☰

BvS Watchmaker Script (Gold)

Tells you which path to take in order to fix your watch

目前为 2018-03-17 提交的版本。查看 最新版本。

  1. // ==UserScript==
  2. // @name           BvS Watchmaker Script (Gold)
  3. // @namespace      Conster
  4. // @description    Tells you which path to take in order to fix your watch
  5. // @version        1.4
  6. // @history        1.4 New domain - animecubedgaming.com - Channel28
  7. // @history        1.3 Now https compatible (Updated by Channel28)
  8. // @history        1.2 Added grant permissions (Updated by Channel28)
  9. // @history        1.1 Upgrade to Gold
  10. // @history        1.0 Initial Release
  11. // @include        http*://*animecubed.com/billy/bvs/workshop.html
  12. // @include        http*://*animecubed.com/billy/bvs/itemorder.html
  13. // @include        http*://*animecubedgaming.com/billy/bvs/workshop.html
  14. // @include        http*://*animecubedgaming.com/billy/bvs/itemorder.html
  15. // @grant          GM_getValue
  16. // @grant          GM_setValue
  17. // ==/UserScript==
  18.  
  19. var requirements = [[3,2,15],[8,11,1],[17,21,20],[34,1,30],[28,10,2],[17,100,27],[33,32,16],[4,19,50],[100,11,27]];
  20. var solutions = [];
  21. makeList();		//need this for if a path has been picked: makes the solutions for each step
  22. var paths = [];
  23. var temppaths = [];
  24. var paths = [];
  25. var playername = "";
  26. loadPlayerName();
  27. var wheeldata = "";
  28. var pathdata = "";
  29. var newhaves = [];	//this is the top 10 of possible paths
  30. var newremains = [];
  31. var stepscompleted = 0;
  32.  
  33. if (document.forms.namedItem( "mixit" ) ) {
  34. 	//at Workshop page
  35. 	makeStartPaths();
  36. 	checkProgress();
  37. 	getGM();
  38. 	var patharray = pathdata.split(",");
  39. 	if (patharray[stepscompleted] != -1) {
  40. 		//a path has been planned - let's fill in the fields
  41. 		fillInPath();
  42. 	}
  43. } else {
  44. 	//at item reorganization page
  45. 	readGears();
  46. }
  47.  
  48. function loadPlayerName() {
  49. 	try {
  50. 		var temp = document.getElementsByName("player")[0];
  51. 		if ((temp == null) || (temp.localName.toLowerCase() == "text") || (temp.value.length == 0))
  52. 			return;
  53. 		playername = temp.value;
  54. 	} catch(e) {
  55. 		alert("Exception!\n\nError name: " + e.name + "\nError message: " + e.message);
  56. 	}
  57. }
  58.  
  59. function makeList() {
  60. 	var sol0 = [[1,0,0,0,4,-2,0,-2,1],[1,0,0,0,4,-2,3,0,0],[1,0,0,1,0,0,0,-2,1],[1,0,0,1,0,0,3,0,0]];
  61. 	var sol1 = [[-3,0,1,0,1,0,-1,1,0],[0,1,0,-5,0,1,-1,1,0],[0,1,0,0,1,0,-1,1,0]];
  62. 	var sol2 = [[0,0,1,0,0,1,-2,5,0],[0,0,1,0,0,1,1,-2,1],[0,0,1,0,0,1,4,0,0],[0,0,1,5,1,0,1,-2,1],[0,0,1,5,1,0,4,0,0],[3,1,0,0,0,1,1,-2,1],[3,1,0,0,0,1,4,0,0]];
  63. 	var sol3 = [[0,0,2,0,2,-1,0,-4,2],[0,0,2,0,2,-1,0,5,0],[0,0,2,0,2,-1,3,-2,1],[0,0,2,0,2,-1,6,0,0]];
  64. 	var sol4 = [[-2,0,2,0,-1,1,-2,2,0],[1,1,1,0,-1,1,-5,0,1],[1,1,1,0,-1,1,-2,2,0],[1,1,1,0,-1,1,1,4,-1]];
  65. 	var sol5 = [[0,0,1,-3,2,4,0,0,1],[0,0,1,1,7,1,0,0,1],[0,0,1,2,3,3,0,0,1],[0,0,1,3,-1,5,0,0,1]];
  66. 	var sol6 = [[-3,1,2,0,1,1,-1,-1,1],[-3,1,2,0,1,1,2,1,0],[0,2,1,0,1,1,-1,-1,1],[0,2,1,0,1,1,2,1,0],[3,3,0,0,1,1,-1,-1,1],[3,3,0,0,1,1,2,1,0]];
  67. 	var sol7 = [[1,-2,1,-1,0,1,-2,1,2],[1,-2,1,-1,0,1,1,3,1]];
  68. 	var sol8 = [[0,4,4,0,1,0,0,0,1],[2,-1,6,0,1,0,0,0,1]];
  69. 	solutions = [sol0,sol1,sol2,sol3,sol4,sol5,sol6,sol7,sol8];
  70. }
  71.  
  72. function makePaths(starthere) {
  73. 	//step 1: make paths using solely the step you're currently at
  74. 	var currentsolutions = solutions[starthere];
  75. 	paths = [];
  76. 	var oldpaths = [];
  77. 	for (var index2 = 0; index2 < currentsolutions.length; index2++) {
  78. 		var inserthere = paths.length;
  79. 		var tba = [-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0];
  80. 		//too lazy to shorten the list to only 9 repair steps, as that requires changing the indexes in numerous places
  81. 		var ba2 = currentsolutions[index2].slice();
  82. 		tba[starthere] = index2;
  83. 		tba[12] = Math.abs(ba2[0]);
  84. 		tba[13] = Math.abs(ba2[1]);
  85. 		tba[14] = Math.abs(ba2[2]);
  86. 		tba[15] = Math.abs(ba2[3]);
  87. 		tba[16] = Math.abs(ba2[4]);
  88. 		tba[17] = Math.abs(ba2[5]);
  89. 		tba[18] = Math.abs(ba2[6]);
  90. 		tba[19] = Math.abs(ba2[7]);
  91. 		tba[20] = Math.abs(ba2[8]);
  92. 		paths[inserthere] = tba.slice();
  93. 	}
  94. 	//step 2: go through the remaining bronze+silver+gold steps 1 by 1 (if there are any)
  95. 	var starthere2 = starthere+1;	
  96. 	for (var index = starthere2; index < 9; index++) {//index is current step
  97. 		alert(index + " steps completed\n"
  98. 			+paths.length+" paths so far\n"
  99. 			+solutions[index].length+" solutions for this step");
  100. 		oldpaths = [];
  101. 		for (var i = 0; i < paths.length; i++) {	oldpaths[i] = paths[i].slice();	}
  102. 		paths = [];
  103. 		temppaths = []; 
  104. 		currentsolutions = solutions[index];
  105. 		for (var index1 = 0; index1 < oldpaths.length; index1++) {//index1 is an old path
  106. 			for (var index2 = 0; index2 < currentsolutions.length; index2++) {//index2 is a solution for current step
  107. 				var newba = oldpaths[index1].slice();
  108. 				var ba2 = currentsolutions[index2].slice();
  109. 				newba[index] = index2;
  110. 				newba[12] = newba[12] + Math.abs(ba2[0]);
  111. 				newba[13] = newba[13] + Math.abs(ba2[1]);
  112. 				newba[14] = newba[14] + Math.abs(ba2[2]);
  113. 				newba[15] = newba[15] + Math.abs(ba2[3]);
  114. 				newba[16] = newba[16] + Math.abs(ba2[4]);
  115. 				newba[17] = newba[17] + Math.abs(ba2[5]);
  116. 				newba[18] = newba[18] + Math.abs(ba2[6]);
  117. 				newba[19] = newba[19] + Math.abs(ba2[7]);
  118. 				newba[20] = newba[20] + Math.abs(ba2[8]);
  119. 				addToPathsBSG(newba);
  120. 			}
  121. 		}
  122. 		//temppaths may contain null-entries
  123. 		var addhere = 0;
  124. 		for (var i = 0; i < temppaths.length; i++) {
  125. 			if (temppaths[i] != null) {
  126. 				paths[addhere] = temppaths[i].slice();
  127. 				addhere = addhere + 1;
  128. 			}
  129. 		}
  130. 	}
  131. 	alert("Done! "+paths.length+" total paths found.\nNow press \"p\" to calculate which paths you have enough gears for.");
  132.  
  133. 	//debug stuff
  134. 	var debug = ""+paths.length+"\n";
  135. 	for (var i = 0; i < paths.length; i++) {
  136. 		for (var i2 = 0; i2 < paths[i].length; i2++) {
  137. 			debug = debug + paths[i][i2] + ",";
  138. 		}
  139. 		debug = debug + "\n";
  140. 	}
  141. 	//alert(debug);
  142. }
  143.  
  144. function addToPathsBSG(path) {
  145. 	var notdoneyet = true;
  146. 	var addhere = temppaths.length;
  147. 	for (var index = 0; notdoneyet && (index < temppaths.length); index++) {
  148. 		if (temppaths[index] == null) {
  149. 			//we have a removed entry: insert this path in lowest available slot if it passes the test
  150. 			addhere = Math.min(addhere,index);
  151. 		} else {
  152. 			var compare = temppaths[index].slice();
  153. 			var bsc = Math.abs(compare[12]);	var bss = Math.abs(path[12]);
  154. 			var bmc = Math.abs(compare[13]);	var bms = Math.abs(path[13]);
  155. 			var blc = Math.abs(compare[14]);	var bls = Math.abs(path[14]);
  156. 			var ssc = Math.abs(compare[15]);	var sss = Math.abs(path[15]);
  157. 			var smc = Math.abs(compare[16]);	var sms = Math.abs(path[16]);
  158. 			var slc = Math.abs(compare[17]);	var sls = Math.abs(path[17]);
  159. 			var gsc = Math.abs(compare[18]);	var gss = Math.abs(path[18]);
  160. 			var gmc = Math.abs(compare[19]);	var gms = Math.abs(path[19]);
  161. 			var glc = Math.abs(compare[20]);	var gls = Math.abs(path[20]);
  162. 			if ((bsc <= bss) && (bmc <= bms) && (blc <= bls)
  163. 			 && (ssc <= sss) && (smc <= sms) && (slc <= sls)
  164. 			 && (gsc <= gss) && (gmc <= gms) && (glc <= gls)) {
  165. 				//an existing path is superior on all fronts
  166. 				notdoneyet = false;
  167. 			} else if ((bsc >= bss) && (bmc >= bms) && (blc >= bls)
  168. 				&& (ssc >= sss) && (smc >= sms) && (slc >= sls)
  169. 				&& (gsc >= gss) && (gmc >= gms) && (glc >= gls)) {
  170. 				//the new path is superior to an existing path on all fronts
  171. 				//remove the old path
  172. 				temppaths[index] = null;
  173. 				addhere = Math.min(addhere,index);
  174. 			}
  175. 		}
  176. 	}
  177. 	if (notdoneyet) {
  178. 		//we've reached the end, and the path is not inferior
  179. 		temppaths[addhere] = path.slice();
  180. 	}
  181. }
  182.  
  183.  
  184.  
  185.  
  186.  
  187.  
  188. function makeStartPaths() {
  189. 	paths[0] = [0,2,1,0,3,1,2,1,0,0,0,0,3,10,11,2,17,8,5,17,9];
  190. 	paths[1] = [0,2,1,1,3,1,2,1,0,0,0,0,3,10,11,2,17,8,5,18,7];
  191. 	paths[2] = [0,2,1,0,2,1,2,1,0,0,0,0,3,10,11,2,17,8,6,15,8];
  192. 	paths[3] = [0,2,1,1,2,1,2,1,0,0,0,0,3,10,11,2,17,8,6,16,6];
  193. 	paths[4] = [0,2,1,0,2,1,2,0,0,0,0,0,3,10,11,2,17,8,7,13,9];
  194. 	paths[5] = [0,2,1,1,2,1,2,0,0,0,0,0,3,10,11,2,17,8,7,14,7];
  195. 	paths[6] = [0,2,1,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,7,16,5];
  196. 	paths[7] = [0,2,1,0,2,1,3,0,0,0,0,0,3,10,11,2,17,8,8,13,8];
  197. 	paths[8] = [0,2,1,1,2,1,3,0,0,0,0,0,3,10,11,2,17,8,8,14,6];
  198. 	paths[9] = [0,2,0,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,8,19,4];
  199. 	paths[10] = [0,2,1,2,2,1,2,1,0,0,0,0,3,10,11,2,17,8,9,13,7];
  200. 	paths[11] = [0,2,3,1,2,1,2,1,0,0,0,0,3,10,11,2,17,8,9,14,5];
  201. 	paths[12] = [0,2,1,2,2,1,2,0,0,0,0,0,3,10,11,2,17,8,10,11,8];
  202. 	paths[13] = [0,2,3,1,2,1,2,0,0,0,0,0,3,10,11,2,17,8,10,12,6];
  203. 	paths[14] = [0,2,3,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,10,14,4];
  204. 	paths[15] = [0,2,1,2,2,1,3,0,0,0,0,0,3,10,11,2,17,8,11,11,7];
  205. 	paths[16] = [0,2,3,1,2,1,3,0,0,0,0,0,3,10,11,2,17,8,11,12,5];
  206. 	paths[17] = [1,2,0,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,11,17,3];
  207. 	paths[18] = [0,2,1,3,2,1,2,1,0,0,0,0,3,10,11,2,17,8,12,11,6];
  208. 	paths[19] = [1,2,3,1,2,1,2,1,0,0,0,0,3,10,11,2,17,8,12,12,4];
  209. 	paths[20] = [0,2,1,3,2,1,2,0,0,0,0,0,3,10,11,2,17,8,13,9,7];
  210. 	paths[21] = [1,2,3,1,2,1,2,0,0,0,0,0,3,10,11,2,17,8,13,10,5];
  211. 	paths[22] = [1,2,3,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,13,12,3];
  212. 	paths[23] = [0,2,1,3,2,1,3,0,0,0,0,0,3,10,11,2,17,8,14,9,6];
  213. 	paths[24] = [1,2,3,1,2,1,3,0,0,0,0,0,3,10,11,2,17,8,14,10,4];
  214. 	paths[25] = [0,2,3,3,2,1,2,1,0,0,0,0,3,10,11,2,17,8,15,9,5];
  215. 	paths[26] = [0,2,3,3,2,1,2,0,0,0,0,0,3,10,11,2,17,8,16,7,6];
  216. 	paths[27] = [0,2,3,3,2,1,3,1,0,0,0,0,3,10,11,2,17,8,16,9,4];
  217. 	paths[28] = [0,2,3,3,2,1,3,0,0,0,0,0,3,10,11,2,17,8,17,7,5];
  218. 	paths[29] = [1,2,3,3,2,1,2,1,0,0,0,0,3,10,11,2,17,8,18,7,4];
  219. 	paths[30] = [1,2,3,3,2,1,2,0,0,0,0,0,3,10,11,2,17,8,19,5,5];
  220. 	paths[31] = [1,2,3,3,2,1,3,1,0,0,0,0,3,10,11,2,17,8,19,7,3];
  221. 	paths[32] = [1,2,3,3,2,1,3,0,0,0,0,0,3,10,11,2,17,8,20,5,4];
  222. 	paths[33] = [1,2,3,3,1,1,2,0,0,0,0,0,3,10,11,2,17,8,22,3,6];
  223. 	paths[34] = [1,2,3,3,1,1,3,0,0,0,0,0,3,10,11,2,17,8,23,3,5];
  224. 	paths[35] = [2,2,1,0,3,1,2,1,0,0,0,0,3,10,11,3,13,6,5,17,9];
  225. 	paths[36] = [2,2,1,1,3,1,2,1,0,0,0,0,3,10,11,3,13,6,5,18,7];
  226. 	paths[37] = [2,2,1,0,2,1,2,1,0,0,0,0,3,10,11,3,13,6,6,15,8];
  227. 	paths[38] = [2,2,1,1,2,1,2,1,0,0,0,0,3,10,11,3,13,6,6,16,6];
  228. 	paths[39] = [2,2,1,0,2,1,2,0,0,0,0,0,3,10,11,3,13,6,7,13,9];
  229. 	paths[40] = [2,2,1,1,2,1,2,0,0,0,0,0,3,10,11,3,13,6,7,14,7];
  230. 	paths[41] = [2,2,1,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,7,16,5];
  231. 	paths[42] = [2,2,1,0,2,1,3,0,0,0,0,0,3,10,11,3,13,6,8,13,8];
  232. 	paths[43] = [2,2,1,1,2,1,3,0,0,0,0,0,3,10,11,3,13,6,8,14,6];
  233. 	paths[44] = [2,2,0,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,8,19,4];
  234. 	paths[45] = [2,2,1,2,2,1,2,1,0,0,0,0,3,10,11,3,13,6,9,13,7];
  235. 	paths[46] = [2,2,3,1,2,1,2,1,0,0,0,0,3,10,11,3,13,6,9,14,5];
  236. 	paths[47] = [2,2,1,2,2,1,2,0,0,0,0,0,3,10,11,3,13,6,10,11,8];
  237. 	paths[48] = [2,2,3,1,2,1,2,0,0,0,0,0,3,10,11,3,13,6,10,12,6];
  238. 	paths[49] = [2,2,3,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,10,14,4];
  239. 	paths[50] = [2,2,1,2,2,1,3,0,0,0,0,0,3,10,11,3,13,6,11,11,7];
  240. 	paths[51] = [2,2,3,1,2,1,3,0,0,0,0,0,3,10,11,3,13,6,11,12,5];
  241. 	paths[52] = [4,2,0,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,11,17,3];
  242. 	paths[53] = [2,2,1,3,2,1,2,1,0,0,0,0,3,10,11,3,13,6,12,11,6];
  243. 	paths[54] = [4,2,3,1,2,1,2,1,0,0,0,0,3,10,11,3,13,6,12,12,4];
  244. 	paths[55] = [2,2,1,3,2,1,2,0,0,0,0,0,3,10,11,3,13,6,13,9,7];
  245. 	paths[56] = [4,2,3,1,2,1,2,0,0,0,0,0,3,10,11,3,13,6,13,10,5];
  246. 	paths[57] = [4,2,3,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,13,12,3];
  247. 	paths[58] = [2,2,1,3,2,1,3,0,0,0,0,0,3,10,11,3,13,6,14,9,6];
  248. 	paths[59] = [4,2,3,1,2,1,3,0,0,0,0,0,3,10,11,3,13,6,14,10,4];
  249. 	paths[60] = [2,2,3,3,2,1,2,1,0,0,0,0,3,10,11,3,13,6,15,9,5];
  250. 	paths[61] = [2,2,3,3,2,1,2,0,0,0,0,0,3,10,11,3,13,6,16,7,6];
  251. 	paths[62] = [2,2,3,3,2,1,3,1,0,0,0,0,3,10,11,3,13,6,16,9,4];
  252. 	paths[63] = [2,2,3,3,2,1,3,0,0,0,0,0,3,10,11,3,13,6,17,7,5];
  253. 	paths[64] = [4,2,3,3,2,1,2,1,0,0,0,0,3,10,11,3,13,6,18,7,4];
  254. 	paths[65] = [4,2,3,3,2,1,2,0,0,0,0,0,3,10,11,3,13,6,19,5,5];
  255. 	paths[66] = [4,2,3,3,2,1,3,1,0,0,0,0,3,10,11,3,13,6,19,7,3];
  256. 	paths[67] = [4,2,3,3,2,1,3,0,0,0,0,0,3,10,11,3,13,6,20,5,4];
  257. 	paths[68] = [4,2,3,3,1,1,2,0,0,0,0,0,3,10,11,3,13,6,22,3,6];
  258. 	paths[69] = [4,2,3,3,1,1,3,0,0,0,0,0,3,10,11,3,13,6,23,3,5];
  259. 	paths[70] = [2,2,1,0,3,2,2,1,0,0,0,0,3,10,11,4,9,8,5,17,9];
  260. 	paths[71] = [2,2,1,1,3,2,2,1,0,0,0,0,3,10,11,4,9,8,5,18,7];
  261. 	paths[72] = [2,2,1,0,2,2,2,1,0,0,0,0,3,10,11,4,9,8,6,15,8];
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  271. 	paths[82] = [2,2,1,2,2,2,2,0,0,0,0,0,3,10,11,4,9,8,10,11,8];
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  283. 	paths[94] = [4,2,3,1,2,2,3,0,0,0,0,0,3,10,11,4,9,8,14,10,4];
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  295. 	paths[106] = [2,2,1,1,3,3,2,1,0,0,0,0,3,10,11,5,7,10,5,18,7];
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  297. 	paths[108] = [2,2,1,1,2,3,2,1,0,0,0,0,3,10,11,5,7,10,6,16,6];
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  397. 	paths[208] = [4,1,3,3,1,1,2,0,0,0,0,0,3,10,11,8,12,7,22,3,6];
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  403. 	paths[214] = [2,2,4,0,2,1,2,0,0,0,0,0,3,10,11,8,14,5,7,13,9];
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  406. 	paths[217] = [2,2,4,0,2,1,3,0,0,0,0,0,3,10,11,8,14,5,8,13,8];
  407. 	paths[218] = [2,2,4,1,2,1,3,0,0,0,0,0,3,10,11,8,14,5,8,14,6];
  408. 	paths[219] = [2,2,4,2,2,1,2,1,0,0,0,0,3,10,11,8,14,5,9,13,7];
  409. 	paths[220] = [2,2,5,1,2,1,2,1,0,0,0,0,3,10,11,8,14,5,9,14,5];
  410. 	paths[221] = [2,2,4,2,2,1,2,0,0,0,0,0,3,10,11,8,14,5,10,11,8];
  411. 	paths[222] = [2,2,5,1,2,1,2,0,0,0,0,0,3,10,11,8,14,5,10,12,6];
  412. 	paths[223] = [2,2,5,1,2,1,3,1,0,0,0,0,3,10,11,8,14,5,10,14,4];
  413. 	paths[224] = [2,2,4,2,2,1,3,0,0,0,0,0,3,10,11,8,14,5,11,11,7];
  414. 	paths[225] = [2,2,5,1,2,1,3,0,0,0,0,0,3,10,11,8,14,5,11,12,5];
  415. 	paths[226] = [2,2,4,3,2,1,2,1,0,0,0,0,3,10,11,8,14,5,12,11,6];
  416. 	paths[227] = [4,2,5,1,2,1,2,1,0,0,0,0,3,10,11,8,14,5,12,12,4];
  417. 	paths[228] = [2,2,4,3,2,1,2,0,0,0,0,0,3,10,11,8,14,5,13,9,7];
  418. 	paths[229] = [4,2,5,1,2,1,2,0,0,0,0,0,3,10,11,8,14,5,13,10,5];
  419. 	paths[230] = [4,2,5,1,2,1,3,1,0,0,0,0,3,10,11,8,14,5,13,12,3];
  420. 	paths[231] = [2,2,4,3,2,1,3,0,0,0,0,0,3,10,11,8,14,5,14,9,6];
  421. 	paths[232] = [4,2,5,1,2,1,3,0,0,0,0,0,3,10,11,8,14,5,14,10,4];
  422. 	paths[233] = [2,2,5,3,2,1,2,1,0,0,0,0,3,10,11,8,14,5,15,9,5];
  423. 	paths[234] = [2,2,5,3,2,1,2,0,0,0,0,0,3,10,11,8,14,5,16,7,6];
  424. 	paths[235] = [2,2,5,3,2,1,3,1,0,0,0,0,3,10,11,8,14,5,16,9,4];
  425. 	paths[236] = [2,2,5,3,2,1,3,0,0,0,0,0,3,10,11,8,14,5,17,7,5];
  426. 	paths[237] = [4,2,5,3,2,1,2,1,0,0,0,0,3,10,11,8,14,5,18,7,4];
  427. 	paths[238] = [4,2,5,3,2,1,2,0,0,0,0,0,3,10,11,8,14,5,19,5,5];
  428. 	paths[239] = [4,2,5,3,2,1,3,1,0,0,0,0,3,10,11,8,14,5,19,7,3];
  429. 	paths[240] = [4,2,5,3,2,1,3,0,0,0,0,0,3,10,11,8,14,5,20,5,4];
  430. 	paths[241] = [4,2,5,3,1,1,2,0,0,0,0,0,3,10,11,8,14,5,22,3,6];
  431. 	paths[242] = [4,2,5,3,1,1,3,0,0,0,0,0,3,10,11,8,14,5,23,3,5];
  432. 	paths[243] = [2,2,4,0,3,2,2,1,0,0,0,0,3,10,11,9,10,7,5,17,9];
  433. 	paths[244] = [2,2,4,1,3,2,2,1,0,0,0,0,3,10,11,9,10,7,5,18,7];
  434. 	paths[245] = [2,2,4,0,2,2,2,1,0,0,0,0,3,10,11,9,10,7,6,15,8];
  435. 	paths[246] = [2,2,4,1,2,2,2,1,0,0,0,0,3,10,11,9,10,7,6,16,6];
  436. 	paths[247] = [2,2,4,0,2,2,2,0,0,0,0,0,3,10,11,9,10,7,7,13,9];
  437. 	paths[248] = [2,2,4,1,2,2,2,0,0,0,0,0,3,10,11,9,10,7,7,14,7];
  438. 	paths[249] = [2,2,4,1,2,2,3,1,0,0,0,0,3,10,11,9,10,7,7,16,5];
  439. 	paths[250] = [2,2,4,0,2,2,3,0,0,0,0,0,3,10,11,9,10,7,8,13,8];
  440. 	paths[251] = [2,2,4,1,2,2,3,0,0,0,0,0,3,10,11,9,10,7,8,14,6];
  441. 	paths[252] = [2,2,4,2,2,2,2,1,0,0,0,0,3,10,11,9,10,7,9,13,7];
  442. 	paths[253] = [2,2,5,1,2,2,2,1,0,0,0,0,3,10,11,9,10,7,9,14,5];
  443. 	paths[254] = [2,2,4,2,2,2,2,0,0,0,0,0,3,10,11,9,10,7,10,11,8];
  444. 	paths[255] = [2,2,5,1,2,2,2,0,0,0,0,0,3,10,11,9,10,7,10,12,6];
  445. 	paths[256] = [2,2,5,1,2,2,3,1,0,0,0,0,3,10,11,9,10,7,10,14,4];
  446. 	paths[257] = [2,2,4,2,2,2,3,0,0,0,0,0,3,10,11,9,10,7,11,11,7];
  447. 	paths[258] = [2,2,5,1,2,2,3,0,0,0,0,0,3,10,11,9,10,7,11,12,5];
  448. 	paths[259] = [2,2,4,3,2,2,2,1,0,0,0,0,3,10,11,9,10,7,12,11,6];
  449. 	paths[260] = [4,2,5,1,2,2,2,1,0,0,0,0,3,10,11,9,10,7,12,12,4];
  450. 	paths[261] = [2,2,4,3,2,2,2,0,0,0,0,0,3,10,11,9,10,7,13,9,7];
  451. 	paths[262] = [4,2,5,1,2,2,2,0,0,0,0,0,3,10,11,9,10,7,13,10,5];
  452. 	paths[263] = [4,2,5,1,2,2,3,1,0,0,0,0,3,10,11,9,10,7,13,12,3];
  453. 	paths[264] = [2,2,4,3,2,2,3,0,0,0,0,0,3,10,11,9,10,7,14,9,6];
  454. 	paths[265] = [4,2,5,1,2,2,3,0,0,0,0,0,3,10,11,9,10,7,14,10,4];
  455. 	paths[266] = [2,2,5,3,2,2,2,1,0,0,0,0,3,10,11,9,10,7,15,9,5];
  456. 	paths[267] = [2,2,5,3,2,2,2,0,0,0,0,0,3,10,11,9,10,7,16,7,6];
  457. 	paths[268] = [2,2,5,3,2,2,3,1,0,0,0,0,3,10,11,9,10,7,16,9,4];
  458. 	paths[269] = [2,2,5,3,2,2,3,0,0,0,0,0,3,10,11,9,10,7,17,7,5];
  459. 	paths[270] = [4,2,5,3,2,2,2,1,0,0,0,0,3,10,11,9,10,7,18,7,4];
  460. 	paths[271] = [4,2,5,3,2,2,2,0,0,0,0,0,3,10,11,9,10,7,19,5,5];
  461. 	paths[272] = [4,2,5,3,2,2,3,1,0,0,0,0,3,10,11,9,10,7,19,7,3];
  462. 	paths[273] = [4,2,5,3,2,2,3,0,0,0,0,0,3,10,11,9,10,7,20,5,4];
  463. 	paths[274] = [4,2,5,3,1,2,2,0,0,0,0,0,3,10,11,9,10,7,22,3,6];
  464. 	paths[275] = [4,2,5,3,1,2,3,0,0,0,0,0,3,10,11,9,10,7,23,3,5];
  465. 	paths[276] = [2,1,1,0,3,3,2,1,0,0,0,0,3,10,11,10,6,11,5,17,9];
  466. 	paths[277] = [2,1,1,1,3,3,2,1,0,0,0,0,3,10,11,10,6,11,5,18,7];
  467. 	paths[278] = [2,1,1,0,2,3,2,1,0,0,0,0,3,10,11,10,6,11,6,15,8];
  468. 	paths[279] = [2,1,1,1,2,3,2,1,0,0,0,0,3,10,11,10,6,11,6,16,6];
  469. 	paths[280] = [2,1,1,0,2,3,2,0,0,0,0,0,3,10,11,10,6,11,7,13,9];
  470. 	paths[281] = [2,1,1,1,2,3,2,0,0,0,0,0,3,10,11,10,6,11,7,14,7];
  471. 	paths[282] = [2,1,1,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,7,16,5];
  472. 	paths[283] = [2,1,1,0,2,3,3,0,0,0,0,0,3,10,11,10,6,11,8,13,8];
  473. 	paths[284] = [2,1,1,1,2,3,3,0,0,0,0,0,3,10,11,10,6,11,8,14,6];
  474. 	paths[285] = [2,1,0,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,8,19,4];
  475. 	paths[286] = [2,1,1,2,2,3,2,1,0,0,0,0,3,10,11,10,6,11,9,13,7];
  476. 	paths[287] = [2,1,3,1,2,3,2,1,0,0,0,0,3,10,11,10,6,11,9,14,5];
  477. 	paths[288] = [2,1,1,2,2,3,2,0,0,0,0,0,3,10,11,10,6,11,10,11,8];
  478. 	paths[289] = [2,1,3,1,2,3,2,0,0,0,0,0,3,10,11,10,6,11,10,12,6];
  479. 	paths[290] = [2,1,3,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,10,14,4];
  480. 	paths[291] = [2,1,1,2,2,3,3,0,0,0,0,0,3,10,11,10,6,11,11,11,7];
  481. 	paths[292] = [2,1,3,1,2,3,3,0,0,0,0,0,3,10,11,10,6,11,11,12,5];
  482. 	paths[293] = [4,1,0,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,11,17,3];
  483. 	paths[294] = [2,1,1,3,2,3,2,1,0,0,0,0,3,10,11,10,6,11,12,11,6];
  484. 	paths[295] = [4,1,3,1,2,3,2,1,0,0,0,0,3,10,11,10,6,11,12,12,4];
  485. 	paths[296] = [2,1,1,3,2,3,2,0,0,0,0,0,3,10,11,10,6,11,13,9,7];
  486. 	paths[297] = [4,1,3,1,2,3,2,0,0,0,0,0,3,10,11,10,6,11,13,10,5];
  487. 	paths[298] = [4,1,3,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,13,12,3];
  488. 	paths[299] = [2,1,1,3,2,3,3,0,0,0,0,0,3,10,11,10,6,11,14,9,6];
  489. 	paths[300] = [4,1,3,1,2,3,3,0,0,0,0,0,3,10,11,10,6,11,14,10,4];
  490. 	paths[301] = [2,1,3,3,2,3,2,1,0,0,0,0,3,10,11,10,6,11,15,9,5];
  491. 	paths[302] = [2,1,3,3,2,3,2,0,0,0,0,0,3,10,11,10,6,11,16,7,6];
  492. 	paths[303] = [2,1,3,3,2,3,3,1,0,0,0,0,3,10,11,10,6,11,16,9,4];
  493. 	paths[304] = [2,1,3,3,2,3,3,0,0,0,0,0,3,10,11,10,6,11,17,7,5];
  494. 	paths[305] = [4,1,3,3,2,3,2,1,0,0,0,0,3,10,11,10,6,11,18,7,4];
  495. 	paths[306] = [4,1,3,3,2,3,2,0,0,0,0,0,3,10,11,10,6,11,19,5,5];
  496. 	paths[307] = [4,1,3,3,2,3,3,1,0,0,0,0,3,10,11,10,6,11,19,7,3];
  497. 	paths[308] = [4,1,3,3,2,3,3,0,0,0,0,0,3,10,11,10,6,11,20,5,4];
  498. 	paths[309] = [4,1,3,3,1,3,2,0,0,0,0,0,3,10,11,10,6,11,22,3,6];
  499. 	paths[310] = [4,1,3,3,1,3,3,0,0,0,0,0,3,10,11,10,6,11,23,3,5];
  500. 	paths[311] = [0,2,1,0,0,1,2,1,0,0,0,0,4,9,12,2,17,8,6,15,8];
  501. 	paths[312] = [0,2,1,1,0,1,2,1,0,0,0,0,4,9,12,2,17,8,6,16,6];
  502. 	paths[313] = [0,2,1,0,0,1,2,0,0,0,0,0,4,9,12,2,17,8,7,13,9];
  503. 	paths[314] = [0,2,1,1,0,1,2,0,0,0,0,0,4,9,12,2,17,8,7,14,7];
  504. 	paths[315] = [0,2,1,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,7,16,5];
  505. 	paths[316] = [0,2,1,0,0,1,3,0,0,0,0,0,4,9,12,2,17,8,8,13,8];
  506. 	paths[317] = [0,2,1,1,0,1,3,0,0,0,0,0,4,9,12,2,17,8,8,14,6];
  507. 	paths[318] = [0,2,0,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,8,19,4];
  508. 	paths[319] = [0,2,1,2,0,1,2,1,0,0,0,0,4,9,12,2,17,8,9,13,7];
  509. 	paths[320] = [0,2,3,1,0,1,2,1,0,0,0,0,4,9,12,2,17,8,9,14,5];
  510. 	paths[321] = [0,2,1,2,0,1,2,0,0,0,0,0,4,9,12,2,17,8,10,11,8];
  511. 	paths[322] = [0,2,3,1,0,1,2,0,0,0,0,0,4,9,12,2,17,8,10,12,6];
  512. 	paths[323] = [0,2,3,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,10,14,4];
  513. 	paths[324] = [0,2,1,2,0,1,3,0,0,0,0,0,4,9,12,2,17,8,11,11,7];
  514. 	paths[325] = [0,2,3,1,0,1,3,0,0,0,0,0,4,9,12,2,17,8,11,12,5];
  515. 	paths[326] = [1,2,0,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,11,17,3];
  516. 	paths[327] = [0,2,1,3,0,1,2,1,0,0,0,0,4,9,12,2,17,8,12,11,6];
  517. 	paths[328] = [1,2,3,1,0,1,2,1,0,0,0,0,4,9,12,2,17,8,12,12,4];
  518. 	paths[329] = [0,2,1,3,0,1,2,0,0,0,0,0,4,9,12,2,17,8,13,9,7];
  519. 	paths[330] = [1,2,3,1,0,1,2,0,0,0,0,0,4,9,12,2,17,8,13,10,5];
  520. 	paths[331] = [1,2,3,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,13,12,3];
  521. 	paths[332] = [0,2,1,3,0,1,3,0,0,0,0,0,4,9,12,2,17,8,14,9,6];
  522. 	paths[333] = [1,2,3,1,0,1,3,0,0,0,0,0,4,9,12,2,17,8,14,10,4];
  523. 	paths[334] = [0,2,3,3,0,1,2,1,0,0,0,0,4,9,12,2,17,8,15,9,5];
  524. 	paths[335] = [0,2,3,3,0,1,2,0,0,0,0,0,4,9,12,2,17,8,16,7,6];
  525. 	paths[336] = [0,2,3,3,0,1,3,1,0,0,0,0,4,9,12,2,17,8,16,9,4];
  526. 	paths[337] = [0,2,3,3,0,1,3,0,0,0,0,0,4,9,12,2,17,8,17,7,5];
  527. 	paths[338] = [1,2,3,3,0,1,2,1,0,0,0,0,4,9,12,2,17,8,18,7,4];
  528. 	paths[339] = [1,2,3,3,0,1,2,0,0,0,0,0,4,9,12,2,17,8,19,5,5];
  529. 	paths[340] = [1,2,3,3,0,1,3,1,0,0,0,0,4,9,12,2,17,8,19,7,3];
  530. 	paths[341] = [1,2,3,3,0,1,3,0,0,0,0,0,4,9,12,2,17,8,20,5,4];
  531. 	paths[342] = [2,2,1,0,0,1,2,1,0,0,0,0,4,9,12,3,13,6,6,15,8];
  532. 	paths[343] = [2,2,1,1,0,1,2,1,0,0,0,0,4,9,12,3,13,6,6,16,6];
  533. 	paths[344] = [2,2,1,0,0,1,2,0,0,0,0,0,4,9,12,3,13,6,7,13,9];
  534. 	paths[345] = [2,2,1,1,0,1,2,0,0,0,0,0,4,9,12,3,13,6,7,14,7];
  535. 	paths[346] = [2,2,1,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,7,16,5];
  536. 	paths[347] = [2,2,1,0,0,1,3,0,0,0,0,0,4,9,12,3,13,6,8,13,8];
  537. 	paths[348] = [2,2,1,1,0,1,3,0,0,0,0,0,4,9,12,3,13,6,8,14,6];
  538. 	paths[349] = [2,2,0,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,8,19,4];
  539. 	paths[350] = [2,2,1,2,0,1,2,1,0,0,0,0,4,9,12,3,13,6,9,13,7];
  540. 	paths[351] = [2,2,3,1,0,1,2,1,0,0,0,0,4,9,12,3,13,6,9,14,5];
  541. 	paths[352] = [2,2,1,2,0,1,2,0,0,0,0,0,4,9,12,3,13,6,10,11,8];
