1
/* $Id: blast_seg.c,v 1.29 2004/10/14 17:40:29 madden Exp $
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* ===========================================================================
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* National Center for Biotechnology Information
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* This software/database is a "United States Government Work" under the
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* terms of the United States Copyright Act. It was written as part of
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* the author's official duties as a United States Government employee and
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* thus cannot be copyrighted. This software/database is freely available
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* to the public for use. The National Library of Medicine and the U.S.
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* Government have not placed any restriction on its use or reproduction.
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* Although all reasonable efforts have been taken to ensure the accuracy
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* and reliability of the software and data, the NLM and the U.S.
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* Government do not and cannot warrant the performance or results that
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* may be obtained by using this software or data. The NLM and the U.S.
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* Government disclaim all warranties, express or implied, including
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* warranties of performance, merchantability or fitness for any particular
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* Please cite the author in any work or product based on this material.
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* ===========================================================================
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* Author: Ilya Dondoshansky
31
* A utility to find low complexity AA regions. This parallels functionality
32
* of seg.c from the C toolkit, but without using the structures generated
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* @todo FIXME needs comments
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static char const rcsid[] =
38
"$Id: blast_seg.c,v 1.29 2004/10/14 17:40:29 madden Exp $";
40
#include <algo/blast/core/blast_seg.h>
41
#include <algo/blast/core/blast_filter.h>
43
/** Natural log of factorials: 0!, 1!, 2!, 3! */
46
0.000000, 0.000000, 0.693147, 1.791759, 3.178054, 4.787492, 6.579251, 8.525161,
47
10.604603, 12.801827, 15.104413, 17.502308, 19.987214, 22.552164, 25.191221, 27.899271,
48
30.671860, 33.505073, 36.395445, 39.339884, 42.335616, 45.380139, 48.471181, 51.606676,
49
54.784729, 58.003605, 61.261702, 64.557539, 67.889743, 71.257039, 74.658236, 78.092224,
50
81.557959, 85.054467, 88.580828, 92.136176, 95.719695, 99.330612, 102.968199, 106.631760,
51
110.320640, 114.034212, 117.771881, 121.533082, 125.317271, 129.123934, 132.952575, 136.802723,
52
140.673924, 144.565744, 148.477767, 152.409593, 156.360836, 160.331128, 164.320112, 168.327445,
53
172.352797, 176.395848, 180.456291, 184.533829, 188.628173, 192.739047, 196.866182, 201.009316,
54
205.168199, 209.342587, 213.532241, 217.736934, 221.956442, 226.190548, 230.439044, 234.701723,
55
238.978390, 243.268849, 247.572914, 251.890402, 256.221136, 260.564941, 264.921650, 269.291098,
56
273.673124, 278.067573, 282.474293, 286.893133, 291.323950, 295.766601, 300.220949, 304.686857,
57
309.164194, 313.652830, 318.152640, 322.663499, 327.185288, 331.717887, 336.261182, 340.815059,
58
345.379407, 349.954118, 354.539086, 359.134205, 363.739376, 368.354496, 372.979469, 377.614198,
59
382.258589, 386.912549, 391.575988, 396.248817, 400.930948, 405.622296, 410.322777, 415.032307,
60
419.750806, 424.478193, 429.214392, 433.959324, 438.712914, 443.475088, 448.245773, 453.024896,
61
457.812388, 462.608179, 467.412200, 472.224384, 477.044665, 481.872979, 486.709261, 491.553448,
62
496.405478, 501.265291, 506.132825, 511.008023, 515.890825, 520.781174, 525.679014, 530.584288,
63
535.496943, 540.416924, 545.344178, 550.278652, 555.220294, 560.169054, 565.124881, 570.087726,
64
575.057539, 580.034273, 585.017879, 590.008312, 595.005524, 600.009471, 605.020106, 610.037386,
65
615.061266, 620.091704, 625.128657, 630.172082, 635.221938, 640.278184, 645.340779, 650.409683,
66
655.484857, 660.566261, 665.653857, 670.747608, 675.847474, 680.953420, 686.065407, 691.183401,
67
696.307365, 701.437264, 706.573062, 711.714726, 716.862220, 722.015512, 727.174567, 732.339353,
68
737.509837, 742.685987, 747.867770, 753.055156, 758.248113, 763.446610, 768.650617, 773.860103,
69
779.075039, 784.295395, 789.521141, 794.752250, 799.988692, 805.230439, 810.477463, 815.729736,
70
820.987232, 826.249922, 831.517780, 836.790780, 842.068894, 847.352098, 852.640365, 857.933670,
71
863.231987, 868.535292, 873.843560, 879.156766, 884.474886, 889.797896, 895.125772, 900.458491,
72
905.796029, 911.138363, 916.485471, 921.837329, 927.193915, 932.555207, 937.921183, 943.291821,
73
948.667100, 954.046997, 959.431492, 964.820564, 970.214191, 975.612354, 981.015031, 986.422203,
74
991.833849, 997.249950, 1002.670485, 1008.095435, 1013.524780, 1018.958502, 1024.396582, 1029.838999,
75
1035.285737, 1040.736775, 1046.192096, 1051.651682, 1057.115514, 1062.583574, 1068.055844, 1073.532308,
76
1079.012947, 1084.497744, 1089.986681, 1095.479743, 1100.976911, 1106.478169, 1111.983501, 1117.492889,
77
1123.006318, 1128.523771, 1134.045232, 1139.570685, 1145.100114, 1150.633503, 1156.170838, 1161.712101,
78
1167.257279, 1172.806355, 1178.359314, 1183.916142, 1189.476824, 1195.041344, 1200.609689, 1206.181843,
79
1211.757792, 1217.337522, 1222.921018, 1228.508267, 1234.099254, 1239.693965, 1245.292387, 1250.894506,
80
1256.500308, 1262.109780, 1267.722908, 1273.339679, 1278.960080, 1284.584097, 1290.211718, 1295.842930,
81
1301.477720, 1307.116075, 1312.757982, 1318.403428, 1324.052403, 1329.704892, 1335.360884, 1341.020366,
82
1346.683326, 1352.349753, 1358.019634, 1363.692957, 1369.369711, 1375.049884, 1380.733463, 1386.420439,
83
1392.110798, 1397.804530, 1403.501624, 1409.202067, 1414.905850, 1420.612960, 1426.323387, 1432.037120,
84
1437.754148, 1443.474460, 1449.198045, 1454.924892, 1460.654992, 1466.388333, 1472.124906, 1477.864699,
85
1483.607702, 1489.353905, 1495.103298, 1500.855871, 1506.611613, 1512.370515, 1518.132566, 1523.897757,
86
1529.666078, 1535.437519, 1541.212071, 1546.989723, 1552.770467, 1558.554292, 1564.341189, 1570.131149,
87
1575.924163, 1581.720221, 1587.519313, 1593.321432, 1599.126567, 1604.934709, 1610.745850, 1616.559981,
88
1622.377092, 1628.197175, 1634.020221, 1639.846221, 1645.675166, 1651.507049, 1657.341860, 1663.179590,
89
1669.020232, 1674.863776, 1680.710215, 1686.559540, 1692.411742, 1698.266814, 1704.124747, 1709.985533,
90
1715.849165, 1721.715633, 1727.584930, 1733.457047, 1739.331978, 1745.209714, 1751.090247, 1756.973569,
91
1762.859673, 1768.748551, 1774.640196, 1780.534598, 1786.431752, 1792.331650, 1798.234283, 1804.139645,
92
1810.047728, 1815.958524, 1821.872027, 1827.788229, 1833.707123, 1839.628702, 1845.552957, 1851.479884,
93
1857.409473, 1863.341718, 1869.276612, 1875.214148, 1881.154319, 1887.097119, 1893.042539, 1898.990574,
94
1904.941217, 1910.894460, 1916.850298, 1922.808722, 1928.769728, 1934.733307, 1940.699454, 1946.668161,
95
1952.639423, 1958.613233, 1964.589584, 1970.568470, 1976.549884, 1982.533820, 1988.520272, 1994.509233,
96
2000.500698, 2006.494659, 2012.491111, 2018.490048, 2024.491463, 2030.495350, 2036.501703, 2042.510516,
97
2048.521784, 2054.535499, 2060.551656, 2066.570249, 2072.591272, 2078.614720, 2084.640586, 2090.668864,
98
2096.699550, 2102.732636, 2108.768117, 2114.805988, 2120.846243, 2126.888876, 2132.933881, 2138.981253,
99
2145.030987, 2151.083076, 2157.137515, 2163.194299, 2169.253423, 2175.314879, 2181.378665, 2187.444773,
100
2193.513198, 2199.583936, 2205.656981, 2211.732327, 2217.809969, 2223.889902, 2229.972121, 2236.056620,
101
2242.143395, 2248.232440, 2254.323750, 2260.417320, 2266.513144, 2272.611219, 2278.711537, 2284.814096,
102
2290.918889, 2297.025912, 2303.135160, 2309.246627, 2315.360309, 2321.476201, 2327.594299, 2333.714596,
103
2339.837089, 2345.961772, 2352.088641, 2358.217692, 2364.348918, 2370.482316, 2376.617881, 2382.755608,
104
2388.895493, 2395.037530, 2401.181716, 2407.328045, 2413.476513, 2419.627116, 2425.779849, 2431.934707,
105
2438.091686, 2444.250781, 2450.411988, 2456.575303, 2462.740721, 2468.908238, 2475.077848, 2481.249549,
106
2487.423335, 2493.599202, 2499.777146, 2505.957163, 2512.139248, 2518.323397, 2524.509606, 2530.697870,
107
2536.888185, 2543.080548, 2549.274953, 2555.471397, 2561.669876, 2567.870385, 2574.072920, 2580.277478,
108
2586.484054, 2592.692644, 2598.903244, 2605.115850, 2611.330458, 2617.547065, 2623.765665, 2629.986255,
109
2636.208831, 2642.433390, 2648.659926, 2654.888437, 2661.118919, 2667.351367, 2673.585777, 2679.822147,
110
2686.060472, 2692.300747, 2698.542971, 2704.787138, 2711.033244, 2717.281287, 2723.531263, 2729.783166,
111
2736.036995, 2742.292745, 2748.550413, 2754.809994, 2761.071486, 2767.334884, 2773.600185, 2779.867386,
112
2786.136482, 2792.407471, 2798.680348, 2804.955110, 2811.231753, 2817.510275, 2823.790671, 2830.072937,
113
2836.357071, 2842.643070, 2848.930928, 2855.220644, 2861.512213, 2867.805632, 2874.100898, 2880.398007,
114
2886.696957, 2892.997742, 2899.300361, 2905.604810, 2911.911085, 2918.219184, 2924.529102, 2930.840837,
115
2937.154385, 2943.469743, 2949.786908, 2956.105876, 2962.426644, 2968.749209, 2975.073568, 2981.399718,
116
2987.727655, 2994.057376, 3000.388877, 3006.722157, 3013.057211, 3019.394037, 3025.732631, 3032.072990,
117
3038.415112, 3044.758992, 3051.104629, 3057.452018, 3063.801157, 3070.152043, 3076.504672, 3082.859042,
118
3089.215150, 3095.572992, 3101.932566, 3108.293868, 3114.656896, 3121.021647, 3127.388118, 3133.756305,
119
3140.126206, 3146.497818, 3152.871137, 3159.246162, 3165.622889, 3172.001315, 3178.381438, 3184.763254,
120
3191.146760, 3197.531955, 3203.918834, 3210.307396, 3216.697636, 3223.089553, 3229.483144, 3235.878406,
121
3242.275335, 3248.673930, 3255.074188, 3261.476105, 3267.879679, 3274.284908, 3280.691788, 3287.100316,
122
3293.510491, 3299.922310, 3306.335768, 3312.750865, 3319.167598, 3325.585963, 3332.005958, 3338.427580,
123
3344.850827, 3351.275696, 3357.702184, 3364.130290, 3370.560009, 3376.991340, 3383.424280, 3389.858827,
124
3396.294977, 3402.732729, 3409.172079, 3415.613026, 3422.055566, 3428.499697, 3434.945417, 3441.392723,
125
3447.841612, 3454.292083, 3460.744132, 3467.197757, 3473.652955, 3480.109725, 3486.568063, 3493.027968,
126
3499.489436, 3505.952465, 3512.417053, 3518.883198, 3525.350897, 3531.820147, 3538.290947, 3544.763293,
127
3551.237184, 3557.712616, 3564.189589, 3570.668098, 3577.148143, 3583.629720, 3590.112827, 3596.597463,
128
3603.083624, 3609.571308, 3616.060512, 3622.551236, 3629.043476, 3635.537230, 3642.032495, 3648.529270,
129
3655.027552, 3661.527339, 3668.028629, 3674.531419, 3681.035707, 3687.541491, 3694.048769, 3700.557538,
130
3707.067797, 3713.579542, 3720.092772, 3726.607485, 3733.123678, 3739.641349, 3746.160496, 3752.681117,
131
3759.203210, 3765.726773, 3772.251802, 3778.778297, 3785.306255, 3791.835674, 3798.366551, 3804.898886,
132
3811.432675, 3817.967916, 3824.504607, 3831.042747, 3837.582333, 3844.123363, 3850.665835, 3857.209747,
133
3863.755097, 3870.301882, 3876.850101, 3883.399752, 3889.950832, 3896.503340, 3903.057274, 3909.612630,
134
3916.169409, 3922.727607, 3929.287222, 3935.848253, 3942.410697, 3948.974552, 3955.539817, 3962.106490,
135
3968.674567, 3975.244049, 3981.814932, 3988.387214, 3994.960895, 4001.535970, 4008.112440, 4014.690301,
136
4021.269553, 4027.850192, 4034.432217, 4041.015626, 4047.600417, 4054.186589, 4060.774139, 4067.363066,
137
4073.953367, 4080.545040, 4087.138085, 4093.732498, 4100.328279, 4106.925425, 4113.523934, 4120.123804,
138
4126.725034, 4133.327622, 4139.931566, 4146.536864, 4153.143514, 4159.751515, 4166.360864, 4172.971560,
139
4179.583601, 4186.196985, 4192.811711, 4199.427776, 4206.045179, 4212.663918, 4219.283991, 4225.905397,
140
4232.528133, 4239.152198, 4245.777591, 4252.404308, 4259.032350, 4265.661713, 4272.292396, 4278.924398,
141
4285.557717, 4292.192350, 4298.828297, 4305.465555, 4312.104122, 4318.743998, 4325.385180, 4332.027667,
142
4338.671457, 4345.316548, 4351.962938, 4358.610627, 4365.259611, 4371.909890, 4378.561462, 4385.214325,
143
4391.868478, 4398.523918, 4405.180645, 4411.838656, 4418.497950, 4425.158525, 4431.820380, 4438.483512,
144
4445.147921, 4451.813605, 4458.480562, 4465.148790, 4471.818288, 4478.489054, 4485.161087, 4491.834385,
145
4498.508947, 4505.184770, 4511.861853, 4518.540196, 4525.219795, 4531.900649, 4538.582758, 4545.266119,
146
4551.950731, 4558.636592, 4565.323700, 4572.012055, 4578.701654, 4585.392497, 4592.084580, 4598.777904,
147
4605.472466, 4612.168265, 4618.865299, 4625.563567, 4632.263068, 4638.963799, 4645.665759, 4652.368947,
148
4659.073361, 4665.779001, 4672.485863, 4679.193947, 4685.903251, 4692.613774, 4699.325515, 4706.038471,
149
4712.752642, 4719.468025, 4726.184620, 4732.902424, 4739.621438, 4746.341658, 4753.063083, 4759.785713,
150
4766.509546, 4773.234579, 4779.960813, 4786.688244, 4793.416873, 4800.146697, 4806.877715, 4813.609926,
151
4820.343328, 4827.077919, 4833.813700, 4840.550666, 4847.288819, 4854.028156, 4860.768675, 4867.510376,
152
4874.253256, 4880.997315, 4887.742552, 4894.488964, 4901.236550, 4907.985310, 4914.735241, 4921.486343,
153
4928.238613, 4934.992051, 4941.746655, 4948.502424, 4955.259356, 4962.017451, 4968.776706, 4975.537121,
154
4982.298694, 4989.061423, 4995.825308, 5002.590347, 5009.356539, 5016.123882, 5022.892375, 5029.662017,
155
5036.432806, 5043.204742, 5049.977822, 5056.752046, 5063.527412, 5070.303919, 5077.081566, 5083.860351,
156
5090.640273, 5097.421330, 5104.203522, 5110.986848, 5117.771305, 5124.556892, 5131.343609, 5138.131454,
157
5144.920426, 5151.710523, 5158.501745, 5165.294089, 5172.087555, 5178.882142, 5185.677848, 5192.474671,
158
5199.272612, 5206.071668, 5212.871838, 5219.673121, 5226.475515, 5233.279021, 5240.083635, 5246.889358,
159
5253.696187, 5260.504122, 5267.313161, 5274.123304, 5280.934548, 5287.746893, 5294.560338, 5301.374881,
160
5308.190521, 5315.007257, 5321.825087, 5328.644011, 5335.464028, 5342.285135, 5349.107333, 5355.930619,
161
5362.754992, 5369.580452, 5376.406998, 5383.234627, 5390.063339, 5396.893133, 5403.724007, 5410.555960,
162
5417.388992, 5424.223101, 5431.058286, 5437.894545, 5444.731878, 5451.570283, 5458.409759, 5465.250306,
163
5472.091921, 5478.934605, 5485.778355, 5492.623170, 5499.469050, 5506.315993, 5513.163998, 5520.013065,
164
5526.863191, 5533.714376, 5540.566618, 5547.419917, 5554.274272, 5561.129681, 5567.986143, 5574.843657,
165
5581.702222, 5588.561837, 5595.422500, 5602.284212, 5609.146970, 5616.010773, 5622.875621, 5629.741512,
166
5636.608445, 5643.476419, 5650.345434, 5657.215487, 5664.086579, 5670.958707, 5677.831871, 5684.706069,
167
5691.581301, 5698.457566, 5705.334862, 5712.213188, 5719.092544, 5725.972928, 5732.854339, 5739.736777,
168
5746.620240, 5753.504726, 5760.390236, 5767.276768, 5774.164320, 5781.052893, 5787.942484, 5794.833093,
169
5801.724719, 5808.617361, 5815.511017, 5822.405687, 5829.301370, 5836.198064, 5843.095769, 5849.994483,
170
5856.894207, 5863.794937, 5870.696674, 5877.599417, 5884.503164, 5891.407915, 5898.313668, 5905.220423,
171
5912.128178, 5919.036933, 5925.946687, 5932.857437, 5939.769185, 5946.681927, 5953.595665, 5960.510396,
172
5967.426119, 5974.342834, 5981.260540, 5988.179235, 5995.098919, 6002.019590, 6008.941249, 6015.863892,
173
6022.787521, 6029.712133, 6036.637729, 6043.564306, 6050.491864, 6057.420401, 6064.349918, 6071.280413,
174
6078.211885, 6085.144333, 6092.077756, 6099.012153, 6105.947523, 6112.883866, 6119.821180, 6126.759465,
175
6133.698719, 6140.638941, 6147.580131, 6154.522288, 6161.465410, 6168.409497, 6175.354548, 6182.300562,
176
6189.247538, 6196.195476, 6203.144373, 6210.094229, 6217.045044, 6223.996816, 6230.949545, 6237.903229,
177
6244.857868, 6251.813460, 6258.770006, 6265.727503, 6272.685952, 6279.645350, 6286.605698, 6293.566994,
178
6300.529237, 6307.492427, 6314.456563, 6321.421643, 6328.387668, 6335.354635, 6342.322544, 6349.291394,
179
6356.261185, 6363.231915, 6370.203584, 6377.176190, 6384.149733, 6391.124212, 6398.099626, 6405.075974,
180
6412.053255, 6419.031469, 6426.010614, 6432.990690, 6439.971696, 6446.953631, 6453.936493, 6460.920283,
181
6467.905000, 6474.890641, 6481.877208, 6488.864698, 6495.853111, 6502.842447, 6509.832703, 6516.823880,
182
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183
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184
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185
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186
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187
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188
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189
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190
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191
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192
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193
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196
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199
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207
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208
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209
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210
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211
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212
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213
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214
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215
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216
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217
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218
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219
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220
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221
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222
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223
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224
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225
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226
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227
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228
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229
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230
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231
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232
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234
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235
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236
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237
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238
