// ==UserScript==
// @name BvS Watchmaker Script (Gold)
// @namespace Conster
// @description Tells you which path to take in order to fix your watch
// @version 1.4
// @history 1.4 New domain - animecubedgaming.com - Channel28
// @history 1.3 Now https compatible (Updated by Channel28)
// @history 1.2 Added grant permissions (Updated by Channel28)
// @history 1.1 Upgrade to Gold
// @history 1.0 Initial Release
// @include http*://*animecubed.com/billy/bvs/workshop.html
// @include http*://*animecubed.com/billy/bvs/itemorder.html
// @include http*://*animecubedgaming.com/billy/bvs/workshop.html
// @include http*://*animecubedgaming.com/billy/bvs/itemorder.html
// @grant GM_getValue
// @grant GM_setValue
// ==/UserScript==
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]];
var solutions = [];
makeList(); //need this for if a path has been picked: makes the solutions for each step
var paths = [];
var temppaths = [];
var paths = [];
var playername = "";
loadPlayerName();
var wheeldata = "";
var pathdata = "";
var newhaves = []; //this is the top 10 of possible paths
var newremains = [];
var stepscompleted = 0;
if (document.forms.namedItem( "mixit" ) ) {
//at Workshop page
makeStartPaths();
checkProgress();
getGM();
var patharray = pathdata.split(",");
if (patharray[stepscompleted] != -1) {
//a path has been planned - let's fill in the fields
fillInPath();
}
} else {
//at item reorganization page
readGears();
}
function loadPlayerName() {
try {
var temp = document.getElementsByName("player")[0];
if ((temp == null) || (temp.localName.toLowerCase() == "text") || (temp.value.length == 0))
return;
playername = temp.value;
} catch(e) {
alert("Exception!\n\nError name: " + e.name + "\nError message: " + e.message);
}
}
function makeList() {
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]];
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]];
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]];
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]];
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]];
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]];
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]];
var sol7 = [[1,-2,1,-1,0,1,-2,1,2],[1,-2,1,-1,0,1,1,3,1]];
var sol8 = [[0,4,4,0,1,0,0,0,1],[2,-1,6,0,1,0,0,0,1]];
solutions = [sol0,sol1,sol2,sol3,sol4,sol5,sol6,sol7,sol8];
}
function makePaths(starthere) {
//step 1: make paths using solely the step you're currently at
var currentsolutions = solutions[starthere];
paths = [];
var oldpaths = [];
for (var index2 = 0; index2 < currentsolutions.length; index2++) {
var inserthere = paths.length;
var tba = [-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0];
//too lazy to shorten the list to only 9 repair steps, as that requires changing the indexes in numerous places
var ba2 = currentsolutions[index2].slice();
tba[starthere] = index2;
tba[12] = Math.abs(ba2[0]);
tba[13] = Math.abs(ba2[1]);
tba[14] = Math.abs(ba2[2]);
tba[15] = Math.abs(ba2[3]);
tba[16] = Math.abs(ba2[4]);
tba[17] = Math.abs(ba2[5]);
tba[18] = Math.abs(ba2[6]);
tba[19] = Math.abs(ba2[7]);
tba[20] = Math.abs(ba2[8]);
paths[inserthere] = tba.slice();
}
//step 2: go through the remaining bronze+silver+gold steps 1 by 1 (if there are any)
var starthere2 = starthere+1;
for (var index = starthere2; index < 9; index++) {//index is current step
alert(index + " steps completed\n"
+paths.length+" paths so far\n"
+solutions[index].length+" solutions for this step");
oldpaths = [];
for (var i = 0; i < paths.length; i++) { oldpaths[i] = paths[i].slice(); }
paths = [];
temppaths = [];
currentsolutions = solutions[index];
for (var index1 = 0; index1 < oldpaths.length; index1++) {//index1 is an old path
for (var index2 = 0; index2 < currentsolutions.length; index2++) {//index2 is a solution for current step
var newba = oldpaths[index1].slice();
var ba2 = currentsolutions[index2].slice();
newba[index] = index2;
newba[12] = newba[12] + Math.abs(ba2[0]);
newba[13] = newba[13] + Math.abs(ba2[1]);
newba[14] = newba[14] + Math.abs(ba2[2]);
newba[15] = newba[15] + Math.abs(ba2[3]);
newba[16] = newba[16] + Math.abs(ba2[4]);
newba[17] = newba[17] + Math.abs(ba2[5]);
newba[18] = newba[18] + Math.abs(ba2[6]);
newba[19] = newba[19] + Math.abs(ba2[7]);
newba[20] = newba[20] + Math.abs(ba2[8]);
addToPathsBSG(newba);
}
}
//temppaths may contain null-entries
var addhere = 0;
for (var i = 0; i < temppaths.length; i++) {
if (temppaths[i] != null) {
paths[addhere] = temppaths[i].slice();
addhere = addhere + 1;
}
}
}
alert("Done! "+paths.length+" total paths found.\nNow press \"p\" to calculate which paths you have enough gears for.");
//debug stuff
var debug = ""+paths.length+"\n";
for (var i = 0; i < paths.length; i++) {
for (var i2 = 0; i2 < paths[i].length; i2++) {
debug = debug + paths[i][i2] + ",";
}
debug = debug + "\n";
}
//alert(debug);
}
function addToPathsBSG(path) {
var notdoneyet = true;
var addhere = temppaths.length;
for (var index = 0; notdoneyet && (index < temppaths.length); index++) {
if (temppaths[index] == null) {
//we have a removed entry: insert this path in lowest available slot if it passes the test
addhere = Math.min(addhere,index);
} else {
var compare = temppaths[index].slice();
var bsc = Math.abs(compare[12]); var bss = Math.abs(path[12]);
var bmc = Math.abs(compare[13]); var bms = Math.abs(path[13]);
var blc = Math.abs(compare[14]); var bls = Math.abs(path[14]);
var ssc = Math.abs(compare[15]); var sss = Math.abs(path[15]);
var smc = Math.abs(compare[16]); var sms = Math.abs(path[16]);
var slc = Math.abs(compare[17]); var sls = Math.abs(path[17]);
var gsc = Math.abs(compare[18]); var gss = Math.abs(path[18]);
var gmc = Math.abs(compare[19]); var gms = Math.abs(path[19]);
var glc = Math.abs(compare[20]); var gls = Math.abs(path[20]);
if ((bsc <= bss) && (bmc <= bms) && (blc <= bls)
&& (ssc <= sss) && (smc <= sms) && (slc <= sls)
&& (gsc <= gss) && (gmc <= gms) && (glc <= gls)) {
//an existing path is superior on all fronts
notdoneyet = false;
} else if ((bsc >= bss) && (bmc >= bms) && (blc >= bls)
&& (ssc >= sss) && (smc >= sms) && (slc >= sls)
&& (gsc >= gss) && (gmc >= gms) && (glc >= gls)) {
//the new path is superior to an existing path on all fronts
//remove the old path
temppaths[index] = null;
addhere = Math.min(addhere,index);
}
}
}
if (notdoneyet) {
//we've reached the end, and the path is not inferior
temppaths[addhere] = path.slice();
}
}
function makeStartPaths() {
paths[0] = [0,2,1,0,3,1,2,1,0,0,0,0,3,10,11,2,17,8,5,17,9];
paths[1] = [0,2,1,1,3,1,2,1,0,0,0,0,3,10,11,2,17,8,5,18,7];
paths[2] = [0,2,1,0,2,1,2,1,0,0,0,0,3,10,11,2,17,8,6,15,8];
paths[3] = [0,2,1,1,2,1,2,1,0,0,0,0,3,10,11,2,17,8,6,16,6];
paths[4] = [0,2,1,0,2,1,2,0,0,0,0,0,3,10,11,2,17,8,7,13,9];
paths[5] = [0,2,1,1,2,1,2,0,0,0,0,0,3,10,11,2,17,8,7,14,7];
paths[6] = [0,2,1,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,7,16,5];
paths[7] = [0,2,1,0,2,1,3,0,0,0,0,0,3,10,11,2,17,8,8,13,8];
paths[8] = [0,2,1,1,2,1,3,0,0,0,0,0,3,10,11,2,17,8,8,14,6];
paths[9] = [0,2,0,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,8,19,4];
paths[10] = [0,2,1,2,2,1,2,1,0,0,0,0,3,10,11,2,17,8,9,13,7];
paths[11] = [0,2,3,1,2,1,2,1,0,0,0,0,3,10,11,2,17,8,9,14,5];
paths[12] = [0,2,1,2,2,1,2,0,0,0,0,0,3,10,11,2,17,8,10,11,8];
paths[13] = [0,2,3,1,2,1,2,0,0,0,0,0,3,10,11,2,17,8,10,12,6];
paths[14] = [0,2,3,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,10,14,4];
paths[15] = [0,2,1,2,2,1,3,0,0,0,0,0,3,10,11,2,17,8,11,11,7];
paths[16] = [0,2,3,1,2,1,3,0,0,0,0,0,3,10,11,2,17,8,11,12,5];
paths[17] = [1,2,0,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,11,17,3];
paths[18] = [0,2,1,3,2,1,2,1,0,0,0,0,3,10,11,2,17,8,12,11,6];
paths[19] = [1,2,3,1,2,1,2,1,0,0,0,0,3,10,11,2,17,8,12,12,4];
paths[20] = [0,2,1,3,2,1,2,0,0,0,0,0,3,10,11,2,17,8,13,9,7];
paths[21] = [1,2,3,1,2,1,2,0,0,0,0,0,3,10,11,2,17,8,13,10,5];
paths[22] = [1,2,3,1,2,1,3,1,0,0,0,0,3,10,11,2,17,8,13,12,3];
paths[23] = [0,2,1,3,2,1,3,0,0,0,0,0,3,10,11,2,17,8,14,9,6];
paths[24] = [1,2,3,1,2,1,3,0,0,0,0,0,3,10,11,2,17,8,14,10,4];
paths[25] = [0,2,3,3,2,1,2,1,0,0,0,0,3,10,11,2,17,8,15,9,5];
paths[26] = [0,2,3,3,2,1,2,0,0,0,0,0,3,10,11,2,17,8,16,7,6];
paths[27] = [0,2,3,3,2,1,3,1,0,0,0,0,3,10,11,2,17,8,16,9,4];
paths[28] = [0,2,3,3,2,1,3,0,0,0,0,0,3,10,11,2,17,8,17,7,5];
paths[29] = [1,2,3,3,2,1,2,1,0,0,0,0,3,10,11,2,17,8,18,7,4];
paths[30] = [1,2,3,3,2,1,2,0,0,0,0,0,3,10,11,2,17,8,19,5,5];
paths[31] = [1,2,3,3,2,1,3,1,0,0,0,0,3,10,11,2,17,8,19,7,3];
paths[32] = [1,2,3,3,2,1,3,0,0,0,0,0,3,10,11,2,17,8,20,5,4];
paths[33] = [1,2,3,3,1,1,2,0,0,0,0,0,3,10,11,2,17,8,22,3,6];
paths[34] = [1,2,3,3,1,1,3,0,0,0,0,0,3,10,11,2,17,8,23,3,5];
paths[35] = [2,2,1,0,3,1,2,1,0,0,0,0,3,10,11,3,13,6,5,17,9];
paths[36] = [2,2,1,1,3,1,2,1,0,0,0,0,3,10,11,3,13,6,5,18,7];
paths[37] = [2,2,1,0,2,1,2,1,0,0,0,0,3,10,11,3,13,6,6,15,8];
paths[38] = [2,2,1,1,2,1,2,1,0,0,0,0,3,10,11,3,13,6,6,16,6];
paths[39] = [2,2,1,0,2,1,2,0,0,0,0,0,3,10,11,3,13,6,7,13,9];
paths[40] = [2,2,1,1,2,1,2,0,0,0,0,0,3,10,11,3,13,6,7,14,7];
paths[41] = [2,2,1,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,7,16,5];
paths[42] = [2,2,1,0,2,1,3,0,0,0,0,0,3,10,11,3,13,6,8,13,8];
paths[43] = [2,2,1,1,2,1,3,0,0,0,0,0,3,10,11,3,13,6,8,14,6];
paths[44] = [2,2,0,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,8,19,4];
paths[45] = [2,2,1,2,2,1,2,1,0,0,0,0,3,10,11,3,13,6,9,13,7];
paths[46] = [2,2,3,1,2,1,2,1,0,0,0,0,3,10,11,3,13,6,9,14,5];
paths[47] = [2,2,1,2,2,1,2,0,0,0,0,0,3,10,11,3,13,6,10,11,8];
paths[48] = [2,2,3,1,2,1,2,0,0,0,0,0,3,10,11,3,13,6,10,12,6];
paths[49] = [2,2,3,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,10,14,4];
paths[50] = [2,2,1,2,2,1,3,0,0,0,0,0,3,10,11,3,13,6,11,11,7];
paths[51] = [2,2,3,1,2,1,3,0,0,0,0,0,3,10,11,3,13,6,11,12,5];
paths[52] = [4,2,0,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,11,17,3];
paths[53] = [2,2,1,3,2,1,2,1,0,0,0,0,3,10,11,3,13,6,12,11,6];
paths[54] = [4,2,3,1,2,1,2,1,0,0,0,0,3,10,11,3,13,6,12,12,4];
paths[55] = [2,2,1,3,2,1,2,0,0,0,0,0,3,10,11,3,13,6,13,9,7];
paths[56] = [4,2,3,1,2,1,2,0,0,0,0,0,3,10,11,3,13,6,13,10,5];
paths[57] = [4,2,3,1,2,1,3,1,0,0,0,0,3,10,11,3,13,6,13,12,3];
paths[58] = [2,2,1,3,2,1,3,0,0,0,0,0,3,10,11,3,13,6,14,9,6];
paths[59] = [4,2,3,1,2,1,3,0,0,0,0,0,3,10,11,3,13,6,14,10,4];
paths[60] = [2,2,3,3,2,1,2,1,0,0,0,0,3,10,11,3,13,6,15,9,5];
paths[61] = [2,2,3,3,2,1,2,0,0,0,0,0,3,10,11,3,13,6,16,7,6];
paths[62] = [2,2,3,3,2,1,3,1,0,0,0,0,3,10,11,3,13,6,16,9,4];
paths[63] = [2,2,3,3,2,1,3,0,0,0,0,0,3,10,11,3,13,6,17,7,5];
paths[64] = [4,2,3,3,2,1,2,1,0,0,0,0,3,10,11,3,13,6,18,7,4];
paths[65] = [4,2,3,3,2,1,2,0,0,0,0,0,3,10,11,3,13,6,19,5,5];
paths[66] = [4,2,3,3,2,1,3,1,0,0,0,0,3,10,11,3,13,6,19,7,3];
paths[67] = [4,2,3,3,2,1,3,0,0,0,0,0,3,10,11,3,13,6,20,5,4];
paths[68] = [4,2,3,3,1,1,2,0,0,0,0,0,3,10,11,3,13,6,22,3,6];
paths[69] = [4,2,3,3,1,1,3,0,0,0,0,0,3,10,11,3,13,6,23,3,5];
paths[70] = [2,2,1,0,3,2,2,1,0,0,0,0,3,10,11,4,9,8,5,17,9];
paths[71] = [2,2,1,1,3,2,2,1,0,0,0,0,3,10,11,4,9,8,5,18,7];
paths[72] = [2,2,1,0,2,2,2,1,0,0,0,0,3,10,11,4,9,8,6,15,8];
paths[73] = [2,2,1,1,2,2,2,1,0,0,0,0,3,10,11,4,9,8,6,16,6];
paths[74] = [2,2,1,0,2,2,2,0,0,0,0,0,3,10,11,4,9,8,7,13,9];
paths[75] = [2,2,1,1,2,2,2,0,0,0,0,0,3,10,11,4,9,8,7,14,7];
paths[76] = [2,2,1,1,2,2,3,1,0,0,0,0,3,10,11,4,9,8,7,16,5];
paths[77] = [2,2,1,0,2,2,3,0,0,0,0,0,3,10,11,4,9,8,8,13,8];
paths[78] = [2,2,1,1,2,2,3,0,0,0,0,0,3,10,11,4,9,8,8,14,6];
paths[79] = [2,2,0,1,2,2,3,1,0,0,0,0,3,10,11,4,9,8,8,19,4];
paths[80] = [2,2,1,2,2,2,2,1,0,0,0,0,3,10,11,4,9,8,9,13,7];
paths[81] = [2,2,3,1,2,2,2,1,0,0,0,0,3,10,11,4,9,8,9,14,5];
paths[82] = [2,2,1,2,2,2,2,0,0,0,0,0,3,10,11,4,9,8,10,11,8];
paths[83] = [2,2,3,1,2,2,2,0,0,0,0,0,3,10,11,4,9,8,10,12,6];
paths[84] = [2,2,3,1,2,2,3,1,0,0,0,0,3,10,11,4,9,8,10,14,4];
paths[85] = [2,2,1,2,2,2,3,0,0,0,0,0,3,10,11,4,9,8,11,11,7];
paths[86] = [2,2,3,1,2,2,3,0,0,0,0,0,3,10,11,4,9,8,11,12,5];
paths[87] = [4,2,0,1,2,2,3,1,0,0,0,0,3,10,11,4,9,8,11,17,3];
paths[88] = [2,2,1,3,2,2,2,1,0,0,0,0,3,10,11,4,9,8,12,11,6];
paths[89] = [4,2,3,1,2,2,2,1,0,0,0,0,3,10,11,4,9,8,12,12,4];
paths[90] = [2,2,1,3,2,2,2,0,0,0,0,0,3,10,11,4,9,8,13,9,7];
paths[91] = [4,2,3,1,2,2,2,0,0,0,0,0,3,10,11,4,9,8,13,10,5];
paths[92] = [4,2,3,1,2,2,3,1,0,0,0,0,3,10,11,4,9,8,13,12,3];
paths[93] = [2,2,1,3,2,2,3,0,0,0,0,0,3,10,11,4,9,8,14,9,6];
paths[94] = [4,2,3,1,2,2,3,0,0,0,0,0,3,10,11,4,9,8,14,10,4];
paths[95] = [2,2,3,3,2,2,2,1,0,0,0,0,3,10,11,4,9,8,15,9,5];
paths[96] = [2,2,3,3,2,2,2,0,0,0,0,0,3,10,11,4,9,8,16,7,6];
paths[97] = [2,2,3,3,2,2,3,1,0,0,0,0,3,10,11,4,9,8,16,9,4];
paths[98] = [2,2,3,3,2,2,3,0,0,0,0,0,3,10,11,4,9,8,17,7,5];
paths[99] = [4,2,3,3,2,2,2,1,0,0,0,0,3,10,11,4,9,8,18,7,4];
paths[100] = [4,2,3,3,2,2,2,0,0,0,0,0,3,10,11,4,9,8,19,5,5];
paths[101] = [4,2,3,3,2,2,3,1,0,0,0,0,3,10,11,4,9,8,19,7,3];
paths[102] = [4,2,3,3,2,2,3,0,0,0,0,0,3,10,11,4,9,8,20,5,4];
paths[103] = [4,2,3,3,1,2,2,0,0,0,0,0,3,10,11,4,9,8,22,3,6];
paths[104] = [4,2,3,3,1,2,3,0,0,0,0,0,3,10,11,4,9,8,23,3,5];
paths[105] = [2,2,1,0,3,3,2,1,0,0,0,0,3,10,11,5,7,10,5,17,9];
paths[106] = [2,2,1,1,3,3,2,1,0,0,0,0,3,10,11,5,7,10,5,18,7];
paths[107] = [2,2,1,0,2,3,2,1,0,0,0,0,3,10,11,5,7,10,6,15,8];
paths[108] = [2,2,1,1,2,3,2,1,0,0,0,0,3,10,11,5,7,10,6,16,6];
paths[109] = [2,2,1,0,2,3,2,0,0,0,0,0,3,10,11,5,7,10,7,13,9];
paths[110] = [2,2,1,1,2,3,2,0,0,0,0,0,3,10,11,5,7,10,7,14,7];
paths[111] = [2,2,1,1,2,3,3,1,0,0,0,0,3,10,11,5,7,10,7,16,5];
paths[112] = [2,2,1,0,2,3,3,0,0,0,0,0,3,10,11,5,7,10,8,13,8];
paths[113] = [2,2,1,1,2,3,3,0,0,0,0,0,3,10,11,5,7,10,8,14,6];
paths[114] = [2,2,0,1,2,3,3,1,0,0,0,0,3,10,11,5,7,10,8,19,4];
paths[115] = [2,2,1,2,2,3,2,1,0,0,0,0,3,10,11,5,7,10,9,13,7];
paths[116] = [2,2,3,1,2,3,2,1,0,0,0,0,3,10,11,5,7,10,9,14,5];
paths[117] = [2,2,1,2,2,3,2,0,0,0,0,0,3,10,11,5,7,10,10,11,8];
paths[118] = [2,2,3,1,2,3,2,0,0,0,0,0,3,10,11,5,7,10,10,12,6];
paths[119] = [2,2,3,1,2,3,3,1,0,0,0,0,3,10,11,5,7,10,10,14,4];
paths[120] = [2,2,1,2,2,3,3,0,0,0,0,0,3,10,11,5,7,10,11,11,7];
paths[121] = [2,2,3,1,2,3,3,0,0,0,0,0,3,10,11,5,7,10,11,12,5];
paths[122] = [4,2,0,1,2,3,3,1,0,0,0,0,3,10,11,5,7,10,11,17,3];
paths[123] = [2,2,1,3,2,3,2,1,0,0,0,0,3,10,11,5,7,10,12,11,6];
paths[124] = [4,2,3,1,2,3,2,1,0,0,0,0,3,10,11,5,7,10,12,12,4];
paths[125] = [2,2,1,3,2,3,2,0,0,0,0,0,3,10,11,5,7,10,13,9,7];
paths[126] = [4,2,3,1,2,3,2,0,0,0,0,0,3,10,11,5,7,10,13,10,5];
paths[127] = [4,2,3,1,2,3,3,1,0,0,0,0,3,10,11,5,7,10,13,12,3];
paths[128] = [2,2,1,3,2,3,3,0,0,0,0,0,3,10,11,5,7,10,14,9,6];
paths[129] = [4,2,3,1,2,3,3,0,0,0,0,0,3,10,11,5,7,10,14,10,4];
paths[130] = [2,2,3,3,2,3,2,1,0,0,0,0,3,10,11,5,7,10,15,9,5];
paths[131] = [2,2,3,3,2,3,2,0,0,0,0,0,3,10,11,5,7,10,16,7,6];
paths[132] = [2,2,3,3,2,3,3,1,0,0,0,0,3,10,11,5,7,10,16,9,4];
paths[133] = [2,2,3,3,2,3,3,0,0,0,0,0,3,10,11,5,7,10,17,7,5];
paths[134] = [4,2,3,3,2,3,2,1,0,0,0,0,3,10,11,5,7,10,18,7,4];
paths[135] = [4,2,3,3,2,3,2,0,0,0,0,0,3,10,11,5,7,10,19,5,5];
paths[136] = [4,2,3,3,2,3,3,1,0,0,0,0,3,10,11,5,7,10,19,7,3];
paths[137] = [4,2,3,3,2,3,3,0,0,0,0,0,3,10,11,5,7,10,20,5,4];
paths[138] = [4,2,3,3,1,3,2,0,0,0,0,0,3,10,11,5,7,10,22,3,6];
paths[139] = [4,2,3,3,1,3,3,0,0,0,0,0,3,10,11,5,7,10,23,3,5];
paths[140] = [2,2,1,0,3,0,2,1,0,0,0,0,3,10,11,5,8,9,5,17,9];
paths[141] = [2,2,1,1,3,0,2,1,0,0,0,0,3,10,11,5,8,9,5,18,7];
paths[142] = [2,2,1,0,2,0,2,1,0,0,0,0,3,10,11,5,8,9,6,15,8];
paths[143] = [2,2,1,1,2,0,2,1,0,0,0,0,3,10,11,5,8,9,6,16,6];
paths[144] = [2,2,1,0,2,0,2,0,0,0,0,0,3,10,11,5,8,9,7,13,9];
paths[145] = [2,2,1,1,2,0,2,0,0,0,0,0,3,10,11,5,8,9,7,14,7];
paths[146] = [2,2,1,1,2,0,3,1,0,0,0,0,3,10,11,5,8,9,7,16,5];
paths[147] = [2,2,1,0,2,0,3,0,0,0,0,0,3,10,11,5,8,9,8,13,8];
paths[148] = [2,2,1,1,2,0,3,0,0,0,0,0,3,10,11,5,8,9,8,14,6];
paths[149] = [2,2,0,1,2,0,3,1,0,0,0,0,3,10,11,5,8,9,8,19,4];
paths[150] = [2,2,1,2,2,0,2,1,0,0,0,0,3,10,11,5,8,9,9,13,7];
paths[151] = [2,2,3,1,2,0,2,1,0,0,0,0,3,10,11,5,8,9,9,14,5];
paths[152] = [2,2,1,2,2,0,2,0,0,0,0,0,3,10,11,5,8,9,10,11,8];
paths[153] = [2,2,3,1,2,0,2,0,0,0,0,0,3,10,11,5,8,9,10,12,6];
paths[154] = [2,2,3,1,2,0,3,1,0,0,0,0,3,10,11,5,8,9,10,14,4];
paths[155] = [2,2,1,2,2,0,3,0,0,0,0,0,3,10,11,5,8,9,11,11,7];
paths[156] = [2,2,3,1,2,0,3,0,0,0,0,0,3,10,11,5,8,9,11,12,5];
paths[157] = [4,2,0,1,2,0,3,1,0,0,0,0,3,10,11,5,8,9,11,17,3];
paths[158] = [2,2,1,3,2,0,2,1,0,0,0,0,3,10,11,5,8,9,12,11,6];
paths[159] = [4,2,3,1,2,0,2,1,0,0,0,0,3,10,11,5,8,9,12,12,4];
paths[160] = [2,2,1,3,2,0,2,0,0,0,0,0,3,10,11,5,8,9,13,9,7];
paths[161] = [4,2,3,1,2,0,2,0,0,0,0,0,3,10,11,5,8,9,13,10,5];
paths[162] = [4,2,3,1,2,0,3,1,0,0,0,0,3,10,11,5,8,9,13,12,3];
paths[163] = [2,2,1,3,2,0,3,0,0,0,0,0,3,10,11,5,8,9,14,9,6];
paths[164] = [4,2,3,1,2,0,3,0,0,0,0,0,3,10,11,5,8,9,14,10,4];
paths[165] = [2,2,3,3,2,0,2,1,0,0,0,0,3,10,11,5,8,9,15,9,5];
paths[166] = [2,2,3,3,2,0,2,0,0,0,0,0,3,10,11,5,8,9,16,7,6];
paths[167] = [2,2,3,3,2,0,3,1,0,0,0,0,3,10,11,5,8,9,16,9,4];
paths[168] = [2,2,3,3,2,0,3,0,0,0,0,0,3,10,11,5,8,9,17,7,5];
paths[169] = [4,2,3,3,2,0,2,1,0,0,0,0,3,10,11,5,8,9,18,7,4];
paths[170] = [4,2,3,3,2,0,2,0,0,0,0,0,3,10,11,5,8,9,19,5,5];
paths[171] = [4,2,3,3,2,0,3,1,0,0,0,0,3,10,11,5,8,9,19,7,3];
paths[172] = [4,2,3,3,2,0,3,0,0,0,0,0,3,10,11,5,8,9,20,5,4];
paths[173] = [4,2,3,3,1,0,2,0,0,0,0,0,3,10,11,5,8,9,22,3,6];
paths[174] = [4,2,3,3,1,0,3,0,0,0,0,0,3,10,11,5,8,9,23,3,5];
paths[175] = [2,1,1,0,3,1,2,1,0,0,0,0,3,10,11,8,12,7,5,17,9];
paths[176] = [2,1,1,1,3,1,2,1,0,0,0,0,3,10,11,8,12,7,5,18,7];
paths[177] = [2,1,1,0,2,1,2,1,0,0,0,0,3,10,11,8,12,7,6,15,8];
paths[178] = [2,1,1,1,2,1,2,1,0,0,0,0,3,10,11,8,12,7,6,16,6];
paths[179] = [2,1,1,0,2,1,2,0,0,0,0,0,3,10,11,8,12,7,7,13,9];
paths[180] = [2,1,1,1,2,1,2,0,0,0,0,0,3,10,11,8,12,7,7,14,7];
paths[181] = [2,1,1,1,2,1,3,1,0,0,0,0,3,10,11,8,12,7,7,16,5];
paths[182] = [2,1,1,0,2,1,3,0,0,0,0,0,3,10,11,8,12,7,8,13,8];
paths[183] = [2,1,1,1,2,1,3,0,0,0,0,0,3,10,11,8,12,7,8,14,6];
paths[184] = [2,1,0,1,2,1,3,1,0,0,0,0,3,10,11,8,12,7,8,19,4];
paths[185] = [2,1,1,2,2,1,2,1,0,0,0,0,3,10,11,8,12,7,9,13,7];
paths[186] = [2,1,3,1,2,1,2,1,0,0,0,0,3,10,11,8,12,7,9,14,5];
paths[187] = [2,1,1,2,2,1,2,0,0,0,0,0,3,10,11,8,12,7,10,11,8];
paths[188] = [2,1,3,1,2,1,2,0,0,0,0,0,3,10,11,8,12,7,10,12,6];
paths[189] = [2,1,3,1,2,1,3,1,0,0,0,0,3,10,11,8,12,7,10,14,4];
paths[190] = [2,1,1,2,2,1,3,0,0,0,0,0,3,10,11,8,12,7,11,11,7];
paths[191] = [2,1,3,1,2,1,3,0,0,0,0,0,3,10,11,8,12,7,11,12,5];
paths[192] = [4,1,0,1,2,1,3,1,0,0,0,0,3,10,11,8,12,7,11,17,3];
paths[193] = [2,1,1,3,2,1,2,1,0,0,0,0,3,10,11,8,12,7,12,11,6];
paths[194] = [4,1,3,1,2,1,2,1,0,0,0,0,3,10,11,8,12,7,12,12,4];
paths[195] = [2,1,1,3,2,1,2,0,0,0,0,0,3,10,11,8,12,7,13,9,7];
paths[196] = [4,1,3,1,2,1,2,0,0,0,0,0,3,10,11,8,12,7,13,10,5];
paths[197] = [4,1,3,1,2,1,3,1,0,0,0,0,3,10,11,8,12,7,13,12,3];
paths[198] = [2,1,1,3,2,1,3,0,0,0,0,0,3,10,11,8,12,7,14,9,6];
paths[199] = [4,1,3,1,2,1,3,0,0,0,0,0,3,10,11,8,12,7,14,10,4];
paths[200] = [2,1,3,3,2,1,2,1,0,0,0,0,3,10,11,8,12,7,15,9,5];
paths[201] = [2,1,3,3,2,1,2,0,0,0,0,0,3,10,11,8,12,7,16,7,6];
paths[202] = [2,1,3,3,2,1,3,1,0,0,0,0,3,10,11,8,12,7,16,9,4];
paths[203] = [2,1,3,3,2,1,3,0,0,0,0,0,3,10,11,8,12,7,17,7,5];
paths[204] = [4,1,3,3,2,1,2,1,0,0,0,0,3,10,11,8,12,7,18,7,4];
paths[205] = [4,1,3,3,2,1,2,0,0,0,0,0,3,10,11,8,12,7,19,5,5];
paths[206] = [4,1,3,3,2,1,3,1,0,0,0,0,3,10,11,8,12,7,19,7,3];
paths[207] = [4,1,3,3,2,1,3,0,0,0,0,0,3,10,11,8,12,7,20,5,4];
paths[208] = [4,1,3,3,1,1,2,0,0,0,0,0,3,10,11,8,12,7,22,3,6];
paths[209] = [4,1,3,3,1,1,3,0,0,0,0,0,3,10,11,8,12,7,23,3,5];
paths[210] = [2,2,4,0,3,1,2,1,0,0,0,0,3,10,11,8,14,5,5,17,9];
paths[211] = [2,2,4,1,3,1,2,1,0,0,0,0,3,10,11,8,14,5,5,18,7];
paths[212] = [2,2,4,0,2,1,2,1,0,0,0,0,3,10,11,8,14,5,6,15,8];
paths[213] = [2,2,4,1,2,1,2,1,0,0,0,0,3,10,11,8,14,5,6,16,6];
paths[214] = [2,2,4,0,2,1,2,0,0,0,0,0,3,10,11,8,14,5,7,13,9];
paths[215] = [2,2,4,1,2,1,2,0,0,0,0,0,3,10,11,8,14,5,7,14,7];
paths[216] = [2,2,4,1,2,1,3,1,0,0,0,0,3,10,11,8,14,5,7,16,5];
paths[217] = [2,2,4,0,2,1,3,0,0,0,0,0,3,10,11,8,14,5,8,13,8];
paths[218] = [2,2,4,1,2,1,3,0,0,0,0,0,3,10,11,8,14,5,8,14,6];
paths[219] = [2,2,4,2,2,1,2,1,0,0,0,0,3,10,11,8,14,5,9,13,7];
paths[220] = [2,2,5,1,2,1,2,1,0,0,0,0,3,10,11,8,14,5,9,14,5];
paths[221] = [2,2,4,2,2,1,2,0,0,0,0,0,3,10,11,8,14,5,10,11,8];
paths[222] = [2,2,5,1,2,1,2,0,0,0,0,0,3,10,11,8,14,5,10,12,6];
paths[223] = [2,2,5,1,2,1,3,1,0,0,0,0,3,10,11,8,14,5,10,14,4];
paths[224] = [2,2,4,2,2,1,3,0,0,0,0,0,3,10,11,8,14,5,11,11,7];
paths[225] = [2,2,5,1,2,1,3,0,0,0,0,0,3,10,11,8,14,5,11,12,5];
paths[226] = [2,2,4,3,2,1,2,1,0,0,0,0,3,10,11,8,14,5,12,11,6];
paths[227] = [4,2,5,1,2,1,2,1,0,0,0,0,3,10,11,8,14,5,12,12,4];
paths[228] = [2,2,4,3,2,1,2,0,0,0,0,0,3,10,11,8,14,5,13,9,7];
paths[229] = [4,2,5,1,2,1,2,0,0,0,0,0,3,10,11,8,14,5,13,10,5];
paths[230] = [4,2,5,1,2,1,3,1,0,0,0,0,3,10,11,8,14,5,13,12,3];
paths[231] = [2,2,4,3,2,1,3,0,0,0,0,0,3,10,11,8,14,5,14,9,6];
paths[232] = [4,2,5,1,2,1,3,0,0,0,0,0,3,10,11,8,14,5,14,10,4];
paths[233] = [2,2,5,3,2,1,2,1,0,0,0,0,3,10,11,8,14,5,15,9,5];
paths[234] = [2,2,5,3,2,1,2,0,0,0,0,0,3,10,11,8,14,5,16,7,6];
paths[235] = [2,2,5,3,2,1,3,1,0,0,0,0,3,10,11,8,14,5,16,9,4];
paths[236] = [2,2,5,3,2,1,3,0,0,0,0,0,3,10,11,8,14,5,17,7,5];
paths[237] = [4,2,5,3,2,1,2,1,0,0,0,0,3,10,11,8,14,5,18,7,4];
paths[238] = [4,2,5,3,2,1,2,0,0,0,0,0,3,10,11,8,14,5,19,5,5];
paths[239] = [4,2,5,3,2,1,3,1,0,0,0,0,3,10,11,8,14,5,19,7,3];
paths[240] = [4,2,5,3,2,1,3,0,0,0,0,0,3,10,11,8,14,5,20,5,4];
paths[241] = [4,2,5,3,1,1,2,0,0,0,0,0,3,10,11,8,14,5,22,3,6];
paths[242] = [4,2,5,3,1,1,3,0,0,0,0,0,3,10,11,8,14,5,23,3,5];
paths[243] = [2,2,4,0,3,2,2,1,0,0,0,0,3,10,11,9,10,7,5,17,9];
paths[244] = [2,2,4,1,3,2,2,1,0,0,0,0,3,10,11,9,10,7,5,18,7];
paths[245] = [2,2,4,0,2,2,2,1,0,0,0,0,3,10,11,9,10,7,6,15,8];
paths[246] = [2,2,4,1,2,2,2,1,0,0,0,0,3,10,11,9,10,7,6,16,6];
paths[247] = [2,2,4,0,2,2,2,0,0,0,0,0,3,10,11,9,10,7,7,13,9];
paths[248] = [2,2,4,1,2,2,2,0,0,0,0,0,3,10,11,9,10,7,7,14,7];
paths[249] = [2,2,4,1,2,2,3,1,0,0,0,0,3,10,11,9,10,7,7,16,5];
paths[250] = [2,2,4,0,2,2,3,0,0,0,0,0,3,10,11,9,10,7,8,13,8];
paths[251] = [2,2,4,1,2,2,3,0,0,0,0,0,3,10,11,9,10,7,8,14,6];
paths[252] = [2,2,4,2,2,2,2,1,0,0,0,0,3,10,11,9,10,7,9,13,7];
paths[253] = [2,2,5,1,2,2,2,1,0,0,0,0,3,10,11,9,10,7,9,14,5];
paths[254] = [2,2,4,2,2,2,2,0,0,0,0,0,3,10,11,9,10,7,10,11,8];
paths[255] = [2,2,5,1,2,2,2,0,0,0,0,0,3,10,11,9,10,7,10,12,6];
paths[256] = [2,2,5,1,2,2,3,1,0,0,0,0,3,10,11,9,10,7,10,14,4];
paths[257] = [2,2,4,2,2,2,3,0,0,0,0,0,3,10,11,9,10,7,11,11,7];
paths[258] = [2,2,5,1,2,2,3,0,0,0,0,0,3,10,11,9,10,7,11,12,5];
paths[259] = [2,2,4,3,2,2,2,1,0,0,0,0,3,10,11,9,10,7,12,11,6];
paths[260] = [4,2,5,1,2,2,2,1,0,0,0,0,3,10,11,9,10,7,12,12,4];
paths[261] = [2,2,4,3,2,2,2,0,0,0,0,0,3,10,11,9,10,7,13,9,7];
paths[262] = [4,2,5,1,2,2,2,0,0,0,0,0,3,10,11,9,10,7,13,10,5];
paths[263] = [4,2,5,1,2,2,3,1,0,0,0,0,3,10,11,9,10,7,13,12,3];
paths[264] = [2,2,4,3,2,2,3,0,0,0,0,0,3,10,11,9,10,7,14,9,6];
paths[265] = [4,2,5,1,2,2,3,0,0,0,0,0,3,10,11,9,10,7,14,10,4];
paths[266] = [2,2,5,3,2,2,2,1,0,0,0,0,3,10,11,9,10,7,15,9,5];
paths[267] = [2,2,5,3,2,2,2,0,0,0,0,0,3,10,11,9,10,7,16,7,6];
paths[268] = [2,2,5,3,2,2,3,1,0,0,0,0,3,10,11,9,10,7,16,9,4];
paths[269] = [2,2,5,3,2,2,3,0,0,0,0,0,3,10,11,9,10,7,17,7,5];
paths[270] = [4,2,5,3,2,2,2,1,0,0,0,0,3,10,11,9,10,7,18,7,4];
paths[271] = [4,2,5,3,2,2,2,0,0,0,0,0,3,10,11,9,10,7,19,5,5];
paths[272] = [4,2,5,3,2,2,3,1,0,0,0,0,3,10,11,9,10,7,19,7,3];
paths[273] = [4,2,5,3,2,2,3,0,0,0,0,0,3,10,11,9,10,7,20,5,4];
paths[274] = [4,2,5,3,1,2,2,0,0,0,0,0,3,10,11,9,10,7,22,3,6];
paths[275] = [4,2,5,3,1,2,3,0,0,0,0,0,3,10,11,9,10,7,23,3,5];
paths[276] = [2,1,1,0,3,3,2,1,0,0,0,0,3,10,11,10,6,11,5,17,9];
paths[277] = [2,1,1,1,3,3,2,1,0,0,0,0,3,10,11,10,6,11,5,18,7];
paths[278] = [2,1,1,0,2,3,2,1,0,0,0,0,3,10,11,10,6,11,6,15,8];
paths[279] = [2,1,1,1,2,3,2,1,0,0,0,0,3,10,11,10,6,11,6,16,6];
paths[280] = [2,1,1,0,2,3,2,0,0,0,0,0,3,10,11,10,6,11,7,13,9];
paths[281] = [2,1,1,1,2,3,2,0,0,0,0,0,3,10,11,10,6,11,7,14,7];
paths[282] = [2,1,1,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,7,16,5];
paths[283] = [2,1,1,0,2,3,3,0,0,0,0,0,3,10,11,10,6,11,8,13,8];
paths[284] = [2,1,1,1,2,3,3,0,0,0,0,0,3,10,11,10,6,11,8,14,6];
paths[285] = [2,1,0,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,8,19,4];
paths[286] = [2,1,1,2,2,3,2,1,0,0,0,0,3,10,11,10,6,11,9,13,7];
paths[287] = [2,1,3,1,2,3,2,1,0,0,0,0,3,10,11,10,6,11,9,14,5];
paths[288] = [2,1,1,2,2,3,2,0,0,0,0,0,3,10,11,10,6,11,10,11,8];
paths[289] = [2,1,3,1,2,3,2,0,0,0,0,0,3,10,11,10,6,11,10,12,6];
paths[290] = [2,1,3,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,10,14,4];
paths[291] = [2,1,1,2,2,3,3,0,0,0,0,0,3,10,11,10,6,11,11,11,7];
paths[292] = [2,1,3,1,2,3,3,0,0,0,0,0,3,10,11,10,6,11,11,12,5];
