Horseshoe linear regression (Makalic & Schmidt 2016 Gibbs sampler)
Source:R/verification_ports_native.R
morie_bayesian_horseshoe.RdGibbs sampler for Bayesian linear regression under the horseshoe prior \(\beta_j \sim N(0, \lambda_j^2 \tau^2 \sigma^2)\). All conditionals follow Makalic & Schmidt (2016), Eqs. (9)-(11); the hypervariance conditionals are inverse-gamma.
References
Carvalho, C. M., Polson, N. G. and Scott, J. G. (2010). The horseshoe estimator for sparse signals. Biometrika, 97(2), 465-480. Makalic, E. and Schmidt, D. F. (2016). A simple sampler for the horseshoe estimator. IEEE Signal Processing Letters, 23(1), 179-182.
Examples
V <- c(1, 2, 3, 4, 5, 6, 7, 8)
morie_bayesian_horseshoe(V, V)
#> $beta_samples
#> [,1]
#> [1,] 1.0908738
#> [2,] 1.0986141
#> [3,] 1.0316032
#> [4,] 1.0071935
#> [5,] 1.0058867
#> [6,] 0.9953107
#> [7,] 1.0016267
#> [8,] 0.9997760
#> [9,] 1.0000522
#> [10,] 0.9999537
#> [11,] 0.9999835
#> [12,] 1.0000058
#> [13,] 1.0000020
#> [14,] 0.9999995
#> [15,] 1.0000016
#> [16,] 1.0000012
#> [17,] 0.9999996
#> [18,] 0.9999999
#> [19,] 1.0000000
#> [20,] 1.0000000
#> [21,] 1.0000000
#> [22,] 1.0000000
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#> [715,] 1.0000000
#> [716,] 1.0000000
#> [717,] 1.0000000
#> [718,] 1.0000000
#> [719,] 1.0000000
#> [720,] 1.0000000
#> [721,] 1.0000000
#> [722,] 1.0000000
#> [723,] 1.0000000
#> [724,] 1.0000000
#> [725,] 1.0000000
#> [726,] 1.0000000
#> [727,] 1.0000000
#> [728,] 1.0000000
#> [729,] 1.0000000
#> [730,] 1.0000000
#> [731,] 1.0000000
#> [732,] 1.0000000
#> [733,] 1.0000000
#> [734,] 1.0000000
#> [735,] 1.0000000
#> [736,] 1.0000000
#> [737,] 1.0000000
#> [738,] 1.0000000
#> [739,] 1.0000000
#> [740,] 1.0000000
#> [741,] 1.0000000
#> [742,] 1.0000000
#> [743,] 1.0000000
#> [744,] 1.0000000
#> [745,] 1.0000000
#> [746,] 1.0000000
#> [747,] 1.0000000
#> [748,] 1.0000000
#> [749,] 1.0000000
#> [750,] 1.0000000
#> [751,] 1.0000000
#> [752,] 1.0000000
#> [753,] 1.0000000
#> [754,] 1.0000000
#> [755,] 1.0000000
#> [756,] 1.0000000
#> [757,] 1.0000000
#> [758,] 1.0000000
#> [759,] 1.0000000
#> [760,] 1.0000000
#> [761,] 1.0000000
#> [762,] 1.0000000
#> [763,] 1.0000000
#> [764,] 1.0000000
#> [765,] 1.0000000
#> [766,] 1.0000000
#> [767,] 1.0000000
#> [768,] 1.0000000
#> [769,] 1.0000000
#> [770,] 1.0000000
#> [771,] 1.0000000
#> [772,] 1.0000000
#> [773,] 1.0000000
#> [774,] 1.0000000
#> [775,] 1.0000000
#> [776,] 1.0000000
#> [777,] 1.0000000
#> [778,] 1.0000000
#> [779,] 1.0000000
#> [780,] 1.0000000
#> [781,] 1.0000000
#> [782,] 1.0000000
#> [783,] 1.0000000
#> [784,] 1.0000000
#> [785,] 1.0000000
#> [786,] 1.0000000
#> [787,] 1.0000000
#> [788,] 1.0000000
#> [789,] 1.0000000
#> [790,] 1.0000000
#> [791,] 1.0000000
#> [792,] 1.0000000
#> [793,] 1.0000000
#> [794,] 1.0000000
#> [795,] 1.0000000
#> [796,] 1.0000000
#> [797,] 1.0000000
#> [798,] 1.0000000
#> [799,] 1.0000000
#> [800,] 1.0000000
#> [801,] 1.0000000
#> [802,] 1.0000000
#> [803,] 1.0000000
#> [804,] 1.0000000
#> [805,] 1.0000000
#> [806,] 1.0000000
#> [807,] 1.0000000
#> [808,] 1.0000000
#> [809,] 1.0000000
#> [810,] 1.0000000
#> [811,] 1.0000000
#> [812,] 1.0000000
#> [813,] 1.0000000
#> [814,] 1.0000000
#> [815,] 1.0000000
#> [816,] 1.0000000
#> [817,] 1.0000000
#> [818,] 1.0000000
#> [819,] 1.0000000
#> [820,] 1.0000000
#> [821,] 1.0000000
#> [822,] 1.0000000
#> [823,] 1.0000000
#> [824,] 1.0000000
#> [825,] 1.0000000
#> [826,] 1.0000000
#> [827,] 1.0000000
#> [828,] 1.0000000
#> [829,] 1.0000000
#> [830,] 1.0000000
#> [831,] 1.0000000
#> [832,] 1.0000000
#> [833,] 1.0000000
#> [834,] 1.0000000
#> [835,] 1.0000000
#> [836,] 1.0000000
#> [837,] 1.0000000
#> [838,] 1.0000000
#> [839,] 1.0000000
#> [840,] 1.0000000
#> [841,] 1.0000000
#> [842,] 1.0000000
#> [843,] 1.0000000
#> [844,] 1.0000000
#> [845,] 1.0000000
#> [846,] 1.0000000
#> [847,] 1.0000000
#> [848,] 1.0000000
#> [849,] 1.0000000
#> [850,] 1.0000000
#> [851,] 1.0000000
#> [852,] 1.0000000
#> [853,] 1.0000000
#> [854,] 1.0000000
#> [855,] 1.0000000
#> [856,] 1.0000000
#> [857,] 1.0000000
#> [858,] 1.0000000
#> [859,] 1.0000000
#> [860,] 1.0000000
#> [861,] 1.0000000
#> [862,] 1.0000000
#> [863,] 1.0000000
#> [864,] 1.0000000
#> [865,] 1.0000000
#> [866,] 1.0000000
#> [867,] 1.0000000
#> [868,] 1.0000000
#> [869,] 1.0000000
#> [870,] 1.0000000
#> [871,] 1.0000000
#> [872,] 1.0000000
#> [873,] 1.0000000
#> [874,] 1.0000000
#> [875,] 1.0000000
#> [876,] 1.0000000
#> [877,] 1.0000000
#> [878,] 1.0000000
#> [879,] 1.0000000
#> [880,] 1.0000000
#> [881,] 1.0000000
#> [882,] 1.0000000
#> [883,] 1.0000000
#> [884,] 1.0000000
#> [885,] 1.0000000
#> [886,] 1.0000000
#> [887,] 1.0000000
#> [888,] 1.0000000
#> [889,] 1.0000000
#> [890,] 1.0000000
#> [891,] 1.0000000
#> [892,] 1.0000000
#> [893,] 1.0000000
#> [894,] 1.0000000
#> [895,] 1.0000000
#> [896,] 1.0000000
#> [897,] 1.0000000
#> [898,] 1.0000000
#> [899,] 1.0000000
#> [900,] 1.0000000
#> [901,] 1.0000000
#> [902,] 1.0000000
#> [903,] 1.0000000
#> [904,] 1.0000000
#> [905,] 1.0000000
#> [906,] 1.0000000
#> [907,] 1.0000000
#> [908,] 1.0000000
#> [909,] 1.0000000
#> [910,] 1.0000000
#> [911,] 1.0000000
#> [912,] 1.0000000
#> [913,] 1.0000000
#> [914,] 1.0000000
#> [915,] 1.0000000
#> [916,] 1.0000000
#> [917,] 1.0000000
#> [918,] 1.0000000
#> [919,] 1.0000000
#> [920,] 1.0000000
#> [921,] 1.0000000
#> [922,] 1.0000000
#> [923,] 1.0000000
#> [924,] 1.0000000
#> [925,] 1.0000000
#> [926,] 1.0000000
#> [927,] 1.0000000
#> [928,] 1.0000000
#> [929,] 1.0000000
#> [930,] 1.0000000
#> [931,] 1.0000000
#> [932,] 1.0000000
#> [933,] 1.0000000
#> [934,] 1.0000000
#> [935,] 1.0000000
#> [936,] 1.0000000
#> [937,] 1.0000000
#> [938,] 1.0000000
#> [939,] 1.0000000
#> [940,] 1.0000000
#> [941,] 1.0000000
#> [942,] 1.0000000
#> [943,] 1.0000000
#> [944,] 1.0000000
#> [945,] 1.0000000
#> [946,] 1.0000000
#> [947,] 1.0000000
#> [948,] 1.0000000
#> [949,] 1.0000000
#> [950,] 1.0000000
#> [951,] 1.0000000
#> [952,] 1.0000000
#> [953,] 1.0000000
#> [954,] 1.0000000
#> [955,] 1.0000000
#> [956,] 1.0000000
#> [957,] 1.0000000
#> [958,] 1.0000000
#> [959,] 1.0000000
#> [960,] 1.0000000
#> [961,] 1.0000000
#> [962,] 1.0000000
#> [963,] 1.0000000
#> [964,] 1.0000000
#> [965,] 1.0000000
#> [966,] 1.0000000
#> [967,] 1.0000000
#> [968,] 1.0000000
#> [969,] 1.0000000
#> [970,] 1.0000000
#> [971,] 1.0000000
#> [972,] 1.0000000
#> [973,] 1.0000000
#> [974,] 1.0000000
#> [975,] 1.0000000
#> [976,] 1.0000000
#> [977,] 1.0000000
#> [978,] 1.0000000
#> [979,] 1.0000000
#> [980,] 1.0000000
#> [981,] 1.0000000
#> [982,] 1.0000000
#> [983,] 1.0000000
#> [984,] 1.0000000
#> [985,] 1.0000000
#> [986,] 1.0000000
#> [987,] 1.0000000
#> [988,] 1.0000000
#> [989,] 1.0000000
#> [990,] 1.0000000
#> [991,] 1.0000000
#> [992,] 1.0000000
#> [993,] 1.0000000
#> [994,] 1.0000000
#> [995,] 1.0000000
#> [996,] 1.0000000
#> [997,] 1.0000000
#> [998,] 1.0000000
#> [999,] 1.0000000
#> [1000,] 1.0000000
#> [1001,] 1.0000000
#> [1002,] 1.0000000
#> [1003,] 1.0000000
#> [1004,] 1.0000000
#> [1005,] 1.0000000
#> [1006,] 1.0000000
#> [1007,] 1.0000000
#> [1008,] 1.0000000
#> [1009,] 1.0000000
#> [1010,] 1.0000000
#> [1011,] 1.0000000
#> [1012,] 1.0000000
#> [1013,] 1.0000000
#> [1014,] 1.0000000
#> [1015,] 1.0000000
#> [1016,] 1.0000000
#> [1017,] 1.0000000
#> [1018,] 1.0000000
#> [1019,] 1.0000000
#> [1020,] 1.0000000
#> [1021,] 1.0000000
#> [1022,] 1.0000000
#> [1023,] 1.0000000
#> [1024,] 1.0000000
#> [1025,] 1.0000000
#> [1026,] 1.0000000
#> [1027,] 1.0000000
#> [1028,] 1.0000000
#> [1029,] 1.0000000
#> [1030,] 1.0000000
#> [1031,] 1.0000000
#> [1032,] 1.0000000
#> [1033,] 1.0000000
#> [1034,] 1.0000000
#> [1035,] 1.0000000
#> [1036,] 1.0000000
#> [1037,] 1.0000000
#> [1038,] 1.0000000
#> [1039,] 1.0000000
#> [1040,] 1.0000000
#> [1041,] 1.0000000
#> [1042,] 1.0000000
#> [1043,] 1.0000000
#> [1044,] 1.0000000
#> [1045,] 1.0000000
#> [1046,] 1.0000000
#> [1047,] 1.0000000
#> [1048,] 1.0000000
#> [1049,] 1.0000000
#> [1050,] 1.0000000
#> [1051,] 1.0000000
#> [1052,] 1.0000000
#> [1053,] 1.0000000
#> [1054,] 1.0000000
#> [1055,] 1.0000000
#> [1056,] 1.0000000
#> [1057,] 1.0000000
#> [1058,] 1.0000000
#> [1059,] 1.0000000
#> [1060,] 1.0000000
#> [1061,] 1.0000000
#> [1062,] 1.0000000
#> [1063,] 1.0000000
#> [1064,] 1.0000000
#> [1065,] 1.0000000
#> [1066,] 1.0000000
#> [1067,] 1.0000000
#> [1068,] 1.0000000
#> [1069,] 1.0000000
#> [1070,] 1.0000000
#> [1071,] 1.0000000
#> [1072,] 1.0000000
#> [1073,] 1.0000000
#> [1074,] 1.0000000
#> [1075,] 1.0000000
#> [1076,] 1.0000000
#> [1077,] 1.0000000
#> [1078,] 1.0000000
#> [1079,] 1.0000000
#> [1080,] 1.0000000
#> [1081,] 1.0000000
#> [1082,] 1.0000000
#> [1083,] 1.0000000
#> [1084,] 1.0000000
#> [1085,] 1.0000000
#> [1086,] 1.0000000
#> [1087,] 1.0000000
#> [1088,] 1.0000000
#> [1089,] 1.0000000
#> [1090,] 1.0000000
#> [1091,] 1.0000000
#> [1092,] 1.0000000
#> [1093,] 1.0000000
#> [1094,] 1.0000000
#> [1095,] 1.0000000
#> [1096,] 1.0000000
#> [1097,] 1.0000000
#> [1098,] 1.0000000
#> [1099,] 1.0000000
#> [1100,] 1.0000000
#> [1101,] 1.0000000
#> [1102,] 1.0000000
#> [1103,] 1.0000000
#> [1104,] 1.0000000
#> [1105,] 1.0000000
#> [1106,] 1.0000000
#> [1107,] 1.0000000
#> [1108,] 1.0000000
#> [1109,] 1.0000000
#> [1110,] 1.0000000
#> [1111,] 1.0000000
#> [1112,] 1.0000000
#> [1113,] 1.0000000
#> [1114,] 1.0000000
#> [1115,] 1.0000000
#> [1116,] 1.0000000
#> [1117,] 1.0000000
#> [1118,] 1.0000000
#> [1119,] 1.0000000
#> [1120,] 1.0000000
#> [1121,] 1.0000000
#> [1122,] 1.0000000
#> [1123,] 1.0000000
#> [1124,] 1.0000000
#> [1125,] 1.0000000
#> [1126,] 1.0000000
#> [1127,] 1.0000000
#> [1128,] 1.0000000
#> [1129,] 1.0000000
#> [1130,] 1.0000000
#> [1131,] 1.0000000
#> [1132,] 1.0000000
#> [1133,] 1.0000000
#> [1134,] 1.0000000
#> [1135,] 1.0000000
#> [1136,] 1.0000000
#> [1137,] 1.0000000
#> [1138,] 1.0000000
#> [1139,] 1.0000000
#> [1140,] 1.0000000
#> [1141,] 1.0000000
#> [1142,] 1.0000000
#> [1143,] 1.0000000
#> [1144,] 1.0000000
#> [1145,] 1.0000000
#> [1146,] 1.0000000
#> [1147,] 1.0000000
#> [1148,] 1.0000000
#> [1149,] 1.0000000
#> [1150,] 1.0000000
#> [1151,] 1.0000000
#> [1152,] 1.0000000
