------- (9, 15, 1) Remaining distance distributions after General for EXTERNAL point (1, 15, 1) has 0 possible DDs: {} (2, 15, 1) has 1 possible DDs: {[0, 10, 5]} (3, 15, 1) has 8 possible DDs: {[0, 0, 15, 0], [0, 1, 13, 1], [0, 2, 11, 2], [0, 3, 9, 3], [0, 4, 7, 4], [0, 5, 5, 5], [0, 6, 3, 6], [0, 7, 1, 7]} (4, 15, 1) has 35 possible DDs: {[0, 0, 5, 10, 0], [0, 0, 6, 8, 1], [0, 0, 7, 6, 2], [0, 0, 8, 4, 3], [0, 0, 9, 2, 4], [0, 0, 10, 0, 5], [0, 1, 3, 11, 0], [0, 1, 4, 9, 1], [0, 1, 5, 7, 2], [0, 1, 6, 5, 3], [0, 1, 7, 3, 4], [0, 1, 8, 1, 5], [0, 2, 1, 12, 0], [0, 2, 2, 10, 1], [0, 2, 3, 8, 2], [0, 2, 4, 6, 3], [0, 2, 5, 4, 4], [0, 2, 6, 2, 5], [0, 2, 7, 0, 6], [0, 3, 0, 11, 1], [0, 3, 1, 9, 2], [0, 3, 2, 7, 3], [0, 3, 3, 5, 4], [0, 3, 4, 3, 5], [0, 3, 5, 1, 6], [0, 4, 0, 8, 3], [0, 4, 1, 6, 4], [0, 4, 2, 4, 5], [0, 4, 3, 2, 6], [0, 4, 4, 0, 7], [0, 5, 0, 5, 5], [0, 5, 1, 3, 6], [0, 5, 2, 1, 7], [0, 6, 0, 2, 7], [0, 6, 1, 0, 8]} (5, 15, 1) has 132 possible DDs: {[0, 0, 0, 10, 5, 0], [0, 0, 0, 11, 3, 1], [0, 0, 0, 12, 1, 2], [0, 0, 1, 8, 6, 0], [0, 0, 1, 9, 4, 1], [0, 0, 1, 10, 2, 2], [0, 0, 1, 11, 0, 3], [0, 0, 2, 6, 7, 0], [0, 0, 2, 7, 5, 1], [0, 0, 2, 8, 3, 2], [0, 0, 2, 9, 1, 3], [0, 0, 3, 4, 8, 0], [0, 0, 3, 5, 6, 1], [0, 0, 3, 6, 4, 2], [0, 0, 3, 7, 2, 3], [0, 0, 3, 8, 0, 4], [0, 0, 4, 2, 9, 0], [0, 0, 4, 3, 7, 1], [0, 0, 4, 4, 5, 2], [0, 0, 4, 5, 3, 3], [0, 0, 4, 6, 1, 4], [0, 0, 5, 0, 10, 0], [0, 0, 5, 1, 8, 1], [0, 0, 5, 2, 6, 2], [0, 0, 5, 3, 4, 3], [0, 0, 5, 4, 2, 4], [0, 0, 5, 5, 0, 5], [0, 0, 6, 0, 7, 2], [0, 0, 6, 1, 5, 3], [0, 0, 6, 2, 3, 4], [0, 0, 6, 3, 1, 5], [0, 0, 7, 0, 4, 4], [0, 0, 7, 1, 2, 5], [0, 0, 7, 2, 0, 6], [0, 0, 8, 0, 1, 6], [0, 1, 0, 7, 7, 0], [0, 1, 0, 8, 5, 1], [0, 1, 0, 9, 3, 2], [0, 1, 0, 10, 1, 3], [0, 1, 1, 5, 8, 0], [0, 1, 1, 6, 6, 1], [0, 1, 1, 7, 4, 2], [0, 1, 1, 8, 2, 3], [0, 1, 1, 9, 0, 4], [0, 1, 2, 3, 9, 0], [0, 1, 2, 4, 7, 1], [0, 1, 2, 5, 5, 2], [0, 1, 2, 6, 3, 3], [0, 1, 2, 7, 1, 4], [0, 1, 3, 1, 10, 0], [0, 1, 3, 2, 8, 1], [0, 1, 3, 3, 6, 2], [0, 1, 3, 4, 4, 3], [0, 1, 3, 5, 2, 4], [0, 1, 3, 6, 0, 5], [0, 1, 4, 0, 9, 1], [0, 1, 4, 1, 7, 2], [0, 1, 4, 2, 5, 3], [0, 1, 4, 3, 3, 4], [0, 1, 4, 4, 1, 5], [0, 1, 5, 0, 6, 3], [0, 1, 5, 1, 4, 4], [0, 1, 5, 2, 2, 5], [0, 1, 5, 3, 0, 6], [0, 1, 6, 0, 3, 5], [0, 1, 6, 1, 1, 6], [0, 1, 7, 0, 0, 7], [0, 2, 0, 4, 9, 0], [0, 2, 0, 5, 7, 1], [0, 2, 0, 6, 5, 2], [0, 2, 0, 7, 3, 3], [0, 2, 0, 8, 1, 4], [0, 2, 1, 2, 10, 0], [0, 2, 1, 3, 8, 1], [0, 2, 1, 4, 6, 2], [0, 2, 1, 5, 4, 3], [0, 2, 1, 6, 2, 4], [0, 2, 1, 7, 0, 5], [0, 2, 2, 0, 11, 0], [0, 2, 2, 1, 9, 1], [0, 2, 2, 2, 7, 2], [0, 2, 2, 3, 5, 3], [0, 2, 2, 4, 3, 4], [0, 2, 2, 5, 1, 5], [0, 2, 3, 0, 8, 2], [0, 2, 3, 1, 6, 3], [0, 2, 3, 2, 4, 4], [0, 2, 3, 3, 2, 5], [0, 2, 3, 4, 0, 6], [0, 2, 4, 0, 5, 4], [0, 2, 4, 1, 3, 5], [0, 2, 4, 2, 1, 6], [0, 2, 5, 0, 2, 6], [0, 2, 5, 1, 0, 7], [0, 3, 0, 1, 11, 0], [0, 3, 0, 2, 9, 1], [0, 3, 0, 3, 7, 2], [0, 3, 0, 4, 5, 3], [0, 3, 0, 5, 3, 4], [0, 3, 0, 6, 1, 5], [0, 3, 1, 0, 10, 1], [0, 3, 1, 1, 8, 2], [0, 3, 1, 2, 6, 3], [0, 3, 1, 3, 4, 4], [0, 3, 1, 4, 2, 5], [0, 3, 1, 5, 0, 6], [0, 3, 2, 0, 7, 3], [0, 3, 2, 1, 5, 4], [0, 3, 2, 2, 3, 5], [0, 3, 2, 3, 1, 6], [0, 3, 3, 0, 4, 5], [0, 3, 3, 1, 2, 6], [0, 3, 3, 2, 0, 7], [0, 3, 4, 0, 1, 7], [0, 4, 0, 0, 9, 2], [0, 4, 0, 1, 7, 3], [0, 4, 0, 2, 5, 4], [0, 4, 0, 3, 3, 5], [0, 4, 0, 4, 1, 6], [0, 4, 1, 0, 6, 4], [0, 4, 1, 1, 4, 5], [0, 4, 1, 2, 2, 6], [0, 4, 1, 3, 0, 7], [0, 4, 2, 0, 3, 6], [0, 4, 2, 1, 1, 7], [0, 4, 3, 0, 0, 8], [0, 5, 0, 0, 5, 5], [0, 5, 0, 1, 3, 6], [0, 5, 0, 2, 1, 7], [0, 5, 1, 0, 2, 7], [0, 5, 1, 1, 0, 8], [0, 6, 0, 0, 1, 8]} (6, 15, 1) has 433 possible DDs: {[0, 0, 0, 0, 15, 0, 0], [0, 0, 0, 1, 13, 1, 0], [0, 0, 0, 2, 11, 2, 0], [0, 0, 0, 2, 12, 0, 1], [0, 0, 0, 3, 9, 3, 0], [0, 0, 0, 3, 10, 1, 1], [0, 0, 0, 4, 7, 4, 0], [0, 0, 0, 4, 8, 2, 1], [0, 0, 0, 4, 9, 0, 2], [0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 5, 6, 3, 1], [0, 0, 0, 5, 7, 1, 2], [0, 0, 0, 6, 3, 6, 0], [0, 0, 0, 6, 4, 4, 1], [0, 0, 0, 6, 5, 2, 2], [0, 0, 0, 6, 6, 0, 3], [0, 0, 0, 7, 1, 7, 0], [0, 0, 0, 7, 2, 5, 1], [0, 0, 0, 7, 3, 3, 2], [0, 0, 0, 7, 4, 1, 3], [0, 0, 0, 8, 0, 6, 1], [0, 0, 0, 8, 1, 4, 2], [0, 0, 0, 8, 2, 2, 3], [0, 0, 0, 8, 3, 0, 4], [0, 0, 0, 9, 0, 3, 3], [0, 0, 0, 9, 1, 1, 4], [0, 0, 0, 10, 0, 0, 5], [0, 0, 1, 0, 12, 2, 0], [0, 0, 1, 0, 13, 0, 1], [0, 0, 1, 1, 10, 3, 0], [0, 0, 1, 1, 11, 1, 1], [0, 0, 1, 2, 8, 4, 0], [0, 0, 1, 2, 9, 2, 1], [0, 0, 1, 2, 10, 0, 2], [0, 0, 1, 3, 6, 5, 0], [0, 0, 1, 3, 7, 3, 1], [0, 0, 1, 3, 8, 1, 2], [0, 0, 1, 4, 4, 6, 0], [0, 0, 1, 4, 5, 4, 1], [0, 0, 1, 4, 6, 2, 2], [0, 0, 1, 4, 7, 0, 3], [0, 0, 1, 5, 2, 7, 0], [0, 0, 1, 5, 3, 5, 1], [0, 0, 1, 5, 4, 3, 2], [0, 0, 1, 5, 5, 1, 3], [0, 0, 1, 6, 0, 8, 0], [0, 0, 1, 6, 1, 6, 1], [0, 0, 1, 6, 2, 4, 2], [0, 0, 1, 6, 3, 2, 3], [0, 0, 1, 6, 4, 0, 4], [0, 0, 1, 7, 0, 5, 2], [0, 0, 1, 7, 1, 3, 3], [0, 0, 1, 7, 2, 1, 4], [0, 0, 1, 8, 0, 2, 4], [0, 0, 1, 8, 1, 0, 5], [0, 0, 2, 0, 9, 4, 0], [0, 0, 2, 0, 10, 2, 1], [0, 0, 2, 0, 11, 0, 2], [0, 0, 2, 1, 7, 5, 0], [0, 0, 2, 1, 8, 3, 1], [0, 0, 2, 1, 9, 1, 2], [0, 0, 2, 2, 5, 6, 0], [0, 0, 2, 2, 6, 4, 1], [0, 0, 2, 2, 7, 2, 2], [0, 0, 2, 2, 8, 0, 3], [0, 0, 2, 3, 3, 7, 0], [0, 0, 2, 3, 4, 5, 1], [0, 0, 2, 3, 5, 3, 2], [0, 0, 2, 3, 6, 1, 3], [0, 0, 2, 4, 1, 8, 0], [0, 0, 2, 4, 2, 6, 1], [0, 0, 2, 4, 3, 4, 2], [0, 0, 2, 4, 4, 2, 3], [0, 0, 2, 4, 5, 0, 4], [0, 0, 2, 5, 0, 7, 1], [0, 0, 2, 5, 1, 5, 2], [0, 0, 2, 5, 2, 3, 3], [0, 0, 2, 5, 3, 1, 4], [0, 0, 2, 6, 0, 4, 3], [0, 0, 2, 6, 1, 2, 4], [0, 0, 2, 6, 2, 0, 5], [0, 0, 2, 7, 0, 1, 5], [0, 0, 3, 0, 6, 6, 0], [0, 0, 3, 0, 7, 4, 1], [0, 0, 3, 0, 8, 2, 2], [0, 0, 3, 0, 9, 0, 3], [0, 0, 3, 1, 4, 7, 0], [0, 0, 3, 1, 5, 5, 1], [0, 0, 3, 1, 6, 3, 2], [0, 0, 3, 1, 7, 1, 3], [0, 0, 3, 2, 2, 8, 0], [0, 0, 3, 2, 3, 6, 1], [0, 0, 3, 2, 4, 4, 2], [0, 0, 3, 2, 5, 2, 3], [0, 0, 3, 2, 6, 0, 4], [0, 0, 3, 3, 0, 9, 0], [0, 0, 3, 3, 1, 7, 1], [0, 0, 3, 3, 2, 5, 2], [0, 0, 3, 3, 3, 3, 3], [0, 0, 3, 3, 4, 1, 4], [0, 0, 3, 4, 0, 6, 2], [0, 0, 3, 4, 1, 4, 3], [0, 0, 3, 4, 2, 2, 4], [0, 0, 3, 4, 3, 0, 5], [0, 0, 3, 5, 0, 3, 4], [0, 0, 3, 5, 1, 1, 5], [0, 0, 3, 6, 0, 0, 6], [0, 0, 4, 0, 3, 8, 0], [0, 0, 4, 0, 4, 6, 1], [0, 0, 4, 0, 5, 4, 2], [0, 0, 4, 0, 6, 2, 3], [0, 0, 4, 0, 7, 0, 4], [0, 0, 4, 1, 1, 9, 0], [0, 0, 4, 1, 2, 7, 1], [0, 0, 4, 1, 3, 5, 2], [0, 0, 4, 1, 4, 3, 3], [0, 0, 4, 1, 5, 1, 4], [0, 0, 4, 2, 0, 8, 1], [0, 0, 4, 2, 1, 6, 2], [0, 0, 4, 2, 2, 4, 3], [0, 0, 4, 2, 3, 2, 4], [0, 0, 4, 2, 4, 0, 5], [0, 0, 4, 3, 0, 5, 3], [0, 0, 4, 3, 1, 3, 4], [0, 0, 4, 3, 2, 1, 5], [0, 0, 4, 4, 0, 2, 5], [0, 0, 4, 4, 1, 0, 6], [0, 0, 5, 0, 0, 10, 0], [0, 0, 5, 0, 1, 8, 1], [0, 0, 5, 0, 2, 6, 2], [0, 0, 5, 0, 3, 4, 3], [0, 0, 5, 0, 4, 2, 4], [0, 0, 5, 0, 5, 0, 5], [0, 0, 5, 1, 0, 7, 2], [0, 0, 5, 1, 1, 5, 3], [0, 0, 5, 1, 2, 3, 4], [0, 0, 5, 1, 3, 1, 5], [0, 0, 5, 2, 0, 4, 4], [0, 0, 5, 2, 1, 2, 5], [0, 0, 5, 2, 2, 0, 6], [0, 0, 5, 3, 0, 1, 6], [0, 0, 6, 0, 0, 6, 3], [0, 0, 6, 0, 1, 4, 4], [0, 0, 6, 0, 2, 2, 5], [0, 0, 6, 0, 3, 0, 6], [0, 0, 6, 1, 0, 3, 5], [0, 0, 6, 1, 1, 1, 6], [0, 0, 6, 2, 0, 0, 7], [0, 0, 7, 0, 0, 2, 6], [0, 0, 7, 0, 1, 0, 7], [0, 1, 0, 0, 11, 3, 0], [0, 1, 0, 0, 12, 1, 1], [0, 1, 0, 1, 9, 4, 0], [0, 1, 0, 1, 10, 2, 1], [0, 1, 0, 1, 11, 0, 2], [0, 1, 0, 2, 7, 5, 0], [0, 1, 0, 2, 8, 3, 1], [0, 1, 0, 2, 9, 1, 2], [0, 1, 0, 3, 5, 6, 0], [0, 1, 0, 3, 6, 4, 1], [0, 1, 0, 3, 7, 2, 2], [0, 1, 0, 3, 8, 0, 3], [0, 1, 0, 4, 3, 7, 0], [0, 1, 0, 4, 4, 5, 1], [0, 1, 0, 4, 5, 3, 2], [0, 1, 0, 4, 6, 1, 3], [0, 1, 0, 5, 1, 8, 0], [0, 1, 0, 5, 2, 6, 1], [0, 1, 0, 5, 3, 4, 2], [0, 1, 0, 5, 4, 2, 3], [0, 1, 0, 5, 5, 0, 4], [0, 1, 0, 6, 0, 7, 1], [0, 1, 0, 6, 1, 5, 2], [0, 1, 0, 6, 2, 3, 3], [0, 1, 0, 6, 3, 1, 4], [0, 1, 0, 7, 0, 4, 3], [0, 1, 0, 7, 1, 2, 4], [0, 1, 0, 7, 2, 0, 5], [0, 1, 0, 8, 0, 1, 5], [0, 1, 1, 0, 8, 5, 0], [0, 1, 1, 0, 9, 3, 1], [0, 1, 1, 0, 10, 1, 2], [0, 1, 1, 1, 6, 6, 0], [0, 1, 1, 1, 7, 4, 1], [0, 1, 1, 1, 8, 2, 2], [0, 1, 1, 1, 9, 0, 3], [0, 1, 1, 2, 4, 7, 0], [0, 1, 1, 2, 5, 5, 1], [0, 1, 1, 2, 6, 3, 2], [0, 1, 1, 2, 7, 1, 3], [0, 1, 1, 3, 2, 8, 0], [0, 1, 1, 3, 3, 6, 1], [0, 1, 1, 3, 4, 4, 2], [0, 1, 1, 3, 5, 2, 3], [0, 1, 1, 3, 6, 0, 4], [0, 1, 1, 4, 0, 9, 0], [0, 1, 1, 4, 1, 7, 1], [0, 1, 1, 4, 2, 5, 2], [0, 1, 1, 4, 3, 3, 3], [0, 1, 1, 4, 4, 1, 4], [0, 1, 1, 5, 0, 6, 2], [0, 1, 1, 5, 1, 4, 3], [0, 1, 1, 5, 2, 2, 4], [0, 1, 1, 5, 3, 0, 5], [0, 1, 1, 6, 0, 3, 4], [0, 1, 1, 6, 1, 1, 5], [0, 1, 1, 7, 0, 0, 6], [0, 1, 2, 0, 5, 7, 0], [0, 1, 2, 0, 6, 5, 1], [0, 1, 2, 0, 7, 3, 2], [0, 1, 2, 0, 8, 1, 3], [0, 1, 2, 1, 3, 8, 0], [0, 1, 2, 1, 4, 6, 1], [0, 1, 2, 1, 5, 4, 2], [0, 1, 2, 1, 6, 2, 3], [0, 1, 2, 1, 7, 0, 4], [0, 1, 2, 2, 1, 9, 0], [0, 1, 2, 2, 2, 7, 1], [0, 1, 2, 2, 3, 5, 2], [0, 1, 2, 2, 4, 3, 3], [0, 1, 2, 2, 5, 1, 4], [0, 1, 2, 3, 0, 8, 1], [0, 1, 2, 3, 1, 6, 2], [0, 1, 2, 3, 2, 4, 3], [0, 1, 2, 3, 3, 2, 4], [0, 1, 2, 3, 4, 0, 5], [0, 1, 2, 4, 0, 5, 3], [0, 1, 2, 4, 1, 3, 4], [0, 1, 2, 4, 2, 1, 5], [0, 1, 2, 5, 0, 2, 5], [0, 1, 2, 5, 1, 0, 6], [0, 1, 3, 0, 2, 9, 0], [0, 1, 3, 0, 3, 7, 1], [0, 1, 3, 0, 4, 5, 2], [0, 1, 3, 0, 5, 3, 3], [0, 1, 3, 0, 6, 1, 4], [0, 1, 3, 1, 0, 10, 0], [0, 1, 3, 1, 1, 8, 1], [0, 1, 3, 1, 2, 6, 2], [0, 1, 3, 1, 3, 4, 3], [0, 1, 3, 1, 4, 2, 4], [0, 1, 3, 1, 5, 0, 5], [0, 1, 3, 2, 0, 7, 2], [0, 1, 3, 2, 1, 5, 3], [0, 1, 3, 2, 2, 3, 4], [0, 1, 3, 2, 3, 1, 5], [0, 1, 3, 3, 0, 4, 4], [0, 1, 3, 3, 1, 2, 5], [0, 1, 3, 3, 2, 0, 6], [0, 1, 3, 4, 0, 1, 6], [0, 1, 4, 0, 0, 9, 1], [0, 1, 4, 0, 1, 7, 2], [0, 1, 4, 0, 2, 5, 3], [0, 1, 4, 0, 3, 3, 4], [0, 1, 4, 0, 4, 1, 5], [0, 1, 4, 1, 0, 6, 3], [0, 1, 4, 1, 1, 4, 4], [0, 1, 4, 1, 2, 2, 5], [0, 1, 4, 1, 3, 0, 6], [0, 1, 4, 2, 0, 3, 5], [0, 1, 4, 2, 1, 1, 6], [0, 1, 4, 3, 0, 0, 7], [0, 1, 5, 0, 0, 5, 4], [0, 1, 5, 0, 1, 3, 5], [0, 1, 5, 0, 2, 1, 6], [0, 1, 5, 1, 0, 2, 6], [0, 1, 5, 1, 1, 0, 7], [0, 1, 6, 0, 0, 1, 7], [0, 2, 0, 0, 7, 6, 0], [0, 2, 0, 0, 8, 4, 1], [0, 2, 0, 0, 9, 2, 2], [0, 2, 0, 0, 10, 0, 3], [0, 2, 0, 1, 5, 7, 0], [0, 2, 0, 1, 6, 5, 1], [0, 2, 0, 1, 7, 3, 2], [0, 2, 0, 1, 8, 1, 3], [0, 2, 0, 2, 3, 8, 0], [0, 2, 0, 2, 4, 6, 1], [0, 2, 0, 2, 5, 4, 2], [0, 2, 0, 2, 6, 2, 3], [0, 2, 0, 2, 7, 0, 4], [0, 2, 0, 3, 1, 9, 0], [0, 2, 0, 3, 2, 7, 1], [0, 2, 0, 3, 3, 5, 2], [0, 2, 0, 3, 4, 3, 3], [0, 2, 0, 3, 5, 1, 4], [0, 2, 0, 4, 0, 8, 1], [0, 2, 0, 4, 1, 6, 2], [0, 2, 0, 4, 2, 4, 3], [0, 2, 0, 4, 3, 2, 4], [0, 2, 0, 4, 4, 0, 5], [0, 2, 0, 5, 0, 5, 3], [0, 2, 0, 5, 1, 3, 4], [0, 2, 0, 5, 2, 1, 5], [0, 2, 0, 6, 0, 2, 5], [0, 2, 0, 6, 1, 0, 6], [0, 2, 1, 0, 4, 8, 0], [0, 2, 1, 0, 5, 6, 1], [0, 2, 1, 0, 6, 4, 2], [0, 2, 1, 0, 7, 2, 3], [0, 2, 1, 0, 8, 0, 4], [0, 2, 1, 1, 2, 9, 0], [0, 2, 1, 1, 3, 7, 1], [0, 2, 1, 1, 4, 5, 2], [0, 2, 1, 1, 5, 3, 3], [0, 2, 1, 1, 6, 1, 4], [0, 2, 1, 2, 0, 10, 0], [0, 2, 1, 2, 1, 8, 1], [0, 2, 1, 2, 2, 6, 2], [0, 2, 1, 2, 3, 4, 3], [0, 2, 1, 2, 4, 2, 4], [0, 2, 1, 2, 5, 0, 5], [0, 2, 1, 3, 0, 7, 2], [0, 2, 1, 3, 1, 5, 3], [0, 2, 1, 3, 2, 3, 4], [0, 2, 1, 3, 3, 1, 5], [0, 2, 1, 4, 0, 4, 4], [0, 2, 1, 4, 1, 2, 5], [0, 2, 1, 4, 2, 0, 6], [0, 2, 1, 5, 0, 1, 6], [0, 2, 2, 0, 1, 10, 0], [0, 2, 2, 0, 2, 8, 1], [0, 2, 2, 0, 3, 6, 2], [0, 2, 2, 0, 4, 4, 3], [0, 2, 2, 0, 5, 2, 4], [0, 2, 2, 0, 6, 0, 5], [0, 2, 2, 1, 0, 9, 1], [0, 2, 2, 1, 1, 7, 2], [0, 2, 2, 1, 2, 5, 3], [0, 2, 2, 1, 3, 3, 4], [0, 2, 2, 1, 4, 1, 5], [0, 2, 2, 2, 0, 6, 3], [0, 2, 2, 2, 1, 4, 4], [0, 2, 2, 2, 2, 2, 5], [0, 2, 2, 2, 3, 0, 6], [0, 2, 2, 3, 0, 3, 5], [0, 2, 2, 3, 1, 1, 6], [0, 2, 2, 4, 0, 0, 7], [0, 2, 3, 0, 0, 8, 2], [0, 2, 3, 0, 1, 6, 3], [0, 2, 3, 0, 2, 4, 4], [0, 2, 3, 0, 3, 2, 5], [0, 2, 3, 0, 4, 0, 6], [0, 2, 3, 1, 0, 5, 4], [0, 2, 3, 1, 1, 3, 5], [0, 2, 3, 1, 2, 1, 6], [0, 2, 3, 2, 0, 2, 6], [0, 2, 3, 2, 1, 0, 7], [0, 2, 4, 0, 0, 4, 5], [0, 2, 4, 0, 1, 2, 6], [0, 2, 4, 0, 2, 0, 7], [0, 2, 4, 1, 0, 1, 7], [0, 2, 5, 0, 0, 0, 8], [0, 3, 0, 0, 3, 9, 0], [0, 3, 0, 0, 4, 7, 1], [0, 3, 0, 0, 5, 5, 2], [0, 3, 0, 0, 6, 3, 3], [0, 3, 0, 0, 7, 1, 4], [0, 3, 0, 1, 1, 10, 0], [0, 3, 0, 1, 2, 8, 1], [0, 3, 0, 1, 3, 6, 2], [0, 3, 0, 1, 4, 4, 3], [0, 3, 0, 1, 5, 2, 4], [0, 3, 0, 1, 6, 0, 5], [0, 3, 0, 2, 0, 9, 1], [0, 3, 0, 2, 1, 7, 2], [0, 3, 0, 2, 2, 5, 3], [0, 3, 0, 2, 3, 3, 4], [0, 3, 0, 2, 4, 1, 5], [0, 3, 0, 3, 0, 6, 3], [0, 3, 0, 3, 1, 4, 4], [0, 3, 0, 3, 2, 2, 5], [0, 3, 0, 3, 3, 0, 6], [0, 3, 0, 4, 0, 3, 5], [0, 3, 0, 4, 1, 1, 6], [0, 3, 0, 5, 0, 0, 7], [0, 3, 1, 0, 0, 11, 0], [0, 3, 1, 0, 1, 9, 1], [0, 3, 1, 0, 2, 7, 2], [0, 3, 1, 0, 3, 5, 3], [0, 3, 1, 0, 4, 3, 4], [0, 3, 1, 0, 5, 1, 5], [0, 3, 1, 1, 0, 8, 2], [0, 3, 1, 1, 1, 6, 3], [0, 3, 1, 1, 2, 4, 4], [0, 3, 1, 1, 3, 2, 5], [0, 3, 1, 1, 4, 0, 6], [0, 3, 1, 2, 0, 5, 4], [0, 3, 1, 2, 1, 3, 5], [0, 3, 1, 2, 2, 1, 6], [0, 3, 1, 3, 0, 2, 6], [0, 3, 1, 3, 1, 0, 7], [0, 3, 2, 0, 0, 7, 3], [0, 3, 2, 0, 1, 5, 4], [0, 3, 2, 0, 2, 3, 5], [0, 3, 2, 0, 3, 1, 6], [0, 3, 2, 1, 0, 4, 5], [0, 3, 2, 1, 1, 2, 6], [0, 3, 2, 1, 2, 0, 7], [0, 3, 2, 2, 0, 1, 7], [0, 3, 3, 0, 0, 3, 6], [0, 3, 3, 0, 1, 1, 7], [0, 3, 3, 1, 0, 0, 8], [0, 4, 0, 0, 0, 10, 1], [0, 4, 0, 0, 1, 8, 2], [0, 4, 0, 0, 2, 6, 3], [0, 4, 0, 0, 3, 4, 4], [0, 4, 0, 0, 4, 2, 5], [0, 4, 0, 0, 5, 0, 6], [0, 4, 0, 1, 0, 7, 3], [0, 4, 0, 1, 1, 5, 4], [0, 4, 0, 1, 2, 3, 5], [0, 4, 0, 1, 3, 1, 6], [0, 4, 0, 2, 0, 4, 5], [0, 4, 0, 2, 1, 2, 6], [0, 4, 0, 2, 2, 0, 7], [0, 4, 0, 3, 0, 1, 7], [0, 4, 1, 0, 0, 6, 4], [0, 4, 1, 0, 1, 4, 5], [0, 4, 1, 0, 2, 2, 6], [0, 4, 1, 0, 3, 0, 7], [0, 4, 1, 1, 0, 3, 6], [0, 4, 1, 1, 1, 1, 7], [0, 4, 1, 2, 0, 0, 8], [0, 4, 2, 0, 0, 2, 7], [0, 4, 2, 0, 1, 0, 8], [0, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 1, 3, 6], [0, 5, 0, 0, 2, 1, 7], [0, 5, 0, 1, 0, 2, 7], [0, 5, 0, 1, 1, 0, 8], [0, 5, 1, 0, 0, 1, 8], [0, 6, 0, 0, 0, 0, 9]} (7, 15, 1) has 1244 possible DDs: {[0, 0, 0, 0, 5, 10, 0, 0], [0, 0, 0, 0, 6, 8, 1, 0], [0, 0, 0, 0, 7, 6, 2, 0], [0, 0, 0, 0, 7, 7, 0, 1], [0, 0, 0, 0, 8, 4, 3, 0], [0, 0, 0, 0, 8, 5, 1, 1], [0, 0, 0, 0, 9, 2, 4, 0], [0, 0, 0, 0, 9, 3, 2, 1], [0, 0, 0, 0, 9, 4, 0, 2], [0, 0, 0, 0, 10, 0, 5, 0], [0, 0, 0, 0, 10, 1, 3, 1], [0, 0, 0, 0, 10, 2, 1, 2], [0, 0, 0, 0, 11, 0, 2, 2], [0, 0, 0, 0, 11, 1, 0, 3], [0, 0, 0, 1, 3, 11, 0, 0], [0, 0, 0, 1, 4, 9, 1, 0], [0, 0, 0, 1, 5, 7, 2, 0], [0, 0, 0, 1, 5, 8, 0, 1], [0, 0, 0, 1, 6, 5, 3, 0], [0, 0, 0, 1, 6, 6, 1, 1], [0, 0, 0, 1, 7, 3, 4, 0], [0, 0, 0, 1, 7, 4, 2, 1], [0, 0, 0, 1, 7, 5, 0, 2], [0, 0, 0, 1, 8, 1, 5, 0], [0, 0, 0, 1, 8, 2, 3, 1], [0, 0, 0, 1, 8, 3, 1, 2], [0, 0, 0, 1, 9, 0, 4, 1], [0, 0, 0, 1, 9, 1, 2, 2], [0, 0, 0, 1, 9, 2, 0, 3], [0, 0, 0, 1, 10, 0, 1, 3], [0, 0, 0, 2, 1, 12, 0, 0], [0, 0, 0, 2, 2, 10, 1, 0], [0, 0, 0, 2, 3, 8, 2, 0], [0, 0, 0, 2, 3, 9, 0, 1], [0, 0, 0, 2, 4, 6, 3, 0], [0, 0, 0, 2, 4, 7, 1, 1], [0, 0, 0, 2, 5, 4, 4, 0], [0, 0, 0, 2, 5, 5, 2, 1], [0, 0, 0, 2, 5, 6, 0, 2], [0, 0, 0, 2, 6, 2, 5, 