All files / src/analysis chromosightKernels.ts

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/**
 * chromosight's preset kernel matrices.
 *
 * **Generated — do not edit by hand.** See `chromosightPresets.ts` beside this
 * file for what each pattern is and where both come from — and for why the
 * numbers live here rather than there.
 *
 * The kernels *are* the algorithm. A loop is whatever
 * `artificial_template_loops_type1.txt` says a loop looks like, and every score
 * this repo reports for one is a Pearson correlation against those 289 numbers,
 * so a typo here is not a bug that crashes: it is a detector that quietly
 * answers a slightly different question than the tool it claims to agree with.
 * Eight significant digits, which is about 5e-9 relative — four orders below the
 * tightest tolerance anything downstream compares at.
 */
 
/** One template: odd-sided, square, row-major. */
export interface Template {
  size: number
  values: readonly number[]
}
 
export const CHROMOSIGHT_KERNELS: Record<string, readonly Template[]> = {
  "loops": [
    { size: 17, values: [
      0.85312823, 0.84999888, 0.86449323, 0.89848067, 0.89731004, 0.8828079, 0.8991951, 0.93574241, 0.98626893, 0.94680858, 0.92496206, 0.90751005, 0.91428048, 0.87331718, 0.89081318, 0.88887735, 0.89812284,
      0.87427503, 0.84537754, 0.82985454, 0.81558, 0.89584271, 0.88080858, 0.91475572, 0.95848669, 0.96150597, 0.98247128, 0.90971439, 0.89248861, 0.85932324, 0.80995337, 0.88023035, 0.86361754, 0.8646012,
      0.8692519, 0.88788988, 0.84916643, 0.85686, 0.86176338, 0.87028908, 0.91911272, 0.96605567, 0.96166305, 0.96432123, 0.92984099, 0.89885302, 0.85358974, 0.85747452, 0.86083162, 0.822195, 0.88605451,
      0.88360881, 0.81610713, 0.86454241, 0.85453919, 0.88771835, 0.90972731, 0.99139015, 1.0591303, 1.0764743, 1.0508512, 0.94905558, 0.91890882, 0.907508, 0.89806679, 0.84979212, 0.80942624, 0.88818904,
      0.89273526, 0.86257584, 0.8398885, 0.90191445, 0.92520181, 0.9669612, 1.0207693, 1.1247707, 1.1201985, 1.110737, 1.0138251, 0.97310288, 0.94194931, 0.8933119, 0.87546462, 0.89259011, 0.91885526,
      0.8873561, 0.87646597, 0.87459739, 0.93436395, 0.96454701, 0.96674092, 1.0503075, 1.1603753, 1.1935154, 1.1222083, 1.0359268, 1.0131198, 0.97551707, 0.89427219, 0.89454472, 0.89683122, 0.90296185,
      0.8897287, 0.9113657, 0.92834789, 0.9646179, 1.0079169, 1.030991, 1.1441288, 1.2773436, 1.3594681, 1.2540048, 1.1579206, 1.0552433, 1.0266774, 0.97582784, 0.92060582, 0.9131044, 0.93442846,
      0.92655103, 0.98995901, 0.95292056, 1.0712673, 1.1226021, 1.1346177, 1.294605, 1.5249332, 1.6538844, 1.4644965, 1.2367435, 1.1479659, 1.1129056, 1.0387143, 0.97745634, 0.95099896, 0.95599996,
      1.000965, 0.99160949, 0.99041644, 1.0976704, 1.1502586, 1.1870256, 1.3883191, 1.6925473, 1.7306489, 1.6152215, 1.330617, 1.2000051, 1.0901384, 1.0552782, 0.93290965, 0.93140245, 0.97157288,
      0.92655103, 0.98995901, 0.95292056, 1.0712673, 1.1226021, 1.1346177, 1.294605, 1.5249332, 1.6538844, 1.4644965, 1.2367435, 1.1479659, 1.1129056, 1.0387143, 0.97745634, 0.95099896, 0.95599996,
      0.8897287, 0.9113657, 0.92834789, 0.9646179, 1.0079169, 1.030991, 1.1441288, 1.2773436, 1.3594681, 1.2540048, 1.1579206, 1.0552433, 1.0266774, 0.97582784, 0.92060582, 0.9131044, 0.93442846,
