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|
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "1ebba6a4-0f66-4e99-8363-7d9e227b4949",
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "5f1575d2-d501-46ef-97d5-9d20d1259e4f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5ceef33e10>]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d = np.array([16811, 16732, 16768, 16811, 16799, 16812, 16784, 16725, 16799, 16817, 16819, 16768, 16763, 16760, 16791, 16788, 16773, 16813, 16813, \n",
" 16806, 16818, 16816, 16817, 16816, 16773, 16784, 16766, 16759, 16752, 16756, 16766, 16772, 16770, 16776, 16774, 16759, 16757, 16759, \n",
" 16786, 16766, 16777, 16780, 16780, 16807, 16797, 16791, 16766, 16739, 16730, 16753, 16791, 16788, 16783, 16782, 16799, 16777, 16759, \n",
" 16746, 16740, 16761, 16775, 16762, 16750, 16741, 16783, 16788, 16753, 16732, 16717, 16752, 16776, 16750, 16747, 16732, 16791, 16756, \n",
" 16742, 16751, 16784, 16761, 16738, 16778, 16780, 16781, 16734, 16705, 16748, 16807, 16781, 16742, 16718, 16746, 16757, 16762, 16750, \n",
" 16740, 16721, 16783, 16776, 16762, 16761, 16769, 16765, 16758, 16738, 16732, 16713, 16758, 16788, 16758, 16734, 16754, 16761, 16767, \n",
" 16757, 16741, 16749, 16757, 16736, 16719, 16726, 16725, 16775, 16770, 16753, 16722, 16725, 16752, 16754, 16715, 16720, 16744, 16764, \n",
" 16737, 16730, 16728, 16748, 16767, 16750, 16697, 16712, 16723, 16728, 16748, 16766, 16753, 16771, 16751, 16727, 16705, 16703, 16740, \n",
" 16755, 16769, 16754, 16719, 16725, 16732, 16743, 16769, 16754, 16728, 16706, 16748, 16739, 16742, 16732, 16748, 16727, 16810, 16855, \n",
" 16855, 16914, 16954, 17022, 17069, 17140, 17242, 17291, 17312, 17328, 17461, 17546, 17597, 17695, 17892, 18061, 18165, 18281, 18593, \n",
" 18843, 18916, 18981, 19363, 19653, 19764, 19899, 20397, 20768, 20898, 20932, 21468, 21858, 21995, 21958, 22456, 22917, 23046, 22952, \n",
" 23425, 23944, 24075, 23929, 24355, 24983, 25185, 25034, 25395, 26125, 26359, 26225, 26500, 27240, 27582, 27458, 27641, 28395, 28821, \n",
" 28716, 28859, 29570, 30079, 29944, 30013, 30641, 31246, 31149, 31177, 31690, 32377, 32412, 32491, 33302, 34007, 34034, 33972, 34326, \n",
" 34947, 35047, 35013, 35327, 35917, 36097, 36064, 36288, 36796, 37067, 37055, 37264, 37676, 37965, 37960, 38111, 38379, 38609, 38565, \n",
" 38695, 38934, 39201, 39155, 39180, 39342, 39507, 39505, 39564, 39702, 39850, 39843, 39862, 39934, 40039, 40107, 40193, 40292, 40389, \n",
" 40435, 40440, 40531, 40637, 40691, 40737, 40792, 40868, 40888, 40866, 40837, 40900, 40907, 40867, 40816, 40804, 40824, 40783, 40773, \n",
" 40786, 40762, 40720, 40710, 40744, 40746, 40690, 40682, 40778, 40749, 40711, 40693, 40736, 40749, 40741, 40736, 40749, 40749, 40743, \n",
" 40747, 40781, 40754, 40731, 40733, 40760, 40729, 40717, 40755, 40788, 40753, 40715, 40702, 40755, 40772, 40740, 40702, 40727, 40744, \n",
" 40716, 40707, 40702, 40720, 40749, 40752, 40720, 40758, 40728, 40704, 40765, 40751, 40726, 40708, 40738, 40744, 40683, 40729, 40787, \n",
" 40747, 40691, 40702, 40785, 40742, 40709, 40737, 40769, 40728, 40700, 40738, 40769, 40763, 40705, 40707, 40759, 40761, 40753, 40747, \n",
" 40754, 40737, 40703, 40696, 40731, 40732, 40701, 40686, 40736, 40751, 40745, 40756, 40756, 40743, 40724, 40712, 40729, 40726, 40733, \n",
" 40746, 40771, 40744, 40737, 40709, 40733, 40758, 40728, 40714, 40708, 40709, 40681, 40728, 40761, 40739, 40719, 40697, 40735, 40728, \n",
" 40719, 40695, 40690, 40723, 40711, 40764, 40745, 40725, 40696, 40719, 40757, 40724, 40716, 40704, 40740, 40737, 40703, 40714, 40739, \n",
" 40772, 40737, 40726, 40730, 40713, 40717, 40686, 40701, 40719, 40712, 40738, 40746, 40777, 40747, 40739, 40730, 40735, 40697, 40687, \n",
" 40717, 40744, 40718, 40719, 40713, 40744, 40707, 40706, 40741, 40751, 40731, 40727, 40747, 40716, 40745, 40716, 40730, 40729, 40729, \n",
