{33, 3, 3, 2, 0, 2, 2, 3, 1, 1}
{33, 3, 3, 2, 0, 2, 2, 1, 3, 1}
{33, 3, 3, 1, 0, 2, 2, 3, 2, 1}
{33, 3, 3, 1, 0, 2, 2, 2, 3, 1}
{33, 3, 2, 3, 0, 2, 2, 3, 1, 1}
{33, 3, 2, 3, 0, 2, 2, 1, 3, 1}
{33, 3, 2, 1, 0, 6, 1, 2, 1, 1}
{33, 3, 2, 1, 0, 6, 1, 1, 2, 1}
{33, 3, 2, 1, 0, 1, 6, 2, 1, 1}
{33, 3, 2, 1, 0, 1, 6, 1, 2, 1}
{33, 3, 1, 3, 0, 2, 2, 3, 2, 1}
{33, 3, 1, 3, 0, 2, 2, 2, 3, 1}
{33, 3, 1, 2, 0, 6, 1, 2, 1, 1}
{33, 3, 1, 2, 0, 6, 1, 1, 2, 1}
{33, 3, 1, 2, 0, 1, 6, 2, 1, 1}
{33, 3, 1, 2, 0, 1, 6, 1, 2, 1}
{32, 2, 5, 3, 0, 4, 1, 1, 1, 1}
{32, 2, 3, 5, 0, 4, 1, 1, 1, 1}
{32, 2, 1, 1, 0, 1, 4, 5, 3, 1}
{32, 2, 1, 1, 0, 1, 4, 3, 5, 1}
{30, 6, 3, 3, 0, 2, 3, 1, 1, 1}
{30, 6, 1, 1, 0, 3, 2, 3, 3, 1}
{30, 5, 5, 2, 0, 1, 2, 3, 1, 1}
{30, 5, 5, 2, 0, 1, 2, 1, 3, 1}
{30, 5, 3, 1, 0, 2, 1, 5, 2, 1}
{30, 5, 3, 1, 0, 2, 1, 2, 5, 1}
{30, 5, 2, 5, 0, 1, 2, 3, 1, 1}
{30, 5, 2, 5, 0, 1, 2, 1, 3, 1}
{30, 5, 1, 3, 0, 2, 1, 5, 2, 1}
{30, 5, 1, 3, 0, 2, 1, 2, 5, 1}
{28, 4, 9, 2, 0, 1, 1, 3, 1, 1}
{28, 4, 9, 2, 0, 1, 1, 1, 3, 1}
{28, 4, 8, 2, 0, 1, 2, 2, 2, 1}
{28, 4, 8, 1, 0, 4, 1, 2, 1, 1}
{28, 4, 8, 1, 0, 4, 1, 1, 2, 1}
{28, 4, 7, 2, 0, 1, 4, 2, 1, 1}
{28, 4, 7, 2, 0, 1, 4, 1, 2, 1}
{28, 4, 7, 1, 0, 4, 1, 2, 2, 1}
{28, 4, 6, 1, 0, 4, 1, 3, 2, 1}
{28, 4, 6, 1, 0, 4, 1, 2, 3, 1}
{28, 4, 5, 3, 0, 2, 5, 1, 1, 1}
{28, 4, 5, 2, 0, 1, 4, 4, 1, 1}
{28, 4, 5, 2, 0, 1, 4, 1, 4, 1}
{28, 4, 5, 1, 0, 4, 1, 4, 2, 1}
{28, 4, 5, 1, 0, 4, 1, 2, 4, 1}
{28, 4, 4, 4, 0, 3, 4, 1, 1, 1}
{28, 4, 4, 4, 0, 1, 6, 1, 1, 1}
{28, 4, 4, 4, 0, 1, 4, 2, 2, 1}
{28, 4, 4, 2, 0, 1, 4, 5, 1, 1}
{28, 4, 4, 2, 0, 1, 4, 1, 5, 1}
{28, 4, 4, 1, 0, 4, 1, 5, 2, 1}
{28, 4, 4, 1, 0, 4, 1, 2, 5, 1}
{28, 4, 3, 5, 0, 2, 5, 1, 1, 1}
{28, 4, 3, 2, 0, 1, 4, 6, 1, 1}
{28, 4, 3, 2, 0, 1, 4, 1, 6, 1}
{28, 4, 3, 1, 0, 1, 1, 9, 2, 1}
{28, 4, 3, 1, 0, 1, 1, 2, 9, 1}
{28, 4, 2, 9, 0, 1, 1, 3, 1, 1}
{28, 4, 2, 9, 0, 1, 1, 1, 3, 1}
{28, 4, 2, 8, 0, 1, 2, 2, 2, 1}
{28, 4, 2, 7, 0, 1, 4, 2, 1, 1}
{28, 4, 2, 7, 0, 1, 4, 1, 2, 1}
{28, 4, 2, 5, 0, 1, 4, 4, 1, 1}
{28, 4, 2, 5, 0, 1, 4, 1, 4, 1}
{28, 4, 2, 4, 0, 1, 4, 5, 1, 1}
{28, 4, 2, 4, 0, 1, 4, 1, 5, 1}
{28, 4, 2, 3, 0, 1, 4, 6, 1, 1}
{28, 4, 2, 3, 0, 1, 4, 1, 6, 1}
{28, 4, 2, 2, 0, 4, 1, 4, 4, 1}
{28, 4, 2, 2, 0, 2, 1, 8, 2, 1}
{28, 4, 2, 2, 0, 2, 1, 2, 8, 1}
{28, 4, 2, 2, 0, 1, 4, 7, 1, 1}
{28, 4, 2, 2, 0, 1, 4, 1, 7, 1}
{28, 4, 2, 1, 0, 4, 1, 7, 2, 1}
{28, 4, 2, 1, 0, 4, 1, 2, 7, 1}
{28, 4, 2, 1, 0, 1, 4, 8, 1, 1}
{28, 4, 2, 1, 0, 1, 4, 1, 8, 1}
{28, 4, 1, 8, 0, 4, 1, 2, 1, 1}
{28, 4, 1, 8, 0, 4, 1, 1, 2, 1}
{28, 4, 1, 7, 0, 4, 1, 2, 2, 1}
{28, 4, 1, 6, 0, 4, 1, 3, 2, 1}
{28, 4, 1, 6, 0, 4, 1, 2, 3, 1}
{28, 4, 1, 5, 0, 4, 1, 4, 2, 1}
{28, 4, 1, 5, 0, 4, 1, 2, 4, 1}
{28, 4, 1, 4, 0, 4, 1, 5, 2, 1}
{28, 4, 1, 4, 0, 4, 1, 2, 5, 1}
{28, 4, 1, 3, 0, 1, 1, 9, 2, 1}
{28, 4, 1, 3, 0, 1, 1, 2, 9, 1}
{28, 4, 1, 2, 0, 4, 1, 7, 2, 1}
{28, 4, 1, 2, 0, 4, 1, 2, 7, 1}
{28, 4, 1, 2, 0, 1, 4, 8, 1, 1}
{28, 4, 1, 2, 0, 1, 4, 1, 8, 1}
{28, 4, 1, 1, 0, 6, 1, 4, 4, 1}
{28, 4, 1, 1, 0, 5, 2, 5, 3, 1}
{28, 4, 1, 1, 0, 5, 2, 3, 5, 1}
{28, 4, 1, 1, 0, 4, 3, 4, 4, 1}
{27, 1, 8, 3, 0, 6, 1, 2, 1, 1}
{27, 1, 8, 3, 0, 6, 1, 1, 2, 1}
{27, 1, 3, 8, 0, 6, 1, 2, 1, 1}
{27, 1, 3, 8, 0, 6, 1, 1, 2, 1}
{27, 1, 2, 1, 0, 1, 6, 8, 3, 1}
{27, 1, 2, 1, 0, 1, 6, 3, 8, 1}
{27, 1, 1, 2, 0, 1, 6, 8, 3, 1}
{27, 1, 1, 2, 0, 1, 6, 3, 8, 1}
{26, 4, 6, 5, 0, 3, 3, 1, 1, 1}
{26, 4, 5, 6, 0, 3, 3, 1, 1, 1}
{26, 4, 1, 1, 0, 3, 3, 6, 5, 1}
{26, 4, 1, 1, 0, 3, 3, 5, 6, 1}
{26, 2, 13, 3, 0, 1, 1, 2, 1, 1}
{26, 2, 13, 3, 0, 1, 1, 1, 2, 1}
{26, 2, 8, 3, 0, 1, 1, 7, 1, 1}
{26, 2, 8, 3, 0, 1, 1, 1, 7, 1}
{26, 2, 7, 1, 0, 1, 1, 8, 3, 1}
{26, 2, 7, 1, 0, 1, 1, 3, 8, 1}
{26, 2, 3, 13, 0, 1, 1, 2, 1, 1}
{26, 2, 3, 13, 0, 1, 1, 1, 2, 1}
{26, 2, 3, 8, 0, 1, 1, 7, 1, 1}
{26, 2, 3, 8, 0, 1, 1, 1, 7, 1}
{26, 2, 2, 1, 0, 1, 1, 13, 3, 1}
{26, 2, 2, 1, 0, 1, 1, 3, 13, 1}
{26, 2, 1, 7, 0, 1, 1, 8, 3, 1}
{26, 2, 1, 7, 0, 1, 1, 3, 8, 1}
{26, 2, 1, 2, 0, 1, 1, 13, 3, 1}
{26, 2, 1, 2, 0, 1, 1, 3, 13, 1}
{25, 5, 4, 2, 0, 3, 8, 1, 1, 1}
{25, 5, 2, 4, 0, 3, 8, 1, 1, 1}
{25, 5, 1, 1, 0, 8, 3, 4, 2, 1}
{25, 5, 1, 1, 0, 8, 3, 2, 4, 1}
{25, 4, 5, 3, 0, 5, 5, 1, 1, 1}
{25, 4, 3, 5, 0, 5, 5, 1, 1, 1}
{25, 4, 1, 1, 0, 5, 5, 5, 3, 1}
{25, 4, 1, 1, 0, 5, 5, 3, 5, 1}
{24, 8, 11, 1, 0, 2, 1, 1, 1, 1}
{24, 8, 7, 1, 0, 1, 2, 5, 1, 1}
{24, 8, 7, 1, 0, 1, 2, 1, 5, 1}
{24, 8, 6, 3, 0, 1, 1, 4, 2, 1}
{24, 8, 6, 3, 0, 1, 1, 2, 4, 1}
{24, 8, 6, 1, 0, 3, 5, 1, 1, 1}
{24, 8, 5, 1, 0, 2, 1, 7, 1, 1}
{24, 8, 5, 1, 0, 2, 1, 1, 7, 1}
{24, 8, 4, 4, 0, 4, 2, 2, 1, 1}
{24, 8, 4, 4, 0, 4, 2, 1, 2, 1}
{24, 8, 4, 2, 0, 1, 6, 3, 1, 1}
{24, 8, 4, 2, 0, 1, 6, 1, 3, 1}
{24, 8, 4, 2, 0, 1, 1, 6, 3, 1}
{24, 8, 4, 2, 0, 1, 1, 3, 6, 1}
{24, 8, 3, 6, 0, 1, 1, 4, 2, 1}
{24, 8, 3, 6, 0, 1, 1, 2, 4, 1}
{24, 8, 3, 1, 0, 6, 1, 4, 2, 1}
{24, 8, 3, 1, 0, 6, 1, 2, 4, 1}
{24, 8, 3, 1, 0, 3, 7, 2, 1, 1}
{24, 8, 3, 1, 0, 3, 7, 1, 2, 1}
{24, 8, 2, 4, 0, 1, 6, 3, 1, 1}
{24, 8, 2, 4, 0, 1, 6, 1, 3, 1}
{24, 8, 2, 4, 0, 1, 1, 6, 3, 1}
{24, 8, 2, 4, 0, 1, 1, 3, 6, 1}
{24, 8, 2, 1, 0, 7, 3, 3, 1, 1}
{24, 8, 2, 1, 0, 7, 3, 1, 3, 1}
{24, 8, 2, 1, 0, 2, 4, 4, 4, 1}
{24, 8, 1, 11, 0, 2, 1, 1, 1, 1}
{24, 8, 1, 7, 0, 1, 2, 5, 1, 1}
{24, 8, 1, 7, 0, 1, 2, 1, 5, 1}
{24, 8, 1, 6, 0, 3, 5, 1, 1, 1}
{24, 8, 1, 5, 0, 2, 1, 7, 1, 1}
{24, 8, 1, 5, 0, 2, 1, 1, 7, 1}
{24, 8, 1, 3, 0, 6, 1, 4, 2, 1}
{24, 8, 1, 3, 0, 6, 1, 2, 4, 1}
{24, 8, 1, 3, 0, 3, 7, 2, 1, 1}
{24, 8, 1, 3, 0, 3, 7, 1, 2, 1}
{24, 8, 1, 2, 0, 7, 3, 3, 1, 1}
{24, 8, 1, 2, 0, 7, 3, 1, 3, 1}
{24, 8, 1, 2, 0, 2, 4, 4, 4, 1}
{24, 8, 1, 1, 0, 5, 3, 6, 1, 1}
{24, 8, 1, 1, 0, 5, 3, 1, 6, 1}
{24, 8, 1, 1, 0, 1, 2, 11, 1, 1}
{24, 8, 1, 1, 0, 1, 2, 1, 11, 1}
{24, 6, 2, 2, 0, 5, 7, 2, 1, 1}
{24, 6, 2, 2, 0, 5, 7, 1, 2, 1}
{24, 6, 2, 1, 0, 7, 5, 2, 2, 1}
{24, 6, 1, 2, 0, 7, 5, 2, 2, 1}
{24, 4, 7, 3, 0, 3, 3, 3, 2, 1}
{24, 4, 7, 3, 0, 3, 3, 2, 3, 1}
{24, 4, 7, 3, 0, 1, 5, 4, 1, 1}
{24, 4, 7, 3, 0, 1, 5, 1, 4, 1}
{24, 4, 6, 3, 0, 1, 5, 5, 1, 1}
{24, 4, 6, 3, 0, 1, 5, 1, 5, 1}
{24, 4, 6, 2, 0, 2, 1, 5, 5, 1}
{24, 4, 5, 5, 0, 3, 3, 4, 1, 1}
{24, 4, 5, 5, 0, 3, 3, 1, 4, 1}
{24, 4, 5, 5, 0, 1, 2, 6, 2, 1}
{24, 4, 5, 5, 0, 1, 2, 2, 6, 1}
{24, 4, 5, 1, 0, 5, 1, 6, 3, 1}
{24, 4, 5, 1, 0, 5, 1, 3, 6, 1}
{24, 4, 4, 3, 0, 2, 6, 4, 2, 1}
{24, 4, 4, 3, 0, 2, 6, 2, 4, 1}
{24, 4, 4, 2, 0, 6, 2, 4, 3, 1}
{24, 4, 4, 2, 0, 6, 2, 3, 4, 1}
{24, 4, 4, 1, 0, 5, 1, 7, 3, 1}
{24, 4, 4, 1, 0, 5, 1, 3, 7, 1}
{24, 4, 4, 1, 0, 3, 3, 5, 5, 1}
{24, 4, 3, 7, 0, 3, 3, 3, 2, 1}
{24, 4, 3, 7, 0, 3, 3, 2, 3, 1}
{24, 4, 3, 7, 0, 1, 5, 4, 1, 1}
{24, 4, 3, 7, 0, 1, 5, 1, 4, 1}
{24, 4, 3, 6, 0, 1, 5, 5, 1, 1}
{24, 4, 3, 6, 0, 1, 5, 1, 5, 1}
{24, 4, 3, 4, 0, 2, 6, 4, 2, 1}
{24, 4, 3, 4, 0, 2, 6, 2, 4, 1}
{24, 4, 3, 2, 0, 3, 3, 7, 3, 1}
{24, 4, 3, 2, 0, 3, 3, 3, 7, 1}
{24, 4, 2, 6, 0, 2, 1, 5, 5, 1}
{24, 4, 2, 4, 0, 6, 2, 4, 3, 1}
{24, 4, 2, 4, 0, 6, 2, 3, 4, 1}
{24, 4, 2, 3, 0, 3, 3, 7, 3, 1}
{24, 4, 2, 3, 0, 3, 3, 3, 7, 1}
{24, 4, 1, 5, 0, 5, 1, 6, 3, 1}
{24, 4, 1, 5, 0, 5, 1, 3, 6, 1}
{24, 4, 1, 4, 0, 5, 1, 7, 3, 1}
{24, 4, 1, 4, 0, 5, 1, 3, 7, 1}
{24, 4, 1, 4, 0, 3, 3, 5, 5, 1}
{24, 3, 9, 1, 0, 5, 1, 5, 1, 1}
{24, 3, 9, 1, 0, 5, 1, 1, 5, 1}
{24, 3, 5, 1, 0, 1, 5, 9, 1, 1}
{24, 3, 5, 1, 0, 1, 5, 1, 9, 1}
{24, 3, 1, 9, 0, 5, 1, 5, 1, 1}
{24, 3, 1, 9, 0, 5, 1, 1, 5, 1}
{24, 3, 1, 5, 0, 1, 5, 9, 1, 1}
{24, 3, 1, 5, 0, 1, 5, 1, 9, 1}
{24, 2, 11, 1, 0, 8, 1, 1, 1, 1}
{24, 2, 1, 11, 0, 8, 1, 1, 1, 1}
{24, 2, 1, 1, 0, 1, 8, 11, 1, 1}
{24, 2, 1, 1, 0, 1, 8, 1, 11, 1}
{24, 1, 8, 4, 0, 9, 1, 1, 1, 1}
{24, 1, 4, 8, 0, 9, 1, 1, 1, 1}
{24, 1, 1, 1, 0, 1, 9, 8, 4, 1}
{24, 1, 1, 1, 0, 1, 9, 4, 8, 1}
{23, 4, 4, 4, 0, 5, 3, 4, 2, 1}
{23, 4, 4, 4, 0, 5, 3, 2, 4, 1}
{23, 4, 4, 2, 0, 3, 5, 4, 4, 1}
{23, 4, 2, 4, 0, 3, 5, 4, 4, 1}
{23, 3, 11, 1, 0, 5, 1, 4, 1, 1}
{23, 3, 11, 1, 0, 5, 1, 1, 4, 1}
{23, 3, 8, 1, 0, 5, 1, 7, 1, 1}
{23, 3, 8, 1, 0, 5, 1, 1, 7, 1}
{23, 3, 7, 1, 0, 1, 5, 8, 1, 1}
{23, 3, 7, 1, 0, 1, 5, 1, 8, 1}
{23, 3, 4, 1, 0, 1, 5, 11, 1, 1}
{23, 3, 4, 1, 0, 1, 5, 1, 11, 1}
{23, 3, 1, 11, 0, 5, 1, 4, 1, 1}
{23, 3, 1, 11, 0, 5, 1, 1, 4, 1}
{23, 3, 1, 8, 0, 5, 1, 7, 1, 1}
{23, 3, 1, 8, 0, 5, 1, 1, 7, 1}
{23, 3, 1, 7, 0, 1, 5, 8, 1, 1}
{23, 3, 1, 7, 0, 1, 5, 1, 8, 1}
{23, 3, 1, 4, 0, 1, 5, 11, 1, 1}
{23, 3, 1, 4, 0, 1, 5, 1, 11, 1}
{22, 11, 3, 3, 0, 6, 2, 1, 1, 1}
{22, 11, 1, 1, 0, 2, 6, 3, 3, 1}
{22, 8, 7, 1, 0, 2, 3, 5, 1, 1}
{22, 8, 7, 1, 0, 2, 3, 1, 5, 1}
{22, 8, 6, 1, 0, 3, 7, 1, 1, 1}
{22, 8, 5, 1, 0, 3, 2, 7, 1, 1}
{22, 8, 5, 1, 0, 3, 2, 1, 7, 1}
{22, 8, 1, 7, 0, 2, 3, 5, 1, 1}
{22, 8, 1, 7, 0, 2, 3, 1, 5, 1}
{22, 8, 1, 6, 0, 3, 7, 1, 1, 1}
{22, 8, 1, 5, 0, 3, 2, 7, 1, 1}
{22, 8, 1, 5, 0, 3, 2, 1, 7, 1}
{22, 8, 1, 1, 0, 7, 3, 6, 1, 1}
{22, 8, 1, 1, 0, 7, 3, 1, 6, 1}
{22, 7, 7, 1, 0, 3, 3, 5, 1, 1}
{22, 7, 7, 1, 0, 3, 3, 1, 5, 1}
{22, 7, 5, 1, 0, 3, 3, 7, 1, 1}
{22, 7, 5, 1, 0, 3, 3, 1, 7, 1}
{22, 7, 1, 7, 0, 3, 3, 5, 1, 1}
{22, 7, 1, 7, 0, 3, 3, 1, 5, 1}
{22, 7, 1, 5, 0, 3, 3, 7, 1, 1}
{22, 7, 1, 5, 0, 3, 3, 1, 7, 1}
{22, 6, 7, 1, 0, 6, 3, 2, 2, 1}
{22, 6, 2, 2, 0, 3, 6, 7, 1, 1}
{22, 6, 2, 2, 0, 3, 6, 1, 7, 1}
{22, 6, 1, 7, 0, 6, 3, 2, 2, 1}
{22, 4, 11, 1, 0, 4, 1, 5, 1, 1}
{22, 4, 11, 1, 0, 4, 1, 1, 5, 1}
{22, 4, 9, 2, 0, 2, 2, 4, 4, 1}
{22, 4, 7, 7, 0, 1, 6, 1, 1, 1}
{22, 4, 7, 7, 0, 1, 4, 2, 2, 1}
{22, 4, 7, 7, 0, 1, 2, 3, 3, 1}
{22, 4, 5, 5, 0, 5, 2, 3, 3, 1}
{22, 4, 5, 1, 0, 1, 4, 11, 1, 1}
{22, 4, 5, 1, 0, 1, 4, 1, 11, 1}
{22, 4, 4, 4, 0, 6, 4, 4, 1, 1}
{22, 4, 4, 4, 0, 6, 4, 1, 4, 1}
{22, 4, 4, 4, 0, 2, 2, 9, 2, 1}
{22, 4, 4, 4, 0, 2, 2, 2, 9, 1}
{22, 4, 4, 1, 0, 4, 6, 4, 4, 1}
{22, 4, 3, 3, 0, 2, 5, 5, 5, 1}
{22, 4, 3, 3, 0, 2, 1, 7, 7, 1}
{22, 4, 2, 9, 0, 2, 2, 4, 4, 1}
{22, 4, 2, 2, 0, 4, 1, 7, 7, 1}
{22, 4, 1, 11, 0, 4, 1, 5, 1, 1}
{22, 4, 1, 11, 0, 4, 1, 1, 5, 1}
{22, 4, 1, 5, 0, 1, 4, 11, 1, 1}
{22, 4, 1, 5, 0, 1, 4, 1, 11, 1}
{22, 4, 1, 4, 0, 4, 6, 4, 4, 1}
{22, 4, 1, 1, 0, 6, 1, 7, 7, 1}
{21, 15, 2, 1, 0, 5, 2, 2, 1, 1}
{21, 15, 2, 1, 0, 5, 2, 1, 2, 1}
{21, 15, 2, 1, 0, 2, 5, 2, 1, 1}
{21, 15, 2, 1, 0, 2, 5, 1, 2, 1}
{21, 15, 1, 2, 0, 5, 2, 2, 1, 1}
{21, 15, 1, 2, 0, 5, 2, 1, 2, 1}
{21, 15, 1, 2, 0, 2, 5, 2, 1, 1}
{21, 15, 1, 2, 0, 2, 5, 1, 2, 1}
{21, 12, 7, 1, 0, 1, 1, 5, 1, 1}
{21, 12, 7, 1, 0, 1, 1, 1, 5, 1}
{21, 12, 5, 1, 0, 1, 1, 7, 1, 1}
{21, 12, 5, 1, 0, 1, 1, 1, 7, 1}
{21, 12, 1, 7, 0, 1, 1, 5, 1, 1}
{21, 12, 1, 7, 0, 1, 1, 1, 5, 1}
{21, 12, 1, 5, 0, 1, 1, 7, 1, 1}
{21, 12, 1, 5, 0, 1, 1, 1, 7, 1}
{21, 7, 9, 1, 0, 2, 3, 4, 2, 1}
{21, 7, 9, 1, 0, 2, 3, 2, 4, 1}
{21, 7, 6, 2, 0, 6, 2, 4, 1, 1}
{21, 7, 6, 2, 0, 6, 2, 1, 4, 1}
{21, 7, 6, 2, 0, 6, 1, 4, 2, 1}
{21, 7, 6, 2, 0, 6, 1, 2, 4, 1}
{21, 7, 6, 1, 0, 5, 6, 2, 1, 1}
{21, 7, 6, 1, 0, 5, 6, 1, 2, 1}
{21, 7, 6, 1, 0, 2, 3, 5, 4, 1}
{21, 7, 6, 1, 0, 2, 3, 4, 5, 1}
{21, 7, 5, 4, 0, 3, 2, 6, 1, 1}
{21, 7, 5, 4, 0, 3, 2, 1, 6, 1}
{21, 7, 4, 5, 0, 3, 2, 6, 1, 1}
{21, 7, 4, 5, 0, 3, 2, 1, 6, 1}
{21, 7, 4, 2, 0, 3, 2, 9, 1, 1}
{21, 7, 4, 2, 0, 3, 2, 1, 9, 1}
{21, 7, 4, 2, 0, 1, 6, 6, 2, 1}
{21, 7, 4, 2, 0, 1, 6, 2, 6, 1}
{21, 7, 4, 1, 0, 2, 6, 6, 2, 1}
{21, 7, 4, 1, 0, 2, 6, 2, 6, 1}
{21, 7, 2, 6, 0, 6, 2, 4, 1, 1}
{21, 7, 2, 6, 0, 6, 2, 1, 4, 1}
{21, 7, 2, 6, 0, 6, 1, 4, 2, 1}
{21, 7, 2, 6, 0, 6, 1, 2, 4, 1}
{21, 7, 2, 4, 0, 3, 2, 9, 1, 1}
{21, 7, 2, 4, 0, 3, 2, 1, 9, 1}
{21, 7, 2, 4, 0, 1, 6, 6, 2, 1}
{21, 7, 2, 4, 0, 1, 6, 2, 6, 1}
{21, 7, 2, 1, 0, 6, 5, 6, 1, 1}
{21, 7, 2, 1, 0, 6, 5, 1, 6, 1}
{21, 7, 1, 9, 0, 2, 3, 4, 2, 1}
{21, 7, 1, 9, 0, 2, 3, 2, 4, 1}
{21, 7, 1, 6, 0, 5, 6, 2, 1, 1}
{21, 7, 1, 6, 0, 5, 6, 1, 2, 1}
{21, 7, 1, 6, 0, 2, 3, 5, 4, 1}
{21, 7, 1, 6, 0, 2, 3, 4, 5, 1}
{21, 7, 1, 4, 0, 2, 6, 6, 2, 1}
{21, 7, 1, 4, 0, 2, 6, 2, 6, 1}
{21, 7, 1, 2, 0, 6, 5, 6, 1, 1}
{21, 7, 1, 2, 0, 6, 5, 1, 6, 1}
{21, 6, 9, 1, 0, 3, 1, 4, 4, 1}
{21, 6, 6, 3, 0, 6, 2, 4, 1, 1}
{21, 6, 6, 3, 0, 6, 2, 1, 4, 1}
{21, 6, 5, 5, 0, 4, 2, 5, 1, 1}
{21, 6, 5, 5, 0, 4, 2, 1, 5, 1}
{21, 6, 5, 1, 0, 2, 4, 5, 5, 1}
{21, 6, 4, 4, 0, 1, 3, 9, 1, 1}
{21, 6, 4, 4, 0, 1, 3, 1, 9, 1}
{21, 6, 4, 1, 0, 2, 6, 6, 3, 1}
{21, 6, 4, 1, 0, 2, 6, 3, 6, 1}
{21, 6, 3, 6, 0, 6, 2, 4, 1, 1}
{21, 6, 3, 6, 0, 6, 2, 1, 4, 1}
{21, 6, 1, 9, 0, 3, 1, 4, 4, 1}
{21, 6, 1, 5, 0, 2, 4, 5, 5, 1}
{21, 6, 1, 4, 0, 2, 6, 6, 3, 1}
{21, 6, 1, 4, 0, 2, 6, 3, 6, 1}
{21, 3, 7, 5, 0, 4, 5, 2, 2, 1}
{21, 3, 5, 7, 0, 4, 5, 2, 2, 1}
{21, 3, 2, 2, 0, 5, 4, 7, 5, 1}
{21, 3, 2, 2, 0, 5, 4, 5, 7, 1}
{20, 20, 3, 1, 0, 1, 2, 1, 1, 1}
{20, 20, 1, 3, 0, 1, 2, 1, 1, 1}
{20, 20, 1, 1, 0, 2, 1, 3, 1, 1}
{20, 20, 1, 1, 0, 2, 1, 1, 3, 1}
{20, 10, 3, 3, 0, 9, 2, 1, 1, 1}
{20, 10, 1, 1, 0, 2, 9, 3, 3, 1}
{20, 8, 9, 1, 0, 1, 2, 7, 1, 1}
{20, 8, 9, 1, 0, 1, 2, 1, 7, 1}
{20, 8, 7, 1, 0, 2, 1, 9, 1, 1}
{20, 8, 7, 1, 0, 2, 1, 1, 9, 1}
{20, 8, 6, 6, 0, 1, 3, 4, 1, 1}
{20, 8, 6, 6, 0, 1, 3, 1, 4, 1}
{20, 8, 6, 1, 0, 7, 5, 1, 1, 1}
{20, 8, 4, 1, 0, 3, 1, 6, 6, 1}
{20, 8, 1, 9, 0, 1, 2, 7, 1, 1}
{20, 8, 1, 9, 0, 1, 2, 1, 7, 1}
{20, 8, 1, 7, 0, 2, 1, 9, 1, 1}
{20, 8, 1, 7, 0, 2, 1, 1, 9, 1}
{20, 8, 1, 6, 0, 7, 5, 1, 1, 1}
{20, 8, 1, 4, 0, 3, 1, 6, 6, 1}
{20, 8, 1, 1, 0, 5, 7, 6, 1, 1}
{20, 8, 1, 1, 0, 5, 7, 1, 6, 1}
{20, 7, 7, 3, 0, 5, 1, 4, 2, 1}
{20, 7, 7, 3, 0, 5, 1, 2, 4, 1}
{20, 7, 4, 2, 0, 1, 5, 7, 3, 1}
{20, 7, 4, 2, 0, 1, 5, 3, 7, 1}
{20, 7, 3, 7, 0, 5, 1, 4, 2, 1}
{20, 7, 3, 7, 0, 5, 1, 2, 4, 1}
{20, 7, 2, 4, 0, 1, 5, 7, 3, 1}
{20, 7, 2, 4, 0, 1, 5, 3, 7, 1}
{20, 5, 10, 2, 0, 3, 3, 5, 1, 1}
{20, 5, 10, 2, 0, 3, 3, 1, 5, 1}
{20, 5, 9, 1, 0, 4, 3, 5, 2, 1}
{20, 5, 9, 1, 0, 4, 3, 2, 5, 1}
{20, 5, 5, 2, 0, 3, 4, 9, 1, 1}
{20, 5, 5, 2, 0, 3, 4, 1, 9, 1}
{20, 5, 5, 1, 0, 9, 3, 4, 2, 1}
{20, 5, 5, 1, 0, 9, 3, 2, 4, 1}
{20, 5, 5, 1, 0, 3, 3, 10, 2, 1}
{20, 5, 5, 1, 0, 3, 3, 2, 10, 1}
{20, 5, 4, 2, 0, 3, 9, 5, 1, 1}
{20, 5, 4, 2, 0, 3, 9, 1, 5, 1}
{20, 5, 2, 10, 0, 3, 3, 5, 1, 1}
{20, 5, 2, 10, 0, 3, 3, 1, 5, 1}
{20, 5, 2, 5, 0, 3, 4, 9, 1, 1}
{20, 5, 2, 5, 0, 3, 4, 1, 9, 1}
{20, 5, 2, 4, 0, 3, 9, 5, 1, 1}
{20, 5, 2, 4, 0, 3, 9, 1, 5, 1}
{20, 5, 1, 9, 0, 4, 3, 5, 2, 1}
{20, 5, 1, 9, 0, 4, 3, 2, 5, 1}
{20, 5, 1, 5, 0, 9, 3, 4, 2, 1}
{20, 5, 1, 5, 0, 9, 3, 2, 4, 1}
{20, 5, 1, 5, 0, 3, 3, 10, 2, 1}
{20, 5, 1, 5, 0, 3, 3, 2, 10, 1}
{20, 4, 15, 1, 0, 4, 1, 3, 1, 1}
{20, 4, 15, 1, 0, 4, 1, 1, 3, 1}
{20, 4, 11, 3, 0, 4, 3, 2, 2, 1}
{20, 4, 8, 4, 0, 2, 2, 7, 2, 1}
{20, 4, 8, 4, 0, 2, 2, 2, 7, 1}
{20, 4, 7, 2, 0, 2, 2, 8, 4, 1}
{20, 4, 7, 2, 0, 2, 2, 4, 8, 1}
{20, 4, 6, 6, 0, 3, 2, 6, 2, 1}
{20, 4, 6, 6, 0, 3, 2, 2, 6, 1}
{20, 4, 6, 2, 0, 2, 3, 6, 6, 1}
{20, 4, 4, 8, 0, 2, 2, 7, 2, 1}
{20, 4, 4, 8, 0, 2, 2, 2, 7, 1}
{20, 4, 3, 11, 0, 4, 3, 2, 2, 1}
{20, 4, 3, 1, 0, 1, 4, 15, 1, 1}
{20, 4, 3, 1, 0, 1, 4, 1, 15, 1}
{20, 4, 2, 7, 0, 2, 2, 8, 4, 1}
{20, 4, 2, 7, 0, 2, 2, 4, 8, 1}
{20, 4, 2, 6, 0, 2, 3, 6, 6, 1}
{20, 4, 2, 2, 0, 3, 4, 11, 3, 1}
{20, 4, 2, 2, 0, 3, 4, 3, 11, 1}
{20, 4, 1, 15, 0, 4, 1, 3, 1, 1}
{20, 4, 1, 15, 0, 4, 1, 1, 3, 1}
{20, 4, 1, 3, 0, 1, 4, 15, 1, 1}
{20, 4, 1, 3, 0, 1, 4, 1, 15, 1}
{19, 19, 2, 1, 0, 3, 2, 2, 1, 1}
{19, 19, 2, 1, 0, 3, 2, 1, 2, 1}
{19, 19, 2, 1, 0, 2, 3, 2, 1, 1}
{19, 19, 2, 1, 0, 2, 3, 1, 2, 1}
{19, 19, 1, 2, 0, 3, 2, 2, 1, 1}
{19, 19, 1, 2, 0, 3, 2, 1, 2, 1}
{19, 19, 1, 2, 0, 2, 3, 2, 1, 1}
{19, 19, 1, 2, 0, 2, 3, 1, 2, 1}
{19, 19, 1, 1, 0, 4, 3, 1, 1, 1}
{19, 19, 1, 1, 0, 3, 4, 1, 1, 1}
{19, 10, 7, 1, 0, 7, 3, 1, 1, 1}
{19, 10, 1, 7, 0, 7, 3, 1, 1, 1}
{19, 10, 1, 1, 0, 3, 7, 7, 1, 1}
{19, 10, 1, 1, 0, 3, 7, 1, 7, 1}
{19, 4, 9, 1, 0, 5, 2, 6, 3, 1}
{19, 4, 9, 1, 0, 5, 2, 3, 6, 1}
{19, 4, 6, 3, 0, 8, 2, 4, 3, 1}
{19, 4, 6, 3, 0, 8, 2, 3, 4, 1}
{19, 4, 6, 3, 0, 2, 5, 9, 1, 1}
{19, 4, 6, 3, 0, 2, 5, 1, 9, 1}
{19, 4, 4, 3, 0, 2, 8, 6, 3, 1}
{19, 4, 4, 3, 0, 2, 8, 3, 6, 1}
{19, 4, 3, 6, 0, 8, 2, 4, 3, 1}
{19, 4, 3, 6, 0, 8, 2, 3, 4, 1}
{19, 4, 3, 6, 0, 2, 5, 9, 1, 1}
{19, 4, 3, 6, 0, 2, 5, 1, 9, 1}
{19, 4, 3, 4, 0, 2, 8, 6, 3, 1}
{19, 4, 3, 4, 0, 2, 8, 3, 6, 1}
{19, 4, 1, 9, 0, 5, 2, 6, 3, 1}
{19, 4, 1, 9, 0, 5, 2, 3, 6, 1}
{18, 18, 7, 1, 0, 1, 1, 2, 1, 1}
{18, 18, 7, 1, 0, 1, 1, 1, 2, 1}
{18, 18, 2, 1, 0, 1, 1, 7, 1, 1}
{18, 18, 2, 1, 0, 1, 1, 1, 7, 1}
{18, 18, 1, 7, 0, 1, 1, 2, 1, 1}
{18, 18, 1, 7, 0, 1, 1, 1, 2, 1}
{18, 18, 1, 2, 0, 1, 1, 7, 1, 1}
{18, 18, 1, 2, 0, 1, 1, 1, 7, 1}
{18, 8, 11, 1, 0, 2, 1, 7, 1, 1}
{18, 8, 11, 1, 0, 2, 1, 1, 7, 1}
{18, 8, 7, 1, 0, 1, 2, 11, 1, 1}
{18, 8, 7, 1, 0, 1, 2, 1, 11, 1}
{18, 8, 1, 11, 0, 2, 1, 7, 1, 1}
{18, 8, 1, 11, 0, 2, 1, 1, 7, 1}
{18, 8, 1, 7, 0, 1, 2, 11, 1, 1}
{18, 8, 1, 7, 0, 1, 2, 1, 11, 1}
{18, 6, 15, 3, 0, 2, 3, 1, 1, 1}
{18, 6, 14, 2, 0, 1, 1, 5, 2, 1}
{18, 6, 14, 2, 0, 1, 1, 2, 5, 1}
{18, 6, 14, 1, 0, 3, 2, 3, 2, 1}
{18, 6, 14, 1, 0, 3, 2, 2, 3, 1}
{18, 6, 11, 4, 0, 5, 2, 2, 1, 1}
{18, 6, 11, 4, 0, 5, 2, 1, 2, 1}
{18, 6, 11, 1, 0, 3, 1, 6, 3, 1}
{18, 6, 11, 1, 0, 3, 1, 3, 6, 1}
{18, 6, 10, 1, 0, 3, 1, 5, 5, 1}
{18, 6, 9, 1, 0, 2, 5, 4, 4, 1}
{18, 6, 8, 1, 0, 3, 8, 3, 2, 1}
{18, 6, 8, 1, 0, 3, 8, 2, 3, 1}
{18, 6, 7, 3, 0, 5, 2, 7, 1, 1}
{18, 6, 7, 3, 0, 5, 2, 1, 7, 1}
{18, 6, 7, 1, 0, 2, 5, 7, 3, 1}
{18, 6, 7, 1, 0, 2, 5, 3, 7, 1}
{18, 6, 6, 3, 0, 1, 3, 11, 1, 1}
{18, 6, 6, 3, 0, 1, 3, 1, 11, 1}
{18, 6, 5, 5, 0, 1, 3, 10, 1, 1}
{18, 6, 5, 5, 0, 1, 3, 1, 10, 1}
{18, 6, 5, 2, 0, 1, 1, 14, 2, 1}
{18, 6, 5, 2, 0, 1, 1, 2, 14, 1}
{18, 6, 4, 11, 0, 5, 2, 2, 1, 1}
{18, 6, 4, 11, 0, 5, 2, 1, 2, 1}
{18, 6, 4, 4, 0, 11, 2, 3, 1, 1}
{18, 6, 4, 4, 0, 11, 2, 1, 3, 1}
{18, 6, 4, 4, 0, 5, 2, 9, 1, 1}
{18, 6, 4, 4, 0, 5, 2, 1, 9, 1}
{18, 6, 3, 15, 0, 2, 3, 1, 1, 1}
{18, 6, 3, 7, 0, 5, 2, 7, 1, 1}
{18, 6, 3, 7, 0, 5, 2, 1, 7, 1}
{18, 6, 3, 6, 0, 1, 3, 11, 1, 1}
{18, 6, 3, 6, 0, 1, 3, 1, 11, 1}
{18, 6, 3, 2, 0, 8, 3, 8, 1, 1}
{18, 6, 3, 2, 0, 8, 3, 1, 8, 1}
{18, 6, 3, 2, 0, 2, 15, 2, 1, 1}
{18, 6, 3, 2, 0, 2, 15, 1, 2, 1}
{18, 6, 3, 2, 0, 2, 3, 14, 1, 1}
{18, 6, 3, 2, 0, 2, 3, 1, 14, 1}
{18, 6, 3, 1, 0, 2, 11, 4, 4, 1}
{18, 6, 2, 14, 0, 1, 1, 5, 2, 1}
{18, 6, 2, 14, 0, 1, 1, 2, 5, 1}
{18, 6, 2, 5, 0, 1, 1, 14, 2, 1}
{18, 6, 2, 5, 0, 1, 1, 2, 14, 1}
{18, 6, 2, 3, 0, 8, 3, 8, 1, 1}
{18, 6, 2, 3, 0, 8, 3, 1, 8, 1}
{18, 6, 2, 3, 0, 2, 15, 2, 1, 1}
{18, 6, 2, 3, 0, 2, 15, 1, 2, 1}
{18, 6, 2, 3, 0, 2, 3, 14, 1, 1}
{18, 6, 2, 3, 0, 2, 3, 1, 14, 1}
{18, 6, 2, 1, 0, 15, 2, 3, 2, 1}
{18, 6, 2, 1, 0, 15, 2, 2, 3, 1}
{18, 6, 2, 1, 0, 2, 5, 11, 4, 1}
{18, 6, 2, 1, 0, 2, 5, 4, 11, 1}
{18, 6, 1, 14, 0, 3, 2, 3, 2, 1}
{18, 6, 1, 14, 0, 3, 2, 2, 3, 1}
{18, 6, 1, 11, 0, 3, 1, 6, 3, 1}
{18, 6, 1, 11, 0, 3, 1, 3, 6, 1}
{18, 6, 1, 10, 0, 3, 1, 5, 5, 1}
{18, 6, 1, 9, 0, 2, 5, 4, 4, 1}
{18, 6, 1, 8, 0, 3, 8, 3, 2, 1}
{18, 6, 1, 8, 0, 3, 8, 2, 3, 1}
{18, 6, 1, 7, 0, 2, 5, 7, 3, 1}
{18, 6, 1, 7, 0, 2, 5, 3, 7, 1}
{18, 6, 1, 3, 0, 2, 11, 4, 4, 1}
{18, 6, 1, 2, 0, 15, 2, 3, 2, 1}
{18, 6, 1, 2, 0, 15, 2, 2, 3, 1}
{18, 6, 1, 2, 0, 2, 5, 11, 4, 1}
{18, 6, 1, 2, 0, 2, 5, 4, 11, 1}
{18, 6, 1, 1, 0, 3, 2, 15, 3, 1}
{18, 6, 1, 1, 0, 3, 2, 3, 15, 1}
{18, 4, 11, 1, 0, 6, 1, 4, 4, 1}
{18, 4, 10, 2, 0, 4, 3, 5, 3, 1}
{18, 4, 10, 2, 0, 4, 3, 3, 5, 1}
{18, 4, 9, 2, 0, 3, 5, 4, 4, 1}
{18, 4, 6, 3, 0, 7, 5, 5, 1, 1}
{18, 4, 6, 3, 0, 7, 5, 1, 5, 1}
{18, 4, 5, 3, 0, 3, 4, 10, 2, 1}
{18, 4, 5, 3, 0, 3, 4, 2, 10, 1}
{18, 4, 5, 1, 0, 5, 7, 6, 3, 1}
{18, 4, 5, 1, 0, 5, 7, 3, 6, 1}
{18, 4, 4, 4, 0, 5, 3, 9, 2, 1}
{18, 4, 4, 4, 0, 5, 3, 2, 9, 1}
{18, 4, 4, 4, 0, 1, 6, 11, 1, 1}
{18, 4, 4, 4, 0, 1, 6, 1, 11, 1}
{18, 4, 3, 6, 0, 7, 5, 5, 1, 1}
{18, 4, 3, 6, 0, 7, 5, 1, 5, 1}
{18, 4, 3, 5, 0, 3, 4, 10, 2, 1}
{18, 4, 3, 5, 0, 3, 4, 2, 10, 1}
{18, 4, 2, 10, 0, 4, 3, 5, 3, 1}
{18, 4, 2, 10, 0, 4, 3, 3, 5, 1}
{18, 4, 2, 9, 0, 3, 5, 4, 4, 1}
{18, 4, 1, 11, 0, 6, 1, 4, 4, 1}
{18, 4, 1, 5, 0, 5, 7, 6, 3, 1}
{18, 4, 1, 5, 0, 5, 7, 3, 6, 1}
{18, 3, 12, 5, 0, 2, 6, 2, 1, 1}
{18, 3, 12, 5, 0, 2, 6, 1, 2, 1}
{18, 3, 7, 7, 0, 2, 6, 3, 3, 1}
{18, 3, 5, 12, 0, 2, 6, 2, 1, 1}
{18, 3, 5, 12, 0, 2, 6, 1, 2, 1}
{18, 3, 3, 3, 0, 6, 2, 7, 7, 1}
{18, 3, 2, 1, 0, 6, 2, 12, 5, 1}
{18, 3, 2, 1, 0, 6, 2, 5, 12, 1}
{18, 3, 1, 2, 0, 6, 2, 12, 5, 1}
{18, 3, 1, 2, 0, 6, 2, 5, 12, 1}
{17, 4, 9, 5, 0, 1, 5, 7, 1, 1}
{17, 4, 9, 5, 0, 1, 5, 1, 7, 1}
{17, 4, 7, 1, 0, 5, 1, 9, 5, 1}
{17, 4, 7, 1, 0, 5, 1, 5, 9, 1}
{17, 4, 5, 9, 0, 1, 5, 7, 1, 1}
{17, 4, 5, 9, 0, 1, 5, 1, 7, 1}
{17, 4, 1, 7, 0, 5, 1, 9, 5, 1}
{17, 4, 1, 7, 0, 5, 1, 5, 9, 1}
{16, 16, 6, 2, 0, 5, 2, 1, 1, 1}
{16, 16, 5, 5, 0, 1, 4, 1, 1, 1}
{16, 16, 5, 5, 0, 1, 2, 2, 2, 1}
{16, 16, 4, 4, 0, 1, 3, 4, 1, 1}
{16, 16, 4, 4, 0, 1, 3, 1, 4, 1}
{16, 16, 4, 1, 0, 3, 1, 4, 4, 1}
{16, 16, 2, 6, 0, 5, 2, 1, 1, 1}
{16, 16, 2, 2, 0, 2, 1, 5, 5, 1}
{16, 16, 1, 4, 0, 3, 1, 4, 4, 1}
{16, 16, 1, 1, 0, 9, 4, 1, 1, 1}
{16, 16, 1, 1, 0, 4, 9, 1, 1, 1}
{16, 16, 1, 1, 0, 4, 1, 5, 5, 1}
{16, 16, 1, 1, 0, 2, 5, 6, 2, 1}
{16, 16, 1, 1, 0, 2, 5, 2, 6, 1}
{16, 13, 1, 1, 0, 9, 7, 1, 1, 1}
{16, 13, 1, 1, 0, 7, 9, 1, 1, 1}
{16, 12, 5, 1, 0, 9, 2, 3, 1, 1}
{16, 12, 5, 1, 0, 9, 2, 1, 3, 1}
{16, 12, 3, 1, 0, 2, 9, 5, 1, 1}
{16, 12, 3, 1, 0, 2, 9, 1, 5, 1}
{16, 12, 1, 5, 0, 9, 2, 3, 1, 1}
{16, 12, 1, 5, 0, 9, 2, 1, 3, 1}
{16, 12, 1, 3, 0, 2, 9, 5, 1, 1}
{16, 12, 1, 3, 0, 2, 9, 1, 5, 1}
{16, 7, 10, 1, 0, 2, 5, 6, 2, 1}
{16, 7, 10, 1, 0, 2, 5, 2, 6, 1}
{16, 7, 9, 2, 0, 5, 2, 7, 1, 1}
{16, 7, 9, 2, 0, 5, 2, 1, 7, 1}
{16, 7, 7, 1, 0, 2, 5, 9, 2, 1}
{16, 7, 7, 1, 0, 2, 5, 2, 9, 1}
{16, 7, 6, 2, 0, 5, 2, 10, 1, 1}
{16, 7, 6, 2, 0, 5, 2, 1, 10, 1}
{16, 7, 2, 9, 0, 5, 2, 7, 1, 1}
{16, 7, 2, 9, 0, 5, 2, 1, 7, 1}
{16, 7, 2, 6, 0, 5, 2, 10, 1, 1}
{16, 7, 2, 6, 0, 5, 2, 1, 10, 1}
{16, 7, 1, 10, 0, 2, 5, 6, 2, 1}
{16, 7, 1, 10, 0, 2, 5, 2, 6, 1}
{16, 7, 1, 7, 0, 2, 5, 9, 2, 1}
{16, 7, 1, 7, 0, 2, 5, 2, 9, 1}
{16, 6, 15, 3, 0, 1, 1, 5, 2, 1}
{16, 6, 15, 3, 0, 1, 1, 2, 5, 1}
{16, 6, 14, 1, 0, 3, 1, 4, 4, 1}
{16, 6, 5, 2, 0, 1, 1, 15, 3, 1}
{16, 6, 5, 2, 0, 1, 1, 3, 15, 1}
{16, 6, 4, 4, 0, 1, 3, 14, 1, 1}
{16, 6, 4, 4, 0, 1, 3, 1, 14, 1}
{16, 6, 3, 15, 0, 1, 1, 5, 2, 1}
{16, 6, 3, 15, 0, 1, 1, 2, 5, 1}
{16, 6, 2, 5, 0, 1, 1, 15, 3, 1}
{16, 6, 2, 5, 0, 1, 1, 3, 15, 1}
{16, 6, 1, 14, 0, 3, 1, 4, 4, 1}
{16, 5, 13, 1, 0, 5, 3, 3, 3, 1}
{16, 5, 3, 3, 0, 3, 5, 13, 1, 1}
{16, 5, 3, 3, 0, 3, 5, 1, 13, 1}
{16, 5, 1, 13, 0, 5, 3, 3, 3, 1}
{16, 4, 19, 1, 0, 4, 1, 2, 2, 1}
{16, 4, 15, 3, 0, 1, 6, 3, 1, 1}
{16, 4, 15, 3, 0, 1, 6, 1, 3, 1}
{16, 4, 15, 3, 0, 1, 1, 6, 3, 1}
{16, 4, 15, 3, 0, 1, 1, 3, 6, 1}
{16, 4, 14, 2, 0, 4, 1, 4, 4, 1}
{16, 4, 12, 2, 0, 4, 2, 6, 3, 1}
{16, 4, 12, 2, 0, 4, 2, 3, 6, 1}
{16, 4, 11, 2, 0, 4, 4, 4, 4, 1}
{16, 4, 10, 6, 0, 4, 1, 5, 3, 1}
{16, 4, 10, 6, 0, 4, 1, 3, 5, 1}
{16, 4, 10, 2, 0, 2, 3, 7, 5, 1}
{16, 4, 10, 2, 0, 2, 3, 5, 7, 1}
{16, 4, 7, 7, 0, 9, 2, 3, 1, 1}
{16, 4, 7, 7, 0, 9, 2, 1, 3, 1}
{16, 4, 7, 7, 0, 5, 2, 6, 2, 1}
{16, 4, 7, 7, 0, 5, 2, 2, 6, 1}
{16, 4, 7, 5, 0, 3, 2, 10, 2, 1}
{16, 4, 7, 5, 0, 3, 2, 2, 10, 1}
{16, 4, 6, 10, 0, 4, 1, 5, 3, 1}
{16, 4, 6, 10, 0, 4, 1, 3, 5, 1}
{16, 4, 6, 3, 0, 11, 1, 5, 3, 1}
{16, 4, 6, 3, 0, 11, 1, 3, 5, 1}
{16, 4, 6, 3, 0, 2, 4, 12, 2, 1}
{16, 4, 6, 3, 0, 2, 4, 2, 12, 1}
{16, 4, 6, 3, 0, 1, 1, 15, 3, 1}
{16, 4, 6, 3, 0, 1, 1, 3, 15, 1}
{16, 4, 6, 2, 0, 11, 2, 5, 3, 1}
{16, 4, 6, 2, 0, 11, 2, 3, 5, 1}
{16, 4, 6, 2, 0, 2, 5, 7, 7, 1}
{16, 4, 5, 7, 0, 3, 2, 10, 2, 1}
{16, 4, 5, 7, 0, 3, 2, 2, 10, 1}
{16, 4, 5, 3, 0, 3, 12, 4, 2, 1}
{16, 4, 5, 3, 0, 3, 12, 2, 4, 1}
{16, 4, 5, 3, 0, 2, 11, 6, 2, 1}
{16, 4, 5, 3, 0, 2, 11, 2, 6, 1}
{16, 4, 5, 3, 0, 1, 16, 3, 1, 1}
{16, 4, 5, 3, 0, 1, 16, 1, 3, 1}
{16, 4, 5, 3, 0, 1, 11, 6, 3, 1}
{16, 4, 5, 3, 0, 1, 11, 3, 6, 1}
{16, 4, 5, 3, 0, 1, 4, 10, 6, 1}
{16, 4, 5, 3, 0, 1, 4, 6, 10, 1}
{16, 4, 4, 4, 0, 4, 4, 11, 2, 1}
{16, 4, 4, 4, 0, 4, 4, 2, 11, 1}
{16, 4, 4, 4, 0, 1, 4, 14, 2, 1}
{16, 4, 4, 4, 0, 1, 4, 2, 14, 1}
{16, 4, 4, 2, 0, 12, 3, 5, 3, 1}
{16, 4, 4, 2, 0, 12, 3, 3, 5, 1}
{16, 4, 3, 15, 0, 1, 6, 3, 1, 1}
{16, 4, 3, 15, 0, 1, 6, 1, 3, 1}
{16, 4, 3, 15, 0, 1, 1, 6, 3, 1}
{16, 4, 3, 15, 0, 1, 1, 3, 6, 1}
{16, 4, 3, 6, 0, 11, 1, 5, 3, 1}
{16, 4, 3, 6, 0, 11, 1, 3, 5, 1}
{16, 4, 3, 6, 0, 2, 4, 12, 2, 1}
{16, 4, 3, 6, 0, 2, 4, 2, 12, 1}
{16, 4, 3, 6, 0, 1, 1, 15, 3, 1}
{16, 4, 3, 6, 0, 1, 1, 3, 15, 1}
{16, 4, 3, 5, 0, 3, 12, 4, 2, 1}
{16, 4, 3, 5, 0, 3, 12, 2, 4, 1}
{16, 4, 3, 5, 0, 2, 11, 6, 2, 1}
{16, 4, 3, 5, 0, 2, 11, 2, 6, 1}
{16, 4, 3, 5, 0, 1, 16, 3, 1, 1}
{16, 4, 3, 5, 0, 1, 16, 1, 3, 1}
{16, 4, 3, 5, 0, 1, 11, 6, 3, 1}
{16, 4, 3, 5, 0, 1, 11, 3, 6, 1}
{16, 4, 3, 5, 0, 1, 4, 10, 6, 1}
{16, 4, 3, 5, 0, 1, 4, 6, 10, 1}
{16, 4, 3, 1, 0, 16, 1, 5, 3, 1}
{16, 4, 3, 1, 0, 16, 1, 3, 5, 1}
{16, 4, 3, 1, 0, 6, 1, 15, 3, 1}
{16, 4, 3, 1, 0, 6, 1, 3, 15, 1}
{16, 4, 3, 1, 0, 2, 9, 7, 7, 1}
{16, 4, 2, 14, 0, 4, 1, 4, 4, 1}
{16, 4, 2, 12, 0, 4, 2, 6, 3, 1}
{16, 4, 2, 12, 0, 4, 2, 3, 6, 1}
{16, 4, 2, 11, 0, 4, 4, 4, 4, 1}
{16, 4, 2, 10, 0, 2, 3, 7, 5, 1}
{16, 4, 2, 10, 0, 2, 3, 5, 7, 1}
{16, 4, 2, 6, 0, 11, 2, 5, 3, 1}
{16, 4, 2, 6, 0, 11, 2, 3, 5, 1}
{16, 4, 2, 6, 0, 2, 5, 7, 7, 1}
{16, 4, 2, 4, 0, 12, 3, 5, 3, 1}
{16, 4, 2, 4, 0, 12, 3, 3, 5, 1}
{16, 4, 2, 2, 0, 1, 4, 19, 1, 1}
{16, 4, 2, 2, 0, 1, 4, 1, 19, 1}
{16, 4, 1, 19, 0, 4, 1, 2, 2, 1}
{16, 4, 1, 3, 0, 16, 1, 5, 3, 1}
{16, 4, 1, 3, 0, 16, 1, 3, 5, 1}
{16, 4, 1, 3, 0, 6, 1, 15, 3, 1}
{16, 4, 1, 3, 0, 6, 1, 3, 15, 1}
{16, 4, 1, 3, 0, 2, 9, 7, 7, 1}
{16, 3, 11, 4, 0, 4, 6, 3, 2, 1}
{16, 3, 11, 4, 0, 4, 6, 2, 3, 1}
{16, 3, 10, 4, 0, 3, 9, 2, 2, 1}
{16, 3, 4, 11, 0, 4, 6, 3, 2, 1}
{16, 3, 4, 11, 0, 4, 6, 2, 3, 1}
{16, 3, 4, 10, 0, 3, 9, 2, 2, 1}
{16, 3, 3, 2, 0, 6, 4, 11, 4, 1}
{16, 3, 3, 2, 0, 6, 4, 4, 11, 1}
{16, 3, 2, 3, 0, 6, 4, 11, 4, 1}
{16, 3, 2, 3, 0, 6, 4, 4, 11, 1}
{16, 3, 2, 2, 0, 9, 3, 10, 4, 1}
{16, 3, 2, 2, 0, 9, 3, 4, 10, 1}
{16, 2, 7, 7, 0, 5, 6, 3, 3, 1}
{16, 2, 6, 6, 0, 5, 6, 5, 3, 1}
{16, 2, 6, 6, 0, 5, 6, 3, 5, 1}
{16, 2, 5, 3, 0, 6, 5, 6, 6, 1}
{16, 2, 3, 5, 0, 6, 5, 6, 6, 1}
{16, 2, 3, 3, 0, 6, 5, 7, 7, 1}
{16, 1, 20, 5, 0, 4, 1, 1, 1, 1}
{16, 1, 14, 2, 0, 13, 1, 1, 1, 1}
{16, 1, 14, 2, 0, 4, 1, 10, 1, 1}
{16, 1, 14, 2, 0, 4, 1, 1, 10, 1}
{16, 1, 10, 1, 0, 1, 4, 14, 2, 1}
{16, 1, 10, 1, 0, 1, 4, 2, 14, 1}
{16, 1, 5, 20, 0, 4, 1, 1, 1, 1}
{16, 1, 2, 14, 0, 13, 1, 1, 1, 1}
{16, 1, 2, 14, 0, 4, 1, 10, 1, 1}
{16, 1, 2, 14, 0, 4, 1, 1, 10, 1}
{16, 1, 1, 10, 0, 1, 4, 14, 2, 1}
{16, 1, 1, 10, 0, 1, 4, 2, 14, 1}
{16, 1, 1, 1, 0, 1, 13, 14, 2, 1}
{16, 1, 1, 1, 0, 1, 13, 2, 14, 1}
{16, 1, 1, 1, 0, 1, 4, 20, 5, 1}
{16, 1, 1, 1, 0, 1, 4, 5, 20, 1}
{15, 21, 2, 1, 0, 5, 2, 2, 1, 1}
{15, 21, 2, 1, 0, 5, 2, 1, 2, 1}
{15, 21, 2, 1, 0, 2, 5, 2, 1, 1}
{15, 21, 2, 1, 0, 2, 5, 1, 2, 1}
{15, 21, 1, 2, 0, 5, 2, 2, 1, 1}
{15, 21, 1, 2, 0, 5, 2, 1, 2, 1}
{15, 21, 1, 2, 0, 2, 5, 2, 1, 1}
{15, 21, 1, 2, 0, 2, 5, 1, 2, 1}
{15, 15, 11, 1, 0, 1, 1, 4, 1, 1}
{15, 15, 11, 1, 0, 1, 1, 1, 4, 1}
{15, 15, 8, 4, 0, 1, 4, 1, 1, 1}
{15, 15, 8, 4, 0, 1, 2, 2, 2, 1}
{15, 15, 8, 2, 0, 2, 1, 4, 2, 1}
{15, 15, 8, 2, 0, 2, 1, 2, 4, 1}
{15, 15, 7, 1, 0, 2, 2, 4, 3, 1}
{15, 15, 7, 1, 0, 2, 2, 3, 4, 1}
{15, 15, 4, 8, 0, 1, 4, 1, 1, 1}
{15, 15, 4, 8, 0, 1, 2, 2, 2, 1}
{15, 15, 4, 3, 0, 2, 2, 7, 1, 1}
{15, 15, 4, 3, 0, 2, 2, 1, 7, 1}
{15, 15, 4, 2, 0, 1, 2, 8, 2, 1}
{15, 15, 4, 2, 0, 1, 2, 2, 8, 1}
{15, 15, 4, 1, 0, 1, 1, 11, 1, 1}
{15, 15, 4, 1, 0, 1, 1, 1, 11, 1}
{15, 15, 3, 4, 0, 2, 2, 7, 1, 1}
{15, 15, 3, 4, 0, 2, 2, 1, 7, 1}
{15, 15, 2, 8, 0, 2, 1, 4, 2, 1}
{15, 15, 2, 8, 0, 2, 1, 2, 4, 1}
{15, 15, 2, 4, 0, 1, 2, 8, 2, 1}
{15, 15, 2, 4, 0, 1, 2, 2, 8, 1}
{15, 15, 2, 2, 0, 2, 1, 8, 4, 1}
{15, 15, 2, 2, 0, 2, 1, 4, 8, 1}
{15, 15, 1, 11, 0, 1, 1, 4, 1, 1}
{15, 15, 1, 11, 0, 1, 1, 1, 4, 1}
{15, 15, 1, 7, 0, 2, 2, 4, 3, 1}
{15, 15, 1, 7, 0, 2, 2, 3, 4, 1}
{15, 15, 1, 4, 0, 1, 1, 11, 1, 1}
{15, 15, 1, 4, 0, 1, 1, 1, 11, 1}
{15, 15, 1, 1, 0, 4, 1, 8, 4, 1}
{15, 15, 1, 1, 0, 4, 1, 4, 8, 1}
{15, 12, 9, 1, 0, 5, 1, 4, 2, 1}
{15, 12, 9, 1, 0, 5, 1, 2, 4, 1}
{15, 12, 7, 7, 0, 1, 3, 3, 1, 1}
{15, 12, 7, 7, 0, 1, 3, 1, 3, 1}
{15, 12, 4, 2, 0, 1, 5, 9, 1, 1}
{15, 12, 4, 2, 0, 1, 5, 1, 9, 1}
{15, 12, 3, 1, 0, 3, 1, 7, 7, 1}
{15, 12, 2, 4, 0, 1, 5, 9, 1, 1}
{15, 12, 2, 4, 0, 1, 5, 1, 9, 1}
{15, 12, 1, 9, 0, 5, 1, 4, 2, 1}
{15, 12, 1, 9, 0, 5, 1, 2, 4, 1}
{15, 12, 1, 3, 0, 3, 1, 7, 7, 1}
{15, 10, 15, 1, 0, 1, 2, 4, 1, 1}
{15, 10, 15, 1, 0, 1, 2, 1, 4, 1}
{15, 10, 13, 1, 0, 2, 2, 3, 3, 1}
{15, 10, 4, 1, 0, 2, 1, 15, 1, 1}
{15, 10, 4, 1, 0, 2, 1, 1, 15, 1}
{15, 10, 3, 3, 0, 2, 2, 13, 1, 1}
{15, 10, 3, 3, 0, 2, 2, 1, 13, 1}
{15, 10, 1, 15, 0, 1, 2, 4, 1, 1}
{15, 10, 1, 15, 0, 1, 2, 1, 4, 1}
{15, 10, 1, 13, 0, 2, 2, 3, 3, 1}
{15, 10, 1, 4, 0, 2, 1, 15, 1, 1}
{15, 10, 1, 4, 0, 2, 1, 1, 15, 1}
{15, 8, 9, 1, 0, 9, 1, 4, 2, 1}
{15, 8, 9, 1, 0, 9, 1, 2, 4, 1}
{15, 8, 4, 2, 0, 1, 9, 9, 1, 1}
{15, 8, 4, 2, 0, 1, 9, 1, 9, 1}
{15, 8, 2, 4, 0, 1, 9, 9, 1, 1}
{15, 8, 2, 4, 0, 1, 9, 1, 9, 1}
{15, 8, 1, 9, 0, 9, 1, 4, 2, 1}
{15, 8, 1, 9, 0, 9, 1, 2, 4, 1}
{15, 5, 15, 3, 0, 4, 2, 3, 2, 1}
{15, 5, 15, 3, 0, 4, 2, 2, 3, 1}
{15, 5, 3, 15, 0, 4, 2, 3, 2, 1}
{15, 5, 3, 15, 0, 4, 2, 2, 3, 1}
{15, 5, 3, 2, 0, 2, 4, 15, 3, 1}
{15, 5, 3, 2, 0, 2, 4, 3, 15, 1}
{15, 5, 2, 3, 0, 2, 4, 15, 3, 1}
{15, 5, 2, 3, 0, 2, 4, 3, 15, 1}
{15, 3, 18, 2, 0, 1, 2, 7, 1, 1}
{15, 3, 18, 2, 0, 1, 2, 1, 7, 1}
{15, 3, 16, 4, 0, 3, 6, 1, 1, 1}
{15, 3, 16, 1, 0, 5, 1, 7, 1, 1}
{15, 3, 16, 1, 0, 5, 1, 1, 7, 1}
{15, 3, 12, 1, 0, 1, 5, 11, 1, 1}
{15, 3, 12, 1, 0, 1, 5, 1, 11, 1}
{15, 3, 11, 1, 0, 5, 1, 12, 1, 1}
{15, 3, 11, 1, 0, 5, 1, 1, 12, 1}
{15, 3, 10, 5, 0, 11, 3, 1, 1, 1}
{15, 3, 10, 4, 0, 3, 12, 1, 1, 1}
{15, 3, 9, 6, 0, 6, 3, 5, 2, 1}
{15, 3, 9, 6, 0, 6, 3, 2, 5, 1}
{15, 3, 9, 4, 0, 4, 8, 3, 3, 1}
{15, 3, 8, 5, 0, 6, 4, 6, 2, 1}
{15, 3, 8, 5, 0, 6, 4, 2, 6, 1}
{15, 3, 8, 4, 0, 5, 6, 4, 4, 1}
{15, 3, 7, 1, 0, 2, 1, 18, 2, 1}
{15, 3, 7, 1, 0, 2, 1, 2, 18, 1}
{15, 3, 7, 1, 0, 1, 5, 16, 1, 1}
{15, 3, 7, 1, 0, 1, 5, 1, 16, 1}
{15, 3, 6, 9, 0, 6, 3, 5, 2, 1}
{15, 3, 6, 9, 0, 6, 3, 2, 5, 1}
{15, 3, 6, 6, 0, 7, 4, 6, 2, 1}
{15, 3, 6, 6, 0, 7, 4, 2, 6, 1}
{15, 3, 6, 6, 0, 3, 6, 5, 5, 1}
{15, 3, 6, 4, 0, 7, 4, 5, 5, 1}
{15, 3, 6, 2, 0, 4, 7, 6, 6, 1}
{15, 3, 6, 2, 0, 4, 6, 8, 5, 1}
{15, 3, 6, 2, 0, 4, 6, 5, 8, 1}
{15, 3, 5, 10, 0, 11, 3, 1, 1, 1}
{15, 3, 5, 8, 0, 6, 4, 6, 2, 1}
{15, 3, 5, 8, 0, 6, 4, 2, 6, 1}
{15, 3, 5, 5, 0, 6, 7, 4, 4, 1}
{15, 3, 5, 5, 0, 6, 3, 6, 6, 1}
{15, 3, 5, 5, 0, 4, 7, 6, 4, 1}
{15, 3, 5, 5, 0, 4, 7, 4, 6, 1}
{15, 3, 5, 2, 0, 3, 6, 9, 6, 1}
{15, 3, 5, 2, 0, 3, 6, 6, 9, 1}
{15, 3, 4, 16, 0, 3, 6, 1, 1, 1}
{15, 3, 4, 10, 0, 3, 12, 1, 1, 1}
{15, 3, 4, 9, 0, 4, 8, 3, 3, 1}
{15, 3, 4, 8, 0, 5, 6, 4, 4, 1}
{15, 3, 4, 6, 0, 7, 4, 5, 5, 1}
{15, 3, 4, 4, 0, 7, 6, 5, 5, 1}
{15, 3, 4, 4, 0, 6, 5, 8, 4, 1}
{15, 3, 4, 4, 0, 6, 5, 4, 8, 1}
{15, 3, 3, 3, 0, 8, 4, 9, 4, 1}
{15, 3, 3, 3, 0, 8, 4, 4, 9, 1}
{15, 3, 2, 18, 0, 1, 2, 7, 1, 1}
{15, 3, 2, 18, 0, 1, 2, 1, 7, 1}
{15, 3, 2, 6, 0, 4, 7, 6, 6, 1}
{15, 3, 2, 6, 0, 4, 6, 8, 5, 1}
{15, 3, 2, 6, 0, 4, 6, 5, 8, 1}
{15, 3, 2, 5, 0, 3, 6, 9, 6, 1}
{15, 3, 2, 5, 0, 3, 6, 6, 9, 1}
{15, 3, 1, 16, 0, 5, 1, 7, 1, 1}
{15, 3, 1, 16, 0, 5, 1, 1, 7, 1}
{15, 3, 1, 12, 0, 1, 5, 11, 1, 1}
{15, 3, 1, 12, 0, 1, 5, 1, 11, 1}
{15, 3, 1, 11, 0, 5, 1, 12, 1, 1}
{15, 3, 1, 11, 0, 5, 1, 1, 12, 1}
{15, 3, 1, 7, 0, 2, 1, 18, 2, 1}
{15, 3, 1, 7, 0, 2, 1, 2, 18, 1}
{15, 3, 1, 7, 0, 1, 5, 16, 1, 1}
{15, 3, 1, 7, 0, 1, 5, 1, 16, 1}
{15, 3, 1, 1, 0, 12, 3, 10, 4, 1}
{15, 3, 1, 1, 0, 12, 3, 4, 10, 1}
{15, 3, 1, 1, 0, 6, 3, 16, 4, 1}
{15, 3, 1, 1, 0, 6, 3, 4, 16, 1}
{15, 3, 1, 1, 0, 3, 11, 10, 5, 1}
{15, 3, 1, 1, 0, 3, 11, 5, 10, 1}
{14, 8, 11, 3, 0, 3, 2, 7, 1, 1}
{14, 8, 11, 3, 0, 3, 2, 1, 7, 1}
{14, 8, 10, 6, 0, 4, 1, 4, 2, 1}
{14, 8, 10, 6, 0, 4, 1, 2, 4, 1}
{14, 8, 7, 1, 0, 2, 3, 11, 3, 1}
{14, 8, 7, 1, 0, 2, 3, 3, 11, 1}
{14, 8, 6, 10, 0, 4, 1, 4, 2, 1}
{14, 8, 6, 10, 0, 4, 1, 2, 4, 1}
{14, 8, 6, 3, 0, 11, 1, 4, 2, 1}
{14, 8, 6, 3, 0, 11, 1, 2, 4, 1}
{14, 8, 4, 2, 0, 1, 16, 3, 1, 1}
{14, 8, 4, 2, 0, 1, 16, 1, 3, 1}
{14, 8, 4, 2, 0, 1, 11, 6, 3, 1}
{14, 8, 4, 2, 0, 1, 11, 3, 6, 1}
{14, 8, 4, 2, 0, 1, 4, 10, 6, 1}
{14, 8, 4, 2, 0, 1, 4, 6, 10, 1}
{14, 8, 3, 11, 0, 3, 2, 7, 1, 1}
{14, 8, 3, 11, 0, 3, 2, 1, 7, 1}
{14, 8, 3, 6, 0, 11, 1, 4, 2, 1}
{14, 8, 3, 6, 0, 11, 1, 2, 4, 1}
{14, 8, 3, 1, 0, 16, 1, 4, 2, 1}
{14, 8, 3, 1, 0, 16, 1, 2, 4, 1}
{14, 8, 2, 4, 0, 1, 16, 3, 1, 1}
{14, 8, 2, 4, 0, 1, 16, 1, 3, 1}
{14, 8, 2, 4, 0, 1, 11, 6, 3, 1}
{14, 8, 2, 4, 0, 1, 11, 3, 6, 1}
{14, 8, 2, 4, 0, 1, 4, 10, 6, 1}
{14, 8, 2, 4, 0, 1, 4, 6, 10, 1}
{14, 8, 1, 7, 0, 2, 3, 11, 3, 1}
{14, 8, 1, 7, 0, 2, 3, 3, 11, 1}
{14, 8, 1, 3, 0, 16, 1, 4, 2, 1}
{14, 8, 1, 3, 0, 16, 1, 2, 4, 1}
{14, 6, 11, 11, 0, 2, 3, 1, 1, 1}
{14, 6, 10, 10, 0, 3, 2, 2, 2, 1}
{14, 6, 2, 2, 0, 2, 3, 10, 10, 1}
{14, 6, 1, 1, 0, 3, 2, 11, 11, 1}
{14, 5, 11, 2, 0, 3, 4, 9, 1, 1}
{14, 5, 11, 2, 0, 3, 4, 1, 9, 1}
{14, 5, 9, 1, 0, 10, 4, 3, 3, 1}
{14, 5, 9, 1, 0, 4, 3, 11, 2, 1}
{14, 5, 9, 1, 0, 4, 3, 2, 11, 1}
{14, 5, 3, 3, 0, 4, 10, 9, 1, 1}
{14, 5, 3, 3, 0, 4, 10, 1, 9, 1}
{14, 5, 2, 11, 0, 3, 4, 9, 1, 1}
{14, 5, 2, 11, 0, 3, 4, 1, 9, 1}
{14, 5, 1, 9, 0, 10, 4, 3, 3, 1}
{14, 5, 1, 9, 0, 4, 3, 11, 2, 1}
{14, 5, 1, 9, 0, 4, 3, 2, 11, 1}
{14, 3, 14, 1, 0, 5, 1, 10, 1, 1}
{14, 3, 14, 1, 0, 5, 1, 1, 10, 1}
{14, 3, 10, 5, 0, 5, 4, 7, 1, 1}
{14, 3, 10, 5, 0, 5, 4, 1, 7, 1}
{14, 3, 10, 1, 0, 1, 5, 14, 1, 1}
{14, 3, 10, 1, 0, 1, 5, 1, 14, 1}
{14, 3, 8, 8, 0, 2, 6, 4, 4, 1}
{14, 3, 7, 1, 0, 4, 5, 10, 5, 1}
{14, 3, 7, 1, 0, 4, 5, 5, 10, 1}
{14, 3, 5, 10, 0, 5, 4, 7, 1, 1}
{14, 3, 5, 10, 0, 5, 4, 1, 7, 1}
{14, 3, 4, 4, 0, 6, 2, 8, 8, 1}
{14, 3, 1, 14, 0, 5, 1, 10, 1, 1}
{14, 3, 1, 14, 0, 5, 1, 1, 10, 1}
{14, 3, 1, 10, 0, 1, 5, 14, 1, 1}
{14, 3, 1, 10, 0, 1, 5, 1, 14, 1}
{14, 3, 1, 7, 0, 4, 5, 10, 5, 1}
{14, 3, 1, 7, 0, 4, 5, 5, 10, 1}
{14, 2, 9, 8, 0, 7, 3, 3, 3, 1}
{14, 2, 9, 5, 0, 7, 6, 3, 3, 1}
{14, 2, 8, 9, 0, 7, 3, 3, 3, 1}
{14, 2, 8, 8, 0, 7, 6, 2, 2, 1}
{14, 2, 8, 6, 0, 3, 6, 5, 5, 1}
{14, 2, 7, 7, 0, 5, 7, 5, 2, 1}
{14, 2, 7, 7, 0, 5, 7, 2, 5, 1}
{14, 2, 6, 8, 0, 3, 6, 5, 5, 1}
{14, 2, 5, 9, 0, 7, 6, 3, 3, 1}
{14, 2, 5, 5, 0, 6, 3, 8, 6, 1}
{14, 2, 5, 5, 0, 6, 3, 6, 8, 1}
{14, 2, 5, 2, 0, 7, 5, 7, 7, 1}
{14, 2, 3, 3, 0, 6, 7, 9, 5, 1}
{14, 2, 3, 3, 0, 6, 7, 5, 9, 1}
{14, 2, 3, 3, 0, 3, 7, 9, 8, 1}
{14, 2, 3, 3, 0, 3, 7, 8, 9, 1}
{14, 2, 2, 5, 0, 7, 5, 7, 7, 1}
{14, 2, 2, 2, 0, 6, 7, 8, 8, 1}
{13, 16, 1, 1, 0, 9, 7, 1, 1, 1}
{13, 16, 1, 1, 0, 7, 9, 1, 1, 1}
{13, 13, 13, 1, 0, 2, 2, 3, 2, 1}
{13, 13, 13, 1, 0, 2, 2, 2, 3, 1}
{13, 13, 10, 1, 0, 2, 2, 6, 2, 1}
{13, 13, 10, 1, 0, 2, 2, 2, 6, 1}
{13, 13, 9, 6, 0, 4, 2, 1, 1, 1}
{13, 13, 9, 1, 0, 2, 2, 6, 3, 1}
{13, 13, 9, 1, 0, 2, 2, 3, 6, 1}
{13, 13, 8, 8, 0, 1, 4, 1, 1, 1}
{13, 13, 8, 8, 0, 1, 2, 2, 2, 1}
{13, 13, 6, 9, 0, 4, 2, 1, 1, 1}
{13, 13, 6, 3, 0, 2, 2, 9, 1, 1}
{13, 13, 6, 3, 0, 2, 2, 1, 9, 1}
{13, 13, 6, 2, 0, 11, 2, 1, 1, 1}
{13, 13, 6, 2, 0, 2, 2, 10, 1, 1}
{13, 13, 6, 2, 0, 2, 2, 1, 10, 1}
{13, 13, 3, 6, 0, 2, 2, 9, 1, 1}
{13, 13, 3, 6, 0, 2, 2, 1, 9, 1}
{13, 13, 3, 2, 0, 2, 2, 13, 1, 1}
{13, 13, 3, 2, 0, 2, 2, 1, 13, 1}
{13, 13, 2, 6, 0, 11, 2, 1, 1, 1}
{13, 13, 2, 6, 0, 2, 2, 10, 1, 1}
{13, 13, 2, 6, 0, 2, 2, 1, 10, 1}
{13, 13, 2, 3, 0, 2, 2, 13, 1, 1}
{13, 13, 2, 3, 0, 2, 2, 1, 13, 1}
{13, 13, 2, 2, 0, 2, 1, 8, 8, 1}
{13, 13, 1, 13, 0, 2, 2, 3, 2, 1}
{13, 13, 1, 13, 0, 2, 2, 2, 3, 1}
{13, 13, 1, 10, 0, 2, 2, 6, 2, 1}
{13, 13, 1, 10, 0, 2, 2, 2, 6, 1}
{13, 13, 1, 9, 0, 2, 2, 6, 3, 1}
{13, 13, 1, 9, 0, 2, 2, 3, 6, 1}
{13, 13, 1, 1, 0, 4, 1, 8, 8, 1}
{13, 13, 1, 1, 0, 2, 11, 6, 2, 1}
{13, 13, 1, 1, 0, 2, 11, 2, 6, 1}
{13, 13, 1, 1, 0, 2, 4, 9, 6, 1}
{13, 13, 1, 1, 0, 2, 4, 6, 9, 1}
{13, 8, 13, 1, 0, 5, 5, 3, 1, 1}
{13, 8, 13, 1, 0, 5, 5, 1, 3, 1}
{13, 8, 3, 1, 0, 5, 5, 13, 1, 1}
{13, 8, 3, 1, 0, 5, 5, 1, 13, 1}
{13, 8, 1, 13, 0, 5, 5, 3, 1, 1}
{13, 8, 1, 13, 0, 5, 5, 1, 3, 1}
{13, 8, 1, 3, 0, 5, 5, 13, 1, 1}
{13, 8, 1, 3, 0, 5, 5, 1, 13, 1}
{13, 6, 12, 3, 0, 8, 2, 4, 1, 1}
{13, 6, 12, 3, 0, 8, 2, 1, 4, 1}
{13, 6, 4, 1, 0, 2, 8, 12, 3, 1}
{13, 6, 4, 1, 0, 2, 8, 3, 12, 1}
{13, 6, 3, 12, 0, 8, 2, 4, 1, 1}
{13, 6, 3, 12, 0, 8, 2, 1, 4, 1}
{13, 6, 1, 4, 0, 2, 8, 12, 3, 1}
{13, 6, 1, 4, 0, 2, 8, 3, 12, 1}
{13, 5, 6, 2, 0, 15, 2, 3, 3, 1}
{13, 5, 6, 2, 0, 2, 15, 3, 3, 1}
{13, 5, 3, 3, 0, 15, 2, 6, 2, 1}
{13, 5, 3, 3, 0, 15, 2, 2, 6, 1}
{13, 5, 3, 3, 0, 2, 15, 6, 2, 1}
{13, 5, 3, 3, 0, 2, 15, 2, 6, 1}
{13, 5, 2, 6, 0, 15, 2, 3, 3, 1}
{13, 5, 2, 6, 0, 2, 15, 3, 3, 1}
{13, 4, 14, 2, 0, 1, 1, 13, 1, 1}
{13, 4, 14, 2, 0, 1, 1, 1, 13, 1}
{13, 4, 13, 1, 0, 1, 1, 14, 2, 1}
{13, 4, 13, 1, 0, 1, 1, 2, 14, 1}
{13, 4, 12, 3, 0, 2, 5, 9, 1, 1}
{13, 4, 12, 3, 0, 2, 5, 1, 9, 1}
{13, 4, 12, 2, 0, 7, 1, 7, 3, 1}
{13, 4, 12, 2, 0, 7, 1, 3, 7, 1}
{13, 4, 11, 11, 0, 1, 7, 1, 1, 1}
{13, 4, 11, 11, 0, 1, 5, 2, 2, 1}
{13, 4, 11, 11, 0, 1, 3, 3, 3, 1}
{13, 4, 11, 11, 0, 1, 1, 4, 4, 1}
{13, 4, 10, 10, 0, 3, 1, 4, 4, 1}
{13, 4, 9, 9, 0, 5, 1, 4, 4, 1}
{13, 4, 9, 1, 0, 5, 2, 12, 3, 1}
{13, 4, 9, 1, 0, 5, 2, 3, 12, 1}
{13, 4, 8, 8, 0, 7, 1, 4, 4, 1}
{13, 4, 7, 7, 0, 9, 1, 4, 4, 1}
{13, 4, 7, 3, 0, 11, 3, 4, 4, 1}
{13, 4, 7, 3, 0, 1, 7, 12, 2, 1}
{13, 4, 7, 3, 0, 1, 7, 2, 12, 1}
{13, 4, 6, 6, 0, 11, 1, 4, 4, 1}
{13, 4, 5, 5, 0, 13, 3, 3, 3, 1}
{13, 4, 5, 5, 0, 13, 1, 4, 4, 1}
{13, 4, 4, 4, 0, 15, 1, 4, 4, 1}
{13, 4, 4, 4, 0, 14, 2, 4, 4, 1}
{13, 4, 4, 4, 0, 13, 3, 4, 4, 1}
{13, 4, 4, 4, 0, 12, 4, 4, 4, 1}
{13, 4, 4, 4, 0, 11, 5, 4, 4, 1}
{13, 4, 4, 4, 0, 10, 6, 4, 4, 1}
{13, 4, 4, 4, 0, 9, 7, 4, 4, 1}
{13, 4, 4, 4, 0, 8, 8, 4, 4, 1}
{13, 4, 4, 4, 0, 7, 9, 4, 4, 1}
{13, 4, 4, 4, 0, 6, 10, 4, 4, 1}
{13, 4, 4, 4, 0, 5, 11, 4, 4, 1}
{13, 4, 4, 4, 0, 4, 12, 4, 4, 1}
{13, 4, 4, 4, 0, 3, 19, 1, 1, 1}
{13, 4, 4, 4, 0, 3, 13, 4, 4, 1}
{13, 4, 4, 4, 0, 3, 11, 7, 3, 1}
{13, 4, 4, 4, 0, 3, 11, 3, 7, 1}
{13, 4, 4, 4, 0, 2, 14, 4, 4, 1}
{13, 4, 4, 4, 0, 1, 21, 1, 1, 1}
{13, 4, 4, 4, 0, 1, 19, 2, 2, 1}
{13, 4, 4, 4, 0, 1, 15, 4, 4, 1}
{13, 4, 4, 4, 0, 1, 13, 5, 5, 1}
{13, 4, 4, 4, 0, 1, 11, 6, 6, 1}
{13, 4, 4, 4, 0, 1, 9, 7, 7, 1}
{13, 4, 4, 4, 0, 1, 7, 8, 8, 1}
{13, 4, 4, 4, 0, 1, 5, 9, 9, 1}
{13, 4, 4, 4, 0, 1, 3, 10, 10, 1}
{13, 4, 4, 4, 0, 1, 1, 11, 11, 1}
{13, 4, 3, 12, 0, 2, 5, 9, 1, 1}
{13, 4, 3, 12, 0, 2, 5, 1, 9, 1}
{13, 4, 3, 7, 0, 11, 3, 4, 4, 1}
{13, 4, 3, 7, 0, 1, 7, 12, 2, 1}
{13, 4, 3, 7, 0, 1, 7, 2, 12, 1}
{13, 4, 3, 3, 0, 3, 13, 5, 5, 1}
{13, 4, 3, 3, 0, 3, 1, 11, 11, 1}
{13, 4, 2, 14, 0, 1, 1, 13, 1, 1}
{13, 4, 2, 14, 0, 1, 1, 1, 13, 1}
{13, 4, 2, 12, 0, 7, 1, 7, 3, 1}
{13, 4, 2, 12, 0, 7, 1, 3, 7, 1}
{13, 4, 2, 2, 0, 19, 1, 4, 4, 1}
{13, 4, 2, 2, 0, 5, 1, 11, 11, 1}
{13, 4, 1, 13, 0, 1, 1, 14, 2, 1}
{13, 4, 1, 13, 0, 1, 1, 2, 14, 1}
{13, 4, 1, 9, 0, 5, 2, 12, 3, 1}
{13, 4, 1, 9, 0, 5, 2, 3, 12, 1}
{13, 4, 1, 1, 0, 21, 1, 4, 4, 1}
{13, 4, 1, 1, 0, 19, 3, 4, 4, 1}
{13, 4, 1, 1, 0, 7, 1, 11, 11, 1}
{13, 3, 22, 1, 0, 1, 6, 2, 1, 1}
{13, 3, 22, 1, 0, 1, 6, 1, 2, 1}
{13, 3, 2, 1, 0, 6, 1, 22, 1, 1}
{13, 3, 2, 1, 0, 6, 1, 1, 22, 1}
