diff --git a/02_linear_algebra/convolutions.ipynb b/02_linear_algebra/convolutions.ipynb index 9bf7ab1..d167fd4 100644 --- a/02_linear_algebra/convolutions.ipynb +++ b/02_linear_algebra/convolutions.ipynb @@ -39,7 +39,7 @@ "import numpy as np\n", "import scipy as sp\n", "import scipy.linalg as la\n", - "import matplotlib.pyplot as plt" + "import matplotlib.pyplot as plt\n" ] }, { @@ -108,13 +108,13 @@ "output_type": "stream", "text": [ "standard solve\n", - "CPU times: user 2.36 ms, sys: 1.16 ms, total: 3.52 ms\n", - "Wall time: 15.3 ms\n", + "CPU times: user 1.23 ms, sys: 477 µs, total: 1.7 ms\n", + "Wall time: 1.43 ms\n", "\n", "toeplitz solve\n", - "CPU times: user 238 µs, sys: 0 ns, total: 238 µs\n", - "Wall time: 203 µs\n", - "2.5310720385211843e-11\n" + "CPU times: user 160 µs, sys: 32 µs, total: 192 µs\n", + "Wall time: 191 µs\n", + "4.0177068720525153e-13\n" ] } ], @@ -137,7 +137,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -145,13 +145,13 @@ "output_type": "stream", "text": [ "standard solve\n", - "CPU times: user 633 µs, sys: 69 µs, total: 702 µs\n", - "Wall time: 670 µs\n", + "CPU times: user 455 µs, sys: 87 µs, total: 542 µs\n", + "Wall time: 377 µs\n", "\n", "circulant solve\n", - "CPU times: user 184 µs, sys: 0 ns, total: 184 µs\n", - "Wall time: 198 µs\n", - "4.503661378908039e-15\n" + "CPU times: user 706 µs, sys: 271 µs, total: 977 µs\n", + "Wall time: 951 µs\n", + "5.161664861114437e-15\n" ] } ], @@ -202,12 +202,12 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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sWWfhNA2vy45ev0s4wY+pFn6P36nr94gI4aCnWpZBFNa0Mic6J0hAWRWJNkHyxCof/giA2Zqf59TXboKIniKiE0R0IhqNcjn5aiqPXp8LDh1JHgDgsNsw0O0W7gZbWc/D57Kjq8ks21oiIY9wLp2YauH3+PQZFICycSuaS0eLStK7pwYo2baiuVh5YpXg10vXrBvryBj7PGPsCGPsyMDAAJeTr+rMsq1lOOARzqWzrDY+aTbLtpaRkHix+LF0HgGPQ1fWqEY46BVu01az8PWuuIHNTmGili03ilWCPwdgrObnUQALFp0bUZ11dGoZEtCiWF7PNV00bSsiTpCxTFF3xIlGWC0XUBYo12MtXYCNlAqYehlWG8fEM2L2XTCKVYL/DIBPqNE6DwBIMsYWLTq3mmWr/+YCxKzQF93I6w4x1BgOerGRKyFTKHEe1e4lllYqsbZCOORFqcKqocMisJZWkq7sNv0ryOGAmKHSvOAVlvk3AH4A4FYimiOif09EnySiT6qHPAvgCoBpAH8C4Kd5nLcZGGOIbhiz8NdzJWQLYvTSZIwpFn6L12s4qPyeSA9kLF1EbwsbkACq5RhE2idaS+VbcucANaGs62K5DXmhf1euDoyxjzV4nwH4FI9z6SVdKCNXrBjy4QNKaOZkv5/n0HYlmUIZmULZ0AQJKNdr/0AXz6HtWmLpPN4xEmjpdzUBW0xkcfdYiOewdi1rqUJLETqATL4ySsdn2q5u6GttuBXRsm3jahmJ3hb8q8DmBCnKvgdjDHFDFr6arCbI/QW0VlZBY6DbDbuNhAuV5kXHC360xTo6GqItIbUkIj2NKWrZnCDF8Emn8iUUyhX06ozB1wj5nPA4bUKFZq6l8rqzbDXsNsJAl3ih0rzoeME3bOEHxBIwrVBcqwLmcznQ7XEIY+FrE2SrFj4RKX0EBBGwQqmC9Vyp5agmQA2kEOT+4k3HC75RC9/vdqDbLY6AJVTBbyVkTkOk9Hetjk6rEyQgViRYLN1aWYVawjLbtmU6XvBXN/KwtVBWoZYhAR/IVn34gFgWWHXPo0ULHxBzgmx10xZQc2MEuV686XjBj6YK6PW7W4r51RApmSieKYIICHhbt1hFSlbTCoEZmSCH1OQrERrttFo4rZZw0IONfAkbOZl8pZfOF/yN1pOuNEQSsHi6gJDXaXiCXNnIC5E9qln4egun1RIOelCqiNH5atPCN7aCBMSJBONJxwv+qoGyChrDQbcwAhbLFFqO0NEYCiq9R9cEyB6NpYtw2W0tFZrTEKnvwqaFb8wFBogTSMETIQS/1QgdjeFq8+TOv8ESmUJLVR9r0R5IETbWYuk8evzOlgrNaYh0vdbSBTjthICn9QlyM/lKnFBWXnS84MfT+pslb2VYa4QiwAMZSxe5Cb4I+x5GyipoiNScWyurYGSC1DqxifA88qajBb9QqiBdKLdc2EpDJAFTLHxj12tIracjgosils4bCskEFPeGKNmjRsoqaHicdvT5XVgU4P7iTUcLPo+YckAcAWOMIcZhRdTvd8NhIyEssHjGuIVvtxGGBGm0Y6SsQi3DQRma2QodLfhazWyjLgpRBCxbLCNfqhieIG02wmC3W4gV0Voqj16DKyJgMzSz01lLt15WoRYRW0PyoMMFXw2ZM/hAiiJg2gRp1EUBiCFgxbJSJsCohQ8obkMRNiHXUgVDEToawwK2huRBRws+L5cOIIaAxdPaBMlhyS1A9mjcYN2hWoaDHiyvd3YUWFYtvc3DpRMOehHPFJEritGnghcdLfhVlw6PBzLQ+fU7NpOIOEyQgc4XMKOF02oZDniQ6vDsUR5JVxqy81VrdLjg87NYRajfEeNp4QcVAUvlO7fVoSZgXAwKAbJHq0lXHCbIsICdwnjQ0YKfyBThcdrgcdoNf1Y46EG6UO5oC2zTpcNnRQR0tgWmWfg8BEyE7NGqhc8pSgcQp08FLzpa8ONp41mjGuFQ57dW0wqnBQ0UTtMQoVxAzAQLv5MDA3ha+MPSwm8JXk3MHyOit4lomog+U+f99xBRkoheV79+icd5GxHPFLls2AKbzaYXEp1rUcQzBQQ8Tjjsxm+LsACtIWNpPmG/QE0v4A6OPEmoe2ohDhOkz+VA0Ovs6PvLDAw3MSciO4A/BPA+AHMAjhPRM4yx81sO/T5j7INGz6cHHlmjGpqFv5Do3BtMSSLiM0GKYLHG0nkEPA44OUyQHqcdPT5nR1+veKYAh43QbaDQXC3hoKejn0cz4GHhHwUwzRi7whgrAPgygCc4fK5h4hwKgWkMdbtho84u2KS4wPhMkB6nHUGvs7NdOhwnSECx8jvZh6+suI0VmqslHPRIH75OeAj+CIDZmp/n1Ne28iARnSGibxHR1HYfRkRPEdEJIjoRjUYNDSyh3mA8cNhtGAp0tkUR47jnAXR+LL5SR4ff9ep0AUtmC1z2hzSGg96Ovr/MgIfg15uutxaOPwVgnDF2F4DfB/AP230YY+zzjLEjjLEjAwMDLQ+KMYZE1njlx1qUJWTnPpAJDrXwa+n0ZDWlUibHCTLY4RY+h0qstYSDHqymCsiXZPJVs/AQ/DkAYzU/jwJYqD2AMbbOGEup3z8LwElE/RzOvS3ruRLKFcbNwgeASMjb0S6dGMc9DwAYDnR2QTDeFv5QwIPVVB6FUoXbZ+4mEll+QRTA5j7RSocn+PGEh+AfB3CIiCaJyAXgSQDP1B5ARMOkOu6I6Kh63jUO596WBMekK41IyIuFZA6MdV7nq2yhjFyxwtXCDwe9iHaogDHGFIuVs0sHAFY2OnOSTGQKXA0wmXylH8OCzxgrAfgZAN8BcAHAVxhj54jok0T0SfWwnwBwlojOAPg9AE8yk1WTZ1kFjXDQg0Kp0pG9R6t1YThOkKM9XjDWmRvdqXwJhXKFS5kAjU7PXYhzXkFuCn7n3V9mwSU+SnXTPLvltT+q+f4PAPwBj3M1S5xj4TSNiJZ8lcgZbpu42zDjeo30KNdrPp7FeJ+f2+fuBuIcY/A1OjmZKFdUVpB8XTridKLjRcdm2pri0lFvsPkO3LjdLATG0cIP+QAAcx14vWLVSpkcXToB8wTs/MI6KpX2uSKrSVccLfwutwPdbocpE2S5wnAlmuL+ue2mYwV/0wLjuIQMmbeEjG7k8ZevzuCNuQT3z26GGKfeAbUMBz0gUix8XpQrDP/9Wxfw9Om5tgpYte4QR8EPeB3wOG3cXTrfenMRj//e9/Fbz13k+rl64FnIsJbhIP8+Aowx/Jevn8XDv/kCTlyLcf3sdsMn5W0XksgUYCMg4OEnYH1+F1wOG1eL4pXLq/iTF6/gxUurKFcY7tkXwtM//RC3z2+WBMfSyBouhw1D3R6uK6KXp1fxxy9cAQD88QtX8IuP3Yb33DrALZmnWRJZ/gJGRNzLcFcqDL/z/CUAwOdeuIxHDw/h7rEQt89vFjMsfEDJgOe9IvrLV2fw169dBwB88QczODLRy/Xz20nnWviZIoJeJ2w2fkJARIgE+QlYtlDGv//CCZxfXMdT796PJ985htdnE1hLWR9mppVGDnFMjAEUPz5PC/9rp+YQ9Drx2//zXcgWy/h3XziOL706w+3zm0VbQfK+XkosPj8Be/bsIt5e3sCvfPgODHa78X995fW2NA2pNiPy8rXww5wnyJenV/HL3ziPR28fxP/yQxP41tlFRDc6J+yzgwWfb9aoRjjoxSInwX9pehXZYhm/9T/djV987Db86/v3gTHghYvGMoxbIZEpIuBxcCmcVstIyMttglzPFfGdc0v40F1h/Pg9o3juP/wwDg524bvnl7l8vh4SWaWyaICz4I/2+DDHaYKsVBh+9/lLODjYhY8d3Ydf/+iduBxN4ze+8zaXz9eDGVFzgDJBRlN5FMvGQ39nYxn89F+dwoEBP37nyXvwUw+Oo1hm+MqJ2ca/vEfoWMHnWVahFiX5io9F8fz5ZXR7HDg6qSwZ74gE0d/lxvfeWuHy+XqIpQtcNyA1RnqUZLUyB3/7s28sIles4KP3jgJQXEZHJ3tx+nqCy+frIaFWFrVzXEECwFiPD0vrOS5W+DffXMSllRQ+/cgh2G2Ed98ygI8/sA9/9vJVnJm1dq/IDBcYoIRmMgascLDC/+bYdaTyJfzpJ96JLrcDBwa68EMH+vDXr123/P4yi44VfN51YTQiIaVcQMmgRVGpMHzvrWW859bBarVFm43w8G0DePFilIvFood4psA1ZE5jtMeLYplxSSb62qk5HBjw3+CDfudED1L5Et5e2jD8+XpIZIpcN7g19vXxiQQrVxh+93uXcGiwC4+/I1x9/Rceuw0A8M9vW2tUJDJFuB18mhHVUq3KymHj9uXpVdwzFsK+Pl/1tY8/MI75RBb/YvH1MouOFfyESQIWDnpRYcCyQYvi9bkEVlMFPHr74A2vP3zbEDZyJZy4Fjf0+XqJZ0yy8EObsfhGuLaaxvFrcXz0vtEbNmiPjCuro5Mz1kZTxDMFBE24v8Z6FLG5HssY+pyXplcxvZLCz6rWvUbA48Rkvx/nFtYNfb5eeDYjqiUc5NOYKJkp4o35JB46eGPFl/cdHsJgt7st+0Rm0LGCHzfJAotooZkGLbDnzy/DYSO855YbBf9dh/rhtJPlFlg8bY4LbLSHj8X696fmYCPgI/eM3vT5g91unJixdoJMZk2y8HvV3AWDgv/qlTU4bIT33T5003tTkSDOWyz4Sh0d/termqxmsIrtD66sgTHl+avFabfhyaP78C8Xo5iLG/s/2Q10pODnimVki2WuIYYaWratUQF7/sIyjk72IrjlIehyO/DA/j5874K1G5HxTIFrWQUN7XoZ2YisVBi+dmoeDx3srz7gGkSEIxM9bVkR8Y7QAYCBbjfcDpthC//41RjeMRqE13WzC2UqEsB8IluNnLEC3nV0NAIeB3wuu2EL/+XpVfhd9rohq49NDYMx4HWL9z3MoCMF36yYX4BPwaaZtTQuLqfwaB3rCwDee+sgLkfTmFlLt3wOPeSKZWQK5kyQPpcDvX6XoQny/OI65hNZfPjuem0WgPvGezGfyFqaYp9I8638qEFEGOv1GRL8XLGMM3OJajDAVqYiAQCw1MpXVtzmXK9IyIv5hLEJ8uXpVdy/v69u97L9A37YCLi0vPczbztS8M3K6gOAbo8T3R6Hobr4z19Q3DXbCf4jql//nyyK1tmso8N/ggTU0EwDFv5J1V3zwIG+uu8fGe8BAJywyI9fLFewkS+Zdr329fowG2v9ep2+nkCxzHD/NoJ/OKwIvpV+/ATH/tJbmejz4dpq64I/n8jiymoaP7TN/eVx2jHe58f0ihT8XYnZAhYJeg11vnr+/DJuHeq+IRqglvE+P/YP+PGiRfH42orIDJcOYDwW/+RMHMMBT7WR/FYORwLwOu2WuXWSWf6F02oZ6/FiNpZpuQz38WsxECkrn3r0dbkxHPDg3ELSyDCbhjFmmksHACb6/Li2lm651MbL06sAbvbf13JgoAuXVqyNBDODjhR8TcDMeiAjodbrd2QKJRy7FsPDW6JztjIVCWLaouJN2gS5dT+BF1q2basCdnImjvvGe7Ytn+C023DXWLC6EjAbM12GADDW68NGvlQ9j16OXY3htuHAju0EpyIByyz8VL6EUoWZsskNABP9fuRLlZYbwL8yvYr+LhduHere9phDQ124upq2PFyaNx0p+Ga6dAClfkerLp035pIoVxiONqjPMdnnw3w8a0nzELMnyNEeL7LFcrV8gx6WkjnMJ7K4V3XbbMeR8V6cX1xHOl9qdZhNkzChlHQtWqTObAtRIcVyBSdn4jg6sfP1mooEcDmasqTMwuYEac71muxXSm9fW9W/58UYw0vTa3joYP+O9ZgODXahWGaYWdvbkTodKfhmW2CRoAfxTBHZgv6H5fR1Zae/UQGriX4/Ksx4PHYzmC34IwYim05dV6z2+xoI/n0TPShXmCUZpJvXyzwLH2jt//7cwjqyxTKOTtb3R2scjgRRYcBbFiSsVZ9HE6KaAOVZAYCrLQQ5XFxOYTWVvyn+fiuHBhXrf3qPu3U6UvDj6QK8Tjv3rD6NamOPFiIDTl2PY3+/v2FEzIQBq0Uvpm/a9rSefHVyJg63w1bdaNyOe/f1gGwT7x4AACAASURBVAiWxOPHTSoEpmFE8I9dVTqHvnOysYUPwBI/ftyESqy1hAMeuB22lp4VzX/fSPAPDCrP416P1OlMwTcp6UrjwEAXAOjetWeM4fT1BO7e17g87aTaIeqaBaGZiUwBHif/tHcNrRFKKxb+yZk47hoNweXY+VYNep0Y7/Xh7WXzLTBt0zbEuRCYRpfbgT6/q6VInWNXY5js92Owu/4Gt8ZojxcBj8MSP34ia+6KyGYjjPf5cLUFwT85E8dIyFtdhW6Hz+XAaI8Xl/Z4pE5HCr5ZZRU0NMHXO9vPxbNYTeVx776drS9AsYaCXmdLN7FeEibFSGsEvA50uR26k69yxTLOLSQb+u81xnp9hjNUmyGeKcBuI3S7zWsnMdrrw6zOv6VSYTh+Ld5wfwhQ4tcPW7Rxq+15BE1aEQFKpE4rz8rp6/Gm769Dg11S8AGAiB4joreJaJqIPlPnfSKi31Pff4OI7uVx3u2IZwrcy7DW4nc7MBLSP9tr/uh7mrDwAcWtY4WFr/UOMAsiaik08835JIpl1tB/r7HPYMJSsyQyRYS8TlObrrTyt1xc2UAyW9w24WorU5Eg3lpcN1wIsBHV3gEmrron+/2YjemryrqUzGEhmcM9TTaEOTTUjcvR1J6unGlY8InIDuAPAXwAwGEAHyOiw1sO+wCAQ+rXUwA+Z/S8O2FmkofGoaEu3S6d09cT8LnsO4Z/1TJpMKGkWRIm9Q6opZVGKFqY5b1NTpBjvT7EM0Vs5FoLZ2yWRKZoWgirxliPEgmmR4yPq3kI72yyQ9PhcAD5UsX0VWQiW0CX21E3i5UXE/1+FMoVXdFzp1UDrFkL/+BgFwqliu6V126Cx//AUQDTjLErjLECgC8DeGLLMU8A+CJTeBVAiIjCWz+IF0rzE3MfyEODXbpn+9PX47hzNNh0k5GJfj8WklnTQ+cS2aKpKyJAidTRW3zq5Iyywd3X5W7q+Go4o4Es1WYwq7lOLft6fShVmK4SHqdm4hjodmOsd2d/tMbUiDUZt2b1pqhFC83UM3mdnk3A1URAgMahQdWVa7Jb569fu45f/Oobpnw2D8EfAVDbEmZOfU3vMQAAInqKiE4Q0YloVH+mKWMMoz0+jPf6df+uHg4NdiNfqjQtYoo/er0p/73GZL8fjMH02N9EpmCqfxVQ/pb1XKnpdnGMMZyaad6/CvArLdwIzaVjJpuTV/N/y8mZOO7bt32C2lYODHTBRsBlkxP8rJggq7H4Olygp2bieMdIsGFAgMbBwdaCNfRyYiaGl9ToId7wEPx6d9dWs7eZY5QXGfs8Y+wIY+zIwMCA/sEQ4Rs/+y78b+/er/t39XBwSN/G7dn5JEoVhnt0Cj6gz2rRi5L2bm5UE6CUPwCaDwO8tpbBWrrQtP8eqCktbHIZW7ODAoDN0Mxmk69WNnK4HsvgSIOEq1qcdhuGAx6uPYfrYYWFP9jths9lb/pZKZQqeHM+2bT/HlDqaIWDHtNLLJh5vXgI/hyAsZqfRwEstHDMnuKgzuWd3g1boCYW38SN2820