In [1]: import numpy.random\n \n In [2]: rng = np.random.default_rng()\n \n In [3]: %timeit -n 1 rng.standard_normal(100000)\n ...: %timeit -n 1 numpy.random.standard_normal(100000)\n ...: \n-4.44 ms +- 77.1 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n-6.21 ms +- 17.7 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n+6.82 ms +- 140 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n+16.9 ms +- 4.1 ms per loop (mean +- std. dev. of 7 runs, 1 loop each)\n In [4]: %timeit -n 1 rng.standard_exponential(100000)\n ...: %timeit -n 1 numpy.random.standard_exponential(100000)\n ...: \n-3.76 ms +- 16.7 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n-5.86 ms +- 26.7 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n+5.62 ms +- 147 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n+16.2 ms +- 204 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n In [5]: %timeit -n 1 rng.standard_gamma(3.0, 100000)\n ...: %timeit -n 1 numpy.random.standard_gamma(3.0, 100000)\n ...: \n-12.3 ms +- 15.3 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n-14.2 ms +- 20.2 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n+28.5 ms +- 178 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n+33.4 ms +- 211 us per loop (mean +- std. dev. of 7 runs, 1 loop each)\n integers is now the canonical way to generate integer\n random numbers from a discrete uniform distribution. This replaces both\n randint and the deprecated random_integers.
The rand and randn methods are only available through the legacy\n@@ -571,21 +571,21 @@\n
Standard Exponentials (standard_exponential)
In [6]: rng = np.random.default_rng()\n \n In [7]: rng.random(3, dtype=np.float64)\n-Out[7]: array([0.47787383, 0.78327068, 0.79074583])\n+Out[7]: array([0.52142238, 0.27307693, 0.16662583])\n \n In [8]: rng.random(3, dtype=np.float32)\n-Out[8]: array([0.8278483 , 0.06296438, 0.01827687], dtype=float32)\n+Out[8]: array([0.4137339 , 0.36163253, 0.53980225], dtype=float32)\n \n In [9]: rng.integers(0, 256, size=3, dtype=np.uint8)\n-Out[9]: array([233, 177, 73], dtype=uint8)\n+Out[9]: array([ 52, 142, 171], dtype=uint8)\n Optional out argument that allows existing arrays to be filled for\n select distributions
Uniforms (random)
In [10]: rng = np.random.default_rng()\n \n In [11]: existing = np.zeros(4)\n \n In [12]: rng.random(out=existing[:2])\n-Out[12]: array([0.69242368, 0.60935161])\n+Out[12]: array([0.36011562, 0.70817669])\n \n In [13]: print(existing)\n-[0.69242368 0.60935161 0. 0. ]\n+[0.36011562 0.70817669 0. 0. ]\n Optional axis argument for methods like choice,\n permutation and shuffle that controls which\n axis an operation is performed over for multi-dimensional arrays.
Added a method to sample from the complex normal distribution\n (complex_normal)
With the legacy polynomial module, a linear fit (i.e. polynomial of degree 1)\n could be applied to these data with polyfit:
In [4]: np.polyfit(x, y, deg=1)\n-Out[4]: array([1.04049332, 0.25546594])\n+Out[4]: array([0.94495158, 0.4044994 ])\n With the new polynomial API, the fit\n class method is preferred:
In [5]: p_fitted = np.polynomial.Polynomial.fit(x, y, deg=1)\n \n In [6]: p_fitted\n-Out[6]: Polynomial([4.9376859 , 4.68221996], domain=[0., 9.], window=[-1., 1.], symbol='x')\n+Out[6]: Polynomial([4.65678152, 4.25228213], domain=[0., 9.], window=[-1., 1.], symbol='x')\n Note that the coefficients are given in the scaled domain defined by the\n linear mapping between the window and domain.\n convert can be used to get the\n coefficients in the unscaled data domain.