  542. 	paths[353] = [2,2,3,1,0,1,2,0,0,0,0,0,4,9,12,3,13,6,10,12,6];
  543. 	paths[354] = [2,2,3,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,10,14,4];
  544. 	paths[355] = [2,2,1,2,0,1,3,0,0,0,0,0,4,9,12,3,13,6,11,11,7];
  545. 	paths[356] = [2,2,3,1,0,1,3,0,0,0,0,0,4,9,12,3,13,6,11,12,5];
  546. 	paths[357] = [4,2,0,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,11,17,3];
  547. 	paths[358] = [2,2,1,3,0,1,2,1,0,0,0,0,4,9,12,3,13,6,12,11,6];
  548. 	paths[359] = [4,2,3,1,0,1,2,1,0,0,0,0,4,9,12,3,13,6,12,12,4];
  549. 	paths[360] = [2,2,1,3,0,1,2,0,0,0,0,0,4,9,12,3,13,6,13,9,7];
  550. 	paths[361] = [4,2,3,1,0,1,2,0,0,0,0,0,4,9,12,3,13,6,13,10,5];
  551. 	paths[362] = [4,2,3,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,13,12,3];
  552. 	paths[363] = [2,2,1,3,0,1,3,0,0,0,0,0,4,9,12,3,13,6,14,9,6];
  553. 	paths[364] = [4,2,3,1,0,1,3,0,0,0,0,0,4,9,12,3,13,6,14,10,4];
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  698. 	paths[509] = [2,2,4,2,0,1,3,0,0,0,0,0,4,9,12,8,14,5,11,11,7];
  699. 	paths[510] = [2,2,5,1,0,1,3,0,0,0,0,0,4,9,12,8,14,5,11,12,5];
  700. 	paths[511] = [2,2,4,3,0,1,2,1,0,0,0,0,4,9,12,8,14,5,12,11,6];
  701. 	paths[512] = [4,2,5,1,0,1,2,1,0,0,0,0,4,9,12,8,14,5,12,12,4];
  702. 	paths[513] = [2,2,4,3,0,1,2,0,0,0,0,0,4,9,12,8,14,5,13,9,7];
  703. 	paths[514] = [4,2,5,1,0,1,2,0,0,0,0,0,4,9,12,8,14,5,13,10,5];
  704. 	paths[515] = [4,2,5,1,0,1,3,1,0,0,0,0,4,9,12,8,14,5,13,12,3];
  705. 	paths[516] = [2,2,4,3,0,1,3,0,0,0,0,0,4,9,12,8,14,5,14,9,6];
  706. 	paths[517] = [4,2,5,1,0,1,3,0,0,0,0,0,4,9,12,8,14,5,14,10,4];
  707. 	paths[518] = [2,2,5,3,0,1,2,1,0,0,0,0,4,9,12,8,14,5,15,9,5];
  708. 	paths[519] = [2,2,5,3,0,1,2,0,0,0,0,0,4,9,12,8,14,5,16,7,6];
  709. 	paths[520] = [2,2,5,3,0,1,3,1,0,0,0,0,4,9,12,8,14,5,16,9,4];
  710. 	paths[521] = [2,2,5,3,0,1,3,0,0,0,0,0,4,9,12,8,14,5,17,7,5];
  711. 	paths[522] = [4,2,5,3,0,1,2,1,0,0,0,0,4,9,12,8,14,5,18,7,4];
  712. 	paths[523] = [4,2,5,3,0,1,2,0,0,0,0,0,4,9,12,8,14,5,19,5,5];
  713. 	paths[524] = [4,2,5,3,0,1,3,1,0,0,0,0,4,9,12,8,14,5,19,7,3];
  714. 	paths[525] = [4,2,5,3,0,1,3,0,0,0,0,0,4,9,12,8,14,5,20,5,4];
  715. 	paths[526] = [2,2,4,0,0,2,2,1,0,0,0,0,4,9,12,9,10,7,6,15,8];
  716. 	paths[527] = [2,2,4,1,0,2,2,1,0,0,0,0,4,9,12,9,10,7,6,16,6];
  717. 	paths[528] = [2,2,4,0,0,2,2,0,0,0,0,0,4,9,12,9,10,7,7,13,9];
  718. 	paths[529] = [2,2,4,1,0,2,2,0,0,0,0,0,4,9,12,9,10,7,7,14,7];
  719. 	paths[530] = [2,2,4,1,0,2,3,1,0,0,0,0,4,9,12,9,10,7,7,16,5];
  720. 	paths[531] = [2,2,4,0,0,2,3,0,0,0,0,0,4,9,12,9,10,7,8,13,8];
  721. 	paths[532] = [2,2,4,1,0,2,3,0,0,0,0,0,4,9,12,9,10,7,8,14,6];
  722. 	paths[533] = [2,2,4,2,0,2,2,1,0,0,0,0,4,9,12,9,10,7,9,13,7];
  723. 	paths[534] = [2,2,5,1,0,2,2,1,0,0,0,0,4,9,12,9,10,7,9,14,5];
  724. 	paths[535] = [2,2,4,2,0,2,2,0,0,0,0,0,4,9,12,9,10,7,10,11,8];
  725. 	paths[536] = [2,2,5,1,0,2,2,0,0,0,0,0,4,9,12,9,10,7,10,12,6];
  726. 	paths[537] = [2,2,5,1,0,2,3,1,0,0,0,0,4,9,12,9,10,7,10,14,4];
  727. 	paths[538] = [2,2,4,2,0,2,3,0,0,0,0,0,4,9,12,9,10,7,11,11,7];
  728. 	paths[539] = [2,2,5,1,0,2,3,0,0,0,0,0,4,9,12,9,10,7,11,12,5];
  729. 	paths[540] = [2,2,4,3,0,2,2,1,0,0,0,0,4,9,12,9,10,7,12,11,6];
  730. 	paths[541] = [4,2,5,1,0,2,2,1,0,0,0,0,4,9,12,9,10,7,12,12,4];
  731. 	paths[542] = [2,2,4,3,0,2,2,0,0,0,0,0,4,9,12,9,10,7,13,9,7];
  732. 	paths[543] = [4,2,5,1,0,2,2,0,0,0,0,0,4,9,12,9,10,7,13,10,5];
  733. 	paths[544] = [4,2,5,1,0,2,3,1,0,0,0,0,4,9,12,9,10,7,13,12,3];
  734. 	paths[545] = [2,2,4,3,0,2,3,0,0,0,0,0,4,9,12,9,10,7,14,9,6];
  735. 	paths[546] = [4,2,5,1,0,2,3,0,0,0,0,0,4,9,12,9,10,7,14,10,4];
  736. 	paths[547] = [2,2,5,3,0,2,2,1,0,0,0,0,4,9,12,9,10,7,15,9,5];
  737. 	paths[548] = [2,2,5,3,0,2,2,0,0,0,0,0,4,9,12,9,10,7,16,7,6];
  738. 	paths[549] = [2,2,5,3,0,2,3,1,0,0,0,0,4,9,12,9,10,7,16,9,4];
  739. 	paths[550] = [2,2,5,3,0,2,3,0,0,0,0,0,4,9,12,9,10,7,17,7,5];
  740. 	paths[551] = [4,2,5,3,0,2,2,1,0,0,0,0,4,9,12,9,10,7,18,7,4];
  741. 	paths[552] = [4,2,5,3,0,2,2,0,0,0,0,0,4,9,12,9,10,7,19,5,5];
  742. 	paths[553] = [4,2,5,3,0,2,3,1,0,0,0,0,4,9,12,9,10,7,19,7,3];
  743. 	paths[554] = [4,2,5,3,0,2,3,0,0,0,0,0,4,9,12,9,10,7,20,5,4];
  744. 	paths[555] = [2,1,1,0,0,3,2,1,0,0,0,0,4,9,12,10,6,11,6,15,8];
  745. 	paths[556] = [2,1,1,1,0,3,2,1,0,0,0,0,4,9,12,10,6,11,6,16,6];
  746. 	paths[557] = [2,1,1,0,0,3,2,0,0,0,0,0,4,9,12,10,6,11,7,13,9];
  747. 	paths[558] = [2,1,1,1,0,3,2,0,0,0,0,0,4,9,12,10,6,11,7,14,7];
  748. 	paths[559] = [2,1,1,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,7,16,5];
  749. 	paths[560] = [2,1,1,0,0,3,3,0,0,0,0,0,4,9,12,10,6,11,8,13,8];
  750. 	paths[561] = [2,1,1,1,0,3,3,0,0,0,0,0,4,9,12,10,6,11,8,14,6];
  751. 	paths[562] = [2,1,0,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,8,19,4];
  752. 	paths[563] = [2,1,1,2,0,3,2,1,0,0,0,0,4,9,12,10,6,11,9,13,7];
  753. 	paths[564] = [2,1,3,1,0,3,2,1,0,0,0,0,4,9,12,10,6,11,9,14,5];
  754. 	paths[565] = [2,1,1,2,0,3,2,0,0,0,0,0,4,9,12,10,6,11,10,11,8];
  755. 	paths[566] = [2,1,3,1,0,3,2,0,0,0,0,0,4,9,12,10,6,11,10,12,6];
  756. 	paths[567] = [2,1,3,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,10,14,4];
  757. 	paths[568] = [2,1,1,2,0,3,3,0,0,0,0,0,4,9,12,10,6,11,11,11,7];
  758. 	paths[569] = [2,1,3,1,0,3,3,0,0,0,0,0,4,9,12,10,6,11,11,12,5];
  759. 	paths[570] = [4,1,0,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,11,17,3];
  760. 	paths[571] = [2,1,1,3,0,3,2,1,0,0,0,0,4,9,12,10,6,11,12,11,6];
  761. 	paths[572] = [4,1,3,1,0,3,2,1,0,0,0,0,4,9,12,10,6,11,12,12,4];
  762. 	paths[573] = [2,1,1,3,0,3,2,0,0,0,0,0,4,9,12,10,6,11,13,9,7];
  763. 	paths[574] = [4,1,3,1,0,3,2,0,0,0,0,0,4,9,12,10,6,11,13,10,5];
  764. 	paths[575] = [4,1,3,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,13,12,3];
  765. 	paths[576] = [2,1,1,3,0,3,3,0,0,0,0,0,4,9,12,10,6,11,14,9,6];
  766. 	paths[577] = [4,1,3,1,0,3,3,0,0,0,0,0,4,9,12,10,6,11,14,10,4];
  767. 	paths[578] = [2,1,3,3,0,3,2,1,0,0,0,0,4,9,12,10,6,11,15,9,5];
  768. 	paths[579] = [2,1,3,3,0,3,2,0,0,0,0,0,4,9,12,10,6,11,16,7,6];
  769. 	paths[580] = [2,1,3,3,0,3,3,1,0,0,0,0,4,9,12,10,6,11,16,9,4];
  770. 	paths[581] = [2,1,3,3,0,3,3,0,0,0,0,0,4,9,12,10,6,11,17,7,5];
  771. 	paths[582] = [4,1,3,3,0,3,2,1,0,0,0,0,4,9,12,10,6,11,18,7,4];
  772. 	paths[583] = [4,1,3,3,0,3,2,0,0,0,0,0,4,9,12,10,6,11,19,5,5];
  773. 	paths[584] = [4,1,3,3,0,3,3,1,0,0,0,0,4,9,12,10,6,11,19,7,3];
  774. 	paths[585] = [4,1,3,3,0,3,3,0,0,0,0,0,4,9,12,10,6,11,20,5,4];
  775. 	paths[586] = [0,2,1,0,3,1,2,1,1,0,0,0,5,7,13,2,17,8,5,17,9];
  776. 	paths[587] = [0,2,1,1,3,1,2,1,1,0,0,0,5,7,13,2,17,8,5,18,7];
  777. 	paths[588] = [0,2,1,0,2,1,2,1,1,0,0,0,5,7,13,2,17,8,6,15,8];
  778. 	paths[589] = [0,2,1,1,2,1,2,1,1,0,0,0,5,7,13,2,17,8,6,16,6];
  779. 	paths[590] = [0,2,1,0,2,1,2,0,1,0,0,0,5,7,13,2,17,8,7,13,9];
  780. 	paths[591] = [0,2,1,1,2,1,2,0,1,0,0,0,5,7,13,2,17,8,7,14,7];
  781. 	paths[592] = [0,2,1,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,7,16,5];
  782. 	paths[593] = [0,2,1,0,2,1,3,0,1,0,0,0,5,7,13,2,17,8,8,13,8];
  783. 	paths[594] = [0,2,1,1,2,1,3,0,1,0,0,0,5,7,13,2,17,8,8,14,6];
  784. 	paths[595] = [0,2,0,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,8,19,4];
  785. 	paths[596] = [0,2,1,2,2,1,2,1,1,0,0,0,5,7,13,2,17,8,9,13,7];
  786. 	paths[597] = [0,2,3,1,2,1,2,1,1,0,0,0,5,7,13,2,17,8,9,14,5];
  787. 	paths[598] = [0,2,1,2,2,1,2,0,1,0,0,0,5,7,13,2,17,8,10,11,8];
  788. 	paths[599] = [0,2,3,1,2,1,2,0,1,0,0,0,5,7,13,2,17,8,10,12,6];
  789. 	paths[600] = [0,2,3,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,10,14,4];
  790. 	paths[601] = [0,2,1,2,2,1,3,0,1,0,0,0,5,7,13,2,17,8,11,11,7];
  791. 	paths[602] = [0,2,3,1,2,1,3,0,1,0,0,0,5,7,13,2,17,8,11,12,5];
  792. 	paths[603] = [1,2,0,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,11,17,3];
  793. 	paths[604] = [0,2,1,3,2,1,2,1,1,0,0,0,5,7,13,2,17,8,12,11,6];
  794. 	paths[605] = [1,2,3,1,2,1,2,1,1,0,0,0,5,7,13,2,17,8,12,12,4];
  795. 	paths[606] = [0,2,1,3,2,1,2,0,1,0,0,0,5,7,13,2,17,8,13,9,7];
  796. 	paths[607] = [1,2,3,1,2,1,2,0,1,0,0,0,5,7,13,2,17,8,13,10,5];
  797. 	paths[608] = [1,2,3,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,13,12,3];
  798. 	paths[609] = [0,2,1,3,2,1,3,0,1,0,0,0,5,7,13,2,17,8,14,9,6];
  799. 	paths[610] = [1,2,3,1,2,1,3,0,1,0,0,0,5,7,13,2,17,8,14,10,4];
  800. 	paths[611] = [0,2,3,3,2,1,2,1,1,0,0,0,5,7,13,2,17,8,15,9,5];
  801. 	paths[612] = [0,2,3,3,2,1,2,0,1,0,0,0,5,7,13,2,17,8,16,7,6];
  802. 	paths[613] = [0,2,3,3,2,1,3,1,1,0,0,0,5,7,13,2,17,8,16,9,4];
  803. 	paths[614] = [0,2,3,3,2,1,3,0,1,0,0,0,5,7,13,2,17,8,17,7,5];
  804. 	paths[615] = [1,2,3,3,2,1,2,1,1,0,0,0,5,7,13,2,17,8,18,7,4];
  805. 	paths[616] = [1,2,3,3,2,1,2,0,1,0,0,0,5,7,13,2,17,8,19,5,5];
  806. 	paths[617] = [1,2,3,3,2,1,3,1,1,0,0,0,5,7,13,2,17,8,19,7,3];
  807. 	paths[618] = [1,2,3,3,2,1,3,0,1,0,0,0,5,7,13,2,17,8,20,5,4];
  808. 	paths[619] = [1,2,3,3,1,1,2,0,1,0,0,0,5,7,13,2,17,8,22,3,6];
  809. 	paths[620] = [1,2,3,3,1,1,3,0,1,0,0,0,5,7,13,2,17,8,23,3,5];
  810. 	paths[621] = [2,2,1,0,3,1,2,1,1,0,0,0,5,7,13,3,13,6,5,17,9];
  811. 	paths[622] = [2,2,1,1,3,1,2,1,1,0,0,0,5,7,13,3,13,6,5,18,7];
  812. 	paths[623] = [2,2,1,0,2,1,2,1,1,0,0,0,5,7,13,3,13,6,6,15,8];
  813. 	paths[624] = [2,2,1,1,2,1,2,1,1,0,0,0,5,7,13,3,13,6,6,16,6];
  814. 	paths[625] = [2,2,1,0,2,1,2,0,1,0,0,0,5,7,13,3,13,6,7,13,9];
  815. 	paths[626] = [2,2,1,1,2,1,2,0,1,0,0,0,5,7,13,3,13,6,7,14,7];
  816. 	paths[627] = [2,2,1,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,7,16,5];
  817. 	paths[628] = [2,2,1,0,2,1,3,0,1,0,0,0,5,7,13,3,13,6,8,13,8];
  818. 	paths[629] = [2,2,1,1,2,1,3,0,1,0,0,0,5,7,13,3,13,6,8,14,6];
  819. 	paths[630] = [2,2,0,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,8,19,4];
  820. 	paths[631] = [2,2,1,2,2,1,2,1,1,0,0,0,5,7,13,3,13,6,9,13,7];
  821. 	paths[632] = [2,2,3,1,2,1,2,1,1,0,0,0,5,7,13,3,13,6,9,14,5];
  822. 	paths[633] = [2,2,1,2,2,1,2,0,1,0,0,0,5,7,13,3,13,6,10,11,8];
  823. 	paths[634] = [2,2,3,1,2,1,2,0,1,0,0,0,5,7,13,3,13,6,10,12,6];
  824. 	paths[635] = [2,2,3,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,10,14,4];
  825. 	paths[636] = [2,2,1,2,2,1,3,0,1,0,0,0,5,7,13,3,13,6,11,11,7];
  826. 	paths[637] = [2,2,3,1,2,1,3,0,1,0,0,0,5,7,13,3,13,6,11,12,5];
  827. 	paths[638] = [4,2,0,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,11,17,3];
  828. 	paths[639] = [2,2,1,3,2,1,2,1,1,0,0,0,5,7,13,3,13,6,12,11,6];
  829. 	paths[640] = [4,2,3,1,2,1,2,1,1,0,0,0,5,7,13,3,13,6,12,12,4];
  830. 	paths[641] = [2,2,1,3,2,1,2,0,1,0,0,0,5,7,13,3,13,6,13,9,7];
  831. 	paths[642] = [4,2,3,1,2,1,2,0,1,0,0,0,5,7,13,3,13,6,13,10,5];
  832. 	paths[643] = [4,2,3,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,13,12,3];
  833. 	paths[644] = [2,2,1,3,2,1,3,0,1,0,0,0,5,7,13,3,13,6,14,9,6];
  834. 	paths[645] = [4,2,3,1,2,1,3,0,1,0,0,0,5,7,13,3,13,6,14,10,4];
  835. 	paths[646] = [2,2,3,3,2,1,2,1,1,0,0,0,5,7,13,3,13,6,15,9,5];
  836. 	paths[647] = [2,2,3,3,2,1,2,0,1,0,0,0,5,7,13,3,13,6,16,7,6];
  837. 	paths[648] = [2,2,3,3,2,1,3,1,1,0,0,0,5,7,13,3,13,6,16,9,4];
  838. 	paths[649] = [2,2,3,3,2,1,3,0,1,0,0,0,5,7,13,3,13,6,17,7,5];
  839. 	paths[650] = [4,2,3,3,2,1,2,1,1,0,0,0,5,7,13,3,13,6,18,7,4];
  840. 	paths[651] = [4,2,3,3,2,1,2,0,1,0,0,0,5,7,13,3,13,6,19,5,5];
  841. 	paths[652] = [4,2,3,3,2,1,3,1,1,0,0,0,5,7,13,3,13,6,19,7,3];
  842. 	paths[653] = [4,2,3,3,2,1,3,0,1,0,0,0,5,7,13,3,13,6,20,5,4];
  843. 	paths[654] = [4,2,3,3,1,1,2,0,1,0,0,0,5,7,13,3,13,6,22,3,6];
  844. 	paths[655] = [4,2,3,3,1,1,3,0,1,0,0,0,5,7,13,3,13,6,23,3,5];
  845. 	paths[656] = [2,2,1,0,3,2,2,1,1,0,0,0,5,7,13,4,9,8,5,17,9];
  846. 	paths[657] = [2,2,1,1,3,2,2,1,1,0,0,0,5,7,13,4,9,8,5,18,7];
  847. 	paths[658] = [2,2,1,0,2,2,2,1,1,0,0,0,5,7,13,4,9,8,6,15,8];
  848. 	paths[659] = [2,2,1,1,2,2,2,1,1,0,0,0,5,7,13,4,9,8,6,16,6];
  849. 	paths[660] = [2,2,1,0,2,2,2,0,1,0,0,0,5,7,13,4,9,8,7,13,9];
  850. 	paths[661] = [2,2,1,1,2,2,2,0,1,0,0,0,5,7,13,4,9,8,7,14,7];
  851. 	paths[662] = [2,2,1,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,7,16,5];
  852. 	paths[663] = [2,2,1,0,2,2,3,0,1,0,0,0,5,7,13,4,9,8,8,13,8];
  853. 	paths[664] = [2,2,1,1,2,2,3,0,1,0,0,0,5,7,13,4,9,8,8,14,6];
  854. 	paths[665] = [2,2,0,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,8,19,4];
  855. 	paths[666] = [2,2,1,2,2,2,2,1,1,0,0,0,5,7,13,4,9,8,9,13,7];
  856. 	paths[667] = [2,2,3,1,2,2,2,1,1,0,0,0,5,7,13,4,9,8,9,14,5];
  857. 	paths[668] = [2,2,1,2,2,2,2,0,1,0,0,0,5,7,13,4,9,8,10,11,8];
  858. 	paths[669] = [2,2,3,1,2,2,2,0,1,0,0,0,5,7,13,4,9,8,10,12,6];
  859. 	paths[670] = [2,2,3,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,10,14,4];
  860. 	paths[671] = [2,2,1,2,2,2,3,0,1,0,0,0,5,7,13,4,9,8,11,11,7];
  861. 	paths[672] = [2,2,3,1,2,2,3,0,1,0,0,0,5,7,13,4,9,8,11,12,5];
  862. 	paths[673] = [4,2,0,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,11,17,3];
  863. 	paths[674] = [2,2,1,3,2,2,2,1,1,0,0,0,5,7,13,4,9,8,12,11,6];
  864. 	paths[675] = [4,2,3,1,2,2,2,1,1,0,0,0,5,7,13,4,9,8,12,12,4];
  865. 	paths[676] = [2,2,1,3,2,2,2,0,1,0,0,0,5,7,13,4,9,8,13,9,7];
  866. 	paths[677] = [4,2,3,1,2,2,2,0,1,0,0,0,5,7,13,4,9,8,13,10,5];
  867. 	paths[678] = [4,2,3,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,13,12,3];
  868. 	paths[679] = [2,2,1,3,2,2,3,0,1,0,0,0,5,7,13,4,9,8,14,9,6];
  869. 	paths[680] = [4,2,3,1,2,2,3,0,1,0,0,0,5,7,13,4,9,8,14,10,4];
  870. 	paths[681] = [2,2,3,3,2,2,2,1,1,0,0,0,5,7,13,4,9,8,15,9,5];
  871. 	paths[682] = [2,2,3,3,2,2,2,0,1,0,0,0,5,7,13,4,9,8,16,7,6];
  872. 	paths[683] = [2,2,3,3,2,2,3,1,1,0,0,0,5,7,13,4,9,8,16,9,4];
  873. 	paths[684] = [2,2,3,3,2,2,3,0,1,0,0,0,5,7,13,4,9,8,17,7,5];
  874. 	paths[685] = [4,2,3,3,2,2,2,1,1,0,0,0,5,7,13,4,9,8,18,7,4];
  875. 	paths[686] = [4,2,3,3,2,2,2,0,1,0,0,0,5,7,13,4,9,8,19,5,5];
  876. 	paths[687] = [4,2,3,3,2,2,3,1,1,0,0,0,5,7,13,4,9,8,19,7,3];
  877. 	paths[688] = [4,2,3,3,2,2,3,0,1,0,0,0,5,7,13,4,9,8,20,5,4];
  878. 	paths[689] = [4,2,3,3,1,2,2,0,1,0,0,0,5,7,13,4,9,8,22,3,6];
  879. 	paths[690] = [4,2,3,3,1,2,3,0,1,0,0,0,5,7,13,4,9,8,23,3,5];
  880. 	paths[691] = [2,2,1,0,3,3,2,1,1,0,0,0,5,7,13,5,7,10,5,17,9];
  881. 	paths[692] = [2,2,1,1,3,3,2,1,1,0,0,0,5,7,13,5,7,10,5,18,7];
  882. 	paths[693] = [2,2,1,0,2,3,2,1,1,0,0,0,5,7,13,5,7,10,6,15,8];
  883. 	paths[694] = [2,2,1,1,2,3,2,1,1,0,0,0,5,7,13,5,7,10,6,16,6];
  884. 	paths[695] = [2,2,1,0,2,3,2,0,1,0,0,0,5,7,13,5,7,10,7,13,9];
  885. 	paths[696] = [2,2,1,1,2,3,2,0,1,0,0,0,5,7,13,5,7,10,7,14,7];
  886. 	paths[697] = [2,2,1,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,7,16,5];
  887. 	paths[698] = [2,2,1,0,2,3,3,0,1,0,0,0,5,7,13,5,7,10,8,13,8];
  888. 	paths[699] = [2,2,1,1,2,3,3,0,1,0,0,0,5,7,13,5,7,10,8,14,6];
  889. 	paths[700] = [2,2,0,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,8,19,4];
  890. 	paths[701] = [2,2,1,2,2,3,2,1,1,0,0,0,5,7,13,5,7,10,9,13,7];
  891. 	paths[702] = [2,2,3,1,2,3,2,1,1,0,0,0,5,7,13,5,7,10,9,14,5];
  892. 	paths[703] = [2,2,1,2,2,3,2,0,1,0,0,0,5,7,13,5,7,10,10,11,8];
  893. 	paths[704] = [2,2,3,1,2,3,2,0,1,0,0,0,5,7,13,5,7,10,10,12,6];
  894. 	paths[705] = [2,2,3,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,10,14,4];
  895. 	paths[706] = [2,2,1,2,2,3,3,0,1,0,0,0,5,7,13,5,7,10,11,11,7];
  896. 	paths[707] = [2,2,3,1,2,3,3,0,1,0,0,0,5,7,13,5,7,10,11,12,5];
  897. 	paths[708] = [4,2,0,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,11,17,3];
  898. 	paths[709] = [2,2,1,3,2,3,2,1,1,0,0,0,5,7,13,5,7,10,12,11,6];
  899. 	paths[710] = [4,2,3,1,2,3,2,1,1,0,0,0,5,7,13,5,7,10,12,12,4];
  900. 	paths[711] = [2,2,1,3,2,3,2,0,1,0,0,0,5,7,13,5,7,10,13,9,7];
  901. 	paths[712] = [4,2,3,1,2,3,2,0,1,0,0,0,5,7,13,5,7,10,13,10,5];
  902. 	paths[713] = [4,2,3,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,13,12,3];
  903. 	paths[714] = [2,2,1,3,2,3,3,0,1,0,0,0,5,7,13,5,7,10,14,9,6];
  904. 	paths[715] = [4,2,3,1,2,3,3,0,1,0,0,0,5,7,13,5,7,10,14,10,4];
  905. 	paths[716] = [2,2,3,3,2,3,2,1,1,0,0,0,5,7,13,5,7,10,15,9,5];
  906. 	paths[717] = [2,2,3,3,2,3,2,0,1,0,0,0,5,7,13,5,7,10,16,7,6];
  907. 	paths[718] = [2,2,3,3,2,3,3,1,1,0,0,0,5,7,13,5,7,10,16,9,4];
  908. 	paths[719] = [2,2,3,3,2,3,3,0,1,0,0,0,5,7,13,5,7,10,17,7,5];
  909. 	paths[720] = [4,2,3,3,2,3,2,1,1,0,0,0,5,7,13,5,7,10,18,7,4];
  910. 	paths[721] = [4,2,3,3,2,3,2,0,1,0,0,0,5,7,13,5,7,10,19,5,5];
  911. 	paths[722] = [4,2,3,3,2,3,3,1,1,0,0,0,5,7,13,5,7,10,19,7,3];
  912. 	paths[723] = [4,2,3,3,2,3,3,0,1,0,0,0,5,7,13,5,7,10,20,5,4];
  913. 	paths[724] = [4,2,3,3,1,3,2,0,1,0,0,0,5,7,13,5,7,10,22,3,6];
  914. 	paths[725] = [4,2,3,3,1,3,3,0,1,0,0,0,5,7,13,5,7,10,23,3,5];
  915. 	paths[726] = [2,2,1,0,3,0,2,1,1,0,0,0,5,7,13,5,8,9,5,17,9];
  916. 	paths[727] = [2,2,1,1,3,0,2,1,1,0,0,0,5,7,13,5,8,9,5,18,7];
  917. 	paths[728] = [2,2,1,0,2,0,2,1,1,0,0,0,5,7,13,5,8,9,6,15,8];
  918. 	paths[729] = [2,2,1,1,2,0,2,1,1,0,0,0,5,7,13,5,8,9,6,16,6];
  919. 	paths[730] = [2,2,1,0,2,0,2,0,1,0,0,0,5,7,13,5,8,9,7,13,9];
  920. 	paths[731] = [2,2,1,1,2,0,2,0,1,0,0,0,5,7,13,5,8,9,7,14,7];
  921. 	paths[732] = [2,2,1,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,7,16,5];
  922. 	paths[733] = [2,2,1,0,2,0,3,0,1,0,0,0,5,7,13,5,8,9,8,13,8];
  923. 	paths[734] = [2,2,1,1,2,0,3,0,1,0,0,0,5,7,13,5,8,9,8,14,6];
  924. 	paths[735] = [2,2,0,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,8,19,4];
  925. 	paths[736] = [2,2,1,2,2,0,2,1,1,0,0,0,5,7,13,5,8,9,9,13,7];
  926. 	paths[737] = [2,2,3,1,2,0,2,1,1,0,0,0,5,7,13,5,8,9,9,14,5];
  927. 	paths[738] = [2,2,1,2,2,0,2,0,1,0,0,0,5,7,13,5,8,9,10,11,8];
  928. 	paths[739] = [2,2,3,1,2,0,2,0,1,0,0,0,5,7,13,5,8,9,10,12,6];
  929. 	paths[740] = [2,2,3,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,10,14,4];
  930. 	paths[741] = [2,2,1,2,2,0,3,0,1,0,0,0,5,7,13,5,8,9,11,11,7];
  931. 	paths[742] = [2,2,3,1,2,0,3,0,1,0,0,0,5,7,13,5,8,9,11,12,5];
  932. 	paths[743] = [4,2,0,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,11,17,3];
  933. 	paths[744] = [2,2,1,3,2,0,2,1,1,0,0,0,5,7,13,5,8,9,12,11,6];
  934. 	paths[745] = [4,2,3,1,2,0,2,1,1,0,0,0,5,7,13,5,8,9,12,12,4];
  935. 	paths[746] = [2,2,1,3,2,0,2,0,1,0,0,0,5,7,13,5,8,9,13,9,7];
  936. 	paths[747] = [4,2,3,1,2,0,2,0,1,0,0,0,5,7,13,5,8,9,13,10,5];
  937. 	paths[748] = [4,2,3,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,13,12,3];
  938. 	paths[749] = [2,2,1,3,2,0,3,0,1,0,0,0,5,7,13,5,8,9,14,9,6];
  939. 	paths[750] = [4,2,3,1,2,0,3,0,1,0,0,0,5,7,13,5,8,9,14,10,4];
  940. 	paths[751] = [2,2,3,3,2,0,2,1,1,0,0,0,5,7,13,5,8,9,15,9,5];
  941. 	paths[752] = [2,2,3,3,2,0,2,0,1,0,0,0,5,7,13,5,8,9,16,7,6];
  942. 	paths[753] = [2,2,3,3,2,0,3,1,1,0,0,0,5,7,13,5,8,9,16,9,4];
  943. 	paths[754] = [2,2,3,3,2,0,3,0,1,0,0,0,5,7,13,5,8,9,17,7,5];
  944. 	paths[755] = [4,2,3,3,2,0,2,1,1,0,0,0,5,7,13,5,8,9,18,7,4];
  945. 	paths[756] = [4,2,3,3,2,0,2,0,1,0,0,0,5,7,13,5,8,9,19,5,5];
  946. 	paths[757] = [4,2,3,3,2,0,3,1,1,0,0,0,5,7,13,5,8,9,19,7,3];
  947. 	paths[758] = [4,2,3,3,2,0,3,0,1,0,0,0,5,7,13,5,8,9,20,5,4];
  948. 	paths[759] = [4,2,3,3,1,0,2,0,1,0,0,0,5,7,13,5,8,9,22,3,6];
  949. 	paths[760] = [4,2,3,3,1,0,3,0,1,0,0,0,5,7,13,5,8,9,23,3,5];
  950. 	paths[761] = [2,1,1,0,3,1,2,1,1,0,0,0,5,7,13,8,12,7,5,17,9];
  951. 	paths[762] = [2,1,1,1,3,1,2,1,1,0,0,0,5,7,13,8,12,7,5,18,7];
  952. 	paths[763] = [2,1,1,0,2,1,2,1,1,0,0,0,5,7,13,8,12,7,6,15,8];
  953. 	paths[764] = [2,1,1,1,2,1,2,1,1,0,0,0,5,7,13,8,12,7,6,16,6];
  954. 	paths[765] = [2,1,1,0,2,1,2,0,1,0,0,0,5,7,13,8,12,7,7,13,9];
  955. 	paths[766] = [2,1,1,1,2,1,2,0,1,0,0,0,5,7,13,8,12,7,7,14,7];
  956. 	paths[767] = [2,1,1,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,7,16,5];
  957. 	paths[768] = [2,1,1,0,2,1,3,0,1,0,0,0,5,7,13,8,12,7,8,13,8];
  958. 	paths[769] = [2,1,1,1,2,1,3,0,1,0,0,0,5,7,13,8,12,7,8,14,6];
  959. 	paths[770] = [2,1,0,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,8,19,4];
  960. 	paths[771] = [2,1,1,2,2,1,2,1,1,0,0,0,5,7,13,8,12,7,9,13,7];
  961. 	paths[772] = [2,1,3,1,2,1,2,1,1,0,0,0,5,7,13,8,12,7,9,14,5];
  962. 	paths[773] = [2,1,1,2,2,1,2,0,1,0,0,0,5,7,13,8,12,7,10,11,8];
  963. 	paths[774] = [2,1,3,1,2,1,2,0,1,0,0,0,5,7,13,8,12,7,10,12,6];
  964. 	paths[775] = [2,1,3,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,10,14,4];
  965. 	paths[776] = [2,1,1,2,2,1,3,0,1,0,0,0,5,7,13,8,12,7,11,11,7];
  966. 	paths[777] = [2,1,3,1,2,1,3,0,1,0,0,0,5,7,13,8,12,7,11,12,5];
  967. 	paths[778] = [4,1,0,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,11,17,3];
  968. 	paths[779] = [2,1,1,3,2,1,2,1,1,0,0,0,5,7,13,8,12,7,12,11,6];
  969. 	paths[780] = [4,1,3,1,2,1,2,1,1,0,0,0,5,7,13,8,12,7,12,12,4];
  970. 	paths[781] = [2,1,1,3,2,1,2,0,1,0,0,0,5,7,13,8,12,7,13,9,7];
  971. 	paths[782] = [4,1,3,1,2,1,2,0,1,0,0,0,5,7,13,8,12,7,13,10,5];
  972. 	paths[783] = [4,1,3,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,13,12,3];
  973. 	paths[784] = [2,1,1,3,2,1,3,0,1,0,0,0,5,7,13,8,12,7,14,9,6];
  974. 	paths[785] = [4,1,3,1,2,1,3,0,1,0,0,0,5,7,13,8,12,7,14,10,4];
  975. 	paths[786] = [2,1,3,3,2,1,2,1,1,0,0,0,5,7,13,8,12,7,15,9,5];
  976. 	paths[787] = [2,1,3,3,2,1,2,0,1,0,0,0,5,7,13,8,12,7,16,7,6];
  977. 	paths[788] = [2,1,3,3,2,1,3,1,1,0,0,0,5,7,13,8,12,7,16,9,4];
  978. 	paths[789] = [2,1,3,3,2,1,3,0,1,0,0,0,5,7,13,8,12,7,17,7,5];
  979. 	paths[790] = [4,1,3,3,2,1,2,1,1,0,0,0,5,7,13,8,12,7,18,7,4];
  980. 	paths[791] = [4,1,3,3,2,1,2,0,1,0,0,0,5,7,13,8,12,7,19,5,5];
  981. 	paths[792] = [4,1,3,3,2,1,3,1,1,0,0,0,5,7,13,8,12,7,19,7,3];
  982. 	paths[793] = [4,1,3,3,2,1,3,0,1,0,0,0,5,7,13,8,12,7,20,5,4];
  983. 	paths[794] = [4,1,3,3,1,1,2,0,1,0,0,0,5,7,13,8,12,7,22,3,6];
  984. 	paths[795] = [4,1,3,3,1,1,3,0,1,0,0,0,5,7,13,8,12,7,23,3,5];
  985. 	paths[796] = [2,2,4,0,3,1,2,1,1,0,0,0,5,7,13,8,14,5,5,17,9];
  986. 	paths[797] = [2,2,4,1,3,1,2,1,1,0,0,0,5,7,13,8,14,5,5,18,7];
  987. 	paths[798] = [2,2,4,0,2,1,2,1,1,0,0,0,5,7,13,8,14,5,6,15,8];
  988. 	paths[799] = [2,2,4,1,2,1,2,1,1,0,0,0,5,7,13,8,14,5,6,16,6];
  989. 	paths[800] = [2,2,4,0,2,1,2,0,1,0,0,0,5,7,13,8,14,5,7,13,9];
  990. 	paths[801] = [2,2,4,1,2,1,2,0,1,0,0,0,5,7,13,8,14,5,7,14,7];
  991. 	paths[802] = [2,2,4,1,2,1,3,1,1,0,0,0,5,7,13,8,14,5,7,16,5];
  992. 	paths[803] = [2,2,4,0,2,1,3,0,1,0,0,0,5,7,13,8,14,5,8,13,8];
  993. 	paths[804] = [2,2,4,1,2,1,3,0,1,0,0,0,5,7,13,8,14,5,8,14,6];
  994. 	paths[805] = [2,2,4,2,2,1,2,1,1,0,0,0,5,7,13,8,14,5,9,13,7];
  995. 	paths[806] = [2,2,5,1,2,1,2,1,1,0,0,0,5,7,13,8,14,5,9,14,5];
  996. 	paths[807] = [2,2,4,2,2,1,2,0,1,0,0,0,5,7,13,8,14,5,10,11,8];
  997. 	paths[808] = [2,2,5,1,2,1,2,0,1,0,0,0,5,7,13,8,14,5,10,12,6];
  998. 	paths[809] = [2,2,5,1,2,1,3,1,1,0,0,0,5,7,13,8,14,5,10,14,4];
  999. 	paths[810] = [2,2,4,2,2,1,3,0,1,0,0,0,5,7,13,8,14,5,11,11,7];
  1000. 	paths[811] = [2,2,5,1,2,1,3,0,1,0,0,0,5,7,13,8,14,5,11,12,5];
  1001. 	paths[812] = [2,2,4,3,2,1,2,1,1,0,0,0,5,7,13,8,14,5,12,11,6];
  1002. 	paths[813] = [4,2,5,1,2,1,2,1,1,0,0,0,5,7,13,8,14,5,12,12,4];
  1003. 	paths[814] = [2,2,4,3,2,1,2,0,1,0,0,0,5,7,13,8,14,5,13,9,7];
  1004. 	paths[815] = [4,2,5,1,2,1,2,0,1,0,0,0,5,7,13,8,14,5,13,10,5];
  1005. 	paths[816] = [4,2,5,1,2,1,3,1,1,0,0,0,5,7,13,8,14,5,13,12,3];
  1006. 	paths[817] = [2,2,4,3,2,1,3,0,1,0,0,0,5,7,13,8,14,5,14,9,6];
  1007. 	paths[818] = [4,2,5,1,2,1,3,0,1,0,0,0,5,7,13,8,14,5,14,10,4];
  1008. 	paths[819] = [2,2,5,3,2,1,2,1,1,0,0,0,5,7,13,8,14,5,15,9,5];
  1009. 	paths[820] = [2,2,5,3,2,1,2,0,1,0,0,0,5,7,13,8,14,5,16,7,6];
  1010. 	paths[821] = [2,2,5,3,2,1,3,1,1,0,0,0,5,7,13,8,14,5,16,9,4];
  1011. 	paths[822] = [2,2,5,3,2,1,3,0,1,0,0,0,5,7,13,8,14,5,17,7,5];
  1012. 	paths[823] = [4,2,5,3,2,1,2,1,1,0,0,0,5,7,13,8,14,5,18,7,4];
  1013. 	paths[824] = [4,2,5,3,2,1,2,0,1,0,0,0,5,7,13,8,14,5,19,5,5];
  1014. 	paths[825] = [4,2,5,3,2,1,3,1,1,0,0,0,5,7,13,8,14,5,19,7,3];
  1015. 	paths[826] = [4,2,5,3,2,1,3,0,1,0,0,0,5,7,13,8,14,5,20,5,4];
  1016. 	paths[827] = [4,2,5,3,1,1,2,0,1,0,0,0,5,7,13,8,14,5,22,3,6];
  1017. 	paths[828] = [4,2,5,3,1,1,3,0,1,0,0,0,5,7,13,8,14,5,23,3,5];
  1018. 	paths[829] = [2,2,4,0,3,2,2,1,1,0,0,0,5,7,13,9,10,7,5,17,9];
  1019. 	paths[830] = [2,2,4,1,3,2,2,1,1,0,0,0,5,7,13,9,10,7,5,18,7];
  1020. 	paths[831] = [2,2,4,0,2,2,2,1,1,0,0,0,5,7,13,9,10,7,6,15,8];
  1021. 	paths[832] = [2,2,4,1,2,2,2,1,1,0,0,0,5,7,13,9,10,7,6,16,6];
  1022. 	paths[833] = [2,2,4,0,2,2,2,0,1,0,0,0,5,7,13,9,10,7,7,13,9];
  1023. 	paths[834] = [2,2,4,1,2,2,2,0,1,0,0,0,5,7,13,9,10,7,7,14,7];
  1024. 	paths[835] = [2,2,4,1,2,2,3,1,1,0,0,0,5,7,13,9,10,7,7,16,5];
  1025. 	paths[836] = [2,2,4,0,2,2,3,0,1,0,0,0,5,7,13,9,10,7,8,13,8];