d3MFbFPwm3MfHL+qFEI7okPwgz4nAh6H+Ra+SbXwawkHPbDbqOm/5dSMPn+0xkiPF3Oceg5vhxUTJBFhvM/fdCz+hcV15EsV3dfr4KD+vTu9mLki4iH4xwEcIqJJInIBeBLAM1uOeQbAJ9RonQcAJBljixzO3TYCHieGA83P9qevJ7Cv14f+Jv3R2jn6/C5Tk6+0LEizNyEDHifGer1Nl+Q9di2GXr+rOrE2y1gL4Yx6yJeUUtJmW6wOuw2RkAfXm9yPODkTh8thqyZUNYvRSqbNYHZejMZkvw/XmnR/nm7BAAMUV+70SqrlQm3NsKstfMZYCcDPAPgOgAsAvsIYO0dEnySiT6qHPQvgCoBpAH8C4KeNnnc3oGe2P309ofvmAhQr30yXjtllFWqZCgdxfrFJwb8awzsnmvdHa5gdmpk0uS5MLXr+lpMzcdw5EoTboS95bqTHiyUOPZq3o1xhWM+Zv+cBKLH412OZpgqcnbqeQDjoqbZIbJaDg13IFMpY4NBDdzt2u4UPxtizjLFbGGMHGGO/qr72R4yxP1K/Z4yxT6nvv4MxdoLHeduNJviNZvvZWAZL6zldG7YaWulXs9gsNGf+AzkVCeDqahqpBgXOlpKKP7rZ8MJaxnp9mI1nTbPA4ibXaarlwEAXLi1vNBTjXLGMs/PruvY7NEZCPpQrzHCP5u1YzxbBmDUT5ES/H+UKayrB7/RsvCUD7NCQuZE65QozrX0m0KGZtlZxaEiZ7RcblGXdrNexc0Grekz2+7C8nkemYE4VSLPr6NSihQFeaGDlH7um+O/vb1AArB5jvT4UShVEU+YIWMLkSqy13Dfeg0yh3LDA2bmFJApl/f5owFido2aollUwOewXaL5qZnQjj9lYtiUDTIsEM+t6mT1BSsE3gFZB71KD+i0vTa9iKOCulmTQw2YRNXPcFNW6MBYI2OFwEABwbn7nSJ1jV9fQ5Xbg9nBzCWq17DNQeKwZNAvfzMxkDc1iP3Ft505emwlqrVj4rRcCbAazC83VMtHXXFRbq/57QOk57LBRy/0wGrFZaE5a+LuOQ03E5VYqDK9cblxvezsmTC6iVk17t0DAhgJu9PldDSN1jl2N4b7xnqYT1GoZUy3W6yblLiSz5lZ+rGUk5MVwwNOwAujJmTjG+3wY6G4+IEBjVL1ecyYlqyUsXEH2d7nQ5XY0fFZOzsThtBOmIkHd57DbCEMBj6GOdzsRN3mPSAq+AXr8LvR3uXaMxX9raQOxdAEPHdi5/Op2TJgcix/PFNDtdrQkrnpppmBXPF3AxeVU0/VgtjLS4wVRa81DmiFucm33WogI90307NjJizFWTbhqBY/Tjv4uY03md8LKoAAiwoEBf0MX2D+/vYKjk70tV4eNhDyGelrvhNkuQyn4Bjk4uHOvy2brbW9Hl9uBgW63aaGZyWzRtDK/9ZiKBHFpZWPbTl7HVfdFq4LvdtgxHPCY6NIpwGW3wecyp5T0Vo6M92BR7fpVj+uxDFZTBdynI+FqK0Z7Du+ElZvcAPDggX6cmoljfZt6SjNraVxcTuHR24daPkck5NVV8kIPcZOb60jBN8ihwW5cWklt26/1pelVHBzswvA2DbibYdLESB0r0t5rORwJoFhm206Sx67G4HLYcOeo/uW2hlIm2RwBS6qF08yslFmLFqm0nR//mJqg1kqEjkYrhe2aJZEpwEZKHoYVPHL7IEoVhu9frF+a4PkLKwBgSPDDQS8Wk+ZEgpndPlMKvkEODXVhI1fCSp2wtnypjGNXY3hXi9a9xmiv11SfoRUbthpTDTJuj12L4Z6xkO548lrMjMW3ojBfLbcNd8Pnsm/r1vnGG4sYCXlxy6D+DW4NzcJvtcn8TsTSSpatzWbNBHnPWAhBrxPfe2u57vvPn1/GbcPd1dIVrRAJeVAsM6ym+UeCab0WAh5zei1IwTfIO0YUS/SFt28u9Hb6egLZYrlld45GOOjB8nrOlDrcyUzBEn+0xmSfHz6XvW7GbSpfwrmF9ZbdORpjPT4sredMqTJqRentWhx2G+7ZF8KJazcL/vJ6Di9diuIj944YEtSRkBf5UgWrKf1N5hth9QTpsNvwnlsH8MLb0Zuel2SmiGPXYoasewCIqMlaZhhhcZN7LUjBN8jdYyHcMtSFL702c9N7L0+vwkbA/fuNCdhw0ItShWHVhNhyq9LeNWw2wu3hQN0iai9eVB5So4K/r6/1pumNsKJS5lbuG+/FW0vrNyWsPX16HhUGfOTeUUOfP9LTegvKRsTTRfRaENFUy8O3DWItXcCZuRsb2v/LxRWUKwyPHjYm+OGQ4p5dNOX+Kpi63yEF3yBEhJ96YBxvzCVxZvbGG+zl6VXcNRYy7L8MB9QbjPNGUTXt3UKLFVDcOucX1m/wgTLG8Af/NI2JPh8e3K8/4aoWM2PxE1lr9zwAZeO2wjbjxwHlen315ByOjPdUE45apRqLb4IfP25B4bSt/PAtA7AR8M9vrdzw+nPnlzHQ7cadI63vDwE1Fr4JG7fxtLntRqXgc+DD94zA57LjS69uWvkr6zmcmUsa9t8DqG74LnFO9tjM6rPWYn1wfx/ShTK++INr1de+c24Z5xfX8bMPHzIcIqplQ/Lub8sYU/c8rL1e9+wLwUa4wa3zxlwS0yspfPQ+Y9Y9sJlta0ZZ6XimgF6LBT/kc+G+8R5878Km4BdKFbzwdhSP3DZoeD8h5HPC67SbEppp9gQpBZ8D3R4nPnzPCJ45s4BEpoB8qYxPfukknHbCE3dHDH9+OGiOhR+3sExALY/dMYz33DqAX/v2W7gSVWoR/e73LmGy38/leg10u+F22Lhb+LliBYVSxXKLtdvjxK3DAZyY2YzU+erJObgdNvzoncYbxwW9TnR7HNxdOowxxWK12KUDAA/fNoTzi+tYUp+ZY1dj2MiXDPvvAWVVHw55TMm2Nbs3hRR8Tnz8/nHkSxV89eQc/vPTZ3HqegK/+ZN346CB6AmNXr8LLoetevPywuoYaQ0iwq9/9E64HXb83393Bt86u4QLi+v4uUcOckkAIyK1TDLfB9LKukNb+VeH+vHy9Br+1784jrPzSTxzZgHvnxrmFu5oRpnkdKGMQrli6R6RxsO3DQIAvv76PL587Dp+5Zvn4XHaDAdQaESC5kTOxTMFUydIc2J/BORwJID7xnvwG999G7liBZ9+5BAX6wtQLYqgh7uFr5UJsNpiBYChgAf/7YkpfPrLr+P8372O/f1+fOhO49a9RjjowVKDonZ6SZicFLMT//F9tyDodeKPXriMD/7+SwDAxZ2jMdrjbarKpB7iaevKUGzllqEujIS8+O/fegsAsH/Aj1//6J3wckqYCwc9eOGi/hasO5EtlJEvVUxdcUvB58jHH9iH//C3Z/CBO4bx6UcOcf3s4YCHv4Wfbp+AAcCP3RXBt88u4Vtnl/Bzjxj33dcyFPDg0jLfvqBaUozZ/X/r4XHa8an3HsS/ProPn3vhMmZjGS77QxojIS9eu7JzkTa9tMtlCChG0mcfvw2nZhJ44u4I7hwNcg11jIS8iKbyKJQqTffEbYQVpcql4HPkibtG4Hc58K8ODXBPNAkHGxfR0kvc5Ky+RhARfv0n7sTj7wjjR9/BZzWkEQ56EE3lUa4w2Dn9X1TT3i0sRbGVHr8L/+nx27l/7kiPFxv5EpLZIrdKoNr16m3T9frgnRF8kOOqsZZIyAPGlFwII0lctVjxPEofPkdsNsKPTA1zWzbWMhz0Ynk9xzWdO5ktwkZAt7t9837A48SH7opwnyCHAh6UOecuxNTMSqvjyq1gJMS/znvVpdMmg8JMwtXkK37XywqXoRT8PUI4qKRzr6X5ZUNqIWBWpb1bybAJuQuxtHWVH62m2giFo4DFOljwI2ruAs/7a7MWvrTwhWczFp/nDWZ9TLlVmHG9Yuk8Ah4HnBaUkraaURNi8auF0yzOTLaCiJpty7O3rRVRc4buXCLqJaLniOiS+m/dkn1EdI2I3iSi14moI/rZWs1mLD6/GyzZhjIBVmFGslosY32ZAKvo87vgdti4uihi6gqS1x7KbsLnciDodfJ16aTN7w5m1FT5DIDvMcYOAfie+vN2vJcxdjdj7IjBcwqJ5jPkGWpodWlkK+n1ueC0E5bW+fnw4+lCxwo+kdLJiev16uAVJKDWxecYix/PFNHldnCL+qmH0U9+AsBfqN//BYAPG/w8yTb0+RUB4+kztLryo5XY1FZ0yxwnyLUOFnxA2fdY5ukyTFtfVsFKIkEP13o6ZhdOA4wL/hBjbBEA1H8HtzmOAfguEZ0koqd2+kAieoqIThDRiWiUb2LDXkYTMJ4+aStusHYyHOCb/t7JFj6guMF4riC1WvidSphzq0MrVtwN4/GI6HkAw3Xe+s86zvMQY2yBiAYBPEdEbzHGXqx3IGPs8wA+DwBHjhzhXwB+DxMO8rvBCqUK0oVy25KurGA46GnYML1ZGGOIpc1Ne283w0EPls7lwBjjkqSUyBRx52jn3l+RkBfJbBGZQgk+l/HQZitcYA0tfMbYo4yxO+p8fR3AMhGFAUD9d2Wbz1hQ/10B8DSAo/z+BHEYDnq5WWBmt1LbDWgWPo9OTlpdmL4OFvyhgAeFUqUaD24ExhhiJteFaTe8G6EkLLDwjbp0ngHwb9Xv/y2Ar289gIj8RNStfQ/gRwCcNXheIdHq6fAQsHYVTrOS4aAHuWIF69lS44MbEEt1bky5hpa7wMOoyBbLKJhcF6bdaJFzvFbdVjQjMir4vwbgfUR0CcD71J9BRBEielY9ZgjAS0R0BsAxAN9kjH3b4HmFZFi1wOIcLLA1NWu0z+82/Fm7lWpoJgcBi6kror6uzhWw4aByL3C5XmqIYUdv2laTr4wLvlXNiAw5nhhjawAeqfP6AoDH1e+vALjLyHkkCrWx+EY3D9dUi7W/kwUssHm9bh02VqZaK6vQyRbrkHq9eETqaIX5OnkFqV2vpaTxUNak2oxot1v4EgsJqxYFj0idqgXWwT7WqoBxsVgVAevkFdFgN78VkVYmoJPvL5fDhj6/i+v1MnvPQwr+HoJn56u1VB426uxN2yGO9XSqFn4bK2WajcthQ3+Xi8sEaZWAtRslVNq4S8eqIAop+HuI/i437DbiYuGvqjHlnZj2rsFTwGLpIlx2G7raWFnUCnjlenRy4bRalNwF4y4dq3pTSMHfQ9hthKFuN5eCTbFUZycRafATsDx6/E6uTTR2I8OcyivEM0UQgVtt/d3KcJBPNrdVzWKk4O8xhoN8BGwtne9of7QGr9aQsXQRvQJcr6EgHxdFPF1AyOvs6BUkoEyQsXQB+VLZ0OckLAqTloK/xwgHvZx8+IWODjHU4FVPJ5bOt61zk5UMBzyIZ4rIFY0JWCcX5qtFiwRbMbgqimcKcNjIdJehFPw9hmbhG02+Wk3l0d/V+RZrOMhLwMSw8HkKWKdv2ALKiggwHtkUVwsZmu0ylIK/xwgHPcgWy1jPtZ49WihVsJ4rCePDB4yHZq6l8ujt4JhyDV4CFkubnzW6G6hmJxtcdcfTBUuulxT8PcYQhxssLkDWqAaPzlfFsjZBimPhGxV8K+rC7AZ4Cb5VK24p+HsMHp2vtMbeomzaAsYEbDOJSByL1Wi2bazDS0lrBLwOeJw2wxPkaiqPgW4p+JItaBarEReFVlZBBAufy4pIjZEWwcLnIWDZQhn5UqWjk/o0iAhhDlVsoxvSwpfUQUt/NxKpoyXFdHKpX41ujxN+l93Q9VoTIMtWg4jUWHwD95dAKyIAGAq4Da2IsoUy0oUy+rvNfx6l4O8xlOxRtyGLterSESBKBzCeHBMXoI5OLUMGWx3G053fa6EWoxOk9jwOSAtfUo+wwVZ0a+kCnHZCwNPZZQI0jOYuiFBHpxaj95cIhdNqGQp6sLKeR6XSWqj0yoZyf/VLH76kHkbLBayl8uj1mx/zu1sYDhrrbRur1jkRS8BazfUQpY6OxnDAg0K5UnVl6UVa+JIdMVouIJYuCOOeAIBI0IOVjTyK5UpLvx9L5xHwOOC0i/G4VAUs3ZqAaWUCRIjDB4yHZkZVC19G6UjqMhz0IJktIltoLXt0VZCyChrhkBeMbS6d9RLLFIXZ7wCMx+JrE0WnF07TGDIYOadZ+Fa4wKTg70GMPpBK4TRxBF8LZV1ssfdoLJ0XxloFjAtYNKXcXw5BVkRGcz2iG4qL1YoVpBj/Ix2G0eSrWKoglMUaCWq9R1u1WMWoo6MxbLB138q6NUlEu4WBLjds1HqympJla40BZkjwiegniegcEVWI6MgOxz1GRG8T0TQRfcbIOSXGkq+0mF+xXDoGJ0hBKmVqDHS7QdS6xbqykasmvImAw66GSrfs0ilYVsjQqIV/FsBHALy43QFEZAfwhwA+AOAwgI8R0WGD5xWaYQOtDrUkon6BLNaAx4kutwMLCf3XizGGuGAWvlMTsBYnyOX1HIYC4lwvQIsEa92lY9WKyJDgM8YuMMbebnDYUQDTjLErjLECgC8DeMLIeUXH53Ig4HG0FBWglVUQJUZao9XGMal8CYVyRSgLHwAiIW9LE2S5wrCaKghl4QPG+i5YWarcCh/+CIDZmp/n1NfqQkRPEdEJIjoRjUZNH9xeJRz0tiRg1bIKArl0AC2UVb/FKlIdnVpGQ14stLDJvZbOo1xhGBTIhw+o2bYtPI/pfAmZQnn3WPhE9DwRna3z1ayVXi+7Z9uMDsbY5xljRxhjRwYGBpo8hXgMtZgNqYWAidD8pJZI0IsFAy4w8Sx8D+YTWd3JV1rjlEHBLPzhoAfruZLuUGmrn8eGufWMsUcNnmMOwFjNz6MAFgx+pvCEAx5cWFzX/XtraXFdOqupPAqlClyO5he2m2UCBJsgQ17kSxWspfVtKK5sKJOqaC6d2lDpyX5/07+nJV3tiSidJjkO4BARTRKRC8CTAJ6x4LwdjSZgerNH11J5eJw2+Fx2k0a2O4mEPGBMf2RTdc9DkDIBGiMhJZRVr1tnWbPwRXPptNhop1pWYbe4dHaCiH6ciOYAPAjgm0T0HfX1CBE9CwCMsRKAnwHwHQAXAHyFMXbO2LAl4aCnpezRNbWsgih1dDTCLcbiaxPEoGBRJ5GWBV+5XiLF4QOtt9KMqgaFFXV0gCZcOjvBGHsawNN1Xl8A8HjNz88CeNbIuSQ3Uu09msxWrbFmWBOsrIJGpMVY/IVkDr1+FzxOsVZE2j01F9d3vVY2lCQiUeoOaWgW/oLO+yu6kQeRdS5Wsf5XOohqOrfObEjRyipoDLdo4S8mstVrLRIhnxM+l113aObKeg4D3eJdry63AyGfU/cEuZrKo9dnXRkKKfh7lHBAEzB9N9iaYGUVNLrcDnR7HLrr6Swmc1V3kEgQkRqLr9+HL1rSlcZYj0+34FvV2lBDCv4epdp7VIfFyhhTfPgCunSA1kIzFxLZqjtINCIhL+Zb8OEPCWjhA8BYrxdzsYyu37GqebmGFPw9SivNk1P5EgqlipAuHUCpqaNngkznS1jPlYS08AHFj6/HwleybPPCbXBrjKoWvp7OV9EN6wqnAVLw9zR6s/u0EEORmp/UojfbVvP3i+jDB4CRkAdr6QJyxeaSidZSeVSYeElXGmM9XhTKFURTze2rMcYsLasASMHf0+gt2FTNGhXUpRMOerGaKiBfak7AtMlBVMHXQjObdetoMfhDgoVkaoz2+gAAs026ddKFMnLFinTpSJojHFQKNpWaTL6aVyMuIoK6KDThXm4ysmlRu146wl47Cb3JV1qWrcgWPgDMxpsT/M0sWyn4kiaY6POjVGFNh85plsdoj5gCpvnim42VXkhmQSRemQANvclXVQtfYB8+AMzGmrteVmfZAlLw9zQTas2Oa2vppo6fjWXQ3+WC320o327PorcRymIih/4ut67aO53EcNADGwHzTYYaLq/nQCReYT4Nj9OOgW435qSFLzGDiT7Fomha8OOZqhUiIporq9kV0UJSzKQrDafdhqGAp+oKbMTKhpLUJ1qWbS1jPV7dFn5/t4zSkTTBQLcbXqcd11absyhmY1mM9Yor+F6XHSGfs+nIpqVkTmjBB6Ar+WplPYdBQWPwNUZ7fLp8+DayNmpOCv4ehogw3ufDTBMWfqlcwUIiW91YEpXhQPOhmaJm2daiJ/lqeUO81oZbGev1YjHZXCDFaiqPXr8Ldpt1hQyl4O9xJvv9Tbl0FpM5lCoM+wS28AEl8qSZ9Pf1XBGpfEnYLFuNkZAXi8nmkolW1vPCbnBrjPX4UK6wpsKloxvWNS/XkIK/xxnv82M2lkW5wQOpLTNFdukAmxNkIwHTQjJFt/BHQh4Uy6zqb96OUrmiZNkKGoOvoT1fzbh15ttQmE8K/h5nos+Hguqu2Yk5dSNpTOBNWwA4ONiFXLHS0E2hhW6KbuFroZlzDa7XWrogdJathhbyPNdg47ZSYbgSTeHAQJcVw6oiBX+PM96nhGbOrO1sUczGM7DRZmiiqBwcVB6wSysbOx6nbewOi27h9zQXi681/hDdpRMJeWEjNAzNnE9kkS9VsF8KvkQPk03G4s/GMoiEvEKHzAGbgj+9ktrxuMVEFjYSt0yARrPJVyuCtjbcitNuQzjoxWyDfaIrq8rzemCg+f63PBD76e8ABrvd8DhtDSN1rscywrtzACDkc6G/y91Q8BeSSoihVY0pdisBjxPdbkfD5KtlQZuX12Okx9uwns5l9f47MCgtfIkObDbCeK8fVxvE4s/GsxjrFds9oXFosAuXGln4yazw7i+N0V4frjVwGS6v59UsWzEL89XSTCOUy9EUAh6H5aXKjTYx/0kiOkdEFSI6ssNx14joTSJ6nYhOGDmn5GYaxeLnimVEN/LSwlc5ONiF6ZUUGNs+UmcxkRO2yNxWbg934/zi+o7HLCay6O9yC78iApRY/OWN3I5VWa9E0zgw2AUi62LwAeMW/lkAHwHwYhPHvpcxdjdjbNuJQdIak/1+zMQy24YaahtI+/qk4AOK4G/kStVaJlthjGEhma02phadqUgQ0Y18tRpmPc4vruO24W4LR7V7GevxgbGdaxBdbkOEDmBQ8BljFxhjb/MajKQ1xvv8KJQq23a/0mp7iFxHp5ZD1Uid+m6dZLaIXLEifFkFjalIAABwbqG+lV8oVXBxeQN3jAStHNauZbRaJrm+4G/kiljZyGO/xRu2gHU+fAbgu0R0koie2ulAInqKiE4Q0YloNGrR8PY21SJqq/XdOtdjWtKVdFEAjSN1FgSvg7+Vw5rgzyfrvn9xeQPFMsMdESn4wGby1XahmVeiWoTOLrTwieh5Ijpb5+sJHed5iDF2L4APAPgUEb17uwMZY59njB1hjB0ZGBjQcQpxGa+GZta/wWZjGXicNgwIWrZ2KwPdbnR7HNvG4ove6WorAY8T432+bS387nxHrgAACTpJREFUcwvKRKCtBERnKOCBy27D1Wh9A+xyVI3QaYPgNyyMzhh71OhJGGML6r8rRPQ0gKNozu8vaYJwwAOXY/vQzNm4EpJp9QbRboWIcEjduK3HQlJa+FuZigRwdr6+4J+dX0e32yF8nSYNu41w52gQx2fidd+/HE3BbqO2XC/TXTpE5Ceibu17AD8CZbNXwgklNNO3bfKV6GWR66FE6tS/Xm/OJRD0OuWKqIapSBDXYxkks8Wb3ju7kMThSAA2C6s+7nbu39+Ls/NJpPOlm967Ek1jvNfXlsY6RsMyf5yI5gA8COCbRPQd9fUIET2rHjYE4CUiOgPgGIBvMsa+beS8kpsZ7/PXLa/AGMNsLCN8WeStHBzswmoqj0SmcMPrjDG8dGkVD+7vkwJWg+auOb/FrVOuMFxYXJcbtlu4f7IP5QrDyTpW/uVoyvKSChpGo3SeZoyNMsbcjLEhxtj71dcXGGOPq99fYYzdpX5NMcZ+lcfAJTcy0eerWwUymS1iI1+SFv4WDg0qIYRb3TrX1jJYSObw0KH+dgxr1zKlbshq/nqNK9EUcsUK7hiR/vta7h3vgd1GeO3q2g2vlysM11YzODBofYQOIDNtO4a7xkLIFSs4fi12w+taSKYU/Bs5uE1o5kvTqwCAdx2Ugl/LQLcbg93umzZuz6oTgIzQuZEutwN3jARx7OqNz+NcPINCuYID/XvQwpfsHh65fRBepx3feGPhhtffVEPpJvraY1HsVkZCXnictpss/FemVxEJeqqhrpJN7hgJ3mThn51fh8dpa5uLYjdz/2QvzswmkStuZtxWI3SkhS8xgs/lwCO3D+LZN5dQVNurMcbw18dmcOtQN24Zkg9kLTYb4cDAjZE65QrDK5fX8NDBfhnRVIepSADTKylkC5sCdnY+idvDAUvb9O0V7p/sRaFcwanrm358LQZ/v7TwJUb50F0RxNIFvHJZ8RuemUvi7Pw6Pv7guBSwOtwy1I035hJIqZEU5xaSSGaLeJf039dlKhJAhQFvLSlunUqF4fzCunTnbMORiV4Q4Qa3zuVoCr1+F3osLpqmIQW/g3jPrQPo9jjwjTOKW+eLP7gGv8uOH79npL0D26V84sFxJLJF/M5zFwEAL08rE+WDB/raOaxdy+bGrSL412MZbORLcsN2G4JeJ24fDuC1K4rgl8oVnJlNWl4DvxYp+B2E22HH+6eG8Z2zS1hK5vCPbyziI/eOosvdML9OSO7Z14Mn37kP/+OVa7iwuI6Xp1dx61A3Brtlhm09Rnu8CHqdeO1qDIVSpSr8U9LC35b79/fi1PU4csUyfv6rb+D84jo+eu9o28YjBb/D+NBdEWzkS/i5L59GoVTBTz043u4h7Wp+8bFbEfQ68dm/fxPHr8XwQweldb8dRIR33zKAb5xZwJFfeQ6/+dzbcNoJtwzJKpnbcf9kL/KlCj7xZ8fw9Ol5/Pz7b8WTR/e1bTxS8DuMhw70odfvwrGrMdw/2SsfxgaEfC589gO34fXZBPKligzHbMBv/OSd+NNPHMGPTA0jli7g6GRvWzJG9wpHJxUD4ti1GH7mvQfxqfcebOt45Fq/w3DYbXj8HcP40qvXpXXfJD9x3yj+7sQcTs/GcXSyt93D2dW4HXY8engIjx4eQrnCIEMBdqbX78KT7xzDcNCDTz9yqN3DkYLfiTz1rw7A73Lg/VPD7R7KnoCI8If/5l5ciabQ7XG2ezh7BhmK2Ry/9tE72z2EKlLwO5B9fT589vHb2z2MPcVAtxsD3bJYmqSzkc43iUQiEQQp+BKJRCIIUvAlEolEEKTgSyQSiSBIwZdIJBJBkIIvkUgkgiAFXyKRSARBCr5EIpEIAjHGGh/VJogoCmCmxV/vB7DKcThWs9fHD+z9v2Gvjx/Y+3+DHL9+xhljA/Xe2NWCbwQiOsEYO9LucbTKXh8/sPf/hr0+fmDv/w1y/HyRLh2JRCIRBCn4EolEIgidLPifb/cADLLXxw/s/b9hr48f2Pt/gxw/RzrWhy+RSCSSG+lkC18ikUgkNUjBl0gkEkHoOMEnoseI6G0imiaiz7R7PHohoj8nohUiOtvusbQCEY0R0T8T0QUiOkdEn273mPRCRB4iOkZEZ9S/4ZfbPaZWICI7EZ0mon9s91hagYiuEdGbRPQ6EZ1o93j0QkQhIvoqEb2lPg8Ptn1MneTDJyI7gIsA3gdgDsBxAB9jjJ1v68B0QETvBpAC8EXG2B3tHo9eiCgMIMwYO0VE3QBOAvjwHvs/IAB+xliKiJwAXgLwacbYq20emi6I6D8COAIgwBj7YLvHoxciugbgCGNsTyZeEdFfAPg+Y+xPicgFwMcYS7RzTJ1m4R8FMM0Yu8IYKwD4MoAn2jwmXTDGXgQQa/c4WoUxtsgYO6V+vwHgAoCR9o5KH0whpf7oVL/2lGVERKMAfhTAn7Z7LCJCRAEA7wbwZwDAGCu0W+yBzhP8EQCzNT/PYY+JTSdBRBMA7gHwWntHoh/VHfI6gBUAzzHG9trf8DsAfgFApd0DMQAD8F0iOklET7V7MDrZDyAK4H+obrU/JSJ/uwfVaYJPdV7bU5ZZp0BEXQC+BuD/ZIytt3s8emGMlRljdwMYBXCUiPaMe42IPghghTF2st1jMchDjLF7AXwAwKdUd+dewQHgXgCfY4zdAyANoO17ip0m+HMAxmp+HgWw0KaxCIvq9/4agL9ijP19u8djBHUZ/i8AHmvzUPTwEIAfU33gXwbwMBF9qb1D0g9jbEH9dwXA01BctnuFOQBzNSvDr0KZANpKpwn+cQCHiGhS3SR5EsAzbR6TUKgbnn8G4AJj7LfaPZ5WIKIBIgqp33sBPArgrfaOqnkYY59ljI0yxiagPAP/xBj7eJuHpQsi8qub/lBdIT8CYM9ErjHGlgDMEtGt6kuPAGh74IKj3QPgCWOsREQ/A+A7AOwA/pwxdq7Nw9IFEf0NgPcA6CeiOQD/lTH2Z+0dlS4eAvBTAN5UfeAA8J8YY8+2cUx6CQP4CzXqywbgK4yxPRnauIcZAvC0Yj/AAeCvGWPfbu+QdPOzAP5KNT6vAPh3bR5PZ4VlSiQSiWR7Os2lI5FIJJJtkIIvkUgkgiAFXyKRSARBCr5EIpEIghR8iUQiEQQp+BKJRCIIUvAlEolEEP5/B/249pDQftEAAAAASUVORK5CYII=\n", + "image/png": 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\n", 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" ] @@ -236,12 +236,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -275,12 +275,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -312,7 +312,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -330,26 +330,26 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 32 µs, sys: 3 µs, total: 35 µs\n", - "Wall time: 38.1 µs\n", - "CPU times: user 496 µs, sys: 0 ns, total: 496 µs\n", - "Wall time: 452 µs\n" + "CPU times: user 41 µs, sys: 5 µs, total: 46 µs\n", + "Wall time: 49.1 µs\n", + "CPU times: user 201 µs, sys: 99 µs, total: 300 µs\n", + "Wall time: 206 µs\n" ] }, { "data": { "text/plain": [ - "3.7281796402185724e-14" + "3.937442688508142e-14" ] }, - "execution_count": 12, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -369,7 +369,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -387,26 +387,26 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1.04 ms, sys: 5 µs, total: 1.05 ms\n", - "Wall time: 1.15 ms\n", - "CPU times: user 1.17 ms, sys: 11 µs, total: 1.18 ms\n", - "Wall time: 880 µs\n" + "CPU times: user 298 µs, sys: 356 µs, total: 654 µs\n", + "Wall time: 331 µs\n", + "CPU times: user 194 µs, sys: 136 µs, total: 330 µs\n", + "Wall time: 254 µs\n" ] }, { "data": { "text/plain": [ - "3.55434477453188e-15" + "9.821456293386754e-16" ] }, - "execution_count": 14, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -436,11 +436,80 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ - "## Your code here" + "import time\n", + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.4 µs ± 19.9 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "4.52 µs ± 9.48 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "4.5 µs ± 6.2 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "4.57 µs ± 15.6 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "4.56 µs ± 19.9 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "4.92 µs ± 36.8 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "5.11 µs ± 23.5 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "5.37 µs ± 33.9 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "5.89 µs ± 51.6 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "7.31 µs ± 13.5 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "9.95 µs ± 30.8 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "15.6 µs ± 24.7 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n", + "26.8 µs ± 18.2 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n", + "55.2 µs ± 88.9 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n", + "123 µs ± 866 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n", + "245 µs ± 228 ns per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n", + "532 µs ± 1.01 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n", + "1.15 ms ± 1.31 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n", + "2.64 ms ± 2.33 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n", + "5.1 ms ± 12.9 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" + ] + }, + { + "data": { + "image/png": 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vzaJ+anVeveJw/vab3koaZSxhPQ4zSwEeB04CVgDTzSzd3TOjqg0EOgWP/sCTQP+S2ppZm+DYskTFLyIVx9ZdeTz6wSKe/XQJtWumMGZwDy7o35bqGpZKiEQOVfUDstx9MYCZvQwMAaITxxDgRXd34Asza2RmLYB2JbT9G3ATMCGB8YtIknN30mev4p4p81mzeRfnpLXmpgFdaVqvVtihVWqJTBytgOVR+yuI9CpKqtMqVlszGwysdPfZseaQMbNhwDCAtm3b7t07EJGktWD1ZkZOyOCrJRs5pFVDnrrwF/Rp2zjssKqERCaOor7VPc46RZabWR3gNuDkkl7c3ccCYwHS0tIKv66IVFA5O3bz0Pvf8uLn31M/tTr3nHEIvzm0DSnVNBlheUlk4lgBtInabw2sirNOzWLKDwLaA3t6G62BWWbWz91Xl2n0IpJUCgqcN75eyb1vz2fDtlzO79eWG07uQuO6NcMOrcpJZOKYDnQys/bASuBc4PxCddKBEcE5jP5Ajrtnm9m6otq6ewbw44QyZrYUSHP39Ql8HyISsnkrcxg5YR6zlm2iT9tGvHBJPw5u1TDssKqshCUOd88zsxHAVCAFeM7dM8xseHD8KWAKcCqQBWwHLonVNlGxikhy2rQ9lwfeXchLXy6jSZ2a3H9WT87s25pqGpYKlUUuaKrc0tLSfMaMGWGHISJxyi9wXp2xnPveWUDOjt0MPbwdfzipMw1r1wg7tCrFzGa6e1rhct05LiJJ5Zvlmxg5YR5zVuTQr10TxgzpQbcWDcIOS6IUmzjM7F13L/HqJRGRsrBh6y7ue2chr8xYTvP6tXj43N4M7tVSS7cmoVg9jmblFoWIVFl5+QWM/2oZD0xdyPbcfK44pgNXn9CJerU0IJKsYv1lGprZr4s76O5vJCAeEalCZizdyO0TMpifvZkjO+7HmME96Ni8fthhSQliJg7gNIq/SU+JQ0T2ytrNO7n37QW88fVKWjZM5YkL+jLw4AM0LFVBxEocy9z90nKLREQqvd35BYz7bCkPvb+I3LwCRhzfkSuPP4g6NTUsVZHoryUi5eKz79YzOj2Db9ds5bguzRh1eg/aN60bdliyF2Iljtf3bJhZY3f/oRziEZFKJjtnB3dPns+kOdm0aVKbp4emcWK35hqWqsBiJY5fA3cF2x8AfWPUFRH5idy8Ap79dAmPfriI/ALn9yd2YvixB5FaIyXs0GQfxUocVsy2iEhMH3+7jtHpGSxev42Tu+/P7ad1p02TOmGHJWUkVuKobWZ9iCwvmxps/5hA3H1WooMTkYpl+cbt3DU5k6kZa2jftC4vXHIox3VpXnJDqVBiJY7VwF+L2IbI5bi/TFRQIlKx7Nydz9iPF/P4f7KoZsaNp3Th8qPbU6u6hqUqo2ITh7sfV45xiEgF9cH8NYyZmMmyjdsZ1LMFt53ajZaNaocdliRQrLmq7nH3W4Ptk9z9vfILS0SS3fcbtjFmYiYfLlhLx+b1eOny/hzZsWnYYUk5iDVUNQC4Ndj+C6DEISLsyM3niWlZ/P2jxdRIMW47tRsXH9mOGinVwg5NyoluABSRuLg7UzNWc+ek+azctIMz+rTiloFdad4gNezQpJzFShzNzew6IldS7dn+kbv/tehmIlLZfLduK6PTM/hk0Xq6HlCfV684nH7tm4QdloQkVuJ4GqhfxLaIVBFbd+Xx6IeLeO7TJaTWSGH06d258LADqa5hqSot1lVVY8ozEBFJHu7OxDnZ3D05kzWbd3FOWmtuGtCVpvVqhR2aJAGd4xCRn1i4eguj0ufxxeKNHNyqAU9e+Av6tm0cdliSRJQ4RASAzTt389B7ixj3+VLqp1bn7jMO5txD25JSTTMOyU8pcYhUcQUFzptfr+TPby9gw7ZdnNevLTee3IXGdWuGHZokqRITh5ntD9wDtHT3gWbWHTjc3Z9NeHQiklDzVuYwKj2Dmd//QO82jXj+4kM5pHXDsMOSJBdPj+MF4HngtmD/W+AVQIlDpILatD2XB95dyPgvl9G4Tk3uO6snZ/VtTTUNS0kc4kkcTd39VTO7BcDd88wsP8FxiUgCFBQ4r8xYzn3vLCBnx26GHt6OP5zUmYa1a4QdmlQg8SSObWa2H5EZcTGzw4CchEYlImXum+WbGDVhHrNX5NCvXRPGDOlBtxYNwg5LKqB4Esd1QDpwkJn9F2gGnJ3QqESkzGzYuov7py7klRnLaVqvFg/9pjdDerfU0q2y1+JJHBnAsUAXItOPLCSyuJOIJLH8AuelL7/ngakL2Z6bz+VHteeaEzpRP1XDUrJv4kkcn7t7XyIJBAAzm4XWIBdJWjOWbmTkhAwyszdzxEH7MWZwDzrtr1mDpGzEWo/jAKAV/1tCdk+/tgGgxYNFktDaLTu59+0FvDFrJS0apvL4+X059ZADNCwlZSpWj+MU4GKgNT9dNnYL/1unIyYzGwA8DKQAz7j7vYWOW3D8VGA7cPGetcyLa2tmdwJDgAJgbdBmVTzxiFRWu/MLGPfZUh56fxG78vK58riDGPHLjtSpqXt8peyZu8euYHamu79e6ic2SyFyz8dJwApgOnCeu2dG1TkVuJpI4ugPPOzu/WO1NbMG7r45aH8N0N3dh8eKJS0tzWfMmFHatyBSIXz+3QZGpc/j2zVbObZzM0ad3p0OzeqFHZZUAmY2093TCpfH83PkYDPrUbjQ3e8ooV0/IMvdFwcBvEykp5AZVWcI8KJHstcXZtbIzFoA7YpruydpBOoSXCYsUtVk5+zgnikLmDh7Fa0b1+bpoWmc2K25hqUk4eJJHFujtlOB04D5cbRrBSyP2l9BpFdRUp1WJbU1s7uBoUTuJzm+qBc3s2HAMIC2bdvGEa5IxZCbV8Czny7h0Q8XkV/g/P7ETgw/9iBSa6SEHZpUESUmDnd/MHrfzB4gcl9HSYr62VO4d1BcnZht3f024LbgbvYRwKifVXYfC4yFyFBVHPGKJL2Pv13H6PQMFq/fxknd92fkad1p00TXqkj52pszZ3WADnHUWwG0idpvDRQ+iV1cnZpxtAUYD0ymiMQhUpms+GE7d02azzsZq2m3Xx2ev+RQju/SPOywpIqKZ3bcufzv134KkTvHSzq/AZET2p3MrD2wEjgXOL9QnXRgRHAOoz+Q4+7ZZrauuLZm1sndFwXtBwML4ohFpELauTufsR8v5olpWRjGjad04fKj21OruoalJDzx9DhOi9rOA9a4e15JjYLJEEcAU4kknOfcPcPMhgfHnwKmELmiKovI5biXxGobPPW9ZtaFyOW43wMxr6gSqag+mL+GMRMzWbZxO4MOacGtg7rRqlHtsMMSKflyXAAz6wscRaTn8am7f53owMqSLseViuT7Ddu4Y2ImHyxYS8fm9RgzuAdHdmwadlhSBe315bhmNpLIpIZvBEUvmNlr7n5XGccoUqXtyM3nyWlZPPXxYmpUM247tRsXHdGOmtU1NZwkl3iGqs4D+rj7TgAzuxeYBShxiJQBd2dqxmrunDSflZt28KveLbnl1G7s3yA17NBEihRP4lhK5P6NncF+LeC7RAUkUpV8t24ro9Mz+GTReroeUJ9Xhh1G/w77hR2WSEzxJI5dQIaZvUfkHMdJwKdm9giAu1+TwPhEKqVtu/J49MMsnv10Mak1Uhh9encuPOxAqqdoWEqSXzyJ483gsce0xIQiUvm5OxPnZHPP5Pms3ryTs3/RmpsGdKVZ/VphhyYSt3juHB9XHoGIVHYLV29hVPo8vli8kYNbNeCJC/vSt23jsMMSKbV4rqo6DbgTODCob4C7uxYrFonD5p27efj9Rbzw2VLqp1bn7jMO5txD25JSTZMRSsUUz1DVQ8Cvgbkez00fIgJEhqXemLWSP7+9gA3bdnFev7bceHIXGtetGXZoIvsknsSxHJinpCESv03bc7nhtdm8P38tvds04rmL0+jZulHYYYmUiXgSx03AFDP7iMgVVgC4+1+LbyJSdX2zfBNXvTSLtVt2Mur07lx0eDuqaVhKKpF4EsfdRNbkSCUya62IFMHdefHz77lrcibN66fy2vAj6N2mUdhhiZS5eBJHE3c/OeGRiFRgW3bu5uY35jJ5TjYndG3Og+f0olEd/c6SyimexPG+mZ3s7u8mPBqRCmh+9maufGkWyzZu5+aBXRl2dAcNTUmlFk/iuAq4ycxygd1BmS7HFQFenb6c2yfMo2HtGoy/vL+mC5EqIZ4bAOuXRyAiFcmO3HxunzCPf89cwZEd9+Oh3/TR3d9SZcS1dKyZDQaOCXanufukxIUkktyy1m7lqpdm8e3aLVxzQieuPaGTbuaTKiWeO8fvBQ4FXgqKrjWzo9z95oRGJpKE0mev4pbX51CrRgrjLunHMZ2bhR2SSLmLp8dxKtDb3QsAzGwc8DWgxCFVxq68fO6clMk/v1hG2oGNefT8PrRoqGVcpWqKa6gKaARsDLYbJiYUkeS0fON2rnxpFnNX5jDsmA7ceEoXamj6c6nC4kkcfwa+NrP/EJng8BjgloRGJZIk3stcw/WvfgPA2N/+gpN7HBBuQCJJIJ6rqv5lZtOInOcw4I/uvjrRgYmEaXd+AfdPXcjYjxdzSKuGPHFBX9o0qRN2WCJJIZ6T42cAH7p7erDfyMx+5e5vJTo4kTBk5+zg6vFfM+P7H/jtYQdy26BupNZICTsskaQRz1DVKHf/cQVAd99kZqOAtxIWlUhIPv52Hb9/5Rt27s7n4XN7M6R3q7BDEkk68SSOos4CxntSXaRCyC9wHv5gEY9+uIjOzevz+AV96di8XthhiSSleBLADDP7K/A44MDVwMyERiVSjtZt2cXvX/ma/2Zt4My+rbnrVwdTu6aGpkSKE0/iuBq4HXgl2H8X+FPCIhIpR18t2ciI8bPI2bGb+87syTmHtgk7JJGkF89VVdvQzX5SyRQUOGM/Wcz9UxfStkkdxl3aj24tNG+nSDx0rkKqnE3bc7n+1dl8sGAtgw5pwb1nHkL91BphhyVSYShxSJUSvazrmME9GHr4gZhpgkKR0lDikCrB3Rn32VLunjJfy7qK7KMSJ9wxs9Zm9qaZrTOzNWb2upm1jufJzWyAmS00sywz+9l5Eot4JDg+x8z6ltTWzO43swVB/TfNrFGc71WqqC07dzNi/NeMnpjJMZ2aMfmao5Q0RPZBPDO1PQ+kAy2AVsDEoCwmM0shcgnvQKA7cJ6ZdS9UbSDQKXgMA56Mo+17wMHu3hP4Fs2bJTFkrtrM4Mf+yzsZq7l5YFeeHpqmtcBF9lE8iaOZuz/v7nnB4wUgnkUI+gFZ7r7Y3XOBl4EhheoMAV70iC+ARmbWIlZbd3/X3fOC9l8AcfV+pOp5dfpyznjiv2zblcf4y/sz/NiDtBa4SBmIJ3GsN7MLzSwleFwIbIijXStgedT+iqAsnjrxtAW4FHi7qBc3s2FmNsPMZqxbty6OcKWy2JGbzw2vzeam1+eQ1q4xU649WmuBi5SheE6OXwo8BvyNyJ3jnwGXxNGuqJ92HmedEtua2W1AHv9bmfCnld3HAmMB0tLSCr+uVFLRy7pee0InrtGyriJlLp7E0cbdB0cXmNmRwLIS2q0Aom/DbQ2sirNOzVhtzewi4DTgBHdXUhBAy7qKlJd4hqoejbOssOlAJzNrb2Y1gXOJnGSPlg4MDa6uOgzIcffsWG3NbADwR2Cwu2+PIw6p5Hbl5fOnt+Zyzb++pluLBky+5iglDZEEKrbHYWaHA0cAzczsuqhDDYASZ4Bz9zwzGwFMDeo/5+4ZZjY8OP4UMIXImuZZwHaCIbDi2gZP/RhQC3gvuHHrC3cfHv9blspk2YbtXDVey7qKlKdYQ1U1gXpBnfpR5ZuBs+J5cnefQiQ5RJc9FbXtwFXxtg3KO8bz2lL5vZuxmutfm42hZV1FylOxicPdPwI+MrMX3P37coxJJKbd+QXc984Cnv5kiZZ1FQlBPLPjKmlI0ii8rOufTutGrepaO0OkPGmuKqkw9izrumt3Po+c14fBvVqGHZJIlaTEIUmv8LKuT1zYl4OaaVlXkbCUmDjMrDOROaT2d/eDzawnkUth70p4dFLlaVlXkeQTz3WLTxOZSHA3gLvPIXJfhUhCfbl4A4Me+YQZS3/gvjN78uA5vZQ0RJJAPENVddz9q0KL3eQVV1lkXxUUOH//eDEPvKtlXUWSUTyJY72ZHUQwV5SZnQVkJzQqqbK0rKtI8osncVxFZLLArma2ElgCXJjQqKRK0rKuIhVDPPdxLAZONLO6QDV335L4sKQqKbys67+HH0EvrdAnkrTiuaqqETAUaAdU3/ML0N2vSWRgUjVs2bmbm1+fy+S52ZzQtTkPntNLK/SJJLl4hqqmEFlpby5QkNhwpCrJXLWZq8bPYtnG7dw8sCvDju6gFfpEKoB4Ekequ19XcjWR+Lg7r85YzsgJGTSsXYPxl/fXCn0iFUg8ieMfZvZ/wCRg155Cd9+YsKik0tqem8ftb2Xw+qwVHNlxPx4+tw9N69UKOywRKYV4EkcucD9wG/9bvtWBDokKSiqnrLVbufKlmSxau1XLuopUYPEkjuuAju6+PtHBSOU14ZuV3PLGXFK1rKtIhRdP4sggsjqfSKntysvnzkmZ/POLZaQd2JjHzu/LAQ1Tww5LRPZBPIkjH/jGzP7DT89x6HJciUnLuopUTvEkjreCh0jctKyrSOUVz53j48ojEKkctKyrSOVXbOIws1fd/Rwzm8v/rqb6kbv3TGhkUuFk5+xgxPivmallXUUqtVg9jmuD/55WHoFIxaZlXUWqjmLPVLr7nqnTr3T376MfwJXlE54ku/wC56/vLuSi57+iWb1apF99lJKGSCUXzyUuJxVRNrCsA5GKZ92WXQx97kse+TCLM/u25q2rjtRa4CJVQKxzHL8j0rPoYGZzog7VB/6b6MAkuX25eANX/+trcnbs5r4ze3LOoW3CDklEykmscxzjgbeBPwM3R5Vv0TxVVZeWdRWRYhOHu+cAOcB55ReOJLMftuVyw2ta1lWkqovnBkAR3s1Yza1vziNnR66WdRWp4pQ4JKYftuUyemIGE75ZRbcWDRh36aH0aNkw7LBEJERKHFKsqRmrue3NeWzansvvT+zEVcd31FxTIhLX5bh7zcwGmNlCM8sys5uLOG5m9khwfI6Z9S2prZmdbWYZZlZgZmmJjL+q+mFbLtf862uu+MdMmtevRfqIo/j9iZ2VNEQESGCPw8xSgMeJ3AeyAphuZununhlVbSDQKXj0B54E+pfQdh7wa+DviYq9Kntn3mr+9NZccnbs5rqTOvO74w5SwhCRn0jkUFU/IMvdFwOY2cvAECA6cQwBXnR3B74ws0Zm1gJoV1xbd58flCUw9Kpn47ZcRqVnMHH2Knq0bMA/Luuvy2xFpEiJTBytgOVR+yuI9CpKqtMqzrYxmdkwYBhA27ZtS9O0ynlnXjZ/emueehkiEpdEJo6iugSFZ9ktrk48bWNy97HAWIC0tLRSta0qNm7LZeSEeUyak83BrdTLEJH4JDJxrACi56FoDayKs07NONrKPnh7bqSXsXnnbq4/qTPD1csQkTglMnFMBzqZWXtgJXAucH6hOunAiOAcRn8gx92zzWxdHG1lL2zYuotR6Rk/9jJeOrs/XQ9QL0NE4pewxOHueWY2ApgKpADPuXuGmQ0Pjj8FTAFOBbKA7cAlsdoCmNkZwKNAM2CymX3j7qck6n1UJlPmZnN70Mu44eTOXHGsehkiUnoWuaCpcktLS/MZM2aEHUZoNmzdxcj0DCbPyeaQVg154OxedDmgfthhiUiSM7OZ7v6z++V053glF93LuPGULgw7poN6GSKyT5Q4Kqn1W3cxakIGk+dm07N1Q8afdZh6GSJSJpQ4KqHJc7K5fcI8tu7M48ZTunDFMR2orl6GiJQRJY5KZP3WXYycMI8pc1fTs3VD7j9L5zJEpOwpcVQC7s7kudmMnJDB1p153DSgC8OOVi9DRBJDiaOCW791F7e/NY+3562mV+uG3H92Lzrvr16GiCSOEkcF5e5MmpPNyAnz2LYrnz8O6Mr/Hd1evQwRSTgljgpo3ZZIL+OdjNX0atOIB87qSSf1MkSknChxVCDuzsQ52YxSL0NEQqTEUUGolyEiyUKJI8m5O+mzVzEqPYPtufncMrArlx2lXoaIhEeJI4mt3bKT29+ax9SMNfRu04gHzu5Jx+bqZYhIuJQ4kpC789Y3KxkzMfPHXsblR3cgpZqWyxWR8ClxJJnsnB3c+sZc/rNwHb84sDF/ObMnHZvXCzssEZEfKXEkCXfn5enLuWfyfPIKnFGnd2fo4e3UyxCRpKPEkQSWb9zOzW/M4b9ZGzi8w3785cyetN2vTthhiYgUSYkjRAUFzoufL+Uv7ywkpZpxzxmHcF6/NpiplyEiyUuJIySL123lj6/PYfrSHziuSzPuOeMQWjaqHXZYIiIlUuIoZ3n5BTz76RL++t63pNZI4cGze/Hrvq3UyxCRCkOJoxwtXL2Fm/49m9krcjilx/7c+auDaV4/NeywRERKRYmjHOzOL+DJad/x6IeLaJBag8fO78OgQ1qolyEiFZISR4LNW5nDjf+ew/zszQzp3ZJRp/egSd2aYYclIrLXlDgSZOfufB79cBFPfbSY/erW5OmhaZzUff+wwxIR2WdKHAnwnwVrGTMxg6UbtnNOWmtuG9SdhrVrhB2WiEiZUOIoQ8s2bOeOSRm8P38tBzWryz8v689RnZqGHZaISJlS4igDO3LzefKj73jqo++oUc249dSuXHxEe2pW19TnIlL5KHHsA3fn3cw13DExk5WbdjCkd0tuGdiNAxrqElsRqbyUOPbS0vXbGJmewcffrqPL/vV5edhhHNZhv7DDEhFJOCWOUnJ3/vnlMu6ZPJ/q1YyRp3Vn6OEHakU+EakylDhKYc3mndz07zl89O06ju7UlPvP6qVhKRGpchL6M9nMBpjZQjPLMrObizhuZvZIcHyOmfUtqa2ZNTGz98xsUfDfxol8DxDpZbw+cwWnPPQxXy7ZwB1DevDipf2UNESkSkpY4jCzFOBxYCDQHTjPzLoXqjYQ6BQ8hgFPxtH2ZuADd+8EfBDsJ0zGqhwueOZLrn9tNh2a1mXyNUcz9PB2mi5ERKqsRA5V9QOy3H0xgJm9DAwBMqPqDAFedHcHvjCzRmbWAmgXo+0Q4Lig/ThgGvDHRLyBEeNnMWlONo3q1OCuXx3M+f3aUk0r8olIFZfIxNEKWB61vwLoH0edViW03d/dswHcPdvMmhf14mY2jEgvhrZt2+7VG9gzp9RHNx6vO79FRAKJPMdR1E9zj7NOPG1jcvex7p7m7mnNmjUrTdMf3THkYJbeO0hJQ0QkSiITxwqgTdR+a2BVnHVitV0TDGcR/HdtGcYsIiIlSGTimA50MrP2ZlYTOBdIL1QnHRgaXF11GJATDEPFapsOXBRsXwRMSOB7EBGRQhJ2jsPd88xsBDAVSAGec/cMMxseHH8KmAKcCmQB24FLYrUNnvpe4FUzuwxYBpydqPcgIiI/Z5ELmiq3tLQ0nzFjRthhiIhUKGY2093TCpdrngwRESkVJQ4RESkVJQ4RESkVJQ4RESmVKnFy3MzWAd/vZfOmwPoyDCfRFG9iKd7Eq2gxV+Z4D3T3n91BXSUSx74wsxlFXVWQrBRvYinexKtoMVfFeDVUJSIipaLEISIipaLEUbKxYQdQSoo3sRRv4lW0mKtcvDrHISIipaIeh4iIlIoSh4iIlIoSRwxmNsDMFppZlpkldG3zfWVmz5nZWjObF3Ys8TCzNmb2HzObb2YZZnZt2DHFYmapZvaVmc0O4h0TdkzxMLMUM/vazCaFHUtJzGypmc01s2/MLOlnJQ2Wuv63mS0I/h0fHnZMxTGzLsHnuuex2cx+v9fPp3McRTOzFOBb4CQiC0tNB85z98yYDUNiZscAW4ms4X5w2PGUJFiEq4W7zzKz+sBM4FdJ/PkaUNfdt5pZDeBT4Fp3/yLk0GIys+uANKCBu58WdjyxmNlSIM3dK8TNdGY2DvjE3Z8J1g2q4+6bQg6rRMF320qgv7vv1Y3R6nEUrx+Q5e6L3T0XeBkYEnJMxXL3j4GNYccRL3fPdvdZwfYWYD6RteaTkkdsDXZrBI+k/tVlZq2BQcAzYcdS2ZhZA+AY4FkAd8+tCEkjcALw3d4mDVDiiKUVsDxqfwVJ/MVWkZlZO6AP8GXIocQUDPt8Q2S54vfcPanjBR4CbgIKQo4jXg68a2YzzWxY2MGUoAOwDng+GAp8xszqhh1UnM4F/rUvT6DEUTwroiypf2FWRGZWD3gd+L27bw47nljcPd/dewOtgX5mlrRDgmZ2GrDW3WeGHUspHOnufYGBwFXB8Guyqg70BZ509z7ANiCpz4MCBENqg4HX9uV5lDiKtwJoE7XfGlgVUiyVUnCu4HXgJXd/I+x44hUMSUwDBoQbSUxHAoOD8wYvA780s3+GG1Js7r4q+O9a4E0iw8XJagWwIqrX+W8iiSTZDQRmufuafXkSJY7iTQc6mVn7IEufC6SHHFOlEZxsfhaY7+5/DTuekphZMzNrFGzXBk4EFoQaVAzufou7t3b3dkT+7X7o7heGHFaxzKxucJEEwZDPyUDSXiHo7quB5WbWJSg6AUjKCzsKOY99HKaCSHdLiuDueWY2ApgKpADPuXtGyGEVy8z+BRwHNDWzFcAod3823KhiOhL4LTA3OG8AcKu7TwkvpJhaAOOCK1KqAa+6e9Jf4lqB7A+8Gfk9QXVgvLu/E25IJboaeCn4YbkYuCTkeGIyszpErhK9Yp+fS5fjiohIaWioSkRESkWJQ0RESkWJQ0RESkWJQ0RESkWJQ0SkkintpKdmdo6ZZQYTeI4vqb4Sh0gpmJmb2YNR+zeY2ehg28zsuOBhQdloM7thH16vj5k9E2xfbGYFZtYz6vi8YMoWzOx9M2u8t68llcoLxHmDqpl1Am4hcud+D+D3JbVR4hApnV3Ar82saXRhcFPgC8DBweOFoGxf3Qo8GrW/AritmLr/AK4sg9eUCq6oSU/N7CAzeyeYC+wTM+saHPo/4HF3/yFou7ak51fiECmdPCJrNv8hutDddwC/I3IT2CXA74KyH5lZbzP7wszmmNmbe3oHZnZoUPa5md2/Z3ghuJO6p7vPjnqaSUCPqDuWo6UTuTNYpChjgavd/RfADcATQXlnoLOZ/Tf491liT0WJQ6T0HgcuMLOGewqC3sXjwPPB4/EiehwvAn90957AXGBUUP48MNzdDwfyo+qn8fNpNwqA+4j0RH4i+MVYy8z229s3JpVTMJnoEcBrwUwNfycyGwJE7tTvRGTmifOAZ/ZMr1McJQ6RUgpm8X0RuCaqbAdwKZEv+nnApdE9jiDJNHL3j4KiccAxwf+g9d39s6A8+sRkCyJTdxc2HjjMzNoXcWwt0HJv3pdUatWATe7eO+rRLTi2Apjg7rvdfQmwkEgiiflkIlJ6DwGXAT+uwRAs9jQteMQ7l09R0/fvsQNILVzo7nnAg8Afi2iTGrQT+VHwY2eJmZ0NP17I0Ss4/BZwfFDelMjQ1eJYz6fEIbIX3H0j8CqR5BFP/RzgBzM7Oij6LfBRMLy0xcwOC8rPjWo2H+hYzFO+QGSG3mZ7CoIruQ4Alsb3LqSyCiY9/RzoYmYrzOwy4ALgMjObDWTwvxVNpwIbzCwT+A9wo7tviPX8mh1XZO89CIwoRf2LgKeCWUqjZ1O9DHjazLYRWecjB8DdF5hZQzOrHyyv+yN3zzWzR4CHo4p/AXwR9EikCnP34i6S+NmJ76B3fF3wiItmxxUJmZnV27OeuZndDLRw92uD/T8AW9y9xHXDzexhIN3dP0howFLlaahKJHyDzOyb4DLco4G7oo49SeTekXjMU9KQ8qAeh4iIlIp6HCIiUipKHCIiUipKHCIiUipKHCIiUipKHCIiUir/D8KEzziTsSDJAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "L=[2**i for i in range(0,20)]\n", + "N=[i*math.log(i) for i in L]\n", + "T=[]\n", + "np.random.seed(100)\n", + "for i in L:\n", + " c = np.random.randn(i)\n", + " t = %timeit -o k = fft(c)\n", + " T.append(t.best)\n", + " \n", + "plt.plot(N,T)\n", + "plt.xlabel(\"N*log(N)\")\n", + "plt.ylabel(\"time to compute FFT\")\n", + "plt.title(\"Asymptotic scaling of the FFT\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the plot we can see a desired linear trend." ] }, { @@ -459,7 +528,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -496,12 +565,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -522,7 +591,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -550,13 +619,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 88.6 ms, sys: 0 ns, total: 88.6 ms\n", - "Wall time: 89.4 ms\n" + "CPU times: user 276 ms, sys: 11.9 ms, total: 288 ms\n", + "Wall time: 314 ms\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -586,7 +655,19 @@ "cell_type": "code", "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'torch'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/n4/vv8pnt1n37ndd_0v172kn27c0000gn/T/ipykernel_4488/2830313566.