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Subject:

Re: Help with winBUGS

From:

"Andrew B. Lawson" <[log in to unmask]>

Reply-To:

Andrew B. Lawson

Date:

Wed, 6 Oct 2010 16:09:28 -0400

Content-Type:

text/plain

Parts/Attachments:

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text/plain (1993 lines)

Hello Colin
It is possible for a CAR model to yield a larger DIC than simpler models 
but it is not usually found. The DIC is the usual criterion to use and 
not the deviance itself.
Some comments on the model:
you have specified a binomial model but are using a log link function. 
It is more usual (to ensure positivity) to use a logit or probit  link 
for this eg

logit(Death[i]) <- alpha0 + alpha1 * age[i]+ v[i]+ W[i]

instead of

log(Death[i]) <- alpha0 + alpha1 * age[i]+ W[i]

with an added uncorrelated effect v[i]
which usually has a zero mean Gaussian prior distribution

Specifying the combination of v[i]+W][i] is often called a convolution 
model 

Such models are detailed (with many others ) in ch 5 of the book: 
Lawson, A. B. (2009) Bayesian Disease Mapping. CRC press. Also ODCs for 
the models are available from my web site at :

http://www.musc.edu/biometry/people/lawsonab/

best wishes
Andrew Lawson

Colin O' Hare wrote:
> Dear List
>
> I'm trying to carry out a bayesian hierarchical model of spatial mortality in Northern Ireland. I have some explanatory variables (income, age profiles, education etc) and I am using an adj matrix to identify neighbours etc. I am trying to fit the spatial model with just one covariate - age - to show the improved fitting ove3r a simple glm model. The problem is that when I try to fit the model with a car.normal distribution the deviance come out to be significantly large - so much so that I'm sure something is going wrong. I am new to using winbugs so not sure which way to turn to try to resolve this.
>
> The model, data and initial values file are attached. Any help would be appreciated.
>
> Kind regards
>
> Colin O'Hare
> Programme Director BSc Actuarial Science and Risk Management
> Queen’s University Management School
> 25 University Square
> Belfast
> Northern Ireland
> UK
> BT7 1NN
> Tel: 028 9097 2522
> Fax: 028 9097 5156
> Email: [log in to unmask]
> URL: http://www.qub.ac.uk/mgt/
>
> Initial Values file:
>
>
> list(
>
> alpha0 = 0, alpha1 = 0,
> lambda = 1,
> W = c(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
> 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
> 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
> 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)
>
>
> Model file:
>
> model {
>         for (i in 1:N) {
>                 Number[i] ~ dbin(Death[i], Population[i])
>                 log(Death[i]) <- alpha0 + alpha1 * age[i]+ W[i]