#> [1153,] 1.0000000
#> [1154,] 1.0000000
#> [1155,] 1.0000000
#> [1156,] 1.0000000
#> [1157,] 1.0000000
#> [1158,] 1.0000000
#> [1159,] 1.0000000
#> [1160,] 1.0000000
#> [1161,] 1.0000000
#> [1162,] 1.0000000
#> [1163,] 1.0000000
#> [1164,] 1.0000000
#> [1165,] 1.0000000
#> [1166,] 1.0000000
#> [1167,] 1.0000000
#> [1168,] 1.0000000
#> [1169,] 1.0000000
#> [1170,] 1.0000000
#> [1171,] 1.0000000
#> [1172,] 1.0000000
#> [1173,] 1.0000000
#> [1174,] 1.0000000
#> [1175,] 1.0000000
#> [1176,] 1.0000000
#> [1177,] 1.0000000
#> [1178,] 1.0000000
#> [1179,] 1.0000000
#> [1180,] 1.0000000
#> [1181,] 1.0000000
#> [1182,] 1.0000000
#> [1183,] 1.0000000
#> [1184,] 1.0000000
#> [1185,] 1.0000000
#> [1186,] 1.0000000
#> [1187,] 1.0000000
#> [1188,] 1.0000000
#> [1189,] 1.0000000
#> [1190,] 1.0000000
#> [1191,] 1.0000000
#> [1192,] 1.0000000
#> [1193,] 1.0000000
#> [1194,] 1.0000000
#> [1195,] 1.0000000
#> [1196,] 1.0000000
#> [1197,] 1.0000000
#> [1198,] 1.0000000
#> [1199,] 1.0000000
#> [1200,] 1.0000000
#> [1201,] 1.0000000
#> [1202,] 1.0000000
#> [1203,] 1.0000000
#> [1204,] 1.0000000
#> [1205,] 1.0000000
#> [1206,] 1.0000000
#> [1207,] 1.0000000
#> [1208,] 1.0000000
#> [1209,] 1.0000000
#> [1210,] 1.0000000
#> [1211,] 1.0000000
#> [1212,] 1.0000000
#> [1213,] 1.0000000
#> [1214,] 1.0000000
#> [1215,] 1.0000000
#> [1216,] 1.0000000
#> [1217,] 1.0000000
#> [1218,] 1.0000000
#> [1219,] 1.0000000
#> [1220,] 1.0000000
#> [1221,] 1.0000000
#> [1222,] 1.0000000
#> [1223,] 1.0000000
#> [1224,] 1.0000000
#> [1225,] 1.0000000
#> [1226,] 1.0000000
#> [1227,] 1.0000000
#> [1228,] 1.0000000
#> [1229,] 1.0000000
#> [1230,] 1.0000000
#> [1231,] 1.0000000
#> [1232,] 1.0000000
#> [1233,] 1.0000000
#> [1234,] 1.0000000
#> [1235,] 1.0000000
#> [1236,] 1.0000000
#> [1237,] 1.0000000
#> [1238,] 1.0000000
#> [1239,] 1.0000000
#> [1240,] 1.0000000
#> [1241,] 1.0000000
#> [1242,] 1.0000000
#> [1243,] 1.0000000
#> [1244,] 1.0000000
#> [1245,] 1.0000000
#> [1246,] 1.0000000
#> [1247,] 1.0000000
#> [1248,] 1.0000000
#> [1249,] 1.0000000
#> [1250,] 1.0000000
#> [1251,] 1.0000000
#> [1252,] 1.0000000
#> [1253,] 1.0000000
#> [1254,] 1.0000000
#> [1255,] 1.0000000
#> [1256,] 1.0000000
#> [1257,] 1.0000000
#> [1258,] 1.0000000
#> [1259,] 1.0000000
#> [1260,] 1.0000000
#> [1261,] 1.0000000
#> [1262,] 1.0000000
#> [1263,] 1.0000000
#> [1264,] 1.0000000
#> [1265,] 1.0000000
#> [1266,] 1.0000000
#> [1267,] 1.0000000
#> [1268,] 1.0000000
#> [1269,] 1.0000000
#> [1270,] 1.0000000
#> [1271,] 1.0000000
#> [1272,] 1.0000000
#> [1273,] 1.0000000
#> [1274,] 1.0000000
#> [1275,] 1.0000000
#> [1276,] 1.0000000
#> [1277,] 1.0000000
#> [1278,] 1.0000000
#> [1279,] 1.0000000
#> [1280,] 1.0000000
#> [1281,] 1.0000000
#> [1282,] 1.0000000
#> [1283,] 1.0000000
#> [1284,] 1.0000000
#> [1285,] 1.0000000
#> [1286,] 1.0000000
#> [1287,] 1.0000000
#> [1288,] 1.0000000
#> [1289,] 1.0000000
#> [1290,] 1.0000000
#> [1291,] 1.0000000
#> [1292,] 1.0000000
#> [1293,] 1.0000000
#> [1294,] 1.0000000
#> [1295,] 1.0000000
#> [1296,] 1.0000000
#> [1297,] 1.0000000
#> [1298,] 1.0000000
#> [1299,] 1.0000000
#> [1300,] 1.0000000
#> [1301,] 1.0000000
#> [1302,] 1.0000000
#> [1303,] 1.0000000
#> [1304,] 1.0000000
#> [1305,] 1.0000000
#> [1306,] 1.0000000
#> [1307,] 1.0000000
#> [1308,] 1.0000000
#> [1309,] 1.0000000
#> [1310,] 1.0000000
#> [1311,] 1.0000000
#> [1312,] 1.0000000
#> [1313,] 1.0000000
#> [1314,] 1.0000000
#> [1315,] 1.0000000
#> [1316,] 1.0000000
#> [1317,] 1.0000000
#> [1318,] 1.0000000
#> [1319,] 1.0000000
#> [1320,] 1.0000000
#> [1321,] 1.0000000
#> [1322,] 1.0000000
#> [1323,] 1.0000000
#> [1324,] 1.0000000
#> [1325,] 1.0000000
#> [1326,] 1.0000000
#> [1327,] 1.0000000
#> [1328,] 1.0000000
#> [1329,] 1.0000000
#> [1330,] 1.0000000
#> [1331,] 1.0000000
#> [1332,] 1.0000000
#> [1333,] 1.0000000
#> [1334,] 1.0000000
#> [1335,] 1.0000000
#> [1336,] 1.0000000
#> [1337,] 1.0000000
#> [1338,] 1.0000000
#> [1339,] 1.0000000
#> [1340,] 1.0000000
#> [1341,] 1.0000000
#> [1342,] 1.0000000
#> [1343,] 1.0000000
#> [1344,] 1.0000000
#> [1345,] 1.0000000
#> [1346,] 1.0000000
#> [1347,] 1.0000000
#> [1348,] 1.0000000
#> [1349,] 1.0000000
#> [1350,] 1.0000000
#> [1351,] 1.0000000
#> [1352,] 1.0000000
#> [1353,] 1.0000000
#> [1354,] 1.0000000
#> [1355,] 1.0000000
#> [1356,] 1.0000000
#> [1357,] 1.0000000
#> [1358,] 1.0000000
#> [1359,] 1.0000000
#> [1360,] 1.0000000
#> [1361,] 1.0000000
#> [1362,] 1.0000000
#> [1363,] 1.0000000
#> [1364,] 1.0000000
#> [1365,] 1.0000000
#> [1366,] 1.0000000
#> [1367,] 1.0000000
#> [1368,] 1.0000000
#> [1369,] 1.0000000
#> [1370,] 1.0000000
#> [1371,] 1.0000000
#> [1372,] 1.0000000
#> [1373,] 1.0000000
#> [1374,] 1.0000000
#> [1375,] 1.0000000
#> [1376,] 1.0000000
#> [1377,] 1.0000000
#> [1378,] 1.0000000
#> [1379,] 1.0000000
#> [1380,] 1.0000000
#> [1381,] 1.0000000
#> [1382,] 1.0000000
#> [1383,] 1.0000000
#> [1384,] 1.0000000
#> [1385,] 1.0000000
#> [1386,] 1.0000000
#> [1387,] 1.0000000
#> [1388,] 1.0000000
#> [1389,] 1.0000000
#> [1390,] 1.0000000
#> [1391,] 1.0000000
#> [1392,] 1.0000000
#> [1393,] 1.0000000
#> [1394,] 1.0000000
#> [1395,] 1.0000000
#> [1396,] 1.0000000
#> [1397,] 1.0000000
#> [1398,] 1.0000000
#> [1399,] 1.0000000
#> [1400,] 1.0000000
#> [1401,] 1.0000000
#> [1402,] 1.0000000
#> [1403,] 1.0000000
#> [1404,] 1.0000000
#> [1405,] 1.0000000
#> [1406,] 1.0000000
#> [1407,] 1.0000000
#> [1408,] 1.0000000
#> [1409,] 1.0000000
#> [1410,] 1.0000000
#> [1411,] 1.0000000
#> [1412,] 1.0000000
#> [1413,] 1.0000000
#> [1414,] 1.0000000
#> [1415,] 1.0000000
#> [1416,] 1.0000000
#> [1417,] 1.0000000
#> [1418,] 1.0000000
#> [1419,] 1.0000000
#> [1420,] 1.0000000
#> [1421,] 1.0000000
#> [1422,] 1.0000000
#> [1423,] 1.0000000
#> [1424,] 1.0000000
#> [1425,] 1.0000000
#> [1426,] 1.0000000
#> [1427,] 1.0000000
#> [1428,] 1.0000000
#> [1429,] 1.0000000
#> [1430,] 1.0000000
#> [1431,] 1.0000000
#> [1432,] 1.0000000
#> [1433,] 1.0000000
#> [1434,] 1.0000000
#> [1435,] 1.0000000
#> [1436,] 1.0000000
#> [1437,] 1.0000000
#> [1438,] 1.0000000
#> [1439,] 1.0000000
#> [1440,] 1.0000000
#> [1441,] 1.0000000
#> [1442,] 1.0000000
#> [1443,] 1.0000000
#> [1444,] 1.0000000
#> [1445,] 1.0000000
#> [1446,] 1.0000000
#> [1447,] 1.0000000
#> [1448,] 1.0000000
#> [1449,] 1.0000000
#> [1450,] 1.0000000
#> [1451,] 1.0000000
#> [1452,] 1.0000000
#> [1453,] 1.0000000
#> [1454,] 1.0000000
#> [1455,] 1.0000000
#> [1456,] 1.0000000
#> [1457,] 1.0000000
#> [1458,] 1.0000000
#> [1459,] 1.0000000
#> [1460,] 1.0000000
#> [1461,] 1.0000000
#> [1462,] 1.0000000
#> [1463,] 1.0000000
#> [1464,] 1.0000000
#> [1465,] 1.0000000
#> [1466,] 1.0000000
#> [1467,] 1.0000000
#> [1468,] 1.0000000
#> [1469,] 1.0000000
#> [1470,] 1.0000000
#> [1471,] 1.0000000
#> [1472,] 1.0000000
#> [1473,] 1.0000000
#> [1474,] 1.0000000
#> [1475,] 1.0000000
#> [1476,] 1.0000000
#> [1477,] 1.0000000
#> [1478,] 1.0000000
#> [1479,] 1.0000000
#> [1480,] 1.0000000
#> [1481,] 1.0000000
#> [1482,] 1.0000000
#> [1483,] 1.0000000
#> [1484,] 1.0000000
#> [1485,] 1.0000000
#> [1486,] 1.0000000
#> [1487,] 1.0000000
#> [1488,] 1.0000000
#> [1489,] 1.0000000
#> [1490,] 1.0000000
#> [1491,] 1.0000000
#> [1492,] 1.0000000
#> [1493,] 1.0000000
#> [1494,] 1.0000000
#> [1495,] 1.0000000
#> [1496,] 1.0000000
#> [1497,] 1.0000000
#> [1498,] 1.0000000
#> [1499,] 1.0000000
#> [1500,] 1.0000000
#> [1501,] 1.0000000
#> [1502,] 1.0000000
#> [1503,] 1.0000000
#> [1504,] 1.0000000
#> [1505,] 1.0000000
#> [1506,] 1.0000000
#> [1507,] 1.0000000
#> [1508,] 1.0000000
#> [1509,] 1.0000000
#> [1510,] 1.0000000
#> [1511,] 1.0000000
#> [1512,] 1.0000000
#> [1513,] 1.0000000
#> [1514,] 1.0000000
#> [1515,] 1.0000000
#> [1516,] 1.0000000
#> [1517,] 1.0000000
#> [1518,] 1.0000000
#> [1519,] 1.0000000
#> [1520,] 1.0000000
#> [1521,] 1.0000000
#> [1522,] 1.0000000
#> [1523,] 1.0000000
#> [1524,] 1.0000000
#> [1525,] 1.0000000
#> [1526,] 1.0000000
#> [1527,] 1.0000000
#> [1528,] 1.0000000
#> [1529,] 1.0000000
#> [1530,] 1.0000000
#> [1531,] 1.0000000
#> [1532,] 1.0000000
#> [1533,] 1.0000000
#> [1534,] 1.0000000
#> [1535,] 1.0000000
#> [1536,] 1.0000000
#> [1537,] 1.0000000
#> [1538,] 1.0000000
#> [1539,] 1.0000000
#> [1540,] 1.0000000
#> [1541,] 1.0000000
#> [1542,] 1.0000000
#> [1543,] 1.0000000
#> [1544,] 1.0000000
#> [1545,] 1.0000000
#> [1546,] 1.0000000
#> [1547,] 1.0000000
#> [1548,] 1.0000000
#> [1549,] 1.0000000
#> [1550,] 1.0000000
#> [1551,] 1.0000000
#> [1552,] 1.0000000
#> [1553,] 1.0000000
#> [1554,] 1.0000000
#> [1555,] 1.0000000
#> [1556,] 1.0000000
#> [1557,] 1.0000000
#> [1558,] 1.0000000
#> [1559,] 1.0000000
#> [1560,] 1.0000000
#> [1561,] 1.0000000
#> [1562,] 1.0000000
#> [1563,] 1.0000000
#> [1564,] 1.0000000
#> [1565,] 1.0000000
#> [1566,] 1.0000000
#> [1567,] 1.0000000
#> [1568,] 1.0000000
#> [1569,] 1.0000000
#> [1570,] 1.0000000
#> [1571,] 1.0000000
#> [1572,] 1.0000000
#> [1573,] 1.0000000
#> [1574,] 1.0000000
#> [1575,] 1.0000000
#> [1576,] 1.0000000
#> [1577,] 1.0000000
#> [1578,] 1.0000000
#> [1579,] 1.0000000
#> [1580,] 1.0000000
#> [1581,] 1.0000000
#> [1582,] 1.0000000
#> [1583,] 1.0000000
#> [1584,] 1.0000000
#> [1585,] 1.0000000
#> [1586,] 1.0000000
#> [1587,] 1.0000000
#> [1588,] 1.0000000
#> [1589,] 1.0000000
#> [1590,] 1.0000000
#> [1591,] 1.0000000
#> [1592,] 1.0000000
#> [1593,] 1.0000000
#> [1594,] 1.0000000
#> [1595,] 1.0000000
#> [1596,] 1.0000000
#> [1597,] 1.0000000
#> [1598,] 1.0000000
#> [1599,] 1.0000000
#> [1600,] 1.0000000
#> [1601,] 1.0000000
#> [1602,] 1.0000000
#> [1603,] 1.0000000
#> [1604,] 1.0000000
#> [1605,] 1.0000000
#> [1606,] 1.0000000
#> [1607,] 1.0000000
#> [1608,] 1.0000000
#> [1609,] 1.0000000
#> [1610,] 1.0000000
#> [1611,] 1.0000000
#> [1612,] 1.0000000
#> [1613,] 1.0000000
#> [1614,] 1.0000000
#> [1615,] 1.0000000
#> [1616,] 1.0000000
#> [1617,] 1.0000000
#> [1618,] 1.0000000
#> [1619,] 1.0000000
#> [1620,] 1.0000000
#> [1621,] 1.0000000
#> [1622,] 1.0000000
#> [1623,] 1.0000000
#> [1624,] 1.0000000
#> [1625,] 1.0000000
#> [1626,] 1.0000000
#> [1627,] 1.0000000
#> [1628,] 1.0000000
#> [1629,] 1.0000000
#> [1630,] 1.0000000
#> [1631,] 1.0000000
#> [1632,] 1.0000000
#> [1633,] 1.0000000