{13, 3, 1, 22, 0, 1, 6, 2, 1, 1}
{13, 3, 1, 22, 0, 1, 6, 1, 2, 1}
{13, 3, 1, 2, 0, 6, 1, 22, 1, 1}
{13, 3, 1, 2, 0, 6, 1, 1, 22, 1}
{13, 2, 10, 6, 0, 3, 7, 4, 4, 1}
{13, 2, 7, 7, 0, 3, 8, 6, 3, 1}
{13, 2, 7, 7, 0, 3, 8, 3, 6, 1}
{13, 2, 6, 10, 0, 3, 7, 4, 4, 1}
{13, 2, 6, 3, 0, 8, 3, 7, 7, 1}
{13, 2, 4, 4, 0, 7, 3, 10, 6, 1}
{13, 2, 4, 4, 0, 7, 3, 6, 10, 1}
{13, 2, 3, 6, 0, 8, 3, 7, 7, 1}
{12, 21, 7, 1, 0, 1, 1, 5, 1, 1}
{12, 21, 7, 1, 0, 1, 1, 1, 5, 1}
{12, 21, 5, 1, 0, 1, 1, 7, 1, 1}
{12, 21, 5, 1, 0, 1, 1, 1, 7, 1}
{12, 21, 1, 7, 0, 1, 1, 5, 1, 1}
{12, 21, 1, 7, 0, 1, 1, 1, 5, 1}
{12, 21, 1, 5, 0, 1, 1, 7, 1, 1}
{12, 21, 1, 5, 0, 1, 1, 1, 7, 1}
{12, 16, 5, 1, 0, 9, 2, 3, 1, 1}
{12, 16, 5, 1, 0, 9, 2, 1, 3, 1}
{12, 16, 3, 1, 0, 2, 9, 5, 1, 1}
{12, 16, 3, 1, 0, 2, 9, 1, 5, 1}
{12, 16, 1, 5, 0, 9, 2, 3, 1, 1}
{12, 16, 1, 5, 0, 9, 2, 1, 3, 1}
{12, 16, 1, 3, 0, 2, 9, 5, 1, 1}
{12, 16, 1, 3, 0, 2, 9, 1, 5, 1}
{12, 15, 9, 1, 0, 5, 1, 4, 2, 1}
{12, 15, 9, 1, 0, 5, 1, 2, 4, 1}
{12, 15, 7, 7, 0, 1, 3, 3, 1, 1}
{12, 15, 7, 7, 0, 1, 3, 1, 3, 1}
{12, 15, 4, 2, 0, 1, 5, 9, 1, 1}
{12, 15, 4, 2, 0, 1, 5, 1, 9, 1}
{12, 15, 3, 1, 0, 3, 1, 7, 7, 1}
{12, 15, 2, 4, 0, 1, 5, 9, 1, 1}
{12, 15, 2, 4, 0, 1, 5, 1, 9, 1}
{12, 15, 1, 9, 0, 5, 1, 4, 2, 1}
{12, 15, 1, 9, 0, 5, 1, 2, 4, 1}
{12, 15, 1, 3, 0, 3, 1, 7, 7, 1}
{12, 12, 15, 1, 0, 2, 5, 1, 1, 1}
{12, 12, 14, 2, 0, 2, 1, 4, 2, 1}
{12, 12, 14, 2, 0, 2, 1, 2, 4, 1}
{12, 12, 14, 1, 0, 2, 2, 4, 2, 1}
{12, 12, 14, 1, 0, 2, 2, 2, 4, 1}
{12, 12, 12, 1, 0, 2, 2, 4, 4, 1}
{12, 12, 11, 1, 0, 5, 2, 5, 1, 1}
{12, 12, 11, 1, 0, 5, 2, 1, 5, 1}
{12, 12, 5, 1, 0, 2, 5, 11, 1, 1}
{12, 12, 5, 1, 0, 2, 5, 1, 11, 1}
{12, 12, 4, 4, 0, 2, 2, 12, 1, 1}
{12, 12, 4, 4, 0, 2, 2, 1, 12, 1}
{12, 12, 4, 2, 0, 14, 2, 2, 1, 1}
{12, 12, 4, 2, 0, 14, 2, 1, 2, 1}
{12, 12, 4, 2, 0, 2, 2, 14, 1, 1}
{12, 12, 4, 2, 0, 2, 2, 1, 14, 1}
{12, 12, 4, 2, 0, 1, 2, 14, 2, 1}
{12, 12, 4, 2, 0, 1, 2, 2, 14, 1}
{12, 12, 2, 14, 0, 2, 1, 4, 2, 1}
{12, 12, 2, 14, 0, 2, 1, 2, 4, 1}
{12, 12, 2, 4, 0, 14, 2, 2, 1, 1}
{12, 12, 2, 4, 0, 14, 2, 1, 2, 1}
{12, 12, 2, 4, 0, 2, 2, 14, 1, 1}
{12, 12, 2, 4, 0, 2, 2, 1, 14, 1}
{12, 12, 2, 4, 0, 1, 2, 14, 2, 1}
{12, 12, 2, 4, 0, 1, 2, 2, 14, 1}
{12, 12, 2, 1, 0, 2, 14, 4, 2, 1}
{12, 12, 2, 1, 0, 2, 14, 2, 4, 1}
{12, 12, 1, 15, 0, 2, 5, 1, 1, 1}
{12, 12, 1, 14, 0, 2, 2, 4, 2, 1}
{12, 12, 1, 14, 0, 2, 2, 2, 4, 1}
{12, 12, 1, 12, 0, 2, 2, 4, 4, 1}
{12, 12, 1, 11, 0, 5, 2, 5, 1, 1}
{12, 12, 1, 11, 0, 5, 2, 1, 5, 1}
{12, 12, 1, 5, 0, 2, 5, 11, 1, 1}
{12, 12, 1, 5, 0, 2, 5, 1, 11, 1}
{12, 12, 1, 2, 0, 2, 14, 4, 2, 1}
{12, 12, 1, 2, 0, 2, 14, 2, 4, 1}
{12, 12, 1, 1, 0, 5, 2, 15, 1, 1}
{12, 12, 1, 1, 0, 5, 2, 1, 15, 1}
{12, 8, 13, 1, 0, 2, 5, 6, 2, 1}
{12, 8, 13, 1, 0, 2, 5, 2, 6, 1}
{12, 8, 12, 2, 0, 5, 2, 7, 1, 1}
{12, 8, 12, 2, 0, 5, 2, 1, 7, 1}
{12, 8, 12, 1, 0, 3, 1, 10, 2, 1}
{12, 8, 12, 1, 0, 3, 1, 2, 10, 1}
{12, 8, 10, 2, 0, 1, 3, 12, 1, 1}
{12, 8, 10, 2, 0, 1, 3, 1, 12, 1}
{12, 8, 7, 1, 0, 2, 5, 12, 2, 1}
{12, 8, 7, 1, 0, 2, 5, 2, 12, 1}
{12, 8, 6, 2, 0, 5, 2, 13, 1, 1}
{12, 8, 6, 2, 0, 5, 2, 1, 13, 1}
{12, 8, 2, 12, 0, 5, 2, 7, 1, 1}
{12, 8, 2, 12, 0, 5, 2, 1, 7, 1}
{12, 8, 2, 10, 0, 1, 3, 12, 1, 1}
{12, 8, 2, 10, 0, 1, 3, 1, 12, 1}
{12, 8, 2, 6, 0, 5, 2, 13, 1, 1}
{12, 8, 2, 6, 0, 5, 2, 1, 13, 1}
{12, 8, 1, 13, 0, 2, 5, 6, 2, 1}
{12, 8, 1, 13, 0, 2, 5, 2, 6, 1}
{12, 8, 1, 12, 0, 3, 1, 10, 2, 1}
{12, 8, 1, 12, 0, 3, 1, 2, 10, 1}
{12, 8, 1, 7, 0, 2, 5, 12, 2, 1}
{12, 8, 1, 7, 0, 2, 5, 2, 12, 1}
{12, 7, 11, 1, 0, 3, 1, 7, 7, 1}
{12, 7, 7, 7, 0, 1, 3, 11, 1, 1}
{12, 7, 7, 7, 0, 1, 3, 1, 11, 1}
{12, 7, 1, 11, 0, 3, 1, 7, 7, 1}
{12, 6, 12, 4, 0, 5, 2, 7, 1, 1}
{12, 6, 12, 4, 0, 5, 2, 1, 7, 1}
{12, 6, 7, 1, 0, 2, 5, 12, 4, 1}
{12, 6, 7, 1, 0, 2, 5, 4, 12, 1}
{12, 6, 6, 6, 0, 4, 5, 5, 5, 1}
{12, 6, 5, 5, 0, 5, 4, 6, 6, 1}
{12, 6, 4, 12, 0, 5, 2, 7, 1, 1}
{12, 6, 4, 12, 0, 5, 2, 1, 7, 1}
{12, 6, 1, 7, 0, 2, 5, 12, 4, 1}
{12, 6, 1, 7, 0, 2, 5, 4, 12, 1}
{12, 5, 14, 2, 0, 1, 5, 9, 1, 1}
{12, 5, 14, 2, 0, 1, 5, 1, 9, 1}
{12, 5, 12, 4, 0, 3, 1, 10, 2, 1}
{12, 5, 12, 4, 0, 3, 1, 2, 10, 1}
{12, 5, 10, 2, 0, 1, 3, 12, 4, 1}
{12, 5, 10, 2, 0, 1, 3, 4, 12, 1}
{12, 5, 9, 1, 0, 5, 1, 14, 2, 1}
{12, 5, 9, 1, 0, 5, 1, 2, 14, 1}
{12, 5, 4, 12, 0, 3, 1, 10, 2, 1}
{12, 5, 4, 12, 0, 3, 1, 2, 10, 1}
{12, 5, 2, 14, 0, 1, 5, 9, 1, 1}
{12, 5, 2, 14, 0, 1, 5, 1, 9, 1}
{12, 5, 2, 10, 0, 1, 3, 12, 4, 1}
{12, 5, 2, 10, 0, 1, 3, 4, 12, 1}
{12, 5, 1, 9, 0, 5, 1, 14, 2, 1}
{12, 5, 1, 9, 0, 5, 1, 2, 14, 1}
{12, 4, 21, 3, 0, 2, 5, 1, 1, 1}
{12, 4, 20, 5, 0, 3, 3, 1, 1, 1}
{12, 4, 15, 3, 0, 3, 4, 6, 2, 1}
{12, 4, 15, 3, 0, 3, 4, 2, 6, 1}
{12, 4, 15, 3, 0, 1, 2, 9, 3, 1}
{12, 4, 15, 3, 0, 1, 2, 3, 9, 1}
{12, 4, 13, 5, 0, 3, 3, 8, 1, 1}
{12, 4, 13, 5, 0, 3, 3, 1, 8, 1}
{12, 4, 12, 6, 0, 7, 2, 3, 3, 1}
{12, 4, 12, 6, 0, 1, 6, 7, 1, 1}
{12, 4, 12, 6, 0, 1, 6, 1, 7, 1}
{12, 4, 12, 4, 0, 2, 3, 10, 2, 1}
{12, 4, 12, 4, 0, 2, 3, 2, 10, 1}
{12, 4, 11, 3, 0, 6, 3, 7, 3, 1}
{12, 4, 11, 3, 0, 6, 3, 3, 7, 1}
{12, 4, 11, 1, 0, 6, 1, 7, 7, 1}
{12, 4, 10, 10, 0, 5, 2, 3, 3, 1}
{12, 4, 10, 10, 0, 1, 6, 5, 1, 1}
{12, 4, 10, 10, 0, 1, 6, 1, 5, 1}
{12, 4, 10, 2, 0, 6, 6, 5, 4, 1}
{12, 4, 10, 2, 0, 6, 6, 4, 5, 1}
{12, 4, 10, 2, 0, 3, 6, 8, 4, 1}
{12, 4, 10, 2, 0, 3, 6, 4, 8, 1}
{12, 4, 10, 2, 0, 3, 2, 12, 4, 1}
{12, 4, 10, 2, 0, 3, 2, 4, 12, 1}
{12, 4, 9, 3, 0, 10, 1, 7, 3, 1}
{12, 4, 9, 3, 0, 10, 1, 3, 7, 1}
{12, 4, 9, 3, 0, 7, 4, 7, 3, 1}
{12, 4, 9, 3, 0, 7, 4, 3, 7, 1}
{12, 4, 9, 3, 0, 2, 1, 15, 3, 1}
{12, 4, 9, 3, 0, 2, 1, 3, 15, 1}
{12, 4, 8, 8, 0, 7, 2, 6, 2, 1}
{12, 4, 8, 8, 0, 7, 2, 2, 6, 1}
{12, 4, 8, 4, 0, 6, 3, 10, 2, 1}
{12, 4, 8, 4, 0, 6, 3, 2, 10, 1}
{12, 4, 8, 3, 0, 7, 7, 6, 2, 1}
{12, 4, 8, 3, 0, 7, 7, 2, 6, 1}
{12, 4, 8, 1, 0, 3, 3, 13, 5, 1}
{12, 4, 8, 1, 0, 3, 3, 5, 13, 1}
{12, 4, 7, 7, 0, 11, 2, 3, 3, 1}
{12, 4, 7, 7, 0, 6, 3, 5, 5, 1}
{12, 4, 7, 7, 0, 1, 6, 11, 1, 1}
{12, 4, 7, 7, 0, 1, 6, 1, 11, 1}
{12, 4, 7, 3, 0, 4, 7, 9, 3, 1}
{12, 4, 7, 3, 0, 4, 7, 3, 9, 1}
{12, 4, 7, 3, 0, 3, 12, 6, 2, 1}
{12, 4, 7, 3, 0, 3, 12, 2, 6, 1}
{12, 4, 7, 3, 0, 3, 6, 11, 3, 1}
{12, 4, 7, 3, 0, 3, 6, 3, 11, 1}
{12, 4, 7, 3, 0, 1, 10, 9, 3, 1}
{12, 4, 7, 3, 0, 1, 10, 3, 9, 1}
{12, 4, 7, 1, 0, 6, 1, 12, 6, 1}
{12, 4, 7, 1, 0, 6, 1, 6, 12, 1}
{12, 4, 6, 12, 0, 7, 2, 3, 3, 1}
{12, 4, 6, 12, 0, 1, 6, 7, 1, 1}
{12, 4, 6, 12, 0, 1, 6, 1, 7, 1}
{12, 4, 6, 2, 0, 12, 3, 7, 3, 1}
{12, 4, 6, 2, 0, 12, 3, 3, 7, 1}
{12, 4, 6, 2, 0, 7, 7, 8, 3, 1}
{12, 4, 6, 2, 0, 7, 7, 3, 8, 1}
{12, 4, 6, 2, 0, 4, 3, 15, 3, 1}
{12, 4, 6, 2, 0, 4, 3, 3, 15, 1}
{12, 4, 6, 2, 0, 2, 7, 8, 8, 1}
{12, 4, 5, 20, 0, 3, 3, 1, 1, 1}
{12, 4, 5, 13, 0, 3, 3, 8, 1, 1}
{12, 4, 5, 13, 0, 3, 3, 1, 8, 1}
{12, 4, 5, 5, 0, 3, 6, 7, 7, 1}
{12, 4, 5, 4, 0, 6, 6, 10, 2, 1}
{12, 4, 5, 4, 0, 6, 6, 2, 10, 1}
{12, 4, 5, 1, 0, 6, 1, 10, 10, 1}
{12, 4, 4, 12, 0, 2, 3, 10, 2, 1}
{12, 4, 4, 12, 0, 2, 3, 2, 10, 1}
{12, 4, 4, 8, 0, 6, 3, 10, 2, 1}
{12, 4, 4, 8, 0, 6, 3, 2, 10, 1}
{12, 4, 4, 5, 0, 6, 6, 10, 2, 1}
{12, 4, 4, 5, 0, 6, 6, 2, 10, 1}
{12, 4, 3, 21, 0, 2, 5, 1, 1, 1}
{12, 4, 3, 15, 0, 3, 4, 6, 2, 1}
{12, 4, 3, 15, 0, 3, 4, 2, 6, 1}
{12, 4, 3, 15, 0, 1, 2, 9, 3, 1}
{12, 4, 3, 15, 0, 1, 2, 3, 9, 1}
{12, 4, 3, 11, 0, 6, 3, 7, 3, 1}
{12, 4, 3, 11, 0, 6, 3, 3, 7, 1}
{12, 4, 3, 9, 0, 10, 1, 7, 3, 1}
{12, 4, 3, 9, 0, 10, 1, 3, 7, 1}
{12, 4, 3, 9, 0, 7, 4, 7, 3, 1}
{12, 4, 3, 9, 0, 7, 4, 3, 7, 1}
{12, 4, 3, 9, 0, 2, 1, 15, 3, 1}
{12, 4, 3, 9, 0, 2, 1, 3, 15, 1}
{12, 4, 3, 8, 0, 7, 7, 6, 2, 1}
{12, 4, 3, 8, 0, 7, 7, 2, 6, 1}
{12, 4, 3, 7, 0, 4, 7, 9, 3, 1}
{12, 4, 3, 7, 0, 4, 7, 3, 9, 1}
{12, 4, 3, 7, 0, 3, 12, 6, 2, 1}
{12, 4, 3, 7, 0, 3, 12, 2, 6, 1}
{12, 4, 3, 7, 0, 3, 6, 11, 3, 1}
{12, 4, 3, 7, 0, 3, 6, 3, 11, 1}
{12, 4, 3, 7, 0, 1, 10, 9, 3, 1}
{12, 4, 3, 7, 0, 1, 10, 3, 9, 1}
{12, 4, 3, 3, 0, 2, 11, 7, 7, 1}
{12, 4, 3, 3, 0, 2, 7, 12, 6, 1}
{12, 4, 3, 3, 0, 2, 7, 6, 12, 1}
{12, 4, 3, 3, 0, 2, 5, 10, 10, 1}
{12, 4, 2, 10, 0, 6, 6, 5, 4, 1}
{12, 4, 2, 10, 0, 6, 6, 4, 5, 1}
{12, 4, 2, 10, 0, 3, 6, 8, 4, 1}
{12, 4, 2, 10, 0, 3, 6, 4, 8, 1}
{12, 4, 2, 10, 0, 3, 2, 12, 4, 1}
{12, 4, 2, 10, 0, 3, 2, 4, 12, 1}
{12, 4, 2, 6, 0, 12, 3, 7, 3, 1}
{12, 4, 2, 6, 0, 12, 3, 3, 7, 1}
{12, 4, 2, 6, 0, 7, 7, 8, 3, 1}
{12, 4, 2, 6, 0, 7, 7, 3, 8, 1}
{12, 4, 2, 6, 0, 4, 3, 15, 3, 1}
{12, 4, 2, 6, 0, 4, 3, 3, 15, 1}
{12, 4, 2, 6, 0, 2, 7, 8, 8, 1}
{12, 4, 1, 11, 0, 6, 1, 7, 7, 1}
{12, 4, 1, 8, 0, 3, 3, 13, 5, 1}
{12, 4, 1, 8, 0, 3, 3, 5, 13, 1}
{12, 4, 1, 7, 0, 6, 1, 12, 6, 1}
{12, 4, 1, 7, 0, 6, 1, 6, 12, 1}
{12, 4, 1, 5, 0, 6, 1, 10, 10, 1}
{12, 4, 1, 1, 0, 5, 2, 21, 3, 1}
{12, 4, 1, 1, 0, 5, 2, 3, 21, 1}
{12, 4, 1, 1, 0, 3, 3, 20, 5, 1}
{12, 4, 1, 1, 0, 3, 3, 5, 20, 1}
{12, 3, 15, 10, 0, 2, 5, 1, 1, 1}
{12, 3, 15, 4, 0, 8, 5, 1, 1, 1}
{12, 3, 13, 11, 0, 2, 5, 2, 1, 1}
{12, 3, 13, 11, 0, 2, 5, 1, 2, 1}
{12, 3, 12, 4, 0, 3, 9, 3, 3, 1}
{12, 3, 11, 13, 0, 2, 5, 2, 1, 1}
{12, 3, 11, 13, 0, 2, 5, 1, 2, 1}
{12, 3, 10, 15, 0, 2, 5, 1, 1, 1}
{12, 3, 10, 9, 0, 11, 2, 1, 1, 1}
{12, 3, 10, 4, 0, 3, 7, 5, 5, 1}
{12, 3, 9, 10, 0, 11, 2, 1, 1, 1}
{12, 3, 8, 4, 0, 10, 4, 4, 4, 1}
{12, 3, 8, 4, 0, 7, 9, 3, 3, 1}
{12, 3, 7, 5, 0, 11, 8, 2, 1, 1}
{12, 3, 7, 5, 0, 11, 8, 1, 2, 1}
{12, 3, 6, 6, 0, 3, 17, 1, 1, 1}
{12, 3, 6, 6, 0, 3, 13, 5, 1, 1}
{12, 3, 6, 6, 0, 3, 13, 1, 5, 1}
{12, 3, 5, 7, 0, 11, 8, 2, 1, 1}
{12, 3, 5, 7, 0, 11, 8, 1, 2, 1}
{12, 3, 5, 5, 0, 7, 3, 10, 4, 1}
{12, 3, 5, 5, 0, 7, 3, 4, 10, 1}
{12, 3, 5, 1, 0, 13, 3, 6, 6, 1}
{12, 3, 4, 15, 0, 8, 5, 1, 1, 1}
{12, 3, 4, 12, 0, 3, 9, 3, 3, 1}
{12, 3, 4, 10, 0, 3, 7, 5, 5, 1}
{12, 3, 4, 8, 0, 10, 4, 4, 4, 1}
{12, 3, 4, 8, 0, 7, 9, 3, 3, 1}
{12, 3, 4, 4, 0, 4, 10, 8, 4, 1}
{12, 3, 4, 4, 0, 4, 10, 4, 8, 1}
{12, 3, 3, 3, 0, 9, 7, 8, 4, 1}
{12, 3, 3, 3, 0, 9, 7, 4, 8, 1}
{12, 3, 3, 3, 0, 9, 3, 12, 4, 1}
{12, 3, 3, 3, 0, 9, 3, 4, 12, 1}
{12, 3, 2, 1, 0, 8, 11, 7, 5, 1}
{12, 3, 2, 1, 0, 8, 11, 5, 7, 1}
{12, 3, 2, 1, 0, 5, 2, 13, 11, 1}
{12, 3, 2, 1, 0, 5, 2, 11, 13, 1}
{12, 3, 1, 5, 0, 13, 3, 6, 6, 1}
{12, 3, 1, 2, 0, 8, 11, 7, 5, 1}
{12, 3, 1, 2, 0, 8, 11, 5, 7, 1}
{12, 3, 1, 2, 0, 5, 2, 13, 11, 1}
{12, 3, 1, 2, 0, 5, 2, 11, 13, 1}
{12, 3, 1, 1, 0, 17, 3, 6, 6, 1}
{12, 3, 1, 1, 0, 5, 8, 15, 4, 1}
{12, 3, 1, 1, 0, 5, 8, 4, 15, 1}
{12, 3, 1, 1, 0, 5, 2, 15, 10, 1}
{12, 3, 1, 1, 0, 5, 2, 10, 15, 1}
{12, 3, 1, 1, 0, 2, 11, 10, 9, 1}
{12, 3, 1, 1, 0, 2, 11, 9, 10, 1}
{12, 2, 8, 8, 0, 5, 3, 7, 4, 1}
{12, 2, 8, 8, 0, 5, 3, 4, 7, 1}
{12, 2, 7, 4, 0, 3, 5, 8, 8, 1}
{12, 2, 5, 5, 0, 5, 12, 4, 4, 1}
{12, 2, 4, 7, 0, 3, 5, 8, 8, 1}
{12, 2, 4, 4, 0, 12, 5, 5, 5, 1}
{12, 1, 10, 6, 0, 6, 6, 6, 2, 1}
{12, 1, 10, 6, 0, 6, 6, 2, 6, 1}
{12, 1, 6, 10, 0, 6, 6, 6, 2, 1}
{12, 1, 6, 10, 0, 6, 6, 2, 6, 1}
{12, 1, 6, 2, 0, 6, 6, 10, 6, 1}
{12, 1, 6, 2, 0, 6, 6, 6, 10, 1}
{12, 1, 2, 6, 0, 6, 6, 10, 6, 1}
{12, 1, 2, 6, 0, 6, 6, 6, 10, 1}
{11, 22, 3, 3, 0, 6, 2, 1, 1, 1}
{11, 22, 1, 1, 0, 2, 6, 3, 3, 1}
{11, 11, 19, 1, 0, 2, 1, 3, 1, 1}
{11, 11, 19, 1, 0, 2, 1, 1, 3, 1}
{11, 11, 15, 1, 0, 4, 5, 1, 1, 1}
{11, 11, 12, 1, 0, 1, 2, 10, 1, 1}
{11, 11, 12, 1, 0, 1, 2, 1, 10, 1}
{11, 11, 11, 1, 0, 3, 1, 9, 2, 1}
{11, 11, 11, 1, 0, 3, 1, 2, 9, 1}
{11, 11, 10, 1, 0, 2, 1, 12, 1, 1}
{11, 11, 10, 1, 0, 2, 1, 1, 12, 1}
{11, 11, 9, 9, 0, 1, 3, 4, 1, 1}
{11, 11, 9, 9, 0, 1, 3, 1, 4, 1}
{11, 11, 9, 2, 0, 1, 3, 11, 1, 1}
{11, 11, 9, 2, 0, 1, 3, 1, 11, 1}
{11, 11, 6, 1, 0, 4, 14, 1, 1, 1}
{11, 11, 4, 1, 0, 3, 1, 9, 9, 1}
{11, 11, 3, 1, 0, 1, 2, 19, 1, 1}
{11, 11, 3, 1, 0, 1, 2, 1, 19, 1}
{11, 11, 2, 9, 0, 1, 3, 11, 1, 1}
{11, 11, 2, 9, 0, 1, 3, 1, 11, 1}
{11, 11, 1, 19, 0, 2, 1, 3, 1, 1}
{11, 11, 1, 19, 0, 2, 1, 1, 3, 1}
{11, 11, 1, 15, 0, 4, 5, 1, 1, 1}
{11, 11, 1, 12, 0, 1, 2, 10, 1, 1}
{11, 11, 1, 12, 0, 1, 2, 1, 10, 1}
{11, 11, 1, 11, 0, 3, 1, 9, 2, 1}
{11, 11, 1, 11, 0, 3, 1, 2, 9, 1}
{11, 11, 1, 10, 0, 2, 1, 12, 1, 1}
{11, 11, 1, 10, 0, 2, 1, 1, 12, 1}
{11, 11, 1, 6, 0, 4, 14, 1, 1, 1}
{11, 11, 1, 4, 0, 3, 1, 9, 9, 1}
{11, 11, 1, 3, 0, 1, 2, 19, 1, 1}
{11, 11, 1, 3, 0, 1, 2, 1, 19, 1}
{11, 11, 1, 1, 0, 14, 4, 6, 1, 1}
{11, 11, 1, 1, 0, 14, 4, 1, 6, 1}
{11, 11, 1, 1, 0, 5, 4, 15, 1, 1}
{11, 11, 1, 1, 0, 5, 4, 1, 15, 1}
{11, 8, 9, 1, 0, 13, 3, 2, 2, 1}
{11, 8, 2, 2, 0, 3, 13, 9, 1, 1}
{11, 8, 2, 2, 0, 3, 13, 1, 9, 1}
{11, 8, 1, 9, 0, 13, 3, 2, 2, 1}
{11, 5, 14, 2, 0, 9, 1, 4, 3, 1}
{11, 5, 14, 2, 0, 9, 1, 3, 4, 1}
{11, 5, 14, 2, 0, 1, 1, 12, 3, 1}
{11, 5, 14, 2, 0, 1, 1, 3, 12, 1}
{11, 5, 12, 3, 0, 1, 1, 14, 2, 1}
{11, 5, 12, 3, 0, 1, 1, 2, 14, 1}
{11, 5, 12, 2, 0, 1, 10, 6, 2, 1}
{11, 5, 12, 2, 0, 1, 10, 2, 6, 1}
{11, 5, 6, 2, 0, 10, 7, 6, 2, 1}
{11, 5, 6, 2, 0, 10, 7, 2, 6, 1}
{11, 5, 6, 2, 0, 10, 1, 12, 2, 1}
{11, 5, 6, 2, 0, 10, 1, 2, 12, 1}
{11, 5, 6, 2, 0, 7, 10, 6, 2, 1}
{11, 5, 6, 2, 0, 7, 10, 2, 6, 1}
{11, 5, 4, 3, 0, 1, 9, 14, 2, 1}
{11, 5, 4, 3, 0, 1, 9, 2, 14, 1}
{11, 5, 3, 12, 0, 1, 1, 14, 2, 1}
{11, 5, 3, 12, 0, 1, 1, 2, 14, 1}
{11, 5, 3, 4, 0, 1, 9, 14, 2, 1}
{11, 5, 3, 4, 0, 1, 9, 2, 14, 1}
{11, 5, 2, 14, 0, 9, 1, 4, 3, 1}
{11, 5, 2, 14, 0, 9, 1, 3, 4, 1}
{11, 5, 2, 14, 0, 1, 1, 12, 3, 1}
{11, 5, 2, 14, 0, 1, 1, 3, 12, 1}
{11, 5, 2, 12, 0, 1, 10, 6, 2, 1}
{11, 5, 2, 12, 0, 1, 10, 2, 6, 1}
{11, 5, 2, 6, 0, 10, 7, 6, 2, 1}
{11, 5, 2, 6, 0, 10, 7, 2, 6, 1}
{11, 5, 2, 6, 0, 10, 1, 12, 2, 1}
{11, 5, 2, 6, 0, 10, 1, 2, 12, 1}
{11, 5, 2, 6, 0, 7, 10, 6, 2, 1}
{11, 5, 2, 6, 0, 7, 10, 2, 6, 1}
{11, 4, 15, 9, 0, 6, 2, 1, 1, 1}
{11, 4, 15, 5, 0, 3, 2, 6, 3, 1}
{11, 4, 15, 5, 0, 3, 2, 3, 6, 1}
{11, 4, 15, 3, 0, 1, 9, 5, 1, 1}
{11, 4, 15, 3, 0, 1, 9, 1, 5, 1}
{11, 4, 10, 3, 0, 6, 6, 6, 3, 1}
{11, 4, 10, 3, 0, 6, 6, 3, 6, 1}
{11, 4, 9, 15, 0, 6, 2, 1, 1, 1}
{11, 4, 7, 7, 0, 14, 2, 3, 1, 1}
{11, 4, 7, 7, 0, 14, 2, 1, 3, 1}
{11, 4, 7, 7, 0, 9, 2, 6, 3, 1}
{11, 4, 7, 7, 0, 9, 2, 3, 6, 1}
{11, 4, 6, 3, 0, 6, 6, 10, 3, 1}
{11, 4, 6, 3, 0, 6, 6, 3, 10, 1}
{11, 4, 6, 3, 0, 2, 9, 7, 7, 1}
{11, 4, 6, 3, 0, 2, 3, 15, 5, 1}
{11, 4, 6, 3, 0, 2, 3, 5, 15, 1}
{11, 4, 5, 15, 0, 3, 2, 6, 3, 1}
{11, 4, 5, 15, 0, 3, 2, 3, 6, 1}
{11, 4, 5, 1, 0, 9, 1, 15, 3, 1}
{11, 4, 5, 1, 0, 9, 1, 3, 15, 1}
{11, 4, 3, 15, 0, 1, 9, 5, 1, 1}
{11, 4, 3, 15, 0, 1, 9, 1, 5, 1}
{11, 4, 3, 10, 0, 6, 6, 6, 3, 1}
{11, 4, 3, 10, 0, 6, 6, 3, 6, 1}
{11, 4, 3, 6, 0, 6, 6, 10, 3, 1}
{11, 4, 3, 6, 0, 6, 6, 3, 10, 1}
{11, 4, 3, 6, 0, 2, 9, 7, 7, 1}
{11, 4, 3, 6, 0, 2, 3, 15, 5, 1}
{11, 4, 3, 6, 0, 2, 3, 5, 15, 1}
{11, 4, 3, 1, 0, 2, 14, 7, 7, 1}
{11, 4, 1, 5, 0, 9, 1, 15, 3, 1}
{11, 4, 1, 5, 0, 9, 1, 3, 15, 1}
{11, 4, 1, 3, 0, 2, 14, 7, 7, 1}
{11, 4, 1, 1, 0, 2, 6, 15, 9, 1}
{11, 4, 1, 1, 0, 2, 6, 9, 15, 1}
{11, 2, 12, 6, 0, 3, 7, 5, 3, 1}
{11, 2, 12, 6, 0, 3, 7, 3, 5, 1}
{11, 2, 9, 9, 0, 11, 3, 2, 2, 1}
{11, 2, 8, 8, 0, 3, 11, 3, 3, 1}
{11, 2, 8, 5, 0, 6, 11, 3, 3, 1}
{11, 2, 6, 12, 0, 3, 7, 5, 3, 1}
{11, 2, 6, 12, 0, 3, 7, 3, 5, 1}
{11, 2, 6, 6, 0, 7, 11, 3, 3, 1}
{11, 2, 5, 8, 0, 6, 11, 3, 3, 1}
{11, 2, 5, 5, 0, 11, 7, 5, 3, 1}
{11, 2, 5, 5, 0, 11, 7, 3, 5, 1}
{11, 2, 5, 3, 0, 7, 11, 5, 5, 1}
{11, 2, 5, 3, 0, 7, 3, 12, 6, 1}
{11, 2, 5, 3, 0, 7, 3, 6, 12, 1}
{11, 2, 3, 5, 0, 7, 11, 5, 5, 1}
{11, 2, 3, 5, 0, 7, 3, 12, 6, 1}
{11, 2, 3, 5, 0, 7, 3, 6, 12, 1}
{11, 2, 3, 3, 0, 11, 7, 6, 6, 1}
{11, 2, 3, 3, 0, 11, 6, 8, 5, 1}
{11, 2, 3, 3, 0, 11, 6, 5, 8, 1}
{11, 2, 3, 3, 0, 11, 3, 8, 8, 1}
{11, 2, 2, 2, 0, 3, 11, 9, 9, 1}
{11, 1, 9, 5, 0, 10, 7, 3, 3, 1}
{11, 1, 9, 2, 0, 4, 8, 7, 7, 1}
{11, 1, 7, 7, 0, 8, 4, 9, 2, 1}
{11, 1, 7, 7, 0, 8, 4, 2, 9, 1}
{11, 1, 5, 9, 0, 10, 7, 3, 3, 1}
{11, 1, 3, 3, 0, 7, 10, 9, 5, 1}
{11, 1, 3, 3, 0, 7, 10, 5, 9, 1}
{11, 1, 2, 9, 0, 4, 8, 7, 7, 1}
{10, 20, 3, 3, 0, 9, 2, 1, 1, 1}
{10, 20, 1, 1, 0, 2, 9, 3, 3, 1}
{10, 19, 7, 1, 0, 7, 3, 1, 1, 1}
{10, 19, 1, 7, 0, 7, 3, 1, 1, 1}
{10, 19, 1, 1, 0, 3, 7, 7, 1, 1}
{10, 19, 1, 1, 0, 3, 7, 1, 7, 1}
{10, 15, 15, 1, 0, 1, 2, 4, 1, 1}
{10, 15, 15, 1, 0, 1, 2, 1, 4, 1}
{10, 15, 13, 1, 0, 2, 2, 3, 3, 1}
{10, 15, 4, 1, 0, 2, 1, 15, 1, 1}
{10, 15, 4, 1, 0, 2, 1, 1, 15, 1}
{10, 15, 3, 3, 0, 2, 2, 13, 1, 1}
{10, 15, 3, 3, 0, 2, 2, 1, 13, 1}
{10, 15, 1, 15, 0, 1, 2, 4, 1, 1}
{10, 15, 1, 15, 0, 1, 2, 1, 4, 1}
{10, 15, 1, 13, 0, 2, 2, 3, 3, 1}
{10, 15, 1, 4, 0, 2, 1, 15, 1, 1}
{10, 15, 1, 4, 0, 2, 1, 1, 15, 1}
{10, 10, 17, 1, 0, 2, 3, 4, 2, 1}
{10, 10, 17, 1, 0, 2, 3, 2, 4, 1}
{10, 10, 15, 3, 0, 1, 3, 6, 1, 1}
{10, 10, 15, 3, 0, 1, 3, 1, 6, 1}
{10, 10, 13, 1, 0, 4, 3, 7, 1, 1}
{10, 10, 13, 1, 0, 4, 3, 1, 7, 1}
{10, 10, 13, 1, 0, 3, 7, 4, 1, 1}
{10, 10, 13, 1, 0, 3, 7, 1, 4, 1}
{10, 10, 12, 4, 0, 3, 2, 7, 1, 1}
{10, 10, 12, 4, 0, 3, 2, 1, 7, 1}
{10, 10, 11, 1, 0, 2, 3, 10, 2, 1}
{10, 10, 11, 1, 0, 2, 3, 2, 10, 1}
{10, 10, 10, 2, 0, 11, 2, 3, 1, 1}
{10, 10, 10, 2, 0, 11, 2, 1, 3, 1}
{10, 10, 10, 2, 0, 3, 2, 11, 1, 1}
{10, 10, 10, 2, 0, 3, 2, 1, 11, 1}
{10, 10, 9, 1, 0, 2, 11, 4, 2, 1}
{10, 10, 9, 1, 0, 2, 11, 2, 4, 1}
{10, 10, 8, 1, 0, 9, 3, 7, 1, 1}
{10, 10, 8, 1, 0, 9, 3, 1, 7, 1}
{10, 10, 7, 1, 0, 3, 9, 8, 1, 1}
{10, 10, 7, 1, 0, 3, 9, 1, 8, 1}
{10, 10, 7, 1, 0, 3, 4, 13, 1, 1}
{10, 10, 7, 1, 0, 3, 4, 1, 13, 1}
{10, 10, 7, 1, 0, 2, 3, 12, 4, 1}
{10, 10, 7, 1, 0, 2, 3, 4, 12, 1}
{10, 10, 6, 1, 0, 3, 1, 15, 3, 1}
{10, 10, 6, 1, 0, 3, 1, 3, 15, 1}
{10, 10, 4, 12, 0, 3, 2, 7, 1, 1}
{10, 10, 4, 12, 0, 3, 2, 1, 7, 1}
{10, 10, 4, 2, 0, 11, 2, 9, 1, 1}
{10, 10, 4, 2, 0, 11, 2, 1, 9, 1}
{10, 10, 4, 2, 0, 3, 2, 17, 1, 1}
{10, 10, 4, 2, 0, 3, 2, 1, 17, 1}
{10, 10, 4, 1, 0, 7, 3, 13, 1, 1}
{10, 10, 4, 1, 0, 7, 3, 1, 13, 1}
{10, 10, 3, 15, 0, 1, 3, 6, 1, 1}
{10, 10, 3, 15, 0, 1, 3, 1, 6, 1}
{10, 10, 3, 1, 0, 2, 11, 10, 2, 1}
{10, 10, 3, 1, 0, 2, 11, 2, 10, 1}
{10, 10, 2, 10, 0, 11, 2, 3, 1, 1}
{10, 10, 2, 10, 0, 11, 2, 1, 3, 1}
{10, 10, 2, 10, 0, 3, 2, 11, 1, 1}
{10, 10, 2, 10, 0, 3, 2, 1, 11, 1}
{10, 10, 2, 4, 0, 11, 2, 9, 1, 1}
{10, 10, 2, 4, 0, 11, 2, 1, 9, 1}
{10, 10, 2, 4, 0, 3, 2, 17, 1, 1}
{10, 10, 2, 4, 0, 3, 2, 1, 17, 1}
{10, 10, 1, 17, 0, 2, 3, 4, 2, 1}
{10, 10, 1, 17, 0, 2, 3, 2, 4, 1}
{10, 10, 1, 13, 0, 4, 3, 7, 1, 1}
{10, 10, 1, 13, 0, 4, 3, 1, 7, 1}
{10, 10, 1, 13, 0, 3, 7, 4, 1, 1}
{10, 10, 1, 13, 0, 3, 7, 1, 4, 1}
{10, 10, 1, 11, 0, 2, 3, 10, 2, 1}
{10, 10, 1, 11, 0, 2, 3, 2, 10, 1}
{10, 10, 1, 9, 0, 2, 11, 4, 2, 1}
{10, 10, 1, 9, 0, 2, 11, 2, 4, 1}
{10, 10, 1, 8, 0, 9, 3, 7, 1, 1}
{10, 10, 1, 8, 0, 9, 3, 1, 7, 1}
{10, 10, 1, 7, 0, 3, 9, 8, 1, 1}
{10, 10, 1, 7, 0, 3, 9, 1, 8, 1}
{10, 10, 1, 7, 0, 3, 4, 13, 1, 1}
{10, 10, 1, 7, 0, 3, 4, 1, 13, 1}
{10, 10, 1, 7, 0, 2, 3, 12, 4, 1}
{10, 10, 1, 7, 0, 2, 3, 4, 12, 1}
{10, 10, 1, 6, 0, 3, 1, 15, 3, 1}
{10, 10, 1, 6, 0, 3, 1, 3, 15, 1}
{10, 10, 1, 4, 0, 7, 3, 13, 1, 1}
{10, 10, 1, 4, 0, 7, 3, 1, 13, 1}
{10, 10, 1, 3, 0, 2, 11, 10, 2, 1}
{10, 10, 1, 3, 0, 2, 11, 2, 10, 1}
{10, 9, 13, 1, 0, 2, 8, 3, 3, 1}
{10, 9, 3, 3, 0, 8, 2, 13, 1, 1}
{10, 9, 3, 3, 0, 8, 2, 1, 13, 1}
{10, 9, 1, 13, 0, 2, 8, 3, 3, 1}
{10, 6, 22, 2, 0, 2, 3, 2, 2, 1}
{10, 6, 20, 2, 0, 3, 2, 4, 2, 1}
{10, 6, 20, 2, 0, 3, 2, 2, 4, 1}
{10, 6, 18, 4, 0, 7, 2, 1, 1, 1}
{10, 6, 16, 1, 0, 8, 2, 3, 3, 1}
{10, 6, 12, 1, 0, 6, 6, 6, 2, 1}
{10, 6, 12, 1, 0, 6, 6, 2, 6, 1}
{10, 6, 6, 2, 0, 6, 6, 12, 1, 1}
{10, 6, 6, 2, 0, 6, 6, 1, 12, 1}
{10, 6, 6, 1, 0, 13, 6, 5, 2, 1}
{10, 6, 6, 1, 0, 13, 6, 2, 5, 1}
{10, 6, 5, 5, 0, 15, 2, 5, 1, 1}
{10, 6, 5, 5, 0, 15, 2, 1, 5, 1}
{10, 6, 5, 2, 0, 6, 13, 6, 1, 1}
{10, 6, 5, 2, 0, 6, 13, 1, 6, 1}
{10, 6, 5, 1, 0, 2, 15, 5, 5, 1}
{10, 6, 4, 18, 0, 7, 2, 1, 1, 1}
{10, 6, 4, 2, 0, 18, 3, 4, 2, 1}
{10, 6, 4, 2, 0, 18, 3, 2, 4, 1}
{10, 6, 4, 2, 0, 3, 18, 4, 2, 1}
{10, 6, 4, 2, 0, 3, 18, 2, 4, 1}
{10, 6, 4, 2, 0, 2, 3, 20, 2, 1}
{10, 6, 4, 2, 0, 2, 3, 2, 20, 1}
{10, 6, 3, 3, 0, 2, 23, 1, 1, 1}
{10, 6, 3, 3, 0, 2, 8, 16, 1, 1}
{10, 6, 3, 3, 0, 2, 8, 1, 16, 1}
{10, 6, 2, 22, 0, 2, 3, 2, 2, 1}
{10, 6, 2, 20, 0, 3, 2, 4, 2, 1}
{10, 6, 2, 20, 0, 3, 2, 2, 4, 1}
{10, 6, 2, 6, 0, 6, 6, 12, 1, 1}
{10, 6, 2, 6, 0, 6, 6, 1, 12, 1}
{10, 6, 2, 5, 0, 6, 13, 6, 1, 1}
{10, 6, 2, 5, 0, 6, 13, 1, 6, 1}
{10, 6, 2, 4, 0, 18, 3, 4, 2, 1}
{10, 6, 2, 4, 0, 18, 3, 2, 4, 1}
{10, 6, 2, 4, 0, 3, 18, 4, 2, 1}
{10, 6, 2, 4, 0, 3, 18, 2, 4, 1}
{10, 6, 2, 4, 0, 2, 3, 20, 2, 1}
{10, 6, 2, 4, 0, 2, 3, 2, 20, 1}
{10, 6, 2, 2, 0, 3, 2, 22, 2, 1}
{10, 6, 2, 2, 0, 3, 2, 2, 22, 1}
{10, 6, 1, 16, 0, 8, 2, 3, 3, 1}
{10, 6, 1, 12, 0, 6, 6, 6, 2, 1}
{10, 6, 1, 12, 0, 6, 6, 2, 6, 1}
{10, 6, 1, 6, 0, 13, 6, 5, 2, 1}
{10, 6, 1, 6, 0, 13, 6, 2, 5, 1}
{10, 6, 1, 5, 0, 2, 15, 5, 5, 1}
{10, 6, 1, 1, 0, 23, 2, 3, 3, 1}
{10, 6, 1, 1, 0, 2, 7, 18, 4, 1}
{10, 6, 1, 1, 0, 2, 7, 4, 18, 1}
{10, 5, 19, 1, 0, 2, 1, 9, 2, 1}
{10, 5, 19, 1, 0, 2, 1, 2, 9, 1}
{10, 5, 18, 2, 0, 3, 5, 3, 3, 1}
{10, 5, 18, 2, 0, 1, 9, 2, 2, 1}
{10, 5, 18, 2, 0, 1, 7, 3, 3, 1}
{10, 5, 18, 2, 0, 1, 5, 4, 4, 1}
{10, 5, 18, 2, 0, 1, 3, 5, 5, 1}
{10, 5, 18, 2, 0, 1, 1, 6, 6, 1}
{10, 5, 16, 2, 0, 2, 8, 4, 2, 1}
{10, 5, 16, 2, 0, 2, 8, 2, 4, 1}
{10, 5, 15, 1, 0, 1, 4, 12, 1, 1}
{10, 5, 15, 1, 0, 1, 4, 1, 12, 1}
{10, 5, 14, 2, 0, 3, 7, 6, 2, 1}
{10, 5, 14, 2, 0, 3, 7, 2, 6, 1}
{10, 5, 12, 4, 0, 12, 2, 2, 2, 1}
{10, 5, 12, 2, 0, 7, 7, 3, 3, 1}
{10, 5, 12, 2, 0, 4, 6, 8, 2, 1}
{10, 5, 12, 2, 0, 4, 6, 2, 8, 1}
{10, 5, 12, 2, 0, 3, 11, 3, 3, 1}
{10, 5, 12, 1, 0, 4, 1, 15, 1, 1}
{10, 5, 12, 1, 0, 4, 1, 1, 15, 1}
{10, 5, 10, 5, 0, 5, 5, 5, 4, 1}
{10, 5, 10, 5, 0, 5, 5, 4, 5, 1}
{10, 5, 10, 2, 0, 5, 5, 10, 2, 1}
{10, 5, 10, 2, 0, 5, 5, 2, 10, 1}
{10, 5, 9, 2, 0, 1, 2, 19, 1, 1}
{10, 5, 9, 2, 0, 1, 2, 1, 19, 1}
{10, 5, 8, 2, 0, 6, 4, 12, 2, 1}
{10, 5, 8, 2, 0, 6, 4, 2, 12, 1}
{10, 5, 7, 3, 0, 6, 8, 5, 5, 1}
{10, 5, 6, 6, 0, 9, 5, 4, 4, 1}
{10, 5, 6, 6, 0, 1, 1, 18, 2, 1}
{10, 5, 6, 6, 0, 1, 1, 2, 18, 1}
{10, 5, 6, 2, 0, 7, 3, 14, 2, 1}
{10, 5, 6, 2, 0, 7, 3, 2, 14, 1}
{10, 5, 5, 10, 0, 5, 5, 5, 4, 1}
{10, 5, 5, 10, 0, 5, 5, 4, 5, 1}
{10, 5, 5, 5, 0, 8, 6, 7, 3, 1}
{10, 5, 5, 5, 0, 8, 6, 3, 7, 1}
{10, 5, 5, 5, 0, 3, 1, 18, 2, 1}
{10, 5, 5, 5, 0, 3, 1, 2, 18, 1}
{10, 5, 5, 4, 0, 5, 5, 10, 5, 1}
{10, 5, 5, 4, 0, 5, 5, 5, 10, 1}
{10, 5, 4, 12, 0, 12, 2, 2, 2, 1}
{10, 5, 4, 5, 0, 5, 5, 10, 5, 1}
{10, 5, 4, 5, 0, 5, 5, 5, 10, 1}
{10, 5, 4, 4, 0, 5, 9, 6, 6, 1}
{10, 5, 4, 4, 0, 5, 1, 18, 2, 1}
{10, 5, 4, 4, 0, 5, 1, 2, 18, 1}
{10, 5, 4, 2, 0, 8, 2, 16, 2, 1}
{10, 5, 4, 2, 0, 8, 2, 2, 16, 1}
{10, 5, 3, 7, 0, 6, 8, 5, 5, 1}
{10, 5, 3, 3, 0, 11, 3, 12, 2, 1}
{10, 5, 3, 3, 0, 11, 3, 2, 12, 1}
{10, 5, 3, 3, 0, 7, 7, 12, 2, 1}
{10, 5, 3, 3, 0, 7, 7, 2, 12, 1}
{10, 5, 3, 3, 0, 7, 1, 18, 2, 1}
{10, 5, 3, 3, 0, 7, 1, 2, 18, 1}
{10, 5, 3, 3, 0, 5, 3, 18, 2, 1}
{10, 5, 3, 3, 0, 5, 3, 2, 18, 1}
{10, 5, 2, 18, 0, 3, 5, 3, 3, 1}
{10, 5, 2, 18, 0, 1, 9, 2, 2, 1}
{10, 5, 2, 18, 0, 1, 7, 3, 3, 1}
{10, 5, 2, 18, 0, 1, 5, 4, 4, 1}
{10, 5, 2, 18, 0, 1, 3, 5, 5, 1}
{10, 5, 2, 18, 0, 1, 1, 6, 6, 1}
{10, 5, 2, 16, 0, 2, 8, 4, 2, 1}
{10, 5, 2, 16, 0, 2, 8, 2, 4, 1}
{10, 5, 2, 14, 0, 3, 7, 6, 2, 1}
{10, 5, 2, 14, 0, 3, 7, 2, 6, 1}
{10, 5, 2, 12, 0, 7, 7, 3, 3, 1}
{10, 5, 2, 12, 0, 4, 6, 8, 2, 1}
{10, 5, 2, 12, 0, 4, 6, 2, 8, 1}
{10, 5, 2, 12, 0, 3, 11, 3, 3, 1}
{10, 5, 2, 10, 0, 5, 5, 10, 2, 1}
{10, 5, 2, 10, 0, 5, 5, 2, 10, 1}
{10, 5, 2, 9, 0, 1, 2, 19, 1, 1}
{10, 5, 2, 9, 0, 1, 2, 1, 19, 1}
{10, 5, 2, 8, 0, 6, 4, 12, 2, 1}
{10, 5, 2, 8, 0, 6, 4, 2, 12, 1}
{10, 5, 2, 6, 0, 7, 3, 14, 2, 1}
{10, 5, 2, 6, 0, 7, 3, 2, 14, 1}
{10, 5, 2, 4, 0, 8, 2, 16, 2, 1}
{10, 5, 2, 4, 0, 8, 2, 2, 16, 1}
{10, 5, 2, 2, 0, 9, 1, 18, 2, 1}
{10, 5, 2, 2, 0, 9, 1, 2, 18, 1}
{10, 5, 2, 2, 0, 2, 12, 12, 4, 1}
{10, 5, 2, 2, 0, 2, 12, 4, 12, 1}
{10, 5, 1, 19, 0, 2, 1, 9, 2, 1}
{10, 5, 1, 19, 0, 2, 1, 2, 9, 1}
{10, 5, 1, 15, 0, 1, 4, 12, 1, 1}
{10, 5, 1, 15, 0, 1, 4, 1, 12, 1}
{10, 5, 1, 12, 0, 4, 1, 15, 1, 1}
{10, 5, 1, 12, 0, 4, 1, 1, 15, 1}
{10, 4, 21, 6, 0, 3, 3, 1, 1, 1}
{10, 4, 17, 5, 0, 1, 5, 5, 2, 1}
{10, 4, 17, 5, 0, 1, 5, 2, 5, 1}
{10, 4, 16, 6, 0, 8, 2, 2, 1, 1}
{10, 4, 16, 6, 0, 8, 2, 1, 2, 1}
{10, 4, 15, 3, 0, 1, 12, 3, 1, 1}
{10, 4, 15, 3, 0, 1, 12, 1, 3, 1}
{10, 4, 15, 3, 0, 1, 7, 6, 3, 1}
{10, 4, 15, 3, 0, 1, 7, 3, 6, 1}
{10, 4, 14, 2, 0, 8, 1, 5, 5, 1}
{10, 4, 14, 2, 0, 4, 1, 7, 7, 1}
{10, 4, 12, 8, 0, 4, 2, 6, 3, 1}
{10, 4, 12, 8, 0, 4, 2, 3, 6, 1}
{10, 4, 12, 3, 0, 3, 7, 5, 5, 1}
{10, 4, 11, 11, 0, 1, 7, 4, 1, 1}
{10, 4, 11, 11, 0, 1, 7, 1, 4, 1}
{10, 4, 11, 3, 0, 5, 7, 6, 3, 1}
{10, 4, 11, 3, 0, 5, 7, 3, 6, 1}
{10, 4, 11, 3, 0, 1, 16, 3, 1, 1}
{10, 4, 11, 3, 0, 1, 16, 1, 3, 1}
{10, 4, 11, 3, 0, 1, 11, 6, 3, 1}
{10, 4, 11, 3, 0, 1, 11, 3, 6, 1}
{10, 4, 11, 3, 0, 1, 4, 10, 6, 1}
{10, 4, 11, 3, 0, 1, 4, 6, 10, 1}
{10, 4, 10, 10, 0, 5, 2, 5, 3, 1}
{10, 4, 10, 10, 0, 5, 2, 3, 5, 1}
{10, 4, 10, 6, 0, 4, 1, 11, 3, 1}
{10, 4, 10, 6, 0, 4, 1, 3, 11, 1}
{10, 4, 10, 4, 0, 5, 3, 10, 3, 1}
{10, 4, 10, 4, 0, 5, 3, 3, 10, 1}
{10, 4, 10, 3, 0, 3, 5, 10, 4, 1}
{10, 4, 10, 3, 0, 3, 5, 4, 10, 1}
{10, 4, 10, 1, 0, 7, 1, 8, 8, 1}
{10, 4, 9, 3, 0, 7, 12, 2, 2, 1}
{10, 4, 9, 3, 0, 4, 13, 3, 3, 1}
{10, 4, 8, 12, 0, 4, 2, 6, 3, 1}
{10, 4, 8, 12, 0, 4, 2, 3, 6, 1}
{10, 4, 8, 8, 0, 8, 2, 6, 3, 1}
{10, 4, 8, 8, 0, 8, 2, 3, 6, 1}
{10, 4, 8, 8, 0, 1, 7, 10, 1, 1}
{10, 4, 8, 8, 0, 1, 7, 1, 10, 1}
{10, 4, 7, 7, 0, 1, 4, 14, 2, 1}
{10, 4, 7, 7, 0, 1, 4, 2, 14, 1}
{10, 4, 6, 21, 0, 3, 3, 1, 1, 1}
{10, 4, 6, 16, 0, 8, 2, 2, 1, 1}
{10, 4, 6, 16, 0, 8, 2, 1, 2, 1}
{10, 4, 6, 10, 0, 4, 1, 11, 3, 1}
{10, 4, 6, 10, 0, 4, 1, 3, 11, 1}
{10, 4, 6, 4, 0, 11, 5, 6, 3, 1}
{10, 4, 6, 4, 0, 11, 5, 3, 6, 1}
{10, 4, 6, 3, 0, 11, 1, 11, 3, 1}
{10, 4, 6, 3, 0, 11, 1, 3, 11, 1}
{10, 4, 6, 3, 0, 7, 5, 11, 3, 1}
{10, 4, 6, 3, 0, 7, 5, 3, 11, 1}
{10, 4, 6, 3, 0, 7, 1, 15, 3, 1}
{10, 4, 6, 3, 0, 7, 1, 3, 15, 1}
{10, 4, 6, 3, 0, 5, 11, 6, 4, 1}
{10, 4, 6, 3, 0, 5, 11, 4, 6, 1}
{10, 4, 6, 3, 0, 2, 8, 8, 8, 1}
{10, 4, 6, 3, 0, 2, 4, 12, 8, 1}
{10, 4, 6, 3, 0, 2, 4, 8, 12, 1}
{10, 4, 5, 17, 0, 1, 5, 5, 2, 1}
{10, 4, 5, 17, 0, 1, 5, 2, 5, 1}
{10, 4, 5, 5, 0, 13, 4, 4, 4, 1}
{10, 4, 5, 5, 0, 7, 3, 12, 3, 1}
{10, 4, 5, 5, 0, 7, 3, 3, 12, 1}
{10, 4, 5, 5, 0, 1, 8, 14, 2, 1}
{10, 4, 5, 5, 0, 1, 8, 2, 14, 1}
{10, 4, 5, 4, 0, 6, 12, 4, 4, 1}
{10, 4, 5, 3, 0, 2, 5, 10, 10, 1}
{10, 4, 5, 2, 0, 5, 1, 17, 5, 1}
{10, 4, 5, 2, 0, 5, 1, 5, 17, 1}
{10, 4, 4, 10, 0, 5, 3, 10, 3, 1}
{10, 4, 4, 10, 0, 5, 3, 3, 10, 1}
{10, 4, 4, 6, 0, 11, 5, 6, 3, 1}
{10, 4, 4, 6, 0, 11, 5, 3, 6, 1}
{10, 4, 4, 5, 0, 6, 12, 4, 4, 1}
{10, 4, 4, 4, 0, 12, 6, 5, 4, 1}
{10, 4, 4, 4, 0, 12, 6, 4, 5, 1}
{10, 4, 4, 4, 0, 4, 13, 5, 5, 1}
{10, 4, 4, 1, 0, 7, 1, 11, 11, 1}
{10, 4, 3, 15, 0, 1, 12, 3, 1, 1}
{10, 4, 3, 15, 0, 1, 12, 1, 3, 1}
{10, 4, 3, 15, 0, 1, 7, 6, 3, 1}
{10, 4, 3, 15, 0, 1, 7, 3, 6, 1}
{10, 4, 3, 12, 0, 3, 7, 5, 5, 1}
{10, 4, 3, 11, 0, 5, 7, 6, 3, 1}
{10, 4, 3, 11, 0, 5, 7, 3, 6, 1}
{10, 4, 3, 11, 0, 1, 16, 3, 1, 1}
{10, 4, 3, 11, 0, 1, 16, 1, 3, 1}
{10, 4, 3, 11, 0, 1, 11, 6, 3, 1}
{10, 4, 3, 11, 0, 1, 11, 3, 6, 1}
{10, 4, 3, 11, 0, 1, 4, 10, 6, 1}
{10, 4, 3, 11, 0, 1, 4, 6, 10, 1}
{10, 4, 3, 10, 0, 3, 5, 10, 4, 1}
{10, 4, 3, 10, 0, 3, 5, 4, 10, 1}
{10, 4, 3, 9, 0, 7, 12, 2, 2, 1}
{10, 4, 3, 9, 0, 4, 13, 3, 3, 1}
{10, 4, 3, 6, 0, 11, 1, 11, 3, 1}
{10, 4, 3, 6, 0, 11, 1, 3, 11, 1}
{10, 4, 3, 6, 0, 7, 5, 11, 3, 1}
{10, 4, 3, 6, 0, 7, 5, 3, 11, 1}
{10, 4, 3, 6, 0, 7, 1, 15, 3, 1}
{10, 4, 3, 6, 0, 7, 1, 3, 15, 1}
{10, 4, 3, 6, 0, 5, 11, 6, 4, 1}
{10, 4, 3, 6, 0, 5, 11, 4, 6, 1}
{10, 4, 3, 6, 0, 2, 8, 8, 8, 1}
{10, 4, 3, 6, 0, 2, 4, 12, 8, 1}
{10, 4, 3, 6, 0, 2, 4, 8, 12, 1}
{10, 4, 3, 5, 0, 2, 5, 10, 10, 1}
{10, 4, 3, 3, 0, 13, 4, 9, 3, 1}
{10, 4, 3, 3, 0, 13, 4, 3, 9, 1}
{10, 4, 3, 1, 0, 16, 1, 11, 3, 1}
{10, 4, 3, 1, 0, 16, 1, 3, 11, 1}
{10, 4, 3, 1, 0, 12, 1, 15, 3, 1}
{10, 4, 3, 1, 0, 12, 1, 3, 15, 1}
{10, 4, 2, 14, 0, 8, 1, 5, 5, 1}
{10, 4, 2, 14, 0, 4, 1, 7, 7, 1}
{10, 4, 2, 5, 0, 5, 1, 17, 5, 1}
{10, 4, 2, 5, 0, 5, 1, 5, 17, 1}
{10, 4, 2, 2, 0, 12, 7, 9, 3, 1}
{10, 4, 2, 2, 0, 12, 7, 3, 9, 1}
{10, 4, 2, 1, 0, 2, 8, 16, 6, 1}
{10, 4, 2, 1, 0, 2, 8, 6, 16, 1}
{10, 4, 1, 10, 0, 7, 1, 8, 8, 1}
{10, 4, 1, 4, 0, 7, 1, 11, 11, 1}
{10, 4, 1, 3, 0, 16, 1, 11, 3, 1}
{10, 4, 1, 3, 0, 16, 1, 3, 11, 1}
{10, 4, 1, 3, 0, 12, 1, 15, 3, 1}
{10, 4, 1, 3, 0, 12, 1, 3, 15, 1}
{10, 4, 1, 2, 0, 2, 8, 16, 6, 1}
{10, 4, 1, 2, 0, 2, 8, 6, 16, 1}
{10, 4, 1, 1, 0, 3, 3, 21, 6, 1}
{10, 4, 1, 1, 0, 3, 3, 6, 21, 1}
{10, 3, 11, 7, 0, 5, 3, 8, 2, 1}
{10, 3, 11, 7, 0, 5, 3, 2, 8, 1}
{10, 3, 11, 5, 0, 3, 5, 7, 5, 1}
{10, 3, 11, 5, 0, 3, 5, 5, 7, 1}
{10, 3, 11, 2, 0, 6, 3, 7, 7, 1}
{10, 3, 8, 2, 0, 3, 5, 11, 7, 1}
{10, 3, 8, 2, 0, 3, 5, 7, 11, 1}
{10, 3, 7, 11, 0, 5, 3, 8, 2, 1}
{10, 3, 7, 11, 0, 5, 3, 2, 8, 1}
{10, 3, 7, 7, 0, 3, 6, 11, 2, 1}
{10, 3, 7, 7, 0, 3, 6, 2, 11, 1}
{10, 3, 7, 7, 0, 2, 12, 6, 2, 1}
{10, 3, 7, 7, 0, 2, 12, 2, 6, 1}
{10, 3, 7, 5, 0, 5, 3, 11, 5, 1}
{10, 3, 7, 5, 0, 5, 3, 5, 11, 1}
{10, 3, 6, 2, 0, 12, 2, 7, 7, 1}
{10, 3, 5, 11, 0, 3, 5, 7, 5, 1}
{10, 3, 5, 11, 0, 3, 5, 5, 7, 1}
{10, 3, 5, 7, 0, 5, 3, 11, 5, 1}
{10, 3, 5, 7, 0, 5, 3, 5, 11, 1}
{10, 3, 2, 11, 0, 6, 3, 7, 7, 1}
{10, 3, 2, 8, 0, 3, 5, 11, 7, 1}
{10, 3, 2, 8, 0, 3, 5, 7, 11, 1}
{10, 3, 2, 6, 0, 12, 2, 7, 7, 1}
{10, 2, 11, 3, 0, 3, 6, 7, 7, 1}
{10, 2, 10, 10, 0, 5, 6, 5, 1, 1}
{10, 2, 10, 10, 0, 5, 6, 1, 5, 1}
{10, 2, 9, 9, 0, 5, 3, 8, 3, 1}
{10, 2, 9, 9, 0, 5, 3, 3, 8, 1}
{10, 2, 9, 9, 0, 3, 8, 6, 2, 1}
{10, 2, 9, 9, 0, 3, 8, 2, 6, 1}
{10, 2, 8, 3, 0, 3, 5, 9, 9, 1}
{10, 2, 7, 7, 0, 14, 3, 3, 3, 1}
{10, 2, 7, 7, 0, 6, 3, 11, 3, 1}
{10, 2, 7, 7, 0, 6, 3, 3, 11, 1}
{10, 2, 6, 6, 0, 9, 8, 6, 2, 1}
{10, 2, 6, 6, 0, 9, 8, 2, 6, 1}
{10, 2, 6, 6, 0, 3, 14, 4, 4, 1}
{10, 2, 6, 2, 0, 8, 9, 6, 6, 1}
{10, 2, 6, 2, 0, 8, 3, 9, 9, 1}
{10, 2, 5, 1, 0, 6, 5, 10, 10, 1}
{10, 2, 4, 4, 0, 14, 3, 6, 6, 1}
{10, 2, 3, 11, 0, 3, 6, 7, 7, 1}
{10, 2, 3, 8, 0, 3, 5, 9, 9, 1}
{10, 2, 3, 3, 0, 3, 14, 7, 7, 1}
{10, 2, 2, 6, 0, 8, 9, 6, 6, 1}
{10, 2, 2, 6, 0, 8, 3, 9, 9, 1}
{10, 2, 1, 5, 0, 6, 5, 10, 10, 1}
{10, 1, 15, 4, 0, 5, 5, 6, 3, 1}
{10, 1, 15, 4, 0, 5, 5, 3, 6, 1}
{10, 1, 6, 3, 0, 5, 5, 15, 4, 1}
{10, 1, 6, 3, 0, 5, 5, 4, 15, 1}
{10, 1, 4, 15, 0, 5, 5, 6, 3, 1}
{10, 1, 4, 15, 0, 5, 5, 3, 6, 1}
{10, 1, 3, 6, 0, 5, 5, 15, 4, 1}
{10, 1, 3, 6, 0, 5, 5, 4, 15, 1}
{9, 10, 13, 1, 0, 2, 8, 3, 3, 1}
{9, 10, 3, 3, 0, 8, 2, 13, 1, 1}
{9, 10, 3, 3, 0, 8, 2, 1, 13, 1}
{9, 10, 1, 13, 0, 2, 8, 3, 3, 1}
{9, 7, 9, 1, 0, 14, 3, 4, 2, 1}
{9, 7, 9, 1, 0, 14, 3, 2, 4, 1}
{9, 7, 4, 2, 0, 3, 14, 9, 1, 1}
{9, 7, 4, 2, 0, 3, 14, 1, 9, 1}
{9, 7, 2, 4, 0, 3, 14, 9, 1, 1}
{9, 7, 2, 4, 0, 3, 14, 1, 9, 1}
{9, 7, 1, 9, 0, 14, 3, 4, 2, 1}
{9, 7, 1, 9, 0, 14, 3, 2, 4, 1}
{9, 6, 20, 4, 0, 2, 2, 4, 2, 1}
{9, 6, 20, 4, 0, 2, 2, 2, 4, 1}
{9, 6, 17, 7, 0, 5, 2, 2, 1, 1}
{9, 6, 17, 7, 0, 5, 2, 1, 2, 1}
{9, 6, 17, 1, 0, 3, 4, 6, 3, 1}
{9, 6, 17, 1, 0, 3, 4, 3, 6, 1}
{9, 6, 15, 3, 0, 2, 3, 10, 1, 1}
{9, 6, 15, 3, 0, 2, 3, 1, 10, 1}
{9, 6, 14, 10, 0, 3, 2, 3, 2, 1}
{9, 6, 14, 10, 0, 3, 2, 2, 3, 1}
{9, 6, 14, 2, 0, 6, 1, 9, 2, 1}
{9, 6, 14, 2, 0, 6, 1, 2, 9, 1}
{9, 6, 14, 2, 0, 1, 1, 14, 2, 1}
{9, 6, 14, 2, 0, 1, 1, 2, 14, 1}
{9, 6, 11, 1, 0, 2, 8, 7, 5, 1}
{9, 6, 11, 1, 0, 2, 8, 5, 7, 1}
{9, 6, 10, 14, 0, 3, 2, 3, 2, 1}
{9, 6, 10, 14, 0, 3, 2, 2, 3, 1}
{9, 6, 10, 1, 0, 3, 2, 15, 3, 1}
{9, 6, 10, 1, 0, 3, 2, 3, 15, 1}
{9, 6, 9, 5, 0, 7, 5, 4, 4, 1}
{9, 6, 9, 2, 0, 1, 6, 14, 2, 1}
{9, 6, 9, 2, 0, 1, 6, 2, 14, 1}
{9, 6, 7, 17, 0, 5, 2, 2, 1, 1}
{9, 6, 7, 17, 0, 5, 2, 1, 2, 1}
{9, 6, 7, 5, 0, 8, 2, 11, 1, 1}
{9, 6, 7, 5, 0, 8, 2, 1, 11, 1}
{9, 6, 7, 2, 0, 15, 2, 6, 2, 1}
{9, 6, 7, 2, 0, 15, 2, 2, 6, 1}
{9, 6, 7, 2, 0, 5, 17, 2, 1, 1}
{9, 6, 7, 2, 0, 5, 17, 1, 2, 1}
{9, 6, 6, 3, 0, 19, 3, 2, 1, 1}
{9, 6, 6, 3, 0, 19, 3, 1, 2, 1}
{9, 6, 6, 3, 0, 4, 3, 17, 1, 1}
{9, 6, 6, 3, 0, 4, 3, 1, 17, 1}
{9, 6, 6, 2, 0, 7, 15, 2, 2, 1}
{9, 6, 6, 2, 0, 2, 15, 7, 2, 1}
{9, 6, 6, 2, 0, 2, 15, 2, 7, 1}
{9, 6, 5, 9, 0, 7, 5, 4, 4, 1}
{9, 6, 5, 7, 0, 8, 2, 11, 1, 1}
{9, 6, 5, 7, 0, 8, 2, 1, 11, 1}
{9, 6, 5, 2, 0, 9, 13, 3, 2, 1}
{9, 6, 5, 2, 0, 9, 13, 2, 3, 1}
{9, 6, 4, 20, 0, 2, 2, 4, 2, 1}
{9, 6, 4, 20, 0, 2, 2, 2, 4, 1}
{9, 6, 4, 4, 0, 5, 7, 9, 5, 1}
{9, 6, 4, 4, 0, 5, 7, 5, 9, 1}
{9, 6, 4, 2, 0, 11, 11, 4, 2, 1}
{9, 6, 4, 2, 0, 11, 11, 2, 4, 1}
{9, 6, 4, 2, 0, 2, 2, 20, 4, 1}
{9, 6, 4, 2, 0, 2, 2, 4, 20, 1}
{9, 6, 3, 15, 0, 2, 3, 10, 1, 1}
{9, 6, 3, 15, 0, 2, 3, 1, 10, 1}
{9, 6, 3, 6, 0, 19, 3, 2, 1, 1}
{9, 6, 3, 6, 0, 19, 3, 1, 2, 1}
{9, 6, 3, 6, 0, 4, 3, 17, 1, 1}
{9, 6, 3, 6, 0, 4, 3, 1, 17, 1}
{9, 6, 3, 3, 0, 11, 13, 2, 2, 1}
{9, 6, 3, 3, 0, 5, 19, 2, 2, 1}
{9, 6, 3, 2, 0, 13, 9, 5, 2, 1}
{9, 6, 3, 2, 0, 13, 9, 2, 5, 1}
{9, 6, 3, 2, 0, 2, 3, 14, 10, 1}
{9, 6, 3, 2, 0, 2, 3, 10, 14, 1}
{9, 6, 2, 14, 0, 6, 1, 9, 2, 1}
{9, 6, 2, 14, 0, 6, 1, 2, 9, 1}
{9, 6, 2, 14, 0, 1, 1, 14, 2, 1}
{9, 6, 2, 14, 0, 1, 1, 2, 14, 1}
{9, 6, 2, 9, 0, 1, 6, 14, 2, 1}
{9, 6, 2, 9, 0, 1, 6, 2, 14, 1}
{9, 6, 2, 7, 0, 15, 2, 6, 2, 1}
{9, 6, 2, 7, 0, 15, 2, 2, 6, 1}
{9, 6, 2, 7, 0, 5, 17, 2, 1, 1}
{9, 6, 2, 7, 0, 5, 17, 1, 2, 1}
{9, 6, 2, 6, 0, 7, 15, 2, 2, 1}
{9, 6, 2, 6, 0, 2, 15, 7, 2, 1}
{9, 6, 2, 6, 0, 2, 15, 2, 7, 1}
{9, 6, 2, 5, 0, 9, 13, 3, 2, 1}
{9, 6, 2, 5, 0, 9, 13, 2, 3, 1}
{9, 6, 2, 4, 0, 11, 11, 4, 2, 1}
{9, 6, 2, 4, 0, 11, 11, 2, 4, 1}
{9, 6, 2, 4, 0, 2, 2, 20, 4, 1}
{9, 6, 2, 4, 0, 2, 2, 4, 20, 1}
{9, 6, 2, 3, 0, 13, 9, 5, 2, 1}
{9, 6, 2, 3, 0, 13, 9, 2, 5, 1}
{9, 6, 2, 3, 0, 2, 3, 14, 10, 1}
{9, 6, 2, 3, 0, 2, 3, 10, 14, 1}
{9, 6, 2, 2, 0, 19, 5, 3, 3, 1}
{9, 6, 2, 2, 0, 15, 7, 6, 2, 1}
{9, 6, 2, 2, 0, 15, 7, 2, 6, 1}
{9, 6, 2, 2, 0, 13, 11, 3, 3, 1}
{9, 6, 2, 1, 0, 17, 5, 7, 2, 1}
{9, 6, 2, 1, 0, 17, 5, 2, 7, 1}
{9, 6, 2, 1, 0, 3, 19, 6, 3, 1}
{9, 6, 2, 1, 0, 3, 19, 3, 6, 1}
{9, 6, 2, 1, 0, 2, 5, 17, 7, 1}
{9, 6, 2, 1, 0, 2, 5, 7, 17, 1}
{9, 6, 1, 17, 0, 3, 4, 6, 3, 1}
{9, 6, 1, 17, 0, 3, 4, 3, 6, 1}
{9, 6, 1, 11, 0, 2, 8, 7, 5, 1}
{9, 6, 1, 11, 0, 2, 8, 5, 7, 1}
{9, 6, 1, 10, 0, 3, 2, 15, 3, 1}
{9, 6, 1, 10, 0, 3, 2, 3, 15, 1}
{9, 6, 1, 2, 0, 17, 5, 7, 2, 1}
{9, 6, 1, 2, 0, 17, 5, 2, 7, 1}
{9, 6, 1, 2, 0, 3, 19, 6, 3, 1}
{9, 6, 1, 2, 0, 3, 19, 3, 6, 1}
{9, 6, 1, 2, 0, 2, 5, 17, 7, 1}
{9, 6, 1, 2, 0, 2, 5, 7, 17, 1}
{9, 5, 10, 4, 0, 9, 2, 8, 2, 1}
{9, 5, 10, 4, 0, 9, 2, 2, 8, 1}
{9, 5, 8, 5, 0, 16, 2, 3, 1, 1}
{9, 5, 8, 5, 0, 16, 2, 1, 3, 1}
{9, 5, 8, 2, 0, 2, 9, 10, 4, 1}
{9, 5, 8, 2, 0, 2, 9, 4, 10, 1}
{9, 5, 5, 8, 0, 16, 2, 3, 1, 1}
{9, 5, 5, 8, 0, 16, 2, 1, 3, 1}
{9, 5, 4, 10, 0, 9, 2, 8, 2, 1}
{9, 5, 4, 10, 0, 9, 2, 2, 8, 1}
{9, 5, 3, 1, 0, 2, 16, 8, 5, 1}
{9, 5, 3, 1, 0, 2, 16, 5, 8, 1}
{9, 5, 2, 8, 0, 2, 9, 10, 4, 1}
{9, 5, 2, 8, 0, 2, 9, 4, 10, 1}
{9, 5, 1, 3, 0, 2, 16, 8, 5, 1}
{9, 5, 1, 3, 0, 2, 16, 5, 8, 1}
{9, 4, 21, 3, 0, 5, 5, 1, 1, 1}
{9, 4, 18, 4, 0, 5, 3, 4, 2, 1}
{9, 4, 18, 4, 0, 5, 3, 2, 4, 1}
{9, 4, 16, 4, 0, 3, 3, 5, 5, 1}
{9, 4, 15, 3, 0, 3, 1, 9, 5, 1}
{9, 4, 15, 3, 0, 3, 1, 5, 9, 1}
{9, 4, 13, 4, 0, 2, 4, 10, 3, 1}
{9, 4, 13, 4, 0, 2, 4, 3, 10, 1}
{9, 4, 12, 8, 0, 3, 3, 9, 1, 1}
{9, 4, 12, 8, 0, 3, 3, 1, 9, 1}
{9, 4, 12, 6, 0, 7, 1, 5, 5, 1}
{9, 4, 12, 4, 0, 5, 3, 8, 4, 1}
{9, 4, 12, 4, 0, 5, 3, 4, 8, 1}
{9, 4, 11, 11, 0, 1, 5, 6, 2, 1}
{9, 4, 11, 11, 0, 1, 5, 2, 6, 1}
{9, 4, 10, 3, 0, 4, 2, 13, 4, 1}
{9, 4, 10, 3, 0, 4, 2, 4, 13, 1}
{9, 4, 9, 5, 0, 1, 3, 15, 3, 1}
{9, 4, 9, 5, 0, 1, 3, 3, 15, 1}
{9, 4, 9, 1, 0, 3, 3, 12, 8, 1}
{9, 4, 9, 1, 0, 3, 3, 8, 12, 1}
{9, 4, 8, 12, 0, 3, 3, 9, 1, 1}
{9, 4, 8, 12, 0, 3, 3, 1, 9, 1}
{9, 4, 8, 4, 0, 3, 5, 12, 4, 1}
{9, 4, 8, 4, 0, 3, 5, 4, 12, 1}
{9, 4, 6, 12, 0, 7, 1, 5, 5, 1}
{9, 4, 6, 6, 0, 9, 3, 6, 6, 1}
{9, 4, 6, 6, 0, 3, 9, 6, 6, 1}
{9, 4, 6, 2, 0, 17, 1, 5, 5, 1}
{9, 4, 6, 2, 0, 5, 13, 5, 5, 1}
{9, 4, 6, 2, 0, 5, 1, 11, 11, 1}
{9, 4, 5, 9, 0, 1, 3, 15, 3, 1}
{9, 4, 5, 9, 0, 1, 3, 3, 15, 1}
{9, 4, 5, 5, 0, 13, 5, 6, 2, 1}
{9, 4, 5, 5, 0, 13, 5, 2, 6, 1}
{9, 4, 5, 5, 0, 3, 3, 16, 4, 1}
{9, 4, 5, 5, 0, 3, 3, 4, 16, 1}
{9, 4, 5, 5, 0, 1, 17, 6, 2, 1}
{9, 4, 5, 5, 0, 1, 17, 2, 6, 1}
{9, 4, 5, 5, 0, 1, 7, 12, 6, 1}
{9, 4, 5, 5, 0, 1, 7, 6, 12, 1}
{9, 4, 4, 18, 0, 5, 3, 4, 2, 1}
{9, 4, 4, 18, 0, 5, 3, 2, 4, 1}
{9, 4, 4, 16, 0, 3, 3, 5, 5, 1}
{9, 4, 4, 13, 0, 2, 4, 10, 3, 1}
{9, 4, 4, 13, 0, 2, 4, 3, 10, 1}
{9, 4, 4, 12, 0, 5, 3, 8, 4, 1}
{9, 4, 4, 12, 0, 5, 3, 4, 8, 1}
{9, 4, 4, 8, 0, 3, 5, 12, 4, 1}
{9, 4, 4, 8, 0, 3, 5, 4, 12, 1}
{9, 4, 4, 2, 0, 3, 5, 18, 4, 1}
{9, 4, 4, 2, 0, 3, 5, 4, 18, 1}
{9, 4, 3, 21, 0, 5, 5, 1, 1, 1}
{9, 4, 3, 15, 0, 3, 1, 9, 5, 1}
{9, 4, 3, 15, 0, 3, 1, 5, 9, 1}
{9, 4, 3, 10, 0, 4, 2, 13, 4, 1}
{9, 4, 3, 10, 0, 4, 2, 4, 13, 1}
{9, 4, 2, 6, 0, 17, 1, 5, 5, 1}
{9, 4, 2, 6, 0, 5, 13, 5, 5, 1}
{9, 4, 2, 6, 0, 5, 1, 11, 11, 1}
{9, 4, 2, 4, 0, 3, 5, 18, 4, 1}
{9, 4, 2, 4, 0, 3, 5, 4, 18, 1}
{9, 4, 1, 9, 0, 3, 3, 12, 8, 1}
{9, 4, 1, 9, 0, 3, 3, 8, 12, 1}
{9, 4, 1, 1, 0, 5, 5, 21, 3, 1}
{9, 4, 1, 1, 0, 5, 5, 3, 21, 1}
{9, 3, 12, 6, 0, 2, 9, 4, 4, 1}
{9, 3, 10, 10, 0, 3, 4, 5, 5, 1}
{9, 3, 7, 7, 0, 2, 15, 3, 3, 1}
{9, 3, 7, 7, 0, 2, 11, 6, 4, 1}
{9, 3, 7, 7, 0, 2, 11, 4, 6, 1}
{9, 3, 6, 12, 0, 2, 9, 4, 4, 1}
{9, 3, 6, 4, 0, 11, 2, 7, 7, 1}
{9, 3, 5, 5, 0, 4, 15, 4, 4, 1}
{9, 3, 5, 5, 0, 4, 3, 10, 10, 1}
{9, 3, 4, 6, 0, 11, 2, 7, 7, 1}
{9, 3, 4, 4, 0, 15, 4, 5, 5, 1}
{9, 3, 4, 4, 0, 9, 2, 12, 6, 1}
{9, 3, 4, 4, 0, 9, 2, 6, 12, 1}
{9, 3, 3, 3, 0, 15, 2, 7, 7, 1}
{9, 2, 13, 9, 0, 3, 5, 4, 4, 1}
{9, 2, 9, 13, 0, 3, 5, 4, 4, 1}
{9, 2, 4, 4, 0, 5, 3, 13, 9, 1}
{9, 2, 4, 4, 0, 5, 3, 9, 13, 1}
{8, 24, 11, 1, 0, 2, 1, 1, 1, 1}
{8, 24, 7, 1, 0, 1, 2, 5, 1, 1}
{8, 24, 7, 1, 0, 1, 2, 1, 5, 1}
{8, 24, 6, 3, 0, 1, 1, 4, 2, 1}
{8, 24, 6, 3, 0, 1, 1, 2, 4, 1}
{8, 24, 6, 1, 0, 3, 5, 1, 1, 1}
{8, 24, 5, 1, 0, 2, 1, 7, 1, 1}
{8, 24, 5, 1, 0, 2, 1, 1, 7, 1}
{8, 24, 4, 4, 0, 4, 2, 2, 1, 1}
{8, 24, 4, 4, 0, 4, 2, 1, 2, 1}
{8, 24, 4, 2, 0, 1, 6, 3, 1, 1}
{8, 24, 4, 2, 0, 1, 6, 1, 3, 1}
{8, 24, 4, 2, 0, 1, 1, 6, 3, 1}
{8, 24, 4, 2, 0, 1, 1, 3, 6, 1}
{8, 24, 3, 6, 0, 1, 1, 4, 2, 1}
{8, 24, 3, 6, 0, 1, 1, 2, 4, 1}
{8, 24, 3, 1, 0, 6, 1, 4, 2, 1}
{8, 24, 3, 1, 0, 6, 1, 2, 4, 1}
{8, 24, 3, 1, 0, 3, 7, 2, 1, 1}
{8, 24, 3, 1, 0, 3, 7, 1, 2, 1}
{8, 24, 2, 4, 0, 1, 6, 3, 1, 1}
{8, 24, 2, 4, 0, 1, 6, 1, 3, 1}
{8, 24, 2, 4, 0, 1, 1, 6, 3, 1}
{8, 24, 2, 4, 0, 1, 1, 3, 6, 1}
{8, 24, 2, 1, 0, 7, 3, 3, 1, 1}
{8, 24, 2, 1, 0, 7, 3, 1, 3, 1}
{8, 24, 2, 1, 0, 2, 4, 4, 4, 1}
{8, 24, 1, 11, 0, 2, 1, 1, 1, 1}
{8, 24, 1, 7, 0, 1, 2, 5, 1, 1}
{8, 24, 1, 7, 0, 1, 2, 1, 5, 1}
{8, 24, 1, 6, 0, 3, 5, 1, 1, 1}
{8, 24, 1, 5, 0, 2, 1, 7, 1, 1}
{8, 24, 1, 5, 0, 2, 1, 1, 7, 1}
{8, 24, 1, 3, 0, 6, 1, 4, 2, 1}
{8, 24, 1, 3, 0, 6, 1, 2, 4, 1}
{8, 24, 1, 3, 0, 3, 7, 2, 1, 1}
{8, 24, 1, 3, 0, 3, 7, 1, 2, 1}
{8, 24, 1, 2, 0, 7, 3, 3, 1, 1}
{8, 24, 1, 2, 0, 7, 3, 1, 3, 1}
{8, 24, 1, 2, 0, 2, 4, 4, 4, 1}
{8, 24, 1, 1, 0, 5, 3, 6, 1, 1}
{8, 24, 1, 1, 0, 5, 3, 1, 6, 1}
{8, 24, 1, 1, 0, 1, 2, 11, 1, 1}
{8, 24, 1, 1, 0, 1, 2, 1, 11, 1}
{8, 22, 7, 1, 0, 2, 3, 5, 1, 1}
{8, 22, 7, 1, 0, 2, 3, 1, 5, 1}
{8, 22, 6, 1, 0, 3, 7, 1, 1, 1}
{8, 22, 5, 1, 0, 3, 2, 7, 1, 1}
{8, 22, 5, 1, 0, 3, 2, 1, 7, 1}