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239
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240
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241
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242
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243
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244
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245
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246
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247
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248
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250
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253
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255
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256
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258
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262
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263
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264
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268
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270
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271
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272
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273
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274
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275
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276
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278
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280
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281
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283
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284
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285
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286
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288
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289
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290
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291
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292
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293
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294
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295
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296
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297
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298
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299
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300
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301
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307
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308
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310
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311
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312
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313
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314
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315
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316
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317
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318
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319
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320
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321
14736.434889, 14744.131556, 14751.828678, 14759.526253, 14767.224282, 14774.922765, 14782.621701, 14790.321091,
322
14798.020933, 14805.721228, 14813.421976, 14821.123176, 14828.824829, 14836.526933, 14844.229489, 14851.932497,
323
14859.635956, 14867.339866, 14875.044227, 14882.749039, 14890.454302, 14898.160014, 14905.866177, 14913.572790,
324
14921.279853, 14928.987365, 14936.695327, 14944.403737, 14952.112597, 14959.821905, 14967.531662, 14975.241867,
325
14982.952521, 14990.663622, 14998.375171, 15006.087167, 15013.799611, 15021.512502, 15029.225840, 15036.939625,
326
15044.653856, 15052.368533, 15060.083657, 15067.799226, 15075.515242, 15083.231702, 15090.948609, 15098.665960,
327
15106.383756, 15114.101997, 15121.820683, 15129.539812, 15137.259386, 15144.979404, 15152.699866, 15160.420771,
328
15168.142120, 15175.863912, 15183.586146, 15191.308824, 15199.031944, 15206.755506, 15214.479511, 15222.203958,
329
15229.928846, 15237.654176, 15245.379948, 15253.106160, 15260.832814, 15268.559908, 15276.287444, 15284.015419,
330
15291.743835, 15299.472691, 15307.201986, 15314.931722, 15322.661897, 15330.392511, 15338.123564, 15345.855056,
331
15353.586986, 15361.319356, 15369.052163, 15376.785409, 15384.519092, 15392.253214, 15399.987773, 15407.722769,
332
15415.458202, 15423.194072, 15430.930380, 15438.667123, 15446.404303, 15454.141920, 15461.879972, 15469.618460,
333
15477.357384, 15485.096743, 15492.836537, 15500.576767, 15508.317431, 15516.058530, 15523.800064, 15531.542032,
334
15539.284434, 15547.027270, 15554.770540, 15562.514243, 15570.258380, 15578.002949, 15585.747952, 15593.493388,
335
15601.239256, 15608.985557, 15616.732290, 15624.479455, 15632.227051, 15639.975080, 15647.723540, 15655.472431,
336
15663.221754, 15670.971507, 15678.721691, 15686.472306, 15694.223351, 15701.974826, 15709.726732, 15717.479067,
337
15725.231832, 15732.985026, 15740.738650, 15748.492702, 15756.247184, 15764.002094, 15771.757433, 15779.513200,
338
15787.269395, 15795.026019, 15802.783070, 15810.540549, 15818.298455, 15826.056788, 15833.815549, 15841.574736,
339
15849.334350, 15857.094391, 15864.854858, 15872.615751, 15880.377070, 15888.138815, 15895.900986, 15903.663582,
340
15911.426603, 15919.190050, 15926.953921, 15934.718217, 15942.482938, 15950.248083, 15958.013652, 15965.779645,
341
15973.546062, 15981.312902, 15989.080166, 15996.847853, 16004.615964, 16012.384497, 16020.153453, 16027.922832,
342
16035.692633, 16043.462856, 16051.233501, 16059.004568, 16066.776057, 16074.547967, 16082.320299, 16090.093052,
343
16097.866225, 16105.639820, 16113.413835, 16121.188270, 16128.963126, 16136.738402, 16144.514098, 16152.290213,
344
16160.066748, 16167.843703, 16175.621076, 16183.398869, 16191.177080, 16198.955710, 16206.734759, 16214.514226,
345
16222.294111, 16230.074414, 16237.855135, 16245.636274, 16253.417830, 16261.199803, 16268.982193, 16276.765000,
346
16284.548224, 16292.331865, 16300.115922, 16307.900395, 16315.685285, 16323.470590, 16331.256311, 16339.042447,
347
16346.828999, 16354.615966, 16362.403348, 16370.191145, 16377.979356, 16385.767982, 16393.557023, 16401.346477,
348
16409.136346, 16416.926628, 16424.717324, 16432.508434, 16440.299957, 16448.091893, 16455.884242, 16463.677003,
349
16471.470178, 16479.263764, 16487.057764, 16494.852175, 16502.646998, 16510.442233, 16518.237879, 16526.033937,
350
16533.830407, 16541.627287, 16549.424578, 16557.222280, 16565.020393, 16572.818916, 16580.617849, 16588.417193,
351
16596.216946, 16604.017109, 16611.817682, 16619.618664, 16627.420055, 16635.221855, 16643.024065, 16650.826683,
352
16658.629710, 16666.433145, 16674.236988, 16682.041239, 16689.845899, 16697.650966, 16705.456440, 16713.262322,
353
16721.068612, 16728.875308, 16736.682411, 16744.489921, 16752.297838, 16760.106161, 16767.914890, 16775.724026,
354
16783.533567, 16791.343514, 16799.153867, 16806.964625, 16814.775788, 16822.587357, 16830.399330, 16838.211708,
355
16846.024491, 16853.837678, 16861.651270, 16869.465266, 16877.279665, 16885.094469, 16892.909676, 16900.725286,
356
16908.541300, 16916.357717, 16924.174537, 16931.991760, 16939.809385, 16947.627413, 16955.445844, 16963.264676,
357
16971.083910, 16978.903547, 16986.723585, 16994.544024, 17002.364865, 17010.186107, 17018.007750, 17025.829794,
358
17033.652239, 17041.475084, 17049.298330, 17057.121976, 17064.946022, 17072.770468, 17080.595314, 17088.420559,
359
17096.246204, 17104.072248, 17111.898691, 17119.725533, 17127.552774, 17135.380413, 17143.208451, 17151.036888,
360
17158.865722, 17166.694955, 17174.524585, 17182.354613, 17190.185039, 17198.015862, 17205.847082, 17213.678699,
361
17221.510714, 17229.343124, 17237.175932, 17245.009136, 17252.842736, 17260.676733, 17268.511125, 17276.345913,
362
17284.181097, 17292.016676, 17299.852651, 17307.689020, 17315.525785, 17323.362945, 17331.200499, 17339.038448,
363
17346.876791, 17354.715529, 17362.554661, 17370.394186, 17378.234105, 17386.074418, 17393.915125, 17401.756225,
364
17409.597718, 17417.439604, 17425.281882, 17433.124554, 17440.967618, 17448.811074, 17456.654923, 17464.499164,
365
17472.343796, 17480.188821, 17488.034237, 17495.880044, 17503.726243, 17511.572833, 17519.419814, 17527.267186,
366
17535.114948, 17542.963101, 17550.811645, 17558.660579, 17566.509902, 17574.359616, 17582.209720, 17590.060213,
367
17597.911096, 17605.762368, 17613.614029, 17621.466079, 17629.318518, 17637.171346, 17645.024562, 17652.878167,
368
17660.732160, 17668.586541, 17676.441311, 17684.296468, 17692.152012, 17700.007944, 17707.864264, 17715.720971,
369
17723.578065, 17731.435545, 17739.293413, 17747.151667, 17755.010308, 17762.869335, 17770.728748, 17778.588547,
370
17786.448732, 17794.309303, 17802.170259, 17810.031601, 17817.893328, 17825.755440, 17833.617938, 17841.480820,
371
17849.344086, 17857.207738, 17865.071773, 17872.936193, 17880.800997, 17888.666185, 17896.531757, 17904.397712,
372
17912.264051, 17920.130774, 17927.997879, 17935.865368, 17943.733239, 17951.601493, 17959.470130, 17967.339150,
373
17975.208551, 17983.078335, 17990.948501, 17998.819049, 18006.689979, 18014.561290, 18022.432983, 18030.305056,
374
18038.177512, 18046.050348, 18053.923565, 18061.797163, 18069.671141, 18077.545500, 18085.420239, 18093.295358,
375
18101.170858, 18109.046737, 18116.922996, 18124.799634, 18132.676652, 18140.554049, 18148.431825, 18156.309981,
376
18164.188515, 18172.067428, 18179.946719, 18187.826389, 18195.706438, 18203.586864, 18211.467668, 18219.348850,
377
18227.230410, 18235.112348, 18242.994663, 18250.877355, 18258.760424, 18266.643871, 18274.527694, 18282.411894,
378
18290.296470, 18298.181423, 18306.066752, 18313.952458, 18321.838539, 18329.724997, 18337.611830, 18345.499038,
379
18353.386622, 18361.274582, 18369.162916, 18377.051626, 18384.940710, 18392.830169, 18400.720003, 18408.610211,
380
18416.500794, 18424.391750, 18432.283081, 18440.174786, 18448.066864, 18455.959316, 18463.852142, 18471.745341,
381
18479.638913, 18487.532858, 18495.427176, 18503.321867, 18511.216930, 18519.112366, 18527.008175, 18534.904355,
382
18542.800908, 18550.697833, 18558.595129, 18566.492797, 18574.390837, 18582.289248, 18590.188030, 18598.087184,
383
18605.986708, 18613.886604, 18621.786870, 18629.687506, 18637.588513, 18645.489891, 18653.391638, 18661.293756,
384
18669.196243, 18677.099100, 18685.002327, 18692.905923, 18700.809889, 18708.714224, 18716.618928, 18724.524001,
385
18732.429442, 18740.335253, 18748.241431, 18756.147979, 18764.054894, 18771.962178, 18779.869829, 18787.777849,
386
18795.686236, 18803.594991, 18811.504113, 18819.413602, 18827.323459, 18835.233683, 18843.144273, 18851.055231,
387
18858.966555, 18866.878245, 18874.790302, 18882.702725, 18890.615515, 18898.528670, 18906.442191, 18914.356077,
388
18922.270330, 18930.184947, 18938.099930, 18946.015279, 18953.930992, 18961.847070, 18969.763513, 18977.680320,
389
18985.597492, 18993.515029, 19001.432929, 19009.351194, 19017.269823, 19025.188815, 19033.108171, 19041.027891,
390
19048.947974, 19056.868421, 19064.789230, 19072.710403, 19080.631939, 19088.553837, 19096.476098, 19104.398722,
391
19112.321708, 19120.245056, 19128.168766, 19136.092839, 19144.017273, 19151.942069, 19159.867226, 19167.792745,
392
19175.718626, 19183.644867, 19191.571470, 19199.498433, 19207.425758, 19215.353443, 19223.281488, 19231.209894,
393
19239.138661, 19247.067787, 19254.997274, 19262.927120, 19270.857326, 19278.787892, 19286.718817, 19294.650102,
394
19302.581746, 19310.513749, 19318.446112, 19326.378833, 19334.311912, 19342.245351, 19350.179148, 19358.113303,
395
19366.047816, 19373.982688, 19381.917917, 19389.853505, 19397.789450, 19405.725753, 19413.662413, 19421.599430,
396
19429.536805, 19437.474537, 19445.412625, 19453.351071, 19461.289873, 19469.229032, 19477.168547, 19485.108419,
397
19493.048647, 19500.989230, 19508.930170, 19516.871466, 19524.813117, 19532.755124, 19540.697486, 19548.640204,
398
19556.583276, 19564.526704, 19572.470487, 19580.414624, 19588.359116, 19596.303963, 19604.249164, 19612.194720,
399
19620.140629, 19628.086893, 19636.033511, 19643.980482, 19651.927807, 19659.875485, 19667.823517, 19675.771903,
400
19683.720641, 19691.669733, 19699.619177, 19707.568974, 19715.519124, 19723.469627, 19731.420482, 19739.371689,
401
19747.323248, 19755.275159, 19763.227423, 19771.180038, 19779.133005, 19787.086323, 19795.039993, 19802.994014,
402
19810.948386, 19818.903109, 19826.858184, 19834.813609, 19842.769385, 19850.725511, 19858.681988, 19866.638815,
403
19874.595992, 19882.553520, 19890.511397, 19898.469624, 19906.428201, 19914.387128, 19922.346403, 19930.306029,
404
19938.266003, 19946.226327, 19954.187000, 19962.148021, 19970.109391, 19978.071110, 19986.033177, 19993.995593,
405
20001.958357, 20009.921469, 20017.884929, 20025.848737, 20033.812893, 20041.777396, 20049.742247, 20057.707445,
406
20065.672991, 20073.638884, 20081.605123, 20089.571710, 20097.538644, 20105.505924, 20113.473550, 20121.441524,
407
20129.409843, 20137.378509, 20145.347521, 20153.316878, 20161.286582, 20169.256631, 20177.227026, 20185.197767,
408
20193.168852, 20201.140283, 20209.112059, 20217.084181, 20225.056647, 20233.029457, 20241.002613, 20248.976113,
409
20256.949957, 20264.924146, 20272.898679, 20280.873556, 20288.848776, 20296.824341, 20304.800249, 20312.776501,
410
20320.753097, 20328.730036, 20336.707318, 20344.684943, 20352.662911, 20360.641222, 20368.619875, 20376.598872,
411
20384.578211, 20392.557892, 20400.537916, 20408.518281, 20416.498989, 20424.480039, 20432.461431, 20440.443164,
412
20448.425239, 20456.407655, 20464.390413, 20472.373512, 20480.356952, 20488.340733, 20496.324855, 20504.309317,
413
20512.294121, 20520.279265, 20528.264749, 20536.250574, 20544.236739, 20552.223244, 20560.210089, 20568.197273,
414
20576.184798, 20584.172662, 20592.160865, 20600.149408, 20608.138291, 20616.127512, 20624.117073, 20632.106972,
415
20640.097210, 20648.087787, 20656.078702, 20664.069956, 20672.061549, 20680.053479, 20688.045748, 20696.038354,
416
20704.031299, 20712.024581, 20720.018201, 20728.012159, 20736.006454, 20744.001086, 20751.996056, 20759.991362,
417
20767.987006, 20775.982986, 20783.979304, 20791.975958, 20799.972948, 20807.970275, 20815.967938, 20823.965937,
418
20831.964273, 20839.962944, 20847.961951, 20855.961294, 20863.960973, 20871.960987, 20879.961336, 20887.962021,
419
20895.963041, 20903.964396, 20911.966086, 20919.968111, 20927.970470, 20935.973165, 20943.976193, 20951.979556,
420
20959.983254, 20967.987285, 20975.991651, 20983.996350, 20992.001384, 21000.006751, 21008.012451, 21016.018485,
421
21024.024853, 21032.031554, 21040.038588, 21048.045955, 21056.053655, 21064.061688, 21072.070053, 21080.078752,
422
21088.087782, 21096.097145, 21104.106841, 21112.116868, 21120.127228, 21128.137919, 21136.148943, 21144.160298,
423
21152.171985, 21160.184003, 21168.196352, 21176.209033, 21184.222045, 21192.235389, 21200.249063, 21208.263068,
424
21216.277404, 21224.292070, 21232.307067, 21240.322394, 21248.338052, 21256.354040, 21264.370357, 21272.387005,
425
21280.403983, 21288.421291, 21296.438928, 21304.456894, 21312.475191, 21320.493816, 21328.512771, 21336.532055,
426
21344.551667, 21352.571609, 21360.591879, 21368.612479, 21376.633406, 21384.654663, 21392.676247, 21400.698160,
427
21408.720401, 21416.742970, 21424.765867, 21432.789091, 21440.812644, 21448.836524, 21456.860731, 21464.885266,
428
21472.910128, 21480.935317, 21488.960834, 21496.986677, 21505.012847, 21513.039344, 21521.066168, 21529.093318,
429
21537.120795, 21545.148597, 21553.176726, 21561.205182, 21569.233963, 21577.263070, 21585.292503, 21593.322261,
430
21601.352345, 21609.382755, 21617.413490, 21625.444550, 21633.475935, 21641.507646, 21649.539681, 21657.572041,
431
21665.604726, 21673.637736, 21681.671070, 21689.704728, 21697.738711, 21705.773018, 21713.807649, 21721.842604,
432
21729.877883, 21737.913485, 21745.949412, 21753.985662, 21762.022235, 21770.059132, 21778.096352, 21786.133895,
433
21794.171761, 21802.209950, 21810.248462, 21818.287297, 21826.326455, 21834.365934, 21842.405737, 21850.445862,
434
21858.486308, 21866.527077, 21874.568168, 21882.609581, 21890.651316, 21898.693372, 21906.735750, 21914.778450,
435
21922.821471, 21930.864813, 21938.908476, 21946.952461, 21954.996766, 21963.041392, 21971.086339, 21979.131607,
436
21987.177195, 21995.223104, 22003.269333, 22011.315883, 22019.362752, 22027.409942, 22035.457451, 22043.505281,
437
22051.553430, 22059.601898, 22067.650687, 22075.699794, 22083.749222, 22091.798968, 22099.849033, 22107.899418,
438
22115.950121, 22124.001143, 22132.052484, 22140.104144, 22148.156122, 22156.208418, 22164.261033, 22172.313966,
439
22180.367217, 22188.420787, 22196.474674, 22204.528879, 22212.583401, 22220.638241, 22228.693399, 22236.748874,
440
22244.804667, 22252.860776, 22260.917203, 22268.973947, 22277.031008, 22285.088385, 22293.146079, 22301.204090,
441
22309.262417, 22317.321061, 22325.380021, 22333.439297, 22341.498890, 22349.558798, 22357.619022, 22365.679562,
442
22373.740418, 22381.801589, 22389.863076, 22397.924879, 22405.986996, 22414.049429, 22422.112177, 22430.175240,
443
22438.238618, 22446.302310, 22454.366318, 22462.430639, 22470.495276, 22478.560227, 22486.625492, 22494.691071,
444
22502.756965, 22510.823173, 22518.889694, 22526.956529, 22535.023678, 22543.091141, 22551.158917, 22559.227007,
445
22567.295410, 22575.364126, 22583.433155, 22591.502498, 22599.572153, 22607.642121, 22615.712402, 22623.782996,
446
22631.853902, 22639.925120, 22647.996651, 22656.068494, 22664.140650, 22672.213117, 22680.285896, 22688.358988,
447
22696.432391, 22704.506105, 22712.580131, 22720.654469, 22728.729118, 22736.804078, 22744.879350, 22752.954933,
448
22761.030826, 22769.107031, 22777.183546, 22785.260372, 22793.337509, 22801.414956, 22809.492714, 22817.570781,
449
22825.649160, 22833.727848, 22841.806846, 22849.886154, 22857.965772, 22866.045700, 22874.125937, 22882.206484,
450
22890.287341, 22898.368507, 22906.449982, 22914.531766, 22922.613859, 22930.696261, 22938.778972, 22946.861992,
451
22954.945321, 22963.028958, 22971.112904, 22979.197158, 22987.281720, 22995.366591, 23003.451770, 23011.537257,
452
23019.623051, 23027.709154, 23035.795564, 23043.882282, 23051.969308, 23060.056640, 23068.144281, 23076.232228,
453
23084.320483, 23092.409045, 23100.497914, 23108.587089, 23116.676572, 23124.766361, 23132.856457, 23140.946859,
454
23149.037568, 23157.128583, 23165.219904, 23173.311531, 23181.403465, 23189.495704, 23197.588250, 23205.681101,
455
23213.774257, 23221.867720, 23229.961487, 23238.055560, 23246.149939, 23254.244623, 23262.339611, 23270.434905,
456
23278.530504, 23286.626407, 23294.722616, 23302.819129, 23310.915946, 23319.013068, 23327.110494, 23335.208225,
457
23343.306260, 23351.404598, 23359.503241, 23367.602188, 23375.701439, 23383.800993, 23391.900851, 23400.001012,
458
23408.101477, 23416.202245, 23424.303317, 23432.404692, 23440.506369, 23448.608350, 23456.710634, 23464.813220,
459