#> [1634,] 1.0000000
#> [1635,] 1.0000000
#> [1636,] 1.0000000
#> [1637,] 1.0000000
#> [1638,] 1.0000000
#> [1639,] 1.0000000
#> [1640,] 1.0000000
#> [1641,] 1.0000000
#> [1642,] 1.0000000
#> [1643,] 1.0000000
#> [1644,] 1.0000000
#> [1645,] 1.0000000
#> [1646,] 1.0000000
#> [1647,] 1.0000000
#> [1648,] 1.0000000
#> [1649,] 1.0000000
#> [1650,] 1.0000000
#> [1651,] 1.0000000
#> [1652,] 1.0000000
#> [1653,] 1.0000000
#> [1654,] 1.0000000
#> [1655,] 1.0000000
#> [1656,] 1.0000000
#> [1657,] 1.0000000
#> [1658,] 1.0000000
#> [1659,] 1.0000000
#> [1660,] 1.0000000
#> [1661,] 1.0000000
#> [1662,] 1.0000000
#> [1663,] 1.0000000
#> [1664,] 1.0000000
#> [1665,] 1.0000000
#> [1666,] 1.0000000
#> [1667,] 1.0000000
#> [1668,] 1.0000000
#> [1669,] 1.0000000
#> [1670,] 1.0000000
#> [1671,] 1.0000000
#> [1672,] 1.0000000
#> [1673,] 1.0000000
#> [1674,] 1.0000000
#> [1675,] 1.0000000
#> [1676,] 1.0000000
#> [1677,] 1.0000000
#> [1678,] 1.0000000
#> [1679,] 1.0000000
#> [1680,] 1.0000000
#> [1681,] 1.0000000
#> [1682,] 1.0000000
#> [1683,] 1.0000000
#> [1684,] 1.0000000
#> [1685,] 1.0000000
#> [1686,] 1.0000000
#> [1687,] 1.0000000
#> [1688,] 1.0000000
#> [1689,] 1.0000000
#> [1690,] 1.0000000
#> [1691,] 1.0000000
#> [1692,] 1.0000000
#> [1693,] 1.0000000
#> [1694,] 1.0000000
#> [1695,] 1.0000000
#> [1696,] 1.0000000
#> [1697,] 1.0000000
#> [1698,] 1.0000000
#> [1699,] 1.0000000
#> [1700,] 1.0000000
#> [1701,] 1.0000000
#> [1702,] 1.0000000
#> [1703,] 1.0000000
#> [1704,] 1.0000000
#> [1705,] 1.0000000
#> [1706,] 1.0000000
#> [1707,] 1.0000000
#> [1708,] 1.0000000
#> [1709,] 1.0000000
#> [1710,] 1.0000000
#> [1711,] 1.0000000
#> [1712,] 1.0000000
#> [1713,] 1.0000000
#> [1714,] 1.0000000
#> [1715,] 1.0000000
#> [1716,] 1.0000000
#> [1717,] 1.0000000
#> [1718,] 1.0000000
#> [1719,] 1.0000000
#> [1720,] 1.0000000
#> [1721,] 1.0000000
#> [1722,] 1.0000000
#> [1723,] 1.0000000
#> [1724,] 1.0000000
#> [1725,] 1.0000000
#> [1726,] 1.0000000
#> [1727,] 1.0000000
#> [1728,] 1.0000000
#> [1729,] 1.0000000
#> [1730,] 1.0000000
#> [1731,] 1.0000000
#> [1732,] 1.0000000
#> [1733,] 1.0000000
#> [1734,] 1.0000000
#> [1735,] 1.0000000
#> [1736,] 1.0000000
#> [1737,] 1.0000000
#> [1738,] 1.0000000
#> [1739,] 1.0000000
#> [1740,] 1.0000000
#> [1741,] 1.0000000
#> [1742,] 1.0000000
#> [1743,] 1.0000000
#> [1744,] 1.0000000
#> [1745,] 1.0000000
#> [1746,] 1.0000000
#> [1747,] 1.0000000
#> [1748,] 1.0000000
#> [1749,] 1.0000000
#> [1750,] 1.0000000
#> [1751,] 1.0000000
#> [1752,] 1.0000000
#> [1753,] 1.0000000
#> [1754,] 1.0000000
#> [1755,] 1.0000000
#> [1756,] 1.0000000
#> [1757,] 1.0000000
#> [1758,] 1.0000000
#> [1759,] 1.0000000
#> [1760,] 1.0000000
#> [1761,] 1.0000000
#> [1762,] 1.0000000
#> [1763,] 1.0000000
#> [1764,] 1.0000000
#> [1765,] 1.0000000
#> [1766,] 1.0000000
#> [1767,] 1.0000000
#> [1768,] 1.0000000
#> [1769,] 1.0000000
#> [1770,] 1.0000000
#> [1771,] 1.0000000
#> [1772,] 1.0000000
#> [1773,] 1.0000000
#> [1774,] 1.0000000
#> [1775,] 1.0000000
#> [1776,] 1.0000000
#> [1777,] 1.0000000
#> [1778,] 1.0000000
#> [1779,] 1.0000000
#> [1780,] 1.0000000
#> [1781,] 1.0000000
#> [1782,] 1.0000000
#> [1783,] 1.0000000
#> [1784,] 1.0000000
#> [1785,] 1.0000000
#> [1786,] 1.0000000
#> [1787,] 1.0000000
#> [1788,] 1.0000000
#> [1789,] 1.0000000
#> [1790,] 1.0000000
#> [1791,] 1.0000000
#> [1792,] 1.0000000
#> [1793,] 1.0000000
#> [1794,] 1.0000000
#> [1795,] 1.0000000
#> [1796,] 1.0000000
#> [1797,] 1.0000000
#> [1798,] 1.0000000
#> [1799,] 1.0000000
#> [1800,] 1.0000000
#> [1801,] 1.0000000
#> [1802,] 1.0000000
#> [1803,] 1.0000000
#> [1804,] 1.0000000
#> [1805,] 1.0000000
#> [1806,] 1.0000000
#> [1807,] 1.0000000
#> [1808,] 1.0000000
#> [1809,] 1.0000000
#> [1810,] 1.0000000
#> [1811,] 1.0000000
#> [1812,] 1.0000000
#> [1813,] 1.0000000
#> [1814,] 1.0000000
#> [1815,] 1.0000000
#> [1816,] 1.0000000
#> [1817,] 1.0000000
#> [1818,] 1.0000000
#> [1819,] 1.0000000
#> [1820,] 1.0000000
#> [1821,] 1.0000000
#> [1822,] 1.0000000
#> [1823,] 1.0000000
#> [1824,] 1.0000000
#> [1825,] 1.0000000
#> [1826,] 1.0000000
#> [1827,] 1.0000000
#> [1828,] 1.0000000
#> [1829,] 1.0000000
#> [1830,] 1.0000000
#> [1831,] 1.0000000
#> [1832,] 1.0000000
#> [1833,] 1.0000000
#> [1834,] 1.0000000
#> [1835,] 1.0000000
#> [1836,] 1.0000000
#> [1837,] 1.0000000
#> [1838,] 1.0000000
#> [1839,] 1.0000000
#> [1840,] 1.0000000
#> [1841,] 1.0000000
#> [1842,] 1.0000000
#> [1843,] 1.0000000
#> [1844,] 1.0000000
#> [1845,] 1.0000000
#> [1846,] 1.0000000
#> [1847,] 1.0000000
#> [1848,] 1.0000000
#> [1849,] 1.0000000
#> [1850,] 1.0000000
#> [1851,] 1.0000000
#> [1852,] 1.0000000
#> [1853,] 1.0000000
#> [1854,] 1.0000000
#> [1855,] 1.0000000
#> [1856,] 1.0000000
#> [1857,] 1.0000000
#> [1858,] 1.0000000
#> [1859,] 1.0000000
#> [1860,] 1.0000000
#> [1861,] 1.0000000
#> [1862,] 1.0000000
#> [1863,] 1.0000000
#> [1864,] 1.0000000
#> [1865,] 1.0000000
#> [1866,] 1.0000000
#> [1867,] 1.0000000
#> [1868,] 1.0000000
#> [1869,] 1.0000000
#> [1870,] 1.0000000
#> [1871,] 1.0000000
#> [1872,] 1.0000000
#> [1873,] 1.0000000
#> [1874,] 1.0000000
#> [1875,] 1.0000000
#> [1876,] 1.0000000
#> [1877,] 1.0000000
#> [1878,] 1.0000000
#> [1879,] 1.0000000
#> [1880,] 1.0000000
#> [1881,] 1.0000000
#> [1882,] 1.0000000
#> [1883,] 1.0000000
#> [1884,] 1.0000000
#> [1885,] 1.0000000
#> [1886,] 1.0000000
#> [1887,] 1.0000000
#> [1888,] 1.0000000
#> [1889,] 1.0000000
#> [1890,] 1.0000000
#> [1891,] 1.0000000
#> [1892,] 1.0000000
#> [1893,] 1.0000000
#> [1894,] 1.0000000
#> [1895,] 1.0000000
#> [1896,] 1.0000000
#> [1897,] 1.0000000
#> [1898,] 1.0000000
#> [1899,] 1.0000000
#> [1900,] 1.0000000
#> [1901,] 1.0000000
#> [1902,] 1.0000000
#> [1903,] 1.0000000
#> [1904,] 1.0000000
#> [1905,] 1.0000000
#> [1906,] 1.0000000
#> [1907,] 1.0000000
#> [1908,] 1.0000000
#> [1909,] 1.0000000
#> [1910,] 1.0000000
#> [1911,] 1.0000000
#> [1912,] 1.0000000
#> [1913,] 1.0000000
#> [1914,] 1.0000000
#> [1915,] 1.0000000
#> [1916,] 1.0000000
#> [1917,] 1.0000000
#> [1918,] 1.0000000
#> [1919,] 1.0000000
#> [1920,] 1.0000000
#> [1921,] 1.0000000
#> [1922,] 1.0000000
#> [1923,] 1.0000000
#> [1924,] 1.0000000
#> [1925,] 1.0000000
#> [1926,] 1.0000000
#> [1927,] 1.0000000
#> [1928,] 1.0000000
#> [1929,] 1.0000000
#> [1930,] 1.0000000
#> [1931,] 1.0000000
#> [1932,] 1.0000000
#> [1933,] 1.0000000
#> [1934,] 1.0000000
#> [1935,] 1.0000000
#> [1936,] 1.0000000
#> [1937,] 1.0000000
#> [1938,] 1.0000000
#> [1939,] 1.0000000
#> [1940,] 1.0000000
#> [1941,] 1.0000000
#> [1942,] 1.0000000
#> [1943,] 1.0000000
#> [1944,] 1.0000000
#> [1945,] 1.0000000
#> [1946,] 1.0000000
#> [1947,] 1.0000000
#> [1948,] 1.0000000
#> [1949,] 1.0000000
#> [1950,] 1.0000000
#> [1951,] 1.0000000
#> [1952,] 1.0000000
#> [1953,] 1.0000000
#> [1954,] 1.0000000
#> [1955,] 1.0000000
#> [1956,] 1.0000000
#> [1957,] 1.0000000
#> [1958,] 1.0000000
#> [1959,] 1.0000000
#> [1960,] 1.0000000
#> [1961,] 1.0000000
#> [1962,] 1.0000000
#> [1963,] 1.0000000
#> [1964,] 1.0000000
#> [1965,] 1.0000000
#> [1966,] 1.0000000
#> [1967,] 1.0000000
#> [1968,] 1.0000000
#> [1969,] 1.0000000
#> [1970,] 1.0000000
#> [1971,] 1.0000000
#> [1972,] 1.0000000
#> [1973,] 1.0000000
#> [1974,] 1.0000000
#> [1975,] 1.0000000
#> [1976,] 1.0000000
#> [1977,] 1.0000000
#> [1978,] 1.0000000
#> [1979,] 1.0000000
#> [1980,] 1.0000000
#> [1981,] 1.0000000
#> [1982,] 1.0000000
#> [1983,] 1.0000000
#> [1984,] 1.0000000
#> [1985,] 1.0000000
#> [1986,] 1.0000000
#> [1987,] 1.0000000
#> [1988,] 1.0000000
#> [1989,] 1.0000000
#> [1990,] 1.0000000
#> [1991,] 1.0000000
#> [1992,] 1.0000000
#> [1993,] 1.0000000
#> [1994,] 1.0000000
#> [1995,] 1.0000000
#> [1996,] 1.0000000
#> [1997,] 1.0000000
#> [1998,] 1.0000000
#> [1999,] 1.0000000
#> [2000,] 1.0000000
#> [2001,] 1.0000000
#> [2002,] 1.0000000
#> [2003,] 1.0000000
#> [2004,] 1.0000000
#> [2005,] 1.0000000
#> [2006,] 1.0000000
#> [2007,] 1.0000000
#> [2008,] 1.0000000
#> [2009,] 1.0000000
#> [2010,] 1.0000000
#> [2011,] 1.0000000
#> [2012,] 1.0000000
#> [2013,] 1.0000000
#> [2014,] 1.0000000
#> [2015,] 1.0000000
#> [2016,] 1.0000000
#> [2017,] 1.0000000
#> [2018,] 1.0000000
#> [2019,] 1.0000000
#> [2020,] 1.0000000
#> [2021,] 1.0000000
#> [2022,] 1.0000000
#> [2023,] 1.0000000
#> [2024,] 1.0000000
#> [2025,] 1.0000000
#> [2026,] 1.0000000
#> [2027,] 1.0000000
#> [2028,] 1.0000000
#> [2029,] 1.0000000
#> [2030,] 1.0000000
#> [2031,] 1.0000000
#> [2032,] 1.0000000
#> [2033,] 1.0000000
#> [2034,] 1.0000000
#> [2035,] 1.0000000
#> [2036,] 1.0000000
#> [2037,] 1.0000000
#> [2038,] 1.0000000
#> [2039,] 1.0000000
#> [2040,] 1.0000000
#> [2041,] 1.0000000
#> [2042,] 1.0000000
#> [2043,] 1.0000000
#> [2044,] 1.0000000
#> [2045,] 1.0000000
#> [2046,] 1.0000000
#> [2047,] 1.0000000
#> [2048,] 1.0000000
#> [2049,] 1.0000000
#> [2050,] 1.0000000
#> [2051,] 1.0000000
#> [2052,] 1.0000000
#> [2053,] 1.0000000
#> [2054,] 1.0000000
#> [2055,] 1.0000000
#> [2056,] 1.0000000
#> [2057,] 1.0000000
#> [2058,] 1.0000000
#> [2059,] 1.0000000
#> [2060,] 1.0000000
#> [2061,] 1.0000000
#> [2062,] 1.0000000
#> [2063,] 1.0000000
#> [2064,] 1.0000000
#> [2065,] 1.0000000
#> [2066,] 1.0000000
#> [2067,] 1.0000000
#> [2068,] 1.0000000
#> [2069,] 1.0000000
#> [2070,] 1.0000000
#> [2071,] 1.0000000
#> [2072,] 1.0000000
#> [2073,] 1.0000000
#> [2074,] 1.0000000
#> [2075,] 1.0000000
#> [2076,] 1.0000000
#> [2077,] 1.0000000
#> [2078,] 1.0000000
#> [2079,] 1.0000000
#> [2080,] 1.0000000
#> [2081,] 1.0000000
#> [2082,] 1.0000000
#> [2083,] 1.0000000
#> [2084,] 1.0000000
#> [2085,] 1.0000000
#> [2086,] 1.0000000
#> [2087,] 1.0000000
#> [2088,] 1.0000000
#> [2089,] 1.0000000
#> [2090,] 1.0000000
#> [2091,] 1.0000000
#> [2092,] 1.0000000
#> [2093,] 1.0000000
#> [2094,] 1.0000000
#> [2095,] 1.0000000
#> [2096,] 1.0000000
#> [2097,] 1.0000000
#> [2098,] 1.0000000
#> [2099,] 1.0000000
#> [2100,] 1.0000000
#> [2101,] 1.0000000
#> [2102,] 1.0000000
#> [2103,] 1.0000000
#> [2104,] 1.0000000
#> [2105,] 1.0000000
#> [2106,] 1.0000000
#> [2107,] 1.0000000
#> [2108,] 1.0000000
#> [2109,] 1.0000000
#> [2110,] 1.0000000
#> [2111,] 1.0000000
#> [2112,] 1.0000000
#> [2113,] 1.0000000
#> [2114,] 1.0000000