>         }
>
>         # CAR Prior Distribution for Random Effects:
>         W[1:N] ~ car.normal(adj[], weights[], neighbours[], lambda)
>
>         # Priors
>         alpha0 ~ dunif(-10000, 10000)
>         alpha1 ~ dunif(-10000, 10000)
>         lambda ~ dgamma(0.001, 0.001)
> }
>
> Data file:
>
> list(
>
> N = 890,
>
> Number = c(0,5,6,3,6,4,15,0,9,9,7,19,5,20,6,5,11,8,7,4,3,4,6,11,6,3,5,15,10,3,9,9,6,5,16,20,4,7,1,5,6,14,17,1,27,1,2,2,7,2,4,9,1,5,4,9,4,9,8,18,20,2,1,9,5,7,10,3,5,4,13,13,8,11,10,11,1,3,3,15,9,4,17,15,14,10,7,5,15,6,16,8,1,13,9,6,15,5,9,10,13,5,26,5,7,16,9,13,6,13,15,5,7,7,18,7,19,21,4,6,9,4,3,7,7,5,5,10,5,5,2,8,21,8,8,2,8,15,9,7,5,6,13,8,8,3,5,15,6,8,12,15,10,8,8,6,9,17,13,10,8,13,15,7,9,10,15,12,5,12,10,7,4,3,7,17,8,3,8,7,6,10,8,6,15,21,8,6,8,10,9,9,4,5,2,0,3,6,9,7,7,6,5,23,13,21,4,19,4,6,6,9,16,11,37,16,16,12,10,8,9,7,19,14,3,18,11,29,10,16,7,12,5,13,20,6,17,3,11,4,4,10,15,21,10,4,6,7,5,4,9,6,8,4,14,9,10,5,8,13,8,4,15,11,10,17,7,9,18,17,3,6,11,13,14,38,10,7,37,3,1,3,7,17,6,8,13,11,5,10,12,5,9,12,8,10,5,3,24,5,11,10,12,5,9,13,8,9,17,9,27,0,1,4,4,2,9,5,4,8,19,17,7,14,6,6,8,28,5,8,7,8,30,2,12,0,3,13,4,6,14,5,4,23,16,8,5,9,8,19,11,17,3,6,10,12,14,3,9,11,11,13,12,11,12,3,0,2,10,13,14,16,6,8,8,19,3,1,7,2,4,10,25,17,8,17,8,2,2,9,10,10,2,10,7,6,10,8,4,17,6,10,5,4,6,7,7,12,4,8,2,5,9,7,9,2,3,16,13,2,11,6,15,4,5,5,10,7,3,0,3,7,4,9,15,9,13,9,5,5,7,5,18,21,9,17,6,3,5,2,5,3,6,9,0,10,9,8,8,12,3,12,15,7,6,6,4,3,2,10,5,0,2,1,1,2,2,5,12,12,13,6,5,10,4,7,4,4,7,2,11,11,5,3,8,6,13,11,3,1,2,4,0,4,7,13,23,11,12,10,4,8,5,15,17,15,4,14,4,7,5,8,9,8,9,2,6,5,20,13,3,2,14,18,4,12,3,13,6,4,11,11,6,5,4,16,10,12,10,7,8,8,11,20,16,12,9,3,5,9,2,4,11,9,18,18,9,7,8,15,3,11,7,9,20,10,21,6,13,15,16,3,8,10,3,22,4,9,14,3,10,8,6,9,3,4,14,12,17,5,25,6,11,17,9,3,4,6,3,4,4,5,4,2,4,3,8,5,10,2,7,14,5,9,6,5,6,5,9,24,4,4,6,2,5,4,7,3,5,3,3,2,25,11,14,2,7,5,12,4,2,19,3,6,8,5,7,16,7,6,10,8,4,33,3,6,10,2,5,2,16,5,5,13,7,15,6,3,15,16,2,5,9,9,5,9,5,6,17,9,7,8,11,8,9,2,2,3,8,6,3,6,4,11,7,2,2,4,10,14,18,5,15,11,7,4,13,16,8,5,7,8,8,0,9,12,0,6,6,0,0,11,3,10,2,9,3,5,7,2,10,9,17,12,3,3,5,3,10,13,8,4,8,6,11,15,12,17,7,4,5,29,7,15,7,4,4,1,2,1,2,3,9,1,10,3,6,8,3,3,5,4,3,20,7,3,12,14,3,14,4,12,10,8,2,2,4,2,3,7,3,7,4,15,21,16,10,21,1,5,15,25,6,6,10,4,21,5,6,4,13,7,6,26,10,6,2,24,9,7,6,9,18,22,18,12,7,5,17,9,24,0,25,11,29,4,11,27,3,14,8,8,10,8,2,5,6,6,3,14,3,4,3,3,1,7,11,3,9,11,9,11,4,8,8,12,7,11,5,13,20,11,6,5,5,17,4,9,3,9),
>
> Population = c(766,920,751,854,966,1510,1420,1068,1266,1063,899,1117,1051,1339,1068,1362,874,839,1158,1061,692,902,1161,1275,1374,841,977,1261,966,1019,732,745,742,949,1397,853,681,708,657,698,769,867,781,
> 770,864,738,700,832,798,777,756,783,910,695,757,776,983,966,787,1144,809,912,707,859,813,1177,1222,849,836,812,773,1463,1342,1418,1195,1267,727,740,1789,1431,769,824,1249,987,1278,1206,1449,1415,1365,1284,1202,1237,651,796,1401,964,1127,734,1196,1651,1080,977,1309,819,826,1128,1197,1475,1297,1218,892,804,839,1528,1398,1608,1044,944,743,935,1113,767,758,1172,1434,925,909,1048,1035,734,1085,972,953,852,808,789,1283,794,1219,811,974,1030,1227,1403,1438,1404,1218,941,995,1337,1296,1231,1488,1297,1269,1379,1094,1403,1160,902,1018,883,892,1031,1038,1142,994,897,972,905,816,823,775,920,859,994,985,1120,911,967,1038,720,966,787,1132,935,1073,941,933,984,851,1001,791,876,768,884,887,791,839,883,859,859,854,1047,1034,1026,873,952,767,904,838,874,1229,1068,1137,1231,1058,1056,818,900,988,920,1005,874,749,776,822,850,815,853,1054,906,844,1010,948,920,926,762,911,1080,893,938,1060,1346,821,817,793,1144,1039,1154,1300,919,856,920,845,943,734,836,929,1019,829,737,873,988,1040,1041,937,989,1137,955,836,1005,1093,1020,971,1069,994,832,995,914,873,975,967,793,853,923,1276,1234,883,795,797,946,1059,873,1129,1023,900,864,1099,869,804,874,837,1003,779,892,941,736,840,761,1098,712,899,864,916,784,1116,1148,1231,825,1378,1402,1233,824,820,723,755,1420,1116,1192,785,789,931,906,853,958,859,1074,969,841,992,742,801,1185,1353,968,752,1267,1272,1288,1266,1368,954,776,1110,1387,1100,870,964,1361,1356,1247,1179,1154,1239,729,623,714,855,909,1175,1337,674,834,949,1306,871,1044,1265,1101,886,1122,970,1012,1081,1191,706,673,1120,1048,1242,1422,1156,1016,1083,1542,1169,1031,924,1320,1092,1015,1290,1088,868,968,1262,1109,1120,1094,817,799,1277,1474,1190,877,777,937,1181,930,942,866,912,1481,1150,690,997,1337,715,733,728,681,745,856,818,1228,1430,1322,1002,678,1117,1439,1273,1698,1690,1183,886,862,1068,975,897,1098,809,876,740,864,952,1564,1231,1268,790,776,1382,700,775,815,906,852,702,1255,1028,763,1287,652,698,969,1144,1279,565,945,980,1320,1026,1305,1061,917,985,1355,825,810,901,891,880,925,695,698,1276,1297,701,733,963,1121,994,747,959,916,1189,1543,1073,720,784,1161,719,817,1403,1227,668,1069,887,874,758,852,878,741,776,857,855,998,1338,1432,979,915,1642,785,773,1180,634,770,944,854,1470,1354,1232,744,923,1161,1059,1226,1224,1209,1281,1080,1264,1093,1619,1310,1340,1417,1206,1120,1072,1198,1428,1440,1157,1241,1301,1287,1470,1249,1488,1260,1066,967,1407,1195,883,1170,1369,1293,1198,792,1019,1523,1077,1341,1550,1189,1397,1088,1276,1216,749,1207,584,917,1479,1024,986,778,1034,873,948,865,1293,1541,883,756,1367,861,969,795,1003,701,742,1086,1234,1014,1131,694,751,977,738,737,847,1205,944,1323,1065,1099,689,853,1201,825,1213,772,773,976,1378,1059,1948,1151,1233,979,1257,769,766,1037,1268,1356,1366,1538,774,700,725,685,908,934,731,888,1246,874,710,864,705,719,1385,1058,1022,959,833,1052,805,1146,1259,1359,1151,1046,1288,1287,629,714,666,1072,1250,1284,829,842,1429,965,706,1282,1303,1268,704,724,1337,776,671,1247,752,792,1053,1132,1340,796,838,1042,948,872,968,836,1123,1084,833,779,1047,1233,1582,952,1159,1778,1008,1250,1512,1279,874,918,1061,1216,846,805,938,705,963,656,660,969,1661,848,910,970,902,656,761,1380,1082,809,1372,1349,775,862,867,949,1559,1211,1120,796,1530,881,752,753,683,857,1101,791,932,813,674,806,682,774,860,893,1298,656,733,710,674,889,619,896,779,1318,882,935,1181,824,873,855,707,1141,1172,944,996,1142,946,1844,1036,759,937,681,816,959,964,948,818,1030,899,950,852,1322,655,806,938,991,1382,911,953,733,774,671,667,740,796,860,941,653,1041,1123,816,1315,1477,1309,1317,1566,706,755,1476,1389,1217,692,1464,1197,1569,734,690,1275,1161,1267,1432,1736,995,1143,1324,1028,1275,1099,1091,1282,767,694,829,906,472,903,1199,1161,1130,892,1217,1171,1269,1082,1070,1233,1047,899,1316,1289,1066,1585,1053,1106,1069,1007,757,1071,1070,768),