0], [0, 0, 0, 2, 6, 3, 3, 1], [0, 0, 0, 2, 6, 4, 1, 2], [0, 0, 0, 2, 7, 0, 6, 0], [0, 0, 0, 2, 7, 1, 4, 1], [0, 0, 0, 2, 7, 2, 2, 2], [0, 0, 0, 2, 7, 3, 0, 3], [0, 0, 0, 2, 8, 0, 3, 2], [0, 0, 0, 2, 8, 1, 1, 3], [0, 0, 0, 2, 9, 0, 0, 4], [0, 0, 0, 3, 0, 11, 1, 0], [0, 0, 0, 3, 1, 9, 2, 0], [0, 0, 0, 3, 1, 10, 0, 1], [0, 0, 0, 3, 2, 7, 3, 0], [0, 0, 0, 3, 2, 8, 1, 1], [0, 0, 0, 3, 3, 5, 4, 0], [0, 0, 0, 3, 3, 6, 2, 1], [0, 0, 0, 3, 3, 7, 0, 2], [0, 0, 0, 3, 4, 3, 5, 0], [0, 0, 0, 3, 4, 4, 3, 1], [0, 0, 0, 3, 4, 5, 1, 2], [0, 0, 0, 3, 5, 1, 6, 0], [0, 0, 0, 3, 5, 2, 4, 1], [0, 0, 0, 3, 5, 3, 2, 2], [0, 0, 0, 3, 5, 4, 0, 3], [0, 0, 0, 3, 6, 0, 5, 1], [0, 0, 0, 3, 6, 1, 3, 2], [0, 0, 0, 3, 6, 2, 1, 3], [0, 0, 0, 3, 7, 0, 2, 3], [0, 0, 0, 3, 7, 1, 0, 4], [0, 0, 0, 4, 0, 8, 3, 0], [0, 0, 0, 4, 0, 9, 1, 1], [0, 0, 0, 4, 1, 6, 4, 0], [0, 0, 0, 4, 1, 7, 2, 1], [0, 0, 0, 4, 1, 8, 0, 2], [0, 0, 0, 4, 2, 4, 5, 0], [0, 0, 0, 4, 2, 5, 3, 1], [0, 0, 0, 4, 2, 6, 1, 2], [0, 0, 0, 4, 3, 2, 6, 0], [0, 0, 0, 4, 3, 3, 4, 1], [0, 0, 0, 4, 3, 4, 2, 2], [0, 0, 0, 4, 3, 5, 0, 3], [0, 0, 0, 4, 4, 0, 7, 0], [0, 0, 0, 4, 4, 1, 5, 1], [0, 0, 0, 4, 4, 2, 3, 2], [0, 0, 0, 4, 4, 3, 1, 3], [0, 0, 0, 4, 5, 0, 4, 2], [0, 0, 0, 4, 5, 1, 2, 3], [0, 0, 0, 4, 5, 2, 0, 4], [0, 0, 0, 4, 6, 0, 1, 4], [0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 0, 6, 3, 1], [0, 0, 0, 5, 0, 7, 1, 2], [0, 0, 0, 5, 1, 3, 6, 0], [0, 0, 0, 5, 1, 4, 4, 1], [0, 0, 0, 5, 1, 5, 2, 2], [0, 0, 0, 5, 1, 6, 0, 3], [0, 0, 0, 5, 2, 1, 7, 0], [0, 0, 0, 5, 2, 2, 5, 1], [0, 0, 0, 5, 2, 3, 3, 2], [0, 0, 0, 5, 2, 4, 1, 3], [0, 0, 0, 5, 3, 0, 6, 1], [0, 0, 0, 5, 3, 1, 4, 2], [0, 0, 0, 5, 3, 2, 2, 3], [0, 0, 0, 5, 3, 3, 0, 4], [0, 0, 0, 5, 4, 0, 3, 3], [0, 0, 0, 5, 4, 1, 1, 4], [0, 0, 0, 5, 5, 0, 0, 5], [0, 0, 0, 6, 0, 2, 7, 0], [0, 0, 0, 6, 0, 3, 5, 1], [0, 0, 0, 6, 0, 4, 3, 2], [0, 0, 0, 6, 0, 5, 1, 3], [0, 0, 0, 6, 1, 0, 8, 0], [0, 0, 0, 6, 1, 1, 6, 1], [0, 0, 0, 6, 1, 2, 4, 2], [0, 0, 0, 6, 1, 3, 2, 3], [0, 0, 0, 6, 1, 4, 0, 4], [0, 0, 0, 6, 2, 0, 5, 2], [0, 0, 0, 6, 2, 1, 3, 3], [0, 0, 0, 6, 2, 2, 1, 4], [0, 0, 0, 6, 3, 0, 2, 4], [0, 0, 0, 6, 3, 1, 0, 5], [0, 0, 0, 7, 0, 0, 7, 1], [0, 0, 0, 7, 0, 1, 5, 2], [0, 0, 0, 7, 0, 2, 3, 3], [0, 0, 0, 7, 0, 3, 1, 4], [0, 0, 0, 7, 1, 0, 4, 3], [0, 0, 0, 7, 1, 1, 2, 4], [0, 0, 0, 7, 1, 2, 0, 5], [0, 0, 0, 7, 2, 0, 1, 5], [0, 0, 0, 8, 0, 0, 3, 4], [0, 0, 0, 8, 0, 1, 1, 5], [0, 0, 0, 8, 1, 0, 0, 6], [0, 0, 1, 0, 2, 12, 0, 0], [0, 0, 1, 0, 3, 10, 1, 0], [0, 0, 1, 0, 4, 8, 2, 0], [0, 0, 1, 0, 4, 9, 0, 1], [0, 0, 1, 0, 5, 6, 3, 0], [0, 0, 1, 0, 5, 7, 1, 1], [0, 0, 1, 0, 6, 4, 4, 0], [0, 0, 1, 0, 6, 5, 2, 1], [0, 0, 1, 0, 6, 6, 0, 2], [0, 0, 1, 0, 7, 2, 5, 0], [0, 0, 1, 0, 7, 3, 3, 1], [0, 0, 1, 0, 7, 4, 1, 2], [0, 0, 1, 0, 8, 0, 6, 0], [0, 0, 1, 0, 8, 1, 4, 1], [0, 0, 1, 0, 8, 2, 2, 2], [0, 0, 1, 0, 8, 3, 0, 3], [0, 0, 1, 0, 9, 0, 3, 2], [0, 0, 1, 0, 9, 1, 1, 3], [0, 0, 1, 0, 10, 0, 0, 4], [0, 0, 1, 1, 0, 13, 0, 0], [0, 0, 1, 1, 1, 11, 1, 0], [0, 0, 1, 1, 2, 9, 2, 0], [0, 0, 1, 1, 2, 10, 0, 1], [0, 0, 1, 1, 3, 7, 3, 0], [0, 0, 1, 1, 3, 8, 1, 1], [0, 0, 1, 1, 4, 5, 4, 0], [0, 0, 1, 1, 4, 6, 2, 1], [0, 0, 1, 1, 4, 7, 0, 2], [0, 0, 1, 1, 5, 3, 5, 0], [0, 0, 1, 1, 5, 4, 3, 1], [0, 0, 1, 1, 5, 5, 1, 2], [0, 0, 1, 1, 6, 1, 6, 0], [0, 0, 1, 1, 6, 2, 4, 1], [0, 0, 1, 1, 6, 3, 2, 2], [0, 0, 1, 1, 6, 4, 0, 3], [0, 0, 1, 1, 7, 0, 5, 1], [0, 0, 1, 1, 7, 1, 3, 2], [0, 0, 1, 1, 7, 2, 1, 3], [0, 0, 1, 1, 8, 0, 2, 3], [0, 0, 1, 1, 8, 1, 0, 4], [0, 0, 1, 2, 0, 10, 2, 0], [0, 0, 1, 2, 0, 11, 0, 1], [0, 0, 1, 2, 1, 8, 3, 0], [0, 0, 1, 2, 1, 9, 1, 1], [0, 0, 1, 2, 2, 6, 4, 0], [0, 0, 1, 2, 2, 7, 2, 1], [0, 0, 1, 2, 2, 8, 0, 2], [0, 0, 1, 2, 3, 4, 5, 0], [0, 0, 1, 2, 3, 5, 3, 1], [0, 0, 1, 2, 3, 6, 1, 2], [0, 0, 1, 2, 4, 2, 6, 0], [0, 0, 1, 2, 4, 3, 4, 1], [0, 0, 1, 2, 4, 4, 2, 2], [0, 0, 1, 2, 4, 5, 0, 3], [0, 0, 1, 2, 5, 0, 7, 0], [0, 0, 1, 2, 5, 1, 5, 1], [0, 0, 1, 2, 5, 2, 3, 2], [0, 0, 1, 2, 5, 3, 1, 3], [0, 0, 1, 2, 6, 0, 4, 2], [0, 0, 1, 2, 6, 1, 2, 3], [0, 0, 1, 2, 6, 2, 0, 4], [0, 0, 1, 2, 7, 0, 1, 4], [0, 0, 1, 3, 0, 7, 4, 0], [0, 0, 1, 3, 0, 8, 2, 1], [0, 0, 1, 3, 0, 9, 0, 2], [0, 0, 1, 3, 1, 5, 5, 0], [0, 0, 1, 3, 1, 6, 3, 1], [0, 0, 1, 3, 1, 7, 1, 2], [0, 0, 1, 3, 2, 3, 6, 0], [0, 0, 1, 3, 2, 4, 4, 1], [0, 0, 1, 3, 2, 5, 2, 2], [0, 0, 1, 3, 2, 6, 0, 3], [0, 0, 1, 3, 3, 1, 7, 0], [0, 0, 1, 3, 3, 2, 5, 1], [0, 0, 1, 3, 3, 3, 3, 2], [0, 0, 1, 3, 3, 4, 1, 3], [0, 0, 1, 3, 4, 0, 6, 1], [0, 0, 1, 3, 4, 1, 4, 2], [0, 0, 1, 3, 4, 2, 2, 3], [0, 0, 1, 3, 4, 3, 0, 4], [0, 0, 1, 3, 5, 0, 3, 3], [0, 0, 1, 3, 5, 1, 1, 4], [0, 0, 1, 3, 6, 0, 0, 5], [0, 0, 1, 4, 0, 4, 6, 0], [0, 0, 1, 4, 0, 5, 4, 1], [0, 0, 1, 4, 0, 6, 2, 2], [0, 0, 1, 4, 0, 7, 0, 3], [0, 0, 1, 4, 1, 2, 7, 0], [0, 0, 1, 4, 1, 3, 5, 1], [0, 0, 1, 4, 1, 4, 3, 2], [0, 0, 1, 4, 1, 5, 1, 3], [0, 0, 1, 4, 2, 0, 8, 0], [0, 0, 1, 4, 2, 1, 6, 1], [0, 0, 1, 4, 2, 2, 4, 2], [0, 0, 1, 4, 2, 3, 2, 3], [0, 0, 1, 4, 2, 4, 0, 4], [0, 0, 1, 4, 3, 0, 5, 2], [0, 0, 1, 4, 3, 1, 3, 3], [0, 0, 1, 4, 3, 2, 1, 4], [0, 0, 1, 4, 4, 0, 2, 4], [0, 0, 1, 4, 4, 1, 0, 5], [0, 0, 1, 5, 0, 1, 8, 0], [0, 0, 1, 5, 0, 2, 6, 1], [0, 0, 1, 5, 0, 3, 4, 2], [0, 0, 1, 5, 0, 4, 2, 3], [0, 0, 1, 5, 0, 5, 0, 4], [0, 0, 1, 5, 1, 0, 7, 1], [0, 0, 1, 5, 1, 1, 5, 2], [0, 0, 1, 5, 1, 2, 3, 3], [0, 0, 1, 5, 1, 3, 1, 4], [0, 0, 1, 5, 2, 0, 4, 3], [0, 0, 1, 5, 2, 1, 2, 4], [0, 0, 1, 5, 2, 2, 0, 5], [0, 0, 1, 5, 3, 0, 1, 5], [0, 0, 1, 6, 0, 0, 6, 2], [0, 0, 1, 6, 0, 1, 4, 3], [0, 0, 1, 6, 0, 2, 2, 4], [0, 0, 1, 6, 0, 3, 0, 5], [0, 0, 1, 6, 1, 0, 3, 4], [0, 0, 1, 6, 1, 1, 1, 5], [0, 0, 1, 6, 2, 0, 0, 6], [0, 0, 1, 7, 0, 0, 2, 5], [0, 0, 1, 7, 0, 1, 0, 6], [0, 0, 2, 0, 0, 12, 1, 0], [0, 0, 2, 0, 1, 10, 2, 0], [0, 0, 2, 0, 1, 11, 0, 1], [0, 0, 2, 0, 2, 8, 3, 0], [0, 0, 2, 0, 2, 9, 1, 1], [0, 0, 2, 0, 3, 6, 4, 0], [0, 0, 2, 0, 3, 7, 2, 1], [0, 0, 2, 0, 3, 8, 0, 2], [0, 0, 2, 0, 4, 4, 5, 0], [0, 0, 2, 0, 4, 5, 3, 1], [0, 0, 2, 0, 4, 6, 1, 2], [0, 0, 2, 0, 5, 2, 6, 0], [0, 0, 2, 0, 5, 3, 4, 1], [0, 0, 2, 0, 5, 4, 2, 2], [0, 0, 2, 0, 5, 5, 0, 3], [0, 0, 2, 0, 6, 0, 7, 0], [0, 0, 2, 0, 6, 1, 5, 1], [0, 0, 2, 0, 6, 2, 3, 2], [0, 0, 2, 0, 6, 3, 1, 3], [0, 0, 2, 0, 7, 0, 4, 2], [0, 0, 2, 0, 7, 1, 2, 3], [0, 0, 2, 0, 7, 2, 0, 4], [0, 0, 2, 0, 8, 0, 1, 4], [0, 0, 2, 1, 0, 9, 3, 0], [0, 0, 2, 1, 0, 10, 1, 1], [0, 0, 2, 1, 1, 7, 4, 0], [0, 0, 2, 1, 1, 8, 2, 1], [0, 0, 2, 1, 1, 9, 0, 2], [0, 0, 2, 1, 2, 5, 5, 0], [0, 0, 2, 1, 2, 6, 3, 1], [0, 0, 2, 1, 2, 7, 1, 2], [0, 0, 2, 1, 3, 3, 6, 0], [0, 0, 2, 1, 3, 4, 4, 1], [0, 0, 2, 1, 3, 5, 2, 2], [0, 0, 2, 1, 3, 6, 0, 3], [0, 0, 2, 1, 4, 1, 7, 0], [0, 0, 2, 1, 4, 2, 5, 1], [0, 0, 2, 1, 4, 3, 3, 2], [0, 0, 2, 1, 4, 4, 1, 3], [0, 0, 2, 1, 5, 0, 6, 1], [0, 0, 2, 1, 5, 1, 4, 2], [0, 0, 2, 1, 5, 2, 2, 3], [0, 0, 2, 1, 5, 3, 0, 4], [0, 0, 2, 1, 6, 0, 3, 3], [0, 0, 2, 1, 6, 1, 1, 4], [0, 0, 2, 1, 7, 0, 0, 5], [0, 0, 2, 2, 0, 6, 5, 0], [0, 0, 2, 2, 0, 7, 3, 1], [0, 0, 2, 2, 0, 8, 1, 2], [0, 0, 2, 2, 1, 4, 6, 0], [0, 0, 2, 2, 1, 5, 4, 1], [0, 0, 2, 2, 1, 6, 2, 2], [0, 0, 2, 2, 1, 7, 0, 3], [0, 0, 2, 2, 2, 2, 7, 0], [0, 0, 2, 2, 2, 3, 5, 1], [0, 0, 2, 2, 2, 4, 3, 2], [0, 0, 2, 2, 2, 5, 1, 3], [0, 0, 2, 2, 3, 0, 8, 0], [0, 0, 2, 2, 3, 1, 6, 1], [0, 0, 2, 2, 3, 2, 4, 2], [0, 0, 2, 2, 3, 3, 2, 3], [0, 0, 2, 2, 3, 4, 0, 4], [0, 0, 2, 2, 4, 0, 5, 2], [0, 0, 2, 2, 4, 1, 3, 3], [0, 0, 2, 2, 4, 2, 1, 4], [0, 0, 2, 2, 5, 0, 2, 4], [0, 0, 2, 2, 5, 1, 0, 5], [0, 0, 2, 3, 0, 3, 7, 0], [0, 0, 2, 3, 0, 4, 5, 1], [0, 0, 2, 3, 0, 5, 3, 2], [0, 0, 2, 3, 0, 6, 1, 3], [0, 0, 2, 3, 1, 1, 8, 0], [0, 0, 2, 3, 1, 2, 6, 1], [0, 0, 2, 3, 1, 3, 4, 2], [0, 0, 2, 3, 1, 4, 2, 3], [0, 0, 2, 3, 1, 5, 0, 4], [0, 0, 2, 3, 2, 0, 7, 1], [0, 0, 2, 3, 2, 1, 5, 2], [0, 0, 2, 3, 2, 2, 3, 3], [0, 0, 2, 3, 2, 3, 1, 4], [0, 0, 2, 3, 3, 0, 4, 3], [0, 0, 2, 3, 3, 1, 2, 4], [0, 0, 2, 3, 3, 2, 0, 5], [0, 0, 2, 3, 4, 0, 1, 5], [0, 0, 2, 4, 0, 0, 9, 0], [0, 0, 2, 4, 0, 1, 7, 1], [0, 0, 2, 4, 0, 2, 5, 2], [0, 0, 2, 4, 0, 3, 3, 3], [0, 0, 2, 4, 0, 4, 1, 4], [0, 0, 2, 4, 1, 0, 6, 2], [0, 0, 2, 4, 1, 1, 4, 3], [0, 0, 2, 4, 1, 2, 2, 4], [0, 0, 2, 4, 1, 3, 0, 5], [0, 0, 2, 4, 2, 0, 3, 4], [0, 0, 2, 4, 2, 1, 1, 5], [0, 0, 2, 4, 3, 0, 0, 6], [0, 0, 2, 5, 0, 0, 5, 3], [0, 0, 2, 5, 0, 1, 3, 4], [0, 0, 2, 5, 0, 2, 1, 5], [0, 0, 2, 5, 1, 0, 2, 5], [0, 0, 2, 5, 1, 1, 0, 6], [0, 0, 2, 6, 0, 0, 1, 6], [0, 0, 3, 0, 0, 8, 4, 0], [0, 0, 3, 0, 0, 9, 2, 1], [0, 0, 3, 0, 0, 10, 0, 2], [0, 0, 3, 0, 1, 6, 5, 0], [0, 0, 3, 0, 1, 7, 3, 1], [0, 0, 3, 0, 1, 8, 1, 2], [0, 0, 3, 0, 2, 4, 6, 0], [0, 0, 3, 0, 2, 5, 4, 1], [0, 0, 3, 0, 2, 6, 2, 2], [0, 0, 3, 0, 2, 7, 0, 3], [0, 0, 3, 0, 3, 2, 7, 0], [0, 0, 3, 0, 3, 3, 5, 1], [0, 0, 3, 0, 3, 4, 3, 2], [0, 0, 3, 0, 3, 5, 1, 3], [0, 0, 3, 0, 4, 0, 8, 0], [0, 0, 3, 0, 4, 1, 6, 1], [0, 0, 3, 0, 4, 2, 4, 2], [0, 0, 3, 0, 4, 3, 2, 3], [0, 0, 3, 0, 4, 4, 0, 4], [0, 0, 3, 0, 5, 0, 5, 2], [0, 0, 3, 0, 5, 1, 3, 3], [0, 0, 3, 0, 5, 2, 1, 4], [0, 0, 3, 0, 6, 0, 2, 4], [0, 0, 3, 0, 6, 1, 0, 5], [0, 0, 3, 1, 0, 5, 6, 0], [0, 0, 3, 1, 0, 6, 4, 1], [0, 0, 3, 1, 0, 7, 2, 2], [0, 0, 3, 1, 0, 8, 0, 3], [0, 0, 3, 1, 1, 3, 7, 0], [0, 0, 3, 1, 1, 4, 5, 1], [0, 0, 3, 1, 1, 5, 3, 2], [0, 0, 3, 1, 1, 6, 1, 3], [0, 0, 3, 1, 2, 1, 8, 0], [0, 0, 3, 1, 2, 2, 6, 1], [0, 0, 3, 1, 2, 3, 4, 2], [0, 0, 3, 1, 2, 4, 2, 3], [0, 0, 3, 1, 2, 5, 0, 4], [0, 0, 3, 1, 3, 0, 7, 1], [0, 0, 3, 1, 3, 1, 5, 2], [0, 0, 3, 1, 3, 2, 3, 3], [0, 0, 3, 1, 3, 3, 1, 4], [0, 0, 3, 1, 4, 0, 4, 3], [0, 0, 3, 1, 4, 1, 2, 4], [0, 0, 3, 1, 4, 2, 0, 5], [0, 0, 3, 1, 5, 0, 1, 5], [0, 0, 3, 2, 0, 2, 8, 0], [0, 0, 3, 2, 0, 3, 6, 1], [0, 0, 3, 2, 0, 4, 4, 2], [0, 0, 3, 2, 0, 5, 2, 3], [0, 0, 3, 2, 0, 6, 0, 4], [0, 0, 3, 2, 1, 0, 9, 0], [0, 0, 3, 2, 1, 1, 7, 1], [0, 0, 3, 2, 1, 2, 5, 2], [0, 0, 3, 2, 1, 3, 3, 3], [0, 0, 3, 2, 1, 4, 1, 4], [0, 0, 3, 2, 2, 0, 6, 2], [0, 0, 3, 2, 2, 1, 4, 3], [0, 0, 3, 2, 2, 2, 2, 4], [0, 0, 3, 2, 2, 3, 0, 5], [0, 0, 3, 2, 3, 0, 3, 4], [0, 0, 3, 2, 3, 1, 1, 5], [0, 0, 3, 2, 4, 0, 0, 6], [0, 0, 3, 3, 0, 0, 8, 1], [0, 0, 3, 3, 0, 1, 6, 2], [0, 0, 3, 3, 0, 2, 4, 3], [0, 0, 3, 3, 0, 3, 2, 4], [0, 0, 3, 3, 0, 4, 0, 5], [0, 0, 3, 3, 1, 0, 5, 3], [0, 0, 3, 3, 1, 1, 3, 4], [0, 0, 3, 3, 1, 2, 1, 5], [0, 0, 3, 3, 2, 0, 2, 5], [0, 0, 3, 3, 2, 1, 0, 6], [0, 0, 3, 4, 0, 0, 4, 4], [0, 0, 3, 4, 0, 1, 2, 5], [0, 0, 3, 4, 0, 2, 0, 6], [0, 0, 3, 4, 1, 0, 1, 6], [0, 0, 3, 5, 0, 0, 0, 7], [0, 0, 4, 0, 0, 4, 7, 0], [0, 0, 4, 0, 0, 5, 5, 1], [0, 0, 4, 0, 0, 6, 3, 2], [0, 0, 4, 0, 0, 7, 1, 3], [0, 0, 4, 0, 1, 2, 8, 0], [0, 0, 4, 0, 1, 3, 6, 1], [0, 0, 4, 0, 1, 4, 4, 2], [0, 0, 4, 0, 1, 5, 2, 3], [0, 0, 4, 0, 1, 6, 0, 4], [0, 0, 4, 0, 2, 0, 9, 0], [0, 0, 4, 0, 2, 1, 7, 1], [0, 0, 4, 0, 2, 2, 5, 2], [0, 0, 4, 0, 2, 3, 3, 3], [0, 0, 4, 0, 2, 4, 1, 4], [0, 0, 4, 0, 3, 0, 6, 2], [0, 0, 4, 0, 3, 1, 4, 3], [0, 0, 4, 0, 3, 2, 2, 4], [0, 0, 4, 0, 3, 3, 0, 5], [0, 0, 4, 0, 4, 0, 3, 4], [0, 0, 4, 0, 4, 1, 1, 5], [0, 0, 4, 0, 5, 0, 0, 6], [0, 0, 4, 1, 0, 1, 9, 0], [0, 0, 4, 1, 0, 2, 7, 1], [0, 0, 4, 1, 0, 3, 5, 2], [0, 0, 4, 1, 0, 4, 3, 3], [0, 0, 4, 1, 0, 5, 1, 4], [0, 0, 4, 1, 1, 0, 8, 1], [0, 0, 4, 1, 1, 1, 6, 2], [0, 0, 4, 1, 1, 2, 4, 3], [0, 0, 4, 1, 1, 3, 2, 4], [0, 0, 4, 1, 1, 4, 0, 5], [0, 0, 4, 1, 2, 0, 5, 3], [0, 0, 4, 1, 2, 1, 3, 4], [0, 0, 4, 1, 2, 2, 1, 5], [0, 0, 4, 1, 3, 0, 2, 5], [0, 0, 4, 1, 3, 1, 0, 6], [0, 0, 4, 2, 0, 0, 7, 2], [0, 0, 4, 2, 0, 1, 5, 3], [0, 0, 4, 2, 0, 2, 3, 4], [0, 0, 4, 2, 0, 3, 1, 5], [0, 0, 4, 2, 1, 0, 4, 4], [0, 0, 4, 2, 1, 1, 2, 5], [0, 0, 4, 2, 1, 2, 0, 6], [0, 0, 4, 2, 2, 0, 1, 6], [0, 0, 4, 3, 0, 0, 3, 5], [0, 0, 4, 3, 0, 1, 1, 6], [0, 0, 4, 3, 1, 0, 0, 7], [0, 0, 5, 0, 0, 0, 10, 0], [0, 0, 5, 0, 0, 1, 8, 1], [0, 0, 5, 0, 0, 2, 6, 2], [0, 0, 5, 0, 0, 3, 4, 3], [0, 0, 5, 0, 0, 4, 2, 4], [0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 1, 0, 7, 2], [0, 0, 5, 0, 1, 1, 5, 3], [0, 0, 5, 0, 1, 2, 3, 4], [0, 0, 5, 0, 1, 3, 1, 5], [0, 0, 5, 0, 2, 0, 4, 4], [0, 0, 5, 0, 2, 1, 2, 5], [0, 0, 5, 0, 2, 2, 0, 6], [0, 0, 5, 0, 3, 0, 1, 6], [0, 0, 5, 1, 0, 0, 6, 3], [0, 0, 5, 1, 0, 1, 4, 4], [0, 0, 5, 1, 0, 2, 2, 5], [0, 0, 5, 1, 0, 3, 0, 6], [0, 0, 5, 1, 1, 0, 3, 5], [0, 0, 5, 1, 1, 1, 1, 6], [0, 0, 5, 1, 2, 0, 0, 7], [0, 0, 5, 2, 0, 0, 2, 6], [0, 0, 5, 2, 0, 1, 0, 7], [0, 0, 6, 0, 0, 0, 5, 4], [0, 0, 6, 0, 0, 1, 3, 5], [0, 0, 6, 0, 0, 2, 1, 6], [0, 0, 6, 0, 1, 0, 2, 6], [0, 0, 6, 0, 1, 1, 0, 7], [0, 0, 6, 1, 0, 0, 1, 7], [0, 0, 7, 0, 0, 0, 0, 8], [0, 1, 0, 0, 1, 13, 0, 0], [0, 1, 0, 0, 2, 11, 1, 0], [0, 1, 0, 0, 3, 9, 2, 0], [0, 1, 0, 0, 3, 10, 0, 1], [0, 1, 0, 0, 4, 7, 3, 0], [0, 1, 0, 0, 4, 8, 1, 1], [0, 1, 0, 0, 5, 5, 4, 0], [0, 1, 0, 0, 5, 6, 2, 1], [0, 1, 0, 0, 5, 7, 0, 2], [0, 1, 0, 0, 6, 3, 5, 0], [0, 1, 0, 0, 6, 4, 3, 1], [0, 1, 0, 0, 6, 5, 1, 2], [0, 1, 0, 0, 7, 1, 6, 0], [0, 1, 0, 0, 7, 2, 4, 1], [0, 1, 0, 0, 7, 3, 2, 2], [0, 1, 0, 0, 7, 4, 0, 3], [0, 1, 0, 0, 8, 0, 5, 1], [0, 1, 0, 0, 8, 1, 3, 2], [0, 1, 0, 0, 8, 2, 1, 3], [0, 1, 0, 0, 9, 0, 2, 3], [0, 1, 0, 0, 9, 1, 0, 4], [0, 1, 0, 1, 0, 12, 1, 0], [0, 1, 0, 1, 1, 10, 2, 0], [0, 1, 0, 1, 1, 11, 0, 1], [0, 1, 0, 1, 2, 8, 3, 0], [0, 1, 0, 1, 2, 9, 1, 1], [0, 1, 0, 1, 3, 6, 4, 0], [0, 1, 0, 1, 3, 7, 2, 1], [0, 1, 0, 1, 3, 8, 0, 2], [0, 1, 0, 1, 4, 4, 5, 0], [0, 1, 0, 1, 4, 5, 3, 1], [0, 1, 0, 1, 4, 6, 1, 2], [0, 1, 0, 1, 5, 2, 6, 0], [0, 1, 0, 1, 5, 3, 4, 1], [0, 1, 0, 1, 5, 4, 2, 2], [0, 1, 0, 1, 5, 5, 0, 3], [0, 1, 0, 1, 6, 0, 7, 0], [0, 1, 0, 1, 6, 1, 5, 1], [0, 1, 0, 1, 6, 2, 3, 2], [0, 1, 0, 1, 6, 3, 1, 3], [0, 1, 0, 1, 7, 0, 4, 2], [0, 1, 0, 1, 7, 1, 2, 3], [0, 1, 0, 1, 7, 2, 0, 4], [0, 1, 0, 1, 8, 0, 1, 4], [0, 1, 0, 2, 0, 9, 3, 0], [0, 1, 0, 2, 0, 10, 1, 1], [0, 1, 0, 2, 1, 7, 4, 0], [0, 1, 0, 2, 1, 8, 2, 1], [0, 1, 0, 2, 1, 9, 0, 2], [0, 1, 0, 2, 2, 5, 5, 0], [0, 1, 0, 2, 2, 6, 3, 1], [0, 1, 0, 2, 2, 7, 1, 2], [0, 1, 0, 2, 3, 3, 6, 0], [0, 1, 0, 2, 3, 4, 4, 1], [0, 1, 0, 2, 3, 5, 2, 2], [0, 1, 0, 2, 3, 6, 0, 3], [0, 1, 0, 2, 4, 1, 7, 0], [0, 1, 0, 2, 4, 2, 5, 1], [0, 1, 0, 2, 4, 3, 3, 2], [0, 1, 0, 2, 4, 4, 1, 3], [0, 1, 0, 2, 5, 0, 6, 1], [0, 1, 0, 2, 5, 1, 4, 2], [0, 1, 0, 2, 5, 2, 2, 3], [0, 1, 0, 2, 5, 3, 0, 4], [0, 1, 0, 2, 6, 0, 3, 3], [0, 1, 0, 2, 6, 1, 1, 4], [0, 1, 0, 2, 7, 0, 0, 5], [0, 1, 0, 3, 0, 6, 5, 0], [0, 1, 0, 3, 0, 7, 3, 1], [0, 1, 0, 3, 0, 8, 1, 2], [0, 1, 0, 3, 1, 4, 6, 0], [0, 1, 0, 3, 1, 5, 4, 1], [0, 1, 0, 3, 1, 6, 2, 2], [0, 1, 0, 3, 1, 7, 0, 3], [0, 1, 0, 3, 2, 2, 7, 0], [0, 1, 0, 3, 2, 3, 5, 1], [0, 1, 0, 3, 2, 4, 3, 2], [0, 1, 0, 3, 2, 5, 1, 3], [0, 1, 0, 3, 3, 0, 8, 0], [0, 1, 0, 3, 3, 1, 6, 1], [0, 1, 0, 3, 3, 2, 4, 2], [0, 1, 0, 3, 3, 3, 2, 3], [0, 1, 0, 3, 3, 4, 0, 4], [0, 1, 0, 3, 4, 0, 5, 2], [0, 1, 0, 3, 4, 1, 3, 3], [0, 1, 0, 3, 4, 2, 1, 4], [0, 1, 0, 3, 5, 0, 2, 4], [0, 1, 0, 3, 5, 1, 0, 5], [0, 1, 0, 4, 0, 3, 7, 0], [0, 1, 0, 4, 0, 4, 5, 1], [0, 1, 0, 4, 0, 5, 3, 2], [0, 1, 0, 4, 0, 6, 1, 3], [0, 1, 0, 4, 1, 1, 8, 0], [0, 1, 0, 4, 1, 2, 6, 1], [0, 1, 0, 4, 1, 3, 4, 