package adventofcode

import "testing"

var sampleInput18 = [][]int{
	{2, 2, 2},
	{1, 2, 2},
	{3, 2, 2},
	{2, 1, 2},
	{2, 3, 2},
	{2, 2, 1},
	{2, 2, 3},
	{2, 2, 4},
	{2, 2, 6},
	{1, 2, 5},
	{3, 2, 5},
	{2, 1, 5},
	{2, 3, 5},
}

var input18 = [][]int{
	{14, 5, 6},
	{12, 4, 14},
	{12, 12, 2},
	{11, 19, 10},
	{8, 16, 3},
	{13, 2, 8},
	{15, 17, 16},
	{18, 11, 17},
	{18, 16, 12},
	{4, 8, 10},
	{10, 3, 14},
	{17, 13, 6},
	{9, 5, 5},
	{13, 15, 16},
	{14, 16, 13},
	{16, 14, 17},
	{8, 19, 15},
	{6, 8, 5},
	{15, 5, 16},
	{19, 12, 8},
	{2, 14, 11},
	{8, 11, 2},
	{15, 10, 3},
	{6, 16, 9},
	{4, 11, 11},
	{5, 11, 18},
	{14, 14, 16},
	{17, 14, 5},
	{14, 3, 13},
	{17, 18, 7},
	{18, 15, 11},
	{18, 11, 4},
	{16, 13, 17},
	{10, 2, 11},
	{10, 7, 18},
	{11, 2, 12},
	{14, 19, 12},
	{14, 7, 3},
	{7, 16, 12},
	{12, 15, 17},
	{0, 11, 10},
	{15, 11, 3},
	{3, 6, 9},
	{16, 6, 5},
	{8, 8, 15},
	{18, 7, 11},
	{12, 19, 7},
	{16, 15, 9},
	{18, 9, 9},
	{1, 10, 13},
	{18, 8, 9},
	{18, 14, 11},
	{14, 3, 11},
	{15, 16, 14},
	{7, 18, 17},
	{9, 12, 2},
	{7, 13, 17},
	{8, 2, 9},
	{3, 10, 8},
	{8, 13, 18},
	{17, 16, 13},
	{17, 17, 10},
	{4, 11, 17},
	{16, 16, 14},
	{14, 18, 16},
	{4, 9, 17},
	{12, 4, 17},
	{9, 18, 9},
	{9, 15, 4},
	{16, 18, 12},
	{5, 16, 7},
	{8, 16, 17},
	{12, 6, 17},
	{9, 1, 12},
	{7, 12, 2},
	{7, 8, 18},
	{10, 17, 3},
	{5, 13, 17},
	{10, 3, 13},
	{8, 3, 16},
	{9, 6, 17},
	{3, 15, 15},
	{3, 14, 14},
	{18, 16, 8},
	{1, 10, 11},
	{5, 8, 16},
	{12, 2, 13},
	{14, 7, 4},
	{18, 15, 10},
	{10, 3, 10},
	{2, 15, 11},
	{11, 6, 2},
	{3, 15, 7},
	{2, 7, 9},
	{10, 15, 17},
	{13, 12, 3},
	{8, 2, 14},
	{6, 16, 7},
	{18, 8, 13},
	{6, 5, 12},
	{14, 9, 17},
	{5, 10, 6},
	{13, 20, 12},
	{8, 3, 14},
	{10, 19, 7},
	{9, 3, 15},
	{16, 9, 17},
	{8, 16, 6},
	{17, 11, 15},
	{17, 15, 6},
	{15, 6, 6},
	{12, 8, 20},
	{6, 18, 8},
	{17, 16, 12},
	{10, 17, 9},
	{10, 4, 17},
	{16, 9, 6},
	{13, 10, 3},
	{15, 3, 11},
	{8, 4, 13},
	{13, 18, 14},
	{10, 20, 11},
	{12, 12, 17},
	{3, 8, 9},
	{1, 11, 13},
	{15, 17, 7},
	{18, 8, 16},
	{16, 3, 12},
	{10, 4, 7},
	{7, 4, 4},
	{4, 9, 15},
	{4, 6, 12},
	{18, 9, 10},
	{5, 6, 6},
	{8, 2, 12},
	{10, 16, 4},
	{16, 15, 6},
	{15, 4, 10},
	{7, 9, 18},
	{5, 16, 9},
	{6, 8, 18},
	{6, 10, 2},
	{16, 16, 17},
	{10, 12, 2},
	{11, 6, 18},
	{15, 2, 8},
	{17, 15, 15},
	{4, 17, 10},
	{15, 14, 13},
	{7, 3, 10},
	{6, 4, 6},
	{19, 9, 14},
	{8, 7, 1},
	{10, 10, 21},
	{5, 11, 6},
	{18, 6, 11},
	{7, 6, 6},
	{16, 8, 18},
	{3, 8, 7},
	{2, 14, 8},
	{17, 11, 8},
	{7, 19, 9},
	{6, 14, 3},
	{10, 13, 2},
	{6, 4, 17},
	{16, 11, 5},
	{16, 10, 17},
	{17, 11, 10},
	{15, 8, 15},
	{20, 9, 11},
	{17, 4, 9},
	{10, 11, 18},
	{11, 3, 6},
	{13, 18, 4},
	{3, 10, 6},
	{18, 16, 9},
	{10, 13, 4},
	{12, 16, 18},
	{12, 17, 15},
	{5, 13, 15},
	{18, 6, 10},
	{12, 19, 12},
	{17, 12, 15},
	{10, 15, 5},
	{18, 13, 16},
	{8, 9, 18},
	{16, 7, 3},
	{8, 2, 11},
	{8, 4, 7},
	{18, 10, 14},
	{8, 6, 17},
	{17, 7, 17},
	{19, 10, 6},
	{16, 13, 16},
	{5, 11, 5},
	{2, 7, 10},
	{11, 7, 19},
	{7, 12, 18},
	{4, 13, 6},
	{3, 14, 7},
	{17, 6, 5},
	{8, 8, 18},
	{14, 18, 11},
	{6, 16, 13},
	{13, 9, 18},
	{10, 5, 4},
	{3, 14, 5},
	{15, 5, 15},
	{10, 6, 4},
	{7, 14, 3},
	{4, 14, 13},
	{8, 5, 6},
	{18, 7, 8},
	{14, 4, 17},
	{7, 17, 5},
	{8, 5, 17},
	{6, 5, 15},
	{5, 4, 12},
	{15, 3, 10},
	{5, 4, 9},
	{17, 17, 11},
	{12, 4, 6},
	{3, 15, 11},
	{9, 6, 19},
	{17, 10, 7},
	{8, 11, 20},
	{9, 5, 4},
	{6, 3, 14},
	{15, 19, 8},
	{17, 12, 5},
	{1, 13, 10},
	{9, 18, 5},
	{9, 10, 2},
	{17, 10, 5},
	{2, 8, 12},
	{13, 18, 15},
	{11, 20, 12},
	{3, 11, 9},
	{11, 3, 17},
	{11, 5, 17},
	{11, 6, 17},
	{6, 6, 16},
	{13, 8, 18},
	{9, 4, 14},
	{10, 18, 6},
	{9, 16, 3},
	{8, 1, 15},
	{16, 14, 8},
	{12, 14, 2},
	{6, 3, 10},
