swEx8VNbW8vNN9/MgQMHcDqdFBcXywn/jY2NNDY28rWvfY3rr78+zSNWSTZ5eXncfPPN3H77\n7SxevBg4U2or8nfjybSihrlYGSRyqcXPeJyTaJaUlNDV1QWcic04HA4AKioqaG1tld/X1tZGRUVF\nwm2INb9F3mK2oNFoCIfDfPDBBzz00EM4HA5KSkr4+7//e9rb2/n617/O4OAgfr+fd999l7fffjvd\nQ1ZJMjqdjnA4TGtrKx6PB51Ox4IFC8jNzU34/kyLZ841wQTkqj3xM+57z2UHN954I08++SQATz75\nJJs3b5Zf3759O8FgkKamJo4fP86aNWvOZRcpI935bjqdjuuvv54LLriAxx9/nNLSUp5++mk2b97M\n4cOHeeqpp1i4cCGLFi3C4XDQ19eXtrGqpIZIJMLQ0BD9/f2MjIzQ3d3N0aNHGRgYSHt9ucrETCia\nt99+O2vXruXo0aNUVlby85//nK997Wv84Q9/YNGiRbz66qt87WtfA2Dp0qXccsstLF26lGuvvZYf\n/vCHc/KpNBXi41N//dd/jcViIRAI8Nhjj/Haa6/R1dWF3W5n586dNDc3s3r1ajZs2MDTTz+dxpGr\npAqRbgRnrDaxJpCaajQ7yJqGHUpE2VoyEGuUT2Z/Wq0WvV6P0WjEZDLJy1yYzWY6Ojq49dZbWbly\nJffff3/GJjerTA+Hw8E//uM/0tDQwHvvvYfP55MbUotKMeUtORUhnclmGnO9ccd4DTuyUjST2fFo\nKqKpfL/4V5Ik8vPzefjhh9mzZw82m428vDy++MUvJmV8KpmHJEk4nU6WL1+O3+/n8OHDsjiqopkZ\nqOuex5HOuKb4IsRFFw6HCQQCFBcX884775CTk6MK5hxFo9GQn5/P+vXr2bx5MwcPHsTlcsnX4lwX\norlCVopmOolGo6OEE6C1tZWf/OQn/Nmf/RkDAwPpHJ5KCpEkiU2bNnHHHXewd+9e9Ho9PT09Y9Zy\nqwKamWSley7GkIx8s6m65/GfkSQJnU6HxWLBZDLR0NAwrfGoZC7V1dUUFRURiUQwmUx0dnbKuZmJ\nEtqnOjGkuufJQ3XPE5DOTi3K/Yrgv8lkYvPmzdjtdmw2m5z7qjJ3KC8vx2az4fF46OjokCd/sr1r\n0Gwjq1rDZQrRaFSupIpGo2i1WtxuN6+//jqFhYVIkkRpaSkulyvdQ1VJAmvXrmV4eJjTp0+zcOFC\neWkLYVmqojm7yGrRTFQbPhMkCgsEg0FOnz4tJzefPn16RsekkjoWLlxIV1cXWq2W1tbWsyzM2SiY\n8UtzZBNZG9MUTCYmOZ3Px8dOlfFN8a8kSXL6kV6vl4V8aGiIzs7Ocx6bSmZQUVGB3W4nEAjIy/WK\nScDxmnNkckwT5nbfTzWmmUaUDU3iBVMku+t0OpxOJ1/84hcZHh7GZDLR19eHx+NJ59BVpslVV13F\n+eefj0ajkdc3T3cZr8r0yWr3HJBjiql20eMFU9kcQNQiP/nkk7hcLoaGhhgZGUnpeFRSS11dnfyd\nG41GgsHgrHbHVT4i6y3N6V7Ak7UaxM2j1+uRJImCggIuuOACHn74YXJzczGbzYyMjBAKhVTBnOUs\nXryY3NxcTp8+LTcVFteZ8npRrc7ZSdaL5nQZT3RFPFOr1ZKTk0NRURE5OTnk5uZy9dVX82//9m9s\n376d2tpabrzxRk6dOjWDI1dJBeXl5RgMBoaGhmTrUtm1SLUyZz9Z757DmQD6dCeEJiIQCODz+Sgo\nKCAWi9HV1UV7ezsvvPACb7/9NpdeeqnapGOWsnr1ajZt2sTu3bsJBAJyOpGwMFWhnFuolmaaETPl\n6o01exEP22xvg5gtZH3KEUw/7WisTs+im5FWqyU3N5e8vDy8Xi86nY5PfOITfO5zn+OrX/0qOp2O\nlStX8s1vflO1Nmc55eXlFBYWEgwGiUQiRCIRwuGw/FBUpulM1HBYTTlKH2pruAmYjmhO1GZOxDQl\nScJoNMrVQIWFhVRXV3PHHXfwyCOPIEkSbrebo0ePnuthqGQIdXV15ObmMjIygt/vl9efgdHCpopm\n5qKK5jhMt3HHRIKrbEA8XsqR2WxGr9fzwQcfYDQa1Rn0Wc6SJUuoqqqio6MDj8dDKBSS45tKoVST\n2zMTNbl9HGZqZT3lzSEsj2AwKFeI5OXlcd999+FwOJg/fz7FxcXYbLaUj0slNRw5cgQ4Y00Gg0H0\ner1c6KDGPmc3WW9pZmIZpcDtdtPR0XHOY1PJDMrLy8nPz1fLKGcRqqU5BjPxxI9POYm3OON7KQaD\nQbmbuyqYc4Mrr7wSp9OJ1WrFYDCMeojOVsszm5Pys14003HBKru3CwwGA5WVlfLEUlVV1YyPSyU1\nnDhxgs7OTnp7e3E6nUiSJAvnbBXNbE6Ry2rRTBfx7jqAzWZj48aN9PX10dnZKcfEVGY/b775Ju+9\n9x5VVVVyGEakosHstTazlayNaWbichdms5l33nlnWuNRyVxqamooLCxUl7uYBagxzQRk0tN9YGCA\ndevWce+99/L1r3893cNRSRFtbW3U1tbyhS98gWAwKD9Mx3LTk7XMtEpyyVrRTBdK61bcFE6nk/vu\nu4+dO3dSUFCQzuGppJBIJMLu3bvZvn0769evJxQKUVxcPOYDPFMe6iqjyUrRFK55uvYNH7noolKo\nr6+PFStWMDIywn/+53+mZWwqqSUWizEwMMDevXt57rnnWLVqFQ6HQ74WU900RiU5ZK1opgNRCWSx\nWMjLy5NzMgOBAHfeeSdut5vi4mIefPDBtIxPJfU4HA6+/e1v87GPfYzOzk7a29vPinmrZDZZORGU\nzIt0