" 40702, 40721, 40707, 40693, 40705, 40701, 40720, 40734, 40758, 40732, 40770, 40755, 40761, 40739, 40743, 40708, 40693, 40707, 40739, \n",
" 40705, 40699, 40691, 40759, 40711, 40733, 40697, 40715, 40703, 40694, 40715, 40717, 40762, 40722, 40712, 40717, 40713, 40709, 40711, \n",
" 40743, 40748, 40747, 40743, 40794, 40755, 40710, 40727, 40728, 40722, 40689, 40704, 40699, 40733, 40741, 40720, 40732, 40699, 40707, \n",
" 40685, 40697, 40707, 40710, 40719, 40743, 40751, 40734, 40695, 40718, 40722, 40689, 40680, 40748, 40726, 40712, 40709, 40739, 40747, \n",
" 40723, 40704, 40718, 40692, 40694, 40700, 40705, 40716, 40739, 40734, 40760, 40762, 40730, 40708, 40724, 40739, 40744, 40722, 40702, \n",
" 40705, 40699, 40702, 40771, 40730, 40733, 40707, 40758, 40732, 40708, 40722, 40724, 40728, 40726, 40710, 40695, 40715, 40699, 40678, \n",
" 40728, 40735, 40711, 40720, 40720, 40748, 40729, 40727, 40729, 40759, 40700, 40701, 40675, 40713, 40717, 40715, 40747, 40726, 40731, \n",
" 40716, 40718, 40745, 40721, 40700, 40731, 40747, 40713, 40701, 40720, 40708, 40694, 40698, 40699, 40711, 40711, 40668, 40718, 40694, \n",
" 40673, 40684, 40683, 40698, 40659, 40681, 40709, 40722, 40728, 40736, 40725, 40733, 40718, 40710, 40726, 40735, 40754, 40724, 40741, \n",
" 40757, 40745, 40741, 40745, 40757, 40731, 40725, 40709, 40705, 40707, 40698, 40703, 40722, 40700, 40687, 40703, 40720, 40681, 40691, \n",
" 40692, 40691, 40707, 40722, 40702, 40713, 40741, 40718, 40687, 40705, 40674, 40688, 40710, 40757, 40747, 40728, 40719, 40714, 40693, \n",
" 40661, 40682, 40704, 40693, 40700, 40695, 40654, 40584, 40520, 40500, 40458, 40338, 40278, 40260, 40209, 40099, 40040, 40039, 39996, \n",
" 39834, 39709, 39661, 39537, 39261, 39117, 39064, 38864, 38469, 38245, 38181, 37857, 37424, 37180, 37130, 36742, 36216, 35946, 35961, \n",
" 35508, 34982, 34802, 34846, 34399, 33829, 33660, 33759, 33075, 32114, 32022, 32069, 31526, 30905, 30905, 30891, 30254, 29699, 29753, \n",
" 29695, 28990, 28405, 28498, 28369, 27722, 27189, 27295, 27083, 26404, 25901, 26023, 25823, 25166, 24762, 24833, 24578, 23967, 23659, \n",
" 23735, 23463, 22880, 22618, 22649, 22413, 21876, 21729, 21687, 21384, 20915, 20765, 20761, 20546, 20200, 20114, 20105, 19928, 19632, \n",
" 19603, 19591, 19427, 19174, 19152, 19153, 19016, 18765, 18623, 18543, 18373, 18095, 17963, 17915, 17693, 17477, 17418, 17334, 17286, \n",
" 17250, 17232, 17215, 17210, 17195, 17177, 17133, 17150, 17126, 17104, 17096, 17099, 17116, 17078, 17017, 17017, 17021, 17007, 16995, \n",
" 17003, 17045, 17045, 17033, 17046, 17013, 17002, 17007, 17029, 16994, 16976, 16976, 16990, 17011, 17038, 17002, 16991, 16997, 17014, \n",
" 16989, 17001, 17006, 16987, 16927, 16920, 16902, 16939, 16967, 16979, 16962, 16946, 16938, 16942, 16945, 16927, 16957, 16962, 16927, \n",
" 16936, 16903, 16894, 16894, 16866, 16878, 16894, 16909, 16915, 16935, 16941, 16931, 16905, 16892, 16872, 16886, 16858, 16871, 16856, \n",
" 16880, 16878, 16872, 16903, 16894, 16859, 16858, 16870, 16884, 16865, 16895, 16877, 16890, 16873, 16907, 16899, 16846, 16834, 16842, \n",
" 16852, 16865, 16891, 16861, 16841, 16848, 16820, 16820, 16827, 16847, 16849, 16870, 16849, 16827, 16800, 16843, 16840, 16822, 16845, \n",
" 16849, 16816, 16810, 16822, 16817, 16801, 16800, 16790, 16796, 16793, 16824, 16854, 16859, 16793, 16793, 16798, 16822, 16831, 16810, \n",
" 16788, 16793, 16827, 16834, 16831, 16794, 16799, 16813, 16786, 16788, 16793, 16796, 16789, 16807, 16812, 16827, 16813, 16815, 16798, \n",
" 16805, 16817, 16821, 16796, 16797, 16813, 16767, 16781, 16778, 16794, 16776, 16802, 16770, 16790, 16779, 16790, 16816, 16812, 16827, \n",
" 16814, 16835, 16809, 16809, 16791, 16821, 16800, 16819, 16825, 16822, 16817, 16833, 16830, 16829, 16820, 16800, 16762, 16749, 16748, \n",