23472.916109, 23481.019301, 23489.122795, 23497.226592, 23505.330691, 23513.435092, 23521.539796, 23529.644801,
460
23537.750109, 23545.855718, 23553.961629, 23562.067842, 23570.174357, 23578.281173, 23586.388290, 23594.495709,
461
23602.603429, 23610.711450, 23618.819773, 23626.928396, 23635.037320, 23643.146545, 23651.256071, 23659.365897,
462
23667.476024, 23675.586451, 23683.697179, 23691.808206, 23699.919534, 23708.031163, 23716.143091, 23724.255319,
463
23732.367846, 23740.480674, 23748.593801, 23756.707228, 23764.820954, 23772.934979, 23781.049304, 23789.163928,
464
23797.278851, 23805.394073, 23813.509594, 23821.625413, 23829.741532, 23837.857949, 23845.974664, 23854.091678,
465
23862.208991, 23870.326602, 23878.444511, 23886.562718, 23894.681223, 23902.800026, 23910.919127, 23919.038525,
466
23927.158221, 23935.278215, 23943.398507, 23951.519095, 23959.639981, 23967.761165, 23975.882645, 23984.004422,
467
23992.126497, 24000.248868, 24008.371536, 24016.494501, 24024.617762, 24032.741320, 24040.865174, 24048.989325,
468
24057.113772, 24065.238515, 24073.363554, 24081.488889, 24089.614520, 24097.740447, 24105.866669, 24113.993187,
469
24122.120001, 24130.247110, 24138.374515, 24146.502215, 24154.630210, 24162.758500, 24170.887085, 24179.015965,
470
24187.145140, 24195.274610, 24203.404374, 24211.534433, 24219.664787, 24227.795435, 24235.926377, 24244.057614,
471
24252.189144, 24260.320969, 24268.453088, 24276.585501, 24284.718207, 24292.851207, 24300.984501, 24309.118089,
472
24317.251970, 24325.386144, 24333.520611, 24341.655372, 24349.790426, 24357.925773, 24366.061413, 24374.197346,
473
24382.333571, 24390.470090, 24398.606900, 24406.744004, 24414.881400, 24423.019088, 24431.157068, 24439.295341,
474
24447.433906, 24455.572762, 24463.711911, 24471.851352, 24479.991084, 24488.131108, 24496.271423, 24504.412030,
475
24512.552929, 24520.694119, 24528.835600, 24536.977372, 24545.119435, 24553.261789, 24561.404435, 24569.547371,
476
24577.690597, 24585.834115, 24593.977923, 24602.122021, 24610.266410, 24618.411089, 24626.556059, 24634.701318,
477
24642.846868, 24650.992708, 24659.138837, 24667.285256, 24675.431965, 24683.578964, 24691.726252, 24699.873830,
478
24708.021697, 24716.169854, 24724.318299, 24732.467034, 24740.616058, 24748.765371, 24756.914973, 24765.064863,
479
24773.215042, 24781.365510, 24789.516267, 24797.667312, 24805.818645, 24813.970267, 24822.122177, 24830.274375,
480
24838.426861, 24846.579635, 24854.732697, 24862.886046, 24871.039684, 24879.193609, 24887.347822, 24895.502322,
481
24903.657110, 24911.812184, 24919.967547, 24928.123196, 24936.279132, 24944.435355, 24952.591866, 24960.748663,
482
24968.905746, 24977.063117, 24985.220774, 24993.378717, 25001.536947, 25009.695464, 25017.854266, 25026.013355,
483
25034.172730, 25042.332390, 25050.492337, 25058.652569, 25066.813088, 25074.973892, 25083.134981, 25091.296356,
484
25099.458017, 25107.619962, 25115.782193, 25123.944710, 25132.107511, 25140.270597, 25148.433969, 25156.597625,
485
25164.761566, 25172.925791, 25181.090302, 25189.255097, 25197.420176, 25205.585539, 25213.751187, 25221.917120,
486
25230.083336, 25238.249836, 25246.416620, 25254.583689, 25262.751041, 25270.918676, 25279.086596, 25287.254799,
487
25295.423285, 25303.592055, 25311.761108, 25319.930444, 25328.100064, 25336.269967, 25344.440152, 25352.610621,
488
25360.781372, 25368.952406, 25377.123723, 25385.295323, 25393.467205, 25401.639369, 25409.811816, 25417.984545,
489
25426.157556, 25434.330850, 25442.504425, 25450.678283, 25458.852422, 25467.026843, 25475.201546, 25483.376531,
490
25491.551797, 25499.727344, 25507.903173, 25516.079284, 25524.255675, 25532.432348, 25540.609302, 25548.786537,
491
25556.964053, 25565.141849, 25573.319927, 25581.498285, 25589.676924, 25597.855843, 25606.035043, 25614.214523,
492
25622.394284, 25630.574324, 25638.754645, 25646.935246, 25655.116127, 25663.297288, 25671.478729, 25679.660449,
493
25687.842449, 25696.024729, 25704.207288, 25712.390127, 25720.573245, 25728.756642, 25736.940319, 25745.124275,
494
25753.308510, 25761.493023, 25769.677816, 25777.862887, 25786.048238, 25794.233867, 25802.419774, 25810.605960,
495
25818.792424, 25826.979167, 25835.166188, 25843.353488, 25851.541065, 25859.728920, 25867.917054, 25876.105465,
496
25884.294154, 25892.483121, 25900.672366, 25908.861888, 25917.051687, 25925.241764, 25933.432119, 25941.622750,
497
25949.813659, 25958.004845, 25966.196308, 25974.388048, 25982.580065, 25990.772359, 25998.964930, 26007.157777,
498
26015.350900, 26023.544301, 26031.737977, 26039.931930, 26048.126160, 26056.320665, 26064.515447, 26072.710504,
499
26080.905838, 26089.101448, 26097.297333, 26105.493494, 26113.689931, 26121.886643, 26130.083631, 26138.280895,
500
26146.478434, 26154.676248, 26162.874337, 26171.072701, 26179.271341, 26187.470255, 26195.669444, 26203.868909,
501
26212.068648, 26220.268661, 26228.468950, 26236.669512, 26244.870350, 26253.071461, 26261.272847, 26269.474507,
502
26277.676442, 26285.878650, 26294.081133, 26302.283889, 26310.486919, 26318.690223, 26326.893801, 26335.097652,
503
26343.301777, 26351.506176, 26359.710848, 26367.915793, 26376.121011, 26384.326503, 26392.532267, 26400.738305,
504
26408.944616, 26417.151200, 26425.358056, 26433.565185, 26441.772587, 26449.980261, 26458.188208, 26466.396428,
505
26474.604919, 26482.813684, 26491.022720, 26499.232028, 26507.441609, 26515.651461, 26523.861586, 26532.071982,
506
26540.282650, 26548.493590, 26556.704801, 26564.916284, 26573.128038, 26581.340064, 26589.552361, 26597.764930,
507
26605.977769, 26614.190880, 26622.404262, 26630.617914, 26638.831838, 26647.046032, 26655.260498, 26663.475233,
508
26671.690240, 26679.905517, 26688.121064, 26696.336882, 26704.552970, 26712.769328, 26720.985957, 26729.202855,
509
26737.420024, 26745.637463, 26753.855171, 26762.073149, 26770.291397, 26778.509915, 26786.728702, 26794.947759,
510
26803.167085, 26811.386680, 26819.606545, 26827.826679, 26836.047082, 26844.267754, 26852.488695, 26860.709905,
511
26868.931384, 26877.153132, 26885.375148, 26893.597433, 26901.819987, 26910.042809, 26918.265900, 26926.489259,
512
26934.712886, 26942.936781, 26951.160945, 26959.385376, 26967.610076, 26975.835043, 26984.060279, 26992.285782,
513
27000.511553, 27008.737591, 27016.963897, 27025.190470, 27033.417311, 27041.644420, 27049.871795, 27058.099438,
514
27066.327348, 27074.555525, 27082.783968, 27091.012679, 27099.241657, 27107.470901, 27115.700412, 27123.930190,
515
27132.160234, 27140.390545, 27148.621123, 27156.851966, 27165.083076, 27173.314452, 27181.546094, 27189.778002,
516
27198.010177, 27206.242617, 27214.475323, 27222.708295, 27230.941532, 27239.175035, 27247.408804, 27255.642838,
517
27263.877138, 27272.111703, 27280.346533, 27288.581629, 27296.816989, 27305.052615, 27313.288506, 27321.524661,
518
27329.761082, 27337.997767, 27346.234717, 27354.471932, 27362.709411, 27370.947155, 27379.185163, 27387.423436,
519
27395.661973, 27403.900774, 27412.139839, 27420.379169, 27428.618762, 27436.858620, 27445.098741, 27453.339126,
520
27461.579775, 27469.820687, 27478.061864, 27486.303303, 27494.545006, 27502.786973, 27511.029203, 27519.271696,
521
27527.514452, 27535.757472, 27544.000754, 27552.244300, 27560.488108, 27568.732180, 27576.976514, 27585.221110,
522
27593.465970, 27601.711092, 27609.956476, 27618.202123, 27626.448032, 27634.694204, 27642.940638, 27651.187334,
523
27659.434292, 27667.681512, 27675.928994, 27684.176738, 27692.424743, 27700.673011, 27708.921540, 27717.170331,
524
27725.419383, 27733.668697, 27741.918272, 27750.168108, 27758.418206, 27766.668565, 27774.919185, 27783.170066,
525
27791.421208, 27799.672611, 27807.924275, 27816.176200, 27824.428385, 27832.680832, 27840.933538, 27849.186505,
526
27857.439733, 27865.693221, 27873.946969, 27882.200978, 27890.455247, 27898.709776, 27906.964565, 27915.219614,
527
27923.474922, 27931.730491, 27939.986319, 27948.242408, 27956.498755, 27964.755363, 27973.012230, 27981.269356,
528
27989.526741, 27997.784386, 28006.042291, 28014.300454, 28022.558876, 28030.817558, 28039.076498, 28047.335698,
529
28055.595156, 28063.854873, 28072.114849, 28080.375083, 28088.635576, 28096.896327, 28105.157337, 28113.418605,
530
28121.680131, 28129.941916, 28138.203959, 28146.466260, 28154.728819, 28162.991636, 28171.254711, 28179.518043,
531
28187.781634, 28196.045482, 28204.309588, 28212.573951, 28220.838572, 28229.103450, 28237.368586, 28245.633979,
532
28253.899629, 28262.165536, 28270.431701, 28278.698122, 28286.964801, 28295.231736, 28303.498928, 28311.766377,
533
28320.034083, 28328.302045, 28336.570264, 28344.838739, 28353.107471, 28361.376459, 28369.645704, 28377.915205,
534
28386.184962, 28394.454975, 28402.725244, 28410.995769, 28419.266550, 28427.537587, 28435.808879, 28444.080428,
535
28452.352232, 28460.624291, 28468.896606, 28477.169177, 28485.442003, 28493.715084, 28501.988421, 28510.262013,
536
28518.535860, 28526.809962, 28535.084319, 28543.358931, 28551.633798, 28559.908919, 28568.184296, 28576.459927,
537
28584.735812, 28593.011952, 28601.288347, 28609.564996, 28617.841900, 28626.119058, 28634.396470, 28642.674136,
538
28650.952056, 28659.230230, 28667.508659, 28675.787341, 28684.066277, 28692.345466, 28700.624910, 28708.904607,
539
28717.184558, 28725.464762, 28733.745220, 28742.025931, 28750.306895, 28758.588113, 28766.869584, 28775.151308,
540
28783.433285, 28791.715515, 28799.997998, 28808.280734, 28816.563722, 28824.846964, 28833.130458, 28841.414205,
541
28849.698204, 28857.982456, 28866.266960, 28874.551717, 28882.836726, 28891.121987, 28899.407500, 28907.693265,
542
28915.979283, 28924.265552, 28932.552074, 28940.838847, 28949.125872, 28957.413149, 28965.700677, 28973.988457,
543
28982.276489, 28990.564772, 28998.853306, 29007.142092, 29015.431129, 29023.720417, 29032.009957, 29040.299748,
544
29048.589789, 29056.880082, 29065.170625, 29073.461420, 29081.752465, 29090.043761, 29098.335307, 29106.627104,
545
29114.919152, 29123.211450, 29131.503998, 29139.796797, 29148.089846, 29156.383146, 29164.676695, 29172.970495,
546
29181.264545, 29189.558844, 29197.853394, 29206.148193, 29214.443242, 29222.738541, 29231.034090, 29239.329888,
547
29247.625935, 29255.922232, 29264.218779, 29272.515575, 29280.812620, 29289.109914, 29297.407458, 29305.705251,
548
29314.003292, 29322.301583, 29330.600122, 29338.898911, 29347.197948, 29355.497234, 29363.796768, 29372.096552,
549
29380.396583, 29388.696863, 29396.997392, 29405.298169, 29413.599194, 29421.900468, 29430.201989, 29438.503759,
550
29446.805777, 29455.108043, 29463.410557, 29471.713318, 29480.016327, 29488.319585, 29496.623089, 29504.926842,
551
29513.230842, 29521.535089, 29529.839584, 29538.144326, 29546.449316, 29554.754553, 29563.060037, 29571.365768,
552
29579.671746, 29587.977971, 29596.284444, 29604.591163, 29612.898129, 29621.205341, 29629.512800, 29637.820506,
553
29646.128459, 29654.436658, 29662.745104, 29671.053795, 29679.362734, 29687.671918, 29695.981349, 29704.291026,
554
29712.600949, 29720.911118, 29729.221533, 29737.532194, 29745.843101, 29754.154253, 29762.465651, 29770.777295,
555
29779.089185, 29787.401320, 29795.713701, 29804.026327, 29812.339198, 29820.652315, 29828.965677, 29837.279284,
556
29845.593136, 29853.907233, 29862.221576, 29870.536163, 29878.850995, 29887.166072, 29895.481394, 29903.796960,
557
29912.112772, 29920.428827, 29928.745128, 29937.061672, 29945.378461, 29953.695495, 29962.012773, 29970.330295,
558
29978.648061, 29986.966071, 29995.284325, 30003.602824, 30011.921566, 30020.240552, 30028.559782, 30036.879256,
559
30045.198973, 30053.518934, 30061.839139, 30070.159587, 30078.480278, 30086.801213, 30095.122392, 30103.443813,
560
30111.765478, 30120.087386, 30128.409537, 30136.731931, 30145.054568, 30153.377448, 30161.700571, 30170.023937,
561
30178.347545, 30186.671397, 30194.995490, 30203.319827, 30211.644406, 30219.969227, 30228.294290, 30236.619597,
562
30244.945145, 30253.270935, 30261.596968, 30269.923243, 30278.249760, 30286.576518, 30294.903519, 30303.230762,
563
30311.558246, 30319.885972, 30328.213940, 30336.542150, 30344.870601, 30353.199293, 30361.528227, 30369.857403,
564
30378.186820, 30386.516478, 30394.846377, 30403.176517, 30411.506899, 30419.837522, 30428.168385, 30436.499490,
565
30444.830835, 30453.162422, 30461.494249, 30469.826316, 30478.158625, 30486.491174, 30494.823963, 30503.156993,
566
30511.490263, 30519.823774, 30528.157525, 30536.491516, 30544.825748, 30553.160219, 30561.494931, 30569.829882,
567
30578.165074, 30586.500506, 30594.836177, 30603.172088, 30611.508239, 30619.844629, 30628.181259, 30636.518129,
568
30644.855238, 30653.192587, 30661.530175, 30669.868002, 30678.206068, 30686.544374, 30694.882919, 30703.221703,
569
30711.560726, 30719.899988, 30728.239489, 30736.579229, 30744.919207, 30753.259425, 30761.599881, 30769.940575,
570
30778.281508, 30786.622680, 30794.964090, 30803.305739, 30811.647626, 30819.989751, 30828.332115, 30836.674716,
571
30845.017556, 30853.360634, 30861.703950, 30870.047504, 30878.391296, 30886.735325, 30895.079592, 30903.424098,
572
30911.768840, 30920.113821, 30928.459039, 30936.804494, 30945.150187, 30953.496117, 30961.842285, 30970.188690,
573
30978.535332, 30986.882211, 30995.229327, 31003.576681, 31011.924271, 31020.272098, 31028.620163, 31036.968464,
574
31045.317002, 31053.665776, 31062.014787, 31070.364035, 31078.713519, 31087.063240, 31095.413198, 31103.763391,
575
31112.113821, 31120.464487, 31128.815390, 31137.166529, 31145.517903, 31153.869514, 31162.221361, 31170.573443,
576
31178.925762, 31187.278316, 31195.631106, 31203.984132, 31212.337394, 31220.690891, 31229.044624, 31237.398592,
577
31245.752795, 31254.107234, 31262.461908, 31270.816818, 31279.171963, 31287.527343, 31295.882958, 31304.238808,
578
31312.594893, 31320.951213, 31329.307767, 31337.664557, 31346.021582, 31354.378841, 31362.736335, 31371.094063,
579
31379.452026, 31387.810223, 31396.168655, 31404.527322, 31412.886222, 31421.245357, 31429.604726, 31437.964329,
580
31446.324167, 31454.684238, 31463.044544, 31471.405083, 31479.765856, 31488.126863, 31496.488104, 31504.849579,
581
31513.211287, 31521.573229, 31529.935405, 31538.297814, 31546.660456, 31555.023332, 31563.386441, 31571.749784,
582
31580.113359, 31588.477168, 31596.841210, 31605.205485, 31613.569993, 31621.934734, 31630.299708, 31638.664915,
583
31647.030355, 31655.396027, 31663.761932, 31672.128070, 31680.494440, 31688.861043, 31697.227878, 31705.594946,
584
31713.962246, 31722.329779, 31730.697543, 31739.065540, 31747.433769, 31755.802230, 31764.170924, 31772.539849,
585
31780.909006, 31789.278395, 31797.648016, 31806.017868, 31814.387953, 31822.758269, 31831.128816, 31839.499595,
586
31847.870606, 31856.241848, 31864.613322, 31872.985027, 31881.356963, 31889.729130, 31898.101529, 31906.474159,
587
31914.847019, 31923.220111, 31931.593434, 31939.966988, 31948.340772, 31956.714788, 31965.089034, 31973.463511,
588
31981.838218, 31990.213157, 31998.588325, 32006.963725, 32015.339354, 32023.715214, 32032.091305, 32040.467625,
589
32048.844176, 32057.220957, 32065.597968, 32073.975209, 32082.352681, 32090.730382, 32099.108313, 32107.486474,
590
32115.864865, 32124.243485, 32132.622336, 32141.001415, 32149.380725, 32157.760264, 32166.140032, 32174.520030,
591
32182.900258, 32191.280714, 32199.661400, 32208.042316, 32216.423460, 32224.804833, 32233.186436, 32241.568267,
592
32249.950328, 32258.332617, 32266.715136, 32275.097883, 32283.480859, 32291.864063, 32300.247496, 32308.631158,
593
32317.015049, 32325.399167, 32333.783515, 32342.168090, 32350.552894, 32358.937927, 32367.323187, 32375.708676,
594
32384.094393, 32392.480338, 32400.866510, 32409.252911, 32417.639540, 32426.026397, 32434.413481, 32442.800794,
595
32451.188334, 32459.576101, 32467.964097, 32476.352319, 32484.740770, 32493.129447, 32501.518353, 32509.907485,
596
32518.296845, 32526.686432, 32535.076246, 32543.466288, 32551.856556, 32560.247052, 32568.637774, 32577.028724,
597
32585.419900, 32593.811303, 32602.202933, 32610.594790, 32618.986873, 32627.379183, 32635.771720, 32644.164483,
598
32652.557473, 32660.950689, 32669.344131, 32677.737800, 32686.131695, 32694.525816, 32702.920163, 32711.314737,
599
32719.709536, 32728.104562, 32736.499813, 32744.895291, 32753.290994, 32761.686923, 32770.083078, 32778.479459,
600
32786.876065, 32795.272897, 32803.669954, 32812.067237, 32820.464745, 32828.862479, 32837.260438, 32845.658623,
601
32854.057032, 32862.455667, 32870.854527, 32879.253612, 32887.652922, 32896.052457, 32904.452218, 32912.852203,
602
32921.252412, 32929.652847, 32938.053506, 32946.454390, 32954.855499, 32963.256832, 32971.658390, 32980.060173,
603
32988.462179, 32996.864411, 33005.266866, 33013.669546, 33022.072450, 33030.475578, 33038.878931, 33047.282507,
604
33055.686308, 33064.090332, 33072.494581, 33080.899053, 33089.303749, 33097.708669, 33106.113813, 33114.519180,
605
33122.924771, 33131.330586, 33139.736624, 33148.142885, 33156.549370, 33164.956079, 33173.363011, 33181.770166,
606
33190.177544, 33198.585146, 33206.992970, 33215.401018, 33223.809289, 33232.217783, 33240.626499, 33249.035439,
607
33257.444601, 33265.853987, 33274.263595, 33282.673425, 33291.083479, 33299.493754, 33307.904253, 33316.314974,
608
33324.725917, 33333.137083, 33341.548471, 33349.960082, 33358.371914, 33366.783969, 33375.196246, 33383.608745,
609
33392.021466, 33400.434410, 33408.847575, 33417.260962, 33425.674571, 33434.088401, 33442.502454, 33450.916728,
610
33459.331224, 33467.745941, 33476.160880, 33484.576041, 33492.991422, 33501.407026, 33509.822850, 33518.238897,
611
33526.655164, 33535.071652, 33543.488362, 33551.905293, 33560.322445, 33568.739817, 33577.157411, 33585.575226,
612
33593.993262, 33602.411518, 33610.829995, 33619.248693, 33627.667612, 33636.086751, 33644.506111, 33652.925691,
613
33661.345492, 33669.765513, 33678.185755, 33686.606217, 33695.026899, 33703.447802, 33711.868925, 33720.290267,
614
33728.711830, 33737.133613, 33745.555616, 33753.977839, 33762.400282, 33770.822945, 33779.245827, 33787.668930,
615
33796.092252, 33804.515793, 33812.939555, 33821.363535, 33829.787736, 33838.212156, 33846.636795, 33855.061653,
616
33863.486731, 33871.912028, 33880.337545, 33888.763280, 33897.189235, 33905.615409, 33914.041802, 33922.468414,
617
33930.895244, 33939.322294, 33947.749562, 33956.177050, 33964.604756, 33973.032680, 33981.460824, 33989.889186,
618
33998.317766, 34006.746565, 34015.175583, 34023.604819, 34032.034273, 34040.463946, 34048.893836, 34057.323946,
619
34065.754273, 34074.184818, 34082.615582, 34091.046563, 34099.477763, 34107.909180, 34116.340815, 34124.772669,
620
34133.204739, 34141.637028, 34150.069535, 34158.502259, 34166.935200, 34175.368359, 34183.801736, 34192.235330,
621
34200.669142, 34209.103171, 34217.537417, 34225.971881, 34234.406561, 34242.841459, 34251.276574, 34259.711907,
622
34268.147456, 34276.583222, 34285.019205, 34293.455405, 34301.891822, 34310.328456, 34318.765306, 34327.202373,
623
34335.639657, 34344.077158, 34352.514874, 34360.952808, 34369.390958, 34377.829324, 34386.267907, 34394.706706,
624
34403.145722, 34411.584953, 34420.024401, 34428.464065, 34436.903945, 34445.344041, 34453.784354, 34462.224882,
625
34470.665626, 34479.106586, 34487.547761, 34495.989153, 34504.430760, 34512.872583, 34521.314621, 34529.756875,
626
34538.199345, 34546.642030, 34555.084931, 34563.528047, 34571.971378, 34580.414925, 34588.858687, 34597.302664,
627
