From 974543a603156357ea43b010ce66cb753f544ac9 Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Sun, 10 Jan 2016 09:12:03 -0800 Subject: [PATCH] Fixed code bug due to renaming function. I renamed the function f, but did not propogate that change to every cell. --- 10-Unscented-Kalman-Filter.ipynb | 440 ++++++++++++++++++++++--------- 1 file changed, 321 insertions(+), 119 deletions(-) diff --git a/10-Unscented-Kalman-Filter.ipynb b/10-Unscented-Kalman-Filter.ipynb index 77f381e..d583c82 100644 --- a/10-Unscented-Kalman-Filter.ipynb +++ b/10-Unscented-Kalman-Filter.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -262,7 +262,7 @@ "" ] }, - "execution_count": 2, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -290,7 +290,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "collapsed": false, "scrolled": true @@ -298,9 +298,9 @@ "outputs": [ { "data": { - "image/png": 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M3DRVmyCIGNp9Qp1+BLo2ONg648V+0/D+2G/RzKetWt+lW+ex/sDXkHFlTSIiIqoGFtj0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\n1yMTjL9E1XKRGSKyA4LYiE7SRUVFePDgQYPH+Pr6Yu7cudi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AwNxJK/DGuMVwtHORMJnpkwkyDA2dWOW2CzdPIj3ncj0nIiIioodhg02PpBJVOH52v0at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\nCWji3Ul0BpPJBKF5+d0nsWKT/abnNO4bnpOXl9d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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -351,7 +351,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "collapsed": false, "scrolled": false @@ -361,7 +361,7 @@ "data": { "image/png": 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39GnIjh8+js1hI+gL3vYopclkwuFykOXJYuHH9CnKevaWfmnQL3gboA1gxpQZ\nRpci7kBGtz0sXbqU73//5/j9FUjwFTd2Nz7fWo4dW8KcOc/w6KNz+dnPfijLJYvramxsZPPmzaxd\nu5bVq1dz5swZnE4nzc3N8XBy9QITZrMZj8dDIBCgsLAwHnYnTJggF2DehPr6enYc3UG/Uen5e735\ncjN7t+5l6/qt7Nqyi2gkiqqo8enHbqWVIZHD5UBVVB4qeohFzy/ivrH3pf0FkbdK0zRMZvmepLu0\nDb8nT57k+edfwe9/G8jcfjBxq0zA0/j983jjja+zZs2DLF78O2bPnm10YSJJNDc3s2XLFtatW8eq\nVas4ceIETqeTlpaW+Pyg1wu7w4cPj4fdSZMm4Xa7jXgZKSsajbJx+0a8g7xYbenxJ0xRFKrfq2bn\npp1UrKug9nQtNrstPvfunTCbzdgcNnrl96LkxRKmLZyG2ys/cx2RtofMkB6/Oa4SiURYtOgj+P1f\nAmSJQnE7sgmHf0o4vIhHH/04L730DP/xH9+XU9AZyO/3U1FRwfr161mxYgXV1dW4XK7rhl2TyYTX\n6yUYDDJo0CCKi4uZO3cukydPJjs724iXkTb2HdhHvVrPwF6pvZjFhdoL7Nqyi4q1FRyoPIDZYiYc\nCqNEFeD2R3djnFlONE1j6oKpFD9bzPD7hndG2WlP0zSslrSMRiJBWv4Lf+lL/8wHH+SiKF80uhSR\n8mYRCOzlt7/9O9aufZilS//CfffdZ3RRogsFg0G2bdtGaWkpy5cv5/DhwzidTnw+H4qiB5NIpO3q\nV4lht6CggPnz5zN37lymTp0qi6l0ooaGBrYd2pby7Q7ffuXbvLftPSwWC8FAxyvz3Sqr1YrZYmbg\nXQMpebGEiXMmyqIftygaieLuKSPj6S7twu/KlSv59a9fw+/fBcipC9EZehEIvMEHH/yWhx6axr/9\n27f57Gc/Jb1yaSIcDrNjxw42bNjA8uXL2bdvH06nE7/fTzQajT/mal6vl3A4TJ8+fZg7dy7z5s1j\n2rRp5OXldfdLyAiKolC+tRz3AHfKtztEo1Ei4QgROl5C+Fa43C5MJhNznprDvGfmUTCkoFOOm4mU\niILbJeE33aX2b5Cr1NXV8eyzn8Tvfx2QP0CiM5nQtE/i90/ha197jrfeWsVrr/2WPn36GF2YuEXR\naJSqqirKyspYunQpu3fvxul0EggE4iO61wu7ubm5zJ49m+LiYqZPn05+fn53v4SMdODQAWqjtQzq\nPcjoUu4IJA1gAAAgAElEQVTYrMdncXTv0Tvq6bU5bKDBiDEjKHmxhLFTxqb8m4KkoOjzaov0llb/\nU/7lX75DKPQ0MNnoUkTaugefr4ItW75FYeFo3njjz8yYIVPiJDNFUdizZw9lZWUsW7aMnTt3YrPZ\nCIVC8ZDbXtj1eDwoioLH42HWrFkUFxdTVFRE//5yAW13u3z5MhUHKuh3X+q2OyhRhf2V+ylfWs7W\n9Vtva5qy2BRlTpeT4ueKmf3EbHrly2w0ncmkmCT8ZoC0Cb/vv/8+f/7zXwmFDhldikh7NiKR73H5\n8kwWLnyWH/zgG/z933/a6KJEK1VV2b9/fzzsbtu2DavVSjgcJhTSVwAIBq/ts3S73aiqisvlYsaM\nGSxYsICioiIGDx7c3S9BJNA0jYqdFdjz7djsqbXAx9WBFyAYCKKptxZ8Y1OUfWjKh1j0/CJGjR+V\ncctYdxsFubA5A6RN+P3CF/6FcPgfkBXcRPeZQSDwLl/9agm7d+/nF7/4qay+ZQBN0zh06BDl5eUs\nW7aMiooKQG9vaC/kxmRlZQH6amrTp09n4cKFFBUVMWzYMOnnTiKnTp3i+OXjDByVGrM73ErgNZlN\nHQbh2BRlPXr1YNELiygqKcLbw9ultQvQopqM/GaAtAi/lZWVlJa+g6L8xuhSRMYZjt+/lcWLn+XA\ngbmsWrVEFsXoYpqmUV1dTXl5OcuXL+edd95BURRUVSUQ6LiH0ul0YrFYMJvNTJ48mUWLFlFUVERh\nYaGE3SQViUR4Z9c79BrSK6n/jW4l8LqyXESjUe554B6Ovnc0vnBFjDPLiaqqTJ43mQXPLeCuUXcl\n9WtPO6r0/GaClA+/mqbxmc98hWDwm4BcoSmMkI3fv5Q9e77G/fc/TGnpMpkOrZMdP36csrIyVqxY\nwaZNm+LtC36/v8PnOJ1OrFYrmqYxYcIESkpKKCoqYuTIkRImUsSBQwdotjYzwJt8SxjfTuAtfLCQ\nWU/MYvyM8XiyPXz9pa+zt2IvFqsFi8VCwZACHv34o0yaOwlnlrO7X1LGU1UVk2qSM3gZIOXDb2lp\nKQcPnkPTXjK6FJHRLITDP6S2diTjx0/nb3/7PcXFxUYXlbJOnz5NeXk5K1eupKysDJ/Ph9lsxufz\ndfgch8OB3W4nGo3y0EMPUVJSwowZM3jwwQelPzIFNTc3s/3QdvLvS57ZNDoj8CZ69MVHOX7oOFMX\nTqX4o8UMGJZ8IT+TKFEFp8Mpb44zgEnr4JLTxsbG+P2cnJxuK+hWzZr1GBs2LAReNroUIVpV4HI9\nyXe+8xW++MXPGV1MSqipqaG8vJxVq1ZRWlpKY2MjVquVlpaWDp9jt9txOp2EQiHGjh0bD7tjxozB\nak359/UZr3RTKSeiJ8gfYGz47ezAK5KXv8WP5byFJ4ufNLoUcYdulGFT+i9ETU0NW7ZsAv5sdClC\nJJhIILCVb3xjFs3NLXzrW/9sdEFJp66ujo0bN7J69WrWrVvHxYsXsdvtNDc3d/gcm82Gy+UiGAwy\nevRoFi1axMyZMxk3bpycpkwz58+f58j5Iwx8wJiL3CTwZqZIOEKPrB5GlyG6QUqH39/85veYTE8C\nmfiL5gfAL4GPAE8CowE5VZM8BuP3b+ZHP5qF3x/gBz/4TkafSmtoaGDTpk2sWbOGtWvXUlNTg9Pp\npKmpKf6YWB9vjNVqJSsri2AwyMiRI1m4cCGzZ89m/PjxMhVRGlNVlS07t5A9ILtb/89I4BUBf4De\nvWTGqEyQ0uH317/+C8HgfxtdhgE04CfAeeBHwH8CDuBx4GlgGiAjYcbrh9+/kZ//fDZ+f4Cf/ezf\nMyYANzY2snnzZtauXcvq1as5c+YMTqeT5ubm+OT+Vy8sYTab8Xg8BAIBCgsL42F3woQJuFwuI16G\nMMCJEyeoDdUyqFfXr+QmgVckUoIKPXN6Gl2G6AYpG34PHjxIff0lYKLRpRjgIBDrZ4m0bi3Ab4DF\nQBSYBTwLzAeyDahR6Hrj95fxu9/Nw+//DL/+9X+l5cVXzc3NbNmyhXXr1rFq1SpOnDiB0+mkpaUF\nVVWB64fd4cOHx8PupEmTcLtl5pZMFIlEeGf3O+QN6brl6SXwio6YwiY8Hvn3zQQpG35fe20J0ehT\nQPoFiRvzAgXAOfRWh9jcpioQO428DCgHQsCHgBeAEkCWZu1+ufj9pSxeXEwg8DJ//vOvsFgsRhd1\nR/x+PxUVFaxfv54VK1ZQXV2Ny+XC5/OhKApwbdg1mUx4vV6CwSCDBg2iuLiYuXPnMnnyZLKz5Q2a\n0Kc28zv85HpyO/W4EnjFzdDCmoTfDJGy4ff119cQDn/f6DIMMgj4ADgOLEW/4G8fYEcfAY6JXTy0\nDXgP+DwwGH1E+HFgFNIn3F2y8fvXsGzZozz55PMsWfLHlJqRIBgMsm3bNkpLS1m+fDmHDx/G6XS2\nCbuRSNvJ+hPDbkFBAfPnz2fu3LlMnTqVnj3l1KJoKxAIUHmostOmNpPAK26FElWwYcPplPmVM0FK\nTnUWiURwu3sQidSij4IKaABWAf8DbEQPws3o/cFXs6P3BLvRL5Z7CphMCr8XSiEBXK7HePzxgfzp\nT79K2h7gcDjMjh072LBhA8uXL2ffvn04nU78fj/RaLTD53m9XsLhMH369GHu3LnMmzePadOmkZfX\ndaexRXrYtWcXlTWVFAwruO1jSOAVt6ulqQXXRRePzXvM6FJEJ0jLqc4OHDiA0zmYSESC7xW5wMda\ntyBQht7/uxS9HSKA3gsMEG7dfMAvgD+1PmY+8FFgDpk5g0Z3cBEIvMFbb03jG9/4Dt/5zjeMLgiA\naDRKVVVVPOzu2rULp9NJIBCIj+he3cYA4PF4iEQi5ObmMnv2bIqLi5k+fTr5+cmzMIFIfoFAgJ1H\ndtL7vlu/0l4Cr+gMQX+QQT27/iJLkRxSMvzu3LkTVR1ndBlJzAkUt24qUAm8jh6GL6CPBgdbH6tw\npT3idWAtejAeDzwPLAL6dlfhGcKD37+SH/94AkOHDuKllz7e7RUoisKePXsoKytj2bJl7Ny5E5vN\nRigUiofcjsKuoih4PB5mzpzJggULKCoqon9/6SUXt+/g4YNo2Ro2+83NUiOBV3S2kD9EXl85Q5Up\nUjL8vvPOTnw+Cb83xww83Lr9CKgG3kbvEz5Mx33C7wC7gL8H7gKeAz4MjOiWqtNfX/z+1Xz2s9MY\nMKCAOXPmdOlXU1WV/fv3U1ZWxtKlS9m+fTtWq5VwOByfXzcYDF7zPLfbjaqquFwuZsyYEQ+7gwcP\n7tJ6ReYIBAJUHa264aivBF7RpcJ625bIDCkZfisqdgIvGl1Girob+HLrVg+sQA/C76LPFdyU8Fhf\n6+0B4NvAd4Ee6D3CTwGPAKk9a4GxRhAIvMHjjz/Oli3rGD16dKcdWdM0Dh06RHl5OcuWLaOiogLQ\n2xvaC7kxLpcLk8mEzWZj2rRpLFy4kKKiIoYPH560/ckitR08fBAtp/1RXwm8otuEkZkeMkjKhd9Q\nKMTJkweBB40uJQ30Bj7RuvmBUuA19EBM6z6l9X4oYd9/Ab9t/Xgh+ipzswFZiODWTcbn+3/MnLmQ\n3bsrGDTo9nrONE2jurqa8vJyli9fzjvvvIOiKKiqSiAQ6PB5TqcTi8WC2Wxm8uTJLFq0iKKiIgoL\nCyXsii7n9/vZebRtr68EXtHdVFWFCDK/eAZJufBbX1+PzdaTSCTL6FLSTBb6PMAl6IF3K3oP8N/Q\nF9RQuBKAE/uE/wqsbP3cZPQL7hYC0jt1856ksfE0U6fOZ+/eipueXeX48eOUlZWxYsUKNm3aFG9f\n8Pv9HT7H6XRitVrRNI0JEyZQUlJCUVERI0eOlLArut2BQwcgR1/wZO/WvRJ4hSH8zX7yc/NTfv51\ncfNSLvw2NjZisSTX1Gvpx4IeZCejL6N8GHgLfRq1D9B/bHwJj4+1SmwAtgOvAveiB+HH0HuGxfUo\nyuepra3mIx95iVWrXm83iJ4+fZry8nJWrlxJWVkZPp8Ps9mMz+dr54g6h8OB3W4nGo3y0EMPUVJS\nwowZM3jwwQfTcqU5kTqampr4y1t/Yc++PWzfsB1Iz8AbCoT47Q9/SzQcxe6043A5cDgd2Ow2bA6b\nfhvbbDbsDjtWu7XN/vg+W9t9FquEtc7Q0tRCYd9Co8sQ3Sglw6/ZLKtBdR8TepC9F/gnoAZYjt4n\nvINr+4RjF8/tBY4A30Bvr3gGfU7hcWTmqnw3Fgr9hM2bJ/HjH/8nX/zi56ipqaG8vJxVq1ZRWlpK\nY2MjVquVlpaWDo9ht9txOp2EQiHGjh0bD7tjxoxJqUU1RHqKRqNs2rSJP/3pTyx5fQmqqhIKhdIu\n8CY6d/IcpW+WEgm1XQTGbDFjNpv1W5MZk8mkv+k1EX/zq6GBprc1aZqGpmqoqqpviho/jsVqwWKx\nYLVZ45vNZsNqt2K32+NB2+6wY3foAdzutONwOvT7Dnv8cYnB2+64ap/tyr7E/XaHHavNmrJvqBWf\nQv69Mj1jJkm5v4ZNTU2AjPwapx/wSuvWgj412l+BNeih1oc+vRpcmU7tFPoI8n+jjyo/hh6GZ6CH\nZ6FrxO//OF/5ypf4wQ++R1NTE3a7nebm5g6fYbPZcLlcBINBRo8ezaJFi5g5cybjxo3DZru5aaOE\n6EqJgffNN98EwOfz6X2WV0mXwJsoFkqvDr+q0hpgIx088SYpUQUlqtz4gddhMpmwWCyYzCbMZjMm\ns6lNGI/T9ECuqVeFcUUP5GazGbPVjNVixWKzYLVa2wTyxOBsd9ixOWz6SLjD0WZUvN2Abbe3GQ23\n2tse7+rNYrXcdCuXFtBk1ckMk3Lht7GxEVWV8JscPMATrVsU2AIsad386L/VY3PFRrkyKvxH9DaK\nMDAdfRq1BUCm/fJpADahv3FYiz6q7kRRQtTX1wPE+3hjLBYLbrebYDDIyJEjWbhwIbNnz2b8+PE4\nHPJGQiSHWwm8TpeTaDTKXSPvYkrxFB6Y8AAOlwNVUbl84TIN5xtQFD3gqara5jZ2UacaVVFURb9V\nFFRFv028H7+N6kEtti8ajRKNRFGiin6rKCgRhWi0dV80Gn+cEm09TuvXjh0v9rUTj6sq+v5oONru\nyHYy0TTtuis33ixVVVHDKlGi+rpKtyk+Kp4QxM0mM5j0WhP/PTpkIh6+YyPeX/vZ17j7/rvbPCwU\nCJHtzCYrS64jyiQpGX4VRcJv8rGiB9np6LNB7APeBP6CPvJrQQ/EoC+yEWuVWIMemsPAA1zpE07H\neWQbgc3oQXc1cAZ9QZLEZajbLixhNpvxeDwEAgEKCwvjYXfChAm4XDK7RrLSNC0ejqLRqP6HuvV+\ne/tu9Pk73ReJRAiHw0Sj0WtuI5EIkUgk/rzE+7HnXn28q+/HtmAwSDAYbHeBlHaZ9MVUzBYzxw4d\n49jhY/qII21P/8dH8DoayNOu3MZbBdBHJ68erUQDVVOvfCyShslswmq1YrHqM9BgQv/3Uq+8SQGw\nO+14sj243C5cbhdurxt3tpvsHtl4e3rxZHvI8maR5cnC7XHj8uiPKRh87dLZLU0tDMsf1s2vVBgt\n5cJvU1MTkYj0/CY3E3qQfQD4FnrIW4a+jPIu9FaHxFP5sRHhnehzCn8VKECfQu1JYDQd/9VLZs3o\nwX4dsAo4gR52W7jSGnJ1SDCjj6gHMJlMzJ07i3/4h88xadKkpJuGJxbwujq4dXXAS9xuJuDFRhvj\no45X3VdVFU3T9NEqs7nNbWyL9UYm7ou53qnaWFiL9YAm3tc0Lf61Y/djHyctLeH0v0hpVpseWi1m\nvX0i9oYjPmqvqHqbg9OBM8tJlrs1nGa78fbw4u3hJbtntr6/Nbi6PC7cHjdZniv77A57p9YdbA4y\n4N4BnXpMkfxSLvy6XC4slgCRO+yTEt1pAPDp1q0RfbT3f9DnFbbRNgzGzpUdQ1+R7j/Rw/LjwNPA\ntNbndBcNfWq3aDu3V+9rRg/wFejtDKdaaw/ScdgFfX7kMNALGIW+it4QNK2ODRv+H/ffP4rKysp4\nQEsMdomhLhkDXuLI3TWjeB19x9Mk4MXeHIiuldif2uY+115Apg8oJ/z8tfej2PqjlPizd81IcuIF\naJoa3xc/RZ94yh49CIYCoXa+mPHiI60WvV4g3ssb6ye22qzYnXacLicutyseWj05HrJ7ZOuhNRZQ\nE8Kr2+uOP96Z5UzO6RQDSL9vBkq58JuXl4fNdoHrLFIlbtmtBLyr993OcxRgPlAEHEUfDd6X8PlY\nUIy0bi3Ar4DftdbaB+iPHhZJOH7ilvi1rr6fuKkJt1ffV1u/ngl9RDbxNrZpVx3rah3Puas/P/Zf\n0Il+seA29DmW9a8dDkf54Q9/iMlkkoCXweJh6qo3Fldv0E6rQDvaBDvavrlo741G4huOm2W32/F4\nPHg8Hux2e3y0uyXYgtPtjAcui0W/TQxhsfsWi0W/tbbOZNC632rVL6iKPSbxOBbLtftiMyKYzQm3\nrceO77v68e0cJ/E5bfbHTtO34+L5i7w699Wb/r7drPj3qfVCtdjviFhojUaimC1m7A47ziwnrixX\nPKB6sj14e3rJ7pGttw+0tgW0N9rqzHKm7fy3SlTBErXc9NzqIn2kZPg1my8YXUY7GtD7OG82CEbR\nR/tit7Ggl7g/tkVoP+BdHei6KuDFPiZhH9y4FSGhEe+a+1rC147dVxMe157YBRk1rVt3iQXcrjhu\n7N/9Bo9MwuDb2ZIp4MVqSdxiK+El3iZuVqs+1VMskFit1vh9m80Wv43tj+2z2+3xj2Oft9vtbfZf\nfbyr73fFPoBt27axePFili5dCugLqLR30ZrH4yESifDII4/w0ksvUVJSQo8ePa553Oqy1dTZ6sjt\nk3sHPympxWK1tLkwy2QyxVsEru5rjV3IhUZ8KjJnllMPop4sPDkevDl6e4Anx9PuaGvsY5fb1e6S\n0eKKlqYW+vfun7JTtInbl5LhV9OSMfz+GP00vZ07C3hG6aqAJ9oy0/bNxdVvNNp7c6FgMvnxer3X\nhL3uDniJQe/q28SAF7tNDHixYHcrAe9O9t3ucRLbNTLNrczScLOBN+by5cscrzvOgNGZ1V/pzfEy\n56k5BHwBsntm4+3hjV+ElRhW3d4rF2bZ7LaM/RnsTr4mH6MHjDa6DGGAlAu/vXv3JhpNxvBrQh+x\nvcmrnNPa7QS86/2iV7kyIn6rAd2EPtOE+arNkrA/8b6KvlSzr/U21tpwvTcsltbP29DnQR7cuuWg\nvxmyJWwW9P92sVvrDfbp9+32f2XBgmG88spLnRIOMzngiba6MvAmOlx9GFte5oU6i9XCp775KaPL\nEO3QfBp9evcxugxhgJQLv7169SIYvMCVU/XJwob+7bTTccC7+n4irZ3b9jaVtqPI0DZsJga99gLe\n1VtH4cvKlbBmS9hnT/hc7PZOA96t7FOASvTZE9a3fhyi/VBsBtyt36f5wEeBOeizKdC6fz9QBixF\nX5rZih6yYxentBd6Y8d0oS/UsQC9f7nrpmcLhe7n7bfH8N3vfothw2RaHnFnuivwxgSDQfYd20fe\nyLxOqV+IOxWNRLFFbeTlyc9kJkq58OtwOLDZnIRCjcCt/QLuWp9CvxDr5kbyOm9fYj9upngA+CR6\nAK0EXgcWA7E3RbGrIVWuTKn2OvosEyFgEPosDCfRv3fRhOe0x9X6OBv6bBML0cPucLrvez+IcPiL\n/N3f/QMbNizrpq8p0kl3B95Ex08cJ+qOYrWl3J8ckaYaGxoZVjBM+n0zVEr+Jho0qJDq6gPAJKNL\nSdAb+F9GF5FhzMDDrduPgPeBt4E/A4fQw6ov4fGx+YQ/uMFxnVwZMZ8MLEIPu4UY+UZDUb7Itm33\ns3LlShYsWGBYHSJ1GBl4Y1RVpepQFb0G97rxg4XoJoHLAYY9KGfRMlVKht8pU8ZTXV1JcoVfYby7\n0Jda7gm8gT7XbqyP92aYgIHocwp/HH2EOZlG1R34/f/B3//91yguLs643klxc5Ih8CY6d+4cTTQx\n0D2wU48rxO3SNA18kJ+fb3QpwiApGX6nTh3P4sVr8flu/FiR7k4D5cBK9N5dH3rgvZ0fDg04C/ym\ndVuIvsrcbPTWByOdAg4C06ivh9WrV1NcXGxwTSJZJFvgTbTv6D48vT03fqAQ3aSlsYWC3AKcTqfR\npQiDpGT4HT9+PCbTd4wuQxiiBj3srkJfIa4R/ce45TrPsaO3MoSADwEPApeBjUATVy6agysrtQH8\nFT1Uh9DbHz6GHoiNuEDiefT+5igtLb35xCde4Q9/+DWTJk3C6/UaUI8wWjIH3hifz8eJuhMUPFjQ\n5V9LiJvV1NDEmKFjjC5DGCglw29hYSHRaD1wkSurfIn0VIceUlcD69D/ze1cCajtsaGP1AaB0eg9\nuzOBcbRdGlkDDgNvoS+3/AH6f4nEUeOm1tsN6LNBvArcix6EH0NvtehqCrCDKxflnaOuDp588knC\n4TDDhw+nuLiY2bNnSxhOc6kQeBOdPnMaU7ZJLioSyaUF+vXtZ3QVwkAmrYOloxobG+P3k3Hpv7Fj\nZ7Br1z8C84wuRXSqBvRe3TXAWvSRXidXQmh7LOjTjwWB+9DD7mxgPPqsDjerFliOfsHc9tbndvR1\nnej9wL2BZ4An0cN1V/yRr0Z/XdEOH2E2m/F4PAQCAQnDaSbVAm+iJSuWEM2P4smWtgeRHEKBEMHj\nQZ577Dm5biKN3SjDpmz4/dKXvspPfuJCVb9pdCnijjQCm9GD7mrgDHqwbKbjhSXM6HP1BtBnYFiI\nHnYn0Hm9uS2tNf0VPYjH+ojbu3jOypUZIh5DD8MzuLXgfT0a+gV8sbmN69FHsDtu9ZAwnNpSOfDG\nNDQ0sLh0MQMezKwV3URyqz1TywM5D/DwuIeNLkV0obQNv2vXruWpp75Jc/M2o0sRt6QF2ILewrAS\nOIEeHFvoeFaGxLA7nCthdxL6iG9Xi6LXvAR9vmAfEKH91fxMgLf1c9OB59AXwejZifXUoo+O/wCX\n6wiqqmC322lu7rgVRMJw8kuHwJuoancVVfVV9Bssp5dF8jhz8AyPPfIY/frJz2U6S9vwG4lEyM0t\noKWlEhhidDmiQ36gAn3EcgX6KXwXeoDsaKniWIAMoK+aVgzMRb/oLLuL670RDX1VuDeAv6DPwmBB\nf53t8aAH4Qe40ifcWSvBNeBwDGPXrgr27dvHmjVrWL9+PRcuXJAwnCLSLfDGqKrKn976E+673Dic\nnXUGRIg7o0QV6vfV84knP4HVmpKXPImblLbhF+D551/hf/7nbjTty0aXksFOAv8J5KAHVid6n+4R\noKr18070IHujsBsECtCXIp4LTKVzR0y7whlgGfAnYBd6q0NHodOFHp4L0KdQexL9grzb7ztzu5/i\npz+dxyc/+cn4vtraWjZt2iRhOEmla+BNVFtby1sVbzFgpLQ8iORRX1PPcPtwpk2cZnQpoouldfgt\nLS3l8ce/RnNzpdGlZLB/A/4JPdSZ6LhPtyNW9NHcvugLTOSjB95c9EDsRR899V61xfZlkTwLUTSi\n9wf/BX2kO9aX2147hw09KDvQF9V4Gn3pZFs7j72eJTz88K/Ytm1dh4+QMGy8TAi8iTZXbOb90Pv0\nLuhtdClCxJ05cIbHJkjLQyZI6/AbjUbJzS1o7fuVZQq7RxR9RHcD+swIlXQ8onsnTOhB0MqVpYZB\nD9dqax3R1q/tQB9VdaH3AHvQA3UO0ANjwnQYvS/3b8CbrR+H0HuFrxbraY4Cs4Bn0Ue/b6bFw4/d\n3o8zZ96nd++bCxoShrtHpgXemHA4zB/f+iN5o/KwWC1GlyMEAKFgiJajLbzwxAsy9V4GSOvwC/CJ\nT3yKP/5xMKr6VaNLSVMKsAd99bRlwE70eXaDtH/BV7IyMkwD7EbvE34NONdaT6CDWr1cWZDjBaAE\n6N/hK3O7P8KPfzyDV1555ea+FVeRMNx5MjXwJjpx4gSr965mwAhpeRDJo+ZUDWPzxjJ2zFijSxHd\nIO3D78aNGykp+QLNzbuMLiVNqOgXdJUBS9EXV7BwZeSyI87W59qAu9EXf+iNHiYvoa+o1ow+b66v\ndQu0HjP2vFgwjY28JgbTCF0zwny77iRM29Bf9wX074mF9keE4cr3dQDwUfT2iPtpOzr9FuPG/ReV\nlRs65ZVJGL41EnjbWrVhFRecF+iZl+z9+iKTnHnvDM/MfIbc3FyjSxHdIO3Dr6Io5OcP5eLFN4CH\njC4nBWnAIfQlg5ehz8wAenALdvQkrrQHWNEvTFsEFKFPRXarbQNh9N7Y5tYt8X7ivkb0RTDSMUzf\nKgf66HJPwIPJtI85c2aRn59Pz549yc3Nxev14vV68Xg88ftX78vKyrrhRO8Shq8lgbd9oVCI37/1\ne/o+2FdOLYuk4Wv2Yaox8cyiZ4wuRXSTtA+/AD/+8f/l619/F79/idGlpAANfbqxcvSe3XfQQ6BG\nx9N1wZVFHMzoU47Fwm4hyXPBWYyEaZPJhM1mw2q1YrFY4kFE0zRUVSUajRKNRlEUBYfDgcvlwuVy\n4Xa78Xg8ZGdnk5OTQ48ePa4J04qicOzYMd577z127drF5cuXsdvttLSk96IbEnhv7PTp06zcvZL+\nhR236QjR3c4dO8fUoVO5d8S9RpciuklGhN+Wlhb69RtKS8u7wD1Gl5OEjqO3MaxAvwgr1r5wo7Br\nRQ94E9D7TouAkSRf2O1qtxumm1o/dzthOkzHi350v+uF6Wg0SiQSIRqN0sGvk3aP53A4iEQi5Ofn\nM378eCZOnMiECRPo27dvfHT6Zkamu5IE3luzeetmPgh/QF7fPKNLEQLQf0ed3XOWFxa9gNvdHYsi\niWSQEeEX4J/+6Zv85Cc1BIO/NLqUJHAafWR3JXro9XFled6O2NFPpUeA8ehhdwbwIFf6WUXnuNkw\nfRk9SF9Cv0juFFDH9XuvrzCbzVgsFkwmE4qioCjJMzJ9PSaTCbPZHB+ldjqdtzQyfb1Wj5sJ08ke\neFC4zpYAACAASURBVE+fPk19fT1DhgyhZ8+ehr45SKSqKr9//ff0uLcHNvutTtknRNe4fPEyuf5c\nFsxaYHQpohtlTPi9cOECgwbdQyCwH30RgUxSgx52VwGl6COQVvQA1RE7+uhuCBjLlbA7pvW5InnV\no7+x+RPwLvq/Zfv9t1arFZPJhNPp5J577qF///7Y7XYaGxtpamqiubkZn8+Hz+cjEAgQCoVQVbXN\nKG8sXCW2TEQikaQK03fa5uH1eolEIpw/f57Tp09jMpmIRCLtjmRnZWURjUYZP348L7/8Mo8++mi3\njvCOGDGCM2fOEIlEMJlM9O3bl8GDBzNixAhGjBjBkCFD4luPHj26LRzX19fz+ubXGTBKZnkQyeP0\n4dMUP1jMkCFDjC5FdKOMCb8Ar776v/nd75xEIj80upQuVg9sRA+764CLXC8A6Wzosw0E0VcVWwTM\nBMZx6wsriOThR3/D8xqwmKwsJ6FQqN1garFYyMrSp15btGgRH/nIR5g1axYul6vN48LhMC0tLTQ3\nN8e3qz9ubm6msbGRS5cucenSJS5fvtxumA4Gg2ia1iaYJrZKKIpy060SycBiscSXRY2NpjscDpxO\nJ1lZWd0yMp2fn09dXV27n7Pb7TidTgCCwSBms7lNOC4sLGTIkCEMHTo0Ho47y+69u6k8X0m/wbKA\ngEgO0UiU+v31fPzxj2O3240uR3SjjAq/J06cYMSIDxEKHUOfjzVdNKD36q4B1qKP9F5vGV3Qe0nd\n6GH3PvSwOxu9pcHRlcUKg9hsn+Oll8K4XE4WL15MY2MjiqIQCrXfJpGdnU0oFGLy5Ml87GMfY+HC\nheTldX6v5o3C9NmzZ9m3bx/79+/n2LFjBIPBeKvGzTCbzVit1vgot6IoKT8yfb0w/dprrxEO394c\n2x2F4yFDhnDvvfdyzz33xEeNhw4deku/+xcvXwwFkOXJuvGDhegGdWfruNt5N1MnTjW6FNHNMir8\nAjz11Iu8/fZAotHvGl3KHWgENqMH3dXAGfQWhWY6Xj44tkpYAH0Ghv+/vfsOj+q88/7/npkzTaOO\nJECiGUQXIDqYZoEoomNkwMB6EzuPn+yVTdlkky3Z32+zT+LNZh/vJrvJlsSOUwzYBoyNMRgwSzO2\nARsMiCI6qCGQUJ2iaec8fwySBUgghKQzI31f13WuGY3OaL4jhPSZe+77ey8kFHYnExrxFZ3fBubM\n2cKuXZvRNI38/Hzeeecd1q9fz+XLl1EUBZer6Xnf0dHR+Hw+hg4dytq1a1m6dCnp6ekdXH9Ia1ur\nWa1WfD4fSUlJpKenk5qaisPhoLa2lqtXr1JQUEBFRQWapj10tNlkMmE2mzGZTGEZpttL43Ds8XhQ\nFKXZcNyvX7+Gvw1Op5N129eRlildHkT4KDxVyIqsFe3yol6Ety4XfouKihg8OBO3+zChjRYigRM4\nRGgKw3bgGqGw66T5Ff+Nw+4Avgy7UwiN+Iqu5yLdumVTXn79vs+Ulpaybds21q1bx5EjR7BardTU\n1DT5VWw2GwaDgeTkZFauXElubi7jxo3TrW9ra8OwzWZrmHahKEqz3Sjqg//o0aNZvHgx48aNw2Aw\ntNk0j0iYM91SVqsVqzX0zpHH48FsNtOjRw+6d++OJdHCoFGDSOmVQkpaCt3TussosNBNdUU1jioH\ny3KW6V2K0EGXC78A//iP/8xLLx3A7X6f8G7LpRJaZPYJodFZF833ijUQ2vbWA/QFcoC5wDRCW+8K\n4cdojCIQ8D1w3qjT6WT37t1s2LCBnTt3YjQam+1moCgKNpsNk8nE0qVLWblyJTNnzmwIQHpoTRi+\nl9lsRtM0Jk6cyIsvvtimXRoeZc50RUUFVVVVd4Vpp9OJ2+1uNkyrqvrAnsp6MlvMmC2h763P60NR\nFBKSE0hJS6H3gN6k9UsjJS2l4ZBwLNpL4blCFo5ZSJ8+ffQuReigS4Zfn89HevooCgt/RqiLQbjS\ngERCLa3uVR926wh1r5h355hOaFcvIe5nscRTWnqVhISW/YwEAgEOHTrEpk2b2Lx5My6XC7/f3+Sc\nUoPBQExMDD6fj6eeeoq1a9cyf/78Fj9WewgEArzzzjv86le/4pNPPmnxAjqDwUB0dDR1dXVhv+lG\n4zB98eJFlixZgtv9oB7d4ctoMoJGwwstq91KQlIC3Xt1p/eA3mQ+mcmEmRN0rlJEujp3He4rbtYu\nXYvJZNK7HKGDLhl+Afbs2cOSJS/idp8hvOe8LgW23rkeQ6gHbDKhUd0cYAYg85VEy0RHp3P8+AcM\nHDjwke+raRqnT59my5YtbNiwgevXr2MymZoNWvXTBUaOHNkwT7hv376P+xQe6lH68BoMBjRNa5i7\n25xI2YHu3LlzTJgwoU1Hfk0mU8MivPrDYDA0HI3V/7lQVbVhGkcwGCQQDE0p0VQNoynUX9poMmJS\nQt0x6i8V85eH2WJuuDRbzVgsFkZOGsn81fPb7LmJrqn4cjFT+04lY3iG3qUInXTZ8AuwYMEz7N49\nnEDgR3qX8gA7gD8jFHLnA08BPfQsSESwuLhJfPDBz5k8efJjf62ioiLee+89Xn/9dY4fP47Vam12\naoHdbkfTNFJTU1m1ahW5ublkZma2WY/ZR914wufzMXnyZJ5//nkmTpzIiRMnHnnOcDiG4aKiIoYP\nH47PF5pSYDabG6ZEWCwWLBYLZrMZq9WKxWJp6BxRf1l/2O12oqKisNlsDefV37+p6w/6/PmL5zlZ\neZLe/XtjUkxhs+mG6JqCgSA3T9/kucXP3dfGUXQdXTr8FhYWMmTIaNzuo0B/vcsRot3Fxi5k3br/\nzaJFi9r061ZXV7Nz5042bNjAhx9+iNlsxul0Nhk+68OX1Wrl6aefZsWKFcyYMQOz+dH6ST9O4H3Q\nHN7WLqALxzAcDrbt3kZtXC0x8V37+yDCw82imwyNHsqUiVP0LkXoqEuHX4Af//in/NM/HcDt/oDw\nXvwmxONzOL7Kv//7NJ5//vl2ewyfz8eBAwfYuHEj77zzDl6vF6/Xi9/vv+/c+tAYCATIzs5m9erV\n5OTkEBvb9CLN9gq8DyJhuPWCwSC/3fhbumd2160biBD1NE2j6FQRq7JXkZiYqHc5QkddPvz6/X5G\nj57KuXNrUdVv6l2OEO1KUf6Sl15K4Qc/+EGHPJ6maXzxxRe8/fbbvPnmm5SUlGAwGPB4PE2eHxMT\ng9frZcyYMTz33HMsXryY7t27d3jgfRAJwy13+/ZtNu3fRFqG9PcV+qssryTBlcCiOW37zpeIPF0+\n/AJcunSJUaMm43bvA2QCvOi8LJa/4Kc/7c13v/tdXR7/2rVrbN26lXXr1nHq1CksFkuzi7OsVit+\nv7+hlVcgENAt8D6IhOHmXbhwgb2X9pI2QMKv0F/h2UIWj19Mr1699C5F6EzC7x2vvfZ7vvnNf8Ht\n/ozQBhJCdD4Ox/P84hdP8rWvfU3vUqioqGDHjh2sX7+e/fv3YzabW9yL1263EwwGdQu8DyJh+Ev7\nDu2jQCsgMUXeYhb6cjvd+Av8rF6yWqbgiIdmWKUji9HTV7/6p7z77k4+/PA71NX9t97lCNEuTKaa\nsHmxmpiYyKpVq+jZsydJSUm8/fbbmM3mJucG36t+V7bk5GSio6MfebFce+rRowcrV65k5cqVQMvC\nsKqqDTvq5efnc+HCBV599dWIDsOaplFQWkD0oGi9SxGC20W3mTV8lgRf0SJdZuQXoKamhmHDxlFc\n/PfAGr3LEaLNxcXNZuPG7zNnzhzdamhNH976y6bUb6wxceJE1q5dy6JFi+jRI3zbAXaVkWGn08m6\nHetIGyVTHoS+PC4Pnqse1ixZg6J0mTE98QAy7eEeJ0+e5Mkns3G7DwJD9S5HiDYVFzeBXbt+ycSJ\nEzv0cR+nS0NGRgZ79+5l3bp15OfnN7RRa4rD4SAQCJCens6aNWtYtmwZQ4YMadfn9rg6axguKChg\nx4kdpA2W8Cv0VZhfyKyhsxg8aLDepYgwIeG3Ca+88lu+852Xcbs/QbYKFp1JTMxgjh7d2iGBsD3a\nkpWVlbF9+3bWrVvHoUOHsFqtDdMF7mW1WjGZTMTHx7NixQpyc3OZNGlS2G9n2lnC8NFjRzlVdYru\nvbrr8vhCgIz6iqZJ+G3GN77xXX7/++O43bsAq97lCNEmbLYUrlw5Sc+ePdvl63dkH163282ePXt4\n8803ef/99xtua2qbYpPJRFRUFACLFi1i1apVZGdnR8QOT5Eahjdv30ywR5Co6KgOeTwhmlJ0voiZ\nQ2bKqK+4i4TfZqiqyqJFK9m3T8HjWQ/IJHkR6W5htw/G5apo0y1m9dh44l7BYJDDhw+zefNmNm7c\nSFVVFcFgEK/X2+T5sbGxeL1epk6dytq1a1m4cCFJSUmPXUdHiIQwHAwGeeWtV0gdkyrbGQvduJ1u\nfNd9PLv4WRn1FXeR8PsAdXV1TJ6czZkzT+L3/7Pe5QjxmHYwbty/8tlnex77K4VD4H2Q/Px8tmzZ\nwvr167l8+TKKouByuZo8t76+oUOHsnbtWpYuXUp6enq71teWwjEM19TUsGHXBtJGynxfoZ/C/EKy\nh2UzaOAgvUsRYUbC70Pcvn2bzMwplJR8E1X9ht7lCNFqRuP/4S/+ws3LL/9Tq+4f7oG3OaWlpWzb\nto1169Zx5MiRB84TttlsGAwGkpOTWblyJbm5uYwbNy6i2iOFQxguKSnhvc/eI22IhF+hDxn1FQ8i\n4bcFrl69ypgxU6mq+g9gqd7lCNEqMTGLee2158jNzW3xfSI18DbH6XSye/du3njjDT744AOMRmOz\nz0dRFGw2GyaTiaVLl7Jy5UpmzpyJ1RpZawD0CMPnz59n35V9pPWX8Cv0UZhfyOzhsxmYPlDvUkQY\nkvDbQp9//jkzZuTgdr8HTNa7HCEemd2eyrlzn9K3b98HntfZAm9zAoEAhw4dYtOmTWzevBmXy4Xf\n78fn8913rsFgaOgnnJWVxZo1a5g/fz4JCZHXDaYjwvDHRz7mQt0FknpExjxq0bnU7+b27OJnw767\ni9CHhN9HsGPHDnJzv4rHsw2YoHc5QjyCEqKjR1FTc6vJBUhdJfA2R9M0Tp8+zZYtW9iwYQPXr1/H\nZDLhdrubPL/+ezBy5MiGecIPe1ERrtojDG/ZuQVvNy/RseG1u1tNZQ27Nu7CYrNgtVqx2q1YbdbQ\nx7bQxxar5b7bFbMiC/ciSOG5QmZnyKivaJ6E30e0bds2Vq58AY9nCzBV73KEaKG3mDbtdQ4efL/h\nlq4eeB+kqKiI9957j9dff53jx49jtVqbDYN2ux1N00hNTWXVqlXk5uaSmZkZsWGpLcJw7wG9mbRo\nEsPHDQ+rVmc73tjBKy+9gsFgwGQyYTAaMBqMYAQDBjQ0NFVD0zRUVUUNqqHWeRqYzCbMZjNmS+iw\nWC13hWZblA1blA17lJ2o6CjsDvuDw3UT4dtis0TU/PJw5Kp1ESgMyKiveCAJv62we/duli1bg9v9\nFjBT73KEeCiHI5d/+7cc/vRP/1QC7yOqrq5m586dbNiwgT179qAoCk6ns8nvmdlsDoUaq5Wnn36a\nFStWMGPGDMxmsw6Vt43WhGGDwYDdYcdX56NHnx6MnT6WzCmZDB09tNkw/O5r7/Le6++R/XQ2Ty1+\nitS+qW3+XHZt3MWrP30Vr6fpFnhtzaSYMJqMGI2hw2AwhLbqRgONL0N2fdAOBDGajJjNZhSL8mXI\nvhO0bTYb1igrNrsNu8PecNiibM0G6q42ml1wuoAFYxfQr18/vUsRYUzCbysdOHCA+fNzcbv/COTo\nXY4QD1CF2ZzG8uWL2b59OyCBt7V8Ph8HDx5k48aNbNmyBa/Xi9frxe/333du/WhoIBAgOzub1atX\nk5OTQ2xsrA6Vt53WhGEMYLPb8Hv9JKcmM2zsMAaNGkTfgX1RzArBQJCX//Jlym+UY1JMGDAQmxjL\niIkjGJgxEHu0naA/SCAQIBj48jIYCOL3+RuOgD9AwB/A7/cT8AUaPg4EAgT9QSrKKqgsq8Rb1zHh\nt6MYjKGR7HtHsxtoNARsnzc0p91gMDSMZitmBavNis1hIyo6im/95Fv0GdhHnyfzGCrLKolzxrF4\n7uJOGexF25Hw+xg+/fRT5sxZgtP5a2CZ3uUI0UgAOAC8DryFyeRvGGW6lwTe1tE0jS+++IK3336b\nN998k5KSEgwGAx6Pp8nzY2Ji8Hq9jB07lj/5kz9h8eLFpKWloapqKKwFQqHt3qOp2x/l3Ma314d1\nr9eLz+fD5/Pddd3n8911v/qP6+8fDAYbPg4EAg0f19/W1M/XwxgMBkyKiYA/8MBzjIoRo8GIpn05\nLUFTm/zz1OWZlFCoNZpCCVhVQ6PKAX8Ai81CVHQU0bHRxMTHEJ8UT2JyIgnJCcQmxBITH8PIiSOJ\njguv+doPo6oqxXnFPJP1DMnJyXqXI8KchN/HdOzYMWbOXEBNzS+AVXqXI7q0xoF3y53bXEDnCbyq\nqrY6+LV3UHQ6nVRUVFBZWUldXV3o7e2mf33ep34OauO3xxu/TV4/itXUaFb9Y9SHwoZg2OgyGAy2\nKpgK/SkWBUVRQkH2zghuwB964WGz24iKCQXZuMQ44rvF061HN+IT44mJj2kIs/XXHbGOTjsP9lbR\nLfpb+5M1NUvvUkQEeFiGlc7QDzF27FgOHfqQ6dPnUlNThap+Xe+SRJfS8sDrcDjw+XyMGTOG5cuX\nM2PGDOx2O36/n/Pnz4fdiGJTh6ZpDQEx3INiS4Nv/bmBQPMjn6JpJpMJxaLcFeg07c58Wu78G6t3\n/zubzWZ9pj0YwGwxoygKBqMBtNA20H6fH4PBgC3KhiPGQUxcDLGJsSQkJ9AtpRuxibHEJsQSGx97\nV6CNio6St/bv8Pv8BMoDjF8wXu9SRCchI78tdOnSJWbOXMStW7Pwen8ORO4Cl65JJRQk/U0cbXF7\n49u8jY7GH/saHY3v62v0Neq/jgtwAnUtenYGgwFFuTOC1EZBsfEhOl596L/3hUD97fXnNBeQGv+7\nAs3+29a/4KgfmTaZTCiK0nBZf91sDgU7j9eD0WrEYrFgUkyYzHfOM4cOTdVw1jipKq+ioqwCn9eH\n0WgkGAi26vtgsVnQVI0RE0cwOXsyA0cNxGKxoJgVTMqdWhUTJsXEiY9P8Mu/+yVuZ9Mt7FrKYDRg\nsVgaFrOpqtoQZBVFwe6wh4JsQgxxiXEkJieSmJLYEFwbLuNDwdZqj6yNU8JN8aViJqRNYEzmGL1L\nERFCRn7bSHp6Onl5h1m0aBXHjuXgdm8EEvUuKwzUAcdofXhsHBTrg+GjBMXAPR8Hmzk0QitETIDh\nzvXGl/UHjS4b0xpd1h9qo8vGR8fTNK1h1LUr0iMo1ofFe4OiqqrU1dXhcrlCbbRofpS4/vzk5GQG\nDx7MwIEDSUxMxGq1htpuNXEoitLi21tyrqI8WleA9e+ux/pEqLNASxRfLebPF/55i7/+vXx1oQVc\nXxz6gnPHz2E0GZmxcAazls0iPSP9rtptDlvD97yeSTGFgrLJBAbQVK1hoZzFGpof64h1EBsfS1xS\n3F3zY+8djY2Jj8FskYGPjuR2unF4HYwYPkLvUkQnIuH3EcTFxbFv3/t8+9s/4He/m4jbvQ0YondZ\nOvsX4MeArdFtTQXFpkJiRwdF/cJpONErKDY+6oNi46NxKLNYLCiKgsViafjYarVisVgajvqWY/W3\nt3UobOr2Rw2Kly5d4t1332XdunXk5+djNptxOp0Nn6+fCnHz5k2cTidHjhwhPT2dNWvWsGzZMoYM\nCb/fL+46Nw6zo8XnlxaWYrVbH3s0VtM0PK7QYsOdb+1k77t7sUfZmfX0LLKWZNF7QG/6DuxLv8H9\nsFgtdy30amo0tjPPj+1Myq+Vs2DsgohuJyjCj0x7aKXf/vZ3fPObf4XH80dgnt7l6OhHwD/oXUQ7\nqh8dbnwYGt0Od48a36s++Ndfr59+EaDlQdwMRAHRgIXQa1YVg+EaI0dmEBUVdVdQa0lQbOtQ2NTt\njxoUO7uysjK2b9/OunXrOHToEFarlZqamibPtVqtmEwm4uPjWbFiBbm5uUyaNEn3sBYIBHhl4yv0\nGturxffZ8/Ye/vNH/4nFamloWdaWFEXBqBhJSEpg7oq5zFg4g+RU6QbQGdy+eZskbxILshfI7xLx\nSKTbQzs6dOgQCxc+g9P5A4LB79B8AOrMXgL+P0LBrj2CYuMRY437pzDceyj3HOZ7rlsaXSp3Lq13\nLhtftza6bm50/3uPltxuAE4A7wG77jw/d6Pn2lg0oakdk4HngcXA/V0aoqJy+Zu/Gcvf/d3fNPO9\nFOHM7XazZ88e3nzzTd5///2G2+59yx5Ci76iokIbRyxatIhVq1aRnZ2N3W7v0Joh1D/69e2vkzYq\nrcX30TSNspIyiq8WU3SliCvnrnD1/FVKC0vxerxYbVZUVcXr8T7SIsKmWKyW0G58/VKZu2IuU3Om\nEt8t/LuciPsFA0Fu5N1g1dxVJCQk6F2OiDASftvZ9evXmTVrMcXFmdTV/QqI0bukDnYV+C/uDoqP\nGxYfdnv9vN1w1vIuDS0NvF86TEJCLkVFFxpCkYhcwWCQw4cPs3nzZjZu3EhVVRXBYBCvt+mOBbGx\nsXi9XqZOncratWtZuHAhSUlJHVJrZWUlG/duJDWjbXZnc9W6KLlWQtGVIq5fvM7lM5cpvlpMZVkl\nZqsZo9GIt87bqsVyVrsVNagyYPgA5q6Yy+TZk8NqK2bxYCVXSshMymTi+Il6lyIikITfDuB0Onnx\nxW+zdetB3O71wAS9SxK6aM/AWy+IwzGDX/ziq3ztay88fski7OTn5/POO++wfv16Ll26hKIouFyu\nJs+t7+c8dOhQ1q5dy9KlS0lPT2+32m7evMm7n75L6tC235q4sWAgyM3imxRfCY0WXzp7iesXrnOr\n+FbDQrVgMNjibYxtUTaCgSAZEzKY+8xcxj01DovV0q7PQbSes8ZJoDDAigUrsFqlU4Z4dBJ+O9Dm\nzZt5/vlv4PF8i0DgrwmNUIrOrSMC75cU5SVGjtzF0aP7dJ//KdpfaWkp27ZtY926dRw5cuSB84Rt\nNhsGg4Hk5GRWrlxJbm4u48aNa1jE2BYKCwvZfmI7aYNaPu2hrdVU1lB0tSg0WnzhOlfOXqHkWgnV\nldVYbVYMBgN1njrUYNNz6u0OO8FAkPFZ45m9fDajJo/CpMj/pXChqipFeUUsnbKUtDT9fs5EZJPw\n28GKiopYvvw5zpwJ4HK9DvTVuyTR5jo28H7pILGxKzh79pj8UeiCnE4nu3fv5o033uCDDz7AZDLh\ndDqb7MOsKAp2ux2TycSSJUtYuXIlM2fOfOxRtEuXLrHn4h7S+offz5/f5+dGwQ2KroSC8eUzlym4\nVMCtklsYMKBYFAL+QEPrNAB7lB0MMDVnKrOensWQzCFt+mJBPLob124wJGYI05+crncpIoJJ+NVB\nMBjkZz/7F37yk5fxeP4d2Ra5M9Ar8NYrIypqDJs3/4acnJzH/Foi0gUCAT7++GM2bdrEpk2bcLlc\nDTvr3ctgMBATE4PP5yMrK4s1a9Ywf/78Vi0iyjudxycln5Dat32nPbQlTdOoLKsMheKrjUaLr5fg\nqg1NJ6kfJY5NiCVrSRYzl86k3+B+0mGgg7mdbjxXPaxauAqbzfbwOwjRDAm/Ojp27BhLl67h9u0J\neDy/AmL1Lkk8Er0Dbz2VqKiFvPjiCH7+85+10dcUnYWmaZw+fZotW7awYcMGrl+/jslkwu1uuq9u\n/TzhkSNHNswT7tu3Ze9QHT12lLzqPFLSUtryKejG6/FSfK2Y4qvFFF4u5NLpSxRdLaLiZgW/2v4r\nevTqoXeJXYamaRTmFbJwwsIW/zwK0RwJvzpzuVx84xvfY9Om7bjdPweWE/6dCrqycAm8XzKZ/pmM\njK189tl+afQuHqqoqIht27bxxz/+kePHj2O1WqmtrW3yXLvdHmoNlprKqlWryM3NJTMzs9kRz8Of\nHeas82yn76OrquoDN3oRba+0oJQBtgHMnDZT71JEJyDhN0x89NFHPPfcn1FW1huX65dA+63IFo8q\n/ALvl94mLu7POXXqCH369GnHxxGdUXV1NTt37mTDhg3s2bMHRVGanSdsNpsbNkJ5+umnWbFiBTNm\nzLjrBdcnRz8h351Pcs/OHX5Fx/K4PLiuuFi1YJUu/atF5yPhN4z4/X5efvkX/OQnP8Pn+xaBwA+4\ne1tg0XHCOfDWe5fY2K9z4MBOMjMzO+DxRGfm8/k4ePAgGzduZMuWLXi9XrxeL37//TuuGY1GoqOj\nCQQCZGdns3r1anJycsg7l8dF70W6de+mwzMQnZGmaRSeLmT+2Pk88cQTepcjOgkJv2GooKCA//W/\nvsPHH5/G5foPYLbeJXURkRB4620jJuZr7N//AWPGjOnAxxVdgaZpnDhxgs2bN/Pmm29SUlKCwWDA\n4/E0eX5MTAxer5eBgwYyZvYYZi6dKQFYtIlbRbfoY+pD9oxsmWYi2oyE3zC2fft2Xnjhm9TUjMfj\n+TkQOSuoI0ckBd56O4iO/gp7925n/PjxOjy+6GquXbvG1q1bWbduHXl5eZjNZpxOZ5Pn1m8hnJya\nzIyFM5g8ezJ9B/WV4CIeWZ27juqL1Ty74FkcDofe5YhORMJvmHO73fzDP/yUX/7yv/D7v0Eg8F1A\nvt+PJxIDb71dOBx/wp497zFp0iQd6xBdVWVlJTt27GD9+vXs27cPi8VCbW0tTf2pUMwKJsWEzW7j\nyblPMi1nGkPHDJVNI8RDaZpGwekC5o2eR/oAWQMj2paE3whx9epV/vqv/4Ft23bg8/0lweCfA7IP\nfctFcuANMRheIyrqr9i1612mTJmidzlC4PV62bt3L2+99RZbt27F6wvNE25q9zSj0YjVbkVTNcZM\nH8P0BdMZM3UMtqj71zXs2LCDgzsOMv/Z+UycNRGrTbaw7WpuXL1BuiOdrKlZ8q6BaHMSfiPMoR9N\nmQAAFJlJREFU2bNn+d73/n8OHPiUurofomlfA2QP+qZFfuAN8WKzfYvk5APs2vUOQ4cO1bsgIe6j\nqiqv/eE13t79NscOHKO6sho08Hnv31gDQtsI+/1+Bo8cTNaSLMZnjSchKbSxxlemf4WKWxWhrYaD\nQSZnT2buyrkMGztMdljrAqorqjHeNLI8Z/lj7zooRFMk/EaoY8eO8Z3v/B3Hj+fjdv8IWAvIW4md\nJ/DWK8ThyGXq1DQ2bvw9sbGyEYoIX0c+P8KZ2jMkpyZTcr2Ew3sOs3/bfoqvFGNSTNS565q8n9Vu\nRQ2q9OzTk7EzxrJ9/fa7thk2GA1YbVasNiuzc2eT/XQ2qf1kDURn5Pf5uXX2FrmzcklKStK7HNFJ\nSfiNcAcPHuTb3/4hFy/exuX6EaFNMrpaCO5sgbfePuz21fzwh9/hb//2B/LWnwh7nx//nJNVJ+/b\n4a26oprP93/O/m37OXvsLGaLGbez6R3mzBYzGhoBX6DJzytmBaPRSI8+PZi/ej7TcqYREx/T5s9F\ndDxN0yg4U8DMYTMZNnSY3uWITkzCbyegaRq7du3i+9//P1y5cgOP51to2gt07u2SO2vgBfBjMr2M\nw/FvvP32OrKzs/UuSIgWyTudxycln5Dat/lRWW+dl5OfnOTg9oN8tv+zhtuamif8MDa7jWAwyIgJ\nI8hZncOYqWMwW2SXw0hVer2UJyxPMGvGLHmxL9qVhN9O5siRI/zkJz9nz54PUdXn8Pm+BXSmxuA+\n4OvA5jsfd5bAW+8jHI4/IzMzjQ0bXpFd20REuXz5Mh+e/5C0AWktOj8YDHL+5Hk+2fkJh3YewlXj\nQg2qTW6s8TB2hx00mL5wOnOemUN6RroEqAhSU1mDdkMjNycXm002dxLtS8JvJ1VQUMC//uuvePXV\n19C0GbjdfwFMASL9j0EBoTDfmQIvwC3s9u9jt+/l17/+OcuXL5c/3CLiFBUV8f4X75M2qGXh916b\nf7OZjf+9sdm5wS1hNBkxW8zExMUwb9U8spZkyXbLYc7v81N6ppTcmbmkpKQ8/A5CPKaHZVhZVhuh\n+vTpwy9+8c+Ull7jZz+bSc+eXyU6egKwHvDqXd5j6AM07vkYTajbxQzgP4CbwH7gOSIj+AYxGP4L\nuz2DF15I5tq1s+Tm5krwFRHJarViCLT+Z/f4oeOPFXwB1KCK1+OlvLS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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -399,7 +399,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": { "collapsed": false, "scrolled": true @@ -409,14 +409,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Difference in mean x=-0.212, y=42.797\n" + "Difference in mean x=0.043, y=42.877\n" ] }, { "data": { - "image/png": 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hIBAIwO12K3NYEkXZuoljkRWYbrdbCfq9Xq/Sskl/M6Y9CUlUC50zrmMtTrDq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WLB5ZdfjvPPPx+/+MUvAAyKx3fu3IlVq1Zh8eLF2L59O2688UY89dRT43rf0f5whju+VISJEa1S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\nvo8Xpe4PK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PIkrAnhQktVu0keC6MirGY8j0IqN3Xq9XWUkwYpbNZuH1euH1ek3pROrVOH5W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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -474,7 +474,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": { "collapsed": false, "scrolled": false @@ -484,7 +484,7 @@ "data": { "image/png": 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amgqATqezcyaiPmtM88RsNhMfX87EiU6AgpY+2Twc/XeatSi4OkLJEyP+h76d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\nB6lknojakHkibqc+zZGcC6fYnbGdtCO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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -525,7 +525,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false @@ -535,7 +535,7 @@ "data": { "image/png": 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No9T5irvlsjs6CRcLzjZKL9lFq5kSc8slVldUjkSHpM5XbMtW2YMFB/CLC2kW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\nbN+KH2kN+tTP+nzvrqax24y9ZfuiyNnYkYWjeJX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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -578,7 +578,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -587,7 +587,7 @@ "data": { "image/png": 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nx54MlmVx4cKFse4MtypneOqpp9izZ89YOcOd6B4K4Y8NkZc9c2bDp5t02kJX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\nN0oTKRoz6Os3mZc/h/vml8nGFkJkmIR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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -626,22 +626,28 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { - "ename": "NameError", - "evalue": "name 'f' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[0;32m 24\u001b[0m \u001b[0mxs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mys\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mmultivariate_normal\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmean\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mmean\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcov\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mp\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0msize\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m5000\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mT\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 25\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 26\u001b[1;33m \u001b[0mplot_monte_carlo_mean\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mxs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mys\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mukf_mean\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'Unscented Mean'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 27\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mxlim\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m30\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m30\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m;\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mylim\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m90\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 28\u001b[0m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msubplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m121\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", - "\u001b[1;31mNameError\u001b[0m: name 'f' is not defined" + "name": "stdout", + "output_type": "stream", + "text": [ + "Difference in mean x=-0.097, y=0.549\n" ] + }, + { + "data": { + "image/png": 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+PZVfz9LTr5+ePaeTO5KybMZrAwMDA4P9H4YYNRByZaHVFXzIS1+PXjPIiVRJ\n4gFUh72orDh5jjKZDMLhMDweD4LBoFJxZHiM5yS3YUgrnU7b2iOPzXXpO0qlUvD5fIrsUPXhOZGI\nyZBYNpIi6yLJZYSccoTt47np3xO3kyqTk2HbkCMDAwOD/R+GGDUg8n1w1qYUOf0v08v1qtS6B0j3\nDDlVxebL6/WqeikkE6lUCrFYDKFQCAUFBaoGEQkWTc7JZFKl1JOYxGIxWJaFoqIieDweVck6FAoh\nkUigdevWioBZlqWm/JBkhSSJ04Z4vV5FpEiGnEgTayzRI0W1qrCwUIUHndLy5TXJ9h0aUmRgYGBw\nYMAQoyZGNs+Q/lmumkH6Q1war0kAnLaRYSuZNRYMBtX7eDyuwmucroMGbQC20BonhOVxfT4fEomE\nIlEMd7EN8Xgc8XjcNp1HKpVSZupUKmUr/uhyueDz+VR6fyaTUYqThAwbSqWN7Sb5kQbtVCoFy7JU\nKJDvZS0nQr43BMnAwMBg/0aj5Gy+/vrrOOecc9ClSxe43W48+uijNdaZP38+OnfujGAwiKFDh2LD\nhg2N0ZQGhe5RaYj9ZZu0Va+XI8NP9OLI7ViVmutKUHFJJpOK8MTjcUVKJJHgMoay4vE4KisrEQqF\nUFVVhWg0qogRlR1Wxq6qqkI4HFYhNpIZl8uF4uJitGrVShGgaDSKaDSKeDyuzN9MvweglCISKJnG\nrytpPL5lWUoh8vl8CAQCturciUQCkUhEGc7168hwn7zm8hobUmRgYGCw/6NRiFEoFMIxxxyDpUuX\nqpRxicWLF+Ouu+7C/fffj3Xr1qG0tBTDhw9XBQkPFFDp4UM9V4iNSo0+izyw54HNSVqp0khPktwf\nPTxyfyQxfM8Qlt/vV/6g3bt3Y8eOHSr1nsfgi4SGJEwSrVQqBbfbjWAwiIKCAsTjcVRVVSEWi9nU\nqIKCAgSDQQSDQfh8Pvh8Pni9XqRSKUVmnIzjJDvAnkwzvrgP/VrQRySrWMv3XEcawp2uuYGBgYHB\n/odGCaWNHDkSI0eOBABMmjSpxuf33HMP5syZg9GjRwMAli9fjtLSUqxatQpTp05tjCY1CXIpC/ko\nTdnW0UNhepjNaV2n91RrGDYLhUIqPMVQV2VlJTKZjCIxfr8f6XRakQ8SKWlcZvjJ6/Wq0BTJhEyN\np2rDbDN6nqgKMd1eFmt0u92qVACJG9dnkUid1ADVJnCeG5WgQCCg2stwHV8+n6/G95dPhpohSQYG\nBgb7D5rkGBOEAAAgAElEQVS8/OmmTZuwbds2DB8+XC3z+/046aSTsHbt2qZuToMhl7qQDVKpkKTB\nidjIAo3SeCw9RyRPTKeXYTr+LzPKIpEIIpFIjdAaVSyGwoA93xG9SLFYTB2DRIuqUywWQzgcRkVF\nBSoqKhAOh1XIjMdi9pesiSTbSjWKJuvCwkIEg0FFuuT1KywsRFFRkc17JMNksjq3JEPSeyT3p5cF\n4PdjKgUbGBi0FDzyyCNwu934+uuvm7sp+yWavLfftm0bXC4XysrKbMvLysqwbdu2pm5Ok0OSGAmS\nIr1oIVD9oKdBWJIdADafjyQYeno9zcVAtcma+6cKxNBVVVWVyiRjDSO/349MJoNoNIpwOKw8R2xb\nIpFAZWUlqqqqFGkiaLymehONRhVJkooWQ3zy+tBfxXAhCUwwGERRUVGN+dhkqE+GyvSaRySbuaAX\noTQwMNh77NixA9dddx2OPvpoFBcXo6ioCMcddxzmzJmDrVu3NnfzGgRbt27FggUL8OGHHzb4vvVB\nXTYsX75cDTDffPNNx3WOOOIIuN1unHLKKQ3dzH0WJiutgVCfOkbSL8OHebbihHLfuoJEUsV0dpmy\nT2JE9SedTqu5xlhjiO2lcsR14/E4CgoKUFJSApfLpVQlGrmdMr6IgoICRdhkgUZJXhKJhDq+NGzL\nKT306yBJij4ViOwsqC7J74JErT71pky4zGB/QEtIJHj//fcxcuRIVFVVYdy4cbjyyivhdrvx4Ycf\n4qGHHsLTTz+Njz/+uNna11DYsmULFixYgG7duuHYY49t1rYEAgGsWrUKgwYNsi1/55138MUXXyAQ\nCDRTy1ommpwYdejQAZZlYfv27ejSpYtavn37dnTo0KGpm9OgqK+3iIoIPUCAvRijJEbcp56hRcNz\nMplU5IrGZoa/ZCYZQ1SSOFH5IYkJhUI2EhKPx1Ub3W638uTI4zD1ndlm4XDYZgin6kPyRhJEQsai\nj0z7p4rENgPVk9fKVHu+5/VyGlHp5mu5bm0gMcv2GfdlYNCSUVmZwu7dGXTt6mum41di9OjRcLvd\neP/999GrVy/b57fccgsWL17cLG1raLQklXnUqFH405/+hKVLl6qoAQCsWrUKvXv3ti0zaIZQWrdu\n3dChQwe8/PLLalksFsPrr79eg80eKGB4SfqLnLKgZPhMzixPpYnqCbPBqAzRO0TCQl8QjxsOh5W5\nuqqqCjt37kQ0GlVkKxQK2Qo5kkTF43GlMoVCIUQiEXUsHpdEh54f7kOvu6QXoUwkEopcyesEVE90\nq2fz6SHGbGFLtsHUJzI40LBxYxqffpqpfcVGwrJly7B582YsWbKkBikCgJKSEixcuNC27KmnnkL/\n/v0RDAZx8MEHY/z48fjmm29s60yePBmBQADffPMNzjzzTJSUlKBz58649957AQDr16/HsGHDUFxc\njK5du2LlypW27Rlyeu211zB9+nS0b98erVq1woUXXojvvvvOtu5hhx2GKVOm1Gj7kCFDVDhqzZo1\nGDBgAFwuFyZPnqwGeTfeeKNaf+PGjRg7diwOPvhgBAIB9O3bF0899VSN/W7YsAGnnHIKgsEgDjnk\nENx88822frE2uFwujBs3Drt27cLf//53tTyTyeCJJ57A+PHjs5K4e++9F8ceeywCgQDKyspw6aWX\nYufOnbZ1nnvuOZx99tk45JBD4Pf7cdhhh2H27Nlq4m+C39GWLVswevRolJSUoLS0FLNmzWpRJBJo\nJGIUDofxwQcf4P/+7/+QyWTw9ddf44MPPlA/5pkzZ2Lx4sV4+umn8dFHH2Hy5MkoKSnBuHHjGqM5\ne41sD9e6bOP0Xv4FUIPkOJmqnXxIknSk02mEw2FFTKTZmqnz8hWJRFBZWYlwOIx4PK7M0gBU2jy3\np8LD4zJUxhpHkUgEwB51KZFIIBqNKmWKc7VFIhHlL6KviWqZNDqTtDl5huQ1AvaQRBIs6bXSIQ3r\ndfnu8kUuImZg0NywLAsbNgCvv+6u04O1IfHcc8/B7/djzJgxea2/cuVKjBkzBm63G4sWLcLll1+O\n559/HoMHD8auXbvUeuwvR40ahUMOOQR33HEHunfvjpkzZ+KRRx7B6aefjn79+uG2225D69atcfHF\nF+OLL76ocbwZM2bg3//+N+bNm4dp06bhmWeewYgRI2rUN3OCXN67d2/ceOONsCwL06ZNw8qVK7Fy\n5Uqcd955AID//ve/GDhwINavX49f/epXWLJkCQ4++GCMGTMGq1atUvvZvn07hgwZgg8//BBz5szB\n1VdfjZUrV+Kee+7J6/oRXbp0weDBg237fvnll/H9999j/PjxjttcdtlluPbaa3HCCSdg6dKlmDZt\nGp588kmccsopKusXAP7whz/A7/djxowZuPfee3HqqafirrvuwsUXX1zj+liWhdNPPx3t27fHnXfe\niSFDhmDJkiX43e9+V6fzaWw0Siht3bp1GDp0qPqhzJs3D/PmzcOkSZPw8MMPY/bs2YjFYpg+fTrK\ny8sxcOBAvPTSSygqKmqM5jQ66hpKcSJFcnZ6p3WkWiKXyTAYw04MaVGtoXeHCgzDVtLbA+zx4BQU\nFKjCiOw85TZyslb6iKgayYrWVJmKi4sRCARs4S1ZjJH7jEajtswymc7P9zJcRwLF5SSBcr4zPfzF\nCtoMBWYLfcpwplGSDPZVpNMZVFWl1ftUKoMVK7xYv96NKVPiaNOmuvsvKnKjoKDxwykbNmxAz549\nc5YcIVKpFGbNmoU+ffrgn//8pwrdDxs2DEOHDsWiRYtw2223qfWTySTGjRuH66+/HgBw0UUXoVOn\nTrj00kuxcuVKXHTRRWr7Xr164ZFHHrEpOMCefua1115TofajjjoKl1xyCR599FFHlSgbSktLMXLk\nSMydOxcnnHBCDfIxY8YMdOnSBevWrVMWgMsvvxwjRozAddddp9ZftGgRdu7ciX/961/o168fgD3K\nyxFHHJF3W4jx48fjmmuuQTQaRSAQwB//+EcMHDgQ3bp1q7Hu2rVr8bvf/Q4rVqzAz372M7X89NNP\nx+DBg/Hoo4/i0ksvBbAnHMdppQBg6tSpOOKII/Cb3/wGt99+Ozp37qw+SyaTuPDCC3HDDTcAAH7+\n85+jX79+eOihhzBt2rQ6n1NjoVEUo5NPPtn2QObr4YcfVuvMnTsXmzdvRiQSwerVq3HUUUc1RlMa\nHVKxcVIMalOKdFLlVPCRD3gZduI1pTpCguD1elVhRBKaeDyuvDgMeUWjUWV+ptconU6jsLAQfr/f\nRjZisRgqKytRUVGByspKNb9ZJBJBVVWVSs1nJlsoFFJzre3YsQPl5eWorKxUoTW+eG4kbVS6LMtS\nXiSuQ8WM58Pz1tPxZXFLgtdBhvLkX0IPrWULteWjCsnfglGRDJoDLhfwzTdJzJ5t4aST3BgyxItX\nX/Vg61Y3TjutECed5MakScAXXyRq31kDobKyEiUlJXmtu27dOmzfvh2XX365IkXAnudLv3798Ne/\n/rXGNpdccon6v3Xr1ujZsyf8fr8iRQDQo0cPtGnTxlExuuyyy2z9x8SJE9GmTRs8//zzebU5H5SX\nl+PVV1/FmDFjlHWBrxEjRmDz5s3YuHEjAOCFF15A//79FSkCgLZt22ZVeXJhzJgxSCQSeOaZZxCL\nxfDss89iwoQJjuv+7//+L0pKSnDaaafZ2tejRw+UlZVh9erVal2SIsuyUFlZiZ07d2LQoEHIZDJ4\n//33a+ybhIo48cQTHb+L5oTJSmtG6N4Y+T8f9E7qEkmRnnUm6/BIM7WePUZlif9z+g15TGmoZqVq\nhrBIvKhAycKLQPV8ZQydcRuqTSwKKYkNiZLL5YLf769BigCodH+qPel0WhWVpLqkkx0Sqmg0qmoe\nyVClvj5Devq+cpmvDQxaItxuN44+OoAbbkjg0UdTmDevEJa15ze8caMHU6cmcPXVGfTsGWyy33ar\nVq1QVVWV17pfffUVXC4XevToUeOz3r171/DjFBQU1CgD07p1a5tiIZeXl5fblrlcrhpKjMfjQbdu\n3fDll1/m1eZ88Nlnn8GyLMyfPx/z5s2r8bnL5cJ3332HI488El999RX69+9fYx2na1Ib2rZtixEj\nRuCPf/wjPB4PotEoLrzwQsd1N27ciKqqqhrXU7aPWL9+PWbNmoU1a9YoGwbXq6iosG3r9B21bdu2\nxnfR3DDEKAvyGeFznXxk4WwqUr7qkjwWCQZJAhUrfsbQVFVVFVwul1KEaLyWRm8SBKlCSX+Sy+VS\nhRmDwaBSqViLiGErhsFo4KbBmioOw3PcL31IbB8ni5WVs9PptC28xmvg8XiUekR1y+PxKDLlFAqT\nRSOzKUaEPF6udesaQjUwaGq4XC507erDlVcm8Pe/p/Hmm3v6qoMOyuC66zI4/HB/LXtoWPTu3Rv/\n/ve/kUql8uo364JsRVizZVzVV8XNdr9zoFYbOND75S9/iVGjRjmuc/TRR9erbbVh/PjxmDhxIioq\nKjBs2DAcdNBBWdt48MEH44knnnC8Tm3btgWwRwEcMmQISkpKcOutt6J79+4IBALYvHkzJk2aVMPL\ntq8UyjXEqAFQ3wejrg7J5SQPUhWSD2IWYpSKiyyQSJKTTCYRCoVUxprM5mLYimoR/TecaDaRSCiy\nwfnHAKiq2CQ+fJHMsD4SX9JILV8kaYFAQKlQPAZJmQSJjsfjQTgcRiqVUnPx8fpIopdIJBTRYvtz\nqUC5iI5RjAz2ZXz1VQb/+lcB+vdPo2PHDP7ylwJ89RVw+OFN246zzz4bb731Fv70pz/VmmzTtWtX\nWJaFTz75BMOGDbN99vHHH+Owww5r0LZZloWNGzfajpVOp7Fp0yYMGTJELWvbti12795dY/uvvvoK\n3bt3V++z9ReH/3DRvV5vrUUVu3btqsJqEp988knO7bLhnHPOgc/nw9q1a7F8+fKs63Xv3h2vvPIK\nBg4c6DjfKbF69Wrs2rULTz/9NAYPHqyWv/LKK/VqX0vBvkHfWgjq4hXJti5JDh/keqaZ9BHJaTz0\naT7oFwqFQmq/DBnFYjEAUNNo0JMjY+dUl1jFmun6VINkIciCggIUFRWpY3B6D7Y9Eomo1P1EIqFC\nZz6fTxEdqlSRSETN0ca50OSs91LN0sNtejYaiZQsXSDXA+yEyclTxGUy6y/bd5zrOzUeIoOWCsuy\n8OmnwHXXJfC//5vC735n4YEHYvjgA9QY0Tc2pk2bhk6dOuGaa65xLOJYVVWFX//61wCAn/zkJygr\nK8Nvf/tbWxbU66+/jnXr1uGss85q8Pbpx1q+fDl2796NM888Uy3r3r073n77bVum2vPPP1+jhACT\nifQwUfv27TF06FA8+OCD2LJlS4027NixQ/0/atQovPvuu1i3bp1atnPnTjz22GP1Or9AIIBly5Zh\n3rx5OPfcc7Oud+GFFyKdTtcwpwN7fjMkhnxe6ZnSd9555z49kDSKUZ4gWQHqnq2kh8Tkgx+ATeVx\n8hdR/aHqQ7UnFAqpEJJMya+srFTFEl0uF4LBoE2lISkpLCxUITGuL4/FCtdUoliniG3mBK/cnwxp\n8TxJwGQIjufNm4rFHGOxmM1ALT8rLCy0TaKbzQcE2As46vOyEfp2DEeSyBkY7C+Ix9M46qgURo3y\no6hoT5d/6aUZ/Oc/UezYkUJpadP95lu3bo1nnnkGZ5xxBvr27Yvx48ejf//+cLvd+Oijj/DYY4/h\noIMOwsKFC+H1enH77bdj0qRJGDx4MCZMmIDvvvsO9957Lw455BDMnj27Udo4dOhQjBs3Dps2bcJ9\n992HY489FhMnTlSfX3rppXjyyScxYsQIjB07Fp9//jlWrlxZw5/UvXt3tG3bFg888ACKiopQUlKC\no48+Gn369MEDDzyAwYMH49hjj8XUqVPRvXt3fPfdd3jnnXfw3//+F59++ikAYPbs2VixYgVGjBiB\nGTNmoKioCA8++CAOPfRQR9XKCfqgTWaZZcOJJ56IK664Arfffjs++OADjBgxAj6fDxs3bsRTTz2F\nm266CRMnTsSgQYNw0EEHYeLEibjyyitRUFCAJ598EuFwOK+2tVQYYlQP6D+0XAqD/r8ePiMZiUaj\nak4yPpwZ3opEIkin0wgEAmoZsCcbgOE2WRWaPiGSAxqspUFbkgwamWmmJqHyer2K0CQSCYRCIUU0\n5FQecp9Mhee2Xq8XsVhMFThjOQB+DkBlnLAApfQBSYVMkkkZFtOvLbfXX/l+t7WFzbKF3OT3vS+P\nlgz2LxQWunHUUUW236TX68aPfhRsFqWzX79++Oijj3DnnXfiueeew+OPPw7LstC9e3dMnToVM2bM\nUOtOmDABRUVFuPXWW3HdddchGAzizDPPxKJFi9CuXTvbfvOpLySXOSnI99xzD5588knceOONiMVi\nGD16NJYuXWrzDp122mlYsmQJlixZgl/+8pfo378//vrXv+Lqq6/WrrEXK1euxJw5czB9+nQkk0nM\nmzcPffr0QY8ePbBu3TosWLAAK1aswI4dO9C+fXscd9xxtgKXHTp0wGuvvYYrr7wSixcvxkEHHYTL\nL78cHTp0qJHdlQ359kX6evfeey/69euHZcuW4de//jW8Xi8OPfRQXHTRRSoE2LZtW/ztb3/DNddc\ng/nz56O4uBgXXHABLrvsMsdpUOryHTUnXFYLjwFIV3vr1q2b7LjZQiZ1XdfJXK1XZpZVnqnkcDkJ\nC7CHCDHERqLDMJkkI5FIxDaxK8kEl3E59xWNRlVIjbWM+ENlerxMdyfJAaD2HwwGbSZwErySkpIa\nBRxLSkpU3JrrUrUKBoMIBAIIBALqfOUUJH6/39ZJ6SSIxI01lQD7lCskcU5qE9UxmrS5rf6d1mbe\nzvZZZWWl+r8pf8sG+x5isZitNoxB42L58uWYMmUK3nrrLQwYMKC5m2NQC6LRKPx+v2M/2xCcwShG\nGurCE52UI6k2OJEiOfmrnAaD2WUMoUlvDZUioFoRIhg+k2Zsmqmj0agyRLPGEIkITdbSS8TaRvTu\nSOJF3xJT4z0ej81QLdP7+T8JTZs2bZS5WqbqS++PfC/nR+O1kyE1zpvG4wPVafactFZOIpstE01+\nV9x3tvAczweoDqWarDQDAwOD/Q+GGDUQpHdILzDopB7xvXywy0ldZc0egr4eKjMkEHzwMx2fywEo\npScajarq1QCUasSwG1+cI40kgyn13B8VGZIhqdQwdCaz3KhMkZCRUHH9goIC+P1+ZcSW04fQ80Ml\njGn6VI90w7QkXzppccpAy2XG1pFv9pqBgcG+iRYePDFoQhhilAdq8xRJ35D8XFeP6NshaDAGqr00\neniMoFGZClE4HLYRlsLCQiSTSWVgZuiI+/D7/Sr8lkwmUV5errw/VJYYMmN7pEpDL5OszM12AVBh\nuUAgoBQhqjjJZFL9leZrZq9JtYzXhAoN1R9uwyreJFkkTVS/WrVqpQzlvAaSxMksOV63fAkOCRez\nVmSNJQMDg30b5l42IAwxaiDIhzoA9fCU6pHMNnMyZsu0fCo7cn2SGhqnZa0ffianCKHvSGa9kQCV\nl5ersBmPS7WLqfeZTEZVoWZ7SEIkEfL7/UpJkmnzzHpj2It1k0pKStR2JEYyFEeSxDazHpIkfHoG\nGq9HrgJi+Rira/uOZXZiXUiVgYFBy8WkSZMwadKk5m6GQZ6oS0JNfdAsxGjBggVYsGCBbVmHDh0c\nazo0FfKRUfPJRpN+Ga4j/ShSXZJmbPleTo7KsBjnH6MK4/f7lUoiM9Hou6GZG4AiQ+FwWClOUkXh\nOiQhMmuNKhNT7XkO9DPJqUCk70dmrUlPFbCnvhIVH3qpGAJjuQFgj8pVXFysCJ30DpF4kiSRYHEd\n3UDNfadSKfh8PkVYs91c2cJlshSAIUUGBgYG+x+aTTHq1asX1qxZUyMks6/CKYyW6zNJiqTKQ2WG\nfhq5XKo2JD9UZKRiRGJDssOsMxZWlISFx6BKxbCWNImzLSQnMkTG45OEyKJn/E5JlkheZGo/lSZm\nGEhliQUq5fQgvH48z0AgYCsFwOuk1yPSRxj5kBpJjuT/3Hd9UvoNDAwMDFo2mo0Yeb1etG/fvkmO\nVV9TnRO5cdpfPt4iJx+STpCozFBtoZrCUJLP57ORKZIKALbsK5ntZVmWbdZ6Eij+5UtmusnZ610u\nFwKBgFKfZDVuqlUyhEbCw/VkdWvOhybDZLLMAD1DrBhLD48sOCm9WjxnEkMSLcuyaqQ6U+khgast\npCa9RMzik2G72n43TvO1GRgYGBjsHZrCJN9sxOiLL75A586d4fP5MHDgQNxyyy3o1q1bczWnBnIR\nIaf1dFJEk7UkRVKFkeB76achiZG+IHpoZNYZFRZZy4dhM6pAO3fuVPOKcX2SH0mamDnGfdMITqWI\nChBDWfQoyQrefNFwTbhcLkSjURVS4wSwJDAydMeQmMfjUZl0kgDJat88Dq+/Pj0Ijy2/i3xIi/QS\nNfRklwYGtYEDgn1dSTcwaGjwedCYaJYe//jjj8cjjzyCXr164bvvvsNNN92En/70p9iwYYOatXdv\nsDeMMh8SpL+XBRvlXydvEYkD1RWqLkC1X4YPZRIWkgXuh2SJ84pVVFSo4pCsOcQwGzO0aGjOZDIq\nNZ/74VQfnKme5EH6l2QmGDttWWxS1mCSypGsaeRyudSxAoGAOmeqPJL4kEhRFZLLZa0nkhySKqlK\nyesuPVXylQu6KpUvjA/JYG9RWFioijya35CBgf3Z19jFT5uFGI0YMcL2/vjjj0e3bt2wfPlyzJw5\nszmaVCfI7CZ+UU6kiA9H6aOShmWmx1MJojri8XiUkZqp6iQCQLVKxBCY9B/JCtayfpGsb8TJXklG\nSMg4JYckQyQu8Xgc0WhUVbQmeSMh8vv9KpzFlH1eHxIfqjnAHtZPtUqm3stJaxkalJ8D9lICTKGX\n3iZZ0JHtY1tozK4tjFaX0JkTzMPMYG/gcu2p3s7yGQYNB9lX5KMG1zbQlp+zj+bgjQNDp4GVtFbI\ngZwsdst9ch9y0KdD9nu5PI7yuLKtTlESWRJGZgPryUJcVw5cuY08DrfNNTjN1Xdy8NvY/WuLiBEE\ng0H06dMHGzdu3Kv9NHTsUf+R8xgkFSxWyJCS/LIkeaJRWlZy5nb047hcLpUiX1BQoOoUkXBUVVUh\nGo0qRQTY89APh8MIh8O2UFckEkFVVZXaP9tOlYgz2dPrw3NhO3neJDJyKhHe6ADUPmjEZoiMviSn\n0BVJjtyGN4/0WPHY8sbTvwNmoPE6O3UaMozG4+eT0s9tdOO1gUFTwe12m2lBGgFyyoji4uJa18/l\nKdV9ouzPZUIL+x7pGZUqtvRvUu2XBIB9tsfjQUlJiXrW8BnCJBQ+GzKZjMrsbd26ta1grrRy0CpA\nxV+2jW2Nx+MIhUJqjksOkoHqRBRO8A1AtYEDcc7nyb6U5Ep6YvVBrNME4U3d97YIYhSLxfDxxx+r\nielaAvhDAqpDKvImIBkCqh/4OoGSIR96ejjXF8mIvJmYWcXCh9LkzHVIZHjjhUIhlJeXqxtPr1cE\nwJYFxptVzsNGZcrlcqkbRE5KKwki96+bvaVyRqM1SRD3wx97QUEBfD6fzbxNgiTJjrzGiURCbScL\nQnJ7qnPSvC5vMjlPWm2Q+wOqOxBjpDYwMMgGSYA4aPR6vbaMX33wLNVs9rPyc6ley+eQ3pexz3N6\n/vD5wQG9VKO4TzmpN8+F60jfpox+kAQx6sDBs97HZlOGWvKAs1mI0axZs3DWWWfh0EMPxfbt23HT\nTTchEonUq8BWPp6gfC58PmoT1yGxIfuWX7z84RLyhuG60mAt5VOuT6M0CZFk4pFIBJFIRKlQ9CNR\nmaFqw3bqpIjnIr1GbBPbSGICVBMD3qQkTpLA8Kanp8nn8ylyxxdHQnKiWpm2z6lBZHkAjpp07xJV\nrHQ6jUAggKKiIrWcYTenSWNl8ct8oHck9UVLvPkNDAz2HrrKLKc2IimRSrt81tAGEYlEVEFd1lxj\n/yt9lNKfKpV4XYlp3bq1er6wz5dhQ0nK+F4qSmyj9JVyH3IGAzk7gf7M00mgPI5+rSgKZCNRTY1m\nIUbffvstxo8fjx07dqB9+/Y4/vjj8fbbb+OQQw5psGPIL6A+I31dNZD7Y/YWiYb+gwNQg/3zy9eP\nIUNg0uvD+kNVVVUqpEapNRwOK0M1f1DSZB2NRm0Eh3WJOP8aiRTXB2AbLbCoo5yLTE/XZ+iPx5CK\nEwmQzBaTNzXPlUSM+5XHlOST15wVuUmeZOafLHGQbdLYTCaDSCQCl8ulPEy5IMOAeqjUwMDAQA4W\n5XNADr4CgYDydXIbhrfoB5XTDLFOGvs/aQGQtd9ou5BEhpAhMV1tkm2XYT+q7brqxOcS12O/z3Pg\nnJdsI/t2GVFgm/X6chIthRQBzUSMHnvsseY4bF7IZkrTiU6uL9Epnssfhx5ik0SIRIyhLhmjZl0h\nGcMmUeBx5HYyREUSxOORJNG8zdAUz50EhSRH1vORapf0WvEceSPRIE51iIqZLCzJm0iG+jjCYjiR\nMWyXq3qSXGCPL62oqEiVC+DIQ5IkfQRDUqh3ELWB+5KjKy7X1zMwMDCQYKiMJIf9BPtwKkVUdzgL\ngPRwSmsD+yIO0GVUwSlSAcBxEMiBIr1FuvVBqv1yGQem0lvE4+XqA/nMoxggTdstDS3CY9QYkD+K\n+l546ScCYFMo+CPPFmbRZVPJzvkiE5duf44edu3ahWQyiUAgoOoN8XOqQrt370YkEgFQ7SOiuiOn\n7IhGozUKPJJgcDsSMBnrluZwtldmhsl6EvQz8YZhhhlvNDn9B29uWbdJH2nwestRSDAYVAROZrvx\n+5EKlPyupEoVDAZt4bVccOpYpHJo5kozMNj/kWsgJW0SQG5LhrQf6KEwn8+nBppSwdGjFtKLmi3T\nTRIvHlcf2HNdqcjLY+g19xjusyxLlXVhW3gu7FNJ8Gi+lkSvsrISBQUFKC4urtF3Og04nfrXpuhz\n9/0als8AACAASURBVFlilM+Iv7YRfq796Mv5I5IkhvuU5mT+lWEkMm2SDqlAyRg0U+JldoJUfVjw\nkMUb2SZms5EIyarWsl26CY/nonuIuB4A9R6ArbQA9+9k2uZNwNGFrAPEm11OCstj8BrwmgGwkU+f\nz6e8Q9yeRInZO7luGu6DZEkntbluTLluXW5MQ5wMDPZvyP5ET7Xn51RXqHxTQaL6IkNksoI/UE1W\nGCGgks7BLPch12XfCFRX7gdqDhgDgUCNSIFUinTCp3/GflsW6pWzGshXbWoS1fyWMOBs3PKRLQC8\n4DJUVBdQsgRg+7Fm279k4fwcqGbckUhEPdi5bPfu3aisrEQ4HEZFRYUq7EZfkSROVVVViEQi6odH\nds/50KgQhUIh27p8SZO3/GHzpiNx4nuOXEjUQqEQKisr1bEYauN5p9NpVWNJ3kySAHKf3G9VVRXC\n4bAqMxAKhRCJRFQNJhkalMqSlJRlzJ1kLNt34URwavud6KTXZKgZGDQdFixYUONB26lTJ9s68+fP\nR+fOnREMBjF06FBs2LChSdvI0BTDU5JY0BLAfoYWg6KiIjVYY19OQzP7d6niSC+T3k9JpYkDZdkH\nUl3n50B17SO9/+Pglf5UoDoVn15VPsOA6nkxeW5U+2W/6fP50Lp167z8nc2NfVYx0pFLFdpbyBFB\nPm3QH8ZSbeJ+YrGYqgLNBz5/tADU5KgkJFSJZAHGaDSqRg0cZZBsRCIRW40gmbUmCZFcrntpdNM1\nt9FjybFYzLY9JWOm7MubQGa1yRdJG28oZrVx5CNHHfp2MjQmC1bKERWPDVSHwJxIbjZVyOkzQ4wM\nDJoOuSYeX7x4Me666y4sX74cPXr0wIIFCzB8+HB8+umnau7FpgSJhkxEYf/o5IFkv0fC4fF4EA6H\nlapE6CZnpxIATn9p0KaKxM+clCD5LJXL+IyR6zv5hdh/SwM2P8tGiGQ/3RL61f2CGMkvXB/J19Vr\nlE0tkKExfT3+6OTDVsqNVH1kWiXJDuOtlFYpSZIQ0TjNF49HYkRDMvcpFRagmojIwmEkDTILjD9y\n/nhlHFwnTHIOJxb8knU6dLLCa8jK0/KmkZW0mbJPn5LM0KCZOxAIKA8Tr5M0IsoQmSSjTkSH10F+\nl0YJMjBomcg18fg999yDOXPmYPTo0QCA5cuXo7S0FKtWrcLUqVObpH30MOYaQEu7giR47C+p1Eh7\nBp8hgH1QJ32P7PNyZc/K6IfcTpInORDmMr1/ZDkBzlIgjylJmx5irG3ev5bU7+4XxKg25EuIJMHK\nNhGpE7OWWVtyHSmN8kYgQfB4PGoeJDkvWlFREZLJJCorK22xaK/Xq+LK8qEuq1I7xYdlHQvecLLA\nIyELN+qyLrflerwe3B8Ji9wXVR7pO+J+/X6/8gtxfVmBm0SURmmSOelVAmAzIkoztlSuZJ0pOfKi\nZMwbN1c6qewYnH5L+S4zMDCoP7JNPL5p0yZs27YNw4cPV+v6/X6cdNJJWLt2bZMRI8A+36WczklX\nYvT+gX2ezBBu1aqVTammWgSgBnHKpkIR2VQg+ayQg3rpleJ7vS6ck1Ag28v3MiqS7fxbGvYLYlRX\nVag+0GVH/nhZjFA+1HW1SM6BRvOdZVkIBAI2o7SsTyFjyzIeDMAW95Vp/VSAZBkA6YsiuZEhO67L\nUJ7MNJNzoZEQSbWIxRSloZnSKt9LbxGP5/P5bGY9l8ulPFXSbM0YNws9sgCkJHoyRk9IhSsbueV7\nPevMSVliG6hutfSb2sBgf4PTxOODBg3C+vXrsW3bNrhcLpSVldm2KSsrw5YtW5qkffL5QJAMsI8n\ngQkGgzX6d52UELJgrey/ZEiMMw0UFRXZklrYBklw9P+B6vIybJ/+nvaMRCKBwsJCFBcXq76Qx+cx\nZYivtuvTkrFfECOgYQiRDJk5KUROcFKQ5HKqFnyY69NwSELFIo3SLC0ngiUZo5dIhul4bEmGZCo+\nP5M3qSQrJDA6iZNhMUn4ZDFKSUplOj7BZbJcPs+BJQmKi4tVmKywsFDNscNOg4UZSYLoY2IqKA3Z\nkpRlG5lwW7YZQA1iLckT/+4LIx0Dg/0RuSYeHzhwYDO1ag/kQFmflDYbYZKfSVIkfaBMnAkGg2qQ\n6Ha74fP5FHnhuhyAU6niAI59Jde3LKtGCQCnKINO3NhvcxueA0kTj8nBvSRmDL3RVJ6rD20p/et+\nQ4waEvoP16mOkcwMIMGRjJw/JBbs4shBenb4g5MhMYbVnJbLYotAdbVq3lg6EeJ5kDzJ0Jyso0ES\nJskKCSLPT5Ibno+8RnK/3KcMT3I0wek7pCmb7eZEicFgUClDstiky+VCmzZtFCGScWw9ru1EZLJJ\n2bJDYqchjdqFhYWqvS3lxjUwOJAhJx4/55xzYFkWtm/fji5duqh1tm/fjg4dOjRbG/nsoPKi10KT\nBEQOPFOpFEKhEEKhkEpCoUdUepC4XSAQULWFaKlgX08jNI/Lv7qCxME7jyNrD9HiIftsWcKFzzjO\nBqFnb++LA8qWnTPXiKhN2sulAulxVDkLPcmQU9yWhRr546MKpGeLAdU/JsqoMkWcHiGqSUydZ1YX\nq0FLps8Ueh5PkiMuo9IjtwVgayNvIundodrFNvFmkTcvVRrOAs0bNhAIqFmbOf+bNO3JG0/WRKI3\nS6/V5BQ64770dPxs4Tan+L8c6eyLN7qBwf4ETjzeqVMndOvWDR06dMDLL79s+/z111/HoEGDGrUd\n7EucSniwz2G/6FTuxWl/skSL7KNJnkKhkCJJJEr0WgYCAZvXlX8ZDZEDeqdnnF56hoNx2h1IfsLh\nMEKhkBqo6yq+BI+9LyW2GMUoC2Qcl1+00zQfToZn6eh38gtJyZIsXZIoWURSqlYyhEVliZlrsn4P\nC4bxppI3mZRK3W43br7kEvzE64UF4N1EArOXLVMlAZyULcqiJDwAbDcH98tRB2PSJEUul0tJrzI0\nxky0YDBoM21TRvb7/QgEAjaCQjLI/ZIAOSk7ToSW7508avqEhvq2BgYGTYdsE49PnDgRADBz5kzc\neuut6NmzJ4488kgsXLgQJSUlGDduXKO1ST4j9NntAbuhmuvL5TIZRoasWOSXRIYDXfa9oVBIZTM7\nZWFLIuJklGZb9ME7UJ1VpmejZes7aTDncak8kchJj1O2/lO3LbQEGGKUB7I9ZPlglr4aGTrS47Ye\nj0fVJ5IKi1Rr6MMhOaHiw3gzP9On65DhMIbN6GXij59KFn1Ot112GSauXImCr78GAPTp2hXWtGmY\nuXSpujFIUEiG5GSIJDMAbOEyWSaehI3GQH2Uoo92fD6fLcTG9H1ZC4TfiXyxrU4poTJUJkmtNAjq\nZsFsZuxcv4uWdGMbGOxPqG3i8dmzZyMWi2H69OkoLy/HwIED8dJLLzVLDSOCxMEpkUZXqxlpkANt\nDiZJPti38hnCfo8DXzlRuT6o04kR2yIH+yQwckJuqf6w7Trp0omUTCSStYyk74lg+/kMaClqfLMS\no//3//4f7rjjDmzduhV9+vTB3XffjcGDBzfJsWtjqVJF4PpUgEiIJPEJhULqy5f7Z70hOW8YKztL\nMiXfk3GTxOghsGg0agvZSbIjQ2ehUEgRI5IwqSL9xOtVpAgACr76CgN9Ptx95ZUY8ENc+u1YDDOX\nLrUZtYHq+ha8WePxuMoQ4wSwvCkYdiO5KSgosNVr4mSwvBl13xLXk98LbyTeTCSKNG7LUJ8c7TAE\nx/04kd6WcGMaGBhUI5+Jx+fOnYu5c+c2QWv2QD4jclkz9GeNU3RBDkKLiorUVB2MFtAnxM9l39Yu\nEkHBe+/lVmXYZq1NRKpfP2wvLER5eTk8Hg9KSkpsRXf53NBVMPbRjFLI/laPcLBOnZ5F3BLRbMTo\niSeewMyZM7Fs2TIMGjQI999/P0aOHIn//ve/NgNdNsgfWV0hJdBccU8naVSuK83YJB/8wZAFkzTE\n43FlKKZvhiqGNFy73W5FfAAgGo2qKtbSkK3XIZKzxlMxkmSI5MrJ/yRR2rYtLr7rLruKdOWV+MUd\nd6h1pFGQRSMpCzN8RlnV5/PZbnoZB+d104tDMi1U1jQiwSNINNlJJJNJVUlcZqexvbraJL9T+bvQ\nq2PrvwcDAwMDQu8/JEhqpJlZJuXoGbzsM2WV6nA4rAbE7EulouNyuRD3eND6t79Fwbvv1uscUgMG\n4Ps//EFFHeTMARxky8KNPC+qRXJAK4tUyrAe19GvlSRaLal/bTbz9V133YUpU6ZgypQp6NmzJ5Yu\nXYqOHTvigQceaK4mZYUe/pHmY6C64qnf71chMhnCIhngNrKisz7XDEmNnAyWCo8078n0dNb3AWAr\nKClHJDwWf/CZTAbvJhJIde2qPk917Qrr4INrqEjH/6DuEDwPqWTpRkCpEDG0RnKkp9XzGtO8J5Ul\nKk7FxcUoLi5W56rfSCwImY3oSula7ru271xub2BgYFBfkBTJUiscvOp+HhmZ4KCTA2zdUhH2+RCa\nPTvrccM/Ph7hH2UvaRC+7jpEfyiP0qpVK5SUlChPE8sEMClG2iEA2OZU47OOzzcZavP5fCrbGLCb\nvFtK+EyiWRSjZDKJ9957D7NmzbItP+2007B27dpGO65uMgNyP/ByqVF6bJb7k8qOJFJAdaVmglVO\n6QXS5yIjyyZZ4nH48JcqCokKyRSXyek9ZJgqkUggAyAxeTJSDJN5PHDt2pXzGkq1SF5LKkX6/Dgy\nFi7DX7LsPaf/IOHk/jhJYTqdtk0FwptWXmeGMfXJC/XvMttNKEmTVI70aUa4roGBgUEuSHMy1XX2\n0RwIs1+ht5RkiZloLteebDBGGthP0bvEvqmye3cU9+/vqBptHPULuGDhuP97p8ZnyQEDEO7RQ/Xp\nUhWSg0gawuWUTXyuURVjEV4+dzgAJlqaKpQLzUKMduzYgXQ67Vip9NVXX22SNtT3CyLJkP/H43FV\nhJE/CClJyhgrsw4YLuOs8hwFSAOeTOOXShHDPLIIJNUkaWqWszlz2a1Tp6L/DySutGdPBC65BC5R\nG6l8xQoku3ZFwVdfAQCSXbvirR/8PWwLCR6lX1n7RxII6ROSZId1gbg+98FrSQM2b36G1iRhlDcZ\nj6OXrJefyxBZru+/rssNDAwMgJrWCy5j8goJkfyfyor0VTLUJidolQNtadtQvtXCQoRmzULbsWNt\nx7dcLnzi7g0XgGNdLri09kV+UItkVERviyw5ANjnBtWfA7rFhc8frstrwnX1rLmW0s8eEFlpuZSf\nuniU+IOUISGZlSZT3FmA0OmHRoUIsBdh5Ez3UqVgCju3B6rVKln0UZqveSNS+iSxWvzzn2PSqlUq\nVJbu2hXxq66CX/iHvvvsM/xlzBgVPnsrFsMvly51vBZMn+d7kjoely8qQrJadiaTUaMOGXKUNwtL\nGbhcLhQXF9co6CiLPPLayGsnr6/8P5vHiO+lqTJXuM3AwMBAh06Q0um0ql/HMJM0KMvQmfRIUmni\n80QOjiW4j6ojj6yhGsUGDsLj7xwJl8vCWQN+isA7b6rPkgMGoLJ7d5s3FrAP+Bmp4EwE7Bc5mG/V\nqpUKn0nvEwtDcjn3K69RtoFrSyBHzUKMDj74YHg8Hmzfvt22vDkrlZK86D9qnUXzS5cmOcBu4pZT\nX1DJIAFghhqrPAPVnh0WYZQFDOXIIpFIKKWJxR1jsZhNOZIMnzcb//9JQYHNP+T56iskSkrU+2TX\nrngrHMYVgijVBkqvUl6l/BoMBlUKPm+QRCKhbiTdqMdwmZxgltVb9fRQp5c0D5Io8UarayporlCc\ngYGBQS7wOcKHPtUWOaCOxWKIRqM25UeG8wH7JKysY8TUfJ04xQoLUXnTLahoczjeeK4KmTQQd/nw\ntztbAQAeveb38A2Nw+0BTjyrBCW7v0CV1wuIKIMcqEuPKovy8r0+tQf7Vhkd4XONtY3ymRKkpaBZ\niFFBQQH69euHl19+Geeff75a/vLLL2PMmDF57SNfpSfbejr5kdN+yB81P3eq+aB7d/i/XgBSgiSF\nZmoZi5XZV9FoVH2uTwlCwsR1Zd0foHp2eypQ3LZG1kRhIaK9eyN+990AgC/btMGvpk/P67oCsM3N\nI8+B2WgylVVmL7BQpN/vRzAYVASKhInbUkWS6fxSNZJEhwZvCekNqo0UOSlH6jpZubMY94Ub3cDA\noGkhfTsyxV73eqbTaaXIsK/hAC8ejyMcDquBpnwucT+yb4t1KkPp/OvR8fircPHdA7B5S/Uj/rJb\ne6FzpxT+MPNfaH/7Inw/51qbmiNf9Dk5qew8HzmZOM+B27LeEkOF8px1SIW+pfSlzRZKu/rqqzFx\n4kT0798fgwYNwgMPPICtW7di2rRpDXaMuoTJskGGz+QDniExEiYZPpJmY8n4qWgUFBSgTZs2ikiR\n4LCCczgctqlFMowmRxxUSnhj0JTM6Ulkmn4ikcDbsRiOFv6h6Jw5aHXttfCK1PzbLrvMlppf2/Wl\neibJJMkjiRoJC2sXSZXI5/OhpKRE1engtZY3iDR0y5GJhB63liSRZkWuZ2BgYNAYIPGRWWX6FE0E\nbRLxeBxA9STf0mhN/6rcD/cViUTgdrtRUlKi+sRQYSGC4y7AsP85FS/NfwSn3z8G33yzpy889NAM\nXvzFU+g1dzLKV6zAbrcbAau6QKQkWtFoFKFQSM1d6XK5bBYI2Q/r/TWvg+yzpWqke0S5fktCsxGj\nsWPHYteuXbj55puxdetWHH300XjhhRdUJdO6QoY66kKIZChMLtPZrYzzyh89j0cSI536DHMxtCNN\n0AytsX4RMxb02Kus/yNlTunn0VPy+TnJGJWnmUuXAlddpfxDZW3aoFMtqflOkISMxRoZ6pKFIElI\nSJL8fj+Ki4tt14nrkQjKMgZM7+RoSt5MMh7PdFD5udONluszfR19mSFWBgYGtYGKj0yYkf25/kyR\n5msWsZWDYV0xl35VJvtwQM19Vhx+OIqPOQbYtRs7drhQWLjnmDt2uGDtLEfq2GNR1b27TdHXSZuu\nHgF7iBtrGrVq1QqBQECtKyEHvvJcZahNJhG1RDSrs/Syyy7DF198gWg0infffbfeE/7xYuv1IOqC\nbF8QCZGsW8QQD6e7YAoja1TIH5okAWwbSRJ/3GTnJFJer1fVPQKqyYMkRjRwS1mVNZTkVCMkC/zs\nF3fcgb4LF6LvwoXYvnNnva4VRy/BYBCtW7dGq1atUFRUpCpOy4rXTOFkuI0kStZ24jnIlH+Px6O2\ndVKLGIp0+u5kJ8EMuIa4AVvqTWxgcCDh1ltvhdvtxlVXXWVbPn/+fHTu3BnBYBBDhw7Fhg0bmqmF\neyAzteQzis8GJuPI0iB65i6nU5LlTOT+WfJFRjUifj+qZs3Cp/5j0L1rHKsXvorVC1/F4YfGsTF4\nLEKzZyMqiuzqdebYFs5xyf6Z/bo0Z4fDYRU5kXAigdkmkuX+nKIA+vum6oP3yay0vQ2ROW0v/URO\nXypQHVZjqIg/Dnp5+Jms3aBLiVRw6KGJx+MIhUKKRcv9UIGht0iG3pwmhpXmaz0O7XTOemhNT83P\nBc77Jv1BJIwkRSST9A5xPRrzSkpKVEdAX5FUoUiaeG7SQM3RBkdcevq+JEe5SG++MKTIwKD58fbb\nb+PBBx/EcccdZ1u+ePFi3HXXXVi+fDl69OiBBQsWYPjw4fj000+bdL409vUy5V73q9L/yb/s/+RM\nBrJoIlA9k4KsXyRJl1R8XC4Xwr37oNjTFk/vugfdr7seAPD0L27Bl8dNRLhHW9UWmVDE7aXiFQ6H\nldrP5x4VIULuB6ie900Oktku3f4hzdp8TrSEvnafI0b5mLfyMVzL9/pfp/X1H7ceYwWg1A62Q39Y\nkzgwQ4uhI2Yb8AdKjxEAZcSORCJqv3JaD4bg+CJRY4iNxMoJemgtW2q+0/Vm9pg02PF74AhHn4yQ\nqao0XtOQSPWJoxHOp8ObSC9vIOt7SD8RbzLZaeSCE/mVy/VlLeGGNTA4UFFRUYEJEybgD3/4A+bP\nn2/77J577sGcOXMwevRoAMDy5ctRWlqKVatWYerUqU3aTtnnA7B5jaTdgMhk9sy1yXptbrdbKf/8\nP5lM2mZPAOwZwVLJcblcqEAAR/n+i073XaeOc8R91yE4cgB2uw6Dy4rZRAD21YlEAqFQyFaPj8qW\nHJRbloWSkhIUFhaqZxDbq6tHErpZvKVinyNG2SDjrzqcCA+/ICdypO9H/i/rS8jP+MBniIysmmoH\nyQ5DQyQrnCxw586diEQi6uFOUzMVEymVSpOcLAhGZYmZaAw5ZQNDa7VB1q/gRK1UikhKSHyKi4vV\nDUxyxJtOhhULCwsds9l4jXkDOilC/L7rUknViexkW09moOWqY9TSb24Dg/0JP//5zzF27FicfPLJ\ntuWbNm3Ctm3bMHz4cLXM7/fjpJNOwtq1axuVGNXF08o+i2o35xuTWcjs+/RpQ1KplE1V4jacLomo\n7hPDSHRsg6Soa5QcMADxslawrAgsy/6sKygoUM+QWCwGr9er7BF8htD0nUqlEA6H1WSz8tlLczUH\nzPrgUibDSPVfvm8J2G+IkY5sD0I++PhjkHBiujIkJcNoJCh8gMtig5IV62E4j8ejahFJxi+nyigs\nLFQKEv9KIzUVI/2hLePF3I4P+b0BPU8kOFR7GO4iUSoqKkJRUZFSa/x+v/JfkSTK+hY8B6kqSTM7\nrzWPw5GKNF3r36/8HuT3ylBlQ/mNDAwMmg4PPvggvvjiCzz22GM1Ptu2bRtcLpfjTApbtmxpqiYC\nsA+6+ZLTfchwVSgUArCnRhD7Nk44K6cRsSxLZe3KDLZIJIJAIKDIi7QWJJNJhFIplFx7LQ668EIA\nQOW116Lc5ULBD22QpWb4ns849sFymiZZk4/g+XEdqk+yoK8UIZyUd/1Z2RKwXxEjydzlqD/fbSl5\n6g9PXUXSSZL0vvAm0BUlPshptua6JFYkEqwHoU8mK8+LREmfpVkP3TnVLqorJGkLBoOKCHFEQHNg\nUVGRukl5U9CDBNiN1fQQydEWSR4zM4qLi9W1lTU+eMMybVSC37lcLk2P+vpO0MOyBgYGzYtPP/0U\nN9xwA958880WWYlePh/0WndAdT/CvpwDQWl2BqrT9dlnptP/v72rj46zqtPPTL4nM5kktElK27R0\nbSlQUCxfpWuhaJbtQqUev7arreiCrAq29SgLKKXlw5565HTVo4DsqtUVhLOuuq6A7bqFFloOh0oV\nyvdSRK0JKG2T+UyavPtHeW6e9+adySSZfEx6n3PmZPLOO/e9M3Pfe5/7+z2/36/XeBG4MeX8qJYW\nbhbZB+qQ+vr68OasWag7+2wgFELnnDkDxNMkYly3aO2xa7nxuZYx4RxO8qQ5+VTQTQ8K21J34ETF\npCFG6gLRKDD7h9XX9b3aBgeXtqHmRPp8udjrAk+CpNYnWnDUCkIyxQHKCLZMJmN2BXQ9VVZW+sL9\n2R/eaLTE8H9eb6Tg4GcSRrrGNPqsqqrKkCISJjvyjGSJ4mvVG9HFpkJzWpp4A6qeCICvLhq/88HA\n69ou16CJdqLftA4OxxP27NmDv/zlLzj11FPNsd7eXuzcuRN33nknnnnmGXieh46ODsyYMcOcMxaV\nFHTNsINu+LqC6wKtMZz3KisrEY/HDRHSDSDQX42eEotIJGJeSyaTAI5Znvhezs9/PnoUjZ//PBAK\noaOnB3hrg8g1JJvNmvkUgBFZs49093HdoyvQ8zxjHFBjgIbpk4BxY5/Lyj8RMWmIkYK7/lyC2Vza\nIi7C6g7ja/o/27dTqOtfvk8j1zQcX6PUyNwrKirMObwOLSzMJaGuJl5PBzmvU6gLzfaR0+UFwGSh\n1nB7PvgZeA53LyRDDC+l1YgTAMkVd0s0EbPNWCxmiJeaV/mcOy4tEcLXSXjtSUnrnqkgEpg4tXkc\nHByC8b73vQ9nn32279jll1+OefPm4Ytf/CLmzZuHlpYWbN++HQsXLgRwzPK8a9cu3H777aPWL3vu\n1HUHGBjcUVZWhlQqZaw73OxxzbALaXP+VMuRurJ0k8fjtv61u7sb7S0tKK+oQCKRgOd5JmEj52A7\nck77HmREoDSB3g09xyZ1nNcpY8iV32iiYdIQo5G4QOgay2az5ofUQafmUXWXMcxQEy1yMNht8zj7\nRguSCqZVE8T27KyktmVKtUcU7dmkKJ9AUKvca7g8rUEkOfxeNPS+srIS0WgUtbW1hjiRHGnJD5p2\neQ26DEOhkI8YcTLgzoIhqhruCcB3jFBhn2a9BnKTn+HekBPxRnZwmKyoq6vzWYsAoLa2Fo2NjTjl\nlFMAAGvXrsWmTZtw8sknY+7cubj11lsRi8WwcuXKUe0bN2T2JtwmRfYmjxYfzvmZTMYkBc5msyaY\nh3pTEiNKDIB+C4xeQwNzeM7hUAjlbxEnWxaiZEo1R5okmOsH53FNWszPT+u+Zu/2vP7ItaAAmomM\nSUOMgOAFy/bz8pg9kGk2ZFItm0gEMdu+vmNp2fv6+ky5Cx14bJPmSNa6SaVS5ngmkzFsP51Om3Bz\nWjd0kLEfKvLmjRXE9vV/vTk5+NkOM5jys5PAqRWIf6k14o2r7j4Nz2e6+ng8bm4MfS81QipM1No8\nJKHcmTDSLUgnFPTZcwn9+B06HZGDQ+nCvm+vvfZaZDIZXH311Th06BDOPfdcbNu2bdRzGKm+x7ac\nBPWZlm5unjm3c67SSF7Oh1opgZtWzVlkb5B5XKOJAZh5HugXXlOioZogrlGpVMoXmatpZrjB5dzO\na2oyYm6kS4kQEZOKGNlQa48mw1LhtP6oXPgBGNcVj3GgqwWIA4/t81oUPqfTaWOFUkuR5heiQFpD\n2vVGUWZP6wpvGAqxeaPRvcW0AYTqdEKhkGH1JBoc3BRS86Yi2eF5/KvmU2qb1CrD13gTq5mXibz4\nGq1MtIqpv579UtciPzeJm34f+ntygsgl9BvsRi21G9nB4XjC//7v/w44tn79eqxfv37M+2JbOZZv\naAAAIABJREFU5DmPqffAtvTzWHd3N9LptG8N4BoB9GsgNVRe3WBKTLiRVisPCZNG5Gr/1DrENYOW\nH3ozOFdznWNfNBO3yhZUckHCpV6UUsCkJkY21JqjwjEARu9Cc6Mt5NaFkqZPMmK+h4RDdUAkWNXV\n1Ub/w5uApEOJFhNmcRdCixFdTQDMDcRs0CRZtAIxWoA3l1pySI40DJPESWueaTSaJharqqoy0Wn8\nHNzN8HuirkjdarzheQ5vLlt3xHO5e1GXJtBPTINC79WSxusUm+A4wuTg4ECotILrCq1AGlEcpGlV\neYSWd+IcplacIB0P2+AxXkut7brBV+E3yRI3nixUy7WCGagZCKTuMPZF51uuYazbxtd4nFpU+7sL\nej4RMC7E6MILL8TOnTvN/6FQCB/+8Idxzz33FPU6KoZTBm0Ls9W1AsCYLAF/NmVbY2QL6Pi6qvC1\nWrzeCFzYGQXQ09NjWDldbWxTdyNabJZWJA50kh2SFTXTalskK5rzRwmMWpfoRuPNQH0Rz2UGbH4+\nnq9ZrjWFvGqVNIqOn6m2ttaYa+lO5M1JbRIAk9dICZJqkNTlpuZdHRv6PMjlGjSeHBwcjm+oxYf/\n25YYRogpcdH6jtxcA8dcXCwrFYlEfEE4mkLGzpPHNjm3ar47lWJo9JvmuOO6xTlVLfS6JnLtoAch\nSLTN9YrrGfsy3O+20OOjhXEhRqFQCJ/4xCewadMmM7jU/1nsa9mwF06ep5YJdanRMsPzWNdLmTtJ\nAsty8Dp0a3Hh10FM4kLiQIGdEh3m8KH1KZPJIJ1O+8TObF/1OraImwNVM1FruDwZPQmPiqA17xDD\n72m+raysRCwWM+SObrHu7m5f/iFapNSSpmH6miRTTbG6ewL8bjPVTgUlu+QNq3V4gjJoq4XQRak5\nODgMB7rp5jzD+UwtP3RTUWbBTanmOWJ7mr8N6CdYOsczDQqhAmzOZ7pZV0s821Iht4beq0eF1+cm\nnuucek4AGG+MneC3lObVcXOlRSIRTJ06ddSvo8RFLQNBA47snKCvVf2/bEtdQfagBWAWbkYVqJVI\nRWokBX19faZSMUmbWpmYMLGmpsbsEmgxYm6Lo0ePmuSQFMjxBtVdgVqbOKh5rqYs0EgyLfOh0Qn8\nG4vFzHdAN6PmedLJQXMZkRTa0WhMgV9dXW3SznPi0e9PNUS21ccmrvlQSjetg4PDxILqMm2LCecu\nlQkA/RFhjG4G/MmDORfTS8A1hR4Fnp/NZk1KFNUd6ZrH+pl2slxGJdOSxNd4TGUQKnvgPB0KhYyV\nKygxMoABm9FSwLgRox/96Ee499570dzcjGXLluGmm27y1XwpBmytkE2O7AXVBgczyYv+wHwPWT4H\nOPUvAHyaGrZFkkRTaldXFwD4IrRIFChsBo4Nrkgkgng87hPZ0XWVTqd9qQb05gP87iRaiOjyIkHi\ndUi+ksmkCcsnydHBb/eT1qKKigrEYjFEo1GflSaVShl3WTQa9RXdpfaKbauJmH/5G9iaJv2tddem\nVZs1ukJ/X/4dLEqt1G5sBweHsYc9p5AkaaCMrkUkGLTC9PX1GTF2eXk5MpkMjhw5gt7eXtTW1qK8\nvNxoUGtqagKF07q5Bfz6I86hQL9liMSJG3mNbrM3ogAMEWIf1fAA9LvkSLBsfZQta5iIGBdi9JGP\nfASzZs3CiSeeiP379+O6667D008/jYceemjUrplLU0JohBngT3BFxh7EiEmMOBC4C1AtjGYTBeDz\nNdPPS/G35kdSHzUHE60ottmV52g0AAc6GT/7w5uTpIgDXX3JDOGsqakx9c/4PtUfRaNRX5Iy5i5i\nWnm92ZkQjN+dhq2qG40WJTtTqhIy3vg22eWNTvciv+PBdET2NYLGjYODg0MuqAfCnpeCzlV5hZ7H\nNYAbba4XmUzGlzaF3ggtE0USZBMQzc1nRwDTo6Dkrbe3F4lEAuFwGHV1dQiHw8ZSxUhmGg14zP78\nXL/YJj+vLcKeiCgaMbrxxhtx22235Xw9FAphx44dWLJkCa644gpz/LTTTsOcOXNwzjnnYN++fXjH\nO96R9zr5BlvQuWoJCHqfHstFevItmkEZmAnVBulAAY4N1Lq6OpSVlZlM1cxcbZMibZd+Y/VJk7DQ\n5cddA/umOwYSEZbv0CSOStY0ZxFJjrZJAkWrEM20anqlzoh9r66uNp9ZdzZ2uzYBs91oesMHWX3s\n74mfWcP8bULp4ODgMFxwvVAriobsc+NJAsLz1KrDuYl6W1qRuGHmOqJWHK4RKrnQDaW9ebSj2Gwt\nEQmWbnYBv2aTcg9ammi90jWJ8zfXskgkMiDNykRG0YjRunXrsGrVqrzntLa2Bh5fuHAhysrK8NJL\nLw1KjIChk6NcsF1t2jbfp0JtmzipcFrDLT3P82W0ZvSBmk01j5DN8jU6gK4gCrKVjNGNxcSR6qfm\neUwHwM+lVhm60mh9YXvAwHIgJFg8TwV3mvma+ZuUEFH4zJterUIkSHzo9x5Egmx3mL0z0uLBQecP\nZXw4ODg4DAVqNVEoOeH8z7VDw+q53mi1g4qKClPTTCUCOg+zbAitP5pjSOfBoPlOC9Ay4TDz1QEw\ngTIsT6Kia26Igf6kkWyPMgpel+cPNidPBBSNGDU2NqKxsXFY7/3tb3+L3t5eTJs2rVjdAVA4geKg\n0MUf6I9Ms0Xa9m5AdwskP4xmU92PtquRYnRrceDR3MhrMc9EJpMZYAFTETWtU8xJoYNUReNM5Kju\nLn4O7Y/WQWMbfC0ajfqSMOo16D5kRAJvbtuNZj+Afh+4uspI+nS3ocnObBen+u/5P4BAguvg4OAw\nUnDe42aY874GgHAN4aZUXfy6oaP3gCJsTYLLTThdberSIlmiUJo5lQD4rqduNdU/MVqOGk4G9eiG\nnZaqZDJpCoiHw2FTyUHz33Fd0pQ2pTL3jjl1e+WVV3DLLbdg7969+N3vfocHHngAK1euxMKFC7F4\n8eJB35+LkedCvh9C3S8aXUZoiGJQPwg1afb09CCZTPosSKxOz5uFhIQDVxdy3jT8qz5l1Q5pxmyN\nWGM4Pd1HqnXiQK6rq0NdXR1qa2tRXV1tLEPUG8ViMaM70rBTTWHAMh1a9LWyshKNjY1oaWlBPB73\n9UXJkLrSdPcQZP4NMgeT/GlKAv7l92WTIpss2WNDiWvQ/w4ODuOHb33rW3j729+OeDyOeDyO888/\nHw888IDvnA0bNmD69OmIRCJYunQpnn322THto20VovWd4DFuTLnhVOs+wQ0xXVckHhpE09vba2qr\ncRPOTTdlGdxQ89r2g54ItVpxvqbVypYr6NzqeZ65hiYpziV74HuGsoaPB8ZcfF1ZWYlf/epX+PrX\nv45EIoGZM2fi0ksvxfr168d0IbLdM7nIDy0/tmmSQm1ac8jeOVA871geBzJyW6ukoetsI5vN+spt\nsC2thab6HdXeqNWHeiESJ1qKVEzNkHuKvvUm1Sg12+3FG4VuOPqWAfjyHdE3zhuJZmHV/ZAIUejN\nftiarSC/NHc+ai0q9K/93MHBYWJj5syZ+MpXvoK5c+eir68P3/ve97BixQr8+te/xoIFC7B582Zs\n2bIFW7duxbx587Bx40a0tbXhxRdfHPV6aQTnYp3zuTG1N2RqCQdgIoF1owz0h+Mzxx2t72wHgCFN\nPJ/rGeduLQHFtQcYmEGbRIiWIrswLC1GWs8zm82atZBpXWjdYn90LQD8xb0naqmQMSdGM2bMwMMP\nPzwqbXOg5GKjtkaIxzQazX5/rjb1OAkU22LlZJIeCtT4vyYpZB4iTbKoadTZNi0uJFvaVzsUkzdW\nWVmZqX2mg1mjxXRA6/8csCRT1DH19PQYyxMHOwc8iQpvSpI/ki7N/cSbTHcm1DsB/ULpIOtPEIGy\noyGGS44cYXJwmHhYvny57/9bb70Vd9xxB/bs2YMFCxbga1/7Gq6//nqsWLECALB161Y0NTXhnnvu\nwZVXXjni6xcqy+BcRXcULTk6l2m0GdtU7Sk3yZznaTUikWLZDc7XTBbJ9mmxAfrXp2w267PQ2wSJ\nz48ePYpUKmXmeM1uzXM0qpkbcbanpI9t83p80FrF9WgizsPHVa20XAgiTDxOVktTpC0co4upr68P\nmUwG0WgU0WjUWHXItsnk+VALSFVVFerq6pBKpXzXJmEheaDqH4AvySJNrTyH/l2bALFdjVpTQkby\npebYbDZrCJCSOdZV466E16JPmlYi+q9pcVPrl4rJ7UzX/C1yERrbnKvpCNSvru+1bzZt38HBoTTQ\n19eH+++/H8lkEosXL8aBAwfQ3t6OtrY2c051dTWWLFmC3bt3F4UYAUMP+uHm1M6hRy+Ebsq5+eVr\nJB+qFVXtEgkG4I+21bmQuYlo0WeSR/ZL1yX9XHTh8Tp2TiT9jJWVlSa5pLoCOafrJj7oOxrs+HjN\nzyVPjHTBHw0oq9U07BoGz4gBMmc+SFyYRZQ3AgcbdUYAfKZLWoW4+NM0mU6nkUgkjPaIA5iiOx3E\n6m/OZDI+LRFJDa1a7DcAH0niLoH9pptMs5yquVirONNVxptDo85UjKeh+rb7TH8D/atiefu3z2ch\nss8Z7JiDg8PEwTPPPINFixYhk8kgFovhJz/5CU499VTs2bMHoVAIzc3NvvObm5tx8ODBMe9nkKuM\npEEjykhuVMtjJ/i1N+MqTQD6I8roMmOZEeYd8rxjofKajkX7RsuUFi0Hjq1v6XTalyCXm3F6Dvg6\ndVPMf6droD2Xs207WfBEQ0kTI1vNn8tVVgxoboqenh4z6EgOmO/H846lbGdkAZ/r+0mGABjLEt1e\nPI/aIk2/zgSJ3EWouZVEiIMV6I/c4vvq6+uN5YYmUlqMaOLlzeF5nhFzs190c2muC16b/dYUBCRd\nmgCTNwX7yxuHk4MdwRdEcDQrq73b4S4G8Pv1HRwcShvz58/Hb37zGxw5cgT/8R//gdWrV+ORRx4Z\n1z6pFcm2KAWJjNVbkE6njaU/lUr5kjTqphqAb0OtoFVIU7rYJIfH1dXF63A9Yz9ZuYHRb7Tqa04i\nDaLR/nCO7u3txaFDh1BRUYETTjhhgA600FQq44mSJka5kIswDcUMyvPZFhd9uoPS6bRPzMwFmoyZ\nBIlhjVVVVchmsyZiDejX5NAFRt8xNUZ8sNIycwal02mkUimTGj4UChlyo/VulLholButNPRbM6cG\n+0RyQqE0SRFvVu5++D7NdaQhqnZuIrWU2a/x+7ZD8G3RYi73mlqPclmcHBwcShfl5eWYM2cOAODM\nM8/EE088gS1btuCGG26A53no6OjAjBkzzPkdHR1oaWkZl77a1iLOSZzXKJjW9UIzUmtkGS37nIOZ\nFw/o3yTqppMbYqB/PtTIad3gcr5lqhi69NgnpgrwPM+ki9EC5gzU4dqipK+npweNjY2Bm9x81v6J\ngJImRhxofF4sqNDMZv1c3CORiCEN6lLr6+szkVpauZgMnGSGg4lZp4H+/EZqQlULDgkJB7NqadRK\nQ6sSC8oyCaSG/Wv9MTtKQCPO9IYF4HOP8QZV1x3NvLQW2d8jbyTb1MobKpcoj881bYC+3z7m4OAw\nuUHycNJJJ6GlpQXbt2/HwoULARyzpOzatQu33377uPSNa4adkoRzE8mPCqO5WQXgI0a0CjEKjPmM\ndK5Tq4+64kiIbMkHLUW05iuZUh2TRifrRlstReFw2IT8c4NeV1c3IAVBKaE0ey0IWgTJnIcqriUh\nortLf1RN304CoSJi7Q/P0zTpJBQUSmvxVoruOEg1lF3dXhzAdI1pLiMVutGCFIlEDIHiYNcbVVPP\nh8NhU/eMbXDXQ8sQdyO8Dl1tQL97jcSKn0F9zuyraopsC48Kpu3fTslR0G9uI9f7Bzvm4OAwsXD9\n9dfjkksuwcyZM9HV1YUf/vCHeOSRR0wuo7Vr12LTpk04+eSTMXfuXNx6662IxWJYuXLlmPdVrfBc\nN3RzCfgT2bIGGQNmKLq2N8ZAv0YJGBhZpq4sbkQ5h/Ovkh++R9OpaHkQvoelnVQjSu8IPQVcN/m5\nuDbovKxrxERHyROjXBjqgscfWiO4iCDWryU8NPJKBct0lanIrba21lhv2EeSDwCora01YZK0ntA6\nQ8bPm4bZp233GS1IzDStn5FWJRIYfh5GwLHgLXcQ6XTaZLomGePnoAWK5M1+MDeRCsGV9NmkKEhb\nZP+ehZCdQuFIkYNDaaC9vR2rVq1Ce3s74vE4zjjjDDz00EN4z3veAwC49tprkclkcPXVV+PQoUM4\n99xzsW3btjHNYZRr3WBuIFqG1KVG7wGDaID+yNrq6mpf9moN7dfIXbVOBdVfsx9cu0jMABgLEsmT\npojhhpjRydTIUmpBT0Bf37Fi4VwXuCZxPUmn0wiFQojFYqP8a4wck5YYKYK0Rbn0Rhy0doil/Z4g\noR1JFQeT7hJoKaJ1hmRG08Nr8kSGU7LWWiaTwV/+8hdTwI8EQy1HFRXHqt0zR5Cds4I3CqPTeANp\nIVlalRgxR7chM3fb+ii6zEi2eF22YSdzDHKTsY9Bvmj7nKDnQf/ne80RIgeH0sJ3v/vdQc9Zv349\n1q9fPwa9yQ+uIfYaQ5LAOZ6balYHYIZqPZckSOtYKvHhhp5eAbU0cY2iBUrrr2llBBVp2/njuHnW\n7NhcrwAYPSylJQB8ue3UW0Jht/29TMT5eNITIxVia40Y+5g9mDlYgkIKNceEDiTbzGkPOh286XTa\nF6LPgUbSoO4zrYfW1dUFACYho9ZC0zo1miOIxIjC6erqaqMfYvskOrxhysrKTGh/JBIxn4E3lt54\nvBn1Ohqyn8tCpNom/lZKmjTaYyLePA4ODg42bPcU52F6BkhkOL9xo0vPwOHDh01B2Ewm4yMU9gaS\nc6YWmNXAG87JfKhGk5Yhnb/VwsNNu66R6ilRTRPbC7IWqWtRSdVERskRI3vRLHbbHEhBplGCP7Qd\nvgj0i5nVSqMWFO4CkskkqqurEY1G4XmeseAoYWMx2MrKSsTjcQAwAjz75iO5IdEh6WDGarrA6GIj\neaLQmmRMM03zOvpQNxyzpHLHo9moC3GX6e+pScr4HWuoqp5r/2aFHMt33MHBwaHYUKLBNYMbVpVu\nAPAl59WNOz0NXDtsTRHXFnXZ0T2nlnrdsNJVRwuQeilsEbaG6WuiX16T8gsSL7oHlYipu42WsomO\nkiNGQwUX88GOKZRVE3aYOAe6nqtZSjlAOBiZHTSZTCIcDiMSiRg2DsAQjc7OTuOH1SgChvPX19cj\nnU6bG4zZTEl2AJiyIoxwoABcSRdvHCZ+VNE3PwvQb0KlXomfmTc5CYyd2VsfAIxfmu0oCVLylM/F\n6eDg4DDRoPNWkMSCFiKVGwBAKpUypIPehoqKCjQ0NCAcDiORSBhi0tXVZYJZtHi2irMpu+DcrBtl\noH990hJSmkhY5SD259PPA/TXxeQ1mLBRNU58Lzfdur5MdEx6YgQEW5mC3DVB//OYPfgZ9Qb0hyva\nriu1jtDVRdasJkUVfWv4vwqZSUhIqDTnRHd3tyneRxOolgYhEWIknF3Og1Yi/uXNxdc1txEj7dQM\nzHZV26Rkh65DAL7s4Po9q3mX3yOPBYW75vqNh/qag4ODQ6HIR4KCoMSIaVk0Io06zGw2i0Qi4ZNw\ncM0Ih8NmY8k5P8gSRUuPusXUkgP0l/tQyw6P81zVN2UyGdPPbDZrSBZlIJzLtRoD10KSJoquGVSk\n36X9PJ+OdCxRdGJ09913495778VTTz2FI0eO4NVXX0Vra6vvnMOHD+Oaa67Bz3/+cwDAe9/7Xnzj\nG98w7qKJgCCCpP8rOdIM0yQGavpkrTUAxuTJa9BUSu1PbW2tSQRJS5DuFDzPM/oimj9ZQFDrlHne\nsVTwZPW84bhjsbNfq7aJFqRQKOQjUuFw2CSzpNmWZl62yz5pmyri092J+sGDkMvt5uDg4FAKoMWG\nhIFzuVZFqKmp8W1KWVBWN+QkRraImse4udZNJM9jjTW2x+PsDwkN30NJhwYIcU1Qi79NZnp7e9HZ\n2WnIHjfrJFmsAFEK83jRiVEqlcLFF1+MFStWYN26dYHnrFy5En/4wx+wbds2eJ6Hf/zHf8Tq1avx\ns5/9rODrjKbWSKMBglxufF3zRWifOLjUhKh+XvqBSaBIPlRgR5E1rUWEberU/tHSohojtU7xplFr\nkArv+Nm0/AezWqumKRQKmUg11ubRaDZ7V0BCxed25IN+d0F5jIaiI3JwcHCYKNANdNBapVHKatkh\nNIBHdaycQ1UXRPeZWpG4cSWx4RrEtUs9F1xbKBTX5MS8biqVMlHM1Jbyc3Dt4Lma745t6fcykVF0\nYrRmzRoAwN69ewNff/755/HLX/4Su3fvxjnnnAMAuOuuu/Cud70LL730EubOnVvsLuUVUdOSo75f\nwtYU2Qu1mlLV9EmGz4GrhQIZWk+fLHNVqK+YZkrdYWj0GduiOBvoD58nw2duDPaJFhx18WmeIfZZ\noxtI4KLRqPmMGmmmOwklR0D/bsV2r+X6HvWv/dzBwcFhoiOXa02tMpxjKyoqUF9fD+CYe4yh+pyf\naQXiGsDgHEaoAfCtBwyuUWsSj3M90DZ1o8s0MszFR+0ryYxqlGw3Hi1i/MuyVnQbMg8e1xnbCzBR\nMeYaoz179iAWi+G8884zxxYvXoza2lrs3r276MRIyU8uMx7PUSuGRkIFaYwY1aUmT7V6cBDyfL6f\nEQMkFOoH1rIbdXV1yGQyvsgzOwySn4cEi33SEHyaTunjJtFiP7V2Dwc6XW38y5tEIyH4nBYt9p0a\noVxuMH639jmFkqOh3FSlcAM6ODhMbigJOXr0KI4cOWKs7izPQfLT3d1tgmt4jJtWbo7VZaYSDhIv\ntqcESrNfA35Jg7rhVI7Bvuvmn4l+AfgKnVM7qhpX9ontlJLlf8yJUXt7O6ZOnTrgeFNTE9rb28e0\nLyQVSp70NX2u5EgjsXSwKbNWckUiwQFsW3DoPlJGTuatA5k3CcXRlZWVxm9bU1NjkmgBMCy9r68P\nyWQSnucZ8RsHtB0loWJrDctU86zqk9TMqgNfyQ9Jk7rNbPdZPpdZIcilB3NwcHAYD9hSDyUnAIxF\nHoCvVqYWDKckQjfQ6n3Q8HxdlzRTtua64zENGlIvAl1omotPA20o+dByWGyzu7sbqVTKRGCzkoIG\n4pQSCoqdu/HGG3OGYtONsnPnztHuqw+5fLY2+IPbiRr1OU2dmmMhl0XDblvfp+cwrw+ZMwmGZpdW\n4sDXSZj4foqZmRyrtrYWsVgMsVjM7DBU50PzqYq9a2pqUFtbi6qqKp8ZlSRNI9MoAme0GX3Q7JdG\nt5EY8Ty9wWzXZD73mf1bBlmbct1cJLVaRNHBwWFyYdOmTTjnnHMQj8fR1NSE9773vdi/f/+A8zZs\n2IDp06cjEolg6dKlePbZZ8ekf7kWfvt4eXk56uvrEY/HfcJoW6YADHRdqWiaUWi0EGnSSF6Tr7Ny\nAguYc43QYyRaPT09JqmkaozUU8B5nnn41ABA0qS6qFKUSBRkMVq3bh1WrVqV9xw78iwXWlpa8MYb\nbww4/vrrr6OlpaWgNoYKm73zORdTJU2Fki0V1HFx56Al4eju7kYikUBZWZkJc+/q6kIikTAWHA42\ndZGxb+l0Gp7nT4xF8kQNE/MjkWzZWbXLy8sRiUR8Vqz6+nrzXHMwMTqOA1xvMJpnNREYAJ+uiDeM\nWoaUNOYiReraK5Ubx8HBYeywc+dOXH311TjrrLPgeR5uvPFGvOc978Fzzz1ntDqbN2/Gli1bsHXr\nVsybNw8bN25EW1sbXnzxxTGrmQYEa410w8i5NZPJmGzXlCDQlaalNJgORq1Bqlfi2kPrkconaP2x\nc9jZ/WOfVJjNuZgELpvNmnpvjEjm/F1fX49YLOaTYtjRyYWSx4mAgohRY2MjGhsbi3LBRYsWIZFI\n4PHHHzc6o927dyOVSuH8888vyjWGYjnIpYUJakPJlOqVgkTNKjTThFsaRUDxM8lQOp02Yfpk8Lqb\nYB94U4XDYdTX1/t82DTLMgSUlieNJqOLTncBGqGmyRp5PRItmlLZfyU9QTXa7O84yFI0khuGE47d\ntoODw+TBgw8+6Pv/Bz/4AeLxOB577DFccsklAICvfe1ruP7667FixQoAwNatW9HU1IR77rkHV155\n5Zj32QbnPFpxuMZoeRC6pGjFocuNlhxahtgGN+IkLup6Y7u2BYp9IeEKhUK+agqcU0nO9FzqapnT\niME9NAbwvZqvrhTn46JrjDo6OtDe3o4XXngBnudh//79OHToEFpbW9HQ0ID58+fj4osvxlVXXYW7\n7roLnufhn/7pn7B8+fJRiUjLBXtBDWL4OojsBdwmUPxf2ThzCJHZ9/X1IRqN+kpwsG0N8ac1R0ts\nkGCxbbXa8HVGu1EgZ0cNKBHi5+GNFIlEUFNTM8AlxUgFao/YZ34GmxzlcpnZUEuRirGH+1s6ODgc\nP+js7ERfXx8aGhoAAAcOHEB7ezva2trMOdXV1ViyZAl27949IYiRRvsCMMEw3IySLNEao7mOuJnm\nQy02tDTZxWS1tEfQOsP1QUtXUXOrATVc0+xqCFxv6urqTNSd6lNzGShKgSwVnRjdeeed2Lhxo/nw\nl156KYBj1ZFXr14NALj33ntxzTXX4G//9m8BAJdddhm+8Y1vFLsrg2IwS5Ee43MOHJssaSgk30sr\nC5MwkoRQWK3X4w2iVe81KZZGhtE1R1MpdT40yWr9M5IX7hrYV81myog8fj7eLNov2/+dixQFkaNC\nfofh3iwT/QZzcHAoPtasWYN3vvOdWLRoEYBjQT2hUAjNzc2+85qbm3Hw4MEx61euTbbObyQgapVX\nV1dFRQWSySQ6OzsNWaLFnwJrFVyr6FoDgrjeaNSZ5okjieL/WiqKXgtGx7Gf7J8+uPHmehgKhQxx\n0vZLCUUnRjfddBNuuummvOfE43F8//vfL/alxwRqcbGhJkbVy7AmmZ0zSUPggX6/MQcwov2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801w+qf4txzz/Wuuuoq37G5c+d6N9xww7Db3LBhg3f66aePtGsDEI1Gva1bt/qOTZs2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\nB3WKXt0WbVxoAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -670,7 +676,7 @@ "np.random.seed(100)\n", "xs, ys = multivariate_normal(mean=mean, cov=p, size=5000).T\n", "\n", - "plot_monte_carlo_mean(xs, ys, f, ukf_mean, 'Unscented Mean')\n", + "plot_monte_carlo_mean(xs, ys, f_nonlinear_xy, ukf_mean, 'Unscented Mean')\n", "plt.xlim(-30, 30); plt.ylim(0, 90)\n", "plt.subplot(121)\n", "plt.scatter(sigmas[:,0], sigmas[:,1], c='r', s=30);" @@ -856,11 +862,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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cHOXgKw/P9/GVj4/XT7I1+ok2ev//NZ2QESKshQgZJpGQQTRskIyaJCImmqZt97cpxDIS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\nqaegqiouueQSfPOb38TOnTtnP79582ZccMEFuP/++0/4f/l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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.91\n" + ] + } + ], "source": [ "ukf_internal.plot_sigma_points()" ] @@ -967,12 +991,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "collapsed": false, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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UjYd1Rx08Puek7RVpKpQuug3ZOgvkaSrI01RIS0mHWMSL3YmIaGHjaSoiirig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\nagAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from filterpy.kalman import KalmanFilter\n", "from filterpy.common import Q_discrete_white_noise\n", @@ -1015,7 +1050,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": { "collapsed": false, "scrolled": false @@ -1074,12 +1109,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "collapsed": false, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "UKF standard deviation 0.013 meters\n" + ] + }, + { + "data": { + "image/png": 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GciK/O4iIaOGbleD+/vvvX3Fs9+7d2L1792y8PRHNocGRfnQ6m9HubAyF9Z5+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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from filterpy.kalman import UnscentedKalmanFilter as UKF\n", "\n", @@ -1133,12 +1186,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "collapsed": false, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "import ekf_internal\n", "ekf_internal.show_radar_chart()" @@ -1168,7 +1232,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "collapsed": false, "scrolled": false @@ -1204,7 +1268,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": { "collapsed": false, "scrolled": false @@ -1232,7 +1296,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": { "collapsed": false, "scrolled": false @@ -1300,11 +1364,42 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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6jhSsrXuwru7BurrHT1ejuMqwmvzu7m5s3rwZn3/+OSorKwEASUlJuO222/Dg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\nTx7R1d2JspqT0PU/WXawCTh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67WnToCuhNZuavFJFp9dx9spxjpzdxbEL+5TFCP/O3zOIvu0epXm9Dhw6dAiw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\nICKyQf31V+6AgAAIIeDp6Sl7GlFHgoODAQA1NTUYO3Zsu+U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D6NfqTrm6BJ/9uB5XizIM+pxUKoPC1Qfebv7wcm99uflD6eYHu1t0IepvN18t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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from filterpy.common import Q_discrete_white_noise\n", "import math\n", @@ -1367,12 +1462,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": { "collapsed": false, "scrolled": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Actual altitude: 2561.9\n", + "UKF altitude : 1107.2\n" + ] + }, + { + "data": { + "image/png": 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fP38+WVlZrFq1iq+//pp//etfPPzww6xatUqNSUxMZO3atWRmZpKXl0dVVRVR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\nHWgAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from ukf_internal import plot_altitude\n", "\n", @@ -1421,7 +1535,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": { "collapsed": true }, @@ -1451,12 +1565,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": { "collapsed": false, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Actual altitude: 2561.9\n", + "UKF altitude : 2432.9\n" + ] + }, + { + "data": { + "image/png": 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tLa0YN3gKYf6PYmdjOjzo2rVrlJSU0KNHj0btTZ06lVOnTqlzDwYMGCArAgnR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\nSUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "random.seed(200)\n", "ac = ACSim(ac_pos, (100, 0), 0.02)\n", @@ -1506,12 +1639,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": { "collapsed": false, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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EEzUXf/EIq/b8wL6Tm5izfCpfrHiPU0kx900+hRB1h7qinF1nV5BboJ0kwsrC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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Velocity std 3.4 m/s\n" + ] + } + ], "source": [ "range_std = 500.