paths[293] = [4,1,0,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,11,17,3];
paths[294] = [2,1,1,3,2,3,2,1,0,0,0,0,3,10,11,10,6,11,12,11,6];
paths[295] = [4,1,3,1,2,3,2,1,0,0,0,0,3,10,11,10,6,11,12,12,4];
paths[296] = [2,1,1,3,2,3,2,0,0,0,0,0,3,10,11,10,6,11,13,9,7];
paths[297] = [4,1,3,1,2,3,2,0,0,0,0,0,3,10,11,10,6,11,13,10,5];
paths[298] = [4,1,3,1,2,3,3,1,0,0,0,0,3,10,11,10,6,11,13,12,3];
paths[299] = [2,1,1,3,2,3,3,0,0,0,0,0,3,10,11,10,6,11,14,9,6];
paths[300] = [4,1,3,1,2,3,3,0,0,0,0,0,3,10,11,10,6,11,14,10,4];
paths[301] = [2,1,3,3,2,3,2,1,0,0,0,0,3,10,11,10,6,11,15,9,5];
paths[302] = [2,1,3,3,2,3,2,0,0,0,0,0,3,10,11,10,6,11,16,7,6];
paths[303] = [2,1,3,3,2,3,3,1,0,0,0,0,3,10,11,10,6,11,16,9,4];
paths[304] = [2,1,3,3,2,3,3,0,0,0,0,0,3,10,11,10,6,11,17,7,5];
paths[305] = [4,1,3,3,2,3,2,1,0,0,0,0,3,10,11,10,6,11,18,7,4];
paths[306] = [4,1,3,3,2,3,2,0,0,0,0,0,3,10,11,10,6,11,19,5,5];
paths[307] = [4,1,3,3,2,3,3,1,0,0,0,0,3,10,11,10,6,11,19,7,3];
paths[308] = [4,1,3,3,2,3,3,0,0,0,0,0,3,10,11,10,6,11,20,5,4];
paths[309] = [4,1,3,3,1,3,2,0,0,0,0,0,3,10,11,10,6,11,22,3,6];
paths[310] = [4,1,3,3,1,3,3,0,0,0,0,0,3,10,11,10,6,11,23,3,5];
paths[311] = [0,2,1,0,0,1,2,1,0,0,0,0,4,9,12,2,17,8,6,15,8];
paths[312] = [0,2,1,1,0,1,2,1,0,0,0,0,4,9,12,2,17,8,6,16,6];
paths[313] = [0,2,1,0,0,1,2,0,0,0,0,0,4,9,12,2,17,8,7,13,9];
paths[314] = [0,2,1,1,0,1,2,0,0,0,0,0,4,9,12,2,17,8,7,14,7];
paths[315] = [0,2,1,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,7,16,5];
paths[316] = [0,2,1,0,0,1,3,0,0,0,0,0,4,9,12,2,17,8,8,13,8];
paths[317] = [0,2,1,1,0,1,3,0,0,0,0,0,4,9,12,2,17,8,8,14,6];
paths[318] = [0,2,0,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,8,19,4];
paths[319] = [0,2,1,2,0,1,2,1,0,0,0,0,4,9,12,2,17,8,9,13,7];
paths[320] = [0,2,3,1,0,1,2,1,0,0,0,0,4,9,12,2,17,8,9,14,5];
paths[321] = [0,2,1,2,0,1,2,0,0,0,0,0,4,9,12,2,17,8,10,11,8];
paths[322] = [0,2,3,1,0,1,2,0,0,0,0,0,4,9,12,2,17,8,10,12,6];
paths[323] = [0,2,3,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,10,14,4];
paths[324] = [0,2,1,2,0,1,3,0,0,0,0,0,4,9,12,2,17,8,11,11,7];
paths[325] = [0,2,3,1,0,1,3,0,0,0,0,0,4,9,12,2,17,8,11,12,5];
paths[326] = [1,2,0,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,11,17,3];
paths[327] = [0,2,1,3,0,1,2,1,0,0,0,0,4,9,12,2,17,8,12,11,6];
paths[328] = [1,2,3,1,0,1,2,1,0,0,0,0,4,9,12,2,17,8,12,12,4];
paths[329] = [0,2,1,3,0,1,2,0,0,0,0,0,4,9,12,2,17,8,13,9,7];
paths[330] = [1,2,3,1,0,1,2,0,0,0,0,0,4,9,12,2,17,8,13,10,5];
paths[331] = [1,2,3,1,0,1,3,1,0,0,0,0,4,9,12,2,17,8,13,12,3];
paths[332] = [0,2,1,3,0,1,3,0,0,0,0,0,4,9,12,2,17,8,14,9,6];
paths[333] = [1,2,3,1,0,1,3,0,0,0,0,0,4,9,12,2,17,8,14,10,4];
paths[334] = [0,2,3,3,0,1,2,1,0,0,0,0,4,9,12,2,17,8,15,9,5];
paths[335] = [0,2,3,3,0,1,2,0,0,0,0,0,4,9,12,2,17,8,16,7,6];
paths[336] = [0,2,3,3,0,1,3,1,0,0,0,0,4,9,12,2,17,8,16,9,4];
paths[337] = [0,2,3,3,0,1,3,0,0,0,0,0,4,9,12,2,17,8,17,7,5];
paths[338] = [1,2,3,3,0,1,2,1,0,0,0,0,4,9,12,2,17,8,18,7,4];
paths[339] = [1,2,3,3,0,1,2,0,0,0,0,0,4,9,12,2,17,8,19,5,5];
paths[340] = [1,2,3,3,0,1,3,1,0,0,0,0,4,9,12,2,17,8,19,7,3];
paths[341] = [1,2,3,3,0,1,3,0,0,0,0,0,4,9,12,2,17,8,20,5,4];
paths[342] = [2,2,1,0,0,1,2,1,0,0,0,0,4,9,12,3,13,6,6,15,8];
paths[343] = [2,2,1,1,0,1,2,1,0,0,0,0,4,9,12,3,13,6,6,16,6];
paths[344] = [2,2,1,0,0,1,2,0,0,0,0,0,4,9,12,3,13,6,7,13,9];
paths[345] = [2,2,1,1,0,1,2,0,0,0,0,0,4,9,12,3,13,6,7,14,7];
paths[346] = [2,2,1,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,7,16,5];
paths[347] = [2,2,1,0,0,1,3,0,0,0,0,0,4,9,12,3,13,6,8,13,8];
paths[348] = [2,2,1,1,0,1,3,0,0,0,0,0,4,9,12,3,13,6,8,14,6];
paths[349] = [2,2,0,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,8,19,4];
paths[350] = [2,2,1,2,0,1,2,1,0,0,0,0,4,9,12,3,13,6,9,13,7];
paths[351] = [2,2,3,1,0,1,2,1,0,0,0,0,4,9,12,3,13,6,9,14,5];
paths[352] = [2,2,1,2,0,1,2,0,0,0,0,0,4,9,12,3,13,6,10,11,8];
paths[353] = [2,2,3,1,0,1,2,0,0,0,0,0,4,9,12,3,13,6,10,12,6];
paths[354] = [2,2,3,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,10,14,4];
paths[355] = [2,2,1,2,0,1,3,0,0,0,0,0,4,9,12,3,13,6,11,11,7];
paths[356] = [2,2,3,1,0,1,3,0,0,0,0,0,4,9,12,3,13,6,11,12,5];
paths[357] = [4,2,0,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,11,17,3];
paths[358] = [2,2,1,3,0,1,2,1,0,0,0,0,4,9,12,3,13,6,12,11,6];
paths[359] = [4,2,3,1,0,1,2,1,0,0,0,0,4,9,12,3,13,6,12,12,4];
paths[360] = [2,2,1,3,0,1,2,0,0,0,0,0,4,9,12,3,13,6,13,9,7];
paths[361] = [4,2,3,1,0,1,2,0,0,0,0,0,4,9,12,3,13,6,13,10,5];
paths[362] = [4,2,3,1,0,1,3,1,0,0,0,0,4,9,12,3,13,6,13,12,3];
paths[363] = [2,2,1,3,0,1,3,0,0,0,0,0,4,9,12,3,13,6,14,9,6];
paths[364] = [4,2,3,1,0,1,3,0,0,0,0,0,4,9,12,3,13,6,14,10,4];
paths[365] = [2,2,3,3,0,1,2,1,0,0,0,0,4,9,12,3,13,6,15,9,5];
paths[366] = [2,2,3,3,0,1,2,0,0,0,0,0,4,9,12,3,13,6,16,7,6];
paths[367] = [2,2,3,3,0,1,3,1,0,0,0,0,4,9,12,3,13,6,16,9,4];
paths[368] = [2,2,3,3,0,1,3,0,0,0,0,0,4,9,12,3,13,6,17,7,5];
paths[369] = [4,2,3,3,0,1,2,1,0,0,0,0,4,9,12,3,13,6,18,7,4];
paths[370] = [4,2,3,3,0,1,2,0,0,0,0,0,4,9,12,3,13,6,19,5,5];
paths[371] = [4,2,3,3,0,1,3,1,0,0,0,0,4,9,12,3,13,6,19,7,3];
paths[372] = [4,2,3,3,0,1,3,0,0,0,0,0,4,9,12,3,13,6,20,5,4];
paths[373] = [2,2,1,0,0,2,2,1,0,0,0,0,4,9,12,4,9,8,6,15,8];
paths[374] = [2,2,1,1,0,2,2,1,0,0,0,0,4,9,12,4,9,8,6,16,6];
paths[375] = [2,2,1,0,0,2,2,0,0,0,0,0,4,9,12,4,9,8,7,13,9];
paths[376] = [2,2,1,1,0,2,2,0,0,0,0,0,4,9,12,4,9,8,7,14,7];
paths[377] = [2,2,1,1,0,2,3,1,0,0,0,0,4,9,12,4,9,8,7,16,5];
paths[378] = [2,2,1,0,0,2,3,0,0,0,0,0,4,9,12,4,9,8,8,13,8];
paths[379] = [2,2,1,1,0,2,3,0,0,0,0,0,4,9,12,4,9,8,8,14,6];
paths[380] = [2,2,0,1,0,2,3,1,0,0,0,0,4,9,12,4,9,8,8,19,4];
paths[381] = [2,2,1,2,0,2,2,1,0,0,0,0,4,9,12,4,9,8,9,13,7];
paths[382] = [2,2,3,1,0,2,2,1,0,0,0,0,4,9,12,4,9,8,9,14,5];
paths[383] = [2,2,1,2,0,2,2,0,0,0,0,0,4,9,12,4,9,8,10,11,8];
paths[384] = [2,2,3,1,0,2,2,0,0,0,0,0,4,9,12,4,9,8,10,12,6];
paths[385] = [2,2,3,1,0,2,3,1,0,0,0,0,4,9,12,4,9,8,10,14,4];
paths[386] = [2,2,1,2,0,2,3,0,0,0,0,0,4,9,12,4,9,8,11,11,7];
paths[387] = [2,2,3,1,0,2,3,0,0,0,0,0,4,9,12,4,9,8,11,12,5];
paths[388] = [4,2,0,1,0,2,3,1,0,0,0,0,4,9,12,4,9,8,11,17,3];
paths[389] = [2,2,1,3,0,2,2,1,0,0,0,0,4,9,12,4,9,8,12,11,6];
paths[390] = [4,2,3,1,0,2,2,1,0,0,0,0,4,9,12,4,9,8,12,12,4];
paths[391] = [2,2,1,3,0,2,2,0,0,0,0,0,4,9,12,4,9,8,13,9,7];
paths[392] = [4,2,3,1,0,2,2,0,0,0,0,0,4,9,12,4,9,8,13,10,5];
paths[393] = [4,2,3,1,0,2,3,1,0,0,0,0,4,9,12,4,9,8,13,12,3];
paths[394] = [2,2,1,3,0,2,3,0,0,0,0,0,4,9,12,4,9,8,14,9,6];
paths[395] = [4,2,3,1,0,2,3,0,0,0,0,0,4,9,12,4,9,8,14,10,4];
paths[396] = [2,2,3,3,0,2,2,1,0,0,0,0,4,9,12,4,9,8,15,9,5];
paths[397] = [2,2,3,3,0,2,2,0,0,0,0,0,4,9,12,4,9,8,16,7,6];
paths[398] = [2,2,3,3,0,2,3,1,0,0,0,0,4,9,12,4,9,8,16,9,4];
paths[399] = [2,2,3,3,0,2,3,0,0,0,0,0,4,9,12,4,9,8,17,7,5];
paths[400] = [4,2,3,3,0,2,2,1,0,0,0,0,4,9,12,4,9,8,18,7,4];
paths[401] = [4,2,3,3,0,2,2,0,0,0,0,0,4,9,12,4,9,8,19,5,5];
paths[402] = [4,2,3,3,0,2,3,1,0,0,0,0,4,9,12,4,9,8,19,7,3];
paths[403] = [4,2,3,3,0,2,3,0,0,0,0,0,4,9,12,4,9,8,20,5,4];
paths[404] = [2,2,1,0,0,3,2,1,0,0,0,0,4,9,12,5,7,10,6,15,8];
paths[405] = [2,2,1,1,0,3,2,1,0,0,0,0,4,9,12,5,7,10,6,16,6];
paths[406] = [2,2,1,0,0,3,2,0,0,0,0,0,4,9,12,5,7,10,7,13,9];
paths[407] = [2,2,1,1,0,3,2,0,0,0,0,0,4,9,12,5,7,10,7,14,7];
paths[408] = [2,2,1,1,0,3,3,1,0,0,0,0,4,9,12,5,7,10,7,16,5];
paths[409] = [2,2,1,0,0,3,3,0,0,0,0,0,4,9,12,5,7,10,8,13,8];
paths[410] = [2,2,1,1,0,3,3,0,0,0,0,0,4,9,12,5,7,10,8,14,6];
paths[411] = [2,2,0,1,0,3,3,1,0,0,0,0,4,9,12,5,7,10,8,19,4];
paths[412] = [2,2,1,2,0,3,2,1,0,0,0,0,4,9,12,5,7,10,9,13,7];
paths[413] = [2,2,3,1,0,3,2,1,0,0,0,0,4,9,12,5,7,10,9,14,5];
paths[414] = [2,2,1,2,0,3,2,0,0,0,0,0,4,9,12,5,7,10,10,11,8];
paths[415] = [2,2,3,1,0,3,2,0,0,0,0,0,4,9,12,5,7,10,10,12,6];
paths[416] = [2,2,3,1,0,3,3,1,0,0,0,0,4,9,12,5,7,10,10,14,4];
paths[417] = [2,2,1,2,0,3,3,0,0,0,0,0,4,9,12,5,7,10,11,11,7];
paths[418] = [2,2,3,1,0,3,3,0,0,0,0,0,4,9,12,5,7,10,11,12,5];
paths[419] = [4,2,0,1,0,3,3,1,0,0,0,0,4,9,12,5,7,10,11,17,3];
paths[420] = [2,2,1,3,0,3,2,1,0,0,0,0,4,9,12,5,7,10,12,11,6];
paths[421] = [4,2,3,1,0,3,2,1,0,0,0,0,4,9,12,5,7,10,12,12,4];
paths[422] = [2,2,1,3,0,3,2,0,0,0,0,0,4,9,12,5,7,10,13,9,7];
paths[423] = [4,2,3,1,0,3,2,0,0,0,0,0,4,9,12,5,7,10,13,10,5];
paths[424] = [4,2,3,1,0,3,3,1,0,0,0,0,4,9,12,5,7,10,13,12,3];
paths[425] = [2,2,1,3,0,3,3,0,0,0,0,0,4,9,12,5,7,10,14,9,6];
paths[426] = [4,2,3,1,0,3,3,0,0,0,0,0,4,9,12,5,7,10,14,10,4];
paths[427] = [2,2,3,3,0,3,2,1,0,0,0,0,4,9,12,5,7,10,15,9,5];
paths[428] = [2,2,3,3,0,3,2,0,0,0,0,0,4,9,12,5,7,10,16,7,6];
paths[429] = [2,2,3,3,0,3,3,1,0,0,0,0,4,9,12,5,7,10,16,9,4];
paths[430] = [2,2,3,3,0,3,3,0,0,0,0,0,4,9,12,5,7,10,17,7,5];
paths[431] = [4,2,3,3,0,3,2,1,0,0,0,0,4,9,12,5,7,10,18,7,4];
paths[432] = [4,2,3,3,0,3,2,0,0,0,0,0,4,9,12,5,7,10,19,5,5];
paths[433] = [4,2,3,3,0,3,3,1,0,0,0,0,4,9,12,5,7,10,19,7,3];
paths[434] = [4,2,3,3,0,3,3,0,0,0,0,0,4,9,12,5,7,10,20,5,4];
paths[435] = [2,2,1,0,0,0,2,1,0,0,0,0,4,9,12,5,8,9,6,15,8];
paths[436] = [2,2,1,1,0,0,2,1,0,0,0,0,4,9,12,5,8,9,6,16,6];
paths[437] = [2,2,1,0,0,0,2,0,0,0,0,0,4,9,12,5,8,9,7,13,9];
paths[438] = [2,2,1,1,0,0,2,0,0,0,0,0,4,9,12,5,8,9,7,14,7];
paths[439] = [2,2,1,1,0,0,3,1,0,0,0,0,4,9,12,5,8,9,7,16,5];
paths[440] = [2,2,1,0,0,0,3,0,0,0,0,0,4,9,12,5,8,9,8,13,8];
paths[441] = [2,2,1,1,0,0,3,0,0,0,0,0,4,9,12,5,8,9,8,14,6];
paths[442] = [2,2,0,1,0,0,3,1,0,0,0,0,4,9,12,5,8,9,8,19,4];
paths[443] = [2,2,1,2,0,0,2,1,0,0,0,0,4,9,12,5,8,9,9,13,7];
paths[444] = [2,2,3,1,0,0,2,1,0,0,0,0,4,9,12,5,8,9,9,14,5];
paths[445] = [2,2,1,2,0,0,2,0,0,0,0,0,4,9,12,5,8,9,10,11,8];
paths[446] = [2,2,3,1,0,0,2,0,0,0,0,0,4,9,12,5,8,9,10,12,6];
paths[447] = [2,2,3,1,0,0,3,1,0,0,0,0,4,9,12,5,8,9,10,14,4];
paths[448] = [2,2,1,2,0,0,3,0,0,0,0,0,4,9,12,5,8,9,11,11,7];
paths[449] = [2,2,3,1,0,0,3,0,0,0,0,0,4,9,12,5,8,9,11,12,5];
paths[450] = [4,2,0,1,0,0,3,1,0,0,0,0,4,9,12,5,8,9,11,17,3];
paths[451] = [2,2,1,3,0,0,2,1,0,0,0,0,4,9,12,5,8,9,12,11,6];
paths[452] = [4,2,3,1,0,0,2,1,0,0,0,0,4,9,12,5,8,9,12,12,4];
paths[453] = [2,2,1,3,0,0,2,0,0,0,0,0,4,9,12,5,8,9,13,9,7];
paths[454] = [4,2,3,1,0,0,2,0,0,0,0,0,4,9,12,5,8,9,13,10,5];
paths[455] = [4,2,3,1,0,0,3,1,0,0,0,0,4,9,12,5,8,9,13,12,3];
paths[456] = [2,2,1,3,0,0,3,0,0,0,0,0,4,9,12,5,8,9,14,9,6];
paths[457] = [4,2,3,1,0,0,3,0,0,0,0,0,4,9,12,5,8,9,14,10,4];
paths[458] = [2,2,3,3,0,0,2,1,0,0,0,0,4,9,12,5,8,9,15,9,5];
paths[459] = [2,2,3,3,0,0,2,0,0,0,0,0,4,9,12,5,8,9,16,7,6];
paths[460] = [2,2,3,3,0,0,3,1,0,0,0,0,4,9,12,5,8,9,16,9,4];
paths[461] = [2,2,3,3,0,0,3,0,0,0,0,0,4,9,12,5,8,9,17,7,5];
paths[462] = [4,2,3,3,0,0,2,1,0,0,0,0,4,9,12,5,8,9,18,7,4];
paths[463] = [4,2,3,3,0,0,2,0,0,0,0,0,4,9,12,5,8,9,19,5,5];
paths[464] = [4,2,3,3,0,0,3,1,0,0,0,0,4,9,12,5,8,9,19,7,3];
paths[465] = [4,2,3,3,0,0,3,0,0,0,0,0,4,9,12,5,8,9,20,5,4];
paths[466] = [2,1,1,0,0,1,2,1,0,0,0,0,4,9,12,8,12,7,6,15,8];
paths[467] = [2,1,1,1,0,1,2,1,0,0,0,0,4,9,12,8,12,7,6,16,6];
paths[468] = [2,1,1,0,0,1,2,0,0,0,0,0,4,9,12,8,12,7,7,13,9];
paths[469] = [2,1,1,1,0,1,2,0,0,0,0,0,4,9,12,8,12,7,7,14,7];
paths[470] = [2,1,1,1,0,1,3,1,0,0,0,0,4,9,12,8,12,7,7,16,5];
paths[471] = [2,1,1,0,0,1,3,0,0,0,0,0,4,9,12,8,12,7,8,13,8];
paths[472] = [2,1,1,1,0,1,3,0,0,0,0,0,4,9,12,8,12,7,8,14,6];
paths[473] = [2,1,0,1,0,1,3,1,0,0,0,0,4,9,12,8,12,7,8,19,4];
paths[474] = [2,1,1,2,0,1,2,1,0,0,0,0,4,9,12,8,12,7,9,13,7];
paths[475] = [2,1,3,1,0,1,2,1,0,0,0,0,4,9,12,8,12,7,9,14,5];
paths[476] = [2,1,1,2,0,1,2,0,0,0,0,0,4,9,12,8,12,7,10,11,8];
paths[477] = [2,1,3,1,0,1,2,0,0,0,0,0,4,9,12,8,12,7,10,12,6];
paths[478] = [2,1,3,1,0,1,3,1,0,0,0,0,4,9,12,8,12,7,10,14,4];
paths[479] = [2,1,1,2,0,1,3,0,0,0,0,0,4,9,12,8,12,7,11,11,7];
paths[480] = [2,1,3,1,0,1,3,0,0,0,0,0,4,9,12,8,12,7,11,12,5];
paths[481] = [4,1,0,1,0,1,3,1,0,0,0,0,4,9,12,8,12,7,11,17,3];
paths[482] = [2,1,1,3,0,1,2,1,0,0,0,0,4,9,12,8,12,7,12,11,6];
paths[483] = [4,1,3,1,0,1,2,1,0,0,0,0,4,9,12,8,12,7,12,12,4];
paths[484] = [2,1,1,3,0,1,2,0,0,0,0,0,4,9,12,8,12,7,13,9,7];
paths[485] = [4,1,3,1,0,1,2,0,0,0,0,0,4,9,12,8,12,7,13,10,5];
paths[486] = [4,1,3,1,0,1,3,1,0,0,0,0,4,9,12,8,12,7,13,12,3];
paths[487] = [2,1,1,3,0,1,3,0,0,0,0,0,4,9,12,8,12,7,14,9,6];
paths[488] = [4,1,3,1,0,1,3,0,0,0,0,0,4,9,12,8,12,7,14,10,4];
paths[489] = [2,1,3,3,0,1,2,1,0,0,0,0,4,9,12,8,12,7,15,9,5];
paths[490] = [2,1,3,3,0,1,2,0,0,0,0,0,4,9,12,8,12,7,16,7,6];
paths[491] = [2,1,3,3,0,1,3,1,0,0,0,0,4,9,12,8,12,7,16,9,4];
paths[492] = [2,1,3,3,0,1,3,0,0,0,0,0,4,9,12,8,12,7,17,7,5];
paths[493] = [4,1,3,3,0,1,2,1,0,0,0,0,4,9,12,8,12,7,18,7,4];
paths[494] = [4,1,3,3,0,1,2,0,0,0,0,0,4,9,12,8,12,7,19,5,5];
paths[495] = [4,1,3,3,0,1,3,1,0,0,0,0,4,9,12,8,12,7,19,7,3];
paths[496] = [4,1,3,3,0,1,3,0,0,0,0,0,4,9,12,8,12,7,20,5,4];
paths[497] = [2,2,4,0,0,1,2,1,0,0,0,0,4,9,12,8,14,5,6,15,8];
paths[498] = [2,2,4,1,0,1,2,1,0,0,0,0,4,9,12,8,14,5,6,16,6];
paths[499] = [2,2,4,0,0,1,2,0,0,0,0,0,4,9,12,8,14,5,7,13,9];
paths[500] = [2,2,4,1,0,1,2,0,0,0,0,0,4,9,12,8,14,5,7,14,7];
paths[501] = [2,2,4,1,0,1,3,1,0,0,0,0,4,9,12,8,14,5,7,16,5];
paths[502] = [2,2,4,0,0,1,3,0,0,0,0,0,4,9,12,8,14,5,8,13,8];
paths[503] = [2,2,4,1,0,1,3,0,0,0,0,0,4,9,12,8,14,5,8,14,6];
paths[504] = [2,2,4,2,0,1,2,1,0,0,0,0,4,9,12,8,14,5,9,13,7];
paths[505] = [2,2,5,1,0,1,2,1,0,0,0,0,4,9,12,8,14,5,9,14,5];
paths[506] = [2,2,4,2,0,1,2,0,0,0,0,0,4,9,12,8,14,5,10,11,8];
paths[507] = [2,2,5,1,0,1,2,0,0,0,0,0,4,9,12,8,14,5,10,12,6];
paths[508] = [2,2,5,1,0,1,3,1,0,0,0,0,4,9,12,8,14,5,10,14,4];
paths[509] = [2,2,4,2,0,1,3,0,0,0,0,0,4,9,12,8,14,5,11,11,7];
paths[510] = [2,2,5,1,0,1,3,0,0,0,0,0,4,9,12,8,14,5,11,12,5];
paths[511] = [2,2,4,3,0,1,2,1,0,0,0,0,4,9,12,8,14,5,12,11,6];
paths[512] = [4,2,5,1,0,1,2,1,0,0,0,0,4,9,12,8,14,5,12,12,4];
paths[513] = [2,2,4,3,0,1,2,0,0,0,0,0,4,9,12,8,14,5,13,9,7];
paths[514] = [4,2,5,1,0,1,2,0,0,0,0,0,4,9,12,8,14,5,13,10,5];
paths[515] = [4,2,5,1,0,1,3,1,0,0,0,0,4,9,12,8,14,5,13,12,3];
paths[516] = [2,2,4,3,0,1,3,0,0,0,0,0,4,9,12,8,14,5,14,9,6];
paths[517] = [4,2,5,1,0,1,3,0,0,0,0,0,4,9,12,8,14,5,14,10,4];
paths[518] = [2,2,5,3,0,1,2,1,0,0,0,0,4,9,12,8,14,5,15,9,5];
paths[519] = [2,2,5,3,0,1,2,0,0,0,0,0,4,9,12,8,14,5,16,7,6];
paths[520] = [2,2,5,3,0,1,3,1,0,0,0,0,4,9,12,8,14,5,16,9,4];
paths[521] = [2,2,5,3,0,1,3,0,0,0,0,0,4,9,12,8,14,5,17,7,5];
paths[522] = [4,2,5,3,0,1,2,1,0,0,0,0,4,9,12,8,14,5,18,7,4];
paths[523] = [4,2,5,3,0,1,2,0,0,0,0,0,4,9,12,8,14,5,19,5,5];
paths[524] = [4,2,5,3,0,1,3,1,0,0,0,0,4,9,12,8,14,5,19,7,3];
paths[525] = [4,2,5,3,0,1,3,0,0,0,0,0,4,9,12,8,14,5,20,5,4];
paths[526] = [2,2,4,0,0,2,2,1,0,0,0,0,4,9,12,9,10,7,6,15,8];
paths[527] = [2,2,4,1,0,2,2,1,0,0,0,0,4,9,12,9,10,7,6,16,6];
paths[528] = [2,2,4,0,0,2,2,0,0,0,0,0,4,9,12,9,10,7,7,13,9];
paths[529] = [2,2,4,1,0,2,2,0,0,0,0,0,4,9,12,9,10,7,7,14,7];
paths[530] = [2,2,4,1,0,2,3,1,0,0,0,0,4,9,12,9,10,7,7,16,5];
paths[531] = [2,2,4,0,0,2,3,0,0,0,0,0,4,9,12,9,10,7,8,13,8];
paths[532] = [2,2,4,1,0,2,3,0,0,0,0,0,4,9,12,9,10,7,8,14,6];
paths[533] = [2,2,4,2,0,2,2,1,0,0,0,0,4,9,12,9,10,7,9,13,7];
paths[534] = [2,2,5,1,0,2,2,1,0,0,0,0,4,9,12,9,10,7,9,14,5];
paths[535] = [2,2,4,2,0,2,2,0,0,0,0,0,4,9,12,9,10,7,10,11,8];
paths[536] = [2,2,5,1,0,2,2,0,0,0,0,0,4,9,12,9,10,7,10,12,6];
paths[537] = [2,2,5,1,0,2,3,1,0,0,0,0,4,9,12,9,10,7,10,14,4];
paths[538] = [2,2,4,2,0,2,3,0,0,0,0,0,4,9,12,9,10,7,11,11,7];
paths[539] = [2,2,5,1,0,2,3,0,0,0,0,0,4,9,12,9,10,7,11,12,5];
paths[540] = [2,2,4,3,0,2,2,1,0,0,0,0,4,9,12,9,10,7,12,11,6];
paths[541] = [4,2,5,1,0,2,2,1,0,0,0,0,4,9,12,9,10,7,12,12,4];
paths[542] = [2,2,4,3,0,2,2,0,0,0,0,0,4,9,12,9,10,7,13,9,7];
paths[543] = [4,2,5,1,0,2,2,0,0,0,0,0,4,9,12,9,10,7,13,10,5];
paths[544] = [4,2,5,1,0,2,3,1,0,0,0,0,4,9,12,9,10,7,13,12,3];
paths[545] = [2,2,4,3,0,2,3,0,0,0,0,0,4,9,12,9,10,7,14,9,6];
paths[546] = [4,2,5,1,0,2,3,0,0,0,0,0,4,9,12,9,10,7,14,10,4];
paths[547] = [2,2,5,3,0,2,2,1,0,0,0,0,4,9,12,9,10,7,15,9,5];
paths[548] = [2,2,5,3,0,2,2,0,0,0,0,0,4,9,12,9,10,7,16,7,6];
paths[549] = [2,2,5,3,0,2,3,1,0,0,0,0,4,9,12,9,10,7,16,9,4];
paths[550] = [2,2,5,3,0,2,3,0,0,0,0,0,4,9,12,9,10,7,17,7,5];
paths[551] = [4,2,5,3,0,2,2,1,0,0,0,0,4,9,12,9,10,7,18,7,4];
paths[552] = [4,2,5,3,0,2,2,0,0,0,0,0,4,9,12,9,10,7,19,5,5];
paths[553] = [4,2,5,3,0,2,3,1,0,0,0,0,4,9,12,9,10,7,19,7,3];
paths[554] = [4,2,5,3,0,2,3,0,0,0,0,0,4,9,12,9,10,7,20,5,4];
paths[555] = [2,1,1,0,0,3,2,1,0,0,0,0,4,9,12,10,6,11,6,15,8];
paths[556] = [2,1,1,1,0,3,2,1,0,0,0,0,4,9,12,10,6,11,6,16,6];
paths[557] = [2,1,1,0,0,3,2,0,0,0,0,0,4,9,12,10,6,11,7,13,9];
paths[558] = [2,1,1,1,0,3,2,0,0,0,0,0,4,9,12,10,6,11,7,14,7];
paths[559] = [2,1,1,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,7,16,5];
paths[560] = [2,1,1,0,0,3,3,0,0,0,0,0,4,9,12,10,6,11,8,13,8];
paths[561] = [2,1,1,1,0,3,3,0,0,0,0,0,4,9,12,10,6,11,8,14,6];
paths[562] = [2,1,0,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,8,19,4];
paths[563] = [2,1,1,2,0,3,2,1,0,0,0,0,4,9,12,10,6,11,9,13,7];
paths[564] = [2,1,3,1,0,3,2,1,0,0,0,0,4,9,12,10,6,11,9,14,5];
paths[565] = [2,1,1,2,0,3,2,0,0,0,0,0,4,9,12,10,6,11,10,11,8];
paths[566] = [2,1,3,1,0,3,2,0,0,0,0,0,4,9,12,10,6,11,10,12,6];
paths[567] = [2,1,3,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,10,14,4];
paths[568] = [2,1,1,2,0,3,3,0,0,0,0,0,4,9,12,10,6,11,11,11,7];
paths[569] = [2,1,3,1,0,3,3,0,0,0,0,0,4,9,12,10,6,11,11,12,5];
paths[570] = [4,1,0,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,11,17,3];
paths[571] = [2,1,1,3,0,3,2,1,0,0,0,0,4,9,12,10,6,11,12,11,6];
paths[572] = [4,1,3,1,0,3,2,1,0,0,0,0,4,9,12,10,6,11,12,12,4];
paths[573] = [2,1,1,3,0,3,2,0,0,0,0,0,4,9,12,10,6,11,13,9,7];
paths[574] = [4,1,3,1,0,3,2,0,0,0,0,0,4,9,12,10,6,11,13,10,5];
paths[575] = [4,1,3,1,0,3,3,1,0,0,0,0,4,9,12,10,6,11,13,12,3];
paths[576] = [2,1,1,3,0,3,3,0,0,0,0,0,4,9,12,10,6,11,14,9,6];
paths[577] = [4,1,3,1,0,3,3,0,0,0,0,0,4,9,12,10,6,11,14,10,4];
paths[578] = [2,1,3,3,0,3,2,1,0,0,0,0,4,9,12,10,6,11,15,9,5];
paths[579] = [2,1,3,3,0,3,2,0,0,0,0,0,4,9,12,10,6,11,16,7,6];
paths[580] = [2,1,3,3,0,3,3,1,0,0,0,0,4,9,12,10,6,11,16,9,4];
paths[581] = [2,1,3,3,0,3,3,0,0,0,0,0,4,9,12,10,6,11,17,7,5];
paths[582] = [4,1,3,3,0,3,2,1,0,0,0,0,4,9,12,10,6,11,18,7,4];
paths[583] = [4,1,3,3,0,3,2,0,0,0,0,0,4,9,12,10,6,11,19,5,5];
paths[584] = [4,1,3,3,0,3,3,1,0,0,0,0,4,9,12,10,6,11,19,7,3];
paths[585] = [4,1,3,3,0,3,3,0,0,0,0,0,4,9,12,10,6,11,20,5,4];
paths[586] = [0,2,1,0,3,1,2,1,1,0,0,0,5,7,13,2,17,8,5,17,9];
paths[587] = [0,2,1,1,3,1,2,1,1,0,0,0,5,7,13,2,17,8,5,18,7];
paths[588] = [0,2,1,0,2,1,2,1,1,0,0,0,5,7,13,2,17,8,6,15,8];
paths[589] = [0,2,1,1,2,1,2,1,1,0,0,0,5,7,13,2,17,8,6,16,6];
paths[590] = [0,2,1,0,2,1,2,0,1,0,0,0,5,7,13,2,17,8,7,13,9];
paths[591] = [0,2,1,1,2,1,2,0,1,0,0,0,5,7,13,2,17,8,7,14,7];
paths[592] = [0,2,1,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,7,16,5];
paths[593] = [0,2,1,0,2,1,3,0,1,0,0,0,5,7,13,2,17,8,8,13,8];
paths[594] = [0,2,1,1,2,1,3,0,1,0,0,0,5,7,13,2,17,8,8,14,6];
paths[595] = [0,2,0,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,8,19,4];
paths[596] = [0,2,1,2,2,1,2,1,1,0,0,0,5,7,13,2,17,8,9,13,7];
paths[597] = [0,2,3,1,2,1,2,1,1,0,0,0,5,7,13,2,17,8,9,14,5];
paths[598] = [0,2,1,2,2,1,2,0,1,0,0,0,5,7,13,2,17,8,10,11,8];
paths[599] = [0,2,3,1,2,1,2,0,1,0,0,0,5,7,13,2,17,8,10,12,6];
paths[600] = [0,2,3,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,10,14,4];
paths[601] = [0,2,1,2,2,1,3,0,1,0,0,0,5,7,13,2,17,8,11,11,7];
paths[602] = [0,2,3,1,2,1,3,0,1,0,0,0,5,7,13,2,17,8,11,12,5];
paths[603] = [1,2,0,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,11,17,3];
paths[604] = [0,2,1,3,2,1,2,1,1,0,0,0,5,7,13,2,17,8,12,11,6];
paths[605] = [1,2,3,1,2,1,2,1,1,0,0,0,5,7,13,2,17,8,12,12,4];
paths[606] = [0,2,1,3,2,1,2,0,1,0,0,0,5,7,13,2,17,8,13,9,7];
paths[607] = [1,2,3,1,2,1,2,0,1,0,0,0,5,7,13,2,17,8,13,10,5];
paths[608] = [1,2,3,1,2,1,3,1,1,0,0,0,5,7,13,2,17,8,13,12,3];
paths[609] = [0,2,1,3,2,1,3,0,1,0,0,0,5,7,13,2,17,8,14,9,6];
paths[610] = [1,2,3,1,2,1,3,0,1,0,0,0,5,7,13,2,17,8,14,10,4];
paths[611] = [0,2,3,3,2,1,2,1,1,0,0,0,5,7,13,2,17,8,15,9,5];
paths[612] = [0,2,3,3,2,1,2,0,1,0,0,0,5,7,13,2,17,8,16,7,6];
paths[613] = [0,2,3,3,2,1,3,1,1,0,0,0,5,7,13,2,17,8,16,9,4];
paths[614] = [0,2,3,3,2,1,3,0,1,0,0,0,5,7,13,2,17,8,17,7,5];
paths[615] = [1,2,3,3,2,1,2,1,1,0,0,0,5,7,13,2,17,8,18,7,4];
paths[616] = [1,2,3,3,2,1,2,0,1,0,0,0,5,7,13,2,17,8,19,5,5];
paths[617] = [1,2,3,3,2,1,3,1,1,0,0,0,5,7,13,2,17,8,19,7,3];
paths[618] = [1,2,3,3,2,1,3,0,1,0,0,0,5,7,13,2,17,8,20,5,4];
paths[619] = [1,2,3,3,1,1,2,0,1,0,0,0,5,7,13,2,17,8,22,3,6];
paths[620] = [1,2,3,3,1,1,3,0,1,0,0,0,5,7,13,2,17,8,23,3,5];
paths[621] = [2,2,1,0,3,1,2,1,1,0,0,0,5,7,13,3,13,6,5,17,9];
paths[622] = [2,2,1,1,3,1,2,1,1,0,0,0,5,7,13,3,13,6,5,18,7];
paths[623] = [2,2,1,0,2,1,2,1,1,0,0,0,5,7,13,3,13,6,6,15,8];
paths[624] = [2,2,1,1,2,1,2,1,1,0,0,0,5,7,13,3,13,6,6,16,6];
paths[625] = [2,2,1,0,2,1,2,0,1,0,0,0,5,7,13,3,13,6,7,13,9];
paths[626] = [2,2,1,1,2,1,2,0,1,0,0,0,5,7,13,3,13,6,7,14,7];
paths[627] = [2,2,1,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,7,16,5];
paths[628] = [2,2,1,0,2,1,3,0,1,0,0,0,5,7,13,3,13,6,8,13,8];
paths[629] = [2,2,1,1,2,1,3,0,1,0,0,0,5,7,13,3,13,6,8,14,6];
paths[630] = [2,2,0,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,8,19,4];
paths[631] = [2,2,1,2,2,1,2,1,1,0,0,0,5,7,13,3,13,6,9,13,7];
paths[632] = [2,2,3,1,2,1,2,1,1,0,0,0,5,7,13,3,13,6,9,14,5];
paths[633] = [2,2,1,2,2,1,2,0,1,0,0,0,5,7,13,3,13,6,10,11,8];
paths[634] = [2,2,3,1,2,1,2,0,1,0,0,0,5,7,13,3,13,6,10,12,6];
paths[635] = [2,2,3,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,10,14,4];
paths[636] = [2,2,1,2,2,1,3,0,1,0,0,0,5,7,13,3,13,6,11,11,7];
paths[637] = [2,2,3,1,2,1,3,0,1,0,0,0,5,7,13,3,13,6,11,12,5];
paths[638] = [4,2,0,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,11,17,3];
paths[639] = [2,2,1,3,2,1,2,1,1,0,0,0,5,7,13,3,13,6,12,11,6];
paths[640] = [4,2,3,1,2,1,2,1,1,0,0,0,5,7,13,3,13,6,12,12,4];
paths[641] = [2,2,1,3,2,1,2,0,1,0,0,0,5,7,13,3,13,6,13,9,7];
paths[642] = [4,2,3,1,2,1,2,0,1,0,0,0,5,7,13,3,13,6,13,10,5];
paths[643] = [4,2,3,1,2,1,3,1,1,0,0,0,5,7,13,3,13,6,13,12,3];
paths[644] = [2,2,1,3,2,1,3,0,1,0,0,0,5,7,13,3,13,6,14,9,6];
paths[645] = [4,2,3,1,2,1,3,0,1,0,0,0,5,7,13,3,13,6,14,10,4];
paths[646] = [2,2,3,3,2,1,2,1,1,0,0,0,5,7,13,3,13,6,15,9,5];
paths[647] = [2,2,3,3,2,1,2,0,1,0,0,0,5,7,13,3,13,6,16,7,6];
paths[648] = [2,2,3,3,2,1,3,1,1,0,0,0,5,7,13,3,13,6,16,9,4];
paths[649] = [2,2,3,3,2,1,3,0,1,0,0,0,5,7,13,3,13,6,17,7,5];
paths[650] = [4,2,3,3,2,1,2,1,1,0,0,0,5,7,13,3,13,6,18,7,4];
paths[651] = [4,2,3,3,2,1,2,0,1,0,0,0,5,7,13,3,13,6,19,5,5];
paths[652] = [4,2,3,3,2,1,3,1,1,0,0,0,5,7,13,3,13,6,19,7,3];
paths[653] = [4,2,3,3,2,1,3,0,1,0,0,0,5,7,13,3,13,6,20,5,4];
paths[654] = [4,2,3,3,1,1,2,0,1,0,0,0,5,7,13,3,13,6,22,3,6];
paths[655] = [4,2,3,3,1,1,3,0,1,0,0,0,5,7,13,3,13,6,23,3,5];
paths[656] = [2,2,1,0,3,2,2,1,1,0,0,0,5,7,13,4,9,8,5,17,9];
paths[657] = [2,2,1,1,3,2,2,1,1,0,0,0,5,7,13,4,9,8,5,18,7];
paths[658] = [2,2,1,0,2,2,2,1,1,0,0,0,5,7,13,4,9,8,6,15,8];
paths[659] = [2,2,1,1,2,2,2,1,1,0,0,0,5,7,13,4,9,8,6,16,6];
paths[660] = [2,2,1,0,2,2,2,0,1,0,0,0,5,7,13,4,9,8,7,13,9];
paths[661] = [2,2,1,1,2,2,2,0,1,0,0,0,5,7,13,4,9,8,7,14,7];
paths[662] = [2,2,1,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,7,16,5];
paths[663] = [2,2,1,0,2,2,3,0,1,0,0,0,5,7,13,4,9,8,8,13,8];
paths[664] = [2,2,1,1,2,2,3,0,1,0,0,0,5,7,13,4,9,8,8,14,6];
paths[665] = [2,2,0,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,8,19,4];
paths[666] = [2,2,1,2,2,2,2,1,1,0,0,0,5,7,13,4,9,8,9,13,7];
paths[667] = [2,2,3,1,2,2,2,1,1,0,0,0,5,7,13,4,9,8,9,14,5];
paths[668] = [2,2,1,2,2,2,2,0,1,0,0,0,5,7,13,4,9,8,10,11,8];
paths[669] = [2,2,3,1,2,2,2,0,1,0,0,0,5,7,13,4,9,8,10,12,6];
paths[670] = [2,2,3,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,10,14,4];
paths[671] = [2,2,1,2,2,2,3,0,1,0,0,0,5,7,13,4,9,8,11,11,7];
paths[672] = [2,2,3,1,2,2,3,0,1,0,0,0,5,7,13,4,9,8,11,12,5];
paths[673] = [4,2,0,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,11,17,3];
paths[674] = [2,2,1,3,2,2,2,1,1,0,0,0,5,7,13,4,9,8,12,11,6];
paths[675] = [4,2,3,1,2,2,2,1,1,0,0,0,5,7,13,4,9,8,12,12,4];
paths[676] = [2,2,1,3,2,2,2,0,1,0,0,0,5,7,13,4,9,8,13,9,7];
paths[677] = [4,2,3,1,2,2,2,0,1,0,0,0,5,7,13,4,9,8,13,10,5];
paths[678] = [4,2,3,1,2,2,3,1,1,0,0,0,5,7,13,4,9,8,13,12,3];
paths[679] = [2,2,1,3,2,2,3,0,1,0,0,0,5,7,13,4,9,8,14,9,6];
paths[680] = [4,2,3,1,2,2,3,0,1,0,0,0,5,7,13,4,9,8,14,10,4];
paths[681] = [2,2,3,3,2,2,2,1,1,0,0,0,5,7,13,4,9,8,15,9,5];
paths[682] = [2,2,3,3,2,2,2,0,1,0,0,0,5,7,13,4,9,8,16,7,6];
paths[683] = [2,2,3,3,2,2,3,1,1,0,0,0,5,7,13,4,9,8,16,9,4];
paths[684] = [2,2,3,3,2,2,3,0,1,0,0,0,5,7,13,4,9,8,17,7,5];
paths[685] = [4,2,3,3,2,2,2,1,1,0,0,0,5,7,13,4,9,8,18,7,4];
paths[686] = [4,2,3,3,2,2,2,0,1,0,0,0,5,7,13,4,9,8,19,5,5];