#> [2115,] 1.0000000
#> [2116,] 1.0000000
#> [2117,] 1.0000000
#> [2118,] 1.0000000
#> [2119,] 1.0000000
#> [2120,] 1.0000000
#> [2121,] 1.0000000
#> [2122,] 1.0000000
#> [2123,] 1.0000000
#> [2124,] 1.0000000
#> [2125,] 1.0000000
#> [2126,] 1.0000000
#> [2127,] 1.0000000
#> [2128,] 1.0000000
#> [2129,] 1.0000000
#> [2130,] 1.0000000
#> [2131,] 1.0000000
#> [2132,] 1.0000000
#> [2133,] 1.0000000
#> [2134,] 1.0000000
#> [2135,] 1.0000000
#> [2136,] 1.0000000
#> [2137,] 1.0000000
#> [2138,] 1.0000000
#> [2139,] 1.0000000
#> [2140,] 1.0000000
#> [2141,] 1.0000000
#> [2142,] 1.0000000
#> [2143,] 1.0000000
#> [2144,] 1.0000000
#> [2145,] 1.0000000
#> [2146,] 1.0000000
#> [2147,] 1.0000000
#> [2148,] 1.0000000
#> [2149,] 1.0000000
#> [2150,] 1.0000000
#> [2151,] 1.0000000
#> [2152,] 1.0000000
#> [2153,] 1.0000000
#> [2154,] 1.0000000
#> [2155,] 1.0000000
#> [2156,] 1.0000000
#> [2157,] 1.0000000
#> [2158,] 1.0000000
#> [2159,] 1.0000000
#> [2160,] 1.0000000
#> [2161,] 1.0000000
#> [2162,] 1.0000000
#> [2163,] 1.0000000
#> [2164,] 1.0000000
#> [2165,] 1.0000000
#> [2166,] 1.0000000
#> [2167,] 1.0000000
#> [2168,] 1.0000000
#> [2169,] 1.0000000
#> [2170,] 1.0000000
#> [2171,] 1.0000000
#> [2172,] 1.0000000
#> [2173,] 1.0000000
#> [2174,] 1.0000000
#> [2175,] 1.0000000
#> [2176,] 1.0000000
#> [2177,] 1.0000000
#> [2178,] 1.0000000
#> [2179,] 1.0000000
#> [2180,] 1.0000000
#> [2181,] 1.0000000
#> [2182,] 1.0000000
#> [2183,] 1.0000000
#> [2184,] 1.0000000
#> [2185,] 1.0000000
#> [2186,] 1.0000000
#> [2187,] 1.0000000
#> [2188,] 1.0000000
#> [2189,] 1.0000000
#> [2190,] 1.0000000
#> [2191,] 1.0000000
#> [2192,] 1.0000000
#> [2193,] 1.0000000
#> [2194,] 1.0000000
#> [2195,] 1.0000000
#> [2196,] 1.0000000
#> [2197,] 1.0000000
#> [2198,] 1.0000000
#> [2199,] 1.0000000
#> [2200,] 1.0000000
#> [2201,] 1.0000000
#> [2202,] 1.0000000
#> [2203,] 1.0000000
#> [2204,] 1.0000000
#> [2205,] 1.0000000
#> [2206,] 1.0000000
#> [2207,] 1.0000000
#> [2208,] 1.0000000
#> [2209,] 1.0000000
#> [2210,] 1.0000000
#> [2211,] 1.0000000
#> [2212,] 1.0000000
#> [2213,] 1.0000000
#> [2214,] 1.0000000
#> [2215,] 1.0000000
#> [2216,] 1.0000000
#> [2217,] 1.0000000
#> [2218,] 1.0000000
#> [2219,] 1.0000000
#> [2220,] 1.0000000
#> [2221,] 1.0000000
#> [2222,] 1.0000000
#> [2223,] 1.0000000
#> [2224,] 1.0000000
#> [2225,] 1.0000000
#> [2226,] 1.0000000
#> [2227,] 1.0000000
#> [2228,] 1.0000000
#> [2229,] 1.0000000
#> [2230,] 1.0000000
#> [2231,] 1.0000000
#> [2232,] 1.0000000
#> [2233,] 1.0000000
#> [2234,] 1.0000000
#> [2235,] 1.0000000
#> [2236,] 1.0000000
#> [2237,] 1.0000000
#> [2238,] 1.0000000
#> [2239,] 1.0000000
#> [2240,] 1.0000000
#> [2241,] 1.0000000
#> [2242,] 1.0000000
#> [2243,] 1.0000000
#> [2244,] 1.0000000
#> [2245,] 1.0000000
#> [2246,] 1.0000000
#> [2247,] 1.0000000
#> [2248,] 1.0000000
#> [2249,] 1.0000000
#> [2250,] 1.0000000
#> [2251,] 1.0000000
#> [2252,] 1.0000000
#> [2253,] 1.0000000
#> [2254,] 1.0000000
#> [2255,] 1.0000000
#> [2256,] 1.0000000
#> [2257,] 1.0000000
#> [2258,] 1.0000000
#> [2259,] 1.0000000
#> [2260,] 1.0000000
#> [2261,] 1.0000000
#> [2262,] 1.0000000
#> [2263,] 1.0000000
#> [2264,] 1.0000000
#> [2265,] 1.0000000
#> [2266,] 1.0000000
#> [2267,] 1.0000000
#> [2268,] 1.0000000
#> [2269,] 1.0000000
#> [2270,] 1.0000000
#> [2271,] 1.0000000
#> [2272,] 1.0000000
#> [2273,] 1.0000000
#> [2274,] 1.0000000
#> [2275,] 1.0000000
#> [2276,] 1.0000000
#> [2277,] 1.0000000
#> [2278,] 1.0000000
#> [2279,] 1.0000000
#> [2280,] 1.0000000
#> [2281,] 1.0000000
#> [2282,] 1.0000000
#> [2283,] 1.0000000
#> [2284,] 1.0000000
#> [2285,] 1.0000000
#> [2286,] 1.0000000
#> [2287,] 1.0000000
#> [2288,] 1.0000000
#> [2289,] 1.0000000
#> [2290,] 1.0000000
#> [2291,] 1.0000000
#> [2292,] 1.0000000
#> [2293,] 1.0000000
#> [2294,] 1.0000000
#> [2295,] 1.0000000
#> [2296,] 1.0000000
#> [2297,] 1.0000000
#> [2298,] 1.0000000
#> [2299,] 1.0000000
#> [2300,] 1.0000000
#> [2301,] 1.0000000
#> [2302,] 1.0000000
#> [2303,] 1.0000000
#> [2304,] 1.0000000
#> [2305,] 1.0000000
#> [2306,] 1.0000000
#> [2307,] 1.0000000
#> [2308,] 1.0000000
#> [2309,] 1.0000000
#> [2310,] 1.0000000
#> [2311,] 1.0000000
#> [2312,] 1.0000000
#> [2313,] 1.0000000
#> [2314,] 1.0000000
#> [2315,] 1.0000000
#> [2316,] 1.0000000
#> [2317,] 1.0000000
#> [2318,] 1.0000000
#> [2319,] 1.0000000
#> [2320,] 1.0000000
#> [2321,] 1.0000000
#> [2322,] 1.0000000
#> [2323,] 1.0000000
#> [2324,] 1.0000000
#> [2325,] 1.0000000
#> [2326,] 1.0000000
#> [2327,] 1.0000000
#> [2328,] 1.0000000
#> [2329,] 1.0000000
#> [2330,] 1.0000000
#> [2331,] 1.0000000
#> [2332,] 1.0000000
#> [2333,] 1.0000000
#> [2334,] 1.0000000
#> [2335,] 1.0000000
#> [2336,] 1.0000000
#> [2337,] 1.0000000
#> [2338,] 1.0000000
#> [2339,] 1.0000000
#> [2340,] 1.0000000
#> [2341,] 1.0000000
#> [2342,] 1.0000000
#> [2343,] 1.0000000
#> [2344,] 1.0000000
#> [2345,] 1.0000000
#> [2346,] 1.0000000
#> [2347,] 1.0000000
#> [2348,] 1.0000000
#> [2349,] 1.0000000
#> [2350,] 1.0000000
#> [2351,] 1.0000000
#> [2352,] 1.0000000
#> [2353,] 1.0000000
#> [2354,] 1.0000000
#> [2355,] 1.0000000
#> [2356,] 1.0000000
#> [2357,] 1.0000000
#> [2358,] 1.0000000
#> [2359,] 1.0000000
#> [2360,] 1.0000000
#> [2361,] 1.0000000
#> [2362,] 1.0000000
#> [2363,] 1.0000000
#> [2364,] 1.0000000
#> [2365,] 1.0000000
#> [2366,] 1.0000000
#> [2367,] 1.0000000
#> [2368,] 1.0000000
#> [2369,] 1.0000000
#> [2370,] 1.0000000
#> [2371,] 1.0000000
#> [2372,] 1.0000000
#> [2373,] 1.0000000
#> [2374,] 1.0000000
#> [2375,] 1.0000000
#> [2376,] 1.0000000
#> [2377,] 1.0000000
#> [2378,] 1.0000000
#> [2379,] 1.0000000
#> [2380,] 1.0000000
#> [2381,] 1.0000000
#> [2382,] 1.0000000
#> [2383,] 1.0000000
#> [2384,] 1.0000000
#> [2385,] 1.0000000
#> [2386,] 1.0000000
#> [2387,] 1.0000000
#> [2388,] 1.0000000
#> [2389,] 1.0000000
#> [2390,] 1.0000000
#> [2391,] 1.0000000
#> [2392,] 1.0000000
#> [2393,] 1.0000000
#> [2394,] 1.0000000
#> [2395,] 1.0000000
#> [2396,] 1.0000000
#> [2397,] 1.0000000
#> [2398,] 1.0000000
#> [2399,] 1.0000000
#> [2400,] 1.0000000
#> [2401,] 1.0000000
#> [2402,] 1.0000000
#> [2403,] 1.0000000
#> [2404,] 1.0000000
#> [2405,] 1.0000000
#> [2406,] 1.0000000
#> [2407,] 1.0000000
#> [2408,] 1.0000000
#> [2409,] 1.0000000
#> [2410,] 1.0000000
#> [2411,] 1.0000000
#> [2412,] 1.0000000
#> [2413,] 1.0000000
#> [2414,] 1.0000000
#> [2415,] 1.0000000
#> [2416,] 1.0000000
#> [2417,] 1.0000000
#> [2418,] 1.0000000
#> [2419,] 1.0000000
#> [2420,] 1.0000000
#> [2421,] 1.0000000
#> [2422,] 1.0000000
#> [2423,] 1.0000000
#> [2424,] 1.0000000
#> [2425,] 1.0000000
#> [2426,] 1.0000000
#> [2427,] 1.0000000
#> [2428,] 1.0000000
#> [2429,] 1.0000000
#> [2430,] 1.0000000
#> [2431,] 1.0000000
#> [2432,] 1.0000000
#> [2433,] 1.0000000
#> [2434,] 1.0000000
#> [2435,] 1.0000000
#> [2436,] 1.0000000
#> [2437,] 1.0000000
#> [2438,] 1.0000000
#> [2439,] 1.0000000
#> [2440,] 1.0000000
#> [2441,] 1.0000000
#> [2442,] 1.0000000
#> [2443,] 1.0000000
#> [2444,] 1.0000000
#> [2445,] 1.0000000
#> [2446,] 1.0000000
#> [2447,] 1.0000000
#> [2448,] 1.0000000
#> [2449,] 1.0000000
#> [2450,] 1.0000000
#> [2451,] 1.0000000
#> [2452,] 1.0000000
#> [2453,] 1.0000000
#> [2454,] 1.0000000
#> [2455,] 1.0000000
#> [2456,] 1.0000000
#> [2457,] 1.0000000
#> [2458,] 1.0000000
#> [2459,] 1.0000000
#> [2460,] 1.0000000
#> [2461,] 1.0000000
#> [2462,] 1.0000000
#> [2463,] 1.0000000
#> [2464,] 1.0000000
#> [2465,] 1.0000000
#> [2466,] 1.0000000
#> [2467,] 1.0000000
#> [2468,] 1.0000000
#> [2469,] 1.0000000
#> [2470,] 1.0000000
#> [2471,] 1.0000000
#> [2472,] 1.0000000
#> [2473,] 1.0000000
#> [2474,] 1.0000000
#> [2475,] 1.0000000
#> [2476,] 1.0000000
#> [2477,] 1.0000000
#> [2478,] 1.0000000
#> [2479,] 1.0000000
#> [2480,] 1.0000000
#> [2481,] 1.0000000
#> [2482,] 1.0000000
#> [2483,] 1.0000000
#> [2484,] 1.0000000
#> [2485,] 1.0000000
#> [2486,] 1.0000000
#> [2487,] 1.0000000
#> [2488,] 1.0000000
#> [2489,] 1.0000000
#> [2490,] 1.0000000
#> [2491,] 1.0000000
#> [2492,] 1.0000000
#> [2493,] 1.0000000
#> [2494,] 1.0000000
#> [2495,] 1.0000000
#> [2496,] 1.0000000
#> [2497,] 1.0000000
#> [2498,] 1.0000000
#> [2499,] 1.0000000
#> [2500,] 1.0000000
#> [2501,] 1.0000000
#> [2502,] 1.0000000
#> [2503,] 1.0000000
#> [2504,] 1.0000000
#> [2505,] 1.0000000
#> [2506,] 1.0000000
#> [2507,] 1.0000000
#> [2508,] 1.0000000
#> [2509,] 1.0000000
#> [2510,] 1.0000000
#> [2511,] 1.0000000
#> [2512,] 1.0000000
#> [2513,] 1.0000000
#> [2514,] 1.0000000
#> [2515,] 1.0000000
#> [2516,] 1.0000000
#> [2517,] 1.0000000
#> [2518,] 1.0000000
#> [2519,] 1.0000000
#> [2520,] 1.0000000
#> [2521,] 1.0000000
#> [2522,] 1.0000000
#> [2523,] 1.0000000
#> [2524,] 1.0000000
#> [2525,] 1.0000000
#> [2526,] 1.0000000
#> [2527,] 1.0000000
#> [2528,] 1.0000000
#> [2529,] 1.0000000
#> [2530,] 1.0000000
#> [2531,] 1.0000000
#> [2532,] 1.0000000
#> [2533,] 1.0000000
#> [2534,] 1.0000000
#> [2535,] 1.0000000
#> [2536,] 1.0000000
#> [2537,] 1.0000000
#> [2538,] 1.0000000
#> [2539,] 1.0000000
#> [2540,] 1.0000000
#> [2541,] 1.0000000
#> [2542,] 1.0000000
#> [2543,] 1.0000000
#> [2544,] 1.0000000
#> [2545,] 1.0000000
#> [2546,] 1.0000000
#> [2547,] 1.0000000
#> [2548,] 1.0000000
#> [2549,] 1.0000000
#> [2550,] 1.0000000
#> [2551,] 1.0000000
#> [2552,] 1.0000000
#> [2553,] 1.0000000
#> [2554,] 1.0000000
#> [2555,] 1.0000000
#> [2556,] 1.0000000
#> [2557,] 1.0000000
#> [2558,] 1.0000000
#> [2559,] 1.0000000
#> [2560,] 1.0000000
#> [2561,] 1.0000000
#> [2562,] 1.0000000
#> [2563,] 1.0000000
#> [2564,] 1.0000000
#> [2565,] 1.0000000
#> [2566,] 1.0000000
#> [2567,] 1.0000000
#> [2568,] 1.0000000
#> [2569,] 1.0000000
#> [2570,] 1.0000000
#> [2571,] 1.0000000
#> [2572,] 1.0000000
#> [2573,] 1.0000000
#> [2574,] 1.0000000
#> [2575,] 1.0000000
#> [2576,] 1.0000000
#> [2577,] 1.0000000
#> [2578,] 1.0000000
#> [2579,] 1.0000000
#> [2580,] 1.0000000
#> [2581,] 1.0000000
#> [2582,] 1.0000000
#> [2583,] 1.0000000
#> [2584,] 1.0000000
#> [2585,] 1.0000000
#> [2586,] 1.0000000
#> [2587,] 1.0000000
#> [2588,] 1.0000000
#> [2589,] 1.0000000
#> [2590,] 1.0000000
#> [2591,] 1.0000000
#> [2592,] 1.0000000
#> [2593,] 1.0000000
#> [2594,] 1.0000000
#> [2595,] 1.0000000