\n", "bearing_std = math.degrees(0.5)\n", @@ -1548,7 +1699,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": { "collapsed": true }, @@ -1571,12 +1722,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": { "collapsed": false, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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z2Q8jJ1tX2Iyw1/o5+8pmhD0mjg1n24npp/XYG6IvDMOofFmeGbSo11xnQzdv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\nIiIiIgPERICIiIiIyAD9f7ImWgU9HyPrAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Velocity std 1.3 m/s\n" + ] + } + ], "source": [ "h_radar.radar_pos = (0, 0)\n", "h_vel.radar_pos = (0, 0)\n", @@ -1635,12 +1804,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": { "collapsed": false, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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zx0v/5qnoeE3nLLVh7iIkvfQvloyEIIXe0OV1ueDSxY9EJA8m2ERhwOnyYH9F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\nRqPR5/E+vT1+8skn8fTTT3f7uCAI2LJ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "ukf_internal.show_two_sensor_bearing()" ] @@ -1654,7 +1834,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": { "collapsed": true }, @@ -1674,7 +1854,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": { "collapsed": true }, @@ -1695,7 +1875,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": { "collapsed": true }, @@ -1716,7 +1896,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": { "collapsed": true }, @@ -1740,12 +1920,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": { "collapsed": false, "scrolled": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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KrVYr6enpFBYWKqyLyLDX19/Hqdoj7Dn9IdUtJbR1tNDe1IXZGu6u8fXxY0Ts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\nnIiIiFw8JQeR/6G3r5e2M00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//wv+Uf2kTbEOqBk7LYlbp03lr//qb8iZdRf+vgGD/z8g\nIiIiIjJMXfK+gx0dHTidTiIiIgAoLy/HZrN5BG5/f39mz55NYWEhAEVFRfT393vUWK1W0tPT3TVf\n5O/+7u+YPHkyZrOZb3zjG2z7cA8ln9VesNaaGkV4qpOPDhew7KUHeWH9z+jr77vUIYqIiIiIDAuX\n/AbTJUuWMHnyZKZPnw6AzWbDy8uLmJgYj7qYmBjq6uoAsNvtGAwGIiMjB9TYbLYvfb1f//rXABiN\nRiZMmMDkKZPxj+vBRfugfS2vP8HSF78JwB1jHiAhMu3iBikeioqKhroL8t80F8OD5mH40FwMD5qH\n4UHzMPRSU1Ov+DUvKaz/5Cc/obCwkJ07d+Ll5XXFO3MhDz/8MJmZmUyYMAF/f/8Bxx3OfiqajnGk\nZift3c1feJ1PTqxn7i0PYw4duHxGRERERGQ4uuiw/uSTT7J+/Xq2bt1KUlKSu91iseByubDb7Vit\nnwdhu92OxWJx1zgcDpqbmz3urtvtdmbPnv2lr/vKK68M2rdpZPHXfA+A9q4WTlR+xusb/3VA3ai0\nkaRabxn0enLeX35Dz8zMHOKeiOZieNA8DB+ai+FB8zA8aB6Gj/b2wVd+XKqLWrO+ZMkS1q1bxyef\nfDLg9n5ycjIWi4WNGze623p6eti+fTszZ84EYMqUKfj4+HjU1NTUcPz4cXfNlRIWZGLa2Bz+vx//\nJ0v/+l+4fdI9jE6cwPfn/0xBXURERESuK4PeWX/sscd47bXXeO+99wgLC8NutwMQHBxMUFAQAE88\n8QSrVq1i9OjRpKam8txzzxESEsKDDz4IQGhoKIsWLWLZsmWYzWZMJhNLly5l4sSJV+2Jod5e3iRZ\nUkmyXPm1QyIiIiIi18KgYf2ll17Cy8trQKj+xS9+wYoVKwBYtmwZPT09LF682P1QpI8//tgd5uH8\n9o5Go5GFCxfS3d1Nbm4uBQUF12ztu4iIiIjI9WbQsO50Oi/qQitWrHCH9wsxGo3k5+eTn59/8b0T\nEREREbmJXfI+6yIiIiIicm0orIuIiIiIDFMK6yIiIiIiw5TCuoiIiIjIMKWwLiIiIiIyTCmsi4iI\niIgMUwrrIiIiIiLDlMK6iIiIiMgwpbAuIiIiIjJMKayLiIiIiAxTCusiIiIiIsOUwrqIiIiIyDCl\nsC4iIiIiMkwprIuIiIiIDFMXFda3b9/Ovffei9Vqxdvbm//4j//wOP7II4/g7e3t8TFjxgyPmt7e\nXh5//HHMZvP/3979hTT1/2EAf5ybmVmWZttyftXCTEMsi0CF0uUIwdIQjG4yC4SilEoi8qY/hNRN\nENhFQVBBJkTeVFAKav7rQk1RCypSSuMMEVQmVtre34sf7dea/765nS17XjDQc95b5+zpwQ92OkNw\ncDBycnIwODjovjMhIiIiIlpk5rVYt9lsSExMxPXr1xEUFDTtjMVigdVqhaIoUBQFT58+ddpfUlKC\n6upqVFVVoampCWNjY8jOzoaILPwsiIiIiIgWIe18hrKyspCVlQUAKCgomHZmyZIlCA8Pn3bf2NgY\nbt++jTt37sBsNgMA7t27h6ioKNTW1sJisfzOsRMRERERLWpuu2a9qakJer0ecXFxKCoqwtDQkGNf\ne3s7pqamnBblJpMJ8fHxaGlpcdchEBEREREtKvP6zfpcsrKykJeXh5iYGPT396OsrAxmsxkdHR3Q\n6XRQFAX+/v4ICwtzep5er4eiKO44BCIiIiKiRccti/X8/HzH15s2bUJycjKioqLw5MkT5ObmLui1\nR0dHF3p49JtiY2MBMANfwCx8A3PwHczCNzAH38AcFjeP3LrRaDTCZDLh3bt3AACDwYDv379jeHjY\nac5qtcJgMHjiEIiIiIiI/ngeWawPDQ1hcHAQRqMRALB161ZotVrU1NQ4ZgYGBvDmzRukpaV54hCI\niIiIiP5487oMZnx8HO/fv4eIwG634+PHj+jq6kJoaChCQ0Nx/vx55OXlwWg0oq+vD+fOnYPBYMC+\nffsAACtWrMCRI0dw5swZhIeHIzQ0FKdPn8bmzZuxa9culz8vJCTEvWdJRERERPQH8pN53Oi8oaEB\nGRkZ8PPzc9peUFCAGzduIDc3F52dnRgZGYHRaITZbMbFixcRERHhmJ2cnERpaSnu37+PiYkJZGZm\noqKiwmmGiIiIiIj+b16LdSIiIiIiUp9HrlmfTmNjI3JycmAymaDRaHD37l2XmfPnzyMiIgJBQUHI\nyMjA69evnfZ/+/YNJ06cQHh4OIKDg5GTk4PBwUG1TmHRmCuLwsJCaDQap0dqaqrTDLNYmPLycmzf\nvh0hISFYs2YN9u7di97eXpc5dsLz5pMFO+F5N27cQFJSEkJCQhASEoLU1FSXT8JmH9QxVxbsg3eU\nl5dDo9GguLjYaTt7oa7pcvB0J1RbrNtsNiQmJuL69esICgpy2X/lyhVcu3YNFRUVaGtrw5o1a2Cx\nWPG8b7sAAAWHSURBVDA+Pu6YKSkpQXV1NaqqqtDU1ISxsTFkZ2eD/zjw38yVBQBYLBZYrVYoigJF\nUVx+aDKLhXnx4gWOHz+O1tZW1NXVQavVIjMzEyMjI44ZdkId88kCYCc8LTIyElevXsWrV6/Q3t4O\ns9mM3Nxc9PT0AGAf1DRXFgD7oLaXL1/i1q1bSEpKctrOXqhrphwAD3dCvCA4OFju3LnjtM1oNEp5\nebnj+4mJCVm+fLncvHlTRERGR0clICBAKisrHTOfPn0SjUYjz58/V+fAF6Hpsjh06JDs2bNnxucw\nC/ez2Wzi7+8vjx8/dmxjJ7xjuizYCe8IDQ11/H1nH7zr5yzYB3WNjIzI+vXrpb6+XtLT0+XEiROO\nfeyFembLwdOdUO0367Pp6+uDoiiwWCyObYGBgdixYwdaWloAAG1tbZiamnKaMZlMiI+Pd8yQ+zQ1\nNUGv1yMuLg5FRUUYGhpy7Gtvb2cWbjY2Nga73Y5Vq1YBYCe86dcsfmAn1GO32/HgwQOMj48jLS2N\nffCiX7P4gX1QT1FREfLz87Fz506n7eyFumbK4QdPdsItn2C6UIqiwM/PD3q93mm7Xq/H58+fAfzv\nA5T8/f0RFhbmMqMoimrH+jfIyspCXl4eYmJi0N/fj7KyMpjNZnR0dECn00FRFGbhZiUlJUhOTkZK\nSgoAdsKbfs0CYCfU0tPTg5SUFHz58gXLly9HdXU1EhIS0Nrayj6obKYsAPZBTbdu3cKHDx9QWVnp\nso8/J9QzWw6A5zvhE4t18i35+fmOrzdt2oTk5GRERUXhyZMnyM3N9eKRLU6nTp1CS0sLmpubXW6P\nSuqaKQt2Qh0bN25EV1cXRkdH8fDhQxw8eBANDQ3ePqy/0kxZJCQksA8qefv2LcrKytDc3AyNxicu\nhPgrzScHT3fCJ9I3GAwQEVitVqftVqsVBoPBMfP9+3cMDw/POEOeYTQaYTKZ8O7dOwDMwp1OnjyJ\nqqoq1NXVISoqyrGdnVDfTFlMh53wDK1Wi3Xr1mHLli24fPkyNm/ejGvXrrEPXjBTFtNhHzyjtbUV\nw8PDSEhIgE6ng06nQ0NDAyoqKhAQEICwsDD2QgVz5TA5OenyHHd3wicW6zExMTAYDKipqXFs+/Ll\nCxobGx3XyG3duhVardZpZmBgAG/evHG6jo7cb2hoCIODgzAajQCYhbuUlJQ4FoexsbFO+9gJdc2W\nxXTYCXXY7XZ8/fqVffABP7KYDvvgGfv27UN3dze6urocj23btuHAgQPo6urChg0b2AsVzJWDTqdz\neY7bO/H7/y/2v7HZbNLZ2SmvXr2SoKAguXTpknR2dsrHjx9FROTKlSuycuVKefTokXR3d8v+/fsl\nIiJCbDab4zWOHj0qkZGRUltbKx0dHZKRkSHJyclit9vVOo1FYbYsbDablJaWSmtrq/T390tdXZ2k\npKTIP//8wyzc6NixY7JixQqpq6sTRVEcj5/fY3ZCHXNlwU6o4+zZs9LY2Cj9/f3S3d0tZ8+eFX9/\nf3n27JmIsA9qmi0L9sG7fr0LCXvhHT/noEYnVFus19fXi5+fn2g0GqdHYWGhY+bChQuydu1aWbp0\nqaSnp0tvb6/Ta3z79k2Ki4tl9erVsmzZMsnJyZGBgQG1TmHRmC2LiYkJ2b17t+j1elmyZIlER0fL\n4cOHXd5nZrEw073/Go1GLly44DTHTnjeXFmwE+o4dOiQREdHS2BgoOj1erFYLFJTU+M0wz6oY7Ys\n2AfvysjIcFqsi7AX3vBzDmp0wk+Ed8UnIiIiIvJFPnHNOhERERERueJinYiIiIjIR3GxTkRERETk\no7hYJyIiIiLyUVysExERERH5KC7WiYiIiIh8FBfrREREREQ+iot1IiIiIiIfxcU6EREREZGP+hfY\nTGI2DUjo9AAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "def moving_target_filter(pos, std_noise, Q, dt=0.1, kappa=0.0):\n", " points = SigmaPoints(n=4, alpha=.1, beta=2., kappa=kappa)\n", @@ -1801,12 +1992,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": { "collapsed": false, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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MEArrIiLSL5wqOcaxc59x/Oxn1DVVc/bYRfa/fZym+lZnG3cPI76mIL6f/iOi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\nTYf1+Ph4zGYze/bsITU1Fbj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v9UHVIiIiIrcGhfVbzMWK4h4J6p4e3rS2NXe7fcLgkTx4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\nNiIAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "target_pos = [0, 0]\n", "f = moving_target_filter(target_pos, std_noise, Q=1.0)\n", @@ -1836,7 +2038,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 31, "metadata": { "collapsed": false, "scrolled": false @@ -1844,9 +2046,9 @@ "outputs": [ { "data": { - "image/png": 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8ODpm48YNHhERCly+bLo9y5YpMGOGDozVR/fuKqtaY7GmMalK161KrxUQZ4oX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\nTp06YdGiRaioqEB5eTkWLVqEuro63Lp1CwAQGhqKO3fuICk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nzhxcvnwZ69evx6JFixAVFSV1aISUmeKV2dq3l6N9ezl27KBliYk0aOD7HJRK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\nRklJSQEAODs7Q6lUIjIyEtu3b0f//v0lzoyIqPOTCSGEVB+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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1889,7 +2091,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 32, "metadata": { "collapsed": false, "scrolled": false @@ -1897,9 +2099,9 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1930,7 +2132,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 33, "metadata": { "collapsed": false, "scrolled": false @@ -1938,9 +2140,9 @@ "outputs": [ { "data": { - "image/png": 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L5rPPqmjZMkRubkLN6xMnTqxZD9y/f382bNhQ817nzp3Jy8urp9HHtogF4ddffx3LsujS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\nIiIiIo/0/+GgLVI7wMnkAAAAAElFTkSuQmCC\n", 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F29BTyBVpQH7yk5+ccuyulSs50Lw59/frh7F+PYbbjScvD9vlIrh6NUG3G2duLla7dgSK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\nvxA7vOwc8QAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1999,7 +2201,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 34, "metadata": { "collapsed": false }, @@ -2014,7 +2216,7 @@ " [ 0. , -0.172]])" ] }, - "execution_count": 38, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } @@ -2106,7 +2308,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 35, "metadata": { "collapsed": false }, @@ -2118,7 +2320,7 @@ " [ 0.122, 2.995]])" ] }, - "execution_count": 43, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -2168,7 +2370,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 36, "metadata": { "collapsed": false, "scrolled": false @@ -2180,7 +2382,7 @@ "array([410, 520, 630])" ] }, - "execution_count": 31, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" } @@ -2237,7 +2439,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 37, "metadata": { "collapsed": true }, @@ -2295,7 +2497,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 38, "metadata": { "collapsed": false, "scrolled": false @@ -2369,7 +2571,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 39, "metadata": { "collapsed": false, "scrolled": false @@ -2377,9 +2579,9 @@ "outputs": [ { "data": { - "image/png": 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48CA++eQTbN68GZ999pm8pKY/nnjiCezYsQN79+5FYmKivF2r1QIArFZrnyv3\nVqtVfu/7Jk2a1O/j04WdXWfLmg481tYzhmNdW9ub5Ztgi815F70JNjw0EiZDFtLixw/YRJvhWNfB\ngHX1DNbVM1hXzzh39clAcbu5X7p0KQoLC/Hmm2/i3nvvhULR89hwh8OBv/3tb3jwwQexdOlS/P73\nv+9XAkuWLMHOnTuxd+/e827WTUpKglarxe7duzFx4kQAQHt7O3JycvDSSy/16zhERENBZ1cHjtcc\nQUlVAUrN+ag8eQxCOJzGBwWEwKjvmTVvih8PTXgs/7JJRDSCud3cf/DBB1i0aBHuv//+PtsVCgXu\nvfdefPvtt3jrrbf61dwvWrQIf/3rX/H+++9DrVbDYrEAAMLCwhASEgJJkvD4449jzZo1SE9Ph9Fo\nxOrVqxEWFoa7777b7eMQEQ1W3fYunLCUoMRcgJKqAlRYii9+E2zsGKQZxsNkyIJBkwwFb4IlIqJe\nbjf3jY2N8lKcC0lOTkZDQ0O/Dr5p0yZIkoQbbrihz/aVK1di+fLlAICnn34abW1tWLRoERoaGjBl\nyhTs3r0bISEh/ToWEdFg4HDYYT55XL4yf7zmCDq7XdwEKylg0KT0XJk3ZCEpNh0qvwAvZkxEREOJ\n2819SkoK3n//fTzyyCPn/clXCIEPPvjAZfN/IQ6H8z81n2vFihVYsWJFvz6biGgwcAgHLPWV8pX5\nY1WH0dbZ6nIfXWQ8jPpxMOqzYNSPQ3AgH9hHRETucbu5X7x4MR555BHcdNNNWLJkCdLS0gAAR48e\nxauvvorPPvsMmzZt8liiRERDgRACpxprUVpVgBJzPkqrDqO5zfUNU1FqLUyGTLmZHxXS/8EERERE\nQD+a+4cffhh1dXV47rnnsGfPnj7vqVQqPPfcc3jooYcGPEEiosGuoamut5Hvaegbm+tdxqtDRsNo\nyIRJnwWTIROjR2m8lCkREQ13/Zpzv2zZMjz00EPYs2ePPOc+ISEBM2fORGRkpEcSJCIabJrbzvQ0\n8pX5KKkqwKnGGpfxIYFhMOozexp6QxYn2hARkcf0q7kHgOjoaNx1112eyIWIaFBq72zDsepClJjz\nUWLOR3Vdhcv4AFUQUuMy5CvzuqgEKCSFd5IlIqIRrd/NPRHRcNfV3Yny2mKUVuWj2JyPSkspHC5m\nzfsrVUiOHQOjfhxM8eNh0KRAyfGURETkA06be4VCAUmS0NbWBpVKJb8WQjj9MEmSYLfbPZIoEZGn\n2B12mE/I8HcHAAAgAElEQVQek6/Ml9ccRZe902m8QlIgQWuCqXeZTaI2Df5+Ki9mTEREdGFOm/vl\ny5dDkiQolUr5NRHRcCCEQG39iZ7xlOZ8lFUXov0i4ynjopNg0vc08ylxGQhUBXkpWyIiIvc5be5X\nrlzp8jUR0VAhhECdzfKf8ZTmAjRdZDylJjwWxt4HRxn14xAaNMpL2RIREV06t9fcr1q1Cj/84Q8x\nbty4C75fWFiIv//977zCT0SDgq35NEqq8uWr8w1Np1zGh4dGwiQ385mICIvyUqZEREQDx+3mfuXK\nlUhNTXXa3BcUFODZZ59lc09EPtHS3oQT9UdhaazAP4v+DGtDlcv4kMCwc2bNZyE6XMfxlERENOQN\n2LScpqYm+Plx+A4ReUdHVzuOVRfJE22qT5ZDwPkN/wH+gUiNGwejIRNphiyOpyQiomHJZTeel5eH\nvLw8eULOV199he7u7vPiTp8+jU2bNiE9Pb1fB9+3bx9eeuklHDp0CDU1NXjzzTdx//33y+8vWLAA\nf/nLX/rsM2XKFOTm5vbrOEQ09HV1d+GEtUSeaHPCUgq74/x/j87yU/ojSZcuT7SJ16RCqeQFCCIi\nGt5c/qR77733sGrVKvn166+/jtdff/2CsREREdi6dWu/Dt7S0oKsrCzcf//9uO+++877k7gkScjO\nzu7zuSoVx80RjQQOhx1Vp8rlZv5YTRG6up2Pp5QkBSJDdNCFJ+LaK2ciKTYdKr8AL2ZMRETkey6b\n+4ULF2LOnDkAgMmTJ2PVqlW4+eab+8RIkoSQkBCkpKTA39+/XwefNWsWZs2aBaDnKv33CSGgUqmg\n0Wj69blENPQIIXCyoRrFvc18WdVhtHY0u9wnNjKh5wZYQyZS4zJQWHAEAJAWP94bKRMREQ06Lpv7\n2NhYxMbGAgA+//xzjB071quNtiRJyMnJQUxMDMLDwzF9+nQ8//zziI6O9loOROQ5DU118pX5kqoC\n2JrrXcZHqbXnTLQZh7DgcC9lSkRENDS4vQD1uuuu82AaF3bzzTfj9ttvR1JSEsrLy7Fs2TLMmDED\nBw8e5PIcoiGopb0Jpb2jKUvM+TjZWOMyflRwhNzMmwyZGD2Kf8UjIiJyRRJn75b9ngceeACSJGHz\n5s1QKpXy64v505/+dEmJhIWFYcOGDbjvvvucxtTW1iIhIQHbt2/HvHnz5O02238eRlNaWnpJxyei\ngddt74L1TCUstgrUNpbjdIvFZby/MgBadQK06iTowhOhDorieEoiIhq2jEaj/LVarR6Qz3R65X7v\n3r2QJAkOhwNKpVJ+7YwQwuM/hHU6HfR6PcrKyjx6HCK6NA6HHXXNNahtLIfFVoFTTVVwCIfTeIWk\nhGaUAbrwJOjUiRgdquN4SiIiosvgtLmvqKhw+doXTp06herqauh0OqcxkyZN8mJGw9uBAwcAsKae\nMFxq6xAO1NRVyE+BPVZdiI6udqfxkqRAfEwq0nqX2iTp0uHvN3BL7IZLXQcb1tUzWFfPYF09g3X1\njHNXnwwUnw59bmlpkZfROBwOnDhxAt999x0iIyMxevRorFixAnfccQe0Wi0qKiqwdOlSxMTE9FmS\nQ0TeI4TAqcZaec18aVUBWtqbXO6ji4yX182nxmUgKCDES9kSERGNPG439xaLBbW1tZgwYYK87ciR\nI3jllVdgs9kwf/58/PCHP+zXwffv348ZM2YA6JmMs2LFCqxYsQILFizAxo0bcfjwYWzduhWNjY3Q\n6XSYMWMG3nnnHYSEsDkg8pbG5vr/TLQx56PxIhNtRodFn3MTbBZGhUR4KVMiIiJyu7lfvHgxTp48\niX379gHoeSrt9OnT0djYiMDAQLzzzjt4//338d///d9uH/y6666Dw+F8Pe6uXbvc/iwiGhh9JtpU\nFeBkQ7XL+NAgtfwUWJMhC5GjYngTLBERkY+43dx//fXXeOSRR+TXf/3rX9HQ0IBDhw4hPT0dN9xw\nA1566aV+NfdE5HsdnW04VlMkr5uvPlUOgQsO0QIABKqCkRqXIY+n1EUmsJknIiIaJNxu7uvr6+UH\nWgHAP/7xD1xzzTXIzMwEAMyfPx/Lly8f+AyJaEB1dXfhhLUEJZX5KKnKR4WlBA6H3Wm8n9IfybFj\nYNJnwhQ/HgZNCpQKpRczJiIiIne53dyPHj0atbW1AIDW1lb861//6tPMS5KE9nbnUzKIyDccDjuq\nTpWj2JyPUnM+jtUUoau702m8QlIgPsYoX5kf6Ik2RERE5DluN/dXX301Nm7ciPT0dOzatQvt7e2Y\nO3eu/H5JSQni4uI8kiQRuU8IAcvpKpSY81BaVYDSqsNo62hxuU9sVGLPlXlDFlLiMhAUEOylbImI\niGggud3cr1mzBjfddBPuuOMOAMCTTz6JsWPHAgC6u7uxc+dO3HLLLZ7Jkohcqj9jldfMl5oLcKa1\nwWV8tFoHY+9NsEb9OIQFh3spUyIiIvIkt5v71NRUHD16FEVFRRg1ahSSkpLk99ra2rBhwwZcccUV\nHkmSiPo609KI0qqzE23yUW+zuowfFRIBkyELaYYsGPWZGD1K46VMiYiIyJv69RArf39/jB8//rzt\nYWFhuO222wYsKSLqq62jBWXVhfKs+dr6SpfxwQGhMOrHwdjb0Gsi4jjRhoiIaAToV3Pf2dmJzZs3\n46OPPsKJEycAAImJiZgzZw4efPBB+Pv7eyRJopGmq7sTx2uOyM185cljEML5MyFUfgFIicuQ583H\nRSVCwYk2REREI47bzX1DQwNmzJiBvLw8xMTEIDU1FQBw8OBBfPLJJ9i8eTM+++wzRETwaZRE/WV3\n2GE+eQwllXkoMefjeO1RdNu7nMYrFX5I1KXJN8EmaI3wU/KXayIiopHO7eZ+6dKlKCwsxJtvvol7\n770XCoUCAOBwOPC3v/0NDz74IJYuXYrf//73HkuWaLgQQqCx9RS++PYfKKkqQFnVYbR3tjqNlyBB\nr0mWnwKbHDsGAf6BXsyYiIiIhgK3m/sPPvgAixYtwv33399nu0KhwL333otvv/0Wb731Fpt7Iifq\nz1h7Hhxlzkdh+SG0d7keT6mJiJNvgk3Vj0NIYJiXMiUiIqKhyu3mvrGxUV6KcyHJycloaHA9fo9o\nJGlqtfVOtMlDsfniE23UoZFI670yb9RnIiIsykuZEhER0XDhdnOfkpKC999/H4888sh5UzeEEPjg\ngw9cNv8Xsm/fPrz00ks4dOgQampq8Oabb573l4GVK1di8+bNaGhowFVXXYUNGzbI8/WJBpO2jlYc\nOzvRpqoANXUVLuNVfoEYk3BFz1Kb+PHQhMdyog0RERFdFreb+8WLF+ORRx7BTTfdhCVLliAtLQ0A\ncPToUbz66qv47LPPsGnTpn4dvKWlBVlZWbj//vtx3333ndfYrFu3Di+//DK2bNkCk8mEVatWITs7\nG8XFxQgNDe3XsYgGWld3J8prj8oPj6q0lsLhYqKNv58KKbFjYTJkwd7sj4iQGEy+crIXMyYiIqLh\nzu3m/uGHH0ZdXR2ee+457Nmzp897KpUKzz33HB566KF+HXzWrFmYNWsWAGDBggV93hNCYP369Vi6\ndCnmzZsHANiyZQs0Gg22bduGhQsX9utYRJervxNtFAolEmNMPctsDJlI1KbB369nos2BAwe8lTYR\nERGNIP2ac79s2TI89NBD2LNnDyorex6ik5CQgOzsbERGRg5oYuXl5bBarZg5c6a8LTAwENdeey1y\nc3PZ3JPHCSFQW39CvjJfVl3ocqINAMRFJ8nr5pNjxyJQFeSlbImIiIj62dwDQH5+Pv7973+joqIC\nkiTBarUiOjoaN9xww4AmZrFYAAAxMTF9tms0GtTU1Djdj1dEB95IqakQAs0djahtLIfFVgGL7cRF\nJ9qMChwNbXgSdOpExKgTEOgfDABorRM4XFd40WOOlNp6G+vqGayrZ7CunsG6egbrOrCMRuOAf6bb\nzX1LSwt+9KMf4ZNPPgEARERE9MzqbmzE+vXrcdNNN2Hnzp1eWQvPmw5poLR2NPU28hWotVWgpcPm\nMj5YFQatOhG68CRo1YkICRjlpUyJiIiILs7t5v6pp57CJ598gl//+td47LHH5GU4dXV1ePXVV7F6\n9Wo89dRTeP311wckMa1WCwCwWq3Q6/XydqvVKr93IZMmTRqQ49N/fjsfTjVtaW9CWdXhnqU2Vfmw\nnq5yGR8SGAajPhNGQybSDFmIHqCJNsOxtoMB6+oZrKtnsK6ewbp6BuvqGTab64uKl8Lt5n7Hjh14\n8MEH8eyzz/bZHhUVhVWrVsFisWDnzp0D1twnJSVBq9Vi9+7dmDhxIgCgvb0dOTk5eOmllwbkGDT8\ndXS24VhNkbxuvvpUOQSE03iVfyBSY8fCFN+zbj42KhEKSeHFjImIiIgundvNvcPhwIQJE5y+P378\neOzYsaNfB29paUFpaan8+SdOnMB3332HyMhIGAwGPP7441izZg3S09NhNBqxevVqhIWF4e677+7X\ncWjk6BlPWYzSqnyUmAtwwloKh8PuNF6p9EOSLh0mfSZMhiwkxBihVPb7VhQiIiKiQcHtLuaWW27B\nhx9+iJ///OcXfP+jjz7C7Nmz+3Xw/fv3Y8aMGQB61tGvWLECK1aswIIFC/CnP/0JTz/9NNra2rBo\n0SI0NDRgypQp2L17N0JCQvp1HBq+7A47Kq1lKO19cFR5zVF02TudxkuSAvExqXIznxSbDpVfgBcz\nJiIiIvIct5v7X//61/jxj3+M2bNnY/HixfLdvSUlJXjttddQU1OD3/72tzh58mSf/TQajdPPvO66\n6+BwOH/oDwC54ScCAIdwoLbunPGUNYXo6GxzuU9sVGLPU2D1mUiJG4ugAP5ySERERMOT2819RkYG\nAKCgoECemOMs5ixJkmC3O18SQXQxQgicbKxBiTkfpeYClFYVoKW9yeU+mvBYGA1ZMBkykRo3DmHB\nai9lS0RERORbbjf3y5cv7/eHc2QlXYrTZ07Ja+ZLqgpga653GR8eGtlzZd6QBaM+ExFhUV7KlIiI\niGhwcbu5X7lypQfToJGsqbURpVWHUWLOR4k5H3U2i8v40CA1jPpxckMfpdbyF0kiIiIiXMITaoku\nV2tHM45VF8nNfG19pcv4QFUwUvXjem+CzYQ2Mp7jKYmIiIgugM09eVxHVzuO1xxBae8yG/PJYxDC\n+Y3U/n4qJMeOgckwHiZ9JvSaZCgVSi9mTERERDQ0sbmnAWe3d+OEtRTFvVfmK2qLYXd0O41XKvyQ\nqDXBaDg7a94Efz9/L2ZMRERENDywuafL5hAO1NRV9CyzqcxHWU0ROrvancZLkgKG6OSeG2ANmUiO\nHYMA/0AvZkxEREQ0PLG5p34TQqDOZkGJOR/F5jyUVh1GS9sZl/voIuPlaTapcRkIDgz1UrZERERE\nIwebe3KLreV07w2wPQ+Pamg65TJ+9CgNTIYspBmyYNRnYVRIuJcyJSIiIhq52NzTBbV2NKOyvhi1\ntnL888ifYT1d5TI+NEgNU++a+bPjKYmIiIjIu9jcEwCgs7sD5TVH5ZtgLzbRJkAVhNS4DPnqPMdT\nEhEREfneoG/uV65ciVWrVvXZptVqUVNT46OMhge7vRuVJ8t6183no7z2KOx2FxNtlH5I0qUjrffK\nfLwmFUrloD99iIiIiEaUIdGdpaen44svvpBfK5Wced5fDuFAbV2l/OCosppCdHS2OY2XIGF0qBZa\ndRKmXzkTybFjoPIP8GLGRERERNRfQ6K5VyqV0Gg0vk5jSDl3ok2JOR+lVYfR3GZzuU/MaL18A6xR\nPw5Fh48CANITrvBGykRERER0mYZEc3/8+HHExcUhICAAV111FdasWYOkpCRfpzXo9Ey0KZAb+otN\ntIkIi+69ATYTJn0W1KGjvZQpEREREXmCJIQQvk7ClV27dqG5uRnp6emwWq1YvXo1jh49isLCQowe\n3dOM2mz/uSJdWlrqq1S9rrO7HRbbCdTaymFprICtrc5lfIBfMLTqBOjCE6FVJyEsMAKSJHkpWyIi\nIiI6l9FolL9Wq9UD8pmDvrn/vtbWViQlJeGZZ57BE088AWDkNPdd9k6cOmNGra0CFlsFTjdbIOD8\nfz4/hQox6njo1InQhichIljDZp6IiIhokPBEcz8kluWcKzg4GBkZGSgrK7vg+5MmTfJyRp7Tbe/C\nCUuJvNSmwlICu+MiE220ab1LbcYjIebyJtocOHAAwPCq6WDB2noG6+oZrKtnsK6ewbp6BuvqGede\noB4oQ665b29vx5EjRzBjxgxfpzLgHA47qk6V96yZryrA8eoidHZ3OI2XIMGgSYHJkAWjIRMpsWM5\n0YaIiIhoBBv0zf3/+3//D3PnzoXBYMDJkyfx3HPPoa2tDffff7+vU7tsQghYTlehxJyH0qoClFYd\nRltHi8t9dJHxMOp7ngSbGpeB4MBQL2VLRERERIPdoG/uq6urcdddd6Gurg7R0dGYOnUqvvnmGxgM\nBl+ndknqbVZ5mk1JVQGaWhtdxkeqY2DS90y0MeozMSokwkuZEhEREdFQM+ib+7feesvXKVyWMy0N\nKK0qQHFvQ3/6zEmX8aOCI+RlNiZDJiJHxXgpUyIiIiIa6gZ9cz/UtHW0oKy6UL46X1tf6TI+KCBE\nXmZjMmQiJkLPiTZEREREdEnY3F+mru5OHK85Il+dr7SWQQiH03iVXwBS4jJ6HhxlyEJcVCIUCqUX\nMyYiIiKi4YrNfT/ZHXaYTx5DSWUeSsz5OF57FN32LqfxSoUfErWm3ivzWUjQGuGn9PdixkREREQ0\nUrC5vwghBGrrK+VlNmXVhWjvbHUaL0FCnCYJab2z5pNjxyDAP9CLGRMRERHRSMXm/gL6O9FGExHX\nc2VenwmjfhxCgkZ5KVMiIiIiov9gcw/A1nIapeYClFQVoNRcgPozVpfx6tDI3ivzWTDqMxERFuWl\nTImIiIiInBuRzX1LexPKqgpRWpWPYnM+rKerXMYHB4bBqB8HkyELaYYsRIfHcqINEREREQ06I6K5\n7+hsw7GaI73LbPJRfbIcAsJpvMo/EKmxY3tnzWchLjoJCknhxYyJiIiIiPpvWDb3Xd1dqLAcRYm5\nZ5lNhbUEDofdabxS6YckXTpMvfPm42NSOdGGiIiIiIacYdfcb3h3BY7XHEGXvdNpjCQpEB+TKjfz\nSbHpUPkFeDFLIiIiIqKBN+ya+2Jz3gW3x0Yl9kyzMWQiNS4DQQEhXs6MiIiIiMizhkRzv3HjRrz4\n4ouwWCzIyMjA+vXrcfXVV7vcJzo8tufKfHwWUuPGISxY7aVsiYiIiIh8Y9A399u3b8fjjz+OTZs2\n4eqrr8aGDRswa9YsFBUVwWAwnBd/z8wlMOrHISIs2gfZEhERERH5zqAfAfPyyy/jgQcewE9/+lOk\npaXh1VdfhU6nw6ZNmy4YP3nM9WzsiYiIiGhEGtTNfWdnJw4dOoSZM2f22T5z5kzk5ub6KCsiIiIi\nosFpUDf3dXV1sNvtiImJ6bNdo9HAYrH4KCsiIiIiosFp0K+57y+bzebrFIYNo9EIgDX1BNbWM1hX\nz2BdPYN19QzW1TNY16FjUF+5j4qKglKphNVq7bPdarVCp9P5KCsiIiIiosFpUDf3KpUKEydOxO7d\nu/ts//TTTzFt2jQfZUVERERENDgN+mU5Tz75JO69915MnjwZ06ZNw+9//3tYLBY8/PDDcoxazRn2\nRERERESDvrn/0Y9+hPr6eqxevRq1tbXIzMzExx9/fMEZ90REREREI5kkhBC+ToKIiIiIiC7foF5z\n766NGzciKSkJQUFBmDRpEnJycnyd0pCycuVKKBSKPv/FxsaeFxMXF4fg4GBcf/31KCoq8lG2g9e+\nffswd+5c6PV6KBQKbNmy5byYi9Wxo6MDjz76KKKjoxEaGopbb70V1dXV3voWBqWL1XXBggXnnb/f\nvyeHdT3f2rVrceWVV0KtVkOj0WDu3LkoLCw8L47nbP+4U1ees/23YcMGjB8/Hmq1Gmq1GtOmTcPH\nH3/cJ4bnav9drK48VwfG2rVroVAo8Oijj/bZ7qlzdsg399u3b8fjjz+OZcuW4bvvvsO0adMwa9Ys\nmM1mX6c2pKSnp8Niscj/FRQUyO+tW7cOL7/8Ml577TXs378fGo0G2dnZaG5u9mHGg09LSwuysrLw\nu9/9DkFBQZAkqc/77tTx8ccfx7vvvou3334bX331Fc6cOYM5c+bA4XB4+9sZNC5WV0mSkJ2d3ef8\n/f4Pfdb1fF9++SUWL16Mr7/+Gp9//jn8/Pxw4403oqGhQY7hOdt/7tSV52z/GQwGvPDCC/j2229x\n8OBBzJgxA7fddpv8s4rn6qW5WF15rl6+b775Bps3b0ZWVlafn18ePWfFEDd58mSxcOHCPtuMRqNY\nunSpjzIaelasWCHGjRt3wfccDofQarVizZo18ra2tjYRFhYmXn/9dW+lOOSEhoaKLVu2yK/dqWNj\nY6NQqVRi27ZtcozZbBYKhUL885//9F7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6jhSsrXuwru7BurrHT1ejuMqwmvzu7m5s3rwZn3/+OSorKwEASUlJuO222/Dg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\nTx7R1d2JspqT0PU/WXawCTh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kcShuLa+N+0hnkPujntd8ZS7HLuzmUPQ2kjNvVDtWBQrsbB1oYOtIAxvH8t+2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\nMkREpCy87IeIaAh75JFHZK91Oh0AwM/Pr8vtDQ0NAIDy8nI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67WnToCuhNZuavFJFp9dx9spxjpzdxbEL+5TFCP/O3zOIvu0epXm9Dhw6dAiw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\nICKyQf31V+6AgAAIIeDp6Sl7GlFHgoODAQA1NTUYO3Zsu+U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XqSrb4+zgBqW7L7zc/ODp7gdPNz94uvves0tQT7zR6qirkbciAI9NfAYhfoZ1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\nIgLA5oCIiIiIiJ5ic0BERERERACA/wOpVqxoWgurXQAAAABJRU5ErkJggg==\n", 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42jvrJRPF5SWwtbZHaaUfHO1dYGdj3+WCizqdFjV11S03/61JQEsiUIHq2qq2xKC2Epo6\ndbcx7zz8MYYNHIXRQ5Iw0H8opBL2wrUEdQ0avSTg5qusshiVNWUQIPT6GqryfKjK83Ey4ycAgI21\nHQK9BiLYOwLB3mEI9o4QZ94joo6YLJBBLl0/D51OCwDwV4bCxcG9z67trwjFrHuexFeHPwIAHDn/\nHcL8hyJ64Og+i+FupNU2o7quqt2NWmXb+1r99xAExIXfg/tHPw4He2dzh94vNDTVIzPvAtJzTiM9\n9zQqam6Ix1IuHcZTD/wJ7s4KM0aoL/XqL/j0h3Xi1Mm/1tBYh4bGOpSpVd2W88OFTwEAMpmVXnIh\nkUhaf6eqUF1XBUHQGSXuJm0jTl8+gtOXj8DdWYmRkZMxcvAki6rbO1Wztgk3qopRUlGIkoqC1lch\nSioLUVNX1eNyHe1d4Oni3fZy9Ya7sxIV1TdwrfgycosykX8jR/w366bGpnpcyU/FlfxUcZ+7kwLB\nPhEI8g5HsHcE/BWhbLkmasVkgQySrjdlqulmQerK+Oj7kZWfigvZJwAA2/b9D/wVofBw8erzWPoz\nQRBQXVuFKk05qsWns1Wo1lR0SAQ09dUGlZ188UeczfoZD4xdiFFDJvMJbiduVBUjLScFabmncSU/\ntcsZvgpu5OLtL/6AJQ+sQIjPoD6OsqOjF37Al4c+FG/g7W0dEKAIRU2duuVVr+5wY3YrWm0zqjTl\nqNKU9yo2CSRwtHeGk9wVTg6ucJK7wlnuBltrO1zMOYX8kqviueXqEvxwYjt+PPEFIgKjMWpIEqJC\nR/LmsBcEQYC6tkJMBFQVBShtTQ7K1CroepD0SSRSuDl6iImAh4sPFDffO3vD3lbe5WeHD5oAAGhs\nbkB+yVXktiYPucWXUVlT1uH88upSlFeX4kxmMoCWJNbfMwT2UlconPwQqg66axLLZm0T1JoK1DfW\nQunmZ/JxiWT5mCzQbdMJOqTnto1XiOyj8QrtSSQSPJ70PPJLslFeXYq6xlp8+sM6vDDnTf5B60JT\ncyOKy/NQeCMXBTeutf7MvWW3jd7Q1FfjiwPv4njqXsxJfAaBXgNNdq3+oFnbhKuFGWKCUFJR0OW5\n9jZyhPpF4tK1c9DqWlp1Nn71Oh5Peh7DB03su6Db0Qk67E7+DD+d2SXuc3dW4rmZK+Hl7i/uEwQB\ndY0a1NS2Jg91VdDUtb2vqVOjUJWH+qZaCJKWMQZdtVDcJLdzgpPcBc5yNzjLXVuTATc4y13gJHeD\nc2ti4Gjv0mU/9Omj5iK/9CpOpB1AyqXD4mrwAgRcun4Ol66fg9zOCQkR4zF6SBL8FCFGqLU7U0NT\nPUoqClFa2ZIQiC0FlYVoaKwzuDwrmTU8XLzg6eINhYsPPF3bWgrcnZW9/rtuY2WLUN/BCPUdLO5r\naXnIRG5xJq4VZ+J6yRU0NTfqfU6rbcY1VRYA4FLRLziauQtuTgoM8I3EAL9IhPpGwtvdv8sudJZI\nJ+igqVOjsqYcak05KmvKWhL1mvLWn2Wo0lTotfbIbR0REzYGCYMmINR3MB/+3KUkgiD0vkPgHaaq\nqu1/FBcXFzNGYlmuFWfh7R2vAAAc7J3x1yX/C6kBg8RSUlpaJRISet8ikVuciXf+vUJ8ipkY+yAe\nGr+o1+X2RzfrNT4+HpU1ZWIyUNiaGJRUFPToqd5NEkjgYO/cdqMmdxVv0MTt1p+5xZnYefgjlFeX\n6n1+TNRUzBgzHw52Tr3+vn2lt7+vVZpypOeeQXpOCi7lne/2RsrHIxCRwfGIDI5HqM8gyGRWuFKQ\nho//8ze9lp0pCQ/j/jHz+/Qf7KbmRmzd+w7OZR0T9wV6heHpB/4EZwdXg8v7db02NjXoJRM6nRbO\nDm6tv1suRn8I0NTciItXT+FE2n5cvn6+0z7xAcoBGBU5GfER4yG36x+Dom/Wa0xsNLIL0pGZdwF1\nDRroBC10Oh10gq71pxZanRaCoGv5qdNBK9z8qRO3dTpt62e04mcbm+p73ALk5qSA0s0XXm5+ULr5\nQeHa8t7VydPsN6BabTMKy64ht+gycluTiNLKwlt+zsHOCaG+gzHALxIDfCPhrwiFTGaeZ7ANjXWo\nFG/4y1FZ0/b+ZjKg1lRAq+t6UPituDl6Ii5iHBIiJsBPEdzrmI15T0BtTHEPy2ShE0wWOvf9ie34\n8eQOAMDwQROxYOoygz5v7D8MP53ZhV1HPxW3n3rgj4gKHWGUsi1dY1MDisquo/BGLs6mn0KFRoXq\nhnLxientsLW2g7uzEs7ythuzlkSgbdtZ7gYHe2eDZg5pbGrAvpSvsP/0Tr3ZShzsnPDg2IUY2U+6\nJhn6+6rTaXG9JLu19SBFr9vLr1lb2SDcfxgiQ+IRGRwHD+fOu9HdqCrG5t1/RXF5nrhv2ICRWHDv\nsj4Z+FxTp8aH376JnKJL4r6o0BFYOO0l2LaufWIoS7pBKFeX4GTGQZxMP4BydUmH49YyGwwbOAqj\nIicjLCDKYn9v1ZoKfHfoKxRUXIGq+lqPnvAbg72NvCURaJcUKF39oHD1gY21rVli6qmaOjWuFWfi\n+JlDKKnOR7mm6JatYDbWdgj2DhdbH4K9I4z2vbXa5pauUuqS1tmgSlpnilKhTK0yakuxRCKFs9wV\nAgSoNR0nMQBaHnAkRExAfMQ4uDsre3QdS/pbcCdhstBHmCx0bt32P+B6yRUAwJPT/4C48HsM+ryx\n/zAIgoDN3/4Vaa3jKOR2Tnj18X/AzenO6Veq1TbjhloFVXkeisqut7QYlOaitLLotmcJkUACTxdv\n+HoGwdczGH6KYPh6BsPdWWnSm5/SyiJ8dehDvSkMASDIOxxzJj7d512TNHVqnLtyHGm5p9HYWAeJ\nVAqJRAopJG3vJVJIJBJIJVJUVFRAIpHC08NT3Kd3TutnJBIpamqrkHH9bLf/YLs7KzEkOAFDQuIx\n0H8obKxu7yairqEWW358W68LoJ9nsMkHPpdWFuH9b97Qe8I6Pvp+zB6/yKAWxV+zxBsEnaBDVt5F\nnEg/gPNXjnc6hsSSBkXrBB3yVNlIy01Bes5p8e9yX5BKZfB09mpJBMSXL5SufnCSu/Srbjm34+bv\na2xsDPJLryK7MB3ZBem4Wphxy/FcUqkMAcoB7bouDe6ydfXmmI+yqhKUqYtRVqVCmboEZWoVyqpU\nLTNDGWGwv72tA1wdPeDi4N7ycvSAi4Nb6093uDp6wFHe0qVPJ+iQU3gJKZeP4GzWz6jt4vsO8I1E\nfMR4xIaNMWhiC0v8W3AnYLLQR5gsdKTWVOD1j34LAJBKpHjzmc8MnrPcFH8YNHVqrN32ojhgLcRn\nEH7/8BqzNQX3VH1jHUoqClBcntf6Mx+qinzcqCw2qNnY3kYOX8/g1lcQ/BQh8HEPMNv0m4Ig4OLV\nU512TRobNRX3m7hrUn1jHS5ePYnTl4/i0vVzBg++7Q2pVIZQ38FiguDl1vP+zTqdFt8kb8HBs7vF\nfU5yVyyZ8ZpJBj7nFF3C5m/fFJMfCSSYNe63mBj7QK9vBi39BqG2vganLx/B8fT9nbYOSSBBeOAw\nhPpGwqu1O43SzbfHLS23q66hFpevn0NabsusWdW1lV2e6+HshSEh8VC6+UMmlUEqkUIqlUEqlUIq\n+fXP1mMSaRfHW39KZbCSWsHV0aPf/X3tja5+X3WCDqryAlxtTR6yC9NR0e5vXFd8PAIR6hsJTxcv\nlKtLxWSgXF2CJm3jLT/fFZnUCq5ObTf8zg7ucHVsnxC0vO9pS0eztgkZ187i9OUjuHj1VIcxHjdj\nGBwUi4RBEzA0ZPgtr2Xpfwv6KyYLfYTJQkcn0g5g2/7/AQAM8BuCFx75q8FlmOoPw9XCDGz88k9i