paths[687] = [4,2,3,3,2,2,3,1,1,0,0,0,5,7,13,4,9,8,19,7,3];
paths[688] = [4,2,3,3,2,2,3,0,1,0,0,0,5,7,13,4,9,8,20,5,4];
paths[689] = [4,2,3,3,1,2,2,0,1,0,0,0,5,7,13,4,9,8,22,3,6];
paths[690] = [4,2,3,3,1,2,3,0,1,0,0,0,5,7,13,4,9,8,23,3,5];
paths[691] = [2,2,1,0,3,3,2,1,1,0,0,0,5,7,13,5,7,10,5,17,9];
paths[692] = [2,2,1,1,3,3,2,1,1,0,0,0,5,7,13,5,7,10,5,18,7];
paths[693] = [2,2,1,0,2,3,2,1,1,0,0,0,5,7,13,5,7,10,6,15,8];
paths[694] = [2,2,1,1,2,3,2,1,1,0,0,0,5,7,13,5,7,10,6,16,6];
paths[695] = [2,2,1,0,2,3,2,0,1,0,0,0,5,7,13,5,7,10,7,13,9];
paths[696] = [2,2,1,1,2,3,2,0,1,0,0,0,5,7,13,5,7,10,7,14,7];
paths[697] = [2,2,1,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,7,16,5];
paths[698] = [2,2,1,0,2,3,3,0,1,0,0,0,5,7,13,5,7,10,8,13,8];
paths[699] = [2,2,1,1,2,3,3,0,1,0,0,0,5,7,13,5,7,10,8,14,6];
paths[700] = [2,2,0,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,8,19,4];
paths[701] = [2,2,1,2,2,3,2,1,1,0,0,0,5,7,13,5,7,10,9,13,7];
paths[702] = [2,2,3,1,2,3,2,1,1,0,0,0,5,7,13,5,7,10,9,14,5];
paths[703] = [2,2,1,2,2,3,2,0,1,0,0,0,5,7,13,5,7,10,10,11,8];
paths[704] = [2,2,3,1,2,3,2,0,1,0,0,0,5,7,13,5,7,10,10,12,6];
paths[705] = [2,2,3,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,10,14,4];
paths[706] = [2,2,1,2,2,3,3,0,1,0,0,0,5,7,13,5,7,10,11,11,7];
paths[707] = [2,2,3,1,2,3,3,0,1,0,0,0,5,7,13,5,7,10,11,12,5];
paths[708] = [4,2,0,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,11,17,3];
paths[709] = [2,2,1,3,2,3,2,1,1,0,0,0,5,7,13,5,7,10,12,11,6];
paths[710] = [4,2,3,1,2,3,2,1,1,0,0,0,5,7,13,5,7,10,12,12,4];
paths[711] = [2,2,1,3,2,3,2,0,1,0,0,0,5,7,13,5,7,10,13,9,7];
paths[712] = [4,2,3,1,2,3,2,0,1,0,0,0,5,7,13,5,7,10,13,10,5];
paths[713] = [4,2,3,1,2,3,3,1,1,0,0,0,5,7,13,5,7,10,13,12,3];
paths[714] = [2,2,1,3,2,3,3,0,1,0,0,0,5,7,13,5,7,10,14,9,6];
paths[715] = [4,2,3,1,2,3,3,0,1,0,0,0,5,7,13,5,7,10,14,10,4];
paths[716] = [2,2,3,3,2,3,2,1,1,0,0,0,5,7,13,5,7,10,15,9,5];
paths[717] = [2,2,3,3,2,3,2,0,1,0,0,0,5,7,13,5,7,10,16,7,6];
paths[718] = [2,2,3,3,2,3,3,1,1,0,0,0,5,7,13,5,7,10,16,9,4];
paths[719] = [2,2,3,3,2,3,3,0,1,0,0,0,5,7,13,5,7,10,17,7,5];
paths[720] = [4,2,3,3,2,3,2,1,1,0,0,0,5,7,13,5,7,10,18,7,4];
paths[721] = [4,2,3,3,2,3,2,0,1,0,0,0,5,7,13,5,7,10,19,5,5];
paths[722] = [4,2,3,3,2,3,3,1,1,0,0,0,5,7,13,5,7,10,19,7,3];
paths[723] = [4,2,3,3,2,3,3,0,1,0,0,0,5,7,13,5,7,10,20,5,4];
paths[724] = [4,2,3,3,1,3,2,0,1,0,0,0,5,7,13,5,7,10,22,3,6];
paths[725] = [4,2,3,3,1,3,3,0,1,0,0,0,5,7,13,5,7,10,23,3,5];
paths[726] = [2,2,1,0,3,0,2,1,1,0,0,0,5,7,13,5,8,9,5,17,9];
paths[727] = [2,2,1,1,3,0,2,1,1,0,0,0,5,7,13,5,8,9,5,18,7];
paths[728] = [2,2,1,0,2,0,2,1,1,0,0,0,5,7,13,5,8,9,6,15,8];
paths[729] = [2,2,1,1,2,0,2,1,1,0,0,0,5,7,13,5,8,9,6,16,6];
paths[730] = [2,2,1,0,2,0,2,0,1,0,0,0,5,7,13,5,8,9,7,13,9];
paths[731] = [2,2,1,1,2,0,2,0,1,0,0,0,5,7,13,5,8,9,7,14,7];
paths[732] = [2,2,1,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,7,16,5];
paths[733] = [2,2,1,0,2,0,3,0,1,0,0,0,5,7,13,5,8,9,8,13,8];
paths[734] = [2,2,1,1,2,0,3,0,1,0,0,0,5,7,13,5,8,9,8,14,6];
paths[735] = [2,2,0,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,8,19,4];
paths[736] = [2,2,1,2,2,0,2,1,1,0,0,0,5,7,13,5,8,9,9,13,7];
paths[737] = [2,2,3,1,2,0,2,1,1,0,0,0,5,7,13,5,8,9,9,14,5];
paths[738] = [2,2,1,2,2,0,2,0,1,0,0,0,5,7,13,5,8,9,10,11,8];
paths[739] = [2,2,3,1,2,0,2,0,1,0,0,0,5,7,13,5,8,9,10,12,6];
paths[740] = [2,2,3,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,10,14,4];
paths[741] = [2,2,1,2,2,0,3,0,1,0,0,0,5,7,13,5,8,9,11,11,7];
paths[742] = [2,2,3,1,2,0,3,0,1,0,0,0,5,7,13,5,8,9,11,12,5];
paths[743] = [4,2,0,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,11,17,3];
paths[744] = [2,2,1,3,2,0,2,1,1,0,0,0,5,7,13,5,8,9,12,11,6];
paths[745] = [4,2,3,1,2,0,2,1,1,0,0,0,5,7,13,5,8,9,12,12,4];
paths[746] = [2,2,1,3,2,0,2,0,1,0,0,0,5,7,13,5,8,9,13,9,7];
paths[747] = [4,2,3,1,2,0,2,0,1,0,0,0,5,7,13,5,8,9,13,10,5];
paths[748] = [4,2,3,1,2,0,3,1,1,0,0,0,5,7,13,5,8,9,13,12,3];
paths[749] = [2,2,1,3,2,0,3,0,1,0,0,0,5,7,13,5,8,9,14,9,6];
paths[750] = [4,2,3,1,2,0,3,0,1,0,0,0,5,7,13,5,8,9,14,10,4];
paths[751] = [2,2,3,3,2,0,2,1,1,0,0,0,5,7,13,5,8,9,15,9,5];
paths[752] = [2,2,3,3,2,0,2,0,1,0,0,0,5,7,13,5,8,9,16,7,6];
paths[753] = [2,2,3,3,2,0,3,1,1,0,0,0,5,7,13,5,8,9,16,9,4];
paths[754] = [2,2,3,3,2,0,3,0,1,0,0,0,5,7,13,5,8,9,17,7,5];
paths[755] = [4,2,3,3,2,0,2,1,1,0,0,0,5,7,13,5,8,9,18,7,4];
paths[756] = [4,2,3,3,2,0,2,0,1,0,0,0,5,7,13,5,8,9,19,5,5];
paths[757] = [4,2,3,3,2,0,3,1,1,0,0,0,5,7,13,5,8,9,19,7,3];
paths[758] = [4,2,3,3,2,0,3,0,1,0,0,0,5,7,13,5,8,9,20,5,4];
paths[759] = [4,2,3,3,1,0,2,0,1,0,0,0,5,7,13,5,8,9,22,3,6];
paths[760] = [4,2,3,3,1,0,3,0,1,0,0,0,5,7,13,5,8,9,23,3,5];
paths[761] = [2,1,1,0,3,1,2,1,1,0,0,0,5,7,13,8,12,7,5,17,9];
paths[762] = [2,1,1,1,3,1,2,1,1,0,0,0,5,7,13,8,12,7,5,18,7];
paths[763] = [2,1,1,0,2,1,2,1,1,0,0,0,5,7,13,8,12,7,6,15,8];
paths[764] = [2,1,1,1,2,1,2,1,1,0,0,0,5,7,13,8,12,7,6,16,6];
paths[765] = [2,1,1,0,2,1,2,0,1,0,0,0,5,7,13,8,12,7,7,13,9];
paths[766] = [2,1,1,1,2,1,2,0,1,0,0,0,5,7,13,8,12,7,7,14,7];
paths[767] = [2,1,1,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,7,16,5];
paths[768] = [2,1,1,0,2,1,3,0,1,0,0,0,5,7,13,8,12,7,8,13,8];
paths[769] = [2,1,1,1,2,1,3,0,1,0,0,0,5,7,13,8,12,7,8,14,6];
paths[770] = [2,1,0,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,8,19,4];
paths[771] = [2,1,1,2,2,1,2,1,1,0,0,0,5,7,13,8,12,7,9,13,7];
paths[772] = [2,1,3,1,2,1,2,1,1,0,0,0,5,7,13,8,12,7,9,14,5];
paths[773] = [2,1,1,2,2,1,2,0,1,0,0,0,5,7,13,8,12,7,10,11,8];
paths[774] = [2,1,3,1,2,1,2,0,1,0,0,0,5,7,13,8,12,7,10,12,6];
paths[775] = [2,1,3,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,10,14,4];
paths[776] = [2,1,1,2,2,1,3,0,1,0,0,0,5,7,13,8,12,7,11,11,7];
paths[777] = [2,1,3,1,2,1,3,0,1,0,0,0,5,7,13,8,12,7,11,12,5];
paths[778] = [4,1,0,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,11,17,3];
paths[779] = [2,1,1,3,2,1,2,1,1,0,0,0,5,7,13,8,12,7,12,11,6];
paths[780] = [4,1,3,1,2,1,2,1,1,0,0,0,5,7,13,8,12,7,12,12,4];
paths[781] = [2,1,1,3,2,1,2,0,1,0,0,0,5,7,13,8,12,7,13,9,7];
paths[782] = [4,1,3,1,2,1,2,0,1,0,0,0,5,7,13,8,12,7,13,10,5];
paths[783] = [4,1,3,1,2,1,3,1,1,0,0,0,5,7,13,8,12,7,13,12,3];
paths[784] = [2,1,1,3,2,1,3,0,1,0,0,0,5,7,13,8,12,7,14,9,6];
paths[785] = [4,1,3,1,2,1,3,0,1,0,0,0,5,7,13,8,12,7,14,10,4];
paths[786] = [2,1,3,3,2,1,2,1,1,0,0,0,5,7,13,8,12,7,15,9,5];
paths[787] = [2,1,3,3,2,1,2,0,1,0,0,0,5,7,13,8,12,7,16,7,6];
paths[788] = [2,1,3,3,2,1,3,1,1,0,0,0,5,7,13,8,12,7,16,9,4];
paths[789] = [2,1,3,3,2,1,3,0,1,0,0,0,5,7,13,8,12,7,17,7,5];
paths[790] = [4,1,3,3,2,1,2,1,1,0,0,0,5,7,13,8,12,7,18,7,4];
paths[791] = [4,1,3,3,2,1,2,0,1,0,0,0,5,7,13,8,12,7,19,5,5];
paths[792] = [4,1,3,3,2,1,3,1,1,0,0,0,5,7,13,8,12,7,19,7,3];
paths[793] = [4,1,3,3,2,1,3,0,1,0,0,0,5,7,13,8,12,7,20,5,4];
paths[794] = [4,1,3,3,1,1,2,0,1,0,0,0,5,7,13,8,12,7,22,3,6];
paths[795] = [4,1,3,3,1,1,3,0,1,0,0,0,5,7,13,8,12,7,23,3,5];
paths[796] = [2,2,4,0,3,1,2,1,1,0,0,0,5,7,13,8,14,5,5,17,9];
paths[797] = [2,2,4,1,3,1,2,1,1,0,0,0,5,7,13,8,14,5,5,18,7];
paths[798] = [2,2,4,0,2,1,2,1,1,0,0,0,5,7,13,8,14,5,6,15,8];
paths[799] = [2,2,4,1,2,1,2,1,1,0,0,0,5,7,13,8,14,5,6,16,6];
paths[800] = [2,2,4,0,2,1,2,0,1,0,0,0,5,7,13,8,14,5,7,13,9];
paths[801] = [2,2,4,1,2,1,2,0,1,0,0,0,5,7,13,8,14,5,7,14,7];
paths[802] = [2,2,4,1,2,1,3,1,1,0,0,0,5,7,13,8,14,5,7,16,5];
paths[803] = [2,2,4,0,2,1,3,0,1,0,0,0,5,7,13,8,14,5,8,13,8];
paths[804] = [2,2,4,1,2,1,3,0,1,0,0,0,5,7,13,8,14,5,8,14,6];
paths[805] = [2,2,4,2,2,1,2,1,1,0,0,0,5,7,13,8,14,5,9,13,7];
paths[806] = [2,2,5,1,2,1,2,1,1,0,0,0,5,7,13,8,14,5,9,14,5];
paths[807] = [2,2,4,2,2,1,2,0,1,0,0,0,5,7,13,8,14,5,10,11,8];
paths[808] = [2,2,5,1,2,1,2,0,1,0,0,0,5,7,13,8,14,5,10,12,6];
paths[809] = [2,2,5,1,2,1,3,1,1,0,0,0,5,7,13,8,14,5,10,14,4];
paths[810] = [2,2,4,2,2,1,3,0,1,0,0,0,5,7,13,8,14,5,11,11,7];
paths[811] = [2,2,5,1,2,1,3,0,1,0,0,0,5,7,13,8,14,5,11,12,5];
paths[812] = [2,2,4,3,2,1,2,1,1,0,0,0,5,7,13,8,14,5,12,11,6];
paths[813] = [4,2,5,1,2,1,2,1,1,0,0,0,5,7,13,8,14,5,12,12,4];
paths[814] = [2,2,4,3,2,1,2,0,1,0,0,0,5,7,13,8,14,5,13,9,7];
paths[815] = [4,2,5,1,2,1,2,0,1,0,0,0,5,7,13,8,14,5,13,10,5];
paths[816] = [4,2,5,1,2,1,3,1,1,0,0,0,5,7,13,8,14,5,13,12,3];
paths[817] = [2,2,4,3,2,1,3,0,1,0,0,0,5,7,13,8,14,5,14,9,6];
paths[818] = [4,2,5,1,2,1,3,0,1,0,0,0,5,7,13,8,14,5,14,10,4];
paths[819] = [2,2,5,3,2,1,2,1,1,0,0,0,5,7,13,8,14,5,15,9,5];
paths[820] = [2,2,5,3,2,1,2,0,1,0,0,0,5,7,13,8,14,5,16,7,6];
paths[821] = [2,2,5,3,2,1,3,1,1,0,0,0,5,7,13,8,14,5,16,9,4];
paths[822] = [2,2,5,3,2,1,3,0,1,0,0,0,5,7,13,8,14,5,17,7,5];
paths[823] = [4,2,5,3,2,1,2,1,1,0,0,0,5,7,13,8,14,5,18,7,4];
paths[824] = [4,2,5,3,2,1,2,0,1,0,0,0,5,7,13,8,14,5,19,5,5];
paths[825] = [4,2,5,3,2,1,3,1,1,0,0,0,5,7,13,8,14,5,19,7,3];
paths[826] = [4,2,5,3,2,1,3,0,1,0,0,0,5,7,13,8,14,5,20,5,4];
paths[827] = [4,2,5,3,1,1,2,0,1,0,0,0,5,7,13,8,14,5,22,3,6];
paths[828] = [4,2,5,3,1,1,3,0,1,0,0,0,5,7,13,8,14,5,23,3,5];
paths[829] = [2,2,4,0,3,2,2,1,1,0,0,0,5,7,13,9,10,7,5,17,9];
paths[830] = [2,2,4,1,3,2,2,1,1,0,0,0,5,7,13,9,10,7,5,18,7];
paths[831] = [2,2,4,0,2,2,2,1,1,0,0,0,5,7,13,9,10,7,6,15,8];
paths[832] = [2,2,4,1,2,2,2,1,1,0,0,0,5,7,13,9,10,7,6,16,6];
paths[833] = [2,2,4,0,2,2,2,0,1,0,0,0,5,7,13,9,10,7,7,13,9];
paths[834] = [2,2,4,1,2,2,2,0,1,0,0,0,5,7,13,9,10,7,7,14,7];
paths[835] = [2,2,4,1,2,2,3,1,1,0,0,0,5,7,13,9,10,7,7,16,5];
paths[836] = [2,2,4,0,2,2,3,0,1,0,0,0,5,7,13,9,10,7,8,13,8];
paths[837] = [2,2,4,1,2,2,3,0,1,0,0,0,5,7,13,9,10,7,8,14,6];
paths[838] = [2,2,4,2,2,2,2,1,1,0,0,0,5,7,13,9,10,7,9,13,7];
paths[839] = [2,2,5,1,2,2,2,1,1,0,0,0,5,7,13,9,10,7,9,14,5];
paths[840] = [2,2,4,2,2,2,2,0,1,0,0,0,5,7,13,9,10,7,10,11,8];
paths[841] = [2,2,5,1,2,2,2,0,1,0,0,0,5,7,13,9,10,7,10,12,6];
paths[842] = [2,2,5,1,2,2,3,1,1,0,0,0,5,7,13,9,10,7,10,14,4];
paths[843] = [2,2,4,2,2,2,3,0,1,0,0,0,5,7,13,9,10,7,11,11,7];
paths[844] = [2,2,5,1,2,2,3,0,1,0,0,0,5,7,13,9,10,7,11,12,5];
paths[845] = [2,2,4,3,2,2,2,1,1,0,0,0,5,7,13,9,10,7,12,11,6];
paths[846] = [4,2,5,1,2,2,2,1,1,0,0,0,5,7,13,9,10,7,12,12,4];
paths[847] = [2,2,4,3,2,2,2,0,1,0,0,0,5,7,13,9,10,7,13,9,7];
paths[848] = [4,2,5,1,2,2,2,0,1,0,0,0,5,7,13,9,10,7,13,10,5];
paths[849] = [4,2,5,1,2,2,3,1,1,0,0,0,5,7,13,9,10,7,13,12,3];
paths[850] = [2,2,4,3,2,2,3,0,1,0,0,0,5,7,13,9,10,7,14,9,6];
paths[851] = [4,2,5,1,2,2,3,0,1,0,0,0,5,7,13,9,10,7,14,10,4];
paths[852] = [2,2,5,3,2,2,2,1,1,0,0,0,5,7,13,9,10,7,15,9,5];
paths[853] = [2,2,5,3,2,2,2,0,1,0,0,0,5,7,13,9,10,7,16,7,6];
paths[854] = [2,2,5,3,2,2,3,1,1,0,0,0,5,7,13,9,10,7,16,9,4];
paths[855] = [2,2,5,3,2,2,3,0,1,0,0,0,5,7,13,9,10,7,17,7,5];
paths[856] = [4,2,5,3,2,2,2,1,1,0,0,0,5,7,13,9,10,7,18,7,4];
paths[857] = [4,2,5,3,2,2,2,0,1,0,0,0,5,7,13,9,10,7,19,5,5];
paths[858] = [4,2,5,3,2,2,3,1,1,0,0,0,5,7,13,9,10,7,19,7,3];
paths[859] = [4,2,5,3,2,2,3,0,1,0,0,0,5,7,13,9,10,7,20,5,4];
paths[860] = [4,2,5,3,1,2,2,0,1,0,0,0,5,7,13,9,10,7,22,3,6];
paths[861] = [4,2,5,3,1,2,3,0,1,0,0,0,5,7,13,9,10,7,23,3,5];
paths[862] = [2,1,1,0,3,3,2,1,1,0,0,0,5,7,13,10,6,11,5,17,9];
paths[863] = [2,1,1,1,3,3,2,1,1,0,0,0,5,7,13,10,6,11,5,18,7];
paths[864] = [2,1,1,0,2,3,2,1,1,0,0,0,5,7,13,10,6,11,6,15,8];
paths[865] = [2,1,1,1,2,3,2,1,1,0,0,0,5,7,13,10,6,11,6,16,6];
paths[866] = [2,1,1,0,2,3,2,0,1,0,0,0,5,7,13,10,6,11,7,13,9];
paths[867] = [2,1,1,1,2,3,2,0,1,0,0,0,5,7,13,10,6,11,7,14,7];
paths[868] = [2,1,1,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,7,16,5];
paths[869] = [2,1,1,0,2,3,3,0,1,0,0,0,5,7,13,10,6,11,8,13,8];
paths[870] = [2,1,1,1,2,3,3,0,1,0,0,0,5,7,13,10,6,11,8,14,6];
paths[871] = [2,1,0,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,8,19,4];
paths[872] = [2,1,1,2,2,3,2,1,1,0,0,0,5,7,13,10,6,11,9,13,7];
paths[873] = [2,1,3,1,2,3,2,1,1,0,0,0,5,7,13,10,6,11,9,14,5];
paths[874] = [2,1,1,2,2,3,2,0,1,0,0,0,5,7,13,10,6,11,10,11,8];
paths[875] = [2,1,3,1,2,3,2,0,1,0,0,0,5,7,13,10,6,11,10,12,6];
paths[876] = [2,1,3,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,10,14,4];
paths[877] = [2,1,1,2,2,3,3,0,1,0,0,0,5,7,13,10,6,11,11,11,7];
paths[878] = [2,1,3,1,2,3,3,0,1,0,0,0,5,7,13,10,6,11,11,12,5];
paths[879] = [4,1,0,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,11,17,3];
paths[880] = [2,1,1,3,2,3,2,1,1,0,0,0,5,7,13,10,6,11,12,11,6];
paths[881] = [4,1,3,1,2,3,2,1,1,0,0,0,5,7,13,10,6,11,12,12,4];
paths[882] = [2,1,1,3,2,3,2,0,1,0,0,0,5,7,13,10,6,11,13,9,7];
paths[883] = [4,1,3,1,2,3,2,0,1,0,0,0,5,7,13,10,6,11,13,10,5];
paths[884] = [4,1,3,1,2,3,3,1,1,0,0,0,5,7,13,10,6,11,13,12,3];
paths[885] = [2,1,1,3,2,3,3,0,1,0,0,0,5,7,13,10,6,11,14,9,6];
paths[886] = [4,1,3,1,2,3,3,0,1,0,0,0,5,7,13,10,6,11,14,10,4];
paths[887] = [2,1,3,3,2,3,2,1,1,0,0,0,5,7,13,10,6,11,15,9,5];
paths[888] = [2,1,3,3,2,3,2,0,1,0,0,0,5,7,13,10,6,11,16,7,6];
paths[889] = [2,1,3,3,2,3,3,1,1,0,0,0,5,7,13,10,6,11,16,9,4];
paths[890] = [2,1,3,3,2,3,3,0,1,0,0,0,5,7,13,10,6,11,17,7,5];
paths[891] = [4,1,3,3,2,3,2,1,1,0,0,0,5,7,13,10,6,11,18,7,4];
paths[892] = [4,1,3,3,2,3,2,0,1,0,0,0,5,7,13,10,6,11,19,5,5];
paths[893] = [4,1,3,3,2,3,3,1,1,0,0,0,5,7,13,10,6,11,19,7,3];
paths[894] = [4,1,3,3,2,3,3,0,1,0,0,0,5,7,13,10,6,11,20,5,4];
paths[895] = [4,1,3,3,1,3,2,0,1,0,0,0,5,7,13,10,6,11,22,3,6];
paths[896] = [4,1,3,3,1,3,3,0,1,0,0,0,5,7,13,10,6,11,23,3,5];
paths[897] = [0,2,1,0,0,1,2,1,1,0,0,0,6,6,14,2,17,8,6,15,8];
paths[898] = [0,2,1,1,0,1,2,1,1,0,0,0,6,6,14,2,17,8,6,16,6];
paths[899] = [0,2,1,0,0,1,2,0,1,0,0,0,6,6,14,2,17,8,7,13,9];
paths[900] = [0,2,1,1,0,1,2,0,1,0,0,0,6,6,14,2,17,8,7,14,7];
paths[901] = [0,2,1,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,7,16,5];
paths[902] = [0,2,1,0,0,1,3,0,1,0,0,0,6,6,14,2,17,8,8,13,8];
paths[903] = [0,2,1,1,0,1,3,0,1,0,0,0,6,6,14,2,17,8,8,14,6];
paths[904] = [0,2,0,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,8,19,4];
paths[905] = [0,2,1,2,0,1,2,1,1,0,0,0,6,6,14,2,17,8,9,13,7];
paths[906] = [0,2,3,1,0,1,2,1,1,0,0,0,6,6,14,2,17,8,9,14,5];
paths[907] = [0,2,1,2,0,1,2,0,1,0,0,0,6,6,14,2,17,8,10,11,8];
paths[908] = [0,2,3,1,0,1,2,0,1,0,0,0,6,6,14,2,17,8,10,12,6];
paths[909] = [0,2,3,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,10,14,4];
paths[910] = [0,2,1,2,0,1,3,0,1,0,0,0,6,6,14,2,17,8,11,11,7];
paths[911] = [0,2,3,1,0,1,3,0,1,0,0,0,6,6,14,2,17,8,11,12,5];
paths[912] = [1,2,0,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,11,17,3];
paths[913] = [0,2,1,3,0,1,2,1,1,0,0,0,6,6,14,2,17,8,12,11,6];
paths[914] = [1,2,3,1,0,1,2,1,1,0,0,0,6,6,14,2,17,8,12,12,4];
paths[915] = [0,2,1,3,0,1,2,0,1,0,0,0,6,6,14,2,17,8,13,9,7];
paths[916] = [1,2,3,1,0,1,2,0,1,0,0,0,6,6,14,2,17,8,13,10,5];
paths[917] = [1,2,3,1,0,1,3,1,1,0,0,0,6,6,14,2,17,8,13,12,3];
paths[918] = [0,2,1,3,0,1,3,0,1,0,0,0,6,6,14,2,17,8,14,9,6];
paths[919] = [1,2,3,1,0,1,3,0,1,0,0,0,6,6,14,2,17,8,14,10,4];
paths[920] = [0,2,3,3,0,1,2,1,1,0,0,0,6,6,14,2,17,8,15,9,5];
paths[921] = [0,2,3,3,0,1,2,0,1,0,0,0,6,6,14,2,17,8,16,7,6];
paths[922] = [0,2,3,3,0,1,3,1,1,0,0,0,6,6,14,2,17,8,16,9,4];
paths[923] = [0,2,3,3,0,1,3,0,1,0,0,0,6,6,14,2,17,8,17,7,5];
paths[924] = [1,2,3,3,0,1,2,1,1,0,0,0,6,6,14,2,17,8,18,7,4];
paths[925] = [1,2,3,3,0,1,2,0,1,0,0,0,6,6,14,2,17,8,19,5,5];
paths[926] = [1,2,3,3,0,1,3,1,1,0,0,0,6,6,14,2,17,8,19,7,3];
paths[927] = [1,2,3,3,0,1,3,0,1,0,0,0,6,6,14,2,17,8,20,5,4];
paths[928] = [2,2,1,0,0,1,2,1,1,0,0,0,6,6,14,3,13,6,6,15,8];
paths[929] = [2,2,1,1,0,1,2,1,1,0,0,0,6,6,14,3,13,6,6,16,6];
paths[930] = [2,2,1,0,0,1,2,0,1,0,0,0,6,6,14,3,13,6,7,13,9];
paths[931] = [2,2,1,1,0,1,2,0,1,0,0,0,6,6,14,3,13,6,7,14,7];
paths[932] = [2,2,1,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,7,16,5];
paths[933] = [2,2,1,0,0,1,3,0,1,0,0,0,6,6,14,3,13,6,8,13,8];
paths[934] = [2,2,1,1,0,1,3,0,1,0,0,0,6,6,14,3,13,6,8,14,6];
paths[935] = [2,2,0,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,8,19,4];
paths[936] = [2,2,1,2,0,1,2,1,1,0,0,0,6,6,14,3,13,6,9,13,7];
paths[937] = [2,2,3,1,0,1,2,1,1,0,0,0,6,6,14,3,13,6,9,14,5];
paths[938] = [2,2,1,2,0,1,2,0,1,0,0,0,6,6,14,3,13,6,10,11,8];
paths[939] = [2,2,3,1,0,1,2,0,1,0,0,0,6,6,14,3,13,6,10,12,6];
paths[940] = [2,2,3,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,10,14,4];
paths[941] = [2,2,1,2,0,1,3,0,1,0,0,0,6,6,14,3,13,6,11,11,7];
paths[942] = [2,2,3,1,0,1,3,0,1,0,0,0,6,6,14,3,13,6,11,12,5];
paths[943] = [4,2,0,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,11,17,3];
paths[944] = [2,2,1,3,0,1,2,1,1,0,0,0,6,6,14,3,13,6,12,11,6];
paths[945] = [4,2,3,1,0,1,2,1,1,0,0,0,6,6,14,3,13,6,12,12,4];
paths[946] = [2,2,1,3,0,1,2,0,1,0,0,0,6,6,14,3,13,6,13,9,7];
paths[947] = [4,2,3,1,0,1,2,0,1,0,0,0,6,6,14,3,13,6,13,10,5];
paths[948] = [4,2,3,1,0,1,3,1,1,0,0,0,6,6,14,3,13,6,13,12,3];
paths[949] = [2,2,1,3,0,1,3,0,1,0,0,0,6,6,14,3,13,6,14,9,6];
paths[950] = [4,2,3,1,0,1,3,0,1,0,0,0,6,6,14,3,13,6,14,10,4];
paths[951] = [2,2,3,3,0,1,2,1,1,0,0,0,6,6,14,3,13,6,15,9,5];
paths[952] = [2,2,3,3,0,1,2,0,1,0,0,0,6,6,14,3,13,6,16,7,6];
paths[953] = [2,2,3,3,0,1,3,1,1,0,0,0,6,6,14,3,13,6,16,9,4];
paths[954] = [2,2,3,3,0,1,3,0,1,0,0,0,6,6,14,3,13,6,17,7,5];
paths[955] = [4,2,3,3,0,1,2,1,1,0,0,0,6,6,14,3,13,6,18,7,4];
paths[956] = [4,2,3,3,0,1,2,0,1,0,0,0,6,6,14,3,13,6,19,5,5];
paths[957] = [4,2,3,3,0,1,3,1,1,0,0,0,6,6,14,3,13,6,19,7,3];
paths[958] = [4,2,3,3,0,1,3,0,1,0,0,0,6,6,14,3,13,6,20,5,4];
paths[959] = [2,2,1,0,0,2,2,1,1,0,0,0,6,6,14,4,9,8,6,15,8];
paths[960] = [2,2,1,1,0,2,2,1,1,0,0,0,6,6,14,4,9,8,6,16,6];
paths[961] = [2,2,1,0,0,2,2,0,1,0,0,0,6,6,14,4,9,8,7,13,9];
paths[962] = [2,2,1,1,0,2,2,0,1,0,0,0,6,6,14,4,9,8,7,14,7];
paths[963] = [2,2,1,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,7,16,5];
paths[964] = [2,2,1,0,0,2,3,0,1,0,0,0,6,6,14,4,9,8,8,13,8];
paths[965] = [2,2,1,1,0,2,3,0,1,0,0,0,6,6,14,4,9,8,8,14,6];
paths[966] = [2,2,0,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,8,19,4];
paths[967] = [2,2,1,2,0,2,2,1,1,0,0,0,6,6,14,4,9,8,9,13,7];
paths[968] = [2,2,3,1,0,2,2,1,1,0,0,0,6,6,14,4,9,8,9,14,5];
paths[969] = [2,2,1,2,0,2,2,0,1,0,0,0,6,6,14,4,9,8,10,11,8];
paths[970] = [2,2,3,1,0,2,2,0,1,0,0,0,6,6,14,4,9,8,10,12,6];
paths[971] = [2,2,3,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,10,14,4];
paths[972] = [2,2,1,2,0,2,3,0,1,0,0,0,6,6,14,4,9,8,11,11,7];
paths[973] = [2,2,3,1,0,2,3,0,1,0,0,0,6,6,14,4,9,8,11,12,5];
paths[974] = [4,2,0,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,11,17,3];
paths[975] = [2,2,1,3,0,2,2,1,1,0,0,0,6,6,14,4,9,8,12,11,6];
paths[976] = [4,2,3,1,0,2,2,1,1,0,0,0,6,6,14,4,9,8,12,12,4];
paths[977] = [2,2,1,3,0,2,2,0,1,0,0,0,6,6,14,4,9,8,13,9,7];
paths[978] = [4,2,3,1,0,2,2,0,1,0,0,0,6,6,14,4,9,8,13,10,5];
paths[979] = [4,2,3,1,0,2,3,1,1,0,0,0,6,6,14,4,9,8,13,12,3];
paths[980] = [2,2,1,3,0,2,3,0,1,0,0,0,6,6,14,4,9,8,14,9,6];
paths[981] = [4,2,3,1,0,2,3,0,1,0,0,0,6,6,14,4,9,8,14,10,4];
paths[982] = [2,2,3,3,0,2,2,1,1,0,0,0,6,6,14,4,9,8,15,9,5];
paths[983] = [2,2,3,3,0,2,2,0,1,0,0,0,6,6,14,4,9,8,16,7,6];
paths[984] = [2,2,3,3,0,2,3,1,1,0,0,0,6,6,14,4,9,8,16,9,4];
paths[985] = [2,2,3,3,0,2,3,0,1,0,0,0,6,6,14,4,9,8,17,7,5];
paths[986] = [4,2,3,3,0,2,2,1,1,0,0,0,6,6,14,4,9,8,18,7,4];
paths[987] = [4,2,3,3,0,2,2,0,1,0,0,0,6,6,14,4,9,8,19,5,5];
paths[988] = [4,2,3,3,0,2,3,1,1,0,0,0,6,6,14,4,9,8,19,7,3];
paths[989] = [4,2,3,3,0,2,3,0,1,0,0,0,6,6,14,4,9,8,20,5,4];
paths[990] = [2,2,1,0,0,3,2,1,1,0,0,0,6,6,14,5,7,10,6,15,8];
paths[991] = [2,2,1,1,0,3,2,1,1,0,0,0,6,6,14,5,7,10,6,16,6];
paths[992] = [2,2,1,0,0,3,2,0,1,0,0,0,6,6,14,5,7,10,7,13,9];
paths[993] = [2,2,1,1,0,3,2,0,1,0,0,0,6,6,14,5,7,10,7,14,7];
paths[994] = [2,2,1,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,7,16,5];
paths[995] = [2,2,1,0,0,3,3,0,1,0,0,0,6,6,14,5,7,10,8,13,8];
paths[996] = [2,2,1,1,0,3,3,0,1,0,0,0,6,6,14,5,7,10,8,14,6];
paths[997] = [2,2,0,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,8,19,4];
paths[998] = [2,2,1,2,0,3,2,1,1,0,0,0,6,6,14,5,7,10,9,13,7];
paths[999] = [2,2,3,1,0,3,2,1,1,0,0,0,6,6,14,5,7,10,9,14,5];
paths[1000] = [2,2,1,2,0,3,2,0,1,0,0,0,6,6,14,5,7,10,10,11,8];
paths[1001] = [2,2,3,1,0,3,2,0,1,0,0,0,6,6,14,5,7,10,10,12,6];
paths[1002] = [2,2,3,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,10,14,4];
paths[1003] = [2,2,1,2,0,3,3,0,1,0,0,0,6,6,14,5,7,10,11,11,7];
paths[1004] = [2,2,3,1,0,3,3,0,1,0,0,0,6,6,14,5,7,10,11,12,5];
paths[1005] = [4,2,0,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,11,17,3];
paths[1006] = [2,2,1,3,0,3,2,1,1,0,0,0,6,6,14,5,7,10,12,11,6];
paths[1007] = [4,2,3,1,0,3,2,1,1,0,0,0,6,6,14,5,7,10,12,12,4];
paths[1008] = [2,2,1,3,0,3,2,0,1,0,0,0,6,6,14,5,7,10,13,9,7];
paths[1009] = [4,2,3,1,0,3,2,0,1,0,0,0,6,6,14,5,7,10,13,10,5];
paths[1010] = [4,2,3,1,0,3,3,1,1,0,0,0,6,6,14,5,7,10,13,12,3];
paths[1011] = [2,2,1,3,0,3,3,0,1,0,0,0,6,6,14,5,7,10,14,9,6];
paths[1012] = [4,2,3,1,0,3,3,0,1,0,0,0,6,6,14,5,7,10,14,10,4];
paths[1013] = [2,2,3,3,0,3,2,1,1,0,0,0,6,6,14,5,7,10,15,9,5];
paths[1014] = [2,2,3,3,0,3,2,0,1,0,0,0,6,6,14,5,7,10,16,7,6];
paths[1015] = [2,2,3,3,0,3,3,1,1,0,0,0,6,6,14,5,7,10,16,9,4];
paths[1016] = [2,2,3,3,0,3,3,0,1,0,0,0,6,6,14,5,7,10,17,7,5];
paths[1017] = [4,2,3,3,0,3,2,1,1,0,0,0,6,6,14,5,7,10,18,7,4];
paths[1018] = [4,2,3,3,0,3,2,0,1,0,0,0,6,6,14,5,7,10,19,5,5];
paths[1019] = [4,2,3,3,0,3,3,1,1,0,0,0,6,6,14,5,7,10,19,7,3];
paths[1020] = [4,2,3,3,0,3,3,0,1,0,0,0,6,6,14,5,7,10,20,5,4];
paths[1021] = [2,2,1,0,0,0,2,1,1,0,0,0,6,6,14,5,8,9,6,15,8];
paths[1022] = [2,2,1,1,0,0,2,1,1,0,0,0,6,6,14,5,8,9,6,16,6];
paths[1023] = [2,2,1,0,0,0,2,0,1,0,0,0,6,6,14,5,8,9,7,13,9];
paths[1024] = [2,2,1,1,0,0,2,0,1,0,0,0,6,6,14,5,8,9,7,14,7];
paths[1025] = [2,2,1,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,7,16,5];
paths[1026] = [2,2,1,0,0,0,3,0,1,0,0,0,6,6,14,5,8,9,8,13,8];
paths[1027] = [2,2,1,1,0,0,3,0,1,0,0,0,6,6,14,5,8,9,8,14,6];
paths[1028] = [2,2,0,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,8,19,4];
paths[1029] = [2,2,1,2,0,0,2,1,1,0,0,0,6,6,14,5,8,9,9,13,7];
paths[1030] = [2,2,3,1,0,0,2,1,1,0,0,0,6,6,14,5,8,9,9,14,5];
paths[1031] = [2,2,1,2,0,0,2,0,1,0,0,0,6,6,14,5,8,9,10,11,8];
paths[1032] = [2,2,3,1,0,0,2,0,1,0,0,0,6,6,14,5,8,9,10,12,6];
paths[1033] = [2,2,3,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,10,14,4];
paths[1034] = [2,2,1,2,0,0,3,0,1,0,0,0,6,6,14,5,8,9,11,11,7];
paths[1035] = [2,2,3,1,0,0,3,0,1,0,0,0,6,6,14,5,8,9,11,12,5];
paths[1036] = [4,2,0,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,11,17,3];
paths[1037] = [2,2,1,3,0,0,2,1,1,0,0,0,6,6,14,5,8,9,12,11,6];
paths[1038] = [4,2,3,1,0,0,2,1,1,0,0,0,6,6,14,5,8,9,12,12,4];
paths[1039] = [2,2,1,3,0,0,2,0,1,0,0,0,6,6,14,5,8,9,13,9,7];
paths[1040] = [4,2,3,1,0,0,2,0,1,0,0,0,6,6,14,5,8,9,13,10,5];
paths[1041] = [4,2,3,1,0,0,3,1,1,0,0,0,6,6,14,5,8,9,13,12,3];
paths[1042] = [2,2,1,3,0,0,3,0,1,0,0,0,6,6,14,5,8,9,14,9,6];
paths[1043] = [4,2,3,1,0,0,3,0,1,0,0,0,6,6,14,5,8,9,14,10,4];
paths[1044] = [2,2,3,3,0,0,2,1,1,0,0,0,6,6,14,5,8,9,15,9,5];
paths[1045] = [2,2,3,3,0,0,2,0,1,0,0,0,6,6,14,5,8,9,16,7,6];
paths[1046] = [2,2,3,3,0,0,3,1,1,0,0,0,6,6,14,5,8,9,16,9,4];
paths[1047] = [2,2,3,3,0,0,3,0,1,0,0,0,6,6,14,5,8,9,17,7,5];
paths[1048] = [4,2,3,3,0,0,2,1,1,0,0,0,6,6,14,5,8,9,18,7,4];
paths[1049] = [4,2,3,3,0,0,2,0,1,0,0,0,6,6,14,5,8,9,19,5,5];
paths[1050] = [4,2,3,3,0,0,3,1,1,0,0,0,6,6,14,5,8,9,19,7,3];
paths[1051] = [4,2,3,3,0,0,3,0,1,0,0,0,6,6,14,5,8,9,20,5,4];
paths[1052] = [2,1,1,0,0,1,2,1,1,0,0,0,6,6,14,8,12,7,6,15,8];
paths[1053] = [2,1,1,1,0,1,2,1,1,0,0,0,6,6,14,8,12,7,6,16,6];
paths[1054] = [2,1,1,0,0,1,2,0,1,0,0,0,6,6,14,8,12,7,7,13,9];
paths[1055] = [2,1,1,1,0,1,2,0,1,0,0,0,6,6,14,8,12,7,7,14,7];
paths[1056] = [2,1,1,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,7,16,5];
paths[1057] = [2,1,1,0,0,1,3,0,1,0,0,0,6,6,14,8,12,7,8,13,8];
paths[1058] = [2,1,1,1,0,1,3,0,1,0,0,0,6,6,14,8,12,7,8,14,6];
paths[1059] = [2,1,0,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,8,19,4];
paths[1060] = [2,1,1,2,0,1,2,1,1,0,0,0,6,6,14,8,12,7,9,13,7];
paths[1061] = [2,1,3,1,0,1,2,1,1,0,0,0,6,6,14,8,12,7,9,14,5];
paths[1062] = [2,1,1,2,0,1,2,0,1,0,0,0,6,6,14,8,12,7,10,11,8];
paths[1063] = [2,1,3,1,0,1,2,0,1,0,0,0,6,6,14,8,12,7,10,12,6];
paths[1064] = [2,1,3,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,10,14,4];
paths[1065] = [2,1,1,2,0,1,3,0,1,0,0,0,6,6,14,8,12,7,11,11,7];
paths[1066] = [2,1,3,1,0,1,3,0,1,0,0,0,6,6,14,8,12,7,11,12,5];
paths[1067] = [4,1,0,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,11,17,3];
paths[1068] = [2,1,1,3,0,1,2,1,1,0,0,0,6,6,14,8,12,7,12,11,6];
paths[1069] = [4,1,3,1,0,1,2,1,1,0,0,0,6,6,14,8,12,7,12,12,4];
paths[1070] = [2,1,1,3,0,1,2,0,1,0,0,0,6,6,14,8,12,7,13,9,7];
paths[1071] = [4,1,3,1,0,1,2,0,1,0,0,0,6,6,14,8,12,7,13,10,5];
paths[1072] = [4,1,3,1,0,1,3,1,1,0,0,0,6,6,14,8,12,7,13,12,3];
paths[1073] = [2,1,1,3,0,1,3,0,1,0,0,0,6,6,14,8,12,7,14,9,6];
paths[1074] = [4,1,3,1,0,1,3,0,1,0,0,0,6,6,14,8,12,7,14,10,4];