2], [0, 1, 0, 4, 1, 4, 2, 3], [0, 1, 0, 4, 1, 5, 0, 4], [0, 1, 0, 4, 2, 0, 7, 1], [0, 1, 0, 4, 2, 1, 5, 2], [0, 1, 0, 4, 2, 2, 3, 3], [0, 1, 0, 4, 2, 3, 1, 4], [0, 1, 0, 4, 3, 0, 4, 3], [0, 1, 0, 4, 3, 1, 2, 4], [0, 1, 0, 4, 3, 2, 0, 5], [0, 1, 0, 4, 4, 0, 1, 5], [0, 1, 0, 5, 0, 0, 9, 0], [0, 1, 0, 5, 0, 1, 7, 1], [0, 1, 0, 5, 0, 2, 5, 2], [0, 1, 0, 5, 0, 3, 3, 3], [0, 1, 0, 5, 0, 4, 1, 4], [0, 1, 0, 5, 1, 0, 6, 2], [0, 1, 0, 5, 1, 1, 4, 3], [0, 1, 0, 5, 1, 2, 2, 4], [0, 1, 0, 5, 1, 3, 0, 5], [0, 1, 0, 5, 2, 0, 3, 4], [0, 1, 0, 5, 2, 1, 1, 5], [0, 1, 0, 5, 3, 0, 0, 6], [0, 1, 0, 6, 0, 0, 5, 3], [0, 1, 0, 6, 0, 1, 3, 4], [0, 1, 0, 6, 0, 2, 1, 5], [0, 1, 0, 6, 1, 0, 2, 5], [0, 1, 0, 6, 1, 1, 0, 6], [0, 1, 0, 7, 0, 0, 1, 6], [0, 1, 1, 0, 0, 11, 2, 0], [0, 1, 1, 0, 0, 12, 0, 1], [0, 1, 1, 0, 1, 9, 3, 0], [0, 1, 1, 0, 1, 10, 1, 1], [0, 1, 1, 0, 2, 7, 4, 0], [0, 1, 1, 0, 2, 8, 2, 1], [0, 1, 1, 0, 2, 9, 0, 2], [0, 1, 1, 0, 3, 5, 5, 0], [0, 1, 1, 0, 3, 6, 3, 1], [0, 1, 1, 0, 3, 7, 1, 2], [0, 1, 1, 0, 4, 3, 6, 0], [0, 1, 1, 0, 4, 4, 4, 1], [0, 1, 1, 0, 4, 5, 2, 2], [0, 1, 1, 0, 4, 6, 0, 3], [0, 1, 1, 0, 5, 1, 7, 0], [0, 1, 1, 0, 5, 2, 5, 1], [0, 1, 1, 0, 5, 3, 3, 2], [0, 1, 1, 0, 5, 4, 1, 3], [0, 1, 1, 0, 6, 0, 6, 1], [0, 1, 1, 0, 6, 1, 4, 2], [0, 1, 1, 0, 6, 2, 2, 3], [0, 1, 1, 0, 6, 3, 0, 4], [0, 1, 1, 0, 7, 0, 3, 3], [0, 1, 1, 0, 7, 1, 1, 4], [0, 1, 1, 0, 8, 0, 0, 5], [0, 1, 1, 1, 0, 8, 4, 0], [0, 1, 1, 1, 0, 9, 2, 1], [0, 1, 1, 1, 0, 10, 0, 2], [0, 1, 1, 1, 1, 6, 5, 0], [0, 1, 1, 1, 1, 7, 3, 1], [0, 1, 1, 1, 1, 8, 1, 2], [0, 1, 1, 1, 2, 4, 6, 0], [0, 1, 1, 1, 2, 5, 4, 1], [0, 1, 1, 1, 2, 6, 2, 2], [0, 1, 1, 1, 2, 7, 0, 3], [0, 1, 1, 1, 3, 2, 7, 0], [0, 1, 1, 1, 3, 3, 5, 1], [0, 1, 1, 1, 3, 4, 3, 2], [0, 1, 1, 1, 3, 5, 1, 3], [0, 1, 1, 1, 4, 0, 8, 0], [0, 1, 1, 1, 4, 1, 6, 1], [0, 1, 1, 1, 4, 2, 4, 2], [0, 1, 1, 1, 4, 3, 2, 3], [0, 1, 1, 1, 4, 4, 0, 4], [0, 1, 1, 1, 5, 0, 5, 2], [0, 1, 1, 1, 5, 1, 3, 3], [0, 1, 1, 1, 5, 2, 1, 4], [0, 1, 1, 1, 6, 0, 2, 4], [0, 1, 1, 1, 6, 1, 0, 5], [0, 1, 1, 2, 0, 5, 6, 0], [0, 1, 1, 2, 0, 6, 4, 1], [0, 1, 1, 2, 0, 7, 2, 2], [0, 1, 1, 2, 0, 8, 0, 3], [0, 1, 1, 2, 1, 3, 7, 0], [0, 1, 1, 2, 1, 4, 5, 1], [0, 1, 1, 2, 1, 5, 3, 2], [0, 1, 1, 2, 1, 6, 1, 3], [0, 1, 1, 2, 2, 1, 8, 0], [0, 1, 1, 2, 2, 2, 6, 1], [0, 1, 1, 2, 2, 3, 4, 2], [0, 1, 1, 2, 2, 4, 2, 3], [0, 1, 1, 2, 2, 5, 0, 4], [0, 1, 1, 2, 3, 0, 7, 1], [0, 1, 1, 2, 3, 1, 5, 2], [0, 1, 1, 2, 3, 2, 3, 3], [0, 1, 1, 2, 3, 3, 1, 4], [0, 1, 1, 2, 4, 0, 4, 3], [0, 1, 1, 2, 4, 1, 2, 4], [0, 1, 1, 2, 4, 2, 0, 5], [0, 1, 1, 2, 5, 0, 1, 5], [0, 1, 1, 3, 0, 2, 8, 0], [0, 1, 1, 3, 0, 3, 6, 1], [0, 1, 1, 3, 0, 4, 4, 2], [0, 1, 1, 3, 0, 5, 2, 3], [0, 1, 1, 3, 0, 6, 0, 4], [0, 1, 1, 3, 1, 0, 9, 0], [0, 1, 1, 3, 1, 1, 7, 1], [0, 1, 1, 3, 1, 2, 5, 2], [0, 1, 1, 3, 1, 3, 3, 3], [0, 1, 1, 3, 1, 4, 1, 4], [0, 1, 1, 3, 2, 0, 6, 2], [0, 1, 1, 3, 2, 1, 4, 3], [0, 1, 1, 3, 2, 2, 2, 4], [0, 1, 1, 3, 2, 3, 0, 5], [0, 1, 1, 3, 3, 0, 3, 4], [0, 1, 1, 3, 3, 1, 1, 5], [0, 1, 1, 3, 4, 0, 0, 6], [0, 1, 1, 4, 0, 0, 8, 1], [0, 1, 1, 4, 0, 1, 6, 2], [0, 1, 1, 4, 0, 2, 4, 3], [0, 1, 1, 4, 0, 3, 2, 4], [0, 1, 1, 4, 0, 4, 0, 5], [0, 1, 1, 4, 1, 0, 5, 3], [0, 1, 1, 4, 1, 1, 3, 4], [0, 1, 1, 4, 1, 2, 1, 5], [0, 1, 1, 4, 2, 0, 2, 5], [0, 1, 1, 4, 2, 1, 0, 6], [0, 1, 1, 5, 0, 0, 4, 4], [0, 1, 1, 5, 0, 1, 2, 5], [0, 1, 1, 5, 0, 2, 0, 6], [0, 1, 1, 5, 1, 0, 1, 6], [0, 1, 1, 6, 0, 0, 0, 7], [0, 1, 2, 0, 0, 7, 5, 0], [0, 1, 2, 0, 0, 8, 3, 1], [0, 1, 2, 0, 0, 9, 1, 2], [0, 1, 2, 0, 1, 5, 6, 0], [0, 1, 2, 0, 1, 6, 4, 1], [0, 1, 2, 0, 1, 7, 2, 2], [0, 1, 2, 0, 1, 8, 0, 3], [0, 1, 2, 0, 2, 3, 7, 0], [0, 1, 2, 0, 2, 4, 5, 1], [0, 1, 2, 0, 2, 5, 3, 2], [0, 1, 2, 0, 2, 6, 1, 3], [0, 1, 2, 0, 3, 1, 8, 0], [0, 1, 2, 0, 3, 2, 6, 1], [0, 1, 2, 0, 3, 3, 4, 2], [0, 1, 2, 0, 3, 4, 2, 3], [0, 1, 2, 0, 3, 5, 0, 4], [0, 1, 2, 0, 4, 0, 7, 1], [0, 1, 2, 0, 4, 1, 5, 2], [0, 1, 2, 0, 4, 2, 3, 3], [0, 1, 2, 0, 4, 3, 1, 4], [0, 1, 2, 0, 5, 0, 4, 3], [0, 1, 2, 0, 5, 1, 2, 4], [0, 1, 2, 0, 5, 2, 0, 5], [0, 1, 2, 0, 6, 0, 1, 5], [0, 1, 2, 1, 0, 4, 7, 0], [0, 1, 2, 1, 0, 5, 5, 1], [0, 1, 2, 1, 0, 6, 3, 2], [0, 1, 2, 1, 0, 7, 1, 3], [0, 1, 2, 1, 1, 2, 8, 0], [0, 1, 2, 1, 1, 3, 6, 1], [0, 1, 2, 1, 1, 4, 4, 2], [0, 1, 2, 1, 1, 5, 2, 3], [0, 1, 2, 1, 1, 6, 0, 4], [0, 1, 2, 1, 2, 0, 9, 0], [0, 1, 2, 1, 2, 1, 7, 1], [0, 1, 2, 1, 2, 2, 5, 2], [0, 1, 2, 1, 2, 3, 3, 3], [0, 1, 2, 1, 2, 4, 1, 4], [0, 1, 2, 1, 3, 0, 6, 2], [0, 1, 2, 1, 3, 1, 4, 3], [0, 1, 2, 1, 3, 2, 2, 4], [0, 1, 2, 1, 3, 3, 0, 5], [0, 1, 2, 1, 4, 0, 3, 4], [0, 1, 2, 1, 4, 1, 1, 5], [0, 1, 2, 1, 5, 0, 0, 6], [0, 1, 2, 2, 0, 1, 9, 0], [0, 1, 2, 2, 0, 2, 7, 1], [0, 1, 2, 2, 0, 3, 5, 2], [0, 1, 2, 2, 0, 4, 3, 3], [0, 1, 2, 2, 0, 5, 1, 4], [0, 1, 2, 2, 1, 0, 8, 1], [0, 1, 2, 2, 1, 1, 6, 2], [0, 1, 2, 2, 1, 2, 4, 3], [0, 1, 2, 2, 1, 3, 2, 4], [0, 1, 2, 2, 1, 4, 0, 5], [0, 1, 2, 2, 2, 0, 5, 3], [0, 1, 2, 2, 2, 1, 3, 4], [0, 1, 2, 2, 2, 2, 1, 5], [0, 1, 2, 2, 3, 0, 2, 5], [0, 1, 2, 2, 3, 1, 0, 6], [0, 1, 2, 3, 0, 0, 7, 2], [0, 1, 2, 3, 0, 1, 5, 3], [0, 1, 2, 3, 0, 2, 3, 4], [0, 1, 2, 3, 0, 3, 1, 5], [0, 1, 2, 3, 1, 0, 4, 4], [0, 1, 2, 3, 1, 1, 2, 5], [0, 1, 2, 3, 1, 2, 0, 6], [0, 1, 2, 3, 2, 0, 1, 6], [0, 1, 2, 4, 0, 0, 3, 5], [0, 1, 2, 4, 0, 1, 1, 6], [0, 1, 2, 4, 1, 0, 0, 7], [0, 1, 3, 0, 0, 3, 8, 0], [0, 1, 3, 0, 0, 4, 6, 1], [0, 1, 3, 0, 0, 5, 4, 2], [0, 1, 3, 0, 0, 6, 2, 3], [0, 1, 3, 0, 0, 7, 0, 4], [0, 1, 3, 0, 1, 1, 9, 0], [0, 1, 3, 0, 1, 2, 7, 1], [0, 1, 3, 0, 1, 3, 5, 2], [0, 1, 3, 0, 1, 4, 3, 3], [0, 1, 3, 0, 1, 5, 1, 4], [0, 1, 3, 0, 2, 0, 8, 1], [0, 1, 3, 0, 2, 1, 6, 2], [0, 1, 3, 0, 2, 2, 4, 3], [0, 1, 3, 0, 2, 3, 2, 4], [0, 1, 3, 0, 2, 4, 0, 5], [0, 1, 3, 0, 3, 0, 5, 3], [0, 1, 3, 0, 3, 1, 3, 4], [0, 1, 3, 0, 3, 2, 1, 5], [0, 1, 3, 0, 4, 0, 2, 5], [0, 1, 3, 0, 4, 1, 0, 6], [0, 1, 3, 1, 0, 0, 10, 0], [0, 1, 3, 1, 0, 1, 8, 1], [0, 1, 3, 1, 0, 2, 6, 2], [0, 1, 3, 1, 0, 3, 4, 3], [0, 1, 3, 1, 0, 4, 2, 4], [0, 1, 3, 1, 0, 5, 0, 5], [0, 1, 3, 1, 1, 0, 7, 2], [0, 1, 3, 1, 1, 1, 5, 3], [0, 1, 3, 1, 1, 2, 3, 4], [0, 1, 3, 1, 1, 3, 1, 5], [0, 1, 3, 1, 2, 0, 4, 4], [0, 1, 3, 1, 2, 1, 2, 5], [0, 1, 3, 1, 2, 2, 0, 6], [0, 1, 3, 1, 3, 0, 1, 6], [0, 1, 3, 2, 0, 0, 6, 3], [0, 1, 3, 2, 0, 1, 4, 4], [0, 1, 3, 2, 0, 2, 2, 5], [0, 1, 3, 2, 0, 3, 0, 6], [0, 1, 3, 2, 1, 0, 3, 5], [0, 1, 3, 2, 1, 1, 1, 6], [0, 1, 3, 2, 2, 0, 0, 7], [0, 1, 3, 3, 0, 0, 2, 6], [0, 1, 3, 3, 0, 1, 0, 7], [0, 1, 4, 0, 0, 0, 9, 1], [0, 1, 4, 0, 0, 1, 7, 2], [0, 1, 4, 0, 0, 2, 5, 3], [0, 1, 4, 0, 0, 3, 3, 4], [0, 1, 4, 0, 0, 4, 1, 5], [0, 1, 4, 0, 1, 0, 6, 3], [0, 1, 4, 0, 1, 1, 4, 4], [0, 1, 4, 0, 1, 2, 2, 5], [0, 1, 4, 0, 1, 3, 0, 6], [0, 1, 4, 0, 2, 0, 3, 5], [0, 1, 4, 0, 2, 1, 1, 6], [0, 1, 4, 0, 3, 0, 0, 7], [0, 1, 4, 1, 0, 0, 5, 4], [0, 1, 4, 1, 0, 1, 3, 5], [0, 1, 4, 1, 0, 2, 1, 6], [0, 1, 4, 1, 1, 0, 2, 6], [0, 1, 4, 1, 1, 1, 0, 7], [0, 1, 4, 2, 0, 0, 1, 7], [0, 1, 5, 0, 0, 0, 4, 5], [0, 1, 5, 0, 0, 1, 2, 6], [0, 1, 5, 0, 0, 2, 0, 7], [0, 1, 5, 0, 1, 0, 1, 7], [0, 1, 5, 1, 0, 0, 0, 8], [0, 2, 0, 0, 0, 10, 3, 0], [0, 2, 0, 0, 0, 11, 1, 1], [0, 2, 0, 0, 1, 8, 4, 0], [0, 2, 0, 0, 1, 9, 2, 1], [0, 2, 0, 0, 1, 10, 0, 2], [0, 2, 0, 0, 2, 6, 5, 0], [0, 2, 0, 0, 2, 7, 3, 1], [0, 2, 0, 0, 2, 8, 1, 2], [0, 2, 0, 0, 3, 4, 6, 0], [0, 2, 0, 0, 3, 5, 4, 1], [0, 2, 0, 0, 3, 6, 2, 2], [0, 2, 0, 0, 3, 7, 0, 3], [0, 2, 0, 0, 4, 2, 7, 0], [0, 2, 0, 0, 4, 3, 5, 1], [0, 2, 0, 0, 4, 4, 3, 2], [0, 2, 0, 0, 4, 5, 1, 3], [0, 2, 0, 0, 5, 0, 8, 0], [0, 2, 0, 0, 5, 1, 6, 1], [0, 2, 0, 0, 5, 2, 4, 2], [0, 2, 0, 0, 5, 3, 2, 3], [0, 2, 0, 0, 5, 4, 0, 4], [0, 2, 0, 0, 6, 0, 5, 2], [0, 2, 0, 0, 6, 1, 3, 3], [0, 2, 0, 0, 6, 2, 1, 4], [0, 2, 0, 0, 7, 0, 2, 4], [0, 2, 0, 0, 7, 1, 0, 5], [0, 2, 0, 1, 0, 7, 5, 0], [0, 2, 0, 1, 0, 8, 3, 1], [0, 2, 0, 1, 0, 9, 1, 2], [0, 2, 0, 1, 1, 5, 6, 0], [0, 2, 0, 1, 1, 6, 4, 1], [0, 2, 0, 1, 1, 7, 2, 2], [0, 2, 0, 1, 1, 8, 0, 3], [0, 2, 0, 1, 2, 3, 7, 0], [0, 2, 0, 1, 2, 4, 5, 1], [0, 2, 0, 1, 2, 5, 3, 2], [0, 2, 0, 1, 2, 6, 1, 3], [0, 2, 0, 1, 3, 1, 8, 0], [0, 2, 0, 1, 3, 2, 6, 1], [0, 2, 0, 1, 3, 3, 4, 2], [0, 2, 0, 1, 3, 4, 2, 3], [0, 2, 0, 1, 3, 5, 0, 4], [0, 2, 0, 1, 4, 0, 7, 1], [0, 2, 0, 1, 4, 1, 5, 2], [0, 2, 0, 1, 4, 2, 3, 3], [0, 2, 0, 1, 4, 3, 1, 4], [0, 2, 0, 1, 5, 0, 4, 3], [0, 2, 0, 1, 5, 1, 2, 4], [0, 2, 0, 1, 5, 2, 0, 5], [0, 2, 0, 1, 6, 0, 1, 5], [0, 2, 0, 2, 0, 4, 7, 0], [0, 2, 0, 2, 0, 5, 5, 1], [0, 2, 0, 2, 0, 6, 3, 2], [0, 2, 0, 2, 0, 7, 1, 3], [0, 2, 0, 2, 1, 2, 8, 0], [0, 2, 0, 2, 1, 3, 6, 1], [0, 2, 0, 2, 1, 4, 4, 2], [0, 2, 0, 2, 1, 5, 2, 3], [0, 2, 0, 2, 1, 6, 0, 4], [0, 2, 0, 2, 2, 0, 9, 0], [0, 2, 0, 2, 2, 1, 7, 1], [0, 2, 0, 2, 2, 2, 5, 2], [0, 2, 0, 2, 2, 3, 3, 3], [0, 2, 0, 2, 2, 4, 1, 4], [0, 2, 0, 2, 3, 0, 6, 2], [0, 2, 0, 2, 3, 1, 4, 3], [0, 2, 0, 2, 3, 2, 2, 4], [0, 2, 0, 2, 3, 3, 0, 5], [0, 2, 0, 2, 4, 0, 3, 4], [0, 2, 0, 2, 4, 1, 1, 5], [0, 2, 0, 2, 5, 0, 0, 6], [0, 2, 0, 3, 0, 1, 9, 0], [0, 2, 0, 3, 0, 2, 7, 1], [0, 2, 0, 3, 0, 3, 5, 2], [0, 2, 0, 3, 0, 4, 3, 3], [0, 2, 0, 3, 0, 5, 1, 4], [0, 2, 0, 3, 1, 0, 8, 1], [0, 2, 0, 3, 1, 1, 6, 2], [0, 2, 0, 3, 1, 2, 4, 3], [0, 2, 0, 3, 1, 3, 2, 4], [0, 2, 0, 3, 1, 4, 0, 5], [0, 2, 0, 3, 2, 0, 5, 3], [0, 2, 0, 3, 2, 1, 3, 4], [0, 2, 0, 3, 2, 2, 1, 5], [0, 2, 0, 3, 3, 0, 2, 5], [0, 2, 0, 3, 3, 1, 0, 6], [0, 2, 0, 4, 0, 0, 7, 2], [0, 2, 0, 4, 0, 1, 5, 3], [0, 2, 0, 4, 0, 2, 3, 4], [0, 2, 0, 4, 0, 3, 1, 5], [0, 2, 0, 4, 1, 0, 4, 4], [0, 2, 0, 4, 1, 1, 2, 5], [0, 2, 0, 4, 1, 2, 0, 6], [0, 2, 0, 4, 2, 0, 1, 6], [0, 2, 0, 5, 0, 0, 3, 5], [0, 2, 0, 5, 0, 1, 1, 6], [0, 2, 0, 5, 1, 0, 0, 7], [0, 2, 1, 0, 0, 6, 6, 0], [0, 2, 1, 0, 0, 7, 4, 1], [0, 2, 1, 0, 0, 8, 2, 2], [0, 2, 1, 0, 0, 9, 0, 3], [0, 2, 1, 0, 1, 4, 7, 0], [0, 2, 1, 0, 1, 5, 5, 1], [0, 2, 1, 0, 1, 6, 3, 2], [0, 2, 1, 0, 1, 7, 1, 3], [0, 2, 1, 0, 2, 2, 8, 0], [0, 2, 1, 0, 2, 3, 6, 1], [0, 2, 1, 0, 2, 4, 4, 2], [0, 2, 1, 0, 2, 5, 2, 3], [0, 2, 1, 0, 2, 6, 0, 4], [0, 2, 1, 0, 3, 0, 9, 0], [0, 2, 1, 0, 3, 1, 7, 1], [0, 2, 1, 0, 3, 2, 5, 2], [0, 2, 1, 0, 3, 3, 3, 3], [0, 2, 1, 0, 3, 4, 1, 4], [0, 2, 1, 0, 4, 0, 6, 2], [0, 2, 1, 0, 4, 1, 4, 3], [0, 2, 1, 0, 4, 2, 2, 4], [0, 2, 1, 0, 4, 3, 0, 5], [0, 2, 1, 0, 5, 0, 3, 4], [0, 2, 1, 0, 5, 1, 1, 5], [0, 2, 1, 0, 6, 0, 0, 6], [0, 2, 1, 1, 0, 3, 8, 0], [0, 2, 1, 1, 0, 4, 6, 1], [0, 2, 1, 1, 0, 5, 4, 2], [0, 2, 1, 1, 0, 6, 2, 3], [0, 2, 1, 1, 0, 7, 0, 4], [0, 2, 1, 1, 1, 1, 9, 0], [0, 2, 1, 1, 1, 2, 7, 1], [0, 2, 1, 1, 1, 3, 5, 2], [0, 2, 1, 1, 1, 4, 3, 3], [0, 2, 1, 1, 1, 5, 1, 4], [0, 2, 1, 1, 2, 0, 8, 1], [0, 2, 1, 1, 2, 1, 6, 2], [0, 2, 1, 1, 2, 2, 4, 3], [0, 2, 1, 1, 2, 3, 2, 4], [0, 2, 1, 1, 2, 4, 0, 5], [0, 2, 1, 1, 3, 0, 5, 3], [0, 2, 1, 1, 3, 1, 3, 4], [0, 2, 1, 1, 3, 2, 1, 5], [0, 2, 1, 1, 4, 0, 2, 5], [0, 2, 1, 1, 4, 1, 0, 6], [0, 2, 1, 2, 0, 0, 10, 0], [0, 2, 1, 2, 0, 1, 8, 1], [0, 2, 1, 2, 0, 2, 6, 2], [0, 2, 1, 2, 0, 3, 4, 3], [0, 2, 1, 2, 0, 4, 2, 4], [0, 2, 1, 2, 0, 5, 0, 5], [0, 2, 1, 2, 1, 0, 7, 2], [0, 2, 1, 2, 1, 1, 5, 3], [0, 2, 1, 2, 1, 2, 3, 4], [0, 2, 1, 2, 1, 3, 1, 5], [0, 2, 1, 2, 2, 0, 4, 4], [0, 2, 1, 2, 2, 1, 2, 5], [0, 2, 1, 2, 2, 2, 0, 6], [0, 2, 1, 2, 3, 0, 1, 6], [0, 2, 1, 3, 0, 0, 6, 3], [0, 2, 1, 3, 0, 1, 4, 4], [0, 2, 1, 3, 0, 2, 2, 5], [0, 2, 1, 3, 0, 3, 0, 6], [0, 2, 1, 3, 1, 0, 3, 5], [0, 2, 1, 3, 1, 1, 1, 6], [0, 2, 1, 3, 2, 0, 0, 7], [0, 2, 1, 4, 0, 0, 2, 6], [0, 2, 1, 4, 0, 1, 0, 7], [0, 2, 2, 0, 0, 2, 9, 0], [0, 2, 2, 0, 0, 3, 7, 1], [0, 2, 2, 0, 0, 4, 5, 2], [0, 2, 2, 0, 0, 5, 3, 3], [0, 2, 2, 0, 0, 6, 1, 4], [0, 2, 2, 0, 1, 0, 10, 0], [0, 2, 2, 0, 1, 1, 8, 1], [0, 2, 2, 0, 1, 2, 6, 2], [0, 2, 2, 0, 1, 3, 4, 3], [0, 2, 2, 0, 1, 4, 2, 4], [0, 2, 2, 0, 1, 5, 0, 5], [0, 2, 2, 0, 2, 0, 7, 2], [0, 2, 2, 0, 2, 1, 5, 3], [0, 2, 2, 0, 2, 2, 3, 4], [0, 2, 2, 0, 2, 3, 1, 5], [0, 2, 2, 0, 3, 0, 4, 4], [0, 2, 2, 0, 3, 1, 2, 5], [0, 2, 2, 0, 3, 2, 0, 6], [0, 2, 2, 0, 4, 0, 1, 6], [0, 2, 2, 1, 0, 0, 9, 1], [0, 2, 2, 1, 0, 1, 7, 2], [0, 2, 2, 1, 0, 2, 5, 3], [0, 2, 2, 1, 0, 3, 3, 4], [0, 2, 2, 1, 0, 4, 1, 5], [0, 2, 2, 1, 1, 0, 6, 3], [0, 2, 2, 1, 1, 1, 4, 4], [0, 2, 2, 1, 1, 2, 2, 5], [0, 2, 2, 1, 1, 3, 0, 6], [0, 2, 2, 1, 2, 0, 3, 5], [0, 2, 2, 1, 2, 1, 1, 6], [0, 2, 2, 1, 3, 0, 0, 7], [0, 2, 2, 2, 0, 0, 5, 4], [0, 2, 2, 2, 0, 1, 3, 5], [0, 2, 2, 2, 0, 2, 1, 6], [0, 2, 2, 2, 1, 0, 2, 6], [0, 2, 2, 2, 1, 1, 0, 7], [0, 2, 2, 3, 0, 0, 1, 7], [0, 2, 3, 0, 0, 0, 8, 2], [0, 2, 3, 0, 0, 1, 6, 3], [0, 2, 3, 0, 0, 2, 4, 4], [0, 2, 3, 0, 0, 3, 2, 5], [0, 2, 3, 0, 0, 4, 0, 6], [0, 2, 3, 0, 1, 0, 5, 4], [0, 2, 3, 0, 1, 1, 3, 5], [0, 2, 3, 0, 1, 2, 1, 6], [0, 2, 3, 0, 2, 0, 2, 6], [0, 2, 3, 0, 2, 1, 0, 7], [0, 2, 3, 1, 0, 0, 4, 5], [0, 2, 3, 1, 0, 1, 2, 6], [0, 2, 3, 1, 0, 2, 0, 7], [0, 2, 3, 1, 1, 0, 1, 7], [0, 2, 3, 2, 0, 0, 0, 8], [0, 2, 4, 0, 0, 0, 3, 6], [0, 2, 4, 0, 0, 1, 1, 7], [0, 2, 4, 0, 1, 0, 0, 8], [0, 3, 0, 0, 0, 5, 7, 0], [0, 3, 0, 0, 0, 6, 5, 1], [0, 3, 0, 0, 0, 7, 3, 2], [0, 3, 0, 0, 0, 8, 1, 3], [0, 3, 0, 0, 1, 3, 8, 0], [0, 3, 0, 0, 1, 4, 6, 1], [0, 3, 0, 0, 1, 5, 4, 2], [0, 3, 0, 0, 1, 6, 2, 3], [0, 3, 0, 0, 1, 7, 0, 4], [0, 3, 0, 0, 2, 1, 9, 0], [0, 3, 0, 0, 2, 2, 7, 1], [0, 3, 0, 0, 2, 3, 5, 2], [0, 3, 0, 0, 2, 4, 3, 3], [0, 3, 0, 0, 2, 5, 1, 4], [0, 3, 0, 0, 3, 0, 8, 1], [0, 3, 0, 0, 3, 1, 6, 2], [0, 3, 0, 0, 3, 2, 4, 3], [0, 3, 0, 0, 3, 3, 2, 4], [0, 3, 0, 0, 3, 4, 0, 5], [0, 3, 0, 0, 4, 0, 5, 3], [0, 3, 0, 0, 4, 1, 3, 4], [0, 3, 0, 0, 4, 2, 1, 5], [0, 3, 0, 0, 5, 0, 2, 5], [0, 3, 0, 0, 5, 1, 0, 6], [0, 3, 0, 1, 0, 2, 9, 0], [0, 3, 0, 1, 0, 3, 7, 1], [0, 3, 0, 1, 0, 4, 5, 2], [0, 3, 0, 1, 0, 5, 3, 3], [0, 3, 0, 1, 0, 6, 1, 4], [0, 3, 0, 1, 1, 0, 10, 0], [0, 3, 0, 1, 1, 1, 8, 1], [0, 3, 0, 1, 1, 2, 6, 2], [0, 3, 0, 1, 1, 3, 4, 3], [0, 3, 0, 1, 1, 4, 2, 4], [0, 3, 0, 1, 1, 5, 0, 5], [0, 3, 0, 1, 2, 0, 7, 2], [0, 3, 0, 1, 2, 1, 5, 3], [0, 3, 0, 1, 2, 2, 3, 4], [0, 3, 0, 1, 2, 3, 1, 5], [0, 3, 0, 1, 3, 0, 4, 4], [0, 3, 0, 1, 3, 1, 2, 5], [0, 3, 0, 1, 3, 2, 0, 6], [0, 3, 0, 1, 4, 0, 1, 6], [0, 3, 0, 2, 0, 0, 9, 1], [0, 3, 0, 2, 0, 1, 7, 2], [0, 3, 0, 2, 0, 2, 5, 3], [0, 3, 0, 2, 0, 3, 3, 4], [0, 3, 0, 2, 0, 4, 1, 5], [0, 3, 0, 2, 1, 0, 6, 3], [0, 3, 0, 2, 1, 1, 4, 4], [0, 3, 0, 2, 1, 2, 2, 5], [0, 3, 0, 2, 1, 3, 0, 6], [0, 3, 0, 2, 2, 0, 3, 5], [0, 3, 0, 2, 2, 1, 1, 6], [0, 3, 0, 2, 3, 0, 0, 7], [0, 3, 0, 3, 0, 0, 5, 4], [0, 3, 0, 3, 0, 1, 3, 5], [0, 3, 0, 3, 0, 2, 1, 6], [0, 3, 0, 3, 1, 0, 2, 6], [0, 3, 0, 3, 1, 1, 0, 7], [0, 3, 0, 4, 0, 0, 1, 7], [0, 3, 1, 0, 0, 1, 10, 0], [0, 3, 1, 0, 0, 2, 8, 1], [0, 3, 1, 0, 0, 3, 6, 2], [0, 3, 1, 0, 0, 4, 4, 3], [0, 3, 1, 0, 0, 5, 2, 4], [0, 3, 1, 0, 0, 6, 0, 5], [0, 3, 1, 0, 1, 0, 9, 1], [0, 3, 1, 0, 1, 1, 7, 2], [0, 3, 1, 0, 1, 2, 5, 3], [0, 3, 1, 0, 1, 3, 3, 4], [0, 3, 1, 0, 1, 4, 1, 5], [0, 3, 1, 0, 2, 0, 6, 3], [0, 3, 1, 0, 2, 1, 4, 4], [0, 3, 1, 0, 2, 2, 2, 5], [0, 3, 1, 0, 2, 3, 0, 6], [0, 3, 1, 0, 3, 0, 3, 5], [0, 3, 1, 0, 3, 1, 1, 6], [0, 3, 1, 0, 4, 0, 0, 7], [0, 3, 1, 1, 0, 0, 8, 2], [0, 3, 1, 1, 0, 1, 