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mconv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mConv2d\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# 3 x 3 convolution\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'torch'" + ] + } + ], "source": [ "import torch\n", "\n", @@ -595,7 +676,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -605,40 +686,18 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 42.4 ms, sys: 13.7 ms, total: 56.2 ms\n", - "Wall time: 14.8 ms\n" - ] - } - ], + "outputs": [], "source": [ "%time imgt2 = torch.conv2d(imgt, c)" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "img2 = imgt2.numpy()\n", "img2 = img2[0,0,:,:]\n", @@ -660,22 +719,9 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "from scipy.fft import dct, idct\n", "\n", @@ -694,22 +740,9 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "x = np.linspace(0, 2*np.pi, 100, endpoint=False)\n", "f = np.cos(4*x) + np.cos(8*x)\n", @@ -733,7 +766,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -744,22 +777,9 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "ihat = dctn(img)\n", "plt.imshow(np.log(np.abs(ihat)))\n", @@ -799,22 +806,9 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "m, n = ihat.shape\n", "ihat2 = ihat[:m//2, :n//2]\n", @@ -832,22 +826,9 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "ihat2 = np.zeros_like(ihat)\n", "ihat2[:m//2, :n//2] = ihat[:m//2, :n//2]\n", @@ -865,22 +846,9 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "ihat2 = np.zeros_like(ihat)\n", "ihat2[:m//10, :n//10] = ihat[:m//10, :n//10]\n", @@ -913,7 +881,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.8.11" } }, "nbformat": 4, diff --git a/04_functions/ode_initial.ipynb b/04_functions/ode_initial.ipynb index 2cc8fc7..8a63112 100644 --- a/04_functions/ode_initial.ipynb +++ b/04_functions/ode_initial.ipynb @@ -60,7 +60,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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RQmH06NHcf//9tG3blldeeaXQPpx2NAoFEYl7EydOJDk5maSkJMaMGUOxYrqcejgKBRGJa2lpabRv357ExEQmTZpEqVKlwi4pX1MoiEjcmjt3Lm3atKFOnTqkpKRQtmzZsEvK9xQKIhKXlixZQsuWLalevTpTp06lYsWKYZdUICgURCTurFixgiuvvJJy5cqRlpZG1apVwy6pwFAoiEhcWbt2Lc2aNaNo0aKkpaVx6qmnhl1SgRKzUDCzmmY2w8xWmNlyM7s/aO9jZt+Y2dLg0zJqnV5mttrMVpnZVbGqTUTi07p160hKSmL37t2kpqZSu3btsEsqcGJ5X9Z+4EF3X2xmZYFFZpYazHve3Z+LXtjM6gIdgHrAKUCamf3W3Q/EsEYRiRNff/01TZo0YefOnUybNo1zzz037JIKpJidKbj7ZndfHHzfBawAqh9hlTbAW+6+193XAquBhrGqT0Tix/r162nSpAk7duwgLS2NCy64IOySCqw8uaZgZrWA84EFQdN9ZvaZmQ0zs4NvtKgObIhabSPZhIiZdTWzhWa2MCMjI5Zli0gBsHHjRpo0acJ3333H1KlTNQT2rxTzUDCzMsA7wAPuvhN4FTgTqA9sBgYeXDSb1f0XDe5D3D3R3ROrVKkSm6JFpED45ptvaNKkCdu2bWPq1Kk0aNAg7JIKvJiGgpkVJxIIo919AoC7b3H3A+6eCfyT/3YRbQRqRq1eA9gUy/pEpODatGkTTZo0YcuWLXz44Yc0bKje5twQy7uPDBgKrHD3v0W1V4tarB2wLPg+CehgZiXN7HSgNpAeq/pEpODavHkzV1xxBZs3b2bKlCk0atQo7JLiRizvPmoM/B/wuZktDdoeBW42s/pEuobWAXcBuPtyMxsLfEHkzqV7deeRiBxq06ZNNG3alI0bN/Lhhx9yySWXhF1SXIlZKLj7HLK/TpByhHX6Af1iVZOIFGxff/01TZs2ZcuWLXzwwQc0btw47JLijsaPFZECYfXq1TRt2pSdO3eSlpbGRRddFHZJcUmhICL53ooVK2jatCn79u1j+vTpnH/++WGXFLc09pGI5Guffvopl19+Oe7OzJkzFQgxplAQkXwrPT2dpKQkSpUqxezZs6lXr17YJcU9hYKI5EsfffQRzZo1o2LFisyePVuD2+WRHIWCmZ1pZiWD70lm1t3Myse0MhEptFJTU7nqqquoXr06s2fPplatWmGXVGjk9EzhHeCAmZ1F5IG004E3Y1aViBRa48aN45prruGss85i1qxZVK9+pHE0JbflNBQy3X0/kSeQX3D3PwLVjrKOiMgxefXVV7npppto0KABs2bN4uSTTw67pEInp6Gwz8xuBpKByUFb8diUJCKFjbvzl7/8hXvuuYdWrVoxdepUKlSocPQVJdflNBRuAy4G+rn72mBsolGxK0tECosDBw7QrVs3nnjiCZKTk5kwYQInnHBC2GUVWjl6eM3dvwC6R02vBZ6JVVEiUjjs3buXTp06MXbsWB566CEGDBhAZCxNCUuOQsHMagNPA3WBUgfb3f2MGNUlInFu165dXHfddaSlpTFgwAAefvjhsEsScj7MxXDgCeB5oAmR7iTFuYgcl4yMDFq1asXixYsZNmwYt912W9glSSCn1xRKu/s0wNz9a3fvA1wRu7JEJF59+eWXXHzxxXz++edMmDBBgZDP5PRMYY+ZFQH+bWb3Ad8AuldMRI7JnDlzaNOmDUWKFGHGjBl6OU4+lNMzhQeAE4hcbL4QuJXI7akiIjny9ttv06xZMypVqsT8+fMVCPnUUUPBzIoC7d39B3ff6O63ufv17j4/D+oTkQLO3Xn22Wfp0KEDDRo0YN68eZx55plhlyWHcdRQCF6JeaHpPjEROUb79+/nD3/4Az179qRDhw6kpqZSqVKlsMuSI8jpNYUlwEQzGwf8eLDR3SfEpCoRKfB27dpF+/btmTJlCr169aJv374UKaKBmfO7nIZCRWA7/3vHkQMKBRH5hQ0bNtC6dWs+//xzhgwZwp133hl2SZJDOX2iWfeMiUiOzJs3j3bt2rF7924mT55MixYtwi5JjkFO36dwhpm9b2YZZrbVzCYG4x+JiGR5/fXXSUpKokyZMsybN0+BUADltIPvTWAskeGyTwHGAW8daQUzq2lmM8xshZktN7P7g/aKZpZqZv8OflaIWqeXma02s1VmdtXxHZKI5LUDBw7wyCOPkJyczKWXXsqCBQuoW7du2GXJcchpKJi7v+Hu+4PPKCLXFI5kP/Cgu58DNALuNbO6QE9gmrvXBqYF0wTzOgD1gBbAK8HtsCKSj+3cuZM2bdrw17/+lXvuuYcpU6boDqMC7IihEPxffUVghpn1NLNaZnaamT0C/OtI67r7ZndfHHzfBawAqgNtgJHBYiOBtsH3NsBb7r43GIV1NdDwOI9LRPLAmjVruPjii5kyZQovv/wyL7/8MsWL61UrBdnRLjQvInJGcPAZhbui5jnwVE52Yma1gPOBBUBVd98MkeAws4PDZVQHoh+I2xi0HbqtrkBXgFNPPTUnuxeRGJgxYwY33HAD7s7UqVO54goNhxYPjnim4O6nu/sZwc9DPzkaNtvMyhB5x/MD7r7zSItmV0I2NQ1x90R3T6xSpUpOShCRXOTuDBw4kObNm1O1alXS09MVCHEkp3cfnWBmvc1sSDBd28yuycF6xYkEwuioB922mFm1YH41YGvQvhGoGbV6DWBTzg5DRPLCDz/8QIcOHXjooYdo27YtCxYs4Kyzzgq7LMlFOb3QPBz4GbgkmN4I9D3SCsGwGEOBFe7+t6hZk/jvYHrJwMSo9g5mVjK43bU2kJ7D+kQkxlatWsVFF13E+PHjefbZZxk3bhxly5YNuyzJZTl9ovlMd7/JzG4GcPfdORgLqTHwf8DnZrY0aHuUyGs8x5pZF2A9cGOwzeVmNhb4gsidS/cG4y6JSMjee+89OnXqRMmSJZk6dSpNmzYNuySJkZyGws9mVpqgj9/MzgT2HmkFd5/D4d/Olu3fKHfvB/TLYU0iEmMHDhzg8ccfp3///iQmJvLOO+/oBo84l9NQeAKYAtQ0s9FEzgI6x6ooEQnftm3buOWWW5g6dSp33HEHgwYNolSpUkdfUQq0nIZCT2AIsIPI//0/QOT/6GfGoigRCdecOXPo0KEDGRkZ/POf/+SOO+4IuyTJIzm90Hw6kWcDEt19srtnAImxK0tEwpCZmckzzzxDUlISpUuXZv78+QqEQianobCDyHWAqsHAeOViV5KIhCEjI4NWrVrRq1cvbrjhBhYtWsT5558fdlmSx3LafWTuvh+4x8w6A3OACkdeRUQKitmzZ3PzzTezfft2Bg8eTNeuXdHLFgunnJ4pDD74xd1HELnIPDUG9YhIHsrMzKRfv340adKEMmXKsGDBAu666y4FQiGW05fs/OOQ6UXA7TGpSETyxObNm0lOTiY1NZWOHTsyePBgPYwmOT5TEJE4MnHiRM4991zmzJnDkCFDGDVqlAJBAIWCSKHy448/cvfdd9O2bVtOO+00Fi9ezJ133qnuIsmiUBApJBYtWsQFF1zAkCFD+NOf/sS8efOoU6dO2GVJPqNQEIlzBw4c4Nlnn6VRo0b8+OOPTJs2jWeeeYYSJUqEXZrkQzm9JVVECqANGzbQqVMnZs6cyQ033MA//vEPKlasGHZZko/pTEEkDrk7I0aMICEhgU8++YThw4czduxYBYIclUJBJM5s3ryZ1q1bc9ttt1G/fn0+/fRTOnfurIvJkiMKBZE44e6MGTOGhIQE0tLSeP7555kxYwZnnnlm2KVJAaJQEIkDGRkZ3HjjjXTs2JHf/va3LF26lAceeIAiRfRPXI6N/saIFHATJkygXr16vP/++zzzzDPMmTOHs88+O+yypIDS3UciBdSWLVvo1q0b48aN44ILLmD69OkkJCSEXZYUcDpTEClg3J3hw4dzzjnnMHHiRPr27cv8+fMVCJIrdKYgUoCsWbOGrl27Mm3aNH7/+98zZMgQPZUsuUpnCiIFwP79+xk4cCAJCQmkp6fz6quvMnPmTAWC5DqdKYjkc59++il33HEHCxcu5Nprr+WVV16hRo0aYZclcSpmZwpmNszMtprZsqi2Pmb2jZktDT4to+b1MrPVZrbKzK6KVV0iBcWuXbt48MEHufDCC1m/fj1vv/02EydOVCBITMWy+2gE0CKb9ufdvX7wSQEws7pAB6BesM4rZlY0hrWJ5Fvuzrhx46hTpw7PP/88d9xxBytWrKB9+/Z6KlliLmah4O6zge9yuHgb4C133+vua4HVQMNY1SaSX61evZqrr76a9u3bc/LJJzN37lwGDx6sMYskz4Rxofk+M/ss6F6qELRVBzZELbMxaPsFM+tqZgvNbGFGRkasaxXJE3v27KFPnz4kJCQwb948XnrpJT755BMaNWoUdmlSyOR1KLwKnAnUBzYDA4P27M6JPbsNuPsQd09098QqVarEpEiRvPTBBx+QkJDAk08+yXXXXcfKlSvp1q0bxYrpPhDJe3kaCu6+xd0PuHsm8E/+20W0EagZtWgNYFNe1iaS17788ktatWpFy5YtKVq0KGlpabz55ptUq1Yt7NKkEMvTUDCz6L/t7YCDdyZNAjqYWUkzOx2oDaTnZW0ieeU///kPDz30EAkJCcyZM4fnnnuOzz//nKZNm4ZdmkjsnlMwszFAElDZzDYCTwBJZlafSNfQOuAuAHdfbmZjgS+A/cC97n4gVrWJhCEzM5MRI0bQq1cvMjIyuP322+nXrx9Vq1YNuzSRLDELBXe/OZvmoUdYvh/QL1b1iIRp7ty5dO/enUWLFnHJJZfwr3/9i8TExLDLEvkFDXMhEkNfffUVN910E40bN+bbb79l9OjRzJkzR4Eg+ZZCQSQGtm3bxgMPPMA555zD5MmTefzxx1m5ciUdO3bUA2iSr+meN5FctHv3bl566SWefvppdu3aRZcuXXjyySd1R5EUGAoFkVyQmZnJ6NGjeeyxx9iwYQPXXHMNzzzzDPXq1Qu7NJFjou4jkV8pLS2NCy+8kE6dOnHyySczffp03n//fQWCFEgKBZHjtGDBApo3b07z5s35/vvvGT16NOnp6TRp0iTs0kSOm0JB5BgtXbqU1q1b06hRI5YuXcrAgQOzLiIXKaJ/UlKw6ZqCSA6tXLmSJ554grFjx1K+fHn69etH9+7dKVOmTNilieQahYLIUaxZs4Ynn3ySUaNGccIJJ9C7d28efPBBypcvH3ZpIrlOoSByGBs2bKBfv34MHTqUYsWK0aNHDx555BE0Oq/EM4WCyCHWrl3L008/zYgRIwC46667ePTRRznllFPCLUwkDygURAJffvkl/fv3Z9SoURQtWpQ777yTRx55hNNOOy3s0kTyjEJBCr1ly5bRv39/3n77bUqWLEm3bt14+OGHdWYghZJCQQqtJUuW0LdvXyZMmECZMmV4+OGH6dGjByeffHLYpYmERqEghYq7M3v2bAYMGEBKSgrlypXjz3/+M/fffz+VKlUKuzyR0CkUpFA4cOAA7777LgMGDOCTTz6hSpUqPPXUU9x33326tVQkikJB4tru3bsZMWIEAwcO5KuvvuKss87i1VdfJTk5mdKlS4ddnki+o1CQuLRt2zZefvll/v73v7Nt2zYaNmzIs88+S9u2bSlatGjY5YnkWwoFiSurVq1i0KBBDBs2jN27d3PNNdfw8MMP8/vf/14vtxHJAYWCFHiZmZlMnTqVF198kSlTplCiRAk6duzIww8/TN26dcMuT6RAUShIgfXDDz8wcuRIBg0axKpVq/jNb37Dk08+yV133UXVqlXDLk+kQFIoSIGzZs0a/v73vzN06FB27txJgwYNGDVqFDfeeCMlSpQIuzyRAi1mg7+b2TAz22pmy6LaKppZqpn9O/hZIWpeLzNbbWarzOyqWNUlBVNmZiZTpkyhTZs2nHXWWQwaNIhWrVoxf/580tPTueWWWxQIIrkglm8EGQG0OKStJzDN3WsD04JpzKwu0AGoF6zzipnpFhFh69atPPvss5x11llcffXVzJs