" 16761, 16739, 16732, 16760, 16778, 16783, 16777, 16781, 16762, 16782, 16802, 16775, 16782, 16801, 16797, 16779, 16773, 16764, 16772, \n",
" 16759, 16745, 16747, 16781, 16788, 16785, 16773, 16768, 16761, 16784, 16766, 16797, 16753, 16768, 16743, 16751, 16779, 16789, 16769, \n",
" 16755, 16757, 16739, 16740, 16761, 16770, 16776, 16792, 16791, 16798, 16792, 16795, 16756, 16734, 16712, 16735, 16741, 16725, 16751, \n",
" 16777, 16784, 16770, 16736, 16774, 16799, 16786, 16791, 16793, 16787, 16766, 16780, 16781, 16750, 16758, 16773, 16782, 16756, 16784, \n",
" 16769, 16783, 16781, 16781, 16804, 16807, 16825, 16833, 16914, 16993, 17039, 17062, 17141, 17223, 17314, 17327, 17430, 17533, 17584, \n",
" 17605, 17756, 17954, 18107, 18159, 18328, 18667, 18853, 18956, 19125, 19477, 19705, 19825, 20009, 20520, 20813, 20891, 21008, 21567, \n",
" 21894, 21934, 22013, 22623, 23028, 23054, 23017, 23612, 24017, 24083, 23982, 24587, 25131, 25223, 25128, 25684, 26262, 26362, 26242, \n",
" 26715, 27398, 27610, 27467, 27859, 28641, 28882, 28720, 29022, 29821, 30107, 29937, 30174, 30947, 31314, 31145, 31285, 31987, 32843, \n",
" 32468, 32721, 33594, 34134, 34017, 34062, 34505, 35117, 35074, 35129, 35515, 36103, 36121, 36165, 36477, 37008, 37067, 37140, 37429, \n",
" 37883, 38016, 37996, 38199, 38577, 38707, 38692, 38817, 39057, 39188, 39176, 39290, 39514, 39617, 39567, 39623, 39727, 39780, 39798, \n",
" 39839, 39974, 40075, 40085, 40170, 40298, 40398, 40452, 40510, 40616, 40662, 40724, 40787, 40825, 40889, 40872, 40887, 40897, 40899, \n",
" 40857, 40819, 40812, 40813, 40766, 40740, 40722, 40721, 40602, 40517, 40464, 40437, 40369, 40305, 40273, 40169, 40104, 40039, 40006, \n",
" 39985, 39726, 39624, 39601, 39465, 39182, 39012, 38968, 38824, 38455, 38203, 38085, 37813, 37373, 37140, 37050, 36749, 36200, 35938, \n",
" 35956, 35611, 35000, 34769, 34832, 34464, 33844, 33629, 33756, 33199, 32110, 31899, 31996, 31516, 30923, 30825, 30882, 30320, 29736, \n",
" 29705, 29671, 29082, 28485, 28529, 28443, 27792, 27196, 27255, 27149, 26464, 25929, 26051, 25867, 25256, 24735, 24878, 24638, 24010, \n",
" 23631, 23732, 23456, 22904, 22618, 22678, 22395, 21884, 21686, 21677, 21409, 20946, 20770, 20799, 20623, 20266, 20096, 20081, 19925, \n",
" 19669, 19568, 19579, 19444, 19165, 19108, 19111, 18973, 18735, 18618, 18578, 18414, 18160, 18005, 17893, 17696, 17491, 17357, 17309, \n",
" 17212, 17096, 17021, 17017, 17004, 17016, 16971, 16937, 16960, 16959, 16942, 16912, 16884, 16880, 16869, 16887, 16922, 16970, 16973, \n",
" 17050, 17120, 17164, 17256, 17318, 17369, 17381, 17480, 17582, 17680, 17701, 17863, 18069, 18225, 18288, 18459, 18732, 18898, 18966, \n",
" 19136, 19560, 19810, 19881, 20071, 20543, 20826, 20935, 21052, 21620, 21970, 22041, 22041, 22607, 22993, 23075, 23043, 23659, 24075, \n",
" 24133, 24057, 24599, 25125, 25183, 25030, 25526, 26172, 26333, 26291, 26705, 27450, 27659, 27502, 27814, 28570, 28871, 28744, 29020, \n",
" 29792, 30160, 30014, 30161, 30847, 31289, 31134, 31271, 31905, 32944, 32376, 32388, 33505, 34083, 34015, 34032, 34452, 35052, 35012, \n",
" 35063, 35439, 36052, 36092, 36138, 36480, 37012, 37100, 37118, 37401, 37897, 38040, 38026, 38189, 38529, 38677, 38655, 38807, 39064, \n",
" 39270, 39206, 39246, 39448, 39611, 39601, 39610, 39738, 39785, 39797, 39853, 39961, 40039, 40088, 40185, 40289, 40397, 40414, 40473, \n",
" 40597, 40729, 40714, 40712, 40754, 40848, 40781, 40779, 40795, 40826, 40800, 40749, 40771, 40818, 40783, 40754, 40737, 40708, 40704, \n",
" 40687, 40701, 40702, 40714, 40699, 40723, 40668, 40716, 40727, 40743, 40756, 40739, 40734, 40725, 40753, 40706, 40700, 40712, 40722, \n",
" 40746, 40752, 40722, 40693, 40725, 40745, 40715, 40765, 40742, 40722, 40718, 40735, 40736, 40730, 40700, 40711, 40706, 40699, 40727, \n",