{8, 22, 1, 7, 0, 2, 3, 5, 1, 1}
{8, 22, 1, 7, 0, 2, 3, 1, 5, 1}
{8, 22, 1, 6, 0, 3, 7, 1, 1, 1}
{8, 22, 1, 5, 0, 3, 2, 7, 1, 1}
{8, 22, 1, 5, 0, 3, 2, 1, 7, 1}
{8, 22, 1, 1, 0, 7, 3, 6, 1, 1}
{8, 22, 1, 1, 0, 7, 3, 1, 6, 1}
{8, 20, 9, 1, 0, 1, 2, 7, 1, 1}
{8, 20, 9, 1, 0, 1, 2, 1, 7, 1}
{8, 20, 7, 1, 0, 2, 1, 9, 1, 1}
{8, 20, 7, 1, 0, 2, 1, 1, 9, 1}
{8, 20, 6, 6, 0, 1, 3, 4, 1, 1}
{8, 20, 6, 6, 0, 1, 3, 1, 4, 1}
{8, 20, 6, 1, 0, 7, 5, 1, 1, 1}
{8, 20, 4, 1, 0, 3, 1, 6, 6, 1}
{8, 20, 1, 9, 0, 1, 2, 7, 1, 1}
{8, 20, 1, 9, 0, 1, 2, 1, 7, 1}
{8, 20, 1, 7, 0, 2, 1, 9, 1, 1}
{8, 20, 1, 7, 0, 2, 1, 1, 9, 1}
{8, 20, 1, 6, 0, 7, 5, 1, 1, 1}
{8, 20, 1, 4, 0, 3, 1, 6, 6, 1}
{8, 20, 1, 1, 0, 5, 7, 6, 1, 1}
{8, 20, 1, 1, 0, 5, 7, 1, 6, 1}
{8, 18, 11, 1, 0, 2, 1, 7, 1, 1}
{8, 18, 11, 1, 0, 2, 1, 1, 7, 1}
{8, 18, 7, 1, 0, 1, 2, 11, 1, 1}
{8, 18, 7, 1, 0, 1, 2, 1, 11, 1}
{8, 18, 1, 11, 0, 2, 1, 7, 1, 1}
{8, 18, 1, 11, 0, 2, 1, 1, 7, 1}
{8, 18, 1, 7, 0, 1, 2, 11, 1, 1}
{8, 18, 1, 7, 0, 1, 2, 1, 11, 1}
{8, 15, 9, 1, 0, 9, 1, 4, 2, 1}
{8, 15, 9, 1, 0, 9, 1, 2, 4, 1}
{8, 15, 4, 2, 0, 1, 9, 9, 1, 1}
{8, 15, 4, 2, 0, 1, 9, 1, 9, 1}
{8, 15, 2, 4, 0, 1, 9, 9, 1, 1}
{8, 15, 2, 4, 0, 1, 9, 1, 9, 1}
{8, 15, 1, 9, 0, 9, 1, 4, 2, 1}
{8, 15, 1, 9, 0, 9, 1, 2, 4, 1}
{8, 14, 11, 3, 0, 3, 2, 7, 1, 1}
{8, 14, 11, 3, 0, 3, 2, 1, 7, 1}
{8, 14, 10, 6, 0, 4, 1, 4, 2, 1}
{8, 14, 10, 6, 0, 4, 1, 2, 4, 1}
{8, 14, 7, 1, 0, 2, 3, 11, 3, 1}
{8, 14, 7, 1, 0, 2, 3, 3, 11, 1}
{8, 14, 6, 10, 0, 4, 1, 4, 2, 1}
{8, 14, 6, 10, 0, 4, 1, 2, 4, 1}
{8, 14, 6, 3, 0, 11, 1, 4, 2, 1}
{8, 14, 6, 3, 0, 11, 1, 2, 4, 1}
{8, 14, 4, 2, 0, 1, 16, 3, 1, 1}
{8, 14, 4, 2, 0, 1, 16, 1, 3, 1}
{8, 14, 4, 2, 0, 1, 11, 6, 3, 1}
{8, 14, 4, 2, 0, 1, 11, 3, 6, 1}
{8, 14, 4, 2, 0, 1, 4, 10, 6, 1}
{8, 14, 4, 2, 0, 1, 4, 6, 10, 1}
{8, 14, 3, 11, 0, 3, 2, 7, 1, 1}
{8, 14, 3, 11, 0, 3, 2, 1, 7, 1}
{8, 14, 3, 6, 0, 11, 1, 4, 2, 1}
{8, 14, 3, 6, 0, 11, 1, 2, 4, 1}
{8, 14, 3, 1, 0, 16, 1, 4, 2, 1}
{8, 14, 3, 1, 0, 16, 1, 2, 4, 1}
{8, 14, 2, 4, 0, 1, 16, 3, 1, 1}
{8, 14, 2, 4, 0, 1, 16, 1, 3, 1}
{8, 14, 2, 4, 0, 1, 11, 6, 3, 1}
{8, 14, 2, 4, 0, 1, 11, 3, 6, 1}
{8, 14, 2, 4, 0, 1, 4, 10, 6, 1}
{8, 14, 2, 4, 0, 1, 4, 6, 10, 1}
{8, 14, 1, 7, 0, 2, 3, 11, 3, 1}
{8, 14, 1, 7, 0, 2, 3, 3, 11, 1}
{8, 14, 1, 3, 0, 16, 1, 4, 2, 1}
{8, 14, 1, 3, 0, 16, 1, 2, 4, 1}
{8, 13, 13, 1, 0, 5, 5, 3, 1, 1}
{8, 13, 13, 1, 0, 5, 5, 1, 3, 1}
{8, 13, 3, 1, 0, 5, 5, 13, 1, 1}
{8, 13, 3, 1, 0, 5, 5, 1, 13, 1}
{8, 13, 1, 13, 0, 5, 5, 3, 1, 1}
{8, 13, 1, 13, 0, 5, 5, 1, 3, 1}
{8, 13, 1, 3, 0, 5, 5, 13, 1, 1}
{8, 13, 1, 3, 0, 5, 5, 1, 13, 1}
{8, 12, 13, 1, 0, 2, 5, 6, 2, 1}
{8, 12, 13, 1, 0, 2, 5, 2, 6, 1}
{8, 12, 12, 2, 0, 5, 2, 7, 1, 1}
{8, 12, 12, 2, 0, 5, 2, 1, 7, 1}
{8, 12, 12, 1, 0, 3, 1, 10, 2, 1}
{8, 12, 12, 1, 0, 3, 1, 2, 10, 1}
{8, 12, 10, 2, 0, 1, 3, 12, 1, 1}
{8, 12, 10, 2, 0, 1, 3, 1, 12, 1}
{8, 12, 7, 1, 0, 2, 5, 12, 2, 1}
{8, 12, 7, 1, 0, 2, 5, 2, 12, 1}
{8, 12, 6, 2, 0, 5, 2, 13, 1, 1}
{8, 12, 6, 2, 0, 5, 2, 1, 13, 1}
{8, 12, 2, 12, 0, 5, 2, 7, 1, 1}
{8, 12, 2, 12, 0, 5, 2, 1, 7, 1}
{8, 12, 2, 10, 0, 1, 3, 12, 1, 1}
{8, 12, 2, 10, 0, 1, 3, 1, 12, 1}
{8, 12, 2, 6, 0, 5, 2, 13, 1, 1}
{8, 12, 2, 6, 0, 5, 2, 1, 13, 1}
{8, 12, 1, 13, 0, 2, 5, 6, 2, 1}
{8, 12, 1, 13, 0, 2, 5, 2, 6, 1}
{8, 12, 1, 12, 0, 3, 1, 10, 2, 1}
{8, 12, 1, 12, 0, 3, 1, 2, 10, 1}
{8, 12, 1, 7, 0, 2, 5, 12, 2, 1}
{8, 12, 1, 7, 0, 2, 5, 2, 12, 1}
{8, 11, 9, 1, 0, 13, 3, 2, 2, 1}
{8, 11, 2, 2, 0, 3, 13, 9, 1, 1}
{8, 11, 2, 2, 0, 3, 13, 1, 9, 1}
{8, 11, 1, 9, 0, 13, 3, 2, 2, 1}
{8, 8, 22, 2, 0, 3, 3, 2, 1, 1}
{8, 8, 22, 2, 0, 3, 3, 1, 2, 1}
{8, 8, 18, 6, 0, 5, 2, 1, 1, 1}
{8, 8, 17, 1, 0, 6, 3, 4, 2, 1}
{8, 8, 17, 1, 0, 6, 3, 2, 4, 1}
{8, 8, 17, 1, 0, 3, 3, 7, 2, 1}
{8, 8, 17, 1, 0, 3, 3, 2, 7, 1}
{8, 8, 15, 3, 0, 9, 2, 3, 1, 1}
{8, 8, 15, 3, 0, 9, 2, 1, 3, 1}
{8, 8, 13, 1, 0, 2, 7, 6, 4, 1}
{8, 8, 13, 1, 0, 2, 7, 4, 6, 1}
{8, 8, 12, 8, 0, 4, 2, 6, 1, 1}
{8, 8, 12, 8, 0, 4, 2, 1, 6, 1}
{8, 8, 12, 2, 0, 13, 3, 2, 1, 1}
{8, 8, 12, 2, 0, 13, 3, 1, 2, 1}
{8, 8, 11, 3, 0, 13, 2, 3, 1, 1}
{8, 8, 11, 3, 0, 13, 2, 1, 3, 1}
{8, 8, 11, 3, 0, 9, 2, 7, 1, 1}
{8, 8, 11, 3, 0, 9, 2, 1, 7, 1}
{8, 8, 10, 1, 0, 2, 4, 8, 8, 1}
{8, 8, 8, 12, 0, 4, 2, 6, 1, 1}
{8, 8, 8, 12, 0, 4, 2, 1, 6, 1}
{8, 8, 8, 8, 0, 4, 2, 10, 1, 1}
{8, 8, 8, 8, 0, 4, 2, 1, 10, 1}
{8, 8, 7, 3, 0, 4, 7, 6, 6, 1}
{8, 8, 7, 2, 0, 3, 3, 17, 1, 1}
{8, 8, 7, 2, 0, 3, 3, 1, 17, 1}
{8, 8, 7, 1, 0, 2, 9, 11, 3, 1}
{8, 8, 7, 1, 0, 2, 9, 3, 11, 1}
{8, 8, 6, 18, 0, 5, 2, 1, 1, 1}
{8, 8, 6, 6, 0, 7, 5, 6, 3, 1}
{8, 8, 6, 6, 0, 7, 5, 3, 6, 1}
{8, 8, 6, 6, 0, 7, 4, 7, 3, 1}
{8, 8, 6, 6, 0, 7, 4, 3, 7, 1}
{8, 8, 6, 4, 0, 19, 2, 1, 1, 1}
{8, 8, 6, 4, 0, 7, 2, 13, 1, 1}
{8, 8, 6, 4, 0, 7, 2, 1, 13, 1}
{8, 8, 6, 3, 0, 5, 7, 6, 6, 1}
{8, 8, 6, 1, 0, 2, 4, 12, 8, 1}
{8, 8, 6, 1, 0, 2, 4, 8, 12, 1}
{8, 8, 5, 1, 0, 6, 15, 4, 2, 1}
{8, 8, 5, 1, 0, 6, 15, 2, 4, 1}
{8, 8, 4, 6, 0, 19, 2, 1, 1, 1}
{8, 8, 4, 6, 0, 7, 2, 13, 1, 1}
{8, 8, 4, 6, 0, 7, 2, 1, 13, 1}
{8, 8, 4, 2, 0, 15, 9, 2, 1, 1}
{8, 8, 4, 2, 0, 15, 9, 1, 2, 1}
{8, 8, 4, 2, 0, 15, 6, 5, 1, 1}
{8, 8, 4, 2, 0, 15, 6, 1, 5, 1}
{8, 8, 4, 2, 0, 3, 21, 2, 1, 1}
{8, 8, 4, 2, 0, 3, 21, 1, 2, 1}
{8, 8, 4, 2, 0, 3, 6, 17, 1, 1}
{8, 8, 4, 2, 0, 3, 6, 1, 17, 1}
{8, 8, 3, 15, 0, 9, 2, 3, 1, 1}
{8, 8, 3, 15, 0, 9, 2, 1, 3, 1}
{8, 8, 3, 11, 0, 13, 2, 3, 1, 1}
{8, 8, 3, 11, 0, 13, 2, 1, 3, 1}
{8, 8, 3, 11, 0, 9, 2, 7, 1, 1}
{8, 8, 3, 11, 0, 9, 2, 1, 7, 1}
{8, 8, 3, 7, 0, 4, 7, 6, 6, 1}
{8, 8, 3, 6, 0, 5, 7, 6, 6, 1}
{8, 8, 3, 1, 0, 2, 13, 11, 3, 1}
{8, 8, 3, 1, 0, 2, 13, 3, 11, 1}
{8, 8, 3, 1, 0, 2, 9, 15, 3, 1}
{8, 8, 3, 1, 0, 2, 9, 3, 15, 1}
{8, 8, 2, 22, 0, 3, 3, 2, 1, 1}
{8, 8, 2, 22, 0, 3, 3, 1, 2, 1}
{8, 8, 2, 12, 0, 13, 3, 2, 1, 1}
{8, 8, 2, 12, 0, 13, 3, 1, 2, 1}
{8, 8, 2, 7, 0, 3, 3, 17, 1, 1}
{8, 8, 2, 7, 0, 3, 3, 1, 17, 1}
{8, 8, 2, 4, 0, 15, 9, 2, 1, 1}
{8, 8, 2, 4, 0, 15, 9, 1, 2, 1}
{8, 8, 2, 4, 0, 15, 6, 5, 1, 1}
{8, 8, 2, 4, 0, 15, 6, 1, 5, 1}
{8, 8, 2, 4, 0, 3, 21, 2, 1, 1}
{8, 8, 2, 4, 0, 3, 21, 1, 2, 1}
{8, 8, 2, 4, 0, 3, 6, 17, 1, 1}
{8, 8, 2, 4, 0, 3, 6, 1, 17, 1}
{8, 8, 2, 1, 0, 21, 3, 4, 2, 1}
{8, 8, 2, 1, 0, 21, 3, 2, 4, 1}
{8, 8, 2, 1, 0, 9, 15, 4, 2, 1}
{8, 8, 2, 1, 0, 9, 15, 2, 4, 1}
{8, 8, 2, 1, 0, 3, 13, 12, 2, 1}
{8, 8, 2, 1, 0, 3, 13, 2, 12, 1}
{8, 8, 2, 1, 0, 3, 3, 22, 2, 1}
{8, 8, 2, 1, 0, 3, 3, 2, 22, 1}
{8, 8, 1, 17, 0, 6, 3, 4, 2, 1}
{8, 8, 1, 17, 0, 6, 3, 2, 4, 1}
{8, 8, 1, 17, 0, 3, 3, 7, 2, 1}
{8, 8, 1, 17, 0, 3, 3, 2, 7, 1}
{8, 8, 1, 13, 0, 2, 7, 6, 4, 1}
{8, 8, 1, 13, 0, 2, 7, 4, 6, 1}
{8, 8, 1, 10, 0, 2, 4, 8, 8, 1}
{8, 8, 1, 7, 0, 2, 9, 11, 3, 1}
{8, 8, 1, 7, 0, 2, 9, 3, 11, 1}
{8, 8, 1, 6, 0, 2, 4, 12, 8, 1}
{8, 8, 1, 6, 0, 2, 4, 8, 12, 1}
{8, 8, 1, 5, 0, 6, 15, 4, 2, 1}
{8, 8, 1, 5, 0, 6, 15, 2, 4, 1}
{8, 8, 1, 3, 0, 2, 13, 11, 3, 1}
{8, 8, 1, 3, 0, 2, 13, 3, 11, 1}
{8, 8, 1, 3, 0, 2, 9, 15, 3, 1}
{8, 8, 1, 3, 0, 2, 9, 3, 15, 1}
{8, 8, 1, 2, 0, 21, 3, 4, 2, 1}
{8, 8, 1, 2, 0, 21, 3, 2, 4, 1}
{8, 8, 1, 2, 0, 9, 15, 4, 2, 1}
{8, 8, 1, 2, 0, 9, 15, 2, 4, 1}
{8, 8, 1, 2, 0, 3, 13, 12, 2, 1}
{8, 8, 1, 2, 0, 3, 13, 2, 12, 1}
{8, 8, 1, 2, 0, 3, 3, 22, 2, 1}
{8, 8, 1, 2, 0, 3, 3, 2, 22, 1}
{8, 8, 1, 1, 0, 2, 19, 6, 4, 1}
{8, 8, 1, 1, 0, 2, 19, 4, 6, 1}
{8, 8, 1, 1, 0, 2, 5, 18, 6, 1}
{8, 8, 1, 1, 0, 2, 5, 6, 18, 1}
{8, 7, 12, 1, 0, 2, 5, 7, 7, 1}
{8, 7, 7, 7, 0, 5, 2, 12, 1, 1}
{8, 7, 7, 7, 0, 5, 2, 1, 12, 1}
{8, 7, 1, 12, 0, 2, 5, 7, 7, 1}
{8, 6, 22, 2, 0, 1, 6, 3, 1, 1}
{8, 6, 22, 2, 0, 1, 6, 1, 3, 1}
{8, 6, 22, 2, 0, 1, 1, 6, 3, 1}
{8, 6, 22, 2, 0, 1, 1, 3, 6, 1}
{8, 6, 15, 3, 0, 9, 1, 4, 3, 1}
{8, 6, 15, 3, 0, 9, 1, 3, 4, 1}
{8, 6, 15, 1, 0, 9, 3, 4, 3, 1}
{8, 6, 15, 1, 0, 9, 3, 3, 4, 1}
{8, 6, 13, 2, 0, 1, 9, 9, 1, 1}
{8, 6, 13, 2, 0, 1, 9, 1, 9, 1}
{8, 6, 12, 8, 0, 5, 2, 7, 1, 1}
{8, 6, 12, 8, 0, 5, 2, 1, 7, 1}
{8, 6, 12, 2, 0, 1, 16, 3, 1, 1}
{8, 6, 12, 2, 0, 1, 16, 1, 3, 1}
{8, 6, 12, 2, 0, 1, 11, 6, 3, 1}
{8, 6, 12, 2, 0, 1, 11, 3, 6, 1}
{8, 6, 12, 2, 0, 1, 4, 10, 6, 1}
{8, 6, 12, 2, 0, 1, 4, 6, 10, 1}
{8, 6, 10, 6, 0, 4, 1, 12, 2, 1}
{8, 6, 10, 6, 0, 4, 1, 2, 12, 1}
{8, 6, 10, 4, 0, 16, 2, 2, 1, 1}
{8, 6, 10, 4, 0, 16, 2, 1, 2, 1}
{8, 6, 9, 6, 0, 7, 5, 4, 4, 1}
{8, 6, 9, 1, 0, 9, 9, 4, 3, 1}
{8, 6, 9, 1, 0, 9, 9, 3, 4, 1}
{8, 6, 9, 1, 0, 9, 1, 13, 2, 1}
{8, 6, 9, 1, 0, 9, 1, 2, 13, 1}
{8, 6, 8, 12, 0, 5, 2, 7, 1, 1}
{8, 6, 8, 12, 0, 5, 2, 1, 7, 1}
{8, 6, 8, 3, 0, 5, 5, 7, 7, 1}
{8, 6, 7, 7, 0, 5, 5, 8, 3, 1}
{8, 6, 7, 7, 0, 5, 5, 3, 8, 1}
{8, 6, 7, 2, 0, 15, 5, 3, 3, 1}
{8, 6, 7, 1, 0, 2, 5, 12, 8, 1}
{8, 6, 7, 1, 0, 2, 5, 8, 12, 1}
{8, 6, 6, 10, 0, 4, 1, 12, 2, 1}
{8, 6, 6, 10, 0, 4, 1, 2, 12, 1}
{8, 6, 6, 9, 0, 7, 5, 4, 4, 1}
{8, 6, 6, 3, 0, 11, 1, 12, 2, 1}
{8, 6, 6, 3, 0, 11, 1, 2, 12, 1}
{8, 6, 6, 3, 0, 1, 1, 22, 2, 1}
{8, 6, 6, 3, 0, 1, 1, 2, 22, 1}
{8, 6, 4, 10, 0, 16, 2, 2, 1, 1}
{8, 6, 4, 10, 0, 16, 2, 1, 2, 1}
{8, 6, 4, 4, 0, 5, 7, 9, 6, 1}
{8, 6, 4, 4, 0, 5, 7, 6, 9, 1}
{8, 6, 4, 3, 0, 9, 9, 9, 1, 1}
{8, 6, 4, 3, 0, 9, 9, 1, 9, 1}
{8, 6, 4, 3, 0, 3, 9, 15, 1, 1}
{8, 6, 4, 3, 0, 3, 9, 1, 15, 1}
{8, 6, 4, 3, 0, 1, 9, 15, 3, 1}
{8, 6, 4, 3, 0, 1, 9, 3, 15, 1}
{8, 6, 3, 15, 0, 9, 1, 4, 3, 1}
{8, 6, 3, 15, 0, 9, 1, 3, 4, 1}
{8, 6, 3, 8, 0, 5, 5, 7, 7, 1}
{8, 6, 3, 6, 0, 11, 1, 12, 2, 1}
{8, 6, 3, 6, 0, 11, 1, 2, 12, 1}
{8, 6, 3, 6, 0, 1, 1, 22, 2, 1}
{8, 6, 3, 6, 0, 1, 1, 2, 22, 1}
{8, 6, 3, 4, 0, 9, 9, 9, 1, 1}
{8, 6, 3, 4, 0, 9, 9, 1, 9, 1}
{8, 6, 3, 4, 0, 3, 9, 15, 1, 1}
{8, 6, 3, 4, 0, 3, 9, 1, 15, 1}
{8, 6, 3, 4, 0, 1, 9, 15, 3, 1}
{8, 6, 3, 4, 0, 1, 9, 3, 15, 1}
{8, 6, 3, 3, 0, 5, 15, 7, 2, 1}
{8, 6, 3, 3, 0, 5, 15, 2, 7, 1}
{8, 6, 3, 1, 0, 16, 1, 12, 2, 1}
{8, 6, 3, 1, 0, 16, 1, 2, 12, 1}
{8, 6, 3, 1, 0, 6, 1, 22, 2, 1}
{8, 6, 3, 1, 0, 6, 1, 2, 22, 1}
{8, 6, 2, 22, 0, 1, 6, 3, 1, 1}
{8, 6, 2, 22, 0, 1, 6, 1, 3, 1}
{8, 6, 2, 22, 0, 1, 1, 6, 3, 1}
{8, 6, 2, 22, 0, 1, 1, 3, 6, 1}
{8, 6, 2, 13, 0, 1, 9, 9, 1, 1}
{8, 6, 2, 13, 0, 1, 9, 1, 9, 1}
{8, 6, 2, 12, 0, 1, 16, 3, 1, 1}
{8, 6, 2, 12, 0, 1, 16, 1, 3, 1}
{8, 6, 2, 12, 0, 1, 11, 6, 3, 1}
{8, 6, 2, 12, 0, 1, 11, 3, 6, 1}
{8, 6, 2, 12, 0, 1, 4, 10, 6, 1}
{8, 6, 2, 12, 0, 1, 4, 6, 10, 1}
{8, 6, 2, 7, 0, 15, 5, 3, 3, 1}
{8, 6, 2, 1, 0, 2, 16, 10, 4, 1}
{8, 6, 2, 1, 0, 2, 16, 4, 10, 1}
{8, 6, 1, 15, 0, 9, 3, 4, 3, 1}
{8, 6, 1, 15, 0, 9, 3, 3, 4, 1}
{8, 6, 1, 9, 0, 9, 9, 4, 3, 1}
{8, 6, 1, 9, 0, 9, 9, 3, 4, 1}
{8, 6, 1, 9, 0, 9, 1, 13, 2, 1}
{8, 6, 1, 9, 0, 9, 1, 2, 13, 1}
{8, 6, 1, 7, 0, 2, 5, 12, 8, 1}
{8, 6, 1, 7, 0, 2, 5, 8, 12, 1}
{8, 6, 1, 3, 0, 16, 1, 12, 2, 1}
{8, 6, 1, 3, 0, 16, 1, 2, 12, 1}
{8, 6, 1, 3, 0, 6, 1, 22, 2, 1}
{8, 6, 1, 3, 0, 6, 1, 2, 22, 1}
{8, 6, 1, 2, 0, 2, 16, 10, 4, 1}
{8, 6, 1, 2, 0, 2, 16, 4, 10, 1}
{8, 5, 20, 2, 0, 3, 1, 6, 4, 1}
{8, 5, 20, 2, 0, 3, 1, 4, 6, 1}
{8, 5, 19, 3, 0, 7, 3, 2, 2, 1}
{8, 5, 18, 6, 0, 1, 3, 6, 2, 1}
{8, 5, 18, 6, 0, 1, 3, 2, 6, 1}
{8, 5, 15, 3, 0, 9, 3, 3, 3, 1}
{8, 5, 15, 3, 0, 9, 1, 4, 4, 1}
{8, 5, 12, 2, 0, 12, 2, 4, 4, 1}
{8, 5, 8, 3, 0, 13, 4, 5, 3, 1}
{8, 5, 8, 3, 0, 13, 4, 3, 5, 1}
{8, 5, 7, 3, 0, 7, 9, 5, 5, 1}
{8, 5, 6, 18, 0, 1, 3, 6, 2, 1}
{8, 5, 6, 18, 0, 1, 3, 2, 6, 1}
{8, 5, 6, 4, 0, 1, 3, 20, 2, 1}
{8, 5, 6, 4, 0, 1, 3, 2, 20, 1}
{8, 5, 6, 2, 0, 3, 1, 18, 6, 1}
{8, 5, 6, 2, 0, 3, 1, 6, 18, 1}
{8, 5, 5, 5, 0, 9, 7, 7, 3, 1}
{8, 5, 5, 5, 0, 9, 7, 3, 7, 1}
{8, 5, 5, 3, 0, 9, 11, 4, 4, 1}
{8, 5, 5, 3, 0, 4, 13, 8, 3, 1}
{8, 5, 5, 3, 0, 4, 13, 3, 8, 1}
{8, 5, 4, 6, 0, 1, 3, 20, 2, 1}
{8, 5, 4, 6, 0, 1, 3, 2, 20, 1}
{8, 5, 4, 4, 0, 11, 9, 5, 3, 1}
{8, 5, 4, 4, 0, 11, 9, 3, 5, 1}
{8, 5, 4, 4, 0, 2, 12, 12, 2, 1}
{8, 5, 4, 4, 0, 2, 12, 2, 12, 1}
{8, 5, 4, 4, 0, 1, 9, 15, 3, 1}
{8, 5, 4, 4, 0, 1, 9, 3, 15, 1}
{8, 5, 3, 19, 0, 7, 3, 2, 2, 1}
{8, 5, 3, 15, 0, 9, 3, 3, 3, 1}
{8, 5, 3, 15, 0, 9, 1, 4, 4, 1}
{8, 5, 3, 8, 0, 13, 4, 5, 3, 1}
{8, 5, 3, 8, 0, 13, 4, 3, 5, 1}
{8, 5, 3, 7, 0, 7, 9, 5, 5, 1}
{8, 5, 3, 5, 0, 9, 11, 4, 4, 1}
{8, 5, 3, 5, 0, 4, 13, 8, 3, 1}
{8, 5, 3, 5, 0, 4, 13, 3, 8, 1}
{8, 5, 3, 3, 0, 3, 9, 15, 3, 1}
{8, 5, 3, 3, 0, 3, 9, 3, 15, 1}
{8, 5, 2, 20, 0, 3, 1, 6, 4, 1}
{8, 5, 2, 20, 0, 3, 1, 4, 6, 1}
{8, 5, 2, 12, 0, 12, 2, 4, 4, 1}
{8, 5, 2, 6, 0, 3, 1, 18, 6, 1}
{8, 5, 2, 6, 0, 3, 1, 6, 18, 1}
{8, 5, 2, 2, 0, 3, 7, 19, 3, 1}
{8, 5, 2, 2, 0, 3, 7, 3, 19, 1}
{8, 4, 24, 4, 0, 3, 4, 1, 1, 1}
{8, 4, 19, 3, 0, 5, 8, 1, 1, 1}
{8, 4, 18, 3, 0, 3, 11, 1, 1, 1}
{8, 4, 17, 3, 0, 6, 9, 1, 1, 1}
{8, 4, 16, 12, 0, 2, 4, 2, 1, 1}
{8, 4, 16, 12, 0, 2, 4, 1, 2, 1}
{8, 4, 15, 5, 0, 4, 3, 5, 5, 1}
{8, 4, 15, 5, 0, 4, 1, 6, 6, 1}
{8, 4, 15, 5, 0, 3, 2, 6, 6, 1}
{8, 4, 15, 5, 0, 1, 11, 4, 1, 1}
{8, 4, 15, 5, 0, 1, 11, 1, 4, 1}
{8, 4, 14, 4, 0, 4, 2, 7, 6, 1}
{8, 4, 14, 4, 0, 4, 2, 6, 7, 1}
{8, 4, 12, 16, 0, 2, 4, 2, 1, 1}
{8, 4, 12, 16, 0, 2, 4, 1, 2, 1}
{8, 4, 12, 4, 0, 14, 3, 3, 1, 1}
{8, 4, 12, 4, 0, 14, 3, 1, 3, 1}
{8, 4, 12, 4, 0, 2, 3, 10, 6, 1}
{8, 4, 12, 4, 0, 2, 3, 6, 10, 1}
{8, 4, 12, 4, 0, 1, 16, 3, 1, 1}
{8, 4, 12, 4, 0, 1, 16, 1, 3, 1}
{8, 4, 12, 4, 0, 1, 11, 6, 3, 1}
{8, 4, 12, 4, 0, 1, 11, 3, 6, 1}
{8, 4, 12, 4, 0, 1, 4, 10, 6, 1}
{8, 4, 12, 4, 0, 1, 4, 6, 10, 1}
{8, 4, 12, 3, 0, 7, 1, 9, 5, 1}
{8, 4, 12, 3, 0, 7, 1, 5, 9, 1}
{8, 4, 12, 3, 0, 6, 8, 4, 4, 1}
{8, 4, 10, 10, 0, 2, 3, 9, 3, 1}
{8, 4, 10, 10, 0, 2, 3, 3, 9, 1}
{8, 4, 10, 6, 0, 4, 1, 12, 4, 1}
{8, 4, 10, 6, 0, 4, 1, 4, 12, 1}
{8, 4, 10, 6, 0, 3, 2, 12, 4, 1}
{8, 4, 10, 6, 0, 3, 2, 4, 12, 1}
{8, 4, 9, 5, 0, 1, 7, 12, 3, 1}
{8, 4, 9, 5, 0, 1, 7, 3, 12, 1}
{8, 4, 9, 3, 0, 3, 2, 10, 10, 1}
{8, 4, 7, 6, 0, 2, 4, 14, 4, 1}
{8, 4, 7, 6, 0, 2, 4, 4, 14, 1}
{8, 4, 6, 10, 0, 4, 1, 12, 4, 1}
{8, 4, 6, 10, 0, 4, 1, 4, 12, 1}
{8, 4, 6, 10, 0, 3, 2, 12, 4, 1}
{8, 4, 6, 10, 0, 3, 2, 4, 12, 1}
{8, 4, 6, 7, 0, 2, 4, 14, 4, 1}
{8, 4, 6, 7, 0, 2, 4, 4, 14, 1}
{8, 4, 6, 6, 0, 2, 3, 15, 5, 1}
{8, 4, 6, 6, 0, 2, 3, 5, 15, 1}
{8, 4, 6, 6, 0, 1, 4, 15, 5, 1}
{8, 4, 6, 6, 0, 1, 4, 5, 15, 1}
{8, 4, 6, 3, 0, 11, 1, 12, 4, 1}
{8, 4, 6, 3, 0, 11, 1, 4, 12, 1}
{8, 4, 5, 15, 0, 4, 3, 5, 5, 1}
{8, 4, 5, 15, 0, 4, 1, 6, 6, 1}
{8, 4, 5, 15, 0, 3, 2, 6, 6, 1}
{8, 4, 5, 15, 0, 1, 11, 4, 1, 1}
{8, 4, 5, 15, 0, 1, 11, 1, 4, 1}
{8, 4, 5, 9, 0, 1, 7, 12, 3, 1}
{8, 4, 5, 9, 0, 1, 7, 3, 12, 1}
{8, 4, 5, 5, 0, 3, 4, 15, 5, 1}
{8, 4, 5, 5, 0, 3, 4, 5, 15, 1}
{8, 4, 4, 24, 0, 3, 4, 1, 1, 1}
{8, 4, 4, 14, 0, 4, 2, 7, 6, 1}
{8, 4, 4, 14, 0, 4, 2, 6, 7, 1}
{8, 4, 4, 12, 0, 14, 3, 3, 1, 1}
{8, 4, 4, 12, 0, 14, 3, 1, 3, 1}
{8, 4, 4, 12, 0, 2, 3, 10, 6, 1}
{8, 4, 4, 12, 0, 2, 3, 6, 10, 1}
{8, 4, 4, 12, 0, 1, 16, 3, 1, 1}
{8, 4, 4, 12, 0, 1, 16, 1, 3, 1}
{8, 4, 4, 12, 0, 1, 11, 6, 3, 1}
{8, 4, 4, 12, 0, 1, 11, 3, 6, 1}
{8, 4, 4, 12, 0, 1, 4, 10, 6, 1}
{8, 4, 4, 12, 0, 1, 4, 6, 10, 1}
{8, 4, 4, 4, 0, 8, 6, 12, 3, 1}
{8, 4, 4, 4, 0, 8, 6, 3, 12, 1}
{8, 4, 4, 1, 0, 11, 1, 15, 5, 1}
{8, 4, 4, 1, 0, 11, 1, 5, 15, 1}
{8, 4, 3, 19, 0, 5, 8, 1, 1, 1}
{8, 4, 3, 18, 0, 3, 11, 1, 1, 1}
{8, 4, 3, 17, 0, 6, 9, 1, 1, 1}
{8, 4, 3, 12, 0, 7, 1, 9, 5, 1}
{8, 4, 3, 12, 0, 7, 1, 5, 9, 1}
{8, 4, 3, 12, 0, 6, 8, 4, 4, 1}
{8, 4, 3, 9, 0, 3, 2, 10, 10, 1}
{8, 4, 3, 6, 0, 11, 1, 12, 4, 1}
{8, 4, 3, 6, 0, 11, 1, 4, 12, 1}
{8, 4, 3, 1, 0, 16, 1, 12, 4, 1}
{8, 4, 3, 1, 0, 16, 1, 4, 12, 1}
{8, 4, 3, 1, 0, 3, 14, 12, 4, 1}
{8, 4, 3, 1, 0, 3, 14, 4, 12, 1}
{8, 4, 2, 1, 0, 4, 2, 16, 12, 1}
{8, 4, 2, 1, 0, 4, 2, 12, 16, 1}
{8, 4, 1, 4, 0, 11, 1, 15, 5, 1}
{8, 4, 1, 4, 0, 11, 1, 5, 15, 1}
{8, 4, 1, 3, 0, 16, 1, 12, 4, 1}
{8, 4, 1, 3, 0, 16, 1, 4, 12, 1}
{8, 4, 1, 3, 0, 3, 14, 12, 4, 1}
{8, 4, 1, 3, 0, 3, 14, 4, 12, 1}
{8, 4, 1, 2, 0, 4, 2, 16, 12, 1}
{8, 4, 1, 2, 0, 4, 2, 12, 16, 1}
{8, 4, 1, 1, 0, 11, 3, 18, 3, 1}
{8, 4, 1, 1, 0, 11, 3, 3, 18, 1}
{8, 4, 1, 1, 0, 9, 6, 17, 3, 1}
{8, 4, 1, 1, 0, 9, 6, 3, 17, 1}
{8, 4, 1, 1, 0, 8, 5, 19, 3, 1}
{8, 4, 1, 1, 0, 8, 5, 3, 19, 1}
{8, 4, 1, 1, 0, 4, 3, 24, 4, 1}
{8, 4, 1, 1, 0, 4, 3, 4, 24, 1}
{8, 3, 27, 1, 0, 6, 1, 2, 1, 1}
{8, 3, 27, 1, 0, 6, 1, 1, 2, 1}
{8, 3, 22, 6, 0, 3, 5, 1, 1, 1}
{8, 3, 12, 3, 0, 9, 3, 6, 5, 1}
{8, 3, 12, 3, 0, 9, 3, 5, 6, 1}
{8, 3, 12, 1, 0, 6, 5, 7, 7, 1}
{8, 3, 11, 9, 0, 14, 2, 1, 1, 1}
{8, 3, 10, 5, 0, 11, 10, 1, 1, 1}
{8, 3, 10, 2, 0, 3, 5, 9, 9, 1}
{8, 3, 9, 11, 0, 14, 2, 1, 1, 1}
{8, 3, 9, 9, 0, 5, 3, 10, 2, 1}
{8, 3, 9, 9, 0, 5, 3, 2, 10, 1}
{8, 3, 7, 7, 0, 5, 6, 12, 1, 1}
{8, 3, 7, 7, 0, 5, 6, 1, 12, 1}
{8, 3, 6, 22, 0, 3, 5, 1, 1, 1}
{8, 3, 6, 5, 0, 3, 9, 12, 3, 1}
{8, 3, 6, 5, 0, 3, 9, 3, 12, 1}
{8, 3, 5, 10, 0, 11, 10, 1, 1, 1}
{8, 3, 5, 6, 0, 3, 9, 12, 3, 1}
{8, 3, 5, 6, 0, 3, 9, 3, 12, 1}
{8, 3, 3, 12, 0, 9, 3, 6, 5, 1}
{8, 3, 3, 12, 0, 9, 3, 5, 6, 1}
{8, 3, 2, 10, 0, 3, 5, 9, 9, 1}
{8, 3, 2, 1, 0, 1, 6, 27, 1, 1}
{8, 3, 2, 1, 0, 1, 6, 1, 27, 1}
{8, 3, 1, 27, 0, 6, 1, 2, 1, 1}
{8, 3, 1, 27, 0, 6, 1, 1, 2, 1}
{8, 3, 1, 12, 0, 6, 5, 7, 7, 1}
{8, 3, 1, 2, 0, 1, 6, 27, 1, 1}
{8, 3, 1, 2, 0, 1, 6, 1, 27, 1}
{8, 3, 1, 1, 0, 10, 11, 10, 5, 1}
{8, 3, 1, 1, 0, 10, 11, 5, 10, 1}
{8, 3, 1, 1, 0, 5, 3, 22, 6, 1}
{8, 3, 1, 1, 0, 5, 3, 6, 22, 1}
{8, 3, 1, 1, 0, 2, 14, 11, 9, 1}
{8, 3, 1, 1, 0, 2, 14, 9, 11, 1}
{8, 2, 30, 2, 0, 1, 3, 2, 1, 1}
{8, 2, 30, 2, 0, 1, 3, 1, 2, 1}
{8, 2, 18, 6, 0, 4, 5, 3, 3, 1}
{8, 2, 17, 6, 0, 7, 5, 2, 2, 1}
{8, 2, 15, 10, 0, 7, 5, 1, 1, 1}
{8, 2, 15, 7, 0, 10, 3, 2, 2, 1}
{8, 2, 14, 5, 0, 3, 7, 7, 3, 1}
{8, 2, 14, 5, 0, 3, 7, 3, 7, 1}
{8, 2, 13, 13, 0, 5, 4, 3, 1, 1}
{8, 2, 13, 13, 0, 5, 4, 1, 3, 1}
{8, 2, 12, 12, 0, 4, 7, 3, 1, 1}
{8, 2, 12, 12, 0, 4, 7, 1, 3, 1}
{8, 2, 12, 3, 0, 7, 3, 9, 5, 1}
{8, 2, 12, 3, 0, 7, 3, 5, 9, 1}
{8, 2, 10, 15, 0, 7, 5, 1, 1, 1}
{8, 2, 10, 10, 0, 5, 7, 6, 1, 1}
{8, 2, 10, 10, 0, 5, 7, 1, 6, 1}
{8, 2, 9, 5, 0, 3, 7, 12, 3, 1}
{8, 2, 9, 5, 0, 3, 7, 3, 12, 1}
{8, 2, 8, 6, 0, 4, 13, 6, 2, 1}
{8, 2, 8, 6, 0, 4, 13, 2, 6, 1}
{8, 2, 7, 15, 0, 10, 3, 2, 2, 1}
{8, 2, 7, 3, 0, 7, 3, 14, 5, 1}
{8, 2, 7, 3, 0, 7, 3, 5, 14, 1}
{8, 2, 6, 18, 0, 4, 5, 3, 3, 1}
{8, 2, 6, 17, 0, 7, 5, 2, 2, 1}
{8, 2, 6, 8, 0, 4, 13, 6, 2, 1}
{8, 2, 6, 8, 0, 4, 13, 2, 6, 1}
{8, 2, 6, 2, 0, 13, 4, 8, 6, 1}
{8, 2, 6, 2, 0, 13, 4, 6, 8, 1}
{8, 2, 6, 1, 0, 7, 5, 10, 10, 1}
{8, 2, 5, 14, 0, 3, 7, 7, 3, 1}
{8, 2, 5, 14, 0, 3, 7, 3, 7, 1}
{8, 2, 5, 9, 0, 3, 7, 12, 3, 1}
{8, 2, 5, 9, 0, 3, 7, 3, 12, 1}
{8, 2, 3, 12, 0, 7, 3, 9, 5, 1}
{8, 2, 3, 12, 0, 7, 3, 5, 9, 1}
{8, 2, 3, 7, 0, 7, 3, 14, 5, 1}
{8, 2, 3, 7, 0, 7, 3, 5, 14, 1}
{8, 2, 3, 3, 0, 5, 4, 18, 6, 1}
{8, 2, 3, 3, 0, 5, 4, 6, 18, 1}
{8, 2, 3, 1, 0, 7, 4, 12, 12, 1}
{8, 2, 3, 1, 0, 4, 5, 13, 13, 1}
{8, 2, 2, 30, 0, 1, 3, 2, 1, 1}
{8, 2, 2, 30, 0, 1, 3, 1, 2, 1}
{8, 2, 2, 6, 0, 13, 4, 8, 6, 1}
{8, 2, 2, 6, 0, 13, 4, 6, 8, 1}
{8, 2, 2, 2, 0, 5, 7, 17, 6, 1}
{8, 2, 2, 2, 0, 5, 7, 6, 17, 1}
{8, 2, 2, 2, 0, 3, 10, 15, 7, 1}
{8, 2, 2, 2, 0, 3, 10, 7, 15, 1}
{8, 2, 2, 1, 0, 3, 1, 30, 2, 1}
{8, 2, 2, 1, 0, 3, 1, 2, 30, 1}
{8, 2, 1, 6, 0, 7, 5, 10, 10, 1}
{8, 2, 1, 3, 0, 7, 4, 12, 12, 1}
{8, 2, 1, 3, 0, 4, 5, 13, 13, 1}
{8, 2, 1, 2, 0, 3, 1, 30, 2, 1}
{8, 2, 1, 2, 0, 3, 1, 2, 30, 1}
{8, 2, 1, 1, 0, 5, 7, 15, 10, 1}
{8, 2, 1, 1, 0, 5, 7, 10, 15, 1}
{8, 1, 30, 6, 0, 1, 1, 1, 1, 1}
{8, 1, 16, 6, 0, 8, 4, 4, 2, 1}
{8, 1, 16, 6, 0, 8, 4, 2, 4, 1}
{8, 1, 7, 7, 0, 5, 15, 3, 3, 1}
{8, 1, 6, 30, 0, 1, 1, 1, 1, 1}
{8, 1, 6, 16, 0, 8, 4, 4, 2, 1}
{8, 1, 6, 16, 0, 8, 4, 2, 4, 1}
{8, 1, 4, 2, 0, 4, 8, 16, 6, 1}
{8, 1, 4, 2, 0, 4, 8, 6, 16, 1}
{8, 1, 3, 3, 0, 15, 5, 7, 7, 1}
{8, 1, 2, 4, 0, 4, 8, 16, 6, 1}
{8, 1, 2, 4, 0, 4, 8, 6, 16, 1}
{8, 1, 1, 1, 0, 1, 1, 30, 6, 1}
{8, 1, 1, 1, 0, 1, 1, 6, 30, 1}
{7, 22, 7, 1, 0, 3, 3, 5, 1, 1}
{7, 22, 7, 1, 0, 3, 3, 1, 5, 1}
{7, 22, 5, 1, 0, 3, 3, 7, 1, 1}
{7, 22, 5, 1, 0, 3, 3, 1, 7, 1}
{7, 22, 1, 7, 0, 3, 3, 5, 1, 1}
{7, 22, 1, 7, 0, 3, 3, 1, 5, 1}
{7, 22, 1, 5, 0, 3, 3, 7, 1, 1}
{7, 22, 1, 5, 0, 3, 3, 1, 7, 1}
{7, 21, 9, 1, 0, 2, 3, 4, 2, 1}
{7, 21, 9, 1, 0, 2, 3, 2, 4, 1}
{7, 21, 6, 2, 0, 6, 2, 4, 1, 1}
{7, 21, 6, 2, 0, 6, 2, 1, 4, 1}
{7, 21, 6, 2, 0, 6, 1, 4, 2, 1}
{7, 21, 6, 2, 0, 6, 1, 2, 4, 1}
{7, 21, 6, 1, 0, 5, 6, 2, 1, 1}
{7, 21, 6, 1, 0, 5, 6, 1, 2, 1}
{7, 21, 6, 1, 0, 2, 3, 5, 4, 1}
{7, 21, 6, 1, 0, 2, 3, 4, 5, 1}
{7, 21, 5, 4, 0, 3, 2, 6, 1, 1}
{7, 21, 5, 4, 0, 3, 2, 1, 6, 1}
{7, 21, 4, 5, 0, 3, 2, 6, 1, 1}
{7, 21, 4, 5, 0, 3, 2, 1, 6, 1}
{7, 21, 4, 2, 0, 3, 2, 9, 1, 1}
{7, 21, 4, 2, 0, 3, 2, 1, 9, 1}
{7, 21, 4, 2, 0, 1, 6, 6, 2, 1}
{7, 21, 4, 2, 0, 1, 6, 2, 6, 1}
{7, 21, 4, 1, 0, 2, 6, 6, 2, 1}
{7, 21, 4, 1, 0, 2, 6, 2, 6, 1}
{7, 21, 2, 6, 0, 6, 2, 4, 1, 1}
{7, 21, 2, 6, 0, 6, 2, 1, 4, 1}
{7, 21, 2, 6, 0, 6, 1, 4, 2, 1}
{7, 21, 2, 6, 0, 6, 1, 2, 4, 1}
{7, 21, 2, 4, 0, 3, 2, 9, 1, 1}
{7, 21, 2, 4, 0, 3, 2, 1, 9, 1}
{7, 21, 2, 4, 0, 1, 6, 6, 2, 1}
{7, 21, 2, 4, 0, 1, 6, 2, 6, 1}
{7, 21, 2, 1, 0, 6, 5, 6, 1, 1}
{7, 21, 2, 1, 0, 6, 5, 1, 6, 1}
{7, 21, 1, 9, 0, 2, 3, 4, 2, 1}
{7, 21, 1, 9, 0, 2, 3, 2, 4, 1}
{7, 21, 1, 6, 0, 5, 6, 2, 1, 1}
{7, 21, 1, 6, 0, 5, 6, 1, 2, 1}
{7, 21, 1, 6, 0, 2, 3, 5, 4, 1}
{7, 21, 1, 6, 0, 2, 3, 4, 5, 1}
{7, 21, 1, 4, 0, 2, 6, 6, 2, 1}
{7, 21, 1, 4, 0, 2, 6, 2, 6, 1}
{7, 21, 1, 2, 0, 6, 5, 6, 1, 1}
{7, 21, 1, 2, 0, 6, 5, 1, 6, 1}
{7, 20, 7, 3, 0, 5, 1, 4, 2, 1}
{7, 20, 7, 3, 0, 5, 1, 2, 4, 1}
{7, 20, 4, 2, 0, 1, 5, 7, 3, 1}
{7, 20, 4, 2, 0, 1, 5, 3, 7, 1}
{7, 20, 3, 7, 0, 5, 1, 4, 2, 1}
{7, 20, 3, 7, 0, 5, 1, 2, 4, 1}
{7, 20, 2, 4, 0, 1, 5, 7, 3, 1}
{7, 20, 2, 4, 0, 1, 5, 3, 7, 1}
{7, 16, 10, 1, 0, 2, 5, 6, 2, 1}
{7, 16, 10, 1, 0, 2, 5, 2, 6, 1}
{7, 16, 9, 2, 0, 5, 2, 7, 1, 1}
{7, 16, 9, 2, 0, 5, 2, 1, 7, 1}
{7, 16, 7, 1, 0, 2, 5, 9, 2, 1}
{7, 16, 7, 1, 0, 2, 5, 2, 9, 1}
{7, 16, 6, 2, 0, 5, 2, 10, 1, 1}
{7, 16, 6, 2, 0, 5, 2, 1, 10, 1}
{7, 16, 2, 9, 0, 5, 2, 7, 1, 1}
{7, 16, 2, 9, 0, 5, 2, 1, 7, 1}
{7, 16, 2, 6, 0, 5, 2, 10, 1, 1}
{7, 16, 2, 6, 0, 5, 2, 1, 10, 1}
{7, 16, 1, 10, 0, 2, 5, 6, 2, 1}
{7, 16, 1, 10, 0, 2, 5, 2, 6, 1}
{7, 16, 1, 7, 0, 2, 5, 9, 2, 1}
{7, 16, 1, 7, 0, 2, 5, 2, 9, 1}
{7, 12, 11, 1, 0, 3, 1, 7, 7, 1}
{7, 12, 7, 7, 0, 1, 3, 11, 1, 1}
{7, 12, 7, 7, 0, 1, 3, 1, 11, 1}
{7, 12, 1, 11, 0, 3, 1, 7, 7, 1}
{7, 9, 9, 1, 0, 14, 3, 4, 2, 1}
{7, 9, 9, 1, 0, 14, 3, 2, 4, 1}
{7, 9, 4, 2, 0, 3, 14, 9, 1, 1}
{7, 9, 4, 2, 0, 3, 14, 1, 9, 1}
{7, 9, 2, 4, 0, 3, 14, 9, 1, 1}
{7, 9, 2, 4, 0, 3, 14, 1, 9, 1}
{7, 9, 1, 9, 0, 14, 3, 4, 2, 1}
{7, 9, 1, 9, 0, 14, 3, 2, 4, 1}
{7, 8, 12, 1, 0, 2, 5, 7, 7, 1}
{7, 8, 7, 7, 0, 5, 2, 12, 1, 1}
{7, 8, 7, 7, 0, 5, 2, 1, 12, 1}
{7, 8, 1, 12, 0, 2, 5, 7, 7, 1}
{7, 7, 24, 3, 0, 3, 3, 1, 1, 1}
{7, 7, 20, 5, 0, 1, 2, 5, 2, 1}
{7, 7, 20, 5, 0, 1, 2, 2, 5, 1}
{7, 7, 20, 4, 0, 3, 2, 4, 2, 1}
{7, 7, 20, 4, 0, 3, 2, 2, 4, 1}
{7, 7, 20, 2, 0, 1, 2, 8, 2, 1}
{7, 7, 20, 2, 0, 1, 2, 2, 8, 1}
{7, 7, 19, 2, 0, 3, 2, 7, 2, 1}
{7, 7, 19, 2, 0, 3, 2, 2, 7, 1}
{7, 7, 19, 1, 0, 6, 2, 4, 3, 1}
{7, 7, 19, 1, 0, 6, 2, 3, 4, 1}
{7, 7, 19, 1, 0, 4, 1, 5, 5, 1}
{7, 7, 17, 1, 0, 4, 1, 8, 4, 1}
{7, 7, 17, 1, 0, 4, 1, 4, 8, 1}
{7, 7, 16, 1, 0, 6, 5, 4, 3, 1}
{7, 7, 16, 1, 0, 6, 5, 3, 4, 1}
{7, 7, 16, 1, 0, 3, 5, 7, 3, 1}
{7, 7, 16, 1, 0, 3, 5, 3, 7, 1}
{7, 7, 14, 2, 0, 8, 2, 7, 2, 1}
{7, 7, 14, 2, 0, 8, 2, 2, 7, 1}
{7, 7, 14, 2, 0, 5, 1, 11, 2, 1}
{7, 7, 14, 2, 0, 5, 1, 2, 11, 1}
{7, 7, 14, 2, 0, 2, 1, 14, 2, 1}
{7, 7, 14, 2, 0, 2, 1, 2, 14, 1}
{7, 7, 14, 2, 0, 1, 2, 14, 2, 1}
{7, 7, 14, 2, 0, 1, 2, 2, 14, 1}
{7, 7, 14, 1, 0, 4, 1, 10, 5, 1}
{7, 7, 14, 1, 0, 4, 1, 5, 10, 1}
{7, 7, 13, 13, 0, 2, 3, 3, 1, 1}
{7, 7, 13, 13, 0, 2, 3, 1, 3, 1}
{7, 7, 13, 1, 0, 4, 1, 8, 8, 1}
{7, 7, 12, 4, 0, 9, 2, 7, 1, 1}
{7, 7, 12, 4, 0, 9, 2, 1, 7, 1}
{7, 7, 11, 2, 0, 1, 5, 14, 2, 1}
{7, 7, 11, 2, 0, 1, 5, 2, 14, 1}
{7, 7, 11, 1, 0, 2, 8, 8, 5, 1}
{7, 7, 11, 1, 0, 2, 8, 5, 8, 1}
{7, 7, 10, 5, 0, 1, 4, 14, 1, 1}
{7, 7, 10, 5, 0, 1, 4, 1, 14, 1}
{7, 7, 9, 4, 0, 17, 2, 2, 1, 1}
{7, 7, 9, 4, 0, 17, 2, 1, 2, 1}
{7, 7, 9, 2, 0, 5, 11, 7, 1, 1}
{7, 7, 9, 2, 0, 5, 11, 1, 7, 1}
{7, 7, 9, 2, 0, 2, 17, 4, 1, 1}
{7, 7, 9, 2, 0, 2, 17, 1, 4, 1}
{7, 7, 8, 8, 0, 7, 4, 4, 4, 1}
{7, 7, 8, 8, 0, 1, 4, 13, 1, 1}
{7, 7, 8, 8, 0, 1, 4, 1, 13, 1}
{7, 7, 8, 5, 0, 8, 2, 11, 1, 1}
{7, 7, 8, 5, 0, 8, 2, 1, 11, 1}
{7, 7, 8, 4, 0, 17, 2, 2, 2, 1}
{7, 7, 8, 4, 0, 9, 6, 4, 4, 1}
{7, 7, 8, 4, 0, 1, 4, 17, 1, 1}
{7, 7, 8, 4, 0, 1, 4, 1, 17, 1}
{7, 7, 8, 2, 0, 14, 5, 4, 2, 1}
{7, 7, 8, 2, 0, 14, 5, 2, 4, 1}
{7, 7, 8, 2, 0, 2, 17, 4, 2, 1}
{7, 7, 8, 2, 0, 2, 17, 2, 4, 1}
{7, 7, 8, 2, 0, 2, 1, 20, 2, 1}
{7, 7, 8, 2, 0, 2, 1, 2, 20, 1}
{7, 7, 7, 7, 0, 10, 3, 4, 4, 1}
{7, 7, 7, 7, 0, 6, 7, 4, 4, 1}
{7, 7, 7, 4, 0, 17, 2, 3, 2, 1}
{7, 7, 7, 4, 0, 17, 2, 2, 3, 1}
{7, 7, 7, 3, 0, 20, 3, 1, 1, 1}
{7, 7, 7, 3, 0, 5, 3, 16, 1, 1}
{7, 7, 7, 3, 0, 5, 3, 1, 16, 1}
{7, 7, 7, 2, 0, 15, 3, 6, 2, 1}
{7, 7, 7, 2, 0, 15, 3, 2, 6, 1}
{7, 7, 7, 2, 0, 2, 17, 4, 3, 1}
{7, 7, 7, 2, 0, 2, 17, 3, 4, 1}
{7, 7, 7, 2, 0, 2, 8, 14, 2, 1}
{7, 7, 7, 2, 0, 2, 8, 2, 14, 1}
{7, 7, 7, 2, 0, 2, 3, 19, 2, 1}
{7, 7, 7, 2, 0, 2, 3, 2, 19, 1}
{7, 7, 7, 1, 0, 11, 5, 9, 2, 1}
{7, 7, 7, 1, 0, 11, 5, 2, 9, 1}
{7, 7, 7, 1, 0, 2, 9, 12, 4, 1}
{7, 7, 7, 1, 0, 2, 9, 4, 12, 1}
{7, 7, 6, 6, 0, 3, 10, 5, 5, 1}
{7, 7, 6, 4, 0, 17, 2, 4, 2, 1}
{7, 7, 6, 4, 0, 17, 2, 2, 4, 1}
{7, 7, 6, 2, 0, 12, 9, 4, 2, 1}
{7, 7, 6, 2, 0, 12, 9, 2, 4, 1}
{7, 7, 6, 2, 0, 6, 15, 4, 2, 1}
{7, 7, 6, 2, 0, 6, 15, 2, 4, 1}
{7, 7, 6, 2, 0, 3, 15, 7, 2, 1}
{7, 7, 6, 2, 0, 3, 15, 2, 7, 1}
{7, 7, 5, 20, 0, 1, 2, 5, 2, 1}
{7, 7, 5, 20, 0, 1, 2, 2, 5, 1}
{7, 7, 5, 10, 0, 1, 4, 14, 1, 1}
{7, 7, 5, 10, 0, 1, 4, 1, 14, 1}
{7, 7, 5, 8, 0, 8, 2, 11, 1, 1}
{7, 7, 5, 8, 0, 8, 2, 1, 11, 1}
{7, 7, 5, 5, 0, 10, 7, 4, 4, 1}
{7, 7, 5, 5, 0, 10, 3, 6, 6, 1}
{7, 7, 5, 5, 0, 1, 4, 19, 1, 1}
{7, 7, 5, 5, 0, 1, 4, 1, 19, 1}
{7, 7, 5, 4, 0, 17, 2, 5, 2, 1}
{7, 7, 5, 4, 0, 17, 2, 2, 5, 1}
{7, 7, 5, 2, 0, 2, 17, 5, 4, 1}
{7, 7, 5, 2, 0, 2, 17, 4, 5, 1}
{7, 7, 5, 2, 0, 2, 1, 20, 5, 1}
{7, 7, 5, 2, 0, 2, 1, 5, 20, 1}
{7, 7, 4, 20, 0, 3, 2, 4, 2, 1}
{7, 7, 4, 20, 0, 3, 2, 2, 4, 1}
{7, 7, 4, 12, 0, 9, 2, 7, 1, 1}
{7, 7, 4, 12, 0, 9, 2, 1, 7, 1}
{7, 7, 4, 9, 0, 17, 2, 2, 1, 1}
{7, 7, 4, 9, 0, 17, 2, 1, 2, 1}
{7, 7, 4, 8, 0, 17, 2, 2, 2, 1}
{7, 7, 4, 8, 0, 9, 6, 4, 4, 1}
{7, 7, 4, 8, 0, 1, 4, 17, 1, 1}
{7, 7, 4, 8, 0, 1, 4, 1, 17, 1}
{7, 7, 4, 7, 0, 17, 2, 3, 2, 1}
{7, 7, 4, 7, 0, 17, 2, 2, 3, 1}
{7, 7, 4, 6, 0, 17, 2, 4, 2, 1}
{7, 7, 4, 6, 0, 17, 2, 2, 4, 1}
{7, 7, 4, 5, 0, 17, 2, 5, 2, 1}
{7, 7, 4, 5, 0, 17, 2, 2, 5, 1}
{7, 7, 4, 4, 0, 7, 10, 5, 5, 1}
{7, 7, 4, 4, 0, 7, 6, 7, 7, 1}
{7, 7, 4, 4, 0, 6, 9, 8, 4, 1}
{7, 7, 4, 4, 0, 6, 9, 4, 8, 1}
{7, 7, 4, 4, 0, 4, 7, 8, 8, 1}
{7, 7, 4, 4, 0, 3, 10, 7, 7, 1}
{7, 7, 4, 3, 0, 17, 2, 7, 2, 1}
{7, 7, 4, 3, 0, 17, 2, 2, 7, 1}
{7, 7, 4, 3, 0, 5, 6, 16, 1, 1}
{7, 7, 4, 3, 0, 5, 6, 1, 16, 1}
{7, 7, 4, 3, 0, 2, 6, 19, 1, 1}
{7, 7, 4, 3, 0, 2, 6, 1, 19, 1}
{7, 7, 4, 2, 0, 17, 2, 8, 2, 1}
{7, 7, 4, 2, 0, 17, 2, 2, 8, 1}
{7, 7, 4, 2, 0, 15, 6, 6, 2, 1}
{7, 7, 4, 2, 0, 15, 6, 2, 6, 1}
{7, 7, 4, 2, 0, 9, 12, 6, 2, 1}
{7, 7, 4, 2, 0, 9, 12, 2, 6, 1}
{7, 7, 4, 2, 0, 5, 14, 8, 2, 1}
{7, 7, 4, 2, 0, 5, 14, 2, 8, 1}
{7, 7, 4, 2, 0, 2, 17, 6, 4, 1}
{7, 7, 4, 2, 0, 2, 17, 4, 6, 1}
{7, 7, 4, 2, 0, 2, 3, 20, 4, 1}
{7, 7, 4, 2, 0, 2, 3, 4, 20, 1}
{7, 7, 4, 1, 0, 17, 2, 9, 2, 1}
{7, 7, 4, 1, 0, 17, 2, 2, 9, 1}
{7, 7, 3, 24, 0, 3, 3, 1, 1, 1}
{7, 7, 3, 7, 0, 20, 3, 1, 1, 1}
{7, 7, 3, 7, 0, 5, 3, 16, 1, 1}
{7, 7, 3, 7, 0, 5, 3, 1, 16, 1}
{7, 7, 3, 4, 0, 17, 2, 7, 2, 1}
{7, 7, 3, 4, 0, 17, 2, 2, 7, 1}
{7, 7, 3, 4, 0, 5, 6, 16, 1, 1}
{7, 7, 3, 4, 0, 5, 6, 1, 16, 1}
{7, 7, 3, 4, 0, 2, 6, 19, 1, 1}
{7, 7, 3, 4, 0, 2, 6, 1, 19, 1}
{7, 7, 3, 2, 0, 2, 17, 7, 4, 1}
{7, 7, 3, 2, 0, 2, 17, 4, 7, 1}
{7, 7, 3, 1, 0, 3, 2, 13, 13, 1}
{7, 7, 2, 20, 0, 1, 2, 8, 2, 1}
{7, 7, 2, 20, 0, 1, 2, 2, 8, 1}
{7, 7, 2, 19, 0, 3, 2, 7, 2, 1}
{7, 7, 2, 19, 0, 3, 2, 2, 7, 1}
{7, 7, 2, 14, 0, 8, 2, 7, 2, 1}
{7, 7, 2, 14, 0, 8, 2, 2, 7, 1}
{7, 7, 2, 14, 0, 5, 1, 11, 2, 1}
{7, 7, 2, 14, 0, 5, 1, 2, 11, 1}
{7, 7, 2, 14, 0, 2, 1, 14, 2, 1}
{7, 7, 2, 14, 0, 2, 1, 2, 14, 1}
{7, 7, 2, 14, 0, 1, 2, 14, 2, 1}
{7, 7, 2, 14, 0, 1, 2, 2, 14, 1}
{7, 7, 2, 11, 0, 1, 5, 14, 2, 1}
{7, 7, 2, 11, 0, 1, 5, 2, 14, 1}
{7, 7, 2, 9, 0, 5, 11, 7, 1, 1}
{7, 7, 2, 9, 0, 5, 11, 1, 7, 1}
{7, 7, 2, 9, 0, 2, 17, 4, 1, 1}
{7, 7, 2, 9, 0, 2, 17, 1, 4, 1}
{7, 7, 2, 8, 0, 14, 5, 4, 2, 1}
{7, 7, 2, 8, 0, 14, 5, 2, 4, 1}
{7, 7, 2, 8, 0, 2, 17, 4, 2, 1}
{7, 7, 2, 8, 0, 2, 17, 2, 4, 1}
{7, 7, 2, 8, 0, 2, 1, 20, 2, 1}
{7, 7, 2, 8, 0, 2, 1, 2, 20, 1}
{7, 7, 2, 7, 0, 15, 3, 6, 2, 1}
{7, 7, 2, 7, 0, 15, 3, 2, 6, 1}
{7, 7, 2, 7, 0, 2, 17, 4, 3, 1}
{7, 7, 2, 7, 0, 2, 17, 3, 4, 1}
{7, 7, 2, 7, 0, 2, 8, 14, 2, 1}
{7, 7, 2, 7, 0, 2, 8, 2, 14, 1}
{7, 7, 2, 7, 0, 2, 3, 19, 2, 1}
{7, 7, 2, 7, 0, 2, 3, 2, 19, 1}
{7, 7, 2, 6, 0, 12, 9, 4, 2, 1}
{7, 7, 2, 6, 0, 12, 9, 2, 4, 1}
{7, 7, 2, 6, 0, 6, 15, 4, 2, 1}
{7, 7, 2, 6, 0, 6, 15, 2, 4, 1}
{7, 7, 2, 6, 0, 3, 15, 7, 2, 1}
{7, 7, 2, 6, 0, 3, 15, 2, 7, 1}
{7, 7, 2, 5, 0, 2, 17, 5, 4, 1}
{7, 7, 2, 5, 0, 2, 17, 4, 5, 1}
{7, 7, 2, 5, 0, 2, 1, 20, 5, 1}
{7, 7, 2, 5, 0, 2, 1, 5, 20, 1}
{7, 7, 2, 4, 0, 17, 2, 8, 2, 1}
{7, 7, 2, 4, 0, 17, 2, 2, 8, 1}
{7, 7, 2, 4, 0, 15, 6, 6, 2, 1}
{7, 7, 2, 4, 0, 15, 6, 2, 6, 1}
{7, 7, 2, 4, 0, 9, 12, 6, 2, 1}
{7, 7, 2, 4, 0, 9, 12, 2, 6, 1}
{7, 7, 2, 4, 0, 5, 14, 8, 2, 1}
{7, 7, 2, 4, 0, 5, 14, 2, 8, 1}
{7, 7, 2, 4, 0, 2, 17, 6, 4, 1}
{7, 7, 2, 4, 0, 2, 17, 4, 6, 1}
{7, 7, 2, 4, 0, 2, 3, 20, 4, 1}
{7, 7, 2, 4, 0, 2, 3, 4, 20, 1}
{7, 7, 2, 3, 0, 2, 17, 7, 4, 1}
{7, 7, 2, 3, 0, 2, 17, 4, 7, 1}
{7, 7, 2, 2, 0, 2, 17, 8, 4, 1}
{7, 7, 2, 2, 0, 2, 17, 4, 8, 1}
{7, 7, 2, 1, 0, 2, 17, 9, 4, 1}
{7, 7, 2, 1, 0, 2, 17, 4, 9, 1}
{7, 7, 1, 19, 0, 6, 2, 4, 3, 1}
{7, 7, 1, 19, 0, 6, 2, 3, 4, 1}
{7, 7, 1, 19, 0, 4, 1, 5, 5, 1}
{7, 7, 1, 17, 0, 4, 1, 8, 4, 1}
{7, 7, 1, 17, 0, 4, 1, 4, 8, 1}
{7, 7, 1, 16, 0, 6, 5, 4, 3, 1}
{7, 7, 1, 16, 0, 6, 5, 3, 4, 1}
{7, 7, 1, 16, 0, 3, 5, 7, 3, 1}
{7, 7, 1, 16, 0, 3, 5, 3, 7, 1}
{7, 7, 1, 14, 0, 4, 1, 10, 5, 1}
{7, 7, 1, 14, 0, 4, 1, 5, 10, 1}
{7, 7, 1, 13, 0, 4, 1, 8, 8, 1}
{7, 7, 1, 11, 0, 2, 8, 8, 5, 1}
{7, 7, 1, 11, 0, 2, 8, 5, 8, 1}
{7, 7, 1, 7, 0, 11, 5, 9, 2, 1}
{7, 7, 1, 7, 0, 11, 5, 2, 9, 1}
{7, 7, 1, 7, 0, 2, 9, 12, 4, 1}
{7, 7, 1, 7, 0, 2, 9, 4, 12, 1}
{7, 7, 1, 4, 0, 17, 2, 9, 2, 1}
{7, 7, 1, 4, 0, 17, 2, 2, 9, 1}
{7, 7, 1, 3, 0, 3, 2, 13, 13, 1}
{7, 7, 1, 2, 0, 2, 17, 9, 4, 1}
{7, 7, 1, 2, 0, 2, 17, 4, 9, 1}
{7, 7, 1, 1, 0, 3, 20, 7, 3, 1}
{7, 7, 1, 1, 0, 3, 20, 3, 7, 1}
{7, 7, 1, 1, 0, 3, 3, 24, 3, 1}
{7, 7, 1, 1, 0, 3, 3, 3, 24, 1}
{7, 6, 22, 2, 0, 3, 1, 4, 4, 1}
{7, 6, 17, 6, 0, 6, 2, 4, 1, 1}
{7, 6, 17, 6, 0, 6, 2, 1, 4, 1}
{7, 6, 13, 13, 0, 1, 3, 4, 2, 1}
{7, 6, 13, 13, 0, 1, 3, 2, 4, 1}
{7, 6, 12, 2, 0, 3, 11, 4, 4, 1}
{7, 6, 6, 17, 0, 6, 2, 4, 1, 1}
{7, 6, 6, 17, 0, 6, 2, 1, 4, 1}
{7, 6, 4, 4, 0, 11, 3, 12, 2, 1}
{7, 6, 4, 4, 0, 11, 3, 2, 12, 1}
{7, 6, 4, 4, 0, 1, 3, 22, 2, 1}
{7, 6, 4, 4, 0, 1, 3, 2, 22, 1}
{7, 6, 4, 2, 0, 3, 1, 13, 13, 1}
{7, 6, 4, 1, 0, 2, 6, 17, 6, 1}
{7, 6, 4, 1, 0, 2, 6, 6, 17, 1}
{7, 6, 2, 22, 0, 3, 1, 4, 4, 1}
{7, 6, 2, 12, 0, 3, 11, 4, 4, 1}
{7, 6, 2, 4, 0, 3, 1, 13, 13, 1}
{7, 6, 1, 4, 0, 2, 6, 17, 6, 1}
{7, 6, 1, 4, 0, 2, 6, 6, 17, 1}
{7, 5, 18, 6, 0, 2, 3, 6, 2, 1}
{7, 5, 18, 6, 0, 2, 3, 2, 6, 1}
{7, 5, 18, 3, 0, 3, 4, 6, 3, 1}
{7, 5, 18, 3, 0, 3, 4, 3, 6, 1}
{7, 5, 15, 5, 0, 6, 2, 6, 3, 1}
{7, 5, 15, 5, 0, 6, 2, 3, 6, 1}
{7, 5, 14, 3, 0, 4, 1, 12, 3, 1}
{7, 5, 14, 3, 0, 4, 1, 3, 12, 1}
{7, 5, 13, 13, 0, 2, 3, 4, 2, 1}
{7, 5, 13, 13, 0, 2, 3, 2, 4, 1}
{7, 5, 13, 3, 0, 6, 2, 10, 3, 1}
{7, 5, 13, 3, 0, 6, 2, 3, 10, 1}
{7, 5, 12, 3, 0, 1, 4, 14, 3, 1}
{7, 5, 12, 3, 0, 1, 4, 3, 14, 1}
{7, 5, 10, 3, 0, 9, 6, 6, 3, 1}
{7, 5, 10, 3, 0, 9, 6, 3, 6, 1}
{7, 5, 10, 3, 0, 2, 6, 13, 3, 1}
{7, 5, 10, 3, 0, 2, 6, 3, 13, 1}
{7, 5, 7, 7, 0, 14, 2, 4, 3, 1}
{7, 5, 7, 7, 0, 14, 2, 3, 4, 1}
{7, 5, 7, 7, 0, 12, 2, 6, 3, 1}
{7, 5, 7, 7, 0, 12, 2, 3, 6, 1}
{7, 5, 6, 18, 0, 2, 3, 6, 2, 1}
{7, 5, 6, 18, 0, 2, 3, 2, 6, 1}
{7, 5, 6, 3, 0, 6, 9, 10, 3, 1}
{7, 5, 6, 3, 0, 6, 9, 3, 10, 1}
{7, 5, 6, 3, 0, 4, 3, 18, 3, 1}
{7, 5, 6, 3, 0, 4, 3, 3, 18, 1}
{7, 5, 6, 3, 0, 2, 12, 7, 7, 1}
{7, 5, 6, 3, 0, 2, 6, 15, 5, 1}
{7, 5, 6, 3, 0, 2, 6, 5, 15, 1}
{7, 5, 6, 2, 0, 3, 2, 18, 6, 1}
{7, 5, 6, 2, 0, 3, 2, 6, 18, 1}
{7, 5, 5, 15, 0, 6, 2, 6, 3, 1}
{7, 5, 5, 15, 0, 6, 2, 3, 6, 1}
{7, 5, 4, 3, 0, 2, 14, 7, 7, 1}
{7, 5, 4, 2, 0, 3, 2, 13, 13, 1}
{7, 5, 3, 18, 0, 3, 4, 6, 3, 1}
{7, 5, 3, 18, 0, 3, 4, 3, 6, 1}
{7, 5, 3, 14, 0, 4, 1, 12, 3, 1}
{7, 5, 3, 14, 0, 4, 1, 3, 12, 1}
{7, 5, 3, 13, 0, 6, 2, 10, 3, 1}
{7, 5, 3, 13, 0, 6, 2, 3, 10, 1}
{7, 5, 3, 12, 0, 1, 4, 14, 3, 1}
{7, 5, 3, 12, 0, 1, 4, 3, 14, 1}
{7, 5, 3, 10, 0, 9, 6, 6, 3, 1}
{7, 5, 3, 10, 0, 9, 6, 3, 6, 1}
{7, 5, 3, 10, 0, 2, 6, 13, 3, 1}
{7, 5, 3, 10, 0, 2, 6, 3, 13, 1}
{7, 5, 3, 6, 0, 6, 9, 10, 3, 1}
{7, 5, 3, 6, 0, 6, 9, 3, 10, 1}
{7, 5, 3, 6, 0, 4, 3, 18, 3, 1}
{7, 5, 3, 6, 0, 4, 3, 3, 18, 1}
{7, 5, 3, 6, 0, 2, 12, 7, 7, 1}
{7, 5, 3, 6, 0, 2, 6, 15, 5, 1}
{7, 5, 3, 6, 0, 2, 6, 5, 15, 1}
{7, 5, 3, 4, 0, 2, 14, 7, 7, 1}
{7, 5, 2, 6, 0, 3, 2, 18, 6, 1}
{7, 5, 2, 6, 0, 3, 2, 6, 18, 1}
{7, 5, 2, 4, 0, 3, 2, 13, 13, 1}
{7, 4, 18, 4, 0, 3, 5, 4, 4, 1}
{7, 4, 15, 4, 0, 2, 8, 6, 3, 1}
{7, 4, 15, 4, 0, 2, 8, 3, 6, 1}
{7, 4, 14, 10, 0, 3, 3, 4, 4, 1}
{7, 4, 13, 13, 0, 3, 3, 4, 2, 1}
{7, 4, 13, 13, 0, 3, 3, 2, 4, 1}
{7, 4, 13, 11, 0, 3, 3, 5, 3, 1}
{7, 4, 13, 11, 0, 3, 3, 3, 5, 1}
{7, 4, 12, 6, 0, 2, 2, 8, 8, 1}
{7, 4, 11, 13, 0, 3, 3, 5, 3, 1}
{7, 4, 11, 13, 0, 3, 3, 3, 5, 1}
{7, 4, 11, 11, 0, 1, 13, 1, 1, 1}
{7, 4, 11, 11, 0, 1, 11, 2, 2, 1}
{7, 4, 11, 11, 0, 1, 9, 3, 3, 1}
{7, 4, 11, 11, 0, 1, 7, 4, 4, 1}
{7, 4, 11, 11, 0, 1, 5, 5, 5, 1}
{7, 4, 11, 11, 0, 1, 3, 6, 6, 1}
{7, 4, 11, 11, 0, 1, 1, 7, 7, 1}
{7, 4, 10, 14, 0, 3, 3, 4, 4, 1}
{7, 4, 10, 10, 0, 3, 1, 7, 7, 1}
{7, 4, 10, 6, 0, 6, 2, 7, 7, 1}
{7, 4, 10, 4, 0, 13, 3, 4, 4, 1}
{7, 4, 10, 4, 0, 7, 1, 8, 8, 1}
{7, 4, 8, 8, 0, 7, 1, 7, 7, 1}
{7, 4, 8, 8, 0, 2, 2, 12, 6, 1}
{7, 4, 8, 8, 0, 2, 2, 6, 12, 1}
{7, 4, 8, 8, 0, 1, 7, 10, 4, 1}
{7, 4, 8, 8, 0, 1, 7, 4, 10, 1}
{7, 4, 7, 7, 0, 9, 1, 7, 7, 1}
{7, 4, 7, 7, 0, 2, 6, 10, 6, 1}
{7, 4, 7, 7, 0, 2, 6, 6, 10, 1}
{7, 4, 7, 7, 0, 1, 21, 1, 1, 1}
{7, 4, 7, 7, 0, 1, 19, 2, 2, 1}
{7, 4, 7, 7, 0, 1, 17, 3, 3, 1}
{7, 4, 7, 7, 0, 1, 15, 4, 4, 1}
{7, 4, 7, 7, 0, 1, 13, 5, 5, 1}
{7, 4, 7, 7, 0, 1, 11, 6, 6, 1}
{7, 4, 7, 7, 0, 1, 9, 7, 7, 1}
{7, 4, 7, 7, 0, 1, 7, 8, 8, 1}
{7, 4, 7, 7, 0, 1, 3, 10, 10, 1}
{7, 4, 7, 7, 0, 1, 1, 11, 11, 1}
{7, 4, 7, 4, 0, 8, 14, 3, 2, 1}
{7, 4, 7, 4, 0, 8, 14, 2, 3, 1}
{7, 4, 6, 12, 0, 2, 2, 8, 8, 1}
{7, 4, 6, 10, 0, 6, 2, 7, 7, 1}
{7, 4, 6, 6, 0, 11, 1, 7, 7, 1}
{7, 4, 6, 6, 0, 3, 1, 11, 11, 1}
{7, 4, 6, 3, 0, 8, 2, 15, 4, 1}
{7, 4, 6, 3, 0, 8, 2, 4, 15, 1}
{7, 4, 5, 5, 0, 13, 9, 3, 3, 1}
{7, 4, 5, 5, 0, 13, 1, 7, 7, 1}
{7, 4, 5, 5, 0, 5, 17, 3, 3, 1}
{7, 4, 5, 5, 0, 5, 1, 11, 11, 1}
{7, 4, 5, 3, 0, 3, 3, 13, 11, 1}
{7, 4, 5, 3, 0, 3, 3, 11, 13, 1}
{7, 4, 4, 18, 0, 3, 5, 4, 4, 1}
{7, 4, 4, 15, 0, 2, 8, 6, 3, 1}
{7, 4, 4, 15, 0, 2, 8, 3, 6, 1}
{7, 4, 4, 10, 0, 13, 3, 4, 4, 1}
{7, 4, 4, 10, 0, 7, 1, 8, 8, 1}
{7, 4, 4, 7, 0, 8, 14, 3, 2, 1}
{7, 4, 4, 7, 0, 8, 14, 2, 3, 1}
{7, 4, 4, 4, 0, 15, 1, 7, 7, 1}
{7, 4, 4, 4, 0, 7, 1, 11, 11, 1}
{7, 4, 4, 4, 0, 5, 3, 18, 4, 1}
{7, 4, 4, 4, 0, 5, 3, 4, 18, 1}
{7, 4, 4, 4, 0, 3, 13, 10, 4, 1}
{7, 4, 4, 4, 0, 3, 13, 4, 10, 1}
{7, 4, 4, 4, 0, 3, 3, 14, 10, 1}
{7, 4, 4, 4, 0, 3, 3, 10, 14, 1}
{7, 4, 4, 2, 0, 3, 3, 13, 13, 1}
{7, 4, 3, 6, 0, 8, 2, 15, 4, 1}
{7, 4, 3, 6, 0, 8, 2, 4, 15, 1}
{7, 4, 3, 5, 0, 3, 3, 13, 11, 1}
{7, 4, 3, 5, 0, 3, 3, 11, 13, 1}
{7, 4, 3, 3, 0, 17, 5, 5, 5, 1}
{7, 4, 3, 3, 0, 17, 1, 7, 7, 1}
{7, 4, 3, 3, 0, 9, 13, 5, 5, 1}
{7, 4, 3, 3, 0, 9, 1, 11, 11, 1}
{7, 4, 3, 2, 0, 14, 8, 7, 4, 1}
{7, 4, 3, 2, 0, 14, 8, 4, 7, 1}
{7, 4, 2, 4, 0, 3, 3, 13, 13, 1}
{7, 4, 2, 3, 0, 14, 8, 7, 4, 1}
{7, 4, 2, 3, 0, 14, 8, 4, 7, 1}
{7, 4, 2, 2, 0, 19, 1, 7, 7, 1}
{7, 4, 2, 2, 0, 11, 1, 11, 11, 1}
{7, 4, 1, 1, 0, 21, 1, 7, 7, 1}
{7, 4, 1, 1, 0, 13, 1, 11, 11, 1}
{7, 3, 20, 10, 0, 3, 4, 1, 1, 1}
{7, 3, 15, 9, 0, 11, 2, 1, 1, 1}
{7, 3, 13, 13, 0, 4, 3, 4, 2, 1}
{7, 3, 13, 13, 0, 4, 3, 2, 4, 1}
{7, 3, 11, 11, 0, 2, 8, 5, 2, 1}
{7, 3, 11, 11, 0, 2, 8, 2, 5, 1}
{7, 3, 10, 20, 0, 3, 4, 1, 1, 1}
{7, 3, 9, 15, 0, 11, 2, 1, 1, 1}
{7, 3, 9, 2, 0, 12, 4, 7, 5, 1}
{7, 3, 9, 2, 0, 12, 4, 5, 7, 1}
{7, 3, 8, 1, 0, 12, 4, 7, 7, 1}
{7, 3, 7, 7, 0, 4, 12, 8, 1, 1}
{7, 3, 7, 7, 0, 4, 12, 1, 8, 1}
{7, 3, 7, 5, 0, 4, 12, 9, 2, 1}
{7, 3, 7, 5, 0, 4, 12, 2, 9, 1}
{7, 3, 5, 7, 0, 4, 12, 9, 2, 1}
{7, 3, 5, 7, 0, 4, 12, 2, 9, 1}
{7, 3, 5, 2, 0, 8, 2, 11, 11, 1}
{7, 3, 4, 2, 0, 3, 4, 13, 13, 1}
{7, 3, 2, 9, 0, 12, 4, 7, 5, 1}
{7, 3, 2, 9, 0, 12, 4, 5, 7, 1}
{7, 3, 2, 5, 0, 8, 2, 11, 11, 1}
{7, 3, 2, 4, 0, 3, 4, 13, 13, 1}
{7, 3, 1, 8, 0, 12, 4, 7, 7, 1}
{7, 3, 1, 1, 0, 4, 3, 20, 10, 1}
{7, 3, 1, 1, 0, 4, 3, 10, 20, 1}
{7, 3, 1, 1, 0, 2, 11, 15, 9, 1}
{7, 3, 1, 1, 0, 2, 11, 9, 15, 1}
{7, 2, 16, 6, 0, 3, 5, 5, 5, 1}
{7, 2, 13, 13, 0, 7, 3, 3, 1, 1}
{7, 2, 13, 13, 0, 7, 3, 1, 3, 1}
{7, 2, 13, 13, 0, 5, 3, 4, 2, 1}
{7, 2, 13, 13, 0, 5, 3, 2, 4, 1}
{7, 2, 12, 12, 0, 5, 3, 6, 2, 1}
{7, 2, 12, 12, 0, 5, 3, 2, 6, 1}
{7, 2, 7, 7, 0, 15, 3, 6, 2, 1}
{7, 2, 7, 7, 0, 15, 3, 2, 6, 1}
{7, 2, 7, 7, 0, 5, 15, 4, 2, 1}
{7, 2, 7, 7, 0, 5, 15, 2, 4, 1}
{7, 2, 6, 16, 0, 3, 5, 5, 5, 1}
{7, 2, 6, 2, 0, 3, 15, 7, 7, 1}
{7, 2, 6, 2, 0, 3, 5, 12, 12, 1}
{7, 2, 5, 5, 0, 5, 3, 16, 6, 1}
{7, 2, 5, 5, 0, 5, 3, 6, 16, 1}
{7, 2, 4, 2, 0, 15, 5, 7, 7, 1}
{7, 2, 4, 2, 0, 3, 5, 13, 13, 1}
{7, 2, 3, 1, 0, 3, 7, 13, 13, 1}
{7, 2, 2, 6, 0, 3, 15, 7, 7, 1}
{7, 2, 2, 6, 0, 3, 5, 12, 12, 1}
{7, 2, 2, 4, 0, 15, 5, 7, 7, 1}
{7, 2, 2, 4, 0, 3, 5, 13, 13, 1}
{7, 2, 1, 3, 0, 3, 7, 13, 13, 1}
{7, 1, 13, 13, 0, 6, 3, 4, 2, 1}
{7, 1, 13, 13, 0, 6, 3, 2, 4, 1}
{7, 1, 4, 2, 0, 3, 6, 13, 13, 1}
{7, 1, 2, 4, 0, 3, 6, 13, 13, 1}
{6, 30, 3, 3, 0, 2, 3, 1, 1, 1}
{6, 30, 1, 1, 0, 3, 2, 3, 3, 1}
{6, 24, 2, 2, 0, 5, 7, 2, 1, 1}
{6, 24, 2, 2, 0, 5, 7, 1, 2, 1}
{6, 24, 2, 1, 0, 7, 5, 2, 2, 1}
{6, 24, 1, 2, 0, 7, 5, 2, 2, 1}
{6, 22, 7, 1, 0, 6, 3, 2, 2, 1}
{6, 22, 2, 2, 0, 3, 6, 7, 1, 1}
{6, 22, 2, 2, 0, 3, 6, 1, 7, 1}
{6, 22, 1, 7, 0, 6, 3, 2, 2, 1}
{6, 21, 9, 1, 0, 3, 1, 4, 4, 1}
{6, 21, 6, 3, 0, 6, 2, 4, 1, 1}
{6, 21, 6, 3, 0, 6, 2, 1, 4, 1}
{6, 21, 5, 5, 0, 4, 2, 5, 1, 1}
{6, 21, 5, 5, 0, 4, 2, 1, 5, 1}
{6, 21, 5, 1, 0, 2, 4, 5, 5, 1}
{6, 21, 4, 4, 0, 1, 3, 9, 1, 1}
{6, 21, 4, 4, 0, 1, 3, 1, 9, 1}
{6, 21, 4, 1, 0, 2, 6, 6, 3, 1}
{6, 21, 4, 1, 0, 2, 6, 3, 6, 1}
{6, 21, 3, 6, 0, 6, 2, 4, 1, 1}
{6, 21, 3, 6, 0, 6, 2, 1, 4, 1}
{6, 21, 1, 9, 0, 3, 1, 4, 4, 1}
{6, 21, 1, 5, 0, 2, 4, 5, 5, 1}
{6, 21, 1, 4, 0, 2, 6, 6, 3, 1}
{6, 21, 1, 4, 0, 2, 6, 3, 6, 1}
{6, 18, 15, 3, 0, 2, 3, 1, 1, 1}
{6, 18, 14, 2, 0, 1, 1, 5, 2, 1}
{6, 18, 14, 2, 0, 1, 1, 2, 5, 1}
{6, 18, 14, 1, 0, 3, 2, 3, 2, 1}
{6, 18, 14, 1, 0, 3, 2, 2, 3, 1}
{6, 18, 11, 4, 0, 5, 2, 2, 1, 1}
{6, 18, 11, 4, 0, 5, 2, 1, 2, 1}
{6, 18, 11, 1, 0, 3, 1, 6, 3, 1}
{6, 18, 11, 1, 0, 3, 1, 3, 6, 1}
{6, 18, 10, 1, 0, 3, 1, 5, 5, 1}
{6, 18, 9, 1, 0, 2, 5, 4, 4, 1}
