path_hardcore

['[1, 0, 0, 0, 0, 0, 0, 0]', '[2, 0, 0, 0, 0, 0, 0, 0]', '[2, 1, 0, 0, 0, 0, 0, 0]', '[2, 2, 0, 0, 0, 0, 0, 0]', '[2, 2, 1, 0, 0, 0, 0, 0]', '[2, 2, 2, 0, 0, 0, 0, 0]', '[2, 2, 2, 1, 0, 0, 0, 0]', '[2, 2, 2, 2, 0, 0, 0, 0]', '[2, 2, 2, 3, 0, 0, 0, 0]', '[2, 2, 2, 3, 1, 0, 0, 0]', '[2, 2, 2, 3, 2, 0, 0, 0]', '[2, 2, 2, 3, 3, 0, 0, 0]', '[2, 2, 2, 3, 4, 0, 0, 0]', '[2, 2, 2, 3, 4, 1, 0, 0]', '[2, 2, 2, 3, 4, 2, 0, 0]', '[2, 2, 2, 3, 4, 3, 0, 0]', '[2, 2, 2, 3, 4, 4, 0, 0]', '[2, 2, 2, 3, 4, 5, 0, 0]', '[2, 2, 2, 3, 4, 6, 0, 0]', '[2, 2, 2, 3, 4, 7, 0, 0]', '[2, 2, 2, 3, 4, 7, 1, 0]', '[2, 2, 2, 3, 4, 7, 2, 0]', '[2, 2, 2, 3, 4, 7, 3, 0]', '[2, 2, 2, 3, 4, 7, 4, 0]', '[2, 2, 2, 3, 4, 7, 5, 0]', '[2, 2, 2, 3, 4, 7, 6, 0]', '[2, 2, 2, 3, 4, 7, 7, 0]', '[2, 2, 2, 3, 4, 7, 8, 0]', '[2, 2, 2, 3, 4, 7, 8, 1]', 'end']