	{6, 12, 19},
	{14, 17, 15},
	{12, 17, 11},
	{15, 8, 5},
	{4, 6, 7},
	{10, 8, 2},
	{10, 13, 3},
	{4, 13, 17},
	{16, 10, 5},
	{15, 4, 13},
	{7, 16, 10},
	{12, 12, 19},
	{7, 18, 14},
	{14, 15, 9},
	{18, 15, 14},
	{2, 11, 13},
	{16, 7, 16},
	{15, 16, 6},
	{14, 3, 6},
	{11, 15, 19},
	{10, 7, 3},
	{19, 9, 8},
	{6, 2, 10},
	{14, 3, 14},
	{13, 13, 4},
	{12, 11, 2},
	{18, 9, 8},
	{10, 18, 17},
	{4, 9, 7},
	{7, 9, 19},
	{9, 3, 7},
	{9, 20, 10},
	{17, 15, 11},
	{18, 8, 10},
	{4, 6, 14},
	{10, 10, 18},
	{2, 12, 15},
	{7, 6, 5},
	{2, 13, 13},
	{5, 4, 8},
	{5, 18, 7},
	{10, 10, 2},
	{11, 12, 19},
	{3, 17, 10},
	{8, 9, 2},
	{19, 15, 11},
	{17, 5, 11},
	{6, 16, 16},
	{7, 4, 15},
	{9, 2, 7},
	{4, 15, 13},
	{17, 13, 15},
	{14, 9, 3},
	{20, 10, 10},
	{15, 13, 18},
	{2, 7, 7},
	{16, 4, 13},
	{8, 4, 9},
	{16, 17, 14},
	{6, 2, 9},
	{10, 7, 19},
	{13, 11, 18},
	{12, 8, 19},
	{18, 11, 14},
	{12, 8, 3},
	{4, 16, 13},
	{13, 19, 8},
	{5, 17, 11},
	{18, 12, 16},
	{17, 10, 12},
	{9, 16, 10},
	{4, 4, 8},
	{6, 10, 3},
	{14, 6, 3},
	{5, 17, 12},
	{7, 18, 7},
	{15, 7, 4},
	{1, 10, 12},
	{7, 13, 4},
	{9, 13, 1},
	{9, 12, 20},
	{8, 18, 12},
	{14, 7, 17},
	{4, 7, 16},
	{15, 16, 4},
	{4, 10, 14},
	{5, 13, 3},
	{4, 15, 7},
	{15, 17, 9},
	{17, 5, 12},
	{12, 18, 7},
	{12, 19, 8},
	{14, 15, 4},
	{5, 4, 16},
	{19, 6, 10},
	{7, 16, 17},
	{9, 1, 11},
	{16, 9, 18},
	{8, 7, 3},
	{16, 9, 3},
	{20, 8, 13},
	{11, 16, 3},
	{15, 15, 17},
	{5, 6, 12},
	{12, 16, 4},
	{16, 8, 4},
	{8, 17, 6},
	{8, 5, 12},
	{9, 1, 14},
	{7, 7, 17},
	{11, 14, 2},
	{1, 12, 11},
	{5, 5, 8},
	{19, 8, 11},
	{3, 16, 13},
	{13, 15, 17},
	{11, 4, 6},
	{12, 16, 16},
	{11, 12, 1},
	{10, 18, 12},
	{13, 4, 7},
	{15, 4, 11},
	{4, 7, 13},
	{4, 5, 11},
	{12, 19, 14},
	{9, 10, 18},
	{13, 18, 7},
	{13, 6, 18},
	{19, 10, 9},
	{8, 18, 13},
	{19, 8, 8},
	{6, 9, 19},
	{4, 14, 16},
	{9, 3, 10},
	{15, 4, 6},
	{7, 17, 7},
	{19, 12, 15},
	{7, 10, 19},
	{6, 8, 17},
	{12, 3, 8},
	{6, 15, 4},
	{8, 8, 4},
	{3, 12, 7},
	{8, 10, 3},
	{4, 9, 13},
	{16, 15, 4},
	{3, 4, 11},
	{4, 12, 9},
	{18, 8, 8},
	{10, 12, 20},
	{11, 13, 18},
	{1, 11, 10},
	{10, 19, 5},
	{5, 15, 15},
	{12, 16, 5},
	{9, 3, 12},
	{14, 4, 12},
	{4, 14, 6},
	{19, 13, 11},
	{15, 10, 18},
	{6, 19, 10},
	{16, 3, 8},
	{8, 18, 16},
	{8, 7, 18},
	{14, 12, 16},
	{15, 8, 19},
	{4, 16, 12},
	{19, 11, 14},
	{11, 2, 13},
	{11, 18, 10},
	{8, 15, 16},
	{11, 3, 9},
	{7, 8, 3},
	{6, 19, 9},
	{9, 17, 13},
	{19, 11, 9},
	{10, 4, 18},
	{19, 15, 10},
	{9, 2, 8},
	{5, 5, 14},
	{9, 19, 10},
	{13, 14, 3},
	{11, 6, 3},
	{15, 17, 15},
	{10, 7, 4},
	{14, 3, 9},
	{19, 9, 10},
	{10, 8, 3},
	{2, 13, 8},
	{16, 4, 9},
	{16, 18, 13},
	{4, 16, 9},
	{4, 10, 9},
	{3, 16, 9},
	{7, 5, 4},
	{9, 8, 18},
	{11, 2, 8},
	{12, 2, 12},
	{20, 13, 14},
	{8, 15, 7},
	{5, 9, 15},
	{7, 13, 18},
	{7, 16, 18},
	{4, 13, 7},
	{6, 16, 5},
	{4, 14, 15},
	{14, 16, 16},
	{18, 10, 13},
	{14, 9, 16},
	{6, 4, 7},
	{7, 11, 17},
	{4, 8, 7},
	{18, 9, 14},
	{10, 9, 18},
	{19, 12, 10},
	{3, 7, 13},
	{5, 11, 4},
	{7, 5, 15},
	{2, 11, 8},
	{18, 9, 16},
	{16, 13, 3},
	{11, 15, 2},
	{7, 18, 6},
	{11, 16, 18},
	{11, 9, 20},
	{16, 17, 10},
	{3, 10, 10},
	{20, 12, 10},
	{6, 19, 12},
	{4, 16, 11},
	{14, 16, 5},
	{5, 4, 10},
	{14, 15, 15},
	{11, 5, 4},
	{3, 13, 12},
	{14, 15, 5},
	{6, 6, 6},
	{8, 15, 17},
	{15, 6, 16},
	{4, 15, 9},
	{11, 10, 1},
	{6, 13, 5},
	{7, 12, 3},
	{3, 12, 6},
	{7, 9, 1},
	{8, 18, 8},
	{4, 10, 6},
	{6, 5, 17},
	{10, 19, 13},
	{5, 10, 17},
	{14, 16, 3},
	{3, 7, 12},
	{15, 12, 18},
	{2, 12, 8},
	{7, 3, 8},
	{8, 15, 18},
	{17, 10, 15},
	{13, 16, 5},
	{12, 7, 16},
	{11, 4, 5},
	{17, 9, 16},
	{4, 10, 5},
	{8, 5, 19},
	{2, 6, 11},
	{17, 8, 14},
	{14, 10, 3},
	{2, 12, 9},
	{6, 10, 19},
	{13, 6, 15},
	{16, 6, 9},