>
> age = c(-3.169572928,-0.60201846,-0.262568917,0.980085575,0.375955112,-0.506314624,-0.569120266,-0.733611234,-1.433445533,-0.018823211,-0.241633703,0.217445634,-0.310420835,0.169593716,-1.307834248,-0.557157287,-0.157892847,-0.763518682,0.226417869,-0.956421726,-1.310824993,0.395394954,-0.863708635,1.451127892,-1.037171838,-0.395657064,-0.751555703,2.035818513,1.288132296,1.189437716,1.611132742,2.209281715,0.317635587,0.250343828,1.422715815,1.967031381,0.497080279,0.844006684,-0.893616084,1.522905768,0.020056473,2.038809258,1.158034895,0.287728138,2.698268501,0.214454889,0.483621927,-1.425968671,0.689983323,-1.340732442,0.470163575,0.86045578,-0.014337093,-0.243129076,0.564372039,0.800640883,-1.22259802,0.066413018,0.422311657,0.254829945,0.601756349,-1.742987626,-1.795325662,0.259316062,0.103797329,0.221931751,-0.03676768,-1.073060776,-0.844268794,1.120650584,-0.015832466,0.244362338,-0.361263498,-0.850250284,-0.15340673,0.13520015,0.142677012,-0.117517791,-1.188204454,-0.138453005,-0.154902102,-0.465939568,0.81708998,0.588297997,-0.477902548,-0.4913609,-0.270045779,-0.347805146,0.117255681,-0.59603697,0.550913687,-0.074151991,-0.573606383,0.005102748,0.064917646,0.81708998,1.766651475,0.090338977,-0.406124671,0.634654543,0.195015047,-1.164278495,1.661975405,1.99693883,0.776714924,1.045881962,0.715404654,0.713909282,-1.243533234,0.489603417,0.803631628,0.011084238,-0.014337093,-0.537717445,0.274269786,-0.519772976,1.842915469,-0.113031674,0.311654097,0.669048109,0.538950707,0.41782554,0.045477804,0.363992132,-0.311916208,-0.696226923,-0.356777381,-0.116022419,-0.193781785,0.497080279,-0.868194753,0.568858156,1.412248208,0.323617077,-0.133966888,0.033514825,-0.862213263,1.877309035,-0.175837316,0.002112004,-0.421078395,-0.802398366,-0.708189902,-0.31341158,-0.923523533,-0.358272753,0.501566396,0.215950262,-1.425968671,-0.652861122,0.776714924,-0.241633703,-1.079042266,-0.160883592,-0.105554812,-0.425564512,0.069403763,0.486612672,0.788677904,0.842511311,1.605151252,1.454118637,0.535959962,-0.558652659,-0.231166096,-0.681273199,0.320626332,0.381936602,0.537455335,-0.063684384,-0.476407175,0.646617522,-0.410610788,-1.316806483,-0.471921058,0.290718883,0.277260531,-0.899597574,-0.428555257,-0.757537193,-0.907074436,0.818585352,-0.259578172,-0.376217222,1.04438659,1.053358824,-0.284999504,0.151649247,-0.204249392,0.082862115,0.643626778,0.2518392,-2.394970007,-2.110849245,-2.409923732,-2.188608612,-1.180727591,0.043982432,0.679515716,1.234298889,0.69446944,0.206978027,0.525492355,2.472467264,0.879895622,2.222740067,-0.017327838,-0.561643404,-0.069665873,-0.672300964,0.310158725,0.046973177,-0.796416876,-0.214716999,2.459008912,0.353524525,0.815594607,0.512034003,-0.262568917,-0.428555257,-0.096582577,0.682506461,0.579325763,0.081366743,0.882886367,0.607737839,2.269096613,2.864254841,0.86643727,0.634654543,0.320626332,0.081366743,-0.901092946,0.975599458,1.641040191,-1.950844395,-0.634916653,0.087348232,0.063422273,-0.802398366,0.648112895,-0.522763721,0.610728584,-0.069665873,1.256729475,0.893353974,0.790173276,-0.81735209,0.31314947,-0.850250284,-0.892120712,1.110182977,1.180465481,0.959150361,0.97111334,-0.045739914,0.782696414,0.69446944,0.226417869,0.793164021,-0.138453005,-0.612486067,0.410348678,0.58381188,0.625682308,0.594279487,0.038000942,-0.296962483,0.486612672,0.697460185,0.550913687,-0.476407175,0.441751499,0.157630737,0.341561546,1.180465481,1.899739622,1.66496615,0.963636478,0.707927792,-1.95383514,-1.681677357,0.340066174,0.884381739,0.42380703,0.18454744,-0.720152882,-0.08013348,2.367791193,0.384927347,1.051863452,-0.751555703,-0.853241028,-0.000878741,-0.70669453,-0.187800296,-0.361263498,0.187538185,-1.509709527,-0.82931507,0.754284338,-1.047639445,-1.400547339,-1.529149368,-0.597532342,-0.000878741,0.02454259,0.731853751,1.530382631,0.820080725,1.433183422,0.106788074,-1.938881415,2.369286566,-0.981843058,-0.385189457,-0.676787081,-1.723547785,-1.177736847,0.328103194,0.541941452,1.59767439,-0.027795445,0.968122596,0.295205001,-0.790435386,1.663470777,0.042487059,0.82307147,-0.371731105,0.41184405,1.152053405,0.042487059,-0.364254243,1.406266719,-2.155710418,0.259316062,-0.649870377,-0.222193861,-0.057702894,1.096724625,-0.630430536,-0.276027269,1.373368525,1.229812771,0.630168426,-0.166865081,0.535959962,0.462686713,1.590197528,1.638049446,1.672443012,-1.351200049,2.110587135,1.020460631,1.012983769,1.519915024,-0.316402325,0.118751053,0.775219552,0.072394508,1.09971537,0.698955558,0.36847825,0.619700819,-1.159792377,-1.633825439,0.830548332,0.818585352,1.896748877,0.063422273,-0.530240583,1.178970109,-0.229670724,1.920674836,0.894849346,1.002516162,0.353524525,0.187538185,-1.37662138,-0.199763275,0.256325317,2.149466818,1.973012871,0.136695523,1.626086466,1.617114232,-0.081628853,-0.966889333,0.326607822,0.165107599,0.562876666,-0.724638999,0.553904432,-1.016236624,-1.239047116,-0.661833357,-0.60201846,0.082862115,-0.382198712,0.295205001,-0.370235732,-0.364254243,-0.585569363,0.224922496,-0.2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4225,1.404771346,-0.189295668,2.405175504,-0.757537193,-2.146738183,-0.