#> [2596,] 1.0000000
#> [2597,] 1.0000000
#> [2598,] 1.0000000
#> [2599,] 1.0000000
#> [2600,] 1.0000000
#> [2601,] 1.0000000
#> [2602,] 1.0000000
#> [2603,] 1.0000000
#> [2604,] 1.0000000
#> [2605,] 1.0000000
#> [2606,] 1.0000000
#> [2607,] 1.0000000
#> [2608,] 1.0000000
#> [2609,] 1.0000000
#> [2610,] 1.0000000
#> [2611,] 1.0000000
#> [2612,] 1.0000000
#> [2613,] 1.0000000
#> [2614,] 1.0000000
#> [2615,] 1.0000000
#> [2616,] 1.0000000
#> [2617,] 1.0000000
#> [2618,] 1.0000000
#> [2619,] 1.0000000
#> [2620,] 1.0000000
#> [2621,] 1.0000000
#> [2622,] 1.0000000
#> [2623,] 1.0000000
#> [2624,] 1.0000000
#> [2625,] 1.0000000
#> [2626,] 1.0000000
#> [2627,] 1.0000000
#> [2628,] 1.0000000
#> [2629,] 1.0000000
#> [2630,] 1.0000000
#> [2631,] 1.0000000
#> [2632,] 1.0000000
#> [2633,] 1.0000000
#> [2634,] 1.0000000
#> [2635,] 1.0000000
#> [2636,] 1.0000000
#> [2637,] 1.0000000
#> [2638,] 1.0000000
#> [2639,] 1.0000000
#> [2640,] 1.0000000
#> [2641,] 1.0000000
#> [2642,] 1.0000000
#> [2643,] 1.0000000
#> [2644,] 1.0000000
#> [2645,] 1.0000000
#> [2646,] 1.0000000
#> [2647,] 1.0000000
#> [2648,] 1.0000000
#> [2649,] 1.0000000
#> [2650,] 1.0000000
#> [2651,] 1.0000000
#> [2652,] 1.0000000
#> [2653,] 1.0000000
#> [2654,] 1.0000000
#> [2655,] 1.0000000
#> [2656,] 1.0000000
#> [2657,] 1.0000000
#> [2658,] 1.0000000
#> [2659,] 1.0000000
#> [2660,] 1.0000000
#> [2661,] 1.0000000
#> [2662,] 1.0000000
#> [2663,] 1.0000000
#> [2664,] 1.0000000
#> [2665,] 1.0000000
#> [2666,] 1.0000000
#> [2667,] 1.0000000
#> [2668,] 1.0000000
#> [2669,] 1.0000000
#> [2670,] 1.0000000
#> [2671,] 1.0000000
#> [2672,] 1.0000000
#> [2673,] 1.0000000
#> [2674,] 1.0000000
#> [2675,] 1.0000000
#> [2676,] 1.0000000
#> [2677,] 1.0000000
#> [2678,] 1.0000000
#> [2679,] 1.0000000
#> [2680,] 1.0000000
#> [2681,] 1.0000000
#> [2682,] 1.0000000
#> [2683,] 1.0000000
#> [2684,] 1.0000000
#> [2685,] 1.0000000
#> [2686,] 1.0000000
#> [2687,] 1.0000000
#> [2688,] 1.0000000
#> [2689,] 1.0000000
#> [2690,] 1.0000000
#> [2691,] 1.0000000
#> [2692,] 1.0000000
#> [2693,] 1.0000000
#> [2694,] 1.0000000
#> [2695,] 1.0000000
#> [2696,] 1.0000000
#> [2697,] 1.0000000
#> [2698,] 1.0000000
#> [2699,] 1.0000000
#> [2700,] 1.0000000
#> [2701,] 1.0000000
#> [2702,] 1.0000000
#> [2703,] 1.0000000
#> [2704,] 1.0000000
#> [2705,] 1.0000000
#> [2706,] 1.0000000
#> [2707,] 1.0000000
#> [2708,] 1.0000000
#> [2709,] 1.0000000
#> [2710,] 1.0000000
#> [2711,] 1.0000000
#> [2712,] 1.0000000
#> [2713,] 1.0000000
#> [2714,] 1.0000000
#> [2715,] 1.0000000
#> [2716,] 1.0000000
#> [2717,] 1.0000000
#> [2718,] 1.0000000
#> [2719,] 1.0000000
#> [2720,] 1.0000000
#> [2721,] 1.0000000
#> [2722,] 1.0000000
#> [2723,] 1.0000000
#> [2724,] 1.0000000
#> [2725,] 1.0000000
#> [2726,] 1.0000000
#> [2727,] 1.0000000
#> [2728,] 1.0000000
#> [2729,] 1.0000000
#> [2730,] 1.0000000
#> [2731,] 1.0000000
#> [2732,] 1.0000000
#> [2733,] 1.0000000
#> [2734,] 1.0000000
#> [2735,] 1.0000000
#> [2736,] 1.0000000
#> [2737,] 1.0000000
#> [2738,] 1.0000000
#> [2739,] 1.0000000
#> [2740,] 1.0000000
#> [2741,] 1.0000000
#> [2742,] 1.0000000
#> [2743,] 1.0000000
#> [2744,] 1.0000000
#> [2745,] 1.0000000
#> [2746,] 1.0000000
#> [2747,] 1.0000000
#> [2748,] 1.0000000
#> [2749,] 1.0000000
#> [2750,] 1.0000000
#> [2751,] 1.0000000
#> [2752,] 1.0000000
#> [2753,] 1.0000000
#> [2754,] 1.0000000
#> [2755,] 1.0000000
#> [2756,] 1.0000000
#> [2757,] 1.0000000
#> [2758,] 1.0000000
#> [2759,] 1.0000000
#> [2760,] 1.0000000
#> [2761,] 1.0000000
#> [2762,] 1.0000000
#> [2763,] 1.0000000
#> [2764,] 1.0000000
#> [2765,] 1.0000000
#> [2766,] 1.0000000
#> [2767,] 1.0000000
#> [2768,] 1.0000000
#> [2769,] 1.0000000
#> [2770,] 1.0000000
#> [2771,] 1.0000000
#> [2772,] 1.0000000
#> [2773,] 1.0000000
#> [2774,] 1.0000000
#> [2775,] 1.0000000
#> [2776,] 1.0000000
#> [2777,] 1.0000000
#> [2778,] 1.0000000
#> [2779,] 1.0000000
#> [2780,] 1.0000000
#> [2781,] 1.0000000
#> [2782,] 1.0000000
#> [2783,] 1.0000000
#> [2784,] 1.0000000
#> [2785,] 1.0000000
#> [2786,] 1.0000000
#> [2787,] 1.0000000
#> [2788,] 1.0000000
#> [2789,] 1.0000000
#> [2790,] 1.0000000
#> [2791,] 1.0000000
#> [2792,] 1.0000000
#> [2793,] 1.0000000
#> [2794,] 1.0000000
#> [2795,] 1.0000000
#> [2796,] 1.0000000
#> [2797,] 1.0000000
#> [2798,] 1.0000000
#> [2799,] 1.0000000
#> [2800,] 1.0000000
#> [2801,] 1.0000000
#> [2802,] 1.0000000
#> [2803,] 1.0000000
#> [2804,] 1.0000000
#> [2805,] 1.0000000
#> [2806,] 1.0000000
#> [2807,] 1.0000000
#> [2808,] 1.0000000
#> [2809,] 1.0000000
#> [2810,] 1.0000000
#> [2811,] 1.0000000
#> [2812,] 1.0000000
#> [2813,] 1.0000000
#> [2814,] 1.0000000
#> [2815,] 1.0000000
#> [2816,] 1.0000000
#> [2817,] 1.0000000
#> [2818,] 1.0000000
#> [2819,] 1.0000000
#> [2820,] 1.0000000
#> [2821,] 1.0000000
#> [2822,] 1.0000000
#> [2823,] 1.0000000
#> [2824,] 1.0000000
#> [2825,] 1.0000000
#> [2826,] 1.0000000
#> [2827,] 1.0000000
#> [2828,] 1.0000000
#> [2829,] 1.0000000
#> [2830,] 1.0000000
#> [2831,] 1.0000000
#> [2832,] 1.0000000
#> [2833,] 1.0000000
#> [2834,] 1.0000000
#> [2835,] 1.0000000
#> [2836,] 1.0000000
#> [2837,] 1.0000000
#> [2838,] 1.0000000
#> [2839,] 1.0000000
#> [2840,] 1.0000000
#> [2841,] 1.0000000
#> [2842,] 1.0000000
#> [2843,] 1.0000000
#> [2844,] 1.0000000
#> [2845,] 1.0000000
#> [2846,] 1.0000000
#> [2847,] 1.0000000
#> [2848,] 1.0000000
#> [2849,] 1.0000000
#> [2850,] 1.0000000
#> [2851,] 1.0000000
#> [2852,] 1.0000000
#> [2853,] 1.0000000
#> [2854,] 1.0000000
#> [2855,] 1.0000000
#> [2856,] 1.0000000
#> [2857,] 1.0000000
#> [2858,] 1.0000000
#> [2859,] 1.0000000
#> [2860,] 1.0000000
#> [2861,] 1.0000000
#> [2862,] 1.0000000
#> [2863,] 1.0000000
#> [2864,] 1.0000000
#> [2865,] 1.0000000
#> [2866,] 1.0000000
#> [2867,] 1.0000000
#> [2868,] 1.0000000
#> [2869,] 1.0000000
#> [2870,] 1.0000000
#> [2871,] 1.0000000
#> [2872,] 1.0000000
#> [2873,] 1.0000000
#> [2874,] 1.0000000
#> [2875,] 1.0000000
#> [2876,] 1.0000000
#> [2877,] 1.0000000
#> [2878,] 1.0000000
#> [2879,] 1.0000000
#> [2880,] 1.0000000
#> [2881,] 1.0000000
#> [2882,] 1.0000000
#> [2883,] 1.0000000
#> [2884,] 1.0000000
#> [2885,] 1.0000000
#> [2886,] 1.0000000
#> [2887,] 1.0000000
#> [2888,] 1.0000000
#> [2889,] 1.0000000
#> [2890,] 1.0000000
#> [2891,] 1.0000000
#> [2892,] 1.0000000
#> [2893,] 1.0000000
#> [2894,] 1.0000000
#> [2895,] 1.0000000
#> [2896,] 1.0000000
#> [2897,] 1.0000000
#> [2898,] 1.0000000
#> [2899,] 1.0000000
#> [2900,] 1.0000000
#> [2901,] 1.0000000
#> [2902,] 1.0000000
#> [2903,] 1.0000000
#> [2904,] 1.0000000
#> [2905,] 1.0000000
#> [2906,] 1.0000000
#> [2907,] 1.0000000
#> [2908,] 1.0000000
#> [2909,] 1.0000000
#> [2910,] 1.0000000
#> [2911,] 1.0000000
#> [2912,] 1.0000000
#> [2913,] 1.0000000
#> [2914,] 1.0000000
#> [2915,] 1.0000000
#> [2916,] 1.0000000
#> [2917,] 1.0000000
#> [2918,] 1.0000000
#> [2919,] 1.0000000
#> [2920,] 1.0000000
#> [2921,] 1.0000000
#> [2922,] 1.0000000
#> [2923,] 1.0000000
#> [2924,] 1.0000000
#> [2925,] 1.0000000
#> [2926,] 1.0000000
#> [2927,] 1.0000000
#> [2928,] 1.0000000
#> [2929,] 1.0000000
#> [2930,] 1.0000000
#> [2931,] 1.0000000
#> [2932,] 1.0000000
#> [2933,] 1.0000000
#> [2934,] 1.0000000
#> [2935,] 1.0000000
#> [2936,] 1.0000000
#> [2937,] 1.0000000
#> [2938,] 1.0000000
#> [2939,] 1.0000000
#> [2940,] 1.0000000
#> [2941,] 1.0000000
#> [2942,] 1.0000000
#> [2943,] 1.0000000
#> [2944,] 1.0000000
#> [2945,] 1.0000000
#> [2946,] 1.0000000
#> [2947,] 1.0000000
#> [2948,] 1.0000000
#> [2949,] 1.0000000
#> [2950,] 1.0000000
#> [2951,] 1.0000000
#> [2952,] 1.0000000
#> [2953,] 1.0000000
#> [2954,] 1.0000000
#> [2955,] 1.0000000
#> [2956,] 1.0000000
#> [2957,] 1.0000000
#> [2958,] 1.0000000
#> [2959,] 1.0000000
#> [2960,] 1.0000000
#> [2961,] 1.0000000
#> [2962,] 1.0000000
#> [2963,] 1.0000000
#> [2964,] 1.0000000
#> [2965,] 1.0000000
#> [2966,] 1.0000000
#> [2967,] 1.0000000
#> [2968,] 1.0000000
#> [2969,] 1.0000000
#> [2970,] 1.0000000
#> [2971,] 1.0000000
#> [2972,] 1.0000000
#> [2973,] 1.0000000
#> [2974,] 1.0000000
#> [2975,] 1.0000000
#> [2976,] 1.0000000
#> [2977,] 1.0000000
#> [2978,] 1.0000000
#> [2979,] 1.0000000
#> [2980,] 1.0000000
#> [2981,] 1.0000000
#> [2982,] 1.0000000
#> [2983,] 1.0000000
#> [2984,] 1.0000000
#> [2985,] 1.0000000
#> [2986,] 1.0000000
#> [2987,] 1.0000000
#> [2988,] 1.0000000
#> [2989,] 1.0000000
#> [2990,] 1.0000000
#> [2991,] 1.0000000
#> [2992,] 1.0000000
#> [2993,] 1.0000000
#> [2994,] 1.0000000
#> [2995,] 1.0000000
#> [2996,] 1.0000000
#> [2997,] 1.0000000
#> [2998,] 1.0000000
#> [2999,] 1.0000000
#> [3000,] 1.0000000
#>
#> $tau_samples
#> [1] 7.347673e+00 3.605357e-01 2.246273e-01 2.039012e-01 3.849080e-01
#> [6] 2.903736e-01 4.621777e-01 1.374069e+00 1.115728e+00 5.806272e+00
#> [11] 1.665232e+00 6.794760e-01 3.444858e-01 3.151706e-01 5.884852e-01
#> [16] 2.356179e+00 5.860125e+00 1.390400e+00 1.362451e+00 1.869512e+00
#> [21] 2.136186e+00 9.235229e+00 6.888017e+00 1.076940e+01 1.616060e+01
#> [26] 2.074679e+01 1.646813e+03 9.787411e+02 1.042938e+04 1.891620e+04
#> [31] 1.519484e+04 7.458475e+03 1.167039e+04 1.038938e+04 3.310340e+03
#> [36] 6.115467e+03 1.336655e+04 7.810145e+03 1.254201e+03 1.962041e+03
#> [41] 4.026857e+03 5.458784e+03 8.702448e+03 6.963564e+03 1.219065e+04
#> [46] 9.143279e+03 4.475527e+04 5.611696e+04 6.077360e+04 3.159887e+05
#> [51] 4.469637e+05 2.374066e+06 2.446532e+06 2.919122e+06 1.459041e+07
#> [56] 8.065620e+06 4.377794e+06 8.930181e+06 1.408967e+07 1.645938e+07
#> [61] 1.134746e+07 1.107366e+07 9.016482e+06 5.050911e+07 1.173423e+08
#> [66] 5.837863e+07 1.340061e+08 4.944337e+07 1.466435e+08 5.132188e+07
#> [71] 2.950239e+07 7.490560e+07 1.384316e+08 7.130337e+07 7.924563e+07
#> [76] 5.344162e+07 1.344902e+07 1.308948e+07 1.148332e+07 3.089515e+07
#> [81] 1.024020e+07 1.627452e+07 2.668550e+07 5.096542e+07 3.455176e+07
#> [86] 1.404757e+07 9.341577e+07 3.474693e+08 1.253818e+09 8.424263e+08
#> [91] 1.300285e+09 9.920760e+08 1.951541e+09 5.839472e+08 3.670732e+08
#> [96] 1.894881e+08 3.224380e+08 2.716242e+08 2.195247e+08 9.829854e+08
#> [101] 1.765010e+08 3.222045e+08 1.972650e+08 1.518567e+08 9.788071e+07
#> [106] 1.782614e+08 2.463642e+08 7.387945e+08 2.993610e+09 6.308329e+09