  1026. 	paths[837] = [2,2,4,1,2,2,3,0,1,0,0,0,5,7,13,9,10,7,8,14,6];
  1027. 	paths[838] = [2,2,4,2,2,2,2,1,1,0,0,0,5,7,13,9,10,7,9,13,7];
  1028. 	paths[839] = [2,2,5,1,2,2,2,1,1,0,0,0,5,7,13,9,10,7,9,14,5];
  1029. 	paths[840] = [2,2,4,2,2,2,2,0,1,0,0,0,5,7,13,9,10,7,10,11,8];
  1030. 	paths[841] = [2,2,5,1,2,2,2,0,1,0,0,0,5,7,13,9,10,7,10,12,6];
  1031. 	paths[842] = [2,2,5,1,2,2,3,1,1,0,0,0,5,7,13,9,10,7,10,14,4];
  1032. 	paths[843] = [2,2,4,2,2,2,3,0,1,0,0,0,5,7,13,9,10,7,11,11,7];
  1033. 	paths[844] = [2,2,5,1,2,2,3,0,1,0,0,0,5,7,13,9,10,7,11,12,5];
  1034. 	paths[845] = [2,2,4,3,2,2,2,1,1,0,0,0,5,7,13,9,10,7,12,11,6];
  1035. 	paths[846] = [4,2,5,1,2,2,2,1,1,0,0,0,5,7,13,9,10,7,12,12,4];
  1036. 	paths[847] = [2,2,4,3,2,2,2,0,1,0,0,0,5,7,13,9,10,7,13,9,7];
  1037. 	paths[848] = [4,2,5,1,2,2,2,0,1,0,0,0,5,7,13,9,10,7,13,10,5];
  1038. 	paths[849] = [4,2,5,1,2,2,3,1,1,0,0,0,5,7,13,9,10,7,13,12,3];
  1039. 	paths[850] = [2,2,4,3,2,2,3,0,1,0,0,0,5,7,13,9,10,7,14,9,6];
  1040. 	paths[851] = [4,2,5,1,2,2,3,0,1,0,0,0,5,7,13,9,10,7,14,10,4];
  1041. 	paths[852] = [2,2,5,3,2,2,2,1,1,0,0,0,5,7,13,9,10,7,15,9,5];
  1042. 	paths[853] = [2,2,5,3,2,2,2,0,1,0,0,0,5,7,13,9,10,7,16,7,6];
  1043. 	paths[854] = [2,2,5,3,2,2,3,1,1,0,0,0,5,7,13,9,10,7,16,9,4];
  1044. 	paths[855] = [2,2,5,3,2,2,3,0,1,0,0,0,5,7,13,9,10,7,17,7,5];
  1045. 	paths[856] = [4,2,5,3,2,2,2,1,1,0,0,0,5,7,13,9,10,7,18,7,4];
  1046. 	paths[857] = [4,2,5,3,2,2,2,0,1,0,0,0,5,7,13,9,10,7,19,5,5];
  1047. 	paths[858] = [4,2,5,3,2,2,3,1,1,0,0,0,5,7,13,9,10,7,19,7,3];
  1048. 	paths[859] = [4,2,5,3,2,2,3,0,1,0,0,0,5,7,13,9,10,7,20,5,4];
  1049. 	paths[860] = [4,2,5,3,1,2,2,0,1,0,0,0,5,7,13,9,10,7,22,3,6];
  1050. 	paths[861] = [4,2,5,3,1,2,3,0,1,0,0,0,5,7,13,9,10,7,23,3,5];
  1051. 	paths[862] = [2,1,1,0,3,3,2,1,1,0,0,0,5,7,13,10,6,11,5,17,9];
  1052. 	paths[863] = [2,1,1,1,3,3,2,1,1,0,0,0,5,7,13,10,6,11,5,18,7];
  1053. 	paths[864] = [2,1,1,0,2,3,2,1,1,0,0,0,5,7,13,10,6,11,6,15,8];
  1054. 	paths[865] = [2,1,1,1,2,3,2,1,1,0,0,0,5,7,13,10,6,11,6,16,6];
  1055. 	paths[866] = [2,1,1,0,2,3,2,0,1,0,0,0,5,7,13,10,6,11,7,13,9];
  1056. 	paths[867] = [2,1,1,1,2,3,2,0,1,0,0,0,5,7,13,10,6,11,7,14,7];
  1057. 	paths[868] = [2,1,1,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,7,16,5];
  1058. 	paths[869] = [2,1,1,0,2,3,3,0,1,0,0,0,5,7,13,10,6,11,8,13,8];
  1059. 	paths[870] = [2,1,1,1,2,3,3,0,1,0,0,0,5,7,13,10,6,11,8,14,6];
  1060. 	paths[871] = [2,1,0,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,8,19,4];
  1061. 	paths[872] = [2,1,1,2,2,3,2,1,1,0,0,0,5,7,13,10,6,11,9,13,7];
  1062. 	paths[873] = [2,1,3,1,2,3,2,1,1,0,0,0,5,7,13,10,6,11,9,14,5];
  1063. 	paths[874] = [2,1,1,2,2,3,2,0,1,0,0,0,5,7,13,10,6,11,10,11,8];
  1064. 	paths[875] = [2,1,3,1,2,3,2,0,1,0,0,0,5,7,13,10,6,11,10,12,6];
  1065. 	paths[876] = [2,1,3,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,10,14,4];
  1066. 	paths[877] = [2,1,1,2,2,3,3,0,1,0,0,0,5,7,13,10,6,11,11,11,7];
  1067. 	paths[878] = [2,1,3,1,2,3,3,0,1,0,0,0,5,7,13,10,6,11,11,12,5];
  1068. 	paths[879] = [4,1,0,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,11,17,3];
  1069. 	paths[880] = [2,1,1,3,2,3,2,1,1,0,0,0,5,7,13,10,6,11,12,11,6];
  1070. 	paths[881] = [4,1,3,1,2,3,2,1,1,0,0,0,5,7,13,10,6,11,12,12,4];
  1071. 	paths[882] = [2,1,1,3,2,3,2,0,1,0,0,0,5,7,13,10,6,11,13,9,7];
  1072. 	paths[883] = [4,1,3,1,2,3,2,0,1,0,0,0,5,7,13,10,6,11,13,10,5];
  1073. 	paths[884] = [4,1,3,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,13,12,3];
  1074. 	paths[885] = [2,1,1,3,2,3,3,0,1,0,0,0,5,7,13,10,6,11,14,9,6];
  1075. 	paths[886] = [4,1,3,1,2,3,3,0,1,0,0,0,5,7,13,10,6,11,14,10,4];
  1076. 	paths[887] = [2,1,3,3,2,3,2,1,1,0,0,0,5,7,13,10,6,11,15,9,5];
  1077. 	paths[888] = [2,1,3,3,2,3,2,0,1,0,0,0,5,7,13,10,6,11,16,7,6];
  1078. 	paths[889] = [2,1,3,3,2,3,3,1,1,0,0,0,5,7,13,10,6,11,16,9,4];
  1079. 	paths[890] = [2,1,3,3,2,3,3,0,1,0,0,0,5,7,13,10,6,11,17,7,5];
  1080. 	paths[891] = [4,1,3,3,2,3,2,1,1,0,0,0,5,7,13,10,6,11,18,7,4];
  1081. 	paths[892] = [4,1,3,3,2,3,2,0,1,0,0,0,5,7,13,10,6,11,19,5,5];
  1082. 	paths[893] = [4,1,3,3,2,3,3,1,1,0,0,0,5,7,13,10,6,11,19,7,3];
  1083. 	paths[894] = [4,1,3,3,2,3,3,0,1,0,0,0,5,7,13,10,6,11,20,5,4];
  1084. 	paths[895] = [4,1,3,3,1,3,2,0,1,0,0,0,5,7,13,10,6,11,22,3,6];
  1085. 	paths[896] = [4,1,3,3,1,3,3,0,1,0,0,0,5,7,13,10,6,11,23,3,5];
  1086. 	paths[897] = [0,2,1,0,0,1,2,1,1,0,0,0,6,6,14,2,17,8,6,15,8];
  1087. 	paths[898] = [0,2,1,1,0,1,2,1,1,0,0,0,6,6,14,2,17,8,6,16,6];
  1088. 	paths[899] = [0,2,1,0,0,1,2,0,1,0,0,0,6,6,14,2,17,8,7,13,9];
  1089. 	paths[900] = [0,2,1,1,0,1,2,0,1,0,0,0,6,6,14,2,17,8,7,14,7];
  1090. 	paths[901] = [0,2,1,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,7,16,5];
  1091. 	paths[902] = [0,2,1,0,0,1,3,0,1,0,0,0,6,6,14,2,17,8,8,13,8];
  1092. 	paths[903] = [0,2,1,1,0,1,3,0,1,0,0,0,6,6,14,2,17,8,8,14,6];
  1093. 	paths[904] = [0,2,0,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,8,19,4];
  1094. 	paths[905] = [0,2,1,2,0,1,2,1,1,0,0,0,6,6,14,2,17,8,9,13,7];
  1095. 	paths[906] = [0,2,3,1,0,1,2,1,1,0,0,0,6,6,14,2,17,8,9,14,5];
  1096. 	paths[907] = [0,2,1,2,0,1,2,0,1,0,0,0,6,6,14,2,17,8,10,11,8];
  1097. 	paths[908] = [0,2,3,1,0,1,2,0,1,0,0,0,6,6,14,2,17,8,10,12,6];
  1098. 	paths[909] = [0,2,3,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,10,14,4];
  1099. 	paths[910] = [0,2,1,2,0,1,3,0,1,0,0,0,6,6,14,2,17,8,11,11,7];
  1100. 	paths[911] = [0,2,3,1,0,1,3,0,1,0,0,0,6,6,14,2,17,8,11,12,5];
  1101. 	paths[912] = [1,2,0,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,11,17,3];
  1102. 	paths[913] = [0,2,1,3,0,1,2,1,1,0,0,0,6,6,14,2,17,8,12,11,6];
  1103. 	paths[914] = [1,2,3,1,0,1,2,1,1,0,0,0,6,6,14,2,17,8,12,12,4];
  1104. 	paths[915] = [0,2,1,3,0,1,2,0,1,0,0,0,6,6,14,2,17,8,13,9,7];
  1105. 	paths[916] = [1,2,3,1,0,1,2,0,1,0,0,0,6,6,14,2,17,8,13,10,5];
  1106. 	paths[917] = [1,2,3,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,13,12,3];
  1107. 	paths[918] = [0,2,1,3,0,1,3,0,1,0,0,0,6,6,14,2,17,8,14,9,6];
  1108. 	paths[919] = [1,2,3,1,0,1,3,0,1,0,0,0,6,6,14,2,17,8,14,10,4];
  1109. 	paths[920] = [0,2,3,3,0,1,2,1,1,0,0,0,6,6,14,2,17,8,15,9,5];
  1110. 	paths[921] = [0,2,3,3,0,1,2,0,1,0,0,0,6,6,14,2,17,8,16,7,6];
  1111. 	paths[922] = [0,2,3,3,0,1,3,1,1,0,0,0,6,6,14,2,17,8,16,9,4];
  1112. 	paths[923] = [0,2,3,3,0,1,3,0,1,0,0,0,6,6,14,2,17,8,17,7,5];
  1113. 	paths[924] = [1,2,3,3,0,1,2,1,1,0,0,0,6,6,14,2,17,8,18,7,4];
  1114. 	paths[925] = [1,2,3,3,0,1,2,0,1,0,0,0,6,6,14,2,17,8,19,5,5];
  1115. 	paths[926] = [1,2,3,3,0,1,3,1,1,0,0,0,6,6,14,2,17,8,19,7,3];
  1116. 	paths[927] = [1,2,3,3,0,1,3,0,1,0,0,0,6,6,14,2,17,8,20,5,4];
  1117. 	paths[928] = [2,2,1,0,0,1,2,1,1,0,0,0,6,6,14,3,13,6,6,15,8];
  1118. 	paths[929] = [2,2,1,1,0,1,2,1,1,0,0,0,6,6,14,3,13,6,6,16,6];
  1119. 	paths[930] = [2,2,1,0,0,1,2,0,1,0,0,0,6,6,14,3,13,6,7,13,9];
  1120. 	paths[931] = [2,2,1,1,0,1,2,0,1,0,0,0,6,6,14,3,13,6,7,14,7];
  1121. 	paths[932] = [2,2,1,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,7,16,5];
  1122. 	paths[933] = [2,2,1,0,0,1,3,0,1,0,0,0,6,6,14,3,13,6,8,13,8];
  1123. 	paths[934] = [2,2,1,1,0,1,3,0,1,0,0,0,6,6,14,3,13,6,8,14,6];
  1124. 	paths[935] = [2,2,0,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,8,19,4];
  1125. 	paths[936] = [2,2,1,2,0,1,2,1,1,0,0,0,6,6,14,3,13,6,9,13,7];
  1126. 	paths[937] = [2,2,3,1,0,1,2,1,1,0,0,0,6,6,14,3,13,6,9,14,5];
  1127. 	paths[938] = [2,2,1,2,0,1,2,0,1,0,0,0,6,6,14,3,13,6,10,11,8];
  1128. 	paths[939] = [2,2,3,1,0,1,2,0,1,0,0,0,6,6,14,3,13,6,10,12,6];
  1129. 	paths[940] = [2,2,3,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,10,14,4];
  1130. 	paths[941] = [2,2,1,2,0,1,3,0,1,0,0,0,6,6,14,3,13,6,11,11,7];
  1131. 	paths[942] = [2,2,3,1,0,1,3,0,1,0,0,0,6,6,14,3,13,6,11,12,5];
  1132. 	paths[943] = [4,2,0,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,11,17,3];
  1133. 	paths[944] = [2,2,1,3,0,1,2,1,1,0,0,0,6,6,14,3,13,6,12,11,6];
  1134. 	paths[945] = [4,2,3,1,0,1,2,1,1,0,0,0,6,6,14,3,13,6,12,12,4];
  1135. 	paths[946] = [2,2,1,3,0,1,2,0,1,0,0,0,6,6,14,3,13,6,13,9,7];
  1136. 	paths[947] = [4,2,3,1,0,1,2,0,1,0,0,0,6,6,14,3,13,6,13,10,5];
  1137. 	paths[948] = [4,2,3,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,13,12,3];
  1138. 	paths[949] = [2,2,1,3,0,1,3,0,1,0,0,0,6,6,14,3,13,6,14,9,6];
  1139. 	paths[950] = [4,2,3,1,0,1,3,0,1,0,0,0,6,6,14,3,13,6,14,10,4];
  1140. 	paths[951] = [2,2,3,3,0,1,2,1,1,0,0,0,6,6,14,3,13,6,15,9,5];
  1141. 	paths[952] = [2,2,3,3,0,1,2,0,1,0,0,0,6,6,14,3,13,6,16,7,6];
  1142. 	paths[953] = [2,2,3,3,0,1,3,1,1,0,0,0,6,6,14,3,13,6,16,9,4];
  1143. 	paths[954] = [2,2,3,3,0,1,3,0,1,0,0,0,6,6,14,3,13,6,17,7,5];
  1144. 	paths[955] = [4,2,3,3,0,1,2,1,1,0,0,0,6,6,14,3,13,6,18,7,4];
  1145. 	paths[956] = [4,2,3,3,0,1,2,0,1,0,0,0,6,6,14,3,13,6,19,5,5];
  1146. 	paths[957] = [4,2,3,3,0,1,3,1,1,0,0,0,6,6,14,3,13,6,19,7,3];
  1147. 	paths[958] = [4,2,3,3,0,1,3,0,1,0,0,0,6,6,14,3,13,6,20,5,4];
  1148. 	paths[959] = [2,2,1,0,0,2,2,1,1,0,0,0,6,6,14,4,9,8,6,15,8];
  1149. 	paths[960] = [2,2,1,1,0,2,2,1,1,0,0,0,6,6,14,4,9,8,6,16,6];
  1150. 	paths[961] = [2,2,1,0,0,2,2,0,1,0,0,0,6,6,14,4,9,8,7,13,9];
  1151. 	paths[962] = [2,2,1,1,0,2,2,0,1,0,0,0,6,6,14,4,9,8,7,14,7];
  1152. 	paths[963] = [2,2,1,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,7,16,5];
  1153. 	paths[964] = [2,2,1,0,0,2,3,0,1,0,0,0,6,6,14,4,9,8,8,13,8];
  1154. 	paths[965] = [2,2,1,1,0,2,3,0,1,0,0,0,6,6,14,4,9,8,8,14,6];
  1155. 	paths[966] = [2,2,0,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,8,19,4];
  1156. 	paths[967] = [2,2,1,2,0,2,2,1,1,0,0,0,6,6,14,4,9,8,9,13,7];
  1157. 	paths[968] = [2,2,3,1,0,2,2,1,1,0,0,0,6,6,14,4,9,8,9,14,5];
  1158. 	paths[969] = [2,2,1,2,0,2,2,0,1,0,0,0,6,6,14,4,9,8,10,11,8];
  1159. 	paths[970] = [2,2,3,1,0,2,2,0,1,0,0,0,6,6,14,4,9,8,10,12,6];
  1160. 	paths[971] = [2,2,3,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,10,14,4];
  1161. 	paths[972] = [2,2,1,2,0,2,3,0,1,0,0,0,6,6,14,4,9,8,11,11,7];
  1162. 	paths[973] = [2,2,3,1,0,2,3,0,1,0,0,0,6,6,14,4,9,8,11,12,5];
  1163. 	paths[974] = [4,2,0,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,11,17,3];
  1164. 	paths[975] = [2,2,1,3,0,2,2,1,1,0,0,0,6,6,14,4,9,8,12,11,6];
  1165. 	paths[976] = [4,2,3,1,0,2,2,1,1,0,0,0,6,6,14,4,9,8,12,12,4];
  1166. 	paths[977] = [2,2,1,3,0,2,2,0,1,0,0,0,6,6,14,4,9,8,13,9,7];
  1167. 	paths[978] = [4,2,3,1,0,2,2,0,1,0,0,0,6,6,14,4,9,8,13,10,5];
  1168. 	paths[979] = [4,2,3,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,13,12,3];
  1169. 	paths[980] = [2,2,1,3,0,2,3,0,1,0,0,0,6,6,14,4,9,8,14,9,6];
  1170. 	paths[981] = [4,2,3,1,0,2,3,0,1,0,0,0,6,6,14,4,9,8,14,10,4];
  1171. 	paths[982] = [2,2,3,3,0,2,2,1,1,0,0,0,6,6,14,4,9,8,15,9,5];
  1172. 	paths[983] = [2,2,3,3,0,2,2,0,1,0,0,0,6,6,14,4,9,8,16,7,6];
  1173. 	paths[984] = [2,2,3,3,0,2,3,1,1,0,0,0,6,6,14,4,9,8,16,9,4];
  1174. 	paths[985] = [2,2,3,3,0,2,3,0,1,0,0,0,6,6,14,4,9,8,17,7,5];
  1175. 	paths[986] = [4,2,3,3,0,2,2,1,1,0,0,0,6,6,14,4,9,8,18,7,4];
  1176. 	paths[987] = [4,2,3,3,0,2,2,0,1,0,0,0,6,6,14,4,9,8,19,5,5];
  1177. 	paths[988] = [4,2,3,3,0,2,3,1,1,0,0,0,6,6,14,4,9,8,19,7,3];
  1178. 	paths[989] = [4,2,3,3,0,2,3,0,1,0,0,0,6,6,14,4,9,8,20,5,4];
  1179. 	paths[990] = [2,2,1,0,0,3,2,1,1,0,0,0,6,6,14,5,7,10,6,15,8];
  1180. 	paths[991] = [2,2,1,1,0,3,2,1,1,0,0,0,6,6,14,5,7,10,6,16,6];
  1181. 	paths[992] = [2,2,1,0,0,3,2,0,1,0,0,0,6,6,14,5,7,10,7,13,9];
  1182. 	paths[993] = [2,2,1,1,0,3,2,0,1,0,0,0,6,6,14,5,7,10,7,14,7];
  1183. 	paths[994] = [2,2,1,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,7,16,5];
  1184. 	paths[995] = [2,2,1,0,0,3,3,0,1,0,0,0,6,6,14,5,7,10,8,13,8];
  1185. 	paths[996] = [2,2,1,1,0,3,3,0,1,0,0,0,6,6,14,5,7,10,8,14,6];
  1186. 	paths[997] = [2,2,0,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,8,19,4];
  1187. 	paths[998] = [2,2,1,2,0,3,2,1,1,0,0,0,6,6,14,5,7,10,9,13,7];
  1188. 	paths[999] = [2,2,3,1,0,3,2,1,1,0,0,0,6,6,14,5,7,10,9,14,5];
  1189. 	paths[1000] = [2,2,1,2,0,3,2,0,1,0,0,0,6,6,14,5,7,10,10,11,8];
  1190. 	paths[1001] = [2,2,3,1,0,3,2,0,1,0,0,0,6,6,14,5,7,10,10,12,6];
  1191. 	paths[1002] = [2,2,3,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,10,14,4];
  1192. 	paths[1003] = [2,2,1,2,0,3,3,0,1,0,0,0,6,6,14,5,7,10,11,11,7];
  1193. 	paths[1004] = [2,2,3,1,0,3,3,0,1,0,0,0,6,6,14,5,7,10,11,12,5];
  1194. 	paths[1005] = [4,2,0,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,11,17,3];
  1195. 	paths[1006] = [2,2,1,3,0,3,2,1,1,0,0,0,6,6,14,5,7,10,12,11,6];
  1196. 	paths[1007] = [4,2,3,1,0,3,2,1,1,0,0,0,6,6,14,5,7,10,12,12,4];
  1197. 	paths[1008] = [2,2,1,3,0,3,2,0,1,0,0,0,6,6,14,5,7,10,13,9,7];
  1198. 	paths[1009] = [4,2,3,1,0,3,2,0,1,0,0,0,6,6,14,5,7,10,13,10,5];
  1199. 	paths[1010] = [4,2,3,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,13,12,3];
  1200. 	paths[1011] = [2,2,1,3,0,3,3,0,1,0,0,0,6,6,14,5,7,10,14,9,6];
  1201. 	paths[1012] = [4,2,3,1,0,3,3,0,1,0,0,0,6,6,14,5,7,10,14,10,4];
  1202. 	paths[1013] = [2,2,3,3,0,3,2,1,1,0,0,0,6,6,14,5,7,10,15,9,5];
  1203. 	paths[1014] = [2,2,3,3,0,3,2,0,1,0,0,0,6,6,14,5,7,10,16,7,6];
  1204. 	paths[1015] = [2,2,3,3,0,3,3,1,1,0,0,0,6,6,14,5,7,10,16,9,4];
  1205. 	paths[1016] = [2,2,3,3,0,3,3,0,1,0,0,0,6,6,14,5,7,10,17,7,5];
  1206. 	paths[1017] = [4,2,3,3,0,3,2,1,1,0,0,0,6,6,14,5,7,10,18,7,4];
  1207. 	paths[1018] = [4,2,3,3,0,3,2,0,1,0,0,0,6,6,14,5,7,10,19,5,5];
  1208. 	paths[1019] = [4,2,3,3,0,3,3,1,1,0,0,0,6,6,14,5,7,10,19,7,3];
  1209. 	paths[1020] = [4,2,3,3,0,3,3,0,1,0,0,0,6,6,14,5,7,10,20,5,4];
  1210. 	paths[1021] = [2,2,1,0,0,0,2,1,1,0,0,0,6,6,14,5,8,9,6,15,8];
  1211. 	paths[1022] = [2,2,1,1,0,0,2,1,1,0,0,0,6,6,14,5,8,9,6,16,6];
  1212. 	paths[1023] = [2,2,1,0,0,0,2,0,1,0,0,0,6,6,14,5,8,9,7,13,9];
  1213. 	paths[1024] = [2,2,1,1,0,0,2,0,1,0,0,0,6,6,14,5,8,9,7,14,7];
  1214. 	paths[1025] = [2,2,1,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,7,16,5];
  1215. 	paths[1026] = [2,2,1,0,0,0,3,0,1,0,0,0,6,6,14,5,8,9,8,13,8];
  1216. 	paths[1027] = [2,2,1,1,0,0,3,0,1,0,0,0,6,6,14,5,8,9,8,14,6];
  1217. 	paths[1028] = [2,2,0,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,8,19,4];
  1218. 	paths[1029] = [2,2,1,2,0,0,2,1,1,0,0,0,6,6,14,5,8,9,9,13,7];
  1219. 	paths[1030] = [2,2,3,1,0,0,2,1,1,0,0,0,6,6,14,5,8,9,9,14,5];
  1220. 	paths[1031] = [2,2,1,2,0,0,2,0,1,0,0,0,6,6,14,5,8,9,10,11,8];
  1221. 	paths[1032] = [2,2,3,1,0,0,2,0,1,0,0,0,6,6,14,5,8,9,10,12,6];
  1222. 	paths[1033] = [2,2,3,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,10,14,4];
  1223. 	paths[1034] = [2,2,1,2,0,0,3,0,1,0,0,0,6,6,14,5,8,9,11,11,7];
  1224. 	paths[1035] = [2,2,3,1,0,0,3,0,1,0,0,0,6,6,14,5,8,9,11,12,5];
  1225. 	paths[1036] = [4,2,0,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,11,17,3];
  1226. 	paths[1037] = [2,2,1,3,0,0,2,1,1,0,0,0,6,6,14,5,8,9,12,11,6];
  1227. 	paths[1038] = [4,2,3,1,0,0,2,1,1,0,0,0,6,6,14,5,8,9,12,12,4];
  1228. 	paths[1039] = [2,2,1,3,0,0,2,0,1,0,0,0,6,6,14,5,8,9,13,9,7];
  1229. 	paths[1040] = [4,2,3,1,0,0,2,0,1,0,0,0,6,6,14,5,8,9,13,10,5];
  1230. 	paths[1041] = [4,2,3,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,13,12,3];
  1231. 	paths[1042] = [2,2,1,3,0,0,3,0,1,0,0,0,6,6,14,5,8,9,14,9,6];
  1232. 	paths[1043] = [4,2,3,1,0,0,3,0,1,0,0,0,6,6,14,5,8,9,14,10,4];
  1233. 	paths[1044] = [2,2,3,3,0,0,2,1,1,0,0,0,6,6,14,5,8,9,15,9,5];
  1234. 	paths[1045] = [2,2,3,3,0,0,2,0,1,0,0,0,6,6,14,5,8,9,16,7,6];
  1235. 	paths[1046] = [2,2,3,3,0,0,3,1,1,0,0,0,6,6,14,5,8,9,16,9,4];
  1236. 	paths[1047] = [2,2,3,3,0,0,3,0,1,0,0,0,6,6,14,5,8,9,17,7,5];
  1237. 	paths[1048] = [4,2,3,3,0,0,2,1,1,0,0,0,6,6,14,5,8,9,18,7,4];
  1238. 	paths[1049] = [4,2,3,3,0,0,2,0,1,0,0,0,6,6,14,5,8,9,19,5,5];
  1239. 	paths[1050] = [4,2,3,3,0,0,3,1,1,0,0,0,6,6,14,5,8,9,19,7,3];
  1240. 	paths[1051] = [4,2,3,3,0,0,3,0,1,0,0,0,6,6,14,5,8,9,20,5,4];
  1241. 	paths[1052] = [2,1,1,0,0,1,2,1,1,0,0,0,6,6,14,8,12,7,6,15,8];
  1242. 	paths[1053] = [2,1,1,1,0,1,2,1,1,0,0,0,6,6,14,8,12,7,6,16,6];
  1243. 	paths[1054] = [2,1,1,0,0,1,2,0,1,0,0,0,6,6,14,8,12,7,7,13,9];
  1244. 	paths[1055] = [2,1,1,1,0,1,2,0,1,0,0,0,6,6,14,8,12,7,7,14,7];
  1245. 	paths[1056] = [2,1,1,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,7,16,5];
  1246. 	paths[1057] = [2,1,1,0,0,1,3,0,1,0,0,0,6,6,14,8,12,7,8,13,8];
  1247. 	paths[1058] = [2,1,1,1,0,1,3,0,1,0,0,0,6,6,14,8,12,7,8,14,6];
  1248. 	paths[1059] = [2,1,0,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,8,19,4];
  1249. 	paths[1060] = [2,1,1,2,0,1,2,1,1,0,0,0,6,6,14,8,12,7,9,13,7];
  1250. 	paths[1061] = [2,1,3,1,0,1,2,1,1,0,0,0,6,6,14,8,12,7,9,14,5];
  1251. 	paths[1062] = [2,1,1,2,0,1,2,0,1,0,0,0,6,6,14,8,12,7,10,11,8];
  1252. 	paths[1063] = [2,1,3,1,0,1,2,0,1,0,0,0,6,6,14,8,12,7,10,12,6];
  1253. 	paths[1064] = [2,1,3,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,10,14,4];
  1254. 	paths[1065] = [2,1,1,2,0,1,3,0,1,0,0,0,6,6,14,8,12,7,11,11,7];
  1255. 	paths[1066] = [2,1,3,1,0,1,3,0,1,0,0,0,6,6,14,8,12,7,11,12,5];
  1256. 	paths[1067] = [4,1,0,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,11,17,3];
  1257. 	paths[1068] = [2,1,1,3,0,1,2,1,1,0,0,0,6,6,14,8,12,7,12,11,6];
  1258. 	paths[1069] = [4,1,3,1,0,1,2,1,1,0,0,0,6,6,14,8,12,7,12,12,4];
  1259. 	paths[1070] = [2,1,1,3,0,1,2,0,1,0,0,0,6,6,14,8,12,7,13,9,7];
  1260. 	paths[1071] = [4,1,3,1,0,1,2,0,1,0,0,0,6,6,14,8,12,7,13,10,5];
  1261. 	paths[1072] = [4,1,3,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,13,12,3];
  1262. 	paths[1073] = [2,1,1,3,0,1,3,0,1,0,0,0,6,6,14,8,12,7,14,9,6];
  1263. 	paths[1074] = [4,1,3,1,0,1,3,0,1,0,0,0,6,6,14,8,12,7,14,10,4];
  1264. 	paths[1075] = [2,1,3,3,0,1,2,1,1,0,0,0,6,6,14,8,12,7,15,9,5];
  1265. 	paths[1076] = [2,1,3,3,0,1,2,0,1,0,0,0,6,6,14,8,12,7,16,7,6];
  1266. 	paths[1077] = [2,1,3,3,0,1,3,1,1,0,0,0,6,6,14,8,12,7,16,9,4];
  1267. 	paths[1078] = [2,1,3,3,0,1,3,0,1,0,0,0,6,6,14,8,12,7,17,7,5];
  1268. 	paths[1079] = [4,1,3,3,0,1,2,1,1,0,0,0,6,6,14,8,12,7,18,7,4];
  1269. 	paths[1080] = [4,1,3,3,0,1,2,0,1,0,0,0,6,6,14,8,12,7,19,5,5];
  1270. 	paths[1081] = [4,1,3,3,0,1,3,1,1,0,0,0,6,6,14,8,12,7,19,7,3];
  1271. 	paths[1082] = [4,1,3,3,0,1,3,0,1,0,0,0,6,6,14,8,12,7,20,5,4];
  1272. 	paths[1083] = [2,2,4,0,0,1,2,1,1,0,0,0,6,6,14,8,14,5,6,15,8];
  1273. 	paths[1084] = [2,2,4,1,0,1,2,1,1,0,0,0,6,6,14,8,14,5,6,16,6];
  1274. 	paths[1085] = [2,2,4,0,0,1,2,0,1,0,0,0,6,6,14,8,14,5,7,13,9];
  1275. 	paths[1086] = [2,2,4,1,0,1,2,0,1,0,0,0,6,6,14,8,14,5,7,14,7];
  1276. 	paths[1087] = [2,2,4,1,0,1,3,1,1,0,0,0,6,6,14,8,14,5,7,16,5];
  1277. 	paths[1088] = [2,2,4,0,0,1,3,0,1,0,0,0,6,6,14,8,14,5,8,13,8];
  1278. 	paths[1089] = [2,2,4,1,0,1,3,0,1,0,0,0,6,6,14,8,14,5,8,14,6];
  1279. 	paths[1090] = [2,2,4,2,0,1,2,1,1,0,0,0,6,6,14,8,14,5,9,13,7];
  1280. 	paths[1091] = [2,2,5,1,0,1,2,1,1,0,0,0,6,6,14,8,14,5,9,14,5];
  1281. 	paths[1092] = [2,2,4,2,0,1,2,0,1,0,0,0,6,6,14,8,14,5,10,11,8];
  1282. 	paths[1093] = [2,2,5,1,0,1,2,0,1,0,0,0,6,6,14,8,14,5,10,12,6];
  1283. 	paths[1094] = [2,2,5,1,0,1,3,1,1,0,0,0,6,6,14,8,14,5,10,14,4];
  1284. 	paths[1095] = [2,2,4,2,0,1,3,0,1,0,0,0,6,6,14,8,14,5,11,11,7];
  1285. 	paths[1096] = [2,2,5,1,0,1,3,0,1,0,0,0,6,6,14,8,14,5,11,12,5];
  1286. 	paths[1097] = [2,2,4,3,0,1,2,1,1,0,0,0,6,6,14,8,14,5,12,11,6];
  1287. 	paths[1098] = [4,2,5,1,0,1,2,1,1,0,0,0,6,6,14,8,14,5,12,12,4];
  1288. 	paths[1099] = [2,2,4,3,0,1,2,0,1,0,0,0,6,6,14,8,14,5,13,9,7];
  1289. 	paths[1100] = [4,2,5,1,0,1,2,0,1,0,0,0,6,6,14,8,14,5,13,10,5];
  1290. 	paths[1101] = [4,2,5,1,0,1,3,1,1,0,0,0,6,6,14,8,14,5,13,12,3];
  1291. 	paths[1102] = [2,2,4,3,0,1,3,0,1,0,0,0,6,6,14,8,14,5,14,9,6];
  1292. 	paths[1103] = [4,2,5,1,0,1,3,0,1,0,0,0,6,6,14,8,14,5,14,10,4];
  1293. 	paths[1104] = [2,2,5,3,0,1,2,1,1,0,0,0,6,6,14,8,14,5,15,9,5];
  1294. 	paths[1105] = [2,2,5,3,0,1,2,0,1,0,0,0,6,6,14,8,14,5,16,7,6];
  1295. 	paths[1106] = [2,2,5,3,0,1,3,1,1,0,0,0,6,6,14,8,14,5,16,9,4];
  1296. 	paths[1107] = [2,2,5,3,0,1,3,0,1,0,0,0,6,6,14,8,14,5,17,7,5];
  1297. 	paths[1108] = [4,2,5,3,0,1,2,1,1,0,0,0,6,6,14,8,14,5,18,7,4];
  1298. 	paths[1109] = [4,2,5,3,0,1,2,0,1,0,0,0,6,6,14,8,14,5,19,5,5];
  1299. 	paths[1110] = [4,2,5,3,0,1,3,1,1,0,0,0,6,6,14,8,14,5,19,7,3];
  1300. 	paths[1111] = [4,2,5,3,0,1,3,0,1,0,0,0,6,6,14,8,14,5,20,5,4];
  1301. 	paths[1112] = [2,2,4,0,0,2,2,1,1,0,0,0,6,6,14,9,10,7,6,15,8];
  1302. 	paths[1113] = [2,2,4,1,0,2,2,1,1,0,0,0,6,6,14,9,10,7,6,16,6];
  1303. 	paths[1114] = [2,2,4,0,0,2,2,0,1,0,0,0,6,6,14,9,10,7,7,13,9];
  1304. 	paths[1115] = [2,2,4,1,0,2,2,0,1,0,0,0,6,6,14,9,10,7,7,14,7];
  1305. 	paths[1116] = [2,2,4,1,0,2,3,1,1,0,0,0,6,6,14,9,10,7,7,16,5];
  1306. 	paths[1117] = [2,2,4,0,0,2,3,0,1,0,0,0,6,6,14,9,10,7,8,13,8];
  1307. 	paths[1118] = [2,2,4,1,0,2,3,0,1,0,0,0,6,6,14,9,10,7,8,14,6];
  1308. 	paths[1119] = [2,2,4,2,0,2,2,1,1,0,0,0,6,6,14,9,10,7,9,13,7];
  1309. 	paths[1120] = [2,2,5,1,0,2,2,1,1,0,0,0,6,6,14,9,10,7,9,14,5];
  1310. 	paths[1121] = [2,2,4,2,0,2,2,0,1,0,0,0,6,6,14,9,10,7,10,11,8];
  1311. 	paths[1122] = [2,2,5,1,0,2,2,0,1,0,0,0,6,6,14,9,10,7,10,12,6];
  1312. 	paths[1123] = [2,2,5,1,0,2,3,1,1,0,0,0,6,6,14,9,10,7,10,14,4];
  1313. 	paths[1124] = [2,2,4,2,0,2,3,0,1,0,0,0,6,6,14,9,10,7,11,11,7];
  1314. 	paths[1125] = [2,2,5,1,0,2,3,0,1,0,0,0,6,6,14,9,10,7,11,12,5];
  1315. 	paths[1126] = [2,2,4,3,0,2,2,1,1,0,0,0,6,6,14,9,10,7,12,11,6];
  1316. 	paths[1127] = [4,2,5,1,0,2,2,1,1,0,0,0,6,6,14,9,10,7,12,12,4];
  1317. 	paths[1128] = [2,2,4,3,0,2,2,0,1,0,0,0,6,6,14,9,10,7,13,9,7];
  1318. 	paths[1129] = [4,2,5,1,0,2,2,0,1,0,0,0,6,6,14,9,10,7,13,10,5];
  1319. 	paths[1130] = [4,2,5,1,0,2,3,1,1,0,0,0,6,6,14,9,10,7,13,12,3];
  1320. 	paths[1131] = [2,2,4,3,0,2,3,0,1,0,0,0,6,6,14,9,10,7,14,9,6];
  1321. 	paths[1132] = [4,2,5,1,0,2,3,0,1,0,0,0,6,6,14,9,10,7,14,10,4];
  1322. 	paths[1133] = [2,2,5,3,0,2,2,1,1,0,0,0,6,6,14,9,10,7,15,9,5];
  1323. 	paths[1134] = [2,2,5,3,0,2,2,0,1,0,0,0,6,6,14,9,10,7,16,7,6];
  1324. 	paths[1135] = [2,2,5,3,0,2,3,1,1,0,0,0,6,6,14,9,10,7,16,9,4];
  1325. 	paths[1136] = [2,2,5,3,0,2,3,0,1,0,0,0,6,6,14,9,10,7,17,7,5];
  1326. 	paths[1137] = [4,2,5,3,0,2,2,1,1,0,0,0,6,6,14,9,10,7,18,7,4];
  1327. 	paths[1138] = [4,2,5,3,0,2,2,0,1,0,0,0,6,6,14,9,10,7,19,5,5];
  1328. 	paths[1139] = [4,2,5,3,0,2,3,1,1,0,0,0,6,6,14,9,10,7,19,7,3];
  1329. 	paths[1140] = [4,2,5,3,0,2,3,0,1,0,0,0,6,6,14,9,10,7,20,5,4];
  1330. 	paths[1141] = [2,1,1,0,0,3,2,1,1,0,0,0,6,6,14,10,6,11,6,15,8];
  1331. 	paths[1142] = [2,1,1,1,0,3,2,1,1,0,0,0,6,6,14,10,6,11,6,16,6];
  1332. 	paths[1143] = [2,1,1,0,0,3,2,0,1,0,0,0,6,6,14,10,6,11,7,13,9];
  1333. 	paths[1144] = [2,1,1,1,0,3,2,0,1,0,0,0,6,6,14,10,6,11,7,14,7];
  1334. 	paths[1145] = [2,1,1,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,7,16,5];
  1335. 	paths[1146] = [2,1,1,0,0,3,3,0,1,0,0,0,6,6,14,10,6,11,8,13,8];
  1336. 	paths[1147] = [2,1,1,1,0,3,3,0,1,0,0,0,6,6,14,10,6,11,8,14,6];
  1337. 	paths[1148] = [2,1,0,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,8,19,4];
  1338. 	paths[1149] = [2,1,1,2,0,3,2,1,1,0,0,0,6,6,14,10,6,11,9,13,7];
  1339. 	paths[1150] = [2,1,3,1,0,3,2,1,1,0,0,0,6,6,14,10,6,11,9,14,5];
  1340. 	paths[1151] = [2,1,1,2,0,3,2,0,1,0,0,0,6,6,14,10,6,11,10,11,8];
  1341. 	paths[1152] = [2,1,3,1,0,3,2,0,1,0,0,0,6,6,14,10,6,11,10,12,6];
  1342. 	paths[1153] = [2,1,3,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,10,14,4];
  1343. 	paths[1154] = [2,1,1,2,0,3,3,0,1,0,0,0,6,6,14,10,6,11,11,11,7];
  1344. 	paths[1155] = [2,1,3,1,0,3,3,0,1,0,0,0,6,6,14,10,6,11,11,12,5];
  1345. 	paths[1156] = [4,1,0,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,11,17,3];
  1346. 	paths[1157] = [2,1,1,3,0,3,2,1,1,0,0,0,6,6,14,10,6,11,12,11,6];
  1347. 	paths[1158] = [4,1,3,1,0,3,2,1,1,0,0,0,6,6,14,10,6,11,12,12,4];
  1348. 	paths[1159] = [2,1,1,3,0,3,2,0,1,0,0,0,6,6,14,10,6,11,13,9,7];
  1349. 	paths[1160] = [4,1,3,1,0,3,2,0,1,0,0,0,6,6,14,10,6,11,13,10,5];
  1350. 	paths[1161] = [4,1,3,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,13,12,3];
  1351. 	paths[1162] = [2,1,1,3,0,3,3,0,1,0,0,0,6,6,14,10,6,11,14,9,6];
  1352. 	paths[1163] = [4,1,3,1,0,3,3,0,1,0,0,0,6,6,14,10,6,11,14,10,4];
  1353. 	paths[1164] = [2,1,3,3,0,3,2,1,1,0,0,0,6,6,14,10,6,11,15,9,5];
  1354. 	paths[1165] = [2,1,3,3,0,3,2,0,1,0,0,0,6,6,14,10,6,11,16,7,6];
  1355. 	paths[1166] = [2,1,3,3,0,3,3,1,1,0,0,0,6,6,14,10,6,11,16,9,4];
  1356. 	paths[1167] = [2,1,3,3,0,3,3,0,1,0,0,0,6,6,14,10,6,11,17,7,5];
  1357. 	paths[1168] = [4,1,3,3,0,3,2,1,1,0,0,0,6,6,14,10,6,11,18,7,4];
  1358. 	paths[1169] = [4,1,3,3,0,3,2,0,1,0,0,0,6,6,14,10,6,11,19,5,5];