" 40713, 40728, 40730, 40761, 40749, 40704, 40707, 40712, 40760, 40743, 40756, 40759, 40772, 40768, 40753, 40730, 40737, 40749, 40704, \n",
" 40760, 40754, 40786, 40747, 40728, 40722, 40734, 40683, 40695, 40709, 40691, 40692, 40709, 40723, 40733, 40691, 40723, 40724, 40737, \n",
" 40676, 40691, 40743, 40749, 40758, 40741, 40748, 40742, 40734, 40730, 40727, 40725, 40694, 40707, 40725, 40717, 40695, 40701, 40731, \n",
" 40724, 40738, 40732, 40745, 40736, 40714, 40744, 40743, 40752, 40735, 40728, 40743, 40726, 40717, 40725, 40718, 40728, 40688, 40721, \n",
" 40763, 40756, 40751, 40732, 40749, 40734, 40751, 40709, 40729, 40733, 40695, 40677, 40697, 40655, 40548, 40492, 40497, 40387, 40291, \n",
" 40268, 40240, 40150, 40069, 40048, 40058, 39935, 39791, 39702, 39676, 39456, 39210, 39107, 39057, 38731, 38390, 38219, 38136, 37706, \n",
" 37335, 37138, 37089, 36589, 36148, 35990, 35951, 35368, 34949, 34841, 34820, 34226, 33796, 33779, 33716, 32673, 32083, 32129, 32098, \n",
" 31257, 30883, 30982, 30769, 30069, 29713, 29856, 29570, 28871, 28513, 28613, 28273, 27530, 27241, 27333, 26954, 26299, 26018, 26051, \n",
" 25665, 24992, 24837, 24862, 24481, 23877, 23783, 23741, 23361, 22803, 22703, 22678, 22291, 21752, 21752, 21593, 21270, 20868, 20837, \n",
" 20769, 20500, 20169, 20178, 20102, 19825, 19587, 19579, 19529, 19356, 19091, 19180, 19108, 18906, 18668, 18638, 18517, 18296, 18053, \n",
" 17953, 17807, 17609, 17450, 17418, 17358, 17299, 17214, 17218, 17197, 17222, 17217, 17169, 17164, 17127, 17111, 17064, 17088, 17098, \n",
" 17099, 17059, 17070, 17049, 17055, 17045, 17036, 17026, 17036, 17003, 17007, 17002, 16981, 16992, 16975, 16966, 16978, 16967, 16968, \n",
" 17004, 17029, 17020, 16999, 16956, 16946, 16960, 16937, 16913, 16940, 16953, 16966, 16986, 16957, 16957, 16964, 16951, 16947, 16942, \n",
" 16941, 16910, 16916, 16891, 16894, 16906, 16894, 16913, 16887, 16883, 16898, 16903, 16903, 16907, 16914, 16910, 16913, 16908, 16924, \n",
" 16933, 16922, 16906, 16874, 16834, 16855, 16848, 16844, 16833, 16823, 16852, 16851, 16843, 16827, 16829, 16875, 16878, 16878, 16889, \n",
" 16886, 16884, 16864, 16860, 16868, 16851, 16852, 16832, 16813, 16816, 16809, 16838, 16824, 16850, 16870, 16879, 16866, 16860, 16829, \n",
" 16830, 16832, 16832, 16777, 16850, 16867, 16831, 16810, 16810, 16807, 16786, 16791, 16805, 16828, 16854, 16861, 16865, 16822, 16770, \n",
" 16791, 16788, 16792, 16814, 16829, 16841, 16797, 16840, 16821, 16835, 16833, 16837, 16845, 16830, 16833, 16812, 16818, 16842, 16854, \n",
" 16930, 17015, 17070, 17132, 17194, 17292, 17357, 17380, 17449, 17574, 17634, 17667, 17791, 17968, 18151, 18212, 18363, 18647, 18835, \n",
" 18910, 19055, 19475, 19759, 19855, 19998, 20494, 20806, 20904, 21008, 21566, 21917, 22008, 21992, 22559, 22998, 23100, 23034, 23599, \n",
" 24053, 24125, 24009, 24522, 25090, 25252, 25130, 25573, 26251, 26426, 26290, 26672, 27394, 27630, 27462, 27755, 28530, 28879, 28752, \n",
" 28985, 29759, 30155, 30016, 30158, 30849, 31339, 31150, 31273, 31894, 32718, 32324, 32558, 33475, 34066, 34009, 34035, 34459, 35022, \n",
" 35001, 35043, 35401, 35990, 36096, 36133, 36423, 36977, 37103, 37100, 37308, 37770, 37936, 37922, 38101, 38463, 38655, 38637, 38780, \n",
" 39060, 39205, 39149, 39223, 39411, 39580, 39492, 39580, 39683, 39820, 39771, 39849, 39966, 40072, 40083, 40141, 40268, 40366, 40443, \n",
" 40480, 40588, 40672, 40726, 40777, 40817, 40861, 40861, 40868, 40850, 40823, 40804, 40787, 40772, 40829, 40758, 40732, 40744, 40770, \n",
" 40757, 40734, 40752, 40761, 40759, 40739, 40709, 40737, 40746, 40757, 40768, 40808, 40751, 40754, 40758, 40765, 40727, 40752, 40711, \n",
" 40709, 40727, 40694, 40736, 40739, 40701, 40703, 40724, 40749, 40747, 40753, 40770, 40771, 40758, 40751, 40758, 40770, 40728, 40731, \n",