	{14, 12, 2},
	{15, 4, 5},
	{13, 13, 17},
	{11, 17, 16},
	{8, 16, 16},
	{5, 15, 7},
	{3, 14, 8},
	{6, 15, 3},
	{4, 6, 10},
	{16, 4, 12},
	{9, 11, 18},
	{6, 16, 15},
	{13, 2, 6},
	{10, 13, 1},
	{12, 12, 3},
	{13, 16, 3},
	{17, 6, 11},
	{10, 2, 9},
	{14, 4, 7},
	{2, 12, 11},
	{14, 12, 18},
	{12, 5, 3},
	{7, 6, 13},
	{17, 17, 9},
	{12, 10, 3},
	{14, 17, 11},
	{15, 17, 14},
	{3, 10, 14},
	{13, 18, 6},
	{11, 17, 6},
	{14, 17, 3},
	{16, 15, 8},
	{13, 9, 19},
	{8, 12, 3},
	{10, 18, 7},
	{11, 16, 17},
	{16, 5, 13},
	{9, 7, 3},
	{19, 7, 8},
	{14, 11, 3},
	{3, 11, 8},
	{4, 10, 15},
	{3, 9, 11},
	{10, 18, 8},
	{14, 17, 7},
	{17, 8, 13},
	{16, 3, 11},
	{19, 12, 6},
	{15, 9, 4},
	{4, 16, 10},
	{6, 3, 12},
	{19, 12, 13},
	{15, 5, 6},
	{13, 13, 2},
	{6, 5, 6},
	{6, 6, 15},
	{17, 4, 10},
	{12, 17, 16},
	{14, 7, 15},
	{8, 4, 17},
	{10, 4, 16},
	{14, 10, 19},
	{12, 9, 19},
	{14, 6, 16},
	{16, 16, 13},
	{12, 17, 7},
	{6, 17, 14},
	{16, 14, 3},
	{5, 10, 15},
	{2, 7, 8},
	{8, 10, 2},
	{9, 4, 15},
	{18, 8, 11},
	{16, 16, 10},
	{14, 19, 11},
	{11, 6, 4},
	{4, 6, 16},
	{18, 15, 13},
	{18, 13, 12},
	{8, 13, 3},
	{19, 11, 11},
	{6, 8, 4},
	{17, 16, 6},
	{5, 6, 9},
	{14, 18, 12},
	{9, 17, 16},
	{13, 15, 3},
	{7, 15, 18},
	{3, 12, 16},
	{10, 10, 19},
	{6, 12, 4},
	{4, 12, 18},
	{8, 2, 6},
	{13, 5, 17},
	{11, 4, 14},
	{18, 16, 11},
	{7, 3, 14},
	{8, 15, 3},
	{9, 18, 13},
	{5, 17, 13},
	{18, 16, 7},
	{14, 18, 8},
	{10, 2, 5},
	{6, 7, 17},
	{6, 18, 15},
	{5, 6, 16},
	{5, 8, 4},
	{19, 9, 11},
	{7, 3, 7},
	{11, 19, 13},
	{10, 8, 20},
	{10, 1, 12},
	{7, 11, 18},
	{9, 16, 4},
	{11, 18, 9},
	{3, 6, 11},
	{19, 13, 9},
	{6, 15, 17},
	{8, 9, 3},
	{18, 4, 10},
	{11, 7, 18},
	{9, 19, 14},
	{3, 4, 8},
	{17, 9, 5},
	{4, 7, 5},
	{15, 7, 17},
	{7, 19, 8},
	{7, 3, 9},
	{16, 8, 3},
	{18, 10, 15},
	{9, 20, 9},
	{14, 15, 14},
	{4, 9, 10},
	{8, 6, 4},
	{12, 10, 19},
	{4, 12, 17},
	{16, 17, 7},
	{13, 5, 8},
	{15, 7, 16},
	{6, 16, 6},
	{18, 9, 5},
	{5, 9, 17},
	{8, 2, 8},
	{17, 13, 7},
	{11, 18, 8},
	{10, 6, 19},
	{9, 5, 17},
	{11, 18, 5},
	{14, 4, 5},
	{11, 18, 7},
	{12, 9, 3},
	{19, 10, 5},
	{3, 7, 16},
	{2, 12, 13},
	{9, 8, 1},
	{4, 9, 6},
	{10, 15, 3},
	{18, 4, 11},
	{14, 13, 3},
	{17, 19, 10},
	{10, 17, 16},
	{5, 9, 3},
	{10, 18, 14},
	{12, 10, 2},
	{8, 18, 14},
	{11, 15, 4},
	{9, 17, 17},
	{4, 5, 10},
	{10, 15, 4},
	{5, 9, 11},
	{14, 3, 10},
	{4, 8, 6},
	{18, 12, 11},
	{6, 11, 19},
	{4, 16, 14},
	{10, 1, 10},
	{9, 4, 6},
	{4, 11, 8},
	{9, 14, 17},
	{12, 8, 18},
	{7, 8, 2},
	{2, 8, 10},
	{11, 11, 18},
	{16, 9, 4},
	{2, 11, 14},
	{14, 9, 2},
	{6, 15, 15},
	{7, 2, 9},
	{3, 5, 13},
	{5, 11, 3},
	{3, 13, 15},
	{3, 12, 15},
	{3, 6, 8},
	{12, 14, 20},
	{6, 19, 8},
	{19, 9, 6},
	{18, 11, 12},
	{6, 12, 16},
	{3, 8, 8},
	{15, 18, 7},
	{9, 19, 9},
	{8, 5, 18},
	{14, 4, 16},
	{14, 3, 12},
	{10, 16, 5},
	{3, 9, 6},
	{12, 9, 2},
	{18, 10, 5},
	{4, 10, 16},
	{2, 14, 10},
	{2, 8, 8},
	{6, 11, 4},
	{13, 6, 4},
	{13, 17, 10},
	{7, 2, 10},
	{16, 13, 18},
	{4, 4, 7},
	{13, 16, 19},
	{13, 6, 9},
	{5, 16, 11},
	{9, 5, 18},
	{15, 6, 12},
	{16, 3, 10},
	{7, 9, 20},
	{11, 3, 16},
	{15, 4, 7},
	{17, 13, 5},
	{6, 7, 4},
	{9, 3, 16},
	{17, 5, 7},
	{5, 5, 11},
	{5, 11, 14},
	{7, 19, 10},
	{14, 11, 4},
	{10, 4, 15},
	{5, 11, 16},
	{6, 18, 12},
	{13, 17, 4},
	{4, 13, 10},
	{11, 19, 7},
	{4, 11, 15},
	{10, 17, 18},
	{11, 2, 14},
	{8, 3, 5},
	{7, 10, 18},
	{9, 7, 19},
	{16, 11, 17},
	{3, 11, 5},
	{15, 3, 12},
	{8, 4, 4},
	{5, 4, 15},
	{11, 17, 15},
	{14, 6, 17},
	{9, 4, 5},
	{14, 2, 12},
	{12, 3, 14},
	{1, 9, 10},
	{10, 16, 18},
	{8, 13, 20},
	{3, 5, 9},
	{11, 2, 7},
	{6, 3, 9},
	{9, 6, 18},
	{17, 15, 16},
	{13, 17, 16},
	{3, 9, 17},
	{7, 14, 17},
	{17, 11, 6},
	{15, 8, 17},
	{3, 6, 16},