KhNBWq2Wv/mbv8HlctHe3s7p06fp7+9Hp9Nx0003sXbtWq699lpuu+02Lr74Yh544IFxa5NV\nZidWq5XFixfLye4iN1dMBMVPskx2QkidCEoe6kRQGokX6O9+97v4fD5MJhMPPfQQV1xxBSUlJQwN\nDXH99ddTXV3NwYMH2bNnD3feeWcaR66SKiRJwmazyYUPer0es9k8Zrcslcwi60QznfFMOPOEfv75\n5zl06BBf/vKX6erq4s4772THjh2cf/75fOYzn+HYsWMcO3aM7u5udWJoDqLT6cjLyyM/P5+cnBxK\nSkpYvHgx+fn5E3bNUkk/WSea6SYWiyFJEueffz6PPvooLpeL7u5u/vVf/5WKigoefvhh7HY7RqOR\nVatWcdlll6V7yCpJJhKJoNfrqa6uJicnh0gkwokTJ3C73Qnfn2mTQ3PZLZ8MWRfTTPaTfLKt4cT/\n9Xo98+bNQ6PRUFVVRXFxMeFwmNraWn7/+9/zyiuvsHbtWhYsWMAvf/nLpI1TJTMpLCxkwYIFhMNh\nBgcH8fv9cuNiJZOJa85UnHGuxzNBjWmOItlP7YkWVovfn0ajIT8/X87X/OQnP8nhw4c5cOAAb7zx\nBsuWLaOgoICDBw8mdZwqmUlfXx8Wi4WlS5eyYMEC+dpQZ9Mzl6yKPKcininWTR9vn/G0tbXJ+XnH\njh3DZrOxatUqioqKcDqdDA0N8cILLyR1nCqZS05ODnV1deTn5zM8PMzQ0NBZZZVarTarOwtlElkl\nmplAJBKht7cXq9VKW1sb7e3t3HHHHQwMDFBcXExbWxsXXnghy5Yt4/3330/3cFVSRGlpKZs2bZKX\nwzh9+jSVlZVYrVa1OijDUUVzhonFYoRCIVpbW8nJyeHXv/41N998M7/5zW+IRqN84hOfoLq6miuu\nuIL8/Hy8Xi/19fXpHrZKkjEYDOTl5ZGTk8PJkyc5efIkAwMDcpVYMBhM9xBVxiCrRDNT4kQajYZw\nOMzIyAhWq5WysjIMBgMej4e6ujqefPJJ9u3bx8c//nH6+/tV0ZyDeDwe3nvvPfx+v5zk/u6772Iw\nGDJ6RdJEvWCzjcxQkRkgU7oaiSC/TqeTZ97/53/+h2uvvZZ58+ah1+spLS1l3bp1NDY2qhNCc5Cy\nsjJuvfVWLBYL0WiUQCBAOBwmFAoxPDyccKY83fnFgmwXTJiEaN57772UlJSwbNky+bVvfOMbOJ1O\nVq5cycqVK3nxxRflvz3yyCMsXLiQuro6Xn755dSMOsOYTKmjVqultLSU/Px8eRXKjRs3sm7dOoqL\ni1m9ejU9PT14PB5OnDhBTU0NLpcLSZK46aabcDqdM3AkKjNBX18fv/3tbzly5MioXppinXRBfGpc\nJjz0VSYhmvfccw+7du0a9ZpGo+ErX/kKDQ0NNDQ0cO211wLQ2NjIM888Q2NjI7t27eILX/hCVsz4\nTfT0FY06PB6PXDZnsVg4deoUTz31FH/6058oKCjg29/+Nlu2bOGzn/0sOp2OmpoaPv/5z6PRaOjq\n6pqho1FJNaWlpXziE59g9erV3HXXXfLr8deRKpKZyYSiuX79evLz8896PZFQ7Ny5k9tvvx29Xk9N\nTQ0LFixg//79yRnpHGDx4sVcdNFFXHPNNfz5n/8577zzDsPDw/T09PCFL3wBq9XKDTfcQCwW44Yb\nbuBv//Zveemll9i5cyfhcJhvf/vblJSUpPswVKaJ6Nbe09PDtm3b1LzMWcY5TwR973vf45e//CWr\nV6/m8ccfx26309HRwSWXXCK/x+l00t7enpSBznZ0Oh1XX301zc3NDA0N8eKLL/LII49w7Ngx2tra\n0Ol0fOc732HNmjUYDAa++MUv0traKleI/MVf/AWPP/443d3d6T4UlWnS1dXF7373O+bPn4/f7wc+\nqhYLhULodDq56kaSJDnGKarZ0tX5Sp0EOsM5Pd4+//nP09TUxLvvvktZWRkPPPDAmO8dy8UIh8Py\nz0y48KlugjDexZSXl4fD4eD3v/89b775Jvv37+fUqVN85zvfYd++fRw9ehSfz4fX62V4eJi9e/dS\nVVXFxo0b5RvkiSeeoK2tLaXHoDIzFBQUcPnll2MwGLBarRQUFGCz2TCbzRgMBvR6PSaTKSlrWKlM\njmg0OkqTxuOcLE2HwyH//7Of/Sw33HADABUVFbS2tsp/a2tro6KiIvGO51gbrEgkMuYxDQ0NMTIy\nQjgclmOaPp+PcDhMR0cHer2e06dPc+GFF+J2u+nt7aWlpYX29naGhoYoKCjA4/Gg0WgIBALq036W\nEwqFGBoaQpIkampqZAuzuLiYd955h97eXioqKmhqakKj0Yw5o66SPOJDJOOd73NSrs7OTsrKygD4\n7W9/K8+s33jjjdxxxx185Stfob29nePHj7NmzZpz2cWcIBaLjbKiXS4XJpNJfqoJK0Kj0eD3+2lq\nasJisZCbm0tpaSlOpxO/309xcTG7d+/G4XBw4MABvF5vug5JJQm43W5effVV+ffly5ezYsUKzj//\nfE6ePElrayvHjh1L2LhDJf1MKJq33347e/bsobe3l8rKSr75zW/y+uuv8+6776LRaKitreWJJ54A\nYOnSpdxyyy0sXboUSZL44Q9/mPXuhWg0K8TT6/WetU6QVqvFZrNxxRVX8P7779Pf38/y5cvp7+/H\nbrfT0tJCNBrluuuuo6WlheLiYurr67n88ss5dOgQAwMD6TxElWly6NAhAoEAR48eZXBwEBjdSWgy\n4StxnaWKVG9/NjGhaG7btu2s1+69994x3/93f/d3/N3f/d30RjVLSdS8Q1xsGo1GvviV79FqtZjN\nZjQaDc3NzTgcDrq6uuS1hAKBALt372bhwoVEIhE5HtbU1CSLqCqas5++vj5MJtOo2LuIZ09GNFM9\nL5x7p9sAACAASURBVKCK5kdkRZ7DTKVzjHXhxl9wyoRm8RMOh6msrKS0tJSRkRFOnDhBa2sr+/fv\nJxQKYbFY2L59O/39/ezYsQOHw8GTTz5JU1PTjBybyvQxGo3ceuutCf/W09ODVqslJycHSZLUNKQM\nJiu+lXRffGM9pYVgDg0N4fF48Hq9mEwmysvLaWlpobu7m1gshsVi4e2336a/v1/+TF5eXtqPS2Vq\nSJLE+vXrx/y7KK8Vawap329mon4rM8REwjk8PMyzzz7Liy++yPHjx/F4PHR1ddHe3i7PnkYiEaLR\nKIsXL6atrY2+vj5uuummNByNyrkQDofZt2/fmH9vamoiGAySn5/PwoULMRqNGWFxqq75aFTRTDLj\nuehjJQcLMfT5fDQ2NsqpJv39/XR2dsptwsTFK5b9/eIXv8g111yT0uNRSR7f/OY3GRkZ4corr0z4\n976+Ps4//3w2bNhAZWUlfX196PV6VTQzjLmVLJkBjNfJfawLLxaLEYlE5GoPkWYSjUbRaDTyRJKg\np6eHnJwcfvOb36iNPGYRO3bsIC8vD7/fj8PhoLy8XM5Kqaurw+fzMTw8jN/vp7e3F5vNNup7j09h\nU0kPqqU5w4xlbcZiMYLB4KjJIfF6PJFIBK1Wy8mTJ9myZUvKx6ySHAoKCvD5fHg8HiorK7n44ou5\n9957cTgcNDc309rayqlTp2hubgZAr9efVTI50xafKtRno4rmDCOsSuXFL0q3JusGxWIxRkZGyMnJ\n4f7776esrIyrr746lcNWSQJLlizB7/cTCoUIhUIcPXqUrq4uuYtVf38/Pp+Pyy67jH/6p3+SyyrT\nieqWn01WLOE70yWb57q/8ZYXVi4VLPpxiuqi48ePo9Vq09bIQWVibr/9dioqKvjDH/5AIBAARhc+\niJCMTqfDarWSl5dHV1eXXG4rHqpjfcepWlY3foG3bEFdwneGmQnx0uv1VFRUUF5eTmlpKVu2bKGu\nrk7+u0aj4dprr6W8vDzlY1EZn69+9au43W7efvttWShFp/ZgMDiqVDISieDxePB4PFit1kkJpsrM\nMudFc66WcVqtVhwOB+FwmJqaGnw+H5/73OcwGAxotVrmzZvHO++8ozYvzgD+/d//nUWLFnH33Xfz\nZ3/2Z8BHscL47jpKgezr60ure6zGMxMz52fPU90SbqYQs+tiNn14eJje3l7cbjd1dXXMnz+fcDjM\n2rVr+fDDD6moqMBisbBv3z61zDIDsNls/OpXv5K7VYk0s0QTfoFAAK/Xq1qXGcqctzTTRSothEgk\nQiAQ4NixY1itVtatW0drayuNjY1yyWV/fz9/+tOfVMFMI0VFRUiSxMqVK/nnf/5nnE4nw8PDBIPB\nUVacWBtI+RMvmOkQT3USKDGqaKaAVLk1yotY3FQdHR1s27aNwsJCua1YLBYjEAhgNBrlypKNGzfO\n2VBFJuJ0OtmwYQMVFRV86Utfoqamhk984hNotdpRaWeJUtAywcJUXfOxmfPu+VxCJLsL906r1RKL\nxWhra5ObP4vXIpEI8+fPx+FwoNVq2bBhA2+88Ubab8ZsoaysDI1GQ1VVFb/4xS9YuXIl3d3dcnhF\niGW8MCUSTFW8MgvV0pzFiGVflbOvylxPn8/H4cOH0Wg07Nmzh9LS0nQNNeuQJAmNRkMwGKS3t5fm\n5mZcLpecyjKWYCYSyHSIpuqaj41qac4xxA0Zi8Xo7OyktLQUi8WCw+FgeHgYjUajrjWUQjZs2CB3\nM3rvvffw+XwEAgECgQA7duyQJ4Dg7HBLpixcprrm46NamnOUWCyG1WrF6/Wi0+l4//338fv93Hff\nfcCZ2dwLLrggzaOcWyxdupS77rqLNWvWcPjwYbq6uuTlesPhMIFAYNI9VwWTbUCcTLFVBXN8VNFM\nEel8Wivdv2AwSEdHh7zqZ2trKw899BBOp3NGq7Kygb6+Prq7u/F6vZw8eRK3233WkhVj9R0YS/Qm\nu9RFMskEazeTUd3zFDLViy9ZLcDEZFGi/b/zzjtUVVVhMBgYGhpKyv6ynSVLlnDppZdy+PBh/vjH\nPxIMBqc04aa2XptdqJZmhiCE7lw+N57Yxq+dHQgEOHXqFNFolOXLl/PII4+opZbTJBAIEAqFKCgo\nkOOXRqMRvV4v9wkQRRaZXmyhZldMjCqac4DxxDb+b0qLprm5mZdeeomqqirWrVsnL8usMjnKysp4\n7LHHWL9+PeFwmAceeACbzUYsFmPJkiXY7XZZOMW/Vqt10p2L1IT2zGTOdzma6Q5HSsbrWnSu71V2\nO4Kzj0+5PILyveL/IhVG+bter0ev16PT6WhsbFTr1SeJRqNBr9fLcUdJkgiFQsRiMbRaLatWraKi\nogKz2YzL5aKtrU1u1KEsoxyrk9Bk1zxPVocjdY31j1C7HM0R4gUznkSCqdPpZKEU4mg2m9Hr9RiN\nRnkdGjgjAqtWreKWW27hxz/+seq2T4BoHC0abfj9flkMw+EwNpuNTZs20dTUJD+IlDei+C4zYR0g\nlcmjflMZwrnEupRWZrxg5uTkkJeXh8lkorCwkJKSEmpqali8eDE/+9nPCAaDSJLE5s2b5adqd3c3\nWq0Wr9fLrl272LRpE/n5+eTm5ibtOLOJ3bt38+yzzxKNRtHr9XLceioeyERkSm5nNqHOns8SErnl\nwr0WvxsMBlkMc3NzCYVC1NTUcPfdd+Pz+Xj++ecpKyujoaGBQ4cOAfDHP/5x1H4++OCDUb/fc889\nFBQU8