diff --git a/05-Multivariate-Gaussians.ipynb b/05-Multivariate-Gaussians.ipynb index d070d5a..fcc8e14 100644 --- a/05-Multivariate-Gaussians.ipynb +++ b/05-Multivariate-Gaussians.ipynb @@ -337,7 +337,7 @@ "data": { "image/png": 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\n", 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\n", 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\n", + "image/png": 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\n", 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\n", + "image/png": 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+GxXGVo1sjJKCt2LE5cXg+AKW4sLpegcncH58IcEKXWc1YSKp0pQOUb8wQRh1OhzoHYpppxtW20WFxJbWBs14NgAVhATn/BiiIQCaRFjowxPireOlIi2V1IYQqiEf7Nq6HICVGn5NAoIQcAfCeGXgKvpH5rB/z+aoVip2nj9Y4JnJU9YRlxPu0LIdQnyhy4WqKo2aFDQRJZWHCAKIbnMfeeGkZMNnu0y/j2JQ1kKi55xH1C0pGI/kjJJKF72giUjlhBCVi0HHYDXpsSBSE1OuIzzXmP5Z1gleUm7JtpV20e7Q8ShZ9GvqqmKaiFhSDVHZrKq14L71KzO+zuPXlju9rIVEg0W8B5aSjM90i17HgGf/+vaYoIlmf67LbqJEWfJPn2zP6uGhtYrZJSkklLRHm3CH4AtFUrowKU2ZFRLB7l7rED0e4cAjL5zEiUuuqJHz0HF87RcDoucSlcn3X4umgAs1Rm5dkT4oT4sVsxmX6P2gFvPz87Eb1NbW5jyemNchuaCo0+XFAz/5Q0LkpNmgw642B57avSkj95LT5cVnf3IMUx5xi3OVUY+6KoNokx2C6NzQhEMPRwOcNuz7LXwitggGYEtzDVqXmzZl4/5UM5iqtrY2wVtZcoZLJUFRB3qHEgQEEO2JYDMbFf8BBNfp7y9MYs4r3owFAHzBMHxBbe0hCe1wamQ29tov8TvRMeDXX92V8JlYXRMAqlXAzoSSExJKgqJyLVFH/TMItWBxz2SzUS+qSXAA3T39snVN/nTZBZ1OlxB8VagGwyUnJJSUn8u1RB1VliLUorXegru//ybmfUFY9AxihQwjHLEgK6EgUvLvT2w7KxTTffnRnXmafZSSM1wqqd+3t7MdTTa97DlyUGAUoQYMwOnRBYzO+rC4FMKsT3rbClzfNl+ZFo8OFkMopjvhlh87F0pOk1BSv6/FYcW+XXXoOedByGhVlM2Z3BaeIHKFAxn3e51cWMK0hJFcipEZL3rORdC9I3fHgBglJyQAZfX7muwGdO+oVWTtJRsEoRVW1liwFIyIPqhMeoaAhNSZzWM9k5LbbuQDORsEQ/SPQxD5RtgSt0povPesa0RzfZXosXqJwEE1KElNQm3kbBAckJTeBJEreh3D+qZq3Np0PUZCqu2DUGNCLE6oa6O48FADEhIA7Ob8SWGCkCMc4Vj0h/Dg9taEGIj9ezbjpZMjona3ZJvcg9tb8aPfDmBmKYxbL/arHj9RchGXSlEageZ0edF16Lho8Q+CKBRmA0uoapYcRSyFkghkJchFXFa8TeJA7xAJCKLoJJc9VNr+L58NsAUqcrsR7+6UqlhFEMVGSYRwPhtgC1SckCB3J1EqKIkQzncDbKACtxsUck2UAkojhNXuIC5GxWkSUuoZY0CebbgEIUtTjRm3NNpSmljLZX4KEcjf7HkHs0thrF2zQnXvRsUJCSn17K5bHLg45ca0OwBwDmqfQRQSh82IX335IwmLW2mX+xaHNRaS3dGhTifxeCpuuyGmnpn0DCevzODagh+hSFRAGHUUZUkUjlCE40DvUEKVtUJ4LpRQcZqEoJ49c/Q8/jA8BX8oIhpRGZTr5koQKjPvC+GVgav4zemrYDqGCE+sRRGPmp4LJWhGSKTbe6l9n1Mjs/CHtFW6nCCCClJHC10oVxNCQuneKx/3IYhSohiFcjUhJJQ2883HfQhC6xh0DNtvqpf1enxyVQhN9vwsZ00IiUJEjcndhyC0zKpaC17+0p2x92Ia8Wt6oLlGj415SPDShHejEFFjcvchCC3zhY/clPBeTCNeCgMXZ6MNiR96/oRoL5ps0YSQKETUmNR91tRVYYVNWw1aCSKeA70XEhZ9Oo1YbTep/tvf/rZqg4nh9/tjN7BYxJ/ktVYjPrG+CTPeABqsRnz4xnr84IHbc1KZrl69CgC44YYbZO+zt7MdR/88Dl+QPB2ENgmGOV49cxXnry5g0+panBmbx9C1Rdlrphf9+N3QJN4ansam1bWotco/CP3+69W4LRbL0/HHKrqehNPlxX/9yR8x7QkUaloEkROtDVbs37MZTxw5o9gIr6S+BNWTEEEw/pCAILSAjgHbWmphMcgvyZEZL/7h5VNY12RD54YmbGupg9UkX1kt1+2HJrwb+WDCHULPOQ+Cp94RDc4idyihJSIccNgteOGRDXjkhZPwinT6EnC5A3hjcCqmIQCIJXiN+xhc7tQHXy6ewrIUEk6XF8+8NbfcDzT65fz27DXc07YCj959Mw4fex9vvjchOwZDtAguQRSKUyOz2LG2A69134MDvUM4NjwNl4ymGx9LJCR4/dtFPV4ZuJpybi6ewrIUElINg3sHJ/DmexOKGqZYTQyeAIkJonBEIlHjudBXRkmEcLKGIFVpOxdPYVnaJORcREqr4/uCJCCIwjLrC+GhQ8dj7k4hGfH+LTfAYTOJXpOsIcRfc+ctDbh/yw05pzeUpSahRtBUhEe/nPx1WCSIVP54yYW/+enb+OVybQk5rUJKQ1DS4S4TVBESjLFPATgIQA/gMOf8e2qMmy17O9txfHgiZcuRKREyTBBFYHzBjwO9Q9jb2a64F0c+yVlIMMb0AH4MoBPAKICTjLFXOefncx07W4SGwT8bWMSfp0MJKeF6pnzLQSUliGIxMu0uSGa0EtTQJO4AcJFzfhkAGGM9AO4HkLGQCIVCePbZZ+FyucAYA2MMOp0uo9fCf2NjY2hhDBsdq/D64CRG53zgnCGiYwhzYCkkVPVYjhthuuUiHwxgOhj0DKEIgOXxop/H/Z8xMLDly69/JrxmsfOjYwuvGdOJXsOSxo6NE3u9PA6Qeg8l90kZT+Lz2DhYnlfyOMJ3RZW78sm5cTcC4cQo4JEZL545eh6HHo4GCMZnghqDXnRttOVlLmoIiTUAnHHvRwHsEDtRiIKU4tVXX8V3vvMdFaZEEOXJYQCH/7v4sZ+LfHbgwAHce++9acdta2uTPKaGkBB7pGSlqO/evRuRSATz8/PgnMv+J7iLhNdCeLnwWnh/anwJYwvB5VkJn/NoaWzOYTEAVQZAD455fxiBEABEYqWzOY8s/2uuXyO85iKfXf9c5Bos318IhY8bO+U+wj2Sxsby2JwLTxmeNE7iebHjEv/+lPukm1f8eYTmCQaDOY+hhpAYBdAS974ZQGo0B9L35QSAO+64Q4UpXddaDpwKwnd5RvK8O29pwMtfuhOPvvAnvDE4pcq9CaJYCL/nTInP3UhGjTiJkwDaGGM3M8ZMALoAvKrCuKqQzh0q+Jn7ndJfEkGUCvmof5mzkOCchwB8FcBrAAYB/JJzfi7XcdVCrIaEQIKfmTRoQgPoc7AHN9n0eal/qUqcBOf8NwB+o8ZYaiNEoAk9DSbdfqywGdHaaE/wM29rrUfvYGo+h92sg9tPtSaIwhDmQJVJD6OOYSkUQUCmortJz3DPukZ4/GEYlr0b+XCPlmXEZTJKItD27b4N58cXMDbni32mY4CPBARRYHyBMHzpT8M96xpx+OGoDS+d5zAXyjJ3IxtaHFY8+RftCepehAO5xWwSRH5obbDiqd2bCnKvitAklOB0efHPv/6z4mhMgigUDpsJrfUWTHmCWGk3o8VhLVhINkBCIsaB3iHZQh8EUSzubmtUNWErU8pOSAihqhfHZtBg0eO7N3tTJK5YS0HqyUFoEYOO4cHtrbH3hWqHmTCHvI5eYFLTaYN46PkTCUkxUi0F1zXlJ+6dIHIhFOE4dOwSdqx1yLbDzCdlZbhU0qpd6hwGXdqCogRRDN4adsU0iHS/73xQVkJCSbtAqXPc/iDWrSRtgtAe/lAktsUQQ+12mMmUlZBQ0i5Q7pwbG+15mRdB5Mrksg1CjHyEYsdTVkJCSbtAuXP2drZjdY25IHMliEwQKlEVoh1mMmXXwUvYu10am0K9RY/vdt0p6d0QKwPmdHnx9NGzePfKHDz+EAIUOEEUmZXVZhz5SrTmpdRvV0nHOjnkOniVnZAQyOVLU1LKnCAKRZVRh9cfv1fW1ZlPIVFW2w21oO5ehJbwBSN592DIQUIiDqfLi+6efrz53mSxp0JUGAYdwyoZe1i+PRhylFUwlRRKotRoi0EUk/vaV4IjgsnFKdEq7fn2YMhR9kJCLkqNGggTWmBNXRXOjs1hfMEvetxq0ieEZheast9uKI1So9wNohjUW43YsNouKSAAwBsI44kjZ2Lt/wpNWWoSTpcXB0/MY2YpjGs+8Xpgwh5P2IoMT7oLOUWCAAB8+MY6uP3ps4/jO4gXmrITEte3F/KawcoaC9khiKLTPzKPra3KQgOKZbwsu+2GEtuCEKVGdgii2Lg8AZwdW4TZkH4pFst4WXaahJRtwWEzYV2TPSFKjewQhBa4Fvc7lOpRbTbo8h5+LUXZCQmpJBix6j7penIQRKGRin/uuLG+4I2CBcpuu5FJEszeznaqIUGUBB+4vEXzbpSdkBD6bOxqsWDTCiPu33KDZLv2FocVP3t4OwkKQvOMzfmKFppddtsNILr4u3dELcYdHfIuox1rHXit+56oEXPajTNjC1Qxm9Ak5N0oIkLzntZGOwkIQrMUy7tBQiIO8nYQWqUQxWWkKMvtRrZIeTvMeoZ6mwneQBjBCIeP+nMQOXD3Wgc8/mCs2Y7DbsbAyAymPMGE86qMemxYVV3wZjzJkJCIY29nO/pH5hICrMwGhjqrCddkYusJIhPevuxCtdkAg0EHiymaNtDcYINe78NSMAy9TodtrfXYt/u2ogmGeEhIxBHfgVwoD+b1h0W7jRNEtkQ4ML8UAgC87Q4kHGttsMb6aBS6CY8UJCSSSO5A3vXcO0WcDVFpjMx48czR8xiaWExb3qBQkOEyDRSVSRSa31+YLEoTHilISKRBLIKTIPKJVIV2ipPQKIKd4v4tN2Dj6hrodeL1KQgi31CchIYRXFDvuzwIixUgJIgsMeuBGkt60yDFSZQAB3qH4KX4CEJl/GFgRY0RC8vejnia66vQUl+V0kCq0JCQSEKqsjZFYxL5YqXdDB1jCcZKwRVKcRIaQ66yNnk5iFxw2IyoMhkwOutLOSa43aVaTxabnIQEY2w/gP8CIADgEoBHOOdzakysGMhV1haLxiQIpdzYYMPBrq0pDyHB1pAcn6MlcjVc9gLYxDnfDOACgG/kPqXiIbWlmFxYQovDiv17NoOcG0Q2NNiNCZ6yO29pkK11oiVy0iQ456/HvT0O4IHcplNcpLYUguvppZMjot2VCCIdbPl5rGWNQQo1bRJfAPALuROEzseFYMIdQs85D2Z+/zoaLHp0bbShyS7/z/3kqhCO2/SY8Fz3YjTZ9PjkKj/6+vpwcWwm39MmypTx6ZmE33/s97kUVvz7VEK2a6ytrU3yWNpZMcbeALBK5NC3OOevLJ/zLQAhAC9mNUOVmXCH8Mxbc3GLPYgLM0Hs21Un+4doshuwb1cdes55MLsURn3SH6/BogcQlLyeqGykKl0DQL3leonEbH+fxYJxnpv+zBh7GMBXAHycc55i1Zufn4/doLZWWROSXOnu6ccrA1dTPr9/yw05qXpi3g+LQYelUCTrMYnyot6ix+xSYjzNmroq9Dy2M2Z7yMfvU9AgOjo6srp+fn4+9rq2tjbB8pard+NTAJ4EcK+YgCgWcgbIXEhOJbeZ9Tg7tkC1JogYc0thGHVRncJuMaDjRkdKXQip3+ex4Wl0PfdO0VPDk8lVt/kRADOAXsYYABznnH8l51nlSDoDZC4IhidBqyABQcTDAQSXrdsWg160cIzU79PlCcB1OWr3KmZqeDI5uUA557dyzls451uW/yu6gACimZtNtsQy+WrHvlOLQCId4wt+0fRuJZnFxUwNT0Z7VhIVaHFYYwbIkNEqGsEmFX6tBKfLi2PD05LHTXomme5LlA86hrQucbEtbvK29cKkG66kClVS1xaDshQSQNRT0b2jVtSQIxd+nU5QCNe6PKl/VCCalBMMRzBB25Cy5q61DnztY23o/sUAJhaWJL0aUlvc+HgJKUNmsVLDk6nIVHG58OtsrhVobbDiBw/cjgB5O8qa1gYrvvfZzbihrgomg05SQKyuMSva4mbSmrIYlK0mIUcu3g+paxvtJuzfsxlPHDmDWS/FUpQjDpsJd7c1xram3T39og9i/obTAAANMklEQVQMk16He9Y58NTuTYq2sGIFmMvJu1GS5OL9kLrWYtTjh28OkzGzjFnXZE+IY5B6YHz4xjo8tXtTRjYvLYdrV6SQEMvoVKreSWWDjs76RNOAifIh+SEi9cCwmfVZ27y0SEXaJHLJxhOuba6vKsBMCS0xfG0R3T39cLqii1/KlsCg01S161ypSE0CyE29a3FY0VxfRZpDhXH+2iLOX1tM0ArEbAlPHDkter1WIyrTUbFCIleUVqqqMeux45ZGnB6dw+QiuUXLAUErONi1VfRhYzfrRa/TakRlOipyu6EGSvtx7LilEYce7sDm5poCzIooFFKeMKfLi7Nji2mvL6XtBwmJLEm2azhsJtHz3P7g8v+p0nY5IeYJu57PoyxSUisRlekgIZEDgqr58pfuxN1tjaLnCD+mdNuT1TVmrKmTN4ZS6bzikPy9S3nCMs3n0UpEZTrIJqES6dyqD25vRe/5iYTeHVaTHuubqmPNf4DoD6337FV4U9swQMcYIjnW/yAAPQMySa352PoVsJmNaQOdMmm7oKWIynSQkFAJuag5p8uLJ46cSREQP3t4O3asdSSMc7BrKx44OI2+8dTcEL2OIURFNrPCYtBha2sdVtZY4PEH8cbglKLrWhusiiMnlRqzm+urSsZoCZCQUBUpt6qYGuoNhPHSyZEUIQFAsgaan3JCsmbDKjte/tKdAKK2g7eGfy/7fZr0DPesa1QsIABxbdKQJNi11HRHKSQkZMglnTweuVwRsXv4skgz1wMg06g0rY322OsWhxX3tK1A7+CE5PmBMIfNbMzo7y2mTT64vRUvnRzRZE6GUkhISJBLOnkyUmqo3WxMuUfv+Qmsrcvcnmwy6uALkqYhhtWkx5VpN7p7+mOLdN/u2zA0sShraMzG+yCmTYpqiyUECQkJ5NLJM43UlDJqckREtyFDU2E0Vukw7VO26PU6RgIiCb0OuLnBCuecD95AGAOjCxgYXcB/nLmK7Tc7EOYc65psaG+qRr9zFtMiRV9KxfuQb8gFKoGaxXSlckWkYicCHLip1oDODU1p3Z56HUOYjJkAoq7KbS116NzQhPvaV2BicQn+UOJ3E4gAf7zkwvHLM3hjcApDE4vY9+nbYEj6og06hge3txZy+pqFNAkJ1C6mK6aGylnDl8Ichx7uwGd//BZOORdEzzHrAT+VyYvxsfUr8NTuTSlbODlGZrz419eHUrxGoQiXNixXGKRJSFCIakF7O9thNoirCkIzlyuz4pqLQQfc0mhTbS6ljtnAML3ox+cOH8+4pseCT7xIULzW6HR50d3Tj67n3knIBK0ESJOQoFDVguqsppR6mA4LQ9fGZQEgoSjUVpmwGCA7hEnPwBjgD3EMjIprXOmoqTJiYSk1ek3QGtU0YpciJCRkyHe1oKjrMzUz9OZ6Y6zd27bWelFX3bbWeky7/RWfrp5rVXKrSY8aiwFmA0uwX8TXp1TTiF2K0HajiEgZR5fifqz7dt+WktOxpq4K+3bfhtYKeIqpjZFFK11vba6B1aSHNxDG+fHFFAOnTnd9aeSrI1ypQEKiiEgZLuOby7Y4rOh5bGeCZ0ToKxm1aZTXn3BVjRnbWurQXF+Fjauq0Vxfha3NNRlXAmuur8K2ljqsqrGg1mJAo92ET2xYgTf33ocXH9uJ1kZ7Qph8MmNzvlgqdz47wpUCtN0oIlLxE10bExeE1LanxWHFrjaH4jyEUmDtCjtefGxnLBJ1xOXFlNuPWYk+J2KIhT4L4z1x5DSaaiy4Mu1OO46gKeRSE7UcICFRROKNo06XF5NuPxqsBvSc81w3XKbhqd2bcGEi0ahWZdTDFyzNIO2+K7M4ccmFJ46cychLsarGgpsbpbu1JRsepbxK8QiagtZL3ucbEhJFRtg2PPT8iYSK2xdmgtj8IW/aH6LUD/ijP/gdwhk4P1ZWm7HgC2IpLulJz6LdsQsZiuEPRfD1X53O2CC7aU01Dj98R+x9fE6MWCXzZBtEMlaTPiGYSssl7/MNCQkNIGY9n/CEFVvPxX7AjXazolaDjXYT7rq1MdGSP+3GexOenLWRj6ytx4rqKkwuLOHytEdx60OpuAU5PHHRq2KagxJ0AAQR6Q2E8cSRMxXj5pSjvKxeJUo+rOc//Nutaf+4rQ1W/Prv74oVdBWETWujXbGAcNiMoqHjq2vM+P5nt8Qqd/3wb7cqrqyVjXCKj2nIJqAKuC4gBEqpDmU+ISGhAfJhPd+x1oGXH9sJk158ZeoYsH/P5pwrLDHGRDtrb1pTFxtbKLqjNMUkKLO/WVNXhdU15oTPBCOioEGoGTtSKW5OOWi7oQHErOdNNn3O1vMdax34yw+tFu1YHeGQzE1QWmEJAKSq6QkFgIHMaz/GU281wmY2YIXNiNZGe8K2KNmIKNWbU6C5vgot9VWwmfUYHHdjbO66MBFiJpKpFDenHCQkNECy8dEQ9KJro02VvfDeznb89uw10SpMUk/JvZ3t6PtgNmERidHaYEV7U7VoRGj84spEM0lm/arqWEWpeMRsNXL3SXaLCobN+OIwX3vpJCY84YRrKsXNKQcJCY0Qb3zs6+tTdVypWAqpp6QQwPXM0fP40/suLIUiqDLpsGl1LSwmHTz+cOwJDiCleEuyFlRtNmY9/0ye5FIakFhNSTFj775ddeg550HIKO5KrVRISFQAYrEU6Z6SQvWmh54/gfkZL/yhCI5dcokGKsXHejhdC6g2RbcDwvhnx+ZSxq8y6nGLw4rLLq+koTLTJ7lU0JNSD0WT3YDuHbXo6OhQfM9KgIREBZBtMJDSxKb4WI8pbwRTXuDi7FX0j8xhXZMN4yKuz7tubYDNbMS5a6ndruqtRtyzbkXGT/JKD3rKFyQkKoRsgoFGJGomiNVSkBIonoBIAxFE4xqkKnOtX1WdUzPnSg16yhckJAhJptziwU+TIp9LGg0lvB9ytgbyKGgLVeIkGGN7GWOcMSbe644oSRpt4gbHFSKfSxkNt7XWS1b4Eqv+FV/ZupKqP2mZnDUJxlgLgE4AI7lPh9ASNzbaRas9TXmCcLoS80qkjIb7dt8GQDyuwenyYl2TDZ5ACJEIhy8QTqhsXUnVn7SMGtuN/w3gnwC8osJYhIYQ618KAKOzPjz0/ImEBSwYDb/Z8w5ml8JYuybR8JhsJ1CSX1FJ1Z+0DOM5NKBljH0GwMc5592MsQ8AdHDOp+PPmZ+fj91geHg463sRhWXCHcIzb80lBBcls6vFgu4dtVmNf/DEPN5ypg+y2rTCiG/f25DVPQjltLW1xV7X1tYmxPKn1SQYY28AWCVy6FsAvgngkznOj9AgPec8sgICAGaXss8SnVF4bXyVLqI4pBUSnPNPiH3OGPsQgJsBnGaMAUAzgFOMsTs459fErilkkIoQtViKgTFamHvw1DsA5J/0a9esQEdH4lZA6dxvvdiPc1OpOSXxtDZY8d2uwtkktPC9Z0uuc5+fn5c8lrVNgnP+ZwArhfdS2w2iNEmX5JVrXoOYoXNNXRU2rLYnhH2T0bL4UJwEIYrYItbrgPUrq3HrquqcFzBFR5YOqgkJzvlNao1FFJ8WhxX792zGIy+cjHk3whFgMRBWbTFTdGRpQEVnCEleOjmS4v6kak2VBwkJQpJKb0pDRCEhQUhS6U1piCgkJAhJCtFZndA+5N0gJCEPBAGQkCDSQB4IgrYbBEHIQkKCIAhZSEgQBCELCQmCIGTJqZ6EEuLrSRAEoX2S60mQJkEQhCwkJAiCkCXv2w2CIEob0iQIgpClIoREKfYFYYztZ4y9xxg7wxj7NWOsrthzSgdj7FOMsSHG2EXG2D8Xez5KYYy1MMZ+xxgbZIydY4x1F3tOmcIY0zPG+hljR9Ueu+yFRAn3BekFsIlzvhnABQDfKPJ8ZGGM6QH8GMBfArgNwOcYY7cVd1aKCQH4Oud8A4CdAP5HCc1doBvAYD4GLnshget9QUrK+MI5f51zLjTSPI5ooWEtcweAi5zzy5zzAIAeAPcXeU6K4JyPc85PLb9eRHSxrSnurJTDGGsG8GkAh/MxflkLieW+IGOc89PFnkuOfAHAfxR7EmlYA8AZ934UJbTQBBhjNwHYCuBEcWeSEf8H0QdhJB+Dl3wWaCn3BZGbO+f8leVzvoWoOvxiIeeWBUzks5LS3hhjdgBHADzOOU/tb6hBGGO7AUxyzt9ljH00H/coeSGhZl+QQiM1dwHG2MMAdiPaJU3rC24UQEvc+2YA8o01NARjzIiogHiRc/7vxZ5PBtwF4DOMsb8CYAFQwxj7Oef882rdoGLiJEqtLwhj7FMAngVwL+d8qtjzSQdjzICogfXjAMYAnATwIOf8XFEnpgAWfYq8AGCGc/54seeTLcuaxF7O+W41xy1rm0SJ8yMA1QB6GWMDjLH/W+wJybFsZP0qgNcQNfz9shQExDJ3Afg7AB9b/q4Hlp/MBCpIkyAIIjtIkyAIQhYSEgRByEJCgiAIWUhIEAQhCwkJgiBkISFBEIQsJCQIgpCFhARBELL8f7Wo32OQHKB7AAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -656,8 +656,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[ 0.996 -0.004]\n", - " [-0.004 1.004]]\n" + "[[ 1.002 -0.003]\n", + " [-0.003 1. ]]\n" ] } ], @@ -681,19 +681,20 @@ "source": [ "## Multivariate Normal Distribution Equation\n", "\n", + "Recall the equation for the normal distribution from the **Gaussians** chapter:\n", + "\n", + "$$ \n", + "f(x, \\mu, \\sigma) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}} \\exp \\Big [{-\\frac{1}{2}}{(x-\\mu)^2}/\\sigma^2 \\Big ]\n", + "$$\n", + "\n", + "\n", "Here is the multivariate normal distribution in $n$ dimensions.