#> [111] 6.313552e+09 1.217957e+10 1.004442e+10 3.566387e+09 4.094867e+09
#> [116] 4.947148e+09 1.976009e+09 1.766037e+09 1.096661e+09 7.730397e+08
#> [121] 3.657914e+09 5.832909e+09 5.799135e+09 7.906933e+09 1.347752e+10
#> [126] 7.716274e+10 4.528191e+11 7.566788e+11 7.116281e+11 2.586237e+12
#> [131] 1.231275e+12 5.664028e+11 5.124533e+11 1.013729e+12 1.022497e+12
#> [136] 1.059500e+12 7.475585e+11 1.376131e+12 6.719970e+11 4.549849e+11
#> [141] 1.720117e+11 1.798631e+11 9.980423e+10 7.086308e+10 5.464485e+10
#> [146] 1.804709e+10 1.110965e+10 1.074101e+10 8.968285e+09 4.607141e+09
#> [151] 4.322604e+10 7.793462e+10 5.684160e+10 6.891646e+10 1.434398e+11
#> [156] 7.021975e+10 5.080080e+10 5.390082e+10 4.161381e+10 4.978402e+10
#> [161] 5.807886e+10 5.652899e+10 1.425079e+11 2.686156e+11 1.182418e+11
#> [166] 6.487502e+10 7.521669e+10 8.108048e+10 2.402555e+12 2.844830e+12
#> [171] 3.834727e+12 2.213473e+12 2.968153e+12 5.619107e+11 1.459606e+12
#> [176] 2.530978e+12 2.193026e+12 3.261189e+12 2.846816e+12 1.964072e+12
#> [181] 8.594391e+11 1.818608e+12 5.074033e+12 6.070688e+12 2.867561e+12
#> [186] 2.648161e+12 5.516722e+10 3.743683e+10 3.893068e+10 1.466633e+11
#> [191] 3.448841e+11 9.444139e+11 5.071835e+11 1.821069e+11 1.559615e+11
#> [196] 4.132072e+11 2.826855e+12 8.831636e+11 1.668223e+12 4.685266e+12
#> [201] 6.948429e+12 6.989345e+12 1.773407e+13 1.752984e+13 2.650491e+13
#> [206] 2.717329e+13 3.703706e+13 5.085135e+13 2.076186e+13 1.395269e+13
#> [211] 1.704527e+13 1.310344e+13 1.297542e+13 1.532979e+13 2.739472e+13
#> [216] 1.182416e+12 6.404511e+11 1.329664e+12 2.037645e+12 1.338517e+12
#> [221] 5.147555e+11 7.633211e+11 2.812408e+11 2.610049e+11 3.158571e+11
#> [226] 3.382462e+11 1.573423e+11 1.469191e+11 4.514756e+10 1.232470e+10
#> [231] 3.279646e+09 2.487066e+09 2.472348e+09 7.465662e+08 8.961236e+08
#> [236] 9.849567e+08 2.885560e+08 5.577386e+07 2.030393e+06 2.424428e+06
#> [241] 5.461358e+05 4.529119e+05 2.513398e+05 7.022804e+05 9.116976e+05
#> [246] 3.490900e+05 4.064239e+05 4.857662e+05 1.090796e+06 1.709115e+06
#> [251] 4.004131e+06 9.296878e+06 6.059919e+06 7.663008e+06 1.491237e+07
#> [256] 8.798828e+06 7.390747e+06 1.935618e+06 9.690577e+05 8.605769e+05
#> [261] 2.768600e+05 1.023647e+05 8.353985e+04 2.790358e+05 4.742073e+05
#> [266] 1.143416e+05 3.833063e+04 8.783198e+04 5.453216e+03 1.773276e+04
#> [271] 1.784739e+04 1.132863e+04 1.842923e+04 6.067045e+04 9.246114e+04
#> [276] 6.815980e+04 1.236225e+05 7.760034e+04 9.317386e+04 6.163628e+04
#> [281] 2.160675e+05 6.134270e+04 5.487073e+04 8.432274e+04 4.183859e+04
#> [286] 3.142764e+04 1.885343e+04 1.703011e+04 1.395884e+04 3.335510e+04
#> [291] 7.198022e+04 8.901365e+04 5.109051e+05 7.957001e+05 5.356627e+05
#> [296] 4.934190e+05 3.430900e+05 8.182816e+05 5.686836e+05 1.339176e+06
#> [301] 3.422130e+06 5.729286e+05 7.287392e+05 9.226124e+06 1.138285e+07
#> [306] 3.534272e+07 5.429140e+07 4.815449e+07 3.085078e+07 1.151960e+07
#> [311] 7.552581e+06 3.083127e+06 4.333031e+06 1.230142e+07 1.691194e+07
#> [316] 4.693548e+06 1.000292e+07 5.610235e+07 1.044097e+08 9.883138e+07
#> [321] 4.801191e+07 2.968756e+07 5.013970e+07 8.411250e+07 4.379147e+07
#> [326] 1.047108e+08 3.318956e+08 5.172179e+08 1.213171e+08 2.332850e+08
#> [331] 2.485312e+08 8.173739e+08 1.210638e+09 5.443082e+08 6.780775e+08
#> [336] 2.598470e+08 1.492007e+08 7.534345e+07 1.401133e+08 1.002728e+08
#> [341] 2.713800e+08 9.998237e+08 2.956395e+09 2.294443e+09 2.310541e+09
#> [346] 2.833961e+09 9.976015e+08 1.114491e+09 5.599591e+08 1.794731e+09
#> [351] 9.423033e+08 1.192486e+09 1.687949e+09 8.723663e+08 8.501928e+08
#> [356] 1.264266e+09 9.102744e+08 1.426981e+09 2.565262e+09 1.278412e+09
#> [361] 3.096241e+09 2.309153e+10 6.798765e+10 6.439903e+10 6.538128e+10
#> [366] 3.249283e+10 4.135268e+10 2.712839e+10 1.025358e+10 2.608976e+10
#> [371] 1.770899e+10 2.122001e+10 3.229589e+10 3.364869e+10 9.840600e+10
#> [376] 3.182501e+10 1.189552e+11 8.567002e+10 1.267452e+11 2.708798e+10
#> [381] 1.412228e+10 1.341824e+10 1.373172e+09 1.649278e+09 3.103343e+09
#> [386] 4.302300e+09 1.748975e+10 1.477691e+10 8.225140e+09 6.132706e+09
#> [391] 7.051614e+09 5.251381e+09 2.498846e+09 1.021835e+09 1.338462e+09
#> [396] 3.243200e+09 2.247721e+09 1.972784e+09 4.050123e+09 1.210483e+09
#> [401] 1.398910e+09 1.214083e+09 3.407957e+09 8.924083e+09 5.965324e+09
#> [406] 9.226440e+09 8.484591e+08 4.144635e+08 7.955073e+08 9.587328e+08
#> [411] 1.304175e+09 5.901329e+08 3.746835e+09 5.100114e+09 3.673106e+09
#> [416] 2.053956e+09 6.420307e+09 1.420873e+10 7.749487e+09 1.395693e+10
#> [421] 9.549639e+09 8.030526e+09 8.403642e+09 9.716641e+09 1.789124e+10
#> [426] 1.533943e+10 3.433814e+10 4.339806e+10 3.818362e+10 3.331347e+10
#> [431] 7.669319e+10 6.385079e+10 8.575498e+10 8.291493e+10 1.539489e+10
#> [436] 5.122646e+09 1.175577e+10 5.872630e+09 1.491983e+09 1.236580e+09
#> [441] 4.313132e+08 7.295634e+08 5.251400e+08 2.310623e+08 1.833975e+08
#> [446] 1.048736e+08 2.317413e+07 1.652085e+07 1.496326e+08 1.866032e+07
#> [451] 7.918310e+06 1.803661e+07 2.038956e+07 5.945518e+07 5.391161e+07
#> [456] 3.166012e+07 7.878332e+07 5.724975e+07 4.431624e+07 1.150979e+07
#> [461] 1.463549e+07 6.298159e+06 2.607100e+07 7.177700e+06 2.019066e+07
#> [466] 2.171024e+07 1.642450e+09 5.657687e+09 6.317928e+09 2.196179e+10
#> [471] 6.228179e+09 5.030046e+09 8.713254e+09 3.918318e+09 1.988042e+09
#> [476] 1.606213e+09 1.976138e+09 9.119587e+08 4.504786e+08 5.443750e+08
#> [481] 3.901825e+08 7.240067e+08 2.100872e+09 1.071989e+09 9.209587e+08
#> [486] 9.711878e+08 9.450515e+08 9.383143e+08 1.527708e+08 1.854085e+08
#> [491] 4.966068e+08 1.854498e+09 1.112444e+09 1.134009e+09 7.330044e+08
#> [496] 7.780332e+08 6.761360e+08 3.826486e+08 4.961692e+08 1.370804e+08
#> [501] 1.090202e+08 1.498045e+08 3.068671e+07 2.156737e+07 2.867825e+06
#> [506] 5.407617e+06 4.220550e+06 3.596476e+06 1.744570e+06 1.228460e+07
#> [511] 1.320448e+07 1.938935e+07 1.814089e+07 1.867408e+07 1.143525e+07
#> [516] 1.839703e+07 6.510574e+06 4.679952e+07 8.591593e+07 2.680807e+07
#> [521] 1.134932e+07 1.979698e+07 4.779520e+07 1.132489e+07 1.543287e+07
#> [526] 1.553048e+07 2.397909e+07 5.490528e+07 1.510977e+08 6.514999e+07
#> [531] 3.418613e+07 5.103206e+07 4.985216e+07 7.527210e+07 7.050032e+07
#> [536] 2.011343e+07 1.530942e+07 8.850665e+06 3.221441e+06 2.374045e+06
#> [541] 2.654216e+06 1.876633e+06 2.560996e+05 3.332047e+05 3.429095e+05
#> [546] 2.674844e+06 1.005689e+06 9.978903e+05 9.108919e+06 5.283418e+06
#> [551] 4.597891e+06 5.579364e+06 1.192265e+07 6.001174e+06 3.140845e+06
#> [556] 1.801611e+06 1.522300e+06 1.881759e+06 2.087881e+06 2.824094e+06
#> [561] 4.279160e+06 9.450186e+06 4.947846e+07 7.983754e+07 2.043365e+07
#> [566] 1.030352e+07 4.663181e+06 1.939377e+06 4.791080e+06 1.046814e+07
#> [571] 1.146233e+06 7.065296e+05 6.832883e+06 1.425582e+07 1.381676e+07
#> [576] 1.833685e+07 1.031321e+07 5.813483e+06 6.286849e+06 7.428768e+06
#> [581] 4.133210e+06 1.110710e+07 1.438698e+07 2.297999e+07 1.784398e+07
#> [586] 2.451285e+07 3.316052e+07 6.678533e+07 4.758013e+07 2.252542e+07
#> [591] 2.634228e+07 1.695407e+07 1.792737e+07 1.981925e+07 1.612621e+07
#> [596] 1.879390e+07 1.519562e+07 9.065234e+07 1.263416e+08 8.312665e+07
#> [601] 1.480287e+08 2.552171e+08 2.954517e+08 4.755435e+08 1.296692e+09
#> [606] 6.050132e+08 4.250502e+08 2.984244e+08 1.967312e+09 2.832329e+09
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#> [1486] 2.745443e+05 4.400223e+05 7.386851e+05 7.038365e+05 1.279052e+06
#> [1491] 2.071998e+07 7.307741e+06 2.028556e+06 1.596019e+06 3.469491e+06
#> [1496] 5.124764e+06 9.359739e+05 3.585287e+06 7.205438e+06 2.739705e+06
#> [1501] 1.597745e+06 6.685454e+05 1.058503e+06 2.351806e+06 2.794192e+06
#> [1506] 5.355272e+05 3.387324e+05 1.112922e+05 1.064845e+05 4.604928e+04
#> [1511] 9.845014e+04 4.169291e+04 4.150502e+04 6.935726e+04 2.311373e+05
#> [1516] 1.932103e+05 1.663175e+05 4.214552e+05 2.627628e+05 2.671903e+05
#> [1521] 7.799773e+04 6.182582e+04 8.091299e+04 5.951128e+04 4.504295e+04
#> [1526] 3.762520e+04 3.734319e+04 9.557335e+04 7.943118e+04 1.284886e+05
#> [1531] 5.319545e+05 2.967643e+05 2.144626e+05 1.469925e+05 5.430814e+05
#> [1536] 2.078860e+05 5.061422e+04 6.081222e+04 1.846434e+04 2.977884e+04
#> [1541] 2.309158e+04 1.754356e+05 8.647404e+05 8.187897e+05 6.306320e+05
#> [1546] 9.578124e+05 4.295031e+05 3.518125e+05 8.611483e+04 1.161259e+05
#> [1551] 7.940756e+04 1.392154e+05 3.230909e+05 3.377140e+05 7.039962e+05
#> [1556] 2.561335e+05 5.529153e+05 1.153977e+05 1.514433e+05 3.671004e+04
#> [1561] 2.571005e+04 1.449590e+04 1.529205e+04 7.114834e+03 1.249816e+04
#> [1566] 5.934391e+04 1.143295e+04 4.051471e+04 2.241629e+04 3.905375e+04
#> [1571] 2.514645e+05 3.100019e+04 1.939418e+04 7.862972e+02 6.539837e+02
#> [1576] 5.450242e+02 7.197204e+02 1.721797e+03 5.018178e+03 4.253399e+03
#> [1581] 7.972791e+03 5.720804e+03 5.474694e+04 6.303742e+04 1.528889e+05
#> [1586] 2.066900e+05 1.021700e+06 3.321378e+05 2.837800e+05 1.660675e+05
#> [1591] 6.492578e+05 1.390331e+06 2.741155e+05 3.983535e+05 8.977074e+05
#> [1596] 1.323039e+06 1.101120e+06 1.845138e+06 2.570957e+06 7.562413e+06
#> [1601] 8.248476e+06 3.279278e+06 3.744118e+06 6.817482e+06 6.582328e+05
#> [1606] 2.915970e+05 4.250319e+05 2.804321e+05 2.262235e+05 3.527035e+05
#> [1611] 3.337656e+05 2.426070e+05 3.483717e+04 4.431375e+05 2.036147e+06
#> [1616] 1.049076e+06 5.353063e+05 2.821838e+05 1.940474e+05 2.828660e+05
#> [1621] 9.257249e+04 5.300549e+04 1.282196e+05 1.408578e+06 2.931617e+06
#> [1626] 1.565748e+06 2.288362e+06 3.372503e+06 9.230054e+05 1.101452e+06
#> [1631] 3.000018e+05 2.571860e+05 3.893298e+05 8.884821e+05 3.405628e+06
#> [1636] 5.204637e+06 2.348083e+06 4.977439e+06 7.675686e+06 3.108132e+07
#> [1641] 2.953414e+07 6.692838e+08 5.328037e+08 4.098977e+08 1.054303e+08
#> [1646] 6.752176e+07 4.917136e+07 1.086745e+08 2.701512e+08 2.243251e+08
#> [1651] 1.616597e+08 7.823375e+07 1.782035e+08 3.969840e+07 2.820562e+07
#> [1656] 3.340498e+07 4.486603e+07 2.307378e+07 3.550808e+07 1.028132e+07
#> [1661] 1.017190e+08 7.410656e+07 1.233523e+08 7.848883e+07 6.069879e+07
#> [1666] 8.480332e+07 1.941224e+08 4.390638e+08 6.887539e+08 5.746741e+08
#> [1671] 8.415646e+08 2.694044e+08 8.446079e+07 2.632811e+07 4.055079e+07
#> [1676] 4.869711e+07 3.752971e+07 1.850657e+07 8.622252e+06 4.254555e+06
#> [1681] 2.835218e+06 1.312032e+07 1.934316e+07 2.617904e+07 6.350004e+07
#> [1686] 1.238425e+08 1.066547e+08 4.280737e+07 2.640552e+07 4.105896e+07
#> [1691] 3.276650e+07 5.662889e+07 7.140515e+07 1.414698e+08 6.790226e+07
#> [1696] 4.908132e+07 2.542309e+07 1.943541e+07 2.208359e+07 1.582499e+07
#> [1701] 1.053019e+07 3.759853e+06 4.614569e+06 4.551141e+06 1.946185e+06
#> [1706] 2.974598e+06 7.542722e+05 3.156080e+05 3.160466e+05 1.005494e+06
#> [1711] 1.371068e+06 8.005208e+06 2.015109e+07 4.375724e+07 3.720327e+07
#> [1716] 2.589230e+07 6.166182e+07 2.549486e+07 1.614949e+07 3.086186e+08
#> [1721] 2.790269e+08 3.278163e+09 2.407243e+09 2.499960e+09 3.030489e+09
#> [1726] 5.368382e+09 2.332310e+10 2.051608e+10 2.956026e+10 2.382749e+10
#> [1731] 2.578293e+10 1.841725e+10 4.711993e+09 7.506728e+09 6.566310e+09
#> [1736] 2.724401e+09 9.104614e+08 8.953486e+08 8.836012e+08 1.999605e+08
#> [1741] 1.399472e+08 1.731462e+08 2.725747e+08 9.926333e+08 2.638201e+09
#> [1746] 2.851340e+09 3.911388e+09 2.284743e+09 8.447827e+09 1.953046e+09
#> [1751] 6.606493e+09 6.124648e+09 1.588657e+10 3.378831e+09 2.255874e+09
#> [1756] 1.428209e+09 2.165469e+09 2.186679e+09 1.912646e+09 2.074143e+09
#> [1761] 5.309735e+08 3.418905e+08 1.530111e+09 6.538314e+07 7.306880e+07
#> [1766] 6.524565e+07 9.783350e+07 2.976126e+07 3.179633e+07 9.318878e+06
#> [1771] 7.670309e+06 9.871012e+06 1.831309e+07 4.003536e+07 1.496063e+07
#> [1776] 1.977890e+07 4.447655e+06 3.628796e+06 4.131634e+06 1.783144e+07
#> [1781] 1.065222e+08 1.366609e+08 1.218993e+08 1.244183e+08 7.848960e+07
#> [1786] 5.697779e+07 4.854915e+07 1.163462e+07 2.129218e+07 6.059272e+07
#> [1791] 1.381842e+08 5.848867e+08 9.818311e+08 2.289910e+09 1.194261e+09
#> [1796] 5.401451e+08 9.479742e+08 3.413818e+09 4.565904e+09 3.059997e+09
#> [1801] 1.225196e+09 2.548871e+08 3.634110e+09 1.660898e+09 6.676073e+08
#> [1806] 3.740550e+08 8.161243e+08 1.806291e+09 1.922924e+09 2.800967e+09
#> [1811] 1.016777e+09 5.448132e+08 4.717260e+08 3.516863e+08 8.162062e+08
#> [1816] 7.315945e+08 4.786602e+08 6.443237e+07 7.319414e+07 5.680010e+07
#> [1821] 2.764246e+07 4.182619e+07 5.144433e+07 9.752346e+06 1.774298e+07
#> [1826] 1.550875e+07 1.320749e+07 3.738709e+07 2.748007e+07 7.726649e+06
#> [1831] 1.094835e+07 8.814210e+06 5.890896e+06 1.965340e+06 1.131395e+06
#> [1836] 1.086359e+06 1.108748e+06 1.343382e+06 5.836485e+05 1.022019e+06
#> [1841] 4.888433e+05 5.040265e+05 1.433145e+06 5.902107e+04 1.561641e+04
#> [1846] 5.897272e+03 4.994174e+03 2.155079e+03 2.164640e+03 4.908661e+03
#> [1851] 1.131642e+03 8.738351e+03 1.527255e+04 8.742837e+03 1.342844e+04
#> [1856] 1.395621e+04 2.465078e+04 4.812848e+04 2.998801e+04 5.505740e+04
#> [1861] 3.365496e+05 1.284938e+05 7.717106e+04 2.721147e+04 8.436595e+04
#> [1866] 3.272073e+05 4.173194e+05 1.654373e+06 9.255539e+05 6.442643e+05
#> [1871] 9.414415e+05 1.676124e+06 8.448928e+05 4.039448e+06 1.757004e+06
#> [1876] 2.638092e+06 5.603299e+06 7.218322e+06 6.388922e+06 1.404399e+07
#> [1881] 2.487587e+06 1.307848e+05 8.519138e+04 3.232312e+04 7.657328e+04
#> [1886] 6.277309e+04 2.092964e+04 4.581042e+04 4.884631e+04 3.696651e+04
#> [1891] 7.532692e+03 5.602571e+03 7.948706e+03 1.041995e+04 1.160336e+04
#> [1896] 1.270881e+04 1.242825e+04 1.176666e+04 5.161789e+03 8.447698e+03
#> [1901] 5.466880e+03 4.093857e+03 5.503304e+03 1.857150e+03 1.215952e+03
#> [1906] 2.448635e+02 2.105679e+02 1.523466e+02 9.542162e+01 3.812450e+01
#> [1911] 1.133073e+02 1.539072e+02 1.926557e+02 5.440831e+01 2.569250e+02
#> [1916] 5.749557e+02 2.923427e+02 2.993661e+02 3.463132e+02 6.092147e+02
#> [1921] 9.481162e+02 2.335941e+03 5.062053e+03 7.946594e+03 1.222729e+03
#> [1926] 1.132133e+03 1.241808e+03 6.754880e+02 1.044091e+03 3.359414e+03
#> [1931] 6.022647e+03 2.037776e+03 2.211278e+03 1.630257e+03 8.900527e+02
#> [1936] 2.410535e+03 1.388679e+03 1.108178e+03 5.188078e+02 1.890559e+03
#> [1941] 2.773882e+03 5.864853e+03 3.639953e+03 3.538727e+03 3.292284e+03
#> [1946] 3.617201e+03 3.708091e+03 1.375048e+04 4.351288e+04 4.549427e+04
#> [1951] 4.599072e+04 3.117261e+04 2.450309e+04 1.233723e+04 2.515941e+04
#> [1956] 5.311286e+04 3.490701e+04 2.488231e+05 3.266137e+05 4.446454e+05
#> [1961] 1.829031e+05 8.193230e+04 2.510773e+04 1.935990e+04 2.344657e+04
#> [1966] 4.388298e+04 1.089000e+05 7.559246e+04 1.593261e+04 2.395606e+04
#> [1971] 1.124842e+05 1.316017e+05 9.428460e+04 1.236081e+05 2.987802e+05
#> [1976] 1.405645e+05 2.074710e+06 1.047580e+06 1.556219e+05 1.149184e+05
#> [1981] 3.543636e+04 2.178040e+04 3.175912e+03 3.038861e+03 1.010061e+03
#> [1986] 6.285125e+03 2.076260e+04 3.084517e+04 4.497881e+04 9.571528e+04
#> [1991] 1.277631e+04 6.265473e+03 2.076306e+04 1.204788e+04 3.324998e+04
#> [1996] 1.890100e+05 1.158140e+05 4.076653e+04 2.839863e+04 5.641525e+04
#> [2001] 4.399206e+04 5.920306e+04 7.035959e+04 8.052008e+04 7.924884e+05
#> [2006] 1.577337e+06 4.822136e+06 3.061141e+05 1.829841e+05 2.434693e+05
#> [2011] 5.330853e+05 5.627154e+05 1.708736e+05 5.250951e+04 5.595746e+03
#> [2016] 5.917092e+03 5.165393e+03 1.929085e+04 8.646703e+03 1.280285e+04
#> [2021] 5.953484e+03 3.397291e+03 3.068125e+03 1.271100e+03 1.634626e+02
#> [2026] 1.873026e+02 3.496590e+02 2.257166e+02 6.347058e+02 3.891557e+02
#> [2031] 7.440222e+02 1.866303e+02 1.435667e+02 2.792300e+01 5.673359e+00
#> [2036] 3.960727e+00 4.375658e+00 2.398222e+01 2.545870e+01 2.300405e+01
#> [2041] 1.467698e+02 2.077624e+02 4.077417e+02 1.995897e+03 1.536331e+03
#> [2046] 9.242990e+02 8.335714e+02 4.309771e+02 4.283586e+02 6.536890e+02
#> [2051] 1.060825e+03 3.030799e+03 7.346184e+03 6.037712e+03 7.713619e+03
#> [2056] 2.470119e+03 8.818869e+02 8.237739e+02 3.915858e+02 4.978620e+02
#> [2061] 8.029118e+02 9.570930e+02 4.991660e+03 6.401001e+03 2.854955e+04
#> [2066] 4.129485e+04 3.045329e+04 1.960908e+04 1.800664e+04 4.532908e+04
#> [2071] 1.993104e+03 4.027259e+02 2.157484e+02 3.295201e+02 1.081352e+02
#> [2076] 9.226078e+01 8.488631e+01 9.827308e+01 7.727766e+01 5.125191e+01
#> [2081] 1.230424e+02 6.655395e+01 1.631825e+02 1.004621e+02 4.628087e+00
#> [2086] 2.942872e+00 1.196105e+01 2.422297e+01 2.973771e+01 2.879794e+01
#> [2091] 5.929784e+00 5.368878e+00 1.960625e+01 1.125570e+01 3.242616e+01
#> [2096] 9.944874e+01 1.441956e+02 1.468487e+02 3.289998e+01 1.761010e+01
#> [2101] 3.411104e+01 4.791495e+01 2.697534e+02 2.502085e+02 6.502123e+01
#> [2106] 8.933905e+01 1.260696e+03 5.410886e+03 4.088803e+03 4.545196e+03
#> [2111] 1.112506e+04 1.611906e+04 1.532085e+04 1.519582e+04 2.038122e+04
#> [2116] 1.829898e+04 1.803290e+04 1.739672e+04 1.928195e+04 2.863191e+04
#> [2121] 2.813643e+04 3.104179e+04 6.978834e+04 1.266202e+05 2.319926e+05
#> [2126] 1.512521e+05 2.812615e+04 1.583405e+03 2.419454e+03 2.240470e+03
#> [2131] 7.366206e+03 2.834098e+03 3.256162e+03 1.763644e+03 1.017447e+04
#> [2136] 1.227049e+04 2.039315e+04 1.909051e+04 1.572244e+04 1.445338e+04
#> [2141] 4.560362e+04 2.418632e+04 2.210477e+05 8.454832e+04 5.991857e+04
#> [2146] 5.961950e+04 9.347256e+04 1.110964e+05 6.465396e+04 1.393617e+05
#> [2151] 1.773315e+05 3.427506e+05 9.228184e+05 6.248826e+05 8.327608e+05
#> [2156] 7.919536e+05 2.202832e+06 3.701462e+06 1.149388e+06 5.319247e+05
#> [2161] 1.541105e+05 2.447771e+05 3.735215e+06 2.276467e+07 2.405218e+07
#> [2166] 9.551245e+06 5.786497e+06 1.877634e+07 2.681977e+07 8.759259e+07
#> [2171] 8.019120e+07 6.131634e+07 9.265512e+07 3.082056e+08 1.668505e+08
#> [2176] 9.081957e+08 1.849923e+09 6.281854e+09 6.902210e+09 2.122149e+10
#> [2181] 9.632632e+09 8.876873e+09 1.524598e+10 8.720274e+09 4.293758e+09
#> [2186] 4.919725e+09 2.066124e+09 4.887525e+09 2.650198e+10 1.000712e+10
#> [2191] 2.530256e+10 1.749982e+10 3.554804e+10 2.754852e+10 2.434640e+10
#> [2196] 1.537723e+10 2.631756e+09 6.749869e+08 6.639597e+09 1.331211e+10
#> [2201] 2.680992e+10 1.729610e+11 1.183311e+12 2.577679e+12 8.601763e+12
#> [2206] 6.590030e+12 4.506406e+12 4.612990e+12 1.245034e+13 6.736553e+12
#> [2211] 3.307059e+12 2.380504e+12 2.382499e+12 6.624898e+12 8.499693e+12
#> [2216] 4.816436e+13 2.785217e+13 5.912032e+12 1.087543e+13 2.261681e+13
#> [2221] 2.149888e+13 3.725612e+13 4.014928e+13 9.656969e+12 1.454423e+13
#> [2226] 9.142314e+12 3.191909e+12 2.310246e+12 1.925214e+13 1.354946e+13
#> [2231] 3.475915e+13 4.109479e+13 1.419154e+13 7.586166e+12 5.440186e+12
#> [2236] 5.959925e+12 8.220946e+12 6.020736e+12 9.293779e+12 1.249325e+12
#> [2241] 1.661463e+12 2.848727e+12 7.733820e+12 1.143662e+13 2.555473e+13
#> [2246] 2.961495e+13 2.301777e+13 1.869937e+13 1.803908e+13 2.040117e+13
#> [2251] 9.302299e+12 1.806137e+13 5.361330e+12 6.390999e+12 8.414662e+12
#> [2256] 3.147104e+12 2.305260e+12 2.966944e+12 1.609977e+12 8.467093e+11
#> [2261] 1.054643e+12 8.264623e+11 8.121608e+11 2.032922e+12 2.024637e+12
#> [2266] 1.232515e+12 1.493714e+12 4.082205e+12 1.582177e+12 2.528272e+12
#> [2271] 1.547112e+12 1.571517e+12 4.322084e+12 4.291993e+12 6.079189e+12
#> [2276] 1.161534e+13 1.248551e+14 1.826300e+13 1.915826e+13 8.070069e+13
#> [2281] 4.093717e+13 1.587178e+14 1.038238e+14 1.889037e+13 5.678559e+13
#> [2286] 5.943946e+13 2.313181e+13 4.165777e+13 2.364456e+13 1.876730e+13
#> [2291] 1.159400e+13 1.171333e+13 6.686386e+12 6.236277e+12 6.312945e+12
#> [2296] 1.573872e+12 1.150448e+12 1.370508e+12 1.318316e+12 3.980378e+11
#> [2301] 4.454604e+11 1.022953e+12 9.980114e+11 1.284133e+12 8.356306e+11
#> [2306] 9.537344e+11 7.764543e+11 4.172090e+11 1.036699e+12 1.436516e+12
#> [2311] 1.969471e+12 3.040220e+12 1.518844e+12 8.387271e+11 1.576745e+12
#> [2316] 1.917757e+12 2.449411e+12 2.241474e+12 8.053216e+12 1.490156e+13
#> [2321] 8.152455e+12 1.963740e+13 2.877789e+13 3.153950e+13 7.231260e+13
#> [2326] 3.455708e+13 5.587178e+13 1.611860e+13 2.815917e+13 5.218163e+13
#> [2331] 2.661397e+13 1.781202e+13 9.779737e+12 3.575741e+12 1.786415e+12