Pjjj6f4COcmJpOJYDDIvHnzaGpqwmQyyR2MxPeZCZMvqms+eVRLcxYQ75ILa0Wv12O1WtHr\n9TgcDlauXInT6aSsrAy9Xk9XVxfr1q1j9+7dbN26ldLSUoqLi/nMZz4z6X3//Oc/VwUTKC4uPifr\nsLKykpaWFk6fPo3RaKS6uhqz2YzZbJYfhMLy1Ol0aXHVVUt1asz5iaCJ4oCpZLJu2HjvEylF4hjE\ne/V6PatXryYUCtHS0kJ+fj7z58+noKAAt9tNV1cXWq0Wj8fDG2+8gcfjSeqxZQuFhYUYjUZuueUW\nfv7zn085t/XrX/86Pp+PAwcO4HK55MXzlAUI8begRqMhFAqh0WjkooREuZzJKr1M1VIZs5nxJoLm\nvHseiUTSOoM+GRIJpjL+FS+YcCaGuWzZMnp7exkaGsLhcNDa2kp9fT0ulwu9Xk9dXR319fWqYE6R\nRYsWsXr1ak6dOoXJZCIvL4+LLrqIp556asrbcrlcLF26lBMnTtDb2yuLnHDJEwmfVqtFr9fLrnw4\nHJb7bCpJRlK8mlg/dTJbTbKUeOtSvKYUzFgsxrZt2ygpKSEWizE4OIhOp8PlctHe3g4gLwWbajZt\n2kRzczMnT56ckf2lmtz/1963B0dV3u8/ezt73+yySTZXQwhBcyMJl0TkGxFFrKIRixdoBaw6nelM\ntY5t6TiOrdNWAWfaDjr9wxst005FRhTSKTjYEQQtDogBNJGEQC6be7K72ezt7NnL+f3B73092ewm\nu7lsNnCemZ0kZ/ec9/O+OefZz/u5GgxYtGgR5HI5uru7YTab8emnn8Lr9SZ0ndzcXDQ3N+PcuXPw\n+XwAQLfgPp8vpqZIwo8IYc6ms0fMM08cImmmGGIRJrFzSaVSqjmHw2HYbDYaNpSXl4fc3FxKmsmU\n+XopcFxdXY0NGzbgq6++QldXF3Q6HXiex7///e+ENXayvRa+gO893kIyjNT4hLGbs9URUvS8Tw2i\nI2iOITT6xyJMkoZHPORarRZKpXJMZsmCBQtQXFwMtVqdVPkB4L///S/a2toAAP/3f/8HpVKZdBmm\nA5VKhZUrV6KgoABFRUVYuXIldDodGIZBIBCAy+XCCy+8AJPJlNB1u7u7sX79etpqORwOIxAIgGXZ\ncXbNaC8gNmHO1NZcROIQSXOOISTNaA4fknqn0+mg1+uRn5+P/Px8LFiwACUlJVCpVNDpdPD5fPjw\nww9x6dKluZoKAODZZ5/Fhg0bcOedd0KlUuHPf/7znMoTD5RKJUpLS5GdnY3+/n68+eabuHTpEgKB\nAILBIJxOJx588EHodLqEr52TkzPGph6pWRJSjEZgwtqbkZguaYpa5tQhkmaKQFjYgdi9hBkjZWVl\nMJvNWLt2LQoKCvDiiy+ioqICVqsVer0eHMfh/PnzGBgYmNN5vPbaazh79izS09NRW1sLh8OBffv2\nYffu3XMqVyRWrlxJfw+FQuju7obL5UJOTg6uXr0KjuNoLczR0VE8+eSTGBwcTGiMN954A52dnQiF\nQkhLS6PHhUQYi7hm26MtEubUcd2HHAFzl38+WciRMBxKrVbTJmidnZ3w+/3UBqZQKGAwGBAOh5GV\nlQWTyYTz58/D6XRCJpPhtddew4kTJ/Dmm28mZV6T4Ve/+hUef/xxvPTSSwiFQrBYLBgeHkZTUxMs\nFgtOnz6dNFlWr16NsrIy9PX1wePx4KuvvkJeXh7S09Nx8uRJMAyD9evXo7+/HxzHQa1WY2RkBOFw\nGFKpFFqtFjk5OVi0aBGuXLmCHTt2YM2aNXGNvXjxYlRXV0OpVKK5uRl2u53mnU/UPG0ywpxu47XZ\nspFeT5go5EgkzVnEZKQplEuhUECj0UCtVkMul4PjOHAcB41Gg9zcXADXNE6dTgedTod3332XXsNo\nNIJlWbjd7tmdUJwwGo3QaDR45pln8OmnnyIYDILjOEilUlRXV6OgoABNTU345JNPYLVa8cgjj+DY\nsWP4/e9/j1/84hdTHlev1+OBBx7Av/71L3pMpVKBYRhs27YNbrebtjmWy+WorKyEUqmE0+nE+fPn\naWiP8JGQy+XQaDRYtWoVuru7ce7cubjahWzevBm1tbU4duwYbDYbVq9ejYaGBpqfHov44tEwp0t6\nImlODrFgxzxBIBCATCZDRkYGlEol5HI5QqEQZDIZLl68CJfLhaqqKrz//vv0nGAwiOHh4ZQhTAAY\nGRnBE088gR//+MeorKykDeA4jsOXX36JgwcPwufzYceOHXjmmWcgkUhwxx134MUXXwRwjeh++MMf\nTjjGrl27UFhYiP3792PLli2or6/HqlWrcODAgTGfY1kWo6OjuHLlCgoKClBXVweFQkEDzj0eD3p6\nesCyLAKBALVjklCfYDBIEwQeeOABDA0NQaFQYMeOHTFlW7t2LTiOw8GDBzEwMACXy4Vjx45FjbUU\nIh7CnG5HAJEwp48bIuQoGAymXIC7UAMlspGtutvthkajgVwuh8lkgtfrRX5+Pn2oyLnEsx4IBJI/\ngUkglUpRXFyM+++/H0VFRWhqaqKaHMdxcDgc+OijjzA6OgqGYVBeXg6pVAqVSoXNmzfj8OHDuPPO\nO7F06VJkZGTgxRdfpOYMnufxwQcfwGaz4Z133sFtt92GEydO4PPPP49KCE888QQyMjJw7tw52O12\n+Hw+Soyff/55TK1P6KTR6/V455138Ic//AE/+MEPMDAwgMLCQrAsC5PJhIaGBnz44YcArhGbz+ej\nLyERi5j/mJBJrFYrtm3bhsHBQUgkEvz0pz/Fs88+C7vdjsceewydnZ1YuHAhDhw4AKPRCADYuXMn\n9u7dC5