214 lines
118 KiB
Plaintext
214 lines
118 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np \n",
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"import matplotlib.pyplot as plt "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"def scatter_plot(data, col=None):\n",
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" from mpl_toolkits.mplot3d import Axes3D \n",
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" %matplotlib inline\n",
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" fig = plt.figure()\n",
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" ax = fig.add_subplot(111, projection='3d')\n",
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" ax.scatter(data[:,0], data[:,1], data[:,2], s = 0.5, color=col)\n",
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" plt.show()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"N = 1000\n",
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"K = 3\n",
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"d = 3\n",
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"L = 10"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Generate some data\n",
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"np.random.seed(42)\n",
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"mu_true = np.random.uniform(-L, L, size = (K, d))\n",
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"data = np.random.normal(mu_true, size = (N, K, d))\n",
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"data = np.vstack(data)\n",
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"np.random.shuffle(data)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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YmppieXmZrq6uinSrFcPIRY+Pj+cL04EV7alG3W8xIqksmqZTay+tweFyCPiLk0H+/eUlvvj2Hh57xUuDw0y9w4yq6Yz7EvQ32nniVR/xtMKnj3ZikkTevauR0aUosUxuA6ihrpaZizFmkibes6eb709OMNgp0+aSsJrlFQ0faV3C4XDQUudCey2y8yU1mhxyxT+zSrcBV9p7WRAEZFnGYrHQ1dWVv32jskCjRlvX9fzGXjW9cBVhlH0ZZtRGVGsymbb0BSuMNDs6OvImNF6vl1gsVrHnbTQ1ZDIZJicn8Xq9dHd3XxaxdbvdHDhwIH8VUJgDjUQixGIxzpw5g8lkyre0GoL8yDkfiYzKf3lb1+YPegmJprI4Lbnn31Fn4239tZyfj5JRVARyIj8VSPLtYzN011mZDCQ5MRWi1r5Aq8vCnjYnHn+Sd7TmNiOXo2kee8VLk9PE6bkwyYzGB/Y1c0N/PaGEwv97LsE9h4YYbHLwzV9Okoim+VBtLr/vWY7yo9EUB5tN7K9VmJ+fJ6KamIyovGdPy7Zy5G+UVWQ5FCsX26gs0BDjsbExvvOd7zAzM8N1111Ha2srH/zgB/nc5z5X0uO++uqrfOQjH8n/v8fj4S/+4i/43d/93fxtTz31FHfeeWd+2sjdd9/Nn/7pn5b9Gquiy+YNDZIkrTHm2IhCX4RikaYsyxWPEkZHR4lEIvT09DA4OHhZxNbwYDC+/LA2B2oMzbRarfnWXiOf3ZDM0CTLXLyYXOG1cLnyzamszld/Ps6EP8nv3NzDNe0u2mus3La7ic/+2xmyqk5SUXnOE+Bwdw0fO9zG4yM+hjtd1NtNHJsIEk1nGVmKsb/dwQvzcZafm+GZUR9v66/HZZF59MIyY8txjk+FeOAzwzQ7LcwGk/z5Ixf550/sp6/RjtPqpqOjDn9coX9QJmid55ejPlrt0JXNcnx0mV9OxXFGpnDZt16aVemc7qXqRiunMcIQ4+uuu44jR45wyy23cOrUKZaWlohGoyU/7s6dO3n55Zfzz6Gjo4MPfvCDa37v5ptv5uGHHy553WK8pUW31IYGWZZLEt1UKsXExATBYJCenh527NhRdL3VHrhbxXi8cDhMfX09e/bsuaRi6/F4cDqdGxreqJrO2fkoQ82O/C69rutIklTUZ2GjbrLCqDiSlYimVWpslXl9P3/Fy/fOp3HXJrmhr5aXZkKMeePctruJ0eUYVklAkwSOT4Z45LyXDw+3EUgo/ODkPC1uC2ZJoN4qE0qrTPoT/N7bu/ju80EiephwKsurixHmIwpWSWBfm5OTs1G+9MMLNLksXN9bx2MjPtKKxtd/OY1JFrn3OoWfXvDyxbf3cs+hdhpsEg8872HHzlo+9WtdfETVMUtCfgPKqAYobFpY3X23+rtQ6cj0UnWjbfWka6SeRFGkra0t33lXLr/4xS8YGBi4ZPW+b0nRLbfGdrMOskQigcfjIRqN0tfXx65duza8DNyK90IhqVQKj8dDKBSir68PRVFobGysuOCuFlvDyrEYxusNxDP8x+lFfmO4jb1trk0vh81mM2azecXmh7GhYohLIBDg26eC1Fs03t1rJZ1Or2hg2Mol95mFKKoOX7ptkBaXha/+fBxJFHj03BI/eGmB4a4aQsksJkmkyWlmOZphbDlGi9uCLArMhtOkHBqiIPChQ238++ll0irMhFKkFY0am4XDPfU8fHaJMV8ciywwFUjijWU43F3D/7x7N5Ik4rTJLART/MWjo3zoUBs99TbMsshjI16moho1NpmkovGDU/O8d08TrW5r0Q2oQqMbwwJydcOHEVxUiitNdFOpVEVKLh944AE+9rGPFb3v2LFjHDhwgPb2dr761a/m67zL4S0lusXEtpQDdr1INxqN4vF4SKVS9Pf3s3fv3pLW26roJpNJPB4PkUhkhelNIBCoaLpC0zT8fj/j4+Obiu1qmlwW/vd39OKy5lpjF+MqJ84s87Hr7SXXoBaWGhnGLf+tM0XQu4RV1HA4HCtqZrfiy3v/O/o46fTR6raiqBrJrE6d3czjI152tTr58OF2mp1mggmFVxZjPD8ZYMKXQhLh9r1NRFIKM8E0Hx1uRddA12EhqtHVoPOJI+0c7qmjt97GhYUoo8txVB1sJpGsBt8/ucCvxgPMhVLU28y8a1cjLqvMr1/TzJ/85wgOs0x/nY1mOU2Ty0IsleXEdJjDXTW0uteWFm5kdGOYo8diMTKZDKdOnQIo2n1X7snrjU4vrCYUCm3bXSyTyfDjH/+Yr3zlK2vuGx4eZmpqKrcf8cgj3HXXXYyOjpb9GG8J0d1uQ4MsyyvGkITDYTweD6qq5n0RylmvXNE1IulYLEZ/fz979uxZMyywEqJrnJSOHz9ettg+6wmADjcO1FPvMPPd47MMNDoQEGBVcKVqOqqm8dJshD2tLlzWtV/DrKbz7eemqXeY+NChdlrdVtRo7veam5tpbm5+fT1VzU/qDQQCeV9eWZZXCEuhFaQkvv4dMEki//22ASQBYuksT40GyGQ1/uXYDJ21Vv7g1gG+8aspommVTxxuZ2+bi+fGg+jAQ2eXqbfLBGIZFGDCn+Lbz8+BDoFYmkl/ArdV4t7rO5kOJHl6zM9iNINVFliMKiQyGn++fyfjvjiZrMa4L8mBdhc7mm10t2exmSRsJom//43STuiFrDZH9/l8+RluhhgXnrwEQViTL7Zares+7pUW6VaiG+3RRx9leHiYlpaWNfcVCvrtt9/OF77wBXw+34oTXSm8qUW3Ug0NkiSRSqXyvgiiKNLf37/lD7hU0Y3H44yPj5NMJjeMpLebriicdZbNZjl48OC6EUMsleXR80u8faiRZpeFkcUo8ZTCuDdOV10uzxtMKHijaa7trkVUTAy3NmCSRDRdRxQEHjgxh8MiMxVIcHI6zKeu61wjvKqmE0mp1JdQTiZJUlGTdEVR8pfchhXk8bkULW4L+zpqUBQl7y1rek08PnSojSM9tbTXWHBZZf7X8Vl88QxDTXZeXYrxbyfnGWq24bSI+BKQUDQS4Qz1FkioufNLIK7wP5+cxCJDRgWbSeIn55apdZgIJlRcZoHP3NDJExcDLMcy/Mtz00QzKh03dtNdZ+O3b+zGLSn82zEvXlOAWwbrK9LZV5jzNES18ORlVJ7EYrF1J3wYJzGz2XzZbB1LpRIOY9/73vfWTS0sLi7S0pKrIDl+/Diapq1I85TKm050Cyc0GNHfdhoadF3Pu1TFYjF27ty55uAul80i01gsxvj4OOl0uqidY7nrrUeh2Nrtdvbt28f58+c3nAohigI2s4QsCiQyKmfnIq8dzAJL0Qw/vbDMTQP17Otw01lrZSGSq631RdN85WdjvGdPE/2NdlrcFo721fHMqJ9QIsMzYwHesaMehyX3lbTIIr//rj7SWY1oKptPV5TzOZpMJmpra1ecHJ8KeVCdZlSzTFJZzLuPxTMqScyc8grsbnfxf47F+OP3DfH9k/P80y+ncVkkYuksJkngxakoVllEEiD7WhSvqGAVQRdAAFIqJBWwSCCJOsmMwoQ/SatbxmEx8bVnZshqGqmsxmI0TV+jnYfPLTLujfOPz0zy6cONKCosR9Nlf65bZb3uO1VV8yevYDDI7Ows6XQaVVUxmUxIkrRCjLdDNpvdcndmKBTaVqSbSCR4/PHH+cY3vpG/7Z/+6Z8A+PznP8+DDz7I17/+dWRZxmaz8cADD2zNL3rLz/AKw2hoCIVCJJPJvFBtR2yXl5eZmJjAZDJRV1fHgQMHKvJc13tOhneuoigMDAysqEnciO1M8TXE1kgjbDYnTdN1hrtqqXeYeeJVL8vRFL99Yy+LoRhfe3qK/R1ufnBqns4aK/Jrl/C6ruOwykRTCv/w9CTD3bX85vWdxNJZbhqo4+xCDG80RSyt4rDILEZSeKMZ/uPMEruaHUTSWd63p4l/fMHHdZ12zoaXOdJTS0ORTrGNmA4kiaeyvP3adr7y+DjZGPzfb99DIJ7hR6cX8UeTKIKCpKYJx+L8zY9PcqBW47Qq4E9mcZrBZpKZjSiksirdtSamQ7m0U3RVyt/4hFMqpJIasZRGVof5SBaRLG0uE75EFjX3gfDKQoyuWht9DTZq7WYkQae3zsyPLywz3Ommv2lrjTmVYL3Kk6mpqby1o1EGqCjKhmmdzXgj0wt2ux2/37/its9//vP5n++77z7uu+++La9vcNWL7uqGhlQqhd/vXzHgrxw0TWNxcZHJyUlqa2s5cOAA2WyWiYmJCj/z14lEIoyPj6OqKgMDA2W3MZYqurqu5zfIVott4Vob7XCfmg5xejbChw+3c2IyyKGuGs7MhfnpuXleWYyiaRr1DjMTvgSPnF9mtzvL3fUN2EwS/Y0OTs5E0LQAmqZilk3sbHZwfiGCxSTx9KiPpWiaE1NhbtvdxL52F0d6atF0nZMzEVIZFacscGwyRH+jg4bXOsWMtt1Xl2Ls73Cvu2EnCCBJIoIocqizhjNjIQD+v5cWiCSzvG9fG9P+BE9c9KNJVl6NZqixmviT97TzjV/NMBFMMRtRkAFRgFBcKfo4kEsziLyezs4WvKUaEEypHOl28eJMFJtZ4gP7Wjg7H+XP3z9Ed33u4P+FJ8FUQGNkKb5t0b1ULcBOp3NN/rNYWiebzWIymdbMvlstsNtJWVwNZjdwFYvueg0NJpOprEYGA8PIe3p6es3UhGQyuaU1NyMcDjM2NgbAwMDAJcsRF4qtzWbjmmuuWbeleXWkG09nmfQnGGx2sBRJc7i7lt2tLqwmgZdnwgQTGQJxhWl/nMNdLka8SZ6bCCGi4baZicU0lJeWuf2gFVXT0VSYDGaIZwL86e27kEWdi8sS9xxs5SuPjbEczZBWNf71hVn+5H07cFokJnwJbt3VyII3wHIiS63dilnKxZLPjgeYDaW4rreWX40HGWh0UGsvLi5ddTb+6D2DAHzq+k5eFBfQdJ3D3TU0O838X09OshRN0+Aw47DIpLMaO5ocPDcVYyKkUO+0EEqnMcu5SDa9vubikiBa8JG4zRB9bbSXTi4XbDGJCDr44lmeuOhjoNFBWlGJpbN87dkFBhvMtDc7GPfF0PUmspq+ZReyyzmUslhaB16vyY7FYutO+DA29LZCOBzecm3u5eSqE93NGhrKFV3DW3Zubi5v5L06LyXLckWaGQyCwSCJRILx8XEGBwe3nfwXRXFFdYVBOWJbuFah6E76Ezx8dpH37m3hmYs+btnRwJQ/wfMTQULJDM0ZM41OE7trbUwGk4TiaWyySCSVZW+bk16bwi8mI0xHJpkKJuist7IYSlFrNfHNX03SXmNlZClOi8vEUjTN4e4amhwmjk2GiCYVfjUW4Pun5vkf79tBf50Zuwmcmg2LnPvMd7c66ay10t/k4HM3dWM1lRclTfqTPPjSIp8+2slHr20DBJ686Ge4081Ls2G6ai38y7FZwikVq0nkjmuaePKin2hGQyQnvsWuC6Krvi6xDJhFyBRckDw9Hs7/fKDdxZOjAT727QD/9e09oGvsabbyi9ksL0zG+PV9rXztqQnes6eJWwZzG5OFbmibcSVMAl6vJruw4SORSDAyMoKu60WN0Td6DVeDly5chaKrqiqKomzYPVZMgFaTzWaZmppicXGR9vb2vC9CMcptA16PQCDA+Pg4sixjtVo5ePBgRQ6E1UJpTKAYGxsrWWwL1ypML/Q12vnczX04LRJWWeQfnvYQSWaps8vU2CSUVJxdTgW/7uTF2Rjo4JChww6jc0GmJI1QEmRRosFuxhuJIojQUmPFH8vw1KgfSRT48ZnFXDNGTGEumGI2lObCUoyx5RivLsb4m8fHeP+gnb46K5NelXg693k0uSw0vWaHWK7gKppOe42FTx/tZKDJgSwKhJMKvxoP8JPzy0wHEnzPn0QE6m0CR7vdvDQfpdVtQYql0XSdSHr9VEyhIGtAo1NiPpJTY6sAKT33O51uiZGFCNG0htsi8LWnp+iqMfPpQ7XctL8DRdV58qKP5WiGk9NhnhkLsq/dxUcOt5f8Wq+0mlqD1Y5jXq83f1ysN9l4vQkfVdG9RBjz7tdjs5bdQgeuzs5Ojh49uukXZ7M850YYAjg+Po7ZbGbXrl24XC5eeOGFikUfkiQwYnhxAAAgAElEQVTlp+Qaj2W1WssSWwMjvZBWVObDKZ4Z9XPngTa++atJOutsdNXZCJjS2Ekxm4gTtFgJWNuZCSQYbHUzG0xR6zDTVWfh5ZkQ4aiOKELMF8csQCgDNTZwyVlGYhksskgioxFKZXnnjgbOLcSosUgMd7q497ou/ubxcd7WX0ud08JFX4aBOhPDXfV01dsY98ZxW+W86Gq6jlrGJfjTMyqT4iKJjMof/OgV/svburhzfyu/fk0L3zsxxzsGO/nqEx6SGZVoGp6ZCBNPZ7GZRMyyRKvLzPnFXONDMYybWxwSy3GVhYj6ugi/psh1VpG7r6nl68f8iMCuGh1FgwZ7lj96bIa7D2R5/4EOfDGFW3Y0cO/1nbw4FaK9prwd/ish0i0F43mW0vARj8fxer2Ew2Huv/9+ZFnG5XKxuLjIvn37GBwcLPlxe3t7cblcSJKELMucOHFixf26rnP//ffzyCOPYLfb+c53vsPw8PCWXuNVJ7qbsZ5AplIpJicnCQQCl9SBy6CwQsBms7Fnz54VpThGyqIS5i6CIBCLxXjxxRexWq1rHqscjKj5J+eWaHKa2NPmxBdLs7fNTU+9lQFbkh+8uIDZ4aSxoY6eBjvn5qPMBeJ01lkRAV8sw3w4SSChYpNA1UABYkYJlSDy7ESMuALGVXgsofLYhWVEwNZg49BQAwklyw19tdyyo4Fml4Xnzk/w7xfCRNQkHx5u44GT81gkkT98zyB1dhNPX/QzHUzym0dLcy3b2yiyr7+Ol2fCNDstuM0SD59b4kCHmz+9fQhN1+ltcvCH//EKqYyKWdRJiAJZFQQ0ZkIpjK+aLIAEFAt8/fHXxVYi95o1HawyJLIa330phApYTQJxycY/f3I/L14Y59svBZn2hnn0+QC/GEmyo17mseMRhnvqcJmksnb6L5XoXqpJFBvdV9jwYfDss89yzz33sH//fs6cOcPzzz/PX//1X5f1uE8++eS6jQ6PPvooo6OjjI6O8sILL/A7v/M7vPDCC2Wtb/CmE93VJBIJJiYmiEQi9Pb2snPnzks6QqbQr8DhcKwbbVbK9Mbv93Px4kU0TePQoUPbnq1mlHgd6a3DYZZ4YmSZv/7ZKL93fR0/e26B63e08xu37OeZ8SB7XCrPe4LMhnKX4HPhNMGkQq3NRKPDRCSl0mCDUEYg9poaJVVIJjTqrCJNVonFaC4VlAWckoBVFtCyKf75V5N8/4VJam0yi14/3Y0uJr1RwimV2w80IkkCd+5voclppsaW+xpPBZOoWulXJG0Okb4GO30Ndm7or+fvnvBwdj7Cbx3toqvOhigIHOhw8w8fuYY//8lFTs1GsZsEkoqG02riUKeb8/NRFiIZumsl4mmV5UQulVCIcd1lEiGrgUmAVpeEw2rG400SVVWu63Hz9sEGzCaJuKLhS8HhLhd3XzdIvd3EsjTHUxf9XBxJ01yTpjYaXdccqJjZzaUQyEoFDZXAbDYTi8X45Cc/ue0pLMV46KGHuPfeexEEgaNHjxIKhVhYWNjSxt2V8Y6VQamCGYvF8Hg8JJNJ+vr61rTOboWNivONul6Px4PL5dq0hXa7XWTGBpnFYqG/v59AIFCRYZZGpNvVaMu5UqWjSJkY0bSTJamZ57wyXs8iA01OHr8QZCqUZF+rC7dNIpRQWIikSSoqiUwWWchFtzZZJ7yqxj+Y0iCVkyeHBIoGgijSVmdnIZzEbhUQRQmbVWI5niWSCtBjSdLfqLI8O8VfnknTV2/hf7ynDyWrYjHJ3LqrCbnEzaXVV0OSkNuUy6oaD5yc5wP7Wnjyop9DXTW0uS0c6anhwkIUSQSbDOg6vxwPEstoWETwBF+PZkXWCq9JzDWW6JqOSYL5iEqvSafJbWE+nGY5qvDRI5387oPneX4ixNnZIMGkSoI57j7Yyqg3wV/esZNMVmdniyP/PSxmDhSPxwHWmN1c6ZHuds14FEVZMauuHARB4LbbbkMQBD73uc/x2c9+dsX9c3NzK4zVOzs7mZube2uI7mZEIhGSySQXLlzINxhUIrI1xGh1DqtwuGRNTc2GtoeFbFV0jQ0yi8WSTyNEo1F8Pl/ZaxXDeJ0nRybwLc6xu62Zv//UDTTX2Lk+nuZ/vTCDrsN/np4nlFBosJmod5g4PRshlFIQNB1/IidAMpDM5nKbza/lNYvR0WAjm9XxxlKkVY2uOjtn5yIMNFsIpVU66h3cMdzOj05MMLuc4QMH2vmNAxGemwzznyenmA1f5D09Eq21OZN0b3qtiUsmq/HQmUWu762ju37l5/PzER+RVJbfPNrFickgZxeipLMaj73ixW2Vaa+1MuZLsqPFyVwohcMiIskC8cxrXh6viWmNGcKZXD1wg13CYZJYDGfI6CCJr3VLAonXQt+ZUJoam0xXnRmzLDAXSrK3zcmDpxbodstc2+Xkczd1I4kCvzbUQHuNdc1mYTFzIGCNv0IgECCVShEOh4u29G7lGLkUpuhbXW+7gv3ss8/S3t7O8vIyt956K7t27eKWW27ZcP2t6spVJ7rrvdBgMIjH4wFynSUHDhzY8lmvGMYGnSG6uq6zsLDA5OTkloZLliu6xgaZyWRak7OtVKpC13VisRjz8/OcjDg4snOInt4GHj67wMEulWhKRUBAR6Cj1sa1fXU8NxbgsfPLpFSd9+yup7fBwaPnvYz7UxRuZ4YSrz8/I68Jud37QCxXwJrIgC+corHNRVe9HUmAZqeFaFrlz35ykVZbzghnKa7yuXfupPnlRRqdJhITIa4d7sYiqMRisaIOZBabg0RCQVGcgG3FVUudXcb0Wt3vtb11XNubK2n6qzt3YZFzmzpfunWAb/xyCodJ4pWlGGJWIK0KSOhksjpOU05MrVLOTOeOvS2M+5PYTDJjvgQAzS4L3kialAa7m63c/84BfjbiZXQ5TpPbSiCe4bbdTTw9FuC2QQtHehuos5tYimZ4z54mxDIO8tX+Ck6nk0QiQVdXV95fIRgMMjMzs6k50EZUMlW3nW40g60+n/b2XCVIc3MzH/zgBzl+/PgK0e3s7GRmZib//7Ozs/m/KZerTnTh9byjsVvv8XgwmUzs2LEDt9vNyy+/TDabrbjoGl1vCwsLTE1NUV9fv6KJohxKFd1Csd29e3fRFMJ2XcYKo3VBEOjr6+PalnbMsoiuw4Q/wamZEJ95Wy97291YTCI7W1386KV5vLE0gqBjEuHsXIyFcIaOGjNzoRQWk0gypZEBMgWBQuGrtkigqCpNLhv+RJJYRuXYRAizJLCr1UE8o/L+a1r4xUUfL3gCALxvv4zwmo/tQiTFUiSDxSRjN1sQTRZ+Ma1w00Ab++psed+AWCzGDc0pwnNjHJ/KdUelUinm5ufZUevE4XDxg5PzNDrN/NrOXMRYGFXWO8z86fuHAPjOsRkuLseJprKcnY8QTKqYBWh0y/Q3uWivtfHjs4uYZBGnWcJpFjFJIoe63JhEkYfOLJHRBE7NRDjUWcOkP0kspfCPv5zm/nf08b1PD/Pgr87xzePLHA3A8ckQv3VDF0PNW+9KMyoNyjEHMo6h1eboRuBR6b2R7VRDpFKpLR/vhhG8y+UiHo/zs5/9bM0YnjvuuIOvfe1rfPSjH+WFF16gpqZmy40YV6XoFvoi2Gy2NWK01a60jRBFkbm5OZaXl2lsbNz2JN/NRDcYDDI2NobJZMqXmW303LZqeGOM36mpqeHQoUMsLCzkoh7L61+Njx/p4t9PzWE1iUz44wTiGUaX49TaZXY2O/H4YsyHlZy7WCyDpuc8B+wmAYsJFKV4AwHkXLhSKoTTSUwCiIKA2yoSjKucnYvhtMj84NQ8kaTCNc1mpsMKqqbzr8/P0Oq28P5rWvjYkQ4Azi9ECScUJEHIR4XFfAMM0+/Tp0/zrePLtNoWGW7QCC8pmF1WJszRvPGLcfXyN4+P09dgI6VojCzGcFllPn20k6dHffzzsVnSms6uRht7ump58NQcig6plIrTYqLWbsIbU3BZTFzXU8PjI17cFhlZFnh6LMieNhf7O9xouk5bTU44muwSPfVmnrzo5+aBenrrN09ZbcRml+7FushWNy4Y5kBGrWw6nWZ5eXlFrex22K7vwlabjJaWlvKjebLZLB//+Md573vfu8Ls5vbbb+eRRx5hcHAQu93Ot7/97S09Flylonv69GlkWS7qHQClN0iUgtEe7PV6aWpqKtqxthXWE91yxLZwrXINb/x+P2NjY2vG7xQT8I5aKzfvaEREIJ5WOdhVy2IkBbrAzlY3bpvEfNhHPKPT6JDIqhoSOWvGrlqBvQ4LZ5fTxBV9RcNAYZoBoMllYiGiEMmoiEBWhYyqUWeTCMQzeJMajXYZq1li1BvnXUM5W71wUsFulpgLpYils3x4k6YBQRAwm82YTCZu3tNFe42FnS1OhlflQRcWFkilUkiSxE6HzGIozfPTCdKaiN0i8q3nZzg/F+UrHxgiHPIz6lf51xdm2Nvi5NxijKyqkc6qRFIqe1oc6LpGNJ3lczf38OJUmFqriT967wBNzrURWjyTJaOKfOnWflprrGWlFoqhaVrZgrbRqPREIsHp06eJx+MsLy+TTCYB1pjJWyyWkiPiN8rspr+/n9OnT6+5vdDsRhAE/uEf/mFL66/mqhTdzdy+Sp1pthGqqjI7O8vs7CwtLS20t7fT2NhYsbHpq0V3K2JrUE5O16h6sFqtRSssiomuouq8NBNCUXV+43AHtXYT/35qnr5GOzfvaOCP/uM8zU6ZuKJSazczF07jsEmk41miabi528x8LEs8nM0Lbo1FIJx+XYRdZkgpGjq5CLmtxoosQDCZZcyb4PfePciT5+foqxW5bXcTu1udSJKIqun8y7EZhrtquG13rm7z5HQYdJ3DPZsfhO8cel1MCvOgFlcdF8YDvPNAAxYJBuNxQpEoe+sEvva8n1ozjM3FCcR1/vLRUQbrTbS6LEgIzIRS2EwS797ZyHQwSWw5iqLp/OS8l/88t0xfg53pYJJjngDX9tTQ5LQwH05xcjrM+/Y2I4sCMjpOS67xQxQEZoJJHjqzxG8d7cRpKf+wNUrLKoGxeWexWPKTcWGlH28oFMpbQBZaPxr/FssXb9fsZrvt9JeLq1J0N7ucNplMW450C70YWltb8+3BhsF3pZAkiUwmkxdbWZbLFlsDI8e9EYWivlHzRDFrR7MscteBdp581YvFJGI1SfQ1OuhrcOCyydjNEoMtTm7f3cj3Tsyzr83JS3MRsjpEUjo/G4/iS7xmoA04zNBbb+X0QhIdcJpF9rTYOTmbG0vf4rbwnU/t568f99BXb8NtM3F2PsJ4II0/JjD+yCjNLjO+eIb9HW4+sK+FxgKbx0A8QyqrcfLZKd411MhAEYeuzbx5I6ksL06GODsX5beOdtJWU0NNTQ1dnR18f/Qss9E0n397Jz85u8CrywksehpTNsO1TSLtNTIddU5+NZug1iphlWRaa6xYTSJpReOzt/Ty//xyCo8/wb+9OM+dB1pIZlSeGQ3wzqEGnBaZTrfM27pb8t11iqqTyKhl1SEXUulKg2ICuZ4fbzabzefVvV4vExMTa1zHnE5nfkNvK4RCoaroXko2u1yRZZl0ujzz52w2mxfbjo6ONV4MlYieC0kmk8zMzBAOh7cstgYbvR/hcJjR0VEkSSrpcVab5wTiGTy+OAICdx1sQ5ZEliMpnnh1mUQmS5PLTI2skYqE+bdnQ8zG4c7dLs7NQ4qcpaHNJLCr2cJHjnTxr8emCSQyjPlSADQ7ZD51XQftNVZ8yWn2tzuYD2f4zrFZmp1m0qrGQ2eXEIF39jmps8Cv5rMsC/D2wTouLieIpbMMFgjrrbubUFSNJy/6i44CKoWuOhv3Hu3kjx56lfPzUZpdFiQxlyv+qzt3sRBJs7fNxc1Dzbw4GeIHxz1EBBPDOxpZCCVoq7VwKK1Sb1JIRRXq1BDelMC1nS72NYj89Z1DKLrA8xMh6u1mujqsXNtTmxfZ1SLZ32jnD24d2NJrKbbediknKpVlmZrXTlqFrJ5sHAwG0XWdYDC4QoxLyRdfLb4LcJWK7maYTKZ8gfhmZLNZpqenWVhYoKOjgxtuuKHol0mSpIrkiUOhEGNjY6iqSl1dHfv379/2msWIRCKMjY2h6zpDQ0MlD+xb3UY94Yvz1EUvFlliR7MDt03kiVd9NDstLPmCnH9lmV/rruFhrZ5XIxHqHAK1NjOtTolMWKXFBsGYxnIsxUvj89hNIu2tLs4uRGl0WuhtsPOea1r4+yc9xNJZgsksFxZizAdTZHQYbLTTVWPlojdGg9PE4RYTtx3uwBfL0Og0E0lpZLJroz+TJLK71UkslaXZVf5ltTeapt5u5u/u2cOjF7z81c/G+eP35nr56x1m6l+LrP3xDE9c9PPrO5xkJCuHBhr44UsZHhlP8ifv24PNJPGBm+GLD5xBNCm8b6c7Xx2QyigMWS1kAgmWMk6WUhJ2u40dzc4rqga2GJXwXTCbzdTX1+fN+icnJ7HZbLjd7nxk7PP5SCRyJXd2u31FmqJwftt2p0ZcTq5K0S0l0t1MIBVFYWpqiqWlpZKMb2RZzm8WbAVDbCVJYmhoCE3TmJ+f3/J66xGLxRgbGyObzTI4OFj2F3F1euFQVy37OnIRikkSyGQ1dteLPPTiDLpk4gvvPsh/nPMjCCHev7eJZpeFV5di9DS52d0uIaPw5GgYQYfnZpIk0xoJW5J0BhZTaXbVC/zxj85xYSlBjc2MP6Zw02Adw501nFuI8eHDbTxy3os7amYhmiXoFvm7n1zk3Tsb+OHLS7x3TxPX9a58jYmMilkWOTUdJpFRixqAb5ZeePDlRVwWiU9e18m13TUsG2a4q2hwmHnHUANNWoC2JjcXQykm/Um+8PYebCaJcFLBH1f4yl17AHAXRN5//9QETlXgji4XsViMH55YQstmuWPARDqdZm5ujpqaGpxOZ1kbUsWotDnNpXItM5lMRY1ujHxxPB5fM7/tBz/4AV6vl6GhIZaXl1fMfduMmZkZ7r33XhYXFxFFkc9+9rPcf//9K37nqaee4s4778znr+++++41JWXlcFWK7mZslAoodBnr6uoq2fhmq566q8XWiDij0WhF0xWqqnL69GnS6TSDg4Mlj/pZzepIVxQFzK+11v7ywgxPn5vi9h0ODu/q4/FXg/jTcOeBVrrrLCiqysuzEQ501nJqJsx8KEmTFbprTXhCWWRRZLinhh0tDr5zbBZRhoMdTqKJDMEIJLMZHHqWTqvIqQkvZ5ZSvGuonl8bauBj17ZjzkRJJBJ01liQRJH9HS72tq1Ml+i6zneen2VPq4Pbryn94FvNPQdbeXzExwMn5/noBtUQdrPEO4caGBsLIggC1/fWsrvFSe1rAzWPT4Y4PhXmS7cNrGlRvqG/DrtZoqHBRUNDA3/Y3gmARRI4deoUVquVcDjM3NxcfkOq8LLb6XS+YYY3l2oS8HprFuaLCydVqKpKOp3mm9/8JhcuXOCTn/wkwWCQ559/vqTnJ8syf/u3f8vw8DDRaJTDhw9z6623smfPnhW/d/PNN/Pwww9v7wUaj1mRVa4witXpZjIZJicn8Xq99PT0lO0yVq6nbigUYnx8HEEQil7el1vmtR6GGXoqlWLPnj3bantOZFR+ciHAoCvLjoLbo9Eoo6OjZFMqtx0aYHhHG4qqEVdz/rO7Wl28faiB0cUIB7tqcFlkTkwFMcsSPfUmLJLGu/Z2MOZN4I1nuHN/K3ZZ4Oev+jmxqGKSzfS3N/DCRIDdPS18YriBr/xsAklX+OpPR3CaybXLumXu2mnnizcNYLVa0fW19b+CIPCunQ3U200bWjxutvHY5LJwTbuLjFraZ5Q31BeEvOAC3DxYz8FOd1FPiGu7V0botoJmDEEQaG1tXSEc2Ww2nwNdWlrKj3gqxfDmahHdcjfSJEnixhtv5MEHH+TTn/40N954Y1l/39bWlm9ycLlc7N69m7m5uTWiW0muStEtJ72QTqeZnJzE7/fT09PD4ODglr58pW6kGSN4BEHId8gVY7utu8lkEo/HQzQaZWBggEgksm2fCVkUqHOYkIXcexePxxkbGyOTybBjx44VqQqTJPLhw52vP5+MxvmFGIIQxxdXuHGwAU3X2V0Dj11QuOtgG6IAry7F6Kyzcfu+Np7xhAgnVfa12+iotRFNZWlwWmmor+e332nm1cUo33puluZ6C/ta7cSiUVKpNKOjo6RSKV6Z10g1OqjT6/OiI8syO1tKM/7Z7L3a31FaHhxyolvse2U1SWWbqxvrrX5+siwXbWAwDG9isRh+v39FDtR4XxRFueJFdztrVmL8+uTkJC+99BLXX3/9mvuOHTvGgQMHaG9v56tf/Sp79+7d8uNclaK7Gcam1yuvvEIwGKS3t5ehoaFtCdJmHWSFYlvKCJ6tGt6kUik8Hg/hcJj+/v68e9r4+HjZI8pXY5ZFbhmoY2Ymxrlz54jH4wwODq4ojC9GJKnw5cdG6a+3MNTiorPOxuHuGrzRNP/50jROcy4fnFZUHjqzzEwwxQcPtnLTQAMui8TxqTAfubaD9+5tJqnk3pNdLU4GGu00Oi2cmA7R0eDguj01xGKxfG5t+LXILxaLsbi4SCwWQ1XVFe5axu73pbTzhFwkWWJQDOTGINXZTdTYivsblPpZbmR4Y9TMhsNhYrEYL7/8MiaTacV7U2w4ZClcKZGuQTgcLnugayGxWIwPfehD/N3f/d2aQGl4eJipqSmcTiePPPIId911F6Ojo1t+rKtSdDf6MiaTSSYmJkgkEgwMDLBr166KHHDrRbrliq1BuaKbyWTweDwEAgH6+/vZvXv3itdlRM7biWYymQzT09P4fD727dtHU1NTSe+dqunEUlmCCZHjE0EcVhN721yYZQmrSUTUBcySyEIoxaQ/zu4WB6Ig8L/d2M3p2TCvLsV5ajRAnS1Xz/qcJ8jb+ut54lUf797VyDXtLsyySCwUWPG460V+qVQqL8ZLS0skk8kVBfpGcX4lhfiX0ykmR2b5P+50b9o9puk63z42w+HuGu7Y37ru723n+a2umQ0GgwwPD6/woig8URnzyApPVBt9l4xNr0qy3Uh3q6KrKAof+tCH+MQnPsHdd9+95v5CEb799tv5whe+gM/nW9fwfDOuStEtRqFZeX9/P8FgsKKTQVeLZOEk360Mlyx1BJCRi/b5fBuasG/H9EZRlHy+u7U1JwLl7ADXOcz8/Uf2MR+M54Y6dtdiN0tM+BNMB9PYyKKoGjtanPzeu/o5MxdhKpCgyWnhQGcNBzprOD0X4dR0iCcv+rmmw40ggMMsIYlCPhqMAfGMxs9HvCQzKkd6amldNbamcMxL4WSBwgL95eVlIpEI8XicM2fOrBAbu92+JbHrq5VobXJTyl+KgsDv3NK7opLhUmPkdEVRXPdEVdjAUKytt9AG0riiqDRbPdGk0+ktPR9d1/nMZz7D7t27+f3f//2iv7O4uEhLSwuCIHD8+HE0Tdv06m8jrnrRTSQSeDweYrFYxS+3CzFEMhwO59euxCTf9Sgsaevp6eHo0aMbRh5b2ZgrrFHu7u7m6NGjJBIJotFo2c9XEASaXRY+em1H/j03SwKhpMrhbnPeQGd3i5OzcxH+/qkJ7jnUztG+XHRyoMNNLJ2l0WHmSG8tdpPEnQdyJ4AJfyLfcbYcz/L0XACzLDCyFOfzN/eU1ACxukA/nU4zMjLC0NBQPio2xEYQhBVCs17baiHtTonu7rqSv2+t7so54G2X9eaRaZqWdx5bbQOZzWZRFAWz2bzlFEWl2I6X7rPPPst3v/td9u3bx8GDBwH48pe/zPT0NJDzX3jwwQf5+te/jizL2Gw2Hnjgge3tnWz5L99ABEEgHo8zPj5OMpmkv7+fvXv3rngjKjmDDHLNBolEgrGxsUsqtoVTisspaStnY07TNGZmZpiZmVlTo7xdm8jCz2BHs5PfubGdVNgPvBZRZTWu662l2Wles1F1Y389up7zUhhqdnLzYD2KqvHIuWWO9NbSZ4feWhP//ZoeABbCKZyWrV2OGifkYvnQwktwn8/H5ORkXmAKhbiwSqCSJ/hLwVaemyiK69pAjoyMALCwsJAfG2S1WsvuJKskW3mNN91006aifd9993Hfffdt9Wmt4aoUXV3X8Xg8dHR0rLtjb1QwbFd0Czu7LBYLhw8f3tZ666GqKtPT08zPz9PR0VHSlOJCShFLoyFjamqK1tZWjh49uub92c7k42LU200sRnI/++MKD59b5po2J0sxhaSiYjevnYRw98E2VE1jKZKmxW3hk9d1YDdLhIO5nK7xN8U8FSrBenaQRtvq6ioBh8ORL9o3mUwVM0W6UjGZTMiyTFtbW16QC3PpxpTewhRFoRgXm1ShadqWT1qKolQ8v3wpuSpFVxAE9u/fv6E4bNcroVBsBwYGqK2t5bnnnqt4RFPoZtbe3l622BpsJLqGSbnH46GhoWFDe8pihjebYUzRSCQSuN3u/IFlrGd8TvUOE+/a2UCj00yL20KdvfiBUmc38fSon+c8QT5yuI3+xsqLa7mf43o2h8Yl+MjICOFwmOXlZTKZTN7MpbBK4HJGfZea1Zte6+XSVVVdd1JF4ftjNpu3tYlWapv7lcBVKbqwubPWVp3GIpFIvuh8dRutsZlWiZSFpmkoisKxY8doa2tbY7BTLsVE1xgDPzY2Rk1NTUlTLsqJdA0T9LGxMerq6rDZbPj9fqampvKX42azOR8B2e12uupymx3Gv+txpKeWmWCSi8vxSyK6lcK4BDcGhBrvb2FUPDMzk/cCMfwDXC7XtuaTlUMlr1wMSq002GhShfH+zM3NEY1GSSaTnDlzZsWJqpSNzavJ7AauYtHdjHIj3Wg0mjeiWc+zoBKiW3iJD7kawI2mBpfK6uqKQCDA6Ogodru95GGZUHqka6zvcDgYHh7On+QKc5yZTAav10ssFmNycj56T90AACAASURBVLKsTSq7WeJj13ZwqfSo0kK0OnJebeYCrw+LjEajK/xmV0d9lfg+bPTcKsF263RNJhN1dXX5Mq9oNMrMzAy9vb0rqkwSiQSiKOYbPQojY4NKNEZcTq5a0S2lK60U0S0U24GBgQ1r/Yw1t2IGXTjIsrGxkSNHjnDu3LmKVldompa3cpRlmb1795Y9ln2z3HAkEmF0dBRRFFesv3oTz7gcr62tJRKJ5NsqCzepCr1VjU2YwjpRaVXrbCm+weVQSSEqRdgKTdILWR31GXnRc+fOrThBFbpqlUOlR6Uba1baQEeWZex2O3a7fd0UReGVlMlk4vjx40xOTpLJZEgkEmWfsH76059y//33o6oqv/3bv80f/uEfrrg/nU5z7733cvLkSRoaGvj+979Pb2/vtl7rVSu6m7FZeqEcsTXYSp64MJ+6epDlVrvSiqEoCh6PB7PZXJaV42rWE7ZEIsHo6CiZTIahoaGSI4vV6200s2yjhgaXy1Wx9+pSsJ1ocnXUl81mOX36NP39/fnpxoWjg1bnije78tI0reLdY5WOnjfqRlsvRZHJZIhGo5w9e5aRkRHe/e53k0ql+OEPf1iSMKqqyhe/+EUef/xxOjs7OXLkCHfccccK34Vvfetb1NXVMTY2xgMPPMCXvvQlvv/972/rtb5pRXc9I3NDbA3rw3K6WMoRydVDH4eHh9eMaK+E6Y1RxhYKhWhtbWVoaGhb660+kNLpNOPj40QiEQYHB9ftwlnvACwlOi2loWFxcZFgMIiiKCQSiRXCs5UIsNKiUcn1DJE0or7CRpXsFlqfK212A5WfBLyVFmCz2cwtt9yCx+NheHiY+++/v6zj6fjx4wwODtLf3w/ARz/6UR566KEVovvQQw/xZ3/2ZwDcc8893Hfffdv+rK9a0d3sRa92GotGo4yPj6MoStlia1BKpGtsXo2Pj68Z+ria7ZjepFIpxsfHiUajW/LN3QxFUZiYmMDn8xVtOy6V7aQEVjc0+P1+gsEg7e3tayLA1XlRh8NR8ehuIyotuuuJ5FZan/9/9r48PK66Xv+dfUlmsu97JpOt6ZqklEUuIqVYuYXiBUoVleVSKyjKohWkVrxSQOCHiJdFBQQvoiyKt3LLKihLm3RvaZKZ7JlMksnMZPb9zPn9Eb8nZ/btTJfQ93l4npJOz5w5OfOez/f9vp/3Q74Lp7K1KtMW4NraWgBI6eEyOTmJmpoa5v+rq6uxd+/emK8h96PJZEq7BRg4jUk3EYhPl022KpUq7ZxZcsx4pEsm7Mrl8qhDH8ORjrzAzmBQqVRMB97k5CQnky1IPmlPTw/TpZZJlcS1DgsgagUYros6nU7QNA2ZTMbIE9l0C3BJuunY2eKtFIxGI7xeL44ePcro51y0PnMJcl7pwGKxpDWBJdp9GX4dknlNqjhtSTfRB/d6vTAajXC73RmTLUGiselisRgdHR0RGyWpHi8aSD6CwWBAQ0NDRAZDpp1k4a6KdP3C4eDyyxzvWOG6KBDqFmB7REUiESQSCTweD+x2OyceWi4fLFzJAaQyo2kaFEWhubk5IgoyndbnTBoZYiHTScDprPSqq6sxMTHB/D/xykd7TXV1NQKBAKxWa8ZcctqSbiyQcTVerxcSiQTd3d2cHTtcJ2ZPhUhnuGQypMvuVIvXFpyuPsze6CsuLsbq1avR29vL6dI8Gz7RZBDLLUCsbE6nM8RDG046qXaWnQh5IdPjpdr6LJFIIqriUzHWMR3S7e7uhlarxcjICKqqqvDSSy/hxRdfDHnNhg0b8Lvf/Q5nn302XnnlFVx44YWf3Uo3HA6HA0NDQ/D5fEwHWbg+kymEQiFcLhdjm4o1FSJZxCPdYDAInU6HiYmJpDrV0tGHTSYTtFotFApF1I0+LpANeSFTiMViKJVK2Gw2tLW1AVjoLGPbknw+HzOVgcgTJyJPIBtdj4nOOZXWZ5qm4ff7MT4+nvYDKhwnI0tXKBTi8ccfx7p160BRFK6//nosWbIE27dvR1dXFzZs2IAbbrgB1157LTMC66WXXkrrHEPeN+MjnCSQm5KQrdfrhUqlCmnR5PrL7vP5oNfrYbFYoFarMzZkR5swTNM09Ho9RkdHUVZWlnSnWiryAtvLu3Tp0qTlkHRwKpJuNEQLdyGkY7fbEy7FuUQ2Kt10KtNYrc9kn0QkEsFsNmN8fDzj1udM5YV0s3TXr1+P9evXh/zs3nvvZf4slUrx8ssvp3XsWDhtSZd4GaORLdcgxO5yuZCTk8NZ6I1AIIDH4wGQWj5CNCRDuk6nc37WWSDAyUODDZ/PB6vVCoVCEfKQ4Jp0TySBs0kn1lKcNHiQbN7wBo90KtZTffw6CX8Kz6uO1/ocLtuEX5dMKl2Xy5WVbN9s4bQlXaFQiLq6OuTl5WVt55V4YN1uN5qamiCRSDA0NMTZ8cmwS+LnVSqVaS/z42m6bHuZWq1O6gGV7BKXoiiMjo5ienoaCoUCw8PDjG+UrQFysWQ+VXy10ZbiPT09UKvVUW1bqTYznAx5IdXjRfsMmbQ+x5sEHA/kIXw6hQmdtqTL4/FQUFAQt/IhOQKp/kLcbjeGhobgcDiYGWE8Hg8ej4fTsekulwt6vR5erzcpi1k8RNN0SZeayWQKsZclAqlO4702GAxicnIS4+PjqKqqwllnnYVAIMAE5rjdbjgcDthsNrjdbvT29kIoFDLaqEKhiDq19nRFPNsWIeKpqSk4HA4Eg8EIK5tEIslaM0MwGOTUn5sKiSfb+ux0OrFv376QQKCcnJykG19OtuUtFZy2pJsMiCk82WU6e+ijSqWKGozOBemSUT8URSE/Pz8tj2E42PICRVEYGxvD1NQU6urqoFarU/oSk2NF+zc0TcNgMGBoaIhxO4hEohAbEY/HY7y0xcXFsFgs6OrqYnzTDocD4+PjzPKTXfEkM6WBC5yo0PFYzQzkoWS1WjE5ORlS/ZFCgiuXANdtwFwcL9zi53A40NXVFfKw1uv1CVuf062QTyYWNemSBolEpOv1ejE8PAyLxYKGhoaY3VeZZiU4HA5otVoEg0E0NTVBIBBwJleQSnd8fJypPrnO5p2bm4NGo2GSxdgySDJtwCKRKGL5ScJM7HY7ZmdnGXlCKpUyVSBp9V0sYD+UojV46PV6uFwuHDx4EDRNJ6WJxgPXlXM2LGNA7OsSq/X5+PHjOHLkCPM9amhoSOtz3nnnnfjf//1fiMViqFQqPPvss1EtaPX19VAoFBAIBBAKhdi3b19an/O0Jt1EmzSJKlOfz4eRkRGYTCbU19cnnBycbmVEtGGPx8NYT4B5GSPT7AVgofXYYrEgPz8fZ511VkbVYvh1JQ8LmqZTTi5LdM2ihZmw21rZrb4EU1NTizIYnFR/brcbeXl5qK6uDhmlHt7gQUg4kVSTDU33RPq4Y60WysrK4HQ60dPTg+9///sYHh7Gzp07cckll6T0/mvXrsXOnTshFArxgx/8ADt37sQDDzwQ9bV///vfM2oBBk5z0k2EWElj7O6u+vr6lJffyYItV5CwGDYJkY20dEHTNOO1VSqVkMvlUKvVGZ83qXQ9Hg8GBwfhdDqhVqs56epLBrH0UaPRCL1eD7/fH9HUwK6Kk3ngnMozzdjnFj5KnYBtZRsbGwsZHcQmYyL9cB3DyLVGnOr58Xg81NXV4ZxzzkF/fz+ee+65tN//4osvZv68Zs0avPLKK2kfKxmc1qSbaqYue+hjbW1t0kMfUwW7go4XFpNJypjFYoFWq4VEIsHy5cshk8nwySefZHrqDEZGRmCxWKIO/TxZEAqFkEqlTLgJENrUEC2fl5Bxulm0JwPBYDChw0EsFqOoqCjq6CDSyDA6OsoE3ZCHKBdZC1xXupk2RnBpfXzmmWdw9dVXR/07Ho+Hiy++GDweD1u2bMFNN92U1nuc1qSbCGQjjd1KW11dnTHZxqqSAoEARkdHMTMzg/r6ejQ3N8e9udPpImPrwum0HscDmRJsNpuTGvt+KoDd1EB8o7HkCbZN6VRu2EhXg43V4HHkyBEoFAq43W7Mzs4y0xjCVwjJEt+pRrrJtABfdNFFmJ6ejvj5z372M1x22WXMn4VCIb7yla9EPcZHH32EyspKGAwGrF27Fq2trTj//PNTPufTmnSTSeo3GAwYGxvLaGOJjWgje5LNR0j1/NkgNrZsLPVpmsb09DSGh4dRVlaGkpISlJeXn3KEm2yjRSx5gm1TMplMjHuAHZSejnuCawLnMlCGx+OBx+OhuLg4ZDOSoqgQTzGZCxhtgkf4uWRjakQmsY7JkO4777wT9+9/97vfYdeuXXj33XdjXnsShlNaWoqNGzeip6fns0e6sUByC0ZGRiCTyTIe+sgGkSyEQmHK+QjpgEQ5zs3NQaVSoaSkhNNlMlsT7urqgkQiwbFjxzjZ4DvVwLYp5ebmwmg0QqVShQS9RBsfpFAo4soT2QhEz3ZHmkAgCMkqJu/LXiFMT09HtWxxbdPKpNK1WCyoqqrK6P13796NBx54AB988EFMr7zT6UQwGIRCoYDT6cRbb72F7du3p/V+i4p02fGEZWVlaG9vh9Fo5IxwgYW8BLPZjJGREZSWljJeVS7B1p/r6+sjohwzhc1mg0ajgVAojGjMyDQm8nQAIcpYS3J2KDibfNjNHcQ9wTXpnqw24GQbPMxmM5xOZ0T+BLvBIxVkmruwZMmStP4twS233AKv14u1a9cCmN9Me/LJJ6HX63HjjTfijTfewMzMDDZu3Ahg/nps3rw5ZZcEwWlNuuQXTEJixsbGQgz7drudk2BvApKudOjQIZSUlKScj5AMiK6q0+k40Z/D4Xa7odVq4fV6Y846S3YiMBs0TTM98KeaLJEqkpEndDpdSFC61+uF2WxmHAOZ4FRrAw63bLndbixZsoS5HtEaPNhWtkSEmkmla7PZMt5IGxwcjPrzyspKvPHGGwCAxsZGHD58OKP3ITitSZdM2B0ZGUFRURG6urpCSJCrDjJizWKPaA8P+8j0+ACYz5JKuli0Y0X7wrJlimj2NTZI9ZYsiEQhEAjg8/mYFC5SQXKleXK9hE8VsYLSbTYb+vv7QxwDEokkZJMqlfCbbMw0y0b2glgsRk5ODsrKypi/Y3cdxgu9YU/UDgQCaT+o0s3SPZk4rUnX6/XCYrGETNhlI9FE4GQwNzcHrVYLqVSKZcuWYXJyklM9i8/nY2ZmBiMjI8jPz8+oeo621GW3BCcrUyQrLzgcDgwMDEAgEGDp0qUQCoXg8XghmzRTU1NwuVzo6emBXC5niDjdDNZTbQQ7n8+HXC6HVCplPNLs6Qx2uz0k/IZNxLHmuGWDdLlEPM05WtdheIMHiYIkWcVutxv5+flpfe50s3RPJk5r0pXJZEwIdTRk0rZLgsr5fD7a2toYzY+r6hmYJ3Sn04np6em4AyyTBbGgEfKdnJzE2NhYypt8iVwCXq8XWq0WTqcTLS0tyM/PZ7JngchNGrvdjs7OTuaLR0LCyWQCNhGfTn5agvAHXazpDEQbtdvtIXPcyMOIbWc73a5BPMRq8CAPJqvVCqPRyFi6Uml2OUO6pxjSuXHJuJ9YmbOZdpEB8ySk1WoBAEqlEs3NzZzkgRLSJTPbioqK0trki1XpEh+ywWBIuWmC/cUrLy8HsFAR2u32CD9tttPITsYgyWjtrKQKtNvtzMPIbrfD4/EgLy8vZGLFYiJiAExWscFgQFVVFZRKZdSsYiLXsOUJ0uDhcDg4D5HPNk5r0uXyJnS73RgcHITL5Yrrgw2fk5bqe2i1Wng8HqjVahQUFODIkSMZheiwEQwGcejQIeTk5GDlypVpE3m4pkvTNHQ6HcbHx1FdXR2zaSLVdlN2RRi+YRXe4srj8SAWi5mw9Nzc3FMmXSoTAo9WBR4+fBj19fXMdYiWzUvcE6fKNcgEbN97rLFBbLnGYDCgv78fDz/8MHw+H5588kmsWLECy5YtS7lZaMeOHfj1r3/N3H/33XdfxCQJYN5Wduutt4KiKNx4443Ytm1b2p/3tCZdIDnDfLwvhdfrxdDQUMx8hHAIhUJmcyBZ+Hw+DA0NwWKxRLxHJq3ABE6nExqNBk6nE+3t7SEbG+mAuBdIkM7g4CAKCwtjVs00TTOvZ2vofD4/LTKKlUZmMBgwOTnJ5NKyE7gy0YkzRTbkAKlUiry8vKjyRPiY+XjXgOvGjWx08iVyL0STa5YuXYq1a9di/fr1EIlE+J//+R/09/fjhhtuSPn9v/e97+GOO+6I+fcUReHmm2/G22+/jerqanR3d2PDhg1ob29P+b2ARUC6iRCtgwxIPh8h2vGSlRfYbcENDQ1RU8wykSvIA8Nms0GtVkMoFHImU7hcLuzbtw8SiSSm3kzIljw0RCJRCAHTNA2LxQK/3w+/3w+apiEQCELCXJIFqfJycnLQ2toKIHSDhq0TJ5O7cDLkhWQRa0MpnjzhcDhgNptDtHKyDCe/Dy7OMRubfOn6dMloqHQzEJJFT08Pmpqa0NjYCADYtGkTXn/99c8u6SaqdImDgR16TJoO0gn4FgqFCeWAYDCI8fFxTE5OJmwLTqfSDQQCGBkZgcFggEqlYh4Y09PTGVfNbrcbk5OT8Pv9WLZsWVQPZDixklZT9mciUgpFUVixYgXTwUf+LQDmOpJ/T5oVkkUsnThW7gJbJ+Z6btvJao6IJk+wB2parVb4fD709vZyIk9kI0s3XR+x3W7nJHvk8ccfx/PPP4+uri48/PDDERtz5HtMUF1dndGk8dOedBOBuA0oimKaDlLJR4h1vGhgT/ItLy9PymubSugNaTseHx+P+hky6STz+/0YGRmB0WhEYWEhxGJxBOGyJxqwO7qiHcdiscQdGMomYC6JOFZjA3to4tjYGKxWK6MVsqvidOd0nSrz24DQgZoKhQIOhwPLly9HIBCA0+mE3W6HXq+PkGjIdYgn0WQzwDxVkPzoRIgXdrN161bcc8894PF4uOeee3D77bfjmWeeCXldtAd0Jr+f0550k4l31Ov1MBqNqKiowJo1azJqC45mQ6NpGrOzs4xjIBWvbTK2Nvak4JKSkpifIR2LHLsDrra2FmvWrIHBYIjQrdlSApsQ2cfR6XSYnJxEbW0t1Gp1woQ1cs7sY7DfJ5yIKYpifp7qAzN8aKLBYIDD4UBRUVHE/LLwAJxEv8tTjXTZYFeRQqEwIm+BPTiSeGjJtBW2bYu4BbJBuul+Vq7Cbgj+8z//E5deemnEz6urqzExMcH8v06nY8Jv0sFpT7qxQLrVpqen424CpYrwStdsNkOr1UYdYZMMEhGl2WyGRqOBQqGI2QRCkEqly551VlpaGlKVsyWbcN02nGzJZtvQ0BBKSkqwevXqtL+U8YiYhNFUVFSAoigEAoEQbTgdnZjP50clIbZOTDrM4unE2dhI4+p4iRwl0QZHEnmCSDQkDlIgEDBxqVw5SDKRebjI0p2ammK6S//85z+jo6Mj4jXd3d3QarUYGRlBVVUVXnrpJbz44otpv+eiI11SdQ4NDSE/Px81NTXIycnhLJCGkCS7eSLVETbhx4tmQbPb7dBoNODz+Vi6dGnENNVoSJZ0LRYLBgYGYj4oyHFIZQlEki2w0EAilUqxYsWKrMwxc7vd0Gg0EAgETFg7uwImunL4z/h8PkPAsQZsRiO2dHRiPp+PQCBwSnaSpXNObHmCLQ8FAgFMTU3BaDSGrAzC3RPxCgMuzo+Aixbg73//+zh06BB4PB7q6+vx1FNPAUBI2I1QKMTjjz+OdevWgaIoXH/99RmF7Jz2pMv+4pB8BOJTlUql0Ol0nI5Nd7vdcLlcGBgYiBkYkwrCK12PxwOtVgu3243m5uaUbqpEpOtyuaDRaEBRFNrb26NuQpDKw2w2Qy6XM2OA2NfZ4/FgaGgIHo8Hzc3NnAapE5Dx8VarNeI6RCNT8rlJVU7TdIj2DCCqLJIMEunEBoMBdrsd+/fvB4/HC9FHT7afmMv5aGRyR35+PhoaGgBEyhNkhptYLA65BrGmVZzssJsXXngh6s/ZYTcAsH79+qj+3XRw2pMusDC6RiwWo6OjI6QqTMdXGw1se5ZYLEZ3d3fGxwQWSJeQjMlkQlNTU1q5ubGkCrZPuLm5OermFnuTLC8vD/X19SHGfDIIkZjU1Wo159m+wPyXeHJyEjqdDnV1dQmnbxDEqmqjbdjRNA273c7Y9dLZsAMWdGJg/j5rampicidIRRzNT8xFElmyyMZ8NPbxoskTAEKaGdjTKsLdE5loxBaLJeQheLrgtCddk8mE4eHhmKNrMs1KYO/qEz8vl7PIeDwe5ubm0NPTkxLJRAOfzw9pTmBPtKiPM+04fJOMz+ejpKSEuaFpmmZGu5PKZXh4GGNjYwyJKJXKjKfzkpUK2YzkIgc5XCcmIT0SiYSxAWXqnGBX09HCwdPRibnCyRq/Hk2eCA9CcjqdzPy20dHRkI3LZK6DzWZDU1NTRp/nZOC0J93i4uK4S4x0k8bYhEV29dk3b6abJ8ReNjQ0BKFQyMnUCSIvsCMviWMj2rETbZIB80RI9PE1a9aEVGiBQAB2ux02mw1jY2NwOBxMNUOIOJnlNemoEwgEWLZsGScNHuHw+/0YGhqC3W5HS0tLSJspkNjCBsTesEt0L6SqE3s8HkxPTzPL8kxIMxukm27XX7QHkslkgsFggEwmg8ViiZAnyL0ULaf5dAy7ARYB6SZCqpUue/pErHQucsx0lojs1tqCggIsW7YMo6OjnCwBBQIBnE4n9u7dC6VSGdO6lgzZsolw6dKlUYlQKBRG5MuSasZms2FychJ2ux00TSM3NxdKpZKpjIVCYVzdliuQtLWJiYm40ZaxnBPkM8XbsEvHGx1PJ96/fz+8Xi9MJhOcTmfIg4wQUbL3C5eaLjkel3JFMBiEVCpFWVlZSPs6kSfIGCW32x2il5Ns6EzumauvvhoDAwMAFjy/hw4dinhdfX09FAoFBAIBhEIh9u3bl/Z7AouAdJPx6SZDumwvLHv6RDQQ7TRV0rVardBoNMzYdLlcDo/Hw0ngjcPhwPDwMHw+Hzo7O6O6HRJ1kgELYed2ux1qtTrlmzrW8trpdMJms2FmZoYJ/aEoCkVFRVCpVEm5M1IFyUIuKChIS65ItGFH0zTcbjf0ej2KioqYFVW6jR3A/MpMKBSirq6O+Vk8nZjdZRftfsy2ppspYm2kxZInnE4nrFYrnn32WfT29uLw4cNYsmQJ1q1bl3Luwh//+Efmz7fffnvcFfPf//73kByMTHDak24iJCMvkMkHCoUiKa9tqtUzcQ0EAoGIpW0mmb/AfEUwODgIh8OBiooKuFyumIQbr5OMdOxNTU2hoaGB05ls7DlkJpMJVqsVFRUVKC0thcvlYjy4fr8/JOhcqVSmZD8i8Hg80Gg0CAaD6OjoiDlsMN3PQjA+Po7p6Wk0NTWhsLAwpjxBKuJkiDjZIZLhkZCxdOJouSOZ4GROAmYnkD377LO49NJL8fLLL8NiscBsNqd9DjRN409/+hPee++9tI+RCk570k1mCkIsA7bVaoVWq4VQKEzaCwskT7o+nw+Dg4PM8jmaayBd0qUoCqOjo5ienoZKpUJ7ezusViscDkfI65JpbpiZmWFalzNpbogHp9PJ+JrZum1eXh5jTieVo91uZ/Q9r9cLqVTKkHC8ybxkSobBYGDS3LIB8pAuKyvD6tWrQ0gylQ47YEEnJsdIdq8gVuZCuE5ss9mYeYFs+1a6kkM2Kt10H4p2ux2FhYUoLS3N6Bz++c9/oqysjJn8EQ4ej4eLL74YPB4PW7ZsyThg57QnXSC5eEc2CAEEAgE0NzdHbKokQiKiZIfqJEowS/Xc2RMhqqqqQvIX2OE5yei2xGqXm5uLVatWZSUWMRXdlsfjQS6XQy6XM/oeyUew2WzMxAWPxwOxWByiETscDmbjMJwIuYLH42E0QNKoEQ+JWp3ZOjG5n8iMOfJ7yzR3YmhoiJm+QKpikk+cjk58ouSFZJCMdBIvd+Gyyy4DAPzhD3/ANddcE/MYH330ESorK2EwGLB27Vq0trbi/PPPT+ucgUVCusmCmPodDgeamppihrEkQqxKl3hMx8fHIwgxFlJZwhuNRmi12phtzSQ8J1EnGTsBrK2tLSvJ++n6bcPBzlJlVzRk4oTRaER/fz9omkZOTg6z80+aOrgg32AwiLGxMczMzECtVqd93wDxN+zIxI/S0tKQvIlkOuzinbtYLEZBQUFEPnE6OvHJlBfYSLZQSZS7EAgE8Nprr2H//v0xX0NyFkpLS7Fx40b09PScId1kqsX+/n6YzWZmKZ6JXhmegcvOMSguLk57km8s2O12DAwMQCQSxc225fF4jH2LaF/sL6jf78fo6CjMZnNGD51EyIbfNhx8Ph9GoxF2ux0rV65EXl4eM2nBZrNhZGSE2flna8S5ubkpkRZxmhDpJRsVNEVRzOYiu7mH3V3HroZT8RPHsoylqxP7/X5Or0G6lS75vme67/DOO++gtbUV1dXVUf/e6XQiGAxCoVDA6XTirbfewvbt2zN6z0VBurFAND6n08lUnlxsDrEzdefm5qDRaNIOvIkHdktwS0tLzN1VskkmEomwdOlS2Gw2TE1NQavVMqlZwWAQdrsddXV1WL16NecmfCC2bssl2Bawurq6kA2/aBMnyLQFm82GiYkJRvMOt7CFV1tut5uZdJytXAnipx4bG0NDQwPKyspCfi/s6pYgnp842oZdKpaxZHRil8uFAwcOMB2KmerE6W70ORwOTtrPX3rppQhpgZ27MDMzg40bNwKYv5c2b96MSy65JKP3XJSkS2IGJyYmUFVVheLi4oRjeFKBUCiExWLBgQMHACCjwJtoCAQCGB4ehtFojNsSHE23Zc+XIhX44OAg5HI5CgoKMDU1hcnJyZAGBuKbTRds3ZbMfssG0rGARZu2EL60Jk4HEulIBiM2NzfHnJWXKcjqRaFQpLQaSEYnJvdDIBCA2B1UsAAAIABJREFUx+NhquR0LGzhOrHJZEJ3d3dIClkmOnEgEEhLXrBarSnvxUTDc889F/Ezdu5CY2MjDh8+nPH7sLEoSJcdsTc9PY2RkREmZlAkEsHhcHAWeuPxeKDT6eB0OrF8+XJOCIa9cUJCyqN1wREks0lGUsqkUik6OztDKrVovllCOoSElUplQiLgSrdNBFLxBwIBTixgsZbWOp0OY2NjkEqlEAgE0Gg0ERa2TDcbyQPVarXGbF1PFdGImCTJ5efnIycnJ0KiyGR0EhCZTwykpxOnq+lyEet4srAoSJd0eWm1WuTl5UXkzpIM0EzAzmAoKytDTk4OZxUdn8/H9PQ0RkdH44aUJ0O27AQwtVodtRpg65wEhIjJtNWhoSFQFMUkjREyJl+YE6HbnigLGEmNE4lEWL16NXPv0DTNaJxk/pjP54NMJgtZJUgkkoQPG7LqGB4eTirkPV0EAgGm3Tl8BRYtiS1a7kQ6G3ZAejqx3++H1+tN6hqykezUiFMRi4J0dTodjEYj0+UVDtJymg6CwYV5Z6T6JCNfuADx1hoMhpiacDKdZMS3Ozs7C5VKlbKcwiZisltL0zRTERMi9vv9TAt0fX09iouLOSdckok8PDyc9Q2skZERmM3mqLIIj8djErTCMxPI/DGdTgePx8OMxiFELJPJmOvvcrnQ39/PrDqyYc1j50jX1tZGXXXES2Jj31/xNuxSRSKdWK/XY2BgAF6vN0QnVigUMeMgAW6ydE8WFgXp1tTUxB2fkU7SGDs0JnzeWaZdZMD8F1Gr1cLv90OpVEKtVsck3HidZOzNmKqqKk4Jit3rXlJSguHhYVgsFtTX1zNOCZJXnJOTw5COUqlMO7rQ4XAwrdIrV65MqyMtEdhVZ1VVFbq6upK+ZmyNM9zCRrzEU1NTcLvdEAqFzBQGlUqF8vLyrFS3ZNNPKBSmRerJbthZLBbweDz4fL6kO+yigX0NR0dHsXz5cgAI0YnD8xYIEZNhmmdI9yQj0Y0sEong8/mSPh6RKvLz86OGxmQSF0nSrubm5qBWq1FcXIyjR49GnbuWSEowm80YHBxEfn4+urq6spLRSgKAiFuAXUGxO8lcLhdsNltESy9bmohHBmQzzmazcRIOHwtOp5OJduSy6pRIJCFxmOx7SCqVYnZ2FmNjYxAIBJzFYZJV2PT0NOebfmydmNyzPp8PHR0dzMMkmQ67ROfPvqcT6cSTk5NwOp149NFHMTs7i6qqKrz77rtYuXJlUp/95Zdfxo4dO9DX14eenh50dXUxf7dz50789re/hUAgwGOPPYZ169ZF/PuRkRFs2rQJZrMZq1atwgsvvJDW/cNL4G/lbk51FhEMBuPKBwaDgdlZjwebzQaNRgORSAS1Wh1zwyYQCGDfvn1Ys2ZNSudIZIr6+npUVlYyN9zx48dRUVGBgoKCpBPAiDWrqamJ02wBNti6bX19fUoyAlsPtdlssNlsIdkK7IqYbQGrqKjImtY5MjKCubm5rCWaAQtdazweD83NzRGrFxKHSa6Lw+EAj8eL8BIn2lyyWq0YGBhgfjfZaN0mLeIjIyNRLW1A9A47NqfE27Dz+Xw4fvw4VqxYkdJ5eb1e7NixAzRNQywWQ6PRYNeuXQnvm76+PvD5fGzZsgUPPfQQQ7rHjx/HNddcg56eHuj1elx00UVMwh4bV111Fa644gps2rQJ3/zmN7F8+XJs3bo11tvFPJlFUekmQqLKlCz1fT5fUlUWu902EYijguiT0aIiiVyRqJMs0wSwZMGF3zaWHup2u2Gz2TA3N8d0B0okEpSXlzMrEi4lBTZx1NTUoKmpKSukzq4643WtJROHSXb92W4Sdhzm0NAQnE4nlixZkpV0NmBesujv74dYLI67iorXYZdow87n86X1sCCbbhs2bMDFF1+c9L9ra2uL+vPXX38dmzZtgkQiQUNDA5qamtDT04Ozzz6beQ1N03jvvfeYgZRf//rXsWPHjnikGxOLgnSTkReiVcLsMTbki5LMFzLZLy1pnFAoFOjq6opKJkSrNZlMEIvFUcOayRc6GwlgbBCHBrkeXPttSbYCn8/H7OwsxGIxzjrrLPD5fCbkZnx8HD6fD1KplKmG000bI1MiZDJZ2lLCp3o7fvrGAH7+5SWoKYj+8CG/Z2JT5GrXP9zW5/V6EQgEUFRUhLq6uqzISTRNY2JiAnq9Pm3JIpnRSYFAADqdDhKJJK1ITJvNxlnRMTk5GbJqra6uxuTkZMhrTCYT8vPzmdVetNcki0VBuokQXukSKxIhsVhjbNIFCQCnaTpu4wTZJKuoqGBM+mQnnFQ4Pp8POp0uqwlg4V1e2bIzkWkcMzMzERaw8JAbj8cDm80WkTbG9hHHshkR2xQX+rBUxEdhjhivH55GRZ4EX165sGHr8/mg0Wjg9/s578Bju0lI1SmXy1FVVQWPx8PYr7iKwwTmvd39/f3MXgbX9xohUpvNhoGBAVRWVqKqqgrAQlWc7OikWFMjkgm4CUc0iTX8vkrmNcliUZBuMpUuGZFNpkJUVVVxMiKHDRLlSL7ssaqEcN1WJpNBpVIxf+/xeDA1NcVogwKBABaLBcFgMKPKLxrMZjO0Wm1W/bapWsDYu9vhREy0UJ1OFzX2cW5uDmNjY6itrUVlXSM+GjKjLSBCXdGC7u2ngnhvwIjzmgrx8dAcHnl3CM9/YyVKciOv6ZFJG67srMSLvZMYNgrw5ZWVoGkaOp0OOp0OKpUqKwM6gVDJoqWlJYRkuIrDBBasc3Nzc5w1bERDIBDA4OAgXC5XREpbMh127A27mZmZqJVuooCbaKiursbExATz/zqdLsINVVxcDIvFwmRFRHtNslgUpJsIfD4fbrcbe/bsQVFRUdypEMmCdJGR/naSbRsvyjGZTTJ2AtiqVauQm5sbEm9otVqZL5ZMJgtZgqeyfD4ROQkAdxawaFYt9nUxGo349NNPQQP4+WE+moZ0ODI9CKMriI5KBf5448JO9fEpO376fxrs+FILqvKlEAp4eOv4LL6yOjL05LVDUyjJleCpzcvAw0KVlp+fn7WVB7DQUZZIssgkDlMulzPSSGVlJbq6urLy8ADml+cajQa1tbUJ5bF4OrHH48EjjzyCiYkJzgqPDRs2YPPmzbjtttug1+uh1WqxevXqkNfweDx8/vOfxyuvvIJNmzbhd7/7XczKOREWhXsBmK8yo30Wi8UCjUYDu92Oc889l7Pgkp6eHqxYsQKzs7MYHR1FZWUl6urq0m7bTTUBjL0EJ//5fL6ENq1s67bs9zkRFjCyseRwOFBep8IbA1aMGh14t9+IErkABmcA9Qrg7BoZvtRWiHG3CE5KiIYyJdorFJhz+fHVZw7g8y1F+PLKSjQW50DAX/jdeAMU+DweEKSYDayWlpasxGGSz0MSx1pbWzl1pvh8PoaIrVYrLBYLaJpGaWkpCgoKOI3DJPD7/YwE09ramtH379ChQ7j11luxYcMGbNu2LeXC6c9//jO+/e1vY3Z2Fvn5+VixYgXefPNNAPPywzPPPAOhUIhHH30UX/ziFwEA69