\n", "\n", "$$\n", "f(\\mathbf{x},\\, \\mu,\\,\\Sigma) = \\frac{1}{\\sqrt{(2\\pi)^n|\\Sigma|}}\\, \\exp \\Big [{ -\\frac{1}{2}(\\mathbf{x}-\\mu)^\\mathsf{T}\\Sigma^{-1}(\\mathbf{x}-\\mu) \\Big ]}\n", "$$\n", "\n", - "I urge you not to try to remember this equation. We will program it in a Python function and then call it if we need to compute a specific value. However, note that it has the same form as the univariate normal distribution:\n", - "\n", - "$$ \n", - "f(x, \\mu, \\sigma) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}} \\exp \\Big [{-\\frac{1}{2}}{(x-\\mu)^2}/\\sigma^2 \\Big ]\n", - "$$\n", - "\n", - "The multivariate version merely replaces the scalars of the univariate equations with matrices. If you are reasonably well-versed in linear algebra this equation should look quite manageable; if not, don't worry, we have code to compute it for us! Let's plot it and see what it looks like." + "The multivariate version merely replaces the scalars of the univariate equations with matrices. If you are reasonably well-versed in linear algebra this equation should look quite manageable. If not, don't worry, both FilterPy and SciPy provide functions to compute it for you. Let's ignore the computation for a moment and plot it to see what it looks like." ] }, { @@ -707,7 +708,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -832,6 +833,34 @@ "multivariate_gaussian(x, mu, P)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can get the same result from the `scipy.stats` module." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0315\n" + ] + } + ], + "source": [ + "import scipy\n", + "try:\n", + " print('{:.4f}'.format(scipy.stats.multivariate_normal(mu, P).pdf(x)))\n", + "except:\n", + " print('you have an old version of scipy, upgrade it now!')" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -850,16 +879,16 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -888,7 +917,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": { "scrolled": true }, @@ -897,7 +926,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -928,14 +957,14 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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4HCcnHAyW8z3FzSEZi1grR8P5FFjgKwJ/8dlKWVW8cTjmcHLCOBuytxUsdb+MbVns9UPGs5zHk0dUdUVV1dzeai287tJreRyfjhlMZ8ySNo1QjncWZkhgEWvleBRzmp6ys7X4m1xelLxxOOLJ5IS4GnN7J3zXVV6L1m54uI7N4ekTtK6ptebOdhtrgcHFshS9tscwHXI86khgEcbIVJhYG5M4Y5zMqHS+8J5geVHy+pMRj8eHpHrCre3VBZVzoW+zvxVwnBzxeDjg/uGIesFbxDpNj1E25GQcU9eyHU2YIYFFrI3jUcwwHdFpLfadc1nX3D8a82RyREHM/tZq9pO8E9+12d8OOE1POBoPeXyy2DNUfM/GdWGcTRhM5JRJYcZ6vJrEjVdVNYNxwjgb011gYNFa8+BwzNF0QFpP2d0KFzrddBmeY7O3HXCcHnM4HnO44IJ+t+UxSkecjGSvszBDAotYC4NJwjibEATgLnBD5KOTCceTIaNsyN5WiL1mQeWc79jsdH0OZ084GC621X274TIrZwxnMWlePvsLhHgGCSxiLcynwYZ0movLVgaThKPxmOP0mL2t4MqbHhctChx6bZeD6QEPj0cLu+lblqIdOQyzEceStQgD1vuVJW6EOC0YxTFJOaO1oKJ9WpQcDCYczo7Y7vr4S9p4eVWtyCUKFMfJCQ+Pxwsr5p9Phw3GiZzVIq5MAotYuZNxzOisaL+INu5a63mblviEMJj37rpOeh2PvI4ZzMYcDmcL+R5h4IBVMkqnjGfZQr6HuDkksIiVG05TxvmETmMx2crhcMZgNiKpZvQ7F2siuU4spdjpBZykxxwNJ0yTxdz4Ow2XcTrmVI4uFlckgUWsVJwWTNOUSufzd82GJVnB0XDKSXLCbi9YuxVgF+W7Np2mw1F8zOOT6UJOqGw2XKb5hNE0lekwcSUSWMRKjWYpk3xCMzQfVLTW88PC0gHNyMZfw6ONn0en6aGtnNNkvJAie+DZYFVMs4RZWhi/vrg5JLCIlRpOUybZhNYCpsFGs4xhMiMr44XujVkWhWKr4zNIBhyPZmSF+VVizWietSxyebPYfBJYxMrkRcU4ScnqlMjwNFhVz7skn8TH9LvetZ0CezvftWmEFqfpcCGF/FbkMjmbDhPisiSwiJUZzVKm2ZRGYBtfDXYyihmmE5Rd0QgW23ds2Xotj2kx4XQaM0tzo9eOApuizpmkiWyWFJcmgUWszHCaMs0nxhtOlnXNYJIwTE/Zal+/VWDPYtsWnabDaXrK0dBsrUUpRTNymOZTmQ4Tl/bMwKKU+ohS6lAp9cmnHusrpT6mlPrM2e+9xQ5TbJqqqucZSz6jGZmdBjsdz9vDuK6+9gX7d9NqeCRlzDhJiDOzhfZm5DDJJLCIy7tIxvKDwAff9th3Ab+otX4F+MWzj4W4sEmSMytiAt8y2lqlejNbGdFtbV62cs5WinbDYZTOW96b1Ahd4nLGJMmoKvPLmsXme+YrWmv9cWDwtoc/BPzQ2Z9/CPhmw+MSG26a5MR5TMPwMuPhNGWSTrGdeqknQa7CefPI0dRsPcS2FIFnkxQJ08RsDUfcDJd9q7intX4McPb7rrkhiZtgEmfERUxo8PhhrTWDccIwG9JdYDPLdWFbFs1wMc0jo8AmKWIJLOJSpHgvlq6uNXFakFaJ0WXG4zhjnM1AlcaXL6+rTvNs38ksoawqY9eNAoeZBBZxSZcNLE+UUrcAzn4/NDcksemmSU5cJgSe2WXGw+l8F/8iNluuK8e2CHyLuJgxNNg8MgycN6fC5Mhi8bwuG1g+CnzH2Z+/A/gZM8MRN8E0yY1PgxVlxSRJScuExoJa76+rVuQyyczulrcthecqkjIxvldGbL6LLDf+MeD/AT6glHqglPpLwN8Gvl4p9Rng688+FuJCzgv3JqerhtOUaTEj9O21PRVyUcLAptQFsyw1uvQ4Ch1iKeCLS3jmK1tr/a3v8ldfa3gs4gbQWjNNMpIy4XbQMHbN+S7+Cf3uzcpWYN5DbL73ZMJw2iLyzfwMosBmPJQ6i3h+UrwXSzVLC5IixXEwtn8lzgqmWUJNaXR67SJqNEleMMtypmnGLMvJSnNF9Itqne2WH89SY6dMRv5bGYu00RfP42YsnRFrI04LkjIhMhgAJknObAF7Yt6NRpNkBbN0/isrMypdofX8UC7bcghdjyhwaYY+vrP4YOc6Nq4LcZEyS3Na4dU3hzqOhWXXJEVGmpeEhjIhsfkksIilSrL5jdiPzN1sp2d7YnZai386x1nB8SgmKVKSIiEpEyxLz7MvpaDSFGWNUjZhHBK6EQ3fZ6cT4S44wES+TZzNmMRmAgvMz2jJyowkk8AiLk4Ci1iqJC9Jy4yWoV3xaV4S5zk1Jb63uBYuGs1gknA6iTlNh9TkhL7NdtPDcT5/Si8vapI04SieMssj8qJkqxMZu+G/kzB0OJzFTOMM3W+iDCxi8D2bLE9JsgIIrz5IcSNIYBFLlWQFWZXhe2YK99MkIy5mRMHisoGirDgczhglU0bZiEZk0YwCFO9+4/ZcC8/1aDU1w0nKk1lGVvXoNRpsdyOs9/jay/IdG1RNXGQkeWmkiO97FuN4fj0hLkoCi1iaLC/JyvytqSMDJvG8vtLtLOapXOmag+GUk+kpaRXT7/h47sXHbilFv+0TpyUn02PKukSj2e023jMwXVYUOCRFzCTOzAQW1yatsrOMRYiLkcAilibJy3l9xTMTVMq6ZpblFDon8CMj13xajebJYMbpbEROwk4/uPRJlFHg4DgWJ8MhtrJxbIutlvkxR4HD6TA2dma951qUVUFalFRVjW2wE7XYXPIsEUuTZAVpleG7Zqat5gsBUjxHGT96WKM5Gs44jcfExZSt1tWPN/Yci37bZ5CecDKZMYrNtWA553sWeZ2T5AVVffWW90opfM8iK1OZDhMXJoFFLE2SnWcsZgJLnM7rNcEC9q4Mpymn0xmjbES/62MZeqfuexadpssgPuF4ODV+SJelFJ5rvbmSywT/zZVhMh0mLkYCi1ia88K9qXNSkmy+wsxUBnQuKysGk5hBOqDf9nHfYdXXVUSBQxgqTtMhJ5OYGrObD33XnmcYhgKB79mkZWb0zBex2SSwiKXQWpPmJXmZPVfx+72u9+aeGMMZy8koZpyNiQLLWD3o7VoNl4qMSTJjZPgI4MC3yarMWDbkuxZ5lRvLgMTmk8AilqIoa4q6wLaVkVb5SV6SVRmug9Gmk7M0Y5LGpGWy0Pb7CkW35TPKRgynZs9SCVyL9KwmYqIVi+vM6zb5ClrViOtJAotYirysKOrS2LTSmwsBDB4/rNEMpinjbEK76RpfEPB2nmvheYpJPjPb8t62sCzIypysuHowcB2LsirJDVxL3AwSWMRS5EVFURU4jpmbdZIVpGVqNLBMk5xpmsx31S9ww+XT2tH8BMhRnJrNWvx5ncXEdJhlKZTSFHVJWV19pZnYfBJYxFLkZUVZl7imOhqnBXmZERisgUzinLiY0YzchWxefCeOY+F7NnGZMDHYnt53LVKDK7nmWUshWYu4EAksYinOMxYTU2FlVZGXJTW1scaOeVmRZPnCli+/l0bgEOczo+ee+J5NXplbyeU6FkVdSJ1FXIgEFrEU84zFTGApyppSl5hsFjxNMuJyflzyomsrb+d7FlpXxLm5EyAdx6KoSgpDU1fzwCJ1FnExV3qVK6X+a6XUp5RSn1RK/ZhSKjA1MLFZ8qKiMBVYqoqyKo31G9Nopklh/Ljk5xGFNonBY4BtNa+LlFVFaWAHvuMoikoyFnExl35lKqXuAP8l8BVa6y8BbOBbTA1MbJa8rCiq0kjx/q2MxdwKs6RIwaqM7LG5jChwiMuYaZpRaTNZhmMryrqkLK9+vTenwiRjERdw1VeRA4RKKQeIgEdXH5LYNHWtKaqKWldGgkFR1WcZi6kVZiVJkS79WOOn2baF4yiyMjdWF3Fsi6ouKQysNnuzeC8Zi7iAS7/KtdYPgb8HvAE8BkZa618wNTCxOcqqpqrNBYKyrOYZi6Gly2leklcZvrfaZt++a5EbbJ3i2BalLikMZCyOrSh1JcuNxYVcZSqsB3wIeBm4DTSUUt9uamBic1R1TVXXRnbcw9lUWF3iWFfPfipdk5YlhTa3x+ayPMcmq3JSQ61TbGe+gq40kGVYSlHXNZUEFnEBV3llfh3wqtb6SGtdAD8F/HtmhiU2SVVrakwGlopKV0YyoCwvycsc17GWvhrs7TzPotDz1ikm6iy2dZaxGAgGlqWodUVVm22YKTbTVQLLG8BXKaUiNT9c+2uBT5sZltgkVVVT1xW2gcBSa01Z19S1mUOn3pwGM9zB+DIspeZ9uaqcLL96luHY81YsJqbCzt8UVLqmluAinuEqNZZfAX4S+ATw22fX+ieGxiU2SFVrKm0mYynKitJQkAJI84q8KvAMt96/LM+Zn6WSFVefDnNsqHRprFXMPGupjRwgJjbblaqVWuvvBb7X0FjEhqrqmlqbCQZlNa+v2IbqIUU531/jOZ6R612V61ikZUFuouDuWFR1RVlptNaoK071WRbzOkutWVzfZ7EJVp//i433VsZy9Wu9Wbg3MA1Woyl1jda1sRMir8qxLarKTJFcMT+ioKzMNI+0z+ssUsAXz7Aeryax0eY1FjNTYWVVGVu6XJY1lcFpNRNsC2qDy3odRxkt4Fe6pjZwxovYbBJYxMJVtabWlZFVV+VZ9mNqWq2qK2xD+2tMsGxFped1JG3gyGJbKaq6ojZQF7FlZZi4IAksYuGquqZGm1lurAFD75jfrP2syTQYnE1fmdwzoua90Ez8xCxLzfckyVSYeIb1eUWJjaU1Z8VjE9ea3yJNXOvNjGXNXgW2c561GAgHCtAYOaJ4/iM3E6TEZluzl5TYVBpDgeXNaxnYE1NrakPTaiadT19VBpYJK5TJJG+e/UiNRTyDBBaxcCZvRFqbe8c8v5aZIPWRn/sEH/m5TxgYFaDOgoGZS50FAxPXWq8ALNaXBBaxHFobOe5Xa9PZz/qZ/9sMBQPm1zLFZPYjNtdq27kKcQnGAou+esXgPEt57WD4OR//xW/48qsNziBj01dn9RohnkUyFnEtybvmi1MoM9NY8jMXFyQZi1gaE9URpc4K0kZqBlx5eu48MzGZqWgNKGVsug8DU5DnFGZW5InNJhmLWDillLG7kVLKSK0G5jdJC7WGq5z0/AZu4kr6PGMxca11+zmJdSUZi7hWzm+4Jm5yljWfIjLRBt5kTaWqNZZjYxlorqbPg5ShLMPYtJrYaJKxiIUzO32ljF3LsW0cy2HdNpLXpca2bCMnZKIBZWapsOlpNbG5JLCIhbMtC1tZZg6IMnhfc2yFpay1alGi0VRaz39mJg4fO58Ku/qVqGuNpay121Aq1o8EFrFwtqWwlG2keaGtFJZlGemwa9u2sXGZoquzm7eysAyEg0prLMs2krFUtcayLGwTmZTYaPIMEQtn29Y8GBi4gbvOfPqqrK5+LcdWOJZtpieXIWUNtrKNnDcDUJUaR9m4Js6vqTW2ZCziAiSwiIWzLXU2FXb1azm2hW05lAZOWLSVhWPZKJSRtvImVHWNbds4BqbBNJqqntdrXOfqRy/XGixlr1U3aLGervQMUUp1lVI/qZT6XaXUp5VS/66pgYnNYSlzU2GuYxnLWGAeqBzlYOCIeSOKssZRjpGMparmU1eubWYqTDIWcVFXffb+Q+BfaK2/CPhS4NNXH5LYNLZtrnjv2NbZSi4zgSXwHTzbJ1+TyJIXNZ7tE3hX3wlQVhpHOUayFTivsdhSYxHPdOlniFKqDfwx4MMAWutcaz00NTCxOWxLYVmGiveWhWNZKCwqA9NXgWvjOS55sfqpMI0mL2s82zUUWGps20z2o+eN1eaLCiRjEc9wlWfc+4Aj4H9TSv26UuqfKqUahsYlNohtzVc4GVluzHkB3zYyHRZ4Dr7tk5X1yo+wKop5huG7DrYyMxU2z1gMXKvWWMqWoCIu5CrPOAf4cuAHtNZ/FJgB32VkVGKjnC83NhdYzNVZbMvGc52zOstqA0tWlPi2T+i5Rq5XVhrHUMZSv7nUWAKLeLarPOMeAA+01r9y9vFPMg80QnyO+Uouc8t6XdsbdqQ/AAAYWUlEQVTGUWZWhgEE7jxryfOrn9h4FUWu8RwP3zNTEymrer7U2ETGUs2XLZtaBi0226WfJVrrA+C+UuoDZw99LfA7RkYlNoptW3iOc1YXMVDAdyxs29zKsNB38B2fZIWBpa5rsrI+y1jMtPArqxrHcnDtqweq4uxanqGFAGKzXfUZ/F8AP6KU8oA/BP7Tqw9JbCLXtnBtl6Kssa/4jtw9WyKcGdp7EgUeoRsyTIfz4rmJVirPKU4rfCegEXjYlqmMhXlgMfDvKUqNY7l4rgQW8WxXCixa698AvsLQWMQG81wb93xj41UDi2Pj2A5VZiZjsVC0Qo9REpGkKV7TM3Ld5xGnJR2vQys0871rrdH1PLA4JjKWssa1XclYxIXIhKlYCs+xca15xnJV84zFpjRYbG+GHpHXIE6rpa8Oy8saXduErk8UmAks59NgJnbwA5RljSsZi7ggCSxiKTzXxrENBRZnvvdEa0VpqDOx7zpEnodreaTZcmstSVISuSHNyDN2iFmW17iOS2AoEMwzFqmxiIuRwCKW4q2MxVzBPXB8ssJcEGhGPpEbMU2Wtwu/rmvirCJyI5qhb+y6eV4TOAGhb2bpclFqyVjEhUlgEUvhufOuxCYyFoDId/GdgDQzt2O+Gbo0vQhdWSRLyloms5LIiWhFAb7BbCDNSwLbNxJY6lpT1xrXdmW5sbgQeZaIpTjPWEztPQl9l8AJjGYstrLotkLafofJLF94raUo59lKy2/RbYbGrltpTVGCb6znWI1ju7iOJccSiwuRwCKWwnVs3LO9JybOqw88B8/2yIvayKFf59qRRysIcZTPNC6MXfedjKY5Lb9Nx3C2kmUVvjPPViwDgeDNaTCpr4gLksAilsKyFL7r4J4Fg6uyLYvIc/Esjyw3Nx2mUGy1Izp+h2lcGZu6e7s4Lakri7bXpNc2l60AZEVF4PiEvpmNllle4duekexH3AwSWMTShL6Lb7DgHp7VWTLDLe9Dz6XTCOn4HQbDjNrQyrNzWV4zmhb0wj79dmik4eTT0qzCt32iwEzhPsvfyoCEuAgJLGJpQs8hsH1jGUbon13PYAH/3FYnohe1Cd0GJ5Pc2HRbUdYMxhn9YIutVoOWwZVgMG+9nxU1vhMYaw3z5vUMZUBi80lgEUsT+i6e7ZMZ6skVnRXw09z8pkYLxV4voh91cQgYjq9ezK+rmsEwo+N36DUb9Ftmp8BgflCYa7kEnmtkxz1Ams8zIMlYxEVJYBFLc97sMTUUWFzHJvA9HMs1Wmc5Z1s2e70m/bCHrlxOhhnVJafF8qLm6DQjcpv0ojY73YaxzZBPi9OSwAlpGtrBnxcVjnIIXFlqLC5OniliaQJvvqmxLDF2tHAr9IjciNmCNjV6js1+v8lucxtfNTg8zZ5rj4tGM57lnIxyOkGP7WaPvV6EtYCgAhAnJQ2vQTM0VV+pz+orMg0mLk6eLWJplFLzExsdjzyvCIOrP/1aZ7vlD+MxWx2z9YpzgetwZ6eFP7LxZz6nkyFJWhIGNr5nv+OS3rqa71GJsxJb++xFXXqtkF4rXEimAvP9JmWlCN15l2QT5ivCmjINJp6LBBaxVPPpsICsyAkDA9fzHCI3AG2Rl9XC9lrYymKv2yTwXFzbJSkS4lnKcJLiexaOpVAKaj1v2JgVmsANaLstmn7EdicydjLku5kl5bw1TOAZ28iYFhUtx9wZMeJmkGeLWKrQd/FtnzRPjFxPKTXv8TWNiNMUr7nYTXydyKcZOEyTiFlakGQ5aZVS1TVa19jKwnNs+sE8a2gELlHgLWzq62lxWtJ2O7Qic23/s7xmuyGFe/F8JLCIpYp8l9ANGcfHxq7ZiuYt7wfxlG5zMdNhT7Mtm07DptMIKMqKJC/n559ojVIKx1aEvmt8f8p7qaqavNBEUUTD0JkuVa0pCk3gmGkNI24OebaIpWqGHpETkhfzxoaWdfV38s3Ao+mFHMc2WVHhL7EDr+vYuGvQ6mSSFDTcBu3Ix7HMBLQkPZtaCz0j/0/i5pBVYWKpLEvRCD18OyBOzazkUkrRbga0vCbT2fJa3q+TaVzS9Ft0mwYKV2fi9OycGEMZkLg5rhxYlFK2UurXlVI/a2JAYvM1Q4+GFxltTd9tBjS9JtOkMNqU8jpI8wpqh6YXGlsNBhCnFeFZxiLE8zCRsfxXwKcNXEfcEM3QI3QjYxkLzJcEN4MA3w6NXvc6mMQFLb9Jp+EbWw1W15o0rwglYxGXcKXAopS6C/yHwD81MxxxEzRDj9AJSfPaSAv9c92z6bDxbLHt7tdJpTVxWtF0m3QMToMlWUVgBzQDD1t23IvndNVnzP8A/A1gMb3FxUZybItm4ONZntHpsHbDpxk0qUplrB/ZuptMcyKnMT+B0jW3FmdeuG9ItiIu5dKBRSn1jcCh1vrXDI5H3BDzrMXsdJhtWfSbAZ2gw3CaG7vuuqq1ZjQr6QQdtjuR0WvPpHAvruAqGctXA9+klHoN+HHgTyilftjIqMTGOy/gm66H9DsRbb9FlmuycrOzlsmsILADOmFktGivtSbJpHAvLu/SgUVr/d1a67ta