6, 3], [0, 3, 1, 1, 0, 2, 4, 4], [0, 3, 1, 1, 0, 3, 2, 5], [0, 3, 1, 1, 0, 4, 0, 6], [0, 3, 1, 1, 1, 0, 5, 4], [0, 3, 1, 1, 1, 1, 3, 5], [0, 3, 1, 1, 1, 2, 1, 6], [0, 3, 1, 1, 2, 0, 2, 6], [0, 3, 1, 1, 2, 1, 0, 7], [0, 3, 1, 2, 0, 0, 4, 5], [0, 3, 1, 2, 0, 1, 2, 6], [0, 3, 1, 2, 0, 2, 0, 7], [0, 3, 1, 2, 1, 0, 1, 7], [0, 3, 1, 3, 0, 0, 0, 8], [0, 3, 2, 0, 0, 0, 7, 3], [0, 3, 2, 0, 0, 1, 5, 4], [0, 3, 2, 0, 0, 2, 3, 5], [0, 3, 2, 0, 0, 3, 1, 6], [0, 3, 2, 0, 1, 0, 4, 5], [0, 3, 2, 0, 1, 1, 2, 6], [0, 3, 2, 0, 1, 2, 0, 7], [0, 3, 2, 0, 2, 0, 1, 7], [0, 3, 2, 1, 0, 0, 3, 6], [0, 3, 2, 1, 0, 1, 1, 7], [0, 3, 2, 1, 1, 0, 0, 8], [0, 3, 3, 0, 0, 0, 2, 7], [0, 3, 3, 0, 0, 1, 0, 8], [0, 4, 0, 0, 0, 0, 11, 0], [0, 4, 0, 0, 0, 1, 9, 1], [0, 4, 0, 0, 0, 2, 7, 2], [0, 4, 0, 0, 0, 3, 5, 3], [0, 4, 0, 0, 0, 4, 3, 4], [0, 4, 0, 0, 0, 5, 1, 5], [0, 4, 0, 0, 1, 0, 8, 2], [0, 4, 0, 0, 1, 1, 6, 3], [0, 4, 0, 0, 1, 2, 4, 4], [0, 4, 0, 0, 1, 3, 2, 5], [0, 4, 0, 0, 1, 4, 0, 6], [0, 4, 0, 0, 2, 0, 5, 4], [0, 4, 0, 0, 2, 1, 3, 5], [0, 4, 0, 0, 2, 2, 1, 6], [0, 4, 0, 0, 3, 0, 2, 6], [0, 4, 0, 0, 3, 1, 0, 7], [0, 4, 0, 1, 0, 0, 7, 3], [0, 4, 0, 1, 0, 1, 5, 4], [0, 4, 0, 1, 0, 2, 3, 5], [0, 4, 0, 1, 0, 3, 1, 6], [0, 4, 0, 1, 1, 0, 4, 5], [0, 4, 0, 1, 1, 1, 2, 6], [0, 4, 0, 1, 1, 2, 0, 7], [0, 4, 0, 1, 2, 0, 1, 7], [0, 4, 0, 2, 0, 0, 3, 6], [0, 4, 0, 2, 0, 1, 1, 7], [0, 4, 0, 2, 1, 0, 0, 8], [0, 4, 1, 0, 0, 0, 6, 4], [0, 4, 1, 0, 0, 1, 4, 5], [0, 4, 1, 0, 0, 2, 2, 6], [0, 4, 1, 0, 0, 3, 0, 7], [0, 4, 1, 0, 1, 0, 3, 6], [0, 4, 1, 0, 1, 1, 1, 7], [0, 4, 1, 0, 2, 0, 0, 8], [0, 4, 1, 1, 0, 0, 2, 7], [0, 4, 1, 1, 0, 1, 0, 8], [0, 4, 2, 0, 0, 0, 1, 8], [0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 1, 3, 6], [0, 5, 0, 0, 0, 2, 1, 7], [0, 5, 0, 0, 1, 0, 2, 7], [0, 5, 0, 0, 1, 1, 0, 8], [0, 5, 0, 1, 0, 0, 1, 8], [0, 5, 1, 0, 0, 0, 0, 9]} (8, 15, 1) has 3279 possible DDs: {[0, 0, 0, 0, 0, 10, 5, 0, 0], [0, 0, 0, 0, 0, 11, 3, 1, 0], [0, 0, 0, 0, 0, 12, 1, 2, 0], [0, 0, 0, 0, 0, 12, 2, 0, 1], [0, 0, 0, 0, 0, 13, 0, 1, 1], [0, 0, 0, 0, 1, 8, 6, 0, 0], [0, 0, 0, 0, 1, 9, 4, 1, 0], [0, 0, 0, 0, 1, 10, 2, 2, 0], [0, 0, 0, 0, 1, 10, 3, 0, 1], [0, 0, 0, 0, 1, 11, 0, 3, 0], [0, 0, 0, 0, 1, 11, 1, 1, 1], [0, 0, 0, 0, 1, 12, 0, 0, 2], [0, 0, 0, 0, 2, 6, 7, 0, 0], [0, 0, 0, 0, 2, 7, 5, 1, 0], [0, 0, 0, 0, 2, 8, 3, 2, 0], [0, 0, 0, 0, 2, 8, 4, 0, 1], [0, 0, 0, 0, 2, 9, 1, 3, 0], [0, 0, 0, 0, 2, 9, 2, 1, 1], [0, 0, 0, 0, 2, 10, 0, 2, 1], [0, 0, 0, 0, 2, 10, 1, 0, 2], [0, 0, 0, 0, 3, 4, 8, 0, 0], [0, 0, 0, 0, 3, 5, 6, 1, 0], [0, 0, 0, 0, 3, 6, 4, 2, 0], [0, 0, 0, 0, 3, 6, 5, 0, 1], [0, 0, 0, 0, 3, 7, 2, 3, 0], [0, 0, 0, 0, 3, 7, 3, 1, 1], [0, 0, 0, 0, 3, 8, 0, 4, 0], [0, 0, 0, 0, 3, 8, 1, 2, 1], [0, 0, 0, 0, 3, 8, 2, 0, 2], [0, 0, 0, 0, 3, 9, 0, 1, 2], [0, 0, 0, 0, 4, 2, 9, 0, 0], [0, 0, 0, 0, 4, 3, 7, 1, 0], [0, 0, 0, 0, 4, 4, 5, 2, 0], [0, 0, 0, 0, 4, 4, 6, 0, 1], [0, 0, 0, 0, 4, 5, 3, 3, 0], [0, 0, 0, 0, 4, 5, 4, 1, 1], [0, 0, 0, 0, 4, 6, 1, 4, 0], [0, 0, 0, 0, 4, 6, 2, 2, 1], [0, 0, 0, 0, 4, 6, 3, 0, 2], [0, 0, 0, 0, 4, 7, 0, 3, 1], [0, 0, 0, 0, 4, 7, 1, 1, 2], [0, 0, 0, 0, 4, 8, 0, 0, 3], [0, 0, 0, 0, 5, 0, 10, 0, 0], [0, 0, 0, 0, 5, 1, 8, 1, 0], [0, 0, 0, 0, 5, 2, 6, 2, 0], [0, 0, 0, 0, 5, 2, 7, 0, 1], [0, 0, 0, 0, 5, 3, 4, 3, 0], [0, 0, 0, 0, 5, 3, 5, 1, 1], [0, 0, 0, 0, 5, 4, 2, 4, 0], [0, 0, 0, 0, 5, 4, 3, 2, 1], [0, 0, 0, 0, 5, 4, 4, 0, 2], [0, 0, 0, 0, 5, 5, 0, 5, 0], [0, 0, 0, 0, 5, 5, 1, 3, 1], [0, 0, 0, 0, 5, 5, 2, 1, 2], [0, 0, 0, 0, 5, 6, 0, 2, 2], [0, 0, 0, 0, 5, 6, 1, 0, 3], [0, 0, 0, 0, 6, 0, 7, 2, 0], [0, 0, 0, 0, 6, 0, 8, 0, 1], [0, 0, 0, 0, 6, 1, 5, 3, 0], [0, 0, 0, 0, 6, 1, 6, 1, 1], [0, 0, 0, 0, 6, 2, 3, 4, 0], [0, 0, 0, 0, 6, 2, 4, 2, 1], [0, 0, 0, 0, 6, 2, 5, 0, 2], [0, 0, 0, 0, 6, 3, 1, 5, 0], [0, 0, 0, 0, 6, 3, 2, 3, 1], [0, 0, 0, 0, 6, 3, 3, 1, 2], [0, 0, 0, 0, 6, 4, 0, 4, 1], [0, 0, 0, 0, 6, 4, 1, 2, 2], [0, 0, 0, 0, 6, 4, 2, 0, 3], [0, 0, 0, 0, 6, 5, 0, 1, 3], [0, 0, 0, 0, 7, 0, 4, 4, 0], [0, 0, 0, 0, 7, 0, 5, 2, 1], [0, 0, 0, 0, 7, 0, 6, 0, 2], [0, 0, 0, 0, 7, 1, 2, 5, 0], [0, 0, 0, 0, 7, 1, 3, 3, 1], [0, 0, 0, 0, 7, 1, 4, 1, 2], [0, 0, 0, 0, 7, 2, 0, 6, 0], [0, 0, 0, 0, 7, 2, 1, 4, 1], [0, 0, 0, 0, 7, 2, 2, 2, 2], [0, 0, 0, 0, 7, 2, 3, 0, 3], [0, 0, 0, 0, 7, 3, 0, 3, 2], [0, 0, 0, 0, 7, 3, 1, 1, 3], [0, 0, 0, 0, 7, 4, 0, 0, 4], [0, 0, 0, 0, 8, 0, 1, 6, 0], [0, 0, 0, 0, 8, 0, 2, 4, 1], [0, 0, 0, 0, 8, 0, 3, 2, 2], [0, 0, 0, 0, 8, 0, 4, 0, 3], [0, 0, 0, 0, 8, 1, 0, 5, 1], [0, 0, 0, 0, 8, 1, 1, 3, 2], [0, 0, 0, 0, 8, 1, 2, 1, 3], [0, 0, 0, 0, 8, 2, 0, 2, 3], [0, 0, 0, 0, 8, 2, 1, 0, 4], [0, 0, 0, 0, 9, 0, 0, 4, 2], [0, 0, 0, 0, 9, 0, 1, 2, 3], [0, 0, 0, 0, 9, 0, 2, 0, 4], [0, 0, 0, 0, 9, 1, 0, 1, 4], [0, 0, 0, 0, 10, 0, 0, 0, 5], [0, 0, 0, 1, 0, 7, 7, 0, 0], [0, 0, 0, 1, 0, 8, 5, 1, 0], [0, 0, 0, 1, 0, 9, 3, 2, 0], [0, 0, 0, 1, 0, 9, 4, 0, 1], [0, 0, 0, 1, 0, 10, 1, 3, 0], [0, 0, 0, 1, 0, 10, 2, 1, 1], [0, 0, 0, 1, 0, 11, 0, 2, 1], [0, 0, 0, 1, 0, 11, 1, 0, 2], [0, 0, 0, 1, 1, 5, 8, 0, 0], [0, 0, 0, 1, 1, 6, 6, 1, 0], [0, 0, 0, 1, 1, 7, 4, 2, 0], [0, 0, 0, 1, 1, 7, 5, 0, 1], [0, 0, 0, 1, 1, 8, 2, 3, 0], [0, 0, 0, 1, 1, 8, 3, 1, 1], [0, 0, 0, 1, 1, 9, 0, 4, 0], [0, 0, 0, 1, 1, 9, 1, 2, 1], [0, 0, 0, 1, 1, 9, 2, 0, 2], [0, 0, 0, 1, 1, 10, 0, 1, 2], [0, 0, 0, 1, 2, 3, 9, 0, 0], [0, 0, 0, 1, 2, 4, 7, 1, 0], [0, 0, 0, 1, 2, 5, 5, 2, 0], [0, 0, 0, 1, 2, 5, 6, 0, 1], [0, 0, 0, 1, 2, 6, 3, 3, 0], [0, 0, 0, 1, 2, 6, 4, 1, 1], [0, 0, 0, 1, 2, 7, 1, 4, 0], [0, 0, 0, 1, 2, 7, 2, 2, 1], [0, 0, 0, 1, 2, 7, 3, 0, 2], [0, 0, 0, 1, 2, 8, 0, 3, 1], [0, 0, 0, 1, 2, 8, 1, 1, 2], [0, 0, 0, 1, 2, 9, 0, 0, 3], [0, 0, 0, 1, 3, 1, 10, 0, 0], [0, 0, 0, 1, 3, 2, 8, 1, 0], [0, 0, 0, 1, 3, 3, 6, 2, 0], [0, 0, 0, 1, 3, 3, 7, 0, 1], [0, 0, 0, 1, 3, 4, 4, 3, 0], [0, 0, 0, 1, 3, 4, 5, 1, 1], [0, 0, 0, 1, 3, 5, 2, 4, 0], [0, 0, 0, 1, 3, 5, 3, 2, 1], [0, 0, 0, 1, 3, 5, 4, 0, 2], [0, 0, 0, 1, 3, 6, 0, 5, 0], [0, 0, 0, 1, 3, 6, 1, 3, 1], [0, 0, 0, 1, 3, 6, 2, 1, 2], [0, 0, 0, 1, 3, 7, 0, 2, 2], [0, 0, 0, 1, 3, 7, 1, 0, 3], [0, 0, 0, 1, 4, 0, 9, 1, 0], [0, 0, 0, 1, 4, 1, 7, 2, 0], [0, 0, 0, 1, 4, 1, 8, 0, 1], [0, 0, 0, 1, 4, 2, 5, 3, 0], [0, 0, 0, 1, 4, 2, 6, 1, 1], [0, 0, 0, 1, 4, 3, 3, 4, 0], [0, 0, 0, 1, 4, 3, 4, 2, 1], [0, 0, 0, 1, 4, 3, 5, 0, 2], [0, 0, 0, 1, 4, 4, 1, 5, 0], [0, 0, 0, 1, 4, 4, 2, 3, 1], [0, 0, 0, 1, 4, 4, 3, 1, 2], [0, 0, 0, 1, 4, 5, 0, 4, 1], [0, 0, 0, 1, 4, 5, 1, 2, 2], [0, 0, 0, 1, 4, 5, 2, 0, 3], [0, 0, 0, 1, 4, 6, 0, 1, 3], [0, 0, 0, 1, 5, 0, 6, 3, 0], [0, 0, 0, 1, 5, 0, 7, 1, 1], [0, 0, 0, 1, 5, 1, 4, 4, 0], [0, 0, 0, 1, 5, 1, 5, 2, 1], [0, 0, 0, 1, 5, 1, 6, 0, 2], [0, 0, 0, 1, 5, 2, 2, 5, 0], [0, 0, 0, 1, 5, 2, 3, 3, 1], [0, 0, 0, 1, 5, 2, 4, 1, 2], [0, 0, 0, 1, 5, 3, 0, 6, 0], [0, 0, 0, 1, 5, 3, 1, 4, 1], [0, 0, 0, 1, 5, 3, 2, 2, 2], [0, 0, 0, 1, 5, 3, 3, 0, 3], [0, 0, 0, 1, 5, 4, 0, 3, 2], [0, 0, 0, 1, 5, 4, 1, 1, 3], [0, 0, 0, 1, 5, 5, 0, 0, 4], [0, 0, 0, 1, 6, 0, 3, 5, 0], [0, 0, 0, 1, 6, 0, 4, 3, 1], [0, 0, 0, 1, 6, 0, 5, 1, 2], [0, 0, 0, 1, 6, 1, 1, 6, 0], [0, 0, 0, 1, 6, 1, 2, 4, 1], [0, 0, 0, 1, 6, 1, 3, 2, 2], [0, 0, 0, 1, 6, 1, 4, 0, 3], [0, 0, 0, 1, 6, 2, 0, 5, 1], [0, 0, 0, 1, 6, 2, 1, 3, 2], [0, 0, 0, 1, 6, 2, 2, 1, 3], [0, 0, 0, 1, 6, 3, 0, 2, 3], [0, 0, 0, 1, 6, 3, 1, 0, 4], [0, 0, 0, 1, 7, 0, 0, 7, 0], [0, 0, 0, 1, 7, 0, 1, 5, 1], [0, 0, 0, 1, 7, 0, 2, 3, 2], [0, 0, 0, 1, 7, 0, 3, 1, 3], [0, 0, 0, 1, 7, 1, 0, 4, 2], [0, 0, 0, 1, 7, 1, 1, 2, 3], [0, 0, 0, 1, 7, 1, 2, 0, 4], [0, 0, 0, 1, 7, 2, 0, 1, 4], [0, 0, 0, 1, 8, 0, 0, 3, 3], [0, 0, 0, 1, 8, 0, 1, 1, 4], [0, 0, 0, 1, 8, 1, 0, 0, 5], [0, 0, 0, 2, 0, 4, 9, 0, 0], [0, 0, 0, 2, 0, 5, 7, 1, 0], [0, 0, 0, 2, 0, 6, 5, 2, 0], [0, 0, 0, 2, 0, 6, 6, 0, 1], [0, 0, 0, 2, 0, 7, 3, 3, 0], [0, 0, 0, 2, 0, 7, 4, 1, 1], [0, 0, 0, 2, 0, 8, 1, 4, 0], [0, 0, 0, 2, 0, 8, 2, 2, 1], [0, 0, 0, 2, 0, 8, 3, 0, 2], [0, 0, 0, 2, 0, 9, 0, 3, 1], [0, 0, 0, 2, 0, 9, 1, 1, 2], [0, 0, 0, 2, 0, 10, 0, 0, 3], [0, 0, 0, 2, 1, 2, 10, 0, 0], [0, 0, 0, 2, 1, 3, 8, 1, 0], [0, 0, 0, 2, 1, 4, 6, 2, 0], [0, 0, 0, 2, 1, 4, 7, 0, 1], [0, 0, 0, 2, 1, 5, 4, 3, 0], [0, 0, 0, 2, 1, 5, 5, 1, 1], [0, 0, 0, 2, 1, 6, 2, 4, 0], [0, 0, 0, 2, 1, 6, 3, 2, 1], [0, 0, 0, 2, 1, 6, 4, 0, 2], [0, 0, 0, 2, 1, 7, 0, 5, 0], [0, 0, 0, 2, 1, 7, 1, 3, 1], [0, 0, 0, 2, 1, 7, 2, 1, 2], [0, 0, 0, 2, 1, 8, 0, 2, 2], [0, 0, 0, 2, 1, 8, 1, 0, 3], [0, 0, 0, 2, 2, 0, 11, 0, 0], [0, 0, 0, 2, 2, 1, 9, 1, 0], [0, 0, 0, 2, 2, 2, 7, 2, 0], [0, 0, 0, 2, 2, 2, 8, 0, 1], [0, 0, 0, 2, 2, 3, 5, 3, 0], [0, 0, 0, 2, 2, 3, 6, 1, 1], [0, 0, 0, 2, 2, 4, 3, 4, 0], [0, 0, 0, 2, 2, 4, 4, 2, 1], [0, 0, 0, 2, 2, 4, 5, 0, 2], [0, 0, 0, 2, 2, 5, 1, 5, 0], [0, 0, 0, 2, 2, 5, 2, 3, 1], [0, 0, 0, 2, 2, 5, 3, 1, 2], [0, 0, 0, 2, 2, 6, 0, 4, 1], [0, 0, 0, 2, 2, 6, 1, 2, 2], [0, 0, 0, 2, 2, 6, 2, 0, 3], [0, 0, 0, 2, 2, 7, 0, 1, 3], [0, 0, 0, 2, 3, 0, 8, 2, 0], [0, 0, 0, 2, 3, 0, 9, 0, 1], [0, 0, 0, 2, 3, 1, 6, 3, 0], [0, 0, 0, 2, 3, 1, 7, 1, 1], [0, 0, 0, 2, 3, 2, 4, 4, 0], [0, 0, 0, 2, 3, 2, 5, 2, 1], [0, 0, 0, 2, 3, 2, 6, 0, 2], [0, 0, 0, 2, 3, 3, 2, 5, 0], [0, 0, 0, 2, 3, 3, 3, 3, 1], [0, 0, 0, 2, 3, 3, 4, 1, 2], [0, 0, 0, 2, 3, 4, 0, 6, 0], [0, 0, 0, 2, 3, 4, 1, 4, 1], [0, 0, 0, 2, 3, 4, 2, 2, 2], [0, 0, 0, 2, 3, 4, 3, 0, 3], [0, 0, 0, 2, 3, 5, 0, 3, 2], [0, 0, 0, 2, 3, 5, 1, 1, 3], [0, 0, 0, 2, 3, 6, 0, 0, 4], [0, 0, 0, 2, 4, 0, 5, 4, 0], [0, 0, 0, 2, 4, 0, 6, 2, 1], [0, 0, 0, 2, 4, 0, 7, 0, 2], [0, 0, 0, 2, 4, 1, 3, 5, 0], [0, 0, 0, 2, 4, 1, 4, 3, 1], [0, 0, 0, 2, 4, 1, 5, 1, 2], [0, 0, 0, 2, 4, 2, 1, 6, 0], [0, 0, 0, 2, 4, 2, 2, 4, 1], [0, 0, 0, 2, 4, 2, 3, 2, 2], [0, 0, 0, 2, 4, 2, 4, 0, 3], [0, 0, 0, 2, 4, 3, 0, 5, 1], [0, 0, 0, 2, 4, 3, 1, 3, 2], [0, 0, 0, 2, 4, 3, 2, 1, 3], [0, 0, 0, 2, 4, 4, 0, 2, 3], [0, 0, 0, 2, 4, 4, 1, 0, 4], [0, 0, 0, 2, 5, 0, 2, 6, 0], [0, 0, 0, 2, 5, 0, 3, 4, 1], [0, 0, 0, 2, 5, 0, 4, 2, 2], [0, 0, 0, 2, 5, 0, 5, 0, 3], [0, 0, 0, 2, 5, 1, 0, 7, 0], [0, 0, 0, 2, 5, 1, 1, 5, 1], [0, 0, 0, 2, 5, 1, 2, 3, 2], [0, 0, 0, 2, 5, 1, 3, 1, 3], [0, 0, 0, 2, 5, 2, 0, 4, 2], [0, 0, 0, 2, 5, 2, 1, 2, 3], [0, 0, 0, 2, 5, 2, 2, 0, 4], [0, 0, 0, 2, 5, 3, 0, 1, 4], [0, 0, 0, 2, 6, 0, 0, 6, 1], [0, 0, 0, 2, 6, 0, 1, 4, 2], [0, 0, 0, 2, 6, 0, 2, 2, 3], [0, 0, 0, 2, 6, 0, 3, 0, 4], [0, 0, 0, 2, 6, 1, 0, 3, 3], [0, 0, 0, 2, 6, 1, 1, 1, 4], [0, 0, 0, 2, 6, 2, 0, 0, 5], [0, 0, 0, 2, 7, 0, 0, 2, 4], [0, 0, 0, 2, 7, 0, 1, 0, 5], [0, 0, 0, 3, 0, 1, 11, 0, 0], [0, 0, 0, 3, 0, 2, 9, 1, 0], [0, 0, 0, 3, 0, 3, 7, 2, 0], [0, 0, 0, 3, 0, 3, 8, 0, 1], [0, 0, 0, 3, 0, 4, 5, 3, 0], [0, 0, 0, 3, 0, 4, 6, 1, 1], [0, 0, 0, 3, 0, 5, 3, 4, 0], [0, 0, 0, 3, 0, 5, 4, 2, 1], [0, 0, 0, 3, 0, 5, 5, 0, 2], [0, 0, 0, 3, 0, 6, 1, 5, 0], [0, 0, 0, 3, 0, 6, 2, 3, 1], [0, 0, 0, 3, 0, 6, 3, 1, 2], [0, 0, 0, 3, 0, 7, 0, 4, 1], [0, 0, 0, 3, 0, 7, 1, 2, 2], [0, 0, 0, 3, 0, 7, 2, 0, 3], [0, 0, 0, 3, 0, 8, 0, 1, 3], [0, 0, 0, 3, 1, 0, 10, 1, 0], [0, 0, 0, 3, 1, 1, 8, 2, 0], [0, 0, 0, 3, 1, 1, 9, 0, 1], [0, 0, 0, 3, 1, 2, 6, 3, 0], [0, 0, 0, 3, 1, 2, 7, 1, 1], [0, 0, 0, 3, 1, 3, 4, 4, 0], [0, 0, 0, 3, 1, 3, 5, 2, 1], [0, 0, 0, 3, 1, 3, 6, 0, 2], [0, 0, 0, 3, 1, 4, 2, 5, 0], [0, 0, 0, 3, 1, 4, 3, 3, 1], [0, 0, 0, 3, 1, 4, 4, 1, 2], [0, 0, 0, 3, 1, 5, 0, 6, 0], [0, 0, 0, 3, 1, 5, 1, 4, 1], [0, 0, 0, 3, 1, 5, 2, 2, 2], [0, 0, 0, 3, 1, 5, 3, 0, 3], [0, 0, 0, 3, 1, 6, 0, 3, 2], [0, 0, 0, 3, 1, 6, 1, 1, 3], [0, 0, 0, 3, 1, 7, 0, 0, 4], [0, 0, 0, 3, 2, 0, 7, 3, 0], [0, 0, 0, 3, 2, 0, 8, 1, 1], [0, 0, 0, 3, 2, 1, 5, 4, 0], [0, 0, 0, 3, 2, 1, 6, 2, 1], [0, 0, 0, 3, 2, 1, 7, 0, 2], [0, 0, 0, 3, 2, 2, 3, 5, 0], [0, 0, 0, 3, 2, 2, 4, 3, 1], [0, 0, 0, 3, 2, 2, 5, 1, 2], [0, 0, 0, 3, 2, 3, 1, 6, 0], [0, 0, 0, 3, 2, 3, 2, 4, 1], [0, 0, 0, 3, 2, 3, 3, 2, 2], [0, 0, 0, 3, 2, 3, 4, 0, 3], [0, 0, 0, 3, 2, 4, 0, 5, 1], [0, 0, 0, 3, 2, 4, 1, 3, 2], [0, 0, 0, 3, 2, 4, 2, 1, 3], [0, 0, 0, 3, 2, 5, 0, 2, 3], [0, 0, 0, 3, 2, 5, 1, 0, 4], [0, 0, 0, 3, 3, 0, 4, 5, 0], [0, 0, 0, 3, 3, 0, 5, 3, 1], [0, 0, 0, 3, 3, 0, 6, 1, 2], [0, 0, 0, 3, 3, 1, 2, 6, 0], [0, 0, 0, 3, 3, 1, 3, 4, 1], [0, 0, 0, 3, 3, 1, 4, 2, 2], [0, 0, 0, 3, 3, 1, 5, 0, 3], [0, 0, 0, 3, 3, 2, 0, 7, 0], [0, 0, 0, 3, 3, 2, 1, 5, 1], [0, 0, 0, 3, 3, 2, 2, 3, 2], [0, 0, 0, 3, 3, 2, 3, 1, 3], [0, 0, 0, 3, 3, 3, 0, 4, 2], [0, 0, 0, 3, 3, 3, 1, 2, 3], [0, 0, 0, 3, 3, 3, 2, 0, 4], [0, 0, 0, 3, 3, 4, 0, 1, 4], [0, 0, 0, 3, 4, 0, 1, 7, 0], [0, 0, 0, 3, 4, 0, 2, 5, 1], [0, 0, 0, 3, 4, 0, 3, 3, 2], [0, 0, 0, 3, 4, 0, 4, 1, 3], [0, 0, 0, 3, 4, 1, 0, 6, 1], [0, 0, 0, 3, 4, 1, 1, 4, 2], [0, 0, 0, 3, 4, 1, 2, 2, 3], [0, 0, 0, 3, 4, 1, 3, 0, 4], [0, 0, 0, 3, 4, 2, 0, 3, 3], [0, 0, 0, 3, 4, 2, 1, 1, 4], [0, 0, 0, 3, 4, 3, 0, 0, 5], [0, 0, 0, 3, 5, 0, 0, 5, 2], [0, 0, 0, 3, 5, 0, 1, 3, 3], [0, 0, 0, 3, 5, 0, 2, 1, 4], [0, 0, 0, 3, 5, 1, 0, 2, 4], [0, 0, 0, 3, 5, 1, 1, 0, 5], [0, 0, 0, 3, 6, 0, 0, 1, 5], [0, 0, 0, 4, 0, 0, 9, 2, 0], [0, 0, 0, 4, 0, 0, 10, 0, 1], [0, 0, 0, 4, 0, 1, 7, 3, 0], [0, 0, 0, 4, 0, 1, 8, 1, 1], [0, 0, 0, 4, 0, 2, 5, 4, 0], [0, 0, 0, 4, 0, 2, 6, 2, 1], [0, 0, 0, 4, 0, 2, 7, 0, 2], [0, 0, 0, 4, 0, 3, 3, 5, 0], [0, 0, 0, 4, 0, 3, 4, 3, 1], [0, 0, 0, 4, 0, 3, 5, 1, 2], [0, 0, 0, 4, 0, 4, 1, 6, 0], [0, 0, 0, 4, 0, 4, 2, 4, 1], [0, 0, 0, 4, 0, 4, 3, 2, 2], [0, 0, 0, 4, 0, 4, 4, 0, 3], [0, 0, 0, 4, 0, 5, 0, 5, 1], [0, 0, 0, 4, 0, 5, 1, 3, 2], [0, 0, 0, 4, 0, 5, 2, 1, 3], [0, 0, 0, 4, 0, 6, 0, 2, 3], [0, 0, 0, 4, 0, 6, 1, 0, 4], [0, 0, 0, 4, 1, 0, 6, 4, 0], [0, 0, 0, 4, 1, 0, 7, 2, 1], [0, 0, 0, 4, 1, 0, 8, 0, 2], [0, 0, 0, 4, 1, 1, 4, 5, 0], [0, 0, 0, 4, 1, 1, 5, 3, 1], [0, 0, 0, 4, 1, 1, 6, 1, 2], [0, 0, 0, 4, 1, 2, 2, 6, 0], [0, 0, 0, 4, 1, 2, 3, 4, 1], [0, 0, 0, 4, 1, 2, 4, 2, 2], [0, 0, 0, 4, 1, 2, 5, 0, 3], [0, 0, 0, 4, 1, 3, 0, 7, 0], [0, 0, 0, 4, 1, 3, 1, 5, 1], [0, 0, 0, 4, 1, 3, 2, 3, 2], [0, 0, 0, 4, 1, 3, 3, 1, 3], [0, 0, 0, 4, 1, 4, 0, 4, 2], [0, 0, 0, 4, 1, 4, 1, 2, 3], [0, 0, 0, 4, 1, 4, 2, 0, 4], [0, 0, 0, 4, 1, 5, 0, 1, 4], [0, 0, 0, 4, 2, 0, 3, 6, 0], [0, 0, 0, 4, 2, 0, 4, 4, 1], [0, 0, 0, 4, 2, 0, 5, 2, 2], [0, 0, 0, 4, 2, 0, 6, 0, 3], [0, 0, 0, 4, 2, 1, 1, 7, 0], [0, 0, 0, 4, 2, 1, 2, 5, 1], [0, 0, 0, 4, 2, 1, 3, 3, 2], [0, 0, 0, 4, 2, 1, 4, 1, 3], [0, 0, 0, 4, 2, 2, 0, 6, 1], [0, 0, 0, 4, 2, 2, 1, 4, 2], [0, 0, 0, 4, 2, 2, 2, 2, 3], [0, 0, 0, 4, 2, 2, 3, 0, 4], [0, 0, 0, 4, 2, 3, 0, 3, 3], [0, 0, 0, 4, 2, 3, 1, 1, 4], [0, 0, 0, 4, 2, 4, 0, 0, 5], [0, 0, 0, 4, 3, 0, 0, 8, 0], [0, 0, 0, 4, 3, 0, 1, 6, 1], [0, 0, 0, 4, 3, 0, 2, 4, 2], [0, 0, 0, 4, 3, 0, 3, 2, 3], [0, 0, 0, 4, 3, 0, 4, 0, 4], [0, 0, 0, 4, 3, 1, 0, 5, 2], [0, 0, 0, 4, 3, 1, 1, 3, 3], [0, 0, 0, 4, 3, 1, 2, 1, 4], [0, 0, 0, 4, 3, 2, 0, 2, 4], [0, 0, 0, 4, 3, 2, 1, 0, 5], [0, 0, 0, 4, 4, 0, 0, 4, 3], [0, 0, 0, 4, 4, 0, 1, 2, 4], [0, 0, 0, 4, 4, 0, 2, 0, 5], [0, 0, 0, 4, 4, 1, 0, 1, 5], [0, 0, 0, 4, 5, 0, 0, 0, 6], [0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 0, 5, 0, 0, 6, 3, 1], [0, 0, 0, 5, 0, 0, 7, 1, 2], [0, 0, 0, 5, 0, 1, 3, 6, 0], [0, 