paths[1075] = [2,1,3,3,0,1,2,1,1,0,0,0,6,6,14,8,12,7,15,9,5];
paths[1076] = [2,1,3,3,0,1,2,0,1,0,0,0,6,6,14,8,12,7,16,7,6];
paths[1077] = [2,1,3,3,0,1,3,1,1,0,0,0,6,6,14,8,12,7,16,9,4];
paths[1078] = [2,1,3,3,0,1,3,0,1,0,0,0,6,6,14,8,12,7,17,7,5];
paths[1079] = [4,1,3,3,0,1,2,1,1,0,0,0,6,6,14,8,12,7,18,7,4];
paths[1080] = [4,1,3,3,0,1,2,0,1,0,0,0,6,6,14,8,12,7,19,5,5];
paths[1081] = [4,1,3,3,0,1,3,1,1,0,0,0,6,6,14,8,12,7,19,7,3];
paths[1082] = [4,1,3,3,0,1,3,0,1,0,0,0,6,6,14,8,12,7,20,5,4];
paths[1083] = [2,2,4,0,0,1,2,1,1,0,0,0,6,6,14,8,14,5,6,15,8];
paths[1084] = [2,2,4,1,0,1,2,1,1,0,0,0,6,6,14,8,14,5,6,16,6];
paths[1085] = [2,2,4,0,0,1,2,0,1,0,0,0,6,6,14,8,14,5,7,13,9];
paths[1086] = [2,2,4,1,0,1,2,0,1,0,0,0,6,6,14,8,14,5,7,14,7];
paths[1087] = [2,2,4,1,0,1,3,1,1,0,0,0,6,6,14,8,14,5,7,16,5];
paths[1088] = [2,2,4,0,0,1,3,0,1,0,0,0,6,6,14,8,14,5,8,13,8];
paths[1089] = [2,2,4,1,0,1,3,0,1,0,0,0,6,6,14,8,14,5,8,14,6];
paths[1090] = [2,2,4,2,0,1,2,1,1,0,0,0,6,6,14,8,14,5,9,13,7];
paths[1091] = [2,2,5,1,0,1,2,1,1,0,0,0,6,6,14,8,14,5,9,14,5];
paths[1092] = [2,2,4,2,0,1,2,0,1,0,0,0,6,6,14,8,14,5,10,11,8];
paths[1093] = [2,2,5,1,0,1,2,0,1,0,0,0,6,6,14,8,14,5,10,12,6];
paths[1094] = [2,2,5,1,0,1,3,1,1,0,0,0,6,6,14,8,14,5,10,14,4];
paths[1095] = [2,2,4,2,0,1,3,0,1,0,0,0,6,6,14,8,14,5,11,11,7];
paths[1096] = [2,2,5,1,0,1,3,0,1,0,0,0,6,6,14,8,14,5,11,12,5];
paths[1097] = [2,2,4,3,0,1,2,1,1,0,0,0,6,6,14,8,14,5,12,11,6];
paths[1098] = [4,2,5,1,0,1,2,1,1,0,0,0,6,6,14,8,14,5,12,12,4];
paths[1099] = [2,2,4,3,0,1,2,0,1,0,0,0,6,6,14,8,14,5,13,9,7];
paths[1100] = [4,2,5,1,0,1,2,0,1,0,0,0,6,6,14,8,14,5,13,10,5];
paths[1101] = [4,2,5,1,0,1,3,1,1,0,0,0,6,6,14,8,14,5,13,12,3];
paths[1102] = [2,2,4,3,0,1,3,0,1,0,0,0,6,6,14,8,14,5,14,9,6];
paths[1103] = [4,2,5,1,0,1,3,0,1,0,0,0,6,6,14,8,14,5,14,10,4];
paths[1104] = [2,2,5,3,0,1,2,1,1,0,0,0,6,6,14,8,14,5,15,9,5];
paths[1105] = [2,2,5,3,0,1,2,0,1,0,0,0,6,6,14,8,14,5,16,7,6];
paths[1106] = [2,2,5,3,0,1,3,1,1,0,0,0,6,6,14,8,14,5,16,9,4];
paths[1107] = [2,2,5,3,0,1,3,0,1,0,0,0,6,6,14,8,14,5,17,7,5];
paths[1108] = [4,2,5,3,0,1,2,1,1,0,0,0,6,6,14,8,14,5,18,7,4];
paths[1109] = [4,2,5,3,0,1,2,0,1,0,0,0,6,6,14,8,14,5,19,5,5];
paths[1110] = [4,2,5,3,0,1,3,1,1,0,0,0,6,6,14,8,14,5,19,7,3];
paths[1111] = [4,2,5,3,0,1,3,0,1,0,0,0,6,6,14,8,14,5,20,5,4];
paths[1112] = [2,2,4,0,0,2,2,1,1,0,0,0,6,6,14,9,10,7,6,15,8];
paths[1113] = [2,2,4,1,0,2,2,1,1,0,0,0,6,6,14,9,10,7,6,16,6];
paths[1114] = [2,2,4,0,0,2,2,0,1,0,0,0,6,6,14,9,10,7,7,13,9];
paths[1115] = [2,2,4,1,0,2,2,0,1,0,0,0,6,6,14,9,10,7,7,14,7];
paths[1116] = [2,2,4,1,0,2,3,1,1,0,0,0,6,6,14,9,10,7,7,16,5];
paths[1117] = [2,2,4,0,0,2,3,0,1,0,0,0,6,6,14,9,10,7,8,13,8];
paths[1118] = [2,2,4,1,0,2,3,0,1,0,0,0,6,6,14,9,10,7,8,14,6];
paths[1119] = [2,2,4,2,0,2,2,1,1,0,0,0,6,6,14,9,10,7,9,13,7];
paths[1120] = [2,2,5,1,0,2,2,1,1,0,0,0,6,6,14,9,10,7,9,14,5];
paths[1121] = [2,2,4,2,0,2,2,0,1,0,0,0,6,6,14,9,10,7,10,11,8];
paths[1122] = [2,2,5,1,0,2,2,0,1,0,0,0,6,6,14,9,10,7,10,12,6];
paths[1123] = [2,2,5,1,0,2,3,1,1,0,0,0,6,6,14,9,10,7,10,14,4];
paths[1124] = [2,2,4,2,0,2,3,0,1,0,0,0,6,6,14,9,10,7,11,11,7];
paths[1125] = [2,2,5,1,0,2,3,0,1,0,0,0,6,6,14,9,10,7,11,12,5];
paths[1126] = [2,2,4,3,0,2,2,1,1,0,0,0,6,6,14,9,10,7,12,11,6];
paths[1127] = [4,2,5,1,0,2,2,1,1,0,0,0,6,6,14,9,10,7,12,12,4];
paths[1128] = [2,2,4,3,0,2,2,0,1,0,0,0,6,6,14,9,10,7,13,9,7];
paths[1129] = [4,2,5,1,0,2,2,0,1,0,0,0,6,6,14,9,10,7,13,10,5];
paths[1130] = [4,2,5,1,0,2,3,1,1,0,0,0,6,6,14,9,10,7,13,12,3];
paths[1131] = [2,2,4,3,0,2,3,0,1,0,0,0,6,6,14,9,10,7,14,9,6];
paths[1132] = [4,2,5,1,0,2,3,0,1,0,0,0,6,6,14,9,10,7,14,10,4];
paths[1133] = [2,2,5,3,0,2,2,1,1,0,0,0,6,6,14,9,10,7,15,9,5];
paths[1134] = [2,2,5,3,0,2,2,0,1,0,0,0,6,6,14,9,10,7,16,7,6];
paths[1135] = [2,2,5,3,0,2,3,1,1,0,0,0,6,6,14,9,10,7,16,9,4];
paths[1136] = [2,2,5,3,0,2,3,0,1,0,0,0,6,6,14,9,10,7,17,7,5];
paths[1137] = [4,2,5,3,0,2,2,1,1,0,0,0,6,6,14,9,10,7,18,7,4];
paths[1138] = [4,2,5,3,0,2,2,0,1,0,0,0,6,6,14,9,10,7,19,5,5];
paths[1139] = [4,2,5,3,0,2,3,1,1,0,0,0,6,6,14,9,10,7,19,7,3];
paths[1140] = [4,2,5,3,0,2,3,0,1,0,0,0,6,6,14,9,10,7,20,5,4];
paths[1141] = [2,1,1,0,0,3,2,1,1,0,0,0,6,6,14,10,6,11,6,15,8];
paths[1142] = [2,1,1,1,0,3,2,1,1,0,0,0,6,6,14,10,6,11,6,16,6];
paths[1143] = [2,1,1,0,0,3,2,0,1,0,0,0,6,6,14,10,6,11,7,13,9];
paths[1144] = [2,1,1,1,0,3,2,0,1,0,0,0,6,6,14,10,6,11,7,14,7];
paths[1145] = [2,1,1,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,7,16,5];
paths[1146] = [2,1,1,0,0,3,3,0,1,0,0,0,6,6,14,10,6,11,8,13,8];
paths[1147] = [2,1,1,1,0,3,3,0,1,0,0,0,6,6,14,10,6,11,8,14,6];
paths[1148] = [2,1,0,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,8,19,4];
paths[1149] = [2,1,1,2,0,3,2,1,1,0,0,0,6,6,14,10,6,11,9,13,7];
paths[1150] = [2,1,3,1,0,3,2,1,1,0,0,0,6,6,14,10,6,11,9,14,5];
paths[1151] = [2,1,1,2,0,3,2,0,1,0,0,0,6,6,14,10,6,11,10,11,8];
paths[1152] = [2,1,3,1,0,3,2,0,1,0,0,0,6,6,14,10,6,11,10,12,6];
paths[1153] = [2,1,3,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,10,14,4];
paths[1154] = [2,1,1,2,0,3,3,0,1,0,0,0,6,6,14,10,6,11,11,11,7];
paths[1155] = [2,1,3,1,0,3,3,0,1,0,0,0,6,6,14,10,6,11,11,12,5];
paths[1156] = [4,1,0,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,11,17,3];
paths[1157] = [2,1,1,3,0,3,2,1,1,0,0,0,6,6,14,10,6,11,12,11,6];
paths[1158] = [4,1,3,1,0,3,2,1,1,0,0,0,6,6,14,10,6,11,12,12,4];
paths[1159] = [2,1,1,3,0,3,2,0,1,0,0,0,6,6,14,10,6,11,13,9,7];
paths[1160] = [4,1,3,1,0,3,2,0,1,0,0,0,6,6,14,10,6,11,13,10,5];
paths[1161] = [4,1,3,1,0,3,3,1,1,0,0,0,6,6,14,10,6,11,13,12,3];
paths[1162] = [2,1,1,3,0,3,3,0,1,0,0,0,6,6,14,10,6,11,14,9,6];
paths[1163] = [4,1,3,1,0,3,3,0,1,0,0,0,6,6,14,10,6,11,14,10,4];
paths[1164] = [2,1,3,3,0,3,2,1,1,0,0,0,6,6,14,10,6,11,15,9,5];
paths[1165] = [2,1,3,3,0,3,2,0,1,0,0,0,6,6,14,10,6,11,16,7,6];
paths[1166] = [2,1,3,3,0,3,3,1,1,0,0,0,6,6,14,10,6,11,16,9,4];
paths[1167] = [2,1,3,3,0,3,3,0,1,0,0,0,6,6,14,10,6,11,17,7,5];
paths[1168] = [4,1,3,3,0,3,2,1,1,0,0,0,6,6,14,10,6,11,18,7,4];
paths[1169] = [4,1,3,3,0,3,2,0,1,0,0,0,6,6,14,10,6,11,19,5,5];
paths[1170] = [4,1,3,3,0,3,3,1,1,0,0,0,6,6,14,10,6,11,19,7,3];
paths[1171] = [4,1,3,3,0,3,3,0,1,0,0,0,6,6,14,10,6,11,20,5,4];
paths[1172] = [0,0,1,0,3,1,2,1,0,0,0,0,6,9,12,2,17,8,5,17,9];
paths[1173] = [0,0,1,1,3,1,2,1,0,0,0,0,6,9,12,2,17,8,5,18,7];
paths[1174] = [1,0,3,3,1,1,2,0,0,0,0,0,6,9,12,2,17,8,22,3,6];
paths[1175] = [1,0,3,3,1,1,3,0,0,0,0,0,6,9,12,2,17,8,23,3,5];
paths[1176] = [2,0,1,0,3,1,2,1,0,0,0,0,6,9,12,3,13,6,5,17,9];
paths[1177] = [2,0,1,1,3,1,2,1,0,0,0,0,6,9,12,3,13,6,5,18,7];
paths[1178] = [4,0,3,3,1,1,2,0,0,0,0,0,6,9,12,3,13,6,22,3,6];
paths[1179] = [4,0,3,3,1,1,3,0,0,0,0,0,6,9,12,3,13,6,23,3,5];
paths[1180] = [2,0,1,0,3,2,2,1,0,0,0,0,6,9,12,4,9,8,5,17,9];
paths[1181] = [2,0,1,1,3,2,2,1,0,0,0,0,6,9,12,4,9,8,5,18,7];
paths[1182] = [4,0,3,3,1,2,2,0,0,0,0,0,6,9,12,4,9,8,22,3,6];
paths[1183] = [4,0,3,3,1,2,3,0,0,0,0,0,6,9,12,4,9,8,23,3,5];
paths[1184] = [2,0,1,0,3,3,2,1,0,0,0,0,6,9,12,5,7,10,5,17,9];
paths[1185] = [2,0,1,1,3,3,2,1,0,0,0,0,6,9,12,5,7,10,5,18,7];
paths[1186] = [4,0,3,3,1,3,2,0,0,0,0,0,6,9,12,5,7,10,22,3,6];
paths[1187] = [4,0,3,3,1,3,3,0,0,0,0,0,6,9,12,5,7,10,23,3,5];
paths[1188] = [2,0,1,0,3,0,2,1,0,0,0,0,6,9,12,5,8,9,5,17,9];
paths[1189] = [2,0,1,1,3,0,2,1,0,0,0,0,6,9,12,5,8,9,5,18,7];
paths[1190] = [4,0,3,3,1,0,2,0,0,0,0,0,6,9,12,5,8,9,22,3,6];
paths[1191] = [4,0,3,3,1,0,3,0,0,0,0,0,6,9,12,5,8,9,23,3,5];
paths[1192] = [2,1,1,0,3,1,0,1,0,0,0,0,6,9,12,8,12,7,5,17,9];
paths[1193] = [2,1,1,1,3,1,0,1,0,0,0,0,6,9,12,8,12,7,5,18,7];
paths[1194] = [4,1,3,3,1,1,0,0,0,0,0,0,6,9,12,8,12,7,22,3,6];
paths[1195] = [4,1,3,3,1,1,1,0,0,0,0,0,6,9,12,8,12,7,23,3,5];
paths[1196] = [2,0,4,0,3,1,2,1,0,0,0,0,6,9,12,8,14,5,5,17,9];
paths[1197] = [2,0,4,1,3,1,2,1,0,0,0,0,6,9,12,8,14,5,5,18,7];
paths[1198] = [4,0,5,3,1,1,2,0,0,0,0,0,6,9,12,8,14,5,22,3,6];
paths[1199] = [4,0,5,3,1,1,3,0,0,0,0,0,6,9,12,8,14,5,23,3,5];
paths[1200] = [2,0,4,0,3,2,2,1,0,0,0,0,6,9,12,9,10,7,5,17,9];
paths[1201] = [2,0,4,1,3,2,2,1,0,0,0,0,6,9,12,9,10,7,5,18,7];
paths[1202] = [4,0,5,3,1,2,2,0,0,0,0,0,6,9,12,9,10,7,22,3,6];
paths[1203] = [4,0,5,3,1,2,3,0,0,0,0,0,6,9,12,9,10,7,23,3,5];
paths[1204] = [2,1,1,0,3,3,0,1,0,0,0,0,6,9,12,10,6,11,5,17,9];
paths[1205] = [2,1,1,1,3,3,0,1,0,0,0,0,6,9,12,10,6,11,5,18,7];
paths[1206] = [4,1,3,3,1,3,0,0,0,0,0,0,6,9,12,10,6,11,22,3,6];
paths[1207] = [4,1,3,3,1,3,1,0,0,0,0,0,6,9,12,10,6,11,23,3,5];
paths[1208] = [0,2,1,0,3,1,4,1,0,0,0,0,6,11,10,2,17,8,5,17,9];
paths[1209] = [0,2,1,1,3,1,4,1,0,0,0,0,6,11,10,2,17,8,5,18,7];
paths[1210] = [0,2,1,0,2,1,4,1,0,0,0,0,6,11,10,2,17,8,6,15,8];
paths[1211] = [0,2,1,1,2,1,4,1,0,0,0,0,6,11,10,2,17,8,6,16,6];
paths[1212] = [0,2,1,0,2,1,4,0,0,0,0,0,6,11,10,2,17,8,7,13,9];
paths[1213] = [0,2,1,1,2,1,4,0,0,0,0,0,6,11,10,2,17,8,7,14,7];
paths[1214] = [0,2,1,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,7,16,5];
paths[1215] = [0,2,1,0,2,1,5,0,0,0,0,0,6,11,10,2,17,8,8,13,8];
paths[1216] = [0,2,1,1,2,1,5,0,0,0,0,0,6,11,10,2,17,8,8,14,6];
paths[1217] = [0,2,0,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,8,19,4];
paths[1218] = [0,2,1,2,2,1,4,1,0,0,0,0,6,11,10,2,17,8,9,13,7];
paths[1219] = [0,2,3,1,2,1,4,1,0,0,0,0,6,11,10,2,17,8,9,14,5];
paths[1220] = [0,2,1,2,2,1,4,0,0,0,0,0,6,11,10,2,17,8,10,11,8];
paths[1221] = [0,2,3,1,2,1,4,0,0,0,0,0,6,11,10,2,17,8,10,12,6];
paths[1222] = [0,2,3,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,10,14,4];
paths[1223] = [0,2,1,2,2,1,5,0,0,0,0,0,6,11,10,2,17,8,11,11,7];
paths[1224] = [0,2,3,1,2,1,5,0,0,0,0,0,6,11,10,2,17,8,11,12,5];
paths[1225] = [1,2,0,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,11,17,3];
paths[1226] = [0,2,1,3,2,1,4,1,0,0,0,0,6,11,10,2,17,8,12,11,6];
paths[1227] = [1,2,3,1,2,1,4,1,0,0,0,0,6,11,10,2,17,8,12,12,4];
paths[1228] = [0,2,1,3,2,1,4,0,0,0,0,0,6,11,10,2,17,8,13,9,7];
paths[1229] = [1,2,3,1,2,1,4,0,0,0,0,0,6,11,10,2,17,8,13,10,5];
paths[1230] = [1,2,3,1,2,1,5,1,0,0,0,0,6,11,10,2,17,8,13,12,3];
paths[1231] = [0,2,1,3,2,1,5,0,0,0,0,0,6,11,10,2,17,8,14,9,6];
paths[1232] = [1,2,3,1,2,1,5,0,0,0,0,0,6,11,10,2,17,8,14,10,4];
paths[1233] = [0,2,3,3,2,1,4,1,0,0,0,0,6,11,10,2,17,8,15,9,5];
paths[1234] = [0,2,3,3,2,1,4,0,0,0,0,0,6,11,10,2,17,8,16,7,6];
paths[1235] = [0,2,3,3,2,1,5,1,0,0,0,0,6,11,10,2,17,8,16,9,4];
paths[1236] = [0,2,3,3,2,1,5,0,0,0,0,0,6,11,10,2,17,8,17,7,5];
paths[1237] = [1,2,3,3,2,1,4,1,0,0,0,0,6,11,10,2,17,8,18,7,4];
paths[1238] = [1,2,3,3,2,1,4,0,0,0,0,0,6,11,10,2,17,8,19,5,5];
paths[1239] = [1,2,3,3,2,1,5,1,0,0,0,0,6,11,10,2,17,8,19,7,3];
paths[1240] = [1,2,3,3,2,1,5,0,0,0,0,0,6,11,10,2,17,8,20,5,4];
paths[1241] = [1,2,3,3,1,1,4,0,0,0,0,0,6,11,10,2,17,8,22,3,6];
paths[1242] = [1,2,3,3,1,1,5,0,0,0,0,0,6,11,10,2,17,8,23,3,5];
paths[1243] = [2,2,1,0,3,1,4,1,0,0,0,0,6,11,10,3,13,6,5,17,9];
paths[1244] = [2,2,1,1,3,1,4,1,0,0,0,0,6,11,10,3,13,6,5,18,7];
paths[1245] = [2,2,1,0,2,1,4,1,0,0,0,0,6,11,10,3,13,6,6,15,8];
paths[1246] = [2,2,1,1,2,1,4,1,0,0,0,0,6,11,10,3,13,6,6,16,6];
paths[1247] = [2,2,1,0,2,1,4,0,0,0,0,0,6,11,10,3,13,6,7,13,9];
paths[1248] = [2,2,1,1,2,1,4,0,0,0,0,0,6,11,10,3,13,6,7,14,7];
paths[1249] = [2,2,1,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,7,16,5];
paths[1250] = [2,2,1,0,2,1,5,0,0,0,0,0,6,11,10,3,13,6,8,13,8];
paths[1251] = [2,2,1,1,2,1,5,0,0,0,0,0,6,11,10,3,13,6,8,14,6];
paths[1252] = [2,2,0,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,8,19,4];
paths[1253] = [2,2,1,2,2,1,4,1,0,0,0,0,6,11,10,3,13,6,9,13,7];
paths[1254] = [2,2,3,1,2,1,4,1,0,0,0,0,6,11,10,3,13,6,9,14,5];
paths[1255] = [2,2,1,2,2,1,4,0,0,0,0,0,6,11,10,3,13,6,10,11,8];
paths[1256] = [2,2,3,1,2,1,4,0,0,0,0,0,6,11,10,3,13,6,10,12,6];
paths[1257] = [2,2,3,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,10,14,4];
paths[1258] = [2,2,1,2,2,1,5,0,0,0,0,0,6,11,10,3,13,6,11,11,7];
paths[1259] = [2,2,3,1,2,1,5,0,0,0,0,0,6,11,10,3,13,6,11,12,5];
paths[1260] = [4,2,0,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,11,17,3];
paths[1261] = [2,2,1,3,2,1,4,1,0,0,0,0,6,11,10,3,13,6,12,11,6];
paths[1262] = [4,2,3,1,2,1,4,1,0,0,0,0,6,11,10,3,13,6,12,12,4];
paths[1263] = [2,2,1,3,2,1,4,0,0,0,0,0,6,11,10,3,13,6,13,9,7];
paths[1264] = [4,2,3,1,2,1,4,0,0,0,0,0,6,11,10,3,13,6,13,10,5];
paths[1265] = [4,2,3,1,2,1,5,1,0,0,0,0,6,11,10,3,13,6,13,12,3];
paths[1266] = [2,2,1,3,2,1,5,0,0,0,0,0,6,11,10,3,13,6,14,9,6];
paths[1267] = [4,2,3,1,2,1,5,0,0,0,0,0,6,11,10,3,13,6,14,10,4];
paths[1268] = [2,2,3,3,2,1,4,1,0,0,0,0,6,11,10,3,13,6,15,9,5];
paths[1269] = [2,2,3,3,2,1,4,0,0,0,0,0,6,11,10,3,13,6,16,7,6];
paths[1270] = [2,2,3,3,2,1,5,1,0,0,0,0,6,11,10,3,13,6,16,9,4];
paths[1271] = [2,2,3,3,2,1,5,0,0,0,0,0,6,11,10,3,13,6,17,7,5];
paths[1272] = [4,2,3,3,2,1,4,1,0,0,0,0,6,11,10,3,13,6,18,7,4];
paths[1273] = [4,2,3,3,2,1,4,0,0,0,0,0,6,11,10,3,13,6,19,5,5];
paths[1274] = [4,2,3,3,2,1,5,1,0,0,0,0,6,11,10,3,13,6,19,7,3];
paths[1275] = [4,2,3,3,2,1,5,0,0,0,0,0,6,11,10,3,13,6,20,5,4];
paths[1276] = [4,2,3,3,1,1,4,0,0,0,0,0,6,11,10,3,13,6,22,3,6];
paths[1277] = [4,2,3,3,1,1,5,0,0,0,0,0,6,11,10,3,13,6,23,3,5];
paths[1278] = [2,2,1,0,3,2,4,1,0,0,0,0,6,11,10,4,9,8,5,17,9];
paths[1279] = [2,2,1,1,3,2,4,1,0,0,0,0,6,11,10,4,9,8,5,18,7];
paths[1280] = [2,2,1,0,2,2,4,1,0,0,0,0,6,11,10,4,9,8,6,15,8];
paths[1281] = [2,2,1,1,2,2,4,1,0,0,0,0,6,11,10,4,9,8,6,16,6];
paths[1282] = [2,2,1,0,2,2,4,0,0,0,0,0,6,11,10,4,9,8,7,13,9];
paths[1283] = [2,2,1,1,2,2,4,0,0,0,0,0,6,11,10,4,9,8,7,14,7];
paths[1284] = [2,2,1,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,7,16,5];
paths[1285] = [2,2,1,0,2,2,5,0,0,0,0,0,6,11,10,4,9,8,8,13,8];
paths[1286] = [2,2,1,1,2,2,5,0,0,0,0,0,6,11,10,4,9,8,8,14,6];
paths[1287] = [2,2,0,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,8,19,4];
paths[1288] = [2,2,1,2,2,2,4,1,0,0,0,0,6,11,10,4,9,8,9,13,7];
paths[1289] = [2,2,3,1,2,2,4,1,0,0,0,0,6,11,10,4,9,8,9,14,5];
paths[1290] = [2,2,1,2,2,2,4,0,0,0,0,0,6,11,10,4,9,8,10,11,8];
paths[1291] = [2,2,3,1,2,2,4,0,0,0,0,0,6,11,10,4,9,8,10,12,6];
paths[1292] = [2,2,3,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,10,14,4];
paths[1293] = [2,2,1,2,2,2,5,0,0,0,0,0,6,11,10,4,9,8,11,11,7];
paths[1294] = [2,2,3,1,2,2,5,0,0,0,0,0,6,11,10,4,9,8,11,12,5];
paths[1295] = [4,2,0,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,11,17,3];
paths[1296] = [2,2,1,3,2,2,4,1,0,0,0,0,6,11,10,4,9,8,12,11,6];
paths[1297] = [4,2,3,1,2,2,4,1,0,0,0,0,6,11,10,4,9,8,12,12,4];
paths[1298] = [2,2,1,3,2,2,4,0,0,0,0,0,6,11,10,4,9,8,13,9,7];
paths[1299] = [4,2,3,1,2,2,4,0,0,0,0,0,6,11,10,4,9,8,13,10,5];
paths[1300] = [4,2,3,1,2,2,5,1,0,0,0,0,6,11,10,4,9,8,13,12,3];
paths[1301] = [2,2,1,3,2,2,5,0,0,0,0,0,6,11,10,4,9,8,14,9,6];
paths[1302] = [4,2,3,1,2,2,5,0,0,0,0,0,6,11,10,4,9,8,14,10,4];
paths[1303] = [2,2,3,3,2,2,4,1,0,0,0,0,6,11,10,4,9,8,15,9,5];
paths[1304] = [2,2,3,3,2,2,4,0,0,0,0,0,6,11,10,4,9,8,16,7,6];
paths[1305] = [2,2,3,3,2,2,5,1,0,0,0,0,6,11,10,4,9,8,16,9,4];
paths[1306] = [2,2,3,3,2,2,5,0,0,0,0,0,6,11,10,4,9,8,17,7,5];
paths[1307] = [4,2,3,3,2,2,4,1,0,0,0,0,6,11,10,4,9,8,18,7,4];
paths[1308] = [4,2,3,3,2,2,4,0,0,0,0,0,6,11,10,4,9,8,19,5,5];
paths[1309] = [4,2,3,3,2,2,5,1,0,0,0,0,6,11,10,4,9,8,19,7,3];
paths[1310] = [4,2,3,3,2,2,5,0,0,0,0,0,6,11,10,4,9,8,20,5,4];
paths[1311] = [4,2,3,3,1,2,4,0,0,0,0,0,6,11,10,4,9,8,22,3,6];
paths[1312] = [4,2,3,3,1,2,5,0,0,0,0,0,6,11,10,4,9,8,23,3,5];
paths[1313] = [2,2,1,0,3,3,4,1,0,0,0,0,6,11,10,5,7,10,5,17,9];
paths[1314] = [2,2,1,1,3,3,4,1,0,0,0,0,6,11,10,5,7,10,5,18,7];
paths[1315] = [2,2,1,0,2,3,4,1,0,0,0,0,6,11,10,5,7,10,6,15,8];
paths[1316] = [2,2,1,1,2,3,4,1,0,0,0,0,6,11,10,5,7,10,6,16,6];
paths[1317] = [2,2,1,0,2,3,4,0,0,0,0,0,6,11,10,5,7,10,7,13,9];
paths[1318] = [2,2,1,1,2,3,4,0,0,0,0,0,6,11,10,5,7,10,7,14,7];
paths[1319] = [2,2,1,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,7,16,5];
paths[1320] = [2,2,1,0,2,3,5,0,0,0,0,0,6,11,10,5,7,10,8,13,8];
paths[1321] = [2,2,1,1,2,3,5,0,0,0,0,0,6,11,10,5,7,10,8,14,6];
paths[1322] = [2,2,0,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,8,19,4];
paths[1323] = [2,2,1,2,2,3,4,1,0,0,0,0,6,11,10,5,7,10,9,13,7];
paths[1324] = [2,2,3,1,2,3,4,1,0,0,0,0,6,11,10,5,7,10,9,14,5];
paths[1325] = [2,2,1,2,2,3,4,0,0,0,0,0,6,11,10,5,7,10,10,11,8];
paths[1326] = [2,2,3,1,2,3,4,0,0,0,0,0,6,11,10,5,7,10,10,12,6];
paths[1327] = [2,2,3,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,10,14,4];
paths[1328] = [2,2,1,2,2,3,5,0,0,0,0,0,6,11,10,5,7,10,11,11,7];
paths[1329] = [2,2,3,1,2,3,5,0,0,0,0,0,6,11,10,5,7,10,11,12,5];
paths[1330] = [4,2,0,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,11,17,3];
paths[1331] = [2,2,1,3,2,3,4,1,0,0,0,0,6,11,10,5,7,10,12,11,6];
paths[1332] = [4,2,3,1,2,3,4,1,0,0,0,0,6,11,10,5,7,10,12,12,4];
paths[1333] = [2,2,1,3,2,3,4,0,0,0,0,0,6,11,10,5,7,10,13,9,7];
paths[1334] = [4,2,3,1,2,3,4,0,0,0,0,0,6,11,10,5,7,10,13,10,5];
paths[1335] = [4,2,3,1,2,3,5,1,0,0,0,0,6,11,10,5,7,10,13,12,3];
paths[1336] = [2,2,1,3,2,3,5,0,0,0,0,0,6,11,10,5,7,10,14,9,6];
paths[1337] = [4,2,3,1,2,3,5,0,0,0,0,0,6,11,10,5,7,10,14,10,4];
paths[1338] = [2,2,3,3,2,3,4,1,0,0,0,0,6,11,10,5,7,10,15,9,5];
paths[1339] = [2,2,3,3,2,3,4,0,0,0,0,0,6,11,10,5,7,10,16,7,6];
paths[1340] = [2,2,3,3,2,3,5,1,0,0,0,0,6,11,10,5,7,10,16,9,4];
paths[1341] = [2,2,3,3,2,3,5,0,0,0,0,0,6,11,10,5,7,10,17,7,5];
paths[1342] = [4,2,3,3,2,3,4,1,0,0,0,0,6,11,10,5,7,10,18,7,4];
paths[1343] = [4,2,3,3,2,3,4,0,0,0,0,0,6,11,10,5,7,10,19,5,5];
paths[1344] = [4,2,3,3,2,3,5,1,0,0,0,0,6,11,10,5,7,10,19,7,3];
paths[1345] = [4,2,3,3,2,3,5,0,0,0,0,0,6,11,10,5,7,10,20,5,4];
paths[1346] = [4,2,3,3,1,3,4,0,0,0,0,0,6,11,10,5,7,10,22,3,6];
paths[1347] = [4,2,3,3,1,3,5,0,0,0,0,0,6,11,10,5,7,10,23,3,5];
paths[1348] = [2,2,1,0,3,0,4,1,0,0,0,0,6,11,10,5,8,9,5,17,9];
paths[1349] = [2,2,1,1,3,0,4,1,0,0,0,0,6,11,10,5,8,9,5,18,7];
paths[1350] = [2,2,1,0,2,0,4,1,0,0,0,0,6,11,10,5,8,9,6,15,8];
paths[1351] = [2,2,1,1,2,0,4,1,0,0,0,0,6,11,10,5,8,9,6,16,6];
paths[1352] = [2,2,1,0,2,0,4,0,0,0,0,0,6,11,10,5,8,9,7,13,9];
paths[1353] = [2,2,1,1,2,0,4,0,0,0,0,0,6,11,10,5,8,9,7,14,7];
paths[1354] = [2,2,1,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,7,16,5];
paths[1355] = [2,2,1,0,2,0,5,0,0,0,0,0,6,11,10,5,8,9,8,13,8];
paths[1356] = [2,2,1,1,2,0,5,0,0,0,0,0,6,11,10,5,8,9,8,14,6];
paths[1357] = [2,2,0,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,8,19,4];
paths[1358] = [2,2,1,2,2,0,4,1,0,0,0,0,6,11,10,5,8,9,9,13,7];
paths[1359] = [2,2,3,1,2,0,4,1,0,0,0,0,6,11,10,5,8,9,9,14,5];
paths[1360] = [2,2,1,2,2,0,4,0,0,0,0,0,6,11,10,5,8,9,10,11,8];
paths[1361] = [2,2,3,1,2,0,4,0,0,0,0,0,6,11,10,5,8,9,10,12,6];
paths[1362] = [2,2,3,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,10,14,4];
paths[1363] = [2,2,1,2,2,0,5,0,0,0,0,0,6,11,10,5,8,9,11,11,7];
paths[1364] = [2,2,3,1,2,0,5,0,0,0,0,0,6,11,10,5,8,9,11,12,5];
paths[1365] = [4,2,0,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,11,17,3];
paths[1366] = [2,2,1,3,2,0,4,1,0,0,0,0,6,11,10,5,8,9,12,11,6];
paths[1367] = [4,2,3,1,2,0,4,1,0,0,0,0,6,11,10,5,8,9,12,12,4];
paths[1368] = [2,2,1,3,2,0,4,0,0,0,0,0,6,11,10,5,8,9,13,9,7];
paths[1369] = [4,2,3,1,2,0,4,0,0,0,0,0,6,11,10,5,8,9,13,10,5];
paths[1370] = [4,2,3,1,2,0,5,1,0,0,0,0,6,11,10,5,8,9,13,12,3];
paths[1371] = [2,2,1,3,2,0,5,0,0,0,0,0,6,11,10,5,8,9,14,9,6];
paths[1372] = [4,2,3,1,2,0,5,0,0,0,0,0,6,11,10,5,8,9,14,10,4];
paths[1373] = [2,2,3,3,2,0,4,1,0,0,0,0,6,11,10,5,8,9,15,9,5];
paths[1374] = [2,2,3,3,2,0,4,0,0,0,0,0,6,11,10,5,8,9,16,7,6];
paths[1375] = [2,2,3,3,2,0,5,1,0,0,0,0,6,11,10,5,8,9,16,9,4];
paths[1376] = [2,2,3,3,2,0,5,0,0,0,0,0,6,11,10,5,8,9,17,7,5];
paths[1377] = [4,2,3,3,2,0,4,1,0,0,0,0,6,11,10,5,8,9,18,7,4];
paths[1378] = [4,2,3,3,2,0,4,0,0,0,0,0,6,11,10,5,8,9,19,5,5];
paths[1379] = [4,2,3,3,2,0,5,1,0,0,0,0,6,11,10,5,8,9,19,7,3];
paths[1380] = [4,2,3,3,2,0,5,0,0,0,0,0,6,11,10,5,8,9,20,5,4];
paths[1381] = [4,2,3,3,1,0,4,0,0,0,0,0,6,11,10,5,8,9,22,3,6];
paths[1382] = [4,2,3,3,1,0,5,0,0,0,0,0,6,11,10,5,8,9,23,3,5];
paths[1383] = [2,1,1,0,3,1,4,1,0,0,0,0,6,11,10,8,12,7,5,17,9];
paths[1384] = [2,1,1,1,3,1,4,1,0,0,0,0,6,11,10,8,12,7,5,18,7];
paths[1385] = [2,1,1,0,2,1,4,1,0,0,0,0,6,11,10,8,12,7,6,15,8];
paths[1386] = [2,1,1,1,2,1,4,1,0,0,0,0,6,11,10,8,12,7,6,16,6];
paths[1387] = [2,1,1,0,2,1,4,0,0,0,0,0,6,11,10,8,12,7,7,13,9];
paths[1388] = [2,1,1,1,2,1,4,0,0,0,0,0,6,11,10,8,12,7,7,14,7];
paths[1389] = [2,1,1,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,7,16,5];
paths[1390] = [2,1,1,0,2,1,5,0,0,0,0,0,6,11,10,8,12,7,8,13,8];
paths[1391] = [2,1,1,1,2,1,5,0,0,0,0,0,6,11,10,8,12,7,8,14,6];
paths[1392] = [2,1,0,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,8,19,4];
paths[1393] = [2,1,1,2,2,1,4,1,0,0,0,0,6,11,10,8,12,7,9,13,7];
paths[1394] = [2,1,3,1,2,1,4,1,0,0,0,0,6,11,10,8,12,7,9,14,5];
paths[1395] = [2,1,1,2,2,1,4,0,0,0,0,0,6,11,10,8,12,7,10,11,8];
paths[1396] = [2,1,3,1,2,1,4,0,0,0,0,0,6,11,10,8,12,7,10,12,6];
paths[1397] = [2,1,3,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,10,14,4];
paths[1398] = [2,1,1,2,2,1,5,0,0,0,0,0,6,11,10,8,12,7,11,11,7];
paths[1399] = [2,1,3,1,2,1,5,0,0,0,0,0,6,11,10,8,12,7,11,12,5];
paths[1400] = [4,1,0,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,11,17,3];
paths[1401] = [2,1,1,3,2,1,4,1,0,0,0,0,6,11,10,8,12,7,12,11,6];
paths[1402] = [4,1,3,1,2,1,4,1,0,0,0,0,6,11,10,8,12,7,12,12,4];
paths[1403] = [2,1,1,3,2,1,4,0,0,0,0,0,6,11,10,8,12,7,13,9,7];
paths[1404] = [4,1,3,1,2,1,4,0,0,0,0,0,6,11,10,8,12,7,13,10,5];
paths[1405] = [4,1,3,1,2,1,5,1,0,0,0,0,6,11,10,8,12,7,13,12,3];
paths[1406] = [2,1,1,3,2,1,5,0,0,0,0,0,6,11,10,8,12,7,14,9,6];
paths[1407] = [4,1,3,1,2,1,5,0,0,0,0,0,6,11,10,8,12,7,14,10,4];
paths[1408] = [2,1,3,3,2,1,4,1,0,0,0,0,6,11,10,8,12,7,15,9,5];
paths[1409] = [2,1,3,3,2,1,4,0,0,0,0,0,6,11,10,8,12,7,16,7,6];
paths[1410] = [2,1,3,3,2,1,5,1,0,0,0,0,6,11,10,8,12,7,16,9,4];
paths[1411] = [2,1,3,3,2,1,5,0,0,0,0,0,6,11,10,8,12,7,17,7,5];
paths[1412] = [4,1,3,3,2,1,4,1,0,0,0,0,6,11,10,8,12,7,18,7,4];
paths[1413] = [4,1,3,3,2,1,4,0,0,0,0,0,6,11,10,8,12,7,19,5,5];
paths[1414] = [4,1,3,3,2,1,5,1,0,0,0,0,6,11,10,8,12,7,19,7,3];
paths[1415] = [4,1,3,3,2,1,5,0,0,0,0,0,6,11,10,8,12,7,20,5,4];
paths[1416] = [4,1,3,3,1,1,4,0,0,0,0,0,6,11,10,8,12,7,22,3,6];
paths[1417] = [4,1,3,3,1,1,5,0,0,0,0,0,6,11,10,8,12,7,23,3,5];
paths[1418] = [2,2,4,0,3,1,4,1,0,0,0,0,6,11,10,8,14,5,5,17,9];
paths[1419] = [2,2,4,1,3,1,4,1,0,0,0,0,6,11,10,8,14,5,5,18,7];
paths[1420] = [2,2,4,0,2,1,4,1,0,0,0,0,6,11,10,8,14,5,6,15,8];
paths[1421] = [2,2,4,1,2,1,4,1,0,0,0,0,6,11,10,8,14,5,6,16,6];
paths[1422] = [2,2,4,0,2,1,4,0,0,0,0,0,6,11,10,8,14,5,7,13,9];
paths[1423] = [2,2,4,1,2,1,4,0,0,0,0,0,6,11,10,8,14,5,7,14,7];
paths[1424] = [2,2,4,1,2,1,5,1,0,0,0,0,6,11,10,8,14,5,7,16,5];
paths[1425] = [2,2,4,0,2,1,5,0,0,0,0,0,6,11,10,8,14,5,8,13,8];
paths[1426] = [2,2,4,1,2,1,5,0,0,0,0,0,6,11,10,8,14,5,8,14,6];
paths[1427] = [2,2,4,2,2,1,4,1,0,0,0,0,6,11,10,8,14,5,9,13,7];
paths[1428] = [2,2,5,1,2,1,4,1,0,0,0,0,6,11,10,8,14,5,9,14,5];
paths[1429] = [2,2,4,2,2,1,4,0,0,0,0,0,6,11,10,8,14,5,10,11,8];
paths[1430] = [2,2,5,1,2,1,4,0,0,0,0,0,6,11,10,8,14,5,10,12,6];
paths[1431] = [2,2,5,1,2,1,5,1,0,0,0,0,6,11,10,8,14,5,10,14,4];
paths[1432] = [2,2,4,2,2,1,5,0,0,0,0,0,6,11,10,8,14,5,11,11,7];
paths[1433] = [2,2,5,1,2,1,5,0,0,0,0,0,6,11,10,8,14,5,11,12,5];
paths[1434] = [2,2,4,3,2,1,4,1,0,0,0,0,6,11,10,8,14,5,12,11,6];
paths[1435] = [4,2,5,1,2,1,4,1,0,0,0,0,6,11,10,8,14,5,12,12,4];
paths[1436] = [2,2,4,3,2,1,4,0,0,0,0,0,6,11,10,8,14,5,13,9,7];
paths[1437] = [4,2,5,1,2,1,4,0,0,0,0,0,6,11,10,8,14,5,13,10,5];
paths[1438] = [4,2,5,1,2,1,5,1,0,0,0,0,6,11,10,8,14,5,13,12,3];
paths[1439] = [2,2,4,3,2,1,5,0,0,0,0,0,6,11,10,8,14,5,14,9,6];
paths[1440] = [4,2,5,1,2,1,5,0,0,0,0,0,6,11,10,8,14,5,14,10,4];
paths[1441] = [2,2,5,3,2,1,4,1,0,0,0,0,6,11,10,8,14,5,15,9,5];
paths[1442] = [2,2,5,3,2,1,4,0,0,0,0,0,6,11,10,8,14,5,16,7,6];
paths[1443] = [2,2,5,3,2,1,5,1,0,0,0,0,6,11,10,8,14,5,16,9,4];
paths[1444] = [2,2,5,3,2,1,5,0,0,0,0,0,6,11,10,8,14,5,17,7,5];
paths[1445] = [4,2,5,3,2,1,4,1,0,0,0,0,6,11,10,8,14,5,18,7,4];
paths[1446] = [4,2,5,3,2,1,4,0,0,0,0,0,6,11,10,8,14,5,19,5,5];
paths[1447] = [4,2,5,3,2,1,5,1,0,0,0,0,6,11,10,8,14,5,19,7,3];
paths[1448] = [4,2,5,3,2,1,5,0,0,0,0,0,6,11,10,8,14,5,20,5,4];
paths[1449] = [4,2,5,3,1,1,4,0,0,0,0,0,6,11,10,8,14,5,22,3,6];
paths[1450] = [4,2,5,3,1,1,5,0,0,0,0,0,6,11,10,8,14,5,23,3,5];
paths[1451] = [2,2,4,0,3,2,4,1,0,0,0,0,6,11,10,9,10,7,5,17,9];
paths[1452] = [2,2,4,1,3,2,4,1,0,0,0,0,6,11,10,9,10,7,5,18,7];
paths[1453] = [2,2,4,0,2,2,4,1,0,0,0,0,6,11,10,9,10,7,6,15,8];
paths[1454] = [2,2,4,1,2,2,4,1,0,0,0,0,6,11,10,9,10,7,6,16,6];
paths[1455] = [2,2,4,0,2,2,4,0,0,0,0,0,6,11,10,9,10,7,7,13,9];
paths[1456] = [2,2,4,1,2,2,4,0,0,0,0,0,6,11,10,9,10,7,7,14,7];
paths[1457] = [2,2,4,1,2,2,5,1,0,0,0,0,6,11,10,9,10,7,7,16,5];
paths[1458] = [2,2,4,0,2,2,5,0,0,0,0,0,6,11,10,9,10,7,8,13,8];
paths[1459] = [2,2,4,1,2,2,5,0,0,0,0,0,6,11,10,9,10,7,8,14,6];