  1359. 	paths[1170] = [4,1,3,3,0,3,3,1,1,0,0,0,6,6,14,10,6,11,19,7,3];
  1360. 	paths[1171] = [4,1,3,3,0,3,3,0,1,0,0,0,6,6,14,10,6,11,20,5,4];
  1361. 	paths[1172] = [0,0,1,0,3,1,2,1,0,0,0,0,6,9,12,2,17,8,5,17,9];
  1362. 	paths[1173] = [0,0,1,1,3,1,2,1,0,0,0,0,6,9,12,2,17,8,5,18,7];
  1363. 	paths[1174] = [1,0,3,3,1,1,2,0,0,0,0,0,6,9,12,2,17,8,22,3,6];
  1364. 	paths[1175] = [1,0,3,3,1,1,3,0,0,0,0,0,6,9,12,2,17,8,23,3,5];
  1365. 	paths[1176] = [2,0,1,0,3,1,2,1,0,0,0,0,6,9,12,3,13,6,5,17,9];
  1366. 	paths[1177] = [2,0,1,1,3,1,2,1,0,0,0,0,6,9,12,3,13,6,5,18,7];
  1367. 	paths[1178] = [4,0,3,3,1,1,2,0,0,0,0,0,6,9,12,3,13,6,22,3,6];
  1368. 	paths[1179] = [4,0,3,3,1,1,3,0,0,0,0,0,6,9,12,3,13,6,23,3,5];
  1369. 	paths[1180] = [2,0,1,0,3,2,2,1,0,0,0,0,6,9,12,4,9,8,5,17,9];
  1370. 	paths[1181] = [2,0,1,1,3,2,2,1,0,0,0,0,6,9,12,4,9,8,5,18,7];
  1371. 	paths[1182] = [4,0,3,3,1,2,2,0,0,0,0,0,6,9,12,4,9,8,22,3,6];
  1372. 	paths[1183] = [4,0,3,3,1,2,3,0,0,0,0,0,6,9,12,4,9,8,23,3,5];
  1373. 	paths[1184] = [2,0,1,0,3,3,2,1,0,0,0,0,6,9,12,5,7,10,5,17,9];
  1374. 	paths[1185] = [2,0,1,1,3,3,2,1,0,0,0,0,6,9,12,5,7,10,5,18,7];
  1375. 	paths[1186] = [4,0,3,3,1,3,2,0,0,0,0,0,6,9,12,5,7,10,22,3,6];
  1376. 	paths[1187] = [4,0,3,3,1,3,3,0,0,0,0,0,6,9,12,5,7,10,23,3,5];
  1377. 	paths[1188] = [2,0,1,0,3,0,2,1,0,0,0,0,6,9,12,5,8,9,5,17,9];
  1378. 	paths[1189] = [2,0,1,1,3,0,2,1,0,0,0,0,6,9,12,5,8,9,5,18,7];
  1379. 	paths[1190] = [4,0,3,3,1,0,2,0,0,0,0,0,6,9,12,5,8,9,22,3,6];
  1380. 	paths[1191] = [4,0,3,3,1,0,3,0,0,0,0,0,6,9,12,5,8,9,23,3,5];
  1381. 	paths[1192] = [2,1,1,0,3,1,0,1,0,0,0,0,6,9,12,8,12,7,5,17,9];
  1382. 	paths[1193] = [2,1,1,1,3,1,0,1,0,0,0,0,6,9,12,8,12,7,5,18,7];
  1383. 	paths[1194] = [4,1,3,3,1,1,0,0,0,0,0,0,6,9,12,8,12,7,22,3,6];
  1384. 	paths[1195] = [4,1,3,3,1,1,1,0,0,0,0,0,6,9,12,8,12,7,23,3,5];
  1385. 	paths[1196] = [2,0,4,0,3,1,2,1,0,0,0,0,6,9,12,8,14,5,5,17,9];
  1386. 	paths[1197] = [2,0,4,1,3,1,2,1,0,0,0,0,6,9,12,8,14,5,5,18,7];
  1387. 	paths[1198] = [4,0,5,3,1,1,2,0,0,0,0,0,6,9,12,8,14,5,22,3,6];
  1388. 	paths[1199] = [4,0,5,3,1,1,3,0,0,0,0,0,6,9,12,8,14,5,23,3,5];
  1389. 	paths[1200] = [2,0,4,0,3,2,2,1,0,0,0,0,6,9,12,9,10,7,5,17,9];
  1390. 	paths[1201] = [2,0,4,1,3,2,2,1,0,0,0,0,6,9,12,9,10,7,5,18,7];
  1391. 	paths[1202] = [4,0,5,3,1,2,2,0,0,0,0,0,6,9,12,9,10,7,22,3,6];
  1392. 	paths[1203] = [4,0,5,3,1,2,3,0,0,0,0,0,6,9,12,9,10,7,23,3,5];
  1393. 	paths[1204] = [2,1,1,0,3,3,0,1,0,0,0,0,6,9,12,10,6,11,5,17,9];
  1394. 	paths[1205] = [2,1,1,1,3,3,0,1,0,0,0,0,6,9,12,10,6,11,5,18,7];
  1395. 	paths[1206] = [4,1,3,3,1,3,0,0,0,0,0,0,6,9,12,10,6,11,22,3,6];
  1396. 	paths[1207] = [4,1,3,3,1,3,1,0,0,0,0,0,6,9,12,10,6,11,23,3,5];
  1397. 	paths[1208] = [0,2,1,0,3,1,4,1,0,0,0,0,6,11,10,2,17,8,5,17,9];
  1398. 	paths[1209] = [0,2,1,1,3,1,4,1,0,0,0,0,6,11,10,2,17,8,5,18,7];
  1399. 	paths[1210] = [0,2,1,0,2,1,4,1,0,0,0,0,6,11,10,2,17,8,6,15,8];
  1400. 	paths[1211] = [0,2,1,1,2,1,4,1,0,0,0,0,6,11,10,2,17,8,6,16,6];
  1401. 	paths[1212] = [0,2,1,0,2,1,4,0,0,0,0,0,6,11,10,2,17,8,7,13,9];
  1402. 	paths[1213] = [0,2,1,1,2,1,4,0,0,0,0,0,6,11,10,2,17,8,7,14,7];
  1403. 	paths[1214] = [0,2,1,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,7,16,5];
  1404. 	paths[1215] = [0,2,1,0,2,1,5,0,0,0,0,0,6,11,10,2,17,8,8,13,8];
  1405. 	paths[1216] = [0,2,1,1,2,1,5,0,0,0,0,0,6,11,10,2,17,8,8,14,6];
  1406. 	paths[1217] = [0,2,0,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,8,19,4];
  1407. 	paths[1218] = [0,2,1,2,2,1,4,1,0,0,0,0,6,11,10,2,17,8,9,13,7];
  1408. 	paths[1219] = [0,2,3,1,2,1,4,1,0,0,0,0,6,11,10,2,17,8,9,14,5];
  1409. 	paths[1220] = [0,2,1,2,2,1,4,0,0,0,0,0,6,11,10,2,17,8,10,11,8];
  1410. 	paths[1221] = [0,2,3,1,2,1,4,0,0,0,0,0,6,11,10,2,17,8,10,12,6];
  1411. 	paths[1222] = [0,2,3,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,10,14,4];
  1412. 	paths[1223] = [0,2,1,2,2,1,5,0,0,0,0,0,6,11,10,2,17,8,11,11,7];
  1413. 	paths[1224] = [0,2,3,1,2,1,5,0,0,0,0,0,6,11,10,2,17,8,11,12,5];
  1414. 	paths[1225] = [1,2,0,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,11,17,3];
  1415. 	paths[1226] = [0,2,1,3,2,1,4,1,0,0,0,0,6,11,10,2,17,8,12,11,6];
  1416. 	paths[1227] = [1,2,3,1,2,1,4,1,0,0,0,0,6,11,10,2,17,8,12,12,4];
  1417. 	paths[1228] = [0,2,1,3,2,1,4,0,0,0,0,0,6,11,10,2,17,8,13,9,7];
  1418. 	paths[1229] = [1,2,3,1,2,1,4,0,0,0,0,0,6,11,10,2,17,8,13,10,5];
  1419. 	paths[1230] = [1,2,3,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,13,12,3];
  1420. 	paths[1231] = [0,2,1,3,2,1,5,0,0,0,0,0,6,11,10,2,17,8,14,9,6];
  1421. 	paths[1232] = [1,2,3,1,2,1,5,0,0,0,0,0,6,11,10,2,17,8,14,10,4];
  1422. 	paths[1233] = [0,2,3,3,2,1,4,1,0,0,0,0,6,11,10,2,17,8,15,9,5];
  1423. 	paths[1234] = [0,2,3,3,2,1,4,0,0,0,0,0,6,11,10,2,17,8,16,7,6];
  1424. 	paths[1235] = [0,2,3,3,2,1,5,1,0,0,0,0,6,11,10,2,17,8,16,9,4];
  1425. 	paths[1236] = [0,2,3,3,2,1,5,0,0,0,0,0,6,11,10,2,17,8,17,7,5];
  1426. 	paths[1237] = [1,2,3,3,2,1,4,1,0,0,0,0,6,11,10,2,17,8,18,7,4];
  1427. 	paths[1238] = [1,2,3,3,2,1,4,0,0,0,0,0,6,11,10,2,17,8,19,5,5];
  1428. 	paths[1239] = [1,2,3,3,2,1,5,1,0,0,0,0,6,11,10,2,17,8,19,7,3];
  1429. 	paths[1240] = [1,2,3,3,2,1,5,0,0,0,0,0,6,11,10,2,17,8,20,5,4];
  1430. 	paths[1241] = [1,2,3,3,1,1,4,0,0,0,0,0,6,11,10,2,17,8,22,3,6];
  1431. 	paths[1242] = [1,2,3,3,1,1,5,0,0,0,0,0,6,11,10,2,17,8,23,3,5];
  1432. 	paths[1243] = [2,2,1,0,3,1,4,1,0,0,0,0,6,11,10,3,13,6,5,17,9];
  1433. 	paths[1244] = [2,2,1,1,3,1,4,1,0,0,0,0,6,11,10,3,13,6,5,18,7];
  1434. 	paths[1245] = [2,2,1,0,2,1,4,1,0,0,0,0,6,11,10,3,13,6,6,15,8];
  1435. 	paths[1246] = [2,2,1,1,2,1,4,1,0,0,0,0,6,11,10,3,13,6,6,16,6];
  1436. 	paths[1247] = [2,2,1,0,2,1,4,0,0,0,0,0,6,11,10,3,13,6,7,13,9];
  1437. 	paths[1248] = [2,2,1,1,2,1,4,0,0,0,0,0,6,11,10,3,13,6,7,14,7];
  1438. 	paths[1249] = [2,2,1,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,7,16,5];
  1439. 	paths[1250] = [2,2,1,0,2,1,5,0,0,0,0,0,6,11,10,3,13,6,8,13,8];
  1440. 	paths[1251] = [2,2,1,1,2,1,5,0,0,0,0,0,6,11,10,3,13,6,8,14,6];
  1441. 	paths[1252] = [2,2,0,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,8,19,4];
  1442. 	paths[1253] = [2,2,1,2,2,1,4,1,0,0,0,0,6,11,10,3,13,6,9,13,7];
  1443. 	paths[1254] = [2,2,3,1,2,1,4,1,0,0,0,0,6,11,10,3,13,6,9,14,5];
  1444. 	paths[1255] = [2,2,1,2,2,1,4,0,0,0,0,0,6,11,10,3,13,6,10,11,8];
  1445. 	paths[1256] = [2,2,3,1,2,1,4,0,0,0,0,0,6,11,10,3,13,6,10,12,6];
  1446. 	paths[1257] = [2,2,3,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,10,14,4];
  1447. 	paths[1258] = [2,2,1,2,2,1,5,0,0,0,0,0,6,11,10,3,13,6,11,11,7];
  1448. 	paths[1259] = [2,2,3,1,2,1,5,0,0,0,0,0,6,11,10,3,13,6,11,12,5];
  1449. 	paths[1260] = [4,2,0,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,11,17,3];
  1450. 	paths[1261] = [2,2,1,3,2,1,4,1,0,0,0,0,6,11,10,3,13,6,12,11,6];
  1451. 	paths[1262] = [4,2,3,1,2,1,4,1,0,0,0,0,6,11,10,3,13,6,12,12,4];
  1452. 	paths[1263] = [2,2,1,3,2,1,4,0,0,0,0,0,6,11,10,3,13,6,13,9,7];
  1453. 	paths[1264] = [4,2,3,1,2,1,4,0,0,0,0,0,6,11,10,3,13,6,13,10,5];
  1454. 	paths[1265] = [4,2,3,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,13,12,3];
  1455. 	paths[1266] = [2,2,1,3,2,1,5,0,0,0,0,0,6,11,10,3,13,6,14,9,6];
  1456. 	paths[1267] = [4,2,3,1,2,1,5,0,0,0,0,0,6,11,10,3,13,6,14,10,4];
  1457. 	paths[1268] = [2,2,3,3,2,1,4,1,0,0,0,0,6,11,10,3,13,6,15,9,5];
  1458. 	paths[1269] = [2,2,3,3,2,1,4,0,0,0,0,0,6,11,10,3,13,6,16,7,6];
  1459. 	paths[1270] = [2,2,3,3,2,1,5,1,0,0,0,0,6,11,10,3,13,6,16,9,4];
  1460. 	paths[1271] = [2,2,3,3,2,1,5,0,0,0,0,0,6,11,10,3,13,6,17,7,5];
  1461. 	paths[1272] = [4,2,3,3,2,1,4,1,0,0,0,0,6,11,10,3,13,6,18,7,4];
  1462. 	paths[1273] = [4,2,3,3,2,1,4,0,0,0,0,0,6,11,10,3,13,6,19,5,5];
  1463. 	paths[1274] = [4,2,3,3,2,1,5,1,0,0,0,0,6,11,10,3,13,6,19,7,3];
  1464. 	paths[1275] = [4,2,3,3,2,1,5,0,0,0,0,0,6,11,10,3,13,6,20,5,4];
  1465. 	paths[1276] = [4,2,3,3,1,1,4,0,0,0,0,0,6,11,10,3,13,6,22,3,6];
  1466. 	paths[1277] = [4,2,3,3,1,1,5,0,0,0,0,0,6,11,10,3,13,6,23,3,5];
  1467. 	paths[1278] = [2,2,1,0,3,2,4,1,0,0,0,0,6,11,10,4,9,8,5,17,9];
  1468. 	paths[1279] = [2,2,1,1,3,2,4,1,0,0,0,0,6,11,10,4,9,8,5,18,7];
  1469. 	paths[1280] = [2,2,1,0,2,2,4,1,0,0,0,0,6,11,10,4,9,8,6,15,8];
  1470. 	paths[1281] = [2,2,1,1,2,2,4,1,0,0,0,0,6,11,10,4,9,8,6,16,6];
  1471. 	paths[1282] = [2,2,1,0,2,2,4,0,0,0,0,0,6,11,10,4,9,8,7,13,9];
  1472. 	paths[1283] = [2,2,1,1,2,2,4,0,0,0,0,0,6,11,10,4,9,8,7,14,7];
  1473. 	paths[1284] = [2,2,1,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,7,16,5];
  1474. 	paths[1285] = [2,2,1,0,2,2,5,0,0,0,0,0,6,11,10,4,9,8,8,13,8];
  1475. 	paths[1286] = [2,2,1,1,2,2,5,0,0,0,0,0,6,11,10,4,9,8,8,14,6];
  1476. 	paths[1287] = [2,2,0,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,8,19,4];
  1477. 	paths[1288] = [2,2,1,2,2,2,4,1,0,0,0,0,6,11,10,4,9,8,9,13,7];
  1478. 	paths[1289] = [2,2,3,1,2,2,4,1,0,0,0,0,6,11,10,4,9,8,9,14,5];
  1479. 	paths[1290] = [2,2,1,2,2,2,4,0,0,0,0,0,6,11,10,4,9,8,10,11,8];
  1480. 	paths[1291] = [2,2,3,1,2,2,4,0,0,0,0,0,6,11,10,4,9,8,10,12,6];
  1481. 	paths[1292] = [2,2,3,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,10,14,4];
  1482. 	paths[1293] = [2,2,1,2,2,2,5,0,0,0,0,0,6,11,10,4,9,8,11,11,7];
  1483. 	paths[1294] = [2,2,3,1,2,2,5,0,0,0,0,0,6,11,10,4,9,8,11,12,5];
  1484. 	paths[1295] = [4,2,0,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,11,17,3];
  1485. 	paths[1296] = [2,2,1,3,2,2,4,1,0,0,0,0,6,11,10,4,9,8,12,11,6];
  1486. 	paths[1297] = [4,2,3,1,2,2,4,1,0,0,0,0,6,11,10,4,9,8,12,12,4];
  1487. 	paths[1298] = [2,2,1,3,2,2,4,0,0,0,0,0,6,11,10,4,9,8,13,9,7];
  1488. 	paths[1299] = [4,2,3,1,2,2,4,0,0,0,0,0,6,11,10,4,9,8,13,10,5];
  1489. 	paths[1300] = [4,2,3,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,13,12,3];
  1490. 	paths[1301] = [2,2,1,3,2,2,5,0,0,0,0,0,6,11,10,4,9,8,14,9,6];
  1491. 	paths[1302] = [4,2,3,1,2,2,5,0,0,0,0,0,6,11,10,4,9,8,14,10,4];
  1492. 	paths[1303] = [2,2,3,3,2,2,4,1,0,0,0,0,6,11,10,4,9,8,15,9,5];
  1493. 	paths[1304] = [2,2,3,3,2,2,4,0,0,0,0,0,6,11,10,4,9,8,16,7,6];
  1494. 	paths[1305] = [2,2,3,3,2,2,5,1,0,0,0,0,6,11,10,4,9,8,16,9,4];
  1495. 	paths[1306] = [2,2,3,3,2,2,5,0,0,0,0,0,6,11,10,4,9,8,17,7,5];
  1496. 	paths[1307] = [4,2,3,3,2,2,4,1,0,0,0,0,6,11,10,4,9,8,18,7,4];
  1497. 	paths[1308] = [4,2,3,3,2,2,4,0,0,0,0,0,6,11,10,4,9,8,19,5,5];
  1498. 	paths[1309] = [4,2,3,3,2,2,5,1,0,0,0,0,6,11,10,4,9,8,19,7,3];
  1499. 	paths[1310] = [4,2,3,3,2,2,5,0,0,0,0,0,6,11,10,4,9,8,20,5,4];
  1500. 	paths[1311] = [4,2,3,3,1,2,4,0,0,0,0,0,6,11,10,4,9,8,22,3,6];
  1501. 	paths[1312] = [4,2,3,3,1,2,5,0,0,0,0,0,6,11,10,4,9,8,23,3,5];
  1502. 	paths[1313] = [2,2,1,0,3,3,4,1,0,0,0,0,6,11,10,5,7,10,5,17,9];
  1503. 	paths[1314] = [2,2,1,1,3,3,4,1,0,0,0,0,6,11,10,5,7,10,5,18,7];
  1504. 	paths[1315] = [2,2,1,0,2,3,4,1,0,0,0,0,6,11,10,5,7,10,6,15,8];
  1505. 	paths[1316] = [2,2,1,1,2,3,4,1,0,0,0,0,6,11,10,5,7,10,6,16,6];
  1506. 	paths[1317] = [2,2,1,0,2,3,4,0,0,0,0,0,6,11,10,5,7,10,7,13,9];
  1507. 	paths[1318] = [2,2,1,1,2,3,4,0,0,0,0,0,6,11,10,5,7,10,7,14,7];
  1508. 	paths[1319] = [2,2,1,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,7,16,5];
  1509. 	paths[1320] = [2,2,1,0,2,3,5,0,0,0,0,0,6,11,10,5,7,10,8,13,8];
  1510. 	paths[1321] = [2,2,1,1,2,3,5,0,0,0,0,0,6,11,10,5,7,10,8,14,6];
  1511. 	paths[1322] = [2,2,0,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,8,19,4];
  1512. 	paths[1323] = [2,2,1,2,2,3,4,1,0,0,0,0,6,11,10,5,7,10,9,13,7];
  1513. 	paths[1324] = [2,2,3,1,2,3,4,1,0,0,0,0,6,11,10,5,7,10,9,14,5];
  1514. 	paths[1325] = [2,2,1,2,2,3,4,0,0,0,0,0,6,11,10,5,7,10,10,11,8];
  1515. 	paths[1326] = [2,2,3,1,2,3,4,0,0,0,0,0,6,11,10,5,7,10,10,12,6];
  1516. 	paths[1327] = [2,2,3,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,10,14,4];
  1517. 	paths[1328] = [2,2,1,2,2,3,5,0,0,0,0,0,6,11,10,5,7,10,11,11,7];
  1518. 	paths[1329] = [2,2,3,1,2,3,5,0,0,0,0,0,6,11,10,5,7,10,11,12,5];
  1519. 	paths[1330] = [4,2,0,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,11,17,3];
  1520. 	paths[1331] = [2,2,1,3,2,3,4,1,0,0,0,0,6,11,10,5,7,10,12,11,6];
  1521. 	paths[1332] = [4,2,3,1,2,3,4,1,0,0,0,0,6,11,10,5,7,10,12,12,4];
  1522. 	paths[1333] = [2,2,1,3,2,3,4,0,0,0,0,0,6,11,10,5,7,10,13,9,7];
  1523. 	paths[1334] = [4,2,3,1,2,3,4,0,0,0,0,0,6,11,10,5,7,10,13,10,5];
  1524. 	paths[1335] = [4,2,3,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,13,12,3];
  1525. 	paths[1336] = [2,2,1,3,2,3,5,0,0,0,0,0,6,11,10,5,7,10,14,9,6];
  1526. 	paths[1337] = [4,2,3,1,2,3,5,0,0,0,0,0,6,11,10,5,7,10,14,10,4];
  1527. 	paths[1338] = [2,2,3,3,2,3,4,1,0,0,0,0,6,11,10,5,7,10,15,9,5];
  1528. 	paths[1339] = [2,2,3,3,2,3,4,0,0,0,0,0,6,11,10,5,7,10,16,7,6];
  1529. 	paths[1340] = [2,2,3,3,2,3,5,1,0,0,0,0,6,11,10,5,7,10,16,9,4];
  1530. 	paths[1341] = [2,2,3,3,2,3,5,0,0,0,0,0,6,11,10,5,7,10,17,7,5];
  1531. 	paths[1342] = [4,2,3,3,2,3,4,1,0,0,0,0,6,11,10,5,7,10,18,7,4];
  1532. 	paths[1343] = [4,2,3,3,2,3,4,0,0,0,0,0,6,11,10,5,7,10,19,5,5];
  1533. 	paths[1344] = [4,2,3,3,2,3,5,1,0,0,0,0,6,11,10,5,7,10,19,7,3];
  1534. 	paths[1345] = [4,2,3,3,2,3,5,0,0,0,0,0,6,11,10,5,7,10,20,5,4];
  1535. 	paths[1346] = [4,2,3,3,1,3,4,0,0,0,0,0,6,11,10,5,7,10,22,3,6];
  1536. 	paths[1347] = [4,2,3,3,1,3,5,0,0,0,0,0,6,11,10,5,7,10,23,3,5];
  1537. 	paths[1348] = [2,2,1,0,3,0,4,1,0,0,0,0,6,11,10,5,8,9,5,17,9];
  1538. 	paths[1349] = [2,2,1,1,3,0,4,1,0,0,0,0,6,11,10,5,8,9,5,18,7];
  1539. 	paths[1350] = [2,2,1,0,2,0,4,1,0,0,0,0,6,11,10,5,8,9,6,15,8];
  1540. 	paths[1351] = [2,2,1,1,2,0,4,1,0,0,0,0,6,11,10,5,8,9,6,16,6];
  1541. 	paths[1352] = [2,2,1,0,2,0,4,0,0,0,0,0,6,11,10,5,8,9,7,13,9];
  1542. 	paths[1353] = [2,2,1,1,2,0,4,0,0,0,0,0,6,11,10,5,8,9,7,14,7];
  1543. 	paths[1354] = [2,2,1,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,7,16,5];
  1544. 	paths[1355] = [2,2,1,0,2,0,5,0,0,0,0,0,6,11,10,5,8,9,8,13,8];
  1545. 	paths[1356] = [2,2,1,1,2,0,5,0,0,0,0,0,6,11,10,5,8,9,8,14,6];
  1546. 	paths[1357] = [2,2,0,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,8,19,4];
  1547. 	paths[1358] = [2,2,1,2,2,0,4,1,0,0,0,0,6,11,10,5,8,9,9,13,7];
  1548. 	paths[1359] = [2,2,3,1,2,0,4,1,0,0,0,0,6,11,10,5,8,9,9,14,5];
  1549. 	paths[1360] = [2,2,1,2,2,0,4,0,0,0,0,0,6,11,10,5,8,9,10,11,8];
  1550. 	paths[1361] = [2,2,3,1,2,0,4,0,0,0,0,0,6,11,10,5,8,9,10,12,6];
  1551. 	paths[1362] = [2,2,3,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,10,14,4];
  1552. 	paths[1363] = [2,2,1,2,2,0,5,0,0,0,0,0,6,11,10,5,8,9,11,11,7];
  1553. 	paths[1364] = [2,2,3,1,2,0,5,0,0,0,0,0,6,11,10,5,8,9,11,12,5];
  1554. 	paths[1365] = [4,2,0,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,11,17,3];
  1555. 	paths[1366] = [2,2,1,3,2,0,4,1,0,0,0,0,6,11,10,5,8,9,12,11,6];
  1556. 	paths[1367] = [4,2,3,1,2,0,4,1,0,0,0,0,6,11,10,5,8,9,12,12,4];
  1557. 	paths[1368] = [2,2,1,3,2,0,4,0,0,0,0,0,6,11,10,5,8,9,13,9,7];
  1558. 	paths[1369] = [4,2,3,1,2,0,4,0,0,0,0,0,6,11,10,5,8,9,13,10,5];
  1559. 	paths[1370] = [4,2,3,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,13,12,3];
  1560. 	paths[1371] = [2,2,1,3,2,0,5,0,0,0,0,0,6,11,10,5,8,9,14,9,6];
  1561. 	paths[1372] = [4,2,3,1,2,0,5,0,0,0,0,0,6,11,10,5,8,9,14,10,4];
  1562. 	paths[1373] = [2,2,3,3,2,0,4,1,0,0,0,0,6,11,10,5,8,9,15,9,5];
  1563. 	paths[1374] = [2,2,3,3,2,0,4,0,0,0,0,0,6,11,10,5,8,9,16,7,6];
  1564. 	paths[1375] = [2,2,3,3,2,0,5,1,0,0,0,0,6,11,10,5,8,9,16,9,4];
  1565. 	paths[1376] = [2,2,3,3,2,0,5,0,0,0,0,0,6,11,10,5,8,9,17,7,5];
  1566. 	paths[1377] = [4,2,3,3,2,0,4,1,0,0,0,0,6,11,10,5,8,9,18,7,4];
  1567. 	paths[1378] = [4,2,3,3,2,0,4,0,0,0,0,0,6,11,10,5,8,9,19,5,5];
  1568. 	paths[1379] = [4,2,3,3,2,0,5,1,0,0,0,0,6,11,10,5,8,9,19,7,3];
  1569. 	paths[1380] = [4,2,3,3,2,0,5,0,0,0,0,0,6,11,10,5,8,9,20,5,4];
  1570. 	paths[1381] = [4,2,3,3,1,0,4,0,0,0,0,0,6,11,10,5,8,9,22,3,6];
  1571. 	paths[1382] = [4,2,3,3,1,0,5,0,0,0,0,0,6,11,10,5,8,9,23,3,5];
  1572. 	paths[1383] = [2,1,1,0,3,1,4,1,0,0,0,0,6,11,10,8,12,7,5,17,9];
  1573. 	paths[1384] = [2,1,1,1,3,1,4,1,0,0,0,0,6,11,10,8,12,7,5,18,7];
  1574. 	paths[1385] = [2,1,1,0,2,1,4,1,0,0,0,0,6,11,10,8,12,7,6,15,8];
  1575. 	paths[1386] = [2,1,1,1,2,1,4,1,0,0,0,0,6,11,10,8,12,7,6,16,6];
  1576. 	paths[1387] = [2,1,1,0,2,1,4,0,0,0,0,0,6,11,10,8,12,7,7,13,9];
  1577. 	paths[1388] = [2,1,1,1,2,1,4,0,0,0,0,0,6,11,10,8,12,7,7,14,7];
  1578. 	paths[1389] = [2,1,1,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,7,16,5];
  1579. 	paths[1390] = [2,1,1,0,2,1,5,0,0,0,0,0,6,11,10,8,12,7,8,13,8];
  1580. 	paths[1391] = [2,1,1,1,2,1,5,0,0,0,0,0,6,11,10,8,12,7,8,14,6];
  1581. 	paths[1392] = [2,1,0,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,8,19,4];
  1582. 	paths[1393] = [2,1,1,2,2,1,4,1,0,0,0,0,6,11,10,8,12,7,9,13,7];
  1583. 	paths[1394] = [2,1,3,1,2,1,4,1,0,0,0,0,6,11,10,8,12,7,9,14,5];
  1584. 	paths[1395] = [2,1,1,2,2,1,4,0,0,0,0,0,6,11,10,8,12,7,10,11,8];
  1585. 	paths[1396] = [2,1,3,1,2,1,4,0,0,0,0,0,6,11,10,8,12,7,10,12,6];
  1586. 	paths[1397] = [2,1,3,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,10,14,4];
  1587. 	paths[1398] = [2,1,1,2,2,1,5,0,0,0,0,0,6,11,10,8,12,7,11,11,7];
  1588. 	paths[1399] = [2,1,3,1,2,1,5,0,0,0,0,0,6,11,10,8,12,7,11,12,5];
  1589. 	paths[1400] = [4,1,0,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,11,17,3];
  1590. 	paths[1401] = [2,1,1,3,2,1,4,1,0,0,0,0,6,11,10,8,12,7,12,11,6];
  1591. 	paths[1402] = [4,1,3,1,2,1,4,1,0,0,0,0,6,11,10,8,12,7,12,12,4];
  1592. 	paths[1403] = [2,1,1,3,2,1,4,0,0,0,0,0,6,11,10,8,12,7,13,9,7];
  1593. 	paths[1404] = [4,1,3,1,2,1,4,0,0,0,0,0,6,11,10,8,12,7,13,10,5];
  1594. 	paths[1405] = [4,1,3,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,13,12,3];
  1595. 	paths[1406] = [2,1,1,3,2,1,5,0,0,0,0,0,6,11,10,8,12,7,14,9,6];
  1596. 	paths[1407] = [4,1,3,1,2,1,5,0,0,0,0,0,6,11,10,8,12,7,14,10,4];
  1597. 	paths[1408] = [2,1,3,3,2,1,4,1,0,0,0,0,6,11,10,8,12,7,15,9,5];
  1598. 	paths[1409] = [2,1,3,3,2,1,4,0,0,0,0,0,6,11,10,8,12,7,16,7,6];
  1599. 	paths[1410] = [2,1,3,3,2,1,5,1,0,0,0,0,6,11,10,8,12,7,16,9,4];
  1600. 	paths[1411] = [2,1,3,3,2,1,5,0,0,0,0,0,6,11,10,8,12,7,17,7,5];
  1601. 	paths[1412] = [4,1,3,3,2,1,4,1,0,0,0,0,6,11,10,8,12,7,18,7,4];
  1602. 	paths[1413] = [4,1,3,3,2,1,4,0,0,0,0,0,6,11,10,8,12,7,19,5,5];
  1603. 	paths[1414] = [4,1,3,3,2,1,5,1,0,0,0,0,6,11,10,8,12,7,19,7,3];
  1604. 	paths[1415] = [4,1,3,3,2,1,5,0,0,0,0,0,6,11,10,8,12,7,20,5,4];
  1605. 	paths[1416] = [4,1,3,3,1,1,4,0,0,0,0,0,6,11,10,8,12,7,22,3,6];
  1606. 	paths[1417] = [4,1,3,3,1,1,5,0,0,0,0,0,6,11,10,8,12,7,23,3,5];
  1607. 	paths[1418] = [2,2,4,0,3,1,4,1,0,0,0,0,6,11,10,8,14,5,5,17,9];
  1608. 	paths[1419] = [2,2,4,1,3,1,4,1,0,0,0,0,6,11,10,8,14,5,5,18,7];
  1609. 	paths[1420] = [2,2,4,0,2,1,4,1,0,0,0,0,6,11,10,8,14,5,6,15,8];
  1610. 	paths[1421] = [2,2,4,1,2,1,4,1,0,0,0,0,6,11,10,8,14,5,6,16,6];
  1611. 	paths[1422] = [2,2,4,0,2,1,4,0,0,0,0,0,6,11,10,8,14,5,7,13,9];
  1612. 	paths[1423] = [2,2,4,1,2,1,4,0,0,0,0,0,6,11,10,8,14,5,7,14,7];
  1613. 	paths[1424] = [2,2,4,1,2,1,5,1,0,0,0,0,6,11,10,8,14,5,7,16,5];
  1614. 	paths[1425] = [2,2,4,0,2,1,5,0,0,0,0,0,6,11,10,8,14,5,8,13,8];
  1615. 	paths[1426] = [2,2,4,1,2,1,5,0,0,0,0,0,6,11,10,8,14,5,8,14,6];
  1616. 	paths[1427] = [2,2,4,2,2,1,4,1,0,0,0,0,6,11,10,8,14,5,9,13,7];
  1617. 	paths[1428] = [2,2,5,1,2,1,4,1,0,0,0,0,6,11,10,8,14,5,9,14,5];
  1618. 	paths[1429] = [2,2,4,2,2,1,4,0,0,0,0,0,6,11,10,8,14,5,10,11,8];
  1619. 	paths[1430] = [2,2,5,1,2,1,4,0,0,0,0,0,6,11,10,8,14,5,10,12,6];
  1620. 	paths[1431] = [2,2,5,1,2,1,5,1,0,0,0,0,6,11,10,8,14,5,10,14,4];
  1621. 	paths[1432] = [2,2,4,2,2,1,5,0,0,0,0,0,6,11,10,8,14,5,11,11,7];
  1622. 	paths[1433] = [2,2,5,1,2,1,5,0,0,0,0,0,6,11,10,8,14,5,11,12,5];
  1623. 	paths[1434] = [2,2,4,3,2,1,4,1,0,0,0,0,6,11,10,8,14,5,12,11,6];
  1624. 	paths[1435] = [4,2,5,1,2,1,4,1,0,0,0,0,6,11,10,8,14,5,12,12,4];
  1625. 	paths[1436] = [2,2,4,3,2,1,4,0,0,0,0,0,6,11,10,8,14,5,13,9,7];
  1626. 	paths[1437] = [4,2,5,1,2,1,4,0,0,0,0,0,6,11,10,8,14,5,13,10,5];
  1627. 	paths[1438] = [4,2,5,1,2,1,5,1,0,0,0,0,6,11,10,8,14,5,13,12,3];
  1628. 	paths[1439] = [2,2,4,3,2,1,5,0,0,0,0,0,6,11,10,8,14,5,14,9,6];
  1629. 	paths[1440] = [4,2,5,1,2,1,5,0,0,0,0,0,6,11,10,8,14,5,14,10,4];
  1630. 	paths[1441] = [2,2,5,3,2,1,4,1,0,0,0,0,6,11,10,8,14,5,15,9,5];
  1631. 	paths[1442] = [2,2,5,3,2,1,4,0,0,0,0,0,6,11,10,8,14,5,16,7,6];
  1632. 	paths[1443] = [2,2,5,3,2,1,5,1,0,0,0,0,6,11,10,8,14,5,16,9,4];
  1633. 	paths[1444] = [2,2,5,3,2,1,5,0,0,0,0,0,6,11,10,8,14,5,17,7,5];
  1634. 	paths[1445] = [4,2,5,3,2,1,4,1,0,0,0,0,6,11,10,8,14,5,18,7,4];
  1635. 	paths[1446] = [4,2,5,3,2,1,4,0,0,0,0,0,6,11,10,8,14,5,19,5,5];
  1636. 	paths[1447] = [4,2,5,3,2,1,5,1,0,0,0,0,6,11,10,8,14,5,19,7,3];
  1637. 	paths[1448] = [4,2,5,3,2,1,5,0,0,0,0,0,6,11,10,8,14,5,20,5,4];
  1638. 	paths[1449] = [4,2,5,3,1,1,4,0,0,0,0,0,6,11,10,8,14,5,22,3,6];
  1639. 	paths[1450] = [4,2,5,3,1,1,5,0,0,0,0,0,6,11,10,8,14,5,23,3,5];
  1640. 	paths[1451] = [2,2,4,0,3,2,4,1,0,0,0,0,6,11,10,9,10,7,5,17,9];
  1641. 	paths[1452] = [2,2,4,1,3,2,4,1,0,0,0,0,6,11,10,9,10,7,5,18,7];
  1642. 	paths[1453] = [2,2,4,0,2,2,4,1,0,0,0,0,6,11,10,9,10,7,6,15,8];
  1643. 	paths[1454] = [2,2,4,1,2,2,4,1,0,0,0,0,6,11,10,9,10,7,6,16,6];
  1644. 	paths[1455] = [2,2,4,0,2,2,4,0,0,0,0,0,6,11,10,9,10,7,7,13,9];
  1645. 	paths[1456] = [2,2,4,1,2,2,4,0,0,0,0,0,6,11,10,9,10,7,7,14,7];
  1646. 	paths[1457] = [2,2,4,1,2,2,5,1,0,0,0,0,6,11,10,9,10,7,7,16,5];
  1647. 	paths[1458] = [2,2,4,0,2,2,5,0,0,0,0,0,6,11,10,9,10,7,8,13,8];
  1648. 	paths[1459] = [2,2,4,1,2,2,5,0,0,0,0,0,6,11,10,9,10,7,8,14,6];
  1649. 	paths[1460] = [2,2,4,2,2,2,4,1,0,0,0,0,6,11,10,9,10,7,9,13,7];
  1650. 	paths[1461] = [2,2,5,1,2,2,4,1,0,0,0,0,6,11,10,9,10,7,9,14,5];
  1651. 	paths[1462] = [2,2,4,2,2,2,4,0,0,0,0,0,6,11,10,9,10,7,10,11,8];
  1652. 	paths[1463] = [2,2,5,1,2,2,4,0,0,0,0,0,6,11,10,9,10,7,10,12,6];
  1653. 	paths[1464] = [2,2,5,1,2,2,5,1,0,0,0,0,6,11,10,9,10,7,10,14,4];
  1654. 	paths[1465] = [2,2,4,2,2,2,5,0,0,0,0,0,6,11,10,9,10,7,11,11,7];
  1655. 	paths[1466] = [2,2,5,1,2,2,5,0,0,0,0,0,6,11,10,9,10,7,11,12,5];
  1656. 	paths[1467] = [2,2,4,3,2,2,4,1,0,0,0,0,6,11,10,9,10,7,12,11,6];
  1657. 	paths[1468] = [4,2,5,1,2,2,4,1,0,0,0,0,6,11,10,9,10,7,12,12,4];
  1658. 	paths[1469] = [2,2,4,3,2,2,4,0,0,0,0,0,6,11,10,9,10,7,13,9,7];
  1659. 	paths[1470] = [4,2,5,1,2,2,4,0,0,0,0,0,6,11,10,9,10,7,13,10,5];
  1660. 	paths[1471] = [4,2,5,1,2,2,5,1,0,0,0,0,6,11,10,9,10,7,13,12,3];
  1661. 	paths[1472] = [2,2,4,3,2,2,5,0,0,0,0,0,6,11,10,9,10,7,14,9,6];
  1662. 	paths[1473] = [4,2,5,1,2,2,5,0,0,0,0,0,6,11,10,9,10,7,14,10,4];
  1663. 	paths[1474] = [2,2,5,3,2,2,4,1,0,0,0,0,6,11,10,9,10,7,15,9,5];
  1664. 	paths[1475] = [2,2,5,3,2,2,4,0,0,0,0,0,6,11,10,9,10,7,16,7,6];
  1665. 	paths[1476] = [2,2,5,3,2,2,5,1,0,0,0,0,6,11,10,9,10,7,16,9,4];
  1666. 	paths[1477] = [2,2,5,3,2,2,5,0,0,0,0,0,6,11,10,9,10,7,17,7,5];
  1667. 	paths[1478] = [4,2,5,3,2,2,4,1,0,0,0,0,6,11,10,9,10,7,18,7,4];
  1668. 	paths[1479] = [4,2,5,3,2,2,4,0,0,0,0,0,6,11,10,9,10,7,19,5,5];
  1669. 	paths[1480] = [4,2,5,3,2,2,5,1,0,0,0,0,6,11,10,9,10,7,19,7,3];
  1670. 	paths[1481] = [4,2,5,3,2,2,5,0,0,0,0,0,6,11,10,9,10,7,20,5,4];
  1671. 	paths[1482] = [4,2,5,3,1,2,4,0,0,0,0,0,6,11,10,9,10,7,22,3,6];
  1672. 	paths[1483] = [4,2,5,3,1,2,5,0,0,0,0,0,6,11,10,9,10,7,23,3,5];
  1673. 	paths[1484] = [2,1,1,0,3,3,4,1,0,0,0,0,6,11,10,10,6,11,5,17,9];
  1674. 	paths[1485] = [2,1,1,1,3,3,4,1,0,0,0,0,6,11,10,10,6,11,5,18,7];
  1675. 	paths[1486] = [2,1,1,0,2,3,4,1,0,0,0,0,6,11,10,10,6,11,6,15,8];
  1676. 	paths[1487] = [2,1,1,1,2,3,4,1,0,0,0,0,6,11,10,10,6,11,6,16,6];
  1677. 	paths[1488] = [2,1,1,0,2,3,4,0,0,0,0,0,6,11,10,10,6,11,7,13,9];
  1678. 	paths[1489] = [2,1,1,1,2,3,4,0,0,0,0,0,6,11,10,10,6,11,7,14,7];
  1679. 	paths[1490] = [2,1,1,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,7,16,5];
  1680. 	paths[1491] = [2,1,1,0,2,3,5,0,0,0,0,0,6,11,10,10,6,11,8,13,8];
  1681. 	paths[1492] = [2,1,1,1,2,3,5,0,0,0,0,0,6,11,10,10,6,11,8,14,6];
  1682. 	paths[1493] = [2,1,0,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,8,19,4];
  1683. 	paths[1494] = [2,1,1,2,2,3,4,1,0,0,0,0,6,11,10,10,6,11,9,13,7];
  1684. 	paths[1495] = [2,1,3,1,2,3,4,1,0,0,0,0,6,11,10,10,6,11,9,14,5];
  1685. 	paths[1496] = [2,1,1,2,2,3,4,0,0,0,0,0,6,11,10,10,6,11,10,11,8];
  1686. 	paths[1497] = [2,1,3,1,2,3,4,0,0,0,0,0,6,11,10,10,6,11,10,12,6];
  1687. 	paths[1498] = [2,1,3,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,10,14,4];
  1688. 	paths[1499] = [2,1,1,2,2,3,5,0,0,0,0,0,6,11,10,10,6,11,11,11,7];