0, 0, 5, 0, 1, 4, 4, 1], [0, 0, 0, 5, 0, 1, 5, 2, 2], [0, 0, 0, 5, 0, 1, 6, 0, 3], [0, 0, 0, 5, 0, 2, 1, 7, 0], [0, 0, 0, 5, 0, 2, 2, 5, 1], [0, 0, 0, 5, 0, 2, 3, 3, 2], [0, 0, 0, 5, 0, 2, 4, 1, 3], [0, 0, 0, 5, 0, 3, 0, 6, 1], [0, 0, 0, 5, 0, 3, 1, 4, 2], [0, 0, 0, 5, 0, 3, 2, 2, 3], [0, 0, 0, 5, 0, 3, 3, 0, 4], [0, 0, 0, 5, 0, 4, 0, 3, 3], [0, 0, 0, 5, 0, 4, 1, 1, 4], [0, 0, 0, 5, 0, 5, 0, 0, 5], [0, 0, 0, 5, 1, 0, 2, 7, 0], [0, 0, 0, 5, 1, 0, 3, 5, 1], [0, 0, 0, 5, 1, 0, 4, 3, 2], [0, 0, 0, 5, 1, 0, 5, 1, 3], [0, 0, 0, 5, 1, 1, 0, 8, 0], [0, 0, 0, 5, 1, 1, 1, 6, 1], [0, 0, 0, 5, 1, 1, 2, 4, 2], [0, 0, 0, 5, 1, 1, 3, 2, 3], [0, 0, 0, 5, 1, 1, 4, 0, 4], [0, 0, 0, 5, 1, 2, 0, 5, 2], [0, 0, 0, 5, 1, 2, 1, 3, 3], [0, 0, 0, 5, 1, 2, 2, 1, 4], [0, 0, 0, 5, 1, 3, 0, 2, 4], [0, 0, 0, 5, 1, 3, 1, 0, 5], [0, 0, 0, 5, 2, 0, 0, 7, 1], [0, 0, 0, 5, 2, 0, 1, 5, 2], [0, 0, 0, 5, 2, 0, 2, 3, 3], [0, 0, 0, 5, 2, 0, 3, 1, 4], [0, 0, 0, 5, 2, 1, 0, 4, 3], [0, 0, 0, 5, 2, 1, 1, 2, 4], [0, 0, 0, 5, 2, 1, 2, 0, 5], [0, 0, 0, 5, 2, 2, 0, 1, 5], [0, 0, 0, 5, 3, 0, 0, 3, 4], [0, 0, 0, 5, 3, 0, 1, 1, 5], [0, 0, 0, 5, 3, 1, 0, 0, 6], [0, 0, 0, 6, 0, 0, 1, 8, 0], [0, 0, 0, 6, 0, 0, 2, 6, 1], [0, 0, 0, 6, 0, 0, 3, 4, 2], [0, 0, 0, 6, 0, 0, 4, 2, 3], [0, 0, 0, 6, 0, 0, 5, 0, 4], [0, 0, 0, 6, 0, 1, 0, 7, 1], [0, 0, 0, 6, 0, 1, 1, 5, 2], [0, 0, 0, 6, 0, 1, 2, 3, 3], [0, 0, 0, 6, 0, 1, 3, 1, 4], [0, 0, 0, 6, 0, 2, 0, 4, 3], [0, 0, 0, 6, 0, 2, 1, 2, 4], [0, 0, 0, 6, 0, 2, 2, 0, 5], [0, 0, 0, 6, 0, 3, 0, 1, 5], [0, 0, 0, 6, 1, 0, 0, 6, 2], [0, 0, 0, 6, 1, 0, 1, 4, 3], [0, 0, 0, 6, 1, 0, 2, 2, 4], [0, 0, 0, 6, 1, 0, 3, 0, 5], [0, 0, 0, 6, 1, 1, 0, 3, 4], [0, 0, 0, 6, 1, 1, 1, 1, 5], [0, 0, 0, 6, 1, 2, 0, 0, 6], [0, 0, 0, 6, 2, 0, 0, 2, 5], [0, 0, 0, 6, 2, 0, 1, 0, 6], [0, 0, 0, 7, 0, 0, 0, 5, 3], [0, 0, 0, 7, 0, 0, 1, 3, 4], [0, 0, 0, 7, 0, 0, 2, 1, 5], [0, 0, 0, 7, 0, 1, 0, 2, 5], [0, 0, 0, 7, 0, 1, 1, 0, 6], [0, 0, 0, 7, 1, 0, 0, 1, 6], [0, 0, 0, 8, 0, 0, 0, 0, 7], [0, 0, 1, 0, 0, 6, 8, 0, 0], [0, 0, 1, 0, 0, 7, 6, 1, 0], [0, 0, 1, 0, 0, 8, 4, 2, 0], [0, 0, 1, 0, 0, 8, 5, 0, 1], [0, 0, 1, 0, 0, 9, 2, 3, 0], [0, 0, 1, 0, 0, 9, 3, 1, 1], [0, 0, 1, 0, 0, 10, 0, 4, 0], [0, 0, 1, 0, 0, 10, 1, 2, 1], [0, 0, 1, 0, 0, 10, 2, 0, 2], [0, 0, 1, 0, 0, 11, 0, 1, 2], [0, 0, 1, 0, 1, 4, 9, 0, 0], [0, 0, 1, 0, 1, 5, 7, 1, 0], [0, 0, 1, 0, 1, 6, 5, 2, 0], [0, 0, 1, 0, 1, 6, 6, 0, 1], [0, 0, 1, 0, 1, 7, 3, 3, 0], [0, 0, 1, 0, 1, 7, 4, 1, 1], [0, 0, 1, 0, 1, 8, 1, 4, 0], [0, 0, 1, 0, 1, 8, 2, 2, 1], [0, 0, 1, 0, 1, 8, 3, 0, 2], [0, 0, 1, 0, 1, 9, 0, 3, 1], [0, 0, 1, 0, 1, 9, 1, 1, 2], [0, 0, 1, 0, 1, 10, 0, 0, 3], [0, 0, 1, 0, 2, 2, 10, 0, 0], [0, 0, 1, 0, 2, 3, 8, 1, 0], [0, 0, 1, 0, 2, 4, 6, 2, 0], [0, 0, 1, 0, 2, 4, 7, 0, 1], [0, 0, 1, 0, 2, 5, 4, 3, 0], [0, 0, 1, 0, 2, 5, 5, 1, 1], [0, 0, 1, 0, 2, 6, 2, 4, 0], [0, 0, 1, 0, 2, 6, 3, 2, 1], [0, 0, 1, 0, 2, 6, 4, 0, 2], [0, 0, 1, 0, 2, 7, 0, 5, 0], [0, 0, 1, 0, 2, 7, 1, 3, 1], [0, 0, 1, 0, 2, 7, 2, 1, 2], [0, 0, 1, 0, 2, 8, 0, 2, 2], [0, 0, 1, 0, 2, 8, 1, 0, 3], [0, 0, 1, 0, 3, 0, 11, 0, 0], [0, 0, 1, 0, 3, 1, 9, 1, 0], [0, 0, 1, 0, 3, 2, 7, 2, 0], [0, 0, 1, 0, 3, 2, 8, 0, 1], [0, 0, 1, 0, 3, 3, 5, 3, 0], [0, 0, 1, 0, 3, 3, 6, 1, 1], [0, 0, 1, 0, 3, 4, 3, 4, 0], [0, 0, 1, 0, 3, 4, 4, 2, 1], [0, 0, 1, 0, 3, 4, 5, 0, 2], [0, 0, 1, 0, 3, 5, 1, 5, 0], [0, 0, 1, 0, 3, 5, 2, 3, 1], [0, 0, 1, 0, 3, 5, 3, 1, 2], [0, 0, 1, 0, 3, 6, 0, 4, 1], [0, 0, 1, 0, 3, 6, 1, 2, 2], [0, 0, 1, 0, 3, 6, 2, 0, 3], [0, 0, 1, 0, 3, 7, 0, 1, 3], [0, 0, 1, 0, 4, 0, 8, 2, 0], [0, 0, 1, 0, 4, 0, 9, 0, 1], [0, 0, 1, 0, 4, 1, 6, 3, 0], [0, 0, 1, 0, 4, 1, 7, 1, 1], [0, 0, 1, 0, 4, 2, 4, 4, 0], [0, 0, 1, 0, 4, 2, 5, 2, 1], [0, 0, 1, 0, 4, 2, 6, 0, 2], [0, 0, 1, 0, 4, 3, 2, 5, 0], [0, 0, 1, 0, 4, 3, 3, 3, 1], [0, 0, 1, 0, 4, 3, 4, 1, 2], [0, 0, 1, 0, 4, 4, 0, 6, 0], [0, 0, 1, 0, 4, 4, 1, 4, 1], [0, 0, 1, 0, 4, 4, 2, 2, 2], [0, 0, 1, 0, 4, 4, 3, 0, 3], [0, 0, 1, 0, 4, 5, 0, 3, 2], [0, 0, 1, 0, 4, 5, 1, 1, 3], [0, 0, 1, 0, 4, 6, 0, 0, 4], [0, 0, 1, 0, 5, 0, 5, 4, 0], [0, 0, 1, 0, 5, 0, 6, 2, 1], [0, 0, 1, 0, 5, 0, 7, 0, 2], [0, 0, 1, 0, 5, 1, 3, 5, 0], [0, 0, 1, 0, 5, 1, 4, 3, 1], [0, 0, 1, 0, 5, 1, 5, 1, 2], [0, 0, 1, 0, 5, 2, 1, 6, 0], [0, 0, 1, 0, 5, 2, 2, 4, 1], [0, 0, 1, 0, 5, 2, 3, 2, 2], [0, 0, 1, 0, 5, 2, 4, 0, 3], [0, 0, 1, 0, 5, 3, 0, 5, 1], [0, 0, 1, 0, 5, 3, 1, 3, 2], [0, 0, 1, 0, 5, 3, 2, 1, 3], [0, 0, 1, 0, 5, 4, 0, 2, 3], [0, 0, 1, 0, 5, 4, 1, 0, 4], [0, 0, 1, 0, 6, 0, 2, 6, 0], [0, 0, 1, 0, 6, 0, 3, 4, 1], [0, 0, 1, 0, 6, 0, 4, 2, 2], [0, 0, 1, 0, 6, 0, 5, 0, 3], [0, 0, 1, 0, 6, 1, 0, 7, 0], [0, 0, 1, 0, 6, 1, 1, 5, 1], [0, 0, 1, 0, 6, 1, 2, 3, 2], [0, 0, 1, 0, 6, 1, 3, 1, 3], [0, 0, 1, 0, 6, 2, 0, 4, 2], [0, 0, 1, 0, 6, 2, 1, 2, 3], [0, 0, 1, 0, 6, 2, 2, 0, 4], [0, 0, 1, 0, 6, 3, 0, 1, 4], [0, 0, 1, 0, 7, 0, 0, 6, 1], [0, 0, 1, 0, 7, 0, 1, 4, 2], [0, 0, 1, 0, 7, 0, 2, 2, 3], [0, 0, 1, 0, 7, 0, 3, 0, 4], [0, 0, 1, 0, 7, 1, 0, 3, 3], [0, 0, 1, 0, 7, 1, 1, 1, 4], [0, 0, 1, 0, 7, 2, 0, 0, 5], [0, 0, 1, 0, 8, 0, 0, 2, 4], [0, 0, 1, 0, 8, 0, 1, 0, 5], [0, 0, 1, 1, 0, 3, 10, 0, 0], [0, 0, 1, 1, 0, 4, 8, 1, 0], [0, 0, 1, 1, 0, 5, 6, 2, 0], [0, 0, 1, 1, 0, 5, 7, 0, 1], [0, 0, 1, 1, 0, 6, 4, 3, 0], [0, 0, 1, 1, 0, 6, 5, 1, 1], [0, 0, 1, 1, 0, 7, 2, 4, 0], [0, 0, 1, 1, 0, 7, 3, 2, 1], [0, 0, 1, 1, 0, 7, 4, 0, 2], [0, 0, 1, 1, 0, 8, 0, 5, 0], [0, 0, 1, 1, 0, 8, 1, 3, 1], [0, 0, 1, 1, 0, 8, 2, 1, 2], [0, 0, 1, 1, 0, 9, 0, 2, 2], [0, 0, 1, 1, 0, 9, 1, 0, 3], [0, 0, 1, 1, 1, 1, 11, 0, 0], [0, 0, 1, 1, 1, 2, 9, 1, 0], [0, 0, 1, 1, 1, 3, 7, 2, 0], [0, 0, 1, 1, 1, 3, 8, 0, 1], [0, 0, 1, 1, 1, 4, 5, 3, 0], [0, 0, 1, 1, 1, 4, 6, 1, 1], [0, 0, 1, 1, 1, 5, 3, 4, 0], [0, 0, 1, 1, 1, 5, 4, 2, 1], [0, 0, 1, 1, 1, 5, 5, 0, 2], [0, 0, 1, 1, 1, 6, 1, 5, 0], [0, 0, 1, 1, 1, 6, 2, 3, 1], [0, 0, 1, 1, 1, 6, 3, 1, 2], [0, 0, 1, 1, 1, 7, 0, 4, 1], [0, 0, 1, 1, 1, 7, 1, 2, 2], [0, 0, 1, 1, 1, 7, 2, 0, 3], [0, 0, 1, 1, 1, 8, 0, 1, 3], [0, 0, 1, 1, 2, 0, 10, 1, 0], [0, 0, 1, 1, 2, 1, 8, 2, 0], [0, 0, 1, 1, 2, 1, 9, 0, 1], [0, 0, 1, 1, 2, 2, 6, 3, 0], [0, 0, 1, 1, 2, 2, 7, 1, 1], [0, 0, 1, 1, 2, 3, 4, 4, 0], [0, 0, 1, 1, 2, 3, 5, 2, 1], [0, 0, 1, 1, 2, 3, 6, 0, 2], [0, 0, 1, 1, 2, 4, 2, 5, 0], [0, 0, 1, 1, 2, 4, 3, 3, 1], [0, 0, 1, 1, 2, 4, 4, 1, 2], [0, 0, 1, 1, 2, 5, 0, 6, 0], [0, 0, 1, 1, 2, 5, 1, 4, 1], [0, 0, 1, 1, 2, 5, 2, 2, 2], [0, 0, 1, 1, 2, 5, 3, 0, 3], [0, 0, 1, 1, 2, 6, 0, 3, 2], [0, 0, 1, 1, 2, 6, 1, 1, 3], [0, 0, 1, 1, 2, 7, 0, 0, 4], [0, 0, 1, 1, 3, 0, 7, 3, 0], [0, 0, 1, 1, 3, 0, 8, 1, 1], [0, 0, 1, 1, 3, 1, 5, 4, 0], [0, 0, 1, 1, 3, 1, 6, 2, 1], [0, 0, 1, 1, 3, 1, 7, 0, 2], [0, 0, 1, 1, 3, 2, 3, 5, 0], [0, 0, 1, 1, 3, 2, 4, 3, 1], [0, 0, 1, 1, 3, 2, 5, 1, 2], [0, 0, 1, 1, 3, 3, 1, 6, 0], [0, 0, 1, 1, 3, 3, 2, 4, 1], [0, 0, 1, 1, 3, 3, 3, 2, 2], [0, 0, 1, 1, 3, 3, 4, 0, 3], [0, 0, 1, 1, 3, 4, 0, 5, 1], [0, 0, 1, 1, 3, 4, 1, 3, 2], [0, 0, 1, 1, 3, 4, 2, 1, 3], [0, 0, 1, 1, 3, 5, 0, 2, 3], [0, 0, 1, 1, 3, 5, 1, 0, 4], [0, 0, 1, 1, 4, 0, 4, 5, 0], [0, 0, 1, 1, 4, 0, 5, 3, 1], [0, 0, 1, 1, 4, 0, 6, 1, 2], [0, 0, 1, 1, 4, 1, 2, 6, 0], [0, 0, 1, 1, 4, 1, 3, 4, 1], [0, 0, 1, 1, 4, 1, 4, 2, 2], [0, 0, 1, 1, 4, 1, 5, 0, 3], [0, 0, 1, 1, 4, 2, 0, 7, 0], [0, 0, 1, 1, 4, 2, 1, 5, 1], [0, 0, 1, 1, 4, 2, 2, 3, 2], [0, 0, 1, 1, 4, 2, 3, 1, 3], [0, 0, 1, 1, 4, 3, 0, 4, 2], [0, 0, 1, 1, 4, 3, 1, 2, 3], [0, 0, 1, 1, 4, 3, 2, 0, 4], [0, 0, 1, 1, 4, 4, 0, 1, 4], [0, 0, 1, 1, 5, 0, 1, 7, 0], [0, 0, 1, 1, 5, 0, 2, 5, 1], [0, 0, 1, 1, 5, 0, 3, 3, 2], [0, 0, 1, 1, 5, 0, 4, 1, 3], [0, 0, 1, 1, 5, 1, 0, 6, 1], [0, 0, 1, 1, 5, 1, 1, 4, 2], [0, 0, 1, 1, 5, 1, 2, 2, 3], [0, 0, 1, 1, 5, 1, 3, 0, 4], [0, 0, 1, 1, 5, 2, 0, 3, 3], [0, 0, 1, 1, 5, 2, 1, 1, 4], [0, 0, 1, 1, 5, 3, 0, 0, 5], [0, 0, 1, 1, 6, 0, 0, 5, 2], [0, 0, 1, 1, 6, 0, 1, 3, 3], [0, 0, 1, 1, 6, 0, 2, 1, 4], [0, 0, 1, 1, 6, 1, 0, 2, 4], [0, 0, 1, 1, 6, 1, 1, 0, 5], [0, 0, 1, 1, 7, 0, 0, 1, 5], [0, 0, 1, 2, 0, 0, 12, 0, 0], [0, 0, 1, 2, 0, 1, 10, 1, 0], [0, 0, 1, 2, 0, 2, 8, 2, 0], [0, 0, 1, 2, 0, 2, 9, 0, 1], [0, 0, 1, 2, 0, 3, 6, 3, 0], [0, 0, 1, 2, 0, 3, 7, 1, 1], [0, 0, 1, 2, 0, 4, 4, 4, 0], [0, 0, 1, 2, 0, 4, 5, 2, 1], [0, 0, 1, 2, 0, 4, 6, 0, 2], [0, 0, 1, 2, 0, 5, 2, 5, 0], [0, 0, 1, 2, 0, 5, 3, 3, 1], [0, 0, 1, 2, 0, 5, 4, 1, 2], [0, 0, 1, 2, 0, 6, 0, 6, 0], [0, 0, 1, 2, 0, 6, 1, 4, 1], [0, 0, 1, 2, 0, 6, 2, 2, 2], [0, 0, 1, 2, 0, 6, 3, 0, 3], [0, 0, 1, 2, 0, 7, 0, 3, 2], [0, 0, 1, 2, 0, 7, 1, 1, 3], [0, 0, 1, 2, 0, 8, 0, 0, 4], [0, 0, 1, 2, 1, 0, 9, 2, 0], [0, 0, 1, 2, 1, 0, 10, 0, 1], [0, 0, 1, 2, 1, 1, 7, 3, 0], [0, 0, 1, 2, 1, 1, 8, 1, 1], [0, 0, 1, 2, 1, 2, 5, 4, 0], [0, 0, 1, 2, 1, 2, 6, 2, 1], [0, 0, 1, 2, 1, 2, 7, 0, 2], [0, 0, 1, 2, 1, 3, 3, 5, 0], [0, 0, 1, 2, 1, 3, 4, 3, 1], [0, 0, 1, 2, 1, 3, 5, 1, 2], [0, 0, 1, 2, 1, 4, 1, 6, 0], [0, 0, 1, 2, 1, 4, 2, 4, 1], [0, 0, 1, 2, 1, 4, 3, 2, 2], [0, 0, 1, 2, 1, 4, 4, 0, 3], [0, 0, 1, 2, 1, 5, 0, 5, 1], [0, 0, 1, 2, 1, 5, 1, 3, 2], [0, 0, 1, 2, 1, 5, 2, 1, 3], [0, 0, 1, 2, 1, 6, 0, 2, 3], [0, 0, 1, 2, 1, 6, 1, 0, 4], [0, 0, 1, 2, 2, 0, 6, 4, 0], [0, 0, 1, 2, 2, 0, 7, 2, 1], [0, 0, 1, 2, 2, 0, 8, 0, 2], [0, 0, 1, 2, 2, 1, 4, 5, 0], [0, 0, 1, 2, 2, 1, 5, 3, 1], [0, 0, 1, 2, 2, 1, 6, 1, 2], [0, 0, 1, 2, 2, 2, 2, 6, 0], [0, 0, 1, 2, 2, 2, 3, 4, 1], [0, 0, 1, 2, 2, 2, 4, 2, 2], [0, 0, 1, 2, 2, 2, 5, 0, 3], [0, 0, 1, 2, 2, 3, 0, 7, 0], [0, 0, 1, 2, 2, 3, 1, 5, 1], [0, 0, 1, 2, 2, 3, 2, 3, 2], [0, 0, 1, 2, 2, 3, 3, 1, 3], [0, 0, 1, 2, 2, 4, 0, 4, 2], [0, 0, 1, 2, 2, 4, 1, 2, 3], [0, 0, 1, 2, 2, 4, 2, 0, 4], [0, 0, 1, 2, 2, 5, 0, 1, 4], [0, 0, 1, 2, 3, 0, 3, 6, 0], [0, 0, 1, 2, 3, 0, 4, 4, 1], [0, 0, 1, 2, 3, 0, 5, 2, 2], [0, 0, 1, 2, 3, 0, 6, 0, 3], [0, 0, 1, 2, 3, 1, 1, 7, 0], [0, 0, 1, 2, 3, 1, 2, 5, 1], [0, 0, 1, 2, 3, 1, 3, 3, 2], [0, 0, 1, 2, 3, 1, 4, 1, 3], [0, 0, 1, 2, 3, 2, 0, 6, 1], [0, 0, 1, 2, 3, 2, 1, 4, 2], [0, 0, 1, 2, 3, 2, 2, 2, 3], [0, 0, 1, 2, 3, 2, 3, 0, 4], [0, 0, 1, 2, 3, 3, 0, 3, 3], [0, 0, 1, 2, 3, 3, 1, 1, 4], [0, 0, 1, 2, 3, 4, 0, 0, 5], [0, 0, 1, 2, 4, 0, 0, 8, 0], [0, 0, 1, 2, 4, 0, 1, 6, 1], [0, 0, 1, 2, 4, 0, 2, 4, 2], [0, 0, 1, 2, 4, 0, 3, 2, 3], [0, 0, 1, 2, 4, 0, 4, 0, 4], [0, 0, 1, 2, 4, 1, 0, 5, 2], [0, 0, 1, 2, 4, 1, 1, 3, 3], [0, 0, 1, 2, 4, 1, 2, 1, 4], [0, 0, 1, 2, 4, 2, 0, 2, 4], [0, 0, 1, 2, 4, 2, 1, 0, 5], [0, 0, 1, 2, 5, 0, 0, 4, 3], [0, 0, 1, 2, 5, 0, 1, 2, 4], [0, 0, 1, 2, 5, 0, 2, 0, 5], [0, 0, 1, 2, 5, 1, 0, 1, 5], [0, 0, 1, 2, 6, 0, 0, 0, 6], [0, 0, 1, 3, 0, 0, 8, 3, 0], [0, 0, 1, 3, 0, 0, 9, 1, 1], [0, 0, 1, 3, 0, 1, 6, 4, 0], [0, 0, 1, 3, 0, 1, 7, 2, 1], [0, 0, 1, 3, 0, 1, 8, 0, 2], [0, 0, 1, 3, 0, 2, 4, 5, 0], [0, 0, 1, 3, 0, 2, 5, 3, 1], [0, 0, 1, 3, 0, 2, 6, 1, 2], [0, 0, 1, 3, 0, 3, 2, 6, 0], [0, 0, 1, 3, 0, 3, 3, 4, 1], [0, 0, 1, 3, 0, 3, 4, 2, 2], [0, 0, 1, 3, 0, 3, 5, 0, 3], [0, 0, 1, 3, 0, 4, 0, 7, 0], [0, 0, 1, 3, 0, 4, 1, 5, 1], [0, 0, 1, 3, 0, 4, 2, 3, 2], [0, 0, 1, 3, 0, 4, 3, 1, 3], [0, 0, 1, 3, 0, 5, 0, 4, 2], [0, 0, 1, 3, 0, 5, 1, 2, 3], [0, 0, 1, 3, 0, 5, 2, 0, 4], [0, 0, 1, 3, 0, 6, 0, 1, 4], [0, 0, 1, 3, 1, 0, 5, 5, 0], [0, 0, 1, 3, 1, 0, 6, 3, 1], [0, 0, 1, 3, 1, 0, 7, 1, 2], [0, 0, 1, 3, 1, 1, 3, 6, 0], [0, 0, 1, 3, 1, 1, 4, 4, 1], [0, 0, 1, 3, 1, 1, 5, 2, 2], [0, 0, 1, 3, 1, 1, 6, 0, 3], [0, 0, 1, 3, 1, 2, 1, 7, 0], [0, 0, 1, 3, 1, 2, 2, 5, 1], [0, 0, 1, 3, 1, 2, 3, 3, 2], [0, 0, 1, 3, 1, 2, 4, 1, 3], [0, 0, 1, 3, 1, 3, 0, 6, 1], [0, 0, 1, 3, 1, 3, 1, 4, 2], [0, 0, 1, 3, 1, 3, 2, 2, 3], [0, 0, 1, 3, 1, 3, 3, 0, 4], [0, 0, 1, 3, 1, 4, 0, 3, 3], [0, 0, 1, 3, 1, 4, 1, 1, 4], [0, 0, 1, 3, 1, 5, 0, 0, 5], [0, 0, 1, 3, 2, 0, 2, 7, 0], [0, 0, 1, 3, 2, 0, 3, 5, 1], [0, 0, 1, 3, 2, 0, 4, 3, 2], [0, 0, 1, 3, 2, 0, 5, 1, 3], [0, 0, 1, 3, 2, 1, 0, 8, 0], [0, 0, 1, 3, 2, 1, 1, 6, 1], [0, 0, 1, 3, 2, 1, 2, 4, 2], [0, 0, 1, 3, 2, 1, 3, 2, 3], [0, 0, 1, 3, 2, 1, 4, 0, 4], [0, 0, 1, 3, 2, 2, 0, 5, 2], [0, 0, 1, 3, 2, 2, 1, 3, 3], [0, 0, 1, 3, 2, 2, 2, 1, 4], [0, 0, 1, 3, 2, 3, 0, 2, 4], [0, 0, 1, 3, 2, 3, 1, 0, 5], [0, 0, 1, 3, 3, 0, 0, 7, 1], [0, 0, 1, 3, 3, 0, 1, 5, 2], [0, 0, 1, 3, 3, 0, 2, 3, 3], [0, 0, 1, 3, 3, 0, 3, 1, 4], [0, 0, 1, 3, 3, 1, 0, 4, 3], [0, 0, 1, 3, 3, 1, 1, 2, 4], [0, 0, 1, 3, 3, 1, 2, 0, 5], [0, 0, 1, 3, 3, 2, 0, 1, 5], [0, 0, 1, 3, 4, 0, 0, 3, 4], [0, 0, 1, 3, 4, 0, 1, 1, 5], [0, 0, 1, 3, 4, 1, 0, 0, 6], [0, 0, 1, 4, 0, 0, 4, 6, 0], [0, 0, 1, 4, 0, 0, 5, 4, 1], [0, 0, 1, 4, 0, 0, 6, 2, 2], [0, 0, 1, 4, 0, 0, 7, 0, 3], [0, 0, 1, 4, 0, 1, 2, 7, 0], [0, 0, 1, 4, 0, 1, 3, 5, 1], [0, 0, 1, 4, 0, 1, 4, 3, 2], [0, 0, 1, 4, 0, 1, 5, 1, 3], [0, 0, 1, 4, 0, 2, 0, 8, 0], [0, 0, 1, 4, 0, 2, 1, 6, 1], [0, 0, 1, 4, 0, 2, 2, 4, 2], [0, 0, 1, 4, 0, 2, 3, 2, 3], [0, 0, 1, 4, 0, 2, 4, 0, 4], [0, 0, 1, 4, 0, 3, 0, 5, 2], [0, 0, 1, 4, 0, 3, 1, 3, 3], [0, 0, 1, 4, 0, 3, 2, 1, 4], [0, 0, 1, 4, 0, 4, 0, 2, 4], [0, 0, 1, 4, 0, 4, 1, 0, 5], [0, 0, 1, 4, 1, 0, 1, 8, 0], [0, 0, 1, 4, 1, 0, 2, 6, 1], [0, 0, 1, 4, 1, 0, 3, 4, 2], [0, 0, 1, 4, 1, 0, 4, 2, 3], [0, 0, 1, 4, 1, 0, 5, 0, 4], [0, 0, 1, 4, 1, 1, 0, 7, 1], [0, 0, 1, 4, 1, 1, 1, 5, 2], [0, 0, 1, 4, 1, 1, 2, 3, 3], [0, 0, 1, 4, 1, 1, 3, 1, 4], [0, 0, 1, 4, 1, 2, 0, 4, 3], [0, 0, 1, 4, 1, 2, 1, 2, 4], [0, 0, 1, 4, 1, 2, 2, 0, 5], [0, 0, 1, 4, 1, 3, 0, 1, 5], [0, 0, 1, 4, 2, 0, 0, 6, 2], [0, 0, 1, 4, 2, 0, 1, 4, 3], [0, 0, 1, 4, 2, 0, 2, 2, 4], [0, 0, 1, 4, 2, 0, 3, 0, 5], [0, 0, 1, 4, 2, 1, 0, 3, 4], [0, 0, 1, 4, 2, 1, 1, 1, 5], [0, 0, 1, 4, 2, 2, 0, 0, 6], [0, 0, 1, 4, 3, 0, 0, 2, 5], [0, 0, 1, 4, 3, 0, 1, 0, 6], [0, 0, 1, 5, 0, 0, 0, 9, 0], [0, 0, 1, 5, 0, 0, 1, 7, 1], [0, 0, 1, 5, 0, 0, 2, 5, 2], [0, 0, 1, 5, 0, 0, 3, 3, 3], [0, 0, 1, 5, 0, 0, 4, 1, 4], [0, 0, 1, 5, 0, 1, 0, 6, 2], [0, 0, 1, 5, 0, 1, 1, 4, 3], [0, 0, 1, 5, 0, 1, 2, 2, 4], [0, 0, 1, 5, 0, 1, 3, 0, 5], [0, 0, 1, 5, 0, 2, 0, 3, 4], [0, 0, 1, 5, 0, 2, 1, 1, 5], [0, 0, 1, 5, 0, 3, 0, 0, 6], [0, 0, 1, 5, 1, 0, 0, 5, 3], [0, 0, 1, 5, 1, 0, 1, 3, 4], [0, 0, 1, 5, 1, 0, 2, 1, 5], [0, 0, 1, 5, 1, 1, 0, 2, 5], [0, 0, 1, 5, 1, 1, 1, 0, 6], [0, 0, 1, 5, 2, 0, 0, 1, 6], [0, 0, 1, 6, 0, 0, 0, 4, 4], [0, 0, 1, 6, 0, 0, 1, 2, 5], [0, 0, 1, 6, 0, 0, 2, 0, 6], [0, 0, 1, 6, 0, 1, 0, 1, 6], [0, 0, 1, 6, 1, 0, 0, 0, 7], [0, 0, 2, 0, 0, 2, 11, 0, 0], [0, 0, 2, 0, 0, 3, 9, 1, 0], [0, 0, 2, 0, 0, 4, 7, 2, 0], [0, 0, 2, 0, 0, 4, 8, 0, 1], [0, 0, 2, 0, 0, 5, 5, 3, 0], [0, 0, 2, 0, 0, 5, 6, 1, 1], [0, 0, 2, 0, 0, 6, 3, 4, 0], [0, 0, 2, 0, 0, 6, 4, 2, 1], [0, 0, 2, 0, 0, 6, 5, 0, 2], [0, 0, 2, 0, 0, 7, 1, 5, 0], [0, 0, 2, 0, 0, 7, 2, 3, 1], [0, 0, 2, 0, 0, 7, 3, 1, 2], [0, 0, 2, 0, 0, 8, 0, 4, 1], [0, 0, 2, 0, 0, 8, 1, 2, 2], [0, 0, 2, 0, 0, 8, 2, 0, 3], [0, 0, 2, 0, 0, 9, 0, 1, 3], [0, 0, 2, 0, 1, 0, 12, 0, 0], [0, 0, 2, 0, 1, 1, 10, 1, 0], [0, 0, 2, 0, 1, 2, 8, 2, 0], [0, 0, 2, 0, 1, 2, 9, 0, 1], [0, 0, 2, 0, 1, 3, 6, 3, 0], [0, 0, 2, 0, 1, 3, 7, 1, 1], [0, 0, 2, 0, 1, 4, 4, 4, 0], [0, 0, 2, 0, 1, 4, 5, 2, 1], [0, 0, 2, 0, 1, 4, 6, 0, 2], [0, 0, 2, 0, 1, 5, 2, 5, 0], [0, 0, 2, 0, 1, 5, 3, 3, 1], [0, 