evx29+8xtUVlZieHiYsYytXLkSv//97+MRf8ynyqIlXYfDwWQKNDc34+jRozjnnHM4e789e/YwM74aGxtjDoBkL5OikS07v6C2tjbESpYq2O6AcJuWUqmEz+eDyWRCfX191qxZ4fpwNt+HNIWQ9/l0yo7v//k4frC2Cdt3DeAr3VXYuLICO3YN4JPhOfzp2mb84oMJjM95sK1LBLFYDAstw08/MKGpJAeDJje++/lGKGVCHJiw4vYvzEs+pEW7vr4eZWVl8FI0ZCJuK1ziciHvk61GCnZjSH19PYqKihjnhN1u5yQOk4B0McaymyULr9eLBx98EO+//z6eeuopLFu2LK3jnGAsftL1+/0IBoMhM8PUajWjq3788cecRDuSIBnS286e5MpGeCdZNGHeaDRiaGgIJSUlqKury5qeOjU1heHhYYhEIkYWYVfEyYTbJAOyqsjPz0djY2NWPg+wsMRXKpVobGxkKh5vgMK42Q11aS4c3gByxPPE+KsPRnB8yo4HNi6B1ePDbz+awJIKBarzRPjth2OQCYI4qHfhkjo+/m8siIYCEVwUH19qLcDhMSO2nlUMlUoFkUiEpz8cw4u9Ovzt5rOQIw79fGanD/3TDpyjSm3Hn90mrFars+JKAOaX5v39/YwPPZYcxY7DtNvtIXGYbJ04lrTi9XqZ/YiWlpaMGlAOHjyIW2+9FVdccQXuvPPOrF2bLGDx+3TJjvXs7CwaGxsjgsqJFzZdIvB4PMwmQHNzMyYnJ6PeAKkmgGUrqxVYGIjJ5/PR2dnJ6LbRMhUoimJ8oanGPbJTwLLpHfX7/czvgEy8mLR48KsPBvG9LzTijWMzeH6PDi/d0IkShQSHdVbs2DWAbZc04eZ/a8BP39Dg7xojxHwe3u4zoDhHDJPLj19c2YFrqCD+clAPD2XCWXX5OKvAhRePTUHv5DGjgBQKBVZUSOFZURG10v19jw7P79Xh7e+sQYE8MdGQiRQGgwEtLS1Z812Tjb/JycmkJl9Ei8MMBoMMEYfHYZL7JTc3l3FVkEjSdOH1enH//ffjww8/xHPPPYeOjo60j3WqYdGQ7ujoKCQSScw4ROJgSJV0SScTCZIpLS0Fj8fDzMxMxPQILhLAuEAi3ZadqUB2YNm+0OnpaUaaIWHf0aob9hgbsoufLqZtHrzdN4urO6sgFkb6O/f3j8FnmUJjQwMq61UYmHVBaLFCa3DiwLgVFpcfquIc+IM0juptuLClBAcnrNAYnPjPFw5DLOTji0uK4fRSkOWKQPt5cPgo+CkaM3YffvPhGDQzDtAAzKZZVLQ34RsVCtzyx6Nw5FajoUiEPp0Je0fmcHZZEAf2m0M66+RyOb6+pgbnNBYmRbhkA6u0tBTd3d1ZCfQB5mW2vr6+jG1gfD4/JKsZCE2mm5qagsFgAI/HQ35+PtNpl04c5v79+/Hd734XV155JT744IOsrZhOFhbNp1Gr1XFDaEg3T7JVJdFaif0onMzJyJ5kyJadANbY2Jg1ixFbT001PpCt47G9k06nE1arFXq9Hg6HgyFiPp+Pubk5zgZBHtbZ8PxeHT7fXIxqVhOC1WrFmz3H8czxAH58aRtyCvJw5dP7IBbyUVsoQ9+0A2vbSqAuzUVtoQzNJTl45eAU/FQQuZL5cwrQQMAfxOuHDQjQgN8axBfbS9A340Rxrhj/0zOBmz9XiZ27tTC6afx5GGhr4ePNY0MwOf14+L1RFMjFGDa5IBHycdMlqyEV0IxuPjs7C5fLxYwI1+tdTK5CtA1TjUYDn8+XVddIMBjE8PAwzGYzWltbs/KAJwliVqsVdrudyZeOF4cZz2Pt8Xiwc+dOfPLJJ3j++eexZMkSzs/5VMCi0XQDgUBc0mXnG8QD8ZQODg6iuLg4pjY5MjICkUiE8vLyuLotOwGsuro6axUN22+bak5CKrDZbMwgSLlcDpfLBQAhVV86Gy80TcPqDiBfPi/ZEM+z2+1GXaMa+6Y8+FxTIWQiAV7s1eGQzoYcsQBV+VJctqwcP941gDyZEB5fEJpZJxqL5Ph4xIwARYOiAbmIjzy5CDNWLwR8HoR8gOYBHj8NHgCFGLD75m94HoDCHBHsbj8C/+r2DgKoK5ThzotU8/ahlvnGDrefgjcQRL5MFDKjzWazMURMyMbr9TK2wkw2lhJhbm4OAwMDqKioQE1NTdbuOZfLhb6+PuTm5qKpqSlmFR3usbbb7UwTEE3TOHLkCPLy8vDII49g06ZNuO222xZDdbv4N9Ioioqbr0ASn+Itga1WK6O1xopaBBb6+TUaDdO+SZbf5AZnJ4A1NDRkbQOArduq1eqsVU7xLGDs7AB2iAuRJvLy8pJO02I3HjQ2NjJyTjj++4MRjJpdODhhxT1fbEHP6Bx+36NDmVIChVSIPKkQYgEfHw2ZEaCBKqUIFk8QXj+FAA0UyASYc88/pCV8wBcEJML5B6fbH8SqaiXObSrEc59MwO6df92Wc2uw61MD7B4KH995Hvg8Hr79xyM4OGHDO7eeDWkUndfv9zONIXumKPx9ksa2s+QoKViQbDJJGgt/L2I3a2try9q9QNM005be2tqathbt9Xqh0Whw77334tNPP4VUKkVFRQW+9a1v4corr+T4rE84Fv9GWiLECzJ3u93Mkq+lpSXmUowtJRQVFTGB5qRDym63g6ZpBAIBiMViNDY2cjqbjY0T5belaRp6vR7j4+MxR/JEyw6gKIqpbMbGxuBwOBgJg1TE4WQzNDmLv/Zo8MX2kpiNB0OzTjz63jDuukQNoYCHb/3hCF7aP4lHr+zAH/ZNQsTnYdjogljAwyVLyrCkIhdH9A7YPBR8ARpiIR8yHhjCBQDvv6pZT4AGqTMO6GwQCHj4zVdX4P7dAzikd+CpjybAB3DT5+pg8wSYSvufg2a8dmgKOosHVywvR1PpvIeXdJQZjUYsXboUgkoKU/wpdK1Sw+Oa189HR0dDbFqxrk0izMzMMDawbNnNgAWNuKCgIGNZ6dChQ7jjjjuwefNmvP766xAKhTCZTPB4PBye8amHRVPpJop3nJiYAE3TqK2tZX5GqjfSkBCLIJPRbUkCmM1mQ0VFBYLBIKxWK5xOJ4RCIVPxKZXKkKkCqSJct83E15sIXFvASKwhqYidTicEAgHkcjmcTif2TgXwxjgP/715GcoUUsjFoaT7D60R7w0YMWX14No1Nbj9lU+xfkkptv5bA+RiAS5+7GNQQeA7FzRg0uJGkUKCjwfN+GTUEnEuChEPdn/o7S0XAi7WYkkhEUApE4KiaEzbfRDwALGQj7e/vQYbn96HuiIZPtXb8YXWYqiK5Hj8H2MolAux+9tnw22fXzWVl5ejtrY2ITlFi3xMxi9LoiQFAgGam5uzMpUCmP9+jY6Owmg0oq2tLaNWYbfbjf/6r//CgQMH8PTTT6OlpYXDMz1lsPjlhUSkOz09DafTCZVKFZJtW1dXh6qqqrTJNjwBLJpW5/f7GaKxWq1wu91MqA35L5kNPqLbFhYWoqGhIWu6F7HH+f1+NDc3Z80CRtwPOp0OBQUFCFAUpuZc+OtwAAGeEN/5XBWMPiGqi5TY+dYgumrzMGR04edXtOOjQRO+9dJRdNXl49sXNOCm/zkM0DTqiuXon3Eydy4NIE/Kh9UTGsXJw8LN3V4mh3bWBX9YWid5jUgA+FnbBetai/FmvxFyEQ9FuRJcu7oafzkyjb4pB26/sB7defODUFtbWzNa4rNXC+QhxZ6k4PF4YDQa0dzcnNAGlglsNhv6+vpQWloas+syWXzyySe48847ce211+I73/lO1tqoTwEsftIlY1FiwWg0wmg0Ij8/H0NDQygrK4u54ZRMJxnp7BkZGUFZWRlqa2tTuoG8Xi+sVivzhYqXpUB0WxKMnc0db64sYIlALFPFxcURIdy9I0aYbQ4M6C14U2PDdW18vDFG48buYjSWF0DvFgACIQ5O2FCdL0W+TIRvvnQESyuVOKq3wx8IoihHCJMzAMKjKiUwZIt+LjweIBbw4A2E3u7lChGm7ZEPcj4PCNJAcY4I73z3HPgCQVzyy0/QkC/ClrYg1E2qmFp0pqAoivFWkzE7xEWQSgh6su9FRjS1t7dn9PB1uVy49957ceTIETz99NNobm7O+PxOcZwhXZ1OB61Wi9LSUjQ1NcXsmU7USQbMb7hptVrk5ORApVJxsqQjO7xsIiatzcFgEHV1daisrMxa1xrpjkt2OZwuSCMFRVFobm6Omy3w7sAsHnlnCI9euRR1+SKm6rv7zUlMWP2Y8867CmrzRBCJBFBKRBif88Dp84MKAjd0FuLJXjMAQMibt44li+46JQ5P2OD7F2vLRTz4AjQCNCAWAFQQyJUI0VqWgxm7F6uKKHxelY9/W9UKdwCgQUMp5XbzNBgMYmRkBCaTKcQGFm0jE0CIxzpVIiYOiMrKStTU1GQkh5Hq9rrrrsPNN9+8mKtbNj67pEuybf1+P/h8fshcpPB/n0oCmFqtzlroCdFtx8fHUV5eDolEwhAOu2EhLy8v46qGzAwTi8VQq9VZGQQJhMYUJltFO70B9IxacF5TIUSChYfAhNmFK57eB4+fAkXPV57lsvnq0+YHfBRA0YAgRaKNBbYUAQBn1SkxZPLgm+fV4t1jOnyi82B1rQLXn1uPgxM2vHpQD5lYgDe/fXasQ6YMkjpGVlWJHopsIiZaMbBAxEQrDr93SPyi0+lEe3t7Rqsqp9OJn/zkJzh+/DiefvppNDU1pX2s0xCLn3SB+SU7AZkKQWaj5ebm4ujRoxGkm40EsEyQSLdlt2OS8e3AvE+WbNQls/PNdj9kc2YY+Uyk+6quri6th4TTF8Av3hvGiuo8rO8ow/saI57+5yi0BicEAh6oIA2ZiI+mfD5yeD68q0t8TAGAeDOdlRIB8mRCnNdUhF1HpgEej7GP8QCUyQFngIf2CiU+nbJjw/IKfKA1YcbmwXmqQvz3NctT/pzhCAQC0Gq1cLvdGaeOse8dUhGzH+LkYU9WVZlUtx9++CF+8IMf4MYbb8TWrVs/K9UtG58NyxiPx0MgEIg6FYKMCCFIdpOMnQCWrflawMKcNgBxO5XY7ZjV1fP5r+wNF2JBIt1R7DZVHo8XYgFLtWstVXg8HmaCRnhodarYOzKH1w5OwWD3ob0iF4d0Ntxwbh14AB79+xCMdh94wQCu7azBrbvmA6kbC6Uw2L1w+umo1UM8wgUAm5eCJ0ChsXie6AjhAvPVyIwLUJXIsKw6D4NGF24+vx63f0GFrX84jOJcMSNRsfH0P8cwbfNg+5cS79gT7bauro6T6SaxWnktFgsGBwfh9XohEokwMTGBubm5iPlsycDhcODHP/4xNBoNXn311ZBw/jOYx6IiXb1ej+HhYVRWVkZMheDz+SETSxNtkhGNs7i4OGsTFYD5SoZsVqTrtxUIBBEBJWzHhMFggMvlAp/Ph9frhVKpREdHB3Jzc7M28YBsyCUTsJIMfvXBCM5tLMTDX27Hjb8/jIMTViyrVqKjTI6b2vn49RHA4BbgnnemQP1Lhx02Z+739FHAI+8Og89aEeaKeFhVmw8vReOo3o6GQhnkYgGGTS501s7/Dt7sM+KWC3woVYTKNTaPH55AfLr3er3o7+9ngoqyZQMDwNznbOdNrByOeIFINE3jn//8J7Zt24abbroJv/rVr7K2L3C6Y1GRLgB0d3fHvUnZm2TRbgq73Q6tVguxWJzVBLBMchKSgUgkQlFREYqKiuD1eplOpYaGBqbF1uPxhAyAzMvLy/gLbjQaMTg4iLKyspTN87/bMw6lVIjz1cW4940BfOeCRqhK5nfMN66oQH2RHAI+H3SQhqpYjsYcCq8dmkLd5+tQUWTH0OD8plm4BgsAMiHgjt2wGBMSPuD2B0E+hVLCR6FcBJrHQ6FcCJePwn1vahEIAj2jc/jJ3zS45YJ6iAX8CML1Bii8fECPDcvKo74XuSd0Ol3EDDmu4fP50N/fDx6PF0Hs8XI4yKDMwcFBUBSFQ4cOQafTMVLVX/7yF9TX12ftvBcDFhXpVlVVRR2NTipbhUKBPXv2MFmyRAMVCoVMDm+2E8CAhRbhgoKCrFbR4Raw8OaP8AGQZBIv+/ooFIqkWphJVx+Px0v7YXVg3AalTIhVtfnQzDhhcvoY0v3q6hrmdRaXB3NOLz5/VhU+mfKjR+fCmoZ8fDhoRmetAocm7QhS8+QrF/Ph9QfTIlw+FrrVyF1l8wZRrwjA5XThuD6A7holeidsWNdWjGu6qtA7ZsFP/qaBTMTHWQ0FkIkEmLV7MWpyoasuH1s+V4euusjVjNPpRF9fHzM5Olv3BDssPZX4RTYRE5Agp9deew1isRiBQAAbN27Ec889h+XLM9ezFysW1UYaCTIniKbbAvMEQaxZpFkhGAyirKwMVVVVIRkKXIKt26rVak5HsYRjdnaW8SOnYminaRoul4u5Nna7HRRFxYx4JJOVZ2dnQ0LjswG3242BgQFoLEH890E3tn6uHi/s1UEg4GHc5IKXonHt6ipY3AFoZhyYdXhhdqXBtv8CD4CQj4imiZVVuahW8PGW1oaa3HmP77qmHHRUFeCut6ehkInwHysrcO1ZNbC6A7j0v/dCKOBh9y1rIvIZSKfX7OwsWltbszbWCJjX2Pv6+iCRSDIOS7fb7fjRj36E8fFxPP