paths[1460] = [2,2,4,2,2,2,4,1,0,0,0,0,6,11,10,9,10,7,9,13,7];
paths[1461] = [2,2,5,1,2,2,4,1,0,0,0,0,6,11,10,9,10,7,9,14,5];
paths[1462] = [2,2,4,2,2,2,4,0,0,0,0,0,6,11,10,9,10,7,10,11,8];
paths[1463] = [2,2,5,1,2,2,4,0,0,0,0,0,6,11,10,9,10,7,10,12,6];
paths[1464] = [2,2,5,1,2,2,5,1,0,0,0,0,6,11,10,9,10,7,10,14,4];
paths[1465] = [2,2,4,2,2,2,5,0,0,0,0,0,6,11,10,9,10,7,11,11,7];
paths[1466] = [2,2,5,1,2,2,5,0,0,0,0,0,6,11,10,9,10,7,11,12,5];
paths[1467] = [2,2,4,3,2,2,4,1,0,0,0,0,6,11,10,9,10,7,12,11,6];
paths[1468] = [4,2,5,1,2,2,4,1,0,0,0,0,6,11,10,9,10,7,12,12,4];
paths[1469] = [2,2,4,3,2,2,4,0,0,0,0,0,6,11,10,9,10,7,13,9,7];
paths[1470] = [4,2,5,1,2,2,4,0,0,0,0,0,6,11,10,9,10,7,13,10,5];
paths[1471] = [4,2,5,1,2,2,5,1,0,0,0,0,6,11,10,9,10,7,13,12,3];
paths[1472] = [2,2,4,3,2,2,5,0,0,0,0,0,6,11,10,9,10,7,14,9,6];
paths[1473] = [4,2,5,1,2,2,5,0,0,0,0,0,6,11,10,9,10,7,14,10,4];
paths[1474] = [2,2,5,3,2,2,4,1,0,0,0,0,6,11,10,9,10,7,15,9,5];
paths[1475] = [2,2,5,3,2,2,4,0,0,0,0,0,6,11,10,9,10,7,16,7,6];
paths[1476] = [2,2,5,3,2,2,5,1,0,0,0,0,6,11,10,9,10,7,16,9,4];
paths[1477] = [2,2,5,3,2,2,5,0,0,0,0,0,6,11,10,9,10,7,17,7,5];
paths[1478] = [4,2,5,3,2,2,4,1,0,0,0,0,6,11,10,9,10,7,18,7,4];
paths[1479] = [4,2,5,3,2,2,4,0,0,0,0,0,6,11,10,9,10,7,19,5,5];
paths[1480] = [4,2,5,3,2,2,5,1,0,0,0,0,6,11,10,9,10,7,19,7,3];
paths[1481] = [4,2,5,3,2,2,5,0,0,0,0,0,6,11,10,9,10,7,20,5,4];
paths[1482] = [4,2,5,3,1,2,4,0,0,0,0,0,6,11,10,9,10,7,22,3,6];
paths[1483] = [4,2,5,3,1,2,5,0,0,0,0,0,6,11,10,9,10,7,23,3,5];
paths[1484] = [2,1,1,0,3,3,4,1,0,0,0,0,6,11,10,10,6,11,5,17,9];
paths[1485] = [2,1,1,1,3,3,4,1,0,0,0,0,6,11,10,10,6,11,5,18,7];
paths[1486] = [2,1,1,0,2,3,4,1,0,0,0,0,6,11,10,10,6,11,6,15,8];
paths[1487] = [2,1,1,1,2,3,4,1,0,0,0,0,6,11,10,10,6,11,6,16,6];
paths[1488] = [2,1,1,0,2,3,4,0,0,0,0,0,6,11,10,10,6,11,7,13,9];
paths[1489] = [2,1,1,1,2,3,4,0,0,0,0,0,6,11,10,10,6,11,7,14,7];
paths[1490] = [2,1,1,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,7,16,5];
paths[1491] = [2,1,1,0,2,3,5,0,0,0,0,0,6,11,10,10,6,11,8,13,8];
paths[1492] = [2,1,1,1,2,3,5,0,0,0,0,0,6,11,10,10,6,11,8,14,6];
paths[1493] = [2,1,0,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,8,19,4];
paths[1494] = [2,1,1,2,2,3,4,1,0,0,0,0,6,11,10,10,6,11,9,13,7];
paths[1495] = [2,1,3,1,2,3,4,1,0,0,0,0,6,11,10,10,6,11,9,14,5];
paths[1496] = [2,1,1,2,2,3,4,0,0,0,0,0,6,11,10,10,6,11,10,11,8];
paths[1497] = [2,1,3,1,2,3,4,0,0,0,0,0,6,11,10,10,6,11,10,12,6];
paths[1498] = [2,1,3,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,10,14,4];
paths[1499] = [2,1,1,2,2,3,5,0,0,0,0,0,6,11,10,10,6,11,11,11,7];
paths[1500] = [2,1,3,1,2,3,5,0,0,0,0,0,6,11,10,10,6,11,11,12,5];
paths[1501] = [4,1,0,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,11,17,3];
paths[1502] = [2,1,1,3,2,3,4,1,0,0,0,0,6,11,10,10,6,11,12,11,6];
paths[1503] = [4,1,3,1,2,3,4,1,0,0,0,0,6,11,10,10,6,11,12,12,4];
paths[1504] = [2,1,1,3,2,3,4,0,0,0,0,0,6,11,10,10,6,11,13,9,7];
paths[1505] = [4,1,3,1,2,3,4,0,0,0,0,0,6,11,10,10,6,11,13,10,5];
paths[1506] = [4,1,3,1,2,3,5,1,0,0,0,0,6,11,10,10,6,11,13,12,3];
paths[1507] = [2,1,1,3,2,3,5,0,0,0,0,0,6,11,10,10,6,11,14,9,6];
paths[1508] = [4,1,3,1,2,3,5,0,0,0,0,0,6,11,10,10,6,11,14,10,4];
paths[1509] = [2,1,3,3,2,3,4,1,0,0,0,0,6,11,10,10,6,11,15,9,5];
paths[1510] = [2,1,3,3,2,3,4,0,0,0,0,0,6,11,10,10,6,11,16,7,6];
paths[1511] = [2,1,3,3,2,3,5,1,0,0,0,0,6,11,10,10,6,11,16,9,4];
paths[1512] = [2,1,3,3,2,3,5,0,0,0,0,0,6,11,10,10,6,11,17,7,5];
paths[1513] = [4,1,3,3,2,3,4,1,0,0,0,0,6,11,10,10,6,11,18,7,4];
paths[1514] = [4,1,3,3,2,3,4,0,0,0,0,0,6,11,10,10,6,11,19,5,5];
paths[1515] = [4,1,3,3,2,3,5,1,0,0,0,0,6,11,10,10,6,11,19,7,3];
paths[1516] = [4,1,3,3,2,3,5,0,0,0,0,0,6,11,10,10,6,11,20,5,4];
paths[1517] = [4,1,3,3,1,3,4,0,0,0,0,0,6,11,10,10,6,11,22,3,6];
paths[1518] = [4,1,3,3,1,3,5,0,0,0,0,0,6,11,10,10,6,11,23,3,5];
paths[1519] = [0,0,1,0,3,1,2,1,1,0,0,0,8,6,14,2,17,8,5,17,9];
paths[1520] = [0,0,1,1,3,1,2,1,1,0,0,0,8,6,14,2,17,8,5,18,7];
paths[1521] = [1,0,3,3,1,1,2,0,1,0,0,0,8,6,14,2,17,8,22,3,6];
paths[1522] = [1,0,3,3,1,1,3,0,1,0,0,0,8,6,14,2,17,8,23,3,5];
paths[1523] = [2,0,1,0,3,1,2,1,1,0,0,0,8,6,14,3,13,6,5,17,9];
paths[1524] = [2,0,1,1,3,1,2,1,1,0,0,0,8,6,14,3,13,6,5,18,7];
paths[1525] = [4,0,3,3,1,1,2,0,1,0,0,0,8,6,14,3,13,6,22,3,6];
paths[1526] = [4,0,3,3,1,1,3,0,1,0,0,0,8,6,14,3,13,6,23,3,5];
paths[1527] = [2,0,1,0,3,2,2,1,1,0,0,0,8,6,14,4,9,8,5,17,9];
paths[1528] = [2,0,1,1,3,2,2,1,1,0,0,0,8,6,14,4,9,8,5,18,7];
paths[1529] = [4,0,3,3,1,2,2,0,1,0,0,0,8,6,14,4,9,8,22,3,6];
paths[1530] = [4,0,3,3,1,2,3,0,1,0,0,0,8,6,14,4,9,8,23,3,5];
paths[1531] = [2,0,1,0,3,3,2,1,1,0,0,0,8,6,14,5,7,10,5,17,9];
paths[1532] = [2,0,1,1,3,3,2,1,1,0,0,0,8,6,14,5,7,10,5,18,7];
paths[1533] = [4,0,3,3,1,3,2,0,1,0,0,0,8,6,14,5,7,10,22,3,6];
paths[1534] = [4,0,3,3,1,3,3,0,1,0,0,0,8,6,14,5,7,10,23,3,5];
paths[1535] = [2,0,1,0,3,0,2,1,1,0,0,0,8,6,14,5,8,9,5,17,9];
paths[1536] = [2,0,1,1,3,0,2,1,1,0,0,0,8,6,14,5,8,9,5,18,7];
paths[1537] = [4,0,3,3,1,0,2,0,1,0,0,0,8,6,14,5,8,9,22,3,6];
paths[1538] = [4,0,3,3,1,0,3,0,1,0,0,0,8,6,14,5,8,9,23,3,5];
paths[1539] = [2,1,1,0,3,1,0,1,1,0,0,0,8,6,14,8,12,7,5,17,9];
paths[1540] = [2,1,1,1,3,1,0,1,1,0,0,0,8,6,14,8,12,7,5,18,7];
paths[1541] = [4,1,3,3,1,1,0,0,1,0,0,0,8,6,14,8,12,7,22,3,6];
paths[1542] = [4,1,3,3,1,1,1,0,1,0,0,0,8,6,14,8,12,7,23,3,5];
paths[1543] = [2,0,4,0,3,1,2,1,1,0,0,0,8,6,14,8,14,5,5,17,9];
paths[1544] = [2,0,4,1,3,1,2,1,1,0,0,0,8,6,14,8,14,5,5,18,7];
paths[1545] = [4,0,5,3,1,1,2,0,1,0,0,0,8,6,14,8,14,5,22,3,6];
paths[1546] = [4,0,5,3,1,1,3,0,1,0,0,0,8,6,14,8,14,5,23,3,5];
paths[1547] = [2,0,4,0,3,2,2,1,1,0,0,0,8,6,14,9,10,7,5,17,9];
paths[1548] = [2,0,4,1,3,2,2,1,1,0,0,0,8,6,14,9,10,7,5,18,7];
paths[1549] = [4,0,5,3,1,2,2,0,1,0,0,0,8,6,14,9,10,7,22,3,6];
paths[1550] = [4,0,5,3,1,2,3,0,1,0,0,0,8,6,14,9,10,7,23,3,5];
paths[1551] = [2,1,1,0,3,3,0,1,1,0,0,0,8,6,14,10,6,11,5,17,9];
paths[1552] = [2,1,1,1,3,3,0,1,1,0,0,0,8,6,14,10,6,11,5,18,7];
paths[1553] = [4,1,3,3,1,3,0,0,1,0,0,0,8,6,14,10,6,11,22,3,6];
paths[1554] = [4,1,3,3,1,3,1,0,1,0,0,0,8,6,14,10,6,11,23,3,5];
paths[1555] = [0,2,1,0,3,1,4,1,1,0,0,0,8,8,12,2,17,8,5,17,9];
paths[1556] = [0,2,1,1,3,1,4,1,1,0,0,0,8,8,12,2,17,8,5,18,7];
paths[1557] = [0,2,1,0,2,1,4,1,1,0,0,0,8,8,12,2,17,8,6,15,8];
paths[1558] = [0,2,1,1,2,1,4,1,1,0,0,0,8,8,12,2,17,8,6,16,6];
paths[1559] = [0,2,1,0,2,1,4,0,1,0,0,0,8,8,12,2,17,8,7,13,9];
paths[1560] = [0,2,1,1,2,1,4,0,1,0,0,0,8,8,12,2,17,8,7,14,7];
paths[1561] = [0,2,1,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,7,16,5];
paths[1562] = [0,2,1,0,2,1,5,0,1,0,0,0,8,8,12,2,17,8,8,13,8];
paths[1563] = [0,2,1,1,2,1,5,0,1,0,0,0,8,8,12,2,17,8,8,14,6];
paths[1564] = [0,2,0,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,8,19,4];
paths[1565] = [0,2,1,2,2,1,4,1,1,0,0,0,8,8,12,2,17,8,9,13,7];
paths[1566] = [0,2,3,1,2,1,4,1,1,0,0,0,8,8,12,2,17,8,9,14,5];
paths[1567] = [0,2,1,2,2,1,4,0,1,0,0,0,8,8,12,2,17,8,10,11,8];
paths[1568] = [0,2,3,1,2,1,4,0,1,0,0,0,8,8,12,2,17,8,10,12,6];
paths[1569] = [0,2,3,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,10,14,4];
paths[1570] = [0,2,1,2,2,1,5,0,1,0,0,0,8,8,12,2,17,8,11,11,7];
paths[1571] = [0,2,3,1,2,1,5,0,1,0,0,0,8,8,12,2,17,8,11,12,5];
paths[1572] = [1,2,0,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,11,17,3];
paths[1573] = [0,2,1,3,2,1,4,1,1,0,0,0,8,8,12,2,17,8,12,11,6];
paths[1574] = [1,2,3,1,2,1,4,1,1,0,0,0,8,8,12,2,17,8,12,12,4];
paths[1575] = [0,2,1,3,2,1,4,0,1,0,0,0,8,8,12,2,17,8,13,9,7];
paths[1576] = [1,2,3,1,2,1,4,0,1,0,0,0,8,8,12,2,17,8,13,10,5];
paths[1577] = [1,2,3,1,2,1,5,1,1,0,0,0,8,8,12,2,17,8,13,12,3];
paths[1578] = [0,2,1,3,2,1,5,0,1,0,0,0,8,8,12,2,17,8,14,9,6];
paths[1579] = [1,2,3,1,2,1,5,0,1,0,0,0,8,8,12,2,17,8,14,10,4];
paths[1580] = [0,2,3,3,2,1,4,1,1,0,0,0,8,8,12,2,17,8,15,9,5];
paths[1581] = [0,2,3,3,2,1,4,0,1,0,0,0,8,8,12,2,17,8,16,7,6];
paths[1582] = [0,2,3,3,2,1,5,1,1,0,0,0,8,8,12,2,17,8,16,9,4];
paths[1583] = [0,2,3,3,2,1,5,0,1,0,0,0,8,8,12,2,17,8,17,7,5];
paths[1584] = [1,2,3,3,2,1,4,1,1,0,0,0,8,8,12,2,17,8,18,7,4];
paths[1585] = [1,2,3,3,2,1,4,0,1,0,0,0,8,8,12,2,17,8,19,5,5];
paths[1586] = [1,2,3,3,2,1,5,1,1,0,0,0,8,8,12,2,17,8,19,7,3];
paths[1587] = [1,2,3,3,2,1,5,0,1,0,0,0,8,8,12,2,17,8,20,5,4];
paths[1588] = [1,2,3,3,1,1,4,0,1,0,0,0,8,8,12,2,17,8,22,3,6];
paths[1589] = [1,2,3,3,1,1,5,0,1,0,0,0,8,8,12,2,17,8,23,3,5];
paths[1590] = [2,2,1,0,3,1,4,1,1,0,0,0,8,8,12,3,13,6,5,17,9];
paths[1591] = [2,2,1,1,3,1,4,1,1,0,0,0,8,8,12,3,13,6,5,18,7];
paths[1592] = [2,2,1,0,2,1,4,1,1,0,0,0,8,8,12,3,13,6,6,15,8];
paths[1593] = [2,2,1,1,2,1,4,1,1,0,0,0,8,8,12,3,13,6,6,16,6];
paths[1594] = [2,2,1,0,2,1,4,0,1,0,0,0,8,8,12,3,13,6,7,13,9];
paths[1595] = [2,2,1,1,2,1,4,0,1,0,0,0,8,8,12,3,13,6,7,14,7];
paths[1596] = [2,2,1,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,7,16,5];
paths[1597] = [2,2,1,0,2,1,5,0,1,0,0,0,8,8,12,3,13,6,8,13,8];
paths[1598] = [2,2,1,1,2,1,5,0,1,0,0,0,8,8,12,3,13,6,8,14,6];
paths[1599] = [2,2,0,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,8,19,4];
paths[1600] = [2,2,1,2,2,1,4,1,1,0,0,0,8,8,12,3,13,6,9,13,7];
paths[1601] = [2,2,3,1,2,1,4,1,1,0,0,0,8,8,12,3,13,6,9,14,5];
paths[1602] = [2,2,1,2,2,1,4,0,1,0,0,0,8,8,12,3,13,6,10,11,8];
paths[1603] = [2,2,3,1,2,1,4,0,1,0,0,0,8,8,12,3,13,6,10,12,6];
paths[1604] = [2,2,3,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,10,14,4];
paths[1605] = [2,2,1,2,2,1,5,0,1,0,0,0,8,8,12,3,13,6,11,11,7];
paths[1606] = [2,2,3,1,2,1,5,0,1,0,0,0,8,8,12,3,13,6,11,12,5];
paths[1607] = [4,2,0,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,11,17,3];
paths[1608] = [2,2,1,3,2,1,4,1,1,0,0,0,8,8,12,3,13,6,12,11,6];
paths[1609] = [4,2,3,1,2,1,4,1,1,0,0,0,8,8,12,3,13,6,12,12,4];
paths[1610] = [2,2,1,3,2,1,4,0,1,0,0,0,8,8,12,3,13,6,13,9,7];
paths[1611] = [4,2,3,1,2,1,4,0,1,0,0,0,8,8,12,3,13,6,13,10,5];
paths[1612] = [4,2,3,1,2,1,5,1,1,0,0,0,8,8,12,3,13,6,13,12,3];
paths[1613] = [2,2,1,3,2,1,5,0,1,0,0,0,8,8,12,3,13,6,14,9,6];
paths[1614] = [4,2,3,1,2,1,5,0,1,0,0,0,8,8,12,3,13,6,14,10,4];
paths[1615] = [2,2,3,3,2,1,4,1,1,0,0,0,8,8,12,3,13,6,15,9,5];
paths[1616] = [2,2,3,3,2,1,4,0,1,0,0,0,8,8,12,3,13,6,16,7,6];
paths[1617] = [2,2,3,3,2,1,5,1,1,0,0,0,8,8,12,3,13,6,16,9,4];
paths[1618] = [2,2,3,3,2,1,5,0,1,0,0,0,8,8,12,3,13,6,17,7,5];
paths[1619] = [4,2,3,3,2,1,4,1,1,0,0,0,8,8,12,3,13,6,18,7,4];
paths[1620] = [4,2,3,3,2,1,4,0,1,0,0,0,8,8,12,3,13,6,19,5,5];
paths[1621] = [4,2,3,3,2,1,5,1,1,0,0,0,8,8,12,3,13,6,19,7,3];
paths[1622] = [4,2,3,3,2,1,5,0,1,0,0,0,8,8,12,3,13,6,20,5,4];
paths[1623] = [4,2,3,3,1,1,4,0,1,0,0,0,8,8,12,3,13,6,22,3,6];
paths[1624] = [4,2,3,3,1,1,5,0,1,0,0,0,8,8,12,3,13,6,23,3,5];
paths[1625] = [2,2,1,0,3,2,4,1,1,0,0,0,8,8,12,4,9,8,5,17,9];
paths[1626] = [2,2,1,1,3,2,4,1,1,0,0,0,8,8,12,4,9,8,5,18,7];
paths[1627] = [2,2,1,0,2,2,4,1,1,0,0,0,8,8,12,4,9,8,6,15,8];
paths[1628] = [2,2,1,1,2,2,4,1,1,0,0,0,8,8,12,4,9,8,6,16,6];
paths[1629] = [2,2,1,0,2,2,4,0,1,0,0,0,8,8,12,4,9,8,7,13,9];
paths[1630] = [2,2,1,1,2,2,4,0,1,0,0,0,8,8,12,4,9,8,7,14,7];
paths[1631] = [2,2,1,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,7,16,5];
paths[1632] = [2,2,1,0,2,2,5,0,1,0,0,0,8,8,12,4,9,8,8,13,8];
paths[1633] = [2,2,1,1,2,2,5,0,1,0,0,0,8,8,12,4,9,8,8,14,6];
paths[1634] = [2,2,0,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,8,19,4];
paths[1635] = [2,2,1,2,2,2,4,1,1,0,0,0,8,8,12,4,9,8,9,13,7];
paths[1636] = [2,2,3,1,2,2,4,1,1,0,0,0,8,8,12,4,9,8,9,14,5];
paths[1637] = [2,2,1,2,2,2,4,0,1,0,0,0,8,8,12,4,9,8,10,11,8];
paths[1638] = [2,2,3,1,2,2,4,0,1,0,0,0,8,8,12,4,9,8,10,12,6];
paths[1639] = [2,2,3,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,10,14,4];
paths[1640] = [2,2,1,2,2,2,5,0,1,0,0,0,8,8,12,4,9,8,11,11,7];
paths[1641] = [2,2,3,1,2,2,5,0,1,0,0,0,8,8,12,4,9,8,11,12,5];
paths[1642] = [4,2,0,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,11,17,3];
paths[1643] = [2,2,1,3,2,2,4,1,1,0,0,0,8,8,12,4,9,8,12,11,6];
paths[1644] = [4,2,3,1,2,2,4,1,1,0,0,0,8,8,12,4,9,8,12,12,4];
paths[1645] = [2,2,1,3,2,2,4,0,1,0,0,0,8,8,12,4,9,8,13,9,7];
paths[1646] = [4,2,3,1,2,2,4,0,1,0,0,0,8,8,12,4,9,8,13,10,5];
paths[1647] = [4,2,3,1,2,2,5,1,1,0,0,0,8,8,12,4,9,8,13,12,3];
paths[1648] = [2,2,1,3,2,2,5,0,1,0,0,0,8,8,12,4,9,8,14,9,6];
paths[1649] = [4,2,3,1,2,2,5,0,1,0,0,0,8,8,12,4,9,8,14,10,4];
paths[1650] = [2,2,3,3,2,2,4,1,1,0,0,0,8,8,12,4,9,8,15,9,5];
paths[1651] = [2,2,3,3,2,2,4,0,1,0,0,0,8,8,12,4,9,8,16,7,6];
paths[1652] = [2,2,3,3,2,2,5,1,1,0,0,0,8,8,12,4,9,8,16,9,4];
paths[1653] = [2,2,3,3,2,2,5,0,1,0,0,0,8,8,12,4,9,8,17,7,5];
paths[1654] = [4,2,3,3,2,2,4,1,1,0,0,0,8,8,12,4,9,8,18,7,4];
paths[1655] = [4,2,3,3,2,2,4,0,1,0,0,0,8,8,12,4,9,8,19,5,5];
paths[1656] = [4,2,3,3,2,2,5,1,1,0,0,0,8,8,12,4,9,8,19,7,3];
paths[1657] = [4,2,3,3,2,2,5,0,1,0,0,0,8,8,12,4,9,8,20,5,4];
paths[1658] = [4,2,3,3,1,2,4,0,1,0,0,0,8,8,12,4,9,8,22,3,6];
paths[1659] = [4,2,3,3,1,2,5,0,1,0,0,0,8,8,12,4,9,8,23,3,5];
paths[1660] = [2,2,1,0,3,3,4,1,1,0,0,0,8,8,12,5,7,10,5,17,9];
paths[1661] = [2,2,1,1,3,3,4,1,1,0,0,0,8,8,12,5,7,10,5,18,7];
paths[1662] = [2,2,1,0,2,3,4,1,1,0,0,0,8,8,12,5,7,10,6,15,8];
paths[1663] = [2,2,1,1,2,3,4,1,1,0,0,0,8,8,12,5,7,10,6,16,6];
paths[1664] = [2,2,1,0,2,3,4,0,1,0,0,0,8,8,12,5,7,10,7,13,9];
paths[1665] = [2,2,1,1,2,3,4,0,1,0,0,0,8,8,12,5,7,10,7,14,7];
paths[1666] = [2,2,1,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,7,16,5];
paths[1667] = [2,2,1,0,2,3,5,0,1,0,0,0,8,8,12,5,7,10,8,13,8];
paths[1668] = [2,2,1,1,2,3,5,0,1,0,0,0,8,8,12,5,7,10,8,14,6];
paths[1669] = [2,2,0,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,8,19,4];
paths[1670] = [2,2,1,2,2,3,4,1,1,0,0,0,8,8,12,5,7,10,9,13,7];
paths[1671] = [2,2,3,1,2,3,4,1,1,0,0,0,8,8,12,5,7,10,9,14,5];
paths[1672] = [2,2,1,2,2,3,4,0,1,0,0,0,8,8,12,5,7,10,10,11,8];
paths[1673] = [2,2,3,1,2,3,4,0,1,0,0,0,8,8,12,5,7,10,10,12,6];
paths[1674] = [2,2,3,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,10,14,4];
paths[1675] = [2,2,1,2,2,3,5,0,1,0,0,0,8,8,12,5,7,10,11,11,7];
paths[1676] = [2,2,3,1,2,3,5,0,1,0,0,0,8,8,12,5,7,10,11,12,5];
paths[1677] = [4,2,0,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,11,17,3];
paths[1678] = [2,2,1,3,2,3,4,1,1,0,0,0,8,8,12,5,7,10,12,11,6];
paths[1679] = [4,2,3,1,2,3,4,1,1,0,0,0,8,8,12,5,7,10,12,12,4];
paths[1680] = [2,2,1,3,2,3,4,0,1,0,0,0,8,8,12,5,7,10,13,9,7];
paths[1681] = [4,2,3,1,2,3,4,0,1,0,0,0,8,8,12,5,7,10,13,10,5];
paths[1682] = [4,2,3,1,2,3,5,1,1,0,0,0,8,8,12,5,7,10,13,12,3];
paths[1683] = [2,2,1,3,2,3,5,0,1,0,0,0,8,8,12,5,7,10,14,9,6];
paths[1684] = [4,2,3,1,2,3,5,0,1,0,0,0,8,8,12,5,7,10,14,10,4];
paths[1685] = [2,2,3,3,2,3,4,1,1,0,0,0,8,8,12,5,7,10,15,9,5];
paths[1686] = [2,2,3,3,2,3,4,0,1,0,0,0,8,8,12,5,7,10,16,7,6];
paths[1687] = [2,2,3,3,2,3,5,1,1,0,0,0,8,8,12,5,7,10,16,9,4];
paths[1688] = [2,2,3,3,2,3,5,0,1,0,0,0,8,8,12,5,7,10,17,7,5];
paths[1689] = [4,2,3,3,2,3,4,1,1,0,0,0,8,8,12,5,7,10,18,7,4];
paths[1690] = [4,2,3,3,2,3,4,0,1,0,0,0,8,8,12,5,7,10,19,5,5];
paths[1691] = [4,2,3,3,2,3,5,1,1,0,0,0,8,8,12,5,7,10,19,7,3];
paths[1692] = [4,2,3,3,2,3,5,0,1,0,0,0,8,8,12,5,7,10,20,5,4];
paths[1693] = [4,2,3,3,1,3,4,0,1,0,0,0,8,8,12,5,7,10,22,3,6];
paths[1694] = [4,2,3,3,1,3,5,0,1,0,0,0,8,8,12,5,7,10,23,3,5];
paths[1695] = [2,2,1,0,3,0,4,1,1,0,0,0,8,8,12,5,8,9,5,17,9];
paths[1696] = [2,2,1,1,3,0,4,1,1,0,0,0,8,8,12,5,8,9,5,18,7];
paths[1697] = [2,2,1,0,2,0,4,1,1,0,0,0,8,8,12,5,8,9,6,15,8];
paths[1698] = [2,2,1,1,2,0,4,1,1,0,0,0,8,8,12,5,8,9,6,16,6];
paths[1699] = [2,2,1,0,2,0,4,0,1,0,0,0,8,8,12,5,8,9,7,13,9];
paths[1700] = [2,2,1,1,2,0,4,0,1,0,0,0,8,8,12,5,8,9,7,14,7];
paths[1701] = [2,2,1,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,7,16,5];
paths[1702] = [2,2,1,0,2,0,5,0,1,0,0,0,8,8,12,5,8,9,8,13,8];
paths[1703] = [2,2,1,1,2,0,5,0,1,0,0,0,8,8,12,5,8,9,8,14,6];
paths[1704] = [2,2,0,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,8,19,4];
paths[1705] = [2,2,1,2,2,0,4,1,1,0,0,0,8,8,12,5,8,9,9,13,7];
paths[1706] = [2,2,3,1,2,0,4,1,1,0,0,0,8,8,12,5,8,9,9,14,5];
paths[1707] = [2,2,1,2,2,0,4,0,1,0,0,0,8,8,12,5,8,9,10,11,8];
paths[1708] = [2,2,3,1,2,0,4,0,1,0,0,0,8,8,12,5,8,9,10,12,6];
paths[1709] = [2,2,3,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,10,14,4];
paths[1710] = [2,2,1,2,2,0,5,0,1,0,0,0,8,8,12,5,8,9,11,11,7];
paths[1711] = [2,2,3,1,2,0,5,0,1,0,0,0,8,8,12,5,8,9,11,12,5];
paths[1712] = [4,2,0,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,11,17,3];
paths[1713] = [2,2,1,3,2,0,4,1,1,0,0,0,8,8,12,5,8,9,12,11,6];
paths[1714] = [4,2,3,1,2,0,4,1,1,0,0,0,8,8,12,5,8,9,12,12,4];
paths[1715] = [2,2,1,3,2,0,4,0,1,0,0,0,8,8,12,5,8,9,13,9,7];
paths[1716] = [4,2,3,1,2,0,4,0,1,0,0,0,8,8,12,5,8,9,13,10,5];
paths[1717] = [4,2,3,1,2,0,5,1,1,0,0,0,8,8,12,5,8,9,13,12,3];
paths[1718] = [2,2,1,3,2,0,5,0,1,0,0,0,8,8,12,5,8,9,14,9,6];
paths[1719] = [4,2,3,1,2,0,5,0,1,0,0,0,8,8,12,5,8,9,14,10,4];
paths[1720] = [2,2,3,3,2,0,4,1,1,0,0,0,8,8,12,5,8,9,15,9,5];
paths[1721] = [2,2,3,3,2,0,4,0,1,0,0,0,8,8,12,5,8,9,16,7,6];
paths[1722] = [2,2,3,3,2,0,5,1,1,0,0,0,8,8,12,5,8,9,16,9,4];
paths[1723] = [2,2,3,3,2,0,5,0,1,0,0,0,8,8,12,5,8,9,17,7,5];
paths[1724] = [4,2,3,3,2,0,4,1,1,0,0,0,8,8,12,5,8,9,18,7,4];
paths[1725] = [4,2,3,3,2,0,4,0,1,0,0,0,8,8,12,5,8,9,19,5,5];
paths[1726] = [4,2,3,3,2,0,5,1,1,0,0,0,8,8,12,5,8,9,19,7,3];
paths[1727] = [4,2,3,3,2,0,5,0,1,0,0,0,8,8,12,5,8,9,20,5,4];
paths[1728] = [4,2,3,3,1,0,4,0,1,0,0,0,8,8,12,5,8,9,22,3,6];
paths[1729] = [4,2,3,3,1,0,5,0,1,0,0,0,8,8,12,5,8,9,23,3,5];
paths[1730] = [2,1,1,0,3,1,4,1,1,0,0,0,8,8,12,8,12,7,5,17,9];
paths[1731] = [2,1,1,1,3,1,4,1,1,0,0,0,8,8,12,8,12,7,5,18,7];
paths[1732] = [2,1,1,0,2,1,4,1,1,0,0,0,8,8,12,8,12,7,6,15,8];
paths[1733] = [2,1,1,1,2,1,4,1,1,0,0,0,8,8,12,8,12,7,6,16,6];
paths[1734] = [2,1,1,0,2,1,4,0,1,0,0,0,8,8,12,8,12,7,7,13,9];
paths[1735] = [2,1,1,1,2,1,4,0,1,0,0,0,8,8,12,8,12,7,7,14,7];
paths[1736] = [2,1,1,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,7,16,5];
paths[1737] = [2,1,1,0,2,1,5,0,1,0,0,0,8,8,12,8,12,7,8,13,8];
paths[1738] = [2,1,1,1,2,1,5,0,1,0,0,0,8,8,12,8,12,7,8,14,6];
paths[1739] = [2,1,0,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,8,19,4];
paths[1740] = [2,1,1,2,2,1,4,1,1,0,0,0,8,8,12,8,12,7,9,13,7];
paths[1741] = [2,1,3,1,2,1,4,1,1,0,0,0,8,8,12,8,12,7,9,14,5];
paths[1742] = [2,1,1,2,2,1,4,0,1,0,0,0,8,8,12,8,12,7,10,11,8];
paths[1743] = [2,1,3,1,2,1,4,0,1,0,0,0,8,8,12,8,12,7,10,12,6];
paths[1744] = [2,1,3,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,10,14,4];
paths[1745] = [2,1,1,2,2,1,5,0,1,0,0,0,8,8,12,8,12,7,11,11,7];
paths[1746] = [2,1,3,1,2,1,5,0,1,0,0,0,8,8,12,8,12,7,11,12,5];
paths[1747] = [4,1,0,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,11,17,3];
paths[1748] = [2,1,1,3,2,1,4,1,1,0,0,0,8,8,12,8,12,7,12,11,6];
paths[1749] = [4,1,3,1,2,1,4,1,1,0,0,0,8,8,12,8,12,7,12,12,4];
paths[1750] = [2,1,1,3,2,1,4,0,1,0,0,0,8,8,12,8,12,7,13,9,7];
paths[1751] = [4,1,3,1,2,1,4,0,1,0,0,0,8,8,12,8,12,7,13,10,5];
paths[1752] = [4,1,3,1,2,1,5,1,1,0,0,0,8,8,12,8,12,7,13,12,3];
paths[1753] = [2,1,1,3,2,1,5,0,1,0,0,0,8,8,12,8,12,7,14,9,6];
paths[1754] = [4,1,3,1,2,1,5,0,1,0,0,0,8,8,12,8,12,7,14,10,4];
paths[1755] = [2,1,3,3,2,1,4,1,1,0,0,0,8,8,12,8,12,7,15,9,5];
paths[1756] = [2,1,3,3,2,1,4,0,1,0,0,0,8,8,12,8,12,7,16,7,6];
paths[1757] = [2,1,3,3,2,1,5,1,1,0,0,0,8,8,12,8,12,7,16,9,4];
paths[1758] = [2,1,3,3,2,1,5,0,1,0,0,0,8,8,12,8,12,7,17,7,5];
paths[1759] = [4,1,3,3,2,1,4,1,1,0,0,0,8,8,12,8,12,7,18,7,4];
paths[1760] = [4,1,3,3,2,1,4,0,1,0,0,0,8,8,12,8,12,7,19,5,5];
paths[1761] = [4,1,3,3,2,1,5,1,1,0,0,0,8,8,12,8,12,7,19,7,3];
paths[1762] = [4,1,3,3,2,1,5,0,1,0,0,0,8,8,12,8,12,7,20,5,4];
paths[1763] = [4,1,3,3,1,1,4,0,1,0,0,0,8,8,12,8,12,7,22,3,6];
paths[1764] = [4,1,3,3,1,1,5,0,1,0,0,0,8,8,12,8,12,7,23,3,5];
paths[1765] = [2,2,4,0,3,1,4,1,1,0,0,0,8,8,12,8,14,5,5,17,9];
paths[1766] = [2,2,4,1,3,1,4,1,1,0,0,0,8,8,12,8,14,5,5,18,7];
paths[1767] = [2,2,4,0,2,1,4,1,1,0,0,0,8,8,12,8,14,5,6,15,8];
paths[1768] = [2,2,4,1,2,1,4,1,1,0,0,0,8,8,12,8,14,5,6,16,6];
paths[1769] = [2,2,4,0,2,1,4,0,1,0,0,0,8,8,12,8,14,5,7,13,9];
paths[1770] = [2,2,4,1,2,1,4,0,1,0,0,0,8,8,12,8,14,5,7,14,7];
paths[1771] = [2,2,4,1,2,1,5,1,1,0,0,0,8,8,12,8,14,5,7,16,5];
paths[1772] = [2,2,4,0,2,1,5,0,1,0,0,0,8,8,12,8,14,5,8,13,8];
paths[1773] = [2,2,4,1,2,1,5,0,1,0,0,0,8,8,12,8,14,5,8,14,6];
paths[1774] = [2,2,4,2,2,1,4,1,1,0,0,0,8,8,12,8,14,5,9,13,7];
paths[1775] = [2,2,5,1,2,1,4,1,1,0,0,0,8,8,12,8,14,5,9,14,5];
paths[1776] = [2,2,4,2,2,1,4,0,1,0,0,0,8,8,12,8,14,5,10,11,8];
paths[1777] = [2,2,5,1,2,1,4,0,1,0,0,0,8,8,12,8,14,5,10,12,6];
paths[1778] = [2,2,5,1,2,1,5,1,1,0,0,0,8,8,12,8,14,5,10,14,4];
paths[1779] = [2,2,4,2,2,1,5,0,1,0,0,0,8,8,12,8,14,5,11,11,7];
paths[1780] = [2,2,5,1,2,1,5,0,1,0,0,0,8,8,12,8,14,5,11,12,5];
paths[1781] = [2,2,4,3,2,1,4,1,1,0,0,0,8,8,12,8,14,5,12,11,6];
paths[1782] = [4,2,5,1,2,1,4,1,1,0,0,0,8,8,12,8,14,5,12,12,4];
paths[1783] = [2,2,4,3,2,1,4,0,1,0,0,0,8,8,12,8,14,5,13,9,7];
paths[1784] = [4,2,5,1,2,1,4,0,1,0,0,0,8,8,12,8,14,5,13,10,5];
paths[1785] = [4,2,5,1,2,1,5,1,1,0,0,0,8,8,12,8,14,5,13,12,3];
paths[1786] = [2,2,4,3,2,1,5,0,1,0,0,0,8,8,12,8,14,5,14,9,6];
paths[1787] = [4,2,5,1,2,1,5,0,1,0,0,0,8,8,12,8,14,5,14,10,4];
paths[1788] = [2,2,5,3,2,1,4,1,1,0,0,0,8,8,12,8,14,5,15,9,5];
paths[1789] = [2,2,5,3,2,1,4,0,1,0,0,0,8,8,12,8,14,5,16,7,6];
paths[1790] = [2,2,5,3,2,1,5,1,1,0,0,0,8,8,12,8,14,5,16,9,4];
paths[1791] = [2,2,5,3,2,1,5,0,1,0,0,0,8,8,12,8,14,5,17,7,5];
paths[1792] = [4,2,5,3,2,1,4,1,1,0,0,0,8,8,12,8,14,5,18,7,4];
paths[1793] = [4,2,5,3,2,1,4,0,1,0,0,0,8,8,12,8,14,5,19,5,5];
paths[1794] = [4,2,5,3,2,1,5,1,1,0,0,0,8,8,12,8,14,5,19,7,3];
paths[1795] = [4,2,5,3,2,1,5,0,1,0,0,0,8,8,12,8,14,5,20,5,4];
paths[1796] = [4,2,5,3,1,1,4,0,1,0,0,0,8,8,12,8,14,5,22,3,6];
paths[1797] = [4,2,5,3,1,1,5,0,1,0,0,0,8,8,12,8,14,5,23,3,5];
paths[1798] = [2,2,4,0,3,2,4,1,1,0,0,0,8,8,12,9,10,7,5,17,9];
paths[1799] = [2,2,4,1,3,2,4,1,1,0,0,0,8,8,12,9,10,7,5,18,7];
paths[1800] = [2,2,4,0,2,2,4,1,1,0,0,0,8,8,12,9,10,7,6,15,8];
paths[1801] = [2,2,4,1,2,2,4,1,1,0,0,0,8,8,12,9,10,7,6,16,6];
paths[1802] = [2,2,4,0,2,2,4,0,1,0,0,0,8,8,12,9,10,7,7,13,9];
paths[1803] = [2,2,4,1,2,2,4,0,1,0,0,0,8,8,12,9,10,7,7,14,7];
paths[1804] = [2,2,4,1,2,2,5,1,1,0,0,0,8,8,12,9,10,7,7,16,5];
paths[1805] = [2,2,4,0,2,2,5,0,1,0,0,0,8,8,12,9,10,7,8,13,8];
paths[1806] = [2,2,4,1,2,2,5,0,1,0,0,0,8,8,12,9,10,7,8,14,6];
paths[1807] = [2,2,4,2,2,2,4,1,1,0,0,0,8,8,12,9,10,7,9,13,7];
paths[1808] = [2,2,5,1,2,2,4,1,1,0,0,0,8,8,12,9,10,7,9,14,5];
paths[1809] = [2,2,4,2,2,2,4,0,1,0,0,0,8,8,12,9,10,7,10,11,8];
paths[1810] = [2,2,5,1,2,2,4,0,1,0,0,0,8,8,12,9,10,7,10,12,6];
paths[1811] = [2,2,5,1,2,2,5,1,1,0,0,0,8,8,12,9,10,7,10,14,4];
paths[1812] = [2,2,4,2,2,2,5,0,1,0,0,0,8,8,12,9,10,7,11,11,7];
paths[1813] = [2,2,5,1,2,2,5,0,1,0,0,0,8,8,12,9,10,7,11,12,5];
paths[1814] = [2,2,4,3,2,2,4,1,1,0,0,0,8,8,12,9,10,7,12,11,6];
paths[1815] = [4,2,5,1,2,2,4,1,1,0,0,0,8,8,12,9,10,7,12,12,4];
paths[1816] = [2,2,4,3,2,2,4,0,1,0,0,0,8,8,12,9,10,7,13,9,7];
paths[1817] = [4,2,5,1,2,2,4,0,1,0,0,0,8,8,12,9,10,7,13,10,5];
paths[1818] = [4,2,5,1,2,2,5,1,1,0,0,0,8,8,12,9,10,7,13,12,3];
paths[1819] = [2,2,4,3,2,2,5,0,1,0,0,0,8,8,12,9,10,7,14,9,6];
paths[1820] = [4,2,5,1,2,2,5,0,1,0,0,0,8,8,12,9,10,7,14,10,4];
paths[1821] = [2,2,5,3,2,2,4,1,1,0,0,0,8,8,12,9,10,7,15,9,5];
paths[1822] = [2,2,5,3,2,2,4,0,1,0,0,0,8,8,12,9,10,7,16,7,6];
paths[1823] = [2,2,5,3,2,2,5,1,1,0,0,0,8,8,12,9,10,7,16,9,4];
paths[1824] = [2,2,5,3,2,2,5,0,1,0,0,0,8,8,12,9,10,7,17,7,5];
paths[1825] = [4,2,5,3,2,2,4,1,1,0,0,0,8,8,12,9,10,7,18,7,4];
paths[1826] = [4,2,5,3,2,2,4,0,1,0,0,0,8,8,12,9,10,7,19,5,5];
paths[1827] = [4,2,5,3,2,2,5,1,1,0,0,0,8,8,12,9,10,7,19,7,3];
paths[1828] = [4,2,5,3,2,2,5,0,1,0,0,0,8,8,12,9,10,7,20,5,4];
paths[1829] = [4,2,5,3,1,2,4,0,1,0,0,0,8,8,12,9,10,7,22,3,6];
paths[1830] = [4,2,5,3,1,2,5,0,1,0,0,0,8,8,12,9,10,7,23,3,5];
paths[1831] = [2,1,1,0,3,3,4,1,1,0,0,0,8,8,12,10,6,11,5,17,9];
paths[1832] = [2,1,1,1,3,3,4,1,1,0,0,0,8,8,12,10,6,11,5,18,7];
paths[1833] = [2,1,1,0,2,3,4,1,1,0,0,0,8,8,12,10,6,11,6,15,8];
paths[1834] = [2,1,1,1,2,3,4,1,1,0,0,0,8,8,12,10,6,11,6,16,6];
paths[1835] = [2,1,1,0,2,3,4,0,1,0,0,0,8,8,12,10,6,11,7,13,9];
paths[1836] = [2,1,1,1,2,3,4,0,1,0,0,0,8,8,12,10,6,11,7,14,7];
paths[1837] = [2,1,1,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,7,16,5];
paths[1838] = [2,1,1,0,2,3,5,0,1,0,0,0,8,8,12,10,6,11,8,13,8];
paths[1839] = [2,1,1,1,2,3,5,0,1,0,0,0,8,8,12,10,6,11,8,14,6];
paths[1840] = [2,1,0,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,8,19,4];
paths[1841] = [2,1,1,2,2,3,4,1,1,0,0,0,8,8,12,10,6,11,9,13,7];
paths[1842] = [2,1,3,1,2,3,4,1,1,0,0,0,8,8,12,10,6,11,9,14,5];
paths[1843] = [2,1,1,2,2,3,4,0,1,0,0,0,8,8,12,10,6,11,10,11,8];
paths[1844] = [2,1,3,1,2,3,4,0,1,0,0,0,8,8,12,10,6,11,10,12,6];