0, 2, 0, 1, 5, 4, 1, 2], [0, 0, 2, 0, 1, 6, 0, 6, 0], [0, 0, 2, 0, 1, 6, 1, 4, 1], [0, 0, 2, 0, 1, 6, 2, 2, 2], [0, 0, 2, 0, 1, 6, 3, 0, 3], [0, 0, 2, 0, 1, 7, 0, 3, 2], [0, 0, 2, 0, 1, 7, 1, 1, 3], [0, 0, 2, 0, 1, 8, 0, 0, 4], [0, 0, 2, 0, 2, 0, 9, 2, 0], [0, 0, 2, 0, 2, 0, 10, 0, 1], [0, 0, 2, 0, 2, 1, 7, 3, 0], [0, 0, 2, 0, 2, 1, 8, 1, 1], [0, 0, 2, 0, 2, 2, 5, 4, 0], [0, 0, 2, 0, 2, 2, 6, 2, 1], [0, 0, 2, 0, 2, 2, 7, 0, 2], [0, 0, 2, 0, 2, 3, 3, 5, 0], [0, 0, 2, 0, 2, 3, 4, 3, 1], [0, 0, 2, 0, 2, 3, 5, 1, 2], [0, 0, 2, 0, 2, 4, 1, 6, 0], [0, 0, 2, 0, 2, 4, 2, 4, 1], [0, 0, 2, 0, 2, 4, 3, 2, 2], [0, 0, 2, 0, 2, 4, 4, 0, 3], [0, 0, 2, 0, 2, 5, 0, 5, 1], [0, 0, 2, 0, 2, 5, 1, 3, 2], [0, 0, 2, 0, 2, 5, 2, 1, 3], [0, 0, 2, 0, 2, 6, 0, 2, 3], [0, 0, 2, 0, 2, 6, 1, 0, 4], [0, 0, 2, 0, 3, 0, 6, 4, 0], [0, 0, 2, 0, 3, 0, 7, 2, 1], [0, 0, 2, 0, 3, 0, 8, 0, 2], [0, 0, 2, 0, 3, 1, 4, 5, 0], [0, 0, 2, 0, 3, 1, 5, 3, 1], [0, 0, 2, 0, 3, 1, 6, 1, 2], [0, 0, 2, 0, 3, 2, 2, 6, 0], [0, 0, 2, 0, 3, 2, 3, 4, 1], [0, 0, 2, 0, 3, 2, 4, 2, 2], [0, 0, 2, 0, 3, 2, 5, 0, 3], [0, 0, 2, 0, 3, 3, 0, 7, 0], [0, 0, 2, 0, 3, 3, 1, 5, 1], [0, 0, 2, 0, 3, 3, 2, 3, 2], [0, 0, 2, 0, 3, 3, 3, 1, 3], [0, 0, 2, 0, 3, 4, 0, 4, 2], [0, 0, 2, 0, 3, 4, 1, 2, 3], [0, 0, 2, 0, 3, 4, 2, 0, 4], [0, 0, 2, 0, 3, 5, 0, 1, 4], [0, 0, 2, 0, 4, 0, 3, 6, 0], [0, 0, 2, 0, 4, 0, 4, 4, 1], [0, 0, 2, 0, 4, 0, 5, 2, 2], [0, 0, 2, 0, 4, 0, 6, 0, 3], [0, 0, 2, 0, 4, 1, 1, 7, 0], [0, 0, 2, 0, 4, 1, 2, 5, 1], [0, 0, 2, 0, 4, 1, 3, 3, 2], [0, 0, 2, 0, 4, 1, 4, 1, 3], [0, 0, 2, 0, 4, 2, 0, 6, 1], [0, 0, 2, 0, 4, 2, 1, 4, 2], [0, 0, 2, 0, 4, 2, 2, 2, 3], [0, 0, 2, 0, 4, 2, 3, 0, 4], [0, 0, 2, 0, 4, 3, 0, 3, 3], [0, 0, 2, 0, 4, 3, 1, 1, 4], [0, 0, 2, 0, 4, 4, 0, 0, 5], [0, 0, 2, 0, 5, 0, 0, 8, 0], [0, 0, 2, 0, 5, 0, 1, 6, 1], [0, 0, 2, 0, 5, 0, 2, 4, 2], [0, 0, 2, 0, 5, 0, 3, 2, 3], [0, 0, 2, 0, 5, 0, 4, 0, 4], [0, 0, 2, 0, 5, 1, 0, 5, 2], [0, 0, 2, 0, 5, 1, 1, 3, 3], [0, 0, 2, 0, 5, 1, 2, 1, 4], [0, 0, 2, 0, 5, 2, 0, 2, 4], [0, 0, 2, 0, 5, 2, 1, 0, 5], [0, 0, 2, 0, 6, 0, 0, 4, 3], [0, 0, 2, 0, 6, 0, 1, 2, 4], [0, 0, 2, 0, 6, 0, 2, 0, 5], [0, 0, 2, 0, 6, 1, 0, 1, 5], [0, 0, 2, 0, 7, 0, 0, 0, 6], [0, 0, 2, 1, 0, 0, 11, 1, 0], [0, 0, 2, 1, 0, 1, 9, 2, 0], [0, 0, 2, 1, 0, 1, 10, 0, 1], [0, 0, 2, 1, 0, 2, 7, 3, 0], [0, 0, 2, 1, 0, 2, 8, 1, 1], [0, 0, 2, 1, 0, 3, 5, 4, 0], [0, 0, 2, 1, 0, 3, 6, 2, 1], [0, 0, 2, 1, 0, 3, 7, 0, 2], [0, 0, 2, 1, 0, 4, 3, 5, 0], [0, 0, 2, 1, 0, 4, 4, 3, 1], [0, 0, 2, 1, 0, 4, 5, 1, 2], [0, 0, 2, 1, 0, 5, 1, 6, 0], [0, 0, 2, 1, 0, 5, 2, 4, 1], [0, 0, 2, 1, 0, 5, 3, 2, 2], [0, 0, 2, 1, 0, 5, 4, 0, 3], [0, 0, 2, 1, 0, 6, 0, 5, 1], [0, 0, 2, 1, 0, 6, 1, 3, 2], [0, 0, 2, 1, 0, 6, 2, 1, 3], [0, 0, 2, 1, 0, 7, 0, 2, 3], [0, 0, 2, 1, 0, 7, 1, 0, 4], [0, 0, 2, 1, 1, 0, 8, 3, 0], [0, 0, 2, 1, 1, 0, 9, 1, 1], [0, 0, 2, 1, 1, 1, 6, 4, 0], [0, 0, 2, 1, 1, 1, 7, 2, 1], [0, 0, 2, 1, 1, 1, 8, 0, 2], [0, 0, 2, 1, 1, 2, 4, 5, 0], [0, 0, 2, 1, 1, 2, 5, 3, 1], [0, 0, 2, 1, 1, 2, 6, 1, 2], [0, 0, 2, 1, 1, 3, 2, 6, 0], [0, 0, 2, 1, 1, 3, 3, 4, 1], [0, 0, 2, 1, 1, 3, 4, 2, 2], [0, 0, 2, 1, 1, 3, 5, 0, 3], [0, 0, 2, 1, 1, 4, 0, 7, 0], [0, 0, 2, 1, 1, 4, 1, 5, 1], [0, 0, 2, 1, 1, 4, 2, 3, 2], [0, 0, 2, 1, 1, 4, 3, 1, 3], [0, 0, 2, 1, 1, 5, 0, 4, 2], [0, 0, 2, 1, 1, 5, 1, 2, 3], [0, 0, 2, 1, 1, 5, 2, 0, 4], [0, 0, 2, 1, 1, 6, 0, 1, 4], [0, 0, 2, 1, 2, 0, 5, 5, 0], [0, 0, 2, 1, 2, 0, 6, 3, 1], [0, 0, 2, 1, 2, 0, 7, 1, 2], [0, 0, 2, 1, 2, 1, 3, 6, 0], [0, 0, 2, 1, 2, 1, 4, 4, 1], [0, 0, 2, 1, 2, 1, 5, 2, 2], [0, 0, 2, 1, 2, 1, 6, 0, 3], [0, 0, 2, 1, 2, 2, 1, 7, 0], [0, 0, 2, 1, 2, 2, 2, 5, 1], [0, 0, 2, 1, 2, 2, 3, 3, 2], [0, 0, 2, 1, 2, 2, 4, 1, 3], [0, 0, 2, 1, 2, 3, 0, 6, 1], [0, 0, 2, 1, 2, 3, 1, 4, 2], [0, 0, 2, 1, 2, 3, 2, 2, 3], [0, 0, 2, 1, 2, 3, 3, 0, 4], [0, 0, 2, 1, 2, 4, 0, 3, 3], [0, 0, 2, 1, 2, 4, 1, 1, 4], [0, 0, 2, 1, 2, 5, 0, 0, 5], [0, 0, 2, 1, 3, 0, 2, 7, 0], [0, 0, 2, 1, 3, 0, 3, 5, 1], [0, 0, 2, 1, 3, 0, 4, 3, 2], [0, 0, 2, 1, 3, 0, 5, 1, 3], [0, 0, 2, 1, 3, 1, 0, 8, 0], [0, 0, 2, 1, 3, 1, 1, 6, 1], [0, 0, 2, 1, 3, 1, 2, 4, 2], [0, 0, 2, 1, 3, 1, 3, 2, 3], [0, 0, 2, 1, 3, 1, 4, 0, 4], [0, 0, 2, 1, 3, 2, 0, 5, 2], [0, 0, 2, 1, 3, 2, 1, 3, 3], [0, 0, 2, 1, 3, 2, 2, 1, 4], [0, 0, 2, 1, 3, 3, 0, 2, 4], [0, 0, 2, 1, 3, 3, 1, 0, 5], [0, 0, 2, 1, 4, 0, 0, 7, 1], [0, 0, 2, 1, 4, 0, 1, 5, 2], [0, 0, 2, 1, 4, 0, 2, 3, 3], [0, 0, 2, 1, 4, 0, 3, 1, 4], [0, 0, 2, 1, 4, 1, 0, 4, 3], [0, 0, 2, 1, 4, 1, 1, 2, 4], [0, 0, 2, 1, 4, 1, 2, 0, 5], [0, 0, 2, 1, 4, 2, 0, 1, 5], [0, 0, 2, 1, 5, 0, 0, 3, 4], [0, 0, 2, 1, 5, 0, 1, 1, 5], [0, 0, 2, 1, 5, 1, 0, 0, 6], [0, 0, 2, 2, 0, 0, 7, 4, 0], [0, 0, 2, 2, 0, 0, 8, 2, 1], [0, 0, 2, 2, 0, 0, 9, 0, 2], [0, 0, 2, 2, 0, 1, 5, 5, 0], [0, 0, 2, 2, 0, 1, 6, 3, 1], [0, 0, 2, 2, 0, 1, 7, 1, 2], [0, 0, 2, 2, 0, 2, 3, 6, 0], [0, 0, 2, 2, 0, 2, 4, 4, 1], [0, 0, 2, 2, 0, 2, 5, 2, 2], [0, 0, 2, 2, 0, 2, 6, 0, 3], [0, 0, 2, 2, 0, 3, 1, 7, 0], [0, 0, 2, 2, 0, 3, 2, 5, 1], [0, 0, 2, 2, 0, 3, 3, 3, 2], [0, 0, 2, 2, 0, 3, 4, 1, 3], [0, 0, 2, 2, 0, 4, 0, 6, 1], [0, 0, 2, 2, 0, 4, 1, 4, 2], [0, 0, 2, 2, 0, 4, 2, 2, 3], [0, 0, 2, 2, 0, 4, 3, 0, 4], [0, 0, 2, 2, 0, 5, 0, 3, 3], [0, 0, 2, 2, 0, 5, 1, 1, 4], [0, 0, 2, 2, 0, 6, 0, 0, 5], [0, 0, 2, 2, 1, 0, 4, 6, 0], [0, 0, 2, 2, 1, 0, 5, 4, 1], [0, 0, 2, 2, 1, 0, 6, 2, 2], [0, 0, 2, 2, 1, 0, 7, 0, 3], [0, 0, 2, 2, 1, 1, 2, 7, 0], [0, 0, 2, 2, 1, 1, 3, 5, 1], [0, 0, 2, 2, 1, 1, 4, 3, 2], [0, 0, 2, 2, 1, 1, 5, 1, 3], [0, 0, 2, 2, 1, 2, 0, 8, 0], [0, 0, 2, 2, 1, 2, 1, 6, 1], [0, 0, 2, 2, 1, 2, 2, 4, 2], [0, 0, 2, 2, 1, 2, 3, 2, 3], [0, 0, 2, 2, 1, 2, 4, 0, 4], [0, 0, 2, 2, 1, 3, 0, 5, 2], [0, 0, 2, 2, 1, 3, 1, 3, 3], [0, 0, 2, 2, 1, 3, 2, 1, 4], [0, 0, 2, 2, 1, 4, 0, 2, 4], [0, 0, 2, 2, 1, 4, 1, 0, 5], [0, 0, 2, 2, 2, 0, 1, 8, 0], [0, 0, 2, 2, 2, 0, 2, 6, 1], [0, 0, 2, 2, 2, 0, 3, 4, 2], [0, 0, 2, 2, 2, 0, 4, 2, 3], [0, 0, 2, 2, 2, 0, 5, 0, 4], [0, 0, 2, 2, 2, 1, 0, 7, 1], [0, 0, 2, 2, 2, 1, 1, 5, 2], [0, 0, 2, 2, 2, 1, 2, 3, 3], [0, 0, 2, 2, 2, 1, 3, 1, 4], [0, 0, 2, 2, 2, 2, 0, 4, 3], [0, 0, 2, 2, 2, 2, 1, 2, 4], [0, 0, 2, 2, 2, 2, 2, 0, 5], [0, 0, 2, 2, 2, 3, 0, 1, 5], [0, 0, 2, 2, 3, 0, 0, 6, 2], [0, 0, 2, 2, 3, 0, 1, 4, 3], [0, 0, 2, 2, 3, 0, 2, 2, 4], [0, 0, 2, 2, 3, 0, 3, 0, 5], [0, 0, 2, 2, 3, 1, 0, 3, 4], [0, 0, 2, 2, 3, 1, 1, 1, 5], [0, 0, 2, 2, 3, 2, 0, 0, 6], [0, 0, 2, 2, 4, 0, 0, 2, 5], [0, 0, 2, 2, 4, 0, 1, 0, 6], [0, 0, 2, 3, 0, 0, 3, 7, 0], [0, 0, 2, 3, 0, 0, 4, 5, 1], [0, 0, 2, 3, 0, 0, 5, 3, 2], [0, 0, 2, 3, 0, 0, 6, 1, 3], [0, 0, 2, 3, 0, 1, 1, 8, 0], [0, 0, 2, 3, 0, 1, 2, 6, 1], [0, 0, 2, 3, 0, 1, 3, 4, 2], [0, 0, 2, 3, 0, 1, 4, 2, 3], [0, 0, 2, 3, 0, 1, 5, 0, 4], [0, 0, 2, 3, 0, 2, 0, 7, 1], [0, 0, 2, 3, 0, 2, 1, 5, 2], [0, 0, 2, 3, 0, 2, 2, 3, 3], [0, 0, 2, 3, 0, 2, 3, 1, 4], [0, 0, 2, 3, 0, 3, 0, 4, 3], [0, 0, 2, 3, 0, 3, 1, 2, 4], [0, 0, 2, 3, 0, 3, 2, 0, 5], [0, 0, 2, 3, 0, 4, 0, 1, 5], [0, 0, 2, 3, 1, 0, 0, 9, 0], [0, 0, 2, 3, 1, 0, 1, 7, 1], [0, 0, 2, 3, 1, 0, 2, 5, 2], [0, 0, 2, 3, 1, 0, 3, 3, 3], [0, 0, 2, 3, 1, 0, 4, 1, 4], [0, 0, 2, 3, 1, 1, 0, 6, 2], [0, 0, 2, 3, 1, 1, 1, 4, 3], [0, 0, 2, 3, 1, 1, 2, 2, 4], [0, 0, 2, 3, 1, 1, 3, 0, 5], [0, 0, 2, 3, 1, 2, 0, 3, 4], [0, 0, 2, 3, 1, 2, 1, 1, 5], [0, 0, 2, 3, 1, 3, 0, 0, 6], [0, 0, 2, 3, 2, 0, 0, 5, 3], [0, 0, 2, 3, 2, 0, 1, 3, 4], [0, 0, 2, 3, 2, 0, 2, 1, 5], [0, 0, 2, 3, 2, 1, 0, 2, 5], [0, 0, 2, 3, 2, 1, 1, 0, 6], [0, 0, 2, 3, 3, 0, 0, 1, 6], [0, 0, 2, 4, 0, 0, 0, 8, 1], [0, 0, 2, 4, 0, 0, 1, 6, 2], [0, 0, 2, 4, 0, 0, 2, 4, 3], [0, 0, 2, 4, 0, 0, 3, 2, 4], [0, 0, 2, 4, 0, 0, 4, 0, 5], [0, 0, 2, 4, 0, 1, 0, 5, 3], [0, 0, 2, 4, 0, 1, 1, 3, 4], [0, 0, 2, 4, 0, 1, 2, 1, 5], [0, 0, 2, 4, 0, 2, 0, 2, 5], [0, 0, 2, 4, 0, 2, 1, 0, 6], [0, 0, 2, 4, 1, 0, 0, 4, 4], [0, 0, 2, 4, 1, 0, 1, 2, 5], [0, 0, 2, 4, 1, 0, 2, 0, 6], [0, 0, 2, 4, 1, 1, 0, 1, 6], [0, 0, 2, 4, 2, 0, 0, 0, 7], [0, 0, 2, 5, 0, 0, 0, 3, 5], [0, 0, 2, 5, 0, 0, 1, 1, 6], [0, 0, 2, 5, 0, 1, 0, 0, 7], [0, 0, 3, 0, 0, 0, 10, 2, 0], [0, 0, 3, 0, 0, 0, 11, 0, 1], [0, 0, 3, 0, 0, 1, 8, 3, 0], [0, 0, 3, 0, 0, 1, 9, 1, 1], [0, 0, 3, 0, 0, 2, 6, 4, 0], [0, 0, 3, 0, 0, 2, 7, 2, 1], [0, 0, 3, 0, 0, 2, 8, 0, 2], [0, 0, 3, 0, 0, 3, 4, 5, 0], [0, 0, 3, 0, 0, 3, 5, 3, 1], [0, 0, 3, 0, 0, 3, 6, 1, 2], [0, 0, 3, 0, 0, 4, 2, 6, 0], [0, 0, 3, 0, 0, 4, 3, 4, 1], [0, 0, 3, 0, 0, 4, 4, 2, 2], [0, 0, 3, 0, 0, 4, 5, 0, 3], [0, 0, 3, 0, 0, 5, 0, 7, 0], [0, 0, 3, 0, 0, 5, 1, 5, 1], [0, 0, 3, 0, 0, 5, 2, 3, 2], [0, 0, 3, 0, 0, 5, 3, 1, 3], [0, 0, 3, 0, 0, 6, 0, 4, 2], [0, 0, 3, 0, 0, 6, 1, 2, 3], [0, 0, 3, 0, 0, 6, 2, 0, 4], [0, 0, 3, 0, 0, 7, 0, 1, 4], [0, 0, 3, 0, 1, 0, 7, 4, 0], [0, 0, 3, 0, 1, 0, 8, 2, 1], [0, 0, 3, 0, 1, 0, 9, 0, 2], [0, 0, 3, 0, 1, 1, 5, 5, 0], [0, 0, 3, 0, 1, 1, 6, 3, 1], [0, 0, 3, 0, 1, 1, 7, 1, 2], [0, 0, 3, 0, 1, 2, 3, 6, 0], [0, 0, 3, 0, 1, 2, 4, 4, 1], [0, 0, 3, 0, 1, 2, 5, 2, 2], [0, 0, 3, 0, 1, 2, 6, 0, 3], [0, 0, 3, 0, 1, 3, 1, 7, 0], [0, 0, 3, 0, 1, 3, 2, 5, 1], [0, 0, 3, 0, 1, 3, 3, 3, 2], [0, 0, 3, 0, 1, 3, 4, 1, 3], [0, 0, 3, 0, 1, 4, 0, 6, 1], [0, 0, 3, 0, 1, 4, 1, 4, 2], [0, 0, 3, 0, 1, 4, 2, 2, 3], [0, 0, 3, 0, 1, 4, 3, 0, 4], [0, 0, 3, 0, 1, 5, 0, 3, 3], [0, 0, 3, 0, 1, 5, 1, 1, 4], [0, 0, 3, 0, 1, 6, 0, 0, 5], [0, 0, 3, 0, 2, 0, 4, 6, 0], [0, 0, 3, 0, 2, 0, 5, 4, 1], [0, 0, 3, 0, 2, 0, 6, 2, 2], [0, 0, 3, 0, 2, 0, 7, 0, 3], [0, 0, 3, 0, 2, 1, 2, 7, 0], [0, 0, 3, 0, 2, 1, 3, 5, 1], [0, 0, 3, 0, 2, 1, 4, 3, 2], [0, 0, 3, 0, 2, 1, 5, 1, 3], [0, 0, 3, 0, 2, 2, 0, 8, 0], [0, 0, 3, 0, 2, 2, 1, 6, 1], [0, 0, 3, 0, 2, 2, 2, 4, 2], [0, 0, 3, 0, 2, 2, 3, 2, 3], [0, 0, 3, 0, 2, 2, 4, 0, 4], [0, 0, 3, 0, 2, 3, 0, 5, 2], [0, 0, 3, 0, 2, 3, 1, 3, 3], [0, 0, 3, 0, 2, 3, 2, 1, 4], [0, 0, 3, 0, 2, 4, 0, 2, 4], [0, 0, 3, 0, 2, 4, 1, 0, 5], [0, 0, 3, 0, 3, 0, 1, 8, 0], [0, 0, 3, 0, 3, 0, 2, 6, 1], [0, 0, 3, 0, 3, 0, 3, 4, 2], [0, 0, 3, 0, 3, 0, 4, 2, 3], [0, 0, 3, 0, 3, 0, 5, 0, 4], [0, 0, 3, 0, 3, 1, 0, 7, 1], [0, 0, 3, 0, 3, 1, 1, 5, 2], [0, 0, 3, 0, 3, 1, 2, 3, 3], [0, 0, 3, 0, 3, 1, 3, 1, 4], [0, 0, 3, 0, 3, 2, 0, 4, 3], [0, 0, 3, 0, 3, 2, 1, 2, 4], [0, 0, 3, 0, 3, 2, 2, 0, 5], [0, 0, 3, 0, 3, 3, 0, 1, 5], [0, 0, 3, 0, 4, 0, 0, 6, 2], [0, 0, 3, 0, 4, 0, 1, 4, 3], [0, 0, 3, 0, 4, 0, 2, 2, 4], [0, 0, 3, 0, 4, 0, 3, 0, 5], [0, 0, 3, 0, 4, 1, 0, 3, 4], [0, 0, 3, 0, 4, 1, 1, 1, 5], [0, 0, 3, 0, 4, 2, 0, 0, 6], [0, 0, 3, 0, 5, 0, 0, 2, 5], [0, 0, 3, 0, 5, 0, 1, 0, 6], [0, 0, 3, 1, 0, 0, 6, 5, 0], [0, 0, 3, 1, 0, 0, 7, 3, 1], [0, 0, 3, 1, 0, 0, 8, 1, 2], [0, 0, 3, 1, 0, 1, 4, 6, 0], [0, 0, 3, 1, 0, 1, 5, 4, 1], [0, 0, 3, 1, 0, 1, 6, 2, 2], [0, 0, 3, 1, 0, 1, 7, 0, 3], [0, 0, 3, 1, 0, 2, 2, 7, 0], [0, 0, 3, 1, 0, 2, 3, 5, 1], [0, 0, 3, 1, 0, 2, 4, 3, 2], [0, 0, 3, 1, 0, 2, 5, 1, 3], [0, 0, 3, 1, 0, 3, 0, 8, 0], [0, 0, 3, 1, 0, 3, 1, 6, 1], [0, 0, 3, 1, 0, 3, 2, 4, 2], [0, 0, 3, 1, 0, 3, 3, 2, 3], [0, 0, 3, 1, 0, 3, 4, 0, 4], [0, 0, 3, 1, 0, 4, 0, 5, 2], [0, 0, 3, 1, 0, 4, 1, 3, 3], [0, 0, 3, 1, 0, 4, 2, 1, 4], [0, 0, 3, 1, 0, 5, 0, 2, 4], [0, 0, 3, 1, 0, 5, 1, 0, 5], [0, 0, 3, 1, 1, 0, 3, 7, 0], [0, 0, 3, 1, 1, 0, 4, 5, 1], [0, 0, 3, 1, 1, 0, 5, 3, 2], [0, 0, 3, 1, 1, 0, 6, 1, 3], [0, 0, 3, 1, 1, 1, 1, 8, 0], [0, 0, 3, 1, 1, 1, 2, 6, 1], [0, 0, 3, 1, 1, 1, 3, 4, 2], [0, 0, 3, 1, 1, 1, 4, 2, 3], [0, 0, 3, 1, 1, 1, 5, 0, 4], [0, 0, 3, 1, 1, 2, 0, 7, 1], [0, 0, 3, 1, 1, 2, 1, 5, 2], [0, 0, 3, 1, 1, 2, 2, 3, 3], [0, 0, 3, 1, 1, 2, 3, 1, 4], [0, 0, 3, 1, 1, 3, 0, 4, 3], [0, 0, 3, 1, 1, 3, 1, 2, 4], [0, 0, 3, 1, 1, 3, 2, 0, 5], [0, 0, 3, 1, 1, 4, 0, 1, 5], [0, 0, 3, 1, 2, 0, 0, 9, 0], [0, 0, 3, 1, 2, 0, 1, 7, 1], [0, 0, 3, 1, 2, 0, 2, 5, 2], [0, 0, 3, 1, 2, 0, 3, 3, 3], [0, 0, 3, 1, 2, 0, 4, 1, 4], [0, 0, 3, 1, 2, 1, 0, 6, 2], [0, 0, 3, 1, 2, 1, 1, 4, 3], [0, 0, 3, 1, 2, 1, 2, 2, 4], [0, 0, 3, 1, 2, 1, 3, 0, 5], [0, 0, 3, 1, 2, 2, 0, 3, 4], [0, 0, 3, 1, 2, 2, 1, 1, 5], [0, 0, 3, 1, 2, 3, 0, 0, 6], [0, 0, 3, 1, 3, 0, 0, 5, 3], [0, 0, 3, 1, 3, 0, 1, 3, 4], [0, 0, 3, 1, 3, 0, 2, 1, 5], [0, 0, 3, 1, 3, 1, 0, 2, 5], [0, 0, 3, 1, 3, 1, 1, 0, 6], [0, 0, 3, 1, 4, 0, 0, 1, 6], [0, 0, 3, 2, 0, 0, 2, 8, 0], [0, 0, 3, 2, 0, 0, 3, 6, 1], [0, 0, 3, 2, 0, 0, 4, 4, 2], [0, 0, 3, 2, 0, 0, 5, 2, 3], [0, 0, 3, 2, 0, 0, 6, 0, 4], [0, 0, 3, 2, 0, 1, 0, 9, 0], [0, 0, 3, 2, 0, 1, 1, 7, 1], [0, 0, 3, 2, 0, 1, 2, 5, 2], [0, 0, 3, 2, 0, 1, 3, 3, 3], [0, 0, 3, 2, 0, 1, 4, 1, 4], [0, 0, 3, 2, 0, 2, 0, 6, 2], [0, 0, 3, 2, 0, 2, 1, 4, 3], [0, 0, 3, 2, 0, 2, 2, 2, 4], [0, 0, 3, 2, 0, 2, 3, 0, 5], [0, 0, 3, 2, 0, 3, 0, 3, 4], [0, 0, 3, 2, 0, 3, 1, 1, 5], [0, 0, 3, 2, 0, 4, 0, 0, 6], [0, 0, 3, 2, 1, 0, 0, 8, 1], [0, 0, 3, 2, 1, 0, 1, 6, 2], [0, 0, 3, 2, 1, 0, 2, 4, 3], [0, 0, 3, 2, 1, 0, 3, 2, 4], [0, 0, 3, 2, 1, 0, 4, 0, 5], [0, 0, 3, 2, 1, 1, 0, 5, 3], [0, 0, 3, 2, 1, 1, 1, 3, 4], [0, 0, 3, 2, 1, 1, 2, 1, 5], [0, 0, 3, 2, 1, 2, 0, 2, 5], [0, 0, 3, 2, 1, 2, 1, 0, 6], [0, 0, 3, 2, 2, 0, 0, 4, 4], [0, 0, 3, 2, 2, 0, 1, 2, 5], [0, 0, 3, 2, 2, 0, 2, 0, 6], [0, 0, 3, 2, 2, 1, 0, 1, 6], [0, 0, 3, 2, 3, 0, 0, 0, 7], [0, 0, 3, 3, 0, 0, 0, 7, 2], [0, 0, 3, 3, 0, 0, 1, 5, 3], [0, 0, 3, 3, 0, 0, 2, 3, 4], [0, 0, 3, 3, 0, 0, 3, 1, 5], [0, 0, 3, 3, 0, 1, 0, 4, 4], [0, 0, 3, 3, 0, 1, 1, 2, 5], [0, 0, 3, 3, 0, 1, 2, 0, 6], [0, 0, 3, 3, 0, 2, 0, 1, 6], [0, 0, 3, 3, 1, 0, 0, 3, 5], [0, 0, 3, 3, 1, 0, 1, 1, 6], [0, 0, 3, 3, 1, 1, 0, 0, 7], [0, 0, 3, 4, 0, 0, 0, 2, 6], [0, 0, 3, 4, 0, 0, 1, 0, 7], [0, 0, 4, 0, 0, 0, 5, 6, 0], [0, 0, 4, 0, 0, 0, 6, 4, 1], [0, 0, 4, 0, 0, 0, 7, 2, 2], [0, 0, 4, 0, 0, 0, 8, 0, 3], [0, 0, 4, 0, 0, 1, 3, 7, 0], [0, 0, 4, 0, 0, 1, 4, 5, 1], [0, 0, 4, 0, 0, 1, 5, 3, 2], [0, 0, 4, 0, 0, 1, 6, 1, 3], [0, 0, 4, 0, 0, 2, 1, 8, 0], [0, 0, 4, 0, 0, 2, 2, 6, 1], [0, 0, 4, 0, 0, 2, 3, 4, 2], [0, 0, 4, 0, 0, 2, 4, 2, 3], [0, 0, 4, 0, 0, 2, 5, 0, 4], [0, 0, 4, 0, 0, 3, 0, 7, 1], [0, 0, 4, 0, 0, 3, 1, 5, 2], [0, 0, 4, 0, 0, 3, 2, 3, 3], [0, 0, 4, 0, 0, 3, 3, 1, 4], [0, 0, 4, 0, 0, 4, 0, 4, 3], [0, 0, 4, 0, 0, 4, 1, 2, 4], [0, 0, 4, 0, 0, 4, 2, 0, 5], [0, 0, 4, 0, 0, 5, 0, 1, 5], [0, 0, 4, 0, 1, 0, 2, 8, 0], [0, 0, 4, 0, 1, 0, 3, 6, 1], [0, 0, 4, 0, 1, 0, 4, 4, 2], [0, 0, 4, 0, 1, 0, 5, 2, 3], [0, 0, 4, 0, 1, 0, 6, 0, 4], [0, 0, 4, 0, 1, 1, 0, 9, 0], [0, 0, 4, 0, 1, 1, 1, 7, 1], [0, 0, 4, 0, 1, 1, 2, 5, 2], [0, 0, 4, 0, 1, 1, 3, 3, 3], [0, 0, 4, 0, 1, 1, 4, 1, 4], [0, 0, 4, 0, 1, 2, 0, 6, 2], [0, 0, 4, 0, 1, 2, 1, 4, 3], [0, 0, 4, 0, 1, 2, 2, 2, 4], [0, 0, 4, 0, 1, 2, 3, 0, 5], [0, 0, 4, 0, 1, 3, 0, 3, 4], [0, 0, 4, 0, 1, 3, 1, 1, 5], [0, 0, 4, 0, 1, 4, 0, 0, 6], [0, 0, 4, 0, 2, 0, 0, 8, 1], [0, 0, 4, 0, 2, 0, 1, 6, 2], [0, 0, 4, 0, 2, 0, 2, 4, 3], [0, 0, 4, 0, 2, 0, 3, 2, 4], [0, 0, 4, 0, 2, 0, 4, 0, 5], [0, 0, 4, 0, 2, 1, 0, 5, 3], [0, 0, 4, 0, 2, 1, 1, 3, 4], [0, 0, 4, 0, 2, 1, 2, 1, 5], [0, 0, 4, 0, 2, 2, 0, 2, 5], [0, 0, 4, 0, 2, 2, 1, 0, 6], [0, 0, 4, 0, 3, 0, 0, 4, 4], [0, 0, 4, 0, 3, 0, 1, 2, 5], [0, 0, 4, 0, 3, 0, 2, 0, 6], [0, 0, 4, 0, 3, 1, 0, 1, 6], [0, 0, 4, 0, 4, 0, 0, 0, 7], [0, 0, 4, 