3006irqwOwsJLk+qFx/fXXY9euXSgtLcWxY8cAzBcvV199NTNt409/+lPW2uHTwGfDvUCSxpLZJGMngFVWViIvLy8kBYlsOpBqmGxEpXteZNpqU1NTVomJWOREIhGampo4kUfYEY/k+gDzeRZOpxNlZWVQqVQnpGJvbm7GIx/OwOT04ZH/6ED/tAM3vHAIF6gL8cGgGS1luXjx+k4MzTrx5ad64AvOV6x8HkDT8xUrjcTOBYK6AikKc0Q4qLNDKuChpSwXDh+FUZMLAj5QVyhHY5EcV68sQbWcwodaIyrEHlBUEJagFB01Bfjlnjms6yjHpcsqQo5NbGBcdHrFA1u2yFRjp2ka77//Pu666y7ccsstuOGGG06IdvuPf/wDubm5+NrXvsaQ7ve//30UFhZi27ZtuP/++zE3N4cHHngg6+eSJD4bpOv3+5lR6/GaG5JJAAsEAiGtuy6Xi2ndJUScyNN6InMS2Bty2baAkfEyAJCfnw+Xy8VkBbD14UweVATEbsau2P+0fxJysQCXLi1HMBjEewMmnK8uwqzDh0AwiLpCOSbm3Ljsib3wBuadC3wsSARyER8XNBdhz4gZZtc89ZK/Z7+ONFQIecDz163Ez/5PC5PDh3e/ew52vqnF64em4AvS8AVodNbm4flvrGLO+6l/juK5T8bxi0urkQsP9o1bUZ0DlBXOW/qsViv8fj/a29uzuuJJNn4xGdhsNvzoRz/C5OQknnrqqZCMPE1FAAAfbUlEQVQckxOB0dFRXHrppQzptrS04P3330dFRQWmpqZwwQUXYGBg4ISeUxx8Nixjd911F3Jzc9HV1YXOzs6IUA4ydpzH46GjoyPuzS4UClFYWBhSlZLWXavVGqJ/EhJmzxo7Ubotu2LPtgWMoiimI6q5uTliKcd+UJHJuSKRKORBJZVKkzo/EvtHUVSE3eyqzirmz33TDvx41wDu/qIa6zvKmJ9/OGgEFaRRlCOCNxBk7F4SAUAFg9BbvQgEgZp8Caas3nn9Vwg4/IBUyIMnQCNIz5NwgAY+1JowYnSCCtJ46O1B/N+xGShlIhTmiPGVs6rR+q9ksUMTVsjFAlzdWYVjejse/MiEJzYtw/Nv78cNZ9dAlTtftctkMgSDQRw9ejRCuuGicuQqfpEc67333sPdd9+NW2+9Fdddd90p4UyYmZlBRcX86qGiogIGg+Ekn1FyWFSV7sDAAPbs2YO9e/fiwIED8Pl86OjoQEtLC3p7e3HxxRfj8ssv56wKDNc/bTYbI3GIRCIm2jFbNyjJ/w0f0Mg1SLD70NBQymHsZOw3uUYkvJr9oGKvGGiaxsTEBCYnJ5Pa6OmbtmPLi0dwx0UqxhVwfMoOvdWN9golKvOkeLFXh/t3axGkgcYiGSYsbtx3WStsbj8eeXcIUgEPTaW5EImE+GR4DpevKMc7fbNM/KNcNP9Z3f4gCuQCpjpuKpHj119ZgcIcEUZNLgzMOHDP/w6gszYPv/nqCnyqt2PU7MKXOsrQM2wEPTcJmWh+WCP5zLFaeDMJhWfHLzY0NGRU3VqtVtx1110wGAx48sknUVNTk/gfZQnhlW5+fj4sloUEuYKCAszNzZ2s0wvHZ0NeCIfD4cBdd92FV199FcuXL4der4dcLkdnZye6urrQ1dXFmZZGdFuz2czMHSMdY+xGhby8vIyiHQEwFjCfz4fm5uastSMDC23CEokkbmZFsqBpGl6vN+RBRVYMYrEYc3NzKCoqSnopTNM0+qYdaCrNgVjAh9Xtx9Y/HMGI0YV/X1aG9UvK8OBbWnipIKggkCcTQcCjsX/cCgCQCHioyJNiWXUe3h2YhdtPI0gHmVQxER9Y2zZP/HuGzf+abMHD5u4q7Bu34p71zegZteCRd4fwrfPr8VbfLH54SROq8+XM+R0YGMPLveO4+QstqKksi/YxQhCeLpZMFjEQGr+Y6Ygemqbx9ttvY/v27bjtttvwta997aRXt4tFXljUpBsMBvHss89i8+bNkMlkoGkaZrMZvb292LNnD3p7ezE2Nobq6mp0d3czZFxQUJA0KSaj25JlNyGZcH04WX9seH5BtgLSgYWEqbm5uaxrxMQz6nA4oFQq4Xa7EQgEQpbdXr4UG5/eh2+cVYMt59fHPNZXntmPI5M2VOVL0VVXgFGTC05fAN5AEAqJAA5PAGtreHhn1Iv26gJ8MmKDWMCDzRtAQ5EcX1tTA6PDh3cHZtE/7cCqmjwcnrTj4rZivH5kBps6K/HDS5rh8VPY9Nv9sHsCeOKaZZiwuHGBuhgC/sLvw+l0or+/H0fn+HjuqAvPf30VagvT68pjZxGTsehkFJBSqQSfz8fY2Bgnm3IWiwU//OEPYTab8eSTTzJe3ZONcNK98847UVRUxGykmc1mPPjggyf5LBl8Nkk3GZDqYO/evdi7dy/27dsHu92OtrY2hoSXL18e1QXA1m1Tzbcl/lhCxj6fj+n4If5Y9vHYFrBUYyRTAYmsHB4eRnV1Naqrq7NG7Gw9OjyLmG3Gt9lsGJ+14q4P3bi0SY4bz66EUqmEwcPHkx+O44fr1CjOnX9ovbJ/Eh8MmvDgFUsgEwkwbfOACtLYsWsAU3MOyPkBaC00eDw+/n1pGV4+OAUhD8iXi2D3BvDhHechRyzE8Skbrvz1ftAAvnleLW75fCPsngCUUuF81xZN47G/D2PM5MaOS1uQJ1uQdtij1YkNzOkLIEfMra4fCARgsVgwOjoKh8MBkUgEsVgctf072d/Hm2++iR07duCOO+7AV7/61ZNe3RJcc801eP/992E0GlFWVoaf/OQnuPzyy3HVVVcxLe0vv/xyVp1BKeIM6aYCv9+Po0ePMkR85MgRCIVCrFq1CqtWrUJJSQl2796Nb3zjG5z5bYk+zI52pGkaUqkULpcLUqkULS0tWd3pdjgcGBgYgEwmQ1NTU1bbT+12OwYGBqBQKJK2m4Xrn4d1VvxJ48dt5xShqaIQLkhw65+1uOOiJgwbnTg2Zcf/+48OZpgmpEoY+Xl46h/j+NKyUmzursZlT/SCCgbh8M4nllXlS7H1c3X40tJyvNg7gf/6v0EoJAKs7yjD9vWRo4rCYbVa0d/fn3UbGDBfkfb394fEL4YPx2RvZpKNumhEPDc3h23btsFms+GJJ55gJLIzSBtnSDcT0DQNu92ODz74AA899BD6+/uhUqkgk8lC9GEuJ7wGAgEMDQ3BZDKhqKgIfr8/RB/mYvQP+72I3aylpSWrBn3yXlarFa2trRmNfSHHIyQza7bg1U9tOL9Wgn6bEGM2Gjcuk8DtdqOtrQ3vDTtw324tnvvaSrSWz+vg/9CacN9uLa5cVY58uRhTVg++uKQMqpIcppr936MzkAoF+PM3uyEWRCdR8vtyOBxobW3N2rQN8l4kfrGtrS3hg9jn80VMKRaLxbBarRgdHQWPx8MTTzyBbdu2YfPmzadMdXua4wzpcoHdu3dDp9Mxlhm9Xs9Uwz09PTAajVCr1YxlbdWqVSl7VdlL7pqamohRQrFG/xASTiU/gd0SGu29uARbtsi2Z9nv92N8fBw6nQ7DDiG8VBCrq3PAl+aiz8LDv6+oRq58Xlu1un346nMHkSMW4P7L21GiECNA0ciTieDxU1j3yz24bFkZbr1QFaLXskHyJqqrq5lr+KO/9sFP0XhgYzunn81kMkGj0WT8+/L5fNi7dy9+/vOfY2hoCHK5HNXV1fje976HSy65hNNz/oziDOmeCFAUhb6+Puzduxe9vb04cOAAKIrCsmXLmGq4ra0t5lI6XQsY0YeJNOH3+yPyJcI1YLK8z8nJQVNTU9bsZkCoA0KtVmdVtvB4POjv74dQKERzczPu3T0Mq9uPn1+mZh5W7PFIObkK/LHPjSGzDz9a34In/jEKg8OL57++CjRN408H9FhZnYfmskiHiM/nw8DAAGiaDrGB/fQNDaZtbpyrKsLm7mpOPpff72cmVre1tWXUaUjTNP72t7/hpz/9Ke666y5s2rQJPB4P09PToGma8b5mE/X19Uw7uVAoxL59+7L+nicYZ0j3ZICmabjdbuzfvx89PT3Yu3cv+vv7kZeXh87OTnR3d6OrqwsUReHjjz9Ga2srJxawWPqwQqFATk4ObDYbE4qdzWAfEohiNBrR0tKSVQdEMBjExMQEpqamQlpdfYEgKJqGLCzzgPxu2ETs9/sx6RWDJ5LhwvaKmDmy7NWISjU/D42Nn/xtAMU5Ytx8QQMnn43k6nIxXt1kMuHOO+9EIBDAr371K5SVJbawZQP19fXYt29fVpPUTjLOkO6pApLVu3fvXnz88cd49dVXYTabsWbNGkYfXrVqFfLy8jhdfpNussnJSaYbiq0P5+XlJd0tlgzIkruiogI1NTVZ1QmtVisGBgZQVFQUMeQyFdA0HeKYYI9HYq8YNBoN5HI5mpqastZpCCxY6QCgtbU1oxUCTdP461//ivvuuw933303rr766qzJO8ngDOnGxhnSzSK2b98OqVSK7373u9DpdIw2vH//frhcLixZsoSRJTo6OtJuTGA7BdiyRTR9mOTrEpJJ9Yvu8XgwMDDATC7OVh4xELqhlK3NKzLixmKxYGpqCg6HAzKZDAUFBXEbFTIBW2uPVkmnCqPRiNtvvx08Hg+PP/54xsfjAg0NDYwffsuWLbjppptO9ilxjTOke7rB5/Ph0KFDDBEfO3YMUqkUK1euZIi4sbEx7pfd7/czpNTS0pLQKUC6xdixl4FAgMmXIP7haJUku3GDq2kR8c6TbMrV1dWhoqIiq1UbsZyRcfHEzUKuU7zxSKmCxC+KxWI0NzdnpLXTNI2//OUvuP/++3HPPffgyiuvPKnVLRt6vR6VlZUwGAxYu3YtfvnLX+L8888/2afFJc6Q7ukOmqZhsVjQ29vLbNQNDw+jqqoKq1atYjrqiouLEQwGcezYMbhcrox1QPaSm+TrEn2YVMN+vx9arRYlJSWor6/PqpTgdrvR39/PTC/O5qYcRVEYGhqCzWZDW1tb3EqavWpg27LY7d8SiSTm74Hd2djc3JzxQ8tgMOD222+HSCTCL3/5y6TDyk8GduzYgdzcXNxxxx0n+1S4xBnSXYwgm0d79uxBT08Pent7odfrEQgEcN555+Eb3/gGVqxYwYmXlw2SDWA2m6HX65luOrLk5lofBkIr6ebm5qx3HplMJmi12hAbWKogGRPkP/Z4JLZ8Q+IXiZMkE52Ypmm89tprePDBB7Fjxw5cccUVp0x1S+B0OplJLk6nE2vXrsX27dsXm1XtDOl+FvDQQw9h9+7d2Lp1K4xGI3p7e3Ho0CFmhA7ZqGtpacmojZimaeh0Ouh0OqhUKpSUlETkS3ChDxOQsO8TUUn7fD4mUrKlpYVTTZo9Homd00xRFMrLy1FWVhYSD5oqZmZmcPvtt0Mmk+EXv/jFKbtJNTw8jI0bNwKY1+U3b96Mu++++ySfFedYHKT78ssvY8eOHejr60NPTw+6uroAAG+//Ta2bdsGn88HsViMn//857jwwgsj/v2OHTvw61//mllq3XfffVi/fv0J/QzZhNlsjgjroWkaDocD+/fvZ2QJjUaDoqIidHZ2orOzE6tXr05agiBOgYKCAjQ2NsYk71j6cHi+RDzyJ5q0y+XKepdXIhsY1yDxi3l5eSgvL2cmcyQajxQNwWAQr776Kh566CHce++9uPzyy0+56vYziMVBun19feDz+diyZQseeughhnQPHjyIsrIyVFZW4tixY1i3bh0mJycj/v0i1Y5SBtkd7+npYdLWpqen0dTUxPiHV65cGTKinU2ALS0taXmJiT7MHvvD1ofz8vIYYp2ZmcHIyAgn3tREcLvd6OvrYzInstkowg7DaWtri+qTjjUeiSSKkevE5/MxPT2N2267DQqFAo8++mhWNzDPICUsDtIluOCCC0JIlw2aplFcXAy9Xh9hsTpDurFBURQ0Gg2jDx88eJAJgRcKhRgZGcGTTz7JeeoYOzuWVHperxdSqRS1tbUoLCzkXB8mYOvELS0tWR9qGO6CSEUmCc/Yffjhh3H48GHMzc3hmmuuwZYtW9DS0nImN+HUwWdjXA8AvPrqq1i5cmVMT+vjjz+O559/Hl1dXXj44YdPpemhJxUCgQBtbW1oa2vDddddBwA4evQorrvuOsjlclRVVeGqq65Cbm5uSMhPbW1tRl90gUCA/Px8KJVKUBQFl8uFjo4O8Hg8hqTIBhSphpVKZcbVKDl2UVERVq9enVWyIo0pc3NzaG9vT2uVQK5Tfn4+pqen4XK50N3djS9/+cvQarX48Y9/jAceeAANDdx0wcXD7t27ceutt4KiKNx4443Ytm1b1t9zMeGUq3QvuugiTE9PR/z8Zz/7GS677DIAsSvdTz/9FBs2bMBbb70FlUoVcYyZmRkm+Puee+7Bxx9/DIPBEKERA8DOnTvx29/+FgKBAI899hjWrVsXcbyRkRFs2rQJZrMZq1atwgsvvJBVC9OJhkajgd1uR2dnJ4D5VYTJZAoJgSdZpiTkp7OzM6UQeCDxVFz2BhR7LFJOTg5Dwol0TwISzm6xWNDW1pbVqRvAQvxiRUUFamtrM6rYg8EgXnrpJTz22GO477778KUvfemEa7cURaG5uRlvv/02E/7/hz/8Ae3t3Ab7LAIsfnlBp9PhwgsvxLPPPotzzz