      0.8873561, 0.87646597, 0.87459739, 0.93436395, 0.96454701, 0.96674092, 1.0503075, 1.1603753, 1.1935154, 1.1222083, 1.0359268, 1.0131198, 0.97551707, 0.89427219, 0.89454472, 0.89683122, 0.90296185,
      0.89273526, 0.86257584, 0.8398885, 0.90191445, 0.92520181, 0.9669612, 1.0207693, 1.1247707, 1.1201985, 1.110737, 1.0138251, 0.97310288, 0.94194931, 0.8933119, 0.87546462, 0.89259011, 0.91885526,
      0.88360881, 0.81610713, 0.86454241, 0.85453919, 0.88771835, 0.90972731, 0.99139015, 1.0591303, 1.0764743, 1.0508512, 0.94905558, 0.91890882, 0.907508, 0.89806679, 0.84979212, 0.80942624, 0.88818904,
      0.8692519, 0.88788988, 0.84916643, 0.85686, 0.86176338, 0.87028908, 0.91911272, 0.96605567, 0.96166305, 0.96432123, 0.92984099, 0.89885302, 0.85358974, 0.85747452, 0.86083162, 0.822195, 0.88605451,
      0.87427503, 0.84537754, 0.82985454, 0.81558, 0.89584271, 0.88080858, 0.91475572, 0.95848669, 0.96150597, 0.98247128, 0.90971439, 0.89248861, 0.85932324, 0.80995337, 0.88023035, 0.86361754, 0.8646012,
      0.85312823, 0.84999888, 0.86449323, 0.89848067, 0.89731004, 0.8828079, 0.8991951, 0.93574241, 0.98626893, 0.94680858, 0.92496206, 0.90751005, 0.91428048, 0.87331718, 0.89081318, 0.88887735, 0.89812284,
    ] },
  ],
  "loops_small": [
    { size: 7, values: [
      0.96674092, 1.0503075, 1.1603753, 1.1935154, 1.1222083, 1.0359268, 1.0131198,
      1.030991, 1.1441288, 1.2773436, 1.3594681, 1.2540048, 1.1579206, 1.0552433,
      1.1346177, 1.294605, 1.5249332, 1.6538844, 1.4644965, 1.2367435, 1.1479659,
      1.1870256, 1.3883191, 1.6925473, 1.7306489, 1.6152215, 1.330617, 1.2000051,
      1.1346177, 1.294605, 1.5249332, 1.6538844, 1.4644965, 1.2367435, 1.1479659,
      1.030991, 1.1441288, 1.2773436, 1.3594681, 1.2540048, 1.1579206, 1.0552433,
      0.96674092, 1.0503075, 1.1603753, 1.1935154, 1.1222083, 1.0359268, 1.0131198,
    ] },
  ],
  "borders": [
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      1.1003172, 1.5356543, 1.7067769, 1.4537106, 1.9829513, 1.4658087, 1.3233433, 1.6140262, 1.8096622, 1.8792628, 1.9525516, 1.7605103, 1.777209, 1.4840584, 1.5020231, 1.6423392, 2.4509537, 2.1417676, 2.0904689, 1.7093996, 2.0649807, 2.4487386, 2.0149022, 2.0265372, 2.378787, 2.0621637, 1.8725509, 1.9168712, 1.9864029, 2.1747451, 2.3404017, 1.9249811, 2.1432794, 1.5967608, 1.427104, 1.2752407, 1.0821453, 1.3172125, 1.1161174, 1.3744274, 1.589317, 1.2648489, 1.9120596, 1.7421771, 1.8024597, 1.6181186, 2.082684, 1.6464282, 1.9906183, 1.9398746, 2.7860802, 1.6440761, 2.3002995, 2.0444746, 2.6238451, 1.4796471, 2.1687299, 2.3942628, 2.5492927, 1.4822847, 2.2432685, 1.8026255, 2.4541595, 1.690559, 1.6916939, 1.7312464, 1.9975241, 1.8360942, 1.9203694, 1.7258471, 1.6550545, 1.9404048, 1.5680278, 2.3295684, 1.9311543, 1.7223234, 2.1371627, 2.209418, 2.1406123, 1.6520289, 1.9557166,
