--Precalculated paths

local t,f,n=true,false,{}
local r={
[58]={{61,59,41,30,56,58},t},
[49]={{61,59,41,39,35,34,32,31,29,28,44,45,49},t},
[16]={n,f},
[19]={{61,59,41,30,56,58,20,19},t},
[59]={{61,59},t},
[63]={{61,59,41,30,56,58,23,62,63},t},
[34]={{61,59,41,39,35,34},t},
[21]={{61,59,41,30,56,58,20,21},t},
[48]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48},t},
[27]={{61,59,41,39,35,34,32,31,29,28,27},t},
[14]={n,f},
[31]={{61,59,41,39,35,34,32,31},t},
[56]={{61,59,41,30,56},t},
[29]={{61,59,41,39,35,34,32,31,29},t},
[13]={n,f},
[47]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48,47},t},
[12]={n,f},
[45]={{61,59,41,39,35,34,32,31,29,28,44,45},t},
[57]={{61,59,41,30,56,57},t},
[36]={{61,59,41,39,35,37,36},t},
[25]={{61,59,41,39,35,34,32,31,29,28,27,26,25},t},
[71]={{61,71},t},
[20]={{61,59,41,30,56,58,20},t},
[60]={{61,60},t},
[8]={n,f},
[4]={n,f},
[75]={{61,71,72,76,73,75},t},
[22]={{61,59,41,30,56,58,20,21,22},t},
[74]={{61,71,72,76,73,74},t},
[62]={{61,59,41,30,56,58,23,62},t},
[1]={n,f},
[6]={n,f},
[11]={n,f},
[15]={n,f},
[37]={{61,59,41,39,35,37},t},
[2]={n,f},
[35]={{61,59,41,39,35},t},
[53]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48,47,52,53},t},
[73]={{61,71,72,76,73},t},
[72]={{61,71,72},t},
[33]={{61,59,41,39,35,37,36,33},t},
[69]={{61,69},t},
[65]={{61,59,41,30,56,58,20,19,66,64,65},t},
[26]={{61,59,41,39,35,34,32,31,29,28,27,26},t},
[68]={{61,59,41,30,56,58,20,19,66,64,67,68},t},
[76]={{61,71,72,76},t},
[50]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48,47,50},t},
[66]={{61,59,41,30,56,58,20,19,66},t},
[10]={n,f},
[24]={{61,59,41,39,35,34,32,31,29,28,27,26,25,24},t},
[23]={{61,59,41,30,56,58,23},t},
[44]={{61,59,41,39,35,34,32,31,29,28,44},t},
[39]={{61,59,41,39},t},
[32]={{61,59,41,39,35,34,32},t},
[3]={n,f},
[30]={{61,59,41,30},t},
[51]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48,47,50,51},t},
[18]={n,f},
[67]={{61,59,41,30,56,58,20,19,66,64,67},t},
[61]={{61},t},
[55]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48,47,52,53,54,55},t},
[46]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48,47,46},t},
[42]={{61,59,41,39,40,38,42},t},
[40]={{61,59,41,39,40},t},
[52]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48,47,52},t},
[54]={{61,59,41,39,35,34,32,31,29,28,44,45,49,48,47,52,53,54},t},
[43]={n,f},
[7]={n,f},
[9]={n,f},
[41]={{61,59,41},t},
[17]={n,f},
[38]={{61,59,41,39,40,38},t},
[28]={{61,59,41,39,35,34,32,31,29,28},t},
[5]={n,f},
[64]={{61,59,41,30,56,58,20,19,66,64},t},
}
return r