\nv/ykhIfx4NgFRr2GMdx8cqQqL4CqPA+qioKW+b8r8judnaM7EokUSldf+HoGQWiwhpuDEhNGTYGb\nk6dFPtlr6Zr0Jfaf/lq/a5K9Mx4cs8CoXZOamhuRnnsapy8fRVpOSq/+ATaUk9xVHHswKDAa9rYO\nRi3/eOo+/N/BD8QE0kpmjXlJz4szvxjDuaxj2LrnHbHerGU2WDB1GWLCxhil/P50g5BfehUn03/C\nL5cOd/lU9SZXR4+2J+2uvlC6+cHLzQ9uTp49bokpqShAWs5ppOWmILsgvcsHB1KJFAonf/i5hWHa\n+Fm9SkxJnyG/r+XqUmQXpuNqa/LQvvugMbg4esDDWQkPZy94uHi1+6mEi4N7r1r8DFHfWIcL2SeQ\ncvlIy7ifTlo8bK3tED1wNOIjxiM8YFinXVn709+C/oTJQh9hstDRx9+txfkrxwEAD45diKSE2QaX\nYco/DPt++QrfHtsqbj87cyUig+OMfp3bIQgCblQVo7g8T1wMqCUxyENdY63B5bk5ekLp7gdv94CW\nbkSewfB2DxCf2vSnP7glFYXYefijTrsmPZr4DAKUA3pUrlbbjMt5F3Am8yjOZ5/oss92sHcE4iPG\nwds9AIIgQCfoIAi61p9C6/uWn9nZVyAIAoJDglv263QQILT81PuMAKlUihCfQfBXhpq8X7upBj4L\ngoBDZ7/FrqP/K3Zxc7B3xtMP/NGorRf96ff1ptsZFN0VK5k1FK4+YgJx8+Xl5tdh8HSztgnZBeni\nrFndDbJ1sHdGZFAchoQkYFBQDNIvtowr6U/12h/05vdVU6dGdmFGS+tDYQbySrK7bd2U2zrC3aU1\nGfhVQuDupIC1lU2Pv4epqDWVOJuVjJRLh8XZo37NSe6KuPB7kBAxHoFeYWIi21nd3vy7rDfAvt0g\n+/aD83WCFjKpFRSuPqb/ov0Ik4U+wmRBX7O2CSs2LxRvwFY8sRE+HoEGl2PKmwSdoMP737yBS9fO\nAmj5h/TVx9fD1dHD6NfqTrm6BJ/9uB5XizIM+pxUKoPC1Qfebv7wcm99uflD6eYHu1t0IepvN18t\nXZNOYufhjzt2TRo2DTNGz7+tGWh0gg5XCzNw5vJRnL1yrMvxAr6ewYgPH4e48HsMWo/DkuvV2AOf\ndTotdh75BEfOfyfuU7j64tmZ/230f4gtuV5vR7m6FJeun2u3uFgBbqhVPeri5mDvDC/Xlj7/dQ2a\nW86a5acIae3WloAgr4F6T5L7e71aKmPWa0NTPa4VZyK7IB2a+mq4Oyvg4ewFd2cveLgoDe7aa2lK\nK4uQcvkITl86jJIuEl0He2fIJC3jIRqbGiAIOkgkktYZuHQGj8vw9QjCa09sMEb4dwxT3MP2qOOh\nWq3GyZMnUVJSgqSkJHh5cUGsO9nVwgzxHzB3JwW83QPMHFFHUokUC+59AWu3vQi1pgKaOjW2/PgP\nPD/7LwbN5NMbGdfOYsuP/+i2u4KdjRxebn5iMnAzMfB09rpr+gFLJBIMGzAKgwJj9bomCRCQfOEH\nnM36uWXWpMhJHZ6UC4KAvJJsnMk8ijOZyV1231K4+CAuYhziwsfBx8Pyfl97y9PFGy8+uhZbflgn\nttJcyD6Jd/69wuCBzw1N9djy4z+QevWUuC/UZzCWPLACjlyFuwN3ZwXGDJ2it+/mRATiysTtEonq\nblYo1tSpcbVO3eXDBRsrW4QHRmNoSAIig+P7/OEHGZettR3CA4YhPGCYuUMxCYWrD6aPfAzTRjyK\nvJJspFw6jDOZyVDXts2oZOz1fbRC341Du5sZfHfy5ptv4s0330RtbS0kEgn27dsHLy8v3LhxA4GB\ngfjHP/6BZ5991hSxkpmktVu1OTIkwWL7wjrJXfGbaS/hnztXtXQjKUjDjyd34P7Rj5v0ujpBhz0n\n/w8/ntwhdk+QSmUY6DcE3u7+ULr5w7s1OXB2cLPY+utrNta2uH/0fAwflIivDn+EjNabXk2dGtv3\n/xPHU/dhTuLTCFAOQFFZXkuCcPkoSquKOi3PxdED8eH3IC58HAKUA+74era3lePpB/+EXclbcKh1\n4HPBjVy8veOV2x74rNZUYvO3f8X1dt0HYsLGYMG9yyyyy4OlksmsWh4CuPl1OFbbUIPSipsLmBWK\nC5iVVhR2Op6mZXByS+vBQL8h/O9A/Y5EIkGg10AEeg3ErHFPIis/FSmXDuNc9vHbmta3bUB+2+B8\nmUQKiVQKmUSmd6yraafJuAxKFt5//328/vrrWLJkCaZMmYLHHntMPObp6YmZM2fi3//+N5OFO0xa\nuykbh5j3kc4bAAAgAElEQVRh1WZDhPlHYdrIx/DDie0AgL2n/o2BfkMQERhtkutp6tT4bM874o0u\nALg4uOO3972it2IodU3p1tLd5eLVk/jq8MfijCK5xZex7otXoHD16XLFYwc7J8SEjUV8xLi7cnVR\nqVSG2eMXwcc9ADsOvg+dTovq2kr8z1f/fcuBz8XleXj/mzf01heYHD8LD4xdeNfVoynJbR0R5B2O\nIO9wvf06QYfK6hviKsgSiQThAcM4OJnuKFKpDBGB0YgIjMZj2udQXVspzrB14fxFSCQSxMcnQCqR\nQSZOR83ff0tjULKwceNGzJkzB5s3b0ZZWcfm/9jYWLzzzjtGC47Mr7SySLxRs7ayQVhAlJkjurWp\nwx9Bdn4qMvMvQoCAz/asx6uPr4ezg5tRr3NddQWffLdWr999mH8UfjPt5R6tbHs3a981ae8vX+LA\nmdauSYKuQ6Jga2OP6AGjEBc+DhEBw+6a7lvdGT10CjxdffDJd2uhqa9Gs7YJW/esh6o8D/eNfrzD\nzX9Wfio++s9bqGvQAGiZXeuRCUswLvo+c4R/V5JKpHB3VsLdWYnBQbHmDofI5Kxk1nrrINla27f+\nNO20w9R7Bj0+unr1KiZPntzlcTc3N5SX92wpeLJM7ReCCvcfdtsLSZmTVCrDwmkvwcm+ZWBPdW0l\nPtuz3mhz7AuCgJ8v7sH6f7+mlygkJTyM/3poNROFXrCxtsWMMfOxYv5GDGp3A2Uts0HMwDFYfP+r\nePOpLXji3hcQGRzHRKGdMP+heHnu3/XGFO395Ut88t3/02v6T7l0GO/tWi0mCjZWtnhqxgomCkRE\n1CmD/qV1c3NDSUlJl8fT0tLg48MprO4k+uMVLLsLUnvODm5YOO0lvPf1aggQkJl3AftSvsLUEY/2\nqtzGpgb838H3cSrjoLjPzkaOJ+59AcMGjOxt2NRK6eaL52auRFZ+KmrrqxERGAN7W7m5w7J4LQOf\n/4YtP7zdbuDzCbzzpQpPzfgjUi4fxn+O/Us831nuhqcf/FOfr6ZNRET9h0EtC/fffz82b97caevB\nhQsX8OGHH2LmzJkGBXD06FHMnDkT/v7+kEql+Oyzzzqcs3r1avj5+UEulyMxMRHp6el6xxsbG7F0\n6VIoFAo4Ojpi5syZKCjQ77pQWVmJBQsWwNXVFa6urli4cKHe9FLUUUNjHbIKUsXtIcH9a0q+iMBo\n3DviEXH7+xNfICs/tZtPdK+0sgjr/+9VvUTB1zMYr8x7m4mCCbT04Y5CTNgYJgoGsLd1wNMP/gkT\nYx8U9xWU5uCvW3+nlyh4uwfgpcfWMlEgIqJuGZQsrFmzBhKJBEOHDsVrr70GiUSCTz75BHPnzsWI\nESPg4+OD//7v/zYogJqaGkRFRWHjxo2QyzveEKxduxbr16/Hu+++i5SUFCiVSkyZMgUajUY854UX\nXsDXX3+NHTt2IDk5GWq1GjNmzED7JSTmzZuHc+fOYe/evdizZw/OnDmDhQsXGhTr3eZy3gVxtV0f\nj0CDpmO0FNNGzsUA30gAgCDo8NmP/0B1reFJ4oXsk1i3/WUU3MgV940YnIiXHl3LBWHI4twc+Dx3\n8u/Eufibmttm3gnzj8KyR9+Cu7PSXCESEVE/YVCy4O3tjZSUFMyYMQM7d+6EIAjYtm0bfvjhB8yf\nPx/Hjx+Hh4dh80BPnz4da9aswezZszsdAb9hwwasWLECs2bNQmRkJLZs2YLq6mps27YNQMuaD598\n8gnWrVuHSZMmISYmBlu3bsWFCxewf/9+AEBGRgb27NmDDz/8ECNGjMDIkSPxwQcf4Ntvv0VWVucr\nDhKQntvWBam/tSrcJJPK8JvpL8PBzgkAUKUpx7/2boDuNhd+0eq02P3z1pbBoK2rL8tkVnhs0nOY\nP+X34irKRJZozNAp+N1DfxZ//wFg+KCJeG7Wyn6/ABQREfUNg+fHUygU4mxIKpUKRUVFqKiowMcf\nfwyFwrhPnnNyclBcXIwpU9oWwLGzs8P48eNx7NgxAC2rKzY3N+ud4+/vj8GDB4vnnDhxAk5OThg1\napR4ztixY+Hg4CCeQ/oEQUBabtt0oEP60XiFX3N19MCCqcvE7YxrZ3Dg9K5bfk6tqcR7X6/G/pSv\nxH3uTgq8OOdvGBs1ldO7Ub8Q5j8Uf5i3DpPiZmH+lN/jiXtfgJXM2txhERFRP9GrqUSMnRz8WnFx\nMSQSSYcVor28vFBY2LKUuEqlgkwm69Ci4eXlheLiYrGczmJVKpXiOV25udT73aZco0JV6+q4NlZ2\nKCvUoKLIOHVhrjod4jcaaQXHAQD/+XkrmtQSKJ07X923RJ2Hw5d3oq6xbTVmX9cBuCd8JkryKlGS\nZ3m/F3fr76qp3Sn16m8/FKgFTp8+feuT+8CdUq+WhvVqGqxX02HdGldYWJjRy+w2WfjLX/5icIES\nicTgcQtkeQrK27pn+bqG3hGLNMUGTkSJOg+l1fkQIODI5a8xI2YJ7KzbxsoIgoBLRb8gJXc/hHZd\nlaIDxmNYwDi2JhAREdFdpdtkYfXq1R323bxZaj94+OZ+QRCMmix4e3tDEASoVCr4+/uL+1UqFby9\nvcVztFotysrK9FoXVCoVxo8fL55TWlqKXyspKRHL6UpCQv/sq99bR69+Kb4fF38vEgb1vh5uPj0w\nZ50OHBSK/7ftRdQ21KC2UY300qN46oE/QiKRoKGxDtsPvIszOcni+XI7Jyyc+iIig+PMFvOtWEK9\n3olYr6bBejUN1qtpsF5Nh3VrGqaY6bPbx8U6nU7vlZeXh6ioKDzxxBP45ZdfUFVVhaqqKpw6dQpP\nPPEEoqOjkZeXZ7TgQkJC4O3tjX379on76uvrcfToUYwdOxYAEB8fDysrK71z8vPzkZGRIZ4zevRo\n1NTU4MSJE+I5x44dQ21tLcaMGWO0eO8Umjo1coszAQASSDA4yHJvlA3l7qzA/Ht/L26n5vyCQ2e/\nRXF5HtbteAVnMtsShUDlQCyf97ZFJwpEREREpmTQmIXf/e53iIiIwJYtW/T2JyQkYMuWLXj00Ufx\nu9/9Dl9//fVtl6nRaHDlyhUIggCdTofr16/j/PnzcHd3R0BAAJYtW4a33noLERERCAsLw5o1a+Dk\n5IR58+YBAJydnbF48WIsX74cCoUC7u7uePnllxETEyOuNj1o0CBMnToVzzzzDD744AMIgoBnn30W\nDzzwgEn6dvV36dfOil1wgnzC4WjvbOaIjCsqdAQmxj6IQ2d3AwC++XkLvj+xDQ1N9eI5Y6OmYfb4\nxbC24kBQIiIiunsZ1BH9p59+wsSJE7s8npiYiAMHDhgUQEpKCmJjYxEfH4/6+nqsWrUKcXFxWLVq\nFQBg+fLlePHFF/H8889jxIgRUKlU2Lt3LxwcHMQyNmzYgIceeghz587FuHHj4OzsjN27d+v1L9++\nfTuio6Mxbdo0TJ8+HbGxsZ0uAEdAek7/nzL1Vh4cuwCBXi2Jok6nFRMFaysbPHHvC3hs0rNMFIiI\niOiuZ1DLgp2dHY4fP47nnnuu0+M///wz7OzsDApgwoQJ0Om6n/N+5cqVWLlyZZfHra2tsWHDBmzY\nsKHLc1xcXJgc3AatTouMa2fF7f48ZWp3rGTW+O30P+D/bXtRXD9B4eKDRfe/Cj9FsHmDIyIiIrIQ\nBrUszJ8/H59//jmWLl2KS5cuobm5Gc3Nzbh06RKef/55bN++HfPnzzdVrNQHcosuo7ahBgDg4ugB\nP88QM0dkOh4uXlg84zX4egZjZORkvDzv70wUiIiIiNoxqGVh7dq1uHHjBt5991289957ejMjCYKA\nefPmYe3atSYJlPpGWm7bHOxDguPu+KlCwwOG4bX575g7DCIiIiKLZFCyYGNjg61bt+KVV17B999/\nj2vXrgEAgoKCMH36dERHR5skSOo77ccrRN6h4xWIiIiI6Pb0aAXnYcOGYdiwYcaOhcysXF2KwrKW\nBFAms0JEAP8bExEREd3N+v+yvGQ06e26IA30GwJbG3szRkNERERE5mZQy4JUKr2tPuxarbbHAZH5\npOXe+VOmEhEREdHtMyhZWLlyZYdkQavVIjc3F7t27UJERARmzJhh1ACpbzQ2NyAz74K4PSSEyQIR\nERHR3c6gZGH16tVdHisqKsKoUaMQHh7e25jIDK7kp6KpuREAoHT1hcLVx8wREREREZG5GW3Mgo+P\nD5599lm88cYbxiqS+lBaTtt4hUi2KhARERERjDzA2cHBATk5OcYskvrIpfarNgffmas2ExEREZFh\njJYspKamYuPGjeyG1A+Vq0tRWlUEALCW2SDUN9LMERERERGRJTBozEJISEinsyFVVlaiqqoKcrkc\nu3btMlpwlkAQhDt+FeOs/Ivi+1DfwbC2sjZjNERERERkKQxKFiZMmNDhxlkikcDNzQ0DBgzA3Llz\n4e7ubtQAzS27MB0D/YaYOwyTap8shAVEmTESIiIiIrIkBiULn376qYnCsFz7f/nqjk4WBEHQmzI1\nnKs2ExEREVErg8YsLFq0CCdPnuzy+KlTp7Bo0aJeB2VJ0q+dQUFprrnDMJnSyiJU1pQBAGxt7BGg\nHGDmiIiIiIjIUhiULHz66afIzs7u8nhOTg62bNnS66Aszf7TO80dgsm074I00G8IZFKZGaMhIiIi\nIkti1KlTy8rKYGtra8wiLcLZzGSUVanMHYZJsAsSEREREXXllmMWjhw5gkOHDonbO3fuxJUrVzqc\nV1FRgS+++ALR0dFGDdAS6AQdfjrzDeYkPm3uUIxKJ+iQ2a5lIdyfyQIRERERtbllsnDw4EH8+c9/\nBtAy89HOnTuxc2fn3XKGDBmCjRs3GjdCC3EibT+mjXwUTnJXc4diNEU3rkNTpwYAONg7w8cz0MwR\nEREREZEluWU3pOXLl6O0tBQlJSUQBAHvv/8+SktL9V43btxAbW0tLl68iOHDh/dF3H3GXxkKAGjS\nNuLI+e/MHI1xZea3dUEK8x8KqcSovdKIiIiIqJ+7ZcuCvb097O3tAbQMYFYoFJDL5SYPzFIkxc/G\npz+sAwAcPf8DJsfPhp2NvZmjMo6sPHZBIiIiIqKuGfQoOSgo6K5KFAAgZuBoeLp4AwBqG2pwLHWv\nmSMyDq1OiysFaeJ2OBdjIyIiIqJf6bZlITExEVKpFHv27IGVlRUmTZp0ywIlEgkOHDhgtADNTSqV\nYXL8Q9jx0yYAwMGzuzE++j5YyazNHFnv5Jdko76xFgDg4ugBhauvmSMiIiIiIkvTbcuCIAjQ6XTi\ntk6ngyAI3b7an3+nGDE4URzYXFVThpRLR8wcUe9l6nVBioJEIjFjNERERERkibptWWg/ZWpn23cL\naysbTIx5AN8e2wqgZZG2EZGJ/XpAcPvBzVxfgYiIiIg6Y9Dd7pEjR1BaWtrl8Rs3buDIEeM/da+p\nqcGyZcsQHBwMuVyOe+65BykpKeLxkpISPPnkk/Dz84ODgwPuu+++DmtBTJw4EVKpVHzJZDI8/vjj\ntx3DPcOmwc6mZbxGSUUBUq+eMs6XM4Om5iZcLcwQt8P8OV6BiIiIiDoyKFlITEzEvn37ujx+4MAB\nJCYm9jqoX1u8eDH27duHrVu3IjU1FVOmTEFSUhKKiooAADNnzkR2djZ2796Nc+fOITAwEElJSair\nqxPLkEgkWLRoEVQqFYqLi1FUVIQPPvjgtmOwt3XAPVHTxO19KTshCILxvmQfyi2+jKbmRgCAwsUH\n7s4KM0dERERERJbIoGThVjfHjY2NkEqN2zWnvr4eO3fuxNq1azFu3DiEhoZi1apVGDhwIDZt2oSs\nrCycPHkSmzZtQnx8PMLCwrBp0ybU1dVh+/btemXJ5XIoFAoolUoolUo4OTkZFMuE2BmQyVp6bl0r\nztSbTag/aT9lahhnQSIiIiKiLtzyzl6tVuP69eu4fv06AKCsrEzcbv86f/48tm3bBj8/P6MG2Nzc\nDK1WC1tbW7399vb2SE5ORkNDAwDoHZdIJLC1tUVycrLeZ7744gsoFAoMHToUr7zyCmpqagyKxcXB\nHSMHt80ItT+l85WsLR3HKxARERHR7ZAIt2gu+POf/4y//OUvt1WYIAj429/+huXLlxsluJvGjh0L\nKysrbN++Hd7e3ti2bRuefPJJhIWFITU1FQMGDMDw4cOxefNmODg4YP369VixYgWmTp2KH374AQDw\n0UcfISgoCL6+vkhLS8Nrr72G8PBw/Pjjjx2uV1VVJb7PysrSO6auK8euM++J2zNinoK7g5dRv68p\nNWkb8cXJdRCEllmr5gxfBnsbRzNHRURERES9FRYWJr53cXExSpm3XMH53nvvhaOjIwRBwPLlyzFv\n3jzExcXpnSORSODg4ICEhATEx8cbJbD2/vWvf2HRokXw9/eHlZUV4uLi8Pjjj+P06dOQyWTYuXMn\nlixZAg8PD1hZWSEpKQn33XefXrepJUuWiO+HDBmC0NBQjBgxAufOnUNMTMxtx+Js744gj8G4VtYy\nQDg1/xjGRzxkvC9rYiXqPDFRcJUrmCgQERERUZdumSyMHj0ao0ePBgBoNBrMnj0bUVF92889JCQE\nBw8eRF1dHdRqNby8vDB37lyEhoYCAOLi4nDmzBlUV1ejsbERHh4eGDVqFIYPH95lmfHx8ZDJZMjK\nyuo2WUhISOiwTxnginVf/AEAcK0sA8FhS8VVni1dQXLbOIvo8JGdfj9TuTmDVV9e827AejUN1qtp\nsF5Ng/VqGqxX02Hdmkb73jHGYtBo5FWrVvV5otCevb09vLy8UFFRgT179mDWrFl6x52cnODh4YGs\nrCykpKR0ON7ehQsXoNVq4ePjY3AcgV4DEREQDQAQBB1+OvONwWWYS/vBzRyvQERERETd6bZl4bPP\nPutRoQsXLuzR57qyd+9e6HQ6DBo0CFlZWVi+fDkiIyPx5JNPAgC+/PJLeHp6IigoCBcuXMCyZcsw\ne/ZsTJ48GQBw9epVfP7557jvvvvg6emJtLQ0/OEPf0B8fDzGjh3bo5iSEmbjct55AMDJtAOYPvIx\ncZVnS1VbX4O8kmwAgEQixQC/SDNHRERERESWrNtk4ebNuCEkEonRk4WqqiqsWLECBQUFcHd3xyOP\nPII1a9ZAJpMBAIqKivDSSy+hpKQEPj4++M1vfoPXX39d/LyNjQ0OHDiAjRs3oqamBgEBAZgxYwZW\nrlwJiUTSo5jCA4YhQDkAeSXZaNI24vC57zBjzHyjfF9TuVKQCgEt4zgClAMgt+V4BSIiIiLqWrfJ\nQk5OTl/F0a05c+Zgzpw5XR5funQpli5d2uVxf39/HDp0yKgxSSQSJCXMxv9+/3cAwNEL3yMpYTbs\nbOyNeh1jymzfBYmrNhMRERHRLXSbLAQFBfVVHP1S9IBRULj4oLSqCHUNGhxL3YNJcV2PkzC3rHwu\nxkZEREREt8+4yy3fZaRSGSbFtyUHB8/sRlNzkxkj6ppaU4mispaF9WRSK4T6DjZzRERERERk6W45\ndeqvqVQqfPzxxzh9+jSqqqqg0+n0jkskEhw4cMBoAVq6EYMT8cOJL6CurUCVphwplw9j9JAkc4fV\nQftWhWDvcNha25kxGiIiIiLqDwxqWUhNTcWQIUPwxhtvIDs7GwcPHkRpaSkyMzNx6NAh5OXl4RYL\nQt9xrK1sMCH2AXH7wOmvoRN03XzCPLLyL4jv2QWJiIiIiG6HQcnCihUrYGdnh4yMDOzfvx+CIGDD\nhg3Iz8/H559/joqKCvz97383VawW656oqbCzkQMASioKcDH7lJkj6qj94OYIrq9ARERERLfBoGQh\nOTkZzzzzDIKDgyGVtnz0ZjekefPm4bHHHsMrr7xi/CgtnL2tA+6JmiZu70/5yqJaWMrVJbhRVQyg\npSUkyDvczBERERERUX9gULLQ2NgIX19fAC2rKQNAZWWleDwmJga//PKLEcPrPybEzoCVzBoAcE2V\nhSsFqWaOqE37VoUBvpFinERERERE3TEoWQgKCsL16y0z6tjb28PHxwfHjx8Xj6empsLR8e5c6MvF\nwR0jBieK2/tSdpoxGn2ZeuMV2AWJiIiIiG6PQclCYmIidu3aJW7Pnz8fGzduxJIlS7Bo0SK89957\nmDlzptGD7C8mxz8EiaSlSi9dO4v80qtmjggQBAFZXIyNiIiIiHrAoKlTX331VUyaNAkNDQ2wtbXF\nG2+8gYqKCnz55ZeQyWRYsGAB1q1bZ6pYLZ7C1QcxA0fjbNbPAID9KV/jyekvmzWmkspCVGnKAQD2\nNnL4K0PNGg8RERER9R8GtSwEBgbi4Ycfhq2tLQDA1tYWH374ISoqKnDjxg188sknd203pJuSEmaL\n789m/SwOLDaXzLy2LkgD/IdCJpWZMRoiIiIi6k+4grORBSgHICIwGgAgCDr8dHrXLT5hWuyCRERE\nREQ9xWTBBJLi21oXTqb/BLWmspuzTUcn6PRWbg7n4GYiIiIiMgCTBRMIDxiGQOVAAECTthFHzv/H\nLHEU3siFpr4aAOBo7wIfj0CzxEFERERE/ROTBROQSCSY3G7swtELP6CuobbP42i/vkJ4QBQkEkmf\nx0BERERE/ReTBROJHjASCteWBezqGjQ4lrq3z2NoP14hjOMViIiIiMhATBZMRCqVYXL8LHH70Nnd\naGpu6rPra7XNeqtIc7wCERERERmKyYIJDR+UCGcHNwBAlaYcKZcO9dm1r5dko6GpHgDg5ugJTxfv\nPrs2EREREd0ZmCyYkLWVNSbGPCBu7/3lSzQ2N/TJtbPara8QxvEKRERERNQDTBZMbGzUNMhtWxaq\nK1OrcCDl6z65bianTCUiIiKiXmKyYGL2tnLcP2a+uL0/ZSfKqlQmvWZTcyNyCi+J2xzcTEREREQ9\nwWShD4wdei/8laEAWtZd+OrIxya9Xk7RZTRpGwEASldfuDl5mvR6RERERHRnYrLQB6RSGeZMfFrc\nTr16Cmk5KSa7XlZ++/EK7IJERERERD3DZKGPhPgMwsjIyeL2V4c/QlNzo0mu9evF2IiIiIiIeoLJ\nQh96cOwC2Ns6AABuVBXjpzO7jH6N+sY6XFNlidsD/YYa/RpEREREdHfoF8lCTU0Nli1bhuDgYMjl\nctxzzz1ISWnrxlNSUoInn3wSfn5+cHBwwH333YcrV67oldHY2IilS5dCoVDA0dERM2fOREFBQZ9+\nDye5K+4f/bi4vfeXL1GuLjHqNa4WpkOn0wIAfD2D4SR3MWr5RERERHT36BfJwuLFi7Fv3z5s3boV\nqampmDJlCpKSklBUVAQAmDlzJrKzs7F7926cO3cOgYGBSEpKQl1dnVjGCy+8gK+//ho7duxAcnIy\n1Go1ZsyYAUEQ+vS7jI2aBj/PYAAtsxZ9feQTo5av1wWJsyARERERUS9YfLJQX1+PnTt3Yu3atRg3\nbhxCQ0OxatUqDBw4EJs2bUJWVhZOnjyJTZs2IT4+HmFhYdi0aRPq6uqwfft2AIBarcYnn3yCdevW\nYdKkSYiJicHWrVtx4cIF7N+/v0+/j0wqw5zEZ8Tt89knkHHtrNHKz8zXX4yNiIiIiKinLD5ZaG5u\nhlarha2trd5+e3t7JCcno6GhZUXk9sclEglsbW2RnJwMAEhJSUFzczOmTJkinuPv74/Bgwfj2LFj\nffAt9IX6DsaIwYni9leHPkRTc1Ovy9XUV6OgJAcAIJVIOV6BiIiIiHrFytwB3IqjoyNGjx6NNWvW\nYMiQIfD29sa2bdtw/PhxhIWFYfDgwQgMDMQf//hHbN68GQ4ODli/fj3y8/PFbkoqlQoymQweHh56\nZXt5eaG4uLjb67cfG2FMQY7ROCs7hiZtA0oqC/Gv/7yHKP+xvSrzWtklCGjpVuXu4IO0i+nGCNXo\nTFWndzvWq2mwXk2D9WoarFfTYL2aDuvWuMLCwoxepsW3LADAv/71L0ilUvj7+8POzg7//Oc/8fjj\nj0MqlUImk2Hnzp3Izs6Gh4cHHB0dcfjwYdx3332QSi3369nbOCImcIK4fTEvGZqGql6VWVyZK773\ndg3qVVlERERERBbfsgAAISEhOHjwIOrq6qBWq+Hl5YW5c+ciNLRlVeS4uDicOXMG1dXVaGxshIeH\nB0aNGoXhw4cDALy9vaHValFWVqbXuqBSqTB+/Phur52QkGCy7xWri0XBtssoLLuGZl0TsqtOY9F9\ny3tc3p6MT8X3E4ZPRURgtBGiNJ6bTw9MWad3I9arabBeTYP1ahqsV9NgvZoO69Y0qqp69+C5M5b7\n6L0T9vb28PLyQkVFBfbs2YNZs2bpHXdycoKHhweysrKQkpIiHo+Pj4eVlRX27dsnnpufn4+MjAyM\nHdu7rj+9IZPK8Ehi28rO57KO4fL18z0qq0pTDlV5fku5MiuE+AwySoxEREREdPfqF8nC3r178eOP\nPyI3Nxf79u3DpEmTEBkZiSeffBIA8OWXX+LQoUPIycnBN998g3vvvRezZ8/G5MktKyY7Oztj8eLF\nWL58OQ4cOICzZ89i4cKFiImJEc8xl4F+Q5AQ0dYd6ctDH6JZa/hg56x2U6aGeEfAxtq2m7OJiIiI\niG6tX3RDqqqqwooVK1BQUAB3d3c88sgjWLNmDWQyGQCgqKgIL730EkpKSuDj44Pf/OY3eP311/XK\n2LBhA6ytrTF37lzU1dUhKSkJW7duhUQiMcdX0jNz3G9wMecUGhrroKrIx+Fz/8Hk+IcMKiMzvy1Z\nCAsYZuwQiYiIiOgu1C+ShTlz5mDOnDldHl+6dCmWLl3abRnW1tbYsGEDNmzYYOzwes3FwR3TR87F\nrqP/CwD44eQOxEeMh6ujxy0+2SaLi7ERERERkZH1i25Id4MJ0ffDxyMQANDYVI9dRz+97c+WValQ\nplYBAGys7RDkbfxps4iIiIjo7sNkwULIZFZ4ZOJT4vaZzKPIbNda0J3MvLZVmwf4RsJKZm30+IiI\niIjo7sNkwYKE+UchLnycuP3loc3Qaptv+bn24xXCA9gFiYiIiIiMg8mChZk17knYWtsBAIrL83D4\n/IetppkAABU7SURBVHfdni8Igt54hTCOVyAiIiIiI2GyYGFcHT0wbeRj4vYPJ79Alaa8y/NVFflQ\n11YAAOxtHeCvCDF5jERERER0d2CyYIEmxMyAl5s/AKChsQ7fHN3S5bmZeq0KQyGVykweHxERERHd\nHZgsWCArmbXeYOeUy4dxpSCt03Oz2g1uZhckIiIiIjImJgsWKiIwGjFhY8TtLw9uhlan1TtHJ+iQ\nlZ8qbodzMTYiIiIiMiImCxbsoXG/hY2VLQCgsOwajp7/Xu94QWkuahtqAABOcld4uwf0eYxERERE\ndOdismDB3JwUmDriUXH7+xPbodZUiNvt11cI94+CRCLp0/iIiIiI6M7GZMHCJcY9CKWrLwCgvrEW\nu3/+TDymN16BXZCIiIiIyMiYLFg4K5k1Hm432PlUxkFcLcyAVtuMK4Xp4n4uxkZERERExsZkoR8Y\nHBSL6AGjxO1/H/wAOcWX0dhUDwBwd1LAw9nLXOERERER0R2KyUI/8dD4xbC2sgEAFNzIxY4Dm8Rj\nYQHDOF6BiIiIiIyOyUI/4e6swL3D54jbqop88T27IBERERGRKTBZ6Ecmxc2CwsWnw/5wfw5uJiIi\nIiLjY7LQj1hbWePhiUv09nm5+cPF0d1MERERERHRnYzJQj8TGRyPqNAR4jZXbSYiIiIiU7EydwBk\nuEcnPYu6xlo0NTdi6og5t/4AEREREVEPMFnoh1wc3PH7h9eYOwwiIiIiusOxGxIREREREXWKyQIR\nEREREXWKyQIREREREXWKyQIREREREXWqXyQLNTU1WLZsGYKDgyGXy3HPPfcgJSVFPK7RaLB06VIE\nBARALpdj0KBBeOedd/TKmDhxIqRSqfiSyWR4/PHH+/qrEBERERH1G/1iNqTFixcjNTUVW7duhZ+f\nH7Zu3YqkpCRkZGTAx8cHL774In766Sd8/vnnCA4OxpEjR7BkyRIoFArMnz8fACCRSLBo0SK89dZb\nEAQBAGBvb2/Or0VEREREZNEsvmWhvr4eO3fuxNq1azFu3DiEhoZi1apVGDhwIDZt2gQAOH78OBYs\nWIDx48cjMDAQTzzxBEaNGoWTJ0/qlSWXy6FQKKBUKqFUKuHk5GSOr0RERERE1C9YfLLQ3NwMrVYL\nW1tbvf329vZITk7+/+3de1CN+R8H8PdzTnQXiZMuStF2ca0GhbaM2GjJapHbYFxmrVjGEpYVlliX\nxboM1sqM27jN2F2jYrqS2VUkyTIl18klqjmmFOf7+8M6P49OuqhO8X7NnBnn+3yf5/k8n/mMOZ+e\nGwCgb9+++OOPP3Dv3j0AwPnz55GRkYGgoCDZOocOHUKbNm3QuXNnfP/991Cr1Q1zEERERERETVCj\nvwzJzMwMPj4+WLlyJTw8PGBtbY0DBw4gNTUVnTp1AgBs3rwZ06dPR/v27WFgYABJkrBlyxZZszB2\n7Fg4ODjAxsYGWVlZiIiIQGZmJk6fPq2vQyMiIiIiatQk8eYC/kbs1q1bmDx5MhITE2FgYABPT0+4\nuLggLS0NWVlZWL9+PXbv3o3169ejffv2SEpKwoIFC3Ds2DEMHDhQ5zYvXryInj17Ij09Hd27d5ct\nKyoqaojDIiIiIiKqFxYWFnWynSbRLLxRUlKC4uJiqFQqjB49Gs+fP8eRI0dgYWGBY8eOITg4WDt3\n6tSpuH37NmJjY3VuSwiB5s2b48CBA/j6669ly9gsEBEREVFTVlfNQqO/Z+FtxsbGUKlUePbsGWJi\nYhASEoLy8nKUl5dDoZAfilKphEajqXRbV65cwatXr9CuXbv6DpuIiIiIqElqEmcWYmNjodFo4Orq\nips3b2L+/PkwMTFBUlISlEolAgICUFBQgC1btsDBwQEJCQmYMWMG1q1bhxkzZiA3Nxf79+/H4MGD\nYWVlhaysLMybNw+mpqb4+++/IUmSvg+RiIiIiKjRaRLNwpEjR7Bw4ULcv38flpaWCA0NxcqVK7WP\nPn306BEWLlyI2NhYPH36FA4ODpg6dSrmzJkDALh37x7GjRuHrKwsqNVq2NvbIzg4GEuXLkXLli31\neWhERERERI1Wk2gWiIiIiIio4TWpexYawrZt2+Dk5ARjY2N4e3tr3+VA1RMZGQmFQiH72NjYyOYs\nW7YMtra2MDExQUBAAK5du6anaBuv5ORkDBs2DHZ2dlAoFNi3b1+FOVXlsaysDOHh4WjTpg3MzMww\nbNgw3L9/v6EOoVGqKq+TJk2qUL++vr6yOcxrRatXr0bPnj1hYWGBtm3bYujQocjKyqowjzVbM9XJ\nK2u25rZt24Zu3brBwsICFhYW8PX1xalTp2RzWKs1V1VeWat1Y/Xq1VAoFJg1a5ZsvD5rls3CWw4f\nPozvvvsOP/zwAy5fvgxfX18EBQVpX/ZG1ePq6oqHDx8iPz8f+fn5yMzM1C5bs2YNNm7ciK1bt+Li\nxYto27YtAgMD8fz5cz1G3Pio1Wp06dIFmzdvhomJSYXl1cnj7NmzceLECRw+fBgpKSkoLi5GcHAw\nPuWTiVXlFQACAwNl9fvujwjmtaKkpCTMnDkTqampiI+Ph4GBAQYMGIDCwkLtHNZszVUnrwBrtqbs\n7e2xdu1aXLp0CWlpaejfvz9CQkJw9epVAKzV2qoqrwBr9UNduHABu3btQrdu3WTj9V6zgrR69eol\npk+fLhvr1KmTWLRokZ4ianqWLVsmunTpUunydu3aidWrV2u/l5SUCHNzc7Fz586GCK9JMjMzE9HR\n0bKxqvJYVFQkmjdvLg4ePKidc/fuXaFQKERsbGzDBN7I6crrxIkTxZdfflnpOsxr9ajVaqFUKsWf\nf/6pHWPNfjhdeWXN1g1LS0ttLbJW687beWWtfpjCwkLh7OwsEhIShL+/vwgPD9cuq++a5ZmF/5SX\nlyMtLQ2BgYGy8YEDB+L8+fN6iqppys3Nha2tLZycnBAWFoZbt24BeP1yvfz8fFmOjYyM4OfnxxzX\nQHXyePHiRbx8+VI2x87ODm5ubsx1FVJSUqBSqfDZZ59h2rRpePz4sXZZWloa81oNxcXF0Gg0aNWq\nFQDWbF15N69vsGZrT6PR4NChQ3j+/Dn69OnDWq0j7+b1DdZq7U2bNg0jR47E559/LhtviJo1qKNj\naPKePHmCV69eQaVSycZVKhXOnj2rp6iant69e2Pv3r1wdXXFo0ePsGLFCvTp0wdZWVnIz8+HJEk6\nc/zgwQM9Rdz0VCePDx8+hFKpROvWrSvMyc/Pb7BYm5qgoCCMGDECHTp0QF5eHhYvXoz+/fsjPT0d\nzZo1Q35+PvNaDbNnz4anpyd8fHwAsGbryrt5BViztXX16lX4+PigtLQU5ubmOHHiBNzd3ZGamspa\n/QCV5RVgrX6IXbt2ITc3FwcPHqywrCH+f2WzQHVq0KBBsu+9e/dGhw4dEB0djV69eukpKqLqGTly\npPbfHh4e8PT0hIODA/766y+EhIToMbKmY+7cuTh//jzOnTvHd9jUocryypqtHVdXV2RkZKCoqAhH\njx7FhAkTkJiYqO+wmrzK8uru7s5araUbN25g8eLFOHfuXIUXEDcUXob0HysrKyiVSjx8+FA2/vDh\nQ1hbW+spqqbPxMQEHh4euHnzJqytrSGEYI4/UHXyaG1tjVevXqGgoKDSOVS1du3awc7ODjdv3gTA\nvFZlzpw5OHz4MOLj4+Hg4KAdZ81+mMryqgtrtnoMDAzg5OSEHj164KeffkL37t2xceNG1uoHqiyv\nurBWqyc1NRUFBQVwd3dHs2bN0KxZMyQmJmLr1q1o3rw5WrduXe81y2bhP82aNYOXlxfi4uJk43Fx\ncbLr7ahmSktLcf36ddjY2KBDhw6wtraW5bi0tBTJycnMcQ1UJ49eXl4wMDCQzbl37x6ys7OZ6xp4\n/Pgx7t+/j3bt2gFgXt9n9uzZ2h+0nTp1ki1jzdbe+/KqC2u2djQaDV68eMFarWNv8qoLa7V6hg8f\njszMTGRkZGg/3t7eCAsLQ0ZGBlxcXOq/ZuvmHu2Pw+HDh4WhoaHYvXu3yM7OFrNmzRLm5ubizp07\n+g6tyZg3b55ITEwUt27dEhcuXBBDhgwRFhYW2hyuWbNGtGzZUhw/flxkZmaKUaNGCVtbW6FWq/Uc\neeOiVqvF5cuXxaVLl4SJiYlYsWKFuHz5co3y+M033wh7e3tx5swZkZ6eLgICAoSnp6fQaDT6Oiy9\ne19e1Wq1mDdvnkhNTRV5eXkiPj5e+Pj4iPbt2zOvVZgxY4Zo0aKFiI+PF/n5+drP23ljzdZcVXll\nzdZORESESE5OFnl5eSIzM1NEREQIpVIpYmJihBCs1dp6X15Zq3Xr3ach1XfNsll4x/bt20WHDh2E\nkZGR8Pb2FikpKfoOqUkZPXq0sLW1FYaGhsLOzk6EhoaK7Oxs2ZzIyEhhY2MjjI2Nhb+/v8jKytJT\ntI1XQkKCkCRJKBQK2WfSpEnaOVXlsaysTMyaNUtYWVkJU1NTMWzYMHHv3r2GPpRG5X15LSkpEYMG\nDRIqlUoYGhoKR0dHMXny5Ao5Y14r0pVThUIhIiMjZfNYszVTVV5Zs7UzceJE4ejoKIyMjIRKpRKB\ngYEiLi5ONoe1WnPvyytrtW4FBATImgUh6rdmJSH4pgsiIiIiIqqI9ywQEREREZFObBaIiIiIiEgn\nNgtERERERKQTmwUiIiIiItKJzQIREREREenEZoGIiIiIiHRis0BERERERDqxWSAi+sT4+/sjICBA\nrzGsX78eHTt2hEaj0VsMPXv2REREhN72T0TUFLBZICL6SKWmpiIyMhLFxcWycUmSoFDo779/tVqN\nqKgozJ8/X69xLFy4EL/++isePXqktxiIiBo7NgtERB+p8+fPY/ny5SgsLJSNx8XFISYmRk9RAb/9\n9htKS0sxfvx4vcUAACEhIWjRogW2bt2q1ziIiBozNgtERB8pIYTOcQMDAxgYGDRwNP/3+++/Y/Dg\nwTA2NtZbDMDrMyyhoaGIjo7WaxxERI0ZmwUioo9QZGQk5s+fDwBwdHSEQqGAUqlEUlISAgIC0L9/\nf+3c27dvQ6FQYO3atdi+fTucnZ1hamqKwMBA3L17FwCwatUqtG/fHiYmJhg2bBiePn1aYZ+xsbHw\n9/eHubk5zM3NERQUhIyMDNmcvLw8XLlyBYGBgRXWP3v2LD7//HNYWlrC1NQUHTt2RHh4uGxOWVkZ\nIiMj4eLiAiMjI9jZ2WHu3LkoKSmpsL1Dhw7Bx8cHZmZmaNWqFfr164eTJ0/K5rw5xrS0tGpmlojo\n06K/Py0REVG9GTFiBG7cuIFDhw5h06ZNaN26NSRJgqura6XrHDx4EGVlZQgPD8ezZ8+wZs0ahIaG\n4osvvsCZM2ewYMEC5OTkYNOmTZg7dy727t2rXffAgQMYP348Bg4ciKioKLx48QI7d+6En58f/vnn\nH7i4uAB4fWmUJEnw9vaW7Ts7OxvBwcHo2rUrIiMjYWJigpycnAqXS4WEhCA5ORnTpk2Dm5sbsrOz\nsXXrVly7dg2nT5/Wzlu5ciWWLl0KHx8fLFu2DMbGxkhLS0NsbCyGDh2qnefl5QUhBM6dOwcvL68P\nSTkR0cdJEBHRR2ndunVCoVCI27dvy8b9/f1FQECA9nteXp6QJEm0adNGFBcXa8cXLVokJEkSXbp0\nES9fvtSOjxkzRhgaGorS0lIhhBDPnz8XlpaWYsqUKbL9FBYWirZt24qxY8dqx5YsWSIUCoUoKiqS\nzd20aZNQKBTi6dOnlR7P/v37hVKpFMnJybLxAwcOCIVCIeLi4oQQQuTk5AilUimGDx8uNBrNe3Mk\nhBCGhoZi+vTpVc4jIvoU8TIkIiICAISGhsLc3Fz7vVevXgCA8ePHQ6lUysbLy8u1lyjFxsaisLAQ\nYWFhKCgo0H7Ky8vRr18/xMfHa9ctKCiAQqFAixYtZPu2sLAAABw/frzSey2OHDkCFxcXuLm5yfbT\nr18/ANDu5802lixZAkmSqjzuVq1a4cmTJ1XOIyL6FPEyJCIiAgDY29vLvr/5AW9nZ6dz/NmzZwCA\nmzdvQgiBAQMGVNimJEmyRgPQfeP1qFGjsGfPHkybNg0RERHo378/QkJCMHLkSO36N27cwL///os2\nbdro3M+bR6Dm5uYCANzd3as+6P/iqU5TQUT0KWKzQEREAFDhR31V429+9Gs0GkiShOjoaNjY2Lx3\nH1ZWVhBCoKioSNt0AICRkRESExORlJSEU6dOISYmBmPHjsWGDRuQkpICQ0NDaDQauLu7Y/PmzTob\njqr2XZnCwkJYWVnVal0ioo8dmwUioo9UQ/213NnZGUIIWFlZyZ6ypIubmxsA4NatW+jevXuF5X5+\nfvDz80NUVBR27NiBb7/9FsePH0dYWBicnZ2Rnp5e5dunnZ2dAQBZWVnw9PR879wHDx6grKxMGxcR\nEcnxngUioo+UqakpgP9fLlRfBg0ahJYtW2LVqlUoLy+vsPzt+wH69OkDIQQuXrwom6PrUaw9evSA\nEEL7UrlRo0YhPz8f27dvrzC3rKwMarUaADB8+HBIkoTly5dDo9G8N/a0tDRIkgRfX9+qD5SI6BPE\nMwtERB8pb29vCCEQERGBMWPGoHnz5lX+5b+63r4MyNzcHDt27MC4cePQo0cPhIWFQaVS4c6dOzh9\n+jQ6d+6MPXv2AHh9X0T37t0RFxeHKVOmaLexYsUKJCQkYMiQIXB0dMSzZ8+wY8cOmJmZITg4GAAw\nbtw4HD16FDNnzkRiYiL69u0LIQSuX7+OI0eO4OjRo/Dz84OTkxOWLl2KyMhI9O3bF1999RVMTEyQ\nnp4OY2NjbNmyRbvf2NhY2NnZVXiUKxERvcZmgYjoI+Xl5YWoqChs27YNkydPhkaj0T4x6N1LlCRJ\n0nnZUmWXMr07PnLkSNja2mLVqlXYsGEDSktLYWNjgz59+mD69OmyuZMnT8bChQtRUlKifYtzSEgI\n7t69i3379uHx48do3bo1fH19sWTJEu2N15Ik4cSJE/jll18QHR2NkydPwtjYGE5OTpg5cya6du2q\n3cfSpUvh5OSEzZs348cff4SRkRE8PDy0L6oDXjc8x44dkzUtREQkJ4nKnlFHRERUD9RqNZydnbF8\n+fIKjURDOn78OCZMmICcnByoVCq9xUFE1JjxngUiImpQZmZmWLBgAX7++ecq7ymoT1FRUQgPD2ej\nQET0HjyzQEREREREOvHMAhERERER6cRmgYiIiIiIdGKzQEREREREOrFZICIiIiIindgsEBERERGR\nTmwWiIiIiIhIJzYLRERERESkE5sFIiIiIiLS6X9KeS5Fb8D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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2467,7 +2669,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 40, "metadata": { "collapsed": false, "scrolled": false @@ -2483,9 +2685,9 @@ }, { "data": { - "image/png": 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ef/993LlzB66urkhNTYWurm6Pn4eISNV0dnbgQNpe7NmXhNyjeThfcQld97oV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\n", 