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      1.4724327, 1.1648855, 1.7898585, 1.6696796, 1.5257173, 1.7457196, 1.55345, 2.0584473, 1.7119168, 2.080426, 2.1235502, 2.0454498, 1.9216182, 1.836803, 1.7591695, 2.3250603, 2.0341132, 1.9347802, 2.3621773, 2.1165671, 2.5321812, 2.3021188, 1.9192056, 2.1888573, 2.0055395, 1.9438353, 2.6722729, 2.2038845, 2.4788169, 2.5334777, 2.8191994, 2.1659872, 2.2552939, 2.2188354, 2.033484, 1.7510865, 1.6545647, 1.3848707, 2.2269795, 1.8365123, 1.896057, 1.3111991, 1.5356641, 1.7464184, 1.9756153, 1.741086, 1.8118577, 2.6279301, 2.9741027, 2.8293177, 2.1791196, 3.3631801, 2.4370861, 2.8523719, 2.5107038, 1.9608018, 1.8589908, 3.0585591, 1.9928571, 1.7590304, 2.2209178, 1.7866462, 2.0750702, 1.6195619, 2.4172739, 2.4689555, 2.2470296, 1.8764299, 2.0697265, 2.3885711, 2.2596874, 1.4989627, 1.8380605, 1.7486996, 1.8754964, 1.841658, 1.7227006, 1.6077899, 1.5281837, 2.1918319, 2.015833,
      1.755589, 1.4220975, 1.0626261, 1.7837637, 2.3005332, 1.8938708, 1.8940734, 2.1810068, 1.7514677, 1.5933059, 1.8906492, 2.0655648, 1.5660421, 2.3578016, 2.3465774, 2.0251159, 2.1988303, 2.2061295, 2.9528427, 1.9351881, 2.1850452, 2.4060322, 2.8939109, 2.1030341, 2.5618035, 2.3749976, 2.2276088, 3.2061878, 2.442885, 2.7919725, 3.4230152, 1.9974057, 1.5450538, 2.9474237, 3.3334954, 2.2293925, 1.7585186, 1.8382322, 1.6370776, 1.3873455, 1.2752018, 1.7779439, 1.9677266, 2.1707617, 1.8827576, 1.9711621, 2.2161963, 2.2273938, 2.5782575, 2.5090481, 3.5086867, 3.0378798, 3.1581745, 2.5105761, 2.8783539, 1.9834471, 2.444037, 2.5608947, 2.3061983, 2.417654, 2.3449189, 2.0240786, 1.8838864, 2.3217362, 2.3870858, 2.6258438, 2.6383181, 2.3952262, 2.741563, 2.4590861, 1.9852029, 1.5471138, 1.7465702, 1.6394023, 2.2998458, 1.8832322, 3.0936222, 2.1275746, 1.844841, 2.5894287, 1.7121675,
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      1.5644811, 1.8461885, 1.4740217, 1.5353087, 1.4435496, 1.667283, 1.4184303, 1.5150715, 1.5997691, 2.4286995, 2.2960023, 1.4996206, 2.2123563, 2.571866, 2.2840284, 2.1849291, 2.28903, 1.8801851, 2.4869987, 1.5263324, 2.4249944, 2.6473655, 2.2659979, 2.6208782, 1.6519463, 1.7516078, 2.6741596, 2.7859941, 2.5028466, 2.0301106, 1.8780133, 2.5860232, 1.9797314, 2.9591883, 2.2598864, 2.2896379, 1.8335645, 1.8970387, 1.3879799, 1.6356119, 1.5539179, 2.0317942, 1.9211543, 2.0655289, 2.0138479, 2.3520605, 2.4659114, 2.3941466, 2.3148675, 2.6733819, 2.508712, 2.7401113, 2.6391292, 3.154632, 3.0573719, 2.6623727, 2.3921411, 1.9751008, 2.1905461, 2.3488614, 2.2661984, 2.0918858, 2.7353344, 2.4242662, 2.3788889, 2.1835833, 1.835015, 2.1033608, 1.9246432, 1.9446678, 2.0967985, 2.1031367, 1.8713073, 1.7439494, 1.5330889, 2.2915008, 1.6671249, 1.4994063, 1.4706023, 1.4989097, 1.8731205,
      0.84773652, 1.0611147, 1.3593184, 1.3348391, 1.5541516, 2.0593954, 1.7921462, 2.4617001, 1.4675667, 1.5795162, 2.1088454, 1.865124, 1.9729475, 1.5304767, 1.7607666, 1.7153861, 1.9726072, 2.3555012, 2.1485626, 2.1297021, 2.6277326, 2.1135982, 2.0915791, 2.0864236, 2.5632355, 2.2148316, 2.1824093, 2.3124868, 1.7737303, 2.9306318, 2.1743802, 2.8885327, 2.3316538, 3.1168857, 2.7765628, 1.9287301, 2.4258611, 2.0465354, 1.8802128, 2.000909, 2.3080008, 2.0863801, 1.9581656, 2.4920112, 1.8596017, 2.5916332, 2.8331679, 3.0560084, 2.877613, 3.4440431, 2.8817694, 3.0966025, 3.0537488, 3.7618863, 3.4335838, 3.1653225, 2.6342327, 2.7377056, 2.4026667, 2.8696677, 2.354813, 2.3838334, 2.6835464, 1.8595803, 1.4514915, 2.2350414, 1.9650879, 2.7664911, 1.9905527, 1.2666729, 1.9680398, 1.5914933, 1.8435444, 1.8932994, 1.7493175, 1.6015962, 1.6973333, 1.7894987, 1.7761613, 1.7140721, 1.8598816,