  1689. 	paths[1500] = [2,1,3,1,2,3,5,0,0,0,0,0,6,11,10,10,6,11,11,12,5];
  1690. 	paths[1501] = [4,1,0,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,11,17,3];
  1691. 	paths[1502] = [2,1,1,3,2,3,4,1,0,0,0,0,6,11,10,10,6,11,12,11,6];
  1692. 	paths[1503] = [4,1,3,1,2,3,4,1,0,0,0,0,6,11,10,10,6,11,12,12,4];
  1693. 	paths[1504] = [2,1,1,3,2,3,4,0,0,0,0,0,6,11,10,10,6,11,13,9,7];
  1694. 	paths[1505] = [4,1,3,1,2,3,4,0,0,0,0,0,6,11,10,10,6,11,13,10,5];
  1695. 	paths[1506] = [4,1,3,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,13,12,3];
  1696. 	paths[1507] = [2,1,1,3,2,3,5,0,0,0,0,0,6,11,10,10,6,11,14,9,6];
  1697. 	paths[1508] = [4,1,3,1,2,3,5,0,0,0,0,0,6,11,10,10,6,11,14,10,4];
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  1699. 	paths[1510] = [2,1,3,3,2,3,4,0,0,0,0,0,6,11,10,10,6,11,16,7,6];
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  1701. 	paths[1512] = [2,1,3,3,2,3,5,0,0,0,0,0,6,11,10,10,6,11,17,7,5];
  1702. 	paths[1513] = [4,1,3,3,2,3,4,1,0,0,0,0,6,11,10,10,6,11,18,7,4];
  1703. 	paths[1514] = [4,1,3,3,2,3,4,0,0,0,0,0,6,11,10,10,6,11,19,5,5];
  1704. 	paths[1515] = [4,1,3,3,2,3,5,1,0,0,0,0,6,11,10,10,6,11,19,7,3];
  1705. 	paths[1516] = [4,1,3,3,2,3,5,0,0,0,0,0,6,11,10,10,6,11,20,5,4];
  1706. 	paths[1517] = [4,1,3,3,1,3,4,0,0,0,0,0,6,11,10,10,6,11,22,3,6];
  1707. 	paths[1518] = [4,1,3,3,1,3,5,0,0,0,0,0,6,11,10,10,6,11,23,3,5];
  1708. 	paths[1519] = [0,0,1,0,3,1,2,1,1,0,0,0,8,6,14,2,17,8,5,17,9];
  1709. 	paths[1520] = [0,0,1,1,3,1,2,1,1,0,0,0,8,6,14,2,17,8,5,18,7];
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  1713. 	paths[1524] = [2,0,1,1,3,1,2,1,1,0,0,0,8,6,14,3,13,6,5,18,7];
  1714. 	paths[1525] = [4,0,3,3,1,1,2,0,1,0,0,0,8,6,14,3,13,6,22,3,6];
  1715. 	paths[1526] = [4,0,3,3,1,1,3,0,1,0,0,0,8,6,14,3,13,6,23,3,5];
  1716. 	paths[1527] = [2,0,1,0,3,2,2,1,1,0,0,0,8,6,14,4,9,8,5,17,9];
  1717. 	paths[1528] = [2,0,1,1,3,2,2,1,1,0,0,0,8,6,14,4,9,8,5,18,7];
  1718. 	paths[1529] = [4,0,3,3,1,2,2,0,1,0,0,0,8,6,14,4,9,8,22,3,6];
  1719. 	paths[1530] = [4,0,3,3,1,2,3,0,1,0,0,0,8,6,14,4,9,8,23,3,5];
  1720. 	paths[1531] = [2,0,1,0,3,3,2,1,1,0,0,0,8,6,14,5,7,10,5,17,9];
  1721. 	paths[1532] = [2,0,1,1,3,3,2,1,1,0,0,0,8,6,14,5,7,10,5,18,7];
  1722. 	paths[1533] = [4,0,3,3,1,3,2,0,1,0,0,0,8,6,14,5,7,10,22,3,6];
  1723. 	paths[1534] = [4,0,3,3,1,3,3,0,1,0,0,0,8,6,14,5,7,10,23,3,5];
  1724. 	paths[1535] = [2,0,1,0,3,0,2,1,1,0,0,0,8,6,14,5,8,9,5,17,9];
  1725. 	paths[1536] = [2,0,1,1,3,0,2,1,1,0,0,0,8,6,14,5,8,9,5,18,7];
  1726. 	paths[1537] = [4,0,3,3,1,0,2,0,1,0,0,0,8,6,14,5,8,9,22,3,6];
  1727. 	paths[1538] = [4,0,3,3,1,0,3,0,1,0,0,0,8,6,14,5,8,9,23,3,5];
  1728. 	paths[1539] = [2,1,1,0,3,1,0,1,1,0,0,0,8,6,14,8,12,7,5,17,9];
  1729. 	paths[1540] = [2,1,1,1,3,1,0,1,1,0,0,0,8,6,14,8,12,7,5,18,7];
  1730. 	paths[1541] = [4,1,3,3,1,1,0,0,1,0,0,0,8,6,14,8,12,7,22,3,6];
  1731. 	paths[1542] = [4,1,3,3,1,1,1,0,1,0,0,0,8,6,14,8,12,7,23,3,5];
  1732. 	paths[1543] = [2,0,4,0,3,1,2,1,1,0,0,0,8,6,14,8,14,5,5,17,9];
  1733. 	paths[1544] = [2,0,4,1,3,1,2,1,1,0,0,0,8,6,14,8,14,5,5,18,7];
  1734. 	paths[1545] = [4,0,5,3,1,1,2,0,1,0,0,0,8,6,14,8,14,5,22,3,6];
  1735. 	paths[1546] = [4,0,5,3,1,1,3,0,1,0,0,0,8,6,14,8,14,5,23,3,5];
  1736. 	paths[1547] = [2,0,4,0,3,2,2,1,1,0,0,0,8,6,14,9,10,7,5,17,9];
  1737. 	paths[1548] = [2,0,4,1,3,2,2,1,1,0,0,0,8,6,14,9,10,7,5,18,7];
  1738. 	paths[1549] = [4,0,5,3,1,2,2,0,1,0,0,0,8,6,14,9,10,7,22,3,6];
  1739. 	paths[1550] = [4,0,5,3,1,2,3,0,1,0,0,0,8,6,14,9,10,7,23,3,5];
  1740. 	paths[1551] = [2,1,1,0,3,3,0,1,1,0,0,0,8,6,14,10,6,11,5,17,9];
  1741. 	paths[1552] = [2,1,1,1,3,3,0,1,1,0,0,0,8,6,14,10,6,11,5,18,7];
  1742. 	paths[1553] = [4,1,3,3,1,3,0,0,1,0,0,0,8,6,14,10,6,11,22,3,6];
  1743. 	paths[1554] = [4,1,3,3,1,3,1,0,1,0,0,0,8,6,14,10,6,11,23,3,5];
  1744. 	paths[1555] = [0,2,1,0,3,1,4,1,1,0,0,0,8,8,12,2,17,8,5,17,9];
  1745. 	paths[1556] = [0,2,1,1,3,1,4,1,1,0,0,0,8,8,12,2,17,8,5,18,7];
  1746. 	paths[1557] = [0,2,1,0,2,1,4,1,1,0,0,0,8,8,12,2,17,8,6,15,8];
  1747. 	paths[1558] = [0,2,1,1,2,1,4,1,1,0,0,0,8,8,12,2,17,8,6,16,6];
  1748. 	paths[1559] = [0,2,1,0,2,1,4,0,1,0,0,0,8,8,12,2,17,8,7,13,9];
  1749. 	paths[1560] = [0,2,1,1,2,1,4,0,1,0,0,0,8,8,12,2,17,8,7,14,7];
  1750. 	paths[1561] = [0,2,1,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,7,16,5];
  1751. 	paths[1562] = [0,2,1,0,2,1,5,0,1,0,0,0,8,8,12,2,17,8,8,13,8];
  1752. 	paths[1563] = [0,2,1,1,2,1,5,0,1,0,0,0,8,8,12,2,17,8,8,14,6];
  1753. 	paths[1564] = [0,2,0,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,8,19,4];
  1754. 	paths[1565] = [0,2,1,2,2,1,4,1,1,0,0,0,8,8,12,2,17,8,9,13,7];
  1755. 	paths[1566] = [0,2,3,1,2,1,4,1,1,0,0,0,8,8,12,2,17,8,9,14,5];
  1756. 	paths[1567] = [0,2,1,2,2,1,4,0,1,0,0,0,8,8,12,2,17,8,10,11,8];
  1757. 	paths[1568] = [0,2,3,1,2,1,4,0,1,0,0,0,8,8,12,2,17,8,10,12,6];
  1758. 	paths[1569] = [0,2,3,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,10,14,4];
  1759. 	paths[1570] = [0,2,1,2,2,1,5,0,1,0,0,0,8,8,12,2,17,8,11,11,7];
  1760. 	paths[1571] = [0,2,3,1,2,1,5,0,1,0,0,0,8,8,12,2,17,8,11,12,5];
  1761. 	paths[1572] = [1,2,0,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,11,17,3];
  1762. 	paths[1573] = [0,2,1,3,2,1,4,1,1,0,0,0,8,8,12,2,17,8,12,11,6];
  1763. 	paths[1574] = [1,2,3,1,2,1,4,1,1,0,0,0,8,8,12,2,17,8,12,12,4];
  1764. 	paths[1575] = [0,2,1,3,2,1,4,0,1,0,0,0,8,8,12,2,17,8,13,9,7];
  1765. 	paths[1576] = [1,2,3,1,2,1,4,0,1,0,0,0,8,8,12,2,17,8,13,10,5];
  1766. 	paths[1577] = [1,2,3,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,13,12,3];
  1767. 	paths[1578] = [0,2,1,3,2,1,5,0,1,0,0,0,8,8,12,2,17,8,14,9,6];
  1768. 	paths[1579] = [1,2,3,1,2,1,5,0,1,0,0,0,8,8,12,2,17,8,14,10,4];
  1769. 	paths[1580] = [0,2,3,3,2,1,4,1,1,0,0,0,8,8,12,2,17,8,15,9,5];
  1770. 	paths[1581] = [0,2,3,3,2,1,4,0,1,0,0,0,8,8,12,2,17,8,16,7,6];
  1771. 	paths[1582] = [0,2,3,3,2,1,5,1,1,0,0,0,8,8,12,2,17,8,16,9,4];
  1772. 	paths[1583] = [0,2,3,3,2,1,5,0,1,0,0,0,8,8,12,2,17,8,17,7,5];
  1773. 	paths[1584] = [1,2,3,3,2,1,4,1,1,0,0,0,8,8,12,2,17,8,18,7,4];
  1774. 	paths[1585] = [1,2,3,3,2,1,4,0,1,0,0,0,8,8,12,2,17,8,19,5,5];
  1775. 	paths[1586] = [1,2,3,3,2,1,5,1,1,0,0,0,8,8,12,2,17,8,19,7,3];
  1776. 	paths[1587] = [1,2,3,3,2,1,5,0,1,0,0,0,8,8,12,2,17,8,20,5,4];
  1777. 	paths[1588] = [1,2,3,3,1,1,4,0,1,0,0,0,8,8,12,2,17,8,22,3,6];
  1778. 	paths[1589] = [1,2,3,3,1,1,5,0,1,0,0,0,8,8,12,2,17,8,23,3,5];
  1779. 	paths[1590] = [2,2,1,0,3,1,4,1,1,0,0,0,8,8,12,3,13,6,5,17,9];
  1780. 	paths[1591] = [2,2,1,1,3,1,4,1,1,0,0,0,8,8,12,3,13,6,5,18,7];
  1781. 	paths[1592] = [2,2,1,0,2,1,4,1,1,0,0,0,8,8,12,3,13,6,6,15,8];
  1782. 	paths[1593] = [2,2,1,1,2,1,4,1,1,0,0,0,8,8,12,3,13,6,6,16,6];
  1783. 	paths[1594] = [2,2,1,0,2,1,4,0,1,0,0,0,8,8,12,3,13,6,7,13,9];
  1784. 	paths[1595] = [2,2,1,1,2,1,4,0,1,0,0,0,8,8,12,3,13,6,7,14,7];
  1785. 	paths[1596] = [2,2,1,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,7,16,5];
  1786. 	paths[1597] = [2,2,1,0,2,1,5,0,1,0,0,0,8,8,12,3,13,6,8,13,8];
  1787. 	paths[1598] = [2,2,1,1,2,1,5,0,1,0,0,0,8,8,12,3,13,6,8,14,6];
  1788. 	paths[1599] = [2,2,0,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,8,19,4];
  1789. 	paths[1600] = [2,2,1,2,2,1,4,1,1,0,0,0,8,8,12,3,13,6,9,13,7];
  1790. 	paths[1601] = [2,2,3,1,2,1,4,1,1,0,0,0,8,8,12,3,13,6,9,14,5];
  1791. 	paths[1602] = [2,2,1,2,2,1,4,0,1,0,0,0,8,8,12,3,13,6,10,11,8];
  1792. 	paths[1603] = [2,2,3,1,2,1,4,0,1,0,0,0,8,8,12,3,13,6,10,12,6];
  1793. 	paths[1604] = [2,2,3,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,10,14,4];
  1794. 	paths[1605] = [2,2,1,2,2,1,5,0,1,0,0,0,8,8,12,3,13,6,11,11,7];
  1795. 	paths[1606] = [2,2,3,1,2,1,5,0,1,0,0,0,8,8,12,3,13,6,11,12,5];
  1796. 	paths[1607] = [4,2,0,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,11,17,3];
  1797. 	paths[1608] = [2,2,1,3,2,1,4,1,1,0,0,0,8,8,12,3,13,6,12,11,6];
  1798. 	paths[1609] = [4,2,3,1,2,1,4,1,1,0,0,0,8,8,12,3,13,6,12,12,4];
  1799. 	paths[1610] = [2,2,1,3,2,1,4,0,1,0,0,0,8,8,12,3,13,6,13,9,7];
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  1801. 	paths[1612] = [4,2,3,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,13,12,3];
  1802. 	paths[1613] = [2,2,1,3,2,1,5,0,1,0,0,0,8,8,12,3,13,6,14,9,6];
  1803. 	paths[1614] = [4,2,3,1,2,1,5,0,1,0,0,0,8,8,12,3,13,6,14,10,4];
  1804. 	paths[1615] = [2,2,3,3,2,1,4,1,1,0,0,0,8,8,12,3,13,6,15,9,5];
  1805. 	paths[1616] = [2,2,3,3,2,1,4,0,1,0,0,0,8,8,12,3,13,6,16,7,6];
  1806. 	paths[1617] = [2,2,3,3,2,1,5,1,1,0,0,0,8,8,12,3,13,6,16,9,4];
  1807. 	paths[1618] = [2,2,3,3,2,1,5,0,1,0,0,0,8,8,12,3,13,6,17,7,5];
  1808. 	paths[1619] = [4,2,3,3,2,1,4,1,1,0,0,0,8,8,12,3,13,6,18,7,4];
  1809. 	paths[1620] = [4,2,3,3,2,1,4,0,1,0,0,0,8,8,12,3,13,6,19,5,5];
  1810. 	paths[1621] = [4,2,3,3,2,1,5,1,1,0,0,0,8,8,12,3,13,6,19,7,3];
  1811. 	paths[1622] = [4,2,3,3,2,1,5,0,1,0,0,0,8,8,12,3,13,6,20,5,4];
  1812. 	paths[1623] = [4,2,3,3,1,1,4,0,1,0,0,0,8,8,12,3,13,6,22,3,6];
  1813. 	paths[1624] = [4,2,3,3,1,1,5,0,1,0,0,0,8,8,12,3,13,6,23,3,5];
  1814. 	paths[1625] = [2,2,1,0,3,2,4,1,1,0,0,0,8,8,12,4,9,8,5,17,9];
  1815. 	paths[1626] = [2,2,1,1,3,2,4,1,1,0,0,0,8,8,12,4,9,8,5,18,7];
  1816. 	paths[1627] = [2,2,1,0,2,2,4,1,1,0,0,0,8,8,12,4,9,8,6,15,8];
  1817. 	paths[1628] = [2,2,1,1,2,2,4,1,1,0,0,0,8,8,12,4,9,8,6,16,6];
  1818. 	paths[1629] = [2,2,1,0,2,2,4,0,1,0,0,0,8,8,12,4,9,8,7,13,9];
  1819. 	paths[1630] = [2,2,1,1,2,2,4,0,1,0,0,0,8,8,12,4,9,8,7,14,7];
  1820. 	paths[1631] = [2,2,1,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,7,16,5];
  1821. 	paths[1632] = [2,2,1,0,2,2,5,0,1,0,0,0,8,8,12,4,9,8,8,13,8];
  1822. 	paths[1633] = [2,2,1,1,2,2,5,0,1,0,0,0,8,8,12,4,9,8,8,14,6];
  1823. 	paths[1634] = [2,2,0,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,8,19,4];
  1824. 	paths[1635] = [2,2,1,2,2,2,4,1,1,0,0,0,8,8,12,4,9,8,9,13,7];
  1825. 	paths[1636] = [2,2,3,1,2,2,4,1,1,0,0,0,8,8,12,4,9,8,9,14,5];
  1826. 	paths[1637] = [2,2,1,2,2,2,4,0,1,0,0,0,8,8,12,4,9,8,10,11,8];
  1827. 	paths[1638] = [2,2,3,1,2,2,4,0,1,0,0,0,8,8,12,4,9,8,10,12,6];
  1828. 	paths[1639] = [2,2,3,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,10,14,4];
  1829. 	paths[1640] = [2,2,1,2,2,2,5,0,1,0,0,0,8,8,12,4,9,8,11,11,7];
  1830. 	paths[1641] = [2,2,3,1,2,2,5,0,1,0,0,0,8,8,12,4,9,8,11,12,5];
  1831. 	paths[1642] = [4,2,0,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,11,17,3];
  1832. 	paths[1643] = [2,2,1,3,2,2,4,1,1,0,0,0,8,8,12,4,9,8,12,11,6];
  1833. 	paths[1644] = [4,2,3,1,2,2,4,1,1,0,0,0,8,8,12,4,9,8,12,12,4];
  1834. 	paths[1645] = [2,2,1,3,2,2,4,0,1,0,0,0,8,8,12,4,9,8,13,9,7];
  1835. 	paths[1646] = [4,2,3,1,2,2,4,0,1,0,0,0,8,8,12,4,9,8,13,10,5];
  1836. 	paths[1647] = [4,2,3,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,13,12,3];
  1837. 	paths[1648] = [2,2,1,3,2,2,5,0,1,0,0,0,8,8,12,4,9,8,14,9,6];
  1838. 	paths[1649] = [4,2,3,1,2,2,5,0,1,0,0,0,8,8,12,4,9,8,14,10,4];
  1839. 	paths[1650] = [2,2,3,3,2,2,4,1,1,0,0,0,8,8,12,4,9,8,15,9,5];
  1840. 	paths[1651] = [2,2,3,3,2,2,4,0,1,0,0,0,8,8,12,4,9,8,16,7,6];
  1841. 	paths[1652] = [2,2,3,3,2,2,5,1,1,0,0,0,8,8,12,4,9,8,16,9,4];
  1842. 	paths[1653] = [2,2,3,3,2,2,5,0,1,0,0,0,8,8,12,4,9,8,17,7,5];
  1843. 	paths[1654] = [4,2,3,3,2,2,4,1,1,0,0,0,8,8,12,4,9,8,18,7,4];
  1844. 	paths[1655] = [4,2,3,3,2,2,4,0,1,0,0,0,8,8,12,4,9,8,19,5,5];
  1845. 	paths[1656] = [4,2,3,3,2,2,5,1,1,0,0,0,8,8,12,4,9,8,19,7,3];
  1846. 	paths[1657] = [4,2,3,3,2,2,5,0,1,0,0,0,8,8,12,4,9,8,20,5,4];
  1847. 	paths[1658] = [4,2,3,3,1,2,4,0,1,0,0,0,8,8,12,4,9,8,22,3,6];
  1848. 	paths[1659] = [4,2,3,3,1,2,5,0,1,0,0,0,8,8,12,4,9,8,23,3,5];
  1849. 	paths[1660] = [2,2,1,0,3,3,4,1,1,0,0,0,8,8,12,5,7,10,5,17,9];
  1850. 	paths[1661] = [2,2,1,1,3,3,4,1,1,0,0,0,8,8,12,5,7,10,5,18,7];
  1851. 	paths[1662] = [2,2,1,0,2,3,4,1,1,0,0,0,8,8,12,5,7,10,6,15,8];
  1852. 	paths[1663] = [2,2,1,1,2,3,4,1,1,0,0,0,8,8,12,5,7,10,6,16,6];
  1853. 	paths[1664] = [2,2,1,0,2,3,4,0,1,0,0,0,8,8,12,5,7,10,7,13,9];
  1854. 	paths[1665] = [2,2,1,1,2,3,4,0,1,0,0,0,8,8,12,5,7,10,7,14,7];
  1855. 	paths[1666] = [2,2,1,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,7,16,5];
  1856. 	paths[1667] = [2,2,1,0,2,3,5,0,1,0,0,0,8,8,12,5,7,10,8,13,8];
  1857. 	paths[1668] = [2,2,1,1,2,3,5,0,1,0,0,0,8,8,12,5,7,10,8,14,6];
  1858. 	paths[1669] = [2,2,0,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,8,19,4];
  1859. 	paths[1670] = [2,2,1,2,2,3,4,1,1,0,0,0,8,8,12,5,7,10,9,13,7];
  1860. 	paths[1671] = [2,2,3,1,2,3,4,1,1,0,0,0,8,8,12,5,7,10,9,14,5];
  1861. 	paths[1672] = [2,2,1,2,2,3,4,0,1,0,0,0,8,8,12,5,7,10,10,11,8];
  1862. 	paths[1673] = [2,2,3,1,2,3,4,0,1,0,0,0,8,8,12,5,7,10,10,12,6];
  1863. 	paths[1674] = [2,2,3,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,10,14,4];
  1864. 	paths[1675] = [2,2,1,2,2,3,5,0,1,0,0,0,8,8,12,5,7,10,11,11,7];
  1865. 	paths[1676] = [2,2,3,1,2,3,5,0,1,0,0,0,8,8,12,5,7,10,11,12,5];
  1866. 	paths[1677] = [4,2,0,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,11,17,3];
  1867. 	paths[1678] = [2,2,1,3,2,3,4,1,1,0,0,0,8,8,12,5,7,10,12,11,6];
  1868. 	paths[1679] = [4,2,3,1,2,3,4,1,1,0,0,0,8,8,12,5,7,10,12,12,4];
  1869. 	paths[1680] = [2,2,1,3,2,3,4,0,1,0,0,0,8,8,12,5,7,10,13,9,7];
  1870. 	paths[1681] = [4,2,3,1,2,3,4,0,1,0,0,0,8,8,12,5,7,10,13,10,5];
  1871. 	paths[1682] = [4,2,3,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,13,12,3];
  1872. 	paths[1683] = [2,2,1,3,2,3,5,0,1,0,0,0,8,8,12,5,7,10,14,9,6];
  1873. 	paths[1684] = [4,2,3,1,2,3,5,0,1,0,0,0,8,8,12,5,7,10,14,10,4];
  1874. 	paths[1685] = [2,2,3,3,2,3,4,1,1,0,0,0,8,8,12,5,7,10,15,9,5];
  1875. 	paths[1686] = [2,2,3,3,2,3,4,0,1,0,0,0,8,8,12,5,7,10,16,7,6];
  1876. 	paths[1687] = [2,2,3,3,2,3,5,1,1,0,0,0,8,8,12,5,7,10,16,9,4];
  1877. 	paths[1688] = [2,2,3,3,2,3,5,0,1,0,0,0,8,8,12,5,7,10,17,7,5];
  1878. 	paths[1689] = [4,2,3,3,2,3,4,1,1,0,0,0,8,8,12,5,7,10,18,7,4];
  1879. 	paths[1690] = [4,2,3,3,2,3,4,0,1,0,0,0,8,8,12,5,7,10,19,5,5];
  1880. 	paths[1691] = [4,2,3,3,2,3,5,1,1,0,0,0,8,8,12,5,7,10,19,7,3];
  1881. 	paths[1692] = [4,2,3,3,2,3,5,0,1,0,0,0,8,8,12,5,7,10,20,5,4];
  1882. 	paths[1693] = [4,2,3,3,1,3,4,0,1,0,0,0,8,8,12,5,7,10,22,3,6];
  1883. 	paths[1694] = [4,2,3,3,1,3,5,0,1,0,0,0,8,8,12,5,7,10,23,3,5];
  1884. 	paths[1695] = [2,2,1,0,3,0,4,1,1,0,0,0,8,8,12,5,8,9,5,17,9];
  1885. 	paths[1696] = [2,2,1,1,3,0,4,1,1,0,0,0,8,8,12,5,8,9,5,18,7];
  1886. 	paths[1697] = [2,2,1,0,2,0,4,1,1,0,0,0,8,8,12,5,8,9,6,15,8];
  1887. 	paths[1698] = [2,2,1,1,2,0,4,1,1,0,0,0,8,8,12,5,8,9,6,16,6];
  1888. 	paths[1699] = [2,2,1,0,2,0,4,0,1,0,0,0,8,8,12,5,8,9,7,13,9];
  1889. 	paths[1700] = [2,2,1,1,2,0,4,0,1,0,0,0,8,8,12,5,8,9,7,14,7];
  1890. 	paths[1701] = [2,2,1,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,7,16,5];
  1891. 	paths[1702] = [2,2,1,0,2,0,5,0,1,0,0,0,8,8,12,5,8,9,8,13,8];
  1892. 	paths[1703] = [2,2,1,1,2,0,5,0,1,0,0,0,8,8,12,5,8,9,8,14,6];
  1893. 	paths[1704] = [2,2,0,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,8,19,4];
  1894. 	paths[1705] = [2,2,1,2,2,0,4,1,1,0,0,0,8,8,12,5,8,9,9,13,7];
  1895. 	paths[1706] = [2,2,3,1,2,0,4,1,1,0,0,0,8,8,12,5,8,9,9,14,5];
  1896. 	paths[1707] = [2,2,1,2,2,0,4,0,1,0,0,0,8,8,12,5,8,9,10,11,8];
  1897. 	paths[1708] = [2,2,3,1,2,0,4,0,1,0,0,0,8,8,12,5,8,9,10,12,6];
  1898. 	paths[1709] = [2,2,3,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,10,14,4];
  1899. 	paths[1710] = [2,2,1,2,2,0,5,0,1,0,0,0,8,8,12,5,8,9,11,11,7];
  1900. 	paths[1711] = [2,2,3,1,2,0,5,0,1,0,0,0,8,8,12,5,8,9,11,12,5];
  1901. 	paths[1712] = [4,2,0,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,11,17,3];
  1902. 	paths[1713] = [2,2,1,3,2,0,4,1,1,0,0,0,8,8,12,5,8,9,12,11,6];
  1903. 	paths[1714] = [4,2,3,1,2,0,4,1,1,0,0,0,8,8,12,5,8,9,12,12,4];
  1904. 	paths[1715] = [2,2,1,3,2,0,4,0,1,0,0,0,8,8,12,5,8,9,13,9,7];
  1905. 	paths[1716] = [4,2,3,1,2,0,4,0,1,0,0,0,8,8,12,5,8,9,13,10,5];
  1906. 	paths[1717] = [4,2,3,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,13,12,3];
  1907. 	paths[1718] = [2,2,1,3,2,0,5,0,1,0,0,0,8,8,12,5,8,9,14,9,6];
  1908. 	paths[1719] = [4,2,3,1,2,0,5,0,1,0,0,0,8,8,12,5,8,9,14,10,4];
  1909. 	paths[1720] = [2,2,3,3,2,0,4,1,1,0,0,0,8,8,12,5,8,9,15,9,5];
  1910. 	paths[1721] = [2,2,3,3,2,0,4,0,1,0,0,0,8,8,12,5,8,9,16,7,6];
  1911. 	paths[1722] = [2,2,3,3,2,0,5,1,1,0,0,0,8,8,12,5,8,9,16,9,4];
  1912. 	paths[1723] = [2,2,3,3,2,0,5,0,1,0,0,0,8,8,12,5,8,9,17,7,5];
  1913. 	paths[1724] = [4,2,3,3,2,0,4,1,1,0,0,0,8,8,12,5,8,9,18,7,4];
  1914. 	paths[1725] = [4,2,3,3,2,0,4,0,1,0,0,0,8,8,12,5,8,9,19,5,5];
  1915. 	paths[1726] = [4,2,3,3,2,0,5,1,1,0,0,0,8,8,12,5,8,9,19,7,3];
  1916. 	paths[1727] = [4,2,3,3,2,0,5,0,1,0,0,0,8,8,12,5,8,9,20,5,4];
  1917. 	paths[1728] = [4,2,3,3,1,0,4,0,1,0,0,0,8,8,12,5,8,9,22,3,6];
  1918. 	paths[1729] = [4,2,3,3,1,0,5,0,1,0,0,0,8,8,12,5,8,9,23,3,5];
  1919. 	paths[1730] = [2,1,1,0,3,1,4,1,1,0,0,0,8,8,12,8,12,7,5,17,9];
  1920. 	paths[1731] = [2,1,1,1,3,1,4,1,1,0,0,0,8,8,12,8,12,7,5,18,7];
  1921. 	paths[1732] = [2,1,1,0,2,1,4,1,1,0,0,0,8,8,12,8,12,7,6,15,8];
  1922. 	paths[1733] = [2,1,1,1,2,1,4,1,1,0,0,0,8,8,12,8,12,7,6,16,6];
  1923. 	paths[1734] = [2,1,1,0,2,1,4,0,1,0,0,0,8,8,12,8,12,7,7,13,9];
  1924. 	paths[1735] = [2,1,1,1,2,1,4,0,1,0,0,0,8,8,12,8,12,7,7,14,7];
  1925. 	paths[1736] = [2,1,1,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,7,16,5];
  1926. 	paths[1737] = [2,1,1,0,2,1,5,0,1,0,0,0,8,8,12,8,12,7,8,13,8];
  1927. 	paths[1738] = [2,1,1,1,2,1,5,0,1,0,0,0,8,8,12,8,12,7,8,14,6];
  1928. 	paths[1739] = [2,1,0,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,8,19,4];
  1929. 	paths[1740] = [2,1,1,2,2,1,4,1,1,0,0,0,8,8,12,8,12,7,9,13,7];
  1930. 	paths[1741] = [2,1,3,1,2,1,4,1,1,0,0,0,8,8,12,8,12,7,9,14,5];
  1931. 	paths[1742] = [2,1,1,2,2,1,4,0,1,0,0,0,8,8,12,8,12,7,10,11,8];
  1932. 	paths[1743] = [2,1,3,1,2,1,4,0,1,0,0,0,8,8,12,8,12,7,10,12,6];
  1933. 	paths[1744] = [2,1,3,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,10,14,4];
  1934. 	paths[1745] = [2,1,1,2,2,1,5,0,1,0,0,0,8,8,12,8,12,7,11,11,7];
  1935. 	paths[1746] = [2,1,3,1,2,1,5,0,1,0,0,0,8,8,12,8,12,7,11,12,5];
  1936. 	paths[1747] = [4,1,0,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,11,17,3];
  1937. 	paths[1748] = [2,1,1,3,2,1,4,1,1,0,0,0,8,8,12,8,12,7,12,11,6];
  1938. 	paths[1749] = [4,1,3,1,2,1,4,1,1,0,0,0,8,8,12,8,12,7,12,12,4];
  1939. 	paths[1750] = [2,1,1,3,2,1,4,0,1,0,0,0,8,8,12,8,12,7,13,9,7];
  1940. 	paths[1751] = [4,1,3,1,2,1,4,0,1,0,0,0,8,8,12,8,12,7,13,10,5];
  1941. 	paths[1752] = [4,1,3,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,13,12,3];
  1942. 	paths[1753] = [2,1,1,3,2,1,5,0,1,0,0,0,8,8,12,8,12,7,14,9,6];
  1943. 	paths[1754] = [4,1,3,1,2,1,5,0,1,0,0,0,8,8,12,8,12,7,14,10,4];
  1944. 	paths[1755] = [2,1,3,3,2,1,4,1,1,0,0,0,8,8,12,8,12,7,15,9,5];
  1945. 	paths[1756] = [2,1,3,3,2,1,4,0,1,0,0,0,8,8,12,8,12,7,16,7,6];
  1946. 	paths[1757] = [2,1,3,3,2,1,5,1,1,0,0,0,8,8,12,8,12,7,16,9,4];
  1947. 	paths[1758] = [2,1,3,3,2,1,5,0,1,0,0,0,8,8,12,8,12,7,17,7,5];
  1948. 	paths[1759] = [4,1,3,3,2,1,4,1,1,0,0,0,8,8,12,8,12,7,18,7,4];
  1949. 	paths[1760] = [4,1,3,3,2,1,4,0,1,0,0,0,8,8,12,8,12,7,19,5,5];
  1950. 	paths[1761] = [4,1,3,3,2,1,5,1,1,0,0,0,8,8,12,8,12,7,19,7,3];
  1951. 	paths[1762] = [4,1,3,3,2,1,5,0,1,0,0,0,8,8,12,8,12,7,20,5,4];
  1952. 	paths[1763] = [4,1,3,3,1,1,4,0,1,0,0,0,8,8,12,8,12,7,22,3,6];
  1953. 	paths[1764] = [4,1,3,3,1,1,5,0,1,0,0,0,8,8,12,8,12,7,23,3,5];
  1954. 	paths[1765] = [2,2,4,0,3,1,4,1,1,0,0,0,8,8,12,8,14,5,5,17,9];
  1955. 	paths[1766] = [2,2,4,1,3,1,4,1,1,0,0,0,8,8,12,8,14,5,5,18,7];
  1956. 	paths[1767] = [2,2,4,0,2,1,4,1,1,0,0,0,8,8,12,8,14,5,6,15,8];
  1957. 	paths[1768] = [2,2,4,1,2,1,4,1,1,0,0,0,8,8,12,8,14,5,6,16,6];
  1958. 	paths[1769] = [2,2,4,0,2,1,4,0,1,0,0,0,8,8,12,8,14,5,7,13,9];
  1959. 	paths[1770] = [2,2,4,1,2,1,4,0,1,0,0,0,8,8,12,8,14,5,7,14,7];
  1960. 	paths[1771] = [2,2,4,1,2,1,5,1,1,0,0,0,8,8,12,8,14,5,7,16,5];
  1961. 	paths[1772] = [2,2,4,0,2,1,5,0,1,0,0,0,8,8,12,8,14,5,8,13,8];
  1962. 	paths[1773] = [2,2,4,1,2,1,5,0,1,0,0,0,8,8,12,8,14,5,8,14,6];
  1963. 	paths[1774] = [2,2,4,2,2,1,4,1,1,0,0,0,8,8,12,8,14,5,9,13,7];
  1964. 	paths[1775] = [2,2,5,1,2,1,4,1,1,0,0,0,8,8,12,8,14,5,9,14,5];
  1965. 	paths[1776] = [2,2,4,2,2,1,4,0,1,0,0,0,8,8,12,8,14,5,10,11,8];
  1966. 	paths[1777] = [2,2,5,1,2,1,4,0,1,0,0,0,8,8,12,8,14,5,10,12,6];
  1967. 	paths[1778] = [2,2,5,1,2,1,5,1,1,0,0,0,8,8,12,8,14,5,10,14,4];
  1968. 	paths[1779] = [2,2,4,2,2,1,5,0,1,0,0,0,8,8,12,8,14,5,11,11,7];
  1969. 	paths[1780] = [2,2,5,1,2,1,5,0,1,0,0,0,8,8,12,8,14,5,11,12,5];
  1970. 	paths[1781] = [2,2,4,3,2,1,4,1,1,0,0,0,8,8,12,8,14,5,12,11,6];
  1971. 	paths[1782] = [4,2,5,1,2,1,4,1,1,0,0,0,8,8,12,8,14,5,12,12,4];
  1972. 	paths[1783] = [2,2,4,3,2,1,4,0,1,0,0,0,8,8,12,8,14,5,13,9,7];
  1973. 	paths[1784] = [4,2,5,1,2,1,4,0,1,0,0,0,8,8,12,8,14,5,13,10,5];
  1974. 	paths[1785] = [4,2,5,1,2,1,5,1,1,0,0,0,8,8,12,8,14,5,13,12,3];
  1975. 	paths[1786] = [2,2,4,3,2,1,5,0,1,0,0,0,8,8,12,8,14,5,14,9,6];
  1976. 	paths[1787] = [4,2,5,1,2,1,5,0,1,0,0,0,8,8,12,8,14,5,14,10,4];
  1977. 	paths[1788] = [2,2,5,3,2,1,4,1,1,0,0,0,8,8,12,8,14,5,15,9,5];
  1978. 	paths[1789] = [2,2,5,3,2,1,4,0,1,0,0,0,8,8,12,8,14,5,16,7,6];
  1979. 	paths[1790] = [2,2,5,3,2,1,5,1,1,0,0,0,8,8,12,8,14,5,16,9,4];
  1980. 	paths[1791] = [2,2,5,3,2,1,5,0,1,0,0,0,8,8,12,8,14,5,17,7,5];
  1981. 	paths[1792] = [4,2,5,3,2,1,4,1,1,0,0,0,8,8,12,8,14,5,18,7,4];
  1982. 	paths[1793] = [4,2,5,3,2,1,4,0,1,0,0,0,8,8,12,8,14,5,19,5,5];
  1983. 	paths[1794] = [4,2,5,3,2,1,5,1,1,0,0,0,8,8,12,8,14,5,19,7,3];
  1984. 	paths[1795] = [4,2,5,3,2,1,5,0,1,0,0,0,8,8,12,8,14,5,20,5,4];
  1985. 	paths[1796] = [4,2,5,3,1,1,4,0,1,0,0,0,8,8,12,8,14,5,22,3,6];
  1986. 	paths[1797] = [4,2,5,3,1,1,5,0,1,0,0,0,8,8,12,8,14,5,23,3,5];
  1987. 	paths[1798] = [2,2,4,0,3,2,4,1,1,0,0,0,8,8,12,9,10,7,5,17,9];
  1988. 	paths[1799] = [2,2,4,1,3,2,4,1,1,0,0,0,8,8,12,9,10,7,5,18,7];
  1989. 	paths[1800] = [2,2,4,0,2,2,4,1,1,0,0,0,8,8,12,9,10,7,6,15,8];
  1990. 	paths[1801] = [2,2,4,1,2,2,4,1,1,0,0,0,8,8,12,9,10,7,6,16,6];
  1991. 	paths[1802] = [2,2,4,0,2,2,4,0,1,0,0,0,8,8,12,9,10,7,7,13,9];
  1992. 	paths[1803] = [2,2,4,1,2,2,4,0,1,0,0,0,8,8,12,9,10,7,7,14,7];
  1993. 	paths[1804] = [2,2,4,1,2,2,5,1,1,0,0,0,8,8,12,9,10,7,7,16,5];
  1994. 	paths[1805] = [2,2,4,0,2,2,5,0,1,0,0,0,8,8,12,9,10,7,8,13,8];
  1995. 	paths[1806] = [2,2,4,1,2,2,5,0,1,0,0,0,8,8,12,9,10,7,8,14,6];
  1996. 	paths[1807] = [2,2,4,2,2,2,4,1,1,0,0,0,8,8,12,9,10,7,9,13,7];
  1997. 	paths[1808] = [2,2,5,1,2,2,4,1,1,0,0,0,8,8,12,9,10,7,9,14,5];
  1998. 	paths[1809] = [2,2,4,2,2,2,4,0,1,0,0,0,8,8,12,9,10,7,10,11,8];
  1999. 	paths[1810] = [2,2,5,1,2,2,4,0,1,0,0,0,8,8,12,9,10,7,10,12,6];
  2000. 	paths[1811] = [2,2,5,1,2,2,5,1,1,0,0,0,8,8,12,9,10,7,10,14,4];
  2001. 	paths[1812] = [2,2,4,2,2,2,5,0,1,0,0,0,8,8,12,9,10,7,11,11,7];
  2002. 	paths[1813] = [2,2,5,1,2,2,5,0,1,0,0,0,8,8,12,9,10,7,11,12,5];
  2003. 	paths[1814] = [2,2,4,3,2,2,4,1,1,0,0,0,8,8,12,9,10,7,12,11,6];
  2004. 	paths[1815] = [4,2,5,1,2,2,4,1,1,0,0,0,8,8,12,9,10,7,12,12,4];
  2005. 	paths[1816] = [2,2,4,3,2,2,4,0,1,0,0,0,8,8,12,9,10,7,13,9,7];
  2006. 	paths[1817] = [4,2,5,1,2,2,4,0,1,0,0,0,8,8,12,9,10,7,13,10,5];
  2007. 	paths[1818] = [4,2,5,1,2,2,5,1,1,0,0,0,8,8,12,9,10,7,13,12,3];
  2008. 	paths[1819] = [2,2,4,3,2,2,5,0,1,0,0,0,8,8,12,9,10,7,14,9,6];
  2009. 	paths[1820] = [4,2,5,1,2,2,5,0,1,0,0,0,8,8,12,9,10,7,14,10,4];
  2010. 	paths[1821] = [2,2,5,3,2,2,4,1,1,0,0,0,8,8,12,9,10,7,15,9,5];
  2011. 	paths[1822] = [2,2,5,3,2,2,4,0,1,0,0,0,8,8,12,9,10,7,16,7,6];
  2012. 	paths[1823] = [2,2,5,3,2,2,5,1,1,0,0,0,8,8,12,9,10,7,16,9,4];
  2013. 	paths[1824] = [2,2,5,3,2,2,5,0,1,0,0,0,8,8,12,9,10,7,17,7,5];
  2014. 	paths[1825] = [4,2,5,3,2,2,4,1,1,0,0,0,8,8,12,9,10,7,18,7,4];
  2015. 	paths[1826] = [4,2,5,3,2,2,4,0,1,0,0,0,8,8,12,9,10,7,19,5,5];
  2016. 	paths[1827] = [4,2,5,3,2,2,5,1,1,0,0,0,8,8,12,9,10,7,19,7,3];
  2017. 	paths[1828] = [4,2,5,3,2,2,5,0,1,0,0,0,8,8,12,9,10,7,20,5,4];
  2018. 	paths[1829] = [4,2,5,3,1,2,4,0,1,0,0,0,8,8,12,9,10,7,22,3,6];
  2019. 	paths[1830] = [4,2,5,3,1,2,5,0,1,0,0,0,8,8,12,9,10,7,23,3,5];
  2020. 	paths[1831] = [2,1,1,0,3,3,4,1,1,0,0,0,8,8,12,10,6,11,5,17,9];
  2021. 	paths[1832] = [2,1,1,1,3,3,4,1,1,0,0,0,8,8,12,10,6,11,5,18,7];
  2022. 	paths[1833] = [2,1,1,0,2,3,4,1,1,0,0,0,8,8,12,10,6,11,6,15,8];
  2023. 	paths[1834] = [2,1,1,1,2,3,4,1,1,0,0,0,8,8,12,10,6,11,6,16,6];
  2024. 	paths[1835] = [2,1,1,0,2,3,4,0,1,0,0,0,8,8,12,10,6,11,7,13,9];
  2025. 	paths[1836] = [2,1,1,1,2,3,4,0,1,0,0,0,8,8,12,10,6,11,7,14,7];