3j8cee4x169bx5ptvctFFF4VdokhciVn3kbvPNrNahzS3AZKC7yOBmcCfgva33H0vsNbMVgMNgXmxqk/yr4NPHQ8ePJh33nmHffv2kZSUxNNPP027du10RiASQ3l9TaGqu28GcPfNZnZwkJnqwPyo5TYGbb9gZl2BrgCnnnpqDEuVvPb999/z+uuvM3jwYFauXEn58uW59957ueuuu6hTp07Y5YkUCvnlQnN2N5B7dgu6+xBgCEBiYmK2y0jBkZmZyaxZsxg2bBjjx49nz549NGrUiBEjRtC+fXs9dSySx/I6FLaYWbXgLKEasDVo3wjUjFquBrApj2uTPLRhwwZGjBjB8OHDWbt2LeXKlaNz58507dqV888/P+zyRAqtvA6FSUAy8Ezwc2JU+5tm9jfgFKA2kJ7HtUmM7d27l4kTJzJs2DCmTp2Ku9O0aVP69u1Lu3btdFYgkg/ELBTMbAyRi8qVzWwj8ASRMBhrZl2A9cCNAO6+3MzGAl8A+4F73f1ArGqTvOPuLF68mJEjRzJ69Gi+++47atasyZ///Gc6d+7M6aefHnaJIhIllncf3XyYWU0Ps3w/oF+s6pG8tXbtWkaPHs3o0aNZuXIlJUuWpF27dtx+++1cccUVGpROJJ/KLxeaJQ5s376dcePGMWrUKD7++GMALrvsMnr06MENN9xAhQoVjrIFEQmbQkF+ld27dzN58mRGjx5NSkoK+/bto27duvTv35+OHTvqpfciBYxCQY7Zvn37mDFjBm+//Tbjx49n586dVKtWje7du3Prrbfyu9/9TsNUixRQCgXJkf379zNjxgzGjh3LhAkT+O677yhTpgzXX389t956K02aNNF1ApE4oFCQw9q/fz8zZ87MCoLt27dTpkwZWrduTfv27bnqqqsoVapU2GWKSC5SKMj/2L9/P7NmzcoKgm3btlGmTBmuvfbarCDQ8wQi8UuhIPz000+kpqby3nvvMXnyZLZt28aJJ55I69atufHGG2nRooWCQKSQUCgUUtu3b2fy5Mm89957fPjhh+zevZvy5cvTqlUrrrvuOq6++moFgUghpFAoRNauXcvEiRN57733+Oijj8jMzKRGjRp06dKFtm3bctlll1G8ePGwyxSRECkU4tiBAwdIT08nJSWF999/n08//RSAhIQEHn30Udq2bcsFF1yg20dFJItCIc5s376dDz/8kJSUFKZMmcL27dspUqQIjRs3ZuDAgbRp04Yzzzwz7DJFJJ9SKBRw7s7SpUtJSUkhJSWF+fPnk5mZSeXKlWnZsiUtW7bkyiuvpGLFimGXKiIFgEKhANq+fTvTpk1j6tSppKSksHnzZgASExPp3bs3LVu2JDExUQ+TicgxUygUAHv37uXjjz8mNTWV1NRUFi9ejLtTrlw5rrzySlq2bMnVV19N1apVwy5VRAo4hUI+5O58/vnnWSEwe/Zsdu/eTbFixWjUqBF9+vShefPmNGjQgGLF9EcoIrlHv1HyiQ0bNjB9+nRSU1NJS0tjy5YtANSpU4c77riD5s2bk5SURNmyZUOuVETimUIhJOvXr2fmzJnMnDmTWbNmsWbNGgCqVKlCs2bNaN68Oc2bN6dGjRohVyoihYlCIY+sW7eOWbNmZQXBunXrAKhQoQKXX3453bt3JykpiXPPPZciRYqEW6yIFFoKhRhwd9asWcPs2bOzguDrr78GoFKlSlx22WX88Y9/JCkpiYSEBIWAiOQbCoVc8PPPP7N48WI+/vhjPv74Y+bOnZt1TaBy5cpcfvnlPPjggyQlJVGvXj2FgIjkWwqF47B9+3bmzp2bFQCffPIJe/bsAeCMM86gefPmNG7cmEsvvZS6desqBESkwFAoHMWBAwdYsWIFCxYsyAqCVatWAVC8eHEuuOAC/vCHP9C4cWMuueQSqlWrFnLFIiLHL5RQMLN1wC7gALDf3RPNrCLwNlALWAe0d/fv87Iud2fjxo2kp6ezYMEC0tPTWbhwIT/++CMAFStW5JJLLiE5OZnGjRvToEEDDS8tInElzDOFJu6+LWq6JzDN3Z8xs57B9J9iWcCOHTtYuHDh/4TAt99+C0CJEiWoX78+t912Gw0bNqRhw4bUrl1bXUEiEtfyU/dRGyAp+D4SmEmMQmHRokXccsstWd1AAGeffTbNmzfnoosuomHDhpx33nmULFkyFrsXEcm3wgoFB6aamQP/cPchQFV33wzg7pvN7OTsVjSzrkBXgFNPPfW4dn7KKadw9tln06lTJxo2bEhiYiLly5c/rm2JiMQTc/e836nZKe6+KfjFnwp0Aya5e/moZb539wpH2k5iYqIvXLgwtsWKiMQZM1vk7onZzQulg9zdNwU/twLvAg2BLWZWDSD4uTWM2kRECrM8DwUzO9HMyh78DlwJLAMmAcnBYsnAxLyuTUSksAvjmkJV4N3gvcDFgDfdfYqZfQKMNbMuwHrgxhBqExEp1PI8FNx9DfC7bNq3A03zuh4REfkv3XQvIiJZFAoiIpJFoSAiIlkUCiIikiWUh9dyi5llAF//ik1UBrYddan4UdiOF3TMhYWO+dic5u5VsptRoEPh1zKzhYd7qi8eFbbjBR1zYaFjzj3qPhIRkSwKBRERyVLYQ2FI2AXkscJ2vKBjLix0zLmkUF9TEBGR/1XYzxRERCSKQkFERLIUylAwsxZmtsrMVgfvg447ZlbTzGaY2QozW25m9wftFc0s1cz+Hfw84ouMChozK2pmS8xscjAd18cLYGblzWy8ma0M/rwvjufjNrM/Bn+nl5nZGDMrFW/Ha2bDzGyrmS2LajvsMZpZr+D32Sozu+rX7LvQhYKZFQVeBq4G6gI3m1ndcKuKif3Ag+5+DtAIuDc4zp7ANHevDUwLpuPJ/cCKqOl4P16AF4Ep7l6HyAjEK4jT4zaz6kB3INHdE4CiQAfi73hHAC0Oacv2GIN/1x2AesE6rwS/545LoQsFIm95W+3ua9z9Z+AtoE3INeU6d9/s7ouD77uI/KKoTuRYRwaLjQTahlJgDJhZDaAV8FpUc9weL4CZnQRcBgwFcPef3X0H8X3cxYDSZlYMOAHYRJwdr7vPBr47pPlwx9gGeMvd97r7WmA1kd9zx6UwhkJ1YEPU9MagLW6ZWS3gfGABUNXdN0MkOICTQywtt70APAJkRrXF8/ECnAFkAMODbrPXgjcaxuVxu/s3wHNEXsS1GfiPu08lTo/3EIc7xlz9nVYYQ8GyaYvb+3LNrAzwDvCAu+8Mu55YMbNrgK3uvijsWvJYMeAC4FV3Px/4kYLfdXJYQT96G+B04BTgRDO7NdyqQperv9MKYyhsBGpGTdcgcvoZd8ysOJFAGO3uE4LmLWZWLZhfDdgaVn25rDHQ2szWEekSvMLMRhG/x3vQRmCjuy8IpscTCYl4Pe5mwFp3z3D3fcAE4BLi93ijHe4Yc/V3WmEMhU+A2mZ2upmVIHKBZlLINeU6i7wEeyiwwt3/FjVrEpAcfE8GJuZ1bbHg7r3cvYa71yLyZzrd3W8lTo/3IHf/FthgZmcHTU2BL4jf414PNDKzE4K/402JXC+L1+ONdrhjnAR0MLOSZnY6UBtIP+69uHuh+wAtgS+Br4DHwq4nRsd4KZFTyM+ApcGnJVCJyJ0L/w5+Vgy71hgcexIwOfheGI63PrAw+LN+D6gQz8cNPAmsBJYBbwAl4+14gTFErpnsI3Im0OVIxwg8Fvw+WwVc/Wv2rWEuREQkS2HsPhIRkcNQKIiISBaFgoiIZFEoiIhIFoWCiIhkUSiI5IFgJNN7oqaTDo7kKpKfKBRE8kZ54J6jLSQSNoWCyCHMrFbwboLXgjH7R5tZMzP7OBjLvmEwtv17ZvaZmc03s/OCdfsEY+HPNLM1ZtY92OwzwJlmttTM/hq0lYl6D8Lo4AldzOwZM/si2PZzIfwnkEKsWNgFiORTZwE3Al2JDI3SkchT4q2BR4mMSrnE3dua2RXA60SeLAaoAzQBygKrzOxVIoPUJbh7fYh0HxEZubYekXFqPgYam9kXQDugjru7mZWP8XGK/A+dKYhkb627f+7umcByIi83ceBzoBaRgHgDwN2nA5XMrFyw7r88Mrb9NiKDllU9zD7S3X1jsI+lwXZ3AnuA18zsOuCnWBycyOEoFESytzfqe2bUdCaRM+wjDVccve4BDn9G/ovl3H0/kRekvEPkJSpTjqlqkV9JoSByfGYDt0BWV9A2P/L7KnYR6U46ouD9F+XcPQV4gP92SYnkCV1TEDk+fYi87ewzIl08yUda2N23BxeqlwEfAP86zKJlgYlmVorI2cgfc69kkaPTKKkiIpJF3UciIpJFoSAiIlkUCiIikkWhICIiWRQKIiKSRaEgIiJZFAoiIpLl/wGR9nT/BJuPfwAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -230,7 +230,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -288,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -484,7 +484,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -496,7 +496,7 @@ "Eq(y(t), 1/(C1*exp(-t) + 1))" ] }, - "execution_count": 14, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -515,12 +515,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -533,10 +533,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 15, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -555,7 +555,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -567,7 +567,7 @@ "Eq(y(t), 1/(1 + 9.0*exp(-t)))" ] }, - "execution_count": 16, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -586,12 +586,12 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -604,10 +604,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 17, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -625,12 +625,12 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -668,11 +668,59 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle Z{\\left(t \\right)} = 50 e^{0.02 t}$" + ], + "text/plain": [ + "Eq(Z(t), 50*exp(0.02*t))" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "## Your code here\n" + "t = sym.symbols('t') # symbol\n", + "Z = sym.Function('Z') # symbolic function\n", + "eqn = Z(t).diff(t) - 0.02*Z(t) #alpha=0.02\n", + "f = ode.dsolve(eqn, hint='separable', ics={Z(0): 50})\n", + "f" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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lZWVN2uXl5cHW1rbxsY2NDfLy8ppsFxYWBrlcDrlcjuLi4o55EXqu5EYtnv82Ea/+dB7eNib46h9+mDzUhiGlJxhUpPNOnDiB06dPIzo6Gp999hmOHz+O+fPnIyMjA0lJSbC0tMTSpUubtBNCNFmm6sA4d+5cJCQkICEhAWZmnM+ovR1MKcT4/xzH8fRivPWYG74PGQ5rk25Sl0VqxEt/pPOsrKwAAObm5ggODkZ8fDxGjRrVuP7555/HxIkTm7SzsbFBTk5O4+Pc3NzG30Udr6qmHp8duYxNxzPhbtkL26b7YJAFp4fXRzyjIp1WXV2Nqqqqxp8PHDgAT09PFBQUNG6ze/dueHp6Nmnr5+eH9PR0ZGVloa6uDuHh4QgKClJb7frs18zrmLAuDmFxmXg10AV7Fj7IkNJjPKMinVZYWIjg4GAAgEKhwIwZMxAYGIinn34aSUlJkMlksLe3xxdffAEAyM/PR0hICKKiomBoaIgNGzZg/PjxUCqVmDNnDjw8PKR8OTqvpl6Jfx+8hC/jMjHAtDt2vDASvnamUpdFEpOpug5/m2ZXEtGd5HI5EhISpC5DK6XkV2Lxj0lIK6zCjOED8OajbujRhf+X1gMt9ojhp4CIJKVQNuCL45mIPl+A0pt1+PoffnjE1VzqskiDMKiISDJZJdVYsj0JZ66WY5qfLb4NdIVpD968S3diUBGR2gkhsPXUFXwQlYrOBjKsm+6DoMFWvC+KVGJQEZFaFVTcwis7zyEuvQSjBplh7RRv9O/dVeqySIMxqIhILYQQ2H0mF1/FZSOrpBorn/DEzOEDeBZFLWJQEVGHK7lRi7d2X0BM8jU86tUfn88cCvt+PaQui7QEg4qIOlTMhWt4c/d5VNUo8PoEV4Rw5l1qIwYVEXWIilv1WBGRjN1n8uBp3QvbpnIIJLo3DCoianfHLhXj89jLOJNTjpfGOuOfY5zQ2YAjttG9YVARUbu5UavAqv0XsS3+KpzNe2LX/JHwtDaRuizScgwqImoXJzOuY/nOs8grv4V5ox2weNwgTg1P7YJBRUT35VadEmtiUvHNL9mw79sdO+aNhNyeA8lS+2FQEdE9O321FEu3n0NWSTX+8YA9Xgl0QXcjHlaoffETRURtdvt0HGNdLbDqCU884NRP6rJIRzGoiKhNzlwtw7IdZ5FRXI0ZwwfgjUfd0JPTcVAH4qeLiFqlVqHEukPp2HQsAxa9uuLbOcMwapCZ1GWRHmBQEVGLzudW4IvjGYg8V4Cpchu8NdEdvbp2lros0hMMKiK6q1qFEhuOXMbnRzNgYdwF3zzrh4ddOKkhqReDiohUupBXgaXbzyKtsApThtrgnYnu6N2dZ1GkfgwqIrpDnaIB64+k4/OjGejbwwib/yHHGFcLqcsiPcagIqJG53PL8c7eZJzJKcfkodZ4d6IHz6JIcgwq0nn29vYwNjaGgYEBDA0NkZCQgOXLl2Pfvn0wMjKCo6Mjvv76a5iYmLSqrS66/buoUc798NUzcoxz51kUaQaZEKK59c2uJNIG9vb2SEhIQL9+/39D6oEDBzBmzBgYGhri1VdfBQCsWbOmVW2bI5fLtS7MzudWYNmO37+LmjzUGu9MdIdJdyOpyyL90eLkZDyjIr0UEBDQ+POIESOwc+dOCauRRq1CiU8Pp2PTsUz062mE/86WY6wbz6JI83CCGNJ5MpkMAQEB8PX1RVhYWJP1mzdvxoQJE+6pLQCEhYVBLpdDLpejuLi4XWvvKGdzyrHkx7P4LDYDwUOscWDRaIYUaSxe+iOdl5+fDysrKxQVFcHf3x/r16/HqFGjAACrVq1CQkICdu3aBZms6RWI5tqqoumX/mrqlfjkUDrCjmfApk83vBfkgUfYo4+k1eKlP55Rkc6zsrICAJibmyM4OBjx8fEAgC1btiAyMhLff/+9ypBqrq02SrxShsc+jcOmYxmYKrdF5EsPMaRIKzCoSKdVV1ejqqqq8ecDBw7A09MTMTExWLNmDSIiItC9e/c2tdU2t+qUWBOdiic3/YKa+gZ899wwhE7x5hBIpDXYmYJ0WmFhIYKDgwEACoUCM2bMQGBgIJycnFBbWwt/f38Av3eo2LRpE/Lz8xESEoKoqKi7ttUmpzKv49WfzsHcuAtmDBuA1znSOWkhfkdF1I405TuqG7UKrIlOxXenrmCAaXeETvHCA46cL4o0ErunE+mb45eK8fqu88ivuIU5Dw7EsvGDOOsuaTV+eol0RMWtenxxLAOfH82Ag1kP7HxhJHztTKUui+i+MaiIdMCB5Gt4a88FlN+sw2J/Z8wb5YiunQ2kLouoXTCoiLTY9Ru1eDciGZHnCuDa3xj/ne0HL5veUpdF1K4YVERaSAiBiLP5WBGRjOpaJZb6D8K80Y4wMuQdJ6R7GFREWqag4hbe3ZOM1MIq2PXtgQ+f9IazhbHUZRF1GAYVkZZoaBAI/y0Hq6Muor6hAW886oaZw+1g0KnF3r1EWo1BRaQFskuq8dqucziVWYoHHPsidLI3BvRVPaIGka5hUBFpMIWyAdvir2Ll/oswMuyENVO8MFVue9exCYl0EYOKSEOl5Ffi1Z/O4XxeBWaNsMM/xzjBoldXqcsiUjsGFZGGqalXYv2RdHxxLBMm3TvjsxlD8ahXf55Fkd5qdqy/wMBAUVJS0i5PVFxcDDMzs3b5XeqkrXUDrF0K58+fh5eX1z23r65VoLCyFtV1CvTpbgTL3l3V1llCW/e5ttYNaG/t7Vl3YmLiz0KIZkd7VtugtJoyWGdbaWvdAGuXQo8ePVBdXd3mdpU19VgTnYrvf72KUc79EPKQA0YNUu8BTFv3ubbWDWhv7e1cNwelJdJ0B1MK8faeCyiqqkHI3wZiSQAHkSW6Hf8aiCRSXFWLFRHJ2H/+9+GPNj3tCx9bE6nLItI4aguquXPnquup2pW21g2wdin069fynE9CCGxPyMH+c9dwKus6lo93wdxRDuhsIO3wR9q6z7W1bkB7a1d33Zw4kagdtXTtPqukGq//cePuiIGmWBnsCSdzDn9Eeo3fURFpgnplA8KOZ2Ld4XR0MeyED4K9MN3PFp04/BFRixhURB3sbE45vozLROS5AgR69Md7kzx44y5RG7TrRfEdO3bAw8MDnTp1anL5Y/Xq1XBycoKLiwt+/vlnle1LS0vh7+8PZ2dn+Pv7o6ysrD3La5Vp06bBx8cHPj4+sLe3h4+Pj8rt7O3t4eXlBR8fH8jlcvUWeRcrVqyAtbV1Y/1RUVEqt4uJiYGLiwucnJwQGhqq5iqbWr58OVxdXeHt7Y3g4GCUl5er3E6T9nlL+1AIgQUvLcbAKcsxaUMcEjML8cXTvtj0tK9kIZWTk4NHHnkEbm5u8PDwwLp165psc/ToUfTu3bvxM/T+++9LUKlqLb3/Qgi89NJLcHJygre3N06fPi1BlU2lpaU17k8fHx/06tULn3zyyR3baMp+nzNnDszNzeHp6dm4rLXH5Q49rgghmvvXJikpKSI1NVWMHj1a/Pbbb43Lk5OThbe3t6ipqRGZmZnCwcFBKBSKJu2XL18uVq9eLYQQYvXq1eKVV15pawntasmSJeK9995Tuc7Ozk4UFxeruaLmvfvuu+LDDz9sdhuFQiEcHBxERkaGqK2tFd7e3iI5OVlNFar2888/i/r6eiGEEK+88spd3/d73ed2dnbC09NTDB48WPj6+gohhLh+/boYN26ccHJyEuPGjROlpaUq20ZHR4tBgwYJR0fHxs9mc/vwz98f+m2kcFy8Tdi/Fime33RQyEc+1Oa621t+fr5ITEwUQghRWVkpnJ2dm7z3sbGx4rHHHpOivBa19P7v379fBAYGioaGBnHy5EkxbNgwNVbXOgqFQlhYWIjs7Ow7lmvKfj927JhITEwUHh4ejctac1y+z+NKSznUvmdUbm5ucHFxabJ87969mD59Orp06YKBAwfCyckJ8fHxKrebPXs2AGD27NnYs2dPe5bXJkIIbN++HU899ZRkNXSE+Ph4ODk5wcHBAUZGRpg+fTr27t0raU0BAQEwNPz9KvSIESOQm5vb7s8RGxuLpKSkxjP90NBQjB07Funp6Rg7dqzK/wEqlUosXLgQ0dHRSElJwbZt25CSktLsPlQ0CCz84TQ2JgN9e3XHzhdGImzeOFReL0RBQUG7v662sLS0xNChQwEAxsbGcHNzQ15enqQ1tae9e/fimWeegUwmw4gRI1BeXi75Pv+rw4cPw9HREXZ2dlKXotKoUaNgamp6x7LWHJc7+riilv6weXl5sLW1bXxsY2Oj8g+ksLAQlpaWAH7/oyoqKlJHeSrFxcXBwsICzs7OKtfLZDIEBATA19cXYWFhaq7u7jZs2ABvb2/MmTNH5Sl6a98LqWzevBkTJkxQua499/n9/PGp2oe5eXnYmZiDS9eqcDC5EOaFv2LNmD7wtTNt3EaT9nN2djbOnDmD4cOHN1l38uRJDB48GBMmTEBycrIE1anW0vuv6Z9tAAgPD7/rf341db+35rjc0fu+zZ0pxo0bh2vXrjVZvmrVKkyaNEllG6GiC7yUA2y25jVs27at2bOpEydOwMrKCkVFRfD394erqytGjRrVYTX/qbna58+fj7fffhsymQxvv/02li5dis2bN9+xnVTvRWv2+apVq2BoaIiZM2eq/B33us//PMDJZDLMmzcPc+fOvec/vl9//RVOTk53bBd5PAG/1Dti/45zMJIpEb3oIbz0jw0w7BTQpA5NcOPGDUyZMgWffPIJevXqdce6oUOH4sqVK+jZsyeioqLwxBNPID09XaJK79TS+69px5m/qqurQ0REBFavXt1knSbv99bo6H3f5qA6dOhQm5/ExsYGOTk5jY9zc3NhZWXVZDsLCwsUFBTA0tISBQUFMDc3b/NztUZLr0GhUGDXrl1ITEy86zZ/1m9ubo7g4GDEx8erJahau/+ff/55TJw4scny1r4X7a2lurds2YLIyEgcPnz4rh/we93nqg5wrXG3P74/92FNvRKfH83Ab33HobusAf+a4o21h/rA0aynZPu5JfX19ZgyZQpmzpyJyZMnN1l/e3A9+uijWLBgAUpKSlp1I3NHa+n919R9/qfo6GgMHToUFhYWTdZp8n5vzXG5o/e9Wi79BQUFITw8HLW1tcjKykJ6ejqGDRumcrstW7YA+P3AdbcztI526NAhuLq6wsbGRuX66upqVFVVNf584MCBO3rJSOX26/G7d+9WWZOfnx/S09ORlZWFuro6hIeHIygoSJ1lNhETE4M1a9YgIiIC3burnrX2fva5qgPcn398ANr8x+fn54dL5QL+Hx3Bp4fTYZB3FpunDMRU+f+ffQUFBeHbb7+FEAKnTp1C7969G8/gpCKEwHPPPQc3NzcsWbJE5TbXrl1rDOj4+Hg0NDSgb9++6ixTpda8/5q4z2/X3FUaTd3vQOuOyx1+XGmht0Wb7Nq1S1hbWwsjIyNhbm4uAgICGtetXLlSODg4iEGDBomoqKjG5c8991xjD8GSkhIxZswY4eTkJMaMGSOuX7/e1hLaxezZs8XGjRvvWJaXlycmTJgghBAiIyNDeHt7C29vb+Hu7i5WrlwpRZlNzJo1S3h6egovLy/x+OOPi/z8fCHEnbUL8XvvKGdnZ+Hg4KARtTs6OgobGxsxePBgMXjwYDFv3jwhRPvs8xs3bojKysrGn0eOHCmio6PFsmXL7ujJtHz58iZt6+vrxcCBA0VmZmZjT6ZfEs+K1386J+xejRR2L24RA0c+2ljLxo0bxYABA4QQQjQ0NIgFCxYIBwcH4enpeUcvWKnExcUJAMLLy6txX+/fv19s3Lix8fO+fv164e7uLry9vcXw4cPFiRMnJK76d3d7/2+vXRP3+Z+qq6uFqampKC8vb1ymift9+vTpon///sLQ0FBYW1uLr7766q7H5XY8rrTY649DKJFOy8zMRHBwMIDfL+nOmDEDb775Jq5fv46pU6fi6tWrGDBgAHbs2AFTU1Pk5+cjJCSk8R60qKgoLFq0CAqlEg89vRTnDZwxyKInfGz74OWxzuhmZHDH82nrtA1EEmrxyywGFVELMotv4K09F/BLxnUMGWCC1ZO94Nq/l8ptGVREbcax/ojuVa1CiU1HM/FZ7GV06dwJK5/wxIxhAzg+H5GaMaiIVDiVeR1v7D6PzOJqTPS2xDsT3WHO8fmIJMGgIrpNaXUd/nPwEr47dQW2pt3wzbN+eNilY26TIKLWYVAR4fferzsTc/FB1EU4m/fE/Icd8dKYpp0liEj9GFSk9y4XVeGN3RcQn1UKX7s+eP8Jz7t2liCi9lFeXo4ffvgBCxYsaHFbaee+JpJQTb0SH/2chgnr4pB2rQqhk72wY95IhhSRGpSXl+Pzzz9v1bY8oyK9dDStCO/sTcbV0puYPNQabzzqhn49u0hdFpHeeO2115CRkQGZTJYE4KAQYvndtmVQkV4prKzBRz+nYUdiLhzMeuCH54fjAUfpx1Mj0jehoaG4cOECLly44NPStgwq0gsKZQO+PXkF/z54CR5WvbDEfxDmjXZAF0N2liDSdAwq0nlnrpbhrT0XkJxfidGDzPD+JA/Y9e0hdVlE1EoMKtJZFTfrsfbnVPwQfxXmxl3w2YyheNSrv0bNUUSkr4yNjRtHxG8Jg4p0jhACe5LysGr/RZRW1+HZBwZisb8zjLt2lro0IvpD37598eCDD0Imk10AEN1cZwoOSks65XJRFVZHpSLhShkG9uuBVcGe8LDqrbbn56C0RG3GQWlJP9yqU+LTI+n4Ki4T3Y0M8fZEd0weYs0BZIl0AIOKtN7BlEKsiEhGXvktPOlrg9cmuPKeKCIdwqAirZVTehPv7UvGoYtFcLEwxvZ5IzFsoKnUZRFRO2NQkdapVSgRdiwTcekluJBfgTcfdcM/HrRHZwOOCEakixhUpFWOXyrGuxHJyCqpxgRPCxxaMhpWJt2kLouIOhCDirRCQcUtrIy8iP3nCzCwXw9smTMMoweZSV0WEakBg4o0Wr2yAd+cyMZ/Dl2CskFgqf8gzOXQR0R6hUFFGuuXjBK8uzcZfXoY4QHHvnj3cQ/YmnZv8+9RKpWQy+WwtrZGZGQkpk2bhrS0NAC/TzVgYmKCpKSkJu3s7e1hbGwMAwMDGBoa8v4oIokwqEjjFFbWYNX+i4g4mw9b026Y95ADxrpb3PPvW7duHdzc3FBZWQkA+PHHHxvXLV26FL173/2G4NjYWPTrx9HViaTEblKkMeqVDfgqLhNjPjqKmORreHmsMw4uHn1fIZWbm4v9+/cjJCSkyTohBLZv346nnnrqfsomog7GMyrSCCczSvBuRDIuFd7AIy5mWBHUPiOcL1q0CGvXrlU5+GVcXBwsLCzg7Oyssq1MJkNAQABkMhnmzZuHuXPn3nc9RNR2DCqS1J+X+QoqbqG6Vokvn5FjnJt5u4xwHhkZCXNzc/j6+uLo0aNN1m/btq3Zs6kTJ07AysoKRUVF8Pf3h6urK0aNGtVku7CwMISFhQEAiouL77tuIroTB6UlSdQrG/D1iSysO5SO+gaBhY84Yu5Djuhm1H69+V5//XV89913MDQ0RE1NDSorKzF58mRs3boVCoUC1tbWSExMhI2NTYu/a8WKFejZsyeWLVvW7HYclJaozVr8Xym/oyK1O3G5BBPWxeGDqFQMd+iLg4tH4eWxg9o1pABg9erVyM3NRXZ2NsLDwzFmzBhs3boVAHDo0CG4urreNaSqq6sbLxdWV1fjwIED8PT0bNf6iKh1eOmP1Kag4hY2xmbg21NXMMC0O/47W46xbvfeUeJ+hIeHN7nsl5+fj5CQEERFRaGwsBDBwcEAAIVCgRkzZiAwMFCKUon0Hi/9UYerVSjxVVwWNhy5jAYhsHy8C2aNsEPXzrp30y4v/RG1GeejImnFphXh/X0pyCqpxngPC7z1mPs93bRLRPqLQUUd4ur1m3g/MgWHLhbCgWPzEdF9YFBRu7pVp8TGo5dxJK0ImcXVeG2CK+Y8OBBGhuy3Q0T3hkFF7UIIgegL17Bq/0Xkld/CMyPt8NUzfujfu6vUpRGRlmNQ0X27VFiFFRHJ+CXjOtwse+E/03w40y4RtRsGFd2zilv12HAkHdsTcgEA/5rkgaeGDYAhZ9olonbEoKI2UzYI7EjIwYc/p6H0Zh1efMQJzz44EKY9jKQujYh0EIOK2iTxShlWRCTjfF4F5HZ9sCVoGDyt7z5NBhHR/WJQUasUVtzCmpg07DqTB4teXbBuug+CBlu1y+CxRETNYVBRs2oVSmz+Xza+//UKqmsVWPCwIxY+4oQeXfjRISL14NGGVBJC4PDFIqzcn4Ls6zcxzs0cbz3mDvt+9z9HFBFRWzCoqInLRTfwfmQKjl8qhqMZR5UgImkxqKhRxa16/DcuE58fzUC3zgZ46zE3zH7AHp3Z3ZyIJMSgIigbBLYn5OCjn9NgadINT/raYNl4F/Tr2UXq0oiIGFT67tfM63hvXwpSCirhZ98H7z7uwe7mRKRRGFR6KrfsJlZHp2L/uQJY9e6K9U8NwURvS3Y3JyKNw6DSMzfrFNh0NAOb/5cF815dsWicM+aNcmz3aeCJiNoLg0pPNDQI7D2bhzXRabhWWYOgwVZ4NdAV1n26SV0aEVGzGFR64MzVMry3LwVJOeXwsu6NDTOGQG7P0c2JSDswqHTYtYoarI1Jxa4zeTAz7oIPn/TGlKE26NSJ30MRkfZgUOmgW3VKhB3PxMajl+FsYYwFDztiwSNO6Mlhj4hIC/FOTh0ihMDepDyM+fgo/nPoEsa4mWPDjCF4JdBVr0NKqVRiyJAhmDhxIgBgxYoVsLa2ho+PD3x8fBAVFaWyXUxMDFxcXODk5ITQ0FB1lkxEt9Hfo5eOOXO1DO9HpuDM1XJ4WvfCJ9N8MNyhr9RlaYR169bBzc0NlZWVjcsWL16MZcuW3bWNUqnEwoULcfDgQdjY2MDPzw9BQUFwd3dXR8lEdBueUWm5/PJbeH9fMoI//wW5Zbfw4ZPeiFj4N4bUH3Jzc7F//36EhIS0qV18fDycnJzg4OAAIyMjTJ8+HXv37u2gKomoOQwqLVVdq8C/D6RhzMdHsfXXq3hlvAtilz2Mv8tt2VniNosWLcLatWvRqdOdH/UNGzbA29sbc+bMQVlZWZN2eXl5sLW1bXxsY2ODvLw8lc8RFhYGuVwOuVyO4uLi9n0BRMSg0jYNDQI7E3Mx5uOj+PTIZYxzs8DhJaPZWUKFyMhImJubw9fX947l8+fPR0ZGBpKSkmBpaYmlS5c2aSuEaLLsbqN2zJ07FwkJCUhISICZGUeZJ2pvPLJpkV8zr2Pjscs4cfk63K164/OZQ+Frx/uh7ubEiROIiIhAVFQUampqUFlZiVmzZmHr1q2N2zz//PONnSxuZ2Njg5ycnMbHubm5sLKyUkvdRHQnnlFpgeySarzwXSKmhZ1C2rUbWDfNB7vnP8CQasHq1auRm5uL7OxshIeHY8yYMdi6dSsKCgoat9m9ezc8PT2btPXz80N6ejqysrJQV1eH8PBwBAUFqbN8IvoDz6g0WMXNeqw/ko4tJ7PR2aATlvoPQshDDhyX7z698sorSEpKgkwmg729Pb744gsAQH5+PkJCQhAVFQVDQ0Ns2LAB48ePh1KpxJw5c+Dh4SFx5UT6SabqWvxtml1JHaNe2YDw+Kv49PBllFTX4u++Nlga4AKLXl2lLo1aIJfLkZCQIHUZRNqkxd5fPKPSIEIIHL5YhA+iLyKzuBrT/GzxzEg7eFhxfigi0l8MKg1xIa8Cq/ZfxMnM63Aw64GvnpFjrJs554ciIr3HoJLYtYoafH70Mr47dQUm3Trj/UkeeGrYAHQ2YD8XIiKAQSWZ6loFvjiWgbC4TAy2McHzDzlg4SNO6N2ts9SlERFpFAaVmikbBLYn5ODjA5dQcqMWE70t8WqgK2xNu0tdGhGRRmJQqdHxS8X4IOoiUq9VwdeuD8Ke8cXQAX2kLouISKMxqNTgYkElPoi6iLj0EgS4W+Clsc6Y4NmfHSWIiFqBQdWBrlXU4OMDadh5Ohe9unbG2xPdMWvEAHQx5A27REStxaDqADdqFfjuZDbWHU5HQwMQ8reBePERZ/Tuzo4SRERtxaBqR/XKBoT/loN1hy7B3Lgr/N3745XxLuwoQUR0HxhU7UAIgYMphQiNSUVmcTWGDTTFG4+6wcfWROrSiIi0HoPqPiXllOOD/RcRn10KR7Me+PIZOcZxRAkionbDoLpHV65XI+x4Jn6Iv4q+PYyw8glPTPezhSFHlCAialcMqjYqra7D+iPp2HrqCgw7dcJrE1wxc7gdZ9clIuogPLq20q06JTafyMKmoxmorlNgmt8ALB7nDHNOvUFE1KEYVC1QNgj8dDoX/z5wCdcqazDOzQKvBrrA2cJY6tKIiPQCg+ouhBCITSvCV8ez8NuVUrhb9ca66T4Y7tBX6tKIiPQKg0qFM1fLsDo6FfFZpbDv2x2fzRgKf3cL9uQjIpIAg+o2WSXV+PDnVESdv4Z+PY3wr0kemM65oYiIJMWgAlBUWYP1Ry5jW/xVGBl2wstjnfH8KAf25CMi0gB6fSS+UatA2PFMfBWXCdf+xnhq2AD8c6wTzI3Zk0+XKJVKyOVyWFtbIzIyEsuXL8e+fftgZGQER0dHfP311zAxMWnSzt7eHsbGxjAwMIChoSESEhLUXzwRQS+vadUpGrDll2yMXhuLTw+n4xEXc3z098H41xOeDCkdtG7dOri5uTU+9vf3x4ULF3Du3DkMGjQIq1evvmvb2NhYJCUlMaSIJKRXQdXQILDnTC4mffY/vBuRDGeLntiz8EF8NnMoHMx6Sl0edYDc3Fzs378fISEhjcsCAgJgaPj7xYQRI0YgNzdXqvKIqBX04tKfEALHLhVjbUwaUgoq8fjg36d/Hz3IjD35dNyiRYuwdu1aVFVVqVy/efNmTJs2TeU6mUyGgIAAyGQyzJs3D3PnzlW5XVhYGMLCwgAAxcXF7VM4ETXS+aBKyinHmuhUnMy8DlvTbvhkmg+CBluhUycGlK6LjIyEubk5fH19cfTo0SbrV61aBUNDQ8ycOVNl+xMnTsDKygpFRUXw9/eHq6srRo0a1WS7uXPnNoaYXC5v19dARDocVBnFN/DdySv45pds9O1hhBWPu2PGcDsYGerV1U69duLECURERCAqKgo1NTWorKzErFmzsHXrVmzZsgWRkZE4fPjwXc+qraysAADm5uYIDg5GfHy8yqAioo4lE0I0t77ZlZqooOIW1h1Kx47EXFj37orgoTbsak44evQoPvroI0RGRiImJgZLlizBsWPHYGZmpnL76upqNDQ0wNjYGNXV1fD398c777yDwMDAZp9HLpez4wVR27R4eUtnjt7lN+uw8WgGvvklGw1C4JmRdlj4iBP69ewidWmkYV588UXU1tbC398fwO8dKjZt2oT8/HyEhIQgKioKhYWFCA4OBgAoFArMmDGjxZAioo6h9WdUN+sU+PpENiLP5SP1WhWCh1hj8bhBnP6dJMEzKqI2090zqjpFA8J/u4pPD19GyY1azBw+AP+Z5gPX/r2kLo2IiNqR1gVVQ4NA5Pl8fPhzGnJKb2HYQFN88fRQ+NqZSl0aERF1AK0JKiEEDl8swkcH0tDdyADGXTrjm2c9eS8UEZGO04qgOplxHR/+nIrTV8sxsF8PLHjEERO9eC8UEZE+0OigupBXgTUxqYhLL0H/Xl2xerIXnvS14bQbRER6RCOD6nJRFT4+cAnRF67B164P3nzUDU+PtEPXzgZSl0ZERGqmUUGVU3oTnxxKx+4zuehuZIhF45zx3N8GwrhrZ6lLIyIiiWhEUBVV1mBD7GWkF91A4pUyPPe3gZj/sBNMexhJXRoREUlM0qAqq67DpuMZ2PJLNhRKgVkj7PDvqYNh2bublGUREZEGkSSoqmrqsT0hB58cTMeNOgWe8LHGonHOsOvbQ4pyiIhIg6k1qG7VKfHtyWxsOpaBqpp6BA22xgsPO2KQhbE6yyAiIi2ilqCqVSgRHp+DDbGXUVxVi1GDzLAsYBC8bUzU8fRERKTF1BJUx9KK8W5EMoYNNMVnM4Zi2EAOd0RERK2jlqDyd7fA9nkj4Wffh8MdERFRm6glqGQyGc+iiIjonnAsIiIi0mgMKiIi0mgMKiIi0mgMKiIi0mgMKiIi0mgMKiIi0mgMKtJ5SqUSQ4YMwcSJEwEApaWl8Pf3h7OzM/z9/VFWVqayXUxMDFxcXODk5ITQ0FB1lkxEt2FQkc5bt24d3NzcGh+HhoZi7NixSE9Px9ixY1WGkFKpxMKFCxEdHY2UlBRs27YNKSkp6iybiP7AoCKdlpubi/379yMkJKRx2d69ezF79mwAwOzZs7Fnz54m7eLj4+Hk5AQHBwcYGRlh+vTp2Lt3r7rKJqLbMKhIpy1atAhr165Fp07//1EvLCyEpaUlAMDS0hJFRUVN2uXl5cHW1rbxsY2NDfLy8lQ+R1hYGORyOeRyOYqLi9v5FRCRTAghdQ1EHUImk00E8KgQYoFMJnsYwDIhxESZTFYuhDC5bbsyIUSfv7T9O4DxQoiQPx4/DWCYEOKfLTxnjBAisJ1fCpFe04ip6Ik6yIMAgmQy2aMAugLoJZPJtgIolMlklkKIAplMZgmg6SkVkAvA9rbHNgDyW3pChhRR++OlP9JZQojXhRA2Qgh7ANMBHBFCzAIQAWD2H5vNBqDqy6ffADjLZLKBMpnM6I/2EWoom4j+gkFF+igUgL9MJksH4P/HY8hkMiuZTBYFAEIIBYAXAfwM4CKA7UKIZInqJdJr/I6KiIg0Gs+oiIhIozGoiIhIozGoiIhIozGoiIhIozGoiIhIozGoiIhIozGoiIhIo/0fAIiyqMGGpwYAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sym.plot(f.rhs)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When $t=100$, $Z(100)=50e^{0.02\\times100}=369.45$, and the number of zebra is 369. From the numerical solutions of ODE above, we see the real number of zebras (when `t=100`) is a 2-digit number, which is a lot less than the case that existence of lions is not included. " ] }, { @@ -688,7 +736,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -715,7 +763,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -726,12 +774,12 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { - "image/png": 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hoII+A64AMLPawNnApgAzSZxYsGABAwcOpGPHjjzwwANhxxFJaIH1Ebj7ITPrDSwAkoB0d19nZnfElo8HhgGTzWwN+YeS7nX3XUFlkvjw6aefcvPNN3PeeecxefJkjSQqErBARx9193nAvCPmjS/w+HOgTZAZJL5kZ2fTqVMn8vLymDFjBpUqVQo7kkjC0zDUUqLcddddrF69mlmzZnHGGWeEHUckEtTmlhLj2WefJS0tjUGDBtG+ffuw44hEhgqBlAjr16+nV69etG7dmmHDhoUdRyRSVAgkdN9++y033XQTlSpVYtq0abrXsEgx01+chK5fv36sWbOG+fPnc9ppp4UdRyRy1CKQUL3yyis89dRTDBgwgLZt24YdRySSVAgkNBkZGfTo0YOLL76Y4cOHhx1HJLJUCCQUeXl5dO3alZycHJ5//nmSkzX6uEhY1EcgoRg7dixvvPEGEyZM0PUCIiFTi0CK3dq1a7nvvvto37493bt3DzuOSOSpEEixOnjwILfccgtVqlRhwoQJuuewSAmgQ0NSrIYPH84HH3zArFmzqFWrVthxRAS1CKQYrVq1ihEjRvDHP/5RQ0iIlCAqBFIsDhw4QLdu3ahduzZjxowJO46IFKBDQ1IsHnroIdauXcvcuXOpVq1a2HFEpAC1CCRwq1ev5pFHHqFbt25cc801YccRkSOoEEigcnJy6N69OzVr1mTUqFFhxxGRQujQkARq1KhRvP/++7z88ss6JCRSQqlFIIHZsGEDqampdOjQgY4dO4YdR0SOQoVAApGXl8ftt99O2bJleeKJJ8KOIyLHoENDEojJkyezdOlS0tLSqFOnTthxROQY1CKQIpeZmcmAAQNo2bKlxhISiQMqBFLk+vfvT1ZWFk8//TSlSulXTKSk01+pFKnFixczZcoUBgwYQNOmTcOOIyLHwdw97AwnJCUlxVeuXBl2DCnEgQMHaNasGTk5Oaxdu5by5cuHHUlEYsxslbunFLZMncVSZB577DE++eQT/vGPf6gIiMQRHRqSIrF582b+9re/0alTJ37729+GHUdEToAKgRSJu+66i1KlSmkYCZE4pEND8pPNnTuX2bNn88gjj1C/fv2w44jICVJnsfwk3377Leeeey7lypXj/fffJzk5OexIIlIIdRZLYEaOHMmnn37KokWLVARE4pT6COSkbd68mYcffpgbb7yR3/zmN2HHEZGTpEIgJ61///6YGY899ljYUUTkJ1AhkJOyaNEiXnnlFQYPHqwOYpE4p85iOWE5OTk0a9aMAwcOsG7dOsqVKxd2JBH5EcfqLA60RWBmbc3sEzPbaGaDjrLO5Wb2vpmtM7OlQeaRojFu3DjWr1/PqFGjVAREEkBgZw2ZWRLwJHAVkAG8a2az3f2jAutUBcYBbd39MzOrFVQeKRqZmZkMHTqUNm3a0L59+7DjiEgRCLJFcDGw0d03uftBYDpw3RHrdAFmuPtnAO6+M8A8UgSGDBnC3r17GT16NGYWdhwRKQJBFoK6wNYCzzNi8wo6C6hmZkvMbJWZ/bGwDZlZTzNbaWYrMzMzA4orP+bDDz8kLS2NP//5zxpiWiSBBFkICvu6eGTPdGng/wDXAL8F/mpmZ/3gRe5p7p7i7ik1a9Ys+qTyo9ydu+++m6pVq5Kamhp2HBEpQkFeWZwBFDyvsB7weSHr7HL3fcA+M3sTaAb8O8BcchJmzpzJ4sWLefLJJ6levXrYcUSkCAXZIngXaGxmjcwsGegMzD5inVnAZWZW2swqAJcA6wPMJCfhwIED9O/fn3PPPZeePXuGHUdEilhgLQJ3P2RmvYEFQBKQ7u7rzOyO2PLx7r7ezP4BfAjkAc+4+9qgMsnJefzxx9m0aROvv/46pUtreCqRRKMLyuSYdu7cSePGjbnsssuYO3du2HFE5CSFdkGZxL8hQ4awf/9+jSckksBUCOSo1qxZw4QJE7jzzjtp0qRJ2HFEJCAqBFIod+eee+6hSpUqDBkyJOw4IhIg9fxJoebPn8/ChQsZO3asThcVSXA/2iIws95mVq04wkjJkJOTQ79+/TjrrLPo1atX2HFEJGDH0yI4lfwB41YD6cACj7dTjeSETJgwgY8//phZs2ZRpkyZsOOISMCO6/RRyx9drA1wK5AC/C8w0d3/E2y8H9Lpo8Has2cPZ555JhdccAGLFi3SwHIiCeInnz4aawFsj02HgGrAy2Y2sshSSonwt7/9ja+++opRo0apCIhExI8eGjKzvkBXYBfwDDDA3XPMrBSwARgYbEQpLps2beLxxx+nW7duXHjhhWHHEZFicjx9BDWAG9x9S8GZ7p5nZu2CiSVhGDRoEKVLl2b48OFhRxGRYvSjhcDdj3oSubtrgLgE8fbbb/PSSy+RmppKnTp1wo4jIsVIF5TJ4YvH6tSpQ//+/cOOIyLFTBeUCS+++CLLly8nPT2dihUrhh1HRIqZRh+NuOzsbJo0aULVqlVZtWoVSUlJYUcSkQAc6/RRtQgibuzYsWzZsoWJEyeqCIhElPoIIiwzM5MRI0bQrl07rrjiirDjiEhIVAgiLDU1lX379vHoo4+GHUVEQqRCEFHr16/n6aef5o477tC9BkQiToUgogYMGEClSpUYOnRo2FFEJGTqLI6ghQsX8tprrzFy5Ehq1qwZdhwRCZlOH42Y3Nxcmjdvzt69e1m/fj1ly5YNO5KIFAOdPiqHTZo0iTVr1vDSSy+pCIgIoD6CSMnKyuKBBx6gRYsWdOzYMew4IlJCqEUQIY888gg7duxg9uzZuteAiBymFkFEbNmyhb///e906dKFiy++OOw4IlKCqBBExKBBgzAzHn744bCjiEgJo0IQAW+//TbTp0+nf//+1K9fP+w4IlLCqBAkuLy8PP7yl79w2mmnMXCg7ioqIj+kzuIE9/zzz7NixQomT55MpUqVwo4jIiWQLihLYPv27ePss8/m1FNPZcWKFZQqpQagSFTpgrKIGjlyJNu2bWP69OkqAiJyVPp0SFBbtmxh5MiRdO7cmZYtW4YdR0RKMBWCBHXvvfdiZjzyyCNhRxGREk6FIAG99dZbvPjiiwwcOJAGDRqEHUdESjgVggSTm5vL3XffTb169XS6qIgcl0ALgZm1NbNPzGyjmQ06xnq/MLNcM+sUZJ4omDhxIqtXr2bkyJFUqFAh7DgiEgcCKwRmlgQ8CVwNNAVuNrOmR1nvEWBBUFmiYvfu3QwePJhWrVrRuXPnsOOISJwIskVwMbDR3Te5+0FgOnBdIev1AV4BdgaYJRKGDBnC7t27efzxxzW6qIgctyALQV1ga4HnGbF5h5lZXaADMP5YGzKznma20sxWZmZmFnnQRLBmzRrGjRtHr169aNasWdhxRCSOBFkICvtKeuRlzGOAe90991gbcvc0d09x9xTdY/eH3J2+fftSrVo1HnroobDjiEicCfLK4gyg4FCX9YDPj1gnBZgeO4xRA/idmR1y95kB5ko406dPZ8mSJYwfP57q1auHHUdE4kxgYw2ZWWng38AVwDbgXaCLu687yvqTgbnu/vKxtquxhr7vm2++oUmTJtStW5d33nmHpKSksCOJSAkUylhD7n7IzHqTfzZQEpDu7uvM7I7Y8mP2C8jxefDBB9m+fTuzZs1SERCRkxLooHPuPg+Yd8S8QguAu3cLMksiWrNmDWPHjuX222/nF7/4RdhxRCRO6criOOXu9O7dmypVqjBixIiw44hIHNMw1HFqypQpvPnmm6SlpXHKKaeEHUdE4phaBHHoyy+/pH///vzqV7+ie/fuYccRkTinQhCHBg4cyJ49exg/frxuOCMiP5k+ReLMW2+9RXp6Ovfccw/nn39+2HFEJAHonsVx5ODBgzRv3px9+/axbt06KlasGHYkEYkTumdxghg5ciQfffQRc+bMUREQkSKjQ0Nx4uOPP2bYsGHcdNNNtGvXLuw4IpJAVAjiQF5eHrfffjsVK1Zk7NixYccRkQSjQ0NxIC0tjWXLljFp0iRq164ddhwRSTBqEZRwGRkZ3HvvvVxxxRV07do17DgikoBUCEowd+dPf/oTOTk5PP3007rrmIgEQoeGSrApU6Ywb948xo4dyxlnnBF2HBFJUGoRlFDbtm3jrrvu4rLLLqN3795hxxGRBKZCUAJ9d0jo4MGDTJw4UcNIiEigdGioBHr22Wd57bXXGD16NI0bNw47jogkOH3VLGE2b95M3759adWqFX369Ak7johEgApBCZKXl0e3bt2A/FaBbj0pIsVBh4ZKkNGjR7N06VImTZrE6aefHnYcEYkItQhKiLVr1zJ48GCuv/56XTgmIsVKhaAE+Pbbb+ncuTPVqlUjLS1NF46JSLHSoaESoF+/fqxbt44FCxZQs2bNsOOISMSoRRCymTNn8tRTT9GvXz/atGkTdhwRiSAVghBlZGTQvXt3LrroIkaMGBF2HBGJKBWCkOTk5HDzzTdz4MABXnjhBZKTk8OOJCIRpT6CkNx///0sW7aMadOmcdZZZ4UdR0QiTC2CEMyePZtHH32UO+64gy5duoQdR0QiToWgmG3evJmuXbty0UUXMXr06LDjiIioEBSn/fv3c8MNN+DuvPTSS5QrVy7sSCIi6iMoLu5Oz549ef/995kzZw4///nPw44kIgKoEBSbMWPGMG3aNIYNG8Y111wTdhwRkcN0aKgYvPHGGwwYMIAOHTowePDgsOOIiHyPCkHA/v3vf9OpUyfOPvtsnn32Wd1tTERKHH0qBeirr76iXbt2JCUlMWfOHCpXrhx2JBGRH1AfQUAOHjxIp06d2LJlC4sWLVLnsIiUWIG2CMysrZl9YmYbzWxQIcv/x8w+jE1vm1mzIPMUF3enV69eLF68mIkTJ9KyZcuwI4mIHFVghcDMkoAngauBpsDNZtb0iNU+BX7t7hcAw4C0oPIUp6FDh5Kens6QIUO45ZZbwo4jInJMQbYILgY2uvsmdz8ITAeuK7iCu7/t7rtjT98B6gWYp1iMHz+eYcOG0aNHD1JTU8OOIyLyo4IsBHWBrQWeZ8TmHU13YH5hC8ysp5mtNLOVmZmZRRixaL366qvceeedtGvXjqeeekp3GhORuBBkISjsU9ALXdGsNfmF4N7Clrt7mrunuHtKSb2D1z//+U86d+7ML37xC6ZPn07p0uqHF5H4EOSnVQZQv8DzesDnR65kZhcAzwBXu/uXAeYJzLJly7j++utp0qQJ8+bNo2LFimFHEhE5bkG2CN4FGptZIzNLBjoDswuuYGYNgBnAH9z93wFmCcyqVau45pprqFevHq+//jrVq1cPO5KIyAkJrEXg7ofMrDewAEgC0t19nZndEVs+HhgCnAKMix1PP+TuKUFlKmqrVq3iqquuonr16ixatIjatWuHHUlE5ISZe6GH7UuslJQUX7lyZdgxePfdd2nTpg1VqlRh8eLFNGrUKOxIIiJHZWarjvZFW0NMnITly5dz1VVXUa1aNZYuXaoiICJxTYXgBC1evJirrrqKU045hSVLltCwYcOwI4mI/CQqBCdg5syZtG3blvr16/Pmm2/SoEGDsCOJiPxkKgTHadKkSXTs2JHmzZvz1ltvUbfusa6NExGJHyoEP8LdSU1N5bbbbuPKK69k4cKFOkVURBKKLn89hgMHDtCjRw+mTp1Kt27dePrpp0lOTg47lohIkVKL4CgyMzNp06YNU6dOZfjw4aSnp6sIiEhCUougEO+99x4dOnRg+/btTJs2jS5duoQdSUQkMGoRHOGFF16gRYsW5ObmsmzZMhUBEUl4KgQx2dnZ3HnnnXTp0oWUlBRWrlxJSkrcjHYhInLSVAiADRs28Ktf/Ypx48bRr18/Fi5cqHGDRCQyIt1H4O5MmTKFPn36UKZMGWbPns21114bdiwRkWIV2RbBrl276NSpE926dePCCy/kvffeUxEQkUiKZCF49dVXOe+885g7dy4jR45k8eLFGi5CRCIrUoeGvvjiC3r37s2MGTO48MILef3117ngggvCjiUiEqrItAjmz59P06ZNmTdvHg8//DArVqxQERARIUItgsaNG3PppZfy+OOP07hx47DjiIiUGJEpBGeeeSbz588PO4aISIkTmUNDIiJSOBUCEZGIUyEQEYk4FQIRkYhTIRARid9BkGcAAAQCSURBVDgVAhGRiFMhEBGJOBUCEZGIM3cPO8MJMbNMYMtJvrwGsKsI48SLKO53FPcZornfUdxnOPH9bujuNQtbEHeF4Kcws5XuHrnbjkVxv6O4zxDN/Y7iPkPR7rcODYmIRJwKgYhIxEWtEKSFHSAkUdzvKO4zRHO/o7jPUIT7Hak+AhER+aGotQhEROQIKgQiIhEXmUJgZm3N7BMz22hmg8LOEzQzq29mi81svZmtM7O7ws5UnMwsyczeM7O5YWcpDmZW1cxeNrOPY//nvww7U3Ews7/Efr/XmtkLZlYu7ExBMLN0M9tpZmsLzKtuZv80sw2xn9VOdvuRKARmlgQ8CVwNNAVuNrOm4aYK3CGgn7ufA1wK3BmBfS7oLmB92CGK0VjgH+7eBGhGBPbdzOoCfYEUdz8PSAI6h5sqMJOBtkfMGwQscvfGwKLY85MSiUIAXAxsdPdN7n4QmA5cF3KmQLn7F+6+OvY4i/wPhrrhpioeZlYPuAZ4JuwsxcHMfga0AiYCuPtBd98TbqpiUxoob2algQrA5yHnCYS7vwl8dcTs64BnY4+fBa4/2e1HpRDUBbYWeJ5BRD4UAczsdKA5sDzcJMVmDDAQyAs7SDH5OZAJTIodDnvGzCqGHSpo7r4NeAz4DPgC+NrdXw83VbGq7e5fQP4XP6DWyW4oKoXACpkXifNmzawS8Apwt7t/E3aeoJlZO2Cnu68KO0sxKg1cBDzl7s2BffyEwwTxInZM/DqgEVAHqGhmt4SbKj5FpRBkAPULPK9HgjYhCzKzMuQXgWnuPiPsPMWkBdDezDaTfwjwN2Y2NdxIgcsAMtz9uxbfy+QXhkR3JfCpu2e6ew4wA/hVyJmK0w4zOw0g9nPnyW4oKoXgXaCxmTUys2TyO5Rmh5wpUGZm5B8zXu/uo8LOU1zc/T53r+fup5P///yGuyf0t0R33w5sNbOzY7OuAD4KMVJx+Qy41MwqxH7fryACneQFzAa6xh53BWad7IZKF0mcEs7dD5lZb2AB+WcWpLv7upBjBa0F8AdgjZm9H5s32N3nhZhJgtMHmBb7orMJuDXkPIFz9+Vm9jKwmvyz5N4jQYebMLMXgMuBGmaWAQwFHgb+18y6k18Uf3/S29cQEyIi0RaVQ0MiInIUKgQiIhGnQiAiEnEqBCIiEadCICIScSoEIkUgNvrnn8POIXIyVAhEikZVQIVA4pIKgUjReBg4w8zeN7NHww4jciJ0QZlIEYiN8Do3Ni6+SFxRi0BEJOJUCEREIk6FQKRoZAGVww4hcjJUCESKgLt/Cfy/2E3U1VkscUWdxSIiEacWgYhIxKkQiIhEnAqBiEjEqRCIiEScCoGISMSpEIiIRJwKgYhIxP1/5qfkUfpQ0NEAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -779,12 +827,12 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 21, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -828,7 +876,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -837,7 +885,7 @@ "[array([34.65385735])]" ] }, - "execution_count": 24, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -855,12 +903,12 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -900,7 +948,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -909,7 +957,7 @@ "[array([34.65385735])]" ] }, - "execution_count": 23, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -942,7 +990,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.8.11" } }, "nbformat": 4,