465939568,1.853383076,1.579729921,-0.238642958,0.082862115,-0.830810442,2.133017721,0.98307632,-0.627439791,1.482530713,3.051176396,2.179374267,2.928555856,3.620913293,1.940114677,-1.152315515,-1.65924677,-0.30743009,-0.999787527,-1.731024647,-0.494351644,1.765156103,2.186851129,2.005911065,1.213363675,2.865750214,-0.24611982,0.316140215,0.974104085,0.975599458,0.455209851,-1.699621826,2.785000102,0.678020344,0.347543036,0.518015493,2.595087803,0.70045093,-0.310420835,-0.03078619,-0.736601979,-0.766509427,1.128127446,-0.566129521,-0.661833357,-0.20275402,0.208473399,-0.066675128,-0.154902102,-0.044244542,-1.571019797,0.084357487,-1.600927245,-1.684668102,-0.033776935,-1.645788418,-0.588560108,-0.64538426,-0.760527938,0.854474291,-0.736601979,-0.219203117,-0.388180202,-0.681273199,0.981580948,-0.041253797,-0.326869932,-0.009850976,-0.555661914,-0.326869932,0.295205001,-0.461453451,0.039496314,0.035010197,-0.03676768,-0.705199158,-0.818847462,0.181556696,-2.065988072,0.957654989),
>
> neighbours = c(2, 11, 8, 5, 4, 12, 7, 4, 3, 6,
> 7, 5, 4, 6, 6, 5, 7, 3, 10, 5,
> 4, 3, 3, 7, 7, 6, 2, 8, 2, 5,
> 4, 6, 4, 6, 8, 6, 3, 3, 5, 7,
> 4, 3, 8, 4, 3, 4, 5, 5, 3, 5,
> 5, 2, 3, 3, 8, 3, 4, 10, 2, 6,
> 5, 4, 4, 2, 1, 1, 4, 5, 3, 5,
> 5, 3, 9, 8, 5, 6, 5, 4, 4, 3,
> 7, 5, 12, 2, 9, 4, 6, 5, 5, 8,
> 7, 10, 4, 2, 5, 4, 6, 1, 7, 6,
> 4, 7, 4, 5, 3, 7, 12, 4, 4, 8,
> 4, 6, 5, 6, 11, 11, 6, 3, 6, 4,
> 6, 6, 4, 10, 6, 7, 6, 3, 7, 9,
> 4, 6, 4, 8, 5, 5, 2, 3, 8, 5,
> 6, 2, 7, 7, 3, 6, 4, 3, 5, 5,
> 4, 5, 7, 7, 8, 9, 12, 4, 5, 5,
> 7, 3, 6, 4, 5, 5, 5, 3, 3, 7,
> 2, 4, 5, 4, 3, 5, 4, 6, 6, 5,
> 4, 7, 4, 3, 4, 3, 4, 5, 4, 4,
> 3, 4, 5, 5, 4, 5, 6, 3, 4, 3,
> 5, 5, 6, 6, 5, 6, 4, 3, 5, 4,
> 7, 5, 5, 3, 4, 6, 10, 5, 4, 3,
> 5, 6, 4, 4, 6, 4, 5, 3, 4, 4,
> 6, 5, 6, 7, 4, 10, 5, 3, 4, 6,
> 5, 3, 7, 3, 3, 6, 3, 3, 5, 5,
> 7, 3, 4, 4, 2, 2, 5, 4, 5, 5,
> 3, 3, 4, 3, 8, 9, 4, 3, 6, 5,
> 3, 9, 4, 5, 5, 5, 8, 5, 4, 5,
> 4, 4, 3, 6, 2, 4, 4, 5, 7, 4,
> 4, 6, 5, 5, 7, 4, 5, 2, 4, 3,
> 3, 3, 2, 4, 3, 5, 4, 4, 5, 4,
> 2, 4, 4, 4, 3, 5, 6, 6, 4, 2,
> 7, 5, 6, 5, 3, 2, 4, 6, 3, 9,
> 4, 9, 8, 5, 3, 4, 6, 11, 3, 6,
> 5, 6, 2, 3, 3, 7, 2, 5, 4, 6,
> 5, 5, 5, 3, 5, 3, 6, 11, 6, 10,
> 4, 5, 5, 9, 5, 2, 3, 4, 3, 5,
> 4, 3, 12, 8, 4, 5, 5, 3, 6, 4,
> 3, 11, 4, 4, 6, 4, 4, 4, 5, 3,
> 7, 4, 6, 9, 6, 4, 7, 4, 10, 4,
> 4, 6, 3, 6, 7, 7, 6, 4, 4, 8,
> 5, 3, 7, 6, 8, 5, 6, 3, 3, 2,
> 5, 4, 4, 5, 7, 7, 8, 6, 2, 5,
> 3, 1, 3, 4, 3, 6, 6, 4, 5, 4,
> 5, 7, 5, 6, 5, 5, 7, 6, 8, 3,
> 4, 4, 4, 5, 4, 5, 6, 6, 5, 5,
> 4, 4, 6, 3, 5, 2, 10, 4, 5, 4,
> 14, 3, 4, 2, 5, 4, 4, 4, 5, 4,
> 5, 3, 5, 9, 4, 3, 7, 9, 3, 2,
> 5, 4, 2, 4, 8, 4, 5, 4, 3, 4,
> 7, 5, 4, 5, 7, 4, 4, 5, 4, 2,
> 4, 4, 3, 7, 7, 5, 2, 5, 2, 5,
> 5, 6, 5, 5, 5, 3, 3, 7, 5, 10,
> 6, 2, 2, 8, 6, 3, 6, 5, 2, 7,
> 9, 4, 5, 4, 9, 6, 5, 4, 5, 5,
> 7, 5, 8, 5, 4, 5, 6, 3, 8, 4,
> 4, 7, 9, 6, 6, 6, 7, 8, 4, 6,
> 7, 6, 3, 6, 8, 4, 4, 6, 5, 4,
> 5, 6, 4, 5, 7, 2, 7, 3, 5, 3,
> 3, 6, 6, 4, 3, 3, 5, 3, 5, 4,
> 5, 6, 7, 3, 2, 6, 7, 4, 3, 8,
> 7, 4, 3, 3, 4, 8, 9, 6, 5, 3,
> 5, 4, 3, 6, 6, 10, 8, 5, 4, 4,
> 7, 9, 3, 3, 9, 3, 10, 8, 3, 4,
> 6, 2, 8, 4, 6, 8, 6, 3, 4, 7,
> 6, 7, 7, 4, 4, 8, 2, 11, 4, 3,
> 9, 3, 3, 4, 6, 6, 5, 5, 6, 3,
> 7, 5, 6, 8, 2, 4, 4, 4, 5, 5,
> 2, 3, 3, 5, 8, 6, 2, 5, 7, 3,
> 5, 7, 9, 10, 5, 6, 3, 6, 5, 6,
> 2, 4, 4, 5, 8, 2, 4, 3, 6, 3,
> 6, 5, 4, 5, 3, 2, 7, 5, 9, 6,
> 6, 7, 3, 4, 3, 1, 4, 5, 6, 7,
> 7, 3, 8, 7, 3, 5, 4, 5, 7, 4,
> 3, 3, 5, 4, 3, 6, 4, 7, 8, 3,
> 4, 1, 4, 5, 9, 4, 3, 7, 8, 5,
> 4, 6, 3, 5, 4, 3, 5, 4, 3, 3,
> 6, 12, 6, 7, 7, 3, 4, 4, 8, 6,
> 5, 5, 6, 4, 2, 8, 3, 5, 5, 6,
> 4, 6, 4, 4, 3, 6, 4, 6, 4, 5,
> 5, 5, 5, 3, 4, 3, 6, 5, 5, 5,
> 5, 3, 5, 4, 7, 5, 8, 6, 5, 5,
> 2, 4, 5, 4, 3, 8, 5, 3, 4, 12,
> 2, 5, 4, 3, 6, 5, 4, 3, 4, 6,
> 5, 2, 5, 6, 2, 3, 4, 4, 6, 5,
> 9, 5, 6, 5, 8, 7, 5, 7, 5, 9,
> 3, 4, 4, 4, 6, 3, 6, 6, 7, 7,
> 6, 6, 5, 3, 3, 7, 4, 4, 6, 2,
> 6, 4, 10, 4, 6, 5, 4, 9, 3, 5),
>
> adj = c(
> 3, 2,
> 650, 410, 397, 393, 25, 9, 8, 7, 6, 3, 1,
> 24, 17, 14, 7, 6, 4, 2, 1,
> 17, 15, 14, 7, 3,
> 24, 14, 13, 11,
> 798, 797, 651, 650, 251, 236, 234, 24, 9, 8, 3, 2,
> 393, 25, 17, 10, 4, 3, 2,
> 650, 9, 6, 2,
> 8, 6, 2,
> 116, 25, 19, 18, 17, 7,
> 24, 23, 21, 20, 16, 13, 5,
> 23, 22, 20, 14, 13,
> 14, 12, 11, 5,
> 15, 13, 12, 5, 4, 3,
> 21, 20, 19, 17, 14, 4,
> 786, 115, 24, 19, 11,
> 19, 18, 15, 10, 7, 4, 3,
> 19, 17, 10,
> 119, 118, 116, 115, 21, 18, 17, 16, 15, 10,
> 22, 21, 15, 12, 11,
> 20, 19, 15, 11,
> 23, 20, 12,
> 22, 12, 11,
> 797, 774, 16, 11, 6, 5, 3,
> 685, 407, 393, 116, 10, 7, 2,
> 540, 523, 358, 55, 51, 27,
> 55, 26,
> 338, 69, 68, 40, 39, 35, 32, 31,
> 34, 30,
> 67, 54, 34, 33, 29,
> 46, 35, 32, 28,
> 832, 826, 338, 47, 31, 28,
> 58, 48, 34, 30,
> 60, 59, 58, 33, 30, 29,
> 70, 69, 68, 61, 49, 46, 31, 28,
> 56, 55, 41, 40, 38, 37,
> 68, 39, 36,
> 40, 39, 36,
> 68, 40, 38, 37, 28,
> 359, 332, 41, 39, 38, 36, 28,
> 359, 55, 40, 36,
> 45, 44, 43,
> 836, 830, 814, 809, 60, 58, 44, 42,
> 60, 45, 43, 42,
> 60, 44, 42,
> 70, 47, 35, 31,
> 826, 71, 70, 46, 32,
> 58, 57, 50, 49, 33,
> 50, 48, 35,
> 63, 61, 57, 49, 48,
> 523, 56, 55, 52, 26,
> 524, 51,
> 67, 64, 54,
> 67, 53, 30,
> 359, 358, 56, 51, 41, 36, 27, 26,
> 55, 51, 36,
> 63, 58, 50, 48,
> 830, 829, 71, 62, 60, 57, 48, 43, 34, 33,
> 60, 34,
> 59, 58, 45, 44, 43, 34,
> 70, 63, 62, 50, 35,
> 71, 63, 61, 58,
> 62, 61, 57, 50,
> 65, 53,
> 64,
> 67,
> 66, 54, 53, 30,
> 69, 39, 37, 35, 28,
> 68, 35, 28,
> 71, 61, 47, 46, 35,
> 829, 70, 62, 58, 47,
> 91, 74, 73,
> 552, 551, 91, 90, 86, 83, 76, 74, 72,
> 96, 91, 90, 80, 78, 77, 73, 72,
> 749, 90, 85, 84, 79,
> 564, 562, 551, 88, 83, 73,
> 90, 85, 80, 78, 74,
> 96, 85, 77, 74,
> 90, 86, 84, 75,
> 90, 77, 74,
> 93, 92, 91, 89, 85, 83, 82,
> 93, 92, 87, 83, 81,
> 447, 417, 413, 94, 93, 91, 88, 87, 82, 81, 76, 73,
> 79, 75,