	{3, 7, 11},
	{17, 8, 6},
	{18, 8, 12},
	{5, 5, 13},
	{16, 18, 15},
	{8, 18, 10},
	{13, 16, 12},
	{18, 11, 7},
	{12, 17, 5},
	{7, 7, 4},
	{15, 15, 16},
	{7, 18, 13},
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	{7, 17, 17},
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	{10, 18, 10},
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	{11, 8, 20},
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	{11, 1, 12},
	{5, 5, 4},
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	{9, 2, 14},
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	{8, 19, 8},
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	{8, 6, 3},
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	{8, 3, 10},
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	{16, 18, 9},
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	{7, 17, 16},
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	{8, 17, 15},
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	{8, 20, 9},
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	{9, 11, 19},
	{7, 11, 19},
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	{1, 11, 11},
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	{9, 15, 15},
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	{12, 19, 10},
	{9, 3, 6},
	{13, 13, 19},
	{3, 7, 15},
	{12, 4, 4},
	{14, 20, 10},
	{6, 7, 18},
	{5, 10, 4},
	{2, 10, 9},
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	{17, 5, 14},
	{7, 7, 3},
	{8, 14, 18},
	{5, 17, 9},
	{9, 14, 18},
	{4, 13, 5},
	{5, 15, 6},
	{17, 18, 12},
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	{6, 5, 8},
	{15, 18, 13},
	{8, 15, 4},
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	{12, 10, 1},
	{18, 13, 15},
	{10, 1, 14},
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	{10, 4, 6},
	{11, 9, 3},
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	{6, 4, 13},
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	{12, 18, 8},
	{8, 6, 19},
	{16, 13, 4},
	{18, 14, 9},
	{7, 10, 4},
	{17, 10, 14},
	{17, 10, 11},
	{17, 8, 11},
	{10, 9, 19},
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	{18, 8, 15},
	{10, 14, 18},
	{10, 18, 9},
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	{5, 16, 8},
	{12, 7, 17},
	{4, 8, 4},
	{17, 10, 6},
	{19, 11, 8},
	{7, 7, 5},
	{2, 13, 10},
	{1, 11, 9},
	{13, 8, 17},
	{9, 14, 4},
	{16, 4, 7},
	{3, 11, 11},
	{9, 9, 1},
	{18, 16, 13},
	{4, 10, 4},
	{2, 16, 11},
	{7, 17, 6},
	{7, 5, 13},
	{7, 3, 12},
	{15, 9, 5},
	{2, 9, 13},
	{3, 11, 15},
	{6, 9, 4},
	{16, 9, 5},
	{8, 8, 19},
	{4, 7, 8},
	{5, 16, 14},
	{3, 9, 5},
	{15, 7, 14},
	{10, 5, 16},
	{17, 11, 13},
	{14, 14, 2},
	{5, 14, 4},
	{5, 13, 16},
	{5, 13, 6},
	{13, 4, 8},
	{12, 13, 16},
	{12, 8, 2},
	{17, 9, 7},
	{10, 12, 3},
	{9, 8, 17},
	{18, 11, 8},
	{15, 3, 13},
	{13, 19, 9},
	{11, 13, 2},
	{8, 18, 5},
	{4, 5, 6},
	{11, 17, 8},
	{15, 14, 5},
	{1, 13, 9},
	{2, 12, 6},
	{17, 5, 8},
	{17, 12, 8},
	{6, 18, 10},
	{19, 11, 15},
	{6, 6, 17},
	{12, 17, 9},
	{4, 17, 8},
	{13, 4, 15},
	{2, 12, 12},
	{9, 14, 2},
	{8, 5, 4},
	{15, 3, 8},
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	{10, 18, 4},
	{18, 5, 7},
	{6, 3, 7},
	{14, 1, 7},
	{18, 15, 6},
	{11, 6, 7},
	{9, 4, 17},
	{3, 15, 6},
	{11, 1, 11},
	{8, 19, 5},
	{10, 17, 10},
	{11, 3, 13},
	{15, 14, 16},
	{3, 15, 9},
	{14, 5, 16},
	{13, 17, 12},
	{12, 20, 14},
	{5, 13, 18},
	{1, 12, 10},
	{15, 2, 10},
	{9, 8, 19},
	{7, 14, 4},
	{8, 9, 17},
	{7, 18, 5},
	{13, 11, 2},
	{3, 10, 4},
	{4, 5, 14},
	{6, 4, 8},
	{11, 7, 16},
	{7, 2, 15},
	{19, 14, 8},
	{2, 14, 12},
	{2, 13, 9},
	{6, 15, 7},
	{4, 6, 11},
	{2, 10, 12},
	{4, 18, 10},
	{15, 17, 4},
	{3, 10, 16},
	{16, 14, 14},
	{15, 7, 18},
	{2, 7, 12},
	{13, 15, 4},
	{3, 9, 12},