1, 0, 0, 1, 9, 0], [0, 0, 4, 1, 0, 0, 2, 7, 1], [0, 0, 4, 1, 0, 0, 3, 5, 2], [0, 0, 4, 1, 0, 0, 4, 3, 3], [0, 0, 4, 1, 0, 0, 5, 1, 4], [0, 0, 4, 1, 0, 1, 0, 8, 1], [0, 0, 4, 1, 0, 1, 1, 6, 2], [0, 0, 4, 1, 0, 1, 2, 4, 3], [0, 0, 4, 1, 0, 1, 3, 2, 4], [0, 0, 4, 1, 0, 1, 4, 0, 5], [0, 0, 4, 1, 0, 2, 0, 5, 3], [0, 0, 4, 1, 0, 2, 1, 3, 4], [0, 0, 4, 1, 0, 2, 2, 1, 5], [0, 0, 4, 1, 0, 3, 0, 2, 5], [0, 0, 4, 1, 0, 3, 1, 0, 6], [0, 0, 4, 1, 1, 0, 0, 7, 2], [0, 0, 4, 1, 1, 0, 1, 5, 3], [0, 0, 4, 1, 1, 0, 2, 3, 4], [0, 0, 4, 1, 1, 0, 3, 1, 5], [0, 0, 4, 1, 1, 1, 0, 4, 4], [0, 0, 4, 1, 1, 1, 1, 2, 5], [0, 0, 4, 1, 1, 1, 2, 0, 6], [0, 0, 4, 1, 1, 2, 0, 1, 6], [0, 0, 4, 1, 2, 0, 0, 3, 5], [0, 0, 4, 1, 2, 0, 1, 1, 6], [0, 0, 4, 1, 2, 1, 0, 0, 7], [0, 0, 4, 2, 0, 0, 0, 6, 3], [0, 0, 4, 2, 0, 0, 1, 4, 4], [0, 0, 4, 2, 0, 0, 2, 2, 5], [0, 0, 4, 2, 0, 0, 3, 0, 6], [0, 0, 4, 2, 0, 1, 0, 3, 5], [0, 0, 4, 2, 0, 1, 1, 1, 6], [0, 0, 4, 2, 0, 2, 0, 0, 7], [0, 0, 4, 2, 1, 0, 0, 2, 6], [0, 0, 4, 2, 1, 0, 1, 0, 7], [0, 0, 4, 3, 0, 0, 0, 1, 7], [0, 0, 5, 0, 0, 0, 0, 10, 0], [0, 0, 5, 0, 0, 0, 1, 8, 1], [0, 0, 5, 0, 0, 0, 2, 6, 2], [0, 0, 5, 0, 0, 0, 3, 4, 3], [0, 0, 5, 0, 0, 0, 4, 2, 4], [0, 0, 5, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 0, 1, 0, 7, 2], [0, 0, 5, 0, 0, 1, 1, 5, 3], [0, 0, 5, 0, 0, 1, 2, 3, 4], [0, 0, 5, 0, 0, 1, 3, 1, 5], [0, 0, 5, 0, 0, 2, 0, 4, 4], [0, 0, 5, 0, 0, 2, 1, 2, 5], [0, 0, 5, 0, 0, 2, 2, 0, 6], [0, 0, 5, 0, 0, 3, 0, 1, 6], [0, 0, 5, 0, 1, 0, 0, 6, 3], [0, 0, 5, 0, 1, 0, 1, 4, 4], [0, 0, 5, 0, 1, 0, 2, 2, 5], [0, 0, 5, 0, 1, 0, 3, 0, 6], [0, 0, 5, 0, 1, 1, 0, 3, 5], [0, 0, 5, 0, 1, 1, 1, 1, 6], [0, 0, 5, 0, 1, 2, 0, 0, 7], [0, 0, 5, 0, 2, 0, 0, 2, 6], [0, 0, 5, 0, 2, 0, 1, 0, 7], [0, 0, 5, 1, 0, 0, 0, 5, 4], [0, 0, 5, 1, 0, 0, 1, 3, 5], [0, 0, 5, 1, 0, 0, 2, 1, 6], [0, 0, 5, 1, 0, 1, 0, 2, 6], [0, 0, 5, 1, 0, 1, 1, 0, 7], [0, 0, 5, 1, 1, 0, 0, 1, 7], [0, 0, 5, 2, 0, 0, 0, 0, 8], [0, 0, 6, 0, 0, 0, 0, 4, 5], [0, 0, 6, 0, 0, 0, 1, 2, 6], [0, 0, 6, 0, 0, 0, 2, 0, 7], [0, 0, 6, 0, 0, 1, 0, 1, 7], [0, 0, 6, 0, 1, 0, 0, 0, 8], [0, 1, 0, 0, 0, 5, 9, 0, 0], [0, 1, 0, 0, 0, 6, 7, 1, 0], [0, 1, 0, 0, 0, 7, 5, 2, 0], [0, 1, 0, 0, 0, 7, 6, 0, 1], [0, 1, 0, 0, 0, 8, 3, 3, 0], [0, 1, 0, 0, 0, 8, 4, 1, 1], [0, 1, 0, 0, 0, 9, 1, 4, 0], [0, 1, 0, 0, 0, 9, 2, 2, 1], [0, 1, 0, 0, 0, 9, 3, 0, 2], [0, 1, 0, 0, 0, 10, 0, 3, 1], [0, 1, 0, 0, 0, 10, 1, 1, 2], [0, 1, 0, 0, 0, 11, 0, 0, 3], [0, 1, 0, 0, 1, 3, 10, 0, 0], [0, 1, 0, 0, 1, 4, 8, 1, 0], [0, 1, 0, 0, 1, 5, 6, 2, 0], [0, 1, 0, 0, 1, 5, 7, 0, 1], [0, 1, 0, 0, 1, 6, 4, 3, 0], [0, 1, 0, 0, 1, 6, 5, 1, 1], [0, 1, 0, 0, 1, 7, 2, 4, 0], [0, 1, 0, 0, 1, 7, 3, 2, 1], [0, 1, 0, 0, 1, 7, 4, 0, 2], [0, 1, 0, 0, 1, 8, 0, 5, 0], [0, 1, 0, 0, 1, 8, 1, 3, 1], [0, 1, 0, 0, 1, 8, 2, 1, 2], [0, 1, 0, 0, 1, 9, 0, 2, 2], [0, 1, 0, 0, 1, 9, 1, 0, 3], [0, 1, 0, 0, 2, 1, 11, 0, 0], [0, 1, 0, 0, 2, 2, 9, 1, 0], [0, 1, 0, 0, 2, 3, 7, 2, 0], [0, 1, 0, 0, 2, 3, 8, 0, 1], [0, 1, 0, 0, 2, 4, 5, 3, 0], [0, 1, 0, 0, 2, 4, 6, 1, 1], [0, 1, 0, 0, 2, 5, 3, 4, 0], [0, 1, 0, 0, 2, 5, 4, 2, 1], [0, 1, 0, 0, 2, 5, 5, 0, 2], [0, 1, 0, 0, 2, 6, 1, 5, 0], [0, 1, 0, 0, 2, 6, 2, 3, 1], [0, 1, 0, 0, 2, 6, 3, 1, 2], [0, 1, 0, 0, 2, 7, 0, 4, 1], [0, 1, 0, 0, 2, 7, 1, 2, 2], [0, 1, 0, 0, 2, 7, 2, 0, 3], [0, 1, 0, 0, 2, 8, 0, 1, 3], [0, 1, 0, 0, 3, 0, 10, 1, 0], [0, 1, 0, 0, 3, 1, 8, 2, 0], [0, 1, 0, 0, 3, 1, 9, 0, 1], [0, 1, 0, 0, 3, 2, 6, 3, 0], [0, 1, 0, 0, 3, 2, 7, 1, 1], [0, 1, 0, 0, 3, 3, 4, 4, 0], [0, 1, 0, 0, 3, 3, 5, 2, 1], [0, 1, 0, 0, 3, 3, 6, 0, 2], [0, 1, 0, 0, 3, 4, 2, 5, 0], [0, 1, 0, 0, 3, 4, 3, 3, 1], [0, 1, 0, 0, 3, 4, 4, 1, 2], [0, 1, 0, 0, 3, 5, 0, 6, 0], [0, 1, 0, 0, 3, 5, 1, 4, 1], [0, 1, 0, 0, 3, 5, 2, 2, 2], [0, 1, 0, 0, 3, 5, 3, 0, 3], [0, 1, 0, 0, 3, 6, 0, 3, 2], [0, 1, 0, 0, 3, 6, 1, 1, 3], [0, 1, 0, 0, 3, 7, 0, 0, 4], [0, 1, 0, 0, 4, 0, 7, 3, 0], [0, 1, 0, 0, 4, 0, 8, 1, 1], [0, 1, 0, 0, 4, 1, 5, 4, 0], [0, 1, 0, 0, 4, 1, 6, 2, 1], [0, 1, 0, 0, 4, 1, 7, 0, 2], [0, 1, 0, 0, 4, 2, 3, 5, 0], [0, 1, 0, 0, 4, 2, 4, 3, 1], [0, 1, 0, 0, 4, 2, 5, 1, 2], [0, 1, 0, 0, 4, 3, 1, 6, 0], [0, 1, 0, 0, 4, 3, 2, 4, 1], [0, 1, 0, 0, 4, 3, 3, 2, 2], [0, 1, 0, 0, 4, 3, 4, 0, 3], [0, 1, 0, 0, 4, 4, 0, 5, 1], [0, 1, 0, 0, 4, 4, 1, 3, 2], [0, 1, 0, 0, 4, 4, 2, 1, 3], [0, 1, 0, 0, 4, 5, 0, 2, 3], [0, 1, 0, 0, 4, 5, 1, 0, 4], [0, 1, 0, 0, 5, 0, 4, 5, 0], [0, 1, 0, 0, 5, 0, 5, 3, 1], [0, 1, 0, 0, 5, 0, 6, 1, 2], [0, 1, 0, 0, 5, 1, 2, 6, 0], [0, 1, 0, 0, 5, 1, 3, 4, 1], [0, 1, 0, 0, 5, 1, 4, 2, 2], [0, 1, 0, 0, 5, 1, 5, 0, 3], [0, 1, 0, 0, 5, 2, 0, 7, 0], [0, 1, 0, 0, 5, 2, 1, 5, 1], [0, 1, 0, 0, 5, 2, 2, 3, 2], [0, 1, 0, 0, 5, 2, 3, 1, 3], [0, 1, 0, 0, 5, 3, 0, 4, 2], [0, 1, 0, 0, 5, 3, 1, 2, 3], [0, 1, 0, 0, 5, 3, 2, 0, 4], [0, 1, 0, 0, 5, 4, 0, 1, 4], [0, 1, 0, 0, 6, 0, 1, 7, 0], [0, 1, 0, 0, 6, 0, 2, 5, 1], [0, 1, 0, 0, 6, 0, 3, 3, 2], [0, 1, 0, 0, 6, 0, 4, 1, 3], [0, 1, 0, 0, 6, 1, 0, 6, 1], [0, 1, 0, 0, 6, 1, 1, 4, 2], [0, 1, 0, 0, 6, 1, 2, 2, 3], [0, 1, 0, 0, 6, 1, 3, 0, 4], [0, 1, 0, 0, 6, 2, 0, 3, 3], [0, 1, 0, 0, 6, 2, 1, 1, 4], [0, 1, 0, 0, 6, 3, 0, 0, 5], [0, 1, 0, 0, 7, 0, 0, 5, 2], [0, 1, 0, 0, 7, 0, 1, 3, 3], [0, 1, 0, 0, 7, 0, 2, 1, 4], [0, 1, 0, 0, 7, 1, 0, 2, 4], [0, 1, 0, 0, 7, 1, 1, 0, 5], [0, 1, 0, 0, 8, 0, 0, 1, 5], [0, 1, 0, 1, 0, 2, 11, 0, 0], [0, 1, 0, 1, 0, 3, 9, 1, 0], [0, 1, 0, 1, 0, 4, 7, 2, 0], [0, 1, 0, 1, 0, 4, 8, 0, 1], [0, 1, 0, 1, 0, 5, 5, 3, 0], [0, 1, 0, 1, 0, 5, 6, 1, 1], [0, 1, 0, 1, 0, 6, 3, 4, 0], [0, 1, 0, 1, 0, 6, 4, 2, 1], [0, 1, 0, 1, 0, 6, 5, 0, 2], [0, 1, 0, 1, 0, 7, 1, 5, 0], [0, 1, 0, 1, 0, 7, 2, 3, 1], [0, 1, 0, 1, 0, 7, 3, 1, 2], [0, 1, 0, 1, 0, 8, 0, 4, 1], [0, 1, 0, 1, 0, 8, 1, 2, 2], [0, 1, 0, 1, 0, 8, 2, 0, 3], [0, 1, 0, 1, 0, 9, 0, 1, 3], [0, 1, 0, 1, 1, 0, 12, 0, 0], [0, 1, 0, 1, 1, 1, 10, 1, 0], [0, 1, 0, 1, 1, 2, 8, 2, 0], [0, 1, 0, 1, 1, 2, 9, 0, 1], [0, 1, 0, 1, 1, 3, 6, 3, 0], [0, 1, 0, 1, 1, 3, 7, 1, 1], [0, 1, 0, 1, 1, 4, 4, 4, 0], [0, 1, 0, 1, 1, 4, 5, 2, 1], [0, 1, 0, 1, 1, 4, 6, 0, 2], [0, 1, 0, 1, 1, 5, 2, 5, 0], [0, 1, 0, 1, 1, 5, 3, 3, 1], [0, 1, 0, 1, 1, 5, 4, 1, 2], [0, 1, 0, 1, 1, 6, 0, 6, 0], [0, 1, 0, 1, 1, 6, 1, 4, 1], [0, 1, 0, 1, 1, 6, 2, 2, 2], [0, 1, 0, 1, 1, 6, 3, 0, 3], [0, 1, 0, 1, 1, 7, 0, 3, 2], [0, 1, 0, 1, 1, 7, 1, 1, 3], [0, 1, 0, 1, 1, 8, 0, 0, 4], [0, 1, 0, 1, 2, 0, 9, 2, 0], [0, 1, 0, 1, 2, 0, 10, 0, 1], [0, 1, 0, 1, 2, 1, 7, 3, 0], [0, 1, 0, 1, 2, 1, 8, 1, 1], [0, 1, 0, 1, 2, 2, 5, 4, 0], [0, 1, 0, 1, 2, 2, 6, 2, 1], [0, 1, 0, 1, 2, 2, 7, 0, 2], [0, 1, 0, 1, 2, 3, 3, 5, 0], [0, 1, 0, 1, 2, 3, 4, 3, 1], [0, 1, 0, 1, 2, 3, 5, 1, 2], [0, 1, 0, 1, 2, 4, 1, 6, 0], [0, 1, 0, 1, 2, 4, 2, 4, 1], [0, 1, 0, 1, 2, 4, 3, 2, 2], [0, 1, 0, 1, 2, 4, 4, 0, 3], [0, 1, 0, 1, 2, 5, 0, 5, 1], [0, 1, 0, 1, 2, 5, 1, 3, 2], [0, 1, 0, 1, 2, 5, 2, 1, 3], [0, 1, 0, 1, 2, 6, 0, 2, 3], [0, 1, 0, 1, 2, 6, 1, 0, 4], [0, 1, 0, 1, 3, 0, 6, 4, 0], [0, 1, 0, 1, 3, 0, 7, 2, 1], [0, 1, 0, 1, 3, 0, 8, 0, 2], [0, 1, 0, 1, 3, 1, 4, 5, 0], [0, 1, 0, 1, 3, 1, 5, 3, 1], [0, 1, 0, 1, 3, 1, 6, 1, 2], [0, 1, 0, 1, 3, 2, 2, 6, 0], [0, 1, 0, 1, 3, 2, 3, 4, 1], [0, 1, 0, 1, 3, 2, 4, 2, 2], [0, 1, 0, 1, 3, 2, 5, 0, 3], [0, 1, 0, 1, 3, 3, 0, 7, 0], [0, 1, 0, 1, 3, 3, 1, 5, 1], [0, 1, 0, 1, 3, 3, 2, 3, 2], [0, 1, 0, 1, 3, 3, 3, 1, 3], [0, 1, 0, 1, 3, 4, 0, 4, 2], [0, 1, 0, 1, 3, 4, 1, 2, 3], [0, 1, 0, 1, 3, 4, 2, 0, 4], [0, 1, 0, 1, 3, 5, 0, 1, 4], [0, 1, 0, 1, 4, 0, 3, 6, 0], [0, 1, 0, 1, 4, 0, 4, 4, 1], [0, 1, 0, 1, 4, 0, 5, 2, 2], [0, 1, 0, 1, 4, 0, 6, 0, 3], [0, 1, 0, 1, 4, 1, 1, 7, 0], [0, 1, 0, 1, 4, 1, 2, 5, 1], [0, 1, 0, 1, 4, 1, 3, 3, 2], [0, 1, 0, 1, 4, 1, 4, 1, 3], [0, 1, 0, 1, 4, 2, 0, 6, 1], [0, 1, 0, 1, 4, 2, 1, 4, 2], [0, 1, 0, 1, 4, 2, 2, 2, 3], [0, 1, 0, 1, 4, 2, 3, 0, 4], [0, 1, 0, 1, 4, 3, 0, 3, 3], [0, 1, 0, 1, 4, 3, 1, 1, 4], [0, 1, 0, 1, 4, 4, 0, 0, 5], [0, 1, 0, 1, 5, 0, 0, 8, 0], [0, 1, 0, 1, 5, 0, 1, 6, 1], [0, 1, 0, 1, 5, 0, 2, 4, 2], [0, 1, 0, 1, 5, 0, 3, 2, 3], [0, 1, 0, 1, 5, 0, 4, 0, 4], [0, 1, 0, 1, 5, 1, 0, 5, 2], [0, 1, 0, 1, 5, 1, 1, 3, 3], [0, 1, 0, 1, 5, 1, 2, 1, 4], [0, 1, 0, 1, 5, 2, 0, 2, 4], [0, 1, 0, 1, 5, 2, 1, 0, 5], [0, 1, 0, 1, 6, 0, 0, 4, 3], [0, 1, 0, 1, 6, 0, 1, 2, 4], [0, 1, 0, 1, 6, 0, 2, 0, 5], [0, 1, 0, 1, 6, 1, 0, 1, 5], [0, 1, 0, 1, 7, 0, 0, 0, 6], [0, 1, 0, 2, 0, 0, 11, 1, 0], [0, 1, 0, 2, 0, 1, 9, 2, 0], [0, 1, 0, 2, 0, 1, 10, 0, 1], [0, 1, 0, 2, 0, 2, 7, 3, 0], [0, 1, 0, 2, 0, 2, 8, 1, 1], [0, 1, 0, 2, 0, 3, 5, 4, 0], [0, 1, 0, 2, 0, 3, 6, 2, 1], [0, 1, 0, 2, 0, 3, 7, 0, 2], [0, 1, 0, 2, 0, 4, 3, 5, 0], [0, 1, 0, 2, 0, 4, 4, 3, 1], [0, 1, 0, 2, 0, 4, 5, 1, 2], [0, 1, 0, 2, 0, 5, 1, 6, 0], [0, 1, 0, 2, 0, 5, 2, 4, 1], [0, 1, 0, 2, 0, 5, 3, 2, 2], [0, 1, 0, 2, 0, 5, 4, 0, 3], [0, 1, 0, 2, 0, 6, 0, 5, 1], [0, 1, 0, 2, 0, 6, 1, 3, 2], [0, 1, 0, 2, 0, 6, 2, 1, 3], [0, 1, 0, 2, 0, 7, 0, 2, 3], [0, 1, 0, 2, 0, 7, 1, 0, 4], [0, 1, 0, 2, 1, 0, 8, 3, 0], [0, 1, 0, 2, 1, 0, 9, 1, 1], [0, 1, 0, 2, 1, 1, 6, 4, 0], [0, 1, 0, 2, 1, 1, 7, 2, 1], [0, 1, 0, 2, 1, 1, 8, 0, 2], [0, 1, 0, 2, 1, 2, 4, 5, 0], [0, 1, 0, 2, 1, 2, 5, 3, 1], [0, 1, 0, 2, 1, 2, 6, 1, 2], [0, 1, 0, 2, 1, 3, 2, 6, 0], [0, 1, 0, 2, 1, 3, 3, 4, 1], [0, 1, 0, 2, 1, 3, 4, 2, 2], [0, 1, 0, 2, 1, 3, 5, 0, 3], [0, 1, 0, 2, 1, 4, 0, 7, 0], [0, 1, 0, 2, 1, 4, 1, 5, 1], [0, 1, 0, 2, 1, 4, 2, 3, 2], [0, 1, 0, 2, 1, 4, 3, 1, 3], [0, 1, 0, 2, 1, 5, 0, 4, 2], [0, 1, 0, 2, 1, 5, 1, 2, 3], [0, 1, 0, 2, 1, 5, 2, 0, 4], [0, 1, 0, 2, 1, 6, 0, 1, 4], [0, 1, 0, 2, 2, 0, 5, 5, 0], [0, 1, 0, 2, 2, 0, 6, 3, 1], [0, 1, 0, 2, 2, 0, 7, 1, 2], [0, 1, 0, 2, 2, 1, 3, 6, 0], [0, 1, 0, 2, 2, 1, 4, 4, 1], [0, 1, 0, 2, 2, 1, 5, 2, 2], [0, 1, 0, 2, 2, 1, 6, 0, 3], [0, 1, 0, 2, 2, 2, 1, 7, 0], [0, 1, 0, 2, 2, 2, 2, 5, 1], [0, 1, 0, 2, 2, 2, 3, 3, 2], [0, 1, 0, 2, 2, 2, 4, 1, 3], [0, 1, 0, 2, 2, 3, 0, 6, 1], [0, 1, 0, 2, 2, 3, 1, 4, 2], [0, 1, 0, 2, 2, 3, 2, 2, 3], [0, 1, 0, 2, 2, 3, 3, 0, 4], [0, 1, 0, 2, 2, 4, 0, 3, 3], [0, 1, 0, 2, 2, 4, 1, 1, 4], [0, 1, 0, 2, 2, 5, 0, 0, 5], [0, 1, 0, 2, 3, 0, 2, 7, 0], [0, 1, 0, 2, 3, 0, 3, 5, 1], [0, 1, 0, 2, 3, 0, 4, 3, 2], [0, 1, 0, 2, 3, 0, 5, 1, 3], [0, 1, 0, 2, 3, 1, 0, 8, 0], [0, 1, 0, 2, 3, 1, 1, 6, 1], [0, 1, 0, 2, 3, 1, 2, 4, 2], [0, 1, 0, 2, 3, 1, 3, 2, 3], [0, 1, 0, 2, 3, 1, 4, 0, 4], [0, 1, 0, 2, 3, 2, 0, 5, 2], [0, 1, 0, 2, 3, 2, 1, 3, 3], [0, 1, 0, 2, 3, 2, 2, 1, 4], [0, 1, 0, 2, 3, 3, 0, 2, 4], [0, 1, 0, 2, 3, 3, 1, 0, 5], [0, 1, 0, 2, 4, 0, 0, 7, 1], [0, 1, 0, 2, 4, 0, 1, 5, 2], [0, 1, 0, 2, 4, 0, 2, 3, 3], [0, 1, 0, 2, 4, 0, 3, 1, 4], [0, 1, 0, 2, 4, 1, 0, 4, 3], [0, 1, 0, 2, 4, 1, 1, 2, 4], [0, 1, 0, 2, 4, 1, 2, 0, 5], [0, 1, 0, 2, 4, 2, 0, 1, 5], [0, 1, 0, 2, 5, 0, 0, 3, 4], [0, 1, 0, 2, 5, 0, 1, 1, 5], [0, 1, 0, 2, 5, 1, 0, 0, 6], [0, 1, 0, 3, 0, 0, 7, 4, 0], [0, 1, 0, 3, 0, 0, 8, 2, 1], [0, 1, 0, 3, 0, 0, 9, 0, 2], [0, 1, 0, 3, 0, 1, 5, 5, 0], [0, 1, 0, 3, 0, 1, 6, 3, 1], [0, 1, 0, 3, 0, 1, 7, 1, 2], [0, 1, 0, 3, 0, 2, 3, 6, 0], [0, 1, 0, 3, 0, 2, 4, 4, 1], [0, 1, 0, 3, 0, 2, 5, 2, 2], [0, 1, 0, 3, 0, 2, 6, 0, 3], [0, 1, 0, 3, 0, 3, 1, 7, 0], [0, 1, 0, 3, 0, 3, 2, 5, 1], [0, 1, 0, 3, 0, 3, 3, 3, 2], [0, 1, 0, 3, 0, 3, 4, 1, 3], [0, 1, 0, 3, 0, 4, 0, 6, 1], [0, 1, 0, 3, 0, 4, 1, 4, 2], [0, 1, 0, 3, 0, 4, 2, 2, 3], [0, 1, 0, 3, 0, 4, 3, 0, 4], [0, 1, 0, 3, 0, 5, 0, 3, 3], [0, 1, 0, 3, 0, 5, 1, 1, 4], [0, 1, 0, 3, 0, 6, 0, 0, 5], [0, 1, 0, 3, 1, 0, 4, 6, 0], [0, 1, 0, 3, 1, 0, 5, 4, 1], [0, 1, 0, 3, 1, 0, 6, 2, 2], [0, 1, 0, 3, 1, 0, 7, 0, 3], [0, 1, 0, 3, 1, 1, 2, 7, 0], [0, 1, 0, 3, 1, 1, 3, 5, 1], [0, 1, 0, 3, 1, 1, 4, 3, 2], [0, 1, 0, 3, 1, 1, 5, 1, 3], [0, 1, 0, 3, 1, 2, 0, 8, 0], [0, 1, 0, 3, 1, 2, 1, 6, 1], [0, 1, 0, 3, 1, 2, 2, 4, 2], [0, 1, 0, 3, 1, 2, 3, 2, 3], [0, 1, 0, 3, 1, 2, 4, 0, 4], [0, 1, 0, 3, 1, 3, 0, 5, 2], [0, 1, 0, 3, 1, 3, 1, 3, 3], [0, 1, 0, 3, 1, 3, 2, 1, 4], [0, 1, 0, 3, 1, 4, 0, 2, 4], [0, 1, 0, 3, 1, 4, 1, 0, 5], [0, 1, 0, 3, 2, 0, 1, 8, 0], [0, 1, 0, 3, 2, 0, 2, 6, 1], [0, 1, 0, 3, 2, 0, 3, 4, 2], [0, 1, 0, 3, 2, 0, 4, 2, 3], [0, 1, 0, 3, 2, 0, 5, 0, 4], [0, 1, 0, 3, 2, 1, 0, 7, 1], [0, 1, 0, 3, 2, 1, 1, 5, 2], [0, 1, 0, 3, 2, 1, 2, 3, 3], [0, 1, 0, 3, 2, 1, 3, 1, 4], [0, 1, 0, 3, 2, 2, 0, 4, 3], [0, 1, 0, 3, 2, 2, 1, 2, 4], [0, 1, 0, 3, 2, 2, 2, 0, 5], [0, 1, 0, 3, 2, 3, 0, 1, 5], [0, 1, 0, 3, 3, 0, 0, 6, 2], [0, 1, 0, 3, 3, 0, 1, 4, 3], [0, 1, 0, 3, 3, 0, 2, 2, 4], [0, 1, 0, 3, 3, 0, 3, 0, 5], [0, 1, 0, 3, 3, 1, 0, 3, 4], [0, 1, 0, 3, 3, 1, 1, 1, 5], [0, 1, 0, 3, 3, 2, 0, 0, 6], [0, 1, 0, 3, 4, 0, 0, 2, 5], [0, 1, 0, 3, 4, 0, 1, 0, 6], [0, 1, 0, 4, 0, 0, 3, 7, 0], [0, 1, 0, 4, 0, 0, 4, 5, 1], [0, 1, 0, 4, 0, 0, 5, 3, 2], [0, 1, 0, 4, 0, 0, 6, 1, 3], [0, 1, 0, 4, 0, 1, 1, 8, 0], [0, 1, 0, 4, 0, 1, 2, 6, 1], [0, 1, 0, 4, 0, 1, 3, 4, 2], [0, 1, 0, 4, 0, 1, 4, 2, 3], [0, 1, 0, 4, 0, 1, 5, 0, 4], [0, 1, 0, 4, 0, 2, 0, 7, 1], [0, 1, 0, 4, 0, 2, 1, 5, 2], [0, 1, 0, 4, 0, 2, 2, 3, 3], [0, 1, 0, 4, 0, 2, 3, 1, 4], [0, 1, 0, 4, 0, 3, 0, 4, 3], [0, 1, 0, 4, 0, 3, 1, 2, 4], [0, 1, 0, 4, 0, 3, 2, 0, 5], [0, 1, 0, 4, 0, 4, 0, 1, 5], [0, 1, 0, 4, 1, 0, 0, 9, 0], [0, 1, 0, 4, 1, 0, 1, 7, 1], [0, 1, 0, 4, 1, 0, 2, 5, 2], [0, 1, 0, 4, 1, 0, 3, 3, 3], [0, 1, 0, 4, 1, 0, 4, 1, 4], [0, 1, 0, 4, 1, 1, 0, 6, 2], [0, 1, 0, 4, 1, 1, 1, 4, 3], [0, 1, 0, 4, 1, 1, 2, 2, 4], [0, 1, 0, 4, 1, 1, 3, 0, 5], [0, 1, 0, 4, 1, 2, 0, 3, 4], [0, 1, 0, 4, 1, 2, 1, 1, 5], [0, 1, 0, 4, 1, 3, 0, 0, 6], [0, 1, 0, 4, 2, 0, 0, 5, 3], [0, 1, 0, 4, 2, 0, 1, 3, 4], [0, 1, 0, 4, 2, 0, 2, 1, 5], [0, 1, 0, 4, 2, 1, 0, 2, 5], [0, 1, 0, 4, 2, 1, 1, 0, 6], [0, 1, 0, 4, 3, 0, 0, 1, 6], [0, 1, 0, 5, 0, 0, 0, 8, 1], [0, 1, 0, 5, 0, 0, 1, 6, 2], [0, 1, 0, 5, 0, 0, 2, 4, 3], [0, 1, 0, 5, 0, 0, 3, 2, 4], [0, 1, 0, 5, 0, 0, 4, 0, 5], [0, 1, 0, 5, 0, 1, 0, 5, 3], [0, 1, 0, 5, 0, 1, 1, 3, 4], [0, 1, 0, 5, 0, 1, 2, 1, 5], [0, 1, 0, 5, 0, 2, 0, 2, 5], [0, 1, 0, 5, 0, 2, 1, 0, 6], [0, 1, 0, 5, 1, 0, 0, 4, 4], [0, 1, 0, 5, 1, 0, 1, 2, 5], [0, 1, 0, 5, 1, 0, 2, 0, 6], [0, 1, 0, 5, 1, 1, 0, 1, 6], [0, 1, 0, 5, 2, 0, 0, 0, 7], [0, 1, 0, 6, 0, 0, 0, 3, 5], [0, 1, 0, 6, 0, 0, 1, 1, 6], [0, 1, 0, 6, 0, 1, 0, 0, 7], [0, 1, 1, 0, 0, 1, 12, 0, 0], [0, 1, 1, 0, 0, 2, 10, 1, 0], [0, 1, 1, 0, 0, 3, 8, 2, 0], [0, 1, 1, 0, 0, 3, 9, 0, 1], [0, 1, 1, 0, 0, 4, 6, 3, 0], [0, 1, 1, 0, 0, 4, 7, 1, 1], [0, 1, 1, 0, 0, 5, 4, 4, 0], [0, 1, 1, 0, 0, 5, 5, 2, 1], [0, 1, 1, 0, 0, 5, 6, 0, 2], [0, 1, 1, 0, 0, 6, 2, 5, 0], [0, 1, 1, 0, 0, 6, 3, 3, 1], [0, 1, 1, 0, 0, 6, 4, 1, 2], [0, 1, 1, 0, 0, 7, 0, 6, 0], [0, 1, 1, 0, 0, 7, 1, 4, 1], [0, 1, 1, 0, 0, 7, 2, 2, 2], [0, 1, 1, 0, 0, 7, 3, 0, 3], [0, 1, 1, 0, 0, 8, 0, 3, 2], [0, 1, 1, 0, 0, 8, 1, 1, 3], [0, 1, 1, 0, 0, 9, 0, 0, 4], [0, 1, 1, 0, 1, 0, 11, 1, 0], [0, 1, 1, 0, 1, 1, 9, 2, 0], [0, 1, 1, 0, 1, 1, 10, 0, 1], [0, 1, 1, 0, 1, 2, 7, 3, 0], [0, 1, 1, 0, 1, 2, 8, 1, 1], [0, 1, 1, 0, 1, 3, 5, 4, 0], [0, 1, 1, 0, 1, 3, 6, 2, 1], [0, 1, 1, 0, 1, 3, 7, 0, 2], [0, 1, 1, 0, 1, 4, 3, 5, 0], [0, 1, 1, 0, 1, 4, 4, 3, 1], [0, 1, 1, 0, 