> 749, 96, 91, 90, 89, 81, 78, 77, 75,
> 552, 90, 79, 73,
> 417, 411, 95, 92, 83, 82,
> 562, 448, 447, 83, 76,
> 759, 749, 92, 85, 81,
> 86, 85, 80, 79, 77, 75, 74, 73,
> 96, 85, 83, 81, 74, 73, 72,
> 759, 734, 156, 155, 152, 95, 89, 87, 82, 81,
> 94, 83, 82, 81,
> 93, 83,
> 415, 411, 152, 92, 87,
> 91, 85, 78, 74,
> 121, 113, 112, 107, 103, 100,
> 99,
> 122, 116, 113, 112, 110, 108, 98,
> 119, 117, 116, 113, 106, 97,
> 120, 117, 115, 102,
> 125, 124, 120, 115, 106, 104, 101,
> 121, 112, 107, 97,
> 125, 124, 107, 105, 102,
> 124, 107, 104,
> 125, 121, 120, 117, 111, 102, 100,
> 129, 124, 121, 114, 112, 110, 109, 108, 105, 104, 103, 97,
> 112, 110, 107, 99,
> 125, 121, 111, 107,
> 135, 134, 129, 123, 122, 108, 107, 99,
> 125, 121, 109, 106,
> 113, 108, 107, 103, 99, 97,
> 116, 112, 100, 99, 97,
> 713, 707, 129, 126, 124, 107,
> 786, 607, 602, 124, 119, 118, 117, 102, 101, 19, 16,
> 688, 686, 685, 122, 119, 113, 100, 99, 25, 19, 10,
> 120, 119, 115, 106, 101, 100,
> 119, 115, 19,
> 118, 117, 116, 115, 100, 19,
> 117, 106, 102, 101,
> 111, 109, 107, 106, 103, 97,
> 705, 686, 123, 116, 110, 99,
> 705, 135, 122, 110,
> 707, 602, 598, 125, 115, 114, 107, 105, 104, 102,
> 124, 111, 109, 106, 104, 102,
> 713, 711, 709, 140, 136, 129, 114,
> 712, 710, 375, 373, 139, 130,
> 137, 132, 130,
> 136, 134, 131, 126, 114, 110, 107,
> 140, 139, 136, 134, 133, 132, 131, 128, 127,
> 136, 134, 130, 129,
> 139, 138, 134, 133, 130, 128,
> 138, 137, 132, 130,
> 141, 139, 135, 132, 131, 130, 129, 110,
> 705, 141, 134, 123, 110,
> 140, 131, 130, 129, 126,
> 133, 128,
> 139, 133, 132,
> 373, 364, 141, 138, 134, 132, 130, 127,
> 712, 709, 136, 130, 126,
> 705, 379, 364, 139, 135, 134,
> 160, 143,
> 160, 159, 157, 156, 151, 146, 142,
> 755, 645, 544, 530, 518, 154, 153,
> 156, 151, 150,
> 733, 157, 156, 154, 153, 143,
> 658, 157, 149, 148,
> 157, 149, 147,
> 658, 157, 153, 148, 147,
> 160, 159, 156, 155, 145,
> 160, 156, 145, 143,
> 426, 415, 155, 95, 92,
> 658, 645, 157, 154, 149, 146, 144,
> 755, 747, 733, 158, 153, 146, 144,
> 427, 426, 159, 157, 156, 152, 150, 92,
> 734, 733, 155, 151, 150, 146, 145, 143, 92,
> 674, 669, 658, 427, 159, 155, 153, 149, 148, 147, 146, 143,
> 755, 748, 747, 154,
> 160, 157, 155, 150, 143,
> 159, 151, 150, 143, 142,
> 250, 249, 248, 233, 232, 163, 162,
> 232, 163, 161,
> 232, 231, 223, 222, 162, 161,
> 253, 212, 166, 165,
> 212, 211, 210, 166, 164,
> 310, 216, 210, 165, 164,
> 279, 247, 246, 191, 168,
> 185, 169, 167,
> 244, 185, 168,
> 306, 287, 272, 243, 217, 172, 171,
> 172, 170,
> 287, 243, 171, 170,
> 270, 269, 266, 175, 174,
> 282, 269, 175, 173,
> 266, 174, 173,
> 252, 251, 212, 178, 177,
> 212, 211, 178, 176,
> 251, 211, 203, 201, 177, 176,
> 298, 222, 219, 188, 181, 180,
> 219, 214, 213, 181, 179,
> 299, 213, 180, 179,
> 783, 782, 203, 202, 199, 184, 183,
> 217, 200, 184, 182,
> 807, 183, 182,
> 279, 186, 169, 168,
> 277, 187, 185,
> 841, 284, 277, 186,
> 304, 259, 222, 189, 179,
> 304, 274, 219, 188,
> 288, 287, 192, 191,
> 192, 190, 167,
> 288, 265, 191, 190,
> 302, 281, 196, 195, 194,
> 282, 281, 197, 195, 193,
> 197, 196, 194, 193,
> 274, 273, 197, 195, 193,
> 273, 272, 266, 196, 195, 194,
> 230, 200, 199,
> 230, 200, 198, 182,
> 199, 198, 183,
> 211, 209, 203, 202, 178,
> 209, 208, 203, 201, 182,
> 782, 251, 202, 201, 182, 178,
> 362, 356, 350, 278, 246, 205,
> 361, 350, 278, 206, 204,
> 361, 350, 346, 332, 277, 205,
> 297, 228, 218, 208,
> 209, 207, 202,
> 297, 211, 208, 202, 201,
> 296, 211, 166, 165,
> 212, 210, 209, 201, 178, 177, 165,
> 211, 177, 176, 165, 164,
> 299, 275, 214, 181, 180,
> 275, 213, 180,
> 309, 308, 276, 216,
> 310, 296, 295, 276, 215, 166,
> 762, 284, 272, 260, 243, 229, 221, 218, 183, 170,
> 297, 295, 229, 217, 207,
> 220, 189, 180, 179,
> 272, 221, 219,
> 276, 275, 272, 220, 217,
> 294, 224, 223, 188, 179, 163,
> 231, 224, 222, 163,
> 294, 292, 223, 222,
> 679, 666, 646, 289, 227, 226,
> 258, 257, 227, 225,
> 291, 258, 257, 226, 225,
> 230, 229, 207,
> 230, 228, 218, 217,
> 229, 228, 199, 198,
> 292, 236, 233, 232, 223, 163,
> 233, 231, 163, 162, 161,
> 250, 239, 236, 232, 231, 161,
> 253, 251, 241, 240, 236, 235, 6,
> 310, 309, 253, 234,
> 651, 638, 292, 240, 239, 237, 234, 233, 231, 6,
> 677, 638, 239, 238, 236,
> 250, 239, 237,
> 238, 237, 236, 233,
> 293, 292, 242, 241, 236, 234,
> 309, 308, 242, 240, 234,
> 293, 241, 240,
> 286, 284, 272, 244, 217, 172, 170,
> 286, 243, 169,
> 355, 265, 246,
> 278, 265, 247, 245, 204, 167,
> 265, 246, 167,
> 649, 249, 161,
> 659, 649, 250, 248, 161,
> 678, 249, 238, 233, 161,
> 782, 252, 234, 203, 178, 176, 6,
> 253, 251, 176,
> 252, 235, 234, 164,
> 290, 289, 259, 255,
> 256, 254,
> 301, 255,
> 291, 259, 258, 227, 226,
> 259, 257, 227, 226,
> 290, 258, 257, 254, 188,
> 295, 276, 262, 261, 217,
> 295, 262, 260,
> 295, 261, 260,
> 288, 267, 265, 264,
> 355, 265, 263,
> 355, 288, 264, 263, 247, 246, 245, 192,
> 344, 307, 306, 270, 268, 267, 197, 175, 173,
> 305, 268, 266, 263,
> 307, 267, 266,
> 360, 283, 280, 270, 174, 173,
> 360, 271, 269, 266, 173,
> 363, 360, 270,
> 306, 274, 273, 243, 221, 220, 217, 197, 170,
> 274, 272, 197, 196,
> 304, 273, 272, 196, 189,
> 308, 276, 221, 214, 213,
> 275, 260, 221, 216, 215,
> 841, 840, 346, 279, 278, 206, 187, 186,
> 279, 277, 246, 205, 204,
> 278, 277, 185, 167,
> 360, 334, 289, 283, 269,
> 301, 282, 194, 193,
> 283, 281, 194, 174,
> 282, 280, 269,
> 839, 286, 285, 243, 217, 187,
> 286, 284,
> 285, 284, 244, 243,
> 288, 190, 172, 170,
> 287, 265, 263, 192, 190,
> 646, 357, 291, 290, 280, 254, 225,
> 291, 289, 259, 254,
> 290, 289, 257, 227,
> 294, 293, 240, 236, 231, 224,
> 300, 294, 292, 242, 240,
> 300, 293, 292, 224, 222,
> 297, 296, 262, 261, 260, 218, 216,
> 297, 295, 216, 210,
> 296, 295, 218, 209, 207,
> 299, 179,
> 300, 298, 213, 181,
> 299, 294, 293,