" 40743, 40755, 40751, 40756, 40741, 40777, 40768, 40766, 40745, 40762, 40758, 40755, 40748, 40761, 40760, 40735, 40740, 40772, 40764, \n",
" 40748, 40771, 40771, 40762, 40741, 40734, 40771, 40762, 40762, 40747, 40787, 40750, 40741, 40747, 40733, 40714, 40733, 40741, 40733, \n",
" 40719, 40718, 40719, 40742, 40760, 40755, 40724, 40744, 40759, 40753, 40749, 40760, 40764, 40685, 40695, 40736, 40748, 40735, 40758, \n",
" 40768, 40765, 40736, 40707, 40704, 40716, 40710, 40731, 40739, 40749, 40747, 40745, 40722, 40707, 40709, 40708, 40755, 40758, 40750, \n",
" 40706, 40750, 40712, 40688, 40715, 40746, 40751, 40695, 40692, 40744, 40762, 40708, 40686, 40663, 40594, 40503, 40460, 40440, 40353, \n",
" 40275, 40243, 40286, 40208, 40085, 40018, 40023, 39939, 39776, 39637, 39610, 39405, 39196, 39074, 39002, 38688, 38374, 38208, 38147, \n",
" 37685, 37249, 37064, 37068, 36581, 36102, 35950, 35932, 35392, 34905, 34828, 34794, 34209, 33767, 33680, 33703, 32874, 32091, 32106, \n",
" 32075, 31342, 30903, 30958, 30847, 30125, 29687, 29822, 29624, 28900, 28502, 28574, 28270, 27489, 27210, 27287, 26996, 26308, 26006, \n",
" 26057, 25708, 25081, 24828, 24876, 24542, 23856, 23754, 23784, 23408, 22775, 22652, 22612, 22282, 21778, 21701, 21596, 21298, 20877, \n",
" 20825, 20764, 20478, 20094, 20084, 20030, 19839, 19552, 19577, 19493, 19338, 19091, 19108, 19078, 18930, 18697, 18625, 18494, 18284, \n",
" 18036, 17961, 17868, 17668, 17444, 17349, 17281, 17270, 17239, 17195, 17181, 17145, 17096, 17135, 17114, 17107, 17079, 17051, 17021, \n",
" 17039, 17034, 17040, 17072, 17067, 17106, 17140, 17168, 17233, 17285, 17386, 17466, 17503, 17532, 17592, 17683, 17759, 17815, 18011, \n",
" 18214, 18315, 18371, 18541, 18812, 18938, 19033, 19384, 19689, 19883, 19893, 20257, 20673, 20882, 20915, 21266, 21817, 22068, 22010, \n",
" 22249, 22814, 23085, 23093, 23253, 23870, 24139, 24102, 24164, 24868, 25242, 25202, 25216, 25906, 26362, 26337, 26289, 26988, 27541, \n",
" 27579, 27502, 28098, 28794, 28888, 28766, 29235, 29970, 30115, 30011, 30366, 31072, 31247, 31079, 31357, 32133, 32511, 32267, 32806, \n",
" 33753, 34069, 33912, 34138, 34717, 35112, 35028, 35173, 35672, 36152, 36110, 36249, 36653, 37105, 37073, 37198, 37570, 38021, 38005, \n",
" 38059, 38300, 38670, 38710, 38749, 38908, 39178, 39201, 39243, 39359, 39534, 39551, 39561, 39681, 39829, 39813, 39756, 39892, 40066, \n",
" 40108, 40110, 40228, 40375, 40401, 40408, 40508, 40600, 40662, 40708, 40712, 40738, 40732, 40737, 40758, 40760, 40783, 40750, 40723, \n",
" 40730, 40723, 40740, 40711, 40704, 40706, 40738, 40741, 40677, 40691, 40705, 40722, 40683, 40673, 40711, 40730, 40703, 40707, 40725, \n",
" 40686, 40695, 40702, 40698, 40718, 40717, 40703, 40688, 40739, 40711, 40697, 40697, 40751, 40706, 40677, 40685, 40744, 40734, 40711, \n",
" 40682, 40683, 40696, 40712, 40720, 40720, 40717, 40725, 40705, 40692, 40697, 40686, 40702, 40717, 40718, 40704, 40699, 40688, 40685, \n",
" 40748, 40701, 40737, 40704, 40704, 40706, 40677, 40674, 40690, 40692, 40660, 40695, 40734, 40741, 40703, 40686, 40698, 40704, 40720, \n",
" 40745, 40720, 40684, 40714, 40738, 40728, 40739, 40692, 40706, 40751, 40740, 40709, 40684, 40704, 40724, 40682, 40688, 40706, 40737, \n",
" 40711, 40713, 40696, 40711, 40710, 40717, 40756, 40726, 40722, 40739, 40759, 40734, 40699, 40674, 40735, 40723, 40716, 40699, 40721, \n",
" 40702, 40696, 40708, 40723, 40705, 40700, 40706, 40732, 40740, 40749, 40716, 40748, 40744, 40754, 40731, 40733, 40696, 40678, 40653, \n",
" 40670, 40579, 40510, 40489, 40488, 40410, 40329, 40313, 40300, 40180, 40064, 40080, 40094, 39879, 39742, 39637, 39570, 39359, 39155, \n",
" 39092, 39004, 38616, 38324, 38187, 38044, 37515, 37224, 37113, 36923, 36404, 36042, 36014, 35784, 35195, 34875, 34865, 34644, 33998, \n",