	{10, 10, 1},
	{9, 5, 6},
	{15, 13, 5},
	{15, 3, 7},
	{10, 17, 2},
	{14, 5, 8},
	{12, 6, 3},
	{17, 7, 4},
	{15, 9, 17},
	{14, 11, 19},
	{8, 9, 20},
	{11, 6, 19},
	{9, 2, 6},
	{17, 7, 14},
	{7, 15, 4},
	{14, 13, 17},
	{13, 7, 3},
	{9, 18, 10},
	{6, 4, 11},
	{5, 3, 10},
	{8, 12, 2},
	{10, 20, 9},
	{11, 3, 7},
	{5, 10, 16},
	{16, 17, 11},
	{5, 5, 16},
	{6, 18, 14},
	{8, 20, 10},
	{6, 14, 14},
	{5, 4, 5},
	{7, 4, 5},
	{17, 12, 17},
	{13, 6, 3},
	{16, 10, 18},
	{8, 1, 9},
	{7, 4, 7},
	{11, 15, 17},
	{6, 13, 19},
	{4, 8, 17},
	{15, 6, 17},
	{2, 13, 11},
	{4, 17, 6},
	{9, 15, 18},
	{15, 5, 7},
	{12, 5, 15},
	{16, 7, 17},
	{11, 2, 4},
	{12, 13, 3},
	{10, 18, 13},
	{17, 6, 10},
	{16, 11, 2},
	{12, 18, 9},
	{8, 7, 17},
	{11, 17, 7},
	{10, 17, 6},
	{14, 5, 4},
	{12, 19, 15},
	{3, 10, 13},
	{15, 13, 2},
	{10, 2, 16},
	{10, 17, 15},
	{12, 8, 17},
	{9, 7, 4},
	{16, 6, 4},
	{8, 4, 15},
	{5, 12, 13},
	{13, 10, 2},
	{4, 7, 14},
	{17, 4, 11},
	{7, 14, 19},
	{9, 14, 19},
	{7, 10, 17},
	{12, 3, 7},
	{14, 14, 5},
	{5, 7, 4},
	{18, 4, 12},
	{14, 4, 14},
	{14, 8, 17},
	{15, 3, 9},
	{7, 20, 13},
	{8, 11, 17},
	{11, 18, 15},
	{16, 11, 18},
	{4, 12, 4},
	{17, 10, 16},
	{5, 15, 12},
	{17, 7, 7},
	{10, 6, 20},
	{2, 5, 10},
	{16, 14, 5},
	{18, 8, 7},
	{4, 16, 6},
	{2, 12, 7},
	{15, 17, 13},
	{18, 9, 7},
	{10, 2, 13},
	{10, 5, 17},
	{3, 14, 15},
	{18, 11, 6},
	{3, 12, 13},
	{11, 6, 16},
	{8, 3, 7},
	{9, 12, 18},
	{8, 3, 15},
	{9, 7, 17},
	{8, 10, 20},
	{18, 17, 10},
	{11, 20, 11},
	{17, 13, 9},
	{16, 12, 16},
	{10, 17, 7},
	{5, 4, 11},
	{6, 11, 3},
	{8, 3, 9},
	{17, 4, 13},
	{10, 9, 2},
	{17, 6, 12},
	{5, 8, 8},
	{19, 12, 9},
	{18, 10, 9},
	{18, 6, 14},
	{7, 10, 2},
	{17, 14, 11},
	{12, 20, 15},
	{15, 19, 11},
	{10, 5, 3},
	{18, 13, 14},
	{9, 13, 16},
	{1, 9, 13},
	{14, 5, 11},
	{6, 7, 15},
	{13, 3, 10},
	{14, 5, 12},
	{17, 11, 14},
	{4, 11, 18},
	{5, 15, 17},
	{12, 18, 5},
	{11, 9, 19},
	{4, 16, 7},
	{17, 10, 18},
	{17, 8, 12},
	{11, 17, 14},
	{15, 15, 3},
	{14, 5, 5},
	{4, 8, 8},
	{2, 15, 8},
	{16, 8, 15},
	{13, 14, 5},
	{12, 15, 19},
	{15, 6, 15},
	{6, 10, 18},
	{11, 16, 8},
	{18, 12, 8},
	{4, 14, 11},
	{4, 15, 6},
	{20, 12, 12},
	{13, 8, 4},
	{3, 6, 13},
	{10, 17, 8},
	{4, 16, 5},
	{5, 5, 15},
	{7, 10, 3},
	{13, 11, 4},
	{5, 9, 7},
	{17, 11, 5},
	{11, 13, 19},
	{2, 7, 14},
	{15, 18, 9},
	{16, 15, 13},
	{7, 8, 4},
	{6, 5, 13},
	{4, 12, 12},
	{17, 7, 16},
	{14, 12, 1},
	{18, 14, 6},
	{6, 14, 17},
	{16, 15, 11},
	{15, 6, 8},
	{2, 8, 6},
	{8, 16, 14},
	{13, 6, 6},
	{4, 4, 5},
	{14, 8, 16},
	{8, 3, 12},
	{10, 12, 4},
	{16, 10, 19},
	{3, 9, 8},
	{6, 14, 16},
	{15, 12, 4},
	{14, 6, 18},
	{7, 16, 7},
	{14, 6, 5},
	{5, 7, 17},
	{2, 15, 13},
	{13, 19, 10},
	{20, 10, 9},
	{14, 12, 5},
	{14, 19, 7},
	{4, 15, 14},
	{18, 14, 5},
	{3, 6, 12},
	{5, 3, 11},
	{20, 7, 12},
	{5, 4, 13},
	{17, 18, 11},
	{16, 16, 7},
	{14, 8, 18},
	{4, 14, 7},
	{5, 7, 8},
	{13, 10, 19},
	{12, 18, 6},
	{11, 8, 2},
	{8, 3, 6},
	{9, 15, 19},
	{18, 11, 15},
	{9, 9, 19},
	{1, 10, 8},
	{15, 15, 6},
	{4, 5, 9},
	{18, 17, 12},
	{7, 8, 5},
	{16, 16, 16},
	{17, 15, 13},
	{15, 9, 15},
	{13, 9, 3},
	{6, 13, 16},
	{20, 14, 12},
	{2, 8, 9},
	{9, 16, 16},
	{15, 17, 12},
	{5, 18, 8},
	{11, 20, 10},
	{18, 6, 8},
	{10, 20, 14},
	{18, 11, 11},
	{5, 7, 13},
	{9, 3, 13},
	{17, 11, 4},
	{3, 6, 15},
	{15, 11, 2},
	{7, 9, 5},
	{3, 14, 10},
	{12, 6, 13},
	{3, 13, 6},
	{2, 9, 10},
	{12, 7, 3},
	{12, 1, 10},
	{6, 2, 11},
	{8, 1, 11},
	{11, 11, 3},
	{14, 18, 7},
	{13, 1, 11},
	{9, 14, 3},
	{7, 6, 16},
	{5, 7, 6},
	{16, 17, 6},
	{12, 3, 4},
	{6, 5, 5},
	{5, 8, 6},
	{11, 20, 9},
	{8, 1, 8},
	{20, 12, 11},
	{3, 14, 11},
	{16, 5, 15},
	{20, 13, 11},
	{3, 17, 12},
	{18, 15, 8},
	{19, 9, 13},
	{9, 17, 5},
	{10, 17, 5},