> 302, 281, 256,
> 303, 301, 193,
> 304, 302,
> 303, 274, 189, 188,
> 307, 306, 267,
> 307, 305, 272, 266, 170,
> 306, 305, 268, 266,
> 309, 275, 241, 215,
> 310, 308, 241, 235, 215,
> 309, 235, 216, 166,
> 605, 329,
> 328, 319, 314, 313,
> 328, 319, 318, 312,
> 328, 319, 318, 312,
> 330, 317, 316,
> 330, 327, 325, 324, 315,
> 330, 327, 326, 322, 321, 315,
> 594, 330, 329, 319, 314, 313,
> 318, 314, 313, 312,
> 323, 321,
> 805, 796, 330, 323, 322, 320, 317,
> 330, 328, 324, 321, 317,
> 805, 796, 772, 330, 321, 320,
> 328, 327, 325, 322, 316,
> 328, 324, 316,
> 327, 317,
> 326, 324, 317, 316,
> 325, 324, 322, 314, 313, 312,
> 594, 318, 311,
> 772, 603, 323, 322, 321, 318, 317, 316, 315,
> 351, 348, 346, 332,
> 362, 361, 359, 350, 348, 338, 331, 206, 40,
> 647, 360, 357, 353, 342, 340, 335, 334,
> 360, 357, 335, 333, 280,
> 357, 334, 333,
> 358, 353, 340, 337,
> 360, 358, 354, 353, 349, 336,
> 840, 834, 832, 351, 348, 347, 346, 339, 332, 32, 28,
> 351, 348, 338,
> 358, 353, 342, 341, 336, 333,
> 632, 358, 343, 342, 340,
> 647, 632, 343, 341, 340, 333,
> 342, 341,
> 363, 345, 266,
> 363, 355, 344,
> 840, 351, 347, 338, 331, 277, 206,
> 346, 338,
> 351, 339, 338, 332, 331,
> 360, 358, 352, 337,
> 362, 361, 332, 206, 205, 204,
> 348, 346, 339, 338, 331,
> 363, 358, 356, 355, 349,
> 354, 340, 337, 336, 333,
> 360, 353, 337,
> 352, 345, 265, 264, 245,
> 362, 352, 204,
> 647, 646, 335, 334, 333, 289,
> 632, 540, 359, 352, 349, 341, 340, 337, 336, 55, 26,
> 362, 358, 332, 55, 41, 40,
> 363, 354, 349, 337, 334, 333, 280, 271, 270, 269,
> 350, 332, 206, 205,
> 359, 356, 350, 332, 204,
> 360, 352, 345, 344, 271,
> 389, 385, 382, 380, 379, 376, 373, 141, 139,
> 388, 384, 378, 377, 374,
> 391, 367,
> 391, 372, 366,
> 622, 610, 382, 369,
> 387, 382, 368,
> 392, 391, 383, 373, 372,
> 392, 390, 389, 382,
> 373, 370, 367,
> 391, 386, 383, 380, 377, 375, 374, 372, 370, 364, 139, 127,
> 391, 388, 387, 384, 382, 377, 373, 365,
> 710, 386, 373, 127,
> 699, 626, 385, 379, 364,
> 386, 378, 374, 373, 365,
> 386, 377, 365,
> 705, 704, 699, 376, 364, 141,
> 383, 381, 373, 364,
> 389, 383, 380,
> 610, 392, 391, 390, 389, 385, 374, 371, 369, 368, 364,
> 381, 380, 373, 370,
> 388, 387, 374, 365,
> 626, 617, 610, 382, 376, 364,
> 378, 377, 375, 373,
> 388, 384, 374, 369,
> 387, 384, 374, 365,
> 390, 382, 381, 371, 364,
> 389, 382, 371,
> 392, 382, 374, 373, 370, 367, 366,
> 391, 382, 371, 370,
> 407, 397, 394, 25, 7, 2,
> 407, 406, 405, 401, 400, 399, 398, 397, 393,
> 871, 868, 689, 404, 402, 399,
> 408, 405, 402, 398,
> 567, 448, 425, 406, 394, 393, 2,
> 405, 401, 396, 394,
> 700, 694, 689, 408, 403, 402, 401, 400, 395, 394,
> 694, 407, 399, 394,
> 403, 399, 398, 394,
> 408, 405, 404, 399, 396, 395,
> 408, 401, 399,
> 871, 559, 546, 405, 402, 395,
> 559, 406, 404, 402, 398, 396, 394,
> 567, 559, 557, 555, 405, 397, 394,
> 694, 685, 400, 394, 393, 25,
> 403, 402, 399, 396,
> 674, 628, 442, 410,
> 650, 628, 452, 442, 433, 425, 409, 2,
> 417, 415, 412, 95, 87,
> 446, 421, 411,
> 447, 446, 421, 418, 417, 414, 83,
> 447, 437, 434, 421, 420, 413,
> 438, 436, 435, 426, 416, 411, 152, 95,
> 449, 436, 428, 426, 415,
> 446, 418, 413, 411, 87, 83,
> 446, 417, 413,
> 443, 439, 422,
> 421, 414,
> 446, 420, 414, 413, 412,
> 451, 444, 423, 419,
> 445, 443, 430, 422,
> 452, 451, 437, 430, 425,
> 567, 448, 447, 437, 424, 410, 397,
> 450, 449, 427, 416, 415, 155, 152,
> 674, 450, 449, 442, 441, 426, 157, 155,
> 449, 443, 436, 431, 429, 416,
> 445, 428,
> 445, 437, 431, 424, 423,
> 445, 430, 428,
> 433,
> 452, 432, 410,
> 438, 436, 435, 414,
> 438, 434, 415,
> 438, 437, 434, 428, 416, 415,
> 447, 436, 430, 425, 424, 414,
> 436, 435, 434, 415,
> 449, 444, 443, 440, 419,
> 449, 444, 441, 439,
> 449, 444, 442, 440, 427,
> 675, 674, 444, 441, 427, 410, 409,
> 445, 439, 428, 423, 419,
> 451, 442, 441, 440, 439, 422,
> 443, 431, 430, 429, 423,
> 421, 418, 417, 413, 412,
> 448, 437, 425, 414, 413, 88, 83,
> 567, 562, 447, 425, 397, 88,
> 450, 441, 440, 439, 428, 427, 426, 416,
> 449, 427, 426,
> 452, 444, 424, 422,
> 451, 433, 424, 410,
> 488, 465, 455, 454,
> 492, 484, 465, 455, 453,
> 488, 484, 454, 453,
> 498, 496, 495, 484, 457,
> 498, 483, 478, 477, 476, 456,
> 885, 883, 877, 616, 467, 466,
> 509, 505, 497, 469, 468,
> 509, 507, 505, 471, 470,
> 502, 500, 495, 462,
> 498, 495, 475, 461,
> 496, 495, 491, 490, 484, 479,
> 508, 488, 465,
> 508, 488, 464, 454, 453,
> 467, 458,
> 885, 619, 618, 616, 487, 484, 482, 481, 466, 458,
> 471, 470, 469, 459,
> 497, 486, 471, 468, 459,
> 509, 471, 468, 460,
> 885, 504, 503, 502, 501, 494, 488, 487, 473, 472, 470, 469, 468, 460,
> 503, 473, 471,
> 503, 485, 472, 471,
> 483, 478,
> 501, 499, 498, 476, 462,
> 501, 477, 475, 457,
> 501, 478, 476, 457,
> 483, 477, 474, 457,
> 506, 505, 491, 480, 463,
> 508, 492, 491, 479,
> 619, 484, 483, 482, 467,
> 619, 481, 467,
> 484, 481, 478, 474, 457,
> 496, 487, 483, 481, 467, 463, 456, 455, 454,
> 504, 495, 486, 473,
> 497, 485, 469,
> 885, 494, 493, 488, 484, 471, 467,
> 508, 507, 494, 487, 471, 465, 464, 455, 453,
> 492, 491, 490,
> 489, 463,
> 492, 489, 480, 479, 463,
> 491, 489, 480, 454,
> 494, 487,
> 493, 488, 487, 471,
> 506, 504, 496, 485, 463, 462, 461, 456,
> 495, 484, 463, 456,
> 506, 505, 486, 469, 459,
> 475, 462, 457, 456,
> 501, 500, 475,
> 502, 501, 499, 461,
> 502, 500, 499, 477, 476, 475, 471,
> 504, 501, 500, 471, 461,
> 504, 473, 472, 471,
> 503, 502, 495, 485, 471,
> 509, 507, 506, 497, 479, 460, 459,
> 505, 497, 495, 479,
> 508, 505, 488, 460,
> 507, 488, 480, 465, 464,
> 505, 470, 460, 459,
> 531, 511,
> 543, 531, 515, 510,
> 543, 538, 537, 515,
> 530, 516, 514,
> 645, 644, 631, 534, 530, 516, 513,
> 543, 537, 531, 520, 519, 512, 511,
> 534, 530, 528, 514, 513,
> 545, 518,
> 545, 530, 529, 517, 144,
> 520, 515,