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joyPs7e2xYsUKGBkZYc6cOWLGJiIiItx/Yq604hC27vgRWQezcOzIKdy906qwZ4ilCSZ5\nuCJMGo742LmwHjZcpLRErxZRm/yGhga88cYbaGhogLGxMcaPH4+0tDSEhIQAABYvXgyZTIaFCxd2\nfRhWeno6Z+QTERGJpPrcSWzZvhH79+/HkdKqbhNwBg4yxHh3JwQHByM+9mdwcnARKSnRq03UJv/7\n779/5p4lS5ZgyZIlfZCGiIiIHlXfeBFJyZuxLz0NZcVHcOXSDYV1PUMdOLs6wD/QH7OiX4Onmw8n\n4BCpAJW7J5+IiIjEc+v2TWxP2YLUtD0oLizFxXMNeHjYtpaOJhycbeHr54Po6TMRGhgJLU22E0Sq\nhv9VEhERvcJkrTLs3peMlNQdKMg7hJpTF9DZ8cgEHAdrePt4YHrEDMyIiIOBPm+bJVJ1bPKJiIhe\nIR2dHTiYk/6fCTh5OPmYCThWI80w2dsNEWGRmBU9B6Ymg8ULTEQvhE0+ERGRGpPL5Sg5UvSfCTjZ\nOHbkFO41P2YCzuTxCJWGIT52LmysRooTloiUhk0+ERGRmjlZfQyJyZuwPzMTR0uPoenGkyfgzI6Z\nC2fHcSIlJaLewiafiIion7tQX4fE7ZuQvn8fDhcfxdXLNxXW9Q114TTBAQEBfpgV8xo8JnECDpG6\nY5NPRETUz1y/eQ1bd25G2r5UFBeVo77uCvDQBBxtXS04uvw0AScOIf7hnIBD9Irhf/FEREQqruVu\nM3akbsWevSkoyi9GXfUlyOUPunpNLQ3YOlpjio8XpkdGIyosFnp6+iImJiKxscknIiJSMe3tbUjL\n3I2de5KRn1uAM8fr0NHe2bUukQA2oyzgOWUyIsIiERf1OowHmoiYmIhUDZt8IiIikcnlcmTl70dy\nylbkZOXgxNEzaL3XrrDH3HowJnm4Ijw0HLNj58LSzEqktETUH7DJJyIi6mNyuRzllSXYumML9qXt\nw+lj53D3jkxhz6ChRnB1d4E0RIr4mLkYbecoUloi6o9EbfJXrlyJ5ORknDp1Crq6uvDy8sLKlSvh\n7OzctWfBggVISEhQeJyXlxcKCgr6Oi4REdELO1l9DEk7NiEz8wCOlFah6briWEvDgfoY7zYW/gH+\niI+Zg4njJ4uUlIjUgahNfk5ODhYuXAh3d3cIgoDPPvsMISEhOHHiBExMHtxbKJVKsWHDBgjC/TcZ\n6ejoiBWZiIjouVy4VIvE5E3I2J+O8seMtdQz0IGTqz1cxrvAb0oQFvz8/3GsJREpjahN/t69exW+\n/+GHH2BsbIz8/HxMmzat67iuri6GDh3a1/GIiIie29XrV7Bt12akpe9FSVE56uuuKo611NGCg4st\nfKZOQfT0WEj9I6CtrYPS0lIAYINPREqlUvfk3759G3K5HIMGDVI4npeXB3Nzc5iYmMDf3x9ffPEF\nm34iIhLVnZbbSN6diNS0PThUWILz1fWPGWtpA28fT0yPjMYMjrUkoj6kUk3++++/j0mTJsHb27vr\nWEREBOLi4mBra4va2lp8+umnCA4ORllZGbS1tUVMS0REr5K29jbszdyFXSnJyM8rxJkTdehsl3et\nSyTA8NGW8PR2x7SIKMRMnw1jI461JCJxSISfbnQX2YcffojExETk5+djxIgRT9x3+fJljBgxAomJ\niYiJiVFYa2pq6vq6urq617ISEZH6k8vlqDx5GNn5B1BeVo4zx+u6jbU0szKFi+tYeHl6I2BKCAaZ\nDBYpLRH1Z/b29l1fGxsbK+WcKvFM/gcffIDExERkZWU9tcEHAEtLS1hbW7OJJyIipas5X40DuRko\nKSnBqaqzaG66p7BuMsQITuPt4eHhhSDfUFiac1Y9Eakm0Zv8999/H0lJScjKylL4V8yTXL16FZcu\nXYKlpeVT97m7uysr4ivvpzeFsabKxbr2Dta1d6hrXc9frMWW5I1Iz9iHw8VHcb2xSWHdwEgP493G\nIjAwEPGxczBhnPJ/f3WtrdhY197BuvaOh+9GURZRm/xf//rX2LBhA3bu3AljY2M0NjYCAAYMGABD\nQ0O0tLRg2bJliIuLg6WlJWpqavDJJ5/AwsICsbGxYkYnIqJ+6OatG0jauQl70/aguKgc9XVXFCbg\n6OhpYcy40Zjq74u46Hj4Twnm1Bsi6pdEbfLXrl0LiUSC4OBgheNLly7FkiVLoKmpicrKSvzwww+4\ndesWLC0tERQUhKSkJBgaGoqUmoiI+ou791qwa+92pKTuxKGCYtScvgh5p+IEHLsxNpji640Z02Iw\nLTQGujq6IiYmIlIOUZt8uVz+1HU9PT2kpaX1URoiIurv2tvbsO/AHuzcvR35eYWoPl6LjrbOrnWJ\nBLCxs4CHtxsiI6YjLup1GA/kBBwiUj+i35NPRET0ouRyOXIKDyA5ZStysnJw4uiZx07AcfNwhVQa\nhviYubCytBEpLRFR32GTT0RE/UpZRTGSdvyI7INZqDx8Ai23ZQrrg4YawdXdBSHBIYiPnQt7uzEi\nJSUiEg+bfCIiUmmnzhxHYvImZGZmoqKsCreuNSusGw7U75qAMyv6NUwcP1mkpEREqoNNPhERqZSL\nl88jKXkT0jP2oay4Alfrbyqs6+rrwGmCPfz9/RA7YxZ8PQM4AYeI6BFs8omISFQ3m25g264fkZq2\nG8WFZbhUqzjWUktHEw7OtvCZOgUxUTMh9Y+AtraOeIGJiPoBNvlERNSnZLJ72JW2DSl7dqIw/1C3\nsZYamhLYOljDy8cTM6ZFY3pYLAz0OTaZiKgn2OQTEVGv6ujswP7sNOxI2Ya8nHycrqpBe1vHgw0S\nwNrWHB7ebogIm4a4Ga9jkImpeIGJiNQAm3wiIlIquVyO4vICbN2xBVlZ2Th+5DTutbQq7BlqOQiT\nPF0RGhKG+Ni5sB42XKS0RETqiU0+ERG9tJPVx/Dj9g3IzMzE0bLjuH2jRWF9oKkhXN1dEBwUhPjY\nuRjr4CJSUiKiVwObfCIi6rEL9XVISt6EfRn7cLj4KK5eVpyAo2+oC6cJDggMDMCsmNcweaI3J+AQ\nEfUhNvlERPRMt5ubkF2wH1/87xKUFJbhUp3iBBxtHS04uNjC188HM6NmIcg/DFqa/L8YIiKx8G9g\nIiLqpuVuC3albcPuPTtRVFiM2tOXFCbgaGppwNbBGt6+XpgeGY0ZYbHQ09MXMTERET1M1CZ/5cqV\nSE5OxqlTp6CrqwsvLy+sXLkSzs7OCvuWLVuGdevW4ebNm/D09MSaNWvg5OQkUmoiIvXT3t6G9IOp\n2LFnO/JzClB9vBYdbZ1d6xIJYDXSDJ4+kzEtYjpmRr0Gk4GDRExMRERPI2qTn5OTg4ULF8Ld3R2C\nIOCzzz5DSEgITpw4ARMTEwDAqlWrsHr1aiQkJMDBwQHLly+HVCrF6dOnYWjIuclERC9CLpcjrzgb\n23cmIic7BycqzkB2t01hj5mVKdw8JyA8NByOdi4YPGgo3N3dRUpMREQ90aMmv6OjA1paT3/IlStX\nYGZm9lzn27t3r8L3P/zwA4yNjZGfn49p06YBAL755ht8/PHHiImJAQAkJCTAzMwMmzZtwttvv92T\n+EREr7TK40eQmLwJmQcOoLL8BJpv3VVYNxlihAnuLggJDkb8zJ/D3s6xa620tLSv4xIR0UvoUZPv\n7u6ODRs2wMXl8aPPEhMTsXDhQly5cuWFwty+fRtyuRyDBt1/CbimpgYNDQ2QSqVde/T09ODn54eC\nggI2+URET3Ghvg5btm9AekY6yg9V4Hpjk8K64UA9jJs0FgEBAZgd8zomuXqIlJSIiJRNIgiC8Oxt\n99nZ2eHy5ctYunQpfvOb30AikQAAbt68iV/96lfYsmULAgMDkZmZ+UJh4uPjce7cOZSUlEAikaCw\nsBC+vr6oq6uDtbV117633noL9fX13V4JaGp68H9g1dXVL5SBiKi/am65g+zC/Sgoykfl4WO4fOGa\nwgQcHT0tjBo7ApPcJsLfJwiuTm4ca0lEpALs7e27vjY2NlbKOXv0TP7Ro0fxwQcf4JNPPkFKSgrW\nr1+PU6dO4e2338bt27fxzTff4N13332hIB9++CEKCgqQn5/f9Y8HIiJ6srb2NhSV5SK3IBsV5Udx\n/sxldHbKu9Y1NTUw3N4SrhPHw8/HH56TpkJHW0fExERE1Fd61OQPGDAA69atQ2xsLN5++22MGzcO\n7e3t8PLywvr16xX+FdITH3zwARITE5GVlYURI0Z0HbewsIAgCGhsbFR4Jr+xsREWFhZPPSffHKY8\nP92Ly5oqF+vaO9S5rnK5HDmFB7BtZyJysnJwsvIs2mQdDzZIACtbM3h4uyMyfBpmzZgDE2PlTMBR\n57qKjbXtHaxr72Bde8fDd6MoywtN19HX14eWlhba2u5PYhg1ahTMzc1fKMD777+PpKQkZGVldftH\ngq2tLSwsLJCRkQE3NzcAgEwmQ25uLr7++usX+nlERP3J0eNHkLh9EzIzM1FZfgItt+8prA+2MMYk\nD1eESkPxWuzPYGM1UpygRESkUnrU5N+7dw+LFy/G2rVrMXHiROzZswdpaWn47LPPkJ2djX/84x8K\nb5J9ll//+tfYsGEDdu7cCWNjYzQ2NgK4/4rBT+MxFy1ahJUrV8LR0RH29vZYsWIFjIyMMGfOnJ5E\nJyLqF87WVCNxx0bs378fh0sqcfPqbYX1Acb6GOfmhKCgQLwWOxfjnCaKlJSIiFRZj5p8V1dX1NbW\n4tNPP8Vnn30GLS0tuLi4IDIyEvPmzUN4eDjeeecdrF279rnOt3btWkgkEgQHByscX7p0KZYsWQIA\nWLx4MWQyGRYuXNj1YVjp6emckU9EaqG+4SKSdmxGekYayoor0HjxusK6rr42HMeNgl/AVMTNiIef\ndxDfLEtERM/UoyZfS0sLBQUF3e7DcnJywqFDh7BixQqsXLnyuZt8uVz+7E0AlixZ0tX0ExH1Zzdv\n3cC2XT9i775UFBeV4lJNIx6ecaalrYnRTiMwxdcbM6bHICJ4Bt8sS0REPdajJv/w4cPQ1dV97Jqm\npiaWLl2KGTNmKCUYEZE6aLnbjF17t2F36i4UFRSjtvoS5J0PunoNTQlsHazgPcUTkRFRmBE+EwMM\njURMTERE6qBHTf6TGvyHTZzI+0OJ6NXV1taKvZkp2LVnBwryCnHmeB062ju71iUSwMbOHJO93RAe\nGom4qNdgOmiIiImJiEgdvdB0HSIiuk8ulyMrfz+270pCXk4eTlaeReu9doU95taDMcnDFWHSMMyO\nmYthFtZPOBsREZFysMknIuqh0opD2Jq8GVlZ2agsP4m7d2QK66ZmAzHB3QUhIVLMjp6L0XYOIiUl\nIqJXFZt8IqJnOHX2OJKSN2P//v2oKKvCrWvNCusDjPUx3s0JgYGBmB3zOlxd3ERKSkREdB+bfCKi\nR1y6fAFJOzdhX3oayouP4sqlGwrregY6cHK1h5+/H+Ki4zHFw49jLYmISKWwySeiV96NW9exPWUL\nUtP2oKSorPtYSx1NODjbwmfqFMREzYTUPwLaHGtJREQqjE0+Eb1y7t5rQUradqSk7kRRfjFqTl/s\nNtbSzsEaXj6eiIqcgajwmTDQ5wfwERFR/8Emn4jUXnt7G9Kz9mLn7u3Izy1A9bFatLd1PNggAazt\nzOHh5YaI8GmIi3odg0xMxQtMRET0ktjkE5HakcvlyC06iO07k5CTnYPjFdWQ3W1T2GNmZYqJk8cj\nLDQM8TE/g5WljUhpiYiIlI9NPhGphaPHypGYvBlpaWk4VXUWzU33FNaNBw/AhMkukAaHYHbsXDiM\nGitSUiIiot4nepOfm5uLr776CmVlZaivr8f69esxb968rvUFCxYgISFB4TFeXl4oKCjo66hEpEJq\n6s5gS/JG7N+fgcMllbhx5bbCuoGRHsZNGoOAgADMjp2DSeMnQyKRiJSWiIiob4ne5Dc3N2PcuHGY\nP3++QnP/MKlUig0bNkD4z7gLHR1OtSB61TRevYyknZuRtm8vyg4dQcOFawrrOnraGDt+FFzGu8Df\nJwhvzfslx1oSEdErS/QmPyIiAhEREQCA+fPnP3aPrq4uhg4d2pexiEhkd5pvI3lPIvbsTcGhghKc\nP9sAQf5gAo6mtgZGjx2BKb5TED09BhHBUdDR0UVpaSkAsMEnIqJXmuhN/vPIy8uDubk5TExM4O/v\njy+++IKnekNWAAAgAElEQVRNP5GaaW9vQ+r+Xdi5Oxn5uYU4e7IOne3yrnWJhgQjHazgNWUyIiOi\nEBM5G0YDjERMTEREpLpUvsmPiIhAXFwcbG1tUVtbi08//RTBwcEoKyuDtra22PGI6AU9mICTiOzs\nXJw8egat99oV9lgMH4LJnhMRHhaJ2dFzMHSIuUhpiYiI+heJIDz8uY7iMjIywpo1a554bz4AXL58\nGSNGjEBiYiJiYmIU1pqamrq+rq6u7rWcRPRiztSdRlZuBkpKS3Gq6ixaHpmAM2ioEcaOs4eHhxeC\nfKWwNLcWKSkREVHfsbe37/ra2NhYKedU+WfyH2VpaQlra2s28UT9wOUr9TiYtw/FxYdw/Ohp3Lx6\nR2Hd0EgPjuNGwd3dHYFTpRg90lGkpEREROql3zX5V69exaVLl2BpafnUfe7u7n2USP399EZG1lS5\n1LGu165f+c8EnFSUFJXj8vnHT8Dx85+KmdHx8PMOUvobZNWxrqqAde09rG3vYF2fTS6Xo62t7dkb\nH3Lnzv0na4yM+J6o5yWRSKCjo/PUMc4P342iLKI3+S0tLThz5gwEQYBcLsf58+dRUVEBU1NTmJqa\nYtmyZYiLi4OlpSVqamrwySefwMLCArGxsWJHJ3rlNbc0Y0dqEnan7ro/AedMPeSPTMAZNWY4fHy9\nMSNqJiKCo6CroytiYiIiAu43+K2trdDT0+vRZ4jo6en1Yir11NnZCZlMBl1d3T6d/CZ6k19aWorA\nwMCuC2zp0qVYunQp5s+fj2+//RaVlZX44YcfcOvWLVhaWiIoKAhJSUkwNDQUOTnRq6e9vQ17M1P+\nMwGnAGdOdJ+AM8LeEp5TJiMybDpio+IxcIBy7i0kIiLlaWtr63GDTy9GU1MTenp6Xf+o6iuiN/n+\n/v6Qy+VPXE9LS+vDNET0MLlcjpzCA0jelYSc7FyceNwEHJvBcPOciPCwCMyOngPzoU+/lY6IiFQD\nG/y+I0atRW/yiUi1HK4swdYdW3DgwAFUlp9Ey+1HJuCYDcSkyeMQHByC+JifYZSt/RPORERERGJh\nk0/0ijtXW40ft29EZmYGDpdUdp+AM1Af493GIjAoELNjXscEF76JjYiISNWxySd6xTRcqUfijk1I\nT09D6aEjaLx4XWFdV18bY11Hw8/fD3HR8fD1DOjTNwoRERHRy2OTT6Tmmu7cQnJKIvak7cahghJc\nPNeAhz8CT0tbE6OdRsDH1xvR02ciPHg6tLV1xAtMREREL41NPpGakcnuYXf6DqSk7kBh/iGcO3kB\nnR0P3tyuoSHBSEcreE2ZjOkRMzAjYhYGGA4QMTEREZHyJCQkYMGCBSgqKoKHh0fX8ZaWFoSHh6O4\nuBibN29GZWUlli9f3u3xEokEf/rTn/Dhhx/2ZWylY5NP1M91dHbgQM4+7Ni9Hbk5eThddQ5tso4H\nGyTAsJFmmOw1CRFhEZg1Yw4Gmw4VLzAREVEve3Sazd27dxEREYHi4mL8+OOPiI2NRWVlJSQSCdas\nWYOBAwcq7Hdzc+vLuL2CTT5RPyOXy1Fcno9tO5OQlZWFY0dO415zq8KeIZYmmOThCmmIFPExP8Nw\n65HihCUiIhLZTw3+oUOHuhr8h82cORNmZmYipes9bPKJ+oET1VVI3L4JmZmZqCg7hts3WhTWBw4y\nhKu7M4KCgzA7Zi6cHceJlJSIiEh13Lt3D5GRkSgqKnpsg6/O2OQTqaBLly8gMXkj9qWnoay4Atcu\n31JY1zfUhfNERwQE+mNW9GuYPNGbE3CIiIge0tLSgsjISBQWFj61wb9+/To0NTW7vtfQ0MCgQYP6\nKmavYZNPpAJuNd3E1l2bkZq2B8WFZbhU2wg8NAFHW0cLjuPsMNXPF7FRcQj0C4WWJv/zJSKi3vfe\nNzG9ev6/vL9D6ecUBAFvvvkm6uvrn9rgC4IAZ2dnhWNDhgzBlStXlJ6pr7FLIBKBTHYPWQXpyCvM\nwbGjJ1Bz+qLiBBxNCewcbeDl44moaTGYERYLPT19ERMTERH1L1euXIGenh6GDx/+xD0SiQRJSUkw\nMTHpOqajox5jpNnkE/WBjs4OHMjeh+Td25CXk4dTVTVob1WcgGNlaw4PbzdEhk/DrBlzYGLc/18q\nJCKi/q83nmnvbRKJBN999x0++ugjhIeHIycnB2PHjn3sXl9fX7V8463oN/Hm5uYiOjoa1tbW0NDQ\nwL///e9ue5YtWwYrKysYGBggMDAQx48fFyEp0fOTy+U4VJaP/1nyHiZPdcVAkwEIC56O71Z/j6qy\narS3dmCwhTGmhnrg6//7A85frMXFcw3YvnEP/t8bv2KDT0RE9JIcHR2Rnp6Ojo4OhIaGora2VuxI\nfUr0Z/Kbm5sxbtw4zJ8/H/Pmzeu2vmrVKqxevRoJCQlwcHDA8uXLIZVKcfr0aRgaGoqQmOjxTpyu\nQmLyJmQeOICK0qpuE3CMBhnC1d0JwcHBmB0zF/fu3B976e7uLkZcIiIitefq6ordu3cjNDQUUqkU\nubm5sLCwEDtWnxC9yY+IiEBERAQAYP78+d3Wv/nmG3z88ceIibn/po+EhASYmZlh06ZNePvtt/s0\nK9HDLtafx5btG5G+fx/KnzABx2mCA/z9pyIu5nV4ufkoTMApLS3t68hERESvHB8fH2zbtg3R0dEI\nDQ1Fdna2WkzPeRbRm/ynqampQUNDA6RSadcxPT09+Pn5oaCggE0+9anrN69h264fsTdtD4qLylFf\nd0VxAo6uFhxdbOEz1QcxUXEI8Q/nBBwiIiIRCIKg8H14eDg2bNiAOXPmICIiAvv37xcpWd9R6Q6k\noaEBEokE5ubmCsfNzc1RX1//1MfyWVLle9VqKmuVIb/kIPILcnH0SBUunG2AXP7gLw1NTQ0Mt7fE\n+Anj4DtlKrzd/KGro9u1fuTwkef6Oa9aXfsK69o7WNfew9r2Dtb18UaMGAE9PT2xY/QaiUTS7djs\n2bNx+/ZtvPPOO4iOjoaHh0efZrpz5w6qqqoeu2Zvb6/0n6fSTT5RX+ro6EBJRQHyCrJxuLwCNacv\noqOts2tdIgGGjRyKcROcMcXLB35ewRhgaCRiYiIiInrU/PnzH3sLOAC89dZbeOutt7q+X7lyZV/F\n6nMq3eRbWFhAEAQ0NjbC2tq663hjY+Mz3zTBNzMqz0/PgqhbTeVyOXKLDmL7riTkZufi+NEzaL3b\nprDHzMoUbp4TECYNw+yYuRhmYf2Es/WcutZVbKxr72Bdew9r2ztY16eTyWRiR3jlGBkZPfF6bGpq\nUvrPU+km39bWFhYWFsjIyICbmxuA+xdlbm4uvv76a5HTUX9UfrQYSck/IisrC5XlJ9ByW/EvOZMh\nA+Dq7oKQECniY+fAwe7xM3WJiIiIVJnoTX5LSwvOnDkDQRAgl8tx/vx5VFRUwNTUFDY2Nli0aBFW\nrlwJR0dH2NvbY8WKFTAyMsKcOXPEjk79wOmzJ5CYvAn7M/ejovQYbl27o7BuOFAf4yaNQUBgAGZF\nv45J4yc/9j4+IiIiov5E9Ca/tLQUgYGBXY3V0qVLsXTpUsyfPx//+te/sHjxYshkMixcuBA3b96E\np6cn0tPTOSOfHutCfR227tiMfRn3x1perb+psK6rrw2nCfaY6jcVcdGz4esZqDDWkoiIiEgdiN7k\n+/v7Qy6XP3XPkiVLsGTJkj5KRP3J9RtXsTVlC9LS9qCkqByXHhlrqaWjCQdnW/hM9Ub09DiEBkRA\nW1tHvMBEREREfUD0Jp+oJ5pbmrEzNQl70najKL8YddWXuo21HOloDW8fT0RFzsD0sFgY6PNVHyIi\nInq1sMknldba1oq9mSlI2ZOM/NxCnDlRh872B6/8SCSAzSgLeHi7IzJ8GmZOfw0mxur/KXZERERE\nT8Mmn1RKR2cHsvL2Y8fubcjNzsPJyrNok7Ur7LGwGQw3jwkIDQ3HrOjXMcxceWMtiYiIiNQBm3wS\nlVwuR8nhQmzblYisrCwcO3wKd++0KuwxNRuIiZPHIyQkBLOj52CUrYNIaYmIiIj6Bzb51OeOnTqK\npOTNOHDgAI6WHUPTjRaFdSMTA4x3c0JgYCBmRb8OV5dJIiUlIiIi6p/Y5FOvq71Qg8TkDdi/PwPl\nJUdxvUHxU930DXXhNMEB/gF+iJsRDy93X461JCIiInoJbPJJ6a7fuIqknZuwd18qSooO4/L5qwpj\nLbV1teDoYoepfr6ImR6HIP9QaGnyUiQiIiJSFnZW9NJa7rZgZ2oSdu/dhaKCEtSdfmSspZYG7MbY\nYIqPF2ZMj0WkNBp6unoiJiYiIiJ1lZCQgAULFnR9r6mpCXNzc0ilUnzxxRcYNmwY/vnPf+Ltt99+\n5rm0tLTQ1tYGAKiqqsLvf/97lJSUoKGhAaampnBwcEBQUBA+++yzXvt9XhSbfOqx9vY2pB9MxY7d\n25GfW4Dq47XoaOvsWr8/1tISnt5umBYRhZlRr2GgkbGIiYmIiOhVIpFIsHz5ctjZ2UEmk6GoqAjf\nf/898vPzUVVVhcDAQGzYsKFrv1wux7x58xAaGop58+Z1Hf/p9uG8vDyEhITAxsYGb731FoYNG4ZL\nly6htLQUX375JZt86p/kcjmOnarAxm3/Qk52Do5XVEN2t01hj5mVKdw8JyA8NByzY+bC0txKpLRE\nREREQGhoKDw8PAAAb775JgYPHowvv/wSu3btwqxZs2BnZ9e1t7OzE/PmzYODgwPmzp3b7Vyff/45\nTExMUFZWhoEDByqsXb16tXd/kRfEJp8eq/JEBZKSN+HAgQOoKD2G5qZ7CuvGgwdgwmQXSINDED/z\n57C3cxQpKREREdGzTZ06FatWrcLZs2d7/Nhz587B2dm5W4MPAEOHDlVGPKVT+SZ/+fLlWL58ucIx\nCwsL1NfXi5RIPdVdqEHijk3IyNiH8uKjuN6oOAHHYIAuXCaNRWCgP2bFzoHbeA9IJBKR0hIRERH1\nTE1NDQBg0KBBPX7syJEjUVJSgqqqKri4uCg7Wq9Q+SYfAMaMGYPs7GwIwv03c2pqaoqcqP+7fuMq\ntu7ajL1pqSgpKkf9IxNwdPS04DhuFKb6+cLVeRJcndzg6ekpXmAiIiKiHmhqasL169e77sn//e9/\nD319fUyfPr3H5/rNb36DiIgITJw4Ee7u7pg6dSoCAwMRHBwMHR2dXkj/8vpFk6+lpaWyL4X0F3fv\ntWBn6lakpO5CUX4x6qqfMAHH1xtRkTMwPWwmdHV0AQClpaVixSYiIiKR9fYr9z89iavsc4aFhSkc\ns7Ozw6ZNmzBs2LAeny8kJATZ2dlYtWoVMjMzUVxcjK+++gomJib45ptv8MYbbygrutL0iyb/3Llz\nsLKygq6uLjw9PfGHP/wBtra2YsdSae3tbUjP2oudKduQl1eA6mOPm4BjAQ9vd0yLmI6ZUa/B2MhE\nxMREREREyiGRSPDXv/4VY8aMQVNTE9avX4+cnBzo6b34CO8pU6Zg586d6OzsxLFjx5CSkoKvvvoK\nCxYswMiRIzF16lQl/gYvTyL0xj+flGjfvn24c+cOxowZgytXruDzzz/HyZMncfz48W73VDU1PbiP\nvLq6uq+jiur+BJyjyC7IRFlpOc4cr+02AWeIpQmcXcfAy9MbgT5SDB7EV0eIiIheRSNGjFDbuyQS\nEhLw5ptvorCwsGu6jlwuh7+/P+rq6nDq1Cno6+srPKazsxPa2tpYuHAh/vKXvzz3z8rIyEBYWBje\neecdfPfdd0/de/XqVdTV1T12zd7evutrY2PljB1X+WfyH32pxcvLC7a2tkhISMCiRYtESqUaas5X\n42BeBkpKSnGy6iyab91VWB9oaoix4+3hMdkDQVPDYG05XKSkREREROLR0NDAH//4R0ydOhV//etf\nsXjxYqWc96d/RKjiQBiVb/IfZWBgAGdn52c+U+/u7t5HifpO7flz2JK8ERn703GkpLL7BBwjPbhM\ndERgYABmRr8Gd1fPrg9xeBk/3ZOvjjUVE+vaO1jX3sG69h7Wtnewrk8nk8nEjtDnfHx84O3tjT//\n+c9YtGhRj94we+DAAQQGBnZ7f8KePXsAAGPHjn3mOYyMjJ54PT58N4qy9LsmXyaT4eTJkwgKChI7\nSq+7cq0BSTs3YV96GkqLDuPy+WsK6w9PwImZHofAqVJoafa7/0mJiIiIlOpJd6N/9NFHiIuLw7/+\n9S/813/913Of79e//jVaW1sRGxuLsWPHoqOjA2VlZdiwYQPMzc3x7rvvKiu60qh8R/g///M/iIqK\nwvDhw9HY2IjPP/8cd+/exfz588WOpnS3m5uQvDsJqWkpOFRQivNnL0N4ZALOqLHDMcXXGzOmxSBS\nGt01AYeIiIiI7nvSRKCYmBiMHj0af/rTn/DOO+8o3PEgkUie+LjVq1dj27ZtSEtLwz//+U+0trZi\n2LBh+MUvfoFPPvkE1tbWvfJ7vAyVb/IvXryIuXPn4tq1axg6dCi8vLxQVFQEGxsbsaO9tNZWGVL3\n78KuPckoyD+Esyfq0Nku71qXaEgwwn4YvKZMRmTEdMROi4fRgO6ftEZERERE982fP/+JTwZLJBKc\nPn2623FNTU10dnY+5hH3hYeHIzw8XGkZ+4LKN/mbN28WO4LSdMo7cTA3HckpW5GXk4+TlefQJmtX\n2GM5fAjcvSYhTBqO2TFzYTbEXKS0RERERNRfqXyT358JgoCSI4XYtjMRWQezUHX4FO7eUXyji6m5\nMSZ5jIc0WIr42J9h5HA7kdISERERkbpgk69kp8+ewJbtG5F5IBMVpVW4da1ZYX2AsQFc3Z0QHByM\nWTFzMG6sq0hJiYiIiEhdscl/SfUNF5G44/4EnPLiCly5dENhXc9AB04THOAf4IdZ0a/By91XKWMt\niYiIiIiehE1+D91quoltKT9ib9oeFBeW4mJNIx6e0qSlowkHZ1v4+vkgZvpMhAREQFtLW7zARERE\nRPTKYZP/DDLZPaTsS0ZK6g4U5h9CzamL6Ox4MAFHQ1MCOwdreE3xQNS0aMwIj4O+voGIiYmIiIjo\nVccm/xEdnR3IyNqLnbu3Iz83H6eqatDe2vFggwSwGmmGyd5uiAiLxOzouRhkYipeYCIiIiKiR7zy\nTb5cLkdBcQ6270pETnYujlWchqylTWHPEEsTTPJw/c9YyzmwsRohUloiIiIi5RAE4Ykf/kTK9aRP\n4O1Nr2STX1FVhsTkzTh48CAqy0+guemewrqx6QC4TnZGcFAwZsfMwVgHF5GSEhERESmfjo4OZDIZ\n9PT02Oj3ss7OTrS1tUFXV7dPf+4r0eRXnzuJxORNyMzMxJHSSty8ekdh3cBID+MmjUFAQADiYl6D\n23gPTsAhIiIitaWhoQFdXV20trb26HF37tzvoYyMjHojllqSSCSi/GNKbZv8P3+3Cunp6SgrPtJt\nrKWuvjbGjh+NqX6+mBkdDz/vIDb1RERE9ErR0NCAnp5ejx5TVVUFAHB3d++NSKREatvkf/Dfv+36\nWktHE/bOI+HjOwXR02IRFjQN2to6IqYjIiIiIuo9/abJ//bbb/HVV1/h8uXLcHZ2xp///Gf4+vo+\ncf+osTbw8vHA9IgZmBERBwN9wz5MS0REREQknn7R5G/ZsgWLFi3Cd999Bx8fH6xZswYRERE4ceIE\nrK2tH/uYM8fP93FKIiIiIiLV0C9uRF+9ejXefPNNvPnmm3B0dMRf/vIXWFpaYu3atWJHIyIiIiJS\nOSrf5Le3t6OsrAxSqVTheGhoKAoKCkRKRURERESkulS+yb927Ro6Ozthbm6ucNzc3BwNDQ0ipSIi\nIiIiUl394p78F9HU1CR2BLVhb28PgDVVNta1d7CuvYN17T2sbe9gXXsH69p/qPwz+UOGDIGmpiYa\nGxsVjjc2NsLCwkKkVEREREREqkvlm3xtbW24ubkhIyND4XhGRgZ8fHxESkVEREREpLr6xe06H374\nIebNm4fJkyfDx8cHa9euxeXLl/HLX/5SYZ+xsbFICYmIiIiIVEe/aPLj4+Nx48YNfPHFF7h8+TJc\nXFywd+9e2NjYiB2NiIiIiEjlSARBEMQOQUREREREyqPy9+Q/r2+//RZ2dnbQ19eHu7s78vLyxI7U\nryxfvhwaGhoKf4YNG6awZ9myZbCysoKBgQECAwNx/PhxkdKqrtzcXERHR8Pa2hoaGhr497//3W3P\ns+rY1taGd999F0OHDsWAAQMQHR2NS5cu9dWvoLKeVdsFCxZ0u4anTJmisIe1VbRy5Up4eHjA2NgY\nZmZmmDFjBo4dO9ZtH6/ZnnmeuvJ67blvv/0Wrq6uMDY2hrGxMaZMmYLU1FSFPbxWX8yzasvr9eWt\nXLkSGhoaeO+99xSO9+Y1qxZN/pYtW7Bo0SL87ne/w5EjRzBlyhRERETg4sWLYkfrV8aMGYPGxkY0\nNDSgoaEBlZWVXWurVq3C6tWrsWbNGpSWlsLMzAxSqRQtLS0iJlY9zc3NGDduHP7yl7/AwMCg2/rz\n1PH9999HcnIytmzZgry8PNy+fRvTp0/Hq/6i27NqCwBSqVThGn60AWBtFeXk5GDhwoUoLCzEwYMH\noaWlhZCQENy6datrD6/ZnnueugK8XnvKxsYGX375JQ4fPoyysjIEBQUhJiYGVVVVAHitvoxn1Rbg\n9foyioqKsG7dOri6uioc7/VrVlADnp6ewi9/+UuFY/b29sInn3wiUqL+Z9myZcK4ceOeuG5paSms\nXLmy6/t79+4JRkZGwt///ve+iNcvDRgwQEhISFA49qw6NjU1CTo6OsLmzZu79ly4cEHQ0NAQ0tPT\n+yZ4P/C42v7iF78QoqKinvgY1vbZmpubBU1NTWH37t1dx3jNvrzH1ZXXq3KYmpp2XYu8VpXr4dry\nen1xt27dEkaNGiVkZWUJAQEBwrvvvtu11tvXbL9/Jr+9vR1lZWWQSqUKx0NDQ1FQUCBSqv7p3Llz\nsLKygp2dHebMmYOamhoAQE1NDRoaGhRqrKenBz8/P9a4B56njqWlpejo6FDYY21tjbFjx7LWzyEv\nLw/m5uZwdHTEO++8g6tXr3atlZWVsbbPcPv2bcjlcgwaNAgAr1llebSuP+H1+uLkcjl+/PFHtLS0\nwMfHh9eqEj1a25/wen0x77zzDuLj4+Hv769wvC+u2X4xXedprl27hs7OTpibmyscNzc3R2Zmpkip\n+h8vLy+sX78eY8aMwZUrV/D555/Dx8cHx44dQ0NDAyQSyWNrXF9fL1Li/ud56tjY2AhNTU0MHjy4\n256GhoY+y9ofRUREIC4uDra2tqitrcWnn36KoKAglJeXQ1tbGw0NDaztM7z//vuYNGkSvL29AfCa\nVZZH6wrwen1RVVVV8Pb2hkwmg5GREZKTk+Hk5ITCwkJeqy/pSbUFeL2+qHXr1uHcuXPYvHlzt7W+\n+Pu13zf5pBxhYWEK33t5ecHW1hYJCQnw9PQUKRXR84uPj+/62tnZGZMmTcKIESOwZ88exMTEiJis\nf/jwww9RUFCA/Px8SCQSseOojSfVldfrixkzZgwqKirQ1NSErVu3Yt68ecjOzhY7llp4Um2dnJx4\nvb6A06dP49NPP0V+fj40NMS5cabf364zZMgQaGpqorGxUeF4Y2MjLCwsRErV/xkYGMDZ2RnV1dWw\nsLCAIAis8Ut6njpaWFigs7MT169ff+Ieej6WlpawtrZGdXU1ANb2aT744ANs2bIFBw8exIgRI7qO\n85p9OU+q6+Pwen0+WlpasLOzw8SJE/HFF19gwoQJWL16Na9VJXhSbR+H1+uzFRYW4vr163BycoK2\ntja0tbWRnZ2NNWvWQEdHB4MHD+71a7bfN/na2tpwc3NDRkaGwvGMjAyFe8moZ2QyGU6ePIlhw4bB\n1tYWFhYWCjWWyWTIzc1ljXvgeero5uYGLS0thT0XL17EiRMnWOseunr1Ki5dugRLS0sArO2TvP/+\n+12NqL29vcIar9kX97S6Pg6v1xcjl8vR2trKa7UX/FTbx+H1+myxsbGorKxERUVF1x93d3fMmTMH\nFRUVcHBw6P1rVjnvHRbXli1bBF1dXeEf//iHcOLECeG9994TjIyMhPPnz4sdrd/46KOPhOzsbKGm\npkYoKioSpk2bJhgbG3fVcNWqVYKJiYmwfft2obKyUnjttdcEKysrobm5WeTkqqW5uVk4cuSIcPjw\nYcHAwED4/PPPhSNHjvSojv/93/8t2NjYCPv37xfKy8uFwMBAYdKkSYJcLhfr11IJT6ttc3Oz8NFH\nHwmFhYVCbW2tcPDgQcHb21sYPnw4a/sUv/rVr4SBAwcKBw8eFBoaGrr+PFwzXrM996y68np9Mb/9\n7W+F3Nxcoba2VqisrBR++9vfCpqamsK+ffsEQeC1+jKeVlter8rz6HSd3r5m1aLJFwRBWLt2rWBr\nayvo6ekJ7u7uQl5entiR+pXXX39dsLKyEnR1dQVra2th1qxZwokTJxT2LF++XBg2bJigr68vBAQE\nCMeOHRMprerKysoSJBKJoKGhofBnwYIFXXueVce2tjbhvffeE4YMGSIYGhoK0dHRwsWLF/v6V1E5\nT6vtvXv3hLCwMMHc3FzQ1dUVRo4cKbz55pvd6sbaKnpcPTU0NITly5cr7OM12zPPqiuv1xfzi1/8\nQhg5cqSgp6cnmJubC1KpVMjIyFDYw2v1xTyttrxelScwMFChyReE3r1mJYLATykgIiIiIlIn/f6e\nfCIiIiIiUsQmn4iIiIhIzbDJJyIiIiJSM2zyiYiIiIjUDJt8IiIiIiI1wyafiIiIiEjNsMknIiIi\nIlIzbPKJiPqJgIAABAYGiprh66+/xujRoyGXy0XL4OHhgd/+9rei/Xwiov6ATT4RkYopLCzE8uXL\ncfv2bYXjEokEGhri/bXd3NyMP/7xj1i8eLGoOT7++GP83//9H65cuSJaBiIiVccmn4hIxRQUFOD3\nv/89bt26pXA8IyMD+/btEykV8M9//hMymQxvvPGGaBkAICYmBgMHDsSaNWtEzUFEpMrY5BMRqRhB\nEH2QdnQAAAcMSURBVB57XEtLC1paWn2c5oHvv/8ekZGR0NfXFy0DcP8VjVmzZiEhIUHUHEREqoxN\nPhGRClm+fDkWL14MABg5ciQ0NDSgqamJnJwcBAYGIigoqGtvXV0dNDQ08OWXX2Lt2rUYNWoUDA0N\nIZVKceHCBQDAH/7wBwwfPhwGBgaIjo7GjRs3uv3M9PR0BAQEwMjICEZGRoiIiEBFRYXCntraWhw9\nehRSqbTb4zMzM+Hv7w9TU1MYGhpi9OjRePfddxX2tLW1Yfny5XBwcICenh6sra3x4Ycf4t69e93O\n9+OPP8Lb2xsDBvz/9u4vpMkujgP492zQnGllzgQziA2kWYk2IVI3KqKCJGaJMv90IaIX6U03WrCV\nFrIopBnV6EIyyAJtgRdhMyizrmrelWWsvxBB2WYY2RY770Wvz9vyz+J9qdfm9wO7eM7O8/ye81z9\nzuH3nCcJKSkpMJvN6Ovri+ozNUafz/eTT5aIaGH5/5aEiIhomr1792J0dBRXrlyBy+VCamoqhBBY\ns2bNrOdcvnwZoVAIjY2NCAQCOH78OEpLS7Fz507cvHkTTU1N8Pv9cLlcOHDgAC5cuKCc293djerq\namzfvh1OpxNfvnzB+fPnYbFYcP/+fWRlZQH4VkIkhEB+fn5U7JGRERQXFyMnJwctLS1ITEyE3++f\nVlZktVoxNDSEuro6GI1GjIyM4MyZM3j06BH6+/uVfseOHYPD4cCmTZtw5MgRaLVa+Hw+eL1e7N69\nW+lnMpkgpcS9e/dgMpn+yyMnIopPkoiI5pWTJ09KlUolX758GdW+efNmuWXLFuX4xYsXUggh09LS\n5MePH5X2Q4cOSSGEXL9+vfz69avSXlFRITUajZycnJRSSvnp0ye5fPlyWVtbGxUnGAzKFStWyMrK\nSqXNbrdLlUolx8fHo/q6XC6pUqnkhw8fZh3PpUuXpFqtlkNDQ1Ht3d3dUqVSyYGBASmllH6/X6rV\nallSUiIjkcicz0hKKTUajayvr4/Zj4hoIWK5DhHRH660tBTJycnK8caNGwEA1dXVUKvVUe3hcFgp\n5fF6vQgGg7DZbBgbG1N+4XAYZrMZt27dUs4dGxuDSqXCkiVLomIvXboUAODxeGZ9l6CnpwdZWVkw\nGo1RccxmMwAocaauYbfbIYSIOe6UlBS8f/8+Zj8iooWI5TpERH+4VatWRR1PJd6ZmZkztgcCAQDA\n06dPIaXEtm3bpl1TCBE1QQBmfiG4vLwcnZ2dqKurQ3NzM7Zu3Qqr1YqysjLl/NHRUTx58gRpaWkz\nxpnaCvPZs2cAgOzs7NiD/vt+fmYyQES0EDHJJyL6w/2YjMdqn0rWI5EIhBDo6upCRkbGnDF0Oh2k\nlBgfH1cmCwCQkJCAwcFB3LlzB9evX8eNGzdQWVmJ9vZ23L17FxqNBpFIBNnZ2ejo6JhxohAr9myC\nwSB0Ot2/OpeIKN4xyScimmd+1+q0wWCAlBI6nS5q156ZGI1GAMDz58+Rm5s77X+LxQKLxQKn0wm3\n2439+/fD4/HAZrPBYDBgeHg45td6DQYDAODhw4fYsGHDnH3fvHmDUCik3BcREUVjTT4R0TyzePFi\nAP+U1fwqO3bswLJly9DW1oZwODzt/+/r3QsLCyGlxIMHD6L6zLQlZ15eHqSUyse8ysvL8fbtW5w7\nd25a31AohImJCQBASUkJhBBobW1FJBKZ8959Ph+EECgoKIg9UCKiBYgr+URE80x+fj6klGhubkZF\nRQUWLVoUc6X9Z31fLpOcnAy3242qqirk5eXBZrMhPT0dr169Qn9/P9atW4fOzk4A3+r+c3NzMTAw\ngNraWuUaR48exe3bt7Fr1y6sXr0agUAAbrcbSUlJKC4uBgBUVVWht7cXDQ0NGBwcRFFREaSUePz4\nMXp6etDb2wuLxQK9Xg+Hw4GWlhYUFRVhz549SExMxPDwMLRaLU6fPq3E9Xq9yMzMnLalJxERfcMk\nn4honjGZTHA6nTh79ixqamoQiUSUHWh+LOURQsxY3jNbyc+P7WVlZVi5ciXa2trQ3t6OyclJZGRk\noLCwEPX19VF9a2pqcPDgQXz+/Fn56q3VasXr169x8eJFvHv3DqmpqSgoKIDdbldeCBZC4Nq1azh1\n6hS6urrQ19cHrVYLvV6PhoYG5OTkKDEcDgf0ej06Ojpw+PBhJCQkYO3atcoHwoBvE5WrV69GTTaI\niCiakLPteUZERPSdiYkJGAwGtLa2TpsA/E4ejwf79u2D3+9Henr6/3YfRETzGWvyiYjopyQlJaGp\nqQknTpyIWTP/KzmdTjQ2NjLBJyKaA1fyiYiIiIjiDFfyiYiIiIjiDJN8IiIiIqI4wySfiIiIiCjO\nMMknIiIiIoozTPKJiIiIiOIMk3wiIiIiojjDJJ+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5Mz98fHzw8vKq9BdNpVIRFxdHTEwMFy5c4MKFC8TExJCbm1up1zdo0ICxY8fS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\n5uHDDz/ElStXDBYDEZExY/FPRNSC1Ff8x8fHIy4uzkBRAZ9++inKysr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uwDTpc6fVacnKTS8t5N8s4N+4WeBPyUyk8D5HfOrbbiT92o2qlZqvNXsXsPfkZgDkMjmv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\niIiMHQsBIiITdPToUcyePRu5ubkax+Pi4rB3714DRQV8++23KCoqwqh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TE+by+aZ3AdhxeD0xnfsT07m/1c8thLiawWDgTPZxqmurcHP2xN3FE3dXT1wc3WzStNRg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\nn5+vtV6SJEiSpKeogAcPHmDFihX48MMPIcv6+/OzaNEibNy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azU9nthm2pw57glD/iBbF1Rot+ayKolBYmkd+cQ75JbkUXPudX5xDVU1lq6/p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\nQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2542,7 +2744,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 41, "metadata": { "collapsed": false, "scrolled": false @@ -2553,8 +2755,8 @@ "output_type": "stream", "text": [ "sigmas: [ 0. 3. -3.]\n", - "mean weights: [ 0.667 0.167 0.167]\n", - "cov weights: [ 2.667 0.167 0.167]\n", + "mean weights: [ 0.6667 0.1667 0.1667]\n", + "cov weights: [ 2.6667 0.1667 0.1667]\n", "lambda: 2\n", "sum cov 3.0\n" ] @@ -2589,7 +2791,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 42, "metadata": { "collapsed": false, "scrolled": true @@ -2633,7 +2835,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 43, "metadata": { "collapsed": false }, @@ -2642,7 +2844,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "sigmas: [ 0. 0.004 -0.004]\n", + "sigmas: [ 0. 0.0036 -0.0036]\n", "mean weights: [-999999. 500000. 500000.]\n", "cov weights: [-999996. 500000. 500000.]\n", "lambda: -0.999999\n", @@ -2694,16 +2896,16 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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VyR/qBQUFEEIgLi7OaK67uzsOHjzYbABcq0+fPk2OHTt2TB47cuQIHnvsMTg7O8PJyQlu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\nRkZi5cqV6N27t5k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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2785,7 +2987,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 45, "metadata": { "collapsed": false }, @@ -2820,7 +3022,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 46, "metadata": { "collapsed": true }, @@ -2891,7 +3093,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 47, "metadata": { "collapsed": false }, @@ -2906,7 +3108,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 48, "metadata": { "collapsed": false }, @@ -2932,7 +3134,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 49, "metadata": { "collapsed": true }, @@ -2969,7 +3171,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 50, "metadata": { "collapsed": true }, @@ -3002,7 +3204,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 51, "metadata": { "collapsed": true }, @@ -3055,7 +3257,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 52, "metadata": { "collapsed": false }, @@ -3128,7 +3330,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 53, "metadata": { "collapsed": false, "scrolled": true @@ -3136,9 +3338,9 @@ "outputs": [ { "data": { - "image/png": 