34605.746856, 34614.191264, 34622.635886, 34631.080724, 34639.525776, 34647.971044, 34656.416526, 34664.862223,
628
34673.308135, 34681.754262, 34690.200603, 34698.647159, 34707.093930, 34715.540915, 34723.988115, 34732.435530,
629
34740.883158, 34749.331001, 34757.779059, 34766.227331, 34774.675817, 34783.124517, 34791.573431, 34800.022560,
630
34808.471902, 34816.921459, 34825.371229, 34833.821214, 34842.271412, 34850.721824, 34859.172450, 34867.623290,
631
34876.074343, 34884.525610, 34892.977091, 34901.428785, 34909.880693, 34918.332814, 34926.785149, 34935.237697,
632
34943.690458, 34952.143433, 34960.596620, 34969.050021, 34977.503636, 34985.957463, 34994.411503, 35002.865757,
633
35011.320223, 35019.774902, 35028.229795, 35036.684900, 35045.140217, 35053.595748, 35062.051491, 35070.507447,
634
35078.963615, 35087.419997, 35095.876590, 35104.333396, 35112.790415, 35121.247645, 35129.705089, 35138.162744,
635
35146.620612, 35155.078692, 35163.536984, 35171.995488, 35180.454204, 35188.913133, 35197.372273, 35205.831625,
636
35214.291189, 35222.750965, 35231.210953, 35239.671152, 35248.131563, 35256.592186, 35265.053021, 35273.514067,
637
35281.975324, 35290.436793, 35298.898474, 35307.360366, 35315.822469, 35324.284783, 35332.747309, 35341.210046,
638
35349.672994, 35358.136154, 35366.599524, 35375.063106, 35383.526898, 35391.990901, 35400.455116, 35408.919541,
639
35417.384177, 35425.849023, 35434.314081, 35442.779349, 35451.244828, 35459.710517, 35468.176417, 35476.642527,
640
35485.108848, 35493.575379, 35502.042121, 35510.509073, 35518.976235, 35527.443608, 35535.911191, 35544.378983,
641
35552.846986, 35561.315199, 35569.783622, 35578.252255, 35586.721098, 35595.190151, 35603.659414, 35612.128886,
642
35620.598568, 35629.068460, 35637.538562, 35646.008873, 35654.479394, 35662.950124, 35671.421064, 35679.892213,
643
35688.363572, 35696.835140, 35705.306917, 35713.778904, 35722.251100, 35730.723505, 35739.196119, 35747.668942,
644
35756.141974, 35764.615216, 35773.088666, 35781.562325, 35790.036193, 35798.510270, 35806.984556, 35815.459050,
645
35823.933753, 35832.408665, 35840.883786, 35849.359115, 35857.834652, 35866.310398, 35874.786353, 35883.262515,
646
35891.738887, 35900.215466, 35908.692254, 35917.169250, 35925.646454, 35934.123866, 35942.601487, 35951.079315,
647
35959.557352, 35968.035596, 35976.514049, 35984.992709, 35993.471577, 36001.950653, 36010.429936, 36018.909428,
648
36027.389127, 36035.869033, 36044.349147, 36052.829469, 36061.309998, 36069.790735, 36078.271679, 36086.752831,
649
36095.234189, 36103.715755, 36112.197529, 36120.679509, 36129.161697, 36137.644091, 36146.126693, 36154.609502,
650
36163.092517, 36171.575740, 36180.059170, 36188.542806, 36197.026649, 36205.510699, 36213.994956, 36222.479419,
651
36230.964089, 36239.448966, 36247.934049, 36256.419339, 36264.904835, 36273.390537, 36281.876446, 36290.362561,
652
36298.848883, 36307.335411, 36315.822145, 36324.309085, 36332.796231, 36341.283584, 36349.771142, 36358.258906,
653
36366.746877, 36375.235053, 36383.723435, 36392.212023, 36400.700817, 36409.189816, 36417.679021, 36426.168432,
654
36434.658048, 36443.147870, 36451.637898, 36460.128131, 36468.618569, 36477.109213, 36485.600063, 36494.091117,
655
36502.582377, 36511.073842, 36519.565512, 36528.057388, 36536.549468, 36545.041754, 36553.534244, 36562.026940,
656
36570.519840, 36579.012946, 36587.506256, 36595.999771, 36604.493491, 36612.987415, 36621.481545, 36629.975878,
657
36638.470417, 36646.965160, 36655.460108, 36663.955260, 36672.450616, 36680.946177, 36689.441942, 36697.937912,
658
36706.434086, 36714.930464, 36723.427046, 36731.923832, 36740.420823, 36748.918017, 36757.415416, 36765.913019,
659
36774.410825, 36782.908835, 36791.407050, 36799.905468, 36808.404089, 36816.902915, 36825.401944, 36833.901177,
660
36842.400614, 36850.900254, 36859.400097, 36867.900144, 36876.400395, 36884.900848, 36893.401506, 36901.902366,
661
36910.403430, 36918.904697, 36927.406167, 36935.907841, 36944.409717, 36952.911797, 36961.414079, 36969.916565,
662
36978.419253, 36986.922145, 36995.425239, 37003.928536, 37012.432036, 37020.935739, 37029.439644, 37037.943752,
663
37046.448062, 37054.952576, 37063.457291, 37071.962209, 37080.467330, 37088.972653, 37097.478178, 37105.983906,
664
37114.489836, 37122.995968, 37131.502303, 37140.008839, 37148.515578, 37157.022519, 37165.529662, 37174.037007,
665
37182.544554, 37191.052302, 37199.560253, 37208.068405, 37216.576760, 37225.085316, 37233.594073, 37242.103033,
666
37250.612194, 37259.121556, 37267.631120, 37276.140886, 37284.650853, 37293.161022, 37301.671392, 37310.181963,
667
37318.692736, 37327.203710, 37335.714885, 37344.226261, 37352.737838, 37361.249617, 37369.761597, 37378.273777,
668
37386.786159, 37395.298742, 37403.811525, 37412.324509, 37420.837695, 37429.351080, 37437.864667, 37446.378455,
669
37454.892443, 37463.406631, 37471.921021, 37480.435610, 37488.950401, 37497.465391, 37505.980583, 37514.495974,
670
37523.011566, 37531.527358, 37540.043351, 37548.559544, 37557.075936, 37565.592529, 37574.109323, 37582.626316,
671
37591.143509, 37599.660902, 37608.178495, 37616.696288, 37625.214281, 37633.732474, 37642.250866, 37650.769458,
672
37659.288250, 37667.807242, 37676.326433, 37684.845824, 37693.365414, 37701.885204, 37710.405193, 37718.925382,
673
37727.445770, 37735.966357, 37744.487144, 37753.008130, 37761.529315, 37770.050700, 37778.572283, 37787.094066,
674
37795.616048, 37804.138228, 37812.660608, 37821.183187, 37829.705964, 37838.228941, 37846.752116, 37855.275490,
675
37863.799063, 37872.322834, 37880.846805, 37889.370973, 37897.895341, 37906.419907, 37914.944671, 37923.469634,
676
37931.994796, 37940.520155, 37949.045713, 37957.571470, 37966.097424, 37974.623577, 37983.149929, 37991.676478,
677
38000.203225, 38008.730171, 38017.257314, 38025.784656, 38034.312195, 38042.839933, 38051.367868, 38059.896001,
678
38068.424332, 38076.952861, 38085.481587, 38094.010511, 38102.539633, 38111.068952, 38119.598469, 38128.128184,
679
38136.658096, 38145.188205, 38153.718512, 38162.249016, 38170.779718, 38179.310617, 38187.841713, 38196.373006,
680
38204.904497, 38213.436184, 38221.968069, 38230.500151, 38239.032430, 38247.564905, 38256.097578, 38264.630448,
681
38273.163514, 38281.696778, 38290.230238, 38298.763895, 38307.297748, 38315.831799, 38324.366046, 38332.900489,
682
38341.435129, 38349.969966, 38358.504999, 38367.040229, 38375.575655, 38384.111277, 38392.647096, 38401.183110,
683
38409.719322, 38418.255729, 38426.792333, 38435.329132, 38443.866128, 38452.403320, 38460.940708, 38469.478292,
684
38478.016072, 38486.554047, 38495.092219, 38503.630586, 38512.169150, 38520.707909, 38529.246863, 38537.786014,
685
38546.325360, 38554.864901, 38563.404638, 38571.944571, 38580.484699, 38589.025023, 38597.565542, 38606.106256,
686
38614.647166, 38623.188271, 38631.729571, 38640.271067, 38648.812757, 38657.354643, 38665.896724, 38674.439000,
687
38682.981471, 38691.524137, 38700.066998, 38708.610054, 38717.153305, 38725.696750, 38734.240391, 38742.784226,
688
38751.328256, 38759.872480, 38768.416899, 38776.961513, 38785.506321, 38794.051324, 38802.596522, 38811.141913,
689
38819.687500, 38828.233280, 38836.779255, 38845.325425, 38853.871788, 38862.418346, 38870.965098, 38879.512044,
690
38888.059184, 38896.606519, 38905.154047, 38913.701770, 38922.249686, 38930.797796, 38939.346100, 38947.894598,
691
38956.443290, 38964.992176, 38973.541255, 38982.090528, 38990.639995, 38999.189656, 39007.739510, 39016.289557,
692
39024.839798, 39033.390233, 39041.940861, 39050.491682, 39059.042697, 39067.593905, 39076.145306, 39084.696901,
693
39093.248689, 39101.800670, 39110.352844, 39118.905211, 39127.457771, 39136.010525, 39144.563471, 39153.116610,
694
39161.669943, 39170.223468, 39178.777186, 39187.331097, 39195.885200, 39204.439496, 39212.993985, 39221.548667,
695
39230.103541, 39238.658608, 39247.213867, 39255.769319, 39264.324964, 39272.880801, 39281.436830, 39289.993051,
696
39298.549465, 39307.106071, 39315.662870, 39324.219861, 39332.777043, 39341.334418, 39349.891985, 39358.449745,
697
39367.007696, 39375.565839, 39384.124174, 39392.682701, 39401.241420, 39409.800331, 39418.359434, 39426.918728,
698
39435.478214, 39444.037892, 39452.597761, 39461.157822, 39469.718075, 39478.278519, 39486.839155, 39495.399982,
699
39503.961001, 39512.522211, 39521.083612, 39529.645205, 39538.206989, 39546.768965, 39555.331131, 39563.893489,
700
39572.456038, 39581.018778, 39589.581709, 39598.144831, 39606.708144, 39615.271648, 39623.835343, 39632.399229,
701
39640.963306, 39649.527574, 39658.092032, 39666.656681, 39675.221521, 39683.786551, 39692.351773, 39700.917184,
702
39709.482787, 39718.048580, 39726.614563, 39735.180737, 39743.747101, 39752.313656, 39760.880401, 39769.447336,
703
39778.014461, 39786.581777, 39795.149283, 39803.716979, 39812.284866, 39820.852942, 39829.421209, 39837.989665,
704
39846.558311, 39855.127148, 39863.696174, 39872.265390, 39880.834797, 39889.404392, 39897.974178, 39906.544153,
705
39915.114319, 39923.684673, 39932.255218, 39940.825952, 39949.396875, 39957.967988, 39966.539291, 39975.110783,
706
39983.682464, 39992.254335, 40000.826395, 40009.398644, 40017.971083, 40026.543711, 40035.116528, 40043.689534,
707
40052.262730, 40060.836114, 40069.409688, 40077.983450, 40086.557402, 40095.131542, 40103.705871, 40112.280390,
708
40120.855097, 40129.429993, 40138.005077, 40146.580351, 40155.155813, 40163.731464, 40172.307303, 40180.883331,
709
40189.459548, 40198.035953, 40206.612546, 40215.189328, 40223.766298, 40232.343457, 40240.920804, 40249.498340,
710
40258.076063, 40266.653975, 40275.232076, 40283.810364, 40292.388840, 40300.967505, 40309.546357, 40318.125398,
711
40326.704627, 40335.284043, 40343.863648, 40352.443440, 40361.023420, 40369.603588, 40378.183944, 40386.764487,
712
40395.345218, 40403.926137, 40412.507244, 40421.088538, 40429.670020, 40438.251689, 40446.833546, 40455.415590,
713
40463.997821, 40472.580240, 40481.162847, 40489.745640, 40498.328621, 40506.911789, 40515.495145, 40524.078687,
714
40532.662417, 40541.246334, 40549.830438, 40558.414729, 40566.999207, 40575.583872, 40584.168723, 40592.753762,
715
40601.338988, 40609.924400, 40618.509999, 40627.095785, 40635.681758, 40644.267918, 40652.854264, 40661.440796,
716
40670.027515, 40678.614421, 40687.201514, 40695.788792, 40704.376258, 40712.963909, 40721.551747, 40730.139772,
717
40738.727982, 40747.316379, 40755.904963, 40764.493732, 40773.082687, 40781.671829, 40790.261157, 40798.850671,
718
40807.440371, 40816.030257, 40824.620328, 40833.210586, 40841.801030, 40850.391659, 40858.982475, 40867.573476,
719
40876.164663, 40884.756035, 40893.347594, 40901.939337, 40910.531267, 40919.123382, 40927.715683, 40936.308169,
720
40944.900841, 40953.493698, 40962.086740, 40970.679968, 40979.273381, 40987.866980, 40996.460764, 41005.054733,
721
41013.648887, 41022.243226, 41030.837751, 41039.432460, 41048.027355, 41056.622435, 41065.217700, 41073.813149,
722
41082.408784, 41091.004603, 41099.600608, 41108.196797, 41116.793171, 41125.389730, 41133.986473, 41142.583401,
723
41151.180514, 41159.777812, 41168.375294, 41176.972960, 41185.570811, 41194.168847, 41202.767067, 41211.365471,
724
41219.964060, 41228.562833, 41237.161791, 41245.760933, 41254.360259, 41262.959769, 41271.559463, 41280.159342,
725
41288.759405, 41297.359651, 41305.960082, 41314.560697, 41323.161496, 41331.762478, 41340.363645, 41348.964995,
726
41357.566530, 41366.168248, 41374.770150, 41383.372236, 41391.974505, 41400.576958, 41409.179595, 41417.782415,
727
41426.385419, 41434.988606, 41443.591977, 41452.195531, 41460.799269, 41469.403190, 41478.007295, 41486.611583,
728
41495.216054, 41503.820708, 41512.425546, 41521.030567, 41529.635771, 41538.241158, 41546.846729, 41555.452482,
729
41564.058418, 41572.664538, 41581.270840, 41589.877325, 41598.483994, 41607.090845, 41615.697879, 41624.305095,
730
41632.912495, 41641.520077, 41650.127842, 41658.735789, 41667.343920, 41675.952232, 41684.560728, 41693.169406,
731
41701.778266, 41710.387309, 41718.996534, 41727.605942, 41736.215532, 41744.825304, 41753.435259, 41762.045396,
732
41770.655715, 41779.266216, 41787.876900, 41796.487766, 41805.098813, 41813.710043, 41822.321455, 41830.933049,
733
41839.544825, 41848.156783, 41856.768922, 41865.381244, 41873.993747, 41882.606432, 41891.219299, 41899.832348,
734
41908.445578, 41917.058990, 41925.672584, 41934.286359, 41942.900316, 41951.514455, 41960.128774, 41968.743276,
735
41977.357959, 41985.972823, 41994.587868, 42003.203095, 42011.818504, 42020.434093, 42029.049864, 42037.665816,
736
42046.281949, 42054.898263, 42063.514759, 42072.131435, 42080.748293, 42089.365331, 42097.982551, 42106.599951,
737
42115.217532, 42123.835295, 42132.453238, 42141.071362, 42149.689666, 42158.308152, 42166.926818, 42175.545665,
738
42184.164692, 42192.783900, 42201.403289, 42210.022858, 42218.642608, 42227.262539, 42235.882649, 42244.502940,
739
42253.123412, 42261.744064, 42270.364896, 42278.985909, 42287.607101, 42296.228474, 42304.850028, 42313.471761,
740
42322.093674, 42330.715768, 42339.338042, 42347.960495, 42356.583129, 42365.205943, 42373.828936, 42382.452110,
741
42391.075463, 42399.698997, 42408.322710, 42416.946602, 42425.570675, 42434.194927, 42442.819359, 42451.443971,
742
42460.068762, 42468.693733, 42477.318883, 42485.944213, 42494.569722, 42503.195411, 42511.821279, 42520.447327,
743
42529.073554, 42537.699960, 42546.326546, 42554.953310, 42563.580254, 42572.207378, 42580.834680, 42589.462162,
744
42598.089822, 42606.717662, 42615.345681, 42623.973879, 42632.602255, 42641.230811, 42649.859545, 42658.488459,
745
42667.117551, 42675.746822, 42684.376272, 42693.005901, 42701.635708, 42710.265694, 42718.895859, 42727.526202,
746
42736.156724, 42744.787424, 42753.418303, 42762.049361, 42770.680597, 42779.312011, 42787.943604, 42796.575375,
747
42805.207324, 42813.839452, 42822.471758, 42831.104242, 42839.736905, 42848.369745, 42857.002764, 42865.635961,
748
42874.269336, 42882.902889, 42891.536620, 42900.170529, 42908.804616, 42917.438881, 42926.073323, 42934.707944,
749
42943.342743, 42951.977719, 42960.612873, 42969.248204, 42977.883714, 42986.519401, 42995.155266, 43003.791308,
750
43012.427528, 43021.063925, 43029.700500, 43038.337253, 43046.974183, 43055.611290, 43064.248575, 43072.886037,
751
43081.523676, 43090.161493, 43098.799486, 43107.437658, 43116.076006, 43124.714531, 43133.353234, 43141.992114,
752
43150.631170, 43159.270404, 43167.909815, 43176.549403, 43185.189168, 43193.829109, 43202.469228, 43211.109523,
753
43219.749995, 43228.390644, 43237.031470, 43245.672473, 43254.313652, 43262.955008, 43271.596540, 43280.238249,
754
43288.880135, 43297.522197, 43306.164436, 43314.806851, 43323.449442, 43332.092210, 43340.735155, 43349.378276,
755
43358.021573, 43366.665046, 43375.308696, 43383.952521, 43392.596524, 43401.240702, 43409.885056, 43418.529586,
756
43427.174293, 43435.819176, 43444.464234, 43453.109469, 43461.754879, 43470.400466, 43479.046228, 43487.692166,
757
43496.338280, 43504.984570, 43513.631035, 43522.277677, 43530.924493, 43539.571486, 43548.218654, 43556.865998,
758
43565.513518, 43574.161213, 43582.809083, 43591.457129, 43600.105351, 43608.753748, 43617.402320, 43626.051067,
759
43634.699990, 43643.349089, 43651.998362, 43660.647811, 43669.297435, 43677.947234, 43686.597208, 43695.247358,
760
43703.897682, 43712.548182, 43721.198856, 43729.849706, 43738.500731, 43747.151930, 43755.803304, 43764.454854,
761
43773.106578, 43781.758477, 43790.410550, 43799.062799, 43807.715222, 43816.367820, 43825.020592, 43833.673539,
762
43842.326661, 43850.979957, 43859.633428, 43868.287073, 43876.940893, 43885.594887, 43894.249056, 43902.903399,
763
43911.557917, 43920.212608, 43928.867474, 43937.522514, 43946.177729, 43954.833118, 43963.488681, 43972.144418,
764
43980.800329, 43989.456414, 43998.112673, 44006.769106, 44015.425714, 44024.082495, 44032.739450, 44041.396579,
765
44050.053882, 44058.711359, 44067.369009, 44076.026833, 44084.684831, 44093.343003, 44102.001349, 44110.659868,
766
44119.318561, 44127.977427, 44136.636467, 44145.295680, 44153.955067, 44162.614628, 44171.274362, 44179.934269,
767
44188.594350, 44197.254604, 44205.915031, 44214.575632, 44223.236406, 44231.897353, 44240.558473, 44249.219767,
768
44257.881233, 44266.542873, 44275.204686, 44283.866672, 44292.528831, 44301.191163, 44309.853668, 44318.516346,
769
44327.179196, 44335.842220, 44344.505416, 44353.168786, 44361.832328, 44370.496043, 44379.159930, 44387.823991,
770
44396.488223, 44405.152629, 44413.817207, 44422.481958, 44431.146881, 44439.811977, 44448.477245, 44457.142686,
771
44465.808299, 44474.474085, 44483.140043, 44491.806173, 44500.472476, 44509.138951, 44517.805598, 44526.472417,
772
44535.139409, 44543.806573, 44552.473908, 44561.141416, 44569.809096, 44578.476948, 44587.144973, 44595.813169,
773
44604.481537, 44613.150077, 44621.818788, 44630.487672, 44639.156728, 44647.825955, 44656.495354, 44665.164925,
774
44673.834668, 44682.504582, 44691.174668, 44699.844925, 44708.515355, 44717.185955, 44725.856728, 44734.527671,
775
44743.198787, 44751.870073, 44760.541531, 44769.213161, 44777.884962, 44786.556934, 44795.229078, 44803.901393,
776
44812.573879, 44821.246536, 44829.919364, 44838.592364, 44847.265535, 44855.938877, 44864.612390, 44873.286074,
777
44881.959929, 44890.633955, 44899.308152, 44907.982519, 44916.657058, 44925.331768, 44934.006648, 44942.681700,
778
44951.356922, 44960.032314, 44968.707878, 44977.383612, 44986.059517, 44994.735593, 45003.411839, 45012.088255,
779
45020.764843, 45029.441600, 45038.118529, 45046.795627, 45055.472896, 45064.150336, 45072.827946, 45081.505726,
780
45090.183677, 45098.861798, 45107.540089, 45116.218550, 45124.897182, 45133.575983, 45142.254955, 45150.934097,
781
45159.613409, 45168.292891, 45176.972543, 45185.652366, 45194.332358, 45203.012520, 45211.692852, 45220.373353,
782
45229.054025, 45237.734866, 45246.415878, 45255.097059, 45263.778410, 45272.459930, 45281.141620, 45289.823480,
783
45298.505509, 45307.187709, 45315.870077, 45324.552615, 45333.235323, 45341.918200, 45350.601247, 45359.284462,
784
45367.967848, 45376.651403, 45385.335127, 45394.019020, 45402.703083, 45411.387315, 45420.071716, 45428.756286,
785
45437.441025, 45446.125934, 45454.811012, 45463.496258, 45472.181674, 45480.867259, 45489.553013, 45498.238936,
786
45506.925028, 45515.611288, 45524.297718, 45532.984316, 45541.671083, 45550.358019, 45559.045124, 45567.732397,
787
45576.419840, 45585.107450, 45593.795230, 45602.483178, 45611.171295, 45619.859580, 45628.548034, 45637.236656,
788
45645.925447, 45654.614406, 45663.303534, 45671.992830, 45680.682294, 45689.371927, 45698.061728, 45706.751697,
789
45715.441835, 45724.132141, 45732.822615, 45741.513257, 45750.204067, 45758.895046, 45767.586192, 45776.277507,
790
45784.968989, 45793.660640, 45802.352458, 45811.044445, 45819.736599, 45828.428921, 45837.121412, 45845.814070,
791
45854.506895, 45863.199889, 45871.893050, 45880.586379, 45889.279876, 45897.973540, 45906.667372, 45915.361372,
792
45924.055539, 45932.749874, 45941.444376, 45950.139045, 45958.833883, 45967.528887, 45976.224059, 45984.919399,
793
45993.614905, 46002.310579, 46011.006421, 46019.702429, 46028.398605, 46037.094948, 46045.791458, 46054.488136,
794
46063.184980, 46071.881992, 46080.579171, 46089.276516, 46097.974029, 46106.671709, 46115.369556, 46124.067569,
795