034TFGR0exdu1a7Nq1K0IjPn78OK655hr09PRAr9fjoosugkajifhSX3XVVbjiiiuwadMmfPOb38Ty5cuxdetWbj/sKY5gMIiRkZGQEHiHw4H29namIl62bFlUFwDx93o8HrS2tqaUFczWh4ksASDEF5uTkxNCSsQGRua8/f/2zj4oyrLf458bFsk5IBqiiXQGYUUZJEFeXOfkdDSFEYzJ/COytJ5gJjGxCZ5qOpnDZOpR03QOlZx8wZcIlZE4nVB5MB06KUtY2As9CSMo7qIScwCp4wu71/kD9352XV6WN1ng+swws3vf19573cr8uK7f/f19fwMZsEwmE9XV1bS2tjpkv9gd9fX1vPbaa/j4+LB9+/ZB26GdO3eOjIwMTp48CbQvTgDefvvtQZmPEzO80wtNTU3Ex8ezadOmLgNufX296qCUn59PREQE06ZNsxtXUFBAYmIi7u7uTJkyBa1WS1lZGXPmzFHHWDqk5uTkAPDiiy+SkZEx4oKui4sLgYGBBAYGsmzZMqBddmUxgd+3bx8//fQTbm5uhIeHq6vh06dPM2nSJHQ6Xa98iBVFwcPDAw8PD7WdjCXv2dzcTE1NDX/88QcajQYPDw9u3ryJi4uLXWfhgcBa4xsU1L3xeVeYzWZycnLIzMxk06ZNxMXFDaoywWAw2DSn9PPzQ6/XD9p8hiJDKujm5+eTmppKQ0MD8fHxhIWFcfLkSTIzM6murmb9+vWsX78egKKiIiZMmEBycjIrV64kMjKSN998U9Wt+vv7k5WV1eH3GAwGdDqd+t7Pz89ODdHY2MjYsWNVTWVHY0Yqo0aNUoPrqlWrEELQ0tJCeXk5hYWFrF27lokTJzJx4kQuXLig5ocnTJjQp4BinfeEf+iJa2tr8fLywmQyUVFRwejRo230w/2lVrCs3G/fvk1YWFifNb5Go5E1a9YwadIkSkpKBtSlzVE62hlLeVrPGFJBd8mSJaqo2pq1a9eydu3aDj9TW1vLSy+9ZHNMCEFSUlKnvqGO/GJ1N+bZZ59VO5M2NTUxduxYKioq7D4zAnxFURQFLy8v5s+fz549e/jiiy/Q6XQYDAb0ej2lpaV89NFHNDY2EhQUpOaHw8PDe+1hYCkXdnd3R6fTqYHVkh9ubm6msbGRS5cu2ehivby88PDw6HHxSENDA9XV1f0icTObzRw6dIhPPvmEzZs3Exsb6zSBzc/Pj7q6OvX91atXZWufHjKkgm5vKC4u7vFnHPnFGj9+PE1NTbS1taHRaOzGHD58WH2dnp7eZQuc06dPO231UH+iKIqajgHUxpdLly4F2tMDlZWV6PV68vLyeOeddxBC2JjAT58+vcuKLSEEV65cob6+vkMZmKIojB49mtGjR/PII48AtrpYg8HAzZs3URTFxl/i/vywBWsj84iIiD4/SL169Spr1qzh0UcfpaSkZEBbJ/WGqKgoqqqqqKmpYfLkyeTm5tr8n0q6Z9gH3d6QkJDAsmXLSEtLw2g0UlVVRXR0tM0YRVGYN28eeXl5JCYmsn//flVdYY0QgiNHjvD1118/qOkPWVxdXQkNDSU0NJTk5GTVjN1iAr9161a1Gs6SvoiKilK9EWpra2loaGDcuHFERUU5vFp1cXHB09PTxoXNOj986dIl/vzzT5sGj2PGjFE78fZHBZvZbObAgQNkZWWxdetWFi5c6DSrW2s0Gg2ZmZnExsZiMpl4+eWXCQkJGexpDSmGpHqhv7DOEY8dO1bNEUO7RG3v3r1oNBp27NjBokWLAIiLi2P37t34+vpy6dIlVTIWHh7OoUOH7PTBJSUlpKWldZo2GAG+ov2KEIKGhgab3nRXr17Fzc0Nk8nEhg0biI6OZsyYMf0etO7cuUNLSwuNjY1cu3YNs9mMl5eXjbdub/LDdXV1pKamEhAQwJYtWwa0m4fkgTG8JGPOgiOa4pSUFLRaLenp6R1eYwT4ig4oly9fZsmSJcTHxxMYGEh5eTnnz5/n1q1bdibwfd36CyEwGo1cuXJFdTqz5Ict+uH788Oenp6dFl6YzWays7P59NNP2bZtG08++aRTrm4lvUIG3cGgra2NyZMnc/78efz8um9Q2FWZsqNmPSOtWshkMnHt2jVVNmbh9u3bqgn8d999p5rAz5o1Sw3EU6ZMcbgSzeLP0F2bno58ExRFUVfCrq6ujB8/HoPBwOrVqwkKCmLLli0DXqQheeAMb52us1JcXMz06dM7Dbj3+4oWFRWxbt26Tq/3+uuvd+kbYTKZePXVV22qhRISEoZ1tZCrq6tdwAVwd3dn9uzZzJ49G/iHCbylQeixY8fUh0GWIBwREYG3t7edS1tdXR1Go9Ehf4bO8sOWaroDBw5w+PBhWlpaiImJYcGCBdy5c6ef/jUkQwEZdAeQ3NxcnnvuOZtjRqOR5ORkCgsLuX79up2vaF+MnMvKytBqtQQEBACQmJhIQUHBsA66jqIoCuPGjSM2NlYt6bYY3pSWlvLNN9+wfft2mpubmT59OhEREfj4+Ki64p48mLsfV1dXxo0bR3NzM2VlZcTHx5Oenq6Wn1uMfR4kw93m1JmR6YUhQkZGBtnZ2YwZM6ZTs568vDxOnDjB7t27ATh48CB6vZ7MzMzBmPKQ5O7du1RUVLBhwwZKS0uZOnUqt27dUqvpIiMjCQoK6lEANplM7Nmzh+zsbHbs2METTzwx6Llb6bg34Mj0wlCgqwdzKSkpvPvuu6pZT3p6Onv37rUZ15NqoTfeeIMvv/ySUaNGERgYyL59+zqseBoJxRvWuLm54enpSUREBEeOHMHNzU01gS8tLWXjxo1cvHgRHx8fNQhHRUV1WspcU1NDamoqoaGhfPvttwNqxC4ZGsiV7hCktraWxYsX8/PPP9sc74kZSVFREfPnz0ej0fDWW28BsHnzZrtx/v7+lJeXj4jiDUexdJmwNoG/ceOGagIfGRnJzJkz+fzzzzl48CA7d+5k7ty5g766tcaRnZOkT0j1wlDH2qznww8/RK/Xk5ubazOmra2NoKAgTp06xeTJk4mKiiInJ6db8Xp+fj55eXl89tlndudk0HUMk8nEb7/9puqHT5w4QXR0NNnZ2X12GOstXe2cdDqdjc1pfX293c5J0ic6/wsrhOjqR+IkvPDCC2LGjBkiNDRUPPXUU8JoNAohhDAYDGLRokXquK+++kpMnTpVBAQEiPfff9+hay9evFgcPHiww3P+/v4iPDxczJo1S2RlZfX9RkYIZrN5sKfgMDU1NSIkJGSwpzHc6DSuypXuMMaR4o0NGzZQXl7OsWPHOtz+dle80Z0u+Pbt26xYsYLz58/j7e3N4cOH8ff3798blfQYR3ZOkj4h0wsSe/bv38+uXbs4deqUQ1vg+594O9JF4OOPP+bHH39k165d5Obmkp+fb2MGJBkcli9fbmdz2pnrnqRXyPSCxJbjx4+L4OBgcePGjU7HtLa2ipaWFvX1nDlzxPHjx9XzZ8+eFTExMer7jRs3io0bN9pcIyYmRpw9e1YIIcTdu3eFt7f3kNp6SyS9pNO4KluHjlBWr17NzZs3WbhwIWFhYaxcuRJoTydYRPLXr1/n8ccfZ+bMmURHRxMfH29TvNFRF4H7jdytx2g0Gry8vGhsbBzo25NInBap0x2hVFdXd3jc19eXwsJCAAICArhw4UKn1xD9YPYukYw05EpX0mscMXu3HtPW1kZzc3OXJa91dXXMmzeP4OBgQkJC2Llzp92YM2fO4OXlRVhYGGFhYbz33nv9dEcSycAjg66k11h3Ebhz5w65ubkkJCTYjElISGD//v1Ae5ny/Pnzu1zpajQatm3bxq+//qq28amsrLQbN3fuXCoqKqioqOjSJGg4cPToUUJCQnBxcbGrCNy0aRNarZZp06apRTES50amFyS9prMuAuvWrSMyMpKEhASSkpJYvnw5Wq2Whx9+uFtZ0qRJk9Sn6J6engQHB2MwGEa0ac+MGTM4duwYr7zyis3xyspKcnNz+eWXXzAajSxYsICLFy/22phH8mCQQVfSJ+Li4uzcqay3+w899BBHjx7t1bVra2v54YcfVHtGa86dO8fMmTPx9fXlgw8+GNYtY4KDgzs8XlBQQGJiIu7u7kyZMgWtVktZWRlz5sx5wDOU9ASZXpA4Ja2trSxdupQdO3bYta+ZNWsWly9f5sKFC6SmpvL00093ez1/f39CQ0MJCwsjMjLS7rwQgjVr1qDVannsscf4/vvv++1eBgpH1CMS50OudCVOx927d1m6dCnPP/88zzzzjN156yAcFxfHqlWr+P3337v1h+iq6/Lx48epqqqiqqoKvV5PSkoKer2+bzfSAxypHrwfqQwZmsigK3EqhBAkJSURHBxMWlpah2OuXbumWimWlZVhNpvx9vbu0/cWFBSwYsUKFEVBp9PR1NRkUyo70BQXF/f4M46oRyTOR3dlwBLJA0VRlMeBb4CfAPO9w/8G/DOAEGKXoiirgRSgDfg/IE0Icbab69YA/0t7aXuWEOI/7zv/38C/CyH+5977U8BbQginMRBWFOUM8FfLnBRFCQFygGjAFzgFTBVCmAZtkpJukStdiVNxL+h1uUcWQmQCPW2H8S9CCKOiKBOAvymK8nchRInV+Y6+0ylWJIqiLAH+A/ABvlIUpUIIESuE+EVRlCNAJe1/gF6VAdf5kStdyYhDUZQMoFUI8YHVsSzgjBDi83vvfwP+VQhRPzizlAxXpHpBMuxRFOWfFEXxtLwGYoCf7xv2X8AKpR0d0CwDrmQgkOkFyUhgIpB/78m+BsgRQpxQFGUltOeJgUIgDqgG/gT+MkhzlQxzZHpBIpFIHiAyvSCRSCQPkP8H53mQDH9893MAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"if d == 3:\n",
|
|
" scatter_plot(data, None)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"mu = data[np.random.choice(range(data.shape[0]), K, replace=False)]\n",
|
|
"c = np.random.randint(low=0, high=K-1, size=data.shape[0])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def dist_i(x, mu):\n",
|
|
" # x: N datapoints, mu: N cluster centers\n",
|
|
" # returns: D_{i}, squared distances from x[i] to mu[i]\n",
|
|
" dist = np.zeros(x.shape[0])\n",
|
|
" for i in range(x.shape[0]):\n",
|
|
" dist[i] = np.sum((x[i] - mu[i])**2)\n",
|
|
" return dist\n",
|
|
"def dist_ij(x, mu):\n",
|
|
" # x: N datapoints, mu: K cluster centers\n",
|
|
" # returns: D_{ij}, squared distances from x[i] to mu[j]\n",
|
|
" dist = np.zeros((x.shape[0], mu.shape[0]))\n",
|
|
" for i in range(x.shape[0]):\n",
|
|
" for j in range(mu.shape[0]):\n",
|
|
" dist[i, j] += np.sum((x[i] - mu[j])**2)\n",
|
|
" return dist"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"ss_list = []\n",
|
|
"for n in range(10):\n",
|
|
" c = np.argmin(dist_ij(data, mu), axis = 1) \n",
|
|
" ss = np.mean(dist_i(data, mu[c]))\n",
|
|
" ss_list.append(ss) \n",
|
|
" for i in range(K):\n",
|
|
" cluster_members = data[c == i]\n",
|
|
" cluster_members = cluster_members.mean(axis = 0)\n",
|
|
" mu[i] = cluster_members"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0x1fa6bf68ba8>]"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(ss_list)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"colors = np.array([plt.cm.cool(i/(K-1)) for i in range(K)])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"if d == 3:\n",
|
|
" scatter_plot(data, colors[c])"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.7.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|