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PJR+t3MkdVw4lOswKgFar4fFbxxJoMTD3qyyqSkyUlqagoBCg0RNk1qOVrRtC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\nvRAjcurnVxsa5SgM08J9fKVDlyuFZXqwjAPk+5soZ9swS4u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QdKr8mRRCtI88qCiEEKLd0tJOHJt3uvzOkptXjtPXRGTvXEIsDuoLe1NQ5+bR\nJW5czV5u+9GI4J7mOdMG8883P6bq49VoDheKSUV/uQ1vkg6Pz4cpcT+NebG8tX4fd185Ct03Xgoz\naUgG//zNbJ5790s+z82nqsFJgs3IpMHJhOglqBZCtI8E1UIIIdotK8t01s6hrqhz4NO8mMJrMJjd\nxA3cRt2xflSWajzz1maSY8P40f+dJb1x3Ucc/fApNLcLJSyKpFvDCUQGcHm8RIdZCITWU1Jcx/Ga\nGj7YephZ4/u1nFd6LAt/ehF7jw3kaEkNOsVPbHQkpubqszNZIUS3166P4Js2bWLWrFkkJyejqipL\nly49ZdnbbrsNVVV5+umnO22QQgghzj+RNjOqosfXfOK0aEWByIyDhMQUUtpUyoKXPyXn4HEeeOAB\nrr76aprdLhKyxhA6YR6N9YOxGA2YjSfedKiqCtaEQpq89by9YX+b/UWFmZkwOJ2rJ2czZUQ/LhrW\nk1CTvClRCNE+7Qqq7XY72dnZLF68GIvl1G+Nevvtt9m2bRtJSUmdNkAhhBDnp8zESEJ0IbibwoNp\nigIxffag2MrILznC5Zdfxh//+Ed0Oh3PPPMMH77/DgkRaTRXZ1B3PAWL8eug2BpbitvvZFd+eZsn\niQTLmUNIig3DoNedsowQQnxbu4Lq6dOns3DhQq644goUpe0zOQsLC7nnnntYtmwZer3sKhFCCNEx\nEwenYdGH4qxKbHHih8vrIdSylcYNL1F5dA9hEVGsW7eOu+++m6G9e/DITyYSZ0nCXpCNvSYqWM8Q\n4kU1NmH3uDhWVt8VUxJC/IB1yhMYfr+fG264gUceeYS+fft2RpNCCCF+wAIBjfySWlZtOcSxsjo8\nzb5WZWaP70eMLZKAIwaPIxQATdOo21hH+T/zwWVHjexBn1kPkjVoeLDeT6YN5pZLhhNjSqTu0Aga\nK2PQNA0N0BndBDQ/FXX2szVVIcR5olOWlOfPn09cXBw///nP/6t6OTk5ndG9aAe51t2b3L/uTe5f\na6t3HOf19XnUOlwY9SFkJIRx85ReZKdFtig3KNlKYbWZuqJkTLE5NLxfj++wBwDTBVb8PS7hWK2T\nv76xlhkjU4L1pve3cig/gU/3e6k7dAH2miOERByn2R6GZghQV15ITnNVu8cr97B7k/vXvZ0r9693\n796nze9wUL1+/XqWLFlCbm5uR5sSQghxHnA1+3j/qyKKGyvw6hzQrKOuyELhG038ZGIvZo1KCW41\nnD0qhQ3p11DuAAAgAElEQVT7yijPt+J6r5ZAvRdCFJhqJSTbir+qGHd5LJ8fqOCiwT0wh5z4s6aq\nCvfM7E9yjJXlm0NoqAvFXdMPsxpChMVMQoS5Ky+BEOIHqMNB9YYNGygvLychISGY5vf7uf/++3n2\n2WcpKio6Zd0RI0Z0tHvxHU5+upNr3T3J/eve5P61bXd+BdVNm/Hp3aRcsB5NU6jJz6Kqxsdrn+vo\n2yeTn0wbDMBwTePv/3qX45vfgYCfkMQQIq6NwWuF6DALPkslZVUejlU5scSkMrxPYou+Ro4cybxZ\nVbyzcT/rdxWQGG3jwRvGMyAjrl1jlXvYvcn9697OtfvX0NBw2vwOB9W//OUvufrqq1ukTZs2jRtu\nuIGf/exnHW1eCCHED0xlnR2v5kVnsqMaTrwGPLZfLvWFTiqPw+OvbSQtPpyhPaO57bbb+OSNZQDo\n0wdjmRZLWI8CnJ4T9fQmF4bQOpqc0WzdW9wqqAbonx5L//SJPPyTCad82F4IITqqXUG1w+EgLy8P\nTdMIBAIUFRWRm5tLVFQUKSkpxMTEtChvMBhISEj4zr0nQgghzj9xkaHoFB0Bb0gwTVEgIu0IXreZ\n49V6frHwFdy7lpGfdwSr1covH/g9bx2E0vIiGm0uwuIrgnVDQhvw2pvJLz3xwKMxpO0/bRJQCyHO\npHad/pGTk8PQoUMZPnw4brebBQsWMGzYMBYsWNBmefnFJYQQ4lR69ojEajSjeU143cZguqJATO89\neEo2sG/F4+TnHWHgwIHk5OTw5CP3cPcVY4gzJ9KQNxR7VXywns7gA0WjocmBw+3tiikJIUT7Vqon\nTpxIIBBod6NHjx793gMSQgjRfWmaRkF5PZV1DsJDTUSHmYmNsLYoE2oJYUivBEp2lOCo6kFESgEA\nfqefkmVleA8dAcCWOYoXXnudfv0yAfjVFaMorGhg+YYA1Qd1uOuPYYsrw10Xg1HREx9pbXGetRBC\nnE3ylhYhhBCdZueRcrbszmP99nxMphCyMhKYPKwXw/skttiWcfmYPmzYc5j6qkTCkwtwH3NRsawC\nX4MP1aRiHD0CXcTFLFm7n7GDeqIoCoqi8NT/TCXKZuafq7dTU2mhuiITnaLDoJjol55AeKipC2cv\nhDifSVAthBCiU/j8Ab46eJynlm/B4bejaRof78xj5eZD3HHlWH58YRah5hP7qGeN7cuTyz6ntiqC\nipUu7FtKQAMSdOhnRmC02XEdcbBlXxHltXZ6RNsAUFWV3/5kAqP7J/PqR7vYd6wcAn5mjOlN39QY\n9LpOeaeZEEL81ySoFkII0SlqGpxs2JlPo7cBf2gJIbZ67DVxHKhwsuBlB40ODz+bMZwQgw6b1cgl\n2bEcevyP2KtLQIHIKZE4h+hJSQhH05opPV5PTVM9H36Zx08vG9qir4uG92RcdioVtXYq6x1EhJrI\nTIw6xciEEOLMk4/0QgghOkVA09hfWINHcxGZuZfInvvpMWwTuug8Klzl/PntzazcfJBAQGPFihX8\n8/e34a0uRDFaCZs5nOhLo7GFnljJVhSwxpbh9NrZtLsQn7/1cz2mED1pCRGM7JdE7+RoVFUekhdC\ndB1ZqRZCCNEpjAY9voCGXwugM7oAUHV+ovvmUq2plNfo+P0ra3j9r//Le2+9DsCwMROpiJ9MdaAW\nR802IqK/fnW4MbQRFz5KqxpodHiICpO3IAohzl2yUi2EEKJT2Cwh2CwmVFT8zS3PoI7usxuvaw97\n31nIe2+9TkhICH/+85/Z9vmnzL38QqJCEqg9NBR3Y3iwnqr3ohHA7vTgcDd3xZSEEKLdJKgWQgjR\nbj5/AIer7QDXoNeRmRiJQWfEWf/1/mbNr1G2uhT3J6sJOOrQhyfw+N/e4M4770RVVRbMncDFQ/sR\nriZQtWcMjSVpBPw6PI1R6BUDEaEheH3tP9ZVCCG6gmz/EEII8Z00TePlD3fyyke70DSN9IQIZo7r\nx+xxfVsclTdtZCaf5h6ksboHEUnFNFc2U7G8Ak+xBxQwDcrEkPJjNuW7uLnRRVSYmRCDnufunM7d\nzyt8vO0gDcdMNBzrj6Io2BQLgzITCLcaTzM6IYToehJUCyGE+E7vbNjPY699SrWzHE0LsOe4kY27\n8/lkez6/mzeJxJgwAGaN68fjr2+ipj6amg0O6taUg08Dm4rhsjAsGeDY30xufhmHj9cwun8yAOGh\nJp6/63JeXBXP2+v3UlBRR8DvZ0hGDKMHpBFpk/3UQohzmwTVQgghvtM7mw5S76nG0OMAYbGVOGvi\nqCrJ5P0tbqrrHfz17hn0iLEREWpibK9Ijv11NXUVZQDYhtloHm8kJTkCAG9YDU1NUazNyeeCfknB\nUzssJgN3XjmaGWP7cqysjso6Oz2iwxicGS8newghznkSVAshhDgtnz/Arrxy3H4nCcn5hBj9GMPq\nMUdVULX/ArbsV5j/6mf86fZLWPvRB7z/7F1462rBYCTi8iRixqrU213B9iwx5Tgbk8g5WEx1g5O4\nyK9fY66qCr2SouiVFIXPH5CXuQghuo12/bbatGkTs2bNIjk5GVVVWbp0aTDP5/PxwAMPMHjwYEJD\nQ0lMTOTGG2+kuLj4jA1aCCHE2XNyjVgDFJ03mG4KbyA2awcNgSpWrv+S8RdfxlVXXUVdXS29skcS\nd8lduHRTaHaHEBH69faNkNAGAoqPylo7jU7PKfuVgFoI0Z206zeW3W4nOzubxYsXY7FYWuQ5nU52\n7drFI488ws6dO1m5ciXFxcVMnz6dQECe1hZCiO5A07RT5ul0KmEWIzp0+DymFnmmiBpM/s+oXPss\ne774FLPZwl/+8hf2bNvMuCHDsJFI1f7h+Hxf/7lRdT40NDxeH+5m3xmbkxBCnE3t2v4xffp0pk+f\nDsDcuXNb5IWFhbFmzZoWaX//+98ZMGAABw4cYMCAAZ00VCGEEJ2t2etn77FKymqasJgMRNrMZCZG\nYrO0PG1jQHoshyrNuOpiMVtLAPA7/JSvqMC1xwmAPiaNWbc+xLU3/QST0cA/fjOTWQ872XvcR3mu\nSmyfXIw2O57GSPQYsJlDkJ3SQogfijOyp7qhoQFFUYiMjDwTzQshhOgk2w6WsPtgPh9/dZgau48e\nMWEMy0rnygn96ZUcHSw3c2wf1uzcT31tDwJJx3Huc1C1ogq/3Y9iUAifnILbOJvthU72Hqtg0pAM\nosLMLHlwFjc/uZKDJUYqdoWjM9sJNJuxYWFEvyRiwi2nGZ0QQnQfnR5Ue71e7r33XmbOnEliYmJn\nNy+EEKKTuJt9lNc08fdVO6l0NuEKuNhbrmP93kLW7TjKQzdOZPLQdAAmD80gwhxGdYWNsn9V49rb\ncKKRRD2Gy8Iwpyp49zVR72xi694ihvTqQUSoiZ6JUaz6w3XMf2U9H355GLvHgabCgJRYJg7NlKBa\nCPGDoWin20jXBpvNxvPPP8+cOXNa5fn9fq6//noOHDjAxo0b21ypbmhoCP77yJEj32PIQgghOkN5\nvYv3Nx/h3ZwC7PoKrEkHCHjNOCvTCfFGEB8aywNXZDO054kV6weefp3PVryE5nGgGBSsU2x4Bhjw\n+jTCLAYCVQNRKoYxLCmR/5kxmF4Jthb9VTe62V9cj9PjJyM+lPS4UIwGXVdMXQgh/mu9e/cO/js8\nPLxVfqetVPv9fq677jr27dvHhg0bZOuHEEJ0A3kVDjy4MccfxRJ/DABLfD51eSMpawrw7Codd01L\n5c0lf+PTdesAUKKSCL08mvDetXi8fjzeAGEWA82R1dgrfZTXOalqcNMzLrTF+dIxYSYmDEjoknkK\nIcSZ1ilBtc/n49prr2X//v1s2LCB2NjYdtUbMWJEZ3QvTiMnJweQa91dyf3r3rry/nmafZRUN2HQ\nq0SEmgg1h6AoLR8LrKxzYFtXiFJajDnMg8n0fyd7mMA0aCdluQaO7T3AL9/6DJ/HidVqZdZPfsHG\numgqG4vRPF8QHt6A0+PFZDSg0zQcKqj6EOITetBvQBZh3fz14vIz2L3J/evezrX7983dFm1pV1Dt\ncDjIy8tD0zQCgQBFRUXk5uYSFRVFYmIiV111Fdu3b2fVqlVomkZFRQVwYmk8+EtaCCHEWVFV72Db\nwRLKK6tQFQWrNZSEmHAGZya0CHJtlhBsFhNoKgGvoUUbvjoX2pfv4D524mSPPoNH8fH7y0lNTeWe\n59fw5kY/VftHEDcgB0vYiT80/mYTiqJi0Cm4XG7sruZuH1QLIUR7tSuozsnJYfLkycFVjgULFrBg\nwQLmzp3LggULWLlyJYqiMHz48Bb1XnnllTb3XgshhDhzDhZVc/DwEYpLqzhS4UBRFFLio6kcPYBR\n/VNJjg0DwGw00DMpmpAdRtwNUdgSi9D8GvUb66lZWwM+UM16dFlT0Wdfht4SiaIoLPqfqZTV2Nmw\nN0DV7hCsPQowhdVhL0/FojPTO8GC3+/D6/N38ZUQQoizp11B9cSJE0/7Ihd5yYsQQpwbHK5mquqa\n2LqvmO0F9TT5mlBQ2FZQxWe7S7j58pHMvXQo8VGhAEy/IJMlH+VQUReLq6iZ6hUVeEpPvOXQNsxG\n9IwYqvIjqWqq4eXVu3hkzgT0eh2vPjiL+/5mYdWWvTSWh2Kv8GFQ9UQYbfSMtWAymTEbDacbqhBC\n/KCckXOqhRBCdI1Gp4f6hkZ2FTZR6anEGFeAavDgqI3H4Yjm2Xc+p97RzIM3jCfMamRo7x6kxYZR\ntmYbJe8XnXgXeZgKky14+5ix00xYYiENhxLZkFvAbwMXoqoKZqOBp38xjdH9k1nzxQEOF5VjDVEY\n0ysCs8lERLhNjssTQpxXJKgWQogfEFVROFJST6PHiWKpJbLXHhQFtLQjNBb3oq6oL0vX5BAdZuau\nq0bz8Ucfsu/NBfiqKwCF8PHhRF8SRWmjPbhNJGCuokZxkldSxZ5jFQzOPHGChzFEz40XZzOyXyKH\niquxNzXhcruJioykb0pMi5M/hBDih06CaiGE6CY0TaO6wYnH6yci1ITVZGh1oocpRI/LG8Cr+TCG\n1XMyW1E0wlOPgKZRW6zy7Osf8uZfHuarzz8DwBqbir/fBPTZ1ajGPELNX2/dUHUBjOHVOO3xbNlb\nHAyqAVRVoV9qDJmJkdQ1uWl0eoiLsMoDikKI844E1UII0Q24m31sO1hCSUUtNfVN2GxWEmMjyc6I\nC+6PBgg1hxBqtQAKAb/aog2nx4st8QhNXxVxfMdhjvt92Gw2Fi5cSPKgKdzzwkdUHD9OiLWJiNiK\nFnX1Jhf+Rh9V9c42x2fQ64iLtBIXae30uQshRHcgQbUQQnQDeSW17DpwlLc+28PRKgf+gIbVaGRM\ndhq/umIMI/sloigKOp1K76QoQnRGmuxhLdpoPGyn8qNGfFVeAEzJ2Tz42BPcefNlaJrGjvxKXlnj\no+bwUFT9NsyRNcG6ml+PAvj8cqKHEEK0RYJqIYQ4x/n8AYoq6nl7wz4OV9XQ4K8D1U+9K4T/bKtn\nd34lj90yhVnj+wEwYXAa4RYb9Q0R+NxmXI466j6soXmPCwBdtB7bpCyavZewZlcFD2kaiqKwYO5E\nqhucvL/FT/W+UYQm5WPrUQRKAFdtAlGqmQHpcV15KYQQ4pwlQbUQQpzjGh0eisqqyS9vojFQT9yQ\nTRgsdrwOG7X5A8ivcfPQS2uJDrcwPjuVlLhwhvbuQen2EqrW+XB9VUrAFQAdMMKMbXIEZnMTzl12\nCipqyc2vYEivBAx6HU//4hJC9Dre27yX+hIz5SW90fBjVmyk94hiRN/Err4cQghxTlK/u4gQQoiu\nFNA0jpTU4dbchERWEGK1oygQEtpE/KAv0UUVUNxwnLueW83R0jr0OpWsMCeejf/CseEAAVcASx8L\ncb9KJHJqJDFRVqxmPabICpzeJj784kiwL4vJwNO/vIRF/3MZF2YNpGdEBrGGZIalpXPHlWNIjLF1\n4ZUQQohzl6xUCyHEOU6vU/EHQNMC6ELcLfIURSO2327K9xg5Vh3C3X9ajrV0A2+88caJfHMY5nG9\n6TG1HkVRcHq8wbrmyCocNS52H61o1d81kwdw0bAMqhqcVNbZCbOa6J0UJS90EUKIU5CgWgghulhN\ng5P80jp8fj9JMWHER4ViCvn613OoOQSb1QwoBHwtg1qnx4vFaCA6M4eSt47wwcqdaH4vJpOJm265\nnU+qEyhzl9FUsZ2whDIs3wiK9UY3Ac1Po8PT5riiwy1Eh1volxpzRuYthBA/JBJUCyFEF9p3rJLn\nVnzBuu15uL0+rCYT/dLi+PXVo5kwOB04sXI8KDMeo85MXUMUmkbw/GmnuxnXASdNH9Xhr/UB0KPf\nKLZ+tJy0tDSeffsLnn57ExV5fnQGL9bo6mDfAb8eUEDe0SKEEB0mQbUQQnQRl8fLSx9sZ8Xnu2gK\n1BFQvCjNOsr2lrPvWDm3zbyAe68Zg6IoDOmVQEyYjfpaK157OL6QauwlTho/rIOiE8G0IT4ELfNS\nzOmTCbFGAXD3VaMpr7Xz2jo/VQcuwJ10mIjkY6h6P01lKZj1Fob36dGVl0EIIX4Q2vWg4qZNm5g1\naxbJycmoqsrSpUtblXn00UdJSkrCYrEwefJk9u/f3+mDFUKIH5I9+RWs/vIQ9kA9kX23kzJ2DT1G\nfooae4DipkKee3cL//jPTgCSYsIY0juREMw0FMTj+KiexherTgTURgXzJeHE3J6AsZcRp9fOmpz8\nYD9/+OkU5k27gB6WNHylgzn+xTSKt07FX59CmDGCGy7K7qpLIIQQPxjtWqm22+1kZ2czd+5c5syZ\n0yr/ySef5JlnnmHJkiX06dOH3/3ud0ydOpXDhw9jtcrbtYQQXztwwE1h4anz09IgK8t09gbUhbYd\nKqXO2YjOVoUlpgxFObHPOabPXuotTVQWKDz5xkbSEsKZNiKTK8f3ZeXyl2k4sA68HlDAMiIUwwQr\nsQknTuXwRlbhanKyeW8R8y4dAoBOp7Lwp1O4aFgGT72xhbzSWjzeZqJsVn599Riy0mK78jIIIcQP\nQruC6unTpzN9+nQA5s6d2yr/z3/+Mw899BCzZ88GYMmSJcTFxfHvf/+bn/3sZ504XCFEd1dYCNOn\nnzpoXr3aTVbWWRxQF6ptcuHXfBgsTcE90idFJBfic5spr9Cz4OXPqDz0FfMfeZiGY0cB0CX0oMe1\nIZiSDC1O9DCYnLgCPuqaWp4SAjB5aAaTh2bgafZx+HgtPXtEYDWHnNE5CiHE+aLDe6qPHTtGeXk5\nU6dODaaZTCYmTJjAli1bJKgWQpy3HG4fVY1ubEXVhIeaiA4zY9DrvlHiRCStaW0/KRideYjifI3t\nby7nJ38rAqBnrz5oGRdTabLQ1FiAMXFXixM9NE39RsttM4boye4pb0YUQojO1OGgury8HEVRiI+P\nb5EeHx9PaWnpaevm5OR0tHvRTnKtu7cf0v1rakoDTr1S3dTURE7O3rM3oDOksMrOFwcryM2vRPfR\nHmLCLWRnxNE/NYKECDMA+uZ6lIAOd6MNt7vlynJDmRvf5w6a95x4MYvOFMp9d/2S2bNn8/nBap77\nYB+VVX4q/H7C0neh6k+sVtsrY1ADOnQB1w/q+6arybXs3uT+dW/nyv3r3bv3afPl9A8hhOhkdpeX\n19bns3HfcXyKCwBV0/HpnjIuGpzE9OGp9E4Mp39qBCa9kUZXOAGfAVXvJeAK0LipEftWO/gBPag9\nBxPV+0dkXTABvV7Phf3jqXc08+q6APU1eqobYzFGlIOi4alOJ8YQxmXDkrr2IgghxHmmw0F1QkIC\nmqZRUVFBcnJyML2iooKEhITT1h0xYkRHuxff4eSnO7nW3dMP8f5VV7fe6/tNNput28/3ldU7+Sq/\niia1GnPsMUJM4GmMpL4pjjW7QWcKZ9SIYQwcZGPA2kLqD9firU4jcGwPtZ/Vork1ANQsI+HTIvA1\n9IZGA42EBa/NsGHDGDU0j2ff2sr+olI8dfEEND+xRhtXXDiIm2ZdhKrKAdQd9UP8GTyfyP3r3s61\n+9fQ0HDa/A4H1RkZGSQkJLB27VqGDx8OgNvtZtOmTfzpT3/qaPNCCNGtBAIar63dTYO3FmviAUKT\nDmEymdA0cFYmUZc3mNVfHSAxNoz7rh3HjFG9+GLdO1R9/BW4nQCYe5nxjzaROigagHqtDk+dmz3H\nKoP9GPQ6fjS2L0N6JbBu+1HySmupaXAxLjuVWeP6SkAthBBnWbuCaofDQV5eHpqmEQgEKCoqIjc3\nl6ioKFJSUrj77rv53//9X/r27Uvv3r1ZuHAhNpuN66+//kyPXwghzimNDg+FFfU04yIiIS+Yrihg\njS9BC6g05A9h6UfbaSrcxYfL/k5j/olyuphw4mZZsfQx0+D4ekVfr/fj1gK43N5W/aXEhTNv+lAC\nAY1mn7/F682FEEKcPe367ZuTk8PkyZNR/u/MpwULFrBgwQLmzp3Lyy+/zP3334/b7eaOO+6grq6O\nUaNG8fHHH8sZ1UKIVtLSThybd7r8c1mjw0NBeT0NDjeh5hAiQk0kx4YFT/WoaXTiC/hQDW4Unb9V\n/dAexdgPeijdcJTn3ikHID4plUDqhTTFxOKz7ENRjhERag7W8bnNqKhYTac+/k5VFQmohRCiC7Xr\nN/DEiRMJBAKnLTN//nzmz5/fKYMSQvxwZWWZuu051GU1TWzYdYy1X+znYHENNouRxJhwpo3ux0XD\nehIbYSXcakJVVDS/Hk2jxfnTVYcaaN5ox3XkxMq0arLx8zvu5ckFv+H5ldt57p3PqSsEzWckLPUI\nqs6P32vAUZGKTbXQLy2mi2YuhBDiu8iyhhBCtIPT7WXT7kIee+UTqp0NeDQ3Cgq6o3o+2XmM2RcO\n5DfXjiMlPpwom5VShxGfx4LB5MRT4qHm4xqcB07smVZNKiEDsjAlXI4lYzRmk5GfXz6c2gYn/167\nA3tpCKXlKRgsDnweEyZ/FJnx0YwbmNLFV0EIIcSpSFAthBDtcLComhfe3UqFoxaPsYyw5KNomoK7\nPpqq6mSWf+bB3eznmV9eQs8ekRyqNOI6ZqIxtxjX/hPH6qEH3VAL4RPDMPjjceUrFJXX0eRsJjrc\nwl1XjSEtPpylq3Morm5Ec/pQFZUYm4U5lw6jb4qsVAshxLlKgmohhGiHrfuK2VdcgVOtIWHgV+iN\nJ/aFhyYU46wpo+bAcP7zxT76pkSTnaCy6uXVuIv3AKDoFcLGhOHONpCSHgGAu8FOE15KqhtocnqI\nCjOTHBvGTdOGMDAjnsNFFRyvqEXTAgzuk8aAngmEWY1dNn8hhBCnJ0G1EEJ8B6/Pz56jFXgCLqwJ\nxcGA+iRLdAW+jH3U7Gnkdw++jb1wB5qmgarDmB1Djxlm9OF66u2uYB1V5wPlRNvuZl8wPSLUxITB\n6QzulUCDw4O72UePqFDCQ0/9FkohhBBdT4JqIYQA/P4A+aW1uDw++qbEYDJ+/esxENCoqHfgx4sl\ntKlVXW+NF9fnX+HZ8SkeTUPV6Rk/dRb7A+k0mhz4dV+gx97yRA+XBR06wiwhwZNDTlJVhUibmUib\n+dtdCSGEOEdJUC2EOO+t2nKIv7z7FYeKqwhoAawmE1mpsTxw/ThG9U8mxKDDYjQAClpADdZrrmim\n4uMqPHtdoAGqgi51IP3H3sB/XrqHG3/3OpsPFVK5bwRxWTswhjUCoGkKjSWZGDGRmRiF1WTomokL\nIYToNBJUCyHOa+u2H+U3L6yhpKGEZsWOovOh1RkpbSxh9+Nl3H3lWO748QXEhFvQKXp8HhOeUg+1\n62px7HX8XzANtuE2IqdEUXFkHA1+AwWVjdw3qz/V//KQX6WncrcFY1Q5IRYHzY2RKI5YYqwRXD4u\ni6gwWZEWQojuToJqIUQrmqbh9QXw+vxogMVo+EG+9rq0uol7/7aG4w3H0UUfJbnPXlSdH5/HQN3/\nb+/Oo+us73vfv59hz/PW1ixZkoU8yBMYQzww5kB6nJQkdN3S5LZQ0tsV0kChcNdJm1AKrCY1dK0T\nzqVNaMNNckJaDiE0DWe14Sb0Bh/b4AFDPM+SLU+apT3Pz/M7f2wQFjZg0LYlme9rLa0lP/vZv+d5\n9m/J/ujn3+/76+vi5FCe//q8zZy6EB2NEbT4EOPbdzFy6nSlAQPoduFa5cfV4Mbpd2Acz1Mulzg5\nnKTW5eBb/+cV/Mtvxvn3zftJjocpjZdxaAYBp58/+NTlLO9qOmv6hxBCiNlHQrUQgvFUjsHxDEPj\nGTL5IqWyhWXZlMuVBXRut4uA10XA4yToc9EQ9RPwzv5KFD9dv5f+8RGUd5Da+bvQdAWA6SpRO28f\nY84CgycMHvibfyQ0so34tlcB0Bw6oZVBwteFGShmaakNTrRpOPOUi2UGxtLUxiDgdfDf7vnP/M61\nC9iwq4/TI0mcOqxZ1sHllzXSWhealmcXQghRXRKqhfiYsm3FsYE4xwbijMSTjI+NEU8kyGWzWJaF\noWuYRmV0umiBx+3G4/Hg9fqoqamhoSZIe0OYxprAjB7Ftm2FpoGmnX2PW/afJGtl8DecmAjUb1O2\nwpndRXzLG/QMjwDgcHnR51yOeXk9NSt2o2ngT0+eD20VPBiaQcTvBtIAmIbOJ5fP5YbLO0jnimQL\nJaIBD06HjFALIcSlQkK1EB9DY8kcu3oHOdE/xKmTpygWstT4HDT7TXw1fgx9cgi1bEW+ZJMt5kgn\nUuw+fZK+YIijdfXU1kSY2xShsyk6o8L1iaEExwcTHB+Kk86V6GqJ0hwLMrcxgmHolMoWQ/EMlirh\n9L5T0UOVFaOvx8m+lqI4WKwcdLipX3wT/+//8y2+/oON9I4dJX6sSKTj4KSKHqWsHysXxOvz0N0W\nIzmYnnRPuq4R9Lmk3rQQQlyCqhKqbdvm4Ycf5p//+Z/p7++nsbGR3//93+fRRx9F1/UPbkAIcVGU\nyhb7jg1z5OQIfcf7yKYSzKlxE64PnHMk922GruFzGfhcBrUBJ3NqFKPpPCeOHuZYn4PB4VZODtez\ndFx2DDIAACAASURBVG49NSHvRXyic9t3bJgXN+7hX//XXk6MJrGxcRhOGqMBfuf6xXz1c1cR8Lpw\nmgYaGigTO2+T2JogvimOlbAAMEIG4TVh0q61GMYilOHiv3zhGh76QZahUzZW0UW47TCGK4dVdDGy\n/wq8WogV81tojgVJDk7zByGEEOKiqUqofuyxx3jqqad45plnWLx4Mbt27eIP//APcbvdPPjgg9W4\nhBBiikpli817T3Lk2AlOnDhBXcBkbosf4yOMLhu6Rl3QRV3QRTJX5tixXkZGRhhPZljYXs/81ti0\njVofOjHKzzfs5rsvbiNlj1PU0pV5znkv44MuTv5snDcO9fPdP/sMHqcDlc8y/h8nye0+jZ23K41E\nDbxrAoSWB/H5nJT2Fikli/QNJrjrlis5NZzk6X/fxuiwi4HhVpReQlMmLvzMrW3kvv9jJT6Pc1qe\nXwghxPSoSqjevHkzt9xyC5/+9KcBmDNnDrfccgtbt26tRvNCiCkqlS227DvJwZ5jDPafYkGjF6+z\nOvN5gx6Txa1+To/n2LNnD5lMhrFkjk90t2AaF/d/qgrFMpt29/HU/9xGwhrBWd9DrGM/umGhbI3M\nUBPjvYvYsKfMPetGObzpRXJbXgZVCdPOdhfOlT7StQpXyINmVn4x0M0ytrJI54o4TIP/+/dWs7C9\nlu//+3YO9A2TyRcwDI0lHfV86TNXcdWC5ov63EIIIaZfVUL1Nddcw1NPPcXBgweZP38++/bt49e/\n/rWMUgsxA7wdqA8cOcZg/0kWNPpxOaobdnVNoyXqJuQpc6T3CIViEQV8YmFz1crFKaUYS+YYS+Uw\ndL0yN9nrmrTY79RIil9uPUCmnMKMniDSuYe3Z7VousJXfxJr4BQj/3+Zn/7s2Fvv0tCbOqm/ReHr\nrHwug+NpaoLvTGNRlgm8M/LudBh8/poFXL2gmcHxNKdGUhi6xtzGyvzyi/3LhBBCiOlXlVD953/+\n56RSKbq7uzEMA8uyePDBB7nrrruq0bwQYgp2HBngYO/xCxaozxTwmHQ3+Tlw6jjKtrFtxapFLVMO\n1qOJLDt7BhkYGWP3kdMMJ3LEIgEaY2GuWdLG0s56HKbB0HiaXT2DFMhR09IzEajtkk3qzRSJTYl3\nFh/qBrF5a1h0zWfYOZwgnT6O196KpqtJ5QJty6CQiOHBSXvD5PJ3TbEATbEAV3Q1Tun5hBBCzH5V\nCdXPPfccP/7xj3nuuefo7u5mx44d3HvvvXR0dPClL33pPd+3ffv2alxenAf5rGe3j9p/I8k8v+kZ\n4lhvDx0RnePHLs48Z4eleHP7KY4ePcb+Aw0sbYvgMD9amE9mS+w6NsamnUd4vTdJplyiTAnQ0ZVB\nzB/gP185h99ZOYf9JxOMJtKU9AK2OUh6sExmW4bMGxnsbGWKhx7Q8V/lJ+f+DJpjIZe1NXFsrMxw\noo6hA90E23agGxb5vIVSkOxdgVn2EvUbZMcG2L698KGfQX7+Zj/pw9lN+m92myn919XV9b6vVyVU\nf+1rX+NrX/sav/u7vwvAokWLOHbsGOvWrXvfUC2EuHDKlk3PQIrTp09T69Nwmhdv4aDD0GiPGPSN\nDqJp4HYYLJoTfs/zbVudc2Fjvmixu2+M13YeYePhOGkS2J5xnIFh7LKLQibEiUyIZzdmOTqU4uZl\nTZX2xgcYe2GU3N4cvLX2UG8wCV8TxNNdmSutjsUpDOfIFiw+t7Kd/7GhTH60i9FUDc7wAIYjTzFZ\nB6lGQlqA67tjRPyy+FAIIcS5VSVUZ7PZs0rn6bqObdvv+74VK1ZU4/Lifbz925181rPTVPpvd+8g\nnoEiLfU1LGzyvW/JvAuls2Sz73QGZyBKTXMHHY2RidfKls3R/nFOjaRIZvI4TAOXw8TndtDRGKEu\n4mPv0SEyB8fZ2pcjZ6TwNh4m1H5gYlqHUpAeaCXe280bPTqpk/uJv/YC1thxcgA6uBd7cVzpJRW0\nUCE3ymHicTkoBAoURhX+UJT/69araW6s58e/3MFYLoQVb6asyoR0Fx6vh5uXNbH2+qu46cq5eFyO\ncz7rucjP3+wnfTi7Sf/NbjOt/xKJxPu+XpVQfcstt/DYY4/R3t7OokWLePPNN3niiSe48847q9G8\nEOJDyuSKHDk5yokTJ1jQ4JmWQA3gcui01bjp6enB5/VQE/QS9LlIZgq8tvc4Ow/08fr+PvL5PG6H\nSdDnorstxrGWZlrqaxhJZFn/m6NkVRoj2jcpUAOVUXB3L+bAYfp/M0Z/MVt5weEisCJK9EYnJQ/k\nCiVI5ifdm6ZVdlBUwKL2WorlhTTXhtj4+j5GklkKJZuQ16S9IcgVSxZz1YLmDxWohRBCfLxUJVT/\n/d//PQ899BB33303Q0NDNDY2ctddd/HQQw9Vo3khxIfUN5hgeHiYkEfH65raIsFc0SJdsMgVKhui\naFolLAc9Ju7z2GY76neQyJXo7T1KwOtm5cIW/r9th/nOC5s43D9KWcuDptDRMTDZcmiEJa2nWL6g\nldGMomcwRc7KUtPS+84Ita3IHs6SeC1B9kC2kowBPVhLcO410HwZWmMPjvAuHIDX5aBs2ZMqetgl\nJxqVrdgNQ+fKeY3EQl5qImFS6SzpdBqn00E0EmZRex0NUf+UPkchhBCXtqqEap/Px7e//W2+/e1v\nV6M5IcQU2Lbi+FCCoaFBOmMffQ7weKbEqfE8iXSBfD5HPl8Z6dU0DafTicfjxedxUh9yURd0Tmwi\nUyjZpPJl8qXK9C/T0KgNODk6HOfYidP0Dcb5uxdeo3fkNAU9jqemH8NZoFw2ySSjJLNRUj05+oaz\ntNR4SGQLWI48Dl8SK2ORfD1JYkuC8li5cqMG+Jf68a+IMjLw2+haKyYWqeE55GIDeKJDAJMqeigF\nubEGvLqHhXNqJ56rvSFMW32IVLZIPJ3H5TCoCXmlRJ4QQogPVJVQLYSYOYbjGcbGE+iqjN/t+dDv\nt5Xi6HCO0yMpRkZHyWczeEyF26yMUisFmQwMD2mYDhej0QgD4RCNYRfjmRLbe+OMpbKUyxYaEPY5\nuKwxhNPhYNuuI7x5Ms/R4QFKnn4almzFcBYnrq0U5EbrGe1ZQinewHgqQ7FUopw8zeBPBsjsyqDK\nlWFpI2zgXO6l4ZoYhr8yYp4ujECinnnN9Rw8bTF2eCm1i7bh9CfxnjF1I3WyE5WpIRYKcsMV7ZOe\nX9O0Sg1snwshhBDifEmoFuISc3o0xejoKDX+Dz//17IVB/sz9A+PMzQ0SNRt0xSGc03JVkqRKeUZ\nG+6nf3iMl3M+Dg2kyVk5lFYGrbJdiqEcbD4SpyvmoKy72NufpuQaobH7zUmBGirX8cYGMV15Bl+/\nnMSxPgondqIyw6QBNPAu8OJe4SNTD7mSRdwu4Ck48LocODwZVLLMvDn1aMrmwIDN8K41eOuP4wyO\noZslciON5IfaCeo1/O4Ni5l7xuJJIYQQ4qOSUC3EJWYsmSORTNBVOzlU20qx71Safacy9A5lGcuU\n0DVwGDqtUTcddR7CHgfJVJLhwQFaAgrX+/wNoWngd4LLgF/0FDk8lqHsyKD7xnCFByr7DyqdfLKB\nfC7CnhEvpUKJgp7GEe1Bd6WAydMqlK3IHcmR3DZAYe+bYL01WdrpwbPcS+31Psp+jVyhRCGZx+2q\nVPKYGIXWbDRNURvx8emV1/KD/7mZHUedFIeC5IZK2Ng4cRHUvHzhxiXcet0i/B4pkyeEEGLqJFQL\ncQkplS1SuQKlYhGP453pC8eGc7ywbYCjYymyVoaCXaCsKnOSNXT6Uk629LnQigYhe5xr5rpwmU6U\ngqEsDKQ1koVKkPY5oMGvqPOCocPBMegbtyg5Ujiat+Ks6cNh6jgMDU3T8Ko9lJL1pE8so5xvxaKE\n4T5NOlck4HWhaxqleInU6ymS25OUx9+aK62B0dQCkSvRmtow2vajh3vwGvpEiJ4UqAFlm2hoeF1O\nbryiE7/Hzbbdh9l+4CTD8Sy5okVTjZdPrpjPdcvnsXRu/cXrHCGEEJc0CdVCXEJS2SK5bBa3Q5so\no7f7RIr/vvEkI4UxCuYY/ubjREKjOHwpAOyyg2IyQup0G7kxk0wxz0s7nXQ2REhoQYZyNiWKlKlU\n/zDQceAgYJrMjyp2D0HeyOCMHcQV7aFsQ9ky0TUd09DQNHCGBgl7/xdD234PdEWRNLlsgfKBPPnf\nZMgdzk1U8DDCBqFPhAheGSSX62B0ZxuUvRSG5pKvP40/VNnR8KxAraAwXktYd7OgLUY06OHGKzpo\nrg1y7ZULiaey2LZNwOehtS7EvJaac244I4QQQnwUEqqFuISksgVyuRxeZ2Xh3r5Tab6/4ThDhWGc\ndT00dOxHNyZvyqQbFlpoDKugYRQKlDMWo/FORoZdaO4kuieNK3Ia01Mpem/lg6STdaTzYYZO+cmX\nFAQSeBt2oGlgAJZlUdY0dO2dnRJ1RwHTN0xpIIk6Hifdm4T820ka/Iv9sMiF2eEkGvIB4PWfZsS1\nFDNrYxZDxA9dhfeKzeimNSlQA2QG5kAhTF0szJpFrQA4HQaLO+qAyih+2bKl1rQQQogLQkK1EJeQ\nZLZANpvF6zTIFiye29LPSGEUd9NBQm0Hz7ngEKCc92BlLByuBA63Rb5cg6Vn0CJH0Jt24PFpEyXz\noDIqXErWEz94HZZmonlPY2NhALoGCkXZsirl9zSwkza5XTnKr78AqeREO3qtge/KAN7LfWQ1i1Sm\nCKkClq0IeF14XeDw5vESRFOKYr6OwV2riXTuxR0am7iXzGArid4lBI0on7+2+5w1pR2mgcOcWs1u\nIYQQ4r1IqBbiElIsWZRKZfwOjZd2DdOfjqP8A+8bqKGyEYpdsHHoeVLjV2ObNlr0CKpuK2VlksgZ\nhD3mxKizpoEjOIQjMII1HkM5x8mWwWtW5lkbGhRzFrkjRVJ7C5T6zqjy4fRCRwxWjGM2OHF5XThc\nDuqdHkyjsiPimZu0ONxZzLKDtqDBYNpDsehhfE8Y28xhurKUi26MUoCAFuZzq7r5/ZuWYEhdaSGE\nEBeZhGohLiGKyihxqax4vTdBspyitnPv+wZqpSrzqlWpgGW4KZZiKFcWo2kLGAWsopuyBam8RtBj\nTMzVVraBsgw0o4wy81jKJl3QcJ8uU95XpHioCG+tOcQE9wI3znm1pNK3ohw5iLyIZZUplcs4TBOl\n1DmnZlhFN26HQVtTDSvr6+g7NcSeE14K5TJ23gKlE/C4WLtqPl/69FV0tdRU/4MVQgghPoCEaiEu\nNUpxoD9DopDF9I/ifGtB4nvTUApQNsV8M0pTaKGjaGZlQaDhLGAVNIqWRq6kTczX1nQL3ZFHWX44\nWUb1Z1CHLLJvz5MG9BYTvduJf5EHT9AJlCnuG6eQCqKGl2M3bMW2FZZtYdnmWfOkS1k/FH34fU6W\nddTQPreTT63sZnw8wfBYkqHxFOGgj/kdzVzWEpuYPy2EEEJcbBKqhbiEKFUJtL3DWXJ2Dm+s/zze\npIENmqYol6IoXaEFT0y8rGkK3VHAKmlkCxouU0fXoHSqSHnXNugZgULmnfYiOo5uJ46FDsp+KJYV\nGVVGL+m4HCa+5l2UDl6PFe9EmXns5j0opbBtVVnlOPEsED82H5/ho6POQ00kwuWXNTCvpYZ4Ok8y\nWyCTKxL0uWiI+mUBohBCiGkloVqIS9BQskjJLuELJM7jbAUaKKVhWx4UCt05eXRbN2ysconykM34\n4Sz2wSJW3AJGKyd4/bA0gzbfRIU9KN3A5QStbGPZNqWyTbFUKcnnCg3hn7ODZM/VqJHFFHDgbjuA\ncr4zwq0UJPrmo+Kt1PrCzG8MEIvV0lQTwOkwqIv4qIv4qvRpCSGEEFNXtVA9MDDAX/zFX/CLX/yC\nVCpFZ2cnTz31FNdee221LiGE+ACGrqMbBvFsibKyMFzZD3yPpis00wZdx7ZdldFiozL1QykFQ2Af\ntOFACTUKpbff59NwzYtScl2HFa5Db/8PtNAx7JKNbRsULXCYOrbSUJpOwPvOZjSe+sPkx5opDHeg\nhheRSHVQrBnE5a5sb54bq0PP1xBz1nDt/AhLFl5GZ0st0aDnAnxqQgghxNRVJVQnEgnWrFnDdddd\nx0svvUQsFqO3t5e6OpnfKMTF5Pc48bjd2DaAQtPUB70FeKtWtamhaSWU7USdcGAfS1fCdPyME91A\nlxNjgROrVqE7vJj9JexxB/bQleiB45WFi7ZB2dZxGmAYGmg6SqmJRY6aBg5fAhW38OtBCnk/DMfA\noaGAsO4i6veyvD3I5Qvm0tnWzLJO2f1QCCHEzFWVUP3444/T1NTED3/4w4ljbW1t1WhaCPEh+D1O\n3O7KaK6GhlLnV1pO0wtYYwWs/Zugvx/rzDnSXtDn6ah5oM0xUZYX0PGb4PeUKZSHKMebsXNR1NBy\ntPo3AbDPyPOmUQnLbxchUQrK6Rrcus5V7V5MbxiH043XqZMrFIkFnHS31dLYUE9TXZSrFjRLmTwh\nhBAzWlVC9YsvvsjatWv5whe+wCuvvEJTUxN//Md/zN13312N5oUQ58nvceLxuDF0DU3TsUsOcOXf\n8/xyoszYy2Ok9x7FzljvvOB1oXeX0OZraC0amq5hKwXY2JaFZUFJ0yiWy5i+BO5YL7mhBajhy1Ga\njQofxFaV8FyhcWZVv/xIB1o+itcwaAgYzF/QzOIFXbTUBskXyxRKFiGfi+ZYUOZOCyGEmBU0pdT5\n/f/w+/B4PGiaxv33389tt93Gjh07uOeee3j88cf56le/OuncROKdhVOHDx+e6qWFEGewbMWmfQM8\n86tdHE2P4+x4DU/sxHueb+dsTj9+ulL9I+jCqK/Hil6FagZj3s/P/Z6SGywHfqeB06gscCwlWiic\nqqOU6UI5SxA9iFazG49ZRgGmaeI0KrHaKgTIHP4U/mKELnecUDjKimWLuGZpG3Uh94X4WIQQQogp\n6+rqmvg+FAqd9XpVRqpt2+bqq6/mW9/6FgDLli3j0KFDfOc73zkrVAshLhxD1/C6HdT4HRxPm5Sz\nYeC9Q7Xu0Qn8dgg7ZpAxIhiZKPZQHeRtVKYOzTd01ns0zUYBlnr7zwrTN4xq0KFfUc51YQ8vQqXa\nKUUOoPsGsU0dS9coJZspDi/AXQrQ6ikS0ItgOAmHg9QEXGddSwghhJgtqhKqGxsbWbhw4aRjCxcu\n5Mknn3zf961YsaIalxfvY/v27YB81rPVR+k/V3SQvpE8B0b3kEg243Idft8dFd3XVEaHR+IF3AEP\nyfQIhWItang5uv9XZ51v65USfJqm43S+9VeI08ZhJjANk8L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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3179,7 +3381,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 54, "metadata": { "collapsed": false }, @@ -3218,7 +3420,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 55, "metadata": { "collapsed": false, "scrolled": true @@ -3226,9 +3428,9 @@ "outputs": [ { "data": { - "image/png": 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0aFmH1eN70vyxgjGFIyfY2dnRt29fOg35EtuancG5KMRfY/OPX+PrV56ZM2eS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\nzJwmQGFhIZ5//nksWbIEcsdXa5iLdr777jukpaV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RpkwZw97e3vj9998ztX377bdG69atDXd3d8NisRjVqlUzxo8fbyQmJmYZp3Xr1oadnZ0R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\n3HOyceaini+//BIrV67Ea6+9BrPZjGeeeQZ1dXX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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3259,7 +3461,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 56, "metadata": { "collapsed": false, "scrolled": true @@ -3267,9 +3469,9 @@ "outputs": [ { "data": { - "image/png": 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bVHpn2mKxVHqwXq8vMxe1EELcSU79cYi8/XMpOnMMAMVGA/fVwMqzN4WeTdHW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\n", 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u3TUnJyfNaDRqYWFh2rRp07SCgoIq7XTv3l3T6XRabGysNnfuXC00NFQzGo1avXr1tOee\ne67aOpqmaX/++ac2fPhwzcvLS7O2ttb8/f21Rx99VIuNja22/Icffqg1a9ZMs7Gx0VRVrdFndPEe\nvP7661XOnTlzRhs3bpzm7++vGQwGzcvLS7v//vu16OjoS7a3bNkyrUePHpqLi4tmY2OjBQQEaCNH\njtT27NlTqdyiRYu08PBwzd7eXvPw8NCGDRumHTly5JLL5FX3dVJd2UsttXjxFRgYeF1xxMbGakOH\nDtU8PDw0vV6vqapasRxhXFycpqqq9sgjj1T5XNLS0rQJEyZogYGBmsFg0Nzc3LSBAwdqO3bsqFL2\n4j2prh1N++/XkxDi9qVo2uXXuVqzZg3W1tY0btwYi8XCV199xb/+9S+ioqJo1qwZb7/9Nm+99RaL\nFi0iODiYmTNn8ttvv3Hy5Mlqdx8TQgghhBDiTnPFpLo6bm5uzJkzh3/84x/4+voyYcIEXnrpJeDC\n8lWenp68++67/OMf/7jhAQshhBBCCHGruaoHFS0WC99++y2FhYV06tSJ2NhYUlNT6dOnT0UZo9FI\n165d2b179w0PVgghhBBCiFtRjR5UPHLkCB06dMBkMuHg4MCqVato0qQJe/bsQVGUKpsfeHl5kZyc\nfFMCFkIIIYQQ4lZTo6Q6NDSU6OhocnNzWbFiBWPGjKl2bdaaqG5ZJiGEEEIIIW4X1W3uVKPpH3q9\nnoYNGxIeHs6bb75Jq1atmDdvHt7e3miaVmVd17S0tEtu3yqEEEIIIcSd5po2f7FYLJSUlBAYGIi3\ntzcbN26sOGcymdi5cyedOnW6YUEKIYQQQghxK7vi9I+XX36ZAQMGUK9ePfLz8/n666/Zvn0769at\nA2DSpEnMnj2bkJAQGjduzKxZs3BwcGDUqFFXvHh1Q+dXsn//fgAiIiKuuq64tcm9vbPJ/b1zyb29\ns8n9vXPJvb06V5rCfMWkOjU1ldGjR5OamoqTkxMtWrTgl19+oXfv3sCFLXxNJhPjx48nOzubdu3a\nsWHDBlmjWgghhBBC/G1cMan+8ssvr9jItGnTmDZt2g0JSAghhBBCiNvNNc2pFkIIIYQQQvyXJNVC\nCCGEEEJcJ0mqhRBCCCGEuE6SVAshhBBCCHGdJKkWQgghhBDiOklSLYQQQgghxHWSpFoIIYQQQojr\nJEm1EEIIIYQQ10mSaiGEEEIIIa6TJNVCCCGEEEJcJ0mqhRBCCCGEuE6SVAshhBBCCHGdJKkWQggh\nhBDiOklSLYQQQgghxHWSpFoIIeqYpml1HYIQQojrJEm1EELcIPFpufxnzX5OJmbUqHxpWTmPz11D\n2ycX8PynG8jKK77JEQohhLhZ9HUdgBBC3AnyCk2MfP174s6nYfzGhoHtQ/nXE32wMVpdss726Dh+\n2X+c9OIUEjalsOtIIoteiqSxv9tlr/XLH6f55Kd9tG7sw1NDIvB0sb/R3RFCCHGVZKRaCCFugJKy\nctKy8sksSSW5KI7vf4ti+MzvSc0quGQdnapi0cop18oosDrDseQzjHx9BUdjz1/2Wi/9ZxPbjh3i\n4593MOiVb4mJS7/R3RFCCHGVJKkWQohLsFi0Gs93drIz4GBrg4oe56DD5Gjx7D15godnr6KouLTa\nOm2CfbA32KOg4tboKGa7WE6nx/H0B+vILyy55LVMpWaKywvJ18VyPPUMo2ev4ni8JNZCCFGXrphU\nz549m7vuugsnJyc8PT0ZPHgwR48erVRm3LhxqKpa6dWxY8ebFrQQQtxs59Jz6ff8Ejo/8yXTFm4l\nr9B02fLWVnp6tg7ATu+AKccV75Z7KFCT2HfqDBM++qXa5NzJ3kj3VgHY6h0oSPPDs0kURbpkYs4l\n8PxnGy95LT93B6wUa5wbnMJsl8Dp83E8OW8txaayS9b57VA8j72zmq9+OYipxFzzD0IIIUSNXHFO\n9Y4dOxg/fjwRERFomsbUqVPp3bs3MTExODs7V5Tr06cPS5curfjBYW1tffOiFkKIm2zh+oMcio8j\nvyyH02lJbP0zlk+mDKRZoOcl6zwxqA2rdx/nXKY/Zq9YXNx3kXYgkJXfHyX72CYCXK1IT08nNzcX\nk8mEyWQiIzuPwsQ0zJqZIvtCyrXlpJe6s2iPA6c2fUGrsIa4u7vj5uaGn58fDRs2pGOYD4fiYynK\n8MKr6X5S/jRwPMmWmYu3M+fx3lXislg0npy3luTcZNbvO8bPe06y4NlBuDja3MyPUAgh/laumFSv\nX7++0v8vWbIEJycndu3axYABAyqOGwwGPDw8bnyEQghRBxxtrNE0DYtVHvn6DA4lFTFi5nK+fPFe\n2oX5VZQrKSnhyJEjREVFERUVRdm+3ZjPxZO0Ovf/SxwnG1i578rXLL1YhXOYgC3JMWxZX31ZndEB\ni609loYlGD02kZ7bjm836bm3Syjtwvwrlc0tNFFcWkqBOZciMtlxpJSn5+v44rnBl32QUgghRM1d\n9eofeXl5WCwWXFxcKh3/7bff8PLywtnZmW7duvHmm29Kki2EuG31atOQD1Y6kFtkg3vzfeTEF5CY\nbeGxt5bxZFd3YqL3s2vXLo4cOYLZXM10CkUBO1twKUHV+6BTfQkPDeOfw7vj5OSEjY0NRqMRo9FI\nUamFp99fS+z5OEptj+NZL5mskyEYi13o27w+QZ5G0tPTSUxMJDY2lri4OMymfDDlU5AFkAUkEs8K\n+mz7mIfuG0S3bt3o2rUrPj4+2NtYY7SyQkHFNeRPso6rbD2oZ+ai7cx+vBeKotTypyuEEHceRbvK\nXQdGjBjB2bNn2bdvX8U34uXLl2Nra0tgYCBxcXG8+uqrWCwWDhw4gJVV5VGQ3NyKoRhOnTp1A7og\nhBA3x7RlB9lx4iTl5t3o8qIpPKZCbl6lMoqi0KBBA0JCQggNDaVhw4aUW7syf0sSqcVplLsdxM0v\niczDffGy9ufjx9vj62pX5Vp7T6Qze2U0aaZknBrtAzSKYzvRzCuQfz/RvlLZ8vJyjpxK4NXPN3I+\nLQbMR9Gy8yGrHP7nW3r9+vXp0KEDp0p9iClVMAT+jt5gIvdEJzwNvrw+sjUtAlxv+GcnhBB3msaN\nG1e8d3JyqnL+qkaqp0yZwu7du9m1a1elkY0RI0ZUvG/atCmtW7emQYMGrF27lsjIyGuJWwghbrjs\nghIUBZztDJctV1JSwq5du8g9sJHiPbuxlBb996SqQ+9aj+CwVkx86G5CQ0OxtbWt0kaZwYkPfraQ\nntGCfNUWK6ckCvKd2XI4jYe6NaxSvn2IB5HtAlixx0z22buwrXeIMrWQc1kFJGUV4veXRFyn09Ey\nNJAHB/dmyY565ChNoME6jAUNMcf4U18twsWcSnR0NAkJCSQkJACg6A2U+Hji3L4Q7D3JKbBh4ebT\nzB0bgV5X+bn18nILq/5IJLughOEdAnC2l+dkhBDicmqcVE+ePJnly5ezbds2GjRocNmyPj4++Pv7\nX3EkOiIioqaXr7B///5rritubXJv72x1fX9/P3aOyf9eTbGplJB6Hkwb05X2TetVnNc0jd27d7No\n0SKWL19e6a9qqp07Fi9/aJKOVX0jlsS+FNoF0aLT3ZXa+KuICPCvF8CMRVtJyTJQainCWm/Bys75\nkp9BmzZt8F6ykwXr/iAjSYeilaEzqvgHBNMm2KdK+fDw1sRmf8/2o2XkJ3XHqckRzqe7g1NjNn/2\nONZWKr///js///wzP/20mpiYY2iJiWQlAta/Uu4dy/G8LsQXdOb+Xi0qtf3xj3/w9W+nKSkvYX9s\nPp9MGsBdTfyrxAB1f2/FzSX3984l9/bq/PXnQnVqtE71xIkT+e6779i6dWuloe9LSU9PJykpCR+f\nqj8EhBCiLmzYf4bU3DQSC86w6+QRHpr9A+98u5uMjAzmzJlD48aN6dy5MwsWLCA3N5c2bdowZ84c\njhw5yiPTv8ArfBiKcjc+HvY4+sWSU5LJ+z/8ftlrPtC7OV+9eC8t/IPxsvXH0eBC8GV2S1QUhddG\nd2HGmF4EuTXC0+iHp5MT/u4O1ZbX6VTmje9HmF8AduYGZJ5oiaZZKCot4mh8Onq9nk6dOjF79myO\nHTvKy/O/x9C0L7i4QamGJeEEmTs+5+HIHrz+xhucP//fTWdOJ2VRUJZHTmk6p87H8vT89cSnXf4H\nihBC/J1dcaT66aefZunSpfz00084OTmRlpYGgL29PXZ2dhQWFjJjxgyGDRuGj48PsbGxvPLKK3h7\ne3Pvvffe9A4IIURN+Lo5oFet0NvloTrGknDyHDNf/YZXxkRjLruwOYuvry+jR49m9OjRNG3atKLu\nvMAgMvKK2BhlIi26E06Bx8ix5LHvxDmS0vPw83C85HU7NqvH9vfHsv1QPJpFo1ebqlM//kpRFB65\nJ5zh3ZqwKeosHZr64+V66W3IG3g5s+TlexkzZxXHk6woVPJQFR3Wel2Vsq8+NpgtMTkcSW6ByWoT\nDlmJ5PxeRklBFtOnTePNWbMYMWIE48ePx8baCgUFO78zlOa6cea8FU+/v5YfZo7AYH3Vz7gLIcQd\n74oj1Z988gkFBQX06tULX1/fite7774LXJjbd/jwYSIjIwkJCWHcuHGEhYWxe/du7OyqPowjhBB1\nYUjnEDwcXClPLKJow07Kti2l8Ow+zGWlhIV3YN26dSQkJDBnzpxKCTWAva2Bz6YMZGC7Vrjq/ck7\n3QrNolBqLqnR6K1er6NX64b0jgiq8UobDnYG7u0Shrdr9aPUfxXo68L304fzcK/2NPUJZViXZjQN\nqLqetp2NNa882AU3Gy8obY99Z38c7++JQ6cHCW7VkbKyMpYuXUr79u358aOXUDKSKM13xDMsiiLl\nPH+eSWDJxkM1il8IIf5urjjcYLFYLnveaDTyyy+/3LCAhBDiZjjy5z4K9y6gNOYgAIq1Co3c0Xvf\nTYl3S3Tuweh0VUd3L/J0sWfRS5G8891uvt4YTW5xAW4Ojvh7XDnprQ3ebg7M/Wc/ysst6HSXHi8Z\n1DGYNXtCWPOHifSjbXHwjaPYrTFh3Qfy66qv+fe//82CBQuIObQf2I/i7EERVjjWP076STv+s+YA\nI7o3xfEKD3sKIcTfTY3mVAshxK0q8XwuZebyS56PioqiZ8+e9OjRg9iYg+itbdA17ohyzz1ovcrR\n6iVwLjeRFz7bSFZe8WWvZbDW89rormx+72He/+dgfnxjFPW9nC9bp7ZdLqGGC9NLPnymP+2DG+Go\n+JMbF4qGhdKycgICAvjXv/5FfHw8s2fPxmDriJaTzvmvk8lZthdzxn7i01NYuP7PKu2aysp5c8kO\nXvrPJjJzi6q5shBC3NkkqRZC3Lamf7WNbpO+pPkjnzD+/XWczy6sOJecnMzYsWOJiIhg69atODs7\nM2PGDH7bd4gmXR7ExhKKLrM99cMS0TunkZJznvd/2Fuj6/q6OzKiR1MCfG6thLqmjAYrFr0USfem\nTfCxq4+zwZ2Gvv/d0MvR0ZGXXnqJb9f9hnP4ELCxoyytFO2PnZzfMJ+33v8PxabSSm1++1ss//55\nFws37KLfC0s5kZhZ290SQog6JU+bCCFuW+v2nCSlMAGLVs53OzPYcyyR6aM7c2j7KmbPnk1RURFW\nVlZMmDCBV199tWIn2Hn/VBk/fy1nMstJP26Dk/8ZsmI8Wbkjhhfu74S97Z2/JrOTvZHvpt/HpgNn\nOZeexwO9mlcpM6RrM9r2HMaeeo2w5K6lKOok5GeSvutLmjTfw/tz5zB48GAA4s8XUlCaR3F5AaXp\nJTz53hrWzn4QW9kGXQjxNyEj1UKI25aXqz06RY+t3ymKjKc5FrOd4YN6MXXqVIqKirj33ns5duwY\nc+fOrUio4cIW5O880Zcgt4aoOY3JOt0ci2Ymt7iA4wnpddij2qUoCn0ighh3d3i1K3ooisJz93fE\n1dYbs0sPnB8PwKZzUxSjA3GnjxMZGUlERAQ7d+5Er154ANMxIIYSqxRiziXyyueba7tLQghRZ2Sk\nWghx2xraJYw/zyaQkeKOIXU1Rb9fWInDysGDf737AZP+MeqSdQd2DKGBtzPP/nsDRxMcKdYXYK2z\nkuXi/kfftkF0DAtgY3QexckdcOp4FpweoYEpi5yjG4mKiiIqKgqvekFQrx1lbna4hxzkfLQ9q3fH\n8I8BrWmAfK9TAAAgAElEQVQaWHUlEiGEuNPISLUQ4rY1pm8LvLQ8yjb8RP7vuaCC0jQIq24P8dXv\nuZw+l3XZ+s0berF29gPMfWIAY3t1Ye6T/Wne0KuWor99vD++P0Ge9dEV+5MbH4xFBbugzpw5c4Z5\n8+bh6upKWuIZ8nZ/Q/6qPZQnpaE4nyHHlHXFDXKEEOJOIUm1EOK2VFZWxsyZM4j+4W204jwUJy90\ng9qg9czBZHOOk6lxTF24BU3TLtuOlZWOUb2a897T/bi3S1gtRX978XK155MpA6jvUg9DqR/WqhFX\nBxtsbW2ZNGkSP/30E0+Pfwa90R4tK52UhSmUbtxCfuphtkSdJuF81bW8s/OLeWXBZqZ8/CtZebJa\niBDi9idJtRDithMbG0vXrl2ZNWsWmqZx70OPU7//s1hpXdHnN6V+86OU6/PZfSyOTQfO1nW4d4TW\njX34bupw+rZsRTP/xjw1JKLinNFoZOzDY3jm7W+wCu0B1lZoKSWY9/xE3K/zmDHvyyrtzVuxly83\n7mXp1r0MfHkZSRl5tdkdIYS44SSpFkLcVjZu3EibNm3Yu3cv/v7+bNmyhZVLPmPG2D542/mjpLcm\n41QzjC7nyS3J5ocdMXUd8h2jaaAn300fzu6PHq12VP/RQe2oFz4Iq96PoOvogmLUYclK5Ms5k+ne\nvTvbt2+vKBsTl05BaR45pRmcSI1nwvz1V9xsTAghbmWSVAshbjlZecVM+fhXJn30C6t2xmCxaGia\nxty5c+nfvz/Z2dkMGDCA6OhounfvDsDY/q2Y/VhfQjwbY10YginTF4tmrrR2tbi5mgZ60q1lQ+wN\n7lg16kSDl+qjC2uLamXD9u3b6d69O7169eK3335DURVAw6nhEQq0dP44EcfCdQfrugtCCHHN5DF3\nIcQtZ9aSHXyzdR8llmJ++O0QX6z5A+XkGn7+6QcAXnvtNWbOnImqVh4XGNmzGR2b+vP64h3sPpqI\nxWJhqMyTrlVPR7ZlW/RZirKDKDVlYIxogF1wP7o6Z7Hxx6/ZsmULW7ZsoX5oa/BshlZPj3PgUTJP\n2/LZmv2M7ttCVmARQtyW5DuXEOKWU1ZuwVRejEnNoKjwHL988SHlWeewtbVjyZLFDB069JJ163s5\n8/nzgyktKye3wISHi10tRi7ahPjyUO9WfL6+mMyTLbCyz6Vcp3JX/wdY8P6bzJs3j3nz5pFwPAqO\nR1F8xgvve60oNwSSlO3O8m1HGd23ZbVtJ2fkYS633HJbwwshBMj0DyHELah9mB92Vg5oxflov39H\nedY5MNrj3XsCfqF31agNayudJNR15NWHutA2OBAHzYeSbE90ih5XR1ucnZ2ZOXMmcXFxPP70JBS9\ngfKkNJI+Ood572py0mL4dsvRattctvkwXSd9Sb8XlrBkQ3Qt90gIIa5MkmohxC3nvm5NqGdTTtnW\nNZSll2DlZY3Srx3nlXKemrf2iutPi7plsNbz2bOD6N2qGT629fFxdqdjU/+K866urnz20Ty6Pv4e\nuqC7QK9iScyheMcSNi+axY/rt1Rpc82ek5wvTCE+J47pX22RVV2EELccSaqFELec4zFHifnpXTRT\nAbj6YunVGq3+QYoMZzieGssLn2284vrTom55u9qz9NWhfPPaCH55ezRhDTyqlInsHo5Ds7vRDxgE\nrY2g01GSGsO99/QiMjKSgwf/++BiSkY+ZkspqmMK6UWpvLF4B6aSstrskhBCXJYk1UKIW0p0dDS9\nevUiLzeb5hGdqddzPFb57S+sP93iKOVWOew/lcC630/XdajiCnQ6lU7N6uPtZl/t+dH9WuLj7IHO\nEoBtlwZ4PN4aq6AIdHprfvrpJ8LDwxk6dCiHDh3C1miNouhw9IvFbJXJyeRk/v3T/lrukRBCXJok\n1UKIW0Z0dDQ9e/YkMzOTgQMH8sfOjUy5vwdetv4o6eFknGyJ0SWN3JIsVmyvfu6tuH24OdrSp01D\n7K2csKS3wsbLhNq0M81HvcnkyZMxGo2sWrWKli1bcmzdRyh5WZhLrXEOPE5uaSYrth/DbC6v624I\nIQQgSbUQ4hZx4sQJevXqRVZWFoMGDWLFihUYjUYm3deeqWN60ti9Edb5wZjSG2DRLGTmFtd1yOIG\neO7+jvg4eaEU+FGc44YFM3nlVrw5+23Onj3LxIkTMRgMxB3eQ+HWheT8eBorcyJlai6JGZlsjoqt\n6y4IIQQgSbUQopYVFpfy58kUMnOLKo4lJyfTr18/MjMzufvuu/n+++8xGAwV5x+9J5w1bz3IsI5t\nCXEPoZ5zfR7uV/2ya+L2Us/Ticn3tcfN6EXumeagKaiKgqaBj48P77//PmfPnmXEg+NA1VEWm0zi\n+wmUH1xDbuYZVu6sfsfM2JRsnn5/LZM++oXC4tJa7pUQ4u/oiutUz549m1WrVnHixAkMBgPt27dn\n9uzZNG3atFK5GTNmsGDBArKzs2nXrh0ff/wxTZo0uWmBCyFuP0UmM0Ne+5ZTSeex1lvTNyKIiUNa\nMeLeAcTHx9OuXbsqCfVFDX1d+M9zg7BYNEylZdgareugB+JmGNu/FYfOnmflToVicyGB3i7YGq0q\nzvv6+vLtki84TiiHf/saLfEwWtx58uP+w5KT+3i6b0NaNK/8M2ne93v5/rcDKCicTspi5ev3Y22l\nq+2uCSH+Rq44Ur1jxw7Gjx/Pnj172Lp1K3q9nt69e5OTk1NR5u2332bevHl8/PHH7N+/H09PT/r0\n6UNhoWwPLIT4r7Pn8zl5Lo2UongS8k/z7fY9tO7Uk+joaEJCQvj555+xs7v82tKqqkhCfYdRVZV5\nT/dj1iN9Gde3Ex9NvKdKGUVR6Nc5HJc2Q3AY0Ru1pQ0oKsWJfxLeqgWjR4/m5MmTFeWjz6RSUJZL\ndul5ok7H8f6KvbXZJSHE39AVk+r169czZswYmjRpQtOmTVmyZAnp6ens2rWroswHH3zAyy+/TGRk\nJE2aNGHRokXk5+fzzTff3NTghRC3Fw9HI1Y6KxRFwa3JH+Qd+47ClJPobBx59V//wd3dva5DFHVE\nURTG9GvJv57oQ3A9t2rLjOrVHAdrJ0pMQTgP8MBheG+MAW1AUVi6dClhYWE8/PDDnD59mtKycixY\ncG54lOzSDJZuOkRGjgz0CCFunqueU52Xl4fFYsHFxQWA2NhYUlNT6dOnT0UZo9FI165d2b17942L\nVAhx2/NytqFLiwDsdE5k7SjDfPI0qCr6toOYvfIQB04k13WI4hYW3tibJg28MeCElh2GtQcYw/vz\n2Mwveeyxx1BVlcWLFxMaGkr8jsVQmIfBPg+dQxqpuel8slqW4BNC3DyKdpU7KIwYMYKzZ8+yb98+\nFEVhz549dO7cmfj4ePz9/7tj1qOPPkpycjLr16+vVD83N7fi/alTp64zfCHE7SY2LZ9n3l1B2rZP\nQbNAbztU9+7o8kII82zAJ4+3k7mv4pIOnMlk5vIoMsznsPE6hTmlJb3DQpk6oiXnzp3jyy+/ZO3a\ntZSXl4OiYGjihm17L4rS+tDEI5BPn2yPqsoz+kKIq9e4ceOK905OTlXOX9V3lilTprB7925++OEH\nFEW5/uiEEH87ztZmCg8sA82CGtgKnW8EPqGHUGwzSM7J5sc/Eus6RHELaxPkRvvGXtjjSmFKMKqi\nw6C/8EuYv78/U6dOZcWKFTQK7wJAydEMsr88Ssmh9SQmJXIiOa/adpMyC3lmwe+M+eA39p3OqLX+\nCCHuHFdc/eOiyZMns3z5crZt20aDBg0qjnt7e6NpGmlpaZVGqtPS0vD29r5smxEREVcd8P79+6+5\nrri1yb29s+3fvx9N0/jggw8oyMumUZNwzM1HkZSZTC5e2HumUpzkyaEkE/+Sr4HbSm3/210Y2oz7\nZ67gUHw8Vqo1A7uFExHx3yUWIyIiMPo24+EZn5IZ8yPl8Wcg4QQZiaeYX3aCH776iPr161dqc/M3\nv3E2M5NCcwHz1+tZPr01zRt61kp/bnXyvfnOJff26vx1tkV1ajRSPXHiRL777ju2bt1aaegbIDAw\nEG9vbzZu3FhxzGQysXPnTjp16nQNIQsh7lTfffcda9euxcXFhS2//MSsR/vRyC0I6/wQChLDsGgW\ncgpMdR2muMU52xv58Y37eXZYD2Y/2o+H+jSvUqZL8/q4eARA03uwGu0LQc6gaezfuoZGjRrxz3/+\nk3PnzlWUP3gmjSJzIaWWYlLzUpnzzc5a7JEQ4k5wxaT66aef5quvvuKbb77BycmJtLQ00tLSKi2X\nN2nSJN5++21WrVrFkSNHGDt2LA4ODowaNeqmBi+EuH2cPHmS+fPnA/D5559Tr149HuzTgnVvP8T9\nXdrR2C0Yf8cAxt0dXseRituBjdGK5+7vyIN9WlQ7R9rOxpq2Ib7YWdnh5BSGYbA9Vt0fwCGgDWaz\nmU8++YSgoCDGjx9PUlIS5eUWNDRcGh2mSMth19F4eXBWCHFVrjj945NPPkFRFHr16lXp+PTp05k2\nbRoAL7zwAiaTifHjx1ds/rJhw4YrrjcrhPh7KCsrY8aMGZSVlfH4448zdOjQinMB3s78e/IANE2j\npKwco3WNZ6UJcVl339WYzX8eJyfdF/vGxylwN+LiNZKl/3mfb774iOXLl/Pxxx/z+eef07BNb7Bv\ngKKWY+ORSF6mM5+vjaJNiG9dd0MIcZu44ki1xWKhvLy8yutiQn3RtGnTSEpKoqioiK1bt8puikL8\njRWZysgrMHFxcaG5c+dy6tQpfH19ee+996qtoyiKJNTihhrUMRgvJ1cocseqpD46KxNmixl7N1++\n/fZbDh8+zPDhwykpKSFm91oKN/2H3E3x2DmcochcyN6Yc5SVlV+yfU3TuMoFtIQQdzD5CSaEuKGO\nnD3Pw3NWkVNQjJ+HE5Gt3Zk5cyYAr7zyivwFS9QaB1vDhQ1llmeSExeCzroES1k5eUWlADRt2pTl\ny5dz+PBhHn5iEn/u2YIpOpGUowo0gDTFnj3HztG1ZYMqbe8/kcz4D9ZhKjXzyeSBdGjqX6WMEOLv\nRRbrFELcUMu2HCY+M4nEgjMciDvKy89PpKSkhLvvGUC7du3qOjzxN/PEoAiCvH2wKvGiNNcNK501\nns6Vf7Fr3rw5C75cglffSai+DdDMGtqZo6SsncPLL73A+fPnq7T79aZDnEpN4ExGLE/N+5nUrILa\n6pIQ4hYlSbUQ4oZysDWgKCpGtxTUknWUpseiWNtR4NeTksv8KV2Im8HWaMW7T/UlyCMAV4MXHo6O\ntAvzq1KuVSNvPPwao4QPxmqUD9RzhHIzu39ZTmBgIC+88ALp6ekV5Y/EpmMqL6LEUkRSdiof/LC3\nNrslhLgFSVIthLih7uvaBEeDM6bzHhTvPg2AFtaGY+dzefeno1gsljqOUPzdtGviz3fThjP1wb78\n8PoIdLqqP/p0OpXWjX0urBbiGYphqCv6LiNxqNeMoqIi3nnnHQIDA3n55ZfJzMyktMyMBQsujQ6T\nb85l7d5T5BeV1EHvhBC3CkmqhRA3VCN/Vwa0C8E69gTl+WUonlZwVxJZ5vNsPJTIj7+dqOsQxd9Q\ncD03no68iwBvl0uW6d4qEBu9HcUZ3tg7lqG6ueDW6RHWbdjKPffcQ2FhIXPmzCEgIICEvaug1IS1\nXR6qXQbpeVks23ykFnskhLjVSFIthLjh/nl3MMWndgFg1aQ3BjszjvWOU67L5z9rDsiKCeKWNKhD\nMC62zpjzPLHBA1VfikUrp0FwU9auXcvevXvp378/BQUFxP2xBtOmL8jZkoqtUyyFZfnsOBR/ybZN\nJWZ+3BnD4bNptdgjIURtkqRaCHHDffTBPCzmUjwaR+Dg2hbz2f5oFh1lmDh5Lp3z2YVXbkSIWubu\nbMvADiHYWzmRk9AIRS3Holko+P/VQtq1a8f69evZvXs3/sHhYC6lYHcKmQv3UBSzlYMxsZjN1U9v\neuK9nxn/0WoemPUDf55Kqc1uCSFqiSTVQogb6vz583zxxRcArFz0CT2aNcXXJghzSmusMKDT6VAU\npY6jFKJ64+9ti7udO+Zsf8zF9uhUPa4ONpXKdOjQgWff/DdO3R5B5+sBpRbKT/7BseWv8c/Jz5Ob\nm1upfF5hCXtjEkkvTiYhK5EXPtuE2SwP7Qpxp5GkWghxQ3344YeYTCYGDRpE5w4RLJ8xnA+fGUyX\noEa08gvitdFd8XSRtarFramBlzMTh7XH09YPe70z9TxcaOTvWqVcy4Ze4BCA1q4fDHMAT3e0MhML\nPnqPgIAAZs2aRV5eHgBnkrMoLi1GMRRSosvieEIKv+w7U9tdE0LcZLL5ixDihsnPz+ejjz4C4MUX\nXwQu7JQ4pFMIfoZ8ACIiWtVZfELUxFND2mKt17HveDKj+7aotky7Jv74uLpQnO2K0sgZ+xGhlER7\n4pxyiHOnDzN16lTmzZvHs88+S7ve96KhoVqZsHHOIj/FjRXbjzGwQ3At90wIcTPJSLUQ4oZZsGAB\nOTk5dO7cmU6dOtV1OEJcs0cHtObTZwfSqXn9as/bGq0Iq++BtWrAqswXa7t8NFdf2o58lS1bttCl\nSxeysrJ49dVXGdavE3kx29DKzDh4naO4vJA9RxPJyJVnC4S4k0hSLYS4ZtsOxvHcJxuY9/0ezqVl\n89577wH/HaUW4k7WsVk9bPT2kBuAojOjaRZMpWZ69OjB9u3b2bRpE506dSI3J5u8Q79gWvMjBX8k\noxoyKDAV8PuxpEu2vXzrEUbM+J4FPx+oxR4JIa6HJNVCiGsSm5zNk++tYeHGncz5biMdh08kKSmJ\nZs2acc8999R1eELcdKP7tsDF1oXSHC/KS4xoaJT+/wOIiqLQq1cvdu7cyeo1azG4B0BJCZnrMjH9\nvILs41vYczi22naLS8p4c+lOfj0UxexlO9h84Gwt9koIca0kqRZCXJOE87kUlBRRYM6hwHCcc3/+\nDEDrXvehqvKtRdz5vFzs6RXeEHu9I9lnm6KgYKXXVSqjKAqDBt5Dq/tewap9JNZ+NmAqpfjIJuZO\nuZ/33nuPoqKiSnW2/BlLRn4uxeYC0otSmbNsl6ztLsRtQH7yCSGuSUg9d4x6I4qiYGfZhVaQDTYO\nbE+xZdXOmLoOT4haMWV4ezzsPdGX22PQ2dA0wKPacgE+LqhuQVjuCYW7vcDJk5LCXJ599lmCgoL4\n4IMPKC4uBuBceh5l5aUYXVMpVbM5lXSeP0+l1ma3hBDXQJJqIcQ18Xazp2uLAGxVBzI3XVjZQ23h\nRbopjWlfbiU5I7+OIxTi5mvk78bcJ/vi59iAei6+DO/WpNpyLYO8sDfYYa/4YmiioO86HO9u/6Bl\nq3BSU1OZNGkSQUFBfPjhhxQVFl1YLURvxsY9mYLSXH7YcayWeyaEuFqSVAshrtnzIzviXFyAJSMb\nDFZYwjMxGeKJPZ/MgrXygJX4exjYMYT9nz7O3o8fo10T/2rLtAvzw6i3oSTPFQc7HXqDCSuvxixY\ntoaffvqJ8PBwUlJSmDBhAjOfvo/iM7+jWczYeiRTZC5ke/Slt0AHiE3J5uMf/+CgjGgLUWckqRZC\nXLOwBh44Z11InvUBEegK7sIjIAWLrpgtUXF1G5wQtcjRzoCN0eqS5+8K9cfBaE95oQs2qguK7sIW\n6OZyC4MHD+bAgQOsWrWKli1bkpuVTmH0evK/20zZ0UTMlgJSs/LIzi+utm1N03h49o+88fUGHpu7\nmpRM+SuREHVBkmohxDX7/fffObhvF0YbW/yaDcAquwVZx8PR0Cgrl22YhbjI3tb6wnQpvT0FaX7A\nhQcPyy0X/qsoCpGRkURFRfHq7A/RO3mjFRWT8WMGZVuWknliB/tjEqpt+4+YJOLPZ5JVkkZcRhKz\nluysrW4JIf6iRkn1zp07GTJkCP7+/qiqyuLFiyudHzduHKqqVnp17NjxpgQshLh1vPHGGwBMmjiB\n72eNpU+LcPztG+JjV4/ITqF1HJ0Qt5YHejfH0dqZorQGlJcaURUVW0Pl0W1VVXlw1P349J2Cvm0f\nrLysoaiInAOrGDmwOwsWLKCsrKxSncOx5zGZi9Db5VJQlsvWP2PJLTDVZteEENQwqS4oKKB58+bM\nnz8fW1vbasv06dOHtLQ0UlNTSU1NZd26dTc0UCHEreXAgQOsXbsWW1tbpkyZQttQP1a/NYqdHzzK\n5nfH8sIo2VFRiL/q2qI+zQL8sNHcUcxGHG1taeTnWqWcv4cjjra2aJ6hKCO9oWtjsHcjKz2Vxx9/\nnODgYL744ouK5DqnwES5Vo7BKQudXRY5RXn8uv9MbXdPiL+9GiXVd999N7NmzWLo0KEoilJtGYPB\ngIeHB56ennh6euLs7HxDAxVC3FpmzJgBwFNPPYWHx3+XEfPzcCTQx6WOohLi1qUoCh9O6E+ge328\nbP3p1jIQRztDlXL2NtY08HbGoDPgbvTDqoktdj3H0f6+iYSGhhIXF8djjz1GaGgoX375JUXFJjQ0\nFMWC0S2NInM+G/dffsMYTdPYdzyJU+cyb1Z3hfjbuWFzqn/77Te8vLwICQnh8ccfJz09/UY1LYS4\nxWzdupWff/4ZOzs7nn/++boOR4jbRkNfV1bPGsW3U+/nwwn9qy2jKAqN/FyxUq0pyXfC1q4MCxbs\n6rXmyJEjLF26lODgYM6ePcsjjzzC3Mn3U3xiF5bSUuxcMiixmDiekHHZOD744XeGz/yWga98Q/Rp\nWTFEiBtB0a5ymyYHBwc+/vhjxowZU3Fs+fLl2NraEhgYSFxcHK+++ioWi4UDBw5gZVV5vlhubm7F\n+1OnTl1n+EKImy2/qIy3Vx3hXGYRDTzsGNM9kOnPP82JEyd48sknefTRR+s6RCHuOD/vT+Sj9dEU\nGs/g2PAAuUf60dw7iE+eaA+A2Wxmw4YNLFq0iLNn/39UWq/DrrUtRXaR+Lk2Y+mkLthVsyKJpmk8\n8eleYs7HolesaOUfwHvjIi75l2ghxAWNGzeueO/k5FTlvP5GXGTEiBEV75s2bUrr1q1p0KABa9eu\nJTIy8kZcQghRR9ZFnWN/bBL55dkk5Niwd+dGsk6cwNPTkwcffLCuwxPijtQh2JPFW+3IK3LBXOwI\ngPqXnFev13PPPfdw991389m361i8ZDFl6Wcp/CMfWEq6bxPWt1AZdne3KslybmEpaTlFmCnFrJg4\nnZrNyeQ8QvyqJglCiJq7IUn1//Lx8cHf3/+KI9ERERFX3fb+/fuvua64tcm9vTX9fLgATbVg7ZiG\nphWStWErAI8+8yKdO3eucTtyf+9ccm9vjm770lm1J4filDD0Oj0+nu7VfsaKgx8bkmxIztiJlrIJ\nS0wJJclHeXv686z+Nownn3ySMWPGVDzrFH0mDZ3VbvS6IqwdcjDneJJYaODBS9y/i/c3tsCG/SeS\nGdO3JU0DPW9ex0WtkX+7V+evsy2qc1PWqU5PTycpKQkfH5+b0bwQoha1DvbBqLfFbLJDPbsTSgpR\nnX3YeM6OrLzqN6MQQly/h3q3wMnoQnmxEwadkcbVrBQCEFLPDSudAdWuAQFj/FEju2ET2hVHF3di\nYmKYOHEivr6+PProo+zdu5fC4hIsmgVFZ8bGNZ3i8iJ2H028bCzJWYW8tGAjCzfsZsq/N2A2W25G\nl4W4rdUoqS4sLCQ6OpqDBw9isVhISEggOjqaxMRECgsLef7559m7dy/x8fFs27aNIUOG4O3tzb33\n3nuz4xdC3GR9Ixri6+qKOamIvN25oIIW0ZKYpHO8v2JvXYcnxB2rR3ggD/RshafRFyeDGyN6NK22\nnIOdAU8nO3RYUVZki9FNxRjWhSfeXMKKFSvo1asXxcXFLFy4kA4dOjBiQDfyjm5CK87D1jmDUouJ\nEwkZFJvKqm0fYPOhVPJLcskty+BI/Dm+3XLkZnVbiNtWjZLq/fv3Ex4eTps2bTCZTEyfPp3WrVsz\nffp0dDodhw8fJjIykpCQEMaNG0dYWBi7d+/Gzs7uZscvhLjJjAYrnhvRDuXoNgDUlh74tM3Eohax\nKeryy3YJIa6dqipMHdON+c8M4vsZI2gb6nfJsgHezugVa0oKHLGzA4tmoajUwrBhw9i0aRMnTpzg\nueeew9vbm6SEOPKPbsL000+kLoxHSz5IUWE2Z1KyL9l+QnohJeUm9Lb55JflsO6PKy80kJ5dyLBp\n39H72cUciT1/TZ+BELeTGs2p7tatGxbLpf/U88svv9ywgIQQt56YHasoy01FZ+eK5jWMosxEzFop\n57MLKDKVYVvNCgNCiOtna7Ti3i5hVyx3V5gfmw8dozjLE2uHXEDBWq+rOB8cHMw777zD7NmzWfzt\nKp55dTZF5w5RfLYY2Mm5qF2MSd7E0/94mMjISNzc3Cq1n1dcRrlWjr13PLlnnTh0Jo2ysnKsrHRc\nyrItR9gdc5oSSzFTFxpY+fqIGq8wYjaXo/+/9u48Pqr63v/468w+k0yG7AnZCJiEAEJBFBEqAkLh\nCoXWn7sCUqu9FnFpy61tsaViKbfea0tV6tIWad24t1a0QhULsgioiCDITgIhQFbIMklmksyc3x9o\nNBeIYAJZeD8fj3kYzvmecz4nnxnzyTff8/3aTn9ukY7onIypFpGuY8OGDcydOxfDMPj2Hf9Bercs\nzJL+eKxeor0eFdQiHcDEK3KIcEQSrEjEbLRjMZoX1Z+x2WzccO0kkoZPxfaNacRfGw9JsWCafPTe\nWu644w4SExMZO3YsCxcupKCgAIBAQwjTDOOI8GNx+ams9bNxZ2GLMa38KB9/w4ml0zfvO8Sm3Ue+\n9D5M0+Su/3qdgXc+xaMvr/9q3wyRdnJOZv8Qka6hqqqKW265hVAoxKxZs5g/fxYrN+fx0spPqK4L\nMvNbQ9o7RBEBLkqJISslntK9RVQXXoTPbiPW5z5l2wi3A6/biVnpoSrNDVdnYD3cn2xrLWmWw/zr\nX/9ixYoVrFixAoBevXpRE5FJozcGjEYcUeUEjtfx4Z6jfL1/ximvYZomR8qraQg34OxWSk1NDP98\nfyMpb3MAACAASURBVF+LQ1gAtuWV8OYHeyipO8yzb4S4bkQfMpK0QrN0DiqqReS07rnnHvLz8xk0\naBAPP/wwAKMG9WTUoJ7tHJmI/F9TxvZn56GjFNcW4rFHMqxf+mnbJsdGsrfUQTd3IiXOBjw+L1d+\nfRx/eGAC5eXlvPbaa7z++uusWLGC/fv3A/sBOPKhFXv3wzRE1rFlazLmtUNOOaSjMRSmpq4ekxCe\n+CPUVKWzee/RL72Hf76/j5oGP41mA+W15Sz65xZ+Pu2qr/otETmvNPxDRNi6r4gfP/02j//9fapq\nggA8++yzLF68GLfbzfPPP4/D4WjnKEWkJbdc3Z9RA7JIjcykb0Yyl/c5fa9warwPm8VOQ50Ht6eR\nsBmiojoAQGxsLLfffjuvvPIKZWVlPPHEE6QPHI0REY0ZCFGfV0rdx2/x3Ny7SEpK4oYbbmDhwoVs\n3bqVxsZGAOobQgTqGzExcceU0hAOsqugjGB9Y4v3cKi0ioZwEIevnLrGGtbvaHmIiUhHop5qkQtc\nRXUdN879X0qqS7BbHPzlrY/5zvB47vn+9wF48skn6d27dztHKSJfxjAM/jRrEgdLKslI8GGxnL7f\nLCslBofVSbC6GxExDfgBTvEModPp5LLLLmNQgYuKjEuxRa+k8uBB2B2NraKIkpISlixZwpIlSwCI\niIhg8ODBXDxgENWHKiCiEZu9AYurmtpgHbsPldO/V+Jp46qqCRA2w3hii6ioiiX/yDFq6uqJcOuX\neun4VFSLXODe33WYqjo/frMEq62W7flFzFj8PA319cyYMYNp06a1d4gicoasVgs9k6O/tN3oQZk8\nsTSS6op4XL5jGFhwO05fEkRHOGlogNqwh1COA8N5NfGRmbz98DWsWrWKtWvXsnHjRvLy8li9ejWr\nV69uOjZ/rQWiqin37uHPi8JM+fZYcnNzcblcJ13HX9dA2AxjcwWweSqpbajjg12HuWpg5lf7hoic\nRyqqRS5wcT4PNsOKYQmR2OddDv6+ErO2gpjUHB599NH2Dk9EzoFB2cnE+6IoKYokUBGLxbC02Buc\n4HMR6XITtEYTdIcI2wy8HifZ2dnk5OTwve99DzixovJ7773Hu++uZ8Giv1FbfpBwbRBqS6gpKuG3\nc9/lt3N/jGEYpKWlkZ2dTXZ2NllZWWRnZ1Ny+ADhhjos1kbskZUEjwfYll+iolo6BRXVIhe4Ab2S\niI068cO16PlKzNJycEXgHHgd/9i4n2tH9GnvEEWkjRmGwYgBGeSXFVJdmorP7iAlznva9snRLmwW\nO7VBN5ERBlVGmGB9A7WBhmbFeHx8PBMmTOCaa67h7eM9+PjwDuKzlnP0YweOo3H0jDBprDzK/v37\nKSgooKCggLfffvuk6x1ZacUS4aLWtp0/lbxH0YcDiY2NJS4urukVGxuL1+vF6/XicrnOeA5skXNF\nRbXIBc5qtTB9/Nf4wQ+foz6vHBwG1rE5HA/Vs/KjfBXVIl3Uv0+6lGXv7SFQWUeEI4oJQ7NP27ZH\nQiQOq5OGmiiSIt1UARjGaQtZwzDwRbgwTYPSeivh1Aga7IOJz+7LO7+bRkNDA/n5+ezZs4e9e/c2\n/ff9LTuoPl6KGWwkFKwB8thSkseWtctbvBeLxcLcuXN58MEHv/o3RKSVVFSLCMG89dTnbQDDAoPH\nEBnvprE0zKHSqvYOTUTOkYtSYvjRjcP507KPGNonlYt7nv4BwpTYCLrH+ig+5CZQ2Q1MCw6brcXF\nn+J9Hpw2BxHuWMrrA7hdVrJSYwCw2+1NQz++6LuPvsZLa9fj6r6OimNHsR4cQE50NP/vih6Ul5dT\nVlbW9CovL8fv9+P3+wkEApqhSNqdimqRC9zTTz/ND3/4AAB9x99JgZFAY2ktHpv3jB54EpHOa/r4\ngUwfP/CM2g68KIkdR/KoKU3+0gcbARJjIrEaNkIBN25XLaYZprquvsVjfB4noRBUBKw0xpiEq9Oo\njbmI2bPvafG4xsZGwuHwGd2HyLmieapFLmB//OMfueuuuwB47LHH+OCVBfz4xtFcffEljB98MT+8\nfmg7RygiHcXoQT2JsEVSU5SBzbAR5/O02D41Pgq7xU59beQZT4mXFOvF43QSae+G02lit1uIizr1\nypBfZLPZ1FMt7U491SIXgHDYxGJpPvZx0aJFfPe73wXg0Ucf5b777gPgJ7deed7jE5GOb/xlF5Ee\nn0Dl4eO4rG6G5La85PiQ3FRcNg/+qhhc3UoxDAsRLQwXAUiMjsBq2AnWu4iIA78ZpjbY0Ja3IXLO\nqKdapIt77H82MOTuZ7n6B4t54e1tmKbJwoULmT59OqZpMn/+fH7wgx+0d5gi0sG5XXZ+dtuVJEem\nkhqdzK1j+rfY/pLsZHyeSMLBCBpqorAYVrweZ4vHpMR5sVtODBnxee2YmDQ0aliHdA7qqRbpwvKO\nHOPxV9/jiL8AK1Z2P1PE079/lNWvLQbg17/+NbNmzWrnKEWks7jm8ixG9M/AYjFafEgRwOOy0y8z\ngYLjBfiP9iTKZiM5JrLFY/r3SsJldxPyewkFXVgMy5deR6SjUFEt0oV9nFdCXUMthrscV9xhDr9e\nRGHBJ1gsFp566inuuOOO9g5RRDqZSM+Zj13+tyFZrN2+j0CgBrc9gktyurfYPs7nITMpmqP7nNRW\nxGHw5UNGRDoKDf8Q6cJS46OwWeyEAiZ1KzdgFnwCFhsDJ9/L9OnT2zs8Eenibhrdj/6ZqcS7upMS\nE8OoM1gZsW9mAg6Li9qS7lgNK77Ik5czF+mI1FMt0oX175lIrK2BQ/96g3p/LTgNGDSevIZ4Csuq\nSU/wtXeIItKF2W1WnnpgIqu3HuSqr2Wc9MD0qYwamMn/rt1KjT+aCJtD/5+STkNFtUgXtvqdlexd\nOh/8VRjeaKwT47E3xuLBwsGiCv2wEpFzLj3Rx21jW36o8YvGX3YRvVOT8edVEunwMWFo1jmMTqTt\nnNHwj7Vr1zJp0iRSU1OxWCwsXrz4pDa/+MUvSElJwePxMHLkSHbs2NHmwYrImQmFQsyZM4dx48ZR\n468iLfdSEkffA5XjCNf5cNlc9OyuhV1EpOOx26389NYrubRXLuMu6c3Vl/Rq75BEzsgZ9VT7/X4u\nvvhipk6dypQpU07aP3/+fB577DGee+45srOzmTNnDmPGjGHPnj1ERES0edAirbVzZ4CDB0+/PyMD\ncnM75zi+Q4cOceutt7JmzRoMw2D27NnMnv0Q//U/G3lp5XaCDSGmjRtASlxUe4cqInJKIwf2YOTA\nHu0dhshZOaOievz48YwfPx6AqVOnnrT/d7/7HQ8++CCTJ08G4LnnniMhIYEXXnihaXEJkY7k4EEY\nP/70RfPy5QFyc89jQF9B/tHjPPX6hzhsVm4Z05+ctFj+/ve/c8cdd3Ds2DGSkpL461//yujRowH4\n8c3D+fHNw2loDGG3Wds5ehERka6l1WOq8/PzKSoqYsyYMU3bXC4XV155JevXr1dRLXIO1AUauOnh\nv7Gv+BAAL/xzA0nl63h35XLgxC/CixYtIiEh4aRjVVCLiIi0vVYX1UVFRRiGQWJiYrPtiYmJHDly\npMVjN23a9JWv25pjpWM7H7mtrs4ATt9TXV1dzaZN2895HF/V2h3F5B09QqVxCEvJVsrf38H+hgBO\nl4sZ3/8+119/PQUFBRQUFLR3qCfRZ7frUm67NuW361Juz0xWVssPzWr2D5FOqL4hTH1VMeGdy2g8\nWgyALS6T66bfx43XXdHO0YmIiFx4Wl1UJyUlYZomxcXFpKamNm0vLi4mKSmpxWMHDx581tf77Lep\nr3KsdGznM7dlZYEW93u93g77Hjt+/Di/X/gMlaueBTMMTgtc2p1QxDfZWmbvsHHrs9t1Kbddm/Lb\ndSm3Z6eysrLF/a1eUTEzM5OkpCRWrFjRtC0QCLB27VqGDRvW2tOLyKcCgQC/+93vyMrKYvGfnsYA\nnJmDcI27DmuPvkS4HGSnxrZ3mCIiIhekM+qprqmpYd++fZimSTgcpqCggK1btxITE0NaWhr33Xcf\n8+bNIycnh6ysLObOnYvX6+Wmm2461/GLdEmhUBir9cTvvMFgkGeffZZf/epXTc8pjBw5kh/+5Jc8\n/Mou9hUXUnWsGl9EDCMGZLRn2CIiIhesMyqqN23axMiRIzGME8uL/vznP+fnP/85U6dO5U9/+hOz\nZs0iEAgwY8YMjh8/zpAhQ3jrrbc0R7V0WBkZJ6bNa2n/+WaaJo+/+gEvvr2N+sYQ1w7rRWTlTn7z\nm//k0KETs3wMGDCAX/7yl0ycOBHDMBg4cAD/vWQD+48c55Kc7tw1UX/CExERaQ9nVFSPGDGCcDjc\nYpuHHnqIhx56qE2CEjnXcnNdHW4e6nXbCvivJWspLt9Nfd5mNi/agVlfB0C/fv2YM2cOkydPxmL5\nfNRWcqyX3/z72PYKWURERD6l2T9EOoBQKMTTzy3h6LpF1B/eCaYJgDs+k6f++xFuufmGZsW0iIiI\ndCwqqkXa0d69e1m0aBGLFy+msLDwxEbDgCwHdB+Fw3sFyblDVFCLiIh0cCqqRc6h9dsLeGXtLhpD\nYb7zbwPpl5nAli1bePXVV1m6dClbt25tapuSloHf15va7omYyQUYFT3p5vKQHBvZjncgIiIiZ0JF\ntcg5smn3Eb7zm6UUVR6ltiifxU/8GmflPoqOHm5qExkZybXXXsvtt9/O17/+de5Z8E9e27Cd0rJE\nfK5IctMT6ZMR3453ISIiImdCRbXIOeD3+/nBL3/L/rXLaSjeA/X11H+6LzExkUmTJjF58mRGjRqF\n0+lsOu7xe8cztG8qy9/bS3ZqLDO/PaRp1h0RERHpuFRUS6cTrG/EX1dPbbAB0wSb1UKk24HX42jX\nArS4uJjXX3+dpUuXsmLFCoLB4Oc7fQ6IvZiMnBHk/eM3px0jbRgGt47pz61j+p+nqEVERKQtqKiW\nTqExFOZQSSWFpVWUVdRQV1dHMBjENMNYrTbcHjdRkREkdIugV/dofJGuNo/BXxtk/kvv8tHeIvr2\niOfea4dQc7yYpUuX8uqrr7J+/XrMT2ftAEjOzKXKk0J992gaIzzEWNIZP+wyPXQoIiLSBamolg6v\nsLSKnQdLOXy0mNKyMmqqq3HZLbjsFiwWaAyZ1ARDmBYbsTEx5B9JJi0xmv69EnE52uYtbpomtzzy\nCht27eF48W5W/b2QP8zOp6q0sKmNw+Fg9OjRTJ48mYkTJ2L3RHHjL//GzkOHqa4LkpWexk9u/Xqb\nxCMiIiIdi4pq6bDCYZMt+4rYc7CIgwcPQGOARJ+DrBgvVsvJwzwCDSFKqo6zbVsJJaXJHKuu5ZLs\n7sR3a93KnvX19Ty1+H9Z+fLj+A9vhUAtjZ/u80ZFMXHCBCZPnsy4cePwer3Njl0690b+sWEPFquF\nq/pnEB+tVUZFRES6IhXV0iGFwybv7zrM7rxCtu3cQ3FlgMPHToxRjo9yEOd18LV0L0ndPn/Iz2W3\nkh7rJtnnZH9JCR9XVROsb2Ro33QSTlHMhsMmDY0hHHbrSWOxKysrWb58OUuXLmXZsmVUVVV9vjPS\nArG5eJOH8OGSeWSlJZz2PiLcDm4Y1a+V3w0RERHp6FRUS4e0q6CMvQcO88baLXx4oJKaUA114TpM\n08RWZMNusfPmtkiGZ8UwYWACTvvn45TtNgs5yR4OlQfYtWsXNquVEV/rQaTb0dTm1XW7+M8X36Wi\nJkBuejwLZo7DqPfz2muv8eqrr7Jy5UoaGhqa2uf26UuxNRV/dCz1ET6iXTEMyerdYkEtIiIiFw4V\n1dLhlFbUsONAEW9v3M77eccpbSjBGVeIN6EQi7WRxrpIglXRHClJ461ddewtruV7o9Po5rE3ncMw\nDNLj3OwvriUv/wDRXjdX9EsDYNfBMmY99RaFlQUEK49y8IMi+j37EyqO7m863mKxcOWVVzJp0iQm\nTZpEr169+OMbm/nt3zZypLyKIVlpLLhn3Hn/3oiIiEjHpKJaOpzdh8r54OPdrNlVSnljGZEZO4hK\nzWva74yqICKxkPru+RzbPZC95Y08t9bKjDHpJ421zohzs62wlENF8RxJ6kZitIcFi/6HwvdeJlC0\nDbO6mlqgFnC6XHxj7FgmT57MhAkTiI9vvujKd64ZxG1jB3C4rIoeSd00f7SIiIg0UVEtHUpFTT3H\nqo6zcecRqkNVOOLz8abknbKtI8JP/MXvUbxlGDuO2pn3eiMRDiuJPgfj+scRE+nAZjWI9xiseONV\nnv/DHt5bu5KSkpLPT+IyIC6LiKRLeff5XzEgO73F+Bx2K5nJ0W15yyIiItIFqKiWDqW8OkhxVQ2F\n5QFqQ7Ukpu2jpQ5hq72e2JyPOPpBNCWV9dgcQZwWBx/uLWJoTBn7PtnM5s2bCQQCTcd0T0nDH5lJ\nIDaR+qgYfK4YBvXIoU9mynm4QxEREemKVFRLh1JRU8++Q+UEw/VYPZXYXHVfeow9ohITk1BjIWb1\nBoL5VVSVlbD3CwuxpKRnctnw0fz7d2/n6hFDeeHtbcz96xpKKvzkdI/n8Xv/Dbvdei5vTURERLow\nFdXSYZimSU2ggfJKP2EjhM3t/9L2VQW11H9iEtr8HFSVEP5sp2Fgj+vJt8eNYOzI4QQskVgj48no\nlYNhGNwypj/XXplLRU2AxOhIjY8WERGRVlFRLR1GKGwSCodx2AwsGJjh0/cc1wYbcDtslP+lhHBV\n6MRGqw16WKGnAe7R2IIXk3JxDvHxsRRXBqmtr6cu+Pk0eS6nnSSn/TRXEBERETlzKqqlw/hstIbN\namBgYIZO//asrg1SF2wgnOvAETQg6jLqnX0g5gBG4kbsR6Jxmw4inZ+fw8BQj7SIiIicE5Yvb/Ll\n5syZg8Viafbq3r17W5xaLiB2mwWH3YbDbsNiWAjVO09qUxtsoLyqluqaegC8o3yk39ydhK/XYLV6\noCILc98NGHVxeJ0eenc/sZJiQ8jEbrfj0LhpEREROQfarKe6d+/erF69GvPT7karVcWLnD23w0pK\nXBQeWxlltVE01Hmwu2ub9nucdjyfDtmIjfJQ++lwDpfvONG9tnN896U4TRtJ3VzcNqw7ka4Tb/Hq\nQCPdEyLpFuk6/zf1BTt3Bjh48PT7MzIgN7d9YxQREZGz12ZFtc1mO2mxDJGzFR3hwLQ46BHvprTQ\nTU1xKt167DmpnfvTwtrzhTHRTm8lEd4Ag5NTuWdsj6aFYBpDJrXBMJHeSGKj3OfnRk7j4EEYP/70\nRfPy5QFyc89jQCIiItIm2mT4B0BeXh4pKSn07NmTm266ifz8/LY6tVxA4n0uYmNj6RHvJtIaSU1x\nOo3Bk4eBeE7xgGG934fDsJMR52m2smJxVZDomFiSYrzYbfoLioiIiLQ9wzS/MJnvV/Tmm29SXV1N\n7969KSkp4eGHH2bXrl3s2LGD6Ojmq89VVlY2fb13797WXlq6oK0HjrFj7wFWbi/loL+aYEQB0Tnr\nMCynf6uaJhz7ZBTeQDr/r5+XXrEn/gjTEDLZfyxMz54XMTg7kW4RjvN1G6eUn5/B9def/i86S5aU\nkpnZwvgQERERaRdZWVlNX/t8vpP2t8nwj2984xvN/n355ZeTmZnJc889x3333dcWl5ALSK8kL8er\nkxhwvBp/XpgifzL+wn5Epm077eqKdSWZUBeNz+mkR/SJ3mjTNCmsDBEbl0BSbGS7F9QiIiLSdZ2T\nKfU8Hg99+/b90p7owYMHn/W5N23a9JWPlY7ts9xeNXwoyellpKSk4P7gY/651U5ZmUFNyEt0z0+w\nOoPNjqstSyRQOIhEVyI3Dkujd08fYdMkr6SOHrEe+vfrw5X9M3A62n8GybKyQIv7vV5vl31v67Pb\ndSm3XZvy23Upt2fni6MtTuWcVBmBQIBdu3YxatSoc3F6uQBkp8VSV99I2DQJ1Jus222hotJJ0eZ4\nHL4y7O4aLLZ6ApVxNFYmEOeIY8LXkri0p4+aYIgDpXU4I3z0zrqIwTndO0RBLSIiIl1Xm1QaP/rR\nj5g4cSLp6ekUFxfz8MMPU1tby9SpU9vi9HIBMgyDAb0ScTtsuJwu0hJ3s3JrIQfLIwhVxxOqbiRs\nhom0OPBFeBiZG8tlPaPYX1xLZcAkLS2N9NTuXNY7haiIkx90FBEREWlLbVJUFxYWcvPNN1NWVkZ8\nfDyXX345GzduJC0trS1OLxcowzDISY8j1uchtlskuVmZ7NxXQMHRcipr6wk2hknyOUmNcWJgcLja\nQmxsEj3i48lKjSM7LbbDzfaRkXFi2ryW9ouIiEjn0yZF9YsvvtgWpxE5pTifhxEDMig+HsdFaYmU\nV9VR7a+lvqGecDiMw27H6XQSFeEmJc5LanwUEe6O+VBibq5L81CLiIh0QRpoKp2CYRgkxUSSFBOJ\naZr46+oJNoQIh02cdisel73D9UqLiIjIhUNFtXQ6hmHg9TjxtncgIiIiIp9qsxUVRUREREQuVCqq\nRURERERaSUW1iIiIiEgrqagWEREREWklFdUiIiIiIq2kolpEREREpJVUVIuIiIiItJKKahERERGR\nVlJRLSIiIiLSSiqqRURERERaSUW1iIiIiEgrqagWEREREWklFdUiIiIiIq2kolpEREREpJVUVIuI\niIiItJKKahERERGRVmrTovrJJ5+kZ8+euN1uBg8ezLp169ry9CIiIiIiHVKbFdUvv/wy9913Hz/7\n2c/YsmULV1xxBePHj6ewsLCtLiEiIiIi0iG1WVH92GOPMX36dKZPn05OTg4LFiwgOTmZhQsXttUl\nREREREQ6pDYpqhsaGvjwww8ZM2ZMs+1jx45l/fr1bXEJEREREZEOq02K6rKyMkKhEImJic22JyYm\nUlRU1BaXEBERERHpsGztefHKysqzPiYrK+srHysdm3LbtSm/XZdy27Upv12Xctu22qSnOi4uDqvV\nSnFxcbPtxcXFJCUltcUlREREREQ6rDYpqu12O5dccgkrVqxotn3FihUMGzasLS4hIiIiItJhtdnw\njwceeIApU6Zw6aWXMmzYMBYuXMjRo0e56667mrXz+XxtdUkRERERkQ6hzYrq66+/nmPHjvHII49w\n9OhR+vXrx/Lly0lLS2urS4iIiIiIdEiGaZpmewchIiIiItKZteky5efS8ePHmTlzJrm5uXg8HtLT\n07n77rs5duxYs3YVFRXcdtttdOvWjW7dujFlyhQ91dpJaJn7zm/evHlcdtll+Hw+EhIS+OY3v8kn\nn3xyUrtf/OIXpKSk4PF4GDlyJDt27GiHaKU15s2bh8ViYebMmc22K7edV1FREdOmTSMhIQG3202/\nfv1Yu3ZtszbKb+cUDoeZPXt208/Ynj17Mnv2bMLhcLN2ym/rdJqi+siRIxw5coRHH32U7du38/zz\nz7NmzRpuvvnmZu1uuukmtmzZwltvvcWbb77J5s2bmTJlSjtFLWdKy9x3DWvWrGHGjBls2LCBVatW\nYbPZuPrqq6moqGhqM3/+fB577DGeeOIJNm3aREJCAmPGjKGmpqYdI5ezsXHjRp555hkGDBjQbLty\n23lVVlYybNgwDMNg+fLl7Nq1i9///vckJCQ0tVF+O69f//rXLFy4kMcff5zdu3ezYMECnnzySebN\nm9fURvltA2YntmzZMtNqtZrV1dWmaZrmzp07TcMwzA0bNjS1WbdunWkYhrlnz572ClPOwJAhQ8y7\n7rqr2basrCzzJz/5STtFJG3B7/ebVqvV/Mc//tG0LTk52Zw3b17Tv+vq6kyv12s+/fTT7RGinKWK\nigqzV69e5jvvvGNeddVV5j333NO0T7ntvB588EFz+PDhLbZRfjuvCRMmmNOmTWu2berUqebEiROb\n/q38tl6n6ak+lcrKSpxOJx6PB4ANGzbg9Xq5/PLLm9oMGzaMiIgILZfegWmZ+66rqqqKcDhMdHQ0\nAPn5+RQVFTXLtcvl4sorr1SuO4k777yT66+/nhEjRjTbrtx2bkuXLmXIkCHceOONJCYmMnDgQJ54\n4omm/cpv5zZ8+HBWrVrF7t27AdixYwcrV67kmmuuAZTfttKuKyq2RkVFBQ899BB33nknFsuJ3w2K\nioqIj48/qW1CQoKWS+/AWlrm/l//+lc7RSVt4d5772XQoEEMHToUOPEZNQzjlLk+cuRIe4QoZ+GZ\nZ54hLy+PF1988aR9ym3nlpeXx5NPPsn999/Pgw8+yJYtW5gxYwaGYXD33Xcrv53cf/zHf1BdXU2f\nPn2wWq2EQiF++tOfNk17rPy2jXbvqZ49ezYWi+W0L6vVypo1a5odU1NTw8SJE0lLS2P+/PntFLmI\ntOSBBx5g/fr1/O1vf8MwjPYOR1ppz549/PSnP+WFF15o6siQriMcDnPJJZfwyCOPMGDAAKZOncrM\nmTOb9VZL5/XSSy/xl7/8hZdeeomPPvqIxYsX88QTT/DnP/+5vUPrUtq9p/r+++/ntttua7FNenp6\n09c1NTWMHz8eq9XK66+/jsPhaNqXlJREaWnpSceXlJRoufQOTMvcdz33338/S5Ys4Z133iEjI6Np\ne1JSEqZpUlxcTGpqatN25brj27BhA+Xl5fTp06dpWygUYs2aNfzhD39g+/btym0nlpycTG5ubrNt\nubm5LFiwANBnt7ObNWsWs2bN4rrrrgOgb9++HDhwgHnz5nH77bcrv22k3bsbYmJiyM7ObvHlcrkA\n8Pv9jBs3DoBly5Y1jaX+zNChQ/H7/WzcuLFp2/r166mtreWKK644fzclZ0XL3Hct9957Ly+//DKr\nVq0iKyur2b7MzEySkpKa5ToQCLB27VrluoP71re+xbZt29i6dWvTa/Dgwdx0001s3bqV7Oxs5bYT\nGzZsWNN428/s3r276ZdifXY7t9ra2pP+wmSxWJqm1FN+20j7Pid55qqrq83LL7/c7Nevn7lv3z6z\nqKio6VVfX9/Ubvz48Wb//v3NDRs2mOvXrzcvvvhic9KkSe0YuZyJl19+2XQ6neazzz5r7ty5800A\nHwAAAZ5JREFU05w5c6bp9XrNgoKC9g5NzsLdd99tRkVFmatWrWr2GfX7/U1t5s+fb3br1s185ZVX\nzG3btpk33HCDmZKS0qyNdA7/d/YP5bbz+uCDD0yHw2E+8sgj5r59+8wlS5aYPp/PXLhwYVMb5bfz\nmjZtmpmWlma+8cYb5oEDB8xXXnnFjI+PN3/0ox81tVF+W6/TFNXvvPOOabFYmr0MwzAtFou5evXq\npnYVFRXmbbfdZvp8PtPn85lTpkwxKysr2zFyOVMLFy40MzMzTZfLZQ4ePNhct25de4ckZ+mzz+T/\nfc2ZM6dZuzlz5pjdu3c33W63edVVV5mffPJJO0UsrTFy5MhmRbVpKred2bJly8wBAwaYbrfbzMnJ\nMR9//PGT2ii/nZPf7zfvv/9+s0ePHqbH4zF79epl/uxnPzODwWCzdspv62iZchERERGRVmr3MdUi\nIiIiIp2dimoRERERkVZSUS0iIiIi0koqqkVEREREWklFtYiIiIhIK6moFhERERFpJRXVIiIiIiKt\npKJaRERERKSVVFSLiIiIiLTS/wfG6pKsnU0okAAAAABJRU5ErkJggg==\n", 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