46132.765750, 46141.464097, 46150.162611, 46158.861292, 46167.560140, 46176.259155, 46184.958336, 46193.657684,
796
46202.357199, 46211.056880, 46219.756728, 46228.456743, 46237.156924, 46245.857272, 46254.557786, 46263.258467,
797
46271.959314, 46280.660328, 46289.361508, 46298.062854, 46306.764367, 46315.466046, 46324.167891, 46332.869903,
798
46341.572081, 46350.274425, 46358.976935, 46367.679612, 46376.382454, 46385.085463, 46393.788638, 46402.491978,
799
46411.195485, 46419.899158, 46428.602997, 46437.307001, 46446.011172, 46454.715508, 46463.420011, 46472.124679,
800
46480.829513, 46489.534512, 46498.239678, 46506.945009, 46515.650506, 46524.356168, 46533.061996, 46541.767990,
801
46550.474149, 46559.180474, 46567.886964, 46576.593620, 46585.300442, 46594.007428, 46602.714581, 46611.421898,
802
46620.129381, 46628.837029, 46637.544843, 46646.252822, 46654.960966, 46663.669275, 46672.377749, 46681.086389,
803
46689.795194, 46698.504164, 46707.213299, 46715.922599, 46724.632064, 46733.341694, 46742.051489, 46750.761449,
804
46759.471574, 46768.181864, 46776.892319, 46785.602938, 46794.313722, 46803.024672, 46811.735785, 46820.447064,
805
46829.158507, 46837.870115, 46846.581888, 46855.293825, 46864.005927, 46872.718194, 46881.430625, 46890.143220,
806
46898.855980, 46907.568904, 46916.281993, 46924.995247, 46933.708664, 46942.422246, 46951.135993, 46959.849903,
807
46968.563978, 46977.278217, 46985.992621, 46994.707188, 47003.421920, 47012.136816, 47020.851876, 47029.567100,
808
47038.282488, 47046.998040, 47055.713756, 47064.429636, 47073.145680, 47081.861888, 47090.578260, 47099.294796,
809
47108.011495, 47116.728359, 47125.445386, 47134.162577, 47142.879932, 47151.597450, 47160.315132, 47169.032978,
810
47177.750987, 47186.469160, 47195.187496, 47203.905996, 47212.624660, 47221.343487, 47230.062478, 47238.781632,
811
47247.500949, 47256.220430, 47264.940074, 47273.659881, 47282.379852, 47291.099986, 47299.820283, 47308.540744,
812
47317.261368, 47325.982154, 47334.703104, 47343.424218, 47352.145494, 47360.866933, 47369.588536, 47378.310301,
813
47387.032229, 47395.754321, 47404.476575, 47413.198992, 47421.921572, 47430.644315, 47439.367220, 47448.090289,
814
47456.813520, 47465.536914, 47474.260471, 47482.984190, 47491.708073, 47500.432117, 47509.156325, 47517.880695,
815
47526.605227, 47535.329922, 47544.054780, 47552.779800, 47561.504982, 47570.230327, 47578.955835, 47587.681504,
816
47596.407336, 47605.133331, 47613.859487, 47622.585806, 47631.312288, 47640.038931, 47648.765737, 47657.492704,
817
47666.219834, 47674.947126, 47683.674580, 47692.402197, 47701.129975, 47709.857915, 47718.586017, 47727.314281,
818
47736.042707, 47744.771295, 47753.500045, 47762.228957, 47770.958031, 47779.687266, 47788.416663, 47797.146222,
819
47805.875943, 47814.605825, 47823.335869, 47832.066074, 47840.796442, 47849.526970, 47858.257661, 47866.988513,
820
47875.719526, 47884.450701, 47893.182037, 47901.913535, 47910.645194, 47919.377015, 47928.108997, 47936.841140,
821
47945.573445, 47954.305911, 47963.038538, 47971.771326, 47980.504275, 47989.237386, 47997.970658, 48006.704091,
822
48015.437685, 48024.171440, 48032.905356, 48041.639434, 48050.373672, 48059.108071, 48067.842631, 48076.577352,
823
48085.312234, 48094.047277, 48102.782480, 48111.517845, 48120.253370, 48128.989056, 48137.724902, 48146.460910,
824
48155.197078, 48163.933407, 48172.669896, 48181.406546, 48190.143356, 48198.880328, 48207.617459, 48216.354751,
825
48225.092204, 48233.829817, 48242.567590, 48251.305524, 48260.043618, 48268.781873, 48277.520288, 48286.258863,
826
48294.997599, 48303.736494, 48312.475550, 48321.214766, 48329.954143, 48338.693679, 48347.433376, 48356.173232,
827
48364.913249, 48373.653426, 48382.393762, 48391.134259, 48399.874916, 48408.615732, 48417.356709, 48426.097845,
828
48434.839142, 48443.580598, 48452.322214, 48461.063989, 48469.805925, 48478.548020, 48487.290275, 48496.032689,
829
48504.775264, 48513.517998, 48522.260891, 48531.003944, 48539.747157, 48548.490529, 48557.234060, 48565.977752,
830
48574.721602, 48583.465612, 48592.209782, 48600.954110, 48609.698598, 48618.443246, 48627.188053, 48635.933019,
831
48644.678144, 48653.423428, 48662.168872, 48670.914475, 48679.660237, 48688.406158, 48697.152238, 48705.898477,
832
48714.644876, 48723.391433, 48732.138150, 48740.885025, 48749.632059, 48758.379252, 48767.126604, 48775.874115,
833
48784.621785, 48793.369614, 48802.117601, 48810.865747, 48819.614052, 48828.362516, 48837.111138, 48845.859919,
834
48854.608859, 48863.357957, 48872.107214, 48880.856629, 48889.606203, 48898.355936, 48907.105827, 48915.855876,
835
48924.606084, 48933.356450, 48942.106975, 48950.857658, 48959.608499, 48968.359499, 48977.110657, 48985.861973,
836
48994.613448, 49003.365080, 49012.116871, 49020.868820, 49029.620928, 49038.373193, 49047.125616, 49055.878198,
837
49064.630937, 49073.383835, 49082.136890, 49090.890104, 49099.643475, 49108.397005, 49117.150692, 49125.904537,
838
49134.658540, 49143.412701, 49152.167019, 49160.921495, 49169.676129, 49178.430921, 49187.185871, 49195.940978,
839
49204.696243, 49213.451665, 49222.207245, 49230.962982, 49239.718877, 49248.474930, 49257.231140, 49265.987508,
840
49274.744033, 49283.500715, 49292.257555, 49301.014552, 49309.771707, 49318.529019, 49327.286488, 49336.044114,
841
49344.801898, 49353.559839, 49362.317937, 49371.076192, 49379.834604, 49388.593174, 49397.351900, 49406.110784,
842
49414.869825, 49423.629023, 49432.388377, 49441.147889, 49449.907558, 49458.667383, 49467.427366, 49476.187505,
843
49484.947801, 49493.708254, 49502.468864, 49511.229631, 49519.990554, 49528.751634, 49537.512871, 49546.274265,
844
49555.035815, 49563.797522, 49572.559385, 49581.321405, 49590.083581, 49598.845915, 49607.608404, 49616.371050,
845
49625.133853, 49633.896811, 49642.659927, 49651.423199, 49660.186627, 49668.950211, 49677.713952, 49686.477849,
846
49695.241902, 49704.006112, 49712.770477, 49721.534999, 49730.299677, 49739.064511, 49747.829502, 49756.594648,
847
49765.359951, 49774.125409, 49782.891024, 49791.656794, 49800.422721, 49809.188803, 49817.955042, 49826.721436,
848
49835.487986, 49844.254692, 49853.021554, 49861.788572, 49870.555745, 49879.323074, 49888.090559, 49896.858200,
849
49905.625996, 49914.393948, 49923.162055, 49931.930318, 49940.698737, 49949.467311, 49958.236041, 49967.004927,
850
49975.773967, 49984.543164, 49993.312515, 50002.082022, 50010.851685, 50019.621503, 50028.391476, 50037.161605,
851
50045.931888, 50054.702327, 50063.472922, 50072.243671, 50081.014576, 50089.785636, 50098.556851, 50107.328221,
852
50116.099747, 50124.871427, 50133.643262, 50142.415253, 50151.187398, 50159.959699, 50168.732154, 50177.504764,
853
50186.277529, 50195.050450, 50203.823525, 50212.596754, 50221.370139, 50230.143678, 50238.917372, 50247.691221,
854
50256.465225, 50265.239383, 50274.013696, 50282.788164, 50291.562786, 50300.337563, 50309.112494, 50317.887580,
855
50326.662821, 50335.438216, 50344.213765, 50352.989469, 50361.765327, 50370.541340, 50379.317507, 50388.093828,
856
50396.870304, 50405.646934, 50414.423719, 50423.200657, 50431.977750, 50440.754997, 50449.532399, 50458.309954,
857
50467.087664, 50475.865527, 50484.643545, 50493.421717, 50502.200043, 50510.978523, 50519.757157, 50528.535945,
858
50537.314887, 50546.093983, 50554.873232, 50563.652636, 50572.432193, 50581.211905, 50589.991770, 50598.771789,
859
50607.551961, 50616.332288, 50625.112768, 50633.893402, 50642.674189, 50651.455130, 50660.236225, 50669.017473,
860
50677.798875, 50686.580431, 50695.362140, 50704.144002, 50712.926018, 50721.708187, 50730.490510, 50739.272987,
861
50748.055616, 50756.838399, 50765.621336, 50774.404425, 50783.187668, 50791.971064, 50800.754614, 50809.538317,
862
50818.322173, 50827.106182, 50835.890344, 50844.674659, 50853.459128, 50862.243749, 50871.028524, 50879.813451,
863
50888.598532, 50897.383766, 50906.169152, 50914.954692, 50923.740384, 50932.526230, 50941.312228, 50950.098379,
864
50958.884683, 50967.671139, 50976.457749, 50985.244511, 50994.031426, 51002.818494, 51011.605714, 51020.393087,
865
51029.180613, 51037.968291, 51046.756122, 51055.544105, 51064.332241, 51073.120529, 51081.908970, 51090.697564,
866
51099.486310, 51108.275208, 51117.064259, 51125.853462, 51134.642817, 51143.432325, 51152.221985, 51161.011798,
867
51169.801762, 51178.591879, 51187.382148, 51196.172569, 51204.963143, 51213.753869, 51222.544746, 51231.335776,
868
51240.126958, 51248.918292, 51257.709778, 51266.501416, 51275.293206, 51284.085148, 51292.877242, 51301.669488,
869
51310.461886, 51319.254435, 51328.047137, 51336.839990, 51345.632995, 51354.426152, 51363.219461, 51372.012921,
870
51380.806533, 51389.600297, 51398.394212, 51407.188279, 51415.982498, 51424.776868, 51433.571390, 51442.366064,
871
51451.160889, 51459.955865, 51468.750993, 51477.546272, 51486.341703, 51495.137285, 51503.933019, 51512.728904,
872
51521.524940, 51530.321128, 51539.117467, 51547.913957, 51556.710598, 51565.507391, 51574.304335, 51583.101430,
873
51591.898676, 51600.696074, 51609.493622, 51618.291322, 51627.089172, 51635.887174, 51644.685327, 51653.483631,
874
51662.282085, 51671.080691, 51679.879447, 51688.678355, 51697.477413, 51706.276623, 51715.075983, 51723.875494,
875
51732.675155, 51741.474968, 51750.274931, 51759.075045, 51767.875310, 51776.675725, 51785.476291, 51794.277007,
876
51803.077875, 51811.878893, 51820.680061, 51829.481380, 51838.282849, 51847.084469, 51855.886240, 51864.688161,
877
51873.490232, 51882.292454, 51891.094826, 51899.897348, 51908.700021, 51917.502844, 51926.305818, 51935.108942,
878
51943.912216, 51952.715640, 51961.519214, 51970.322939, 51979.126814, 51987.930838, 51996.735013, 52005.539339,
879
52014.343814, 52023.148439, 52031.953214, 52040.758140, 52049.563215, 52058.368440, 52067.173815, 52075.979340,
880
52084.785015, 52093.590840, 52102.396815, 52111.202939, 52120.009213, 52128.815637, 52137.622211, 52146.428935,
881
52155.235808, 52164.042831, 52172.850004, 52181.657326, 52190.464798, 52199.272419, 52208.080190, 52216.888111,
882
52225.696181, 52234.504401, 52243.312770, 52252.121289, 52260.929957, 52269.738774, 52278.547741, 52287.356857,
883
52296.166123, 52304.975538, 52313.785102, 52322.594816, 52331.404678, 52340.214690, 52349.024852, 52357.835162,
884
52366.645622, 52375.456231, 52384.266989, 52393.077896, 52401.888952, 52410.700157, 52419.511511, 52428.323014,
885
52437.134667, 52445.946468, 52454.758418, 52463.570517, 52472.382765, 52481.195162, 52490.007708, 52498.820402,
886
52507.633246, 52516.446238, 52525.259379, 52534.072669, 52542.886107, 52551.699695, 52560.513430, 52569.327315,
887
52578.141348, 52586.955530, 52595.769860, 52604.584339, 52613.398967, 52622.213743, 52631.028668, 52639.843741,
888
52648.658962, 52657.474332, 52666.289851, 52675.105518, 52683.921333, 52692.737296, 52701.553408, 52710.369668,
889
52719.186077, 52728.002634, 52736.819339, 52745.636192, 52754.453193, 52763.270343, 52772.087641, 52780.905087,
890
52789.722681, 52798.540423, 52807.358313, 52816.176351, 52824.994538, 52833.812872, 52842.631354, 52851.449984,
891
52860.268763, 52869.087689, 52877.906763, 52886.725985, 52895.545354, 52904.364872, 52913.184537, 52922.004350,
892
52930.824311, 52939.644420, 52948.464676, 52957.285080, 52966.105632, 52974.926331, 52983.747178, 52992.568173,
893
53001.389315, 53010.210605, 53019.032042, 53027.853627, 53036.675360, 53045.497240, 53054.319267, 53063.141442,
894
53071.963764, 53080.786233, 53089.608850, 53098.431615, 53107.254526, 53116.077585, 53124.900791, 53133.724145,
895
53142.547646, 53151.371294, 53160.195089, 53169.019031, 53177.843121, 53186.667357, 53195.491741, 53204.316272,
896
53213.140950, 53221.965775, 53230.790747, 53239.615866, 53248.441131, 53257.266544, 53266.092104, 53274.917811,
897
53283.743665, 53292.569665, 53301.395813, 53310.222107, 53319.048548, 53327.875136, 53336.701870, 53345.528752,
898
53354.355780, 53363.182955, 53372.010276, 53380.837744, 53389.665359, 53398.493120, 53407.321028, 53416.149083,
899
53424.977284, 53433.805631, 53442.634126, 53451.462766, 53460.291553, 53469.120487, 53477.949567, 53486.778793,
900
53495.608166, 53504.437685, 53513.267350, 53522.097162, 53530.927120, 53539.757224, 53548.587475, 53557.417872,
901
53566.248415, 53575.079104, 53583.909939, 53592.740921, 53601.572049, 53610.403322, 53619.234742, 53628.066308,
902
53636.898020, 53645.729878, 53654.561882, 53663.394032, 53672.226328, 53681.058769, 53689.891357, 53698.724091,
903
53707.556970, 53716.389995, 53725.223167, 53734.056483, 53742.889946, 53751.723555, 53760.557309, 53769.391209,
904
53778.225254, 53787.059446, 53795.893783, 53804.728265, 53813.562894, 53822.397667, 53831.232587, 53840.067652,
905
53848.902862, 53857.738218, 53866.573720, 53875.409367, 53884.245159, 53893.081097, 53901.917180, 53910.753408,
906
53919.589782, 53928.426302, 53937.262966, 53946.099776, 53954.936731, 53963.773832, 53972.611077, 53981.448468,
907
53990.286004, 53999.123685, 54007.961512, 54016.799483, 54025.637600, 54034.475862, 54043.314268, 54052.152820,
908
54060.991517, 54069.830359, 54078.669346, 54087.508477, 54096.347754, 54105.187176, 54114.026742, 54122.866453,
909
54131.706310, 54140.546311, 54149.386457, 54158.226747, 54167.067183, 54175.907763, 54184.748488, 54193.589357,
910
54202.430372, 54211.271531, 54220.112834, 54228.954283, 54237.795875, 54246.637613, 54255.479495, 54264.321521,
911
54273.163692, 54282.006008, 54290.848468, 54299.691073, 54308.533821, 54317.376715, 54326.219753, 54335.062935,
912
54343.906261, 54352.749732, 54361.593347, 54370.437106, 54379.281010, 54388.125058, 54396.969250, 54405.813586,
913
54414.658067, 54423.502692, 54432.347460, 54441.192373, 54450.037430, 54458.882631, 54467.727977, 54476.573466,
914
54485.419099, 54494.264876, 54503.110798, 54511.956863, 54520.803072, 54529.649425, 54538.495922, 54547.342563,
915
54556.189347, 54565.036276, 54573.883348, 54582.730564, 54591.577924, 54600.425428, 54609.273075, 54618.120866,
916
54626.968801, 54635.816879, 54644.665102, 54653.513467, 54662.361977, 54671.210629, 54680.059426, 54688.908366,
917
54697.757449, 54706.606676, 54715.456047, 54724.305561, 54733.155218, 54742.005019, 54750.854963, 54759.705051,
918
54768.555282, 54777.405656, 54786.256174, 54795.106835, 54803.957639, 54812.808586, 54821.659677, 54830.510911,
919
54839.362288, 54848.213808, 54857.065472, 54865.917278, 54874.769228, 54883.621321, 54892.473557, 54901.325936,
920
54910.178457, 54919.031122, 54927.883930, 54936.736881, 54945.589975, 54954.443212, 54963.296591, 54972.150114,
921
54981.003779, 54989.857588, 54998.711539, 55007.565633, 55016.419869, 55025.274249, 55034.128771, 55042.983436,
922
55051.838244, 55060.693194, 55069.548287, 55078.403523, 55087.258901, 55096.114422, 55104.970085, 55113.825891,
923
55122.681840, 55131.537931, 55140.394164, 55149.250540, 55158.107059, 55166.963720, 55175.820523, 55184.677469,
924
55193.534557, 55202.391787, 55211.249160, 55220.106675, 55228.964333, 55237.822133, 55246.680075, 55255.538159,
925
55264.396385, 55273.254754, 55282.113265, 55290.971918, 55299.830713, 55308.689650, 55317.548729, 55326.407951,
926
55335.267314, 55344.126820, 55352.986467, 55361.846257, 55370.706188, 55379.566261, 55388.426477, 55397.286834,
927
55406.147333, 55415.007974, 55423.868757, 55432.729682, 55441.590749, 55450.451957, 55459.313307, 55468.174799,
928
55477.036432, 55485.898208, 55494.760125, 55503.622183, 55512.484384, 55521.346726, 55530.209209, 55539.071834,
929
55547.934601, 55556.797509, 55565.660559, 55574.523751, 55583.387083, 55592.250558, 55601.114174, 55609.977931,
930
55618.841829, 55627.705869, 55636.570051, 55645.434373, 55654.298837, 55663.163443, 55672.028190, 55680.893077,
931
55689.758107, 55698.623277, 55707.488589, 55716.354042, 55725.219636, 55734.085371, 55742.951247, 55751.817264,
932
55760.683423, 55769.549722, 55778.416163, 55787.282745, 55796.149467, 55805.016331, 55813.883336, 55822.750481,
933
55831.617768, 55840.485195, 55849.352764, 55858.220473, 55867.088323, 55875.956314, 55884.824445, 55893.692718,
934
55902.561131, 55911.429685, 55920.298380, 55929.167216, 55938.036192, 55946.905309, 55955.774566, 55964.643964,
935
55973.513503, 55982.383182, 55991.253002, 56000.122963, 56008.993064, 56017.863305, 56026.733688, 56035.604210,
936
56044.474873, 56053.345677, 56062.216620, 56071.087705, 56079.958929, 56088.830294, 56097.701800, 56106.573445,
937
56115.445231, 56124.317158, 56133.189224, 56142.061431, 56150.933778, 56159.806265, 56168.678892, 56177.551660,
938
56186.424568, 56195.297615, 56204.170803, 56213.044131, 56221.917599, 56230.791207, 56239.664956, 56248.538844,
939
56257.412872, 56266.287040, 56275.161348, 56284.035796, 56292.910384, 56301.785112, 56310.659979, 56319.534987,
940
56328.410134, 56337.285421, 56346.160848, 56355.036415, 56363.912121, 56372.787967, 56381.663953, 56390.540079,
941
56399.416344, 56408.292749, 56417.169294, 56426.045978, 56434.922801, 56443.799765, 56452.676868, 56461.554110,
942
56470.431492, 56479.309014, 56488.186674, 56497.064475, 56505.942415, 56514.820494, 56523.698713, 56532.577071,
943
56541.455568, 56550.334205, 56559.212981, 56568.091896, 56576.970951, 56585.850145, 56594.729478, 56603.608950,
944
56612.488562, 56621.368313, 56630.248203, 56639.128232, 56648.008400, 56656.888708, 56665.769154, 56674.649740,
945
56683.530464, 56692.411328, 56701.292330, 56710.173472, 56719.054753, 56727.936172, 56736.817731, 56745.699428,
946
56754.581264, 56763.463239, 56772.345354, 56781.227606, 56790.109998, 56798.992529, 56807.875198, 56816.758006,
947
56825.640953, 56834.524038, 56843.407263, 56852.290625, 56861.174127, 56870.057767, 56878.941546, 56887.825464,
948
56896.709520, 56905.593714, 56914.478047, 56923.362519, 56932.247129, 56941.131878, 56950.016765, 56958.901791,
949
56967.786955, 56976.672258, 56985.557699, 56994.443278, 57003.328995, 57012.214851, 57021.100846, 57029.986978,
950
57038.873249, 57047.759658, 57056.646206, 57065.532892, 57074.419715, 57083.306677, 57092.193778, 57101.081016,
951
57109.968392, 57118.855907, 57127.743560, 57136.631350, 57145.519279, 57154.407346, 57163.295551, 57172.183894,
952
57181.072375, 57189.960994, 57198.849750, 57207.738645, 57216.627678, 57225.516848, 57234.406156, 57243.295602,
953
57252.185186, 57261.074908, 57269.964768, 57278.854765, 57287.744900, 57296.635173, 57305.525584, 57314.416132,
954
57323.306818, 57332.197641, 57341.088603, 57349.979702, 57358.870938, 57367.762312, 57376.653824, 57385.545473,
955
57394.437259, 57403.329183, 57412.221245, 57421.113444, 57430.005781, 57438.898255, 57447.790866, 57456.683615,
956
57465.576501, 57474.469524, 57483.362685, 57492.255983, 57501.149419, 57510.042992, 57518.936702, 57527.830549,
957
57536.724533, 57545.618655, 57554.512914, 57563.407310, 57572.301843, 57581.196513, 57590.091320, 57598.986265,
958
57607.881346, 57616.776565, 57625.671921, 57634.567413, 57643.463043, 57652.358809, 57661.254713, 57670.150754,
959
57679.046931, 57687.943245, 57696.839696, 57705.736285, 57714.633009, 57723.529871, 57732.426870, 57741.324005,
960
57750.221277, 57759.118686, 57768.016232, 57776.913914, 57785.811733, 57794.709689, 57803.607781, 57812.506010,
961
57821.404376, 57830.302878, 57839.201517, 57848.100292, 57856.999204, 57865.898252, 57874.797437, 57883.696759,
962
57892.596217, 57901.495811, 57910.395542, 57919.295409, 57928.195413, 57937.095553, 57945.995829, 57954.896242,
963