  2026. 	paths[1837] = [2,1,1,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,7,16,5];
  2027. 	paths[1838] = [2,1,1,0,2,3,5,0,1,0,0,0,8,8,12,10,6,11,8,13,8];
  2028. 	paths[1839] = [2,1,1,1,2,3,5,0,1,0,0,0,8,8,12,10,6,11,8,14,6];
  2029. 	paths[1840] = [2,1,0,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,8,19,4];
  2030. 	paths[1841] = [2,1,1,2,2,3,4,1,1,0,0,0,8,8,12,10,6,11,9,13,7];
  2031. 	paths[1842] = [2,1,3,1,2,3,4,1,1,0,0,0,8,8,12,10,6,11,9,14,5];
  2032. 	paths[1843] = [2,1,1,2,2,3,4,0,1,0,0,0,8,8,12,10,6,11,10,11,8];
  2033. 	paths[1844] = [2,1,3,1,2,3,4,0,1,0,0,0,8,8,12,10,6,11,10,12,6];
  2034. 	paths[1845] = [2,1,3,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,10,14,4];
  2035. 	paths[1846] = [2,1,1,2,2,3,5,0,1,0,0,0,8,8,12,10,6,11,11,11,7];
  2036. 	paths[1847] = [2,1,3,1,2,3,5,0,1,0,0,0,8,8,12,10,6,11,11,12,5];
  2037. 	paths[1848] = [4,1,0,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,11,17,3];
  2038. 	paths[1849] = [2,1,1,3,2,3,4,1,1,0,0,0,8,8,12,10,6,11,12,11,6];
  2039. 	paths[1850] = [4,1,3,1,2,3,4,1,1,0,0,0,8,8,12,10,6,11,12,12,4];
  2040. 	paths[1851] = [2,1,1,3,2,3,4,0,1,0,0,0,8,8,12,10,6,11,13,9,7];
  2041. 	paths[1852] = [4,1,3,1,2,3,4,0,1,0,0,0,8,8,12,10,6,11,13,10,5];
  2042. 	paths[1853] = [4,1,3,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,13,12,3];
  2043. 	paths[1854] = [2,1,1,3,2,3,5,0,1,0,0,0,8,8,12,10,6,11,14,9,6];
  2044. 	paths[1855] = [4,1,3,1,2,3,5,0,1,0,0,0,8,8,12,10,6,11,14,10,4];
  2045. 	paths[1856] = [2,1,3,3,2,3,4,1,1,0,0,0,8,8,12,10,6,11,15,9,5];
  2046. 	paths[1857] = [2,1,3,3,2,3,4,0,1,0,0,0,8,8,12,10,6,11,16,7,6];
  2047. 	paths[1858] = [2,1,3,3,2,3,5,1,1,0,0,0,8,8,12,10,6,11,16,9,4];
  2048. 	paths[1859] = [2,1,3,3,2,3,5,0,1,0,0,0,8,8,12,10,6,11,17,7,5];
  2049. 	paths[1860] = [4,1,3,3,2,3,4,1,1,0,0,0,8,8,12,10,6,11,18,7,4];
  2050. 	paths[1861] = [4,1,3,3,2,3,4,0,1,0,0,0,8,8,12,10,6,11,19,5,5];
  2051. 	paths[1862] = [4,1,3,3,2,3,5,1,1,0,0,0,8,8,12,10,6,11,19,7,3];
  2052. 	paths[1863] = [4,1,3,3,2,3,5,0,1,0,0,0,8,8,12,10,6,11,20,5,4];
  2053. 	paths[1864] = [4,1,3,3,1,3,4,0,1,0,0,0,8,8,12,10,6,11,22,3,6];
  2054. 	paths[1865] = [4,1,3,3,1,3,5,0,1,0,0,0,8,8,12,10,6,11,23,3,5];
  2055. 	paths[1866] = [0,0,1,0,0,1,2,1,1,0,0,0,9,5,15,2,17,8,6,15,8];
  2056. 	paths[1867] = [0,0,1,1,0,1,2,1,1,0,0,0,9,5,15,2,17,8,6,16,6];
  2057. 	paths[1868] = [0,0,1,0,0,1,2,0,1,0,0,0,9,5,15,2,17,8,7,13,9];
  2058. 	paths[1869] = [0,0,1,1,0,1,2,0,1,0,0,0,9,5,15,2,17,8,7,14,7];
  2059. 	paths[1870] = [0,0,1,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,7,16,5];
  2060. 	paths[1871] = [0,0,1,0,0,1,3,0,1,0,0,0,9,5,15,2,17,8,8,13,8];
  2061. 	paths[1872] = [0,0,1,1,0,1,3,0,1,0,0,0,9,5,15,2,17,8,8,14,6];
  2062. 	paths[1873] = [0,0,0,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,8,19,4];
  2063. 	paths[1874] = [0,0,1,2,0,1,2,1,1,0,0,0,9,5,15,2,17,8,9,13,7];
  2064. 	paths[1875] = [0,0,3,1,0,1,2,1,1,0,0,0,9,5,15,2,17,8,9,14,5];
  2065. 	paths[1876] = [0,0,1,2,0,1,2,0,1,0,0,0,9,5,15,2,17,8,10,11,8];
  2066. 	paths[1877] = [0,0,3,1,0,1,2,0,1,0,0,0,9,5,15,2,17,8,10,12,6];
  2067. 	paths[1878] = [0,0,3,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,10,14,4];
  2068. 	paths[1879] = [0,0,1,2,0,1,3,0,1,0,0,0,9,5,15,2,17,8,11,11,7];
  2069. 	paths[1880] = [0,0,3,1,0,1,3,0,1,0,0,0,9,5,15,2,17,8,11,12,5];
  2070. 	paths[1881] = [1,0,0,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,11,17,3];
  2071. 	paths[1882] = [0,0,1,3,0,1,2,1,1,0,0,0,9,5,15,2,17,8,12,11,6];
  2072. 	paths[1883] = [1,0,3,1,0,1,2,1,1,0,0,0,9,5,15,2,17,8,12,12,4];
  2073. 	paths[1884] = [0,0,1,3,0,1,2,0,1,0,0,0,9,5,15,2,17,8,13,9,7];
  2074. 	paths[1885] = [1,0,3,1,0,1,2,0,1,0,0,0,9,5,15,2,17,8,13,10,5];
  2075. 	paths[1886] = [1,0,3,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,13,12,3];
  2076. 	paths[1887] = [0,0,1,3,0,1,3,0,1,0,0,0,9,5,15,2,17,8,14,9,6];
  2077. 	paths[1888] = [1,0,3,1,0,1,3,0,1,0,0,0,9,5,15,2,17,8,14,10,4];
  2078. 	paths[1889] = [0,0,3,3,0,1,2,1,1,0,0,0,9,5,15,2,17,8,15,9,5];
  2079. 	paths[1890] = [0,0,3,3,0,1,2,0,1,0,0,0,9,5,15,2,17,8,16,7,6];
  2080. 	paths[1891] = [0,0,3,3,0,1,3,1,1,0,0,0,9,5,15,2,17,8,16,9,4];
  2081. 	paths[1892] = [0,0,3,3,0,1,3,0,1,0,0,0,9,5,15,2,17,8,17,7,5];
  2082. 	paths[1893] = [1,0,3,3,0,1,2,1,1,0,0,0,9,5,15,2,17,8,18,7,4];
  2083. 	paths[1894] = [1,0,3,3,0,1,2,0,1,0,0,0,9,5,15,2,17,8,19,5,5];
  2084. 	paths[1895] = [1,0,3,3,0,1,3,1,1,0,0,0,9,5,15,2,17,8,19,7,3];
  2085. 	paths[1896] = [1,0,3,3,0,1,3,0,1,0,0,0,9,5,15,2,17,8,20,5,4];
  2086. 	paths[1897] = [2,0,1,0,0,1,2,1,1,0,0,0,9,5,15,3,13,6,6,15,8];
  2087. 	paths[1898] = [2,0,1,1,0,1,2,1,1,0,0,0,9,5,15,3,13,6,6,16,6];
  2088. 	paths[1899] = [2,0,1,0,0,1,2,0,1,0,0,0,9,5,15,3,13,6,7,13,9];
  2089. 	paths[1900] = [2,0,1,1,0,1,2,0,1,0,0,0,9,5,15,3,13,6,7,14,7];
  2090. 	paths[1901] = [2,0,1,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,7,16,5];
  2091. 	paths[1902] = [2,0,1,0,0,1,3,0,1,0,0,0,9,5,15,3,13,6,8,13,8];
  2092. 	paths[1903] = [2,0,1,1,0,1,3,0,1,0,0,0,9,5,15,3,13,6,8,14,6];
  2093. 	paths[1904] = [2,0,0,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,8,19,4];
  2094. 	paths[1905] = [2,0,1,2,0,1,2,1,1,0,0,0,9,5,15,3,13,6,9,13,7];
  2095. 	paths[1906] = [2,0,3,1,0,1,2,1,1,0,0,0,9,5,15,3,13,6,9,14,5];
  2096. 	paths[1907] = [2,0,1,2,0,1,2,0,1,0,0,0,9,5,15,3,13,6,10,11,8];
  2097. 	paths[1908] = [2,0,3,1,0,1,2,0,1,0,0,0,9,5,15,3,13,6,10,12,6];
  2098. 	paths[1909] = [2,0,3,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,10,14,4];
  2099. 	paths[1910] = [2,0,1,2,0,1,3,0,1,0,0,0,9,5,15,3,13,6,11,11,7];
  2100. 	paths[1911] = [2,0,3,1,0,1,3,0,1,0,0,0,9,5,15,3,13,6,11,12,5];
  2101. 	paths[1912] = [4,0,0,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,11,17,3];
  2102. 	paths[1913] = [2,0,1,3,0,1,2,1,1,0,0,0,9,5,15,3,13,6,12,11,6];
  2103. 	paths[1914] = [4,0,3,1,0,1,2,1,1,0,0,0,9,5,15,3,13,6,12,12,4];
  2104. 	paths[1915] = [2,0,1,3,0,1,2,0,1,0,0,0,9,5,15,3,13,6,13,9,7];
  2105. 	paths[1916] = [4,0,3,1,0,1,2,0,1,0,0,0,9,5,15,3,13,6,13,10,5];
  2106. 	paths[1917] = [4,0,3,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,13,12,3];
  2107. 	paths[1918] = [2,0,1,3,0,1,3,0,1,0,0,0,9,5,15,3,13,6,14,9,6];
  2108. 	paths[1919] = [4,0,3,1,0,1,3,0,1,0,0,0,9,5,15,3,13,6,14,10,4];
  2109. 	paths[1920] = [2,0,3,3,0,1,2,1,1,0,0,0,9,5,15,3,13,6,15,9,5];
  2110. 	paths[1921] = [2,0,3,3,0,1,2,0,1,0,0,0,9,5,15,3,13,6,16,7,6];
  2111. 	paths[1922] = [2,0,3,3,0,1,3,1,1,0,0,0,9,5,15,3,13,6,16,9,4];
  2112. 	paths[1923] = [2,0,3,3,0,1,3,0,1,0,0,0,9,5,15,3,13,6,17,7,5];
  2113. 	paths[1924] = [4,0,3,3,0,1,2,1,1,0,0,0,9,5,15,3,13,6,18,7,4];
  2114. 	paths[1925] = [4,0,3,3,0,1,2,0,1,0,0,0,9,5,15,3,13,6,19,5,5];
  2115. 	paths[1926] = [4,0,3,3,0,1,3,1,1,0,0,0,9,5,15,3,13,6,19,7,3];
  2116. 	paths[1927] = [4,0,3,3,0,1,3,0,1,0,0,0,9,5,15,3,13,6,20,5,4];
  2117. 	paths[1928] = [2,0,1,0,0,2,2,1,1,0,0,0,9,5,15,4,9,8,6,15,8];
  2118. 	paths[1929] = [2,0,1,1,0,2,2,1,1,0,0,0,9,5,15,4,9,8,6,16,6];
  2119. 	paths[1930] = [2,0,1,0,0,2,2,0,1,0,0,0,9,5,15,4,9,8,7,13,9];
  2120. 	paths[1931] = [2,0,1,1,0,2,2,0,1,0,0,0,9,5,15,4,9,8,7,14,7];
  2121. 	paths[1932] = [2,0,1,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,7,16,5];
  2122. 	paths[1933] = [2,0,1,0,0,2,3,0,1,0,0,0,9,5,15,4,9,8,8,13,8];
  2123. 	paths[1934] = [2,0,1,1,0,2,3,0,1,0,0,0,9,5,15,4,9,8,8,14,6];
  2124. 	paths[1935] = [2,0,0,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,8,19,4];
  2125. 	paths[1936] = [2,0,1,2,0,2,2,1,1,0,0,0,9,5,15,4,9,8,9,13,7];
  2126. 	paths[1937] = [2,0,3,1,0,2,2,1,1,0,0,0,9,5,15,4,9,8,9,14,5];
  2127. 	paths[1938] = [2,0,1,2,0,2,2,0,1,0,0,0,9,5,15,4,9,8,10,11,8];
  2128. 	paths[1939] = [2,0,3,1,0,2,2,0,1,0,0,0,9,5,15,4,9,8,10,12,6];
  2129. 	paths[1940] = [2,0,3,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,10,14,4];
  2130. 	paths[1941] = [2,0,1,2,0,2,3,0,1,0,0,0,9,5,15,4,9,8,11,11,7];
  2131. 	paths[1942] = [2,0,3,1,0,2,3,0,1,0,0,0,9,5,15,4,9,8,11,12,5];
  2132. 	paths[1943] = [4,0,0,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,11,17,3];
  2133. 	paths[1944] = [2,0,1,3,0,2,2,1,1,0,0,0,9,5,15,4,9,8,12,11,6];
  2134. 	paths[1945] = [4,0,3,1,0,2,2,1,1,0,0,0,9,5,15,4,9,8,12,12,4];
  2135. 	paths[1946] = [2,0,1,3,0,2,2,0,1,0,0,0,9,5,15,4,9,8,13,9,7];
  2136. 	paths[1947] = [4,0,3,1,0,2,2,0,1,0,0,0,9,5,15,4,9,8,13,10,5];
  2137. 	paths[1948] = [4,0,3,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,13,12,3];
  2138. 	paths[1949] = [2,0,1,3,0,2,3,0,1,0,0,0,9,5,15,4,9,8,14,9,6];
  2139. 	paths[1950] = [4,0,3,1,0,2,3,0,1,0,0,0,9,5,15,4,9,8,14,10,4];
  2140. 	paths[1951] = [2,0,3,3,0,2,2,1,1,0,0,0,9,5,15,4,9,8,15,9,5];
  2141. 	paths[1952] = [2,0,3,3,0,2,2,0,1,0,0,0,9,5,15,4,9,8,16,7,6];
  2142. 	paths[1953] = [2,0,3,3,0,2,3,1,1,0,0,0,9,5,15,4,9,8,16,9,4];
  2143. 	paths[1954] = [2,0,3,3,0,2,3,0,1,0,0,0,9,5,15,4,9,8,17,7,5];
  2144. 	paths[1955] = [4,0,3,3,0,2,2,1,1,0,0,0,9,5,15,4,9,8,18,7,4];
  2145. 	paths[1956] = [4,0,3,3,0,2,2,0,1,0,0,0,9,5,15,4,9,8,19,5,5];
  2146. 	paths[1957] = [4,0,3,3,0,2,3,1,1,0,0,0,9,5,15,4,9,8,19,7,3];
  2147. 	paths[1958] = [4,0,3,3,0,2,3,0,1,0,0,0,9,5,15,4,9,8,20,5,4];
  2148. 	paths[1959] = [2,0,1,0,0,3,2,1,1,0,0,0,9,5,15,5,7,10,6,15,8];
  2149. 	paths[1960] = [2,0,1,1,0,3,2,1,1,0,0,0,9,5,15,5,7,10,6,16,6];
  2150. 	paths[1961] = [2,0,1,0,0,3,2,0,1,0,0,0,9,5,15,5,7,10,7,13,9];
  2151. 	paths[1962] = [2,0,1,1,0,3,2,0,1,0,0,0,9,5,15,5,7,10,7,14,7];
  2152. 	paths[1963] = [2,0,1,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,7,16,5];
  2153. 	paths[1964] = [2,0,1,0,0,3,3,0,1,0,0,0,9,5,15,5,7,10,8,13,8];
  2154. 	paths[1965] = [2,0,1,1,0,3,3,0,1,0,0,0,9,5,15,5,7,10,8,14,6];
  2155. 	paths[1966] = [2,0,0,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,8,19,4];
  2156. 	paths[1967] = [2,0,1,2,0,3,2,1,1,0,0,0,9,5,15,5,7,10,9,13,7];
  2157. 	paths[1968] = [2,0,3,1,0,3,2,1,1,0,0,0,9,5,15,5,7,10,9,14,5];
  2158. 	paths[1969] = [2,0,1,2,0,3,2,0,1,0,0,0,9,5,15,5,7,10,10,11,8];
  2159. 	paths[1970] = [2,0,3,1,0,3,2,0,1,0,0,0,9,5,15,5,7,10,10,12,6];
  2160. 	paths[1971] = [2,0,3,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,10,14,4];
  2161. 	paths[1972] = [2,0,1,2,0,3,3,0,1,0,0,0,9,5,15,5,7,10,11,11,7];
  2162. 	paths[1973] = [2,0,3,1,0,3,3,0,1,0,0,0,9,5,15,5,7,10,11,12,5];
  2163. 	paths[1974] = [4,0,0,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,11,17,3];
  2164. 	paths[1975] = [2,0,1,3,0,3,2,1,1,0,0,0,9,5,15,5,7,10,12,11,6];
  2165. 	paths[1976] = [4,0,3,1,0,3,2,1,1,0,0,0,9,5,15,5,7,10,12,12,4];
  2166. 	paths[1977] = [2,0,1,3,0,3,2,0,1,0,0,0,9,5,15,5,7,10,13,9,7];
  2167. 	paths[1978] = [4,0,3,1,0,3,2,0,1,0,0,0,9,5,15,5,7,10,13,10,5];
  2168. 	paths[1979] = [4,0,3,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,13,12,3];
  2169. 	paths[1980] = [2,0,1,3,0,3,3,0,1,0,0,0,9,5,15,5,7,10,14,9,6];
  2170. 	paths[1981] = [4,0,3,1,0,3,3,0,1,0,0,0,9,5,15,5,7,10,14,10,4];
  2171. 	paths[1982] = [2,0,3,3,0,3,2,1,1,0,0,0,9,5,15,5,7,10,15,9,5];
  2172. 	paths[1983] = [2,0,3,3,0,3,2,0,1,0,0,0,9,5,15,5,7,10,16,7,6];
  2173. 	paths[1984] = [2,0,3,3,0,3,3,1,1,0,0,0,9,5,15,5,7,10,16,9,4];
  2174. 	paths[1985] = [2,0,3,3,0,3,3,0,1,0,0,0,9,5,15,5,7,10,17,7,5];
  2175. 	paths[1986] = [4,0,3,3,0,3,2,1,1,0,0,0,9,5,15,5,7,10,18,7,4];
  2176. 	paths[1987] = [4,0,3,3,0,3,2,0,1,0,0,0,9,5,15,5,7,10,19,5,5];
  2177. 	paths[1988] = [4,0,3,3,0,3,3,1,1,0,0,0,9,5,15,5,7,10,19,7,3];
  2178. 	paths[1989] = [4,0,3,3,0,3,3,0,1,0,0,0,9,5,15,5,7,10,20,5,4];
  2179. 	paths[1990] = [2,0,1,0,0,0,2,1,1,0,0,0,9,5,15,5,8,9,6,15,8];
  2180. 	paths[1991] = [2,0,1,1,0,0,2,1,1,0,0,0,9,5,15,5,8,9,6,16,6];
  2181. 	paths[1992] = [2,0,1,0,0,0,2,0,1,0,0,0,9,5,15,5,8,9,7,13,9];
  2182. 	paths[1993] = [2,0,1,1,0,0,2,0,1,0,0,0,9,5,15,5,8,9,7,14,7];
  2183. 	paths[1994] = [2,0,1,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,7,16,5];
  2184. 	paths[1995] = [2,0,1,0,0,0,3,0,1,0,0,0,9,5,15,5,8,9,8,13,8];
  2185. 	paths[1996] = [2,0,1,1,0,0,3,0,1,0,0,0,9,5,15,5,8,9,8,14,6];
  2186. 	paths[1997] = [2,0,0,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,8,19,4];
  2187. 	paths[1998] = [2,0,1,2,0,0,2,1,1,0,0,0,9,5,15,5,8,9,9,13,7];
  2188. 	paths[1999] = [2,0,3,1,0,0,2,1,1,0,0,0,9,5,15,5,8,9,9,14,5];
  2189. 	paths[2000] = [2,0,1,2,0,0,2,0,1,0,0,0,9,5,15,5,8,9,10,11,8];
  2190. 	paths[2001] = [2,0,3,1,0,0,2,0,1,0,0,0,9,5,15,5,8,9,10,12,6];
  2191. 	paths[2002] = [2,0,3,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,10,14,4];
  2192. 	paths[2003] = [2,0,1,2,0,0,3,0,1,0,0,0,9,5,15,5,8,9,11,11,7];
  2193. 	paths[2004] = [2,0,3,1,0,0,3,0,1,0,0,0,9,5,15,5,8,9,11,12,5];
  2194. 	paths[2005] = [4,0,0,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,11,17,3];
  2195. 	paths[2006] = [2,0,1,3,0,0,2,1,1,0,0,0,9,5,15,5,8,9,12,11,6];
  2196. 	paths[2007] = [4,0,3,1,0,0,2,1,1,0,0,0,9,5,15,5,8,9,12,12,4];
  2197. 	paths[2008] = [2,0,1,3,0,0,2,0,1,0,0,0,9,5,15,5,8,9,13,9,7];
  2198. 	paths[2009] = [4,0,3,1,0,0,2,0,1,0,0,0,9,5,15,5,8,9,13,10,5];
  2199. 	paths[2010] = [4,0,3,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,13,12,3];
  2200. 	paths[2011] = [2,0,1,3,0,0,3,0,1,0,0,0,9,5,15,5,8,9,14,9,6];
  2201. 	paths[2012] = [4,0,3,1,0,0,3,0,1,0,0,0,9,5,15,5,8,9,14,10,4];
  2202. 	paths[2013] = [2,0,3,3,0,0,2,1,1,0,0,0,9,5,15,5,8,9,15,9,5];
  2203. 	paths[2014] = [2,0,3,3,0,0,2,0,1,0,0,0,9,5,15,5,8,9,16,7,6];
  2204. 	paths[2015] = [2,0,3,3,0,0,3,1,1,0,0,0,9,5,15,5,8,9,16,9,4];
  2205. 	paths[2016] = [2,0,3,3,0,0,3,0,1,0,0,0,9,5,15,5,8,9,17,7,5];
  2206. 	paths[2017] = [4,0,3,3,0,0,2,1,1,0,0,0,9,5,15,5,8,9,18,7,4];
  2207. 	paths[2018] = [4,0,3,3,0,0,2,0,1,0,0,0,9,5,15,5,8,9,19,5,5];
  2208. 	paths[2019] = [4,0,3,3,0,0,3,1,1,0,0,0,9,5,15,5,8,9,19,7,3];
  2209. 	paths[2020] = [4,0,3,3,0,0,3,0,1,0,0,0,9,5,15,5,8,9,20,5,4];
  2210. 	paths[2021] = [2,1,1,0,0,1,0,1,1,0,0,0,9,5,15,8,12,7,6,15,8];
  2211. 	paths[2022] = [2,1,1,1,0,1,0,1,1,0,0,0,9,5,15,8,12,7,6,16,6];
  2212. 	paths[2023] = [2,1,1,0,0,1,0,0,1,0,0,0,9,5,15,8,12,7,7,13,9];
  2213. 	paths[2024] = [2,1,1,1,0,1,0,0,1,0,0,0,9,5,15,8,12,7,7,14,7];
  2214. 	paths[2025] = [2,1,1,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,7,16,5];
  2215. 	paths[2026] = [2,1,1,0,0,1,1,0,1,0,0,0,9,5,15,8,12,7,8,13,8];
  2216. 	paths[2027] = [2,1,1,1,0,1,1,0,1,0,0,0,9,5,15,8,12,7,8,14,6];
  2217. 	paths[2028] = [2,1,0,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,8,19,4];
  2218. 	paths[2029] = [2,1,1,2,0,1,0,1,1,0,0,0,9,5,15,8,12,7,9,13,7];
  2219. 	paths[2030] = [2,1,3,1,0,1,0,1,1,0,0,0,9,5,15,8,12,7,9,14,5];
  2220. 	paths[2031] = [2,1,1,2,0,1,0,0,1,0,0,0,9,5,15,8,12,7,10,11,8];
  2221. 	paths[2032] = [2,1,3,1,0,1,0,0,1,0,0,0,9,5,15,8,12,7,10,12,6];
  2222. 	paths[2033] = [2,1,3,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,10,14,4];
  2223. 	paths[2034] = [2,1,1,2,0,1,1,0,1,0,0,0,9,5,15,8,12,7,11,11,7];
  2224. 	paths[2035] = [2,1,3,1,0,1,1,0,1,0,0,0,9,5,15,8,12,7,11,12,5];
  2225. 	paths[2036] = [4,1,0,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,11,17,3];
  2226. 	paths[2037] = [2,1,1,3,0,1,0,1,1,0,0,0,9,5,15,8,12,7,12,11,6];
  2227. 	paths[2038] = [4,1,3,1,0,1,0,1,1,0,0,0,9,5,15,8,12,7,12,12,4];
  2228. 	paths[2039] = [2,1,1,3,0,1,0,0,1,0,0,0,9,5,15,8,12,7,13,9,7];
  2229. 	paths[2040] = [4,1,3,1,0,1,0,0,1,0,0,0,9,5,15,8,12,7,13,10,5];
  2230. 	paths[2041] = [4,1,3,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,13,12,3];
  2231. 	paths[2042] = [2,1,1,3,0,1,1,0,1,0,0,0,9,5,15,8,12,7,14,9,6];
  2232. 	paths[2043] = [4,1,3,1,0,1,1,0,1,0,0,0,9,5,15,8,12,7,14,10,4];
  2233. 	paths[2044] = [2,1,3,3,0,1,0,1,1,0,0,0,9,5,15,8,12,7,15,9,5];
  2234. 	paths[2045] = [2,1,3,3,0,1,0,0,1,0,0,0,9,5,15,8,12,7,16,7,6];
  2235. 	paths[2046] = [2,1,3,3,0,1,1,1,1,0,0,0,9,5,15,8,12,7,16,9,4];
  2236. 	paths[2047] = [2,1,3,3,0,1,1,0,1,0,0,0,9,5,15,8,12,7,17,7,5];
  2237. 	paths[2048] = [4,1,3,3,0,1,0,1,1,0,0,0,9,5,15,8,12,7,18,7,4];
  2238. 	paths[2049] = [4,1,3,3,0,1,0,0,1,0,0,0,9,5,15,8,12,7,19,5,5];
  2239. 	paths[2050] = [4,1,3,3,0,1,1,1,1,0,0,0,9,5,15,8,12,7,19,7,3];
  2240. 	paths[2051] = [4,1,3,3,0,1,1,0,1,0,0,0,9,5,15,8,12,7,20,5,4];
  2241. 	paths[2052] = [2,0,4,0,0,1,2,1,1,0,0,0,9,5,15,8,14,5,6,15,8];
  2242. 	paths[2053] = [2,0,4,1,0,1,2,1,1,0,0,0,9,5,15,8,14,5,6,16,6];
  2243. 	paths[2054] = [2,0,4,0,0,1,2,0,1,0,0,0,9,5,15,8,14,5,7,13,9];
  2244. 	paths[2055] = [2,0,4,1,0,1,2,0,1,0,0,0,9,5,15,8,14,5,7,14,7];
  2245. 	paths[2056] = [2,0,4,1,0,1,3,1,1,0,0,0,9,5,15,8,14,5,7,16,5];
  2246. 	paths[2057] = [2,0,4,0,0,1,3,0,1,0,0,0,9,5,15,8,14,5,8,13,8];
  2247. 	paths[2058] = [2,0,4,1,0,1,3,0,1,0,0,0,9,5,15,8,14,5,8,14,6];
  2248. 	paths[2059] = [2,0,4,2,0,1,2,1,1,0,0,0,9,5,15,8,14,5,9,13,7];
  2249. 	paths[2060] = [2,0,5,1,0,1,2,1,1,0,0,0,9,5,15,8,14,5,9,14,5];
  2250. 	paths[2061] = [2,0,4,2,0,1,2,0,1,0,0,0,9,5,15,8,14,5,10,11,8];
  2251. 	paths[2062] = [2,0,5,1,0,1,2,0,1,0,0,0,9,5,15,8,14,5,10,12,6];
  2252. 	paths[2063] = [2,0,5,1,0,1,3,1,1,0,0,0,9,5,15,8,14,5,10,14,4];
  2253. 	paths[2064] = [2,0,4,2,0,1,3,0,1,0,0,0,9,5,15,8,14,5,11,11,7];
  2254. 	paths[2065] = [2,0,5,1,0,1,3,0,1,0,0,0,9,5,15,8,14,5,11,12,5];
  2255. 	paths[2066] = [2,0,4,3,0,1,2,1,1,0,0,0,9,5,15,8,14,5,12,11,6];
  2256. 	paths[2067] = [4,0,5,1,0,1,2,1,1,0,0,0,9,5,15,8,14,5,12,12,4];
  2257. 	paths[2068] = [2,0,4,3,0,1,2,0,1,0,0,0,9,5,15,8,14,5,13,9,7];
  2258. 	paths[2069] = [4,0,5,1,0,1,2,0,1,0,0,0,9,5,15,8,14,5,13,10,5];
  2259. 	paths[2070] = [4,0,5,1,0,1,3,1,1,0,0,0,9,5,15,8,14,5,13,12,3];
  2260. 	paths[2071] = [2,0,4,3,0,1,3,0,1,0,0,0,9,5,15,8,14,5,14,9,6];
  2261. 	paths[2072] = [4,0,5,1,0,1,3,0,1,0,0,0,9,5,15,8,14,5,14,10,4];
  2262. 	paths[2073] = [2,0,5,3,0,1,2,1,1,0,0,0,9,5,15,8,14,5,15,9,5];
  2263. 	paths[2074] = [2,0,5,3,0,1,2,0,1,0,0,0,9,5,15,8,14,5,16,7,6];
  2264. 	paths[2075] = [2,0,5,3,0,1,3,1,1,0,0,0,9,5,15,8,14,5,16,9,4];
  2265. 	paths[2076] = [2,0,5,3,0,1,3,0,1,0,0,0,9,5,15,8,14,5,17,7,5];
  2266. 	paths[2077] = [4,0,5,3,0,1,2,1,1,0,0,0,9,5,15,8,14,5,18,7,4];
  2267. 	paths[2078] = [4,0,5,3,0,1,2,0,1,0,0,0,9,5,15,8,14,5,19,5,5];
  2268. 	paths[2079] = [4,0,5,3,0,1,3,1,1,0,0,0,9,5,15,8,14,5,19,7,3];
  2269. 	paths[2080] = [4,0,5,3,0,1,3,0,1,0,0,0,9,5,15,8,14,5,20,5,4];
  2270. 	paths[2081] = [2,0,4,0,0,2,2,1,1,0,0,0,9,5,15,9,10,7,6,15,8];
  2271. 	paths[2082] = [2,0,4,1,0,2,2,1,1,0,0,0,9,5,15,9,10,7,6,16,6];
  2272. 	paths[2083] = [2,0,4,0,0,2,2,0,1,0,0,0,9,5,15,9,10,7,7,13,9];
  2273. 	paths[2084] = [2,0,4,1,0,2,2,0,1,0,0,0,9,5,15,9,10,7,7,14,7];
  2274. 	paths[2085] = [2,0,4,1,0,2,3,1,1,0,0,0,9,5,15,9,10,7,7,16,5];
  2275. 	paths[2086] = [2,0,4,0,0,2,3,0,1,0,0,0,9,5,15,9,10,7,8,13,8];
  2276. 	paths[2087] = [2,0,4,1,0,2,3,0,1,0,0,0,9,5,15,9,10,7,8,14,6];
  2277. 	paths[2088] = [2,0,4,2,0,2,2,1,1,0,0,0,9,5,15,9,10,7,9,13,7];
  2278. 	paths[2089] = [2,0,5,1,0,2,2,1,1,0,0,0,9,5,15,9,10,7,9,14,5];
  2279. 	paths[2090] = [2,0,4,2,0,2,2,0,1,0,0,0,9,5,15,9,10,7,10,11,8];
  2280. 	paths[2091] = [2,0,5,1,0,2,2,0,1,0,0,0,9,5,15,9,10,7,10,12,6];
  2281. 	paths[2092] = [2,0,5,1,0,2,3,1,1,0,0,0,9,5,15,9,10,7,10,14,4];
  2282. 	paths[2093] = [2,0,4,2,0,2,3,0,1,0,0,0,9,5,15,9,10,7,11,11,7];
  2283. 	paths[2094] = [2,0,5,1,0,2,3,0,1,0,0,0,9,5,15,9,10,7,11,12,5];
  2284. 	paths[2095] = [2,0,4,3,0,2,2,1,1,0,0,0,9,5,15,9,10,7,12,11,6];
  2285. 	paths[2096] = [4,0,5,1,0,2,2,1,1,0,0,0,9,5,15,9,10,7,12,12,4];
  2286. 	paths[2097] = [2,0,4,3,0,2,2,0,1,0,0,0,9,5,15,9,10,7,13,9,7];
  2287. 	paths[2098] = [4,0,5,1,0,2,2,0,1,0,0,0,9,5,15,9,10,7,13,10,5];
  2288. 	paths[2099] = [4,0,5,1,0,2,3,1,1,0,0,0,9,5,15,9,10,7,13,12,3];
  2289. 	paths[2100] = [2,0,4,3,0,2,3,0,1,0,0,0,9,5,15,9,10,7,14,9,6];
  2290. 	paths[2101] = [4,0,5,1,0,2,3,0,1,0,0,0,9,5,15,9,10,7,14,10,4];
  2291. 	paths[2102] = [2,0,5,3,0,2,2,1,1,0,0,0,9,5,15,9,10,7,15,9,5];
  2292. 	paths[2103] = [2,0,5,3,0,2,2,0,1,0,0,0,9,5,15,9,10,7,16,7,6];
  2293. 	paths[2104] = [2,0,5,3,0,2,3,1,1,0,0,0,9,5,15,9,10,7,16,9,4];
  2294. 	paths[2105] = [2,0,5,3,0,2,3,0,1,0,0,0,9,5,15,9,10,7,17,7,5];
  2295. 	paths[2106] = [4,0,5,3,0,2,2,1,1,0,0,0,9,5,15,9,10,7,18,7,4];
  2296. 	paths[2107] = [4,0,5,3,0,2,2,0,1,0,0,0,9,5,15,9,10,7,19,5,5];
  2297. 	paths[2108] = [4,0,5,3,0,2,3,1,1,0,0,0,9,5,15,9,10,7,19,7,3];
  2298. 	paths[2109] = [4,0,5,3,0,2,3,0,1,0,0,0,9,5,15,9,10,7,20,5,4];
  2299. 	paths[2110] = [2,1,1,0,0,3,0,1,1,0,0,0,9,5,15,10,6,11,6,15,8];
  2300. 	paths[2111] = [2,1,1,1,0,3,0,1,1,0,0,0,9,5,15,10,6,11,6,16,6];
  2301. 	paths[2112] = [2,1,1,0,0,3,0,0,1,0,0,0,9,5,15,10,6,11,7,13,9];
  2302. 	paths[2113] = [2,1,1,1,0,3,0,0,1,0,0,0,9,5,15,10,6,11,7,14,7];
  2303. 	paths[2114] = [2,1,1,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,7,16,5];
  2304. 	paths[2115] = [2,1,1,0,0,3,1,0,1,0,0,0,9,5,15,10,6,11,8,13,8];
  2305. 	paths[2116] = [2,1,1,1,0,3,1,0,1,0,0,0,9,5,15,10,6,11,8,14,6];
  2306. 	paths[2117] = [2,1,0,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,8,19,4];
  2307. 	paths[2118] = [2,1,1,2,0,3,0,1,1,0,0,0,9,5,15,10,6,11,9,13,7];
  2308. 	paths[2119] = [2,1,3,1,0,3,0,1,1,0,0,0,9,5,15,10,6,11,9,14,5];
  2309. 	paths[2120] = [2,1,1,2,0,3,0,0,1,0,0,0,9,5,15,10,6,11,10,11,8];
  2310. 	paths[2121] = [2,1,3,1,0,3,0,0,1,0,0,0,9,5,15,10,6,11,10,12,6];
  2311. 	paths[2122] = [2,1,3,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,10,14,4];
  2312. 	paths[2123] = [2,1,1,2,0,3,1,0,1,0,0,0,9,5,15,10,6,11,11,11,7];
  2313. 	paths[2124] = [2,1,3,1,0,3,1,0,1,0,0,0,9,5,15,10,6,11,11,12,5];
  2314. 	paths[2125] = [4,1,0,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,11,17,3];
  2315. 	paths[2126] = [2,1,1,3,0,3,0,1,1,0,0,0,9,5,15,10,6,11,12,11,6];
  2316. 	paths[2127] = [4,1,3,1,0,3,0,1,1,0,0,0,9,5,15,10,6,11,12,12,4];
  2317. 	paths[2128] = [2,1,1,3,0,3,0,0,1,0,0,0,9,5,15,10,6,11,13,9,7];
  2318. 	paths[2129] = [4,1,3,1,0,3,0,0,1,0,0,0,9,5,15,10,6,11,13,10,5];
  2319. 	paths[2130] = [4,1,3,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,13,12,3];
  2320. 	paths[2131] = [2,1,1,3,0,3,1,0,1,0,0,0,9,5,15,10,6,11,14,9,6];
  2321. 	paths[2132] = [4,1,3,1,0,3,1,0,1,0,0,0,9,5,15,10,6,11,14,10,4];
  2322. 	paths[2133] = [2,1,3,3,0,3,0,1,1,0,0,0,9,5,15,10,6,11,15,9,5];
  2323. 	paths[2134] = [2,1,3,3,0,3,0,0,1,0,0,0,9,5,15,10,6,11,16,7,6];
  2324. 	paths[2135] = [2,1,3,3,0,3,1,1,1,0,0,0,9,5,15,10,6,11,16,9,4];
  2325. 	paths[2136] = [2,1,3,3,0,3,1,0,1,0,0,0,9,5,15,10,6,11,17,7,5];
  2326. 	paths[2137] = [4,1,3,3,0,3,0,1,1,0,0,0,9,5,15,10,6,11,18,7,4];
  2327. 	paths[2138] = [4,1,3,3,0,3,0,0,1,0,0,0,9,5,15,10,6,11,19,5,5];
  2328. 	paths[2139] = [4,1,3,3,0,3,1,1,1,0,0,0,9,5,15,10,6,11,19,7,3];
  2329. 	paths[2140] = [4,1,3,3,0,3,1,0,1,0,0,0,9,5,15,10,6,11,20,5,4];
  2330. 	paths[2141] = [0,2,6,0,3,1,4,1,0,0,0,0,9,12,9,2,17,8,5,17,9];
  2331. 	paths[2142] = [0,2,6,1,3,1,4,1,0,0,0,0,9,12,9,2,17,8,5,18,7];
  2332. 	paths[2143] = [0,2,6,0,2,1,4,1,0,0,0,0,9,12,9,2,17,8,6,15,8];
  2333. 	paths[2144] = [0,2,6,1,2,1,4,1,0,0,0,0,9,12,9,2,17,8,6,16,6];
  2334. 	paths[2145] = [0,2,6,0,2,1,4,0,0,0,0,0,9,12,9,2,17,8,7,13,9];
  2335. 	paths[2146] = [0,2,6,1,2,1,4,0,0,0,0,0,9,12,9,2,17,8,7,14,7];
  2336. 	paths[2147] = [0,2,6,1,2,1,5,1,0,0,0,0,9,12,9,2,17,8,7,16,5];
  2337. 	paths[2148] = [0,2,6,0,2,1,5,0,0,0,0,0,9,12,9,2,17,8,8,13,8];
  2338. 	paths[2149] = [0,2,6,1,2,1,5,0,0,0,0,0,9,12,9,2,17,8,8,14,6];
  2339. 	paths[2150] = [0,2,6,2,2,1,4,1,0,0,0,0,9,12,9,2,17,8,9,13,7];
  2340. 	paths[2151] = [0,2,7,1,2,1,4,1,0,0,0,0,9,12,9,2,17,8,9,14,5];
  2341. 	paths[2152] = [0,2,6,2,2,1,4,0,0,0,0,0,9,12,9,2,17,8,10,11,8];
  2342. 	paths[2153] = [0,2,7,1,2,1,4,0,0,0,0,0,9,12,9,2,17,8,10,12,6];
  2343. 	paths[2154] = [0,2,7,1,2,1,5,1,0,0,0,0,9,12,9,2,17,8,10,14,4];
  2344. 	paths[2155] = [0,2,6,2,2,1,5,0,0,0,0,0,9,12,9,2,17,8,11,11,7];
  2345. 	paths[2156] = [0,2,7,1,2,1,5,0,0,0,0,0,9,12,9,2,17,8,11,12,5];
  2346. 	paths[2157] = [0,2,6,3,2,1,4,1,0,0,0,0,9,12,9,2,17,8,12,11,6];
  2347. 	paths[2158] = [1,2,7,1,2,1,4,1,0,0,0,0,9,12,9,2,17,8,12,12,4];
  2348. 	paths[2159] = [0,2,6,3,2,1,4,0,0,0,0,0,9,12,9,2,17,8,13,9,7];
  2349. 	paths[2160] = [1,2,7,1,2,1,4,0,0,0,0,0,9,12,9,2,17,8,13,10,5];
  2350. 	paths[2161] = [1,2,7,1,2,1,5,1,0,0,0,0,9,12,9,2,17,8,13,12,3];
  2351. 	paths[2162] = [0,2,6,3,2,1,5,0,0,0,0,0,9,12,9,2,17,8,14,9,6];
  2352. 	paths[2163] = [1,2,7,1,2,1,5,0,0,0,0,0,9,12,9,2,17,8,14,10,4];
  2353. 	paths[2164] = [0,2,7,3,2,1,4,1,0,0,0,0,9,12,9,2,17,8,15,9,5];
  2354. 	paths[2165] = [0,2,7,3,2,1,4,0,0,0,0,0,9,12,9,2,17,8,16,7,6];
  2355. 	paths[2166] = [0,2,7,3,2,1,5,1,0,0,0,0,9,12,9,2,17,8,16,9,4];