lMhtdffx3r169PykRSDYlUsgkGg1AoFNSTPjo6ioKCApjNZvj9fgwNDcHr9UIikaCvrw+n\nTp1CTU0NjEYjduzYgeeff342pzIlrFy5Es8++yyKi4upV9rhcMDj8SAcDo/Z4pKwHmJjfP7553Hs\n2DE899xz6OzsRGdnJ7RaLTZu3IicnBx4vV709PRAJpNheHgY//nPf8AwDNauXYuzZ89idHSUXpt4\nxjmOg9/vh9lspmE/PM9TIoskzsgccK/XC4Zh8Lvf/Q4nTpzA6OgoNBoNsrOzcfHiRTQ2NtLPnj59\nGqtXr4ZSqYTL5YqLLOPVMkVb5txjQptmf38/+vv7UVVVBbfbjeXLl+PQoUP429/+hvT0dOzYsQO7\nd++Gw+HArl270NzcjB/96Ec4e/Ysenp6sG7dOrS2to4rQJBsmyaQfLtmIk4gAGAYBnq9HgaDAR6P\nB+np6TCZTOjs7ATLsgC+dwgZDAYwDAO1Wo39+/fP+lymgtLSUtx2223w+/2QSCS47bbb0N7ejk8+\n+YT20CG3nkwmQ21tLS5cuACWZamJwuFwQKfTgWVZ1NTUYNWqVWhoaADP87jrrrvQ0NCAzs5O8DwP\ng8GAgYEBPP300/jLX/6CoaEhANda6hYWFqKzsxOBQACtra14+OGH8b///Y/mkU9ERiSlceHChZBI\nJAiHw0hLS0NPTw/8fj9UKhVCoRCuXr0Kr9cLuVyOdevWIRgMYmhoCCMjI+A4jhI0GUs4ZrxkNh3S\nmy7h3miYsk0zKysLVVVVAACdToeSkhL09PSgoaEB27dvBwBs374dhw4dAgAcPnwYW7ZsoTfZ4sWL\ncebMmZmcy3WBaBk0pKCty+WC0+lEZ2cnnE4ndDodta+REBi73Q6r1Rp324S5wEcffQSTyYT09HRk\nZmaivb0dWq0WGRkZYwK7CZl88cUXcLvdtNVtd3c3QqEQfD4f1Go1GIbBgQMH0Nrais8++wwNDQ0A\nQO2OHMfh1ltvRU9PD+6++26oVCpkZmbC6/XCarWCZVmwLIvs7GxwHAeTyQS5XD4pmRCS4jgOOTk5\nGBkZoYU3/H4/WJZFeno67r33Xixfvhxr165FYWEhjEYjwuEwLa4iTFyYqAVJLEzXlimGGM0c4la/\nOjo60NjYiNraWgwMDMBisQAALBYLjQ3s7e3FrbfeSs/Jy8tLekpfqmCyCuuRENrBJBIJ1V6kUilk\nMhnC4TAkEgncbjcMBgPOnDmTUs6fSFy6dAnV1dU4cOAA3G43SkpKcPHiRXAcB6PRCJvNNi6NMBKE\nkLKzszEwMIBwOAyfzwez2Qyv10v7igPXts82mw05OTk4f/486urqkJaWRu2nIyMjkEgkGBwcpGup\nVqvHaH6x4Pf70dnZib6+PoTDYWpiICRms9ngcrlojyWv14vy8nKMjo7C4XAgFAphZGQEoVCIZgMR\nxBtkPh3Sm8t20tcj4iJNt9uNTZs2Yc+ePdDr9WPemyzvONZ7QjtPMmoICou+zjYm6xAZDdHkE2pj\nZI1GR0fpmi9evBitra0zKfqMgWjIHMdhdHQU+fn5dDuclpaGzz77jBatmOih7uvrg81mg9vtHvMZ\nYY8d4NqaMwyDS5cu4bHHHoPdbsfp06dhs9nGFL4wmUx0XLlcDovFgo6OjglJRSqVUo1WKpXS8Cni\nlPL5fAiFQmhqaqJhYVevXoVer4fJZKKB8uSn3+8f87+dDNO1RYpa5uRIZI0nJc1AIIBNmzZh69at\n2LhxI4Br2mV/fz+ysrLQ19eHzMxMANequlitVnpud3c3jTEcN3CSbYxkq5SqiCafkFDS09OppvXt\nt98iHA7jyJEjcyTtxLjjjjtw8OBB/PznP4fRaITBYKBxpIT8hEVHYj3UJAQoGkgFJ/LlFA6HodFo\ncPPNN6Ovrw8qlQpKpRJ6vR5ut3tM7x4h4rHzxXqYiN2a4zhaAYkQLMdxkEgkGBgYoHZdiUQCk8lE\nNVUgPkITQ4xmH5GK20TOuwnVIZ7n8dRTT6G0tBTPPfccPV5fX499+/YBAPbt20fJtL6+Hvv37wfH\ncWhvb8fly5dRU1MzrcnMR0ymeSeq8ZKHU6VSYcWKFSlN/tu2bYNOp6Pmg1AoBKfTiZ6eHuTk5NBA\nciFxEMQqXBHPi3R55DgOPp8PHo8HXq8Xfr9/XOdHEv7DcVzCnTeF1yFbexJKJXxPp9NRxxHHcfB4\nPPB4POO25/GMN1WI2/LZwYTe888//xy33347li5dSh/0nTt3oqamBo8++ii6urrGhRy9+uqr2Lt3\nL+RyOfbs2YN77rln/KBz4D2fyWZWk2EiLTpWJXlhW12hw4CUgiNdJNPT09He3k6rCqUa7rnnHlRU\nVOCzzz5DTk4OVq5ciePHj6OoqAirVq1CU1MTdDodLly4gObmZvj9fgCTa0SRW9nILx+pVAqGYZCe\nno7y8nJ88803cDqdY7pFEkynCEZkgRXyk/yviOPHbDYDAIaHh8GyLPWck0D/eKquT1dLFCuyTx03\nfBolQbL6r0yXNIXkSYp3kIpHcrkcpaWlWLZsGS5cuIB//vOfszmVhPDb3/4WLpcL33zzDXJzc3Hx\n4kUsW7YMly9fRm5uLlatWoWenh74fD5YrVacO3cOBQUFGBoaiurUitSUIkmTgHwZMgyDrKws5OXl\noaWlBVKplDp+JrrNhVv0yR4HYR95AnJfSaVSKJVKqNVqaLVaeL1euFwuStxkLELOk3ntp6slisH0\nU8cN3e5CiGR8P0xVmxX2HifXICQJXAvSJu/Z7Xa0t7cntfBFPNBoNJBKpcjMzITP58O9994Lq9UK\nv9+Pvr