In [7]: p_fitted.convert()\n-Out[7]: Polynomial([0.25546594, 1.04049332], domain=[-1., 1.], window=[-1., 1.], symbol='x')\n+Out[7]: Polynomial([0.4044994 , 0.94495158], domain=[-1., 1.], window=[-1., 1.], symbol='x')\n polynomial package#In addition to standard power series polynomials, the polynomial package\n", "details": [{"source1": "html2text {}", "source2": "html2text {}", "unified_diff": "@@ -150,26 +150,26 @@\n \n In [2]: x = np.arange(10)\n \n In [3]: y = np.arange(10) + rng.standard_normal(10)\n With the legacy polynomial module, a linear fit (i.e. polynomial of degree 1)\n could be applied to these data with _\bp_\bo_\bl_\by_\bf_\bi_\bt:\n In [4]: np.polyfit(x, y, deg=1)\n-Out[4]: array([1.04049332, 0.25546594])\n+Out[4]: array([0.94495158, 0.4044994 ])\n With the new polynomial API, the _\bf_\bi_\bt class method is preferred:\n In [5]: p_fitted = np.polynomial.Polynomial.fit(x, y, deg=1)\n \n In [6]: p_fitted\n-Out[6]: Polynomial([4.9376859 , 4.68221996], domain=[0., 9.], window=[-1.,\n+Out[6]: Polynomial([4.65678152, 4.25228213], domain=[0., 9.], window=[-1.,\n 1.], symbol='x')\n Note that the coefficients are given i\bin\bn t\bth\bhe\be s\bsc\bca\bal\ble\bed\bd d\bdo\bom\bma\bai\bin\bn defined by the linear\n mapping between the window and domain. _\bc_\bo_\bn_\bv_\be_\br_\bt can be used to get the\n coefficients in the unscaled data domain.\n In [7]: p_fitted.convert()\n-Out[7]: Polynomial([0.25546594, 1.04049332], domain=[-1., 1.], window=[-1.,\n+Out[7]: Polynomial([0.4044994 , 0.94495158], domain=[-1., 1.], window=[-1.,\n 1.], symbol='x')\n *\b**\b**\b**\b**\b* D\bDo\boc\bcu\bum\bme\ben\bnt\bta\bat\bti\bio\bon\bn f\bfo\bor\br t\bth\bhe\be _\bp\bp_\bo\bo_\bl\bl_\by\by_\bn\bn_\bo\bo_\bm\bm_\bi\bi_\ba\ba_\bl\bl p\bpa\bac\bck\bka\bag\bge\be_\b#\b# *\b**\b**\b**\b**\b*\n In addition to standard power series polynomials, the polynomial package\n provides several additional kinds of polynomials including Chebyshev, Hermite\n (two subtypes), Laguerre, and Legendre polynomials. Each of these has an\n associated c\bco\bon\bnv\bve\ben\bni\bie\ben\bnc\bce\be c\bcl\bla\bas\bss\bs available from the _\bn_\bu_\bm_\bp_\by_\b._\bp_\bo_\bl_\by_\bn_\bo_\bm_\bi_\ba_\bl namespace that\n provides a consistent interface for working with polynomials regardless of\n"}]}, {"source1": "./usr/share/doc/python-numpy/html/searchindex.js", "source2": "./usr/share/doc/python-numpy/html/searchindex.js", "unified_diff": null, "details": [{"source1": "js-beautify {}", "source2": "js-beautify {}", "unified_diff": "@@ -32296,15 +32296,14 @@\n \"012\": [1600, 1657, 1714, 1771, 1828, 1884],\n \"0123456789\": [312, 2130],\n \"01280782\": [2332, 2375, 2422],\n \"016\": [647, 652],\n \"01652764\": 2627,\n \"01666667\": 1542,\n \"016j\": 2103,\n- \"01827687\": 2458,\n \"01831564\": 1658,\n \"018318\": [2350, 2397, 2447],\n \"01j\": 523,\n \"01t00\": [55, 62, 370, 2522],\n \"01t08\": 2522,\n \"01t12\": 55,\n \"02\": [54, 55, 156, 171, 172, 419, 556, 575, 668, 1333, 1584, 1599, 1656, 1713, 1770, 1814, 1827, 1883, 2102],\n@@ -32327,15 +32326,14 @@\n \"03703704\": 1807,\n \"03943254e\": 2102,\n \"03968254\": [1112, 1541],\n \"0396842\": 679,\n \"03t13\": 55,\n \"04\": [54, 55, 173, 419, 556, 1584, 2460, 2591, 2651],\n \"0400\": 369,\n- \"04049332\": 2485,\n \"04097352\": 2627,\n \"04166667\": [1542, 1583],\n \"04211c6\": 2518,\n \"04551152e\": 2102,\n \"04719755\": 1909,\n \"05\": [55, 100, 172, 419, 557, 668, 895, 1094, 1869, 2081, 2171, 2350, 2397, 2447],\n \"0500\": 369,\n@@ -32344,15 +32342,14 @@\n \"05263157894736836\": 2254,\n \"0549999999999997\": 2081,\n \"055\": 2081,\n \"0596779\": 1152,\n \"06\": [55, 575, 2081, 2505],\n \"0614962j\": [448, 462],\n \"0625\": [87, 427, 1643],\n- \"06296438\": 2458,\n \"06369197489564249\": 2455,\n \"06381726\": 358,\n \"0660\": [311, 2129],\n \"06959433e\": [429, 946],\n \"07\": [55, 173, 556, 895, 896, 1333, 2168, 2505],\n \"07106781e\": 523,\n \"07407407\": 1807,\n@@ -32755,15 +32752,15 @@\n \"13905\": 2549,\n \"13933\": 2549,\n \"13984\": 2549,\n \"13994\": 2549,\n \"13d7934\": 13,\n \"13j\": 1913,\n \"14\": [9, 47, 54, 55, 56, 57, 58, 59, 107, 116, 117, 123, 149, 150, 151, 279, 375, 376, 384, 445, 469, 485, 494, 495, 522, 539, 551, 553, 555, 575, 644, 649, 654, 668, 879, 892, 904, 962, 967, 968, 1068, 1082, 1142, 1149, 1228, 1245, 1310, 1464, 1563, 1575, 1584, 1693, 1702, 1709, 1756, 1762, 1865, 1871, 1984, 2084, 2087, 2089, 2113, 2203, 2204, 2206, 2207, 2208, 2220, 2222, 2223, 2235, 2238, 2243, 2330, 2335, 2339, 2374, 2378, 2382, 2421, 2425, 2429, 2454, 2458, 2460, 2487, 2510, 2516, 2528, 2539, 2540, 2541, 2542, 2543, 2544, 2550, 2551, 2556, 2557, 2558, 2563, 2569, 2573, 2580, 2581, 2582, 2583, 2585, 2588, 2593, 2596, 2597, 2619, 2624, 2627, 2630, 2633, 2637, 2645, 2649, 2651, 2658],\n- \"140\": [2236, 2573],\n+ \"140\": [2236, 2458, 2573],\n \"14022471\": [2384, 2431],\n \"14036\": 2557,\n \"14039\": 2557,\n \"14042\": 2549,\n \"14043\": 2549,\n \"14044\": 2549,\n \"14045\": 2549,\n@@ -32797,15 +32794,15 @@\n \"14162\": 2549,\n \"14166\": 2552,\n \"14181\": 2557,\n \"14194\": 2552,\n \"14197\": 2557,\n \"14198\": 2552,\n \"14199\": 2552,\n- \"142\": 654,\n+ \"142\": [654, 2458],\n \"14200\": 2552,\n \"14201\": 2552,\n \"14211\": 2550,\n \"14227\": 2557,\n \"14228\": 2552,\n \"14236\": 2552,\n \"14237\": 2552,\n@@ -32882,14 +32879,15 @@\n \"14644661\": 1754,\n \"14673309e\": 2658,\n \"14682\": 2557,\n \"14686\": 2550,\n \"14687\": 2554,\n \"14692469\": 2627,\n \"146925\": 2627,\n+ \"147\": 2458,\n \"14717\": 2557,\n \"14718\": 2557,\n \"14720\": 2557,\n \"14730\": 2557,\n \"14758\": 2555,\n \"14771\": 2557,\n \"14777\": 2557,\n@@ -33073,14 +33071,15 @@\n \"16594\": 2569,\n \"166\": [674, 2460],\n \"16649\": 2564,\n \"16650\": 2569,\n \"16652\": 2564,\n \"16654\": 2564,\n \"16656\": 2564,\n+ \"16662583\": 2458,\n \"166659832\": [849, 1029],\n \"16666667\": [1524, 1542, 1757, 1869],\n \"166670640\": [849, 1029],\n \"166691080\": [849, 1029],\n \"16672\": 2564,\n \"16675\": 2569,\n \"16693\": 2564,\n@@ -33126,15 +33125,15 @@\n \"17000\": 2565,\n \"17010\": 2569,\n \"17015\": 2565,\n \"17022005e\": 54,\n \"17029\": 2569,\n \"17067\": 2569,\n \"17068\": 2569,\n- \"171\": 2460,\n+ \"171\": [2458, 2460],\n \"17116\": 2569,\n \"17123\": 2569,\n \"17125\": 2565,\n \"17150989\": 2627,\n \"171510\": 2627,\n \"17157288\": [641, 643],\n \"17195\": 2569,\n@@ -33175,26 +33174,26 @@\n \"176\": 2460,\n \"17647\": 2566,\n \"17652\": 2566,\n \"17653\": 2566,\n \"17660\": 2566,\n \"17679\": 2567,\n \"17680\": 2567,\n- \"177\": [523, 575, 679, 2458, 2651],\n+ \"177\": [523, 575, 679, 2651],\n \"17706\": 2569,\n \"17709\": 2585,\n \"17711\": 28,\n \"17727\": 2573,\n \"1774\": [2326, 2370, 2417],\n \"17756\": 2568,\n \"1776\": 2609,\n \"17774\": 2568,\n \"17775\": 2568,\n \"17786\": 2568,\n- \"178\": 575,\n+ \"178\": [575, 2458],\n \"17843\": [2573, 2580],\n \"17900\": 2573,\n \"17917\": 2568,\n \"17918\": 2568,\n \"17919\": 2568,\n \"17921\": 2573,\n \"17924\": 2568,\n@@ -33459,15 +33458,15 @@\n \"1j\": [47, 59, 82, 83, 88, 95, 103, 112, 113, 124, 135, 138, 225, 256, 352, 353, 359, 361, 422, 423, 428, 440, 453, 455, 458, 523, 547, 558, 569, 624, 640, 641, 643, 653, 658, 929, 1110, 1111, 1160, 1194, 1198, 1215, 1280, 1297, 1434, 1451, 1516, 1639, 1696, 1753, 1890, 1912, 1954, 1971, 2103, 2106, 2110, 2165, 2471, 2580, 2657, 2658],\n \"1l_0\": 1820,\n \"1rc1\": 586,\n \"1st\": [36, 74, 641, 2613, 2629, 2633],\n \"1type\": 2551,\n \"1xn\": 2657,\n \"2\": [0, 1, 2, 4, 5, 9, 12, 13, 14, 19, 20, 24, 25, 26, 29, 30, 31, 32, 34, 36, 37, 38, 43, 47, 48, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 65, 66, 68, 69, 70, 72, 73, 74, 75, 76, 79, 80, 81, 82, 84, 85, 86, 87, 88, 95, 97, 98, 99, 104, 105, 106, 107, 108, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 172, 176, 177, 178, 179, 180, 185, 186, 193, 194, 195, 203, 205, 213, 219, 222, 223, 224, 236, 238, 243, 247, 248, 260, 270, 271, 272, 273, 279, 287, 289, 293, 296, 299, 302, 310, 312, 324, 325, 337, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 398, 399, 403, 405, 407, 409, 410, 413, 417, 418, 419, 420, 421, 422, 424, 425, 426, 427, 428, 429, 430, 431, 432, 434, 440, 441, 442, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 469, 470, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 486, 487, 488, 489, 491, 492, 495, 496, 497, 498, 522, 523, 524, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 547, 548, 549, 550, 551, 552, 553, 554, 555, 558, 561, 562, 563, 564, 567, 568, 569, 572, 573, 574, 575, 576, 578, 579, 580, 581, 582, 583, 584, 590, 591, 600, 602, 604, 606, 608, 610, 616, 627, 634, 635, 636, 637, 638, 639, 640, 641, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 678, 679, 750, 818, 819, 821, 822, 823, 824, 825, 826, 829, 830, 833, 834, 835, 839, 842, 843, 846, 849, 851, 852, 853, 854, 855, 856, 857, 858, 859, 862, 863, 864, 867, 869, 872, 873, 874, 876, 879, 880, 883, 885, 886, 887, 890, 892, 894, 899, 900, 902, 903, 904, 905, 906, 907, 908, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 923, 924, 925, 926, 927, 928, 929, 931, 932, 933, 934, 935, 936, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 951, 954, 955, 956, 957, 958, 959, 960, 962, 963, 965, 966, 967, 968, 970, 971, 972, 973, 974, 975, 976, 977, 984, 985, 987, 988, 989, 991, 992, 994, 995, 996, 998, 1001, 1002, 1005, 1006, 1007, 1010, 1013, 1014, 1017, 1019, 1022, 1026, 1028, 1029, 1031, 1032, 1034, 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\"2002\": [55, 369, 2313, 2320, 2350, 2358, 2364, 2397, 2405, 2411, 2447],\n@@ -33530,14 +33529,15 @@\n \"20300\": 2577,\n \"20302\": 2577,\n \"20314\": 2580,\n \"20324493e\": 54,\n \"2033\": 2609,\n \"20357\": 2578,\n \"20394\": 2585,\n+ \"204\": 2458,\n \"20414\": 2585,\n \"2045\": 2609,\n \"2046\": 2609,\n \"20462\": 2578,\n \"20463\": 2578,\n \"20464\": 2578,\n \"20465\": 2578,\n@@ -33610,21 +33610,21 @@\n \"20985\": 2582,\n \"20986\": 2582,\n \"20992\": 2582,\n \"20993\": 2585,\n \"20_ver\": 0,\n \"20count\": 150,\n \"20d03bcfd\": 0,\n- \"21\": [21, 26, 28, 30, 31, 40, 47, 54, 55, 58, 74, 107, 171, 172, 279, 345, 366, 368, 386, 397, 405, 412, 485, 486, 627, 668, 879, 904, 943, 1068, 1228, 1310, 1464, 1867, 1879, 1984, 2089, 2170, 2206, 2223, 2235, 2236, 2339, 2340, 2458, 2460, 2510, 2512, 2514, 2516, 2564, 2565, 2569, 2580, 2582, 2585, 2591, 2624, 2625, 2627, 2629, 2633, 2634, 2641, 2646, 2649, 2657, 2658, 2660],\n+ \"21\": [21, 26, 28, 30, 31, 40, 47, 54, 55, 