{6, 18, 8, 1, 0, 3, 8, 3, 2, 1}
{6, 18, 8, 1, 0, 3, 8, 2, 3, 1}
{6, 18, 7, 3, 0, 5, 2, 7, 1, 1}
{6, 18, 7, 3, 0, 5, 2, 1, 7, 1}
{6, 18, 7, 1, 0, 2, 5, 7, 3, 1}
{6, 18, 7, 1, 0, 2, 5, 3, 7, 1}
{6, 18, 6, 3, 0, 1, 3, 11, 1, 1}
{6, 18, 6, 3, 0, 1, 3, 1, 11, 1}
{6, 18, 5, 5, 0, 1, 3, 10, 1, 1}
{6, 18, 5, 5, 0, 1, 3, 1, 10, 1}
{6, 18, 5, 2, 0, 1, 1, 14, 2, 1}
{6, 18, 5, 2, 0, 1, 1, 2, 14, 1}
{6, 18, 4, 11, 0, 5, 2, 2, 1, 1}
{6, 18, 4, 11, 0, 5, 2, 1, 2, 1}
{6, 18, 4, 4, 0, 11, 2, 3, 1, 1}
{6, 18, 4, 4, 0, 11, 2, 1, 3, 1}
{6, 18, 4, 4, 0, 5, 2, 9, 1, 1}
{6, 18, 4, 4, 0, 5, 2, 1, 9, 1}
{6, 18, 3, 15, 0, 2, 3, 1, 1, 1}
{6, 18, 3, 7, 0, 5, 2, 7, 1, 1}
{6, 18, 3, 7, 0, 5, 2, 1, 7, 1}
{6, 18, 3, 6, 0, 1, 3, 11, 1, 1}
{6, 18, 3, 6, 0, 1, 3, 1, 11, 1}
{6, 18, 3, 2, 0, 8, 3, 8, 1, 1}
{6, 18, 3, 2, 0, 8, 3, 1, 8, 1}
{6, 18, 3, 2, 0, 2, 15, 2, 1, 1}
{6, 18, 3, 2, 0, 2, 15, 1, 2, 1}
{6, 18, 3, 2, 0, 2, 3, 14, 1, 1}
{6, 18, 3, 2, 0, 2, 3, 1, 14, 1}
{6, 18, 3, 1, 0, 2, 11, 4, 4, 1}
{6, 18, 2, 14, 0, 1, 1, 5, 2, 1}
{6, 18, 2, 14, 0, 1, 1, 2, 5, 1}
{6, 18, 2, 5, 0, 1, 1, 14, 2, 1}
{6, 18, 2, 5, 0, 1, 1, 2, 14, 1}
{6, 18, 2, 3, 0, 8, 3, 8, 1, 1}
{6, 18, 2, 3, 0, 8, 3, 1, 8, 1}
{6, 18, 2, 3, 0, 2, 15, 2, 1, 1}
{6, 18, 2, 3, 0, 2, 15, 1, 2, 1}
{6, 18, 2, 3, 0, 2, 3, 14, 1, 1}
{6, 18, 2, 3, 0, 2, 3, 1, 14, 1}
{6, 18, 2, 1, 0, 15, 2, 3, 2, 1}
{6, 18, 2, 1, 0, 15, 2, 2, 3, 1}
{6, 18, 2, 1, 0, 2, 5, 11, 4, 1}
{6, 18, 2, 1, 0, 2, 5, 4, 11, 1}
{6, 18, 1, 14, 0, 3, 2, 3, 2, 1}
{6, 18, 1, 14, 0, 3, 2, 2, 3, 1}
{6, 18, 1, 11, 0, 3, 1, 6, 3, 1}
{6, 18, 1, 11, 0, 3, 1, 3, 6, 1}
{6, 18, 1, 10, 0, 3, 1, 5, 5, 1}
{6, 18, 1, 9, 0, 2, 5, 4, 4, 1}
{6, 18, 1, 8, 0, 3, 8, 3, 2, 1}
{6, 18, 1, 8, 0, 3, 8, 2, 3, 1}
{6, 18, 1, 7, 0, 2, 5, 7, 3, 1}
{6, 18, 1, 7, 0, 2, 5, 3, 7, 1}
{6, 18, 1, 3, 0, 2, 11, 4, 4, 1}
{6, 18, 1, 2, 0, 15, 2, 3, 2, 1}
{6, 18, 1, 2, 0, 15, 2, 2, 3, 1}
{6, 18, 1, 2, 0, 2, 5, 11, 4, 1}
{6, 18, 1, 2, 0, 2, 5, 4, 11, 1}
{6, 18, 1, 1, 0, 3, 2, 15, 3, 1}
{6, 18, 1, 1, 0, 3, 2, 3, 15, 1}
{6, 16, 15, 3, 0, 1, 1, 5, 2, 1}
{6, 16, 15, 3, 0, 1, 1, 2, 5, 1}
{6, 16, 14, 1, 0, 3, 1, 4, 4, 1}
{6, 16, 5, 2, 0, 1, 1, 15, 3, 1}
{6, 16, 5, 2, 0, 1, 1, 3, 15, 1}
{6, 16, 4, 4, 0, 1, 3, 14, 1, 1}
{6, 16, 4, 4, 0, 1, 3, 1, 14, 1}
{6, 16, 3, 15, 0, 1, 1, 5, 2, 1}
{6, 16, 3, 15, 0, 1, 1, 2, 5, 1}
{6, 16, 2, 5, 0, 1, 1, 15, 3, 1}
{6, 16, 2, 5, 0, 1, 1, 3, 15, 1}
{6, 16, 1, 14, 0, 3, 1, 4, 4, 1}
{6, 14, 11, 11, 0, 2, 3, 1, 1, 1}
{6, 14, 10, 10, 0, 3, 2, 2, 2, 1}
{6, 14, 2, 2, 0, 2, 3, 10, 10, 1}
{6, 14, 1, 1, 0, 3, 2, 11, 11, 1}
{6, 13, 12, 3, 0, 8, 2, 4, 1, 1}
{6, 13, 12, 3, 0, 8, 2, 1, 4, 1}
{6, 13, 4, 1, 0, 2, 8, 12, 3, 1}
{6, 13, 4, 1, 0, 2, 8, 3, 12, 1}
{6, 13, 3, 12, 0, 8, 2, 4, 1, 1}
{6, 13, 3, 12, 0, 8, 2, 1, 4, 1}
{6, 13, 1, 4, 0, 2, 8, 12, 3, 1}
{6, 13, 1, 4, 0, 2, 8, 3, 12, 1}
{6, 12, 12, 4, 0, 5, 2, 7, 1, 1}
{6, 12, 12, 4, 0, 5, 2, 1, 7, 1}
{6, 12, 7, 1, 0, 2, 5, 12, 4, 1}
{6, 12, 7, 1, 0, 2, 5, 4, 12, 1}
{6, 12, 6, 6, 0, 4, 5, 5, 5, 1}
{6, 12, 5, 5, 0, 5, 4, 6, 6, 1}
{6, 12, 4, 12, 0, 5, 2, 7, 1, 1}
{6, 12, 4, 12, 0, 5, 2, 1, 7, 1}
{6, 12, 1, 7, 0, 2, 5, 12, 4, 1}
{6, 12, 1, 7, 0, 2, 5, 4, 12, 1}
{6, 10, 22, 2, 0, 2, 3, 2, 2, 1}
{6, 10, 20, 2, 0, 3, 2, 4, 2, 1}
{6, 10, 20, 2, 0, 3, 2, 2, 4, 1}
{6, 10, 18, 4, 0, 7, 2, 1, 1, 1}
{6, 10, 16, 1, 0, 8, 2, 3, 3, 1}
{6, 10, 12, 1, 0, 6, 6, 6, 2, 1}
{6, 10, 12, 1, 0, 6, 6, 2, 6, 1}
{6, 10, 6, 2, 0, 6, 6, 12, 1, 1}
{6, 10, 6, 2, 0, 6, 6, 1, 12, 1}
{6, 10, 6, 1, 0, 13, 6, 5, 2, 1}
{6, 10, 6, 1, 0, 13, 6, 2, 5, 1}
{6, 10, 5, 5, 0, 15, 2, 5, 1, 1}
{6, 10, 5, 5, 0, 15, 2, 1, 5, 1}
{6, 10, 5, 2, 0, 6, 13, 6, 1, 1}
{6, 10, 5, 2, 0, 6, 13, 1, 6, 1}
{6, 10, 5, 1, 0, 2, 15, 5, 5, 1}
{6, 10, 4, 18, 0, 7, 2, 1, 1, 1}
{6, 10, 4, 2, 0, 18, 3, 4, 2, 1}
{6, 10, 4, 2, 0, 18, 3, 2, 4, 1}
{6, 10, 4, 2, 0, 3, 18, 4, 2, 1}
{6, 10, 4, 2, 0, 3, 18, 2, 4, 1}
{6, 10, 4, 2, 0, 2, 3, 20, 2, 1}
{6, 10, 4, 2, 0, 2, 3, 2, 20, 1}
{6, 10, 3, 3, 0, 2, 23, 1, 1, 1}
{6, 10, 3, 3, 0, 2, 8, 16, 1, 1}
{6, 10, 3, 3, 0, 2, 8, 1, 16, 1}
{6, 10, 2, 22, 0, 2, 3, 2, 2, 1}
{6, 10, 2, 20, 0, 3, 2, 4, 2, 1}
{6, 10, 2, 20, 0, 3, 2, 2, 4, 1}
{6, 10, 2, 6, 0, 6, 6, 12, 1, 1}
{6, 10, 2, 6, 0, 6, 6, 1, 12, 1}
{6, 10, 2, 5, 0, 6, 13, 6, 1, 1}
{6, 10, 2, 5, 0, 6, 13, 1, 6, 1}
{6, 10, 2, 4, 0, 18, 3, 4, 2, 1}
{6, 10, 2, 4, 0, 18, 3, 2, 4, 1}
{6, 10, 2, 4, 0, 3, 18, 4, 2, 1}
{6, 10, 2, 4, 0, 3, 18, 2, 4, 1}
{6, 10, 2, 4, 0, 2, 3, 20, 2, 1}
{6, 10, 2, 4, 0, 2, 3, 2, 20, 1}
{6, 10, 2, 2, 0, 3, 2, 22, 2, 1}
{6, 10, 2, 2, 0, 3, 2, 2, 22, 1}
{6, 10, 1, 16, 0, 8, 2, 3, 3, 1}
{6, 10, 1, 12, 0, 6, 6, 6, 2, 1}
{6, 10, 1, 12, 0, 6, 6, 2, 6, 1}
{6, 10, 1, 6, 0, 13, 6, 5, 2, 1}
{6, 10, 1, 6, 0, 13, 6, 2, 5, 1}
{6, 10, 1, 5, 0, 2, 15, 5, 5, 1}
{6, 10, 1, 1, 0, 23, 2, 3, 3, 1}
{6, 10, 1, 1, 0, 2, 7, 18, 4, 1}
{6, 10, 1, 1, 0, 2, 7, 4, 18, 1}
{6, 9, 20, 4, 0, 2, 2, 4, 2, 1}
{6, 9, 20, 4, 0, 2, 2, 2, 4, 1}
{6, 9, 17, 7, 0, 5, 2, 2, 1, 1}
{6, 9, 17, 7, 0, 5, 2, 1, 2, 1}
{6, 9, 17, 1, 0, 3, 4, 6, 3, 1}
{6, 9, 17, 1, 0, 3, 4, 3, 6, 1}
{6, 9, 15, 3, 0, 2, 3, 10, 1, 1}
{6, 9, 15, 3, 0, 2, 3, 1, 10, 1}
{6, 9, 14, 10, 0, 3, 2, 3, 2, 1}
{6, 9, 14, 10, 0, 3, 2, 2, 3, 1}
{6, 9, 14, 2, 0, 6, 1, 9, 2, 1}
{6, 9, 14, 2, 0, 6, 1, 2, 9, 1}
{6, 9, 14, 2, 0, 1, 1, 14, 2, 1}
{6, 9, 14, 2, 0, 1, 1, 2, 14, 1}
{6, 9, 11, 1, 0, 2, 8, 7, 5, 1}
{6, 9, 11, 1, 0, 2, 8, 5, 7, 1}
{6, 9, 10, 14, 0, 3, 2, 3, 2, 1}
{6, 9, 10, 14, 0, 3, 2, 2, 3, 1}
{6, 9, 10, 1, 0, 3, 2, 15, 3, 1}
{6, 9, 10, 1, 0, 3, 2, 3, 15, 1}
{6, 9, 9, 5, 0, 7, 5, 4, 4, 1}
{6, 9, 9, 2, 0, 1, 6, 14, 2, 1}
{6, 9, 9, 2, 0, 1, 6, 2, 14, 1}
{6, 9, 7, 17, 0, 5, 2, 2, 1, 1}
{6, 9, 7, 17, 0, 5, 2, 1, 2, 1}
{6, 9, 7, 5, 0, 8, 2, 11, 1, 1}
{6, 9, 7, 5, 0, 8, 2, 1, 11, 1}
{6, 9, 7, 2, 0, 15, 2, 6, 2, 1}
{6, 9, 7, 2, 0, 15, 2, 2, 6, 1}
{6, 9, 7, 2, 0, 5, 17, 2, 1, 1}
{6, 9, 7, 2, 0, 5, 17, 1, 2, 1}
{6, 9, 6, 3, 0, 19, 3, 2, 1, 1}
{6, 9, 6, 3, 0, 19, 3, 1, 2, 1}
{6, 9, 6, 3, 0, 4, 3, 17, 1, 1}
{6, 9, 6, 3, 0, 4, 3, 1, 17, 1}
{6, 9, 6, 2, 0, 7, 15, 2, 2, 1}
{6, 9, 6, 2, 0, 2, 15, 7, 2, 1}
{6, 9, 6, 2, 0, 2, 15, 2, 7, 1}
{6, 9, 5, 9, 0, 7, 5, 4, 4, 1}
{6, 9, 5, 7, 0, 8, 2, 11, 1, 1}
{6, 9, 5, 7, 0, 8, 2, 1, 11, 1}
{6, 9, 5, 2, 0, 9, 13, 3, 2, 1}
{6, 9, 5, 2, 0, 9, 13, 2, 3, 1}
{6, 9, 4, 20, 0, 2, 2, 4, 2, 1}
{6, 9, 4, 20, 0, 2, 2, 2, 4, 1}
{6, 9, 4, 4, 0, 5, 7, 9, 5, 1}
{6, 9, 4, 4, 0, 5, 7, 5, 9, 1}
{6, 9, 4, 2, 0, 11, 11, 4, 2, 1}
{6, 9, 4, 2, 0, 11, 11, 2, 4, 1}
{6, 9, 4, 2, 0, 2, 2, 20, 4, 1}
{6, 9, 4, 2, 0, 2, 2, 4, 20, 1}
{6, 9, 3, 15, 0, 2, 3, 10, 1, 1}
{6, 9, 3, 15, 0, 2, 3, 1, 10, 1}
{6, 9, 3, 6, 0, 19, 3, 2, 1, 1}
{6, 9, 3, 6, 0, 19, 3, 1, 2, 1}
{6, 9, 3, 6, 0, 4, 3, 17, 1, 1}
{6, 9, 3, 6, 0, 4, 3, 1, 17, 1}
{6, 9, 3, 3, 0, 11, 13, 2, 2, 1}
{6, 9, 3, 3, 0, 5, 19, 2, 2, 1}
{6, 9, 3, 2, 0, 13, 9, 5, 2, 1}
{6, 9, 3, 2, 0, 13, 9, 2, 5, 1}
{6, 9, 3, 2, 0, 2, 3, 14, 10, 1}
{6, 9, 3, 2, 0, 2, 3, 10, 14, 1}
{6, 9, 2, 14, 0, 6, 1, 9, 2, 1}
{6, 9, 2, 14, 0, 6, 1, 2, 9, 1}
{6, 9, 2, 14, 0, 1, 1, 14, 2, 1}
{6, 9, 2, 14, 0, 1, 1, 2, 14, 1}
{6, 9, 2, 9, 0, 1, 6, 14, 2, 1}
{6, 9, 2, 9, 0, 1, 6, 2, 14, 1}
{6, 9, 2, 7, 0, 15, 2, 6, 2, 1}
{6, 9, 2, 7, 0, 15, 2, 2, 6, 1}
{6, 9, 2, 7, 0, 5, 17, 2, 1, 1}
{6, 9, 2, 7, 0, 5, 17, 1, 2, 1}
{6, 9, 2, 6, 0, 7, 15, 2, 2, 1}
{6, 9, 2, 6, 0, 2, 15, 7, 2, 1}
{6, 9, 2, 6, 0, 2, 15, 2, 7, 1}
{6, 9, 2, 5, 0, 9, 13, 3, 2, 1}
{6, 9, 2, 5, 0, 9, 13, 2, 3, 1}
{6, 9, 2, 4, 0, 11, 11, 4, 2, 1}
{6, 9, 2, 4, 0, 11, 11, 2, 4, 1}
{6, 9, 2, 4, 0, 2, 2, 20, 4, 1}
{6, 9, 2, 4, 0, 2, 2, 4, 20, 1}
{6, 9, 2, 3, 0, 13, 9, 5, 2, 1}
{6, 9, 2, 3, 0, 13, 9, 2, 5, 1}
{6, 9, 2, 3, 0, 2, 3, 14, 10, 1}
{6, 9, 2, 3, 0, 2, 3, 10, 14, 1}
{6, 9, 2, 2, 0, 19, 5, 3, 3, 1}
{6, 9, 2, 2, 0, 15, 7, 6, 2, 1}
{6, 9, 2, 2, 0, 15, 7, 2, 6, 1}
{6, 9, 2, 2, 0, 13, 11, 3, 3, 1}
{6, 9, 2, 1, 0, 17, 5, 7, 2, 1}
{6, 9, 2, 1, 0, 17, 5, 2, 7, 1}
{6, 9, 2, 1, 0, 3, 19, 6, 3, 1}
{6, 9, 2, 1, 0, 3, 19, 3, 6, 1}
{6, 9, 2, 1, 0, 2, 5, 17, 7, 1}
{6, 9, 2, 1, 0, 2, 5, 7, 17, 1}
{6, 9, 1, 17, 0, 3, 4, 6, 3, 1}
{6, 9, 1, 17, 0, 3, 4, 3, 6, 1}
{6, 9, 1, 11, 0, 2, 8, 7, 5, 1}
{6, 9, 1, 11, 0, 2, 8, 5, 7, 1}
{6, 9, 1, 10, 0, 3, 2, 15, 3, 1}
{6, 9, 1, 10, 0, 3, 2, 3, 15, 1}
{6, 9, 1, 2, 0, 17, 5, 7, 2, 1}
{6, 9, 1, 2, 0, 17, 5, 2, 7, 1}
{6, 9, 1, 2, 0, 3, 19, 6, 3, 1}
{6, 9, 1, 2, 0, 3, 19, 3, 6, 1}
{6, 9, 1, 2, 0, 2, 5, 17, 7, 1}
{6, 9, 1, 2, 0, 2, 5, 7, 17, 1}
{6, 8, 22, 2, 0, 1, 6, 3, 1, 1}
{6, 8, 22, 2, 0, 1, 6, 1, 3, 1}
{6, 8, 22, 2, 0, 1, 1, 6, 3, 1}
{6, 8, 22, 2, 0, 1, 1, 3, 6, 1}
{6, 8, 15, 3, 0, 9, 1, 4, 3, 1}
{6, 8, 15, 3, 0, 9, 1, 3, 4, 1}
{6, 8, 15, 1, 0, 9, 3, 4, 3, 1}
{6, 8, 15, 1, 0, 9, 3, 3, 4, 1}
{6, 8, 13, 2, 0, 1, 9, 9, 1, 1}
{6, 8, 13, 2, 0, 1, 9, 1, 9, 1}
{6, 8, 12, 8, 0, 5, 2, 7, 1, 1}
{6, 8, 12, 8, 0, 5, 2, 1, 7, 1}
{6, 8, 12, 2, 0, 1, 16, 3, 1, 1}
{6, 8, 12, 2, 0, 1, 16, 1, 3, 1}
{6, 8, 12, 2, 0, 1, 11, 6, 3, 1}
{6, 8, 12, 2, 0, 1, 11, 3, 6, 1}
{6, 8, 12, 2, 0, 1, 4, 10, 6, 1}
{6, 8, 12, 2, 0, 1, 4, 6, 10, 1}
{6, 8, 10, 6, 0, 4, 1, 12, 2, 1}
{6, 8, 10, 6, 0, 4, 1, 2, 12, 1}
{6, 8, 10, 4, 0, 16, 2, 2, 1, 1}
{6, 8, 10, 4, 0, 16, 2, 1, 2, 1}
{6, 8, 9, 6, 0, 7, 5, 4, 4, 1}
{6, 8, 9, 1, 0, 9, 9, 4, 3, 1}
{6, 8, 9, 1, 0, 9, 9, 3, 4, 1}
{6, 8, 9, 1, 0, 9, 1, 13, 2, 1}
{6, 8, 9, 1, 0, 9, 1, 2, 13, 1}
{6, 8, 8, 12, 0, 5, 2, 7, 1, 1}
{6, 8, 8, 12, 0, 5, 2, 1, 7, 1}
{6, 8, 8, 3, 0, 5, 5, 7, 7, 1}
{6, 8, 7, 7, 0, 5, 5, 8, 3, 1}
{6, 8, 7, 7, 0, 5, 5, 3, 8, 1}
{6, 8, 7, 2, 0, 15, 5, 3, 3, 1}
{6, 8, 7, 1, 0, 2, 5, 12, 8, 1}
{6, 8, 7, 1, 0, 2, 5, 8, 12, 1}
{6, 8, 6, 10, 0, 4, 1, 12, 2, 1}
{6, 8, 6, 10, 0, 4, 1, 2, 12, 1}
{6, 8, 6, 9, 0, 7, 5, 4, 4, 1}
{6, 8, 6, 3, 0, 11, 1, 12, 2, 1}
{6, 8, 6, 3, 0, 11, 1, 2, 12, 1}
{6, 8, 6, 3, 0, 1, 1, 22, 2, 1}
{6, 8, 6, 3, 0, 1, 1, 2, 22, 1}
{6, 8, 4, 10, 0, 16, 2, 2, 1, 1}
{6, 8, 4, 10, 0, 16, 2, 1, 2, 1}
{6, 8, 4, 4, 0, 5, 7, 9, 6, 1}
{6, 8, 4, 4, 0, 5, 7, 6, 9, 1}
{6, 8, 4, 3, 0, 9, 9, 9, 1, 1}
{6, 8, 4, 3, 0, 9, 9, 1, 9, 1}
{6, 8, 4, 3, 0, 3, 9, 15, 1, 1}
{6, 8, 4, 3, 0, 3, 9, 1, 15, 1}
{6, 8, 4, 3, 0, 1, 9, 15, 3, 1}
{6, 8, 4, 3, 0, 1, 9, 3, 15, 1}
{6, 8, 3, 15, 0, 9, 1, 4, 3, 1}
{6, 8, 3, 15, 0, 9, 1, 3, 4, 1}
{6, 8, 3, 8, 0, 5, 5, 7, 7, 1}
{6, 8, 3, 6, 0, 11, 1, 12, 2, 1}
{6, 8, 3, 6, 0, 11, 1, 2, 12, 1}
{6, 8, 3, 6, 0, 1, 1, 22, 2, 1}
{6, 8, 3, 6, 0, 1, 1, 2, 22, 1}
{6, 8, 3, 4, 0, 9, 9, 9, 1, 1}
{6, 8, 3, 4, 0, 9, 9, 1, 9, 1}
{6, 8, 3, 4, 0, 3, 9, 15, 1, 1}
{6, 8, 3, 4, 0, 3, 9, 1, 15, 1}
{6, 8, 3, 4, 0, 1, 9, 15, 3, 1}
{6, 8, 3, 4, 0, 1, 9, 3, 15, 1}
{6, 8, 3, 3, 0, 5, 15, 7, 2, 1}
{6, 8, 3, 3, 0, 5, 15, 2, 7, 1}
{6, 8, 3, 1, 0, 16, 1, 12, 2, 1}
{6, 8, 3, 1, 0, 16, 1, 2, 12, 1}
{6, 8, 3, 1, 0, 6, 1, 22, 2, 1}
{6, 8, 3, 1, 0, 6, 1, 2, 22, 1}
{6, 8, 2, 22, 0, 1, 6, 3, 1, 1}
{6, 8, 2, 22, 0, 1, 6, 1, 3, 1}
{6, 8, 2, 22, 0, 1, 1, 6, 3, 1}
{6, 8, 2, 22, 0, 1, 1, 3, 6, 1}
{6, 8, 2, 13, 0, 1, 9, 9, 1, 1}
{6, 8, 2, 13, 0, 1, 9, 1, 9, 1}
{6, 8, 2, 12, 0, 1, 16, 3, 1, 1}
{6, 8, 2, 12, 0, 1, 16, 1, 3, 1}
{6, 8, 2, 12, 0, 1, 11, 6, 3, 1}
{6, 8, 2, 12, 0, 1, 11, 3, 6, 1}
{6, 8, 2, 12, 0, 1, 4, 10, 6, 1}
{6, 8, 2, 12, 0, 1, 4, 6, 10, 1}
{6, 8, 2, 7, 0, 15, 5, 3, 3, 1}
{6, 8, 2, 1, 0, 2, 16, 10, 4, 1}
{6, 8, 2, 1, 0, 2, 16, 4, 10, 1}
{6, 8, 1, 15, 0, 9, 3, 4, 3, 1}
{6, 8, 1, 15, 0, 9, 3, 3, 4, 1}
{6, 8, 1, 9, 0, 9, 9, 4, 3, 1}
{6, 8, 1, 9, 0, 9, 9, 3, 4, 1}
{6, 8, 1, 9, 0, 9, 1, 13, 2, 1}
{6, 8, 1, 9, 0, 9, 1, 2, 13, 1}
{6, 8, 1, 7, 0, 2, 5, 12, 8, 1}
{6, 8, 1, 7, 0, 2, 5, 8, 12, 1}
{6, 8, 1, 3, 0, 16, 1, 12, 2, 1}
{6, 8, 1, 3, 0, 16, 1, 2, 12, 1}
{6, 8, 1, 3, 0, 6, 1, 22, 2, 1}
{6, 8, 1, 3, 0, 6, 1, 2, 22, 1}
{6, 8, 1, 2, 0, 2, 16, 10, 4, 1}
{6, 8, 1, 2, 0, 2, 16, 4, 10, 1}
{6, 7, 22, 2, 0, 3, 1, 4, 4, 1}
{6, 7, 17, 6, 0, 6, 2, 4, 1, 1}
{6, 7, 17, 6, 0, 6, 2, 1, 4, 1}
{6, 7, 13, 13, 0, 1, 3, 4, 2, 1}
{6, 7, 13, 13, 0, 1, 3, 2, 4, 1}
{6, 7, 12, 2, 0, 3, 11, 4, 4, 1}
{6, 7, 6, 17, 0, 6, 2, 4, 1, 1}
{6, 7, 6, 17, 0, 6, 2, 1, 4, 1}
{6, 7, 4, 4, 0, 11, 3, 12, 2, 1}
{6, 7, 4, 4, 0, 11, 3, 2, 12, 1}
{6, 7, 4, 4, 0, 1, 3, 22, 2, 1}
{6, 7, 4, 4, 0, 1, 3, 2, 22, 1}
{6, 7, 4, 2, 0, 3, 1, 13, 13, 1}
{6, 7, 4, 1, 0, 2, 6, 17, 6, 1}
{6, 7, 4, 1, 0, 2, 6, 6, 17, 1}
{6, 7, 2, 22, 0, 3, 1, 4, 4, 1}
{6, 7, 2, 12, 0, 3, 11, 4, 4, 1}
{6, 7, 2, 4, 0, 3, 1, 13, 13, 1}
{6, 7, 1, 4, 0, 2, 6, 17, 6, 1}
{6, 7, 1, 4, 0, 2, 6, 6, 17, 1}
{6, 6, 21, 3, 0, 3, 4, 5, 1, 1}
{6, 6, 21, 3, 0, 3, 4, 1, 5, 1}
{6, 6, 21, 3, 0, 3, 1, 5, 4, 1}
{6, 6, 21, 3, 0, 3, 1, 4, 5, 1}
{6, 6, 15, 3, 0, 7, 2, 7, 3, 1}
{6, 6, 15, 3, 0, 7, 2, 3, 7, 1}
{6, 6, 12, 3, 0, 6, 4, 10, 2, 1}
{6, 6, 12, 3, 0, 6, 4, 2, 10, 1}
{6, 6, 10, 2, 0, 4, 6, 12, 3, 1}
{6, 6, 10, 2, 0, 4, 6, 3, 12, 1}
{6, 6, 9, 9, 0, 6, 3, 6, 4, 1}
{6, 6, 9, 9, 0, 6, 3, 4, 6, 1}
{6, 6, 9, 3, 0, 3, 8, 7, 7, 1}
{6, 6, 8, 4, 0, 10, 3, 6, 6, 1}
{6, 6, 7, 7, 0, 8, 3, 9, 3, 1}
{6, 6, 7, 7, 0, 8, 3, 3, 9, 1}
{6, 6, 7, 3, 0, 10, 7, 7, 3, 1}
{6, 6, 7, 3, 0, 10, 7, 3, 7, 1}
{6, 6, 7, 3, 0, 7, 10, 7, 3, 1}
{6, 6, 7, 3, 0, 7, 10, 3, 7, 1}
{6, 6, 7, 3, 0, 2, 7, 15, 3, 1}
{6, 6, 7, 3, 0, 2, 7, 3, 15, 1}
{6, 6, 6, 6, 0, 6, 10, 5, 4, 1}
{6, 6, 6, 6, 0, 6, 10, 4, 5, 1}
{6, 6, 6, 6, 0, 3, 10, 8, 4, 1}
{6, 6, 6, 6, 0, 3, 10, 4, 8, 1}
{6, 6, 6, 4, 0, 3, 6, 9, 9, 1}
{6, 6, 5, 4, 0, 10, 6, 6, 6, 1}
{6, 6, 5, 4, 0, 1, 3, 21, 3, 1}
{6, 6, 5, 4, 0, 1, 3, 3, 21, 1}
{6, 6, 5, 1, 0, 4, 3, 21, 3, 1}
{6, 6, 5, 1, 0, 4, 3, 3, 21, 1}
{6, 6, 4, 8, 0, 10, 3, 6, 6, 1}
{6, 6, 4, 6, 0, 3, 6, 9, 9, 1}
{6, 6, 4, 5, 0, 10, 6, 6, 6, 1}
{6, 6, 4, 5, 0, 1, 3, 21, 3, 1}
{6, 6, 4, 5, 0, 1, 3, 3, 21, 1}
{6, 6, 3, 21, 0, 3, 4, 5, 1, 1}
{6, 6, 3, 21, 0, 3, 4, 1, 5, 1}
{6, 6, 3, 21, 0, 3, 1, 5, 4, 1}
{6, 6, 3, 21, 0, 3, 1, 4, 5, 1}
{6, 6, 3, 15, 0, 7, 2, 7, 3, 1}
{6, 6, 3, 15, 0, 7, 2, 3, 7, 1}
{6, 6, 3, 12, 0, 6, 4, 10, 2, 1}
{6, 6, 3, 12, 0, 6, 4, 2, 10, 1}
{6, 6, 3, 9, 0, 3, 8, 7, 7, 1}
{6, 6, 3, 7, 0, 10, 7, 7, 3, 1}
{6, 6, 3, 7, 0, 10, 7, 3, 7, 1}
{6, 6, 3, 7, 0, 7, 10, 7, 3, 1}
{6, 6, 3, 7, 0, 7, 10, 3, 7, 1}
{6, 6, 3, 7, 0, 2, 7, 15, 3, 1}
{6, 6, 3, 7, 0, 2, 7, 3, 15, 1}
{6, 6, 2, 10, 0, 4, 6, 12, 3, 1}
{6, 6, 2, 10, 0, 4, 6, 3, 12, 1}
{6, 6, 1, 5, 0, 4, 3, 21, 3, 1}
{6, 6, 1, 5, 0, 4, 3, 3, 21, 1}
{6, 5, 29, 1, 0, 5, 1, 1, 1, 1}
{6, 5, 25, 1, 0, 1, 5, 5, 1, 1}
{6, 5, 25, 1, 0, 1, 5, 1, 5, 1}
{6, 5, 21, 7, 0, 3, 3, 3, 1, 1}
{6, 5, 21, 7, 0, 3, 3, 1, 3, 1}
{6, 5, 18, 6, 0, 3, 3, 6, 2, 1}
{6, 5, 18, 6, 0, 3, 3, 2, 6, 1}
{6, 5, 15, 5, 0, 3, 3, 9, 3, 1}
{6, 5, 15, 5, 0, 3, 3, 3, 9, 1}
{6, 5, 15, 3, 0, 4, 8, 6, 2, 1}
{6, 5, 15, 3, 0, 4, 8, 2, 6, 1}
{6, 5, 15, 3, 0, 3, 9, 4, 4, 1}
{6, 5, 15, 3, 0, 3, 3, 7, 7, 1}
{6, 5, 14, 2, 0, 6, 1, 9, 6, 1}
{6, 5, 14, 2, 0, 6, 1, 6, 9, 1}
{6, 5, 14, 2, 0, 4, 2, 10, 6, 1}
{6, 5, 14, 2, 0, 4, 2, 6, 10, 1}
{6, 5, 13, 3, 0, 3, 11, 4, 4, 1}
{6, 5, 12, 10, 0, 6, 2, 4, 4, 1}
{6, 5, 12, 4, 0, 9, 1, 8, 4, 1}
{6, 5, 12, 4, 0, 9, 1, 4, 8, 1}
{6, 5, 12, 4, 0, 3, 3, 12, 4, 1}
{6, 5, 12, 4, 0, 3, 3, 4, 12, 1}
{6, 5, 10, 12, 0, 6, 2, 4, 4, 1}
{6, 5, 10, 10, 0, 1, 5, 10, 2, 1}
{6, 5, 10, 10, 0, 1, 5, 2, 10, 1}
{6, 5, 10, 6, 0, 2, 4, 14, 2, 1}
{6, 5, 10, 6, 0, 2, 4, 2, 14, 1}
{6, 5, 10, 2, 0, 5, 1, 10, 10, 1}
{6, 5, 9, 6, 0, 1, 6, 14, 2, 1}
{6, 5, 9, 6, 0, 1, 6, 2, 14, 1}
{6, 5, 9, 3, 0, 3, 3, 15, 5, 1}
{6, 5, 9, 3, 0, 3, 3, 5, 15, 1}
{6, 5, 8, 4, 0, 1, 9, 12, 4, 1}
{6, 5, 8, 4, 0, 1, 9, 4, 12, 1}
{6, 5, 7, 21, 0, 3, 3, 3, 1, 1}
{6, 5, 7, 21, 0, 3, 3, 1, 3, 1}
{6, 5, 7, 7, 0, 12, 2, 5, 5, 1}
{6, 5, 7, 7, 0, 3, 3, 15, 3, 1}
{6, 5, 7, 7, 0, 3, 3, 3, 15, 1}
{6, 5, 6, 18, 0, 3, 3, 6, 2, 1}
{6, 5, 6, 18, 0, 3, 3, 2, 6, 1}
{6, 5, 6, 10, 0, 2, 4, 14, 2, 1}
{6, 5, 6, 10, 0, 2, 4, 2, 14, 1}
{6, 5, 6, 9, 0, 1, 6, 14, 2, 1}
{6, 5, 6, 9, 0, 1, 6, 2, 14, 1}
{6, 5, 6, 2, 0, 8, 4, 15, 3, 1}
{6, 5, 6, 2, 0, 8, 4, 3, 15, 1}
{6, 5, 6, 2, 0, 3, 3, 18, 6, 1}
{6, 5, 6, 2, 0, 3, 3, 6, 18, 1}
{6, 5, 5, 15, 0, 3, 3, 9, 3, 1}
{6, 5, 5, 15, 0, 3, 3, 3, 9, 1}
{6, 5, 5, 5, 0, 2, 12, 7, 7, 1}
{6, 5, 5, 1, 0, 5, 1, 25, 1, 1}
{6, 5, 5, 1, 0, 5, 1, 1, 25, 1}
{6, 5, 4, 12, 0, 9, 1, 8, 4, 1}
{6, 5, 4, 12, 0, 9, 1, 4, 8, 1}
{6, 5, 4, 12, 0, 3, 3, 12, 4, 1}
{6, 5, 4, 12, 0, 3, 3, 4, 12, 1}
{6, 5, 4, 8, 0, 1, 9, 12, 4, 1}
{6, 5, 4, 8, 0, 1, 9, 4, 12, 1}
{6, 5, 4, 4, 0, 11, 3, 13, 3, 1}
{6, 5, 4, 4, 0, 11, 3, 3, 13, 1}
{6, 5, 4, 4, 0, 9, 3, 15, 3, 1}
{6, 5, 4, 4, 0, 9, 3, 3, 15, 1}
{6, 5, 4, 4, 0, 2, 6, 12, 10, 1}
{6, 5, 4, 4, 0, 2, 6, 10, 12, 1}
{6, 5, 3, 15, 0, 4, 8, 6, 2, 1}
{6, 5, 3, 15, 0, 4, 8, 2, 6, 1}
{6, 5, 3, 15, 0, 3, 9, 4, 4, 1}
{6, 5, 3, 15, 0, 3, 3, 7, 7, 1}
{6, 5, 3, 13, 0, 3, 11, 4, 4, 1}
{6, 5, 3, 9, 0, 3, 3, 15, 5, 1}
{6, 5, 3, 9, 0, 3, 3, 5, 15, 1}
{6, 5, 3, 1, 0, 3, 3, 21, 7, 1}
{6, 5, 3, 1, 0, 3, 3, 7, 21, 1}
{6, 5, 2, 14, 0, 6, 1, 9, 6, 1}
{6, 5, 2, 14, 0, 6, 1, 6, 9, 1}
{6, 5, 2, 14, 0, 4, 2, 10, 6, 1}
{6, 5, 2, 14, 0, 4, 2, 6, 10, 1}
{6, 5, 2, 10, 0, 5, 1, 10, 10, 1}
{6, 5, 2, 6, 0, 8, 4, 15, 3, 1}
{6, 5, 2, 6, 0, 8, 4, 3, 15, 1}
{6, 5, 2, 6, 0, 3, 3, 18, 6, 1}
{6, 5, 2, 6, 0, 3, 3, 6, 18, 1}
{6, 5, 1, 29, 0, 5, 1, 1, 1, 1}
{6, 5, 1, 25, 0, 1, 5, 5, 1, 1}
{6, 5, 1, 25, 0, 1, 5, 1, 5, 1}
{6, 5, 1, 5, 0, 5, 1, 25, 1, 1}
{6, 5, 1, 5, 0, 5, 1, 1, 25, 1}
{6, 5, 1, 3, 0, 3, 3, 21, 7, 1}
{6, 5, 1, 3, 0, 3, 3, 7, 21, 1}
{6, 5, 1, 1, 0, 1, 5, 29, 1, 1}
{6, 5, 1, 1, 0, 1, 5, 1, 29, 1}
{6, 4, 24, 4, 0, 4, 5, 1, 1, 1}
{6, 4, 18, 10, 0, 7, 2, 1, 1, 1}
{6, 4, 15, 9, 0, 2, 5, 4, 4, 1}
{6, 4, 12, 4, 0, 12, 3, 5, 3, 1}
{6, 4, 12, 4, 0, 12, 3, 3, 5, 1}
{6, 4, 12, 4, 0, 5, 3, 10, 5, 1}
{6, 4, 12, 4, 0, 5, 3, 5, 10, 1}
{6, 4, 11, 11, 0, 2, 5, 5, 5, 1}
{6, 4, 10, 18, 0, 7, 2, 1, 1, 1}
{6, 4, 10, 5, 0, 3, 5, 12, 4, 1}
{6, 4, 10, 5, 0, 3, 5, 4, 12, 1}
{6, 4, 10, 4, 0, 8, 2, 9, 6, 1}
{6, 4, 10, 4, 0, 8, 2, 6, 9, 1}
{6, 4, 9, 15, 0, 2, 5, 4, 4, 1}
{6, 4, 9, 6, 0, 2, 8, 10, 4, 1}
{6, 4, 9, 6, 0, 2, 8, 4, 10, 1}
{6, 4, 6, 9, 0, 2, 8, 10, 4, 1}
{6, 4, 6, 9, 0, 2, 8, 4, 10, 1}
{6, 4, 6, 4, 0, 6, 15, 5, 3, 1}
{6, 4, 6, 4, 0, 6, 15, 3, 5, 1}
{6, 4, 5, 10, 0, 3, 5, 12, 4, 1}
{6, 4, 5, 10, 0, 3, 5, 4, 12, 1}
{6, 4, 5, 5, 0, 5, 2, 11, 11, 1}
{6, 4, 5, 3, 0, 15, 6, 6, 4, 1}
{6, 4, 5, 3, 0, 15, 6, 4, 6, 1}
{6, 4, 5, 3, 0, 3, 12, 12, 4, 1}
{6, 4, 5, 3, 0, 3, 12, 4, 12, 1}
{6, 4, 4, 24, 0, 4, 5, 1, 1, 1}
{6, 4, 4, 12, 0, 12, 3, 5, 3, 1}
{6, 4, 4, 12, 0, 12, 3, 3, 5, 1}
{6, 4, 4, 12, 0, 5, 3, 10, 5, 1}
{6, 4, 4, 12, 0, 5, 3, 5, 10, 1}
{6, 4, 4, 10, 0, 8, 2, 9, 6, 1}
{6, 4, 4, 10, 0, 8, 2, 6, 9, 1}
{6, 4, 4, 6, 0, 6, 15, 5, 3, 1}
{6, 4, 4, 6, 0, 6, 15, 3, 5, 1}
{6, 4, 4, 4, 0, 5, 2, 15, 9, 1}
{6, 4, 4, 4, 0, 5, 2, 9, 15, 1}
{6, 4, 3, 5, 0, 15, 6, 6, 4, 1}
{6, 4, 3, 5, 0, 15, 6, 4, 6, 1}
{6, 4, 3, 5, 0, 3, 12, 12, 4, 1}
{6, 4, 3, 5, 0, 3, 12, 4, 12, 1}
{6, 4, 1, 1, 0, 5, 4, 24, 4, 1}
{6, 4, 1, 1, 0, 5, 4, 4, 24, 1}
{6, 4, 1, 1, 0, 2, 7, 18, 10, 1}
{6, 4, 1, 1, 0, 2, 7, 10, 18, 1}
{6, 3, 19, 5, 0, 8, 5, 2, 1, 1}
{6, 3, 19, 5, 0, 8, 5, 1, 2, 1}
{6, 3, 19, 5, 0, 5, 8, 2, 1, 1}
{6, 3, 19, 5, 0, 5, 8, 1, 2, 1}
{6, 3, 18, 6, 0, 11, 3, 1, 1, 1}
{6, 3, 18, 6, 0, 8, 3, 4, 1, 1}
{6, 3, 18, 6, 0, 8, 3, 1, 4, 1}
{6, 3, 18, 6, 0, 5, 3, 4, 4, 1}
{6, 3, 18, 6, 0, 3, 11, 1, 1, 1}
{6, 3, 18, 6, 0, 3, 8, 4, 1, 1}
{6, 3, 18, 6, 0, 3, 8, 1, 4, 1}
{6, 3, 18, 6, 0, 3, 5, 4, 4, 1}
{6, 3, 16, 4, 0, 7, 5, 6, 2, 1}
{6, 3, 16, 4, 0, 7, 5, 2, 6, 1}
{6, 3, 16, 4, 0, 5, 7, 6, 2, 1}
{6, 3, 16, 4, 0, 5, 7, 2, 6, 1}
{6, 3, 15, 10, 0, 11, 2, 1, 1, 1}
{6, 3, 15, 10, 0, 2, 11, 1, 1, 1}
{6, 3, 15, 9, 0, 5, 3, 7, 1, 1}
{6, 3, 15, 9, 0, 5, 3, 1, 7, 1}
{6, 3, 15, 9, 0, 3, 5, 7, 1, 1}
{6, 3, 15, 9, 0, 3, 5, 1, 7, 1}
{6, 3, 15, 5, 0, 11, 5, 3, 1, 1}
{6, 3, 15, 5, 0, 11, 5, 1, 3, 1}
{6, 3, 15, 5, 0, 5, 11, 3, 1, 1}
{6, 3, 15, 5, 0, 5, 11, 1, 3, 1}
{6, 3, 15, 3, 0, 7, 3, 6, 6, 1}
{6, 3, 14, 10, 0, 11, 2, 2, 1, 1}
{6, 3, 14, 10, 0, 11, 2, 1, 2, 1}
{6, 3, 14, 10, 0, 2, 11, 2, 1, 1}
{6, 3, 14, 10, 0, 2, 11, 1, 2, 1}
{6, 3, 12, 8, 0, 10, 2, 4, 4, 1}
{6, 3, 12, 8, 0, 2, 10, 4, 4, 1}
{6, 3, 12, 4, 0, 11, 5, 6, 2, 1}
{6, 3, 12, 4, 0, 11, 5, 2, 6, 1}
{6, 3, 12, 4, 0, 5, 11, 6, 2, 1}
{6, 3, 12, 4, 0, 5, 11, 2, 6, 1}
{6, 3, 11, 11, 0, 14, 2, 1, 1, 1}
{6, 3, 11, 11, 0, 2, 14, 1, 1, 1}
{6, 3, 11, 7, 0, 11, 2, 5, 4, 1}
{6, 3, 11, 7, 0, 11, 2, 4, 5, 1}
{6, 3, 11, 7, 0, 2, 11, 5, 4, 1}
{6, 3, 11, 7, 0, 2, 11, 4, 5, 1}
{6, 3, 11, 3, 0, 11, 7, 4, 4, 1}
{6, 3, 11, 3, 0, 7, 11, 4, 4, 1}
{6, 3, 10, 15, 0, 11, 2, 1, 1, 1}
{6, 3, 10, 15, 0, 2, 11, 1, 1, 1}
{6, 3, 10, 14, 0, 11, 2, 2, 1, 1}
{6, 3, 10, 14, 0, 11, 2, 1, 2, 1}
{6, 3, 10, 14, 0, 2, 11, 2, 1, 1}
{6, 3, 10, 14, 0, 2, 11, 1, 2, 1}
{6, 3, 10, 10, 0, 14, 2, 2, 2, 1}
{6, 3, 10, 10, 0, 2, 14, 2, 2, 1}
{6, 3, 10, 4, 0, 11, 7, 6, 2, 1}
{6, 3, 10, 4, 0, 11, 7, 2, 6, 1}
{6, 3, 10, 4, 0, 7, 11, 6, 2, 1}
{6, 3, 10, 4, 0, 7, 11, 2, 6, 1}
{6, 3, 9, 15, 0, 5, 3, 7, 1, 1}
{6, 3, 9, 15, 0, 5, 3, 1, 7, 1}
{6, 3, 9, 15, 0, 3, 5, 7, 1, 1}
{6, 3, 9, 15, 0, 3, 5, 1, 7, 1}
{6, 3, 9, 9, 0, 14, 2, 3, 3, 1}
{6, 3, 9, 9, 0, 11, 2, 6, 3, 1}
{6, 3, 9, 9, 0, 11, 2, 3, 6, 1}
{6, 3, 9, 9, 0, 2, 14, 3, 3, 1}
{6, 3, 9, 9, 0, 2, 11, 6, 3, 1}
{6, 3, 9, 9, 0, 2, 11, 3, 6, 1}
{6, 3, 9, 6, 0, 12, 5, 7, 1, 1}
{6, 3, 9, 6, 0, 12, 5, 1, 7, 1}
{6, 3, 9, 6, 0, 5, 12, 7, 1, 1}
{6, 3, 9, 6, 0, 5, 12, 1, 7, 1}
{6, 3, 9, 3, 0, 11, 5, 9, 3, 1}
{6, 3, 9, 3, 0, 11, 5, 3, 9, 1}
{6, 3, 9, 3, 0, 5, 11, 9, 3, 1}
{6, 3, 9, 3, 0, 5, 11, 3, 9, 1}
{6, 3, 8, 12, 0, 10, 2, 4, 4, 1}
{6, 3, 8, 12, 0, 2, 10, 4, 4, 1}
{6, 3, 8, 8, 0, 15, 3, 5, 1, 1}
{6, 3, 8, 8, 0, 15, 3, 1, 5, 1}
{6, 3, 8, 8, 0, 14, 2, 4, 4, 1}
{6, 3, 8, 8, 0, 3, 15, 5, 1, 1}
{6, 3, 8, 8, 0, 3, 15, 1, 5, 1}
{6, 3, 8, 8, 0, 2, 14, 4, 4, 1}
{6, 3, 8, 7, 0, 17, 5, 2, 1, 1}
{6, 3, 8, 7, 0, 17, 5, 1, 2, 1}
{6, 3, 8, 7, 0, 5, 17, 2, 1, 1}
{6, 3, 8, 7, 0, 5, 17, 1, 2, 1}
{6, 3, 7, 11, 0, 11, 2, 5, 4, 1}
{6, 3, 7, 11, 0, 11, 2, 4, 5, 1}
{6, 3, 7, 11, 0, 2, 11, 5, 4, 1}
{6, 3, 7, 11, 0, 2, 11, 4, 5, 1}
{6, 3, 7, 8, 0, 17, 5, 2, 1, 1}
{6, 3, 7, 8, 0, 17, 5, 1, 2, 1}
{6, 3, 7, 8, 0, 5, 17, 2, 1, 1}
{6, 3, 7, 8, 0, 5, 17, 1, 2, 1}
{6, 3, 7, 7, 0, 14, 2, 5, 5, 1}
{6, 3, 7, 7, 0, 2, 14, 5, 5, 1}
{6, 3, 7, 1, 0, 12, 5, 9, 6, 1}
{6, 3, 7, 1, 0, 12, 5, 6, 9, 1}
{6, 3, 7, 1, 0, 5, 12, 9, 6, 1}
{6, 3, 7, 1, 0, 5, 12, 6, 9, 1}
{6, 3, 7, 1, 0, 5, 3, 15, 9, 1}
{6, 3, 7, 1, 0, 5, 3, 9, 15, 1}
{6, 3, 7, 1, 0, 3, 5, 15, 9, 1}
{6, 3, 7, 1, 0, 3, 5, 9, 15, 1}
{6, 3, 6, 18, 0, 11, 3, 1, 1, 1}
{6, 3, 6, 18, 0, 8, 3, 4, 1, 1}
{6, 3, 6, 18, 0, 8, 3, 1, 4, 1}
{6, 3, 6, 18, 0, 5, 3, 4, 4, 1}
{6, 3, 6, 18, 0, 3, 11, 1, 1, 1}
{6, 3, 6, 18, 0, 3, 8, 4, 1, 1}
{6, 3, 6, 18, 0, 3, 8, 1, 4, 1}
{6, 3, 6, 18, 0, 3, 5, 4, 4, 1}
{6, 3, 6, 9, 0, 12, 5, 7, 1, 1}
{6, 3, 6, 9, 0, 12, 5, 1, 7, 1}
{6, 3, 6, 9, 0, 5, 12, 7, 1, 1}
{6, 3, 6, 9, 0, 5, 12, 1, 7, 1}
{6, 3, 6, 6, 0, 14, 2, 6, 6, 1}
{6, 3, 6, 6, 0, 3, 7, 15, 3, 1}
{6, 3, 6, 6, 0, 3, 7, 3, 15, 1}
{6, 3, 6, 6, 0, 2, 14, 6, 6, 1}
{6, 3, 6, 4, 0, 17, 5, 4, 4, 1}
{6, 3, 6, 4, 0, 5, 17, 4, 4, 1}
{6, 3, 6, 3, 0, 11, 2, 9, 9, 1}
{6, 3, 6, 3, 0, 2, 11, 9, 9, 1}
{6, 3, 6, 2, 0, 11, 7, 10, 4, 1}
{6, 3, 6, 2, 0, 11, 7, 4, 10, 1}
{6, 3, 6, 2, 0, 11, 5, 12, 4, 1}
{6, 3, 6, 2, 0, 11, 5, 4, 12, 1}
{6, 3, 6, 2, 0, 7, 11, 10, 4, 1}
{6, 3, 6, 2, 0, 7, 11, 4, 10, 1}
{6, 3, 6, 2, 0, 7, 5, 16, 4, 1}
{6, 3, 6, 2, 0, 7, 5, 4, 16, 1}
{6, 3, 6, 2, 0, 5, 11, 12, 4, 1}
{6, 3, 6, 2, 0, 5, 11, 4, 12, 1}
{6, 3, 6, 2, 0, 5, 7, 16, 4, 1}
{6, 3, 6, 2, 0, 5, 7, 4, 16, 1}
{6, 3, 5, 19, 0, 8, 5, 2, 1, 1}
{6, 3, 5, 19, 0, 8, 5, 1, 2, 1}
{6, 3, 5, 19, 0, 5, 8, 2, 1, 1}
{6, 3, 5, 19, 0, 5, 8, 1, 2, 1}
{6, 3, 5, 15, 0, 11, 5, 3, 1, 1}
{6, 3, 5, 15, 0, 11, 5, 1, 3, 1}
{6, 3, 5, 15, 0, 5, 11, 3, 1, 1}
{6, 3, 5, 15, 0, 5, 11, 1, 3, 1}
{6, 3, 5, 5, 0, 14, 2, 7, 7, 1}
{6, 3, 5, 5, 0, 2, 14, 7, 7, 1}
{6, 3, 5, 4, 0, 11, 2, 11, 7, 1}
{6, 3, 5, 4, 0, 11, 2, 7, 11, 1}
{6, 3, 5, 4, 0, 2, 11, 11, 7, 1}
{6, 3, 5, 4, 0, 2, 11, 7, 11, 1}
{6, 3, 5, 1, 0, 15, 3, 8, 8, 1}
{6, 3, 5, 1, 0, 3, 15, 8, 8, 1}
{6, 3, 4, 16, 0, 7, 5, 6, 2, 1}
{6, 3, 4, 16, 0, 7, 5, 2, 6, 1}
{6, 3, 4, 16, 0, 5, 7, 6, 2, 1}
{6, 3, 4, 16, 0, 5, 7, 2, 6, 1}
{6, 3, 4, 12, 0, 11, 5, 6, 2, 1}
{6, 3, 4, 12, 0, 11, 5, 2, 6, 1}
{6, 3, 4, 12, 0, 5, 11, 6, 2, 1}
{6, 3, 4, 12, 0, 5, 11, 2, 6, 1}
{6, 3, 4, 10, 0, 11, 7, 6, 2, 1}
{6, 3, 4, 10, 0, 11, 7, 2, 6, 1}
{6, 3, 4, 10, 0, 7, 11, 6, 2, 1}
{6, 3, 4, 10, 0, 7, 11, 2, 6, 1}
{6, 3, 4, 6, 0, 17, 5, 4, 4, 1}
{6, 3, 4, 6, 0, 5, 17, 4, 4, 1}
{6, 3, 4, 5, 0, 11, 2, 11, 7, 1}
{6, 3, 4, 5, 0, 11, 2, 7, 11, 1}
{6, 3, 4, 5, 0, 2, 11, 11, 7, 1}
{6, 3, 4, 5, 0, 2, 11, 7, 11, 1}
{6, 3, 4, 4, 0, 17, 5, 6, 4, 1}
{6, 3, 4, 4, 0, 17, 5, 4, 6, 1}
{6, 3, 4, 4, 0, 14, 2, 8, 8, 1}
{6, 3, 4, 4, 0, 11, 7, 11, 3, 1}
{6, 3, 4, 4, 0, 11, 7, 3, 11, 1}
{6, 3, 4, 4, 0, 10, 2, 12, 8, 1}
{6, 3, 4, 4, 0, 10, 2, 8, 12, 1}
{6, 3, 4, 4, 0, 7, 11, 11, 3, 1}
{6, 3, 4, 4, 0, 7, 11, 3, 11, 1}
{6, 3, 4, 4, 0, 5, 17, 6, 4, 1}
{6, 3, 4, 4, 0, 5, 17, 4, 6, 1}
{6, 3, 4, 4, 0, 5, 3, 18, 6, 1}
{6, 3, 4, 4, 0, 5, 3, 6, 18, 1}
{6, 3, 4, 4, 0, 3, 5, 18, 6, 1}
{6, 3, 4, 4, 0, 3, 5, 6, 18, 1}
{6, 3, 4, 4, 0, 2, 14, 8, 8, 1}
{6, 3, 4, 4, 0, 2, 10, 12, 8, 1}
{6, 3, 4, 4, 0, 2, 10, 8, 12, 1}
{6, 3, 4, 1, 0, 8, 3, 18, 6, 1}
{6, 3, 4, 1, 0, 8, 3, 6, 18, 1}
{6, 3, 4, 1, 0, 3, 8, 18, 6, 1}
{6, 3, 4, 1, 0, 3, 8, 6, 18, 1}
{6, 3, 3, 15, 0, 7, 3, 6, 6, 1}
{6, 3, 3, 11, 0, 11, 7, 4, 4, 1}
{6, 3, 3, 11, 0, 7, 11, 4, 4, 1}
{6, 3, 3, 9, 0, 11, 5, 9, 3, 1}
{6, 3, 3, 9, 0, 11, 5, 3, 9, 1}
{6, 3, 3, 9, 0, 5, 11, 9, 3, 1}
{6, 3, 3, 9, 0, 5, 11, 3, 9, 1}
{6, 3, 3, 6, 0, 11, 2, 9, 9, 1}
{6, 3, 3, 6, 0, 2, 11, 9, 9, 1}
{6, 3, 3, 3, 0, 14, 2, 9, 9, 1}
{6, 3, 3, 3, 0, 2, 14, 9, 9, 1}
{6, 3, 3, 1, 0, 11, 5, 15, 5, 1}
{6, 3, 3, 1, 0, 11, 5, 5, 15, 1}
{6, 3, 3, 1, 0, 5, 11, 15, 5, 1}
{6, 3, 3, 1, 0, 5, 11, 5, 15, 1}
{6, 3, 2, 6, 0, 11, 7, 10, 4, 1}
{6, 3, 2, 6, 0, 11, 7, 4, 10, 1}
{6, 3, 2, 6, 0, 11, 5, 12, 4, 1}
{6, 3, 2, 6, 0, 11, 5, 4, 12, 1}
{6, 3, 2, 6, 0, 7, 11, 10, 4, 1}
{6, 3, 2, 6, 0, 7, 11, 4, 10, 1}
{6, 3, 2, 6, 0, 7, 5, 16, 4, 1}
{6, 3, 2, 6, 0, 7, 5, 4, 16, 1}
{6, 3, 2, 6, 0, 5, 11, 12, 4, 1}
{6, 3, 2, 6, 0, 5, 11, 4, 12, 1}
{6, 3, 2, 6, 0, 5, 7, 16, 4, 1}
{6, 3, 2, 6, 0, 5, 7, 4, 16, 1}
{6, 3, 2, 2, 0, 14, 2, 10, 10, 1}
{6, 3, 2, 2, 0, 2, 14, 10, 10, 1}
{6, 3, 2, 1, 0, 17, 5, 8, 7, 1}
{6, 3, 2, 1, 0, 17, 5, 7, 8, 1}
{6, 3, 2, 1, 0, 11, 2, 14, 10, 1}
{6, 3, 2, 1, 0, 11, 2, 10, 14, 1}
{6, 3, 2, 1, 0, 8, 5, 19, 5, 1}
{6, 3, 2, 1, 0, 8, 5, 5, 19, 1}
{6, 3, 2, 1, 0, 5, 17, 8, 7, 1}
{6, 3, 2, 1, 0, 5, 17, 7, 8, 1}
{6, 3, 2, 1, 0, 5, 8, 19, 5, 1}
{6, 3, 2, 1, 0, 5, 8, 5, 19, 1}
{6, 3, 2, 1, 0, 2, 11, 14, 10, 1}
{6, 3, 2, 1, 0, 2, 11, 10, 14, 1}
{6, 3, 1, 7, 0, 12, 5, 9, 6, 1}
{6, 3, 1, 7, 0, 12, 5, 6, 9, 1}
{6, 3, 1, 7, 0, 5, 12, 9, 6, 1}
{6, 3, 1, 7, 0, 5, 12, 6, 9, 1}
{6, 3, 1, 7, 0, 5, 3, 15, 9, 1}
{6, 3, 1, 7, 0, 5, 3, 9, 15, 1}
{6, 3, 1, 7, 0, 3, 5, 15, 9, 1}
{6, 3, 1, 7, 0, 3, 5, 9, 15, 1}
{6, 3, 1, 5, 0, 15, 3, 8, 8, 1}
{6, 3, 1, 5, 0, 3, 15, 8, 8, 1}
{6, 3, 1, 4, 0, 8, 3, 18, 6, 1}
{6, 3, 1, 4, 0, 8, 3, 6, 18, 1}
{6, 3, 1, 4, 0, 3, 8, 18, 6, 1}
{6, 3, 1, 4, 0, 3, 8, 6, 18, 1}
{6, 3, 1, 3, 0, 11, 5, 15, 5, 1}
{6, 3, 1, 3, 0, 11, 5, 5, 15, 1}
{6, 3, 1, 3, 0, 5, 11, 15, 5, 1}
{6, 3, 1, 3, 0, 5, 11, 5, 15, 1}
{6, 3, 1, 2, 0, 17, 5, 8, 7, 1}
{6, 3, 1, 2, 0, 17, 5, 7, 8, 1}
{6, 3, 1, 2, 0, 11, 2, 14, 10, 1}
{6, 3, 1, 2, 0, 11, 2, 10, 14, 1}
{6, 3, 1, 2, 0, 8, 5, 19, 5, 1}
{6, 3, 1, 2, 0, 8, 5, 5, 19, 1}
{6, 3, 1, 2, 0, 5, 17, 8, 7, 1}
{6, 3, 1, 2, 0, 5, 17, 7, 8, 1}
{6, 3, 1, 2, 0, 5, 8, 19, 5, 1}
{6, 3, 1, 2, 0, 5, 8, 5, 19, 1}
{6, 3, 1, 2, 0, 2, 11, 14, 10, 1}
{6, 3, 1, 2, 0, 2, 11, 10, 14, 1}
{6, 3, 1, 1, 0, 14, 2, 11, 11, 1}
{6, 3, 1, 1, 0, 11, 3, 18, 6, 1}
{6, 3, 1, 1, 0, 11, 3, 6, 18, 1}
{6, 3, 1, 1, 0, 11, 2, 15, 10, 1}
{6, 3, 1, 1, 0, 11, 2, 10, 15, 1}
{6, 3, 1, 1, 0, 3, 11, 18, 6, 1}
{6, 3, 1, 1, 0, 3, 11, 6, 18, 1}
{6, 3, 1, 1, 0, 2, 14, 11, 11, 1}
{6, 3, 1, 1, 0, 2, 11, 15, 10, 1}
{6, 3, 1, 1, 0, 2, 11, 10, 15, 1}
{6, 2, 33, 3, 0, 1, 1, 2, 1, 1}
{6, 2, 33, 3, 0, 1, 1, 1, 2, 1}
{6, 2, 27, 1, 0, 1, 1, 8, 3, 1}
{6, 2, 27, 1, 0, 1, 1, 3, 8, 1}
{6, 2, 20, 5, 0, 6, 4, 3, 3, 1}
{6, 2, 18, 6, 0, 8, 3, 4, 2, 1}
{6, 2, 18, 6, 0, 8, 3, 2, 4, 1}
{6, 2, 18, 6, 0, 5, 3, 5, 4, 1}
{6, 2, 18, 6, 0, 5, 3, 4, 5, 1}
{6, 2, 15, 10, 0, 9, 3, 3, 1, 1}
{6, 2, 15, 10, 0, 9, 3, 1, 3, 1}
{6, 2, 15, 9, 0, 3, 5, 6, 3, 1}
{6, 2, 15, 9, 0, 3, 5, 3, 6, 1}
{6, 2, 15, 3, 0, 6, 3, 7, 7, 1}
{6, 2, 13, 3, 0, 6, 11, 4, 4, 1}
{6, 2, 12, 10, 0, 9, 2, 4, 4, 1}
{6, 2, 12, 6, 0, 11, 8, 2, 2, 1}
{6, 2, 12, 4, 0, 8, 7, 8, 2, 1}
{6, 2, 12, 4, 0, 8, 7, 2, 8, 1}
{6, 2, 12, 4, 0, 3, 12, 7, 3, 1}
{6, 2, 12, 4, 0, 3, 12, 3, 7, 1}
{6, 2, 12, 2, 0, 3, 6, 9, 9, 1}
{6, 2, 11, 11, 0, 5, 6, 7, 1, 1}
{6, 2, 11, 11, 0, 5, 6, 1, 7, 1}
{6, 2, 10, 15, 0, 9, 3, 3, 1, 1}
{6, 2, 10, 15, 0, 9, 3, 1, 3, 1}
{6, 2, 10, 12, 0, 9, 2, 4, 4, 1}
{6, 2, 9, 15, 0, 3, 5, 6, 3, 1}
{6, 2, 9, 15, 0, 3, 5, 3, 6, 1}
{6, 2, 9, 9, 0, 16, 3, 2, 2, 1}
{6, 2, 9, 9, 0, 6, 3, 12, 2, 1}
{6, 2, 9, 9, 0, 6, 3, 2, 12, 1}
{6, 2, 8, 8, 0, 3, 16, 3, 3, 1}
{6, 2, 8, 5, 0, 6, 16, 3, 3, 1}
{6, 2, 8, 3, 0, 1, 1, 27, 1, 1}
{6, 2, 8, 3, 0, 1, 1, 1, 27, 1}
{6, 2, 8, 2, 0, 7, 8, 12, 4, 1}
{6, 2, 8, 2, 0, 7, 8, 4, 12, 1}
{6, 2, 7, 7, 0, 3, 6, 15, 3, 1}
{6, 2, 7, 7, 0, 3, 6, 3, 15, 1}
{6, 2, 7, 3, 0, 12, 3, 12, 4, 1}
{6, 2, 7, 3, 0, 12, 3, 4, 12, 1}
{6, 2, 7, 1, 0, 6, 5, 11, 11, 1}
{6, 2, 6, 18, 0, 8, 3, 4, 2, 1}
{6, 2, 6, 18, 0, 8, 3, 2, 4, 1}
{6, 2, 6, 18, 0, 5, 3, 5, 4, 1}
{6, 2, 6, 18, 0, 5, 3, 4, 5, 1}
{6, 2, 6, 12, 0, 11, 8, 2, 2, 1}
{6, 2, 6, 6, 0, 15, 6, 6, 2, 1}
{6, 2, 6, 6, 0, 15, 6, 2, 6, 1}
{6, 2, 6, 6, 0, 7, 16, 3, 3, 1}
{6, 2, 6, 3, 0, 5, 3, 15, 9, 1}
{6, 2, 6, 3, 0, 5, 3, 9, 15, 1}
{6, 2, 6, 2, 0, 6, 15, 6, 6, 1}
{6, 2, 5, 20, 0, 6, 4, 3, 3, 1}
{6, 2, 5, 8, 0, 6, 16, 3, 3, 1}
{6, 2, 5, 4, 0, 3, 5, 18, 6, 1}
{6, 2, 5, 4, 0, 3, 5, 6, 18, 1}
{6, 2, 4, 12, 0, 8, 7, 8, 2, 1}
{6, 2, 4, 12, 0, 8, 7, 2, 8, 1}
{6, 2, 4, 12, 0, 3, 12, 7, 3, 1}
{6, 2, 4, 12, 0, 3, 12, 3, 7, 1}
{6, 2, 4, 5, 0, 3, 5, 18, 6, 1}
{6, 2, 4, 5, 0, 3, 5, 6, 18, 1}
{6, 2, 4, 4, 0, 11, 6, 13, 3, 1}
{6, 2, 4, 4, 0, 11, 6, 3, 13, 1}
{6, 2, 4, 4, 0, 2, 9, 12, 10, 1}
{6, 2, 4, 4, 0, 2, 9, 10, 12, 1}
{6, 2, 4, 2, 0, 3, 8, 18, 6, 1}
{6, 2, 4, 2, 0, 3, 8, 6, 18, 1}
{6, 2, 3, 33, 0, 1, 1, 2, 1, 1}
{6, 2, 3, 33, 0, 1, 1, 1, 2, 1}
{6, 2, 3, 15, 0, 6, 3, 7, 7, 1}
{6, 2, 3, 13, 0, 6, 11, 4, 4, 1}
{6, 2, 3, 8, 0, 1, 1, 27, 1, 1}
{6, 2, 3, 8, 0, 1, 1, 1, 27, 1}
{6, 2, 3, 7, 0, 12, 3, 12, 4, 1}
{6, 2, 3, 7, 0, 12, 3, 4, 12, 1}
{6, 2, 3, 6, 0, 5, 3, 15, 9, 1}
{6, 2, 3, 6, 0, 5, 3, 9, 15, 1}
{6, 2, 3, 3, 0, 16, 7, 6, 6, 1}
{6, 2, 3, 3, 0, 16, 6, 8, 5, 1}
{6, 2, 3, 3, 0, 16, 6, 5, 8, 1}
{6, 2, 3, 3, 0, 16, 3, 8, 8, 1}
{6, 2, 3, 3, 0, 4, 6, 20, 5, 1}
{6, 2, 3, 3, 0, 4, 6, 5, 20, 1}
{6, 2, 3, 1, 0, 3, 9, 15, 10, 1}
{6, 2, 3, 1, 0, 3, 9, 10, 15, 1}
{6, 2, 2, 12, 0, 3, 6, 9, 9, 1}
{6, 2, 2, 8, 0, 7, 8, 12, 4, 1}
{6, 2, 2, 8, 0, 7, 8, 4, 12, 1}
{6, 2, 2, 6, 0, 6, 15, 6, 6, 1}
{6, 2, 2, 4, 0, 3, 8, 18, 6, 1}
{6, 2, 2, 4, 0, 3, 8, 6, 18, 1}
{6, 2, 2, 2, 0, 8, 11, 12, 6, 1}
{6, 2, 2, 2, 0, 8, 11, 6, 12, 1}
{6, 2, 2, 2, 0, 3, 16, 9, 9, 1}
{6, 2, 2, 1, 0, 1, 1, 33, 3, 1}
{6, 2, 2, 1, 0, 1, 1, 3, 33, 1}
{6, 2, 1, 27, 0, 1, 1, 8, 3, 1}
{6, 2, 1, 27, 0, 1, 1, 3, 8, 1}
{6, 2, 1, 7, 0, 6, 5, 11, 11, 1}
{6, 2, 1, 3, 0, 3, 9, 15, 10, 1}
{6, 2, 1, 3, 0, 3, 9, 10, 15, 1}
{6, 2, 1, 2, 0, 1, 1, 33, 3, 1}
{6, 2, 1, 2, 0, 1, 1, 3, 33, 1}
{5, 30, 5, 2, 0, 1, 2, 3, 1, 1}
{5, 30, 5, 2, 0, 1, 2, 1, 3, 1}
{5, 30, 3, 1, 0, 2, 1, 5, 2, 1}
{5, 30, 3, 1, 0, 2, 1, 2, 5, 1}
{5, 30, 2, 5, 0, 1, 2, 3, 1, 1}
{5, 30, 2, 5, 0, 1, 2, 1, 3, 1}
{5, 30, 1, 3, 0, 2, 1, 5, 2, 1}
{5, 30, 1, 3, 0, 2, 1, 2, 5, 1}
{5, 25, 4, 2, 0, 3, 8, 1, 1, 1}
{5, 25, 2, 4, 0, 3, 8, 1, 1, 1}
{5, 25, 1, 1, 0, 8, 3, 4, 2, 1}
{5, 25, 1, 1, 0, 8, 3, 2, 4, 1}
{5, 20, 10, 2, 0, 3, 3, 5, 1, 1}
{5, 20, 10, 2, 0, 3, 3, 1, 5, 1}
{5, 20, 9, 1, 0, 4, 3, 5, 2, 1}
{5, 20, 9, 1, 0, 4, 3, 2, 5, 1}
{5, 20, 5, 2, 0, 3, 4, 9, 1, 1}
{5, 20, 5, 2, 0, 3, 4, 1, 9, 1}
{5, 20, 5, 1, 0, 9, 3, 4, 2, 1}
{5, 20, 5, 1, 0, 9, 3, 2, 4, 1}
{5, 20, 5, 1, 0, 3, 3, 10, 2, 1}
{5, 20, 5, 1, 0, 3, 3, 2, 10, 1}
{5, 20, 4, 2, 0, 3, 9, 5, 1, 1}
{5, 20, 4, 2, 0, 3, 9, 1, 5, 1}
{5, 20, 2, 10, 0, 3, 3, 5, 1, 1}
{5, 20, 2, 10, 0, 3, 3, 1, 5, 1}
{5, 20, 2, 5, 0, 3, 4, 9, 1, 1}
{5, 20, 2, 5, 0, 3, 4, 1, 9, 1}
{5, 20, 2, 4, 0, 3, 9, 5, 1, 1}
{5, 20, 2, 4, 0, 3, 9, 1, 5, 1}
{5, 20, 1, 9, 0, 4, 3, 5, 2, 1}
{5, 20, 1, 9, 0, 4, 3, 2, 5, 1}
{5, 20, 1, 5, 0, 9, 3, 4, 2, 1}
{5, 20, 1, 5, 0, 9, 3, 2, 4, 1}
{5, 20, 1, 5, 0, 3, 3, 10, 2, 1}
{5, 20, 1, 5, 0, 3, 3, 2, 10, 1}
{5, 16, 13, 1, 0, 5, 3, 3, 3, 1}
{5, 16, 3, 3, 0, 3, 5, 13, 1, 1}
{5, 16, 3, 3, 0, 3, 5, 1, 13, 1}
{5, 16, 1, 13, 0, 5, 3, 3, 3, 1}
{5, 15, 15, 3, 0, 4, 2, 3, 2, 1}
{5, 15, 15, 3, 0, 4, 2, 2, 3, 1}
{5, 15, 3, 15, 0, 4, 2, 3, 2, 1}
{5, 15, 3, 15, 0, 4, 2, 2, 3, 1}
{5, 15, 3, 2, 0, 2, 4, 15, 3, 1}
{5, 15, 3, 2, 0, 2, 4, 3, 15, 1}
{5, 15, 2, 3, 0, 2, 4, 15, 3, 1}
{5, 15, 2, 3, 0, 2, 4, 3, 15, 1}
{5, 14, 11, 2, 0, 3, 4, 9, 1, 1}
{5, 14, 11, 2, 0, 3, 4, 1, 9, 1}
{5, 14, 9, 1, 0, 10, 4, 3, 3, 1}
{5, 14, 9, 1, 0, 4, 3, 11, 2, 1}
{5, 14, 9, 1, 0, 4, 3, 2, 11, 1}
{5, 14, 3, 3, 0, 4, 10, 9, 1, 1}
{5, 14, 3, 3, 0, 4, 10, 1, 9, 1}
{5, 14, 2, 11, 0, 3, 4, 9, 1, 1}
{5, 14, 2, 11, 0, 3, 4, 1, 9, 1}
{5, 14, 1, 9, 0, 10, 4, 3, 3, 1}
{5, 14, 1, 9, 0, 4, 3, 11, 2, 1}
{5, 14, 1, 9, 0, 4, 3, 2, 11, 1}
{5, 13, 6, 2, 0, 15, 2, 3, 3, 1}
{5, 13, 6, 2, 0, 2, 15, 3, 3, 1}
{5, 13, 3, 3, 0, 15, 2, 6, 2, 1}
{5, 13, 3, 3, 0, 15, 2, 2, 6, 1}
{5, 13, 3, 3, 0, 2, 15, 6, 2, 1}
{5, 13, 3, 3, 0, 2, 15, 2, 6, 1}
{5, 13, 2, 6, 0, 15, 2, 3, 3, 1}
{5, 13, 2, 6, 0, 2, 15, 3, 3, 1}
{5, 12, 14, 2, 0, 1, 5, 9, 1, 1}
{5, 12, 14, 2, 0, 1, 5, 1, 9, 1}
{5, 12, 12, 4, 0, 3, 1, 10, 2, 1}
{5, 12, 12, 4, 0, 3, 1, 2, 10, 1}
{5, 12, 10, 2, 0, 1, 3, 12, 4, 1}
{5, 12, 10, 2, 0, 1, 3, 4, 12, 1}
{5, 12, 9, 1, 0, 5, 1, 14, 2, 1}
{5, 12, 9, 1, 0, 5, 1, 2, 14, 1}
{5, 12, 4, 12, 0, 3, 1, 10, 2, 1}
{5, 12, 4, 12, 0, 3, 1, 2, 10, 1}
{5, 12, 2, 14, 0, 1, 5, 9, 1, 1}
{5, 12, 2, 14, 0, 1, 5, 1, 9, 1}
{5, 12, 2, 10, 0, 1, 3, 12, 4, 1}
{5, 12, 2, 10, 0, 1, 3, 4, 12, 1}
{5, 12, 1, 9, 0, 5, 1, 14, 2, 1}
{5, 12, 1, 9, 0, 5, 1, 2, 14, 1}
{5, 11, 14, 2, 0, 9, 1, 4, 3, 1}
{5, 11, 14, 2, 0, 9, 1, 3, 4, 1}
{5, 11, 14, 2, 0, 1, 1, 12, 3, 1}
{5, 11, 14, 2, 0, 1, 1, 3, 12, 1}
{5, 11, 12, 3, 0, 1, 1, 14, 2, 1}
{5, 11, 12, 3, 0, 1, 1, 2, 14, 1}
{5, 11, 12, 2, 0, 1, 10, 6, 2, 1}
{5, 11, 12, 2, 0, 1, 10, 2, 6, 1}
{5, 11, 6, 2, 0, 10, 7, 6, 2, 1}
{5, 11, 6, 2, 0, 10, 7, 2, 6, 1}
{5, 11, 6, 2, 0, 10, 1, 12, 2, 1}
{5, 11, 6, 2, 0, 10, 1, 2, 12, 1}
{5, 11, 6, 2, 0, 7, 10, 6, 2, 1}
{5, 11, 6, 2, 0, 7, 10, 2, 6, 1}
{5, 11, 4, 3, 0, 1, 9, 14, 2, 1}
{5, 11, 4, 3, 0, 1, 9, 2, 14, 1}
{5, 11, 3, 12, 0, 1, 1, 14, 2, 1}
{5, 11, 3, 12, 0, 1, 1, 2, 14, 1}
{5, 11, 3, 4, 0, 1, 9, 14, 2, 1}
{5, 11, 3, 4, 0, 1, 9, 2, 14, 1}
{5, 11, 2, 14, 0, 9, 1, 4, 3, 1}
{5, 11, 2, 14, 0, 9, 1, 3, 4, 1}
{5, 11, 2, 14, 0, 1, 1, 12, 3, 1}
{5, 11, 2, 14, 0, 1, 1, 3, 12, 1}
{5, 11, 2, 12, 0, 1, 10, 6, 2, 1}
{5, 11, 2, 12, 0, 1, 10, 2, 6, 1}
{5, 11, 2, 6, 0, 10, 7, 6, 2, 1}
{5, 11, 2, 6, 0, 10, 7, 2, 6, 1}
{5, 11, 2, 6, 0, 10, 1, 12, 2, 1}
{5, 11, 2, 6, 0, 10, 1, 2, 12, 1}
{5, 11, 2, 6, 0, 7, 10, 6, 2, 1}
{5, 11, 2, 6, 0, 7, 10, 2, 6, 1}
{5, 10, 19, 1, 0, 2, 1, 9, 2, 1}
{5, 10, 19, 1, 0, 2, 1, 2, 9, 1}
{5, 10, 18, 2, 0, 3, 5, 3, 3, 1}
{5, 10, 18, 2, 0, 1, 9, 2, 2, 1}
{5, 10, 18, 2, 0, 1, 7, 3, 3, 1}
{5, 10, 18, 2, 0, 1, 5, 4, 4, 1}
{5, 10, 18, 2, 0, 1, 3, 5, 5, 1}
{5, 10, 18, 2, 0, 1, 1, 6, 6, 1}
{5, 10, 16, 2, 0, 2, 8, 4, 2, 1}
{5, 10, 16, 2, 0, 2, 8, 2, 4, 1}
{5, 10, 15, 1, 0, 1, 4, 12, 1, 1}
{5, 10, 15, 1, 0, 1, 4, 1, 12, 1}
{5, 10, 14, 2, 0, 3, 7, 6, 2, 1}
{5, 10, 14, 2, 0, 3, 7, 2, 6, 1}
{5, 10, 12, 4, 0, 12, 2, 2, 2, 1}
{5, 10, 12, 2, 0, 7, 7, 3, 3, 1}
{5, 10, 12, 2, 0, 4, 6, 8, 2, 1}
{5, 10, 12, 2, 0, 4, 6, 2, 8, 1}
{5, 10, 12, 2, 0, 3, 11, 3, 3, 1}
{5, 10, 12, 1, 0, 4, 1, 15, 1, 1}
{5, 10, 12, 1, 0, 4, 1, 1, 15, 1}
{5, 10, 10, 5, 0, 5, 5, 5, 4, 1}
{5, 10, 10, 5, 0, 5, 5, 4, 5, 1}
{5, 10, 10, 2, 0, 5, 5, 10, 2, 1}
{5, 10, 10, 2, 0, 5, 5, 2, 10, 1}
{5, 10, 9, 2, 0, 1, 2, 19, 1, 1}
{5, 10, 9, 2, 0, 1, 2, 1, 19, 1}
{5, 10, 8, 2, 0, 6, 4, 12, 2, 1}
{5, 10, 8, 2, 0, 6, 4, 2, 12, 1}
{5, 10, 7, 3, 0, 6, 8, 5, 5, 1}
{5, 10, 6, 6, 0, 9, 5, 4, 4, 1}
{5, 10, 6, 6, 0, 1, 1, 18, 2, 1}
{5, 10, 6, 6, 0, 1, 1, 2, 18, 1}
{5, 10, 6, 2, 0, 7, 3, 14, 2, 1}
{5, 10, 6, 2, 0, 7, 3, 2, 14, 1}
{5, 10, 5, 10, 0, 5, 5, 5, 4, 1}
{5, 10, 5, 10, 0, 5, 5, 4, 5, 1}
{5, 10, 5, 5, 0, 8, 6, 7, 3, 1}
{5, 10, 5, 5, 0, 8, 6, 3, 7, 1}
{5, 10, 5, 5, 0, 3, 1, 18, 2, 1}
{5, 10, 5, 5, 0, 3, 1, 2, 18, 1}
{5, 10, 5, 4, 0, 5, 5, 10, 5, 1}
{5, 10, 5, 4, 0, 5, 5, 5, 10, 1}
{5, 10, 4, 12, 0, 12, 2, 2, 2, 1}
{5, 10, 4, 5, 0, 5, 5, 10, 5, 1}
{5, 10, 4, 5, 0, 5, 5, 5, 10, 1}
{5, 10, 4, 4, 0, 5, 9, 6, 6, 1}
{5, 10, 4, 4, 0, 5, 1, 18, 2, 1}
{5, 10, 4, 4, 0, 5, 1, 2, 18, 1}
{5, 10, 4, 2, 0, 8, 2, 16, 2, 1}
{5, 10, 4, 2, 0, 8, 2, 2, 16, 1}
{5, 10, 3, 7, 0, 6, 8, 5, 5, 1}
{5, 10, 3, 3, 0, 11, 3, 12, 2, 1}
{5, 10, 3, 3, 0, 11, 3, 2, 12, 1}
{5, 10, 3, 3, 0, 7, 7, 12, 2, 1}
{5, 10, 3, 3, 0, 7, 7, 2, 12, 1}
{5, 10, 3, 3, 0, 7, 1, 18, 2, 1}
{5, 10, 3, 3, 0, 7, 1, 2, 18, 1}
{5, 10, 3, 3, 0, 5, 3, 18, 2, 1}
{5, 10, 3, 3, 0, 5, 3, 2, 18, 1}
{5, 10, 2, 18, 0, 3, 5, 3, 3, 1}
{5, 10, 2, 18, 0, 1, 9, 2, 2, 1}
{5, 10, 2, 18, 0, 1, 7, 3, 3, 1}
{5, 10, 2, 18, 0, 1, 5, 4, 4, 1}
{5, 10, 2, 18, 0, 1, 3, 5, 5, 1}
{5, 10, 2, 18, 0, 1, 1, 6, 6, 1}
{5, 10, 2, 16, 0, 2, 8, 4, 2, 1}
{5, 10, 2, 16, 0, 2, 8, 2, 4, 1}
{5, 10, 2, 14, 0, 3, 7, 6, 2, 1}
{5, 10, 2, 14, 0, 3, 7, 2, 6, 1}
{5, 10, 2, 12, 0, 7, 7, 3, 3, 1}
{5, 10, 2, 12, 0, 4, 6, 8, 2, 1}
{5, 10, 2, 12, 0, 4, 6, 2, 8, 1}
{5, 10, 2, 12, 0, 3, 11, 3, 3, 1}
{5, 10, 2, 10, 0, 5, 5, 10, 2, 1}
{5, 10, 2, 10, 0, 5, 5, 2, 10, 1}
{5, 10, 2, 9, 0, 1, 2, 19, 1, 1}
{5, 10, 2, 9, 0, 1, 2, 1, 19, 1}
{5, 10, 2, 8, 0, 6, 4, 12, 2, 1}
{5, 10, 2, 8, 0, 6, 4, 2, 12, 1}
{5, 10, 2, 6, 0, 7, 3, 14, 2, 1}
{5, 10, 2, 6, 0, 7, 3, 2, 14, 1}
{5, 10, 2, 4, 0, 8, 2, 16, 2, 1}
{5, 10, 2, 4, 0, 8, 2, 2, 16, 1}
{5, 10, 2, 2, 0, 9, 1, 18, 2, 1}
{5, 10, 2, 2, 0, 9, 1, 2, 18, 1}
{5, 10, 2, 2, 0, 2, 12, 12, 4, 1}
{5, 10, 2, 2, 0, 2, 12, 4, 12, 1}
{5, 10, 1, 19, 0, 2, 1, 9, 2, 1}
{5, 10, 1, 19, 0, 2, 1, 2, 9, 1}
{5, 10, 1, 15, 0, 1, 4, 12, 1, 1}
{5, 10, 1, 15, 0, 1, 4, 1, 12, 1}
{5, 10, 1, 12, 0, 4, 1, 15, 1, 1}
{5, 10, 1, 12, 0, 4, 1, 1, 15, 1}
{5, 9, 10, 4, 0, 9, 2, 8, 2, 1}
{5, 9, 10, 4, 0, 9, 2, 2, 8, 1}
{5, 9, 8, 5, 0, 16, 2, 3, 1, 1}
{5, 9, 8, 5, 0, 16, 2, 1, 3, 1}
{5, 9, 8, 2, 0, 2, 9, 10, 4, 1}
{5, 9, 8, 2, 0, 2, 9, 4, 10, 1}
{5, 9, 5, 8, 0, 16, 2, 3, 1, 1}
{5, 9, 5, 8, 0, 16, 2, 1, 3, 1}
{5, 9, 4, 10, 0, 9, 2, 8, 2, 1}
{5, 9, 4, 10, 0, 9, 2, 2, 8, 1}
{5, 9, 3, 1, 0, 2, 16, 8, 5, 1}
{5, 9, 3, 1, 0, 2, 16, 5, 8, 1}
{5, 9, 2, 8, 0, 2, 9, 10, 4, 1}
{5, 9, 2, 8, 0, 2, 9, 4, 10, 1}
{5, 9, 1, 3, 0, 2, 16, 8, 5, 1}
{5, 9, 1, 3, 0, 2, 16, 5, 8, 1}
{5, 8, 20, 2, 0, 3, 1, 6, 4, 1}
{5, 8, 20, 2, 0, 3, 1, 4, 6, 1}
{5, 8, 19, 3, 0, 7, 3, 2, 2, 1}