63vAtwD/Smv97cZGJjZaK/KI3AZxWlEbakgJ4FgWvWZE2+8wmmxurUWjGU8LukGXrY7Z9vuzpCSwQ5qBvxZ7dMT1I1U5sRKuY9OOAiKnYbwz8VY7pO21SLKKfEOzlmlc4loBrSAyfljYfE9M0+ieGHGzGAksWutf0lp/o4lriZuj2wxo+U0msdnMwnVs+q2Ijt/ldLx5tZZaa07HOb2wa7y2AmfLl70Wncbi2+OIzSQZi1iZNzc1xqXRZccAO92IXtAhzzG68mwdjKY5gRPRjZp0GmazijSrsHBp+qGxnmPi5pHAIlYm8ByaQYhrecSp2Zu/Y9tsdyL6QZ/BKDV+dPGqFGXFeFrSD3rs9hrGrz+JC5qeTIOJq5HAIlZqvqmxxdTwdBhAvx3RjVpY+Iynm1HIH4xzOkGXfqtBtIBW9pNZQctwzzFx80hgESt1Ph1mus4CYCnFXr/JVrTFcFpQXPNC/jQpKHKLXthlbwHZSlHWlKWi5TeMnukibh4JLGKlGoFL04+gtufNFA1rhT5bzSbdoMfRMLu2U2JlVXMyytlpbLPfa+LY5pcBT2YFTb9JOzLXc0zcTBJYxEoppc5Wh7WZLKjH162tJttRF6v2GU2u3yoxjebwNKXjd9luLW6aajwraHsyDSauTgKLWLl+O6TjdxhOcuOrw2De6uXWVoudaJvxrLp2fcRG0xxVe2xHPfa3Wgv5HlleURTQDiSwiKuTwCJWrhX5dKIGrvKNb5Y81wg8drpNtsItngxSyup69E2N05LxtGIn2ubWVsvY6ZBvN5zkdPwu/VYop0WKK5PAItbCdidaePPI3W6D7WaXtt/lyUlCteYHgmVlxfEwY7exx163tbC+XVprRmftYRax4VLcPBJYxFrYaoe0/Q6zuFpYNqGU4u5um51mn8BqcjRI1raYX1U1T45TtoJtdtttdnvNhX2vaVziWQGdKJJNkcIICSxiLZy3YWn5bUYL3HPiWBYv7rTZaW6jap/jNVwpVtU1BycJbb/LdqvLrQXVVc4NJ/m8mWXbbDNLcXNJYBFrY7sT0fE7C1+55bkOL+522GvuUuYOh6frszO/rGoeHyeE9jyzurvbxlrg0t+yrInTmk7QZkumwYQhEljE2ug0fDpBk7q2SRZ8bn3ou7y01+N2+xaUHk9OEuoV11zysuLxUULL7XKrs8O9vc7CivXnhtOctt+i1wxx5AhiYYg8k8TaUEqx1YnoBl0GS+hKHPku9/a63Grt4+iIg5NkZavFkqzi4DilG2yx397mpb3OQjZBPk1rzXCc0wt6UrQXRklgEWtlt9ugH/SYJRV5sfj9JoHn8PJ+l1vtXRp2h4dHCdNkeX3FNJrBOOPoNGM72mW/0+PFvQ72gjMVgNG0wLPOuiTL3hVhkAQWsVY812an26Tr9xiMlrNL3nMd7t3qcbe3w35jn+Go5miYLnw5cl5WPDqKKTKHO607vLi1xQs7nYXWVJ52MsrYirbY7y9uxZm4mZxVD0CIt9vrNXgy7PMHgwHbXR/HWfz7H8eyuLvToRF4+I7HyWzAgydTOk2HdsMzerMvq5rhJGeWVvSCHltRl9vb7YV0K343k1mBrT16UYu+rAYThklgEWsn9F22Ww2OZx0G45jd/vJufL1WSBS4RAOPYRxzmp7yYBrTabo0I+dKU1R5WTGZlUzjkpbX5m6rw1YrYrfXWMrU19OOhynb0S32ek1pOCmMu3RgUUq9APwzYB+ogX+itf6HpgYmbrb9fpOj8RavDkdsdQPsJbYZ8V2Hl/a6bCURR8OQUTJjlI4ZTmJ8T9EIXULffuYqKo2mKGvitGSWlFSVouE2udvq0G1G7HQjfHf57+2mcUFdOfTCjhTtxUJc5VldAv+N1voTSqkW8GtKqY9prX/H0NjEDdYIPfrNJkdxm9NxynZ3+cXlZujRDD0mScRw2mISZ8R5zHQ25XSconWN61p4jvU57/qrWlMUFUWpsS2HyAnp+w0aXkgr8um3QgJvdZMFJ6OMrXCXvX5T+oKJhbj0s1tr/Rh4fPbniVLq08AdQAKLMGK/3+R4ssXro1fpt/2V3QRboU8r9CnrmmmcM45T0qwkr0ryqqCsC+q6RjNfMu0pi07o4toevmMT+i7thk8z8FY+7ZSkJUWu6Le77Ei2IhbEyNsmpdQ94I8Cv2LiekIAtBs+/WaT47jFyShjp7faJbGOZdFtBm+2lS+riqyYL4uu9XzvvqUUllL4ro3n2kuvnTzLk0HKdrTLXq+JLRsixYJcObAopZrA/wH8da31+OpDEuItd3faDGc7vDp8lW7Lw13CCrGLcmwbx7ZpXJMtIONZjq4ctru9hRxtLMS5K71KlVIu86DyI1rrnzIzJCHe0gw9djttun6Po9N01cO5trTWHA5Sdht73N5uSbYiFurSzy41nyz+MPBprfXfNzckIT7Xne0W29EWs7heeA+xTXUyygisBluNtqwEEwt3lbctXw38BeBPKKV+4+zXNxgalxBv8j2H21ttdqJdDk6ShRxfvMmKsmYwKtht7PHCbmflCwjE5rvKqrBfBuQZKpbi1laLk3Gf4fFwftphSw6kuqgng4Re0GOv26bd8Fc9HHEDyESruBYsS/HCbpv95j5HpylleT3OrF+1aVyQJrDT2ObuTnvVwxE3hAQWcW30WuFZIb/Po+N41cNZe+eHht1q3ebOdgfPXWwbfiHOSWAR18q9/S77rV3qwuV0nK16OGvt4Dih7fXYa3dlebFYKgks4lpxHZt7+z1ut+5wdJqT5Ys/s+U6Gk5yitzmVmuPl2/1pGAvlkoCi7h2us2AW/0Ou9Euj45iWSX2NnlRcTjIuN26w0t7XZkCE0sngUVcSy/stNlrb+MSycbJp2iteXSUsB3tcKvXkbNWxEpIYBHXkm1bvLzfZb91i9GkYhov7zjhdXZ0mmLVAfutbV7c7ax6OOKGksAirq1G6PHiTpc77bs8OkpIb3i9ZTjJGU81d9q3ubfflbYtYmXkmSeutVtbLe70+uw1bvHgYHZj97dM44KjQc4L7Rd4eb9PK5KNkGJ15Ghice3d2+9SlBVFXXD/yQkv3bpZB1ilecWjo4S77Rd5aafPTleWFovVkoxFXHuWpXj/nT53OnsEVouHhzdnpVhZ1jw4mLHXuMWdXp87srterAEJLGIjOLbFK3f63O3cRpc+T042f6VYVWvuP5nR9be43d3m3n531UMSApDAIjaI7zl8wZ0t7rbvkCYWjzd4j0tZ1bzxeEpotbnT3ecL7vRv1PSfWG8SWMRGaYYeX3h3m3u9lygyj4cbGFyKsub1xzOaTo+X+nd55U4fR1aAiTUiz0axcTrNgA+8sMO93otQhtx/MqOuNyO4ZHnF64+mdL1tXuzd5gMvbOF7sgZHrBcJLGIjNUOPD7ywzb3uC7i6yRsHM8rqei9FTrOKNw5mbIf7vNTf5wMvbOE60q5FrB8JLGJjRYHLF724zUu9u0RWl9cfz0iz67mJcjTNeeMgZr9xm5e293jl7pZsgBRrS3JosdF8z+GLXtzGtiwOxj5vHByw1fXY6lyPDYRVrTk4TkhTxYvtF7nd73FvvyvdisVau9JbHqXUB5VSv6eU+qxS6rtMDUoIk1zH5ote3OYL9m7xcvdlJmPFGwfTtd+ln6Qlrz6cYFcN3t9/mQ/c3ZcW+OJauHTGopSyge8Hvh54APyqUuqjWuvfMTU4IUyxLMWLex3aDZ/gwONgcsirjwbsb4W0Gu6qh/c5tNacDDNOxyX7zdvstfu8fKtHIEV6cU1c5Zn6lcBntdZ/CKCU+nHgQ4AEFrG2us2AL763S+PA42DU5PHJYwbjjN1eQBis/sY9muYcnab4VsTL3Re4s93lznZLshRxrVzllXQHuP/Uxw+Af+dqwxFi8VzH5pW7W3QaAc3jiEF8ysMnxwRBxnYvIPCWv9JqGhccDlIs7XGr8QJbjTYv7M4zLCGum6sElnd6C7UZmwXEjbDba7DVDjkYNHhy2uU4HvDGoxMakUWv7REtOIOpa80sKTkZZdSVw250m36jw62tFlvtULIUcW1d5ZXzAHjhqY/vAo+uNhwhlsu2Le7stNntNTgYNDgYdBmkpzw+HKGJaTdd2k3PWBaj9TyYjGcFk1lB4ET0gj22oi63tlpsdyJpzSKuvasEll8FXlFKvQw8BL4F+DYjoxJiyVzH5oXdDrvdBkejNoNxwiSNGWdjHhyMUVZFM3TwPZvAs/Fc60IBoKxqsrwmyyuyvGISl3iWTzvos9tr0Y5C+q2Q7U4k+1LExrh0YNFal0qp7wT+JWADH9Faf8rYyIRYAd9zuLvT5u5Om2mSMxj3OZ0kTLIZsyJmNskYVBl5meE4Ct+1sSzFeYzRgNbzgJIXNXWt8G2fwAkIHJ+tTpN2GNJvh/Raoaz0EhtJLapB32g0evPCnY6cvS2uL601kzhnluakeUmSlSRZQVbl5FVGrTVa12g0CoVSFrZl49sevuMR+i6h5xD6Ls3QIwrWa3mzEM9rNBq9+edOp/N5qbu8XRLiGZRStBv+56zQ0lqT5iVZUVFV9VmmolFKYSmFbSlC38VzpZeXuHkksAhxCUrNA0foS/YhxNtJtVAIIYRREliEEEIYJYFFCCGEURJYhBBCGCWBRQghhFESWIQQQhi1lOXGT2+mEUIIsdkkYxFCCGGUBBYhhBBGLaxXmBBCiJtJMhYhhBBGXfvAopT6c0qpTymlaqXUV7zt775bKfVZpdTvKaX+1KrGuApKqe9TSj1USv3G2a9vWPWYlk0p9cGz//vPKqW+a9XjWSWl1GtKqd8+ey78f6sez7IppT6ilDpUSn3yqcf6SqmPKaU+c/Z7b5VjXJZ3+VkYvV9c+8ACfBL4j4CPP/2gUuqPMD987IuBDwL/WCl101rN/gOt9Zed/fq5VQ9mmc7+r78f+NPAHwG+9ew5cZP9B2fPha949qdunB9kfh942ncBv6i1fgX4xbOPb4If5PN/FmDwfnHtA4vW+tNa6997h7/6EPDjWutMa/0q8FngK5c7OrFCXwl8Vmv9h1rrHPhx5s8JcQNprT8ODN728IeAHzr78w8B37zUQa3Iu/wsjLr2geU93AHuP/Xxg7PHbpLvVEr91lnqeyPS/KfI///n0sAvKKV+TSn1n616MGtiT2v9GODs990Vj2fVjN0vrkVgUUr930qpT77Dr/d6B/pOB5Jv1BK4Z/xcfgB4P/BlwGPgv1/pYJdv4///n9NXa62/nPnU4F9TSv2xVQ9IrBWj94trcdCX1vrrLvFlD4AXnvr4LvDIzIjWw0V/Lkqp/xX42QUPZ91s/P//89BaPzr7/VAp9dPMpwo//t5ftfGeKKVuaa0fK6VuAYerHtCqaK2fnP/ZxP3iWmQsl/RR4FuUUr5S6mXgFeD/XfGYlubshXLuzzJf5HCT/CrwilLqZaWUx3whx0dXPKaVUEo1lFKt8z8Df5Kb93x4Jx8FvuPsz98B/MwKx7JSpu8X1yJjeS9KqT8L/CNgB/jnSqnf0Fr/Ka31p5RSPwH8DlACf01rXa1yrEv2d5RSX8Z8+uc14C+vdjjLpbUulVLfCfxLwAY+orX+1IqHtSp7wE8rpWD+mv9RrfW/WO2Qlksp9WPA1wDbSqkHwPcCfxv4CaXUXwLeAP7c6ka4PO/ys/gak/cL2XkvhBDCqE2eChNCCLECEliEEEIYJYFFCCGEURJYhBBCGCWBRQghhFESWIQQQhglgUUIIYRREliEEEIY9f8DLGuZ3oxV/MIAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -962,14 +991,14 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -995,14 +1024,14 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1038,14 +1067,14 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1081,14 +1110,14 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1113,7 +1142,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -1123,7 +1152,7 @@ " [ 135.701 , 1092.29 ]])" ] }, - "execution_count": 22, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -1135,7 +1164,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": { "scrolled": true }, @@ -1144,7 +1173,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1168,14 +1197,14 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1203,13 +1232,13 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "72e55a1b5ba944dc89bacb0771e873e6", + "model_id": "c5f05c3a9276482983846d668e17c601", "version_major": 2, "version_minor": 0 }, @@ -1282,7 +1311,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -1291,7 +1320,7 @@ "0.9540" ] }, - "execution_count": 26, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -1310,7 +1339,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -1319,7 +1348,7 @@ "-0.9178" ] }, - "execution_count": 27, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } @@ -1339,14 +1368,14 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1370,14 +1399,14 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1413,14 +1442,14 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1470,7 +1499,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 32, "metadata": { "scrolled": true }, @@ -1479,7 +1508,7 @@ "data": { "image/png": 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CJY28fKQT31w/dWU+1hTKbBuR+HZvCGI3j9E1OMjJCyNGlyNukgRLmhibnuPAyYsEg33cv01WkRXJwWaFvY0BAoFunn/7PLGYtFqSgQRLmnjh3Xb8gX6a1s5T5JYVZEXy2LE+hMs+ycDYIO+d7Te6HHETJFjSQP+YhyPneohEBrlni7RWRHKxmOG+pgD+QDcvvNsuJ00mgRsGi1LqCaXUmFLqzAe2fU4pdVYpFVNKNa9siWK5njt0nmCgj1218+RkSleCSD6bq8MUZs0wPj3Ir070GF2OuIGbabE8CTz0kW1ngMeAg/EuSMTXwPgspy8OgB5mzyZZZFIkJ6Xg/q0BAoFe3jh2kahcECyhWW70B1rrg0qp6o9sOwegbnK+aktLyxJKu3Wr9TrJ5JXjg4xPnGdr1Tjz3hnmvdf/+/Hx8dUpLEXJ/lu+a+3DHCs4TDE6u8/x9IsmNla4V7my5LHSx8La2trrPi5jLCksEI5ypm8KHZtk61qf0eUIsSxKwdZqH1pPcKxr0uhyxHXcsMUSD83NKzsMcymdV/p1ks2vTnST4WpjbSlsXJd73b+99CuxsLBwNUpLObL/lu9m9uFeN7T0BJnTFsrX1lOan7Va5SWF1ToWejzXX79NWiwpSmvNgdZeQsEhdtXJNexFanDYYEt1kFBwmAOtvUaXI65BgiVFdQ5MMTA2itM6w4aKsNHlCBE3O+uChELDvHu2n2BI1rtLRDcz3fgZ4D2gXik1oJT6XaXUZ5RSA8Bu4CWl1GsrXai4NW+d7CEUGmZHbRCz/HwQKaQkN0ZFvh/f3ChHzg0aXY64ipuZFfbFazz0XJxrEXEy4wtwvHOQSGSU5vXSDSZSz666IM+/P8SB1h72bKm86RmqYnXIb9kU9PbpPgLBEerLA2RnyAmRIvU0VIaxm6fpHR2la2ja6HLER0iwpKCj5wcJhUbZWSutFZGaLGbYVhMiFBrl6HnpDks0EiwpZnTKx9DEFDbTLNXFMrApUlfDmjCR8CStXaNyrZYEI8GSYk5dHCUcmaKuPCyD9iKlledHcdrmmPBMMzA+a3Q54gPk0JNiWrtGiYQnqauQ1opIbUrBhoqFVsuprlGjyxEfIMGSQub8IToHxolGZ6gtlXNXROqrLw8Tjix0h4nEIcGSQk53jxEOT7O2OITDZnQ1Qqy8daURlPbQMzLBjE+uNZQoJFhSSOuFEcKRSerlTHuRJqxmqCkJE45MSXdYApFgSRGRaIyzveOEw1PUl0uwiPSxoSJCODxFa9eI0aWIRRIsKaKjf5I5/xRF7gC5Lpl6KdJHXXmYaGSKc33jsnZYgpBgSRFne8aIhKepL5cvlkgvLqemLC9EMDhD5+CU0eUIJFhSRu+oh0jUy5pCCRaRfioLI0SjXnpHZowuRSDBkhK01vSPeYhGvZTnRY0uR4hVV5oXJRL10Tt6/QtQidUhwZICxqbnmAv4yHKEcDllfEWkn7K8KNGol74xCZZEIMGSAnpHPcSiPsqktSLSVEF2DIvJz9SsF+980Ohy0p4ESwroHZ0hEvVRKsEi0pRSUJor3WGJQoIlBfSOeohGfZTlS7CI9FWeHyUW9ckAfgKQYElyMnAvxAIZwE8cEixJTgbuhVggA/iJQ4IlycnAvRALZAA/cUiwJLkJzzzRmJ8Cd8zoUoQwlFIL4RKNBRifmTe6nLQmwZLkPHMBdCxEtlOCRYgsZwwdC+KZkyX0jSTBkuRmfAFisRBZGTK+IkS2UxPTITxz0hVmJAmWJOeZC6J1iCxpsQiByxlDx0J45KJfhpJgSXKeuQAxHSJLZoQJQdZii0WuJmksCZYkprXG4wuiYyFc0mIRYnGMRbrCjCbBksTmAmEi0RAOaxSr2ehqhDCey6mJxUIyeG8wCZYk5lkcuJcTI4VYkJ0RQ8vgveEkWJLYjO/S+Ip0gwkBkGnXaB1idj5INCrfC6NIsCQxrz+EjkmwCHGJyQSZDo2OLYSLMIYESxILR6JoYlgtRlciROKwmjWaGBFpsRjmhsGilHpCKTWmlDrzgW15Sqn9SqnOxdvclS1TXE00pkFrTPLzQIjLzCYAvfD9EIa4mUPSk8BDH9n2V8CbWuta4M3F/4tVttCHrDEp+QIZ7VDbKIfaRo0uQ7CwZhhaE5NgMcwNg0VrfRCY+sjmR4CnFu8/BTwa57rETYhpzUKwGF2JEInDbFr4XkRj0hVmlKX2zhdrrYcBtNbDSqmi6/1xS0vLEl/m1qzW6ySK8+3jzHhm8HpnGR+PzzUoxsfH4/I86eJSK2XCuzBQ/LMDCz3GexqKDasp2S33M+ifV0x6JznZ2spobkacqkouK30srK2tve7j0jufxC41VLS0+IW47FIPmFLSlDfKUlsso0qp0sXWSikwdr0/bm5uXuLL3JxL6bzSr5NoPOoiLb19ZGVlU1hoW9ZzXfqVWFhYGI/S0sZjexf216WWymN7G40sJ6nF6zPozMgk317A9q1bKSvIikdpSWO1joUez/V7SJbaYnkBeHzx/uPAz5f4PGIZzAvTX4hq+WUmxCWxmAIUJhl8NMwNWyxKqWeAu4ECpdQA8C3g74AfK6V+F+gDPreSRYqrMykFyoSMURpPxlQSRzQGmNTC90MY4obBorX+4jUeui/OtYhbZDGbUCjCcrl7IS6LxkCZTFjMMoRsFNnzSSwrw4ZSNuYC8jYKAQsTWXwBE0pZycpY3rijWDo5IiWxHJcDk8mGzy9NfiEA5oIKjYVMpw2rRa4lYRQJliTmznSgTDZm/fI2CgHg8ytMyo4702F0KWlNjkhJzOW0YTLZ8AdNRGScRQi8fhMmk40clwSLkSRYkpjJpMjJtKOUFV9AusOE8M6bUMqGO9NudClpTYIlyS10h9nxSXeYEHj9CmWySVeYweRolOTcmXZMyoZXBvCFwBswYZIWi+EkWJKce3Fm2Oy8vJVC+PxKxlgSgByNkpw7045SNukKE4KFwXtlsuGWYDGUHI2SXH52Biazg0mvvJUivWkNE7MmTCYH+dlOo8tJa3I0SnKVxW7MJhdDU3IymEhvM3OKYNhOdoZLusIMJsGS5ErzXNhsLqZ9VvwhGcAX6WtoyoLZnEVVcY5ci8VgEixJzmw2saYwG7PZxbC0WkQaG54yYza7qCx2G11K2pNgSQFVxTmYzS4GJyVYRPoamlwIlioJFsNJsKSAqmI3Zou0WET60hoGp8yYLS6qinOMLiftSbCkgKqSHBnAF2ntgwP3uVkycG80CZYUIAP4It3JwH1ikWBJATKAL9KdDNwnFgmWFHFpAL9/XIJFpJ+BCRm4TyQSLCliQ2UBFmsunUNWo0sRYlUFQtA7bsNqzaGuIt/ocgQSLCmjoboQhy2PgUmbXJtFpJXOYSsmUw61FYVkOuU694lAgiVFOGwWNlQWYrbk0jFoMbocIVZNx4AFizWfpppio0sRiyRYUkhTTTFWSz4dg9IdJtJDNAYdg1asljy2rJNgSRQSLClkS00xVmseF4ashKNGVyPEyusbNxOKZVOan0dxnsvocsQiCZYUkpvlpKoknxhuukekO0ykvvaBhdaKdIMlFgmWFNNUU4LVmkf7gHSHidSmNZwfsGK15tO0vsTocsQHSLCkmKaaYizWAtoHLWhtdDVCrJzxWRMzc06yM3NZV5prdDniAyRYUkxFYTYF7lzmgrLasUht5/sXWiub1xVhMskU+0QiwZJilFLsqCvFaivi2AWZ0y9Sk9Zw7IINq62IHXVlRpcjPkKCJQV9bEsVNlsJp3rssiilSEmdQxZmA26Kc4tpXFtkdDniIyRYUlBxnotN1WVgKuDkRRnEF6nnaKcNu62UjzVVSTdYAlpWsCil/kQpdUYpdVYp9afxKkos396mKuy2Mo522GUQX6SUaZ+ic8iJ01HMnY1rjC5HXMWSg0Up1Qh8HdgFNAEPK6Vq41WYWJ6mmhIKcoqYnsuie1TOaRGpo6XTjtVaTHN9BVkZdqPLEVexnBbLRuCw1npeax0BDgCfiU9ZYrlMJrUw1mIv4/0OGcQXqSEShWNdNmz2MvY2VRldjriG5fyUPQP8jVIqH/ADnwBarvaHLS1X3Rx3q/U6ySIzEsY7a+LkjGZX9RRZzhuv8zI+Pr4KlaUu2X/Ld719eLY/g2lPPiW5EaaGupgevriKlSWPlT4W1tZev3NqyS0WrfU54O+B/cCrQCsQWerzifhzOa1sqMhF63xO9WYaXY4Qy3ayJxOlCtlRky+XIE5gy+p811p/D/gegFLqb4GBq/1dc3Pzcl7mhi6l80q/TjJyl6zl758O0zE2yyd227Fd4x2/9CuxsLBwFatLHbL/lu9G+3BgwsxMIJ81FRv46qP3Yr/WhzmNrdax0OPxXPfx5c4KK1q8rQQeA55ZzvOJ+Ftfnse6sjKC0SKOtMtAp0heb7Y6sDsq2bulSkIlwS33PJafKqXagBeBP9RaT8ehJhFHSik+s2cDDkcVb7c55IRJkZS6hi30jGXhdlXw0K71RpcjbmBZwaK13qO1btBaN2mt34xXUSK+NlYVsql6DVFKOXRWWi0iuWgN+086sDuqeWjXern8cBKQM+/TxGf2bMRhr+RIu5PZeWm1iORxts/KqCeHgpxy7tu+zuhyxE2QYEkT1SU5NNdXYbKU89Zph9HlCHFTorGFsRWHo5pP7a7HZpUVu5OBBEsaefSuDWQ41nDiYgYTs/LWi8R3vMuGx59HeWG5LN+SROTokkaK81zctWUdNtsa3jgprRaR2EIReOuUA6djLY/cuQGzWQ5XyULeqTTz8O46MjPWcH4gk4EJ6VYQietIu51AtIi1ZeXsqCs1uhxxCyRY0kyOy8F922twONby4vtOojGjKxLiSlNeEwdOZ+BwVPPYno1yln2SkWBJQ5+8vZbSgmomvIUcPCPTj0Vi0Rqee8+J2VrN7Q01bKyS1QySjQRLGrLbLDy+rwmns5aDZ12MTMvHQCSOIx02BqfyyM9ZyxfubTS6HLEEckRJU/WVBdy7vQ67fR3PvZchXWIiIUzPmXnjRCbOjHq+/MAWXHIyZFKSYEljj+3ZSFnhWia8hRzuzDK6HJHmtIZXT+Rd7gLbVisD9slKgiWN2W0WvvrgQpfY4Y48xjxWo0sSaexEd+blLrAvShdYUpNgSXOXusSgnFdO5EqXmDDElNfEwXO5KFXJlx/YIuuBJTkJFsFjezaS6yphfLaAAzJLTKyyWAyeP+wkEitnU2WxdIGlAAkWgd1m4ZPNFZhMazh4JovOIbnWhVg9b7Q6GJgqwOUoZd+2MqPLEXEgwSIAqCp0cVdDBRmZDfzkbZesJSZWxaluK++ed5OV2cCjt1XilAt4pQQ5eojL9mwsYueGekyWWp5+K1MuCiZW1MCEmZ8fySIzYxNfuG8r1UUuo0sScSLBIi5TSvG1h7aytqwWb7CCn7ydQUwG88UK8PoVPzyYic2+gbu3bWRvU5XRJYk4kmARH2K3WfjDR3dSkLeRnvFC9ssqyCLOwlF45kAmIb2WhrW1fOHeRlkLLMVIsIgr5Lsz+INPNZOVuZH32t2cvCjnt4j40BpeOOJkdLaEssI6fv9TO7DIcvgpR95RcVV1a/L50v3byMzYxAvvZ8kS+yIu3jtv40xvHjnZG/nGIzvJypDp7alIgkVc08eaqrh3ewN2+waePpDJpMwUE8vQ1mfh9RPZZGZu4nc+voM1RW6jSxIrRI4U4ro+f88mNtfUEVV1PPmmi2mf9IWLW9c+aOHZd91kZm7mkbs2s10u3JXSJFjEdZnNJr7xyE4aqhsIxdbz5BsuZuclXMTN6xq28KND2Ticm9m3azOfvL3W6JLECpNgETdkt1n4o8d2UVfZQCBaw5NvuPD5JVzEjfWMmnn6QDYORyP372jks3sbZAZYGpBgETfFabfyJ79xGzUVDfjC63hivwvPnBwgxLVdHLHw/beysTka2Lu1UaYVpxEJFnHTMp02/vSzt7O+YhNz4Rqe2C9jLuLqOgYXQ8W+mb1Nm/nyA1skVNKIBIu4JVkZdv7H53ZTV9lIIFrLE/uzZLaY+JDzAxZ+eMiNw7mZe7dv5qv7mjCZJFTSiRwRxC3LdNr4s8/dTsPaRkK6ju/td9E/Lue5CHi/w8aPDrlxOjdh14V+AAALu0lEQVSzb2cTX7p/s7RU0pAEi1iSS2MuTesb0aZG/uNNN8e75Az9dBWNwYtHnLxyrICMzG08fMc2Pne3DNSnK1mjWiyZ3Wbhjx+7jR+/5eLNY05efP8sYzMzPLgtgEl+sqQNX0Dx40MZDE4Vk+PeyFf3bef2hgqjyxIGkmARy2I2m/jifZupKMzmB/ttvH/hHGMz43xuzzxOmza6PLHCRqZNPH0gE3+kitKier7xyE7WluYaXZYwmASLiIs9W6ooyXPx7Rec9E+d5zuv9vOlvXMUumXd/VTV1mfhufdcmG31bKyu5b8/spMcl6yGLZY5xqKU+jOl1Fml1Bml1DNKKflUpbHainy++Vt7qK3cij+yge+8lk3HoPx2STVaw69O2fnx23nYHFvZs2Ubf/75OyRUxGVLDhalVDnwx0Cz1roRMANfiFdhIjnluzP4iy/cye2btmK1N/HMwVzePOkgEjW6MhEPPr/i6QMZHGorIitrG795zy6+9vGtWC0yK1D8mtJ6af3gi8FyGGgCZoHngf+rtX4dwOPxXH7izs7O5VcqkorWmrfPjXGobZBYrI981yQf3z5FSU7Y6NLEEmgNbQMZvHk6l1C0BKetjEduq2Z9SZbRpQkD1Nb+er03t9t9xdS/JfdTaK0HlVL/CPQBfuD1S6EihFKKPQ3FVBW6eOlYJlPeEX5waIBd66fZXTeL/MBNHnMBE6+35tI1motSVawvLeIT2yvIzpDp5eLqltNiyQV+CnwemAF+Ajyrtf4+fLjF4nav7HUXWlpaAGhubl7R10llK7kPQ+Eoz799njeOtTM/30lu5hif2e2nPD91+sfGx8cBKCwsNLiS+NEaTvVYebklA60qcWet4/P3NHJH45oVOT9FvsfLt1r70OPxXL4f1xYLcD/QrbUeB1BK/Qy4A/j+Mp5TpCCb1cxv3rOJbbUl/OfrOQyMdfPd17u4a+McezcHpPWSgHx+xQtHnHQO55CRUceWmnV85cEt5GY5jS5NJIHlBEsfcLtSKoOFrrD7gJa4VCVSUm1FPv/rK3t5/u1i3jiWy7vtnZwbGOPTt/mpLEyd1ksyi8XgZLeV149nEFOVFOStbCtFpKbljLEcUUo9CxwHIsAJ4DvxKkykpitbLz088UY3taU+7t8aoDhHznsxgtYLKxLvP+lgypeL01nDNmmliCVa1kkGWutvAd+KUy0ijVxqvbx2tJzXW4rpmxzg2y/3sbl6jnu3BMh1yVn7q6V3zMz+E04Gp7JxOKqpKqvgkTvr2bWxXFopYknk7DVhGJvVzKfuqGdvUzUvH+nkwMlS2of6ONs3yM718+xpDOJySMCslNFpE2+0OugczsJhr6KkqIJP3lbL3q3VWMyy2JtYOgkWYbjsTDtfuLeR+3es44V32jnc1sPx7l6OXxzmjg1+7tgYxC4zW+Nm2qf45SkHp3sysdsrKcir4MHm9TzQXIPDJocEsXzyKRIJo8Cdwe98YhsP7qzhuUPnaO3q453zvRxuH2V7TYhddSFyXTIGsxRaQ/+Emfc77LT1ObBYK8hxr+Hurev4xO21ZGXYjS5RpBAJFpFwKgqz+aPHbqNzYD3PHTpPx8AQLV3DvHd+hJrSALvqgtSWRmRp/psQCkNrj42jHTbGZ13YbGW4soq5bWMVn76zngJ3htElihQkwSISVm1FPv/zC3fQO+rhrZM9vH+un8HpUX54aJgsh4edtSG21YRkHOYqxjwmjnbYONltJ6YLsNlLKSsuZs/mSvZsqSIvW2Z6iZUjwSISmlKK6pIcfvuhrXxubwPvnOnnQGsPo1NjHGgb5lenxthUGWD7+hBVhdG0bsWEwtA+ZOVoh42+8QxstlLsjhLq1pRw99ZqttWWyqC8WBUSLCJpZDptPLizhgea13G2Z5wDJ3s4dXGIjpERzvSNYbN4qSsPs6EiwvrScFoM+HvmFB1DVs4PWOkesaJMOdhsJRTkF3P7xgr2bq2mojDb6DJFmpFgEUlHKUXj2iIa1xYx6Znn0Ok+jnUMMTI5TcfwJG39k+jYDNXFYerLw2yoCOPOTI3uMq0Xrtp4fsBK+6CV4Wk7VkseVms+rqw81pXls2tDObs3rZEZXsIw8skTSS3fncGjd23gkTvrGZ2eo/XCCK1do3QNTTDsmaJvYoqXj01SkhOkrixCRUGE0rwo2RnJETRaw8SsiaEpM33jFjoGLfgCmVgs+ViteRTk5bGpupCmmhI2ryuS2V0iIUiwiJSglKIkz0XJrvXs27Ue73yQ0xfHOHVxlLM9Y3j90xy5MM277V4iUR+Z9hBleRHK8qOU50UTImw+GCLDU2YGJ80MT5uJxJyYzVlYzFlYLHlUlOSypaaYpppiNlQWyEW2RMKRYBEpKSvDzh2Na7ijcQ3hSJT2/kna+yboHfXQN+Zhzu9jcMZH36SPaPTDYZOfFcPl1GQ5Y2Q5NVkZC7cOq2Y5K5zEYjAfVHj9Cq/ftPhP4Z03MeYxfSREXJjMLpwZLvKys6gsclNdksOm6kIqi92y1IpIaBIsIuVZLebLYzKwcHXL8Zl5+sY89I7MLNyOepjzzzE446V/KkBMh9Cx0K9vYyHMpsjlsHE5Y5hNYDJpTArmfDkoBS6Xk5heCJFoTBGOgtdvwudX+AImNFZMyobJZEOZ7JiUDaVsmMzOD4VIVbGbqpIcKovcZGdK95ZILhIsIu0opSjKzaQoN5Pm+jLg12HTP+ZhyutnxhfAMxfEMxfA41u49QdDRHSIKX+IyfkQGr3Qf4VmZmYa0LhzclEoQIFSKMwokw2TxUZWthWXw06Oy4E7c/F28X5hTqaEiEgZEixC8OGwuZZgKIJnLsiML4B3Pkg0polpTTQa4+y5c2gNDRs3YFIKs9mE2aSwmE24MxfCw+1yyHkkIi1IsAhxk+w2C0U2y1XDxx4cA6B5S9VqlyVEwpGfT0IIIeJKgkUIIURcSbAIIYSIKwkWIYQQcSXBIoQQIq4kWIQQQsSV0npl1kfyeDzJscqfEEKIJXO73VesLyQtFiGEEHElwSKEECKuVqwrTAghRHqSFosQQoi4SolgUUrlKKWeVUqdV0qdU0rtNrqmZKKU+jOl1Fml1Bml1DNKKYfRNSU6pdQTSqkxpdSZD2zLU0rtV0p1Lt7mGlljorvGPvyHxe/xKaXUc0qpHCNrTHRX24cfeOzPlVJaKVWw2nWlRLAA/wd4VWu9AWgCzhlcT9JQSpUDfww0a60bATPwBWOrSgpPAg99ZNtfAW9qrWuBNxf/L67tSa7ch/uBRq31FqAD+OvVLirJPMmV+xCl1BrgAaBvtQuCFAgWpVQ28DHgewBa65DWesbYqpKOBXAqpSxABjBkcD0JT2t9EJj6yOZHgKcW7z8FPLqqRSWZq+1DrfXrWuvI4n8PAxWrXlgSucbnEOCfgL8ADBlET/pgAdYB48B/KKVOKKW+q5S69kU1xIdorQeBf2Thl80w4NFav25sVUmrWGs9DLB4W2RwPcnud4BXjC4i2SilPg0Maq1bjaohFYLFAmwHvq213gbMIV0QN21xHOARYC1QBmQqpb5sbFUi3SmlvglEgB8YXUsyUUplAN8E/reRdaRCsAwAA1rrI4v/f5aFoBE3536gW2s9rrUOAz8D7jC4pmQ1qpQqBVi8HTO4nqSklHoceBj4LS3nQ9yqGhZ+JLYqpXpY6Eo8rpQqWc0ikj5YtNYjQL9Sqn5x031Am4ElJZs+4HalVIZSSrGw/2Tyw9K8ADy+eP9x4OcG1pKUlFIPAX8JfFprPW90PclGa31aa12kta7WWlez8MN7++JxctUkfbAs+iPgB0qpU8BW4G8NridpLLb0ngWOA6dZ+Ex8x9CikoBS6hngPaBeKTWglPpd4O+AB5RSnSzMyPk7I2tMdNfYh/8CZAH7lVInlVL/ZmiRCe4a+9Bwcua9EEKIuEqVFosQQogEIcEihBAiriRYhBBCxJUEixBCiLiSYBFCCBFXEixCCCHiSoJFCCFEXEmwCCGEiKv/D7GV/iYNBahHAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1500,7 +1529,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 33, "metadata": { "scrolled": true }, @@ -1509,7 +1538,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1533,7 +1562,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 34, "metadata": { "scrolled": true }, @@ -1542,7 +1571,7 @@ "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1571,14 +1600,14 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1600,14 +1629,14 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1632,14 +1661,14 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1663,14 +1692,14 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1694,14 +1723,14 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1727,14 +1756,14 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1766,14 +1795,14 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1793,14 +1822,14 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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DlW/voOKV7ybcf2B+fxUWFgRYUerhdytxnKvERaPRFo8HOuMxs446EDq/dc49FeRYaHvGjIiod48uCfXt07OrxozgFiOQDIJc1WaSfiVpvXNuXlDjoO3KyszQkEhuQn2HRHJ5mBRIEkHOeIZKuk7SSDMra/i6LMDx0AYtmjxagyM9W+wzONJTxTdf7qkiAEcT2D0e59wrkpqtZgCOp86ZGSqZM7bZzgXSgctrQyK5Kr75ch4eBZIIOxcg5XXOzNDiO65UTbxWsx97RtujezUwvz97tQFJiuBB2sjKzGh8TofVa0Dy4mMRAABeETwAAK8IHgCAVwQPUkp1dbUWLlyYcP9rrrlG/fr1U15enr73ve+prq4uwOoAJILgQUo5luB555139NZbbykej+uRRx4JsDoAiSB4kFKmTZumyspKFRQUaOrUqUftf9lll8nMZGYaNGiQNm9O7GMUAASH5dRIKbNmzVJ5ebnKysoUi8VUUNB02fSePXskSUuXLlUk8s+92erq6rR48WItWLDAa70AmiN4kLKys7NVVlbWpO2zHYQPDh1JuvHGGzV8+HANGzbMW30ADo/gQcqKxWLNguRwM56f/exn2rZtmx5++GHvNQJojuBBSsnOzlYsFmt8fbQZzyOPPKKVK1dq1apVateOW5pAMuBvIlJKt27dNHToUOXl5SW0uGD8+PH66KOPNGTIEBUUFOjuu+/2UCWAljDjQcpZsmRJwn337dsXYCUAjgUzHgCAVwQPAMArggcA4BXBAwDwiuABAHhF8AAAvCJ4AABeETwAAK8IHgCAVwQPAMArggcA4BXBAwDwiuABAHhF8AAAvCJ4AABeETwAAK8IHgCAVwQPAMArPvo6ydXEa7WsdJO2Ve9V+fYOGjMioqzMjLDLAoBjRvAkqd3xWo2ft1xrKjarsmqnJKl45bu6d/FLGhLJ1aLJo9WZAAKQggILHjP7taTRkj52zuUFNU462h2vVdGUx7W2YkuzY5VVO1VZtVPvVe1QyZyxhA+AlBPkPZ5HJY0K8P3T1vh5yw8bOgdbW7FF4+ct91QRABw/gQWPc+4lSTuCev90VROv1ZqKzQn1Xbt+i2ritQFXBADHlznngntzs16Slh/uUls0Gm0ceMOGDYHVkGqWlW7S3U+uS7j/jKsG6IrC0wKsCABap2/fvo2vc3Jy7NDjLKdOMtuq97aq//Zo6/oDQNiSYlVbYWFh2CUkjfLtHVS88t2E+w/M76/CwoIAK0otpaWlkvidShTnK3Gcq8RFo9EWjzPjSTJjRkTUu0eXhPr26dlVY0ZEAq4IAI6vwILHzH4naY2kfma22cyuD2qsdJKVmaEhkdyE+g6J5PIwKYCUE9ilNufcvwX13ulu0eTReq9qR4tLqgdHeqr45ss9VgUAxweX2pJQ58wMlcwZq2uLzmt22a1Pz6667uIBPDwKIGUlxeICNNc5M0OL77hSNfFazX7sGW2P7tXA/P7s1QYg5RE8SS4rM6PxOR1WrwFIB1xqAwB4RfAAALwieJJAdXW1Fi5cmHD/hx56SH369JGZafv27QFWBgDHH8GTBFobPEOHDlVJSYnOOOOMAKsCgGAQPElg2rRpqqysVEFBgaZOnXrU/ueff7569eoVfGEAEABWtSWBWbNmqby8XGVlZYrFYiooaLp6bc+ePZKkpUuXKhJhixwAqY3gSTLZ2dkqKytr0vbZ5oSEDoB0QPAkmVgspmHDhjVpY8YDIJ0QPEkgOztbsVis8TUzHgDpjMUFSaBbt24aOnSo8vLyElpc8OCDDyo3N1ebN2/WgAEDdMMNN3ioEgCOD2Y8SWLJkiUJ950wYYImTJgQYDUAEBxmPAAArwgeAIBXBA8AwCuCBwDgFcEDAPCK4AEAeEXwAAC8IngAAF4RPAAArwgeAIBXBA8AwCuCBwDgFcEDAPCK4AEAeEXwAAC8IngAAF4RPAAArwgeAIBXBA8AwCuCBwDgFcEDAPCK4AEAeEXwAAC8MudcKANHo9FwBgYAeJOTk2OHtjHjAQB4RfAAALwK7VIbAKBtYsYDAPCK4ElyZvZrM/vYzMrDriXZmdlpZrbazNab2dtmNjHsmpKVmZ1gZq+Z2ZsN5+pnYdeU7MysvZn91cyWh11LqiN4kt+jkkaFXUSK2CfpFudcf0mDJf3YzCIh15SsPpU00jmXL6lA0igzGxxyTcluoqT1YReRDgieJOece0nSjrDrSAXOua3Ouf9reB3TgX8keoZbVXJyB9Q0fNux4YsbvkdgZrmSLpf0SNi1pAOCB2nJzHpJOl/Sq+FWkrwaLh2VSfpY0vPOOc7Vkc2XdKuk+rALSQcED9KOmWVJ+qOkSc65XWHXk6ycc/udcwWSciUNMrO8sGtKRmY2WtLHzrk3wq4lXRA8SCtm1lEHQue3zrmnwq4nFTjnqiW9KO4lHslQSV8zsw8k/V7SSDN7ItySUhvBg7RhZibpV5LWO+fmhV1PMjOzk83spIbXmZKKJL0TblXJyTk33TmX65zrJek7kl5wzl0bclkpjeBJcmb2O0lrJPUzs81mdn3YNSWxoZKu04H/kZY1fF0WdlFJqruk1Wa2TtLrOnCPh2XC8IKdCwAAXjHjAQB4RfAAALwieAAAXhE8AACvCB4AgFcEDxCghh2z3zezrg3fd2n4/oywawPCQvAAAXLObZJULGlWQ9MsSf/hnPt7eFUB4eI5HiBgDdv4vCHp15K+L+l851xtuFUB4ekQdgFAunPO1ZnZVEkrJH2V0EFbx6U2wI9LJW2VxA7QaPMIHiBgZlYg6WId+FTUm82se8glAaEieIAANeyYXawDnw30D0mzJc0JtyogXAQPEKzvS/qHc+75hu8XSjrHzEaEWBMQKla1AQC8YsYDAPCK4AEAeEXwAAC8IngAAF4RPAAArwgeAIBXBA8AwCuCBwDg1f8D9zNFSzm0meMAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1827,14 +1856,14 