58, 74, 107, 171, 172, 279, 345, 366, 368, 386, 397, 405, 412, 485, 486, 627, 668, 879, 904, 943, 1068, 1228, 1310, 1464, 1867, 1879, 1984, 2089, 2170, 2206, 2223, 2235, 2236, 2339, 2340, 2460, 2510, 2512, 2514, 2516, 2564, 2565, 2569, 2580, 2582, 2585, 2591, 2624, 2625, 2627, 2629, 2633, 2634, 2641, 2646, 2649, 2657, 2658, 2660],\n \"210\": 372,\n \"21001\": 2585,\n \"21029\": 2585,\n \"210306068529402873165736369884012333109\": [2272, 2277],\n \"21048\": 2583,\n- \"211\": 2488,\n+ \"211\": [2458, 2488],\n \"21106\": 2583,\n \"21120\": 2596,\n \"21130\": 2585,\n \"21137\": 2583,\n \"21138\": 2583,\n \"21139\": 2583,\n \"21140\": 2583,\n@@ -33875,15 +33875,15 @@\n \"23208\": 2594,\n \"23221\": 2594,\n \"23226\": 2594,\n \"23229\": 2596,\n \"23240\": 2596,\n \"23275\": 2596,\n \"23297648\": 358,\n- \"233\": [28, 2458, 2460],\n+ \"233\": [28, 2460],\n \"23302\": 2596,\n \"23314\": 2596,\n \"23322\": 2596,\n \"23341\": 2594,\n \"23342\": 2594,\n \"23343\": 2594,\n \"23344\": 2594,\n@@ -34176,14 +34176,15 @@\n \"25203\": 2602,\n \"25204\": 2602,\n \"25205\": 2602,\n \"25217\": 2602,\n \"25218\": 2602,\n \"25219\": 2602,\n \"25227\": 2602,\n+ \"25228213\": 2485,\n \"25233\": 2619,\n \"25240\": 2602,\n \"25249\": 2602,\n \"25255\": 2619,\n \"25271\": 2619,\n \"25276297\": 2647,\n \"25292\": 2619,\n@@ -34225,15 +34226,14 @@\n \"25495\": 2619,\n \"255\": [62, 149, 152, 153, 296, 379, 497, 579, 598, 942, 1240, 1322, 1476, 1996, 2301, 2596, 2610, 2619, 2658],\n \"25523\": 2603,\n \"25528411\": [2384, 2431],\n \"25531\": 2619,\n \"25536\": 2619,\n \"25539\": 2603,\n- \"25546594\": 2485,\n \"25553\": 2619,\n \"25557246e\": 447,\n \"25570\": 2619,\n \"25584\": 2603,\n \"25585\": 2603,\n \"25599\": 2603,\n \"256\": [69, 87, 195, 296, 342, 427, 447, 523, 826, 998, 1171, 1240, 1257, 1322, 1412, 1476, 1931, 1996, 2156, 2287, 2300, 2301, 2458, 2459, 2610, 2629, 2642],\n@@ -34273,15 +34273,15 @@\n \"25914\": 2619,\n \"25943\": 2619,\n \"25954\": 2619,\n \"25d0\": 32,\n \"25j\": 2651,\n \"25t03\": 55,\n \"25x\": 147,\n- \"26\": [21, 29, 30, 40, 50, 54, 55, 58, 63, 79, 155, 892, 943, 1082, 1142, 1345, 1347, 2113, 2202, 2206, 2238, 2307, 2330, 2374, 2421, 2458, 2510, 2516, 2531, 2533, 2534, 2574, 2596, 2598, 2619, 2622, 2633, 2649, 2650, 2658],\n+ \"26\": [21, 29, 30, 40, 50, 54, 55, 58, 63, 79, 155, 892, 943, 1082, 1142, 1345, 1347, 2113, 2202, 2206, 2238, 2307, 2330, 2374, 2421, 2510, 2516, 2531, 2533, 2534, 2574, 2596, 2598, 2619, 2622, 2633, 2649, 2650, 2658],\n \"260\": [171, 1326, 2236, 2573, 2658],\n \"26064346e\": 156,\n \"26081\": 2622,\n \"26103\": 2622,\n \"26137788e\": 2102,\n \"26157\": 2622,\n \"262\": 2658,\n@@ -34376,14 +34376,15 @@\n \"27267\": 2623,\n \"27276\": 2623,\n \"27278\": 2623,\n \"27279\": 2621,\n \"27287\": 2623,\n \"27303\": 2623,\n \"27304\": 2623,\n+ \"27307693\": 2458,\n \"27333\": 2624,\n \"27400\": 2624,\n \"27406\": 2624,\n \"27416\": 2624,\n \"27433\": 2624,\n \"27437\": 2624,\n \"27439\": 2624,\n@@ -34427,15 +34428,15 @@\n \"27t00\": 369,\n \"27t01\": 369,\n \"27t02\": 369,\n \"27t04\": 369,\n \"27t05\": 369,\n \"27t06\": 369,\n \"27t07\": 369,\n- \"28\": [36, 54, 55, 155, 418, 1693, 1702, 1705, 1860, 2206, 2223, 2460, 2510, 2535, 2536, 2537, 2540, 2633, 2641, 2649, 2651, 2658],\n+ \"28\": [36, 54, 55, 155, 418, 1693, 1702, 1705, 1860, 2206, 2223, 2458, 2460, 2510, 2535, 2536, 2537, 2540, 2633, 2641, 2649, 2651, 2658],\n \"28000000e\": 1333,\n \"2800000e\": 1333,\n \"2801\": 2610,\n \"281\": 2460,\n \"2826\": [296, 