paths[1845] = [2,1,3,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,10,14,4];
paths[1846] = [2,1,1,2,2,3,5,0,1,0,0,0,8,8,12,10,6,11,11,11,7];
paths[1847] = [2,1,3,1,2,3,5,0,1,0,0,0,8,8,12,10,6,11,11,12,5];
paths[1848] = [4,1,0,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,11,17,3];
paths[1849] = [2,1,1,3,2,3,4,1,1,0,0,0,8,8,12,10,6,11,12,11,6];
paths[1850] = [4,1,3,1,2,3,4,1,1,0,0,0,8,8,12,10,6,11,12,12,4];
paths[1851] = [2,1,1,3,2,3,4,0,1,0,0,0,8,8,12,10,6,11,13,9,7];
paths[1852] = [4,1,3,1,2,3,4,0,1,0,0,0,8,8,12,10,6,11,13,10,5];
paths[1853] = [4,1,3,1,2,3,5,1,1,0,0,0,8,8,12,10,6,11,13,12,3];
paths[1854] = [2,1,1,3,2,3,5,0,1,0,0,0,8,8,12,10,6,11,14,9,6];
paths[1855] = [4,1,3,1,2,3,5,0,1,0,0,0,8,8,12,10,6,11,14,10,4];
paths[1856] = [2,1,3,3,2,3,4,1,1,0,0,0,8,8,12,10,6,11,15,9,5];
paths[1857] = [2,1,3,3,2,3,4,0,1,0,0,0,8,8,12,10,6,11,16,7,6];
paths[1858] = [2,1,3,3,2,3,5,1,1,0,0,0,8,8,12,10,6,11,16,9,4];
paths[1859] = [2,1,3,3,2,3,5,0,1,0,0,0,8,8,12,10,6,11,17,7,5];
paths[1860] = [4,1,3,3,2,3,4,1,1,0,0,0,8,8,12,10,6,11,18,7,4];
paths[1861] = [4,1,3,3,2,3,4,0,1,0,0,0,8,8,12,10,6,11,19,5,5];
paths[1862] = [4,1,3,3,2,3,5,1,1,0,0,0,8,8,12,10,6,11,19,7,3];
paths[1863] = [4,1,3,3,2,3,5,0,1,0,0,0,8,8,12,10,6,11,20,5,4];
paths[1864] = [4,1,3,3,1,3,4,0,1,0,0,0,8,8,12,10,6,11,22,3,6];
paths[1865] = [4,1,3,3,1,3,5,0,1,0,0,0,8,8,12,10,6,11,23,3,5];
paths[1866] = [0,0,1,0,0,1,2,1,1,0,0,0,9,5,15,2,17,8,6,15,8];
paths[1867] = [0,0,1,1,0,1,2,1,1,0,0,0,9,5,15,2,17,8,6,16,6];
paths[1868] = [0,0,1,0,0,1,2,0,1,0,0,0,9,5,15,2,17,8,7,13,9];
paths[1869] = [0,0,1,1,0,1,2,0,1,0,0,0,9,5,15,2,17,8,7,14,7];
paths[1870] = [0,0,1,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,7,16,5];
paths[1871] = [0,0,1,0,0,1,3,0,1,0,0,0,9,5,15,2,17,8,8,13,8];
paths[1872] = [0,0,1,1,0,1,3,0,1,0,0,0,9,5,15,2,17,8,8,14,6];
paths[1873] = [0,0,0,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,8,19,4];
paths[1874] = [0,0,1,2,0,1,2,1,1,0,0,0,9,5,15,2,17,8,9,13,7];
paths[1875] = [0,0,3,1,0,1,2,1,1,0,0,0,9,5,15,2,17,8,9,14,5];
paths[1876] = [0,0,1,2,0,1,2,0,1,0,0,0,9,5,15,2,17,8,10,11,8];
paths[1877] = [0,0,3,1,0,1,2,0,1,0,0,0,9,5,15,2,17,8,10,12,6];
paths[1878] = [0,0,3,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,10,14,4];
paths[1879] = [0,0,1,2,0,1,3,0,1,0,0,0,9,5,15,2,17,8,11,11,7];
paths[1880] = [0,0,3,1,0,1,3,0,1,0,0,0,9,5,15,2,17,8,11,12,5];
paths[1881] = [1,0,0,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,11,17,3];
paths[1882] = [0,0,1,3,0,1,2,1,1,0,0,0,9,5,15,2,17,8,12,11,6];
paths[1883] = [1,0,3,1,0,1,2,1,1,0,0,0,9,5,15,2,17,8,12,12,4];
paths[1884] = [0,0,1,3,0,1,2,0,1,0,0,0,9,5,15,2,17,8,13,9,7];
paths[1885] = [1,0,3,1,0,1,2,0,1,0,0,0,9,5,15,2,17,8,13,10,5];
paths[1886] = [1,0,3,1,0,1,3,1,1,0,0,0,9,5,15,2,17,8,13,12,3];
paths[1887] = [0,0,1,3,0,1,3,0,1,0,0,0,9,5,15,2,17,8,14,9,6];
paths[1888] = [1,0,3,1,0,1,3,0,1,0,0,0,9,5,15,2,17,8,14,10,4];
paths[1889] = [0,0,3,3,0,1,2,1,1,0,0,0,9,5,15,2,17,8,15,9,5];
paths[1890] = [0,0,3,3,0,1,2,0,1,0,0,0,9,5,15,2,17,8,16,7,6];
paths[1891] = [0,0,3,3,0,1,3,1,1,0,0,0,9,5,15,2,17,8,16,9,4];
paths[1892] = [0,0,3,3,0,1,3,0,1,0,0,0,9,5,15,2,17,8,17,7,5];
paths[1893] = [1,0,3,3,0,1,2,1,1,0,0,0,9,5,15,2,17,8,18,7,4];
paths[1894] = [1,0,3,3,0,1,2,0,1,0,0,0,9,5,15,2,17,8,19,5,5];
paths[1895] = [1,0,3,3,0,1,3,1,1,0,0,0,9,5,15,2,17,8,19,7,3];
paths[1896] = [1,0,3,3,0,1,3,0,1,0,0,0,9,5,15,2,17,8,20,5,4];
paths[1897] = [2,0,1,0,0,1,2,1,1,0,0,0,9,5,15,3,13,6,6,15,8];
paths[1898] = [2,0,1,1,0,1,2,1,1,0,0,0,9,5,15,3,13,6,6,16,6];
paths[1899] = [2,0,1,0,0,1,2,0,1,0,0,0,9,5,15,3,13,6,7,13,9];
paths[1900] = [2,0,1,1,0,1,2,0,1,0,0,0,9,5,15,3,13,6,7,14,7];
paths[1901] = [2,0,1,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,7,16,5];
paths[1902] = [2,0,1,0,0,1,3,0,1,0,0,0,9,5,15,3,13,6,8,13,8];
paths[1903] = [2,0,1,1,0,1,3,0,1,0,0,0,9,5,15,3,13,6,8,14,6];
paths[1904] = [2,0,0,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,8,19,4];
paths[1905] = [2,0,1,2,0,1,2,1,1,0,0,0,9,5,15,3,13,6,9,13,7];
paths[1906] = [2,0,3,1,0,1,2,1,1,0,0,0,9,5,15,3,13,6,9,14,5];
paths[1907] = [2,0,1,2,0,1,2,0,1,0,0,0,9,5,15,3,13,6,10,11,8];
paths[1908] = [2,0,3,1,0,1,2,0,1,0,0,0,9,5,15,3,13,6,10,12,6];
paths[1909] = [2,0,3,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,10,14,4];
paths[1910] = [2,0,1,2,0,1,3,0,1,0,0,0,9,5,15,3,13,6,11,11,7];
paths[1911] = [2,0,3,1,0,1,3,0,1,0,0,0,9,5,15,3,13,6,11,12,5];
paths[1912] = [4,0,0,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,11,17,3];
paths[1913] = [2,0,1,3,0,1,2,1,1,0,0,0,9,5,15,3,13,6,12,11,6];
paths[1914] = [4,0,3,1,0,1,2,1,1,0,0,0,9,5,15,3,13,6,12,12,4];
paths[1915] = [2,0,1,3,0,1,2,0,1,0,0,0,9,5,15,3,13,6,13,9,7];
paths[1916] = [4,0,3,1,0,1,2,0,1,0,0,0,9,5,15,3,13,6,13,10,5];
paths[1917] = [4,0,3,1,0,1,3,1,1,0,0,0,9,5,15,3,13,6,13,12,3];
paths[1918] = [2,0,1,3,0,1,3,0,1,0,0,0,9,5,15,3,13,6,14,9,6];
paths[1919] = [4,0,3,1,0,1,3,0,1,0,0,0,9,5,15,3,13,6,14,10,4];
paths[1920] = [2,0,3,3,0,1,2,1,1,0,0,0,9,5,15,3,13,6,15,9,5];
paths[1921] = [2,0,3,3,0,1,2,0,1,0,0,0,9,5,15,3,13,6,16,7,6];
paths[1922] = [2,0,3,3,0,1,3,1,1,0,0,0,9,5,15,3,13,6,16,9,4];
paths[1923] = [2,0,3,3,0,1,3,0,1,0,0,0,9,5,15,3,13,6,17,7,5];
paths[1924] = [4,0,3,3,0,1,2,1,1,0,0,0,9,5,15,3,13,6,18,7,4];
paths[1925] = [4,0,3,3,0,1,2,0,1,0,0,0,9,5,15,3,13,6,19,5,5];
paths[1926] = [4,0,3,3,0,1,3,1,1,0,0,0,9,5,15,3,13,6,19,7,3];
paths[1927] = [4,0,3,3,0,1,3,0,1,0,0,0,9,5,15,3,13,6,20,5,4];
paths[1928] = [2,0,1,0,0,2,2,1,1,0,0,0,9,5,15,4,9,8,6,15,8];
paths[1929] = [2,0,1,1,0,2,2,1,1,0,0,0,9,5,15,4,9,8,6,16,6];
paths[1930] = [2,0,1,0,0,2,2,0,1,0,0,0,9,5,15,4,9,8,7,13,9];
paths[1931] = [2,0,1,1,0,2,2,0,1,0,0,0,9,5,15,4,9,8,7,14,7];
paths[1932] = [2,0,1,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,7,16,5];
paths[1933] = [2,0,1,0,0,2,3,0,1,0,0,0,9,5,15,4,9,8,8,13,8];
paths[1934] = [2,0,1,1,0,2,3,0,1,0,0,0,9,5,15,4,9,8,8,14,6];
paths[1935] = [2,0,0,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,8,19,4];
paths[1936] = [2,0,1,2,0,2,2,1,1,0,0,0,9,5,15,4,9,8,9,13,7];
paths[1937] = [2,0,3,1,0,2,2,1,1,0,0,0,9,5,15,4,9,8,9,14,5];
paths[1938] = [2,0,1,2,0,2,2,0,1,0,0,0,9,5,15,4,9,8,10,11,8];
paths[1939] = [2,0,3,1,0,2,2,0,1,0,0,0,9,5,15,4,9,8,10,12,6];
paths[1940] = [2,0,3,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,10,14,4];
paths[1941] = [2,0,1,2,0,2,3,0,1,0,0,0,9,5,15,4,9,8,11,11,7];
paths[1942] = [2,0,3,1,0,2,3,0,1,0,0,0,9,5,15,4,9,8,11,12,5];
paths[1943] = [4,0,0,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,11,17,3];
paths[1944] = [2,0,1,3,0,2,2,1,1,0,0,0,9,5,15,4,9,8,12,11,6];
paths[1945] = [4,0,3,1,0,2,2,1,1,0,0,0,9,5,15,4,9,8,12,12,4];
paths[1946] = [2,0,1,3,0,2,2,0,1,0,0,0,9,5,15,4,9,8,13,9,7];
paths[1947] = [4,0,3,1,0,2,2,0,1,0,0,0,9,5,15,4,9,8,13,10,5];
paths[1948] = [4,0,3,1,0,2,3,1,1,0,0,0,9,5,15,4,9,8,13,12,3];
paths[1949] = [2,0,1,3,0,2,3,0,1,0,0,0,9,5,15,4,9,8,14,9,6];
paths[1950] = [4,0,3,1,0,2,3,0,1,0,0,0,9,5,15,4,9,8,14,10,4];
paths[1951] = [2,0,3,3,0,2,2,1,1,0,0,0,9,5,15,4,9,8,15,9,5];
paths[1952] = [2,0,3,3,0,2,2,0,1,0,0,0,9,5,15,4,9,8,16,7,6];
paths[1953] = [2,0,3,3,0,2,3,1,1,0,0,0,9,5,15,4,9,8,16,9,4];
paths[1954] = [2,0,3,3,0,2,3,0,1,0,0,0,9,5,15,4,9,8,17,7,5];
paths[1955] = [4,0,3,3,0,2,2,1,1,0,0,0,9,5,15,4,9,8,18,7,4];
paths[1956] = [4,0,3,3,0,2,2,0,1,0,0,0,9,5,15,4,9,8,19,5,5];
paths[1957] = [4,0,3,3,0,2,3,1,1,0,0,0,9,5,15,4,9,8,19,7,3];
paths[1958] = [4,0,3,3,0,2,3,0,1,0,0,0,9,5,15,4,9,8,20,5,4];
paths[1959] = [2,0,1,0,0,3,2,1,1,0,0,0,9,5,15,5,7,10,6,15,8];
paths[1960] = [2,0,1,1,0,3,2,1,1,0,0,0,9,5,15,5,7,10,6,16,6];
paths[1961] = [2,0,1,0,0,3,2,0,1,0,0,0,9,5,15,5,7,10,7,13,9];
paths[1962] = [2,0,1,1,0,3,2,0,1,0,0,0,9,5,15,5,7,10,7,14,7];
paths[1963] = [2,0,1,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,7,16,5];
paths[1964] = [2,0,1,0,0,3,3,0,1,0,0,0,9,5,15,5,7,10,8,13,8];
paths[1965] = [2,0,1,1,0,3,3,0,1,0,0,0,9,5,15,5,7,10,8,14,6];
paths[1966] = [2,0,0,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,8,19,4];
paths[1967] = [2,0,1,2,0,3,2,1,1,0,0,0,9,5,15,5,7,10,9,13,7];
paths[1968] = [2,0,3,1,0,3,2,1,1,0,0,0,9,5,15,5,7,10,9,14,5];
paths[1969] = [2,0,1,2,0,3,2,0,1,0,0,0,9,5,15,5,7,10,10,11,8];
paths[1970] = [2,0,3,1,0,3,2,0,1,0,0,0,9,5,15,5,7,10,10,12,6];
paths[1971] = [2,0,3,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,10,14,4];
paths[1972] = [2,0,1,2,0,3,3,0,1,0,0,0,9,5,15,5,7,10,11,11,7];
paths[1973] = [2,0,3,1,0,3,3,0,1,0,0,0,9,5,15,5,7,10,11,12,5];
paths[1974] = [4,0,0,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,11,17,3];
paths[1975] = [2,0,1,3,0,3,2,1,1,0,0,0,9,5,15,5,7,10,12,11,6];
paths[1976] = [4,0,3,1,0,3,2,1,1,0,0,0,9,5,15,5,7,10,12,12,4];
paths[1977] = [2,0,1,3,0,3,2,0,1,0,0,0,9,5,15,5,7,10,13,9,7];
paths[1978] = [4,0,3,1,0,3,2,0,1,0,0,0,9,5,15,5,7,10,13,10,5];
paths[1979] = [4,0,3,1,0,3,3,1,1,0,0,0,9,5,15,5,7,10,13,12,3];
paths[1980] = [2,0,1,3,0,3,3,0,1,0,0,0,9,5,15,5,7,10,14,9,6];
paths[1981] = [4,0,3,1,0,3,3,0,1,0,0,0,9,5,15,5,7,10,14,10,4];
paths[1982] = [2,0,3,3,0,3,2,1,1,0,0,0,9,5,15,5,7,10,15,9,5];
paths[1983] = [2,0,3,3,0,3,2,0,1,0,0,0,9,5,15,5,7,10,16,7,6];
paths[1984] = [2,0,3,3,0,3,3,1,1,0,0,0,9,5,15,5,7,10,16,9,4];
paths[1985] = [2,0,3,3,0,3,3,0,1,0,0,0,9,5,15,5,7,10,17,7,5];
paths[1986] = [4,0,3,3,0,3,2,1,1,0,0,0,9,5,15,5,7,10,18,7,4];
paths[1987] = [4,0,3,3,0,3,2,0,1,0,0,0,9,5,15,5,7,10,19,5,5];
paths[1988] = [4,0,3,3,0,3,3,1,1,0,0,0,9,5,15,5,7,10,19,7,3];
paths[1989] = [4,0,3,3,0,3,3,0,1,0,0,0,9,5,15,5,7,10,20,5,4];
paths[1990] = [2,0,1,0,0,0,2,1,1,0,0,0,9,5,15,5,8,9,6,15,8];
paths[1991] = [2,0,1,1,0,0,2,1,1,0,0,0,9,5,15,5,8,9,6,16,6];
paths[1992] = [2,0,1,0,0,0,2,0,1,0,0,0,9,5,15,5,8,9,7,13,9];
paths[1993] = [2,0,1,1,0,0,2,0,1,0,0,0,9,5,15,5,8,9,7,14,7];
paths[1994] = [2,0,1,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,7,16,5];
paths[1995] = [2,0,1,0,0,0,3,0,1,0,0,0,9,5,15,5,8,9,8,13,8];
paths[1996] = [2,0,1,1,0,0,3,0,1,0,0,0,9,5,15,5,8,9,8,14,6];
paths[1997] = [2,0,0,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,8,19,4];
paths[1998] = [2,0,1,2,0,0,2,1,1,0,0,0,9,5,15,5,8,9,9,13,7];
paths[1999] = [2,0,3,1,0,0,2,1,1,0,0,0,9,5,15,5,8,9,9,14,5];
paths[2000] = [2,0,1,2,0,0,2,0,1,0,0,0,9,5,15,5,8,9,10,11,8];
paths[2001] = [2,0,3,1,0,0,2,0,1,0,0,0,9,5,15,5,8,9,10,12,6];
paths[2002] = [2,0,3,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,10,14,4];
paths[2003] = [2,0,1,2,0,0,3,0,1,0,0,0,9,5,15,5,8,9,11,11,7];
paths[2004] = [2,0,3,1,0,0,3,0,1,0,0,0,9,5,15,5,8,9,11,12,5];
paths[2005] = [4,0,0,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,11,17,3];
paths[2006] = [2,0,1,3,0,0,2,1,1,0,0,0,9,5,15,5,8,9,12,11,6];
paths[2007] = [4,0,3,1,0,0,2,1,1,0,0,0,9,5,15,5,8,9,12,12,4];
paths[2008] = [2,0,1,3,0,0,2,0,1,0,0,0,9,5,15,5,8,9,13,9,7];
paths[2009] = [4,0,3,1,0,0,2,0,1,0,0,0,9,5,15,5,8,9,13,10,5];
paths[2010] = [4,0,3,1,0,0,3,1,1,0,0,0,9,5,15,5,8,9,13,12,3];
paths[2011] = [2,0,1,3,0,0,3,0,1,0,0,0,9,5,15,5,8,9,14,9,6];
paths[2012] = [4,0,3,1,0,0,3,0,1,0,0,0,9,5,15,5,8,9,14,10,4];
paths[2013] = [2,0,3,3,0,0,2,1,1,0,0,0,9,5,15,5,8,9,15,9,5];
paths[2014] = [2,0,3,3,0,0,2,0,1,0,0,0,9,5,15,5,8,9,16,7,6];
paths[2015] = [2,0,3,3,0,0,3,1,1,0,0,0,9,5,15,5,8,9,16,9,4];
paths[2016] = [2,0,3,3,0,0,3,0,1,0,0,0,9,5,15,5,8,9,17,7,5];
paths[2017] = [4,0,3,3,0,0,2,1,1,0,0,0,9,5,15,5,8,9,18,7,4];
paths[2018] = [4,0,3,3,0,0,2,0,1,0,0,0,9,5,15,5,8,9,19,5,5];
paths[2019] = [4,0,3,3,0,0,3,1,1,0,0,0,9,5,15,5,8,9,19,7,3];
paths[2020] = [4,0,3,3,0,0,3,0,1,0,0,0,9,5,15,5,8,9,20,5,4];
paths[2021] = [2,1,1,0,0,1,0,1,1,0,0,0,9,5,15,8,12,7,6,15,8];
paths[2022] = [2,1,1,1,0,1,0,1,1,0,0,0,9,5,15,8,12,7,6,16,6];
paths[2023] = [2,1,1,0,0,1,0,0,1,0,0,0,9,5,15,8,12,7,7,13,9];
paths[2024] = [2,1,1,1,0,1,0,0,1,0,0,0,9,5,15,8,12,7,7,14,7];
paths[2025] = [2,1,1,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,7,16,5];
paths[2026] = [2,1,1,0,0,1,1,0,1,0,0,0,9,5,15,8,12,7,8,13,8];
paths[2027] = [2,1,1,1,0,1,1,0,1,0,0,0,9,5,15,8,12,7,8,14,6];
paths[2028] = [2,1,0,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,8,19,4];
paths[2029] = [2,1,1,2,0,1,0,1,1,0,0,0,9,5,15,8,12,7,9,13,7];
paths[2030] = [2,1,3,1,0,1,0,1,1,0,0,0,9,5,15,8,12,7,9,14,5];
paths[2031] = [2,1,1,2,0,1,0,0,1,0,0,0,9,5,15,8,12,7,10,11,8];
paths[2032] = [2,1,3,1,0,1,0,0,1,0,0,0,9,5,15,8,12,7,10,12,6];
paths[2033] = [2,1,3,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,10,14,4];
paths[2034] = [2,1,1,2,0,1,1,0,1,0,0,0,9,5,15,8,12,7,11,11,7];
paths[2035] = [2,1,3,1,0,1,1,0,1,0,0,0,9,5,15,8,12,7,11,12,5];
paths[2036] = [4,1,0,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,11,17,3];
paths[2037] = [2,1,1,3,0,1,0,1,1,0,0,0,9,5,15,8,12,7,12,11,6];
paths[2038] = [4,1,3,1,0,1,0,1,1,0,0,0,9,5,15,8,12,7,12,12,4];
paths[2039] = [2,1,1,3,0,1,0,0,1,0,0,0,9,5,15,8,12,7,13,9,7];
paths[2040] = [4,1,3,1,0,1,0,0,1,0,0,0,9,5,15,8,12,7,13,10,5];
paths[2041] = [4,1,3,1,0,1,1,1,1,0,0,0,9,5,15,8,12,7,13,12,3];
paths[2042] = [2,1,1,3,0,1,1,0,1,0,0,0,9,5,15,8,12,7,14,9,6];
paths[2043] = [4,1,3,1,0,1,1,0,1,0,0,0,9,5,15,8,12,7,14,10,4];
paths[2044] = [2,1,3,3,0,1,0,1,1,0,0,0,9,5,15,8,12,7,15,9,5];
paths[2045] = [2,1,3,3,0,1,0,0,1,0,0,0,9,5,15,8,12,7,16,7,6];
paths[2046] = [2,1,3,3,0,1,1,1,1,0,0,0,9,5,15,8,12,7,16,9,4];
paths[2047] = [2,1,3,3,0,1,1,0,1,0,0,0,9,5,15,8,12,7,17,7,5];
paths[2048] = [4,1,3,3,0,1,0,1,1,0,0,0,9,5,15,8,12,7,18,7,4];
paths[2049] = [4,1,3,3,0,1,0,0,1,0,0,0,9,5,15,8,12,7,19,5,5];
paths[2050] = [4,1,3,3,0,1,1,1,1,0,0,0,9,5,15,8,12,7,19,7,3];
paths[2051] = [4,1,3,3,0,1,1,0,1,0,0,0,9,5,15,8,12,7,20,5,4];
paths[2052] = [2,0,4,0,0,1,2,1,1,0,0,0,9,5,15,8,14,5,6,15,8];
paths[2053] = [2,0,4,1,0,1,2,1,1,0,0,0,9,5,15,8,14,5,6,16,6];
paths[2054] = [2,0,4,0,0,1,2,0,1,0,0,0,9,5,15,8,14,5,7,13,9];
paths[2055] = [2,0,4,1,0,1,2,0,1,0,0,0,9,5,15,8,14,5,7,14,7];
paths[2056] = [2,0,4,1,0,1,3,1,1,0,0,0,9,5,15,8,14,5,7,16,5];
paths[2057] = [2,0,4,0,0,1,3,0,1,0,0,0,9,5,15,8,14,5,8,13,8];
paths[2058] = [2,0,4,1,0,1,3,0,1,0,0,0,9,5,15,8,14,5,8,14,6];
paths[2059] = [2,0,4,2,0,1,2,1,1,0,0,0,9,5,15,8,14,5,9,13,7];
paths[2060] = [2,0,5,1,0,1,2,1,1,0,0,0,9,5,15,8,14,5,9,14,5];
paths[2061] = [2,0,4,2,0,1,2,0,1,0,0,0,9,5,15,8,14,5,10,11,8];
paths[2062] = [2,0,5,1,0,1,2,0,1,0,0,0,9,5,15,8,14,5,10,12,6];
paths[2063] = [2,0,5,1,0,1,3,1,1,0,0,0,9,5,15,8,14,5,10,14,4];
paths[2064] = [2,0,4,2,0,1,3,0,1,0,0,0,9,5,15,8,14,5,11,11,7];
paths[2065] = [2,0,5,1,0,1,3,0,1,0,0,0,9,5,15,8,14,5,11,12,5];
paths[2066] = [2,0,4,3,0,1,2,1,1,0,0,0,9,5,15,8,14,5,12,11,6];
paths[2067] = [4,0,5,1,0,1,2,1,1,0,0,0,9,5,15,8,14,5,12,12,4];
paths[2068] = [2,0,4,3,0,1,2,0,1,0,0,0,9,5,15,8,14,5,13,9,7];
paths[2069] = [4,0,5,1,0,1,2,0,1,0,0,0,9,5,15,8,14,5,13,10,5];
paths[2070] = [4,0,5,1,0,1,3,1,1,0,0,0,9,5,15,8,14,5,13,12,3];
paths[2071] = [2,0,4,3,0,1,3,0,1,0,0,0,9,5,15,8,14,5,14,9,6];
paths[2072] = [4,0,5,1,0,1,3,0,1,0,0,0,9,5,15,8,14,5,14,10,4];
paths[2073] = [2,0,5,3,0,1,2,1,1,0,0,0,9,5,15,8,14,5,15,9,5];
paths[2074] = [2,0,5,3,0,1,2,0,1,0,0,0,9,5,15,8,14,5,16,7,6];
paths[2075] = [2,0,5,3,0,1,3,1,1,0,0,0,9,5,15,8,14,5,16,9,4];
paths[2076] = [2,0,5,3,0,1,3,0,1,0,0,0,9,5,15,8,14,5,17,7,5];
paths[2077] = [4,0,5,3,0,1,2,1,1,0,0,0,9,5,15,8,14,5,18,7,4];
paths[2078] = [4,0,5,3,0,1,2,0,1,0,0,0,9,5,15,8,14,5,19,5,5];
paths[2079] = [4,0,5,3,0,1,3,1,1,0,0,0,9,5,15,8,14,5,19,7,3];
paths[2080] = [4,0,5,3,0,1,3,0,1,0,0,0,9,5,15,8,14,5,20,5,4];
paths[2081] = [2,0,4,0,0,2,2,1,1,0,0,0,9,5,15,9,10,7,6,15,8];
paths[2082] = [2,0,4,1,0,2,2,1,1,0,0,0,9,5,15,9,10,7,6,16,6];
paths[2083] = [2,0,4,0,0,2,2,0,1,0,0,0,9,5,15,9,10,7,7,13,9];
paths[2084] = [2,0,4,1,0,2,2,0,1,0,0,0,9,5,15,9,10,7,7,14,7];
paths[2085] = [2,0,4,1,0,2,3,1,1,0,0,0,9,5,15,9,10,7,7,16,5];
paths[2086] = [2,0,4,0,0,2,3,0,1,0,0,0,9,5,15,9,10,7,8,13,8];
paths[2087] = [2,0,4,1,0,2,3,0,1,0,0,0,9,5,15,9,10,7,8,14,6];
paths[2088] = [2,0,4,2,0,2,2,1,1,0,0,0,9,5,15,9,10,7,9,13,7];
paths[2089] = [2,0,5,1,0,2,2,1,1,0,0,0,9,5,15,9,10,7,9,14,5];
paths[2090] = [2,0,4,2,0,2,2,0,1,0,0,0,9,5,15,9,10,7,10,11,8];
paths[2091] = [2,0,5,1,0,2,2,0,1,0,0,0,9,5,15,9,10,7,10,12,6];
paths[2092] = [2,0,5,1,0,2,3,1,1,0,0,0,9,5,15,9,10,7,10,14,4];
paths[2093] = [2,0,4,2,0,2,3,0,1,0,0,0,9,5,15,9,10,7,11,11,7];
paths[2094] = [2,0,5,1,0,2,3,0,1,0,0,0,9,5,15,9,10,7,11,12,5];
paths[2095] = [2,0,4,3,0,2,2,1,1,0,0,0,9,5,15,9,10,7,12,11,6];
paths[2096] = [4,0,5,1,0,2,2,1,1,0,0,0,9,5,15,9,10,7,12,12,4];
paths[2097] = [2,0,4,3,0,2,2,0,1,0,0,0,9,5,15,9,10,7,13,9,7];
paths[2098] = [4,0,5,1,0,2,2,0,1,0,0,0,9,5,15,9,10,7,13,10,5];
paths[2099] = [4,0,5,1,0,2,3,1,1,0,0,0,9,5,15,9,10,7,13,12,3];
paths[2100] = [2,0,4,3,0,2,3,0,1,0,0,0,9,5,15,9,10,7,14,9,6];
paths[2101] = [4,0,5,1,0,2,3,0,1,0,0,0,9,5,15,9,10,7,14,10,4];
paths[2102] = [2,0,5,3,0,2,2,1,1,0,0,0,9,5,15,9,10,7,15,9,5];
paths[2103] = [2,0,5,3,0,2,2,0,1,0,0,0,9,5,15,9,10,7,16,7,6];
paths[2104] = [2,0,5,3,0,2,3,1,1,0,0,0,9,5,15,9,10,7,16,9,4];
paths[2105] = [2,0,5,3,0,2,3,0,1,0,0,0,9,5,15,9,10,7,17,7,5];
paths[2106] = [4,0,5,3,0,2,2,1,1,0,0,0,9,5,15,9,10,7,18,7,4];
paths[2107] = [4,0,5,3,0,2,2,0,1,0,0,0,9,5,15,9,10,7,19,5,5];
paths[2108] = [4,0,5,3,0,2,3,1,1,0,0,0,9,5,15,9,10,7,19,7,3];
paths[2109] = [4,0,5,3,0,2,3,0,1,0,0,0,9,5,15,9,10,7,20,5,4];
paths[2110] = [2,1,1,0,0,3,0,1,1,0,0,0,9,5,15,10,6,11,6,15,8];
paths[2111] = [2,1,1,1,0,3,0,1,1,0,0,0,9,5,15,10,6,11,6,16,6];
paths[2112] = [2,1,1,0,0,3,0,0,1,0,0,0,9,5,15,10,6,11,7,13,9];
paths[2113] = [2,1,1,1,0,3,0,0,1,0,0,0,9,5,15,10,6,11,7,14,7];
paths[2114] = [2,1,1,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,7,16,5];
paths[2115] = [2,1,1,0,0,3,1,0,1,0,0,0,9,5,15,10,6,11,8,13,8];
paths[2116] = [2,1,1,1,0,3,1,0,1,0,0,0,9,5,15,10,6,11,8,14,6];
paths[2117] = [2,1,0,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,8,19,4];
paths[2118] = [2,1,1,2,0,3,0,1,1,0,0,0,9,5,15,10,6,11,9,13,7];
paths[2119] = [2,1,3,1,0,3,0,1,1,0,0,0,9,5,15,10,6,11,9,14,5];
paths[2120] = [2,1,1,2,0,3,0,0,1,0,0,0,9,5,15,10,6,11,10,11,8];
paths[2121] = [2,1,3,1,0,3,0,0,1,0,0,0,9,5,15,10,6,11,10,12,6];
paths[2122] = [2,1,3,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,10,14,4];
paths[2123] = [2,1,1,2,0,3,1,0,1,0,0,0,9,5,15,10,6,11,11,11,7];
paths[2124] = [2,1,3,1,0,3,1,0,1,0,0,0,9,5,15,10,6,11,11,12,5];
paths[2125] = [4,1,0,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,11,17,3];
paths[2126] = [2,1,1,3,0,3,0,1,1,0,0,0,9,5,15,10,6,11,12,11,6];
paths[2127] = [4,1,3,1,0,3,0,1,1,0,0,0,9,5,15,10,6,11,12,12,4];
paths[2128] = [2,1,1,3,0,3,0,0,1,0,0,0,9,5,15,10,6,11,13,9,7];
paths[2129] = [4,1,3,1,0,3,0,0,1,0,0,0,9,5,15,10,6,11,13,10,5];
paths[2130] = [4,1,3,1,0,3,1,1,1,0,0,0,9,5,15,10,6,11,13,12,3];
paths[2131] = [2,1,1,3,0,3,1,0,1,0,0,0,9,5,15,10,6,11,14,9,6];
paths[2132] = [4,1,3,1,0,3,1,0,1,0,0,0,9,5,15,10,6,11,14,10,4];
paths[2133] = [2,1,3,3,0,3,0,1,1,0,0,0,9,5,15,10,6,11,15,9,5];
paths[2134] = [2,1,3,3,0,3,0,0,1,0,0,0,9,5,15,10,6,11,16,7,6];
paths[2135] = [2,1,3,3,0,3,1,1,1,0,0,0,9,5,15,10,6,11,16,9,4];
paths[2136] = [2,1,3,3,0,3,1,0,1,0,0,0,9,5,15,10,6,11,17,7,5];
paths[2137] = [4,1,3,3,0,3,0,1,1,0,0,0,9,5,15,10,6,11,18,7,4];
paths[2138] = [4,1,3,3,0,3,0,0,1,0,0,0,9,5,15,10,6,11,19,5,5];
paths[2139] = [4,1,3,3,0,3,1,1,1,0,0,0,9,5,15,10,6,11,19,7,3];
paths[2140] = [4,1,3,3,0,3,1,0,1,0,0,0,9,5,15,10,6,11,20,5,4];
paths[2141] = [0,2,6,0,3,1,4,1,0,0,0,0,9,12,9,2,17,8,5,17,9];
paths[2142] = [0,2,6,1,3,1,4,1,0,0,0,0,9,12,9,2,17,8,5,18,7];
paths[2143] = [0,2,6,0,2,1,4,1,0,0,0,0,9,12,9,2,17,8,6,15,8];
paths[2144] = [0,2,6,1,2,1,4,1,0,0,0,0,9,12,9,2,17,8,6,16,6];
paths[2145] = [0,2,6,0,2,1,4,0,0,0,0,0,9,12,9,2,17,8,7,13,9];
paths[2146] = [0,2,6,1,2,1,4,0,0,0,0,0,9,12,9,2,17,8,7,14,7];
paths[2147] = [0,2,6,1,2,1,5,1,0,0,0,0,9,12,9,2,17,8,7,16,5];
paths[2148] = [0,2,6,0,2,1,5,0,0,0,0,0,9,12,9,2,17,8,8,13,8];
paths[2149] = [0,2,6,1,2,1,5,0,0,0,0,0,9,12,9,2,17,8,8,14,6];
paths[2150] = [0,2,6,2,2,1,4,1,0,0,0,0,9,12,9,2,17,8,9,13,7];
paths[2151] = [0,2,7,1,2,1,4,1,0,0,0,0,9,12,9,2,17,8,9,14,5];
paths[2152] = [0,2,6,2,2,1,4,0,0,0,0,0,9,12,9,2,17,8,10,11,8];
paths[2153] = [0,2,7,1,2,1,4,0,0,0,0,0,9,12,9,2,17,8,10,12,6];
paths[2154] = [0,2,7,1,2,1,5,1,0,0,0,0,9,12,9,2,17,8,10,14,4];
paths[2155] = [0,2,6,2,2,1,5,0,0,0,0,0,9,12,9,2,17,8,11,11,7];
paths[2156] = [0,2,7,1,2,1,5,0,0,0,0,0,9,12,9,2,17,8,11,12,5];
paths[2157] = [0,2,6,3,2,1,4,1,0,0,0,0,9,12,9,2,17,8,12,11,6];
paths[2158] = [1,2,7,1,2,1,4,1,0,0,0,0,9,12,9,2,17,8,12,12,4];
paths[2159] = [0,2,6,3,2,1,4,0,0,0,0,0,9,12,9,2,17,8,13,9,7];
paths[2160] = [1,2,7,1,2,1,4,0,0,0,0,0,9,12,9,2,17,8,13,10,5];
paths[2161] = [1,2,7,1,2,1,5,1,0,0,0,0,9,12,9,2,17,8,13,12,3];
paths[2162] = [0,2,6,3,2,1,5,0,0,0,0,0,9,12,9,2,17,8,14,9,6];
paths[2163] = [1,2,7,1,2,1,5,0,0,0,0,0,9,12,9,2,17,8,14,10,4];
paths[2164] = [0,2,7,3,2,1,4,1,0,0,0,0,9,12,9,2,17,8,15,9,5];
paths[2165] = [0,2,7,3,2,1,4,0,0,0,0,0,9,12,9,2,17,8,16,7,6];
paths[2166] = [0,2,7,3,2,1,5,1,0,0,0,0,9,12,9,2,17,8,16,9,4];
paths[2167] = [0,2,7,3,2,1,5,0,0,0,0,0,9,12,9,2,17,8,17,7,5];
paths[2168] = [1,2,7,3,2,1,4,1,0,0,0,0,9,12,9,2,17,8,18,7,4];
paths[2169] = [1,2,7,3,2,1,4,0,0,0,0,0,9,12,9,2,17,8,19,5,5];
paths[2170] = [1,2,7,3,2,1,5,1,0,0,0,0,9,12,9,2,17,8,19,7,3];
paths[2171] = [1,2,7,3,2,1,5,0,0,0,0,0,9,12,9,2,17,8,20,5,4];
paths[2172] = [1,2,7,3,1,1,4,0,0,0,0,0,9,12,9,2,17,8,22,3,6];
paths[2173] = [1,2,7,3,1,1,5,0,0,0,0,0,9,12,9,2,17,8,23,3,5];
paths[2174] = [2,2,6,0,3,1,4,1,0,0,0,0,9,12,9,3,13,6,5,17,9];
paths[2175] = [2,2,6,1,3,1,4,1,0,0,0,0,9,12,9,3,13,6,5,18,7];
paths[2176] = [2,2,6,0,2,1,4,1,0,0,0,0,9,12,9,3,13,6,6,15,8];
paths[2177] = [2,2,6,1,2,1,4,1,0,0,0,0,9,12,9,3,13,6,6,16,6];
paths[2178] = [2,2,6,0,2,1,4,0,0,0,0,0,9,12,9,3,13,6,7,13,9];
paths[2179] = [2,2,6,1,2,1,4,0,0,0,0,0,9,12,9,3,13,6,7,14,7];
paths[2180] = [2,2,6,1,2,1,5,1,0,0,0,0,9,12,9,3,13,6,7,16,5];
paths[2181] = [2,2,6,0,2,1,5,0,0,0,0,0,9,12,9,3,13,6,8,13,8];
paths[2182] = [2,2,6,1,2,1,5,0,0,0,0,0,9,12,9,3,13,6,8,14,6];
paths[2183] = [2,2,6,2,2,1,4,1,0,0,0,0,9,12,9,3,13,6,9,13,7];
paths[2184] = [2,2,7,1,2,1,4,1,0,0,0,0,9,12,9,3,13,6,9,14,5];
paths[2185] = [2,2,6,2,2,1,4,0,0,0,0,0,9,12,9,3,13,6,10,11,8];
paths[2186] = [2,2,7,1,2,1,4,0,0,0,0,0,9,12,9,3,13,6,10,12,6];
paths[2187] = [2,2,7,1,2,1,5,1,0,0,0,0,9,12,9,3,13,6,10,14,4];
paths[2188] = [2,2,6,2,2,1,5,0,0,0,0,0,9,12,9,3,13,6,11,11,7];
paths[2189] = [2,2,7,1,2,1,5,0,0,0,0,0,9,12,9,3,13,6,11,12,5];
paths[2190] = [2,2,6,3,2,1,4,1,0,0,0,0,9,12,9,3,13,6,12,11,6];
paths[2191] = [4,2,7,1,2,1,4,1,0,0,0,0,9,12,9,3,13,6,12,12,4];
paths[2192] = [2,2,6,3,2,1,4,0,0,0,0,0,9,12,9,3,13,6,13,9,7];
paths[2193] = [4,2,7,1,2,1,4,0,0,0,0,0,9,12,9,3,13,6,13,10,5];
paths[2194] = [4,2,7,1,2,1,5,1,0,0,0,0,9,12,9,3,13,6,13,12,3];
paths[2195] = [2,2,6,3,2,1,5,0,0,0,0,0,9,12,9,3,13,6,14,9,6];
paths[2196] = [4,2,7,1,2,1,5,0,0,0,0,0,9,12,9,3,13,6,14,10,4];
paths[2197] = [2,2,7,3,2,1,4,1,0,0,0,0,9,12,9,3,13,6,15,9,5];
paths[2198] = [2,2,7,3,2,1,4,0,0,0,0,0,9,12,9,3,13,6,16,7,6];
paths[2199] = [2,2,7,3,2,1,5,1,0,0,0,0,9,12,9,3,13,6,16,9,4];
paths[2200] = [2,2,7,3,2,1,5,0,0,0,0,0,9,12,9,3,13,6,17,7,5];
paths[2201] = [4,2,7,3,2,1,4,1,0,0,0,0,9,12,9,3,13,6,18,7,4];
paths[2202] = [4,2,7,3,2,1,4,0,0,0,0,0,9,12,9,3,13,6,19,5,5];
paths[2203] = [4,2,7,3,2,1,5,1,0,0,0,0,9,12,9,3,13,6,19,7,3];
paths[2204] = [4,2,7,3,2,1,5,0,0,0,0,0,9,12,9,3,13,6,20,5,4];
paths[2205] = [4,2,7,3,1,1,4,0,0,0,0,0,9,12,9,3,13,6,22,3,6];
paths[2206] = [4,2,7,3,1,1,5,0,0,0,0,0,9,12,9,3,13,6,23,3,5];
paths[2207] = [2,2,6,0,3,2,4,1,0,0,0,0,9,12,9,4,9,8,5,17,9];
paths[2208] = [2,2,6,1,3,2,4,1,0,0,0,0,9,12,9,4,9,8,5,18,7];
paths[2209] = [2,2,6,0,2,2,4,1,0,0,0,0,9,12,9,4,9,8,6,15,8];
paths[2210] = [2,2,6,1,2,2,4,1,0,0,0,0,9,12,9,4,9,8,6,16,6];
paths[2211] = [2,2,6,0,2,2,4,0,0,0,0,0,9,12,9,4,9,8,7,13,9];
paths[2212] = [2,2,6,1,2,2,4,0,0,0,0,0,9,12,9,4,9,8,7,14,7];
paths[2213] = [2,2,6,1,2,2,5,1,0,0,0,0,9,12,9,4,9,8,7,16,5];
paths[2214] = [2,2,6,0,2,2,5,0,0,0,0,0,9,12,9,4,9,8,8,13,8];
paths[2215] = [2,2,6,1,2,2,5,0,0,0,0,0,9,12,9,4,9,8,8,14,6];
paths[2216] = [2,2,6,2,2,2,4,1,0,0,0,0,9,12,9,4,9,8,9,13,7];
paths[2217] = [2,2,7,1,2,2,4,1,0,0,0,0,9,12,9,4,9,8,9,14,5];
paths[2218] = [2,2,6,2,2,2,4,0,0,0,0,0,9,12,9,4,9,8,10,11,8];
paths[2219] = [2,2,7,1,2,2,4,0,0,0,0,0,9,12,9,4,9,8,10,12,6];
paths[2220] = [2,2,7,1,2,2,5,1,0,0,0,0,9,12,9,4,9,8,10,14,4];
paths[2221] = [2,2,6,2,2,2,5,0,0,0,0,0,9,12,9,4,9,8,11,11,7];
paths[2222] = [2,2,7,1,2,2,5,0,0,0,0,0,9,12,9,4,9,8,11,12,5];
paths[2223] = [2,2,6,3,2,2,4,1,0,0,0,0,9,12,9,4,9,8,12,11,6];
paths[2224] = [4,2,7,1,2,2,4,1,0,0,0,0,9,12,9,4,9,8,12,12,4];
paths[2225] = [2,2,6,3,2,2,4,0,0,0,0,0,9,12,9,4,9,8,13,9,7];
paths[2226] = [4,2,7,1,2,2,4,0,0,0,0,0,9,12,9,4,9,8,13,10,5];
paths[2227] = [4,2,7,1,2,2,5,1,0,0,0,0,9,12,9,4,9,8,13,12,3];
paths[2228] = [2,2,6,3,2,2,5,0,0,0,0,0,9,12,9,4,9,8,14,9,6];
paths[2229] = [4,2,7,1,2,2,5,0,0,0,0,0,9,12,9,4,9,8,14,10,4];
paths[2230] = [2,2,7,3,2,2,4,1,0,0,0,0,9,12,9,4,9,8,15,9,5];
paths[2231] = [2,2,7,3,2,2,4,0,0,0,0,0,9,12,9,4,9,8,16,7,6];