{5, 8, 18, 6, 0, 1, 3, 6, 2, 1}
{5, 8, 18, 6, 0, 1, 3, 2, 6, 1}
{5, 8, 15, 3, 0, 9, 3, 3, 3, 1}
{5, 8, 15, 3, 0, 9, 1, 4, 4, 1}
{5, 8, 12, 2, 0, 12, 2, 4, 4, 1}
{5, 8, 8, 3, 0, 13, 4, 5, 3, 1}
{5, 8, 8, 3, 0, 13, 4, 3, 5, 1}
{5, 8, 7, 3, 0, 7, 9, 5, 5, 1}
{5, 8, 6, 18, 0, 1, 3, 6, 2, 1}
{5, 8, 6, 18, 0, 1, 3, 2, 6, 1}
{5, 8, 6, 4, 0, 1, 3, 20, 2, 1}
{5, 8, 6, 4, 0, 1, 3, 2, 20, 1}
{5, 8, 6, 2, 0, 3, 1, 18, 6, 1}
{5, 8, 6, 2, 0, 3, 1, 6, 18, 1}
{5, 8, 5, 5, 0, 9, 7, 7, 3, 1}
{5, 8, 5, 5, 0, 9, 7, 3, 7, 1}
{5, 8, 5, 3, 0, 9, 11, 4, 4, 1}
{5, 8, 5, 3, 0, 4, 13, 8, 3, 1}
{5, 8, 5, 3, 0, 4, 13, 3, 8, 1}
{5, 8, 4, 6, 0, 1, 3, 20, 2, 1}
{5, 8, 4, 6, 0, 1, 3, 2, 20, 1}
{5, 8, 4, 4, 0, 11, 9, 5, 3, 1}
{5, 8, 4, 4, 0, 11, 9, 3, 5, 1}
{5, 8, 4, 4, 0, 2, 12, 12, 2, 1}
{5, 8, 4, 4, 0, 2, 12, 2, 12, 1}
{5, 8, 4, 4, 0, 1, 9, 15, 3, 1}
{5, 8, 4, 4, 0, 1, 9, 3, 15, 1}
{5, 8, 3, 19, 0, 7, 3, 2, 2, 1}
{5, 8, 3, 15, 0, 9, 3, 3, 3, 1}
{5, 8, 3, 15, 0, 9, 1, 4, 4, 1}
{5, 8, 3, 8, 0, 13, 4, 5, 3, 1}
{5, 8, 3, 8, 0, 13, 4, 3, 5, 1}
{5, 8, 3, 7, 0, 7, 9, 5, 5, 1}
{5, 8, 3, 5, 0, 9, 11, 4, 4, 1}
{5, 8, 3, 5, 0, 4, 13, 8, 3, 1}
{5, 8, 3, 5, 0, 4, 13, 3, 8, 1}
{5, 8, 3, 3, 0, 3, 9, 15, 3, 1}
{5, 8, 3, 3, 0, 3, 9, 3, 15, 1}
{5, 8, 2, 20, 0, 3, 1, 6, 4, 1}
{5, 8, 2, 20, 0, 3, 1, 4, 6, 1}
{5, 8, 2, 12, 0, 12, 2, 4, 4, 1}
{5, 8, 2, 6, 0, 3, 1, 18, 6, 1}
{5, 8, 2, 6, 0, 3, 1, 6, 18, 1}
{5, 8, 2, 2, 0, 3, 7, 19, 3, 1}
{5, 8, 2, 2, 0, 3, 7, 3, 19, 1}
{5, 7, 18, 6, 0, 2, 3, 6, 2, 1}
{5, 7, 18, 6, 0, 2, 3, 2, 6, 1}
{5, 7, 18, 3, 0, 3, 4, 6, 3, 1}
{5, 7, 18, 3, 0, 3, 4, 3, 6, 1}
{5, 7, 15, 5, 0, 6, 2, 6, 3, 1}
{5, 7, 15, 5, 0, 6, 2, 3, 6, 1}
{5, 7, 14, 3, 0, 4, 1, 12, 3, 1}
{5, 7, 14, 3, 0, 4, 1, 3, 12, 1}
{5, 7, 13, 13, 0, 2, 3, 4, 2, 1}
{5, 7, 13, 13, 0, 2, 3, 2, 4, 1}
{5, 7, 13, 3, 0, 6, 2, 10, 3, 1}
{5, 7, 13, 3, 0, 6, 2, 3, 10, 1}
{5, 7, 12, 3, 0, 1, 4, 14, 3, 1}
{5, 7, 12, 3, 0, 1, 4, 3, 14, 1}
{5, 7, 10, 3, 0, 9, 6, 6, 3, 1}
{5, 7, 10, 3, 0, 9, 6, 3, 6, 1}
{5, 7, 10, 3, 0, 2, 6, 13, 3, 1}
{5, 7, 10, 3, 0, 2, 6, 3, 13, 1}
{5, 7, 7, 7, 0, 14, 2, 4, 3, 1}
{5, 7, 7, 7, 0, 14, 2, 3, 4, 1}
{5, 7, 7, 7, 0, 12, 2, 6, 3, 1}
{5, 7, 7, 7, 0, 12, 2, 3, 6, 1}
{5, 7, 6, 18, 0, 2, 3, 6, 2, 1}
{5, 7, 6, 18, 0, 2, 3, 2, 6, 1}
{5, 7, 6, 3, 0, 6, 9, 10, 3, 1}
{5, 7, 6, 3, 0, 6, 9, 3, 10, 1}
{5, 7, 6, 3, 0, 4, 3, 18, 3, 1}
{5, 7, 6, 3, 0, 4, 3, 3, 18, 1}
{5, 7, 6, 3, 0, 2, 12, 7, 7, 1}
{5, 7, 6, 3, 0, 2, 6, 15, 5, 1}
{5, 7, 6, 3, 0, 2, 6, 5, 15, 1}
{5, 7, 6, 2, 0, 3, 2, 18, 6, 1}
{5, 7, 6, 2, 0, 3, 2, 6, 18, 1}
{5, 7, 5, 15, 0, 6, 2, 6, 3, 1}
{5, 7, 5, 15, 0, 6, 2, 3, 6, 1}
{5, 7, 4, 3, 0, 2, 14, 7, 7, 1}
{5, 7, 4, 2, 0, 3, 2, 13, 13, 1}
{5, 7, 3, 18, 0, 3, 4, 6, 3, 1}
{5, 7, 3, 18, 0, 3, 4, 3, 6, 1}
{5, 7, 3, 14, 0, 4, 1, 12, 3, 1}
{5, 7, 3, 14, 0, 4, 1, 3, 12, 1}
{5, 7, 3, 13, 0, 6, 2, 10, 3, 1}
{5, 7, 3, 13, 0, 6, 2, 3, 10, 1}
{5, 7, 3, 12, 0, 1, 4, 14, 3, 1}
{5, 7, 3, 12, 0, 1, 4, 3, 14, 1}
{5, 7, 3, 10, 0, 9, 6, 6, 3, 1}
{5, 7, 3, 10, 0, 9, 6, 3, 6, 1}
{5, 7, 3, 10, 0, 2, 6, 13, 3, 1}
{5, 7, 3, 10, 0, 2, 6, 3, 13, 1}
{5, 7, 3, 6, 0, 6, 9, 10, 3, 1}
{5, 7, 3, 6, 0, 6, 9, 3, 10, 1}
{5, 7, 3, 6, 0, 4, 3, 18, 3, 1}
{5, 7, 3, 6, 0, 4, 3, 3, 18, 1}
{5, 7, 3, 6, 0, 2, 12, 7, 7, 1}
{5, 7, 3, 6, 0, 2, 6, 15, 5, 1}
{5, 7, 3, 6, 0, 2, 6, 5, 15, 1}
{5, 7, 3, 4, 0, 2, 14, 7, 7, 1}
{5, 7, 2, 6, 0, 3, 2, 18, 6, 1}
{5, 7, 2, 6, 0, 3, 2, 6, 18, 1}
{5, 7, 2, 4, 0, 3, 2, 13, 13, 1}
{5, 6, 29, 1, 0, 5, 1, 1, 1, 1}
{5, 6, 25, 1, 0, 1, 5, 5, 1, 1}
{5, 6, 25, 1, 0, 1, 5, 1, 5, 1}
{5, 6, 21, 7, 0, 3, 3, 3, 1, 1}
{5, 6, 21, 7, 0, 3, 3, 1, 3, 1}
{5, 6, 18, 6, 0, 3, 3, 6, 2, 1}
{5, 6, 18, 6, 0, 3, 3, 2, 6, 1}
{5, 6, 15, 5, 0, 3, 3, 9, 3, 1}
{5, 6, 15, 5, 0, 3, 3, 3, 9, 1}
{5, 6, 15, 3, 0, 4, 8, 6, 2, 1}
{5, 6, 15, 3, 0, 4, 8, 2, 6, 1}
{5, 6, 15, 3, 0, 3, 9, 4, 4, 1}
{5, 6, 15, 3, 0, 3, 3, 7, 7, 1}
{5, 6, 14, 2, 0, 6, 1, 9, 6, 1}
{5, 6, 14, 2, 0, 6, 1, 6, 9, 1}
{5, 6, 14, 2, 0, 4, 2, 10, 6, 1}
{5, 6, 14, 2, 0, 4, 2, 6, 10, 1}
{5, 6, 13, 3, 0, 3, 11, 4, 4, 1}
{5, 6, 12, 10, 0, 6, 2, 4, 4, 1}
{5, 6, 12, 4, 0, 9, 1, 8, 4, 1}
{5, 6, 12, 4, 0, 9, 1, 4, 8, 1}
{5, 6, 12, 4, 0, 3, 3, 12, 4, 1}
{5, 6, 12, 4, 0, 3, 3, 4, 12, 1}
{5, 6, 10, 12, 0, 6, 2, 4, 4, 1}
{5, 6, 10, 10, 0, 1, 5, 10, 2, 1}
{5, 6, 10, 10, 0, 1, 5, 2, 10, 1}
{5, 6, 10, 6, 0, 2, 4, 14, 2, 1}
{5, 6, 10, 6, 0, 2, 4, 2, 14, 1}
{5, 6, 10, 2, 0, 5, 1, 10, 10, 1}
{5, 6, 9, 6, 0, 1, 6, 14, 2, 1}
{5, 6, 9, 6, 0, 1, 6, 2, 14, 1}
{5, 6, 9, 3, 0, 3, 3, 15, 5, 1}
{5, 6, 9, 3, 0, 3, 3, 5, 15, 1}
{5, 6, 8, 4, 0, 1, 9, 12, 4, 1}
{5, 6, 8, 4, 0, 1, 9, 4, 12, 1}
{5, 6, 7, 21, 0, 3, 3, 3, 1, 1}
{5, 6, 7, 21, 0, 3, 3, 1, 3, 1}
{5, 6, 7, 7, 0, 12, 2, 5, 5, 1}
{5, 6, 7, 7, 0, 3, 3, 15, 3, 1}
{5, 6, 7, 7, 0, 3, 3, 3, 15, 1}
{5, 6, 6, 18, 0, 3, 3, 6, 2, 1}
{5, 6, 6, 18, 0, 3, 3, 2, 6, 1}
{5, 6, 6, 10, 0, 2, 4, 14, 2, 1}
{5, 6, 6, 10, 0, 2, 4, 2, 14, 1}
{5, 6, 6, 9, 0, 1, 6, 14, 2, 1}
{5, 6, 6, 9, 0, 1, 6, 2, 14, 1}
{5, 6, 6, 2, 0, 8, 4, 15, 3, 1}
{5, 6, 6, 2, 0, 8, 4, 3, 15, 1}
{5, 6, 6, 2, 0, 3, 3, 18, 6, 1}
{5, 6, 6, 2, 0, 3, 3, 6, 18, 1}
{5, 6, 5, 15, 0, 3, 3, 9, 3, 1}
{5, 6, 5, 15, 0, 3, 3, 3, 9, 1}
{5, 6, 5, 5, 0, 2, 12, 7, 7, 1}
{5, 6, 5, 1, 0, 5, 1, 25, 1, 1}
{5, 6, 5, 1, 0, 5, 1, 1, 25, 1}
{5, 6, 4, 12, 0, 9, 1, 8, 4, 1}
{5, 6, 4, 12, 0, 9, 1, 4, 8, 1}
{5, 6, 4, 12, 0, 3, 3, 12, 4, 1}
{5, 6, 4, 12, 0, 3, 3, 4, 12, 1}
{5, 6, 4, 8, 0, 1, 9, 12, 4, 1}
{5, 6, 4, 8, 0, 1, 9, 4, 12, 1}
{5, 6, 4, 4, 0, 11, 3, 13, 3, 1}
{5, 6, 4, 4, 0, 11, 3, 3, 13, 1}
{5, 6, 4, 4, 0, 9, 3, 15, 3, 1}
{5, 6, 4, 4, 0, 9, 3, 3, 15, 1}
{5, 6, 4, 4, 0, 2, 6, 12, 10, 1}
{5, 6, 4, 4, 0, 2, 6, 10, 12, 1}
{5, 6, 3, 15, 0, 4, 8, 6, 2, 1}
{5, 6, 3, 15, 0, 4, 8, 2, 6, 1}
{5, 6, 3, 15, 0, 3, 9, 4, 4, 1}
{5, 6, 3, 15, 0, 3, 3, 7, 7, 1}
{5, 6, 3, 13, 0, 3, 11, 4, 4, 1}
{5, 6, 3, 9, 0, 3, 3, 15, 5, 1}
{5, 6, 3, 9, 0, 3, 3, 5, 15, 1}
{5, 6, 3, 1, 0, 3, 3, 21, 7, 1}
{5, 6, 3, 1, 0, 3, 3, 7, 21, 1}
{5, 6, 2, 14, 0, 6, 1, 9, 6, 1}
{5, 6, 2, 14, 0, 6, 1, 6, 9, 1}
{5, 6, 2, 14, 0, 4, 2, 10, 6, 1}
{5, 6, 2, 14, 0, 4, 2, 6, 10, 1}
{5, 6, 2, 10, 0, 5, 1, 10, 10, 1}
{5, 6, 2, 6, 0, 8, 4, 15, 3, 1}
{5, 6, 2, 6, 0, 8, 4, 3, 15, 1}
{5, 6, 2, 6, 0, 3, 3, 18, 6, 1}
{5, 6, 2, 6, 0, 3, 3, 6, 18, 1}
{5, 6, 1, 29, 0, 5, 1, 1, 1, 1}
{5, 6, 1, 25, 0, 1, 5, 5, 1, 1}
{5, 6, 1, 25, 0, 1, 5, 1, 5, 1}
{5, 6, 1, 5, 0, 5, 1, 25, 1, 1}
{5, 6, 1, 5, 0, 5, 1, 1, 25, 1}
{5, 6, 1, 3, 0, 3, 3, 21, 7, 1}
{5, 6, 1, 3, 0, 3, 3, 7, 21, 1}
{5, 6, 1, 1, 0, 1, 5, 29, 1, 1}
{5, 6, 1, 1, 0, 1, 5, 1, 29, 1}
{5, 5, 30, 2, 0, 1, 2, 3, 1, 1}
{5, 5, 30, 2, 0, 1, 2, 1, 3, 1}
{5, 5, 19, 4, 0, 2, 8, 3, 3, 1}
{5, 5, 19, 1, 0, 2, 1, 14, 2, 1}
{5, 5, 19, 1, 0, 2, 1, 2, 14, 1}
{5, 5, 18, 6, 0, 11, 2, 1, 1, 1}
{5, 5, 18, 6, 0, 2, 5, 4, 4, 1}
{5, 5, 15, 4, 0, 4, 5, 10, 1, 1}
{5, 5, 15, 4, 0, 4, 5, 1, 10, 1}
{5, 5, 15, 3, 0, 6, 7, 4, 4, 1}
{5, 5, 15, 3, 0, 6, 3, 6, 6, 1}
{5, 5, 15, 3, 0, 4, 7, 6, 4, 1}
{5, 5, 15, 3, 0, 4, 7, 4, 6, 1}
{5, 5, 14, 4, 0, 7, 4, 9, 1, 1}
{5, 5, 14, 4, 0, 7, 4, 1, 9, 1}
{5, 5, 14, 2, 0, 1, 2, 19, 1, 1}
{5, 5, 14, 2, 0, 1, 2, 1, 19, 1}
{5, 5, 13, 6, 0, 16, 2, 1, 1, 1}
{5, 5, 12, 8, 0, 9, 2, 4, 4, 1}
{5, 5, 12, 8, 0, 1, 16, 1, 1, 1}
{5, 5, 12, 8, 0, 1, 14, 2, 2, 1}
{5, 5, 12, 8, 0, 1, 12, 3, 3, 1}
{5, 5, 12, 8, 0, 1, 10, 4, 4, 1}
{5, 5, 12, 8, 0, 1, 8, 5, 5, 1}
{5, 5, 12, 8, 0, 1, 6, 6, 6, 1}
{5, 5, 12, 8, 0, 1, 4, 7, 7, 1}
{5, 5, 12, 8, 0, 1, 2, 8, 8, 1}
{5, 5, 12, 3, 0, 11, 3, 5, 5, 1}
{5, 5, 12, 3, 0, 7, 8, 6, 3, 1}
{5, 5, 12, 3, 0, 7, 8, 3, 6, 1}
{5, 5, 11, 3, 0, 10, 7, 4, 4, 1}
{5, 5, 11, 3, 0, 6, 11, 4, 4, 1}
{5, 5, 10, 10, 0, 2, 1, 8, 8, 1}
{5, 5, 10, 10, 0, 1, 10, 5, 3, 1}
{5, 5, 10, 10, 0, 1, 10, 3, 5, 1}
{5, 5, 10, 9, 0, 1, 8, 7, 4, 1}
{5, 5, 10, 9, 0, 1, 8, 4, 7, 1}
{5, 5, 10, 6, 0, 4, 1, 9, 9, 1}
{5, 5, 10, 4, 0, 2, 13, 6, 4, 1}
{5, 5, 10, 4, 0, 2, 13, 4, 6, 1}
{5, 5, 10, 1, 0, 5, 4, 15, 4, 1}
{5, 5, 10, 1, 0, 5, 4, 4, 15, 1}
{5, 5, 9, 10, 0, 1, 8, 7, 4, 1}
{5, 5, 9, 10, 0, 1, 8, 4, 7, 1}
{5, 5, 9, 9, 0, 10, 2, 6, 3, 1}
{5, 5, 9, 9, 0, 10, 2, 3, 6, 1}
{5, 5, 9, 9, 0, 2, 4, 9, 6, 1}
{5, 5, 9, 9, 0, 2, 4, 6, 9, 1}
{5, 5, 9, 9, 0, 1, 16, 3, 1, 1}
{5, 5, 9, 9, 0, 1, 16, 1, 3, 1}
{5, 5, 9, 9, 0, 1, 11, 6, 3, 1}
{5, 5, 9, 9, 0, 1, 11, 3, 6, 1}
{5, 5, 9, 9, 0, 1, 4, 10, 6, 1}
{5, 5, 9, 9, 0, 1, 4, 6, 10, 1}
{5, 5, 9, 6, 0, 4, 2, 9, 9, 1}
{5, 5, 9, 3, 0, 6, 10, 8, 3, 1}
{5, 5, 9, 3, 0, 6, 10, 3, 8, 1}
{5, 5, 9, 1, 0, 4, 7, 14, 4, 1}
{5, 5, 9, 1, 0, 4, 7, 4, 14, 1}
{5, 5, 8, 12, 0, 9, 2, 4, 4, 1}
{5, 5, 8, 12, 0, 1, 16, 1, 1, 1}
{5, 5, 8, 12, 0, 1, 14, 2, 2, 1}
{5, 5, 8, 12, 0, 1, 12, 3, 3, 1}
{5, 5, 8, 12, 0, 1, 10, 4, 4, 1}
{5, 5, 8, 12, 0, 1, 8, 5, 5, 1}
{5, 5, 8, 12, 0, 1, 6, 6, 6, 1}
{5, 5, 8, 12, 0, 1, 4, 7, 7, 1}
{5, 5, 8, 12, 0, 1, 2, 8, 8, 1}
{5, 5, 8, 8, 0, 19, 2, 1, 1, 1}
{5, 5, 8, 8, 0, 17, 2, 2, 2, 1}
{5, 5, 8, 8, 0, 15, 2, 3, 3, 1}
{5, 5, 8, 8, 0, 13, 2, 4, 4, 1}
{5, 5, 8, 8, 0, 9, 2, 6, 6, 1}
{5, 5, 8, 8, 0, 6, 1, 8, 8, 1}
{5, 5, 8, 8, 0, 5, 2, 8, 8, 1}
{5, 5, 8, 8, 0, 2, 5, 8, 8, 1}
{5, 5, 8, 8, 0, 2, 1, 12, 8, 1}
{5, 5, 8, 8, 0, 2, 1, 8, 12, 1}
{5, 5, 8, 8, 0, 1, 20, 1, 1, 1}
{5, 5, 8, 8, 0, 1, 18, 2, 2, 1}
{5, 5, 8, 8, 0, 1, 16, 3, 3, 1}
{5, 5, 8, 8, 0, 1, 14, 4, 4, 1}
{5, 5, 8, 8, 0, 1, 12, 5, 5, 1}
{5, 5, 8, 8, 0, 1, 10, 6, 6, 1}
{5, 5, 8, 8, 0, 1, 8, 7, 7, 1}
{5, 5, 8, 8, 0, 1, 6, 8, 8, 1}
{5, 5, 8, 8, 0, 1, 2, 10, 10, 1}
{5, 5, 8, 4, 0, 3, 16, 6, 2, 1}
{5, 5, 8, 4, 0, 3, 16, 2, 6, 1}
{5, 5, 8, 3, 0, 10, 6, 9, 3, 1}
{5, 5, 8, 3, 0, 10, 6, 3, 9, 1}
{5, 5, 8, 2, 0, 11, 8, 5, 5, 1}
{5, 5, 7, 7, 0, 8, 1, 8, 8, 1}
{5, 5, 7, 7, 0, 4, 1, 12, 8, 1}
{5, 5, 7, 7, 0, 4, 1, 8, 12, 1}
{5, 5, 7, 4, 0, 14, 8, 3, 3, 1}
{5, 5, 7, 4, 0, 8, 1, 10, 9, 1}
{5, 5, 7, 4, 0, 8, 1, 9, 10, 1}
{5, 5, 7, 3, 0, 16, 3, 5, 5, 1}
{5, 5, 6, 18, 0, 11, 2, 1, 1, 1}
{5, 5, 6, 18, 0, 2, 5, 4, 4, 1}
{5, 5, 6, 13, 0, 16, 2, 1, 1, 1}
{5, 5, 6, 10, 0, 4, 1, 9, 9, 1}
{5, 5, 6, 9, 0, 4, 2, 9, 9, 1}
{5, 5, 6, 6, 0, 10, 1, 8, 8, 1}
{5, 5, 6, 6, 0, 6, 1, 12, 8, 1}
{5, 5, 6, 6, 0, 6, 1, 8, 12, 1}
{5, 5, 6, 6, 0, 3, 6, 15, 3, 1}
{5, 5, 6, 6, 0, 3, 6, 3, 15, 1}
{5, 5, 6, 6, 0, 2, 9, 8, 8, 1}
{5, 5, 6, 5, 0, 16, 9, 2, 1, 1}
{5, 5, 6, 5, 0, 16, 9, 1, 2, 1}
{5, 5, 6, 4, 0, 16, 5, 4, 4, 1}
{5, 5, 6, 4, 0, 13, 2, 10, 4, 1}
{5, 5, 6, 4, 0, 13, 2, 4, 10, 1}
{5, 5, 6, 4, 0, 7, 4, 15, 3, 1}
{5, 5, 6, 4, 0, 7, 4, 3, 15, 1}
{5, 5, 6, 4, 0, 4, 17, 4, 4, 1}
{5, 5, 6, 3, 0, 11, 1, 9, 9, 1}
{5, 5, 6, 3, 0, 8, 7, 12, 3, 1}
{5, 5, 6, 3, 0, 8, 7, 3, 12, 1}
{5, 5, 6, 3, 0, 2, 10, 9, 9, 1}
{5, 5, 6, 2, 0, 16, 3, 8, 4, 1}
{5, 5, 6, 2, 0, 16, 3, 4, 8, 1}
{5, 5, 5, 6, 0, 16, 9, 2, 1, 1}
{5, 5, 5, 6, 0, 16, 9, 1, 2, 1}
{5, 5, 5, 5, 0, 12, 11, 3, 3, 1}
{5, 5, 5, 5, 0, 12, 1, 8, 8, 1}
{5, 5, 5, 5, 0, 8, 11, 8, 2, 1}
{5, 5, 5, 5, 0, 8, 11, 2, 8, 1}
{5, 5, 5, 5, 0, 8, 1, 12, 8, 1}
{5, 5, 5, 5, 0, 8, 1, 8, 12, 1}
{5, 5, 5, 5, 0, 7, 16, 3, 3, 1}
{5, 5, 5, 5, 0, 3, 16, 7, 3, 1}
{5, 5, 5, 5, 0, 3, 16, 3, 7, 1}
{5, 5, 5, 5, 0, 3, 11, 12, 3, 1}
{5, 5, 5, 5, 0, 3, 11, 3, 12, 1}
{5, 5, 5, 3, 0, 10, 1, 10, 10, 1}
{5, 5, 4, 19, 0, 2, 8, 3, 3, 1}
{5, 5, 4, 15, 0, 4, 5, 10, 1, 1}
{5, 5, 4, 15, 0, 4, 5, 1, 10, 1}
{5, 5, 4, 14, 0, 7, 4, 9, 1, 1}
{5, 5, 4, 14, 0, 7, 4, 1, 9, 1}
{5, 5, 4, 10, 0, 2, 13, 6, 4, 1}
{5, 5, 4, 10, 0, 2, 13, 4, 6, 1}
{5, 5, 4, 8, 0, 3, 16, 6, 2, 1}
{5, 5, 4, 8, 0, 3, 16, 2, 6, 1}
{5, 5, 4, 7, 0, 14, 8, 3, 3, 1}
{5, 5, 4, 7, 0, 8, 1, 10, 9, 1}
{5, 5, 4, 7, 0, 8, 1, 9, 10, 1}
{5, 5, 4, 6, 0, 16, 5, 4, 4, 1}
{5, 5, 4, 6, 0, 13, 2, 10, 4, 1}
{5, 5, 4, 6, 0, 13, 2, 4, 10, 1}
{5, 5, 4, 6, 0, 7, 4, 15, 3, 1}
{5, 5, 4, 6, 0, 7, 4, 3, 15, 1}
{5, 5, 4, 6, 0, 4, 17, 4, 4, 1}
{5, 5, 4, 4, 0, 17, 4, 6, 4, 1}
{5, 5, 4, 4, 0, 17, 4, 4, 6, 1}
{5, 5, 4, 4, 0, 14, 1, 8, 8, 1}
{5, 5, 4, 4, 0, 11, 6, 11, 3, 1}
{5, 5, 4, 4, 0, 11, 6, 3, 11, 1}
{5, 5, 4, 4, 0, 10, 1, 12, 8, 1}
{5, 5, 4, 4, 0, 10, 1, 8, 12, 1}
{5, 5, 4, 4, 0, 7, 10, 11, 3, 1}
{5, 5, 4, 4, 0, 7, 10, 3, 11, 1}
{5, 5, 4, 4, 0, 7, 6, 15, 3, 1}
{5, 5, 4, 4, 0, 7, 6, 3, 15, 1}
{5, 5, 4, 4, 0, 5, 16, 6, 4, 1}
{5, 5, 4, 4, 0, 5, 16, 4, 6, 1}
{5, 5, 4, 4, 0, 5, 2, 18, 6, 1}
{5, 5, 4, 4, 0, 5, 2, 6, 18, 1}
{5, 5, 4, 4, 0, 2, 13, 8, 8, 1}
{5, 5, 4, 4, 0, 2, 9, 12, 8, 1}
{5, 5, 4, 4, 0, 2, 9, 8, 12, 1}
{5, 5, 3, 15, 0, 6, 7, 4, 4, 1}
{5, 5, 3, 15, 0, 6, 3, 6, 6, 1}
{5, 5, 3, 15, 0, 4, 7, 6, 4, 1}
{5, 5, 3, 15, 0, 4, 7, 4, 6, 1}
{5, 5, 3, 12, 0, 11, 3, 5, 5, 1}
{5, 5, 3, 12, 0, 7, 8, 6, 3, 1}
{5, 5, 3, 12, 0, 7, 8, 3, 6, 1}
{5, 5, 3, 11, 0, 10, 7, 4, 4, 1}
{5, 5, 3, 11, 0, 6, 11, 4, 4, 1}
{5, 5, 3, 9, 0, 6, 10, 8, 3, 1}
{5, 5, 3, 9, 0, 6, 10, 3, 8, 1}
{5, 5, 3, 8, 0, 10, 6, 9, 3, 1}
{5, 5, 3, 8, 0, 10, 6, 3, 9, 1}
{5, 5, 3, 7, 0, 16, 3, 5, 5, 1}
{5, 5, 3, 6, 0, 11, 1, 9, 9, 1}
{5, 5, 3, 6, 0, 8, 7, 12, 3, 1}
{5, 5, 3, 6, 0, 8, 7, 3, 12, 1}
{5, 5, 3, 6, 0, 2, 10, 9, 9, 1}
{5, 5, 3, 5, 0, 10, 1, 10, 10, 1}
{5, 5, 3, 3, 0, 16, 7, 5, 5, 1}
{5, 5, 3, 3, 0, 16, 1, 8, 8, 1}
{5, 5, 3, 3, 0, 12, 1, 12, 8, 1}
{5, 5, 3, 3, 0, 12, 1, 8, 12, 1}
{5, 5, 3, 3, 0, 11, 12, 5, 5, 1}
{5, 5, 3, 3, 0, 8, 14, 7, 4, 1}
{5, 5, 3, 3, 0, 8, 14, 4, 7, 1}
{5, 5, 3, 3, 0, 8, 2, 19, 4, 1}
{5, 5, 3, 3, 0, 8, 2, 4, 19, 1}
{5, 5, 3, 3, 0, 2, 15, 8, 8, 1}
{5, 5, 3, 1, 0, 16, 1, 9, 9, 1}
{5, 5, 3, 1, 0, 2, 1, 30, 2, 1}
{5, 5, 3, 1, 0, 2, 1, 2, 30, 1}
{5, 5, 2, 30, 0, 1, 2, 3, 1, 1}
{5, 5, 2, 30, 0, 1, 2, 1, 3, 1}
{5, 5, 2, 14, 0, 1, 2, 19, 1, 1}
{5, 5, 2, 14, 0, 1, 2, 1, 19, 1}
{5, 5, 2, 8, 0, 11, 8, 5, 5, 1}
{5, 5, 2, 6, 0, 16, 3, 8, 4, 1}
{5, 5, 2, 6, 0, 16, 3, 4, 8, 1}
{5, 5, 2, 2, 0, 18, 1, 8, 8, 1}
{5, 5, 2, 2, 0, 14, 1, 12, 8, 1}
{5, 5, 2, 2, 0, 14, 1, 8, 12, 1}
{5, 5, 2, 2, 0, 2, 17, 8, 8, 1}
{5, 5, 2, 1, 0, 9, 16, 6, 5, 1}
{5, 5, 2, 1, 0, 9, 16, 5, 6, 1}
{5, 5, 1, 19, 0, 2, 1, 14, 2, 1}
{5, 5, 1, 19, 0, 2, 1, 2, 14, 1}
{5, 5, 1, 10, 0, 5, 4, 15, 4, 1}
{5, 5, 1, 10, 0, 5, 4, 4, 15, 1}
{5, 5, 1, 9, 0, 4, 7, 14, 4, 1}
{5, 5, 1, 9, 0, 4, 7, 4, 14, 1}
{5, 5, 1, 3, 0, 16, 1, 9, 9, 1}
{5, 5, 1, 3, 0, 2, 1, 30, 2, 1}
{5, 5, 1, 3, 0, 2, 1, 2, 30, 1}
{5, 5, 1, 2, 0, 9, 16, 6, 5, 1}
{5, 5, 1, 2, 0, 9, 16, 5, 6, 1}
{5, 5, 1, 1, 0, 20, 1, 8, 8, 1}
{5, 5, 1, 1, 0, 16, 1, 12, 8, 1}
{5, 5, 1, 1, 0, 16, 1, 8, 12, 1}
{5, 5, 1, 1, 0, 2, 19, 8, 8, 1}
{5, 5, 1, 1, 0, 2, 16, 13, 6, 1}
{5, 5, 1, 1, 0, 2, 16, 6, 13, 1}
{5, 5, 1, 1, 0, 2, 11, 18, 6, 1}
{5, 5, 1, 1, 0, 2, 11, 6, 18, 1}
{5, 4, 20, 5, 0, 8, 3, 3, 1, 1}
{5, 4, 20, 5, 0, 8, 3, 1, 3, 1}
{5, 4, 18, 6, 0, 5, 3, 6, 2, 1}
{5, 4, 18, 6, 0, 5, 3, 2, 6, 1}
{5, 4, 12, 4, 0, 9, 11, 2, 2, 1}
{5, 4, 12, 2, 0, 6, 6, 10, 4, 1}
{5, 4, 12, 2, 0, 6, 6, 4, 10, 1}
{5, 4, 11, 3, 0, 9, 8, 6, 3, 1}
{5, 4, 11, 3, 0, 9, 8, 3, 6, 1}
{5, 4, 10, 4, 0, 6, 6, 12, 2, 1}
{5, 4, 10, 4, 0, 6, 6, 2, 12, 1}
{5, 4, 9, 8, 0, 12, 2, 6, 3, 1}
{5, 4, 9, 8, 0, 12, 2, 3, 6, 1}
{5, 4, 9, 3, 0, 12, 2, 7, 7, 1}
{5, 4, 8, 9, 0, 12, 2, 6, 3, 1}
{5, 4, 8, 9, 0, 12, 2, 3, 6, 1}
{5, 4, 7, 7, 0, 2, 12, 9, 3, 1}
{5, 4, 7, 7, 0, 2, 12, 3, 9, 1}
{5, 4, 6, 18, 0, 5, 3, 6, 2, 1}
{5, 4, 6, 18, 0, 5, 3, 2, 6, 1}
{5, 4, 6, 6, 0, 3, 17, 6, 2, 1}
{5, 4, 6, 6, 0, 3, 17, 2, 6, 1}
{5, 4, 6, 3, 0, 8, 9, 11, 3, 1}
{5, 4, 6, 3, 0, 8, 9, 3, 11, 1}
{5, 4, 6, 3, 0, 2, 12, 9, 8, 1}
{5, 4, 6, 3, 0, 2, 12, 8, 9, 1}
{5, 4, 6, 2, 0, 17, 3, 6, 6, 1}
{5, 4, 6, 2, 0, 3, 5, 18, 6, 1}
{5, 4, 6, 2, 0, 3, 5, 6, 18, 1}
{5, 4, 5, 20, 0, 8, 3, 3, 1, 1}
{5, 4, 5, 20, 0, 8, 3, 1, 3, 1}
{5, 4, 4, 12, 0, 9, 11, 2, 2, 1}
{5, 4, 4, 10, 0, 6, 6, 12, 2, 1}
{5, 4, 4, 10, 0, 6, 6, 2, 12, 1}
{5, 4, 3, 11, 0, 9, 8, 6, 3, 1}
{5, 4, 3, 11, 0, 9, 8, 3, 6, 1}
{5, 4, 3, 9, 0, 12, 2, 7, 7, 1}
{5, 4, 3, 6, 0, 8, 9, 11, 3, 1}
{5, 4, 3, 6, 0, 8, 9, 3, 11, 1}
{5, 4, 3, 6, 0, 2, 12, 9, 8, 1}
{5, 4, 3, 6, 0, 2, 12, 8, 9, 1}
{5, 4, 3, 1, 0, 3, 8, 20, 5, 1}
{5, 4, 3, 1, 0, 3, 8, 5, 20, 1}
{5, 4, 2, 12, 0, 6, 6, 10, 4, 1}
{5, 4, 2, 12, 0, 6, 6, 4, 10, 1}
{5, 4, 2, 6, 0, 17, 3, 6, 6, 1}
{5, 4, 2, 6, 0, 3, 5, 18, 6, 1}
{5, 4, 2, 6, 0, 3, 5, 6, 18, 1}
{5, 4, 2, 2, 0, 11, 9, 12, 4, 1}
{5, 4, 2, 2, 0, 11, 9, 4, 12, 1}
{5, 4, 1, 3, 0, 3, 8, 20, 5, 1}
{5, 4, 1, 3, 0, 3, 8, 5, 20, 1}
{5, 3, 23, 2, 0, 1, 2, 12, 1, 1}
{5, 3, 23, 2, 0, 1, 2, 1, 12, 1}
{5, 3, 18, 6, 0, 6, 3, 6, 2, 1}
{5, 3, 18, 6, 0, 6, 3, 2, 6, 1}
{5, 3, 12, 1, 0, 2, 1, 23, 2, 1}
{5, 3, 12, 1, 0, 2, 1, 2, 23, 1}
{5, 3, 8, 6, 0, 3, 18, 3, 3, 1}
{5, 3, 6, 18, 0, 6, 3, 6, 2, 1}
{5, 3, 6, 18, 0, 6, 3, 2, 6, 1}
{5, 3, 6, 8, 0, 3, 18, 3, 3, 1}
{5, 3, 6, 2, 0, 3, 6, 18, 6, 1}
{5, 3, 6, 2, 0, 3, 6, 6, 18, 1}
{5, 3, 3, 3, 0, 18, 3, 8, 6, 1}
{5, 3, 3, 3, 0, 18, 3, 6, 8, 1}
{5, 3, 2, 23, 0, 1, 2, 12, 1, 1}
{5, 3, 2, 23, 0, 1, 2, 1, 12, 1}
{5, 3, 2, 6, 0, 3, 6, 18, 6, 1}
{5, 3, 2, 6, 0, 3, 6, 6, 18, 1}
{5, 3, 1, 12, 0, 2, 1, 23, 2, 1}
{5, 3, 1, 12, 0, 2, 1, 2, 23, 1}
{5, 2, 18, 6, 0, 7, 7, 2, 2, 1}
{5, 2, 18, 6, 0, 7, 3, 6, 2, 1}
{5, 2, 18, 6, 0, 7, 3, 2, 6, 1}
{5, 2, 18, 4, 0, 7, 7, 3, 3, 1}
{5, 2, 15, 7, 0, 13, 3, 2, 2, 1}
{5, 2, 14, 2, 0, 3, 7, 8, 8, 1}
{5, 2, 13, 6, 0, 7, 3, 11, 2, 1}
{5, 2, 13, 6, 0, 7, 3, 2, 11, 1}
{5, 2, 12, 4, 0, 13, 7, 3, 3, 1}
{5, 2, 11, 7, 0, 3, 9, 10, 2, 1}
{5, 2, 11, 7, 0, 3, 9, 2, 10, 1}
{5, 2, 11, 2, 0, 3, 7, 13, 6, 1}
{5, 2, 11, 2, 0, 3, 7, 6, 13, 1}
{5, 2, 10, 10, 0, 11, 7, 3, 1, 1}
{5, 2, 10, 10, 0, 11, 7, 1, 3, 1}
{5, 2, 10, 2, 0, 9, 3, 11, 7, 1}
{5, 2, 10, 2, 0, 9, 3, 7, 11, 1}
{5, 2, 9, 8, 0, 16, 2, 4, 3, 1}
{5, 2, 9, 8, 0, 16, 2, 3, 4, 1}
{5, 2, 9, 5, 0, 16, 4, 6, 2, 1}
{5, 2, 9, 5, 0, 16, 4, 2, 6, 1}
{5, 2, 8, 9, 0, 16, 2, 4, 3, 1}
{5, 2, 8, 9, 0, 16, 2, 3, 4, 1}
{5, 2, 8, 8, 0, 13, 9, 2, 2, 1}
{5, 2, 8, 8, 0, 7, 3, 14, 2, 1}
{5, 2, 8, 8, 0, 7, 3, 2, 14, 1}
{5, 2, 8, 6, 0, 19, 3, 3, 3, 1}
{5, 2, 7, 15, 0, 13, 3, 2, 2, 1}
{5, 2, 7, 11, 0, 3, 9, 10, 2, 1}
{5, 2, 7, 11, 0, 3, 9, 2, 10, 1}
{5, 2, 6, 18, 0, 7, 7, 2, 2, 1}
{5, 2, 6, 18, 0, 7, 3, 6, 2, 1}
{5, 2, 6, 18, 0, 7, 3, 2, 6, 1}
{5, 2, 6, 13, 0, 7, 3, 11, 2, 1}
{5, 2, 6, 13, 0, 7, 3, 2, 11, 1}
{5, 2, 6, 8, 0, 19, 3, 3, 3, 1}
{5, 2, 6, 2, 0, 4, 16, 9, 5, 1}
{5, 2, 6, 2, 0, 4, 16, 5, 9, 1}
{5, 2, 6, 2, 0, 3, 7, 18, 6, 1}
{5, 2, 6, 2, 0, 3, 7, 6, 18, 1}
{5, 2, 5, 9, 0, 16, 4, 6, 2, 1}
{5, 2, 5, 9, 0, 16, 4, 2, 6, 1}
{5, 2, 4, 18, 0, 7, 7, 3, 3, 1}
{5, 2, 4, 12, 0, 13, 7, 3, 3, 1}
{5, 2, 4, 3, 0, 2, 16, 9, 8, 1}
{5, 2, 4, 3, 0, 2, 16, 8, 9, 1}
{5, 2, 3, 4, 0, 2, 16, 9, 8, 1}
{5, 2, 3, 4, 0, 2, 16, 8, 9, 1}
{5, 2, 3, 3, 0, 7, 13, 12, 4, 1}
{5, 2, 3, 3, 0, 7, 13, 4, 12, 1}
{5, 2, 3, 3, 0, 7, 7, 18, 4, 1}
{5, 2, 3, 3, 0, 7, 7, 4, 18, 1}
{5, 2, 3, 3, 0, 3, 19, 8, 6, 1}
{5, 2, 3, 3, 0, 3, 19, 6, 8, 1}
{5, 2, 3, 1, 0, 7, 11, 10, 10, 1}
{5, 2, 2, 14, 0, 3, 7, 8, 8, 1}
{5, 2, 2, 11, 0, 3, 7, 13, 6, 1}
{5, 2, 2, 11, 0, 3, 7, 6, 13, 1}
{5, 2, 2, 10, 0, 9, 3, 11, 7, 1}
{5, 2, 2, 10, 0, 9, 3, 7, 11, 1}
{5, 2, 2, 6, 0, 4, 16, 9, 5, 1}
{5, 2, 2, 6, 0, 4, 16, 5, 9, 1}
{5, 2, 2, 6, 0, 3, 7, 18, 6, 1}
{5, 2, 2, 6, 0, 3, 7, 6, 18, 1}
{5, 2, 2, 2, 0, 9, 13, 8, 8, 1}
{5, 2, 2, 2, 0, 7, 7, 18, 6, 1}
{5, 2, 2, 2, 0, 7, 7, 6, 18, 1}
{5, 2, 2, 2, 0, 3, 13, 15, 7, 1}
{5, 2, 2, 2, 0, 3, 13, 7, 15, 1}
{5, 2, 1, 3, 0, 7, 11, 10, 10, 1}
{5, 1, 19, 7, 0, 8, 3, 4, 2, 1}
{5, 1, 19, 7, 0, 8, 3, 2, 4, 1}
{5, 1, 18, 6, 0, 8, 3, 6, 2, 1}
{5, 1, 18, 6, 0, 8, 3, 2, 6, 1}
{5, 1, 10, 2, 0, 5, 14, 7, 5, 1}
{5, 1, 10, 2, 0, 5, 14, 5, 7, 1}
{5, 1, 7, 19, 0, 8, 3, 4, 2, 1}
{5, 1, 7, 19, 0, 8, 3, 2, 4, 1}
{5, 1, 7, 5, 0, 14, 5, 10, 2, 1}
{5, 1, 7, 5, 0, 14, 5, 2, 10, 1}
{5, 1, 6, 18, 0, 8, 3, 6, 2, 1}
{5, 1, 6, 18, 0, 8, 3, 2, 6, 1}
{5, 1, 6, 2, 0, 3, 8, 18, 6, 1}
{5, 1, 6, 2, 0, 3, 8, 6, 18, 1}
{5, 1, 5, 7, 0, 14, 5, 10, 2, 1}
{5, 1, 5, 7, 0, 14, 5, 2, 10, 1}
{5, 1, 4, 2, 0, 3, 8, 19, 7, 1}
{5, 1, 4, 2, 0, 3, 8, 7, 19, 1}
{5, 1, 2, 10, 0, 5, 14, 7, 5, 1}
{5, 1, 2, 10, 0, 5, 14, 5, 7, 1}
{5, 1, 2, 6, 0, 3, 8, 18, 6, 1}
{5, 1, 2, 6, 0, 3, 8, 6, 18, 1}
{5, 1, 2, 4, 0, 3, 8, 19, 7, 1}
{5, 1, 2, 4, 0, 3, 8, 7, 19, 1}
{4, 28, 9, 2, 0, 1, 1, 3, 1, 1}
{4, 28, 9, 2, 0, 1, 1, 1, 3, 1}
{4, 28, 8, 2, 0, 1, 2, 2, 2, 1}
{4, 28, 8, 1, 0, 4, 1, 2, 1, 1}
{4, 28, 8, 1, 0, 4, 1, 1, 2, 1}
{4, 28, 7, 2, 0, 1, 4, 2, 1, 1}
{4, 28, 7, 2, 0, 1, 4, 1, 2, 1}
{4, 28, 7, 1, 0, 4, 1, 2, 2, 1}
{4, 28, 6, 1, 0, 4, 1, 3, 2, 1}
{4, 28, 6, 1, 0, 4, 1, 2, 3, 1}
{4, 28, 5, 3, 0, 2, 5, 1, 1, 1}
{4, 28, 5, 2, 0, 1, 4, 4, 1, 1}
{4, 28, 5, 2, 0, 1, 4, 1, 4, 1}
{4, 28, 5, 1, 0, 4, 1, 4, 2, 1}
{4, 28, 5, 1, 0, 4, 1, 2, 4, 1}
{4, 28, 4, 4, 0, 3, 4, 1, 1, 1}
{4, 28, 4, 4, 0, 1, 6, 1, 1, 1}
{4, 28, 4, 4, 0, 1, 4, 2, 2, 1}
{4, 28, 4, 2, 0, 1, 4, 5, 1, 1}
{4, 28, 4, 2, 0, 1, 4, 1, 5, 1}
{4, 28, 4, 1, 0, 4, 1, 5, 2, 1}
{4, 28, 4, 1, 0, 4, 1, 2, 5, 1}
{4, 28, 3, 5, 0, 2, 5, 1, 1, 1}
{4, 28, 3, 2, 0, 1, 4, 6, 1, 1}
{4, 28, 3, 2, 0, 1, 4, 1, 6, 1}
{4, 28, 3, 1, 0, 1, 1, 9, 2, 1}
{4, 28, 3, 1, 0, 1, 1, 2, 9, 1}
{4, 28, 2, 9, 0, 1, 1, 3, 1, 1}
{4, 28, 2, 9, 0, 1, 1, 1, 3, 1}
{4, 28, 2, 8, 0, 1, 2, 2, 2, 1}
{4, 28, 2, 7, 0, 1, 4, 2, 1, 1}
{4, 28, 2, 7, 0, 1, 4, 1, 2, 1}
{4, 28, 2, 5, 0, 1, 4, 4, 1, 1}
{4, 28, 2, 5, 0, 1, 4, 1, 4, 1}
{4, 28, 2, 4, 0, 1, 4, 5, 1, 1}
{4, 28, 2, 4, 0, 1, 4, 1, 5, 1}
{4, 28, 2, 3, 0, 1, 4, 6, 1, 1}
{4, 28, 2, 3, 0, 1, 4, 1, 6, 1}
{4, 28, 2, 2, 0, 4, 1, 4, 4, 1}
{4, 28, 2, 2, 0, 2, 1, 8, 2, 1}
{4, 28, 2, 2, 0, 2, 1, 2, 8, 1}
{4, 28, 2, 2, 0, 1, 4, 7, 1, 1}
{4, 28, 2, 2, 0, 1, 4, 1, 7, 1}
{4, 28, 2, 1, 0, 4, 1, 7, 2, 1}
{4, 28, 2, 1, 0, 4, 1, 2, 7, 1}
{4, 28, 2, 1, 0, 1, 4, 8, 1, 1}
{4, 28, 2, 1, 0, 1, 4, 1, 8, 1}
{4, 28, 1, 8, 0, 4, 1, 2, 1, 1}
{4, 28, 1, 8, 0, 4, 1, 1, 2, 1}
{4, 28, 1, 7, 0, 4, 1, 2, 2, 1}
{4, 28, 1, 6, 0, 4, 1, 3, 2, 1}
{4, 28, 1, 6, 0, 4, 1, 2, 3, 1}
{4, 28, 1, 5, 0, 4, 1, 4, 2, 1}
{4, 28, 1, 5, 0, 4, 1, 2, 4, 1}
{4, 28, 1, 4, 0, 4, 1, 5, 2, 1}
{4, 28, 1, 4, 0, 4, 1, 2, 5, 1}
{4, 28, 1, 3, 0, 1, 1, 9, 2, 1}
{4, 28, 1, 3, 0, 1, 1, 2, 9, 1}
{4, 28, 1, 2, 0, 4, 1, 7, 2, 1}
{4, 28, 1, 2, 0, 4, 1, 2, 7, 1}
{4, 28, 1, 2, 0, 1, 4, 8, 1, 1}
{4, 28, 1, 2, 0, 1, 4, 1, 8, 1}
{4, 28, 1, 1, 0, 6, 1, 4, 4, 1}
{4, 28, 1, 1, 0, 5, 2, 5, 3, 1}
{4, 28, 1, 1, 0, 5, 2, 3, 5, 1}
{4, 28, 1, 1, 0, 4, 3, 4, 4, 1}
{4, 26, 6, 5, 0, 3, 3, 1, 1, 1}
{4, 26, 5, 6, 0, 3, 3, 1, 1, 1}
{4, 26, 1, 1, 0, 3, 3, 6, 5, 1}
{4, 26, 1, 1, 0, 3, 3, 5, 6, 1}
{4, 25, 5, 3, 0, 5, 5, 1, 1, 1}
{4, 25, 3, 5, 0, 5, 5, 1, 1, 1}
{4, 25, 1, 1, 0, 5, 5, 5, 3, 1}
{4, 25, 1, 1, 0, 5, 5, 3, 5, 1}
{4, 24, 7, 3, 0, 3, 3, 3, 2, 1}
{4, 24, 7, 3, 0, 3, 3, 2, 3, 1}
{4, 24, 7, 3, 0, 1, 5, 4, 1, 1}
{4, 24, 7, 3, 0, 1, 5, 1, 4, 1}
{4, 24, 6, 3, 0, 1, 5, 5, 1, 1}
{4, 24, 6, 3, 0, 1, 5, 1, 5, 1}
{4, 24, 6, 2, 0, 2, 1, 5, 5, 1}
{4, 24, 5, 5, 0, 3, 3, 4, 1, 1}
{4, 24, 5, 5, 0, 3, 3, 1, 4, 1}
{4, 24, 5, 5, 0, 1, 2, 6, 2, 1}
{4, 24, 5, 5, 0, 1, 2, 2, 6, 1}
{4, 24, 5, 1, 0, 5, 1, 6, 3, 1}
{4, 24, 5, 1, 0, 5, 1, 3, 6, 1}
{4, 24, 4, 3, 0, 2, 6, 4, 2, 1}
{4, 24, 4, 3, 0, 2, 6, 2, 4, 1}
{4, 24, 4, 2, 0, 6, 2, 4, 3, 1}
{4, 24, 4, 2, 0, 6, 2, 3, 4, 1}
{4, 24, 4, 1, 0, 5, 1, 7, 3, 1}
{4, 24, 4, 1, 0, 5, 1, 3, 7, 1}
{4, 24, 4, 1, 0, 3, 3, 5, 5, 1}
{4, 24, 3, 7, 0, 3, 3, 3, 2, 1}
{4, 24, 3, 7, 0, 3, 3, 2, 3, 1}
{4, 24, 3, 7, 0, 1, 5, 4, 1, 1}
{4, 24, 3, 7, 0, 1, 5, 1, 4, 1}
{4, 24, 3, 6, 0, 1, 5, 5, 1, 1}
{4, 24, 3, 6, 0, 1, 5, 1, 5, 1}
{4, 24, 3, 4, 0, 2, 6, 4, 2, 1}
{4, 24, 3, 4, 0, 2, 6, 2, 4, 1}
{4, 24, 3, 2, 0, 3, 3, 7, 3, 1}
{4, 24, 3, 2, 0, 3, 3, 3, 7, 1}
{4, 24, 2, 6, 0, 2, 1, 5, 5, 1}
{4, 24, 2, 4, 0, 6, 2, 4, 3, 1}
{4, 24, 2, 4, 0, 6, 2, 3, 4, 1}
{4, 24, 2, 3, 0, 3, 3, 7, 3, 1}
{4, 24, 2, 3, 0, 3, 3, 3, 7, 1}
{4, 24, 1, 5, 0, 5, 1, 6, 3, 1}
{4, 24, 1, 5, 0, 5, 1, 3, 6, 1}
{4, 24, 1, 4, 0, 5, 1, 7, 3, 1}
{4, 24, 1, 4, 0, 5, 1, 3, 7, 1}
{4, 24, 1, 4, 0, 3, 3, 5, 5, 1}
{4, 23, 4, 4, 0, 5, 3, 4, 2, 1}
{4, 23, 4, 4, 0, 5, 3, 2, 4, 1}
{4, 23, 4, 2, 0, 3, 5, 4, 4, 1}
{4, 23, 2, 4, 0, 3, 5, 4, 4, 1}
{4, 22, 11, 1, 0, 4, 1, 5, 1, 1}
{4, 22, 11, 1, 0, 4, 1, 1, 5, 1}
{4, 22, 9, 2, 0, 2, 2, 4, 4, 1}
{4, 22, 7, 7, 0, 1, 6, 1, 1, 1}
{4, 22, 7, 7, 0, 1, 4, 2, 2, 1}
{4, 22, 7, 7, 0, 1, 2, 3, 3, 1}
{4, 22, 5, 5, 0, 5, 2, 3, 3, 1}
{4, 22, 5, 1, 0, 1, 4, 11, 1, 1}
{4, 22, 5, 1, 0, 1, 4, 1, 11, 1}
{4, 22, 4, 4, 0, 6, 4, 4, 1, 1}
{4, 22, 4, 4, 0, 6, 4, 1, 4, 1}
{4, 22, 4, 4, 0, 2, 2, 9, 2, 1}
{4, 22, 4, 4, 0, 2, 2, 2, 9, 1}
{4, 22, 4, 1, 0, 4, 6, 4, 4, 1}
{4, 22, 3, 3, 0, 2, 5, 5, 5, 1}
{4, 22, 3, 3, 0, 2, 1, 7, 7, 1}
{4, 22, 2, 9, 0, 2, 2, 4, 4, 1}
{4, 22, 2, 2, 0, 4, 1, 7, 7, 1}
{4, 22, 1, 11, 0, 4, 1, 5, 1, 1}
{4, 22, 1, 11, 0, 4, 1, 1, 5, 1}
{4, 22, 1, 5, 0, 1, 4, 11, 1, 1}
{4, 22, 1, 5, 0, 1, 4, 1, 11, 1}
{4, 22, 1, 4, 0, 4, 6, 4, 4, 1}
{4, 22, 1, 1, 0, 6, 1, 7, 7, 1}
{4, 20, 15, 1, 0, 4, 1, 3, 1, 1}
{4, 20, 15, 1, 0, 4, 1, 1, 3, 1}
{4, 20, 11, 3, 0, 4, 3, 2, 2, 1}
{4, 20, 8, 4, 0, 2, 2, 7, 2, 1}
{4, 20, 8, 4, 0, 2, 2, 2, 7, 1}
{4, 20, 7, 2, 0, 2, 2, 8, 4, 1}
{4, 20, 7, 2, 0, 2, 2, 4, 8, 1}
{4, 20, 6, 6, 0, 3, 2, 6, 2, 1}
{4, 20, 6, 6, 0, 3, 2, 2, 6, 1}
{4, 20, 6, 2, 0, 2, 3, 6, 6, 1}
{4, 20, 4, 8, 0, 2, 2, 7, 2, 1}
{4, 20, 4, 8, 0, 2, 2, 2, 7, 1}
{4, 20, 3, 11, 0, 4, 3, 2, 2, 1}
{4, 20, 3, 1, 0, 1, 4, 15, 1, 1}
{4, 20, 3, 1, 0, 1, 4, 1, 15, 1}
{4, 20, 2, 7, 0, 2, 2, 8, 4, 1}
{4, 20, 2, 7, 0, 2, 2, 4, 8, 1}
{4, 20, 2, 6, 0, 2, 3, 6, 6, 1}
{4, 20, 2, 2, 0, 3, 4, 11, 3, 1}
{4, 20, 2, 2, 0, 3, 4, 3, 11, 1}
{4, 20, 1, 15, 0, 4, 1, 3, 1, 1}
{4, 20, 1, 15, 0, 4, 1, 1, 3, 1}
{4, 20, 1, 3, 0, 1, 4, 15, 1, 1}
{4, 20, 1, 3, 0, 1, 4, 1, 15, 1}
{4, 19, 9, 1, 0, 5, 2, 6, 3, 1}
{4, 19, 9, 1, 0, 5, 2, 3, 6, 1}
{4, 19, 6, 3, 0, 8, 2, 4, 3, 1}
{4, 19, 6, 3, 0, 8, 2, 3, 4, 1}
{4, 19, 6, 3, 0, 2, 5, 9, 1, 1}
{4, 19, 6, 3, 0, 2, 5, 1, 9, 1}
{4, 19, 4, 3, 0, 2, 8, 6, 3, 1}
{4, 19, 4, 3, 0, 2, 8, 3, 6, 1}
{4, 19, 3, 6, 0, 8, 2, 4, 3, 1}
{4, 19, 3, 6, 0, 8, 2, 3, 4, 1}
{4, 19, 3, 6, 0, 2, 5, 9, 1, 1}
{4, 19, 3, 6, 0, 2, 5, 1, 9, 1}
{4, 19, 3, 4, 0, 2, 8, 6, 3, 1}
{4, 19, 3, 4, 0, 2, 8, 3, 6, 1}
{4, 19, 1, 9, 0, 5, 2, 6, 3, 1}
{4, 19, 1, 9, 0, 5, 2, 3, 6, 1}
{4, 18, 11, 1, 0, 6, 1, 4, 4, 1}
{4, 18, 10, 2, 0, 4, 3, 5, 3, 1}
{4, 18, 10, 2, 0, 4, 3, 3, 5, 1}
{4, 18, 9, 2, 0, 3, 5, 4, 4, 1}
{4, 18, 6, 3, 0, 7, 5, 5, 1, 1}
{4, 18, 6, 3, 0, 7, 5, 1, 5, 1}
{4, 18, 5, 3, 0, 3, 4, 10, 2, 1}
{4, 18, 5, 3, 0, 3, 4, 2, 10, 1}
{4, 18, 5, 1, 0, 5, 7, 6, 3, 1}
{4, 18, 5, 1, 0, 5, 7, 3, 6, 1}
{4, 18, 4, 4, 0, 5, 3, 9, 2, 1}
{4, 18, 4, 4, 0, 5, 3, 2, 9, 1}
{4, 18, 4, 4, 0, 1, 6, 11, 1, 1}
{4, 18, 4, 4, 0, 1, 6, 1, 11, 1}
{4, 18, 3, 6, 0, 7, 5, 5, 1, 1}
{4, 18, 3, 6, 0, 7, 5, 1, 5, 1}
{4, 18, 3, 5, 0, 3, 4, 10, 2, 1}
{4, 18, 3, 5, 0, 3, 4, 2, 10, 1}
{4, 18, 2, 10, 0, 4, 3, 5, 3, 1}
{4, 18, 2, 10, 0, 4, 3, 3, 5, 1}
{4, 18, 2, 9, 0, 3, 5, 4, 4, 1}
{4, 18, 1, 11, 0, 6, 1, 4, 4, 1}
{4, 18, 1, 5, 0, 5, 7, 6, 3, 1}
{4, 18, 1, 5, 0, 5, 7, 3, 6, 1}
{4, 17, 9, 5, 0, 1, 5, 7, 1, 1}
{4, 17, 9, 5, 0, 1, 5, 1, 7, 1}
{4, 17, 7, 1, 0, 5, 1, 9, 5, 1}
{4, 17, 7, 1, 0, 5, 1, 5, 9, 1}
{4, 17, 5, 9, 0, 1, 5, 7, 1, 1}
{4, 17, 5, 9, 0, 1, 5, 1, 7, 1}
{4, 17, 1, 7, 0, 5, 1, 9, 5, 1}
{4, 17, 1, 7, 0, 5, 1, 5, 9, 1}
{4, 16, 19, 1, 0, 4, 1, 2, 2, 1}
{4, 16, 15, 3, 0, 1, 6, 3, 1, 1}
{4, 16, 15, 3, 0, 1, 6, 1, 3, 1}
{4, 16, 15, 3, 0, 1, 1, 6, 3, 1}
{4, 16, 15, 3, 0, 1, 1, 3, 6, 1}
{4, 16, 14, 2, 0, 4, 1, 4, 4, 1}
{4, 16, 12, 2, 0, 4, 2, 6, 3, 1}
{4, 16, 12, 2, 0, 4, 2, 3, 6, 1}
{4, 16, 11, 2, 0, 4, 4, 4, 4, 1}
{4, 16, 10, 6, 0, 4, 1, 5, 3, 1}
{4, 16, 10, 6, 0, 4, 1, 3, 5, 1}
{4, 16, 10, 2, 0, 2, 3, 7, 5, 1}
{4, 16, 10, 2, 0, 2, 3, 5, 7, 1}
{4, 16, 7, 7, 0, 9, 2, 3, 1, 1}
{4, 16, 7, 7, 0, 9, 2, 1, 3, 1}
{4, 16, 7, 7, 0, 5, 2, 6, 2, 1}
{4, 16, 7, 7, 0, 5, 2, 2, 6, 1}
{4, 16, 7, 5, 0, 3, 2, 10, 2, 1}
{4, 16, 7, 5, 0, 3, 2, 2, 10, 1}
{4, 16, 6, 10, 0, 4, 1, 5, 3, 1}
{4, 16, 6, 10, 0, 4, 1, 3, 5, 1}
{4, 16, 6, 3, 0, 11, 1, 5, 3, 1}
{4, 16, 6, 3, 0, 11, 1, 3, 5, 1}
{4, 16, 6, 3, 0, 2, 4, 12, 2, 1}
{4, 16, 6, 3, 0, 2, 4, 2, 12, 1}
{4, 16, 6, 3, 0, 1, 1, 15, 3, 1}
{4, 16, 6, 3, 0, 1, 1, 3, 15, 1}
{4, 16, 6, 2, 0, 11, 2, 5, 3, 1}
{4, 16, 6, 2, 0, 11, 2, 3, 5, 1}
{4, 16, 6, 2, 0, 2, 5, 7, 7, 1}
{4, 16, 5, 7, 0, 3, 2, 10, 2, 1}
{4, 16, 5, 7, 0, 3, 2, 2, 10, 1}
{4, 16, 5, 3, 0, 3, 12, 4, 2, 1}
{4, 16, 5, 3, 0, 3, 12, 2, 4, 1}
{4, 16, 5, 3, 0, 2, 11, 6, 2, 1}
{4, 16, 5, 3, 0, 2, 11, 2, 6, 1}
{4, 16, 5, 3, 0, 1, 16, 3, 1, 1}
{4, 16, 5, 3, 0, 1, 16, 1, 3, 1}
{4, 16, 5, 3, 0, 1, 11, 6, 3, 1}
{4, 16, 5, 3, 0, 1, 11, 3, 6, 1}
{4, 16, 5, 3, 0, 1, 4, 10, 6, 1}
{4, 16, 5, 3, 0, 1, 4, 6, 10, 1}
{4, 16, 4, 4, 0, 4, 4, 11, 2, 1}
{4, 16, 4, 4, 0, 4, 4, 2, 11, 1}
{4, 16, 4, 4, 0, 1, 4, 14, 2, 1}
{4, 16, 4, 4, 0, 1, 4, 2, 14, 1}
{4, 16, 4, 2, 0, 12, 3, 5, 3, 1}
{4, 16, 4, 2, 0, 12, 3, 3, 5, 1}
{4, 16, 3, 15, 0, 1, 6, 3, 1, 1}
{4, 16, 3, 15, 0, 1, 6, 1, 3, 1}
{4, 16, 3, 15, 0, 1, 1, 6, 3, 1}
{4, 16, 3, 15, 0, 1, 1, 3, 6, 1}
{4, 16, 3, 6, 0, 11, 1, 5, 3, 1}
{4, 16, 3, 6, 0, 11, 1, 3, 5, 1}
{4, 16, 3, 6, 0, 2, 4, 12, 2, 1}
{4, 16, 3, 6, 0, 2, 4, 2, 12, 1}
{4, 16, 3, 6, 0, 1, 1, 15, 3, 1}
{4, 16, 3, 6, 0, 1, 1, 3, 15, 1}
{4, 16, 3, 5, 0, 3, 12, 4, 2, 1}
{4, 16, 3, 5, 0, 3, 12, 2, 4, 1}
{4, 16, 3, 5, 0, 2, 11, 6, 2, 1}
{4, 16, 3, 5, 0, 2, 11, 2, 6, 1}
{4, 16, 3, 5, 0, 1, 16, 3, 1, 1}
{4, 16, 3, 5, 0, 1, 16, 1, 3, 1}
{4, 16, 3, 5, 0, 1, 11, 6, 3, 1}
{4, 16, 3, 5, 0, 1, 11, 3, 6, 1}
{4, 16, 3, 5, 0, 1, 4, 10, 6, 1}
{4, 16, 3, 5, 0, 1, 4, 6, 10, 1}
{4, 16, 3, 1, 0, 16, 1, 5, 3, 1}
{4, 16, 3, 1, 0, 16, 1, 3, 5, 1}
{4, 16, 3, 1, 0, 6, 1, 15, 3, 1}
{4, 16, 3, 1, 0, 6, 1, 3, 15, 1}
{4, 16, 3, 1, 0, 2, 9, 7, 7, 1}
{4, 16, 2, 14, 0, 4, 1, 4, 4, 1}
{4, 16, 2, 12, 0, 4, 2, 6, 3, 1}
{4, 16, 2, 12, 0, 4, 2, 3, 6, 1}
{4, 16, 2, 11, 0, 4, 4, 4, 4, 1}
{4, 16, 2, 10, 0, 2, 3, 7, 5, 1}
{4, 16, 2, 10, 0, 2, 3, 5, 7, 1}
{4, 16, 2, 6, 0, 11, 2, 5, 3, 1}
{4, 16, 2, 6, 0, 11, 2, 3, 5, 1}
{4, 16, 2, 6, 0, 2, 5, 7, 7, 1}
{4, 16, 2, 4, 0, 12, 3, 5, 3, 1}
{4, 16, 2, 4, 0, 12, 3, 3, 5, 1}
{4, 16, 2, 2, 0, 1, 4, 19, 1, 1}
{4, 16, 2, 2, 0, 1, 4, 1, 19, 1}
{4, 16, 1, 19, 0, 4, 1, 2, 2, 1}
{4, 16, 1, 3, 0, 16, 1, 5, 3, 1}
{4, 16, 1, 3, 0, 16, 1, 3, 5, 1}
{4, 16, 1, 3, 0, 6, 1, 15, 3, 1}
{4, 16, 1, 3, 0, 6, 1, 3, 15, 1}
{4, 16, 1, 3, 0, 2, 9, 7, 7, 1}
{4, 13, 14, 2, 0, 1, 1, 13, 1, 1}
{4, 13, 14, 2, 0, 1, 1, 1, 13, 1}
{4, 13, 13, 1, 0, 1, 1, 14, 2, 1}
{4, 13, 13, 1, 0, 1, 1, 2, 14, 1}
{4, 13, 12, 3, 0, 2, 5, 9, 1, 1}
{4, 13, 12, 3, 0, 2, 5, 1, 9, 1}
{4, 13, 12, 2, 0, 7, 1, 7, 3, 1}
{4, 13, 12, 2, 0, 7, 1, 3, 7, 1}
{4, 13, 11, 11, 0, 1, 7, 1, 1, 1}
{4, 13, 11, 11, 0, 1, 5, 2, 2, 1}
{4, 13, 11, 11, 0, 1, 3, 3, 3, 1}
{4, 13, 11, 11, 0, 1, 1, 4, 4, 1}
{4, 13, 10, 10, 0, 3, 1, 4, 4, 1}
{4, 13, 9, 9, 0, 5, 1, 4, 4, 1}
{4, 13, 9, 1, 0, 5, 2, 12, 3, 1}
{4, 13, 9, 1, 0, 5, 2, 3, 12, 1}
{4, 13, 8, 8, 0, 7, 1, 4, 4, 1}
{4, 13, 7, 7, 0, 9, 1, 4, 4, 1}
{4, 13, 7, 3, 0, 11, 3, 4, 4, 1}
{4, 13, 7, 3, 0, 1, 7, 12, 2, 1}
{4, 13, 7, 3, 0, 1, 7, 2, 12, 1}
{4, 13, 6, 6, 0, 11, 1, 4, 4, 1}
{4, 13, 5, 5, 0, 13, 3, 3, 3, 1}
{4, 13, 5, 5, 0, 13, 1, 4, 4, 1}
{4, 13, 4, 4, 0, 15, 1, 4, 4, 1}
{4, 13, 4, 4, 0, 14, 2, 4, 4, 1}
{4, 13, 4, 4, 0, 13, 3, 4, 4, 1}
{4, 13, 4, 4, 0, 12, 4, 4, 4, 1}
{4, 13, 4, 4, 0, 11, 5, 4, 4, 1}
{4, 13, 4, 4, 0, 10, 6, 4, 4, 1}
{4, 13, 4, 4, 0, 9, 7, 4, 4, 1}
{4, 13, 4, 4, 0, 8, 8, 4, 4, 1}
{4, 13, 4, 4, 0, 7, 9, 4, 4, 1}
{4, 13, 4, 4, 0, 6, 10, 4, 4, 1}
{4, 13, 4, 4, 0, 5, 11, 4, 4, 1}
{4, 13, 4, 4, 0, 4, 12, 4, 4, 1}
{4, 13, 4, 4, 0, 3, 19, 1, 1, 1}
{4, 13, 4, 4, 0, 3, 13, 4, 4, 1}
{4, 13, 4, 4, 0, 3, 11, 7, 3, 1}
{4, 13, 4, 4, 0, 3, 11, 3, 7, 1}
{4, 13, 4, 4, 0, 2, 14, 4, 4, 1}
{4, 13, 4, 4, 0, 1, 21, 1, 1, 1}
{4, 13, 4, 4, 0, 1, 19, 2, 2, 1}
{4, 13, 4, 4, 0, 1, 15, 4, 4, 1}
{4, 13, 4, 4, 0, 1, 13, 5, 5, 1}
{4, 13, 4, 4, 0, 1, 11, 6, 6, 1}
{4, 13, 4, 4, 0, 1, 9, 7, 7, 1}
{4, 13, 4, 4, 0, 1, 7, 8, 8, 1}
{4, 13, 4, 4, 0, 1, 5, 9, 9, 1}
{4, 13, 4, 4, 0, 1, 3, 10, 10, 1}
{4, 13, 4, 4, 0, 1, 1, 11, 11, 1}
{4, 13, 3, 12, 0, 2, 5, 9, 1, 1}
{4, 13, 3, 12, 0, 2, 5, 1, 9, 1}
{4, 13, 3, 7, 0, 11, 3, 4, 4, 1}
{4, 13, 3, 7, 0, 1, 7, 12, 2, 1}
{4, 13, 3, 7, 0, 1, 7, 2, 12, 1}
{4, 13, 3, 3, 0, 3, 13, 5, 5, 1}
{4, 13, 3, 3, 0, 3, 1, 11, 11, 1}
{4, 13, 2, 14, 0, 1, 1, 13, 1, 1}
{4, 13, 2, 14, 0, 1, 1, 1, 13, 1}
{4, 13, 2, 12, 0, 7, 1, 7, 3, 1}
{4, 13, 2, 12, 0, 7, 1, 3, 7, 1}
{4, 13, 2, 2, 0, 19, 1, 4, 4, 1}
{4, 13, 2, 2, 0, 5, 1, 11, 11, 1}
{4, 13, 1, 13, 0, 1, 1, 14, 2, 1}
{4, 13, 1, 13, 0, 1, 1, 2, 14, 1}
{4, 13, 1, 9, 0, 5, 2, 12, 3, 1}
{4, 13, 1, 9, 0, 5, 2, 3, 12, 1}
{4, 13, 1, 1, 0, 21, 1, 4, 4, 1}
{4, 13, 1, 1, 0, 19, 3, 4, 4, 1}
{4, 13, 1, 1, 0, 7, 1, 11, 11, 1}
{4, 12, 21, 3, 0, 2, 5, 1, 1, 1}
{4, 12, 20, 5, 0, 3, 3, 1, 1, 1}
{4, 12, 15, 3, 0, 3, 4, 6, 2, 1}
{4, 12, 15, 3, 0, 3, 4, 2, 6, 1}
{4, 12, 15, 3, 0, 1, 2, 9, 3, 1}
{4, 12, 15, 3, 0, 1, 2, 3, 9, 1}
{4, 12, 13, 5, 0, 3, 3, 8, 1, 1}
{4, 12, 13, 5, 0, 3, 3, 1, 8, 1}
{4, 12, 12, 6, 0, 7, 2, 3, 3, 1}
{4, 12, 12, 6, 0, 1, 6, 7, 1, 1}
{4, 12, 12, 6, 0, 1, 6, 1, 7, 1}
{4, 12, 12, 4, 0, 2, 3, 10, 2, 1}
{4, 12, 12, 4, 0, 2, 3, 2, 10, 1}
{4, 12, 11, 3, 0, 6, 3, 7, 3, 1}
{4, 12, 11, 3, 0, 6, 3, 3, 7, 1}
{4, 12, 11, 1, 0, 6, 1, 7, 7, 1}
{4, 12, 10, 10, 0, 5, 2, 3, 3, 1}
{4, 12, 10, 10, 0, 1, 6, 5, 1, 1}
{4, 12, 10, 10, 0, 1, 6, 1, 5, 1}
{4, 12, 10, 2, 0, 6, 6, 5, 4, 1}
{4, 12, 10, 2, 0, 6, 6, 4, 5, 1}
{4, 12, 10, 2, 0, 3, 6, 8, 4, 1}
{4, 12, 10, 2, 0, 3, 6, 4, 8, 1}
{4, 12, 10, 2, 0, 3, 2, 12, 4, 1}
{4, 12, 10, 2, 0, 3, 2, 4, 12, 1}
{4, 12, 9, 3, 0, 10, 1, 7, 3, 1}
{4, 12, 9, 3, 0, 10, 1, 3, 7, 1}
{4, 12, 9, 3, 0, 7, 4, 7, 3, 1}
{4, 12, 9, 3, 0, 7, 4, 3, 7, 1}
{4, 12, 9, 3, 0, 2, 1, 15, 3, 1}
{4, 12, 9, 3, 0, 2, 1, 3, 15, 1}
{4, 12, 8, 8, 0, 7, 2, 6, 2, 1}
{4, 12, 8, 8, 0, 7, 2, 2, 6, 1}
{4, 12, 8, 4, 0, 6, 3, 10, 2, 1}
{4, 12, 8, 4, 0, 6, 3, 2, 10, 1}
{4, 12, 8, 3, 0, 7, 7, 6, 2, 1}
{4, 12, 8, 3, 0, 7, 7, 2, 6, 1}
{4, 12, 8, 1, 0, 3, 3, 13, 5, 1}
{4, 12, 8, 1, 0, 3, 3, 5, 13, 1}
{4, 12, 7, 7, 0, 11, 2, 3, 3, 1}
{4, 12, 7, 7, 0, 6, 3, 5, 5, 1}
{4, 12, 7, 7, 0, 1, 6, 11, 1, 1}
{4, 12, 7, 7, 0, 1, 6, 1, 11, 1}
{4, 12, 7, 3, 0, 4, 7, 9, 3, 1}
{4, 12, 7, 3, 0, 4, 7, 3, 9, 1}
{4, 12, 7, 3, 0, 3, 12, 6, 2, 1}
{4, 12, 7, 3, 0, 3, 12, 2, 6, 1}
{4, 12, 7, 3, 0, 3, 6, 11, 3, 1}
{4, 12, 7, 3, 0, 3, 6, 3, 11, 1}
{4, 12, 7, 3, 0, 1, 10, 9, 3, 1}
{4, 12, 7, 3, 0, 1, 10, 3, 9, 1}
{4, 12, 7, 1, 0, 6, 1, 12, 6, 1}
{4, 12, 7, 1, 0, 6, 1, 6, 12, 1}
{4, 12, 6, 12, 0, 7, 2, 3, 3, 1}
{4, 12, 6, 12, 0, 1, 6, 7, 1, 1}
{4, 12, 6, 12, 0, 1, 6, 1, 7, 1}
{4, 12, 6, 2, 0, 12, 3, 7, 3, 1}
{4, 12, 6, 2, 0, 12, 3, 3, 7, 1}
{4, 12, 6, 2, 0, 7, 7, 8, 3, 1}
{4, 12, 6, 2, 0, 7, 7, 3, 8, 1}
{4, 12, 6, 2, 0, 4, 3, 15, 3, 1}
{4, 12, 6, 2, 0, 4, 3, 3, 15, 1}
{4, 12, 6, 2, 0, 2, 7, 8, 8, 1}
{4, 12, 5, 20, 0, 3, 3, 1, 1, 1}
{4, 12, 5, 13, 0, 3, 3, 8, 1, 1}
{4, 12, 5, 13, 0, 3, 3, 1, 8, 1}
{4, 12, 5, 5, 0, 3, 6, 7, 7, 1}
{4, 12, 5, 4, 0, 6, 6, 10, 2, 1}
{4, 12, 5, 4, 0, 6, 6, 2, 10, 1}
{4, 12, 5, 1, 0, 6, 1, 10, 10, 1}
{4, 12, 4, 12, 0, 2, 3, 10, 2, 1}
{4, 12, 4, 12, 0, 2, 3, 2, 10, 1}
{4, 12, 4, 8, 0, 6, 3, 10, 2, 1}
{4, 12, 4, 8, 0, 6, 3, 2, 10, 1}
{4, 12, 4, 5, 0, 6, 6, 10, 2, 1}
{4, 12, 4, 5, 0, 6, 6, 2, 10, 1}
{4, 12, 3, 21, 0, 2, 5, 1, 1, 1}
{4, 12, 3, 15, 0, 3, 4, 6, 2, 1}
{4, 12, 3, 15, 0, 3, 4, 2, 6, 1}
{4, 12, 3, 15, 0, 1, 2, 9, 3, 1}
{4, 12, 3, 15, 0, 1, 2, 3, 9, 1}
{4, 12, 3, 11, 0, 6, 3, 7, 3, 1}
{4, 12, 3, 11, 0, 6, 3, 3, 7, 1}
{4, 12, 3, 9, 0, 10, 1, 7, 3, 1}
{4, 12, 3, 9, 0, 10, 1, 3, 7, 1}
{4, 12, 3, 9, 0, 7, 4, 7, 3, 1}
{4, 12, 3, 9, 0, 7, 4, 3, 7, 1}
{4, 12, 3, 9, 0, 2, 1, 15, 3, 1}
{4, 12, 3, 9, 0, 2, 1, 3, 15, 1}
{4, 12, 3, 8, 0, 7, 7, 6, 2, 1}
{4, 12, 3, 8, 0, 7, 7, 2, 6, 1}
{4, 12, 3, 7, 0, 4, 7, 9, 3, 1}
{4, 12, 3, 7, 0, 4, 7, 3, 9, 1}
{4, 12, 3, 7, 0, 3, 12, 6, 2, 1}
{4, 12, 3, 7, 0, 3, 12, 2, 6, 1}
{4, 12, 3, 7, 0, 3, 6, 11, 3, 1}
{4, 12, 3, 7, 0, 3, 6, 3, 11, 1}
{4, 12, 3, 7, 0, 1, 10, 9, 3, 1}
{4, 12, 3, 7, 0, 1, 10, 3, 9, 1}
{4, 12, 3, 3, 0, 2, 11, 7, 7, 1}
{4, 12, 3, 3, 0, 2, 7, 12, 6, 1}
{4, 12, 3, 3, 0, 2, 7, 6, 12, 1}
{4, 12, 3, 3, 0, 2, 5, 10, 10, 1}
{4, 12, 2, 10, 0, 6, 6, 5, 4, 1}
{4, 12, 2, 10, 0, 6, 6, 4, 5, 1}
{4, 12, 2, 10, 0, 3, 6, 8, 4, 1}
{4, 12, 2, 10, 0, 3, 6, 4, 8, 1}
{4, 12, 2, 10, 0, 3, 2, 12, 4, 1}
{4, 12, 2, 10, 0, 3, 2, 4, 12, 1}
{4, 12, 2, 6, 0, 12, 3, 7, 3, 1}
{4, 12, 2, 6, 0, 12, 3, 3, 7, 1}
{4, 12, 2, 6, 0, 7, 7, 8, 3, 1}
{4, 12, 2, 6, 0, 7, 7, 3, 8, 1}
{4, 12, 2, 6, 0, 4, 3, 15, 3, 1}
{4, 12, 2, 6, 0, 4, 3, 3, 15, 1}
{4, 12, 2, 6, 0, 2, 7, 8, 8, 1}
{4, 12, 1, 11, 0, 6, 1, 7, 7, 1}
{4, 12, 1, 8, 0, 3, 3, 13, 5, 1}
{4, 12, 1, 8, 0, 3, 3, 5, 13, 1}
{4, 12, 1, 7, 0, 6, 1, 12, 6, 1}
{4, 12, 1, 7, 0, 6, 1, 6, 12, 1}
{4, 12, 1, 5, 0, 6, 1, 10, 10, 1}
{4, 12, 1, 1, 0, 5, 2, 21, 3, 1}
{4, 12, 1, 1, 0, 5, 2, 3, 21, 1}
{4, 12, 1, 1, 0, 3, 3, 20, 5, 1}
{4, 12, 1, 1, 0, 3, 3, 5, 20, 1}
{4, 11, 15, 9, 0, 6, 2, 1, 1, 1}
{4, 11, 15, 5, 0, 3, 2, 6, 3, 1}
{4, 11, 15, 5, 0, 3, 2, 3, 6, 1}
{4, 11, 15, 3, 0, 1, 9, 5, 1, 1}
{4, 11, 15, 3, 0, 1, 9, 1, 5, 1}
{4, 11, 10, 3, 0, 6, 6, 6, 3, 1}
{4, 11, 10, 3, 0, 6, 6, 3, 6, 1}
{4, 11, 9, 15, 0, 6, 2, 1, 1, 1}
{4, 11, 7, 7, 0, 14, 2, 3, 1, 1}
{4, 11, 7, 7, 0, 14, 2, 1, 3, 1}
{4, 11, 7, 7, 0, 9, 2, 6, 3, 1}
{4, 11, 7, 7, 0, 9, 2, 3, 6, 1}
{4, 11, 6, 3, 0, 6, 6, 10, 3, 1}
{4, 11, 6, 3, 0, 6, 6, 3, 10, 1}
{4, 11, 6, 3, 0, 2, 9, 7, 7, 1}
{4, 11, 6, 3, 0, 2, 3, 15, 5, 1}
{4, 11, 6, 3, 0, 2, 3, 5, 15, 1}
{4, 11, 5, 15, 0, 3, 2, 6, 3, 1}
{4, 11, 5, 15, 0, 3, 2, 3, 6, 1}
{4, 11, 5, 1, 0, 9, 1, 15, 3, 1}
{4, 11, 5, 1, 0, 9, 1, 3, 15, 1}
{4, 11, 3, 15, 0, 1, 9, 5, 1, 1}
{4, 11, 3, 15, 0, 1, 9, 1, 5, 1}
{4, 11, 3, 10, 0, 6, 6, 6, 3, 1}
{4, 11, 3, 10, 0, 6, 6, 3, 6, 1}
{4, 11, 3, 6, 0, 6, 6, 10, 3, 1}
{4, 11, 3, 6, 0, 6, 6, 3, 10, 1}
{4, 11, 3, 6, 0, 2, 9, 7, 7, 1}
{4, 11, 3, 6, 0, 2, 3, 15, 5, 1}
{4, 11, 3, 6, 0, 2, 3, 5, 15, 1}
{4, 11, 3, 1, 0, 2, 14, 7, 7, 1}
{4, 11, 1, 5, 0, 9, 1, 15, 3, 1}
{4, 11, 1, 5, 0, 9, 1, 3, 15, 1}
{4, 11, 1, 3, 0, 2, 14, 7, 7, 1}
{4, 11, 1, 1, 0, 2, 6, 15, 9, 1}
{4, 11, 1, 1, 0, 2, 6, 9, 15, 1}
{4, 10, 21, 6, 0, 3, 3, 1, 1, 1}
{4, 10, 17, 5, 0, 1, 5, 5, 2, 1}
{4, 10, 17, 5, 0, 1, 5, 2, 5, 1}
{4, 10, 16, 6, 0, 8, 2, 2, 1, 1}
{4, 10, 16, 6, 0, 8, 2, 1, 2, 1}
{4, 10, 15, 3, 0, 1, 12, 3, 1, 1}
{4, 10, 15, 3, 0, 1, 12, 1, 3, 1}
{4, 10, 15, 3, 0, 1, 7, 6, 3, 1}
{4, 10, 15, 3, 0, 1, 7, 3, 6, 1}
{4, 10, 14, 2, 0, 8, 1, 5, 5, 1}
{4, 10, 14, 2, 0, 4, 1, 7, 7, 1}
{4, 10, 12, 8, 0, 4, 2, 6, 3, 1}
{4, 10, 12, 8, 0, 4, 2, 3, 6, 1}
{4, 10, 12, 3, 0, 3, 7, 5, 5, 1}
{4, 10, 11, 11, 0, 1, 7, 4, 1, 1}
{4, 10, 11, 11, 0, 1, 7, 1, 4, 1}
{4, 10, 11, 3, 0, 5, 7, 6, 3, 1}
{4, 10, 11, 3, 0, 5, 7, 3, 6, 1}
{4, 10, 11, 3, 0, 1, 16, 3, 1, 1}
{4, 10, 11, 3, 0, 1, 16, 1, 3, 1}
{4, 10, 11, 3, 0, 1, 11, 6, 3, 1}
{4, 10, 11, 3, 0, 1, 11, 3, 6, 1}
{4, 10, 11, 3, 0, 1, 4, 10, 6, 1}
{4, 10, 11, 3, 0, 1, 4, 6, 10, 1}
{4, 10, 10, 10, 0, 5, 2, 5, 3, 1}
{4, 10, 10, 10, 0, 5, 2, 3, 5, 1}
{4, 10, 10, 6, 0, 4, 1, 11, 3, 1}
{4, 10, 10, 6, 0, 4, 1, 3, 11, 1}
{4, 10, 10, 4, 0, 5, 3, 10, 3, 1}
{4, 10, 10, 4, 0, 5, 3, 3, 10, 1}
{4, 10, 10, 3, 0, 3, 5, 10, 4, 1}
{4, 10, 10, 3, 0, 3, 5, 4, 10, 1}
{4, 10, 10, 1, 0, 7, 1, 8, 8, 1}
{4, 10, 9, 3, 0, 7, 12, 2, 2, 1}
{4, 10, 9, 3, 0, 4, 13, 3, 3, 1}
{4, 10, 8, 12, 0, 4, 2, 6, 3, 1}
{4, 10, 8, 12, 0, 4, 2, 3, 6, 1}
{4, 10, 8, 8, 0, 8, 2, 6, 3, 1}