      1.2630901, 1.2136591, 1.1445975, 2.04163, 1.5336287, 2.4661758, 1.5143799, 1.9747417, 2.1871939, 1.7786471, 2.0404474, 1.9412317, 2.7339813, 2.1882374, 1.4554871, 2.1971275, 1.9671433, 1.9489456, 1.8099708, 1.7965716, 2.4031256, 2.1912059, 2.3972898, 2.5408939, 3.1349214, 1.9814435, 2.3620222, 1.8185854, 2.4183876, 3.0843814, 3.2342489, 2.2808942, 2.616829, 2.3899506, 2.4697832, 2.3815759, 1.9734426, 2.1642553, 2.1531487, 2.1698642, 2.0108869, 1.7368162, 2.0135599, 2.5462553, 2.5028847, 2.5344925, 2.4045236, 2.9224721, 2.3833379, 3.2440807, 2.4146364, 2.9347184, 2.4499489, 2.6315466, 2.5569228, 3.0943671, 2.4861166, 3.1434749, 3.0162861, 2.3572044, 2.172593, 2.5004521, 2.3911892, 2.1301252, 2.4301905, 2.42793, 2.2900369, 2.0378527, 1.8995397, 2.3042441, 2.3535152, 1.9172648, 1.4450711, 2.1047915, 1.5364107, 2.5918446, 1.9165941, 2.0392799, 1.5782427, 1.6639782, 1.5317094,
      1.643587, 1.1175138, 1.507933, 1.5043575, 1.6712869, 1.5043591, 1.5370548, 1.7843644, 1.9397588, 2.0612905, 2.0445956, 1.9190101, 2.0661538, 2.2679805, 1.9570542, 1.6407511, 1.7936704, 2.020946, 2.1045915, 1.8976704, 1.9395738, 2.9360897, 2.4612322, 3.4064635, 2.0272479, 2.683631, 2.305027, 3.2658061, 2.7684165, 2.4735025, 2.653852, 2.4986542, 2.3715001, 2.6074464, 3.311486, 3.4469258, 3.6014324, 2.7895176, 2.130839, 2.8020695, 2.0037273, 1.8256267, 2.1493285, 2.7084837, 2.3403278, 2.6811487, 2.3698593, 2.8263404, 2.9109505, 3.8771676, 2.7993633, 2.2481354, 3.2821948, 2.978187, 3.2099335, 3.2599431, 3.5726807, 2.8264471, 2.3365349, 2.1403411, 1.9695896, 2.0970815, 2.7356191, 1.8963325, 2.1022634, 2.7445048, 1.8721117, 1.9801716, 1.599216, 2.3041738, 1.8792593, 1.4747684, 2.1888333, 2.4790958, 2.1507264, 1.863112, 2.0666211, 1.9978507, 1.605062, 1.4232421, 1.2327922,
      1.1800311, 1.4001844, 1.0665592, 1.6500993, 1.6842617, 2.7907296, 1.5044087, 1.3030804, 2.0881718, 2.1854146, 1.7404497, 2.2260219, 1.7009805, 1.8081162, 2.1313642, 1.7911023, 2.2802655, 1.8717105, 2.3168036, 2.9885858, 2.4661196, 1.9700915, 2.4814966, 2.8105738, 2.9273212, 2.7140949, 3.360417, 2.4397391, 2.8983077, 2.598895, 2.7227676, 3.5910973, 2.8929164, 2.708292, 3.7042207, 2.6721962, 2.6271298, 2.6236689, 2.2994531, 1.8467222, 2.0523061, 2.4897062, 2.058532, 2.7792926, 3.729212, 2.5832676, 3.2394511, 3.5441683, 2.8361609, 3.5454153, 2.9619168, 2.7300537, 3.1952096, 3.0142051, 3.1137576, 2.4495988, 2.9029301, 2.6832959, 2.4333367, 3.5439673, 2.6470999, 3.01574, 2.5726837, 1.9601275, 2.0288181, 1.8987811, 2.1415597, 1.6578427, 1.5348636, 1.7424476, 1.6857441, 1.8149128, 1.7694327, 1.8060193, 2.124638, 2.1436623, 1.2085687, 1.5681836, 1.1676068, 1.2068787, 1.5134001,
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      1.2931266, 1.4535656, 1.8788757, 1.4579123, 1.8008683, 1.405515, 2.0078792, 1.6222105, 1.4693958, 1.8374059, 1.6966655, 2.0028594, 2.0647571, 1.9387442, 2.4313784, 1.6394709, 2.2546965, 1.5815291, 2.5434306, 2.4142652, 2.3663972, 2.6853704, 3.7958601, 2.5025552, 3.0636508, 2.8942133, 3.0111135, 3.1125328, 3.7685764, 3.0946191, 4.0056906, 3.9557224, 3.3072263, 2.6786686, 3.0158187, 3.0447841, 2.8024415, 2.9651038, 2.2437694, 2.3913493, 2.7048347, 2.8948834, 2.577219, 3.2360552, 2.3990456, 3.9684262, 4.2343755, 3.2581197, 3.4478388, 3.6952486, 3.5913706, 4.3569632, 4.3904522, 2.7765547, 3.050732, 2.4172828, 3.014684, 3.1966686, 2.2420585, 1.723845, 2.5894907, 2.4161666, 3.0127936, 2.2793604, 2.1593108, 2.4239686, 1.9160064, 2.2883748, 1.8017213, 2.2219406, 1.6159705, 1.385913, 1.7556351, 1.91337, 1.6317844, 1.3083323, 2.1891356, 1.4442812, 1.6105022, 1.5223145, 1.2802658,
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      0.95464436, 0.84181078, 1.003284, 0.96968842, 0.79723302, 1.2081566, 1.199488, 1.0889573, 1.0034902, 1.1304194, 1.7564535, 0.9792078, 1.5730508, 1.4769968, 1.2461155, 1.5100211, 1.0510706, 1.5399687, 1.4020352, 1.57174, 1.6640445, 2.3422653, 2.1025939, 1.9102712, 2.4817942, 2.4707303, 2.6335492, 4.3833438, 3.6158162, 5.4283955, 4.5796948, 6.2939373, 5.2626466, 6.4848017, 9.0644175, 9.6781411, 10.655354, 13.401246, 15.841601, 16.018899, 15.061532, 13.163563, 12.95226, 14.208965, 10.353561, 11.736353, 8.0240178, 6.753305, 5.4493259, 5.0176106, 4.473543, 3.7235483, 4.0733146, 2.5261747, 2.6209576, 3.3965924, 3.6104341, 2.1090472, 2.181949, 1.6180294, 1.8530485, 2.1704144, 1.6559144, 1.3141246, 1.2461374, 1.2925142, 1.1735058, 1.3577158, 1.3047445, 1.1086048, 1.5023414, 1.1048581, 1.2830739, 1.1096668, 1.1543121, 0.62658817, 1.0652159, 0.98337505, 0.85797858, 1.0960474, 0.76142008,
      0.59253495, 0.69869567, 1.4661653, 0.83555817, 1.049369, 1.2534595, 0.68768647, 1.667187, 0.83564363, 1.1164699, 1.299768, 1.095813, 1.2933011, 1.3999265, 1.4468438, 1.8203555, 1.9115788, 1.4672908, 1.424583, 1.8521956, 1.9130666, 1.7467969, 2.7951083, 1.9198271, 2.8092403, 2.0822023, 2.2546502, 2.95525, 3.1880403, 4.0909676, 5.3895008, 3.8863863, 6.7548222, 6.1508506, 8.3680729, 8.0995096, 10.264562, 11.32088, 15.950325, 16.792941, 18.016149, 17.520703, 14.619817, 9.0611419, 9.1329914, 10.9519, 7.9011934, 6.0331496, 5.449525, 4.645258, 3.2877972, 4.9243239, 2.9801781, 2.3117919, 2.1817439, 1.9715737, 2.0227721, 2.6170184, 1.9648643, 1.4901347, 1.4379608, 1.7675474, 0.99850407, 1.4476955, 0.94160819, 1.6582148, 1.2756171, 1.577902, 1.0083684, 1.2363335, 1.4494957, 0.88718345, 1.1806623, 1.0050259, 0.97200752, 0.91137065, 1.1021581, 1.0321627, 1.0177052, 0.63500056, 0.99096126,
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      2.3634707, 1.1268652, 1.319124, 1.550456, 2.167305, 1.6624752, 1.6797931, 1.2817896, 2.3547965, 3.0417863, 2.5599888, 2.1678682, 2.1882733, 2.1737328, 3.5933338, 2.4979413, 2.2777058, 1.9875959, 2.3851093, 2.8959397, 2.1435461, 2.4614248, 2.3759947, 2.3082881, 2.8803163, 3.3675013, 3.7249837, 3.4582348, 3.7308486, 3.4623323, 4.1891991, 2.8846025, 2.414989, 3.8853606, 2.8220506, 2.7486158, 2.5916212, 2.3691058, 2.1362572, 2.9772587, 2.9726772, 2.5683964, 2.5931004, 3.3006919, 2.8018009, 3.2360739, 2.9439428, 3.0076574, 2.530469, 2.9164013, 2.9640402, 4.1879908, 3.4459483, 3.7470515, 3.0953917, 3.3743524, 3.3379163, 3.4338191, 2.5970668, 2.977305, 2.4469682, 2.2288582, 2.5700798, 2.2180937, 2.5434766, 2.0457856, 1.8196689, 2.4919511, 1.8756653, 1.9271162, 1.6246183, 2.1486223, 1.7416291, 1.6286651, 2.7429568, 1.8760217, 1.511259, 1.1401331, 1.4559092, 1.7956338, 1.4025986,
      2.0769671, 2.1885823, 2.2859212, 1.9724645, 1.8490097, 1.5428219, 1.1609433, 1.5581891, 1.5500508, 2.6324304, 1.8824616, 1.5216121, 2.6384122, 2.6320114, 2.9699431, 2.0938214, 1.8331607, 3.0998718, 2.220329, 1.8743962, 1.5694134, 2.7567912, 2.2946468, 1.9036605, 2.6032552, 3.3552207, 3.0925421, 3.7670158, 3.3934116, 2.8211113, 2.7443922, 4.0649083, 3.0707547, 3.4362311, 2.5429864, 2.2227649, 1.7158489, 1.8938501, 2.5886793, 1.9567585, 1.2530184, 2.8781564, 2.619036, 2.3123263, 2.8100784, 2.6468293, 2.6494291, 3.5312879, 2.6083287, 4.1647276, 3.865765, 3.0960333, 3.8794466, 2.5874003, 2.6493856, 3.5719867, 3.068232, 2.206468, 2.7493425, 3.2002151, 2.0876092, 3.1585995, 2.0880792, 2.215382, 2.1695197, 2.9012322, 2.2149929, 2.7186513, 3.0939733, 2.0884968, 2.0590951, 2.0554619, 2.7188304, 1.9278885, 3.039938, 1.58457, 2.4995078, 2.0631091, 1.663603, 2.7869127, 2.1547038,
      1.6132883, 2.0066623, 2.3029744, 2.0787818, 2.2253451, 1.974008, 2.2741049, 2.0685602, 1.7166929, 1.7817857, 2.2880598, 3.2131031, 2.2890521, 3.092812, 2.5081707, 2.8935188, 1.9370422, 1.8247684, 2.7272384, 2.3373358, 2.7136271, 2.7825329, 2.6074275, 2.3615403, 2.6912467, 2.6976287, 2.2293496, 2.3569712, 2.7278514, 3.0664779, 2.8229872, 2.719053, 3.2213882, 1.8734228, 2.6986775, 2.4309322, 2.7534264, 2.5020957, 2.3092594, 2.9419433, 2.0284219, 2.0139626, 2.7918141, 3.1072548, 3.5224388, 2.5032715, 3.3557738, 3.1200516, 3.7449449, 2.8579646, 2.5135575, 4.0654558, 2.7758894, 2.7385484, 3.7570694, 2.9749303, 2.1311345, 2.6206746, 2.6021903, 2.0907876, 2.666256, 3.8521962, 2.3794581, 2.236391, 2.0307487, 1.9296913, 2.6010741, 1.5414681, 1.7869169, 2.6423708, 2.7537031, 2.354426, 2.7171518, 2.1031868, 1.8891381, 2.1579672, 1.7526763, 1.765915, 1.9714716, 1.5582489, 1.9353291,
      1.7436377, 1.2530238, 1.0888718, 2.2274333, 1.902162, 1.355863, 2.1658009, 2.148127, 2.0760883, 1.1295943, 1.9698673, 1.8106116, 1.8699013, 2.0823057, 3.2537903, 2.1225036, 1.7115783, 2.0788841, 1.6948263, 2.3110374, 1.5951523, 2.1917969, 1.7858164, 3.0106739, 2.7736664, 2.795891, 2.2123178, 2.3454618, 2.9382848, 2.5790068, 4.0439108, 2.2954307, 3.2748263, 2.5102989, 3.0343863, 2.2159444, 2.7667823, 2.1310627, 2.4683296, 2.3778815, 1.8691957, 2.0187164, 1.9531402, 2.1187417, 2.1417038, 2.38315, 2.4560892, 2.0751409, 3.1087945, 3.1940879, 2.7100041, 4.4971099, 2.8719994, 3.32567, 2.4097376, 2.4691645, 2.8138074, 2.4125011, 3.3513671, 2.9930381, 2.2608525, 2.24499, 2.1250562, 2.14907, 2.0867142, 1.816637, 2.2791981, 2.5293934, 1.9377913, 2.5713846, 1.7580076, 1.8669798, 1.3818829, 1.9467103, 1.9402774, 2.3380654, 2.126128, 1.262681, 2.0926249, 2.065123, 2.0378668,
      1.584575, 1.8147973, 2.2975679, 1.8963987, 2.1877793, 1.983272, 1.8889297, 3.6371753, 2.3034083, 1.936248, 1.6498452, 2.6182049, 2.2154592, 1.8438022, 2.4709299, 3.1742946, 2.3998794, 2.3771231, 2.4712226, 2.7081758, 2.5852713, 2.7806426, 2.8586778, 2.1783928, 2.1456366, 2.6416863, 3.5352878, 3.0691915, 2.3512015, 2.7121063, 2.6335059, 2.6088299, 2.047827, 3.7866274, 2.3482743, 2.2572027, 2.418581, 2.1323501, 1.8707078, 2.223617, 2.4131865, 1.9750457, 2.373449, 1.9985017, 2.1606145, 2.4528057, 2.0009498, 2.2826453, 2.5053277, 2.5889298, 3.1960144, 3.1511066, 2.9429558, 3.4567229, 3.5582477, 2.4844828, 2.8516518, 2.7997466, 3.3349205, 2.2321127, 2.1761108, 2.775887, 2.1191279, 2.1790616, 2.1947244, 1.8397668, 1.4147559, 2.2351731, 2.3289453, 2.0471203, 2.3383806, 2.163754, 2.3054297, 1.6707258, 1.8216285, 2.141492, 1.8454948, 1.4615444, 1.8668115, 1.6872305, 1.4182309,