" 33748, 33812, 33493, 32334, 31998, 32137, 31812, 31096, 30914, 31030, 30605, 29897, 29715, 29816, 29356, 28681, 28500, 28543, 28062, \n",
" 27347, 27257, 27288, 26729, 26068, 26046, 26012, 25517, 24900, 24889, 24773, 24261, 23799, 23824, 23656, 23101, 22628, 22709, 22573, \n",
" 22105, 21709, 21703, 21572, 21163, 20841, 20831, 20689, 20372, 20137, 20179, 20055, 19784, 19567, 19575, 19502, 19322, 19147, 19124, \n",
" 19071, 18869, 18669, 18616, 18458, 18192, 17991, 17928, 17789, 17619, 17477, 17399, 17340, 17310, 17269, 17310, 17264, 17253, 17231, \n",
" 17226, 17194, 17217, 17175, 17116, 17130, 17090, 17089, 17087, 17120, 17135, 17183, 17227, 17256, 17290, 17323, 17449, 17504, 17575, \n",
" 17598, 17712, 17765, 17819, 17894, 18138, 18277, 18369, 18414, 18701, 18924, 19028, 19113, 19476, 19799, 19893, 19953, 20419, 20807, \n",
" 20931, 20983, 21511, 21940, 22097, 22014, 22530, 22974, 23112, 23079, 23521, 24083, 24228, 24057, 24465, 25060, 25260, 25119, 25433, \n",
" 26153, 26422, 26286, 26500, 27250, 27598, 27479, 27667, 28431, 28864, 28755, 28874, 29525, 30123, 30029, 30061, 30640, 31206, 31123, \n",
" 31133, 31662, 32543, 32475, 32531, 33211, 34013, 34028, 33945, 34315, 34946, 35082, 35069, 35380, 35957, 36147, 36136, 36398, 36929, \n",
" 37191, 37131, 37327, 37736, 38050, 37994, 38172, 38513, 38771, 38689, 38776, 38989, 39227, 39222, 39267, 39429, 39661, 39582, 39617, \n",
" 39735, 39889, 39827, 39885, 39992, 40098, 40112, 40161, 40235, 40350, 40397, 40494, 40600, 40640, 40649, 40688, 40715, 40730, 40709, \n",
" 40726, 40715, 40678, 40696, 40710, 40701, 40721, 40705, 40672, 40664, 40634, 40633, 40523, 40524, 40539, 40455, 40349, 40294, 40230, \n",
" 40120, 40051, 39994, 40004, 39851, 39757, 39705, 39673, 39401, 39186, 39103, 39083, 38651, 38358, 38213, 38094, 37625, 37248, 37135, \n",
" 36978, 36452, 36129, 36051, 35895, 35277, 34916, 34893, 34705, 34067, 33749, 33799, 33504, 32406, 31951, 32042, 31780, 31077, 30827, \n",
" 30944, 30641, 29892, 29670, 29771, 29323, 28619, 28463, 28512, 28047, 27337, 27239, 27248, 26770, 26110, 26061, 26014, 25524, 24846, \n",
" 24817, 24749, 24279, 23748, 23764, 23638, 23184, 22682, 22710, 22564, 22126, 21704, 21740, 21552, 21193, 20855, 20852, 20723, 20409, \n",
" 20169, 20190, 20074, 19774, 19588, 19607, 19517, 19307, 19160, 19139, 19043, 18829, 18598, 18570, 18458, 18255, 18065, 17967, 17797, \n",
" 17644, 17537, 17507, 17454, 17426, 17392, 17352, 17335, 17335, 17313, 17290, 17269, 17226, 17229, 17216, 17187, 17169, 17164, 17168, \n",
" 17189, 17195, 17199, 17233, 17280, 17333, 17375, 17484, 17590, 17610, 17649, 17756, 17851, 17866, 17894, 18146, 18307, 18384, 18475, \n",
" 18739, 18974, 19057, 19144, 19552, 19782, 19927, 19999, 20462, 20816, 20964, 21006, 21498, 21912, 22063, 22038, 22531, 22981, 23181, \n",
" 23077, 23472, 24007, 24182, 24076, 24436, 25088, 25328, 25213, 25446, 26158, 26480, 26355, 26475, 27230, 27600, 27485, 27621, 28378, \n",
" 28860, 28790, 28866, 29562, 30093, 30021, 30013, 30589, 31198, 31200, 31173, 31666, 32412, 32565, 32368, 33232, 33976, 34059, 34015, \n",
" 34350, 34989, 35157, 35063, 35322, 35943, 36155, 36139, 36399, 36913, 37187, 37137, 37313, 37720, 38034, 38016, 38159, 38477, 38757, \n",
" 38723, 38795, 39013, 39253, 39228, 39296, 39455, 39662, 39545, 39576, 39720, 39794, 39776, 39837, 39949, 40084, 40089, 40121, 40216, \n",
" 40409, 40459, 40473, 40507, 40607, 40619, 40645, 40678, 40709, 40676, 40654, 40683, 40687, 40706, 40712, 40704, 40719, 40693, 40690, \n",
" 40711, 40686, 40684, 40679, 40669, 40664, 40623, 40643, 40634, 40641, 40621, 40688, 40702, 40691, 40679, 40647, 40644, 40645, 40652, \n",
" 40674, 40662, 40651, 40678, 40673, 40665, 40671, 40651, 40658, 40670, 40682, 40659, 40686, 40658, 40664, 40664, 40668, 40668, 40638, \n",
" 40654, 40651, 40661, 40655, 40666, 40652, 40664, 40701, 40680, 40662, 40690, 40673, 40690, 40669, 40655, 40665, 40684, 40695, 40697, \n",