57963.796791, 57972.697476, 57981.598298, 57990.499255, 57999.400350, 58008.301580, 58017.202946, 58026.104449,
964
58035.006088, 58043.907863, 58052.809774, 58061.711822, 58070.614005, 58079.516325, 58088.418780, 58097.321372,
965
58106.224100, 58115.126963, 58124.029963, 58132.933099, 58141.836370, 58150.739778, 58159.643321, 58168.547001,
966
58177.450816, 58186.354767, 58195.258854, 58204.163076, 58213.067435, 58221.971929, 58230.876559, 58239.781325,
967
58248.686227, 58257.591264, 58266.496437, 58275.401746, 58284.307190, 58293.212770, 58302.118486, 58311.024337,
968
58319.930324, 58328.836446, 58337.742704, 58346.649097, 58355.555626, 58364.462291, 58373.369090, 58382.276026,
969
58391.183097, 58400.090303, 58408.997644, 58417.905121, 58426.812734, 58435.720481, 58444.628364, 58453.536383,
970
58462.444536, 58471.352825, 58480.261249, 58489.169809, 58498.078503, 58506.987333, 58515.896298, 58524.805398,
971
58533.714633, 58542.624004, 58551.533509, 58560.443150, 58569.352926, 58578.262836, 58587.172882, 58596.083063,
972
58604.993379, 58613.903829, 58622.814415, 58631.725136, 58640.635991, 58649.546982, 58658.458107, 58667.369368,
973
58676.280763, 58685.192293, 58694.103957, 58703.015757, 58711.927691, 58720.839760, 58729.751964, 58738.664303,
974
58747.576776, 58756.489384, 58765.402127, 58774.315004, 58783.228016, 58792.141162, 58801.054444, 58809.967859,
975
58818.881410, 58827.795094, 58836.708914, 58845.622868, 58854.536956, 58863.451179, 58872.365536, 58881.280028,
976
58890.194654, 58899.109414, 58908.024309, 58916.939339, 58925.854502, 58934.769800, 58943.685232, 58952.600799,
977
58961.516500, 58970.432335, 58979.348304, 58988.264408, 58997.180645, 59006.097017, 59015.013523, 59023.930164,
978
59032.846938, 59041.763846, 59050.680889, 59059.598066, 59068.515376, 59077.432821, 59086.350400, 59095.268113,
979
59104.185959, 59113.103940, 59122.022055, 59130.940303, 59139.858686, 59148.777202, 59157.695852, 59166.614637,
980
59175.533555, 59184.452606, 59193.371792, 59202.291111, 59211.210565, 59220.130151, 59229.049872, 59237.969726,
981
59246.889715, 59255.809836, 59264.730092, 59273.650481, 59282.571003, 59291.491660, 59300.412450, 59309.333373,
982
59318.254430, 59327.175621, 59336.096945, 59345.018402, 59353.939993, 59362.861718, 59371.783576, 59380.705567,
983
59389.627692, 59398.549950, 59407.472342, 59416.394867, 59425.317525, 59434.240317, 59443.163242, 59452.086300,
984
59461.009491, 59469.932816, 59478.856274, 59487.779865, 59496.703590, 59505.627447, 59514.551438, 59523.475562,
985
59532.399819, 59541.324209, 59550.248732, 59559.173389, 59568.098178, 59577.023100, 59585.948156, 59594.873344,
986
59603.798666, 59612.724120, 59621.649707, 59630.575428, 59639.501281, 59648.427267, 59657.353386, 59666.279638,
987
59675.206023, 59684.132540, 59693.059190, 59701.985973, 59710.912889, 59719.839938, 59728.767119, 59737.694433,
988
59746.621880, 59755.549460, 59764.477172, 59773.405017, 59782.332994, 59791.261104, 59800.189347, 59809.117722,
989
59818.046230, 59826.974870, 59835.903643, 59844.832549, 59853.761587, 59862.690757, 59871.620060, 59880.549495,
990
59889.479063, 59898.408763, 59907.338596, 59916.268560, 59925.198658, 59934.128887, 59943.059249, 59951.989743,
991
59960.920370, 59969.851128, 59978.782019, 59987.713043, 59996.644198, 60005.575486, 60014.506906, 60023.438458,
992
60032.370142, 60041.301958, 60050.233906, 60059.165987, 60068.098199, 60077.030544, 60085.963020, 60094.895629,
993
60103.828370, 60112.761242, 60121.694247, 60130.627383, 60139.560652, 60148.494052, 60157.427585, 60166.361249,
994
60175.295045, 60184.228973, 60193.163032, 60202.097224, 60211.031547, 60219.966002, 60228.900589, 60237.835308,
995
60246.770158, 60255.705140, 60264.640254, 60273.575499, 60282.510876, 60291.446385, 60300.382025, 60309.317797,
996
60318.253701, 60327.189736, 60336.125903, 60345.062201, 60353.998631, 60362.935192, 60371.871884, 60380.808709,
997
60389.745664, 60398.682751, 60407.619970, 60416.557320, 60425.494801, 60434.432413, 60443.370157, 60452.308033,
998
60461.246039, 60470.184177, 60479.122446, 60488.060847, 60496.999378, 60505.938041, 60514.876835, 60523.815760,
999
60532.754817, 60541.694005, 60550.633323, 60559.572773, 60568.512354, 60577.452066, 60586.391909, 60595.331883,
1000
60604.271989, 60613.212225, 60622.152592, 60631.093090, 60640.033720, 60648.974480, 60657.915371, 60666.856393,
1001
60675.797546, 60684.738829, 60693.680244, 60702.621789, 60711.563466, 60720.505273, 60729.447211, 60738.389279,
1002
60747.331479, 60756.273809, 60765.216270, 60774.158862, 60783.101584, 60792.044437, 60800.987421, 60809.930535,
1003
60818.873780, 60827.817155, 60836.760662, 60845.704298, 60854.648066, 60863.591963, 60872.535992, 60881.480151,
1004
60890.424440, 60899.368860, 60908.313410, 60917.258091, 60926.202902, 60935.147843, 60944.092915, 60953.038117,
1005
60961.983450, 60970.928913, 60979.874506, 60988.820230, 60997.766084, 61006.712068, 61015.658182, 61024.604427,
1006
61033.550802, 61042.497307, 61051.443942, 61060.390707, 61069.337603, 61078.284628, 61087.231784, 61096.179070,
1007
61105.126486, 61114.074032, 61123.021708, 61131.969514, 61140.917450, 61149.865516, 61158.813712, 61167.762038,
1008
61176.710494, 61185.659080, 61194.607796, 61203.556642, 61212.505618, 61221.454723, 61230.403958, 61239.353323,
1009
61248.302818, 61257.252443, 61266.202198, 61275.152082, 61284.102096, 61293.052240, 61302.002513, 61310.952916,
1010
61319.903449, 61328.854112, 61337.804904, 61346.755826, 61355.706877, 61364.658058, 61373.609369, 61382.560809,
1011
61391.512378, 61400.464077, 61409.415906, 61418.367864, 61427.319952, 61436.272169, 61445.224516, 61454.176992,
1012
61463.129597, 61472.082332, 61481.035196, 61489.988189, 61498.941312, 61507.894564, 61516.847946, 61525.801457,
1013
61534.755097, 61543.708866, 61552.662764, 61561.616792, 61570.570949, 61579.525235, 61588.479651, 61597.434195,
1014
61606.388869, 61615.343672, 61624.298603, 61633.253664, 61642.208854, 61651.164173, 61660.119622, 61669.075199,
1015
61678.030905, 61686.986740, 61695.942704, 61704.898797, 61713.855019, 61722.811370, 61731.767850, 61740.724459,
1016
61749.681196, 61758.638063, 61767.595058, 61776.552182, 61785.509435, 61794.466817, 61803.424327, 61812.381967,
1017
61821.339735, 61830.297631, 61839.255657, 61848.213811, 61857.172094, 61866.130505, 61875.089045, 61884.047714,
1018
61893.006512, 61901.965437, 61910.924492, 61919.883675, 61928.842987, 61937.802427, 61946.761995, 61955.721693,
1019
61964.681518, 61973.641472, 61982.601555, 61991.561766, 62000.522105, 62009.482573, 62018.443169, 62027.403894,
1020
62036.364746, 62045.325728, 62054.286837, 62063.248075, 62072.209441, 62081.170935, 62090.132558, 62099.094309,
1021
62108.056188, 62117.018195, 62125.980330, 62134.942594, 62143.904985, 62152.867505, 62161.830153, 62170.792929,
1022
62179.755833, 62188.718866, 62197.682026, 62206.645314, 62215.608730, 62224.572275, 62233.535947, 62242.499747,
1023
62251.463675, 62260.427732, 62269.391916, 62278.356228, 62287.320667, 62296.285235, 62305.249931, 62314.214754,
1024
62323.179705, 62332.144784, 62341.109991, 62350.075326, 62359.040788, 62368.006378, 62376.972096, 62385.937941,
1025
62394.903915, 62403.870015, 62412.836244, 62421.802600, 62430.769084, 62439.735695, 62448.702434, 62457.669301,
1026
62466.636295, 62475.603416, 62484.570666, 62493.538042, 62502.505547, 62511.473178, 62520.440937, 62529.408824,
1027
62538.376838, 62547.344979, 62556.313248, 62565.281644, 62574.250168, 62583.218819, 62592.187597, 62601.156503,
1028
62610.125535, 62619.094696, 62628.063983, 62637.033398, 62646.002940, 62654.972609, 62663.942405, 62672.912328,
1029
62681.882379, 62690.852557, 62699.822862, 62708.793294, 62717.763853, 62726.734539, 62735.705353, 62744.676293,
1030
62753.647361, 62762.618555, 62771.589876, 62780.561325, 62789.532900, 62798.504603, 62807.476432, 62816.448388,
1031
62825.420472, 62834.392682, 62843.365019, 62852.337482, 62861.310073, 62870.282791, 62879.255635, 62888.228606,
1032
62897.201704, 62906.174929, 62915.148280, 62924.121758, 62933.095363, 62942.069095, 62951.042953, 62960.016938,
1033
62968.991049, 62977.965288, 62986.939652, 62995.914144, 63004.888762, 63013.863507, 63022.838378, 63031.813375,
1034
63040.788500, 63049.763750, 63058.739128, 63067.714631, 63076.690262, 63085.666018, 63094.641901, 63103.617911,
1035
63112.594047, 63121.570309, 63130.546697, 63139.523212, 63148.499854, 63157.476621, 63166.453515, 63175.430535,
1036
63184.407682, 63193.384955, 63202.362354, 63211.339879, 63220.317530, 63229.295308, 63238.273212, 63247.251242,
1037
63256.229398, 63265.207680, 63274.186088, 63283.164623, 63292.143283, 63301.122070, 63310.100982, 63319.080021,
1038
63328.059186, 63337.038476, 63346.017893, 63354.997435, 63363.977104, 63372.956898, 63381.936819, 63390.916865,
1039
63399.897037, 63408.877335, 63417.857759, 63426.838309, 63435.818985, 63444.799786, 63453.780713, 63462.761766,
1040
63471.742945, 63480.724250, 63489.705680, 63498.687236, 63507.668917, 63516.650725, 63525.632658, 63534.614716,
1041
63543.596901, 63552.579211, 63561.561646, 63570.544207, 63579.526894, 63588.509706, 63597.492644, 63606.475707,
1042
63615.458896, 63624.442210, 63633.425650, 63642.409215, 63651.392906, 63660.376722, 63669.360664, 63678.344730,
1043
63687.328923, 63696.313240, 63705.297684, 63714.282252, 63723.266946, 63732.251765, 63741.236709, 63750.221778,
1044
63759.206973, 63768.192293, 63777.177739, 63786.163309, 63795.149005, 63804.134826, 63813.120772, 63822.106843,
1045
63831.093039, 63840.079361, 63849.065807, 63858.052379, 63867.039075, 63876.025897, 63885.012844, 63893.999916,
1046
63902.987113, 63911.974434, 63920.961881, 63929.949453, 63938.937150, 63947.924971, 63956.912918, 63965.900989,
1047
63974.889186, 63983.877507, 63992.865953, 64001.854524, 64010.843219, 64019.832040, 64028.820985, 64037.810055,
1048
64046.799250, 64055.788570, 64064.778014, 64073.767583, 64082.757277, 64091.747095, 64100.737038, 64109.727106,
1049
64118.717298, 64127.707615, 64136.698057, 64145.688623, 64154.679313, 64163.670129, 64172.661069, 64181.652133,
1050
64190.643322, 64199.634635, 64208.626073, 64217.617635, 64226.609322, 64235.601133, 64244.593069, 64253.585129,
1051
64262.577313, 64271.569622, 64280.562055, 64289.554612, 64298.547294, 64307.540100, 64316.533030, 64325.526085,
1052
64334.519264, 64343.512567, 64352.505994, 64361.499546, 64370.493222, 64379.487022, 64388.480946, 64397.474994,
1053
64406.469167, 64415.463463, 64424.457884, 64433.452429, 64442.447097, 64451.441890, 64460.436807, 64469.431848,
1054
64478.427013, 64487.422302, 64496.417715, 64505.413252, 64514.408913, 64523.404698, 64532.400607, 64541.396639,
1055
64550.392796, 64559.389076, 64568.385481, 64577.382009, 64586.378661, 64595.375437, 64604.372336, 64613.369360,
1056
64622.366507, 64631.363778, 64640.361172, 64649.358691, 64658.356333, 64667.354098, 64676.351988, 64685.350001,
1057
64694.348138, 64703.346398, 64712.344782, 64721.343290, 64730.341921, 64739.340676, 64748.339554, 64757.338556,
1058
64766.337681, 64775.336930, 64784.336303, 64793.335799, 64802.335418, 64811.335161, 64820.335027, 64829.335016,
1059
64838.335130, 64847.335366, 64856.335726, 64865.336209, 64874.336815, 64883.337545, 64892.338398, 64901.339375,
1060
64910.340475, 64919.341698, 64928.343044, 64937.344513, 64946.346106, 64955.347822, 64964.349661, 64973.351623,
1061
64982.353709, 64991.355917, 65000.358249, 65009.360704, 65018.363282, 65027.365983, 65036.368807, 65045.371754,
1062
65054.374824, 65063.378017, 65072.381334, 65081.384773, 65090.388335, 65099.392020, 65108.395828, 65117.399759,
1063
65126.403813, 65135.407990, 65144.412290, 65153.416712, 65162.421258, 65171.425926, 65180.430717, 65189.435631,
1064
65198.440668, 65207.445827, 65216.451110, 65225.456515, 65234.462042, 65243.467693, 65252.473466, 65261.479362,
1065
65270.485381, 65279.491522, 65288.497786, 65297.504172, 65306.510681, 65315.517313, 65324.524067, 65333.530944,
1066
65342.537944, 65351.545066, 65360.552310, 65369.559677, 65378.567167, 65387.574779, 65396.582513, 65405.590370,
1067
65414.598350, 65423.606451, 65432.614676, 65441.623022, 65450.631491, 65459.640082, 65468.648796, 65477.657632,
1068
65486.666590, 65495.675671, 65504.684874, 65513.694199, 65522.703647, 65531.713216, 65540.722908, 65549.732722,
1069
65558.742659, 65567.752717, 65576.762898, 65585.773200, 65594.783625, 65603.794172, 65612.804842, 65621.815633,
1070
65630.826546, 65639.837582, 65648.848739, 65657.860019, 65666.871420, 65675.882944, 65684.894589, 65693.906357,
1071
65702.918246, 65711.930257, 65720.942391, 65729.954646, 65738.967023, 65747.979522, 65756.992143, 65766.004886,
1072
65775.017750, 65784.030737, 65793.043845, 65802.057075, 65811.070427, 65820.083900, 65829.097495, 65838.111213,
1073
65847.125051, 65856.139012, 65865.153094, 65874.167298, 65883.181623, 65892.196070, 65901.210639, 65910.225329,
1074
65919.240141, 65928.255075, 65937.270130, 65946.285307, 65955.300605, 65964.316025, 65973.331566, 65982.347229,
1075
65991.363013, 66000.378919, 66009.394946, 66018.411095, 66027.427365, 66036.443756, 66045.460269, 66054.476904,
1076
66063.493659, 66072.510536, 66081.527534, 66090.544654, 66099.561895, 66108.579257, 66117.596741, 66126.614346,
1077
66135.632072, 66144.649919, 66153.667887, 66162.685977, 66171.704188, 66180.722520, 66189.740973, 66198.759548,
1078
66207.778243, 66216.797060, 66225.815997, 66234.835056, 66243.854236, 66252.873537, 66261.892959, 66270.912502,
1079
66279.932166, 66288.951951, 66297.971857, 66306.991884, 66316.012032, 66325.032301, 66334.052690, 66343.073201,
1080
66352.093833, 66361.114585, 66370.135459, 66379.156453, 66388.177568, 66397.198804, 66406.220160, 66415.241638,
1081
66424.263236, 66433.284955, 66442.306795, 66451.328755, 66460.350837, 66469.373038, 66478.395361, 66487.417804,
1082
66496.440368, 66505.463053, 66514.485858, 66523.508784, 66532.531831, 66541.554998, 66550.578285, 66559.601693,
1083
66568.625222, 66577.648871, 66586.672641, 66595.696532, 66604.720542, 66613.744674, 66622.768925, 66631.793298,
1084
66640.817790, 66649.842403, 66658.867137, 66667.891990, 66676.916965, 66685.942059, 66694.967274, 66703.992609,
1085
66713.018065, 66722.043641, 66731.069337, 66740.095153, 66749.121090, 66758.147147, 66767.173324, 66776.199621,
1086
66785.226039, 66794.252576, 66803.279234, 66812.306012, 66821.332911, 66830.359929, 66839.387067, 66848.414326,
1087
66857.441704, 66866.469203, 66875.496822, 66884.524561, 66893.552419, 66902.580398, 66911.608497, 66920.636716,
1088
66929.665055, 66938.693513, 66947.722092, 66956.750791, 66965.779609, 66974.808547, 66983.837606, 66992.866784,
1089
67001.896082, 67010.925500, 67019.955037, 67028.984695, 67038.014472, 67047.044369, 67056.074386, 67065.104522,
1090
67074.134779, 67083.165155, 67092.195651, 67101.226266, 67110.257001, 67119.287856, 67128.318830, 67137.349924,
1091
67146.381138, 67155.412471, 67164.443924, 67173.475497, 67182.507189, 67191.539001, 67200.570932, 67209.602982,
1092
67218.635153, 67227.667442, 67236.699851, 67245.732380, 67254.765028, 67263.797796, 67272.830683, 67281.863689,
1093
67290.896815, 67299.930060, 67308.963424, 67317.996908, 67327.030511, 67336.064234, 67345.098076, 67354.132037,
1094
67363.166117, 67372.200317, 67381.234636, 67390.269074, 67399.303631, 67408.338308, 67417.373104, 67426.408019,
1095
67435.443053, 67444.478206, 67453.513479, 67462.548870, 67471.584381, 67480.620011, 67489.655760, 67498.691628,
1096
67507.727615, 67516.763721, 67525.799946, 67534.836290, 67543.872753, 67552.909335, 67561.946036, 67570.982856,
1097
67580.019795, 67589.056853, 67598.094029, 67607.131325, 67616.168739, 67625.206273, 67634.243925, 67643.281696,
1098
67652.319586, 67661.357595, 67670.395722, 67679.433969, 67688.472334, 67697.510818, 67706.549420, 67715.588142,
1099
67724.626982, 67733.665941, 67742.705018, 67751.744214, 67760.783529, 67769.822962, 67778.862514, 67787.902185,
1100
67796.941974, 67805.981882, 67815.021909, 67824.062054, 67833.102317, 67842.142699, 67851.183200, 67860.223819,
1101
67869.264556, 67878.305413, 67887.346387, 67896.387480, 67905.428691, 67914.470021, 67923.511469, 67932.553036,
1102
67941.594721, 67950.636525, 67959.678446, 67968.720486, 67977.762645, 67986.804921, 67995.847316, 68004.889830,
1103
68013.932461, 68022.975211, 68032.018079, 68041.061065, 68050.104170, 68059.147392, 68068.190733, 68077.234192,
1104
68086.277769, 68095.321465, 68104.365278, 68113.409209, 68122.453259, 68131.497427, 68140.541713, 68149.586116,
1105
68158.630638, 68167.675278, 68176.720036, 68185.764912, 68194.809906, 68203.855018, 68212.900248, 68221.945596,
1106
68230.991061, 68240.036645, 68249.082347, 68258.128166, 68267.174103, 68276.220158, 68285.266331, 68294.312622,
1107
68303.359031, 68312.405558, 68321.452202, 68330.498964, 68339.545844, 68348.592841, 68357.639957, 68366.687190,
1108
68375.734540, 68384.782009, 68393.829595, 68402.877299, 68411.925120, 68420.973059, 68430.021116, 68439.069290,
1109
68448.117582, 68457.165992, 68466.214519, 68475.263163, 68484.311926, 68493.360805, 68502.409802, 68511.458917,
1110
68520.508149, 68529.557499, 68538.606966, 68547.656551, 68556.706253, 68565.756072, 68574.806009, 68583.856063,
1111
68592.906235, 68601.956524, 68611.006930, 68620.057454, 68629.108095, 68638.158853, 68647.209729, 68656.260722,
1112
68665.311832, 68674.363059, 68683.414404, 68692.465866, 68701.517445, 68710.569141, 68719.620955, 68728.672885,
1113
68737.724933, 68746.777098, 68755.829380, 68764.881779, 68773.934296, 68782.986929, 68792.039679, 68801.092547,
1114
68810.145531, 68819.198633, 68828.251852, 68837.305187, 68846.358640, 68855.412210, 68864.465896, 68873.519700,
1115
68882.573620, 68891.627657, 68900.681812, 68909.736083, 68918.790471, 68927.844976, 68936.899598, 68945.954336,
1116
68955.009192, 68964.064164, 68973.119253, 68982.174459, 68991.229782, 69000.285221, 69009.340777, 69018.396450,
1117
69027.452240, 69036.508146, 69045.564169, 69054.620309, 69063.676565, 69072.732938, 69081.789428, 69090.846034,
1118
69099.902757, 69108.959596, 69118.016553, 69127.073625, 69136.130814, 69145.188120, 69154.245542, 69163.303081,
1119
69172.360736, 69181.418508, 69190.476396, 69199.534401, 69208.592522, 69217.650760, 69226.709114, 69235.767584,
1120
69244.826171, 69253.884874, 69262.943694, 69272.002630, 69281.061682, 69290.120851, 69299.180136, 69308.239537,
1121
69317.299054, 69326.358688, 69335.418438, 69344.478304, 69353.538287, 69362.598385, 69371.658600, 69380.718931,
1122
69389.779379, 69398.839942, 69407.900622, 69416.961418, 69426.022329, 69435.083357, 69444.144501, 69453.205762,
1123
69462.267138, 69471.328630, 69480.390238, 69489.451963, 69498.513803, 69507.575759, 69516.637832, 69525.700020,
1124
69534.762324, 69543.824745, 69552.887281, 69561.949933, 69571.012701, 69580.075585, 69589.138585, 69598.201700,
1125
69607.264932, 69616.328279, 69625.391742, 69634.455321, 69643.519016, 69652.582827, 69661.646753, 69670.710795,
1126
69679.774953, 69688.839227, 69697.903616, 69706.968121, 69716.032742, 69725.097478, 69734.162330, 69743.227298,
1127
69752.292381, 69761.357580, 69770.422895, 69779.488325, 69788.553871, 69797.619532, 69806.685309, 69815.751202,
1128
69824.817210, 69833.883333, 69842.949572, 69852.015927, 69861.082397, 69870.148982, 69879.215683, 69888.282499,
1129
69897.349431, 69906.416478, 69915.483641, 69924.550919, 69933.618312, 69942.685821, 69951.753445, 69960.821185,
1130