	{11, 12, 18},
	{2, 16, 10},
	{19, 7, 12},
	{5, 19, 10},
	{6, 16, 10},
	{4, 6, 5},
	{18, 7, 14},
	{10, 3, 3},
	{19, 10, 10},
	{5, 5, 7},
	{20, 15, 9},
	{11, 17, 17},
	{9, 10, 19},
	{8, 15, 6},
	{13, 14, 19},
	{16, 15, 7},
	{15, 15, 10},
	{6, 5, 4},
	{9, 4, 7},
	{10, 17, 17},
	{17, 11, 3},
	{14, 11, 2},
	{9, 18, 8},
	{8, 2, 10},
	{1, 8, 11},
	{12, 2, 8},
	{17, 12, 7},
	{14, 14, 18},
	{15, 11, 18},
	{13, 4, 4},
	{10, 1, 11},
	{2, 11, 10},
	{20, 10, 12},
	{12, 11, 19},
	{7, 15, 19},
	{6, 14, 5},
	{19, 12, 5},
	{14, 4, 13},
	{11, 4, 17},
	{8, 19, 14},
	{12, 3, 15},
	{11, 18, 6},
	{5, 4, 7},
	{12, 14, 5},
	{9, 19, 7},
	{12, 1, 8},
	{5, 8, 18},
	{15, 5, 17},
	{14, 13, 19},
	{5, 10, 9},
	{12, 5, 18},
	{6, 15, 9},
	{8, 18, 15},
	{3, 15, 14},
	{3, 4, 9},
	{8, 16, 15},
	{7, 7, 2},
	{4, 3, 13},
	{4, 10, 13},
	{6, 4, 9},
	{2, 7, 11},
	{8, 19, 11},
	{19, 10, 13},
	{15, 13, 17},
	{6, 13, 6},
	{16, 5, 10},
	{15, 7, 3},
	{1, 11, 12},
	{19, 9, 7},
	{12, 18, 12},
	{8, 14, 19},
	{15, 2, 13},
	{13, 10, 1},
	{15, 10, 2},
	{5, 14, 16},
	{9, 0, 9},
	{12, 4, 15},
	{12, 4, 18},
	{5, 6, 14},
	{5, 12, 18},
	{13, 10, 5},
	{7, 6, 3},
	{16, 13, 6},
	{6, 7, 16},
	{13, 5, 11},
	{5, 10, 3},
	{2, 10, 15},
	{4, 5, 8},
	{1, 13, 12},
	{3, 7, 8},
	{16, 12, 3},
	{7, 4, 10},
	{4, 11, 14},
	{18, 16, 14},
	{13, 2, 9},
	{11, 12, 4},
	{7, 17, 12},
	{5, 17, 10},
	{7, 8, 16},
	{16, 12, 15},
	{11, 14, 18},
	{20, 13, 9},
	{6, 12, 18},
	{11, 2, 10},
	{9, 17, 9},
	{13, 7, 2},
	{18, 8, 6},
	{7, 4, 14},
	{11, 17, 9},
	{5, 13, 5},
	{4, 11, 13},
	{19, 5, 11},
	{9, 19, 6},
	{14, 8, 2},
	{14, 14, 4},
	{19, 9, 12},
	{18, 16, 10},
	{8, 17, 16},
	{12, 17, 17},
	{7, 19, 11},
	{4, 11, 6},
	{14, 17, 17},
	{17, 14, 17},
	{6, 15, 13},
	{8, 14, 4},
	{9, 10, 20},
	{13, 7, 19},
	{9, 20, 13},
	{4, 13, 9},
	{6, 16, 18},
	{13, 19, 15},
	{20, 7, 11},
	{11, 3, 12},
	{13, 7, 5},
	{17, 12, 4},
	{7, 14, 18},
	{11, 19, 9},
	{7, 5, 6},
	{8, 2, 13},
	{18, 12, 10},
	{13, 18, 16},
	{18, 15, 12},
	{1, 10, 10},
	{6, 15, 18},
	{8, 6, 15},
	{14, 15, 16},
	{16, 5, 6},
	{15, 13, 7},
	{11, 16, 15},
	{17, 9, 4},
	{17, 14, 15},
	{15, 3, 15},
	{12, 3, 13},
	{4, 11, 16},
	{17, 5, 10},
	{14, 8, 5},
	{6, 5, 3},
	{5, 5, 3},
	{5, 7, 16},
	{4, 6, 15},
	{14, 18, 9},
	{13, 18, 12},
	{10, 13, 20},
	{2, 14, 13},
	{1, 14, 7},
	{7, 14, 5},
	{4, 7, 7},
	{4, 15, 10},
	{15, 10, 4},
	{12, 7, 19},
	{4, 7, 4},
	{17, 15, 8},
	{18, 7, 12},
	{7, 18, 11},
	{18, 14, 8},
	{14, 9, 4},
	{17, 14, 12},
	{13, 3, 11},
	{15, 2, 11},
	{8, 15, 2},
	{15, 15, 5},
	{4, 10, 17},
	{4, 7, 12},
	{7, 19, 7},
	{3, 8, 14},
	{19, 8, 15},
	{3, 17, 11},
	{13, 3, 8},
	{17, 13, 14},
	{13, 18, 10},
	{8, 8, 2},
	{3, 8, 5},
	{17, 16, 8},
	{9, 16, 14},
	{10, 16, 3},
	{5, 2, 12},
	{14, 16, 15},
	{13, 10, 18},
	{15, 5, 9},
	{10, 3, 15},
	{6, 13, 3},
	{13, 11, 3},
	{4, 15, 5},
	{1, 9, 11},
	{17, 15, 12},
	{5, 5, 6},
	{5, 15, 4},
	{9, 20, 11},
	{12, 3, 3},
	{19, 10, 14},
	{18, 10, 16},
	{15, 14, 6},
	{17, 12, 14},
	{12, 17, 8},
	{15, 9, 3},
	{3, 5, 7},
	{6, 15, 16},
	{9, 11, 20},
	{6, 5, 11},
	{13, 7, 18},
	{20, 13, 10},
	{2, 14, 7},
	{15, 6, 4},
	{16, 16, 6},
	{6, 16, 4},
	{3, 11, 13},
	{15, 15, 18},
	{9, 19, 15},
	{3, 10, 7},
	{9, 12, 4},
	{12, 3, 16},
	{16, 15, 18},
	{8, 11, 19},
	{14, 11, 18},
	{4, 9, 16},
	{15, 12, 15},
	{16, 6, 15},
	{8, 13, 19},
	{9, 1, 8},
	{9, 4, 16},
	{6, 10, 16},
	{13, 6, 19},
	{16, 17, 8},
	{6, 4, 15},
	{9, 18, 17},
	{7, 11, 15},
	{10, 10, 3},
	{17, 9, 17},
	{14, 8, 4},
	{3, 5, 14},
	{14, 7, 16},
	{17, 16, 15},
	{13, 18, 11},
	{16, 11, 16},
	{17, 13, 4},
	{18, 13, 7},
	{10, 3, 11},
	{13, 11, 1},
	{12, 12, 18},
	{16, 7, 4},
	{5, 9, 4},
	{5, 19, 12},
	{3, 7, 4},
	{15, 5, 13},
	{18, 8, 4},
	{8, 13, 1},
	{7, 2, 14},
	{17, 17, 15},