" 40698, 40707, 40684, 40642, 40674, 40719, 40708, 40723, 40713, 40708, 40707, 40701, 40690])\n",
"d = d.reshape(-1, 16).mean(axis=1)\n",
"plt.plot(d, '-+')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "ccf1af9a-a47d-4922-84cb-5934fa5d1cd1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5ceeff3dd0>]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d_s = d.copy()\n",
"d_s.sort()\n",
"frac = 0.1\n",
"bottom = d_s[int(len(d_s)*frac)].mean()\n",
"top = d_s[int(len(d_s)*(1-frac))].mean()\n",
"middle = (top + bottom)/2\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.axhline(top, color='orange')\n",
"ax.axhline(bottom, color='orange')\n",
"ax.axhline(middle, color='orange')\n",
"ax.plot(d, '-+')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "eb350503-090c-4203-a73a-422c281479ed",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"thr_bot=26379.8875 thr_top=31163.1125\n",
"--------------0+\n",
"++++++++++++++++++++++++++++++0-\n",
"----------------------0+\n",
"++++++0-\n",
"------0+\n",
"++++++++++++++0-\n",
"--------------0+\n",
"++++++++++++++0-\n",
"------0+\n",
"++++++++++++++0-\n",
"------0+\n",
"+++++++-\n",
"------0+\n",
"++++++++"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.axhline(top, color='orange')\n",
"ax.axhline(bottom, color='orange')\n",
"ax.axhline(middle, color='orange')\n",
"ax.plot(d, '-+')\n",
"\n",
"thr_top = middle + (top - bottom) * 0.1\n",
"thr_bot = middle - (top - bottom) * 0.1\n",
"print(f'{thr_bot=} {thr_top=}')\n",
"\n",
"state = -1\n",
"run_length = 0\n",
"indices = []\n",
"for i in range(len(d)):\n",
" old_run_length = run_length\n",
" if d[i] < thr_bot:\n",
" next_state = -1\n",
" run_length = 1\n",
" print('-', end='')\n",
" elif d[i] > thr_top:\n",
" next_state = 1\n",
" run_length = 1\n",
" print('+', end='')\n",
" else:\n",
" next_state = state\n",
" run_length += 1\n",
" print('0', end='')\n",
"\n",
" if next_state != state:\n",
" color = 'red' if state == 1 else 'blue'\n",
" #ax.axvline(i - run_length/2, color=color)\n",
" slope = d[i-1] - d[i-1-old_run_length]\n",
" intersect_x = i-1 - (d[i-1] - middle) / slope\n",
" indices.append(intersect_x)\n",
" print()\n",
" ax.plot(intersect_x, middle, 'o', color=color)\n",
" state = next_state\n",
"\n",
"indices = np.array(indices)\n",
"indices = indices[1:] - indices[:-1]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "6834328b-6324-4c12-b3a5-eae619186bd9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([1., 4., 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
" 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
" 0., 0., 0., 0., 0., 0., 0., 0., 0., 4., 0., 0., 0., 0., 0., 0., 0.,\n",
" 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
" 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
" 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
" 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
" 0., 0., 0., 0., 0., 0., 0., 0., 1.]),\n",
" array([ 7.77950663, 7.96952698, 8.15954733, 8.34956768, 8.53958803,\n",
" 8.72960838, 8.91962873, 9.10964909, 9.29966944, 9.48968979,\n",
" 9.67971014, 9.86973049, 10.05975084, 10.24977119, 10.43979154,\n",
" 10.62981189, 10.81983225, 11.0098526 , 11.19987295, 11.3898933 ,\n",
" 11.57991365, 11.769934 , 11.95995435, 12.1499747 , 12.33999506,\n",
" 12.53001541, 12.72003576, 12.91005611, 13.10007646, 13.29009681,\n",
" 13.48011716, 13.67013751, 13.86015787, 14.05017822, 14.24019857,\n",
" 14.43021892, 14.62023927, 14.81025962, 15.00027997, 15.19030032,\n",
" 15.38032067, 15.57034103, 15.76036138, 15.95038173, 16.14040208,\n",
" 16.33042243, 16.52044278, 16.71046313, 16.90048348, 17.09050384,\n",
" 17.28052419, 17.47054454, 17.66056489, 17.85058524, 18.04060559,\n",
" 18.23062594, 18.42064629, 18.61066664, 18.800687 , 18.99070735,\n",