69969.889039, 69978.957009, 69988.025095, 69997.093295, 70006.161611, 70015.230042, 70024.298589, 70033.367250,
1131
70042.436027, 70051.504919, 70060.573926, 70069.643049, 70078.712286, 70087.781639, 70096.851107, 70105.920690,
1132
70114.990388, 70124.060201, 70133.130129, 70142.200172, 70151.270331, 70160.340604, 70169.410992, 70178.481496,
1133
70187.552114, 70196.622848, 70205.693696, 70214.764659, 70223.835738, 70232.906931, 70241.978239, 70251.049662,
1134
70260.121200, 70269.192853, 70278.264621, 70287.336503, 70296.408501, 70305.480613, 70314.552840, 70323.625182,
1135
70332.697639, 70341.770210, 70350.842896, 70359.915697, 70368.988613, 70378.061643, 70387.134788, 70396.208048,
1136
70405.281423, 70414.354912, 70423.428516, 70432.502234, 70441.576067, 70450.650015, 70459.724078, 70468.798254,
1137
70477.872546, 70486.946952, 70496.021473, 70505.096108, 70514.170858, 70523.245722, 70532.320701, 70541.395794,
1138
70550.471002, 70559.546324, 70568.621760, 70577.697311, 70586.772977, 70595.848757, 70604.924651, 70614.000660,
1139
70623.076783, 70632.153020, 70641.229372, 70650.305838, 70659.382418, 70668.459113, 70677.535922, 70686.612845,
1140
70695.689883, 70704.767034, 70713.844300, 70722.921681, 70731.999175, 70741.076784, 70750.154507, 70759.232344,
1141
70768.310295, 70777.388360, 70786.466540, 70795.544833, 70804.623241, 70813.701763, 70822.780399, 70831.859149,
1142
70840.938013, 70850.016991, 70859.096083, 70868.175289, 70877.254609, 70886.334043, 70895.413591, 70904.493253,
1143
70913.573029, 70922.652919, 70931.732923, 70940.813041, 70949.893272, 70958.973618, 70968.054077, 70977.134651,
1144
70986.215338, 70995.296139, 71004.377054, 71013.458082, 71022.539225, 71031.620481, 71040.701851, 71049.783335,
1145
71058.864932, 71067.946644, 71077.028469, 71086.110407, 71095.192460, 71104.274626, 71113.356905, 71122.439299,
1146
71131.521806, 71140.604426, 71149.687160, 71158.770008, 71167.852970, 71176.936045, 71186.019233, 71195.102536,
1147
71204.185951, 71213.269480, 71222.353123, 71231.436879, 71240.520749, 71249.604732, 71258.688829, 71267.773039,
1148
71276.857363, 71285.941799, 71295.026350, 71304.111014, 71313.195791, 71322.280681, 71331.365685, 71340.450802,
1149
71349.536033, 71358.621377, 71367.706834, 71376.792404, 71385.878088, 71394.963885, 71404.049796, 71413.135819,
1150
71422.221956, 71431.308206, 71440.394569, 71449.481045, 71458.567635, 71467.654338, 71476.741154, 71485.828083,
1151
71494.915125, 71504.002280, 71513.089548, 71522.176930, 71531.264424, 71540.352032, 71549.439753, 71558.527586,
1152
71567.615533, 71576.703593, 71585.791766, 71594.880051, 71603.968450, 71613.056962, 71622.145586, 71631.234324,
1153
71640.323174, 71649.412138, 71658.501214, 71667.590403, 71676.679705, 71685.769120, 71694.858648, 71703.948288,
1154
71713.038042, 71722.127908, 71731.217887, 71740.307979, 71749.398184, 71758.488501, 71767.578931, 71776.669474,
1155
71785.760129, 71794.850897, 71803.941778, 71813.032772, 71822.123878, 71831.215097, 71840.306429, 71849.397873,
1156
71858.489430, 71867.581099, 71876.672881, 71885.764776, 71894.856783, 71903.948903, 71913.041135, 71922.133480,
1157
71931.225937, 71940.318507, 71949.411190, 71958.503984, 71967.596892, 71976.689911, 71985.783043, 71994.876288,
1158
72003.969645, 72013.063115, 72022.156696, 72031.250391, 72040.344197, 72049.438116, 72058.532147, 72067.626291,
1159
72076.720547, 72085.814915, 72094.909395, 72104.003988, 72113.098693, 72122.193510, 72131.288440, 72140.383482,
1160
72149.478636, 72158.573902, 72167.669280, 72176.764771, 72185.860373, 72194.956088, 72204.051915, 72213.147854,
1161
72222.243906, 72231.340069, 72240.436344, 72249.532732, 72258.629231, 72267.725843, 72276.822567, 72285.919402,
1162
72295.016350, 72304.113410, 72313.210581, 72322.307865, 72331.405261, 72340.502768, 72349.600388, 72358.698119,
1163
72367.795962, 72376.893918, 72385.991985, 72395.090164, 72404.188455, 72413.286857, 72422.385372, 72431.483998,
1164
72440.582737, 72449.681587, 72458.780548, 72467.879622, 72476.978807, 72486.078104, 72495.177513, 72504.277034,
1165
72513.376666, 72522.476410, 72531.576265, 72540.676233, 72549.776312, 72558.876502, 72567.976805, 72577.077219,
1166
72586.177744, 72595.278381, 72604.379130, 72613.479990, 72622.580962, 72631.682045, 72640.783240, 72649.884547,
1167
72658.985965, 72668.087494, 72677.189135, 72686.290888, 72695.392751, 72704.494727, 72713.596814, 72722.699012,
1168
72731.801321, 72740.903742, 72750.006275, 72759.108919, 72768.211674, 72777.314540, 72786.417518, 72795.520607,
1169
72804.623808, 72813.727120, 72822.830543, 72831.934077, 72841.037723, 72850.141480, 72859.245348, 72868.349327,
1170
72877.453418, 72886.557619, 72895.661932, 72904.766357, 72913.870892, 72922.975538, 72932.080296, 72941.185165,
1171
72950.290145, 72959.395236, 72968.500438, 72977.605751, 72986.711175, 72995.816710, 73004.922356, 73014.028114,
1172
73023.133982, 73032.239962, 73041.346052, 73050.452253, 73059.558566, 73068.664989, 73077.771523, 73086.878168,
1173
73095.984924, 73105.091791, 73114.198769, 73123.305858, 73132.413057, 73141.520368, 73150.627789, 73159.735321,
1174
73168.842964, 73177.950718, 73187.058583, 73196.166558, 73205.274644, 73214.382841, 73223.491149, 73232.599567,
1175
73241.708096, 73250.816736, 73259.925486, 73269.034348, 73278.143320, 73287.252402, 73296.361595, 73305.470899,
1176
73314.580314, 73323.689839, 73332.799474, 73341.909221, 73351.019077, 73360.129045, 73369.239123, 73378.349311,
1177
73387.459610, 73396.570020, 73405.680540, 73414.791170, 73423.901911, 73433.012763, 73442.123725, 73451.234797,
1178
73460.345980, 73469.457273, 73478.568677, 73487.680191, 73496.791815, 73505.903550, 73515.015395, 73524.127351,
1179
73533.239416, 73542.351592, 73551.463879, 73560.576276, 73569.688783, 73578.801400, 73587.914127, 73597.026965,
1180
73606.139913, 73615.252972, 73624.366140, 73633.479419, 73642.592808, 73651.706307, 73660.819916, 73669.933635,
1181
73679.047465, 73688.161404, 73697.275454, 73706.389614, 73715.503884, 73724.618264, 73733.732754, 73742.847354,
1182
73751.962064, 73761.076884, 73770.191814, 73779.306854, 73788.422005, 73797.537265, 73806.652635, 73815.768115,
1183
73824.883705, 73833.999405, 73843.115215, 73852.231135, 73861.347164, 73870.463304, 73879.579553, 73888.695913,
1184
73897.812382, 73906.928961, 73916.045650, 73925.162448, 73934.279357, 73943.396375, 73952.513503, 73961.630741,
1185
73970.748088, 73979.865545, 73988.983112, 73998.100789, 74007.218575, 74016.336472, 74025.454477, 74034.572593,
1186
74043.690818, 74052.809153, 74061.927597, 74071.046151, 74080.164814, 74089.283588, 74098.402470, 74107.521463,
1187
74116.640565, 74125.759776, 74134.879097, 74143.998528, 74153.118068, 74162.237717, 74171.357476, 74180.477344,
1188
74189.597322, 74198.717410, 74207.837607, 74216.957913, 74226.078329, 74235.198854, 74244.319488, 74253.440232,
1189
74262.561085, 74271.682048, 74280.803120, 74289.924301, 74299.045591, 74308.166991, 74317.288500, 74326.410119,
1190
74335.531847, 74344.653684, 74353.775630, 74362.897685, 74372.019850, 74381.142124, 74390.264507, 74399.386999,
1191
74408.509601, 74417.632311, 74426.755131, 74435.878060, 74445.001098, 74454.124245, 74463.247501, 74472.370867,
1192
74481.494341, 74490.617925, 74499.741617, 74508.865419, 74517.989330, 74527.113349, 74536.237478, 74545.361716,
1193
74554.486062, 74563.610518, 74572.735082, 74581.859756, 74590.984538, 74600.109430, 74609.234430, 74618.359539,
1194
74627.484758, 74636.610085, 74645.735520, 74654.861065, 74663.986719, 74673.112481, 74682.238352, 74691.364332,
1195
74700.490421, 74709.616619, 74718.742925, 74727.869340, 74736.995864, 74746.122497, 74755.249238, 74764.376088,
1196
74773.503047, 74782.630114, 74791.757290, 74800.884575, 74810.011969, 74819.139471, 74828.267082, 74837.394801,
1197
74846.522629, 74855.650565, 74864.778611, 74873.906764, 74883.035026, 74892.163397, 74901.291877, 74910.420465,
1198
74919.549161, 74928.677966, 74937.806879, 74946.935901, 74956.065031, 74965.194270, 74974.323617, 74983.453073,
1199
74992.582637, 75001.712309, 75010.842090, 75019.971980, 75029.101977, 75038.232083, 75047.362298, 75056.492620,
1200
75065.623051, 75074.753590, 75083.884238, 75093.014994, 75102.145858, 75111.276831, 75120.407911, 75129.539100,
1201
75138.670397, 75147.801803, 75156.933316, 75166.064938, 75175.196668, 75184.328506, 75193.460453, 75202.592507,
1202
75211.724670, 75220.856940, 75229.989319, 75239.121806, 75248.254401, 75257.387104, 75266.519915, 75275.652835,
1203
75284.785862, 75293.918997, 75303.052240, 75312.185592, 75321.319051, 75330.452618, 75339.586294, 75348.720077,
1204
75357.853968, 75366.987967, 75376.122074, 75385.256289, 75394.390612, 75403.525043, 75412.659582, 75421.794228,
1205
75430.928983, 75440.063845, 75449.198815, 75458.333893, 75467.469078, 75476.604372, 75485.739773, 75494.875282,
1206
75504.010899, 75513.146624, 75522.282456, 75531.418396, 75540.554444, 75549.690599, 75558.826863, 75567.963233,
1207
75577.099712, 75586.236298, 75595.372992, 75604.509793, 75613.646702, 75622.783719, 75631.920843, 75641.058075,
1208
75650.195415, 75659.332862, 75668.470417, 75677.608079, 75686.745848, 75695.883726, 75705.021710, 75714.159802,
1209
75723.298002, 75732.436309, 75741.574724, 75750.713246, 75759.851876, 75768.990613, 75778.129457, 75787.268409,
1210
75796.407468, 75805.546634, 75814.685908, 75823.825290, 75832.964778, 75842.104374, 75851.244077, 75860.383888,
1211
75869.523806, 75878.663831, 75887.803964, 75896.944203, 75906.084550, 75915.225005, 75924.365566, 75933.506235,
1212
75942.647011, 75951.787894, 75960.928884, 75970.069982, 75979.211186, 75988.352498, 75997.493917, 76006.635443,
1213
76015.777076, 76024.918816, 76034.060664, 76043.202618, 76052.344680, 76061.486848, 76070.629124, 76079.771507,
1214
76088.913996, 76098.056593, 76107.199297, 76116.342108, 76125.485025, 76134.628050, 76143.771182, 76152.914420,
1215
76162.057766, 76171.201218, 76180.344777, 76189.488444, 76198.632217, 76207.776097, 76216.920084, 76226.064177,
1216
76235.208378, 76244.352685, 76253.497100, 76262.641621, 76271.786248, 76280.930983, 76290.075824, 76299.220773,
1217
76308.365828, 76317.510989, 76326.656258, 76335.801633, 76344.947114, 76354.092703, 76363.238398, 76372.384200,
1218
76381.530108, 76390.676124, 76399.822245, 76408.968474, 76418.114809, 76427.261251, 76436.407799, 76445.554454,
1219
76454.701215, 76463.848083, 76472.995057, 76482.142138, 76491.289326, 76500.436620, 76509.584021, 76518.731528,
1220
76527.879141, 76537.026861, 76546.174688, 76555.322621, 76564.470660, 76573.618806, 76582.767058, 76591.915417,
1221
76601.063882, 76610.212453, 76619.361131, 76628.509915, 76637.658805, 76646.807802, 76655.956905, 76665.106114,
1222
76674.255430, 76683.404852, 76692.554380, 76701.704015, 76710.853755, 76720.003602, 76729.153556, 76738.303615,
1223
76747.453781, 76756.604052, 76765.754431, 76774.904915, 76784.055505, 76793.206202, 76802.357004, 76811.507913,
1224
76820.658928, 76829.810049, 76838.961276, 76848.112609, 76857.264049, 76866.415594, 76875.567245, 76884.719003,
1225
76893.870866, 76903.022836, 76912.174911, 76921.327092, 76930.479380, 76939.631773, 76948.784273, 76957.936878,
1226
76967.089589, 76976.242406, 76985.395330, 76994.548359, 77003.701493, 77012.854734, 77022.008081, 77031.161533,
1227
77040.315092, 77049.468756, 77058.622526, 77067.776402, 77076.930383, 77086.084471, 77095.238664, 77104.392963,
1228
77113.547368, 77122.701878, 77131.856495, 77141.011216, 77150.166044, 77159.320977, 77168.476017, 77177.631161,
1229
77186.786412, 77195.941768, 77205.097229, 77214.252797, 77223.408470, 77232.564248, 77241.720133, 77250.876122,
1230
77260.032218, 77269.188419, 77278.344725, 77287.501137, 77296.657655, 77305.814278, 77314.971006, 77324.127840,
1231
77333.284780, 77342.441825, 77351.598976, 77360.756232, 77369.913593, 77379.071060, 77388.228632, 77397.386310,
1232
77406.544093, 77415.701982, 77424.859976, 77434.018075, 77443.176279, 77452.334589, 77461.493005, 77470.651525,
1233
77479.810151, 77488.968883, 77498.127719, 77507.286661, 77516.445708, 77525.604860, 77534.764118, 77543.923481,
1234
77553.082949, 77562.242522, 77571.402200, 77580.561984, 77589.721873, 77598.881867, 77608.041966, 77617.202170,
1235
77626.362480, 77635.522894, 77644.683414, 77653.844039, 77663.004769, 77672.165604, 77681.326544, 77690.487589,
1236
77699.648739, 77708.809994, 77717.971354, 77727.132819, 77736.294390, 77745.456065, 77754.617845, 77763.779730,
1237
77772.941720, 77782.103815, 77791.266015, 77800.428320, 77809.590730, 77818.753245, 77827.915864, 77837.078589,
1238
77846.241418, 77855.404353, 77864.567392, 77873.730536, 77882.893784, 77892.057138, 77901.220596, 77910.384160,
1239
77919.547828, 77928.711600, 77937.875478, 77947.039460, 77956.203547, 77965.367739, 77974.532035, 77983.696436,
1240
77992.860942, 78002.025553, 78011.190268, 78020.355088, 78029.520012, 78038.685041, 78047.850175, 78057.015414,
1241
78066.180757, 78075.346204, 78084.511756, 78093.677413, 78102.843174, 78112.009040, 78121.175011, 78130.341086,
1242
78139.507265, 78148.673549, 78157.839938, 78167.006431, 78176.173028, 78185.339730, 78194.506536, 78203.673447,
1243
78212.840462, 78222.007582, 78231.174806, 78240.342135, 78249.509568, 78258.677105, 78267.844746, 78277.012492,
1244
78286.180343, 78295.348297, 78304.516356, 78313.684520, 78322.852787, 78332.021159, 78341.189635, 78350.358216,
1245
78359.526900, 78368.695689, 78377.864583, 78387.033580, 78396.202682, 78405.371887, 78414.541197, 78423.710612,
1246
78432.880130, 78442.049753, 78451.219479, 78460.389310, 78469.559245, 78478.729284, 78487.899427, 78497.069675,
1247
78506.240026, 78515.410481, 78524.581041, 78533.751704, 78542.922472, 78552.093344, 78561.264319, 78570.435399,
1248
78579.606583, 78588.777870, 78597.949262, 78607.120757, 78616.292357, 78625.464060, 78634.635868, 78643.807779,
1249
78652.979794, 78662.151914, 78671.324137, 78680.496464, 78689.668894, 78698.841429, 78708.014068, 78717.186810,
1250
78726.359656, 78735.532606, 78744.705660, 78753.878817, 78763.052079, 78772.225444, 78781.398913, 78790.572485,
1251
78799.746162, 78808.919942, 78818.093826, 78827.267813, 78836.441905, 78845.616100, 78854.790398, 78863.964800,
1252
78873.139306, 78882.313916, 78891.488629, 78900.663446, 78909.838366, 78919.013390, 78928.188518, 78937.363749,
1253
78946.539084, 78955.714522, 78964.890064, 78974.065710, 78983.241458, 78992.417311, 79001.593267, 79010.769326,
1254
79019.945489, 79029.121756, 79038.298125, 79047.474599, 79056.651175, 79065.827856, 79075.004639, 79084.181526,
1255
79093.358517, 79102.535610, 79111.712808, 79120.890108, 79130.067512, 79139.245019, 79148.422630, 79157.600344,
1256
79166.778161, 79175.956081, 79185.134105, 79194.312232, 79203.490462, 79212.668796, 79221.847233, 79231.025773,
1257
79240.204416, 79249.383163, 79258.562012, 79267.740965, 79276.920021, 79286.099181, 79295.278443, 79304.457809,
1258
79313.637277, 79322.816849, 79331.996524, 79341.176302, 79350.356183, 79359.536168, 79368.716255, 79377.896445,
1259
79387.076739, 79396.257135, 79405.437635, 79414.618237, 79423.798943, 79432.979751, 79442.160663, 79451.341678,
1260
79460.522795, 79469.704016, 79478.885339, 79488.066765, 79497.248295, 79506.429927, 79515.611662, 79524.793500,
1261
79533.975441, 79543.157485, 79552.339631, 79561.521881, 79570.704233, 79579.886688, 79589.069246, 79598.251907,
1262
79607.434671, 79616.617537, 79625.800506, 79634.983578, 79644.166753, 79653.350030, 79662.533410, 79671.716893,
1263
79680.900479, 79690.084167, 79699.267958, 79708.451852, 79717.635849, 79726.819948, 79736.004149, 79745.188454,
1264
79754.372861, 79763.557370, 79772.741982, 79781.926697, 79791.111515, 79800.296435, 79809.481457, 79818.666582,
1265
79827.851810, 79837.037140, 79846.222573, 79855.408108, 79864.593746, 79873.779486, 79882.965329, 79892.151274,
1266
79901.337322, 79910.523472, 79919.709725, 79928.896080, 79938.082537, 79947.269097, 79956.455759, 79965.642524,
1267
79974.829391, 79984.016360, 79993.203432, 80002.390606, 80011.577882, 80020.765261, 80029.952742, 80039.140326,
1268
80048.328011, 80057.515799, 80066.703690, 80075.891682, 80085.079777, 80094.267974, 80103.456273, 80112.644675,
1269
80121.833178, 80131.021784, 80140.210492, 80149.399302, 80158.588215, 80167.777229, 80176.966346, 80186.155565,
1270
80195.344886, 80204.534309, 80213.723834, 80222.913462, 80232.103191, 80241.293023, 80250.482956, 80259.672992,
1271
80268.863130, 80278.053369, 80287.243711, 80296.434155, 80305.624700, 80314.815348, 80324.006098, 80333.196950,
1272
80342.387903, 80351.578959, 80360.770116, 80369.961376, 80379.152737, 80388.344201, 80397.535766, 80406.727433,
1273
80415.919202, 80425.111073, 80434.303045, 80443.495120, 80452.687296, 80461.879575, 80471.071955, 80480.264437,
1274
80489.457020, 80498.649706, 80507.842493, 80517.035382, 80526.228373, 80535.421465, 80544.614659, 80553.807955,
1275
80563.001353, 80572.194852, 80581.388453, 80590.582156, 80599.775960, 80608.969866, 80618.163874, 80627.357984,
1276
80636.552195, 80645.746507, 80654.940921, 80664.135437, 80673.330055, 80682.524774, 80691.719594, 80700.914516,
1277
80710.109540, 80719.304665, 80728.499892, 80737.695220, 80746.890650, 80756.086181, 80765.281814, 80774.477548,
1278
80783.673384, 80792.869321, 80802.065360, 80811.261500, 80820.457741, 80829.654084, 80838.850528, 80848.047074,
1279
80857.243721, 80866.440469, 80875.637319, 80884.834270, 80894.031323, 80903.228476, 80912.425732, 80921.623088,
1280
80930.820546, 80940.018105, 80949.215765, 80958.413527, 80967.611390, 80976.809354, 80986.007419, 80995.205586,
1281
81004.403853, 81013.602222, 81022.800693, 81031.999264, 81041.197937, 81050.396710, 81059.595585, 81068.794561,
1282
81077.993638, 81087.192817, 81096.392096, 81105.591477, 81114.790958, 81123.990541, 81133.190225, 81142.390010,
1283
81151.589896, 81160.789883, 81169.989971, 81179.190160, 81188.390450, 81197.590841, 81206.791333, 81215.991926,
1284
81225.192620, 81234.393415, 81243.594311, 81252.795307, 81261.996405, 81271.197604, 81280.398904, 81289.600304,
1285
81298.801805, 81308.003408, 81317.205111, 81326.406915, 81335.608820, 81344.810826, 81354.012932, 81363.215140,
1286
81372.417448, 81381.619857, 81390.822367, 81400.024977, 81409.227689, 81418.430501, 81427.633413, 81436.836427,
1287
81446.039541, 81455.242756, 81464.446072, 81473.649489, 81482.853006, 81492.056624, 81501.260342, 81510.464161,
1288
81519.668081, 81528.872102, 81538.076223, 81547.280444, 81556.484767, 81565.689189, 81574.893713, 81584.098337,
1289
81593.303062, 81602.507887, 81611.712813, 81620.917839, 81630.122966, 81639.328193, 81648.533521, 81657.738949,
1290
81666.944478, 81676.150107, 81685.355837, 81694.561667, 81703.767598, 81712.973629, 81722.179761, 81731.385992,
1291
81740.592325, 81749.798758, 81759.005291, 81768.211924, 81777.418658, 81786.625492, 81795.832427, 81805.039462,
1292
81814.246597, 81823.453833, 81832.661168, 81841.868605, 81851.076141, 81860.283778, 81869.491515, 81878.699352,
1293
81887.907290, 81897.115327, 81906.323465, 81915.531703, 81924.740042, 81933.948480, 81943.157019, 81952.365658,
1294
81961.574397, 81970.783236, 81979.992176, 81989.201215, 81998.410355, 82007.619595, 82016.828935, 82026.038374,
1295
82035.247915, 82044.457555, 82053.667295, 82062.877135, 82072.087075, 82081.297116, 82090.507256, 82099.717496,
1300
#define AA20 2 /** #define identifying protein alphabet */
1304
/** Information about the alphabet used by seg.