#> [2336] 1.775816e+12 1.147421e+12 1.114079e+12 1.602444e+12 2.592619e+11
#> [2341] 1.906784e+11 8.106021e+10 3.955144e+10 7.719055e+10 4.356873e+10
#> [2346] 3.252961e+10 2.771079e+10 2.054475e+11 6.781541e+11 6.672950e+10
#> [2351] 1.619663e+10 1.675747e+10 1.530805e+10 6.267631e+09 1.183486e+10
#> [2356] 8.404205e+09 7.790006e+09 1.053999e+10 2.362093e+10 2.096322e+10
#> [2361] 2.568810e+10 4.170277e+10 6.135325e+10 4.740951e+10 1.683268e+11
#> [2366] 7.264424e+11 2.957521e+11 6.170801e+10 2.128273e+10 8.354532e+10
#> [2371] 4.997709e+10 3.650524e+10 3.212562e+10 1.880761e+10 4.429327e+10
#> [2376] 1.573512e+11 2.632852e+11 3.748366e+11 4.335383e+11 9.906422e+11
#> [2381] 1.171974e+12 2.046030e+12 5.009160e+12 7.761338e+12 1.262848e+12
#> [2386] 3.625101e+12 1.623401e+12 8.229873e+11 1.250054e+12 1.017672e+12
#> [2391] 4.978022e+12 1.285465e+12 9.918061e+12 2.543431e+13 4.021250e+12
#> [2396] 3.303711e+12 2.018610e+12 1.928026e+12 5.190735e+11 4.730804e+11
#> [2401] 7.566735e+10 4.996832e+10 4.502019e+10 2.235967e+10 2.563451e+10
#> [2406] 2.177628e+11 6.349544e+10 5.974824e+10 5.267952e+10 3.195818e+10
#> [2411] 2.983945e+10 4.224730e+10 6.053200e+10 1.231250e+10 5.599473e+09
#> [2416] 6.179897e+09 1.944178e+09 3.360156e+09 3.980651e+09 6.231111e+09
#> [2421] 1.621717e+10 6.135087e+09 3.246434e+09 8.673282e+08 9.651233e+08
#> [2426] 2.282605e+09 2.762418e+09 6.466799e+09 5.581292e+09 2.587222e+09
#> [2431] 2.753786e+09 1.992863e+09 5.878399e+08 3.911992e+08 5.639008e+08
#> [2436] 1.291622e+08 1.384427e+08 2.206726e+08 2.322984e+08 2.638612e+08
#> [2441] 3.091947e+08 2.446262e+08 2.001843e+08 2.202402e+08 2.926092e+08
#> [2446] 3.137717e+08 2.692652e+08 1.711366e+08 2.116034e+08 3.153384e+07
#> [2451] 1.047308e+08 8.402588e+07 9.050633e+07 3.869315e+08 1.548070e+08
#> [2456] 6.474057e+07 7.135117e+07 8.013059e+07 8.155408e+07 7.578592e+08
#> [2461] 8.248585e+08 3.044782e+08 6.697859e+08 8.112076e+08 3.480280e+09
#> [2466] 1.765702e+09 1.569393e+09 3.388118e+08 4.434468e+08 2.275391e+09
#> [2471] 1.219266e+09 1.426717e+09 1.699783e+09 1.982571e+09 8.697162e+08
#> [2476] 5.454011e+08 2.030344e+08 1.291812e+08 3.405129e+07 3.022517e+07
#> [2481] 2.267819e+07 2.592923e+07 5.810185e+07 1.043627e+08 2.256781e+08
#> [2486] 8.718700e+07 5.616835e+07 1.247063e+08 5.083328e+07 8.067997e+06
#> [2491] 4.299896e+06 1.355103e+07 2.006916e+07 1.275553e+07 1.065094e+07
#> [2496] 1.958821e+07 2.054580e+07 2.484014e+08 1.359338e+08 8.099408e+07
#> [2501] 1.410923e+08 2.223054e+08 1.078003e+08 3.894410e+07 7.950401e+07
#> [2506] 1.073114e+08 4.312705e+08 5.048466e+08 2.842200e+09 1.733237e+09
#> [2511] 5.495660e+08 8.413987e+08 5.439209e+08 8.151556e+08 4.624037e+07
#> [2516] 4.133823e+07 5.065980e+07 5.616500e+07 4.238355e+07 6.369641e+07
#> [2521] 2.922851e+07 5.222279e+06 1.103931e+07 4.936480e+06 2.078302e+07
#> [2526] 5.210911e+07 3.033259e+07 2.410386e+07 2.899288e+07 1.581181e+07
#> [2531] 1.037936e+07 5.881962e+06 1.186490e+07 5.088750e+06 3.308721e+06
#> [2536] 9.509706e+05 3.356776e+05 5.745019e+05 6.208747e+05 5.805367e+04
#> [2541] 8.164407e+03 1.378647e+03 1.618159e+03 1.091185e+03 4.486139e+02
#> [2546] 6.650601e+02 6.143527e+02 3.399695e+02 2.110336e+02 1.794282e+02
#> [2551] 1.844805e+02 2.265048e+02 1.767524e+02 8.891478e+01 9.524124e+01
#> [2556] 5.964483e+02 9.293595e+02 2.309184e+02 2.289445e+02 9.786027e+01
#> [2561] 1.936726e+02 3.370443e+01 6.007358e+01 4.338607e+01 8.864797e+01
#> [2566] 9.167822e+01 2.823683e+01 9.577944e+01 1.134553e+02 4.102801e+01
#> [2571] 8.874448e+00 1.728325e+01 2.477394e+01 1.900081e+01 2.966360e+01
#> [2576] 3.189519e+01 2.849371e+01 2.380202e+01 1.031464e+01 1.998608e+00
#> [2581] 3.957440e+00 9.133644e+00 7.223668e+01 1.236256e+02 4.330919e+02
#> [2586] 4.847025e+02 1.400798e+03 9.171458e+02 6.123288e+02 2.984958e+02
#> [2591] 2.417079e+02 1.140078e+02 8.374767e+01 9.088395e+01 3.856054e+02
#> [2596] 1.053743e+01 8.394000e+00 1.087000e+01 1.582564e+01 1.351047e+02
#> [2601] 8.916407e+01 5.830115e+01 8.098415e+01 5.829214e+01 2.628920e+01
#> [2606] 1.588860e+01 1.383299e+01 5.213392e+00 9.445526e+00 5.251737e+00
#> [2611] 1.343131e+00 1.211970e+00 4.811002e+00 2.209748e+00 8.587713e-01
#> [2616] 7.229501e+00 1.185579e+01 2.935877e+00 2.666904e+00 3.694616e+00
#> [2621] 1.524769e+00 1.106870e+00 1.333582e+01 1.378684e+01 2.089024e+01
#> [2626] 4.508559e+00 9.480443e+00 1.099276e+01 1.565856e+01 1.632718e+01
#> [2631] 2.411259e+01 2.832817e+01 1.831790e+01 6.052173e+01 1.099684e+01
#> [2636] 1.232809e+01 1.742800e+01 4.534543e+01 1.240816e+02 3.264899e+02
#> [2641] 5.806722e+02 2.281946e+03 1.113702e+03 2.378460e+02 3.182857e+02
#> [2646] 4.005550e+01 2.272131e+01 7.494386e+01 1.754590e+02 6.048853e+01
#> [2651] 9.451408e+01 9.169866e+01 1.342637e+02 1.635708e+02 2.722092e+02
#> [2656] 2.564444e+02 4.325327e+01 4.136696e+02 3.356873e+02 1.393188e+02
#> [2661] 5.975667e+01 7.655095e+01 3.379956e+01 5.450867e+01 6.768980e+01
#> [2666] 3.965229e+01 6.664038e+01 3.101346e+01 1.122508e+02 8.486790e+01
#> [2671] 1.396576e+02 2.231510e+02 2.686117e+01 4.828247e+00 3.106978e+01
#> [2676] 8.455074e+01 4.698627e+01 3.188330e+01 4.141508e+01 4.710160e+01
#> [2681] 8.208890e+00 6.158586e+01 1.677473e+01 2.579840e+01 2.607185e+01
#> [2686] 1.855369e+01 1.666686e+01 2.081107e+01 8.370534e+00 3.085554e+00
#> [2691] 2.107719e+00 4.141983e+00 1.407072e+00 8.815290e+00 6.161016e+01
#> [2696] 1.569357e+01 1.542176e+01 8.114072e+00 8.525355e+01 6.217530e+01
#> [2701] 4.810075e+02 1.165994e+03 1.730013e+03 1.285530e+03 5.065725e+01
#> [2706] 4.692640e+01 7.360980e+01 8.868863e+01 2.274045e+02 1.816663e+02
#> [2711] 3.057263e+02 3.828482e+02 8.456366e+01 3.668227e+02 4.682101e+02
#> [2716] 1.540856e+02 1.822922e+02 8.985892e+01 2.760605e+02 2.541271e+02
#> [2721] 2.227153e+02 3.135885e+02 6.032684e+01 4.343035e+02 6.715089e+03
#> [2726] 5.720591e+03 5.173208e+02 1.905629e+03 9.784150e+02 1.151577e+03
#> [2731] 1.099921e+03 6.581115e+02 6.793458e+02 3.786436e+02 5.429819e+02
#> [2736] 6.734111e+02 8.421042e+01 6.008441e+00 3.154022e+00 3.718963e+00
#> [2741] 1.479400e+00 1.137526e+00 6.956554e-01 7.676985e-01 9.837694e-01
#> [2746] 1.207697e+00 4.283799e+00 3.492946e+00 3.189105e+00 1.519602e+01
#> [2751] 1.035882e+02 4.583091e+01 9.876738e+01 4.958400e+02 6.017411e+02
#> [2756] 1.784000e+02 3.964587e+01 7.186978e+01 3.019003e+01 1.322984e+02
#> [2761] 8.292779e+01 1.994463e+01 1.076735e+01 6.475403e+00 7.968461e+00
#> [2766] 7.171169e+00 7.397110e+00 1.085074e+01 4.172466e+00 6.037119e+00
#> [2771] 2.903902e+00 7.172707e+00 1.974735e+00 5.233910e+00 7.461838e+00
#> [2776] 4.775711e+00 6.376816e+00 3.338564e+00 2.374588e+00 1.093103e+00
#> [2781] 1.675028e+00 2.399018e+00 5.358162e+00 3.963124e+00 1.919131e+00
#> [2786] 2.578785e+00 9.441844e+00 7.243854e+00 4.957342e+00 3.737645e+00
#> [2791] 1.329120e+01 1.651932e+01 1.367691e+01 4.180230e+01 8.732660e+01
#> [2796] 1.704615e+02 2.496505e+02 1.241025e+03 4.145137e+02 5.228415e+02
#> [2801] 2.141902e+02 8.394931e+02 6.624682e+03 1.057106e+04 9.456858e+03
#> [2806] 1.377661e+04 9.239730e+03 5.673650e+03 4.318715e+03 2.919461e+03
#> [2811] 2.176790e+03 5.144886e+02 4.911739e+02 1.130170e+03 1.714143e+03
#> [2816] 4.000815e+03 4.765887e+03 1.723064e+03 8.974019e+02 2.604378e+03
#> [2821] 1.856381e+03 3.099555e+03 2.115254e+03 9.241604e+02 1.941988e+03
#> [2826] 2.564652e+03 4.024779e+03 2.915758e+03 6.268435e+03 1.229927e+04
#> [2831] 3.031701e+04 5.882006e+04 3.241737e+04 1.556346e+04 1.474270e+04
#> [2836] 5.231147e+03 7.017538e+03 2.669700e+03 1.712042e+03 1.972290e+03
#> [2841] 6.606624e+02 1.369968e+03 8.493861e+02 1.359090e+03 1.819524e+03
#> [2846] 1.347091e+03 7.373670e+02 1.087507e+03 2.362214e+03 8.425131e+03
#> [2851] 6.102560e+03 8.022658e+03 7.177082e+03 8.047752e+03 1.792323e+04
#> [2856] 5.695928e+03 6.480421e+03 7.875328e+03 3.300031e+03 4.673417e+03
#> [2861] 4.954746e+03 6.373016e+03 6.629970e+03 6.995822e+03 5.427232e+03
#> [2866] 1.174408e+04 4.576216e+03 2.362873e+03 2.729936e+03 1.095802e+03
#> [2871] 3.312958e+02 1.554014e+02 1.316711e+02 8.108418e+01 1.469379e+02
#> [2876] 2.115268e+03 3.918961e+03 1.008817e+03 3.833868e+02 3.195991e+02
#> [2881] 5.847596e+02 4.127282e+02 3.709014e+02 1.739495e+02 5.126550e+02
#> [2886] 7.047269e+02 8.138859e+02 6.846455e+02 4.129546e+03 7.410875e+02
#> [2891] 2.099319e+02 1.934826e+02 1.884687e+02 1.439096e+02 9.275281e+01
#> [2896] 2.069607e+02 2.077705e+02 6.582857e+02 3.461872e+03 8.455989e+03
#> [2901] 5.772925e+03 1.160254e+04 4.299653e+04 8.366868e+03 6.368942e+03
#> [2906] 4.246605e+03 6.647420e+03 3.615767e+03 9.298412e+03 1.751392e+04
#> [2911] 4.593965e+04 4.232790e+04 3.117961e+04 2.807685e+04 1.008702e+04
#> [2916] 1.107591e+04 3.458750e+03 3.856845e+03 3.535215e+03 2.543294e+03
#> [2921] 9.462902e+02 1.902088e+03 6.977568e+02 7.352890e+02 3.335019e+03
#> [2926] 2.388549e+03 3.507910e+02 3.766245e+01 5.264128e+01 3.241745e+01
#> [2931] 5.562133e+01 6.780206e+01 8.549929e+01 1.462749e+02 3.106825e+02
#> [2936] 3.437417e+02 8.327010e+02 2.466479e+02 3.075524e+02 9.878198e+01
#> [2941] 9.193591e+01 1.238574e+02 7.473941e+01 1.837507e+02 1.202224e+02
#> [2946] 1.083833e+02 5.109496e+02 3.752804e+02 1.650930e+02 3.615525e+02
#> [2951] 7.537873e+02 8.979728e+02 4.121703e+02 8.210066e+02 1.042503e+03
#> [2956] 9.914187e+02 8.058228e+02 1.480639e+03 8.369954e+02 6.387819e+02
#> [2961] 3.162001e+02 5.916554e+01 7.434524e+01 3.835423e+01 8.995012e+01
#> [2966] 9.538188e+01 6.980609e+01 1.475788e+02 2.676439e+01 4.075233e+01
#> [2971] 3.937599e+01 3.353493e+02 5.715647e+02 1.827419e+03 8.201971e+02
#> [2976] 4.277102e+02 1.288519e+02 1.060072e+02 3.787422e+02 9.842985e+01
#> [2981] 1.224362e+02 2.725189e+02 4.187334e+02 1.531342e+03 4.238899e+03
#> [2986] 6.065822e+03 2.417464e+03 1.272626e+03 1.419433e+03 7.023148e+02
#> [2991] 1.461124e+03 2.624399e+03 5.894332e+03 2.341153e+03 1.301673e+03
#> [2996] 9.905483e+02 1.039511e+03 2.837132e+03 4.517331e+03 3.401757e+03
#>
#> $posterior_mean
#> [1] 1.000077
#>
#> $posterior_sd
#> [1] 0.002521985
#>
#> $n_iter
#> [1] 3000
#>