> 541, 537, 531, 519, 515,
> 543, 538, 533, 524, 522,
> 541, 538, 537, 535, 528, 521,
> 540, 535, 524, 51, 26,
> 535, 533, 523, 521, 52,
> 719, 715, 545, 542, 526,
> 545, 542, 525,
> 541, 530, 528,
> 541, 535, 534, 530, 527, 522, 516,
> 545, 541, 536, 530, 518,
> 645, 541, 529, 528, 527, 518, 516, 514, 513, 144,
> 541, 532, 520, 515, 511, 510,
> 541, 531,
> 524, 521,
> 632, 631, 540, 539, 535, 528, 516, 514,
> 540, 534, 528, 524, 523, 522,
> 545, 542, 529,
> 541, 538, 522, 520, 515, 512,
> 543, 537, 522, 521, 512,
> 540, 534,
> 632, 539, 535, 534, 523, 358, 26,
> 537, 532, 531, 530, 529, 528, 527, 522, 520,
> 545, 536, 526, 525,
> 538, 521, 515, 512, 511,
> 755, 719, 545, 144,
> 719, 544, 542, 536, 529, 526, 525, 518, 517,
> 871, 869, 559, 553, 549, 404,
> 869, 867, 554, 549, 548,
> 553, 552, 549, 547,
> 869, 553, 548, 547, 546,
> 566, 565, 563, 553, 551,
> 565, 564, 553, 552, 550, 76, 73,
> 553, 551, 548, 86, 73,
> 566, 559, 552, 551, 550, 549, 548, 546,
> 867, 859, 572, 561, 547,
> 567, 557, 556, 406,
> 567, 563, 562, 557, 555,
> 563, 560, 559, 556, 555, 406,
> 565, 564, 563,
> 566, 560, 557, 553, 546, 406, 405, 404,
> 566, 563, 559, 557,
> 859, 592, 572, 554,
> 567, 564, 563, 556, 448, 88, 76,
> 566, 565, 564, 562, 560, 558, 557, 556, 550,
> 565, 563, 562, 558, 551, 76,
> 566, 564, 563, 558, 551, 550,
> 565, 563, 560, 559, 553, 550,
> 562, 556, 555, 448, 425, 406, 397,
> 872, 592, 585, 584, 581, 579, 574, 573,
> 580, 575, 571, 570,
> 876, 856, 583, 582, 575, 569,
> 591, 589, 584, 580, 575, 574, 569,
> 592, 590, 587, 578, 561, 554,
> 579, 574, 568,
> 589, 584, 579, 573, 571, 568,
> 591, 589, 585, 583, 577, 571, 570, 569,
> 588, 587, 580, 578,
> 589, 585, 579, 575,
> 590, 588, 587, 586, 576, 572,
> 585, 577, 574, 573, 568,
> 587, 576, 571, 569,
> 872, 854, 585, 582, 568,
> 856, 854, 585, 583, 581, 570,
> 585, 582, 575, 570,
> 592, 587, 574, 571, 568,
> 583, 582, 581, 579, 577, 575, 568,
> 587, 578,
> 592, 586, 584, 580, 578, 576, 572,
> 590, 578, 576,
> 591, 577, 575, 574, 571,
> 588, 578, 572,
> 589, 575, 571,
> 872, 587, 584, 572, 568, 561,
> 606, 603, 601, 600, 599, 595,
> 605, 603, 329, 318,
> 606, 600, 593,
> 608, 604, 597,
> 606, 602, 601, 600, 596,
> 707, 602, 124,
> 608, 604, 603, 601, 593,
> 601, 597, 595, 593,
> 608, 600, 599, 597, 593,
> 607, 606, 598, 597, 124, 115,
> 772, 607, 606, 599, 594, 593, 330,
> 608, 599, 596,
> 594, 311,
> 607, 603, 602, 597, 595, 593,
> 786, 773, 772, 606, 603, 602, 115,
> 604, 601, 599, 596,
> 617, 615, 610,
> 624, 623, 622, 617, 609, 385, 382, 368,
> 625, 624, 622, 620, 618, 617, 612,
> 624, 621, 617, 611,
> 626, 625, 616,
> 621, 617, 615,
> 623, 621, 614, 609,
> 883, 695, 626, 625, 618, 613, 467, 458,
> 626, 625, 621, 614, 612, 611, 610, 609, 385,
> 625, 620, 619, 616, 611, 467,
> 620, 618, 482, 481, 467,
> 619, 618, 611,
> 624, 617, 615, 614, 612,
> 624, 611, 610, 368,
> 624, 615, 610,
> 623, 622, 621, 612, 611, 610,
> 626, 618, 617, 616, 613, 611,
> 699, 698, 696, 695, 625, 617, 616, 613, 385, 376,
> 674, 669, 668, 661, 651, 650, 635, 628,
> 674, 650, 627, 410, 409,
> 683, 667, 634, 630,
> 684, 671, 635, 629,
> 673, 658, 644, 637, 632, 534, 514,
> 656, 647, 637, 631, 540, 534, 358, 342, 341,
> 662, 635, 634,
> 635, 633, 629,
> 671, 661, 651, 641, 638, 634, 633, 630, 627,
> 655, 653, 637,
> 676, 673, 664, 663, 661, 656, 655, 636, 632, 631,
> 677, 651, 641, 640, 639, 635, 237, 236,
> 642, 640, 638,
> 678, 677, 639, 638,
> 682, 671, 643, 642, 638, 635,
> 641, 639,
> 679, 671, 670, 666, 665, 652, 648, 641,
> 658, 645, 631, 514,
> 658, 644, 530, 514, 153, 144,
> 679, 666, 665, 656, 647, 357, 289, 225,
> 656, 646, 632, 357, 342, 333,
> 679, 649, 643,
> 659, 648, 249, 248,
> 651, 628, 627, 410, 8, 6, 2,
> 650, 638, 635, 627, 236, 6,
> 684, 671, 670, 665, 654, 653, 643,
> 684, 680, 664, 655, 654, 652, 636,
> 665, 656, 653, 652,
> 656, 653, 637, 636,
> 666, 665, 655, 654, 647, 646, 637, 632,
> 672, 658,
> 673, 672, 669, 657, 645, 644, 631, 157, 153, 149, 147,
> 678, 660, 649, 249,
> 682, 681, 659,
> 680, 676, 673, 668, 667, 662, 637, 635, 627,
> 667, 661, 633,
> 676, 664, 637,
> 680, 663, 653, 637,
> 666, 656, 654, 652, 646, 643,
> 679, 665, 656, 646, 643, 225,
> 683, 680, 662, 661, 629,
> 673, 672, 669, 661, 627,
> 674, 672, 668, 658, 627, 157,
> 671, 652, 643,
> 684, 670, 652, 643, 641, 635, 630,
> 673, 669, 668, 658, 657,
> 672, 668, 661, 658, 637, 631,
> 675, 669, 628, 627, 442, 427, 409, 157,
> 674, 442,
> 680, 663, 661, 637,
> 678, 640, 638, 237,
> 677, 659, 640, 250,
> 666, 648, 646, 643, 225,
> 676, 667, 664, 661, 653,
> 682, 660,
> 681, 660, 641,
> 684, 667, 629,
> 683, 671, 653, 652, 630,
> 694, 693, 691, 688, 687, 407, 116, 25,
> 705, 693, 692, 688, 122, 116,
> 688, 685,
> 693, 687, 686, 685, 116,
> 883, 868, 700, 696, 695, 399, 395,
> 703, 693, 691,
> 702, 694, 693, 690, 685,
> 705, 704, 700, 698, 697, 693, 686,
> 703, 700, 694, 692, 691, 690, 688, 686, 685,
> 703, 702, 701, 700, 693, 691, 685, 407, 400, 399,
> 883, 696, 689, 626, 616,
> 700, 698, 697, 695, 689, 626,
> 698, 696, 692,
> 704, 699, 697, 696, 692, 626,
> 704, 698, 626, 379, 376,
> 696, 694, 693, 692, 689, 399,
> 702, 694,
> 703, 701, 694, 691,
> 702, 694, 693, 690,
> 705, 699, 698, 692, 379,
> 704, 692, 686, 379, 141, 135, 123, 122,
> 714, 711,
> 713, 598, 124, 114,
> 714, 711, 709,
> 714, 712, 711, 708, 140, 126,
> 712, 375, 127,
> 714, 713, 709, 708, 706, 126,
> 714, 710, 709, 140, 127,
> 711, 707, 126, 114,
> 712, 711, 709, 708, 706,
> 719, 716, 525,
> 719, 715,
> 759, 738, 737, 732, 731, 728, 718,
> 759, 732, 731, 722, 717,
> 755, 746, 743, 742, 716, 715, 545, 544, 525,
> 755, 751, 750, 748, 724, 721,
> 748, 739, 729, 724, 723, 720,
> 759, 754, 749, 740, 739, 731, 718,
> 751, 724, 721,
> 751, 723, 721, 720,
> 753, 749, 726,
> 725,
> 739, 736, 731, 728,