1240, 1322, 1476, 1996],\n \"28293632\": 99,\n \"2829785\": 1153,\n@@ -34563,15 +34564,15 @@\n \"3263\": 2614,\n \"32767\": 544,\n \"32768\": 544,\n \"32_767\": 62,\n \"32_768\": 62,\n \"32bit\": [50, 61, 62, 2361, 2374, 2376, 2385, 2408, 2421, 2423, 2432, 2514, 2569, 2586],\n \"32x\": 2580,\n- \"33\": [54, 58, 153, 345, 837, 938, 940, 1009, 1905, 1920, 1997, 2171, 2173, 2174, 2206, 2300, 2510, 2618, 2629, 2633, 2649, 2658],\n+ \"33\": [54, 58, 153, 345, 837, 938, 940, 1009, 1905, 1920, 1997, 2171, 2173, 2174, 2206, 2300, 2458, 2510, 2618, 2629, 2633, 2649, 2658],\n \"330\": 372,\n \"3301\": 2612,\n \"330m\": 418,\n \"3312\": 2612,\n \"3324\": [13, 2612],\n \"333\": [651, 949, 2171],\n \"33333\": [2171, 2173],\n@@ -34614,17 +34615,19 @@\n \"3504\": 2614,\n \"3534857623790153\": 665,\n \"35355339\": 1634,\n \"3541\": 2612,\n \"35489284e\": 2102,\n \"36\": [58, 146, 364, 1750, 1759, 2202, 2223, 2320, 2364, 2411, 2460, 2488, 2533, 2641, 2649, 2651, 2658],\n \"360\": [553, 2101, 2236, 2573],\n+ \"36011562\": 2458,\n \"36045180e\": 156,\n \"3608\": 2612,\n \"361\": [1342, 1344, 1520, 1906],\n+ \"36163253\": 2458,\n \"362\": 12,\n \"3628523\": 2455,\n \"36363636\": 145,\n \"3644j\": [84, 424],\n \"365\": [553, 1342, 1344, 1520, 1906],\n \"366\": 55,\n \"36674\": 2096,\n@@ -34696,27 +34699,29 @@\n \"4007\": 2617,\n \"40077\": [1642, 1654],\n \"400e\": 2650,\n \"4018\": [2612, 2614],\n \"4024\": 2614,\n \"4027\": 2614,\n \"40274501\": 1153,\n+ \"4044994\": 2485,\n \"4051\": [2612, 2614],\n \"409\": 2460,\n \"40918587e\": 2102,\n \"40919914\": 2658,\n \"4093\": 2614,\n \"4094\": [2612, 2614],\n \"4096\": [72, 2090],\n \"41\": [940, 1113, 1122, 1123, 1130, 1911, 2102, 2105, 2206, 2234, 2582, 2649, 2658],\n \"4109\": 2614,\n \"41211849\": 2658,\n \"4123\": [2612, 2614],\n \"4134\": 2614,\n \"41357986e\": 2173,\n+ \"4137339\": 2458,\n \"4138\": 2614,\n \"4141\": 2612,\n \"41421356\": [652, 1754, 2658],\n \"4142135623730951\": [59, 636],\n \"4142135623730951j\": 59,\n \"41421356j\": 1525,\n \"4144\": 2614,\n@@ -34762,15 +34767,15 @@\n \"4354\": 2614,\n \"4359\": 2614,\n \"4368\": [296, 1240, 1322, 1476, 1996],\n \"4375\": 2488,\n \"43857224\": 1152,\n \"43887844\": [358, 2454, 2631],\n \"43999999999998\": 1113,\n- \"44\": [16, 1523, 1756, 1903, 1905, 1920, 2206, 2458, 2460, 2621, 2649, 2650, 2651, 2658],\n+ \"44\": [16, 1523, 1756, 1903, 1905, 1920, 2206, 2460, 2621, 2649, 2650, 2651, 2658],\n \"440\": [10, 2517],\n \"4400\": [418, 660, 2166],\n \"44069024\": 358,\n \"4408\": 2614,\n \"44089210e\": 1525,\n \"4408921e\": [1763, 2173],\n \"4409e\": 2089,\n@@ -34835,15 +34840,14 @@\n \"4723\": 2618,\n \"4730\": [418, 660, 2166],\n \"4733\": 2615,\n \"47458546\": 358,\n \"47536961\": 358,\n \"47613949\": [2332, 2375, 2422],\n \"4774\": 2615,\n- \"47787383\": 2458,\n \"479\": 2617,\n \"4796\": [418, 660, 2166],\n \"48\": [58, 279, 364, 879, 1068, 1141, 1228, 1310, 1464, 1865, 1984, 2206, 2237, 2320, 2364, 2411, 2649, 2651],\n \"480\": [247, 857, 1040, 1206, 1288, 1442, 1962],\n \"4800\": 57,\n \"48000000\": 2627,\n \"4809319\": 1152,\n@@ -34923,16 +34927,17 @@\n \"51658839e\": 1584,\n \"517\": 10,\n \"5170\": 2617,\n \"5184\": 2617,\n \"51851852\": 1807,\n \"519928\": 2627,\n \"51992837\": 2627,\n- \"52\": [10, 50, 62, 466, 1636, 1645, 1648, 2202, 2206, 2551, 2627, 2633, 2640, 2649, 2651, 2652, 2658],\n+ \"52\": [10, 50, 62, 466, 1636, 1645, 1648, 2202, 2206, 2458, 2551, 2627, 2633, 2640, 2649, 2651, 2652, 2658],\n \"5203\": 2617,\n+ \"52142238\": 