" 19.1807277 , 19.37074805, 19.5607684 , 19.75078875, 19.9408091 ,\n",
" 20.13082945, 20.32084981, 20.51087016, 20.70089051, 20.89091086,\n",
" 21.08093121, 21.27095156, 21.46097191, 21.65099226, 21.84101262,\n",
" 22.03103297, 22.22105332, 22.41107367, 22.60109402, 22.79111437,\n",
" 22.98113472, 23.17115507, 23.36117542, 23.55119578, 23.74121613,\n",
" 23.93123648, 24.12125683, 24.31127718, 24.50129753, 24.69131788,\n",
" 24.88133823, 25.07135859, 25.26137894, 25.45139929, 25.64141964,\n",
" 25.83143999, 26.02146034, 26.21148069, 26.40150104, 26.59152139,\n",
" 26.78154175, 26.9715621 , 27.16158245, 27.3516028 , 27.54162315,\n",
" 27.7316435 , 27.92166385, 28.1116842 , 28.30170456, 28.49172491,\n",
" 28.68174526, 28.87176561, 29.06178596, 29.25180631, 29.44182666,\n",
" 29.63184701, 29.82186737, 30.01188772, 30.20190807, 30.39192842,\n",
" 30.58194877, 30.77196912, 30.96198947, 31.15200982, 31.34203017,\n",
" 31.53205053, 31.72207088, 31.91209123, 32.10211158]),\n",
" <BarContainer object of 128 artists>)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(indices, bins=128)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "30ca1765-2b98-430c-a0bd-92dc101140db",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5ce719b610>]"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"intervals = np.linspace(4, 12, 100)\n",
"error = np.array([np.sqrt((((indices + ivl/2) % ivl - ivl/2)**2).mean()) for ivl in intervals])\n",
"plt.plot(intervals, error)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "73f1bfdb-8da5-4d6f-b4db-99d8fa5933c5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot([\n",
" 41237, 21231, 19384, 19308, 21035, 25576, 30490, 34826, 37934, 39826, 40879, 41215, 40525, 38355, 34899, 30317, 25014, 21446, 19566, \n",
" 19356, 20805, 25161, 30083, 34564, 37714, 39739, 40809, 41200, 40648, 38562, 35171, 30695, 25392, 21630, 19693, 19396, 20627, 24785, 29695, \n",
" 34262, 37531, 39627, 40727, 41187, 40677, 38808, 35468, 31116, 25798, 21834, 19802, 19389, 20435, 24393, 29317, 33970, 37289, 39535, 40664, \n",
" 41208, 41195, 41217, 41217, 41198, 41238, 41247, 41252, 41219, 40802, 39159, 35898, 31646, 26387, 22171, 19881, 19278, 20136, 23802, 28781, \n",
" 33450, 37018, 39346, 40524, 41207, 40863, 39332, 36193, 32064, 26847, 22402, 20057, 19385, 20006, 23423, 28416, 33173, 36735, 39178, 40447, \n",
" 41183, 40922, 39535, 36438, 32432, 27240, 22658, 20174, 19437, 19954, 23057, 28037, 32772, 36527, 39028, 40374, 41157, 40968, 39727, 36742, \n",
" 32799, 27663, 22920, 20361, 19461, 19844, 22703, 27642, 32431, 36231, 38868, 40292, 41123, 41008, 39878, 37009, 33195, 28092, 23229, 20464, \n",
" 19489, 19292, 19207, 19146, 19084, 19053, 19032, 18995, 18981, 19479, 22135, 27037, 31896, 35941, 38578, 40157, 41147, 41098, 40128, 37396, \n",
" 33664, 28718, 23678, 20692, 19247, 19492, 21836, 26656, 31532, 35656, 38448, 40088, 41055, 41130, 40229, 37646, 34022, 29162, 23994, 20865, \n",
" 19430, 19461, 21547, 26271, 31156, 35391, 38299, 40003, 41009, 41215, 41218, 41220, 41218])\n",
"a = [24743, 56000, 89082, 120000, 153402, 184000, 217701, 280000, 314154, 344000, 378769, 408000, 443070, 472000, 507403, 540000, 603826, \n",
" 636000, 668124, 700000, 732407, 100, 108, 116][:21]\n",
"a = np.array(a)\n",
"for i in a:\n",
" plt.axvline(i/(32*125), color='orange')\n",
"ds = a[1:] - a[:-1]\n",
"ds = np.array([ d / round(d / 30000) for d in ds ])"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "5d16c10a-e7a9-4bdc-a58d-d89426eaf3cf",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.00718984375"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ds)\n",
"ds.mean() / 125 / 16 / 16"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "fbf9f80d-4c73-46d7-8a85-b36dccec4a7d",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
|