4+fPnllzCbzcjNzaUecI7jUFhYiJaWFnAcN+Z6E5Gd8Dghn2AwiIGBAQwPD48r+BuJRIgy\n2rgkvZWMIXx/cHAQLMvSCBPhmJM5vsj1pkuYYkzm7OGG0jSTsUWfzMEVTdMUdiVUKBS0AK7P50N9\nfT2ysrJw8uRJ6jkneelKpRIffPDBbE4nIWRmZuL222/HokWL0NbWBp1Oh97eXrAsC6/Xi7q6OlRX\nV+PQoUM0+Fur1UIul6O9vZ22hBD2z0kEE8U/RpLnTNz2kfeTVCqFWq2GUqmETCaj+ezBYBAymYxW\nfp9My5zutlrclk8f4vZcMO5ckmYs80Bk7/KcnByoVCqMjIzAaDTi3nvvRTgcRldXF9577z388Y9/\nhN/vR2NjI/7+97/P1lQSwltvvQUAeOWVV3DLLbcAALZu3YrBwUG899574HkeKpUKMpkMbrcbPM9T\nEgmHw+PSGqeDZGa/RPZuUqvV0Gg01CEVCARoOBlxQs0mYQLitnwmIJJmxNizRZyTaZmRpCn8vFwu\npwU4SCfCDRs2oLi4GE1NTTh48CDNklEoFAC+z4ZJBSiVSuzcuRPLly/HI488guLiYtx1112wWq00\nL1sqlUKj0SAzMxP9/f3o7e0FMJYoEp1PKmhV5J4iziiz2QyWZWlAu3BO06mjGQ9S5X6Y7xBLw6Ug\nIqscCSu3EydQV1cXLBYLWlpa0NHRQT2wpNZmKjwgxFv86KOPYnh4GG+//TZWrFiBcDiM48ePg+M4\nrFy5khJCXl4eamtrsWzZMtTW1sJgMNBrTTYfYbgQec01YQohl8uxZMkSaloBxtsWY1VTmom5iHbM\n5EDUNGcI8QTrCzXNyKrtpFkax3G0eMfjjz+O06dP04LDqYgtW7Zg9erV8Pl80Gq1cDqdtNza8PAw\njZMErs150aJFcDgcGBwcRFZWFliWBcdxNJ87GmY6QDtRjS5WxIMQZJcgzB4SjhHrC2Em55YKWvf1\nAtF7LgDxXCYj9CgWFAoF1SoJoYRCIUgkEvj9fixatAgMw0Amk1GNJVVx+PBhHDlyBPfddx8aGxux\nbt06BAIBqNVqVFdX4/Tp02PCbRiGQUVFBVpbW6nNj2EYmEwm2g4CGOulng7IdeLN8Y6GaDJE++IV\nZi9F8+5HQiTM+YkbTtMEZj5eM17tlcRbkpYVWVlZ6OjogFwuh1qthl6vh8Vioc24SktLYbfbcfz4\n8Ql7bpN0weHh4RmbUzywWCxYtWoVHR+4thbfffcdnU9fXx8cDgc9R61WY3R0FJmZmcjOzkYoFILZ\nbEZbWxvcbjc6OjpgsVhoabepIp7QnpmEsN7AZAQ9k7LFEyQvInGINs0IxFsoIV7EQ5gkpIhok06n\nEwUFBdDpdNBoNAgGg+ju7sY333xDy5i1tbUhLS0NOTk5E147PT19THWpZKGurg5r1qyBQqFAW1sb\nCgsLsXr1akilUrhcLnR1dSEcDkOhUNCHm+TRKxQKlJeXY+PGjRgeHqZZNDU1NVi+fDkWL148JZmE\nWTfJTCEkDp7JNL6Zlm2m72URk0MkzSSBECZ5aEKhEL766it4vV6MjIzA4/EgEAjQvGlSvszpdMJg\nMECj0US9rkqlQn5+PmQyGUpLS5M6p97eXgwMDIDjOLAsi7Nnz+LMmTPw+XxgWZZ6y2+66Sa63h6P\nBzabjZLblStXYLfb4Xa74ff78dBDD2FwcBDl5eUJFXUhhJxssowXwrz0mYJImHODG3J7DszcFj2R\nrbkwV5mEpwhDUMhx0vqC9M5JT0/H4cOHo3ZBNBqNuO+++xAMBsGyLC3OO13k5eVh+fLlOHLkSMxK\nQ+Xl5aisrKT1JIV1JuVyOWpqajA0NASGYXDu3DlaSo1onyaTCX6/H16vF2lpaXA6nZBIJNBqtQiH\nw7DZbLSM20RI5Uo+RK6Zlk/cls8uxO15FMzUt/RUiJd4V71eL3w+37hivMIakSzLIiMjA1qtFgBQ\nWVmJl156CRKJBGvWrMGSJUvQ3d2N7u5u9Pb2oqysbFz63lSQlZWFwsJCLFq0aMxxojnq9Xro9Xpa\n65J8AXAcR0nMbDYjHA6jp6dnnBYYCAQwOjqK0dFRGtNIWutKpVJ605JiGLHWMVUJU2iOEAnz+sIN\n5z0nIKSZrMLEsSAkXaK1arVaaDQaKJVK6nm++eabsXbtWgwPD0Oj0WD9+vXQ6XRwuVwIhUJwu91Q\nKBRYs2YNrl69io8//njKMuXk5NAWFDfddBOCwSDq6urQ0tIClmWxYsUKZGZm4ttvv8XQ0BCNBBAS\nfjgcRktLCywWy7gCwkTjdLlc9MEnFetJ6TTSMTIWUpksZ9sBJW7L5xY3rKaZCojcsstkMiiVSmg0\nGng8HoyOjsLv91M7IWmb0N7ejrq6OnR0dGBwcBAjIyO0yRfLsujv78dNN92E+vp6WiA6XvzkJz/B\nAw88AIZhqL01PT0dBQUFUCqVMJvN0Gq1YFkWdrsdfr8farUaeXl5YBiGapTANa14eHgYLS0tY8Yg\nD7xUKh1Tk5J0ifR4PGM01kiCSEXCJPOYbdlEwpx73LA2TSLHRNu/yZCIXTTaZ4WODoVCQT3lGLen\ncwAADWZJREFUQ0NDyMvLg9FoREdHBw3ZSUtLQzAYhEqlolrm4OAgjfHUarUwGo00t9tisWDZsmV4\n6623aB+naCgoKEBJSQkCgQDS0tLgcDjQ399P+8WXl5ejt7cXfr8fWVlZkMlksFqtCAQClOQtFgsu\nX75MW1qQ5noOhwMXLlxAVlZW1LUi0QRCkwTwfTB4tKIbqUQaQq1ytuUSt+XJgxjcHgPTvfniJdto\nhBmttYXb7UZ3dzcN2SE2P1LkwWaz0T5BLMvSUB7y8vl8yMjIgMlkwuDgILxeLz788MMxcZIymQyr\nV6+GXq9HR0cHmpqaqCnA4XCAYRg4nU7q/AkGg7hy5QpcLhcYhqH9vt1uN5RKJUpKSqBUKnH58mU6\nz1AohEAggPb2dixYsAC1tbVob2+n5pDItVCpVNThE40syd+ppF1OtbTcVCESZurghiZN4Pu6iMm0\nbcYaj5BNTk4OZDIZenp6aNtenucRCASo3ZPneTz00EP4xz/+gZGREXo+CZYnaX39/f3j0hN5nofd\nbkdGRgbuu+8+hMNh2rGREKaQFBwOB+RyObRaLRYuXEh7FBFyHhgYoLsHQnxEiyaFgMm4wq05OSaV\nSqHX6zEyMhKVFJJZtWgizGXWTSrMX8Q13NDbc4KpkmY858XSMoXnEZIjlXJ0Oh3VKIXtEYSfLysr\nQ2trK+2yGAqFxlUQ1+l0eOSRR9DW1ob09HTs2rUL69evR1ZWFr7++muYTCbo9Xrq3fZ4PFSrJeMR\n8pNIJDAajdRkwPM8lZfUAVUqlbDb7VRbJMQttHNGWxNSlV6r1aKrq2vMWs01YaZKemIqFGe5kSCW\nhosDUyHOqZBmNMIEvs9H12q1MJlMcLvdcDqdCTfiIj2FsrKyoNVqqZaXnZ2NrVu34q233qKFNAhR\nk1azw8PDsNlsUUmKFEeWSCRwOByUMElcqVqthkKhwODgYMy4zmjrQtZDqVTSknhXrlyhWulcEGaq\nOZpEwkw+RNKMA7NBmhMRpvB3hUIBvV4Pg8GAUCgEh8NBS79FPrzRHqBoFcQ1Gg0YhgHLstBoNLj/\n/vtx9uxZdHd3066NBAzDQCKRwOv1TqhVyeVySmRkbnK5HGazGZmZmbDb7ejq6hpHmtESAITny+Vy\npKenU7MAx3Ho6+uLi3xnAnOtzU4EkTDnBmJwexyYyW0YcXZE9v1RKpVgGIYGcMvlcmg0GqhUKpjN\nZmzbtg1qtXpcZR4SkhPrASJ2RGEPmgULFtBgc5fLhe7ubvT19YFlWfj9/jE1KT0eD9xu97halZEv\n0rqBjEnmptFooNVqY65hpHxkbuRcg8EAr9eLtrY2qNVqhEIhLFiwYEb+F9FkIS8yr1QkTKFTTERq\nQSTNGYbQNinsKEm0KYPBQLUr0oTMYDAgGAxi7969GBkZgcFggNFopFk2QiISPvTRXiSv3Wq1UscK\nCeshGqXwWsJc+Mm+NEgcotCTq1AoaNFh4qiKBaF85HperxdarRYymQxr1qxBSUkJFAoFTcWcCQjX\nRzjfVEUqa74iRO/5GIRCoWk9qJH9YoimSVpYcBwHnU4Hs9lMi1YolUr09fVRux6xYTIMA5VKhWAw\nCI7jKKHFepiEMafCmEciU1FREa5evUq37JF2u4kIM5JoyfacEOXRo0eh1Wqh1Wpptk/keUIIw4cC\ngQA6OzuhVCrR0tKC1tZW2qlSr9fD5XJNWeOaj2E6qRZaJWI8RNKMwHQKFBPCJFtxErNItt+EqIhT\nhWVZGI1Garvzer30WhzH0fPjefjJZyKJk6ChoYFusUm2T+S5MW04//+a0bRUYhvNysqC3W4Hx3Fj\nCpBEnic8X7hVJxXrGYah2UAkpZR49eOBcN7zjXzmI8nfiBBJMwKJkKYwd114DvEoq1QqcBxHtVen\n04mOjg74/X7cfvvt8Hg8uHDhAgDEdPoIt5bxyENshUKyCgaDdHsOXHM8EWKN5/pELqH2HBlzGS3l\nkZwXzWFGPkfiNOVyOVQqFYaHh1FWVgaDwUD7IqnV6glz0eczUQohEub8gEiaURAvcQoJijz4xH7J\nMAxNDyR1MkknRmLkJ3GMkWFFkXbKREDOITKRrT7DMLDZbGPmluhDGrntF6K/vz+mx1HobY92TZlM\nhpycHITDYTQ2NqK5uRmlpaU09VPojIomz3wmSgKRLOcPRNKMAqFmlQiI00cqlVKijHwYFAoFGIaB\n3W6n5EZa8pKt7kzkVwu3eizLwul00nkJNdhEIdQeyRgajQY+nw9+vz/mNSda03A4DK/XC6PRiIKC\nAni9XnR0dIxZD5lMRnsqXU9kCYjb8vkGMU5zAsTjFCKOFqI1ymQy6myJXFqS+UMKDJNGY6SBGgkF\nmmnE2hrPxHVJoRBiL53MCx/ZkZP0TAqHw9TOq1KpsHTpUpw4cQJSqRRqtRpSqRRDQ0O0e+X1ApEw\nUxNiwY4pguSlT3RMaJsjnuXIjooEhBBlMhndJgeDQeTm5sLhcMBms9HPTdWLGq0gBs9fy1snGu1M\ngczZ7XaPOTYRIjVOorHKZDIEAgH4/X4EAgF899139LNutxtms5mWvpsviHb/CJHKhDkdh+hcIhly\ni6SZICYiUmH8YbSHRRg2RAhHLpeD4zhwHEcJhASzTwWxtt1+v3/aUQETjZkIiC2YfMFoNBr4/f4x\nWiTx7pMYU51OB4/HA41Gk/JxlgQTkWaqx2KKpBkbImlOAHJjx0sawp+xtERyLVIDMxgMoqurCwzD\nQKvV0pjM6WSExCKxqWo08ciRaBoqWddgMAiHwzFm7YRmkVAoBJZlMTAwAJlMhvz8fAwNDWFoaCil\nSWcipDphipgY8++rJMmI9waPl+CENr/IFEXSL0gmk834Vnq2IUz1jOXtjnWOUPMGMCa1kWTwEJPH\npk2bUFBQMG/tmiJhzn/MmSNIhAgRIlIZKeUISkXDtwgRIkTEA3F7LkKECBEJQCRNESJEiEgASSfN\njz/+GLfccguKi4uxe/fuZA+fEBYuXIilS5eiuroaNTU1AAC73Y67774bS5Yswfr162l/nrnGk08+\nCYvFgoqKCnpsIll37tyJ4uJi3HLLLTh27NhciAwgutwvv/wy8vLyUF1djerqahw9epS+lypyW61W\nrF27FmVlZSgvL8frr78OYH6seSzZU33dWZZFbW0tqqqqUFpaihdeeAHAHKw5n0QEg0G+qKiIb29v\n5zmO4ysrK/nm5uZkipAQFi5cyNtstjHHfv3rX/O7d+/meZ7nd+3axf/mN7+ZC9HG4eTJk/zXX3/N\nl5eX02OxZG1qauIrKyt5juP49vZ2vqioiA+FQikj98svv8z/6U9/GvfZVJK7r6+Pb2xs5Hme510u\nF79kyRK+ubl5Xqx5LNnnw7p7PB6e53k+EAjwtbW1/KlTp5K+5knVNM+cOYPFixdj4cKFUCgU2Lx5\nMw4fPpxMERIGH+G0amhowPbt2wEA27dvx6FDh+ZCrHGoq6uDyWQacyyWrIcPH8aWLVtob/LFixfj\nzJkzSZcZiC43EN1ZmEpyZ2VloaqqCgCg0+lQUlKCnp6eebHmsWQHUn/dNRoNANAShCaTKelrnlTS\n7OnpQX5+Pv07Ly+P/rNSERKJBOvWrcOKFSvw9ttvAwAGBgZgsVgAABaLhVbiSUXEkrW3txd5eXn0\nc6n4f3jjjTdQWVmJp556im63UlXujo4ONDY2ora2dt6tOZH91ltvBZD66x4Oh1FVVQWLxUJNDMle\n86SS5nyLz/ziiy/Q2NiIo0eP4q9//StOnTo15v1YBXZTEZPJmkrz+NnPfob29nacP38e2dnZ+OUv\nfxnzs3Mtt9vtxqZNm7Bnzx7o9fox76X6mrvdbjz88MPYs2cPdDrdvFh3qVSK8+fPo7u7GydPnsTx\n48fHyTXba55U0szNzYXVaqV/W63WMd8EqYbs7GwAQEZGBh566CGcOXMGFosF/f39AIC+vj5kZmbO\npYgTIpaskf+H7u5u5ObmzomM0ZCZmUlv/qeffppuqVJN7kAggE2bNmHr1q3YuHEjgPmz5kT2xx9/\nnMo+X9YdANLS0rBhwwacO3cu6WueVNJcsWIFLl++TGslvv/++6ivr0+mCHHD6/XC5XIBADweD44d\nO4aKigrU19dj3759AIB9+/bRGy4VEUvW+vp67N+/HxzHob29HZcvX6bRAamAvr4++vtHH31EPeup\nJDfP83jqqadQWlqK5557jh6fD2seS/ZUX/fh4WFqMvD5fPjkk09QXV2d/DWftispQRw5coRfsmQJ\nX1RUxL/66qvJHj5uXL16la+srOQrKyv5srIyKqvNZuPvuusuvri4mL/77rt5h8Mxx5Jew+bNm/ns\n7GxeoVDweXl5/N69eyeU9ZVXXuGLior4m2++mf/4449TRu53332X37p1K19RUcEvXbqUf/DBB/n+\n/v6Uk/vUqVO8RCLhKysr+aqqKr6qqoo/evTovFjzaLIfOXIk5df94sWLfHV1NV9ZWclXVFTwr732\nGs/zEz+TsyH3nOSeixAhQsR8hZgRJEKECBEJQCRNESJEiEgAImmKECFCRAIQSVOECBEiEoBImiJE\niBCRAETSFCFChIgE8P8AiI+fzR5/T0UAAAAASUVORK5CYII=\n" } ], "prompt_number": 113 }, { "cell_type": "code", "collapsed": false, "input": [ "Mn2_01i = mandelbrot(-2.2 + 1.2j, 1.0 - 1.2j, 320, 64, func=lambda z, c: z**(2 + 0.1j) + c)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 118 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(Mn2_01i)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 119, "text": [ "" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 119 }, { "cell_type": "code", "collapsed": false, "input": [ "(3 + 2j)**(1 + 3j)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 122, "text": [ "(-0.16893784584344818-0.5942900283096888j)" ] } ], "prompt_number": 122 }, { "cell_type": "code", "collapsed": false, "input": [ "Mp=mandelbrot(-2 + 1.05j, 0.8 - 1.05j, 320, 64, func=lambda z, c: z**2 + z + c)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 123 }, { "cell_type": "code", "collapsed": false, "input": [ "imshow(Mp)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 124, "text": [ "" ] }, { "output_type": "display_data", "png": 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JPPTQQ2htbcWyZcuwd+9enDhxAjU1NZiammLrmUuj3wDwve99D+vXr8f09DTi8Th8Ph/+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\n" } ], "prompt_number": 124 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }