aare/extra/.ipynb_checkpoints/Pedestal testing-checkpoint.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "92647e2d-9927-417f-94d0-27686ec005bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "869aedd2-79e9-4959-8819-2221048abeb5",
   "metadata": {},
   "source": [
    "# normal distribution, mean=5 std=2\n",
    "\n",
    "calculated mean over all input samples (not last 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "97e025ae-c2b0-4c91-ba0f-c78b4677af46",
   "metadata": {},
   "outputs": [],
   "source": [
    "start=20\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2444e776-f915-422f-b7e3-f99ebc74983b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 1000, 1000, 1000, 1000)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# data\n",
    "x=[0, 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900, 4000, 4100, 4200, 4300, 4400, 4500, 4600, 4700, 4800, 4900, 5000, 5100, 5200, 5300, 5400, 5500, 5600, 5700, 5800, 5900, 6000, 6100, 6200, 6300, 6400, 6500, 6600, 6700, 6800, 6900, 7000, 7100, 7200, 7300, 7400, 7500, 7600, 7700, 7800, 7900, 8000, 8100, 8200, 8300, 8400, 8500, 8600, 8700, 8800, 8900, 9000, 9100, 9200, 9300, 9400, 9500, 9600, 9700, 9800, 9900, 10000, 10100, 10200, 10300, 10400, 10500, 10600, 10700, 10800, 10900, 11000, 11100, 11200, 11300, 11400, 11500, 11600, 11700, 11800, 11900, 12000, 12100, 12200, 12300, 12400, 12500, 12600, 12700, 12800, 12900, 13000, 13100, 13200, 13300, 13400, 13500, 13600, 13700, 13800, 13900, 14000, 14100, 14200, 14300, 14400, 14500, 14600, 14700, 14800, 14900, 15000, 15100, 15200, 15300, 15400, 15500, 15600, 15700, 15800, 15900, 16000, 16100, 16200, 16300, 16400, 16500, 16600, 16700, 16800, 16900, 17000, 17100, 17200, 17300, 17400, 17500, 17600, 17700, 17800, 17900, 18000, 18100, 18200, 18300, 18400, 18500, 18600, 18700, 18800, 18900, 19000, 19100, 19200, 19300, 19400, 19500, 19600, 19700, 19800, 19900, 20000, 20100, 20200, 20300, 20400, 20500, 20600, 20700, 20800, 20900, 21000, 21100, 21200, 21300, 21400, 21500, 21600, 21700, 21800, 21900, 22000, 22100, 22200, 22300, 22400, 22500, 22600, 22700, 22800, 22900, 23000, 23100, 23200, 23300, 23400, 23500, 23600, 23700, 23800, 23900, 24000, 24100, 24200, 24300, 24400, 24500, 24600, 24700, 24800, 24900, 25000, 25100, 25200, 25300, 25400, 25500, 25600, 25700, 25800, 25900, 26000, 26100, 26200, 26300, 26400, 26500, 26600, 26700, 26800, 26900, 27000, 27100, 27200, 27300, 27400, 27500, 27600, 27700, 27800, 27900, 28000, 28100, 28200, 28300, 28400, 28500, 28600, 28700, 28800, 28900, 29000, 29100, 29200, 29300, 29400, 29500, 29600, 29700, 29800, 29900, 30000, 30100, 30200, 30300, 30400, 30500, 30600, 30700, 30800, 30900, 31000, 31100, 31200, 31300, 31400, 31500, 31600, 31700, 31800, 31900, 32000, 32100, 32200, 32300, 32400, 32500, 32600, 32700, 32800, 32900, 33000, 33100, 33200, 33300, 33400, 33500, 33600, 33700, 33800, 33900, 34000, 34100, 34200, 34300, 34400, 34500, 34600, 34700, 34800, 34900, 35000, 35100, 35200, 35300, 35400, 35500, 35600, 35700, 35800, 35900, 36000, 36100, 36200, 36300, 36400, 36500, 36600, 36700, 36800, 36900, 37000, 37100, 37200, 37300, 37400, 37500, 37600, 37700, 37800, 37900, 38000, 38100, 38200, 38300, 38400, 38500, 38600, 38700, 38800, 38900, 39000, 39100, 39200, 39300, 39400, 39500, 39600, 39700, 39800, 39900, 40000, 40100, 40200, 40300, 40400, 40500, 40600, 40700, 40800, 40900, 41000, 41100, 41200, 41300, 41400, 41500, 41600, 41700, 41800, 41900, 42000, 42100, 42200, 42300, 42400, 42500, 42600, 42700, 42800, 42900, 43000, 43100, 43200, 43300, 43400, 43500, 43600, 43700, 43800, 43900, 44000, 44100, 44200, 44300, 44400, 44500, 44600, 44700, 44800, 44900, 45000, 45100, 45200, 45300, 45400, 45500, 45600, 45700, 45800, 45900, 46000, 46100, 46200, 46300, 46400, 46500, 46600, 46700, 46800, 46900, 47000, 47100, 47200, 47300, 47400, 47500, 47600, 47700, 47800, 47900, 48000, 48100, 48200, 48300, 48400, 48500, 48600, 48700, 48800, 48900, 49000, 49100, 49200, 49300, 49400, 49500, 49600, 49700, 49800, 49900, 50000, 50100, 50200, 50300, 50400, 50500, 50600, 50700, 50800, 50900, 51000, 51100, 51200, 51300, 51400, 51500, 51600, 51700, 51800, 51900, 52000, 52100, 52200, 52300, 52400, 52500, 52600, 52700, 52800, 52900, 53000, 53100, 53200, 53300, 53400, 53500, 53600, 53700, 53800, 53900, 54000, 54100, 54200, 54300, 54400, 54500, 54600, 54700, 54800, 54900, 55000, 55100, 55200, 55300, 55400, 55500, 55600, 55700, 55800, 55900, 56000, 56100, 56200, 56300, 56400, 56500, 56600, 56700, 56800, 56900, 57000, 57100, 57200, 57300, 57400, 57500, 57600, 57700, 57800, 57900, 58000, 58100, 58200, 58300, 58400, 58500, 58600, 58700, 58800, 58900, 59000, 59100, 59200, 59300, 59400, 59500, 59600, 59700, 59800, 59900, 60000, 60100, 60200, 60300, 60400, 60500, 60600, 60700, 60800, 60900, 61000, 61100, 61200, 61300, 61400, 61500, 61600, 61700, 61800, 61900, 62000, 62100, 62200, 62300, 62400, 62500, 62600, 62700, 62800, 62900, 63000, 63100, 63200, 63300, 63400, 63500, 63600, 63700, 63800, 63900, 64000, 64100, 64200, 64300, 64400, 64500, 64600, 64700, 64800, 64900, 65000, 65100, 65200, 65300, 65400, 65500, 65600, 65700, 65800, 65900, 66000, 66100, 66200, 66300, 66400, 66500, 66600, 66700, 66800, 66900, 67000, 67100, 67200, 67300, 67400, 67500, 67600, 67700, 67800, 67900, 68000, 68100, 68200, 68300, 68400, 68500, 68600, 68700, 68800, 68900, 69000, 69100, 69200, 69300, 69400, 69500, 69600, 69700, 69800, 69900, 70000, 70100, 70200, 70300, 70400, 70500, 70600, 70700, 70800, 70900, 71000, 71100, 71200, 71300, 71400, 71500, 71600, 71700, 71800, 71900, 72000, 72100, 72200, 72300, 72400, 72500, 72600, 72700, 72800, 72900, 73000, 73100, 73200, 73300, 73400, 73500, 73600, 73700, 73800, 73900, 74000, 74100, 74200, 74300, 74400, 74500, 74600, 74700, 74800, 74900, 75000, 75100, 75200, 75300, 75400, 75500, 75600, 75700, 75800, 75900, 76000, 76100, 76200, 76300, 76400, 76500, 76600, 76700, 76800, 76900, 77000, 77100, 77200, 77300, 77400, 77500, 77600, 77700, 77800, 77900, 78000, 78100, 78200, 78300, 78400, 78500, 78600, 78700, 78800, 78900, 79000, 79100, 79200, 79300, 79400, 79500, 79600, 79700, 79800, 79900, 80000, 80100, 80200, 80300, 80400, 80500, 80600, 80700, 80800, 80900, 81000, 81100, 81200, 81300, 81400, 81500, 81600, 81700, 81800, 81900, 82000, 82100, 82200, 82300, 82400, 82500, 82600, 82700, 82800, 82900, 83000, 83100, 83200, 83300, 83400, 83500, 83600, 83700, 83800, 83900, 84000, 84100, 84200, 84300, 84400, 84500, 84600, 84700, 84800, 84900, 85000, 85100, 85200, 85300, 85400, 85500, 85600, 85700, 85800, 85900, 86000, 86100, 86200, 86300, 86400, 86500, 86600, 86700, 86800, 86900, 87000, 87100, 87200, 87300, 87400, 87500, 87600, 87700, 87800, 87900, 88000, 88100, 88200, 88300, 88400, 88500, 88600, 88700, 88800, 88900, 89000, 89100, 89200, 89300, 89400, 89500, 89600, 89700, 89800, 89900, 90000, 90100, 90200, 90300, 90400, 90500, 90600, 90700, 90800, 90900, 91000, 91100, 91200, 91300, 91400, 91500, 91600, 91700, 91800, 91900, 92000, 92100, 92200, 92300, 92400, 92500, 92600, 92700, 92800, 92900, 93000, 93100, 93200, 93300, 93400, 93500, 93600, 93700, 93800, 93900, 94000, 94100, 94200, 94300, 94400, 94500, 94600, 94700, 94800, 94900, 95000, 95100, 95200, 95300, 95400, 95500, 95600, 95700, 95800, 95900, 96000, 96100, 96200, 96300, 96400, 96500, 96600, 96700, 96800, 96900, 97000, 97100, 97200, 97300, 97400, 97500, 97600, 97700, 97800, 97900, 98000, 98100, 98200, 98300, 98400, 98500, 98600, 98700, 98800, 98900, 99000, 99100, 99200, 99300, 99400, 99500, 99600, 99700, 99800, 99900] \n",
    "# pedestal statistics\n",
    "pmean = [5.41192, 4.99353, 4.96779, 4.94741, 4.89151, 4.86465, 4.92238, 4.92298, 4.96091, 4.95486, 4.96919, 4.98192, 4.99031, 4.98812, 4.99477, 4.9766, 4.98568, 4.99352, 4.98538, 5.00647, 5.02853, 5.00818, 5.03942, 5.02885, 5.0361, 5.04105, 5.01014, 4.99027, 5.00916, 5.00978, 5.00754, 5.00385, 5.0137, 5.03922, 5.03926, 5.0262, 5.04393, 5.00602, 5.00122, 5.00569, 5.02016, 5.04046, 5.03301, 5.01328, 5.00401, 4.97607, 5.0086, 5.0095, 4.99451, 4.9704, 4.96253, 4.9786, 5.01352, 5.0075, 4.99504, 4.97549, 4.98045, 4.95068, 4.97279, 4.98371, 5.00148, 4.97675, 4.96139, 4.9788, 4.99329, 4.97269, 4.94246, 4.99542, 4.99569, 5.01831, 4.98854, 4.98489, 5.00098, 5.0087, 5.01522, 5.01697, 4.98293, 4.98999, 4.9834, 5.00873, 5.01533, 5.03895, 5.03992, 5.01753, 5.02001, 4.98402, 4.99712, 4.99267, 5.03341, 5.03426, 5.00115, 4.99725, 4.96999, 4.9658, 4.96681, 4.92621, 4.93823, 4.93474, 4.92887, 4.92401, 4.97756, 4.96682, 4.96451, 4.97341, 4.978, 4.98129, 4.96196, 4.93877, 4.94081, 4.96762, 4.97003, 4.98946, 4.99455, 4.98358, 4.97255, 4.96571, 4.97802, 4.94387, 4.97549, 4.96839, 4.95041, 4.94025, 4.92175, 4.93792, 4.92561, 4.91817, 4.94559, 4.96744, 4.96413, 4.96474, 4.99111, 4.98113, 4.99262, 4.99562, 4.9743, 4.96201, 4.96478, 4.98298, 4.96622, 4.97824, 4.94646, 4.9306, 4.95662, 4.97226, 4.96564, 4.96773, 4.94318, 4.95342, 4.97356, 4.93908, 4.93397, 4.9067, 4.92213, 4.92563, 4.93385, 4.90341, 4.92241, 4.95937, 4.93918, 4.95845, 4.94573, 4.95965, 4.98502, 4.98468, 4.98319, 4.96887, 4.97391, 4.98295, 4.99108, 5.00044, 4.98208, 4.98529, 4.95664, 4.97838, 5.00424, 4.98449, 4.93997, 4.93211, 4.91265, 4.90752, 4.90386, 4.90649, 4.92692, 4.93058, 4.91033, 4.92233, 4.96675, 4.96001, 4.9753, 4.95774, 4.96683, 4.94772, 4.95254, 4.96986, 4.96589, 4.97892, 5.00512, 4.94365, 4.9446, 4.94498, 4.94108, 4.96195, 4.97093, 4.98871, 4.98104, 4.98543, 4.99695, 4.98269, 4.97262, 4.99766, 4.99266, 5.00737, 4.99575, 4.99849, 5.02509, 4.99336, 4.97488, 4.97469, 5.00688, 5.0208, 5.02443, 5.03103, 5.04146, 5.05161, 5.05836, 5.09624, 5.10286, 5.08026, 5.03758, 5.0661, 5.07208, 5.04847, 5.04176, 5.03227, 4.99518, 4.98112, 4.97714, 4.96279, 4.9819, 5.00762, 5.0123, 5.0101, 4.97716, 4.95855, 4.95222, 4.92548, 4.93689, 4.93151, 4.89937, 4.90925, 4.90216, 4.91462, 4.92453, 4.95929, 4.95739, 4.93515, 4.96235, 4.99209, 4.9848, 4.97289, 4.97, 4.98555, 4.98521, 4.99381, 4.98651, 4.99343, 4.98402, 4.97754, 4.9793, 5.0161, 5.02653, 5.01068, 5.04177, 5.03325, 5.00821, 5.00213, 5.02448, 5.02301, 5.05358, 5.05387, 5.05615, 5.046, 5.02411, 5.0362, 5.02547, 5.03417, 5.03114, 5.03529, 5.01759, 5.031, 5.04873, 5.04367, 5.04055, 5.03128, 5.03546, 5.03829, 5.06536, 5.05426, 5.03459, 4.99297, 5.02109, 5.04485, 5.05598, 5.02932, 5.03737, 5.04953, 5.04393, 5.05834, 5.03792, 5.0178, 5.02043, 5.02051, 5.0282, 5.00745, 5.01824, 5.02956, 5.03507, 5.00631, 5.01704, 5.00686, 5.01691, 4.99601, 5.01525, 4.99863, 5.00193, 5.05799, 5.02298, 4.99795, 5.02394, 5.01826, 5.02529, 5.05943, 5.07658, 5.04884, 5.03947, 5.02522, 5.04036, 5.05379, 5.07468, 5.09464, 5.08099, 5.0972, 5.04704, 5.03137, 5.02624, 5.05998, 5.05581, 5.05409, 5.03922, 5.03949, 5.04094, 5.07036, 5.04688, 5.0198, 5.03144, 5.05532, 5.05648, 5.07558, 5.05976, 5.05712, 5.03754, 5.02102, 4.98883, 5.01841, 5.02842, 5.02105, 5.01325, 5.03355, 5.0219, 4.98806, 5.00796, 4.97583, 4.94257, 4.92742, 4.91117, 4.92576, 4.93595, 4.91001, 4.90915, 4.88681, 4.91021, 4.96105, 4.96415, 4.97342, 4.96231, 4.9741, 4.97646, 4.9659, 4.98354, 4.98304, 4.97941, 5.00121, 5.00899, 5.03082, 5.01599, 5.0173, 5.00858, 4.98046, 4.95516, 4.93466, 4.97626, 5.00075, 4.99169, 4.99709, 4.98309, 4.97413, 4.97367, 4.97599, 4.9443, 4.9567, 4.96145, 4.95011, 4.9789, 4.9634, 4.96301, 4.95071, 4.92642, 4.90259, 4.92234, 4.91637, 4.91875, 4.91811, 4.93693, 4.95978, 4.95851, 4.93467, 4.936, 4.95536, 4.97275, 4.98273, 4.96884, 4.97501, 4.99399, 4.99594, 4.98985, 5.01758, 4.9923, 5.02536, 5.03968, 5.04719, 5.06344, 5.04008, 5.01026, 4.99075, 4.99263, 4.97366, 4.99834, 4.99847, 4.99697, 5.00327, 5.0021, 5.00975, 5.01686, 5.01483, 5.0196, 5.01299, 5.03007, 5.02972, 5.03311, 5.02384, 5.05842, 5.07367, 5.09523, 5.05425, 5.02296, 5.02406, 5.00724, 5.03012, 5.07925, 5.05669, 5.04753, 5.02798, 5.01928, 5.02522, 5.01011, 5.01754, 5.028, 5.01755, 5.01732, 5.00188, 5.00257, 5.05157, 5.04566, 5.053, 5.00065, 5.0143, 5.00035, 5.02043, 5.0316, 5.08044, 5.09965, 5.06636, 5.09051, 5.06898, 5.07889, 5.06833, 5.07618, 5.07055, 5.05985, 5.07233, 5.0778, 5.08624, 5.04551, 5.01349, 5.00408, 5.01601, 5.0087, 5.02625, 5.03157, 5.02403, 5.04462, 5.03842, 5.05646, 5.05045, 5.09737, 5.09129, 5.09527, 5.1088, 5.11009, 5.08883, 5.08042, 5.08896, 5.10961, 5.0797, 5.0638, 5.06918, 5.06267, 5.05642, 5.02851, 5.02465, 5.0131, 5.01819, 5.02947, 5.03288, 5.02995, 5.02822, 4.99079, 4.97612, 4.97169, 4.99495, 4.97956, 4.9778, 4.98706, 5.01277, 5.01203, 5.02425, 5.03664, 5.05411, 5.04679, 5.024, 5.02338, 5.01369, 4.99086, 4.99149, 4.98741, 4.97314, 4.96942, 4.96875, 4.93021, 4.92553, 4.95336, 4.96693, 5.00399, 5.0082, 5.01953, 5.02997, 5.03355, 5.011, 5.00785, 5.02689, 5.01624, 5.01789, 5.01188, 4.97334, 4.9785, 4.97998, 4.96904, 4.98787, 4.99103, 5.01711, 4.97895, 4.98084, 5.0065, 5.01518, 4.99416, 4.98547, 5.01443, 4.98826, 5.00612, 5.00514, 5.0078, 4.99904, 5.02532, 5.02184, 5.01493, 5.0171, 5.00451, 4.98185, 4.96698, 4.95423, 4.96073, 4.97748, 4.96748, 4.97679, 4.95381, 4.9909, 5.02927, 5.01868, 5.03642, 5.01695, 5.02151, 4.9849, 5.01703, 5.00542, 5.01016, 5.03084, 5.01873, 5.02538, 5.02321, 5.04409, 5.03834, 5.03607, 5.0057, 4.98654, 4.95971, 5.0097, 5.02494, 5.02752, 5.04605, 5.03367, 5.03285, 5.06249, 5.08199, 5.07363, 5.0758, 5.06923, 5.05836, 5.05555, 5.04276, 5.05361, 5.06013, 5.04303, 5.00547, 5.00598, 4.99422, 5.00052, 5.00511, 5.0162, 5.00533, 4.98156, 4.95975, 4.97416, 5.0032, 5.03379, 5.03951, 5.04067, 5.03239, 5.02447, 4.99545, 4.9991, 5.00841, 5.01581, 4.99067, 5.01116, 4.99453, 4.98991, 4.99761, 5.00902, 5.02414, 5.03612, 5.07839, 5.09953, 5.08365, 5.10029, 5.114, 5.10527, 5.09481, 5.06696, 5.05501, 5.03018, 5.04012, 5.07859, 5.07326, 5.08485, 5.07041, 5.02909, 5.01909, 5.006, 5.02756, 5.0131, 5.0295, 5.00909, 5.02601, 4.98513, 4.95664, 4.9546, 4.96389, 4.95561, 4.92867, 4.951, 4.95099, 4.9113, 4.92315, 4.94437, 4.96782, 4.9526, 4.92392, 4.94974, 4.95143, 4.91591, 4.96002, 4.96661, 4.96994, 4.98084, 5.02165, 4.99877, 4.98589, 4.98968, 4.97657, 4.98422, 4.99518, 5.01421, 5.02794, 5.03332, 5.01108, 5.01159, 5.02684, 5.01068, 5.01203, 5.01026, 5.01652, 5.00396, 5.01367, 5.01973, 5.02503, 5.00998, 4.98164, 4.98163, 4.99582, 5.00202, 5.02195, 5.06686, 5.05995, 5.07935, 5.07874, 5.03069, 5.04201, 5.04592, 5.04097, 5.05461, 5.05484, 5.07812, 5.03799, 5.0667, 5.07417, 5.0887, 5.09587, 5.07709, 5.054, 5.08176, 5.08783, 5.08203, 5.09259, 5.08867, 5.0973, 5.09846, 5.08923, 5.05592, 5.07402, 5.05673, 5.0366, 4.98763, 4.98967, 4.99249, 4.99189, 5.01809, 5.0408, 4.98133, 4.99742, 5.01023, 5.03038, 5.05938, 5.04076, 5.06661, 5.02917, 5.01781, 4.99654, 5.00724, 5.04085, 5.01909, 5.01949, 5.01624, 4.99059, 5.0089, 5.02961, 5.04278, 5.05414, 5.03471, 5.08266, 5.08905, 5.09353, 5.10757, 5.10028, 5.08981, 5.05456, 5.06666, 5.08991, 5.06484, 5.09025, 5.0826, 5.05646, 5.05392, 5.06013, 5.06208, 5.08455, 5.06665, 5.04617, 5.05592, 5.04774, 5.006, 4.99432, 5.0044, 4.97616, 4.98567, 5.00064, 5.01484, 5.03846, 5.02739, 5.01419, 4.98342, 4.95913, 4.93943, 4.93815, 4.94867, 4.91625, 4.95471, 4.9299, 4.94059, 4.9293, 4.95313, 4.97414, 4.96794, 4.98494, 4.97025, 4.95762, 4.97739, 4.97355, 4.97126, 4.95777, 4.99786, 5.01659, 5.03679, 5.03526, 5.02834, 5.02559, 4.98284, 4.9702, 4.94612, 4.91684, 4.94741, 4.97956, 4.96295, 4.97676, 4.98794, 4.98508, 4.99257, 4.9823, 5.01679, 5.0177, 5.03379, 5.03182, 5.06887, 5.06951, 5.05092, 5.0258, 5.04227, 5.02952, 5.02875, 5.00329, 5.00296, 4.99317, 4.98353, 4.99648, 4.98082, 4.98122, 4.98203, 4.97763, 5.02378, 4.99699, 5.01335, 5.01487, 5.02466, 5.02521, 4.98405, 4.96097, 4.973, 4.95592, 4.96544, 4.97065, 5.00287, 5.02208, 5.02451, 5.0289, 5.04294, 5.07198, 5.02466, 5.02843, 5.02629, 5.05707, 5.02998, 5.0151, 5.03217, 5.0198, 5.02911, 5.00737, 5.03042, 5.00099, 5.03404, 5.03779, 5.01957, 4.96153, 4.9508, 4.93383, 4.90702, 4.95826, 4.92919, 4.93506, 4.93032, 4.93401, 4.91684, 4.92772, 4.94971, 4.94596, 4.99832, 5.02688, 5.02422, 5.01821, 5.02307, 5.01015, 5.03011, 5.04764, 5.03745, 5.01036, 5.03368, 5.04043, 5.06995, 5.08564, 5.05773, 5.03185, 5.04383, 5.02746, 5.00179, 4.98158, 4.96886, 4.95866, 4.97251, 4.95172, 4.96078, 4.96536, 5.00258, 4.99131, 4.97911, 4.98444, 4.98065, 4.97001, 4.96456, 5.00446, 5.02492, 5.03125, 5.04174, 5.03872, 5.02525, 5.01477, 5.0279, 5.03187, 5.01396, 5.00941, 4.96205, 4.96132, 4.94929, 4.95598, 4.95516, 4.96038, 4.99927, 4.99052, 4.95318, 4.93033, 4.95464, 4.96074, 4.96205, 4.95324, 4.97551, 4.97038, 4.97032, 5.00078, 4.98145, 4.95079, 4.97024, 4.94964, 4.95494] \n",
    "pvar = [0, 4.39778, 4.69045, 4.38875, 4.34292, 4.26456, 4.11021, 4.20003, 4.33025, 4.21619, 4.21151, 4.12151, 4.18694, 4.1262, 4.12538, 4.09022, 4.18214, 4.19592, 4.25929, 4.21513, 4.24049, 4.20894, 4.19189, 4.18081, 4.10445, 4.03269, 3.99192, 4.00979, 4.02611, 4.10751, 4.1702, 4.17338, 4.16512, 4.10927, 4.01773, 4.07792, 4.08902, 4.08468, 4.07537, 4.01464, 4.04496, 4.08545, 4.0537, 4.08709, 4.04739, 4.0377, 3.95985, 3.92629, 3.94641, 3.94721, 3.96505, 3.99327, 3.98678, 4.02808, 4.04381, 3.99361, 3.98117, 3.90889, 3.92611, 3.86779, 3.85921, 3.80872, 3.84498, 3.7771, 3.86262, 3.89082, 3.93057, 4.05766, 4.07678, 4.03478, 3.94639, 3.90735, 3.91927, 3.83343, 3.83029, 3.91455, 3.95533, 3.94223, 3.92066, 3.88074, 3.87718, 3.94865, 3.85698, 3.83633, 3.80244, 3.81251, 3.91334, 3.94477, 3.94351, 3.94442, 3.86474, 3.8918, 3.87301, 3.86686, 3.97956, 4.03499, 3.98501, 4.07848, 3.96892, 4.00432, 3.96172, 3.9883, 3.93239, 3.95561, 3.94505, 3.98899, 3.9473, 4.00557, 4.01403, 4.06438, 4.04481, 4.03498, 4.0202, 3.9269, 3.92981, 3.91325, 3.85308, 3.8172, 3.82602, 3.79079, 3.77237, 3.79537, 3.84743, 3.82526, 3.88197, 3.82136, 3.83487, 3.87457, 3.95763, 3.98834, 3.9191, 3.82959, 3.78445, 3.86984, 3.90437, 3.8844, 3.85444, 3.78772, 3.84983, 3.88361, 3.84264, 3.89544, 3.83234, 3.82196, 3.77715, 3.7575, 3.84286, 3.8214, 3.86557, 3.87741, 3.98583, 4.06337, 4.00922, 4.00214, 4.02961, 4.04434, 3.98, 4.06617, 4.12976, 4.13395, 4.07105, 4.15621, 4.08486, 4.01225, 4.0294, 4.0035, 3.95382, 4.00926, 3.99602, 3.99975, 4.045, 4.02356, 4.01218, 3.99389, 4.0828, 4.08659, 4.00294, 3.95148, 3.99123, 4.03995, 4.03292, 4.02404, 3.92188, 3.88224, 3.88918, 3.88772, 3.95846, 3.9401, 4.01898, 4.04616, 4.04331, 4.04835, 3.95384, 3.90308, 4.00027, 4.05066, 4.03008, 4.08846, 4.1359, 4.09676, 4.17564, 4.16387, 4.17112, 4.07676, 4.04918, 4.09989, 4.04554, 4.14566, 4.03593, 4.05699, 4.00892, 3.96876, 4.00797, 4.01756, 4.02394, 4.02009, 3.96435, 3.94196, 3.94109, 4.02027, 4.02089, 3.9738, 3.96905, 3.92082, 3.96645, 3.96783, 3.96784, 3.97932, 3.86439, 3.85436, 3.85698, 3.8254, 3.87956, 3.9121, 3.91178, 3.90951, 3.96196, 3.9387, 4.00135, 3.98046, 3.9222, 3.85425, 3.78391, 3.84853, 3.87361, 3.97084, 4.03531, 4.08455, 4.01139, 3.91375, 3.99211, 4.09505, 4.03381, 3.9903, 3.95107, 3.987, 3.95477, 3.96586, 3.97501, 4.03014, 4.05306, 3.98421, 4.03968, 3.96028, 3.95413, 3.96075, 3.9077, 3.9892, 3.92585, 3.9135, 3.9138, 3.91458, 3.97873, 3.93689, 4.01772, 4.05952, 4.0665, 4.05147, 4.07538, 4.05474, 4.08419, 4.11364, 4.18359, 4.1326, 4.16527, 4.1533, 4.11482, 4.10087, 4.14686, 4.11997, 4.03153, 3.99625, 4.0526, 4.18239, 4.12628, 4.10868, 3.98185, 3.9669, 4.01305, 4.17634, 4.13177, 4.07428, 4.06142, 4.09958, 4.02478, 3.98143, 4.01546, 4.04123, 4.11336, 4.1989, 4.10539, 4.029, 3.96482, 3.94731, 4.03594, 3.96609, 3.99253, 3.94395, 3.93965, 4.05132, 4.05409, 4.10324, 4.13073, 4.09701, 4.13211, 4.18043, 4.14331, 4.17509, 4.15253, 4.14468, 4.09346, 4.15624, 4.16516, 4.11715, 4.10202, 4.18356, 4.1375, 4.11881, 4.21102, 4.18375, 4.17469, 4.1844, 4.23238, 4.18686, 4.16827, 4.25551, 4.18059, 4.12852, 4.06678, 3.99524, 3.90509, 3.85569, 3.86815, 3.91214, 3.96084, 4.01784, 4.02835, 4.01307, 4.03185, 4.09684, 4.08746, 4.04617, 4.1156, 4.07, 3.99409, 3.90193, 3.79377, 3.77156, 3.83522, 3.79247, 3.87407, 3.93696, 4.01951, 3.95438, 3.99618, 3.99502, 3.9674, 3.88513, 3.97491, 3.99685, 3.95009, 4.00366, 4.02344, 3.98311, 4.02728, 4.04637, 4.05766, 4.03613, 4.02797, 3.99415, 3.927, 3.99429, 3.9478, 4.08189, 4.12214, 4.06427, 4.01583, 4.04945, 4.10496, 4.14732, 4.04608, 4.02009, 4.01652, 4.00018, 4.02487, 4.0864, 4.18662, 4.17033, 4.22826, 4.12989, 4.12321, 4.1005, 4.20356, 4.26987, 4.25677, 4.21594, 4.3227, 4.47762, 4.42444, 4.38665, 4.34485, 4.27874, 4.3168, 4.43469, 4.41524, 4.31884, 4.32192, 4.30203, 4.32576, 4.20197, 4.1546, 4.17858, 4.19854, 4.19116, 4.17674, 4.09423, 4.08917, 4.08695, 4.01105, 3.98099, 3.97199, 4.03497, 3.98542, 3.9707, 3.94421, 3.92625, 4.00999, 3.9361, 3.89328, 3.88604, 3.9091, 3.87641, 3.82933, 3.80859, 3.82213, 3.83, 3.80443, 3.92773, 3.90484, 3.95859, 3.99408, 4.04243, 4.06663, 4.09143, 4.09539, 4.10299, 4.0076, 4.00307, 4.01283, 3.95809, 3.97423, 3.97931, 3.92854, 3.80246, 3.72553, 3.71059, 3.75827, 3.8794, 3.88267, 3.96884, 3.95497, 3.95194, 3.97662, 3.89613, 3.91607, 3.9247, 3.91934, 3.92704, 3.9401, 3.88658, 4.00899, 4.03909, 4.1199, 4.06747, 4.0415, 4.07022, 4.09305, 4.13624, 4.05137, 4.13513, 4.16376, 4.22062, 4.22396, 4.14134, 4.00742, 4.08391, 4.0627, 4.00934, 4.01156, 4.05176, 4.01188, 4.12881, 4.02198, 4.06671, 4.03135, 4.05611, 4.03669, 4.08916, 4.04222, 3.98029, 3.96438, 3.97162, 3.98324, 3.95869, 3.97628, 4.05407, 4.11053, 4.08012, 4.13498, 4.15471, 4.09975, 4.10718, 4.06964, 4.04367, 4.04497, 4.04382, 4.06289, 4.009, 3.86937, 3.95525, 3.93415, 4.00644, 4.06195, 4.04552, 4.06022, 4.09709, 4.10838, 4.08701, 4.10304, 4.22348, 4.17683, 4.14451, 4.19165, 4.12902, 4.23401, 4.25944, 4.17931, 4.22479, 4.24562, 4.17621, 4.15945, 4.15279, 4.08001, 4.076, 4.03671, 3.99762, 4.00025, 4.03731, 4.02602, 3.99284, 3.99642, 4.04504, 4.03653, 4.0137, 4.04115, 4.16224, 4.02862, 4.08864, 4.09436, 4.04151, 4.03171, 3.98935, 4.0195, 4.04907, 4.00506, 3.93679, 3.82967, 3.86017, 3.89122, 3.85936, 3.80553, 3.89281, 3.88836, 4.00188, 4.02507, 4.04026, 4.04337, 4.08262, 4.07445, 3.97804, 3.98231, 4.01966, 3.99767, 4.02878, 4.0132, 3.99416, 4.1087, 4.13628, 4.14995, 4.20941, 4.15001, 4.2039, 4.20823, 4.21874, 4.13341, 4.0745, 4.17198, 4.12074, 4.01482, 4.05661, 3.96885, 3.99567, 3.96924, 4.05883, 4.07719, 4.14868, 4.14034, 4.06064, 4.05243, 4.10772, 4.17186, 4.16319, 4.11513, 4.1486, 4.11235, 4.0117, 3.95221, 4.02833, 4.07947, 4.15378, 4.17425, 4.1202, 4.14732, 4.12172, 4.21575, 4.17179, 4.15007, 4.02559, 4.06607, 4.06318, 4.11487, 4.08147, 4.12376, 4.12511, 4.15092, 4.17617, 4.21392, 4.18799, 4.15526, 4.12012, 4.12661, 4.11936, 4.06434, 4.07963, 4.07632, 4.15902, 4.10413, 4.05378, 4.01845, 3.96389, 3.9583, 4.01321, 3.92833, 3.88372, 3.82099, 3.84389, 3.91646, 3.92255, 3.87424, 3.90738, 3.88939, 3.91476, 3.97631, 4.05824, 3.95111, 4.00477, 3.97961, 3.99869, 3.96727, 4.04005, 4.09316, 3.96972, 4.06275, 4.05539, 4.00833, 3.98166, 3.96446, 4.02702, 4.04532, 4.13227, 4.13949, 4.15568, 4.0624, 3.99434, 3.87178, 3.85721, 3.85087, 3.8284, 3.80761, 3.81093, 3.88115, 3.9019, 3.9376, 3.94652, 4.03904, 3.98144, 4.0727, 4.09356, 4.03554, 3.97715, 4.05615, 4.17603, 4.17349, 4.09045, 4.02925, 4.01743, 3.965, 4.04402, 3.98619, 3.92038, 3.9036, 3.91492, 3.87004, 3.92489, 3.84536, 3.85566, 3.88564, 3.88221, 3.81499, 3.92694, 3.90806, 3.91525, 3.88554, 3.90773, 3.88226, 3.93505, 3.92455, 3.83808, 3.87775, 3.84472, 3.82361, 3.87044, 3.87935, 3.84583, 3.81633, 3.78983, 3.74426, 3.79467, 3.86197, 3.8559, 3.7984, 3.87082, 3.91063, 3.87028, 3.92035, 3.90643, 3.94349, 3.99753, 3.99467, 4.02437, 3.91966, 4.02312, 4.07064, 4.05868, 4.15173, 4.15649, 4.21993, 4.23329, 4.12588, 4.04544, 4.1018, 4.07198, 4.04965, 4.01664, 4.02842, 4.01384, 3.94404, 3.9744, 3.98831, 3.95941, 3.93791, 3.94356, 3.91425, 3.8737, 3.82837, 3.99788, 4.10692, 4.05622, 4.15498, 4.11889, 4.04657, 4.02252, 4.0502, 4.02646, 4.00538, 3.94064, 3.94474, 3.93118, 3.94418, 4.01315, 4.09939, 4.0849, 4.01376, 3.93626, 3.96005, 3.98654, 3.92818, 3.92997, 3.93969, 3.93041, 3.97, 3.98738, 4.04991, 4.04573, 3.99604, 4.04067, 4.02096, 4.07652, 4.0361, 4.0007, 3.94483, 4.03101, 4.06602, 4.03741, 4.04168, 4.04852, 4.00779, 3.94919, 3.94798, 3.94671, 3.92707, 3.96501, 3.94892, 3.89641, 3.91858, 4.0461, 4.01802, 3.9984, 4.04813, 4.05617, 4.08458, 4.06716, 4.00023, 3.96756, 3.93154, 3.9822, 3.94013, 4.03319, 4.03767, 3.99638, 3.94865, 3.95057, 3.90982, 3.96045, 3.95471, 3.89273, 3.84938, 3.86041, 3.97339, 4.04444, 3.99167, 3.89766, 3.9624, 4.00425, 3.98462, 3.90732, 3.77958, 3.82826, 3.88137, 3.84217, 3.85731, 3.91608, 3.89217, 3.9151, 3.88376, 3.88, 3.80553, 3.83847, 3.81914, 3.8665, 3.83564, 3.88638, 3.88805, 3.84124, 3.83898, 3.96884, 3.98673, 4.00961, 3.97672, 4.02397, 4.0429, 3.94471, 4.09344, 4.02291, 4.00493, 3.94578, 3.87421, 3.93598, 3.97632, 3.92526, 3.85447, 3.89486, 3.76928, 3.73478, 3.92021, 3.92766, 3.97151, 3.91135, 3.86983, 3.89147, 3.88129, 3.91089, 3.99612, 4.09383, 4.10011, 4.13336, 4.06631, 4.04791, 4.00054, 3.99364, 4.02111, 4.0763, 4.02622, 4.02945, 4.02837, 4.01172, 3.98651, 3.97474, 3.90189, 3.9371, 3.92904, 3.8638, 3.95697, 4.01728, 4.06179, 4.10233, 3.96745, 3.98679, 4.0516, 4.09021, 4.06942, 4.02277, 4.03624, 4.0566, 4.07879, 4.08873, 4.1164, 4.07566, 4.04688, 3.92284, 3.9407, 3.99521, 3.86651, 3.98166, 3.99158, 3.97457, 4.01456, 3.9801, 3.91324, 3.91701, 3.84005, 3.85426, 3.88396, 3.90323, 3.92198, 3.86203, 3.81227, 3.88083, 3.8665, 3.95682, 4.03177, 4.08677, 4.04532, 3.98493, 3.9511, 3.8508, 3.89499, 3.89948, 3.84409, 3.87961, 3.88035, 3.92754, 3.95086, 3.97709, 3.98631, 4.04346, 4.05063, 4.13712, 4.15355, 4.13249] \n",
    "# calculated from values statistics\n",
    "vmean = [5.41192, 4.99353, 4.96779, 4.94741, 4.89151, 4.86465, 4.92238, 4.92298, 4.96091, 4.95486, 4.96919, 4.98168, 4.98851, 4.98707, 4.99191, 4.97996, 4.98597, 4.99067, 4.9864, 4.99747, 5.00965, 5.00024, 5.01557, 5.01236, 5.01616, 5.01909, 5.00762, 5.00048, 5.00709, 5.00759, 5.00688, 5.00554, 5.00835, 5.01662, 5.01733, 5.01395, 5.01911, 5.00894, 5.00767, 5.0086, 5.01216, 5.01766, 5.01618, 5.01168, 5.00938, 5.0027, 5.00952, 5.00955, 5.00637, 5.00087, 4.99876, 5.00126, 5.00795, 5.00703, 5.00456, 5.00068, 5.00109, 4.99527, 4.9984, 4.99985, 5.00279, 4.99848, 4.99559, 4.9979, 4.99998, 4.99665, 4.99145, 4.99913, 4.9991, 5.00256, 4.99835, 4.99777, 5.00014, 5.00125, 5.00241, 5.00283, 4.99826, 4.99902, 4.99794, 5.00125, 5.00229, 5.00554, 5.00611, 5.00372, 5.0041, 4.99986, 5.00129, 5.00074, 5.00547, 5.00598, 5.00238, 5.0019, 4.99873, 4.99797, 4.99784, 4.99292, 4.99357, 4.99258, 4.99138, 4.99029, 4.99521, 4.9938, 4.99332, 4.99389, 4.99426, 4.99443, 4.99243, 4.98992, 4.9897, 4.99181, 4.99185, 4.99345, 4.9939, 4.99288, 4.99189, 4.99107, 4.99201, 4.98881, 4.99122, 4.99038, 4.98871, 4.98745, 4.98546, 4.98635, 4.985, 4.98389, 4.98561, 4.98705, 4.98659, 4.98643, 4.98844, 4.98767, 4.9885, 4.98879, 4.98711, 4.98607, 4.98605, 4.98734, 4.98601, 4.98678, 4.9844, 4.98297, 4.98458, 4.98554, 4.98492, 4.98491, 4.98298, 4.98339, 4.98455, 4.98207, 4.9814, 4.97922, 4.97979, 4.97966, 4.97986, 4.97754, 4.97839, 4.98048, 4.97897, 4.97999, 4.97907, 4.97975, 4.98127, 4.98124, 4.98116, 4.98023, 4.98053, 4.98107, 4.98158, 4.98219, 4.98115, 4.98134, 4.97965, 4.9808, 4.98242, 4.98135, 4.97874, 4.97805, 4.97664, 4.97598, 4.97537, 4.97511, 4.9759, 4.97586, 4.97448, 4.97478, 4.97704, 4.97663, 4.97742, 4.97649, 4.97691, 4.97588, 4.97598, 4.97679, 4.97653, 4.97715, 4.97857, 4.97547, 4.97536, 4.9753, 4.97492, 4.97585, 4.97621, 4.97715, 4.97685, 4.97714, 4.97779, 4.97719, 4.97674, 4.97799, 4.97784, 4.97865, 4.97821, 4.97844, 4.97983, 4.97852, 4.97769, 4.97767, 4.97921, 4.98002, 4.98041, 4.98091, 4.98163, 4.98233, 4.98295, 4.98507, 4.98587, 4.98539, 4.98385, 4.98539, 4.98602, 4.98533, 4.98529, 4.98509, 4.98362, 4.98305, 4.9829, 4.98222, 4.98299, 4.98412, 4.98439, 4.98443, 4.98311, 4.9823, 4.98195, 4.98072, 4.98102, 4.98064, 4.97907, 4.97916, 4.97859, 4.97887, 4.97902, 4.98028, 4.9801, 4.97907, 4.97999, 4.98112, 4.98083, 4.98035, 4.98025, 4.98087, 4.98092, 4.98131, 4.9811, 4.9814, 4.9811, 4.98086, 4.98089, 4.98233, 4.98284, 4.98241, 4.98367, 4.98355, 4.98277, 4.98262, 4.9835, 4.98359, 4.98486, 4.98516, 4.98547, 4.98537, 4.98476, 4.98533, 4.9851, 4.98554, 4.98559, 4.9859, 4.98541, 4.98603, 4.9868, 4.98682, 4.98689, 4.98673, 4.98701, 4.98729, 4.98844, 4.98832, 4.98785, 4.98659, 4.98762, 4.98855, 4.98914, 4.98846, 4.98889, 4.98949, 4.98948, 4.99019, 4.9897, 4.98915, 4.98932, 4.98943, 4.98978, 4.98923, 4.98963, 4.99009, 4.99039, 4.98958, 4.98999, 4.98976, 4.9901, 4.9895, 4.99015, 4.98968, 4.98979, 4.99164, 4.99073, 4.99003, 4.99089, 4.9908, 4.99113, 4.99233, 4.99308, 4.99246, 4.99235, 4.99202, 4.99258, 4.99313, 4.99391, 4.99475, 4.99467, 4.99544, 4.99418, 4.99385, 4.9938, 4.99493, 4.99498, 4.9951, 4.99482, 4.99495, 4.99511, 4.99614, 4.99564, 4.99496, 4.99535, 4.99618, 4.99637, 4.99709, 4.99685, 4.99697, 4.99656, 4.99617, 4.99527, 4.99611, 4.99647, 4.99634, 4.99618, 4.99679, 4.99654, 4.99564, 4.99619, 4.99532, 4.99429, 4.9937, 4.99309, 4.99328, 4.99338, 4.99252, 4.99231, 4.99144, 4.99179, 4.99297, 4.99296, 4.99315, 4.99275, 4.993, 4.99305, 4.99272, 4.99316, 4.99313, 4.99299, 4.99355, 4.99376, 4.99436, 4.99407, 4.99416, 4.99399, 4.99328, 4.99258, 4.99194, 4.99288, 4.99347, 4.99324, 4.99337, 4.99306, 4.99281, 4.99276, 4.99277, 4.9919, 4.9921, 4.99215, 4.99178, 4.9924, 4.99198, 4.9919, 4.99156, 4.99086, 4.99011, 4.99037, 4.99005, 4.98991, 4.98971, 4.99, 4.99044, 4.99033, 4.98965, 4.98954, 4.9899, 4.99024, 4.99045, 4.99012, 4.99022, 4.99066, 4.9907, 4.99056, 4.99121, 4.99068, 4.99147, 4.99189, 4.99219, 4.99271, 4.99233, 4.99173, 4.9913, 4.99134, 4.99091, 4.99145, 4.99147, 4.99146, 4.99164, 4.99163, 4.99182, 4.99203, 4.99202, 4.99218, 4.99208, 4.9925, 4.99258, 4.99273, 4.99259, 4.99345, 4.99394, 4.99462, 4.99389, 4.99334, 4.99343, 4.99312, 4.99367, 4.99484, 4.99452, 4.99444, 4.99413, 4.994, 4.99419, 4.99391, 4.99412, 4.9944, 4.99424, 4.99426, 4.99396, 4.99399, 4.99508, 4.99509, 4.99535, 4.99434, 4.99465, 4.99439, 4.99485, 4.99514, 4.99627, 4.99685, 4.99635, 4.99701, 4.99674, 4.9971, 4.99704, 4.99733, 4.99735, 4.99728, 4.99768, 4.99793, 4.99826, 4.99758, 4.99702, 4.99686, 4.99712, 4.99701, 4.9974, 4.99757, 4.9975, 4.99797, 4.99793, 4.99839, 4.9984, 4.99945, 4.9995, 4.99976, 5.00021, 5.00045, 5.00022, 5.00021, 5.00052, 5.0011, 5.0007, 5.00054, 5.00075, 5.00074, 5.00074, 5.00029, 5.00026, 5.00009, 5.00022, 5.00047, 5.00062, 5.00061, 5.00063, 4.99994, 4.99961, 4.99947, 4.99988, 4.99958, 4.99954, 4.99966, 5.00013, 5.00013, 5.0004, 5.00068, 5.00107, 5.00101, 5.00067, 5.0007, 5.00056, 5.00014, 5.00014, 5.00004, 4.99974, 4.99963, 4.99955, 4.99876, 4.99854, 4.99895, 4.99911, 4.99975, 4.99982, 5.00005, 5.00029, 5.00039, 5.00006, 5.00002, 5.00038, 5.00023, 5.00029, 5.0002, 4.99952, 4.99956, 4.99956, 4.99934, 4.99965, 4.99968, 5.00013, 4.99946, 4.99947, 4.9999, 5.00006, 4.9997, 4.99953, 5, 4.99958, 4.99987, 4.99987, 4.99993, 4.9998, 5.00027, 5.00027, 5.00019, 5.00024, 5.00006, 4.99969, 4.99939, 4.99911, 4.99914, 4.99936, 4.99914, 4.99923, 4.9988, 4.99935, 5, 4.99986, 5.0002, 4.99991, 4.99999, 4.99939, 4.99992, 4.99974, 4.99983, 5.00019, 5.00002, 5.00016, 5.00017, 5.00058, 5.00056, 5.00057, 5.0001, 4.99978, 4.99931, 5.00009, 5.00036, 5.00044, 5.00079, 5.00065, 5.00068, 5.00122, 5.00164, 5.00162, 5.00177, 5.00178, 5.00169, 5.00174, 5.00161, 5.00186, 5.00206, 5.00187, 5.00133, 5.00134, 5.00117, 5.00124, 5.00132, 5.00151, 5.00134, 5.00097, 5.00059, 5.00076, 5.00118, 5.00167, 5.00181, 5.0019, 5.00182, 5.00174, 5.00131, 5.00137, 5.00153, 5.00164, 5.00127, 5.00158, 5.00132, 5.00126, 5.00136, 5.00153, 5.00176, 5.00199, 5.0027, 5.00312, 5.00301, 5.00339, 5.00375, 5.00378, 5.00377, 5.00348, 5.00338, 5.00306, 5.00326, 5.00391, 5.00393, 5.00419, 5.00409, 5.00356, 5.00346, 5.00328, 5.00361, 5.00342, 5.00367, 5.00339, 5.00366, 5.00306, 5.00261, 5.00252, 5.00259, 5.00242, 5.00195, 5.00217, 5.00209, 5.00142, 5.00146, 5.00166, 5.00193, 5.00165, 5.00116, 5.00143, 5.00138, 5.00078, 5.00132, 5.00137, 5.00137, 5.00149, 5.00205, 5.00175, 5.00155, 5.00158, 5.00137, 5.00144, 5.00159, 5.00186, 5.00208, 5.00219, 5.0019, 5.00193, 5.00216, 5.00197, 5.00201, 5.00199, 5.00209, 5.00192, 5.00208, 5.00218, 5.00228, 5.00211, 5.00172, 5.00169, 5.00187, 5.00195, 5.00224, 5.00291, 5.00289, 5.00324, 5.00333, 5.00276, 5.00296, 5.00307, 5.00307, 5.00332, 5.00338, 5.00379, 5.00332, 5.00376, 5.00395, 5.00425, 5.00447, 5.00433, 5.00413, 5.00458, 5.00476, 5.00479, 5.00505, 5.00511, 5.00535, 5.0055, 5.00549, 5.00515, 5.00546, 5.0053, 5.0051, 5.00447, 5.00448, 5.0045, 5.00448, 5.00482, 5.00515, 5.0044, 5.0046, 5.00478, 5.00507, 5.00548, 5.0053, 5.00569, 5.00527, 5.00515, 5.00488, 5.00501, 5.00547, 5.00522, 5.00525, 5.00522, 5.0049, 5.00513, 5.00541, 5.00564, 5.00584, 5.00564, 5.00631, 5.0065, 5.00666, 5.00694, 5.00698, 5.00695, 5.00661, 5.00684, 5.00722, 5.007, 5.00741, 5.00742, 5.00716, 5.00719, 5.00733, 5.00743, 5.00778, 5.00765, 5.00746, 5.00765, 5.0076, 5.00711, 5.00695, 5.00706, 5.0067, 5.00678, 5.00695, 5.0071, 5.00741, 5.00731, 5.00717, 5.00679, 5.00645, 5.00614, 5.00605, 5.00609, 5.00562, 5.00599, 5.00562, 5.00566, 5.00545, 5.00566, 5.00586, 5.00574, 5.00591, 5.0057, 5.00551, 5.00569, 5.0056, 5.00555, 5.00534, 5.00579, 5.00602, 5.00627, 5.0063, 5.00625, 5.00623, 5.00573, 5.00556, 5.00523, 5.0048, 5.00506, 5.00538, 5.00514, 5.00527, 5.00537, 5.00532, 5.00538, 5.00526, 5.00565, 5.00567, 5.00587, 5.00589, 5.00636, 5.00644, 5.0063, 5.00605, 5.00626, 5.00615, 5.00618, 5.0059, 5.00589, 5.00578, 5.00565, 5.0058, 5.00559, 5.00556, 5.00554, 5.00547, 5.00598, 5.00568, 5.00586, 5.00588, 5.00601, 5.00603, 5.00557, 5.00527, 5.00535, 5.00512, 5.00517, 5.00519, 5.00554, 5.00576, 5.00581, 5.00587, 5.00606, 5.00644, 5.00597, 5.00602, 5.00601, 5.00639, 5.00613, 5.00598, 5.0062, 5.00609, 5.00621, 5.00596, 5.00624, 5.00592, 5.00629, 5.00635, 5.00618, 5.00553, 5.00536, 5.00511, 5.00473, 5.0052, 5.00483, 5.00482, 5.00468, 5.00465, 5.00438, 5.00441, 5.00459, 5.00449, 5.00501, 5.00533, 5.00531, 5.00527, 5.00534, 5.00522, 5.00545, 5.00568, 5.00561, 5.00533, 5.0056, 5.0057, 5.00606, 5.0063, 5.00608, 5.00585, 5.00602, 5.00588, 5.00563, 5.00539, 5.00523, 5.00508, 5.0052, 5.00493, 5.00498, 5.00498, 5.00535, 5.00522, 5.00508, 5.00511, 5.00504, 5.00491, 5.00481, 5.0052, 5.00542, 5.00551, 5.00564, 5.00564, 5.00553, 5.00543, 5.00558, 5.00564, 5.00548, 5.00545, 5.00495, 5.00491, 5.00473, 5.00475, 5.00468, 5.00469, 5.00506, 5.00497, 5.00456, 5.00426, 5.00445, 5.00446, 5.00442, 5.00429, 5.00447, 5.00438, 5.00434, 5.00462, 5.00442, 5.00408, 5.00422, 5.00398, 5.00397] \n",
    "vvar = [0, 4.39778, 4.69045, 4.38875, 4.34292, 4.26456, 4.11021, 4.20003, 4.33025, 4.21619, 4.2115, 4.1247, 4.18168, 4.13319, 4.13119, 4.10659, 4.16614, 4.17515, 4.21249, 4.1895, 4.20444, 4.18989, 4.18319, 4.17742, 4.14505, 4.11369, 4.09321, 4.09652, 4.09941, 4.12565, 4.14752, 4.14811, 4.1461, 4.12874, 4.10058, 4.11625, 4.11891, 4.11581, 4.11235, 4.09473, 4.10092, 4.11021, 4.10156, 4.10895, 4.09887, 4.09563, 4.07628, 4.06608, 4.06724, 4.06548, 4.06662, 4.07027, 4.06737, 4.07427, 4.07654, 4.06619, 4.06232, 4.04831, 4.04902, 4.03691, 4.03222, 4.02074, 4.02343, 4.00909, 4.01901, 4.02111, 4.02594, 4.04358, 4.04677, 4.04096, 4.0273, 4.02058, 4.02048, 4.00651, 4.00418, 4.01384, 4.01829, 4.0153, 4.01152, 4.00513, 4.0029, 4.0109, 3.99832, 3.9938, 3.98761, 3.9865, 3.99694, 3.99989, 3.99891, 3.99866, 3.98863, 3.99037, 3.98704, 3.98515, 3.99685, 4.00374, 3.99851, 4.0086, 3.99773, 4.00136, 3.99638, 3.99914, 3.99326, 3.99515, 3.99361, 3.99757, 3.99324, 3.99877, 3.99965, 4.00444, 4.00288, 4.0021, 4.00125, 3.99284, 3.99248, 3.99036, 3.98435, 3.98028, 3.97949, 3.97517, 3.97199, 3.97244, 3.97563, 3.97261, 3.97613, 3.97032, 3.97003, 3.972, 3.978, 3.98048, 3.97498, 3.96739, 3.96259, 3.96823, 3.97029, 3.9682, 3.96512, 3.95922, 3.9628, 3.96486, 3.96141, 3.96452, 3.95917, 3.95748, 3.95339, 3.95087, 3.95572, 3.9534, 3.95551, 3.95581, 3.96272, 3.96846, 3.96519, 3.96526, 3.96746, 3.96917, 3.96523, 3.97094, 3.97564, 3.97684, 3.97381, 3.97986, 3.97633, 3.97253, 3.97376, 3.97247, 3.96946, 3.97302, 3.97238, 3.97272, 3.9757, 3.97465, 3.97426, 3.97318, 3.97857, 3.97938, 3.97505, 3.9722, 3.97451, 3.97767, 3.97759, 3.9774, 3.97167, 3.96904, 3.96917, 3.96856, 3.97196, 3.97083, 3.97501, 3.97674, 3.97675, 3.97744, 3.97261, 3.96973, 3.97468, 3.97724, 3.97641, 3.9797, 3.98275, 3.98149, 3.98633, 3.98671, 3.98801, 3.98405, 3.9831, 3.98608, 3.984, 3.98924, 3.98445, 3.98574, 3.98359, 3.98175, 3.98365, 3.98434, 3.98496, 3.98491, 3.98233, 3.98111, 3.98091, 3.98444, 3.98471, 3.98266, 3.98253, 3.98023, 3.98213, 3.98254, 3.9826, 3.9828, 3.97717, 3.97646, 3.97615, 3.97411, 3.97598, 3.97713, 3.97681, 3.97653, 3.97856, 3.97739, 3.97998, 3.9792, 3.97666, 3.97345, 3.96987, 3.97183, 3.97234, 3.97635, 3.97909, 3.98142, 3.97887, 3.97488, 3.97791, 3.98226, 3.98016, 3.97851, 3.97694, 3.97841, 3.97692, 3.97722, 3.97748, 3.97967, 3.98071, 3.9782, 3.98045, 3.97749, 3.97723, 3.97741, 3.97535, 3.9782, 3.97573, 3.97513, 3.97498, 3.97467, 3.97695, 3.97539, 3.97822, 3.97996, 3.98063, 3.98049, 3.98166, 3.9811, 3.98252, 3.98392, 3.98695, 3.98574, 3.98751, 3.98764, 3.98682, 3.98688, 3.98885, 3.98844, 3.98572, 3.9846, 3.98666, 3.99174, 3.99036, 3.99013, 3.98623, 3.98558, 3.9871, 3.99288, 3.99205, 3.99065, 3.99063, 3.99203, 3.98982, 3.9884, 3.98962, 3.99065, 3.99319, 3.99635, 3.99382, 3.99165, 3.98968, 3.98892, 3.9918, 3.98965, 3.99046, 3.98879, 3.98851, 3.99202, 3.99221, 3.994, 3.99525, 3.99455, 3.99599, 3.99819, 3.99753, 3.99902, 3.99879, 3.99902, 3.99779, 4.00021, 4.00108, 4.00001, 3.99996, 4.00278, 4.00181, 4.00169, 4.00493, 4.00481, 4.00499, 4.0059, 4.00769, 4.00694, 4.0069, 4.01018, 4.00862, 4.00755, 4.00601, 4.00404, 4.00137, 3.99972, 3.99949, 4.00045, 4.00164, 4.00319, 4.00356, 4.00325, 4.00386, 4.00586, 4.00583, 4.00474, 4.00678, 4.00582, 4.00375, 4.00103, 3.99769, 3.99653, 3.99775, 3.99609, 3.99786, 3.99938, 4.00173, 4.00002, 4.00111, 4.00101, 4.00022, 3.99794, 4.00017, 4.00089, 3.99947, 4.00069, 4.00115, 4.00014, 4.00132, 4.00181, 4.00231, 4.00185, 4.00169, 4.00085, 3.99904, 4.0006, 3.99936, 4.00284, 4.00407, 4.00285, 4.00175, 4.00262, 4.00427, 4.0057, 4.00327, 4.00267, 4.00264, 4.00222, 4.00282, 4.00441, 4.00726, 4.00725, 4.00914, 4.00703, 4.00714, 4.00688, 4.00972, 4.01183, 4.01215, 4.01167, 4.01491, 4.01961, 4.01931, 4.01929, 4.01913, 4.01829, 4.01984, 4.02343, 4.0239, 4.0225, 4.02321, 4.02336, 4.02461, 4.02224, 4.02147, 4.02237, 4.02317, 4.02334, 4.02339, 4.02179, 4.0218, 4.02194, 4.02031, 4.01958, 4.01937, 4.02064, 4.01946, 4.01902, 4.01828, 4.01763, 4.01942, 4.01768, 4.01646, 4.01606, 4.01628, 4.01529, 4.01392, 4.01298, 4.01287, 4.0126, 4.0116, 4.01394, 4.01327, 4.01425, 4.01502, 4.01619, 4.01686, 4.01738, 4.01751, 4.01788, 4.01593, 4.01587, 4.01619, 4.01488, 4.0151, 4.01506, 4.01387, 4.01093, 4.00875, 4.00783, 4.00825, 4.01043, 4.0102, 4.01177, 4.01141, 4.01128, 4.01166, 4.00982, 4.00994, 4.00989, 4.00961, 4.00962, 4.00975, 4.0086, 4.0111, 4.01165, 4.01342, 4.01249, 4.01205, 4.0127, 4.01328, 4.01428, 4.0127, 4.01465, 4.01548, 4.01699, 4.01733, 4.01594, 4.01341, 4.01498, 4.01468, 4.01365, 4.01373, 4.01453, 4.01378, 4.01623, 4.0143, 4.01523, 4.01469, 4.01526, 4.01501, 4.01617, 4.01539, 4.0142, 4.0138, 4.01388, 4.01415, 4.01349, 4.01366, 4.01515, 4.01635, 4.01592, 4.01706, 4.01763, 4.01681, 4.01718, 4.01657, 4.01616, 4.01624, 4.01624, 4.01669, 4.01572, 4.013, 4.01434, 4.01383, 4.01516, 4.01626, 4.01607, 4.0164, 4.01717, 4.01757, 4.01734, 4.01775, 4.02014, 4.01962, 4.01929, 4.02043, 4.01955, 4.02171, 4.0225, 4.02142, 4.02256, 4.02342, 4.02252, 4.0224, 4.0225, 4.02139, 4.02144, 4.02079, 4.02014, 4.02017, 4.0208, 4.02062, 4.02001, 4.02002, 4.0209, 4.02076, 4.02035, 4.0208, 4.02305, 4.02088, 4.02197, 4.02221, 4.02138, 4.02121, 4.02042, 4.0209, 4.02147, 4.0207, 4.01947, 4.01737, 4.01758, 4.01789, 4.0171, 4.0159, 4.01709, 4.01677, 4.01858, 4.01892, 4.0192, 4.01927, 4.02001, 4.01998, 4.01841, 4.01841, 4.01895, 4.01858, 4.01905, 4.01881, 4.01843, 4.02044, 4.02105, 4.02146, 4.0227, 4.02199, 4.02313, 4.02352, 4.02397, 4.02285, 4.02205, 4.02385, 4.0232, 4.02157, 4.02229, 4.02087, 4.02124, 4.02079, 4.02219, 4.02253, 4.02377, 4.02388, 4.02275, 4.02273, 4.02368, 4.02486, 4.02499, 4.02448, 4.02523, 4.02482, 4.0233, 4.02227, 4.02343, 4.02426, 4.02555, 4.02609, 4.02537, 4.02592, 4.0257, 4.02736, 4.02696, 4.02684, 4.02503, 4.02566, 4.02569, 4.02659, 4.02616, 4.02694, 4.0271, 4.02767, 4.02821, 4.02904, 4.02889, 4.02859, 4.0282, 4.02847, 4.02854, 4.02776, 4.02803, 4.02804, 4.0294, 4.02874, 4.02808, 4.02756, 4.02668, 4.02659, 4.02744, 4.02608, 4.02528, 4.02416, 4.02418, 4.02505, 4.02486, 4.02395, 4.02418, 4.02374, 4.02405, 4.02485, 4.02605, 4.02444, 4.02506, 4.02465, 4.02488, 4.02439, 4.02541, 4.02622, 4.02443, 4.02576, 4.02571, 4.02508, 4.02468, 4.02436, 4.02524, 4.02556, 4.0269, 4.02709, 4.02757, 4.02636, 4.02534, 4.02345, 4.02303, 4.02276, 4.02214, 4.02157, 4.02138, 4.02205, 4.02215, 4.02252, 4.02254, 4.02379, 4.02298, 4.02428, 4.02466, 4.02391, 4.02306, 4.02417, 4.02599, 4.02619, 4.02522, 4.02438, 4.02421, 4.02342, 4.02445, 4.02365, 4.02265, 4.02231, 4.02231, 4.02153, 4.02213, 4.02088, 4.02078, 4.02093, 4.02074, 4.01958, 4.02093, 4.02053, 4.02055, 4.02, 4.02012, 4.01961, 4.0201, 4.01985, 4.01852, 4.01879, 4.01818, 4.01767, 4.01809, 4.01796, 4.01736, 4.01675, 4.01617, 4.01526, 4.01558, 4.01615, 4.0159, 4.01492, 4.01565, 4.01607, 4.01539, 4.01594, 4.01563, 4.01599, 4.01657, 4.01652, 4.01688, 4.01542, 4.01666, 4.01733, 4.01721, 4.01851, 4.01878, 4.01985, 4.02026, 4.0191, 4.01817, 4.01897, 4.01869, 4.01847, 4.0181, 4.01824, 4.01805, 4.01711, 4.01743, 4.01759, 4.01714, 4.01679, 4.01678, 4.01627, 4.01561, 4.01481, 4.01687, 4.01829, 4.0177, 4.01912, 4.01882, 4.018, 4.01777, 4.01814, 4.01786, 4.01755, 4.01669, 4.01671, 4.0164, 4.01655, 4.01736, 4.0184, 4.01833, 4.01755, 4.01658, 4.01685, 4.01712, 4.01634, 4.01629, 4.01628, 4.01609, 4.01648, 4.01665, 4.01743, 4.01743, 4.01683, 4.01739, 4.01718, 4.01789, 4.01743, 4.01698, 4.01628, 4.01731, 4.01776, 4.01743, 4.01759, 4.01765, 4.01722, 4.01645, 4.01636, 4.01623, 4.01589, 4.01626, 4.01596, 4.01523, 4.01537, 4.01679, 4.01646, 4.01622, 4.01683, 4.01693, 4.01734, 4.01723, 4.0165, 4.01607, 4.0156, 4.01609, 4.01553, 4.01662, 4.01674, 4.01618, 4.01557, 4.01552, 4.01497, 4.01549, 4.01538, 4.01455, 4.0139, 4.01386, 4.01504, 4.01585, 4.01528, 4.01415, 4.01479, 4.01523, 4.015, 4.01404, 4.01239, 4.01273, 4.01318, 4.01256, 4.01257, 4.01312, 4.01273, 4.01289, 4.0124, 4.01223, 4.01119, 4.01135, 4.01095, 4.01128, 4.01073, 4.01113, 4.011, 4.0103, 4.0101, 4.01146, 4.01167, 4.01193, 4.01157, 4.01208, 4.01232, 4.01122, 4.01287, 4.01214, 4.01199, 4.01125, 4.01038, 4.01098, 4.01139, 4.01072, 4.0098, 4.01008, 4.0085, 4.00785, 4.00972, 4.00972, 4.01014, 4.00942, 4.00886, 4.00895, 4.00872, 4.00895, 4.00983, 4.01096, 4.01104, 4.01152, 4.01091, 4.0108, 4.0103, 4.01023, 4.01052, 4.01114, 4.01064, 4.01063, 4.01065, 4.01049, 4.01022, 4.01007, 4.0092, 4.0095, 4.00934, 4.00851, 4.00937, 4.01, 4.0105, 4.01104, 4.00967, 4.00977, 4.01041, 4.01091, 4.01076, 4.01035, 4.01051, 4.01076, 4.01104, 4.01119, 4.01158, 4.01123, 4.01097, 4.00964, 4.00974, 4.01025, 4.00883, 4.00991, 4.00998, 4.00978, 4.01016, 4.00982, 4.00908, 4.00901, 4.00808, 4.00807, 4.00824, 4.00831, 4.00841, 4.00767, 4.00698, 4.00755, 4.00727, 4.00812, 4.00883, 4.00944, 4.00908, 4.00845, 4.00809, 4.00698, 4.0073, 4.00718, 4.00646, 4.00665, 4.00655, 4.00693, 4.00712, 4.00734, 4.00742, 4.00799, 4.00813, 4.0091, 4.00943, 4.00933] \n",
    "len(x),len(pmean),len(pvar),len(vvar),len(vmean)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d54f343f-45af-4bd0-aef1-1c6da460b630",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'mean')"
      ]
     },
     "execution_count": 4,
     "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": [
    "start=20\n",
    "plt.plot(x[start:],pmean[start:])\n",
    "plt.plot(x[start:],vmean[start:])\n",
    "plt.plot([0,1e5],[5,5])\n",
    "plt.title(\"mean\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6e979768-0aba-4e2a-b16f-9e2e69894a7c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'variance')"
      ]
     },
     "execution_count": 5,
     "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(x[start:],pvar[start:])\n",
    "plt.plot(x[start:],vvar[start:])\n",
    "plt.plot([0,1e5],[4,4])\n",
    "plt.title(\"variance\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8cb86c8-9f70-47eb-84eb-80cc71cd16a8",
   "metadata": {},
   "source": [
    "# normal mean 5 std 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1baa93ea-b8aa-4db6-b444-59a4a8b4d1f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 1000, 1000, 1000, 1000)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x2= [0, 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900, 4000, 4100, 4200, 4300, 4400, 4500, 4600, 4700, 4800, 4900, 5000, 5100, 5200, 5300, 5400, 5500, 5600, 5700, 5800, 5900, 6000, 6100, 6200, 6300, 6400, 6500, 6600, 6700, 6800, 6900, 7000, 7100, 7200, 7300, 7400, 7500, 7600, 7700, 7800, 7900, 8000, 8100, 8200, 8300, 8400, 8500, 8600, 8700, 8800, 8900, 9000, 9100, 9200, 9300, 9400, 9500, 9600, 9700, 9800, 9900, 10000, 10100, 10200, 10300, 10400, 10500, 10600, 10700, 10800, 10900, 11000, 11100, 11200, 11300, 11400, 11500, 11600, 11700, 11800, 11900, 12000, 12100, 12200, 12300, 12400, 12500, 12600, 12700, 12800, 12900, 13000, 13100, 13200, 13300, 13400, 13500, 13600, 13700, 13800, 13900, 14000, 14100, 14200, 14300, 14400, 14500, 14600, 14700, 14800, 14900, 15000, 15100, 15200, 15300, 15400, 15500, 15600, 15700, 15800, 15900, 16000, 16100, 16200, 16300, 16400, 16500, 16600, 16700, 16800, 16900, 17000, 17100, 17200, 17300, 17400, 17500, 17600, 17700, 17800, 17900, 18000, 18100, 18200, 18300, 18400, 18500, 18600, 18700, 18800, 18900, 19000, 19100, 19200, 19300, 19400, 19500, 19600, 19700, 19800, 19900, 20000, 20100, 20200, 20300, 20400, 20500, 20600, 20700, 20800, 20900, 21000, 21100, 21200, 21300, 21400, 21500, 21600, 21700, 21800, 21900, 22000, 22100, 22200, 22300, 22400, 22500, 22600, 22700, 22800, 22900, 23000, 23100, 23200, 23300, 23400, 23500, 23600, 23700, 23800, 23900, 24000, 24100, 24200, 24300, 24400, 24500, 24600, 24700, 24800, 24900, 25000, 25100, 25200, 25300, 25400, 25500, 25600, 25700, 25800, 25900, 26000, 26100, 26200, 26300, 26400, 26500, 26600, 26700, 26800, 26900, 27000, 27100, 27200, 27300, 27400, 27500, 27600, 27700, 27800, 27900, 28000, 28100, 28200, 28300, 28400, 28500, 28600, 28700, 28800, 28900, 29000, 29100, 29200, 29300, 29400, 29500, 29600, 29700, 29800, 29900, 30000, 30100, 30200, 30300, 30400, 30500, 30600, 30700, 30800, 30900, 31000, 31100, 31200, 31300, 31400, 31500, 31600, 31700, 31800, 31900, 32000, 32100, 32200, 32300, 32400, 32500, 32600, 32700, 32800, 32900, 33000, 33100, 33200, 33300, 33400, 33500, 33600, 33700, 33800, 33900, 34000, 34100, 34200, 34300, 34400, 34500, 34600, 34700, 34800, 34900, 35000, 35100, 35200, 35300, 35400, 35500, 35600, 35700, 35800, 35900, 36000, 36100, 36200, 36300, 36400, 36500, 36600, 36700, 36800, 36900, 37000, 37100, 37200, 37300, 37400, 37500, 37600, 37700, 37800, 37900, 38000, 38100, 38200, 38300, 38400, 38500, 38600, 38700, 38800, 38900, 39000, 39100, 39200, 39300, 39400, 39500, 39600, 39700, 39800, 39900, 40000, 40100, 40200, 40300, 40400, 40500, 40600, 40700, 40800, 40900, 41000, 41100, 41200, 41300, 41400, 41500, 41600, 41700, 41800, 41900, 42000, 42100, 42200, 42300, 42400, 42500, 42600, 42700, 42800, 42900, 43000, 43100, 43200, 43300, 43400, 43500, 43600, 43700, 43800, 43900, 44000, 44100, 44200, 44300, 44400, 44500, 44600, 44700, 44800, 44900, 45000, 45100, 45200, 45300, 45400, 45500, 45600, 45700, 45800, 45900, 46000, 46100, 46200, 46300, 46400, 46500, 46600, 46700, 46800, 46900, 47000, 47100, 47200, 47300, 47400, 47500, 47600, 47700, 47800, 47900, 48000, 48100, 48200, 48300, 48400, 48500, 48600, 48700, 48800, 48900, 49000, 49100, 49200, 49300, 49400, 49500, 49600, 49700, 49800, 49900, 50000, 50100, 50200, 50300, 50400, 50500, 50600, 50700, 50800, 50900, 51000, 51100, 51200, 51300, 51400, 51500, 51600, 51700, 51800, 51900, 52000, 52100, 52200, 52300, 52400, 52500, 52600, 52700, 52800, 52900, 53000, 53100, 53200, 53300, 53400, 53500, 53600, 53700, 53800, 53900, 54000, 54100, 54200, 54300, 54400, 54500, 54600, 54700, 54800, 54900, 55000, 55100, 55200, 55300, 55400, 55500, 55600, 55700, 55800, 55900, 56000, 56100, 56200, 56300, 56400, 56500, 56600, 56700, 56800, 56900, 57000, 57100, 57200, 57300, 57400, 57500, 57600, 57700, 57800, 57900, 58000, 58100, 58200, 58300, 58400, 58500, 58600, 58700, 58800, 58900, 59000, 59100, 59200, 59300, 59400, 59500, 59600, 59700, 59800, 59900, 60000, 60100, 60200, 60300, 60400, 60500, 60600, 60700, 60800, 60900, 61000, 61100, 61200, 61300, 61400, 61500, 61600, 61700, 61800, 61900, 62000, 62100, 62200, 62300, 62400, 62500, 62600, 62700, 62800, 62900, 63000, 63100, 63200, 63300, 63400, 63500, 63600, 63700, 63800, 63900, 64000, 64100, 64200, 64300, 64400, 64500, 64600, 64700, 64800, 64900, 65000, 65100, 65200, 65300, 65400, 65500, 65600, 65700, 65800, 65900, 66000, 66100, 66200, 66300, 66400, 66500, 66600, 66700, 66800, 66900, 67000, 67100, 67200, 67300, 67400, 67500, 67600, 67700, 67800, 67900, 68000, 68100, 68200, 68300, 68400, 68500, 68600, 68700, 68800, 68900, 69000, 69100, 69200, 69300, 69400, 69500, 69600, 69700, 69800, 69900, 70000, 70100, 70200, 70300, 70400, 70500, 70600, 70700, 70800, 70900, 71000, 71100, 71200, 71300, 71400, 71500, 71600, 71700, 71800, 71900, 72000, 72100, 72200, 72300, 72400, 72500, 72600, 72700, 72800, 72900, 73000, 73100, 73200, 73300, 73400, 73500, 73600, 73700, 73800, 73900, 74000, 74100, 74200, 74300, 74400, 74500, 74600, 74700, 74800, 74900, 75000, 75100, 75200, 75300, 75400, 75500, 75600, 75700, 75800, 75900, 76000, 76100, 76200, 76300, 76400, 76500, 76600, 76700, 76800, 76900, 77000, 77100, 77200, 77300, 77400, 77500, 77600, 77700, 77800, 77900, 78000, 78100, 78200, 78300, 78400, 78500, 78600, 78700, 78800, 78900, 79000, 79100, 79200, 79300, 79400, 79500, 79600, 79700, 79800, 79900, 80000, 80100, 80200, 80300, 80400, 80500, 80600, 80700, 80800, 80900, 81000, 81100, 81200, 81300, 81400, 81500, 81600, 81700, 81800, 81900, 82000, 82100, 82200, 82300, 82400, 82500, 82600, 82700, 82800, 82900, 83000, 83100, 83200, 83300, 83400, 83500, 83600, 83700, 83800, 83900, 84000, 84100, 84200, 84300, 84400, 84500, 84600, 84700, 84800, 84900, 85000, 85100, 85200, 85300, 85400, 85500, 85600, 85700, 85800, 85900, 86000, 86100, 86200, 86300, 86400, 86500, 86600, 86700, 86800, 86900, 87000, 87100, 87200, 87300, 87400, 87500, 87600, 87700, 87800, 87900, 88000, 88100, 88200, 88300, 88400, 88500, 88600, 88700, 88800, 88900, 89000, 89100, 89200, 89300, 89400, 89500, 89600, 89700, 89800, 89900, 90000, 90100, 90200, 90300, 90400, 90500, 90600, 90700, 90800, 90900, 91000, 91100, 91200, 91300, 91400, 91500, 91600, 91700, 91800, 91900, 92000, 92100, 92200, 92300, 92400, 92500, 92600, 92700, 92800, 92900, 93000, 93100, 93200, 93300, 93400, 93500, 93600, 93700, 93800, 93900, 94000, 94100, 94200, 94300, 94400, 94500, 94600, 94700, 94800, 94900, 95000, 95100, 95200, 95300, 95400, 95500, 95600, 95700, 95800, 95900, 96000, 96100, 96200, 96300, 96400, 96500, 96600, 96700, 96800, 96900, 97000, 97100, 97200, 97300, 97400, 97500, 97600, 97700, 97800, 97900, 98000, 98100, 98200, 98300, 98400, 98500, 98600, 98700, 98800, 98900, 99000, 99100, 99200, 99300, 99400, 99500, 99600, 99700, 99800, 99900] \n",
    "\n",
    "pmean2= [4.17174, 4.94543, 4.94186, 5.02994, 5.03204, 5.04518, 5.01078, 5.00403, 4.99424, 4.99952, 5.00095, 4.99039, 4.97904, 4.97894, 4.99649, 4.98568, 4.97556, 4.99197, 4.9979, 5.00361, 5.01368, 5.01513, 4.99743, 4.99828, 5.00418, 5.02264, 5.01775, 5.02836, 5.0278, 5.03573, 5.03887, 5.0381, 5.05264, 5.05972, 5.04104, 5.04003, 5.04301, 5.03585, 5.04242, 5.03375, 5.03643, 5.02659, 5.03754, 5.03636, 5.01536, 5.02264, 5.01905, 5.02939, 5.01989, 5.02686, 5.0263, 5.01088, 4.99385, 5.00761, 4.99138, 4.97478, 4.98325, 4.97975, 4.995, 5.00354, 4.99219, 5.01025, 4.99118, 4.98421, 4.97926, 4.97211, 4.97255, 4.98593, 4.98433, 4.98034, 4.97493, 4.97981, 4.98892, 5.00043, 4.99957, 4.99209, 4.99527, 4.99032, 4.97658, 4.97167, 4.96855, 4.99016, 5.00528, 4.99978, 5.00902, 5.01345, 5.0141, 5.00252, 5.00276, 4.99747, 4.99479, 4.99621, 5.01463, 5.0159, 5.00589, 5.01089, 5.01696, 5.02439, 5.01871, 5.01503, 5.00844, 5.0126, 5.00363, 4.99995, 5.00716, 5.01391, 5.01758, 5.02955, 5.03179, 5.02865, 5.01726, 5.01729, 5.01123, 5.00286, 5.00537, 5.01683, 5.02442, 5.01838, 5.02811, 5.02775, 5.03012, 5.00822, 4.99966, 4.99365, 5.00303, 5.01524, 5.00537, 5.00968, 5.01724, 5.03578, 5.0336, 5.01861, 5.0016, 4.99834, 4.99187, 5.00602, 5.0036, 5.00199, 4.99746, 4.98675, 4.98031, 4.9766, 4.98577, 4.97439, 4.97576, 4.98815, 4.99581, 4.99851, 4.99913, 4.99566, 4.99115, 4.99198, 4.97973, 4.97883, 4.989, 4.9981, 4.98852, 4.99495, 4.98105, 4.98781, 4.97822, 4.99274, 5.00346, 5.01036, 5.00487, 5.00395, 5.00989, 5.00433, 5.01139, 5.01519, 5.01035, 5.00527, 5.02525, 5.01694, 5.02756, 5.02398, 5.01711, 5.03496, 5.01844, 5.03712, 5.03181, 5.03765, 5.01631, 5.02755, 5.0305, 5.03411, 5.0217, 5.01892, 5.02128, 5.00633, 5.01587, 5.01373, 5.00295, 5.00845, 5.0045, 4.99871, 5.01646, 5.01891, 5.00704, 5.02612, 5.03354, 5.01848, 5.03031, 5.03271, 5.03771, 5.03101, 5.0268, 5.03001, 5.03377, 5.03093, 5.02739, 5.01053, 5.013, 5.01874, 5.01005, 5.01087, 5.02905, 5.02359, 5.01959, 5.01663, 5.00501, 5.01387, 5.00938, 4.99551, 4.99845, 4.99582, 4.98931, 4.99996, 5.0032, 5.0116, 5.00454, 5.01377, 5.00431, 5.00268, 4.9992, 4.98663, 4.99348, 4.99988, 5.00766, 5.01784, 5.01913, 5.00973, 5.02076, 5.0113, 5.01222, 5.02372, 5.02275, 5.03027, 5.04072, 5.02647, 5.03416, 5.03833, 5.04471, 5.02917, 5.02874, 5.04095, 5.05192, 5.04698, 5.04022, 5.02231, 5.0241, 5.03461, 5.02758, 5.03058, 5.02953, 5.01082, 5.00528, 5.00985, 5.00779, 5.03068, 5.02988, 5.02932, 5.0382, 5.02347, 5.00793, 5.0176, 4.99554, 4.99912, 4.99903, 4.99243, 4.99947, 4.98373, 4.99753, 4.99903, 4.98551, 4.98131, 4.97933, 4.98516, 4.97043, 4.97701, 4.97673, 4.97931, 4.9865, 4.98035, 4.98148, 4.97681, 4.95459, 4.96418, 4.95876, 4.95245, 4.9825, 4.98134, 4.97994, 4.98604, 4.98349, 4.98137, 4.97843, 4.95984, 4.96919, 4.97751, 4.9768, 4.98332, 4.97244, 4.97081, 4.95836, 4.94196, 4.9643, 4.97512, 4.98275, 4.97635, 4.97254, 4.97266, 4.9548, 4.95372, 4.96743, 4.96981, 4.97853, 4.98469, 4.98242, 5.01189, 4.99164, 4.98863, 5.00535, 5.00418, 5.01275, 5.00505, 4.98862, 4.97887, 4.98548, 4.97001, 4.98668, 4.98121, 4.98805, 4.99212, 5.00625, 4.9995, 5.00617, 5.00227, 5.01024, 5.0041, 5.00771, 5.01099, 4.99728, 4.99569, 4.98674, 4.98721, 4.9909, 4.98834, 4.98635, 4.98324, 4.99299, 4.99375, 4.98261, 4.9763, 4.9935, 4.99431, 5.0024, 4.99744, 4.98171, 4.9949, 4.97609, 4.97938, 4.98457, 4.99094, 4.98754, 4.98217, 4.9685, 4.96645, 4.98035, 4.97607, 4.99283, 4.98174, 4.97864, 4.97144, 4.9907, 4.99426, 4.99603, 4.99527, 5.01395, 5.00873, 5.0042, 4.99406, 4.98974, 4.98915, 4.99301, 4.9831, 4.99024, 4.99504, 4.99664, 4.99524, 4.9997, 4.98464, 4.97411, 4.96449, 4.96852, 4.96787, 4.96937, 4.97205, 4.96055, 4.94264, 4.95938, 4.98185, 4.96515, 4.96416, 4.972, 4.96014, 4.96104, 4.95271, 4.96225, 4.96262, 4.96519, 4.97068, 4.9772, 4.9754, 4.97428, 4.99087, 5.01267, 5.02202, 5.01588, 5.02031, 4.99893, 4.99983, 4.9949, 4.99975, 4.99494, 4.99553, 4.99815, 5.01641, 5.0253, 5.03982, 5.04582, 5.03926, 5.0317, 5.03414, 5.02192, 5.01027, 4.99923, 5.00352, 5.01919, 5.00559, 4.9961, 4.99024, 4.99178, 4.99113, 5.00834, 5.00938, 5.01436, 5.01447, 5.0099, 5.00485, 4.9879, 4.98769, 4.987, 4.99686, 5.00484, 4.99432, 4.98758, 4.97899, 4.9695, 4.97696, 4.97859, 4.99192, 4.9971, 4.99994, 4.99934, 5.0056, 5.00131, 4.98581, 4.98295, 4.98338, 4.98067, 4.96346, 4.97231, 4.96118, 4.96075, 4.96233, 4.96865, 4.96302, 4.95828, 4.96818, 4.97821, 4.98273, 4.97949, 4.98183, 4.95844, 4.96839, 4.96992, 4.98187, 4.98609, 5.00322, 5.0015, 4.99353, 5.00385, 4.998, 4.98907, 4.99391, 5.00012, 4.99838, 4.99734, 5.00612, 5.02397, 5.03414, 5.0381, 5.03092, 5.04476, 5.05994, 5.04229, 5.03039, 5.0247, 5.03499, 5.0345, 5.02896, 5.02103, 5.02659, 5.02713, 5.02084, 5.02363, 5.01466, 5.02483, 5.02274, 5.02776, 5.01314, 4.99544, 4.98678, 4.97296, 4.96793, 4.96474, 4.97453, 4.9829, 4.97532, 4.98134, 4.97512, 4.9814, 4.99759, 4.99532, 4.99789, 4.99078, 4.99732, 4.99075, 4.99098, 5.00585, 5.01935, 5.03139, 5.02331, 5.0333, 5.00819, 5.02397, 5.02377, 5.00891, 4.99766, 4.99217, 4.99697, 5.00112, 5.02129, 5.00793, 5.00654, 5.02108, 5.0168, 5.01211, 5.01513, 5.01665, 5.01408, 5.00328, 4.99426, 4.99458, 4.99841, 4.9893, 4.99308, 4.99829, 5.00844, 5.00541, 4.99946, 4.99909, 5.00733, 5.00353, 5.02527, 5.01334, 5.00913, 5.00214, 4.98549, 4.96948, 4.96109, 4.96833, 4.96691, 4.97719, 4.98386, 4.99721, 4.99235, 4.99375, 4.99538, 4.99577, 4.9869, 4.97883, 4.97381, 4.98461, 4.97943, 4.97192, 4.97039, 4.9737, 4.98006, 4.96818, 4.97008, 4.95971, 4.9445, 4.94585, 4.94445, 4.95358, 4.95507, 4.94909, 4.96386, 4.96006, 4.98131, 4.98097, 4.98551, 4.99092, 5.00178, 5.01151, 4.99505, 4.99239, 4.98276, 4.97793, 4.97467, 4.9817, 4.98214, 4.98172, 4.9914, 4.99242, 4.99678, 5.00165, 5.00706, 5.01368, 5.0222, 5.01714, 5.00836, 4.98885, 4.98363, 4.98247, 4.97409, 4.96146, 4.97815, 4.99084, 4.99331, 5.00932, 5.01842, 5.02775, 5.02892, 5.02531, 5.02944, 5.0333, 5.02631, 5.0306, 5.03795, 5.02342, 5.01498, 5.00386, 4.99672, 4.9956, 5.00849, 5.00835, 5.02237, 5.02084, 5.03286, 5.02598, 5.02353, 5.02195, 5.02805, 5.0183, 5.0244, 5.02418, 5.02375, 5.01643, 5.00966, 5.02895, 5.02931, 5.02965, 5.01885, 5.0228, 5.01959, 5.00462, 5.0218, 5.02632, 5.01916, 5.03213, 5.02537, 5.01914, 5.00175, 5.01266, 5.01928, 5.00151, 4.99849, 5.01003, 5.00485, 4.99853, 5.00034, 4.99652, 5.0042, 5.01471, 5.00863, 5.02094, 5.03436, 5.02948, 5.03183, 5.01605, 5.01335, 5.00831, 5.00692, 5.01293, 5.02238, 5.0139, 5.00686, 5.00402, 5.00309, 4.99968, 4.98323, 4.96775, 4.96155, 4.94734, 4.95909, 4.94107, 4.95038, 4.96954, 4.97821, 4.97794, 4.97954, 4.97657, 4.98456, 4.98497, 4.98895, 4.99755, 4.99396, 5.00606, 4.98906, 4.99006, 4.97997, 4.99117, 4.99814, 4.98537, 4.98326, 4.96701, 4.97013, 4.98756, 4.98815, 5.0001, 5.00507, 5.00174, 5.00036, 4.99905, 5.0151, 5.03628, 5.03663, 5.05808, 5.0431, 5.05949, 5.05521, 5.04193, 5.03933, 5.03833, 5.02404, 5.01933, 5.01735, 5.02375, 5.01988, 5.01876, 5.01963, 5.00732, 5.00693, 5.01099, 5.0186, 5.00774, 5.0049, 5.01211, 5.01625, 5.00343, 5.01325, 5.015, 4.99601, 5.00663, 4.98603, 4.98896, 4.98821, 4.98898, 4.9817, 4.97148, 4.9735, 4.97098, 4.96431, 4.9751, 4.95827, 4.96449, 4.9653, 4.97516, 4.98164, 5.00303, 4.99772, 5.01023, 5.03546, 5.0311, 5.01668, 5.03538, 5.02508, 5.01595, 5.0095, 5.00596, 5.00878, 5.00918, 5.01475, 5.00448, 4.99525, 4.98413, 4.98426, 5.01273, 5.01357, 5.01739, 4.98889, 4.98737, 5.00079, 4.99806, 5.01018, 5.02049, 5.02201, 5.01193, 5.02145, 5.02291, 5.02202, 5.02998, 5.02367, 5.01291, 5.01329, 5.00908, 5.02446, 5.02521, 5.0161, 5.00312, 5.0007, 4.99971, 4.99069, 4.99913, 4.99884, 4.99343, 5.00292, 5.00243, 4.99273, 4.97108, 4.97619, 4.97862, 4.99516, 4.99514, 4.98135, 4.99654, 4.9974, 4.99494, 4.98682, 4.98493, 4.98003, 4.97233, 4.97761, 4.98593, 4.97861, 4.98363, 4.97942, 4.99925, 4.98818, 4.96864, 4.97871, 4.96798, 4.95477, 4.93265, 4.94787, 4.95609, 4.94699, 4.97324, 4.9762, 4.97747, 4.98277, 4.99541, 4.99269, 5.00078, 5.01181, 5.03018, 5.0309, 5.02753, 5.0343, 5.03477, 5.03443, 5.04779, 5.05143, 5.02918, 5.02114, 5.01074, 5.01205, 5.0156, 5.02754, 5.02314, 5.04211, 5.03265, 5.01663, 5.01706, 5.01366, 4.99614, 4.99969, 5.01351, 5.00412, 4.9953, 4.99225, 4.98547, 4.99848, 5.00109, 4.99934, 4.9943, 4.97389, 4.96818, 4.9491, 4.96219, 4.96025, 4.96459, 4.97035, 4.97459, 4.98189, 4.98676, 4.97887, 4.97645, 4.97938, 4.96457, 4.95865, 4.95297, 4.94284, 4.95212, 4.96736, 4.97153, 4.97626, 4.97605, 4.98084, 4.98457, 4.98427, 4.99924, 5.01806, 5.02256, 5.01002, 5.00077, 4.9853, 4.99793, 4.99587, 4.97874, 5.01952, 5.02639, 5.0278, 5.0442, 5.04432, 5.04463, 5.02879, 5.03292, 5.04586, 5.0397, 5.0273, 5.01568, 5.01996, 5.01588, 5.01997, 5.03859, 5.03768, 5.0395, 5.04742, 5.03439, 5.03928, 5.03395, 5.02206, 5.03725, 5.03218, 5.03013, 5.03101, 5.03458, 5.04176, 5.04025, 5.04028, 5.03033, 5.05254, 5.04136, 5.04147, 5.04649, 5.03435, 5.03108, 5.01366, 5.02408, 5.0176, 4.99768, 5.00085, 5.0039, 5.0186, 5.0192, 5.01019] \n",
    "pvar2= [0, 1.02342, 0.952173, 0.915367, 0.93662, 0.963742, 0.999482, 0.98802, 0.984941, 0.967892, 0.987956, 0.977305, 0.990462, 1.03247, 1.0086, 1.00625, 1.01265, 1.01745, 1.01778, 0.996294, 1.01547, 1.01625, 1.01549, 1.02034, 1.02925, 1.04593, 1.04241, 1.06386, 1.05208, 1.03113, 1.00614, 0.998581, 0.999173, 1.00085, 0.991114, 0.994616, 0.980853, 0.972202, 0.9834, 0.993888, 1.01391, 1.03069, 1.05713, 1.03258, 1.02435, 1.02308, 1.02394, 1.02568, 1.00463, 0.996317, 0.97373, 0.991308, 0.997901, 1.01568, 1.01273, 1.00037, 1.00782, 1.02711, 1.03748, 1.03037, 1.00743, 0.987516, 1.01233, 1.04766, 1.05046, 1.03624, 1.03203, 1.02305, 1.01805, 1.009, 0.995784, 1.00467, 0.982266, 0.990008, 0.984031, 1.01121, 1.01879, 1.02409, 1.01875, 1.03378, 1.0487, 1.05171, 1.05537, 1.06414, 1.06501, 1.07068, 1.06952, 1.06583, 1.05232, 1.04503, 1.01876, 1.02394, 1.02265, 1.02084, 0.995338, 0.980222, 0.996103, 0.99389, 1.00827, 1.00777, 1.03467, 1.03406, 1.03915, 1.0341, 1.02038, 0.995832, 0.996309, 0.973868, 0.972217, 0.964487, 0.983572, 0.990417, 0.995386, 0.995151, 0.988377, 1.01638, 1.00711, 1.01011, 1.02924, 1.05995, 1.04822, 1.02541, 1.02471, 1.009, 1.02106, 1.0099, 1.0102, 1.02724, 1.02628, 1.03507, 1.02683, 1.02491, 1.01101, 1.01026, 1.01644, 1.02541, 1.04935, 1.03136, 1.00886, 1.03315, 1.02197, 1.00475, 1.0268, 1.01999, 1.00936, 1.00618, 1.00246, 1.0095, 1.01021, 0.990363, 0.980034, 0.994149, 0.984765, 0.989356, 1.01568, 1.02365, 1.01531, 0.983171, 0.991333, 0.998275, 1.00317, 1.00489, 0.992364, 0.999988, 1.0011, 1.01681, 1.00583, 1.00747, 0.982168, 0.999564, 0.97968, 0.983057, 0.985242, 0.988501, 0.9813, 0.996897, 0.977299, 0.982923, 0.989176, 0.994706, 1.0166, 1.02021, 1.02748, 1.03942, 1.02662, 1.02699, 1.04221, 1.03848, 1.04422, 1.06465, 1.04375, 1.05577, 1.05246, 1.06816, 1.07201, 1.06012, 1.03216, 1.01653, 1.00197, 1.00033, 0.990528, 1.01838, 1.01636, 1.04081, 1.02132, 1.03407, 1.03526, 1.05435, 1.04884, 1.04019, 1.05099, 1.06624, 1.04955, 1.03394, 1.02105, 1.02, 1.05012, 1.04529, 1.06129, 1.05677, 1.05435, 1.02631, 1.02839, 1.02489, 1.03673, 1.02208, 1.03541, 1.01604, 1.00135, 0.982513, 0.9968, 0.996843, 1.0223, 1.03058, 1.01834, 1.01124, 0.999952, 1.00571, 1.02614, 1.0299, 1.03686, 1.05048, 1.04881, 1.02916, 1.03728, 1.0267, 1.04376, 1.02336, 1.00767, 1.0264, 1.05097, 1.0457, 1.04426, 1.03798, 1.02136, 1.02272, 1.01995, 0.997994, 1.00719, 1.02536, 1.04279, 1.04459, 1.06558, 1.08061, 1.07156, 1.0553, 1.03981, 1.051, 1.02231, 1.01844, 1.03303, 1.03426, 1.021, 1.01025, 1.00298, 1.00504, 0.987772, 0.980678, 1.00052, 0.971552, 0.98601, 1.03624, 1.00837, 1.00921, 1.00586, 1.01097, 1.01063, 0.991339, 0.996088, 0.975005, 0.956324, 0.944681, 0.932901, 0.952507, 0.949347, 0.946502, 0.976814, 0.973196, 0.98636, 0.995805, 1.00972, 1.00842, 1.01508, 1.03146, 1.01913, 0.989348, 0.972487, 0.985956, 0.985823, 0.976201, 0.985777, 0.988991, 0.976481, 0.985271, 0.99264, 0.985605, 0.97995, 0.983508, 0.978114, 0.972717, 0.961036, 0.952358, 0.9486, 0.929165, 0.911508, 0.943225, 0.935508, 0.935504, 0.939112, 0.940907, 0.928081, 0.923837, 0.90686, 0.898964, 0.922203, 0.927145, 0.939928, 0.945623, 0.938969, 0.941685, 0.943336, 0.939803, 0.941354, 0.966938, 0.993822, 0.96953, 0.988896, 0.983051, 0.976916, 0.971481, 0.963296, 0.940912, 0.959141, 0.955802, 0.971153, 0.97507, 0.982963, 1.01955, 1.01788, 1.03074, 1.04562, 1.01697, 0.994515, 1.01253, 1.03221, 1.02757, 1.03785, 1.02182, 1.02056, 1.0432, 1.0364, 1.03039, 1.02127, 1.02511, 1.02784, 1.02277, 1.03388, 1.03218, 1.03224, 1.02866, 1.05576, 1.05862, 1.05427, 1.04541, 1.05489, 1.03653, 1.0204, 0.999691, 0.993309, 1.01314, 1.02464, 1.02133, 1.04574, 1.04051, 1.07476, 1.05856, 1.07038, 1.03807, 1.01592, 1.02109, 1.03135, 1.02998, 1.02764, 1.01206, 1.00149, 0.975731, 0.959218, 0.962808, 0.976269, 0.968966, 0.967496, 0.984603, 0.981747, 0.988255, 0.988937, 0.979529, 0.992918, 1.01035, 1.02491, 1.03027, 0.998708, 1.00765, 1.01876, 0.990343, 1.00224, 1.01214, 0.98852, 0.982749, 0.98792, 0.990214, 0.997951, 1.00759, 0.999387, 1.0093, 1.00332, 0.991512, 0.95949, 0.959227, 0.981092, 0.971983, 0.994044, 0.984382, 0.990943, 0.974843, 0.96726, 0.973017, 0.956185, 0.9549, 0.945774, 0.9391, 0.953591, 0.951156, 0.944383, 0.953656, 0.955268, 0.945681, 0.953705, 0.971715, 0.968321, 0.985469, 0.959016, 0.951614, 0.947627, 0.955962, 0.964483, 0.968417, 0.968997, 0.966663, 0.975613, 0.983786, 0.980439, 0.984955, 0.972398, 0.996518, 0.999871, 0.995981, 0.990514, 0.995904, 0.984224, 0.981463, 0.9891, 0.973697, 0.966314, 0.979836, 0.984023, 0.985913, 0.986164, 0.99467, 0.994461, 0.975028, 0.98574, 0.987561, 0.985229, 0.980138, 0.998355, 0.993941, 0.995355, 0.995096, 1.01172, 1.01073, 1.0189, 1.00879, 1.00648, 1.0056, 0.987445, 1.01004, 0.994163, 1.00289, 1.00568, 0.994602, 0.985257, 0.999451, 0.987238, 0.977995, 0.961916, 0.960609, 0.961627, 0.95321, 0.960721, 0.980194, 0.99369, 0.997879, 0.997777, 0.991618, 0.991213, 0.980309, 0.979359, 0.992414, 1.00228, 0.996187, 0.999661, 1.00066, 0.980406, 0.978383, 0.989674, 0.990509, 0.999243, 0.996285, 0.991505, 0.995659, 1.00143, 0.988901, 0.994789, 0.993048, 1.00447, 0.996595, 1.01633, 1.00313, 0.986306, 0.982814, 1.0138, 1.01164, 0.995417, 0.980149, 0.972853, 0.965077, 0.979003, 0.979738, 0.978616, 0.970154, 0.970232, 0.96729, 0.953979, 0.951103, 0.961073, 0.957802, 0.969904, 0.96904, 0.959816, 0.95854, 0.952617, 0.944313, 0.957487, 0.931385, 0.948911, 0.952321, 0.964438, 0.97186, 0.989288, 0.979853, 0.975775, 0.982733, 0.98303, 0.977165, 0.986464, 0.996335, 1.00758, 1.0041, 1.00907, 1.01498, 1.02075, 1.01102, 1.03813, 1.02267, 1.03123, 1.02907, 1.01174, 1.01716, 1.01454, 1.00191, 1.00736, 1.00713, 1.02108, 1.01677, 1.01192, 1.00368, 0.973784, 0.998572, 0.998448, 1.0022, 0.997245, 1.01206, 1.0019, 1.00119, 1.02165, 1.01822, 1.01184, 1.01942, 1.00577, 1.00802, 1.00562, 1.00314, 1.01976, 1.01246, 0.986018, 0.993424, 0.98111, 0.979324, 0.972671, 0.968342, 0.963707, 0.997411, 1.00462, 0.996544, 0.998087, 0.987164, 0.999099, 0.989422, 0.987119, 0.99399, 0.977316, 0.995697, 0.992785, 0.995748, 1.0153, 0.99922, 0.99174, 0.994689, 1.04719, 1.05409, 1.03391, 1.02652, 1.03122, 1.01837, 1.0409, 1.05337, 1.04675, 1.04285, 1.02451, 1.02513, 1.04147, 1.03586, 1.01221, 1.01491, 1.00242, 1.00911, 1.01765, 1.03544, 1.01532, 1.01476, 1.01316, 1.01862, 1.01621, 1.00458, 0.997103, 0.980554, 0.976779, 0.977097, 0.967208, 0.994953, 1.02078, 1.03444, 1.05413, 1.04823, 1.03765, 1.03278, 1.04367, 1.04785, 1.04145, 1.0243, 1.02083, 1.02824, 1.03832, 1.03571, 1.02301, 1.03104, 1.03858, 1.03264, 1.05803, 1.04522, 1.05053, 1.05925, 1.04896, 1.05169, 1.05836, 1.02503, 0.999269, 1.01984, 1.02334, 1.02083, 1.01219, 1.01641, 1.01044, 0.996834, 1.00984, 1.01654, 1.02125, 1.00934, 1.00267, 1.00915, 1.01096, 1.00995, 0.993784, 0.991085, 0.996379, 0.979772, 0.965293, 0.957793, 1.00696, 0.988964, 0.985925, 0.98762, 0.986477, 1.00596, 0.989284, 0.976535, 1.00039, 0.997846, 0.976997, 0.968326, 0.980978, 0.974146, 0.953572, 0.942624, 0.942956, 0.941051, 0.940513, 0.932851, 0.956676, 0.960306, 0.961278, 0.958073, 0.973522, 0.99858, 0.989357, 0.990653, 0.984205, 1.00099, 0.991127, 1.02845, 1.01476, 1.03485, 1.0602, 1.02979, 1.03032, 1.03395, 1.00929, 0.997533, 1.00319, 0.981226, 0.978676, 0.978543, 0.964685, 0.983627, 0.978696, 0.994746, 0.992213, 0.994204, 1.00946, 1.01657, 1.02642, 1.00636, 1.003, 1.01653, 0.999663, 1.01044, 1.00713, 1.02141, 1.00557, 1.00102, 1.00993, 0.996411, 1.03443, 1.06575, 1.07263, 1.07161, 1.05266, 1.04475, 1.02704, 1.04659, 1.02545, 1.05748, 1.07611, 1.08012, 1.08094, 1.08467, 1.07352, 1.061, 1.0562, 1.06962, 1.08309, 1.0755, 1.06363, 1.04294, 1.0207, 1.02738, 1.00708, 1.01297, 1.0126, 1.00766, 1.01537, 1.00063, 0.988173, 0.988851, 0.991264, 1.00283, 0.985256, 0.995372, 0.99239, 0.985587, 0.968216, 0.984227, 0.973102, 0.983059, 0.988979, 0.991714, 0.993821, 0.989022, 0.969779, 0.979076, 0.955135, 0.96922, 0.966596, 0.967197, 0.985804, 1.00824, 1.01222, 1.03935, 1.0177, 1.01084, 0.992157, 1.00587, 1.02164, 1.02025, 1.00562, 1.00192, 0.995667, 1.00108, 0.990248, 0.980784, 0.972653, 0.961379, 0.978643, 0.998928, 1.00062, 0.998541, 1.01205, 1.02128, 1.00402, 0.976729, 0.969645, 0.970025, 0.989831, 0.994478, 0.98158, 0.995161, 1.00291, 0.979452, 0.959584, 0.963904, 1.00945, 1.03502, 1.01457, 1.01798, 1.01886, 1.02346, 1.02291, 1.03323, 1.02367, 1.03553, 1.03663, 1.03294, 1.03174, 1.02295, 1.01859, 1.02351, 1.03613, 1.04402, 1.03559, 1.03071, 1.02136, 1.01283, 1.00714, 1.01166, 1.00088, 1.00927, 0.989535, 0.992607, 1.00155, 0.990919, 0.998129, 0.992906, 1.00594, 1.02169, 1.01829, 1.00882, 1.01112, 0.990446, 0.98751, 0.959326, 0.970968, 0.970386, 0.960406, 0.9495, 0.947787, 0.94177, 0.950196, 0.978242, 0.978748, 0.970241, 0.963471, 0.978726, 0.982197, 1.00171, 0.980844, 0.973402, 0.9787, 0.97738, 0.970847, 0.988514, 0.959539, 0.934521, 0.941472, 0.957019, 0.965978, 0.970817, 0.961743, 0.955115, 0.977813, 0.994329, 0.945092, 0.955718, 0.969749, 0.997397, 1.00212, 1.0276, 1.03597, 1.04062, 1.05871, 1.05108, 1.02976, 1.0431, 1.02759, 1.02547, 1.02686, 1.01171, 1.01538, 1.00413, 0.982621, 0.964083, 0.944563, 0.931349, 0.943588, 0.948823, 0.946534, 0.959866, 0.943168, 0.94355, 0.942877, 0.962209, 0.990072, 0.991131, 0.99418, 0.995049, 1.01309, 1.01155, 1.00773, 0.994089, 0.990251, 1.01077, 1.01024, 1.01884, 1.01462, 1.00696, 1.02157, 1.04039, 1.04928, 1.04806, 1.03128, 1.03153] \n",
    "vmean2= [4.17174, 4.94543, 4.94186, 5.02994, 5.03204, 5.04518, 5.01078, 5.00403, 4.99424, 4.99952, 5.00095, 4.99092, 4.98101, 4.9806, 4.99336, 4.98595, 4.97991, 4.98992, 4.99346, 4.99668, 5.00221, 5.00345, 4.99542, 4.99596, 4.9989, 5.00688, 5.00553, 5.0099, 5.01034, 5.01364, 5.01561, 5.01617, 5.02159, 5.02477, 5.0201, 5.02034, 5.0217, 5.02015, 5.02234, 5.02037, 5.02157, 5.01934, 5.02215, 5.02221, 5.01741, 5.0191, 5.01841, 5.0208, 5.01887, 5.02035, 5.02046, 5.01747, 5.01382, 5.01621, 5.01283, 5.00928, 5.01015, 5.00919, 5.01151, 5.01275, 5.01064, 5.01344, 5.01023, 5.00881, 5.00767, 5.00607, 5.00562, 5.00719, 5.00663, 5.0057, 5.00453, 5.00487, 5.0058, 5.0072, 5.00702, 5.00595, 5.00617, 5.00532, 5.00327, 5.00232, 5.00155, 5.00398, 5.00573, 5.00503, 5.00607, 5.00663, 5.0068, 5.00547, 5.00542, 5.00478, 5.00436, 5.00446, 5.00644, 5.00667, 5.00565, 5.00623, 5.00696, 5.00789, 5.00749, 5.00726, 5.00664, 5.0071, 5.00627, 5.00586, 5.00655, 5.00723, 5.00769, 5.00895, 5.00933, 5.00929, 5.00831, 5.00838, 5.0079, 5.00718, 5.00733, 5.00835, 5.0091, 5.00871, 5.00961, 5.0097, 5.01005, 5.00831, 5.00757, 5.00698, 5.00763, 5.00862, 5.00788, 5.00821, 5.00884, 5.01043, 5.0105, 5.00947, 5.00822, 5.0079, 5.00736, 5.00833, 5.00814, 5.00795, 5.00757, 5.00668, 5.00605, 5.00559, 5.00606, 5.00509, 5.00496, 5.00564, 5.00607, 5.00618, 5.00616, 5.00587, 5.00549, 5.00545, 5.00455, 5.00429, 5.00479, 5.00532, 5.00462, 5.00497, 5.00399, 5.00431, 5.00354, 5.00431, 5.00493, 5.00536, 5.00503, 5.00497, 5.00535, 5.005, 5.00543, 5.00571, 5.00548, 5.00517, 5.00639, 5.00603, 5.00675, 5.00664, 5.00635, 5.00747, 5.00662, 5.00776, 5.00759, 5.00807, 5.007, 5.0077, 5.00796, 5.0083, 5.00774, 5.00767, 5.00786, 5.00711, 5.00764, 5.00758, 5.00702, 5.00726, 5.00705, 5.00673, 5.00763, 5.00778, 5.00719, 5.0082, 5.00868, 5.008, 5.00866, 5.0089, 5.00927, 5.00907, 5.00898, 5.00923, 5.00951, 5.0095, 5.00943, 5.00868, 5.00879, 5.00909, 5.0087, 5.00874, 5.00962, 5.00941, 5.00926, 5.00917, 5.00865, 5.00908, 5.00889, 5.00822, 5.00829, 5.00811, 5.00773, 5.00812, 5.00825, 5.00862, 5.00831, 5.00869, 5.00827, 5.00816, 5.00798, 5.00739, 5.00762, 5.00783, 5.00814, 5.00858, 5.00867, 5.00833, 5.00882, 5.00846, 5.00851, 5.00901, 5.00904, 5.00939, 5.00991, 5.00946, 5.00985, 5.01014, 5.01051, 5.01, 5.01007, 5.01063, 5.0112, 5.01113, 5.01099, 5.01037, 5.01048, 5.01096, 5.01077, 5.01096, 5.01099, 5.01031, 5.01008, 5.01021, 5.01014, 5.01102, 5.01106, 5.0111, 5.01151, 5.01104, 5.01049, 5.01083, 5.01001, 5.01008, 5.01004, 5.00976, 5.00998, 5.00937, 5.00979, 5.0098, 5.00925, 5.00899, 5.00883, 5.00895, 5.00834, 5.00844, 5.00832, 5.00831, 5.00847, 5.00816, 5.00809, 5.00784, 5.00694, 5.00711, 5.00677, 5.0064, 5.00725, 5.00712, 5.00698, 5.0071, 5.00695, 5.00679, 5.00661, 5.00588, 5.00606, 5.00624, 5.00612, 5.00624, 5.0058, 5.00564, 5.0051, 5.0044, 5.00494, 5.00517, 5.00533, 5.00504, 5.00482, 5.00475, 5.00408, 5.00389, 5.00418, 5.00415, 5.00433, 5.00444, 5.00431, 5.00519, 5.00457, 5.00446, 5.00494, 5.0049, 5.00514, 5.00493, 5.00442, 5.00407, 5.0042, 5.00368, 5.00409, 5.00388, 5.00402, 5.00412, 5.00451, 5.00432, 5.00452, 5.0044, 5.00464, 5.00448, 5.00459, 5.0047, 5.00431, 5.00425, 5.00396, 5.00393, 5.00399, 5.00388, 5.00378, 5.00362, 5.00385, 5.00383, 5.00349, 5.00323, 5.00365, 5.00364, 5.00385, 5.00371, 5.00324, 5.00355, 5.00299, 5.00301, 5.00309, 5.00324, 5.00311, 5.00291, 5.00249, 5.00233, 5.00261, 5.00243, 5.00282, 5.00249, 5.00235, 5.0021, 5.00254, 5.00262, 5.00265, 5.00262, 5.0031, 5.003, 5.00289, 5.00262, 5.00248, 5.00244, 5.00251, 5.00222, 5.00237, 5.00246, 5.00247, 5.00241, 5.0025, 5.00209, 5.00179, 5.00147, 5.00147, 5.00138, 5.00133, 5.00132, 5.00094, 5.0004, 5.00069, 5.00116, 5.00069, 5.00058, 5.0007, 5.00033, 5.00026, 4.99996, 5.00008, 4.99999, 4.99996, 5.00001, 5.0001, 5, 4.99991, 5.00026, 5.00078, 5.00105, 5.00095, 5.00109, 5.00061, 5.00064, 5.00051, 5.00062, 5.0005, 5.00051, 5.00057, 5.001, 5.00125, 5.00166, 5.00189, 5.00184, 5.00175, 5.00188, 5.00167, 5.00144, 5.00121, 5.0013, 5.00167, 5.00138, 5.00118, 5.00103, 5.00105, 5.00101, 5.00139, 5.00143, 5.00156, 5.0016, 5.00152, 5.00142, 5.00103, 5.001, 5.00095, 5.00113, 5.0013, 5.00107, 5.0009, 5.00068, 5.00043, 5.00055, 5.00052, 5.00078, 5.00087, 5.00093, 5.00091, 5.00105, 5.00096, 5.00061, 5.00052, 5.0005, 5.0004, 4.99999, 5.00011, 4.99981, 4.99972, 4.99967, 4.99974, 4.99955, 4.99938, 4.99951, 4.99967, 4.99973, 4.99962, 4.99963, 4.99908, 4.9992, 4.99918, 4.99938, 4.99942, 4.99975, 4.99973, 4.99955, 4.99975, 4.99965, 4.99945, 4.99954, 4.99965, 4.99961, 4.99959, 4.99976, 5.00014, 5.0004, 5.00055, 5.00048, 5.00082, 5.00122, 5.00097, 5.0008, 5.00075, 5.00101, 5.00105, 5.001, 5.00091, 5.00108, 5.00114, 5.00106, 5.00116, 5.00102, 5.00125, 5.00126, 5.0014, 5.00115, 5.00082, 5.00065, 5.00035, 5.00019, 5.00007, 5.00018, 5.0003, 5.00012, 5.00019, 5.00004, 5.00012, 5.00039, 5.00034, 5.00037, 5.00023, 5.00034, 5.00021, 5.00019, 5.00046, 5.00072, 5.00099, 5.00088, 5.00111, 5.00069, 5.001, 5.00104, 5.00079, 5.0006, 5.00049, 5.00056, 5.00064, 5.00101, 5.00079, 5.00077, 5.00105, 5.001, 5.00094, 5.00103, 5.00108, 5.00105, 5.00087, 5.00071, 5.0007, 5.00076, 5.00058, 5.00063, 5.00071, 5.00089, 5.00084, 5.00074, 5.00073, 5.00088, 5.00081, 5.00121, 5.00105, 5.001, 5.00089, 5.0006, 5.00029, 5.00009, 5.00016, 5.00008, 5.00021, 5.00029, 5.00049, 5.00041, 5.00043, 5.00044, 5.00044, 5.00028, 5.00012, 5, 5.00014, 5.00003, 4.99987, 4.9998, 4.9998, 4.99986, 4.99963, 4.99961, 4.99939, 4.99906, 4.99899, 4.99887, 4.99895, 4.99889, 4.99871, 4.99889, 4.99877, 4.99906, 4.99903, 4.99908, 4.99915, 4.99932, 4.99949, 4.99924, 4.99919, 4.99901, 4.99891, 4.99882, 4.9989, 4.99889, 4.99886, 4.99899, 4.99899, 4.99906, 4.99914, 4.99924, 4.99936, 4.99953, 4.99947, 4.99936, 4.99905, 4.99895, 4.99891, 4.99875, 4.99851, 4.99872, 4.99889, 4.99892, 4.99918, 4.99933, 4.9995, 4.99956, 4.99954, 4.99966, 4.99976, 4.9997, 4.99981, 4.99998, 4.99981, 4.99972, 4.99957, 4.99946, 4.99944, 4.99964, 4.99965, 4.99988, 4.99989, 5.00011, 5.00005, 5.00005, 5.00006, 5.0002, 5.00009, 5.00021, 5.00024, 5.00027, 5.00019, 5.00011, 5.00042, 5.00047, 5.00052, 5.0004, 5.00048, 5.00047, 5.00028, 5.00054, 5.00064, 5.00056, 5.0008, 5.00073, 5.00068, 5.00044, 5.00061, 5.00073, 5.00048, 5.00044, 5.0006, 5.00054, 5.00045, 5.00047, 5.00041, 5.00052, 5.00068, 5.00061, 5.0008, 5.00103, 5.00101, 5.00108, 5.0009, 5.00089, 5.00083, 5.00082, 5.00091, 5.00106, 5.00096, 5.00088, 5.00085, 5.00084, 5.00079, 5.00055, 5.00031, 5.00018, 4.99992, 5.00002, 4.99971, 4.99976, 4.99997, 5.00005, 5.00001, 5.00001, 4.99993, 5.00002, 5, 5.00004, 5.00015, 5.00009, 5.00024, 5.00001, 5.00001, 4.99985, 4.99998, 5.00007, 4.99989, 4.99984, 4.9996, 4.9996, 4.99981, 4.9998, 4.99995, 5.00002, 4.99998, 4.99995, 4.99994, 5.00015, 5.00047, 5.00052, 5.00086, 5.00073, 5.00102, 5.00103, 5.00092, 5.00093, 5.00097, 5.00082, 5.00079, 5.00079, 5.00089, 5.00087, 5.00088, 5.00093, 5.00078, 5.00078, 5.00084, 5.00096, 5.00084, 5.0008, 5.0009, 5.00096, 5.00081, 5.00094, 5.00098, 5.00074, 5.00088, 5.00061, 5.00063, 5.0006, 5.0006, 5.00049, 5.00032, 5.00031, 5.00024, 5.00012, 5.00022, 4.99996, 4.99999, 4.99996, 5.00005, 5.0001, 5.00036, 5.0003, 5.00046, 5.0008, 5.00079, 5.00064, 5.0009, 5.00081, 5.00072, 5.00065, 5.00061, 5.00065, 5.00066, 5.00075, 5.00063, 5.00052, 5.00037, 5.00035, 5.00069, 5.00072, 5.00079, 5.00045, 5.00041, 5.00057, 5.00053, 5.00068, 5.00083, 5.00087, 5.00076, 5.00089, 5.00094, 5.00096, 5.00108, 5.00104, 5.00093, 5.00094, 5.00091, 5.00111, 5.00115, 5.00107, 5.00092, 5.0009, 5.00089, 5.00077, 5.00086, 5.00085, 5.00077, 5.00089, 5.00088, 5.00077, 5.0005, 5.00052, 5.00053, 5.00071, 5.0007, 5.00052, 5.00069, 5.0007, 5.00067, 5.00056, 5.00052, 5.00044, 5.00032, 5.00036, 5.00043, 5.00032, 5.00036, 5.00029, 5.0005, 5.00037, 5.00012, 5.00021, 5.00006, 4.99987, 4.99956, 4.99967, 4.99971, 4.99955, 4.9998, 4.99981, 4.9998, 4.99983, 4.99996, 4.99993, 5.00001, 5.00015, 5.00037, 5.00042, 5.0004, 5.00051, 5.00056, 5.00059, 5.00079, 5.00088, 5.00067, 5.00061, 5.00051, 5.00054, 5.0006, 5.00075, 5.00073, 5.00098, 5.00092, 5.00077, 5.00079, 5.00077, 5.00057, 5.0006, 5.00077, 5.00068, 5.00059, 5.00054, 5.00045, 5.00059, 5.00061, 5.00059, 5.00054, 5.0003, 5.0002, 4.99995, 5.00004, 4.99998, 4.99998, 5.00001, 5.00003, 5.00009, 5.00012, 5.00002, 4.99997, 4.99998, 4.99979, 4.99968, 4.99958, 4.99942, 4.99946, 4.99958, 4.99959, 4.99961, 4.99958, 4.99961, 4.99963, 4.99961, 4.99977, 4.99998, 5.00005, 4.99993, 4.99984, 4.99967, 4.9998, 4.99977, 4.99958, 5.00001, 5.00011, 5.00016, 5.00036, 5.00041, 5.00045, 5.00033, 5.00041, 5.00058, 5.00056, 5.00046, 5.00036, 5.00043, 5.0004, 5.00046, 5.00068, 5.00072, 5.00077, 5.0009, 5.0008, 5.00089, 5.00088, 5.00078, 5.00096, 5.00095, 5.00096, 5.00099, 5.00106, 5.00117, 5.00119, 5.00123, 5.00117, 5.00143, 5.00137, 5.00141, 5.00151, 5.00142, 5.00142, 5.00127, 5.00139, 5.00135, 5.00116, 5.00119, 5.00123, 5.00138, 5.0014, 5.00132] \n",
    "vvar2= [-6.95624e-16, 1.02342, 0.952173, 0.915367, 0.93662, 0.963742, 0.999482, 0.98802, 0.984941, 0.967892, 0.987956, 0.977913, 0.988357, 1.02284, 1.00536, 1.00352, 1.00761, 1.01111, 1.01154, 1.00007, 1.01041, 1.01146, 1.0116, 1.01417, 1.01842, 1.0262, 1.02581, 1.03507, 1.03172, 1.02497, 1.01628, 1.01352, 1.01353, 1.01401, 1.01032, 1.01083, 1.00657, 1.00336, 1.00578, 1.00791, 1.01293, 1.0173, 1.02436, 1.01925, 1.01758, 1.01758, 1.01791, 1.0184, 1.01401, 1.01206, 1.00708, 1.01012, 1.01108, 1.01452, 1.01403, 1.0118, 1.01287, 1.01634, 1.01836, 1.01735, 1.0137, 1.01007, 1.01389, 1.01967, 1.02071, 1.01892, 1.01849, 1.01721, 1.01662, 1.01537, 1.01339, 1.01435, 1.01081, 1.01153, 1.01035, 1.01384, 1.01488, 1.01576, 1.01526, 1.01723, 1.01934, 1.01995, 1.02081, 1.0224, 1.02289, 1.02406, 1.02454, 1.02461, 1.0235, 1.023, 1.02024, 1.02087, 1.02074, 1.02063, 1.01782, 1.01591, 1.0173, 1.01693, 1.01826, 1.01802, 1.02072, 1.02085, 1.0215, 1.02113, 1.01983, 1.01739, 1.01724, 1.01488, 1.01432, 1.01319, 1.01461, 1.01497, 1.01522, 1.01504, 1.01422, 1.01661, 1.01582, 1.01599, 1.01767, 1.02056, 1.01986, 1.01812, 1.01816, 1.01692, 1.01786, 1.01695, 1.01688, 1.01821, 1.01818, 1.01907, 1.0185, 1.01834, 1.01728, 1.0172, 1.01768, 1.01832, 1.0202, 1.01905, 1.01745, 1.01926, 1.0185, 1.0173, 1.01881, 1.0184, 1.01763, 1.01729, 1.01692, 1.01733, 1.01738, 1.01594, 1.01504, 1.01573, 1.01493, 1.01504, 1.01664, 1.01718, 1.01667, 1.01452, 1.01488, 1.01517, 1.01541, 1.01542, 1.01452, 1.01485, 1.01485, 1.01577, 1.0151, 1.01512, 1.01349, 1.01438, 1.01305, 1.01308, 1.01303, 1.01302, 1.01245, 1.01322, 1.01195, 1.01211, 1.01229, 1.01248, 1.0136, 1.01384, 1.01424, 1.015, 1.01444, 1.01453, 1.01544, 1.01538, 1.01584, 1.01709, 1.0162, 1.01706, 1.01708, 1.01808, 1.01854, 1.01818, 1.01686, 1.01609, 1.01532, 1.01515, 1.01457, 1.01589, 1.0158, 1.01706, 1.0162, 1.01685, 1.017, 1.01806, 1.01802, 1.01769, 1.01836, 1.01925, 1.01863, 1.01802, 1.01747, 1.01743, 1.01892, 1.01879, 1.01965, 1.01965, 1.01967, 1.01851, 1.01864, 1.01853, 1.01912, 1.01854, 1.01917, 1.01832, 1.01762, 1.01669, 1.01721, 1.0171, 1.01819, 1.0186, 1.01809, 1.01778, 1.01725, 1.01741, 1.01829, 1.01847, 1.0188, 1.01945, 1.01947, 1.01873, 1.01912, 1.01875, 1.01949, 1.01874, 1.01811, 1.01884, 1.01991, 1.01981, 1.01989, 1.01973, 1.0191, 1.01916, 1.01909, 1.01819, 1.01849, 1.01917, 1.0199, 1.02008, 1.021, 1.02177, 1.02164, 1.0212, 1.02072, 1.0212, 1.02019, 1.02007, 1.02063, 1.02072, 1.02028, 1.01985, 1.0195, 1.01957, 1.01886, 1.01846, 1.01909, 1.01796, 1.01834, 1.02007, 1.01908, 1.01909, 1.01895, 1.01912, 1.01907, 1.0183, 1.01842, 1.01756, 1.01672, 1.01611, 1.01543, 1.01588, 1.01555, 1.01524, 1.01616, 1.01586, 1.01622, 1.01648, 1.01682, 1.01675, 1.01698, 1.01752, 1.01715, 1.01615, 1.01549, 1.01585, 1.01573, 1.01529, 1.01548, 1.01548, 1.01498, 1.01514, 1.01535, 1.01512, 1.01478, 1.01477, 1.01449, 1.01422, 1.01374, 1.01331, 1.01305, 1.01224, 1.01137, 1.01207, 1.0116, 1.01136, 1.01124, 1.01107, 1.01043, 1.01007, 1.00927, 1.00873, 1.00913, 1.00903, 1.00919, 1.00919, 1.00877, 1.00866, 1.00848, 1.00818, 1.008, 1.00858, 1.00929, 1.0085, 1.00899, 1.00874, 1.00848, 1.00821, 1.00786, 1.00706, 1.00739, 1.00714, 1.00744, 1.00746, 1.00762, 1.00864, 1.00863, 1.00904, 1.00953, 1.00879, 1.00818, 1.00865, 1.00921, 1.00912, 1.00948, 1.00909, 1.00911, 1.00976, 1.00967, 1.00957, 1.00937, 1.0095, 1.00961, 1.0095, 1.00985, 1.0099, 1.00995, 1.00992, 1.01069, 1.01091, 1.01091, 1.01081, 1.01115, 1.01076, 1.01038, 1.00984, 1.00964, 1.01012, 1.01043, 1.01036, 1.01103, 1.01099, 1.01196, 1.01171, 1.01212, 1.0114, 1.01088, 1.01105, 1.01134, 1.01137, 1.01136, 1.01104, 1.01076, 1.01007, 1.00956, 1.00954, 1.00979, 1.00957, 1.0094, 1.00971, 1.00959, 1.00969, 1.00964, 1.00938, 1.00965, 1.01005, 1.01041, 1.01057, 1.00983, 1.01003, 1.01028, 1.0096, 1.00986, 1.01008, 1.00949, 1.00931, 1.00937, 1.00939, 1.00952, 1.00972, 1.00952, 1.00975, 1.0096, 1.0093, 1.00849, 1.00838, 1.00878, 1.00853, 1.00899, 1.00873, 1.00881, 1.00841, 1.00813, 1.00816, 1.00768, 1.00755, 1.00723, 1.00693, 1.00711, 1.00693, 1.00665, 1.00673, 1.00664, 1.00631, 1.00634, 1.00665, 1.0065, 1.00681, 1.00617, 1.0059, 1.00569, 1.00576, 1.00585, 1.00585, 1.00579, 1.00564, 1.00578, 1.00588, 1.00576, 1.0058, 1.00549, 1.00595, 1.00602, 1.00592, 1.00578, 1.00587, 1.0056, 1.00549, 1.00563, 1.00526, 1.00502, 1.00525, 1.00529, 1.00529, 1.00526, 1.0054, 1.0054, 1.00494, 1.00512, 1.00511, 1.00503, 1.00488, 1.00526, 1.00514, 1.00514, 1.0051, 1.00543, 1.00544, 1.00562, 1.00544, 1.0054, 1.00539, 1.00501, 1.00543, 1.00511, 1.00527, 1.00532, 1.0051, 1.00489, 1.00517, 1.00491, 1.00468, 1.00433, 1.00426, 1.00419, 1.00392, 1.00396, 1.00429, 1.00454, 1.0046, 1.00458, 1.00446, 1.00442, 1.00417, 1.00411, 1.00432, 1.00451, 1.00439, 1.00444, 1.00445, 1.00404, 1.00397, 1.00415, 1.00414, 1.00428, 1.00422, 1.00412, 1.00418, 1.00426, 1.00402, 1.00411, 1.00405, 1.00425, 1.0041, 1.00446, 1.00423, 1.00391, 1.00382, 1.00436, 1.00433, 1.00405, 1.00375, 1.00357, 1.00336, 1.00357, 1.00353, 1.00347, 1.00326, 1.00322, 1.0031, 1.00279, 1.00265, 1.00273, 1.00259, 1.00274, 1.00265, 1.00242, 1.00232, 1.00214, 1.0019, 1.00204, 1.00148, 1.00169, 1.00166, 1.0018, 1.00186, 1.00212, 1.00194, 1.00183, 1.00192, 1.00189, 1.00175, 1.00189, 1.00205, 1.00223, 1.00217, 1.00226, 1.00236, 1.00251, 1.00237, 1.00286, 1.00264, 1.00282, 1.00284, 1.00258, 1.00269, 1.00266, 1.00247, 1.00257, 1.00257, 1.00282, 1.00278, 1.00274, 1.00261, 1.0021, 1.00248, 1.00247, 1.00252, 1.00244, 1.00268, 1.00254, 1.00256, 1.00291, 1.00289, 1.00278, 1.00293, 1.00273, 1.00276, 1.00272, 1.00266, 1.00294, 1.00283, 1.0024, 1.0025, 1.00229, 1.00221, 1.00207, 1.00195, 1.00183, 1.00234, 1.00246, 1.00234, 1.00237, 1.00218, 1.00236, 1.0022, 1.00214, 1.00224, 1.00195, 1.00222, 1.00216, 1.00218, 1.00249, 1.00226, 1.00213, 1.00217, 1.00302, 1.00319, 1.00294, 1.00286, 1.00298, 1.00281, 1.00319, 1.00345, 1.00342, 1.00343, 1.0032, 1.00323, 1.00353, 1.0035, 1.00317, 1.00321, 1.00302, 1.00314, 1.0033, 1.00359, 1.00332, 1.00333, 1.00333, 1.00344, 1.00341, 1.00326, 1.00314, 1.00288, 1.00279, 1.00276, 1.00257, 1.00294, 1.00332, 1.00356, 1.00391, 1.0039, 1.0038, 1.00375, 1.00397, 1.00409, 1.00405, 1.00385, 1.00383, 1.00397, 1.00418, 1.00419, 1.00404, 1.00419, 1.00435, 1.00431, 1.00473, 1.00462, 1.00475, 1.00495, 1.00487, 1.00497, 1.00514, 1.00472, 1.00437, 1.00468, 1.00476, 1.00475, 1.00464, 1.00471, 1.00463, 1.00444, 1.00461, 1.00472, 1.00481, 1.00466, 1.00457, 1.00466, 1.0047, 1.0047, 1.00448, 1.00444, 1.00451, 1.00426, 1.00404, 1.00386, 1.00453, 1.00426, 1.00417, 1.00417, 1.00414, 1.0044, 1.00416, 1.00395, 1.00425, 1.00421, 1.0039, 1.00374, 1.00388, 1.00376, 1.00343, 1.00321, 1.00312, 1.00302, 1.00293, 1.00274, 1.003, 1.00298, 1.00293, 1.00282, 1.00299, 1.00329, 1.00316, 1.00316, 1.00306, 1.00325, 1.00313, 1.00363, 1.0035, 1.00378, 1.00419, 1.00385, 1.00387, 1.00395, 1.00365, 1.00348, 1.00355, 1.00325, 1.0032, 1.00316, 1.00293, 1.00313, 1.00304, 1.00321, 1.00318, 1.00319, 1.00339, 1.0035, 1.00365, 1.00341, 1.00336, 1.00354, 1.00333, 1.00348, 1.00344, 1.00364, 1.00346, 1.0034, 1.00352, 1.00335, 1.00386, 1.0043, 1.00447, 1.00455, 1.00438, 1.00436, 1.00417, 1.00446, 1.00423, 1.00467, 1.00499, 1.00513, 1.00524, 1.00541, 1.00536, 1.00527, 1.00529, 1.00552, 1.00577, 1.00577, 1.0057, 1.0055, 1.00526, 1.00536, 1.00513, 1.00521, 1.00522, 1.00516, 1.00526, 1.00508, 1.00492, 1.00491, 1.00493, 1.00506, 1.00482, 1.00493, 1.0049, 1.00479, 1.00455, 1.00472, 1.00455, 1.00463, 1.00469, 1.00471, 1.00472, 1.00465, 1.00439, 1.00448, 1.00415, 1.00427, 1.00419, 1.00417, 1.00435, 1.00462, 1.00466, 1.00501, 1.00478, 1.00471, 1.00449, 1.00464, 1.00485, 1.00484, 1.00468, 1.00463, 1.00455, 1.0046, 1.00446, 1.00433, 1.0042, 1.00402, 1.00418, 1.0044, 1.00442, 1.0044, 1.00456, 1.00468, 1.0045, 1.00417, 1.00404, 1.00401, 1.00422, 1.00425, 1.00409, 1.00424, 1.00435, 1.00405, 1.00378, 1.0038, 1.00427, 1.00459, 1.00438, 1.00443, 1.00447, 1.00454, 1.00456, 1.00471, 1.00464, 1.0048, 1.00485, 1.00484, 1.00487, 1.00479, 1.00477, 1.00486, 1.00501, 1.00513, 1.00508, 1.00506, 1.00498, 1.0049, 1.00484, 1.00492, 1.00479, 1.00487, 1.00465, 1.00467, 1.00477, 1.00464, 1.00472, 1.00465, 1.00478, 1.00497, 1.00494, 1.00484, 1.00487, 1.00464, 1.00459, 1.00426, 1.00436, 1.00433, 1.00417, 1.00401, 1.00392, 1.00379, 1.00382, 1.00407, 1.00405, 1.00394, 1.00383, 1.00396, 1.00399, 1.00419, 1.00396, 1.00387, 1.00389, 1.00383, 1.00373, 1.0039, 1.00356, 1.00323, 1.00323, 1.00333, 1.00338, 1.0034, 1.00327, 1.00315, 1.00336, 1.00352, 1.00296, 1.00303, 1.00313, 1.00342, 1.00347, 1.00375, 1.00388, 1.00396, 1.0042, 1.00416, 1.00398, 1.00416, 1.00403, 1.00402, 1.00405, 1.00391, 1.00396, 1.00385, 1.00363, 1.0034, 1.00316, 1.00296, 1.00301, 1.00301, 1.00293, 1.00301, 1.0028, 1.00274, 1.00268, 1.00283, 1.0031, 1.0031, 1.00312, 1.00313, 1.0033, 1.00333, 1.00329, 1.00315, 1.0031, 1.0033, 1.00329, 1.00338, 1.00336, 1.00329, 1.00345, 1.00366, 1.0038, 1.00383, 1.0037, 1.00374] \n",
    "len(x2),len(pmean2),len(pvar2),len(vvar2),len(vmean2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1fa9cf03-5add-4211-9f01-79716923f00e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'mean')"
      ]
     },
     "execution_count": 7,
     "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(x2[start:],pmean2[start:])\n",
    "plt.plot(x2[start:],vmean2[start:])\n",
    "plt.plot([0,1e5],[5,5])\n",
    "plt.title(\"mean\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "88ce1e9b-5dc7-4f24-b2da-457a860b8c19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'variance')"
      ]
     },
     "execution_count": 8,
     "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(x2[start:],pvar2[start:])\n",
    "plt.plot(x2[start:],vvar2[start:])\n",
    "plt.plot([0,1e5],[1,1])\n",
    "plt.title(\"variance\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5da00540-db67-4433-af55-0bf9ed5ba940",
   "metadata": {},
   "source": [
    "correcting for biased mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c9d66422-b26c-4394-86fe-057e93dafaf2",
   "metadata": {},
   "outputs": [],
   "source": [
    "x3= [1, 100, 199, 298, 397, 496, 595, 694, 793, 892, 991, 1090, 1189, 1288, 1387, 1486, 1585, 1684, 1783, 1882, 1981, 2080, 2179, 2278, 2377, 2476, 2575, 2674, 2773, 2872, 2971, 3070, 3169, 3268, 3367, 3466, 3565, 3664, 3763, 3862, 3961, 4060, 4159, 4258, 4357, 4456, 4555, 4654, 4753, 4852, 4951, 5050, 5149, 5248, 5347, 5446, 5545, 5644, 5743, 5842, 5941, 6040, 6139, 6238, 6337, 6436, 6535, 6634, 6733, 6832, 6931, 7030, 7129, 7228, 7327, 7426, 7525, 7624, 7723, 7822, 7921, 8020, 8119, 8218, 8317, 8416, 8515, 8614, 8713, 8812, 8911, 9010, 9109, 9208, 9307, 9406, 9505, 9604, 9703, 9802, 9901, 10000, 10099, 10198, 10297, 10396, 10495, 10594, 10693, 10792, 10891, 10990, 11089, 11188, 11287, 11386, 11485, 11584, 11683, 11782, 11881, 11980, 12079, 12178, 12277, 12376, 12475, 12574, 12673, 12772, 12871, 12970, 13069, 13168, 13267, 13366, 13465, 13564, 13663, 13762, 13861, 13960, 14059, 14158, 14257, 14356, 14455, 14554, 14653, 14752, 14851, 14950, 15049, 15148, 15247, 15346, 15445, 15544, 15643, 15742, 15841, 15940, 16039, 16138, 16237, 16336, 16435, 16534, 16633, 16732, 16831, 16930, 17029, 17128, 17227, 17326, 17425, 17524, 17623, 17722, 17821, 17920, 18019, 18118, 18217, 18316, 18415, 18514, 18613, 18712, 18811, 18910, 19009, 19108, 19207, 19306, 19405, 19504, 19603, 19702, 19801, 19900, 19999, 20098, 20197, 20296, 20395, 20494, 20593, 20692, 20791, 20890, 20989, 21088, 21187, 21286, 21385, 21484, 21583, 21682, 21781, 21880, 21979, 22078, 22177, 22276, 22375, 22474, 22573, 22672, 22771, 22870, 22969, 23068, 23167, 23266, 23365, 23464, 23563, 23662, 23761, 23860, 23959, 24058, 24157, 24256, 24355, 24454, 24553, 24652, 24751, 24850, 24949, 25048, 25147, 25246, 25345, 25444, 25543, 25642, 25741, 25840, 25939, 26038, 26137, 26236, 26335, 26434, 26533, 26632, 26731, 26830, 26929, 27028, 27127, 27226, 27325, 27424, 27523, 27622, 27721, 27820, 27919, 28018, 28117, 28216, 28315, 28414, 28513, 28612, 28711, 28810, 28909, 29008, 29107, 29206, 29305, 29404, 29503, 29602, 29701, 29800, 29899, 29998, 30097, 30196, 30295, 30394, 30493, 30592, 30691, 30790, 30889, 30988, 31087, 31186, 31285, 31384, 31483, 31582, 31681, 31780, 31879, 31978, 32077, 32176, 32275, 32374, 32473, 32572, 32671, 32770, 32869, 32968, 33067, 33166, 33265, 33364, 33463, 33562, 33661, 33760, 33859, 33958, 34057, 34156, 34255, 34354, 34453, 34552, 34651, 34750, 34849, 34948, 35047, 35146, 35245, 35344, 35443, 35542, 35641, 35740, 35839, 35938, 36037, 36136, 36235, 36334, 36433, 36532, 36631, 36730, 36829, 36928, 37027, 37126, 37225, 37324, 37423, 37522, 37621, 37720, 37819, 37918, 38017, 38116, 38215, 38314, 38413, 38512, 38611, 38710, 38809, 38908, 39007, 39106, 39205, 39304, 39403, 39502, 39601, 39700, 39799, 39898, 39997, 40096, 40195, 40294, 40393, 40492, 40591, 40690, 40789, 40888, 40987, 41086, 41185, 41284, 41383, 41482, 41581, 41680, 41779, 41878, 41977, 42076, 42175, 42274, 42373, 42472, 42571, 42670, 42769, 42868, 42967, 43066, 43165, 43264, 43363, 43462, 43561, 43660, 43759, 43858, 43957, 44056, 44155, 44254, 44353, 44452, 44551, 44650, 44749, 44848, 44947, 45046, 45145, 45244, 45343, 45442, 45541, 45640, 45739, 45838, 45937, 46036, 46135, 46234, 46333, 46432, 46531, 46630, 46729, 46828, 46927, 47026, 47125, 47224, 47323, 47422, 47521, 47620, 47719, 47818, 47917, 48016, 48115, 48214, 48313, 48412, 48511, 48610, 48709, 48808, 48907, 49006, 49105, 49204, 49303, 49402, 49501, 49600, 49699, 49798, 49897, 49996, 50095, 50194, 50293, 50392, 50491, 50590, 50689, 50788, 50887, 50986, 51085, 51184, 51283, 51382, 51481, 51580, 51679, 51778, 51877, 51976, 52075, 52174, 52273, 52372, 52471, 52570, 52669, 52768, 52867, 52966, 53065, 53164, 53263, 53362, 53461, 53560, 53659, 53758, 53857, 53956, 54055, 54154, 54253, 54352, 54451, 54550, 54649, 54748, 54847, 54946, 55045, 55144, 55243, 55342, 55441, 55540, 55639, 55738, 55837, 55936, 56035, 56134, 56233, 56332, 56431, 56530, 56629, 56728, 56827, 56926, 57025, 57124, 57223, 57322, 57421, 57520, 57619, 57718, 57817, 57916, 58015, 58114, 58213, 58312, 58411, 58510, 58609, 58708, 58807, 58906, 59005, 59104, 59203, 59302, 59401, 59500, 59599, 59698, 59797, 59896, 59995, 60094, 60193, 60292, 60391, 60490, 60589, 60688, 60787, 60886, 60985, 61084, 61183, 61282, 61381, 61480, 61579, 61678, 61777, 61876, 61975, 62074, 62173, 62272, 62371, 62470, 62569, 62668, 62767, 62866, 62965, 63064, 63163, 63262, 63361, 63460, 63559, 63658, 63757, 63856, 63955, 64054, 64153, 64252, 64351, 64450, 64549, 64648, 64747, 64846, 64945, 65044, 65143, 65242, 65341, 65440, 65539, 65638, 65737, 65836, 65935, 66034, 66133, 66232, 66331, 66430, 66529, 66628, 66727, 66826, 66925, 67024, 67123, 67222, 67321, 67420, 67519, 67618, 67717, 67816, 67915, 68014, 68113, 68212, 68311, 68410, 68509, 68608, 68707, 68806, 68905, 69004, 69103, 69202, 69301, 69400, 69499, 69598, 69697, 69796, 69895, 69994, 70093, 70192, 70291, 70390, 70489, 70588, 70687, 70786, 70885, 70984, 71083, 71182, 71281, 71380, 71479, 71578, 71677, 71776, 71875, 71974, 72073, 72172, 72271, 72370, 72469, 72568, 72667, 72766, 72865, 72964, 73063, 73162, 73261, 73360, 73459, 73558, 73657, 73756, 73855, 73954, 74053, 74152, 74251, 74350, 74449, 74548, 74647, 74746, 74845, 74944, 75043, 75142, 75241, 75340, 75439, 75538, 75637, 75736, 75835, 75934, 76033, 76132, 76231, 76330, 76429, 76528, 76627, 76726, 76825, 76924, 77023, 77122, 77221, 77320, 77419, 77518, 77617, 77716, 77815, 77914, 78013, 78112, 78211, 78310, 78409, 78508, 78607, 78706, 78805, 78904, 79003, 79102, 79201, 79300, 79399, 79498, 79597, 79696, 79795, 79894, 79993, 80092, 80191, 80290, 80389, 80488, 80587, 80686, 80785, 80884, 80983, 81082, 81181, 81280, 81379, 81478, 81577, 81676, 81775, 81874, 81973, 82072, 82171, 82270, 82369, 82468, 82567, 82666, 82765, 82864, 82963, 83062, 83161, 83260, 83359, 83458, 83557, 83656, 83755, 83854, 83953, 84052, 84151, 84250, 84349, 84448, 84547, 84646, 84745, 84844, 84943, 85042, 85141, 85240, 85339, 85438, 85537, 85636, 85735, 85834, 85933, 86032, 86131, 86230, 86329, 86428, 86527, 86626, 86725, 86824, 86923, 87022, 87121, 87220, 87319, 87418, 87517, 87616, 87715, 87814, 87913, 88012, 88111, 88210, 88309, 88408, 88507, 88606, 88705, 88804, 88903, 89002, 89101, 89200, 89299, 89398, 89497, 89596, 89695, 89794, 89893, 89992, 90091, 90190, 90289, 90388, 90487, 90586, 90685, 90784, 90883, 90982, 91081, 91180, 91279, 91378, 91477, 91576, 91675, 91774, 91873, 91972, 92071, 92170, 92269, 92368, 92467, 92566, 92665, 92764, 92863, 92962, 93061, 93160, 93259, 93358, 93457, 93556, 93655, 93754, 93853, 93952, 94051, 94150, 94249, 94348, 94447, 94546, 94645, 94744, 94843, 94942, 95041, 95140, 95239, 95338, 95437, 95536, 95635, 95734, 95833, 95932, 96031, 96130, 96229, 96328, 96427, 96526, 96625, 96724, 96823, 96922, 97021, 97120, 97219, 97318, 97417, 97516, 97615, 97714, 97813, 97912, 98011, 98110, 98209, 98308, 98407, 98506, 98605, 98704, 98803, 98902, 99001, 99100, 99199, 99298, 99397, 99496, 99595, 99694, 99793, 99892, 99991] \n",
    "pmean3= [5.1468, 5.10811, 5.03827, 4.98351, 5.0235, 5.01385, 4.97664, 4.99328, 4.98344, 4.98895, 4.97805, 4.98737, 4.98485, 4.99342, 4.99939, 5.00068, 4.99796, 4.99149, 4.9963, 4.99215, 4.99896, 4.98372, 4.97862, 4.98269, 4.99736, 4.99344, 5.0103, 4.99381, 5.00179, 4.99867, 4.99337, 4.98443, 4.98364, 4.98144, 4.96565, 4.96344, 4.95771, 4.96316, 4.96547, 4.96713, 4.9604, 4.95641, 4.97225, 4.96581, 4.96831, 4.97654, 4.98015, 4.95759, 4.95659, 4.95773, 4.95972, 4.96723, 4.97943, 4.97913, 4.98596, 4.99834, 5.0032, 5.0032, 4.99577, 4.98649, 4.98747, 4.97976, 4.99185, 4.99206, 4.98574, 4.99076, 5.00124, 5.00824, 5.00864, 5.00978, 5.00639, 5.01278, 5.02539, 5.03446, 5.02457, 5.02007, 5.01037, 5.00817, 4.98168, 4.97464, 4.99829, 5.00673, 5.00981, 4.99901, 5.00893, 5.0186, 5.02117, 5.02262, 5.02024, 5.01433, 5.00571, 5.00525, 4.9954, 4.99332, 4.98613, 4.99079, 4.97912, 4.98471, 4.99952, 5.00105, 4.99933, 4.98914, 4.98188, 4.962, 4.96991, 4.98859, 5.00703, 5.02453, 5.02824, 5.0327, 5.017, 5.02534, 5.03774, 5.04181, 5.01353, 5.00615, 5.00094, 4.99298, 4.99314, 4.98761, 4.98334, 4.98367, 4.99258, 5.00444, 4.99618, 5.00737, 5.00649, 4.99814, 5.00885, 5.01352, 5.00491, 5.00467, 4.99575, 5.00297, 4.99735, 4.99584, 4.99275, 5.00705, 5.0035, 5.01675, 5.00169, 4.99775, 5.00245, 5.00973, 4.99546, 4.98814, 4.98416, 4.99693, 4.98812, 4.99304, 4.98854, 4.98816, 4.97578, 4.96987, 4.98053, 4.98181, 4.97919, 4.96128, 4.98683, 4.98232, 5.00322, 5.00681, 5.00755, 5.01755, 5.02306, 5.02299, 5.02777, 5.02104, 5.01172, 5.00878, 5.0088, 5.01405, 5.02337, 5.00195, 5.01516, 5.012, 5.01846, 4.99784, 5.00442, 5.00172, 5.00412, 5.01556, 5.0306, 5.02631, 5.02465, 5.01288, 5.00559, 4.99743, 4.97578, 4.97738, 4.98011, 4.9858, 4.98778, 4.98471, 4.975, 4.97458, 4.9826, 4.98362, 4.97598, 4.97115, 4.95706, 4.94968, 4.94886, 4.93998, 4.94471, 4.94504, 4.94681, 4.93688, 4.95027, 4.96484, 4.96271, 4.96525, 4.96504, 4.95215, 4.95038, 4.94609, 4.96036, 4.96524, 4.94411, 4.94085, 4.93988, 4.93863, 4.92617, 4.93933, 4.94306, 4.95447, 4.95776, 4.97262, 4.97319, 4.97362, 4.96974, 4.97595, 4.98613, 4.98509, 4.97436, 4.9824, 4.97916, 4.97321, 4.97831, 5.00028, 5.00918, 5.00877, 4.99851, 5.00417, 5.01206, 5.01008, 5.00016, 4.99544, 4.99941, 5.01453, 5.01228, 5.00879, 5.01932, 5.02307, 5.03537, 5.03551, 5.03391, 5.02195, 5.01541, 5.01147, 5.01272, 5.0176, 5.00217, 4.99607, 4.98401, 4.99773, 4.98279, 4.99373, 5.00041, 5.008, 4.99456, 4.98975, 5.00672, 5.01953, 5.02071, 5.01731, 4.9979, 4.99476, 4.98941, 4.98139, 4.98501, 4.95921, 4.96852, 4.98148, 4.98012, 4.97237, 4.98503, 4.96566, 4.96264, 4.9831, 4.97982, 4.9917, 4.98422, 4.99235, 4.99742, 4.98576, 4.98318, 4.96966, 4.97675, 4.98096, 4.98503, 4.99712, 4.99443, 4.9956, 4.99615, 4.99096, 4.97466, 4.98487, 4.98606, 4.99068, 4.99029, 5.00335, 5.01339, 5.01292, 5.02094, 5.01994, 5.01324, 5.00041, 4.98893, 4.99658, 5.00431, 5.00537, 5.02351, 5.02799, 5.0295, 5.04472, 5.03905, 5.03137, 5.03004, 5.02551, 5.01924, 5.01102, 5.02088, 5.01407, 5.00786, 5.00639, 5.00069, 4.99867, 5.01201, 5.02771, 5.02767, 5.03432, 5.02364, 5.01312, 5.01826, 5.01716, 5.00074, 4.9942, 5.01114, 5.00647, 5.01036, 4.99964, 4.99688, 5.01206, 4.99422, 5.00034, 4.99824, 5.01495, 5.02899, 5.02965, 5.03551, 5.02128, 5.01683, 5.02743, 5.02274, 5.03236, 5.02597, 5.02599, 5.02149, 5.02949, 5.0266, 5.0285, 5.02073, 5.00427, 5.01327, 5.02283, 5.02619, 5.03785, 5.03709, 5.03575, 5.03803, 5.03206, 5.02638, 5.02526, 5.01743, 5.01818, 5.03046, 5.02581, 5.02212, 5.03133, 5.0159, 5.01808, 5.01165, 4.99758, 5.00602, 5.01754, 5.021, 5.00935, 5.02026, 5.01725, 5.01561, 5.01227, 5.00281, 4.99311, 4.99542, 5.00978, 4.99591, 5.00377, 5.00396, 4.9976, 5.00242, 5.00168, 4.98992, 4.97812, 4.97497, 4.97932, 4.98172, 4.99877, 4.98733, 4.99674, 4.99225, 5.00531, 4.99609, 4.98255, 4.98825, 5.00051, 4.99919, 5.0037, 4.98778, 4.97994, 4.98862, 4.99924, 4.98582, 4.99576, 4.99289, 4.97312, 4.9742, 4.98432, 4.97952, 4.97684, 4.9948, 4.97348, 4.97871, 4.99777, 4.97313, 4.97561, 4.96963, 4.97177, 4.981, 4.99559, 4.98135, 4.98304, 4.97904, 4.98009, 4.9942, 4.98832, 4.99318, 5.0006, 5.00163, 5.0145, 5.00966, 5.01889, 5.0153, 4.99506, 4.9797, 4.99552, 4.98331, 4.99181, 4.9903, 4.99724, 4.98908, 5.0118, 5.00651, 5.00558, 5.00604, 5.00973, 5.01289, 4.99021, 5.00083, 5.0057, 5.01554, 5.01822, 5.00429, 5.02531, 5.02043, 5.0419, 5.03556, 5.02927, 5.02108, 5.02201, 5.00552, 5.00919, 5.0042, 5.01012, 5.01535, 5.00636, 5.00344, 4.99566, 4.99855, 4.98968, 4.99038, 4.99717, 5.01962, 5.00835, 5.0109, 5.01527, 5.01095, 5.01466, 5.00885, 4.99948, 4.99002, 4.98755, 4.99385, 4.98476, 4.98135, 4.9703, 4.9718, 4.97601, 4.99924, 4.99027, 4.97839, 4.99168, 4.98452, 4.97928, 4.99047, 5.00039, 4.9921, 4.99569, 4.98518, 4.99593, 5.00422, 5.01281, 5.02476, 5.02482, 5.01463, 5.00565, 4.99544, 4.98106, 4.9769, 4.96389, 4.96896, 4.98023, 5.00037, 4.99758, 5.00141, 5.00615, 5.00988, 5.0031, 5.01861, 5.01129, 5.01148, 4.99612, 5.00048, 5.00328, 5.00346, 4.99849, 5.00593, 5.00358, 4.99343, 4.99408, 4.98863, 4.98202, 4.98347, 5.00844, 5.00411, 4.9998, 5.00798, 5.00925, 5.00043, 5.00973, 5.02769, 5.01089, 5.00246, 4.99284, 4.98421, 4.9771, 4.97252, 4.97218, 4.96276, 4.98728, 4.98345, 4.97761, 4.96925, 4.95701, 4.95235, 4.96435, 4.95508, 4.94478, 4.94182, 4.94535, 4.94278, 4.96986, 4.9682, 4.96743, 4.97371, 4.96338, 4.96137, 4.95672, 4.9602, 4.97259, 4.97185, 4.95307, 4.95541, 4.95037, 4.96133, 4.96389, 4.97085, 4.98407, 4.99672, 4.99078, 4.98777, 4.97074, 4.98314, 4.98964, 5.00124, 5.0083, 5.00901, 5.01177, 5.00921, 5.0022, 4.99285, 5.00201, 5.01159, 5.00513, 5.01824, 5.00738, 4.99252, 4.99672, 5.0024, 5.00071, 5.01541, 5.01277, 5.00467, 5.00571, 5.01346, 5.027, 5.02554, 5.01794, 5.01512, 5.01328, 5.02114, 5.03194, 5.0399, 5.04316, 5.03505, 5.04388, 5.03324, 5.02344, 5.03978, 5.04329, 5.0171, 5.0348, 5.04488, 5.03914, 5.04029, 5.04519, 5.0433, 5.04779, 5.0314, 5.04776, 5.04959, 5.0295, 5.02085, 5.00728, 5.01058, 5.01702, 5.02171, 4.99726, 4.99496, 5.01649, 5.01106, 5.01753, 5.01591, 5.01053, 5.01312, 5.01315, 5.01229, 5.01668, 5.00336, 5.01442, 5.0125, 5.0038, 5.00279, 4.99806, 5.00492, 5.00922, 5.00869, 5.0113, 5.00975, 4.98194, 4.97094, 4.98401, 4.98708, 4.97727, 4.97291, 4.9662, 4.97188, 4.97161, 4.97318, 4.97455, 4.98933, 5.00601, 5.02273, 5.00193, 4.98731, 4.98182, 4.97359, 4.9552, 4.96651, 4.9842, 4.97862, 4.98475, 4.97543, 4.99137, 4.99886, 5.01525, 5.02653, 5.01844, 5.01616, 5.00617, 4.99569, 4.9869, 4.98751, 4.99165, 5.00014, 4.99568, 4.9938, 4.99529, 4.99782, 5.00326, 5.00708, 4.99388, 4.97772, 4.98285, 4.99455, 4.99512, 4.98566, 4.99232, 4.98117, 4.99785, 5.00931, 5.00006, 5.00517, 4.99361, 4.97366, 4.98071, 4.97209, 4.97186, 4.98133, 4.97956, 4.99138, 5.00982, 5.00593, 5.02283, 5.02283, 5.00984, 5.00805, 5.00024, 5.00495, 4.9956, 4.99823, 5.0064, 5.0132, 5.01461, 5.02575, 5.03655, 5.02258, 5.01993, 5.02366, 5.02076, 5.03045, 5.01841, 5.00589, 5.00083, 5.00436, 4.99526, 4.98197, 4.99911, 5.00942, 5.0059, 5.02577, 5.00736, 4.99959, 4.99417, 4.997, 5.00165, 4.99513, 4.99126, 5.00247, 4.99494, 4.98738, 4.96208, 4.95207, 4.95095, 4.96759, 4.98732, 4.99263, 4.99866, 5.01705, 5.01095, 5.00528, 4.992, 5.00777, 5.01343, 5.01253, 5.01534, 5.01795, 5.03084, 5.02576, 5.0232, 5.01885, 5.00686, 4.98939, 4.99782, 5.00503, 5.01047, 5.01073, 5.01645, 5.01768, 5.01343, 5.0223, 5.01866, 5.01558, 5.01018, 5.00676, 4.99464, 4.9929, 4.98669, 4.97653, 4.9768, 4.9658, 4.97111, 4.97068, 4.9873, 4.98227, 4.98593, 4.98982, 4.98427, 4.98783, 5.00857, 5.00516, 4.99448, 4.99051, 5.007, 5.00238, 5.01812, 5.01647, 5.02406, 5.02033, 5.02348, 5.0286, 5.02602, 5.0325, 5.04068, 5.03369, 5.05315, 5.05514, 5.04756, 5.04566, 5.04983, 5.04536, 5.04573, 5.05304, 5.04464, 5.03401, 5.02561, 5.02984, 5.02498, 5.03331, 5.02364, 5.01599, 5.02103, 5.01603, 5.00242, 4.9978, 4.98103, 4.98042, 4.98015, 4.98548, 4.98872, 4.99434, 4.98071, 5.00243, 4.99877, 4.99371, 4.99284, 4.99782, 4.98599, 4.97115, 4.96028, 4.96686, 4.95499, 4.97132, 4.95904, 4.96488, 4.96542, 4.97377, 4.99259, 4.99362, 4.98832, 4.99956, 4.9917, 4.98806, 4.98918, 4.99691, 4.98332, 4.99918, 5.00538, 5.01901, 5.02126, 5.01346, 4.99468, 5.00339, 4.99438, 4.98974, 4.98895, 4.99881, 5.00465, 4.99868, 4.98233, 4.99793, 5.01048, 5.00749, 4.99288, 5.00073, 4.9889, 4.98128, 4.96777, 4.96615, 4.97821, 4.96978, 4.97256, 4.97841, 4.96502, 4.98371, 4.97494, 4.97169, 4.97037, 4.97321, 4.98531, 4.98101, 4.99047, 5.00533, 5.0081, 5.02008, 5.03105, 5.01765, 5.01953, 5.01173, 5.00876, 5.01297, 4.98745, 4.9727, 4.97534, 4.98678, 4.98435, 4.99451, 4.99287, 4.98662, 4.99841, 5.00815, 5.02265, 5.01827, 5.0179, 5.01992, 5.02493, 5.02134, 5.01905, 5.02027, 5.01782, 5.02122, 5.01236, 5.01167, 5.01652, 5.00099, 4.98819, 4.99357, 4.98191, 4.98959, 4.97723, 4.97124, 4.97258, 4.98145, 4.97827, 4.97972, 4.99368, 4.99877, 4.99856, 4.99087, 4.98202, 5.00628, 4.99893, 5.00273, 4.99373, 4.99977, 4.99921, 4.99624, 4.99407, 4.99888, 4.99533, 4.98906, 4.99833, 4.99974, 5.01322, 5.01578, 5.00237, 5.01848, 5.00289, 5.01468, 5.00019, 4.99165] \n",
    "pvar3= [0.0528319, 0.907895, 0.869105, 0.957437, 1.02881, 1.05532, 1.03798, 1.07121, 1.06303, 1.06099, 1.05413, 1.04445, 1.03277, 1.01645, 1.00658, 0.975772, 0.977041, 0.97673, 0.991282, 0.970984, 0.967518, 0.961965, 0.972788, 0.981777, 0.97725, 0.962217, 0.953965, 0.966245, 0.956763, 0.966505, 0.975067, 0.973099, 0.968892, 0.968834, 0.965412, 0.983032, 0.990429, 0.964925, 0.977624, 0.976557, 0.988624, 0.984971, 0.985591, 0.977515, 0.975262, 0.955118, 0.959162, 0.962575, 0.957024, 0.942434, 0.928138, 0.943442, 0.945264, 0.955617, 0.977334, 0.992677, 0.958554, 0.969707, 0.979941, 0.99843, 1.00136, 1.00207, 0.980638, 0.99989, 0.996421, 0.983174, 0.994589, 0.982978, 0.981024, 0.994605, 0.975686, 0.983461, 1.01428, 1.03603, 1.0363, 1.03373, 1.03297, 1.02196, 1.0431, 1.04787, 1.03446, 1.03104, 1.00948, 1.00479, 0.98733, 0.992491, 0.991888, 0.989397, 1.01661, 1.0203, 1.00051, 1.00745, 0.998618, 0.999515, 1.00605, 0.995322, 0.992793, 0.985549, 0.966768, 0.953184, 0.929037, 0.955728, 0.959922, 0.959725, 0.9431, 0.951385, 0.969474, 0.956941, 0.940587, 0.952346, 0.998206, 0.979116, 0.987741, 1.0098, 1.01044, 1.00175, 1.03168, 1.03108, 1.02143, 1.01436, 1.00892, 1.00085, 1.03135, 1.02708, 1.01942, 1.00619, 1.00429, 1.0159, 1.03133, 1.02151, 1.0247, 1.03179, 1.04157, 1.03265, 1.02534, 1.00879, 1.00685, 0.991425, 0.998817, 1.00062, 1.004, 1.00981, 1.00259, 1.0243, 1.01868, 1.01805, 0.995871, 0.990494, 0.98616, 0.994195, 1.00591, 0.981728, 0.987735, 0.974285, 0.985457, 0.977742, 1.00444, 1.02874, 1.02233, 1.00288, 0.979365, 0.967999, 0.971351, 0.978887, 0.973683, 0.972508, 0.982232, 0.989567, 0.961255, 0.9815, 0.964666, 0.979453, 0.97021, 0.989183, 0.988722, 0.985332, 0.988316, 0.9707, 0.960058, 0.950533, 0.946149, 0.949039, 0.966268, 0.95334, 0.92591, 0.91386, 0.9282, 0.926648, 0.950299, 0.958492, 0.979013, 0.959204, 0.960398, 0.943585, 0.948489, 0.955343, 0.995128, 1.01087, 1.0129, 0.997954, 0.968494, 0.960404, 0.951418, 0.950602, 0.950922, 0.951603, 0.951478, 0.948497, 0.970283, 0.967372, 0.953034, 0.963152, 0.964769, 0.944567, 0.930041, 0.922693, 0.936291, 0.945397, 0.947051, 0.952882, 0.952877, 0.947837, 0.935644, 0.962688, 0.961054, 0.971158, 0.955095, 0.954008, 0.95039, 0.955926, 0.959827, 0.941786, 0.965192, 0.974693, 0.968406, 0.976936, 0.979835, 0.989369, 0.989585, 1.01455, 1.00369, 1.01489, 1.01154, 0.993428, 1.00228, 0.984409, 0.97609, 0.981421, 0.992806, 0.991467, 0.993783, 0.992852, 0.986426, 0.996498, 1.02001, 1.00472, 0.999651, 0.987232, 1.0045, 0.99744, 0.999404, 1.00087, 0.983618, 0.975032, 0.969045, 0.958161, 0.957934, 0.941778, 0.933331, 0.958916, 0.963959, 0.978852, 0.971118, 0.96936, 0.987829, 0.983353, 0.962915, 0.947539, 0.959102, 0.953127, 0.957952, 0.956886, 0.973538, 0.959416, 0.98345, 0.986249, 0.985839, 0.980924, 0.999425, 1.01039, 1.0154, 1.00257, 1.00367, 1.02616, 1.05605, 1.06717, 1.05402, 1.03595, 1.04466, 1.05474, 1.06014, 1.0561, 1.05198, 1.03772, 1.0479, 1.04947, 1.03771, 1.02967, 1.01475, 1.00299, 1.0072, 1.0045, 1.00227, 1.03879, 1.0181, 1.01467, 0.994951, 0.997745, 0.989689, 0.978296, 0.990079, 0.992508, 0.973074, 0.997958, 0.985052, 0.988093, 0.978655, 0.998408, 1.00922, 1.01602, 1.01363, 1.00688, 1.02191, 1.00527, 1.0201, 1.02067, 1.03573, 1.04824, 1.04566, 1.03283, 1.02236, 1.03802, 1.03451, 1.03088, 1.01366, 0.989636, 0.992039, 1.00714, 1.01185, 1.00448, 0.99079, 0.971649, 0.970515, 0.997884, 1.0037, 1.02032, 1.00488, 0.984695, 0.976581, 0.977004, 0.95923, 0.967075, 0.974081, 0.972417, 0.985973, 0.995577, 1.00887, 1.01189, 1.01154, 1.01583, 1.01623, 1.00724, 1.01897, 1.01439, 1.01144, 1.00074, 1.01558, 1.02234, 1.01813, 1.01077, 1.00261, 1.00208, 0.996841, 1.01537, 1.02516, 1.01722, 1.01168, 1.02827, 1.04397, 1.03749, 1.01318, 1.00418, 0.995876, 0.991215, 0.989694, 0.9812, 0.978877, 0.984353, 0.979084, 0.968606, 0.971916, 0.966825, 0.968328, 0.995507, 0.972448, 0.959932, 0.963973, 0.968634, 0.945054, 0.959648, 0.963608, 0.954326, 0.958419, 0.966367, 0.970256, 0.973633, 0.99439, 0.98503, 0.963781, 0.970835, 0.984905, 1.01285, 1.01687, 1.02097, 1.03769, 1.04363, 1.04646, 1.03139, 1.07242, 1.08064, 1.04656, 1.03253, 1.03622, 1.02048, 1.01414, 1.00643, 0.983147, 0.973914, 0.947838, 0.919731, 0.938681, 0.955882, 0.959902, 0.987315, 1.01855, 0.991604, 0.991298, 1.00584, 1.0232, 1.04001, 1.04562, 1.02699, 1.03561, 1.00976, 0.98671, 0.988446, 0.979983, 0.982873, 0.958823, 0.967596, 0.980783, 0.981836, 0.984078, 0.998345, 1.02932, 1.01117, 1.02, 1.00098, 0.997555, 1.00087, 0.994942, 1.00786, 1.02935, 1.02344, 1.03349, 1.03629, 1.02101, 1.02939, 1.01786, 1.00678, 1.01134, 1.00558, 0.989837, 1.00966, 0.990708, 0.998978, 0.991847, 1.00645, 1.0049, 1.00718, 1.01181, 0.992347, 0.996851, 0.986442, 0.99175, 0.974743, 0.981389, 0.98162, 0.968743, 0.958548, 0.96081, 0.953264, 0.977019, 0.976184, 0.971128, 0.984527, 0.965166, 0.928198, 0.968623, 0.956378, 0.968962, 0.964023, 0.954322, 0.952953, 0.960499, 0.943596, 0.937737, 0.915359, 0.904762, 0.907533, 0.910487, 0.916346, 0.919198, 0.939128, 0.940206, 0.931961, 0.938704, 0.953163, 0.955879, 0.957547, 0.965965, 0.962868, 0.9418, 0.940975, 0.932323, 0.957885, 0.958116, 0.956888, 0.957856, 0.950096, 0.969121, 0.990599, 0.993472, 1.01472, 1.00554, 1.00166, 1.01241, 1.01095, 1.00828, 1.03106, 1.01149, 1.01766, 1.04831, 1.05123, 1.041, 1.01777, 1.01945, 1.00524, 1.00067, 0.993112, 0.991273, 0.996313, 0.989178, 0.99798, 1.0056, 1.01073, 1.0029, 1.00991, 1.00981, 0.992609, 0.980163, 0.983729, 1.00364, 1.03176, 1.04468, 1.02082, 1.01826, 1.03225, 1.03371, 1.02423, 1.01553, 1.02336, 1.04143, 1.05127, 1.05391, 1.04899, 1.04669, 1.05057, 1.0496, 1.03605, 1.03406, 1.03111, 1.02409, 1.03656, 1.04992, 1.03463, 1.0726, 1.05681, 1.04948, 1.0359, 1.01763, 1.01743, 1.00951, 1.02308, 1.01416, 1.00705, 0.988146, 0.981119, 0.988058, 1.00266, 1.00329, 0.998727, 0.998236, 0.987841, 0.986152, 0.97732, 0.974932, 0.964078, 0.970512, 0.984264, 0.981598, 0.991242, 0.972881, 0.969882, 0.986329, 0.984604, 0.987359, 0.969524, 0.987545, 0.992, 1.0016, 0.984584, 0.983196, 0.974707, 0.967656, 0.979449, 0.980247, 0.966267, 0.969954, 0.991835, 0.982061, 0.995797, 1.00036, 1.05524, 1.04151, 1.02755, 1.02488, 1.02973, 1.02327, 1.00987, 1.01275, 1.01853, 1.00385, 0.99596, 0.977225, 0.969307, 0.982697, 0.986925, 0.994177, 0.997074, 0.993366, 1.02758, 1.04557, 1.0773, 1.06947, 1.04371, 1.03876, 1.05578, 1.068, 1.0842, 1.08871, 1.08742, 1.10067, 1.07093, 1.06638, 1.05662, 1.06189, 1.03588, 1.01706, 1.01827, 1.00781, 1.02592, 1.00158, 0.996795, 1.00261, 0.985169, 0.975855, 0.966072, 0.963841, 0.958309, 0.981148, 0.980787, 0.969566, 0.974349, 0.974209, 0.977254, 0.974235, 0.977157, 0.979333, 0.962409, 0.965277, 0.968448, 0.968886, 0.980319, 0.972412, 0.990007, 0.995185, 0.995379, 1.01239, 1.02105, 1.01885, 1.0248, 1.00101, 1.00489, 1.00591, 1.00398, 1.00859, 1.00109, 1.01593, 1.01962, 1.01898, 1.02494, 1.00794, 1.01668, 1.01004, 1.00531, 1.01915, 0.989788, 1.00448, 1.00605, 1.02403, 1.03295, 1.05072, 1.04326, 1.02254, 1.02747, 1.01049, 1.00823, 1.00961, 1.03272, 1.02135, 1.02756, 1.02179, 1.00808, 1.02147, 1.01962, 1.0206, 1.02042, 1.01643, 1.02414, 1.00925, 1.00347, 1.00822, 1.01509, 1.02347, 1.01102, 1.01456, 1.018, 0.998061, 0.97522, 0.965665, 0.970009, 0.994463, 1.00177, 1.02943, 1.03123, 1.01389, 1.01067, 1.00776, 1.0095, 0.995224, 0.99431, 0.994449, 0.979624, 0.985144, 0.986984, 0.994786, 0.990877, 0.998208, 0.991325, 0.997122, 0.9795, 0.96727, 0.976575, 0.96864, 0.964885, 0.967797, 0.955463, 0.960648, 0.972884, 0.97024, 0.986681, 1.00461, 1.00274, 0.990701, 0.994056, 0.981632, 0.988121, 0.978971, 0.981807, 0.985863, 0.995478, 0.987326, 0.992253, 1.0034, 0.990553, 0.999044, 0.98654, 0.976481, 0.977471, 0.980939, 0.99369, 0.985347, 0.987653, 0.986982, 1.00547, 0.99159, 0.999465, 0.999528, 0.988218, 0.997447, 1.02558, 1.01071, 1.02694, 1.0072, 0.99618, 1.03232, 1.02753, 1.02379, 1.01876, 1.03399, 1.02604, 1.00181, 1.00956, 1.0414, 1.04401, 1.05281, 1.04964, 1.0645, 1.07564, 1.03785, 1.02097, 1.00475, 0.996828, 0.99607, 1.018, 1.00632, 1.03635, 1.03294, 1.03061, 1.01085, 0.995715, 0.981551, 0.9819, 0.974966, 1.01366, 0.997254, 0.99894, 0.992384, 1.01424, 1.02615, 1.00601, 0.993701, 0.988707, 1.01095, 1.00283, 1.00749, 0.987131, 0.977243, 0.966246, 0.957334, 0.942831, 0.93447, 0.968361, 0.94373, 0.967325, 0.961814, 0.977866, 0.967401, 0.962312, 0.958973, 0.98201, 0.997933, 1.00453, 1.02117, 1.03218, 1.02146, 1.02139, 1.01786, 1.01674, 1.00995, 1.02028, 1.04774, 1.05393, 1.03123, 1.01815, 1.02471, 1.01213, 1.01043, 1.01871, 1.02417, 1.00323, 0.99771, 0.989828, 0.991097, 0.978155, 0.950978, 0.940442, 0.961642, 0.959585, 0.975865, 0.985363, 0.998425, 1.00063, 1.00759, 0.999823, 1.0031, 0.994284, 0.997452, 1.01172, 1.02325, 1.01246, 1.01372, 1.02161, 1.0054, 1.00238, 1.00726, 1.00589, 1.0148, 1.01299, 0.970869, 0.995473, 0.98629, 0.998857, 1.00094, 1.00613, 0.987637, 0.98522, 0.978293, 1.0019, 0.996767, 0.996166, 1.00097, 1.0119, 1.02434, 0.996079, 0.995354, 0.999808, 0.99751, 0.986218, 1.00868, 1.02606, 1.01761, 1.02877, 1.04949, 1.05863, 1.04314, 1.05626, 1.06045, 1.04488, 1.03159, 1.01968, 1.02203, 1.00213, 0.993208, 1.01288, 1.00683, 1.00911, 0.988523, 0.959415, 0.968708, 0.958812, 0.954381, 0.935176, 0.9347, 0.929834, 0.924223, 0.918626, 0.944114, 0.966081, 0.965114, 0.968648, 0.972715, 0.953794, 0.939142, 0.941557, 0.93576, 0.944885, 0.969241, 0.992924, 1.01347, 1.00987, 1.01137, 1.01633, 1.0164, 1.00568, 1.00389, 0.989755, 1.00216, 0.99486, 1.04624, 1.02446, 1.0258, 1.02572, 1.00285, 0.995471, 1.01212, 1.03466, 1.02748, 1.01055, 1.01025] \n",
    "vmean3= [10.2936, 5.15919, 5.06358, 5.00023, 5.03615, 5.02396, 4.985, 5.00047, 4.98972, 4.99455, 4.98308, 4.99132, 4.98913, 4.99599, 5.00023, 5.00104, 4.99909, 4.99484, 4.9974, 4.995, 4.99829, 4.99049, 4.98783, 4.98924, 4.99538, 4.99365, 5.00048, 4.9943, 4.99733, 4.99619, 4.9944, 4.99115, 4.99063, 4.98959, 4.98454, 4.98334, 4.98119, 4.98201, 4.98215, 4.98218, 4.98018, 4.97862, 4.98199, 4.98009, 4.98032, 4.98214, 4.98291, 4.97767, 4.97693, 4.97678, 4.97679, 4.978, 4.98028, 4.98028, 4.98152, 4.98397, 4.9852, 4.9855, 4.9845, 4.98304, 4.98323, 4.98197, 4.98401, 4.98414, 4.9832, 4.98405, 4.98588, 4.98716, 4.98753, 4.98802, 4.98779, 4.98902, 4.9912, 4.993, 4.99216, 4.99197, 4.99094, 4.99091, 4.9875, 4.9865, 4.98943, 4.9906, 4.99115, 4.99, 4.99136, 4.99268, 4.99329, 4.99388, 4.99397, 4.99356, 4.99273, 4.99287, 4.99192, 4.99166, 4.99089, 4.99134, 4.99005, 4.99052, 4.99208, 4.99231, 4.9922, 4.9912, 4.99047, 4.98833, 4.98885, 4.99057, 4.9924, 4.99427, 4.99488, 4.99562, 4.99446, 4.99546, 4.99691, 4.99766, 4.9954, 4.99485, 4.99446, 4.9938, 4.9938, 4.99332, 4.9929, 4.99287, 4.99357, 4.99464, 4.99401, 4.995, 4.99507, 4.99443, 4.99537, 4.99582, 4.99525, 4.99533, 4.99472, 4.99534, 4.99495, 4.99486, 4.99463, 4.99569, 4.99549, 4.99659, 4.99558, 4.99534, 4.99574, 4.99631, 4.99537, 4.99484, 4.99452, 4.99535, 4.99472, 4.99505, 4.99466, 4.99458, 4.99372, 4.99319, 4.99375, 4.99377, 4.99352, 4.99223, 4.99376, 4.99343, 4.99476, 4.99504, 4.99518, 4.9959, 4.99637, 4.99651, 4.99695, 4.99665, 4.99619, 4.9961, 4.99618, 4.99659, 4.99726, 4.9961, 4.99694, 4.99685, 4.99735, 4.99625, 4.99663, 4.99651, 4.99669, 4.9974, 4.99839, 4.99831, 4.99836, 4.99782, 4.99747, 4.99705, 4.99586, 4.99583, 4.99587, 4.99609, 4.99614, 4.99591, 4.99532, 4.99518, 4.99551, 4.9955, 4.99504, 4.99472, 4.99387, 4.99331, 4.99306, 4.99239, 4.99237, 4.99216, 4.99203, 4.99128, 4.99169, 4.99224, 4.99201, 4.99198, 4.99182, 4.99105, 4.99078, 4.99038, 4.99087, 4.99096, 4.9898, 4.98945, 4.98918, 4.9889, 4.98809, 4.98844, 4.98839, 4.98873, 4.98873, 4.98927, 4.98921, 4.98917, 4.98893, 4.98912, 4.98954, 4.98949, 4.98898, 4.98929, 4.98911, 4.98882, 4.98899, 4.98992, 4.99035, 4.99042, 4.99004, 4.99031, 4.99072, 4.99073, 4.99039, 4.99022, 4.99042, 4.99111, 4.9911, 4.99104, 4.99156, 4.99182, 4.99245, 4.99262, 4.9927, 4.99237, 4.99222, 4.99214, 4.99227, 4.99254, 4.99201, 4.99182, 4.99137, 4.9919, 4.99132, 4.99173, 4.99202, 4.99235, 4.99187, 4.99169, 4.99235, 4.9929, 4.99303, 4.99298, 4.99233, 4.99224, 4.99204, 4.99173, 4.99183, 4.99083, 4.99106, 4.99148, 4.99139, 4.99108, 4.99148, 4.99075, 4.99054, 4.99119, 4.99103, 4.99142, 4.99114, 4.9914, 4.99158, 4.99117, 4.99106, 4.99055, 4.99073, 4.99082, 4.99094, 4.99135, 4.99128, 4.99133, 4.99138, 4.99122, 4.99066, 4.99098, 4.991, 4.99115, 4.99114, 4.99159, 4.99197, 4.99202, 4.99237, 4.99243, 4.99228, 4.99193, 4.99157, 4.99181, 4.99209, 4.99216, 4.99279, 4.99304, 4.9932, 4.99381, 4.99377, 4.99367, 4.99375, 4.99372, 4.99361, 4.99343, 4.9938, 4.99367, 4.99354, 4.99354, 4.9934, 4.99336, 4.99379, 4.99435, 4.99444, 4.99474, 4.99453, 4.99428, 4.99448, 4.99451, 4.99408, 4.99389, 4.99441, 4.9943, 4.99445, 4.99417, 4.99409, 4.99456, 4.99408, 4.99427, 4.99422, 4.99473, 4.99521, 4.99532, 4.99559, 4.99529, 4.99522, 4.99559, 4.99555, 4.99591, 4.99582, 4.9959, 4.99585, 4.99614, 4.99615, 4.99628, 4.99614, 4.99575, 4.99603, 4.99633, 4.9965, 4.9969, 4.997, 4.99706, 4.99723, 4.99718, 4.9971, 4.99715, 4.99702, 4.9971, 4.99749, 4.99746, 4.99743, 4.99776, 4.99743, 4.99753, 4.99742, 4.99708, 4.99732, 4.99765, 4.99779, 4.99754, 4.99787, 4.99783, 4.99783, 4.99779, 4.99758, 4.99733, 4.99738, 4.99776, 4.99743, 4.99764, 4.99766, 4.99752, 4.99764, 4.99764, 4.99733, 4.99701, 4.99688, 4.99693, 4.99696, 4.99736, 4.99706, 4.99727, 4.99715, 4.99745, 4.99723, 4.99689, 4.99701, 4.99729, 4.99727, 4.99738, 4.997, 4.99679, 4.99698, 4.99721, 4.99689, 4.99711, 4.99704, 4.99656, 4.99653, 4.99672, 4.99657, 4.99647, 4.99685, 4.99634, 4.99643, 4.99684, 4.99625, 4.99625, 4.99606, 4.99605, 4.99621, 4.99652, 4.99619, 4.99619, 4.99607, 4.99606, 4.99635, 4.99621, 4.99631, 4.99648, 4.99653, 4.99684, 4.99678, 4.99702, 4.99699, 4.99657, 4.99622, 4.99653, 4.99625, 4.99642, 4.99637, 4.99651, 4.99633, 4.99683, 4.99675, 4.99674, 4.99676, 4.99685, 4.99696, 4.99648, 4.99669, 4.99681, 4.99705, 4.99715, 4.99688, 4.99737, 4.99731, 4.99783, 4.99778, 4.99772, 4.9976, 4.99767, 4.99736, 4.99745, 4.99737, 4.99751, 4.99765, 4.9975, 4.99746, 4.9973, 4.99736, 4.99717, 4.99718, 4.99731, 4.99777, 4.99758, 4.99765, 4.99777, 4.99772, 4.99782, 4.99774, 4.99757, 4.99738, 4.99732, 4.99743, 4.99724, 4.99714, 4.99688, 4.99686, 4.99689, 4.99732, 4.99715, 4.99689, 4.99712, 4.99697, 4.99684, 4.99703, 4.99722, 4.99705, 4.99712, 4.99691, 4.9971, 4.99727, 4.99745, 4.99772, 4.99777, 4.99762, 4.99748, 4.9973, 4.99701, 4.9969, 4.99661, 4.99665, 4.99682, 4.99718, 4.99712, 4.9972, 4.9973, 4.99738, 4.99727, 4.99758, 4.99747, 4.99751, 4.99725, 4.99734, 4.99741, 4.99742, 4.99733, 4.99747, 4.99745, 4.99727, 4.99727, 4.99717, 4.99702, 4.99702, 4.99747, 4.99742, 4.99735, 4.99751, 4.99755, 4.99741, 4.99759, 4.99795, 4.9977, 4.99756, 4.99738, 4.99722, 4.99706, 4.99694, 4.99689, 4.99667, 4.99706, 4.99698, 4.99684, 4.99665, 4.99639, 4.99624, 4.99638, 4.99615, 4.9959, 4.99575, 4.99572, 4.99559, 4.99599, 4.99591, 4.99585, 4.99592, 4.9957, 4.99561, 4.99546, 4.99545, 4.99561, 4.99556, 4.99519, 4.99516, 4.99501, 4.99514, 4.99513, 4.9952, 4.99539, 4.99559, 4.99549, 4.99543, 4.99512, 4.99529, 4.99538, 4.99558, 4.9957, 4.99573, 4.9958, 4.99578, 4.99568, 4.99553, 4.99569, 4.99586, 4.99577, 4.99601, 4.99586, 4.99563, 4.9957, 4.99579, 4.99578, 4.99604, 4.99601, 4.9959, 4.99593, 4.99607, 4.99633, 4.99635, 4.99626, 4.99624, 4.99624, 4.9964, 4.99661, 4.9968, 4.99692, 4.99685, 4.99706, 4.99695, 4.99685, 4.99717, 4.99729, 4.99694, 4.99725, 4.99747, 4.99745, 4.99753, 4.99767, 4.99771, 4.99785, 4.99767, 4.99798, 4.99808, 4.99784, 4.99775, 4.99757, 4.99764, 4.99776, 4.99787, 4.99752, 4.99748, 4.99782, 4.99775, 4.99788, 4.9979, 4.99784, 4.9979, 4.99792, 4.99793, 4.99802, 4.99783, 4.99801, 4.998, 4.99788, 4.99787, 4.99781, 4.99792, 4.998, 4.998, 4.99806, 4.99806, 4.99764, 4.99745, 4.99761, 4.99763, 4.99747, 4.99737, 4.99724, 4.99728, 4.99723, 4.99722, 4.9972, 4.9974, 4.99764, 4.9979, 4.99762, 4.99741, 4.99731, 4.99717, 4.99686, 4.99698, 4.99721, 4.99711, 4.99719, 4.99703, 4.99724, 4.99735, 4.99758, 4.99777, 4.99769, 4.99769, 4.99757, 4.99743, 4.99729, 4.99729, 4.99733, 4.99745, 4.99739, 4.99735, 4.99737, 4.9974, 4.99748, 4.99754, 4.99736, 4.99713, 4.99717, 4.99732, 4.99733, 4.9972, 4.99728, 4.99711, 4.99732, 4.99748, 4.99737, 4.99744, 4.99729, 4.997, 4.99706, 4.99691, 4.99687, 4.99697, 4.99693, 4.99707, 4.99732, 4.99729, 4.99754, 4.99757, 4.99742, 4.99741, 4.99732, 4.99739, 4.99727, 4.9973, 4.99742, 4.99752, 4.99756, 4.99774, 4.99793, 4.99778, 4.99778, 4.99785, 4.99785, 4.998, 4.99788, 4.99773, 4.99767, 4.99772, 4.9976, 4.99742, 4.99763, 4.99777, 4.99773, 4.99801, 4.99779, 4.9977, 4.99762, 4.99765, 4.99771, 4.99762, 4.99756, 4.99771, 4.99761, 4.99751, 4.99716, 4.99698, 4.99691, 4.99707, 4.99729, 4.99735, 4.99743, 4.99768, 4.99762, 4.99757, 4.9974, 4.99759, 4.99768, 4.99769, 4.99775, 4.99781, 4.99801, 4.99797, 4.99797, 4.99795, 4.99781, 4.9976, 4.9977, 4.9978, 4.99789, 4.99791, 4.99799, 4.99803, 4.998, 4.99813, 4.99811, 4.99811, 4.99805, 4.99802, 4.99788, 4.99786, 4.99777, 4.99763, 4.99761, 4.99744, 4.99747, 4.99743, 4.99761, 4.99755, 4.99758, 4.99761, 4.99753, 4.99756, 4.9978, 4.99777, 4.99764, 4.99759, 4.99779, 4.99775, 4.99795, 4.99795, 4.99807, 4.99805, 4.99811, 4.99821, 4.99822, 4.99833, 4.99847, 4.99843, 4.99872, 4.9988, 4.99877, 4.9988, 4.99891, 4.99892, 4.99898, 4.99912, 4.99908, 4.99901, 4.99895, 4.99903, 4.999, 4.99913, 4.99905, 4.99899, 4.99908, 4.99904, 4.9989, 4.99885, 4.99865, 4.99862, 4.99859, 4.99863, 4.99865, 4.99871, 4.99854, 4.99878, 4.99874, 4.99868, 4.99866, 4.99872, 4.99857, 4.99838, 4.99822, 4.99825, 4.99807, 4.99822, 4.99804, 4.99807, 4.99804, 4.9981, 4.99829, 4.99829, 4.99823, 4.99835, 4.99826, 4.99821, 4.99821, 4.99829, 4.99812, 4.99829, 4.99836, 4.99853, 4.99858, 4.99851, 4.99832, 4.99842, 4.99832, 4.99826, 4.99825, 4.99836, 4.99842, 4.99836, 4.99817, 4.99834, 4.99849, 4.99846, 4.9983, 4.99838, 4.99825, 4.99815, 4.99798, 4.99794, 4.99804, 4.99792, 4.99792, 4.99797, 4.99779, 4.99797, 4.99786, 4.9978, 4.99776, 4.99776, 4.99787, 4.9978, 4.9979, 4.99805, 4.99809, 4.99824, 4.99838, 4.99827, 4.99831, 4.99825, 4.99823, 4.99828, 4.99801, 4.99784, 4.99784, 4.99794, 4.99791, 4.998, 4.99797, 4.9979, 4.99802, 4.99813, 4.99829, 4.99827, 4.99829, 4.99834, 4.99841, 4.9984, 4.9984, 4.99844, 4.99843, 4.99848, 4.99841, 4.99841, 4.99848, 4.99833, 4.99819, 4.99824, 4.99811, 4.99817, 4.99803, 4.99794, 4.99793, 4.99801, 4.99795, 4.99795, 4.99808, 4.99813, 4.99813, 4.99805, 4.99794, 4.99818, 4.99811, 4.99815, 4.99806, 4.99812, 4.99812, 4.99809, 4.99807, 4.99812, 4.99808, 4.99801, 4.99809, 4.99811, 4.99825, 4.99829, 4.99816, 4.99834, 4.9982, 4.99833, 4.99819, 4.99811] \n",
    "vvar3= [-52.8735, 0.653437, 0.745273, 0.87703, 0.967679, 1.00666, 0.998031, 1.03677, 1.03302, 1.03425, 1.03016, 1.02287, 1.01411, 1.0015, 0.994884, 0.973701, 0.975036, 0.975201, 0.983582, 0.972908, 0.970821, 0.967732, 0.972543, 0.976578, 0.974653, 0.968406, 0.965099, 0.969589, 0.966055, 0.969252, 0.972003, 0.971542, 0.970219, 0.970364, 0.969437, 0.974646, 0.977141, 0.970265, 0.973736, 0.973659, 0.977048, 0.976423, 0.976628, 0.974838, 0.97419, 0.96946, 0.970188, 0.970988, 0.96963, 0.966342, 0.962807, 0.965202, 0.965097, 0.966893, 0.970988, 0.974133, 0.968052, 0.969875, 0.971651, 0.975037, 0.975946, 0.976497, 0.973267, 0.976589, 0.976457, 0.974632, 0.976689, 0.975152, 0.975031, 0.977215, 0.974671, 0.975817, 0.980703, 0.984404, 0.985121, 0.985477, 0.985861, 0.985038, 0.988386, 0.989704, 0.988629, 0.98872, 0.986444, 0.986103, 0.984144, 0.984932, 0.984916, 0.984812, 0.988247, 0.988944, 0.986975, 0.987994, 0.987221, 0.987528, 0.988405, 0.98736, 0.987193, 0.98646, 0.984387, 0.982762, 0.979892, 0.982126, 0.982306, 0.982174, 0.980203, 0.980664, 0.982169, 0.980896, 0.979098, 0.97992, 0.984036, 0.982412, 0.98322, 0.98547, 0.985607, 0.985063, 0.987985, 0.988281, 0.987732, 0.987297, 0.987036, 0.986489, 0.989323, 0.989278, 0.988967, 0.988112, 0.988079, 0.98921, 0.990765, 0.990294, 0.990755, 0.991599, 0.992709, 0.992372, 0.992083, 0.990996, 0.991012, 0.989976, 0.990597, 0.990823, 0.991107, 0.991621, 0.991231, 0.992926, 0.992741, 0.992882, 0.991401, 0.991061, 0.990729, 0.99125, 0.992081, 0.990464, 0.990842, 0.989922, 0.990615, 0.990025, 0.991778, 0.993591, 0.993347, 0.992254, 0.990784, 0.989948, 0.989994, 0.990347, 0.989972, 0.989805, 0.990355, 0.990772, 0.988969, 0.990052, 0.988951, 0.989755, 0.989142, 0.990211, 0.990192, 0.989963, 0.990144, 0.98904, 0.988342, 0.987643, 0.9872, 0.987178, 0.988038, 0.987167, 0.985425, 0.984409, 0.984857, 0.984476, 0.985518, 0.985806, 0.986789, 0.985643, 0.98556, 0.98451, 0.984583, 0.984766, 0.986784, 0.98768, 0.987869, 0.987195, 0.98574, 0.985259, 0.984715, 0.984568, 0.984406, 0.984305, 0.984128, 0.9839, 0.984775, 0.984545, 0.983742, 0.98413, 0.984101, 0.983044, 0.982147, 0.981582, 0.981935, 0.982181, 0.982173, 0.98232, 0.982213, 0.981857, 0.981197, 0.982216, 0.982083, 0.982418, 0.981641, 0.981451, 0.981167, 0.981262, 0.98134, 0.980387, 0.981321, 0.981671, 0.981369, 0.981698, 0.981826, 0.982244, 0.98226, 0.983388, 0.983057, 0.983632, 0.983559, 0.982897, 0.983336, 0.982622, 0.982269, 0.982483, 0.982955, 0.982973, 0.983123, 0.983149, 0.982955, 0.98341, 0.984495, 0.984004, 0.983869, 0.983384, 0.984072, 0.983852, 0.983964, 0.984072, 0.983415, 0.983059, 0.982803, 0.982317, 0.982235, 0.981501, 0.981042, 0.9819, 0.981991, 0.982475, 0.982149, 0.982069, 0.982737, 0.982582, 0.981764, 0.981118, 0.981443, 0.981146, 0.98124, 0.981159, 0.981684, 0.981117, 0.981942, 0.982102, 0.982109, 0.981942, 0.98263, 0.983046, 0.983315, 0.982942, 0.983073, 0.983941, 0.98519, 0.985834, 0.985652, 0.985252, 0.985726, 0.986264, 0.986674, 0.986774, 0.986873, 0.986577, 0.987113, 0.987365, 0.987151, 0.987039, 0.986669, 0.986346, 0.986561, 0.986543, 0.986539, 0.987806, 0.987269, 0.987241, 0.986651, 0.98675, 0.986503, 0.986129, 0.986476, 0.986564, 0.985961, 0.986764, 0.986396, 0.98654, 0.986228, 0.9868, 0.987176, 0.987487, 0.987481, 0.987335, 0.987893, 0.987462, 0.988007, 0.988113, 0.988671, 0.989187, 0.98929, 0.989079, 0.988872, 0.989466, 0.989478, 0.989485, 0.989091, 0.988424, 0.988488, 0.988941, 0.98913, 0.988972, 0.988618, 0.988037, 0.987948, 0.988722, 0.988912, 0.989458, 0.989077, 0.988542, 0.988315, 0.988312, 0.98778, 0.987906, 0.988027, 0.98796, 0.988311, 0.988624, 0.989025, 0.989189, 0.989231, 0.989402, 0.989469, 0.989308, 0.989693, 0.989618, 0.989606, 0.989377, 0.989852, 0.990121, 0.990087, 0.98995, 0.989794, 0.989809, 0.989689, 0.990231, 0.990565, 0.990439, 0.990362, 0.990865, 0.991405, 0.991383, 0.99083, 0.990649, 0.99046, 0.990355, 0.990325, 0.990104, 0.990014, 0.990127, 0.98999, 0.989692, 0.989718, 0.989524, 0.989491, 0.990152, 0.989561, 0.989187, 0.989215, 0.989278, 0.988614, 0.98889, 0.988918, 0.988616, 0.988656, 0.988785, 0.988828, 0.988875, 0.989362, 0.989144, 0.988605, 0.988716, 0.989035, 0.989711, 0.98988, 0.990044, 0.990516, 0.990786, 0.990967, 0.990715, 0.991835, 0.992228, 0.991597, 0.991383, 0.991584, 0.99129, 0.9912, 0.991083, 0.990546, 0.990287, 0.989638, 0.988869, 0.98918, 0.989493, 0.989513, 0.990107, 0.990869, 0.99028, 0.990297, 0.990642, 0.991084, 0.991553, 0.991789, 0.99148, 0.991751, 0.991236, 0.990739, 0.990769, 0.990559, 0.990603, 0.990023, 0.990161, 0.990424, 0.990455, 0.990476, 0.99079, 0.991503, 0.991157, 0.991407, 0.991041, 0.99099, 0.991083, 0.990984, 0.991283, 0.991797, 0.991747, 0.992042, 0.992181, 0.991932, 0.992175, 0.991995, 0.991794, 0.991927, 0.991853, 0.991527, 0.991986, 0.991613, 0.991815, 0.991662, 0.991953, 0.991939, 0.992012, 0.992131, 0.99175, 0.991852, 0.991642, 0.991744, 0.99137, 0.99148, 0.991459, 0.99116, 0.990908, 0.990899, 0.990681, 0.991118, 0.991068, 0.990934, 0.991171, 0.990742, 0.989921, 0.990656, 0.990362, 0.990559, 0.990414, 0.990166, 0.990079, 0.990171, 0.989774, 0.989563, 0.989, 0.98863, 0.988523, 0.98841, 0.988364, 0.988298, 0.988578, 0.988501, 0.988264, 0.988294, 0.9885, 0.98848, 0.988439, 0.98854, 0.988438, 0.987982, 0.987868, 0.987595, 0.987993, 0.98792, 0.987847, 0.987805, 0.9876, 0.987895, 0.98826, 0.988316, 0.988739, 0.988611, 0.98857, 0.988809, 0.988832, 0.988831, 0.989308, 0.989016, 0.989161, 0.989799, 0.989979, 0.989902, 0.98954, 0.98963, 0.989424, 0.989364, 0.989243, 0.98921, 0.989311, 0.98919, 0.989353, 0.989505, 0.989638, 0.989524, 0.989665, 0.989707, 0.989422, 0.989223, 0.989248, 0.989597, 0.990145, 0.990455, 0.99012, 0.990128, 0.99044, 0.99056, 0.990443, 0.990355, 0.99055, 0.99095, 0.991231, 0.991397, 0.991394, 0.991472, 0.991656, 0.991753, 0.991605, 0.991656, 0.99164, 0.991579, 0.991857, 0.992163, 0.991996, 0.99276, 0.992609, 0.992599, 0.992448, 0.992201, 0.992256, 0.992155, 0.992434, 0.992318, 0.992227, 0.991919, 0.991774, 0.991876, 0.992119, 0.992159, 0.992106, 0.992108, 0.99193, 0.99189, 0.99173, 0.991667, 0.991458, 0.991522, 0.991733, 0.991683, 0.991838, 0.991523, 0.991437, 0.991695, 0.99165, 0.991682, 0.991375, 0.991647, 0.99172, 0.991883, 0.991603, 0.991565, 0.991402, 0.991257, 0.991439, 0.99143, 0.991185, 0.991207, 0.99153, 0.991374, 0.991592, 0.991691, 0.992628, 0.992488, 0.992352, 0.992353, 0.992466, 0.992429, 0.992267, 0.99232, 0.992469, 0.992275, 0.992162, 0.99187, 0.991738, 0.991914, 0.991987, 0.992073, 0.992149, 0.992098, 0.992619, 0.992965, 0.993543, 0.993544, 0.993257, 0.99326, 0.993584, 0.993873, 0.994261, 0.994462, 0.994596, 0.994949, 0.994638, 0.994679, 0.994641, 0.994821, 0.994518, 0.994293, 0.994352, 0.994221, 0.99453, 0.994192, 0.994136, 0.994228, 0.993969, 0.993807, 0.993638, 0.993561, 0.993441, 0.99375, 0.993722, 0.993532, 0.993573, 0.993547, 0.993567, 0.993501, 0.993515, 0.993527, 0.993247, 0.993241, 0.993252, 0.993224, 0.993363, 0.993219, 0.993457, 0.993534, 0.993555, 0.993809, 0.993966, 0.993977, 0.994114, 0.993806, 0.993866, 0.99389, 0.993874, 0.993956, 0.993858, 0.994087, 0.994177, 0.994214, 0.994339, 0.994126, 0.994271, 0.994202, 0.994152, 0.994363, 0.993961, 0.994176, 0.994226, 0.994502, 0.994685, 0.995012, 0.994984, 0.994751, 0.994867, 0.99467, 0.994657, 0.994697, 0.995049, 0.994932, 0.995053, 0.995014, 0.994852, 0.995071, 0.995077, 0.995124, 0.995159, 0.995142, 0.995274, 0.99509, 0.99503, 0.995106, 0.995219, 0.995365, 0.995222, 0.995306, 0.995381, 0.995131, 0.994811, 0.99466, 0.994675, 0.994992, 0.995091, 0.995498, 0.995578, 0.99538, 0.995359, 0.995346, 0.995381, 0.99521, 0.99519, 0.995178, 0.994969, 0.995027, 0.99504, 0.995138, 0.995077, 0.995182, 0.995093, 0.99518, 0.994931, 0.994742, 0.994836, 0.994701, 0.994616, 0.994617, 0.994418, 0.994433, 0.994547, 0.994484, 0.994701, 0.994945, 0.994934, 0.994761, 0.994783, 0.994612, 0.994678, 0.994561, 0.994576, 0.994613, 0.994725, 0.994614, 0.994674, 0.994818, 0.994658, 0.994762, 0.994615, 0.994469, 0.994462, 0.994489, 0.994631, 0.994519, 0.994538, 0.994527, 0.994756, 0.994598, 0.994698, 0.994711, 0.994576, 0.994698, 0.995074, 0.994924, 0.995151, 0.994935, 0.994817, 0.99528, 0.995262, 0.995255, 0.99523, 0.995467, 0.995402, 0.995129, 0.995223, 0.995645, 0.995736, 0.99591, 0.995944, 0.996194, 0.996406, 0.996024, 0.995864, 0.995685, 0.995598, 0.995594, 0.995872, 0.995753, 0.996145, 0.996156, 0.996173, 0.995967, 0.99579, 0.995625, 0.995617, 0.995512, 0.995998, 0.995826, 0.995847, 0.995774, 0.996048, 0.996214, 0.996007, 0.995877, 0.995811, 0.996075, 0.995986, 0.996054, 0.995818, 0.995695, 0.995531, 0.99539, 0.995178, 0.995014, 0.995358, 0.995029, 0.995254, 0.995163, 0.995322, 0.995179, 0.99509, 0.995008, 0.995254, 0.995425, 0.995511, 0.995728, 0.995889, 0.995803, 0.995831, 0.995829, 0.995849, 0.995791, 0.995954, 0.996291, 0.996443, 0.996238, 0.996121, 0.996217, 0.996093, 0.996087, 0.996202, 0.996298, 0.996091, 0.996036, 0.995942, 0.995944, 0.995796, 0.995452, 0.995284, 0.995475, 0.995412, 0.995558, 0.995644, 0.995784, 0.995813, 0.995895, 0.995817, 0.99586, 0.995766, 0.9958, 0.995971, 0.996121, 0.99603, 0.996055, 0.996167, 0.996006, 0.995974, 0.996036, 0.996039, 0.996155, 0.996149, 0.995693, 0.995946, 0.995833, 0.995974, 0.995993, 0.996064, 0.995871, 0.995835, 0.995743, 0.995989, 0.995938, 0.995934, 0.995986, 0.996121, 0.996275, 0.995998, 0.995983, 0.996037, 0.996009, 0.995885, 0.996129, 0.996341, 0.996282, 0.996426, 0.99669, 0.996845, 0.996736, 0.996927, 0.997039, 0.996932, 0.996834, 0.996742, 0.996788, 0.996588, 0.996501, 0.996718, 0.996662, 0.996702, 0.996492, 0.996162, 0.996237, 0.996093, 0.996009, 0.995757, 0.995689, 0.995574, 0.995447, 0.995315, 0.995507, 0.995703, 0.995664, 0.99567, 0.995688, 0.995459, 0.995253, 0.995223, 0.995101, 0.995141, 0.995354, 0.995581, 0.995803, 0.995785, 0.995816, 0.995879, 0.995895, 0.995805, 0.995797, 0.995658, 0.995777, 0.995701, 0.996239, 0.996054, 0.996102, 0.996131, 0.995922, 0.99585, 0.996034, 0.996288, 0.996248, 0.996097, 0.996108] \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "b4c1d74e-9546-4e9d-9b3e-8fe13db83d7c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'mean')"
      ]
     },
     "execution_count": 49,
     "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(x3[start:],pmean3[start:])\n",
    "plt.plot(x3[start:],vmean3[start:])\n",
    "plt.plot([0,1e5],[5,5])\n",
    "plt.title(\"mean\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "528230dc-fd60-4acc-a7be-0819bd15fd06",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'variance')"
      ]
     },
     "execution_count": 50,
     "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(x3[start:],pvar3[start:])\n",
    "plt.plot(x3[start:],vvar3[start:])\n",
    "plt.plot([0,1e5],[1,1])\n",
    "plt.title(\"variance\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f414b83b-4ff5-440b-be1c-f39988c2c4d1",
   "metadata": {},
   "source": [
    "use average over the last 1000 samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "fdb7f411-f4e3-42ef-8db9-3c8752819bc6",
   "metadata": {},
   "outputs": [],
   "source": [
    "x4=[1, 100, 199, 298, 397, 496, 595, 694, 793, 892, 991, 1090, 1189, 1288, 1387, 1486, 1585, 1684, 1783, 1882, 1981, 2080, 2179, 2278, 2377, 2476, 2575, 2674, 2773, 2872, 2971, 3070, 3169, 3268, 3367, 3466, 3565, 3664, 3763, 3862, 3961, 4060, 4159, 4258, 4357, 4456, 4555, 4654, 4753, 4852, 4951, 5050, 5149, 5248, 5347, 5446, 5545, 5644, 5743, 5842, 5941, 6040, 6139, 6238, 6337, 6436, 6535, 6634, 6733, 6832, 6931, 7030, 7129, 7228, 7327, 7426, 7525, 7624, 7723, 7822, 7921, 8020, 8119, 8218, 8317, 8416, 8515, 8614, 8713, 8812, 8911, 9010, 9109, 9208, 9307, 9406, 9505, 9604, 9703, 9802, 9901] \n",
    "pmean4=  [4.98453, 5.00216, 4.99798, 5.0097, 5.01219, 4.98845, 4.99401, 4.99533, 4.99483, 5.00646, 5.01107, 5.01352, 5.01926, 5.00866, 4.99642, 4.9913, 4.98262, 4.98918, 5.00158, 5.0078, 5.00197, 5.01565, 5.00778, 4.99612, 4.98175, 4.98732, 4.98355, 4.9776, 4.97448, 4.99337, 4.98052, 4.9887, 4.99044, 4.99048, 4.98741, 4.99318, 5.00271, 5.02206, 5.0137, 5.02481, 5.02407, 5.02854, 5.02081, 5.02971, 5.03301, 5.03237, 5.01666, 5.0242, 4.99461, 4.98964, 4.97538, 4.9696, 4.97934, 4.9786, 4.97698, 4.98553, 4.99492, 4.99335, 5.00023, 4.99997, 5.00392, 5.01595, 5.03104, 5.01435, 5.01508, 5.01911, 5.01611, 5.02124, 5.03114, 5.03388, 5.02787, 5.01866, 5.0114, 5.00461, 5.0155, 5.03013, 5.03636, 5.03313, 5.0498, 5.03302, 5.04316, 5.02768, 5.04283, 5.01962, 5.02545, 5.02292, 5.02373, 5.0183, 5.00989, 4.99481, 4.99829, 5.0016, 4.99397, 4.996, 4.99723, 5.01184, 5.00278, 5.01449, 5.02728, 5.0001, 4.98809] \n",
    "pvar4= [0.980399, 0.978447, 0.972586, 0.983777, 0.981872, 0.964806, 0.973415, 0.965299, 0.972885, 0.97523, 0.987491, 0.997735, 0.992478, 1.01796, 1.00312, 1.01631, 0.990168, 0.976839, 0.974091, 0.97623, 0.978577, 0.971059, 0.979015, 0.998686, 1.00843, 1.02569, 1.0319, 1.03108, 1.02432, 1.01724, 0.996193, 0.99786, 0.988941, 1.00257, 1.00454, 1.02006, 1.00296, 1.00279, 1.01539, 1.02046, 1.00556, 1.00514, 0.999071, 0.976062, 0.971655, 0.973179, 0.978372, 0.974704, 0.975008, 0.975482, 0.983748, 0.989313, 1.00806, 1.00865, 0.997713, 0.978092, 0.998861, 0.986548, 0.991111, 0.991493, 1.00101, 1.00708, 0.993956, 0.994595, 0.987523, 0.978697, 0.982493, 0.968595, 0.946438, 0.970965, 0.975331, 0.964059, 0.947492, 0.975021, 1.00814, 0.980482, 0.972379, 0.967, 0.967969, 0.962711, 0.958736, 0.961311, 0.980222, 0.980669, 0.989358, 0.983605, 0.986121, 0.992215, 0.993086, 0.98227, 0.966782, 0.980838, 0.979938, 0.952788, 0.933016, 0.939222, 0.928603, 0.944568, 0.963701, 0.960591, 0.935469] \n",
    "vmean4= [4.98492, 5.00677, 4.99894, 5.02116, 5.03189, 5.00587, 5.01822, 5.01367, 5.00618, 5.01967, 5.0291, 5.01468, 5.02208, 5.00077, 4.98562, 5.01059, 4.98827, 5.00004, 5.00583, 5.00318, 5.00033, 5.00593, 4.99119, 4.98032, 4.98495, 4.99586, 5.00173, 4.98286, 4.96534, 4.98396, 4.96794, 4.96645, 4.964, 4.98044, 4.98881, 4.98653, 5.00719, 5.03199, 5.02928, 5.03319, 5.0464, 5.05279, 5.04259, 5.05193, 5.06334, 5.05837, 5.03467, 5.02883, 5.00829, 4.98775, 4.9704, 4.95075, 4.96476, 4.95102, 4.93597, 4.94831, 4.96767, 4.96215, 4.98872, 4.99624, 5.01501, 5.03935, 5.04922, 5.03162, 5.03489, 5.03973, 5.02975, 5.04041, 5.05153, 5.05237, 5.05071, 5.02612, 5.00466, 5.0127, 5.02534, 5.03327, 5.03871, 5.03951, 5.04415, 5.03132, 5.04332, 5.03321, 5.06051, 5.046, 5.04822, 5.03111, 5.01696, 5.01559, 4.9838, 4.98328, 4.97581, 4.98747, 4.96665, 4.98574, 4.9818, 4.99583, 4.98699, 4.99994, 5.02095, 5.00638, 4.99384] \n",
    "vvar4= [0.982043, 0.970664, 0.966219, 0.974839, 0.989073, 0.970538, 0.974474, 0.98222, 1.0043, 1.00591, 0.979841, 0.994766, 0.999915, 1.01112, 1.00337, 1.03419, 1.00466, 1.00474, 0.99926, 0.993137, 0.986073, 0.971439, 0.97504, 0.970966, 0.99337, 1.00562, 1.03048, 1.04574, 1.0477, 1.0448, 1.0258, 1.03507, 1.02034, 1.0142, 1.0069, 1.00517, 0.975004, 0.976699, 0.99616, 1.01369, 1.017, 1.01352, 1.01013, 0.975605, 0.973921, 0.951753, 0.967416, 0.968145, 0.955204, 0.940925, 0.962801, 0.959157, 0.986153, 1.00895, 1.0097, 0.989478, 1.00488, 1.00705, 1.01058, 1.0028, 1.01024, 1.00481, 0.979643, 0.97534, 0.986866, 0.986808, 0.974597, 0.970466, 0.944952, 0.961573, 0.964398, 0.939636, 0.926959, 0.95168, 0.99611, 0.969659, 0.963183, 0.973143, 0.992819, 0.96843, 0.951283, 0.969066, 1.00159, 0.978617, 0.951509, 0.973421, 0.988513, 0.994389, 0.997542, 0.999082, 0.99748, 0.995611, 0.981835, 0.951902, 0.933157, 0.932085, 0.910325, 0.917012, 0.927997, 0.934191, 0.920105] \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "e995df8b-f73c-4048-a046-0868f0650534",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'mean')"
      ]
     },
     "execution_count": 52,
     "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(x4[start:],pmean4[start:])\n",
    "plt.plot(x4[start:],vmean4[start:])\n",
    "plt.plot([0,1e4],[5,5])\n",
    "plt.title(\"mean\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "03b75498-6afc-49c6-b542-3e06f896955e",
   "metadata": {},
   "outputs": [],
   "source": [
    "x5= [1, 100, 199, 298, 397, 496, 595, 694, 793, 892, 991, 1090, 1189, 1288, 1387, 1486, 1585, 1684, 1783, 1882, 1981, 2080, 2179, 2278, 2377, 2476, 2575, 2674, 2773, 2872, 2971, 3070, 3169, 3268, 3367, 3466, 3565, 3664, 3763, 3862, 3961, 4060, 4159, 4258, 4357, 4456, 4555, 4654, 4753, 4852, 4951, 5050, 5149, 5248, 5347, 5446, 5545, 5644, 5743, 5842, 5941, 6040, 6139, 6238, 6337, 6436, 6535, 6634, 6733, 6832, 6931, 7030, 7129, 7228, 7327, 7426, 7525, 7624, 7723, 7822, 7921, 8020, 8119, 8218, 8317, 8416, 8515, 8614, 8713, 8812, 8911, 9010, 9109, 9208, 9307, 9406, 9505, 9604, 9703, 9802, 9901, 10000, 10099, 10198, 10297, 10396, 10495, 10594, 10693, 10792, 10891, 10990, 11089, 11188, 11287, 11386, 11485, 11584, 11683, 11782, 11881, 11980, 12079, 12178, 12277, 12376, 12475, 12574, 12673, 12772, 12871, 12970, 13069, 13168, 13267, 13366, 13465, 13564, 13663, 13762, 13861, 13960, 14059, 14158, 14257, 14356, 14455, 14554, 14653, 14752, 14851, 14950, 15049, 15148, 15247, 15346, 15445, 15544, 15643, 15742, 15841, 15940, 16039, 16138, 16237, 16336, 16435, 16534, 16633, 16732, 16831, 16930, 17029, 17128, 17227, 17326, 17425, 17524, 17623, 17722, 17821, 17920, 18019, 18118, 18217, 18316, 18415, 18514, 18613, 18712, 18811, 18910, 19009, 19108, 19207, 19306, 19405, 19504, 19603, 19702, 19801, 19900, 19999, 20098, 20197, 20296, 20395, 20494, 20593, 20692, 20791, 20890, 20989, 21088, 21187, 21286, 21385, 21484, 21583, 21682, 21781, 21880, 21979, 22078, 22177, 22276, 22375, 22474, 22573, 22672, 22771, 22870, 22969, 23068, 23167, 23266, 23365, 23464, 23563, 23662, 23761, 23860, 23959, 24058, 24157, 24256, 24355, 24454, 24553, 24652, 24751, 24850, 24949, 25048, 25147, 25246, 25345, 25444, 25543, 25642, 25741, 25840, 25939, 26038, 26137, 26236, 26335, 26434, 26533, 26632, 26731, 26830, 26929, 27028, 27127, 27226, 27325, 27424, 27523, 27622, 27721, 27820, 27919, 28018, 28117, 28216, 28315, 28414, 28513, 28612, 28711, 28810, 28909, 29008, 29107, 29206, 29305, 29404, 29503, 29602, 29701, 29800, 29899, 29998, 30097, 30196, 30295, 30394, 30493, 30592, 30691, 30790, 30889, 30988, 31087, 31186, 31285, 31384, 31483, 31582, 31681, 31780, 31879, 31978, 32077, 32176, 32275, 32374, 32473, 32572, 32671, 32770, 32869, 32968, 33067, 33166, 33265, 33364, 33463, 33562, 33661, 33760, 33859, 33958, 34057, 34156, 34255, 34354, 34453, 34552, 34651, 34750, 34849, 34948, 35047, 35146, 35245, 35344, 35443, 35542, 35641, 35740, 35839, 35938, 36037, 36136, 36235, 36334, 36433, 36532, 36631, 36730, 36829, 36928, 37027, 37126, 37225, 37324, 37423, 37522, 37621, 37720, 37819, 37918, 38017, 38116, 38215, 38314, 38413, 38512, 38611, 38710, 38809, 38908, 39007, 39106, 39205, 39304, 39403, 39502, 39601, 39700, 39799, 39898, 39997, 40096, 40195, 40294, 40393, 40492, 40591, 40690, 40789, 40888, 40987, 41086, 41185, 41284, 41383, 41482, 41581, 41680, 41779, 41878, 41977, 42076, 42175, 42274, 42373, 42472, 42571, 42670, 42769, 42868, 42967, 43066, 43165, 43264, 43363, 43462, 43561, 43660, 43759, 43858, 43957, 44056, 44155, 44254, 44353, 44452, 44551, 44650, 44749, 44848, 44947, 45046, 45145, 45244, 45343, 45442, 45541, 45640, 45739, 45838, 45937, 46036, 46135, 46234, 46333, 46432, 46531, 46630, 46729, 46828, 46927, 47026, 47125, 47224, 47323, 47422, 47521, 47620, 47719, 47818, 47917, 48016, 48115, 48214, 48313, 48412, 48511, 48610, 48709, 48808, 48907, 49006, 49105, 49204, 49303, 49402, 49501, 49600, 49699, 49798, 49897, 49996, 50095, 50194, 50293, 50392, 50491, 50590, 50689, 50788, 50887, 50986, 51085, 51184, 51283, 51382, 51481, 51580, 51679, 51778, 51877, 51976, 52075, 52174, 52273, 52372, 52471, 52570, 52669, 52768, 52867, 52966, 53065, 53164, 53263, 53362, 53461, 53560, 53659, 53758, 53857, 53956, 54055, 54154, 54253, 54352, 54451, 54550, 54649, 54748, 54847, 54946, 55045, 55144, 55243, 55342, 55441, 55540, 55639, 55738, 55837, 55936, 56035, 56134, 56233, 56332, 56431, 56530, 56629, 56728, 56827, 56926, 57025, 57124, 57223, 57322, 57421, 57520, 57619, 57718, 57817, 57916, 58015, 58114, 58213, 58312, 58411, 58510, 58609, 58708, 58807, 58906, 59005, 59104, 59203, 59302, 59401, 59500, 59599, 59698, 59797, 59896, 59995, 60094, 60193, 60292, 60391, 60490, 60589, 60688, 60787, 60886, 60985, 61084, 61183, 61282, 61381, 61480, 61579, 61678, 61777, 61876, 61975, 62074, 62173, 62272, 62371, 62470, 62569, 62668, 62767, 62866, 62965, 63064, 63163, 63262, 63361, 63460, 63559, 63658, 63757, 63856, 63955, 64054, 64153, 64252, 64351, 64450, 64549, 64648, 64747, 64846, 64945, 65044, 65143, 65242, 65341, 65440, 65539, 65638, 65737, 65836, 65935, 66034, 66133, 66232, 66331, 66430, 66529, 66628, 66727, 66826, 66925, 67024, 67123, 67222, 67321, 67420, 67519, 67618, 67717, 67816, 67915, 68014, 68113, 68212, 68311, 68410, 68509, 68608, 68707, 68806, 68905, 69004, 69103, 69202, 69301, 69400, 69499, 69598, 69697, 69796, 69895, 69994, 70093, 70192, 70291, 70390, 70489, 70588, 70687, 70786, 70885, 70984, 71083, 71182, 71281, 71380, 71479, 71578, 71677, 71776, 71875, 71974, 72073, 72172, 72271, 72370, 72469, 72568, 72667, 72766, 72865, 72964, 73063, 73162, 73261, 73360, 73459, 73558, 73657, 73756, 73855, 73954, 74053, 74152, 74251, 74350, 74449, 74548, 74647, 74746, 74845, 74944, 75043, 75142, 75241, 75340, 75439, 75538, 75637, 75736, 75835, 75934, 76033, 76132, 76231, 76330, 76429, 76528, 76627, 76726, 76825, 76924, 77023, 77122, 77221, 77320, 77419, 77518, 77617, 77716, 77815, 77914, 78013, 78112, 78211, 78310, 78409, 78508, 78607, 78706, 78805, 78904, 79003, 79102, 79201, 79300, 79399, 79498, 79597, 79696, 79795, 79894, 79993, 80092, 80191, 80290, 80389, 80488, 80587, 80686, 80785, 80884, 80983, 81082, 81181, 81280, 81379, 81478, 81577, 81676, 81775, 81874, 81973, 82072, 82171, 82270, 82369, 82468, 82567, 82666, 82765, 82864, 82963, 83062, 83161, 83260, 83359, 83458, 83557, 83656, 83755, 83854, 83953, 84052, 84151, 84250, 84349, 84448, 84547, 84646, 84745, 84844, 84943, 85042, 85141, 85240, 85339, 85438, 85537, 85636, 85735, 85834, 85933, 86032, 86131, 86230, 86329, 86428, 86527, 86626, 86725, 86824, 86923, 87022, 87121, 87220, 87319, 87418, 87517, 87616, 87715, 87814, 87913, 88012, 88111, 88210, 88309, 88408, 88507, 88606, 88705, 88804, 88903, 89002, 89101, 89200, 89299, 89398, 89497, 89596, 89695, 89794, 89893, 89992, 90091, 90190, 90289, 90388, 90487, 90586, 90685, 90784, 90883, 90982, 91081, 91180, 91279, 91378, 91477, 91576, 91675, 91774, 91873, 91972, 92071, 92170, 92269, 92368, 92467, 92566, 92665, 92764, 92863, 92962, 93061, 93160, 93259, 93358, 93457, 93556, 93655, 93754, 93853, 93952, 94051, 94150, 94249, 94348, 94447, 94546, 94645, 94744, 94843, 94942, 95041, 95140, 95239, 95338, 95437, 95536, 95635, 95734, 95833, 95932, 96031, 96130, 96229, 96328, 96427, 96526, 96625, 96724, 96823, 96922, 97021, 97120, 97219, 97318, 97417, 97516, 97615, 97714, 97813, 97912, 98011, 98110, 98209, 98308, 98407, 98506, 98605, 98704, 98803, 98902, 99001, 99100, 99199, 99298, 99397, 99496, 99595, 99694, 99793, 99892, 99991] \n",
    "pmean5= [4.99233, 4.995, 5.00491, 5.00597, 5.02217, 5.01844, 5.0046, 5.01761, 5.01784, 5.02117, 5.01579, 4.99612, 5.00898, 4.99627, 4.98468, 4.98744, 4.98927, 5.00468, 5.00979, 5.01056, 5.01847, 5.03681, 5.0331, 5.02937, 5.03036, 5.03311, 5.01907, 5.03345, 5.0267, 5.01733, 5.01666, 5.00298, 5.00681, 5.00794, 5.00421, 5.00418, 4.99697, 5.00242, 5.00016, 5.00697, 5.0135, 5.02408, 5.01356, 5.008, 4.99417, 4.99621, 4.98915, 4.99838, 4.99312, 5.00297, 5.0006, 5.02351, 5.0222, 5.03329, 5.03001, 5.01972, 5.01436, 5.01067, 5.0085, 4.9945, 4.99612, 4.98661, 4.99394, 5.00374, 5.02778, 5.02013, 5.01271, 5.03307, 5.035, 5.01147, 5.0129, 5.03706, 5.0344, 5.0085, 5.01294, 5.00711, 5.00707, 5.01351, 4.99858, 5.00474, 4.99578, 5.00498, 4.97891, 4.98591, 5.0028, 4.99783, 4.9909, 4.99229, 4.98755, 4.97628, 4.98272, 4.99471, 5.00359, 5.00272, 5.01461, 5.02452, 5.03815, 5.03596, 5.04277, 5.05404, 5.05029, 5.04063, 5.05163, 5.05544, 5.05681, 5.07271, 5.05741, 5.05776, 5.04559, 5.03726, 5.02167, 5.00841, 5.00523, 4.99748, 5.00291, 4.99246, 4.98908, 4.98027, 4.99339, 4.99062, 4.99608, 5.00906, 4.99391, 4.98258, 4.99498, 4.99533, 5.00337, 4.99741, 5.01803, 5.00737, 5.00775, 5.01283, 5.00322, 4.98944, 4.98582, 4.99592, 5.00091, 5.00787, 5.01548, 5.01878, 5.02851, 5.02621, 5.00655, 5.02328, 5.02024, 5.02059, 5.00832, 4.99441, 4.98884, 4.98409, 4.98479, 4.98698, 4.99833, 4.98987, 4.98519, 4.98104, 4.97201, 4.96046, 4.96221, 4.97362, 4.98037, 4.97931, 4.99076, 4.99404, 4.99466, 5.0136, 5.01838, 5.02381, 5.01212, 5.01536, 5.00798, 4.99599, 5.00812, 5.00995, 4.99972, 4.99661, 4.99774, 4.99711, 4.9784, 4.97946, 4.99123, 4.98259, 4.985, 4.9995, 4.99739, 4.99569, 5.01096, 5.00667, 5.02751, 5.00762, 5.00291, 4.99535, 5.00235, 5.00994, 5.01096, 4.99745, 5.00186, 5.01449, 5.01926, 4.99467, 4.99684, 5.00076, 5.00135, 4.99585, 5.00096, 4.99278, 5.00384, 4.98853, 4.99276, 4.99488, 4.98563, 4.9941, 4.99278, 5.00594, 5.00863, 5.00468, 4.99902, 4.99414, 5.00885, 4.99939, 5.00241, 4.98885, 4.98034, 4.98862, 4.9994, 5.00627, 4.99465, 5.02977, 5.01311, 5.00793, 5.01518, 5.01878, 5.00697, 5.00169, 4.99607, 4.99796, 5.00509, 5.00357, 5.0142, 5.02455, 5.0161, 4.99468, 4.984, 4.97755, 4.99008, 4.99254, 4.98499, 4.99494, 4.987, 4.98901, 4.982, 4.96836, 4.99002, 4.9968, 4.99873, 5.01185, 5.01574, 5.0177, 5.02429, 5.01573, 5.01771, 5.00467, 4.98758, 5.00491, 5.0128, 5.0011, 5.00432, 4.99359, 4.99922, 5.00101, 4.98777, 4.9916, 5.00538, 5.00783, 5.00565, 5.01998, 5.01588, 5.00553, 4.99754, 4.9854, 4.97255, 4.98407, 5.00017, 5.00222, 5.01342, 5.01496, 5.00724, 5.01746, 5.01483, 5.00187, 4.98592, 4.97357, 4.98806, 4.97904, 4.96744, 4.96469, 4.96321, 4.97705, 4.97178, 4.97843, 4.9845, 5.01316, 4.98038, 4.97543, 4.97699, 4.97341, 4.98512, 4.98537, 4.98446, 4.9929, 4.9967, 5.01039, 5.00306, 5.00695, 4.9965, 4.99076, 4.9846, 4.98407, 4.97902, 4.98073, 4.98894, 4.99978, 5.00558, 4.99509, 4.9897, 5.00827, 5.00271, 4.99811, 5.00722, 5.01947, 4.9962, 5.00041, 4.9923, 4.99998, 5.00395, 5.0152, 5.00691, 5.00271, 4.99277, 5.016, 5.01612, 4.99274, 4.99869, 5.0016, 5.0009, 4.9981, 4.99912, 4.99539, 4.98939, 4.99158, 4.96534, 4.97042, 4.97639, 4.9897, 4.98919, 4.98616, 4.98206, 4.98709, 4.98686, 4.98531, 4.97646, 4.9828, 4.9954, 5.00731, 5.00387, 5.00499, 5.0131, 4.99241, 5.0038, 5.00179, 4.99508, 5.00133, 5.01304, 5.01108, 5.00152, 4.98156, 4.97683, 4.95926, 4.97922, 4.98068, 4.96062, 4.98079, 4.98265, 4.99156, 4.99593, 5.01848, 5.01335, 5.00412, 5.02204, 5.01932, 5.02975, 5.03088, 5.01405, 5.0054, 5.01206, 5.02996, 5.02978, 5.01717, 5.00549, 5.01041, 5.01692, 5.00954, 4.99413, 5.00496, 5.00574, 4.99879, 4.99566, 4.99858, 4.99974, 5.00807, 5.00898, 5.01071, 5.00476, 5.01983, 4.99521, 4.97981, 4.97366, 4.9817, 4.98942, 4.98423, 4.98285, 4.97549, 4.97563, 4.9537, 4.965, 4.97637, 4.98487, 4.98246, 4.99349, 5.00283, 5.00298, 5.00176, 4.99121, 5.00548, 4.99581, 4.98853, 4.98876, 4.99112, 4.98985, 4.96811, 4.97049, 4.97487, 4.97469, 4.98138, 4.97991, 4.99805, 5.0053, 4.99637, 4.9967, 5.01119, 5.01053, 5.01811, 5.00648, 5.00554, 4.99701, 5.00433, 5.00999, 5.01012, 5.00484, 4.99927, 4.99724, 4.99366, 5.00866, 5.00258, 5.00272, 5.00799, 5.02144, 5.02888, 5.02522, 5.03251, 5.05095, 5.05191, 5.04499, 5.03674, 5.01768, 5.03351, 5.03672, 5.03206, 5.01426, 5.00039, 5.00801, 5.00336, 5.006, 5.00822, 5.01244, 5.02015, 5.02156, 5.01862, 5.00554, 4.99173, 4.98928, 4.98291, 4.98959, 4.97594, 4.98593, 4.97505, 4.98445, 4.99502, 5.00273, 4.99651, 4.99286, 4.99618, 4.99461, 4.99909, 4.99862, 4.99435, 4.99787, 5.00464, 5.00629, 5.00499, 5.00388, 5.01488, 5.01623, 5.00049, 4.99603, 4.98871, 4.976, 4.95966, 4.95539, 4.94027, 4.95897, 4.95862, 4.96141, 4.97706, 4.99024, 5.00848, 5.00923, 5.00868, 5.02509, 5.02413, 5.00788, 4.99778, 4.97733, 4.99127, 4.99663, 5.00175, 5.00654, 5.00388, 5.01597, 5.00895, 5.01567, 5.01376, 5.03003, 5.04007, 5.02869, 5.02885, 5.02731, 5.02639, 5.02171, 5.01673, 5.00511, 5.00762, 5.02298, 5.01718, 5.01301, 5.01668, 5.0067, 5.0198, 5.03026, 5.03902, 5.02352, 5.02099, 5.03265, 5.03585, 5.05143, 5.05184, 5.03925, 5.02324, 5.02363, 5.01547, 5.006, 5.01162, 5.01906, 5.02038, 5.01363, 5.00629, 4.99136, 4.9938, 4.99237, 4.99447, 4.97839, 4.98335, 4.98878, 4.99773, 4.99427, 4.98735, 5.00008, 5.00408, 5.02252, 5.03226, 5.00268, 4.99078, 4.99409, 5.00627, 5.00156, 4.9849, 4.99618, 4.99987, 4.99914, 5.00386, 4.98971, 4.9642, 4.97738, 4.96034, 4.9469, 4.95372, 4.95321, 4.95287, 4.96885, 4.97445, 4.97976, 4.98532, 4.98349, 4.99167, 4.98743, 4.98533, 4.97677, 5.00423, 5.00308, 5.01004, 5.01873, 5.02754, 5.03339, 5.03178, 5.02054, 5.02475, 5.01198, 5.00316, 5.01218, 5.00823, 4.99821, 4.99949, 4.99103, 5.00775, 5.02682, 5.0269, 5.0258, 5.02559, 5.01521, 5.0216, 5.01089, 5.00037, 4.99423, 5.01383, 5.02007, 5.0249, 5.03237, 5.03194, 5.03857, 5.01556, 5.01725, 5.00368, 5.00707, 4.99961, 5.00222, 4.99604, 4.99099, 4.99553, 4.99591, 5.00663, 5.00316, 5.01098, 5.01009, 5.00636, 5.01625, 5.03334, 5.02777, 5.01252, 4.99912, 5.01391, 5.00729, 5.00825, 5.00955, 5.00633, 4.99622, 4.99514, 4.99904, 5.00666, 5.01437, 5.01667, 5.00535, 4.988, 4.98996, 4.9849, 5.00247, 4.99387, 5.00968, 5.02552, 5.0212, 5.02222, 5.02837, 5.00902, 5.00878, 5.01909, 5.00922, 5.00135, 4.99961, 5.0172, 5.00736, 5.01932, 5.02406, 5.01684, 5.01353, 5.01321, 5.01415, 5.00449, 5.01173, 5.00242, 5.00823, 5.00028, 4.98971, 4.97746, 4.98548, 4.99807, 4.99987, 5.00806, 4.99603, 5.00056, 5.00661, 5.00805, 5.00267, 4.98394, 4.97743, 4.98519, 4.99822, 5.00212, 5.0006, 5.0053, 5.00429, 5.00614, 5.00333, 4.99113, 4.99095, 4.9928, 4.99153, 4.99844, 4.99548, 4.99407, 4.98359, 4.96754, 4.97256, 4.95835, 4.94245, 4.94511, 4.93727, 4.94131, 4.94524, 4.97139, 4.97887, 4.98836, 4.99759, 4.99386, 4.98669, 4.97511, 4.98857, 5.00007, 4.9923, 4.97659, 4.97808, 4.97206, 4.97161, 4.98486, 4.99543, 4.98309, 4.99266, 4.97585, 4.98034, 4.97824, 4.97816, 4.96373, 4.97338, 4.98048, 4.95819, 4.95939, 4.95065, 4.95399, 4.952, 4.94843, 4.9593, 4.9617, 4.9745, 4.96862, 4.96717, 4.95768, 4.9504, 4.94851, 4.93706, 4.95327, 4.96579, 4.97257, 4.96185, 4.95622, 4.95376, 4.96571, 4.95864, 4.96309, 4.95107, 4.95742, 4.96601, 4.9698, 4.98835, 4.99556, 5.0019, 5.01224, 4.9951, 5.01198, 5.00687, 5.00645, 5.00683, 4.98977, 5.01128, 5.00662, 5.00531, 5.00079, 5.00987, 5.0039, 4.99963, 5.00219, 4.99769, 5.01591, 5.03661, 5.02494, 5.00804, 5.00185, 4.99588, 5.00177, 5.02421, 5.01657, 5.00909, 5.00836, 5.00152, 4.99482, 5.0072, 5.03121, 5.01575, 5.00787, 5.02219, 5.02787, 5.03339, 5.01786, 5.00901, 5.0112, 5.02224, 5.0141, 4.99106, 4.98477, 4.98182, 4.97617, 4.9585, 4.95864, 4.9714, 4.96366, 4.9532, 4.93932, 4.95864, 4.95629, 4.96693, 4.96451, 4.95331, 4.97249, 4.98562, 4.97957, 4.98466, 4.96958, 4.9674, 4.96945, 4.97158, 4.97157, 4.96122, 4.96235, 4.9584, 4.96772, 4.96988, 4.97379, 4.97239, 4.97936, 4.99138, 5.00773, 5.01008, 4.99739, 4.99939, 4.99183, 4.9931, 4.99552, 4.97972, 4.98398, 4.98136, 4.98932, 4.99801, 5.01753, 5.02806, 5.0126, 5.01316, 5.01984, 5.0169, 5.02794, 5.02583, 5.03317, 5.03315, 5.03688, 5.04376, 5.03914, 5.0385, 5.04532, 5.0476, 5.03771, 5.0301, 5.03053, 5.01586, 5.03524, 5.02147, 5.02924, 5.03744, 5.01374, 5.00816, 5.01282, 5.00863, 5.02352, 5.01856, 5.00559, 5.02189, 5.01118, 5.0045, 5.02621, 5.01627, 5.00849, 5.00947, 5.01993, 5.02924, 5.02113, 5.02476, 5.01733, 5.01128, 5.02387, 5.01969, 5.02251, 5.01161, 5.01563, 5.01203, 5.00578, 5.00109, 5.00876, 4.99087, 4.9812, 4.98893, 4.97364, 4.98522, 4.98419, 4.9743, 4.99281, 4.98772, 4.99419, 4.99993, 4.99396, 5.00103, 5.00057, 4.99471, 5.00252, 4.98909, 5.00448, 5.00273, 5.00182, 5.01811, 5.014, 5.0243, 5.01948, 5.023, 5.03146, 5.03505, 5.03802, 5.02401, 5.02176, 5.01025, 5.00036, 4.98892, 4.99488, 4.99645, 5.0089, 4.99997, 5.00306, 5.00848, 4.9949, 5.00925, 5.00757, 5.00926, 5.00572, 5.00695, 5.0106, 5.01614, 5.0278, 5.03059, 5.02858, 5.01932, 5.02044, 5.02235, 5.01857, 5.00674, 5.00076, 4.99908, 4.98576, 4.99195, 4.99949, 5.00329, 5.02254, 5.0273, 5.01531, 5.01995, 5.02932, 5.03637, 5.04087, 5.03364] \n",
    "pvar5= [1.04657, 1.04607, 1.04032, 1.04214, 1.05483, 1.04927, 1.06092, 1.05264, 1.05546, 1.05173, 1.03903, 1.03766, 1.04459, 1.01811, 1.05103, 1.06659, 1.05738, 1.0524, 1.03304, 1.044, 1.03914, 1.03658, 1.02526, 1.01845, 1.02045, 1.02828, 1.01449, 1.02091, 1.04782, 1.05268, 1.04141, 1.04167, 1.04225, 1.03886, 1.04366, 1.02154, 1.00712, 1.01109, 1.03949, 1.02388, 1.01737, 0.998283, 1.00657, 1.02091, 1.02517, 1.01931, 1.00525, 0.98794, 0.994431, 0.985444, 0.965438, 0.994018, 1.02322, 1.0024, 0.992235, 1.00596, 1.00269, 0.989425, 0.992246, 0.995186, 1.0054, 1.0293, 1.01326, 1.01422, 1.0445, 1.0256, 1.02724, 1.01067, 1.02318, 1.01488, 1.02727, 1.02773, 1.02927, 1.05104, 1.04168, 1.02144, 1.02192, 1.03892, 1.04429, 1.03375, 1.05803, 1.05897, 1.06647, 1.05508, 1.04876, 1.04425, 1.02146, 1.01321, 1.03486, 1.05111, 1.06703, 1.0816, 1.07339, 1.05279, 1.03656, 1.04206, 1.04913, 1.06324, 1.1054, 1.10187, 1.07307, 1.06873, 1.04958, 1.0438, 1.04933, 1.05524, 1.06987, 1.06053, 1.0342, 1.03933, 1.03269, 1.02483, 1.04456, 1.05469, 1.04393, 1.04454, 1.02637, 1.02622, 1.02374, 1.03452, 1.0294, 1.02719, 1.03983, 1.03306, 1.04745, 1.01267, 1.02053, 1.01385, 1.0202, 1.0223, 1.01641, 1.03819, 1.05836, 1.05063, 1.03788, 1.02817, 1.03043, 1.00463, 0.998073, 1.00746, 1.01122, 1.02159, 1.00679, 1.0097, 1.00704, 0.999556, 0.986982, 0.985589, 0.950651, 0.97218, 0.982796, 0.962157, 0.97752, 0.986148, 0.990152, 0.980485, 0.975129, 0.974331, 0.982109, 0.980981, 0.986297, 0.981605, 0.971535, 0.98237, 1.01075, 0.978162, 0.956652, 0.955835, 0.960718, 0.973372, 0.960112, 0.959631, 0.984586, 0.976559, 0.980505, 1.00587, 1.02486, 1.02595, 1.02387, 1.0291, 1.03417, 1.04418, 1.02004, 1.01937, 1.0086, 0.994957, 1.00136, 0.982927, 1.02079, 1.02627, 1.01476, 1.03662, 1.04686, 1.03933, 1.03241, 1.03865, 1.02577, 1.03693, 1.03692, 1.05695, 1.04885, 1.04161, 1.04309, 1.03873, 1.04466, 1.05349, 1.04967, 1.03726, 1.05086, 1.04585, 1.04892, 1.04374, 1.00813, 0.996723, 1.00418, 1.01346, 1.0175, 1.01594, 1.00981, 0.992662, 1.00241, 1.00267, 0.998185, 0.997385, 0.989811, 0.998029, 0.994263, 0.994225, 0.981288, 0.999626, 0.996239, 0.988501, 0.997069, 1.01553, 1.03553, 1.05339, 1.03271, 1.01965, 1.03555, 1.03611, 1.01155, 1.01571, 0.998659, 0.99686, 0.982757, 0.991088, 0.982651, 1.00437, 1.01148, 1.01166, 1.01392, 0.998991, 1.00651, 1.01802, 1.02125, 1.00932, 0.969478, 0.969178, 0.969446, 0.97941, 0.991261, 0.998458, 1.0189, 1.01633, 1.0284, 1.03023, 1.03319, 1.03958, 1.0464, 1.04665, 1.0366, 1.0188, 1.0245, 1.0286, 1.03101, 1.04604, 1.03225, 1.03575, 1.02591, 1.03518, 1.0193, 1.00608, 1.01064, 1.00166, 1.0058, 0.98973, 1.00051, 1.02599, 1.02088, 1.01671, 1.00608, 1.02645, 1.04416, 1.04786, 1.03628, 1.03802, 1.03705, 1.02637, 1.00925, 1.01365, 1.01372, 1.01162, 1.00123, 0.997398, 0.995581, 0.977938, 0.959738, 0.98044, 0.968965, 0.961874, 0.951079, 0.976547, 1.00168, 1.0011, 0.985078, 0.989653, 1.00157, 1.00392, 1.00279, 1.00506, 0.999497, 1.00855, 0.98608, 0.992539, 1.00254, 0.999926, 1.00618, 1.00802, 0.986292, 0.971779, 0.951932, 0.949594, 0.935071, 0.923486, 0.933033, 0.932666, 0.914664, 0.947024, 0.941088, 0.949746, 0.963113, 0.971101, 0.971346, 0.977788, 0.985242, 0.988786, 0.987873, 0.976758, 0.980644, 0.978734, 0.967463, 0.974496, 0.985337, 0.989844, 0.99282, 0.989393, 1.02767, 1.01725, 1.02839, 1.02791, 1.01732, 1.01338, 0.988817, 0.996428, 1.00868, 1.01423, 1.0176, 1.01529, 1.01045, 1.01394, 1.0071, 1.02883, 1.0119, 1.00223, 1.01002, 0.994425, 0.991623, 1.00845, 1.02017, 1.02456, 1.04315, 1.03638, 1.02723, 1.02972, 1.00509, 1.0302, 1.02735, 1.01436, 1.02488, 1.0082, 1.02133, 1.00581, 1.01546, 0.988205, 1.0019, 1.00573, 0.974149, 0.990345, 0.980362, 0.972437, 0.973359, 0.958298, 0.965235, 0.976308, 0.953468, 0.947225, 0.946493, 0.946009, 0.945581, 0.964548, 0.940558, 0.935604, 0.935838, 0.952227, 0.958454, 0.944311, 0.950634, 0.974908, 0.978069, 0.961203, 0.947506, 0.972682, 0.992439, 1.00644, 1.00739, 1.00979, 1.02107, 1.0224, 1.02181, 1.03392, 1.02698, 1.026, 1.0246, 1.02942, 1.02659, 0.982735, 0.984879, 0.985442, 1.00045, 0.998781, 0.991642, 0.996473, 1.0073, 1.02676, 1.02104, 1.01383, 1.01251, 0.989593, 0.992626, 0.976213, 0.966741, 0.965713, 1.00307, 1.01394, 1.03344, 1.04781, 1.01833, 1.01007, 0.993784, 0.9881, 0.968747, 0.977812, 0.975319, 0.985872, 0.996047, 0.997616, 1.00382, 1.01301, 1.01582, 0.991564, 0.98802, 0.972981, 0.953087, 0.954025, 0.957837, 0.967131, 0.979687, 0.959093, 0.986971, 0.98408, 0.972137, 0.96931, 0.977316, 0.995646, 0.975217, 0.977991, 0.969991, 0.947634, 0.948346, 0.971422, 0.991958, 0.968315, 0.987853, 0.988792, 1.00442, 0.979739, 0.997171, 0.991567, 0.989, 0.983269, 0.975002, 0.974128, 0.976481, 0.996029, 0.993465, 1.01181, 1.03274, 1.02997, 1.01134, 1.01297, 1.01441, 1.00214, 1.00067, 0.996796, 1.01074, 1.03627, 1.03994, 1.06247, 1.05036, 1.0639, 1.05523, 1.02281, 0.985695, 1.01377, 1.01246, 1.01848, 1.03013, 1.01708, 1.0209, 1.03935, 1.03223, 1.02574, 1.00568, 1.00074, 1.00004, 0.992528, 0.999575, 1.01489, 1.00784, 0.998024, 1.01672, 1.01753, 1.00189, 0.990775, 0.997989, 0.977188, 0.983719, 0.996639, 1.01835, 1.02743, 1.05795, 1.06524, 1.04536, 1.04252, 1.0318, 1.02022, 1.01436, 1.0022, 0.999933, 0.982892, 0.984489, 0.987419, 0.987086, 0.990063, 0.979759, 0.97732, 0.983133, 0.978875, 0.974303, 0.96317, 0.958248, 0.956002, 0.957578, 0.945791, 0.961309, 0.968854, 0.982346, 0.983072, 0.977496, 0.998844, 0.995569, 0.961955, 0.970831, 0.965695, 0.982983, 0.97681, 0.967822, 0.959331, 0.979882, 1, 1.00549, 1.01186, 1.01219, 1.00281, 1.02008, 1.00784, 0.998195, 0.984403, 0.958131, 0.954622, 0.934461, 0.960204, 0.973562, 0.986001, 0.978468, 0.955059, 0.95954, 0.953872, 0.977359, 0.976975, 1.00702, 1.01574, 1.01602, 1.01251, 1.00429, 1.00557, 1.05261, 1.07749, 1.06275, 1.05738, 1.03126, 1.01587, 1.02484, 1.02328, 1.02117, 1.01335, 0.997658, 1.01679, 1.03536, 1.02687, 1.03453, 1.0506, 1.04318, 1.0697, 1.10053, 1.0936, 1.07624, 1.07088, 1.07105, 1.0564, 1.04542, 1.03757, 1.02807, 1.02217, 1.01233, 0.995277, 0.986002, 0.996266, 1.00962, 1.02412, 1.03328, 1.03988, 1.02155, 1.04183, 1.03015, 1.00546, 1.01283, 0.998124, 0.97779, 0.980022, 0.992544, 1.00179, 1.01029, 0.988429, 0.967873, 0.966341, 0.981246, 0.99195, 0.979067, 1.01176, 1.01498, 1.02073, 1.02872, 1.03398, 1.02557, 1.01579, 1.01157, 1.02037, 1.01353, 1.00577, 0.979667, 0.985985, 0.969712, 0.972912, 0.973202, 0.982937, 0.983626, 0.975162, 0.963732, 0.968939, 0.978546, 0.977, 0.988238, 0.985733, 0.977577, 0.974057, 0.966782, 0.969756, 0.970644, 0.999505, 0.990817, 0.966859, 0.956614, 0.959765, 0.957135, 0.968925, 0.97013, 0.968741, 0.97289, 0.98081, 0.988223, 0.981229, 0.981617, 0.997556, 0.995843, 0.983726, 0.991545, 1.00246, 1.01716, 1.00335, 1.02149, 1.00408, 1.01192, 0.990521, 0.991678, 0.976573, 0.957045, 0.940022, 0.930656, 0.945269, 0.970568, 0.99802, 1.01159, 1.0157, 1.02814, 0.988472, 0.993789, 0.986672, 0.961662, 0.956778, 0.967076, 0.977574, 0.958746, 0.978221, 0.978953, 1.009, 0.997127, 1.00737, 1.00676, 1.01009, 1.00987, 1.02413, 1.02773, 1.03019, 1.04605, 1.06658, 1.06048, 1.04129, 1.05073, 1.04077, 1.02866, 1.02189, 1.03855, 1.0381, 1.03392, 1.03199, 1.03973, 1.0543, 1.04311, 1.05645, 1.05091, 1.04626, 1.04927, 1.0522, 1.06451, 1.04874, 1.03061, 1.02153, 1.01975, 1.03181, 1.04662, 1.02945, 1.01569, 1.01048, 0.987692, 0.981141, 0.99894, 1.00687, 1.0091, 1.02451, 1.01926, 1.03924, 1.0248, 1.01845, 1.04267, 1.05837, 1.06068, 1.05571, 1.05174, 1.06405, 1.07106, 1.06801, 1.06795, 1.06875, 1.07552, 1.06274, 1.03807, 1.01765, 1.03756, 1.01662, 1.01374, 1.0399, 1.01745, 1.01171, 1.02778, 1.04242, 1.0231, 1.01952, 1.0301, 1.02059, 1.01874, 1.03168, 1.02862, 1.01916, 1.01731, 1.00416, 1.04692, 1.02947, 1.01365, 1.01234, 0.997569, 1.00337, 0.995564, 0.96163, 0.97204, 0.967599, 0.987591, 0.985287, 0.98013, 0.9847, 0.976477, 0.988178, 1.00976, 1.01426, 1.01515, 1.02299, 0.98941, 1.00004, 0.997695, 1.00109, 0.987749, 0.994215, 0.981984, 0.977557, 0.97178, 0.955742, 0.963617, 0.966853, 0.948038, 0.949621, 0.963744, 0.963197, 0.987569, 0.987575, 0.982972, 0.979037, 0.977954, 0.977409, 0.978639, 0.982955, 0.990755, 1.00019, 0.99756, 1.02867, 1.04007, 1.04722, 1.06217, 1.02462, 1.03113, 1.04525, 1.02073, 1.0205, 1.00636, 0.997974, 1.00006, 0.997652, 1.01099, 1.00524, 1.01018, 1.02305, 1.0069, 1.02661, 1.05755, 1.06974, 1.05565, 1.05885, 1.03705, 1.01943, 1.03339, 1.01618, 1.00624, 0.9998, 1.00099, 0.99446, 0.989375, 0.984193, 0.972323, 0.963563, 0.982149, 1.01001, 0.993875, 0.984485, 1.00713, 1.01018, 1.02043, 1.04502, 1.04229, 1.05816, 1.05017, 1.0451, 1.03025, 1.04145, 1.0222, 1.01105, 1.0262, 1.01532, 1.0336, 1.01458, 1.00843, 1.00946, 1.01183, 0.991391, 0.994876, 0.992145, 0.982165, 0.984722, 0.957871, 0.973696, 0.978878, 0.990671, 0.995449, 0.991085, 1.01231, 1.00541, 1.00412, 1.03028, 1.01886, 1.03199, 1.05471, 1.05738, 1.0702, 1.07376, 1.06407, 1.06655, 1.05598, 1.03789, 1.06002, 1.05396, 1.06765, 1.04629, 1.04384, 1.06443, 1.0512, 1.05714, 1.03744, 1.03685, 1.01327, 1.02617, 1.02179, 1.01157, 0.999004, 1.00583, 0.983717, 1.02469, 1.02328, 1.02452, 1.0169, 1.03057, 1.04412, 1.03498, 1.039, 1.03733, 1.02444, 1.0331, 1.02142, 1.02531, 1.02422, 1.0265, 1.01418, 0.999499, 1.00002, 0.976615, 0.975132, 0.955521, 0.959339, 0.961219, 0.955534, 0.999795, 1.01674, 1.04072, 1.03531, 1.04882, 1.04354, 1.03597, 1.0272, 1.03331, 1.05219, 1.04555, 1.03227, 1.03187, 1.04634] \n",
    "vmean5= [4.9907, 4.97388, 4.99686, 5.00345, 5.01376, 5.01304, 5.01691, 5.0358, 5.04962, 5.032, 5.03489, 5.00732, 5.01539, 4.99813, 4.9759, 4.97809, 4.9913, 4.99425, 4.99487, 4.99339, 4.99867, 5.0389, 5.03, 5.03878, 5.05849, 5.06579, 5.05026, 5.05842, 5.04552, 5.03467, 5.0256, 4.99318, 4.99385, 4.99886, 4.99425, 4.98585, 4.99199, 4.98456, 4.98281, 4.995, 5.00357, 5.02702, 5.0149, 5.00547, 4.99356, 4.99816, 4.9938, 4.99314, 5.00425, 4.99856, 4.98922, 5.00245, 5.00892, 5.02875, 5.03705, 5.03779, 5.03905, 5.02582, 5.03131, 5.00753, 5.00981, 4.98151, 4.98474, 4.98401, 5.00264, 5.004, 4.99674, 5.0289, 5.02969, 5.02789, 5.03289, 5.06671, 5.05661, 5.02831, 5.01224, 5.01122, 5.01854, 5.00366, 4.97968, 5.00415, 4.9951, 4.98334, 4.95349, 4.97616, 4.99211, 4.98415, 4.98482, 4.97259, 4.97745, 4.96349, 4.97361, 4.9781, 5.01224, 5.0112, 5.00942, 5.01576, 5.04657, 5.05197, 5.06637, 5.09135, 5.0945, 5.07159, 5.08283, 5.08604, 5.08519, 5.09814, 5.07197, 5.07632, 5.05734, 5.03643, 5.01939, 5.01721, 4.99964, 4.97909, 4.97968, 4.94555, 4.95023, 4.93361, 4.95187, 4.94969, 4.97102, 4.99561, 4.986, 4.97643, 4.98456, 4.98917, 5.00317, 5.00702, 5.02512, 5.0168, 5.01113, 5.00035, 5.0153, 5.00963, 4.99223, 5.0005, 5.00341, 5.01177, 5.00161, 5.01104, 5.02672, 5.0235, 5.01012, 5.0344, 5.04716, 5.03941, 5.0237, 5.00844, 4.9828, 4.97785, 4.96538, 4.96328, 4.99145, 4.96329, 4.96248, 4.95463, 4.95105, 4.94699, 4.95768, 4.9715, 4.97371, 4.96692, 4.96736, 4.9851, 4.98872, 5.01169, 5.02142, 5.04831, 5.04227, 5.04059, 5.03419, 5.02321, 5.01811, 5.02756, 5.01507, 4.99664, 4.98307, 4.98531, 4.96799, 4.96539, 4.97993, 4.98219, 4.97231, 4.97996, 4.98686, 4.99088, 5.00263, 5.00107, 5.04627, 5.02469, 5.00659, 5.01232, 5.02227, 5.01425, 5.01999, 5.00717, 5.00146, 5.01528, 5.00388, 4.99586, 4.99878, 5.00843, 5.00194, 4.9905, 4.99389, 4.99487, 5.00307, 4.97519, 4.97384, 4.99326, 4.98208, 4.9896, 4.98696, 5.00556, 5.00564, 5.01152, 4.99831, 5.00359, 5.01566, 5.00008, 5.01121, 4.99564, 4.98788, 4.98173, 4.99327, 5.00239, 4.9916, 5.0325, 5.00519, 5.0095, 5.01232, 5.03321, 5.02973, 5.02056, 5.0092, 5.00075, 5.01785, 4.98331, 5.00073, 5.0292, 5.01747, 4.9774, 4.98251, 4.9802, 4.99367, 4.98969, 4.97935, 4.99227, 4.97492, 4.95699, 4.95244, 4.96009, 4.99146, 5.00192, 4.99627, 5.00991, 5.02174, 5.02354, 5.03182, 5.0239, 5.03738, 5.04233, 5.0077, 5.02462, 5.02592, 5.00183, 4.99893, 4.983, 4.98217, 4.98782, 4.96975, 4.98474, 5.02069, 5.00159, 4.99642, 5.01855, 5.01506, 5.00794, 4.99814, 4.9877, 4.98365, 4.99037, 4.99967, 4.99747, 5.01171, 4.99514, 4.99202, 5.00427, 5.01846, 5.0193, 5.01809, 4.99943, 4.99458, 4.97488, 4.9583, 4.94666, 4.94649, 4.94421, 4.93813, 4.94758, 4.96914, 5.01296, 4.97301, 4.97495, 4.98336, 4.99061, 4.99946, 4.98926, 4.99549, 5.00148, 4.99922, 4.98388, 5.00689, 5.02188, 5.01703, 5.01441, 4.99808, 4.99996, 4.99609, 4.99012, 4.98605, 4.98661, 4.98854, 4.97742, 4.97846, 5.0053, 5.01114, 5.009, 5.01813, 5.03705, 5.00934, 5.01198, 4.99193, 5.00258, 5.01637, 5.01413, 5.00813, 5.00374, 4.99022, 5.00348, 5.02411, 4.99519, 5.01049, 5.00631, 5.0005, 4.98688, 4.99303, 4.99772, 5.00065, 4.97556, 4.95246, 4.96228, 4.97026, 4.98144, 4.97326, 4.97315, 4.97101, 4.97377, 4.98013, 4.97588, 4.988, 4.99731, 4.99666, 4.99991, 4.99848, 5.00923, 5.02012, 4.99934, 5.01168, 5.00757, 5.02336, 5.019, 5.01715, 5.01036, 4.99961, 4.97474, 4.96967, 4.95767, 4.97335, 4.96661, 4.95511, 4.9642, 4.954, 4.95963, 4.97224, 5.01755, 5.02271, 5.03507, 5.03692, 5.04079, 5.06464, 5.06471, 5.04859, 5.02993, 5.02846, 5.0278, 5.03674, 5.03248, 5.01041, 5.01296, 5.00549, 4.99919, 4.99475, 5.01349, 5.00901, 4.98184, 4.97522, 4.98506, 4.99638, 5.00582, 4.99625, 5.00452, 5.01538, 5.01528, 4.99299, 4.98303, 4.97684, 4.98128, 4.9839, 4.97705, 4.96754, 4.95473, 4.95659, 4.91695, 4.94535, 4.9712, 4.98816, 4.97918, 4.98298, 4.99795, 5.00009, 5.00645, 4.99779, 5.04094, 5.02477, 5.00201, 5.00085, 5.00662, 4.99566, 4.96134, 4.96069, 4.95625, 4.97058, 4.95664, 4.96592, 4.98378, 4.99615, 4.98957, 4.98947, 5.02727, 5.03241, 5.04143, 5.02926, 5.02921, 5.02446, 5.01061, 5.01122, 5.01965, 5.01374, 4.99641, 4.99633, 4.98153, 4.99791, 4.99495, 5.00612, 5.00872, 5.01322, 5.02612, 5.03075, 5.04319, 5.07046, 5.07836, 5.05916, 5.05315, 5.04907, 5.05936, 5.05213, 5.03277, 5.0289, 5.004, 4.98968, 4.98002, 4.98195, 4.98811, 5.01248, 5.00581, 4.99858, 4.99707, 4.99975, 5.00366, 4.98889, 4.98637, 4.99128, 4.96687, 4.97583, 4.95568, 4.95356, 4.96331, 4.98118, 4.9927, 4.99097, 5.00136, 5.00238, 5.01222, 5.0121, 5.0121, 5.01409, 5.00754, 4.99697, 5.00754, 5.00683, 5.01759, 5.02437, 5.00158, 5.00093, 4.99921, 4.98232, 4.95971, 4.9398, 4.92537, 4.94112, 4.92677, 4.91457, 4.94168, 4.96452, 4.98608, 5.00411, 5.0255, 5.05068, 5.06972, 5.04064, 5.03223, 5.02069, 5.02067, 5.01095, 4.99824, 5.00738, 5.00164, 4.99932, 4.98806, 5.01002, 5.01501, 5.05876, 5.06062, 5.04648, 5.04722, 5.04042, 5.04708, 5.02657, 5.03198, 5.01356, 5.01752, 5.01598, 4.99613, 4.99225, 4.99957, 4.99194, 5.00473, 5.02504, 5.04192, 5.03319, 5.0328, 5.03517, 5.04174, 5.06386, 5.06105, 5.06807, 5.03743, 5.02913, 5.01319, 5.01244, 5.0188, 5.01866, 5.01657, 4.99143, 4.97652, 4.96756, 4.97962, 4.98097, 4.98963, 4.97504, 4.97057, 4.97329, 4.97092, 4.96753, 4.97188, 4.99816, 5.0045, 5.01959, 5.03837, 5.02808, 5.00886, 5.00843, 5.01116, 5.00901, 5.00121, 5.00072, 5.00227, 4.97755, 4.97006, 4.98102, 4.97531, 4.97389, 4.94721, 4.92403, 4.94828, 4.93711, 4.92165, 4.9359, 4.93314, 4.95152, 4.98064, 4.98132, 4.99729, 5.01068, 5.00586, 5.00124, 5.03653, 5.01965, 5.02206, 5.02977, 5.03879, 5.04833, 5.04983, 5.04702, 5.04735, 5.04503, 5.01707, 5.02596, 5.01958, 4.99504, 4.99046, 4.97516, 4.97748, 5.00775, 5.01481, 5.02485, 5.03414, 5.01635, 5.02569, 5.02419, 5.01372, 5.01782, 5.02126, 5.00897, 5.00566, 5.01563, 5.01877, 5.03955, 5.0096, 5.02132, 5.0251, 5.0382, 5.00793, 5.00394, 4.98754, 4.97622, 4.97372, 4.96574, 4.98865, 4.98638, 5.00726, 5.00069, 5.01069, 5.01513, 5.04355, 5.04534, 5.02805, 5.01636, 5.02249, 5.01455, 5.00927, 5.01663, 5.01618, 4.99684, 4.96967, 4.97414, 4.99595, 5.01944, 5.01375, 5.00544, 4.98453, 4.98093, 4.98065, 5.00398, 4.99739, 5.01547, 5.02365, 5.00878, 5.00555, 5.02624, 5.03068, 5.02497, 5.04441, 5.02862, 5.02666, 5.00348, 5.00899, 4.99651, 5.00648, 5.00555, 5.01601, 5.01526, 5.00449, 5.02121, 5.01336, 5.02783, 4.99512, 5.00991, 4.99337, 4.97778, 4.96382, 4.97404, 4.97796, 4.98409, 4.99863, 4.98019, 4.99841, 4.98954, 5.00264, 5.00736, 5.00198, 4.99373, 4.98595, 4.99914, 4.99284, 4.99615, 5.00258, 4.99918, 4.99324, 4.99061, 5.00195, 5.01229, 5.004, 4.99691, 4.99365, 4.99619, 4.98786, 4.97687, 4.95885, 4.95887, 4.95006, 4.92907, 4.92963, 4.9172, 4.9122, 4.90859, 4.93673, 4.94681, 4.97481, 4.98441, 4.99154, 5.01091, 4.99879, 5.02259, 5.0362, 5.03479, 4.99336, 4.99168, 4.96972, 4.96204, 4.97728, 4.98603, 4.99112, 4.98813, 4.95664, 4.9708, 4.97789, 4.98169, 4.9701, 4.97865, 4.98118, 4.94023, 4.95295, 4.93137, 4.94529, 4.93854, 4.9308, 4.9429, 4.95075, 4.96027, 4.95345, 4.96565, 4.96245, 4.95818, 4.95121, 4.9425, 4.96395, 4.96527, 4.97019, 4.95272, 4.95286, 4.94543, 4.96634, 4.96356, 4.97287, 4.96739, 4.96438, 4.96436, 4.9636, 4.98557, 5.00533, 5.01557, 5.02414, 5.01423, 5.03257, 5.04139, 5.04178, 5.0405, 5.02386, 5.02677, 5.01968, 5.00592, 4.9925, 5.01514, 5.00143, 4.99726, 4.9977, 4.99107, 5.02205, 5.03464, 5.02983, 5.01023, 5.01057, 4.99891, 5.004, 5.03951, 5.02413, 5.02309, 5.01041, 4.98124, 4.98074, 5.00358, 5.03945, 5.02782, 5.01516, 5.01091, 5.02872, 5.03618, 5.02812, 5.02691, 5.03102, 5.03474, 5.00288, 4.98944, 4.98939, 4.97462, 4.95218, 4.92904, 4.93013, 4.94918, 4.9415, 4.91133, 4.89616, 4.92817, 4.93891, 4.9465, 4.94374, 4.95714, 4.97633, 4.97471, 4.97782, 4.98729, 4.99637, 4.98051, 4.98398, 4.97814, 4.97694, 4.98339, 4.96678, 4.9439, 4.96042, 4.95422, 4.96945, 4.96722, 4.97372, 4.98926, 5.00623, 5.02583, 5.02248, 5.02603, 5.00685, 5.02002, 5.01889, 4.99881, 5.00146, 4.98828, 4.97479, 4.97576, 5.01067, 5.02283, 5.01328, 5.02259, 5.03008, 5.04313, 5.05517, 5.05735, 5.06616, 5.05838, 5.04474, 5.04009, 5.04876, 5.05302, 5.05435, 5.0631, 5.05015, 5.03591, 5.032, 5.02426, 5.02962, 5.01211, 5.02032, 5.03387, 5.00472, 4.98874, 4.99659, 4.99913, 5.01551, 5.0181, 4.98766, 5.01707, 5.00417, 4.9799, 5.01933, 5.02022, 5.01163, 5.0151, 5.01272, 5.02782, 5.0304, 5.02827, 5.01732, 5.02648, 5.0187, 5.01893, 5.03076, 5.02591, 5.01575, 4.99703, 5.0045, 4.98971, 5.0002, 4.99236, 4.96736, 4.97487, 4.95438, 4.9685, 4.97235, 4.95791, 4.97235, 4.97438, 4.97376, 4.9938, 4.99427, 5.00253, 5.01529, 4.99945, 5.00805, 5.01095, 5.00939, 5.01167, 5.00508, 5.01986, 5.02352, 5.02828, 5.02872, 5.03668, 5.03264, 5.05985, 5.05119, 5.04323, 5.03609, 5.01384, 5.00984, 4.98616, 4.99337, 4.9898, 4.9882, 4.97769, 4.97192, 4.98729, 4.97709, 5.00316, 5.00453, 5.02337, 5.01707, 5.01734, 5.00874, 5.01946, 5.03558, 5.03284, 5.04373, 5.03072, 5.02781, 5.0293, 5.03014, 5.01977, 5.01484, 4.99967, 4.96957, 4.97921, 4.98376, 4.98859, 5.00463, 5.01153, 5.00399, 5.02079, 5.0339, 5.046, 5.06784, 5.06133] \n",
    "vvar5= [1.04455, 1.04461, 1.03184, 1.02757, 1.05441, 1.04937, 1.05573, 1.02222, 1.03659, 1.05266, 1.04082, 1.03917, 1.0527, 1.02596, 1.04233, 1.07032, 1.05318, 1.0478, 1.02366, 1.0366, 1.04772, 1.04497, 1.02838, 1.03704, 1.00884, 0.99408, 0.989437, 1.00233, 1.03877, 1.04761, 1.03071, 1.02962, 1.04441, 1.05348, 1.05767, 1.04434, 1.02856, 1.01898, 1.02115, 1.00225, 1.00501, 0.977718, 0.979479, 0.994502, 1.00253, 1.01251, 1.01353, 0.994524, 0.981006, 0.971511, 0.94823, 0.998778, 1.02274, 0.992145, 0.971273, 0.978677, 0.997169, 0.99271, 0.989859, 0.999732, 1.03196, 1.03706, 1.00366, 1.01482, 1.05275, 1.03272, 1.04082, 1.03131, 1.05614, 1.04595, 1.03897, 1.01573, 1.03818, 1.05853, 1.03455, 1.02603, 1.02096, 1.05194, 1.05119, 1.04966, 1.07069, 1.06932, 1.07669, 1.04428, 1.05029, 1.06952, 1.04353, 1.01778, 1.0351, 1.05891, 1.05413, 1.07763, 1.05288, 1.04752, 1.03609, 1.04399, 1.07251, 1.09921, 1.12588, 1.11064, 1.06781, 1.05471, 1.04801, 1.04948, 1.07311, 1.07865, 1.0837, 1.06716, 1.00132, 0.998223, 1.00993, 1.008, 1.04127, 1.05251, 1.03342, 1.02985, 0.999025, 0.999854, 1.02227, 1.03296, 1.02324, 1.03408, 1.03366, 1.0142, 1.03596, 0.995622, 1.01743, 1.01303, 1.0274, 1.01759, 1.01147, 1.03541, 1.04548, 1.04429, 1.02793, 1.04419, 1.04164, 1.02072, 1.00348, 1.01493, 1.02466, 1.01395, 0.962631, 0.976512, 0.975777, 0.97622, 0.960497, 0.98816, 0.96289, 0.95178, 0.957011, 0.938975, 0.952785, 0.958844, 0.970896, 0.954054, 0.959024, 0.961741, 1.00231, 0.995362, 0.983827, 0.992784, 0.980858, 0.978168, 0.996171, 0.972831, 0.961653, 0.962113, 0.949314, 0.969745, 0.951321, 0.944608, 0.984132, 0.9692, 0.943927, 0.993519, 1.04692, 1.05141, 1.04995, 1.04769, 1.06754, 1.09877, 1.04617, 1.05256, 1.05241, 1.0155, 1.00118, 0.984384, 1.01638, 1.01533, 0.999906, 1.01135, 1.03692, 1.03092, 1.04027, 1.07919, 1.04704, 1.08137, 1.05341, 1.06631, 1.06849, 1.05321, 1.03971, 1.04255, 1.05392, 1.0597, 1.07142, 1.04599, 1.05905, 1.03294, 1.04937, 1.04947, 1.01094, 1.00142, 0.997092, 0.990615, 0.996169, 1.00379, 0.988605, 0.961328, 0.96607, 0.967759, 0.987691, 1.00352, 0.99154, 0.982606, 0.978914, 0.980774, 0.967389, 1.00689, 0.985263, 0.97964, 0.990368, 1.0071, 1.03716, 1.05882, 1.04421, 1.0293, 1.07325, 1.05195, 1.03966, 1.05191, 1.03545, 1.00355, 0.966583, 0.955844, 0.955295, 0.985466, 0.988509, 0.985177, 0.999507, 0.982751, 1.0021, 1.02337, 1.04184, 1.03107, 0.987535, 0.975632, 0.965264, 0.966434, 0.966307, 0.992515, 1.00794, 1.00275, 1.00206, 1.01181, 1.06109, 1.0777, 1.09234, 1.08815, 1.074, 1.05047, 1.04747, 1.04557, 1.02888, 1.04798, 1.03438, 1.03356, 1.00893, 1.01995, 1.01102, 1.01587, 1.01568, 0.998528, 1.00235, 0.962133, 0.973915, 1.01416, 1.00152, 0.989228, 1.00143, 1.03034, 1.0544, 1.06102, 1.0615, 1.06676, 1.07216, 1.02694, 1.01348, 1.02682, 1.03934, 1.0128, 0.979957, 0.962873, 0.979489, 0.954184, 0.929567, 0.947999, 0.94829, 0.936044, 0.9176, 0.945582, 0.979754, 0.979601, 0.96507, 0.981377, 1.01827, 1.00668, 1.01652, 1.0342, 1.0459, 1.03954, 0.987897, 0.997187, 1.02079, 1.00683, 1.01383, 1.00582, 0.990069, 0.961835, 0.939597, 0.935612, 0.928482, 0.913259, 0.903182, 0.895914, 0.86261, 0.890845, 0.894479, 0.911417, 0.950646, 0.956714, 0.978544, 0.995696, 0.997665, 1.01473, 1.03267, 0.997563, 1.01264, 1.01414, 0.98361, 0.986128, 0.989873, 0.990542, 0.992385, 0.981101, 1.01831, 1.02239, 1.03478, 1.04613, 1.05329, 1.05818, 1.01321, 1.01617, 1.02078, 1.03542, 1.00277, 1.00755, 0.991791, 0.994344, 0.997864, 1.02842, 1.03221, 1.01791, 1.02349, 0.996421, 0.984077, 1.00103, 1.02103, 1.02171, 1.04658, 1.02776, 1.02684, 1.04156, 1.02255, 1.05536, 1.05464, 1.02542, 1.02557, 1.01178, 1.01105, 0.988153, 1.00698, 0.976826, 1.00692, 0.989459, 0.955577, 0.981008, 0.958837, 0.959255, 0.944109, 0.935202, 0.933821, 0.962079, 0.931854, 0.909851, 0.934162, 0.919113, 0.924189, 0.948207, 0.919134, 0.924166, 0.924767, 0.923485, 0.957502, 0.946796, 0.944785, 0.982344, 0.985241, 0.957569, 0.95564, 0.988207, 1.00998, 1.00936, 1.02897, 1.04014, 1.058, 1.04145, 1.03927, 1.06661, 1.08159, 1.07052, 1.05003, 1.03608, 1.04039, 0.997541, 0.979343, 0.978915, 0.988654, 0.971978, 0.973588, 0.974238, 0.97878, 0.989791, 1.00229, 1.02925, 1.03021, 1.01612, 1.00669, 0.974825, 0.975839, 0.969815, 0.990616, 0.984806, 1.01191, 1.03662, 1.00994, 1.02047, 1.00387, 1.01347, 1.00548, 1.02106, 0.988824, 0.971511, 0.957644, 0.949923, 0.966384, 0.987337, 1.0084, 0.991227, 1.0064, 0.987271, 0.965353, 0.974837, 0.949295, 0.946159, 0.954984, 0.924344, 0.950676, 0.957403, 0.952099, 0.965831, 0.987198, 1.00658, 0.992299, 0.985917, 0.961833, 0.961264, 0.930665, 0.965626, 0.988003, 0.968259, 0.98995, 0.972246, 0.999235, 0.974863, 0.994772, 1.02188, 1.02188, 0.990717, 0.967699, 0.987308, 0.978207, 0.987212, 0.971696, 1.01849, 1.03007, 1.03056, 1.01587, 1.02459, 1.0446, 1.0388, 1.03936, 1.014, 1.03047, 1.03791, 1.02002, 1.05212, 1.05311, 1.07612, 1.07035, 1.05189, 1.01789, 1.04611, 1.03108, 1.00861, 1.02175, 0.978205, 0.987641, 0.985574, 0.992142, 1.0216, 1.03116, 1.01209, 1.0042, 0.994828, 0.98667, 1.01094, 0.995648, 0.966126, 0.991374, 0.99672, 0.992105, 0.98798, 1.00108, 0.984445, 0.981188, 0.978749, 1.00563, 1.02868, 1.06099, 1.05287, 1.05217, 1.06752, 1.06692, 1.06999, 1.05669, 1.03859, 1.01083, 0.977086, 0.953601, 0.947925, 0.946285, 0.94773, 0.941429, 0.943964, 0.952964, 0.958943, 0.956085, 0.964823, 0.958287, 0.947222, 0.941191, 0.924802, 0.954378, 0.958448, 0.964019, 0.971244, 0.96278, 1.00021, 1.00762, 0.974306, 0.980975, 0.98688, 0.999862, 0.987778, 0.965086, 0.949396, 0.973224, 0.981214, 0.980576, 1.02148, 1.0197, 1.0208, 1.02858, 1.02858, 1.02168, 1.01993, 0.980603, 0.958907, 0.928307, 0.939652, 0.944009, 0.963113, 0.934108, 0.917474, 0.927932, 0.928249, 0.983416, 0.990586, 1.04034, 1.0349, 1.03181, 1.0122, 1.01027, 1.03358, 1.09028, 1.13171, 1.11022, 1.10332, 1.05603, 1.02998, 1.03678, 1.04561, 1.05712, 1.05032, 0.999703, 0.967952, 0.99627, 0.994477, 1.02415, 1.05042, 1.04131, 1.07491, 1.1128, 1.12143, 1.12839, 1.10775, 1.09667, 1.09185, 1.07926, 1.06584, 1.05156, 1.01507, 0.966423, 0.956443, 0.955017, 0.954335, 0.966014, 0.979822, 0.997957, 1.01702, 1.00742, 1.03328, 1.03068, 1.02161, 1.04426, 1.02227, 0.989235, 0.979196, 0.983476, 0.963637, 0.9944, 0.960611, 0.934717, 0.948413, 0.951747, 0.979632, 0.985737, 1.02156, 1.00808, 1.01103, 1.00924, 1.03732, 1.05846, 1.05944, 1.0454, 1.04329, 1.05482, 1.0187, 0.980818, 0.982283, 0.95107, 0.941315, 0.949893, 0.959989, 0.960594, 0.935438, 0.930413, 0.944949, 0.969766, 0.969916, 0.991033, 0.991811, 0.989586, 0.978229, 0.969367, 0.966395, 0.98119, 1.00524, 0.992282, 0.966444, 0.937109, 0.946275, 0.952075, 0.970735, 0.969702, 0.96675, 0.974956, 0.953715, 0.960961, 0.980817, 0.994401, 1.01256, 1.01668, 0.992286, 0.99718, 1.01958, 1.04052, 1.02043, 1.02294, 1.02376, 1.02928, 1.01103, 0.999079, 0.999398, 0.964418, 0.927118, 0.900944, 0.923455, 0.92825, 0.964675, 0.970597, 0.995054, 1.01187, 0.989706, 1.01854, 1.0275, 1.02606, 1.00117, 0.990691, 0.973811, 0.92609, 0.93714, 0.932845, 0.989182, 0.977576, 0.998747, 1.02422, 1.05039, 1.03285, 1.04679, 1.06896, 1.05445, 1.08186, 1.07559, 1.07782, 1.06582, 1.07546, 1.0699, 1.06305, 1.031, 1.05265, 1.04434, 1.03534, 1.0077, 1.01233, 1.04537, 1.02506, 1.04709, 1.06053, 1.06631, 1.06794, 1.05813, 1.07098, 1.06238, 1.03819, 1.01821, 1.02211, 1.01522, 1.04892, 1.02617, 1.0042, 1.00505, 0.950855, 0.952972, 0.989201, 1.00053, 0.998229, 1.00615, 0.981117, 1.01625, 1.01682, 1.01346, 1.06247, 1.09909, 1.08968, 1.07727, 1.09252, 1.09523, 1.09596, 1.07807, 1.09003, 1.10779, 1.09147, 1.07531, 1.03531, 1.01715, 1.03794, 0.998746, 0.993845, 1.01033, 0.986742, 0.988168, 0.989108, 1.01133, 1.01105, 1.02633, 1.02016, 1.03748, 1.02605, 1.0161, 1.03899, 1.0383, 1.0172, 0.983942, 1.04319, 1.0286, 1.01252, 1.0135, 0.998336, 0.991131, 0.976762, 0.953312, 0.963763, 0.959687, 0.942273, 0.95141, 0.951092, 0.952371, 0.965329, 0.967477, 0.995378, 1.03539, 1.03312, 1.04688, 1.00329, 1.02093, 1.01436, 1.01778, 1.01212, 1.00254, 0.965187, 0.952785, 0.957744, 0.920538, 0.950607, 0.944388, 0.926239, 0.927421, 0.940231, 0.938463, 0.97465, 0.984698, 0.978884, 0.989301, 0.997769, 0.985, 1.00083, 1.01285, 1.01447, 1.02008, 0.991287, 1.02544, 1.0514, 1.06366, 1.08636, 1.06731, 1.06507, 1.08317, 1.05923, 1.04837, 1.05112, 0.997841, 0.98753, 0.971453, 0.967859, 0.991987, 0.988605, 0.984798, 0.992368, 1.02127, 1.06358, 1.09175, 1.08547, 1.08402, 1.05902, 1.05955, 1.06546, 1.02706, 1.0328, 1.01032, 0.978304, 0.949752, 0.951835, 0.943525, 0.938703, 0.938772, 0.953688, 0.984314, 0.983985, 0.975321, 0.993577, 1.01111, 1.02695, 1.04806, 1.0619, 1.09503, 1.08811, 1.05794, 1.05543, 1.08532, 1.04844, 1.03247, 1.05145, 1.01785, 1.04499, 0.991778, 0.988738, 0.987084, 1.00197, 0.974446, 0.982485, 0.984993, 0.964248, 0.973938, 0.920659, 0.952303, 0.966988, 0.968592, 0.975617, 0.987402, 1.00249, 0.996239, 1.00441, 1.03894, 1.05695, 1.0665, 1.08484, 1.08404, 1.09679, 1.1166, 1.08998, 1.10184, 1.10013, 1.05799, 1.09643, 1.08097, 1.07026, 1.04927, 1.03848, 1.05031, 1.04379, 1.04303, 1.04467, 1.05383, 1.00186, 1.02793, 1.0049, 1.00069, 0.993158, 0.975358, 0.949443, 0.984619, 0.997719, 1.00239, 1.01585, 1.01324, 1.04411, 1.03417, 1.06383, 1.05041, 1.06692, 1.0397, 1.03041, 1.02828, 1.03999, 1.02774, 1.0039, 0.987429, 0.988654, 0.958023, 0.967165, 0.928951, 0.933378, 0.927522, 0.917824, 0.968871, 0.985996, 1.01709, 1.02025, 1.06641, 1.06245, 1.0856, 1.08365, 1.09728, 1.12299, 1.08293, 1.05756, 1.03635, 1.05463] \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "ed4a3f7d-d34a-4c99-a279-4c12f0d8e5b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'mean')"
      ]
     },
     "execution_count": 54,
     "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(x5[start:],pmean5[start:])\n",
    "plt.plot(x5[start:],vmean5[start:],alpha=0.5)\n",
    "plt.plot([0,1e5],[5,5])\n",
    "plt.title(\"mean\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32c4f3c1-2ac3-4d4b-a382-bcfd199e1d0b",
   "metadata": {},
   "source": [
    "# shifting normal distribution \n",
    "initial mean 5, constant std=1\n",
    "every 1000 frame increase mean by 0.5%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "09f2b231-e739-4473-a1ae-0b4907aebebd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1011, 1011, 1011, 1011, 1011, 100)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x6= [1, 100, 199, 298, 397, 496, 595, 694, 793, 892, 991, 1090, 1189, 1288, 1387, 1486, 1585, 1684, 1783, 1882, 1981, 2080, 2179, 2278, 2377, 2476, 2575, 2674, 2773, 2872, 2971, 3070, 3169, 3268, 3367, 3466, 3565, 3664, 3763, 3862, 3961, 4060, 4159, 4258, 4357, 4456, 4555, 4654, 4753, 4852, 4951, 5050, 5149, 5248, 5347, 5446, 5545, 5644, 5743, 5842, 5941, 6040, 6139, 6238, 6337, 6436, 6535, 6634, 6733, 6832, 6931, 7030, 7129, 7228, 7327, 7426, 7525, 7624, 7723, 7822, 7921, 8020, 8119, 8218, 8317, 8416, 8515, 8614, 8713, 8812, 8911, 9010, 9109, 9208, 9307, 9406, 9505, 9604, 9703, 9802, 9901, 10000, 10099, 10198, 10297, 10396, 10495, 10594, 10693, 10792, 10891, 10990, 11089, 11188, 11287, 11386, 11485, 11584, 11683, 11782, 11881, 11980, 12079, 12178, 12277, 12376, 12475, 12574, 12673, 12772, 12871, 12970, 13069, 13168, 13267, 13366, 13465, 13564, 13663, 13762, 13861, 13960, 14059, 14158, 14257, 14356, 14455, 14554, 14653, 14752, 14851, 14950, 15049, 15148, 15247, 15346, 15445, 15544, 15643, 15742, 15841, 15940, 16039, 16138, 16237, 16336, 16435, 16534, 16633, 16732, 16831, 16930, 17029, 17128, 17227, 17326, 17425, 17524, 17623, 17722, 17821, 17920, 18019, 18118, 18217, 18316, 18415, 18514, 18613, 18712, 18811, 18910, 19009, 19108, 19207, 19306, 19405, 19504, 19603, 19702, 19801, 19900, 19999, 20098, 20197, 20296, 20395, 20494, 20593, 20692, 20791, 20890, 20989, 21088, 21187, 21286, 21385, 21484, 21583, 21682, 21781, 21880, 21979, 22078, 22177, 22276, 22375, 22474, 22573, 22672, 22771, 22870, 22969, 23068, 23167, 23266, 23365, 23464, 23563, 23662, 23761, 23860, 23959, 24058, 24157, 24256, 24355, 24454, 24553, 24652, 24751, 24850, 24949, 25048, 25147, 25246, 25345, 25444, 25543, 25642, 25741, 25840, 25939, 26038, 26137, 26236, 26335, 26434, 26533, 26632, 26731, 26830, 26929, 27028, 27127, 27226, 27325, 27424, 27523, 27622, 27721, 27820, 27919, 28018, 28117, 28216, 28315, 28414, 28513, 28612, 28711, 28810, 28909, 29008, 29107, 29206, 29305, 29404, 29503, 29602, 29701, 29800, 29899, 29998, 30097, 30196, 30295, 30394, 30493, 30592, 30691, 30790, 30889, 30988, 31087, 31186, 31285, 31384, 31483, 31582, 31681, 31780, 31879, 31978, 32077, 32176, 32275, 32374, 32473, 32572, 32671, 32770, 32869, 32968, 33067, 33166, 33265, 33364, 33463, 33562, 33661, 33760, 33859, 33958, 34057, 34156, 34255, 34354, 34453, 34552, 34651, 34750, 34849, 34948, 35047, 35146, 35245, 35344, 35443, 35542, 35641, 35740, 35839, 35938, 36037, 36136, 36235, 36334, 36433, 36532, 36631, 36730, 36829, 36928, 37027, 37126, 37225, 37324, 37423, 37522, 37621, 37720, 37819, 37918, 38017, 38116, 38215, 38314, 38413, 38512, 38611, 38710, 38809, 38908, 39007, 39106, 39205, 39304, 39403, 39502, 39601, 39700, 39799, 39898, 39997, 40096, 40195, 40294, 40393, 40492, 40591, 40690, 40789, 40888, 40987, 41086, 41185, 41284, 41383, 41482, 41581, 41680, 41779, 41878, 41977, 42076, 42175, 42274, 42373, 42472, 42571, 42670, 42769, 42868, 42967, 43066, 43165, 43264, 43363, 43462, 43561, 43660, 43759, 43858, 43957, 44056, 44155, 44254, 44353, 44452, 44551, 44650, 44749, 44848, 44947, 45046, 45145, 45244, 45343, 45442, 45541, 45640, 45739, 45838, 45937, 46036, 46135, 46234, 46333, 46432, 46531, 46630, 46729, 46828, 46927, 47026, 47125, 47224, 47323, 47422, 47521, 47620, 47719, 47818, 47917, 48016, 48115, 48214, 48313, 48412, 48511, 48610, 48709, 48808, 48907, 49006, 49105, 49204, 49303, 49402, 49501, 49600, 49699, 49798, 49897, 49996, 50095, 50194, 50293, 50392, 50491, 50590, 50689, 50788, 50887, 50986, 51085, 51184, 51283, 51382, 51481, 51580, 51679, 51778, 51877, 51976, 52075, 52174, 52273, 52372, 52471, 52570, 52669, 52768, 52867, 52966, 53065, 53164, 53263, 53362, 53461, 53560, 53659, 53758, 53857, 53956, 54055, 54154, 54253, 54352, 54451, 54550, 54649, 54748, 54847, 54946, 55045, 55144, 55243, 55342, 55441, 55540, 55639, 55738, 55837, 55936, 56035, 56134, 56233, 56332, 56431, 56530, 56629, 56728, 56827, 56926, 57025, 57124, 57223, 57322, 57421, 57520, 57619, 57718, 57817, 57916, 58015, 58114, 58213, 58312, 58411, 58510, 58609, 58708, 58807, 58906, 59005, 59104, 59203, 59302, 59401, 59500, 59599, 59698, 59797, 59896, 59995, 60094, 60193, 60292, 60391, 60490, 60589, 60688, 60787, 60886, 60985, 61084, 61183, 61282, 61381, 61480, 61579, 61678, 61777, 61876, 61975, 62074, 62173, 62272, 62371, 62470, 62569, 62668, 62767, 62866, 62965, 63064, 63163, 63262, 63361, 63460, 63559, 63658, 63757, 63856, 63955, 64054, 64153, 64252, 64351, 64450, 64549, 64648, 64747, 64846, 64945, 65044, 65143, 65242, 65341, 65440, 65539, 65638, 65737, 65836, 65935, 66034, 66133, 66232, 66331, 66430, 66529, 66628, 66727, 66826, 66925, 67024, 67123, 67222, 67321, 67420, 67519, 67618, 67717, 67816, 67915, 68014, 68113, 68212, 68311, 68410, 68509, 68608, 68707, 68806, 68905, 69004, 69103, 69202, 69301, 69400, 69499, 69598, 69697, 69796, 69895, 69994, 70093, 70192, 70291, 70390, 70489, 70588, 70687, 70786, 70885, 70984, 71083, 71182, 71281, 71380, 71479, 71578, 71677, 71776, 71875, 71974, 72073, 72172, 72271, 72370, 72469, 72568, 72667, 72766, 72865, 72964, 73063, 73162, 73261, 73360, 73459, 73558, 73657, 73756, 73855, 73954, 74053, 74152, 74251, 74350, 74449, 74548, 74647, 74746, 74845, 74944, 75043, 75142, 75241, 75340, 75439, 75538, 75637, 75736, 75835, 75934, 76033, 76132, 76231, 76330, 76429, 76528, 76627, 76726, 76825, 76924, 77023, 77122, 77221, 77320, 77419, 77518, 77617, 77716, 77815, 77914, 78013, 78112, 78211, 78310, 78409, 78508, 78607, 78706, 78805, 78904, 79003, 79102, 79201, 79300, 79399, 79498, 79597, 79696, 79795, 79894, 79993, 80092, 80191, 80290, 80389, 80488, 80587, 80686, 80785, 80884, 80983, 81082, 81181, 81280, 81379, 81478, 81577, 81676, 81775, 81874, 81973, 82072, 82171, 82270, 82369, 82468, 82567, 82666, 82765, 82864, 82963, 83062, 83161, 83260, 83359, 83458, 83557, 83656, 83755, 83854, 83953, 84052, 84151, 84250, 84349, 84448, 84547, 84646, 84745, 84844, 84943, 85042, 85141, 85240, 85339, 85438, 85537, 85636, 85735, 85834, 85933, 86032, 86131, 86230, 86329, 86428, 86527, 86626, 86725, 86824, 86923, 87022, 87121, 87220, 87319, 87418, 87517, 87616, 87715, 87814, 87913, 88012, 88111, 88210, 88309, 88408, 88507, 88606, 88705, 88804, 88903, 89002, 89101, 89200, 89299, 89398, 89497, 89596, 89695, 89794, 89893, 89992, 90091, 90190, 90289, 90388, 90487, 90586, 90685, 90784, 90883, 90982, 91081, 91180, 91279, 91378, 91477, 91576, 91675, 91774, 91873, 91972, 92071, 92170, 92269, 92368, 92467, 92566, 92665, 92764, 92863, 92962, 93061, 93160, 93259, 93358, 93457, 93556, 93655, 93754, 93853, 93952, 94051, 94150, 94249, 94348, 94447, 94546, 94645, 94744, 94843, 94942, 95041, 95140, 95239, 95338, 95437, 95536, 95635, 95734, 95833, 95932, 96031, 96130, 96229, 96328, 96427, 96526, 96625, 96724, 96823, 96922, 97021, 97120, 97219, 97318, 97417, 97516, 97615, 97714, 97813, 97912, 98011, 98110, 98209, 98308, 98407, 98506, 98605, 98704, 98803, 98902, 99001, 99100, 99199, 99298, 99397, 99496, 99595, 99694, 99793, 99892, 99991] \n",
    "pmean6= [4.98352, 4.9902, 4.9797, 5.00088, 5.00087, 4.99876, 5.01381, 5.03537, 5.01454, 5.02936, 5.02067, 5.02765, 5.0219, 5.01656, 5.01964, 5.01517, 5.00602, 5.00416, 4.99577, 5.00273, 5.00571, 4.9908, 4.98538, 4.99697, 4.97728, 4.9661, 4.95983, 4.94935, 4.96046, 4.95947, 4.96693, 4.98287, 4.99176, 4.99673, 4.99679, 5.01087, 5.01775, 5.03704, 5.04765, 5.04867, 5.05734, 5.05942, 5.06223, 5.0786, 5.07542, 5.08609, 5.10035, 5.09316, 5.11131, 5.10184, 5.08394, 5.07077, 5.06575, 5.07477, 5.0719, 5.07008, 5.07267, 5.07842, 5.10932, 5.10102, 5.08575, 5.09864, 5.09508, 5.10614, 5.11007, 5.10802, 5.12609, 5.11984, 5.10235, 5.1124, 5.10294, 5.11848, 5.13578, 5.13898, 5.13659, 5.14351, 5.15851, 5.16419, 5.16208, 5.15712, 5.15787, 5.16894, 5.18215, 5.17482, 5.17323, 5.17311, 5.17499, 5.17792, 5.15693, 5.17729, 5.18187, 5.18174, 5.17612, 5.18099, 5.18802, 5.18648, 5.18203, 5.18346, 5.18758, 5.19049, 5.19588, 5.18068, 5.18891, 5.18994, 5.20027, 5.20614, 5.20635, 5.2062, 5.20132, 5.2049, 5.21577, 5.22325, 5.23158, 5.23052, 5.2265, 5.21933, 5.22547, 5.22948, 5.2301, 5.23832, 5.23696, 5.23493, 5.24653, 5.25806, 5.26988, 5.26356, 5.27404, 5.28333, 5.2925, 5.28562, 5.27452, 5.28473, 5.30771, 5.3286, 5.33015, 5.31673, 5.31852, 5.319, 5.30622, 5.31652, 5.32446, 5.302, 5.29416, 5.30403, 5.29948, 5.30208, 5.30751, 5.31072, 5.33824, 5.34612, 5.34972, 5.33556, 5.32507, 5.32686, 5.32862, 5.32837, 5.33559, 5.33981, 5.34333, 5.34975, 5.3656, 5.35943, 5.35411, 5.36637, 5.3835, 5.39569, 5.412, 5.41174, 5.41311, 5.40954, 5.41858, 5.41385, 5.40593, 5.39718, 5.3997, 5.39786, 5.40133, 5.41679, 5.41985, 5.43204, 5.42748, 5.43222, 5.41279, 5.43126, 5.44957, 5.44055, 5.42583, 5.43412, 5.41489, 5.44138, 5.43065, 5.43972, 5.43539, 5.4472, 5.44156, 5.4561, 5.46301, 5.46658, 5.47391, 5.46446, 5.46897, 5.48885, 5.49936, 5.48211, 5.4709, 5.47037, 5.48196, 5.48298, 5.48338, 5.48742, 5.4966, 5.49348, 5.49217, 5.46799, 5.4828, 5.49303, 5.48639, 5.50242, 5.52384, 5.52847, 5.52525, 5.52455, 5.5305, 5.52821, 5.55473, 5.55464, 5.55132, 5.5589, 5.56645, 5.56529, 5.55116, 5.54227, 5.54925, 5.56131, 5.57248, 5.57341, 5.58646, 5.57775, 5.57656, 5.58166, 5.57608, 5.57255, 5.58642, 5.5909, 5.60354, 5.60751, 5.60384, 5.60351, 5.59207, 5.59263, 5.59031, 5.59605, 5.59608, 5.59552, 5.58847, 5.5844, 5.58748, 5.59754, 5.6145, 5.61699, 5.61454, 5.63427, 5.61074, 5.61514, 5.62878, 5.62293, 5.61995, 5.63605, 5.62464, 5.62324, 5.6207, 5.61316, 5.62874, 5.6252, 5.63201, 5.65285, 5.64913, 5.64844, 5.65667, 5.65225, 5.64855, 5.66328, 5.67084, 5.68862, 5.70235, 5.69286, 5.70404, 5.69742, 5.68885, 5.69576, 5.69866, 5.71031, 5.71075, 5.72275, 5.7147, 5.73359, 5.72819, 5.73701, 5.74499, 5.73922, 5.73634, 5.72397, 5.74354, 5.74055, 5.73244, 5.72879, 5.73646, 5.72802, 5.72953, 5.72872, 5.74082, 5.74124, 5.7429, 5.75399, 5.76114, 5.7739, 5.79453, 5.8014, 5.8069, 5.79477, 5.80873, 5.81233, 5.80138, 5.77885, 5.77812, 5.78656, 5.79767, 5.81001, 5.82252, 5.83327, 5.83394, 5.82546, 5.82532, 5.82882, 5.82803, 5.83814, 5.83447, 5.84311, 5.83934, 5.83713, 5.84197, 5.83907, 5.82555, 5.83626, 5.83504, 5.83176, 5.82645, 5.83386, 5.83772, 5.85776, 5.85417, 5.86443, 5.8707, 5.88482, 5.88135, 5.88796, 5.88883, 5.89788, 5.90028, 5.90486, 5.90153, 5.89804, 5.91097, 5.91565, 5.9306, 5.92045, 5.91816, 5.91994, 5.93848, 5.91986, 5.93203, 5.94123, 5.96361, 5.9704, 5.97054, 5.96112, 5.96435, 5.97935, 6.00438, 6.01423, 6.01171, 6.02494, 6.03445, 6.03833, 6.02884, 6.04436, 6.03783, 6.03897, 6.04043, 6.04836, 6.04424, 6.0565, 6.04052, 6.05748, 6.06582, 6.06497, 6.07595, 6.10448, 6.10066, 6.09649, 6.0927, 6.09469, 6.09589, 6.09011, 6.08589, 6.08721, 6.08943, 6.09377, 6.10586, 6.09864, 6.10266, 6.1057, 6.10426, 6.09256, 6.10323, 6.12445, 6.12223, 6.13052, 6.14111, 6.14541, 6.1442, 6.14182, 6.13347, 6.15077, 6.14917, 6.16715, 6.17172, 6.15917, 6.15854, 6.17114, 6.15088, 6.15764, 6.15958, 6.15508, 6.1454, 6.15746, 6.15084, 6.14527, 6.15099, 6.15308, 6.1487, 6.15815, 6.17136, 6.18213, 6.17665, 6.18323, 6.17308, 6.16419, 6.16391, 6.17376, 6.17011, 6.20369, 6.19933, 6.21638, 6.20447, 6.21606, 6.22541, 6.23782, 6.24095, 6.24474, 6.26897, 6.25354, 6.25151, 6.23194, 6.23113, 6.23507, 6.24075, 6.2457, 6.23729, 6.23899, 6.24607, 6.25711, 6.27148, 6.27285, 6.26831, 6.28018, 6.28314, 6.26209, 6.2486, 6.24796, 6.24871, 6.25227, 6.24906, 6.26196, 6.26639, 6.26313, 6.25866, 6.24991, 6.25353, 6.26889, 6.26829, 6.28369, 6.29006, 6.30339, 6.30816, 6.32196, 6.31536, 6.32817, 6.33168, 6.34721, 6.37106, 6.37229, 6.38948, 6.3901, 6.39063, 6.38994, 6.39091, 6.3917, 6.39937, 6.40157, 6.40207, 6.40388, 6.40875, 6.41313, 6.39717, 6.404, 6.4177, 6.4408, 6.42533, 6.3942, 6.39757, 6.39093, 6.38228, 6.38457, 6.40278, 6.41847, 6.42882, 6.44062, 6.4406, 6.43419, 6.44203, 6.45662, 6.45401, 6.4701, 6.46898, 6.47637, 6.48251, 6.48191, 6.48982, 6.49965, 6.50022, 6.50248, 6.50185, 6.50745, 6.52453, 6.52955, 6.52362, 6.50972, 6.52664, 6.52075, 6.50506, 6.50341, 6.50828, 6.51306, 6.50969, 6.52881, 6.5242, 6.52562, 6.54979, 6.5436, 6.54847, 6.53192, 6.55193, 6.56234, 6.56939, 6.58215, 6.58484, 6.59599, 6.6003, 6.58619, 6.57557, 6.58212, 6.57522, 6.58584, 6.58402, 6.56424, 6.57195, 6.59052, 6.59456, 6.59947, 6.63033, 6.63735, 6.63026, 6.64709, 6.64685, 6.65018, 6.65246, 6.66658, 6.66851, 6.66249, 6.65703, 6.6812, 6.67376, 6.67711, 6.68196, 6.679, 6.66349, 6.66899, 6.67969, 6.67835, 6.67724, 6.69839, 6.70034, 6.6947, 6.67613, 6.68017, 6.69176, 6.69769, 6.69104, 6.68701, 6.70373, 6.70249, 6.71604, 6.7246, 6.73776, 6.73174, 6.74456, 6.74717, 6.7472, 6.76026, 6.76475, 6.75983, 6.76954, 6.77788, 6.78789, 6.78946, 6.78625, 6.77797, 6.78538, 6.78059, 6.79653, 6.80127, 6.80924, 6.79881, 6.7896, 6.80507, 6.80837, 6.79686, 6.80741, 6.81504, 6.80853, 6.80495, 6.796, 6.82253, 6.82179, 6.81066, 6.80654, 6.79842, 6.79476, 6.80462, 6.81757, 6.83097, 6.82523, 6.82978, 6.84349, 6.83919, 6.84932, 6.85557, 6.87968, 6.86903, 6.86796, 6.87107, 6.87437, 6.87987, 6.88946, 6.89543, 6.89095, 6.88918, 6.89983, 6.90642, 6.89834, 6.91462, 6.92672, 6.93177, 6.94391, 6.93369, 6.92269, 6.9086, 6.91446, 6.92652, 6.9335, 6.93381, 6.94149, 6.94228, 6.94749, 6.95727, 6.95857, 6.97959, 6.96893, 6.97337, 6.97386, 6.97476, 6.97941, 6.98949, 6.99387, 6.99909, 7.00323, 7.00787, 7.00273, 7.02262, 7.03163, 7.05874, 7.05953, 7.04349, 7.03913, 7.0283, 7.03001, 7.02685, 7.00594, 7.00834, 7.02995, 7.03476, 7.02355, 7.04091, 7.04263, 7.03532, 7.03225, 7.029, 7.03187, 7.03474, 7.04851, 7.05095, 7.05675, 7.05509, 7.06521, 7.08752, 7.0795, 7.08469, 7.09929, 7.09551, 7.09119, 7.09145, 7.1005, 7.1025, 7.12754, 7.13186, 7.12745, 7.11964, 7.13341, 7.14089, 7.13702, 7.13909, 7.13335, 7.15176, 7.16105, 7.16344, 7.17125, 7.17279, 7.16229, 7.18617, 7.18844, 7.18371, 7.18818, 7.17526, 7.16795, 7.15701, 7.16527, 7.16421, 7.17085, 7.18318, 7.18652, 7.19282, 7.20297, 7.23363, 7.23449, 7.23042, 7.23929, 7.24366, 7.25568, 7.25419, 7.26668, 7.27923, 7.28332, 7.27752, 7.27692, 7.27889, 7.2859, 7.29226, 7.30318, 7.31248, 7.31787, 7.30848, 7.30349, 7.30852, 7.31841, 7.31144, 7.29805, 7.29956, 7.30706, 7.32494, 7.31569, 7.33003, 7.31897, 7.31708, 7.31168, 7.32854, 7.34146, 7.35266, 7.34066, 7.34028, 7.35124, 7.366, 7.37101, 7.37311, 7.37115, 7.37236, 7.38806, 7.40383, 7.40741, 7.42613, 7.41059, 7.43433, 7.43717, 7.45156, 7.45904, 7.46417, 7.46664, 7.47366, 7.46894, 7.46426, 7.45809, 7.46582, 7.46798, 7.46391, 7.4555, 7.45147, 7.46677, 7.4691, 7.46354, 7.47835, 7.46592, 7.46808, 7.48734, 7.47936, 7.4589, 7.47668, 7.48166, 7.49283, 7.5048, 7.50043, 7.51039, 7.50248, 7.50168, 7.50612, 7.507, 7.49661, 7.50575, 7.52367, 7.53709, 7.54969, 7.56487, 7.56247, 7.56105, 7.56236, 7.57859, 7.59265, 7.58224, 7.57172, 7.57034, 7.56102, 7.56195, 7.574, 7.57326, 7.55535, 7.56909, 7.59026, 7.59091, 7.5897, 7.59765, 7.6012, 7.60401, 7.60826, 7.59718, 7.6162, 7.62235, 7.63144, 7.63359, 7.64643, 7.64268, 7.65535, 7.66177, 7.6591, 7.67342, 7.67252, 7.67083, 7.66307, 7.65429, 7.6612, 7.67424, 7.67212, 7.67771, 7.68467, 7.69022, 7.70973, 7.70505, 7.71558, 7.70877, 7.69796, 7.70574, 7.69916, 7.70121, 7.69731, 7.69955, 7.70415, 7.71018, 7.73397, 7.72822, 7.73211, 7.73681, 7.73467, 7.74187, 7.75272, 7.75945, 7.76866, 7.77263, 7.79402, 7.7846, 7.77718, 7.76442, 7.76663, 7.76499, 7.77594, 7.77472, 7.77312, 7.78585, 7.76996, 7.79044, 7.80232, 7.81954, 7.81901, 7.81248, 7.82262, 7.8357, 7.83282, 7.84426, 7.85329, 7.85234, 7.87297, 7.88017, 7.88189, 7.89924, 7.90507, 7.89149, 7.88481, 7.88052, 7.88808, 7.90803, 7.91487, 7.92794, 7.93378, 7.94381, 7.94985, 7.95425, 7.96409, 7.96658, 7.96927, 7.98405, 8.00373, 7.99583, 7.9841, 7.98866, 8.00647, 8.00356, 8.01419, 8.01781, 8.03066, 8.04149, 8.02723, 8.04837, 8.04834, 8.05057, 8.03781, 8.01766, 8.02822, 8.02008, 8.01585, 8.03046, 8.0325, 8.05156, 8.05559, 8.0483, 8.05877, 8.05199, 8.05208, 8.05447, 8.05817, 8.05707, 8.07125, 8.05955, 8.06389, 8.06519, 8.07959, 8.08209, 8.10062, 8.09928, 8.09926, 8.11054, 8.10981, 8.12112, 8.12833, 8.12346, 8.11802, 8.13232, 8.14336, 8.14031, 8.13087, 8.13214, 8.14396, 8.15943, 8.15988, 8.16696] \n",
    "pvar6= [1.05723, 1.04853, 1.03486, 1.0233, 1.02862, 1.02223, 1.03274, 1.03942, 1.04191, 1.04649, 1.05667, 1.03706, 1.03253, 1.02754, 1.0154, 1.01538, 1.0014, 0.99264, 0.989365, 1.01044, 1.01703, 1.00853, 1.00739, 1.0159, 1.0095, 0.997718, 1.00895, 1.01074, 1.01082, 0.999373, 0.98927, 0.982758, 0.981346, 0.980891, 1.005, 1.03392, 1.02782, 0.995798, 0.980356, 0.981321, 0.98038, 0.966093, 0.964539, 0.957354, 0.961301, 0.95794, 0.962466, 0.946549, 0.968091, 0.974871, 0.96749, 0.985336, 1.00298, 1.00326, 0.993327, 0.988078, 0.991315, 0.962793, 0.972031, 0.983427, 0.992058, 0.98254, 0.975208, 0.976938, 0.978394, 0.992437, 0.979247, 0.988935, 0.973321, 0.962143, 0.974357, 0.992581, 0.989022, 0.978496, 0.971107, 0.992946, 0.993868, 1.00581, 0.984696, 0.97866, 1.00154, 1.0011, 1.01946, 1.00349, 0.995664, 1.01519, 1.00588, 0.994505, 0.969565, 0.966681, 0.993229, 1.00271, 0.980711, 0.976417, 0.993643, 0.993797, 0.997619, 0.997825, 0.986578, 0.990044, 0.995517, 0.992043, 0.981402, 0.975034, 0.974223, 0.95783, 0.933953, 0.95944, 0.957057, 0.934694, 0.930076, 0.947635, 0.947722, 0.964926, 0.956805, 0.953168, 0.956262, 0.977113, 0.982296, 0.992561, 0.973221, 0.962783, 0.968547, 0.967129, 0.961922, 0.954732, 0.957091, 0.942482, 0.958022, 0.964989, 0.998351, 0.990804, 0.981369, 0.983423, 0.960777, 0.951405, 0.960713, 0.949722, 0.953868, 0.963712, 0.967304, 0.975471, 0.993047, 0.99756, 0.988191, 0.985643, 0.975874, 0.983423, 1.00926, 1.02048, 1.03412, 1.03981, 1.04944, 1.04033, 1.04382, 1.02646, 1.03216, 1.02564, 1.01527, 1.00425, 1.00675, 1.00218, 0.990353, 0.9943, 1.0004, 0.999902, 1.01224, 1.01299, 1.00303, 1.02682, 1.02043, 1.03941, 1.02932, 1.02316, 1.03422, 1.03874, 1.02986, 1.03305, 1.06042, 1.0493, 1.0353, 1.03132, 1.026, 1.0358, 1.04642, 1.05168, 1.05352, 1.02333, 1.05142, 1.04423, 1.03717, 1.03376, 1.05505, 1.03987, 1.07009, 1.05027, 1.05631, 1.0438, 1.02136, 1.01415, 1.01109, 1.00176, 0.995414, 1.00052, 0.985409, 1.00515, 1.02757, 1.0165, 1.0171, 1.01533, 1.01014, 0.983117, 0.984231, 0.971424, 0.983714, 0.972957, 0.968765, 0.968664, 0.990481, 0.985167, 0.977451, 0.947625, 0.941943, 0.989592, 0.976803, 0.988212, 0.988808, 0.9854, 0.970874, 0.966953, 0.965068, 0.977077, 0.977045, 1.0141, 0.998261, 1.0072, 0.999878, 1.0063, 1.02095, 1.03746, 1.03641, 1.03482, 1.02962, 1.03211, 1.04339, 1.02127, 1.02567, 1.02416, 1.02598, 1.01875, 1.02813, 1.03178, 1.01826, 1.02235, 1.02326, 1.00308, 0.998119, 0.973395, 0.994884, 0.994191, 0.994973, 0.990249, 1.01607, 1.04981, 1.08489, 1.08261, 1.06508, 1.07903, 1.08544, 1.06489, 1.06203, 1.0699, 1.084, 1.09247, 1.07226, 1.05663, 1.04105, 1.02074, 1.02184, 1.02068, 1.01645, 1.01211, 0.985341, 0.997007, 0.997373, 0.99893, 0.996049, 1.01671, 1.02017, 0.995312, 1.01008, 1.05065, 1.02657, 1.01748, 1.01736, 1.01406, 1.01793, 1.01241, 1.02623, 1.0112, 0.987631, 0.978235, 0.986828, 0.993412, 1.02015, 1.01501, 1.0128, 1.01205, 1.03244, 1.03238, 1.02984, 1.03711, 0.998568, 1.00849, 1.03636, 1.0433, 1.03374, 1.02326, 1.02132, 1.02216, 1.04466, 1.03357, 1.049, 1.0345, 1.03371, 1.01686, 1.03219, 1.01674, 1.02487, 1.01533, 1.00331, 1.00852, 1.01349, 0.999671, 1.025, 1.01286, 0.9963, 0.992451, 0.993765, 0.999456, 0.98386, 0.995315, 0.994864, 0.995817, 0.990824, 1.02233, 1.02927, 1.04635, 1.05002, 1.03936, 1.02867, 1.03546, 1.01725, 1.0216, 1.04224, 1.04153, 1.00993, 1.00903, 0.989198, 0.969124, 0.956409, 0.953609, 0.966213, 0.98417, 0.997543, 0.978295, 0.967809, 0.960877, 0.971527, 0.989963, 0.990911, 0.992323, 0.980618, 0.976015, 0.97383, 1.01243, 1.02861, 1.04976, 1.06557, 1.08533, 1.08512, 1.07361, 1.06116, 1.06491, 1.06408, 1.05019, 1.03744, 1.04019, 1.03137, 1.01206, 0.982563, 0.988021, 0.987097, 0.978223, 0.993486, 0.985372, 0.953941, 0.965423, 0.973389, 0.972282, 0.947856, 0.938557, 0.934137, 0.94411, 0.932686, 0.942423, 0.943372, 0.958252, 0.964676, 0.958134, 0.959992, 0.968728, 0.981702, 0.986338, 0.980492, 0.988462, 1.01851, 0.997781, 0.996733, 1.00277, 0.999518, 0.993139, 0.990897, 0.980347, 0.969902, 0.972976, 0.970259, 0.989706, 0.988592, 1.00061, 0.996129, 1.00121, 0.992782, 0.987075, 0.974207, 0.983681, 0.986322, 0.975544, 1.03231, 1.02156, 1.01406, 1.00793, 1.02263, 1.01975, 1.02472, 1.02105, 0.99013, 0.995019, 0.98371, 0.989822, 0.984438, 0.989501, 0.985126, 0.99629, 0.984822, 0.976555, 0.984349, 0.970953, 0.969574, 0.950657, 0.95399, 0.972567, 0.980822, 0.9671, 0.965333, 0.972837, 0.95732, 0.967632, 0.985366, 0.992477, 0.984604, 0.971585, 0.967651, 0.964981, 0.952658, 0.95228, 0.933748, 0.953886, 0.976056, 0.976312, 0.983492, 0.983594, 0.997525, 1.00213, 0.987809, 1.0105, 1.0069, 1.00072, 0.998674, 1.00442, 0.98404, 0.977547, 0.985802, 0.985938, 0.983641, 0.984304, 0.975625, 0.994308, 0.987985, 1.00632, 1.00082, 0.994664, 1.00212, 0.995954, 0.988864, 0.977954, 0.988108, 0.973527, 0.969871, 0.973804, 0.980514, 0.99462, 0.987264, 0.980402, 0.969217, 0.989444, 0.985163, 0.999363, 0.989737, 1.00349, 1.00561, 0.99026, 0.987317, 0.980436, 0.995754, 1.0154, 1.01852, 1.03676, 1.02308, 1.0128, 1.00811, 1.00353, 1.01061, 1.02689, 1.02748, 1.03921, 1.04052, 1.04498, 1.03389, 1.04453, 1.02814, 1.05992, 1.06233, 1.06421, 1.06107, 1.062, 1.03113, 1.04642, 1.03169, 1.02195, 1.0499, 1.04337, 1.01679, 1.02246, 1.00688, 0.980657, 0.959267, 0.961379, 0.986875, 0.999782, 0.984271, 0.986879, 0.978558, 0.992538, 1.03179, 1.03412, 1.03517, 1.01817, 1.01375, 1.01082, 0.989258, 0.983952, 1.01154, 1.01091, 0.989661, 0.996639, 0.984893, 0.965901, 0.974133, 0.9618, 0.985053, 0.986108, 0.987093, 0.976453, 0.957955, 0.950441, 0.937663, 0.930469, 0.94147, 0.946914, 0.945801, 0.950361, 0.966979, 0.98395, 0.979709, 0.996091, 1.01073, 0.997721, 0.988176, 0.985152, 0.977733, 1.00091, 0.994675, 0.989396, 1.02804, 1.00007, 1.01125, 0.997977, 0.992902, 1.01212, 1.00091, 0.989017, 1.01098, 1.00714, 1.00014, 1.02742, 1.01864, 1.02091, 1.02545, 1.0028, 1.00903, 1.00279, 0.997589, 1.00946, 1.01374, 1.00345, 1.01847, 1.03403, 1.01621, 1.03404, 1.01245, 1.01339, 1.02617, 1.02657, 1.01062, 1.01205, 0.996871, 1.01509, 1.0362, 1.08786, 1.06412, 1.04499, 1.07034, 1.08575, 1.09898, 1.09904, 1.1006, 1.08614, 1.0754, 1.06579, 1.04619, 1.03777, 1.046, 1.04658, 1.04164, 1.03101, 1.04078, 1.02852, 1.04599, 1.02793, 1.01843, 1.01987, 1.02909, 1.04544, 1.02533, 1.00568, 1.0155, 1.00559, 1.00935, 0.986344, 0.977219, 0.965975, 0.954345, 0.960609, 0.961433, 0.937259, 0.940591, 0.983084, 0.986834, 0.984725, 0.989152, 0.980341, 0.98661, 0.967347, 0.974983, 0.979048, 0.964811, 0.957687, 0.952039, 0.935357, 0.947653, 0.958646, 0.972532, 0.981962, 0.977355, 0.995622, 0.988869, 0.975352, 0.977578, 0.989054, 1.00819, 0.998191, 0.97475, 0.981311, 0.996423, 0.975685, 0.995384, 1.02146, 1.02109, 1.02178, 1.01915, 1.05362, 1.03844, 1.02895, 1.022, 1.03829, 1.03244, 1.02107, 1.02312, 1.02081, 1.02327, 1.02987, 1.03796, 1.04025, 1.03265, 1.06413, 1.05, 1.03218, 1.01248, 0.994484, 0.99247, 0.975368, 0.972771, 0.962882, 0.955827, 0.958326, 0.960839, 0.981944, 0.996405, 0.984604, 0.97679, 0.968607, 1.00042, 0.978929, 0.989977, 0.998408, 0.991917, 1.00539, 1.02528, 1.01001, 1.01345, 0.989016, 1.00666, 1.00753, 0.99488, 0.990908, 1.01755, 1.01455, 1.01404, 1.00979, 1.02195, 1.01961, 1.00536, 1.00949, 1.01403, 1.01867, 1.01881, 1.00517, 1.01167, 1.01378, 1.00164, 1.00386, 0.987733, 0.977792, 0.9977, 1.00742, 1.00579, 1.01947, 1.02049, 1.01533, 1.01053, 1.02275, 1.02969, 1.02657, 1.00053, 0.994828, 1.00932, 1.01413, 1.01171, 1.01006, 1.00178, 1.0019, 1.01737, 1.02057, 1.0305, 1.01565, 0.991899, 0.991291, 0.974869, 0.97396, 0.984453, 1.01092, 1.01142, 1.00897, 1.01432, 0.991631, 0.995976, 0.991103, 0.990693, 0.999994, 1.01694, 1.01036, 1.00493, 0.998785, 0.990797, 0.99521, 0.974775, 0.970142, 0.966228, 0.96349, 0.978445, 0.998247, 1.0003, 1.01345, 1.0397, 1.03346, 1.02531, 1.03802, 1.05573, 1.06082, 1.04089, 1.04514, 1.06473, 1.04471, 1.03721, 1.02226, 1.03243, 1.02509, 1.0409, 1.02523, 1.02249, 1.02333, 0.993515, 0.983276, 0.978745, 1.00309, 1.0064, 1.00691, 0.997556, 1.03494, 1.02149, 1.02717, 1.04123, 1.03247, 1.04492, 1.01027, 0.993781, 1.00976, 1.01843, 1.03073, 1.03766, 1.06358, 1.04429, 1.04079, 1.0341, 1.02019, 1.00797, 0.997082, 1.01345, 1.00709, 1.00829, 1.00595, 1.00141, 1.01346, 1.00791, 1.02562, 1.01545, 0.997304, 0.989762, 0.997157, 0.994554, 1.00973, 0.99908, 1.01127, 0.991964, 0.98067, 0.986421, 0.997389, 1.0062, 0.999609, 1.00137, 1.00056, 1.00228, 0.99128, 0.995915, 0.995114, 1.0085, 1.01595, 0.990051, 0.958122, 0.952967, 0.949963, 0.933558, 0.941475, 0.970969, 0.978303, 0.965738, 0.965922, 0.955664, 0.988139, 1.01519, 1.01889, 1.02204, 1.03539, 1.02463, 1.0135, 1.02458, 1.03119, 1.01927, 1.02138, 1.02751, 1.01361, 1.02019, 1.0222, 1.02366, 1.00264, 1.00076, 0.985656, 1.00145, 1.00287, 0.997971, 1.00591, 1.00507, 1.01253, 1.0063, 1.01128, 0.997379, 0.980745, 0.99167, 0.991438, 0.979195, 0.997155, 1.00203, 1.01051, 0.991628, 0.979926, 1.00412, 0.976922, 0.976675, 0.978644, 0.991468, 0.997159, 1.01052, 1.03265, 1.03747, 1.05229, 1.04776, 1.05137, 1.04865, 1.06221, 1.07302, 1.06483, 1.05743, 1.0425, 1.04758, 1.02136, 1.0152, 1.00547, 1.00367, 1.01459, 1.00123, 1.01969, 1.03814, 1.00891, 1.01432, 1.00381, 1.00923, 1.00357, 1.00624, 1.04211, 1.04892, 1.03418, 1.02969, 1.04311, 1.04701, 1.0326, 1.04375, 1.03319, 1.05881, 1.04526, 1.03296, 1.03197, 1.02483, 1.00645, 0.996931, 1.00072, 0.979176, 1.02617, 1.00645, 0.996598, 0.978944, 0.980139, 0.987425, 0.973806, 0.97095, 0.965087, 0.9864, 0.976919, 0.964874, 0.977599, 1.00352] \n",
    "vmean6= [4.98262, 4.97414, 4.96073, 4.98594, 4.98824, 4.99366, 5.01788, 5.03612, 5.02544, 5.0561, 5.0405, 5.04235, 5.05523, 5.03827, 5.03745, 5.03975, 5.01231, 4.99648, 4.99013, 4.98641, 4.99923, 4.97087, 4.971, 4.98251, 4.95322, 4.94707, 4.94498, 4.93177, 4.94708, 4.93692, 4.93427, 4.96037, 4.97403, 4.9719, 4.98569, 5.01743, 5.0362, 5.07202, 5.08943, 5.09235, 5.10975, 5.10079, 5.10709, 5.1233, 5.12201, 5.12605, 5.14825, 5.12077, 5.12994, 5.13151, 5.10942, 5.09805, 5.08678, 5.08584, 5.08232, 5.06878, 5.06048, 5.06416, 5.08139, 5.07895, 5.07939, 5.10784, 5.11764, 5.12022, 5.12967, 5.13527, 5.15765, 5.14515, 5.0972, 5.11618, 5.12191, 5.13166, 5.15007, 5.15047, 5.13846, 5.16132, 5.16206, 5.17141, 5.19027, 5.18502, 5.19643, 5.19739, 5.19841, 5.19339, 5.2083, 5.19369, 5.19, 5.18669, 5.16177, 5.19243, 5.19921, 5.18631, 5.16877, 5.1793, 5.1885, 5.18695, 5.18311, 5.18486, 5.21474, 5.19716, 5.19924, 5.18821, 5.19825, 5.1979, 5.19993, 5.21154, 5.21475, 5.21691, 5.21057, 5.21277, 5.22307, 5.23877, 5.2512, 5.25308, 5.23682, 5.22652, 5.23712, 5.24576, 5.25207, 5.2632, 5.24716, 5.23966, 5.24605, 5.25381, 5.27858, 5.28026, 5.29313, 5.30628, 5.31506, 5.30985, 5.30645, 5.32476, 5.33983, 5.35878, 5.35582, 5.34582, 5.34484, 5.33515, 5.31969, 5.33399, 5.36353, 5.33704, 5.30491, 5.2947, 5.28489, 5.29835, 5.29833, 5.29844, 5.34007, 5.34214, 5.34052, 5.34902, 5.34864, 5.34669, 5.35254, 5.35044, 5.35692, 5.35968, 5.34306, 5.33973, 5.36024, 5.3616, 5.37016, 5.38403, 5.40265, 5.42103, 5.43518, 5.44297, 5.44905, 5.43913, 5.44368, 5.44575, 5.45729, 5.43752, 5.42791, 5.41032, 5.39866, 5.41419, 5.41721, 5.42868, 5.42185, 5.42625, 5.41475, 5.44686, 5.4691, 5.46611, 5.45209, 5.45668, 5.42529, 5.43826, 5.43471, 5.44089, 5.45635, 5.45241, 5.42626, 5.45547, 5.47516, 5.47615, 5.50545, 5.47372, 5.48904, 5.50906, 5.5285, 5.50858, 5.50049, 5.48753, 5.49512, 5.49641, 5.48705, 5.50511, 5.50931, 5.48843, 5.47617, 5.46815, 5.49329, 5.51128, 5.48738, 5.50848, 5.52984, 5.5358, 5.52615, 5.53172, 5.54269, 5.567, 5.58198, 5.58484, 5.58724, 5.59331, 5.58438, 5.5847, 5.57241, 5.56603, 5.57033, 5.59267, 5.57896, 5.57864, 5.60249, 5.58496, 5.5793, 5.58033, 5.59609, 5.59858, 5.61326, 5.60492, 5.61138, 5.62235, 5.60445, 5.61496, 5.60319, 5.60483, 5.60263, 5.62153, 5.60475, 5.60775, 5.58725, 5.57356, 5.57876, 5.59211, 5.60882, 5.62559, 5.61645, 5.63946, 5.6181, 5.62748, 5.64931, 5.65418, 5.65294, 5.65635, 5.62734, 5.63217, 5.62421, 5.60452, 5.63209, 5.64148, 5.62661, 5.65769, 5.65693, 5.64379, 5.6648, 5.66057, 5.66821, 5.69177, 5.69361, 5.71976, 5.73557, 5.70659, 5.72431, 5.72166, 5.70917, 5.72828, 5.73773, 5.73931, 5.74044, 5.7401, 5.71612, 5.74624, 5.73128, 5.75187, 5.77003, 5.76373, 5.76653, 5.74562, 5.7671, 5.75382, 5.7498, 5.72984, 5.74496, 5.72989, 5.71986, 5.72357, 5.73886, 5.75006, 5.73657, 5.75466, 5.76897, 5.7837, 5.80783, 5.82471, 5.83049, 5.83723, 5.83796, 5.85172, 5.84577, 5.8157, 5.81347, 5.81018, 5.79799, 5.80435, 5.81825, 5.84212, 5.83086, 5.81846, 5.83012, 5.85692, 5.8616, 5.87435, 5.85936, 5.86477, 5.85212, 5.83809, 5.83953, 5.84631, 5.83258, 5.84431, 5.84285, 5.82293, 5.82856, 5.82405, 5.8346, 5.86117, 5.84618, 5.87002, 5.88714, 5.90231, 5.89437, 5.9151, 5.92763, 5.9363, 5.93465, 5.92944, 5.93495, 5.92462, 5.93533, 5.93125, 5.94966, 5.93622, 5.93825, 5.93689, 5.94791, 5.92797, 5.95236, 5.96802, 5.97978, 5.98755, 5.97898, 5.98281, 5.99482, 6.00841, 6.01872, 6.06158, 6.05453, 6.06136, 6.05819, 6.06383, 6.06034, 6.09418, 6.09627, 6.08161, 6.06767, 6.06879, 6.07005, 6.07447, 6.05042, 6.05884, 6.07341, 6.07203, 6.08555, 6.12105, 6.12461, 6.1168, 6.12544, 6.11673, 6.12977, 6.12019, 6.10651, 6.10999, 6.10643, 6.08514, 6.09765, 6.09935, 6.10661, 6.10207, 6.10204, 6.09907, 6.10846, 6.13444, 6.13461, 6.1447, 6.15188, 6.16093, 6.15835, 6.15896, 6.15806, 6.18698, 6.17926, 6.18736, 6.19579, 6.17998, 6.16711, 6.1835, 6.16347, 6.17609, 6.1791, 6.16363, 6.15762, 6.14928, 6.13315, 6.14037, 6.15166, 6.13665, 6.15089, 6.15506, 6.17247, 6.18043, 6.19063, 6.1896, 6.18287, 6.18561, 6.18007, 6.19411, 6.19811, 6.22029, 6.20739, 6.21788, 6.21044, 6.22421, 6.23958, 6.26975, 6.28549, 6.27302, 6.32224, 6.27617, 6.28777, 6.25742, 6.26826, 6.26398, 6.26686, 6.25002, 6.23712, 6.2383, 6.2238, 6.24418, 6.26386, 6.2861, 6.2879, 6.2937, 6.29959, 6.28062, 6.27355, 6.27898, 6.26824, 6.25787, 6.23766, 6.25485, 6.26281, 6.24314, 6.23578, 6.23539, 6.25339, 6.27663, 6.27693, 6.29167, 6.30326, 6.30924, 6.31114, 6.33966, 6.33611, 6.36657, 6.37409, 6.37877, 6.41498, 6.41196, 6.43371, 6.42778, 6.43735, 6.42406, 6.43925, 6.43962, 6.45123, 6.44256, 6.4258, 6.42846, 6.41316, 6.42601, 6.40616, 6.41535, 6.42919, 6.45239, 6.43492, 6.4027, 6.40519, 6.39919, 6.38338, 6.37973, 6.41034, 6.41907, 6.41781, 6.40557, 6.41904, 6.45155, 6.4595, 6.48, 6.49869, 6.51272, 6.51148, 6.50744, 6.50345, 6.50359, 6.50988, 6.5343, 6.53579, 6.52772, 6.53225, 6.52603, 6.55478, 6.5563, 6.54856, 6.53963, 6.5507, 6.53082, 6.51761, 6.51551, 6.5193, 6.52536, 6.4975, 6.51349, 6.51429, 6.52926, 6.54308, 6.54579, 6.56177, 6.5564, 6.57351, 6.58526, 6.59868, 6.59865, 6.61094, 6.6307, 6.61508, 6.61113, 6.60349, 6.62938, 6.60579, 6.60835, 6.59261, 6.572, 6.56797, 6.5779, 6.57687, 6.59482, 6.63808, 6.64189, 6.65295, 6.66888, 6.67303, 6.70089, 6.70617, 6.70977, 6.71067, 6.71112, 6.68365, 6.69925, 6.69763, 6.69167, 6.70224, 6.69194, 6.67874, 6.67294, 6.67985, 6.68519, 6.69766, 6.69799, 6.70451, 6.70392, 6.67859, 6.67851, 6.70853, 6.71316, 6.69927, 6.70117, 6.71639, 6.69624, 6.70837, 6.73224, 6.76019, 6.76107, 6.76719, 6.76795, 6.77753, 6.79915, 6.79402, 6.79533, 6.80207, 6.80418, 6.7998, 6.81486, 6.80792, 6.8018, 6.80838, 6.80155, 6.81342, 6.82295, 6.83073, 6.80628, 6.79754, 6.80711, 6.81353, 6.81383, 6.82098, 6.83473, 6.81635, 6.81092, 6.78831, 6.82494, 6.83627, 6.81404, 6.80911, 6.80454, 6.80186, 6.78851, 6.81972, 6.83738, 6.83972, 6.82565, 6.8406, 6.84598, 6.8612, 6.87422, 6.9147, 6.90085, 6.89606, 6.89215, 6.90593, 6.90359, 6.9128, 6.92456, 6.92154, 6.91183, 6.91551, 6.92164, 6.9179, 6.94118, 6.9518, 6.95352, 6.96115, 6.94781, 6.94676, 6.93507, 6.93501, 6.93938, 6.9546, 6.94991, 6.94595, 6.94028, 6.93205, 6.94956, 6.9718, 7.01063, 7.00397, 6.9971, 7.00084, 7.00107, 7.0003, 7.01697, 7.02327, 7.01493, 7.02535, 7.00996, 7.01871, 7.03836, 7.05339, 7.09303, 7.09544, 7.07071, 7.06985, 7.05945, 7.05397, 7.05556, 7.0335, 7.02819, 7.03394, 7.00728, 6.99493, 7.02358, 7.03455, 7.03245, 7.0311, 7.03381, 7.05253, 7.05518, 7.05251, 7.05374, 7.06323, 7.06211, 7.06601, 7.10546, 7.0991, 7.11396, 7.12947, 7.12777, 7.12058, 7.12236, 7.13322, 7.13799, 7.15606, 7.14399, 7.14494, 7.13956, 7.14645, 7.16392, 7.16179, 7.17322, 7.16004, 7.18364, 7.17337, 7.16762, 7.18314, 7.20821, 7.18569, 7.20711, 7.21418, 7.21293, 7.2247, 7.20371, 7.18633, 7.16728, 7.16986, 7.15977, 7.18173, 7.17548, 7.1744, 7.18198, 7.1924, 7.23974, 7.24999, 7.26112, 7.26665, 7.28718, 7.2963, 7.29044, 7.31479, 7.32507, 7.33394, 7.30091, 7.30011, 7.31009, 7.31837, 7.32003, 7.32519, 7.33972, 7.33818, 7.3199, 7.31552, 7.32831, 7.34034, 7.33681, 7.3201, 7.31754, 7.31472, 7.32169, 7.31292, 7.3377, 7.32691, 7.32313, 7.30978, 7.33374, 7.35777, 7.37826, 7.36371, 7.34371, 7.36913, 7.37203, 7.39179, 7.39926, 7.40847, 7.40106, 7.40728, 7.41349, 7.43303, 7.46531, 7.44631, 7.46442, 7.46044, 7.48643, 7.49598, 7.51773, 7.51562, 7.51392, 7.51075, 7.49782, 7.49575, 7.48744, 7.48971, 7.47871, 7.45945, 7.4564, 7.4609, 7.4557, 7.45613, 7.46941, 7.47595, 7.46559, 7.48603, 7.48265, 7.47038, 7.48778, 7.48772, 7.4981, 7.51072, 7.50272, 7.52769, 7.5218, 7.50588, 7.52026, 7.54508, 7.51904, 7.52817, 7.53437, 7.54437, 7.56295, 7.57031, 7.58418, 7.58569, 7.58767, 7.61337, 7.64528, 7.63652, 7.60744, 7.60265, 7.58121, 7.56771, 7.58447, 7.58735, 7.56509, 7.56606, 7.56982, 7.57667, 7.59168, 7.59915, 7.61552, 7.61956, 7.62535, 7.61858, 7.65067, 7.65344, 7.64726, 7.64531, 7.66513, 7.66531, 7.67273, 7.68613, 7.68069, 7.70921, 7.70449, 7.69737, 7.6903, 7.67602, 7.68208, 7.69505, 7.68638, 7.68761, 7.69339, 7.68213, 7.71555, 7.70926, 7.7309, 7.73865, 7.72517, 7.72797, 7.72491, 7.72408, 7.71134, 7.71201, 7.69898, 7.71412, 7.72698, 7.72014, 7.74007, 7.7405, 7.74861, 7.76416, 7.77877, 7.79021, 7.80659, 7.81099, 7.81014, 7.81306, 7.80143, 7.79047, 7.79841, 7.7889, 7.8028, 7.79016, 7.77822, 7.78896, 7.75895, 7.77479, 7.79878, 7.82756, 7.83385, 7.83809, 7.84448, 7.85926, 7.86088, 7.86361, 7.89799, 7.88316, 7.90247, 7.89488, 7.91137, 7.93411, 7.9478, 7.92446, 7.93106, 7.91713, 7.91613, 7.94318, 7.93475, 7.94345, 7.95153, 7.95396, 7.95145, 7.97665, 8.00105, 8.01566, 8.0182, 8.01745, 8.04251, 8.02524, 8.02566, 8.02608, 8.03552, 8.03046, 8.0433, 8.0465, 8.06287, 8.06805, 8.03605, 8.06234, 8.08123, 8.08756, 8.06262, 8.04842, 8.05062, 8.03807, 8.02054, 8.02163, 8.03845, 8.03266, 8.03672, 8.03258, 8.06054, 8.07239, 8.06702, 8.06878, 8.08966, 8.07921, 8.09804, 8.07007, 8.06732, 8.06802, 8.07804, 8.09714, 8.11412, 8.1151, 8.11713, 8.12941, 8.13326, 8.14331, 8.15738, 8.16369, 8.14724, 8.16164, 8.16346, 8.15968, 8.15566, 8.14442, 8.16081, 8.17478, 8.16574, 8.18337] \n",
    "vvar6= [1.05861, 1.07016, 1.05945, 1.0325, 1.0389, 1.00464, 1.02836, 0.999095, 1.01114, 1.01369, 1.02872, 1.02224, 1.02631, 1.03446, 1.01633, 1.03056, 0.99988, 0.99627, 0.976757, 0.985585, 0.975959, 0.985748, 0.979633, 0.997906, 0.999453, 0.986745, 1.00887, 1.02113, 1.03765, 1.00324, 0.977361, 0.977493, 0.973044, 0.9604, 0.993993, 1.02689, 1.01189, 0.97618, 0.964866, 0.970939, 0.974137, 0.963718, 0.976756, 0.963085, 0.94491, 0.898289, 0.902193, 0.920497, 0.948534, 0.954889, 0.944261, 0.971358, 1.0028, 1.01009, 0.999796, 1.00309, 1.00694, 0.990475, 0.982768, 0.991039, 1.00545, 0.989242, 0.959958, 0.962634, 0.963031, 0.979689, 0.969438, 1.00742, 0.991818, 0.958733, 0.957838, 0.983818, 0.994044, 0.979068, 0.976683, 0.976345, 0.992658, 1.00353, 0.985649, 1.00111, 1.01849, 1.00024, 1.0232, 1.01448, 1.02304, 1.02027, 1.01463, 0.994462, 0.980992, 0.982685, 0.987321, 0.998691, 0.955078, 0.959229, 0.99164, 0.968113, 0.981258, 0.989728, 1.0017, 1.01528, 0.998336, 0.980271, 0.985227, 0.986158, 0.969353, 0.950205, 0.915223, 0.933885, 0.94059, 0.909394, 0.891549, 0.919464, 0.935841, 0.946246, 0.944908, 0.938688, 0.968176, 0.976326, 0.974741, 1.01083, 1.00384, 0.986434, 0.988498, 0.98176, 0.976121, 0.968256, 0.964276, 0.926376, 0.936567, 0.932456, 0.980428, 0.988545, 0.981196, 0.987561, 0.965306, 0.968691, 0.966582, 0.976133, 0.967682, 0.977352, 0.941931, 0.949732, 0.97441, 0.983835, 0.992245, 1.00469, 0.992286, 1.00728, 1.03432, 1.04959, 1.06491, 1.06358, 1.05451, 1.05442, 1.07643, 1.06173, 1.07538, 1.07372, 1.04114, 1.01844, 1.00211, 0.996998, 0.959647, 0.96589, 0.95887, 0.97215, 0.981131, 0.984281, 0.993799, 1.01879, 1.02533, 1.04217, 1.04358, 1.03749, 1.04983, 1.05634, 1.0439, 1.05104, 1.07855, 1.06899, 1.05526, 1.03095, 1.03526, 1.04652, 1.05586, 1.05224, 1.063, 1.04173, 1.03088, 1.03378, 1.04785, 1.04572, 1.07249, 1.05264, 1.07037, 1.0442, 1.04451, 1.06622, 1.023, 1.01185, 1.01582, 1.00914, 0.969188, 0.992229, 0.934448, 0.973473, 0.97934, 0.978312, 1.00242, 1.0033, 1.0035, 0.983487, 0.989917, 0.971816, 0.99594, 0.965087, 0.941003, 0.935882, 0.955312, 0.951407, 0.944533, 0.937618, 0.928905, 0.980505, 0.972076, 0.981554, 0.992393, 0.985663, 0.958245, 0.9618, 0.956191, 0.995602, 1.00625, 1.00882, 1.00583, 1.00363, 1.00217, 1.00384, 1.03785, 1.06546, 1.07479, 1.0688, 1.06355, 1.03964, 1.05983, 1.04046, 1.0572, 1.0492, 1.03315, 1.01982, 1.02328, 1.02053, 1.01288, 1.01942, 1.00014, 1.00071, 0.988405, 0.969232, 0.989511, 0.990721, 0.973134, 0.957945, 0.99652, 1.03123, 1.07174, 1.09579, 1.08881, 1.12996, 1.13198, 1.11943, 1.11532, 1.14253, 1.13589, 1.12759, 1.05907, 1.04259, 1.04039, 1.00436, 1.00387, 1.01171, 1.00385, 0.986189, 0.939597, 0.933645, 0.947836, 0.956709, 0.95845, 1.00213, 1.00506, 0.97805, 0.988481, 1.03768, 1.04697, 1.03653, 1.03008, 1.02532, 1.03298, 1.01532, 1.01307, 1.02803, 1.00106, 0.940521, 0.96992, 0.980101, 1.00723, 1.0041, 1.00442, 1.00053, 1.01312, 1.02726, 1.04705, 1.07165, 1.02486, 1.03698, 1.03863, 1.05079, 1.04445, 1.02653, 1.01982, 1.0116, 1.0364, 1.02733, 1.06846, 1.05908, 1.03707, 1.00532, 1.0288, 1.02346, 1.03043, 1.02767, 0.985293, 1.00016, 0.985146, 0.97935, 1.0066, 1.0061, 0.97378, 0.979581, 0.981367, 0.985728, 0.982114, 0.98787, 0.98747, 0.989997, 0.960312, 1.00622, 1.02776, 1.05114, 1.0629, 1.05482, 1.05249, 1.06606, 1.04726, 1.05466, 1.07913, 1.04991, 1.01103, 0.999303, 0.956268, 0.940811, 0.943254, 0.920536, 0.949751, 0.95858, 0.946835, 0.914914, 0.931796, 0.928341, 0.94756, 0.989411, 1.00222, 1.01185, 1.0028, 0.96926, 0.958295, 1.01513, 1.04814, 1.0815, 1.09955, 1.09517, 1.11133, 1.10194, 1.11433, 1.12612, 1.1371, 1.09702, 1.06358, 1.04619, 1.01727, 0.975719, 0.933879, 0.947106, 0.95622, 0.935504, 0.955791, 0.941703, 0.912402, 0.923762, 0.924255, 0.937007, 0.941031, 0.919185, 0.916524, 0.926916, 0.898546, 0.906275, 0.932569, 0.938633, 0.935905, 0.932219, 0.954936, 0.980425, 0.998053, 0.998838, 1.01447, 1.01221, 1.04331, 1.01392, 1.01141, 1.02781, 1.02445, 1.01696, 1.00063, 0.987669, 0.982153, 0.977404, 0.943759, 0.972563, 0.972733, 0.986584, 0.989967, 0.993, 0.987685, 0.989084, 0.991087, 0.997809, 1.00788, 0.975269, 1.03829, 1.0125, 1.01088, 1.00688, 1.02901, 1.03687, 1.05576, 1.05193, 1.0091, 1.02672, 0.965379, 0.991812, 0.976985, 0.977887, 0.963751, 0.973344, 0.954974, 0.943767, 0.981535, 0.954211, 0.964559, 0.943743, 0.9366, 0.960715, 0.9679, 0.947575, 0.947587, 0.958688, 0.946469, 0.957249, 0.98203, 1.0165, 0.999412, 0.970574, 0.956233, 0.967503, 0.964686, 0.94956, 0.94169, 0.956252, 0.952188, 0.954204, 0.968146, 0.972295, 0.996048, 1.00809, 1.00706, 1.03096, 1.05537, 1.04513, 1.01596, 1.02046, 0.987775, 0.987156, 0.986908, 0.979042, 0.985546, 0.962693, 0.954917, 0.977463, 0.970519, 0.982851, 0.991918, 0.998523, 1.00033, 0.994532, 0.989832, 0.987856, 0.99379, 0.966839, 0.962916, 0.952801, 0.961575, 0.979721, 0.978282, 0.966311, 0.959455, 0.994555, 0.974304, 1.00341, 1.00599, 1.0135, 1.01585, 0.9866, 0.990193, 0.99016, 1.01811, 1.01478, 1.03643, 1.0335, 1.0353, 1.0162, 1.0105, 1.01874, 1.02061, 1.05004, 1.04448, 1.0406, 1.03546, 1.02617, 1.02806, 1.0469, 1.03988, 1.08676, 1.09311, 1.08228, 1.07528, 1.09263, 1.039, 1.04764, 1.04885, 1.02986, 1.06506, 1.04068, 1.00271, 1.00062, 0.98648, 0.94539, 0.952505, 0.932397, 0.963833, 0.978836, 0.943362, 0.930245, 0.950293, 0.948068, 1.00724, 1.03761, 1.07181, 1.05245, 1.02609, 1.02149, 1.00937, 0.998941, 1.0357, 1.0393, 0.97701, 0.968802, 0.953152, 0.940935, 0.951677, 0.945717, 0.975679, 0.992671, 0.961002, 0.944904, 0.94345, 0.928511, 0.911623, 0.920588, 0.92905, 0.94184, 0.918743, 0.924633, 0.926226, 0.954874, 0.976989, 1.00822, 1.0297, 1.04461, 1.01923, 1.01143, 1.01325, 1.03496, 1.01165, 1.00324, 1.04306, 1.00162, 0.992051, 0.994302, 1.01291, 1.02739, 1.02976, 0.98974, 1.02116, 1.02321, 0.978068, 1.02873, 1.01317, 1.02654, 1.035, 0.993591, 1.01085, 1.02612, 0.995163, 1.00922, 1.02408, 0.984131, 1.00612, 1.02282, 0.995684, 1.04067, 1.01741, 1.02589, 1.0449, 1.04217, 1.02199, 1.02678, 1.001, 1.00443, 1.0358, 1.07752, 1.0798, 1.0651, 1.07786, 1.10699, 1.13096, 1.14529, 1.16742, 1.14197, 1.11764, 1.06179, 1.05819, 1.07763, 1.05967, 1.03999, 1.0224, 0.991698, 0.994429, 0.992354, 1.00703, 1.00574, 1.00303, 1.01402, 1.01323, 1.03101, 1.01146, 0.993696, 1.00104, 0.997405, 1.00302, 0.969433, 0.968384, 0.953496, 0.921796, 0.914906, 0.921255, 0.905664, 0.895673, 0.939304, 0.940481, 0.962948, 0.975318, 0.977499, 0.998312, 0.982404, 0.985261, 1.01536, 1.01206, 0.953324, 0.941474, 0.918838, 0.92245, 0.936071, 0.942512, 0.973886, 0.958358, 0.978579, 0.987411, 0.983928, 0.993346, 1.02808, 1.03576, 1.01487, 0.988441, 0.979064, 1.00409, 0.963261, 0.997696, 1.03654, 1.03989, 1.03941, 1.00595, 1.06019, 1.07316, 1.05976, 1.04107, 1.08592, 1.06721, 1.03153, 1.02664, 1.02676, 1.03771, 1.00545, 1.0357, 1.04121, 1.03373, 1.06309, 1.04825, 1.03829, 1.02822, 0.997858, 0.994941, 0.966628, 0.955858, 0.935023, 0.922071, 0.900211, 0.899209, 0.933013, 0.95374, 0.962507, 0.951413, 0.96279, 1.00393, 0.986506, 1.01159, 1.02152, 1.01475, 1.01593, 1.02804, 1.0169, 1.02769, 1.01963, 1.00298, 1.03226, 1.00426, 0.996813, 1.02617, 1.01852, 1.00044, 1.00558, 1.01681, 1.03689, 1.00336, 1.01282, 1.02902, 1.03594, 1.0232, 0.996982, 1.00796, 1.01886, 0.98451, 0.983223, 0.997314, 0.971436, 0.988002, 0.989781, 0.986186, 1.01635, 1.00952, 0.994566, 1.01452, 1.02192, 1.05237, 1.05556, 1.03248, 1.00279, 1.01636, 1.00616, 0.999488, 1.0072, 1.01665, 0.989738, 0.996655, 1.00333, 1.03551, 1.03042, 0.989709, 0.980985, 0.969348, 0.964717, 0.987488, 1.00612, 0.990503, 0.995926, 0.976258, 0.966909, 0.995633, 0.992523, 1.00773, 1.01745, 1.03125, 1.01187, 0.994703, 0.981861, 0.97094, 0.992856, 0.967997, 0.97385, 0.961788, 0.966808, 0.956578, 0.975126, 0.979365, 1.00764, 1.03673, 1.02664, 1.04586, 1.06932, 1.09664, 1.11842, 1.08529, 1.08515, 1.1052, 1.06981, 1.05224, 1.04486, 1.04956, 1.03204, 1.02869, 1.00362, 1.01099, 1.01348, 0.963085, 0.956135, 0.952433, 0.997328, 0.99185, 0.992266, 0.963043, 1.01296, 1.00561, 1.00482, 1.04839, 1.05427, 1.07335, 1.01962, 0.995303, 1.01684, 1.03681, 1.02423, 1.04266, 1.05706, 1.02797, 1.03804, 1.02716, 1.03854, 1.04887, 1.03026, 1.02136, 0.999243, 0.995965, 0.976381, 0.972278, 0.979901, 0.973396, 1.01036, 1.01227, 1.00459, 0.980774, 0.998161, 0.983694, 1.00709, 0.998363, 1.00629, 0.989589, 0.953579, 0.965983, 0.997374, 1.0159, 1.02157, 1.00733, 0.990328, 0.998653, 0.97764, 0.998368, 1.01175, 1.02036, 1.02889, 0.98007, 0.953297, 0.946624, 0.935191, 0.911357, 0.922301, 0.954952, 0.960168, 0.922982, 0.908352, 0.923675, 0.982799, 1.02853, 1.03303, 1.05778, 1.07862, 1.04745, 1.03332, 1.05349, 1.07429, 1.08004, 1.06223, 1.04442, 1.02817, 1.02087, 1.00854, 1.01847, 1.01473, 1.00455, 0.96904, 0.993694, 0.989188, 0.978185, 0.991861, 0.989992, 0.986585, 0.98348, 1.00084, 1.00265, 0.99371, 0.993813, 0.986369, 0.96999, 0.991164, 0.988237, 0.988132, 0.975875, 0.955364, 0.992079, 0.98408, 0.974073, 0.971604, 0.995513, 0.988188, 0.996241, 1.02025, 1.02782, 1.06649, 1.04787, 1.07486, 1.09043, 1.10641, 1.12212, 1.10585, 1.10037, 1.0552, 1.06618, 1.01731, 1.01608, 0.995179, 0.998958, 0.981536, 0.961399, 0.973534, 0.99492, 0.978881, 0.987939, 0.989891, 1.00017, 1.00777, 1.01641, 1.03927, 1.06714, 1.03687, 1.01043, 1.05487, 1.06683, 1.05497, 1.06488, 1.0611, 1.0928, 1.04473, 1.02992, 1.03119, 1.02675, 0.995911, 0.985628, 0.989921, 0.952465, 1.01235, 0.977362, 0.959317, 0.945273, 0.954897, 0.955657, 0.954449, 0.958491, 0.951222, 0.984658, 0.944012, 0.931457, 0.951453, 0.995549] \n",
    "cur_mean6=[ (999,5.025), (1999,5.05012), (2999,5.07538), (3999,5.10075), (4999,5.12626), (5999,5.15189), (6999,5.17765), (7999,5.20354), (8999,5.22955), (9999,5.2557), (10999,5.28198), (11999,5.30839), (12999,5.33493), (13999,5.36161), (14999,5.38841), (15999,5.41536), (16999,5.44243), (17999,5.46964), (18999,5.49699), (19999,5.52448), (20999,5.5521), (21999,5.57986), (22999,5.60776), (23999,5.6358), (24999,5.66398), (25999,5.6923), (26999,5.72076), (27999,5.74936), (28999,5.77811), (29999,5.807), (30999,5.83604), (31999,5.86522), (32999,5.89454), (33999,5.92401), (34999,5.95363), (35999,5.9834), (36999,6.01332), (37999,6.04339), (38999,6.0736), (39999,6.10397), (40999,6.13449), (41999,6.16516), (42999,6.19599), (43999,6.22697), (44999,6.2581), (45999,6.28939), (46999,6.32084), (47999,6.35245), (48999,6.38421), (49999,6.41613), (50999,6.44821), (51999,6.48045), (52999,6.51285), (53999,6.54542), (54999,6.57814), (55999,6.61104), (56999,6.64409), (57999,6.67731), (58999,6.7107), (59999,6.74425), (60999,6.77797), (61999,6.81186), (62999,6.84592), (63999,6.88015), (64999,6.91455), (65999,6.94912), (66999,6.98387), (67999,7.01879), (68999,7.05388), (69999,7.08915), (70999,7.1246), (71999,7.16022), (72999,7.19602), (73999,7.232), (74999,7.26816), (75999,7.3045), (76999,7.34103), (77999,7.37773), (78999,7.41462), (79999,7.45169), (80999,7.48895), (81999,7.5264), (82999,7.56403), (83999,7.60185), (84999,7.63986), (85999,7.67806), (86999,7.71645), (87999,7.75503), (88999,7.7938), (89999,7.83277), (90999,7.87194), (91999,7.9113), (92999,7.95085), (93999,7.99061), (94999,8.03056), (95999,8.07071), (96999,8.11107), (97999,8.15162), (98999,8.19238), (99999,8.23334), ]\n",
    "len(x6),len(pmean6), len(pvar6),len(vmean6),len(vvar6),len(cur_mean6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "6d4f6880-5808-44f6-9826-ba674450dc33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'mean')"
      ]
     },
     "execution_count": 56,
     "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(x6[start:],pmean6[start:])\n",
    "plt.plot(x6[start:],vmean6[start:])\n",
    "plt.plot([a[0] for a in cur_mean6],[a[1] for a in cur_mean6])\n",
    "plt.title(\"mean\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "c61ec354-0b29-47b3-a61c-bfd0433d032f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'variance')"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGxCAYAAAB89YyPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAADiMUlEQVR4nOx9d5wkRd3+U909YXfv9jIX4I6cjnAcOYiAgaAgKiiCIkkQ8VUQfdVTUTDxw0hSMAAnKAgvSFLJSEbggCPn4wLH5bu9zTPT3fX7o7u6q6qre3rS7sxuPZ/PfW62p6e7uru66qnnmwillEJDQ0NDQ0NDo4VgDHcDNDQ0NDQ0NDQqhSYwGhoaGhoaGi0HTWA0NDQ0NDQ0Wg6awGhoaGhoaGi0HDSB0dDQ0NDQ0Gg5aAKjoaGhoaGh0XLQBEZDQ0NDQ0Oj5aAJjIaGhoaGhkbLQRMYDQ0NDQ0NjZaDJjAaGhrDjvnz54MQgsWLFw93UzQ0NFoERJcS0NDQGG6sWbMG77zzDubOnYtcLjfczdHQ0GgBaAKjoaExbBgYGEA+nwchZLiboqGh0WLQJiQNDQ0lbrvtNhBC8MADD0S+u+KKK0AIwYsvvogFCxbgc5/7HLbYYgu0tbVhiy22wPHHH48lS5YIv2FmonvvvRennnoqpkyZgvb2dhQKBaUJ6b777sPRRx+NzTbbDPl8Httssw2+/OUvY+3atcJxzz//fBBC8Morr+D444/HuHHjMHXqVJx66qnYuHGjsK/rurjsssuw2267oa2tDePHj8e+++6LO+64Q9jvxhtvxH777YeOjg6MGTMGhx12GJ5//vka76iGhkY9oQmMhoaGEkceeSQ22WQTXHPNNZHv5s+fj9133x277rorFi9ejO233x4XX3wx7rnnHlx00UVYsWIF9tprrwjZAIBTTz0VmUwG1113HW6++WZkMhnl+d955x3st99+uOKKK3Dvvffihz/8IZ566il84AMfQKlUiux/zDHHYLvttsMtt9yC7373u7j++uvxjW98Q9jn5JNPxtlnn4299toLN954I/7+97/jE5/4hECcfv7zn+P444/H7NmzcdNNN+G6665DT08PDjzwQLz66qsV3kUNDY2GgWpoaGjE4Nxzz6VtbW20q6sr2Pbqq69SAPSyyy5T/sa2bdrb20s7OjroJZdcEmy/5pprKAD6xS9+MfIb9t27776rPKbrurRUKtElS5ZQAPT2228PvvvRj35EAdBf/OIXwm/OOussms/nqeu6lFJKH3nkEQqAfv/734+93qVLl1LLsujXvvY1YXtPTw+dNm0a/exnPxv7Ww0NjaGFVmA0NDRiceqpp2JgYAA33nhjsO2aa65BLpfDCSecAADo7e3Fd77zHWyzzTawLAuWZWHMmDHo6+vDa6+9FjnmMccck+rcq1evxplnnomZM2fCsixkMhlsvvnmAKA87ic+8Qnh71133RWDg4NYvXo1AOCuu+4CAHz1q1+NPec999wD27bxxS9+EbZtB//y+TwOOuggPPTQQ6narqGh0XhYw90ADQ2N5sVOO+2EvfbaC9dccw3OOOMMOI6Dv/71rzj66KMxceJEAMAJJ5yABx54AOeddx722msvdHZ2ghCCj33sYxgYGIgcc/r06WXP67ouDj30ULz//vs477zzsMsuu6CjowOu62LfffdVHnfSpEnC3yyaie27Zs0amKaJadOmxZ531apVAIC99tpL+b1h6DWfhkazQBMYDQ2NRJxyyik466yz8Nprr2HRokVYsWIFTjnlFADAxo0b8c9//hM/+tGP8N3vfjf4TaFQwPr165XHSxNx9PLLL+OFF17A/PnzcdJJJwXb33777aqvY8qUKXAcBytXrowlUZMnTwYA3HzzzYHao6Gh0ZzQywkNDY1EHH/88cjn85g/fz7mz5+PTTfdFIceeigAj4xQSiO5W/785z/DcZyqz8lIjnzcP/zhD1Uf84gjjgDgRVDF4bDDDoNlWXjnnXew5557Kv9paGg0B7QCo6GhkYjx48fjU5/6FObPn4+uri5861vfCkwpnZ2d+OAHP4hf/vKXmDx5MrbYYgs8/PDDuOqqqzB+/Piqz7nDDjtg6623xne/+11QSjFx4kTceeeduO+++6o+5oEHHogTTzwRP/3pT7Fq1SoceeSRyOVyeP7559He3o6vfe1r2GKLLfDjH/8Y3//+97Fo0SIcfvjhmDBhAlatWoWnn34aHR0duOCCC6pug4aGRv2gFRgNDY2yOOWUU7B69WoUi0WcfPLJwnfXX389DjnkEHz729/Gpz/9aSxYsAD33Xcfxo0bV/X5MpkM7rzzTmy33Xb48pe/jOOPPx6rV6/G/fffX9N1zJ8/H7/5zW/wxBNP4Nhjj8VnP/tZ3H777dhyyy2DfebNm4ebb74Zb775Jk466SQcdthh+Pa3v40lS5bggx/8YE3n19DQqB90Jl4NDQ0NDQ2NloNWYDQ0NDQ0NDRaDprAaGhoaGhoaLQcNIHR0NDQ0NDQaDloAqOhoaGhoaHRctAERkNDQ0NDQ6PloAmMhoaGhoaGRsthxCSyc10X77//PsaOHZsqVbmGhoaGhobG8INSip6eHsyYMaOiemMjhsC8//77mDlz5nA3Q0NDQ0NDQ6MKLFu2DJtttlnq/UcMgRk7diwA7wZ0dnYOc2s0NDQ0NDQ00qC7uxszZ84M5vG0GDEEhpmNOjs7NYHR0NDQ0NBoMVTq/qGdeDU0NDQ0NDRaDprAaGhoaGhoaLQcNIHR0NDQ0NDQaDloAqOhoaGhoaHRctAERkNDQ0NDQ6PloAmMhoaGhoaGRstBExgNDQ0NDQ2NloMmMBoaGhoaGhotB01gNDQ0NDQ0NFoOmsBoaGhoaGhotBw0gdHQ0NDQ0NBoOWgCo6GhoaGhodFy0ARGQ0NDo1lR7AcevxRY+/Zwt0RDo+mgCYyGhoZGs+LBnwL3nQdcvudwt0RDo+mgCYyGhoZGs2LJ4/4HOqzN0NBoRmgCo6GhoaGhodFy0ARGQ0NDQ0NDo+WgCYyGhoZG00KbjjQ04qAJjIaGhkazgmoCo6ERB01gNDQ0NDQ0NFoOmsBoaGhoaGhotBw0gdHQ0NBoWmgTkoZGHDSB0dDQ0GhWaP6ioRELTWA0NDQ0NDQ0Wg6awGhoaGhoaGi0HDSB0dDQ0GhaaBuShkYcNIHR0NDQaFboPDAaGrHQBEZDQ0NDQ0Oj5aAJjIaGhoaGhkbLQRMYDQ0NDQ0NjZaDJjAaGhoaTQvtA6OhEYeKCcwjjzyCo446CjNmzAAhBLfddlvi/itWrMAJJ5yA7bffHoZh4JxzzonsM3/+fBBCIv8GBwcrbZ6GhobGyIF24tXQiEXFBKavrw9z5szB5Zdfnmr/QqGAKVOm4Pvf/z7mzJkTu19nZydWrFgh/Mvn85U2T0NDQ0NDQ2MUwKr0B0cccQSOOOKI1PtvscUWuOSSSwAAV199dex+hBBMmzat0uZoaGhoaGhojEI0jQ9Mb28vNt98c2y22WY48sgj8fzzzyfuXygU0N3dLfzT0NDQGFngTEjanKShIaApCMwOO+yA+fPn44477sANN9yAfD6PAw44AG+99Vbsby688EKMGzcu+Ddz5swhbLGGhobGEIAnLdQdvnZoaDQhmoLA7LvvvvjCF76AOXPm4MADD8RNN92E7bbbDpdddlnsb+bNm4eNGzcG/5YtWzaELdbQ0NAYYrj2cLdAQ6OpULEPzFDAMAzstddeiQpMLpdDLpcbwlZpaGhoDCNcZ7hboKHRVGgKBUYGpRQLFy7E9OnTh7spGhoaGsMIzoSkFRgNDQEVKzC9vb14++23g7/fffddLFy4EBMnTsSsWbMwb948LF++HNdee22wz8KFC4PfrlmzBgsXLkQ2m8Xs2bMBABdccAH23XdfbLvttuju7sall16KhQsX4ne/+12Nl6ehoaHRwqCawGhoxKFiArNgwQIccsghwd/nnnsuAOCkk07C/PnzsWLFCixdulT4zdy5c4PPzz77LK6//npsvvnmWLx4MQCgq6sLZ5xxBlauXIlx48Zh7ty5eOSRR7D33ntXc00aGhoaIwQ8gdEmJA0NHoTSkRGb193djXHjxmHjxo3o7Owc7uZoaGho1I6LdwG6/AXhua8DndqsrjHyUO383ZQ+MBoaQ4rSILBh8XC3QkMjCrsYfqZagdHQ4KEJjIbGNYcDl8wBlj0z3C3R0BDhcARG+8BoaAjQBEZD430/6/Pz1w1vOzQ0ZAgERiswGho8NIHR0GAo9Q93CzQ0RGgFRkMjFprAaGgwFDWB0WgiUKoVGA2NBGgCo6HBUOob7hZoaITgyQugFRgNDQmawGhoMJQGhrsFGhohNIHR0EiEJjAaGgytbkIq9gP3XwAsf264W6JRD9gygdEmJA0NHprAaGgwFHuHuwW14eH/Bzz2G+BPh5TfV6P5ISswOg+MhoYATWA0NBhaPQrp/YXD3QKNesIpiH9rE5KGhgBNYDQ0GOzB4W5BbdAT3MiCUxL/1s9XQ0OAJjAaGgx2ofw+zQzZ5KDR2pD7oyYwGhoCNIHR0GBoeQJTKr+PRusgYkLSPjAaGjw0gdEY3Vj6FPdHixdm1wRmZCFiQtIERkODhyYwGqMXa98Grj50uFtRP7iawIwoaBOShkYiNIHRGL1458HoNtrCKoz2gRlZ0E68GhqJ0ARGY/Ri3dvRba1MAhw9wY0oyIqaNiFpaAjQBEZj9GJgQ3RbsYXrIbUy+dKIQlZcdCI7DQ0BmsBojF6Ymei2Vk5mp31gRhZkxUWbkDQ0BGgCozF6QRTdv6UVGD3BjSjIhEUTGA0NAZrAaIxiKBx2W9kM08pt14iCuuLfmsBoaAjQBEZj9MJ1o9taOQpJm5BGFiIKjPaB0dDgoQmMxuiFvML1Ng55M+oG5fVotCwiPjCawGho8NAERmP0QjXhaxKg0SzQPjAaGonQBEZj9EJJYFpYgdEYWZDDpjWB0dAQoAmMxuiFMq+GJjAaTQJtQtKoBosfAza+N9ytGBJYw90ADY1hg1ZgNJoZMmHRiew0ymHZM8D8j3ufz984vG0ZAmgFRmP0QhMYjWaG9oHRqBRLHh/uFgwpNIHRGL1QhlFrJ16NJoH2gdHQSIQmMBqjFyMpjFpn4R150AqMhkYiNIHRGL0YSSYkezD8rCqRoNF6kBVC7cRbPV7+B/DnjwJdy4a7JRp1hB7pNEYvRlIeGLsQfjYURSo1Wg86E2/9cPMpwHtPA3d9Z7hb0mC06AKsSmgCozF6MZLCqHkFRmNkQPvA1B+DIz8yZzRBExiN0YuRakLS4bYjAxHC0qJ9U2MIQcKPo0Cx0wRGY/RipJqQRsHANSoQyQPTon2zmUBI+X1GCkZBdXpNYDRGL1Rh1K26yhVMSLR1lSSNEBECo59pzdAEZkRBExiN0Qu2ov3MX4CpO4vbWg28AgO07nVohGCmQBZVpp9pHTDSCQxHckdBagVNYDRGL9iEYJgIBrZWXeXKTrx6smt9MB8YFlXWqn2zmTDSFRjeb0orMBoaIxhskicGtzBr0Uliw2Lxb+0H0/pgk5HJwuJbtG82FUY4gXFK3GdNYDQ0Ri54iT6Q6VtwkuhbB/zzHHGbVmBaH8xHixEY/Uw1yoEnLTyZGaHQBEZj9IJXYFrZhLTyheg2HUrd+oiYkDSBqRkjPUu1VmA0NEYJAgJjcgNbCxIYw4pu05Nd64ORUFP7wNQNI90HhictrlZgNDRGLgICQ8KBrRUnflXpAO0D0/oIFBifoLZi32w6jCICo01IGhojGO4IMSGpZHE92bU+GAk1s97/+pnWjhGvwGgTkobG6AAfRt3KuTZUUnErXoeGCFcyIbWieVNjaCEoMJrAaGiMXAhh1Gxl1oKThGqg0iak1gfzgdEmpPphxDvx8gRGJ7LT0Bi5EDKdtrAJSWXr1pNd6yPIA6NNSHXDm3cDb90/3K1oHPixYBRUqNcERmP0QlBgWtiEpCQwWoFpecgmpFYk182Ivx0z3C1oHHgFZnDj8LVjiKAJjMbohRBGPcJMSK1IxDRERKKQWrBvagwtBALTNWzNGCpoAqMxeqFMZNeCE79KgdE+MK0PqjPxalQIfiwY2DB87RgiVExgHnnkERx11FGYMWMGCCG47bbbEvdfsWIFTjjhBGy//fYwDAPnnHOOcr9bbrkFs2fPRi6Xw+zZs3HrrbdW2jQNjcrgqvLAtOAqV6nAtOB1aIjQmXjrg9H0LvBjwUDXsDVjqFAxgenr68OcOXNw+eWXp9q/UChgypQp+P73v485c+Yo93nyySdx3HHH4cQTT8QLL7yAE088EZ/97Gfx1FNPVdo8DY30EMKoWzg/hJLAaAWm5eGraAXawlmimwGjifiNMhOSIgd5Mo444ggcccQRqfffYostcMkllwAArr76auU+F198MT760Y9i3rx5AIB58+bh4YcfxsUXX4wbbrih0iZqaKTDSHHiZSv1TXYCelcB/Wu1CWkkwH+u972xAUeaaM2+2QwYTe+CYELqGrZmDBWawgfmySefxKGHHipsO+yww/DEE0/E/qZQKKC7u1v4p6FREUZKMce7vu39P21nT00C9GQ3EuCraCXoZ1oT3JGfDyUAr8CU+oevHUOEpiAwK1euxNSpU4VtU6dOxcqVK2N/c+GFF2LcuHHBv5kzZza6mRojDXwemFaNQir2hZ97VnBK0ihadY5QFIreZGRTRmBarG82C0YVgeEUmFHQX5qCwAAAkXwQKKWRbTzmzZuHjRs3Bv+WLVvW6CZqjDSoqlG32iqXH7CKfd61AK13HRoRlErexKsVmBoxqggMp8CMgkVMxT4wjcC0adMiasvq1asjqgyPXC6HXC7X6KZpjGSMBBMSPzgX+0Mi5urJruVBGYHRpQRqwqjygeEJzMjvL02hwOy333647777hG333nsv9t9//2FqkcaIh+uEmSqFMOoWe+kFBaYXMFpUSdKIgPgTr90c68zWxahSYLhrHQVjQMVvRm9vL95+++3g73fffRcLFy7ExIkTMWvWLMybNw/Lly/HtddeG+yzcOHC4Ldr1qzBwoULkc1mMXv2bADA2WefjQ9+8IO46KKLcPTRR+P222/H/fffj8cee6zGy9PQiMFjvwk/81FIreYDI6cO75jsfR4F8vGIh3birQ9G07swyhSYignMggULcMghhwR/n3vuuQCAk046CfPnz8eKFSuwdOlS4Tdz584NPj/77LO4/vrrsfnmm2Px4sUAgP333x9///vf8YMf/ADnnXcett56a9x4443YZ599qrkmDY3yePJ34WfDxIgwIW13OPD+897nUTB4jXQwBUabkGrEaFFgKNUEphwOPvhg0IRBfv78+ZFtSfszHHvssTj22GMrbY6GRnXItIeptvkopFZ76XkT0sd+CVzlpyMYTXb/tHCdMMy8FeArBzoKqUaMlnfBdSAoyK02llWBpvCB0dAYcmTaws/EQCl411tsknB9AjNmKtA2nssDM0oG7bT497eBn28KPPZboH/9cLcmFYg2IdUHo0WBkTNypyW8S58C7voOUOipf5saDE1gNEYnLJ7AmHjwjTUAgA19hWFqUJVgCgyrl6PDqNV4+g+APQDcfz7wt88Md2tSgREYWxOY2jBqCUzK/nL1ocBTVwIP/b/6t6nB0ARGY3RCUmAc6pmQlq3vi/lBk4IRGNO3BjNTmA6jjsfyBcPdglQwIlFILaYONgtGDYGRqtJXSnjXvlm/tgwRNIHRGJ2wwhxClJBgarBaraijKykwupTAiAGBNiHVBaPFB6ZaBSZAi4190ARGY7SCIzBFF6D+y2uSFpskAgWGmZB0KYEI7BYzC/owqBiFRDWBqQ6awKRDqy3eoAmMxmiFGRKYwUIpJDBGi73ETB43tQ9MLAZbs9Ar8Z8h84GhrjYhVQVtQkqJFhv7oAmMxmhFvjP42Ie2gMC0XKhqxImXlRIYJavONCi0FoFZ3jWAC+54GQa8Cajkh1FrBaZKjBoCoxUYDY1RAv9l3e9/0O9aAYFxW23idyUTkg6jjqLFCMzpf1mAa59YFPzNnHhpq/XNZoEmMCmhCYyGRmuADWpjp2Og6MANCEyrKjAsCknXQoqgxfJbvLqiGxZCssKceNMkBK0rnJKX2bnVI9pGC5mPmJAq7C9agdHQaA1Qf1B74M11uObxdwMFxmm1wdoftBZ3lfDOml5djVoFeWBvATDzETCMTrx3fB3448HAwxcN7XnrjdGiXMkKTKXXrQmMhkZr4PnFawEA/3lrA/7x/PKAwLScTO+bkN5eV8CHf/2wDqNWodX8mgBYHIEJnXiH+Jm+cL33/yO/HNrz1hvahJQSmsBoaLQE1mz0EtY5/isQKjAtNtn56kKQ7EyHUUfRgmROrcAMU99s9b40agiMrzRaee9/7cSroTEyYUJM087mhtZTYLzBObgOHUYdRYvdC0Ig+MDY1CfZrdY3mwWMwEzezvufjNBpjykwLMeVVmA0NEYmmETv+JOD678KrafAeINW0V+lM2fkUWP3T4MWIzAGIYECY1Mj6Jutdh1NA/YumFnvf+q2pFmxLBiBMaskMFqB0dBoDUQUGH+722qTBDMh+blC9GSnQIvdC5OQkGDDCP2zRuKkOxQICEwm3NZifSIVajUhaQVGQ6M1EE4QjMAwJ94WG9iCgn9MSWIJ+bQCE6DFJivDAEziPT8HJkzTNyG12HU0DYJs1dlwW7PdS8cGSgM1HkM2Iekwag2NEYlwghCdeN1mIjBpBiCfqAQmMOgw6gjkyarJfSAMAvzS+iMA73m2ZX3loNkm3VaBisA0m4n1d3sDv9oeKA1Wf4yAwGgFRkOjdlAKLH8OGNw43C2JgDlJNi2BefTXwC+3AdYvSt7PFa/DoUyBaZLraAbI94Il/WtSzCZLsZ/5avB3e84jMNqEVCUYgeEKuDbN+7HoYWDtW8D6d4DCRmDtG9UfKzAhaR8YDY3a8fb9wJ8OAa44YLhbIoBSGjpJSj4wTWNCeuDHQP9a4L4fJe8nKTChD0yTrTCHExEFxhyedqTEVmR58NmEi/acR7jyxQ21rdBHK2QnXqA53o/lzwLXfgK4fM9wm9VW/fG0AqOhUUe8dof3/8Zlw9sOCS6F4CQJcASg6Va5ZdrjD1KBCYlqJ94I5GdqNDeBmUVWBZ9NuGjLehOv5RaAS+YMV7NaF81qQnrv2ei2Wt5brcBoaKTAY78FHv5F+f3MXPl9hgGOS2OjkJov10aZQUU2Iekw6ijkgbzJSwuMQaiyUAAdec7k1bty6BvU6qAqBaYZCL5iceLW0DfdWqOQWg/NbQzWaD6UBoD7z/c+T98N2O7Q+H35AaOJ4FLK5YERw4+bLoy63KooosBoH5gIIgSmMDztSAlCEMxtFATtueZ8j1oGzRqFpFJ75XIAlUAnstPQKAM+Lff1n0le6fN5F4YC7z0L3PIlYOPyxN1cyisw4ivQfNWo0yow3n421WHUEUSceIe4X1YIk1uZUxB05Jq7vU2PwAfGAppKoVQRmBrKHozCUgJagdGoDPKLv/o1YNrO6n2tITYh/flD3v89K4GT/xm7m+NSLgqpxfPAUNmExHxgmo2IDSPkgXzm3sPTjpSwSNheijAKKdxIW3KyGTawRZdhef5Prt0kCoyiDXVRYJjSRCvsK63Xp7QCo1EZZAKz4oX4fYXMl0M4oa58MfFr1wVMwqKQxARwLZcszH8e1L8O2xW3ayA6UTQ5uTNkBSYvmZCG4tk+/afGn2OowBOYNMVO374f+PWOwNsPNLZdqn5Ykw+Md02vrOIS4lUynrUgKdYERqMyyC+YnZA9krc525zfAaXADScAN59a37YF50pexTg0XoFpuiiklD4wLPrI1mHUUUQG8TLP2C4OKwE0iUhg8hkpaqqWSS4t/v2txp9jqMAIDDHDEPqk5/vXY4Ce94G/frrBDVOZkGohMN51PrG4hztFGQIjKM6awGiMdMil6ZMmfJ7AlPrDz93LgTf+Bbx8C1DorW/7gLIyrOcDI4ZR18WEdPf3gGs/WefJrxyBkUxIrPmtpiQ1EuxekBQh5qVBL4HgMOYuMoj4TmUzkqW/yaOomg7sfTTMMIS+Gd4PpRNvDc/WHwtKvGdIuevkFzqtx180gdGoEDKBSZysuTeiFCNrNiJHTBn1wXWjBKYuJqT//g5Y9B9g8aPVH0NGOQXGFaOQSiwPjDYhhWDPlGXgTXrGq17xMqKuea3x7YoB65sAAALkZAIjv4P1RrOpkLUiIDBWOhI7ZGiMCakETrErq8Dw40TrMRhNYDQqgzwxJpEF/juhUBn3ovx+37o0qxI4XCbeIHNtPZ14h5I8BAoMi0JqpgG6ScAmZJJi9c2P4cPk0C36wBhRAtNoBaYWR9JmhMoHphkIfr0VGEZgaLUKjCYwGiMd8guWNBDwK0XehDTML4pLw0kiUF787+pSb4YvFkhpY1e0UiI7O8zI17hzthoiCkzC8+CfXaOVjhjIYdS5ofaBsUdYuYKAwPAmpCYgMA3ygbG1AqOhEYOID0wSgeG+4wfFYV79uG6owMgmpKoT2fGTYjBIUmD+kcBVh9awmk/nAxNGIelEdhEEBCaNAsMN/kPhLKsA7wNDAOQyUhh1oxWYMk7wLQchjNq/l83gR1TvRHY1+8C0HoHReWA0KkMlPjACgeGikIZiZZuQ/8DhfGAoZQoMS3BVLYHh/Rb8dUGxD1jymPd54zJgwuaVHzdtFFLgA9NMibqaBJX4wPAKzDBNcqaQB4Ygm5HWmY1+f5o8U3HF4AkMS+0wTORUhMoHpoZnm9YHhlLgzbuBabtI5V40gdEY6Yj4wCRMBjy75wdF+TerXgWmzq6tXfJqptAD5DuVuzqUgviDR1SBqdLcww88bBLkyUclKythBZw8qFDX834JCIxWYKKIKDBJJiTufg+TCcmQJrahV2BGAYFJcw8bXbW8ngpM31rgdS95p6DAqDL7vnob8H8nV3eeJoM2IWlUBnnlktYHhp+U5Ynhiv3UlVkrgWy3H9wYuyvlwqhdKYy66omfHxBVkQ5p/QrsInBxTGZjBVjxSTfiA6MVmACyApOUB4Z/ZsOkwAhOvIQgl5WdeBts4hmpTrxmpjITUqOrltfTifeOrwUfBR+YW78c3fed/8S0p/UWPZrAaKTH6/8G7jxb3JbU6Xlyww+KKtLz9n21ta0kJdQb7Ird1XF5J145CqkeCowiWVbaVe26t4HeVdyxyiswQKjAvLKiL3ru0Q5ZgSl0A9d8DHjyd9F9+fs2XD4wEE1IOWuIw6hHmhOvTwocGOgq+O93mmfbaAWmnmHU7z0TfLQp1+53KsgmrAmMxojG348H1rwubksbRu0kKDCA6HtQDeSVy0BX/K6OGzhKhqajGp14XYUznKDApCQwFZ6f+vcyuI5alaSRCP9erOjx+13XUmDJ48A931PsyxOYYYpC4px4f5M7C5YpTaTD5MRLKcUFd76Cax5/t7Hnrzf8d/PRRRuxZKP/TCtQYIp2g96leiowHNlyqp3WWzD/jyYwGrWhEifevnXAOw/GTAw1OpDJRCpBgXG5du291WTv57VO/Kpr4geENKtaSqMEscx9cR3fhESZL4/OAxOBfy/6SykGaN6Ju5bKwDWAmTcvKn0Oj1v7RglMo5WhGCfel5ZvxNInb8Ed/7y9seevN/x3843V/aF5JSWBeWbxemz3g7twxUPv1L9dymKO1RKYcCp3UE45inkPWnDM0E68GrUhbRi1UwCuPADoWQHs9aXovrWG8MlEqhRPGChHNqaOawdQrD0PDD+psIGAvzdpCMzC64HbzxK3lTMhSVFIwQA9TOpBU4Kywp0pTAJ0+E1IzMG8G+2gAMwmUWCcdYtwVfbX/l/nNLYN9YTLTEgm936kMyF99xavMOxFd7+Orxy8dX3bpRo7q/U/MipQYOLGuBYkMFqB0agNSWHHshNvzwrv86t3RPet1WFOHgwSJnDHCffddOIYb3fmzFsPBSYgMNyxZB8dFR77bcWnpY7kxFvJCnO0ICB5KfqYQLqH14nXBQGlFEQmscMRRk0p2vpXhLtU6ys2HGB+YsRCkWWpTanARO59XduleI7VPltBgal2Wm+hZ+pDExiN2lCND4xqUKjVB0ZWYBIGAsrt+/l9t8B+W03C3Fnj/S+rVWC48ysJTD/KwswoNlbmxBuEUI60SJIawO6RnWa4awIfGNZvXEZlMm3i9w1XYBRqIaUgZijYl+wWchL379crKys0IRGzsZlRVP1rKBSYOGgFRmPUIcEHZs3GvvAPp0xuk1oJjPzyPXdtLBlxONWoI5/DDWfsi723muIdph55YKpVYKqIemCTM/HNDCVtQoqgZ8Dre26a4a4pFBhGYPz3xMqJOzS8lIBiEqWOYMoqFFsoVwyXYt9mBD/NPTQsGA1VYFQmpHo48Y4eHxhNYDRqQ4ICs3hNT/hHuSicWkMW5cHgvaeBt9Sh2VSIGPJeAcMInXirIjGOwgeGP08aBUZlRktZy6Qjl8GtZ+0fFnLTJqQA3T6BSecDw93vYSKBhCkw1FBz8EY7Fysd0l0Q7h0tFVoo1DogMAaKFTnxGo3Nrq9qwzCakKo2nw8jNIHRqA0Jnd4iMZl4lSakOkchAcCql2N25fb1SYPp/0/gVmffL6vApBjwlQQmWapnDsnEMJG1DE4i1yYkBlcysyVCIDDD68TrgoDWM1dIWqjeadcR7l+p2HoExuEVmFQmJGPofWCG0YS0qivFIqvJoAmMRjrEmYoSTEh8Vd2y6fHr7QMDeEnhVLsq0v4bVhYAkIEDuyoCU8YHJs3KylAEBZb5HVs1EdNCzjJCHxhtQgrA7pGQ4CsOgglpmBUY7j1ZicnhDo1W15T1cxxBmbRb1oRUWRQSATAGDZrYlQSmDmHUtFwUknrzsvV96i+aGJrAaKRD3IsVp8A4JUwb5AhEo514VUrFwr8BPSsjm12XS2Lnt4URGAsOSk4VUmo5BSalzT163DLOkr4/j2GYyJpm6AOjFZgQrhhqnoimCKP2C40iNCF9NX9huMNwKDDUFUyvdgspMNQfu2xqclFIKd4Pw8JepWfwcv5L+K51ff0bVlcfmLBvpzKVqqBNSBojFnEvfNwE+4/TscnAovDv5Qu4LxuhwMS8fKteiWxiZhfKtcPMeI6SGdgoOdUoMLwPDGUn4r5PEbWhugflBhV/wjUMyzchDZEPTPcK4NHfeEXkagWlsblH6gFaCYFpAideRmAcjsBssDbBnc6+Q9QuldnKERJAlhqtwKx4EehfX5dDuYzA8ApMGnXNMHF6/58BAGda/6xLW8SGqcKoaycwqZzVVYeAJjAaIxWxCkzMxPzKreLfK19KPn4jFBhASbxcRyzkCIQKTBY27IYoMNWakMr5wLAoJANZywgUGNpoE9L/nQw8cAFw00m1H+vOrwMXbgZsXF77sRQITEiqlansJdsEYdQGFctcAIBpEC5EvtEKjILAUDfI+gwAdiMrVr+3APjDgcDv96vL4ahTvQnJaOSk3iAfmPLpAnQUksZoQ0x68WqKBjqqAbLWRHZx7VARGComfwMQ5GCx4KBYLwJT8WpeNXEk31/if2/6TrwsCok2UNEAACz7r/f/ksdqP9Zz13r96+k/1H4sFZIS2UXyBw0/gYEcRg3AMo3Qh2eYTEj8eZ1GmpBeutn7vzdq/q0KgROvgWIleZKM4SAw1UYhhX1bGNcmbhXdNzYTr05kpzFSIb/wU3bw/i8zwargKifXBkQhATGhit6+lPfF8QlMhlRrQqqDE6/qvpRz4mU+MJaFrGkMXSbeWhUzFRrV5oDAKPqYfH/5ZzZceWAo84EhgeNsxiSVmT9qwLpeBTlxHUGBcUoNVGB6VpTfpxL4z7gEq/w95N9jMxNEhDUEqkVXHUxINkycXfRLkoydXvanjzi7eIfQCozGiAUbzHPjgO8uBfY+3fu7CgWmVFAldatxoKhEgQlMSNyK3AxNSI1x4k1xn1QZUMv9jvOByZgkWGHSRk++bRPrf8wGOR6HPjAqBUaayAQFZnjDqJ2gqABgGYRLUtjYdt39koJASE68TqmBCp/C8b4mcApM2UR2gxvDz9kxQWHNhqCOJiQq5YEpIOt/Ub79/3Vnp9632VAxgXnkkUdw1FFHYcaMGSCE4Lbbbiv7m4cffhh77LEH8vk8ttpqK1x55ZXC9/PnzwchJPJvcLB1PN1HPNiLZWWB/LhQsqxCdjSpYvCo9eWJU2AUtnpX4cQLgzMh2VW0RZXIrmIFRlWDJrktzIRkmF7dFoOVI2h0FFL7pPofs0GkK9EHJqLANEEYdWBCCodnyxw6B21HmcjOEfyq3DR5japF35q6Ho4ECkyKKCSewBhWg01IiudYZZ97vzu8Ho/4hok5oxDHbEaMG6o2NQgVE5i+vj7MmTMHl19+ear93333XXzsYx/DgQceiOeffx7f+9738PWvfx233HKLsF9nZydWrFgh/Mvn85U2T6NRYC+8r1QEPisq4lCG1GRcVaryGgeKOKVCkcKfrchdEvWBycQoMGt6CnjpvY2R7eH5uYHn5VuAZU9XHkZdlQLjncP069QQKxNtTyOQ7aj/MRvVZmZCUuXHSPKBqcI8Wg8Q//3xTEjeNlGBaeyztVTWXNcRFZhG+ljV+b4zAuNQE4O+MuEWY3K78ASGug02IdVPgZEJjJtIYKRTMgLTggqMIuwhGUcccQSOOOKI1PtfeeWVmDVrFi6++GIAwI477ogFCxbgV7/6FY455phgP0IIpk2blvq4hUIBhUK4Yu3u7k79W40qwFZ9bIXPFBjVBFsmQsEg0UHBdasN/mMHiBn0itHkTGwgpoITL0tkp/aB2etn9wMA/vX1D2CnGeOSz//q7d6/07hSBikmHdcpRu9BOSdeN3TiBQBiZgEHII1WYBoxuddTWVjyhEci9/865wOjIjAJPjDDFYUE5mQeZuK1TGPIopAMFYGhrnA/1H5s9UJ9s98SGiowvfAKY9JCj3pnnsCABv5IDUEdfWAMw2C+33CpAZf596VQyMOopdYjMA33gXnyySdx6KGHCtsOO+wwLFiwAKVS+LB6e3ux+eabY7PNNsORRx6J559/PvG4F154IcaNGxf8mzlzZkPar+HDnxDXDwJf+suC0CFSNZHFDQ5Jh3dqnBDjJtRib2STm0hgkhPZPbUoJjeFMqeDo/4cg54+hW9QmUmUrZoMkxGYIVJgGjGw15N0XXMEcP+PgJdvDkxIrqreVpIJqQr/rnrA4HxgGDIGGbIoJFOxwPDCqMNnThvpA1PP9P2uG7wjDkz0UU/VN9+6B1j0cHR/SYERTEgDXfUlj3XMxGtIKRiC5aAyokx8vqECMwpMSJVi5cqVmDp1qrBt6tSpsG0ba9d6SbB22GEHzJ8/H3fccQduuOEG5PN5HHDAAXjrrbdijztv3jxs3Lgx+Lds2bKGXseoh6+qrOyjuP+1VXh9lS/BKhWYFJWX5Z/YNU64sSYkhVQcRCHxBMYbADLETgyjduNecsWkYg+GqmAayd22q/ENYgSGmZA8IkbcUmPDIuMSB9Z0zAaQrhUvBG1NRWDc4VdgwlICYSI7y+RMSI1WYGIS2VEa3g8al1ahLqgjgeEIqQ0DfeDcEm46Mbp/EoG5aHPgjwfXr211JDCEqxROSFhBS1WgcV2f+Ozs0WRCqgZyQSwWGsi277vvvth3332D7w844ADsvvvuuOyyy3DppZcqj5nL5ZDL5ZTfaTQA/ovFqrkW3AQbaxVJrhqmwCjaQrkJIgBvQqrGiVcxGBV71wcvWKlUKpvg26BOdOyuwInX+99TYAioR9TMBr3izW5CYij0hPdQRWDk62gCBYb5XVDOA8MyuBD5hvvAqBUY8O9oIxPZ1VOB4fqUDStQYLzzKNbvvHpMadQHJqZAbFWoow+MaYTX4hkevb8LJRuyJ+nitX3gXfCZ0qcz8Sowbdo0rFwphsWtXr0almVh0iR1JINhGNhrr70SFRiNIYb/YjE7fKBeVOEDo4Jda8RHbBh1dFIMfGCEPDC8CSk6gM8kq3Bj9sfYdM0j6c/f3xV8JCkmHRMqm3g5AuMXc/QlZCOT4X7bwJW6YB6r08DXiPYWurHNyn8BAKgi07ErK39N4MTLVv0u5RPZkSAKqdHRmWofGNGJlwyVAlOrisi9dw4M9Pk+MACAXGd0f/6ZUxr4IzUESh+Y6sZBwvXtm/732MCJ9901UXO+K72vYZFTbUKKYL/99sN9990nbLv33nux5557IsMPthwopVi4cCGmTy+fhEdjiMAIDMv0muTlXpUCU2sYdVxRyeiKJnTi5fPAJEch/TLzR+xjvI4jXjxbfR7FwOMObODOWX5gsvyJ6/ulU/nGJv6GBFFIzAeGUyUb6cgrDPR1IjCNUGDeuDv4SBUKzEBB6qtNUEpAVQvJMsIyES8uXYPr/rsE1z25uCHnV5qQJCdeowozcWrwC4taVTCuzSVY6OX1CCWBcYXPRkPNsPUzITGj0V2zvokp48YkRiHJi6lAgWlBE1LFBKa3txcLFy7EwoULAXhh0gsXLsTSpUsBeL4pX/ziF4P9zzzzTCxZsgTnnnsuXnvtNVx99dW46qqr8K1vfSvY54ILLsA999yDRYsWYeHChTjttNOwcOFCnHnmmTVenkbd4L9YTIEJHAxVq1RVOHAZ2LWakGIVGIUJSaXAGCGBUfnAbIINkW3ieRRKz0BX4vcymALzgDMXOOlO/yDJ98UIEtl5k5tpcSpDI00g0kBf/XG4CaIRhIufaBXlKvplAlOh43XdUOwHFj8OuE4waXqLBO+zV6jTa//G3gGcd9vLOO/2V/DjO1/Fgb94EOt666eIKJ14pTBqUsU7nh48galVmeUip0DQz5uQcmOj+3N92XWdlgmjZiromI4xMA0SmMfVZFQ8rz2a8sAsWLAAc+fOxdy5cwEA5557LubOnYsf/vCHAIAVK1YEZAYAttxyS/z73//GQw89hN122w0/+clPcOmllwoh1F1dXTjjjDOw44474tBDD8Xy5cvxyCOPYO+99671+jTqBf/FYplei44/yChLwlc+mLqN8oFREQtWLI9fkfsmJIu4KCkcisu+3IrB6L+vvhOeM8VAnPEJjAMztM+XU2ACJ17vWjIWb0JqpPxdLwIzdE6zeRK9HwODdVJg+tYBl+4O/OfC6hp321eA+R8DHr8k6GsuDMydNQEA0J4NCxFaCNt19ePvYtn6Afzx0UXRY1aJ2DBq7t4MnQJTHwJToiYAIiowmbbo/lx/XLa+r7EmJOWihlb33rKaaH5CS6aQxzlk82D9qqEh4w1CxR5+Bx98cDABqDB//vzItoMOOgjPPfdc7G9++9vf4re//W2lTdEYSkg+MFc9sRQHZqEmDo/+JtUh/+PMwSHmCwAa6AOjcuINzhWthQSo06QrB4Iy57f7NyKwUpW7PtcN8uPYMLhMx+lMSCwKKWuZsKkBi7iVDf7vP++pUNN2Trd/vUxIQhvrm/9DRhuJ9oU+mcBUS8yeuBRY/w7w8P8DDpnn1bUyLMBIuUZ89Tbv/4cuhAHPtLHbrIn4+jG7AvAIzDrffGspJlXXrd/q2YwxIfEKjDlUPjC1EhifJLBJegB5DNAs2khRnU2ae+bregexuaHoA66b/rkmIan8iaEgV0mQTMnMf0qVSZhI52VjutIHr8mhayFppINEYAITkuzA2bsGWPxo8OcTzmz14SjBRfbxwd9Dq8AowmoFAhP9TTUKTJZbKdNyDqrc721YoQJTZjUmKzA5y0g276kw2O2Fh155QPrVX72cXYfQz6SNRJ/BYEEiq9UqMLz0X+wDfrUNMP/jFbbQOw7raycdsCUmdnjKYBunwGQUSpIc6VkLDKKatB3hmRvOEJV5qZMPDF9G4v+xcUf1TnLjWeyipV7O5nH9qxo/GDdUYAAEPjCqcYtIJqQCWBmV4aq+Xj00gdFIB2ZComV8YJY8FnzcaE3BT+0vKA9XRAav01m4zv6Id5hGlRJIcOIVFZhs6PhWjHrul50eFINaDty5yw3EAoExcP0z7wHwwiBjQWkwyJqBAmOE4eFpB//+teHntINnIxSYeobPKpCHoi/I11utDwy/7+LHvHwiS59I/3suioQ9Uz6ypCNrBU68KgWmnndOrcA4kgLTSALDnb9mE5LXZp7AJFZs5/py7KKlXs7m9SQwUkmRZB8Y8X0tUOb/NzzFS2uBJjAa6SA58cZOkhuXBx8tWlQX0BOO4w29tNaVVmwUkkLq9ldZQlSKYaIr60W9je19N/ITonJsFI6pUGCInfh93O8dmPj7Au8+rulJ8DXgnSoZgTGrUGB4pCUj9XLiFZ57owmMorCnbNqr1ienlntQGhAIDFPVCOeM0pY1g3dGuVKu462L84HZ961fB3+abgNNSG6VKpjyWMyEFE51zI9v5YaeSOHWDX0hMYst5NgoBSZQXasnMEyJ3X+bKQCAtkz0YRrSuMAUmIw2IWmMWEhOvEFhPHmS5BQPyy2q688AKEhESM5NUDFqzQMDYE3bVgCAcb3vRH5Tzflz/IqmzEDscFl4bZjBfUushsvde8v09s9lOAJTgzNgWQgmpBr8LxplQlIkKctRxaQr949qE9nRGu7HL7cRIvdMRmA4gt2W4UxISgWmTgzGKWFC8f3odi6rNABYjVRg6hnKzgo58gqMn/fkzffX44qHxHf9/ldXBJ9j72i9qpTL/ctgleRrUWC8a9t3a4/AqEKjZQWPEeOsVmA0RixifWDEl3mAS7Jl0UIsgQkS4gUKTK15YCrPxEultnXnPAWmo7Am8ptqfGB4AlMukV2Jcxz2ivglRBEEO3I+Cb4C47g0uOfd/VVMMmkn7bopMNx9qWfiOAWJGDDaI9scud/Jvj3vPgK8dmeK89VwD6R6XSQwIYX90zQIp8CofGCqP72Au76DnTY8CAB41Akduvs3iu9Exm0ggamjAnPxPa8CCM1Gm4zNcdFcDh54fZWwP2+yVYaTA41TYPxIyGpCqRlRsfxxwDBYdt0oZGddtijNwK6rM/hQQBMYjXSQTEhBZVxpwnvotXD1ZsIVTEhdtCP4XPTtrrmMT2RqdtbzVZUZuwMAemib0G4eAVmSE5sZlvg9B4HAqFbYSife9ASG1UEq+uGeTJkyExWY8Du28lrdE5LGgWL1K7lYrHnTW43z97WWZ1dPc0FwHBeqrKI3jj0lsi3S7/jrd4rAX44CbvwC0Lu6zDm541TCJhR9iYWzEilvDVMOGuoDs+Cq4OPLdEtsHL8TAGDDWjGbutVIE1IdQ+sfecNrt01NfPWQrfHhHTcJJ2wSPTZPWmIXD43ygWFlP6q5Zi6MGuCKu/rjB6UUBdvfRyJmLDlpNiYHVjNDE5h6g1Lg+b8Cq18b7pbUFykVmA094mrSoTyBGRN8LsLCgdtOxoQxXl4GWuvq2/993/jtsfPgn/G54nlCu1X7yiakINGZ5KVPOWfZ2GMqBjXeB4aUuT7bj3xiUndYnyRhRcQd0/Tl51XdgwH5KRRTruRoSqfJ9xcCv9sLuGSOuAqtlwJTr5IEinv9iLML3s/Mwh3OfuKuMoHh/+ZJS7nEbYIiVcEqVrGvSoEBwJmQFHmKGuA+5ILg3fWeD9amC/6f8F2mRXxgGNmzYcIyDLRnrURTnMW9b/EKTL2Idj0VGN+Z309kyWojse2nX7sAO//oHqzrLcCksgLjjR1Z2CjareUHowlMvfHKP4Dbvwr8ft/y+7YSfFMMi0KKKyyX5QaF5XSS4DzXhVCBKcFCoeQGNZVqNSGx5HN3vLgSvWjHIJg9WWVCYgRGXOGyFa8rTcgRVbWkcKwt4wNTToFhPjDsvjLn5kQFho8KsbzfdeYzwTEKaRUYYcWbMIC9eY/3/8B6yfRTJyfeGknsQMHGXS++j145twtC4v310tek08sKDPf3Rq7Cvarwn/C7Ku+B4ncqH5jtpo4No5BUYdT10GBKIklzYUTMrAyWyp8oDV66GXj19uR96ugDs7XhKcI2TGQtAx05K6gppVKyDI60bIZVke8B1EeBcR1EVMIafGAImALj+84ZogJz/2urUXIo/vniikhyPqZIGYSiqEgh0czQBKbeeO/Z4W5BYxCYkESFIEJguMH15OJ3BOe5bt6EhAy6B0vBIF0rgWGTNVMfAhOXajBgk6Y0KRH/b+LKBIaK0VSq1bhioJ1CNobHpmV8YGxv1cXuq5vKiZc3IXnX++Ojd4LrO1gX0yowaUlEXPKuuikwtRGYty//JLa4+TDM+/vTke/iouEi/Y5vAxdRV1ZViWt7ud8p7p0RRCGF93ubTcbgJ5/2sp/XXYHpWeU5pvasEDZTINaHrSoFpn89cMtpwE1fBF69A+haqt6vjgrMhRnPJDaDrEXOMtCWMQWfDxl8JW5V2L3XpnoQGMV1mdURGEppEATRnvVUnNAHRux/Bolm3A3GSgDFwhDl96kTNIGpN4apgm3DEUQheS9ZmEtBfBFZkq1flT6Dt+hmggLTCzG75NreYkAaas0D4zrMBOMTGF8pUhaWZLVm5FW1wciUVOzMpeJAUOyLnr/MQFuuUBpLnicrMIkmJF6B8W3eW00ZE8jI6RWYlJE3cSpE3QhMbZPVLj2PYkdjKY5b/IPIdyWYykk+YroU7kUFZjL++w2L43830AWsXxT/PULfKUMijHO38CJL1FFIVeL954Ffbwdc98mIsujVYlY/c2VEVzkUuEimm04ELt5FvZ+qP/asAv70IeDZv6Q+HZ8xvpMMIGsZyJgk1pfIdtzkvEsMdVFgEghMhQRpoOQEpGRsm1fM1TAZgRH7FyEk1okXAEqawIxytGA9iVSI+MDEmZDEzJcu18W6aRgFQuBibW8hXNXXTGAc4XzBS+mWoqvgOAUmaIu4P6WSQ9/gRshQlR8Qjl3OB6YaE5J/TJt6A3Ow2b+u1HJwWgUmlsDUKRNvncj/B8xXItviFRjxnBt64wbwckoKd5y7v8OfQNzvl1sDl84NSI7K94v5XgiFOYHAyVxl+qgaC672/l/8aOT+uzSMhpORqYbApH3HeVWM9Y/HfgMsfxa48+upT+dItt+saQhFMWUF5qRrnkZ/IcU70ygCU6UJaX1fMSAquSyLQvJNSNJYRkg0Dwz/bpSKjSwRUX9oAlNvcANiyXHxqd8/jnn/eGkYG1QnSCYkm+WBkV5ENigwosO/HOsQlq9nw2KgwNRoPmAJyRzZhMS1nSEIo44QGEbK5IGciqacQjRTL5/HRYVyCoztm5ACAkMTMmky+Md0YMA0eALjF9xMS2BqVmBqyQPDn7sWJafM/YWlbKbc75asjT5bf8fk88d9H3ES9t+X9xYAAL52fXyNOBYSG8CMTzhmVxv+asdni3ZBwnxPctvgVD6Rp+0nKh+YKtQ5+Z7kMgaypsFFIYnX+/jb68rXPAPqZEJSvGdVmpC6+ktc9mYWhaQ2QRsKBQYgKPiKdamoFZjRDe7le+bd9Xh+aRdueDrG1ttKYAmhKPOBUSswbFAIfWVCArOBjg0PBwMn779FoMDU6gPDFBhHVmCAqCNvrALjm5CkyciRo5Cu/YRoBkD5iB8DbuIA7trs/lbgA+OGqpPFmxsM5gOTVoFJ6cTbaBNSTUpO8rWWaDofmN6BmBVo1T4wMffG8qLvHn59pfp7KBQYVjFd4btRPYHhJiyprRQkLK+hgsqZPQmpFRgFgcmPq+xc8BYePLKmiYwZKjCq+5j4vjE0mQlpfV8xVGr9d9QMnHgVPjCKawxcAzSBGeXgXtKsFd7eQouFp0XAzBXwZNhSQEyoMAFGFZjwHmzkopC23GILfP/jO4aTYq0mJCnjJnshAeCZd1aJCZoCBUac1ELZVXxW1FX4otx2VvDxvQ39eGHJWpTDtU8siv1OjkIKM/GWD6N2YMDiTEgsv02pjCokHyfyWcJAKaYttTy7ajPfyiiXZyelCWlALu4Y7FjOhJTi3vATn09gZB8FHhZXYBRAYGIwCY38rlRt/g7eR0yOvuPyETG85s7ifptisnvtTuCyPYEVL6bvJ3yfYD52uVC9TdtPbOme5CwDGc6ElK2WwNQjjJrzo3vE2QX41B+rDqPuGiiF45P/7odOvK7gC0QIiZiQgHDBuWjVhorOPdzQBKbe4F7SfCYcNHsGW6/SpwButV+0XUFZ4V9oZp8PM+1yBIaLQho/eVNkTCNW9ai8eaIC4yIsavjVa/+LO198n9/Z+z/OhBTxBaDRga0nXDm/uaonlV/Cj+98OfY7RmBY+8NMvEkKjPedCwKLL2DjX0dVPjAJk8Ozy6K+P15jm8CJNwWBcRQkg1dgKKUJTpwV+MDEbeedvzMegUkiqFZGVmDCv5kZaQbW4hDjeThVE5gkBSbqxPuEuxP6qecoilJ/+ePf+AVg3VvA/52UnqCqVLk8R2BkHzRKgXu+D7x4k7DZsSX/PMszIQ1SjyjkUYwQz1QmpHooMP3rAADv0cn4YmkefrJsF/TZhDW8okMVbTeqwLCEdqAoOVxyPoUJ6Qcf3xHtGe93a9+MRvA1MzSBqTdiTCEjhcCw1QuvrPADTqDAKCT75XRy+Mfk7QAARlDArDYCQzmCxeD4K9YssXHvK2FOBxqjwAROvFJbIiYkALBywUfboTBJ+fZflPkjsOhh5XchgZGceAlNWN1zJiSTex6+D4xtp+xzKRWYWBNSvZSTWkxIZQZ9L5GZwhzCtd2lCYSxHElLY0LiJ3zfITeRwJhypuhQkWGE+Yn813FN9pfYuusxVAUn3geGAhhAVti2z9ZTwhxLpQrMDYXedKYRSpV5ifp59W9AUgneug948nLgH6cLmx2pT+QsA1mLYA3Ge38TG2OpWONpyHxg+jzFdr1vVr/qsXfx9FLf/6pCBcZx3bDfMh8YLg+MzY1nKhPSlw7cCnnbuw+nrRETFjY7NIGpN7iXj/eC7xlsrQRBEfgTDSMIogITXpuswADAD0sn4XL7aLxCt8T3SqfhbmcvYK8veV8yH5gaI1ACExLndOgQ5vRoY3x7OPgzExGR4mpZPaGIlK4iMGY4sNsuTaXAHGM+5vnPqNofl2cHiCcwLmdC4p142T1Nu5JLqcCY8oQanLBOiexqcuItT2CyloGLj9tN/BnXdpfS+KivKvK5APBMJ1ce6E2yxf7I/kkTJjHUTrxA1H9jy554Z+BEJCgwLgi6OL81AMhmMhhkpMauwAeGEPUzkp+5fB/9d/WBVzlfIVmB6VOXeXAkpcQLozZQRAZrqOdTM9kVTb9GuarzQJ0UGEZgQmXJ5iMnK4Dt0rDd/pjG10Iqp8C0MjSBqTe4iZh3rOseaHEFhvOB8f7nCUx4zRYVfTk+NXdTXOschl/ZxwEArnc+jDNL3wgkdFIvBUYyIQEhgcmihAnt3EoyVoExhe+D3anCB4YjMCXHrXlQYHK3rMB4DUhe3bsxPjCpI7tS+qE0hsDUy4m3TKJAmHBcikN3moqflU5QnlNpKgz2qzIK6dpPACtfBP52LHDfecL+Xn6hhOMasgITNSExOCnmXSX4KCTZdAoD6yESmFw2g4HAhFQBgaFUrZLFOdgHf3u/6RngiZZ0sTH33pX8DpkJCQBW0IkAgEnuOmGfxOfBUMl1964Brv0k8Mqt4namwHD3N/ArrJAgOS7Xb/3xNCjqSF3BF4gQdWqG7ql7AwAGkIt818zQBKbe4F7AkaTA0MBJlvmYcBMmN3kwB7EiLEzqyOK30opXhkwaCraDFRsrjG5AOFlPGpvHzpt2Bm0APAWmPWfyO7OTC8cIVi3SQC4MEAzLFwAv/yP4XhXaGgvFAMiqUdvB/eUVmLhJVa3AhAQmrQLDHf/pP8QOoIY8oZZrX6pz1ykTb5lVq00tuJQib5n4k3Mk7nL2AiD6wLhuUt6dKn1geLzxb25/FyXHTTZZyMVGCYnNBVN1JDuvoiiikPj6ZQCQzWZRYApMkg/MgquBPxwkblM9I9kRWL6P7PnwfTSSfFD9zKImJBMZP7BiNR0PAJjgrBf2SWVCSuP7w3DvD4BF/wH+72Rx+4B3Xj4yMzF7eAJsh1OI/T5DgkR2VFhIu1StFq86+FcAEJv3p1mhCUy9IZmQ9iBvYEuyAj2F1lZgQoWDDaok9HPxJyFKaZBHwIaVKrRTJjCf/v0T2O/CB/Hy8hiH0bj2+W1oy2VxwDaer02Rq7JasvmChYzASAqMv2qRc7a4NOa1vtmrbmw7CaYHFbqWRTYV/QRSHXlPmRIITNzEHvj9EGQ4HxjKajrJdX7iwE8IL98CPHaxcrdYBaaK4nMB6ubEm3yt3WjH1z+0LQyf6IW1vEQFJt6EVOb5Vuh4CddBsRyBURFG3w9GzmEihwynb0c8gaQg2CATmEwGxTRKwT+/AaxYGH8uBlvqO5Hq4L65V/DTKmN2Cg6l8IExWZoF7z7Kpri6E5iN76m3+23j0z0UqG8irMQ0B8B2OQXY7zMW84UBFSLUHFft55UfPw0A0I7BysPjhxGawNQb3ItmdS/FLbkL8J/cNyNZIVsNsgIjfPa/e/D11TD8VVaJWija5Sd1EvjAePu+8r7nTHbr88tjf6Nsnz9ZE8MK1Ih+xzt2lthimCl7RlKqdjMmpJsmOXfCMxWq6qrEQlFgkuWRsTIZtGdNyYSUPKm6MAQCExCz1AqMNGm8/k/lbhGnUoarD0t3nnLnrrMJyaHhPfzWF4/BPltNCr9j0V68YppoQiqXB6ZCArPweth9G2PP54KoCxz5fjAn7DFN3L/q8SW+n7kg2CCZkEzT5HJAVfC8+lYDKxUJPcsqME50exKB4Z6T2omX+fAxtVU8VqqFSLECAhNHRoJ3N7z/ffAXL4MxyRTjTuFSdMAfUzJetnOmwBiEwubGYddxlCStfcy4IJnd0veW4tonF7dE6g9NYOoNTurMbXwn+Nz6BIat9k1886NeBJFckfpfL63gnHhNFH3SMGNcPva4RkwpgUrvF2sfMYyglPyAG5qQigKBYT4wkgkpUGCiq9ukmkS26ypzSsTCdSKDQ8kPeSb+BMUrMHEOzpRzXBZ8YIwafGAAoG+NcrdYE1ItcKWJqVolQaEG8HmHxszcVTwtROLMTl+1AlMpgXnpJrTf9XWQGKdROf9KAN+E1G7JZKNKkHilzwXBs+524ukNK1y4VEo4743WqIqod7EKTDQyKdyHu4dcP+Cd2M8ofgMZMyT6bOySq8TH+cB8ufP3gdkRpX7Yjoszrl2Ayx98S7l/gLhILTYGcQSG1YpzCr3Jx5Tg2jbaiU9gch7h5LM4lzglVlalGDrymcA0eNIfH8UPb38Fv/vPO8p9mwmawNQbvAmJu71VS7xNAjYYmKaF//nQNtht5vhIQce2jIksYdE0VkBCrj1tb3x8l+nYc/MJkeOyatTyBGFX6NTLJnliWGDuIEzqzqIkqEFhFJKUB4YpDNKz8nxgEgiMQ4PrllFQOMXdtGAptv/B3XhqUehAWPKz5hqmBQJxZebErIQcrnxCVqHAuKnzbkj79aqjOmhNJY/jzi0NqNX60ygIRB9tw5IP/x743PVA+0Rx90A9lKKQYsPhyykwlfu45d/+V2y/iiuiyJzH20zxd9ULMDyBkUpugKAbHfh44WfBNsM0Q/JXY/kPANFiq/LzT6PACPuH12D7E3eBWrjX3Sso5ghwBNZNZ0JamdsCb9CZ3h+lfjzy1hrc++oq/OreN+PbAlSkwPTT6hQYweST9Ui7wamlg8XwGuOKzuasMOcPUwWffKd8cs7hhiYw9YYQlslNQmn9EZoVbNI3LRBCsPmk9ogC05GzMAbeioOvPL3NJmPxu8/vju2niXI0wOdeiTrOVgT/94Zpoq/A7Mth7ZgCR2CCVbfkA2PGZOLl84OsNSZDhqzA3GgfHF6HInfK3558FwBw3u1hYrui78TLFBjBVBczUTh2jAmJ3dNqfGCA2Mm4IQ5+8oBa7aSo+J0NA/3bHAXs8PHo7v67yatbySakKvPAlMEPrL+qDxdLYLz+0WZICky1DIbvn6rK7VJbDNMKy13E+f1UsliTzhnJHs2ej6zUCftwf3MKTFgfzcTFx+2GjpwVmJBYReq+gYKQqTaOwORMg0vgN5DKPO7tm1wclE/02eubkJavWoPFa6MV7+Ng2J5i48IIMjybnHm8UFKrUjwIIXBZEjz/HWgFo4EmMPUGPyDyPUB2VqsWTgm4+gjg/HHAG3fV55gpwCswAJC3zIgPTJtFMAbeaqCXtkWOYSoSiQUERho47ArjQkMTkoWNA94LyyKDLs1chhueXoqbFnjOs4EcHaPAyDIypTSoEHx3LurvUXIosvDO+bHCz/Er+zPBd64ihT0bJHknZ9sfZNj95clCnDOu7YTZe0UCw/LZVBGFlLTbkBCYKh15FaQrQuw4hH03rRNvmfNXmRvkUPNZ5fZyJqQ2qwEKjGTOYWZTRyAw4XsfuyirxKlb8gfrH1SblAQTUpyfDCD0H0ZgKDHwybmbAkCgVPI+UOffEVYvVxGYhzb/OrKWEYYYF/tgcGokTSJs5RQYbpHb5ysw761cjeP++GT8MSWYvlNx0WwP/Kb4xJaDXHbppNxQrM+xd6AV3B40gak3YhQYuHUiMO88CCx9wvt8w+fqc8w08AcNwy8wl88YEQWm0ywGCZV60IbvHL6DcIivHrINpo/L4+wPbxtsY5E/hjRx1aLAdPV7k8lc420AQJY4MODi2ze/6J2TPSPZiddXYOQMtg43wfc5UnIxv61MgVlHO9GP0OdHVTAumBgEAuP1D8Oy/AR7JOg/caYgljvGi0Kqow9M7H4NGNBifB4qP47CiReGeF/40/hk7JXlXRgs+f5dbkIUSr19YMrAjct67CswOcMR1KKq88AkKDDszvEExjStMJll3GQYo+Sk2bd/UJ0XRoxCki6WJ0wKBYYng5bkA2MRB395cknwvcoH5pXNjkeOJzClAcHnrJCkxpTxgRGdeL1FXwcZxKru9PfQLHlqTdEIF428v1qBMyElpVaQC8i2gtuDJjD1hhDVwL10aQvrlUPERlxbArjU8K+LOYflM2aY9db/biy8lUCJmvjmEXNw5kFbCYeY2pnHE9/9EL7xUc4x0PQlTyren1KlTryBD4wZKDA8pmF9EJ0UZ0JidmMTFPe+Emb+dDkH4AEnqqjYth2EtRZhoZ/ze8nS6EDEVji8ysSyhhpmJjJxxK10mY2fwhCyCgeh6dX6wMQgcaVZLepmQoojMMkKjElcPPym57ScmMiurA9MfU3ENKb4JFNg8oYY+Vb1ZMP1GzdCYLxjujEKjNKEZBdjs00rIRHWglxBXRFGHXkfhHIIvLlETv0A5KUoJBMupnaG76uKwFqZDLKWIdSA4k00jAAHuOf7wPwjPTJVRoERnXi9sbADlVWENm1/3DXbwzZzPjBFO0rqlE0KqnT7900rMKMQgrd82FlIvRQYU6xNgt6V6v3qDBIoMP4K0IoqMFbJs8X2og2TxuYiqfqBaPp+VlPIcsWX1qmQmBF/AjFNC/tsOTHy/SxjNaZ25oVrIZICw1K3G8TFBXe+Gmxf3ROGTfa64sTSM1hC/0A4SBWREezaqgHRUCgwwQBtZFBwxNVZnAkpUGBiMgrXpMCoJsQaC24qIROPrqXVHUcxMDswlQTmH2ftH9xbAhqYFWrKA1OP+jj84eKGZv9Z50yRwFRNLrk+sn6j6Dy683TPZ00wIRllFJhXbwfef76C84f3tWewhL88/Ir0PXPi5dSmJALDKTAOK39CRAXmse8cgmP23ByAR2BmTggnfvn5O5Qgl/F8Z4ISCqUB4X4PlqS+8eTlwOJHY+ue8dcjKDC+2X0MGVCa2+Ng2Z4CU7LC6+AVmIHBlAqM9oHR4AdkyqsutST74mFJUS0blqj3qzc4ggAAuQyfD8L33/AJTA9tw6bjoz4wKmRynte8Kd2fSn1gwCkwZx2yDX589E7C1wcZLwT1kAgbfKSJf3yHd28NrgDaknV9OOMvzwT79Nnib3a94F7c9N+3g7+Z43ASDD/ShfeBMZi/imEGDoJsoogzIdmcjV88AfOBqUGBUSTrGhIF5rpP1ec4APqRE6OzfOw+awJ2nenlhDHhBlXjXZeXz6UJpN55YMog1oTkk+6cKWbjrdqExJu8S6ICs9OMsbjutL0FMkUMM+hvSmJdYRI2/r6dfM0zeOEdKf8TK1jK9VFbJk68cqQIo5bJ4GYT2tHZ7iu/cIIq5e1ZM5IuwauhZSJr8gu2klBfSFBgeF8oI2F6pey/cB9WODOHImaMj089IcNyPAJjm9yYy/Wfjf3h/XESKtRHTEgtwGA0gak3+A7MO+7WyYl31XopQ23/OvWOdQbxJ1jLCk1IQUVqfxAyS94KrhftQtKwJGTz3ktnueLgWb0PjIV8xsQX99sC19sfCr7+inUndnB9osEmdmmSyGY88mHCxYa+EiiluGPh+8Kg1ieZkCiFEIFUipP+OYQ+MNHQbr7eTaDAxEyOTswAzULT5RwXsVARnaIiCqLGgpupzt1fZeim4lpfc2chY6lXsmzRbICCMlMJp8D0y+HvQ+wDEyGlDIECAzF5YrUmLO7+U2kR0T1QwoHbTsFj3/1IuNGwkgmMUZ7AC6e//0fAei8q79klG9BBJPOJ/47wpiVHrrIeY0IKfGDkkgxAmLEWbjBRq0qG2DCDBHh89ma+vtAAT2AGu8PPVvwijpm8eQWm4C9+ppBuuBUwUuLPOa7BqfNc/+kaCMfWuLEECO+TycYn7QMzCiG8TOFnox4Ss13E1DtOELfJlVkbBX8AN1VOvCxCyVdg2saMS33YXN6TPS1aFFb4Fb88rLovZ/u9LP9lvObOCv6eU3jO39c7NpETsxG2AqEoOi56CjbW9BYEAqNSWFgEkpcKvLz0G/jAcCTNZAOLyRMYFikRk+zMURMxFk1FU5rhSvKEAABFRTKtRoxn9fIdefmWyKbX6OawYlbBhYDAuMFqmicw0aJ2ZS6+0lICZaCKXgMQTLwGdYT6W0bVzs+8n564iJg9o9P7wPcvwwwmOqU/hVxBuwzI2jc9fxEfEf8P18ZA0REc63nyEGm34MTLSIKiD/jt5BUYL+O2lAPKr2KetQw4XOkU3kdPUGAGu8LPCaS3UAod8BmKNBxbzi/9Ova3EbCxg7/3vALTF94fO0GBYcVtmUKsFZhRgrteWoHr/rsEa3oKsfbYukQh9ayIbuNfmAaCreYty5c5LZMr/24L/7sVrMJy7Z4JKUsLwoT+0BvqbLCx7aOiiQsAbjrrg1gzcffg7wGaEfYlsp2ZsMgErx3reotY21sQBrWCisD4SewKSDd4K31gwJLrqRSYGBOSrTYhkQpNSL39iogHVTbQRigw9VIuXvlHZNN6OjY2CqnIBC9QlJjJjnPiZSGtAZpMgZnRmcXsaeEK30wbMh85EZ9DRewHY7OGcM7gc6DAKM5ZTR/pDusFjSGSCYp6xV2FiKtEBYb39/CVCaUCwwiMG5irHUqDKMrgcCBoy5jIWWaorrp20GcAyQdmoEvdLgksuRxVKDAA8FH38djfymALFUp4AhMet4t7v5OceKM+MJrAjApcdPfrOO+2l7F4XZ9Q24NwHZhUmSdChKJD8S9MA8FCjy1OgQnLv3vXyZxGqWrAiEFbm6fAZGgpYjZ6Z036lNqBE68VvsQzJ7bjgzttHvzNVtVBqCSRCIe/Wmfj9vq+Atb0FITBs6ggKcyExKszNIHEEYUCYzCSYlrY23dCDnxgYgadMM+F2omX1OLEq1BgqvaB6V0N3HI6sESR26LOEz+PgtGmdCQHQnJowg3qZLkU8QrMEPjA/MP5QHi6WB8Y79lmiIs/f35OuLkeBCYS/kyFcwIACIHrvzfKfllJoUP+TJRiP+MVnGreLW5/6g+YdNvxONm6N2ym1K/7+jlzpxONQqJKBYaZS5xgoo4rGdKe9VQYPu8Vnyl80I5RYPgx3xIJ8YCCwKTxn1OCqfvScxokvnm+J/Qrig19R3ifgjwwmsCMDrRlvRf6M1c+icEB7gVuRBSSDNmE5LrA6tfrm7ODW5lafhRS3jJRoqICQ2Mm1CS0tY8BAIwjfbDfuFf47tnFGypoIzMhSQSDa0s/9dSjuER27O+Mn6Z9bW8R/UWx+Bkv8zIwExJPblwrof4TS2THSeEGQgLzpxP3xJVf2J0jMOrVP4vGiCMwNGXUkLL+iyKXR9UE5t/fAl66Cbjm8Oh3kYm/wmR5L90MXDpX+RWfF0PG3ltNAeCZkFidLMcNV+AV+cBQWpcopN/Yx4aHLGNCAnXFiBu7iFXdCeG3694BVr4c3c6TAVkxCJzdxfck8IFROn9XFgIc/MyhuCH7M8w2xKAEUujGuOWPCNtsqbRGdzfnd8L7wLD6bSoySEIfGMeloJQqi7ZSEOSzphh16diCE28hzoTEOTQHEUzsN75Pj8oHJtyQcgHHnoNkvnuzYw8AwHZ9C8KNCapQYEIKnHjTnX44oQlMHdCR5ULWOAJTdwVGMWD0bpScHu+ZB/x+H+DRX9V+PsV5M5nQibfEJmx2nYEtthICE4b+jblZTMz38vvp/XtUJiQAgrpQcP3uzshOxAfGr53EmZAohbAqU5qQmALDkRtqlicwvOBkcE6849ozOHzn6UHtoTjHOzcmCsmQKnyXg9mvMNep+mu1YdS+k6YScp/ersLK1recBqxfpPyqlEBgxrUzNY4qfWAiJqQkH5g6hZcHPhYob0KC6wiTtQUHx//pv/EHv2x34MoDgF7pWXPvB0mjwHBtUGZ1rVKBKcaQdBWYbwulFEXbRYYLAHC5yM+gAG2SCYk4cGn4LqrC6NuzXhSSw5uQ4px4+UrV3OKyqyS2IfSBCZ9zRN3tXRVttwJE5QMDoLvdV5/71wfbaEIlbSqZkHQemFGCNo7AsNU4AGESIPVw4lVMKitXSZ38qSu9/x/8ae3nY+AmUKbA5DJGhMCEJqT0jny5fEfsd2t7y2ejvPOF93HKNU8Hqy3TlAYrbnJhMnsY8aNWYCyDEZgCKMRV2XIq1kIicJEjUQUGmXgCoxokg7YJUUhspase3O04J96Ymk5xGPvcldGNjuLeV6vAJBFa1rfa/ai1Cp1Ak1AyE0L5g4iL0IREE01ICRNsncxgNjccx6qYgQLjAIsfCzZbsLFoTUz9HP65rXhB+o6LhJOfuSrdACFB25Q1ujgT+lvupur2KJC6thAA139Xvnr9c9j75/cLSkehGF5DoAir1Cy/n+Vgw3FpMFnLTrwUQLufB6YUQ2B4NUZQ4jjzfpGK/doJHIx5xVFSH2OqwkcQjGdSYk6L1YIL++fzcpg6fxjunQC0D8yoQTtHYHLgSQsfhVRBeu04KOS/qm3flYDyCgxnQgokVe+a31zhmXxoBQqMbBvmwUoCJOFrNzyP/7yxBiWpllAA7iVkKxWWByaiwAT+BT6B6fMio/hBbR3ECCsLrtoHJuG6VHZ2k6umzVAuD0wQJSArMIzE1aIBK/paWkUngjg1AQgnf9MnDJWcQ7GavNfZI/icTGDCiLMSZ0Ji5rSoCSmhHXXxbxNX46kUmHt/EGzmI5Ii4O+pnPhSqCMkX0ecAuMrfEoFxiMT77jT8QfnyOj3MaiEwDCn1X+/tBJd/SX09YYJ+AYHQwLFlEvlvfTfsyPN/+KLxb/DpRQzsBa7Ge9Edm2TfGAGi0X8/N+vB98LOav4e8KZk6KGUT/yKcFkmqSW8IhTYAwzTAvB0IGEeSh4JzSBGVVoz4YheRbhVzR1NiEpjhGv7NSx8J5CgckLCkwJNz2zDD39/uBRgQ8Mq+2iQhoCExwGLMxbOt7Y6cFHlssGMZl4g1U5YT4w3ssemHxAcPqBWwo/MeAqfWCSiJkqXX1gQuLuBxvclPk2nFJgQiKyAkNEU1ki4kiOKm9R1enqkxQY/9r86LaKwqoVOZB4hcxJIjBGOFgXuSikQIGhw6HAhPcpzvlYUGA4WEkEhr+nPRKB4U1I8vgSk/AxsdaWT2DudPeLqA5JkAmMTeOnJtdxBX+sHDcpCwTGSTIhhcf/ku0RmIdy34jsRkHQLvnAMDPVjmQJvmb+A7TEKV8xCgyRoptYf9p984mYOdGrG3fdaXuL11kawMb+Eo7+3eP486NqM6nfIP+axPvNxkK+Hlu7nGeHb5J/n/Yy3sCPrWvQ5qQPohgu1E+vHcVgJiTBfAQx94tRDydeBVmJTVaWtOqt+LzlfWD++OQiHOwP/hUpMAlQ1TSKgxEQGKlL7/Ul4N7ve98FCoy3L5HNFf49GzewDP9j3orn+r7kbeZWS5/bexYOf+z/4e7cdwF4E0elCoy6vEB0EGK5QCL5XIp9wGV7YC4Lq5cmu0CBSUVgYu5xPRWYRBMSI25MgamAwCgipQqcs6ST4IckKjBRH5hBUoEPTJ0IDJ+yX6XSeV9w9cc22wt4z8sSnUhg+Hvau1r6jlcoY5x4pefHJjq1E69HYAZoLhwfUkD2gUmqfE5dG88t7Qr+ztKw3bwJKQi3TvCBCc5HvaKvkXOBIJ8xhTwwpn+v78rNAwA8tWQW+vf+Pp5ZvAEHlLhljKDAyATG+7uzPYtHz/gQVHCLfbjqsUV4YVkXXljWhWP32Azj27OR/QJTsRlHYMJ7256owHjXd6rlRYLlKQVQZWbsIYJWYOqAdj8VeU4iMAK5qEfCLsWkEuvnkERg3n7ASx4V4/wYATdxZTgfmCJlznxFOC5XR6ZCP4bVbV7Rx25DNM909acnfYECI/vAZPLo285/CZmfCRiBkVPwh39/K/N/gWmBL2q39ZQxOPojBwvnZcR1TEfokFyYe6r3YdZ+kbYqCQyrNcUNQrFOvIseEnMCxTjxpiIwcVEJqu0NUGBYro6A/FXyniiyBfNO1pZMZhVtMokYRs2ejZETfbPiCmp6P2wEgYkBH4XE+ZskmpAEM1F88cxYlTii8LH3XqUMehNkEZagKCXBhhlRYJJMKwNFG8dc8UTwd5aro1YocASGXY+KQEtjVLzDKoFpEKGUgAVHiNwb07cM/3P98zjp6qfx2Bvce8ll5Y2882wRlfBuuMUB9BfDe3z8n54C4JU3ufvlFYEKRRTmZ+8SfQLDEbMkAiOb2rak78fu2yzQBKYOYD4wUQLD/a2aTFwHuPZo4Pb/SXeiSnxgkgjMXz/tFRu75UvpzusPel5hM/9arVCBcUoFEIQrk0h+lTK4bxcv6ySrSM2qRvcVndS2cRb+qpq0mC3YYIN3oMCobfsMXnhlOPiwQXWHGROCfUw4mD7G9wkwQrODM/sY4MuPAifeGm2PwoQU3DtuEGKJAmlkYhEHdznPBRvIlOHRMrhjf6v0ZRTHbOZvVxGban1g4iejNRs9O/+rq31HzEoUmEJPZNMyTAs+Z62Ed8B/1oTPA8ORcDM/Rth940ACmeZIwW2bfatss+PgCCakmJ14HxguZNkiCSSKv6fyuMCbkOJ8YIjoaEpZlJuKuPnbSrBSKzA2LBQj2aDj+8zqjaJvSIYjMMVCdQpMXIoAduleKQE/SodQbEZCB9s1xiQ8+LqnbL28jDNrcgph5J2nMYsoDm5xEAaXbPO1FR4hOuiXD+HMvz6HB17zzhnnA2MFCgxHYBJMSDLRSzV+DDM0gakDWB4YlpGVQSgfoBqYlz/nraafvy7d6lbhNFcVgWFICm/l4a/SWGEzgJUS8AmMXQIhoVRJk4qYKWDkvZTlbXQABC7GtYWr6IFi8oQ2BV042FgYTDyW7MQLBH4lBrVBKQ1MSEaMDwyD43p1cgKnNpb8jFN5TNCAuNokbLdpGsD0XYFM1A9DSWDYKoprv+MTouVrpHw4kfw10p9scqa0fO4Wn6g4lOBm5yD0Tt9P2C6g2rDKBBNSt+83FSgnlTgeKxSYNzr2xC9Kx+FLxW8KzvVxbTL5PDCcCcmW/GfiKoJ7P/Sefx/N4Ub3o+nbL+Fnx+wWfI41IfE+MFzYM1NgHn5TEbnCKzAyM+IVmDgTkoTEauf+NgeGMumjCjbJBE74aSAm0KPIcCakIleQkpm4lCZt7l0vwUxUYAD4Trzhb8Yh7HsvLA7NcoIZqsATGLUJyUgg926xP/H7hcu6vENxdeB4WBnP3CQQGF+BuQUfAnb7AnAql3srQvS0E++oQJwCIxAY1cDMScCpIhlUCkwtPjBpczawEgEwgtTsWdMQFBiDEJj+y2vTdNIxQ8Zf7Ro+GchxK+dy2SBvzp6P+dlfYDrxch1EnHgRvtgZOEKkCZHJjmzrd0peHhjCFBgWZk1Q4uzhOX/1W+IJjFymgD+N7NCHUIExOCfe9g7PjPHmcinXT0wCvvDP0EG1LOfw+1TwLFkGYYUTb9tgurwUESTI5FuuewgAF2Zaow/M+DFt+L1zNO5398CYXJIJifOBsflaOF7fkHPIJNaFCSbt2ny/ttmkM2xenALBKzBc+DCbpP7n+ueivxHUX0m949MMyApMnAkyIDDxCowDI/U4YMNCsSQeK8kHhi+CmoUtLAhKxbDfujZLTaBSYMJtgzRb9j0REtlBLODaAe458ASmGCqEUUJaXoGhpQEkDCPI+JXWmQJjSOqzqVJg/FpT77mTgU/+Dpi1T3g++T1tfv6iCUw9sPkkPx2+ZIcuq8Dw2+SMuq/9E7j3PJH4KE1IVfjAMNgJciIPGiowlk9gCCFBunynVAQhXAKkCgfyXI6b+OEiYxnBQrFcMqXNDdEpMWNFz004W7DtcgqM/MJK9yzjDPj1cfwJzm+UaZAg5HV/4xXs5ngZTkuc/wUbXFRQra4NhSOewXLJyM9JmmhkExILDzdAyyejcsQIKoeRMLmv9a7Bzsv+Jmz639IZyccOGhTTH7qWwfSvJVihVhRGHSUwk8aExCOZwIRZR4ssWoVTYGQC4yT5ufjf2X5t62rB991I1AoDu5f964Q8IWySasso7nWCXxHvQ2dExpc4s0qSAsPMzWZ6Hxhi4sFXJX+LBOWB90fKQ2wzT2CCtPllTEgDyMeGDDOzsVf7jUuXwantYzCAnchimHCQRZwCI/brMBu41LYP/yg8d2lAyDcjI6i0zhQYyYSUyUYVGFbte6MjFytFJC9WrArYRNAEpg7Yb2svCZcpERhCyxAYXnX51TZeum+GGz8PPHGpWKROMYjGFnFrQBSSCwKT6+T9jvf5nZXrUXJoYEKyK+xWuWw48RugMA0C0x/AEidghQlBrcCwhE4igSEyyZAGk6w7ANvlTUi+AmOS4Bp/m70C+9pPe83hJPMkAjOHvIPzrfmYgg3B9YUKDBeF5EfmRCYWidDIIbesGrWnwKQzIZUiBEZy9lu+ADLGZFKG6sf1RS4Mup345+MmxXfX9uHt1VE/lwCKVOuTOkPi0Z5IYLy2G6CBn5XjuIE6ZktRZMkKDFMdzJoqePA+O7F3lt3Lxy8WNrNkZRM7olEqwrjBE0RJFU6bbJOyiTLBhGTDEJySk1CiFm58erF4jgQFxnUc33GeRlRvu8QpMDG+Id4JwmvvRw6/uPuNxDbKCgyfHO5z1kP4V+57+Ff2e4EaC0DygVGbkCIKzIHn4k/0aG+X0gD6JBM6bxLOMgXGnwPksU/lA9Pmm5AieY6gUqo0gRkVyFkm7j/3g0K4GgCYvE1ZZUKSnRAf+DHQtVTcttGr1Lqut4Ab/xtNshQfhVTHPDD+JFeEFTjYAqGT6Zvvb0DRdoNJOCmHgwr5TPjiEbjIGEZggkk0IW1YEtmU5MRrwYbtuMHKwizjxJt1B2A7nALDfGAM9eBcSJn34gvWAzjZuhd3574brLDYyp9fRVFGYOQkiFK9mUgpAWYeIVQoGKlEnAlJNmnKaebHzcICY1euEQnniTMhcee41vZ9R/z+7LgUh/zqIXzkN4+gZzBmYlUoMBPHhNFDiaSD84Fh94ifHGQfmMQoJNZmZXxZevCkt2wUkgQ2SXW2RQm8sHjiCYykdkVNSIqrISSc6JIUGJipCUwRGUUNonjkS+vxUu5LuDrzS4FIAIDN+8A4LDpHcc+4RcAAzeKW596L7sOfM2MKZq0sogvHHYxl+Ay9R3kOuWcEZmzFOF0k3ntPiwO4/ilxPihwQQ0B4VVEMAJAJusdR1BgfBNSf6RUBiJETyswowjbbDI2qsDwpQRU0rg8AL96G3DxLmKFab9znn/nq3hpadRBz1S8SN4J6/ho/SJwRWQEp7IiWOZaGwXbCV6UtAMXQ5tkQjINEhIYJ+Elks1uANqzijwJfpI0NlmFYYdygi6x3Tl3AHAK+F3mEgCiD4zKTDaoKPSYhEmkB7ZfSM5Q+OUwAmPKzpUR05+kwHA+MGlNSKwwp80iyGTVh+vL/x1/JHD2CxgwwrDxRAITZ+f3r+Mtd1Osh+//4U+KvHT+fleMqVNRKybHqS6FpAg2zgeGER3eUdeVcsgkKlmBCcmsvuAlEPiXAUl5YGIIjO97MUmpwPDjEndcafFjUInA7PrZ6LGyY1M78SqrQCtQhBEpr5GkwOze8x/kSAkfMhciI0VfOZzvVuDsqyIwpdBvJY1i7Pnlhb5vcs6vcpCfJ+snkWzgAEo+genii1QCmD4uLwQ1WIboAyMrMCxrusklV2VKZxoFpjY6PjTQBKaOkBUYlPOBias22sUpC/6A8NaqnshqA6jWhFSBOlMaBG71fB0MUEGBYav2DGwUbDd0gKzQibdNMiFlTM6ElDQhcE6MDO1tCgITmJBsFG03zPUh54yRJoecO4CPOw9iR2MZANEHRkXSBuMUmE9eCUzeDm8bW0a+Ktmun3+EKTBhG6jlr6Bkc46shsTUQuIn51hw6hoA2MS/f7ITL0doKCGAYQRKj781/hxxfdG/jgIywf3c2O9t4wlMfzGmjyui6ExuFZkYgs/5wDAFxuUWGXIW37hyDv6X/u9JbSYkXoGJe0VjFBjmfzdBRWDiVBfpmnK2Nx79Z+LngG+/C0zeNvzyiF8Ac78AbP2h2GzAKPQAS738LA6MREdcHgOOic5sBWMSd5PlMZEnMKzUgYokqNSRNbQzslvgA+P7FrF+qlJgkhDnAyNn0QY4BaYUHd/6ucKR59/xCt5e3RP4z8kEZtwY5pvJZeL1FZg+RBUYWcFpBWgCU0fIuRh4m7Iqi6k9mCJVs8+uZ9jL8KPMdZGvqyIw2fgCihFwKkcWJSG6ZlLnGH+7jf6iU7UPTD5jwqHMJ8HFZLoefyI/wRWZ3yZL95HquYCpKk3gT2oWHAyWnGC1F1FgxkwV/sy5A9jcXRb8zQYzK47AuDEDwG7HA//zDN7FjMhXJcdTSdggKtjEfRXApLICIw1sciZeI5ycy0VxySYkZhaMKjDhvWYRMkIYepLzLU8M+fbYYQg1m+xWdnl+TXx9mbhQero+alLlTYiJFY5JVKXiyZ4j+cA4ScfinNxrWbPyPjCxZRBiFJjxVgl7ktdBbYUywBMVGq/ABLsbFtA+Udy4z5eBo3/nEdc4Bea2s4KPNszUBMYFwWBRdkxPgFBGQIpe4q4/8IFRTcycXxB79/qof8/3OJlrh3cN+Yz3bNh7IqfMKIeomhHjAwMEwRGloji+lRwXAxyZLzouPnbJY4HyL2chNxW1kJgCYyjmgCjRE9t88C//g13OvwdvrEzwSxtiaAJTR8gKjFBKQDHAv7gozu7Kvfj+IHHOwOXKPQ3q4NgrnsAPbntJHJySCEwlmXK5F92FIRCYMz+0PQCPGHiZeL22tucUq8AEtGXNwEHWAMUX+/+CffESjjCfAVWYiQIoVigYOy26jSkwxMFAyQnk3MgLm8kDp9wd/GnQEqbS0NGUSeJxCky5chEzJ0YHjZJL4VKqblNqBUY2IXnHIKkUGN+E5JvEbnjON8tEzsldm38+wsd4JpqQuGvifWsYgaGZ4PkHUUCcz9hrcQNmj2hCciiBZZk45YAtQAhw9oe3Vf+Oa5PoAxNvQoqUc+DBpRmglGJN507x+yaA94EZyE5U7xSjwGSdPtyc+zE+vPKq6JcpfWAClKtlFjjxSr9/7Y7gowtDaaZQHg40YkJKjmSMV2B4AkNjonMAALt9PvgYvHusDbt9ITwGS2TnP5vqFRjJByYuF5W3EQCweK23wJ3YkcV3rRvwa/vn6B8Ux5ii44Y5sOQABiNMHwEAczYbFygw3zpqbvS0EgGS29wzaKNncAiKB1eAignMI488gqOOOgozZswAIQS33XZb2d88/PDD2GOPPZDP57HVVlvhyiuvjOxzyy23YPbs2cjlcpg9ezZuvTWawbTZIfvAlAuj7ulNr8C0U3XOFoPaWLBkA/7636XixJZEYCrxjxH8LUQTUi7nrViYPZgVstxzqynpjw8v9JMnMHMKzwbfOaoVpbJtPpQ5H0Jv/K7+UugwK5uQAGDz/dA3Y38AgOmWMAU8gWEKTFgXhUe7m7wy2XbauMi2ks0UGMWAxggMlcmE5MQrv8bM1FWFAsMX6GToL9qCIsMGfEH+TqvAcO/Exl5PbSkgA4eGigiAoD4RAPzkn6/iXy9yKdoBgNKIA7sDA5ZB8MMjZ+Pl8w/DzptG73eAvPfdFLKRU2DCa3Az7cLuTiKBERWYu+dcFr9vAgQCk5us3kl+dw84R/jz4PU3xrYPgEg0Y8xiSblJAK6PJuTssWFiGZ2KW5wPRL885W5g52ODP024MIh4f39JvxjfgAQTEnWiJiSies/bJ6Jwwu0AOPMtC11XjI/M2ZZFIsnRT+WhJjAqE1Iuw4oDe/t0YBBnWnfiIDwHsuqlyP4W1CYkRmDYvLTNJmMxMePdk7lbbxY5jikpVfICiBH9pBxXQ42KjV59fX2YM2cOTjnlFBxzzDFl93/33XfxsY99DKeffjr++te/4vHHH8dZZ52FKVOmBL9/8skncdxxx+EnP/kJPvWpT+HWW2/FZz/7WTz22GPYZ599ypyhcaCUYkDhZxEHQgroF5xc7eDvIi2hX0ocZ6Mk7B+g1Beuqp0CUOpHEY56X+ICpACAoL/QFf6OGPGJ6gwz3K9cMruB9cG+BVCU6GB4HVYOIASW0Q+QImziX69JYKdNkgeAGC76iAGHEBhGATaKwbUOFHoi9y1AoRsgBAvdrbGKjsdf7Y/iOtW+BAAh+JD5FO7euBFTiIt+QuBQR9nOQdMEIQQuGYTDPaN+gyBf6keJDqJEjMjzyNKNAPEGUGWbDRJRS3oKfWjLOyj6bSrREhz/t4OmiX5C4PL3HPCcv/l+Rqj4PXUBQlAiLnoL/egvJYWie8fqJSZAihgAvOuyB4FSP/74yCJcfP9b+NM2S3CAf84SbPSX+kENrv+W+hBfaoCG7S1sDD6/9v5K7EoIekgGJeL17xJx0V/qR2+hP7iXBC4uefBlHLIjR0hcN3IvB2HBJQUM2AMgBtBfSlDEJm4JEILpxgrYTi/6S/0YtPuC63ENV3i+/c5gfD/039d+QrB4/Qacd38JEzJz8SFzYfz5VXfJHYDtn3NDdnzM+bh72TkT2OMk4IlLgm97zXaMkX/HjyfUDt95fjuHgtyfJBQNin5CMOhKYxp3rBJxAFLEd+2TcYT1uHiAGXM8IsvGRuLCkMbOt+gUHFK8EP/KfS9y/gEC9PuLiYzRL/yu4BaCNhVcbxwpEvX7WEIJDiEoEgqQonfdhABuMWjbACHhb0kRvcRAOyGRsb4cbCB4rwFg0H/fi8SOtG3i+Bz6+wls/x5ujUXBudYN9AXvRXAd/rsDQqXx3HtH2HEscwD9TsG7NsX8UDKIeC8JxYbB3iC3kEsHAeLATH/ZDQehNbjNE0Jw66234pOf/GTsPt/5zndwxx134LXXXgu2nXnmmXjhhRfw5JNPAgCOO+44dHd346677gr2OfzwwzFhwgTccMMNyuMWCgWhcFd3dzdmzpyJjRs3orMz6oxVDfpL/djn+uEjUBoaGhoaGs2EfxzxELbdZFJdj9nd3Y1x48ZVPH833AfmySefxKGHHipsO+yww7BgwYKg/kXcPk888QTicOGFF2LcuHHBv5kzZ9a/8RoaGhoaGhoBWtqEVClWrlyJqVPF6I6pU6fCtm2sXbsW06dPj91n5cqVscedN28ezj333OBvpsDUE21WG5464al0Oy97Grjuk8KmtbQTk4kXy39n29E46htXCN8/fdlJ2Lvnvuixjr8BuOF47/PuJwGHX4j3fz4HM+DlgbnaPhyX25/Ec/kz/fOMxUJ3O3zoK5fA+KNvc26bCHzjZXVbL98H6Paja+YtBwjBi8s34v5XV+Gsg7cJPO4BAG/fD9zk2aM30nYsO+VZ7DzDl/L71gKXeMnMdh68Cn+b8CfMGfgvcMRFwNwTy90xAd0/2xqdZAAfL/wcd+bOg+HbbV868k7ssuse6h89/Avg8YvxN/tD+Jl9Iu46+8CgrIMASoELNwUAXLHlZdj/nd9ijrEIOPYaYLvDIrsP3PgltL3zb/ys9HkcbT6GnQ0vrH2NNQ1Tvv0cNg6UsPbX+2Frw0t/3mVNxvhvv4jdLrgviHx59cfR4+K2rwCv3i5smj14DQDgjuz3sY3xPvD5m4HNPR+clf/5A6Y9eQEeIXvgg/PuDH/0j9OB1/8V/Pnc5E9g9zM4v7IXbwT++Q084uyCzc68BVtNESsrC/jvFcCDP8H9zu74eulr+KDxAq7MXgxMn4O/bH8FLvIzlH7HugEnWV7htxcnHIZdv3INjvvdQ7hx4wnecb75BpAbqz7HHV8DXr7F+3zWU8B47z198i/fw37L5+Pv9sH4P+dg3JI7H6vpeGzy/Vfx6opufP6Kh/F8/ssAgAcyH8SH//fvwSFpoQfk19sLp9lAO7DwmMdxyA6bxF8vh4GL90Zb/3s4vvB9vEC3wVj04am8Vxn+4j3vxzkLPhLe0l3Pw65HfkV5nMGX/4X8Hadjobs1Tij+AADwA+s6nGA9mKodAb73Pmb/0EuE9r2P7YAv7Lt5dJ/Hfgs88kvv87RdgC/8A/hV6Kz8Vm4nbPtNbkxxisDNpwHvPOD9vdOngaP9gIDu94HL94yc4uHNzsBBXzw/tpkP3/J7HPTGT/Fm+x7Y7hyuX/48jLI7rvADvES3BgC8mj8FAPDK1KOx02n+GPj3zwOL/gMAWOxOxdmlr+L23A+D33/R+iUW9E7CX7IXYS9DzJK7DuMwCZ5z/49LJ+KHXHTm/c7u2OnrN4MQ4M6L/wenW/+Gs+epMA/9afRClj8L/OUoLHU3weHFi/Bw7hxMIRuB0+4DrvISK64ikzF13osAgNk/vAe3Z3+AbY3lwJ6nAAuuib1HSvhjLQAsuugAbOW8ixcPuBy7HvRpYbdn7/4L9nhuHp52dsDJpe/g9LYH8A36VwDATbN+iPPfFNMxzM9chL3N1710DbM/EX6x8mXgal8Y+PAPge2OAK7YD8i0A//7dqR5G/95Hsa9GDqBv+HORPbMB7HlZC/4YJfz74XjUnR8MiZCbhgwJIHfcrZBZrXit6v2UWUpZMjlcsjl0nm5VwtCCNoziglRhVWvRiIxOqmNdt95K+cicqycC7RTCpcSqcCfIR4r044O6gTH6nfHwqZtaPf3mYVuzDIW4G/PLMPn2e+cktdR1RcWHt/IAFYWn7vSG0wsksd3j9gh2PXpRWuxt7+vTSk6Mu3hdYydHhynk5aw+dgc2vspYLXFnzsGBWqgHRQmNTGGCw3PUSP+Gbg2QCkozQM0ix2nxTg+Alif2wwTB5eh2F9CG/Xue1w7iZVHG6XIU+qd37/GvN8W17XRTUmwvZ+aaM+042ef3B3/e/OL+MZHtlO3mdJotA71IrbaKY20qSOTRzulyFGCjJHHr+99Ex/cdjL2d2zhOHmY4vmsNoBStFEgY7Ql9+E37gIoxcvOdgDNwqXeOeHYmNA2hmufG94HeO+FZYR9EGYu/plThO01M8F+mVIJ7dzza6cU4wzvPTFRwHT0BMd3abtwHaViARnpXvZRA+3Z9tTvrGtk0E4p8pQANAsDxfAarXZ8p/BVXJb1JvtMQj90/L5gUiu4X8F9rASZ9uD3Fsmrz2fmuHuZA3KdQl9w0SH+7qk/eouQACR8TkZGGT3WZmQT72Gb6V1bG3XF/fh2+M8UQHAfxtJSuL/rBPvPJiuxFdYJ9ytrdQA0h5MK52HxhP8BBjYE35VoCe3+eDmeFoXfdVAXJdvCut4icuwdjRuP/PdkEgbwYfISJtKCN8Zm2oO25cGN2zSLje4EtJP3gO6VyZF3CrhGLoj0yfttazOjz7nd8u8vKECzmJIx0V7wx+C+QnBfg/3hv5uZdvE6s2PCNr56B7Dt4d7fVl55P5yM2GfzlMJxvb5AKYXj+GHZCWVShhoNb8m0adMiSsrq1athWRYmTZqUuI+syjQ1+tdGNgke8qooDd+LvwDJe5zPwcEqjfIVV2EpC6X9/UmOVSdVtxbCWkWHsJeWdwl/3/D4m8Fn4tcpCmBm0E+8F2E86UWGRRJUEqbNmsGy3MoZOZ2EsD0/pf4gMrjqpOhKkodr+BNLqRDey5hoLJb4LgtHjB0gYR4YPlMoS+X/mT1n4rnzPoqzPxITvptUVI+diWuTEYRDO/jrf5fgyoffwQl/fioafRVTnZqkKebY6xXDXOB6akZQFdouCFmX27iieUEUkhCtQtFXiHlWMcnTqB+aXUAmyN/CIi9sl2IMV+V3DBUj9pj5mYcLA5kyETRCs0yvT7CcHvw7Zhom7nT3xz2O169eW9EdPYAPVjTQ5UpoDKCyVAKRtsV9wb+7Zi6IsGPoJ9LqeKUctcLngakujNrJeT4K7U54T95e3QuXhv1FFQadcaPjGsMfshcLf1sZdv9IpHSGkJiNRL/rHbSFfE+xxUT9/j2FdOOq7K8xlvj9jXuf5IzAK6jv+9G1DJXC4fp+Uhg1iwZi7f/krqGiWBqIRjoGpQLkcZfPidU+KcwfZakVlGgUElCwWaFT7nxNZEJqOIHZb7/9cN99opnk3nvvxZ577hmkOo7bZ//992908+oHBWHga1AoSwn4BGZQHuwEAuPXyqEigQFIpOYQn96aJhVmiwlrBYDBkst9dtBGxIlL7rxFv2pvOwohgSmXR0IBNlDIKbq3euZHXmVuFfwXcpBmseP0ZMcvVhgRTiHMbxAz2RGTVXG1hRDlsIaSSGBcEr74ymJ6wY7xZExFqlj+CkIp3l3LFa4spSMwqUoJ+INqUQqjpk4xGLwAoIOEZIJdOU9wbnl2GXb60T34vwWKgZ0Pt+UGcdPPNVOgmZB00bCUwFjunGOpOHCXFBFGfLX0NGClGlif439p+atM9pxfe78rtkyAY4fVqBkGaXXq8KbjvffpkO1jUhHw75aZifRhtqAI95fuhz+O2I6Ll9/bABVImfd3sN0LwZ1Y8hadj7y5Bh/5zcPC9fN5kl5zZwEAFk07PDzIoT9JPIeQ00SKBOUJzMnmveLv4KCnYMN2udwycdcTl05C2B7ev/OOnI2+vL+o3ijVrEsBPilnUAtJQa5YRlwDLn545Gxs0s4RqkjuK4pNSBf7oXyg8HP7pHDcYFXuJeSzIhkmoBgosgWFi93I29iDvAHDTh9h2mhUTGB6e3uxcOFCLFy4EIAXJr1w4UIsXeo90Hnz5uGLXwxj+M8880wsWbIE5557Ll577TVcffXVuOqqq/Ctb30r2Ofss8/Gvffei4suugivv/46LrroItx///0455xzaru6oYRicuIrk6qKLpJYAhPNH8MnemLqi7zK4Uu8E9eOlzj5QU0iXnzW0/V9RaFcvafAiF2Gcqt9i5RZ8SSAZe2U8zqMW/u8V5lbBS4VfTnHMsdXYJat3sANbDHdn1VxJaICExAYolZgykJJYFgSLYUCw6RaKlWVjigwRPm3CVo+DwxXfG9iRzYgMtQuCrWExoInMCzpXtjWn/7zFQDA/978ouIcfB6S8DNL/FeCBcql9ge8TLy8AjOWU2AKtoNSKXovXWoI9YTKwgirlHvnDu8Vk8lZvySgQm4aHixXkYvaFZgHvnkQnpz3oXi/JUGBKVM2AACgJjC/vPcNnH1DtMK4d47k/jw4xvMn63B7gYEu/N+zXkJON4bAHFM8Hx8v/AzvTf1QeJBN9/B8TWKQz8SPIRkS9qFOIk6mFnHwlb8+i5ITFpeNH49i+krM+3zaB7bEqYft7f2RlGAzBiKBib5DDBZXTT5jGcIi03BEAvNz6ypsRnz135JIM69e960BXr7Z30+twBiW2J8M0CChpONS/Cn7a9ySuwCZ7iUxVzj0qJjALFiwAHPnzsXcuV4mv3PPPRdz587FD3/oOWCtWLEiIDMAsOWWW+Lf//43HnroIey22274yU9+gksvvVTIIbP//vvj73//O6655hrsuuuumD9/Pm688cZhzQFTMZJMNoBSriX+wB4pAsgnpBvYALxxN3Ickchkczhx382D7KkMsnoxWIgpgse3xZEVmCQCg6BGUXAoLoNqYP6pwoTU2e6tCrIkwWQkw2+7Dats8W2XW22H5hr1wGYEJiQbnW3hoDAu7w8sBhHSpNO0ipOijxgJBMY0mQnJFSTccrWQgjo/JI0Cw+6hiX23mhiYVahTEAjMGE4NYW19eklXZJsScfV33FC5cJlq5O9744JlIoFxewC7iD8+8g62/8HdKN3+9chpHBhCMrhyCExIgQLj+9v4CfGA0OBCQAVFSjivEyayYxhImYU2wJcfBeBN3NPHJThJ8n1NNdHK44y8j09o//DwothnpqzezMHIdWAD9QlW9/tgaweetPD3oh95vEK3DFStAJn469xmSmU+dAxZ2BgsuXjxvY2cCSlmPEpQYH5ve86wl2ZOE78zq/e7VJuQoveaNyFlTSKMGxlHJGyCo3hWIr1jOReMdx4EFlztH0StwMgEiIAGJT0cl3IKdPP4wFQ80xx88MGJFVfnz58f2XbQQQfhueeeSzzusccei2OPPTZxn6ZGkskGUGet9DtxRIHhV9hv3Qu8dS/auQmamFn85JM7o2uh+PjkuiBruvowc5pikBAmFEmB4QjMur4icpwJyYALU1rhMvXBhFuTAtOWzQADlaXoptSjES5IhFjJYD4wOVIqq8Cw6tUWHG8F5POFrKAsV0FgFD4wJly4MECCLKDhcQMfGEph87V4IrWQ4n1gbn3+PfzrxRX4wcd3hKFSqbhKygYhyOXygAPAKaHg94U2DApkImgrR+IS777Q37jnG1QuNr2JmYYKzL9eXIEvmuFgvRlWAb/ZEZet/38A2jF91cOR01RKYJiCwZRLNkBTgCMw4b0s2C5UcVauo1BgaAUKzBYHAtN3Tb8/w+LHIpuI3MdiTEgGiRYYZFAWP+Qwvi0bjllOIXj2PIFxaPQ5RIIy4t6bGbvj9I8fgBX0dXxy7qbAXxObI4ApuHyF98pNSAS/sD+HK+xPYJOxkimvisUZgyvU02J+ZNE3x7K89u5iLEbPmkcATlk/Dbfjp/iMutK37JibHwfs+AmhxIN3gjgCI84VnuoYKjCqgrPDjeahUq2OcgqMIhU5CZx4xcGuuzc5JT2bjG3IBEZsw+ou9XFKNjeJJCgwG/qKkvNmVIFhRRgJKEzmpBf3giTBPy6r1ZGIDUuAJU8Gg7ELQ/DHUMFlkxVK4cAW8yIyJ17Ph4lPlx8Sd1qNAqMgsawtKlLFTEgGqFhZWVJgIunISfi7v/53Ka5+/F3c95pYNyhAkAbfq3OV9ctDELuAguNiDnkbL+ZOx3bG8vDw3H0In398qn2Hl7I5MkM48sQmGf44PGkCAPSvxYeN+IVQxQqMv+IMTUjeuSkMzgcG/ncUpe5VXsHCZc+I53WYGS48t1tuaOXq7VRU2qOXC3Yo+u/31h8ODyX3sZhj5zNmxGE+/Elyf95h+tjgWoulUvDuxZmQgqbLTt6q82wyGzj9QYxty+GXn5mDA7aJjyxUYSdjCf6e/Qmo64SlNeMUgwQF5lefmYO2sRNwyefmit+pisWmBF/RPFBelQpMuG3/p78aWWSOBSP2kpCgKtI7aZvotjjlS6HMiASGRto33NAEpl4oa0KK94GRo5Cufuj15EP5q4Ci9LtPm48Kf6/pVtdaWr2RkyFlHxiOwPQXHcGE9B6dHPE1sSnzt3BBmINZgjQcC9+mfEX2kjI7wss9c83hwIqFADwFRqkucGAOmwKBKRuFZIurRkGe57anXZEofGCCukyKNlms4CBxBf8Lp1jOByZUxRhWd8cQQ//5O9SEaRBMGe/J0MQtoVB0cH7mWsHnAOAipgCYvhqzjxHfZ5eu5Yi0IKMzBcYIlDxeFeCdeBn6EE+OHZhB0b1UiJiQPFASmpBcToEZ+8B3gIV/A676iHAYV+HEO5nE+Ehsugdw9gvAJ7h6SZWsaPnol3F+3qvP34wlu3/Ha2dKH5icZQhmaR7KGmEcpnXmA9K+sqsvOIWgwCiikDb0SedTEX9iRvtzhdjXeA1TuxbCYv22CifeY/fYDE9978PRelo1KDB8RXO2CDAUbbCkoop45s/Cnx0oYA/yBp7OfVXcTzYhAWrCFTc+KxWY0ITE3k1Swz2oNzSBqRfKmpBUCoxvQpLkZosmVzV2iF9unYid82DzBeHvvj61t7iwWk6IQrJdVyAwZ5TOjUQhMQJjgIbVoWOcxBJRxilO5ctBNnrOgw4MlIvsYz4wc423MIus9g+g7v4Gp8AQIT8Pp8Bwvy23Yg2gILkhgWGrxfBYLBqBmS+Ca5HrusjXYUTVjDgHVN6EZBKCmZPHB+cs2SWlIqbynbg8G1/AcEMvdwyq8oExg2vgVYEOxbmTCYyBjFXB5CcRGDGMWvSBMUCRWfcmVHBZGDU3nP7b2Qd9aEP/llJCQ0qBCVuIqkAlCsy0XcLPn/ub3zgjWD0TpDMh5TMm2ojkSxU0J7k/E0KC/l8s8gpMeC5bMbWsjxAYxbOq0r/iy8VzhL9LNq+0VugDwxy3Ve2rQYFxuL4fRCEpCLcczizj/ty3cEvugjD6iCGr8BsyFO2NG58lBcbzgQnTGoR+eqMojHrUoIwCo4pCMmKikPIxKyMGpsCU5PwxEkpF9XGE0vUJ7S45NBjkLiidiHfophGlIyAwxA2Lg1WjwJTBruffgxueVocuUpDy6a39yepI86lANYhdmbEwamKLk3WMAmOUGXACKHxgDLiYgi4vAyggOfGGqkQxWL1xpjrWkhgFhm97yVGYCygNCIUNT4GZNSVccfb396Md0UmOKAhMEkTCHI3M8xSY8FlQl/neRM9tK6qAMzgwKlJgmK8TMyEF9Q5JaIoKSQkFjcmb4iqceFdjAj6WvQa9R12h/I3YkAoUmH3OBA6/CPjac8D0OeEh2DEiTrwygfETtGVMwTzMI42PA2WRkI4dvAn8mQ7cLprDa9fNZDUjRoGpAu9RMftywebCqGPzwFRoWgLUhCAlXGUUkiJfjqzASOiIIZ5K071qbIpz4s3ICgxQcnkFJhpoMNxonpa0OhJyfAAAqBtxfmYDuLyqLFeqnR3FJuUIjLqjC5NyIoFxkffbwqIqZAVmSqfX6T+x67RQgWkAgekrOpj3j5dw6G8einzn0jQ+MIqXNu43vAlJIDC8AsM5sKaVVBUk1oSLW7kU6vzgQILQYoqSr8BkvOlePEjEB4ZTxXzYqmgkjlDZMGAYBG3t4bN74JX3IonC/AsBAGw2Id1zFpxFFSYkm5qCosXyqqgUApOoSQTgvTcZqwoTUuDEy45NlApMXCJCR+HECwDrCwZyachtJSakTB7Y90xg0tbSIZjDt3h/lndJz48zIakIIn+sJLh+33TskvLd2276BOHvi47ZBZ/be5a4k4qsrF9U9twqfP7AHYW/izYXRh1rQqosjBpAVQEKDC6ngvI5pWSYZQhMLJSKlsqEFBPhJSkzBtxg3OFNSJrAjESUUWAMuJFJhA02PVTsOGUVGH+tI5uQZNhyuC3XlgDvPgLAk9EvsK7BQUZohrIdN7CTMzOX/MKN9cOMP7fHDE6BqS4EMg0Wr+6KbHNSOPEqc2bEDUY+IbHgiPdKmBx4Z9uUA05MGHWQxwEQBwdOSWEKjBwqH/kN9zevtAlOwAyc+dDxTUi5TC7IqJqDrTTjMGL0j6+kSzQp3kOVD4wpKDC2b5JRKQRxkTMA8Fv7mAoVGOYX5Z0v8IEBCRQYPgqJKhzxgdA5U04sedL+WyDbNga3OB8o05Dah+EwYi1s49PvrsfDb8oZwkMFJk+qV2AYWXMcWzlv5nJZTB7jpy6wDBy316yog7Xquge7otuOvcZz7t3nzNj2nPABkcAUHMo58daRwKQ1Ie15WmQT78yelMguk3Y8SQNVeydsqd43YkLy3AgAwKFhGLUmMCMRZXxgDC4kjYHZq7sheo9bRL3SC+D3I7uMCclWZCsFJBPSQz8HAJxk3oOTrPvwl+xFgaNgyaHBIMfMXJEVAwvZtQfChjVAgWFQkTsXpKwPDJWTPAHxL6IZhlGLagf3mVRjQoqqdHtKhepUBIbADXKQqPxP4sJTiaDAqAhM2B5mQspnrSAbbwcZQJ6o+rV33E0600WbGUIYtcttDyOgeN8HlmVXZb6Ki5wBgJfcrSoLow5MSGK5DkoMdLb5Cf3YHAiqVNAAgCoUmOP3nolzPrIt2rImFn3g18ntqMOEQFj2Vq6NT7+7TvBL8RrrK3kmwY5EbZIlKRQYppi5HIHh+1s2k8Ffv7Q3Dtl+SjzRTatm7Pxp4KwnBZNZBNKY4ykww2hCap8U2eQK5D0+p4qVkMSvYqjUYd6PSjixZEIiFE+8sw6DJUebkEY8kmr2wCMNJVucfNjA3k1FxULORhuHciakOAKjmgRnkjXhH3/yMmaWHDeQmQMCE5fLocilum8ggVFFTrh+CHAiVANPrA9MaEISVvzcMfg8DKklX4UJ4mTrHqlN0egmvu8oFYiEUgIMSideicB05EzkMkYQFbcFUYdeJyatU+6v9oExaJgF+Lh9tw2USNNPuMVMSP8e82n1sSSswfjy/YBvl1RKgHdSHN/m184KFBgICpzLqanUCX15GPbbenIQiv2/h4XFUZWoiwITkl2GPz6yKFLLJ3DidQdxqnW38lhmGgWGmZAcR5nwO5/LYodpnbjmlL2jkTwMlfq7xI0rxIh8V7BryQNTBwXGiiq+fB4Y1tdUCoxVhaPw6i0/qf5CdayJ6RQYAHjojTX41v+9gMESp0ZrAjPCQKlXmj0BoiMm2+YNfB2dE4Xt5ZK5Mf8LmyQny/rc4vOidXOgngSEMajPi9KxXRr4wAwiC0IQDVdmnbnoh2wbmZo89ctBJXu7IImVywEEodHixpjub3BRSLx6wJmh+ARUtSgws8ni+DZxviys76ieHZFXcQonXrUJKSRUDgy0Zy3kMyY2Uk8R3J6EIbsnFL8XHr4GJ15XIDDe+c/60PY4avdZuNo5wtv++G8AhGrbKx37YSX1fCosOcqGQ6nCvJwkwwgMMyGFHi/j2r0+EKbsc2Fz+ZOWbQgjwVgUEu/Em4klUop7VxcCw+pmefd66bp+dA/aCgLjnb+Txkf9penPzOTn2qWgb/LXL9fViTlR+X14ZBR5TgBPZZBMxCXH5YocVp7ILhZp/d0UDrWOsIBJygOjbldScsT1O8SUW1Et3FT5YgBlGDUA/PPFFfjE5Y9zwQ/NQxuapyWtjBdvBPzCdJi1PzbuckpkF5UJiSkwRUuM308apIFwoLDLyJkTSquA16OFEFUraFVNDs+JV/SBif7QfwELPoFpkP8LmwSVkRMpXiglgYkb2PwB3CKSCYkb2HnSYFopCZuCwHTKuU7ifGBsKdw67jfC78L+xte4CsBKMVADAEF71kTeMrEBXn/c1PfNWTN2Rzzh7hwevlIFhiOBxVKUwMyc3AnLMHCd/VEAQN7pxQXWNUG0Bc20YRmdErkmhn9lj8C3Sl+uqE1A6HzNHIOJoMB4zzSshQQUuArYQli7PzHxJqRKlKBaHEOD8zEV0L/Xa/zQdVO+X/73Fo03eadKVMYIjOsE6t477gwAwEo6IbGWUXgMxT3a4cj4/VVhwqwt0rGKNqeeVlFKIBZpF2eKkgOiAuMnsFT0k7iggB7Ej61mJqZdyjwwcU680VIC4WeuH1UZKdYIaAJTDzz9p/DzQd+GOSaaPdKEKxAYl/PqtjMigUkyIT3hzMbLpuew5pQxIQFQvrzioEYA11U6wZYcF3kSmpCUFSQCBcY3IcWF6NUI1maVD0yaYooVKTBcKv4Ovn4At8rj75eVVoHZ+/Ty+yh9YGiQIVntA6POA8PvO6iq4+OKykFH1kI+Y6DLr3Mzxc8zQSODcTKBefKddcLfgjNx0fcX4aoFW5YFyyTo4+oHnWTdh7xvviyZ+SAxWmRCBvCncV/Dzc5BiW1SgWU6Dhwq2RfEI3PgthpwBTWuwOVLcm1WT4pLQhhXVFL1EtVhRZvNMB8Yr/7Vmh7v3pkxiyFTLkfBQbWYkRGakGwU/b7FrvinpS+gLRWBUezzmfnx+8cujqL31LXLlwypzgcmrQKjIDC+/xflHGKVEV8x51dlN2bIZOIWmIr2xhHmNjFyjD3Pz5gP4dHcOdwXOg/MyAIvX5qZYDDhYUgEpuSGTmZUkhuTChp+ofQ9FFzvsZWMFPVWJMdDIRzO2wEo9Sk7pe1QLow65lxsEGKJ6BqkwCQRmHQKjOJFLjOA7TpjrFj/iFO8hNV2Wh+YA78JbLpnmYaqFBgX/UUx3b34m7g8MOG+yqKOEoFpz5meCcl3KmeJsqis9JWpcH38n/4rnyj4VPT9stb0FoLJ1cpkYBkkkg+J+V8VST6orWPBjZQtyFUSOs3BMERSFN6v0CTJKzAqQui4FM8u9pQqnshWVPBu3GbVNF9AxlcBDeJisORgtU9g5CzKgQLjJhCYNCYk/95R2w4UGMNXshwYaMumIDCS38qGzCbJCkfc2KLIz+PYdhhyX3E16nqYkFQExlfqaNiXlBFfMe0dhz7ldgDIVKLAxIEQvL5VaD1gJOuXmT/GR0oOM5qnJa0MvpMYmWAw4WFI2VRLDg0HcGn/OAXGoQQuDPQXfefHMj4w3k7isQRnLIZCj1DfhqGYxoTEXnY/Ky46Z5RvUxUICIzCB4YixWBZhQKTt4g4OHLHcAXLUspBzTCBbT+avI9AYMIJdqASBYb5znBZhF0V6XDFGj4dvg8MU2Cmkg3eftJgHJfQLU6Z4U1ILMfLTc8sC0yl2WwWecuMFKgLCIyRD9powI2oMLkqozbY6jdwqGRf+PfzSx/YEuPavX5vEPG8TBHb0F8Mtpd4BSaNCen4vwO7Hgd84Nyq2s8jY4V9ZbDkYHV3jALDopCc0Dfuf0tnCLtUakIKzZve/y4I8lbl76SyQCGPOBOSom87DqfADIcJSXFOlshOLIyoOFfM+ZdIyfp4WHEEptLEexx5ijUVawIzwsB3atNSepbL9WxsxxUkdB5xPjDMSbG/4H3fTuNXUQHkUgFFO3TGYij0IK/I9+HapWAFF6mYzcCutcsPyezctHybUqA/L76siQpMitVuRT4w7AWlbiyB4QdbQipwHlXVK1Gdm/vMDyRKJ94UPjCpFJisiXzGCHxgpqDL209ykIzLh5KBgzHoj7SR/5vleOkaKHH9P6usZcX6aQm5gMBE/JKAyuof8e2STG1ylMUPjpyNo+Z46giB+BxYyQ2Xhqawin1gtj8C+PQfgVyZPpECTDUx4GLQdoPCiZGxhFKs7yti7YYuAMACdzs86e4k7FIulT0QOvE6js05mHv3h4KgLZvymZx4W/AxEvItI86JVzHRmjzRrWcUUhwh2OYj0n7hOVnfdbistuxK0xKYC5xTcK+7V2yzsnEmpApzyvBjSWy0oSYwIwz8AG9klBOjARd/+++S4O+SQ4MVsmlaOKjwG9zn7AEgXoEpMgLjr/5m2e+Wb5uUPK23EP49SHwJt9CDNqqIVuLs5LEEhnVmRmDqIIcDQG7iTLEtiT4w5ScLQ5XIrtwARl3RBMcdQ5iiK3HCLDdZxTjxBptk8glECRwRJ2YAUFUSkAlMxjKQt0xs9BWYHDNlmrICox7YZpLVeDn/Jdya/SEcl+Ll5Ru9wVqhwPQV7PLF9nwUSSZoowE3QpBymeqGMSIRPd6Jl9vJ/06twNhOSGBKboUKTD1BwvszUHSCZxTJm0Nd/PzfrwXqVj/NRaJbjDSEkPU51w5M46y/OTDSOfECwNaHBB/LEphYBSY0/TGYfD8ZikR2E8XMyHyfZgtPyhI3cj4wypB1eduYqbjOORQFGk9GGqHAxPq6aQIzwsB3auooB2QDFP/37HuB3FriFBhiGFhCp+ER10swlCmjwDAmvyS3Xfm2SQSmqy8kKv2GP5kWupVF+2B721xKIhWzA7BrLfg+MGOnl29TCsie+BYc5FHApdnfxbch6XhKE1KFCgzXJmGwrYTAqBSYrQ6Onpv7LBQZVCowah+YHOdImmRCYuTAcSkMg6CXjBX3k3JaxJmQjjKeBADMMRbhortfx5GXPYaf//u1IF0AANi+w2tvwS6faMxHCZlA3bBUJqQqfWCIpMCQQEFQqWDic2AExnuP/c9cJt6KopDqAc6fZ7DkBCZOy18M3efs7u9I8fbqXrRzzvkDEAlqOgXG28d1bNiOqGC5lRAY/pjlCIyVV5OcINtg2G4LToMUmJh7IznA8n2aZUxXmZBUxRwj7aUUU8bmhDB1Gdl6+MAAwrXHPg1NYEYY+A5XGlAOyOxlWrzOc8TiV27spWCD9DbG+8rTyB349kmn4Velz0T249Oyyyakjf1hdtPegMD0IMspG8usWV6zfDu5R15SrlbqIIcDiGQDNeDik+bj6dqggKEKdS6XB4K6on1dUGB4AlOBTJsbG902Y2703Fz7eF+WasOolSYk35zDHGR3nN4JAOizxDYSmcCojgUgwzmf//GRRQCAqx57VyAcLJ16X8Hm8nQk3D8zCxASRPh82nwUj+bOFnb53F5ef50zc3z8cVSQ7lNoAhF2CvYRCEywEAnfY1bYFFCQykYjKB9BUbCdgLAyBSbIkUNddOTMUIFBLqKupvKBMUIfGFYiJchkDJIuCkmCS8u8x4SgpPT7i5YMMOGE/j91zcQr9VWrDdjmo8Deoh8RPyewjOmBEy+X1dZKE4VEXfz5pD0T8xzFEpgKFRiSxgemDmH/9YImMPUAX3Nokx2VLwB7uVn4pReF5Icf+h0iKUwOiCbqKmQm4HLnU+ij4gpqwwl3oehX7aWSAtPNKTB9hBGYXqGzmr7UafgKTGwEEhDtzHWKQiJLnhD+tuDG2mRptQpMWR8YGu8Dw01WqoiDWEzYQvzbzCpVF699KX1gYhPZcaG+CQpMCRZu++oBGJPzTZSmmDmVpHTijfPd4re7fvROX4GfYBIIjB+hx8j9nsabmEh6hV323nIiHv7fg3HjGfvGH0cF/z61oYDrMj/H6da/AEhh+ZwCwxOxAq/A+NEuR82dFXyvTBzoHb2yNqYFV3ZisOQGz3tyu7edmZ9d10V71goIzADNQS5CmUaBYRM0dWzYkgnJBalKgSlrQkKZ5J1cPzLhhkp2I5145xwHfOHmaHI4bmxxg3vloOS4WN41wEUhKc4VGZcodpoxDl84YNvYZpE4olKhDwwfQaudeEcLWBHDj/7EkxIVE2OeZdx3eOmZmZB801DKx/HR2V6peiZTywNQfsoWuMX5oHceqSK1oMAQ76VzB7vFSdInMKbtXVes/4vXePHvRoVRExeDVP2SplntqhWYMqpSghOvkL/BiklxrsKU7YGjOTNYfhwEdUsxefITp2pQiVy/Ig9MkhOvAwOTOsJnPGh1ioeTCVoMgZlDFim385Ewjn/O3oId+mdwE8xvSseKP7ZyoDSqPsrYfFJH5ZOmf38PNF/GgebLOMr0wr8FBYLLhsw7v7OIQl5Jnb3p+OB7ZmIaMsgmJP/Wtpm+I7TvP1G0HYzJWZEaZy+5W3CHSq/AUNcJ+hYjzA5SlPZQIBWBSUodwSswxMUE0uP9oahLBCDh/U8Ko5bGEZb/Sh7z+erq/vjsujZO+NN/ceRlj4ER2YgDPhA1IfnK71ZTxye0K4aoyO094Gz1fj42nxyqr9qENFrgKxWYsLn3vyp5HKGYRVbBWPeO9xOHy8fCFJgyEuqmZB2u+Pzu+O1xuwEIHQVl23Fbvg2O/xIUCyKB6e4PTUU9vgJDCz3Cat2AAzz8C1y4zuvssSHUQLQzxznaVYqP/kT404Bb3pE4AUY9fGD2/3rwcfYMTqWotPbT3C+En3NjlWYj/jNPRNQ+MOrBs80Kj6siMEydc2AKjrDFjKjAGFJywjgn3v3MV5Xb+TazpG99RTsi8RsEuME5RPzxQBeO22tmhKTXBTEKnBACHDwb8ZoZQSkKC5Gwj23SKZG+/f7H+/8j51fd3EQQnsC4nAkpVNkAT6HJZ8wgUIApMz8shfk/0iRmJByBKbmiAvPDo3aO/V0S2nLlzR1pFZgcSpgAX6nrmKLev5qJWFZMiv7iVX4HO8JkpoFC7Nh4ZrGXmiCxMKJMoD57nX+KCpRwBn7ca58MfPTH8ceASKg6cxU6Pw8DNIGpB5gCw9QHRbKyLGw8kvsG5t7xEaDYJygwRkoTEgHFEbtMD6T+MPRUstpb+aCzFyUFpnP9C8HnHj9hGS10C5PkJu4a4D8/C/4u+MRB2W8jCkydCjnOOV7404ITcTZkWNdffrVrqMIM00Qhsfolp9wFbLp7sMsYfrCt5ZqzY1BOgSECuUzjAxOqBld83muzyoTkOGEG2Ry/6s6K1yPfuzgCEwfZB6ZgO1iyrj+iwNz+1Q/goB0kJ3C3hEN22ARTOhug7KUxIfiTj+xYr3LihWHghtP3xa8/Mwc7TBNVLBz2M2Dee8DWH6pL0yMIVDcvZxDjq5OKnj/dcupPqK4L16XBvWcZjnn1o5I8MNSx4QROvAlmkRSYOKZ8Fu9EBYYjEVNIFwxCvcVd+8SY/esw/bEacPLgOH0O8OEfAcdcFdxjvhZSYmFEnoyccBMw0w+fTjK1xiow3Pa4+xBzbjlhJBBV+4cbzdWaVkXJDzdmGXWnzgam7ybs0g4uZ0vfWthcKnWYbBBJfhxvThZzDTAFJsIrzAyIbzIpSRWpj3r3p8Hnbp/AYLAnPuYfoQ/MlpMVeRgiPjBxuRoqRF4yY8ANVosyPrX7TOV24fcqE1IleWDapJefH7AUhdtSo0IFRpnILq7AJnUCkqtSYOwSIzAWslwkT1bKS2Rm0pmQ4iD4wDgO7nppJQBuEPcH2V02G4dfHbd75PcA0NnRgBIVaYr5+b4NzGeEoagwIcGwsN/Wk3DMHjGpBFQO3PUCZ24cLHlh1BPQjTH2egDA29TLz+RSz8k3VGYUY0+aiZ2pNAonXmV22RQwUpzXMRL8zbjzToWndJRyapM+gDoRGN+EpFrdHXgusMuxoU8VVwstsTCisC0a0q9EHIGRkqyWBR+FpKjdVjZSbIihCUw9sPn+3sqKlyo5CREAxlDO8ZAQfO3651P7wCx2p+KAwUtwx1Y/ErabAYGRJidCYPqRIwODYnh0mx1Woe2h3kqbFnqUbJth6sTxOGi7KfjjiXtEv2yUAiP5XVgJFvJp48uTpmpqIQkEJibSB0DtCkycE68in4u6krhMYPwBm7ow/UHPUfDTUilUYAQCI0U0GHKpi60+oL6WGAgmJMdGT8EGQMM09/zgGzPIxhW4qwlpFBhfVW0jIoEp+ZM2r6QOa5E71leIVzfLoRSbE6+q/Pt0Inrg91HqomCHDq42jRKY9nz5DN+s+rVt2xECo0rkme4ayk9H6igk1qiwj0wh3jhXysf4v6Q8X1kwApMAl1OrPHAvYzkfmLTmmjQ+MGmeixDBqiAwTeT/AqDC+vMaahx1SXRbu0hg8nyiONfGyu5BmDnxhXdiHBUdGFiOKeh3pNwoCY5yU8ePAVYCS9d0YQtu+ztj9sAOPV6+jl7qT0ySCUlG55ix+Mupe6u/lAftejjxKiq5CompJGRSOG9SVeHLVAQmGqLp78Q1oAYCkytvQhL9k6L3YH2fNNBw7Wckd31fARv7SxjXHt4Hx1fnHJiC02WEwPgKzEGF3+CGD3Zhy4+cle7afPD1eFzXhuNIEWX8vY0ZiIeUwPDPw/fp6pDyJLHIm5LjIpsyn01DYYR9pWC7cGlIunppW0ByKaUYM/A+TrAeBAAcvutm2GXnPfDbv4ZJNiM+VQp0+CSnZ2AwEoVUrQKTypct6V3jzvth83kA0TpzlZ6vLFIQGJZXiCVxFBecijHciCEwiQpMCh+YNNfL76MgMNqENFogKTA8qF0AEGbiZWnA4xQYtl2uKJxUMG76RM8EUyqKJiR2rJ+UPo9uX4EhhWQTEolLUw00xolXIbUbCWHUmRS1iExL5QNTgQkpJlkcgMqikBhYwr+dPp1gQgp9WRhU92CLKVLuHa79zIS0bP0ADvzFg0JBUZZUzpVKIciF4fL5PE7efwt8cJ99MOOIb6YkbCw5nEi4qOOZHISQa0GBiSMwMc/qSw+maEsM0igwfuJB2YTEkrfxNc0qygdUbwhOvF4emGzgqJsJVTrXxRfX/jr42U6bTcKhO03DDWfsFx4rBQEZ2+4Rg57+QU6BYeNZldNKigl22qRx8V+q3uekRG71cEbtSFB4fLD3a8Afi4V3WNWGWBNSwv2JuxahT6bwXeOOQ0Ajh9UKzGhBfnzsV8XCoBgay+qKxBIY73uWQ4aBjRPK0Fr/xSVUZNEZx/PFWUPHg7pMgUkmMIl5IWQSVc1kHjlm9HwWnNi8BKrimTLGqXwoyoVR8nlgYhxlvQZU4Z9x5uPAmtc98+Pq19THVSgwqnuw6QTJhBbY3B3wIl33oI2nFq3HB7b1yLUTEBhx4GeVrwNkx+D8T4j1csrBhAsHZiSVPUt8ZsYSGPXkmcvGkOjNFGbNtEjjG+Eriu2SCYnV/7Fd3oQ0jIM778TrlxLI+ckpC8gEeYsoddDpbAh/548T4zu49zbFdYxt91Q5x3HQ7y+sWDXqqtWyFOfN5JIUmOh5Y/OjhHugptw8n/5T2V1c/7oGBlUEphITUhWEqxYFBsC0zjxE7q59YEYHEpKb9ff3i+GwppiJV0Y5BUYZHOQrDoYkA2Zcj8AMIIcNjjfxkmJvog9MIoHhXzYrHyU01UBBLAy4sQQmW0Xl27jzeNsr9IGphrR1TAK2OMBrQ9yYkDKMOtK2YGKO1ul+a3VP8JkpMHIiwPV9Ur2p7Q6LaWA8WDvlasiun/isIxgVifiuxDyTNH4ZFaMCJ1651AZTYIp2mMhueBUYzonX9vLA5OA93yLNhB5klMLm0zWwNsf5YcXA4opHBoeqMQop1QSbZBJS3f9yqfSrIZ0f9xWsj1wATI5PLsfA3q/BQIHh3mFlFFKcT1wV5IEncGl8tKRzzJwgKurNpsA0V2tGEhJetMHBAWFgN8uYkFga9W03EU0FVpwTL8K8JwYVM/HmfALThzzWl7yJgxR7kxWYJIWD79AK35Xq4F3Xbzf9bbAlKROvbPJQopLJhXOCDYo5NsqJNwmKhHTqexBv3pLnEj4aybG9AZVKJqS1vRKBySfI9jFgg7ScndculWC7FJN9J0u0T0plsmjP16tvcaiIwEgmJDdaSmBYfWA4h+/BkguHMyEVEBIYSl0x35SKwKS5Dv93/POtOgpp9tHe/x84p/y+SVmvFYVklc77wg5VTIF7fQn45htlk8IxMAJTLEYL0ZY/fwoT0k6fjv+54F+W5rmIY8mMcVIWbq3AjBKofC58DA4MCCvpcnlgJnS04esf3hZnHrS1sD02Cglh2LAhmZCyrl8egPIKTBkTUhKB4V+KhGuuCP4E8vXTTsH72S2805DQibdIxJcqk0lDTip48dIoMPVy4pWPpWiHkAeGpFBguAnYlKpX2wKB8U1IErnrK6qroVcCNrHJTsfFUhG2QzGJEZi4JGMM2x4KYIgVGOHZMhOSqMCUfAVGMCENpwLDmZBYGHWOeM+3wPvAUApbVccrbtWf4nzBJq44bUU4dj7wjVeB7Y8ov2+SAnPkbyObGkJgAGDstNSKCDPRsrQFogJTwbikMocdcxXwmWvifyOYpCtXYCa2i7+hTUYZmqs1IwlJCkxhQOjEbECJy8Tbns/h3I9uF0mVzkJfVa+A4ZMJUzIh8QpMrx9aSZxiYC9XIom5N1CBMQ0S+D7wPjC27HSaxoRUyaqwUhNSpRVf484Xs50nl0ozWkLbZJOTqMB4fUNWYH772d3KtbgsQgVGPH+pWPAUGPgEZkwZAnPs1QASfGBqQZoqxWUUmKLNJbIbzjBqvw/mUYRTGIBLgSwzIcHiCIwrmpBY31WE7yeCcxpmYP206Fa4SjcMYNym6fZNIjDjNgWV1EJSzj9uCEwizOzCijmW9YHhwX+/9Ye8wq+Ttw+3VTOuVYAOSxxvaBNl4QU0gWkcEtI+FwZFBabo+mF2cY8jxgdlamf8y2z455cVmBz1CEw/cuhD+PtxJCEcMGllSeqkwBz/d+Vmyx+ATM6E5EgTbmwlVh4dk4Fdj0vXFiWBkdP1c59rXXmX8cWxONVF7QMTkwcGgCl9xRMYltZfHgQP2WGTMg0uj01IF84w78Q0sl7YTov9cFw3NCGVU2D8KKCqc4skoZwPFBAoMB2SE6/t+6MJCSnr4f9VLTo3Q3/bdGSJg217n4ZLaeADU0BWVGCoQoGp0AeG/c4UTEhe38pWUcgxNbKcGV0xxhIprFlZQkT4QeOfmevHylCXKTApCMykbb33mMv+DSsLnPEQ8Mnfl/+9Cqn6p/hOjM1IBKbJKIOOQmoUEmy1dnEQFqsOSwlY0EecE29cXoYZ4xgB4TrZ5l6SMSPDJn7JhET9yASahQsD3bQdnaQf40h//LUkrcjqpcDw8jE3sYxtzwNdwOYT8lizwZPxXanbypljY/HpP3plH167M3k/Loonsk31d80r7xQTKSgAElNKIN4HxkS8CYk58TYix8ofM7/BVsZKLHPvF7Z/jD6CVRueQTfrb20Tkg/Erm1IE9nxWZbVpNz1k5KV7GYxIRnonrgL2pevQGdxtajA0DANJIWvwLBLDNrMk5o0iiZzGg77U0fWAErAtHF1ysatAq+wZNoBR1KO9zgZeObPYTObgMCwe+X6hXxJOSdeADjrv4BbUpun+X5WydhThQmpw5KiCLUT7yhBkrOZXRQKObKQzDgFhsTUJpk+XtG5T7wVQJj3xOQVGDfsjOxca2gKB83EGhx8NE69ZP7wJWL+QYdsNzFegclWYMJJM8koCUwVSaTSIoUSwK6dDX4OSQiP5AkMEZ1oHb4P+E68NZvAFNjK8MoFzDTWRL478e1zkWPEOm0ZhkaQgzRh1DGknJkDmiYTLxCMOdQpwnVDH5i29g4pConrb5VkqBb28U1ILHSaANmk9Pj1Al9iZPqc6PeH/lT40yg3Jg2BSSTIs+SyRHb8+RNU9zjfuhRpB9S/q9yJd4xEYJpNgWmu1owkJKkRTkEo5FiyxcJqMoyYl2zzie3Yb6tJopmAERcVgaHhZMYim9aiRgJTVyVCde7Q1h5LYNL4wDBUsgrh/YfkgYZWYMcuf8KYzTyBEbOdOkLodoICk+DEGygwKaoP1xMW7EAdSE2eEvIqVY00TrwxCxHHX02X3CZJZAfAYG11SoIJ6RN7bIkPbOOb6mQfGJVjaJr+7JtvWFVryyAJDu91BK/AfPL3XtHX0+4Lt0mTfnkn3iHw6Yj4wPCkYAhyu1Syr3Q/2k2JwGgfmFGCpJWlUwijSQwzyI4aq8DE2C4Ng+CGM/aFKvGl6ZuQWNG2Vd2D+MSlDwXfu4ECM1557FVt23AnSpj0bc43oGdl/H6VQOFfYsLh1IcqTUhAulVIoMCUotsYeAIzhAoMI76O1a7cT26PbEJilYPfXt2Lx9/0iyoOMYEBwBGYlGbHMVPr34g0mXgNM5InBwjr2ogmpOFVYJjaQNyin4nXu8dmJo/xY3x1xnVFU7WqzWkmKT95Y953/jeHg8B0bgp86kpgZkyZEzQwCqkCBP3H7zNlM/GWQyNNSLIPTLa5fWCaqzUjCbx0OX5z4atSoSDIzkV/UuEJDOUc1EiZTk5o1C+CVRA2qRdSeckDb+HtVd3B93EmpGvsw/Dr0rF4JbtruDFpZcnKyZfbryJEcx/wCoyc+r4iH45UCgwjMEkKDLcyqdmJt/xEKiswrqDAyMU8ud9JXYcpMJ+4/LEgQqiszJ6E0x8EDvpuxT9jxQRTmx3H1O5YHEFsFBKRdou2ka2mbZdyieyGl8AQX4ExnCJcGiayg5ULVUrqBuorAG41X6Y+jwx/gcbOkTGM+JxJ9QQfgZNm8i/3TIaQwFApCsmlpA4EppIw7Mp9YPbYVPRn6sjV39xcCzSBaRT4leUp/wadvlvwZ6EwECaAMkwUfROSGytdV97JmQkpAxslh6JQcoUIFrYK4yORAOD/nINwmfNp9BRTKgwFjsC4pfj9KgH/EjEFhsSbkCp7idPIqIp9Itv4VVTjnXgNULRnzSCMmvIKjCPddz4PTEwYdX/RCUwfZR0dk7DpHsDBlROYLGEKTFoCM0wKDKAkWcyJt9hEPjBmhikwJVBKkSXMzyiHNt9PjFIqKTAVZKjm4ROYPPEVGJNTYBpJ5MZO9epffeXJdPu7TvL3Q0Fg2P0IFkQ+gak2KVy1PjCprlVsU0YOAkmVc2vooAlMo8BPClYe5Av/CP58ccnqUEY0TEzt9OuK8I+jo5IVZ1SBsXwTUgaOVzHXMgTbKzuX/BKxwW3Q5glMkgLDhS3ahfj9KkI0IsKkDghRKzCVvcQVKDBJ5xAUmKEwIbmY0J4NnqFQZdcelH8ZKlcJPjCMRJuVmOCU7STA3BMr+knFJqSE4qhVIy2BUbSR+j4wttNEJiRfdTXcEhw3rIUEM4eOPCMwrjjOsHd7zLTw7zQV5X1fE2ZC+g69JpygG00KNtsDmDo73b6KisoCGuIcLpFCNubICky1BKZaH5gqFBhm9qrqfEOA5mrNSILcyTom4e/mUQA8UsGv2s46ZBscs/tmuPDYueFPdv9i8Lmsk2qCCckiDmyHImsSYTV+5sHbAYiGbjN/m0F+4ZLU8XkTkqwE1ANBivSwFpIjDzoVvcQVRCElbaNDoMBw990AxaQx2eAZuvwgKYeScm0yJALjqghMPaKQWDr4lMgGUUiqKuFKp64qGlUGaZU7hSOv60+MTVONGoDpt9N0i3huaVeYRNC00J7120apRGD8z1YW+N77wLz30k10/rkYSTqe/ptrSAOSDlaLcgQmy5lIPnIB8D/P1n5Oua8GpUlEH5iq0/I3sFhmZCySx5bhjrSToAlMo6DoZN3MJM0TGMPEmJyFX392DvbbmlNdZu0bfGwrmxhKocBYLIOtjaLjImMa4eRHCT6603T84phd4UrZf4nfyUUTUkofGKdOCgxRKDAJPjD1X4WkITC8AlPja5RCgSGgGJOzAhInEE87vsZKUh4YNvGaaRIBlkOFBCOXpMCkDa2uFWnCqAHltbGcHk1lQsp695L5F4XEKoP2nE8qqOTEy3ePbEf6shi+D1bwHIXvhuj5xeGz14afyxGY3Njw8/ZHAJO3id83LSQFhpmQPNWOYgzxkonWhcBQN34/uT1bf7j8vvJYJKu7TabANJdBaySBZ/Z+hyu4JmB4BCbMA8N3Rk72mLhV+LmKTkOCMEcHS7oGkLGMYEBzYMAyCTpyViTyqeAo5M0kAsP7wKiUgKoQJTAGwlpIQg4UoP6e+JUSmFrRPqlsOwy4yFkGdp4+BlgHdLZzq1wVcQzKEMTngWErdCsx3XrKQVblS5GADlZbSEV8rJyXcLDRSJPIDlCTLH9ibCYTkuWrrhnf98XixhjmfGlAUmASaqAlIsP7wEjHGG4Cw6uBZRUYLrNvvSZnOarP7xeEOrg0czk+YXr+O3GJS8sfn3tn0oxDZy8Elj8L7HBUioPLBEYaWzSBGSXIj/OKi1EaJF+yqdeRs7BDJ16+Q4yZ5r/8REyxXo2nuv8SZWDj6N89jlMP2DJUYGDAMgx05MzIKsANfGNS5neZtR+w4d3K25cElRMv5RSYmkxI1RIY+RlUOfCrsNOngEX/8e5lzDktOJiMDTj9wC2A2wCTvw6VAhMoV1EFhvrmL8tPctdWj0rPFSowHfAJjCrPSt1qapVBDU68xDeXNk01aoRmY2ae401bHRl2DZITr8L8nApWGEadlRw9h7WkgoyyCgyXGK9ek7OswDDFmDr4hBU6H9fFiTcNgRm3mbJStxIRBWZA+r6Jni00gWks9jxV+LPkJ6oTFRhu0MvkgW++7tmQ+Y40uLHycxssD4w3iL38/sYg9wxTYMbkrMhLxP4WCksmKTCHXwi8cL33ebsU1WQrRZDxMyzmKBcfbLgjm+r49VRgDBM4+nfKrygxQKiLK7KXYM8lbwLjjgt/w5CgwMhOvI5L0e/XrmB9Y+qEsagZZezyBZJDjobtZDK62oSUgsBsdwQwJ2VtqzjEEvPyCgzxS3J4mXibwweGqa7MQTpDwkjHdk6BEch3tf2YC6NuQ72c9xuAsgSGV2DqlKQtxgdGLmxaHwJTx4WUCs9cJf7dZInsNIEZQpT8220RO95urqoNk9YuzcMMo5AAYNGaPozxz2nDgGWoTUjspSqb7Cpo73jgf98BXv4HsMuxlbdTCYUJibocgYlP3FYWE7dOcXrp+KqIsEYPHEFbTIC62NN40/v7xRv97QYwdWdg1cueghP5nXcPZSde26XoK4or9DFDoMCUJAITKjAKh880JogT1MU/K0LqKKRoGy1qw3bc5iolIGXH5YnVmLw39higYmj9tJ2rOxcXhSRX6m4qlAuj5n1g6qbASHmqTHbvZbJYJRngSUQ9F1IqLHlcOrdWYEYtZm82CVjlRyGlSX711WeA//wUOHheuhPw0iWrRk0oDLhY21vAOMKZkEwDY3IksgqgKhNSuZVlx2RgnzPStTENFE68Bhwug6UBfOqPwK1nRPcvh7lfALqWAlsemHB+6SXlK8IyNHrgiGsLv/30/wD9a4HOGbG/y7z/LIDxYIOl41KUfD8nS+WHFTlOfXxgLMsCOEvXBOL7TqkiVtIoMPVADSakLGwMlBzYthtWCx9mBYbdtyC9P/d8mRMv4QnMh38k+upVdC6PZJqEYmxSIdjhxrD4wIjvAsudMgaiOaZqBYZHvcehcu97kxGY5mrNCMfHd5sFIMGJV8aU7TyP+k12THcCPlcGd9xwRRaakDK+AiM7krl+oTcnrRNvQ8Bn4vUITFvvssDkQQkBpu5U3aENE/jwecBWByecXnotJm8X3WfIFJiESdbKqskLENy33D+/imdzZ4YO3C4Nam/ljTQTb8pBtowCkxsb46g8rFFI1TvxZuCgr+DA4fNkDLMPDHsGLIFdoMCYGVgmc+qm4djDT96VgntGE0lP9cdpFFihxzmfS96vIQqMRGCyHnmcRLqF7U1JYMq1abj7uAStwAwhWEfOwManzUe9jfW0KbZzBIabUDKwUUBWcOKd0JGFK2flRBUmpEZA4cQ79e0bcV6Gfe0TmH2+MjQJznKKgX6oFBgzE3WkA8oPttz3k0gPDjeewb/cfeG4NKh+nmHKQT1yrJQhuWT8LLw74whs+dKl4hdKE1LzKzAWsdFXtGE7fMXyYV4PBj4wsgJjcm2joWN3Lc623DPaxGxCBeaUu4A1bwAz5ibvx48fDYpCyvlpCiZKBMaox7harYIWB63AaMTCCP1SjjEf87atfKn24x5wjvf/4RdGzgWEzpoGr8CYBnKWGfGBoUoCM4w8V/GSUxjei3bE/wM++K36n1N+SZWZSYdGgVHV4fG+SE9gAKCTeBmTbdcNSldk6mn6KJe8jBhYsdvZeJ9OLP87ltV36i61t6tMm2K+EP9UtDEDG30FOyjqCGD4TUhyhWgWHWRYYNck+MDU4rNDSPD7i47asvrjNArZDs/0W25CZhmIgYYpMHnfx2wc+oTtnW01JPw77ELPHL7FB6s/hhKtRWC0AjOUMMUK0XXDR84HDvxmEK4NQJj4w8RWzIk3/G6bTcYCG8KfBVFIw6nAKExI4tcNfonSEJghU2DqQ2CCOlIuDaqfZ4jt8bCk55tWIcyUMfsQgpxloEQtcYxUOa3v+llgwhbpTafVooY8MFnYTWhCkp14OYIa5AVyoYyArOp8GcB20Ob2ld+3WTGWq7FVLydsSRXJ+3Wo5HBzoxYFbL+zqv9tEkaDAvP73/8eW265JfL5PPbYYw88+uijifv/7ne/w4477oi2tjZsv/32uPbaa4Xv58+fD0JI5N/goKLGSyvDJzAdpM5e+4SI5MXfVmRRTxKBMc3wRd1hxnjhZ6ET7zD6wCiceMXvm4HADJEPTJx5p9w9kO7bHrO8quO2SwMFJpUTb1o7fVm/FYKcZQaReAFUVaYJAWbtE+3TDBUmzYtvUspMvAoTkucD02QKjH/+sf7tsfjwbpYXiFAuB1WNEza73mILExhegalVVT3qEmDCll7+Lw75vPdutMnjfpORAQ+tRWAqfuNuvPFGnHPOOfj973+PAw44AH/4wx9wxBFH4NVXX8WsWbMi+19xxRWYN28e/vSnP2GvvfbC008/jdNPPx0TJkzAUUeFmQE7OzvxxhtvCL9lD37EwB94J2BonN5smMjCDlbabOU1pTOckHkyA8T4wAx5eGg5AtPgXATyS5ptRQVGvEc7TR8DvCtFIQUmpDoQgnIEhhBsPqkd78lZlCvByf8C7voO8PFfV38MoU21OPF6PjCCAjPcYdRc1moAYqQj57PCKkjXrMAwAqMqJtoq4BOGpilimYQ9Tvb+SbDavMXDWDR3UjgAwIzdkr9vsjwwFd/B3/zmNzjttNPwpS99CTvuuCMuvvhizJw5E1dccYVy/+uuuw5f/vKXcdxxx2GrrbbC5z73OZx22mm46KKLhP0IIZg2bZrwb8TBZM5cQ0Vgwmy8AJc6nnMyMyWHs9238HwUmkeBiZ47kgemkecHmtOEVG7yccX2mf4l2U5oQrLqmYCt7MBGMDafQTYbEp33Dr+msnNs8QHgK48LdcJqQuo8MFHSlSGeCYmF6VKQ4c9AS0QCEz7fjEAwg8Rz9VJgStzEXCsJGGqYllfA8StPqJ316wE/0qm9FRSY8bOAs54CtjpE/X2Ttbmi1hSLRTz77LM49NBDhe2HHnoonnjiCeVvCoVCRElpa2vD008/jVIpLATW29uLzTffHJttthmOPPJIPP/884ltKRQK6O7uFv41PfwXvnOI8ibYXOZfAEEmXqHKsTQRXniMF344vD4wHJSD7FAQGG5CHkYn3qpNSFJ2Xt4HphA48YaZWmNRrxUXOw43yRdn7FmfY1eLuOvuXyf+rYiKYiYkVtRx2P1fgODeBqZinqByRDhIPFcr4WJ9k1dgvpzsTtCUmLxN9WkZ0iA3LuaL5lIzAmyygxidZXGJVOtlvq0TKurBa9euheM4mDp1qrB96tSpWLlypfI3hx12GP785z/j2WefBaUUCxYswNVXX41SqYS1a9cCAHbYYQfMnz8fd9xxB274/+2df3wU1b33P7ubzSbEZAViEkJiAggCBhATICCKiAURlNb7KFCI0mIrKgpyb6tUuSJPFbhPRR69QB+0WFtbQ/uAVvvitoSqIC9S0vJDA1zBvgSDmDSFQoKvCEl2z/1js7NnZmc3+2PmzJnN9/16LWFnz+6c+c6ZM5/5fr/nnDffREZGBm688UZ8+umnEeuyevVqeL1e5VVcXBzPoViDEcNV4yAkYIIdWnjOgytN/fR9VXYm+mSlWzwKyeIQEqAWCFKGkLqxQadWwHSNQGMhD4zSHoS0S0fXv9z6Tm5Bw6UjEcmGJ/eo30cIIbW1+3CpvSscY3X4iKtD8Fy7eQHjcKDDEWhLSi6GYR6YLgEz7C5jVnNONfi5ZngkC8eo4CcA/JdXQ/+3Os9LQ0IS3KExPGMsbFuQFStWYPr06aisrITb7casWbOwYMECAKH8i8rKSsyfPx+jRo3CTTfdhN/85jcYMmQIXn755Yh1WL58OVpaWpTX6dOnEzkUsQhWr0ER4tQKGO7m7NI+hTmc+M2DlbjxGi650ui5BrqDb0p6AkaEq54XMG6d4xeWxJtgDowmLyG4JhI/Cim2EJKxHhg+/Oe0XMDE2I50k3g70XzxUmi1bxk6dm0OjGa0UaczYG8lhGRYDszX6veEmogCRq5wjApewPD11K60bTFxWTA3NxculyvM29Lc3BzmlQmSmZmJLVu2oK2tDadOnUJDQwNKS0uRnZ2N3Fz9ScicTifGjBkT1QPj8XiQk5OjekmPYA+MVsDoDZ/UemDgcOKavGx8q5xLyBYtYLobRi1i+iKVgNFZi8ryUUjd3Hx86hWqg+e+wxeaB8aKRQj9/PxEoiasi0SsHggdEZmOTjS2XFJEgkOGEJLigVEv1hk8vz5n4Dh6GZ4D0yWWBfdvtsGWAoaboJFv23YOIaWnp6O8vBw1NTWq7TU1NZgwYULU77rdbhQVFcHlcqG6uhozZ86MOA6eMYbDhw+jX79+8VRPfoQLmIAQCHayeY4LgQ+4jitNMwpJuahUIRTRHpjuknhFuF45gaIrYKwOIcXX+QU9MO2dfh0PjLgcGLWAsTrpNcL+57ypfh9hIrv3PmkO83JYCrfwKRAuUDu7BEyGo0NVPmGUHBjywETFlgImggdGsnMcd22WLVuGqqoqVFRUYPz48di8eTMaGhqwaNEiAIHQzpkzZ5S5Xk6cOIG6ujqMGzcO58+fx7p163DkyBG8/vrrym8+++yzqKysxODBg9Ha2oqXXnoJhw8fxoYNGww6TEmwMIQ03HEKa92vdNWDS+LVugSDjZX3MCSzZkqy6HSynSK0A38B6wlPkUsJxLM9AuldCdxfd/jQ3jWM2sm4USpm0zWrrs8Ram9pTotzACLdQLRDSfWSeB2ayeKkyIFRe1zTNDlOPqfmOJL2wHR9P+iBkezmJg12z4Hh6ymZly3uFjd79mycO3cOq1atQmNjI8rKyrBjxw6UlJQAABobG9HQ0KCU9/l8eOGFF3D8+HG43W5MnjwZ+/btQ2lpqVLmwoUL+P73v4+mpiZ4vV6MHj0ae/bswdixY5M/QpkQfPJ9ioBhmOb6a+gD7uablhbBA8OvvyNZCOmyL2yT8fACRW/BQWGjkCINo47v0g0mdF7q8AkMITmA7/0JOP5fwI2PAQD83DwwwQUGLSOSgNHaI4IHBjB4KHqycB4YJ/xwOoJrHgXq5ndqjiPZXDIneWBiwumCz5EGF9PMwG4bDwwfQpLrHCdUm4cffhgPP6w/lfHPf/5z1fthw4Z1OyT6xRdfxIsvvhi1TEog+OQHPTAuhx9fMm414H+cCFVJ6+EIXlQdXBJod+vcGE03M/Fe7hQkHoJY6oGJYPs4xbAbgbBBh49h0wd/C/wEMzuJlwH9ywOvLnx8+NJqD4zeQpJAuD14b+TAW4DPPsCVXevaGDYtvxF02dYBf0hYAUrd/FohTjkwwvA5PXD5bCRgpj0PvHobMPFxqUNIElswBdHr5IbONG13jAshecAldV7m5szRXkSKgOHmqhHu6uxGwIjwwPDoHb/VSbxxhn3SWOj8t14Khj+6DBltZEFGpDksEsPHe2CsFjAAcJfOSEetzXmxWrEQADDG+UmgqEwhJMUD4wudWyDkgdEKGMqBEYZf70FEZgFTMAJY/gVwy5OaUUhyiVSJLZiCaBvslVcD/2uLabsLhpBc8CODFzB8+CNMwASnbLVwevBukngv+wR7YPQQ5YFp+6f+9jg7Epe/M0yHOaN5YL79W+CqYcC3q2PfyT2vd7uCNJ8D45JBwOgJwTAPDHeuu2YBHuhsggs+ZKcHJ+iTQMBw88Ao+S9AZAFDOTDC8Ll0ltqQOQcGCPUxfA6YZOdYrtqkOlqxUDxON0HQKPxcDkwGOnTLZGeG9s8czpDvo+Nr3fLC0elk20WHkPQQJWDOntDfHmdH4vC1I9PtQlt76Mk8ag7MkKmBVzxc983Aa2Vkrw3vgYk0d5RQ9I5dK2r4c83NylzlqsESx9td35FAwDiDISSmXvG+6xiZVsAk+zQdtFMHeWC6w69NoAYg7Uy8WiQWMOSBEUmYt8PcTi84jHqk47PwdTi6yOkVapwOvn433Bf4e803TKtfZKJ7YCoHXRW2TTyCRFTrl/rb4735tH+Fl53r8B3Xf3VtYHDElANjLJ9ll3dfSCS6EyVqtqkSukOhgJXuX6A3usKxMnTs3PWbDn6Npgg5MJFGx8SKdiI7ycILMhFme0DuEBIPX3fJzrEEV10PQttgTe70gh6YZe7/H7kQL6L4+vUdBDzZAKQn2cklAv9krpNoWdRH9KgoHTJ7i9nPtdOBIzrnL962c+xtTAEwxb0fr/mma5I8xXUDR7234MH2pTjKSrFX2F6jEMtSFUVjQv9PdGJBEXDHojywcNsc2ronK2CCv+czaHXrFCbM+wXYR8CoPDByCRibWDBFCBMw5prfF8vp5eukrV+GV8y0/WFwNxA9oSDDhX/n/wWKK4HZvzJ3P3f8H/3tSYoOl06OhBAcDvzRPxZfsLzuy4oglraUPxxYuAt4/CjgcKgm41OQ4ebNiaixXUnG6Btam8ivFVmeJGcv1x6zZDc3mWB6qQIy9GOxwNddsqUE5KpNqiPYA8NiibE6I3hgrMRhAwHTuxRY+Efz99Orj/72pFy5DD9zc8LI6Hbo8oSthh1EhrQXNTFWqDjkhWFON+DX5JTJIGC4OlzvCAyVdwy6VdnGCxjmcMKR7PxOWsEiQxhNUliaXhKvBP1YLKjqLtcFbBMLpgja3tv0HJgIp3fa81wd+DJyNU4A8goYq0niabfY0YyJrqPcbxl843HrdNZdOGRrYwm0Jaab+CvBzZvPgQkuF8CJFD+4/saTnbyaDJvwjzwwEbHjKKQg/BBwUYMXYoTuBCIJ88CYK2B8ep3zjBeA8Y9wdeLq4O8ML28JvAdGxwNhlwvfTJK4WWRCvdCj4e0wTWftqC6kO3WJiGHdOT0k8MBwdQjOvMwfH++BcSQbPgLCwwkyeKFkRW/ldbs8iPEeGBIwPRjhSbw6HUrGler3/B0lgttfOHyd9NzcftEz2UlIEm0nG23qDUaripLxXb9rg+7FKAEjw82bq0NeVlf74I7Pp/LAGCBgtG2QcmAiY+cQEi9UJet7JfB79iAizXprEn49d732QpKh442G3s1VxCR7zjSJPFI6JOGByXG0dV8oGWasA7xFwKi5YR/J5oBJ5Bp0yCpgHA4ELMxQWZIDHIfGA8N190asb0Y5MLFj5yReHvLA9GAEh5B0c2C0F5KUF5HmNrdwF3D3K6H3IgRMlDCIFCTxtJvTtY6PafTqA0z9MZB/XdhHUkxex5NAfZx6ayjJEEICQn1KcGgzd3wleZzXxYgJNCkHJmZ0J7KT7VqIBSaXB0bGu1fqIjiElObSm6RLs09ZOl4AGHBz4O/YB9Tbi8cAI+8NvRcxS3CURFQpSGI445UOkwWMnUjgJuLQEzCyeB+C13NwlBTX52RlcG3aiAVatXaQwQslKZ164Xz5/JHdI1kIiQSMSATPxDuiv06cW9txyeSBmbcNeOQvQNm/RC8nwgNz64rA39FV5u8rEbrzwHzr/wF9BgK3Ph32UR/HRZMq1T0LJpQCAGZdX2hZHVQklAMj6TwwAOeB6Qp/RlpJ2AgPTNjikOSBiUROLxvnwPBI5oGR5LGhhyDYA5Pl1rlAtAJGlo4XCDzRXTWk+3IiPDA33AeUTgzM9yIj3bnrR80JvD7ZEfaRF1+ZVKnuKc3Nwif/+3Z40iTpvBOZjVY3B0aSrjTMA8Nd3/y1booHRhIbSEivjBTJgfFTDkzPRfBMvLpqWXvj4+tUsdDc+hiFCA+MwxFYTkEmgccT681Cp/63DeY8c2MfNKhCsZPhdsmTC1N4AzBuUXzf0R1GLUlXGuxTfOEhJMM9MNoBAbLYQEb0rlc72kuy0LoNLWhjBE9kp5sxHiZguDqNnmdufYxClpWyrSRWAaPTxoqu6LrsJy4D7vgPAytlQxwOYPpa4No7Yv+OzCGkKDkwqjZjhAcmLIQkiQ1kRFfASCLiY+H2tUD/cmDCo1bXRAUJGNFE6lDMQFfAaHNguE5H9pE3QTolma/GSmId8aHn5Qt6sMjlH2LYXYG/2f26L6u7FpIktoyaA8PV2xAPjMT5dLKhu2iojexVuQj43nviFrGNEUmuuh6EwxkSFmY/sTAWvi1aCEky92BEJEsks4RY52PQ8/J1hq9U3OMZORu4Ig/oN6r7snriUZbRfA7tMGpewPA5MGYk8UpiAxlJlRCSZJAFRaNa/dnkC15vyJv26ZGvj+wemJnrgayrAn97OrF2fno3FcUDQzccBacTuGYKkJXbfVmZk3id2hASF6ZQ5cAYkcRrhzmlJMHuHhhJkeSq60FEeiIyg1hCSHwZ2T0wFd8ByhfYK3ZsFvllsZXTu7Ge3B34K4vXwG7oChhJbkaOaCEkPgfGiBCSVsBQe4qI3XNgJEWSq64HYbmA0XhgfNzCfrJ7YAC66AFgxD2x2yHaTUUWr4Hd0E3ilcSWQSHVXRKvER4YCiHFjq5tqC9LFkmuuh6EyBCS7jBqTcd1ZQngvTqwNooRiX2E+cTTbqJ5BmS56doNPQ9MIvPJmIHigekSMPyN0+gcmLAkXhIwEaEcGFOgHkw0lo9C0jw9utKAxw4G6kXeDXsQT8cX1QNDN5yE0BMw/SvE10MPJQemuxCSGR4YuiFHhASMKZCAEY0qqc6CEJLehUSLsNmLeG4U0doYCZjE0Lte+o0UXw89tB4YM0NIlMQbOyRgTIEsKBqROTDaaZ9d6eRlSQXi6fiiefnI5Z8Yet6LzD7i66FH2GrUXFvhhRcl8YqFBIwpkAVFIzQHRkfAEPYnnnZDSbzGo3cdpV8hvh56KP0L07yH+oHJkCReiddVkw0921B/nDQkYERj5SgkumGlBnF5YCiEZDgunetIlvwP7TmNFEIywmNEHpjYodC9KUhy1fUgrEziJcWfGsQjPKKJHRK0iSHzdaT1BEWayC6WJRO6Q9t+SBBHRu9ao1GfSUMCRjRWDqOWueMlIqNdMdooDwzF4BND5usoTMBw5z+Y2AsA2QXJ7yvarN6EGvLAmAK1ONGokupEe2DoiduWTF8LPH409D6ueWCinHPywCSGzDeeaAsstp0L/T/Dm/y+ooWrCDWUA2MK1OJEoxIwJjdgyoFJDRwOwFsUeh9PvgUl8RqP9rrtO9iaeuihXcCV72+KuuaqcWcZMxqRQkixo+uBIQGTLNSDiUYVkzb5SU47jJqS7FIDSuK1Fv7Gc/MPgcqHrKtLGFEETO9S4NGDQK++xuwqbGV7ak8RoRCSKZCAEY2VISS6YaUGcQ2j5sWOA6obHHlgEoO/8QyfBfSSZA4YILoHBgD6DjJuX+SBiR29a5Y8MElDISTRqEYhmazAScCkJol6YKb/R+K/Q4TgbzzpvayrRyyYeY61v03tKTIUQjIFanGiiTQzphkUlGn2TQImJYhHiPIdZ/5w4Jrb9D8jYod/8HBnWVcPPbS5LaYKGIfYUZV2RjeJl0JIyUICRjQiPTB3/SdQPI7bH3UwtmbM94BeuYG/scLfVJxuIC2De0/tISF4z6ZsHphb/1393uylQ1T9Gd1OIqJ3rZHgSxpqcaIRmQOTnQ/MWBd6T0/c9mbGT4B/OwFccVXs3+E7Tleaug1Qe0gMPzefilsyAXPVEGDI9NB7s0UqeWBiQ29hXVqXLmlIwIhGpAcGUHdg1MHYn3hvSPw5d6Wrv08CJjGCCyUCcnqx3Jmh/5uel8KPqpTQFrLg7wzfpk24JuKGBIxoRObAAJoQAnUwPQ6nE8gdElj7JneIuj1Q0mVi+H3dl7ESPjnU7HPMexGoPUXGpyNgiKShRzDR8K5EEQLGSQKmx/NQbaDdpaVTCMkIrr0DyOkPFI+1uib68P2K6QKGQkgx0bvE6hqkJNSDiYZ/ehMRQqIOhuBzrfhESxK0ieG5Aljysbz2E+qBofYUE9kFwAPvARk5wH92zYisnXSQiBsSMKLhF1gkDwwhGgflwBiCzOuKiRQwoBBSzBSVW12DlINanGhEe2D4fdANi+DbAHnkUhPLQkg0qoYQCwkY0fAeGBHzJqi8PNTB9HjII5f6WJXES8TGqG8Hcqiuu9vqmtgeeiQXjXaBRbPhBYzeXAREz4JGpaU+JGDk5lubAvcBmvgvaciCotGbD8BMnCRgCA6aByb1ERlCIq9uYpB4MQSyomiY4DkkVCEkynrv8aimwZdsHR/CGKwahUQQgqHWJxrRk2DxT9nkgSE62kL/l20hQsIY3Nx6VxRCIlIYEjCiEe2B4TsYEjBE5+XQ/2UeCkwkDr8+E3lgiBQmoda3ceNGDBgwABkZGSgvL8eHH34YtfyGDRswbNgwZGZm4tprr8UvfvGLsDLbtm3D8OHD4fF4MHz4cLz11luJVE1+RCfx8pCAITq+troGhNmkifTAkIAhrCPu1rd161YsXboUTz31FA4dOoSbbroJ06dPR0NDg275TZs2Yfny5Vi5ciWOHj2KZ599Fo888gjeffddpUxtbS1mz56NqqoqfPTRR6iqqsK9996L/fv3J35kssIvBCcaEjBE5yWra0CYjVWLORKEYOJu3evWrcPChQvxwAMPYNiwYVi/fj2Ki4uxadMm3fK//OUv8eCDD2L27NkYOHAg5syZg4ULF2Lt2rVKmfXr1+Mb3/gGli9fjqFDh2L58uWYMmUK1q9fn/CBSYvvcvdlzIJWPyVIwKQ+vIAxe7QL5cAQFhJX625vb8eBAwcwdepU1fapU6di3759ut+5fPkyMjIyVNsyMzNRV1eHjo4OAAEPjPY3p02bFvE3g7/b2tqqehHdQB4YooMETMqTJtADQyEkwkLian1nz56Fz+dDfn6+ant+fj6ampp0vzNt2jS8+uqrOHDgABhj+Otf/4otW7ago6MDZ8+eBQA0NTXF9ZsAsHr1ani9XuVVXFwcz6FYD59oJwoSMEQn5cCkPCJHIfUdZO7vE0QUEmrdDo3bkDEWti3IihUrMH36dFRWVsLtdmPWrFlYsGABAMDlCk2qFc9vAsDy5cvR0tKivE6fPp3IoVhHVq74fVIIiaCchdRH5Cik29cCLg8wdKa5+yEIHeJq3bm5uXC5XGGekebm5jAPSpDMzExs2bIFbW1tOHXqFBoaGlBaWors7Gzk5gZu4gUFBXH9JgB4PB7k5OSoXrZgyO2BvxMfF79v8sAQd70MZBcCszZYXRPCLESOQsobCvzbCeDe8JGlBGE2cbXu9PR0lJeXo6amRrW9pqYGEyZMiPpdt9uNoqIiuFwuVFdXY+bMmXB2JZiNHz8+7Dd37tzZ7W/aknteB773PlD+HfH7JgFD9BsJ/Ot/A6PnW10Twix4D4wIr2vmlbSuFmEJcc9ktWzZMlRVVaGiogLjx4/H5s2b0dDQgEWLFgEIhHbOnDmjzPVy4sQJ1NXVYdy4cTh//jzWrVuHI0eO4PXXX1d+c8mSJbj55puxdu1azJo1C7/73e+wa9cu7N2716DDlAh3BtD/Bmv2TQKGIFIfPgfGymkbCMJk4hYws2fPxrlz57Bq1So0NjairKwMO3bsQElJCQCgsbFRNSeMz+fDCy+8gOPHj8PtdmPy5MnYt28fSktLlTITJkxAdXU1nn76aaxYsQKDBg3C1q1bMW7cuOSPkAhBAoYgUh8+hOSxSWidIBLAwVhqZHa2trbC6/WipaXFPvkwoljpDfwtGAksij5rMkEQKcCpvYEh84Nvs7omBNEtid6/aTGUnkRqaFWCILqjdKLVNSAI06FZiHoSFEIiCIIgUgQSMD0JEjAEQRBEikACpieQ2Sfwd9Ct1taDIAiCIAyCcmB6Ag/uAT79IzDq21bXhCAIgiAMgQRMT+DKYmDMA1bXgiAIgiAMg0JIBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYDhIwBEEQBEHYjpRZjZoxBgBobW21uCYEQRAEQcRK8L4dvI/HSsoImIsXLwIAiouLLa4JQRAEQRDxcvHiRXi93pjLO1i8kkdS/H4/vvzyS2RnZ8PhcBj2u62trSguLsbp06eRk5Nj2O8SasjO4iBbi4HsLAaysxjMtDNjDBcvXkRhYSGcztgzW1LGA+N0OlFUVGTa7+fk5NDFIQCyszjI1mIgO4uB7CwGs+wcj+clCCXxEgRBEARhO0jAEARBEARhO0jAdIPH48EzzzwDj8djdVVSGrKzOMjWYiA7i4HsLAYZ7ZwySbwEQRAEQfQcyANDEARBEITtIAFDEARBEITtIAFDEARBEITtIAFDEARBEITtIAFDEARBEITtIAHTDRs3bsSAAQOQkZGB8vJyfPjhh1ZXSQpWr16NMWPGIDs7G3l5efjmN7+J48ePq8owxrBy5UoUFhYiMzMTt9xyC44ePaoqc/nyZTz66KPIzc1FVlYW7rrrLnzxxReqMufPn0dVVRW8Xi+8Xi+qqqpw4cIFVZmGhgbceeedyMrKQm5uLh577DG0t7ebcuxWsnr1ajgcDixdulTZRnY2jjNnzmD+/Pno27cvevXqheuvvx4HDhxQPidbJ09nZyeefvppDBgwAJmZmRg4cCBWrVoFv9+vlCE7x8+ePXtw5513orCwEA6HA2+//bbqc9lsWl9fj0mTJiEzMxP9+/fHqlWr4l7MEYyISHV1NXO73eyVV15hx44dY0uWLGFZWVns888/t7pqljNt2jT22muvsSNHjrDDhw+zGTNmsKuvvpp99dVXSpk1a9aw7Oxstm3bNlZfX89mz57N+vXrx1pbW5UyixYtYv3792c1NTXs4MGDbPLkyWzUqFGss7NTKXP77bezsrIytm/fPrZv3z5WVlbGZs6cqXze2dnJysrK2OTJk9nBgwdZTU0NKywsZIsXLxZjDEHU1dWx0tJSNnLkSLZkyRJlO9nZGP75z3+ykpIStmDBArZ//3528uRJtmvXLva3v/1NKUO2Tp4f//jHrG/fvuz3v/89O3nyJPvtb3/LrrjiCrZ+/XqlDNk5fnbs2MGeeuoptm3bNgaAvfXWW6rPZbJpS0sLy8/PZ3PmzGH19fVs27ZtLDs7m/3kJz+J65hJwERh7NixbNGiRaptQ4cOZU8++aRFNZKX5uZmBoDt3r2bMcaY3+9nBQUFbM2aNUqZS5cuMa/Xy376058yxhi7cOECc7vdrLq6Wilz5swZ5nQ62R/+8AfGGGPHjh1jANif//xnpUxtbS0DwD755BPGWODCdTqd7MyZM0qZN998k3k8HtbS0mLeQQvk4sWLbPDgwaympoZNmjRJETBkZ+N44okn2MSJEyN+TrY2hhkzZrDvfve7qm133303mz9/PmOM7GwEWgEjm003btzIvF4vu3TpklJm9erVrLCwkPn9/piPk0JIEWhvb8eBAwcwdepU1fapU6di3759FtVKXlpaWgAAffr0AQCcPHkSTU1NKvt5PB5MmjRJsd+BAwfQ0dGhKlNYWIiysjKlTG1tLbxeL8aNG6eUqayshNfrVZUpKytDYWGhUmbatGm4fPmyyv1vZx555BHMmDEDt912m2o72dk43nnnHVRUVOCee+5BXl4eRo8ejVdeeUX5nGxtDBMnTsSf/vQnnDhxAgDw0UcfYe/evbjjjjsAkJ3NQDab1tbWYtKkSapZfadNm4Yvv/wSp06divm4UmY1aqM5e/YsfD4f8vPzVdvz8/PR1NRkUa3khDGGZcuWYeLEiSgrKwMAxUZ69vv888+VMunp6ejdu3dYmeD3m5qakJeXF7bPvLw8VRntfnr37o309PSUOFfV1dU4ePAg/vKXv4R9RnY2js8++wybNm3CsmXL8KMf/Qh1dXV47LHH4PF4cN9995GtDeKJJ55AS0sLhg4dCpfLBZ/Ph+eeew5z584FQG3aDGSzaVNTE0pLS8P2E/xswIABMR0XCZhucDgcqveMsbBtPZ3Fixfj448/xt69e8M+S8R+2jJ65RMpY0dOnz6NJUuWYOfOncjIyIhYjuycPH6/HxUVFXj++ecBAKNHj8bRo0exadMm3HfffUo5snVybN26FW+88QZ+/etf47rrrsPhw4exdOlSFBYW4v7771fKkZ2NRyab6tUl0ncjQSGkCOTm5sLlcoWp8Obm5jB12ZN59NFH8c477+D9999HUVGRsr2goAAAotqvoKAA7e3tOH/+fNQyf//738P2+49//ENVRruf8+fPo6Ojw/bn6sCBA2hubkZ5eTnS0tKQlpaG3bt346WXXkJaWprqqYWH7Bw//fr1w/Dhw1Xbhg0bhoaGBgDUpo3iBz/4AZ588knMmTMHI0aMQFVVFR5//HGsXr0aANnZDGSzqV6Z5uZmAOFeomiQgIlAeno6ysvLUVNTo9peU1ODCRMmWFQreWCMYfHixdi+fTvee++9MJffgAEDUFBQoLJfe3s7du/erdivvLwcbrdbVaaxsRFHjhxRyowfPx4tLS2oq6tTyuzfvx8tLS2qMkeOHEFjY6NSZufOnfB4PCgvLzf+4AUyZcoU1NfX4/Dhw8qroqIC8+bNw+HDhzFw4ECys0HceOONYVMBnDhxAiUlJQCoTRtFW1sbnE71rcflcinDqMnOxiObTcePH489e/aohlbv3LkThYWFYaGlqMSc7tsDCQ6j/tnPfsaOHTvGli5dyrKystipU6esrprlPPTQQ8zr9bIPPviANTY2Kq+2tjalzJo1a5jX62Xbt29n9fX1bO7cubrD9oqKitiuXbvYwYMH2a233qo7bG/kyJGstraW1dbWshEjRugO25syZQo7ePAg27VrFysqKrLlUMhY4EchMUZ2Noq6ujqWlpbGnnvuOfbpp5+yX/3qV6xXr17sjTfeUMqQrZPn/vvvZ/3791eGUW/fvp3l5uayH/7wh0oZsnP8XLx4kR06dIgdOnSIAWDr1q1jhw4dUqb9kMmmFy5cYPn5+Wzu3Lmsvr6ebd++neXk5NAwaqPZsGEDKykpYenp6eyGG25Qhgn3dADovl577TWljN/vZ8888wwrKChgHo+H3Xzzzay+vl71O19//TVbvHgx69OnD8vMzGQzZ85kDQ0NqjLnzp1j8+bNY9nZ2Sw7O5vNmzePnT9/XlXm888/ZzNmzGCZmZmsT58+bPHixaoheqmEVsCQnY3j3XffZWVlZczj8bChQ4eyzZs3qz4nWydPa2srW7JkCbv66qtZRkYGGzhwIHvqqafY5cuXlTJk5/h5//33dfvk+++/nzEmn00//vhjdtNNNzGPx8MKCgrYypUr4xpCzRhjDsbinfqOIAiCIAjCWigHhiAIgiAI20EChiAIgiAI20EChiAIgiAI20EChiAIgiAI20EChiAIgiAI20EChiAIgiAI20EChiAIgiAI20EChiAIgiAI20EChiAIgiAI20EChiAIgiAI20EChiAIgiAI2/E/0yhx8xLIP0kAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x6[start:],pvar6[start:])\n",
    "plt.plot(x6[start:],vvar6[start:])\n",
    "plt.plot([0,1e5],[1,1])\n",
    "plt.title(\"variance\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ee30d8f-9f20-4958-80a5-6910b2620048",
   "metadata": {},
   "source": [
    "normal distribution initial mean 5, std 1\n",
    "0.5% increase for both mean and std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "47456b43-4e5b-40e0-b31d-667a5f40dec9",
   "metadata": {},
   "outputs": [],
   "source": [
    "x6= [1, 100, 199, 298, 397, 496, 595, 694, 793, 892, 991, 1090, 1189, 1288, 1387, 1486, 1585, 1684, 1783, 1882, 1981, 2080, 2179, 2278, 2377, 2476, 2575, 2674, 2773, 2872, 2971, 3070, 3169, 3268, 3367, 3466, 3565, 3664, 3763, 3862, 3961, 4060, 4159, 4258, 4357, 4456, 4555, 4654, 4753, 4852, 4951, 5050, 5149, 5248, 5347, 5446, 5545, 5644, 5743, 5842, 5941, 6040, 6139, 6238, 6337, 6436, 6535, 6634, 6733, 6832, 6931, 7030, 7129, 7228, 7327, 7426, 7525, 7624, 7723, 7822, 7921, 8020, 8119, 8218, 8317, 8416, 8515, 8614, 8713, 8812, 8911, 9010, 9109, 9208, 9307, 9406, 9505, 9604, 9703, 9802, 9901, 10000, 10099, 10198, 10297, 10396, 10495, 10594, 10693, 10792, 10891, 10990, 11089, 11188, 11287, 11386, 11485, 11584, 11683, 11782, 11881, 11980, 12079, 12178, 12277, 12376, 12475, 12574, 12673, 12772, 12871, 12970, 13069, 13168, 13267, 13366, 13465, 13564, 13663, 13762, 13861, 13960, 14059, 14158, 14257, 14356, 14455, 14554, 14653, 14752, 14851, 14950, 15049, 15148, 15247, 15346, 15445, 15544, 15643, 15742, 15841, 15940, 16039, 16138, 16237, 16336, 16435, 16534, 16633, 16732, 16831, 16930, 17029, 17128, 17227, 17326, 17425, 17524, 17623, 17722, 17821, 17920, 18019, 18118, 18217, 18316, 18415, 18514, 18613, 18712, 18811, 18910, 19009, 19108, 19207, 19306, 19405, 19504, 19603, 19702, 19801, 19900, 19999, 20098, 20197, 20296, 20395, 20494, 20593, 20692, 20791, 20890, 20989, 21088, 21187, 21286, 21385, 21484, 21583, 21682, 21781, 21880, 21979, 22078, 22177, 22276, 22375, 22474, 22573, 22672, 22771, 22870, 22969, 23068, 23167, 23266, 23365, 23464, 23563, 23662, 23761, 23860, 23959, 24058, 24157, 24256, 24355, 24454, 24553, 24652, 24751, 24850, 24949, 25048, 25147, 25246, 25345, 25444, 25543, 25642, 25741, 25840, 25939, 26038, 26137, 26236, 26335, 26434, 26533, 26632, 26731, 26830, 26929, 27028, 27127, 27226, 27325, 27424, 27523, 27622, 27721, 27820, 27919, 28018, 28117, 28216, 28315, 28414, 28513, 28612, 28711, 28810, 28909, 29008, 29107, 29206, 29305, 29404, 29503, 29602, 29701, 29800, 29899, 29998, 30097, 30196, 30295, 30394, 30493, 30592, 30691, 30790, 30889, 30988, 31087, 31186, 31285, 31384, 31483, 31582, 31681, 31780, 31879, 31978, 32077, 32176, 32275, 32374, 32473, 32572, 32671, 32770, 32869, 32968, 33067, 33166, 33265, 33364, 33463, 33562, 33661, 33760, 33859, 33958, 34057, 34156, 34255, 34354, 34453, 34552, 34651, 34750, 34849, 34948, 35047, 35146, 35245, 35344, 35443, 35542, 35641, 35740, 35839, 35938, 36037, 36136, 36235, 36334, 36433, 36532, 36631, 36730, 36829, 36928, 37027, 37126, 37225, 37324, 37423, 37522, 37621, 37720, 37819, 37918, 38017, 38116, 38215, 38314, 38413, 38512, 38611, 38710, 38809, 38908, 39007, 39106, 39205, 39304, 39403, 39502, 39601, 39700, 39799, 39898, 39997, 40096, 40195, 40294, 40393, 40492, 40591, 40690, 40789, 40888, 40987, 41086, 41185, 41284, 41383, 41482, 41581, 41680, 41779, 41878, 41977, 42076, 42175, 42274, 42373, 42472, 42571, 42670, 42769, 42868, 42967, 43066, 43165, 43264, 43363, 43462, 43561, 43660, 43759, 43858, 43957, 44056, 44155, 44254, 44353, 44452, 44551, 44650, 44749, 44848, 44947, 45046, 45145, 45244, 45343, 45442, 45541, 45640, 45739, 45838, 45937, 46036, 46135, 46234, 46333, 46432, 46531, 46630, 46729, 46828, 46927, 47026, 47125, 47224, 47323, 47422, 47521, 47620, 47719, 47818, 47917, 48016, 48115, 48214, 48313, 48412, 48511, 48610, 48709, 48808, 48907, 49006, 49105, 49204, 49303, 49402, 49501, 49600, 49699, 49798, 49897, 49996, 50095, 50194, 50293, 50392, 50491, 50590, 50689, 50788, 50887, 50986, 51085, 51184, 51283, 51382, 51481, 51580, 51679, 51778, 51877, 51976, 52075, 52174, 52273, 52372, 52471, 52570, 52669, 52768, 52867, 52966, 53065, 53164, 53263, 53362, 53461, 53560, 53659, 53758, 53857, 53956, 54055, 54154, 54253, 54352, 54451, 54550, 54649, 54748, 54847, 54946, 55045, 55144, 55243, 55342, 55441, 55540, 55639, 55738, 55837, 55936, 56035, 56134, 56233, 56332, 56431, 56530, 56629, 56728, 56827, 56926, 57025, 57124, 57223, 57322, 57421, 57520, 57619, 57718, 57817, 57916, 58015, 58114, 58213, 58312, 58411, 58510, 58609, 58708, 58807, 58906, 59005, 59104, 59203, 59302, 59401, 59500, 59599, 59698, 59797, 59896, 59995, 60094, 60193, 60292, 60391, 60490, 60589, 60688, 60787, 60886, 60985, 61084, 61183, 61282, 61381, 61480, 61579, 61678, 61777, 61876, 61975, 62074, 62173, 62272, 62371, 62470, 62569, 62668, 62767, 62866, 62965, 63064, 63163, 63262, 63361, 63460, 63559, 63658, 63757, 63856, 63955, 64054, 64153, 64252, 64351, 64450, 64549, 64648, 64747, 64846, 64945, 65044, 65143, 65242, 65341, 65440, 65539, 65638, 65737, 65836, 65935, 66034, 66133, 66232, 66331, 66430, 66529, 66628, 66727, 66826, 66925, 67024, 67123, 67222, 67321, 67420, 67519, 67618, 67717, 67816, 67915, 68014, 68113, 68212, 68311, 68410, 68509, 68608, 68707, 68806, 68905, 69004, 69103, 69202, 69301, 69400, 69499, 69598, 69697, 69796, 69895, 69994, 70093, 70192, 70291, 70390, 70489, 70588, 70687, 70786, 70885, 70984, 71083, 71182, 71281, 71380, 71479, 71578, 71677, 71776, 71875, 71974, 72073, 72172, 72271, 72370, 72469, 72568, 72667, 72766, 72865, 72964, 73063, 73162, 73261, 73360, 73459, 73558, 73657, 73756, 73855, 73954, 74053, 74152, 74251, 74350, 74449, 74548, 74647, 74746, 74845, 74944, 75043, 75142, 75241, 75340, 75439, 75538, 75637, 75736, 75835, 75934, 76033, 76132, 76231, 76330, 76429, 76528, 76627, 76726, 76825, 76924, 77023, 77122, 77221, 77320, 77419, 77518, 77617, 77716, 77815, 77914, 78013, 78112, 78211, 78310, 78409, 78508, 78607, 78706, 78805, 78904, 79003, 79102, 79201, 79300, 79399, 79498, 79597, 79696, 79795, 79894, 79993, 80092, 80191, 80290, 80389, 80488, 80587, 80686, 80785, 80884, 80983, 81082, 81181, 81280, 81379, 81478, 81577, 81676, 81775, 81874, 81973, 82072, 82171, 82270, 82369, 82468, 82567, 82666, 82765, 82864, 82963, 83062, 83161, 83260, 83359, 83458, 83557, 83656, 83755, 83854, 83953, 84052, 84151, 84250, 84349, 84448, 84547, 84646, 84745, 84844, 84943, 85042, 85141, 85240, 85339, 85438, 85537, 85636, 85735, 85834, 85933, 86032, 86131, 86230, 86329, 86428, 86527, 86626, 86725, 86824, 86923, 87022, 87121, 87220, 87319, 87418, 87517, 87616, 87715, 87814, 87913, 88012, 88111, 88210, 88309, 88408, 88507, 88606, 88705, 88804, 88903, 89002, 89101, 89200, 89299, 89398, 89497, 89596, 89695, 89794, 89893, 89992, 90091, 90190, 90289, 90388, 90487, 90586, 90685, 90784, 90883, 90982, 91081, 91180, 91279, 91378, 91477, 91576, 91675, 91774, 91873, 91972, 92071, 92170, 92269, 92368, 92467, 92566, 92665, 92764, 92863, 92962, 93061, 93160, 93259, 93358, 93457, 93556, 93655, 93754, 93853, 93952, 94051, 94150, 94249, 94348, 94447, 94546, 94645, 94744, 94843, 94942, 95041, 95140, 95239, 95338, 95437, 95536, 95635, 95734, 95833, 95932, 96031, 96130, 96229, 96328, 96427, 96526, 96625, 96724, 96823, 96922, 97021, 97120, 97219, 97318, 97417, 97516, 97615, 97714, 97813, 97912, 98011, 98110, 98209, 98308, 98407, 98506, 98605, 98704, 98803, 98902, 99001, 99100, 99199, 99298, 99397, 99496, 99595, 99694, 99793, 99892, 99991] \n",
    "pmean6= [4.95175, 4.95348, 4.95826, 4.95729, 4.94914, 4.95154, 4.95666, 4.9537, 4.95885, 4.95956, 4.95879, 4.97624, 4.98209, 4.98814, 5.00575, 5.02034, 5.02115, 5.03637, 5.03471, 5.0244, 5.01748, 5.01926, 5.02068, 5.03221, 5.03614, 5.04925, 5.04106, 5.05065, 5.04702, 5.04402, 5.05578, 5.03899, 5.04436, 5.03699, 5.05234, 5.06635, 5.06895, 5.05969, 5.07104, 5.07591, 5.07153, 5.07742, 5.07772, 5.07176, 5.07755, 5.07976, 5.06928, 5.06907, 5.08659, 5.09859, 5.09144, 5.1024, 5.11438, 5.12519, 5.10002, 5.10461, 5.12227, 5.11826, 5.13372, 5.13795, 5.13656, 5.1456, 5.15298, 5.15999, 5.16778, 5.17333, 5.16271, 5.1666, 5.16848, 5.16686, 5.17417, 5.16192, 5.16147, 5.15773, 5.15871, 5.15963, 5.17117, 5.15208, 5.15147, 5.1526, 5.18223, 5.17894, 5.17868, 5.181, 5.18402, 5.17959, 5.18003, 5.17873, 5.18944, 5.18146, 5.18382, 5.18436, 5.17804, 5.19, 5.21075, 5.20844, 5.18274, 5.21413, 5.21415, 5.218, 5.22295, 5.22249, 5.21443, 5.20982, 5.21098, 5.2221, 5.20956, 5.21224, 5.22567, 5.23115, 5.21971, 5.22236, 5.2202, 5.23448, 5.24467, 5.25213, 5.25562, 5.24817, 5.23518, 5.24353, 5.23253, 5.22439, 5.23608, 5.2498, 5.24704, 5.26652, 5.27018, 5.27544, 5.26068, 5.27785, 5.2929, 5.30609, 5.2954, 5.30194, 5.31379, 5.33158, 5.3417, 5.32544, 5.31868, 5.3251, 5.33322, 5.32113, 5.31266, 5.31578, 5.31194, 5.3494, 5.3733, 5.3519, 5.36615, 5.37786, 5.35797, 5.35887, 5.35528, 5.38112, 5.39365, 5.38041, 5.39655, 5.38789, 5.38332, 5.38325, 5.38779, 5.35913, 5.37114, 5.37221, 5.38198, 5.38797, 5.39514, 5.3942, 5.38693, 5.3978, 5.39713, 5.39653, 5.37862, 5.37373, 5.37606, 5.37492, 5.38579, 5.38688, 5.41347, 5.41537, 5.4201, 5.40494, 5.40481, 5.41829, 5.43335, 5.44447, 5.45014, 5.44479, 5.43439, 5.44203, 5.45272, 5.43846, 5.43896, 5.44505, 5.44423, 5.45418, 5.44779, 5.44519, 5.46613, 5.4437, 5.46192, 5.48841, 5.49317, 5.476, 5.47725, 5.49582, 5.50386, 5.51418, 5.51471, 5.50767, 5.50844, 5.51586, 5.51856, 5.51296, 5.52144, 5.50766, 5.52384, 5.53878, 5.55617, 5.54621, 5.54334, 5.55362, 5.56137, 5.56601, 5.55527, 5.55677, 5.56293, 5.54648, 5.55335, 5.5638, 5.58079, 5.58943, 5.5697, 5.57842, 5.60166, 5.60956, 5.60142, 5.59356, 5.56835, 5.56914, 5.584, 5.58377, 5.59465, 5.6145, 5.61825, 5.61137, 5.61672, 5.60731, 5.60669, 5.61056, 5.59754, 5.60892, 5.61362, 5.62346, 5.63015, 5.6267, 5.64839, 5.66002, 5.67398, 5.65439, 5.64496, 5.66376, 5.64171, 5.64009, 5.65322, 5.68028, 5.67155, 5.69332, 5.69186, 5.69464, 5.6885, 5.67807, 5.69743, 5.69888, 5.71455, 5.71013, 5.70206, 5.70006, 5.71629, 5.71014, 5.72294, 5.72618, 5.72538, 5.73057, 5.71809, 5.7135, 5.73458, 5.73606, 5.72401, 5.71317, 5.69841, 5.71734, 5.69882, 5.72423, 5.716, 5.72092, 5.72107, 5.7495, 5.75885, 5.74378, 5.73904, 5.73572, 5.73165, 5.73328, 5.70691, 5.72627, 5.72021, 5.73903, 5.74396, 5.76269, 5.75814, 5.77483, 5.77112, 5.79394, 5.80109, 5.79364, 5.80177, 5.80404, 5.80907, 5.82046, 5.82788, 5.82818, 5.82635, 5.83316, 5.83535, 5.83782, 5.82653, 5.82585, 5.84239, 5.83508, 5.82978, 5.83491, 5.81699, 5.8229, 5.8204, 5.826, 5.84181, 5.85589, 5.86554, 5.86278, 5.87214, 5.87021, 5.87311, 5.89013, 5.90271, 5.88195, 5.8752, 5.87722, 5.87218, 5.87155, 5.85514, 5.86482, 5.87587, 5.88943, 5.89711, 5.9094, 5.92904, 5.93349, 5.94379, 5.94355, 5.94028, 5.93453, 5.94105, 5.93202, 5.92952, 5.9381, 5.93701, 5.95249, 5.94747, 5.952, 5.93593, 5.95688, 5.94811, 5.93901, 5.9267, 5.93742, 5.94746, 5.96376, 5.97589, 5.97448, 5.96841, 5.97432, 5.98521, 5.9681, 5.95428, 5.94844, 5.95564, 5.96672, 5.95566, 5.95395, 5.95967, 5.96198, 5.9763, 5.98353, 5.9822, 5.99539, 6.00963, 6.01791, 5.99539, 5.98597, 5.99118, 5.98286, 6.00132, 6.0022, 6.00646, 5.99113, 6.00385, 6.00429, 6.00516, 6.01747, 6.01281, 6.01647, 6.03694, 6.04073, 6.04929, 6.06407, 6.0729, 6.06731, 6.07443, 6.07516, 6.07285, 6.09457, 6.10096, 6.11301, 6.12235, 6.12596, 6.11633, 6.11038, 6.12424, 6.12131, 6.11079, 6.12904, 6.12348, 6.12453, 6.12473, 6.14, 6.14189, 6.15438, 6.16725, 6.15832, 6.15592, 6.16091, 6.16726, 6.15454, 6.15327, 6.14998, 6.14389, 6.16363, 6.19891, 6.19071, 6.20416, 6.22215, 6.21408, 6.24117, 6.2206, 6.22294, 6.21205, 6.19909, 6.2034, 6.2147, 6.22137, 6.22529, 6.23607, 6.24029, 6.2444, 6.24976, 6.24914, 6.24946, 6.2688, 6.27388, 6.27779, 6.284, 6.28347, 6.28314, 6.28873, 6.28055, 6.29065, 6.29988, 6.30429, 6.29425, 6.29404, 6.29061, 6.288, 6.26775, 6.272, 6.29186, 6.30226, 6.31373, 6.29513, 6.30086, 6.31468, 6.33519, 6.34472, 6.34271, 6.33806, 6.34558, 6.32082, 6.32775, 6.33005, 6.31815, 6.31786, 6.3126, 6.32452, 6.32803, 6.34393, 6.33754, 6.3414, 6.34687, 6.34705, 6.35591, 6.36768, 6.37357, 6.39078, 6.40171, 6.39981, 6.38721, 6.38468, 6.38527, 6.37488, 6.39289, 6.41364, 6.39762, 6.38821, 6.38398, 6.37303, 6.38652, 6.39052, 6.40074, 6.40232, 6.4013, 6.40138, 6.41089, 6.40289, 6.39624, 6.39994, 6.41553, 6.42789, 6.47413, 6.49004, 6.488, 6.48059, 6.48946, 6.479, 6.50014, 6.51437, 6.51165, 6.5237, 6.51659, 6.52228, 6.51548, 6.50225, 6.50718, 6.49228, 6.47382, 6.49414, 6.52469, 6.53409, 6.54453, 6.5397, 6.56334, 6.54512, 6.56471, 6.54653, 6.53985, 6.53174, 6.537, 6.54487, 6.54558, 6.51931, 6.52896, 6.54311, 6.55233, 6.55772, 6.56167, 6.56972, 6.58212, 6.58647, 6.59036, 6.5903, 6.60796, 6.62818, 6.66096, 6.67348, 6.67591, 6.68369, 6.69448, 6.71151, 6.7037, 6.69332, 6.67526, 6.67416, 6.65662, 6.6621, 6.65962, 6.66565, 6.66659, 6.66187, 6.67197, 6.69864, 6.68799, 6.69248, 6.69207, 6.70115, 6.68645, 6.69363, 6.69747, 6.6939, 6.67329, 6.6698, 6.71718, 6.72617, 6.72298, 6.70058, 6.73093, 6.72344, 6.71444, 6.7068, 6.70551, 6.70293, 6.7012, 6.7082, 6.72087, 6.70267, 6.70195, 6.70566, 6.69961, 6.71469, 6.71567, 6.71407, 6.69499, 6.6878, 6.69369, 6.71861, 6.72503, 6.73711, 6.75951, 6.77271, 6.77047, 6.75192, 6.74888, 6.74022, 6.7447, 6.73389, 6.74382, 6.76026, 6.7872, 6.80769, 6.7882, 6.78534, 6.80501, 6.80077, 6.80791, 6.81653, 6.82428, 6.82246, 6.82307, 6.81562, 6.82593, 6.85759, 6.85356, 6.86769, 6.87091, 6.86447, 6.89178, 6.89982, 6.89662, 6.90281, 6.89398, 6.91388, 6.92959, 6.94012, 6.93509, 6.93974, 6.95603, 6.95194, 6.94541, 6.97087, 6.97357, 6.96172, 6.99609, 6.96586, 6.97081, 6.97891, 6.97893, 6.99237, 7.0063, 7.00334, 7.00561, 6.99098, 6.99425, 6.98929, 6.98201, 6.9983, 6.9894, 6.99644, 6.98004, 6.9584, 6.97192, 6.97944, 6.99107, 6.9963, 7.01374, 7.01705, 7.02085, 7.03012, 7.02805, 7.02813, 7.01312, 7.05624, 7.06016, 7.0837, 7.05815, 7.06006, 7.04262, 7.05389, 7.04935, 7.04177, 7.03804, 7.03993, 7.05276, 7.04117, 7.05123, 7.05594, 7.07592, 7.07466, 7.0687, 7.07568, 7.07689, 7.08829, 7.09193, 7.08319, 7.07878, 7.06516, 7.0968, 7.11114, 7.12981, 7.14828, 7.14365, 7.15447, 7.17478, 7.18307, 7.16991, 7.18562, 7.20772, 7.20806, 7.22932, 7.25907, 7.27156, 7.2685, 7.27569, 7.25206, 7.22687, 7.22021, 7.23698, 7.23191, 7.23529, 7.22241, 7.22456, 7.2358, 7.22937, 7.24686, 7.23342, 7.24214, 7.2263, 7.22606, 7.19014, 7.18104, 7.2119, 7.20571, 7.24991, 7.25956, 7.25855, 7.24924, 7.2771, 7.28787, 7.2973, 7.28624, 7.27988, 7.267, 7.2615, 7.26962, 7.27764, 7.29496, 7.30973, 7.32879, 7.35192, 7.3634, 7.36915, 7.38301, 7.38706, 7.36893, 7.3673, 7.36864, 7.37811, 7.37116, 7.35176, 7.36409, 7.36593, 7.35114, 7.36239, 7.35175, 7.36643, 7.40741, 7.40704, 7.38401, 7.38131, 7.38127, 7.39451, 7.41245, 7.40758, 7.42085, 7.42326, 7.46227, 7.46531, 7.46672, 7.47089, 7.46649, 7.45129, 7.45813, 7.44299, 7.45179, 7.47134, 7.49835, 7.51981, 7.54385, 7.53596, 7.52984, 7.52551, 7.53452, 7.51953, 7.51086, 7.49937, 7.49847, 7.49137, 7.4807, 7.46801, 7.45634, 7.44588, 7.46334, 7.46063, 7.47667, 7.49988, 7.48675, 7.50618, 7.50878, 7.48439, 7.45605, 7.4648, 7.47416, 7.46542, 7.48562, 7.50894, 7.53438, 7.53863, 7.54786, 7.57361, 7.58296, 7.58627, 7.59527, 7.62145, 7.63196, 7.66547, 7.70072, 7.70646, 7.69295, 7.69972, 7.6761, 7.66593, 7.65135, 7.62736, 7.62351, 7.63166, 7.64276, 7.66527, 7.68422, 7.68462, 7.68477, 7.70341, 7.69844, 7.70743, 7.72593, 7.74403, 7.72386, 7.72554, 7.72663, 7.71269, 7.69632, 7.69491, 7.69065, 7.70292, 7.70739, 7.72532, 7.71916, 7.73894, 7.73766, 7.74699, 7.74487, 7.74384, 7.75051, 7.7614, 7.78466, 7.8121, 7.78043, 7.7891, 7.82259, 7.81786, 7.8384, 7.8445, 7.85882, 7.85417, 7.84158, 7.86085, 7.83659, 7.82943, 7.83953, 7.84194, 7.87224, 7.86467, 7.86724, 7.87965, 7.90304, 7.89617, 7.9019, 7.9047, 7.90173, 7.90584, 7.89475, 7.89186, 7.92917, 7.92034, 7.92566, 7.95814, 7.95946, 7.9431, 7.93302, 7.92513, 7.95635, 7.96956, 7.98694, 7.98654, 7.96544, 7.97124, 7.97076, 7.98564, 7.96724, 7.95221, 7.9558, 7.94306, 7.93372, 7.93075, 7.93029, 7.9337, 7.91902, 7.94172, 7.95314, 7.94585, 7.96648, 7.93979, 7.96646, 7.97223, 7.96301, 7.98898, 7.9827, 7.99814, 8.01086, 7.994, 7.98441, 7.99373, 8.00977, 8.00163, 7.98782, 7.99388, 7.98828, 8.00938, 8.02469, 8.02893, 8.04438, 8.03802, 8.03131, 8.03106, 8.02972, 8.04041, 8.06868, 8.06859, 8.08601, 8.08677, 8.07953, 8.09073, 8.11351, 8.09975, 8.1255, 8.12909, 8.10913, 8.11908, 8.05682, 8.05741, 8.08575, 8.10977, 8.13644, 8.14434, 8.1277, 8.13095, 8.12248, 8.14564, 8.15562, 8.17303, 8.17457, 8.17675, 8.20647, 8.21563, 8.20336] \n",
    "pvar6= [0.937772, 0.937303, 0.939086, 0.938472, 0.938328, 0.93317, 0.936474, 0.931727, 0.931273, 0.940158, 0.962424, 0.957884, 0.944076, 0.951835, 0.966233, 0.977432, 0.982985, 0.984538, 0.955378, 0.963487, 0.951356, 0.961686, 0.988, 0.997096, 0.995246, 0.986836, 0.980927, 0.994196, 1.00623, 1.01243, 1.0401, 1.03322, 1.05677, 1.0611, 1.04939, 1.06087, 1.03977, 1.02493, 1.02113, 1.02842, 1.03419, 1.02031, 1.02208, 0.994699, 1.00753, 1.00425, 1.013, 1.0189, 0.995915, 0.989468, 0.970244, 0.960487, 0.978356, 0.992827, 1.01187, 1.01699, 1.04126, 1.03031, 1.02479, 1.07378, 1.08229, 1.09011, 1.08768, 1.07672, 1.0688, 1.05892, 1.04865, 1.06939, 1.07348, 1.06194, 1.06116, 1.07515, 1.0362, 1.0425, 1.06519, 1.07388, 1.0861, 1.0702, 1.06229, 1.06962, 1.08661, 1.07493, 1.06422, 1.06524, 1.07168, 1.06746, 1.07405, 1.06023, 1.06681, 1.07761, 1.06944, 1.08055, 1.09663, 1.1141, 1.12112, 1.12137, 1.11521, 1.14112, 1.12553, 1.1215, 1.10936, 1.12372, 1.1263, 1.11008, 1.1254, 1.13895, 1.11836, 1.10686, 1.11267, 1.11002, 1.11059, 1.12211, 1.1449, 1.13501, 1.13004, 1.11182, 1.09954, 1.11052, 1.09935, 1.10644, 1.09939, 1.11644, 1.14432, 1.1451, 1.13339, 1.13378, 1.17998, 1.14633, 1.15613, 1.15582, 1.14922, 1.14541, 1.13543, 1.12754, 1.13167, 1.10062, 1.08531, 1.0803, 1.09553, 1.1007, 1.11085, 1.12908, 1.12079, 1.10224, 1.11589, 1.13587, 1.1432, 1.119, 1.10003, 1.07995, 1.08126, 1.09215, 1.12379, 1.1513, 1.13621, 1.12271, 1.14251, 1.1495, 1.1537, 1.13867, 1.13714, 1.14151, 1.13245, 1.13934, 1.17597, 1.14347, 1.17191, 1.17415, 1.18768, 1.18626, 1.20621, 1.21832, 1.21515, 1.21748, 1.21348, 1.221, 1.23228, 1.24692, 1.24753, 1.21562, 1.19062, 1.18076, 1.18154, 1.18608, 1.21119, 1.22294, 1.22434, 1.20066, 1.18242, 1.1886, 1.17965, 1.18921, 1.16872, 1.17099, 1.16957, 1.17389, 1.17132, 1.14877, 1.13848, 1.15144, 1.16669, 1.18033, 1.1823, 1.20163, 1.1728, 1.19678, 1.19655, 1.20456, 1.20027, 1.21629, 1.19539, 1.19999, 1.22459, 1.22651, 1.22355, 1.20497, 1.22069, 1.24401, 1.22465, 1.23508, 1.24292, 1.2452, 1.25267, 1.21558, 1.19612, 1.20134, 1.18494, 1.19507, 1.18862, 1.18771, 1.18881, 1.18401, 1.18619, 1.18459, 1.19928, 1.19609, 1.18798, 1.20406, 1.20415, 1.21092, 1.22395, 1.22744, 1.24106, 1.27129, 1.25919, 1.24761, 1.24935, 1.23809, 1.24505, 1.23611, 1.24379, 1.22599, 1.24435, 1.24938, 1.26843, 1.27713, 1.272, 1.2517, 1.21884, 1.22549, 1.24092, 1.23884, 1.24709, 1.23825, 1.23496, 1.21665, 1.21798, 1.24572, 1.21536, 1.21316, 1.21088, 1.23699, 1.23082, 1.22215, 1.24042, 1.27163, 1.28771, 1.28961, 1.30656, 1.30278, 1.28806, 1.29934, 1.29583, 1.29751, 1.31597, 1.34611, 1.35402, 1.38758, 1.37379, 1.34838, 1.32586, 1.33728, 1.35661, 1.33159, 1.36997, 1.36128, 1.35982, 1.35356, 1.33141, 1.35809, 1.34065, 1.32035, 1.31465, 1.3232, 1.34118, 1.3741, 1.37046, 1.37798, 1.40067, 1.40476, 1.38847, 1.37066, 1.40896, 1.44211, 1.4484, 1.40515, 1.36502, 1.35339, 1.34301, 1.31596, 1.31282, 1.33371, 1.32113, 1.32813, 1.32635, 1.31636, 1.3067, 1.27885, 1.29977, 1.31625, 1.3257, 1.30984, 1.30935, 1.29639, 1.3562, 1.34159, 1.32103, 1.31106, 1.28459, 1.2753, 1.28998, 1.30699, 1.30899, 1.33745, 1.36408, 1.36272, 1.36849, 1.37731, 1.36699, 1.35337, 1.36083, 1.36199, 1.37075, 1.40862, 1.40967, 1.39056, 1.40519, 1.42092, 1.43324, 1.39762, 1.38048, 1.38509, 1.42061, 1.39458, 1.40394, 1.37975, 1.35488, 1.36004, 1.38682, 1.38931, 1.41596, 1.41691, 1.38977, 1.40666, 1.42708, 1.45557, 1.42106, 1.44617, 1.43662, 1.45904, 1.43541, 1.45511, 1.4875, 1.45605, 1.47232, 1.47247, 1.46406, 1.46946, 1.50147, 1.48822, 1.48237, 1.46869, 1.48692, 1.45453, 1.44751, 1.44664, 1.42651, 1.43565, 1.4356, 1.4715, 1.47135, 1.46342, 1.47071, 1.43824, 1.44009, 1.44089, 1.46477, 1.50733, 1.50881, 1.50968, 1.51213, 1.49576, 1.50918, 1.48514, 1.48108, 1.48023, 1.47175, 1.52188, 1.54365, 1.54329, 1.53857, 1.55373, 1.56093, 1.55467, 1.53667, 1.53808, 1.52588, 1.47124, 1.45935, 1.45634, 1.4597, 1.44865, 1.44696, 1.44982, 1.43341, 1.40774, 1.42629, 1.43004, 1.40785, 1.44898, 1.41715, 1.40295, 1.35734, 1.35621, 1.4029, 1.41033, 1.41808, 1.44067, 1.47116, 1.49199, 1.49382, 1.4849, 1.48053, 1.47935, 1.5005, 1.51124, 1.54958, 1.57889, 1.56224, 1.57895, 1.61237, 1.5985, 1.6085, 1.59177, 1.59661, 1.62371, 1.6044, 1.56281, 1.5495, 1.55935, 1.52413, 1.53675, 1.545, 1.53774, 1.54114, 1.56351, 1.58832, 1.57501, 1.5984, 1.65344, 1.63132, 1.60899, 1.60088, 1.59285, 1.60539, 1.58692, 1.54481, 1.58576, 1.63084, 1.60281, 1.60548, 1.60539, 1.59398, 1.60509, 1.62609, 1.63221, 1.6351, 1.63543, 1.6181, 1.6349, 1.65649, 1.66687, 1.67114, 1.67138, 1.66006, 1.66185, 1.63221, 1.60893, 1.62212, 1.62768, 1.64076, 1.65452, 1.62147, 1.66531, 1.64811, 1.67237, 1.67652, 1.70869, 1.68425, 1.68803, 1.692, 1.7022, 1.69115, 1.68367, 1.7197, 1.71955, 1.69625, 1.66709, 1.69349, 1.67146, 1.61115, 1.60553, 1.59871, 1.60285, 1.57663, 1.57664, 1.55001, 1.59226, 1.61902, 1.60793, 1.60378, 1.59581, 1.59539, 1.60696, 1.63457, 1.61718, 1.63183, 1.62419, 1.63228, 1.62107, 1.61591, 1.60507, 1.56916, 1.56691, 1.56259, 1.61725, 1.64906, 1.63953, 1.64436, 1.69535, 1.69263, 1.69304, 1.70264, 1.66395, 1.63558, 1.66485, 1.6784, 1.66191, 1.7179, 1.72347, 1.74201, 1.72546, 1.75386, 1.77097, 1.76801, 1.75935, 1.76758, 1.72045, 1.73607, 1.73277, 1.79044, 1.88974, 1.85402, 1.90907, 1.85449, 1.83338, 1.82851, 1.85979, 1.87809, 1.87378, 1.84315, 1.82744, 1.81063, 1.81218, 1.79961, 1.85384, 1.82579, 1.85436, 1.85532, 1.85534, 1.88328, 1.87551, 1.87098, 1.91638, 1.88986, 1.85651, 1.84543, 1.82714, 1.82637, 1.82901, 1.82308, 1.81427, 1.84564, 1.8058, 1.83196, 1.86774, 1.82117, 1.81535, 1.81079, 1.80744, 1.81215, 1.81598, 1.84407, 1.84701, 1.84483, 1.8187, 1.78898, 1.80607, 1.87088, 1.84133, 1.80036, 1.82718, 1.8216, 1.82055, 1.82876, 1.84678, 1.86101, 1.86067, 1.86338, 1.86167, 1.87711, 1.86876, 1.87019, 1.89684, 1.85981, 1.81187, 1.79715, 1.85431, 1.87686, 1.8877, 1.8503, 1.86453, 1.8305, 1.85349, 1.85132, 1.89471, 1.91615, 1.9437, 1.96169, 1.9315, 1.96591, 1.96135, 1.94353, 1.96977, 1.97721, 2.00052, 2.02684, 1.98114, 2.00255, 1.95107, 1.96089, 1.95571, 1.92625, 1.95786, 1.90778, 1.90413, 1.88678, 1.9154, 1.89813, 1.88272, 1.90095, 1.88082, 1.89306, 1.87992, 1.86684, 1.85975, 1.867, 1.84416, 1.82587, 1.86033, 1.85048, 1.8118, 1.87949, 1.90143, 1.92436, 1.98383, 1.9228, 1.90533, 1.89624, 1.86166, 1.85249, 1.85036, 1.84236, 1.89069, 1.8794, 1.88915, 1.95503, 1.97796, 1.98665, 2.0029, 1.98065, 1.9921, 1.95248, 2.0004, 2.00615, 2.01222, 2.01193, 2.02164, 2.00488, 2.05933, 2.03798, 2.02758, 1.99564, 2.04435, 2.11975, 2.15886, 2.17455, 2.17231, 2.15058, 2.14481, 2.13528, 2.16198, 2.184, 2.15397, 2.15687, 2.17313, 2.15824, 2.17502, 2.13313, 2.13635, 2.17444, 2.18865, 2.17567, 2.17245, 2.18085, 2.21264, 2.23021, 2.21622, 2.21173, 2.19152, 2.16794, 2.18161, 2.18463, 2.15979, 2.13726, 2.1367, 2.12986, 2.15195, 2.12157, 2.12881, 2.1078, 2.13135, 2.13802, 2.115, 2.07492, 2.09268, 2.06964, 2.05626, 2.06254, 2.09226, 2.09143, 2.07014, 2.03111, 2.02423, 1.99591, 1.98123, 1.97734, 1.95818, 1.95526, 1.98916, 1.9701, 1.98696, 2.00482, 2.05268, 2.05643, 2.10698, 2.09778, 2.14686, 2.13732, 2.1271, 2.16125, 2.12807, 2.09341, 2.12058, 2.09552, 2.08221, 2.05624, 2.02037, 2.09803, 2.12679, 2.09344, 2.12293, 2.10857, 2.10191, 2.09546, 2.10492, 2.09972, 2.11601, 2.12472, 2.09687, 2.16658, 2.15071, 2.18913, 2.19809, 2.19924, 2.1421, 2.14527, 2.12302, 2.14558, 2.14286, 2.1532, 2.12813, 2.11545, 2.11279, 2.13292, 2.09667, 2.09012, 2.10634, 2.12631, 2.16949, 2.17201, 2.14567, 2.13975, 2.14234, 2.09105, 2.11199, 2.11613, 2.1257, 2.1333, 2.11187, 2.11217, 2.1406, 2.1259, 2.1373, 2.19478, 2.25498, 2.25564, 2.21283, 2.19492, 2.25859, 2.2596, 2.26979, 2.28313, 2.25673, 2.24699, 2.31422, 2.34504, 2.36209, 2.4056, 2.35201, 2.34789, 2.41738, 2.38364, 2.34882, 2.38998, 2.36597, 2.35425, 2.32828, 2.29819, 2.33398, 2.30428, 2.3203, 2.34848, 2.32065, 2.28349, 2.31207, 2.27243, 2.22681, 2.27122, 2.27301, 2.28503, 2.29174, 2.31473, 2.33075, 2.33607, 2.36229, 2.32436, 2.33003, 2.26728, 2.33733, 2.28307, 2.28137, 2.27269, 2.30193, 2.28008, 2.29855, 2.36507, 2.36551, 2.36828, 2.4001, 2.40163, 2.44658, 2.49696, 2.55977, 2.59602, 2.57552, 2.57749, 2.58515, 2.57503, 2.55596, 2.59581, 2.54376, 2.5372, 2.50788, 2.49995, 2.4847, 2.47333, 2.47753, 2.46891, 2.48671, 2.48787, 2.50312, 2.53941, 2.53235, 2.51008, 2.56257, 2.55492, 2.53409, 2.50589, 2.50086, 2.48893, 2.56851, 2.58804, 2.55536, 2.49671, 2.49042, 2.5358, 2.5699, 2.55272, 2.55746, 2.5668, 2.59752, 2.61386, 2.60537, 2.58895, 2.58755, 2.53598, 2.59933, 2.61117, 2.59629, 2.6161, 2.63284, 2.62312, 2.59772, 2.56307, 2.55366, 2.52163, 2.53711, 2.48917, 2.44056, 2.41437, 2.4741, 2.53949, 2.53414, 2.49612, 2.50776, 2.50731, 2.48229, 2.49617, 2.48133, 2.47724, 2.48849, 2.48661, 2.435, 2.45386, 2.40759, 2.44039, 2.44577, 2.45182, 2.48146, 2.47604, 2.47597, 2.50985, 2.49112, 2.47974, 2.51072, 2.5032, 2.53721, 2.61713, 2.66407, 2.63211, 2.69599, 2.65099, 2.6969, 2.74889, 2.71182, 2.7328, 2.71009, 2.71796, 2.68316, 2.72533, 2.67754, 2.6943, 2.69558, 2.71396, 2.73571, 2.66749, 2.68087, 2.65398, 2.7424, 2.745] \n",
    "vmean6= [4.9496, 4.94673, 4.95184, 4.94484, 4.93417, 4.9446, 4.96533, 4.95468, 4.97494, 4.97313, 4.96198, 4.97583, 4.98537, 4.99343, 5.02306, 5.04109, 5.04512, 5.06438, 5.06723, 5.06415, 5.06731, 5.06051, 5.05404, 5.06563, 5.0607, 5.06276, 5.0492, 5.04441, 5.04727, 5.054, 5.07596, 5.06375, 5.06769, 5.05298, 5.06035, 5.06645, 5.07596, 5.06664, 5.07771, 5.08271, 5.07178, 5.09498, 5.09536, 5.10422, 5.09924, 5.08666, 5.07268, 5.08785, 5.08993, 5.10306, 5.09863, 5.11014, 5.11814, 5.13921, 5.11595, 5.11925, 5.14513, 5.15551, 5.15441, 5.14958, 5.15676, 5.16574, 5.1667, 5.16825, 5.19664, 5.20509, 5.18437, 5.19551, 5.19106, 5.1878, 5.18933, 5.17876, 5.17519, 5.16762, 5.15818, 5.14897, 5.17061, 5.14577, 5.14562, 5.14939, 5.17082, 5.18149, 5.18023, 5.18716, 5.19298, 5.1931, 5.17997, 5.19938, 5.21415, 5.21067, 5.19375, 5.19334, 5.18483, 5.19413, 5.21282, 5.21728, 5.18613, 5.22785, 5.21417, 5.23717, 5.24046, 5.24491, 5.24199, 5.23391, 5.21646, 5.22441, 5.23664, 5.21607, 5.22949, 5.23524, 5.21726, 5.2154, 5.22117, 5.23984, 5.26167, 5.26025, 5.27753, 5.26616, 5.24766, 5.25317, 5.24642, 5.24437, 5.25167, 5.25429, 5.245, 5.26121, 5.26164, 5.27182, 5.27019, 5.28747, 5.31503, 5.34721, 5.33164, 5.3223, 5.34614, 5.35181, 5.36953, 5.35524, 5.36972, 5.35478, 5.36257, 5.33883, 5.33824, 5.33298, 5.32893, 5.34657, 5.36018, 5.35141, 5.3819, 5.39169, 5.36548, 5.37788, 5.39288, 5.41409, 5.4481, 5.4048, 5.39509, 5.40606, 5.39116, 5.38512, 5.40826, 5.37833, 5.397, 5.38292, 5.37351, 5.38521, 5.37828, 5.38652, 5.38227, 5.39771, 5.39919, 5.42224, 5.39763, 5.39296, 5.38458, 5.3762, 5.38016, 5.38227, 5.40516, 5.4034, 5.41654, 5.40456, 5.4207, 5.4415, 5.46021, 5.47564, 5.48182, 5.47909, 5.45465, 5.45719, 5.46282, 5.46343, 5.46518, 5.47018, 5.44918, 5.4553, 5.44941, 5.44055, 5.47614, 5.45877, 5.45344, 5.496, 5.5066, 5.48933, 5.49376, 5.50381, 5.52883, 5.5502, 5.53353, 5.55441, 5.545, 5.52391, 5.52891, 5.54837, 5.55182, 5.5269, 5.53255, 5.53766, 5.56354, 5.55988, 5.56677, 5.57314, 5.5789, 5.58614, 5.57586, 5.59374, 5.59339, 5.56626, 5.55366, 5.56591, 5.58987, 5.59462, 5.57575, 5.57916, 5.61308, 5.62722, 5.61722, 5.62725, 5.60168, 5.59264, 5.5882, 5.57579, 5.6146, 5.62714, 5.60973, 5.58988, 5.6079, 5.6108, 5.64053, 5.63842, 5.62122, 5.63397, 5.62764, 5.62887, 5.62562, 5.62767, 5.64638, 5.67311, 5.69399, 5.68066, 5.67509, 5.69484, 5.66749, 5.66489, 5.67003, 5.70727, 5.67586, 5.70165, 5.68469, 5.70477, 5.7153, 5.68308, 5.73257, 5.7401, 5.74926, 5.72136, 5.7308, 5.70563, 5.72539, 5.72073, 5.7384, 5.75376, 5.73742, 5.74934, 5.71465, 5.72575, 5.7453, 5.75836, 5.73462, 5.72902, 5.69385, 5.71279, 5.69578, 5.71465, 5.71486, 5.73162, 5.70341, 5.73328, 5.75304, 5.74643, 5.77122, 5.7495, 5.76339, 5.74758, 5.71557, 5.73552, 5.73233, 5.72601, 5.71739, 5.74665, 5.75613, 5.77547, 5.77832, 5.81172, 5.84289, 5.83054, 5.85151, 5.85154, 5.85061, 5.85518, 5.87256, 5.8616, 5.86678, 5.85703, 5.84665, 5.85886, 5.8463, 5.84699, 5.85813, 5.84927, 5.83305, 5.83458, 5.82085, 5.81872, 5.81848, 5.82117, 5.84463, 5.86247, 5.85966, 5.86464, 5.88086, 5.87872, 5.89961, 5.9219, 5.94595, 5.92429, 5.91183, 5.89491, 5.88512, 5.88815, 5.8661, 5.87075, 5.87595, 5.87871, 5.87493, 5.89826, 5.93155, 5.94021, 5.95941, 5.96833, 5.98733, 5.98038, 5.98312, 5.96843, 5.96608, 5.96336, 5.94468, 5.95772, 5.94559, 5.95479, 5.93654, 5.96365, 5.94763, 5.94901, 5.93869, 5.94425, 5.9559, 5.96275, 5.97456, 5.96981, 5.98712, 5.97395, 5.99609, 5.98702, 5.99073, 5.97619, 5.97403, 5.96358, 5.94915, 5.94113, 5.95506, 5.94957, 5.95337, 5.97591, 5.99029, 6.00913, 6.03429, 6.02963, 6.02807, 6.01431, 6.01889, 6.00774, 6.0226, 6.01834, 6.02856, 5.99583, 5.99576, 5.98388, 6.00081, 6.03021, 6.02433, 6.04188, 6.04711, 6.05175, 6.05933, 6.09321, 6.09824, 6.09843, 6.11111, 6.10355, 6.10628, 6.14112, 6.12996, 6.14092, 6.15572, 6.1537, 6.14445, 6.14454, 6.1569, 6.15541, 6.14934, 6.15587, 6.14144, 6.13166, 6.12075, 6.13234, 6.1473, 6.17052, 6.18667, 6.16772, 6.18288, 6.18147, 6.18979, 6.17901, 6.18058, 6.17162, 6.1633, 6.16683, 6.18458, 6.19617, 6.21311, 6.23334, 6.22626, 6.27007, 6.25762, 6.26995, 6.28127, 6.25528, 6.22824, 6.23936, 6.23697, 6.22191, 6.23805, 6.22516, 6.24176, 6.25012, 6.26381, 6.27344, 6.30403, 6.30755, 6.30362, 6.31564, 6.31152, 6.30967, 6.31137, 6.30027, 6.31106, 6.32424, 6.32083, 6.30846, 6.30669, 6.29903, 6.29867, 6.27962, 6.27302, 6.30025, 6.29465, 6.30702, 6.27622, 6.29647, 6.30639, 6.33348, 6.35485, 6.38084, 6.37762, 6.3725, 6.33964, 6.33688, 6.3632, 6.34459, 6.33937, 6.31469, 6.31724, 6.31289, 6.33094, 6.32378, 6.34761, 6.35117, 6.35092, 6.36657, 6.39021, 6.39969, 6.41528, 6.43349, 6.42029, 6.4183, 6.41704, 6.41396, 6.40505, 6.4142, 6.44149, 6.42293, 6.39349, 6.37623, 6.35996, 6.38458, 6.39423, 6.40182, 6.41096, 6.39924, 6.37911, 6.39612, 6.40983, 6.40276, 6.41531, 6.42929, 6.44291, 6.4857, 6.51791, 6.5149, 6.5116, 6.52522, 6.52505, 6.55385, 6.58777, 6.57824, 6.58621, 6.54037, 6.53286, 6.52901, 6.52752, 6.51895, 6.51932, 6.48337, 6.49764, 6.51792, 6.51787, 6.54642, 6.52817, 6.56608, 6.56567, 6.58038, 6.5805, 6.60086, 6.5867, 6.56413, 6.55369, 6.54372, 6.52008, 6.50867, 6.53857, 6.53185, 6.54121, 6.558, 6.5812, 6.59077, 6.59767, 6.59826, 6.62365, 6.65357, 6.66381, 6.70227, 6.71576, 6.73189, 6.73605, 6.74241, 6.76014, 6.77006, 6.77479, 6.74746, 6.73835, 6.69263, 6.67459, 6.66423, 6.67008, 6.64887, 6.6282, 6.6353, 6.66945, 6.6846, 6.68796, 6.70198, 6.71415, 6.70859, 6.70934, 6.72585, 6.72767, 6.68919, 6.66454, 6.71572, 6.73179, 6.72706, 6.69794, 6.73998, 6.73813, 6.72687, 6.72188, 6.74435, 6.7431, 6.70422, 6.69608, 6.70981, 6.7085, 6.68216, 6.6813, 6.68435, 6.7055, 6.71575, 6.71094, 6.69704, 6.6856, 6.68607, 6.717, 6.7235, 6.74214, 6.77119, 6.77483, 6.78339, 6.76766, 6.78158, 6.78947, 6.80021, 6.77295, 6.76407, 6.78092, 6.78886, 6.79499, 6.77336, 6.78924, 6.82612, 6.83391, 6.8469, 6.87016, 6.87006, 6.86497, 6.85006, 6.823, 6.83806, 6.88614, 6.8753, 6.88908, 6.89307, 6.88922, 6.92122, 6.93772, 6.93238, 6.94181, 6.93825, 6.94134, 6.96443, 6.96815, 6.9657, 6.98395, 6.98224, 6.974, 6.97729, 7.00601, 7.03057, 7.00558, 7.02149, 6.99336, 6.99286, 7.00315, 6.992, 7.01669, 7.03155, 7.01657, 7.00947, 7.0203, 6.99777, 7.0122, 7.0019, 7.01691, 7.01156, 7.00544, 6.96763, 6.94489, 6.94973, 6.97055, 6.98457, 6.9879, 7.01719, 7.00631, 7.02209, 7.02419, 7.05066, 7.07563, 7.04848, 7.08907, 7.08953, 7.11943, 7.08506, 7.09054, 7.0648, 7.06857, 7.06857, 7.06324, 7.07715, 7.04325, 7.05102, 7.01468, 7.04427, 7.04443, 7.07506, 7.0756, 7.07233, 7.08735, 7.09829, 7.10893, 7.11, 7.10553, 7.09549, 7.08964, 7.10458, 7.1176, 7.14569, 7.16304, 7.16697, 7.16536, 7.19749, 7.22613, 7.21122, 7.26562, 7.26975, 7.26713, 7.28419, 7.29877, 7.3343, 7.32793, 7.3276, 7.28261, 7.29015, 7.27185, 7.27685, 7.26589, 7.25987, 7.217, 7.19629, 7.20432, 7.1899, 7.22518, 7.23052, 7.25327, 7.21751, 7.22487, 7.186, 7.18594, 7.20592, 7.19693, 7.23703, 7.23726, 7.25509, 7.2199, 7.28056, 7.29057, 7.34923, 7.35267, 7.33651, 7.33538, 7.29211, 7.27721, 7.29809, 7.31957, 7.32331, 7.32532, 7.3419, 7.37063, 7.38629, 7.43314, 7.44998, 7.4396, 7.44224, 7.42555, 7.43243, 7.40761, 7.37766, 7.38161, 7.37087, 7.3398, 7.35223, 7.34069, 7.35683, 7.39541, 7.39939, 7.38184, 7.39448, 7.3897, 7.41094, 7.4408, 7.42836, 7.46154, 7.46595, 7.47024, 7.46935, 7.48876, 7.51332, 7.51609, 7.5046, 7.49062, 7.48574, 7.48715, 7.51062, 7.5119, 7.53387, 7.55867, 7.54634, 7.54937, 7.56594, 7.57271, 7.58267, 7.57209, 7.54489, 7.52788, 7.49522, 7.44838, 7.44022, 7.4303, 7.41254, 7.41399, 7.42342, 7.44188, 7.47428, 7.4662, 7.48916, 7.50326, 7.48655, 7.47397, 7.49358, 7.50123, 7.48526, 7.49151, 7.50491, 7.53456, 7.52101, 7.52896, 7.58869, 7.64211, 7.64413, 7.6525, 7.7119, 7.71249, 7.73974, 7.766, 7.77891, 7.77062, 7.77811, 7.75278, 7.74277, 7.72368, 7.67049, 7.66452, 7.63999, 7.60682, 7.61719, 7.65244, 7.64117, 7.65639, 7.69438, 7.70457, 7.7508, 7.78508, 7.80032, 7.78392, 7.77044, 7.74964, 7.74096, 7.72693, 7.7103, 7.70048, 7.70885, 7.69308, 7.69248, 7.70443, 7.72103, 7.72459, 7.73695, 7.76846, 7.76372, 7.79409, 7.79092, 7.82231, 7.83655, 7.80781, 7.81715, 7.85888, 7.84727, 7.8808, 7.89685, 7.90971, 7.91283, 7.87946, 7.87886, 7.87933, 7.87631, 7.86104, 7.86259, 7.88054, 7.87426, 7.85926, 7.87628, 7.9134, 7.89646, 7.92766, 7.94728, 7.94512, 7.9535, 7.91785, 7.92466, 7.96718, 7.94124, 7.93746, 7.97296, 7.97703, 7.96788, 7.95424, 7.9463, 7.98198, 8.01395, 8.01069, 8.01552, 7.99632, 7.96498, 7.97131, 8.00222, 7.99794, 7.99325, 7.96382, 7.94455, 7.91785, 7.90424, 7.92176, 7.90952, 7.8898, 7.90074, 7.92791, 7.93111, 7.9457, 7.93102, 7.96959, 7.98195, 7.97677, 8.00678, 8.02519, 8.03009, 8.03192, 8.02618, 8.00593, 8.03987, 8.03075, 8.0266, 8.01978, 8.00629, 7.99555, 8.00401, 8.01046, 8.03266, 8.06242, 8.05432, 8.03642, 8.04691, 8.05455, 8.05942, 8.10178, 8.09885, 8.10401, 8.11886, 8.09459, 8.10889, 8.1466, 8.14156, 8.19282, 8.17212, 8.1502, 8.15139, 8.07053, 8.07143, 8.10647, 8.12108, 8.12209, 8.14745, 8.11498, 8.1068, 8.11936, 8.13757, 8.20387, 8.24042, 8.22279, 8.21362, 8.22611, 8.23098, 8.23917] \n",
    "vvar6= [0.933422, 0.931026, 0.91807, 0.894902, 0.897251, 0.892069, 0.895695, 0.906027, 0.917395, 0.932792, 0.959992, 0.959539, 0.950928, 0.959073, 0.96878, 0.990742, 0.997541, 1.00701, 0.981225, 0.988127, 0.951722, 0.960834, 1.00299, 1.01249, 1.00147, 0.988856, 0.977865, 0.985143, 1.02995, 1.03406, 1.07361, 1.07933, 1.0717, 1.07461, 1.07771, 1.09927, 1.09658, 1.07775, 1.05706, 1.06443, 1.03272, 1.03013, 1.00241, 0.960102, 0.978411, 0.961692, 0.985332, 1.00661, 0.984768, 0.976901, 0.950991, 0.942215, 0.953745, 0.986023, 0.997498, 0.996622, 1.0261, 1.00303, 1.02782, 1.08247, 1.12472, 1.14782, 1.14597, 1.13902, 1.10187, 1.10411, 1.08393, 1.09843, 1.11171, 1.06412, 1.05706, 1.04866, 1.00735, 1.02722, 1.0575, 1.06923, 1.09173, 1.06395, 1.05119, 1.07692, 1.08926, 1.07323, 1.09169, 1.08992, 1.08617, 1.07351, 1.06637, 1.05702, 1.06462, 1.0826, 1.0625, 1.08048, 1.09364, 1.12308, 1.12772, 1.13916, 1.13283, 1.1679, 1.15719, 1.15339, 1.14429, 1.16412, 1.14585, 1.11477, 1.12588, 1.14556, 1.12254, 1.08238, 1.10697, 1.10982, 1.1186, 1.12489, 1.1329, 1.14245, 1.135, 1.09486, 1.09695, 1.1234, 1.09967, 1.11257, 1.11735, 1.10926, 1.11502, 1.12184, 1.12548, 1.13494, 1.19967, 1.16569, 1.19279, 1.17825, 1.18745, 1.17314, 1.13393, 1.13069, 1.13331, 1.10677, 1.03382, 1.0508, 1.05775, 1.05304, 1.08442, 1.10952, 1.10299, 1.08585, 1.10423, 1.13734, 1.17033, 1.16312, 1.12798, 1.10137, 1.07804, 1.07802, 1.1029, 1.15796, 1.12128, 1.09658, 1.11097, 1.14038, 1.16588, 1.17925, 1.18826, 1.17995, 1.14321, 1.14893, 1.17644, 1.16404, 1.18133, 1.18216, 1.18455, 1.20568, 1.22587, 1.23695, 1.2585, 1.25835, 1.2245, 1.26877, 1.26261, 1.29315, 1.27985, 1.25444, 1.21358, 1.17657, 1.18796, 1.1748, 1.2169, 1.21565, 1.20109, 1.15592, 1.14425, 1.16462, 1.18087, 1.19758, 1.18029, 1.18165, 1.16402, 1.14846, 1.13531, 1.12436, 1.12071, 1.13398, 1.14892, 1.16518, 1.1727, 1.19464, 1.17417, 1.19276, 1.19566, 1.22503, 1.25451, 1.24166, 1.21413, 1.21515, 1.23912, 1.22185, 1.25102, 1.22151, 1.2315, 1.24783, 1.25015, 1.23351, 1.26817, 1.27457, 1.25179, 1.22194, 1.20325, 1.21906, 1.18555, 1.17417, 1.18081, 1.17209, 1.15488, 1.14463, 1.12911, 1.15201, 1.19524, 1.18116, 1.181, 1.19508, 1.19598, 1.21693, 1.22556, 1.24458, 1.25754, 1.29737, 1.28887, 1.27594, 1.284, 1.26605, 1.27891, 1.25915, 1.26331, 1.24951, 1.2537, 1.22977, 1.25777, 1.27876, 1.27087, 1.25823, 1.22908, 1.22969, 1.24031, 1.25329, 1.25808, 1.22872, 1.20347, 1.19087, 1.18334, 1.24033, 1.2309, 1.21649, 1.20883, 1.22256, 1.20305, 1.2012, 1.22256, 1.27466, 1.29938, 1.28932, 1.33409, 1.35543, 1.33842, 1.33183, 1.33387, 1.35686, 1.37584, 1.37805, 1.37119, 1.41278, 1.38773, 1.37494, 1.36319, 1.37071, 1.40786, 1.37592, 1.4031, 1.3728, 1.35763, 1.31455, 1.3086, 1.3652, 1.35507, 1.32885, 1.31518, 1.33713, 1.32756, 1.35377, 1.34623, 1.36224, 1.40846, 1.40929, 1.40113, 1.40638, 1.46481, 1.5003, 1.50619, 1.42641, 1.39063, 1.37623, 1.32554, 1.29951, 1.30159, 1.33009, 1.28134, 1.23954, 1.22908, 1.24698, 1.2638, 1.24878, 1.26819, 1.3119, 1.32489, 1.30517, 1.30089, 1.27129, 1.342, 1.33835, 1.33625, 1.34994, 1.31913, 1.26914, 1.26791, 1.30251, 1.31036, 1.34103, 1.32424, 1.32462, 1.35517, 1.39251, 1.40974, 1.41002, 1.42506, 1.41097, 1.41848, 1.45371, 1.4177, 1.39752, 1.41533, 1.43343, 1.45606, 1.42446, 1.41354, 1.41032, 1.44968, 1.38068, 1.39968, 1.387, 1.34459, 1.32636, 1.33565, 1.37813, 1.41796, 1.4268, 1.3769, 1.40394, 1.41746, 1.46878, 1.46996, 1.50287, 1.47213, 1.49356, 1.44308, 1.46812, 1.53191, 1.49737, 1.48468, 1.46255, 1.49105, 1.49356, 1.51844, 1.50576, 1.50941, 1.49237, 1.47786, 1.4644, 1.43751, 1.45067, 1.42419, 1.42835, 1.39653, 1.43737, 1.43178, 1.44202, 1.44274, 1.4386, 1.44438, 1.4406, 1.48551, 1.52984, 1.54124, 1.51119, 1.51815, 1.50788, 1.52894, 1.52127, 1.5308, 1.52164, 1.50633, 1.50553, 1.52577, 1.53882, 1.53596, 1.5665, 1.56223, 1.58798, 1.57976, 1.58599, 1.59531, 1.49294, 1.45033, 1.43116, 1.42974, 1.39845, 1.37105, 1.37552, 1.3796, 1.32792, 1.34683, 1.39381, 1.39692, 1.4299, 1.40331, 1.37949, 1.33891, 1.31823, 1.37127, 1.41033, 1.39866, 1.42651, 1.46967, 1.48241, 1.49399, 1.50094, 1.55765, 1.56235, 1.57238, 1.56526, 1.62361, 1.63863, 1.61265, 1.59823, 1.64238, 1.64637, 1.66911, 1.68149, 1.66352, 1.68881, 1.641, 1.57276, 1.57054, 1.56928, 1.50322, 1.51937, 1.51743, 1.5233, 1.49635, 1.49083, 1.53197, 1.55961, 1.59674, 1.65294, 1.67776, 1.64603, 1.63695, 1.65582, 1.66297, 1.62925, 1.56319, 1.61599, 1.6361, 1.55558, 1.58028, 1.6011, 1.58705, 1.6065, 1.60649, 1.64472, 1.69157, 1.66982, 1.6031, 1.63708, 1.66959, 1.68282, 1.70989, 1.69987, 1.68972, 1.70178, 1.64553, 1.62136, 1.65083, 1.65976, 1.63046, 1.63738, 1.58754, 1.631, 1.61469, 1.64523, 1.67586, 1.74187, 1.71793, 1.72164, 1.72248, 1.72526, 1.7467, 1.70803, 1.75268, 1.73218, 1.71193, 1.65298, 1.70505, 1.6676, 1.60163, 1.58513, 1.5748, 1.57877, 1.52093, 1.49086, 1.48072, 1.52849, 1.55761, 1.54844, 1.57529, 1.57282, 1.58756, 1.60457, 1.63992, 1.62861, 1.67149, 1.64034, 1.63269, 1.61956, 1.61608, 1.63466, 1.58947, 1.56973, 1.54627, 1.61867, 1.62573, 1.61838, 1.61971, 1.67646, 1.69715, 1.71347, 1.76633, 1.74139, 1.73089, 1.70928, 1.70458, 1.69364, 1.75672, 1.70583, 1.73756, 1.71591, 1.75156, 1.80953, 1.84092, 1.83056, 1.81881, 1.79764, 1.78406, 1.74528, 1.79545, 1.91506, 1.86882, 1.90566, 1.86919, 1.86964, 1.86754, 1.9405, 1.96715, 1.99463, 1.90561, 1.81121, 1.81101, 1.77658, 1.78862, 1.85664, 1.83223, 1.83843, 1.81515, 1.81897, 1.8792, 1.88026, 1.91796, 1.96799, 1.95671, 1.87112, 1.87877, 1.85071, 1.8441, 1.84732, 1.80084, 1.78947, 1.82931, 1.72523, 1.77453, 1.83529, 1.79595, 1.81186, 1.81936, 1.81038, 1.80672, 1.81164, 1.80945, 1.85397, 1.85062, 1.78345, 1.79636, 1.80633, 1.8781, 1.85558, 1.80786, 1.84101, 1.82855, 1.80129, 1.80417, 1.86153, 1.90976, 1.90026, 1.83251, 1.87791, 1.90721, 1.8894, 1.90807, 1.93048, 1.92174, 1.82683, 1.7969, 1.84932, 1.8754, 1.88837, 1.82234, 1.84726, 1.79802, 1.81722, 1.82251, 1.93172, 1.97513, 1.98551, 1.9525, 1.94216, 2.00671, 1.98907, 2.02164, 2.06036, 2.06256, 2.07175, 2.08457, 2.02114, 2.00779, 1.9899, 1.97213, 1.96418, 1.95338, 1.95176, 1.88495, 1.85845, 1.81733, 1.87197, 1.83877, 1.85778, 1.86447, 1.83243, 1.86033, 1.82806, 1.85581, 1.8379, 1.85826, 1.81923, 1.79163, 1.85084, 1.80526, 1.78831, 1.82926, 1.87284, 1.91651, 1.9802, 1.94143, 1.94384, 1.95353, 1.90294, 1.9014, 1.92278, 1.85698, 1.88069, 1.84068, 1.78683, 1.89554, 1.961, 1.97217, 2.03491, 2.05411, 2.08076, 2.0471, 2.08529, 2.09211, 2.09718, 2.05907, 2.03877, 2.01066, 2.07124, 2.056, 2.04047, 2.05733, 2.08643, 2.14561, 2.17503, 2.20915, 2.22368, 2.2255, 2.18368, 2.20743, 2.24993, 2.31821, 2.2594, 2.21815, 2.17957, 2.14512, 2.14821, 2.13204, 2.14338, 2.18534, 2.19391, 2.14105, 2.16183, 2.19109, 2.20269, 2.22595, 2.19698, 2.24347, 2.22609, 2.20789, 2.17004, 2.19738, 2.18987, 2.15267, 2.11693, 2.08407, 2.10739, 2.05533, 2.08893, 2.0837, 2.09954, 2.07455, 2.0841, 2.06858, 2.09266, 2.06036, 2.01309, 2.04203, 2.05674, 2.06487, 2.03479, 1.9868, 1.98093, 1.98987, 1.91842, 1.92604, 1.93341, 1.91, 1.90957, 1.86934, 1.89987, 1.94726, 2.02211, 2.0424, 2.11595, 2.1156, 2.20446, 2.21473, 2.17678, 2.23846, 2.22604, 2.18558, 2.19262, 2.1426, 2.10997, 2.07631, 1.996, 2.05818, 2.11486, 2.04642, 2.08074, 2.1118, 2.07958, 2.08616, 2.11455, 2.12929, 2.19489, 2.12677, 2.08767, 2.1876, 2.15138, 2.21156, 2.223, 2.25412, 2.19674, 2.18082, 2.15347, 2.16581, 2.19541, 2.13948, 2.12521, 2.09922, 2.07608, 2.06143, 2.08125, 2.06588, 2.10492, 2.11032, 2.16216, 2.14162, 2.13808, 2.15284, 2.16196, 2.09867, 2.1335, 2.14293, 2.15019, 2.12725, 2.06753, 2.06016, 2.12742, 2.10514, 2.10864, 2.21744, 2.29594, 2.29037, 2.2524, 2.24371, 2.3166, 2.32918, 2.35028, 2.36998, 2.36418, 2.31035, 2.30067, 2.34513, 2.40097, 2.47912, 2.37024, 2.36626, 2.4738, 2.42167, 2.41743, 2.48116, 2.41316, 2.36989, 2.32772, 2.2453, 2.33524, 2.29586, 2.25359, 2.29836, 2.29718, 2.21849, 2.26905, 2.24614, 2.19299, 2.29544, 2.22085, 2.26246, 2.26383, 2.23884, 2.28549, 2.32965, 2.35458, 2.34444, 2.39737, 2.3187, 2.38513, 2.31021, 2.30493, 2.26895, 2.28277, 2.27663, 2.23626, 2.3323, 2.35231, 2.3977, 2.38469, 2.4401, 2.51024, 2.59867, 2.64979, 2.73077, 2.72805, 2.67422, 2.69672, 2.70853, 2.67743, 2.73781, 2.64735, 2.60463, 2.51077, 2.4697, 2.46977, 2.42794, 2.41641, 2.4242, 2.44005, 2.38676, 2.46543, 2.49567, 2.51376, 2.50258, 2.57237, 2.579, 2.56656, 2.57903, 2.5284, 2.51648, 2.59488, 2.5843, 2.54516, 2.53206, 2.44879, 2.52649, 2.54126, 2.57565, 2.57769, 2.61788, 2.59619, 2.58071, 2.61421, 2.66871, 2.67968, 2.57192, 2.61212, 2.63078, 2.62078, 2.6378, 2.61616, 2.61422, 2.59575, 2.56606, 2.54288, 2.56903, 2.52971, 2.45315, 2.40974, 2.36146, 2.36198, 2.42756, 2.44828, 2.4425, 2.45976, 2.47721, 2.43159, 2.48503, 2.52647, 2.55827, 2.51828, 2.44571, 2.43362, 2.42551, 2.38338, 2.38608, 2.44607, 2.44031, 2.44329, 2.44841, 2.46994, 2.47627, 2.51326, 2.49296, 2.56696, 2.54363, 2.59427, 2.65189, 2.70324, 2.69131, 2.7593, 2.7336, 2.7836, 2.87366, 2.82783, 2.87643, 2.84416, 2.82088, 2.70961, 2.78964, 2.69486, 2.74385, 2.70271, 2.68308, 2.71411, 2.6163, 2.67045, 2.65502, 2.76406, 2.73028] \n",
    "cur_mean6=[ (999,5.025), (1999,5.05012), (2999,5.07538), (3999,5.10075), (4999,5.12626), (5999,5.15189), (6999,5.17765), (7999,5.20354), (8999,5.22955), (9999,5.2557), (10999,5.28198), (11999,5.30839), (12999,5.33493), (13999,5.36161), (14999,5.38841), (15999,5.41536), (16999,5.44243), (17999,5.46964), (18999,5.49699), (19999,5.52448), (20999,5.5521), (21999,5.57986), (22999,5.60776), (23999,5.6358), (24999,5.66398), (25999,5.6923), (26999,5.72076), (27999,5.74936), (28999,5.77811), (29999,5.807), (30999,5.83604), (31999,5.86522), (32999,5.89454), (33999,5.92401), (34999,5.95363), (35999,5.9834), (36999,6.01332), (37999,6.04339), (38999,6.0736), (39999,6.10397), (40999,6.13449), (41999,6.16516), (42999,6.19599), (43999,6.22697), (44999,6.2581), (45999,6.28939), (46999,6.32084), (47999,6.35245), (48999,6.38421), (49999,6.41613), (50999,6.44821), (51999,6.48045), (52999,6.51285), (53999,6.54542), (54999,6.57814), (55999,6.61104), (56999,6.64409), (57999,6.67731), (58999,6.7107), (59999,6.74425), (60999,6.77797), (61999,6.81186), (62999,6.84592), (63999,6.88015), (64999,6.91455), (65999,6.94912), (66999,6.98387), (67999,7.01879), (68999,7.05388), (69999,7.08915), (70999,7.1246), (71999,7.16022), (72999,7.19602), (73999,7.232), (74999,7.26816), (75999,7.3045), (76999,7.34103), (77999,7.37773), (78999,7.41462), (79999,7.45169), (80999,7.48895), (81999,7.5264), (82999,7.56403), (83999,7.60185), (84999,7.63986), (85999,7.67806), (86999,7.71645), (87999,7.75503), (88999,7.7938), (89999,7.83277), (90999,7.87194), (91999,7.9113), (92999,7.95085), (93999,7.99061), (94999,8.03056), (95999,8.07071), (96999,8.11107), (97999,8.15162), (98999,8.19238), (99999,8.23334), ]\n",
    "cur_variance6=[ (999,1.01002), (1999,1.02015), (2999,1.03038), (3999,1.04071), (4999,1.05114), (5999,1.06168), (6999,1.07232), (7999,1.08307), (8999,1.09393), (9999,1.1049), (10999,1.11597), (11999,1.12716), (12999,1.13846), (13999,1.14987), (14999,1.1614), (15999,1.17304), (16999,1.1848), (17999,1.19668), (18999,1.20868), (19999,1.22079), (20999,1.23303), (21999,1.24539), (22999,1.25788), (23999,1.27049), (24999,1.28323), (25999,1.29609), (26999,1.30908), (27999,1.32221), (28999,1.33546), (29999,1.34885), (30999,1.36237), (31999,1.37603), (32999,1.38982), (33999,1.40376), (34999,1.41783), (35999,1.43204), (36999,1.4464), (37999,1.4609), (38999,1.47555), (39999,1.49034), (40999,1.50528), (41999,1.52037), (42999,1.53561), (43999,1.55101), (44999,1.56655), (45999,1.58226), (46999,1.59812), (47999,1.61414), (48999,1.63032), (49999,1.64667), (50999,1.66318), (51999,1.67985), (52999,1.69669), (53999,1.7137), (54999,1.73088), (55999,1.74823), (56999,1.76576), (57999,1.78346), (58999,1.80134), (59999,1.8194), (60999,1.83764), (61999,1.85606), (62999,1.87467), (63999,1.89346), (64999,1.91244), (65999,1.93161), (66999,1.95098), (67999,1.97054), (68999,1.99029), (69999,2.01024), (70999,2.0304), (71999,2.05075), (72999,2.07131), (73999,2.09207), (74999,2.11305), (75999,2.13423), (76999,2.15563), (77999,2.17724), (78999,2.19906), (79999,2.22111), (80999,2.24338), (81999,2.26587), (82999,2.28858), (83999,2.31152), (84999,2.3347), (85999,2.3581), (86999,2.38174), (87999,2.40562), (88999,2.42974), (89999,2.45409), (90999,2.4787), (91999,2.50354), (92999,2.52864), (93999,2.55399), (94999,2.5796), (95999,2.60546), (96999,2.63158), (97999,2.65796), (98999,2.6846), (99999,2.71152), ]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "26a9ecba-07b7-4e1e-b454-3a226f43bd21",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'mean')"
      ]
     },
     "execution_count": 59,
     "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(x6[start:],pmean6[start:])\n",
    "plt.plot(x6[start:],vmean6[start:])\n",
    "plt.plot([a[0] for a in cur_mean6],[a[1] for a in cur_mean6])\n",
    "plt.title(\"mean\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "26b92113-c104-41ae-82e6-f1afa690a296",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'variance')"
      ]
     },
     "execution_count": 60,
     "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(x6[start:],pvar6[start:])\n",
    "plt.plot(x6[start:],vvar6[start:])\n",
    "plt.plot([a[0] for a in cur_variance6],[a[1] for a in cur_variance6])\n",
    "plt.title(\"variance\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76d6a1f9-e922-4127-bd0e-96cd9aa224c9",
   "metadata": {},
   "source": [
    "Normal distribution mean 5, std 1\n",
    "increase by 5% every 1000 frames for std and mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "2ae07bd4-ed43-4132-b794-7c0a1cff9d12",
   "metadata": {},
   "outputs": [],
   "source": [
    "x6= [1, 100, 199, 298, 397, 496, 595, 694, 793, 892, 991, 1090, 1189, 1288, 1387, 1486, 1585, 1684, 1783, 1882, 1981, 2080, 2179, 2278, 2377, 2476, 2575, 2674, 2773, 2872, 2971, 3070, 3169, 3268, 3367, 3466, 3565, 3664, 3763, 3862, 3961, 4060, 4159, 4258, 4357, 4456, 4555, 4654, 4753, 4852, 4951, 5050, 5149, 5248, 5347, 5446, 5545, 5644, 5743, 5842, 5941, 6040, 6139, 6238, 6337, 6436, 6535, 6634, 6733, 6832, 6931, 7030, 7129, 7228, 7327, 7426, 7525, 7624, 7723, 7822, 7921, 8020, 8119, 8218, 8317, 8416, 8515, 8614, 8713, 8812, 8911, 9010, 9109, 9208, 9307, 9406, 9505, 9604, 9703, 9802, 9901, 10000, 10099, 10198, 10297, 10396, 10495, 10594, 10693, 10792, 10891, 10990, 11089, 11188, 11287, 11386, 11485, 11584, 11683, 11782, 11881, 11980, 12079, 12178, 12277, 12376, 12475, 12574, 12673, 12772, 12871, 12970, 13069, 13168, 13267, 13366, 13465, 13564, 13663, 13762, 13861, 13960, 14059, 14158, 14257, 14356, 14455, 14554, 14653, 14752, 14851, 14950, 15049, 15148, 15247, 15346, 15445, 15544, 15643, 15742, 15841, 15940, 16039, 16138, 16237, 16336, 16435, 16534, 16633, 16732, 16831, 16930, 17029, 17128, 17227, 17326, 17425, 17524, 17623, 17722, 17821, 17920, 18019, 18118, 18217, 18316, 18415, 18514, 18613, 18712, 18811, 18910, 19009, 19108, 19207, 19306, 19405, 19504, 19603, 19702, 19801, 19900, 19999, 20098, 20197, 20296, 20395, 20494, 20593, 20692, 20791, 20890, 20989, 21088, 21187, 21286, 21385, 21484, 21583, 21682, 21781, 21880, 21979, 22078, 22177, 22276, 22375, 22474, 22573, 22672, 22771, 22870, 22969, 23068, 23167, 23266, 23365, 23464, 23563, 23662, 23761, 23860, 23959, 24058, 24157, 24256, 24355, 24454, 24553, 24652, 24751, 24850, 24949, 25048, 25147, 25246, 25345, 25444, 25543, 25642, 25741, 25840, 25939, 26038, 26137, 26236, 26335, 26434, 26533, 26632, 26731, 26830, 26929, 27028, 27127, 27226, 27325, 27424, 27523, 27622, 27721, 27820, 27919, 28018, 28117, 28216, 28315, 28414, 28513, 28612, 28711, 28810, 28909, 29008, 29107, 29206, 29305, 29404, 29503, 29602, 29701, 29800, 29899, 29998, 30097, 30196, 30295, 30394, 30493, 30592, 30691, 30790, 30889, 30988, 31087, 31186, 31285, 31384, 31483, 31582, 31681, 31780, 31879, 31978, 32077, 32176, 32275, 32374, 32473, 32572, 32671, 32770, 32869, 32968, 33067, 33166, 33265, 33364, 33463, 33562, 33661, 33760, 33859, 33958, 34057, 34156, 34255, 34354, 34453, 34552, 34651, 34750, 34849, 34948, 35047, 35146, 35245, 35344, 35443, 35542, 35641, 35740, 35839, 35938, 36037, 36136, 36235, 36334, 36433, 36532, 36631, 36730, 36829, 36928, 37027, 37126, 37225, 37324, 37423, 37522, 37621, 37720, 37819, 37918, 38017, 38116, 38215, 38314, 38413, 38512, 38611, 38710, 38809, 38908, 39007, 39106, 39205, 39304, 39403, 39502, 39601, 39700, 39799, 39898, 39997, 40096, 40195, 40294, 40393, 40492, 40591, 40690, 40789, 40888, 40987, 41086, 41185, 41284, 41383, 41482, 41581, 41680, 41779, 41878, 41977, 42076, 42175, 42274, 42373, 42472, 42571, 42670, 42769, 42868, 42967, 43066, 43165, 43264, 43363, 43462, 43561, 43660, 43759, 43858, 43957, 44056, 44155, 44254, 44353, 44452, 44551, 44650, 44749, 44848, 44947, 45046, 45145, 45244, 45343, 45442, 45541, 45640, 45739, 45838, 45937, 46036, 46135, 46234, 46333, 46432, 46531, 46630, 46729, 46828, 46927, 47026, 47125, 47224, 47323, 47422, 47521, 47620, 47719, 47818, 47917, 48016, 48115, 48214, 48313, 48412, 48511, 48610, 48709, 48808, 48907, 49006, 49105, 49204, 49303, 49402, 49501, 49600, 49699, 49798, 49897, 49996, 50095, 50194, 50293, 50392, 50491, 50590, 50689, 50788, 50887, 50986, 51085, 51184, 51283, 51382, 51481, 51580, 51679, 51778, 51877, 51976, 52075, 52174, 52273, 52372, 52471, 52570, 52669, 52768, 52867, 52966, 53065, 53164, 53263, 53362, 53461, 53560, 53659, 53758, 53857, 53956, 54055, 54154, 54253, 54352, 54451, 54550, 54649, 54748, 54847, 54946, 55045, 55144, 55243, 55342, 55441, 55540, 55639, 55738, 55837, 55936, 56035, 56134, 56233, 56332, 56431, 56530, 56629, 56728, 56827, 56926, 57025, 57124, 57223, 57322, 57421, 57520, 57619, 57718, 57817, 57916, 58015, 58114, 58213, 58312, 58411, 58510, 58609, 58708, 58807, 58906, 59005, 59104, 59203, 59302, 59401, 59500, 59599, 59698, 59797, 59896, 59995, 60094, 60193, 60292, 60391, 60490, 60589, 60688, 60787, 60886, 60985, 61084, 61183, 61282, 61381, 61480, 61579, 61678, 61777, 61876, 61975, 62074, 62173, 62272, 62371, 62470, 62569, 62668, 62767, 62866, 62965, 63064, 63163, 63262, 63361, 63460, 63559, 63658, 63757, 63856, 63955, 64054, 64153, 64252, 64351, 64450, 64549, 64648, 64747, 64846, 64945, 65044, 65143, 65242, 65341, 65440, 65539, 65638, 65737, 65836, 65935, 66034, 66133, 66232, 66331, 66430, 66529, 66628, 66727, 66826, 66925, 67024, 67123, 67222, 67321, 67420, 67519, 67618, 67717, 67816, 67915, 68014, 68113, 68212, 68311, 68410, 68509, 68608, 68707, 68806, 68905, 69004, 69103, 69202, 69301, 69400, 69499, 69598, 69697, 69796, 69895, 69994, 70093, 70192, 70291, 70390, 70489, 70588, 70687, 70786, 70885, 70984, 71083, 71182, 71281, 71380, 71479, 71578, 71677, 71776, 71875, 71974, 72073, 72172, 72271, 72370, 72469, 72568, 72667, 72766, 72865, 72964, 73063, 73162, 73261, 73360, 73459, 73558, 73657, 73756, 73855, 73954, 74053, 74152, 74251, 74350, 74449, 74548, 74647, 74746, 74845, 74944, 75043, 75142, 75241, 75340, 75439, 75538, 75637, 75736, 75835, 75934, 76033, 76132, 76231, 76330, 76429, 76528, 76627, 76726, 76825, 76924, 77023, 77122, 77221, 77320, 77419, 77518, 77617, 77716, 77815, 77914, 78013, 78112, 78211, 78310, 78409, 78508, 78607, 78706, 78805, 78904, 79003, 79102, 79201, 79300, 79399, 79498, 79597, 79696, 79795, 79894, 79993, 80092, 80191, 80290, 80389, 80488, 80587, 80686, 80785, 80884, 80983, 81082, 81181, 81280, 81379, 81478, 81577, 81676, 81775, 81874, 81973, 82072, 82171, 82270, 82369, 82468, 82567, 82666, 82765, 82864, 82963, 83062, 83161, 83260, 83359, 83458, 83557, 83656, 83755, 83854, 83953, 84052, 84151, 84250, 84349, 84448, 84547, 84646, 84745, 84844, 84943, 85042, 85141, 85240, 85339, 85438, 85537, 85636, 85735, 85834, 85933, 86032, 86131, 86230, 86329, 86428, 86527, 86626, 86725, 86824, 86923, 87022, 87121, 87220, 87319, 87418, 87517, 87616, 87715, 87814, 87913, 88012, 88111, 88210, 88309, 88408, 88507, 88606, 88705, 88804, 88903, 89002, 89101, 89200, 89299, 89398, 89497, 89596, 89695, 89794, 89893, 89992, 90091, 90190, 90289, 90388, 90487, 90586, 90685, 90784, 90883, 90982, 91081, 91180, 91279, 91378, 91477, 91576, 91675, 91774, 91873, 91972, 92071, 92170, 92269, 92368, 92467, 92566, 92665, 92764, 92863, 92962, 93061, 93160, 93259, 93358, 93457, 93556, 93655, 93754, 93853, 93952, 94051, 94150, 94249, 94348, 94447, 94546, 94645, 94744, 94843, 94942, 95041, 95140, 95239, 95338, 95437, 95536, 95635, 95734, 95833, 95932, 96031, 96130, 96229, 96328, 96427, 96526, 96625, 96724, 96823, 96922, 97021, 97120, 97219, 97318, 97417, 97516, 97615, 97714, 97813, 97912, 98011, 98110, 98209, 98308, 98407, 98506, 98605, 98704, 98803, 98902, 99001, 99100, 99199, 99298, 99397, 99496, 99595, 99694, 99793, 99892, 99991] \n",
    "pmean6= [5.02492, 5.00958, 5.01456, 5.02155, 5.01221, 5.01102, 5.01498, 5.01859, 5.00765, 4.99625, 4.98353, 5.00045, 5.00622, 5.04027, 5.0621, 5.08808, 5.09142, 5.11691, 5.12905, 5.14204, 5.14921, 5.14451, 5.16685, 5.2032, 5.23276, 5.26339, 5.27828, 5.30996, 5.33147, 5.37194, 5.38155, 5.4059, 5.46905, 5.48614, 5.50281, 5.5323, 5.56305, 5.59579, 5.60808, 5.63755, 5.62771, 5.66529, 5.68478, 5.71681, 5.74505, 5.78649, 5.81065, 5.82313, 5.8428, 5.87655, 5.90751, 5.93879, 5.98316, 6.03803, 6.0703, 6.10098, 6.11637, 6.13612, 6.16896, 6.18021, 6.21518, 6.26053, 6.31004, 6.34627, 6.38526, 6.43581, 6.4544, 6.45954, 6.47844, 6.48157, 6.5174, 6.56152, 6.63627, 6.65463, 6.71204, 6.73291, 6.76053, 6.79914, 6.85839, 6.86484, 6.89299, 6.90356, 6.92481, 6.96852, 7.00724, 7.05705, 7.08755, 7.09882, 7.12188, 7.15509, 7.16479, 7.17667, 7.20898, 7.27566, 7.30261, 7.32941, 7.37131, 7.43132, 7.42581, 7.44543, 7.47391, 7.48809, 7.56048, 7.62635, 7.68224, 7.73889, 7.77809, 7.82471, 7.83746, 7.86243, 7.89505, 7.91909, 7.97642, 8.00455, 8.074, 8.10341, 8.12488, 8.15103, 8.15779, 8.20999, 8.24395, 8.2961, 8.32978, 8.39856, 8.44341, 8.48035, 8.55765, 8.60005, 8.62395, 8.64863, 8.67974, 8.69869, 8.7835, 8.86153, 8.88516, 8.92006, 8.97109, 8.99971, 9.07201, 9.11103, 9.11872, 9.11058, 9.18588, 9.23255, 9.29233, 9.34934, 9.39559, 9.42516, 9.46981, 9.50689, 9.52958, 9.55778, 9.61073, 9.67625, 9.73914, 9.79686, 9.88559, 9.92134, 9.96605, 9.9939, 10.0547, 10.0714, 10.1452, 10.2283, 10.2818, 10.3497, 10.4172, 10.4489, 10.4894, 10.5383, 10.58, 10.6462, 10.6664, 10.7276, 10.8259, 10.9031, 10.962, 11.0087, 11.0399, 11.0652, 11.0593, 11.1199, 11.1524, 11.2428, 11.2958, 11.3721, 11.4458, 11.4865, 11.5317, 11.5741, 11.6263, 11.6929, 11.7605, 11.8361, 11.9126, 11.9839, 12.0562, 12.1226, 12.191, 12.2256, 12.2565, 12.2734, 12.2909, 12.4162, 12.48, 12.5569, 12.5836, 12.6442, 12.7201, 12.7684, 12.8047, 12.8087, 12.8755, 12.9487, 13.0081, 13.0601, 13.1078, 13.1963, 13.2835, 13.3258, 13.3928, 13.4635, 13.4762, 13.5786, 13.6576, 13.7508, 13.8527, 13.899, 13.9717, 14.0498, 14.2095, 14.2822, 14.3013, 14.3442, 14.4549, 14.5197, 14.6481, 14.6923, 14.7462, 14.8061, 14.8657, 14.9242, 15.0165, 15.0897, 15.1757, 15.3065, 15.4253, 15.49, 15.5399, 15.6382, 15.6993, 15.6925, 15.7199, 15.8252, 15.9032, 16.0011, 16.1156, 16.1824, 16.2674, 16.3596, 16.4073, 16.4646, 16.4832, 16.5676, 16.7074, 16.7826, 16.9293, 17.0161, 17.0877, 17.166, 17.189, 17.2375, 17.3191, 17.4196, 17.6286, 17.6736, 17.7832, 17.8809, 17.9912, 18.0019, 18.0693, 18.1889, 18.2135, 18.2905, 18.3903, 18.4763, 18.5421, 18.6775, 18.795, 18.8887, 18.8808, 18.9544, 19.0728, 19.0749, 19.1814, 19.2705, 19.3098, 19.4671, 19.6255, 19.7394, 19.8135, 19.9064, 19.9392, 19.9819, 20.1243, 20.2706, 20.3439, 20.4998, 20.6147, 20.6649, 20.794, 20.8247, 20.8971, 20.9949, 21.1221, 21.3245, 21.4698, 21.4921, 21.6721, 21.7783, 21.9737, 21.9977, 22.1209, 22.2042, 22.3041, 22.5425, 22.6911, 22.7792, 22.8825, 22.9415, 23.0283, 23.1327, 23.1691, 23.1668, 23.2792, 23.5052, 23.6549, 23.72, 23.8316, 23.9286, 24.0784, 24.0884, 24.177, 24.2478, 24.3953, 24.5584, 24.7436, 24.8595, 25.0029, 25.1133, 25.2925, 25.4331, 25.4867, 25.5647, 25.7306, 25.9699, 26.1199, 26.2271, 26.2253, 26.3637, 26.4485, 26.5719, 26.8236, 26.8931, 26.9744, 27.262, 27.4898, 27.722, 27.7108, 27.7961, 27.7854, 27.8218, 27.8958, 28.0177, 28.1236, 28.3317, 28.5467, 28.7728, 28.9649, 29.0555, 29.2101, 29.383, 29.486, 29.5542, 29.5981, 29.8865, 30.0643, 30.2726, 30.3522, 30.4468, 30.5962, 30.6788, 30.7355, 30.9188, 31.0904, 31.2394, 31.5695, 31.7807, 31.8876, 32.0996, 32.2658, 32.3234, 32.55, 32.5688, 32.6427, 32.9494, 33.198, 33.3654, 33.5389, 33.7102, 33.8071, 34.0647, 34.2615, 34.3486, 34.3809, 34.6841, 34.9567, 35.1967, 35.395, 35.605, 35.7486, 35.7554, 35.8657, 35.9725, 36.0557, 36.2097, 36.4582, 36.6421, 36.848, 37.018, 37.2795, 37.3908, 37.5392, 37.68, 37.8606, 37.9836, 38.2408, 38.5614, 38.564, 38.8257, 39.1482, 39.1753, 39.2731, 39.4572, 39.6163, 39.7445, 40.0295, 40.2485, 40.3797, 40.5139, 40.7484, 40.8362, 41.0056, 41.2114, 41.3703, 41.7015, 42.1082, 42.225, 42.5849, 42.7631, 42.8937, 42.8192, 43.0139, 43.1131, 43.4081, 43.4913, 43.8301, 44.1557, 44.3247, 44.6227, 44.7703, 44.9176, 45.1829, 45.4013, 45.6223, 45.9723, 46.2135, 46.5991, 46.8162, 46.9884, 47.2399, 47.4185, 47.5824, 47.792, 47.8521, 48.014, 48.5283, 48.7829, 49.1136, 49.571, 49.8335, 49.9776, 50.2041, 50.2236, 50.4228, 50.7375, 51.1556, 51.5706, 51.9271, 52.0042, 52.4137, 52.6634, 52.8934, 52.9489, 53.0854, 53.173, 53.4725, 53.6412, 54.0147, 54.3068, 54.4781, 54.6679, 55.028, 55.1513, 55.2541, 55.2331, 55.8429, 56.4155, 56.7545, 57.3707, 57.823, 58.2246, 58.5381, 58.6192, 58.8063, 58.9232, 59.2715, 59.7637, 60.1853, 60.5327, 60.9438, 60.929, 61.0692, 61.1546, 61.2206, 61.236, 61.5374, 62.0991, 62.3935, 62.5799, 62.911, 63.2519, 63.615, 63.8167, 64.0302, 64.1256, 64.6239, 65.2702, 65.7318, 66.0578, 66.197, 66.5513, 66.6415, 66.8377, 67.0309, 67.1267, 67.5324, 68.1566, 68.8117, 69.1724, 69.876, 70.238, 70.5769, 70.9989, 71.3537, 71.3999, 71.4733, 72.3343, 73.0757, 73.3295, 73.8557, 74.2732, 74.5685, 74.9105, 75.0379, 75.609, 75.8956, 76.2617, 76.6958, 77.1015, 77.4578, 77.9332, 78.0312, 78.4617, 78.5758, 78.8988, 79.1072, 79.5516, 80.0864, 80.8006, 81.3621, 81.7572, 82.015, 82.1962, 82.5344, 82.5684, 83.2327, 83.7023, 84.1928, 84.4218, 84.6171, 85.1553, 85.6612, 86.0815, 86.6912, 87.0387, 87.2689, 87.9886, 88.3367, 89.0711, 89.6702, 89.8846, 90.1458, 90.302, 90.6563, 90.6432, 90.8934, 91.665, 92.3682, 92.7774, 93.1406, 93.4314, 93.9353, 94.5659, 94.9302, 95.3294, 95.9676, 96.5104, 96.7564, 97.1331, 97.5774, 98.1755, 98.4522, 98.8909, 99.243, 99.2614, 99.8682, 100.504, 101.094, 101.708, 102.087, 102.626, 103.22, 103.749, 104.063, 104.491, 104.47, 104.775, 105.32, 105.925, 106.771, 107.49, 108.386, 108.632, 109.115, 109.822, 109.917, 110.411, 111.344, 112.001, 112.782, 113.77, 114.178, 114.487, 114.874, 115.274, 115.866, 116.577, 117.6, 118.56, 119.088, 119.638, 120.213, 120.606, 120.721, 120.673, 120.934, 121.746, 122.893, 123.763, 124.692, 125.441, 126.163, 126.836, 127.309, 127.421, 128.182, 128.854, 129.722, 130.402, 131.663, 132.364, 133.182, 133.44, 133.527, 133.811, 134.377, 134.783, 135.814, 136.22, 136.797, 137.635, 138.142, 138.736, 139.638, 139.979, 140.542, 140.802, 141.409, 142.572, 143.551, 144.54, 145.402, 145.681, 146.608, 147.228, 147.478, 148.163, 148.938, 149.733, 150.714, 151.788, 152.457, 153.37, 153.416, 154.48, 155.013, 155.631, 156.403, 157.654, 158.668, 159.775, 161.181, 161.531, 161.919, 162.758, 163.65, 164.184, 165.371, 166.507, 166.9, 167.975, 168.716, 168.869, 169.943, 169.902, 171.171, 171.62, 172.52, 173.773, 174.776, 175.874, 177.594, 177.873, 178.644, 179.504, 180.177, 180.998, 181.839, 182.907, 183.389, 184.146, 185.111, 186.449, 187.323, 188.059, 188.028, 187.843, 189.095, 190.608, 191.536, 192.888, 193.613, 195.355, 196.687, 197.513, 198.424, 198.742, 199.249, 200.423, 201.53, 203.319, 204.263, 204.485, 205.629, 206.489, 207.224, 208.595, 209.557, 210.727, 212.305, 214.052, 215.055, 216.555, 216.771, 217.271, 218.504, 219.152, 219.537, 221.105, 222.386, 224.098, 224.918, 226.372, 227.988, 228.72, 229.766, 230.223, 230.993, 232.784, 234.453, 235.638, 236.098, 237.1, 238.085, 239.447, 240.276, 240.852, 241.485, 243.06, 245.112, 247.091, 247.653, 248.463, 249.95, 251.22, 251.866, 253.717, 253.52, 255.325, 256.322, 258.913, 259.716, 261.01, 262.229, 263.041, 263.946, 264.515, 264.89, 266.29, 268.154, 269.598, 270.47, 272.528, 273.932, 274.699, 276.19, 277.773, 278.43, 280.625, 283.294, 285.082, 286.5, 287.409, 289.322, 290.321, 290.962, 292.231, 293.29, 295.123, 296.754, 298.406, 300.396, 301.715, 302.739, 304.29, 306.048, 307.053, 307.996, 309.449, 311.822, 314.788, 317.933, 318.469, 319.202, 321.163, 322.416, 322.961, 323.912, 325.555, 327.094, 329.63, 331.62, 334.181, 334.443, 334.337, 335.963, 337.809, 338.921, 338.26, 341.387, 342.654, 344.413, 345.669, 347.305, 349.43, 351.434, 353.7, 354.994, 355.496, 359.287, 361.299, 363.29, 365.25, 366.845, 368.995, 370.618, 373.377, 374.518, 375.71, 378.633, 381.531, 382.702, 384.971, 387.156, 389.514, 390.738, 392.832, 392.872, 393.635, 396.33, 400.982, 403.078, 405.491, 407.97, 408.905, 410.427, 412.476, 413.382, 413.695, 416.005, 418.233, 420.842, 423.167, 426.111, 428.514, 430.615, 431.322, 432.315, 432.298, 434.638, 437.06, 440.122, 442.674, 444.858, 447.331, 450.134, 450.981, 452.801, 453.08, 454.204, 459.134, 462.679, 465.374, 468.3, 468.171, 471.775, 471.983, 474.141, 476.991, 478.947, 483.674, 487.379, 489.45, 492.075, 493.088, 495.826, 498.304, 500.289, 501.057, 504.868, 507.354, 512.179, 515.051, 517.062, 518.617, 521.374, 522.683, 524.985, 527.338, 530.043, 532.528, 536.424, 537.299, 541.344, 541.866, 545.019, 546.425, 547.151, 549.368, 550.38, 551.713, 556.986, 559.985, 561.517, 563.778, 568.17, 572.356, 573.463, 577.33, 576.51, 580.71, 583.112, 588.333, 592.191, 596.6, 599.42, 602.236, 603.344, 605.954, 606.699] \n",
    "pvar6= [0.97533, 0.959832, 0.970088, 0.983448, 0.990579, 0.991224, 0.972739, 0.980661, 0.979823, 0.998129, 1.03102, 1.02427, 1.03012, 1.08457, 1.08232, 1.10381, 1.10362, 1.11348, 1.09983, 1.09521, 1.11035, 1.12813, 1.14443, 1.16348, 1.17021, 1.15438, 1.16179, 1.15867, 1.17757, 1.18985, 1.1632, 1.17161, 1.22214, 1.27473, 1.28507, 1.28058, 1.29474, 1.32823, 1.31608, 1.32479, 1.29967, 1.32274, 1.37174, 1.37292, 1.40264, 1.45361, 1.45008, 1.5003, 1.49689, 1.51419, 1.50002, 1.5189, 1.53558, 1.57527, 1.60329, 1.63023, 1.62371, 1.61972, 1.64526, 1.6537, 1.67558, 1.70761, 1.73613, 1.71772, 1.69914, 1.75236, 1.73463, 1.74629, 1.74575, 1.73928, 1.79845, 1.81252, 1.85105, 1.89749, 1.9288, 1.95353, 1.96322, 1.96295, 1.98727, 2.01425, 2.02152, 2.04236, 2.06055, 2.1313, 2.17337, 2.19792, 2.22062, 2.23759, 2.29807, 2.28143, 2.26699, 2.25553, 2.28836, 2.33881, 2.33068, 2.35345, 2.35984, 2.39261, 2.49976, 2.56463, 2.55493, 2.494, 2.59019, 2.66415, 2.67362, 2.68407, 2.66482, 2.69341, 2.70146, 2.71999, 2.71152, 2.73954, 2.7166, 2.78537, 2.82311, 2.81394, 2.8149, 2.77033, 2.80671, 2.85485, 2.85793, 2.97017, 2.9447, 3.01434, 3.04015, 3.03827, 3.09616, 3.14237, 3.1493, 3.18869, 3.14447, 3.14876, 3.23996, 3.37517, 3.39294, 3.4497, 3.42667, 3.55, 3.58984, 3.63365, 3.57326, 3.59472, 3.71812, 3.74335, 3.78286, 3.85003, 3.80209, 3.81097, 3.72314, 3.67121, 3.62859, 3.74478, 3.83087, 3.8825, 3.81844, 3.91391, 4.07446, 4.08629, 4.10645, 4.17289, 4.22817, 4.30792, 4.35779, 4.48275, 4.58019, 4.68432, 4.76895, 4.87107, 4.78152, 4.7038, 4.66142, 4.69457, 4.69319, 4.70844, 4.83844, 4.91638, 5.05672, 5.06872, 4.99889, 5.07057, 5.00697, 5.06407, 5.10914, 5.22517, 5.33375, 5.50119, 5.70976, 5.75352, 5.81757, 5.73667, 5.6801, 5.91654, 5.90543, 5.9698, 6.20157, 6.36124, 6.36988, 6.36701, 6.36762, 6.22921, 6.32155, 6.35535, 6.32913, 6.45903, 6.527, 6.58089, 6.96266, 7.02971, 7.12446, 7.27488, 7.14917, 7.26733, 7.20377, 7.26076, 7.36758, 7.37131, 7.36914, 7.4454, 7.39634, 7.39905, 7.42924, 7.37298, 7.40773, 7.5027, 7.82378, 7.79284, 7.85414, 7.82314, 8.10178, 8.16345, 8.52024, 8.54733, 8.54702, 8.61553, 8.76236, 9.16131, 9.3127, 9.203, 9.2365, 9.17145, 9.31929, 9.58322, 9.5745, 9.67049, 9.91704, 10.2027, 10.3678, 10.4433, 10.6812, 10.6802, 10.7271, 10.594, 10.826, 11.058, 11.0606, 11.4971, 11.6368, 11.6572, 11.5747, 11.546, 11.626, 11.5861, 11.5832, 11.9575, 12.2387, 12.1761, 12.5452, 12.6691, 12.5965, 12.7646, 12.7286, 12.708, 12.7387, 12.6004, 12.992, 13.1029, 13.2425, 13.2999, 13.2673, 13.1469, 13.1402, 13.5458, 13.8247, 13.9321, 14.1025, 14.2738, 14.3322, 14.6314, 14.7862, 14.9255, 14.9803, 15.1222, 15.2501, 14.9728, 15.1956, 15.5578, 15.1063, 15.512, 16.069, 16.4324, 16.9604, 16.771, 16.7001, 16.8211, 17.0365, 17.5227, 17.9084, 18.4141, 18.2949, 18.1863, 18.1384, 18.0717, 18.171, 18.2864, 19.1621, 19.8608, 20.6435, 20.2061, 20.2466, 20.4821, 20.6515, 20.5336, 20.5062, 21.1968, 21.1525, 22.0125, 22.5971, 22.6565, 22.4067, 22.4516, 22.5672, 22.7298, 23.1614, 23.3666, 24.6441, 24.8698, 25.5358, 25.7431, 25.6513, 25.9847, 25.8439, 25.806, 25.5704, 25.2594, 26.2455, 26.4977, 26.7514, 26.8177, 27.1215, 28.1688, 27.7289, 27.6675, 27.6122, 27.7477, 28.1805, 29.0378, 29.23, 29.933, 30.1176, 30.0891, 30.235, 30.0355, 30.3262, 30.1682, 30.6187, 32.155, 32.8471, 32.9739, 32.3898, 33.0494, 33.3281, 32.8713, 32.0419, 31.7339, 32.4797, 33.8653, 34.766, 35.7043, 35.3339, 34.6391, 35.5359, 35.6014, 36.2272, 36.7305, 37.4919, 38.8929, 38.782, 39.273, 39.049, 39.6849, 39.6266, 39.5095, 40.0081, 40.0814, 40.1909, 42.0551, 43.9726, 43.9561, 44.0272, 44.7602, 44.4621, 43.8981, 45.9869, 45.4502, 44.842, 46.0478, 46.7705, 48.3151, 49.1849, 49.7961, 49.7149, 49.7096, 49.3246, 49.6799, 49.2095, 49.9904, 51.1342, 52.0765, 53.3329, 54.1606, 53.8603, 53.6669, 53.5457, 54.526, 55.6201, 56.1308, 55.9349, 58.5227, 59.5823, 61.6041, 63.8191, 62.5169, 61.631, 61.684, 60.9595, 61.3687, 62.0618, 63.6258, 65.6337, 65.8396, 66.8811, 65.7613, 67.175, 67.4853, 67.4975, 68.1134, 69.9069, 69.1476, 69.0459, 69.5364, 69.2791, 70.8438, 72.2539, 71.936, 71.0469, 71.5976, 74.6239, 77.3647, 77.9384, 77.2982, 76.5582, 75.2005, 76.8586, 77.6447, 78.6282, 80.8623, 83.6025, 83.2398, 82.1222, 85.0015, 84.5895, 84.9772, 85.4957, 85.4222, 87.2268, 90.6312, 90.1362, 90.299, 93.4608, 96.348, 95.2468, 96.2054, 95.1687, 96.1995, 95.8145, 96.9212, 99.9867, 100.846, 101.125, 103.308, 103.575, 102.868, 102.467, 101.257, 102.679, 104.928, 107.823, 107.743, 110.173, 108.079, 109.905, 110.035, 111.213, 110.96, 112.256, 113.41, 116.212, 117.256, 120.22, 122.422, 121.212, 122.883, 126.254, 126.664, 127.525, 126.55, 130.397, 132.866, 134.607, 136.395, 136.9, 137.333, 137.767, 139.247, 141.845, 139.512, 139.814, 142.184, 144.126, 144.75, 150.624, 148.896, 151.019, 153.92, 153.972, 153.221, 158.074, 164.945, 172.265, 167.709, 175.715, 175.36, 177.996, 178.838, 180.285, 183.835, 184.258, 188.251, 187.481, 193.55, 195.961, 195.784, 192.692, 193.361, 191.196, 187.695, 193.416, 196.019, 198.577, 200.823, 200.341, 204.185, 207.032, 213.647, 212.593, 210.444, 214.399, 225.987, 229.216, 228.788, 231.418, 229.618, 230.569, 232.619, 235.39, 237.766, 241.403, 243.356, 243.799, 246.257, 245.966, 248.309, 247.407, 253.042, 254.879, 253.331, 250.183, 260.177, 263.561, 274.63, 276.575, 279.908, 278.782, 270.061, 275.031, 276.031, 283.309, 291.655, 291.578, 293.785, 293.254, 293.796, 298.514, 304.284, 303.175, 304.069, 310.54, 315.358, 311.811, 319.853, 316.463, 315.797, 322.616, 323.885, 322.264, 332.015, 332.309, 343.167, 357.191, 364.157, 363.007, 359.903, 362.962, 363.885, 370.991, 376.49, 382.437, 397.672, 392.397, 393.862, 404.072, 410.207, 411.449, 416.947, 411.915, 408.302, 420.314, 429.271, 448.664, 446.457, 442.774, 448.577, 459.19, 455.317, 461.226, 463.549, 454.105, 459.809, 477.121, 479.311, 499.387, 520.085, 535.588, 520.955, 532.07, 542.034, 543.931, 545.513, 543.711, 553.259, 559.526, 569.951, 569.824, 564.33, 570.575, 581.181, 590.668, 602.661, 602.407, 607.043, 610.404, 615.62, 616.969, 626.332, 624.969, 622.324, 629.285, 635.823, 640.405, 680.419, 687.792, 701.087, 704.134, 712.883, 693.919, 684.811, 680.281, 683.961, 715.287, 731.077, 751.105, 758.943, 774.46, 777.389, 769.634, 759.465, 752.628, 754.607, 772.628, 772.119, 788.624, 794.057, 791.05, 815.418, 830.417, 840.966, 832.907, 830.168, 814.709, 834.608, 833.987, 874.836, 878.297, 883.135, 898.152, 894.932, 886.018, 888.705, 909.526, 922.333, 939.989, 953.997, 946.473, 946.066, 952.551, 967.668, 965.855, 967.518, 994.083, 1023.68, 1030.65, 1064.05, 1124.31, 1108.91, 1112.33, 1126.3, 1156.5, 1174.92, 1186.35, 1219.44, 1226.57, 1216.36, 1223.56, 1222.14, 1252.89, 1258.83, 1253.93, 1254, 1261.81, 1282.62, 1292.06, 1301.97, 1338.85, 1326.88, 1338.88, 1328.63, 1355.24, 1361.2, 1363, 1383.16, 1380.28, 1362.98, 1391.97, 1485.04, 1512.98, 1537.78, 1526.27, 1513.74, 1553.79, 1553.45, 1565.95, 1585.05, 1588.43, 1637.54, 1657.64, 1639.38, 1669.03, 1663.5, 1666.91, 1697.92, 1697.76, 1740.53, 1741.62, 1790.52, 1759.54, 1789.31, 1804.92, 1810.44, 1847.3, 1826.88, 1874.02, 1923.24, 1929.01, 1929.74, 1919.47, 1921.94, 1933.76, 1954.71, 1947.39, 2020.13, 2070.42, 2118.74, 2199.95, 2194.65, 2204, 2190.36, 2182.58, 2151.24, 2201.92, 2264.37, 2298, 2328.38, 2328.69, 2327.92, 2336.11, 2357.84, 2332.93, 2318.44, 2276.76, 2367.16, 2484.06, 2542.62, 2539.27, 2595.47, 2625.3, 2664.91, 2689.84, 2745.28, 2728.45, 2792.94, 2847.97, 2914.83, 2956.04, 3029.1, 3018.63, 2976.53, 2962.05, 2956.12, 2945.99, 3045.68, 3062.68, 3125.63, 3129.64, 3157.51, 3157.47, 3182.94, 3254.83, 3284.67, 3290.72, 3382.85, 3559.45, 3623.1, 3661.22, 3668.23, 3635.71, 3719.88, 3695.52, 3855.93, 3815.18, 3882.87, 4037.45, 4007.74, 4043.83, 4070.4, 4114.96, 4049.99, 4076.45, 4129.76, 4127.61, 4096.86, 4167.24, 4490.35, 4541.08, 4490.36, 4416.31, 4358.55, 4347.36, 4430.88, 4380.44, 4310.95, 4409.27, 4511.55, 4637.3, 4655.98, 4690.68, 4736.08, 4890.9, 4947.4, 4898.83, 4908.16, 5120.64, 5165.29, 5275.62, 5272.01, 5342.19, 5379.94, 5484.52, 5394.44, 5442.2, 5594.4, 5907.08, 5956.38, 5861.89, 5898.57, 5952, 5879.87, 5922.3, 5984.47, 6061, 5924.76, 6080.05, 6176.77, 6133.51, 6280.32, 6295.05, 6293.59, 6323.83, 6201, 6250.97, 6217.19, 6352.35, 6674.91, 6657.81, 6691.75, 6960.67, 7043.91, 7124.3, 7070.79, 7055.98, 7027.74, 7085.07, 7015.1, 7178.2, 7210.74, 7354.44, 7613.67, 7613.69, 7741.91, 7920.74, 7975.75, 8138.76, 8235.78, 8534.38, 8569.02, 8721.4, 8806.48, 8831.34, 8751.46, 8833.86, 8987.77, 9059.39, 9340.13, 9728.51, 9817.64, 9820.91, 9762.85, 9783.13, 9728.55, 9799.47, 9725.99, 9770.16, 10163, 10309.6, 10007.7, 9914.7, 9963.44, 9967.41, 10019.1, 10184.7, 10526.6, 10662.4, 10902.3, 11285, 11192.8, 11381.2, 11314.2, 11317.4, 11428.8, 11592.5, 11771.7, 11546.9, 11912.3, 12184.7, 12429.3, 12283.9, 12092.6, 12177.7, 12355.1, 12562.7, 12526, 12400.4, 12872, 13303.6, 13703.8, 13660.5, 13616.1, 14057.3, 14067.6, 14166.3, 14196, 13920.7, 14336.9, 14309.7, 15086.3, 15376.1, 15666.5, 16062.2, 16109.9, 16067.1, 16015.6, 15954.9] \n",
    "vmean6= [5.02546, 5.00541, 5.00873, 5.02198, 5.00221, 5.00157, 5.00924, 5.02594, 5.01814, 4.9951, 4.97169, 4.99796, 5.00052, 5.0312, 5.06444, 5.09124, 5.10515, 5.13029, 5.16592, 5.20327, 5.2394, 5.23773, 5.27164, 5.28866, 5.30798, 5.33143, 5.3554, 5.37816, 5.41492, 5.46507, 5.48511, 5.54359, 5.61017, 5.62537, 5.63302, 5.66599, 5.7075, 5.73575, 5.75287, 5.7709, 5.7778, 5.81913, 5.79538, 5.83292, 5.86643, 5.90828, 5.92773, 5.93415, 5.96699, 5.98276, 6.0521, 6.07685, 6.12668, 6.18648, 6.2207, 6.24244, 6.25554, 6.29106, 6.34343, 6.3514, 6.38728, 6.43755, 6.47484, 6.48612, 6.51965, 6.57709, 6.60352, 6.63251, 6.65067, 6.66677, 6.69349, 6.73487, 6.793, 6.79642, 6.85305, 6.85341, 6.88666, 6.94993, 7.03612, 7.07257, 7.10783, 7.11664, 7.09604, 7.13649, 7.15194, 7.2058, 7.24479, 7.25259, 7.24736, 7.28454, 7.30827, 7.3415, 7.37832, 7.43464, 7.44049, 7.46408, 7.49197, 7.57201, 7.57784, 7.5849, 7.62893, 7.67136, 7.74777, 7.78177, 7.84257, 7.90721, 7.95566, 7.98926, 8.03504, 8.07781, 8.1284, 8.18523, 8.21286, 8.21462, 8.26053, 8.27573, 8.29384, 8.30645, 8.34201, 8.39427, 8.43013, 8.49829, 8.51047, 8.58109, 8.5959, 8.65164, 8.74624, 8.8061, 8.85202, 8.87318, 8.92018, 8.93323, 9.02623, 9.07914, 9.10167, 9.15485, 9.15909, 9.18861, 9.28404, 9.33733, 9.35496, 9.3785, 9.41477, 9.41404, 9.48756, 9.55911, 9.59136, 9.62147, 9.63855, 9.68685, 9.74572, 9.81442, 9.84862, 9.91409, 9.96876, 9.99812, 10.0929, 10.1526, 10.1897, 10.2354, 10.3216, 10.3503, 10.4396, 10.5059, 10.548, 10.6269, 10.6588, 10.6983, 10.7665, 10.8004, 10.8559, 10.9731, 10.9626, 10.9883, 11.0898, 11.1688, 11.1907, 11.2735, 11.3203, 11.3463, 11.3644, 11.3887, 11.4548, 11.5212, 11.535, 11.583, 11.6428, 11.6838, 11.7425, 11.8173, 11.9175, 11.9942, 12.0903, 12.1435, 12.2008, 12.281, 12.3363, 12.4195, 12.4925, 12.5532, 12.601, 12.6233, 12.6215, 12.7282, 12.7822, 12.8341, 12.8488, 12.8985, 12.9501, 13.0111, 13.0819, 13.1004, 13.234, 13.2394, 13.303, 13.3192, 13.3965, 13.4585, 13.5164, 13.5686, 13.661, 13.7762, 13.8032, 13.9025, 13.9688, 14.0843, 14.208, 14.2393, 14.2999, 14.3895, 14.574, 14.662, 14.7317, 14.7601, 14.8677, 14.9226, 15.0451, 15.1123, 15.1808, 15.2253, 15.1962, 15.2419, 15.3817, 15.4839, 15.5415, 15.6935, 15.7376, 15.8347, 15.8999, 16.0347, 16.11, 16.1444, 16.1531, 16.263, 16.3203, 16.358, 16.4278, 16.48, 16.6081, 16.6627, 16.7293, 16.8501, 16.9087, 16.9764, 17.1199, 17.1542, 17.2961, 17.3958, 17.4518, 17.5308, 17.5916, 17.6517, 17.7738, 17.9172, 18.0601, 18.1126, 18.1807, 18.2625, 18.408, 18.4204, 18.5242, 18.705, 18.7187, 18.8051, 18.7872, 18.8992, 18.9499, 19.0506, 19.1253, 19.2828, 19.3047, 19.3291, 19.5174, 19.5354, 19.6231, 19.6809, 19.7635, 19.8504, 19.9804, 20.0722, 20.235, 20.3579, 20.3689, 20.5013, 20.6236, 20.7722, 20.9119, 21.0025, 21.0745, 21.1188, 21.2499, 21.2593, 21.4042, 21.5913, 21.6678, 21.8259, 21.9956, 21.9746, 22.1268, 22.3101, 22.4877, 22.5742, 22.7516, 22.8531, 22.9747, 23.1312, 23.2302, 23.4222, 23.4907, 23.5269, 23.5576, 23.7512, 23.7757, 23.7752, 23.8923, 24.0213, 24.0952, 24.1404, 24.2819, 24.3954, 24.5261, 24.5593, 24.702, 24.8757, 25.0205, 25.0643, 25.2111, 25.3734, 25.5287, 25.6381, 25.7916, 26.0352, 26.1399, 26.3127, 26.4655, 26.6689, 26.7664, 26.9091, 26.8841, 27.0432, 27.0875, 27.1901, 27.4968, 27.5954, 27.6786, 27.8412, 28.0506, 28.2838, 28.4471, 28.5077, 28.5541, 28.616, 28.5692, 28.6997, 28.8611, 28.9073, 29.0057, 29.1168, 29.4068, 29.5259, 29.7844, 30.1114, 30.2734, 30.4079, 30.5251, 30.759, 30.8266, 30.9698, 31.0168, 31.1431, 31.2912, 31.3186, 31.4385, 31.6543, 31.9513, 31.9376, 32.2356, 32.392, 32.5522, 32.8237, 33.0273, 33.1117, 33.5012, 33.5611, 33.6038, 33.9107, 33.9934, 34.1104, 34.3088, 34.4913, 34.5388, 34.9098, 35.0264, 35.2379, 35.4354, 35.5724, 35.7671, 36.0142, 36.2592, 36.4642, 36.7192, 36.6659, 36.7346, 36.8847, 37.1355, 37.136, 37.2672, 37.3519, 37.5259, 37.6144, 37.8924, 38.1195, 38.3183, 38.5577, 38.7857, 38.9945, 39.1713, 39.5042, 39.4307, 39.7187, 39.9719, 40.0599, 40.1968, 40.4024, 40.5634, 40.7178, 40.9725, 41.0514, 41.3244, 41.3911, 41.4541, 41.6487, 41.9054, 42.1312, 42.3101, 42.6794, 43.0026, 43.0843, 43.5417, 43.8279, 43.911, 43.9536, 44.1414, 44.2065, 44.6027, 44.5292, 44.6513, 45.0437, 45.0489, 45.3526, 45.4904, 45.9607, 46.2408, 46.5883, 46.7642, 47.2571, 47.3555, 47.671, 47.997, 48.0854, 48.4936, 48.7673, 48.8893, 49.0541, 49.2218, 49.2083, 49.6914, 49.8001, 50.1035, 50.6591, 50.9002, 51.1813, 51.4478, 51.5292, 51.9248, 52.3946, 52.51, 52.9574, 53.2681, 53.1821, 53.4624, 53.8377, 54.1677, 54.4544, 54.6696, 54.7428, 54.8387, 54.7916, 55.0387, 55.4002, 55.4606, 55.5774, 55.9154, 56.1427, 56.3853, 56.4868, 57.0765, 57.7104, 57.9373, 58.5618, 59.116, 59.6366, 59.9858, 60.2475, 60.7787, 61.1982, 61.3384, 61.6311, 62.106, 62.0933, 62.3213, 62.2548, 62.2963, 62.5525, 62.6931, 62.7679, 62.9817, 63.2607, 63.4407, 63.5209, 63.6154, 64.1344, 64.6507, 64.8938, 65.422, 65.7436, 66.3001, 66.7084, 67.1206, 67.71, 67.7813, 68.2111, 68.1875, 68.4952, 68.7969, 68.9397, 69.2648, 69.5796, 70.0448, 70.3634, 71.3247, 71.6465, 72.1788, 72.9518, 73.4863, 73.9085, 73.9017, 74.6285, 75.1164, 75.4468, 75.6831, 76.0798, 76.4108, 76.7727, 76.9692, 77.9225, 78.585, 78.491, 78.5497, 78.9604, 79.2681, 79.6522, 79.7765, 80.2107, 80.5347, 80.6709, 80.9817, 81.3219, 81.6816, 82.4012, 83.0221, 83.2857, 83.888, 84.1095, 84.5089, 84.7186, 85.5806, 85.9664, 86.3921, 86.1933, 86.3647, 86.6686, 87.3157, 87.9549, 88.6535, 89.3205, 89.3989, 89.9578, 90.3292, 91.1035, 92.0957, 92.3097, 92.4055, 92.6093, 92.8013, 92.8187, 93.1293, 93.7316, 94.4814, 94.499, 94.5778, 95.0675, 95.5904, 96.4353, 96.8782, 97.6878, 98.6703, 98.9252, 98.7859, 99.4002, 99.8368, 100.628, 100.857, 101.066, 101.579, 101.506, 101.994, 102.358, 103.17, 103.79, 104.285, 104.549, 105.353, 105.978, 106.426, 107.334, 107.215, 107.446, 107.65, 108.092, 108.993, 109.628, 110.45, 110.782, 111.36, 112.165, 112.901, 113.513, 114.485, 115.316, 115.752, 116.752, 116.749, 117.343, 117.808, 118.123, 119.207, 119.977, 120.745, 121.657, 122.082, 122.351, 122.881, 123.596, 124.009, 124.216, 124.384, 124.908, 125.544, 126.012, 126.97, 127.651, 128.381, 129.164, 130.331, 131.118, 132.348, 132.992, 133.474, 133.837, 134.937, 135.417, 136.389, 136.539, 136.768, 137.545, 137.986, 138.429, 139.246, 139.531, 139.366, 139.974, 140.16, 140.936, 142.333, 143.122, 143.765, 144.273, 144.344, 145.687, 146.751, 147.715, 148.782, 149.106, 149.579, 150.692, 151.06, 152.3, 153.173, 153.741, 154.335, 155.155, 155.578, 156.962, 156.85, 157.877, 158.875, 159.73, 160.428, 161.726, 162.464, 163.142, 164.634, 165.234, 166.341, 167.01, 168.106, 168.81, 170.022, 171.087, 171.297, 172.012, 172.219, 172.606, 174.027, 173.945, 175.269, 175.708, 176.328, 177.077, 178.493, 179.074, 181.19, 181.97, 182.615, 184.434, 185.027, 186.197, 186.975, 188.007, 188.163, 188.572, 188.607, 190.409, 191.595, 192.183, 192.226, 191.897, 193.394, 194.51, 195.494, 197.015, 197.522, 198.721, 200.356, 201.501, 203.014, 204.602, 205.286, 205.92, 206.944, 208.166, 209.683, 209.187, 209.874, 210.881, 211.64, 213.365, 214.943, 216.167, 217.49, 218.548, 219.658, 222.106, 222.464, 223.384, 224.495, 225.018, 225.919, 226.776, 227.559, 228.635, 229.314, 230.547, 232.801, 234.159, 235.183, 236.233, 237.759, 239.065, 240.567, 241.34, 241.983, 242.881, 243.194, 244.691, 245.456, 246.485, 247.364, 248.725, 249.655, 251.676, 252.721, 253.984, 255.863, 256.837, 257.767, 259.723, 260.684, 261.995, 262.394, 264.108, 265.317, 267.12, 268.38, 268.913, 270.388, 270.263, 271.941, 272.767, 274.527, 274.546, 275.805, 277.267, 279.157, 280.065, 281.841, 284.05, 285.457, 287.726, 290.215, 291.969, 293.937, 294.426, 296.603, 298.364, 299.13, 299.99, 301.742, 303.379, 303.422, 304.836, 306.47, 307.956, 308.917, 310.951, 313.156, 314.849, 316.21, 317.265, 319.79, 322.359, 325.3, 325.781, 327.522, 329.305, 330.606, 331.75, 333.242, 335.256, 335.688, 337.58, 337.636, 340.908, 341.951, 341.372, 342.775, 346.122, 347.021, 346.805, 349.114, 349.703, 350.76, 350.12, 352.649, 356.456, 358.208, 360.5, 362.349, 364.929, 367.757, 370.42, 372.323, 375.004, 376.828, 378.9, 380.291, 382.539, 384.068, 387.119, 388.114, 390.592, 392.225, 394.612, 397.173, 399.609, 401.083, 403.02, 403.11, 404.465, 406.456, 409.927, 412.709, 414.995, 417.445, 417.808, 419.815, 421.864, 424.918, 426.543, 428.389, 427.804, 429.684, 431.143, 433.946, 436.826, 439.41, 440.304, 442.011, 443.221, 445.474, 447.422, 450.054, 451.633, 453.403, 455.441, 457.659, 460.068, 462.59, 465.258, 466.106, 471, 473.296, 476.314, 479.162, 478.538, 481.388, 482.754, 484.831, 489.408, 492.766, 495.669, 498.313, 500.636, 502.638, 504.747, 507.871, 512.068, 514.188, 515.223, 519.148, 519.401, 523.236, 526.338, 528.485, 531.858, 533.865, 536.073, 538.187, 541.733, 543.626, 545.611, 548.04, 547.598, 552.539, 553.485, 556.575, 557.882, 559.239, 561.979, 562.175, 562.605, 567.392, 570.601, 569.851, 573.827, 577.575, 583.037, 585.662, 590.317, 590.794, 596.665, 596.845, 602.175, 607.005, 612.313, 613.974, 616.061, 618.404, 619.876, 623.931] \n",
    "vvar6= [0.976188, 0.954035, 0.954643, 0.965481, 0.935994, 0.918111, 0.906633, 0.950857, 0.96016, 0.998643, 1.02958, 1.05059, 1.04841, 1.10614, 1.1084, 1.12789, 1.15676, 1.17569, 1.17876, 1.17494, 1.13552, 1.16961, 1.19308, 1.16098, 1.18345, 1.15854, 1.17788, 1.16464, 1.18651, 1.2083, 1.16262, 1.14086, 1.16733, 1.21465, 1.24541, 1.26535, 1.26978, 1.33076, 1.32106, 1.32126, 1.33336, 1.36713, 1.40364, 1.37417, 1.37924, 1.45093, 1.45738, 1.50034, 1.51721, 1.54866, 1.5433, 1.56568, 1.5664, 1.60076, 1.61113, 1.61921, 1.6417, 1.59246, 1.60544, 1.63104, 1.67586, 1.69699, 1.75349, 1.71317, 1.68309, 1.7144, 1.71637, 1.73228, 1.71958, 1.7025, 1.75241, 1.74163, 1.77874, 1.85998, 1.94034, 1.94417, 1.98664, 1.97843, 1.99018, 2.02936, 2.00996, 2.04882, 2.09585, 2.12982, 2.18108, 2.19329, 2.21928, 2.27077, 2.36361, 2.37495, 2.34102, 2.33214, 2.35103, 2.3634, 2.34337, 2.37225, 2.36245, 2.37243, 2.43247, 2.55238, 2.56918, 2.5274, 2.6122, 2.71111, 2.70709, 2.74519, 2.73742, 2.77704, 2.68967, 2.6239, 2.60802, 2.69195, 2.62708, 2.70571, 2.7472, 2.75522, 2.77328, 2.73136, 2.78377, 2.78487, 2.80697, 2.89847, 2.92886, 2.93614, 2.96825, 3.00888, 3.07031, 3.15118, 3.16429, 3.17386, 3.14253, 3.12617, 3.18747, 3.31377, 3.35974, 3.42459, 3.45068, 3.54992, 3.59402, 3.65314, 3.64402, 3.70809, 3.808, 3.82178, 3.82396, 3.84179, 3.85845, 3.81347, 3.72362, 3.59587, 3.61469, 3.65537, 3.67189, 3.70914, 3.63889, 3.70534, 3.8799, 3.87999, 4.03157, 4.18907, 4.28282, 4.30733, 4.32767, 4.41814, 4.68883, 4.75604, 4.80222, 4.9928, 4.95134, 4.8344, 4.77925, 4.66266, 4.71216, 4.6918, 4.73691, 4.70922, 4.82291, 4.72808, 4.7639, 4.93926, 4.96894, 5.07256, 5.12336, 5.27405, 5.36939, 5.50485, 5.68356, 5.73581, 5.9362, 5.81669, 5.82298, 6.03926, 6.01912, 6.10579, 6.38295, 6.40729, 6.29057, 6.29201, 6.24111, 6.21757, 6.40228, 6.28522, 6.33771, 6.42581, 6.33423, 6.29108, 6.76442, 6.92183, 7.11568, 7.42726, 7.26874, 7.47456, 7.4128, 7.57447, 7.66657, 7.70025, 7.43, 7.40188, 7.33917, 7.22107, 7.27571, 7.13495, 7.1671, 7.3071, 7.47502, 7.45524, 7.48889, 7.44914, 7.8825, 8.01525, 8.31445, 8.52313, 8.50562, 8.71089, 8.57313, 9.12003, 9.40661, 9.37005, 9.30752, 9.28881, 9.33258, 9.71616, 9.67861, 9.69785, 10.0697, 9.99386, 10.1844, 10.4199, 10.7834, 10.8475, 10.9121, 10.7012, 11.0682, 11.2776, 11.1183, 11.5141, 11.7703, 11.8306, 11.5122, 11.6354, 11.7838, 11.7857, 11.5581, 11.8834, 12.1672, 11.9153, 12.0942, 12.2329, 12.4761, 12.7925, 12.9435, 12.7888, 12.966, 12.4894, 12.653, 12.8646, 12.8864, 12.7954, 12.8576, 12.702, 12.6718, 13.0854, 13.3549, 13.7368, 13.9408, 13.9741, 14.2052, 14.5485, 14.9346, 15.1469, 15.3815, 15.5539, 15.3636, 15.0089, 15.1973, 15.615, 15.1243, 15.5074, 15.9428, 16.3045, 16.8693, 16.59, 16.7104, 17.0041, 17.1711, 17.5123, 18.2767, 18.8322, 18.6123, 18.4366, 17.968, 18.27, 18.3294, 18.3004, 19.2357, 19.5861, 20.1996, 19.8313, 20.0026, 20.4119, 20.8246, 20.9015, 20.7493, 21.6761, 20.8988, 21.5094, 21.7511, 21.9071, 22.0914, 22.1659, 22.4776, 22.7403, 23.5559, 23.5508, 24.9754, 25.2568, 25.3851, 25.7986, 26.4262, 26.8419, 27.0154, 27.1856, 26.5408, 25.938, 25.9949, 26.1827, 26.1472, 25.8852, 26.4859, 27.3767, 27.0899, 26.889, 27.2076, 27.6945, 27.2247, 28.0582, 28.3862, 29.3487, 29.8124, 29.4521, 30.2182, 30.2347, 30.4297, 30.3024, 30.8705, 31.7398, 32.8111, 32.4431, 31.3748, 32.5623, 32.8359, 32.8877, 32.4363, 32.454, 32.7197, 33.0915, 34.045, 35.1598, 35.1442, 34.0817, 34.685, 34.9348, 36.1539, 37.3935, 37.9855, 38.4419, 38.0572, 38.3214, 39.0584, 40.5005, 40.7959, 40.7381, 41.0176, 40.5033, 39.5304, 41.2618, 43.1765, 43.437, 44.2776, 44.4439, 44.6443, 44.7896, 45.6211, 46.0936, 46.3032, 45.3584, 45.1578, 47.7427, 48.6266, 48.8962, 49.7028, 50.2468, 48.7513, 49.6973, 49.4767, 50.071, 50.9438, 50.976, 51.3289, 52.488, 51.9013, 52.465, 53.2541, 54.1377, 55.7571, 56.6272, 56.3957, 59.2251, 60.3422, 62.2434, 65.1336, 64.5026, 64.4627, 63.7566, 62.315, 62.4545, 64.4998, 63.8706, 65.3546, 63.7283, 63.1512, 63.6399, 66.0854, 67.2675, 68.2609, 69.709, 71.4202, 70.3988, 67.4139, 68.8807, 68.7882, 70.7994, 71.0863, 70.8851, 70.1992, 69.6729, 71.6308, 76.146, 77.1985, 76.2605, 77.1039, 75.2016, 75.5288, 77.2784, 78.614, 82.1242, 84.1526, 80.9621, 80.7714, 85.3377, 86.0767, 86.4311, 86.8101, 86.1111, 87.5562, 88.1073, 87.312, 88.3853, 92.498, 94.7901, 94.1385, 95.7249, 94.9866, 97.3508, 96.5453, 97.0605, 99.883, 102.636, 99.8707, 100.49, 102.293, 100.318, 101.808, 100.732, 100.268, 100.879, 103.421, 102.869, 106.809, 104.17, 106.907, 107.413, 108.944, 109.585, 110.165, 111.692, 113.091, 116.729, 118.851, 122.891, 122.492, 126.234, 128.96, 131.761, 132.051, 130.155, 133.186, 133.758, 135.195, 135.04, 136.955, 135.499, 134.402, 136.101, 136.208, 133.038, 133.226, 135.847, 137.334, 139.428, 146.377, 147.842, 152.133, 153.44, 152.938, 154.795, 161.015, 168.556, 176.824, 174.961, 182.038, 184.249, 185.589, 186.697, 188.644, 193.393, 191.2, 192.072, 187.578, 197.063, 194.582, 196.761, 194.901, 193.344, 190.54, 186.046, 191.405, 193.088, 196.472, 195.83, 190.09, 194.195, 200.135, 204.419, 204.543, 204.751, 208.362, 220.904, 223.963, 224.854, 233.109, 231.942, 233.564, 228.334, 234.933, 237.564, 235.887, 233.085, 239.28, 239.624, 240.513, 247.317, 247.206, 252.904, 252.037, 250.36, 248.181, 254.555, 260.613, 271.632, 273.797, 282.34, 280.36, 271.956, 273.071, 278.371, 287.015, 289.932, 289.148, 291.434, 291.126, 289.311, 294.599, 309.303, 304.462, 303.152, 307.145, 306.496, 306.646, 312.978, 306.448, 308.471, 317.447, 312.024, 316.383, 331.181, 325.843, 339.055, 357.849, 364.07, 370.885, 373.706, 374.948, 372.778, 385.863, 379.876, 386.677, 398.261, 388.693, 387.714, 400.634, 409.919, 416.581, 426.554, 420.755, 415.319, 428.144, 426.212, 450.738, 456.01, 444.033, 449.03, 459.45, 452.564, 467.309, 470.035, 462.904, 465.314, 464.827, 474.587, 498.388, 518.97, 536.577, 533.023, 540.086, 554.451, 565.866, 570.377, 556.324, 568.847, 565.838, 556.514, 554.603, 560.695, 561.977, 567.092, 570.36, 582.843, 594.403, 596.299, 597.127, 605.061, 611.595, 626.282, 623.56, 615.798, 619.509, 621.34, 629.901, 675.142, 691.237, 704.786, 712.087, 717.866, 698.866, 694.645, 672.783, 675.984, 718.844, 706.535, 720.796, 726.447, 749.074, 748.654, 766.387, 767.005, 771.074, 779.438, 773.83, 766.188, 783.86, 786.516, 773.118, 789.059, 810.262, 835.337, 834.194, 841, 818.218, 839.209, 821.883, 866.621, 874.649, 865.153, 885.493, 864.216, 867.502, 863.695, 911.556, 922.128, 944.822, 939.941, 935.262, 922.758, 927.494, 949.797, 956.326, 961.456, 979.935, 998.297, 1004.11, 1040.34, 1120.79, 1127.06, 1121.25, 1141.19, 1185.3, 1209.52, 1211, 1246.89, 1270.87, 1244.74, 1224.07, 1245.33, 1267.29, 1280.24, 1253.47, 1255.13, 1263.27, 1263.11, 1259.44, 1288.89, 1321.3, 1312.01, 1314.49, 1282.86, 1328.99, 1331.32, 1338.97, 1361.31, 1349.84, 1341.09, 1358.93, 1468.07, 1487.97, 1554.74, 1529.89, 1533.97, 1596.7, 1588.64, 1611.13, 1659.79, 1666.5, 1650.38, 1661.19, 1626.33, 1649.63, 1645.59, 1617.92, 1674.37, 1669.01, 1712.34, 1709.16, 1761.68, 1747.03, 1798.14, 1795.17, 1797.55, 1841.51, 1802.05, 1860.4, 1910.72, 1921.16, 1855.69, 1899.65, 1890.89, 1883.84, 1925.81, 1913.81, 2013.19, 2033.96, 2079.76, 2173.92, 2201.51, 2222.14, 2212.94, 2232.78, 2187.83, 2262.29, 2267.04, 2282.05, 2293.87, 2252.29, 2261.02, 2290.51, 2342.16, 2322.12, 2346.53, 2269.42, 2346.69, 2422.69, 2448.88, 2459.64, 2555.88, 2601.02, 2667.36, 2726.46, 2826.31, 2859.02, 2891.27, 2919.31, 2967.9, 3011.76, 3075, 3089.74, 3027.91, 3009.88, 3000.23, 2988.66, 3060, 3067.76, 3100.81, 3109.81, 3051.67, 3098.1, 3144.65, 3255.52, 3297.92, 3312.98, 3350.65, 3523.31, 3583.41, 3639.72, 3681.54, 3694.09, 3772.37, 3757.92, 3958.39, 3945.68, 3965.86, 4042.23, 4023.29, 4041.46, 4074.42, 4214.92, 4082.54, 4177.64, 4057.86, 4141.45, 4052.51, 3997.61, 4353.17, 4438.36, 4409.7, 4301.11, 4296.17, 4307.78, 4367.04, 4319.36, 4285.9, 4380.46, 4265.1, 4375.24, 4415.25, 4536.41, 4698.27, 4917.4, 4927.74, 4921.8, 5098.64, 5289.39, 5292.01, 5394, 5504.48, 5547.27, 5513.64, 5601.22, 5487.78, 5589.78, 5675.93, 5880.04, 5950.78, 5870.9, 5871.3, 5897.17, 5865.79, 5886.34, 6071.01, 6159.64, 5814.21, 5789.3, 5832.46, 5929.86, 6021.39, 5996.52, 6117.98, 6153.06, 6036.58, 6018.45, 6134.5, 6203.31, 6441.81, 6492.89, 6422.92, 6746.28, 6905.81, 7088.27, 7192.86, 7138.97, 7142.96, 7249.06, 7037.63, 7190.77, 7297.81, 7236.13, 7437.02, 7426.28, 7586.49, 7894.88, 7978.65, 8184.04, 8437.43, 8737.24, 8971.31, 9144.55, 9165.95, 9246.62, 9056.9, 9014.05, 9057.9, 9204.66, 9395.77, 9620.81, 9782.32, 9733.71, 9852.66, 9928.25, 9959.83, 10085.7, 9825.46, 9763.94, 10127.2, 9936.02, 9642.98, 9517.56, 9591.02, 9608.27, 9484.1, 9695.21, 10123.7, 10270.9, 10362.9, 10788.7, 10966.7, 11425.2, 11333.9, 11507.9, 11819.4, 11890.4, 11799.7, 11558.6, 11777.8, 11945.4, 12449.2, 12120.9, 12027.2, 12232.2, 12452.3, 12536.4, 12348, 12647.8, 12926.6, 13240.3, 13349.3, 13692.2, 13982.2, 14382.2, 14325.2, 14383.1, 14584.3, 14390.8, 14587.6, 14277.7, 14843.6, 15082.1, 15518.5, 15791, 16294, 16070, 16363.4, 16513.1] \n",
    "cur_mean6=[ (999,5.25), (1999,5.5125), (2999,5.78813), (3999,6.07753), (4999,6.38141), (5999,6.70048), (6999,7.0355), (7999,7.38728), (8999,7.75664), (9999,8.14447), (10999,8.5517), (11999,8.97928), (12999,9.42825), (13999,9.89966), (14999,10.3946), (15999,10.9144), (16999,11.4601), (17999,12.0331), (18999,12.6348), (19999,13.2665), (20999,13.9298), (21999,14.6263), (22999,15.3576), (23999,16.1255), (24999,16.9318), (25999,17.7784), (26999,18.6673), (27999,19.6006), (28999,20.5807), (29999,21.6097), (30999,22.6902), (31999,23.8247), (32999,25.0159), (33999,26.2667), (34999,27.5801), (35999,28.9591), (36999,30.407), (37999,31.9274), (38999,33.5238), (39999,35.1999), (40999,36.9599), (41999,38.8079), (42999,40.7483), (43999,42.7858), (44999,44.925), (45999,47.1713), (46999,49.5299), (47999,52.0063), (48999,54.6067), (49999,57.337), (50999,60.2038), (51999,63.214), (52999,66.3747), (53999,69.6935), (54999,73.1782), (55999,76.8371), (56999,80.6789), (57999,84.7129), (58999,88.9485), (59999,93.3959), (60999,98.0657), (61999,102.969), (62999,108.117), (63999,113.523), (64999,119.2), (65999,125.159), (66999,131.417), (67999,137.988), (68999,144.888), (69999,152.132), (70999,159.739), (71999,167.726), (72999,176.112), (73999,184.918), (74999,194.163), (75999,203.872), (76999,214.065), (77999,224.768), (78999,236.007), (79999,247.807), (80999,260.198), (81999,273.207), (82999,286.868), (83999,301.211), (84999,316.272), (85999,332.085), (86999,348.69), (87999,366.124), (88999,384.43), (89999,403.652), (90999,423.834), (91999,445.026), (92999,467.277), (93999,490.641), (94999,515.173), (95999,540.932), (96999,567.979), (97999,596.378), (98999,626.196), (99999,657.506), ]\n",
    "cur_variance6=[ (999,1.1025), (1999,1.21551), (2999,1.3401), (3999,1.47746), (4999,1.62889), (5999,1.79586), (6999,1.97993), (7999,2.18287), (8999,2.40662), (9999,2.6533), (10999,2.92526), (11999,3.2251), (12999,3.55567), (13999,3.92013), (14999,4.32194), (15999,4.76494), (16999,5.25335), (17999,5.79182), (18999,6.38548), (19999,7.03999), (20999,7.76159), (21999,8.55715), (22999,9.43426), (23999,10.4013), (24999,11.4674), (25999,12.6428), (26999,13.9387), (27999,15.3674), (28999,16.9426), (29999,18.6792), (30999,20.5938), (31999,22.7047), (32999,25.0319), (33999,27.5977), (34999,30.4264), (35999,33.5451), (36999,36.9835), (37999,40.7743), (38999,44.9537), (39999,49.5614), (40999,54.6415), (41999,60.2422), (42999,66.4171), (43999,73.2248), (44999,80.7304), (45999,89.0052), (46999,98.1283), (47999,108.186), (48999,119.276), (49999,131.501), (50999,144.98), (51999,159.841), (52999,176.224), (53999,194.287), (54999,214.202), (55999,236.157), (56999,260.363), (57999,287.051), (58999,316.473), (59999,348.912), (60999,384.675), (61999,424.105), (62999,467.575), (63999,515.502), (64999,568.341), (65999,626.596), (66999,690.822), (67999,761.631), (68999,839.698), (69999,925.767), (70999,1020.66), (71999,1125.28), (72999,1240.62), (73999,1367.78), (74999,1507.98), (75999,1662.55), (76999,1832.96), (77999,2020.83), (78999,2227.97), (79999,2456.34), (80999,2708.11), (81999,2985.69), (82999,3291.73), (83999,3629.13), (84999,4001.11), (85999,4411.23), (86999,4863.38), (87999,5361.87), (88999,5911.47), (89999,6517.39), (90999,7185.42), (91999,7921.93), (92999,8733.93), (93999,9629.16), (94999,10616.1), (95999,11704.3), (96999,12904), (97999,14226.6), (98999,15684.9), (99999,17292.6), ]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "f0ab1c6b-0a68-4ed0-92e0-40f3cea477e4",
   "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(x6[start:],pmean6[start:])\n",
    "plt.plot(x6[start:],vmean6[start:])\n",
    "plt.plot([a[0] for a in cur_mean6],[a[1] for a in cur_mean6])\n",
    "plt.title(\"mean\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "464dcb13-3b61-45bb-acc7-a4a589d4c53a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "start=900\n",
    "plt.plot(x6[start:],pmean6[start:])\n",
    "plt.plot(x6[start:],vmean6[start:])\n",
    "plt.title(\"mean last part\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "ba5952e5-7cd6-4e61-9fe3-bbc89303ea90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'variance')"
      ]
     },
     "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(x6[start:],pvar6[start:])\n",
    "plt.plot(x6[start:],vvar6[start:])\n",
    "plt.plot([a[0] for a in cur_variance6],[a[1] for a in cur_variance6])\n",
    "plt.title(\"variance\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "638e674f-ce15-4ea6-9175-cf6aa7277f84",
   "metadata": {},
   "outputs": [],
   "source": [
    "x6= [1, 100, 199, 298, 397, 496, 595, 694, 793, 892, 991, 1090, 1189, 1288, 1387, 1486, 1585, 1684, 1783, 1882, 1981, 2080, 2179, 2278, 2377, 2476, 2575, 2674, 2773, 2872, 2971, 3070, 3169, 3268, 3367, 3466, 3565, 3664, 3763, 3862, 3961, 4060, 4159, 4258, 4357, 4456, 4555, 4654, 4753, 4852, 4951, 5050, 5149, 5248, 5347, 5446, 5545, 5644, 5743, 5842, 5941, 6040, 6139, 6238, 6337, 6436, 6535, 6634, 6733, 6832, 6931, 7030, 7129, 7228, 7327, 7426, 7525, 7624, 7723, 7822, 7921, 8020, 8119, 8218, 8317, 8416, 8515, 8614, 8713, 8812, 8911, 9010, 9109, 9208, 9307, 9406, 9505, 9604, 9703, 9802, 9901, 10000, 10099, 10198, 10297, 10396, 10495, 10594, 10693, 10792, 10891, 10990, 11089, 11188, 11287, 11386, 11485, 11584, 11683, 11782, 11881, 11980, 12079, 12178, 12277, 12376, 12475, 12574, 12673, 12772, 12871, 12970, 13069, 13168, 13267, 13366, 13465, 13564, 13663, 13762, 13861, 13960, 14059, 14158, 14257, 14356, 14455, 14554, 14653, 14752, 14851, 14950, 15049, 15148, 15247, 15346, 15445, 15544, 15643, 15742, 15841, 15940, 16039, 16138, 16237, 16336, 16435, 16534, 16633, 16732, 16831, 16930, 17029, 17128, 17227, 17326, 17425, 17524, 17623, 17722, 17821, 17920, 18019, 18118, 18217, 18316, 18415, 18514, 18613, 18712, 18811, 18910, 19009, 19108, 19207, 19306, 19405, 19504, 19603, 19702, 19801, 19900, 19999, 20098, 20197, 20296, 20395, 20494, 20593, 20692, 20791, 20890, 20989, 21088, 21187, 21286, 21385, 21484, 21583, 21682, 21781, 21880, 21979, 22078, 22177, 22276, 22375, 22474, 22573, 22672, 22771, 22870, 22969, 23068, 23167, 23266, 23365, 23464, 23563, 23662, 23761, 23860, 23959, 24058, 24157, 24256, 24355, 24454, 24553, 24652, 24751, 24850, 24949, 25048, 25147, 25246, 25345, 25444, 25543, 25642, 25741, 25840, 25939, 26038, 26137, 26236, 26335, 26434, 26533, 26632, 26731, 26830, 26929, 27028, 27127, 27226, 27325, 27424, 27523, 27622, 27721, 27820, 27919, 28018, 28117, 28216, 28315, 28414, 28513, 28612, 28711, 28810, 28909, 29008, 29107, 29206, 29305, 29404, 29503, 29602, 29701, 29800, 29899, 29998, 30097, 30196, 30295, 30394, 30493, 30592, 30691, 30790, 30889, 30988, 31087, 31186, 31285, 31384, 31483, 31582, 31681, 31780, 31879, 31978, 32077, 32176, 32275, 32374, 32473, 32572, 32671, 32770, 32869, 32968, 33067, 33166, 33265, 33364, 33463, 33562, 33661, 33760, 33859, 33958, 34057, 34156, 34255, 34354, 34453, 34552, 34651, 34750, 34849, 34948, 35047, 35146, 35245, 35344, 35443, 35542, 35641, 35740, 35839, 35938, 36037, 36136, 36235, 36334, 36433, 36532, 36631, 36730, 36829, 36928, 37027, 37126, 37225, 37324, 37423, 37522, 37621, 37720, 37819, 37918, 38017, 38116, 38215, 38314, 38413, 38512, 38611, 38710, 38809, 38908, 39007, 39106, 39205, 39304, 39403, 39502, 39601, 39700, 39799, 39898, 39997, 40096, 40195, 40294, 40393, 40492, 40591, 40690, 40789, 40888, 40987, 41086, 41185, 41284, 41383, 41482, 41581, 41680, 41779, 41878, 41977, 42076, 42175, 42274, 42373, 42472, 42571, 42670, 42769, 42868, 42967, 43066, 43165, 43264, 43363, 43462, 43561, 43660, 43759, 43858, 43957, 44056, 44155, 44254, 44353, 44452, 44551, 44650, 44749, 44848, 44947, 45046, 45145, 45244, 45343, 45442, 45541, 45640, 45739, 45838, 45937, 46036, 46135, 46234, 46333, 46432, 46531, 46630, 46729, 46828, 46927, 47026, 47125, 47224, 47323, 47422, 47521, 47620, 47719, 47818, 47917, 48016, 48115, 48214, 48313, 48412, 48511, 48610, 48709, 48808, 48907, 49006, 49105, 49204, 49303, 49402, 49501, 49600, 49699, 49798, 49897, 49996, 50095, 50194, 50293, 50392, 50491, 50590, 50689, 50788, 50887, 50986, 51085, 51184, 51283, 51382, 51481, 51580, 51679, 51778, 51877, 51976, 52075, 52174, 52273, 52372, 52471, 52570, 52669, 52768, 52867, 52966, 53065, 53164, 53263, 53362, 53461, 53560, 53659, 53758, 53857, 53956, 54055, 54154, 54253, 54352, 54451, 54550, 54649, 54748, 54847, 54946, 55045, 55144, 55243, 55342, 55441, 55540, 55639, 55738, 55837, 55936, 56035, 56134, 56233, 56332, 56431, 56530, 56629, 56728, 56827, 56926, 57025, 57124, 57223, 57322, 57421, 57520, 57619, 57718, 57817, 57916, 58015, 58114, 58213, 58312, 58411, 58510, 58609, 58708, 58807, 58906, 59005, 59104, 59203, 59302, 59401, 59500, 59599, 59698, 59797, 59896, 59995, 60094, 60193, 60292, 60391, 60490, 60589, 60688, 60787, 60886, 60985, 61084, 61183, 61282, 61381, 61480, 61579, 61678, 61777, 61876, 61975, 62074, 62173, 62272, 62371, 62470, 62569, 62668, 62767, 62866, 62965, 63064, 63163, 63262, 63361, 63460, 63559, 63658, 63757, 63856, 63955, 64054, 64153, 64252, 64351, 64450, 64549, 64648, 64747, 64846, 64945, 65044, 65143, 65242, 65341, 65440, 65539, 65638, 65737, 65836, 65935, 66034, 66133, 66232, 66331, 66430, 66529, 66628, 66727, 66826, 66925, 67024, 67123, 67222, 67321, 67420, 67519, 67618, 67717, 67816, 67915, 68014, 68113, 68212, 68311, 68410, 68509, 68608, 68707, 68806, 68905, 69004, 69103, 69202, 69301, 69400, 69499, 69598, 69697, 69796, 69895, 69994, 70093, 70192, 70291, 70390, 70489, 70588, 70687, 70786, 70885, 70984, 71083, 71182, 71281, 71380, 71479, 71578, 71677, 71776, 71875, 71974, 72073, 72172, 72271, 72370, 72469, 72568, 72667, 72766, 72865, 72964, 73063, 73162, 73261, 73360, 73459, 73558, 73657, 73756, 73855, 73954, 74053, 74152, 74251, 74350, 74449, 74548, 74647, 74746, 74845, 74944, 75043, 75142, 75241, 75340, 75439, 75538, 75637, 75736, 75835, 75934, 76033, 76132, 76231, 76330, 76429, 76528, 76627, 76726, 76825, 76924, 77023, 77122, 77221, 77320, 77419, 77518, 77617, 77716, 77815, 77914, 78013, 78112, 78211, 78310, 78409, 78508, 78607, 78706, 78805, 78904, 79003, 79102, 79201, 79300, 79399, 79498, 79597, 79696, 79795, 79894, 79993, 80092, 80191, 80290, 80389, 80488, 80587, 80686, 80785, 80884, 80983, 81082, 81181, 81280, 81379, 81478, 81577, 81676, 81775, 81874, 81973, 82072, 82171, 82270, 82369, 82468, 82567, 82666, 82765, 82864, 82963, 83062, 83161, 83260, 83359, 83458, 83557, 83656, 83755, 83854, 83953, 84052, 84151, 84250, 84349, 84448, 84547, 84646, 84745, 84844, 84943, 85042, 85141, 85240, 85339, 85438, 85537, 85636, 85735, 85834, 85933, 86032, 86131, 86230, 86329, 86428, 86527, 86626, 86725, 86824, 86923, 87022, 87121, 87220, 87319, 87418, 87517, 87616, 87715, 87814, 87913, 88012, 88111, 88210, 88309, 88408, 88507, 88606, 88705, 88804, 88903, 89002, 89101, 89200, 89299, 89398, 89497, 89596, 89695, 89794, 89893, 89992, 90091, 90190, 90289, 90388, 90487, 90586, 90685, 90784, 90883, 90982, 91081, 91180, 91279, 91378, 91477, 91576, 91675, 91774, 91873, 91972, 92071, 92170, 92269, 92368, 92467, 92566, 92665, 92764, 92863, 92962, 93061, 93160, 93259, 93358, 93457, 93556, 93655, 93754, 93853, 93952, 94051, 94150, 94249, 94348, 94447, 94546, 94645, 94744, 94843, 94942, 95041, 95140, 95239, 95338, 95437, 95536, 95635, 95734, 95833, 95932, 96031, 96130, 96229, 96328, 96427, 96526, 96625, 96724, 96823, 96922, 97021, 97120, 97219, 97318, 97417, 97516, 97615, 97714, 97813, 97912, 98011, 98110, 98209, 98308, 98407, 98506, 98605, 98704, 98803, 98902, 99001, 99100, 99199, 99298, 99397, 99496, 99595, 99694, 99793, 99892, 99991] \n",
    "pmean6= [5.04398, 5.0325, 5.04257, 5.03597, 5.03583, 5.03906, 5.0191, 5.01552, 5.0223, 5.01878, 5.02425, 5.05453, 5.0957, 5.13956, 5.1851, 5.21387, 5.22392, 5.24161, 5.25261, 5.26032, 5.26867, 5.3211, 5.39446, 5.44582, 5.51443, 5.57109, 5.62465, 5.67689, 5.70849, 5.74954, 5.79393, 5.88873, 5.97712, 6.03673, 6.09647, 6.14642, 6.17569, 6.20518, 6.24688, 6.29807, 6.31112, 6.38186, 6.44659, 6.5194, 6.59051, 6.63848, 6.70677, 6.78023, 6.82064, 6.88038, 6.89686, 6.98285, 7.11095, 7.18512, 7.29193, 7.35374, 7.41547, 7.486, 7.54081, 7.59303, 7.64324, 7.72716, 7.85071, 7.9424, 8.03245, 8.11712, 8.17456, 8.2398, 8.28249, 8.34067, 8.40537, 8.4778, 8.59267, 8.68576, 8.8217, 8.92542, 8.99595, 9.06316, 9.13525, 9.19404, 9.21706, 9.2634, 9.41815, 9.58101, 9.6837, 9.78072, 9.88278, 9.93387, 10.0194, 10.0974, 10.1721, 10.2579, 10.4423, 10.5431, 10.6259, 10.7403, 10.838, 10.8694, 10.9598, 11.0435, 11.0779, 11.1664, 11.2874, 11.4291, 11.5873, 11.7316, 11.8349, 11.9151, 12.0104, 12.0897, 12.1789, 12.2692, 12.4366, 12.637, 12.7987, 12.9077, 13.0958, 13.2051, 13.301, 13.4152, 13.5089, 13.5373, 13.722, 13.8662, 14.0401, 14.1723, 14.263, 14.3821, 14.5286, 14.658, 14.7648, 14.8712, 15.0265, 15.1926, 15.3734, 15.5512, 15.6895, 15.8567, 15.985, 16.0904, 16.1829, 16.2976, 16.4356, 16.64, 16.8638, 17.0619, 17.2075, 17.4001, 17.5839, 17.7468, 17.8245, 17.9855, 18.1046, 18.331, 18.6193, 18.7286, 18.9408, 19.0742, 19.2673, 19.4484, 19.6348, 19.6826, 19.8507, 20.0549, 20.3597, 20.5718, 20.7688, 20.9807, 21.1461, 21.4049, 21.5648, 21.7168, 21.9033, 22.2514, 22.4989, 22.7795, 22.9987, 23.2076, 23.4206, 23.595, 23.7211, 23.8495, 24.0317, 24.3888, 24.7066, 24.9581, 25.144, 25.3788, 25.652, 25.8015, 25.9645, 26.046, 26.3283, 26.7906, 27.1531, 27.475, 27.8225, 28.0413, 28.3447, 28.4957, 28.751, 28.9425, 29.1222, 29.4293, 29.8281, 30.0778, 30.3443, 30.6879, 31.0035, 31.2495, 31.5219, 31.6476, 31.8691, 32.3195, 32.8538, 33.1749, 33.4115, 33.7684, 33.9844, 34.2897, 34.5929, 34.6634, 34.8837, 35.3722, 35.8809, 36.1706, 36.5996, 36.8969, 37.2201, 37.5407, 37.7651, 38.075, 38.2448, 38.728, 39.1536, 39.7157, 40.065, 40.427, 40.8699, 41.1766, 41.5759, 41.9238, 42.1924, 42.7909, 43.4401, 43.9385, 44.4983, 44.9792, 45.3753, 45.6266, 46.0817, 46.5266, 46.8308, 47.338, 47.9666, 48.6763, 49.0155, 49.4739, 49.8698, 50.322, 50.6046, 51.1577, 51.4166, 51.9838, 52.6896, 53.3084, 54.0296, 54.5324, 54.9867, 55.378, 55.9099, 56.0352, 56.4089, 57.009, 57.7606, 58.8044, 59.7248, 60.2653, 60.7874, 61.196, 61.3751, 61.7423, 62.0364, 62.6245, 63.3864, 64.1137, 64.8177, 65.5206, 66.0288, 66.6765, 67.3572, 67.8926, 68.1488, 68.7138, 69.9638, 70.7386, 71.4462, 72.3785, 72.8263, 73.49, 74.0133, 74.4658, 74.8103, 75.3063, 76.4841, 77.4487, 78.4606, 79.4316, 80.3451, 80.8962, 81.4934, 82.3114, 82.758, 83.2037, 84.553, 85.1704, 86.1241, 86.8291, 87.4842, 88.4275, 88.9413, 89.5832, 90.2165, 90.9602, 91.9613, 93.4974, 94.3394, 95.3977, 96.4364, 97.09, 97.951, 98.7169, 99.1818, 99.6629, 100.964, 102.57, 104.104, 105.108, 106.136, 107.434, 108.141, 108.827, 109.701, 110.442, 111.944, 113.688, 115.297, 116.703, 118.169, 119.299, 120.272, 121.095, 121.671, 121.955, 122.889, 124.559, 126.043, 127.48, 128.841, 130.112, 131.166, 132.412, 133.75, 134.308, 135.558, 137.674, 139.124, 140.345, 142.205, 142.817, 143.756, 145.009, 146.081, 146.672, 147.752, 150.189, 152.458, 154.055, 155.317, 156.322, 157.272, 158.53, 159.597, 160.581, 162.423, 164.523, 167.452, 168.767, 171.063, 171.93, 173.912, 175.231, 176.189, 177.337, 178.313, 181.422, 183.206, 184.743, 186.196, 187.603, 189.272, 191.273, 192.637, 194.067, 194.613, 197.094, 199.374, 201.826, 203.834, 204.635, 206.78, 209.142, 210.831, 212.592, 213.896, 217.101, 220.089, 222.143, 224.163, 225.783, 228.707, 230.552, 232.025, 233.624, 233.836, 237.01, 240.73, 244.645, 248.229, 250.828, 253.352, 255.25, 256.194, 258.291, 259.496, 262.553, 266.408, 269.801, 272.832, 275.397, 277.674, 280.177, 282.015, 283.803, 285.934, 287.902, 291.288, 295.834, 298.428, 301.71, 304.968, 307.108, 310.229, 311.886, 315.014, 317.39, 321.89, 325.801, 329.43, 333.608, 337.036, 339.247, 342.405, 344.027, 344.918, 347.373, 352.638, 356.668, 362.395, 367.12, 370.418, 371.524, 374.323, 376.999, 379.409, 380.95, 387.118, 392.314, 397.735, 401.545, 405.368, 407.633, 410.679, 413.324, 416.673, 419.987, 427.176, 432.125, 435.499, 438.97, 444.147, 446.31, 451.521, 454.844, 458.233, 461.004, 468.352, 474.598, 479.179, 485.129, 490.461, 493.842, 497.676, 499.587, 502.532, 505.937, 511.842, 518.289, 523.297, 528.545, 533.846, 537.866, 542.615, 547.535, 549.662, 553.565, 561.853, 571.087, 578.712, 586.84, 592.28, 598.784, 603.955, 609.796, 613.571, 615.718, 624.642, 630.721, 639.144, 645.096, 650.724, 654.17, 657.715, 663.475, 668.976, 674.154, 679.938, 692.638, 702.651, 708.961, 715.983, 721.511, 727.013, 733.335, 738.803, 741.774, 751.945, 763.938, 772.755, 780.651, 787.836, 794.501, 798.494, 806.413, 812.022, 818.945, 828.748, 840.836, 853.189, 859.101, 869.103, 877.945, 883.461, 887.671, 892.551, 898.872, 907.688, 918.648, 929.655, 937.32, 948.196, 956.304, 961.885, 966.747, 973.551, 976.599, 984.505, 996.588, 1014.12, 1025.37, 1039.36, 1052.74, 1058.82, 1071.17, 1082.45, 1088.16, 1091.33, 1106.79, 1123.82, 1133.6, 1146.8, 1158.09, 1169.44, 1178.48, 1183.12, 1187.64, 1195.1, 1212.75, 1230.21, 1244.83, 1259.13, 1270.78, 1281.63, 1289.73, 1297.39, 1305.55, 1311.5, 1324.69, 1346.63, 1364.72, 1381.82, 1390.16, 1401.71, 1410.19, 1410.3, 1420.15, 1431.6, 1453.99, 1466.82, 1484.78, 1500.83, 1510.78, 1532.99, 1550.04, 1559.93, 1575.35, 1583.23, 1605.6, 1625.45, 1648.27, 1663.53, 1679.6, 1691.35, 1707.24, 1718.39, 1730.88, 1739.84, 1755.27, 1776.83, 1795.9, 1817.63, 1840.67, 1850.27, 1865.33, 1879.25, 1897.19, 1903, 1922.1, 1953.38, 1979.51, 2000.48, 2010.43, 2029.94, 2040.65, 2059.35, 2078.02, 2090.55, 2106.6, 2141.67, 2170.86, 2202.92, 2223.93, 2240.12, 2261.2, 2282.55, 2302.71, 2325.67, 2348.2, 2385.75, 2414.08, 2430.46, 2459.64, 2477.87, 2491.71, 2505.71, 2513.47, 2535.67, 2551.62, 2588.56, 2617.33, 2640.74, 2669.17, 2695.77, 2715.5, 2744.48, 2765.99, 2777.78, 2795.58, 2842.36, 2887.71, 2926.4, 2955.66, 2990.64, 3015.05, 3037.18, 3054.24, 3075.54, 3102.17, 3152.38, 3185.75, 3228.76, 3254.74, 3279.62, 3306.04, 3338.29, 3358.67, 3378.89, 3412.68, 3453.57, 3488.76, 3523.29, 3578.62, 3609.81, 3635.63, 3658.37, 3695.55, 3729.72, 3752.82, 3807.21, 3852.88, 3908.43, 3943.32, 3977.39, 4006.54, 4036.63, 4056.79, 4074.55, 4095.21, 4160.19, 4216.03, 4256.62, 4293.77, 4330.45, 4377.28, 4411.15, 4456.05, 4492.03, 4525.28, 4591.77, 4664.05, 4707.99, 4765.29, 4807.77, 4835.46, 4866.13, 4888.74, 4917.52, 4946.2, 4987.51, 5066.77, 5158.48, 5217.1, 5250.6, 5305.29, 5361.85, 5405.18, 5438.7, 5489.27, 5524.29, 5604.82, 5677.54, 5751.04, 5803.09, 5847.69, 5887.6, 5935.54, 5977.53, 6004.86, 6069.47, 6156.32, 6242.88, 6301.72, 6342.93, 6397.81, 6439.21, 6506.77, 6532.58, 6565.29, 6622.49, 6706.58, 6787.82, 6856.88, 6948.19, 7009.82, 7097.84, 7152.31, 7191.1, 7223.89, 7272.17, 7356.92, 7454.36, 7557.7, 7667.28, 7731.4, 7812.03, 7879.21, 7906.87, 7948.99, 8022.26, 8167.06, 8271.83, 8374.96, 8468.4, 8559.67, 8621.91, 8691.69, 8761.6, 8836.86, 8882.87, 9021.16, 9120.67, 9241.02, 9386.32, 9486.88, 9566.25, 9632.63, 9671.69, 9701.79, 9739.18, 9902.99, 10016.4, 10152.4, 10240.7, 10331.9, 10429.5, 10504.6, 10610.2, 10674.2, 10701.1, 10819, 10953.4, 11095.4, 11207, 11296.5, 11403.6, 11485, 11557.9, 11668.8, 11751.3, 11927.7, 12107, 12241.3, 12373.2, 12472, 12558.9, 12648.1, 12748.5, 12834.9, 12916.4, 13082.7, 13245.9, 13449.7, 13630.8, 13740.8, 13818.9, 13955.4, 14071.6, 14125.3, 14242.6, 14392.4, 14652.5, 14782.8, 14933.7, 15009.9, 15135.8, 15262.6, 15401.2, 15488.8, 15595.8, 15708.8, 15967.5, 16184.6, 16368.8, 16581.7, 16733.2, 16868.1, 17024.1, 17187.9, 17272.2, 17420.8, 17712.8, 17970.7, 18137.1, 18287, 18489.1, 18636.3, 18771.7, 18905.3, 18939.8, 18991.1, 19214.4, 19538.9, 19796, 20019.4, 20227.6, 20413.7, 20552.5, 20845.3, 20938.2, 20968.6, 21285.4, 21545.7, 21770.8, 21985.2, 22224.9, 22305, 22544.2, 22605.6, 22800.6, 22873.9, 23138.9, 23459.3, 23885.8, 24175.2, 24413.9, 24721.1, 24834.5, 25043.2, 25260.4, 25395.9, 25729, 26022.5, 26200.6, 26421.6, 26730.6, 26878.4, 27114.9, 27341.7, 27444, 27672, 27873.7, 28233.1, 28656.1, 29092.4, 29410.1, 29634.3, 29756.9, 29948, 30139.9, 30407.2, 30843, 31291.4, 31664.7, 31977, 32296.4, 32569.4, 32980.1, 33148.1, 33326.4, 33629.6, 34024.7, 34512.7, 35018.8, 35441.8, 35862.9, 36140.5, 36434.4, 36612.5, 36795.1, 37015.9, 37325.6, 37907.5, 38423.6, 38808.2, 39202.8, 39695.4, 40019.9, 40278.4, 40438.5, 40655.4, 40914.8, 41416.8, 41932.7, 42414.8, 42798.8, 43243.1, 43596.9, 43968.9, 44306.9, 44505.3, 44797.5, 45322.3, 45834.7, 46544, 47040.1, 47530.2, 47902.9, 48227.1, 48538.3, 48822.3, 48970.9, 49929.6, 50502, 51191.4, 51761.7, 52289.3, 52664.1, 53072.3, 53361.3, 53670.4, 53848.7, 54581.6, 55364.9, 56101.4, 56692.9, 57190.4, 57769.8, 58474.9, 58981.2, 59135.4, 59454.1] \n",
    "pvar6= [0.988668, 0.985129, 0.970202, 0.986449, 0.989503, 1.01921, 1.00187, 0.992288, 1.00797, 1.01324, 0.994892, 1.01701, 1.06235, 1.09891, 1.1148, 1.13272, 1.15124, 1.16444, 1.17948, 1.21814, 1.21541, 1.20679, 1.28438, 1.33012, 1.38862, 1.41337, 1.46646, 1.52123, 1.52588, 1.53699, 1.52542, 1.64657, 1.71725, 1.75338, 1.76752, 1.78437, 1.83248, 1.81646, 1.80619, 1.86291, 1.87778, 1.96322, 2.05753, 2.08781, 2.17716, 2.15207, 2.18878, 2.24257, 2.29502, 2.32662, 2.26518, 2.37682, 2.54078, 2.57281, 2.66279, 2.67679, 2.7087, 2.72356, 2.6964, 2.72944, 2.73321, 2.95062, 3.10257, 3.13873, 3.2783, 3.2542, 3.21932, 3.21116, 3.23079, 3.33657, 3.3959, 3.44804, 3.59371, 3.73503, 3.87641, 3.97243, 3.98265, 3.94263, 3.97861, 4.00173, 3.99981, 3.95711, 4.25728, 4.51534, 4.66284, 4.74138, 4.76339, 4.80688, 4.90878, 5.03083, 5.04534, 5.04689, 5.40378, 5.44388, 5.45634, 5.71058, 5.65145, 5.73934, 5.76956, 5.90319, 5.95123, 5.84945, 6.27232, 6.66531, 6.93714, 7.17559, 7.24733, 7.16045, 7.15878, 7.03475, 6.95036, 7.02213, 7.50456, 8.0014, 8.36303, 8.3727, 8.53992, 8.6468, 8.77287, 8.59468, 8.76974, 8.73149, 9.15167, 9.33957, 9.58368, 9.88149, 10.1256, 10.2893, 10.2893, 10.5619, 10.8009, 10.7051, 10.9148, 11.2932, 11.3549, 11.523, 11.7514, 11.7379, 12.0638, 12.0747, 12.1889, 12.357, 12.6386, 13.0323, 13.3256, 13.6587, 14.0078, 14.6161, 14.8558, 15.1399, 15.5738, 15.7585, 16.0425, 16.6668, 17.2454, 16.9263, 17.5418, 17.3529, 18.0577, 19.1007, 19.0577, 18.7823, 19.4337, 19.721, 20.7731, 21.213, 21.5604, 22.018, 22.0119, 22.5587, 22.8306, 22.7118, 23.6072, 24.9017, 25.931, 26.5333, 26.7384, 26.7137, 27.2388, 27.1811, 26.9137, 26.4293, 26.5689, 28.1625, 29.5019, 30.271, 30.8054, 31.4377, 31.8094, 31.8919, 31.6939, 31.716, 32.6089, 34.8793, 36.0924, 36.4327, 38.5241, 38.5555, 39.2488, 39.1018, 39.6174, 39.6212, 40.5123, 41.0221, 43.0181, 42.9375, 43.9041, 46.8758, 46.5499, 47.0794, 48.1026, 47.9906, 47.1868, 48.4928, 51.2352, 52.4618, 53.4228, 55.0422, 55.9584, 56.2931, 56.0327, 55.9677, 56.513, 59.4815, 62.8679, 64.6615, 66.0538, 66.8297, 66.4211, 68.8907, 70.1316, 69.611, 68.6183, 72.3206, 75.7733, 79.5777, 82.3414, 85.097, 86.8071, 87.2842, 87.9715, 90.2652, 88.486, 92.8155, 95.4254, 99.2746, 102.459, 102.082, 103.436, 104.774, 105.209, 106.705, 105.433, 108.888, 112.51, 115.924, 114.727, 117.895, 120.18, 123.998, 124.046, 127.464, 127.457, 131.443, 137.423, 139.217, 142.829, 145.591, 147.879, 149.737, 154.34, 151.592, 149.782, 150.713, 154.756, 166.807, 172.317, 176.349, 177.146, 180.248, 179.366, 178.847, 181.781, 183.848, 191.353, 196.372, 204.756, 210.723, 208.04, 217.891, 216.285, 216.251, 218.327, 218.259, 237.022, 245.928, 258.698, 267.066, 265.592, 268.608, 271.471, 271.187, 268.779, 268.767, 283.333, 294.607, 305.044, 310.994, 318.631, 310.299, 313.896, 321.846, 312.912, 310.203, 335.44, 355.7, 372.166, 375.105, 379.201, 390.571, 392.57, 404.78, 404.417, 405.291, 422.892, 447.946, 456.974, 459.76, 484.384, 486.592, 485.406, 490.807, 494.164, 497.88, 520.367, 543.121, 565.76, 574.792, 576.001, 585.855, 578.373, 579.658, 585.197, 596.606, 623.345, 647.813, 676.488, 696.873, 705.773, 711.05, 722.556, 723.993, 710.875, 692.539, 713.157, 747.216, 784.696, 814.637, 815.564, 828.064, 826.736, 839.489, 862.264, 879.319, 882.936, 935.113, 948.368, 972.513, 1005.66, 976.969, 977.451, 977.244, 964.261, 965.447, 993.612, 1058.76, 1142.38, 1157.42, 1187.66, 1219.71, 1200.37, 1224.9, 1215.79, 1230, 1282.45, 1315.56, 1390.58, 1391.22, 1466.48, 1500.55, 1562.54, 1570.48, 1559.61, 1540.04, 1525.84, 1608.66, 1642.84, 1687.54, 1735.44, 1722.54, 1817.78, 1821.7, 1835.89, 1838.64, 1787.63, 1853.67, 1960.32, 2040.48, 2073.55, 2084.82, 2148.22, 2176.16, 2183.33, 2249.27, 2249.61, 2339.13, 2430.58, 2437.15, 2445.34, 2462.86, 2541.06, 2559.06, 2609.1, 2566.58, 2555.06, 2716.69, 2853.21, 3054.67, 3153.97, 3219.54, 3272.96, 3222.04, 3229.43, 3254.94, 3323.27, 3349.2, 3551.21, 3566.79, 3638.37, 3775.31, 3780.4, 3799.76, 3852.79, 3905.09, 3858.02, 3956.61, 4150.48, 4387.19, 4382.67, 4476.58, 4538.33, 4513.7, 4584.28, 4693.08, 4818.75, 4956.54, 5183.44, 5377.91, 5535.6, 5733.97, 5755.46, 5712.54, 5682.13, 5637.18, 5612.67, 5732.81, 5922.82, 6210, 6539.12, 6771.26, 6877.09, 6855.54, 6765.08, 6901.5, 6831.56, 6775.08, 7285.55, 7563.61, 7832.69, 8172.56, 8295.93, 8273.77, 8291.52, 8388.77, 8373.69, 8473.14, 8968.07, 9074.64, 9162.14, 9351.4, 9626.05, 9728.37, 9777.98, 9686.32, 9648.84, 9646.59, 10429.5, 10798.3, 11127.7, 11429.5, 11716.5, 11754.1, 11815.2, 11526, 11576.6, 11827.4, 12788.3, 13387.7, 13634.5, 13895.6, 14157.8, 14240, 14387.1, 14690.9, 14548.2, 14644.6, 15870.5, 16960.7, 17803.9, 17950.9, 18269.3, 18411.6, 18060.4, 18280.3, 18397.1, 18210.4, 19158.2, 19306.1, 19970, 20377.2, 20369.3, 20402.8, 19813.3, 20668.3, 20913.9, 21187.7, 21941.6, 23674.4, 23864.4, 24005.7, 24485.9, 24672, 24651, 24672.1, 24731.6, 24733.8, 25645.3, 27750.4, 28587.5, 28938.4, 29603.3, 29643, 30078.4, 30320.4, 30083.2, 30778.8, 32593.4, 35454.8, 36617.1, 36637.4, 37828.9, 38704.6, 38578.8, 39244.8, 39269.6, 39596.3, 39890, 40858.8, 43060.5, 43334.4, 44783.4, 44391.2, 44934.6, 45436.6, 45346.2, 44998.9, 45090.7, 47304.9, 50999.1, 51809, 53793.9, 54747.3, 54132.5, 55908.6, 57140.4, 56518.9, 56558, 60238, 64693, 64676.2, 66595.2, 67114.8, 68039.8, 67550, 66274.5, 66542.1, 66794.7, 71771.7, 76548.4, 77543.3, 79430.7, 79703.9, 80334.1, 78973.6, 80736.1, 79865.9, 80534.2, 84023.3, 89834.9, 95177.1, 98919.1, 98900, 100464, 99390.1, 99909.9, 100953, 100920, 106720, 110401, 111542, 113128, 115297, 121042, 121896, 119937, 121053, 120555, 129549, 132348, 133762, 132997, 134609, 137322, 140859, 140848, 143207, 143916, 150778, 155830, 157506, 161701, 166663, 166323, 170641, 169385, 172026, 170948, 169628, 182188, 187503, 192625, 193882, 195518, 199324, 201209, 202302, 207726, 209736, 226245, 235831, 246434, 256526, 255277, 253858, 254743, 250928, 259101, 268901, 281388, 287165, 291817, 295383, 296518, 293551, 295850, 294359, 294591, 294241, 314028, 325665, 339645, 348600, 358903, 368660, 375121, 376385, 374949, 376041, 398187, 420770, 441920, 452010, 471093, 484863, 477174, 473869, 471047, 481206, 505874, 507512, 519789, 530367, 538607, 545232, 549081, 551290, 548145, 548388, 573384, 585455, 597058, 623189, 633050, 636521, 648670, 656686, 680718, 682075, 717732, 755961, 783126, 795513, 784919, 797067, 803673, 787774, 803545, 804416, 882692, 914326, 926895, 935139, 949087, 973067, 965171, 993156, 997117, 985500, 1.03355e+06, 1.09583e+06, 1.09013e+06, 1.12457e+06, 1.13717e+06, 1.13675e+06, 1.15257e+06, 1.14176e+06, 1.14123e+06, 1.13702e+06, 1.15619e+06, 1.20919e+06, 1.30457e+06, 1.37411e+06, 1.36912e+06, 1.42767e+06, 1.49083e+06, 1.438e+06, 1.42866e+06, 1.44711e+06, 1.4869e+06, 1.55588e+06, 1.62867e+06, 1.69259e+06, 1.69605e+06, 1.70216e+06, 1.69202e+06, 1.68158e+06, 1.67615e+06, 1.65724e+06, 1.71572e+06, 1.83012e+06, 1.91365e+06, 1.95958e+06, 1.95633e+06, 1.98014e+06, 1.98567e+06, 2.03119e+06, 2.00163e+06, 2.00677e+06, 2.00885e+06, 2.15864e+06, 2.23599e+06, 2.26434e+06, 2.34274e+06, 2.46634e+06, 2.5619e+06, 2.59561e+06, 2.57847e+06, 2.56703e+06, 2.53749e+06, 2.6019e+06, 2.72376e+06, 2.85879e+06, 2.94428e+06, 2.93398e+06, 2.93966e+06, 2.96043e+06, 3.00812e+06, 2.96008e+06, 3.09581e+06, 3.25971e+06, 3.46503e+06, 3.49287e+06, 3.55837e+06, 3.66297e+06, 3.60774e+06, 3.6107e+06, 3.63894e+06, 3.64536e+06, 3.68092e+06, 3.96762e+06, 4.0737e+06, 4.31986e+06, 4.48102e+06, 4.55681e+06, 4.60829e+06, 4.56045e+06, 4.47186e+06, 4.44803e+06, 4.37142e+06, 4.66874e+06, 4.79671e+06, 5.04226e+06, 5.1055e+06, 5.11669e+06, 5.12689e+06, 5.19487e+06, 5.20888e+06, 5.22398e+06, 5.20161e+06, 5.41823e+06, 5.57267e+06, 5.81658e+06, 5.90647e+06, 6.01906e+06, 6.07398e+06, 6.16133e+06, 6.16709e+06, 6.1689e+06, 6.20942e+06, 6.71276e+06, 7.1727e+06, 7.37414e+06, 7.58501e+06, 7.65175e+06, 7.67912e+06, 7.76068e+06, 7.95171e+06, 7.90434e+06, 7.78283e+06, 8.29471e+06, 8.52466e+06, 9.06526e+06, 9.57581e+06, 9.55137e+06, 9.63788e+06, 9.67413e+06, 1.0053e+07, 9.92263e+06, 9.83611e+06, 1.00864e+07, 1.09084e+07, 1.0975e+07, 1.09986e+07, 1.10242e+07, 1.11707e+07, 1.15679e+07, 1.16007e+07, 1.15264e+07, 1.15243e+07, 1.1739e+07, 1.22406e+07, 1.28934e+07, 1.32024e+07, 1.37081e+07, 1.42126e+07, 1.44672e+07, 1.48181e+07, 1.4964e+07, 1.52837e+07, 1.53553e+07, 1.60231e+07, 1.67609e+07, 1.70744e+07, 1.69526e+07, 1.73219e+07, 1.74118e+07, 1.72397e+07, 1.72117e+07, 1.69348e+07, 1.69972e+07, 1.75693e+07, 1.8569e+07, 1.94586e+07, 1.99745e+07, 2.03266e+07, 2.08292e+07, 2.0978e+07, 2.18548e+07, 2.18249e+07, 2.13324e+07, 2.19824e+07, 2.22866e+07, 2.30552e+07, 2.29045e+07, 2.27264e+07, 2.28801e+07, 2.31967e+07, 2.30302e+07, 2.34708e+07, 2.42926e+07, 2.44664e+07, 2.58806e+07, 2.80105e+07, 2.9013e+07, 2.91981e+07, 2.94448e+07, 2.88764e+07, 2.89506e+07, 2.88424e+07, 2.91016e+07, 3.09585e+07, 3.24103e+07, 3.26611e+07, 3.33209e+07, 3.37776e+07, 3.37403e+07, 3.43054e+07, 3.49629e+07, 3.47296e+07, 3.51377e+07, 3.6362e+07, 3.81804e+07, 4.08177e+07, 4.32324e+07, 4.42679e+07, 4.39439e+07, 4.29679e+07, 4.19497e+07, 4.29803e+07, 4.35958e+07, 4.55478e+07, 4.73476e+07, 4.92193e+07, 5.12923e+07, 5.18969e+07, 5.18778e+07, 5.41967e+07, 5.43772e+07, 5.33226e+07, 5.51129e+07, 5.63293e+07, 5.87769e+07, 6.08162e+07, 6.29575e+07, 6.30475e+07, 6.29907e+07, 6.39068e+07, 6.38122e+07, 6.43394e+07, 6.48448e+07, 6.6806e+07, 7.13522e+07, 7.45696e+07, 7.71817e+07, 7.8905e+07, 8.04406e+07, 8.00219e+07, 8.10085e+07, 8.13188e+07, 7.97757e+07, 8.07001e+07, 8.39303e+07, 8.63106e+07, 8.75552e+07, 8.8123e+07, 8.98122e+07, 9.21277e+07, 9.18418e+07, 9.28592e+07, 9.53156e+07, 9.76909e+07, 1.00283e+08, 1.04216e+08, 1.10917e+08, 1.13106e+08, 1.13882e+08, 1.17748e+08, 1.20464e+08, 1.22438e+08, 1.21761e+08, 1.20722e+08, 1.29209e+08, 1.3235e+08, 1.357e+08, 1.38402e+08, 1.41622e+08, 1.4063e+08, 1.4217e+08, 1.41115e+08, 1.42892e+08, 1.42315e+08, 1.48919e+08, 1.53924e+08, 1.6081e+08, 1.62948e+08, 1.64755e+08, 1.69433e+08, 1.73095e+08, 1.72959e+08, 1.72598e+08, 1.71759e+08] \n",
    "vmean6= [5.04281, 5.03341, 5.03732, 5.01248, 5.02356, 5.02024, 4.99171, 5.00073, 5.00148, 5.01122, 5.00633, 5.05258, 5.08832, 5.15285, 5.20024, 5.24555, 5.28861, 5.33337, 5.36162, 5.39705, 5.42181, 5.4718, 5.53781, 5.56767, 5.63339, 5.68843, 5.76128, 5.84729, 5.90706, 5.98739, 6.07461, 6.18375, 6.25084, 6.32293, 6.36437, 6.42757, 6.45078, 6.48544, 6.53848, 6.60817, 6.62662, 6.66449, 6.68879, 6.74253, 6.80104, 6.85766, 6.93811, 7.04276, 7.08857, 7.16613, 7.22729, 7.3013, 7.42896, 7.49264, 7.59353, 7.68312, 7.74481, 7.82126, 7.90751, 7.96738, 8.06505, 8.1457, 8.224, 8.31221, 8.36609, 8.46451, 8.53988, 8.59488, 8.66311, 8.74135, 8.82574, 8.90861, 8.97336, 9.03779, 9.17189, 9.26794, 9.3573, 9.44467, 9.5651, 9.64523, 9.6809, 9.73741, 9.85007, 10.0138, 10.0808, 10.1501, 10.2574, 10.3341, 10.4311, 10.5416, 10.6801, 10.8372, 10.9805, 11.0001, 11.0746, 11.1974, 11.2759, 11.3523, 11.451, 11.5556, 11.6044, 11.7104, 11.7384, 11.8466, 12.0222, 12.1292, 12.2472, 12.3737, 12.5087, 12.6142, 12.7711, 12.8848, 13.0339, 13.2284, 13.349, 13.429, 13.6379, 13.7901, 13.9206, 14.0839, 14.2169, 14.2945, 14.4253, 14.5238, 14.6561, 14.795, 14.8138, 14.9353, 15.1041, 15.2372, 15.3826, 15.5848, 15.7061, 15.8442, 16.0035, 16.1676, 16.364, 16.5601, 16.6866, 16.8059, 16.9304, 17.0774, 17.1984, 17.3751, 17.5719, 17.7544, 17.9121, 18.0879, 18.303, 18.5324, 18.6556, 18.8767, 19.0346, 19.1973, 19.464, 19.5397, 19.7761, 19.9002, 20.0695, 20.2428, 20.5025, 20.6141, 20.8215, 20.9845, 21.1729, 21.4277, 21.6242, 21.8946, 22.0438, 22.2968, 22.4814, 22.7697, 23.0337, 23.3726, 23.5459, 23.8208, 24.0512, 24.2933, 24.5728, 24.6879, 24.8488, 25.0397, 25.2807, 25.4967, 25.75, 25.9693, 26.1609, 26.4083, 26.6782, 26.8279, 27.1434, 27.3043, 27.6181, 27.9996, 28.2733, 28.58, 28.9883, 29.2997, 29.5689, 29.8281, 30.1698, 30.5759, 30.8288, 30.9018, 31.1777, 31.3836, 31.5533, 31.8942, 32.204, 32.6088, 32.8619, 33.0711, 33.3586, 33.8287, 34.2795, 34.6105, 34.8678, 35.2156, 35.4201, 35.8138, 36.1376, 36.405, 36.6709, 37.0278, 37.247, 37.5491, 38.0585, 38.3507, 38.707, 39.0667, 39.3327, 39.8202, 40.1229, 40.5375, 40.7957, 41.4039, 41.6449, 42.0711, 42.5563, 42.8495, 43.4565, 43.8407, 44.3165, 44.9027, 45.5483, 45.8871, 46.5158, 47.0058, 47.4765, 47.8633, 48.4001, 48.9344, 49.3538, 49.7835, 50.2031, 50.8518, 51.1045, 51.5526, 51.9992, 52.6349, 53.0172, 53.5187, 54.0049, 54.5328, 55.0787, 55.4116, 56.216, 56.8275, 57.3706, 57.8549, 58.6088, 58.7376, 59.2824, 59.9306, 60.4331, 61.4298, 62.1506, 62.7023, 63.3635, 63.9209, 64.0807, 64.8688, 65.3969, 65.9958, 66.6166, 66.8678, 67.183, 67.7218, 68.2299, 69.0504, 70.105, 70.9071, 71.4326, 72.0722, 73.2151, 73.9151, 74.5973, 75.5408, 76.1314, 76.9181, 77.2792, 77.8592, 78.5678, 79.3435, 79.8703, 80.5276, 81.6541, 82.3407, 83.6902, 84.1952, 85.0425, 86.2071, 87.115, 87.8724, 88.7861, 89.1818, 89.997, 90.3818, 90.9041, 91.9981, 92.6396, 93.1423, 94.2209, 95.1898, 95.6094, 97.3089, 98.1523, 99.2121, 100.547, 101.098, 102.37, 103.432, 104.128, 104.625, 105.789, 106.828, 108.528, 109.391, 110.479, 112.034, 112.924, 113.871, 115.321, 116.598, 118.042, 119.209, 120.433, 121.823, 123.467, 124.602, 125.969, 127.33, 128.277, 128.856, 129.618, 130.479, 131.365, 132.601, 133.554, 134.777, 135.875, 137.427, 139.336, 140.687, 142.545, 144.365, 145.679, 146.684, 148.419, 149.06, 150.307, 151.483, 152.471, 153.633, 154.894, 156.21, 158.367, 160.065, 161.023, 162.539, 163.865, 165.309, 166.607, 168.458, 170.809, 171.905, 174.209, 175.132, 177.578, 179.102, 181.523, 183.488, 184.996, 186.846, 187.709, 190.287, 190.853, 192.607, 193.275, 195.428, 196.593, 198.907, 200.909, 202.834, 204.008, 205.13, 207.211, 209.798, 211.695, 212.936, 215.358, 217.659, 219.428, 221.818, 224.391, 227.251, 230.041, 231.433, 233.487, 236.359, 239.501, 241.028, 243.244, 244.578, 245.79, 248.019, 250.411, 254.796, 258.478, 261.642, 263.986, 266.557, 268.179, 271.418, 274.389, 277.355, 280.079, 281.806, 284.189, 286.296, 288.896, 291.504, 295.415, 297.289, 300.968, 302.676, 304.23, 308.22, 310.164, 313.672, 317.172, 319.61, 323.45, 326.13, 329.867, 333.455, 337.358, 340.345, 343.831, 348.531, 351.498, 354.631, 358.213, 360.909, 361.747, 365.226, 368.958, 372.062, 377.44, 381.263, 384.75, 386.511, 389.121, 393.637, 398.6, 401.82, 405.686, 410.191, 413.834, 416.277, 420.342, 424.296, 428.73, 431.874, 437.113, 442.412, 447.581, 451.588, 452.859, 456.413, 461.623, 465.336, 471.68, 475.958, 480.095, 483.832, 488.918, 494.036, 499.825, 506.38, 510.702, 517.073, 520.418, 523.693, 527.435, 532.825, 536.058, 540.499, 545.521, 548.834, 552.802, 557.574, 563.389, 570.917, 574.395, 580.178, 587.603, 595.762, 602.95, 612.861, 618.024, 626.279, 632.968, 640.072, 648.326, 652.76, 659.412, 663.212, 669.669, 673.433, 678.725, 681.009, 685.193, 690.269, 697.536, 706.291, 710.347, 721.194, 730.242, 736.398, 743.942, 752.421, 761.308, 768.932, 775.604, 780.965, 792.403, 799.823, 804.461, 813.083, 820.687, 828.832, 834.291, 842.707, 850.069, 861.088, 869.743, 877.872, 887.836, 894.641, 905.753, 915.542, 926.118, 930.659, 936.992, 944.653, 952.624, 958.714, 966.122, 974.351, 984.248, 990.321, 998.122, 1006.53, 1015.3, 1022.5, 1029.13, 1038.04, 1052, 1064.8, 1076.78, 1091.2, 1101.06, 1118.71, 1134.44, 1147.08, 1154.69, 1168.64, 1179.09, 1188.83, 1198.41, 1207.13, 1222.57, 1231.48, 1233.91, 1241.78, 1257.21, 1269.53, 1281.76, 1295.33, 1309.51, 1320.48, 1331.91, 1341.25, 1354.67, 1370.05, 1381.26, 1388.37, 1405.82, 1419.56, 1435.19, 1443.21, 1457.05, 1467.15, 1470, 1485.44, 1503.17, 1524.63, 1528.72, 1538.88, 1550.74, 1565.46, 1587.37, 1608.59, 1633, 1655.93, 1664.65, 1683.6, 1704.7, 1725.73, 1740.92, 1763.51, 1770.92, 1781.7, 1801, 1812.67, 1829.6, 1840.12, 1855.05, 1869.13, 1889.77, 1911.61, 1924.5, 1940.1, 1958.16, 1981.16, 1994.16, 2014.11, 2040.82, 2063.41, 2086.44, 2089.79, 2113.3, 2128.53, 2149.76, 2171.07, 2194, 2212.22, 2233.83, 2256.91, 2287.19, 2318.29, 2335.94, 2365.18, 2391.58, 2414.03, 2450.87, 2480.13, 2510.9, 2534.39, 2541.54, 2569.01, 2593.42, 2610.46, 2627.75, 2637.32, 2653.44, 2674.62, 2691.17, 2711.31, 2736.46, 2759.28, 2788.12, 2814.32, 2853.87, 2894.13, 2903.16, 2936.36, 2967.94, 3013.9, 3053.94, 3084.16, 3120.3, 3156.34, 3179.13, 3204.64, 3240.41, 3282.2, 3318.69, 3334.2, 3369.72, 3393.28, 3412.71, 3446.98, 3484.03, 3519.4, 3546.21, 3588.13, 3610.17, 3638.82, 3662.91, 3718.15, 3757.59, 3791.72, 3815.13, 3863.26, 3914.09, 3938.38, 3985.05, 4028.9, 4090.37, 4110.77, 4143.11, 4186.01, 4225.9, 4250.45, 4271.25, 4298.98, 4355.18, 4391.84, 4413.99, 4451.28, 4492.77, 4542.85, 4581.32, 4646.13, 4709.24, 4756.71, 4805.42, 4870.1, 4913.88, 4984.39, 5029.86, 5065.8, 5103.89, 5122.63, 5160.59, 5198.48, 5218.76, 5264.11, 5349.86, 5397.9, 5437.59, 5514.39, 5584.91, 5651.95, 5709.59, 5781.01, 5837.11, 5888.14, 5927.79, 5988.68, 6054.63, 6112.67, 6142.55, 6195.85, 6254.58, 6291.96, 6374.28, 6446.8, 6517.21, 6554.48, 6585.16, 6662.42, 6705.6, 6786.28, 6820.18, 6884.23, 6945.78, 6995.47, 7049.73, 7094.77, 7226.54, 7274.91, 7390.96, 7444.83, 7526.25, 7585.37, 7653.94, 7700.71, 7798.24, 7895.35, 7985.7, 8059.09, 8126.35, 8208.35, 8264.64, 8338.25, 8458.25, 8579.23, 8678.38, 8757.89, 8823.12, 8921.35, 8999.7, 9080.14, 9202.19, 9326.16, 9389.68, 9473.56, 9541.87, 9652.48, 9783.48, 9890.92, 9995, 10091, 10150.3, 10189.4, 10268.8, 10390.4, 10491.9, 10598.6, 10637.3, 10693.8, 10809.4, 10900.3, 11052, 11177, 11274.2, 11334.2, 11443.9, 11548.6, 11657.5, 11752.7, 11859.6, 11942.3, 12022.4, 12166.3, 12320.7, 12509.3, 12648.8, 12753.9, 12886, 13012.5, 13119.1, 13246.7, 13385.4, 13457.6, 13591.8, 13705.4, 13811.4, 13963.2, 14154.6, 14288.7, 14397.6, 14571.5, 14735.5, 14815.2, 14980, 15125.7, 15343.7, 15424.5, 15526.2, 15599.3, 15772.4, 15913.7, 16064.2, 16230.4, 16363.3, 16469.5, 16602.2, 16812.6, 16988, 17250.7, 17449.7, 17602, 17792.6, 18042.6, 18174.1, 18365.8, 18601.4, 18804.3, 18987.6, 19094.4, 19323.9, 19519.4, 19659.8, 19789, 19911.3, 19984.3, 20099.3, 20290.4, 20538.4, 20779.4, 20949.2, 21178.2, 21345.3, 21671.9, 21962.7, 22153.3, 22442.3, 22585.5, 22761.8, 22943.6, 23168.2, 23245.1, 23568.7, 23533.7, 23764.7, 24000.1, 24157.6, 24396.9, 24799.1, 25088.8, 25306, 25730.5, 25862.4, 26237.3, 26541.6, 26850.2, 27187.5, 27381.1, 27403.8, 27588, 27850.8, 27922.5, 28235.2, 28476.9, 28608.9, 28910.5, 29008.7, 29333.8, 29766.4, 30252.2, 30528.1, 30868.3, 31014.9, 31264.3, 31594.8, 31890.6, 32456.3, 32827.6, 33108.4, 33286.2, 33547.3, 33866.1, 34449, 34774.9, 35103.5, 35465.1, 35720.1, 36121.5, 36549.4, 37007.8, 37451.6, 37800.8, 38030.7, 38328.9, 38702, 39024.5, 39276.8, 39678.8, 40106.2, 40378.4, 40718.5, 41212.4, 41592.6, 42053.6, 42356.1, 42715.4, 43109.2, 43294.5, 43656, 44154.4, 44518.2, 44845.5, 45208.1, 45644.7, 46235.1, 46576.3, 47035, 47453.3, 47835.4, 48428.2, 48926.4, 49412, 49879.5, 50261.3, 50675.2, 51166.1, 51476.2, 52292.4, 52835.3, 53309.9, 53913.7, 54382.2, 54820.4, 55413.2, 55786.9, 56327.6, 56899.1, 57222.8, 57850, 58425.8, 58899.5, 59330.5, 60029.4, 60861.4, 61612.4, 61943.2, 62721.4] \n",
    "vvar6= [0.989451, 0.982036, 0.954748, 0.952383, 0.978467, 1.01412, 1.01875, 0.999367, 1.01522, 1.0165, 1.00657, 1.02691, 1.0948, 1.12488, 1.15355, 1.14176, 1.17617, 1.19777, 1.20996, 1.24611, 1.27227, 1.25591, 1.31119, 1.34212, 1.41644, 1.44752, 1.50274, 1.52537, 1.53017, 1.48903, 1.43839, 1.56214, 1.62065, 1.6358, 1.65882, 1.69586, 1.74104, 1.69734, 1.69974, 1.74287, 1.8058, 1.86177, 1.97114, 1.99478, 2.12141, 2.11991, 2.14429, 2.18037, 2.27065, 2.28751, 2.18873, 2.25763, 2.34809, 2.38617, 2.43884, 2.48281, 2.52268, 2.54758, 2.45567, 2.49929, 2.5035, 2.66957, 2.79556, 2.81771, 2.9851, 3.01775, 2.97665, 3.00827, 3.06542, 3.17228, 3.24133, 3.16259, 3.24626, 3.44738, 3.50079, 3.68178, 3.75386, 3.76483, 3.78019, 3.72955, 3.71237, 3.67052, 3.92697, 4.06605, 4.25098, 4.37424, 4.4195, 4.58657, 4.70706, 4.81216, 4.77638, 4.72024, 4.97852, 5.02481, 5.0355, 5.28749, 5.32061, 5.43159, 5.3565, 5.43995, 5.58829, 5.54717, 5.90101, 6.33753, 6.65595, 6.97408, 7.0991, 7.01167, 7.00303, 6.79961, 6.63788, 6.81873, 7.01324, 7.14758, 7.50934, 7.54245, 7.5688, 7.78055, 8.00777, 7.9147, 8.23022, 8.26858, 8.42125, 8.55022, 8.60271, 8.92299, 9.48753, 9.65893, 9.60244, 10.2075, 10.3491, 10.1848, 10.2178, 10.6281, 10.8038, 10.8815, 10.7168, 10.6037, 11.0799, 11.0111, 10.9101, 11.2257, 11.546, 11.6527, 12.1556, 12.5366, 12.9114, 13.7792, 13.9268, 14.1286, 14.6934, 14.6934, 15.0031, 15.6672, 16.307, 16.1876, 16.7144, 16.3452, 17.1001, 18.3166, 17.8634, 17.7601, 18.0674, 18.2674, 19.3288, 20.1781, 20.6597, 21.2336, 21.1043, 21.0784, 21.5168, 21.1774, 21.8702, 22.7193, 23.7409, 24.2408, 24.5804, 24.4455, 25.1193, 25.4488, 25.2719, 25.009, 24.5268, 25.5667, 26.4514, 26.9644, 27.8578, 28.8732, 28.9837, 29.8786, 29.4791, 30.2076, 31.1491, 32.6391, 33.5821, 33.6383, 35.498, 35.236, 36.2257, 36.3624, 37.2288, 36.0598, 37.2744, 37.5489, 39.3107, 40.3483, 40.3796, 43.7789, 43.5458, 44.1444, 45.1399, 45.5883, 44.2023, 44.9817, 47.5119, 48.5409, 49.9039, 49.9616, 51.5751, 52.2251, 51.1756, 51.1006, 52.6164, 56.1054, 59.4775, 61.3019, 62.2398, 62.8867, 62.0204, 64.9782, 68.4021, 67.4457, 65.9623, 68.6223, 71.4841, 73.6227, 77.4752, 80.5617, 84.1308, 83.9814, 83.7163, 87.9111, 86.6471, 89.7844, 90.6452, 92.9587, 94.3346, 93.5328, 93.8788, 95.4828, 95.7639, 95.5327, 95.7564, 97.5034, 102.605, 103.034, 101.734, 107.298, 109.869, 111.106, 113.267, 116.177, 118.217, 121.146, 126.682, 130.377, 135.134, 136.964, 139.392, 139.258, 142.95, 142.237, 139.443, 138.863, 139.809, 151.303, 156.765, 161.109, 161.045, 163.926, 164.098, 162.1, 165.67, 170.211, 179.144, 182.685, 194.383, 199.097, 199.494, 208.218, 204.878, 203.694, 205.185, 205.217, 220.59, 226.663, 237.576, 244.208, 249.017, 249.102, 260.23, 262.623, 259.254, 261.181, 271.622, 282.17, 279.541, 286.165, 291.785, 285.863, 288.304, 294.535, 281.548, 278.275, 302.091, 318.288, 333.529, 343.195, 351.399, 373.979, 380.12, 395.791, 403.787, 409.499, 422.956, 428.672, 433.035, 434.561, 461.206, 464.429, 463.461, 458.072, 466.288, 479.243, 495.324, 508.686, 523.849, 546.819, 536.195, 542.128, 541.636, 542.481, 540.309, 542.752, 553.785, 573.747, 603.268, 623.346, 632.431, 649.757, 666.877, 665.692, 661.334, 631.711, 650.026, 679.814, 711.672, 741.18, 752.465, 774.544, 773.209, 783.219, 816.707, 842.427, 826.315, 862.923, 863.231, 879.344, 930.425, 908.098, 923.965, 923.372, 904.876, 889.074, 918.159, 962.109, 1039.59, 1046.61, 1079.25, 1138.01, 1134.92, 1184.56, 1195.3, 1206.96, 1246.92, 1261.79, 1312.93, 1321.13, 1369.48, 1392.92, 1471.52, 1465.16, 1475.4, 1448.11, 1431.05, 1496.72, 1570.35, 1617.63, 1658.88, 1603.25, 1684.43, 1684.62, 1710, 1731.78, 1706.96, 1769.81, 1882.32, 1925.33, 1949.82, 1997.07, 2005.45, 2037.74, 2061.81, 2133.55, 2167.39, 2242.23, 2270.16, 2277.29, 2287.38, 2266.08, 2288.84, 2340.07, 2404.85, 2346.81, 2332.31, 2484.91, 2613.78, 2805.7, 2918.06, 3005.21, 3067.67, 3073.98, 3061.83, 3129.01, 3144, 3078.43, 3248.14, 3235.46, 3312.27, 3443.44, 3462.24, 3561.88, 3572.58, 3652.97, 3491.75, 3668.22, 3788.99, 4103.05, 4130.44, 4134.92, 4238.93, 4244.42, 4288.29, 4367.16, 4536.88, 4589.78, 4731.32, 4892.9, 5132.96, 5343.89, 5445.25, 5454, 5456.47, 5372.19, 5389.22, 5362.16, 5430.38, 5661.89, 5842.3, 6061.74, 6262.07, 6392.22, 6494.76, 6633.21, 6460.52, 6374.48, 6894.71, 6969.58, 7185.09, 7605.21, 7711.35, 7761.59, 7854.24, 7953.11, 7941.88, 7998.66, 8341.44, 8429.1, 8559.34, 8567.48, 8824.68, 9026.77, 8966.08, 8817.49, 8852.47, 8794.51, 9439.89, 9878.03, 10193.1, 10331.3, 10724.7, 10565.2, 10781, 10765.5, 10990.3, 11190.3, 11903.9, 12539, 12734.5, 13174.1, 13518.1, 13721.2, 13996.8, 14422.1, 14422.8, 14346.6, 14765.3, 15719.2, 16535.6, 16722, 17044.4, 17276.8, 17042.4, 17137.5, 16961.2, 16844.2, 17234.7, 17019.3, 17270.7, 18095.5, 18087.8, 18366.9, 18315.8, 19297.2, 19384.7, 19432.6, 20166.4, 21698.3, 21921.2, 21969.5, 22668.8, 22779.1, 23282.4, 22599.5, 22640.3, 22663.4, 22416.4, 24115.2, 25608.9, 26255.8, 26915.5, 27045.3, 27849.8, 28430.7, 28255.6, 28659.7, 30563, 32744.1, 33682.2, 34177.6, 35357.4, 36745.6, 36277.6, 37829.3, 38623.9, 38798.8, 38448.6, 37934.2, 40440.9, 40903, 42103.7, 41877, 43143.3, 43404, 42901.3, 42273.1, 42900.7, 44790.5, 47079.9, 48209.2, 49982.1, 51738.4, 50633.1, 51462.3, 52546.6, 51782.1, 52169.4, 54692.3, 58366.5, 58915.6, 60832.6, 63018.1, 64259.7, 64040.6, 62880.2, 64369.6, 63415.1, 66491.5, 69084.9, 71087.2, 72569.5, 73405.8, 74605.9, 75224.3, 77922.3, 75540.3, 76163.2, 77959.1, 81250.9, 87020.4, 91303.3, 93226.6, 96020.6, 97593.8, 98595.6, 100761, 99837.6, 103487, 106473, 105927, 107452, 109734, 114084, 117063, 112610, 111364, 112112, 118797, 118211, 120467, 121848, 119300, 121437, 127763, 128292, 132060, 132537, 135782, 141555, 146181, 153641, 158557, 158250, 162288, 161463, 163056, 161517, 155507, 166031, 171589, 177055, 180017, 180557, 183742, 186622, 187866, 191200, 197962, 209535, 221284, 233644, 241507, 243392, 239043, 240847, 240293, 240945, 246090, 255395, 258256, 264106, 261286, 262069, 265044, 269940, 279068, 277337, 272765, 287303, 300407, 312745, 325672, 339150, 354362, 357943, 357354, 367151, 367942, 386739, 399611, 417803, 425775, 443305, 450435, 451280, 449481, 447329, 453739, 473553, 474523, 481784, 490322, 495558, 489799, 499241, 505035, 504042, 501236, 516604, 540076, 554616, 576587, 579921, 575740, 598472, 603292, 624412, 640223, 668832, 705445, 723931, 754625, 751389, 757470, 763111, 754029, 769422, 764967, 830281, 841847, 862410, 873584, 909587, 929523, 928555, 968723, 949431, 942284, 944563, 983710, 990162, 1.00907e+06, 1.02256e+06, 1.01915e+06, 1.05506e+06, 1.04034e+06, 1.04863e+06, 1.0561e+06, 1.07498e+06, 1.10249e+06, 1.19851e+06, 1.27709e+06, 1.27972e+06, 1.34361e+06, 1.41086e+06, 1.35392e+06, 1.34686e+06, 1.36365e+06, 1.39205e+06, 1.46859e+06, 1.52676e+06, 1.56031e+06, 1.57886e+06, 1.56846e+06, 1.52066e+06, 1.57743e+06, 1.58782e+06, 1.56359e+06, 1.60168e+06, 1.67663e+06, 1.71449e+06, 1.75503e+06, 1.77744e+06, 1.80792e+06, 1.84135e+06, 1.8981e+06, 1.9097e+06, 1.92911e+06, 1.90529e+06, 2.01243e+06, 2.09542e+06, 2.10682e+06, 2.18273e+06, 2.31332e+06, 2.42141e+06, 2.46979e+06, 2.47089e+06, 2.4792e+06, 2.47947e+06, 2.47761e+06, 2.56689e+06, 2.69315e+06, 2.79573e+06, 2.71838e+06, 2.68669e+06, 2.68258e+06, 2.77335e+06, 2.70519e+06, 2.8318e+06, 2.9675e+06, 3.13046e+06, 3.13587e+06, 3.22999e+06, 3.38968e+06, 3.38897e+06, 3.4194e+06, 3.34453e+06, 3.3623e+06, 3.31364e+06, 3.60396e+06, 3.60095e+06, 3.92733e+06, 4.05167e+06, 4.11546e+06, 4.26625e+06, 4.28169e+06, 4.24e+06, 4.30093e+06, 4.19443e+06, 4.30962e+06, 4.41245e+06, 4.5592e+06, 4.63664e+06, 4.67672e+06, 4.67223e+06, 4.82798e+06, 4.83996e+06, 4.83318e+06, 4.80856e+06, 5.02513e+06, 5.13702e+06, 5.25513e+06, 5.3245e+06, 5.51267e+06, 5.65223e+06, 5.77947e+06, 5.84843e+06, 5.85536e+06, 5.79823e+06, 6.13761e+06, 6.59931e+06, 6.76256e+06, 7.02582e+06, 7.10132e+06, 7.2434e+06, 7.31708e+06, 7.5008e+06, 7.75173e+06, 7.58537e+06, 7.80955e+06, 7.93707e+06, 8.43985e+06, 8.8683e+06, 8.89263e+06, 9.07826e+06, 9.14975e+06, 9.42428e+06, 9.46723e+06, 9.48011e+06, 9.46365e+06, 1.02892e+07, 1.02877e+07, 1.01368e+07, 1.03626e+07, 1.03699e+07, 1.09743e+07, 1.07184e+07, 1.06354e+07, 1.0755e+07, 1.10556e+07, 1.12782e+07, 1.1863e+07, 1.23535e+07, 1.27989e+07, 1.32066e+07, 1.33081e+07, 1.37724e+07, 1.41227e+07, 1.44816e+07, 1.44578e+07, 1.50793e+07, 1.57599e+07, 1.61882e+07, 1.60981e+07, 1.62686e+07, 1.62768e+07, 1.59381e+07, 1.61471e+07, 1.53692e+07, 1.5538e+07, 1.62794e+07, 1.68109e+07, 1.75504e+07, 1.8195e+07, 1.87172e+07, 1.92986e+07, 1.98463e+07, 2.09548e+07, 2.06765e+07, 2.008e+07, 2.06474e+07, 2.07156e+07, 2.12534e+07, 2.10282e+07, 2.07887e+07, 2.09621e+07, 2.09605e+07, 2.07715e+07, 2.10018e+07, 2.18696e+07, 2.19992e+07, 2.36785e+07, 2.50866e+07, 2.67249e+07, 2.79281e+07, 2.78208e+07, 2.77685e+07, 2.75939e+07, 2.70616e+07, 2.62563e+07, 2.80413e+07, 2.91656e+07, 2.91695e+07, 2.99503e+07, 3.04266e+07, 3.13808e+07, 3.24325e+07, 3.32307e+07, 3.3919e+07, 3.41306e+07, 3.47379e+07, 3.60286e+07, 3.82411e+07, 4.0159e+07, 4.2131e+07, 4.22324e+07, 4.16651e+07, 4.06669e+07, 4.14177e+07, 4.22851e+07, 4.2406e+07, 4.33902e+07, 4.47255e+07, 4.62747e+07, 4.70073e+07, 4.75208e+07, 4.99483e+07, 5.13382e+07, 4.96911e+07, 5.12361e+07, 5.27715e+07, 5.47153e+07, 5.61229e+07, 5.70097e+07, 5.71638e+07, 5.76157e+07, 5.8564e+07, 5.84692e+07, 5.9305e+07, 5.88022e+07, 6.09133e+07, 6.50083e+07, 6.82538e+07, 7.12493e+07, 7.54181e+07, 7.73094e+07, 7.70221e+07, 7.84968e+07, 7.90709e+07, 7.71728e+07, 7.72306e+07, 7.92594e+07, 8.08008e+07, 7.99525e+07, 8.02295e+07, 8.25939e+07, 8.61516e+07, 8.5138e+07, 8.45416e+07, 8.90406e+07, 9.06195e+07, 9.18738e+07, 9.63559e+07, 1.03348e+08, 1.07149e+08, 1.09093e+08, 1.13075e+08, 1.18039e+08, 1.21135e+08, 1.18489e+08, 1.17037e+08, 1.2405e+08, 1.25735e+08, 1.2819e+08, 1.30532e+08, 1.36167e+08, 1.34462e+08, 1.3292e+08, 1.31127e+08, 1.32427e+08, 1.31431e+08, 1.37569e+08, 1.41119e+08, 1.48668e+08, 1.5065e+08, 1.53326e+08, 1.59283e+08, 1.62304e+08, 1.62556e+08, 1.63289e+08, 1.58429e+08] \n",
    "cur_mean6=[ (999,5.5), (1999,6.05), (2999,6.655), (3999,7.3205), (4999,8.05255), (5999,8.85781), (6999,9.74359), (7999,10.7179), (8999,11.7897), (9999,12.9687), (10999,14.2656), (11999,15.6921), (12999,17.2614), (13999,18.9875), (14999,20.8862), (15999,22.9749), (16999,25.2724), (17999,27.7996), (18999,30.5795), (19999,33.6375), (20999,37.0012), (21999,40.7014), (22999,44.7715), (23999,49.2487), (24999,54.1735), (25999,59.5909), (26999,65.55), (27999,72.105), (28999,79.3155), (29999,87.247), (30999,95.9717), (31999,105.569), (32999,116.126), (33999,127.738), (34999,140.512), (35999,154.563), (36999,170.02), (37999,187.022), (38999,205.724), (39999,226.296), (40999,248.926), (41999,273.818), (42999,301.2), (43999,331.32), (44999,364.452), (45999,400.898), (46999,440.987), (47999,485.086), (48999,533.595), (49999,586.954), (50999,645.65), (51999,710.215), (52999,781.236), (53999,859.36), (54999,945.296), (55999,1039.83), (56999,1143.81), (57999,1258.19), (58999,1384.01), (59999,1522.41), (60999,1674.65), (61999,1842.11), (62999,2026.33), (63999,2228.96), (64999,2451.85), (65999,2697.04), (66999,2966.74), (67999,3263.42), (68999,3589.76), (69999,3948.73), (70999,4343.61), (71999,4777.97), (72999,5255.77), (73999,5781.34), (74999,6359.48), (75999,6995.42), (76999,7694.97), (77999,8464.46), (78999,9310.91), (79999,10242), (80999,11266.2), (81999,12392.8), (82999,13632.1), (83999,14995.3), (84999,16494.8), (85999,18144.3), (86999,19958.8), (87999,21954.6), (88999,24150.1), (89999,26565.1), (90999,29221.6), (91999,32143.8), (92999,35358.2), (93999,38894), (94999,42783.4), (95999,47061.7), (96999,51767.9), (97999,56944.7), (98999,62639.1), (99999,68903.1), ]\n",
    "cur_variance6=[ (999,1.21), (1999,1.4641), (2999,1.77156), (3999,2.14359), (4999,2.59374), (5999,3.13843), (6999,3.7975), (7999,4.59497), (8999,5.55992), (9999,6.7275), (10999,8.14027), (11999,9.84973), (12999,11.9182), (13999,14.421), (14999,17.4494), (15999,21.1138), (16999,25.5477), (17999,30.9127), (18999,37.4043), (19999,45.2593), (20999,54.7637), (21999,66.2641), (22999,80.1795), (23999,97.0172), (24999,117.391), (25999,142.043), (26999,171.872), (27999,207.965), (28999,251.638), (29999,304.482), (30999,368.423), (31999,445.792), (32999,539.408), (33999,652.683), (34999,789.747), (35999,955.594), (36999,1156.27), (37999,1399.08), (38999,1692.89), (39999,2048.4), (40999,2478.56), (41999,2999.06), (42999,3628.87), (43999,4390.93), (44999,5313.02), (45999,6428.76), (46999,7778.8), (47999,9412.34), (48999,11388.9), (49999,13780.6), (50999,16674.5), (51999,20176.2), (52999,24413.2), (53999,29540), (54999,35743.4), (55999,43249.5), (56999,52331.9), (57999,63321.5), (58999,76619.1), (59999,92709.1), (60999,112178), (61999,135735), (62999,164240), (63999,198730), (64999,240463), (65999,290961), (66999,352063), (67999,425996), (68999,515455), (69999,623700), (70999,754677), (71999,913160), (72999,1.10492e+06), (73999,1.33696e+06), (74999,1.61772e+06), (75999,1.95744e+06), (76999,2.3685e+06), (77999,2.86589e+06), (78999,3.46772e+06), (79999,4.19594e+06), (80999,5.07709e+06), (81999,6.14328e+06), (82999,7.43337e+06), (83999,8.99438e+06), (84999,1.08832e+07), (85999,1.31687e+07), (86999,1.59341e+07), (87999,1.92802e+07), (88999,2.33291e+07), (89999,2.82282e+07), (90999,3.41561e+07), (91999,4.13289e+07), (92999,5.0008e+07), (93999,6.05097e+07), (94999,7.32167e+07), (95999,8.85922e+07), (96999,1.07197e+08), (97999,1.29708e+08), (98999,1.56947e+08), (99999,1.89905e+08), ]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b408c9a3-87d7-4c6f-96ef-3c95627c80ae",
   "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(x6[start:],pmean6[start:])\n",
    "plt.plot(x6[start:],vmean6[start:])\n",
    "plt.plot([a[0] for a in cur_mean6],[a[1] for a in cur_mean6])\n",
    "plt.title(\"mean\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b4d8ceef-bd49-486d-b78d-a687da3b8381",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "start=900\n",
    "plt.plot(x6[start:],pmean6[start:],'r')\n",
    "plt.plot(x6[start:],vmean6[start:],'b')\n",
    "plt.title(\"mean last part\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90992ea2-4c77-4fbc-b364-9b69fea0173b",
   "metadata": {},
   "source": [
    "# conclusion\n",
    "- Pedestal calculations are accurately close to calculating last n_samples (here 1000)\n",
    "- calculating the mean by calculating last n_samples drifts in case of increasing mean\n",
    "- pedestal will drift to lower values than calculating last n_samples. why so?"
   ]
  }
 ],
 "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": "3.12.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}