{4, 10, 8, 8, 0, 8, 2, 3, 6, 1}
{4, 10, 8, 8, 0, 1, 7, 10, 1, 1}
{4, 10, 8, 8, 0, 1, 7, 1, 10, 1}
{4, 10, 7, 7, 0, 1, 4, 14, 2, 1}
{4, 10, 7, 7, 0, 1, 4, 2, 14, 1}
{4, 10, 6, 21, 0, 3, 3, 1, 1, 1}
{4, 10, 6, 16, 0, 8, 2, 2, 1, 1}
{4, 10, 6, 16, 0, 8, 2, 1, 2, 1}
{4, 10, 6, 10, 0, 4, 1, 11, 3, 1}
{4, 10, 6, 10, 0, 4, 1, 3, 11, 1}
{4, 10, 6, 4, 0, 11, 5, 6, 3, 1}
{4, 10, 6, 4, 0, 11, 5, 3, 6, 1}
{4, 10, 6, 3, 0, 11, 1, 11, 3, 1}
{4, 10, 6, 3, 0, 11, 1, 3, 11, 1}
{4, 10, 6, 3, 0, 7, 5, 11, 3, 1}
{4, 10, 6, 3, 0, 7, 5, 3, 11, 1}
{4, 10, 6, 3, 0, 7, 1, 15, 3, 1}
{4, 10, 6, 3, 0, 7, 1, 3, 15, 1}
{4, 10, 6, 3, 0, 5, 11, 6, 4, 1}
{4, 10, 6, 3, 0, 5, 11, 4, 6, 1}
{4, 10, 6, 3, 0, 2, 8, 8, 8, 1}
{4, 10, 6, 3, 0, 2, 4, 12, 8, 1}
{4, 10, 6, 3, 0, 2, 4, 8, 12, 1}
{4, 10, 5, 17, 0, 1, 5, 5, 2, 1}
{4, 10, 5, 17, 0, 1, 5, 2, 5, 1}
{4, 10, 5, 5, 0, 13, 4, 4, 4, 1}
{4, 10, 5, 5, 0, 7, 3, 12, 3, 1}
{4, 10, 5, 5, 0, 7, 3, 3, 12, 1}
{4, 10, 5, 5, 0, 1, 8, 14, 2, 1}
{4, 10, 5, 5, 0, 1, 8, 2, 14, 1}
{4, 10, 5, 4, 0, 6, 12, 4, 4, 1}
{4, 10, 5, 3, 0, 2, 5, 10, 10, 1}
{4, 10, 5, 2, 0, 5, 1, 17, 5, 1}
{4, 10, 5, 2, 0, 5, 1, 5, 17, 1}
{4, 10, 4, 10, 0, 5, 3, 10, 3, 1}
{4, 10, 4, 10, 0, 5, 3, 3, 10, 1}
{4, 10, 4, 6, 0, 11, 5, 6, 3, 1}
{4, 10, 4, 6, 0, 11, 5, 3, 6, 1}
{4, 10, 4, 5, 0, 6, 12, 4, 4, 1}
{4, 10, 4, 4, 0, 12, 6, 5, 4, 1}
{4, 10, 4, 4, 0, 12, 6, 4, 5, 1}
{4, 10, 4, 4, 0, 4, 13, 5, 5, 1}
{4, 10, 4, 1, 0, 7, 1, 11, 11, 1}
{4, 10, 3, 15, 0, 1, 12, 3, 1, 1}
{4, 10, 3, 15, 0, 1, 12, 1, 3, 1}
{4, 10, 3, 15, 0, 1, 7, 6, 3, 1}
{4, 10, 3, 15, 0, 1, 7, 3, 6, 1}
{4, 10, 3, 12, 0, 3, 7, 5, 5, 1}
{4, 10, 3, 11, 0, 5, 7, 6, 3, 1}
{4, 10, 3, 11, 0, 5, 7, 3, 6, 1}
{4, 10, 3, 11, 0, 1, 16, 3, 1, 1}
{4, 10, 3, 11, 0, 1, 16, 1, 3, 1}
{4, 10, 3, 11, 0, 1, 11, 6, 3, 1}
{4, 10, 3, 11, 0, 1, 11, 3, 6, 1}
{4, 10, 3, 11, 0, 1, 4, 10, 6, 1}
{4, 10, 3, 11, 0, 1, 4, 6, 10, 1}
{4, 10, 3, 10, 0, 3, 5, 10, 4, 1}
{4, 10, 3, 10, 0, 3, 5, 4, 10, 1}
{4, 10, 3, 9, 0, 7, 12, 2, 2, 1}
{4, 10, 3, 9, 0, 4, 13, 3, 3, 1}
{4, 10, 3, 6, 0, 11, 1, 11, 3, 1}
{4, 10, 3, 6, 0, 11, 1, 3, 11, 1}
{4, 10, 3, 6, 0, 7, 5, 11, 3, 1}
{4, 10, 3, 6, 0, 7, 5, 3, 11, 1}
{4, 10, 3, 6, 0, 7, 1, 15, 3, 1}
{4, 10, 3, 6, 0, 7, 1, 3, 15, 1}
{4, 10, 3, 6, 0, 5, 11, 6, 4, 1}
{4, 10, 3, 6, 0, 5, 11, 4, 6, 1}
{4, 10, 3, 6, 0, 2, 8, 8, 8, 1}
{4, 10, 3, 6, 0, 2, 4, 12, 8, 1}
{4, 10, 3, 6, 0, 2, 4, 8, 12, 1}
{4, 10, 3, 5, 0, 2, 5, 10, 10, 1}
{4, 10, 3, 3, 0, 13, 4, 9, 3, 1}
{4, 10, 3, 3, 0, 13, 4, 3, 9, 1}
{4, 10, 3, 1, 0, 16, 1, 11, 3, 1}
{4, 10, 3, 1, 0, 16, 1, 3, 11, 1}
{4, 10, 3, 1, 0, 12, 1, 15, 3, 1}
{4, 10, 3, 1, 0, 12, 1, 3, 15, 1}
{4, 10, 2, 14, 0, 8, 1, 5, 5, 1}
{4, 10, 2, 14, 0, 4, 1, 7, 7, 1}
{4, 10, 2, 5, 0, 5, 1, 17, 5, 1}
{4, 10, 2, 5, 0, 5, 1, 5, 17, 1}
{4, 10, 2, 2, 0, 12, 7, 9, 3, 1}
{4, 10, 2, 2, 0, 12, 7, 3, 9, 1}
{4, 10, 2, 1, 0, 2, 8, 16, 6, 1}
{4, 10, 2, 1, 0, 2, 8, 6, 16, 1}
{4, 10, 1, 10, 0, 7, 1, 8, 8, 1}
{4, 10, 1, 4, 0, 7, 1, 11, 11, 1}
{4, 10, 1, 3, 0, 16, 1, 11, 3, 1}
{4, 10, 1, 3, 0, 16, 1, 3, 11, 1}
{4, 10, 1, 3, 0, 12, 1, 15, 3, 1}
{4, 10, 1, 3, 0, 12, 1, 3, 15, 1}
{4, 10, 1, 2, 0, 2, 8, 16, 6, 1}
{4, 10, 1, 2, 0, 2, 8, 6, 16, 1}
{4, 10, 1, 1, 0, 3, 3, 21, 6, 1}
{4, 10, 1, 1, 0, 3, 3, 6, 21, 1}
{4, 9, 21, 3, 0, 5, 5, 1, 1, 1}
{4, 9, 18, 4, 0, 5, 3, 4, 2, 1}
{4, 9, 18, 4, 0, 5, 3, 2, 4, 1}
{4, 9, 16, 4, 0, 3, 3, 5, 5, 1}
{4, 9, 15, 3, 0, 3, 1, 9, 5, 1}
{4, 9, 15, 3, 0, 3, 1, 5, 9, 1}
{4, 9, 13, 4, 0, 2, 4, 10, 3, 1}
{4, 9, 13, 4, 0, 2, 4, 3, 10, 1}
{4, 9, 12, 8, 0, 3, 3, 9, 1, 1}
{4, 9, 12, 8, 0, 3, 3, 1, 9, 1}
{4, 9, 12, 6, 0, 7, 1, 5, 5, 1}
{4, 9, 12, 4, 0, 5, 3, 8, 4, 1}
{4, 9, 12, 4, 0, 5, 3, 4, 8, 1}
{4, 9, 11, 11, 0, 1, 5, 6, 2, 1}
{4, 9, 11, 11, 0, 1, 5, 2, 6, 1}
{4, 9, 10, 3, 0, 4, 2, 13, 4, 1}
{4, 9, 10, 3, 0, 4, 2, 4, 13, 1}
{4, 9, 9, 5, 0, 1, 3, 15, 3, 1}
{4, 9, 9, 5, 0, 1, 3, 3, 15, 1}
{4, 9, 9, 1, 0, 3, 3, 12, 8, 1}
{4, 9, 9, 1, 0, 3, 3, 8, 12, 1}
{4, 9, 8, 12, 0, 3, 3, 9, 1, 1}
{4, 9, 8, 12, 0, 3, 3, 1, 9, 1}
{4, 9, 8, 4, 0, 3, 5, 12, 4, 1}
{4, 9, 8, 4, 0, 3, 5, 4, 12, 1}
{4, 9, 6, 12, 0, 7, 1, 5, 5, 1}
{4, 9, 6, 6, 0, 9, 3, 6, 6, 1}
{4, 9, 6, 6, 0, 3, 9, 6, 6, 1}
{4, 9, 6, 2, 0, 17, 1, 5, 5, 1}
{4, 9, 6, 2, 0, 5, 13, 5, 5, 1}
{4, 9, 6, 2, 0, 5, 1, 11, 11, 1}
{4, 9, 5, 9, 0, 1, 3, 15, 3, 1}
{4, 9, 5, 9, 0, 1, 3, 3, 15, 1}
{4, 9, 5, 5, 0, 13, 5, 6, 2, 1}
{4, 9, 5, 5, 0, 13, 5, 2, 6, 1}
{4, 9, 5, 5, 0, 3, 3, 16, 4, 1}
{4, 9, 5, 5, 0, 3, 3, 4, 16, 1}
{4, 9, 5, 5, 0, 1, 17, 6, 2, 1}
{4, 9, 5, 5, 0, 1, 17, 2, 6, 1}
{4, 9, 5, 5, 0, 1, 7, 12, 6, 1}
{4, 9, 5, 5, 0, 1, 7, 6, 12, 1}
{4, 9, 4, 18, 0, 5, 3, 4, 2, 1}
{4, 9, 4, 18, 0, 5, 3, 2, 4, 1}
{4, 9, 4, 16, 0, 3, 3, 5, 5, 1}
{4, 9, 4, 13, 0, 2, 4, 10, 3, 1}
{4, 9, 4, 13, 0, 2, 4, 3, 10, 1}
{4, 9, 4, 12, 0, 5, 3, 8, 4, 1}
{4, 9, 4, 12, 0, 5, 3, 4, 8, 1}
{4, 9, 4, 8, 0, 3, 5, 12, 4, 1}
{4, 9, 4, 8, 0, 3, 5, 4, 12, 1}
{4, 9, 4, 2, 0, 3, 5, 18, 4, 1}
{4, 9, 4, 2, 0, 3, 5, 4, 18, 1}
{4, 9, 3, 21, 0, 5, 5, 1, 1, 1}
{4, 9, 3, 15, 0, 3, 1, 9, 5, 1}
{4, 9, 3, 15, 0, 3, 1, 5, 9, 1}
{4, 9, 3, 10, 0, 4, 2, 13, 4, 1}
{4, 9, 3, 10, 0, 4, 2, 4, 13, 1}
{4, 9, 2, 6, 0, 17, 1, 5, 5, 1}
{4, 9, 2, 6, 0, 5, 13, 5, 5, 1}
{4, 9, 2, 6, 0, 5, 1, 11, 11, 1}
{4, 9, 2, 4, 0, 3, 5, 18, 4, 1}
{4, 9, 2, 4, 0, 3, 5, 4, 18, 1}
{4, 9, 1, 9, 0, 3, 3, 12, 8, 1}
{4, 9, 1, 9, 0, 3, 3, 8, 12, 1}
{4, 9, 1, 1, 0, 5, 5, 21, 3, 1}
{4, 9, 1, 1, 0, 5, 5, 3, 21, 1}
{4, 8, 24, 4, 0, 3, 4, 1, 1, 1}
{4, 8, 19, 3, 0, 5, 8, 1, 1, 1}
{4, 8, 18, 3, 0, 3, 11, 1, 1, 1}
{4, 8, 17, 3, 0, 6, 9, 1, 1, 1}
{4, 8, 16, 12, 0, 2, 4, 2, 1, 1}
{4, 8, 16, 12, 0, 2, 4, 1, 2, 1}
{4, 8, 15, 5, 0, 4, 3, 5, 5, 1}
{4, 8, 15, 5, 0, 4, 1, 6, 6, 1}
{4, 8, 15, 5, 0, 3, 2, 6, 6, 1}
{4, 8, 15, 5, 0, 1, 11, 4, 1, 1}
{4, 8, 15, 5, 0, 1, 11, 1, 4, 1}
{4, 8, 14, 4, 0, 4, 2, 7, 6, 1}
{4, 8, 14, 4, 0, 4, 2, 6, 7, 1}
{4, 8, 12, 16, 0, 2, 4, 2, 1, 1}
{4, 8, 12, 16, 0, 2, 4, 1, 2, 1}
{4, 8, 12, 4, 0, 14, 3, 3, 1, 1}
{4, 8, 12, 4, 0, 14, 3, 1, 3, 1}
{4, 8, 12, 4, 0, 2, 3, 10, 6, 1}
{4, 8, 12, 4, 0, 2, 3, 6, 10, 1}
{4, 8, 12, 4, 0, 1, 16, 3, 1, 1}
{4, 8, 12, 4, 0, 1, 16, 1, 3, 1}
{4, 8, 12, 4, 0, 1, 11, 6, 3, 1}
{4, 8, 12, 4, 0, 1, 11, 3, 6, 1}
{4, 8, 12, 4, 0, 1, 4, 10, 6, 1}
{4, 8, 12, 4, 0, 1, 4, 6, 10, 1}
{4, 8, 12, 3, 0, 7, 1, 9, 5, 1}
{4, 8, 12, 3, 0, 7, 1, 5, 9, 1}
{4, 8, 12, 3, 0, 6, 8, 4, 4, 1}
{4, 8, 10, 10, 0, 2, 3, 9, 3, 1}
{4, 8, 10, 10, 0, 2, 3, 3, 9, 1}
{4, 8, 10, 6, 0, 4, 1, 12, 4, 1}
{4, 8, 10, 6, 0, 4, 1, 4, 12, 1}
{4, 8, 10, 6, 0, 3, 2, 12, 4, 1}
{4, 8, 10, 6, 0, 3, 2, 4, 12, 1}
{4, 8, 9, 5, 0, 1, 7, 12, 3, 1}
{4, 8, 9, 5, 0, 1, 7, 3, 12, 1}
{4, 8, 9, 3, 0, 3, 2, 10, 10, 1}
{4, 8, 7, 6, 0, 2, 4, 14, 4, 1}
{4, 8, 7, 6, 0, 2, 4, 4, 14, 1}
{4, 8, 6, 10, 0, 4, 1, 12, 4, 1}
{4, 8, 6, 10, 0, 4, 1, 4, 12, 1}
{4, 8, 6, 10, 0, 3, 2, 12, 4, 1}
{4, 8, 6, 10, 0, 3, 2, 4, 12, 1}
{4, 8, 6, 7, 0, 2, 4, 14, 4, 1}
{4, 8, 6, 7, 0, 2, 4, 4, 14, 1}
{4, 8, 6, 6, 0, 2, 3, 15, 5, 1}
{4, 8, 6, 6, 0, 2, 3, 5, 15, 1}
{4, 8, 6, 6, 0, 1, 4, 15, 5, 1}
{4, 8, 6, 6, 0, 1, 4, 5, 15, 1}
{4, 8, 6, 3, 0, 11, 1, 12, 4, 1}
{4, 8, 6, 3, 0, 11, 1, 4, 12, 1}
{4, 8, 5, 15, 0, 4, 3, 5, 5, 1}
{4, 8, 5, 15, 0, 4, 1, 6, 6, 1}
{4, 8, 5, 15, 0, 3, 2, 6, 6, 1}
{4, 8, 5, 15, 0, 1, 11, 4, 1, 1}
{4, 8, 5, 15, 0, 1, 11, 1, 4, 1}
{4, 8, 5, 9, 0, 1, 7, 12, 3, 1}
{4, 8, 5, 9, 0, 1, 7, 3, 12, 1}
{4, 8, 5, 5, 0, 3, 4, 15, 5, 1}
{4, 8, 5, 5, 0, 3, 4, 5, 15, 1}
{4, 8, 4, 24, 0, 3, 4, 1, 1, 1}
{4, 8, 4, 14, 0, 4, 2, 7, 6, 1}
{4, 8, 4, 14, 0, 4, 2, 6, 7, 1}
{4, 8, 4, 12, 0, 14, 3, 3, 1, 1}
{4, 8, 4, 12, 0, 14, 3, 1, 3, 1}
{4, 8, 4, 12, 0, 2, 3, 10, 6, 1}
{4, 8, 4, 12, 0, 2, 3, 6, 10, 1}
{4, 8, 4, 12, 0, 1, 16, 3, 1, 1}
{4, 8, 4, 12, 0, 1, 16, 1, 3, 1}
{4, 8, 4, 12, 0, 1, 11, 6, 3, 1}
{4, 8, 4, 12, 0, 1, 11, 3, 6, 1}
{4, 8, 4, 12, 0, 1, 4, 10, 6, 1}
{4, 8, 4, 12, 0, 1, 4, 6, 10, 1}
{4, 8, 4, 4, 0, 8, 6, 12, 3, 1}
{4, 8, 4, 4, 0, 8, 6, 3, 12, 1}
{4, 8, 4, 1, 0, 11, 1, 15, 5, 1}
{4, 8, 4, 1, 0, 11, 1, 5, 15, 1}
{4, 8, 3, 19, 0, 5, 8, 1, 1, 1}
{4, 8, 3, 18, 0, 3, 11, 1, 1, 1}
{4, 8, 3, 17, 0, 6, 9, 1, 1, 1}
{4, 8, 3, 12, 0, 7, 1, 9, 5, 1}
{4, 8, 3, 12, 0, 7, 1, 5, 9, 1}
{4, 8, 3, 12, 0, 6, 8, 4, 4, 1}
{4, 8, 3, 9, 0, 3, 2, 10, 10, 1}
{4, 8, 3, 6, 0, 11, 1, 12, 4, 1}
{4, 8, 3, 6, 0, 11, 1, 4, 12, 1}
{4, 8, 3, 1, 0, 16, 1, 12, 4, 1}
{4, 8, 3, 1, 0, 16, 1, 4, 12, 1}
{4, 8, 3, 1, 0, 3, 14, 12, 4, 1}
{4, 8, 3, 1, 0, 3, 14, 4, 12, 1}
{4, 8, 2, 1, 0, 4, 2, 16, 12, 1}
{4, 8, 2, 1, 0, 4, 2, 12, 16, 1}
{4, 8, 1, 4, 0, 11, 1, 15, 5, 1}
{4, 8, 1, 4, 0, 11, 1, 5, 15, 1}
{4, 8, 1, 3, 0, 16, 1, 12, 4, 1}
{4, 8, 1, 3, 0, 16, 1, 4, 12, 1}
{4, 8, 1, 3, 0, 3, 14, 12, 4, 1}
{4, 8, 1, 3, 0, 3, 14, 4, 12, 1}
{4, 8, 1, 2, 0, 4, 2, 16, 12, 1}
{4, 8, 1, 2, 0, 4, 2, 12, 16, 1}
{4, 8, 1, 1, 0, 11, 3, 18, 3, 1}
{4, 8, 1, 1, 0, 11, 3, 3, 18, 1}
{4, 8, 1, 1, 0, 9, 6, 17, 3, 1}
{4, 8, 1, 1, 0, 9, 6, 3, 17, 1}
{4, 8, 1, 1, 0, 8, 5, 19, 3, 1}
{4, 8, 1, 1, 0, 8, 5, 3, 19, 1}
{4, 8, 1, 1, 0, 4, 3, 24, 4, 1}
{4, 8, 1, 1, 0, 4, 3, 4, 24, 1}
{4, 7, 18, 4, 0, 3, 5, 4, 4, 1}
{4, 7, 15, 4, 0, 2, 8, 6, 3, 1}
{4, 7, 15, 4, 0, 2, 8, 3, 6, 1}
{4, 7, 14, 10, 0, 3, 3, 4, 4, 1}
{4, 7, 13, 13, 0, 3, 3, 4, 2, 1}
{4, 7, 13, 13, 0, 3, 3, 2, 4, 1}
{4, 7, 13, 11, 0, 3, 3, 5, 3, 1}
{4, 7, 13, 11, 0, 3, 3, 3, 5, 1}
{4, 7, 12, 6, 0, 2, 2, 8, 8, 1}
{4, 7, 11, 13, 0, 3, 3, 5, 3, 1}
{4, 7, 11, 13, 0, 3, 3, 3, 5, 1}
{4, 7, 11, 11, 0, 1, 13, 1, 1, 1}
{4, 7, 11, 11, 0, 1, 11, 2, 2, 1}
{4, 7, 11, 11, 0, 1, 9, 3, 3, 1}
{4, 7, 11, 11, 0, 1, 7, 4, 4, 1}
{4, 7, 11, 11, 0, 1, 5, 5, 5, 1}
{4, 7, 11, 11, 0, 1, 3, 6, 6, 1}
{4, 7, 11, 11, 0, 1, 1, 7, 7, 1}
{4, 7, 10, 14, 0, 3, 3, 4, 4, 1}
{4, 7, 10, 10, 0, 3, 1, 7, 7, 1}
{4, 7, 10, 6, 0, 6, 2, 7, 7, 1}
{4, 7, 10, 4, 0, 13, 3, 4, 4, 1}
{4, 7, 10, 4, 0, 7, 1, 8, 8, 1}
{4, 7, 8, 8, 0, 7, 1, 7, 7, 1}
{4, 7, 8, 8, 0, 2, 2, 12, 6, 1}
{4, 7, 8, 8, 0, 2, 2, 6, 12, 1}
{4, 7, 8, 8, 0, 1, 7, 10, 4, 1}
{4, 7, 8, 8, 0, 1, 7, 4, 10, 1}
{4, 7, 7, 7, 0, 9, 1, 7, 7, 1}
{4, 7, 7, 7, 0, 2, 6, 10, 6, 1}
{4, 7, 7, 7, 0, 2, 6, 6, 10, 1}
{4, 7, 7, 7, 0, 1, 21, 1, 1, 1}
{4, 7, 7, 7, 0, 1, 19, 2, 2, 1}
{4, 7, 7, 7, 0, 1, 17, 3, 3, 1}
{4, 7, 7, 7, 0, 1, 15, 4, 4, 1}
{4, 7, 7, 7, 0, 1, 13, 5, 5, 1}
{4, 7, 7, 7, 0, 1, 11, 6, 6, 1}
{4, 7, 7, 7, 0, 1, 9, 7, 7, 1}
{4, 7, 7, 7, 0, 1, 7, 8, 8, 1}
{4, 7, 7, 7, 0, 1, 3, 10, 10, 1}
{4, 7, 7, 7, 0, 1, 1, 11, 11, 1}
{4, 7, 7, 4, 0, 8, 14, 3, 2, 1}
{4, 7, 7, 4, 0, 8, 14, 2, 3, 1}
{4, 7, 6, 12, 0, 2, 2, 8, 8, 1}
{4, 7, 6, 10, 0, 6, 2, 7, 7, 1}
{4, 7, 6, 6, 0, 11, 1, 7, 7, 1}
{4, 7, 6, 6, 0, 3, 1, 11, 11, 1}
{4, 7, 6, 3, 0, 8, 2, 15, 4, 1}
{4, 7, 6, 3, 0, 8, 2, 4, 15, 1}
{4, 7, 5, 5, 0, 13, 9, 3, 3, 1}
{4, 7, 5, 5, 0, 13, 1, 7, 7, 1}
{4, 7, 5, 5, 0, 5, 17, 3, 3, 1}
{4, 7, 5, 5, 0, 5, 1, 11, 11, 1}
{4, 7, 5, 3, 0, 3, 3, 13, 11, 1}
{4, 7, 5, 3, 0, 3, 3, 11, 13, 1}
{4, 7, 4, 18, 0, 3, 5, 4, 4, 1}
{4, 7, 4, 15, 0, 2, 8, 6, 3, 1}
{4, 7, 4, 15, 0, 2, 8, 3, 6, 1}
{4, 7, 4, 10, 0, 13, 3, 4, 4, 1}
{4, 7, 4, 10, 0, 7, 1, 8, 8, 1}
{4, 7, 4, 7, 0, 8, 14, 3, 2, 1}
{4, 7, 4, 7, 0, 8, 14, 2, 3, 1}
{4, 7, 4, 4, 0, 15, 1, 7, 7, 1}
{4, 7, 4, 4, 0, 7, 1, 11, 11, 1}
{4, 7, 4, 4, 0, 5, 3, 18, 4, 1}
{4, 7, 4, 4, 0, 5, 3, 4, 18, 1}
{4, 7, 4, 4, 0, 3, 13, 10, 4, 1}
{4, 7, 4, 4, 0, 3, 13, 4, 10, 1}
{4, 7, 4, 4, 0, 3, 3, 14, 10, 1}
{4, 7, 4, 4, 0, 3, 3, 10, 14, 1}
{4, 7, 4, 2, 0, 3, 3, 13, 13, 1}
{4, 7, 3, 6, 0, 8, 2, 15, 4, 1}
{4, 7, 3, 6, 0, 8, 2, 4, 15, 1}
{4, 7, 3, 5, 0, 3, 3, 13, 11, 1}
{4, 7, 3, 5, 0, 3, 3, 11, 13, 1}
{4, 7, 3, 3, 0, 17, 5, 5, 5, 1}
{4, 7, 3, 3, 0, 17, 1, 7, 7, 1}
{4, 7, 3, 3, 0, 9, 13, 5, 5, 1}
{4, 7, 3, 3, 0, 9, 1, 11, 11, 1}
{4, 7, 3, 2, 0, 14, 8, 7, 4, 1}
{4, 7, 3, 2, 0, 14, 8, 4, 7, 1}
{4, 7, 2, 4, 0, 3, 3, 13, 13, 1}
{4, 7, 2, 3, 0, 14, 8, 7, 4, 1}
{4, 7, 2, 3, 0, 14, 8, 4, 7, 1}
{4, 7, 2, 2, 0, 19, 1, 7, 7, 1}
{4, 7, 2, 2, 0, 11, 1, 11, 11, 1}
{4, 7, 1, 1, 0, 21, 1, 7, 7, 1}
{4, 7, 1, 1, 0, 13, 1, 11, 11, 1}
{4, 6, 24, 4, 0, 4, 5, 1, 1, 1}
{4, 6, 18, 10, 0, 7, 2, 1, 1, 1}
{4, 6, 15, 9, 0, 2, 5, 4, 4, 1}
{4, 6, 12, 4, 0, 12, 3, 5, 3, 1}
{4, 6, 12, 4, 0, 12, 3, 3, 5, 1}
{4, 6, 12, 4, 0, 5, 3, 10, 5, 1}
{4, 6, 12, 4, 0, 5, 3, 5, 10, 1}
{4, 6, 11, 11, 0, 2, 5, 5, 5, 1}
{4, 6, 10, 18, 0, 7, 2, 1, 1, 1}
{4, 6, 10, 5, 0, 3, 5, 12, 4, 1}
{4, 6, 10, 5, 0, 3, 5, 4, 12, 1}
{4, 6, 10, 4, 0, 8, 2, 9, 6, 1}
{4, 6, 10, 4, 0, 8, 2, 6, 9, 1}
{4, 6, 9, 15, 0, 2, 5, 4, 4, 1}
{4, 6, 9, 6, 0, 2, 8, 10, 4, 1}
{4, 6, 9, 6, 0, 2, 8, 4, 10, 1}
{4, 6, 6, 9, 0, 2, 8, 10, 4, 1}
{4, 6, 6, 9, 0, 2, 8, 4, 10, 1}
{4, 6, 6, 4, 0, 6, 15, 5, 3, 1}
{4, 6, 6, 4, 0, 6, 15, 3, 5, 1}
{4, 6, 5, 10, 0, 3, 5, 12, 4, 1}
{4, 6, 5, 10, 0, 3, 5, 4, 12, 1}
{4, 6, 5, 5, 0, 5, 2, 11, 11, 1}
{4, 6, 5, 3, 0, 15, 6, 6, 4, 1}
{4, 6, 5, 3, 0, 15, 6, 4, 6, 1}
{4, 6, 5, 3, 0, 3, 12, 12, 4, 1}
{4, 6, 5, 3, 0, 3, 12, 4, 12, 1}
{4, 6, 4, 24, 0, 4, 5, 1, 1, 1}
{4, 6, 4, 12, 0, 12, 3, 5, 3, 1}
{4, 6, 4, 12, 0, 12, 3, 3, 5, 1}
{4, 6, 4, 12, 0, 5, 3, 10, 5, 1}
{4, 6, 4, 12, 0, 5, 3, 5, 10, 1}
{4, 6, 4, 10, 0, 8, 2, 9, 6, 1}
{4, 6, 4, 10, 0, 8, 2, 6, 9, 1}
{4, 6, 4, 6, 0, 6, 15, 5, 3, 1}
{4, 6, 4, 6, 0, 6, 15, 3, 5, 1}
{4, 6, 4, 4, 0, 5, 2, 15, 9, 1}
{4, 6, 4, 4, 0, 5, 2, 9, 15, 1}
{4, 6, 3, 5, 0, 15, 6, 6, 4, 1}
{4, 6, 3, 5, 0, 15, 6, 4, 6, 1}
{4, 6, 3, 5, 0, 3, 12, 12, 4, 1}
{4, 6, 3, 5, 0, 3, 12, 4, 12, 1}
{4, 6, 1, 1, 0, 5, 4, 24, 4, 1}
{4, 6, 1, 1, 0, 5, 4, 4, 24, 1}
{4, 6, 1, 1, 0, 2, 7, 18, 10, 1}
{4, 6, 1, 1, 0, 2, 7, 10, 18, 1}
{4, 5, 20, 5, 0, 8, 3, 3, 1, 1}
{4, 5, 20, 5, 0, 8, 3, 1, 3, 1}
{4, 5, 18, 6, 0, 5, 3, 6, 2, 1}
{4, 5, 18, 6, 0, 5, 3, 2, 6, 1}
{4, 5, 12, 4, 0, 9, 11, 2, 2, 1}
{4, 5, 12, 2, 0, 6, 6, 10, 4, 1}
{4, 5, 12, 2, 0, 6, 6, 4, 10, 1}
{4, 5, 11, 3, 0, 9, 8, 6, 3, 1}
{4, 5, 11, 3, 0, 9, 8, 3, 6, 1}
{4, 5, 10, 4, 0, 6, 6, 12, 2, 1}
{4, 5, 10, 4, 0, 6, 6, 2, 12, 1}
{4, 5, 9, 8, 0, 12, 2, 6, 3, 1}
{4, 5, 9, 8, 0, 12, 2, 3, 6, 1}
{4, 5, 9, 3, 0, 12, 2, 7, 7, 1}
{4, 5, 8, 9, 0, 12, 2, 6, 3, 1}
{4, 5, 8, 9, 0, 12, 2, 3, 6, 1}
{4, 5, 7, 7, 0, 2, 12, 9, 3, 1}
{4, 5, 7, 7, 0, 2, 12, 3, 9, 1}
{4, 5, 6, 18, 0, 5, 3, 6, 2, 1}
{4, 5, 6, 18, 0, 5, 3, 2, 6, 1}
{4, 5, 6, 6, 0, 3, 17, 6, 2, 1}
{4, 5, 6, 6, 0, 3, 17, 2, 6, 1}
{4, 5, 6, 3, 0, 8, 9, 11, 3, 1}
{4, 5, 6, 3, 0, 8, 9, 3, 11, 1}
{4, 5, 6, 3, 0, 2, 12, 9, 8, 1}
{4, 5, 6, 3, 0, 2, 12, 8, 9, 1}
{4, 5, 6, 2, 0, 17, 3, 6, 6, 1}
{4, 5, 6, 2, 0, 3, 5, 18, 6, 1}
{4, 5, 6, 2, 0, 3, 5, 6, 18, 1}
{4, 5, 5, 20, 0, 8, 3, 3, 1, 1}
{4, 5, 5, 20, 0, 8, 3, 1, 3, 1}
{4, 5, 4, 12, 0, 9, 11, 2, 2, 1}
{4, 5, 4, 10, 0, 6, 6, 12, 2, 1}
{4, 5, 4, 10, 0, 6, 6, 2, 12, 1}
{4, 5, 3, 11, 0, 9, 8, 6, 3, 1}
{4, 5, 3, 11, 0, 9, 8, 3, 6, 1}
{4, 5, 3, 9, 0, 12, 2, 7, 7, 1}
{4, 5, 3, 6, 0, 8, 9, 11, 3, 1}
{4, 5, 3, 6, 0, 8, 9, 3, 11, 1}
{4, 5, 3, 6, 0, 2, 12, 9, 8, 1}
{4, 5, 3, 6, 0, 2, 12, 8, 9, 1}
{4, 5, 3, 1, 0, 3, 8, 20, 5, 1}
{4, 5, 3, 1, 0, 3, 8, 5, 20, 1}
{4, 5, 2, 12, 0, 6, 6, 10, 4, 1}
{4, 5, 2, 12, 0, 6, 6, 4, 10, 1}
{4, 5, 2, 6, 0, 17, 3, 6, 6, 1}
{4, 5, 2, 6, 0, 3, 5, 18, 6, 1}
{4, 5, 2, 6, 0, 3, 5, 6, 18, 1}
{4, 5, 2, 2, 0, 11, 9, 12, 4, 1}
{4, 5, 2, 2, 0, 11, 9, 4, 12, 1}
{4, 5, 1, 3, 0, 3, 8, 20, 5, 1}
{4, 5, 1, 3, 0, 3, 8, 5, 20, 1}
{4, 4, 21, 6, 0, 9, 3, 1, 1, 1}
{4, 4, 21, 6, 0, 3, 9, 1, 1, 1}
{4, 4, 20, 5, 0, 7, 3, 3, 3, 1}
{4, 4, 20, 5, 0, 3, 7, 3, 3, 1}
{4, 4, 19, 5, 0, 6, 3, 5, 3, 1}
{4, 4, 19, 5, 0, 6, 3, 3, 5, 1}
{4, 4, 19, 5, 0, 3, 6, 5, 3, 1}
{4, 4, 19, 5, 0, 3, 6, 3, 5, 1}
{4, 4, 18, 6, 0, 5, 4, 7, 1, 1}
{4, 4, 18, 6, 0, 5, 4, 1, 7, 1}
{4, 4, 18, 6, 0, 5, 3, 6, 3, 1}
{4, 4, 18, 6, 0, 5, 3, 3, 6, 1}
{4, 4, 18, 6, 0, 4, 5, 7, 1, 1}
{4, 4, 18, 6, 0, 4, 5, 1, 7, 1}
{4, 4, 18, 6, 0, 3, 5, 6, 3, 1}
{4, 4, 18, 6, 0, 3, 5, 3, 6, 1}
{4, 4, 17, 7, 0, 6, 3, 7, 1, 1}
{4, 4, 17, 7, 0, 6, 3, 1, 7, 1}
{4, 4, 17, 7, 0, 3, 6, 7, 1, 1}
{4, 4, 17, 7, 0, 3, 6, 1, 7, 1}
{4, 4, 17, 4, 0, 9, 5, 4, 2, 1}
{4, 4, 17, 4, 0, 9, 5, 2, 4, 1}
{4, 4, 17, 4, 0, 5, 9, 4, 2, 1}
{4, 4, 17, 4, 0, 5, 9, 2, 4, 1}
{4, 4, 16, 16, 0, 4, 3, 1, 1, 1}
{4, 4, 16, 16, 0, 3, 4, 1, 1, 1}
{4, 4, 16, 6, 0, 14, 3, 1, 1, 1}
{4, 4, 16, 6, 0, 3, 14, 1, 1, 1}
{4, 4, 16, 4, 0, 8, 3, 7, 3, 1}
{4, 4, 16, 4, 0, 8, 3, 3, 7, 1}
{4, 4, 16, 4, 0, 3, 8, 7, 3, 1}
{4, 4, 16, 4, 0, 3, 8, 3, 7, 1}
{4, 4, 15, 15, 0, 4, 3, 2, 2, 1}
{4, 4, 15, 15, 0, 3, 4, 2, 2, 1}
{4, 4, 15, 9, 0, 13, 2, 1, 1, 1}
{4, 4, 15, 9, 0, 2, 13, 1, 1, 1}
{4, 4, 15, 5, 0, 8, 5, 7, 1, 1}
{4, 4, 15, 5, 0, 8, 5, 1, 7, 1}
{4, 4, 15, 5, 0, 5, 8, 7, 1, 1}
{4, 4, 15, 5, 0, 5, 8, 1, 7, 1}
{4, 4, 14, 14, 0, 4, 3, 3, 3, 1}
{4, 4, 14, 14, 0, 3, 4, 3, 3, 1}
{4, 4, 14, 2, 0, 9, 4, 6, 6, 1}
{4, 4, 14, 2, 0, 4, 9, 6, 6, 1}
{4, 4, 13, 13, 0, 9, 2, 3, 1, 1}
{4, 4, 13, 13, 0, 9, 2, 1, 3, 1}
{4, 4, 13, 13, 0, 4, 3, 4, 4, 1}
{4, 4, 13, 13, 0, 3, 4, 4, 4, 1}
{4, 4, 13, 13, 0, 2, 9, 3, 1, 1}
{4, 4, 13, 13, 0, 2, 9, 1, 3, 1}
{4, 4, 13, 8, 0, 12, 2, 4, 2, 1}
{4, 4, 13, 8, 0, 12, 2, 2, 4, 1}
{4, 4, 13, 8, 0, 2, 12, 4, 2, 1}
{4, 4, 13, 8, 0, 2, 12, 2, 4, 1}
{4, 4, 13, 4, 0, 12, 6, 4, 2, 1}
{4, 4, 13, 4, 0, 12, 6, 2, 4, 1}
{4, 4, 13, 4, 0, 6, 12, 4, 2, 1}
{4, 4, 13, 4, 0, 6, 12, 2, 4, 1}
{4, 4, 13, 1, 0, 7, 4, 8, 8, 1}
{4, 4, 13, 1, 0, 4, 7, 8, 8, 1}
{4, 4, 12, 12, 0, 10, 2, 4, 1, 1}
{4, 4, 12, 12, 0, 10, 2, 1, 4, 1}
{4, 4, 12, 12, 0, 4, 3, 5, 5, 1}
{4, 4, 12, 12, 0, 3, 4, 5, 5, 1}
{4, 4, 12, 12, 0, 2, 10, 4, 1, 1}
{4, 4, 12, 12, 0, 2, 10, 1, 4, 1}
{4, 4, 12, 8, 0, 14, 2, 3, 2, 1}
{4, 4, 12, 8, 0, 14, 2, 2, 3, 1}
{4, 4, 12, 8, 0, 10, 2, 6, 3, 1}
{4, 4, 12, 8, 0, 10, 2, 3, 6, 1}
{4, 4, 12, 8, 0, 2, 14, 3, 2, 1}
{4, 4, 12, 8, 0, 2, 14, 2, 3, 1}
{4, 4, 12, 8, 0, 2, 10, 6, 3, 1}
{4, 4, 12, 8, 0, 2, 10, 3, 6, 1}
{4, 4, 12, 6, 0, 2, 11, 5, 5, 1}
{4, 4, 12, 3, 0, 13, 3, 5, 5, 1}
{4, 4, 12, 3, 0, 11, 5, 7, 3, 1}
{4, 4, 12, 3, 0, 11, 5, 3, 7, 1}
{4, 4, 12, 3, 0, 5, 11, 7, 3, 1}
{4, 4, 12, 3, 0, 5, 11, 3, 7, 1}
{4, 4, 12, 3, 0, 3, 13, 5, 5, 1}
{4, 4, 11, 11, 0, 4, 3, 6, 6, 1}
{4, 4, 11, 11, 0, 3, 4, 6, 6, 1}
{4, 4, 11, 3, 0, 11, 7, 6, 3, 1}
{4, 4, 11, 3, 0, 11, 7, 3, 6, 1}
{4, 4, 11, 3, 0, 7, 11, 6, 3, 1}
{4, 4, 11, 3, 0, 7, 11, 3, 6, 1}
{4, 4, 10, 10, 0, 11, 2, 6, 2, 1}
{4, 4, 10, 10, 0, 11, 2, 2, 6, 1}
{4, 4, 10, 10, 0, 4, 3, 7, 7, 1}
{4, 4, 10, 10, 0, 3, 4, 7, 7, 1}
{4, 4, 10, 10, 0, 2, 11, 6, 2, 1}
{4, 4, 10, 10, 0, 2, 11, 2, 6, 1}
{4, 4, 10, 6, 0, 14, 9, 1, 1, 1}
{4, 4, 10, 6, 0, 9, 14, 1, 1, 1}
{4, 4, 10, 6, 0, 9, 2, 7, 7, 1}
{4, 4, 10, 6, 0, 2, 9, 7, 7, 1}
{4, 4, 10, 5, 0, 15, 3, 6, 2, 1}
{4, 4, 10, 5, 0, 15, 3, 2, 6, 1}
{4, 4, 10, 5, 0, 11, 3, 10, 2, 1}
{4, 4, 10, 5, 0, 11, 3, 2, 10, 1}
{4, 4, 10, 5, 0, 3, 15, 6, 2, 1}
{4, 4, 10, 5, 0, 3, 15, 2, 6, 1}
{4, 4, 10, 5, 0, 3, 11, 10, 2, 1}
{4, 4, 10, 5, 0, 3, 11, 2, 10, 1}
{4, 4, 10, 2, 0, 11, 3, 10, 5, 1}
{4, 4, 10, 2, 0, 11, 3, 5, 10, 1}
{4, 4, 10, 2, 0, 3, 11, 10, 5, 1}
{4, 4, 10, 2, 0, 3, 11, 5, 10, 1}
{4, 4, 10, 1, 0, 9, 7, 7, 7, 1}
{4, 4, 10, 1, 0, 7, 9, 7, 7, 1}
{4, 4, 9, 15, 0, 13, 2, 1, 1, 1}
{4, 4, 9, 15, 0, 2, 13, 1, 1, 1}
{4, 4, 9, 9, 0, 3, 4, 8, 8, 1}
{4, 4, 9, 6, 0, 14, 2, 6, 4, 1}
{4, 4, 9, 6, 0, 14, 2, 4, 6, 1}
{4, 4, 9, 6, 0, 11, 5, 9, 1, 1}
{4, 4, 9, 6, 0, 11, 5, 1, 9, 1}
{4, 4, 9, 6, 0, 5, 11, 9, 1, 1}
{4, 4, 9, 6, 0, 5, 11, 1, 9, 1}
{4, 4, 9, 6, 0, 2, 14, 6, 4, 1}
{4, 4, 9, 6, 0, 2, 14, 4, 6, 1}
{4, 4, 9, 1, 0, 11, 5, 9, 6, 1}
{4, 4, 9, 1, 0, 11, 5, 6, 9, 1}
{4, 4, 9, 1, 0, 5, 11, 9, 6, 1}
{4, 4, 9, 1, 0, 5, 11, 6, 9, 1}
{4, 4, 8, 13, 0, 12, 2, 4, 2, 1}
{4, 4, 8, 13, 0, 12, 2, 2, 4, 1}
{4, 4, 8, 13, 0, 2, 12, 4, 2, 1}
{4, 4, 8, 13, 0, 2, 12, 2, 4, 1}
{4, 4, 8, 12, 0, 14, 2, 3, 2, 1}
{4, 4, 8, 12, 0, 14, 2, 2, 3, 1}
{4, 4, 8, 12, 0, 10, 2, 6, 3, 1}
{4, 4, 8, 12, 0, 10, 2, 3, 6, 1}
{4, 4, 8, 12, 0, 2, 14, 3, 2, 1}
{4, 4, 8, 12, 0, 2, 14, 2, 3, 1}
{4, 4, 8, 12, 0, 2, 10, 6, 3, 1}
{4, 4, 8, 12, 0, 2, 10, 3, 6, 1}
{4, 4, 8, 8, 0, 19, 4, 1, 1, 1}
{4, 4, 8, 8, 0, 14, 2, 6, 3, 1}
{4, 4, 8, 8, 0, 14, 2, 3, 6, 1}
{4, 4, 8, 8, 0, 7, 4, 13, 1, 1}
{4, 4, 8, 8, 0, 7, 4, 1, 13, 1}
{4, 4, 8, 8, 0, 4, 19, 1, 1, 1}
{4, 4, 8, 8, 0, 4, 7, 13, 1, 1}
{4, 4, 8, 8, 0, 4, 7, 1, 13, 1}
{4, 4, 8, 8, 0, 4, 3, 9, 9, 1}
{4, 4, 8, 8, 0, 2, 14, 6, 3, 1}
{4, 4, 8, 8, 0, 2, 14, 3, 6, 1}
{4, 4, 7, 17, 0, 6, 3, 7, 1, 1}
{4, 4, 7, 17, 0, 6, 3, 1, 7, 1}
{4, 4, 7, 17, 0, 3, 6, 7, 1, 1}
{4, 4, 7, 17, 0, 3, 6, 1, 7, 1}
{4, 4, 7, 7, 0, 19, 4, 2, 2, 1}
{4, 4, 7, 7, 0, 15, 7, 4, 1, 1}
{4, 4, 7, 7, 0, 15, 7, 1, 4, 1}
{4, 4, 7, 7, 0, 15, 2, 6, 4, 1}
{4, 4, 7, 7, 0, 15, 2, 4, 6, 1}
{4, 4, 7, 7, 0, 14, 9, 3, 1, 1}
{4, 4, 7, 7, 0, 14, 9, 1, 3, 1}
{4, 4, 7, 7, 0, 13, 6, 7, 1, 1}
{4, 4, 7, 7, 0, 13, 6, 1, 7, 1}
{4, 4, 7, 7, 0, 9, 14, 3, 1, 1}
{4, 4, 7, 7, 0, 9, 14, 1, 3, 1}
{4, 4, 7, 7, 0, 9, 7, 10, 1, 1}
{4, 4, 7, 7, 0, 9, 7, 1, 10, 1}
{4, 4, 7, 7, 0, 9, 2, 10, 6, 1}
{4, 4, 7, 7, 0, 9, 2, 6, 10, 1}
{4, 4, 7, 7, 0, 7, 15, 4, 1, 1}
{4, 4, 7, 7, 0, 7, 15, 1, 4, 1}
{4, 4, 7, 7, 0, 7, 9, 10, 1, 1}
{4, 4, 7, 7, 0, 7, 9, 1, 10, 1}
{4, 4, 7, 7, 0, 6, 13, 7, 1, 1}
{4, 4, 7, 7, 0, 6, 13, 1, 7, 1}
{4, 4, 7, 7, 0, 4, 19, 2, 2, 1}
{4, 4, 7, 7, 0, 4, 3, 10, 10, 1}
{4, 4, 7, 7, 0, 3, 4, 10, 10, 1}
{4, 4, 7, 7, 0, 2, 15, 6, 4, 1}
{4, 4, 7, 7, 0, 2, 15, 4, 6, 1}
{4, 4, 7, 7, 0, 2, 9, 10, 6, 1}
{4, 4, 7, 7, 0, 2, 9, 6, 10, 1}
{4, 4, 7, 5, 0, 14, 9, 4, 2, 1}
{4, 4, 7, 5, 0, 14, 9, 2, 4, 1}
{4, 4, 7, 5, 0, 9, 14, 4, 2, 1}
{4, 4, 7, 5, 0, 9, 14, 2, 4, 1}
{4, 4, 7, 3, 0, 11, 5, 12, 3, 1}
{4, 4, 7, 3, 0, 11, 5, 3, 12, 1}
{4, 4, 7, 3, 0, 8, 3, 16, 4, 1}
{4, 4, 7, 3, 0, 8, 3, 4, 16, 1}
{4, 4, 7, 3, 0, 5, 11, 12, 3, 1}
{4, 4, 7, 3, 0, 5, 11, 3, 12, 1}
{4, 4, 7, 3, 0, 3, 8, 16, 4, 1}
{4, 4, 7, 3, 0, 3, 8, 4, 16, 1}
{4, 4, 7, 1, 0, 13, 6, 7, 7, 1}
{4, 4, 7, 1, 0, 8, 5, 15, 5, 1}
{4, 4, 7, 1, 0, 8, 5, 5, 15, 1}
{4, 4, 7, 1, 0, 6, 13, 7, 7, 1}
{4, 4, 7, 1, 0, 6, 3, 17, 7, 1}
{4, 4, 7, 1, 0, 6, 3, 7, 17, 1}
{4, 4, 7, 1, 0, 5, 8, 15, 5, 1}
{4, 4, 7, 1, 0, 5, 8, 5, 15, 1}
{4, 4, 7, 1, 0, 5, 4, 18, 6, 1}
{4, 4, 7, 1, 0, 5, 4, 6, 18, 1}
{4, 4, 7, 1, 0, 4, 5, 18, 6, 1}
{4, 4, 7, 1, 0, 4, 5, 6, 18, 1}
{4, 4, 7, 1, 0, 3, 6, 17, 7, 1}
{4, 4, 7, 1, 0, 3, 6, 7, 17, 1}
{4, 4, 6, 21, 0, 9, 3, 1, 1, 1}
{4, 4, 6, 21, 0, 3, 9, 1, 1, 1}
{4, 4, 6, 18, 0, 5, 4, 7, 1, 1}
{4, 4, 6, 18, 0, 5, 4, 1, 7, 1}
{4, 4, 6, 18, 0, 5, 3, 6, 3, 1}
{4, 4, 6, 18, 0, 5, 3, 3, 6, 1}
{4, 4, 6, 18, 0, 4, 5, 7, 1, 1}
{4, 4, 6, 18, 0, 4, 5, 1, 7, 1}
{4, 4, 6, 18, 0, 3, 5, 6, 3, 1}
{4, 4, 6, 18, 0, 3, 5, 3, 6, 1}
{4, 4, 6, 16, 0, 14, 3, 1, 1, 1}
{4, 4, 6, 16, 0, 3, 14, 1, 1, 1}
{4, 4, 6, 12, 0, 2, 11, 5, 5, 1}
{4, 4, 6, 10, 0, 14, 9, 1, 1, 1}
{4, 4, 6, 10, 0, 9, 14, 1, 1, 1}
{4, 4, 6, 10, 0, 9, 2, 7, 7, 1}
{4, 4, 6, 10, 0, 2, 9, 7, 7, 1}
{4, 4, 6, 9, 0, 14, 2, 6, 4, 1}
{4, 4, 6, 9, 0, 14, 2, 4, 6, 1}
{4, 4, 6, 9, 0, 11, 5, 9, 1, 1}
{4, 4, 6, 9, 0, 11, 5, 1, 9, 1}
{4, 4, 6, 9, 0, 5, 11, 9, 1, 1}
{4, 4, 6, 9, 0, 5, 11, 1, 9, 1}
{4, 4, 6, 9, 0, 2, 14, 6, 4, 1}
{4, 4, 6, 9, 0, 2, 14, 4, 6, 1}
{4, 4, 6, 6, 0, 19, 4, 3, 3, 1}
{4, 4, 6, 6, 0, 9, 4, 14, 2, 1}
{4, 4, 6, 6, 0, 9, 4, 2, 14, 1}
{4, 4, 6, 6, 0, 4, 19, 3, 3, 1}
{4, 4, 6, 6, 0, 4, 9, 14, 2, 1}
{4, 4, 6, 6, 0, 4, 9, 2, 14, 1}
{4, 4, 6, 6, 0, 4, 3, 11, 11, 1}
{4, 4, 6, 6, 0, 3, 4, 11, 11, 1}
{4, 4, 6, 4, 0, 17, 5, 6, 3, 1}
{4, 4, 6, 4, 0, 17, 5, 3, 6, 1}
{4, 4, 6, 4, 0, 15, 2, 7, 7, 1}
{4, 4, 6, 4, 0, 14, 2, 9, 6, 1}
{4, 4, 6, 4, 0, 14, 2, 6, 9, 1}
{4, 4, 6, 4, 0, 5, 17, 6, 3, 1}
{4, 4, 6, 4, 0, 5, 17, 3, 6, 1}
{4, 4, 6, 4, 0, 2, 15, 7, 7, 1}
{4, 4, 6, 4, 0, 2, 14, 9, 6, 1}
{4, 4, 6, 4, 0, 2, 14, 6, 9, 1}
{4, 4, 6, 3, 0, 17, 5, 6, 4, 1}
{4, 4, 6, 3, 0, 17, 5, 4, 6, 1}
{4, 4, 6, 3, 0, 14, 2, 8, 8, 1}
{4, 4, 6, 3, 0, 11, 7, 11, 3, 1}
{4, 4, 6, 3, 0, 11, 7, 3, 11, 1}
{4, 4, 6, 3, 0, 10, 2, 12, 8, 1}
{4, 4, 6, 3, 0, 10, 2, 8, 12, 1}
{4, 4, 6, 3, 0, 7, 11, 11, 3, 1}
{4, 4, 6, 3, 0, 7, 11, 3, 11, 1}
{4, 4, 6, 3, 0, 5, 17, 6, 4, 1}
{4, 4, 6, 3, 0, 5, 17, 4, 6, 1}
{4, 4, 6, 3, 0, 5, 3, 18, 6, 1}
{4, 4, 6, 3, 0, 5, 3, 6, 18, 1}
{4, 4, 6, 3, 0, 3, 5, 18, 6, 1}
{4, 4, 6, 3, 0, 3, 5, 6, 18, 1}
{4, 4, 6, 3, 0, 2, 14, 8, 8, 1}
{4, 4, 6, 3, 0, 2, 10, 12, 8, 1}
{4, 4, 6, 3, 0, 2, 10, 8, 12, 1}
{4, 4, 6, 2, 0, 15, 3, 10, 5, 1}
{4, 4, 6, 2, 0, 15, 3, 5, 10, 1}
{4, 4, 6, 2, 0, 11, 2, 10, 10, 1}
{4, 4, 6, 2, 0, 3, 15, 10, 5, 1}
{4, 4, 6, 2, 0, 3, 15, 5, 10, 1}
{4, 4, 6, 2, 0, 2, 11, 10, 10, 1}
{4, 4, 5, 20, 0, 7, 3, 3, 3, 1}
{4, 4, 5, 20, 0, 3, 7, 3, 3, 1}
{4, 4, 5, 19, 0, 6, 3, 5, 3, 1}
{4, 4, 5, 19, 0, 6, 3, 3, 5, 1}
{4, 4, 5, 19, 0, 3, 6, 5, 3, 1}
{4, 4, 5, 19, 0, 3, 6, 3, 5, 1}
{4, 4, 5, 15, 0, 8, 5, 7, 1, 1}
{4, 4, 5, 15, 0, 8, 5, 1, 7, 1}
{4, 4, 5, 15, 0, 5, 8, 7, 1, 1}
{4, 4, 5, 15, 0, 5, 8, 1, 7, 1}
{4, 4, 5, 10, 0, 15, 3, 6, 2, 1}
{4, 4, 5, 10, 0, 15, 3, 2, 6, 1}
{4, 4, 5, 10, 0, 11, 3, 10, 2, 1}
{4, 4, 5, 10, 0, 11, 3, 2, 10, 1}
{4, 4, 5, 10, 0, 3, 15, 6, 2, 1}
{4, 4, 5, 10, 0, 3, 15, 2, 6, 1}
{4, 4, 5, 10, 0, 3, 11, 10, 2, 1}
{4, 4, 5, 10, 0, 3, 11, 2, 10, 1}
{4, 4, 5, 7, 0, 14, 9, 4, 2, 1}
{4, 4, 5, 7, 0, 14, 9, 2, 4, 1}
{4, 4, 5, 7, 0, 9, 14, 4, 2, 1}
{4, 4, 5, 7, 0, 9, 14, 2, 4, 1}
{4, 4, 5, 5, 0, 19, 4, 4, 4, 1}
{4, 4, 5, 5, 0, 13, 3, 12, 3, 1}
{4, 4, 5, 5, 0, 13, 3, 3, 12, 1}
{4, 4, 5, 5, 0, 11, 2, 12, 6, 1}
{4, 4, 5, 5, 0, 11, 2, 6, 12, 1}
{4, 4, 5, 5, 0, 4, 19, 4, 4, 1}
{4, 4, 5, 5, 0, 4, 3, 12, 12, 1}
{4, 4, 5, 5, 0, 3, 13, 12, 3, 1}
{4, 4, 5, 5, 0, 3, 13, 3, 12, 1}
{4, 4, 5, 5, 0, 3, 4, 12, 12, 1}
{4, 4, 5, 3, 0, 6, 3, 19, 5, 1}
{4, 4, 5, 3, 0, 6, 3, 5, 19, 1}
{4, 4, 5, 3, 0, 3, 6, 19, 5, 1}
{4, 4, 5, 3, 0, 3, 6, 5, 19, 1}
{4, 4, 4, 17, 0, 9, 5, 4, 2, 1}
{4, 4, 4, 17, 0, 9, 5, 2, 4, 1}
{4, 4, 4, 17, 0, 5, 9, 4, 2, 1}
{4, 4, 4, 17, 0, 5, 9, 2, 4, 1}
{4, 4, 4, 16, 0, 8, 3, 7, 3, 1}
{4, 4, 4, 16, 0, 8, 3, 3, 7, 1}
{4, 4, 4, 16, 0, 3, 8, 7, 3, 1}
{4, 4, 4, 16, 0, 3, 8, 3, 7, 1}
{4, 4, 4, 13, 0, 12, 6, 4, 2, 1}
{4, 4, 4, 13, 0, 12, 6, 2, 4, 1}
{4, 4, 4, 13, 0, 6, 12, 4, 2, 1}
{4, 4, 4, 13, 0, 6, 12, 2, 4, 1}
{4, 4, 4, 6, 0, 17, 5, 6, 3, 1}
{4, 4, 4, 6, 0, 17, 5, 3, 6, 1}
{4, 4, 4, 6, 0, 15, 2, 7, 7, 1}
{4, 4, 4, 6, 0, 14, 2, 9, 6, 1}
{4, 4, 4, 6, 0, 14, 2, 6, 9, 1}
{4, 4, 4, 6, 0, 5, 17, 6, 3, 1}
{4, 4, 4, 6, 0, 5, 17, 3, 6, 1}
{4, 4, 4, 6, 0, 2, 15, 7, 7, 1}
{4, 4, 4, 6, 0, 2, 14, 9, 6, 1}
{4, 4, 4, 6, 0, 2, 14, 6, 9, 1}
{4, 4, 4, 4, 0, 19, 4, 5, 5, 1}
{4, 4, 4, 4, 0, 4, 19, 5, 5, 1}
{4, 4, 4, 4, 0, 4, 3, 13, 13, 1}
{4, 4, 4, 4, 0, 3, 4, 13, 13, 1}
{4, 4, 4, 2, 0, 14, 9, 7, 5, 1}
{4, 4, 4, 2, 0, 14, 9, 5, 7, 1}
{4, 4, 4, 2, 0, 12, 6, 13, 4, 1}
{4, 4, 4, 2, 0, 12, 6, 4, 13, 1}
{4, 4, 4, 2, 0, 12, 2, 13, 8, 1}
{4, 4, 4, 2, 0, 12, 2, 8, 13, 1}
{4, 4, 4, 2, 0, 9, 14, 7, 5, 1}
{4, 4, 4, 2, 0, 9, 14, 5, 7, 1}
{4, 4, 4, 2, 0, 9, 5, 17, 4, 1}
{4, 4, 4, 2, 0, 9, 5, 4, 17, 1}
{4, 4, 4, 2, 0, 6, 12, 13, 4, 1}
{4, 4, 4, 2, 0, 6, 12, 4, 13, 1}
{4, 4, 4, 2, 0, 5, 9, 17, 4, 1}
{4, 4, 4, 2, 0, 5, 9, 4, 17, 1}
{4, 4, 4, 2, 0, 2, 12, 13, 8, 1}
{4, 4, 4, 2, 0, 2, 12, 8, 13, 1}
{4, 4, 4, 1, 0, 15, 7, 7, 7, 1}
{4, 4, 4, 1, 0, 10, 2, 12, 12, 1}
{4, 4, 4, 1, 0, 7, 15, 7, 7, 1}
{4, 4, 4, 1, 0, 2, 10, 12, 12, 1}
{4, 4, 3, 12, 0, 13, 3, 5, 5, 1}
{4, 4, 3, 12, 0, 11, 5, 7, 3, 1}
{4, 4, 3, 12, 0, 11, 5, 3, 7, 1}
{4, 4, 3, 12, 0, 5, 11, 7, 3, 1}
{4, 4, 3, 12, 0, 5, 11, 3, 7, 1}
{4, 4, 3, 12, 0, 3, 13, 5, 5, 1}
{4, 4, 3, 11, 0, 11, 7, 6, 3, 1}
{4, 4, 3, 11, 0, 11, 7, 3, 6, 1}
{4, 4, 3, 11, 0, 7, 11, 6, 3, 1}
{4, 4, 3, 11, 0, 7, 11, 3, 6, 1}
{4, 4, 3, 7, 0, 11, 5, 12, 3, 1}
{4, 4, 3, 7, 0, 11, 5, 3, 12, 1}
{4, 4, 3, 7, 0, 8, 3, 16, 4, 1}
{4, 4, 3, 7, 0, 8, 3, 4, 16, 1}
{4, 4, 3, 7, 0, 5, 11, 12, 3, 1}
{4, 4, 3, 7, 0, 5, 11, 3, 12, 1}
{4, 4, 3, 7, 0, 3, 8, 16, 4, 1}
{4, 4, 3, 7, 0, 3, 8, 4, 16, 1}
{4, 4, 3, 6, 0, 17, 5, 6, 4, 1}
{4, 4, 3, 6, 0, 17, 5, 4, 6, 1}
{4, 4, 3, 6, 0, 14, 2, 8, 8, 1}
{4, 4, 3, 6, 0, 11, 7, 11, 3, 1}
{4, 4, 3, 6, 0, 11, 7, 3, 11, 1}
{4, 4, 3, 6, 0, 10, 2, 12, 8, 1}
{4, 4, 3, 6, 0, 10, 2, 8, 12, 1}
{4, 4, 3, 6, 0, 7, 11, 11, 3, 1}
{4, 4, 3, 6, 0, 7, 11, 3, 11, 1}
{4, 4, 3, 6, 0, 5, 17, 6, 4, 1}
{4, 4, 3, 6, 0, 5, 17, 4, 6, 1}
{4, 4, 3, 6, 0, 5, 3, 18, 6, 1}
{4, 4, 3, 6, 0, 5, 3, 6, 18, 1}
{4, 4, 3, 6, 0, 3, 5, 18, 6, 1}
{4, 4, 3, 6, 0, 3, 5, 6, 18, 1}
{4, 4, 3, 6, 0, 2, 14, 8, 8, 1}
{4, 4, 3, 6, 0, 2, 10, 12, 8, 1}
{4, 4, 3, 6, 0, 2, 10, 8, 12, 1}
{4, 4, 3, 5, 0, 6, 3, 19, 5, 1}
{4, 4, 3, 5, 0, 6, 3, 5, 19, 1}
{4, 4, 3, 5, 0, 3, 6, 19, 5, 1}
{4, 4, 3, 5, 0, 3, 6, 5, 19, 1}
{4, 4, 3, 3, 0, 19, 4, 6, 6, 1}
{4, 4, 3, 3, 0, 7, 3, 20, 5, 1}
{4, 4, 3, 3, 0, 7, 3, 5, 20, 1}
{4, 4, 3, 3, 0, 4, 19, 6, 6, 1}
{4, 4, 3, 3, 0, 4, 3, 14, 14, 1}
{4, 4, 3, 3, 0, 3, 7, 20, 5, 1}
{4, 4, 3, 3, 0, 3, 7, 5, 20, 1}
{4, 4, 3, 3, 0, 3, 4, 14, 14, 1}
{4, 4, 3, 2, 0, 14, 2, 12, 8, 1}
{4, 4, 3, 2, 0, 14, 2, 8, 12, 1}
{4, 4, 3, 2, 0, 2, 14, 12, 8, 1}
{4, 4, 3, 2, 0, 2, 14, 8, 12, 1}
{4, 4, 3, 1, 0, 14, 9, 7, 7, 1}
{4, 4, 3, 1, 0, 9, 14, 7, 7, 1}
{4, 4, 3, 1, 0, 9, 2, 13, 13, 1}
{4, 4, 3, 1, 0, 2, 9, 13, 13, 1}
{4, 4, 2, 14, 0, 9, 4, 6, 6, 1}
{4, 4, 2, 14, 0, 4, 9, 6, 6, 1}
{4, 4, 2, 10, 0, 11, 3, 10, 5, 1}
{4, 4, 2, 10, 0, 11, 3, 5, 10, 1}
{4, 4, 2, 10, 0, 3, 11, 10, 5, 1}
{4, 4, 2, 10, 0, 3, 11, 5, 10, 1}
{4, 4, 2, 6, 0, 15, 3, 10, 5, 1}
{4, 4, 2, 6, 0, 15, 3, 5, 10, 1}
{4, 4, 2, 6, 0, 11, 2, 10, 10, 1}
{4, 4, 2, 6, 0, 3, 15, 10, 5, 1}
{4, 4, 2, 6, 0, 3, 15, 5, 10, 1}
{4, 4, 2, 6, 0, 2, 11, 10, 10, 1}
{4, 4, 2, 4, 0, 14, 9, 7, 5, 1}
{4, 4, 2, 4, 0, 14, 9, 5, 7, 1}
{4, 4, 2, 4, 0, 12, 6, 13, 4, 1}
{4, 4, 2, 4, 0, 12, 6, 4, 13, 1}
{4, 4, 2, 4, 0, 12, 2, 13, 8, 1}
{4, 4, 2, 4, 0, 12, 2, 8, 13, 1}
{4, 4, 2, 4, 0, 9, 14, 7, 5, 1}
{4, 4, 2, 4, 0, 9, 14, 5, 7, 1}
{4, 4, 2, 4, 0, 9, 5, 17, 4, 1}
{4, 4, 2, 4, 0, 9, 5, 4, 17, 1}
{4, 4, 2, 4, 0, 6, 12, 13, 4, 1}
{4, 4, 2, 4, 0, 6, 12, 4, 13, 1}
{4, 4, 2, 4, 0, 5, 9, 17, 4, 1}
{4, 4, 2, 4, 0, 5, 9, 4, 17, 1}
{4, 4, 2, 4, 0, 2, 12, 13, 8, 1}
{4, 4, 2, 4, 0, 2, 12, 8, 13, 1}
{4, 4, 2, 3, 0, 14, 2, 12, 8, 1}
{4, 4, 2, 3, 0, 14, 2, 8, 12, 1}
{4, 4, 2, 3, 0, 2, 14, 12, 8, 1}
{4, 4, 2, 3, 0, 2, 14, 8, 12, 1}
{4, 4, 2, 2, 0, 19, 4, 7, 7, 1}
{4, 4, 2, 2, 0, 4, 19, 7, 7, 1}
{4, 4, 2, 2, 0, 4, 3, 15, 15, 1}
{4, 4, 2, 2, 0, 3, 4, 15, 15, 1}
{4, 4, 1, 13, 0, 7, 4, 8, 8, 1}
{4, 4, 1, 13, 0, 4, 7, 8, 8, 1}
{4, 4, 1, 10, 0, 9, 7, 7, 7, 1}
{4, 4, 1, 10, 0, 7, 9, 7, 7, 1}
{4, 4, 1, 9, 0, 11, 5, 9, 6, 1}
{4, 4, 1, 9, 0, 11, 5, 6, 9, 1}
{4, 4, 1, 9, 0, 5, 11, 9, 6, 1}
{4, 4, 1, 9, 0, 5, 11, 6, 9, 1}
{4, 4, 1, 7, 0, 13, 6, 7, 7, 1}
{4, 4, 1, 7, 0, 8, 5, 15, 5, 1}
{4, 4, 1, 7, 0, 8, 5, 5, 15, 1}
{4, 4, 1, 7, 0, 6, 13, 7, 7, 1}
{4, 4, 1, 7, 0, 6, 3, 17, 7, 1}
{4, 4, 1, 7, 0, 6, 3, 7, 17, 1}
{4, 4, 1, 7, 0, 5, 8, 15, 5, 1}
{4, 4, 1, 7, 0, 5, 8, 5, 15, 1}
{4, 4, 1, 7, 0, 5, 4, 18, 6, 1}
{4, 4, 1, 7, 0, 5, 4, 6, 18, 1}
{4, 4, 1, 7, 0, 4, 5, 18, 6, 1}
{4, 4, 1, 7, 0, 4, 5, 6, 18, 1}
{4, 4, 1, 7, 0, 3, 6, 17, 7, 1}
{4, 4, 1, 7, 0, 3, 6, 7, 17, 1}
{4, 4, 1, 4, 0, 15, 7, 7, 7, 1}
{4, 4, 1, 4, 0, 10, 2, 12, 12, 1}
{4, 4, 1, 4, 0, 7, 15, 7, 7, 1}
{4, 4, 1, 4, 0, 2, 10, 12, 12, 1}
{4, 4, 1, 3, 0, 14, 9, 7, 7, 1}
{4, 4, 1, 3, 0, 9, 14, 7, 7, 1}
{4, 4, 1, 3, 0, 9, 2, 13, 13, 1}
{4, 4, 1, 3, 0, 2, 9, 13, 13, 1}
{4, 4, 1, 1, 0, 19, 4, 8, 8, 1}
{4, 4, 1, 1, 0, 14, 9, 10, 6, 1}
{4, 4, 1, 1, 0, 14, 9, 6, 10, 1}
{4, 4, 1, 1, 0, 14, 3, 16, 6, 1}
{4, 4, 1, 1, 0, 14, 3, 6, 16, 1}
{4, 4, 1, 1, 0, 13, 2, 15, 9, 1}
{4, 4, 1, 1, 0, 13, 2, 9, 15, 1}
{4, 4, 1, 1, 0, 9, 14, 10, 6, 1}
{4, 4, 1, 1, 0, 9, 14, 6, 10, 1}
{4, 4, 1, 1, 0, 9, 3, 21, 6, 1}
{4, 4, 1, 1, 0, 9, 3, 6, 21, 1}
{4, 4, 1, 1, 0, 4, 19, 8, 8, 1}
{4, 4, 1, 1, 0, 4, 3, 16, 16, 1}
{4, 4, 1, 1, 0, 3, 14, 16, 6, 1}
{4, 4, 1, 1, 0, 3, 14, 6, 16, 1}
{4, 4, 1, 1, 0, 3, 9, 21, 6, 1}
{4, 4, 1, 1, 0, 3, 9, 6, 21, 1}
{4, 4, 1, 1, 0, 3, 4, 16, 16, 1}
{4, 4, 1, 1, 0, 2, 13, 15, 9, 1}
{4, 4, 1, 1, 0, 2, 13, 9, 15, 1}
{4, 3, 15, 6, 0, 11, 5, 4, 1, 1}
{4, 3, 15, 6, 0, 11, 5, 1, 4, 1}
{4, 3, 14, 11, 0, 10, 2, 3, 2, 1}
{4, 3, 14, 11, 0, 10, 2, 2, 3, 1}
{4, 3, 14, 10, 0, 3, 9, 5, 1, 1}
{4, 3, 14, 10, 0, 3, 9, 1, 5, 1}
{4, 3, 14, 2, 0, 3, 9, 7, 7, 1}
{4, 3, 13, 9, 0, 5, 3, 10, 2, 1}
{4, 3, 13, 9, 0, 5, 3, 2, 10, 1}
{4, 3, 13, 5, 0, 9, 3, 10, 2, 1}
{4, 3, 13, 5, 0, 9, 3, 2, 10, 1}
{4, 3, 11, 14, 0, 10, 2, 3, 2, 1}
{4, 3, 11, 14, 0, 10, 2, 2, 3, 1}
{4, 3, 11, 5, 0, 16, 5, 3, 2, 1}
{4, 3, 11, 5, 0, 16, 5, 2, 3, 1}
{4, 3, 10, 14, 0, 3, 9, 5, 1, 1}
{4, 3, 10, 14, 0, 3, 9, 1, 5, 1}
{4, 3, 10, 2, 0, 3, 9, 13, 5, 1}
{4, 3, 10, 2, 0, 3, 9, 5, 13, 1}
{4, 3, 10, 2, 0, 3, 5, 13, 9, 1}
{4, 3, 10, 2, 0, 3, 5, 9, 13, 1}
{4, 3, 9, 13, 0, 5, 3, 10, 2, 1}
{4, 3, 9, 13, 0, 5, 3, 2, 10, 1}
{4, 3, 7, 7, 0, 9, 3, 14, 2, 1}
{4, 3, 7, 7, 0, 9, 3, 2, 14, 1}
{4, 3, 6, 15, 0, 11, 5, 4, 1, 1}
{4, 3, 6, 15, 0, 11, 5, 1, 4, 1}
{4, 3, 5, 13, 0, 9, 3, 10, 2, 1}
{4, 3, 5, 13, 0, 9, 3, 2, 10, 1}
{4, 3, 5, 11, 0, 16, 5, 3, 2, 1}
{4, 3, 5, 11, 0, 16, 5, 2, 3, 1}
{4, 3, 5, 1, 0, 9, 3, 14, 10, 1}
{4, 3, 5, 1, 0, 9, 3, 10, 14, 1}
{4, 3, 4, 1, 0, 5, 11, 15, 6, 1}
{4, 3, 4, 1, 0, 5, 11, 6, 15, 1}
{4, 3, 3, 2, 0, 5, 16, 11, 5, 1}
{4, 3, 3, 2, 0, 5, 16, 5, 11, 1}
{4, 3, 3, 2, 0, 2, 10, 14, 11, 1}
{4, 3, 3, 2, 0, 2, 10, 11, 14, 1}
{4, 3, 2, 14, 0, 3, 9, 7, 7, 1}
{4, 3, 2, 10, 0, 3, 9, 13, 5, 1}
{4, 3, 2, 10, 0, 3, 9, 5, 13, 1}
{4, 3, 2, 10, 0, 3, 5, 13, 9, 1}
{4, 3, 2, 10, 0, 3, 5, 9, 13, 1}
{4, 3, 2, 3, 0, 5, 16, 11, 5, 1}
{4, 3, 2, 3, 0, 5, 16, 5, 11, 1}
{4, 3, 2, 3, 0, 2, 10, 14, 11, 1}
{4, 3, 2, 3, 0, 2, 10, 11, 14, 1}
{4, 3, 1, 5, 0, 9, 3, 14, 10, 1}
{4, 3, 1, 5, 0, 9, 3, 10, 14, 1}
{4, 3, 1, 4, 0, 5, 11, 15, 6, 1}
{4, 3, 1, 4, 0, 5, 11, 6, 15, 1}
{4, 2, 33, 3, 0, 4, 1, 1, 1, 1}
{4, 2, 21, 5, 0, 6, 3, 4, 4, 1}
{4, 2, 18, 6, 0, 11, 3, 3, 2, 1}
{4, 2, 18, 6, 0, 11, 3, 2, 3, 1}
{4, 2, 16, 5, 0, 5, 11, 4, 2, 1}
{4, 2, 16, 5, 0, 5, 11, 2, 4, 1}
{4, 2, 16, 4, 0, 5, 3, 10, 5, 1}
{4, 2, 16, 4, 0, 5, 3, 5, 10, 1}
{4, 2, 16, 3, 0, 3, 11, 5, 5, 1}
{4, 2, 15, 7, 0, 9, 2, 5, 5, 1}
{4, 2, 15, 4, 0, 3, 13, 4, 4, 1}
{4, 2, 13, 13, 0, 5, 6, 5, 1, 1}
{4, 2, 13, 13, 0, 5, 6, 1, 5, 1}
{4, 2, 12, 12, 0, 5, 3, 9, 2, 1}
{4, 2, 12, 12, 0, 5, 3, 2, 9, 1}
{4, 2, 10, 10, 0, 11, 6, 5, 1, 1}
{4, 2, 10, 10, 0, 11, 6, 1, 5, 1}
{4, 2, 10, 6, 0, 9, 2, 10, 6, 1}
{4, 2, 10, 6, 0, 9, 2, 6, 10, 1}
{4, 2, 10, 6, 0, 2, 9, 10, 6, 1}
{4, 2, 10, 6, 0, 2, 9, 6, 10, 1}
{4, 2, 10, 5, 0, 3, 5, 16, 4, 1}
{4, 2, 10, 5, 0, 3, 5, 4, 16, 1}
{4, 2, 9, 2, 0, 13, 3, 8, 8, 1}
{4, 2, 9, 2, 0, 3, 5, 12, 12, 1}
{4, 2, 8, 8, 0, 3, 13, 9, 2, 1}
{4, 2, 8, 8, 0, 3, 13, 2, 9, 1}
{4, 2, 7, 15, 0, 9, 2, 5, 5, 1}
{4, 2, 6, 18, 0, 11, 3, 3, 2, 1}
{4, 2, 6, 18, 0, 11, 3, 2, 3, 1}
{4, 2, 6, 10, 0, 9, 2, 10, 6, 1}
{4, 2, 6, 10, 0, 9, 2, 6, 10, 1}
{4, 2, 6, 10, 0, 2, 9, 10, 6, 1}
{4, 2, 6, 10, 0, 2, 9, 6, 10, 1}
{4, 2, 6, 5, 0, 21, 3, 4, 4, 1}
{4, 2, 5, 21, 0, 6, 3, 4, 4, 1}
{4, 2, 5, 16, 0, 5, 11, 4, 2, 1}
{4, 2, 5, 16, 0, 5, 11, 2, 4, 1}
{4, 2, 5, 10, 0, 3, 5, 16, 4, 1}
{4, 2, 5, 10, 0, 3, 5, 4, 16, 1}
{4, 2, 5, 6, 0, 21, 3, 4, 4, 1}
{4, 2, 5, 5, 0, 11, 3, 16, 3, 1}
{4, 2, 5, 5, 0, 11, 3, 3, 16, 1}
{4, 2, 5, 5, 0, 2, 9, 15, 7, 1}
{4, 2, 5, 5, 0, 2, 9, 7, 15, 1}
{4, 2, 5, 1, 0, 6, 11, 10, 10, 1}
{4, 2, 5, 1, 0, 6, 5, 13, 13, 1}
{4, 2, 4, 16, 0, 5, 3, 10, 5, 1}
{4, 2, 4, 16, 0, 5, 3, 5, 10, 1}
{4, 2, 4, 15, 0, 3, 13, 4, 4, 1}
{4, 2, 4, 4, 0, 13, 3, 15, 4, 1}
{4, 2, 4, 4, 0, 13, 3, 4, 15, 1}
{4, 2, 4, 4, 0, 3, 21, 6, 5, 1}
{4, 2, 4, 4, 0, 3, 21, 5, 6, 1}
{4, 2, 4, 4, 0, 3, 6, 21, 5, 1}
{4, 2, 4, 4, 0, 3, 6, 5, 21, 1}
{4, 2, 4, 2, 0, 11, 5, 16, 5, 1}
{4, 2, 4, 2, 0, 11, 5, 5, 16, 1}
{4, 2, 3, 33, 0, 4, 1, 1, 1, 1}
{4, 2, 3, 16, 0, 3, 11, 5, 5, 1}
{4, 2, 3, 2, 0, 3, 11, 18, 6, 1}
{4, 2, 3, 2, 0, 3, 11, 6, 18, 1}
{4, 2, 2, 9, 0, 13, 3, 8, 8, 1}
{4, 2, 2, 9, 0, 3, 5, 12, 12, 1}
{4, 2, 2, 4, 0, 11, 5, 16, 5, 1}
{4, 2, 2, 4, 0, 11, 5, 5, 16, 1}
{4, 2, 2, 3, 0, 3, 11, 18, 6, 1}
{4, 2, 2, 3, 0, 3, 11, 6, 18, 1}
{4, 2, 1, 5, 0, 6, 11, 10, 10, 1}
{4, 2, 1, 5, 0, 6, 5, 13, 13, 1}
{4, 2, 1, 1, 0, 1, 4, 33, 3, 1}
{4, 2, 1, 1, 0, 1, 4, 3, 33, 1}
{4, 1, 28, 4, 0, 9, 1, 1, 1, 1}
{4, 1, 22, 4, 0, 4, 6, 4, 4, 1}
{4, 1, 21, 7, 0, 5, 3, 4, 4, 1}
{4, 1, 21, 6, 0, 5, 3, 5, 4, 1}
{4, 1, 21, 6, 0, 5, 3, 4, 5, 1}
{4, 1, 19, 4, 0, 3, 5, 7, 6, 1}
{4, 1, 19, 4, 0, 3, 5, 6, 7, 1}
{4, 1, 15, 9, 0, 8, 2, 5, 5, 1}
{4, 1, 13, 13, 0, 3, 5, 7, 3, 1}
{4, 1, 13, 13, 0, 3, 5, 3, 7, 1}
{4, 1, 10, 10, 0, 13, 7, 2, 2, 1}
{4, 1, 9, 15, 0, 8, 2, 5, 5, 1}
{4, 1, 7, 21, 0, 5, 3, 4, 4, 1}
{4, 1, 7, 7, 0, 5, 17, 6, 2, 1}
{4, 1, 7, 7, 0, 5, 17, 2, 6, 1}
{4, 1, 7, 6, 0, 5, 3, 19, 4, 1}
{4, 1, 7, 6, 0, 5, 3, 4, 19, 1}
{4, 1, 7, 3, 0, 5, 3, 13, 13, 1}
{4, 1, 6, 21, 0, 5, 3, 5, 4, 1}
{4, 1, 6, 21, 0, 5, 3, 4, 5, 1}
{4, 1, 6, 7, 0, 5, 3, 19, 4, 1}
{4, 1, 6, 7, 0, 5, 3, 4, 19, 1}
{4, 1, 6, 2, 0, 17, 5, 7, 7, 1}
{4, 1, 5, 5, 0, 2, 8, 15, 9, 1}
{4, 1, 5, 5, 0, 2, 8, 9, 15, 1}
{4, 1, 5, 4, 0, 3, 5, 21, 6, 1}
{4, 1, 5, 4, 0, 3, 5, 6, 21, 1}
{4, 1, 4, 28, 0, 9, 1, 1, 1, 1}
{4, 1, 4, 22, 0, 4, 6, 4, 4, 1}
{4, 1, 4, 19, 0, 3, 5, 7, 6, 1}
{4, 1, 4, 19, 0, 3, 5, 6, 7, 1}
{4, 1, 4, 5, 0, 3, 5, 21, 6, 1}
{4, 1, 4, 5, 0, 3, 5, 6, 21, 1}
{4, 1, 4, 4, 0, 6, 4, 22, 4, 1}
{4, 1, 4, 4, 0, 6, 4, 4, 22, 1}
{4, 1, 4, 4, 0, 3, 5, 21, 7, 1}
{4, 1, 4, 4, 0, 3, 5, 7, 21, 1}
{4, 1, 3, 7, 0, 5, 3, 13, 13, 1}
{4, 1, 2, 6, 0, 17, 5, 7, 7, 1}
{4, 1, 2, 2, 0, 7, 13, 10, 10, 1}
{4, 1, 1, 1, 0, 1, 9, 28, 4, 1}
{4, 1, 1, 1, 0, 1, 9, 4, 28, 1}
{3, 33, 3, 2, 0, 2, 2, 3, 1, 1}
{3, 33, 3, 2, 0, 2, 2, 1, 3, 1}
{3, 33, 3, 1, 0, 2, 2, 3, 2, 1}
{3, 33, 3, 1, 0, 2, 2, 2, 3, 1}
{3, 33, 2, 3, 0, 2, 2, 3, 1, 1}
{3, 33, 2, 3, 0, 2, 2, 1, 3, 1}
{3, 33, 2, 1, 0, 6, 1, 2, 1, 1}
{3, 33, 2, 1, 0, 6, 1, 1, 2, 1}
{3, 33, 2, 1, 0, 1, 6, 2, 1, 1}
{3, 33, 2, 1, 0, 1, 6, 1, 2, 1}
{3, 33, 1, 3, 0, 2, 2, 3, 2, 1}
{3, 33, 1, 3, 0, 2, 2, 2, 3, 1}
{3, 33, 1, 2, 0, 6, 1, 2, 1, 1}
{3, 33, 1, 2, 0, 6, 1, 1, 2, 1}
{3, 33, 1, 2, 0, 1, 6, 2, 1, 1}
{3, 33, 1, 2, 0, 1, 6, 1, 2, 1}
{3, 24, 9, 1, 0, 5, 1, 5, 1, 1}
{3, 24, 9, 1, 0, 5, 1, 1, 5, 1}
{3, 24, 5, 1, 0, 1, 5, 9, 1, 1}
{3, 24, 5, 1, 0, 1, 5, 1, 9, 1}
{3, 24, 1, 9, 0, 5, 1, 5, 1, 1}
{3, 24, 1, 9, 0, 5, 1, 1, 5, 1}
{3, 24, 1, 5, 0, 1, 5, 9, 1, 1}
{3, 24, 1, 5, 0, 1, 5, 1, 9, 1}
{3, 23, 11, 1, 0, 5, 1, 4, 1, 1}
{3, 23, 11, 1, 0, 5, 1, 1, 4, 1}
{3, 23, 8, 1, 0, 5, 1, 7, 1, 1}
{3, 23, 8, 1, 0, 5, 1, 1, 7, 1}
{3, 23, 7, 1, 0, 1, 5, 8, 1, 1}
{3, 23, 7, 1, 0, 1, 5, 1, 8, 1}
{3, 23, 4, 1, 0, 1, 5, 11, 1, 1}
{3, 23, 4, 1, 0, 1, 5, 1, 11, 1}
{3, 23, 1, 11, 0, 5, 1, 4, 1, 1}
{3, 23, 1, 11, 0, 5, 1, 1, 4, 1}
{3, 23, 1, 8, 0, 5, 1, 7, 1, 1}
{3, 23, 1, 8, 0, 5, 1, 1, 7, 1}
{3, 23, 1, 7, 0, 1, 5, 8, 1, 1}
{3, 23, 1, 7, 0, 1, 5, 1, 8, 1}
{3, 23, 1, 4, 0, 1, 5, 11, 1, 1}
{3, 23, 1, 4, 0, 1, 5, 1, 11, 1}
{3, 21, 7, 5, 0, 4, 5, 2, 2, 1}
{3, 21, 5, 7, 0, 4, 5, 2, 2, 1}
{3, 21, 2, 2, 0, 5, 4, 7, 5, 1}
{3, 21, 2, 2, 0, 5, 4, 5, 7, 1}
{3, 18, 12, 5, 0, 2, 6, 2, 1, 1}
{3, 18, 12, 5, 0, 2, 6, 1, 2, 1}
{3, 18, 7, 7, 0, 2, 6, 3, 3, 1}
{3, 18, 5, 12, 0, 2, 6, 2, 1, 1}
{3, 18, 5, 12, 0, 2, 6, 1, 2, 1}
{3, 18, 3, 3, 0, 6, 2, 7, 7, 1}
{3, 18, 2, 1, 0, 6, 2, 12, 5, 1}
{3, 18, 2, 1, 0, 6, 2, 5, 12, 1}
{3, 18, 1, 2, 0, 6, 2, 12, 5, 1}
{3, 18, 1, 2, 0, 6, 2, 5, 12, 1}
{3, 16, 11, 4, 0, 4, 6, 3, 2, 1}
{3, 16, 11, 4, 0, 4, 6, 2, 3, 1}
{3, 16, 10, 4, 0, 3, 9, 2, 2, 1}
{3, 16, 4, 11, 0, 4, 6, 3, 2, 1}