	{6, 5, 7},
	{21, 11, 9},
	{12, 15, 4},
	{2, 10, 7},
	{8, 3, 11},
	{20, 11, 7},
	{14, 2, 15},
	{16, 6, 6},
	{15, 16, 16},
	{6, 4, 10},
	{3, 7, 7},
	{4, 10, 7},
	{5, 6, 15},
	{18, 7, 15},
	{16, 15, 14},
	{16, 4, 14},
	{17, 3, 9},
	{9, 8, 5},
	{16, 9, 16},
	{16, 7, 14},
	{17, 6, 6},
	{16, 10, 4},
	{9, 1, 13},
	{16, 14, 11},
	{12, 2, 9},
	{10, 3, 9},
	{15, 18, 8},
	{14, 13, 18},
	{10, 7, 17},
	{10, 15, 18},
	{14, 2, 9},
	{2, 9, 12},
	{13, 18, 13},
	{6, 4, 14},
	{4, 3, 9},
	{8, 5, 10},
	{13, 4, 12},
	{3, 13, 8},
	{12, 15, 18},
	{7, 9, 4},
	{18, 6, 15},
	{1, 12, 12},
	{3, 5, 8},
	{12, 1, 11},
	{11, 5, 3},
	{6, 12, 7},
	{17, 14, 6},
	{10, 10, 17},
	{4, 7, 17},
	{11, 20, 13},
	{20, 11, 13},
	{4, 12, 13},
	{7, 10, 16},
	{12, 14, 4},
	{13, 3, 5},
	{15, 18, 15},
	{9, 8, 4},
	{15, 16, 11},
	{17, 9, 12},
	{9, 7, 2},
	{7, 6, 18},
	{10, 16, 17},
	{5, 8, 5},
	{4, 4, 6},
	{12, 4, 16},
	{11, 15, 3},
	{19, 14, 14},
	{17, 12, 11},
	{15, 8, 18},
	{9, 12, 3},
	{16, 7, 10},
	{16, 14, 10},
	{10, 12, 18},
	{13, 17, 8},
	{12, 20, 13},
	{15, 13, 13},
	{2, 9, 15},
	{9, 9, 17},
	{5, 12, 16},
	{5, 12, 7},
	{7, 7, 15},
	{5, 3, 8},
	{3, 10, 5},
	{14, 2, 13},
	{5, 14, 17},
	{11, 16, 2},
	{20, 11, 12},
	{10, 16, 2},
	{17, 10, 13},
	{8, 17, 7},
	{7, 20, 8},
	{7, 15, 16},
	{5, 16, 6},
	{13, 12, 19},
	{9, 19, 12},
	{12, 14, 19},
	{13, 2, 7},
	{12, 8, 4},
	{18, 7, 16},
	{16, 7, 18},
	{17, 6, 9},
	{7, 5, 3},
	{20, 11, 14},
	{4, 8, 5},
	{14, 3, 5},
	{11, 14, 1},
	{7, 11, 3},
	{10, 15, 2},
	{9, 18, 15},
	{6, 14, 6},
	{14, 1, 10},
	{11, 18, 14},
	{16, 17, 13},
	{12, 15, 8},
	{13, 12, 15},
	{2, 11, 12},
	{15, 18, 5},
	{15, 2, 9},
	{10, 3, 4},
	{18, 13, 10},
	{2, 8, 13},
	{7, 14, 2},
	{17, 14, 14},
	{4, 4, 12},
	{13, 15, 10},
	{2, 10, 6},
	{7, 3, 5},
	{20, 10, 6},
	{3, 11, 6},
	{18, 10, 12},
	{12, 20, 8},
	{11, 1, 14},
	{6, 16, 11},
	{4, 14, 5},
	{5, 3, 9},
	{6, 14, 18},
	{12, 5, 17},
	{5, 5, 9},
	{5, 18, 11},
	{5, 6, 11},
	{3, 12, 4},
	{3, 12, 8},
	{16, 14, 7},
	{14, 8, 3},
	{9, 18, 6},
	{7, 4, 12},
	{15, 16, 7},
	{16, 19, 13},
	{19, 11, 10},
	{10, 19, 10},
	{15, 14, 2},
	{9, 4, 19},
	{13, 4, 14},
	{2, 9, 14},
	{16, 10, 16},
	{19, 12, 11},
	{9, 17, 14},
	{4, 7, 11},
	{17, 16, 16},
	{16, 10, 3},
	{9, 5, 3},
	{5, 11, 12},
	{13, 16, 15},
	{12, 11, 1},
	{11, 1, 7},
	{17, 4, 7},
	{12, 20, 12},
	{6, 14, 8},
	{14, 4, 15},
	{13, 18, 5},
	{16, 13, 10},
	{12, 5, 6},
	{2, 8, 5},
	{6, 6, 18},
	{8, 5, 5},
	{16, 9, 14},
	{11, 10, 18},
	{21, 11, 10},
	{8, 4, 12},
	{6, 17, 10},
	{8, 13, 4},
	{5, 15, 16},
	{19, 7, 11},
	{18, 14, 15},
	{17, 6, 15},
	{14, 12, 17},
	{10, 1, 9},
	{5, 11, 7},
	{20, 13, 12},
	{8, 7, 2},
	{10, 19, 15},
	{15, 8, 4},
	{13, 12, 20},
	{11, 13, 20},
	{8, 2, 7},
	{13, 2, 15},
	{13, 4, 10},
	{3, 3, 11},
	{19, 11, 7},
	{5, 16, 15},
	{15, 14, 8},
	{2, 11, 6},
	{2, 10, 11},
	{19, 14, 7},
	{4, 3, 10},
	{16, 13, 19},
	{11, 7, 17},
	{5, 15, 11},
	{9, 16, 15},
	{11, 3, 15},
	{17, 7, 12},
	{18, 9, 11},
	{16, 5, 5},
	{4, 14, 12},
	{8, 16, 11},
	{2, 10, 5},
	{8, 19, 6},
	{12, 20, 9},
	{2, 9, 7},
	{19, 14, 9},
	{11, 9, 2},
	{3, 7, 9},
	{14, 3, 7},
	{12, 18, 13},
	{14, 2, 14},
	{13, 16, 6},
	{18, 13, 11},
	{2, 15, 10},
	{17, 6, 16},
	{13, 15, 15},
	{18, 13, 5},
	{16, 8, 16},
	{14, 13, 4},
	{10, 9, 3},
	{1, 9, 8},
	{15, 15, 15},
	{12, 1, 13},
	{16, 12, 17},
	{10, 8, 18},
	{3, 9, 14},
	{18, 8, 5},
	{12, 15, 5},
	{2, 8, 15},
	{8, 16, 19},
	{16, 7, 12},
	{4, 15, 15},
	{10, 4, 4},
	{10, 4, 13},
	{21, 10, 11},
	{14, 17, 14},
	{13, 2, 10},
	{15, 17, 11},
	{9, 5, 2},
	{12, 3, 11},
	{18, 7, 10},
	{17, 14, 8},
	{5, 3, 7},
	{15, 6, 18},
	{20, 9, 12},
	{17, 11, 9},
	{15, 13, 16},
	{4, 12, 5},
	{3, 5, 10},
	{6, 18, 9},
	{15, 8, 14},
	{14, 16, 6},
	{5, 7, 14},
	{13, 13, 3},