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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fzG4ws182s6GNbpRIJwrZYrZaMS0sJo9Ub5z8ECY7LC+rK0/i85jB5O4fcPergP8AnA/cZmYfNbMXbHTjRDpJtWJidYxpfikJpr6GyQ+hC29RXXkSodMaYzKzAvDk9L9HgVuB3zCzj21g20Q6SjVa0pskurqMhbQrr7eY/Cr2p8sShSWIwpJFiiWJyWPex2Rmfwa8HPgy8G53vzHd9cdmdvdGNk6kk9RWTOE1jB0Vuqzu1dMoCoWSKiaJyencYHsH8NvuPt9k3xVnuD0iHat2jCm8rk4hT7Z1hWAKgdQQUCIxOJ2uvJ9pDCUz+xKAu7deiU9EqhqrHrPViqkrBJNZ3bG+zrkinWzdisnMeoF+YJuZbWW1B2IzsCuDtol0lOp9TE0qpq6acSeoqZAaAkokBq268n4JeDNJCN1cs30a+KuNbJRIJ2ocY+oyq1ZM1lAxoTEmidi6weTu7wPeZ2a/5u5/kWGbRDpSNVvS7DGDcjmsn0f6muxMF36oBpdySWLSqivvhe7+ZeCwmb2qcX+rB/uJyFqrFVNNV946FdPqpAclksSnVVfe80imiL+8yT4HFEwij0OImDCeZFAzxhSmi9c/Ur32yTDuXg0wkU7WqivvXenrG7JrjkjnCiGEra2Y1kx+CBVTzbQH9+qpIh3tdBZxfbeZbal5v9XM/nBjmyXSedbcYGusvY/JGu5jqgkjdetJLE7nPqaXuPvJ8MbdJ4Ez8gh0M3uxmd1tZveZ2dvOxPcUaVer08XD6/oV0+qkh9XuO8WSxOJ0gqlgZj3hjZn1AT0tjj8t6fp7fwW8BLgE+Ckzu+SJfl+RduUN0/Jqx5h+/+O38kt/83/X3mDrqxWWKiaJxeksSfQR4Etm9vckf7T9HPAPZ+BnXwHc5+4HAdIFYa8B7jwD31uk7Xj9EFNdxRTiZ3WMKT2HUDG5poxLNB4zmNz9T8zsNuDqdNMfuPsXzsDP3g08XPP+EPADzQ4cGxs7Az/ue0NM19pMJ1//vfceA2BmZhqASrnM/UcmANh/KFnd6/i1XwXgxIlk+9zcPCGmxm4ao9RdyLLJmevkz/90xHL9IyMjLfefTsUE8B2gSPIb8p0n2Kag2fwi/U0oHa9xgda6felr7QSJaqXV9FdGpPOczmMvfhJ4D/AVkt+XvzCzt7j7J57gzz4EnFvzfg8w3uzA0dHRJ/ij2l/4SymGa20mhus/Xr4X+DaDg5uBE3R1Fdi7awv7H3yUp+wZoq9U4PUvvYI3/eXnGT5rGDjKQP8AMAPA6OgzKHZoxRTD599KbNc/NdV6/e/TqZjeCTzT3Y8BmNl24IvAEw2mbwMjZnYBcBh4LfDTT/B7irQta1wHj9UbasO2xtXGzdYu/irS6U4nmLpCKKVOcJpPvm3F3VfM7I3AF4AC8CF3/+4T/b4i7Wp1dl149WoA/farn8ZFuzbztYPJo9a7am7Cbbz/SaTTnU4wfd7MvgD8Y/r+NcDnzsQPd/fPnanvJdLuGu9Hcq99zEV9xbQ6c2/tAwZFOt3pzMp7i5n9OHAVyR9t73f3T294y0Q6jDWUTLUVU1itqLoSRPVeJ1t7vkiHO61Zee7+SeCTG9wWkY62pmJi7UoP1Yqp2lnua84X6XStHnsxQ/Pp2wa4u2/esFaJdKC16+D5mpUe1lRMCiOJUKvVxQezbIhIp2tcjLV2jKnxwYC1Y0y1ryIxOK3ZdWb2HDN7Q/r1tnSKt4g8DqtdeWvHmEJYldOECseqcpIYnc5jL94F/Bfg7emmEsn6eSLyOKyZLk7tGFOybfUxGPUnKZYkJqdTMb0SeAUwB+Du44C6+UQeJ2syxlRYZ/JDlyomidjpBNOSJ/0MDmBmAxvbJJHOtJotqxMd1tzHVH3KbfJSuwKESCxOJ5g+bmZ/C2wxs18gWY7o7za2WSKdp+l08XRbuXHyg9cHkiomiUmr6eJ/CXzU3d9rZj8ETAMXA7/j7tdn1UCRTtFQMFGpOD3FZFHWpZUyAAuLKwAUi8nfjIWC1Z8rEoFWN9jeC/ypme0E/jdwrbvfkk2zRDpPbcVUKhZYWi7T31sEYGEpCabZhSUAioUksHq6u+vOFYnBul157v4+d38W8DxgAvh7M9tvZr9jZhdl1kKRDlF7H1N44F9fKQmm+bRSCsEUKqViWlEplyQmjznG5O4Puvsfu/vlJI+leCWwf8NbJtJhamflhS68vp6kIppvqJi6C8mvZqm7q+5ckRiczn1MRTN7uZldC/wrcA/w4xveMpEOs/o0JqeUBlNPKQmmhcaKqSsEU6HuXJEYtJr88EPATwEvA24EPgb8orvPZdQ2kY5SXzElv3q9xeYVU7i/qVTtylM0STxaTX54B/BR4LfcfSKj9oh0rLoxpjRwwuv8qfqKKQRRsdqVl2VLRfLVahHXF2TZEJFOF8aNVsqV6hhTeF1Yqg+mcH9TmJ0XzhWJQS7/t5vZe8zsLjO7zcw+bWZb8miHSJZC993SSrk6dlRMX+cX67vygkIaSOFckRjk9WfY9cBT3f1SkskUb3+M40W+54Vuu8XlcjVoQiW0sLSCu68NpoaxJpEY5PJnmLtfV/P2W8BPtDp+bGxsYxvURmK61mY6+fqPnlwAYHZugcW+JHCOHD4MJBXT0kqFcsUpFrp4ON1+/Pix5OTySkf/2wQxXGMrsVz/yMhIy/3t0HH9cyTT0EU6WjGtjpZXKqtjR91JQM2eWmYunTLe31NgeSV9LlN6bndBsx8kHhtWMZnZF4Fzmux6p7v/c3rMO4EV4NpW32t0dPTMN7DNhL+UYrjWZmK4/pOzp4AvUsHYvm0r3HOciy7cC3yXmYVlpueXAdgxPMjWs7YB97Nr507gAbZsHuzof5sYPv9WYrv+qamplvs3LJjc/epW+83s9cCPAi/ysOa/SAcLEx5qx5jC2NH0wjJT88n40vBgH0vLyWSIME1cY0wSk1zGmMzsxSRPxX2eu8/n0QaRrNWuJB5CCpLQWVwuc3xqEYDhzX0sVoPJ6s4ViUFeY0x/SfIU3OvN7BYz+585tUMkM4VCF11dRiWd4ADJeNPwYB8Ah04ki6rUVUxoVp7EJ69Zefvy+LkieespFlhYXKnen7S4vMLOszZxdGKW2x88CcDOszZxcDz5Osx+0H1MEpN2mJUnEo3QhRdm2S0tl7lw1zAAN9xzHIALdw1XHxzYeJ5IDBRMIhkKq4mH5y0tLpfZuzNZ+GQxnSJ+4a6tLC4nU8dJ5wVpjEliomASyVCofMJjLZZWVium4MJdw9UxpjBdVWNMEhMFk0iGQuUTFmldXF7h4nPPqu7vLXVz7o7N1Vl54UYKVUwSEwWTSIZC5VPtylsq86zvO7e6Jt4LL7+AYneh2pUXbvFTxSQxUTCJZCjMrgvTwJdWypSKBX7zmksY2bmZt/30Vcn2tGKqVMeYNCtP4qH/20UyFMaYurpWp4sDvPrZ5/PqZ5/P6KVPSreHYKo/TyQGqphEMtRTSh+Vnr4PlVGjMF28UqnUnScSAwWTSIZC5RPWwFtcJ5gW0yfaltOSSRWTxETBJJKhMFYUuvLmF5ebHhe2u8aYJEIKJpEMhdl1pe7kV29mfmnNMZXK6pNsw3RxzcqTmCiYRDIU7kcKj1Sfnltcc8zcqSXcYaC3yHK5XHeeSAwUTCIZWl0rLw2m+bXBFMJqsL+HxaVy3XkiMVAwiWQozK7rSm+obRZMM2k33uaBnursvLDGnkgMFEwiGWpcK2+mRcW0ub+nOmtPFZPERMEkkqHG2XUz80tUwl201W2hK69Uvc9JY0wSk1yDycx+y8zczLbl2Q6RrITZdSvlCpv6SgDVGXhB6N5LKqaVuvNEYpBbMJnZucAPAQ/l1QaRrIXKZ3F5hcH+JJgau/Nqu/KqY0y6j0kikmfF9OfAW1l95IxIxwuVz9Jymc39PcDaCRBh8sNgf2l1Vp4qJolILn+GmdkrgMPufquFtVlaGBsb2/hGtYmYrrWZTr/+Y0ePAPDgw4cpkHTTfWvsFr7/SVuB5Pr333MQgNnpSU5OzwBw4N676Z4/mkOLs9Xpn/9jieX6R0ZGWu7fsGAysy8C5zTZ9U7gHcAPb9TPFmlXxXTFh5WyM9hbBGBmoX5Zoun0/ea+Isvp49bDfU8iMdiwYHL3q5ttN7PvBy4AQrW0B7jZzK5w96Z/Eo6Ojm5UM9tG+EsphmttJpbrv2kc4E6Gtg5zfmmAG+59lO07zwWS7rzR0VFKXz4MwKVP2cfnbnkEgGdc/jT27R5u/k07QCyf/3piu/6pqamW+zPvynP324Ed4b2ZPQCMuvujWbdFJGvVMaaVCsODfQBMTC/A0GpFNDFzCoDhwb7qdHHdxyQxUf+ASIbC7LrFpRWGN6fBNLNQd8zEdPJ+eHNfdbq47mOSmOQ+B9Xdz8+7DSJZWa2YyqsV08wCMFA9ZnI2DabaiknBJBFRxSSSodX7mMqrFdP0qbpj6ism3cck8VEwiWQojBUtLTdWTKvC++HBvuoNtqqYJCYKJpEMhVXCF5drxpimV4NpYXGZhcUVSsUCpWKBSsXp6jJNF5eo6P92kQxVK6aaMaYwpgQwWTMjL9zDpBl5EhsFk0iGetOKaWFxhe1b+gE4cmK2uv/oRPL1tqF+FhaX684RiYWCSSRDmweS9fFm5hfZNtTPQG+Rk7OnmJ5PQujgkUkA9u7cWvfAQJGYKJhEMlS7cKuZsXdXskbe4Yl5AA6MTwCwd9eWulXGRWKiYBLJUHjURQidC3clywwdOjEHwIHDk9Xt0zUPDBSJiYJJJEO9pW66C10sLpdZWi5zYVoxHTqRVEyhK+/CXVurz2lSxSSxUTCJZMjM6saZ9u5Mu/JOhK681TEmdeVJrBRMIhkbTB+pPj2/WK2YDp+YZ3mlwkPHpjCD88/ZsvqIdU1+kMgomEQyFoJmem6RC3eHMaZ5jp5coFJxzt0xRE+pW2NMEi0Fk0jGQtfczMIS5+0YoqvLeGRqgYNHk6fVhu69mfmluuNFYqFgEsnYYP9qxVQqFrjkSdtxhw9+6T4Annbh2dX9oK48iY+CSSRjtfcyAbz8WRcBsP9Q8lTPVzz74rr9qpgkNgomkYxtHkjGjMJ08Guuuri6b8umXp576Xnp/qQrb1DBJJFRMIlkbLCvvmJ65pN386yLt1PoMt7ymmdTTBdtVcUkscptdUgz+zXgjcAK8Fl3f2tebRHJUu2sPICuLuN//PwVnJxb4urnPbt6nMaYJFa5BJOZvQC4BrjU3RfNbEce7RDJQ+MYU7BloH5auComiVVeFdOvAH/k7osA7n6s1cFjY2OZNKodxHStzcRw/SeOHwHg/ofG11xv7fsTJ5Pp4/cfuJulyYeza2COYvj8W4nl+kdGRlruz2uM6SLguWZ2g5l91cyemVM7RDI30JP8PTh7arnlcWF/OF4kFhv2f7yZfRE4p8mud6Y/dytwJfBM4ONmttfdvdn3Gh0d3ahmto3wl1IM19pMTNc/4Qfg2u9gxf7q9TZef6XizJ76LADPf86VHf9o9Zg+/2Ziu/6pqamW+zcsmNz96vX2mdmvAJ9Kg+hGM6sA24DjG9UekXaxZVMvAJMzC+seMz2/iHuyHFGnh5JIo7z+j/8/wAsBzOwioAQ8mlNbRDK1dTANptlT6x4TQmvrYF8mbRJpJ3l1Xn8I+JCZ3QEsAa9frxtPpNOEsGlVMU3OJKG1Na2uRGKSSzC5+xLwujx+tkjeQlfe1NwilYrT1WVrjjmZVlNbFEwSIXVei2Ssu9DFYH+JSsWryxI1UleexEzBJJKD6gSIdcaZJlUxScQUTCI52D40AMDxk3NN94ft24f6M2uTSLtQMInk4JzhTQAcnZhtuj9sD8eJxETBJJKDs7cmFdMjk80rprA9HCcSEwWTSA5UMYmsT8EkkoNQCT1WMJ2tYJIIKZhEchAqocfqylPFJDFSMInk4OwWXXmnllY4OXuKQpcxrPuYJEIKJpEcrFZMa4PpWJj4MLyp6aoQIp1OwSSSg1ZjTNXxJc3Ik0gpmERysGVTL6VigZn5JeYbHhgYqiiNL0msFEwiOTCzmnuZ6qum1YpJwSRxUjCJ5CRUREdO1AdTeH/OsLryJE4KJpGc7N25FYAD4xN12w+MT9btF4mNgkliGNJ/AAAGcUlEQVQkJxftOQuAew6dqNse3of9IrHJJZjM7DIz+5aZ3WJmY2Z2RR7tEMnTReemwfRwfcVUDaZzFUwSp7wqpj8Bfs/dLwN+J30vEpWR3cNAfcV0YmqeiekFNvWVNCtPopVXMDmwOf16CBjPqR0iuRmp6cpz9+rXkHTjmenmWolTd04/983AF8zsvSTh+OxWB4+NjWXSqHYQ07U2E9v1bxkocXJuiePTi+wY6uULX78JgG0DFt2/BcT3+TeK5fpHRkZa7t+wYDKzLwLnNNn1TuBFwK+7+yfN7CeBDwJXb1RbRNrVedsGODm3xEPHZ9kx1MtDx2er20VitWHB5O7rBo2Z/S/gTenbfwI+0Op7jY6OnsGWtafwl1IM19pMrNf/9Kcc5rYHJzn4yCyj+7ZxcrkIwPOueCqjo5fm3LrsxPr5B7Fd/9TUVMv9eY0xjQPPS79+IXBvTu0QydUPPGU3AGP3nWClXOErtzwAwJWX7MmxVSL5ymuM6ReA95lZN3AK+MWc2iGSqxdfsQ+AG+97lNsenGRy5hT7dg+zL52xJxKjXILJ3b8BPCOPny3STs4/ZwtPPm8bdz30KH/9r3cD8OIrLsy5VSL5sjBNtd1MTU21Z8NEROSMGRoaWnNfhJYkEhGRtqJgEhGRttK2XXkiIhInVUwiItJWFExtwMxebWbfNbOKmY027Hu7md1nZneb2Y/k1casmNnvmtnhdOX5W8zspXm3KQtm9uL0M77PzN6Wd3uyZmYPmNnt4YkDebdno5nZh8zsmJndUbNt2MyuN7N709doH8ilYGoPdwCvAr5Wu9HMLgFeC3wf8GLgr82skH3zMvfn7n5Z+t/n8m7MRks/078CXgJcAvxU+tnH5gXpZx7D8gcfJvmdrvU24EvuPgJ8KX0fJQVTG3D3/e5+d5Nd1wAfc/dFd78fuA/Qs6s6zxXAfe5+0N2XgI+RfPbSodz9a8BEw+ZrgH9Iv/4H4McybVQbUTC1t93AwzXvD6XbOt0bzey2tLsjhu6MWD/nWg5cZ2Y3mVmsK8Gc7e5HANLXHTm3Jzd5LUkUnVarrbv7P693WpNt3/PTKB9j5fm/Af6A5Dr/APhT4Oeya10uOvJzfpyucvdxM9sBXG9md6VVhURIwZSRVqutt3AIOLfm/R464KGKp/tvYWZ/B/zLBjenHXTk5/x4uPt4+nrMzD5N0r0ZWzA9YmY73f2Ime0EjuXdoLyoK6+9fQZ4rZn1mNkFwAhwY85t2lDpL2TwSpKJIZ3u28CImV1gZiWSCS+fyblNmTGzATMbDF8DP0wcn3ujzwCvT79+PbBeT0rHU8XUBszslcBfANuBz5rZLe7+I+7+XTP7OHAnsAL8qruX82xrBv7EzC4j6cp6APilfJuz8dx9xczeCHwBKAAfcvfv5tysLJ0NfDp9lHw38FF3/3y+TdpYZvaPwPOBbWZ2CHgX8EfAx83sPwEPAa/Or4X50soPIiLSVtSVJyIibUXBJCIibUXBJCIibUXBJCIibUXBJCIibUXBJPIEmVk5XRX7DjP7JzPr///4Hh8IC7ea2Tsa9v37mWqryPcCTRcXeYLMbNbdN6VfXwvc5O5/dia+n0iMVDGJnFlfB/YBmNlvpFXUHWb25nTbgJl91sxuTbe/Jt3+FTMbNbM/AvrSCuzadN9s+mpm9p70vNtrzn1+ev4nzOwuM7vW0rtVRb4XaeUHkTPEzLpJnqn0eTN7BvAG4AdIFmm9wcy+CuwFxt39Zek5Q7Xfw93fZmZvdPfLmvyIVwGXAU8DtgHfNrOwntzlJM/tGge+CVwFfOMMX6JIJlQxiTxxfWZ2CzBGspTMB4HnAJ929zl3nwU+BTwXuB242sz+2Mye6+5Tj+PnPAf4R3cvu/sjwFeBZ6b7bnT3Q+5eAW4Bzj8jVyaSA1VMIk/cQmOFs15Xmrvfk1ZTLwX+m5ld5+6/f5o/p1X33GLN12X0uy3fw1QxiWyMrwE/Zmb96YrZrwS+bma7gHl3/wjwXuDpTc5dNrPiOt/zNWZWMLPtwA/S4avNS5z0V5XIBnD3m83sw6wGxwfc/Ttm9iPAe8ysAiwDv9Lk9PcDt5nZze7+MzXbPw08C7iVZPX1t7r7UTN78oZdiEgONF1cRETairryRESkrSiYRESkrSiYRESkrSiYRESkrSiYRESkrSiYRESkrSiYRESkrSiYRESkrfw/Zq4myusHiesAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1854,14 +1883,14 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1881,7 +1910,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 45, "metadata": { "scrolled": true }, @@ -1890,7 +1919,7 @@ "data": { "image/png": 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hZbvLy8tbfVy49jHNAC70H18IvBsmOxQlLFTX1gNQ5xGPqHe3JFwxhr49pLN2jD8X0+HFD599JhV1lZUywG/DBhGlPn3ke6inBHSfMYO+EyZI7uihh2D8+OBMpXfekU7jirKVdES5+GvAd8BwY8x6Y8ylwH3A0caY5cDR/nNF6TK46xv8370AZKRIVVv3Jp3GPQ3ejjNq5kw44QQpVjjjDFi8WAoZhgyRjbO77NJ4/fTpDLjnHjm+4w4RJqdIYsYMSEra8ncoShto91CetfbcFm4d1d6/W1EiFU+DFDe4/R5TepIIkzPywufPPXnqO0iYpk2Dc86R7gzOKIoNG2DPPeHDD6FXr8brP/8cxozB+HxsPO88ek+ZEiwnnzlThv8pyjaiLYkUJQw4glTr/57hb0PkCJPXijC5O0KYXntN5inV18OYMTIXacMGKROfM2dLUZo/X8J8bjebTz2V9O+/D268/egjyMhof5uVTo0Kk6KEASdEV1Mnuab0ZL/H5A/lef0dH9o9lPfiizJ51uuFc8+VEFxpqUyV/fDDLUVm6VIZZVFZCWecQfLSpSSvWCEtimbPltlKivIHUWFSlDDgeELVfmFK84fyMtMSAaj3ev3r2rFc/Mkn4ZJLpH/dn/4Eb70V7G33zjtb5ojWrYOjj5ZWQ6NGwYYNpCxZQl1urohSz1a3IypKm1FhUpQw4OSOnKq7pjmmen8Oqt1yTA89JPOTQEafT50qobzrrxcvKrZJ+rmoCI45RsRp5EjweOC773D36sWyiRMhN7d97FS6JCpMihIGHE+oxu0MDBRh6pbq95ic4oj2EKa774a//U2Ozz9fJsl6vfCPf8Ajj8ispFD8+5lYskQq81JT4csvISeHZRMn4snJ2f42Kl0a7fygKGEgkGNyi0ClJshH0Wne2uAP5W1Xj8lauPVWuPde2Xf05z/Dyy/LvTvvlHtNe9k5/e9++EHmLPXtKwUOPXrAp5/irq7efvYpih/1mBQlDLg9jYsfkvzC5DRvDZSTb68ck7Vw000iSi5XY1H6739lkF9TUWpokMKITz+V/NEuu4godesmlXs77bR9bFOUJqgwKZ0Kay0fzFvPm9+uDlS2RSKh1XYpiXG4YkQU0lP8wuQXpO1SlefzyfykRx6R8RTnnBMUpQkT4Npr4b33ZFRF6GMuvRTefhvS06XjwwcfQFoafPwx7LHHH7dLUVpAQ3lKp+Ldb5by76k/A9C3bz+uO31kmC1qnlBPyBEjCIbynNyS41ltM16vCMykSZCYKPuPpkwR7+i552DwYClcKCmRPNIHH4h3dfXVMHkyJCfDkUfC9OlyPHOmzFlSlHZEPSalUzFh2tzA8RPTfwijJa0TmjtyxAiCIuUI0x/ymOrrJRQ3aZKIykknSfWdywWvvCL7lY44QkQJpB+etTLc7+mnpc/dCSeIKCUkyB6ngw/ednsUpY2oMCmdhqpaD1/9sjZwvnRdMasKSsNoUcuECk5aiDClJUkHiFq35J62ufjB7ZZuDlOnSvjtmGNkn1JcnIjShx/KmHN/hwnS0+G++6QA4tFHZd1ppwUf8847cJR2EVM6BhUmpdPw9S9r8dR72bV/N47crTcAn/64KsxWNU9oGXiavx0RQKpfmAKhvG0RppoaCdm9+y5kZsJhhwW9nueeg4cfDuaYQMJ6r70GEycGiyPOOgtef12Op04Vz0lROggVJqXTsHRtEQA75mawY6600lm6riicJrVIqCeUGC+pXmstLlcMcbHBj+VWh/KqquDEE4Ml3fvtB++/L6G8xx6TvUpz5zZ+zH33wW+/SWVeTIx0gXDyUC+/LJ6TonQgKkxKp2HlBgnb5XZPJrd7cqNrkYS1tlHxQ3ysi2UbKrj6me+pqHYTHxuc9rpV5eLl5RKymzMHcnJg991FoNLSxBMaO1ZmJe28c7D793nnQUqKhPWgcRn5889L/zxF6WC0Kk/pNOT580l9uyfTI0M6KORFoDB5fRZrZRigz1oS4mIZO2keG0pq+dvEj0iIjw300Gtzjqm4WAb8zZ8P/frBwIGy/6hbNxGkceOkjdBJJ4k4VVXBiBFwyCFw5ZXyMy64QCrxAJ54Ai6+uB2evaL8PuoxKZ2GgMeUlUxuVtBjsk6CP0JwRl7EuoIfvw0ltQDMW1rQxGNqgzAVFkp13fz5Ikh9+0rLoOxsuPxyKWjweKQE3NqgeF10EVx1lfyM88+XogiABx+UtYoSJlSYlE6Bz2cDFXi53ZPJSI4jIyWBqloPm8tqwmxdY5y8kSNMdZ76wL28glIS4oLC9Lse04YNUtzwyy8wbJiMnfjuO+jdW6bQPvCAiNF//iOVeh98IAURY8fCDTcEO4tPmSKbau+6K9hHT1HChAqT0inYUFyJu95Lr8wUkhNiMcYwuE8WEAzxRQqOF+R0e3DaEgFUVLtxhTRRbTXHlJ8Phx8uzVV33lnGVMybJ97QUUfJXiSXS7qFV1dLzigpCcaPF/HxeqULxJtvyvE//wm33NIuz1lRtgYVJqVTsDJfNokO6pMZuOYcO/ciBccLcvk9Jmf0RZBg6LHFqrz8fAnfLV8Ou+4q137+GQYNgr33lo7hCQnSUqiqSjqKu1wiSrfeKptvzzxTSsrr6+HGG+Gee7bsl6coYUCFSekUOPklx0uS48xG9yIFxwtyPCanYWuAEHFoNse0fr14So4oud3w668Syhs4UMQmNRVmzZKRFdddJ4+7+eZgSG/0aGkvVFcHV1wh85lUlJQIQYVJ6RQ44brBIR5TpAqT4zHFBIRJhMrRBdPM2gDr1okorVgholRVJQK1yy6SX/r0U8jKku+VlVLgADIA8MknZfPtSSfJfWda7ZNPqigpEYUKk9Ip2FhSBUBudlrgWt8e6QBsKq0Ki00t4XhBMX4xcM77dU8BQgN5TXJMa9eKKK1cKaJUWiodwXffXSbOfved9Lv78ksRnbPPltzRJZfI3qTKSikp/+YbOT77bMk7NR0MqChhRt+RSqegpFLKrbunJweuOWPKnXuRgpM3coTJ8Yp6dZO9V6HKFPCY1qwRUcrLE1HavFnyTPvsA7W1wfzS11/L+cknS8junHOk+WppqRRE/PijHJ96qpSHNx2hrigRgAqT0ikoqRDxyUpPClxzjp17kYKzj8n4hckZo949zWnmGlQmd71XvKLDD4dVqyRkV1AAmzbByJHyffly2G23oCgdd5yE+E46SbynoiLZSPvrryJoxx4r/e/i4jrwWStK21FhUjoFjleUmZoYuJYZ4R6Tk9Zxzh1hCt0PnFtVjD38cBGnXXYRL6m4GA48ULyn9etliN+cOeIhHXOM3D/iCPGiCgrggAPk8QUFInDvvCMVe4oSoagwKZ2C5jymbn6RKquqi6hptg1NbHHySI4w+fzKNKiujDkLXsKsWSPhu/x8KCuDgw6CRYvE+xk1Ssacezxw9NGyZuRIEaJ16yTUt3GjHB9wgEyqTU5GUSIZFSalU+B4RU5eCaSzQkZKAtZCebU7XKZtgeMROQLkFD8EhMlnGVhbwmc/vcgAdzm+XXcVYSkrk0F9P/0EFRVw+unSOby+XsJzK1ZISK+kRMJ+u+8ePB4xQsrHneatihLBqDApUU+tu55adwPxcS6SExvnTQJ5pggK5zm9+xyBcgocslJFmHIripiz4CV2cJezMKUnZt066Rx+yCHS566mRrqCT50KDQ2SS1q4EIYMkfPly2GnnaTybtUq8Zo+/hgyMsLyfBVla1FhUqKe0so6QLwl02Q/TqAyL4IKIJwUks8XTCYlxbtISYxlUG0Jb335BP3dFSxM6UX/2jKMI0o//CDFDRdcIOPSGxrEa/r2W2ncmpQkc5UGD5aNs6tWSReITz6R/niKEiWoMClRT3NhPAfHYyqNSI8pVJhi6VG8iS9+epHc2nJ+TunFDrWldPN58B50kAz3q6uTURQvvCCidMYZ4gllZ8tQwF9+gR12kGasq1bBXnupKClRiQqTEvU0V/jg4IhVcSR5TNb5HhSmYXXFHDX+r/T1VLIwPYcBtaVk+Dx8kdGfmHnzpOLuL3+R0eher/S5mzlTuj307y95pz59pB/eqlWw554we7Z0gVCUKEN31ylRT1mVhPIyUrYsgXYq88qr6zrUptYICpKEHYfWFPHOwskk1VXwU2pvBlcXk+7z8GW3HRhZtg6DT/rZPfmkeEpnny1FD5mZMGCA5J1694bERCkh32MPFSUlqlGPSYl6Kmqk4i4jJbiHyfnjn56c0GhNJBDwk4xlWI0UOuTUVVA2eCiDa4pJ93r4IkNEKREf9ZddLqLk9cKYMdKktVs36fQwfz706iUl4Hl5Uok3e7Z4UooSpagwKVFPpV900pLjKauq48bn53LZk9+xrrCcdL8XVRFR5eIiTYMrCvl8wUv08VSxqFsfUvPXke6r5+vMARxQvpYEfDyeux91Dz8qovSnP8G0aVJdN3iwiFLPnpCSIqK0227SnDU7O8zPUFH+GBrKU6IexxtKT07gvW+X8s2SzQC88slC0pLiAaisaTrzKHxYC8OrN/Puwsn08lQxP7U3wyuLiPV7SgeUriUey+P9DuD6QcdwYYMXLrkQ3noL0tNh6FAZCNizJ6SlSVNXFSWlE6EekxL1ON5QekoC736zNHB9xrfLgh5TBIXyUlevZM6Cl+jlrmR+ag7Dq4tI9Xoo2W0PDixfSzw+Hux7AGOHH4/L+ki87BJ44w0RoWHDRJR69BCRcjqNf/qpXFOUTsDvCpMx5kFjzC7t8cuNMauNMb8YYxYYY+a1x+9QOj+ON5SWFM83i9YFrs9dkk9ygmy4jRhhWrqUQ/56Mb3rq1mQkcvw6s2k2ga+7zGIbot+IQ7LQwMPYezgY4jB8tKS6cS/+YZ0bNhxx6AoZWRIp4dddlFRUjodbfGYlgDPGGO+N8ZcaYzZ3tvHj7DW7mmtHbGdf67SRXBEJyEulo0lVcS6DL26JeLzWWrc9bImEnJMS5fCEUeQVFLE/NQchlQWkmob+CJjB/bZnEeM9XFv/4O5daiI0jOLp/Hnwl+wycnSyeGHH0SAunUTUdp5Z/jsMwnpKUon4neFyVr7nLX2IOACYACw0BgzxRhzRHsbpyhtwRGmGo+IUJ+sZPply9C9siq5F/Yc07Jl0vG7oIDSoTuJp+Sr54uM/hxcvoZYIC81m1sGHgXW8uzSGfy5YAFVJhbvjn5Rys6WEnGn5ZCKktJJaVPxgzHGBezo/yoCfgZuMsZcYa0d8wd+vwU+NsZY4Glr7TPNLZo3r/koX0vXI5lotBki2+78jUUALFm2CoDcrGR6ZiQyj2IWLV0BQGFJWdieQ8LatQy/8kriN2+mevhwklflkWAb+CZzAAeVrsYFPJOzN2cVLsZgefyXd7hk4wKqTSyLU3sy8sf51Gdk0JCcTNKyZdQOGMDShx6iYd06ae4aAUTy+6Ml1OaOo6ndQ4cObXX97wqTMeYh4GTgM+Bea+1c/637jTFLW35kmzjIWrvBGNMT+MQYs8Ra++Uf/JlKF6O6TsZGVNaJx9S3uwgTQEmVp9GajiZh3TqGX3WViNKwYSSuXYvL4+aLjB04sFQ8pXv6H8Lb2TtxVuFinlz2AZduXECNcfFrWi9GVuTjSU/H260bSWvWULvDDiybOJEGrb5TOjFt8ZgWAbdaa2uaubffH/nl1toN/u+Fxphp/p+3hTCNGNE4/eSob9PrkUw02gzRYbfXfC8H8TLSITcrmZ7+MeUepCqvtt52/HNYuRJOOw0KC2GPPUhZuRJqayncfR8OXPgjcVju63cQtw48kmF1JVQnJHFlwXxqjYtfUnszsiKfotgkMnv1Jn75Mhg2jKQ5c9gjJ6djn0crRMP7oylqc8fRkt3l5eWtPq4txQ/nNRUlY8ynANba1n96KxhjUowxac4xcAwigoqyVVTVile0uawakBxTnywZhrd+c0VgTWhvunYnL09ySuvXS4uglStl3Pkhh5C9eAFxWCYMPpR/DhqFwXLnqs/oW1NGrXGxKK03IytFlArjU3D5RYnPP4cIEiVFaS9a9JiMMYlAMpBtjMnEaewF6UCf7fC7ewHT/GMKYoEp1toPt8PPVboYdR4J0zn98DJT48lMkY21pVV1xMXGUN+e1jo6AAAgAElEQVTgw1PvJSG+A/aU5+XJCPN166RFUF6eiNKhh8J33xHj9fJQ3/25d+cTiKmo4bmlMzincDHe+HgWJvRgZEU+xa5EiuJT2LmmCO/gIbg+/1yatCpKF6C1T+kVwI2ICP0Ycr0CeOKP/mJrbR6wxx/9OYriaZBBe04z1/TkONKTZf9SSUUt8bEuEaaGDhCmVavEU3JEafVqGdh3yCHw3XdQX8/yM/7M34oG0wPLi0umc8GmhdTExOIZOJiRS3+j2O8p7VRTxPKkLHrN/JB0FSWlC9FiKM9a+6i1diBws7V2YMjXHtbaCR1oo6K0itvvMQWEKSmOlIRYXDGG6rp6EuJEjJwR5u3G6tUiSmvXSoug1atlBPohh8D338sI9Guv5Zfr/onL+njixze4YNNCqkwsyzJy6Lb0N4pikyhKEFFakZTFEXtcCLl929duRYkwWgvlHWmt/QzIN8ac3vS+tfaddrVMUdqAtTbgMTlzmdKT4zDGkJWexOayGmJd8v8vT3sK05o1Ikpr1ogorV0bFKW5c8HjgauugsceI2bOIl5eMo2zChdRGRPHryk9GFm6DndaOkUNcexYXcSypCyO3edS8mNTaDKUV1E6Pa3FNQ5DSsRPbuaeBVSYlLDT4PVhLbhiDF6fJSUxjvhYFyBDAkOFyV3fTiXja9eKKK1eLX3r1q6F8nI4+GDZGOt2w2WXwYQJ0NDAiLvH0bdwEZWueH5LzmZk5QaK4lNIzMhgx/XrWJ6SzRG7X8DmxDRo8G0xLl5ROjstCpO19nb/94s7zhxF2TocLygu1oXX09Boiq1zHBNjGq3drqxbJ4UOq1aJKK1fHxSlefNkHPqll8JTT8noinPPpe9nH1IeE8/KtJ7sV7aeTbHJVMUnkb1+HUuTunPq/pexwZtAnL+IUGVJ6Wq0pYnrvcaYbiHnmcaYu9vXLEVpG+6AMMlb2ZlYG3rs8gvTds8xrV+/pSiVlYkozZ8vonTRRfDMM8HJs2+/TX1KKstSstnbL0plcUkMriqism8/Dt/zIjYlpQPBgYLqMSldjbbsYzreWlvmnFhrS4ET2s8kRWk7Tn4pNkbeys7E2tBj5w+7s3a74IhSXp6I0saNIkoHHQQ//gi1tXD++fDcc1L0cNZZMH06ZGRQ3W8H9q3cQGF8CuVxiQyvLWZZag8+/8/DbExII8Y0/liqLildjbYIk8sYE/i0G2OSgIRW1itKh+FU5Ln8eSRn/hIEhcnvMAXW/mHy8yWn5MxCKi6GoiI44ABYvBhqamTa7Isviqd0xhkwY4Z0BR8yhG5LFrMpLpmquCSG1Zbwa3I2x424hNJkadzv5MScDcHqMSldjbZs6ngF+NQY8yISXbgEmNSuVilKG3G8ICdc18hjCojUdvSYHFFasUJEqawMCgpgv/3Eeyorg1NOgZdeEk/p9NNh1izIyoKBA2H+fOqyulNRaxlaXcTi5B4cueeFbDZJVLsdkW0sRCpLSlfjd4XJWvuAMWYhMMp/6S5r7Ufta5aitA2noCHGNCNMyQnNrt1mCgrgyCNl7MQuu0B1tYT09toLNm2SryOOgKlTpRJv9GgZ4te9OwwYIHmnXr3wxiYwtGQtS9J7ceSu51OalI71+iirltZKTljSQT0mpavR1m3wPwFxiMf0U/uZoyhbh1PQ4PztTkuOD9xzjp2Q2B8qfti8GY46SuYq7bqr7EtatUq6O9TWyv6lESPg3XcllHfCCbKptkcP6NdPRKl3b0hOJiUvj19SenLeoVdRWAWp8bHU13ooqpTZUU4VodPaT3VJ6Wq0pSrvbGAucCZwNvC9MebM9jZMUdqCE55zvIrmckw+/1/4bQ7llZTA0UfDb7/JgD4QgdppJ4iNhSVLZJrsrFnSfujQQ0WU+vWD3FwphvCLEnl5VA4ZzpF7XEhJYhoA8XGy76rYESbjCJNtdK4oXYW2FD/cAuxrrb3QWnsBMpriX+1rlqK0DaegwSmtTkvaMsfk89lGa7eKigo47jj4+WcYMgQSE2HRIjnu3l1EZ8AA+PhjWXvwwVIAMWwYZGTAggUiTklJkoPabTcWPv0qRfEpAY8owb8huLhChMnRIYvkzpzCDkXpKrTlHR9jrS0MOS9u4+MUpd0JeEz+8+TEuMC9pAQ5tmyjx1RdDSeeKN0bBgyQseY//STHgwbB119Dr17wySdQWiqitGoV7LknuFwiYAMGQEJCMOz32WfE9OrZyK642MYeU2jsrkO6oStKhNGWd/2HxpiPgNf85+cAM9vPJEVpO8Eck/wxj4918dv6EipqPAwdmgkEczVblWOqrZXquq+/Fo+nTx/49ls53mcfePttKf/++GMpFz/+eBGnAw6QfNSKFTB0qHR7yMsTsZo9G7p3J754AxD05JwWSoXl0usv4P6F3FOUrkRbqvLGGmPOAA5C/mP6jLV2WrtbpihtoGmlXY27ntuen0utx8vEm2SoniNMba7Kc7tl79Fnn0luaOhQmDNHvKNRo2DSJMkXzZwp02lHjxbvatQoEaTVqyX/VFcnntJee4lX1b07EPSCnNxXQryIz/pimccZmlJKiFNhUroebYoTWGvfBt5uZ1sUZatp2ph1VUEppf6y6wUrNgKhVXltyDHV18O550ohQ3a2VOD5PR3OOksascbFwbRp0u1hzBip0Bs9WnrjORNrKyqCojR7tuxj8uN4QU09Jk+Dbwtz4lWYlC5Ia2MvKmkUVAjeAqy1Nr3drFKUNtLUCyosrQ4c5xfJWPU2V+V5vXDhhSI63bpJ+feHH0oRw5VXwj33QEwMTJkCGzZIc1afT7o8fPqp7GPad18J5a1eDXvvLZ5SiChB0AtqKkwOoRPgnVlSitKVaK27eFpHGqIo24KTN3K8oo2NhKkSCAqT29OKMPl8MpritdcgLU0KGd5/H1JTYfx4+Oc/Zd2TT0pH8ZtukvPLL5d8U3ExHHigCNbq1ZKH+uQTKZhoguMFNfjEQ0pOittiTWCt5piULkibquuMMQcbYy72H2cbYwa2r1mK0jYcL8jxMgqKKwP3Vm+U3sOOZ9Kix2QtXHed9LZLSpJc0fvvy/F998Htt4tw3Xab9MdzROnGG6XLQ3GxNHRdu1ZEacSIFkUJgmLj9duVmhjcFJwYHxsQUtBQntI1+d04gTHmdmAEMBx4EYhH+ucd1L6mKcrv4+SNnNLrksrawL2icikmcASg2RyTtTB2rHhCCQlw0knw5psQHw+PPgrjxkkRw8UXS87o5ZdlU+24cfDYY1BVJUK2aJHknA46CD74QMJ/LeAUPzR4xWNKTAh+DIfkZlFcURNcq8KkdEHa4jGdBpwCVANYazcAGuZTIgInx2T94lNZ4wncq/cXE3j9IbNmq/Juvx3+7/+koOG000SUYmPhhRfg3nulKeuoURK+e/llSEmBO++Ehx8WUTr+eNlEu3Gj9NFzclKtEPCY/MIUYwzJCXJteL/ujexUj0npirRFmDxWAvgWwBiT0r4mKUrbcXJMXn/4q6rWgzHQPS3YAcIRgC32Mf3nP3DXXbIZ9uyz4fXXpbjh5ZdljtLq1bJvqaBAKut69BBRuuMO2ed08snw3Xcy8uL444M5qd/BGWoY9OS83Hve3vTJTOL/rjqmkZ1a/KB0Rdryrn/DGPM00M0Ycxky9uLZ9jVLUdqG412E5mWSE2LJSI4LdFJocHJMocL0yCNS1GCMlIe/8oocT5oEX30l+5ZAxlzk58vIir/+VfJLDQ3iXc2eLb3xTjtNiiYS2jamzBhDfJwrYI+n3stBO/Vk6pDD2KF3t0a5MC1+ULoirZWLTwCmWGsfNMYcDVQgeabbrLWfdJSBitIaTt7I6w0KU0pCLMkheZuGhiYe09NPi8gA/PnP4iE512tqJN8UymGHiUd13XVSBHHWWZJHqqkRUZs0SUKBW0FCiDDV+Xv4Jca5sNY2ElBn862idCVa85iWA/9njMkBpgKvWmsXdIxZitI2HO/C5wtuTk2Kd5EU8ge90T6mSZNkTxKIKL3yihw/9piUe++6a+NfcNVVsmH2qqukUGLMGNnn5HZLQcSzz0oocCsJ9YSq6zwhx/Vy3y9c6jEpXZEWc0zW2kettQcAhwElwIvGmN+MMbcZY4Z1mIWK0gpOgYMTrgMJ5TkeU2xIZ+79f/kaLrlETs47TzbKWgv33w/XXBO8B1IAMXGitBa68kpZd955smfJ7Raheu65bRIlaNyctaLGHTyuluMk/33NMSldkd8tfrDWrrHW3m+t3Qv4E1Kl91u7W6YobcDZWOsUOEBjj8kRplOKlvC39yZKKO7cc2X/kc8nVXnjxknXhx9/lB+QnS198ioq4Prr5dr550txRH295JmeeEIKJbaRUE/IESMIipRTJh4fp438la5HWwYFxhljTjbGvArMApYBZ7S7ZYrSBpyah/oQYQr1mFwxhmNKVvDG4jeJ9XklFPfWW1LAMG6cCBNIjmjyZAnprV0rwvT3v0tBxAUXSMjP64Vbb4UHH/zDY2VD9yc15zE5npJ6TEpXpLXih6OBc4ETkQm2rwOXW2urW3qMonQ0zsZaX0goL9RjOqx0NW8tep0E62XOjvtz+Hvviddz9dXS1SFUYM49V5Tun/+U8F5MjOShJk+W+/fcI5V824HQ/UlVtR58PktMjKHSL1LOfc0xKV2R1v47Nh6YAtxsrS3pIHsUZasIFSRXjMHrswGP6YDytUxd+ApJvgbe6LEzx6xeBHXVIkCPP76l1+PzSZuhxx+XHNOYMUFRevhhubedcDyhxHgXdR4vtR4vKYmxAe/JESStylO6Iq01cT2iIw1RlG0htBO3KyYGr89LQlwMQzet4b8LXyXV6+Gt7J3Yv3wd3Tz+Tg0vvbRlfsjrlSKH556TsN5ZZwUr9p56Cq64Yrva7QhPSmI8dZ5aqt0NIkz+UJ4z1VY9JqUroplVJappbi7LgM3rufq5e8nwupnZayd2qS6kv6eSxX2GSn4pPr7xAxoa4KKLRJQSE+H006ViLyZGRGw7ixIEPSFn/HtlrZSJl/uFKdYl3pzmmJSuiAqTEtXYEJfJGBhevZnxr/6XlJoqZmYNIae2gp1qi1mY0pNbRv9VJs+GUlsr02pfeUXunXiiVOzFxko3hwsvbBe7HU8oNamxMDlNaAM5Ju2Vp3RBVJiUqCY0lDeopoRPf55MRnUFy4buSpK3nr0q8slL7Maxu59PZUKTNo/l5RLamzFDBgMefbTsU4qPF8/q7LPbzW7HE0rxj7yo8AtTqV+YnDJ37S6udEVUmJSoxvGY+tWVMWv+i+R6KlnSfziehASOKF/DpoRUjt7jAjYmpAUq+AAoLIQjjoAvvoCcHDjkEHj3XQnlvfsunHpqu9rteELJ/lBeRY3jMdUBEOvPgWmOSemKaABbiWoskOOu4NOfJ7NDXRnfpfXFm9WDgxd8TZkrgTP3v5Q8IwP7At7VmjXiHS1fDoMHw/Dh8N57MtLivfdEsNoZxxNK8u+3qvCP6yipEI8pJsafY4rXj6jS9VCPSYlqUqvKmP3zZIbWlvBTWg7fZfTl4AVf44mL56Td/sSv6TmBtdZa+PVXGea3fDnsvrsI08yZkJ4OH3/cIaIEQU8o0S885TWNc0wx6jEpXZiwCpMx5jhjzFJjzApjzD/CaYsShZSU8I8X72TnmiJ+SenJ9J67cNP6/1FvYrhsv/P4ptsOjZbvWLBSQnb5+SJO2dkiRllZ0unhwAM7zHSnKs/JNZU7HpNfmJwdVppjUroiYYsTGGNcwBPA0cB64AdjzAxr7a/hskmJIioq4Ljj2GHjapYmdWdCn315evkHANy015nMydkJioIjykeVrOShb96AercUPFRViRj17AmffCLeUwfi5JYcj2lzuRtrLfmbK4BgR3SnnFxRuhLhDGDvB6yw1uYBGGNeB04FthCmefPmNfsDWroeyUSjzRBZdsfU1jL0+utJW7CAgvRsbu9zKJOXTgdg7KCjmZC+c0CUyqvdnFm4mFd/e5t466P4mGNIWLeO1EWL8PTowbInnqDO44EOfn6VZcXyvbwUgPySGkqqPFTX1ZOeFMfm4jIANqxbxbzY8g61bVuIpPdHW1GbO46mdg8dOrTV9eEM5eUC60LO1/uvKUqLmLo6htx0E2kLFuDp2ZOJh5/Ds8vfJ976eLjv/jzYr3E47i/585j665vEWx9vDjuQxDVrSF20CHdODkufeYa6AQPC8jxSAmM5JGiXX1zD+iJpQ5nbPZkad0OjdYrSlQjnu7659szNbeRnxIgRjc4d9W16PZKJRpshwuz2eGSM+bx50Ls38S+/zN9Gn0ma18OUnrty684ngMdHTmYScTGGC+fP5M7VcwD4T7+DOLtoNSkl+TBkCAmffspu/fuH7aks2BQD7/9GercsstI3U1JRy8I14j3tNqQv3/+2HoAD9tubAb27hc3O3yOi3h9tRG3uOFqyu7y89ShAOD2m9UC/kPO+wIYw2aJEOg0N0lR15kzo3l26M1x5JRnV5XySOYiLdhyNNfJ2Nj4vd//0DneunoMXw98HHsXpRUsYXJIvg/+++ALCKEoA6ckJgJSJD+4j5exzlxcBMLhPZqCZa1pSfPM/QFE6MeEUph+AocaYgcaYeGAMMCOM9iiRis8nveymTZMODdOny7C+lStZ1WcQp+9yDvUxsWAh0VvPe8ve5vy8/1FnXIzd7VSuKJjP8Npilmf3gzlzoE+fcD8j0pL9HR+q3QzukwXA/5aJMA3M6RZo5prmFzBF6UqETZistQ3AtcBHyETcN6y1i8NljxKhWAs33ACvvgqpqbIB9s47Yf58GDSI/15wC1Wx8sc7o76Wjxa+zN6/zac2KYWLh5/K35Z/zqC6Muam9eGmM8ZJFV4E4HhMlbVudt4hu9G9wTmZeH2WxPhY7ZWndEnCuo/JWjvTWjvMWjvYWntPOG1RIpQ774QJE6R/3bRp8OyzUt7dowd89BGVaRIGy60r55MfnuPQ8rUUp2cx9dxreCjvY3Lryvkqoz+j9riAqqS0MD+ZIOkp/lBetZsTRgYrlLLSkxjuFyrHq1KUroZ2flAilwkT4N//lvETr70GCxbI4L7kZMk1DRmCAXas3sy3Pz3PrlWb+DU5mxdPvpgzp04kx1PFF9mDOW73P1MZm/hHp6FvV4I5Jjd7D8shJzMJgFMPHE5NXX2jNYrS1dBaVCUymTIFrrtOjp95RsTo73+X88mTwV/lM3TtUh756XmyGur4tlt/bu9/KNPfnkhKXQ0fZA3lsv0uoKbGC4BpthA0PIR6TMYYJt9wMHOXFzH2ohNZuHJTozWK0tVQYVIij5kzg3OQ7r8fDj4YRo6UIojbbpP5SQDTpvH3528nvsHDu92H83T//Xln4WukeD38vNt+nJZ5DKmuOECEyWmMGgmkBXJMHqy1dEuJ55g9+xAX66KyVtoTpSWpMCldEw3lKZHFN9/AmWdKefjYsTI99tRTZXbSaafB7beLQN1xB5x+OvENHp7J2Zsn+4zgrZ+nkOb18PUu+/PSeTcEKvUcIimUF+uKISkhFp/PUu0P3TmUV8noC/WYlK6KekxK5LBwIZx0kkyVvfRSuPdeOOUUWLoUdt1VQng1NVI6/vbbEBPDG8ddwHtr6nh30eskWi/P996Lj0++jJ4xW1azRVIoDyArLYl8d2VgOKBDqV+YstKSwmGWooQd9ZiUyGDlSjj2WCgrE8/oqafglltg1izp/v3uu1BUJF3B334bMjLggw+oTMtg2uKpJFovT+buy2XDT6bWa6n1SEufpqPXI4msdBEeZwaTg3OelZ7Y4TYpSiSgwqSEn4ICOOYY2LgRjjxSCh+mToUHHgCXS8acr10rBQ8LF8pgv++/hyVLuHTqo8Riubv/IVwz5ASsiaHW7aXWLXklbyNhiixlcjyikiYek3OuHpPSVVFhUsJLaal4Snl5IjzTp8PixfCXv8j9Rx+F336TibPFxTKy4rvv4OWX4a9/BeCvg4/l30NGBVyiGk8DNX6PyeeLYo9JhUnpoqgwKeGjpgZOPhl++UW8oJkzITFRckh1dVKZt3AhXHONFEOMGyfCNX483HMPuFy8eM4NPNLvAGJdwbdyI48pVJgiLMeUmSqhuhY9pnQVJqVrosUPSnior5fqu2++gb59ZZJsjx7wn//AokWy5qefRJgSEuC55+Dss+H88+GNN+TaG28wd2UMzJhPrCsGd72IUajH1OD1BX5lxHpMlbXQO5hP0lCe0tVRj0npeJymrLNmSafwTz6Rbt8rV4o35LBwIeTmwldfwejR4l298Qakp8NHH8EppxDnkuo7VwseU6gwRVrfuUCOqcXiBxUmpWuiwqR0LNbCjTdKgUNqqojTjjvKvY8+Cq4zBq6+WvJNgwdLjsnxqubMgcMOAyAh3i9MIZtnQz2m0HsJcZEVINDiB0Vpnsj6pCqdn3vugccfl6as06fDvvsG740cCfvsI6L02GNwwAGQny/FEYsXww47iDgNGxZ4SHysX5hC4nQ17obABFiQzaxenzewNlIIFj/UNbquHpPS1VFhUjqOZ5+Ff/1LhGfKFDjqqMb399lHptM6LF8untKaNbDzziJKubmNHuJ4QU67oRgDNW4vpVWewBqXKwbqvSREWCive3oyAIVl1YFrbk8D5dVuXDGGjBTdx6R0TTSUp3QM06fDlVfK8ZNPBvvdtcRPP0mPvDVrxJP68sstRAmCeaOYGHkrp/p70JXXBNv8xPpFK9JyTM7I9NUbywLX1mySkdP9e2VEVG8/RelIVJiU9ufLL2Usus8nYywcgWpt/eGHQ2GheEyzZ0uRRDM44TnnT3h6yAyjYP4pptHaSKFfz3RcMYb8oopAReHKDSUADMrJDKdpihJWVJiU9mXhQul353aLIN12W+vr33tPckoVFXDWWXKemtricic8Z/zeRfeM5MC9nCwZDBjj8hc/xEeWMMXFutihdzeshQ0lNQCs3FAKwOA+KkxK10WFSWk