{3, 16, 4, 11, 0, 4, 6, 2, 3, 1}
{3, 16, 4, 10, 0, 3, 9, 2, 2, 1}
{3, 16, 3, 2, 0, 6, 4, 11, 4, 1}
{3, 16, 3, 2, 0, 6, 4, 4, 11, 1}
{3, 16, 2, 3, 0, 6, 4, 11, 4, 1}
{3, 16, 2, 3, 0, 6, 4, 4, 11, 1}
{3, 16, 2, 2, 0, 9, 3, 10, 4, 1}
{3, 16, 2, 2, 0, 9, 3, 4, 10, 1}
{3, 15, 18, 2, 0, 1, 2, 7, 1, 1}
{3, 15, 18, 2, 0, 1, 2, 1, 7, 1}
{3, 15, 16, 4, 0, 3, 6, 1, 1, 1}
{3, 15, 16, 1, 0, 5, 1, 7, 1, 1}
{3, 15, 16, 1, 0, 5, 1, 1, 7, 1}
{3, 15, 12, 1, 0, 1, 5, 11, 1, 1}
{3, 15, 12, 1, 0, 1, 5, 1, 11, 1}
{3, 15, 11, 1, 0, 5, 1, 12, 1, 1}
{3, 15, 11, 1, 0, 5, 1, 1, 12, 1}
{3, 15, 10, 5, 0, 11, 3, 1, 1, 1}
{3, 15, 10, 4, 0, 3, 12, 1, 1, 1}
{3, 15, 9, 6, 0, 6, 3, 5, 2, 1}
{3, 15, 9, 6, 0, 6, 3, 2, 5, 1}
{3, 15, 9, 4, 0, 4, 8, 3, 3, 1}
{3, 15, 8, 5, 0, 6, 4, 6, 2, 1}
{3, 15, 8, 5, 0, 6, 4, 2, 6, 1}
{3, 15, 8, 4, 0, 5, 6, 4, 4, 1}
{3, 15, 7, 1, 0, 2, 1, 18, 2, 1}
{3, 15, 7, 1, 0, 2, 1, 2, 18, 1}
{3, 15, 7, 1, 0, 1, 5, 16, 1, 1}
{3, 15, 7, 1, 0, 1, 5, 1, 16, 1}
{3, 15, 6, 9, 0, 6, 3, 5, 2, 1}
{3, 15, 6, 9, 0, 6, 3, 2, 5, 1}
{3, 15, 6, 6, 0, 7, 4, 6, 2, 1}
{3, 15, 6, 6, 0, 7, 4, 2, 6, 1}
{3, 15, 6, 6, 0, 3, 6, 5, 5, 1}
{3, 15, 6, 4, 0, 7, 4, 5, 5, 1}
{3, 15, 6, 2, 0, 4, 7, 6, 6, 1}
{3, 15, 6, 2, 0, 4, 6, 8, 5, 1}
{3, 15, 6, 2, 0, 4, 6, 5, 8, 1}
{3, 15, 5, 10, 0, 11, 3, 1, 1, 1}
{3, 15, 5, 8, 0, 6, 4, 6, 2, 1}
{3, 15, 5, 8, 0, 6, 4, 2, 6, 1}
{3, 15, 5, 5, 0, 6, 7, 4, 4, 1}
{3, 15, 5, 5, 0, 6, 3, 6, 6, 1}
{3, 15, 5, 5, 0, 4, 7, 6, 4, 1}
{3, 15, 5, 5, 0, 4, 7, 4, 6, 1}
{3, 15, 5, 2, 0, 3, 6, 9, 6, 1}
{3, 15, 5, 2, 0, 3, 6, 6, 9, 1}
{3, 15, 4, 16, 0, 3, 6, 1, 1, 1}
{3, 15, 4, 10, 0, 3, 12, 1, 1, 1}
{3, 15, 4, 9, 0, 4, 8, 3, 3, 1}
{3, 15, 4, 8, 0, 5, 6, 4, 4, 1}
{3, 15, 4, 6, 0, 7, 4, 5, 5, 1}
{3, 15, 4, 4, 0, 7, 6, 5, 5, 1}
{3, 15, 4, 4, 0, 6, 5, 8, 4, 1}
{3, 15, 4, 4, 0, 6, 5, 4, 8, 1}
{3, 15, 3, 3, 0, 8, 4, 9, 4, 1}
{3, 15, 3, 3, 0, 8, 4, 4, 9, 1}
{3, 15, 2, 18, 0, 1, 2, 7, 1, 1}
{3, 15, 2, 18, 0, 1, 2, 1, 7, 1}
{3, 15, 2, 6, 0, 4, 7, 6, 6, 1}
{3, 15, 2, 6, 0, 4, 6, 8, 5, 1}
{3, 15, 2, 6, 0, 4, 6, 5, 8, 1}
{3, 15, 2, 5, 0, 3, 6, 9, 6, 1}
{3, 15, 2, 5, 0, 3, 6, 6, 9, 1}
{3, 15, 1, 16, 0, 5, 1, 7, 1, 1}
{3, 15, 1, 16, 0, 5, 1, 1, 7, 1}
{3, 15, 1, 12, 0, 1, 5, 11, 1, 1}
{3, 15, 1, 12, 0, 1, 5, 1, 11, 1}
{3, 15, 1, 11, 0, 5, 1, 12, 1, 1}
{3, 15, 1, 11, 0, 5, 1, 1, 12, 1}
{3, 15, 1, 7, 0, 2, 1, 18, 2, 1}
{3, 15, 1, 7, 0, 2, 1, 2, 18, 1}
{3, 15, 1, 7, 0, 1, 5, 16, 1, 1}
{3, 15, 1, 7, 0, 1, 5, 1, 16, 1}
{3, 15, 1, 1, 0, 12, 3, 10, 4, 1}
{3, 15, 1, 1, 0, 12, 3, 4, 10, 1}
{3, 15, 1, 1, 0, 6, 3, 16, 4, 1}
{3, 15, 1, 1, 0, 6, 3, 4, 16, 1}
{3, 15, 1, 1, 0, 3, 11, 10, 5, 1}
{3, 15, 1, 1, 0, 3, 11, 5, 10, 1}
{3, 14, 14, 1, 0, 5, 1, 10, 1, 1}
{3, 14, 14, 1, 0, 5, 1, 1, 10, 1}
{3, 14, 10, 5, 0, 5, 4, 7, 1, 1}
{3, 14, 10, 5, 0, 5, 4, 1, 7, 1}
{3, 14, 10, 1, 0, 1, 5, 14, 1, 1}
{3, 14, 10, 1, 0, 1, 5, 1, 14, 1}
{3, 14, 8, 8, 0, 2, 6, 4, 4, 1}
{3, 14, 7, 1, 0, 4, 5, 10, 5, 1}
{3, 14, 7, 1, 0, 4, 5, 5, 10, 1}
{3, 14, 5, 10, 0, 5, 4, 7, 1, 1}
{3, 14, 5, 10, 0, 5, 4, 1, 7, 1}
{3, 14, 4, 4, 0, 6, 2, 8, 8, 1}
{3, 14, 1, 14, 0, 5, 1, 10, 1, 1}
{3, 14, 1, 14, 0, 5, 1, 1, 10, 1}
{3, 14, 1, 10, 0, 1, 5, 14, 1, 1}
{3, 14, 1, 10, 0, 1, 5, 1, 14, 1}
{3, 14, 1, 7, 0, 4, 5, 10, 5, 1}
{3, 14, 1, 7, 0, 4, 5, 5, 10, 1}
{3, 13, 22, 1, 0, 1, 6, 2, 1, 1}
{3, 13, 22, 1, 0, 1, 6, 1, 2, 1}
{3, 13, 2, 1, 0, 6, 1, 22, 1, 1}
{3, 13, 2, 1, 0, 6, 1, 1, 22, 1}
{3, 13, 1, 22, 0, 1, 6, 2, 1, 1}
{3, 13, 1, 22, 0, 1, 6, 1, 2, 1}
{3, 13, 1, 2, 0, 6, 1, 22, 1, 1}
{3, 13, 1, 2, 0, 6, 1, 1, 22, 1}
{3, 12, 15, 10, 0, 2, 5, 1, 1, 1}
{3, 12, 15, 4, 0, 8, 5, 1, 1, 1}
{3, 12, 13, 11, 0, 2, 5, 2, 1, 1}
{3, 12, 13, 11, 0, 2, 5, 1, 2, 1}
{3, 12, 12, 4, 0, 3, 9, 3, 3, 1}
{3, 12, 11, 13, 0, 2, 5, 2, 1, 1}
{3, 12, 11, 13, 0, 2, 5, 1, 2, 1}
{3, 12, 10, 15, 0, 2, 5, 1, 1, 1}
{3, 12, 10, 9, 0, 11, 2, 1, 1, 1}
{3, 12, 10, 4, 0, 3, 7, 5, 5, 1}
{3, 12, 9, 10, 0, 11, 2, 1, 1, 1}
{3, 12, 8, 4, 0, 10, 4, 4, 4, 1}
{3, 12, 8, 4, 0, 7, 9, 3, 3, 1}
{3, 12, 7, 5, 0, 11, 8, 2, 1, 1}
{3, 12, 7, 5, 0, 11, 8, 1, 2, 1}
{3, 12, 6, 6, 0, 3, 17, 1, 1, 1}
{3, 12, 6, 6, 0, 3, 13, 5, 1, 1}
{3, 12, 6, 6, 0, 3, 13, 1, 5, 1}
{3, 12, 5, 7, 0, 11, 8, 2, 1, 1}
{3, 12, 5, 7, 0, 11, 8, 1, 2, 1}
{3, 12, 5, 5, 0, 7, 3, 10, 4, 1}
{3, 12, 5, 5, 0, 7, 3, 4, 10, 1}
{3, 12, 5, 1, 0, 13, 3, 6, 6, 1}
{3, 12, 4, 15, 0, 8, 5, 1, 1, 1}
{3, 12, 4, 12, 0, 3, 9, 3, 3, 1}
{3, 12, 4, 10, 0, 3, 7, 5, 5, 1}
{3, 12, 4, 8, 0, 10, 4, 4, 4, 1}
{3, 12, 4, 8, 0, 7, 9, 3, 3, 1}
{3, 12, 4, 4, 0, 4, 10, 8, 4, 1}
{3, 12, 4, 4, 0, 4, 10, 4, 8, 1}
{3, 12, 3, 3, 0, 9, 7, 8, 4, 1}
{3, 12, 3, 3, 0, 9, 7, 4, 8, 1}
{3, 12, 3, 3, 0, 9, 3, 12, 4, 1}
{3, 12, 3, 3, 0, 9, 3, 4, 12, 1}
{3, 12, 2, 1, 0, 8, 11, 7, 5, 1}
{3, 12, 2, 1, 0, 8, 11, 5, 7, 1}
{3, 12, 2, 1, 0, 5, 2, 13, 11, 1}
{3, 12, 2, 1, 0, 5, 2, 11, 13, 1}
{3, 12, 1, 5, 0, 13, 3, 6, 6, 1}
{3, 12, 1, 2, 0, 8, 11, 7, 5, 1}
{3, 12, 1, 2, 0, 8, 11, 5, 7, 1}
{3, 12, 1, 2, 0, 5, 2, 13, 11, 1}
{3, 12, 1, 2, 0, 5, 2, 11, 13, 1}
{3, 12, 1, 1, 0, 17, 3, 6, 6, 1}
{3, 12, 1, 1, 0, 5, 8, 15, 4, 1}
{3, 12, 1, 1, 0, 5, 8, 4, 15, 1}
{3, 12, 1, 1, 0, 5, 2, 15, 10, 1}
{3, 12, 1, 1, 0, 5, 2, 10, 15, 1}
{3, 12, 1, 1, 0, 2, 11, 10, 9, 1}
{3, 12, 1, 1, 0, 2, 11, 9, 10, 1}
{3, 10, 11, 7, 0, 5, 3, 8, 2, 1}
{3, 10, 11, 7, 0, 5, 3, 2, 8, 1}
{3, 10, 11, 5, 0, 3, 5, 7, 5, 1}
{3, 10, 11, 5, 0, 3, 5, 5, 7, 1}
{3, 10, 11, 2, 0, 6, 3, 7, 7, 1}
{3, 10, 8, 2, 0, 3, 5, 11, 7, 1}
{3, 10, 8, 2, 0, 3, 5, 7, 11, 1}
{3, 10, 7, 11, 0, 5, 3, 8, 2, 1}
{3, 10, 7, 11, 0, 5, 3, 2, 8, 1}
{3, 10, 7, 7, 0, 3, 6, 11, 2, 1}
{3, 10, 7, 7, 0, 3, 6, 2, 11, 1}
{3, 10, 7, 7, 0, 2, 12, 6, 2, 1}
{3, 10, 7, 7, 0, 2, 12, 2, 6, 1}
{3, 10, 7, 5, 0, 5, 3, 11, 5, 1}
{3, 10, 7, 5, 0, 5, 3, 5, 11, 1}
{3, 10, 6, 2, 0, 12, 2, 7, 7, 1}
{3, 10, 5, 11, 0, 3, 5, 7, 5, 1}
{3, 10, 5, 11, 0, 3, 5, 5, 7, 1}
{3, 10, 5, 7, 0, 5, 3, 11, 5, 1}
{3, 10, 5, 7, 0, 5, 3, 5, 11, 1}
{3, 10, 2, 11, 0, 6, 3, 7, 7, 1}
{3, 10, 2, 8, 0, 3, 5, 11, 7, 1}
{3, 10, 2, 8, 0, 3, 5, 7, 11, 1}
{3, 10, 2, 6, 0, 12, 2, 7, 7, 1}
{3, 9, 12, 6, 0, 2, 9, 4, 4, 1}
{3, 9, 10, 10, 0, 3, 4, 5, 5, 1}
{3, 9, 7, 7, 0, 2, 15, 3, 3, 1}
{3, 9, 7, 7, 0, 2, 11, 6, 4, 1}
{3, 9, 7, 7, 0, 2, 11, 4, 6, 1}
{3, 9, 6, 12, 0, 2, 9, 4, 4, 1}
{3, 9, 6, 4, 0, 11, 2, 7, 7, 1}
{3, 9, 5, 5, 0, 4, 15, 4, 4, 1}
{3, 9, 5, 5, 0, 4, 3, 10, 10, 1}
{3, 9, 4, 6, 0, 11, 2, 7, 7, 1}
{3, 9, 4, 4, 0, 15, 4, 5, 5, 1}
{3, 9, 4, 4, 0, 9, 2, 12, 6, 1}
{3, 9, 4, 4, 0, 9, 2, 6, 12, 1}
{3, 9, 3, 3, 0, 15, 2, 7, 7, 1}
{3, 8, 27, 1, 0, 6, 1, 2, 1, 1}
{3, 8, 27, 1, 0, 6, 1, 1, 2, 1}
{3, 8, 22, 6, 0, 3, 5, 1, 1, 1}
{3, 8, 12, 3, 0, 9, 3, 6, 5, 1}
{3, 8, 12, 3, 0, 9, 3, 5, 6, 1}
{3, 8, 12, 1, 0, 6, 5, 7, 7, 1}
{3, 8, 11, 9, 0, 14, 2, 1, 1, 1}
{3, 8, 10, 5, 0, 11, 10, 1, 1, 1}
{3, 8, 10, 2, 0, 3, 5, 9, 9, 1}
{3, 8, 9, 11, 0, 14, 2, 1, 1, 1}
{3, 8, 9, 9, 0, 5, 3, 10, 2, 1}
{3, 8, 9, 9, 0, 5, 3, 2, 10, 1}
{3, 8, 7, 7, 0, 5, 6, 12, 1, 1}
{3, 8, 7, 7, 0, 5, 6, 1, 12, 1}
{3, 8, 6, 22, 0, 3, 5, 1, 1, 1}
{3, 8, 6, 5, 0, 3, 9, 12, 3, 1}
{3, 8, 6, 5, 0, 3, 9, 3, 12, 1}
{3, 8, 5, 10, 0, 11, 10, 1, 1, 1}
{3, 8, 5, 6, 0, 3, 9, 12, 3, 1}
{3, 8, 5, 6, 0, 3, 9, 3, 12, 1}
{3, 8, 3, 12, 0, 9, 3, 6, 5, 1}
{3, 8, 3, 12, 0, 9, 3, 5, 6, 1}
{3, 8, 2, 10, 0, 3, 5, 9, 9, 1}
{3, 8, 2, 1, 0, 1, 6, 27, 1, 1}
{3, 8, 2, 1, 0, 1, 6, 1, 27, 1}
{3, 8, 1, 27, 0, 6, 1, 2, 1, 1}
{3, 8, 1, 27, 0, 6, 1, 1, 2, 1}
{3, 8, 1, 12, 0, 6, 5, 7, 7, 1}
{3, 8, 1, 2, 0, 1, 6, 27, 1, 1}
{3, 8, 1, 2, 0, 1, 6, 1, 27, 1}
{3, 8, 1, 1, 0, 10, 11, 10, 5, 1}
{3, 8, 1, 1, 0, 10, 11, 5, 10, 1}
{3, 8, 1, 1, 0, 5, 3, 22, 6, 1}
{3, 8, 1, 1, 0, 5, 3, 6, 22, 1}
{3, 8, 1, 1, 0, 2, 14, 11, 9, 1}
{3, 8, 1, 1, 0, 2, 14, 9, 11, 1}
{3, 7, 20, 10, 0, 3, 4, 1, 1, 1}
{3, 7, 15, 9, 0, 11, 2, 1, 1, 1}
{3, 7, 13, 13, 0, 4, 3, 4, 2, 1}
{3, 7, 13, 13, 0, 4, 3, 2, 4, 1}
{3, 7, 11, 11, 0, 2, 8, 5, 2, 1}
{3, 7, 11, 11, 0, 2, 8, 2, 5, 1}
{3, 7, 10, 20, 0, 3, 4, 1, 1, 1}
{3, 7, 9, 15, 0, 11, 2, 1, 1, 1}
{3, 7, 9, 2, 0, 12, 4, 7, 5, 1}
{3, 7, 9, 2, 0, 12, 4, 5, 7, 1}
{3, 7, 8, 1, 0, 12, 4, 7, 7, 1}
{3, 7, 7, 7, 0, 4, 12, 8, 1, 1}
{3, 7, 7, 7, 0, 4, 12, 1, 8, 1}
{3, 7, 7, 5, 0, 4, 12, 9, 2, 1}
{3, 7, 7, 5, 0, 4, 12, 2, 9, 1}
{3, 7, 5, 7, 0, 4, 12, 9, 2, 1}
{3, 7, 5, 7, 0, 4, 12, 2, 9, 1}
{3, 7, 5, 2, 0, 8, 2, 11, 11, 1}
{3, 7, 4, 2, 0, 3, 4, 13, 13, 1}
{3, 7, 2, 9, 0, 12, 4, 7, 5, 1}
{3, 7, 2, 9, 0, 12, 4, 5, 7, 1}
{3, 7, 2, 5, 0, 8, 2, 11, 11, 1}
{3, 7, 2, 4, 0, 3, 4, 13, 13, 1}
{3, 7, 1, 8, 0, 12, 4, 7, 7, 1}
{3, 7, 1, 1, 0, 4, 3, 20, 10, 1}
{3, 7, 1, 1, 0, 4, 3, 10, 20, 1}
{3, 7, 1, 1, 0, 2, 11, 15, 9, 1}
{3, 7, 1, 1, 0, 2, 11, 9, 15, 1}
{3, 6, 19, 5, 0, 8, 5, 2, 1, 1}
{3, 6, 19, 5, 0, 8, 5, 1, 2, 1}
{3, 6, 19, 5, 0, 5, 8, 2, 1, 1}
{3, 6, 19, 5, 0, 5, 8, 1, 2, 1}
{3, 6, 18, 6, 0, 11, 3, 1, 1, 1}
{3, 6, 18, 6, 0, 8, 3, 4, 1, 1}
{3, 6, 18, 6, 0, 8, 3, 1, 4, 1}
{3, 6, 18, 6, 0, 5, 3, 4, 4, 1}
{3, 6, 18, 6, 0, 3, 11, 1, 1, 1}
{3, 6, 18, 6, 0, 3, 8, 4, 1, 1}
{3, 6, 18, 6, 0, 3, 8, 1, 4, 1}
{3, 6, 18, 6, 0, 3, 5, 4, 4, 1}
{3, 6, 16, 4, 0, 7, 5, 6, 2, 1}
{3, 6, 16, 4, 0, 7, 5, 2, 6, 1}
{3, 6, 16, 4, 0, 5, 7, 6, 2, 1}
{3, 6, 16, 4, 0, 5, 7, 2, 6, 1}
{3, 6, 15, 10, 0, 11, 2, 1, 1, 1}
{3, 6, 15, 10, 0, 2, 11, 1, 1, 1}
{3, 6, 15, 9, 0, 5, 3, 7, 1, 1}
{3, 6, 15, 9, 0, 5, 3, 1, 7, 1}
{3, 6, 15, 9, 0, 3, 5, 7, 1, 1}
{3, 6, 15, 9, 0, 3, 5, 1, 7, 1}
{3, 6, 15, 5, 0, 11, 5, 3, 1, 1}
{3, 6, 15, 5, 0, 11, 5, 1, 3, 1}
{3, 6, 15, 5, 0, 5, 11, 3, 1, 1}
{3, 6, 15, 5, 0, 5, 11, 1, 3, 1}
{3, 6, 15, 3, 0, 7, 3, 6, 6, 1}
{3, 6, 14, 10, 0, 11, 2, 2, 1, 1}
{3, 6, 14, 10, 0, 11, 2, 1, 2, 1}
{3, 6, 14, 10, 0, 2, 11, 2, 1, 1}
{3, 6, 14, 10, 0, 2, 11, 1, 2, 1}
{3, 6, 12, 8, 0, 10, 2, 4, 4, 1}
{3, 6, 12, 8, 0, 2, 10, 4, 4, 1}
{3, 6, 12, 4, 0, 11, 5, 6, 2, 1}
{3, 6, 12, 4, 0, 11, 5, 2, 6, 1}
{3, 6, 12, 4, 0, 5, 11, 6, 2, 1}
{3, 6, 12, 4, 0, 5, 11, 2, 6, 1}
{3, 6, 11, 11, 0, 14, 2, 1, 1, 1}
{3, 6, 11, 11, 0, 2, 14, 1, 1, 1}
{3, 6, 11, 7, 0, 11, 2, 5, 4, 1}
{3, 6, 11, 7, 0, 11, 2, 4, 5, 1}
{3, 6, 11, 7, 0, 2, 11, 5, 4, 1}
{3, 6, 11, 7, 0, 2, 11, 4, 5, 1}
{3, 6, 11, 3, 0, 11, 7, 4, 4, 1}
{3, 6, 11, 3, 0, 7, 11, 4, 4, 1}
{3, 6, 10, 15, 0, 11, 2, 1, 1, 1}
{3, 6, 10, 15, 0, 2, 11, 1, 1, 1}
{3, 6, 10, 14, 0, 11, 2, 2, 1, 1}
{3, 6, 10, 14, 0, 11, 2, 1, 2, 1}
{3, 6, 10, 14, 0, 2, 11, 2, 1, 1}
{3, 6, 10, 14, 0, 2, 11, 1, 2, 1}
{3, 6, 10, 10, 0, 14, 2, 2, 2, 1}
{3, 6, 10, 10, 0, 2, 14, 2, 2, 1}
{3, 6, 10, 4, 0, 11, 7, 6, 2, 1}
{3, 6, 10, 4, 0, 11, 7, 2, 6, 1}
{3, 6, 10, 4, 0, 7, 11, 6, 2, 1}
{3, 6, 10, 4, 0, 7, 11, 2, 6, 1}
{3, 6, 9, 15, 0, 5, 3, 7, 1, 1}
{3, 6, 9, 15, 0, 5, 3, 1, 7, 1}
{3, 6, 9, 15, 0, 3, 5, 7, 1, 1}
{3, 6, 9, 15, 0, 3, 5, 1, 7, 1}
{3, 6, 9, 9, 0, 14, 2, 3, 3, 1}
{3, 6, 9, 9, 0, 11, 2, 6, 3, 1}
{3, 6, 9, 9, 0, 11, 2, 3, 6, 1}
{3, 6, 9, 9, 0, 2, 14, 3, 3, 1}
{3, 6, 9, 9, 0, 2, 11, 6, 3, 1}
{3, 6, 9, 9, 0, 2, 11, 3, 6, 1}
{3, 6, 9, 6, 0, 12, 5, 7, 1, 1}
{3, 6, 9, 6, 0, 12, 5, 1, 7, 1}
{3, 6, 9, 6, 0, 5, 12, 7, 1, 1}
{3, 6, 9, 6, 0, 5, 12, 1, 7, 1}
{3, 6, 9, 3, 0, 11, 5, 9, 3, 1}
{3, 6, 9, 3, 0, 11, 5, 3, 9, 1}
{3, 6, 9, 3, 0, 5, 11, 9, 3, 1}
{3, 6, 9, 3, 0, 5, 11, 3, 9, 1}
{3, 6, 8, 12, 0, 10, 2, 4, 4, 1}
{3, 6, 8, 12, 0, 2, 10, 4, 4, 1}
{3, 6, 8, 8, 0, 15, 3, 5, 1, 1}
{3, 6, 8, 8, 0, 15, 3, 1, 5, 1}
{3, 6, 8, 8, 0, 14, 2, 4, 4, 1}
{3, 6, 8, 8, 0, 3, 15, 5, 1, 1}
{3, 6, 8, 8, 0, 3, 15, 1, 5, 1}
{3, 6, 8, 8, 0, 2, 14, 4, 4, 1}
{3, 6, 8, 7, 0, 17, 5, 2, 1, 1}
{3, 6, 8, 7, 0, 17, 5, 1, 2, 1}
{3, 6, 8, 7, 0, 5, 17, 2, 1, 1}
{3, 6, 8, 7, 0, 5, 17, 1, 2, 1}
{3, 6, 7, 11, 0, 11, 2, 5, 4, 1}
{3, 6, 7, 11, 0, 11, 2, 4, 5, 1}
{3, 6, 7, 11, 0, 2, 11, 5, 4, 1}
{3, 6, 7, 11, 0, 2, 11, 4, 5, 1}
{3, 6, 7, 8, 0, 17, 5, 2, 1, 1}
{3, 6, 7, 8, 0, 17, 5, 1, 2, 1}
{3, 6, 7, 8, 0, 5, 17, 2, 1, 1}
{3, 6, 7, 8, 0, 5, 17, 1, 2, 1}
{3, 6, 7, 7, 0, 14, 2, 5, 5, 1}
{3, 6, 7, 7, 0, 2, 14, 5, 5, 1}
{3, 6, 7, 1, 0, 12, 5, 9, 6, 1}
{3, 6, 7, 1, 0, 12, 5, 6, 9, 1}
{3, 6, 7, 1, 0, 5, 12, 9, 6, 1}
{3, 6, 7, 1, 0, 5, 12, 6, 9, 1}
{3, 6, 7, 1, 0, 5, 3, 15, 9, 1}
{3, 6, 7, 1, 0, 5, 3, 9, 15, 1}
{3, 6, 7, 1, 0, 3, 5, 15, 9, 1}
{3, 6, 7, 1, 0, 3, 5, 9, 15, 1}
{3, 6, 6, 18, 0, 11, 3, 1, 1, 1}
{3, 6, 6, 18, 0, 8, 3, 4, 1, 1}
{3, 6, 6, 18, 0, 8, 3, 1, 4, 1}
{3, 6, 6, 18, 0, 5, 3, 4, 4, 1}
{3, 6, 6, 18, 0, 3, 11, 1, 1, 1}
{3, 6, 6, 18, 0, 3, 8, 4, 1, 1}
{3, 6, 6, 18, 0, 3, 8, 1, 4, 1}
{3, 6, 6, 18, 0, 3, 5, 4, 4, 1}
{3, 6, 6, 9, 0, 12, 5, 7, 1, 1}
{3, 6, 6, 9, 0, 12, 5, 1, 7, 1}
{3, 6, 6, 9, 0, 5, 12, 7, 1, 1}
{3, 6, 6, 9, 0, 5, 12, 1, 7, 1}
{3, 6, 6, 6, 0, 14, 2, 6, 6, 1}
{3, 6, 6, 6, 0, 3, 7, 15, 3, 1}
{3, 6, 6, 6, 0, 3, 7, 3, 15, 1}
{3, 6, 6, 6, 0, 2, 14, 6, 6, 1}
{3, 6, 6, 4, 0, 17, 5, 4, 4, 1}
{3, 6, 6, 4, 0, 5, 17, 4, 4, 1}
{3, 6, 6, 3, 0, 11, 2, 9, 9, 1}
{3, 6, 6, 3, 0, 2, 11, 9, 9, 1}
{3, 6, 6, 2, 0, 11, 7, 10, 4, 1}
{3, 6, 6, 2, 0, 11, 7, 4, 10, 1}
{3, 6, 6, 2, 0, 11, 5, 12, 4, 1}
{3, 6, 6, 2, 0, 11, 5, 4, 12, 1}
{3, 6, 6, 2, 0, 7, 11, 10, 4, 1}
{3, 6, 6, 2, 0, 7, 11, 4, 10, 1}
{3, 6, 6, 2, 0, 7, 5, 16, 4, 1}
{3, 6, 6, 2, 0, 7, 5, 4, 16, 1}
{3, 6, 6, 2, 0, 5, 11, 12, 4, 1}
{3, 6, 6, 2, 0, 5, 11, 4, 12, 1}
{3, 6, 6, 2, 0, 5, 7, 16, 4, 1}
{3, 6, 6, 2, 0, 5, 7, 4, 16, 1}
{3, 6, 5, 19, 0, 8, 5, 2, 1, 1}
{3, 6, 5, 19, 0, 8, 5, 1, 2, 1}
{3, 6, 5, 19, 0, 5, 8, 2, 1, 1}
{3, 6, 5, 19, 0, 5, 8, 1, 2, 1}
{3, 6, 5, 15, 0, 11, 5, 3, 1, 1}
{3, 6, 5, 15, 0, 11, 5, 1, 3, 1}
{3, 6, 5, 15, 0, 5, 11, 3, 1, 1}
{3, 6, 5, 15, 0, 5, 11, 1, 3, 1}
{3, 6, 5, 5, 0, 14, 2, 7, 7, 1}
{3, 6, 5, 5, 0, 2, 14, 7, 7, 1}
{3, 6, 5, 4, 0, 11, 2, 11, 7, 1}
{3, 6, 5, 4, 0, 11, 2, 7, 11, 1}
{3, 6, 5, 4, 0, 2, 11, 11, 7, 1}
{3, 6, 5, 4, 0, 2, 11, 7, 11, 1}
{3, 6, 5, 1, 0, 15, 3, 8, 8, 1}
{3, 6, 5, 1, 0, 3, 15, 8, 8, 1}
{3, 6, 4, 16, 0, 7, 5, 6, 2, 1}
{3, 6, 4, 16, 0, 7, 5, 2, 6, 1}
{3, 6, 4, 16, 0, 5, 7, 6, 2, 1}
{3, 6, 4, 16, 0, 5, 7, 2, 6, 1}
{3, 6, 4, 12, 0, 11, 5, 6, 2, 1}
{3, 6, 4, 12, 0, 11, 5, 2, 6, 1}
{3, 6, 4, 12, 0, 5, 11, 6, 2, 1}
{3, 6, 4, 12, 0, 5, 11, 2, 6, 1}
{3, 6, 4, 10, 0, 11, 7, 6, 2, 1}
{3, 6, 4, 10, 0, 11, 7, 2, 6, 1}
{3, 6, 4, 10, 0, 7, 11, 6, 2, 1}
{3, 6, 4, 10, 0, 7, 11, 2, 6, 1}
{3, 6, 4, 6, 0, 17, 5, 4, 4, 1}
{3, 6, 4, 6, 0, 5, 17, 4, 4, 1}
{3, 6, 4, 5, 0, 11, 2, 11, 7, 1}
{3, 6, 4, 5, 0, 11, 2, 7, 11, 1}
{3, 6, 4, 5, 0, 2, 11, 11, 7, 1}
{3, 6, 4, 5, 0, 2, 11, 7, 11, 1}
{3, 6, 4, 4, 0, 17, 5, 6, 4, 1}
{3, 6, 4, 4, 0, 17, 5, 4, 6, 1}
{3, 6, 4, 4, 0, 14, 2, 8, 8, 1}
{3, 6, 4, 4, 0, 11, 7, 11, 3, 1}
{3, 6, 4, 4, 0, 11, 7, 3, 11, 1}
{3, 6, 4, 4, 0, 10, 2, 12, 8, 1}
{3, 6, 4, 4, 0, 10, 2, 8, 12, 1}
{3, 6, 4, 4, 0, 7, 11, 11, 3, 1}
{3, 6, 4, 4, 0, 7, 11, 3, 11, 1}
{3, 6, 4, 4, 0, 5, 17, 6, 4, 1}
{3, 6, 4, 4, 0, 5, 17, 4, 6, 1}
{3, 6, 4, 4, 0, 5, 3, 18, 6, 1}
{3, 6, 4, 4, 0, 5, 3, 6, 18, 1}
{3, 6, 4, 4, 0, 3, 5, 18, 6, 1}
{3, 6, 4, 4, 0, 3, 5, 6, 18, 1}
{3, 6, 4, 4, 0, 2, 14, 8, 8, 1}
{3, 6, 4, 4, 0, 2, 10, 12, 8, 1}
{3, 6, 4, 4, 0, 2, 10, 8, 12, 1}
{3, 6, 4, 1, 0, 8, 3, 18, 6, 1}
{3, 6, 4, 1, 0, 8, 3, 6, 18, 1}
{3, 6, 4, 1, 0, 3, 8, 18, 6, 1}
{3, 6, 4, 1, 0, 3, 8, 6, 18, 1}
{3, 6, 3, 15, 0, 7, 3, 6, 6, 1}
{3, 6, 3, 11, 0, 11, 7, 4, 4, 1}
{3, 6, 3, 11, 0, 7, 11, 4, 4, 1}
{3, 6, 3, 9, 0, 11, 5, 9, 3, 1}
{3, 6, 3, 9, 0, 11, 5, 3, 9, 1}
{3, 6, 3, 9, 0, 5, 11, 9, 3, 1}
{3, 6, 3, 9, 0, 5, 11, 3, 9, 1}
{3, 6, 3, 6, 0, 11, 2, 9, 9, 1}
{3, 6, 3, 6, 0, 2, 11, 9, 9, 1}
{3, 6, 3, 3, 0, 14, 2, 9, 9, 1}
{3, 6, 3, 3, 0, 2, 14, 9, 9, 1}
{3, 6, 3, 1, 0, 11, 5, 15, 5, 1}
{3, 6, 3, 1, 0, 11, 5, 5, 15, 1}
{3, 6, 3, 1, 0, 5, 11, 15, 5, 1}
{3, 6, 3, 1, 0, 5, 11, 5, 15, 1}
{3, 6, 2, 6, 0, 11, 7, 10, 4, 1}
{3, 6, 2, 6, 0, 11, 7, 4, 10, 1}
{3, 6, 2, 6, 0, 11, 5, 12, 4, 1}
{3, 6, 2, 6, 0, 11, 5, 4, 12, 1}
{3, 6, 2, 6, 0, 7, 11, 10, 4, 1}
{3, 6, 2, 6, 0, 7, 11, 4, 10, 1}
{3, 6, 2, 6, 0, 7, 5, 16, 4, 1}
{3, 6, 2, 6, 0, 7, 5, 4, 16, 1}
{3, 6, 2, 6, 0, 5, 11, 12, 4, 1}
{3, 6, 2, 6, 0, 5, 11, 4, 12, 1}
{3, 6, 2, 6, 0, 5, 7, 16, 4, 1}
{3, 6, 2, 6, 0, 5, 7, 4, 16, 1}
{3, 6, 2, 2, 0, 14, 2, 10, 10, 1}
{3, 6, 2, 2, 0, 2, 14, 10, 10, 1}
{3, 6, 2, 1, 0, 17, 5, 8, 7, 1}
{3, 6, 2, 1, 0, 17, 5, 7, 8, 1}
{3, 6, 2, 1, 0, 11, 2, 14, 10, 1}
{3, 6, 2, 1, 0, 11, 2, 10, 14, 1}
{3, 6, 2, 1, 0, 8, 5, 19, 5, 1}
{3, 6, 2, 1, 0, 8, 5, 5, 19, 1}
{3, 6, 2, 1, 0, 5, 17, 8, 7, 1}
{3, 6, 2, 1, 0, 5, 17, 7, 8, 1}
{3, 6, 2, 1, 0, 5, 8, 19, 5, 1}
{3, 6, 2, 1, 0, 5, 8, 5, 19, 1}
{3, 6, 2, 1, 0, 2, 11, 14, 10, 1}
{3, 6, 2, 1, 0, 2, 11, 10, 14, 1}
{3, 6, 1, 7, 0, 12, 5, 9, 6, 1}
{3, 6, 1, 7, 0, 12, 5, 6, 9, 1}
{3, 6, 1, 7, 0, 5, 12, 9, 6, 1}
{3, 6, 1, 7, 0, 5, 12, 6, 9, 1}
{3, 6, 1, 7, 0, 5, 3, 15, 9, 1}
{3, 6, 1, 7, 0, 5, 3, 9, 15, 1}
{3, 6, 1, 7, 0, 3, 5, 15, 9, 1}
{3, 6, 1, 7, 0, 3, 5, 9, 15, 1}
{3, 6, 1, 5, 0, 15, 3, 8, 8, 1}
{3, 6, 1, 5, 0, 3, 15, 8, 8, 1}
{3, 6, 1, 4, 0, 8, 3, 18, 6, 1}
{3, 6, 1, 4, 0, 8, 3, 6, 18, 1}
{3, 6, 1, 4, 0, 3, 8, 18, 6, 1}
{3, 6, 1, 4, 0, 3, 8, 6, 18, 1}
{3, 6, 1, 3, 0, 11, 5, 15, 5, 1}
{3, 6, 1, 3, 0, 11, 5, 5, 15, 1}
{3, 6, 1, 3, 0, 5, 11, 15, 5, 1}
{3, 6, 1, 3, 0, 5, 11, 5, 15, 1}
{3, 6, 1, 2, 0, 17, 5, 8, 7, 1}
{3, 6, 1, 2, 0, 17, 5, 7, 8, 1}
{3, 6, 1, 2, 0, 11, 2, 14, 10, 1}
{3, 6, 1, 2, 0, 11, 2, 10, 14, 1}
{3, 6, 1, 2, 0, 8, 5, 19, 5, 1}
{3, 6, 1, 2, 0, 8, 5, 5, 19, 1}
{3, 6, 1, 2, 0, 5, 17, 8, 7, 1}
{3, 6, 1, 2, 0, 5, 17, 7, 8, 1}
{3, 6, 1, 2, 0, 5, 8, 19, 5, 1}
{3, 6, 1, 2, 0, 5, 8, 5, 19, 1}
{3, 6, 1, 2, 0, 2, 11, 14, 10, 1}
{3, 6, 1, 2, 0, 2, 11, 10, 14, 1}
{3, 6, 1, 1, 0, 14, 2, 11, 11, 1}
{3, 6, 1, 1, 0, 11, 3, 18, 6, 1}
{3, 6, 1, 1, 0, 11, 3, 6, 18, 1}
{3, 6, 1, 1, 0, 11, 2, 15, 10, 1}
{3, 6, 1, 1, 0, 11, 2, 10, 15, 1}
{3, 6, 1, 1, 0, 3, 11, 18, 6, 1}
{3, 6, 1, 1, 0, 3, 11, 6, 18, 1}
{3, 6, 1, 1, 0, 2, 14, 11, 11, 1}
{3, 6, 1, 1, 0, 2, 11, 15, 10, 1}
{3, 6, 1, 1, 0, 2, 11, 10, 15, 1}
{3, 5, 23, 2, 0, 1, 2, 12, 1, 1}
{3, 5, 23, 2, 0, 1, 2, 1, 12, 1}
{3, 5, 18, 6, 0, 6, 3, 6, 2, 1}
{3, 5, 18, 6, 0, 6, 3, 2, 6, 1}
{3, 5, 12, 1, 0, 2, 1, 23, 2, 1}
{3, 5, 12, 1, 0, 2, 1, 2, 23, 1}
{3, 5, 8, 6, 0, 3, 18, 3, 3, 1}
{3, 5, 6, 18, 0, 6, 3, 6, 2, 1}
{3, 5, 6, 18, 0, 6, 3, 2, 6, 1}
{3, 5, 6, 8, 0, 3, 18, 3, 3, 1}
{3, 5, 6, 2, 0, 3, 6, 18, 6, 1}
{3, 5, 6, 2, 0, 3, 6, 6, 18, 1}
{3, 5, 3, 3, 0, 18, 3, 8, 6, 1}
{3, 5, 3, 3, 0, 18, 3, 6, 8, 1}
{3, 5, 2, 23, 0, 1, 2, 12, 1, 1}
{3, 5, 2, 23, 0, 1, 2, 1, 12, 1}
{3, 5, 2, 6, 0, 3, 6, 18, 6, 1}
{3, 5, 2, 6, 0, 3, 6, 6, 18, 1}
{3, 5, 1, 12, 0, 2, 1, 23, 2, 1}
{3, 5, 1, 12, 0, 2, 1, 2, 23, 1}
{3, 4, 15, 6, 0, 11, 5, 4, 1, 1}
{3, 4, 15, 6, 0, 11, 5, 1, 4, 1}
{3, 4, 14, 11, 0, 10, 2, 3, 2, 1}
{3, 4, 14, 11, 0, 10, 2, 2, 3, 1}
{3, 4, 14, 10, 0, 3, 9, 5, 1, 1}
{3, 4, 14, 10, 0, 3, 9, 1, 5, 1}
{3, 4, 14, 2, 0, 3, 9, 7, 7, 1}
{3, 4, 13, 9, 0, 5, 3, 10, 2, 1}
{3, 4, 13, 9, 0, 5, 3, 2, 10, 1}
{3, 4, 13, 5, 0, 9, 3, 10, 2, 1}
{3, 4, 13, 5, 0, 9, 3, 2, 10, 1}
{3, 4, 11, 14, 0, 10, 2, 3, 2, 1}
{3, 4, 11, 14, 0, 10, 2, 2, 3, 1}
{3, 4, 11, 5, 0, 16, 5, 3, 2, 1}
{3, 4, 11, 5, 0, 16, 5, 2, 3, 1}
{3, 4, 10, 14, 0, 3, 9, 5, 1, 1}
{3, 4, 10, 14, 0, 3, 9, 1, 5, 1}
{3, 4, 10, 2, 0, 3, 9, 13, 5, 1}
{3, 4, 10, 2, 0, 3, 9, 5, 13, 1}
{3, 4, 10, 2, 0, 3, 5, 13, 9, 1}
{3, 4, 10, 2, 0, 3, 5, 9, 13, 1}
{3, 4, 9, 13, 0, 5, 3, 10, 2, 1}
{3, 4, 9, 13, 0, 5, 3, 2, 10, 1}
{3, 4, 7, 7, 0, 9, 3, 14, 2, 1}
{3, 4, 7, 7, 0, 9, 3, 2, 14, 1}
{3, 4, 6, 15, 0, 11, 5, 4, 1, 1}
{3, 4, 6, 15, 0, 11, 5, 1, 4, 1}
{3, 4, 5, 13, 0, 9, 3, 10, 2, 1}
{3, 4, 5, 13, 0, 9, 3, 2, 10, 1}
{3, 4, 5, 11, 0, 16, 5, 3, 2, 1}
{3, 4, 5, 11, 0, 16, 5, 2, 3, 1}
{3, 4, 5, 1, 0, 9, 3, 14, 10, 1}
{3, 4, 5, 1, 0, 9, 3, 10, 14, 1}
{3, 4, 4, 1, 0, 5, 11, 15, 6, 1}
{3, 4, 4, 1, 0, 5, 11, 6, 15, 1}
{3, 4, 3, 2, 0, 5, 16, 11, 5, 1}
{3, 4, 3, 2, 0, 5, 16, 5, 11, 1}
{3, 4, 3, 2, 0, 2, 10, 14, 11, 1}
{3, 4, 3, 2, 0, 2, 10, 11, 14, 1}
{3, 4, 2, 14, 0, 3, 9, 7, 7, 1}
{3, 4, 2, 10, 0, 3, 9, 13, 5, 1}
{3, 4, 2, 10, 0, 3, 9, 5, 13, 1}
{3, 4, 2, 10, 0, 3, 5, 13, 9, 1}
{3, 4, 2, 10, 0, 3, 5, 9, 13, 1}
{3, 4, 2, 3, 0, 5, 16, 11, 5, 1}
{3, 4, 2, 3, 0, 5, 16, 5, 11, 1}
{3, 4, 2, 3, 0, 2, 10, 14, 11, 1}
{3, 4, 2, 3, 0, 2, 10, 11, 14, 1}
{3, 4, 1, 5, 0, 9, 3, 14, 10, 1}
{3, 4, 1, 5, 0, 9, 3, 10, 14, 1}
{3, 4, 1, 4, 0, 5, 11, 15, 6, 1}
{3, 4, 1, 4, 0, 5, 11, 6, 15, 1}
{3, 3, 20, 5, 0, 6, 7, 3, 2, 1}
{3, 3, 20, 5, 0, 6, 7, 2, 3, 1}
{3, 3, 20, 5, 0, 6, 4, 6, 2, 1}
{3, 3, 20, 5, 0, 6, 4, 2, 6, 1}
{3, 3, 20, 5, 0, 6, 3, 6, 3, 1}
{3, 3, 20, 5, 0, 6, 3, 3, 6, 1}
{3, 3, 20, 4, 0, 7, 6, 3, 3, 1}
{3, 3, 19, 8, 0, 8, 5, 2, 1, 1}
{3, 3, 19, 8, 0, 8, 5, 1, 2, 1}
{3, 3, 18, 9, 0, 9, 3, 3, 1, 1}
{3, 3, 18, 9, 0, 9, 3, 1, 3, 1}
{3, 3, 17, 14, 0, 5, 4, 2, 1, 1}
{3, 3, 17, 14, 0, 5, 4, 1, 2, 1}
{3, 3, 16, 8, 0, 5, 8, 5, 1, 1}
{3, 3, 16, 8, 0, 5, 8, 1, 5, 1}
{3, 3, 15, 10, 0, 11, 5, 1, 1, 1}
{3, 3, 15, 3, 0, 8, 3, 10, 4, 1}
{3, 3, 15, 3, 0, 8, 3, 4, 10, 1}
{3, 3, 14, 17, 0, 5, 4, 2, 1, 1}
{3, 3, 14, 17, 0, 5, 4, 1, 2, 1}
{3, 3, 14, 10, 0, 5, 11, 2, 1, 1}
{3, 3, 14, 10, 0, 5, 11, 1, 2, 1}
{3, 3, 14, 10, 0, 4, 3, 6, 6, 1}
{3, 3, 12, 6, 0, 3, 16, 3, 3, 1}
{3, 3, 12, 4, 0, 15, 6, 3, 3, 1}
{3, 3, 10, 15, 0, 11, 5, 1, 1, 1}
{3, 3, 10, 14, 0, 5, 11, 2, 1, 1}
{3, 3, 10, 14, 0, 5, 11, 1, 2, 1}
{3, 3, 10, 14, 0, 4, 3, 6, 6, 1}
{3, 3, 10, 5, 0, 16, 2, 5, 5, 1}
{3, 3, 10, 5, 0, 11, 2, 10, 5, 1}
{3, 3, 10, 5, 0, 11, 2, 5, 10, 1}
{3, 3, 10, 5, 0, 2, 11, 10, 5, 1}
{3, 3, 10, 5, 0, 2, 11, 5, 10, 1}
{3, 3, 10, 4, 0, 3, 8, 15, 3, 1}
{3, 3, 10, 4, 0, 3, 8, 3, 15, 1}
{3, 3, 9, 18, 0, 9, 3, 3, 1, 1}
{3, 3, 9, 18, 0, 9, 3, 1, 3, 1}
{3, 3, 8, 19, 0, 8, 5, 2, 1, 1}
{3, 3, 8, 19, 0, 8, 5, 1, 2, 1}
{3, 3, 8, 16, 0, 5, 8, 5, 1, 1}
{3, 3, 8, 16, 0, 5, 8, 1, 5, 1}
{3, 3, 8, 8, 0, 3, 16, 6, 2, 1}
{3, 3, 8, 8, 0, 3, 16, 2, 6, 1}
{3, 3, 8, 8, 0, 2, 13, 8, 4, 1}
{3, 3, 8, 8, 0, 2, 13, 4, 8, 1}
{3, 3, 8, 5, 0, 6, 16, 6, 2, 1}
{3, 3, 8, 5, 0, 6, 16, 2, 6, 1}
{3, 3, 8, 4, 0, 13, 2, 8, 8, 1}
{3, 3, 6, 12, 0, 3, 16, 3, 3, 1}
{3, 3, 6, 6, 0, 7, 16, 6, 2, 1}
{3, 3, 6, 6, 0, 7, 16, 2, 6, 1}
{3, 3, 6, 6, 0, 3, 4, 14, 10, 1}
{3, 3, 6, 6, 0, 3, 4, 10, 14, 1}
{3, 3, 6, 3, 0, 3, 6, 20, 5, 1}
{3, 3, 6, 3, 0, 3, 6, 5, 20, 1}
{3, 3, 6, 2, 0, 16, 7, 6, 6, 1}
{3, 3, 6, 2, 0, 16, 6, 8, 5, 1}
{3, 3, 6, 2, 0, 16, 6, 5, 8, 1}
{3, 3, 6, 2, 0, 16, 3, 8, 8, 1}
{3, 3, 6, 2, 0, 4, 6, 20, 5, 1}
{3, 3, 6, 2, 0, 4, 6, 5, 20, 1}
{3, 3, 5, 20, 0, 6, 7, 3, 2, 1}
{3, 3, 5, 20, 0, 6, 7, 2, 3, 1}
{3, 3, 5, 20, 0, 6, 4, 6, 2, 1}
{3, 3, 5, 20, 0, 6, 4, 2, 6, 1}
{3, 3, 5, 20, 0, 6, 3, 6, 3, 1}
{3, 3, 5, 20, 0, 6, 3, 3, 6, 1}
{3, 3, 5, 10, 0, 16, 2, 5, 5, 1}
{3, 3, 5, 10, 0, 11, 2, 10, 5, 1}
{3, 3, 5, 10, 0, 11, 2, 5, 10, 1}
{3, 3, 5, 10, 0, 2, 11, 10, 5, 1}
{3, 3, 5, 10, 0, 2, 11, 5, 10, 1}
{3, 3, 5, 8, 0, 6, 16, 6, 2, 1}
{3, 3, 5, 8, 0, 6, 16, 2, 6, 1}
{3, 3, 5, 5, 0, 2, 16, 10, 5, 1}
{3, 3, 5, 5, 0, 2, 16, 5, 10, 1}
{3, 3, 5, 1, 0, 8, 5, 16, 8, 1}
{3, 3, 5, 1, 0, 8, 5, 8, 16, 1}
{3, 3, 4, 20, 0, 7, 6, 3, 3, 1}
{3, 3, 4, 12, 0, 15, 6, 3, 3, 1}
{3, 3, 4, 10, 0, 3, 8, 15, 3, 1}
{3, 3, 4, 10, 0, 3, 8, 3, 15, 1}
{3, 3, 4, 8, 0, 13, 2, 8, 8, 1}
{3, 3, 3, 15, 0, 8, 3, 10, 4, 1}
{3, 3, 3, 15, 0, 8, 3, 4, 10, 1}
{3, 3, 3, 6, 0, 3, 6, 20, 5, 1}
{3, 3, 3, 6, 0, 3, 6, 5, 20, 1}
{3, 3, 3, 3, 0, 16, 3, 12, 6, 1}
{3, 3, 3, 3, 0, 16, 3, 6, 12, 1}
{3, 3, 3, 3, 0, 6, 15, 12, 4, 1}
{3, 3, 3, 3, 0, 6, 15, 4, 12, 1}
{3, 3, 3, 3, 0, 6, 7, 20, 4, 1}
{3, 3, 3, 3, 0, 6, 7, 4, 20, 1}
{3, 3, 3, 2, 0, 7, 6, 20, 5, 1}
{3, 3, 3, 2, 0, 7, 6, 5, 20, 1}
{3, 3, 3, 1, 0, 3, 9, 18, 9, 1}
{3, 3, 3, 1, 0, 3, 9, 9, 18, 1}
{3, 3, 2, 6, 0, 16, 7, 6, 6, 1}
{3, 3, 2, 6, 0, 16, 6, 8, 5, 1}
{3, 3, 2, 6, 0, 16, 6, 5, 8, 1}
{3, 3, 2, 6, 0, 16, 3, 8, 8, 1}
{3, 3, 2, 6, 0, 4, 6, 20, 5, 1}
{3, 3, 2, 6, 0, 4, 6, 5, 20, 1}
{3, 3, 2, 3, 0, 7, 6, 20, 5, 1}
{3, 3, 2, 3, 0, 7, 6, 5, 20, 1}
{3, 3, 2, 1, 0, 11, 5, 14, 10, 1}
{3, 3, 2, 1, 0, 11, 5, 10, 14, 1}
{3, 3, 2, 1, 0, 5, 8, 19, 8, 1}
{3, 3, 2, 1, 0, 5, 8, 8, 19, 1}
{3, 3, 2, 1, 0, 4, 5, 17, 14, 1}
{3, 3, 2, 1, 0, 4, 5, 14, 17, 1}
{3, 3, 1, 5, 0, 8, 5, 16, 8, 1}
{3, 3, 1, 5, 0, 8, 5, 8, 16, 1}
{3, 3, 1, 3, 0, 3, 9, 18, 9, 1}
{3, 3, 1, 3, 0, 3, 9, 9, 18, 1}
{3, 3, 1, 2, 0, 11, 5, 14, 10, 1}
{3, 3, 1, 2, 0, 11, 5, 10, 14, 1}
{3, 3, 1, 2, 0, 5, 8, 19, 8, 1}
{3, 3, 1, 2, 0, 5, 8, 8, 19, 1}
{3, 3, 1, 2, 0, 4, 5, 17, 14, 1}
{3, 3, 1, 2, 0, 4, 5, 14, 17, 1}
{3, 3, 1, 1, 0, 5, 11, 15, 10, 1}
{3, 3, 1, 1, 0, 5, 11, 10, 15, 1}
{3, 2, 6, 6, 0, 9, 15, 6, 2, 1}
{3, 2, 6, 6, 0, 9, 15, 2, 6, 1}
{3, 2, 6, 2, 0, 15, 9, 6, 6, 1}
{3, 2, 2, 6, 0, 15, 9, 6, 6, 1}
{3, 1, 17, 2, 0, 4, 8, 9, 5, 1}
{3, 1, 17, 2, 0, 4, 8, 5, 9, 1}
{3, 1, 16, 8, 0, 11, 6, 2, 2, 1}
{3, 1, 14, 10, 0, 14, 3, 2, 2, 1}
{3, 1, 10, 14, 0, 14, 3, 2, 2, 1}
{3, 1, 10, 9, 0, 3, 12, 9, 2, 1}
{3, 1, 10, 9, 0, 3, 12, 2, 9, 1}
{3, 1, 9, 10, 0, 3, 12, 9, 2, 1}
{3, 1, 9, 10, 0, 3, 12, 2, 9, 1}
{3, 1, 9, 5, 0, 8, 4, 17, 2, 1}
{3, 1, 9, 5, 0, 8, 4, 2, 17, 1}
{3, 1, 9, 2, 0, 12, 3, 10, 9, 1}
{3, 1, 9, 2, 0, 12, 3, 9, 10, 1}
{3, 1, 8, 16, 0, 11, 6, 2, 2, 1}
{3, 1, 8, 6, 0, 15, 10, 4, 2, 1}
{3, 1, 8, 6, 0, 15, 10, 2, 4, 1}
{3, 1, 6, 8, 0, 15, 10, 4, 2, 1}
{3, 1, 6, 8, 0, 15, 10, 2, 4, 1}
{3, 1, 5, 9, 0, 8, 4, 17, 2, 1}
{3, 1, 5, 9, 0, 8, 4, 2, 17, 1}
{3, 1, 4, 2, 0, 10, 15, 8, 6, 1}
{3, 1, 4, 2, 0, 10, 15, 6, 8, 1}
{3, 1, 2, 17, 0, 4, 8, 9, 5, 1}
{3, 1, 2, 17, 0, 4, 8, 5, 9, 1}
{3, 1, 2, 9, 0, 12, 3, 10, 9, 1}
{3, 1, 2, 9, 0, 12, 3, 9, 10, 1}
{3, 1, 2, 4, 0, 10, 15, 8, 6, 1}
{3, 1, 2, 4, 0, 10, 15, 6, 8, 1}
{3, 1, 2, 2, 0, 6, 11, 16, 8, 1}
{3, 1, 2, 2, 0, 6, 11, 8, 16, 1}
{3, 1, 2, 2, 0, 3, 14, 14, 10, 1}
{3, 1, 2, 2, 0, 3, 14, 10, 14, 1}
{2, 32, 5, 3, 0, 4, 1, 1, 1, 1}
{2, 32, 3, 5, 0, 4, 1, 1, 1, 1}
{2, 32, 1, 1, 0, 1, 4, 5, 3, 1}
{2, 32, 1, 1, 0, 1, 4, 3, 5, 1}
{2, 26, 13, 3, 0, 1, 1, 2, 1, 1}
{2, 26, 13, 3, 0, 1, 1, 1, 2, 1}
{2, 26, 8, 3, 0, 1, 1, 7, 1, 1}
{2, 26, 8, 3, 0, 1, 1, 1, 7, 1}
{2, 26, 7, 1, 0, 1, 1, 8, 3, 1}
{2, 26, 7, 1, 0, 1, 1, 3, 8, 1}
{2, 26, 3, 13, 0, 1, 1, 2, 1, 1}
{2, 26, 3, 13, 0, 1, 1, 1, 2, 1}
{2, 26, 3, 8, 0, 1, 1, 7, 1, 1}
{2, 26, 3, 8, 0, 1, 1, 1, 7, 1}
{2, 26, 2, 1, 0, 1, 1, 13, 3, 1}
{2, 26, 2, 1, 0, 1, 1, 3, 13, 1}
{2, 26, 1, 7, 0, 1, 1, 8, 3, 1}
{2, 26, 1, 7, 0, 1, 1, 3, 8, 1}
{2, 26, 1, 2, 0, 1, 1, 13, 3, 1}
{2, 26, 1, 2, 0, 1, 1, 3, 13, 1}
{2, 24, 11, 1, 0, 8, 1, 1, 1, 1}
{2, 24, 1, 11, 0, 8, 1, 1, 1, 1}
{2, 24, 1, 1, 0, 1, 8, 11, 1, 1}
{2, 24, 1, 1, 0, 1, 8, 1, 11, 1}
{2, 16, 7, 7, 0, 5, 6, 3, 3, 1}
{2, 16, 6, 6, 0, 5, 6, 5, 3, 1}
{2, 16, 6, 6, 0, 5, 6, 3, 5, 1}
{2, 16, 5, 3, 0, 6, 5, 6, 6, 1}
{2, 16, 3, 5, 0, 6, 5, 6, 6, 1}
{2, 16, 3, 3, 0, 6, 5, 7, 7, 1}
{2, 14, 9, 8, 0, 7, 3, 3, 3, 1}
{2, 14, 9, 5, 0, 7, 6, 3, 3, 1}
{2, 14, 8, 9, 0, 7, 3, 3, 3, 1}
{2, 14, 8, 8, 0, 7, 6, 2, 2, 1}
{2, 14, 8, 6, 0, 3, 6, 5, 5, 1}
{2, 14, 7, 7, 0, 5, 7, 5, 2, 1}
{2, 14, 7, 7, 0, 5, 7, 2, 5, 1}
{2, 14, 6, 8, 0, 3, 6, 5, 5, 1}
{2, 14, 5, 9, 0, 7, 6, 3, 3, 1}
{2, 14, 5, 5, 0, 6, 3, 8, 6, 1}
{2, 14, 5, 5, 0, 6, 3, 6, 8, 1}
{2, 14, 5, 2, 0, 7, 5, 7, 7, 1}
{2, 14, 3, 3, 0, 6, 7, 9, 5, 1}
{2, 14, 3, 3, 0, 6, 7, 5, 9, 1}
{2, 14, 3, 3, 0, 3, 7, 9, 8, 1}
{2, 14, 3, 3, 0, 3, 7, 8, 9, 1}
{2, 14, 2, 5, 0, 7, 5, 7, 7, 1}
{2, 14, 2, 2, 0, 6, 7, 8, 8, 1}
{2, 13, 10, 6, 0, 3, 7, 4, 4, 1}
{2, 13, 7, 7, 0, 3, 8, 6, 3, 1}
{2, 13, 7, 7, 0, 3, 8, 3, 6, 1}
{2, 13, 6, 10, 0, 3, 7, 4, 4, 1}
{2, 13, 6, 3, 0, 8, 3, 7, 7, 1}
{2, 13, 4, 4, 0, 7, 3, 10, 6, 1}
{2, 13, 4, 4, 0, 7, 3, 6, 10, 1}
{2, 13, 3, 6, 0, 8, 3, 7, 7, 1}
{2, 12, 8, 8, 0, 5, 3, 7, 4, 1}
{2, 12, 8, 8, 0, 5, 3, 4, 7, 1}
{2, 12, 7, 4, 0, 3, 5, 8, 8, 1}
{2, 12, 5, 5, 0, 5, 12, 4, 4, 1}
{2, 12, 4, 7, 0, 3, 5, 8, 8, 1}
{2, 12, 4, 4, 0, 12, 5, 5, 5, 1}
{2, 11, 12, 6, 0, 3, 7, 5, 3, 1}
{2, 11, 12, 6, 0, 3, 7, 3, 5, 1}
{2, 11, 9, 9, 0, 11, 3, 2, 2, 1}
{2, 11, 8, 8, 0, 3, 11, 3, 3, 1}
{2, 11, 8, 5, 0, 6, 11, 3, 3, 1}
{2, 11, 6, 12, 0, 3, 7, 5, 3, 1}
{2, 11, 6, 12, 0, 3, 7, 3, 5, 1}
{2, 11, 6, 6, 0, 7, 11, 3, 3, 1}
{2, 11, 5, 8, 0, 6, 11, 3, 3, 1}
{2, 11, 5, 5, 0, 11, 7, 5, 3, 1}
{2, 11, 5, 5, 0, 11, 7, 3, 5, 1}
{2, 11, 5, 3, 0, 7, 11, 5, 5, 1}
{2, 11, 5, 3, 0, 7, 3, 12, 6, 1}
{2, 11, 5, 3, 0, 7, 3, 6, 12, 1}
{2, 11, 3, 5, 0, 7, 11, 5, 5, 1}
{2, 11, 3, 5, 0, 7, 3, 12, 6, 1}
{2, 11, 3, 5, 0, 7, 3, 6, 12, 1}
{2, 11, 3, 3, 0, 11, 7, 6, 6, 1}
{2, 11, 3, 3, 0, 11, 6, 8, 5, 1}
{2, 11, 3, 3, 0, 11, 6, 5, 8, 1}
{2, 11, 3, 3, 0, 11, 3, 8, 8, 1}
{2, 11, 2, 2, 0, 3, 11, 9, 9, 1}
{2, 10, 11, 3, 0, 3, 6, 7, 7, 1}
{2, 10, 10, 10, 0, 5, 6, 5, 1, 1}
{2, 10, 10, 10, 0, 5, 6, 1, 5, 1}
{2, 10, 9, 9, 0, 5, 3, 8, 3, 1}
{2, 10, 9, 9, 0, 5, 3, 3, 8, 1}
{2, 10, 9, 9, 0, 3, 8, 6, 2, 1}
{2, 10, 9, 9, 0, 3, 8, 2, 6, 1}
{2, 10, 8, 3, 0, 3, 5, 9, 9, 1}
{2, 10, 7, 7, 0, 14, 3, 3, 3, 1}
{2, 10, 7, 7, 0, 6, 3, 11, 3, 1}
{2, 10, 7, 7, 0, 6, 3, 3, 11, 1}
{2, 10, 6, 6, 0, 9, 8, 6, 2, 1}
{2, 10, 6, 6, 0, 9, 8, 2, 6, 1}
{2, 10, 6, 6, 0, 3, 14, 4, 4, 1}
{2, 10, 6, 2, 0, 8, 9, 6, 6, 1}
{2, 10, 6, 2, 0, 8, 3, 9, 9, 1}
{2, 10, 5, 1, 0, 6, 5, 10, 10, 1}
{2, 10, 4, 4, 0, 14, 3, 6, 6, 1}
{2, 10, 3, 11, 0, 3, 6, 7, 7, 1}
{2, 10, 3, 8, 0, 3, 5, 9, 9, 1}
{2, 10, 3, 3, 0, 3, 14, 7, 7, 1}
{2, 10, 2, 6, 0, 8, 9, 6, 6, 1}
{2, 10, 2, 6, 0, 8, 3, 9, 9, 1}
{2, 10, 1, 5, 0, 6, 5, 10, 10, 1}
{2, 9, 13, 9, 0, 3, 5, 4, 4, 1}
{2, 9, 9, 13, 0, 3, 5, 4, 4, 1}
{2, 9, 4, 4, 0, 5, 3, 13, 9, 1}
{2, 9, 4, 4, 0, 5, 3, 9, 13, 1}
{2, 8, 30, 2, 0, 1, 3, 2, 1, 1}
{2, 8, 30, 2, 0, 1, 3, 1, 2, 1}
{2, 8, 18, 6, 0, 4, 5, 3, 3, 1}
{2, 8, 17, 6, 0, 7, 5, 2, 2, 1}
{2, 8, 15, 10, 0, 7, 5, 1, 1, 1}
{2, 8, 15, 7, 0, 10, 3, 2, 2, 1}
{2, 8, 14, 5, 0, 3, 7, 7, 3, 1}
{2, 8, 14, 5, 0, 3, 7, 3, 7, 1}
{2, 8, 13, 13, 0, 5, 4, 3, 1, 1}
{2, 8, 13, 13, 0, 5, 4, 1, 3, 1}
{2, 8, 12, 12, 0, 4, 7, 3, 1, 1}
{2, 8, 12, 12, 0, 4, 7, 1, 3, 1}
{2, 8, 12, 3, 0, 7, 3, 9, 5, 1}
{2, 8, 12, 3, 0, 7, 3, 5, 9, 1}
{2, 8, 10, 15, 0, 7, 5, 1, 1, 1}
{2, 8, 10, 10, 0, 5, 7, 6, 1, 1}
{2, 8, 10, 10, 0, 5, 7, 1, 6, 1}
{2, 8, 9, 5, 0, 3, 7, 12, 3, 1}
{2, 8, 9, 5, 0, 3, 7, 3, 12, 1}
{2, 8, 8, 6, 0, 4, 13, 6, 2, 1}
{2, 8, 8, 6, 0, 4, 13, 2, 6, 1}
{2, 8, 7, 15, 0, 10, 3, 2, 2, 1}
{2, 8, 7, 3, 0, 7, 3, 14, 5, 1}
{2, 8, 7, 3, 0, 7, 3, 5, 14, 1}
{2, 8, 6, 18, 0, 4, 5, 3, 3, 1}
{2, 8, 6, 17, 0, 7, 5, 2, 2, 1}
{2, 8, 6, 8, 0, 4, 13, 6, 2, 1}
{2, 8, 6, 8, 0, 4, 13, 2, 6, 1}
{2, 8, 6, 2, 0, 13, 4, 8, 6, 1}
{2, 8, 6, 2, 0, 13, 4, 6, 8, 1}
{2, 8, 6, 1, 0, 7, 5, 10, 10, 1}
{2, 8, 5, 14, 0, 3, 7, 7, 3, 1}
{2, 8, 5, 14, 0, 3, 7, 3, 7, 1}
{2, 8, 5, 9, 0, 3, 7, 12, 3, 1}
{2, 8, 5, 9, 0, 3, 7, 3, 12, 1}
{2, 8, 3, 12, 0, 7, 3, 9, 5, 1}
{2, 8, 3, 12, 0, 7, 3, 5, 9, 1}
{2, 8, 3, 7, 0, 7, 3, 14, 5, 1}
{2, 8, 3, 7, 0, 7, 3, 5, 14, 1}
{2, 8, 3, 3, 0, 5, 4, 18, 6, 1}
{2, 8, 3, 3, 0, 5, 4, 6, 18, 1}
{2, 8, 3, 1, 0, 7, 4, 12, 12, 1}
{2, 8, 3, 1, 0, 4, 5, 13, 13, 1}
{2, 8, 2, 30, 0, 1, 3, 2, 1, 1}
{2, 8, 2, 30, 0, 1, 3, 1, 2, 1}
{2, 8, 2, 6, 0, 13, 4, 8, 6, 1}
{2, 8, 2, 6, 0, 13, 4, 6, 8, 1}
{2, 8, 2, 2, 0, 5, 7, 17, 6, 1}
{2, 8, 2, 2, 0, 5, 7, 6, 17, 1}
{2, 8, 2, 2, 0, 3, 10, 15, 7, 1}
{2, 8, 2, 2, 0, 3, 10, 7, 15, 1}
{2, 8, 2, 1, 0, 3, 1, 30, 2, 1}
{2, 8, 2, 1, 0, 3, 1, 2, 30, 1}
{2, 8, 1, 6, 0, 7, 5, 10, 10, 1}
{2, 8, 1, 3, 0, 7, 4, 12, 12, 1}
{2, 8, 1, 3, 0, 4, 5, 13, 13, 1}
{2, 8, 1, 2, 0, 3, 1, 30, 2, 1}
{2, 8, 1, 2, 0, 3, 1, 2, 30, 1}
{2, 8, 1, 1, 0, 5, 7, 15, 10, 1}
{2, 8, 1, 1, 0, 5, 7, 10, 15, 1}
{2, 7, 16, 6, 0, 3, 5, 5, 5, 1}
{2, 7, 13, 13, 0, 7, 3, 3, 1, 1}
{2, 7, 13, 13, 0, 7, 3, 1, 3, 1}
{2, 7, 13, 13, 0, 5, 3, 4, 2, 1}
{2, 7, 13, 13, 0, 5, 3, 2, 4, 1}
{2, 7, 12, 12, 0, 5, 3, 6, 2, 1}
{2, 7, 12, 12, 0, 5, 3, 2, 6, 1}
{2, 7, 7, 7, 0, 15, 3, 6, 2, 1}
{2, 7, 7, 7, 0, 15, 3, 2, 6, 1}
{2, 7, 7, 7, 0, 5, 15, 4, 2, 1}
{2, 7, 7, 7, 0, 5, 15, 2, 4, 1}
{2, 7, 6, 16, 0, 3, 5, 5, 5, 1}
{2, 7, 6, 2, 0, 3, 15, 7, 7, 1}
{2, 7, 6, 2, 0, 3, 5, 12, 12, 1}
{2, 7, 5, 5, 0, 5, 3, 16, 6, 1}
{2, 7, 5, 5, 0, 5, 3, 6, 16, 1}
{2, 7, 4, 2, 0, 15, 5, 7, 7, 1}
{2, 7, 4, 2, 0, 3, 5, 13, 13, 1}
{2, 7, 3, 1, 0, 3, 7, 13, 13, 1}
{2, 7, 2, 6, 0, 3, 15, 7, 7, 1}
{2, 7, 2, 6, 0, 3, 5, 12, 12, 1}
{2, 7, 2, 4, 0, 15, 5, 7, 7, 1}
{2, 7, 2, 4, 0, 3, 5, 13, 13, 1}
{2, 7, 1, 3, 0, 3, 7, 13, 13, 1}
{2, 6, 33, 3, 0, 1, 1, 2, 1, 1}
{2, 6, 33, 3, 0, 1, 1, 1, 2, 1}
{2, 6, 27, 1, 0, 1, 1, 8, 3, 1}
{2, 6, 27, 1, 0, 1, 1, 3, 8, 1}
{2, 6, 20, 5, 0, 6, 4, 3, 3, 1}
{2, 6, 18, 6, 0, 8, 3, 4, 2, 1}
{2, 6, 18, 6, 0, 8, 3, 2, 4, 1}
{2, 6, 18, 6, 0, 5, 3, 5, 4, 1}
{2, 6, 18, 6, 0, 5, 3, 4, 5, 1}
{2, 6, 15, 10, 0, 9, 3, 3, 1, 1}
{2, 6, 15, 10, 0, 9, 3, 1, 3, 1}
{2, 6, 15, 9, 0, 3, 5, 6, 3, 1}
{2, 6, 15, 9, 0, 3, 5, 3, 6, 1}
{2, 6, 15, 3, 0, 6, 3, 7, 7, 1}
{2, 6, 13, 3, 0, 6, 11, 4, 4, 1}
{2, 6, 12, 10, 0, 9, 2, 4, 4, 1}
{2, 6, 12, 6, 0, 11, 8, 2, 2, 1}
{2, 6, 12, 4, 0, 8, 7, 8, 2, 1}
{2, 6, 12, 4, 0, 8, 7, 2, 8, 1}
{2, 6, 12, 4, 0, 3, 12, 7, 3, 1}
{2, 6, 12, 4, 0, 3, 12, 3, 7, 1}
{2, 6, 12, 2, 0, 3, 6, 9, 9, 1}
{2, 6, 11, 11, 0, 5, 6, 7, 1, 1}
{2, 6, 11, 11, 0, 5, 6, 1, 7, 1}
{2, 6, 10, 15, 0, 9, 3, 3, 1, 1}
{2, 6, 10, 15, 0, 9, 3, 1, 3, 1}
{2, 6, 10, 12, 0, 9, 2, 4, 4, 1}
{2, 6, 9, 15, 0, 3, 5, 6, 3, 1}
{2, 6, 9, 15, 0, 3, 5, 3, 6, 1}
{2, 6, 9, 9, 0, 16, 3, 2, 2, 1}
{2, 6, 9, 9, 0, 6, 3, 12, 2, 1}
{2, 6, 9, 9, 0, 6, 3, 2, 12, 1}
{2, 6, 8, 8, 0, 3, 16, 3, 3, 1}
{2, 6, 8, 5, 0, 6, 16, 3, 3, 1}
{2, 6, 8, 3, 0, 1, 1, 27, 1, 1}
{2, 6, 8, 3, 0, 1, 1, 1, 27, 1}
{2, 6, 8, 2, 0, 7, 8, 12, 4, 1}
{2, 6, 8, 2, 0, 7, 8, 4, 12, 1}
{2, 6, 7, 7, 0, 3, 6, 15, 3, 1}
{2, 6, 7, 7, 0, 3, 6, 3, 15, 1}
{2, 6, 7, 3, 0, 12, 3, 12, 4, 1}
{2, 6, 7, 3, 0, 12, 3, 4, 12, 1}
{2, 6, 7, 1, 0, 6, 5, 11, 11, 1}
{2, 6, 6, 18, 0, 8, 3, 4, 2, 1}
{2, 6, 6, 18, 0, 8, 3, 2, 4, 1}
{2, 6, 6, 18, 0, 5, 3, 5, 4, 1}
{2, 6, 6, 18, 0, 5, 3, 4, 5, 1}
{2, 6, 6, 12, 0, 11, 8, 2, 2, 1}
{2, 6, 6, 6, 0, 15, 6, 6, 2, 1}
{2, 6, 6, 6, 0, 15, 6, 2, 6, 1}
{2, 6, 6, 6, 0, 7, 16, 3, 3, 1}
{2, 6, 6, 3, 0, 5, 3, 15, 9, 1}
{2, 6, 6, 3, 0, 5, 3, 9, 15, 1}
{2, 6, 6, 2, 0, 6, 15, 6, 6, 1}
{2, 6, 5, 20, 0, 6, 4, 3, 3, 1}
{2, 6, 5, 8, 0, 6, 16, 3, 3, 1}
{2, 6, 5, 4, 0, 3, 5, 18, 6, 1}
{2, 6, 5, 4, 0, 3, 5, 6, 18, 1}
{2, 6, 4, 12, 0, 8, 7, 8, 2, 1}
{2, 6, 4, 12, 0, 8, 7, 2, 8, 1}
{2, 6, 4, 12, 0, 3, 12, 7, 3, 1}
{2, 6, 4, 12, 0, 3, 12, 3, 7, 1}
{2, 6, 4, 5, 0, 3, 5, 18, 6, 1}
{2, 6, 4, 5, 0, 3, 5, 6, 18, 1}
{2, 6, 4, 4, 0, 11, 6, 13, 3, 1}
{2, 6, 4, 4, 0, 11, 6, 3, 13, 1}
{2, 6, 4, 4, 0, 2, 9, 12, 10, 1}
{2, 6, 4, 4, 0, 2, 9, 10, 12, 1}
{2, 6, 4, 2, 0, 3, 8, 18, 6, 1}
{2, 6, 4, 2, 0, 3, 8, 6, 18, 1}
{2, 6, 3, 33, 0, 1, 1, 2, 1, 1}
{2, 6, 3, 33, 0, 1, 1, 1, 2, 1}
{2, 6, 3, 15, 0, 6, 3, 7, 7, 1}
{2, 6, 3, 13, 0, 6, 11, 4, 4, 1}
{2, 6, 3, 8, 0, 1, 1, 27, 1, 1}
{2, 6, 3, 8, 0, 1, 1, 1, 27, 1}
{2, 6, 3, 7, 0, 12, 3, 12, 4, 1}
{2, 6, 3, 7, 0, 12, 3, 4, 12, 1}
{2, 6, 3, 6, 0, 5, 3, 15, 9, 1}
{2, 6, 3, 6, 0, 5, 3, 9, 15, 1}
{2, 6, 3, 3, 0, 16, 7, 6, 6, 1}
{2, 6, 3, 3, 0, 16, 6, 8, 5, 1}
{2, 6, 3, 3, 0, 16, 6, 5, 8, 1}
{2, 6, 3, 3, 0, 16, 3, 8, 8, 1}
{2, 6, 3, 3, 0, 4, 6, 20, 5, 1}
{2, 6, 3, 3, 0, 4, 6, 5, 20, 1}
{2, 6, 3, 1, 0, 3, 9, 15, 10, 1}
{2, 6, 3, 1, 0, 3, 9, 10, 15, 1}
{2, 6, 2, 12, 0, 3, 6, 9, 9, 1}
{2, 6, 2, 8, 0, 7, 8, 12, 4, 1}
{2, 6, 2, 8, 0, 7, 8, 4, 12, 1}
{2, 6, 2, 6, 0, 6, 15, 6, 6, 1}
{2, 6, 2, 4, 0, 3, 8, 18, 6, 1}
{2, 6, 2, 4, 0, 3, 8, 6, 18, 1}
{2, 6, 2, 2, 0, 8, 11, 12, 6, 1}
{2, 6, 2, 2, 0, 8, 11, 6, 12, 1}
{2, 6, 2, 2, 0, 3, 16, 9, 9, 1}
{2, 6, 2, 1, 0, 1, 1, 33, 3, 1}
{2, 6, 2, 1, 0, 1, 1, 3, 33, 1}
{2, 6, 1, 27, 0, 1, 1, 8, 3, 1}
{2, 6, 1, 27, 0, 1, 1, 3, 8, 1}
{2, 6, 1, 7, 0, 6, 5, 11, 11, 1}
{2, 6, 1, 3, 0, 3, 9, 15, 10, 1}
{2, 6, 1, 3, 0, 3, 9, 10, 15, 1}
{2, 6, 1, 2, 0, 1, 1, 33, 3, 1}
{2, 6, 1, 2, 0, 1, 1, 3, 33, 1}
{2, 5, 18, 6, 0, 7, 7, 2, 2, 1}
{2, 5, 18, 6, 0, 7, 3, 6, 2, 1}
{2, 5, 18, 6, 0, 7, 3, 2, 6, 1}
{2, 5, 18, 4, 0, 7, 7, 3, 3, 1}
{2, 5, 15, 7, 0, 13, 3, 2, 2, 1}
{2, 5, 14, 2, 0, 3, 7, 8, 8, 1}
{2, 5, 13, 6, 0, 7, 3, 11, 2, 1}
{2, 5, 13, 6, 0, 7, 3, 2, 11, 1}
{2, 5, 12, 4, 0, 13, 7, 3, 3, 1}
{2, 5, 11, 7, 0, 3, 9, 10, 2, 1}
{2, 5, 11, 7, 0, 3, 9, 2, 10, 1}
{2, 5, 11, 2, 0, 3, 7, 13, 6, 1}
{2, 5, 11, 2, 0, 3, 7, 6, 13, 1}
{2, 5, 10, 10, 0, 11, 7, 3, 1, 1}
{2, 5, 10, 10, 0, 11, 7, 1, 3, 1}
{2, 5, 10, 2, 0, 9, 3, 11, 7, 1}
{2, 5, 10, 2, 0, 9, 3, 7, 11, 1}
{2, 5, 9, 8, 0, 16, 2, 4, 3, 1}
{2, 5, 9, 8, 0, 16, 2, 3, 4, 1}
{2, 5, 9, 5, 0, 16, 4, 6, 2, 1}
{2, 5, 9, 5, 0, 16, 4, 2, 6, 1}
{2, 5, 8, 9, 0, 16, 2, 4, 3, 1}
{2, 5, 8, 9, 0, 16, 2, 3, 4, 1}
{2, 5, 8, 8, 0, 13, 9, 2, 2, 1}
{2, 5, 8, 8, 0, 7, 3, 14, 2, 1}
{2, 5, 8, 8, 0, 7, 3, 2, 14, 1}
{2, 5, 8, 6, 0, 19, 3, 3, 3, 1}
{2, 5, 7, 15, 0, 13, 3, 2, 2, 1}
{2, 5, 7, 11, 0, 3, 9, 10, 2, 1}
{2, 5, 7, 11, 0, 3, 9, 2, 10, 1}
{2, 5, 6, 18, 0, 7, 7, 2, 2, 1}
{2, 5, 6, 18, 0, 7, 3, 6, 2, 1}
{2, 5, 6, 18, 0, 7, 3, 2, 6, 1}
{2, 5, 6, 13, 0, 7, 3, 11, 2, 1}
{2, 5, 6, 13, 0, 7, 3, 2, 11, 1}
{2, 5, 6, 8, 0, 19, 3, 3, 3, 1}
{2, 5, 6, 2, 0, 4, 16, 9, 5, 1}
{2, 5, 6, 2, 0, 4, 16, 5, 9, 1}
{2, 5, 6, 2, 0, 3, 7, 18, 6, 1}
{2, 5, 6, 2, 0, 3, 7, 6, 18, 1}
{2, 5, 5, 9, 0, 16, 4, 6, 2, 1}
{2, 5, 5, 9, 0, 16, 4, 2, 6, 1}
{2, 5, 4, 18, 0, 7, 7, 3, 3, 1}
{2, 5, 4, 12, 0, 13, 7, 3, 3, 1}
{2, 5, 4, 3, 0, 2, 16, 9, 8, 1}
{2, 5, 4, 3, 0, 2, 16, 8, 9, 1}
{2, 5, 3, 4, 0, 2, 16, 9, 8, 1}
{2, 5, 3, 4, 0, 2, 16, 8, 9, 1}
{2, 5, 3, 3, 0, 7, 13, 12, 4, 1}
{2, 5, 3, 3, 0, 7, 13, 4, 12, 1}
{2, 5, 3, 3, 0, 7, 7, 18, 4, 1}
{2, 5, 3, 3, 0, 7, 7, 4, 18, 1}
{2, 5, 3, 3, 0, 3, 19, 8, 6, 1}
{2, 5, 3, 3, 0, 3, 19, 6, 8, 1}
{2, 5, 3, 1, 0, 7, 11, 10, 10, 1}
{2, 5, 2, 14, 0, 3, 7, 8, 8, 1}
{2, 5, 2, 11, 0, 3, 7, 13, 6, 1}
{2, 5, 2, 11, 0, 3, 7, 6, 13, 1}
{2, 5, 2, 10, 0, 9, 3, 11, 7, 1}
{2, 5, 2, 10, 0, 9, 3, 7, 11, 1}
{2, 5, 2, 6, 0, 4, 16, 9, 5, 1}
{2, 5, 2, 6, 0, 4, 16, 5, 9, 1}
{2, 5, 2, 6, 0, 3, 7, 18, 6, 1}
{2, 5, 2, 6, 0, 3, 7, 6, 18, 1}
{2, 5, 2, 2, 0, 9, 13, 8, 8, 1}
{2, 5, 2, 2, 0, 7, 7, 18, 6, 1}
{2, 5, 2, 2, 0, 7, 7, 6, 18, 1}
{2, 5, 2, 2, 0, 3, 13, 15, 7, 1}
{2, 5, 2, 2, 0, 3, 13, 7, 15, 1}
{2, 5, 1, 3, 0, 7, 11, 10, 10, 1}
{2, 4, 33, 3, 0, 4, 1, 1, 1, 1}
{2, 4, 21, 5, 0, 6, 3, 4, 4, 1}
{2, 4, 18, 6, 0, 11, 3, 3, 2, 1}
{2, 4, 18, 6, 0, 11, 3, 2, 3, 1}
{2, 4, 16, 5, 0, 5, 11, 4, 2, 1}
{2, 4, 16, 5, 0, 5, 11, 2, 4, 1}
{2, 4, 16, 4, 0, 5, 3, 10, 5, 1}
{2, 4, 16, 4, 0, 5, 3, 5, 10, 1}
{2, 4, 16, 3, 0, 3, 11, 5, 5, 1}
{2, 4, 15, 7, 0, 9, 2, 5, 5, 1}
{2, 4, 15, 4, 0, 3, 13, 4, 4, 1}
{2, 4, 13, 13, 0, 5, 6, 5, 1, 1}
{2, 4, 13, 13, 0, 5, 6, 1, 5, 1}
{2, 4, 12, 12, 0, 5, 3, 9, 2, 1}
{2, 4, 12, 12, 0, 5, 3, 2, 9, 1}
{2, 4, 10, 10, 0, 11, 6, 5, 1, 1}
{2, 4, 10, 10, 0, 11, 6, 1, 5, 1}
{2, 4, 10, 6, 0, 9, 2, 10, 6, 1}
{2, 4, 10, 6, 0, 9, 2, 6, 10, 1}
{2, 4, 10, 6, 0, 2, 9, 10, 6, 1}
{2, 4, 10, 6, 0, 2, 9, 6, 10, 1}
{2, 4, 10, 5, 0, 3, 5, 16, 4, 1}
{2, 4, 10, 5, 0, 3, 5, 4, 16, 1}
{2, 4, 9, 2, 0, 13, 3, 8, 8, 1}
{2, 4, 9, 2, 0, 3, 5, 12, 12, 1}
{2, 4, 8, 8, 0, 3, 13, 9, 2, 1}
{2, 4, 8, 8, 0, 3, 13, 2, 9, 1}
{2, 4, 7, 15, 0, 9, 2, 5, 5, 1}
{2, 4, 6, 18, 0, 11, 3, 3, 2, 1}
{2, 4, 6, 18, 0, 11, 3, 2, 3, 1}
{2, 4, 6, 10, 0, 9, 2, 10, 6, 1}
{2, 4, 6, 10, 0, 9, 2, 6, 10, 1}
{2, 4, 6, 10, 0, 2, 9, 10, 6, 1}
{2, 4, 6, 10, 0, 2, 9, 6, 10, 1}
{2, 4, 6, 5, 0, 21, 3, 4, 4, 1}
{2, 4, 5, 21, 0, 6, 3, 4, 4, 1}
{2, 4, 5, 16, 0, 5, 11, 4, 2, 1}
{2, 4, 5, 16, 0, 5, 11, 2, 4, 1}
{2, 4, 5, 10, 0, 3, 5, 16, 4, 1}
{2, 4, 5, 10, 0, 3, 5, 4, 16, 1}