  2356. 	paths[2167] = [0,2,7,3,2,1,5,0,0,0,0,0,9,12,9,2,17,8,17,7,5];
  2357. 	paths[2168] = [1,2,7,3,2,1,4,1,0,0,0,0,9,12,9,2,17,8,18,7,4];
  2358. 	paths[2169] = [1,2,7,3,2,1,4,0,0,0,0,0,9,12,9,2,17,8,19,5,5];
  2359. 	paths[2170] = [1,2,7,3,2,1,5,1,0,0,0,0,9,12,9,2,17,8,19,7,3];
  2360. 	paths[2171] = [1,2,7,3,2,1,5,0,0,0,0,0,9,12,9,2,17,8,20,5,4];
  2361. 	paths[2172] = [1,2,7,3,1,1,4,0,0,0,0,0,9,12,9,2,17,8,22,3,6];
  2362. 	paths[2173] = [1,2,7,3,1,1,5,0,0,0,0,0,9,12,9,2,17,8,23,3,5];
  2363. 	paths[2174] = [2,2,6,0,3,1,4,1,0,0,0,0,9,12,9,3,13,6,5,17,9];
  2364. 	paths[2175] = [2,2,6,1,3,1,4,1,0,0,0,0,9,12,9,3,13,6,5,18,7];
  2365. 	paths[2176] = [2,2,6,0,2,1,4,1,0,0,0,0,9,12,9,3,13,6,6,15,8];
  2366. 	paths[2177] = [2,2,6,1,2,1,4,1,0,0,0,0,9,12,9,3,13,6,6,16,6];
  2367. 	paths[2178] = [2,2,6,0,2,1,4,0,0,0,0,0,9,12,9,3,13,6,7,13,9];
  2368. 	paths[2179] = [2,2,6,1,2,1,4,0,0,0,0,0,9,12,9,3,13,6,7,14,7];
  2369. 	paths[2180] = [2,2,6,1,2,1,5,1,0,0,0,0,9,12,9,3,13,6,7,16,5];
  2370. 	paths[2181] = [2,2,6,0,2,1,5,0,0,0,0,0,9,12,9,3,13,6,8,13,8];
  2371. 	paths[2182] = [2,2,6,1,2,1,5,0,0,0,0,0,9,12,9,3,13,6,8,14,6];
  2372. 	paths[2183] = [2,2,6,2,2,1,4,1,0,0,0,0,9,12,9,3,13,6,9,13,7];
  2373. 	paths[2184] = [2,2,7,1,2,1,4,1,0,0,0,0,9,12,9,3,13,6,9,14,5];
  2374. 	paths[2185] = [2,2,6,2,2,1,4,0,0,0,0,0,9,12,9,3,13,6,10,11,8];
  2375. 	paths[2186] = [2,2,7,1,2,1,4,0,0,0,0,0,9,12,9,3,13,6,10,12,6];
  2376. 	paths[2187] = [2,2,7,1,2,1,5,1,0,0,0,0,9,12,9,3,13,6,10,14,4];
  2377. 	paths[2188] = [2,2,6,2,2,1,5,0,0,0,0,0,9,12,9,3,13,6,11,11,7];
  2378. 	paths[2189] = [2,2,7,1,2,1,5,0,0,0,0,0,9,12,9,3,13,6,11,12,5];
  2379. 	paths[2190] = [2,2,6,3,2,1,4,1,0,0,0,0,9,12,9,3,13,6,12,11,6];
  2380. 	paths[2191] = [4,2,7,1,2,1,4,1,0,0,0,0,9,12,9,3,13,6,12,12,4];
  2381. 	paths[2192] = [2,2,6,3,2,1,4,0,0,0,0,0,9,12,9,3,13,6,13,9,7];
  2382. 	paths[2193] = [4,2,7,1,2,1,4,0,0,0,0,0,9,12,9,3,13,6,13,10,5];
  2383. 	paths[2194] = [4,2,7,1,2,1,5,1,0,0,0,0,9,12,9,3,13,6,13,12,3];
  2384. 	paths[2195] = [2,2,6,3,2,1,5,0,0,0,0,0,9,12,9,3,13,6,14,9,6];
  2385. 	paths[2196] = [4,2,7,1,2,1,5,0,0,0,0,0,9,12,9,3,13,6,14,10,4];
  2386. 	paths[2197] = [2,2,7,3,2,1,4,1,0,0,0,0,9,12,9,3,13,6,15,9,5];
  2387. 	paths[2198] = [2,2,7,3,2,1,4,0,0,0,0,0,9,12,9,3,13,6,16,7,6];
  2388. 	paths[2199] = [2,2,7,3,2,1,5,1,0,0,0,0,9,12,9,3,13,6,16,9,4];
  2389. 	paths[2200] = [2,2,7,3,2,1,5,0,0,0,0,0,9,12,9,3,13,6,17,7,5];
  2390. 	paths[2201] = [4,2,7,3,2,1,4,1,0,0,0,0,9,12,9,3,13,6,18,7,4];
  2391. 	paths[2202] = [4,2,7,3,2,1,4,0,0,0,0,0,9,12,9,3,13,6,19,5,5];
  2392. 	paths[2203] = [4,2,7,3,2,1,5,1,0,0,0,0,9,12,9,3,13,6,19,7,3];
  2393. 	paths[2204] = [4,2,7,3,2,1,5,0,0,0,0,0,9,12,9,3,13,6,20,5,4];
  2394. 	paths[2205] = [4,2,7,3,1,1,4,0,0,0,0,0,9,12,9,3,13,6,22,3,6];
  2395. 	paths[2206] = [4,2,7,3,1,1,5,0,0,0,0,0,9,12,9,3,13,6,23,3,5];
  2396. 	paths[2207] = [2,2,6,0,3,2,4,1,0,0,0,0,9,12,9,4,9,8,5,17,9];
  2397. 	paths[2208] = [2,2,6,1,3,2,4,1,0,0,0,0,9,12,9,4,9,8,5,18,7];
  2398. 	paths[2209] = [2,2,6,0,2,2,4,1,0,0,0,0,9,12,9,4,9,8,6,15,8];
  2399. 	paths[2210] = [2,2,6,1,2,2,4,1,0,0,0,0,9,12,9,4,9,8,6,16,6];
  2400. 	paths[2211] = [2,2,6,0,2,2,4,0,0,0,0,0,9,12,9,4,9,8,7,13,9];
  2401. 	paths[2212] = [2,2,6,1,2,2,4,0,0,0,0,0,9,12,9,4,9,8,7,14,7];
  2402. 	paths[2213] = [2,2,6,1,2,2,5,1,0,0,0,0,9,12,9,4,9,8,7,16,5];
  2403. 	paths[2214] = [2,2,6,0,2,2,5,0,0,0,0,0,9,12,9,4,9,8,8,13,8];
  2404. 	paths[2215] = [2,2,6,1,2,2,5,0,0,0,0,0,9,12,9,4,9,8,8,14,6];
  2405. 	paths[2216] = [2,2,6,2,2,2,4,1,0,0,0,0,9,12,9,4,9,8,9,13,7];
  2406. 	paths[2217] = [2,2,7,1,2,2,4,1,0,0,0,0,9,12,9,4,9,8,9,14,5];
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  2413. 	paths[2224] = [4,2,7,1,2,2,4,1,0,0,0,0,9,12,9,4,9,8,12,12,4];
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  2415. 	paths[2226] = [4,2,7,1,2,2,4,0,0,0,0,0,9,12,9,4,9,8,13,10,5];
  2416. 	paths[2227] = [4,2,7,1,2,2,5,1,0,0,0,0,9,12,9,4,9,8,13,12,3];
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  2418. 	paths[2229] = [4,2,7,1,2,2,5,0,0,0,0,0,9,12,9,4,9,8,14,10,4];
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  2421. 	paths[2232] = [2,2,7,3,2,2,5,1,0,0,0,0,9,12,9,4,9,8,16,9,4];
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  2428. 	paths[2239] = [4,2,7,3,1,2,5,0,0,0,0,0,9,12,9,4,9,8,23,3,5];
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  2430. 	paths[2241] = [2,2,6,1,3,3,4,1,0,0,0,0,9,12,9,5,7,10,5,18,7];
  2431. 	paths[2242] = [2,2,6,0,2,3,4,1,0,0,0,0,9,12,9,5,7,10,6,15,8];
  2432. 	paths[2243] = [2,2,6,1,2,3,4,1,0,0,0,0,9,12,9,5,7,10,6,16,6];
  2433. 	paths[2244] = [2,2,6,0,2,3,4,0,0,0,0,0,9,12,9,5,7,10,7,13,9];
  2434. 	paths[2245] = [2,2,6,1,2,3,4,0,0,0,0,0,9,12,9,5,7,10,7,14,7];
  2435. 	paths[2246] = [2,2,6,1,2,3,5,1,0,0,0,0,9,12,9,5,7,10,7,16,5];
  2436. 	paths[2247] = [2,2,6,0,2,3,5,0,0,0,0,0,9,12,9,5,7,10,8,13,8];
  2437. 	paths[2248] = [2,2,6,1,2,3,5,0,0,0,0,0,9,12,9,5,7,10,8,14,6];
  2438. 	paths[2249] = [2,2,6,2,2,3,4,1,0,0,0,0,9,12,9,5,7,10,9,13,7];
  2439. 	paths[2250] = [2,2,7,1,2,3,4,1,0,0,0,0,9,12,9,5,7,10,9,14,5];
  2440. 	paths[2251] = [2,2,6,2,2,3,4,0,0,0,0,0,9,12,9,5,7,10,10,11,8];
  2441. 	paths[2252] = [2,2,7,1,2,3,4,0,0,0,0,0,9,12,9,5,7,10,10,12,6];
  2442. 	paths[2253] = [2,2,7,1,2,3,5,1,0,0,0,0,9,12,9,5,7,10,10,14,4];
  2443. 	paths[2254] = [2,2,6,2,2,3,5,0,0,0,0,0,9,12,9,5,7,10,11,11,7];
  2444. 	paths[2255] = [2,2,7,1,2,3,5,0,0,0,0,0,9,12,9,5,7,10,11,12,5];
  2445. 	paths[2256] = [2,2,6,3,2,3,4,1,0,0,0,0,9,12,9,5,7,10,12,11,6];
  2446. 	paths[2257] = [4,2,7,1,2,3,4,1,0,0,0,0,9,12,9,5,7,10,12,12,4];
  2447. 	paths[2258] = [2,2,6,3,2,3,4,0,0,0,0,0,9,12,9,5,7,10,13,9,7];
  2448. 	paths[2259] = [4,2,7,1,2,3,4,0,0,0,0,0,9,12,9,5,7,10,13,10,5];
  2449. 	paths[2260] = [4,2,7,1,2,3,5,1,0,0,0,0,9,12,9,5,7,10,13,12,3];
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  2454. 	paths[2265] = [2,2,7,3,2,3,5,1,0,0,0,0,9,12,9,5,7,10,16,9,4];
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  2456. 	paths[2267] = [4,2,7,3,2,3,4,1,0,0,0,0,9,12,9,5,7,10,18,7,4];
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  2459. 	paths[2270] = [4,2,7,3,2,3,5,0,0,0,0,0,9,12,9,5,7,10,20,5,4];
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  2477. 	paths[2288] = [2,2,7,1,2,0,5,0,0,0,0,0,9,12,9,5,8,9,11,12,5];
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  2497. 	paths[2308] = [2,1,6,0,2,1,4,1,0,0,0,0,9,12,9,8,12,7,6,15,8];
  2498. 	paths[2309] = [2,1,6,1,2,1,4,1,0,0,0,0,9,12,9,8,12,7,6,16,6];
  2499. 	paths[2310] = [2,1,6,0,2,1,4,0,0,0,0,0,9,12,9,8,12,7,7,13,9];
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  2501. 	paths[2312] = [2,1,6,1,2,1,5,1,0,0,0,0,9,12,9,8,12,7,7,16,5];
  2502. 	paths[2313] = [2,1,6,0,2,1,5,0,0,0,0,0,9,12,9,8,12,7,8,13,8];
  2503. 	paths[2314] = [2,1,6,1,2,1,5,0,0,0,0,0,9,12,9,8,12,7,8,14,6];
  2504. 	paths[2315] = [2,1,6,2,2,1,4,1,0,0,0,0,9,12,9,8,12,7,9,13,7];
  2505. 	paths[2316] = [2,1,7,1,2,1,4,1,0,0,0,0,9,12,9,8,12,7,9,14,5];
  2506. 	paths[2317] = [2,1,6,2,2,1,4,0,0,0,0,0,9,12,9,8,12,7,10,11,8];
  2507. 	paths[2318] = [2,1,7,1,2,1,4,0,0,0,0,0,9,12,9,8,12,7,10,12,6];
  2508. 	paths[2319] = [2,1,7,1,2,1,5,1,0,0,0,0,9,12,9,8,12,7,10,14,4];
  2509. 	paths[2320] = [2,1,6,2,2,1,5,0,0,0,0,0,9,12,9,8,12,7,11,11,7];
  2510. 	paths[2321] = [2,1,7,1,2,1,5,0,0,0,0,0,9,12,9,8,12,7,11,12,5];
  2511. 	paths[2322] = [2,1,6,3,2,1,4,1,0,0,0,0,9,12,9,8,12,7,12,11,6];
  2512. 	paths[2323] = [4,1,7,1,2,1,4,1,0,0,0,0,9,12,9,8,12,7,12,12,4];
  2513. 	paths[2324] = [2,1,6,3,2,1,4,0,0,0,0,0,9,12,9,8,12,7,13,9,7];
  2514. 	paths[2325] = [4,1,7,1,2,1,4,0,0,0,0,0,9,12,9,8,12,7,13,10,5];
  2515. 	paths[2326] = [4,1,7,1,2,1,5,1,0,0,0,0,9,12,9,8,12,7,13,12,3];
  2516. 	paths[2327] = [2,1,6,3,2,1,5,0,0,0,0,0,9,12,9,8,12,7,14,9,6];
  2517. 	paths[2328] = [4,1,7,1,2,1,5,0,0,0,0,0,9,12,9,8,12,7,14,10,4];
  2518. 	paths[2329] = [2,1,7,3,2,1,4,1,0,0,0,0,9,12,9,8,12,7,15,9,5];
  2519. 	paths[2330] = [2,1,7,3,2,1,4,0,0,0,0,0,9,12,9,8,12,7,16,7,6];
  2520. 	paths[2331] = [2,1,7,3,2,1,5,1,0,0,0,0,9,12,9,8,12,7,16,9,4];
  2521. 	paths[2332] = [2,1,7,3,2,1,5,0,0,0,0,0,9,12,9,8,12,7,17,7,5];
  2522. 	paths[2333] = [4,1,7,3,2,1,4,1,0,0,0,0,9,12,9,8,12,7,18,7,4];
  2523. 	paths[2334] = [4,1,7,3,2,1,4,0,0,0,0,0,9,12,9,8,12,7,19,5,5];
  2524. 	paths[2335] = [4,1,7,3,2,1,5,1,0,0,0,0,9,12,9,8,12,7,19,7,3];
  2525. 	paths[2336] = [4,1,7,3,2,1,5,0,0,0,0,0,9,12,9,8,12,7,20,5,4];
  2526. 	paths[2337] = [4,1,7,3,1,1,4,0,0,0,0,0,9,12,9,8,12,7,22,3,6];
  2527. 	paths[2338] = [4,1,7,3,1,1,5,0,0,0,0,0,9,12,9,8,12,7,23,3,5];
  2528. 	paths[2339] = [2,1,6,0,3,3,4,1,0,0,0,0,9,12,9,10,6,11,5,17,9];
  2529. 	paths[2340] = [2,1,6,1,3,3,4,1,0,0,0,0,9,12,9,10,6,11,5,18,7];
  2530. 	paths[2341] = [2,1,6,0,2,3,4,1,0,0,0,0,9,12,9,10,6,11,6,15,8];
  2531. 	paths[2342] = [2,1,6,1,2,3,4,1,0,0,0,0,9,12,9,10,6,11,6,16,6];
  2532. 	paths[2343] = [2,1,6,0,2,3,4,0,0,0,0,0,9,12,9,10,6,11,7,13,9];
  2533. 	paths[2344] = [2,1,6,1,2,3,4,0,0,0,0,0,9,12,9,10,6,11,7,14,7];
  2534. 	paths[2345] = [2,1,6,1,2,3,5,1,0,0,0,0,9,12,9,10,6,11,7,16,5];
  2535. 	paths[2346] = [2,1,6,0,2,3,5,0,0,0,0,0,9,12,9,10,6,11,8,13,8];
  2536. 	paths[2347] = [2,1,6,1,2,3,5,0,0,0,0,0,9,12,9,10,6,11,8,14,6];
  2537. 	paths[2348] = [2,1,6,2,2,3,4,1,0,0,0,0,9,12,9,10,6,11,9,13,7];
  2538. 	paths[2349] = [2,1,7,1,2,3,4,1,0,0,0,0,9,12,9,10,6,11,9,14,5];
  2539. 	paths[2350] = [2,1,6,2,2,3,4,0,0,0,0,0,9,12,9,10,6,11,10,11,8];
  2540. 	paths[2351] = [2,1,7,1,2,3,4,0,0,0,0,0,9,12,9,10,6,11,10,12,6];
  2541. 	paths[2352] = [2,1,7,1,2,3,5,1,0,0,0,0,9,12,9,10,6,11,10,14,4];
  2542. 	paths[2353] = [2,1,6,2,2,3,5,0,0,0,0,0,9,12,9,10,6,11,11,11,7];
  2543. 	paths[2354] = [2,1,7,1,2,3,5,0,0,0,0,0,9,12,9,10,6,11,11,12,5];
  2544. 	paths[2355] = [2,1,6,3,2,3,4,1,0,0,0,0,9,12,9,10,6,11,12,11,6];
  2545. 	paths[2356] = [4,1,7,1,2,3,4,1,0,0,0,0,9,12,9,10,6,11,12,12,4];
  2546. 	paths[2357] = [2,1,6,3,2,3,4,0,0,0,0,0,9,12,9,10,6,11,13,9,7];
  2547. 	paths[2358] = [4,1,7,1,2,3,4,0,0,0,0,0,9,12,9,10,6,11,13,10,5];
  2548. 	paths[2359] = [4,1,7,1,2,3,5,1,0,0,0,0,9,12,9,10,6,11,13,12,3];
  2549. 	paths[2360] = [2,1,6,3,2,3,5,0,0,0,0,0,9,12,9,10,6,11,14,9,6];
  2550. 	paths[2361] = [4,1,7,1,2,3,5,0,0,0,0,0,9,12,9,10,6,11,14,10,4];
  2551. 	paths[2362] = [2,1,7,3,2,3,4,1,0,0,0,0,9,12,9,10,6,11,15,9,5];
  2552. 	paths[2363] = [2,1,7,3,2,3,4,0,0,0,0,0,9,12,9,10,6,11,16,7,6];
  2553. 	paths[2364] = [2,1,7,3,2,3,5,1,0,0,0,0,9,12,9,10,6,11,16,9,4];
  2554. 	paths[2365] = [2,1,7,3,2,3,5,0,0,0,0,0,9,12,9,10,6,11,17,7,5];
  2555. 	paths[2366] = [4,1,7,3,2,3,4,1,0,0,0,0,9,12,9,10,6,11,18,7,4];
  2556. 	paths[2367] = [4,1,7,3,2,3,4,0,0,0,0,0,9,12,9,10,6,11,19,5,5];
  2557. 	paths[2368] = [4,1,7,3,2,3,5,1,0,0,0,0,9,12,9,10,6,11,19,7,3];
  2558. 	paths[2369] = [4,1,7,3,2,3,5,0,0,0,0,0,9,12,9,10,6,11,20,5,4];
  2559. 	paths[2370] = [4,1,7,3,1,3,4,0,0,0,0,0,9,12,9,10,6,11,22,3,6];
  2560. 	paths[2371] = [4,1,7,3,1,3,5,0,0,0,0,0,9,12,9,10,6,11,23,3,5];
  2561. 	paths[2372] = [0,0,1,0,3,1,0,1,1,0,0,0,11,5,15,2,17,8,5,17,9];
  2562. 	paths[2373] = [0,0,1,1,3,1,0,1,1,0,0,0,11,5,15,2,17,8,5,18,7];
  2563. 	paths[2374] = [1,0,3,3,1,1,0,0,1,0,0,0,11,5,15,2,17,8,22,3,6];
  2564. 	paths[2375] = [1,0,3,3,1,1,1,0,1,0,0,0,11,5,15,2,17,8,23,3,5];
  2565. 	paths[2376] = [2,0,1,0,3,1,0,1,1,0,0,0,11,5,15,3,13,6,5,17,9];
  2566. 	paths[2377] = [2,0,1,1,3,1,0,1,1,0,0,0,11,5,15,3,13,6,5,18,7];
  2567. 	paths[2378] = [4,0,3,3,1,1,0,0,1,0,0,0,11,5,15,3,13,6,22,3,6];
  2568. 	paths[2379] = [4,0,3,3,1,1,1,0,1,0,0,0,11,5,15,3,13,6,23,3,5];
  2569. 	paths[2380] = [2,0,1,0,3,2,0,1,1,0,0,0,11,5,15,4,9,8,5,17,9];
  2570. 	paths[2381] = [2,0,1,1,3,2,0,1,1,0,0,0,11,5,15,4,9,8,5,18,7];
  2571. 	paths[2382] = [4,0,3,3,1,2,0,0,1,0,0,0,11,5,15,4,9,8,22,3,6];
  2572. 	paths[2383] = [4,0,3,3,1,2,1,0,1,0,0,0,11,5,15,4,9,8,23,3,5];
  2573. 	paths[2384] = [2,0,1,0,3,3,0,1,1,0,0,0,11,5,15,5,7,10,5,17,9];
  2574. 	paths[2385] = [2,0,1,1,3,3,0,1,1,0,0,0,11,5,15,5,7,10,5,18,7];
  2575. 	paths[2386] = [4,0,3,3,1,3,0,0,1,0,0,0,11,5,15,5,7,10,22,3,6];
  2576. 	paths[2387] = [4,0,3,3,1,3,1,0,1,0,0,0,11,5,15,5,7,10,23,3,5];
  2577. 	paths[2388] = [2,0,1,0,3,0,0,1,1,0,0,0,11,5,15,5,8,9,5,17,9];
  2578. 	paths[2389] = [2,0,1,1,3,0,0,1,1,0,0,0,11,5,15,5,8,9,5,18,7];
  2579. 	paths[2390] = [4,0,3,3,1,0,0,0,1,0,0,0,11,5,15,5,8,9,22,3,6];
  2580. 	paths[2391] = [4,0,3,3,1,0,1,0,1,0,0,0,11,5,15,5,8,9,23,3,5];
  2581. 	paths[2392] = [2,0,4,0,3,1,0,1,1,0,0,0,11,5,15,8,14,5,5,17,9];
  2582. 	paths[2393] = [2,0,4,1,3,1,0,1,1,0,0,0,11,5,15,8,14,5,5,18,7];
  2583. 	paths[2394] = [4,0,5,3,1,1,0,0,1,0,0,0,11,5,15,8,14,5,22,3,6];
  2584. 	paths[2395] = [4,0,5,3,1,1,1,0,1,0,0,0,11,5,15,8,14,5,23,3,5];
  2585. 	paths[2396] = [2,0,4,0,3,2,0,1,1,0,0,0,11,5,15,9,10,7,5,17,9];
  2586. 	paths[2397] = [2,0,4,1,3,2,0,1,1,0,0,0,11,5,15,9,10,7,5,18,7];
  2587. 	paths[2398] = [4,0,5,3,1,2,0,0,1,0,0,0,11,5,15,9,10,7,22,3,6];
  2588. 	paths[2399] = [4,0,5,3,1,2,1,0,1,0,0,0,11,5,15,9,10,7,23,3,5];
  2589. 	paths[2400] = [0,2,6,0,3,1,4,1,1,0,0,0,11,9,11,2,17,8,5,17,9];
  2590. 	paths[2401] = [0,2,6,1,3,1,4,1,1,0,0,0,11,9,11,2,17,8,5,18,7];
  2591. 	paths[2402] = [0,2,6,0,2,1,4,1,1,0,0,0,11,9,11,2,17,8,6,15,8];
  2592. 	paths[2403] = [0,2,6,1,2,1,4,1,1,0,0,0,11,9,11,2,17,8,6,16,6];
  2593. 	paths[2404] = [0,2,6,0,2,1,4,0,1,0,0,0,11,9,11,2,17,8,7,13,9];
  2594. 	paths[2405] = [0,2,6,1,2,1,4,0,1,0,0,0,11,9,11,2,17,8,7,14,7];
  2595. 	paths[2406] = [0,2,6,1,2,1,5,1,1,0,0,0,11,9,11,2,17,8,7,16,5];
  2596. 	paths[2407] = [0,2,6,0,2,1,5,0,1,0,0,0,11,9,11,2,17,8,8,13,8];
  2597. 	paths[2408] = [0,2,6,1,2,1,5,0,1,0,0,0,11,9,11,2,17,8,8,14,6];
  2598. 	paths[2409] = [0,2,6,2,2,1,4,1,1,0,0,0,11,9,11,2,17,8,9,13,7];
  2599. 	paths[2410] = [0,2,7,1,2,1,4,1,1,0,0,0,11,9,11,2,17,8,9,14,5];
  2600. 	paths[2411] = [0,2,6,2,2,1,4,0,1,0,0,0,11,9,11,2,17,8,10,11,8];
  2601. 	paths[2412] = [0,2,7,1,2,1,4,0,1,0,0,0,11,9,11,2,17,8,10,12,6];
  2602. 	paths[2413] = [0,2,7,1,2,1,5,1,1,0,0,0,11,9,11,2,17,8,10,14,4];
  2603. 	paths[2414] = [0,2,6,2,2,1,5,0,1,0,0,0,11,9,11,2,17,8,11,11,7];
  2604. 	paths[2415] = [0,2,7,1,2,1,5,0,1,0,0,0,11,9,11,2,17,8,11,12,5];
  2605. 	paths[2416] = [0,2,6,3,2,1,4,1,1,0,0,0,11,9,11,2,17,8,12,11,6];
  2606. 	paths[2417] = [1,2,7,1,2,1,4,1,1,0,0,0,11,9,11,2,17,8,12,12,4];
  2607. 	paths[2418] = [0,2,6,3,2,1,4,0,1,0,0,0,11,9,11,2,17,8,13,9,7];
  2608. 	paths[2419] = [1,2,7,1,2,1,4,0,1,0,0,0,11,9,11,2,17,8,13,10,5];
  2609. 	paths[2420] = [1,2,7,1,2,1,5,1,1,0,0,0,11,9,11,2,17,8,13,12,3];
  2610. 	paths[2421] = [0,2,6,3,2,1,5,0,1,0,0,0,11,9,11,2,17,8,14,9,6];
  2611. 	paths[2422] = [1,2,7,1,2,1,5,0,1,0,0,0,11,9,11,2,17,8,14,10,4];
  2612. 	paths[2423] = [0,2,7,3,2,1,4,1,1,0,0,0,11,9,11,2,17,8,15,9,5];
  2613. 	paths[2424] = [0,2,7,3,2,1,4,0,1,0,0,0,11,9,11,2,17,8,16,7,6];
  2614. 	paths[2425] = [0,2,7,3,2,1,5,1,1,0,0,0,11,9,11,2,17,8,16,9,4];
  2615. 	paths[2426] = [0,2,7,3,2,1,5,0,1,0,0,0,11,9,11,2,17,8,17,7,5];
  2616. 	paths[2427] = [1,2,7,3,2,1,4,1,1,0,0,0,11,9,11,2,17,8,18,7,4];
  2617. 	paths[2428] = [1,2,7,3,2,1,4,0,1,0,0,0,11,9,11,2,17,8,19,5,5];
  2618. 	paths[2429] = [1,2,7,3,2,1,5,1,1,0,0,0,11,9,11,2,17,8,19,7,3];
  2619. 	paths[2430] = [1,2,7,3,2,1,5,0,1,0,0,0,11,9,11,2,17,8,20,5,4];
  2620. 	paths[2431] = [1,2,7,3,1,1,4,0,1,0,0,0,11,9,11,2,17,8,22,3,6];
  2621. 	paths[2432] = [1,2,7,3,1,1,5,0,1,0,0,0,11,9,11,2,17,8,23,3,5];
  2622. 	paths[2433] = [2,2,6,0,3,1,4,1,1,0,0,0,11,9,11,3,13,6,5,17,9];
  2623. 	paths[2434] = [2,2,6,1,3,1,4,1,1,0,0,0,11,9,11,3,13,6,5,18,7];
  2624. 	paths[2435] = [2,2,6,0,2,1,4,1,1,0,0,0,11,9,11,3,13,6,6,15,8];
  2625. 	paths[2436] = [2,2,6,1,2,1,4,1,1,0,0,0,11,9,11,3,13,6,6,16,6];
  2626. 	paths[2437] = [2,2,6,0,2,1,4,0,1,0,0,0,11,9,11,3,13,6,7,13,9];
  2627. 	paths[2438] = [2,2,6,1,2,1,4,0,1,0,0,0,11,9,11,3,13,6,7,14,7];
  2628. 	paths[2439] = [2,2,6,1,2,1,5,1,1,0,0,0,11,9,11,3,13,6,7,16,5];
  2629. 	paths[2440] = [2,2,6,0,2,1,5,0,1,0,0,0,11,9,11,3,13,6,8,13,8];
  2630. 	paths[2441] = [2,2,6,1,2,1,5,0,1,0,0,0,11,9,11,3,13,6,8,14,6];
  2631. 	paths[2442] = [2,2,6,2,2,1,4,1,1,0,0,0,11,9,11,3,13,6,9,13,7];
  2632. 	paths[2443] = [2,2,7,1,2,1,4,1,1,0,0,0,11,9,11,3,13,6,9,14,5];
  2633. 	paths[2444] = [2,2,6,2,2,1,4,0,1,0,0,0,11,9,11,3,13,6,10,11,8];
  2634. 	paths[2445] = [2,2,7,1,2,1,4,0,1,0,0,0,11,9,11,3,13,6,10,12,6];
  2635. 	paths[2446] = [2,2,7,1,2,1,5,1,1,0,0,0,11,9,11,3,13,6,10,14,4];
  2636. 	paths[2447] = [2,2,6,2,2,1,5,0,1,0,0,0,11,9,11,3,13,6,11,11,7];
  2637. 	paths[2448] = [2,2,7,1,2,1,5,0,1,0,0,0,11,9,11,3,13,6,11,12,5];
  2638. 	paths[2449] = [2,2,6,3,2,1,4,1,1,0,0,0,11,9,11,3,13,6,12,11,6];
  2639. 	paths[2450] = [4,2,7,1,2,1,4,1,1,0,0,0,11,9,11,3,13,6,12,12,4];
  2640. 	paths[2451] = [2,2,6,3,2,1,4,0,1,0,0,0,11,9,11,3,13,6,13,9,7];
  2641. 	paths[2452] = [4,2,7,1,2,1,4,0,1,0,0,0,11,9,11,3,13,6,13,10,5];
  2642. 	paths[2453] = [4,2,7,1,2,1,5,1,1,0,0,0,11,9,11,3,13,6,13,12,3];
  2643. 	paths[2454] = [2,2,6,3,2,1,5,0,1,0,0,0,11,9,11,3,13,6,14,9,6];
  2644. 	paths[2455] = [4,2,7,1,2,1,5,0,1,0,0,0,11,9,11,3,13,6,14,10,4];
  2645. 	paths[2456] = [2,2,7,3,2,1,4,1,1,0,0,0,11,9,11,3,13,6,15,9,5];
  2646. 	paths[2457] = [2,2,7,3,2,1,4,0,1,0,0,0,11,9,11,3,13,6,16,7,6];
  2647. 	paths[2458] = [2,2,7,3,2,1,5,1,1,0,0,0,11,9,11,3,13,6,16,9,4];
  2648. 	paths[2459] = [2,2,7,3,2,1,5,0,1,0,0,0,11,9,11,3,13,6,17,7,5];
  2649. 	paths[2460] = [4,2,7,3,2,1,4,1,1,0,0,0,11,9,11,3,13,6,18,7,4];
  2650. 	paths[2461] = [4,2,7,3,2,1,4,0,1,0,0,0,11,9,11,3,13,6,19,5,5];
  2651. 	paths[2462] = [4,2,7,3,2,1,5,1,1,0,0,0,11,9,11,3,13,6,19,7,3];
  2652. 	paths[2463] = [4,2,7,3,2,1,5,0,1,0,0,0,11,9,11,3,13,6,20,5,4];
  2653. 	paths[2464] = [4,2,7,3,1,1,4,0,1,0,0,0,11,9,11,3,13,6,22,3,6];
  2654. 	paths[2465] = [4,2,7,3,1,1,5,0,1,0,0,0,11,9,11,3,13,6,23,3,5];
  2655. 	paths[2466] = [2,2,6,0,3,2,4,1,1,0,0,0,11,9,11,4,9,8,5,17,9];
  2656. 	paths[2467] = [2,2,6,1,3,2,4,1,1,0,0,0,11,9,11,4,9,8,5,18,7];
  2657. 	paths[2468] = [2,2,6,0,2,2,4,1,1,0,0,0,11,9,11,4,9,8,6,15,8];
  2658. 	paths[2469] = [2,2,6,1,2,2,4,1,1,0,0,0,11,9,11,4,9,8,6,16,6];
  2659. 	paths[2470] = [2,2,6,0,2,2,4,0,1,0,0,0,11,9,11,4,9,8,7,13,9];
  2660. 	paths[2471] = [2,2,6,1,2,2,4,0,1,0,0,0,11,9,11,4,9,8,7,14,7];
  2661. 	paths[2472] = [2,2,6,1,2,2,5,1,1,0,0,0,11,9,11,4,9,8,7,16,5];
  2662. 	paths[2473] = [2,2,6,0,2,2,5,0,1,0,0,0,11,9,11,4,9,8,8,13,8];
  2663. 	paths[2474] = [2,2,6,1,2,2,5,0,1,0,0,0,11,9,11,4,9,8,8,14,6];
  2664. 	paths[2475] = [2,2,6,2,2,2,4,1,1,0,0,0,11,9,11,4,9,8,9,13,7];
  2665. 	paths[2476] = [2,2,7,1,2,2,4,1,1,0,0,0,11,9,11,4,9,8,9,14,5];
  2666. 	paths[2477] = [2,2,6,2,2,2,4,0,1,0,0,0,11,9,11,4,9,8,10,11,8];
  2667. 	paths[2478] = [2,2,7,1,2,2,4,0,1,0,0,0,11,9,11,4,9,8,10,12,6];
  2668. 	paths[2479] = [2,2,7,1,2,2,5,1,1,0,0,0,11,9,11,4,9,8,10,14,4];
  2669. 	paths[2480] = [2,2,6,2,2,2,5,0,1,0,0,0,11,9,11,4,9,8,11,11,7];
  2670. 	paths[2481] = [2,2,7,1,2,2,5,0,1,0,0,0,11,9,11,4,9,8,11,12,5];
  2671. 	paths[2482] = [2,2,6,3,2,2,4,1,1,0,0,0,11,9,11,4,9,8,12,11,6];
  2672. 	paths[2483] = [4,2,7,1,2,2,4,1,1,0,0,0,11,9,11,4,9,8,12,12,4];
  2673. 	paths[2484] = [2,2,6,3,2,2,4,0,1,0,0,0,11,9,11,4,9,8,13,9,7];
  2674. 	paths[2485] = [4,2,7,1,2,2,4,0,1,0,0,0,11,9,11,4,9,8,13,10,5];
  2675. 	paths[2486] = [4,2,7,1,2,2,5,1,1,0,0,0,11,9,11,4,9,8,13,12,3];
  2676. 	paths[2487] = [2,2,6,3,2,2,5,0,1,0,0,0,11,9,11,4,9,8,14,9,6];
  2677. 	paths[2488] = [4,2,7,1,2,2,5,0,1,0,0,0,11,9,11,4,9,8,14,10,4];
  2678. 	paths[2489] = [2,2,7,3,2,2,4,1,1,0,0,0,11,9,11,4,9,8,15,9,5];
  2679. 	paths[2490] = [2,2,7,3,2,2,4,0,1,0,0,0,11,9,11,4,9,8,16,7,6];
  2680. 	paths[2491] = [2,2,7,3,2,2,5,1,1,0,0,0,11,9,11,4,9,8,16,9,4];
  2681. 	paths[2492] = [2,2,7,3,2,2,5,0,1,0,0,0,11,9,11,4,9,8,17,7,5];
  2682. 	paths[2493] = [4,2,7,3,2,2,4,1,1,0,0,0,11,9,11,4,9,8,18,7,4];
  2683. 	paths[2494] = [4,2,7,3,2,2,4,0,1,0,0,0,11,9,11,4,9,8,19,5,5];
  2684. 	paths[2495] = [4,2,7,3,2,2,5,1,1,0,0,0,11,9,11,4,9,8,19,7,3];
  2685. 	paths[2496] = [4,2,7,3,2,2,5,0,1,0,0,0,11,9,11,4,9,8,20,5,4];
  2686. 	paths[2497] = [4,2,7,3,1,2,4,0,1,0,0,0,11,9,11,4,9,8,22,3,6];
  2687. 	paths[2498] = [4,2,7,3,1,2,5,0,1,0,0,0,11,9,11,4,9,8,23,3,5];
  2688. 	paths[2499] = [2,2,6,0,3,3,4,1,1,0,0,0,11,9,11,5,7,10,5,17,9];
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  2690. 	paths[2501] = [2,2,6,0,2,3,4,1,1,0,0,0,11,9,11,5,7,10,6,15,8];
  2691. 	paths[2502] = [2,2,6,1,2,3,4,1,1,0,0,0,11,9,11,5,7,10,6,16,6];
  2692. 	paths[2503] = [2,2,6,0,2,3,4,0,1,0,0,0,11,9,11,5,7,10,7,13,9];
  2693. 	paths[2504] = [2,2,6,1,2,3,4,0,1,0,0,0,11,9,11,5,7,10,7,14,7];
  2694. 	paths[2505] = [2,2,6,1,2,3,5,1,1,0,0,0,11,9,11,5,7,10,7,16,5];
  2695. 	paths[2506] = [2,2,6,0,2,3,5,0,1,0,0,0,11,9,11,5,7,10,8,13,8];
  2696. 	paths[2507] = [2,2,6,1,2,3,5,0,1,0,0,0,11,9,11,5,7,10,8,14,6];
  2697. 	paths[2508] = [2,2,6,2,2,3,4,1,1,0,0,0,11,9,11,5,7,10,9,13,7];
  2698. 	paths[2509] = [2,2,7,1,2,3,4,1,1,0,0,0,11,9,11,5,7,10,9,14,5];
  2699. 	paths[2510] = [2,2,6,2,2,3,4,0,1,0,0,0,11,9,11,5,7,10,10,11,8];
  2700. 	paths[2511] = [2,2,7,1,2,3,4,0,1,0,0,0,11,9,11,5,7,10,10,12,6];
  2701. 	paths[2512] = [2,2,7,1,2,3,5,1,1,0,0,0,11,9,11,5,7,10,10,14,4];
  2702. 	paths[2513] = [2,2,6,2,2,3,5,0,1,0,0,0,11,9,11,5,7,10,11,11,7];
  2703. 	paths[2514] = [2,2,7,1,2,3,5,0,1,0,0,0,11,9,11,5,7,10,11,12,5];
  2704. 	paths[2515] = [2,2,6,3,2,3,4,1,1,0,0,0,11,9,11,5,7,10,12,11,6];
  2705. 	paths[2516] = [4,2,7,1,2,3,4,1,1,0,0,0,11,9,11,5,7,10,12,12,4];
  2706. 	paths[2517] = [2,2,6,3,2,3,4,0,1,0,0,0,11,9,11,5,7,10,13,9,7];
  2707. 	paths[2518] = [4,2,7,1,2,3,4,0,1,0,0,0,11,9,11,5,7,10,13,10,5];
  2708. 	paths[2519] = [4,2,7,1,2,3,5,1,1,0,0,0,11,9,11,5,7,10,13,12,3];
  2709. 	paths[2520] = [2,2,6,3,2,3,5,0,1,0,0,0,11,9,11,5,7,10,14,9,6];
  2710. 	paths[2521] = [4,2,7,1,2,3,5,0,1,0,0,0,11,9,11,5,7,10,14,10,4];
  2711. 	paths[2522] = [2,2,7,3,2,3,4,1,1,0,0,0,11,9,11,5,7,10,15,9,5];
  2712. 	paths[2523] = [2,2,7,3,2,3,4,0,1,0,0,0,11,9,11,5,7,10,16,7,6];
  2713. 	paths[2524] = [2,2,7,3,2,3,5,1,1,0,0,0,11,9,11,5,7,10,16,9,4];
  2714. 	paths[2525] = [2,2,7,3,2,3,5,0,1,0,0,0,11,9,11,5,7,10,17,7,5];
  2715. 	paths[2526] = [4,2,7,3,2,3,4,1,1,0,0,0,11,9,11,5,7,10,18,7,4];
  2716. 	paths[2527] = [4,2,7,3,2,3,4,0,1,0,0,0,11,9,11,5,7,10,19,5,5];
  2717. 	paths[2528] = [4,2,7,3,2,3,5,1,1,0,0,0,11,9,11,5,7,10,19,7,3];
  2718. 	paths[2529] = [4,2,7,3,2,3,5,0,1,0,0,0,11,9,11,5,7,10,20,5,4];
  2719. 	paths[2530] = [4,2,7,3,1,3,4,0,1,0,0,0,11,9,11,5,7,10,22,3,6];
  2720. 	paths[2531] = [4,2,7,3,1,3,5,0,1,0,0,0,11,9,11,5,7,10,23,3,5];
  2721. 	paths[2532] = [2,2,6,0,3,0,4,1,1,0,0,0,11,9,11,5,8,9,5,17,9];
  2722. 	paths[2533] = [2,2,6,1,3,0,4,1,1,0,0,0,11,9,11,5,8,9,5,18,7];
  2723. 	paths[2534] = [2,2,6,0,2,0,4,1,1,0,0,0,11,9,11,5,8,9,6,15,8];
  2724. 	paths[2535] = [2,2,6,1,2,0,4,1,1,0,0,0,11,9,11,5,8,9,6,16,6];
  2725. 	paths[2536] = [2,2,6,0,2,0,4,0,1,0,0,0,11,9,11,5,8,9,7,13,9];
  2726. 	paths[2537] = [2,2,6,1,2,0,4,0,1,0,0,0,11,9,11,5,8,9,7,14,7];
  2727. 	paths[2538] = [2,2,6,1,2,0,5,1,1,0,0,0,11,9,11,5,8,9,7,16,5];
  2728. 	paths[2539] = [2,2,6,0,2,0,5,0,1,0,0,0,11,9,11,5,8,9,8,13,8];
  2729. 	paths[2540] = [2,2,6,1,2,0,5,0,1,0,0,0,11,9,11,5,8,9,8,14,6];
  2730. 	paths[2541] = [2,2,6,2,2,0,4,1,1,0,0,0,11,9,11,5,8,9,9,13,7];
  2731. 	paths[2542] = [2,2,7,1,2,0,4,1,1,0,0,0,11,9,11,5,8,9,9,14,5];
  2732. 	paths[2543] = [2,2,6,2,2,0,4,0,1,0,0,0,11,9,11,5,8,9,10,11,8];
  2733. 	paths[2544] = [2,2,7,1,2,0,4,0,1,0,0,0,11,9,11,5,8,9,10,12,6];
  2734. 	paths[2545] = [2,2,7,1,2,0,5,1,1,0,0,0,11,9,11,5,8,9,10,14,4];
  2735. 	paths[2546] = [2,2,6,2,2,0,5,0,1,0,0,0,11,9,11,5,8,9,11,11,7];
  2736. 	paths[2547] = [2,2,7,1,2,0,5,0,1,0,0,0,11,9,11,5,8,9,11,12,5];
  2737. 	paths[2548] = [2,2,6,3,2,0,4,1,1,0,0,0,11,9,11,5,8,9,12,11,6];
  2738. 	paths[2549] = [4,2,7,1,2,0,4,1,1,0,0,0,11,9,11,5,8,9,12,12,4];
  2739. 	paths[2550] = [2,2,6,3,2,0,4,0,1,0,0,0,11,9,11,5,8,9,13,9,7];
  2740. 	paths[2551] = [4,2,7,1,2,0,4,0,1,0,0,0,11,9,11,5,8,9,13,10,5];
  2741. 	paths[2552] = [4,2,7,1,2,0,5,1,1,0,0,0,11,9,11,5,8,9,13,12,3];
  2742. 	paths[2553] = [2,2,6,3,2,0,5,0,1,0,0,0,11,9,11,5,8,9,14,9,6];
  2743. 	paths[2554] = [4,2,7,1,2,0,5,0,1,0,0,0,11,9,11,5,8,9,14,10,4];
  2744. 	paths[2555] = [2,2,7,3,2,0,4,1,1,0,0,0,11,9,11,5,8,9,15,9,5];
  2745. 	paths[2556] = [2,2,7,3,2,0,4,0,1,0,0,0,11,9,11,5,8,9,16,7,6];
  2746. 	paths[2557] = [2,2,7,3,2,0,5,1,1,0,0,0,11,9,11,5,8,9,16,9,4];
  2747. 	paths[2558] = [2,2,7,3,2,0,5,0,1,0,0,0,11,9,11,5,8,9,17,7,5];
  2748. 	paths[2559] = [4,2,7,3,2,0,4,1,1,0,0,0,11,9,11,5,8,9,18,7,4];
  2749. 	paths[2560] = [4,2,7,3,2,0,4,0,1,0,0,0,11,9,11,5,8,9,19,5,5];