	{3, 16, 7},
	{6, 17, 6},
	{10, 18, 5},
	{14, 8, 15},
	{16, 17, 15},
	{8, 8, 3},
	{10, 2, 6},
	{16, 6, 13},
	{6, 6, 13},
	{14, 14, 3},
	{7, 13, 3},
	{8, 13, 17},
	{9, 14, 5},
	{16, 12, 18},
	{8, 14, 17},
	{3, 5, 11},
	{12, 19, 9},
	{5, 8, 3},
	{7, 11, 4},
	{16, 8, 8},
	{13, 13, 18},
	{20, 10, 8},
	{1, 8, 9},
	{10, 5, 5},
	{4, 12, 11},
	{14, 13, 16},
	{5, 9, 19},
	{17, 8, 3},
	{13, 5, 18},
	{12, 1, 12},
	{9, 17, 7},
	{4, 13, 13},
	{8, 18, 7},
	{16, 15, 16},
	{16, 11, 12},
	{12, 17, 12},
	{13, 17, 9},
	{13, 2, 11},
	{13, 3, 12},
	{13, 9, 1},
	{16, 10, 6},
	{15, 6, 7},
	{9, 18, 16},
	{19, 8, 14},
	{5, 10, 5},
	{6, 4, 12},
	{13, 6, 16},
	{5, 16, 12},
	{18, 6, 17},
	{6, 17, 12},
	{6, 8, 14},
	{6, 19, 11},
	{14, 11, 17},
	{5, 8, 15},
	{7, 2, 12},
	{14, 4, 10},
	{4, 10, 18},
	{16, 17, 9},
	{17, 10, 17},
	{5, 4, 14},
	{5, 16, 16},
	{5, 16, 4},
	{15, 17, 17},
	{13, 15, 18},
	{13, 5, 14},
	{10, 0, 11},
	{8, 4, 5},
	{13, 17, 13},
	{16, 13, 15},
	{3, 9, 9},
	{13, 5, 13},
	{19, 13, 13},
	{16, 16, 15},
	{13, 14, 17},
	{5, 10, 18},
	{12, 17, 4},
	{4, 10, 12},
	{7, 7, 19},
	{14, 9, 20},
	{13, 16, 8},
	{3, 9, 13},
	{16, 5, 11},
	{7, 17, 10},
	{5, 19, 8},
	{8, 6, 9},
	{6, 12, 6},
	{3, 13, 9},
	{14, 10, 17},
	{5, 6, 10},
	{19, 14, 13},
	{17, 9, 18},
	{11, 19, 14},
	{8, 6, 7},
	{10, 15, 15},
	{5, 10, 7},
	{11, 4, 7},
	{8, 17, 14},
	{5, 10, 2},
	{6, 17, 17},
	{14, 7, 18},
	{4, 12, 15},
	{13, 8, 16},
	{10, 19, 12},
	{12, 6, 18},
	{10, 5, 7},
	{15, 11, 19},
	{11, 3, 8},
	{17, 13, 13},
	{16, 16, 12},
	{15, 5, 14},
	{5, 10, 11},
	{15, 19, 6},
	{12, 3, 6},
	{16, 8, 5},
	{12, 12, 20},
	{10, 18, 16},
	{6, 12, 15},
	{17, 14, 10},
	{9, 10, 17},
	{19, 15, 12},
	{12, 7, 2},
	{14, 7, 2},
	{16, 14, 16},
	{8, 20, 7},
	{18, 5, 9},
	{13, 13, 1},
	{13, 20, 14},
	{15, 4, 16},
	{18, 5, 13},
	{5, 9, 2},
	{12, 13, 1},
	{17, 13, 10},
	{1, 14, 11},
	{12, 16, 15},
	{7, 5, 17},
	{15, 11, 17},
	{15, 10, 5},
	{17, 9, 10},
	{8, 16, 4},
	{4, 17, 9},
	{11, 8, 17},
	{8, 9, 1},
	{4, 5, 7},
	{10, 17, 13},
	{6, 19, 13},
	{13, 16, 7},
	{17, 13, 12},
	{12, 9, 1},
	{10, 15, 19},
	{7, 3, 15},
	{8, 17, 12},
	{11, 14, 19},
	{16, 6, 8},
	{5, 14, 13},
	{15, 10, 7},
	{12, 3, 12},
	{7, 13, 2},
	{7, 16, 8},
	{2, 7, 13},
	{3, 10, 12},
	{5, 17, 15},
	{7, 5, 8},
	{5, 5, 5},
	{8, 3, 13},
	{19, 9, 5},
	{16, 5, 9},
	{11, 12, 3},
	{3, 14, 6},
	{16, 12, 4},
	{14, 18, 15},
	{14, 3, 16},
	{8, 12, 5},
	{5, 14, 7},
	{5, 9, 5},
	{3, 12, 14},
	{10, 16, 7},
	{13, 5, 5},
	{13, 6, 8},
	{12, 11, 3},
	{6, 1, 14},
	{18, 6, 7},
	{15, 19, 7},
	{13, 17, 14},
	{16, 8, 2},
	{4, 5, 12},
	{8, 8, 5},
	{10, 1, 8},
	{16, 13, 13},
	{11, 2, 15},
	{14, 17, 10},
	{14, 5, 3},
	{8, 18, 11},
	{16, 12, 6},
	{7, 17, 15},
	{4, 14, 10},
	{9, 13, 18},
	{9, 17, 10},
	{7, 20, 10},
	{16, 19, 9},
	{14, 18, 17},
	{18, 9, 4},
	{14, 13, 15},
	{4, 4, 14},
	{15, 10, 17},
	{17, 5, 6},
	{4, 15, 12},
	{13, 14, 16},
	{16, 6, 17},
	{13, 19, 13},
	{11, 8, 18},
	{3, 8, 12},
	{4, 13, 15},
	{11, 18, 4},
	{6, 11, 15},
	{13, 8, 20},
	{8, 10, 4},
	{1, 7, 10},
	{7, 7, 20},
	{4, 8, 12},
	{4, 9, 14},
	{20, 11, 10},
	{15, 4, 9},
	{7, 11, 1},
	{16, 4, 15},
	{8, 7, 19},
	{17, 9, 6},
	{9, 7, 18},
	{19, 7, 13},
	{11, 1, 13},
	{7, 14, 15},
	{12, 5, 5},
	{17, 17, 14},
	{12, 14, 16},
	{5, 7, 5},
	{8, 7, 4},
	{6, 15, 12},
	{5, 7, 7},
	{10, 6, 16},
	{1, 8, 14},
	{4, 7, 9},
	{11, 3, 11},
	{8, 16, 2},
	{13, 17, 15},
	{5, 8, 13},
	{5, 7, 18},
	{7, 2, 8},
	{17, 10, 8},
	{11, 12, 20},
	{8, 17, 10},
	{6, 6, 14},
	{4, 7, 10},
	{7, 3, 6},
	{5, 14, 3},
	{13, 18, 8},
	{4, 16, 15},
}

func TestDay18Part1(t *testing.T) {
	expectedRes := 4636
	if res := day18Part1(input18); res != expectedRes {
		t.Errorf("expected res is %v,what we get is %v", expectedRes, res)
	}
}