paths[2232] = [2,2,7,3,2,2,5,1,0,0,0,0,9,12,9,4,9,8,16,9,4];
paths[2233] = [2,2,7,3,2,2,5,0,0,0,0,0,9,12,9,4,9,8,17,7,5];
paths[2234] = [4,2,7,3,2,2,4,1,0,0,0,0,9,12,9,4,9,8,18,7,4];
paths[2235] = [4,2,7,3,2,2,4,0,0,0,0,0,9,12,9,4,9,8,19,5,5];
paths[2236] = [4,2,7,3,2,2,5,1,0,0,0,0,9,12,9,4,9,8,19,7,3];
paths[2237] = [4,2,7,3,2,2,5,0,0,0,0,0,9,12,9,4,9,8,20,5,4];
paths[2238] = [4,2,7,3,1,2,4,0,0,0,0,0,9,12,9,4,9,8,22,3,6];
paths[2239] = [4,2,7,3,1,2,5,0,0,0,0,0,9,12,9,4,9,8,23,3,5];
paths[2240] = [2,2,6,0,3,3,4,1,0,0,0,0,9,12,9,5,7,10,5,17,9];
paths[2241] = [2,2,6,1,3,3,4,1,0,0,0,0,9,12,9,5,7,10,5,18,7];
paths[2242] = [2,2,6,0,2,3,4,1,0,0,0,0,9,12,9,5,7,10,6,15,8];
paths[2243] = [2,2,6,1,2,3,4,1,0,0,0,0,9,12,9,5,7,10,6,16,6];
paths[2244] = [2,2,6,0,2,3,4,0,0,0,0,0,9,12,9,5,7,10,7,13,9];
paths[2245] = [2,2,6,1,2,3,4,0,0,0,0,0,9,12,9,5,7,10,7,14,7];
paths[2246] = [2,2,6,1,2,3,5,1,0,0,0,0,9,12,9,5,7,10,7,16,5];
paths[2247] = [2,2,6,0,2,3,5,0,0,0,0,0,9,12,9,5,7,10,8,13,8];
paths[2248] = [2,2,6,1,2,3,5,0,0,0,0,0,9,12,9,5,7,10,8,14,6];
paths[2249] = [2,2,6,2,2,3,4,1,0,0,0,0,9,12,9,5,7,10,9,13,7];
paths[2250] = [2,2,7,1,2,3,4,1,0,0,0,0,9,12,9,5,7,10,9,14,5];
paths[2251] = [2,2,6,2,2,3,4,0,0,0,0,0,9,12,9,5,7,10,10,11,8];
paths[2252] = [2,2,7,1,2,3,4,0,0,0,0,0,9,12,9,5,7,10,10,12,6];
paths[2253] = [2,2,7,1,2,3,5,1,0,0,0,0,9,12,9,5,7,10,10,14,4];
paths[2254] = [2,2,6,2,2,3,5,0,0,0,0,0,9,12,9,5,7,10,11,11,7];
paths[2255] = [2,2,7,1,2,3,5,0,0,0,0,0,9,12,9,5,7,10,11,12,5];
paths[2256] = [2,2,6,3,2,3,4,1,0,0,0,0,9,12,9,5,7,10,12,11,6];
paths[2257] = [4,2,7,1,2,3,4,1,0,0,0,0,9,12,9,5,7,10,12,12,4];
paths[2258] = [2,2,6,3,2,3,4,0,0,0,0,0,9,12,9,5,7,10,13,9,7];
paths[2259] = [4,2,7,1,2,3,4,0,0,0,0,0,9,12,9,5,7,10,13,10,5];
paths[2260] = [4,2,7,1,2,3,5,1,0,0,0,0,9,12,9,5,7,10,13,12,3];
paths[2261] = [2,2,6,3,2,3,5,0,0,0,0,0,9,12,9,5,7,10,14,9,6];
paths[2262] = [4,2,7,1,2,3,5,0,0,0,0,0,9,12,9,5,7,10,14,10,4];
paths[2263] = [2,2,7,3,2,3,4,1,0,0,0,0,9,12,9,5,7,10,15,9,5];
paths[2264] = [2,2,7,3,2,3,4,0,0,0,0,0,9,12,9,5,7,10,16,7,6];
paths[2265] = [2,2,7,3,2,3,5,1,0,0,0,0,9,12,9,5,7,10,16,9,4];
paths[2266] = [2,2,7,3,2,3,5,0,0,0,0,0,9,12,9,5,7,10,17,7,5];
paths[2267] = [4,2,7,3,2,3,4,1,0,0,0,0,9,12,9,5,7,10,18,7,4];
paths[2268] = [4,2,7,3,2,3,4,0,0,0,0,0,9,12,9,5,7,10,19,5,5];
paths[2269] = [4,2,7,3,2,3,5,1,0,0,0,0,9,12,9,5,7,10,19,7,3];
paths[2270] = [4,2,7,3,2,3,5,0,0,0,0,0,9,12,9,5,7,10,20,5,4];
paths[2271] = [4,2,7,3,1,3,4,0,0,0,0,0,9,12,9,5,7,10,22,3,6];
paths[2272] = [4,2,7,3,1,3,5,0,0,0,0,0,9,12,9,5,7,10,23,3,5];
paths[2273] = [2,2,6,0,3,0,4,1,0,0,0,0,9,12,9,5,8,9,5,17,9];
paths[2274] = [2,2,6,1,3,0,4,1,0,0,0,0,9,12,9,5,8,9,5,18,7];
paths[2275] = [2,2,6,0,2,0,4,1,0,0,0,0,9,12,9,5,8,9,6,15,8];
paths[2276] = [2,2,6,1,2,0,4,1,0,0,0,0,9,12,9,5,8,9,6,16,6];
paths[2277] = [2,2,6,0,2,0,4,0,0,0,0,0,9,12,9,5,8,9,7,13,9];
paths[2278] = [2,2,6,1,2,0,4,0,0,0,0,0,9,12,9,5,8,9,7,14,7];
paths[2279] = [2,2,6,1,2,0,5,1,0,0,0,0,9,12,9,5,8,9,7,16,5];
paths[2280] = [2,2,6,0,2,0,5,0,0,0,0,0,9,12,9,5,8,9,8,13,8];
paths[2281] = [2,2,6,1,2,0,5,0,0,0,0,0,9,12,9,5,8,9,8,14,6];
paths[2282] = [2,2,6,2,2,0,4,1,0,0,0,0,9,12,9,5,8,9,9,13,7];
paths[2283] = [2,2,7,1,2,0,4,1,0,0,0,0,9,12,9,5,8,9,9,14,5];
paths[2284] = [2,2,6,2,2,0,4,0,0,0,0,0,9,12,9,5,8,9,10,11,8];
paths[2285] = [2,2,7,1,2,0,4,0,0,0,0,0,9,12,9,5,8,9,10,12,6];
paths[2286] = [2,2,7,1,2,0,5,1,0,0,0,0,9,12,9,5,8,9,10,14,4];
paths[2287] = [2,2,6,2,2,0,5,0,0,0,0,0,9,12,9,5,8,9,11,11,7];
paths[2288] = [2,2,7,1,2,0,5,0,0,0,0,0,9,12,9,5,8,9,11,12,5];
paths[2289] = [2,2,6,3,2,0,4,1,0,0,0,0,9,12,9,5,8,9,12,11,6];
paths[2290] = [4,2,7,1,2,0,4,1,0,0,0,0,9,12,9,5,8,9,12,12,4];
paths[2291] = [2,2,6,3,2,0,4,0,0,0,0,0,9,12,9,5,8,9,13,9,7];
paths[2292] = [4,2,7,1,2,0,4,0,0,0,0,0,9,12,9,5,8,9,13,10,5];
paths[2293] = [4,2,7,1,2,0,5,1,0,0,0,0,9,12,9,5,8,9,13,12,3];
paths[2294] = [2,2,6,3,2,0,5,0,0,0,0,0,9,12,9,5,8,9,14,9,6];
paths[2295] = [4,2,7,1,2,0,5,0,0,0,0,0,9,12,9,5,8,9,14,10,4];
paths[2296] = [2,2,7,3,2,0,4,1,0,0,0,0,9,12,9,5,8,9,15,9,5];
paths[2297] = [2,2,7,3,2,0,4,0,0,0,0,0,9,12,9,5,8,9,16,7,6];
paths[2298] = [2,2,7,3,2,0,5,1,0,0,0,0,9,12,9,5,8,9,16,9,4];
paths[2299] = [2,2,7,3,2,0,5,0,0,0,0,0,9,12,9,5,8,9,17,7,5];
paths[2300] = [4,2,7,3,2,0,4,1,0,0,0,0,9,12,9,5,8,9,18,7,4];
paths[2301] = [4,2,7,3,2,0,4,0,0,0,0,0,9,12,9,5,8,9,19,5,5];
paths[2302] = [4,2,7,3,2,0,5,1,0,0,0,0,9,12,9,5,8,9,19,7,3];
paths[2303] = [4,2,7,3,2,0,5,0,0,0,0,0,9,12,9,5,8,9,20,5,4];
paths[2304] = [4,2,7,3,1,0,4,0,0,0,0,0,9,12,9,5,8,9,22,3,6];
paths[2305] = [4,2,7,3,1,0,5,0,0,0,0,0,9,12,9,5,8,9,23,3,5];
paths[2306] = [2,1,6,0,3,1,4,1,0,0,0,0,9,12,9,8,12,7,5,17,9];
paths[2307] = [2,1,6,1,3,1,4,1,0,0,0,0,9,12,9,8,12,7,5,18,7];
paths[2308] = [2,1,6,0,2,1,4,1,0,0,0,0,9,12,9,8,12,7,6,15,8];
paths[2309] = [2,1,6,1,2,1,4,1,0,0,0,0,9,12,9,8,12,7,6,16,6];
paths[2310] = [2,1,6,0,2,1,4,0,0,0,0,0,9,12,9,8,12,7,7,13,9];
paths[2311] = [2,1,6,1,2,1,4,0,0,0,0,0,9,12,9,8,12,7,7,14,7];
paths[2312] = [2,1,6,1,2,1,5,1,0,0,0,0,9,12,9,8,12,7,7,16,5];
paths[2313] = [2,1,6,0,2,1,5,0,0,0,0,0,9,12,9,8,12,7,8,13,8];
paths[2314] = [2,1,6,1,2,1,5,0,0,0,0,0,9,12,9,8,12,7,8,14,6];
paths[2315] = [2,1,6,2,2,1,4,1,0,0,0,0,9,12,9,8,12,7,9,13,7];
paths[2316] = [2,1,7,1,2,1,4,1,0,0,0,0,9,12,9,8,12,7,9,14,5];
paths[2317] = [2,1,6,2,2,1,4,0,0,0,0,0,9,12,9,8,12,7,10,11,8];
paths[2318] = [2,1,7,1,2,1,4,0,0,0,0,0,9,12,9,8,12,7,10,12,6];
paths[2319] = [2,1,7,1,2,1,5,1,0,0,0,0,9,12,9,8,12,7,10,14,4];
paths[2320] = [2,1,6,2,2,1,5,0,0,0,0,0,9,12,9,8,12,7,11,11,7];
paths[2321] = [2,1,7,1,2,1,5,0,0,0,0,0,9,12,9,8,12,7,11,12,5];
paths[2322] = [2,1,6,3,2,1,4,1,0,0,0,0,9,12,9,8,12,7,12,11,6];
paths[2323] = [4,1,7,1,2,1,4,1,0,0,0,0,9,12,9,8,12,7,12,12,4];
paths[2324] = [2,1,6,3,2,1,4,0,0,0,0,0,9,12,9,8,12,7,13,9,7];
paths[2325] = [4,1,7,1,2,1,4,0,0,0,0,0,9,12,9,8,12,7,13,10,5];
paths[2326] = [4,1,7,1,2,1,5,1,0,0,0,0,9,12,9,8,12,7,13,12,3];
paths[2327] = [2,1,6,3,2,1,5,0,0,0,0,0,9,12,9,8,12,7,14,9,6];
paths[2328] = [4,1,7,1,2,1,5,0,0,0,0,0,9,12,9,8,12,7,14,10,4];
paths[2329] = [2,1,7,3,2,1,4,1,0,0,0,0,9,12,9,8,12,7,15,9,5];
paths[2330] = [2,1,7,3,2,1,4,0,0,0,0,0,9,12,9,8,12,7,16,7,6];
paths[2331] = [2,1,7,3,2,1,5,1,0,0,0,0,9,12,9,8,12,7,16,9,4];
paths[2332] = [2,1,7,3,2,1,5,0,0,0,0,0,9,12,9,8,12,7,17,7,5];
paths[2333] = [4,1,7,3,2,1,4,1,0,0,0,0,9,12,9,8,12,7,18,7,4];
paths[2334] = [4,1,7,3,2,1,4,0,0,0,0,0,9,12,9,8,12,7,19,5,5];
paths[2335] = [4,1,7,3,2,1,5,1,0,0,0,0,9,12,9,8,12,7,19,7,3];
paths[2336] = [4,1,7,3,2,1,5,0,0,0,0,0,9,12,9,8,12,7,20,5,4];
paths[2337] = [4,1,7,3,1,1,4,0,0,0,0,0,9,12,9,8,12,7,22,3,6];
paths[2338] = [4,1,7,3,1,1,5,0,0,0,0,0,9,12,9,8,12,7,23,3,5];
paths[2339] = [2,1,6,0,3,3,4,1,0,0,0,0,9,12,9,10,6,11,5,17,9];
paths[2340] = [2,1,6,1,3,3,4,1,0,0,0,0,9,12,9,10,6,11,5,18,7];
paths[2341] = [2,1,6,0,2,3,4,1,0,0,0,0,9,12,9,10,6,11,6,15,8];
paths[2342] = [2,1,6,1,2,3,4,1,0,0,0,0,9,12,9,10,6,11,6,16,6];
paths[2343] = [2,1,6,0,2,3,4,0,0,0,0,0,9,12,9,10,6,11,7,13,9];
paths[2344] = [2,1,6,1,2,3,4,0,0,0,0,0,9,12,9,10,6,11,7,14,7];
paths[2345] = [2,1,6,1,2,3,5,1,0,0,0,0,9,12,9,10,6,11,7,16,5];
paths[2346] = [2,1,6,0,2,3,5,0,0,0,0,0,9,12,9,10,6,11,8,13,8];
paths[2347] = [2,1,6,1,2,3,5,0,0,0,0,0,9,12,9,10,6,11,8,14,6];
paths[2348] = [2,1,6,2,2,3,4,1,0,0,0,0,9,12,9,10,6,11,9,13,7];
paths[2349] = [2,1,7,1,2,3,4,1,0,0,0,0,9,12,9,10,6,11,9,14,5];
paths[2350] = [2,1,6,2,2,3,4,0,0,0,0,0,9,12,9,10,6,11,10,11,8];
paths[2351] = [2,1,7,1,2,3,4,0,0,0,0,0,9,12,9,10,6,11,10,12,6];
paths[2352] = [2,1,7,1,2,3,5,1,0,0,0,0,9,12,9,10,6,11,10,14,4];
paths[2353] = [2,1,6,2,2,3,5,0,0,0,0,0,9,12,9,10,6,11,11,11,7];
paths[2354] = [2,1,7,1,2,3,5,0,0,0,0,0,9,12,9,10,6,11,11,12,5];
paths[2355] = [2,1,6,3,2,3,4,1,0,0,0,0,9,12,9,10,6,11,12,11,6];
paths[2356] = [4,1,7,1,2,3,4,1,0,0,0,0,9,12,9,10,6,11,12,12,4];
paths[2357] = [2,1,6,3,2,3,4,0,0,0,0,0,9,12,9,10,6,11,13,9,7];
paths[2358] = [4,1,7,1,2,3,4,0,0,0,0,0,9,12,9,10,6,11,13,10,5];
paths[2359] = [4,1,7,1,2,3,5,1,0,0,0,0,9,12,9,10,6,11,13,12,3];
paths[2360] = [2,1,6,3,2,3,5,0,0,0,0,0,9,12,9,10,6,11,14,9,6];
paths[2361] = [4,1,7,1,2,3,5,0,0,0,0,0,9,12,9,10,6,11,14,10,4];
paths[2362] = [2,1,7,3,2,3,4,1,0,0,0,0,9,12,9,10,6,11,15,9,5];
paths[2363] = [2,1,7,3,2,3,4,0,0,0,0,0,9,12,9,10,6,11,16,7,6];
paths[2364] = [2,1,7,3,2,3,5,1,0,0,0,0,9,12,9,10,6,11,16,9,4];
paths[2365] = [2,1,7,3,2,3,5,0,0,0,0,0,9,12,9,10,6,11,17,7,5];
paths[2366] = [4,1,7,3,2,3,4,1,0,0,0,0,9,12,9,10,6,11,18,7,4];
paths[2367] = [4,1,7,3,2,3,4,0,0,0,0,0,9,12,9,10,6,11,19,5,5];
paths[2368] = [4,1,7,3,2,3,5,1,0,0,0,0,9,12,9,10,6,11,19,7,3];
paths[2369] = [4,1,7,3,2,3,5,0,0,0,0,0,9,12,9,10,6,11,20,5,4];
paths[2370] = [4,1,7,3,1,3,4,0,0,0,0,0,9,12,9,10,6,11,22,3,6];
paths[2371] = [4,1,7,3,1,3,5,0,0,0,0,0,9,12,9,10,6,11,23,3,5];
paths[2372] = [0,0,1,0,3,1,0,1,1,0,0,0,11,5,15,2,17,8,5,17,9];
paths[2373] = [0,0,1,1,3,1,0,1,1,0,0,0,11,5,15,2,17,8,5,18,7];
paths[2374] = [1,0,3,3,1,1,0,0,1,0,0,0,11,5,15,2,17,8,22,3,6];
paths[2375] = [1,0,3,3,1,1,1,0,1,0,0,0,11,5,15,2,17,8,23,3,5];
paths[2376] = [2,0,1,0,3,1,0,1,1,0,0,0,11,5,15,3,13,6,5,17,9];
paths[2377] = [2,0,1,1,3,1,0,1,1,0,0,0,11,5,15,3,13,6,5,18,7];
paths[2378] = [4,0,3,3,1,1,0,0,1,0,0,0,11,5,15,3,13,6,22,3,6];
paths[2379] = [4,0,3,3,1,1,1,0,1,0,0,0,11,5,15,3,13,6,23,3,5];
paths[2380] = [2,0,1,0,3,2,0,1,1,0,0,0,11,5,15,4,9,8,5,17,9];
paths[2381] = [2,0,1,1,3,2,0,1,1,0,0,0,11,5,15,4,9,8,5,18,7];
paths[2382] = [4,0,3,3,1,2,0,0,1,0,0,0,11,5,15,4,9,8,22,3,6];
paths[2383] = [4,0,3,3,1,2,1,0,1,0,0,0,11,5,15,4,9,8,23,3,5];
paths[2384] = [2,0,1,0,3,3,0,1,1,0,0,0,11,5,15,5,7,10,5,17,9];
paths[2385] = [2,0,1,1,3,3,0,1,1,0,0,0,11,5,15,5,7,10,5,18,7];
paths[2386] = [4,0,3,3,1,3,0,0,1,0,0,0,11,5,15,5,7,10,22,3,6];
paths[2387] = [4,0,3,3,1,3,1,0,1,0,0,0,11,5,15,5,7,10,23,3,5];
paths[2388] = [2,0,1,0,3,0,0,1,1,0,0,0,11,5,15,5,8,9,5,17,9];
paths[2389] = [2,0,1,1,3,0,0,1,1,0,0,0,11,5,15,5,8,9,5,18,7];
paths[2390] = [4,0,3,3,1,0,0,0,1,0,0,0,11,5,15,5,8,9,22,3,6];
paths[2391] = [4,0,3,3,1,0,1,0,1,0,0,0,11,5,15,5,8,9,23,3,5];
paths[2392] = [2,0,4,0,3,1,0,1,1,0,0,0,11,5,15,8,14,5,5,17,9];
paths[2393] = [2,0,4,1,3,1,0,1,1,0,0,0,11,5,15,8,14,5,5,18,7];
paths[2394] = [4,0,5,3,1,1,0,0,1,0,0,0,11,5,15,8,14,5,22,3,6];
paths[2395] = [4,0,5,3,1,1,1,0,1,0,0,0,11,5,15,8,14,5,23,3,5];
paths[2396] = [2,0,4,0,3,2,0,1,1,0,0,0,11,5,15,9,10,7,5,17,9];
paths[2397] = [2,0,4,1,3,2,0,1,1,0,0,0,11,5,15,9,10,7,5,18,7];
paths[2398] = [4,0,5,3,1,2,0,0,1,0,0,0,11,5,15,9,10,7,22,3,6];
paths[2399] = [4,0,5,3,1,2,1,0,1,0,0,0,11,5,15,9,10,7,23,3,5];
paths[2400] = [0,2,6,0,3,1,4,1,1,0,0,0,11,9,11,2,17,8,5,17,9];
paths[2401] = [0,2,6,1,3,1,4,1,1,0,0,0,11,9,11,2,17,8,5,18,7];
paths[2402] = [0,2,6,0,2,1,4,1,1,0,0,0,11,9,11,2,17,8,6,15,8];
paths[2403] = [0,2,6,1,2,1,4,1,1,0,0,0,11,9,11,2,17,8,6,16,6];
paths[2404] = [0,2,6,0,2,1,4,0,1,0,0,0,11,9,11,2,17,8,7,13,9];
paths[2405] = [0,2,6,1,2,1,4,0,1,0,0,0,11,9,11,2,17,8,7,14,7];
paths[2406] = [0,2,6,1,2,1,5,1,1,0,0,0,11,9,11,2,17,8,7,16,5];
paths[2407] = [0,2,6,0,2,1,5,0,1,0,0,0,11,9,11,2,17,8,8,13,8];
paths[2408] = [0,2,6,1,2,1,5,0,1,0,0,0,11,9,11,2,17,8,8,14,6];
paths[2409] = [0,2,6,2,2,1,4,1,1,0,0,0,11,9,11,2,17,8,9,13,7];
paths[2410] = [0,2,7,1,2,1,4,1,1,0,0,0,11,9,11,2,17,8,9,14,5];
paths[2411] = [0,2,6,2,2,1,4,0,1,0,0,0,11,9,11,2,17,8,10,11,8];
paths[2412] = [0,2,7,1,2,1,4,0,1,0,0,0,11,9,11,2,17,8,10,12,6];
paths[2413] = [0,2,7,1,2,1,5,1,1,0,0,0,11,9,11,2,17,8,10,14,4];
paths[2414] = [0,2,6,2,2,1,5,0,1,0,0,0,11,9,11,2,17,8,11,11,7];
paths[2415] = [0,2,7,1,2,1,5,0,1,0,0,0,11,9,11,2,17,8,11,12,5];
paths[2416] = [0,2,6,3,2,1,4,1,1,0,0,0,11,9,11,2,17,8,12,11,6];
paths[2417] = [1,2,7,1,2,1,4,1,1,0,0,0,11,9,11,2,17,8,12,12,4];
paths[2418] = [0,2,6,3,2,1,4,0,1,0,0,0,11,9,11,2,17,8,13,9,7];
paths[2419] = [1,2,7,1,2,1,4,0,1,0,0,0,11,9,11,2,17,8,13,10,5];
paths[2420] = [1,2,7,1,2,1,5,1,1,0,0,0,11,9,11,2,17,8,13,12,3];
paths[2421] = [0,2,6,3,2,1,5,0,1,0,0,0,11,9,11,2,17,8,14,9,6];
paths[2422] = [1,2,7,1,2,1,5,0,1,0,0,0,11,9,11,2,17,8,14,10,4];
paths[2423] = [0,2,7,3,2,1,4,1,1,0,0,0,11,9,11,2,17,8,15,9,5];
paths[2424] = [0,2,7,3,2,1,4,0,1,0,0,0,11,9,11,2,17,8,16,7,6];
paths[2425] = [0,2,7,3,2,1,5,1,1,0,0,0,11,9,11,2,17,8,16,9,4];
paths[2426] = [0,2,7,3,2,1,5,0,1,0,0,0,11,9,11,2,17,8,17,7,5];
paths[2427] = [1,2,7,3,2,1,4,1,1,0,0,0,11,9,11,2,17,8,18,7,4];
paths[2428] = [1,2,7,3,2,1,4,0,1,0,0,0,11,9,11,2,17,8,19,5,5];
paths[2429] = [1,2,7,3,2,1,5,1,1,0,0,0,11,9,11,2,17,8,19,7,3];
paths[2430] = [1,2,7,3,2,1,5,0,1,0,0,0,11,9,11,2,17,8,20,5,4];
paths[2431] = [1,2,7,3,1,1,4,0,1,0,0,0,11,9,11,2,17,8,22,3,6];
paths[2432] = [1,2,7,3,1,1,5,0,1,0,0,0,11,9,11,2,17,8,23,3,5];
paths[2433] = [2,2,6,0,3,1,4,1,1,0,0,0,11,9,11,3,13,6,5,17,9];
paths[2434] = [2,2,6,1,3,1,4,1,1,0,0,0,11,9,11,3,13,6,5,18,7];
paths[2435] = [2,2,6,0,2,1,4,1,1,0,0,0,11,9,11,3,13,6,6,15,8];
paths[2436] = [2,2,6,1,2,1,4,1,1,0,0,0,11,9,11,3,13,6,6,16,6];
paths[2437] = [2,2,6,0,2,1,4,0,1,0,0,0,11,9,11,3,13,6,7,13,9];
paths[2438] = [2,2,6,1,2,1,4,0,1,0,0,0,11,9,11,3,13,6,7,14,7];
paths[2439] = [2,2,6,1,2,1,5,1,1,0,0,0,11,9,11,3,13,6,7,16,5];
paths[2440] = [2,2,6,0,2,1,5,0,1,0,0,0,11,9,11,3,13,6,8,13,8];
paths[2441] = [2,2,6,1,2,1,5,0,1,0,0,0,11,9,11,3,13,6,8,14,6];
paths[2442] = [2,2,6,2,2,1,4,1,1,0,0,0,11,9,11,3,13,6,9,13,7];
paths[2443] = [2,2,7,1,2,1,4,1,1,0,0,0,11,9,11,3,13,6,9,14,5];
paths[2444] = [2,2,6,2,2,1,4,0,1,0,0,0,11,9,11,3,13,6,10,11,8];
paths[2445] = [2,2,7,1,2,1,4,0,1,0,0,0,11,9,11,3,13,6,10,12,6];
paths[2446] = [2,2,7,1,2,1,5,1,1,0,0,0,11,9,11,3,13,6,10,14,4];
paths[2447] = [2,2,6,2,2,1,5,0,1,0,0,0,11,9,11,3,13,6,11,11,7];
paths[2448] = [2,2,7,1,2,1,5,0,1,0,0,0,11,9,11,3,13,6,11,12,5];
paths[2449] = [2,2,6,3,2,1,4,1,1,0,0,0,11,9,11,3,13,6,12,11,6];
paths[2450] = [4,2,7,1,2,1,4,1,1,0,0,0,11,9,11,3,13,6,12,12,4];
paths[2451] = [2,2,6,3,2,1,4,0,1,0,0,0,11,9,11,3,13,6,13,9,7];
paths[2452] = [4,2,7,1,2,1,4,0,1,0,0,0,11,9,11,3,13,6,13,10,5];
paths[2453] = [4,2,7,1,2,1,5,1,1,0,0,0,11,9,11,3,13,6,13,12,3];
paths[2454] = [2,2,6,3,2,1,5,0,1,0,0,0,11,9,11,3,13,6,14,9,6];
paths[2455] = [4,2,7,1,2,1,5,0,1,0,0,0,11,9,11,3,13,6,14,10,4];
paths[2456] = [2,2,7,3,2,1,4,1,1,0,0,0,11,9,11,3,13,6,15,9,5];
paths[2457] = [2,2,7,3,2,1,4,0,1,0,0,0,11,9,11,3,13,6,16,7,6];
paths[2458] = [2,2,7,3,2,1,5,1,1,0,0,0,11,9,11,3,13,6,16,9,4];
paths[2459] = [2,2,7,3,2,1,5,0,1,0,0,0,11,9,11,3,13,6,17,7,5];
paths[2460] = [4,2,7,3,2,1,4,1,1,0,0,0,11,9,11,3,13,6,18,7,4];
paths[2461] = [4,2,7,3,2,1,4,0,1,0,0,0,11,9,11,3,13,6,19,5,5];
paths[2462] = [4,2,7,3,2,1,5,1,1,0,0,0,11,9,11,3,13,6,19,7,3];
paths[2463] = [4,2,7,3,2,1,5,0,1,0,0,0,11,9,11,3,13,6,20,5,4];
paths[2464] = [4,2,7,3,1,1,4,0,1,0,0,0,11,9,11,3,13,6,22,3,6];
paths[2465] = [4,2,7,3,1,1,5,0,1,0,0,0,11,9,11,3,13,6,23,3,5];
paths[2466] = [2,2,6,0,3,2,4,1,1,0,0,0,11,9,11,4,9,8,5,17,9];
paths[2467] = [2,2,6,1,3,2,4,1,1,0,0,0,11,9,11,4,9,8,5,18,7];
paths[2468] = [2,2,6,0,2,2,4,1,1,0,0,0,11,9,11,4,9,8,6,15,8];
paths[2469] = [2,2,6,1,2,2,4,1,1,0,0,0,11,9,11,4,9,8,6,16,6];
paths[2470] = [2,2,6,0,2,2,4,0,1,0,0,0,11,9,11,4,9,8,7,13,9];
paths[2471] = [2,2,6,1,2,2,4,0,1,0,0,0,11,9,11,4,9,8,7,14,7];
paths[2472] = [2,2,6,1,2,2,5,1,1,0,0,0,11,9,11,4,9,8,7,16,5];
paths[2473] = [2,2,6,0,2,2,5,0,1,0,0,0,11,9,11,4,9,8,8,13,8];
paths[2474] = [2,2,6,1,2,2,5,0,1,0,0,0,11,9,11,4,9,8,8,14,6];
paths[2475] = [2,2,6,2,2,2,4,1,1,0,0,0,11,9,11,4,9,8,9,13,7];
paths[2476] = [2,2,7,1,2,2,4,1,1,0,0,0,11,9,11,4,9,8,9,14,5];
paths[2477] = [2,2,6,2,2,2,4,0,1,0,0,0,11,9,11,4,9,8,10,11,8];
paths[2478] = [2,2,7,1,2,2,4,0,1,0,0,0,11,9,11,4,9,8,10,12,6];
paths[2479] = [2,2,7,1,2,2,5,1,1,0,0,0,11,9,11,4,9,8,10,14,4];
paths[2480] = [2,2,6,2,2,2,5,0,1,0,0,0,11,9,11,4,9,8,11,11,7];
paths[2481] = [2,2,7,1,2,2,5,0,1,0,0,0,11,9,11,4,9,8,11,12,5];
paths[2482] = [2,2,6,3,2,2,4,1,1,0,0,0,11,9,11,4,9,8,12,11,6];
paths[2483] = [4,2,7,1,2,2,4,1,1,0,0,0,11,9,11,4,9,8,12,12,4];
paths[2484] = [2,2,6,3,2,2,4,0,1,0,0,0,11,9,11,4,9,8,13,9,7];
paths[2485] = [4,2,7,1,2,2,4,0,1,0,0,0,11,9,11,4,9,8,13,10,5];
paths[2486] = [4,2,7,1,2,2,5,1,1,0,0,0,11,9,11,4,9,8,13,12,3];
paths[2487] = [2,2,6,3,2,2,5,0,1,0,0,0,11,9,11,4,9,8,14,9,6];
paths[2488] = [4,2,7,1,2,2,5,0,1,0,0,0,11,9,11,4,9,8,14,10,4];
paths[2489] = [2,2,7,3,2,2,4,1,1,0,0,0,11,9,11,4,9,8,15,9,5];
paths[2490] = [2,2,7,3,2,2,4,0,1,0,0,0,11,9,11,4,9,8,16,7,6];
paths[2491] = [2,2,7,3,2,2,5,1,1,0,0,0,11,9,11,4,9,8,16,9,4];
paths[2492] = [2,2,7,3,2,2,5,0,1,0,0,0,11,9,11,4,9,8,17,7,5];
paths[2493] = [4,2,7,3,2,2,4,1,1,0,0,0,11,9,11,4,9,8,18,7,4];
paths[2494] = [4,2,7,3,2,2,4,0,1,0,0,0,11,9,11,4,9,8,19,5,5];
paths[2495] = [4,2,7,3,2,2,5,1,1,0,0,0,11,9,11,4,9,8,19,7,3];
paths[2496] = [4,2,7,3,2,2,5,0,1,0,0,0,11,9,11,4,9,8,20,5,4];
paths[2497] = [4,2,7,3,1,2,4,0,1,0,0,0,11,9,11,4,9,8,22,3,6];
paths[2498] = [4,2,7,3,1,2,5,0,1,0,0,0,11,9,11,4,9,8,23,3,5];
paths[2499] = [2,2,6,0,3,3,4,1,1,0,0,0,11,9,11,5,7,10,5,17,9];
paths[2500] = [2,2,6,1,3,3,4,1,1,0,0,0,11,9,11,5,7,10,5,18,7];
paths[2501] = [2,2,6,0,2,3,4,1,1,0,0,0,11,9,11,5,7,10,6,15,8];
paths[2502] = [2,2,6,1,2,3,4,1,1,0,0,0,11,9,11,5,7,10,6,16,6];
paths[2503] = [2,2,6,0,2,3,4,0,1,0,0,0,11,9,11,5,7,10,7,13,9];
paths[2504] = [2,2,6,1,2,3,4,0,1,0,0,0,11,9,11,5,7,10,7,14,7];
paths[2505] = [2,2,6,1,2,3,5,1,1,0,0,0,11,9,11,5,7,10,7,16,5];
paths[2506] = [2,2,6,0,2,3,5,0,1,0,0,0,11,9,11,5,7,10,8,13,8];
paths[2507] = [2,2,6,1,2,3,5,0,1,0,0,0,11,9,11,5,7,10,8,14,6];
paths[2508] = [2,2,6,2,2,3,4,1,1,0,0,0,11,9,11,5,7,10,9,13,7];
paths[2509] = [2,2,7,1,2,3,4,1,1,0,0,0,11,9,11,5,7,10,9,14,5];
paths[2510] = [2,2,6,2,2,3,4,0,1,0,0,0,11,9,11,5,7,10,10,11,8];
paths[2511] = [2,2,7,1,2,3,4,0,1,0,0,0,11,9,11,5,7,10,10,12,6];
paths[2512] = [2,2,7,1,2,3,5,1,1,0,0,0,11,9,11,5,7,10,10,14,4];
paths[2513] = [2,2,6,2,2,3,5,0,1,0,0,0,11,9,11,5,7,10,11,11,7];
paths[2514] = [2,2,7,1,2,3,5,0,1,0,0,0,11,9,11,5,7,10,11,12,5];
paths[2515] = [2,2,6,3,2,3,4,1,1,0,0,0,11,9,11,5,7,10,12,11,6];
paths[2516] = [4,2,7,1,2,3,4,1,1,0,0,0,11,9,11,5,7,10,12,12,4];
paths[2517] = [2,2,6,3,2,3,4,0,1,0,0,0,11,9,11,5,7,10,13,9,7];
paths[2518] = [4,2,7,1,2,3,4,0,1,0,0,0,11,9,11,5,7,10,13,10,5];
paths[2519] = [4,2,7,1,2,3,5,1,1,0,0,0,11,9,11,5,7,10,13,12,3];
paths[2520] = [2,2,6,3,2,3,5,0,1,0,0,0,11,9,11,5,7,10,14,9,6];
paths[2521] = [4,2,7,1,2,3,5,0,1,0,0,0,11,9,11,5,7,10,14,10,4];
paths[2522] = [2,2,7,3,2,3,4,1,1,0,0,0,11,9,11,5,7,10,15,9,5];
paths[2523] = [2,2,7,3,2,3,4,0,1,0,0,0,11,9,11,5,7,10,16,7,6];
paths[2524] = [2,2,7,3,2,3,5,1,1,0,0,0,11,9,11,5,7,10,16,9,4];
paths[2525] = [2,2,7,3,2,3,5,0,1,0,0,0,11,9,11,5,7,10,17,7,5];
paths[2526] = [4,2,7,3,2,3,4,1,1,0,0,0,11,9,11,5,7,10,18,7,4];
paths[2527] = [4,2,7,3,2,3,4,0,1,0,0,0,11,9,11,5,7,10,19,5,5];
paths[2528] = [4,2,7,3,2,3,5,1,1,0,0,0,11,9,11,5,7,10,19,7,3];
paths[2529] = [4,2,7,3,2,3,5,0,1,0,0,0,11,9,11,5,7,10,20,5,4];
paths[2530] = [4,2,7,3,1,3,4,0,1,0,0,0,11,9,11,5,7,10,22,3,6];
paths[2531] = [4,2,7,3,1,3,5,0,1,0,0,0,11,9,11,5,7,10,23,3,5];
paths[2532] = [2,2,6,0,3,0,4,1,1,0,0,0,11,9,11,5,8,9,5,17,9];
paths[2533] = [2,2,6,1,3,0,4,1,1,0,0,0,11,9,11,5,8,9,5,18,7];
paths[2534] = [2,2,6,0,2,0,4,1,1,0,0,0,11,9,11,5,8,9,6,15,8];
paths[2535] = [2,2,6,1,2,0,4,1,1,0,0,0,11,9,11,5,8,9,6,16,6];
paths[2536] = [2,2,6,0,2,0,4,0,1,0,0,0,11,9,11,5,8,9,7,13,9];
paths[2537] = [2,2,6,1,2,0,4,0,1,0,0,0,11,9,11,5,8,9,7,14,7];
paths[2538] = [2,2,6,1,2,0,5,1,1,0,0,0,11,9,11,5,8,9,7,16,5];
paths[2539] = [2,2,6,0,2,0,5,0,1,0,0,0,11,9,11,5,8,9,8,13,8];
paths[2540] = [2,2,6,1,2,0,5,0,1,0,0,0,11,9,11,5,8,9,8,14,6];
paths[2541] = [2,2,6,2,2,0,4,1,1,0,0,0,11,9,11,5,8,9,9,13,7];
paths[2542] = [2,2,7,1,2,0,4,1,1,0,0,0,11,9,11,5,8,9,9,14,5];
paths[2543] = [2,2,6,2,2,0,4,0,1,0,0,0,11,9,11,5,8,9,10,11,8];
paths[2544] = [2,2,7,1,2,0,4,0,1,0,0,0,11,9,11,5,8,9,10,12,6];
paths[2545] = [2,2,7,1,2,0,5,1,1,0,0,0,11,9,11,5,8,9,10,14,4];
paths[2546] = [2,2,6,2,2,0,5,0,1,0,0,0,11,9,11,5,8,9,11,11,7];
paths[2547] = [2,2,7,1,2,0,5,0,1,0,0,0,11,9,11,5,8,9,11,12,5];
paths[2548] = [2,2,6,3,2,0,4,1,1,0,0,0,11,9,11,5,8,9,12,11,6];
paths[2549] = [4,2,7,1,2,0,4,1,1,0,0,0,11,9,11,5,8,9,12,12,4];
paths[2550] = [2,2,6,3,2,0,4,0,1,0,0,0,11,9,11,5,8,9,13,9,7];
paths[2551] = [4,2,7,1,2,0,4,0,1,0,0,0,11,9,11,5,8,9,13,10,5];
paths[2552] = [4,2,7,1,2,0,5,1,1,0,0,0,11,9,11,5,8,9,13,12,3];
paths[2553] = [2,2,6,3,2,0,5,0,1,0,0,0,11,9,11,5,8,9,14,9,6];
paths[2554] = [4,2,7,1,2,0,5,0,1,0,0,0,11,9,11,5,8,9,14,10,4];
paths[2555] = [2,2,7,3,2,0,4,1,1,0,0,0,11,9,11,5,8,9,15,9,5];
paths[2556] = [2,2,7,3,2,0,4,0,1,0,0,0,11,9,11,5,8,9,16,7,6];
paths[2557] = [2,2,7,3,2,0,5,1,1,0,0,0,11,9,11,5,8,9,16,9,4];
paths[2558] = [2,2,7,3,2,0,5,0,1,0,0,0,11,9,11,5,8,9,17,7,5];
paths[2559] = [4,2,7,3,2,0,4,1,1,0,0,0,11,9,11,5,8,9,18,7,4];
paths[2560] = [4,2,7,3,2,0,4,0,1,0,0,0,11,9,11,5,8,9,19,5,5];
paths[2561] = [4,2,7,3,2,0,5,1,1,0,0,0,11,9,11,5,8,9,19,7,3];
paths[2562] = [4,2,7,3,2,0,5,0,1,0,0,0,11,9,11,5,8,9,20,5,4];
paths[2563] = [4,2,7,3,1,0,4,0,1,0,0,0,11,9,11,5,8,9,22,3,6];
paths[2564] = [4,2,7,3,1,0,5,0,1,0,0,0,11,9,11,5,8,9,23,3,5];
paths[2565] = [2,1,6,0,3,1,4,1,1,0,0,0,11,9,11,8,12,7,5,17,9];
paths[2566] = [2,1,6,1,3,1,4,1,1,0,0,0,11,9,11,8,12,7,5,18,7];
paths[2567] = [2,1,6,0,2,1,4,1,1,0,0,0,11,9,11,8,12,7,6,15,8];
paths[2568] = [2,1,6,1,2,1,4,1,1,0,0,0,11,9,11,8,12,7,6,16,6];
paths[2569] = [2,1,6,0,2,1,4,0,1,0,0,0,11,9,11,8,12,7,7,13,9];
paths[2570] = [2,1,6,1,2,1,4,0,1,0,0,0,11,9,11,8,12,7,7,14,7];
paths[2571] = [2,1,6,1,2,1,5,1,1,0,0,0,11,9,11,8,12,7,7,16,5];
paths[2572] = [2,1,6,0,2,1,5,0,1,0,0,0,11,9,11,8,12,7,8,13,8];
paths[2573] = [2,1,6,1,2,1,5,0,1,0,0,0,11,9,11,8,12,7,8,14,6];
paths[2574] = [2,1,6,2,2,1,4,1,1,0,0,0,11,9,11,8,12,7,9,13,7];
paths[2575] = [2,1,7,1,2,1,4,1,1,0,0,0,11,9,11,8,12,7,9,14,5];
paths[2576] = [2,1,6,2,2,1,4,0,1,0,0,0,11,9,11,8,12,7,10,11,8];
paths[2577] = [2,1,7,1,2,1,4,0,1,0,0,0,11,9,11,8,12,7,10,12,6];
paths[2578] = [2,1,7,1,2,1,5,1,1,0,0,0,11,9,11,8,12,7,10,14,4];
paths[2579] = [2,1,6,2,2,1,5,0,1,0,0,0,11,9,11,8,12,7,11,11,7];
paths[2580] = [2,1,7,1,2,1,5,0,1,0,0,0,11,9,11,8,12,7,11,12,5];
paths[2581] = [2,1,6,3,2,1,4,1,1,0,0,0,11,9,11,8,12,7,12,11,6];
paths[2582] = [4,1,7,1,2,1,4,1,1,0,0,0,11,9,11,8,12,7,12,12,4];
paths[2583] = [2,1,6,3,2,1,4,0,1,0,0,0,11,9,11,8,12,7,13,9,7];
paths[2584] = [4,1,7,1,2,1,4,0,1,0,0,0,11,9,11,8,12,7,13,10,5];
paths[2585] = [4,1,7,1,2,1,5,1,1,0,0,0,11,9,11,8,12,7,13,12,3];
paths[2586] = [2,1,6,3,2,1,5,0,1,0,0,0,11,9,11,8,12,7,14,9,6];
paths[2587] = [4,1,7,1,2,1,5,0,1,0,0,0,11,9,11,8,12,7,14,10,4];
paths[2588] = [2,1,7,3,2,1,4,1,1,0,0,0,11,9,11,8,12,7,15,9,5];
paths[2589] = [2,1,7,3,2,1,4,0,1,0,0,0,11,9,11,8,12,7,16,7,6];
paths[2590] = [2,1,7,3,2,1,5,1,1,0,0,0,11,9,11,8,12,7,16,9,4];
paths[2591] = [2,1,7,3,2,1,5,0,1,0,0,0,11,9,11,8,12,7,17,7,5];
paths[2592] = [4,1,7,3,2,1,4,1,1,0,0,0,11,9,11,8,12,7,18,7,4];
paths[2593] = [4,1,7,3,2,1,4,0,1,0,0,0,11,9,11,8,12,7,19,5,5];
paths[2594] = [4,1,7,3,2,1,5,1,1,0,0,0,11,9,11,8,12,7,19,7,3];
paths[2595] = [4,1,7,3,2,1,5,0,1,0,0,0,11,9,11,8,12,7,20,5,4];
paths[2596] = [4,1,7,3,1,1,4,0,1,0,0,0,11,9,11,8,12,7,22,3,6];
paths[2597] = [4,1,7,3,1,1,5,0,1,0,0,0,11,9,11,8,12,7,23,3,5];
paths[2598] = [2,1,6,0,3,3,4,1,1,0,0,0,11,9,11,10,6,11,5,17,9];
paths[2599] = [2,1,6,1,3,3,4,1,1,0,0,0,11,9,11,10,6,11,5,18,7];
paths[2600] = [2,1,6,0,2,3,4,1,1,0,0,0,11,9,11,10,6,11,6,15,8];
paths[2601] = [2,1,6,1,2,3,4,1,1,0,0,0,11,9,11,10,6,11,6,16,6];
paths[2602] = [2,1,6,0,2,3,4,0,1,0,0,0,11,9,11,10,6,11,7,13,9];
paths[2603] = [2,1,6,1,2,3,4,0,1,0,0,0,11,9,11,10,6,11,7,14,7];
paths[2604] = [2,1,6,1,2,3,5,1,1,0,0,0,11,9,11,10,6,11,7,16,5];
paths[2605] = [2,1,6,0,2,3,5,0,1,0,0,0,11,9,11,10,6,11,8,13,8];
paths[2606] = [2,1,6,1,2,3,5,0,1,0,0,0,11,9,11,10,6,11,8,14,6];
paths[2607] = [2,1,6,2,2,3,4,1,1,0,0,0,11,9,11,10,6,11,9,13,7];
paths[2608] = [2,1,7,1,2,3,4,1,1,0,0,0,11,9,11,10,6,11,9,14,5];
paths[2609] = [2,1,6,2,2,3,4,0,1,0,0,0,11,9,11,10,6,11,10,11,8];
paths[2610] = [2,1,7,1,2,3,4,0,1,0,0,0,11,9,11,10,6,11,10,12,6];
paths[2611] = [2,1,7,1,2,3,5,1,1,0,0,0,11,9,11,10,6,11,10,14,4];
paths[2612] = [2,1,6,2,2,3,5,0,1,0,0,0,11,9,11,10,6,11,11,11,7];
paths[2613] = [2,1,7,1,2,3,5,0,1,0,0,0,11,9,11,10,6,11,11,12,5];
paths[2614] = [2,1,6,3,2,3,4,1,1,0,0,0,11,9,11,10,6,11,12,11,6];
paths[2615] = [4,1,7,1,2,3,4,1,1,0,0,0,11,9,11,10,6,11,12,12,4];
paths[2616] = [2,1,6,3,2,3,4,0,1,0,0,0,11,9,11,10,6,11,13,9,7];
paths[2617] = [4,1,7,1,2,3,4,0,1,0,0,0,11,9,11,10,6,11,13,10,5];
paths[2618] = [4,1,7,1,2,3,5,1,1,0,0,0,11,9,11,10,6,11,13,12,3];
paths[2619] = [2,1,6,3,2,3,5,0,1,0,0,0,11,9,11,10,6,11,14,9,6];
paths[2620] = [4,1,7,1,2,3,5,0,1,0,0,0,11,9,11,10,6,11,14,10,4];
paths[2621] = [2,1,7,3,2,3,4,1,1,0,0,0,11,9,11,10,6,11,15,9,5];
paths[2622] = [2,1,7,3,2,3,4,0,1,0,0,0,11,9,11,10,6,11,16,7,6];
paths[2623] = [2,1,7,3,2,3,5,1,1,0,0,0,11,9,11,10,6,11,16,9,4];
paths[2624] = [2,1,7,3,2,3,5,0,1,0,0,0,11,9,11,10,6,11,17,7,5];
paths[2625] = [4,1,7,3,2,3,4,1,1,0,0,0,11,9,11,10,6,11,18,7,4];