  2750. 	paths[2561] = [4,2,7,3,2,0,5,1,1,0,0,0,11,9,11,5,8,9,19,7,3];
  2751. 	paths[2562] = [4,2,7,3,2,0,5,0,1,0,0,0,11,9,11,5,8,9,20,5,4];
  2752. 	paths[2563] = [4,2,7,3,1,0,4,0,1,0,0,0,11,9,11,5,8,9,22,3,6];
  2753. 	paths[2564] = [4,2,7,3,1,0,5,0,1,0,0,0,11,9,11,5,8,9,23,3,5];
  2754. 	paths[2565] = [2,1,6,0,3,1,4,1,1,0,0,0,11,9,11,8,12,7,5,17,9];
  2755. 	paths[2566] = [2,1,6,1,3,1,4,1,1,0,0,0,11,9,11,8,12,7,5,18,7];
  2756. 	paths[2567] = [2,1,6,0,2,1,4,1,1,0,0,0,11,9,11,8,12,7,6,15,8];
  2757. 	paths[2568] = [2,1,6,1,2,1,4,1,1,0,0,0,11,9,11,8,12,7,6,16,6];
  2758. 	paths[2569] = [2,1,6,0,2,1,4,0,1,0,0,0,11,9,11,8,12,7,7,13,9];
  2759. 	paths[2570] = [2,1,6,1,2,1,4,0,1,0,0,0,11,9,11,8,12,7,7,14,7];
  2760. 	paths[2571] = [2,1,6,1,2,1,5,1,1,0,0,0,11,9,11,8,12,7,7,16,5];
  2761. 	paths[2572] = [2,1,6,0,2,1,5,0,1,0,0,0,11,9,11,8,12,7,8,13,8];
  2762. 	paths[2573] = [2,1,6,1,2,1,5,0,1,0,0,0,11,9,11,8,12,7,8,14,6];
  2763. 	paths[2574] = [2,1,6,2,2,1,4,1,1,0,0,0,11,9,11,8,12,7,9,13,7];
  2764. 	paths[2575] = [2,1,7,1,2,1,4,1,1,0,0,0,11,9,11,8,12,7,9,14,5];
  2765. 	paths[2576] = [2,1,6,2,2,1,4,0,1,0,0,0,11,9,11,8,12,7,10,11,8];
  2766. 	paths[2577] = [2,1,7,1,2,1,4,0,1,0,0,0,11,9,11,8,12,7,10,12,6];
  2767. 	paths[2578] = [2,1,7,1,2,1,5,1,1,0,0,0,11,9,11,8,12,7,10,14,4];
  2768. 	paths[2579] = [2,1,6,2,2,1,5,0,1,0,0,0,11,9,11,8,12,7,11,11,7];
  2769. 	paths[2580] = [2,1,7,1,2,1,5,0,1,0,0,0,11,9,11,8,12,7,11,12,5];
  2770. 	paths[2581] = [2,1,6,3,2,1,4,1,1,0,0,0,11,9,11,8,12,7,12,11,6];
  2771. 	paths[2582] = [4,1,7,1,2,1,4,1,1,0,0,0,11,9,11,8,12,7,12,12,4];
  2772. 	paths[2583] = [2,1,6,3,2,1,4,0,1,0,0,0,11,9,11,8,12,7,13,9,7];
  2773. 	paths[2584] = [4,1,7,1,2,1,4,0,1,0,0,0,11,9,11,8,12,7,13,10,5];
  2774. 	paths[2585] = [4,1,7,1,2,1,5,1,1,0,0,0,11,9,11,8,12,7,13,12,3];
  2775. 	paths[2586] = [2,1,6,3,2,1,5,0,1,0,0,0,11,9,11,8,12,7,14,9,6];
  2776. 	paths[2587] = [4,1,7,1,2,1,5,0,1,0,0,0,11,9,11,8,12,7,14,10,4];
  2777. 	paths[2588] = [2,1,7,3,2,1,4,1,1,0,0,0,11,9,11,8,12,7,15,9,5];
  2778. 	paths[2589] = [2,1,7,3,2,1,4,0,1,0,0,0,11,9,11,8,12,7,16,7,6];
  2779. 	paths[2590] = [2,1,7,3,2,1,5,1,1,0,0,0,11,9,11,8,12,7,16,9,4];
  2780. 	paths[2591] = [2,1,7,3,2,1,5,0,1,0,0,0,11,9,11,8,12,7,17,7,5];
  2781. 	paths[2592] = [4,1,7,3,2,1,4,1,1,0,0,0,11,9,11,8,12,7,18,7,4];
  2782. 	paths[2593] = [4,1,7,3,2,1,4,0,1,0,0,0,11,9,11,8,12,7,19,5,5];
  2783. 	paths[2594] = [4,1,7,3,2,1,5,1,1,0,0,0,11,9,11,8,12,7,19,7,3];
  2784. 	paths[2595] = [4,1,7,3,2,1,5,0,1,0,0,0,11,9,11,8,12,7,20,5,4];
  2785. 	paths[2596] = [4,1,7,3,1,1,4,0,1,0,0,0,11,9,11,8,12,7,22,3,6];
  2786. 	paths[2597] = [4,1,7,3,1,1,5,0,1,0,0,0,11,9,11,8,12,7,23,3,5];
  2787. 	paths[2598] = [2,1,6,0,3,3,4,1,1,0,0,0,11,9,11,10,6,11,5,17,9];
  2788. 	paths[2599] = [2,1,6,1,3,3,4,1,1,0,0,0,11,9,11,10,6,11,5,18,7];
  2789. 	paths[2600] = [2,1,6,0,2,3,4,1,1,0,0,0,11,9,11,10,6,11,6,15,8];
  2790. 	paths[2601] = [2,1,6,1,2,3,4,1,1,0,0,0,11,9,11,10,6,11,6,16,6];
  2791. 	paths[2602] = [2,1,6,0,2,3,4,0,1,0,0,0,11,9,11,10,6,11,7,13,9];
  2792. 	paths[2603] = [2,1,6,1,2,3,4,0,1,0,0,0,11,9,11,10,6,11,7,14,7];
  2793. 	paths[2604] = [2,1,6,1,2,3,5,1,1,0,0,0,11,9,11,10,6,11,7,16,5];
  2794. 	paths[2605] = [2,1,6,0,2,3,5,0,1,0,0,0,11,9,11,10,6,11,8,13,8];
  2795. 	paths[2606] = [2,1,6,1,2,3,5,0,1,0,0,0,11,9,11,10,6,11,8,14,6];
  2796. 	paths[2607] = [2,1,6,2,2,3,4,1,1,0,0,0,11,9,11,10,6,11,9,13,7];
  2797. 	paths[2608] = [2,1,7,1,2,3,4,1,1,0,0,0,11,9,11,10,6,11,9,14,5];
  2798. 	paths[2609] = [2,1,6,2,2,3,4,0,1,0,0,0,11,9,11,10,6,11,10,11,8];
  2799. 	paths[2610] = [2,1,7,1,2,3,4,0,1,0,0,0,11,9,11,10,6,11,10,12,6];
  2800. 	paths[2611] = [2,1,7,1,2,3,5,1,1,0,0,0,11,9,11,10,6,11,10,14,4];
  2801. 	paths[2612] = [2,1,6,2,2,3,5,0,1,0,0,0,11,9,11,10,6,11,11,11,7];
  2802. 	paths[2613] = [2,1,7,1,2,3,5,0,1,0,0,0,11,9,11,10,6,11,11,12,5];
  2803. 	paths[2614] = [2,1,6,3,2,3,4,1,1,0,0,0,11,9,11,10,6,11,12,11,6];
  2804. 	paths[2615] = [4,1,7,1,2,3,4,1,1,0,0,0,11,9,11,10,6,11,12,12,4];
  2805. 	paths[2616] = [2,1,6,3,2,3,4,0,1,0,0,0,11,9,11,10,6,11,13,9,7];
  2806. 	paths[2617] = [4,1,7,1,2,3,4,0,1,0,0,0,11,9,11,10,6,11,13,10,5];
  2807. 	paths[2618] = [4,1,7,1,2,3,5,1,1,0,0,0,11,9,11,10,6,11,13,12,3];
  2808. 	paths[2619] = [2,1,6,3,2,3,5,0,1,0,0,0,11,9,11,10,6,11,14,9,6];
  2809. 	paths[2620] = [4,1,7,1,2,3,5,0,1,0,0,0,11,9,11,10,6,11,14,10,4];
  2810. 	paths[2621] = [2,1,7,3,2,3,4,1,1,0,0,0,11,9,11,10,6,11,15,9,5];
  2811. 	paths[2622] = [2,1,7,3,2,3,4,0,1,0,0,0,11,9,11,10,6,11,16,7,6];
  2812. 	paths[2623] = [2,1,7,3,2,3,5,1,1,0,0,0,11,9,11,10,6,11,16,9,4];
  2813. 	paths[2624] = [2,1,7,3,2,3,5,0,1,0,0,0,11,9,11,10,6,11,17,7,5];
  2814. 	paths[2625] = [4,1,7,3,2,3,4,1,1,0,0,0,11,9,11,10,6,11,18,7,4];
  2815. 	paths[2626] = [4,1,7,3,2,3,4,0,1,0,0,0,11,9,11,10,6,11,19,5,5];
  2816. 	paths[2627] = [4,1,7,3,2,3,5,1,1,0,0,0,11,9,11,10,6,11,19,7,3];
  2817. 	paths[2628] = [4,1,7,3,2,3,5,0,1,0,0,0,11,9,11,10,6,11,20,5,4];
  2818. 	paths[2629] = [4,1,7,3,1,3,4,0,1,0,0,0,11,9,11,10,6,11,22,3,6];
  2819. 	paths[2630] = [4,1,7,3,1,3,5,0,1,0,0,0,11,9,11,10,6,11,23,3,5];
  2820. 	paths[2631] = [0,0,1,0,0,1,0,1,1,0,0,0,12,4,16,2,17,8,6,15,8];
  2821. 	paths[2632] = [0,0,1,1,0,1,0,1,1,0,0,0,12,4,16,2,17,8,6,16,6];
  2822. 	paths[2633] = [0,0,1,0,0,1,0,0,1,0,0,0,12,4,16,2,17,8,7,13,9];
  2823. 	paths[2634] = [0,0,1,1,0,1,0,0,1,0,0,0,12,4,16,2,17,8,7,14,7];
  2824. 	paths[2635] = [0,0,1,1,0,1,1,1,1,0,0,0,12,4,16,2,17,8,7,16,5];
  2825. 	paths[2636] = [0,0,1,0,0,1,1,0,1,0,0,0,12,4,16,2,17,8,8,13,8];
  2826. 	paths[2637] = [0,0,1,1,0,1,1,0,1,0,0,0,12,4,16,2,17,8,8,14,6];
  2827. 	paths[2638] = [0,0,0,1,0,1,1,1,1,0,0,0,12,4,16,2,17,8,8,19,4];
  2828. 	paths[2639] = [0,0,1,2,0,1,0,1,1,0,0,0,12,4,16,2,17,8,9,13,7];
  2829. 	paths[2640] = [0,0,3,1,0,1,0,1,1,0,0,0,12,4,16,2,17,8,9,14,5];
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  2969. 	paths[2780] = [2,0,3,3,0,0,1,1,1,0,0,0,12,4,16,5,8,9,16,9,4];
  2970. 	paths[2781] = [2,0,3,3,0,0,1,0,1,0,0,0,12,4,16,5,8,9,17,7,5];
  2971. 	paths[2782] = [4,0,3,3,0,0,0,1,1,0,0,0,12,4,16,5,8,9,18,7,4];
  2972. 	paths[2783] = [4,0,3,3,0,0,0,0,1,0,0,0,12,4,16,5,8,9,19,5,5];
  2973. 	paths[2784] = [4,0,3,3,0,0,1,1,1,0,0,0,12,4,16,5,8,9,19,7,3];
  2974. 	paths[2785] = [4,0,3,3,0,0,1,0,1,0,0,0,12,4,16,5,8,9,20,5,4];
  2975. 	paths[2786] = [2,0,4,0,0,1,0,1,1,0,0,0,12,4,16,8,14,5,6,15,8];
  2976. 	paths[2787] = [2,0,4,1,0,1,0,1,1,0,0,0,12,4,16,8,14,5,6,16,6];
  2977. 	paths[2788] = [2,0,4,0,0,1,0,0,1,0,0,0,12,4,16,8,14,5,7,13,9];
  2978. 	paths[2789] = [2,0,4,1,0,1,0,0,1,0,0,0,12,4,16,8,14,5,7,14,7];
  2979. 	paths[2790] = [2,0,4,1,0,1,1,1,1,0,0,0,12,4,16,8,14,5,7,16,5];
  2980. 	paths[2791] = [2,0,4,0,0,1,1,0,1,0,0,0,12,4,16,8,14,5,8,13,8];
  2981. 	paths[2792] = [2,0,4,1,0,1,1,0,1,0,0,0,12,4,16,8,14,5,8,14,6];
  2982. 	paths[2793] = [2,0,4,2,0,1,0,1,1,0,0,0,12,4,16,8,14,5,9,13,7];
  2983. 	paths[2794] = [2,0,5,1,0,1,0,1,1,0,0,0,12,4,16,8,14,5,9,14,5];
  2984. 	paths[2795] = [2,0,4,2,0,1,0,0,1,0,0,0,12,4,16,8,14,5,10,11,8];
  2985. 	paths[2796] = [2,0,5,1,0,1,0,0,1,0,0,0,12,4,16,8,14,5,10,12,6];
  2986. 	paths[2797] = [2,0,5,1,0,1,1,1,1,0,0,0,12,4,16,8,14,5,10,14,4];
  2987. 	paths[2798] = [2,0,4,2,0,1,1,0,1,0,0,0,12,4,16,8,14,5,11,11,7];
  2988. 	paths[2799] = [2,0,5,1,0,1,1,0,1,0,0,0,12,4,16,8,14,5,11,12,5];
  2989. 	paths[2800] = [2,0,4,3,0,1,0,1,1,0,0,0,12,4,16,8,14,5,12,11,6];
  2990. 	paths[2801] = [4,0,5,1,0,1,0,1,1,0,0,0,12,4,16,8,14,5,12,12,4];
  2991. 	paths[2802] = [2,0,4,3,0,1,0,0,1,0,0,0,12,4,16,8,14,5,13,9,7];
  2992. 	paths[2803] = [4,0,5,1,0,1,0,0,1,0,0,0,12,4,16,8,14,5,13,10,5];
  2993. 	paths[2804] = [4,0,5,1,0,1,1,1,1,0,0,0,12,4,16,8,14,5,13,12,3];
  2994. 	paths[2805] = [2,0,4,3,0,1,1,0,1,0,0,0,12,4,16,8,14,5,14,9,6];
  2995. 	paths[2806] = [4,0,5,1,0,1,1,0,1,0,0,0,12,4,16,8,14,5,14,10,4];
  2996. 	paths[2807] = [2,0,5,3,0,1,0,1,1,0,0,0,12,4,16,8,14,5,15,9,5];
  2997. 	paths[2808] = [2,0,5,3,0,1,0,0,1,0,0,0,12,4,16,8,14,5,16,7,6];
  2998. 	paths[2809] = [2,0,5,3,0,1,1,1,1,0,0,0,12,4,16,8,14,5,16,9,4];
  2999. 	paths[2810] = [2,0,5,3,0,1,1,0,1,0,0,0,12,4,16,8,14,5,17,7,5];
  3000. 	paths[2811] = [4,0,5,3,0,1,0,1,1,0,0,0,12,4,16,8,14,5,18,7,4];
  3001. 	paths[2812] = [4,0,5,3,0,1,0,0,1,0,0,0,12,4,16,8,14,5,19,5,5];
  3002. 	paths[2813] = [4,0,5,3,0,1,1,1,1,0,0,0,12,4,16,8,14,5,19,7,3];
  3003. 	paths[2814] = [4,0,5,3,0,1,1,0,1,0,0,0,12,4,16,8,14,5,20,5,4];
  3004. 	paths[2815] = [2,0,4,0,0,2,0,1,1,0,0,0,12,4,16,9,10,7,6,15,8];
  3005. 	paths[2816] = [2,0,4,1,0,2,0,1,1,0,0,0,12,4,16,9,10,7,6,16,6];
  3006. 	paths[2817] = [2,0,4,0,0,2,0,0,1,0,0,0,12,4,16,9,10,7,7,13,9];
  3007. 	paths[2818] = [2,0,4,1,0,2,0,0,1,0,0,0,12,4,16,9,10,7,7,14,7];
  3008. 	paths[2819] = [2,0,4,1,0,2,1,1,1,0,0,0,12,4,16,9,10,7,7,16,5];
  3009. 	paths[2820] = [2,0,4,0,0,2,1,0,1,0,0,0,12,4,16,9,10,7,8,13,8];
  3010. 	paths[2821] = [2,0,4,1,0,2,1,0,1,0,0,0,12,4,16,9,10,7,8,14,6];
  3011. 	paths[2822] = [2,0,4,2,0,2,0,1,1,0,0,0,12,4,16,9,10,7,9,13,7];
  3012. 	paths[2823] = [2,0,5,1,0,2,0,1,1,0,0,0,12,4,16,9,10,7,9,14,5];
  3013. 	paths[2824] = [2,0,4,2,0,2,0,0,1,0,0,0,12,4,16,9,10,7,10,11,8];
  3014. 	paths[2825] = [2,0,5,1,0,2,0,0,1,0,0,0,12,4,16,9,10,7,10,12,6];
  3015. 	paths[2826] = [2,0,5,1,0,2,1,1,1,0,0,0,12,4,16,9,10,7,10,14,4];
  3016. 	paths[2827] = [2,0,4,2,0,2,1,0,1,0,0,0,12,4,16,9,10,7,11,11,7];
  3017. 	paths[2828] = [2,0,5,1,0,2,1,0,1,0,0,0,12,4,16,9,10,7,11,12,5];
  3018. 	paths[2829] = [2,0,4,3,0,2,0,1,1,0,0,0,12,4,16,9,10,7,12,11,6];
  3019. 	paths[2830] = [4,0,5,1,0,2,0,1,1,0,0,0,12,4,16,9,10,7,12,12,4];
  3020. 	paths[2831] = [2,0,4,3,0,2,0,0,1,0,0,0,12,4,16,9,10,7,13,9,7];
  3021. 	paths[2832] = [4,0,5,1,0,2,0,0,1,0,0,0,12,4,16,9,10,7,13,10,5];
  3022. 	paths[2833] = [4,0,5,1,0,2,1,1,1,0,0,0,12,4,16,9,10,7,13,12,3];
  3023. 	paths[2834] = [2,0,4,3,0,2,1,0,1,0,0,0,12,4,16,9,10,7,14,9,6];
  3024. 	paths[2835] = [4,0,5,1,0,2,1,0,1,0,0,0,12,4,16,9,10,7,14,10,4];
  3025. 	paths[2836] = [2,0,5,3,0,2,0,1,1,0,0,0,12,4,16,9,10,7,15,9,5];
  3026. 	paths[2837] = [2,0,5,3,0,2,0,0,1,0,0,0,12,4,16,9,10,7,16,7,6];
  3027. 	paths[2838] = [2,0,5,3,0,2,1,1,1,0,0,0,12,4,16,9,10,7,16,9,4];
  3028. 	paths[2839] = [2,0,5,3,0,2,1,0,1,0,0,0,12,4,16,9,10,7,17,7,5];
  3029. 	paths[2840] = [4,0,5,3,0,2,0,1,1,0,0,0,12,4,16,9,10,7,18,7,4];
  3030. 	paths[2841] = [4,0,5,3,0,2,0,0,1,0,0,0,12,4,16,9,10,7,19,5,5];
  3031. 	paths[2842] = [4,0,5,3,0,2,1,1,1,0,0,0,12,4,16,9,10,7,19,7,3];
  3032. 	paths[2843] = [4,0,5,3,0,2,1,0,1,0,0,0,12,4,16,9,10,7,20,5,4];
  3033. }
  3034.  
  3035. function planPath() {
  3036. 	//alrighty, let's go through all the paths, and see if you have enough gears for any of them
  3037. 	var havethis = [];	var haves = 0;
  3038. 	var remaining = [];
  3039. 	var donthave = [];	var donts = 0;
  3040. 	//read the gearwheel amounts
  3041. 	getGM();
  3042. 	var array = wheeldata.split(",");
  3043. 	var mybs = array[0];
  3044. 	var mybm = array[1];
  3045. 	var mybl = array[2];
  3046. 	var myss = array[3];
  3047. 	var mysm = array[4];
  3048. 	var mysl = array[5];
  3049. 	var mygs = array[6];
  3050. 	var mygm = array[7];
  3051. 	var mygl = array[8];
  3052. //0,2,1,0,3,1,2,1,0,0,0,0,3,10,11,2,17,8
  3053. //0 1 2 3 4 5 6 7 8 - - - . .  . 
  3054. 	var totalpaths = paths.length;
  3055. 	for (var i = 0; i < totalpaths; i++) {
  3056. 		var tba = paths[i].slice();
  3057. 		if ((tba[12] <= mybs) && (tba[13] <= mybm) && (tba[14] <= mybl)
  3058. 		&&  (tba[15] <= myss) && (tba[16] <= mysm) && (tba[17] <= mysl)
  3059. 		&&  (tba[18] <= mygs) && (tba[19] <= mygm) && (tba[20] <= mygl)) {
  3060. 			//this path is possible with the current amount of gears! :o
  3061. 			havethis[haves] = tba.slice();
  3062. 			var tba2 = [];
  3063. 			tba2[0] = mybs - tba[12];	tba2[1] = mybm - tba[13];	tba2[2] = mybl - tba[14];
  3064. 			tba2[3] = myss - tba[15];	tba2[4] = mysm - tba[16];	tba2[5] = mysl - tba[17];
  3065. 			tba2[6] = mygs - tba[18];	tba2[7] = mygm - tba[19];	tba2[8] = mygl - tba[20];
  3066. 			tba2[9] = 0;	//this'll be used for sorting
  3067. 			remaining[haves] = tba2.slice();
  3068. 			haves = haves + 1;
  3069. 		} else {
  3070. 			tba[12] = Math.max(0,tba[12]-mybs);
  3071. 			tba[13] = Math.max(0,tba[13]-mybm);
  3072. 			tba[14] = Math.max(0,tba[14]-mybl);
  3073. 			tba[15] = Math.max(0,tba[15]-myss);
  3074. 			tba[16] = Math.max(0,tba[16]-mysm);
  3075. 			tba[17] = Math.max(0,tba[17]-mysl);
  3076. 			tba[18] = Math.max(0,tba[18]-mygs);
  3077. 			tba[19] = Math.max(0,tba[19]-mygm);
  3078. 			tba[20] = Math.max(0,tba[20]-mygl);
  3079. 			tba[21] = tba[12]+tba[13]+tba[14]+tba[15]+tba[16]+tba[17]+tba[18]+tba[19]+tba[20];
  3080. 			donthave[donts] = tba.slice();
  3081. 			donts = donts + 1;
  3082. 		}
  3083. 	}
  3084.  
  3085. 	if(haves > 0) {
  3086. 		//there are solutions! :o
  3087. 		//first off, let's sort them
  3088. 		for (var i1 = 0; i1 < haves; i1++) {
  3089. 			for (var i2 = i1+1; i2 < haves; i2++) {
  3090. 				var small1  = remaining[i1][0]+remaining[i1][3]+remaining[i1][6];
  3091. 				var medium1 = remaining[i1][1]+remaining[i1][4]+remaining[i1][7];
  3092. 				var large1  = remaining[i1][2]+remaining[i1][5]+remaining[i1][8];
  3093. 				var small2  = remaining[i2][0]+remaining[i2][3]+remaining[i2][6];;
  3094. 				var medium2 = remaining[i2][1]+remaining[i2][4]+remaining[i2][7];;
  3095. 				var large2  = remaining[i2][2]+remaining[i2][5]+remaining[i2][8];;
  3096. 				if ( ((small1 > small2)) || ((small1 == small2) && (medium1 > medium2))
  3097. 				||   ((small1 == small2) && (medium1 == medium2) && (large1 > large2)) ) {
  3098. 					//first path is more awesome than second
  3099. 					remaining[i2][9] = remaining[i2][9] + 1;
  3100. 				} else {
  3101. 					//second path is more awesome than first
  3102. 					remaining[i1][9] = remaining[i1][9] + 1;
  3103. 				}
  3104. 			}
  3105. 		}
  3106. 		newhaves = [];
  3107. 		newremains = [];
  3108. 		for (var i = 0; i < haves; i++) {
  3109. 			var whichspot = remaining[i][9];
  3110. 			if (whichspot < 10) {
  3111. 				newhaves[whichspot]   = havethis[i].slice();
  3112. 				var oldba = remaining[i].slice();
  3113. 				var newba = [];
  3114. 				for (var i2 = 0; i2 < 9; i2++) {	newba[i2] = oldba[i2];		}
  3115. 				newremains[whichspot] = newba.slice();
  3116. 			}
  3117. 		}
  3118. 		var haves2 = Math.min(haves,10);
  3119. 		var watchEl = document.evaluate("//font/b", document, null,
  3120. 			XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3121. 		var addstring = "";
  3122. 		addstring += haves + " possible paths exist with current amount of gears.<br>";
  3123. 		if (haves >= 10) {
  3124. 			addstring += "Pick 1 path from the top 10 with 0-9 keys.<br>";
  3125. 		} else {
  3126. 			addstring += "Pick a path with 0-"+(haves-1) + " keys.<br>";
  3127. 		}
  3128. 		addstring += "Remaining gearwheels after each path:<br>";
  3129. 		for (var i = 0; i < haves2; i++) {
  3130. 			addstring += "Path "+i+": ";
  3131. 			addstring += "Bronze: ";
  3132. 			addstring += "Small " + newremains[i][0] + ", ";
  3133. 			addstring += "Medium " + newremains[i][1] + ", ";
  3134. 			addstring += "Large " + newremains[i][2] + "; ";
  3135. 			addstring += "Silver: ";
  3136. 			addstring += "Small " + newremains[i][3] + ", ";
  3137. 			addstring += "Medium " + newremains[i][4] + ", ";
  3138. 			addstring += "Large " + newremains[i][5] + "; ";
  3139. 			addstring += "Gold: ";
  3140. 			addstring += "Small " + newremains[i][6] + ", ";
  3141. 			addstring += "Medium " + newremains[i][7] + ", ";
  3142. 			addstring += "Large " + newremains[i][8] + ".<br>";
  3143. 		}
  3144. 		watchEl.parentNode.parentNode.innerHTML += "<br>" + addstring;
  3145. 		
  3146. 	} else {
  3147. 		//eh, let's give an estimate of how many gears you'll still need
  3148. 		var stillneeded = 999;
  3149. 		for (var i = 0; i < donts; i++) {
  3150. 			stillneeded = Math.min(stillneeded,donthave[i][21]);
  3151. 		}
  3152. 		alert("You don't have enough gears: you'll need at least "+stillneeded+" more gears");
  3153. 	}
  3154. }
  3155.  
  3156. function readGears() {
  3157. 	var snap = document.evaluate("//ul[@id='DragContainer7']/li[not(contains(@id,'XX'))]/font[1]/text()|//ul[@id='DragContainer7']/li[not(contains(@id,'XX'))]/text()",
  3158. 	document, null, XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null);
  3159. 	var bronzesmall  = 0;		var bronzemedium = 0;		var bronzelarge = 0;
  3160. 	var silversmall  = 0;		var silvermedium = 0;		var silverlarge = 0;
  3161. 	var goldsmall  = 0;		var goldmedium = 0;		var goldlarge = 0;
  3162. 	for (var i = 0; i < snap.snapshotLength-1; i += 2) {
  3163. 		var itemname = snap.snapshotItem(i+1).textContent;
  3164. 		if (itemname.indexOf("Bronze Gearwheel") == 1) {
  3165. 			if (itemname.indexOf("Small") > 0) {
  3166. 				bronzesmall = parseInt(snap.snapshotItem(i).textContent);
  3167. 			} else if (itemname.indexOf("Medium") > 0) {
  3168. 				bronzemedium = parseInt(snap.snapshotItem(i).textContent);
  3169. 			} else if (itemname.indexOf("Large") > 0) {
  3170. 				bronzelarge = parseInt(snap.snapshotItem(i).textContent);
  3171. 			}
  3172. 		} else if (itemname.indexOf("Silver Gearwheel") == 1) {
  3173. 			if (itemname.indexOf("Small") > 0) {
  3174. 				silversmall = parseInt(snap.snapshotItem(i).textContent);
  3175. 			} else if (itemname.indexOf("Medium") > 0) {
  3176. 				silvermedium = parseInt(snap.snapshotItem(i).textContent);
  3177. 			} else if (itemname.indexOf("Large") > 0) {
  3178. 				silverlarge = parseInt(snap.snapshotItem(i).textContent);
  3179. 			}
  3180. 		} else if (itemname.indexOf("Gold Gearwheel") == 1) {
  3181. 			if (itemname.indexOf("Small") > 0) {
  3182. 				goldsmall = parseInt(snap.snapshotItem(i).textContent);
  3183. 			} else if (itemname.indexOf("Medium") > 0) {
  3184. 				goldmedium = parseInt(snap.snapshotItem(i).textContent);
  3185. 			} else if (itemname.indexOf("Large") > 0) {
  3186. 				goldlarge = parseInt(snap.snapshotItem(i).textContent);
  3187. 			}
  3188. 		}
  3189. 	}
  3190. 	wheeldata = bronzesmall+","+bronzemedium+","+bronzelarge
  3191. 		+","+silversmall+","+silvermedium+","+silverlarge
  3192. 		+","+goldsmall+","+goldmedium+","+goldlarge;
  3193. 	GM_setValue(playername+"_wheels", wheeldata);
  3194. }
  3195.  
  3196. function getGM() {
  3197. 	wheeldata = GM_getValue(playername+"_wheels", "0,0,0,0,0,0,0,0,0");
  3198. 	pathdata = GM_getValue(playername+"_path", "-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1");
  3199. }
  3200.  
  3201. function fillInPath() {
  3202. 	var patharray = pathdata.split(",");
  3203. 	var thisstepsolutionid = patharray[stepscompleted];
  3204. 	if (thisstepsolutionid >= 0) {
  3205. 		var pickthis = solutions[stepscompleted][thisstepsolutionid];
  3206. 		var pickbs = pickthis[0];	var pickbm = pickthis[1];	var pickbl = pickthis[2];
  3207. 		var pickss = pickthis[3];	var picksm = pickthis[4];	var picksl = pickthis[5];
  3208. 		var pickgs = pickthis[6];	var pickgm = pickthis[7];	var pickgl = pickthis[8];
  3209. 		var bsfield = document.evaluate("//input [@name='gear-0-1']",
  3210. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3211. 		bsfield.value = Math.abs(pickbs);
  3212. 		if (pickbs < 0) {
  3213. 			document.evaluate("//input [@name='gear-0-1r' and @value='1']",document, null,
  3214. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3215. 		}
  3216. 		var bmfield = document.evaluate("//input [@name='gear-0-2']",
  3217. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3218. 		bmfield.value = Math.abs(pickbm);
  3219. 		if (pickbm < 0) {
  3220. 			document.evaluate("//input [@name='gear-0-2r' and @value='1']",document, null,
  3221. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3222. 		}
  3223. 		var blfield = document.evaluate("//input [@name='gear-0-3']",
  3224. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3225. 		blfield.value = Math.abs(pickbl);
  3226. 		if (pickbl < 0) {
  3227. 			document.evaluate("//input [@name='gear-0-3r' and @value='1']",document, null,
  3228. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3229. 		}
  3230. 		var ssfield = document.evaluate("//input [@name='gear-1-1']",
  3231. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3232. 		ssfield.value = Math.abs(pickss);
  3233. 		if (pickss < 0) {
  3234. 			document.evaluate("//input [@name='gear-1-1r' and @value='1']",document, null,
  3235. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3236. 		}
  3237. 		var smfield = document.evaluate("//input [@name='gear-1-2']",
  3238. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3239. 		if (picksm < 0) {
  3240. 			document.evaluate("//input [@name='gear-1-2r' and @value='1']",document, null,
  3241. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3242. 		}
  3243. 		smfield.value = Math.abs(picksm);
  3244. 		var slfield = document.evaluate("//input [@name='gear-1-3']",
  3245. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3246. 		slfield.value = Math.abs(picksl);
  3247. 		if (picksl < 0) {
  3248. 			document.evaluate("//input [@name='gear-1-3r' and @value='1']",document, null,
  3249. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3250. 		}
  3251. 		var gsfield = document.evaluate("//input [@name='gear-2-1']",
  3252. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3253. 		gsfield.value = Math.abs(pickgs);
  3254. 		if (pickgs < 0) {
  3255. 			document.evaluate("//input [@name='gear-2-1r' and @value='1']",document, null,
  3256. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3257. 		}
  3258. 		var gmfield = document.evaluate("//input [@name='gear-2-2']",
  3259. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3260. 		if (pickgm < 0) {
  3261. 			document.evaluate("//input [@name='gear-2-2r' and @value='1']",document, null,
  3262. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3263. 		}
  3264. 		gmfield.value = Math.abs(pickgm);
  3265. 		var glfield = document.evaluate("//input [@name='gear-2-3']",
  3266. 			document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3267. 		glfield.value = Math.abs(pickgl);
  3268. 		if (pickgl < 0) {
  3269. 			document.evaluate("//input [@name='gear-2-3r' and @value='1']",document, null,
  3270. 			XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
  3271. 		}
  3272. 	}
  3273. }
  3274.  
  3275. function checkProgress() {
  3276. 	var progressEl = document.evaluate("//tr[2]/td/b",
  3277. 			document, null, XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3278. 	var completeEl = document.evaluate("//tr[2]/td/b[2]",
  3279. 			document, null, XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
  3280. 	var progresstext = progressEl.textContent;
  3281. 	stepscompleted = 0*(1+progresstext.indexOf("Cracked")) + 3*(1+progresstext.indexOf("Tarnished"))
  3282. 			+ 6*(1+progresstext.indexOf("Dinged")) + 9*(1+progresstext.indexOf("New"));
  3283. 	stepscompleted += parseInt(completeEl.textContent.substring(0,1));
  3284. }
  3285.  
  3286. function process_event(event) {
  3287. 	if (event.keyCode == 67) {		//c for "create paths"
  3288. 		if (document.forms.namedItem( "mixit" ) ) {
  3289. 			makePaths(stepscompleted);
  3290. 		}
  3291. 	} else if (event.keyCode == 80) {	//p for "plan path"
  3292. 		if (document.forms.namedItem( "mixit" ) ) {
  3293. 			planPath();
  3294. 		}
  3295. 	} else if (event.keyCode >= 48 && event.keyCode <= 57) {	//0-9 for "pick path"
  3296. 		var option = event.keyCode - 48;
  3297. 		if (newhaves.length == 0) {
  3298. 			//alert("No possible paths exist. Press \"p\" to create paths, or acquire more gearwheels.");
  3299. 			//don't throw a warning - player might want to change things manually
  3300. 		} else if (newhaves.length < option) {
  3301. 			alert(option+" is not a possible path (only "+newhaves.length+" exist)");
  3302. 		} else {
  3303. 			//store the path, then make the script select a route
  3304. 			var tba = newhaves[option].slice();
  3305. 			pathdata = ""+tba[0];
  3306. 			for (var i = 1; i < 12; i++) {	pathdata = pathdata + "," + tba[i];	}
  3307. 			GM_setValue(playername+"_path",pathdata);
  3308. 			fillInPath();
  3309. 		}
  3310. 	}
  3311. 	//1-0 for picking a path (assuming paths have been planned... perhaps use a boolean for that
  3312. 	//if a path has been picked, auto-fill in stuff on pageload
  3313. }
  3314. window.addEventListener("keyup", process_event, false);