      1.2303322, 1.9315612, 1.9794734, 1.7804993, 2.5807698, 1.8059306, 1.8106945, 1.7813833, 1.7388731, 1.6585575, 1.9516076, 1.950433, 2.0599881, 1.7884966, 2.4195636, 1.8715973, 1.9788956, 1.6612426, 3.5866308, 2.0495437, 2.3561091, 2.4345525, 2.9577589, 2.417021, 2.3799655, 2.7413716, 3.3145689, 3.2001918, 2.4823507, 3.0948253, 3.1081626, 3.1602272, 3.2060045, 2.622409, 3.1502396, 3.2323287, 2.0134792, 1.5981567, 1.7885223, 2.2166163, 1.5689586, 2.3716627, 2.0819625, 2.5023223, 2.3721338, 2.3718219, 2.3248316, 3.0576187, 1.9365711, 1.8463423, 2.7593669, 2.8824033, 2.6929363, 2.8849758, 3.8863788, 2.7152039, 2.3272339, 2.4880438, 3.8769269, 2.9355076, 2.0176006, 2.1759968, 2.5234584, 2.4732865, 1.8876527, 2.0612722, 3.2115867, 1.8131362, 2.067105, 2.01859, 2.7776353, 1.4746675, 2.0799367, 2.5639535, 2.7081865, 2.4870038, 1.6354672, 1.9367316, 1.8763661, 1.4904414, 2.1911521,
      1.6249459, 2.1877548, 1.6432794, 2.2204326, 1.9696207, 1.5941823, 3.0597752, 1.7261852, 2.0669377, 1.7479766, 2.4761598, 2.4327564, 2.470571, 2.3243763, 2.4789758, 2.1070609, 1.6037902, 2.102305, 2.5268225, 2.3018746, 3.0660983, 2.842377, 3.0182569, 2.8726901, 2.6994424, 2.8727361, 2.6473279, 2.5408394, 2.6348276, 2.8801448, 2.0109667, 2.5323076, 1.8405108, 3.4196159, 2.0566278, 2.3069432, 2.3313679, 1.7029393, 1.2637975, 2.2086765, 2.1535156, 1.5799854, 1.6167468, 1.7377936, 1.8818713, 1.8119377, 2.2111747, 1.9933301, 2.1719376, 2.1168001, 3.1539843, 4.1993737, 3.3211358, 2.606165, 2.2874983, 2.3967551, 2.0071401, 3.0762291, 2.6037495, 2.8699929, 2.3756243, 3.2258159, 2.1663393, 2.4399133, 2.5403759, 1.5241727, 1.8567909, 1.931845, 3.0275596, 1.5034203, 2.3306334, 2.3996919, 2.2702621, 2.4128991, 2.0222093, 1.6029859, 2.2740026, 2.8779283, 2.8762496, 1.5014027, 1.5387403,
      1.8107833, 1.1940166, 1.6507929, 1.1761456, 2.2553838, 1.5948138, 1.4650658, 1.4880179, 1.4954774, 2.0680532, 2.0343072, 2.5279229, 2.7426858, 2.730995, 1.8990979, 3.0099374, 2.3674646, 2.5780924, 3.7719697, 2.3363335, 2.7527954, 3.5297958, 2.4621901, 2.8523478, 2.1862074, 2.2859444, 1.8283227, 2.8246476, 2.1538208, 2.5282616, 2.3639611, 2.8584154, 3.035728, 2.1502987, 1.7586214, 1.5324398, 2.6522453, 2.1273933, 1.8182495, 1.2456449, 2.0389307, 1.2750065, 1.7770425, 1.6752197, 1.8005969, 2.0548374, 1.585869, 1.7451527, 2.1098167, 2.5085751, 2.3580887, 2.5241841, 1.673247, 2.4727432, 2.986818, 2.5055412, 3.1991836, 3.4013885, 2.9727617, 2.3824126, 2.3430509, 1.5732426, 1.8624314, 2.2306958, 1.7112334, 2.0566642, 1.6597689, 1.7232449, 1.9554877, 1.5164974, 2.5418695, 2.210037, 1.8992428, 1.0094014, 2.7929686, 1.2927406, 2.141303, 2.3755399, 2.065332, 1.4599714, 1.8311518,