paths[2626] = [4,1,7,3,2,3,4,0,1,0,0,0,11,9,11,10,6,11,19,5,5];
paths[2627] = [4,1,7,3,2,3,5,1,1,0,0,0,11,9,11,10,6,11,19,7,3];
paths[2628] = [4,1,7,3,2,3,5,0,1,0,0,0,11,9,11,10,6,11,20,5,4];
paths[2629] = [4,1,7,3,1,3,4,0,1,0,0,0,11,9,11,10,6,11,22,3,6];
paths[2630] = [4,1,7,3,1,3,5,0,1,0,0,0,11,9,11,10,6,11,23,3,5];
paths[2631] = [0,0,1,0,0,1,0,1,1,0,0,0,12,4,16,2,17,8,6,15,8];
paths[2632] = [0,0,1,1,0,1,0,1,1,0,0,0,12,4,16,2,17,8,6,16,6];
paths[2633] = [0,0,1,0,0,1,0,0,1,0,0,0,12,4,16,2,17,8,7,13,9];
paths[2634] = [0,0,1,1,0,1,0,0,1,0,0,0,12,4,16,2,17,8,7,14,7];
paths[2635] = [0,0,1,1,0,1,1,1,1,0,0,0,12,4,16,2,17,8,7,16,5];
paths[2636] = [0,0,1,0,0,1,1,0,1,0,0,0,12,4,16,2,17,8,8,13,8];
paths[2637] = [0,0,1,1,0,1,1,0,1,0,0,0,12,4,16,2,17,8,8,14,6];
paths[2638] = [0,0,0,1,0,1,1,1,1,0,0,0,12,4,16,2,17,8,8,19,4];
paths[2639] = [0,0,1,2,0,1,0,1,1,0,0,0,12,4,16,2,17,8,9,13,7];
paths[2640] = [0,0,3,1,0,1,0,1,1,0,0,0,12,4,16,2,17,8,9,14,5];
paths[2641] = [0,0,1,2,0,1,0,0,1,0,0,0,12,4,16,2,17,8,10,11,8];
paths[2642] = [0,0,3,1,0,1,0,0,1,0,0,0,12,4,16,2,17,8,10,12,6];
paths[2643] = [0,0,3,1,0,1,1,1,1,0,0,0,12,4,16,2,17,8,10,14,4];
paths[2644] = [0,0,1,2,0,1,1,0,1,0,0,0,12,4,16,2,17,8,11,11,7];
paths[2645] = [0,0,3,1,0,1,1,0,1,0,0,0,12,4,16,2,17,8,11,12,5];
paths[2646] = [1,0,0,1,0,1,1,1,1,0,0,0,12,4,16,2,17,8,11,17,3];
paths[2647] = [0,0,1,3,0,1,0,1,1,0,0,0,12,4,16,2,17,8,12,11,6];
paths[2648] = [1,0,3,1,0,1,0,1,1,0,0,0,12,4,16,2,17,8,12,12,4];
paths[2649] = [0,0,1,3,0,1,0,0,1,0,0,0,12,4,16,2,17,8,13,9,7];
paths[2650] = [1,0,3,1,0,1,0,0,1,0,0,0,12,4,16,2,17,8,13,10,5];
paths[2651] = [1,0,3,1,0,1,1,1,1,0,0,0,12,4,16,2,17,8,13,12,3];
paths[2652] = [0,0,1,3,0,1,1,0,1,0,0,0,12,4,16,2,17,8,14,9,6];
paths[2653] = [1,0,3,1,0,1,1,0,1,0,0,0,12,4,16,2,17,8,14,10,4];
paths[2654] = [0,0,3,3,0,1,0,1,1,0,0,0,12,4,16,2,17,8,15,9,5];
paths[2655] = [0,0,3,3,0,1,0,0,1,0,0,0,12,4,16,2,17,8,16,7,6];
paths[2656] = [0,0,3,3,0,1,1,1,1,0,0,0,12,4,16,2,17,8,16,9,4];
paths[2657] = [0,0,3,3,0,1,1,0,1,0,0,0,12,4,16,2,17,8,17,7,5];
paths[2658] = [1,0,3,3,0,1,0,1,1,0,0,0,12,4,16,2,17,8,18,7,4];
paths[2659] = [1,0,3,3,0,1,0,0,1,0,0,0,12,4,16,2,17,8,19,5,5];
paths[2660] = [1,0,3,3,0,1,1,1,1,0,0,0,12,4,16,2,17,8,19,7,3];
paths[2661] = [1,0,3,3,0,1,1,0,1,0,0,0,12,4,16,2,17,8,20,5,4];
paths[2662] = [2,0,1,0,0,1,0,1,1,0,0,0,12,4,16,3,13,6,6,15,8];
paths[2663] = [2,0,1,1,0,1,0,1,1,0,0,0,12,4,16,3,13,6,6,16,6];
paths[2664] = [2,0,1,0,0,1,0,0,1,0,0,0,12,4,16,3,13,6,7,13,9];
paths[2665] = [2,0,1,1,0,1,0,0,1,0,0,0,12,4,16,3,13,6,7,14,7];
paths[2666] = [2,0,1,1,0,1,1,1,1,0,0,0,12,4,16,3,13,6,7,16,5];
paths[2667] = [2,0,1,0,0,1,1,0,1,0,0,0,12,4,16,3,13,6,8,13,8];
paths[2668] = [2,0,1,1,0,1,1,0,1,0,0,0,12,4,16,3,13,6,8,14,6];
paths[2669] = [2,0,0,1,0,1,1,1,1,0,0,0,12,4,16,3,13,6,8,19,4];
paths[2670] = [2,0,1,2,0,1,0,1,1,0,0,0,12,4,16,3,13,6,9,13,7];
paths[2671] = [2,0,3,1,0,1,0,1,1,0,0,0,12,4,16,3,13,6,9,14,5];
paths[2672] = [2,0,1,2,0,1,0,0,1,0,0,0,12,4,16,3,13,6,10,11,8];
paths[2673] = [2,0,3,1,0,1,0,0,1,0,0,0,12,4,16,3,13,6,10,12,6];
paths[2674] = [2,0,3,1,0,1,1,1,1,0,0,0,12,4,16,3,13,6,10,14,4];
paths[2675] = [2,0,1,2,0,1,1,0,1,0,0,0,12,4,16,3,13,6,11,11,7];
paths[2676] = [2,0,3,1,0,1,1,0,1,0,0,0,12,4,16,3,13,6,11,12,5];
paths[2677] = [4,0,0,1,0,1,1,1,1,0,0,0,12,4,16,3,13,6,11,17,3];
paths[2678] = [2,0,1,3,0,1,0,1,1,0,0,0,12,4,16,3,13,6,12,11,6];
paths[2679] = [4,0,3,1,0,1,0,1,1,0,0,0,12,4,16,3,13,6,12,12,4];
paths[2680] = [2,0,1,3,0,1,0,0,1,0,0,0,12,4,16,3,13,6,13,9,7];
paths[2681] = [4,0,3,1,0,1,0,0,1,0,0,0,12,4,16,3,13,6,13,10,5];
paths[2682] = [4,0,3,1,0,1,1,1,1,0,0,0,12,4,16,3,13,6,13,12,3];
paths[2683] = [2,0,1,3,0,1,1,0,1,0,0,0,12,4,16,3,13,6,14,9,6];
paths[2684] = [4,0,3,1,0,1,1,0,1,0,0,0,12,4,16,3,13,6,14,10,4];
paths[2685] = [2,0,3,3,0,1,0,1,1,0,0,0,12,4,16,3,13,6,15,9,5];
paths[2686] = [2,0,3,3,0,1,0,0,1,0,0,0,12,4,16,3,13,6,16,7,6];
paths[2687] = [2,0,3,3,0,1,1,1,1,0,0,0,12,4,16,3,13,6,16,9,4];
paths[2688] = [2,0,3,3,0,1,1,0,1,0,0,0,12,4,16,3,13,6,17,7,5];
paths[2689] = [4,0,3,3,0,1,0,1,1,0,0,0,12,4,16,3,13,6,18,7,4];
paths[2690] = [4,0,3,3,0,1,0,0,1,0,0,0,12,4,16,3,13,6,19,5,5];
paths[2691] = [4,0,3,3,0,1,1,1,1,0,0,0,12,4,16,3,13,6,19,7,3];
paths[2692] = [4,0,3,3,0,1,1,0,1,0,0,0,12,4,16,3,13,6,20,5,4];
paths[2693] = [2,0,1,0,0,2,0,1,1,0,0,0,12,4,16,4,9,8,6,15,8];
paths[2694] = [2,0,1,1,0,2,0,1,1,0,0,0,12,4,16,4,9,8,6,16,6];
paths[2695] = [2,0,1,0,0,2,0,0,1,0,0,0,12,4,16,4,9,8,7,13,9];
paths[2696] = [2,0,1,1,0,2,0,0,1,0,0,0,12,4,16,4,9,8,7,14,7];
paths[2697] = [2,0,1,1,0,2,1,1,1,0,0,0,12,4,16,4,9,8,7,16,5];
paths[2698] = [2,0,1,0,0,2,1,0,1,0,0,0,12,4,16,4,9,8,8,13,8];
paths[2699] = [2,0,1,1,0,2,1,0,1,0,0,0,12,4,16,4,9,8,8,14,6];
paths[2700] = [2,0,0,1,0,2,1,1,1,0,0,0,12,4,16,4,9,8,8,19,4];
paths[2701] = [2,0,1,2,0,2,0,1,1,0,0,0,12,4,16,4,9,8,9,13,7];
paths[2702] = [2,0,3,1,0,2,0,1,1,0,0,0,12,4,16,4,9,8,9,14,5];
paths[2703] = [2,0,1,2,0,2,0,0,1,0,0,0,12,4,16,4,9,8,10,11,8];
paths[2704] = [2,0,3,1,0,2,0,0,1,0,0,0,12,4,16,4,9,8,10,12,6];
paths[2705] = [2,0,3,1,0,2,1,1,1,0,0,0,12,4,16,4,9,8,10,14,4];
paths[2706] = [2,0,1,2,0,2,1,0,1,0,0,0,12,4,16,4,9,8,11,11,7];
paths[2707] = [2,0,3,1,0,2,1,0,1,0,0,0,12,4,16,4,9,8,11,12,5];
paths[2708] = [4,0,0,1,0,2,1,1,1,0,0,0,12,4,16,4,9,8,11,17,3];
paths[2709] = [2,0,1,3,0,2,0,1,1,0,0,0,12,4,16,4,9,8,12,11,6];
paths[2710] = [4,0,3,1,0,2,0,1,1,0,0,0,12,4,16,4,9,8,12,12,4];
paths[2711] = [2,0,1,3,0,2,0,0,1,0,0,0,12,4,16,4,9,8,13,9,7];
paths[2712] = [4,0,3,1,0,2,0,0,1,0,0,0,12,4,16,4,9,8,13,10,5];
paths[2713] = [4,0,3,1,0,2,1,1,1,0,0,0,12,4,16,4,9,8,13,12,3];
paths[2714] = [2,0,1,3,0,2,1,0,1,0,0,0,12,4,16,4,9,8,14,9,6];
paths[2715] = [4,0,3,1,0,2,1,0,1,0,0,0,12,4,16,4,9,8,14,10,4];
paths[2716] = [2,0,3,3,0,2,0,1,1,0,0,0,12,4,16,4,9,8,15,9,5];
paths[2717] = [2,0,3,3,0,2,0,0,1,0,0,0,12,4,16,4,9,8,16,7,6];
paths[2718] = [2,0,3,3,0,2,1,1,1,0,0,0,12,4,16,4,9,8,16,9,4];
paths[2719] = [2,0,3,3,0,2,1,0,1,0,0,0,12,4,16,4,9,8,17,7,5];
paths[2720] = [4,0,3,3,0,2,0,1,1,0,0,0,12,4,16,4,9,8,18,7,4];
paths[2721] = [4,0,3,3,0,2,0,0,1,0,0,0,12,4,16,4,9,8,19,5,5];
paths[2722] = [4,0,3,3,0,2,1,1,1,0,0,0,12,4,16,4,9,8,19,7,3];
paths[2723] = [4,0,3,3,0,2,1,0,1,0,0,0,12,4,16,4,9,8,20,5,4];
paths[2724] = [2,0,1,0,0,3,0,1,1,0,0,0,12,4,16,5,7,10,6,15,8];
paths[2725] = [2,0,1,1,0,3,0,1,1,0,0,0,12,4,16,5,7,10,6,16,6];
paths[2726] = [2,0,1,0,0,3,0,0,1,0,0,0,12,4,16,5,7,10,7,13,9];
paths[2727] = [2,0,1,1,0,3,0,0,1,0,0,0,12,4,16,5,7,10,7,14,7];
paths[2728] = [2,0,1,1,0,3,1,1,1,0,0,0,12,4,16,5,7,10,7,16,5];
paths[2729] = [2,0,1,0,0,3,1,0,1,0,0,0,12,4,16,5,7,10,8,13,8];
paths[2730] = [2,0,1,1,0,3,1,0,1,0,0,0,12,4,16,5,7,10,8,14,6];
paths[2731] = [2,0,0,1,0,3,1,1,1,0,0,0,12,4,16,5,7,10,8,19,4];
paths[2732] = [2,0,1,2,0,3,0,1,1,0,0,0,12,4,16,5,7,10,9,13,7];
paths[2733] = [2,0,3,1,0,3,0,1,1,0,0,0,12,4,16,5,7,10,9,14,5];
paths[2734] = [2,0,1,2,0,3,0,0,1,0,0,0,12,4,16,5,7,10,10,11,8];
paths[2735] = [2,0,3,1,0,3,0,0,1,0,0,0,12,4,16,5,7,10,10,12,6];
paths[2736] = [2,0,3,1,0,3,1,1,1,0,0,0,12,4,16,5,7,10,10,14,4];
paths[2737] = [2,0,1,2,0,3,1,0,1,0,0,0,12,4,16,5,7,10,11,11,7];
paths[2738] = [2,0,3,1,0,3,1,0,1,0,0,0,12,4,16,5,7,10,11,12,5];
paths[2739] = [4,0,0,1,0,3,1,1,1,0,0,0,12,4,16,5,7,10,11,17,3];
paths[2740] = [2,0,1,3,0,3,0,1,1,0,0,0,12,4,16,5,7,10,12,11,6];
paths[2741] = [4,0,3,1,0,3,0,1,1,0,0,0,12,4,16,5,7,10,12,12,4];
paths[2742] = [2,0,1,3,0,3,0,0,1,0,0,0,12,4,16,5,7,10,13,9,7];
paths[2743] = [4,0,3,1,0,3,0,0,1,0,0,0,12,4,16,5,7,10,13,10,5];
paths[2744] = [4,0,3,1,0,3,1,1,1,0,0,0,12,4,16,5,7,10,13,12,3];
paths[2745] = [2,0,1,3,0,3,1,0,1,0,0,0,12,4,16,5,7,10,14,9,6];
paths[2746] = [4,0,3,1,0,3,1,0,1,0,0,0,12,4,16,5,7,10,14,10,4];
paths[2747] = [2,0,3,3,0,3,0,1,1,0,0,0,12,4,16,5,7,10,15,9,5];
paths[2748] = [2,0,3,3,0,3,0,0,1,0,0,0,12,4,16,5,7,10,16,7,6];
paths[2749] = [2,0,3,3,0,3,1,1,1,0,0,0,12,4,16,5,7,10,16,9,4];
paths[2750] = [2,0,3,3,0,3,1,0,1,0,0,0,12,4,16,5,7,10,17,7,5];
paths[2751] = [4,0,3,3,0,3,0,1,1,0,0,0,12,4,16,5,7,10,18,7,4];
paths[2752] = [4,0,3,3,0,3,0,0,1,0,0,0,12,4,16,5,7,10,19,5,5];
paths[2753] = [4,0,3,3,0,3,1,1,1,0,0,0,12,4,16,5,7,10,19,7,3];
paths[2754] = [4,0,3,3,0,3,1,0,1,0,0,0,12,4,16,5,7,10,20,5,4];
paths[2755] = [2,0,1,0,0,0,0,1,1,0,0,0,12,4,16,5,8,9,6,15,8];
paths[2756] = [2,0,1,1,0,0,0,1,1,0,0,0,12,4,16,5,8,9,6,16,6];
paths[2757] = [2,0,1,0,0,0,0,0,1,0,0,0,12,4,16,5,8,9,7,13,9];
paths[2758] = [2,0,1,1,0,0,0,0,1,0,0,0,12,4,16,5,8,9,7,14,7];
paths[2759] = [2,0,1,1,0,0,1,1,1,0,0,0,12,4,16,5,8,9,7,16,5];
paths[2760] = [2,0,1,0,0,0,1,0,1,0,0,0,12,4,16,5,8,9,8,13,8];
paths[2761] = [2,0,1,1,0,0,1,0,1,0,0,0,12,4,16,5,8,9,8,14,6];
paths[2762] = [2,0,0,1,0,0,1,1,1,0,0,0,12,4,16,5,8,9,8,19,4];
paths[2763] = [2,0,1,2,0,0,0,1,1,0,0,0,12,4,16,5,8,9,9,13,7];
paths[2764] = [2,0,3,1,0,0,0,1,1,0,0,0,12,4,16,5,8,9,9,14,5];
paths[2765] = [2,0,1,2,0,0,0,0,1,0,0,0,12,4,16,5,8,9,10,11,8];
paths[2766] = [2,0,3,1,0,0,0,0,1,0,0,0,12,4,16,5,8,9,10,12,6];
paths[2767] = [2,0,3,1,0,0,1,1,1,0,0,0,12,4,16,5,8,9,10,14,4];
paths[2768] = [2,0,1,2,0,0,1,0,1,0,0,0,12,4,16,5,8,9,11,11,7];
paths[2769] = [2,0,3,1,0,0,1,0,1,0,0,0,12,4,16,5,8,9,11,12,5];
paths[2770] = [4,0,0,1,0,0,1,1,1,0,0,0,12,4,16,5,8,9,11,17,3];
paths[2771] = [2,0,1,3,0,0,0,1,1,0,0,0,12,4,16,5,8,9,12,11,6];
paths[2772] = [4,0,3,1,0,0,0,1,1,0,0,0,12,4,16,5,8,9,12,12,4];
paths[2773] = [2,0,1,3,0,0,0,0,1,0,0,0,12,4,16,5,8,9,13,9,7];
paths[2774] = [4,0,3,1,0,0,0,0,1,0,0,0,12,4,16,5,8,9,13,10,5];
paths[2775] = [4,0,3,1,0,0,1,1,1,0,0,0,12,4,16,5,8,9,13,12,3];
paths[2776] = [2,0,1,3,0,0,1,0,1,0,0,0,12,4,16,5,8,9,14,9,6];
paths[2777] = [4,0,3,1,0,0,1,0,1,0,0,0,12,4,16,5,8,9,14,10,4];
paths[2778] = [2,0,3,3,0,0,0,1,1,0,0,0,12,4,16,5,8,9,15,9,5];
paths[2779] = [2,0,3,3,0,0,0,0,1,0,0,0,12,4,16,5,8,9,16,7,6];
paths[2780] = [2,0,3,3,0,0,1,1,1,0,0,0,12,4,16,5,8,9,16,9,4];
paths[2781] = [2,0,3,3,0,0,1,0,1,0,0,0,12,4,16,5,8,9,17,7,5];
paths[2782] = [4,0,3,3,0,0,0,1,1,0,0,0,12,4,16,5,8,9,18,7,4];
paths[2783] = [4,0,3,3,0,0,0,0,1,0,0,0,12,4,16,5,8,9,19,5,5];
paths[2784] = [4,0,3,3,0,0,1,1,1,0,0,0,12,4,16,5,8,9,19,7,3];
paths[2785] = [4,0,3,3,0,0,1,0,1,0,0,0,12,4,16,5,8,9,20,5,4];
paths[2786] = [2,0,4,0,0,1,0,1,1,0,0,0,12,4,16,8,14,5,6,15,8];
paths[2787] = [2,0,4,1,0,1,0,1,1,0,0,0,12,4,16,8,14,5,6,16,6];
paths[2788] = [2,0,4,0,0,1,0,0,1,0,0,0,12,4,16,8,14,5,7,13,9];
paths[2789] = [2,0,4,1,0,1,0,0,1,0,0,0,12,4,16,8,14,5,7,14,7];
paths[2790] = [2,0,4,1,0,1,1,1,1,0,0,0,12,4,16,8,14,5,7,16,5];
paths[2791] = [2,0,4,0,0,1,1,0,1,0,0,0,12,4,16,8,14,5,8,13,8];
paths[2792] = [2,0,4,1,0,1,1,0,1,0,0,0,12,4,16,8,14,5,8,14,6];
paths[2793] = [2,0,4,2,0,1,0,1,1,0,0,0,12,4,16,8,14,5,9,13,7];
paths[2794] = [2,0,5,1,0,1,0,1,1,0,0,0,12,4,16,8,14,5,9,14,5];
paths[2795] = [2,0,4,2,0,1,0,0,1,0,0,0,12,4,16,8,14,5,10,11,8];
paths[2796] = [2,0,5,1,0,1,0,0,1,0,0,0,12,4,16,8,14,5,10,12,6];
paths[2797] = [2,0,5,1,0,1,1,1,1,0,0,0,12,4,16,8,14,5,10,14,4];
paths[2798] = [2,0,4,2,0,1,1,0,1,0,0,0,12,4,16,8,14,5,11,11,7];
paths[2799] = [2,0,5,1,0,1,1,0,1,0,0,0,12,4,16,8,14,5,11,12,5];
paths[2800] = [2,0,4,3,0,1,0,1,1,0,0,0,12,4,16,8,14,5,12,11,6];
paths[2801] = [4,0,5,1,0,1,0,1,1,0,0,0,12,4,16,8,14,5,12,12,4];
paths[2802] = [2,0,4,3,0,1,0,0,1,0,0,0,12,4,16,8,14,5,13,9,7];
paths[2803] = [4,0,5,1,0,1,0,0,1,0,0,0,12,4,16,8,14,5,13,10,5];
paths[2804] = [4,0,5,1,0,1,1,1,1,0,0,0,12,4,16,8,14,5,13,12,3];
paths[2805] = [2,0,4,3,0,1,1,0,1,0,0,0,12,4,16,8,14,5,14,9,6];
paths[2806] = [4,0,5,1,0,1,1,0,1,0,0,0,12,4,16,8,14,5,14,10,4];
paths[2807] = [2,0,5,3,0,1,0,1,1,0,0,0,12,4,16,8,14,5,15,9,5];
paths[2808] = [2,0,5,3,0,1,0,0,1,0,0,0,12,4,16,8,14,5,16,7,6];
paths[2809] = [2,0,5,3,0,1,1,1,1,0,0,0,12,4,16,8,14,5,16,9,4];
paths[2810] = [2,0,5,3,0,1,1,0,1,0,0,0,12,4,16,8,14,5,17,7,5];
paths[2811] = [4,0,5,3,0,1,0,1,1,0,0,0,12,4,16,8,14,5,18,7,4];
paths[2812] = [4,0,5,3,0,1,0,0,1,0,0,0,12,4,16,8,14,5,19,5,5];
paths[2813] = [4,0,5,3,0,1,1,1,1,0,0,0,12,4,16,8,14,5,19,7,3];
paths[2814] = [4,0,5,3,0,1,1,0,1,0,0,0,12,4,16,8,14,5,20,5,4];
paths[2815] = [2,0,4,0,0,2,0,1,1,0,0,0,12,4,16,9,10,7,6,15,8];
paths[2816] = [2,0,4,1,0,2,0,1,1,0,0,0,12,4,16,9,10,7,6,16,6];
paths[2817] = [2,0,4,0,0,2,0,0,1,0,0,0,12,4,16,9,10,7,7,13,9];
paths[2818] = [2,0,4,1,0,2,0,0,1,0,0,0,12,4,16,9,10,7,7,14,7];
paths[2819] = [2,0,4,1,0,2,1,1,1,0,0,0,12,4,16,9,10,7,7,16,5];
paths[2820] = [2,0,4,0,0,2,1,0,1,0,0,0,12,4,16,9,10,7,8,13,8];
paths[2821] = [2,0,4,1,0,2,1,0,1,0,0,0,12,4,16,9,10,7,8,14,6];
paths[2822] = [2,0,4,2,0,2,0,1,1,0,0,0,12,4,16,9,10,7,9,13,7];
paths[2823] = [2,0,5,1,0,2,0,1,1,0,0,0,12,4,16,9,10,7,9,14,5];
paths[2824] = [2,0,4,2,0,2,0,0,1,0,0,0,12,4,16,9,10,7,10,11,8];
paths[2825] = [2,0,5,1,0,2,0,0,1,0,0,0,12,4,16,9,10,7,10,12,6];
paths[2826] = [2,0,5,1,0,2,1,1,1,0,0,0,12,4,16,9,10,7,10,14,4];
paths[2827] = [2,0,4,2,0,2,1,0,1,0,0,0,12,4,16,9,10,7,11,11,7];
paths[2828] = [2,0,5,1,0,2,1,0,1,0,0,0,12,4,16,9,10,7,11,12,5];
paths[2829] = [2,0,4,3,0,2,0,1,1,0,0,0,12,4,16,9,10,7,12,11,6];
paths[2830] = [4,0,5,1,0,2,0,1,1,0,0,0,12,4,16,9,10,7,12,12,4];
paths[2831] = [2,0,4,3,0,2,0,0,1,0,0,0,12,4,16,9,10,7,13,9,7];
paths[2832] = [4,0,5,1,0,2,0,0,1,0,0,0,12,4,16,9,10,7,13,10,5];
paths[2833] = [4,0,5,1,0,2,1,1,1,0,0,0,12,4,16,9,10,7,13,12,3];
paths[2834] = [2,0,4,3,0,2,1,0,1,0,0,0,12,4,16,9,10,7,14,9,6];
paths[2835] = [4,0,5,1,0,2,1,0,1,0,0,0,12,4,16,9,10,7,14,10,4];
paths[2836] = [2,0,5,3,0,2,0,1,1,0,0,0,12,4,16,9,10,7,15,9,5];
paths[2837] = [2,0,5,3,0,2,0,0,1,0,0,0,12,4,16,9,10,7,16,7,6];
paths[2838] = [2,0,5,3,0,2,1,1,1,0,0,0,12,4,16,9,10,7,16,9,4];
paths[2839] = [2,0,5,3,0,2,1,0,1,0,0,0,12,4,16,9,10,7,17,7,5];
paths[2840] = [4,0,5,3,0,2,0,1,1,0,0,0,12,4,16,9,10,7,18,7,4];
paths[2841] = [4,0,5,3,0,2,0,0,1,0,0,0,12,4,16,9,10,7,19,5,5];
paths[2842] = [4,0,5,3,0,2,1,1,1,0,0,0,12,4,16,9,10,7,19,7,3];
paths[2843] = [4,0,5,3,0,2,1,0,1,0,0,0,12,4,16,9,10,7,20,5,4];
}
function planPath() {
//alrighty, let's go through all the paths, and see if you have enough gears for any of them
var havethis = []; var haves = 0;
var remaining = [];
var donthave = []; var donts = 0;
//read the gearwheel amounts
getGM();
var array = wheeldata.split(",");
var mybs = array[0];
var mybm = array[1];
var mybl = array[2];
var myss = array[3];
var mysm = array[4];
var mysl = array[5];
var mygs = array[6];
var mygm = array[7];
var mygl = array[8];
//0,2,1,0,3,1,2,1,0,0,0,0,3,10,11,2,17,8
//0 1 2 3 4 5 6 7 8 - - - . . .
var totalpaths = paths.length;
for (var i = 0; i < totalpaths; i++) {
var tba = paths[i].slice();
if ((tba[12] <= mybs) && (tba[13] <= mybm) && (tba[14] <= mybl)
&& (tba[15] <= myss) && (tba[16] <= mysm) && (tba[17] <= mysl)
&& (tba[18] <= mygs) && (tba[19] <= mygm) && (tba[20] <= mygl)) {
//this path is possible with the current amount of gears! :o
havethis[haves] = tba.slice();
var tba2 = [];
tba2[0] = mybs - tba[12]; tba2[1] = mybm - tba[13]; tba2[2] = mybl - tba[14];
tba2[3] = myss - tba[15]; tba2[4] = mysm - tba[16]; tba2[5] = mysl - tba[17];
tba2[6] = mygs - tba[18]; tba2[7] = mygm - tba[19]; tba2[8] = mygl - tba[20];
tba2[9] = 0; //this'll be used for sorting
remaining[haves] = tba2.slice();
haves = haves + 1;
} else {
tba[12] = Math.max(0,tba[12]-mybs);
tba[13] = Math.max(0,tba[13]-mybm);
tba[14] = Math.max(0,tba[14]-mybl);
tba[15] = Math.max(0,tba[15]-myss);
tba[16] = Math.max(0,tba[16]-mysm);
tba[17] = Math.max(0,tba[17]-mysl);
tba[18] = Math.max(0,tba[18]-mygs);
tba[19] = Math.max(0,tba[19]-mygm);
tba[20] = Math.max(0,tba[20]-mygl);
tba[21] = tba[12]+tba[13]+tba[14]+tba[15]+tba[16]+tba[17]+tba[18]+tba[19]+tba[20];
donthave[donts] = tba.slice();
donts = donts + 1;
}
}
if(haves > 0) {
//there are solutions! :o
//first off, let's sort them
for (var i1 = 0; i1 < haves; i1++) {
for (var i2 = i1+1; i2 < haves; i2++) {
var small1 = remaining[i1][0]+remaining[i1][3]+remaining[i1][6];
var medium1 = remaining[i1][1]+remaining[i1][4]+remaining[i1][7];
var large1 = remaining[i1][2]+remaining[i1][5]+remaining[i1][8];
var small2 = remaining[i2][0]+remaining[i2][3]+remaining[i2][6];;
var medium2 = remaining[i2][1]+remaining[i2][4]+remaining[i2][7];;
var large2 = remaining[i2][2]+remaining[i2][5]+remaining[i2][8];;
if ( ((small1 > small2)) || ((small1 == small2) && (medium1 > medium2))
|| ((small1 == small2) && (medium1 == medium2) && (large1 > large2)) ) {
//first path is more awesome than second
remaining[i2][9] = remaining[i2][9] + 1;
} else {
//second path is more awesome than first
remaining[i1][9] = remaining[i1][9] + 1;
}
}
}
newhaves = [];
newremains = [];
for (var i = 0; i < haves; i++) {
var whichspot = remaining[i][9];
if (whichspot < 10) {
newhaves[whichspot] = havethis[i].slice();
var oldba = remaining[i].slice();
var newba = [];
for (var i2 = 0; i2 < 9; i2++) { newba[i2] = oldba[i2]; }
newremains[whichspot] = newba.slice();
}
}
var haves2 = Math.min(haves,10);
var watchEl = document.evaluate("//font/b", document, null,
XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
var addstring = "";
addstring += haves + " possible paths exist with current amount of gears.<br>";
if (haves >= 10) {
addstring += "Pick 1 path from the top 10 with 0-9 keys.<br>";
} else {
addstring += "Pick a path with 0-"+(haves-1) + " keys.<br>";
}
addstring += "Remaining gearwheels after each path:<br>";
for (var i = 0; i < haves2; i++) {
addstring += "Path "+i+": ";
addstring += "Bronze: ";
addstring += "Small " + newremains[i][0] + ", ";
addstring += "Medium " + newremains[i][1] + ", ";
addstring += "Large " + newremains[i][2] + "; ";
addstring += "Silver: ";
addstring += "Small " + newremains[i][3] + ", ";
addstring += "Medium " + newremains[i][4] + ", ";
addstring += "Large " + newremains[i][5] + "; ";
addstring += "Gold: ";
addstring += "Small " + newremains[i][6] + ", ";
addstring += "Medium " + newremains[i][7] + ", ";
addstring += "Large " + newremains[i][8] + ".<br>";
}
watchEl.parentNode.parentNode.innerHTML += "<br>" + addstring;
} else {
//eh, let's give an estimate of how many gears you'll still need
var stillneeded = 999;
for (var i = 0; i < donts; i++) {
stillneeded = Math.min(stillneeded,donthave[i][21]);
}
alert("You don't have enough gears: you'll need at least "+stillneeded+" more gears");
}
}
function readGears() {
var snap = document.evaluate("//ul[@id='DragContainer7']/li[not(contains(@id,'XX'))]/font[1]/text()|//ul[@id='DragContainer7']/li[not(contains(@id,'XX'))]/text()",
document, null, XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null);
var bronzesmall = 0; var bronzemedium = 0; var bronzelarge = 0;
var silversmall = 0; var silvermedium = 0; var silverlarge = 0;
var goldsmall = 0; var goldmedium = 0; var goldlarge = 0;
for (var i = 0; i < snap.snapshotLength-1; i += 2) {
var itemname = snap.snapshotItem(i+1).textContent;
if (itemname.indexOf("Bronze Gearwheel") == 1) {
if (itemname.indexOf("Small") > 0) {
bronzesmall = parseInt(snap.snapshotItem(i).textContent);
} else if (itemname.indexOf("Medium") > 0) {
bronzemedium = parseInt(snap.snapshotItem(i).textContent);
} else if (itemname.indexOf("Large") > 0) {
bronzelarge = parseInt(snap.snapshotItem(i).textContent);
}
} else if (itemname.indexOf("Silver Gearwheel") == 1) {
if (itemname.indexOf("Small") > 0) {
silversmall = parseInt(snap.snapshotItem(i).textContent);
} else if (itemname.indexOf("Medium") > 0) {
silvermedium = parseInt(snap.snapshotItem(i).textContent);
} else if (itemname.indexOf("Large") > 0) {
silverlarge = parseInt(snap.snapshotItem(i).textContent);
}
} else if (itemname.indexOf("Gold Gearwheel") == 1) {
if (itemname.indexOf("Small") > 0) {
goldsmall = parseInt(snap.snapshotItem(i).textContent);
} else if (itemname.indexOf("Medium") > 0) {
goldmedium = parseInt(snap.snapshotItem(i).textContent);
} else if (itemname.indexOf("Large") > 0) {
goldlarge = parseInt(snap.snapshotItem(i).textContent);
}
}
}
wheeldata = bronzesmall+","+bronzemedium+","+bronzelarge
+","+silversmall+","+silvermedium+","+silverlarge
+","+goldsmall+","+goldmedium+","+goldlarge;
GM_setValue(playername+"_wheels", wheeldata);
}
function getGM() {
wheeldata = GM_getValue(playername+"_wheels", "0,0,0,0,0,0,0,0,0");
pathdata = GM_getValue(playername+"_path", "-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1");
}
function fillInPath() {
var patharray = pathdata.split(",");
var thisstepsolutionid = patharray[stepscompleted];
if (thisstepsolutionid >= 0) {
var pickthis = solutions[stepscompleted][thisstepsolutionid];
var pickbs = pickthis[0]; var pickbm = pickthis[1]; var pickbl = pickthis[2];
var pickss = pickthis[3]; var picksm = pickthis[4]; var picksl = pickthis[5];
var pickgs = pickthis[6]; var pickgm = pickthis[7]; var pickgl = pickthis[8];
var bsfield = document.evaluate("//input [@name='gear-0-1']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
bsfield.value = Math.abs(pickbs);
if (pickbs < 0) {
document.evaluate("//input [@name='gear-0-1r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
var bmfield = document.evaluate("//input [@name='gear-0-2']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
bmfield.value = Math.abs(pickbm);
if (pickbm < 0) {
document.evaluate("//input [@name='gear-0-2r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
var blfield = document.evaluate("//input [@name='gear-0-3']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
blfield.value = Math.abs(pickbl);
if (pickbl < 0) {
document.evaluate("//input [@name='gear-0-3r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
var ssfield = document.evaluate("//input [@name='gear-1-1']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
ssfield.value = Math.abs(pickss);
if (pickss < 0) {
document.evaluate("//input [@name='gear-1-1r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
var smfield = document.evaluate("//input [@name='gear-1-2']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
if (picksm < 0) {
document.evaluate("//input [@name='gear-1-2r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
smfield.value = Math.abs(picksm);
var slfield = document.evaluate("//input [@name='gear-1-3']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
slfield.value = Math.abs(picksl);
if (picksl < 0) {
document.evaluate("//input [@name='gear-1-3r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
var gsfield = document.evaluate("//input [@name='gear-2-1']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
gsfield.value = Math.abs(pickgs);
if (pickgs < 0) {
document.evaluate("//input [@name='gear-2-1r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
var gmfield = document.evaluate("//input [@name='gear-2-2']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
if (pickgm < 0) {
document.evaluate("//input [@name='gear-2-2r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
gmfield.value = Math.abs(pickgm);
var glfield = document.evaluate("//input [@name='gear-2-3']",
document, null, XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
glfield.value = Math.abs(pickgl);
if (pickgl < 0) {
document.evaluate("//input [@name='gear-2-3r' and @value='1']",document, null,
XPathResult.UNORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0).checked = true;
}
}
}
function checkProgress() {
var progressEl = document.evaluate("//tr[2]/td/b",
document, null, XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
var completeEl = document.evaluate("//tr[2]/td/b[2]",
document, null, XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null).snapshotItem(0);
var progresstext = progressEl.textContent;
stepscompleted = 0*(1+progresstext.indexOf("Cracked")) + 3*(1+progresstext.indexOf("Tarnished"))
+ 6*(1+progresstext.indexOf("Dinged")) + 9*(1+progresstext.indexOf("New"));
stepscompleted += parseInt(completeEl.textContent.substring(0,1));
}
function process_event(event) {
if (event.keyCode == 67) { //c for "create paths"
if (document.forms.namedItem( "mixit" ) ) {
makePaths(stepscompleted);
}
} else if (event.keyCode == 80) { //p for "plan path"
if (document.forms.namedItem( "mixit" ) ) {
planPath();
}
} else if (event.keyCode >= 48 && event.keyCode <= 57) { //0-9 for "pick path"
var option = event.keyCode - 48;
if (newhaves.length == 0) {
//alert("No possible paths exist. Press \"p\" to create paths, or acquire more gearwheels.");
//don't throw a warning - player might want to change things manually
} else if (newhaves.length < option) {
alert(option+" is not a possible path (only "+newhaves.length+" exist)");
} else {
//store the path, then make the script select a route
var tba = newhaves[option].slice();
pathdata = ""+tba[0];
for (var i = 1; i < 12; i++) { pathdata = pathdata + "," + tba[i]; }
GM_setValue(playername+"_path",pathdata);
fillInPath();
}
}
//1-0 for picking a path (assuming paths have been planned... perhaps use a boolean for that
//if a path has been picked, auto-fill in stuff on pageload
}
window.addEventListener("keyup", process_event, false);