> 758, 736, 731, 727, 717,
> 758, 756, 748, 733, 730, 721,
> 761, 760, 758, 757, 734, 733, 729,
> 739, 732, 728, 727, 722, 718, 717,
> 731, 718, 717,
> 748, 747, 734, 730, 729, 156, 154, 146,
> 761, 759, 738, 733, 730, 156, 92,
> 756, 739, 736,
> 756, 739, 735, 728, 727,
> 760, 758, 738, 717,
> 761, 759, 737, 734, 717,
> 740, 736, 735, 731, 727, 722, 721,
> 754, 741, 739, 722,
> 754, 753, 740,
> 744, 743, 719,
> 746, 745, 744, 742, 719,
> 746, 745, 743, 742,
> 746, 744, 743,
> 755, 750, 745, 744, 743, 719,
> 748, 733, 158, 154,
> 755, 747, 733, 729, 721, 720, 158,
> 759, 754, 753, 725, 722, 89, 85, 75,
> 755, 746, 720,
> 752, 724, 723, 720,
> 751,
> 754, 749, 741, 725,
> 753, 749, 741, 740, 722,
> 750, 748, 746, 720, 719, 544, 158, 154, 144,
> 758, 736, 735, 729,
> 760, 758, 730,
> 760, 757, 756, 737, 730, 729, 728,
> 749, 738, 734, 722, 718, 717, 92, 89,
> 761, 758, 757, 737, 730,
> 760, 738, 734, 730,
> 808, 806, 804, 801, 763, 217,
> 784, 781, 762,
> 786, 775, 767, 766, 765,
> 786, 773, 767, 764,
> 775, 767, 764,
> 775, 773, 766, 765, 764,
> 792, 780, 779, 769,
> 802, 779, 768,
> 799, 793, 771,
> 799, 793, 791, 790, 777, 770,
> 802, 796, 795, 794, 792, 775, 774, 773, 607, 603, 330, 323,
> 786, 775, 772, 767, 765, 607,
> 803, 798, 797, 785, 775, 772, 24,
> 786, 774, 773, 772, 767, 766, 764,
> 791, 789, 777,
> 779, 778, 776, 771,
> 803, 799, 779, 777,
> 803, 802, 789, 780, 778, 777, 769, 768,
> 800, 792, 788, 781, 779, 768,
> 801, 800, 784, 780, 763,
> 798, 783, 251, 203, 182,
> 807, 793, 790, 788, 782, 182,
> 808, 787, 781, 763,
> 786, 774,
> 785, 775, 773, 765, 764, 607, 115, 16,
> 808, 807, 784,
> 807, 790, 789, 783, 780,
> 791, 790, 788, 779, 776,
> 793, 791, 789, 788, 783, 771,
> 790, 789, 776, 771,
> 802, 800, 794, 780, 772, 768,
> 790, 783, 771, 770,
> 800, 795, 792, 772,
> 796, 794, 772,
> 805, 801, 795, 772, 323, 321,
> 798, 774, 24, 6,
> 803, 799, 797, 782, 774, 6,
> 798, 778, 771, 770,
> 801, 794, 792, 781, 780,
> 804, 800, 796, 781, 762,
> 803, 792, 779, 772, 769,
> 802, 798, 779, 778, 774,
> 805, 801, 762,
> 804, 796, 323, 321,
> 808, 807, 762,
> 808, 806, 788, 787, 783, 184,
> 807, 806, 787, 784, 762,
> 830, 816, 814, 810, 43,
> 830, 819, 816, 811, 809,
> 819, 818, 816, 815, 810,
> 838, 836, 825,
> 836, 824, 816, 815, 814,
> 836, 813, 809, 43,
> 824, 820, 818, 817, 816, 813, 811,
> 815, 813, 811, 810, 809,
> 848, 844, 838, 837, 821, 820, 818, 815,
> 830, 820, 819, 817, 815, 811,
> 831, 830, 818, 811, 810,
> 824, 821, 818, 817, 815,
> 820, 817,
> 844, 843, 837, 823,
> 847, 845, 843, 835, 822,
> 825, 820, 815, 813,
> 836, 824, 812,
> 835, 832, 830, 829, 828, 827, 47, 32,
> 848, 844, 830, 828, 826,
> 835, 827, 826,
> 830, 826, 71, 58,
> 848, 844, 831, 829, 827, 826, 819, 818, 810, 809, 58, 43,
> 830, 819,
> 834, 833, 826, 338, 32,
> 846, 843, 835, 832,
> 840, 832, 338,
> 847, 846, 833, 828, 826, 823,
> 825, 814, 813, 812, 43,
> 843, 838, 822, 817,
> 837, 817, 812,
> 842, 841, 840, 284,
> 841, 839, 834, 346, 338, 277,
> 842, 840, 839, 277, 187,
> 841, 839,
> 847, 837, 833, 823, 822,
> 848, 845, 830, 827, 822, 817,
> 844, 823,
> 847, 835, 833,
> 846, 843, 835, 823,
> 844, 830, 827, 817,
> 869, 867, 857, 855, 853, 851,
> 865, 864, 863, 857, 855,
> 872, 867, 859, 858, 856, 854, 853, 852, 849,
> 870, 862, 861, 853, 851,
> 870, 865, 857, 852, 851, 849,
> 872, 856, 851, 582, 581,
> 871, 869, 868, 864, 860, 857, 850, 849,
> 881, 876, 858, 854, 851, 582, 570,
> 865, 855, 853, 850, 849,
> 881, 870, 862, 861, 860, 856, 851,
> 872, 867, 851, 561, 554,
> 883, 881, 870, 868, 866, 864, 863, 858, 855,
> 862, 858, 852,
> 870, 861, 858, 852,
> 865, 864, 860, 850,
> 863, 860, 855, 850,
> 870, 866, 863, 857, 853, 850,
> 870, 865, 860,
> 869, 859, 851, 849, 554, 547,
> 883, 871, 860, 855, 689, 395,
> 871, 867, 855, 849, 549, 547, 546,
> 866, 865, 862, 860, 858, 853, 852,
> 869, 868, 855, 546, 404, 395,
> 859, 854, 851, 592, 581, 568,
> 888, 885, 883, 882, 877,
> 890, 887, 878,
> 880, 879, 876,
> 888, 881, 880, 879, 875, 856, 570,
> 885, 883, 873, 458,
> 890, 888, 882, 874,
> 889, 888, 886, 884, 876, 875,
> 876, 875,
> 888, 883, 876, 860, 858, 856,
> 890, 888, 878, 873,
> 888, 881, 877, 873, 868, 860, 695, 689, 616, 458,
> 888, 887, 886, 879,
> 877, 873, 487, 471, 467, 458,
> 890, 889, 887, 884, 879,
> 888, 886, 884, 874,
> 887, 884, 883, 882, 881, 879, 878, 876, 873,
> 890, 886, 879,
> 889, 886, 882, 878, 874),
>
> weights=
> c(
> 1,1,
> 1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,
> 1,1,1,
> 1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,

> 1,1,1,1,1,1,
> 1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,
> 1,1,1,1,1,
> 1,1,1,1,
> 1,1,1,1,1,1,1,1,1,
> 1,1,1,
> 1,1,1,1,1,
> 1)
> )
>
> -------------------------------------------------------------------
> This list is for discussion of modelling issues and the BUGS software.
> For help with crashes and error messages, first mail [log in to unmask]
> To mail the BUGS list, mail to [log in to unmask]
> Before mailing, please check the archive at www.jiscmail.ac.uk/lists/bugs.html
> Please do not mail attachments to the list.
> To leave the BUGS list, send LEAVE BUGS to [log in to unmask]
> If this fails, mail [log in to unmask], NOT the whole list
>   

-------------------------------------------------------------------
This list is for discussion of modelling issues and the BUGS software.
For help with crashes and error messages, first mail [log in to unmask]
To mail the BUGS list, mail to [log in to unmask]
Before mailing, please check the archive at www.jiscmail.ac.uk/lists/bugs.html
Please do not mail attachments to the list.
To leave the BUGS list, send LEAVE BUGS to [log in to unmask]
If this fails, mail [log in to unmask], NOT the whole list

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