2458,\n \"5225\": 2617,\n \"5231\": 2617,\n \"52338984\": [2342, 2388, 2436],\n \"52359878\": 1909,\n \"52380952e\": 1814,\n \"5240\": 2617,\n \"5251\": 2617,\n@@ -34951,14 +34956,15 @@\n \"536870910\": 1900,\n \"5374\": 2618,\n \"53814331\": 2658,\n \"5388\": 2618,\n \"5390\": 2618,\n \"5393\": 2618,\n \"5396\": [296, 1240, 1322, 1476, 1996],\n+ \"53980225\": 2458,\n \"54\": [38, 59, 532, 1636, 1709, 1762, 2206, 2634, 2649],\n \"540\": [2236, 2573],\n \"54030231\": 2658,\n \"54030231j\": 2658,\n \"541\": 2460,\n \"54117\": 1642,\n \"5424\": 2618,\n@@ -35043,29 +35049,28 @@\n \"6019\": 2519,\n \"60393245\": 659,\n \"60546483\": 532,\n \"60663578\": 2627,\n \"607\": [2336, 2379, 2426],\n \"60860684e\": 1592,\n \"609\": 2580,\n- \"60935161\": 2458,\n \"6094\": 2519,\n \"60x\": 2596,\n \"61\": [13, 2649],\n \"610\": 28,\n \"61119\": 2096,\n \"614064523559687\": 2113,\n \"6143849206349179\": [1112, 1541],\n \"6176\": [108, 905],\n \"61799388\": 1909,\n \"618\": 668,\n \"6180\": [2350, 2397, 2447],\n \"61988120985\": [2320, 2364, 2411],\n \"61c54bbd\": 42,\n- \"62\": [551, 967, 968, 2320, 2330, 2364, 2374, 2411, 2421, 2649],\n+ \"62\": [551, 967, 968, 2320, 2330, 2364, 2374, 2411, 2421, 2458, 2649],\n \"6208\": 2519,\n \"6227766\": 523,\n \"623\": [2391, 2441],\n \"62318272\": [2316, 2360, 2407],\n \"62341325\": 523,\n \"62374854\": 2658,\n \"624\": [2297, 2367, 2391, 2414, 2441, 2459],\n@@ -35129,14 +35134,15 @@\n \"65535\": [593, 2616, 2619],\n \"6556\": 2519,\n \"6558\": 2519,\n \"6562\": 2519,\n \"6563\": 2519,\n \"6566128774142013e\": 652,\n \"6567\": 2519,\n+ \"65678152\": 2485,\n \"65685425\": 2651,\n \"6569\": 2519,\n \"6569866\": 2658,\n \"6572\": 2519,\n \"6574\": 2519,\n \"65745445\": [97, 110],\n \"6575\": 2519,\n@@ -35203,28 +35209,26 @@\n \"6805\": [2350, 2397, 2447],\n \"6807\": 2519,\n \"68080986\": 358,\n \"6813\": 2519,\n \"6817\": 2519,\n \"6819\": 2519,\n \"68206631e\": 2102,\n- \"68221996\": 2485,\n \"684\": [2460, 2569],\n \"6840\": 2521,\n \"6843\": 2521,\n \"68456316\": [2336, 2349, 2379, 2386, 2396, 2426, 2433, 2446],\n \"68482974\": 1152,\n \"6884\": 2521,\n \"68862757\": 659,\n \"6888893\": [2349, 2396, 2446],\n \"69\": [58, 440, 2649, 2658],\n \"6916\": 2521,\n \"6922\": 2521,\n \"6924\": 2521,\n- \"69242368\": 2458,\n \"69312169\": [1112, 1541],\n \"69314718\": [76, 656, 2647],\n \"69314718055994529\": 656,\n \"6931471805599453\": 2254,\n \"6937\": 2521,\n \"6942\": 2521,\n \"6943\": 2521,\n@@ -35247,14 +35251,15 @@\n \"701\": 2460,\n \"703\": 2622,\n \"7054\": 2532,\n \"706\": 529,\n \"70710678\": [225, 256, 640, 1198, 1215, 1280, 1297, 1434, 1451, 1634, 1640, 1954, 1971, 2101],\n \"70710678118654746\": 636,\n \"70710678j\": 640,\n+ \"70817669\": 2458,\n \"7083\": 2526,\n \"71\": [363, 649, 2457, 2649],\n \"71080601\": 2651,\n \"71238898\": 1909,\n \"71387850e\": 1584,\n \"718281\": 440,\n \"71828182845904523536028747135266249775724709369995\": 76,\n@@ -35272,15 +35277,15 @@\n \"72686684e\": 575,\n \"72717132\": 2651,\n \"72727273\": 145,\n \"72847407\": 1153,\n \"729\": 2658,\n \"72904971\": 1152,\n \"72949656\": 2627,\n- \"73\": [2458, 2460, 2649],\n+ \"73\": [2460, 2649],\n \"7320508075688772j\": 59,\n \"73472348e\": 1814,\n \"73496154e\": 1865,\n \"73603959e\": 2658,\n \"73799541\": 1152,\n \"74\": [2460, 2510, 2511, 2649],\n \"74000000\": 2627,\n@@ -35309,15 +35314,15 @@\n \"7568025\": 2658,\n \"75682846\": 2651,\n \"7578\": 2523,\n \"7590\": 2523,\n \"75958653\": 1909,\n \"7597\": 2523,\n \"75j\": 2651,\n- \"76\": [550, 1895, 2458, 2460, 2649, 2651],\n+ \"76\": [550, 1895, 2460, 2649, 2651],\n \"7608\": 2523,\n \"7611397\": [358, 2454, 2631],\n \"76190476e\": 1814,\n \"76322758\": 1153,\n \"7638\": 2523,\n \"76425276e\": 1148,\n \"76492172\": 358,\n@@ -35328,15 +35333,15 @@\n \"7670\": 2523,\n \"7671\": 2523,\n \"7676\": 2523,\n \"7680\": 2523,\n \"769893\": 2627,\n \"76989341\": 2627,\n \"76991118\": 1889,\n- \"77\": [29, 36, 37, 38, 39, 2458, 2460, 2627, 2646, 2649],\n+ \"77\": [29, 36, 37, 38, 39, 2460, 2627, 2646, 2649],\n \"770\": [296, 1240, 1322, 1476, 1996, 2642],\n \"77086955\": 1524,\n \"7724\": 2523,\n \"7725\": [2350, 2397, 2447],\n \"7731\": 2523,\n \"7736\": 2524,\n \"7737\": 2523,\n@@ -35351,15 +35356,14 @@\n \"7778\": 2524,\n \"7793\": 2524,\n \"78\": [2089, 2636, 2649],\n \"78096262\": [2349, 2396, 2446],\n \"7816\": 2524,\n \"7821\": 2524,\n \"7824\": 2524,\n- \"78327068\": 2458,\n \"7835\": 2524,\n \"784\": 2460,\n \"7847\": 2524,\n \"784728999999999\": 1113,\n \"7849\": 2524,\n \"78497f4\": 2518,\n \"7851\": 2524,\n@@ -35369,15 +35373,14 @@\n \"78571429e\": 1814,\n \"78606431\": [358, 2454, 2631],\n \"789\": 2636,\n \"7896\": 2524,\n \"79\": [13, 96, 109, 113, 138, 2649],\n \"79033856e\": 1148,\n \"7904\": 2524,\n- \"79074583\": 2458,\n \"7917\": 2524,\n \"7919\": 2524,\n \"7920\": [1211, 2524],\n \"7932\": 2524,\n \"7939\": 2524,\n \"79479508\": [2342, 2388, 2436],\n \"795\": 649,\n@@ -35413,26 +35416,25 @@\n \"81299683\": 2627,\n \"812997\": 2627,\n \"813\": [279, 879, 1068, 1228, 1310, 1464, 1984],\n \"81327024\": 2627,\n \"81349206\": [1112, 1541],\n \"81814867\": [2336, 2349, 2379, 2386, 2396, 2426, 2433, 2446],\n \"8192\": [72, 526, 2090, 2616],\n- \"82\": [1648, 2320, 2364, 2411, 2460, 2649, 2658],\n+ \"82\": [1648, 2320, 2364, 2411, 2458, 2460, 2649, 2658],\n \"8207540608310198\": [2350, 2397, 2447],\n \"82276161\": 358,\n \"8230\": [2350, 2397, 2447],\n \"82485143\": 2627,\n \"82502011\": 358,\n \"8255\": 2563,\n \"826716f\": 2518,\n \"82743037\": 533,\n \"82770259\": 2658,\n \"8277025938204418\": 2658,\n- \"8278483\": 2458,\n \"827941\": [523, 679, 2651],\n \"82842712\": [641, 643],\n \"83\": [2103, 2165, 2350, 2397, 2447, 2551, 2649],\n \"83314899\": 1153,\n \"83333333\": 1700,\n \"833333333333333\": [892, 1082, 1142, 2238],\n \"8341\": 2525,\n@@ -35458,15 +35460,15 @@\n \"85602287\": [2332, 2375, 2422],\n \"857\": 419,\n \"8570331885190563e\": [647, 652],\n \"85715698e\": 2169,\n \"8577\": 2536,\n \"85859792\": [358, 2454, 2631],\n \"8595784\": 2627,\n- \"86\": [59, 97, 110, 112, 115, 135, 140, 551, 967, 968, 2320, 2364, 2411, 2458, 2488, 2649],\n+ \"86\": [59, 97, 110, 112, 115, 135, 140, 551, 967, 968, 2320, 2364, 2411, 2488, 2649],\n \"8601\": [55, 62, 67, 2610],\n \"86260211e\": 54,\n \"8630830\": 13,\n \"86399\": 55,\n \"86400\": 55,\n \"86401\": 55,\n \"8660254\": 2101,\n@@ -35545,24 +35547,24 @@\n \"934284\": 358,\n \"93657855\": 358,\n \"9371\": 2529,\n \"9372\": 2529,\n \"9373\": 2529,\n \"9374\": 2529,\n \"9376\": 2529,\n- \"9376859\": 2485,\n \"9377\": 2529,\n \"93773029\": 358,\n \"9378\": 2529,\n \"9379\": 2529,\n \"9390\": [2530, 2531],\n \"94\": [418, 668, 2627, 2649],\n \"940\": 2584,\n \"941257\": 2627,\n \"94125714\": 2627,\n+ \"94495158\": 2485,\n \"94708397920832\": 2634,\n \"9475673279178444\": 2345,\n \"94864945\": 2658,\n \"94909878\": [2384, 2431],\n \"95\": [37, 39, 645, 2350, 2397, 2447, 2627, 2646, 2649],\n \"9504637\": 2658,\n \"950684\": 2627,\n"}]}]}]}]}]}