      1.6016267, 1.457112, 1.6800138, 2.0187107, 1.641135, 2.6571451, 2.0596754, 1.7927337, 1.8028919, 1.252789, 1.6599207, 2.2550712, 1.8005523, 2.0906642, 2.2563348, 1.996283, 1.9015441, 1.91457, 2.4114571, 2.5946939, 2.8719431, 1.7282237, 2.645844, 3.0876978, 1.9352885, 2.4522401, 1.3768203, 2.174308, 1.6867061, 2.5499766, 1.9361878, 1.9867352, 1.5096237, 2.9019509, 1.7052017, 1.7968846, 1.8571559, 0.98205895, 1.8945704, 1.8772241, 0.93149389, 1.5651287, 1.6471251, 2.2216318, 1.9548921, 1.7144566, 1.4436749, 2.641558, 1.7938671, 2.134576, 1.6241978, 1.9649049, 2.1771009, 2.1630554, 2.8749226, 2.5362045, 2.8538626, 2.2887464, 3.2952252, 3.0539202, 2.1773857, 2.0927042, 1.7127113, 1.7833065, 2.1496275, 1.6511817, 1.8749838, 1.6428218, 1.756386, 1.2394393, 2.3597462, 2.429746, 1.2193716, 1.9166708, 1.4044111, 1.287159, 2.0685065, 1.4489287, 2.4784924, 1.7301762, 2.1593814,
      1.5436542, 1.7410039, 1.4314954, 1.4187692, 2.9365215, 2.1047021, 1.7489635, 2.1125065, 2.1230712, 1.4434282, 2.2630774, 1.871933, 1.8786935, 2.4840349, 1.900356, 1.9092503, 2.0880277, 3.4982653, 1.7298124, 2.0173265, 1.9657934, 2.0405873, 2.4244834, 2.2430405, 2.539473, 2.4511349, 1.8957479, 2.5168316, 2.5149379, 2.3080183, 2.5845515, 2.161376, 1.7017604, 2.1439074, 1.755998, 1.6547605, 1.1977078, 1.6652113, 0.83425938, 0.8564632, 1.448916, 1.0679841, 1.3870344, 1.975974, 0.94501629, 1.732736, 2.204028, 1.7214861, 2.0645008, 1.4572249, 2.6291565, 2.8051834, 2.5093319, 2.0076982, 2.6362848, 1.8332811, 2.8915754, 1.964082, 1.6884376, 3.1844177, 2.429813, 2.1846481, 1.6742047, 2.4565996, 1.6583262, 1.7268643, 1.5515063, 1.9243572, 1.5200847, 1.6981686, 1.9390205, 2.2257496, 1.7811031, 1.7333563, 1.5109923, 1.9164516, 2.4995955, 1.1549183, 2.2375897, 1.6063275, 1.7672052,
      1.3882897, 1.6162181, 1.8914177, 1.1926533, 1.7818192, 1.2782574, 1.9514753, 1.9777712, 1.620942, 1.8291532, 1.436183, 3.143729, 2.4494535, 3.0345127, 2.0730229, 2.3893869, 2.5354082, 2.7589102, 1.8677414, 1.7965585, 2.3826539, 2.0827881, 2.4729081, 2.9984808, 2.6023855, 2.5252197, 2.4493793, 3.3770014, 1.9969213, 2.0955974, 1.4557975, 2.5512676, 1.6581994, 1.1357497, 1.4866726, 1.5149368, 1.6137232, 1.3551421, 1.9617397, 1.5101058, 1.245078, 1.2801677, 0.98326431, 1.4854022, 1.6444093, 1.4030566, 2.8344494, 1.3558252, 2.2120555, 1.4665224, 2.3041848, 2.4575899, 2.0246388, 2.6366668, 2.7526793, 2.8031448, 2.5112882, 2.95341, 2.8416679, 2.4655499, 2.3549519, 2.2037656, 2.6332552, 2.7088805, 1.9556061, 1.7628069, 2.496695, 2.5368465, 1.9660005, 1.5400431, 1.8545345, 2.0741437, 2.2078247, 2.4834239, 2.0107254, 1.9847618, 1.7829467, 1.9224809, 1.3900617, 1.4081977, 1.3166354,
      2.0612257, 2.4714891, 2.2299161, 1.7752641, 2.9113395, 1.7760014, 1.9065337, 1.877075, 1.6253226, 1.6215736, 1.737427, 2.8470114, 2.2536916, 2.3736558, 3.5538697, 2.0560542, 2.2459497, 1.3520696, 2.4557831, 1.8767046, 2.0052332, 2.7601783, 2.8653436, 2.5693832, 1.8870747, 1.8695047, 1.9235118, 2.7543425, 1.5855319, 1.7503964, 1.70962, 2.3982979, 1.3092469, 2.6025455, 1.4514932, 2.003394, 1.1912446, 1.4864406, 1.6178744, 1.2432954, 0.71780706, 1.6311487, 1.3251213, 1.5186753, 2.6719131, 1.8267867, 1.8932529, 1.8999905, 1.1975088, 1.6728558, 2.1505221, 2.918871, 2.5764408, 2.5213528, 1.9841386, 1.8701658, 2.4029567, 1.9540922, 1.9224031, 1.8238828, 2.0146119, 2.4911758, 2.2232743, 1.6869953, 2.1750618, 2.2716943, 2.4885497, 2.6842515, 1.9055483, 1.5207456, 1.3690668, 1.7895467, 1.7181907, 1.9784921, 1.8835985, 1.6123766, 1.6450049, 1.7424415, 1.924465, 2.5283681, 1.9732152,
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