1305
* For proteins this version of seg uses ncbistdaa,
1306
* This keeps track of those.
1308
typedef struct Alpha
1310
Int4 alphabet; /**< which alphabet, AA20 for proteins. */
1311
Int4 alphasize; /**< size of above alphabet. */
1312
double lnalphasize; /**< nat. log of size of above alphabet. */
1313
Int4* alphaindex; /**< value in ncbistdaa. */
1314
unsigned char* alphaflag; /**< array of bools to indicate that letter is (not) valid?? */
1318
/** General sequence information */
1319
typedef struct SSequence
1321
struct SSequence* parent; /**< SSequence window that encompasses the current one */
1322
char* seq; /**< sequence in ncbistdaa. */
1323
Alpha* palpha; /**< alphabet information */
1324
Int4 start; /**< starting offset to seg. */
1325
Int4 length; /**< Length of sequence to be segged. */
1326
Int4 bogus; /**< tracks number of non-allowed residues (e.g., X) */
1327
Boolean punctuation; /**< FIXME: always FALSE, never set to TRUE? */
1328
Int4* composition; /**< totals number of each type of residue */
1329
Int4* state; /**< "state vector as described on pg. 151 of Wootton and Federhen
1330
(Comput. Chem. 17, 149 (1993)). Tracks number of each residue,
1331
like composition, but without gaps in array. */
1332
double entropy; /**< entropy of what this array refers to. */
1335
/** List of sequence segments (hits) */
1338
int begin; /**< beginning of segment (hit). */
1339
int end; /**< end of segment (hit). */
1340
struct SSeg *next; /**< next object in linked list */
1343
/** Initializes SSequence structure */
1344
static SSequence* SSequenceNew(void)
1348
seq = (SSequence*) calloc(1, sizeof(SSequence));
1351
/* raise error flag and etc. */
1355
seq->parent = (SSequence*) NULL;
1356
seq->seq = (char*) NULL;
1357
seq->palpha = (Alpha*) NULL;
1358
seq->start = seq->length = 0;
1359
seq->bogus = seq->punctuation = FALSE;
1360
seq->composition = seq->state = (Int4*) NULL;
1361
seq->entropy = (double) 0.0;
1366
/*------------------------------------------------------------(AlphaFree)---*/
1368
/** Frees the Alpha structure and underlying structures.
1369
* @param palpha the object to be freed [in]
1371
static void AlphaFree (Alpha* palpha)
1374
if (!palpha) return;
1376
sfree (palpha->alphaindex);
1377
sfree (palpha->alphaflag);
1383
/*--------------------------------------------------------------(SSequenceFree)---*/
1385
/** Frees the SSequence structure and the underlying structure
1386
* @param seq the object to be freed [in]
1388
static void SSequenceFree(SSequence* seq)
1390
if (seq==NULL) return;
1393
AlphaFree(seq->palpha);
1394
sfree(seq->composition);
1400
/*--------------------------------------------------------------(SSegFree)---*/
1402
/** Frees the SSeg structure
1403
* @param seg the object to be freed [in]
1405
static void SegFree(SSeg* seg)
1411
nextseg = seg->next;
1419
/*--------------------------------------------------------------(hasdash)---*/
1421
/** Checks if sequence contains a dash.
1422
* @param win SSequence structure for a piece of a sequence [in]
1423
* @return TRUE if dash is found in the sequence, otherwise FALSE [in]
1425
static Boolean hasdash(SSequence* win)
1430
seqmax = seq + win->length;
1432
while (seq < seqmax) {
1439
/*------------------------------------------------------------(state_cmp)---*/
1441
/** State comparison function */
1442
static int state_cmp(const void* s1, const void* s2)
1449
return (*np2 - *np1);
1452
/*---------------------------------------------------------------(compon)---*/
1454
/** Calculates sequence composition array values.
1455
* @param win the object to be analyzed [in]
1457
static void compon(SSequence* win)
1464
unsigned char* alphaflag;
1467
alphasize = win->palpha->alphasize;
1468
alphaindex = win->palpha->alphaindex;
1469
alphaflag = win->palpha->alphaflag;
1471
win->composition = comp =
1472
(Int4*) calloc(alphasize, sizeof(Int4));
1474
seqmax = seq + win->length;
1476
while (seq < seqmax) {
1478
if (!alphaflag[letter])
1479
comp[alphaindex[letter]]++;
1487
/*--------------------------------------------------------------(stateon)---*/
1489
/** Calculates state array values
1490
* @param win the object to be analyzed [in]
1492
static void stateon(SSequence* win)
1495
Int4 letter, nel, c;
1498
alphasize = win->palpha->alphasize;
1500
if (win->composition == NULL)
1503
win->state = (Int4*) calloc((alphasize+1), sizeof(win->state[0]));
1505
for (letter = nel = 0; letter < alphasize; ++letter) {
1506
if ((c = win->composition[letter]) == 0)
1508
win->state[nel++] = c;
1510
for (letter = nel; letter < alphasize+1; ++letter)
1511
win->state[letter] = 0;
1513
qsort(win->state, nel, sizeof(win->state[0]), state_cmp);
1518
/*--------------------------------------------------------------(openwin)---*/
1520
/** Initializes an SSequence structure for part of sequence contained in a
1522
* @param parent Parent (whole) sequence [in]
1523
* @param start Window start in parent [in]
1524
* @param length Window length in parent [in]
1525
* @return Pointer to the resulting SSequence structure.
1527
static SSequence* openwin(SSequence* parent, Int4 start, Int4 length)
1531
if (start<0 || length<0 || start+length>parent->length)
1533
return((SSequence*) NULL);
1536
win = (SSequence*) calloc(1, sizeof(SSequence));
1538
/*--- ---[set links, up and down]---*/
1540
win->parent = parent;
1541
win->palpha = parent->palpha;
1543
/*--- ---[install the local copy of the sequence]---*/
1546
win->length = length;
1547
win->seq = parent->seq + start;
1550
win->punctuation = FALSE;
1553
win->state = (Int4*) NULL;
1554
win->composition = (Int4*) NULL;
1561
/*--------------------------------------------------------------(entropy)---*/
1563
/** Calculates entropy of an integer array
1564
* @param sv array to be analyzed [in]
1565
* @return the entropy
1567
static double entropy(Int4* sv)
1573
for (i=0; sv[i]!=0; i++)
1577
if (total==0) return(0.);
1580
for (i=0; sv[i]!=0; i++)
1582
ent += ((double)sv[i])*log(((double)sv[i])/(double)total)/NCBIMATH_LN2;
1585
ent = fabs(ent/(double)total);
1590
/*----------------------------------------------------------(decrementsv)---*/
1594
/** Decrements the value in the Int4 array for every element that matches class.
1595
* There is also another criteria that the next element must have a vlaue
1597
* @param sv the array to be examined and decremented [in|out]
1598
* @param class criteria for decrementing an element [in]
1600
static void decrementsv(Int4* sv, Int4 class)
1605
while ((svi = *sv++) != 0) {
1606
if (svi == class && *sv < class) {
1613
/** Increments the value in the Int4 array for every element that matches class.
1614
* @param sv the array to be examined and incremented [in|out]
1615
* @param class criteria for incrementing an element [in]
1617
static void incrementsv(Int4* sv, Int4 class)
1621
if (*sv++ == class) {
1628
/*------------------------------------------------------------(shiftwin1)---*/
1630
static Boolean shiftwin1(SSequence* win)
1635
unsigned char* alphaflag;
1637
length = win->length;
1638
comp = win->composition;
1639
alphaindex = win->palpha->alphaindex;
1640
alphaflag = win->palpha->alphaflag;
1642
if ((++win->start + length) > win->parent->length) {
1647
if (!alphaflag[j = win->seq[0]])
1648
decrementsv(win->state, comp[alphaindex[j]]--);
1651
j = win->seq[length];
1655
incrementsv(win->state, comp[alphaindex[j]]++);
1658
if (win->entropy > -2.)
1659
win->entropy = entropy(win->state);
1664
/*-------------------------------------------------------------(closewin)---*/
1666
/** Frees the SSequence structure corresponding to a sequence window
1667
* Does not free palpha like SSequenceFree (two functions needed?).
1668
* @param win object to be freed
1670
static void closewin(SSequence* win)
1672
if (win==NULL) return;
1674
if (win->state!=NULL) sfree(win->state);
1675
if (win->composition!=NULL) sfree(win->composition);
1681
/*----------------------------------------------------------------(enton)---*/
1683
/** Calculates entropy of a sequence window
1684
* @param win object to be analyzed [in]
1686
static void enton(SSequence* win)
1689
if (win->state==NULL) {stateon(win);}
1691
win->entropy = entropy(win->state);
1696
/*---------------------------------------------------------------(seqent)---*/
1697
static double* seqent(SSequence* seq, Int4 window, Int4 maxbogus)
1701
Int4 i, first, last, downset, upset;
1703
downset = (window+1)/2 - 1;
1704
upset = window - downset;
1706
if (window>seq->length)
1708
return((double*) NULL);
1711
H = (double*) calloc(seq->length, sizeof(double));
1713
for (i=0; i<seq->length; i++)
1718
win = openwin(seq, 0, window);
1722
last = seq->length - upset;
1724
for (i=first; i<=last; i++)
1726
if (seq->punctuation && hasdash(win))
1732
if (win->bogus > maxbogus)
1738
H[i] = win->entropy;
1746
/** Appends second arg to end of first one.
1747
* @param segs structure to be appended to [in]
1748
* @param seg structure to append [in]
1751
appendseg(SSeg* segs, SSeg* seg)
1757
if (temp->next==NULL)
1771
/*---------------------------------------------------------------(findlo)---*/
1773
/** Finds the first element above hicut, looks from i to limit.
1774
* @param i first element to check [in]
1775
* @param limit last element to check [in]
1776
* @param hicut value to check for [in]
1777
* @param H the array to check.
1778
* @return index of last element with value below hicut
1781
static Int4 findlo(Int4 i, Int4 limit, double hicut, double* H)
1786
for (j=i; j>=limit; j--)
1788
if (H[j]==-1.0) break;
1789
if (H[j]>hicut) break;
1795
/*---------------------------------------------------------------(findhi)---*/
1797
/** Finds the last element below hicut, looks from i to limit.
1798
* @param i first element to check [in]
1799
* @param limit last element to check [in]
1800
* @param hicut value to check for [in]
1801
* @param H the array to check.
1802
* @return index of last element with value below hicut
1804
static Int4 findhi(Int4 i, Int4 limit, double hicut, double* H)
1809
for (j=i; j<=limit; j++)
1811
if (H[j]==-1.0) break;
1812
if (H[j]>hicut) break;
1819
/** calculate "K2" entroy per equation 3 of Wootton and Federhen
1820
* (Comput. Chem. 17, 149 (1993).
1821
* @param sv state vector [in]
1822
* @param window_length length of window being examined
1825
static double lnperm(const Int4* sv, Int4 window_length)
1831
ans = lnfact[window_length];
1833
for (i=0; sv[i]!=0; i++)
1835
ans -= lnfact[sv[i]];
1842
/** Calculates natural log of "Farben" which is the number of compositions
1843
* in any complexity state. See equation 1 of Wootton and Federhen
1844
* (Comput. Chem. 17, 149 (1993)).
1845
* @param sv state vector [in]
1846
* @param alphasize total letters in alphabet [in]
1847
* @return number of compositions as described above
1849
static double lnass(const Int4* sv, Int4 alphasize)
1857
ans = lnfact[alphasize];
1865
for (i=0;; svim1 = svi) {
1866
if (++i==alphasize) {
1867
ans -= lnfact[class];
1870
else if ((svi = *++sv) == svim1) {
1876
ans -= lnfact[class];
1878
ans -= lnfact[total];
1892
/** This function calculates the natural log of the value P sub 0 from
1893
* equation 3 of Wootton and Federhen (Methods Enzymol. 1996;266:554-71).
1894
* @param sv state vector [in]
1895
* @param total window length of area examined [in]
1896
* @param palpha structure for alphabet information [in]
1897
* @return log of P sub 0 as mentioned above
1899
static double getprob(const Int4* sv, Int4 total, const Alpha* palpha)
1902
double ans, ans1, ans2 = 0, totseq;
1904
totseq = ((double) total) * palpha->lnalphasize;
1906
ans1 = lnass(sv, palpha->alphasize);
1907
if (ans1 > -100000.0 && sv[0] != INT4_MIN)
1909
ans2 = lnperm(sv, total);
1913
#ifdef ERR_POST_EX_DEFINED
1914
ErrPostEx (SEV_ERROR, 0, 0, "Illegal value returned by lnass");
1917
ans = ans1 + ans2 - totseq;
1922
/*-----------------------------------------------------------------(trim)---*/
1924
static void trim(SSequence* seq, Int4* leftend, Int4* rightend,
1925
SegParameters* sparamsp)
1929
double prob, minprob;
1936
rend = seq->length - 1;
1938
maxtrim = sparamsp->maxtrim;
1939
if ((seq->length-maxtrim)>minlen) minlen = seq->length-maxtrim;
1942
for (len=seq->length; len>minlen; len--)
1944
win = openwin(seq, 0, len);
1950
prob = getprob(win->state, len, win->palpha);
1957
shift = shiftwin1(win);
1964
*leftend = *leftend + lend;
1965
*rightend = *rightend - (seq->length - rend - 1);
1971
/*---------------------------------------------------------------(SegSeq)---*/
1973
static void SegSeq(SSequence* seq, SegParameters* sparamsp, SSeg* *segs,
1976
SSeg* seg,* leftsegs;
1979
double locut, hicut;
1981
Int4 downset, upset;
1982
Int4 first, last, lowlim;
1984
Int4 leftend, rightend, lend, rend;
1987
if (sparamsp->window<=0) return;
1988
if (sparamsp->locut<=0.) sparamsp->locut = 0.;
1989
if (sparamsp->hicut<=0.) sparamsp->hicut = 0.;
1991
window = sparamsp->window;
1992
locut = sparamsp->locut;
1993
hicut = sparamsp->hicut;
1994
downset = (window+1)/2 - 1;
1995
upset = window - downset;
1996
maxbogus = sparamsp->maxbogus;
1998
H = seqent(seq, window, maxbogus);
1999
if (H==NULL) return;
2002
last = seq->length - upset;
2005
for (i=first; i<=last; i++)
2007
if (H[i] <= locut && H[i] != -1.0)
2009
loi = findlo(i, lowlim, hicut, H);
2010
hii = findhi(i, last, hicut, H);
2012
leftend = loi - downset;
2013
rightend = hii + upset - 1;
2015
trim(openwin(seq, leftend, rightend-leftend+1), &leftend, &rightend,
2018
if (i+upset-1<leftend) /* check for trigger window in left trim */
2020
lend = loi - downset;
2023
leftseq = openwin(seq, lend, rend-lend+1);
2024
leftsegs = (SSeg*) NULL;
2025
SegSeq(leftseq, sparamsp, &leftsegs, offset+lend);
2028
if (*segs==NULL) *segs = leftsegs;
2029
else appendseg(*segs, leftsegs);
2033
/* trim(openwin(seq, lend, rend-lend+1), &lend, &rend);
2034
seg = (SSeg*) calloc(1, sizeof(SSeg));
2037
seg->next = (SSeg*) NULL;
2038
if (segs==NULL) segs = seg;
2039
else appendseg(segs, seg); */
2042
seg = (SSeg*) calloc(1, sizeof(SSeg));
2043
seg->begin = leftend + offset;
2044
seg->end = rightend + offset;
2045
seg->next = (SSeg*) NULL;
2047
if (*segs==NULL) *segs = seg;
2048
else appendseg(*segs, seg);
2050
i = MIN(hii, rightend+downset);
2052
/* i = hii; this ignores the trimmed residues... */
2059
/*------------------------------------------------------------(mergesegs)---*/
2060
/** merge together overlapping segments,
2061
* hilenmin also does something, but we need to ask Scott Federhen what?
2062
* @param seq information about sequence [in]
2063
* @param segs segment information [in]
2065
static void mergesegs(SSequence* seq, SSeg* segs)
2067
SSeg* seg,* nextseg;
2068
Int4 hilenmin; /* hilenmin yet unset */
2071
hilenmin = 0; /* hilenmin - temporary default */
2073
if (segs==NULL) return;
2075
if (segs->begin<hilenmin) segs->begin = 0;
2078
nextseg = seg->next;
2080
while (nextseg!=NULL)
2082
if (seg->end>=nextseg->begin && seg->end>=nextseg->end)
2084
seg->next = nextseg->next;
2086
nextseg = seg->next;
2089
if (seg->end>=nextseg->begin) /* overlapping segments */
2091
seg->end = nextseg->end;
2092
seg->next = nextseg->next;
2094
nextseg = seg->next;
2097
len = nextseg->begin - seg->end - 1;
2098
if (len<hilenmin) /* short hient segment */
2100
seg->end = nextseg->end;
2101
seg->next = nextseg->next;
2103
nextseg = seg->next;
2107
nextseg = seg->next;
2110
len = seq->length - seg->end - 1;
2111
if (len<hilenmin) seg->end = seq->length - 1;
2116
/** Converts the internal representation used by seg to that used by BLAST
2118
* @param segs internal representation [in]
2119
* @param offset fixed value to add to offsets [in]
2120
* @param seg_locs the new BLAST specific representation [out]
2121
* @param returns zero on success.
2123
static Int2 SegsToBlastSeqLoc(SSeg* segs, Int4 offset, BlastSeqLoc** seg_locs)
2125
BlastSeqLoc* last_slp = NULL;
2127
for ( ; segs; segs = segs->next) {
2128
Int4 left = segs->begin + offset;
2129
Int4 right = segs->end + offset;
2132
last_slp = BlastSeqLocNew(seg_locs, left, right);
2134
last_slp = BlastSeqLocNew(&last_slp, left, right);
2141
/** Creats the Alphabet structure for standard protein alphabet.
2142
* @return pointer to the alphabet structure.
2144
static Alpha* AA20alpha_std (void)
2148
unsigned char* alphaflag;
2150
const int K_Char_Set = 128;
2151
const double K_ln20 = 2.9957322735539909;
2153
palpha = (Alpha*) calloc(1, sizeof(Alpha));
2155
palpha->alphabet = AA20;
2156
palpha->alphasize = 20;
2157
palpha->lnalphasize = K_ln20;
2159
alphaindex = (Int4*) calloc(K_Char_Set , sizeof(Int4));
2160
alphaflag = (unsigned char*) calloc(K_Char_Set , sizeof(char));
2162
for (c=0, i=0; c<K_Char_Set; c++)
2164
if (c == 1 || (c >= 3 && c <= 20) || c == 22) {
2165
alphaflag[c] = FALSE;
2169
alphaflag[c] = TRUE; alphaindex[c] = 20;
2173
palpha->alphaindex = alphaindex;
2174
palpha->alphaflag = alphaflag;
2179
/* Comments in blast_seg.h */
2180
SegParameters* SegParametersNewAa (void)
2182
SegParameters* sparamsp;
2184
sparamsp = (SegParameters*) calloc(1, sizeof(SegParameters));
2186
sparamsp->window = 12;
2187
sparamsp->locut = 2.2;
2188
sparamsp->hicut = 2.5;
2189
sparamsp->period = 1;
2190
sparamsp->hilenmin = 0;
2191
sparamsp->overlaps = FALSE;
2192
sparamsp->maxtrim = 50;
2193
sparamsp->maxbogus = 2;
2198
/** Checks SeqParameter struct for proteins, sets default values if not set.
2199
* @param sparamsp parameters to check [in]
2201
static void SegParametersCheck (SegParameters* sparamsp)
2203
if (!sparamsp) return;
2205
if (sparamsp->window <= 0) sparamsp->window = 12;
2207
if (sparamsp->locut < 0.0) sparamsp->locut = 0.0;
2209
if (sparamsp->hicut < 0.0) sparamsp->hicut = 0.0;
2211
if (sparamsp->locut > sparamsp->hicut)
2212
sparamsp->hicut = sparamsp->locut;
2214
if (sparamsp->maxbogus < 0)
2215
sparamsp->maxbogus = 0;
2216
if (sparamsp->maxbogus > sparamsp->window)
2217
sparamsp->maxbogus = sparamsp->window;
2219
if (sparamsp->period <= 0) sparamsp->period = 1;
2220
if (sparamsp->maxtrim < 0) sparamsp->maxtrim = 0;
2225
/* Comments in blast_seg.h */
2226
void SegParametersFree(SegParameters* sparamsp)
2234
/* comments in blast_seg.h */
2235
Int2 SeqBufferSeg (Uint1* sequence, Int4 length, Int4 offset,
2236
SegParameters* sparamsp, BlastSeqLoc** seg_locs)
2240
Boolean params_allocated = FALSE;
2242
SegParametersCheck (sparamsp);
2244
/* check seg parameters */
2247
params_allocated = TRUE;
2248
sparamsp = SegParametersNewAa();
2249
SegParametersCheck (sparamsp);
2251
#ifdef ERR_POST_EX_DEFINED
2252
ErrPostEx (SEV_WARNING, 0, 0, "null parameters object");
2259
/* make an old-style genwin sequence window object */
2261
seqwin = SSequenceNew();
2262
seqwin->seq = (char*) sequence;
2263
seqwin->length = length;
2264
seqwin->palpha = AA20alpha_std();
2266
/* seg the sequence */
2268
segs = (SSeg*) NULL;
2269
SegSeq (seqwin, sparamsp, &segs, 0);
2271
/* merge the segment if desired. */
2272
if (sparamsp->overlaps)
2273
mergesegs(seqwin, segs);
2275
/* convert segs to seqlocs */
2276
SegsToBlastSeqLoc(segs, offset, seg_locs);
2278
/* clean up & return */
2280
SSequenceFree (seqwin);
2283
if(params_allocated)
2284
SegParametersFree(sparamsp);