{2, 4, 5, 6, 0, 21, 3, 4, 4, 1}
{2, 4, 5, 5, 0, 11, 3, 16, 3, 1}
{2, 4, 5, 5, 0, 11, 3, 3, 16, 1}
{2, 4, 5, 5, 0, 2, 9, 15, 7, 1}
{2, 4, 5, 5, 0, 2, 9, 7, 15, 1}
{2, 4, 5, 1, 0, 6, 11, 10, 10, 1}
{2, 4, 5, 1, 0, 6, 5, 13, 13, 1}
{2, 4, 4, 16, 0, 5, 3, 10, 5, 1}
{2, 4, 4, 16, 0, 5, 3, 5, 10, 1}
{2, 4, 4, 15, 0, 3, 13, 4, 4, 1}
{2, 4, 4, 4, 0, 13, 3, 15, 4, 1}
{2, 4, 4, 4, 0, 13, 3, 4, 15, 1}
{2, 4, 4, 4, 0, 3, 21, 6, 5, 1}
{2, 4, 4, 4, 0, 3, 21, 5, 6, 1}
{2, 4, 4, 4, 0, 3, 6, 21, 5, 1}
{2, 4, 4, 4, 0, 3, 6, 5, 21, 1}
{2, 4, 4, 2, 0, 11, 5, 16, 5, 1}
{2, 4, 4, 2, 0, 11, 5, 5, 16, 1}
{2, 4, 3, 33, 0, 4, 1, 1, 1, 1}
{2, 4, 3, 16, 0, 3, 11, 5, 5, 1}
{2, 4, 3, 2, 0, 3, 11, 18, 6, 1}
{2, 4, 3, 2, 0, 3, 11, 6, 18, 1}
{2, 4, 2, 9, 0, 13, 3, 8, 8, 1}
{2, 4, 2, 9, 0, 3, 5, 12, 12, 1}
{2, 4, 2, 4, 0, 11, 5, 16, 5, 1}
{2, 4, 2, 4, 0, 11, 5, 5, 16, 1}
{2, 4, 2, 3, 0, 3, 11, 18, 6, 1}
{2, 4, 2, 3, 0, 3, 11, 6, 18, 1}
{2, 4, 1, 5, 0, 6, 11, 10, 10, 1}
{2, 4, 1, 5, 0, 6, 5, 13, 13, 1}
{2, 4, 1, 1, 0, 1, 4, 33, 3, 1}
{2, 4, 1, 1, 0, 1, 4, 3, 33, 1}
{2, 3, 6, 6, 0, 9, 15, 6, 2, 1}
{2, 3, 6, 6, 0, 9, 15, 2, 6, 1}
{2, 3, 6, 2, 0, 15, 9, 6, 6, 1}
{2, 3, 2, 6, 0, 15, 9, 6, 6, 1}
{2, 2, 22, 6, 0, 4, 4, 6, 3, 1}
{2, 2, 22, 6, 0, 4, 4, 3, 6, 1}
{2, 2, 21, 6, 0, 3, 5, 5, 5, 1}
{2, 2, 20, 5, 0, 3, 7, 7, 3, 1}
{2, 2, 20, 5, 0, 3, 7, 3, 7, 1}
{2, 2, 19, 3, 0, 10, 3, 5, 5, 1}
{2, 2, 18, 4, 0, 7, 10, 3, 3, 1}
{2, 2, 15, 10, 0, 4, 4, 10, 2, 1}
{2, 2, 15, 10, 0, 4, 4, 2, 10, 1}
{2, 2, 15, 7, 0, 4, 3, 10, 6, 1}
{2, 2, 15, 7, 0, 4, 3, 6, 10, 1}
{2, 2, 15, 3, 0, 12, 7, 5, 3, 1}
{2, 2, 15, 3, 0, 12, 7, 3, 5, 1}
{2, 2, 15, 3, 0, 4, 7, 13, 3, 1}
{2, 2, 15, 3, 0, 4, 7, 3, 13, 1}
{2, 2, 14, 14, 0, 9, 2, 3, 3, 1}
{2, 2, 14, 2, 0, 6, 7, 12, 4, 1}
{2, 2, 14, 2, 0, 6, 7, 4, 12, 1}
{2, 2, 13, 13, 0, 5, 3, 9, 2, 1}
{2, 2, 13, 13, 0, 5, 3, 2, 9, 1}
{2, 2, 13, 3, 0, 7, 4, 15, 3, 1}
{2, 2, 13, 3, 0, 7, 4, 3, 15, 1}
{2, 2, 12, 4, 0, 13, 10, 3, 3, 1}
{2, 2, 12, 4, 0, 13, 2, 7, 7, 1}
{2, 2, 12, 4, 0, 7, 12, 8, 2, 1}
{2, 2, 12, 4, 0, 7, 12, 2, 8, 1}
{2, 2, 12, 4, 0, 7, 6, 14, 2, 1}
{2, 2, 12, 4, 0, 7, 6, 2, 14, 1}
{2, 2, 10, 15, 0, 4, 4, 10, 2, 1}
{2, 2, 10, 15, 0, 4, 4, 2, 10, 1}
{2, 2, 10, 6, 0, 4, 17, 6, 2, 1}
{2, 2, 10, 6, 0, 4, 17, 2, 6, 1}
{2, 2, 10, 6, 0, 3, 4, 15, 7, 1}
{2, 2, 10, 6, 0, 3, 4, 7, 15, 1}
{2, 2, 10, 3, 0, 19, 3, 5, 5, 1}
{2, 2, 10, 2, 0, 4, 4, 15, 10, 1}
{2, 2, 10, 2, 0, 4, 4, 10, 15, 1}
{2, 2, 9, 9, 0, 19, 2, 3, 3, 1}
{2, 2, 9, 9, 0, 2, 15, 5, 5, 1}
{2, 2, 9, 2, 0, 3, 5, 13, 13, 1}
{2, 2, 8, 2, 0, 12, 7, 12, 4, 1}
{2, 2, 8, 2, 0, 12, 7, 4, 12, 1}
{2, 2, 7, 15, 0, 4, 3, 10, 6, 1}
{2, 2, 7, 15, 0, 4, 3, 6, 10, 1}
{2, 2, 7, 7, 0, 20, 3, 6, 2, 1}
{2, 2, 7, 7, 0, 20, 3, 2, 6, 1}
{2, 2, 7, 7, 0, 2, 13, 12, 4, 1}
{2, 2, 7, 7, 0, 2, 13, 4, 12, 1}
{2, 2, 7, 3, 0, 7, 3, 20, 5, 1}
{2, 2, 7, 3, 0, 7, 3, 5, 20, 1}
{2, 2, 6, 22, 0, 4, 4, 6, 3, 1}
{2, 2, 6, 22, 0, 4, 4, 3, 6, 1}
{2, 2, 6, 21, 0, 3, 5, 5, 5, 1}
{2, 2, 6, 10, 0, 4, 17, 6, 2, 1}
{2, 2, 6, 10, 0, 4, 17, 2, 6, 1}
{2, 2, 6, 10, 0, 3, 4, 15, 7, 1}
{2, 2, 6, 10, 0, 3, 4, 7, 15, 1}
{2, 2, 6, 3, 0, 4, 4, 22, 6, 1}
{2, 2, 6, 3, 0, 4, 4, 6, 22, 1}
{2, 2, 6, 2, 0, 17, 4, 10, 6, 1}
{2, 2, 6, 2, 0, 17, 4, 6, 10, 1}
{2, 2, 6, 2, 0, 3, 20, 7, 7, 1}
{2, 2, 5, 20, 0, 3, 7, 7, 3, 1}
{2, 2, 5, 20, 0, 3, 7, 3, 7, 1}
{2, 2, 5, 5, 0, 15, 2, 9, 9, 1}
{2, 2, 5, 5, 0, 5, 3, 21, 6, 1}
{2, 2, 5, 5, 0, 5, 3, 6, 21, 1}
{2, 2, 5, 5, 0, 3, 19, 10, 3, 1}
{2, 2, 5, 5, 0, 3, 19, 3, 10, 1}
{2, 2, 5, 5, 0, 3, 10, 19, 3, 1}
{2, 2, 5, 5, 0, 3, 10, 3, 19, 1}
{2, 2, 5, 3, 0, 7, 12, 15, 3, 1}
{2, 2, 5, 3, 0, 7, 12, 3, 15, 1}
{2, 2, 4, 18, 0, 7, 10, 3, 3, 1}
{2, 2, 4, 12, 0, 13, 10, 3, 3, 1}
{2, 2, 4, 12, 0, 13, 2, 7, 7, 1}
{2, 2, 4, 12, 0, 7, 12, 8, 2, 1}
{2, 2, 4, 12, 0, 7, 12, 2, 8, 1}
{2, 2, 4, 12, 0, 7, 6, 14, 2, 1}
{2, 2, 4, 12, 0, 7, 6, 2, 14, 1}
{2, 2, 3, 19, 0, 10, 3, 5, 5, 1}
{2, 2, 3, 15, 0, 12, 7, 5, 3, 1}
{2, 2, 3, 15, 0, 12, 7, 3, 5, 1}
{2, 2, 3, 15, 0, 4, 7, 13, 3, 1}
{2, 2, 3, 15, 0, 4, 7, 3, 13, 1}
{2, 2, 3, 13, 0, 7, 4, 15, 3, 1}
{2, 2, 3, 13, 0, 7, 4, 3, 15, 1}
{2, 2, 3, 10, 0, 19, 3, 5, 5, 1}
{2, 2, 3, 7, 0, 7, 3, 20, 5, 1}
{2, 2, 3, 7, 0, 7, 3, 5, 20, 1}
{2, 2, 3, 6, 0, 4, 4, 22, 6, 1}
{2, 2, 3, 6, 0, 4, 4, 6, 22, 1}
{2, 2, 3, 5, 0, 7, 12, 15, 3, 1}
{2, 2, 3, 5, 0, 7, 12, 3, 15, 1}
{2, 2, 3, 3, 0, 10, 13, 12, 4, 1}
{2, 2, 3, 3, 0, 10, 13, 4, 12, 1}
{2, 2, 3, 3, 0, 10, 7, 18, 4, 1}
{2, 2, 3, 3, 0, 10, 7, 4, 18, 1}
{2, 2, 3, 3, 0, 2, 19, 9, 9, 1}
{2, 2, 3, 3, 0, 2, 9, 14, 14, 1}
{2, 2, 2, 14, 0, 6, 7, 12, 4, 1}
{2, 2, 2, 14, 0, 6, 7, 4, 12, 1}
{2, 2, 2, 10, 0, 4, 4, 15, 10, 1}
{2, 2, 2, 10, 0, 4, 4, 10, 15, 1}
{2, 2, 2, 9, 0, 3, 5, 13, 13, 1}
{2, 2, 2, 8, 0, 12, 7, 12, 4, 1}
{2, 2, 2, 8, 0, 12, 7, 4, 12, 1}
{2, 2, 2, 6, 0, 17, 4, 10, 6, 1}
{2, 2, 2, 6, 0, 17, 4, 6, 10, 1}
{2, 2, 2, 6, 0, 3, 20, 7, 7, 1}
{2, 1, 33, 3, 0, 6, 1, 2, 1, 1}
{2, 1, 33, 3, 0, 6, 1, 1, 2, 1}
{2, 1, 33, 3, 0, 1, 1, 7, 1, 1}
{2, 1, 33, 3, 0, 1, 1, 1, 7, 1}
{2, 1, 30, 6, 0, 7, 1, 1, 1, 1}
{2, 1, 27, 1, 0, 1, 1, 13, 3, 1}
{2, 1, 27, 1, 0, 1, 1, 3, 13, 1}
{2, 1, 24, 5, 0, 7, 4, 3, 3, 1}
{2, 1, 19, 3, 0, 3, 5, 8, 8, 1}
{2, 1, 16, 16, 0, 5, 3, 3, 3, 1}
{2, 1, 16, 2, 0, 6, 4, 12, 6, 1}
{2, 1, 16, 2, 0, 6, 4, 6, 12, 1}
{2, 1, 15, 15, 0, 3, 5, 4, 4, 1}
{2, 1, 15, 4, 0, 2, 11, 7, 7, 1}
{2, 1, 15, 3, 0, 5, 3, 12, 8, 1}
{2, 1, 15, 3, 0, 5, 3, 8, 12, 1}
{2, 1, 14, 6, 0, 7, 3, 14, 2, 1}
{2, 1, 14, 6, 0, 7, 3, 2, 14, 1}
{2, 1, 14, 2, 0, 3, 7, 14, 6, 1}
{2, 1, 14, 2, 0, 3, 7, 6, 14, 1}
{2, 1, 13, 3, 0, 1, 1, 27, 1, 1}
{2, 1, 13, 3, 0, 1, 1, 1, 27, 1}
{2, 1, 12, 12, 0, 3, 11, 6, 2, 1}
{2, 1, 12, 12, 0, 3, 11, 2, 6, 1}
{2, 1, 12, 8, 0, 3, 5, 15, 3, 1}
{2, 1, 12, 8, 0, 3, 5, 3, 15, 1}
{2, 1, 12, 6, 0, 4, 6, 16, 2, 1}
{2, 1, 12, 6, 0, 4, 6, 2, 16, 1}
{2, 1, 12, 5, 0, 4, 3, 11, 11, 1}
{2, 1, 12, 3, 0, 13, 10, 5, 3, 1}
{2, 1, 12, 3, 0, 13, 10, 3, 5, 1}
{2, 1, 11, 11, 0, 3, 4, 12, 5, 1}
{2, 1, 11, 11, 0, 3, 4, 5, 12, 1}
{2, 1, 9, 5, 0, 7, 19, 3, 3, 1}
{2, 1, 8, 12, 0, 3, 5, 15, 3, 1}
{2, 1, 8, 12, 0, 3, 5, 3, 15, 1}
{2, 1, 8, 8, 0, 5, 3, 19, 3, 1}
{2, 1, 8, 8, 0, 5, 3, 3, 19, 1}
{2, 1, 7, 7, 0, 23, 3, 3, 3, 1}
{2, 1, 7, 7, 0, 11, 15, 4, 2, 1}
{2, 1, 7, 7, 0, 11, 15, 2, 4, 1}
{2, 1, 7, 7, 0, 11, 2, 15, 4, 1}
{2, 1, 7, 7, 0, 11, 2, 4, 15, 1}
{2, 1, 7, 7, 0, 5, 21, 3, 3, 1}
{2, 1, 7, 1, 0, 1, 1, 33, 3, 1}
{2, 1, 7, 1, 0, 1, 1, 3, 33, 1}
{2, 1, 6, 30, 0, 7, 1, 1, 1, 1}
{2, 1, 6, 14, 0, 7, 3, 14, 2, 1}
{2, 1, 6, 14, 0, 7, 3, 2, 14, 1}
{2, 1, 6, 12, 0, 4, 6, 16, 2, 1}
{2, 1, 6, 12, 0, 4, 6, 2, 16, 1}
{2, 1, 6, 6, 0, 15, 11, 6, 2, 1}
{2, 1, 6, 6, 0, 15, 11, 2, 6, 1}
{2, 1, 6, 6, 0, 3, 23, 4, 4, 1}
{2, 1, 6, 2, 0, 11, 15, 6, 6, 1}
{2, 1, 6, 2, 0, 11, 3, 12, 12, 1}
{2, 1, 5, 24, 0, 7, 4, 3, 3, 1}
{2, 1, 5, 12, 0, 4, 3, 11, 11, 1}
{2, 1, 5, 9, 0, 7, 19, 3, 3, 1}
{2, 1, 5, 3, 0, 10, 13, 12, 3, 1}
{2, 1, 5, 3, 0, 10, 13, 3, 12, 1}
{2, 1, 4, 15, 0, 2, 11, 7, 7, 1}
{2, 1, 4, 4, 0, 23, 3, 6, 6, 1}
{2, 1, 4, 4, 0, 5, 3, 15, 15, 1}
{2, 1, 4, 2, 0, 15, 11, 7, 7, 1}
{2, 1, 3, 33, 0, 6, 1, 2, 1, 1}
{2, 1, 3, 33, 0, 6, 1, 1, 2, 1}
{2, 1, 3, 33, 0, 1, 1, 7, 1, 1}
{2, 1, 3, 33, 0, 1, 1, 1, 7, 1}
{2, 1, 3, 19, 0, 3, 5, 8, 8, 1}
{2, 1, 3, 15, 0, 5, 3, 12, 8, 1}
{2, 1, 3, 15, 0, 5, 3, 8, 12, 1}
{2, 1, 3, 13, 0, 1, 1, 27, 1, 1}
{2, 1, 3, 13, 0, 1, 1, 1, 27, 1}
{2, 1, 3, 12, 0, 13, 10, 5, 3, 1}
{2, 1, 3, 12, 0, 13, 10, 3, 5, 1}
{2, 1, 3, 5, 0, 10, 13, 12, 3, 1}
{2, 1, 3, 5, 0, 10, 13, 3, 12, 1}
{2, 1, 3, 3, 0, 21, 5, 7, 7, 1}
{2, 1, 3, 3, 0, 19, 7, 9, 5, 1}
{2, 1, 3, 3, 0, 19, 7, 5, 9, 1}
{2, 1, 3, 3, 0, 4, 7, 24, 5, 1}
{2, 1, 3, 3, 0, 4, 7, 5, 24, 1}
{2, 1, 3, 3, 0, 3, 23, 7, 7, 1}
{2, 1, 3, 3, 0, 3, 5, 16, 16, 1}
{2, 1, 2, 16, 0, 6, 4, 12, 6, 1}
{2, 1, 2, 16, 0, 6, 4, 6, 12, 1}
{2, 1, 2, 14, 0, 3, 7, 14, 6, 1}
{2, 1, 2, 14, 0, 3, 7, 6, 14, 1}
{2, 1, 2, 6, 0, 11, 15, 6, 6, 1}
{2, 1, 2, 6, 0, 11, 3, 12, 12, 1}
{2, 1, 2, 4, 0, 15, 11, 7, 7, 1}
{2, 1, 2, 1, 0, 1, 6, 33, 3, 1}
{2, 1, 2, 1, 0, 1, 6, 3, 33, 1}
{2, 1, 1, 27, 0, 1, 1, 13, 3, 1}
{2, 1, 1, 27, 0, 1, 1, 3, 13, 1}
{2, 1, 1, 7, 0, 1, 1, 33, 3, 1}
{2, 1, 1, 7, 0, 1, 1, 3, 33, 1}
{2, 1, 1, 2, 0, 1, 6, 33, 3, 1}
{2, 1, 1, 2, 0, 1, 6, 3, 33, 1}
{2, 1, 1, 1, 0, 1, 7, 30, 6, 1}
{2, 1, 1, 1, 0, 1, 7, 6, 30, 1}
{1, 27, 8, 3, 0, 6, 1, 2, 1, 1}
{1, 27, 8, 3, 0, 6, 1, 1, 2, 1}
{1, 27, 3, 8, 0, 6, 1, 2, 1, 1}
{1, 27, 3, 8, 0, 6, 1, 1, 2, 1}
{1, 27, 2, 1, 0, 1, 6, 8, 3, 1}
{1, 27, 2, 1, 0, 1, 6, 3, 8, 1}
{1, 27, 1, 2, 0, 1, 6, 8, 3, 1}
{1, 27, 1, 2, 0, 1, 6, 3, 8, 1}
{1, 24, 8, 4, 0, 9, 1, 1, 1, 1}
{1, 24, 4, 8, 0, 9, 1, 1, 1, 1}
{1, 24, 1, 1, 0, 1, 9, 8, 4, 1}
{1, 24, 1, 1, 0, 1, 9, 4, 8, 1}
{1, 16, 20, 5, 0, 4, 1, 1, 1, 1}
{1, 16, 14, 2, 0, 13, 1, 1, 1, 1}
{1, 16, 14, 2, 0, 4, 1, 10, 1, 1}
{1, 16, 14, 2, 0, 4, 1, 1, 10, 1}
{1, 16, 10, 1, 0, 1, 4, 14, 2, 1}
{1, 16, 10, 1, 0, 1, 4, 2, 14, 1}
{1, 16, 5, 20, 0, 4, 1, 1, 1, 1}
{1, 16, 2, 14, 0, 13, 1, 1, 1, 1}
{1, 16, 2, 14, 0, 4, 1, 10, 1, 1}
{1, 16, 2, 14, 0, 4, 1, 1, 10, 1}
{1, 16, 1, 10, 0, 1, 4, 14, 2, 1}
{1, 16, 1, 10, 0, 1, 4, 2, 14, 1}
{1, 16, 1, 1, 0, 1, 13, 14, 2, 1}
{1, 16, 1, 1, 0, 1, 13, 2, 14, 1}
{1, 16, 1, 1, 0, 1, 4, 20, 5, 1}
{1, 16, 1, 1, 0, 1, 4, 5, 20, 1}
{1, 12, 10, 6, 0, 6, 6, 6, 2, 1}
{1, 12, 10, 6, 0, 6, 6, 2, 6, 1}
{1, 12, 6, 10, 0, 6, 6, 6, 2, 1}
{1, 12, 6, 10, 0, 6, 6, 2, 6, 1}
{1, 12, 6, 2, 0, 6, 6, 10, 6, 1}
{1, 12, 6, 2, 0, 6, 6, 6, 10, 1}
{1, 12, 2, 6, 0, 6, 6, 10, 6, 1}
{1, 12, 2, 6, 0, 6, 6, 6, 10, 1}
{1, 11, 9, 5, 0, 10, 7, 3, 3, 1}
{1, 11, 9, 2, 0, 4, 8, 7, 7, 1}
{1, 11, 7, 7, 0, 8, 4, 9, 2, 1}
{1, 11, 7, 7, 0, 8, 4, 2, 9, 1}
{1, 11, 5, 9, 0, 10, 7, 3, 3, 1}
{1, 11, 3, 3, 0, 7, 10, 9, 5, 1}
{1, 11, 3, 3, 0, 7, 10, 5, 9, 1}
{1, 11, 2, 9, 0, 4, 8, 7, 7, 1}
{1, 10, 15, 4, 0, 5, 5, 6, 3, 1}
{1, 10, 15, 4, 0, 5, 5, 3, 6, 1}
{1, 10, 6, 3, 0, 5, 5, 15, 4, 1}
{1, 10, 6, 3, 0, 5, 5, 4, 15, 1}
{1, 10, 4, 15, 0, 5, 5, 6, 3, 1}
{1, 10, 4, 15, 0, 5, 5, 3, 6, 1}
{1, 10, 3, 6, 0, 5, 5, 15, 4, 1}
{1, 10, 3, 6, 0, 5, 5, 4, 15, 1}
{1, 8, 30, 6, 0, 1, 1, 1, 1, 1}
{1, 8, 16, 6, 0, 8, 4, 4, 2, 1}
{1, 8, 16, 6, 0, 8, 4, 2, 4, 1}
{1, 8, 7, 7, 0, 5, 15, 3, 3, 1}
{1, 8, 6, 30, 0, 1, 1, 1, 1, 1}
{1, 8, 6, 16, 0, 8, 4, 4, 2, 1}
{1, 8, 6, 16, 0, 8, 4, 2, 4, 1}
{1, 8, 4, 2, 0, 4, 8, 16, 6, 1}
{1, 8, 4, 2, 0, 4, 8, 6, 16, 1}
{1, 8, 3, 3, 0, 15, 5, 7, 7, 1}
{1, 8, 2, 4, 0, 4, 8, 16, 6, 1}
{1, 8, 2, 4, 0, 4, 8, 6, 16, 1}
{1, 8, 1, 1, 0, 1, 1, 30, 6, 1}
{1, 8, 1, 1, 0, 1, 1, 6, 30, 1}
{1, 7, 13, 13, 0, 6, 3, 4, 2, 1}
{1, 7, 13, 13, 0, 6, 3, 2, 4, 1}
{1, 7, 4, 2, 0, 3, 6, 13, 13, 1}
{1, 7, 2, 4, 0, 3, 6, 13, 13, 1}
{1, 5, 19, 7, 0, 8, 3, 4, 2, 1}
{1, 5, 19, 7, 0, 8, 3, 2, 4, 1}
{1, 5, 18, 6, 0, 8, 3, 6, 2, 1}
{1, 5, 18, 6, 0, 8, 3, 2, 6, 1}
{1, 5, 10, 2, 0, 5, 14, 7, 5, 1}
{1, 5, 10, 2, 0, 5, 14, 5, 7, 1}
{1, 5, 7, 19, 0, 8, 3, 4, 2, 1}
{1, 5, 7, 19, 0, 8, 3, 2, 4, 1}
{1, 5, 7, 5, 0, 14, 5, 10, 2, 1}
{1, 5, 7, 5, 0, 14, 5, 2, 10, 1}
{1, 5, 6, 18, 0, 8, 3, 6, 2, 1}
{1, 5, 6, 18, 0, 8, 3, 2, 6, 1}
{1, 5, 6, 2, 0, 3, 8, 18, 6, 1}
{1, 5, 6, 2, 0, 3, 8, 6, 18, 1}
{1, 5, 5, 7, 0, 14, 5, 10, 2, 1}
{1, 5, 5, 7, 0, 14, 5, 2, 10, 1}
{1, 5, 4, 2, 0, 3, 8, 19, 7, 1}
{1, 5, 4, 2, 0, 3, 8, 7, 19, 1}
{1, 5, 2, 10, 0, 5, 14, 7, 5, 1}
{1, 5, 2, 10, 0, 5, 14, 5, 7, 1}
{1, 5, 2, 6, 0, 3, 8, 18, 6, 1}
{1, 5, 2, 6, 0, 3, 8, 6, 18, 1}
{1, 5, 2, 4, 0, 3, 8, 19, 7, 1}
{1, 5, 2, 4, 0, 3, 8, 7, 19, 1}
{1, 4, 28, 4, 0, 9, 1, 1, 1, 1}
{1, 4, 22, 4, 0, 4, 6, 4, 4, 1}
{1, 4, 21, 7, 0, 5, 3, 4, 4, 1}
{1, 4, 21, 6, 0, 5, 3, 5, 4, 1}
{1, 4, 21, 6, 0, 5, 3, 4, 5, 1}
{1, 4, 19, 4, 0, 3, 5, 7, 6, 1}
{1, 4, 19, 4, 0, 3, 5, 6, 7, 1}
{1, 4, 15, 9, 0, 8, 2, 5, 5, 1}
{1, 4, 13, 13, 0, 3, 5, 7, 3, 1}
{1, 4, 13, 13, 0, 3, 5, 3, 7, 1}
{1, 4, 10, 10, 0, 13, 7, 2, 2, 1}
{1, 4, 9, 15, 0, 8, 2, 5, 5, 1}
{1, 4, 7, 21, 0, 5, 3, 4, 4, 1}
{1, 4, 7, 7, 0, 5, 17, 6, 2, 1}
{1, 4, 7, 7, 0, 5, 17, 2, 6, 1}
{1, 4, 7, 6, 0, 5, 3, 19, 4, 1}
{1, 4, 7, 6, 0, 5, 3, 4, 19, 1}
{1, 4, 7, 3, 0, 5, 3, 13, 13, 1}
{1, 4, 6, 21, 0, 5, 3, 5, 4, 1}
{1, 4, 6, 21, 0, 5, 3, 4, 5, 1}
{1, 4, 6, 7, 0, 5, 3, 19, 4, 1}
{1, 4, 6, 7, 0, 5, 3, 4, 19, 1}
{1, 4, 6, 2, 0, 17, 5, 7, 7, 1}
{1, 4, 5, 5, 0, 2, 8, 15, 9, 1}
{1, 4, 5, 5, 0, 2, 8, 9, 15, 1}
{1, 4, 5, 4, 0, 3, 5, 21, 6, 1}
{1, 4, 5, 4, 0, 3, 5, 6, 21, 1}
{1, 4, 4, 28, 0, 9, 1, 1, 1, 1}
{1, 4, 4, 22, 0, 4, 6, 4, 4, 1}
{1, 4, 4, 19, 0, 3, 5, 7, 6, 1}
{1, 4, 4, 19, 0, 3, 5, 6, 7, 1}
{1, 4, 4, 5, 0, 3, 5, 21, 6, 1}
{1, 4, 4, 5, 0, 3, 5, 6, 21, 1}
{1, 4, 4, 4, 0, 6, 4, 22, 4, 1}
{1, 4, 4, 4, 0, 6, 4, 4, 22, 1}
{1, 4, 4, 4, 0, 3, 5, 21, 7, 1}
{1, 4, 4, 4, 0, 3, 5, 7, 21, 1}
{1, 4, 3, 7, 0, 5, 3, 13, 13, 1}
{1, 4, 2, 6, 0, 17, 5, 7, 7, 1}
{1, 4, 2, 2, 0, 7, 13, 10, 10, 1}
{1, 4, 1, 1, 0, 1, 9, 28, 4, 1}
{1, 4, 1, 1, 0, 1, 9, 4, 28, 1}
{1, 3, 17, 2, 0, 4, 8, 9, 5, 1}
{1, 3, 17, 2, 0, 4, 8, 5, 9, 1}
{1, 3, 16, 8, 0, 11, 6, 2, 2, 1}
{1, 3, 14, 10, 0, 14, 3, 2, 2, 1}
{1, 3, 10, 14, 0, 14, 3, 2, 2, 1}
{1, 3, 10, 9, 0, 3, 12, 9, 2, 1}
{1, 3, 10, 9, 0, 3, 12, 2, 9, 1}
{1, 3, 9, 10, 0, 3, 12, 9, 2, 1}
{1, 3, 9, 10, 0, 3, 12, 2, 9, 1}
{1, 3, 9, 5, 0, 8, 4, 17, 2, 1}
{1, 3, 9, 5, 0, 8, 4, 2, 17, 1}
{1, 3, 9, 2, 0, 12, 3, 10, 9, 1}
{1, 3, 9, 2, 0, 12, 3, 9, 10, 1}
{1, 3, 8, 16, 0, 11, 6, 2, 2, 1}
{1, 3, 8, 6, 0, 15, 10, 4, 2, 1}
{1, 3, 8, 6, 0, 15, 10, 2, 4, 1}
{1, 3, 6, 8, 0, 15, 10, 4, 2, 1}
{1, 3, 6, 8, 0, 15, 10, 2, 4, 1}
{1, 3, 5, 9, 0, 8, 4, 17, 2, 1}
{1, 3, 5, 9, 0, 8, 4, 2, 17, 1}
{1, 3, 4, 2, 0, 10, 15, 8, 6, 1}
{1, 3, 4, 2, 0, 10, 15, 6, 8, 1}
{1, 3, 2, 17, 0, 4, 8, 9, 5, 1}
{1, 3, 2, 17, 0, 4, 8, 5, 9, 1}
{1, 3, 2, 9, 0, 12, 3, 10, 9, 1}
{1, 3, 2, 9, 0, 12, 3, 9, 10, 1}
{1, 3, 2, 4, 0, 10, 15, 8, 6, 1}
{1, 3, 2, 4, 0, 10, 15, 6, 8, 1}
{1, 3, 2, 2, 0, 6, 11, 16, 8, 1}
{1, 3, 2, 2, 0, 6, 11, 8, 16, 1}
{1, 3, 2, 2, 0, 3, 14, 14, 10, 1}
{1, 3, 2, 2, 0, 3, 14, 10, 14, 1}
{1, 2, 33, 3, 0, 6, 1, 2, 1, 1}
{1, 2, 33, 3, 0, 6, 1, 1, 2, 1}
{1, 2, 33, 3, 0, 1, 1, 7, 1, 1}
{1, 2, 33, 3, 0, 1, 1, 1, 7, 1}
{1, 2, 30, 6, 0, 7, 1, 1, 1, 1}
{1, 2, 27, 1, 0, 1, 1, 13, 3, 1}
{1, 2, 27, 1, 0, 1, 1, 3, 13, 1}
{1, 2, 24, 5, 0, 7, 4, 3, 3, 1}
{1, 2, 19, 3, 0, 3, 5, 8, 8, 1}
{1, 2, 16, 16, 0, 5, 3, 3, 3, 1}
{1, 2, 16, 2, 0, 6, 4, 12, 6, 1}
{1, 2, 16, 2, 0, 6, 4, 6, 12, 1}
{1, 2, 15, 15, 0, 3, 5, 4, 4, 1}
{1, 2, 15, 4, 0, 2, 11, 7, 7, 1}
{1, 2, 15, 3, 0, 5, 3, 12, 8, 1}
{1, 2, 15, 3, 0, 5, 3, 8, 12, 1}
{1, 2, 14, 6, 0, 7, 3, 14, 2, 1}
{1, 2, 14, 6, 0, 7, 3, 2, 14, 1}
{1, 2, 14, 2, 0, 3, 7, 14, 6, 1}
{1, 2, 14, 2, 0, 3, 7, 6, 14, 1}
{1, 2, 13, 3, 0, 1, 1, 27, 1, 1}
{1, 2, 13, 3, 0, 1, 1, 1, 27, 1}
{1, 2, 12, 12, 0, 3, 11, 6, 2, 1}
{1, 2, 12, 12, 0, 3, 11, 2, 6, 1}
{1, 2, 12, 8, 0, 3, 5, 15, 3, 1}
{1, 2, 12, 8, 0, 3, 5, 3, 15, 1}
{1, 2, 12, 6, 0, 4, 6, 16, 2, 1}
{1, 2, 12, 6, 0, 4, 6, 2, 16, 1}
{1, 2, 12, 5, 0, 4, 3, 11, 11, 1}
{1, 2, 12, 3, 0, 13, 10, 5, 3, 1}
{1, 2, 12, 3, 0, 13, 10, 3, 5, 1}
{1, 2, 11, 11, 0, 3, 4, 12, 5, 1}
{1, 2, 11, 11, 0, 3, 4, 5, 12, 1}
{1, 2, 9, 5, 0, 7, 19, 3, 3, 1}
{1, 2, 8, 12, 0, 3, 5, 15, 3, 1}
{1, 2, 8, 12, 0, 3, 5, 3, 15, 1}
{1, 2, 8, 8, 0, 5, 3, 19, 3, 1}
{1, 2, 8, 8, 0, 5, 3, 3, 19, 1}
{1, 2, 7, 7, 0, 23, 3, 3, 3, 1}
{1, 2, 7, 7, 0, 11, 15, 4, 2, 1}
{1, 2, 7, 7, 0, 11, 15, 2, 4, 1}
{1, 2, 7, 7, 0, 11, 2, 15, 4, 1}
{1, 2, 7, 7, 0, 11, 2, 4, 15, 1}
{1, 2, 7, 7, 0, 5, 21, 3, 3, 1}
{1, 2, 7, 1, 0, 1, 1, 33, 3, 1}
{1, 2, 7, 1, 0, 1, 1, 3, 33, 1}
{1, 2, 6, 30, 0, 7, 1, 1, 1, 1}
{1, 2, 6, 14, 0, 7, 3, 14, 2, 1}
{1, 2, 6, 14, 0, 7, 3, 2, 14, 1}
{1, 2, 6, 12, 0, 4, 6, 16, 2, 1}
{1, 2, 6, 12, 0, 4, 6, 2, 16, 1}
{1, 2, 6, 6, 0, 15, 11, 6, 2, 1}
{1, 2, 6, 6, 0, 15, 11, 2, 6, 1}
{1, 2, 6, 6, 0, 3, 23, 4, 4, 1}
{1, 2, 6, 2, 0, 11, 15, 6, 6, 1}
{1, 2, 6, 2, 0, 11, 3, 12, 12, 1}
{1, 2, 5, 24, 0, 7, 4, 3, 3, 1}
{1, 2, 5, 12, 0, 4, 3, 11, 11, 1}
{1, 2, 5, 9, 0, 7, 19, 3, 3, 1}
{1, 2, 5, 3, 0, 10, 13, 12, 3, 1}
{1, 2, 5, 3, 0, 10, 13, 3, 12, 1}
{1, 2, 4, 15, 0, 2, 11, 7, 7, 1}
{1, 2, 4, 4, 0, 23, 3, 6, 6, 1}
{1, 2, 4, 4, 0, 5, 3, 15, 15, 1}
{1, 2, 4, 2, 0, 15, 11, 7, 7, 1}
{1, 2, 3, 33, 0, 6, 1, 2, 1, 1}
{1, 2, 3, 33, 0, 6, 1, 1, 2, 1}
{1, 2, 3, 33, 0, 1, 1, 7, 1, 1}
{1, 2, 3, 33, 0, 1, 1, 1, 7, 1}
{1, 2, 3, 19, 0, 3, 5, 8, 8, 1}
{1, 2, 3, 15, 0, 5, 3, 12, 8, 1}
{1, 2, 3, 15, 0, 5, 3, 8, 12, 1}
{1, 2, 3, 13, 0, 1, 1, 27, 1, 1}
{1, 2, 3, 13, 0, 1, 1, 1, 27, 1}
{1, 2, 3, 12, 0, 13, 10, 5, 3, 1}
{1, 2, 3, 12, 0, 13, 10, 3, 5, 1}
{1, 2, 3, 5, 0, 10, 13, 12, 3, 1}
{1, 2, 3, 5, 0, 10, 13, 3, 12, 1}
{1, 2, 3, 3, 0, 21, 5, 7, 7, 1}
{1, 2, 3, 3, 0, 19, 7, 9, 5, 1}
{1, 2, 3, 3, 0, 19, 7, 5, 9, 1}
{1, 2, 3, 3, 0, 4, 7, 24, 5, 1}
{1, 2, 3, 3, 0, 4, 7, 5, 24, 1}
{1, 2, 3, 3, 0, 3, 23, 7, 7, 1}
{1, 2, 3, 3, 0, 3, 5, 16, 16, 1}
{1, 2, 2, 16, 0, 6, 4, 12, 6, 1}
{1, 2, 2, 16, 0, 6, 4, 6, 12, 1}
{1, 2, 2, 14, 0, 3, 7, 14, 6, 1}
{1, 2, 2, 14, 0, 3, 7, 6, 14, 1}
{1, 2, 2, 6, 0, 11, 15, 6, 6, 1}
{1, 2, 2, 6, 0, 11, 3, 12, 12, 1}
{1, 2, 2, 4, 0, 15, 11, 7, 7, 1}
{1, 2, 2, 1, 0, 1, 6, 33, 3, 1}
{1, 2, 2, 1, 0, 1, 6, 3, 33, 1}
{1, 2, 1, 27, 0, 1, 1, 13, 3, 1}
{1, 2, 1, 27, 0, 1, 1, 3, 13, 1}
{1, 2, 1, 7, 0, 1, 1, 33, 3, 1}
{1, 2, 1, 7, 0, 1, 1, 3, 33, 1}
{1, 2, 1, 2, 0, 1, 6, 33, 3, 1}
{1, 2, 1, 2, 0, 1, 6, 3, 33, 1}
{1, 2, 1, 1, 0, 1, 7, 30, 6, 1}
{1, 2, 1, 1, 0, 1, 7, 6, 30, 1}
{1, 1, 27, 9, 0, 8, 1, 1, 1, 1}
{1, 1, 25, 5, 0, 6, 3, 4, 4, 1}
{1, 1, 25, 4, 0, 5, 5, 5, 3, 1}
{1, 1, 25, 4, 0, 5, 5, 3, 5, 1}
{1, 1, 25, 2, 0, 4, 1, 14, 1, 1}
{1, 1, 25, 2, 0, 4, 1, 1, 14, 1}
{1, 1, 25, 1, 0, 1, 4, 14, 2, 1}
{1, 1, 25, 1, 0, 1, 4, 2, 14, 1}
{1, 1, 21, 3, 0, 3, 10, 5, 5, 1}
{1, 1, 20, 5, 0, 19, 1, 1, 1, 1}
{1, 1, 19, 10, 0, 10, 2, 3, 3, 1}
{1, 1, 19, 7, 0, 4, 3, 7, 7, 1}
{1, 1, 18, 6, 0, 11, 2, 7, 3, 1}
{1, 1, 18, 6, 0, 11, 2, 3, 7, 1}
{1, 1, 16, 16, 0, 7, 4, 2, 2, 1}
{1, 1, 16, 13, 0, 8, 2, 5, 3, 1}
{1, 1, 16, 13, 0, 8, 2, 3, 5, 1}
{1, 1, 16, 4, 0, 11, 8, 6, 2, 1}
{1, 1, 16, 4, 0, 11, 8, 2, 6, 1}
{1, 1, 16, 4, 0, 3, 16, 4, 4, 1}
{1, 1, 15, 15, 0, 6, 7, 2, 2, 1}
{1, 1, 14, 10, 0, 3, 11, 7, 2, 1}
{1, 1, 14, 10, 0, 3, 11, 2, 7, 1}
{1, 1, 14, 2, 0, 28, 1, 1, 1, 1}
{1, 1, 14, 2, 0, 4, 1, 25, 1, 1}
{1, 1, 14, 2, 0, 4, 1, 1, 25, 1}
{1, 1, 14, 1, 0, 1, 4, 25, 2, 1}
{1, 1, 14, 1, 0, 1, 4, 2, 25, 1}
{1, 1, 13, 16, 0, 8, 2, 5, 3, 1}
{1, 1, 13, 16, 0, 8, 2, 3, 5, 1}
{1, 1, 13, 13, 0, 14, 2, 3, 2, 1}
{1, 1, 13, 13, 0, 14, 2, 2, 3, 1}
{1, 1, 13, 13, 0, 4, 3, 10, 4, 1}
{1, 1, 13, 13, 0, 4, 3, 4, 10, 1}
{1, 1, 13, 6, 0, 11, 2, 12, 3, 1}
{1, 1, 13, 6, 0, 11, 2, 3, 12, 1}
{1, 1, 12, 4, 0, 11, 2, 9, 9, 1}
{1, 1, 12, 3, 0, 2, 11, 13, 6, 1}
{1, 1, 12, 3, 0, 2, 11, 6, 13, 1}
{1, 1, 10, 19, 0, 10, 2, 3, 3, 1}
{1, 1, 10, 14, 0, 3, 11, 7, 2, 1}
{1, 1, 10, 14, 0, 3, 11, 2, 7, 1}
{1, 1, 10, 4, 0, 13, 10, 8, 2, 1}
{1, 1, 10, 4, 0, 13, 10, 2, 8, 1}
{1, 1, 10, 4, 0, 3, 20, 7, 3, 1}
{1, 1, 10, 4, 0, 3, 20, 3, 7, 1}
{1, 1, 10, 4, 0, 3, 4, 13, 13, 1}
{1, 1, 9, 27, 0, 8, 1, 1, 1, 1}
{1, 1, 9, 9, 0, 2, 11, 12, 4, 1}
{1, 1, 9, 9, 0, 2, 11, 4, 12, 1}
{1, 1, 8, 2, 0, 10, 13, 10, 4, 1}
{1, 1, 8, 2, 0, 10, 13, 4, 10, 1}
{1, 1, 7, 19, 0, 4, 3, 7, 7, 1}
{1, 1, 7, 7, 0, 3, 4, 19, 7, 1}
{1, 1, 7, 7, 0, 3, 4, 7, 19, 1}
{1, 1, 7, 3, 0, 20, 3, 10, 4, 1}
{1, 1, 7, 3, 0, 20, 3, 4, 10, 1}
{1, 1, 7, 3, 0, 2, 11, 18, 6, 1}
{1, 1, 7, 3, 0, 2, 11, 6, 18, 1}
{1, 1, 7, 2, 0, 11, 3, 14, 10, 1}
{1, 1, 7, 2, 0, 11, 3, 10, 14, 1}
{1, 1, 6, 18, 0, 11, 2, 7, 3, 1}
{1, 1, 6, 18, 0, 11, 2, 3, 7, 1}
{1, 1, 6, 13, 0, 11, 2, 12, 3, 1}
{1, 1, 6, 13, 0, 11, 2, 3, 12, 1}
{1, 1, 6, 2, 0, 8, 11, 16, 4, 1}
{1, 1, 6, 2, 0, 8, 11, 4, 16, 1}
{1, 1, 5, 25, 0, 6, 3, 4, 4, 1}
{1, 1, 5, 20, 0, 19, 1, 1, 1, 1}
{1, 1, 5, 5, 0, 10, 3, 21, 3, 1}
{1, 1, 5, 5, 0, 10, 3, 3, 21, 1}
{1, 1, 5, 3, 0, 5, 5, 25, 4, 1}
{1, 1, 5, 3, 0, 5, 5, 4, 25, 1}
{1, 1, 5, 3, 0, 2, 8, 16, 13, 1}
{1, 1, 5, 3, 0, 2, 8, 13, 16, 1}
{1, 1, 4, 25, 0, 5, 5, 5, 3, 1}
{1, 1, 4, 25, 0, 5, 5, 3, 5, 1}
{1, 1, 4, 16, 0, 11, 8, 6, 2, 1}
{1, 1, 4, 16, 0, 11, 8, 2, 6, 1}
{1, 1, 4, 16, 0, 3, 16, 4, 4, 1}
{1, 1, 4, 12, 0, 11, 2, 9, 9, 1}
{1, 1, 4, 10, 0, 13, 10, 8, 2, 1}
{1, 1, 4, 10, 0, 13, 10, 2, 8, 1}
{1, 1, 4, 10, 0, 3, 20, 7, 3, 1}
{1, 1, 4, 10, 0, 3, 20, 3, 7, 1}
{1, 1, 4, 10, 0, 3, 4, 13, 13, 1}
{1, 1, 4, 4, 0, 16, 3, 16, 4, 1}
{1, 1, 4, 4, 0, 16, 3, 4, 16, 1}
{1, 1, 4, 4, 0, 3, 6, 25, 5, 1}
{1, 1, 4, 4, 0, 3, 6, 5, 25, 1}
{1, 1, 3, 21, 0, 3, 10, 5, 5, 1}
{1, 1, 3, 12, 0, 2, 11, 13, 6, 1}
{1, 1, 3, 12, 0, 2, 11, 6, 13, 1}
{1, 1, 3, 7, 0, 20, 3, 10, 4, 1}
{1, 1, 3, 7, 0, 20, 3, 4, 10, 1}
{1, 1, 3, 7, 0, 2, 11, 18, 6, 1}
{1, 1, 3, 7, 0, 2, 11, 6, 18, 1}
{1, 1, 3, 5, 0, 5, 5, 25, 4, 1}
{1, 1, 3, 5, 0, 5, 5, 4, 25, 1}
{1, 1, 3, 5, 0, 2, 8, 16, 13, 1}
{1, 1, 3, 5, 0, 2, 8, 13, 16, 1}
{1, 1, 3, 3, 0, 2, 10, 19, 10, 1}
{1, 1, 3, 3, 0, 2, 10, 10, 19, 1}
{1, 1, 3, 2, 0, 2, 14, 13, 13, 1}
{1, 1, 2, 25, 0, 4, 1, 14, 1, 1}
{1, 1, 2, 25, 0, 4, 1, 1, 14, 1}
{1, 1, 2, 14, 0, 28, 1, 1, 1, 1}
{1, 1, 2, 14, 0, 4, 1, 25, 1, 1}
{1, 1, 2, 14, 0, 4, 1, 1, 25, 1}
{1, 1, 2, 8, 0, 10, 13, 10, 4, 1}
{1, 1, 2, 8, 0, 10, 13, 4, 10, 1}
{1, 1, 2, 7, 0, 11, 3, 14, 10, 1}
{1, 1, 2, 7, 0, 11, 3, 10, 14, 1}
{1, 1, 2, 6, 0, 8, 11, 16, 4, 1}
{1, 1, 2, 6, 0, 8, 11, 4, 16, 1}
{1, 1, 2, 3, 0, 2, 14, 13, 13, 1}
{1, 1, 2, 2, 0, 7, 6, 15, 15, 1}
{1, 1, 2, 2, 0, 4, 7, 16, 16, 1}
{1, 1, 1, 25, 0, 1, 4, 14, 2, 1}
{1, 1, 1, 25, 0, 1, 4, 2, 14, 1}
{1, 1, 1, 14, 0, 1, 4, 25, 2, 1}
{1, 1, 1, 14, 0, 1, 4, 2, 25, 1}
{1, 1, 1, 1, 0, 1, 28, 14, 2, 1}
{1, 1, 1, 1, 0, 1, 28, 2, 14, 1}
{1, 1, 1, 1, 0, 1, 19, 20, 5, 1}
{1, 1, 1, 1, 0, 1, 19, 5, 20, 1}
{1, 1, 1, 1, 0, 1, 8, 27, 9, 1}
{1, 1, 1, 1, 0, 1, 8, 9, 27, 1}
{12, 4, 12, 6, 0, 8, 2, 2, 2, 2}
{12, 4, 10, 10, 0, 6, 2, 2, 2, 2}
{12, 4, 8, 8, 0, 6, 4, 4, 2, 2}
{12, 4, 8, 8, 0, 6, 4, 2, 4, 2}
{12, 4, 8, 4, 0, 6, 4, 6, 4, 2}
{12, 4, 8, 4, 0, 6, 4, 4, 6, 2}
{12, 4, 6, 12, 0, 8, 2, 2, 2, 2}
{12, 4, 6, 4, 0, 4, 6, 8, 4, 2}
{12, 4, 6, 4, 0, 4, 6, 4, 8, 2}
{12, 4, 4, 8, 0, 6, 4, 6, 4, 2}
{12, 4, 4, 8, 0, 6, 4, 4, 6, 2}
{12, 4, 4, 6, 0, 4, 6, 8, 4, 2}
{12, 4, 4, 6, 0, 4, 6, 4, 8, 2}
{12, 4, 4, 2, 0, 4, 6, 8, 8, 2}
{12, 4, 2, 4, 0, 4, 6, 8, 8, 2}
{12, 4, 2, 2, 0, 2, 8, 12, 6, 2}
{12, 4, 2, 2, 0, 2, 8, 6, 12, 2}
{12, 4, 2, 2, 0, 2, 6, 10, 10, 2}
{10, 4, 8, 8, 0, 10, 2, 4, 2, 2}
{10, 4, 8, 8, 0, 10, 2, 2, 4, 2}
{10, 4, 8, 8, 0, 6, 6, 4, 2, 2}
{10, 4, 8, 8, 0, 6, 6, 2, 4, 2}
{10, 4, 4, 2, 0, 6, 6, 8, 8, 2}
{10, 4, 4, 2, 0, 2, 10, 8, 8, 2}
{10, 4, 2, 4, 0, 6, 6, 8, 8, 2}
{10, 4, 2, 4, 0, 2, 10, 8, 8, 2}
{10, 2, 14, 6, 0, 6, 2, 4, 4, 2}
{10, 2, 14, 6, 0, 4, 4, 4, 4, 2}
{10, 2, 12, 12, 0, 4, 4, 2, 2, 2}
{10, 2, 12, 6, 0, 4, 6, 6, 2, 2}
{10, 2, 12, 6, 0, 4, 6, 2, 6, 2}
{10, 2, 10, 10, 0, 4, 4, 6, 2, 2}
{10, 2, 10, 10, 0, 4, 4, 2, 6, 2}
{10, 2, 10, 2, 0, 2, 8, 8, 6, 2}
{10, 2, 10, 2, 0, 2, 8, 6, 8, 2}
{10, 2, 8, 6, 0, 8, 2, 10, 2, 2}
{10, 2, 8, 6, 0, 8, 2, 2, 10, 2}
{10, 2, 6, 14, 0, 6, 2, 4, 4, 2}
{10, 2, 6, 14, 0, 4, 4, 4, 4, 2}
{10, 2, 6, 12, 0, 4, 6, 6, 2, 2}
{10, 2, 6, 12, 0, 4, 6, 2, 6, 2}
{10, 2, 6, 8, 0, 8, 2, 10, 2, 2}
{10, 2, 6, 8, 0, 8, 2, 2, 10, 2}
{10, 2, 6, 4, 0, 14, 4, 4, 4, 2}
{10, 2, 6, 4, 0, 6, 12, 4, 4, 2}
{10, 2, 6, 2, 0, 6, 4, 12, 6, 2}
{10, 2, 6, 2, 0, 6, 4, 6, 12, 2}
{10, 2, 6, 2, 0, 4, 4, 10, 10, 2}
{10, 2, 4, 6, 0, 14, 4, 4, 4, 2}
{10, 2, 4, 6, 0, 6, 12, 4, 4, 2}
{10, 2, 4, 4, 0, 12, 6, 6, 4, 2}
{10, 2, 4, 4, 0, 12, 6, 4, 6, 2}
{10, 2, 4, 4, 0, 4, 14, 6, 4, 2}
{10, 2, 4, 4, 0, 4, 14, 4, 6, 2}
{10, 2, 4, 4, 0, 4, 4, 14, 6, 2}
{10, 2, 4, 4, 0, 4, 4, 6, 14, 2}
{10, 2, 4, 4, 0, 2, 6, 14, 6, 2}
{10, 2, 4, 4, 0, 2, 6, 6, 14, 2}
{10, 2, 2, 10, 0, 2, 8, 8, 6, 2}
{10, 2, 2, 10, 0, 2, 8, 6, 8, 2}
{10, 2, 2, 6, 0, 6, 4, 12, 6, 2}
{10, 2, 2, 6, 0, 6, 4, 6, 12, 2}
{10, 2, 2, 6, 0, 4, 4, 10, 10, 2}
{10, 2, 2, 2, 0, 4, 4, 12, 12, 2}
{8, 4, 14, 6, 0, 8, 4, 2, 2, 2}
{8, 4, 14, 6, 0, 6, 4, 4, 2, 2}
{8, 4, 14, 6, 0, 6, 4, 2, 4, 2}
{8, 4, 12, 6, 0, 4, 4, 6, 4, 2}
{8, 4, 12, 6, 0, 4, 4, 4, 6, 2}
{8, 4, 12, 4, 0, 4, 6, 6, 4, 2}
{8, 4, 12, 4, 0, 4, 6, 4, 6, 2}
{8, 4, 10, 2, 0, 4, 6, 8, 6, 2}
{8, 4, 10, 2, 0, 4, 6, 6, 8, 2}
{8, 4, 8, 6, 0, 14, 4, 2, 2, 2}
{8, 4, 8, 6, 0, 6, 4, 10, 2, 2}
{8, 4, 8, 6, 0, 6, 4, 2, 10, 2}
{8, 4, 6, 14, 0, 8, 4, 2, 2, 2}
{8, 4, 6, 14, 0, 6, 4, 4, 2, 2}
{8, 4, 6, 14, 0, 6, 4, 2, 4, 2}
{8, 4, 6, 12, 0, 4, 4, 6, 4, 2}
{8, 4, 6, 12, 0, 4, 4, 4, 6, 2}
{8, 4, 6, 8, 0, 14, 4, 2, 2, 2}
{8, 4, 6, 8, 0, 6, 4, 10, 2, 2}
{8, 4, 6, 8, 0, 6, 4, 2, 10, 2}
{8, 4, 6, 4, 0, 12, 4, 6, 4, 2}
{8, 4, 6, 4, 0, 12, 4, 4, 6, 2}
{8, 4, 6, 4, 0, 6, 4, 12, 4, 2}
{8, 4, 6, 4, 0, 6, 4, 4, 12, 2}
{8, 4, 6, 4, 0, 4, 12, 6, 4, 2}
{8, 4, 6, 4, 0, 4, 12, 4, 6, 2}
{8, 4, 6, 4, 0, 4, 4, 12, 6, 2}
{8, 4, 6, 4, 0, 4, 4, 6, 12, 2}
{8, 4, 4, 12, 0, 4, 6, 6, 4, 2}
{8, 4, 4, 12, 0, 4, 6, 4, 6, 2}
{8, 4, 4, 6, 0, 12, 4, 6, 4, 2}
{8, 4, 4, 6, 0, 12, 4, 4, 6, 2}
{8, 4, 4, 6, 0, 6, 4, 12, 4, 2}
{8, 4, 4, 6, 0, 6, 4, 4, 12, 2}
{8, 4, 4, 6, 0, 4, 12, 6, 4, 2}
{8, 4, 4, 6, 0, 4, 12, 4, 6, 2}
{8, 4, 4, 6, 0, 4, 4, 12, 6, 2}
{8, 4, 4, 6, 0, 4, 4, 6, 12, 2}
{8, 4, 4, 2, 0, 4, 6, 14, 6, 2}
{8, 4, 4, 2, 0, 4, 6, 6, 14, 2}
{8, 4, 2, 10, 0, 4, 6, 8, 6, 2}
{8, 4, 2, 10, 0, 4, 6, 6, 8, 2}
{8, 4, 2, 4, 0, 4, 6, 14, 6, 2}
{8, 4, 2, 4, 0, 4, 6, 6, 14, 2}
{8, 4, 2, 2, 0, 4, 14, 8, 6, 2}
{8, 4, 2, 2, 0, 4, 14, 6, 8, 2}
{8, 4, 2, 2, 0, 4, 8, 14, 6, 2}
{8, 4, 2, 2, 0, 4, 8, 6, 14, 2}
{6, 6, 12, 6, 0, 4, 6, 4, 4, 2}
{6, 6, 10, 10, 0, 4, 4, 4, 4, 2}
{6, 6, 6, 12, 0, 4, 6, 4, 4, 2}
{6, 6, 4, 4, 0, 6, 4, 12, 6, 2}
{6, 6, 4, 4, 0, 6, 4, 6, 12, 2}
{6, 6, 4, 4, 0, 4, 4, 10, 10, 2}
{6, 4, 14, 2, 0, 2, 12, 4, 4, 2}
{6, 4, 12, 6, 0, 4, 4, 8, 4, 2}
{6, 4, 12, 6, 0, 4, 4, 4, 8, 2}
{6, 4, 12, 6, 0, 2, 2, 8, 8, 2}
{6, 4, 12, 4, 0, 4, 6, 8, 4, 2}
{6, 4, 12, 4, 0, 4, 6, 4, 8, 2}
{6, 4, 10, 2, 0, 4, 6, 8, 8, 2}
{6, 4, 8, 8, 0, 14, 4, 2, 2, 2}
{6, 4, 8, 8, 0, 10, 8, 2, 2, 2}
{6, 4, 8, 8, 0, 6, 4, 10, 2, 2}
{6, 4, 8, 8, 0, 6, 4, 2, 10, 2}
{6, 4, 8, 8, 0, 2, 2, 12, 6, 2}
{6, 4, 8, 8, 0, 2, 2, 6, 12, 2}
{6, 4, 8, 4, 0, 12, 4, 6, 4, 2}
{6, 4, 8, 4, 0, 12, 4, 4, 6, 2}
{6, 4, 8, 4, 0, 6, 4, 12, 4, 2}
{6, 4, 8, 4, 0, 6, 4, 4, 12, 2}
{6, 4, 8, 4, 0, 4, 4, 12, 6, 2}
{6, 4, 8, 4, 0, 4, 4, 6, 12, 2}
{6, 4, 6, 12, 0, 4, 4, 8, 4, 2}
{6, 4, 6, 12, 0, 4, 4, 4, 8, 2}
{6, 4, 6, 12, 0, 2, 2, 8, 8, 2}
{6, 4, 6, 4, 0, 4, 12, 8, 4, 2}
{6, 4, 6, 4, 0, 4, 12, 4, 8, 2}
{6, 4, 4, 12, 0, 4, 6, 8, 4, 2}
{6, 4, 4, 12, 0, 4, 6, 4, 8, 2}
{6, 4, 4, 8, 0, 12, 4, 6, 4, 2}
{6, 4, 4, 8, 0, 12, 4, 4, 6, 2}
{6, 4, 4, 8, 0, 6, 4, 12, 4, 2}
{6, 4, 4, 8, 0, 6, 4, 4, 12, 2}
{6, 4, 4, 8, 0, 4, 4, 12, 6, 2}
{6, 4, 4, 8, 0, 4, 4, 6, 12, 2}
{6, 4, 4, 6, 0, 4, 12, 8, 4, 2}
{6, 4, 4, 6, 0, 4, 12, 4, 8, 2}
{6, 4, 4, 4, 0, 12, 2, 14, 2, 2}
{6, 4, 4, 4, 0, 12, 2, 2, 14, 2}
{6, 4, 2, 14, 0, 2, 12, 4, 4, 2}
{6, 4, 2, 10, 0, 4, 6, 8, 8, 2}
{6, 4, 2, 2, 0, 8, 10, 8, 8, 2}
{6, 4, 2, 2, 0, 4, 14, 8, 8, 2}
{6, 2, 18, 6, 0, 4, 6, 4, 2, 2}
{6, 2, 18, 6, 0, 4, 6, 2, 4, 2}
{6, 2, 16, 4, 0, 12, 2, 4, 2, 2}
{6, 2, 16, 4, 0, 12, 2, 2, 4, 2}
{6, 2, 12, 6, 0, 2, 12, 4, 4, 2}
{6, 2, 12, 4, 0, 12, 2, 8, 2, 2}
{6, 2, 12, 4, 0, 12, 2, 2, 8, 2}
{6, 2, 8, 2, 0, 2, 12, 12, 4, 2}
{6, 2, 8, 2, 0, 2, 12, 4, 12, 2}
{6, 2, 6, 18, 0, 4, 6, 4, 2, 2}
{6, 2, 6, 18, 0, 4, 6, 2, 4, 2}
{6, 2, 6, 12, 0, 2, 12, 4, 4, 2}
{6, 2, 4, 16, 0, 12, 2, 4, 2, 2}
{6, 2, 4, 16, 0, 12, 2, 2, 4, 2}
{6, 2, 4, 12, 0, 12, 2, 8, 2, 2}
{6, 2, 4, 12, 0, 12, 2, 2, 8, 2}
{6, 2, 4, 4, 0, 12, 2, 12, 6, 2}
{6, 2, 4, 4, 0, 12, 2, 6, 12, 2}
{6, 2, 4, 2, 0, 6, 4, 18, 6, 2}
{6, 2, 4, 2, 0, 6, 4, 6, 18, 2}
{6, 2, 4, 2, 0, 2, 12, 16, 4, 2}
{6, 2, 4, 2, 0, 2, 12, 4, 16, 2}
{6, 2, 2, 8, 0, 2, 12, 12, 4, 2}
{6, 2, 2, 8, 0, 2, 12, 4, 12, 2}
{6, 2, 2, 4, 0, 6, 4, 18, 6, 2}
{6, 2, 2, 4, 0, 6, 4, 6, 18, 2}
{6, 2, 2, 4, 0, 2, 12, 16, 4, 2}
{6, 2, 2, 4, 0, 2, 12, 4, 16, 2}
{4, 12, 12, 6, 0, 8, 2, 2, 2, 2}
{4, 12, 10, 10, 0, 6, 2, 2, 2, 2}
{4, 12, 8, 8, 0, 6, 4, 4, 2, 2}
{4, 12, 8, 8, 0, 6, 4, 2, 4, 2}
{4, 12, 8, 4, 0, 6, 4, 6, 4, 2}
{4, 12, 8, 4, 0, 6, 4, 4, 6, 2}
{4, 12, 6, 12, 0, 8, 2, 2, 2, 2}
{4, 12, 6, 4, 0, 4, 6, 8, 4, 2}
{4, 12, 6, 4, 0, 4, 6, 4, 8, 2}
{4, 12, 4, 8, 0, 6, 4, 6, 4, 2}
{4, 12, 4, 8, 0, 6, 4, 4, 6, 2}
{4, 12, 4, 6, 0, 4, 6, 8, 4, 2}
{4, 12, 4, 6, 0, 4, 6, 4, 8, 2}
{4, 12, 4, 2, 0, 4, 6, 8, 8, 2}
{4, 12, 2, 4, 0, 4, 6, 8, 8, 2}
{4, 12, 2, 2, 0, 2, 8, 12, 6, 2}
{4, 12, 2, 2, 0, 2, 8, 6, 12, 2}
{4, 12, 2, 2, 0, 2, 6, 10, 10, 2}
{4, 10, 8, 8, 0, 10, 2, 4, 2, 2}
{4, 10, 8, 8, 0, 10, 2, 2, 4, 2}
{4, 10, 8, 8, 0, 6, 6, 4, 2, 2}
{4, 10, 8, 8, 0, 6, 6, 2, 4, 2}
{4, 10, 4, 2, 0, 6, 6, 8, 8, 2}
{4, 10, 4, 2, 0, 2, 10, 8, 8, 2}
{4, 10, 2, 4, 0, 6, 6, 8, 8, 2}
{4, 10, 2, 4, 0, 2, 10, 8, 8, 2}
{4, 8, 14, 6, 0, 8, 4, 2, 2, 2}
{4, 8, 14, 6, 0, 6, 4, 4, 2, 2}
{4, 8, 14, 6, 0, 6, 4, 2, 4, 2}
{4, 8, 12, 6, 0, 4, 4, 6, 4, 2}
{4, 8, 12, 6, 0, 4, 4, 4, 6, 2}
{4, 8, 12, 4, 0, 4, 6, 6, 4, 2}
{4, 8, 12, 4, 0, 4, 6, 4, 6, 2}
{4, 8, 10, 2, 0, 4, 6, 8, 6, 2}
{4, 8, 10, 2, 0, 4, 6, 6, 8, 2}
{4, 8, 8, 6, 0, 14, 4, 2, 2, 2}
{4, 8, 8, 6, 0, 6, 4, 10, 2, 2}
{4, 8, 8, 6, 0, 6, 4, 2, 10, 2}
{4, 8, 6, 14, 0, 8, 4, 2, 2, 2}
{4, 8, 6, 14, 0, 6, 4, 4, 2, 2}
{4, 8, 6, 14, 0, 6, 4, 2, 4, 2}
{4, 8, 6, 12, 0, 4, 4, 6, 4, 2}
{4, 8, 6, 12, 0, 4, 4, 4, 6, 2}
{4, 8, 6, 8, 0, 14, 4, 2, 2, 2}
{4, 8, 6, 8, 0, 6, 4, 10, 2, 2}
{4, 8, 6, 8, 0, 6, 4, 2, 10, 2}
{4, 8, 6, 4, 0, 12, 4, 6, 4, 2}
{4, 8, 6, 4, 0, 12, 4, 4, 6, 2}
{4, 8, 6, 4, 0, 6, 4, 12, 4, 2}
{4, 8, 6, 4, 0, 6, 4, 4, 12, 2}
{4, 8, 6, 4, 0, 4, 12, 6, 4, 2}
{4, 8, 6, 4, 0, 4, 12, 4, 6, 2}
{4, 8, 6, 4, 0, 4, 4, 12, 6, 2}
{4, 8, 6, 4, 0, 4, 4, 6, 12, 2}
{4, 8, 4, 12, 0, 4, 6, 6, 4, 2}
{4, 8, 4, 12, 0, 4, 6, 4, 6, 2}
{4, 8, 4, 6, 0, 12, 4, 6, 4, 2}
{4, 8, 4, 6, 0, 12, 4, 4, 6, 2}
{4, 8, 4, 6, 0, 6, 4, 12, 4, 2}
{4, 8, 4, 6, 0, 6, 4, 4, 12, 2}
{4, 8, 4, 6, 0, 4, 12, 6, 4, 2}
{4, 8, 4, 6, 0, 4, 12, 4, 6, 2}
{4, 8, 4, 6, 0, 4, 4, 12, 6, 2}
{4, 8, 4, 6, 0, 4, 4, 6, 12, 2}
{4, 8, 4, 2, 0, 4, 6, 14, 6, 2}
{4, 8, 4, 2, 0, 4, 6, 6, 14, 2}
{4, 8, 2, 10, 0, 4, 6, 8, 6, 2}
{4, 8, 2, 10, 0, 4, 6, 6, 8, 2}
{4, 8, 2, 4, 0, 4, 6, 14, 6, 2}
{4, 8, 2, 4, 0, 4, 6, 6, 14, 2}
{4, 8, 2, 2, 0, 4, 14, 8, 6, 2}
{4, 8, 2, 2, 0, 4, 14, 6, 8, 2}
{4, 8, 2, 2, 0, 4, 8, 14, 6, 2}
{4, 8, 2, 2, 0, 4, 8, 6, 14, 2}
{4, 6, 14, 2, 0, 2, 12, 4, 4, 2}
{4, 6, 12, 6, 0, 4, 4, 8, 4, 2}
{4, 6, 12, 6, 0, 4, 4, 4, 8, 2}
{4, 6, 12, 6, 0, 2, 2, 8, 8, 2}
{4, 6, 12, 4, 0, 4, 6, 8, 4, 2}
{4, 6, 12, 4, 0, 4, 6, 4, 8, 2}
{4, 6, 10, 2, 0, 4, 6, 8, 8, 2}
{4, 6, 8, 8, 0, 14, 4, 2, 2, 2}
{4, 6, 8, 8, 0, 10, 8, 2, 2, 2}
{4, 6, 8, 8, 0, 6, 4, 10, 2, 2}
{4, 6, 8, 8, 0, 6, 4, 2, 10, 2}
{4, 6, 8, 8, 0, 2, 2, 12, 6, 2}
{4, 6, 8, 8, 0, 2, 2, 6, 12, 2}
{4, 6, 8, 4, 0, 12, 4, 6, 4, 2}
{4, 6, 8, 4, 0, 12, 4, 4, 6, 2}
{4, 6, 8, 4, 0, 6, 4, 12, 4, 2}
{4, 6, 8, 4, 0, 6, 4, 4, 12, 2}
{4, 6, 8, 4, 0, 4, 4, 12, 6, 2}
{4, 6, 8, 4, 0, 4, 4, 6, 12, 2}
{4, 6, 6, 12, 0, 4, 4, 8, 4, 2}
{4, 6, 6, 12, 0, 4, 4, 4, 8, 2}
{4, 6, 6, 12, 0, 2, 2, 8, 8, 2}
{4, 6, 6, 4, 0, 4, 12, 8, 4, 2}
{4, 6, 6, 4, 0, 4, 12, 4, 8, 2}
{4, 6, 4, 12, 0, 4, 6, 8, 4, 2}
{4, 6, 4, 12, 0, 4, 6, 4, 8, 2}
{4, 6, 4, 8, 0, 12, 4, 6, 4, 2}
{4, 6, 4, 8, 0, 12, 4, 4, 6, 2}
{4, 6, 4, 8, 0, 6, 4, 12, 4, 2}
{4, 6, 4, 8, 0, 6, 4, 4, 12, 2}
{4, 6, 4, 8, 0, 4, 4, 12, 6, 2}
{4, 6, 4, 8, 0, 4, 4, 6, 12, 2}
{4, 6, 4, 6, 0, 4, 12, 8, 4, 2}
{4, 6, 4, 6, 0, 4, 12, 4, 8, 2}
{4, 6, 4, 4, 0, 12, 2, 14, 2, 2}
{4, 6, 4, 4, 0, 12, 2, 2, 14, 2}
{4, 6, 2, 14, 0, 2, 12, 4, 4, 2}
{4, 6, 2, 10, 0, 4, 6, 8, 8, 2}
{4, 6, 2, 2, 0, 8, 10, 8, 8, 2}
{4, 6, 2, 2, 0, 4, 14, 8, 8, 2}
{4, 4, 18, 6, 0, 6, 2, 6, 2, 2}
{4, 4, 18, 6, 0, 6, 2, 2, 6, 2}
{4, 4, 18, 6, 0, 2, 6, 6, 2, 2}
{4, 4, 18, 6, 0, 2, 6, 2, 6, 2}
{4, 4, 12, 4, 0, 16, 2, 4, 2, 2}
{4, 4, 12, 4, 0, 16, 2, 2, 4, 2}
{4, 4, 12, 4, 0, 12, 6, 4, 2, 2}
{4, 4, 12, 4, 0, 12, 6, 2, 4, 2}
{4, 4, 12, 4, 0, 10, 8, 4, 2, 2}
{4, 4, 12, 4, 0, 10, 8, 2, 4, 2}
{4, 4, 12, 4, 0, 10, 2, 10, 2, 2}
{4, 4, 12, 4, 0, 10, 2, 2, 10, 2}
{4, 4, 12, 4, 0, 8, 10, 4, 2, 2}
{4, 4, 12, 4, 0, 8, 10, 2, 4, 2}
{4, 4, 12, 4, 0, 6, 12, 4, 2, 2}
{4, 4, 12, 4, 0, 6, 12, 2, 4, 2}
{4, 4, 12, 4, 0, 6, 2, 12, 4, 2}
{4, 4, 12, 4, 0, 6, 2, 4, 12, 2}
{4, 4, 12, 4, 0, 4, 14, 4, 2, 2}
{4, 4, 12, 4, 0, 4, 14, 2, 4, 2}
{4, 4, 12, 4, 0, 4, 8, 10, 2, 2}
{4, 4, 12, 4, 0, 4, 8, 2, 10, 2}
{4, 4, 12, 4, 0, 2, 16, 4, 2, 2}
{4, 4, 12, 4, 0, 2, 16, 2, 4, 2}
{4, 4, 12, 4, 0, 2, 10, 10, 2, 2}
{4, 4, 12, 4, 0, 2, 10, 2, 10, 2}
{4, 4, 12, 4, 0, 2, 6, 12, 4, 2}
{4, 4, 12, 4, 0, 2, 6, 4, 12, 2}
{4, 4, 10, 2, 0, 10, 2, 12, 4, 2}
{4, 4, 10, 2, 0, 10, 2, 4, 12, 2}
{4, 4, 10, 2, 0, 8, 4, 12, 4, 2}
{4, 4, 10, 2, 0, 8, 4, 4, 12, 2}
{4, 4, 10, 2, 0, 2, 10, 12, 4, 2}
{4, 4, 10, 2, 0, 2, 10, 4, 12, 2}
{4, 4, 6, 18, 0, 6, 2, 6, 2, 2}
{4, 4, 6, 18, 0, 6, 2, 2, 6, 2}
{4, 4, 6, 18, 0, 2, 6, 6, 2, 2}
{4, 4, 6, 18, 0, 2, 6, 2, 6, 2}
{4, 4, 6, 2, 0, 6, 2, 18, 6, 2}
{4, 4, 6, 2, 0, 6, 2, 6, 18, 2}
{4, 4, 6, 2, 0, 2, 6, 18, 6, 2}
{4, 4, 6, 2, 0, 2, 6, 6, 18, 2}
{4, 4, 4, 12, 0, 16, 2, 4, 2, 2}
{4, 4, 4, 12, 0, 16, 2, 2, 4, 2}
{4, 4, 4, 12, 0, 12, 6, 4, 2, 2}
{4, 4, 4, 12, 0, 12, 6, 2, 4, 2}
{4, 4, 4, 12, 0, 10, 8, 4, 2, 2}
{4, 4, 4, 12, 0, 10, 8, 2, 4, 2}
{4, 4, 4, 12, 0, 10, 2, 10, 2, 2}
{4, 4, 4, 12, 0, 10, 2, 2, 10, 2}
{4, 4, 4, 12, 0, 8, 10, 4, 2, 2}
{4, 4, 4, 12, 0, 8, 10, 2, 4, 2}
{4, 4, 4, 12, 0, 6, 12, 4, 2, 2}
{4, 4, 4, 12, 0, 6, 12, 2, 4, 2}
{4, 4, 4, 12, 0, 6, 2, 12, 4, 2}
{4, 4, 4, 12, 0, 6, 2, 4, 12, 2}
{4, 4, 4, 12, 0, 4, 14, 4, 2, 2}
{4, 4, 4, 12, 0, 4, 14, 2, 4, 2}
{4, 4, 4, 12, 0, 4, 8, 10, 2, 2}
{4, 4, 4, 12, 0, 4, 8, 2, 10, 2}
{4, 4, 4, 12, 0, 2, 16, 4, 2, 2}
{4, 4, 4, 12, 0, 2, 16, 2, 4, 2}
{4, 4, 4, 12, 0, 2, 10, 10, 2, 2}
{4, 4, 4, 12, 0, 2, 10, 2, 10, 2}
{4, 4, 4, 12, 0, 2, 6, 12, 4, 2}
{4, 4, 4, 12, 0, 2, 6, 4, 12, 2}
{4, 4, 4, 2, 0, 16, 2, 12, 4, 2}
{4, 4, 4, 2, 0, 16, 2, 4, 12, 2}
{4, 4, 4, 2, 0, 14, 4, 12, 4, 2}
{4, 4, 4, 2, 0, 14, 4, 4, 12, 2}
{4, 4, 4, 2, 0, 12, 6, 12, 4, 2}
{4, 4, 4, 2, 0, 12, 6, 4, 12, 2}
{4, 4, 4, 2, 0, 10, 8, 12, 4, 2}
{4, 4, 4, 2, 0, 10, 8, 4, 12, 2}
{4, 4, 4, 2, 0, 8, 10, 12, 4, 2}
{4, 4, 4, 2, 0, 8, 10, 4, 12, 2}
{4, 4, 4, 2, 0, 6, 12, 12, 4, 2}
{4, 4, 4, 2, 0, 6, 12, 4, 12, 2}
{4, 4, 4, 2, 0, 2, 16, 12, 4, 2}
{4, 4, 4, 2, 0, 2, 16, 4, 12, 2}
{4, 4, 2, 10, 0, 10, 2, 12, 4, 2}
{4, 4, 2, 10, 0, 10, 2, 4, 12, 2}
{4, 4, 2, 10, 0, 8, 4, 12, 4, 2}
{4, 4, 2, 10, 0, 8, 4, 4, 12, 2}
{4, 4, 2, 10, 0, 2, 10, 12, 4, 2}
{4, 4, 2, 10, 0, 2, 10, 4, 12, 2}
{4, 4, 2, 6, 0, 6, 2, 18, 6, 2}
{4, 4, 2, 6, 0, 6, 2, 6, 18, 2}
{4, 4, 2, 6, 0, 2, 6, 18, 6, 2}
{4, 4, 2, 6, 0, 2, 6, 6, 18, 2}
{4, 4, 2, 4, 0, 16, 2, 12, 4, 2}
{4, 4, 2, 4, 0, 16, 2, 4, 12, 2}
{4, 4, 2, 4, 0, 14, 4, 12, 4, 2}
{4, 4, 2, 4, 0, 14, 4, 4, 12, 2}
{4, 4, 2, 4, 0, 12, 6, 12, 4, 2}
{4, 4, 2, 4, 0, 12, 6, 4, 12, 2}
{4, 4, 2, 4, 0, 10, 8, 12, 4, 2}
{4, 4, 2, 4, 0, 10, 8, 4, 12, 2}
{4, 4, 2, 4, 0, 8, 10, 12, 4, 2}
{4, 4, 2, 4, 0, 8, 10, 4, 12, 2}
{4, 4, 2, 4, 0, 6, 12, 12, 4, 2}
{4, 4, 2, 4, 0, 6, 12, 4, 12, 2}
{4, 4, 2, 4, 0, 2, 16, 12, 4, 2}
{4, 4, 2, 4, 0, 2, 16, 4, 12, 2}
{4, 2, 12, 8, 0, 4, 4, 12, 2, 2}
{4, 2, 12, 8, 0, 4, 4, 2, 12, 2}
{4, 2, 12, 2, 0, 4, 4, 12, 8, 2}
{4, 2, 12, 2, 0, 4, 4, 8, 12, 2}
{4, 2, 8, 12, 0, 4, 4, 12, 2, 2}
{4, 2, 8, 12, 0, 4, 4, 2, 12, 2}
{4, 2, 2, 12, 0, 4, 4, 12, 8, 2}
{4, 2, 2, 12, 0, 4, 4, 8, 12, 2}
{2, 10, 14, 6, 0, 6, 2, 4, 4, 2}
{2, 10, 14, 6, 0, 4, 4, 4, 4, 2}
{2, 10, 12, 12, 0, 4, 4, 2, 2, 2}
{2, 10, 12, 6, 0, 4, 6, 6, 2, 2}
{2, 10, 12, 6, 0, 4, 6, 2, 6, 2}
{2, 10, 10, 10, 0, 4, 4, 6, 2, 2}
{2, 10, 10, 10, 0, 4, 4, 2, 6, 2}
{2, 10, 10, 2, 0, 2, 8, 8, 6, 2}
{2, 10, 10, 2, 0, 2, 8, 6, 8, 2}
{2, 10, 8, 6, 0, 8, 2, 10, 2, 2}
{2, 10, 8, 6, 0, 8, 2, 2, 10, 2}
{2, 10, 6, 14, 0, 6, 2, 4, 4, 2}
{2, 10, 6, 14, 0, 4, 4, 4, 4, 2}
{2, 10, 6, 12, 0, 4, 6, 6, 2, 2}
{2, 10, 6, 12, 0, 4, 6, 2, 6, 2}
{2, 10, 6, 8, 0, 8, 2, 10, 2, 2}
{2, 10, 6, 8, 0, 8, 2, 2, 10, 2}
{2, 10, 6, 4, 0, 14, 4, 4, 4, 2}
{2, 10, 6, 4, 0, 6, 12, 4, 4, 2}
{2, 10, 6, 2, 0, 6, 4, 12, 6, 2}
{2, 10, 6, 2, 0, 6, 4, 6, 12, 2}
{2, 10, 6, 2, 0, 4, 4, 10, 10, 2}
{2, 10, 4, 6, 0, 14, 4, 4, 4, 2}
{2, 10, 4, 6, 0, 6, 12, 4, 4, 2}
{2, 10, 4, 4, 0, 12, 6, 6, 4, 2}
{2, 10, 4, 4, 0, 12, 6, 4, 6, 2}
{2, 10, 4, 4, 0, 4, 14, 6, 4, 2}
{2, 10, 4, 4, 0, 4, 14, 4, 6, 2}
{2, 10, 4, 4, 0, 4, 4, 14, 6, 2}
{2, 10, 4, 4, 0, 4, 4, 6, 14, 2}
{2, 10, 4, 4, 0, 2, 6, 14, 6, 2}
{2, 10, 4, 4, 0, 2, 6, 6, 14, 2}
{2, 10, 2, 10, 0, 2, 8, 8, 6, 2}
{2, 10, 2, 10, 0, 2, 8, 6, 8, 2}
{2, 10, 2, 6, 0, 6, 4, 12, 6, 2}
{2, 10, 2, 6, 0, 6, 4, 6, 12, 2}
{2, 10, 2, 6, 0, 4, 4, 10, 10, 2}
{2, 10, 2, 2, 0, 4, 4, 12, 12, 2}
{2, 6, 18, 6, 0, 4, 6, 4, 2, 2}
{2, 6, 18, 6, 0, 4, 6, 2, 4, 2}
{2, 6, 16, 4, 0, 12, 2, 4, 2, 2}
{2, 6, 16, 4, 0, 12, 2, 2, 4, 2}
{2, 6, 12, 6, 0, 2, 12, 4, 4, 2}
{2, 6, 12, 4, 0, 12, 2, 8, 2, 2}
{2, 6, 12, 4, 0, 12, 2, 2, 8, 2}
{2, 6, 8, 2, 0, 2, 12, 12, 4, 2}
{2, 6, 8, 2, 0, 2, 12, 4, 12, 2}
{2, 6, 6, 18, 0, 4, 6, 4, 2, 2}
{2, 6, 6, 18, 0, 4, 6, 2, 4, 2}
{2, 6, 6, 12, 0, 2, 12, 4, 4, 2}
{2, 6, 4, 16, 0, 12, 2, 4, 2, 2}
{2, 6, 4, 16, 0, 12, 2, 2, 4, 2}
{2, 6, 4, 12, 0, 12, 2, 8, 2, 2}
{2, 6, 4, 12, 0, 12, 2, 2, 8, 2}
{2, 6, 4, 4, 0, 12, 2, 12, 6, 2}
{2, 6, 4, 4, 0, 12, 2, 6, 12, 2}
{2, 6, 4, 2, 0, 6, 4, 18, 6, 2}
{2, 6, 4, 2, 0, 6, 4, 6, 18, 2}
{2, 6, 4, 2, 0, 2, 12, 16, 4, 2}
{2, 6, 4, 2, 0, 2, 12, 4, 16, 2}
{2, 6, 2, 8, 0, 2, 12, 12, 4, 2}
{2, 6, 2, 8, 0, 2, 12, 4, 12, 2}
{2, 6, 2, 4, 0, 6, 4, 18, 6, 2}
{2, 6, 2, 4, 0, 6, 4, 6, 18, 2}
{2, 6, 2, 4, 0, 2, 12, 16, 4, 2}
{2, 6, 2, 4, 0, 2, 12, 4, 16, 2}
{2, 4, 12, 8, 0, 4, 4, 12, 2, 2}
{2, 4, 12, 8, 0, 4, 4, 2, 12, 2}
{2, 4, 12, 2, 0, 4, 4, 12, 8, 2}
{2, 4, 12, 2, 0, 4, 4, 8, 12, 2}
{2, 4, 8, 12, 0, 4, 4, 12, 2, 2}
{2, 4, 8, 12, 0, 4, 4, 2, 12, 2}
{2, 4, 2, 12, 0, 4, 4, 12, 8, 2}
{2, 4, 2, 12, 0, 4, 4, 8, 12, 2}
{2, 2, 18, 6, 0, 6, 2, 10, 2, 2}
{2, 2, 18, 6, 0, 6, 2, 2, 10, 2}
{2, 2, 18, 2, 0, 2, 8, 8, 6, 2}
{2, 2, 18, 2, 0, 2, 8, 6, 8, 2}
{2, 2, 16, 4, 0, 8, 10, 4, 2, 2}
{2, 2, 16, 4, 0, 8, 10, 2, 4, 2}
{2, 2, 14, 2, 0, 6, 6, 12, 4, 2}
{2, 2, 14, 2, 0, 6, 6, 4, 12, 2}
{2, 2, 12, 4, 0, 6, 12, 8, 2, 2}
{2, 2, 12, 4, 0, 6, 12, 2, 8, 2}
{2, 2, 12, 4, 0, 6, 6, 14, 2, 2}
{2, 2, 12, 4, 0, 6, 6, 2, 14, 2}
{2, 2, 10, 2, 0, 2, 6, 18, 6, 2}
{2, 2, 10, 2, 0, 2, 6, 6, 18, 2}
{2, 2, 8, 6, 0, 8, 2, 18, 2, 2}
{2, 2, 8, 6, 0, 8, 2, 2, 18, 2}
{2, 2, 8, 2, 0, 12, 6, 12, 4, 2}
{2, 2, 8, 2, 0, 12, 6, 4, 12, 2}
{2, 2, 6, 18, 0, 6, 2, 10, 2, 2}
{2, 2, 6, 18, 0, 6, 2, 2, 10, 2}
{2, 2, 6, 8, 0, 8, 2, 18, 2, 2}
{2, 2, 6, 8, 0, 8, 2, 2, 18, 2}
{2, 2, 4, 16, 0, 8, 10, 4, 2, 2}
{2, 2, 4, 16, 0, 8, 10, 2, 4, 2}
{2, 2, 4, 12, 0, 6, 12, 8, 2, 2}
{2, 2, 4, 12, 0, 6, 12, 2, 8, 2}
{2, 2, 4, 12, 0, 6, 6, 14, 2, 2}
{2, 2, 4, 12, 0, 6, 6, 2, 14, 2}
{2, 2, 4, 2, 0, 10, 8, 16, 4, 2}
{2, 2, 4, 2, 0, 10, 8, 4, 16, 2}
{2, 2, 2, 18, 0, 2, 8, 8, 6, 2}
{2, 2, 2, 18, 0, 2, 8, 6, 8, 2}
{2, 2, 2, 14, 0, 6, 6, 12, 4, 2}
{2, 2, 2, 14, 0, 6, 6, 4, 12, 2}
{2, 2, 2, 10, 0, 2, 6, 18, 6, 2}
{2, 2, 2, 10, 0, 2, 6, 6, 18, 2}
{2, 2, 2, 8, 0, 12, 6, 12, 4, 2}
{2, 2, 2, 8, 0, 12, 6, 4, 12, 2}
{2, 2, 2, 4, 0, 10, 8, 16, 4, 2}
{2, 2, 2, 4, 0, 10, 8, 4, 16, 2}