/Vq+G446TzuCnny6D/1rbTDR5svTJq6uTruKvvSb7lVrBCc85P7VPVnBKbf+eGQDE+H9npHlMEBSgfL8w5QWEKStsNilKuFFhUtqHoiLxfAoKJCz36qvS964l/u//pNOD1yvNWydObH29H6f4wemD1ysr6F317SEi5VTsRVq5OARDduuLG3tMg9RjUrowkfdJVaKf2lqZobRsGeyxhxQ+JLZQYebzyWTaBx+U84ceCvTAawtNCxp6dksJHOdmizCZCC1+gBCPyS9MeQUaylMUFSZl++Lziefz7bfQr5/0v8vIaH5tfb3MXXr5ZYiNhZdegvPO26pf17QEfHCfTIbmpFFZ28C+O0oVnwl4TJEnTKEek7U2IExa/KB0ZVSYlO3L3/8Ob74pbYNmzoQ+fZpfV10txQ2zZkFKCrzzjoy+2EqcvJEzd8kVY3jsL/tR7W4IlI6bJmsjicG5kkvKL66huNJNTV093dOTyEjVPUxK10WFSdl+PPGEhORiY0Vodt21+XXFxXDiiTJTKTsbPvgA9ttvm35lQnzjt7C73kt2r0SygQ3+fnkBjyk+8t7uocUPeZuqAM0vKYoWPyjbh/feg+uvl+Pnntuyq4PD2rWycfb776XF0Ndfb7MowZZeUI27fotjpxAwEj2mtOQEduyfjafBx4ufrgBg5E5bbiRWlK6ECpPyx5k3r/EG2gsvbH7dggXS/27JEthtN8lDDR/+h361kzdyBtVWVLsD95zjmAjOMQEct99gAOatLJbzfYeE0xxFCTsqTMofY/VqOOkkGfp30UUtb6D98EM45BDYsAEOPVS6O7SUf9oKmlbaVda6tziOieCqPIDRB+0YOE5PSeDwPQeEzxhFiQBUmJRtp7QUTjgBNm2S0N3TTze/gfbZZ0W8qqrgT3+SZqzdum0XE5y9ST6/y9Scx2SarI00DttzACfu05fkBBcPXnk0KUnxv/8gRenEROYnVYl83G7p0vDbb1Lk8PbbMsoiFGvh1lvh3nvlfPx4uOsuiNl+/x9yvKCAMNUEu4pX1DgiFdkeE8C/x+zB7XZ39t13n3CboihhR4VJ2XqshUsugS++gJyc5vcqud2yZsoU6eAwcSJcdtl2N8XJG3n9k2qb85gsttHaSMVE2ux3RQkTKkzK1nPbbcEJtB98IBtpQykpEW/qyy9lzZtvSs+8dsCptPP6HI8pRJj83pNTGBGJVXmKomyJCpOydbz1Ftx9t4Tj3ngD9tqr8f1VqyTvtGSJFDd88AHsuWe7mePsTWpoxWPy+UUrEvcxKYqyJVr8oLSdRYuk8g7gv/+F449vfP+HH2D//UWUdt0V/ve/dhUlCHpB9Q2ymba0qjZwzzl28k/qMSlKdKDCpLSN0lIYPVpaCZ133paNVmfMCA73GzVKNs42DfG1A07eyOMXppKK2kB7opIKESYn/xTpOSZFUQQVJuX38Xrh3HNh5UoJ3T3zTLAs3Fp47DHJKTl7mVpr3LqdcbliiIkxWAvxsTG4672460WISipFmBp8ch7JVXmKogRRYVJ+l9wnn4SPPpK+dtOmQbJ/SmxdHVx8Mdxwg3R9uOMOeOEFiIvrUPscTygzPQmA8hoPPp+lrKoOgPoGx2PSHJOiRAP6SVVaJfOTT8iZPFlKvt94Q/rbAaxbJ1Np580ToXrhBTjnnLDYGB/rotbdQGZKIptKqqmsrScpPhZrISMlIRDmU49JUaKDsHhMxph/G2PyjTEL/F8nhMMO5XdYuJABd94pxw8+CEccIcdffgkjRogoDRggPe/CJEoQrLZzRkWU19QHSsWz0pNwexpknQqTokQF4QzlPWyt3dP/NTOMdijNUVUFp52Gq66O4uOPl3CdtTBhgrQfcooc5s2TKbVhJDEgTDJ/qbjSTXGVlIp3T0/C67MYA7EujVwrSjSgn1SlecaPh7w8aoYOZfX48dLJ4dJL4brroKEBbr5Zhvx175XVTmIAAArMSURBVB5uS0nz95brlZkKyGwjZ1R532wpwkhPTtDOCooSJYQzx3StMeYCYB7wN2ttaUsL582bt1XXI5losDn1558ZPmEC1uVi1e23E1daSvU++5Dy6694ExJY869/UXLssTLGIgKIsTJ3yVtXCcg02AZ/wUOsTwQqMc5ExWsfDTY2RzTarTZ3HE3tHjp0aKvr202YjDGzgd7N3LoFmAjcBVj/9/8DLmkvW5S2Y9xudrjrLoy1bDz/fFJ//pm+Eybgqq3F3acPKx54gNo/OENpe5OSIG/jtET5nl9cE6jEy0pLaLRGUZTIp90+rdbaUW1ZZ4x5Fni/tTUjRoxodO6ob9PrkUzU2PzUU7BmDcTEkLN4sXRzADjzTBImTmSX7Ozw2tcMfd9fBcuK2GnYIPh4OfklNdT7N9XuOnwwfLycnt27RfRrHzXvjyZEo91qc8fRkt3l5eWtPi5cVXk5IaenAYvCYYfSDJMmyXefD374gfqsLFbcf780Yo1AUQJIT5YcU0JcLDExhk1ltawurAIgIyXRvyYhbPYpirJ1hCu+8YAxZk8klLcauCJMdihN6ddPetzFxsJFF7FozBi8HdTFYVtJ84tOTV09/XtmsHpjGeU19STEuYiPlf97paeoMClKtBAWj8lae761djdr7e7W2lOstQXhsENphldekZZChYXw7LMRL0oQ9IYqa90ctffAwPUj9hpIVV29f41OhVWUaEHLxZXGxMdL1/DMzHBb0mYcb6ii2s0pBwYLM045cFhg9EWahvIUJWpQYVKiHmcfU2WNh2P3HcxfRg1lzMEDOG/U7lTWijBpjklRogetoVWinoDHVOMmIT6WK44dFrjueEyaY1KU6EE9JiXqcbyh8pDptQ7OqHXHq1IUJfJRYVKinm7+5q3OmItQSivlWmZaUofapCjKtqPCpEQ9Wf45TM5gwFCca84aRVEiHxUmJerJ8ntDpc0Ik+MxZanHpChRgwqTEvU4YbqSilqstY3uqcekKNGHCpMS9cTHuUhNisfrs1T6BwQ6lFT4hUk9JkWJGlSYlE5Bc3kmT72XqloPrhhDmnZ+UJSoQYVJ6RRkhYTzHEpDwng6JFBRogcVJqVTEBCmEI/JOdZScUWJLlSYlE5BIJQX4jFpfklRohMVJqVTkJUmm2yLK2oC14orHI8pMSw2KYqybagwKZ2Cvj3SAVizKTgZc82mMgD6+e8pihIdqDApnYJBOTKmI29DaeBaXoEcD+oTPSM8FEVRYVI6CYNzswBYGSJMzvHgPllhsUlRlG1DhUnpFAz2e0WOlwRB72mwekyKElWoMCmdguyMZFKT4imrqqO8xoO1NhjKy1FhUpRoQoVJ6RQYYwKe0friGooq3NS6G+ienkRGqlblKUo0ocKkdBqcIof84hryS2oaXVMUJXrQ0epKp2FwiDB5Gnz+a1r4oCjRhgqT0mlwRGh9cTXuBq//mnpMihJtqDApnYZdBvQA4Jc1ZfTISGx0TVGU6EGFSek07L9zX9JTElhVWMWqwiqMgaNHDA63WYqibCWm6cTPSKG8vDwyDVMURVG2GxkZGVvMpNGqPEVRFCWiUGFSFEVRIoqIDeUpiqIoXRP1mBRFUZSIIuqEyRhzljFmsTHGZ4wZEXJ9gDGm1hizwP/1VDjtDKUlm/33/mmMWWGMWWqMOTZcNraGMebfxpj8kNf2hHDb1BrGmOP8r+cKY8w/wm1PWzDGrDbG/OJ/feeF257mMMa8YIwpNMYsCrmWZYz5xBiz3P894jaOtWB3RL+njTH9jDGfG2N+8//tuMF/PWJf71Zs3urXOupCecaYnQAf8DRws7V2nv/6AOB9a+2u4bOueVqxeWfgNWA/oA8wGxhmrfWGy9bmMMb8G6iy1j4Yblt+D2OMC1gGHA2sB34AzrXW/hpWw34HY8xqYIS1tijctrSEMeZQoAqY7HzOjDEPACXW2vv8/wnItNb+PZx2NqUFu/9NBL+njTE5QI619kdjTBowHxgNXESEvt6t2Hw2W/laR53HZK39zVq7NNx2bA2t2Hwq8Lq11m2tXQWsQERK2Xb2A1ZYa/OstR7gdeR1Vv4g1tovgZIml08FJvmPJyF/iCKKFuyOaKy1BdbaH/3HlcBvQC4R/Hq3YvNWE3XC9DsMNMb8ZIz5whhzSLiNaQO5wLqQ8/Vs4z9kB3CtMWahPywSMeGDZoim1zQUC3xsjJlvjLk83MZsBb2stQUgf5iAnmG2Z2uIive0Pxq0F/A9UfJ6N7EZtvK1jkhhMsbMNsYsauartf/5FgD9rbV7ATcBU4wx6R1j8TbbvMXGMuQPVIfzO/ZPBAYDeyKv8/+Fw8Y2EjGv6VZykLV2b+B44Bp/+ElpP6LiPW2MSQXeBm601laE25620IzNW/1aR2RLImvtqG14jBtw+4/nG2NWAsOADkkkb4vNyP/m+4Wc9wU2bB+Lto622m+MeRZ4v53N+SNEzGu6NVhrN/i/FxpjpiEhyS/Da1Wb2GSMybHWFvhzDIXhNqgtWGs3OceR+p42xsQhf+Bftda+478c0a93czZvy2sdkR7TtmCM6eFPfGOMGQQMBfLCa9XvMgMYY4xJMMYMRGyeG2abtsD/AXA4DVjU0toI4AdgqDFmoDEmHhiDvM4RizEmxZ8sxhiTAhxDZL/GocwALvQfXwi8G0Zb2kykv6eNMQZ4HvjNWvtQyK2Ifb1bsnmbXmtrbVR9+Z/YesQ72gR85L9+BrAY+Bn4ETg53Lb+ns3+e7cAK4GlwPHhtrUF+18GfgEWIh+MnHDb9Dv2noBU5q0Ebgm3PW2wd5D/ffuz/z0ckTYjFaQFQL3//Xwp0B34FFju/54VbjvbaHdEv6eBg5EQ9EJggf/rhEh+vVuxeatf66grF1cURVE6N50mlKcoiqJ0DlSYFEVRlIhChUlRFEWJKFSYFEVRlIhChUlRFEWJKFSYFOUPYozx+rsmLzLGvGmMSd6Gn/Gcv6kvxpjxTe59u71sVZRoQMvFFeUPYoypstam+o9fBebbxpsit/nnKUpXRD0mRdm+fAUMATDG3BTSc/BG/7UUY8wHxpif/dfP8V+fY4wZYYy5D0jye2Cv+u9V+b8bY8x//Y/7JeSxh/sf/5YxZokx5lX/LnxFiUoisleeokQjxphYpAnrh8aYfYCLgZFIY9nvjTFfIF0eNlhrT/Q/JiP0Z1hr/2GMudZau2czv+J0pBHmHkA28IMxxumntxewC9IX8BvgIODr7fwUFaVDUI9JUf44ScaYBUjD4LVIv7CDgWnW2mprbRXwDnAI0ppllDHmfvP/7d2hSgRRGMXxc7DZLSajWTAIahVMmgw+gS/gA1gM+gRiMAhGu01thhWMZoPVoojsHsMMuMgoyrrsJ/x/aZjhzuWG4cx3Gb6xV5I8/WKeZUlnSfppGmNeSlpsr90keUgyUNMKZu5PVgZMABUTMLqXzxXOV1tpSe7bampd0r7tiyR7P5znu+2516Hjvni28Y9RMQHjcSVpw/Z02zF8U9K17VlJz0lOJR1KWugY+9b+PqDrnlu2p2zPSFpVwW70wKh4qwLGIEnP9ok+guM4ya3tNUkHtgdqul3vdAw/knRnu5dke+j8uaQlNV3II2k3yaPt+bEtBJgAPhcHAJTCVh4AoBSCCQBQCsEEACiFYAIAlEIwAQBKIZgAAKUQTACAUggmAEAp78iwpMOT50gmAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1912,14 +1941,14 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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iuBsbEzPD0uuvX5fWRNGoZFbpNDgSQf7oUZ0+q2wJKkyKEgBGb4zwmFKeESjj1ttU84PrSuYzMyOZUjQqZoZoVOzg3d3Ln3PnDvDkiQhXW5usKUUiKBw9Cre9ffNiU5QatIGVogSAESQ24y+WlPLMRqZNMz84jvS9M6IUj4somTWilUTp/n0xRliWL0qWBZw8Wd8nT1E2Gc2YFCUAjOAY3YmQyZjk1tnMUp4xLiws1JfvjCitJDITE8DduyJiqZRYwi1Lyn09PcuvV5RNRIVJaUoezS7in//ei9jRlcRnzr4OkUi4igNL15Asqz5jMuefW5eMxdtkO5GIZErG4r24KM68REKG+gFiijAdINrapKMDkRgj+vqeMyBFeTrh+m1VlE3iAx/7Cr55fRp/+uJr+MM/uxB0OMtwmeG6DAaDULPGtHQf0/MoU6UiU2czGcmSIhE5lkzKmtLdu2KEmJz0ZyVNTYnZAagXpWPHlrv1FGWLUGFSmo5yxcFn/+pa9fEff+1qgNGsjOsyXHZBoLpszggUP+8aU7kMXLggGZHpBl6pSFludFQEaXrav767W9afrnmvWyol85cAuX7nzmeLQ1GeARUmpen46ysPkC2U0deRABHw9Yv3kSuUgw6rDoaY5Cyvk7ihWsp7HldeqSSilMv5omTbkgHt2yfjznM5//oDB2Qd6upVUcRUSvY1AcDIyPLNtoqyxagwKU3H31x9CAB425lBjAx1oVxx8MrtxwFHVY/rcrUdkVUzCNDYxY0cbbiUVyyKKOXzYm5gFlHq6JA9SjdvymNDf79kS1euyLXJpC9KR48CQ0PP+iMqyjOjwqQ0HeOPpAnpwR0dOLhDHGfjk/NBhrQMkwlZRLAsAjMjk69Ul3qeyfxQKACvvCK3sZikZI4jopRMitOulrY2EZ6rV+XaZFKyLQA4dAjYu/c5f0pFeTbUlac0HXc8EdrT34bpTNE7NhdkSMsw5gfLIlhEuDeTx3SmiONpb12H/OvWRS4nRodyWfYo2baITUeHmB5mZsSV19FR3SSLAwdkw63jiCuvKK8VDhzwHXqKEgCaMSlNhxGhvf1t2NPf5h0LV8bkesMAiQgAVwX00WwWgL/GtC7zQzYr5buVRIlZetzFYrJWZLqH79snlnAjSuWyf/zQoU3+aRVlY6gwKU1FqWzj4XQGlkXY3ZPCnj4RJlPeCwsMKddZRLAdX3zKtgNABIuZn25+yGRElCqV5aJk25JJJZMyW+nRI3nOnj1S1rNtEaVKRQRsaEjGXShKwKgwKU3FvccLYAb27+xGLGphb4gzJtdlEAHlim9GKJblPlkE5qeU8jIZKd/VCozrylylUklKc+3tIjZ374r47NwpNnEjZOWyPGf3bmB4eKt/bEVZFypMSlNhMqMjQ9Ile0dXEolYBFPzOWRDZBl32dtcS4RSxakeZwAV2wFBMqpVS3lGlEwpzmQ9HR0iSpWKuO1GR8WJ57riystk6kt+RqxGR/1NtooSMCpMSlNhMqPDgyJMlkU45N0PkzNPynSiBcY2bnBcKfGJdK1AOu2LUm3W094ujjzbltZBIyPiuKtUZGR6oSBZVG3Jb2BAujqoKCkhQoVJaSqM8eHIHn+ukMmewuTMc11PmEBwHF52DiS6sSxjSqel953j+GMrmEWU8nk5vmOHZEBXrkj21NYm1xWLYoIwotTXJ/3vVJSUkKHCpDQVE9OLAGSNyXBgl9x/OJ0JJKalMLNvfqgZn05Vi7grGdNS80OtKEUi/kbZtjYRJWZgcFAypcuXJUNKJuX6UkmETNROynpjY2IhV5SQoe9KpamYW5SuBQPd/rjv/i65P79YDCSmpSz1MxhhSkQj1fNEJG2LzMULC74oWZYvSsmkL0r79km3hitXxEIei8k1RpSY5fnd3SpKSqjRd6bSVBhh6utMVY/1dibrzgVNdUjgksdRb1igy+LWq5ofFhYkA3I8k4Tj+MP+zKbYw4dl/9HVq5JZmW7ixaLfL89xZK3p5Ek5pyghRTs/KE3FXMYTpq4UZqWqVxUpcy5ouFq6q+8kHov602tNKc/KpIGpOyIq5kIiyYbMptiRESnhXbsGzM2J6BhRMgJk+uWdOuULlaKEFM2YlKZipYyprytVdy5o/FJe/Xj1WHVIoJy1Mhkkb1yrFyXAn6tkhvcNDYklfGpKjpkJtZYlj01n8VOn/PKeooQYFSalaajYDhbzZUQsQld7onq8mjGFRpjqG7QayYnVDAmMZtLovH19ZVEy60xjY7IHaXxcujqYTKpUkvvGIJFKybTaeHwbf0pFeXY0p1eaBmNu6OlIVstkQE3GFJJSnqHaD2/JGlN0MY3O18bhOC7qNjJFIuKoi0RknainB3jwQP4B9eU9y/IHA545I5twFaVB0IxJaRqqZbyuVN3xsGVMBgbXWcJjUQvRTBrdd27Cqh73lGklUZqYkGyJ2RclZhElx1FRUhoWzZiUpqFqfOisF6beGvMDM9dlU0HCDK9fHoEIcOcW8J+++jIuT+VwekcKP7S/A/0gERojSqdOid17clK6gwOypmRaEplrVZSUBkaFSWkaTEbUu0SY4rEI2pMx5IoVLObLdetPQcBLbgnAa3ef4Fe+fh9PCtKe6FtPirgxV8Jvfn+nCE6tKD16JGYHwF9zkjnt/hTa06dVlJSGRUt5StOQzsoaU29Hctm5Hu9YOheOTbYGBmPmwSQ++uW7eFJw8UJvAv/r8W7ELOBrk3lcmspLRnT6tIjS48fAjRvyZFOyc12/bUQyKZlScvlroCiNggqT0jQset3DO9vEfTYxl8dioeIdk+xhMR+eDuMAQPNz+OjnzmPRBs72RzHcE0fFBX7kiLRR+szttGRKXV0iStevyxPNmpMRJSIVJaVp0FKe0jRkciUAQFd7An/x7Tv4kQ99DR3JKG6cOIkuT5gy+VKQIdYRTy/gv3/rCq7Nl9AeAV6ZtfGKtyv4TbuljdLtSlRE6ckTX5RMplS74VZFSWkiNGNSmgYjOl1tCXzyK5fhuIx0voIvfutWdV3JiFeQMDOiC/PouHcL//madDzPed2G3rqvAxYB33qcBwDM5cuycdaIEpGfKQEiUipKSpPxVGEiog8T0YntCEZRnodFT5g6UnF88Vu3qse/8K2b4cqYZmfRfucmvjmRx4PFCqLe8tAbd0QxNpDCyf5k1RhhlyrSasgMbxIrn1++SyRk/UlFSWki1lPKuw7gY0QUBfAHAD7FzOnN+OZEdA/AIgAHgM3M5zbj6yqtSaZm/Wgmna/ev3J3Ct95Yp9cE3TGNDcH69VXQcz47F0p29kMxC3gxWkbL05PY3eP3xl9Z5xrWkSsIEpnzog1XFGaiKdmTMz8u8z8ZgA/BeAggEtE9Eki+r5NiuH7mPmMipLyvBjRyRfF8HB4VwcA4N7jBXSmxBCxGGTGNDcnIylcF3OFCq7MlWB2VJVrhtgu1AjsrlTN344qSkqLsK41JiKKAHjB+zcD4CKAXyCiT29hbIqyIUyZbsGzhB/Z3YmBrgQqtrvsmm2nRpSYGX/zOI+avg4AgB3lHADAth3/WJvXdFVFSWkhnlrKI6J/D+AHAXwVwK8x84veqQ8R0Y3n/P4M4C+IiAH8NjN/bKWLzp8/v+Ev/CzPCZJGijessT6eFiPBrfHXAAB7+tswnSliJlPCw0ePAQA3xx9se/yRdBqpO3dAzGDXRcVhfO1OzZh3b/1oOt4OALAdf1/STs7i+rVr0q2CCG4shvzICPjq1W39GVYjrO+FlWikWIHGinejsQ4PD695fj1rTFcA/G/MnF/h3Bs3FM1y3szMk0S0E8BfEtF1Zv7Gc35NpUXJFWWq61xWSmF7+9swnS7iwt15FMtO3TXbRSST8UXJa4fEzLiTrandeSIUc21UrChABAuAC+Bkl+WLUjSKwsgIWI0OSpOzHmH6SWb+/doDRPQVZv67z2uCYOZJ73aKiD4HEbplwnTu3PqXn4xyb+Q5QdJI8YY91rIrb52CI8Px9vS1YSotpbtYUrKRRHvX9sU/Py+TZ0dG6kZXFCs25r84B/H8+FSsKAhSRnABHOqM4dwLBzF6aJeMrDhzRuYqhYCwvxdqaaRYgcaK91ljTafXlo5V15iIKElEfQAGiKiXiPq8fwcBDG0oipW/fjsRdZr7AL4fkp0pyjNRLEs2NOv1zBvoSmKgS2ziOc8QYa7Zcowo1e45AgAilGzGQsmpGh/a4/6Ycwaqx988mIJFVuhESVG2mrUypp8D8PMQEXq55ngGwG9uwvfeBeBzXqfnKIBPMvOfbcLXVVqUUkUykAWvZ153WwzdKTEP5Eu2d802CNPCgi9KZv8RUG2y+qggcSbiERTLDn5gfzuyuRxezQJ3Fx0wgAgB7z7YBTcWU1FSWo5VhYmZPwrgo0T0z5j5/9nsb8zM4wBOb/bXVVqXsl0vTJ2pGLo8V1vO66NXrjgrP3mzWFgALl3yRclgOn9Ho4icOA7gRUS83OhrEzkcahNRiltiHX/7gU4MdKeQHz2uoqS0HKsKExH9D8z8VQATRPT3l55n5s9uaWSKsgGYuSo6zNLINRqx0OU1dM16wlTaSmFamikZakQJp05hgEQsixUbu1IRPCk4eFIAogQ43tP+p7EdSB99ASkVJaUFWauU9z0Qi/gPrnCOAagwKaHB7FWKRizYjlsdFmgypsWtzpiMKNU2VwXqJ896XcJTr01gsD2KRzkb7zvZj5ce55ArFHA7B0zmXfzQ4S70v+EMFrXHstKirFXK+1Xv9me2LxxFeTbM2lEs6gmTN1692xMm0xViS9aY0ul1ixKePAHduIF3HerG716ZxadvLODdBzrwR1N5PCkyhnuT+PF3fyecZArwDBuK0mqsp4nrrxFRT83jXiL6t1sblqJsDJMJRS15S5vBgMlYBLGoVV1/KtubnDGl07Km5Cz5uktFyQz5u3YNxIyfOt6LnriF2+kyPnJpDk+KjKPdUfza+96KWKe0UgrJBHhF2XbW05LoHcy8YB4w8zyAd25dSIqycczaUSQib+nudhEmIqp2Fq+9blOoFSWzjkRUL0onT/rj0L3RFWwROmMRfOg7BvCOA5041hvH+0aS+O1/+p0YGOz3/eJe/IrSaqyniB0hogQzlwCAiFIAEk95jqJsKyYTiljyQV4rRl3tCcxmZG/Tpq0x1YpSJALYtohSNCr3LUtEqacHmJwEbt6U50UioIoDdl0M9yTwf+3rwVzZxd2uTnBCYrY8MbJUlJQWZT3C9EcAvkJEfwAxPfzPAD6+pVEpygYpeRtnLU+YzHh1AOhM1WZMm7DGlMn4omSEiEg2wpbLcv/EieWiVDt5lkjaE8UTSB84CGd+GrbDiACA17ZIsyWlVXmqMDHzbxDRJQBv9Q79n8z851sblqJsDJMxEVbOmKrXPW/GVCtKRogA6fRdkKwMx44B/f3Aa68Bd+7IsUhEnuN1gSAiOPEEsqPHgbIYJiqOiwT8Sp7qktKqrNeP+gqAGCRjemXrwlGUZ8OsHZkP81ox2rQ1pmxWRMm2ZfSEEaW2NiDv9TgeGQF27gTGx4EHD/z9S0aUiEAWwY0nkDlwAL3JJKgigmZ7lndTwiMiFSelJVmPK+/HALwI4EcB/BiAvyWiH93qwBRlIyzNhMxgQKC+rPfMrrxcDrh4UUTJZErMIkomUzp8GBgclNLdgwdyLBarEyUQgZJJZEePw02Ipd2U7CqOyabkqapJSquynozplwG8gZmnAICIdgD4MoA/2crAFGUjmLUjs42osy0BoOLdF2EiAlyXYTsuopF1zcgU8nkRpUrFz5SYgfZ2OccM7N8P7NsHXLsGTE3JN4vF/Gs9GzuSSeDkKbi3psDFfDUuAKh4bR+ICC4zLIvUAKG0JOv57bSMKHnMrvN5irJtVDMm73M8GY+CPZVKxuXvL7PHaUPrTMWiiFK5LJlSpSJC09Eh55iBoSHgwAGZUPs0UTpzBpY3edZIjhEf072CyPgjqGrmUJRWYj0Z058R0Z8D+JT3+McBfGnrQlKUjVNdY/Iex6IR/O9/fBGnDvYhEZMNq5GIhYrjolSx0ZaMreOLloALF+Q2Hpcynuv6ouQ4sp50+LCsPaXTYnKIRuU5gL+/yRMlJJOg2u65N7KaAAAfYElEQVQQ8IWpXCdMDILuY1Jak6dmPsz8LwF8DMApSDfwjzHzL211YIqyEczakfnI/+bVB/jiSxP49c9ernYWN3uc1pUxlcuSKRWLkv3UilKpJI/7+oAjR0S80mkRJCNKZqPtElECPFODd8vMVWFyPcGyyPIzJhUmpQVZlyuPmT8D4DNbHIuiPDOlJQMAHzzJABBdSHt98owwPdWZV6mIKOXzIkpm2F9HhwhSpSLdHI4erb8uEhEhsyz5Z9tiIz9zRtamarAscdy5zIhE6sXHZEzyZVSYlNZjrbEXi/D/AK07BYCZuWvLolKUDVLNmLysY3I2Uz23kJP5TJZZY1rLmWfbIja5nGQ/zFKy6+iQ+8Wi3D9yRK4rlaqZEIpFESfLEvFaRZQA3wouS1D1hYuIZcFlG1TdlaUorcVa3cU7tzMQRXkeSjWzmADg4bQvTPPeqHVTFluaXVVxHFkrymZFlIhEYDo75X4mIyJ06JB0E69UxC7uuhsSJRMLQUp5qXj9elc8FkG2qOYHpXVZl7uOiL6LiH7Guz9ARIe2NixF2Rj+kEAvY5rJVs/NL0rGZJZrVsyYHEfEJpMRUQJEYDo6RFwyGSnX7dsHvPqqf85xRJRqhaytbU1RAqREZ1kEZiAW838NjYOQXQaR9stTWpP1bLD9VQC/BOBfe4fikP55ihIazD4mYyCoFZ9Cqb6P3rI1JtcVq/fCgmQ9gJT02ttlLWlmRo7v3Ancvi1i1NMj15RKvpCZ5zxFlABUzQ8uM2I1e6qSMfn+pleeuvKUVmQ9GdN7APwQgBwAMPMkAC3zKaHCCJHrLl8WzZdko635iK9z5bkucPUqMD/vl+KMaWFoCJiYkEyos1PuM4tAFQq+Yw+Q53R2iijF43galkVmsRYAob9ThGxHT7vE6omolvKUVmQ9wlRm+e1hACCi9q0NSVE2TqnsCVPNHqGBLvmwzxXFLm6yj2qHcWbp1DA7K4IUiUgpLpkUx934uH/dgjeSbM8euV8q+e2GbFsyq9OnfaF6CrXmB5cZ+wfacXhXB3b2er9e3o+hsqS0IusRpv9CRL8NoIeI3gdpR/Q7WxuWomwMkzE5Xr85ANjRJW654hKzQ7nijZ64fh2YnhZRikZl71IiISMrTMnOEIlId4epKb8LhOmB19MjU2qj6+2J7JkfiMBguK60H+rtSFTNG0ZENWNSWpG17OL/L4BPMvOHiehtADIARgH8CjP/5XYFqCjrwWRBTk0przMVQzxqVTsq+Nc60mj1yRN/uJ8Rm1OnJFMyjVkByaAOHJARFrWdxZllk+2JE/7a1DqxLELEsuDYjvTF8447bn2san5QWpG1/sS7BeAjRDQI4I8BfIKZL2xPWIqyMUyfObsmY2qLR5CKR6rCZLKR+P27gNvmD/czZbnTp4G5OSntGXp7pXx3/bovSqZf3sAAcPy43wtvAxDkadWmst5xI6wmU1Lzg9KKrPobxcwfZeY3AfgeAHMA/oCIrhHRrxDRyLZFqCjrwJgeajOmVCKKtoT/t5fLjEOFOaSmHteLUjQqmVJ7u5ggDPv2+R3DzbiLSkXKdzt3Sqb0DKIEeHZxssDguvKjvWT0hZbylFZkPb3y7jPzh5j5LID/EeLSu7blkSnKBuCaJiXmw7wtIRmTYU92FvuLaTBIMp9SSUpwp06Jow4QRRgcBMbGJFu6ckXWkpJJX5R275Yptc+RzVje5lkCgVEjrE79sEAt5SmtyHr2McWI6AeJ6BMA/huAmwB+ZMsjU5QNUNuw2/TEa4v7GdPeYhp7c3NgIpQTCb+n3cmTQFdNd62TJ4HRUbl/+bIIUTJZP+JidPS5556bEp35KibTs52lU2yf69soSkOylvnhbQDeC+BdkAm2nwbws8yc26bYFGXdcI0yRSwLFbhIJaJIxSMYKmVwpDAHTsaRseKIFQvyiX/8uDjqljI1JeU7ZtnPVJTOEdi7V2zkm4DJ6oyIOsyIwReoailPlUlpQdYyP/wbAJ8E8C+YeW6b4lGUZ6I2YzIf5smYhT2VLNryYmaYiybQXVwUERsdFfPCUh4/FqMDIKJk3HkHDkiPvE3CyI3ZSOs4DMR8V141o1JhUlqQtZq4ft92BqIozwOv0Ai/O5fGgfQU5gHMRlPYUymiCCAzuF/WiZYyOSk2ckD63eVl9DkOHRJh2kRMxmREdFkpTzs/KC2MjkhXmoLajIkIGCjnsGvqEQjATKwNvU4RBOB+sge5gZ3Lv8D9+yuL0pEjmy5KgC9IEa9PnsmUjO1dzQ9KK7P+reqKEmJq15j6ynkcyk/DojZk2jrQYy/AYsbjZCfuWd31uRWzbJx9+FAe14rS8LDsYdoCqp0dPN1R84Oi+GjGpDQFRpd6KgUcyz4BMSPX0YWOSglRdjEVb8etVL93LftPunFDRIlI9jEZUXrhhS0TJaDW/CC/grYjMVW81komk9KMSWlFVJiUpoABdNlFnMw9gcWM6Xg7UuUS4q6DuVgK19sGqukHy8Yh2aP0+LHsZWpvl6m1xq230hrUJlIt5RlhWpIxaa88pZUJVJiI6O1EdIOIbhPRB4KMRWlsEoUcTmVFlGbibWizy4jbZRQSSVxt3wmmmre6XZFJtbOzvihlsyJKJ05IV4ctxiRC5tYIUsW7jWhLIqWFCUyYiCgC4DcBvAPAcQDvJaLjQcWjNDDZLPY+uocIu5iOtSHuOmh3K/j81Vn814Uk3BpRirk2+sZvyuiKeFxEKZPxN9uuZCHfAkzGFI2snDGZRElLeUorEmTG9EYAt5l5nJnLkA287w4wHqURyeWAixdhOQ5mYm0gZnQ5JZSsKK53D8G2/JZEcaeCs9nHiBZy0s0hlRJRikRElPr6ti1ss4ZkSnkV24XtyL+I5U+ujWgpT2lBqNbNtK3fmOhHAbydmf8X7/E/BPAdzPx+AEin09XAbt26FUiMSrihYhFtN27Asm189K8f4avXZ7C7nIVrWXipYxD5iD9Jts0p4w3FaaBcxj942wv43tN7Ec3lwJaFwvAwnI6ObY19PlvC+JMs2hNR5Eo2IhZheLAL1yfSSMYjKFdcuMw4fbC3mlUpSrMwPDxcvd/d3b3sr68g3/Er/SkYjEoqDQeVSmi7eROWbcPu7EQhFhdRIsLljl11otRpF3Em+xhx10Y6koBLERGlSAT5kZFtFyXAz5SkyzjBcRn5ksyUiket6iRezZiUViTIfUwPAeyrebwXwORKF547d27dX/T8+fMbfk6QNFK8oYm1VAJeeQU4fFhGmg8MYPirdzBOhFfbdsDu6AQKFewfaEcsk8bQwmNYzEinOoFSGYd6uzA6NibzlwIQJQDI5Eqwbj1CZyoOBvDShcvIFCoYHR3FUH8HJmeziFiEN5za/M29m0Fo3gvroJFiBRor3meNNZ1Or3k+yIzp2wCGiegQEcUB/ASAzwcYj9IIlMvAxYvSWLWzU0ZUjI+DiHAz1Y/ZeHv10p2FNI4tiihNxdsRYRfddgluLA6cOROYKAE1zVtdRjIufx8uFioAfENE5BlnPSlKoxPYO5+ZbQDvB/DnkPlO/4WZrwYVj9IA2LbYvPN5EZUDB6SNEDNm+nbicUJmKjED+4sL+NnDURzb042JeCdSro1uu4SiFcXc4VFx4wVItKYVUcoTJtP9IR6L1l2jKK1GoC2JmPlLAL4UZAxKg+A4Mh8pm5W2QUeOAFevykbZoSHM9aUBPAKYcSQ3g97CPJh78KizDz3OPbQ7ZRRSKVxI9sNNpoL+aaquPNtx0d2RrB4nAG2JmFyj60tKi6J/kinhhxl49VUgnZbJs8eOSSsh2wZ27ACGh0EAiF0cz09jqJiBS4SpgV3ozi+i3SkjH4nhUtcgSpFYKPrP1ZbyetoT1eM9HclqfJoxKa2KvvOVcMMs85FmZ4FYTPYb3bnjrzF5I84jroNT2SfYUc7BtizcSPWja2EOiUoJ2UgcFzp2oxKRAkEYuikQkZ8REeHAjnZ0pmI4NNhb3WQbUWFSWhR95yvh5s4d4MkTfxPso0d+14axMenYUCph/6O76LGLKFsR3GwbwKHiAqLlMrLRJC527EbFisLsUAheloTqOpPjYqAriZGhLnS1J6prTZoxKa2KvvOV8HL/vt/5e2xMujxMTIgYjY1JWS+TAV56CclKEflIDNdSAziSm0XStVFIpHC7f09d9wcgHBkTUNtZ3K07bi/pl6corYYKkxJOJieBu3fl/vHjIkZmkN/ICNDVJZ3BL1wAymUUkh24merH8cIM4uxgIZrEa7v3o0LL3+Ih0SW/T94qwqQZk9Kq6DtfCR9TU/Ui1NkpIyqYgb17gV27gNu3Ze3JdYE9ezDbtxNjuSnEXAez0RQudexCwQGKZaf6Zf3he+FQplh0bWGKRSPLnqMorYBOsFXCxdwccO2a3D98WETolVeASgXo7ZW9S5cuAfPzkvoMDwOJBPY9vo+L7GI63o47bTvADqNQslGoFSYrnGtMlSXCZIYFasaktCoqTEp4yGRkbxIzsG8fsH+/2MSzWekEfvAg8PLLQKEgDr2xMXHnXbkCC4zJRCdupfpheR0X82W72n8OCGPGJBnRqhmTCpPSoqgwKeEgl5NMyHFkeuyRI+LGm5oSR97QkH++o0NEaWZGSnoA5nt34lZbGQDgeq62QsmpL+VVh+9t88+2CtWMyXbqjldsXWNSWht95yvBUyxK/zvblkF9o6NSuvNEB0RiG3ccmS579qzYxs35I0cwv2MQQL2TLV+2kQ/zGtNTzA+6xqS0KipMSrCYpqzlMtDTIw48ImB8XMQJEMEiAg4dkg214+NiJScCXngB2LevaiSobXxaKDko1JTyjB7FQ/KB72dMusakKLVoKU8JDtOUtVAQ553ZMAuIucHQ0SFZVHu7GCOmpuS648ero9CN2EQjhLKnRYvFCkq2CyJZtjLEY+EQpqetMakwKa2KCpMSDK4rFnBjbDh5EojWvB1375Y2RDt3ikXcXD8353eB6OmpXp7wOnJbNRnTTKYEAEjGoyiU7Ko4JUIiTCutMTmOC4aUJC3dYKu0KCpMyvZjmrIuLEj3htOnpcVQLQcPyj9ASnqXL4trLxYDTp2SDKsGkwXVrjFNpYsAgPZkvK6kF5ZSnik/lm0HMe9Y2RMpXV9SWhkVJmX7uXVLHHXRqIhMMrn6taWSlPtyObnu1CkZe7EEkwWtlGWkEvI2Zy9lSsTD8bZPxKIgAKWKg4jLsCyqCmgyJDEqShBoEVvZXu7dk3ZDliXluLUG9hUKsrk2lxMxOnt2RVEC/CzIOO9MNgIAqbjkIwyuuzZoLIuqIln2DBBFb4EspcKktDAqTMr2MTkpwkQkxoXu7tWvzWZFlIpF6Yt39qyU/VbBfMAbK/hQv1/q6+2UjMzsbwrLGhPgC1DJK+EVSuJETCViqz5HUZodFSZle5ieru9/57npViSdrjZnRW+vrEHF1v6gNlmQsYTv2dFVPVcVJs/8EBZXHuCX7EoVyZgKZS3lKYq++5WtZ2HB73936BAwOLj6tTMzYoxwXZlOe+yYbyFfA5MFkdcJb09NxtTTbjIm17s2PG97kxmVKpIxVUt5ifDEqCjbjb77la0lnxebt9cFHAcOrH7to0eSVTFLC6Lh4XX3DzJZkLl8b03G1N0hwmQG8IUpYzICVPLWmLSUpygqTMpWUi6Lo860Gjp6dPVr79/35y/VWsXXydIs6C0n9+Pyzfs4dbAXlBQruhPCNSa/lOegYrtwooxoxNLNtUpLo8KkbA2OI3uPikXZc3Ts2MrZD7P0vJuYkMcjI5ItbZClWVDFcfFvf/IsIhbh49+ckpC8Ul5YXHmAnxmVK66U85LqyFMU/bNM2XyYZU1pcVH2Hp08Kd0aluK6cp0Zl37ixDOJEuBnQaa7Q7FsVzfblrxGrqbVT1j2MQHS/SEejcBlxlxWuqO3JbWMp7Q2KkzK5nP7dv0G2qVdHQAp712+LH3vzHU7djzzt1zqyssWytVzi959ZjkfCVmrH+ManM4UvcepIMNRlMAJz5+OSnPw2mt+BjQ2tvKG2GJRRCmXE9E6dUoatT4HS7OgTL4EQD7wM7mSf10sGpqxF4a+JUK09LGitBoqTMrmMT0tc5MAGUdR02S1SjYrhohyWUTraS2J1onJmEwTcREjT5jyvjCFyZFn2NHTjkTMQqniYndfRyhjVJTtRIVJ2RwyGX+v0uHD0hV8KXNzMjrdcUS0xsbqO4o/B9U1Js95t1jwxWgxX1p2XZiwLMLIUBfyJQfDe/qCDkdRAkeFSXl+CgUpzbmumBf2719+zeSkNG9lBnbtkvlK69g4u15MluF67odMzl9jqsuYQuTIqyUejSAejSCiNnFFUWFSnpNKRUpzlQrQ1yebYmthlv1JDx7I4wMHpPvDJmP2MZm9SrViVLfGFCJHnqIoK6O/pcqzY+YqFQpiXjhxon6vkusC16+L845I9iit1Y7oOTAZk9mrZMSImauuPCC8GZOiKD4qTMqzMz4uI9Dj8eV7lSoVWU9aWJDjJ05IRrVFmLUjs1dpISvW61LFRbniIB6NoGw7oVxjUhSlHi1oK8/GkydiDScS0akdSWHmKJkJtWfPbqkoAX4mZHs95+YWCwCAdF6ypa52iU8db4oSflSYlI2TzQI3bsj9o0fr5yplMiJK+byU9173uufeo7QejOBUnHphyuSlKWpnSjb5hqmzuKIoK6O/pcqGINv2u4UPDkrHcENtd/DeXsmkNskO/tS4iBCLWqjYLohkjcl2XGQKIkwdnjDpGpOihB/NmJT1w4zk+Lg/VdY48FxXBOnGDRGlPXtk4+w2iZLBZEM93piLxUKlWsprNxlTXIVJUcJOIMJERB8kogkiuuD9e2cQcSgbI/HwIaKLi2J2OHFC9iGVy8DFi7JPybKk48MG5ihtJqac1+sJU6ZQqZby2ry5R5oxKUr4CbKU9x+Y+cMBfn9lI0xPIz41JS1/jNkhkxHnXakkj8fGZMRFQJhxEb0dKQALmMmUMJMR23i7N5NJB/ApSvjRUp7ydCoV6doAoLR3r5gdHj0CLlwQUeruBl7/+kBFCQA628R5NzggcUzM5TExl68719W2QqdzRVFCRZAZ0/uJ6KcAnAfwi8w8v9qF58+f3/AXf5bnBEmY403eu4fY7Czsjg5U+vtx+U/+BPHZWQBAeccOlNrbpftDwETYBgBYtojRxGweE7NyP7e4ILeZ+VC/1mGObSUaKd5GihVorHg3Guvw0g4xS9iyjImIvkxEV1b4924AvwXgCIAzAB4B+MhWxaE8H5F0GrHZWTAR7N5etF+7hrj3uHDgAEr79weynrQS7Un5O8tkRQ9n/YwpHrW8a7SUpyhhZ8syJmZ+63quI6LfAfCFta45d+7cur+vUe6NPCdIQh/vxYvVjg43vL1Lo+fOSRPWbdiftBH2fn4cL96awcjhA8DXxzH+eBFT6SKiEQu7du0CcB/Hhg+F8rUO/ftgCY0UbyPFCjRWvM8aazqdXvN8UK682oZp7wFwJYg4lKfgONK9wYOJUNqzZ9s2zW6UTi9TMlnR7ceLAIADu7qrE2272hIrP1lRlNAQ1BrTbxDRGchct3sAfi6gOJS1iERkjMXUFLBjB/LRKNxkMjSlu6UY0bEsQm9nEvOL0i/vxMGd1aaupjWRoijhJZCMiZn/ITOfZOZTzPxDzPwoiDiUdTA8DLz5zcDIiIhSiDGis5gv4V1/Z6R6/AfeNFwdHGhaEymKEl7ULq40DaaUl8mX8BPfdwIWAe2JKH7gTSOaMSlKA6G98pSmwZTyFvNlvOtNI/j0L343etrjGOzvrA4O1DUmRQk/KkxK02BEx2RHh3b5G341Y1KUxkFLeUrT0O31yFvIFZedS+c0Y1KURkGFSWkaTPNW48YzlCsOsoUyIhZpxqQoDYAKk9I09HWlAPhDAg3z3uPezhQopFZ3RVF8VJiUpqGv0xOmzBJhykoGZYRLUZRwo8KkNA29nX7G5LpcPW6EygiXoijhRoVJaRrisQg6UnG4LmPRs4cDfmlPhUlRGgMVJqWpWGmdqZoxaSlPURoCFSalqVhpncnPmMLdUklRFEGFSWkq+jo1Y1KURkeFSWkqjPjM1mRMsxkZFtjbocKkKI2ACpPSVOwZkDZED574g8geTGUAAHt3dAUSk6IoG0OFSWkqjgz1AgDGH81Xj41PztedUxQl3KgwKU3F4UERnzueGLkuV0XqsAqTojQEKkxKU3FkTx8AP2OaXSyhWLaxo6cNndrAVVEaAhUmpak4uLsHRMD9xwuwHRcPZ8X4YDIpRVHCjwqT0lQk41HsGeiC4zIezxfwcDYHADgy1BdwZIqirBcVJqXpMNnRxFweE3NexjTUE2RIiqJsABUmpekw7ruHs/lqKU8zJkVpHFSYlKbjyB4RpvvTOTyYllKerjEpSuMQDToARdlsvuPYXgDAVy49wkymiFjUwtnh3QFHpSjKetGMSWk63nJyP9qSMUyli3AZeMvJA2oVV5QGQoVJaToS8Sje/Z2j1cc/+j3HAoxGUZSNoqU8pSn50M+9FdfvTWJnVxLv+4HXBx2OoigbQIVJaUr27ezGx/7JmwAA0YgWBhSlkdDfWEVRFCVUEDMHHcOKpNPpcAamKIqibBrd3d209JhmTIqiKEqoUGFSFEVRQkVoS3mKoihKa6IZk6IoihIqmkqYiOgfENFVInKJ6FzN8YNEVCCiC96//xhknIbV4vXO/Wsiuk1EN4jo7wUV40oQ0QeJaKLm9Xxn0DEthYje7r12t4noA0HH8zSI6B4RXfZez/NBx7MUIvp9Ipoiois1x/qI6C+J6JZ3G4qGhKvEGsr3LBHtI6L/TkTXvM+Cf+4dD+tru1q8m/r6NlUpj4iOAXAB/DaAf8HM573jBwF8gZnHgotuOWvEexzApwC8EcAQgC8DGGFmJ6hYayGiDwLIMvOHg45lJYgoAuAmgLcBeAjg2wDey8yvBhrYGhDRPQDnmHkm6FhWgoi+G0AWwH8yv0dE9BsA5pj51z3x72XmXwoyTi+ulWL9IEL4niWiQQCDzPwyEXUCeAnADwP4Rwjna7tavD+GTXx9mypjYuZrzHwj6DjWyxrxvhvAp5m5xMx3AdyGiJSyPt4I4DYzjzNzGcCnIa+p8oww8zcAzC05/G4AH/fufxzyARU4q8QaSpj5ETO/7N1fBHANwB6E97VdLd5NpamE6SkcIqJXiOjrRPSWoIN5CnsAvFbz+CG24D//OXk/EV3yyiahKDPU0Aiv31IYwF8Q0UtE9LNBB7NOdjHzI0A+sADsDDiepxHm96yp7JwF8LdogNd2SbzAJr6+DSdMRPRlIrqywr+1/iJ+BGA/M58F8AsAPklEXSGOd9mGM8gH17bxlLh/C8ARAGcgr+1HtjO2dRD46/cMvJmZXwfgHQD+qVeOUjaPUL9niagDwGcA/DwzZ4KO52msEO+mvr4N1yuPmd/6DM8pASh5918iojsARgBs+SLzs8QL+Qt/X83jvQAmNyei9bHeuInodwB8YYvD2SiBv34bhZknvdspIvocpBz5jWCjeipPiGiQmR95aw9TQQe0Gsz8xNwP23uWiGKQD/lPMPNnvcOhfW1XinezX9+Gy5ieBSLa4S2Ig4gOAxgGMB5sVGvyeQA/QUQJIjoEiffFgGOq4v2iGN4D4Mpq1wbEtwEME9EhIooD+AnIaxpKiKjdW0gGEbUD+H6E7zVdic8D+Gnv/k8D+NMAY1mTsL5niYgA/B6Aa8z872tOhfK1XS3eTX99mblp/nkvyENIdvQEwJ97x38EwFUAFwG8DOAHg451rXi9c78M4A6AGwDeEXSsS+L+zwAuA7gE+QUaDDqmFWJ8J8SZdwfALwcdz1NiPey9Ny9679PQxQtxiT4CUPHes/8YQD+ArwC45d32BR3nGrGG8j0L4LsgZeZLAC54/94Z4td2tXg39fVtKru4oiiK0vi0RClPURRFaRxUmBRFUZRQocKkKIqihAoVJkVRFCVUqDApiqIooUKFSVGeEyJyvI7KV4jovxJR2zN8jd/1mveCiP7NknPf3KxYFaURULu4ojwnRJRl5g7v/icAvMT1myWf+espSiuiGZOibC5/BeAoABDRL9T0GPx571g7EX2RiC56x3/cO/41IjpHRL8OIOVlYJ/wzmW9WyKif+c973LNc7/Xe/6fENF1IvqEt0NfURqShuuVpyhhhYiikCasf0ZErwfwMwC+A9JU9m+J6OuQLg+TzPwu7zndtV+DmT9ARO9n5jMrfIu/D2mSeRrAAIBvE5Hpp3cWwAlIT8C/BvBmAP/fJv+IirItaMakKM9PioguQJoCP4D0EvsuAJ9j5hwzZwF8FsBbIG1b3kpEHyKitzBzegPf57sAfIqZHZammV8H8Abv3IvM/JCZXUibmIOb8pMpSgBoxqQoz09haYazWimNmW962dQ7AfzfRPQXzPx/rPP7rFWeK9Xcd6C/20oDoxmTomwN3wDww0TU5nUMfw+AvyKiIQB5Zv4jAB8G8LoVnlvxRgus9DV/nIgiRLQDwHcjRF3nFWWz0L+qFGULYOaXiegP4QvH7zLzK0T09wD8OyJyId2v/8kKT/8YgEtE9DIz/2TN8c8BeBOkCzkD+FfM/JiIXtiyH0RRAkDt4oqiKEqo0FKeoiiKEipUmBRFUZRQocKkKIqihAoVJkVRFCVUqDApiqIooUKFSVEURQkVKkyKoihKqFBhUhRFUULF/w8vHBQ42tyJyQAAAABJRU5ErkJggg==\n", 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