1, 4, 5, 1, 2], [0, 1, 1, 0, 1, 5, 1, 6, 0], [0, 1, 1, 0, 1, 5, 2, 4, 1], [0, 1, 1, 0, 1, 5, 3, 2, 2], [0, 1, 1, 0, 1, 5, 4, 0, 3], [0, 1, 1, 0, 1, 6, 0, 5, 1], [0, 1, 1, 0, 1, 6, 1, 3, 2], [0, 1, 1, 0, 1, 6, 2, 1, 3], [0, 1, 1, 0, 1, 7, 0, 2, 3], [0, 1, 1, 0, 1, 7, 1, 0, 4], [0, 1, 1, 0, 2, 0, 8, 3, 0], [0, 1, 1, 0, 2, 0, 9, 1, 1], [0, 1, 1, 0, 2, 1, 6, 4, 0], [0, 1, 1, 0, 2, 1, 7, 2, 1], [0, 1, 1, 0, 2, 1, 8, 0, 2], [0, 1, 1, 0, 2, 2, 4, 5, 0], [0, 1, 1, 0, 2, 2, 5, 3, 1], [0, 1, 1, 0, 2, 2, 6, 1, 2], [0, 1, 1, 0, 2, 3, 2, 6, 0], [0, 1, 1, 0, 2, 3, 3, 4, 1], [0, 1, 1, 0, 2, 3, 4, 2, 2], [0, 1, 1, 0, 2, 3, 5, 0, 3], [0, 1, 1, 0, 2, 4, 0, 7, 0], [0, 1, 1, 0, 2, 4, 1, 5, 1], [0, 1, 1, 0, 2, 4, 2, 3, 2], [0, 1, 1, 0, 2, 4, 3, 1, 3], [0, 1, 1, 0, 2, 5, 0, 4, 2], [0, 1, 1, 0, 2, 5, 1, 2, 3], [0, 1, 1, 0, 2, 5, 2, 0, 4], [0, 1, 1, 0, 2, 6, 0, 1, 4], [0, 1, 1, 0, 3, 0, 5, 5, 0], [0, 1, 1, 0, 3, 0, 6, 3, 1], [0, 1, 1, 0, 3, 0, 7, 1, 2], [0, 1, 1, 0, 3, 1, 3, 6, 0], [0, 1, 1, 0, 3, 1, 4, 4, 1], [0, 1, 1, 0, 3, 1, 5, 2, 2], [0, 1, 1, 0, 3, 1, 6, 0, 3], [0, 1, 1, 0, 3, 2, 1, 7, 0], [0, 1, 1, 0, 3, 2, 2, 5, 1], [0, 1, 1, 0, 3, 2, 3, 3, 2], [0, 1, 1, 0, 3, 2, 4, 1, 3], [0, 1, 1, 0, 3, 3, 0, 6, 1], [0, 1, 1, 0, 3, 3, 1, 4, 2], [0, 1, 1, 0, 3, 3, 2, 2, 3], [0, 1, 1, 0, 3, 3, 3, 0, 4], [0, 1, 1, 0, 3, 4, 0, 3, 3], [0, 1, 1, 0, 3, 4, 1, 1, 4], [0, 1, 1, 0, 3, 5, 0, 0, 5], [0, 1, 1, 0, 4, 0, 2, 7, 0], [0, 1, 1, 0, 4, 0, 3, 5, 1], [0, 1, 1, 0, 4, 0, 4, 3, 2], [0, 1, 1, 0, 4, 0, 5, 1, 3], [0, 1, 1, 0, 4, 1, 0, 8, 0], [0, 1, 1, 0, 4, 1, 1, 6, 1], [0, 1, 1, 0, 4, 1, 2, 4, 2], [0, 1, 1, 0, 4, 1, 3, 2, 3], [0, 1, 1, 0, 4, 1, 4, 0, 4], [0, 1, 1, 0, 4, 2, 0, 5, 2], [0, 1, 1, 0, 4, 2, 1, 3, 3], [0, 1, 1, 0, 4, 2, 2, 1, 4], [0, 1, 1, 0, 4, 3, 0, 2, 4], [0, 1, 1, 0, 4, 3, 1, 0, 5], [0, 1, 1, 0, 5, 0, 0, 7, 1], [0, 1, 1, 0, 5, 0, 1, 5, 2], [0, 1, 1, 0, 5, 0, 2, 3, 3], [0, 1, 1, 0, 5, 0, 3, 1, 4], [0, 1, 1, 0, 5, 1, 0, 4, 3], [0, 1, 1, 0, 5, 1, 1, 2, 4], [0, 1, 1, 0, 5, 1, 2, 0, 5], [0, 1, 1, 0, 5, 2, 0, 1, 5], [0, 1, 1, 0, 6, 0, 0, 3, 4], [0, 1, 1, 0, 6, 0, 1, 1, 5], [0, 1, 1, 0, 6, 1, 0, 0, 6], [0, 1, 1, 1, 0, 0, 10, 2, 0], [0, 1, 1, 1, 0, 0, 11, 0, 1], [0, 1, 1, 1, 0, 1, 8, 3, 0], [0, 1, 1, 1, 0, 1, 9, 1, 1], [0, 1, 1, 1, 0, 2, 6, 4, 0], [0, 1, 1, 1, 0, 2, 7, 2, 1], [0, 1, 1, 1, 0, 2, 8, 0, 2], [0, 1, 1, 1, 0, 3, 4, 5, 0], [0, 1, 1, 1, 0, 3, 5, 3, 1], [0, 1, 1, 1, 0, 3, 6, 1, 2], [0, 1, 1, 1, 0, 4, 2, 6, 0], [0, 1, 1, 1, 0, 4, 3, 4, 1], [0, 1, 1, 1, 0, 4, 4, 2, 2], [0, 1, 1, 1, 0, 4, 5, 0, 3], [0, 1, 1, 1, 0, 5, 0, 7, 0], [0, 1, 1, 1, 0, 5, 1, 5, 1], [0, 1, 1, 1, 0, 5, 2, 3, 2], [0, 1, 1, 1, 0, 5, 3, 1, 3], [0, 1, 1, 1, 0, 6, 0, 4, 2], [0, 1, 1, 1, 0, 6, 1, 2, 3], [0, 1, 1, 1, 0, 6, 2, 0, 4], [0, 1, 1, 1, 0, 7, 0, 1, 4], [0, 1, 1, 1, 1, 0, 7, 4, 0], [0, 1, 1, 1, 1, 0, 8, 2, 1], [0, 1, 1, 1, 1, 0, 9, 0, 2], [0, 1, 1, 1, 1, 1, 5, 5, 0], [0, 1, 1, 1, 1, 1, 6, 3, 1], [0, 1, 1, 1, 1, 1, 7, 1, 2], [0, 1, 1, 1, 1, 2, 3, 6, 0], [0, 1, 1, 1, 1, 2, 4, 4, 1], [0, 1, 1, 1, 1, 2, 5, 2, 2], [0, 1, 1, 1, 1, 2, 6, 0, 3], [0, 1, 1, 1, 1, 3, 1, 7, 0], [0, 1, 1, 1, 1, 3, 2, 5, 1], [0, 1, 1, 1, 1, 3, 3, 3, 2], [0, 1, 1, 1, 1, 3, 4, 1, 3], [0, 1, 1, 1, 1, 4, 0, 6, 1], [0, 1, 1, 1, 1, 4, 1, 4, 2], [0, 1, 1, 1, 1, 4, 2, 2, 3], [0, 1, 1, 1, 1, 4, 3, 0, 4], [0, 1, 1, 1, 1, 5, 0, 3, 3], [0, 1, 1, 1, 1, 5, 1, 1, 4], [0, 1, 1, 1, 1, 6, 0, 0, 5], [0, 1, 1, 1, 2, 0, 4, 6, 0], [0, 1, 1, 1, 2, 0, 5, 4, 1], [0, 1, 1, 1, 2, 0, 6, 2, 2], [0, 1, 1, 1, 2, 0, 7, 0, 3], [0, 1, 1, 1, 2, 1, 2, 7, 0], [0, 1, 1, 1, 2, 1, 3, 5, 1], [0, 1, 1, 1, 2, 1, 4, 3, 2], [0, 1, 1, 1, 2, 1, 5, 1, 3], [0, 1, 1, 1, 2, 2, 0, 8, 0], [0, 1, 1, 1, 2, 2, 1, 6, 1], [0, 1, 1, 1, 2, 2, 2, 4, 2], [0, 1, 1, 1, 2, 2, 3, 2, 3], [0, 1, 1, 1, 2, 2, 4, 0, 4], [0, 1, 1, 1, 2, 3, 0, 5, 2], [0, 1, 1, 1, 2, 3, 1, 3, 3], [0, 1, 1, 1, 2, 3, 2, 1, 4], [0, 1, 1, 1, 2, 4, 0, 2, 4], [0, 1, 1, 1, 2, 4, 1, 0, 5], [0, 1, 1, 1, 3, 0, 1, 8, 0], [0, 1, 1, 1, 3, 0, 2, 6, 1], [0, 1, 1, 1, 3, 0, 3, 4, 2], [0, 1, 1, 1, 3, 0, 4, 2, 3], [0, 1, 1, 1, 3, 0, 5, 0, 4], [0, 1, 1, 1, 3, 1, 0, 7, 1], [0, 1, 1, 1, 3, 1, 1, 5, 2], [0, 1, 1, 1, 3, 1, 2, 3, 3], [0, 1, 1, 1, 3, 1, 3, 1, 4], [0, 1, 1, 1, 3, 2, 0, 4, 3], [0, 1, 1, 1, 3, 2, 1, 2, 4], [0, 1, 1, 1, 3, 2, 2, 0, 5], [0, 1, 1, 1, 3, 3, 0, 1, 5], [0, 1, 1, 1, 4, 0, 0, 6, 2], [0, 1, 1, 1, 4, 0, 1, 4, 3], [0, 1, 1, 1, 4, 0, 2, 2, 4], [0, 1, 1, 1, 4, 0, 3, 0, 5], [0, 1, 1, 1, 4, 1, 0, 3, 4], [0, 1, 1, 1, 4, 1, 1, 1, 5], [0, 1, 1, 1, 4, 2, 0, 0, 6], [0, 1, 1, 1, 5, 0, 0, 2, 5], [0, 1, 1, 1, 5, 0, 1, 0, 6], [0, 1, 1, 2, 0, 0, 6, 5, 0], [0, 1, 1, 2, 0, 0, 7, 3, 1], [0, 1, 1, 2, 0, 0, 8, 1, 2], [0, 1, 1, 2, 0, 1, 4, 6, 0], [0, 1, 1, 2, 0, 1, 5, 4, 1], [0, 1, 1, 2, 0, 1, 6, 2, 2], [0, 1, 1, 2, 0, 1, 7, 0, 3], [0, 1, 1, 2, 0, 2, 2, 7, 0], [0, 1, 1, 2, 0, 2, 3, 5, 1], [0, 1, 1, 2, 0, 2, 4, 3, 2], [0, 1, 1, 2, 0, 2, 5, 1, 3], [0, 1, 1, 2, 0, 3, 0, 8, 0], [0, 1, 1, 2, 0, 3, 1, 6, 1], [0, 1, 1, 2, 0, 3, 2, 4, 2], [0, 1, 1, 2, 0, 3, 3, 2, 3], [0, 1, 1, 2, 0, 3, 4, 0, 4], [0, 1, 1, 2, 0, 4, 0, 5, 2], [0, 1, 1, 2, 0, 4, 1, 3, 3], [0, 1, 1, 2, 0, 4, 2, 1, 4], [0, 1, 1, 2, 0, 5, 0, 2, 4], [0, 1, 1, 2, 0, 5, 1, 0, 5], [0, 1, 1, 2, 1, 0, 3, 7, 0], [0, 1, 1, 2, 1, 0, 4, 5, 1], [0, 1, 1, 2, 1, 0, 5, 3, 2], [0, 1, 1, 2, 1, 0, 6, 1, 3], [0, 1, 1, 2, 1, 1, 1, 8, 0], [0, 1, 1, 2, 1, 1, 2, 6, 1], [0, 1, 1, 2, 1, 1, 3, 4, 2], [0, 1, 1, 2, 1, 1, 4, 2, 3], [0, 1, 1, 2, 1, 1, 5, 0, 4], [0, 1, 1, 2, 1, 2, 0, 7, 1], [0, 1, 1, 2, 1, 2, 1, 5, 2], [0, 1, 1, 2, 1, 2, 2, 3, 3], [0, 1, 1, 2, 1, 2, 3, 1, 4], [0, 1, 1, 2, 1, 3, 0, 4, 3], [0, 1, 1, 2, 1, 3, 1, 2, 4], [0, 1, 1, 2, 1, 3, 2, 0, 5], [0, 1, 1, 2, 1, 4, 0, 1, 5], [0, 1, 1, 2, 2, 0, 0, 9, 0], [0, 1, 1, 2, 2, 0, 1, 7, 1], [0, 1, 1, 2, 2, 0, 2, 5, 2], [0, 1, 1, 2, 2, 0, 3, 3, 3], [0, 1, 1, 2, 2, 0, 4, 1, 4], [0, 1, 1, 2, 2, 1, 0, 6, 2], [0, 1, 1, 2, 2, 1, 1, 4, 3], [0, 1, 1, 2, 2, 1, 2, 2, 4], [0, 1, 1, 2, 2, 1, 3, 0, 5], [0, 1, 1, 2, 2, 2, 0, 3, 4], [0, 1, 1, 2, 2, 2, 1, 1, 5], [0, 1, 1, 2, 2, 3, 0, 0, 6], [0, 1, 1, 2, 3, 0, 0, 5, 3], [0, 1, 1, 2, 3, 0, 1, 3, 4], [0, 1, 1, 2, 3, 0, 2, 1, 5], [0, 1, 1, 2, 3, 1, 0, 2, 5], [0, 1, 1, 2, 3, 1, 1, 0, 6], [0, 1, 1, 2, 4, 0, 0, 1, 6], [0, 1, 1, 3, 0, 0, 2, 8, 0], [0, 1, 1, 3, 0, 0, 3, 6, 1], [0, 1, 1, 3, 0, 0, 4, 4, 2], [0, 1, 1, 3, 0, 0, 5, 2, 3], [0, 1, 1, 3, 0, 0, 6, 0, 4], [0, 1, 1, 3, 0, 1, 0, 9, 0], [0, 1, 1, 3, 0, 1, 1, 7, 1], [0, 1, 1, 3, 0, 1, 2, 5, 2], [0, 1, 1, 3, 0, 1, 3, 3, 3], [0, 1, 1, 3, 0, 1, 4, 1, 4], [0, 1, 1, 3, 0, 2, 0, 6, 2], [0, 1, 1, 3, 0, 2, 1, 4, 3], [0, 1, 1, 3, 0, 2, 2, 2, 4], [0, 1, 1, 3, 0, 2, 3, 0, 5], [0, 1, 1, 3, 0, 3, 0, 3, 4], [0, 1, 1, 3, 0, 3, 1, 1, 5], [0, 1, 1, 3, 0, 4, 0, 0, 6], [0, 1, 1, 3, 1, 0, 0, 8, 1], [0, 1, 1, 3, 1, 0, 1, 6, 2], [0, 1, 1, 3, 1, 0, 2, 4, 3], [0, 1, 1, 3, 1, 0, 3, 2, 4], [0, 1, 1, 3, 1, 0, 4, 0, 5], [0, 1, 1, 3, 1, 1, 0, 5, 3], [0, 1, 1, 3, 1, 1, 1, 3, 4], [0, 1, 1, 3, 1, 1, 2, 1, 5], [0, 1, 1, 3, 1, 2, 0, 2, 5], [0, 1, 1, 3, 1, 2, 1, 0, 6], [0, 1, 1, 3, 2, 0, 0, 4, 4], [0, 1, 1, 3, 2, 0, 1, 2, 5], [0, 1, 1, 3, 2, 0, 2, 0, 6], [0, 1, 1, 3, 2, 1, 0, 1, 6], [0, 1, 1, 3, 3, 0, 0, 0, 7], [0, 1, 1, 4, 0, 0, 0, 7, 2], [0, 1, 1, 4, 0, 0, 1, 5, 3], [0, 1, 1, 4, 0, 0, 2, 3, 4], [0, 1, 1, 4, 0, 0, 3, 1, 5], [0, 1, 1, 4, 0, 1, 0, 4, 4], [0, 1, 1, 4, 0, 1, 1, 2, 5], [0, 1, 1, 4, 0, 1, 2, 0, 6], [0, 1, 1, 4, 0, 2, 0, 1, 6], [0, 1, 1, 4, 1, 0, 0, 3, 5], [0, 1, 1, 4, 1, 0, 1, 1, 6], [0, 1, 1, 4, 1, 1, 0, 0, 7], [0, 1, 1, 5, 0, 0, 0, 2, 6], [0, 1, 1, 5, 0, 0, 1, 0, 7], [0, 1, 2, 0, 0, 0, 9, 3, 0], [0, 1, 2, 0, 0, 0, 10, 1, 1], [0, 1, 2, 0, 0, 1, 7, 4, 0], [0, 1, 2, 0, 0, 1, 8, 2, 1], [0, 1, 2, 0, 0, 1, 9, 0, 2], [0, 1, 2, 0, 0, 2, 5, 5, 0], [0, 1, 2, 0, 0, 2, 6, 3, 1], [0, 1, 2, 0, 0, 2, 7, 1, 2], [0, 1, 2, 0, 0, 3, 3, 6, 0], [0, 1, 2, 0, 0, 3, 4, 4, 1], [0, 1, 2, 0, 0, 3, 5, 2, 2], [0, 1, 2, 0, 0, 3, 6, 0, 3], [0, 1, 2, 0, 0, 4, 1, 7, 0], [0, 1, 2, 0, 0, 4, 2, 5, 1], [0, 1, 2, 0, 0, 4, 3, 3, 2], [0, 1, 2, 0, 0, 4, 4, 1, 3], [0, 1, 2, 0, 0, 5, 0, 6, 1], [0, 1, 2, 0, 0, 5, 1, 4, 2], [0, 1, 2, 0, 0, 5, 2, 2, 3], [0, 1, 2, 0, 0, 5, 3, 0, 4], [0, 1, 2, 0, 0, 6, 0, 3, 3], [0, 1, 2, 0, 0, 6, 1, 1, 4], [0, 1, 2, 0, 0, 7, 0, 0, 5], [0, 1, 2, 0, 1, 0, 6, 5, 0], [0, 1, 2, 0, 1, 0, 7, 3, 1], [0, 1, 2, 0, 1, 0, 8, 1, 2], [0, 1, 2, 0, 1, 1, 4, 6, 0], [0, 1, 2, 0, 1, 1, 5, 4, 1], [0, 1, 2, 0, 1, 1, 6, 2, 2], [0, 1, 2, 0, 1, 1, 7, 0, 3], [0, 1, 2, 0, 1, 2, 2, 7, 0], [0, 1, 2, 0, 1, 2, 3, 5, 1], [0, 1, 2, 0, 1, 2, 4, 3, 2], [0, 1, 2, 0, 1, 2, 5, 1, 3], [0, 1, 2, 0, 1, 3, 0, 8, 0], [0, 1, 2, 0, 1, 3, 1, 6, 1], [0, 1, 2, 0, 1, 3, 2, 4, 2], [0, 1, 2, 0, 1, 3, 3, 2, 3], [0, 1, 2, 0, 1, 3, 4, 0, 4], [0, 1, 2, 0, 1, 4, 0, 5, 2], [0, 1, 2, 0, 1, 4, 1, 3, 3], [0, 1, 2, 0, 1, 4, 2, 1, 4], [0, 1, 2, 0, 1, 5, 0, 2, 4], [0, 1, 2, 0, 1, 5, 1, 0, 5], [0, 1, 2, 0, 2, 0, 3, 7, 0], [0, 1, 2, 0, 2, 0, 4, 5, 1], [0, 1, 2, 0, 2, 0, 5, 3, 2], [0, 1, 2, 0, 2, 0, 6, 1, 3], [0, 1, 2, 0, 2, 1, 1, 8, 0], [0, 1, 2, 0, 2, 1, 2, 6, 1], [0, 1, 2, 0, 2, 1, 3, 4, 2], [0, 1, 2, 0, 2, 1, 4, 2, 3], [0, 1, 2, 0, 2, 1, 5, 0, 4], [0, 1, 2, 0, 2, 2, 0, 7, 1], [0, 1, 2, 0, 2, 2, 1, 5, 2], [0, 1, 2, 0, 2, 2, 2, 3, 3], [0, 1, 2, 0, 2, 2, 3, 1, 4], [0, 1, 2, 0, 2, 3, 0, 4, 3], [0, 1, 2, 0, 2, 3, 1, 2, 4], [0, 1, 2, 0, 2, 3, 2, 0, 5], [0, 1, 2, 0, 2, 4, 0, 1, 5], [0, 1, 2, 0, 3, 0, 0, 9, 0], [0, 1, 2, 0, 3, 0, 1, 7, 1], [0, 1, 2, 0, 3, 0, 2, 5, 2], [0, 1, 2, 0, 3, 0, 3, 3, 3], [0, 1, 2, 0, 3, 0, 4, 1, 4], [0, 1, 2, 0, 3, 1, 0, 6, 2], [0, 1, 2, 0, 3, 1, 1, 4, 3], [0, 1, 2, 0, 3, 1, 2, 2, 4], [0, 1, 2, 0, 3, 1, 3, 0, 5], [0, 1, 2, 0, 3, 2, 0, 3, 4], [0, 1, 2, 0, 3, 2, 1, 1, 5], [0, 1, 2, 0, 3, 3, 0, 0, 6], [0, 1, 2, 0, 4, 0, 0, 5, 3], [0, 1, 2, 0, 4, 0, 1, 3, 4], [0, 1, 2, 0, 4, 0, 2, 1, 5], [0, 1, 2, 0, 4, 1, 0, 2, 5], [0, 1, 2, 0, 4, 1, 1, 0, 6], [0, 1, 2, 0, 5, 0, 0, 1, 6], [0, 1, 2, 1, 0, 0, 5, 6, 0], [0, 1, 2, 1, 0, 0, 6, 4, 1], [0, 1, 2, 1, 0, 0, 7, 2, 2], [0, 1, 2, 1, 0, 0, 8, 0, 3], [0, 1, 2, 1, 0, 1, 3, 7, 0], [0, 1, 2, 1, 0, 1, 4, 5, 1], [0, 1, 2, 1, 0, 1, 5, 3, 2], [0, 1, 2, 1, 0, 1, 6, 1, 3], [0, 1, 2, 1, 0, 2, 1, 8, 0], [0, 1, 2, 1, 0, 2, 2, 6, 1], [0, 1, 2, 1, 0, 2, 3, 4, 2], [0, 1, 2, 1, 0, 2, 4, 2, 3], [0, 1, 2, 1, 0, 2, 5, 0, 4], [0, 1, 2, 1, 0, 3, 0, 7, 1], [0, 1, 2, 1, 0, 3, 1, 5, 2], [0, 1, 2, 1, 0, 3, 2, 3, 3], [0, 1, 2, 1, 0, 3, 3, 1, 4], [0, 1, 2, 1, 0, 4, 0, 4, 3], [0, 1, 2, 1, 0, 4, 1, 2, 4], [0, 1, 2, 1, 0, 4, 2, 0, 5], [0, 1, 2, 1, 0, 5, 0, 1, 5], [0, 1, 2, 1, 1, 0, 2, 8, 0], [0, 1, 2, 1, 1, 0, 3, 6, 1], [0, 1, 2, 1, 1, 0, 4, 4, 2], [0, 1, 2, 1, 1, 0, 5, 2, 3], [0, 1, 2, 1, 1, 0, 6, 0, 4], [0, 1, 2, 1, 1, 1, 0, 9, 0], [0, 1, 2, 1, 1, 1, 1, 7, 1], [0, 1, 2, 1, 1, 1, 2, 5, 2], [0, 1, 2, 1, 1, 1, 3, 3, 3], [0, 1, 2, 1, 1, 1, 4, 1, 4], [0, 1, 2, 1, 1, 2, 0, 6, 2], [0, 1, 2, 1, 1, 2, 1, 4, 3], [0, 1, 2, 1, 1, 2, 2, 2, 4], [0, 1, 2, 1, 1, 2, 3, 0, 5], [0, 1, 2, 1, 1, 3, 0, 3, 4], [0, 1, 2, 1, 1, 3, 1, 1, 5], [0, 1, 2, 1, 1, 4, 0, 0, 6], [0, 1, 2, 1, 2, 0, 0, 8, 1], [0, 1, 2, 1, 2, 0, 1, 6, 2], [0, 1, 2, 1, 2, 0, 2, 4, 3], [0, 1, 2, 1, 2, 0, 3, 2, 4], [0, 1, 2, 1, 2, 0, 4, 0, 5], [0, 1, 2, 1, 2, 1, 0, 5, 3], [0, 1, 2, 1, 2, 1, 1, 3, 4], [0, 1, 2, 1, 2, 1, 2, 1, 5], [0, 1, 2, 1, 2, 2, 0, 2, 5], [0, 1, 2, 1, 2, 2, 1, 0, 6], [0, 1, 2, 1, 3, 0, 0, 4, 4], [0, 1, 2, 1, 3, 0, 1, 2, 5], [0, 1, 2, 1, 3, 0, 2, 0, 6], [0, 1, 2, 1, 3, 1, 0, 1, 6], [0, 1, 2, 1, 4, 0, 0, 0, 7], [0, 1, 2, 2, 0, 0, 1, 9, 0], [0, 1, 2, 2, 0, 0, 2, 7, 1], [0, 1, 2, 2, 0, 0, 3, 5, 2], [0, 1, 2, 2, 0, 0, 4, 3, 3], [0, 1, 2, 2, 0, 0, 5, 1, 4], [0, 1, 2, 2, 0, 1, 0, 8, 1], [0, 1, 2, 2, 0, 1, 1, 6, 2], [0, 1, 2, 2, 0, 1, 2, 4, 3], [0, 1, 2, 2, 0, 1, 3, 2, 4], [0, 1, 2, 2, 0, 1, 4, 0, 5], [0, 1, 2, 2, 0, 2, 0, 5, 3], [0, 1, 2, 2, 0, 2, 1, 3, 4], [0, 1, 2, 2, 0, 2, 2, 1, 5], [0, 1, 2, 2, 0, 3, 0, 2, 5], [0, 1, 2, 2, 0, 3, 1, 0, 6], [0, 1, 2, 2, 1, 0, 0, 7, 2], [0, 1, 2, 2, 1, 0, 1, 5, 3], [0, 1, 2, 2, 1, 0, 2, 3, 4], [0, 1, 2, 2, 1, 0, 3, 1, 5], [0, 1, 2, 2, 1, 1, 0, 4, 4], [0, 1, 2, 2, 1, 1, 1, 2, 5], [0, 1, 2, 2, 1, 1, 2, 0, 6], [0, 1, 2, 2, 1, 2, 0, 1, 6], [0, 1, 2, 2, 2, 0, 0, 3, 5], [0, 1, 2, 2, 2, 0, 1, 1, 6], [0, 1, 2, 2, 2, 1, 0, 0, 7], [0, 1, 2, 3, 0, 0, 0, 6, 3], [0, 1, 2, 3, 0, 0, 1, 4, 4], [0, 1, 2, 3, 0, 0, 2, 2, 5], [0, 1, 2, 3, 0, 0, 3, 0, 6], [0, 1, 2, 3, 0, 1, 0, 3, 5], [0, 1, 2, 3, 0, 1, 1, 1, 6], [0, 1, 2, 3, 0, 2, 0, 0, 7], [0, 1, 2, 3, 1, 0, 0, 2, 6], [0, 1, 2, 3, 1, 0, 1, 0, 7], [0, 1, 2, 4, 0, 0, 0, 1, 7], [0, 1, 3, 0, 0, 0, 4, 7, 0], [0, 1, 3, 0, 0, 0, 5, 5, 1], [0, 1, 3, 0, 0, 0, 6, 3, 2], [0, 1, 3, 0, 0, 0, 7, 1, 3], [0, 1, 3, 0, 0, 1, 2, 8, 0], [0, 1, 3, 0, 0, 1, 3, 6, 1], [0, 1, 3, 0, 0, 1, 4, 4, 2], [0, 1, 3, 0, 0, 1, 5, 2, 3], [0, 1, 3, 0, 0, 1, 6, 0, 4], [0, 1, 3, 0, 0, 2, 0, 9, 0], [0, 1, 3, 0, 0, 2, 1, 7, 1], [0, 1, 3, 0, 0, 2, 2, 5, 2], [0, 1, 3, 0, 0, 2, 3, 3, 3], [0, 1, 3, 0, 0, 2, 4, 1, 4], [0, 1, 3, 0, 0, 3, 0, 6, 2], [0, 1, 3, 0, 0, 3, 1, 4, 3], [0, 1, 3, 0, 0, 3, 2, 2, 4], [0, 1, 3, 0, 0, 3, 3, 0, 5], [0, 1, 3, 0, 0, 4, 0, 3, 4], [0, 1, 3, 0, 0, 4, 1, 1, 5], [0, 1, 3, 0, 0, 5, 0, 0, 6], [0, 1, 3, 0, 1, 0, 1, 9, 0], [0, 1, 3, 0, 1, 0, 2, 7, 1], [0, 1, 3, 0, 1, 0, 3, 5, 2], [0, 1, 3, 0, 1, 0, 4, 3, 3], [0, 1, 3, 0, 1, 0, 5, 1, 4], [0, 1, 3, 0, 1, 1, 0, 8, 1], [0, 1, 3, 0, 1, 1, 1, 6, 2], [0, 1, 3, 0, 1, 1, 2, 4, 3], [0, 1, 3, 0, 1, 1, 3, 2, 4], [0, 1, 3, 0, 1, 1, 4, 0, 5], [0, 1, 3, 0, 1, 2, 0, 5, 3], [0, 1, 3, 0, 1, 2, 1, 3, 4], [0, 1, 3, 0, 1, 2, 2, 1, 5], [0, 1, 3, 0, 1, 3, 0, 2, 5], [0, 1, 3, 0, 1, 3, 1, 0, 6], [0, 1, 3, 0, 2, 0, 0, 7, 2], [0, 1, 3, 0, 2, 0, 1, 5, 3], [0, 1, 3, 0, 2, 0, 2, 3, 4], [0, 1, 3, 0, 2, 0, 3, 1, 5], [0, 1, 3, 0, 2, 1, 0, 4, 4], [0, 1, 3, 0, 2, 1, 1, 2, 5], [0, 1, 3, 0, 2, 1, 2, 0, 6], [0, 1, 3, 0, 2, 2, 0, 1, 6], [0, 1, 3, 0, 3, 0, 0, 3, 5], [0, 1, 3, 0, 3, 0, 1, 1, 6], [0, 1, 3, 0, 3, 1, 0, 0, 7], [0, 1, 3, 1, 0, 0, 0, 10, 0], [0, 1, 3, 1, 0, 0, 1, 8, 1], [0, 1, 3, 1, 0, 0, 2, 6, 2], [0, 1, 3, 1, 0, 0, 3, 4, 3], [0, 1, 3, 1, 0, 0, 4, 2, 4], [0, 1, 3, 1, 0, 0, 5, 0, 5], [0, 1, 3, 1, 0, 1, 0, 7, 2], [0, 1, 3, 1, 0, 1, 1, 5, 3], [0, 1, 3, 1, 0, 1, 2, 3, 4], [0, 1, 3, 1, 0, 1, 3, 1, 5], [0, 1, 3, 1, 0, 2, 0, 4, 4], [0, 1, 3, 1, 0, 2, 1, 2, 5], [0, 1, 3, 1, 0, 2, 2, 0, 6], [0, 1, 3, 1, 0, 3, 0, 1, 6], [0, 1, 3, 1, 1, 0, 0, 6, 3], [0, 1, 3, 1, 1, 0, 1, 4, 4], [0, 1, 3, 1, 1, 0, 2, 2, 5], [0, 1, 3, 1, 1, 0, 3, 0, 6], [0, 1, 3, 1, 1, 1, 0, 3, 5], [0, 1, 3, 1, 1, 1, 1, 1, 6], [0, 1, 3, 1, 1, 2, 0, 0, 7], [0, 1, 3, 1, 2, 0, 0, 2, 6], [0, 1, 3, 1, 2, 0, 1, 0, 7], [0, 1, 3, 2, 0, 0, 0, 5, 4], [0, 1, 3, 2, 0, 0, 1, 3, 5], [0, 1, 3, 2, 0, 0, 2, 1, 6], [0, 1, 3, 2, 0, 1, 0, 2, 6], [0, 1, 3, 2, 0, 1, 1, 0, 7], [0, 1, 3, 2, 1, 0, 0, 1, 7], [0, 1, 3, 3, 0, 0, 0, 0, 8], [0, 1, 4, 0, 0, 0, 0, 9, 1], [0, 1, 4, 0, 0, 0, 1, 7, 2], [0, 1, 4, 0, 0, 0, 2, 5, 3], [0, 1, 4, 0, 0, 0, 3, 3, 4], [0, 1, 4, 0, 0, 0, 4, 1, 5], [0, 1, 4, 0, 0, 1, 0, 6, 3], [0, 1, 4, 0, 0, 1, 1, 4, 4], [0, 1, 4, 0, 0, 1, 2, 2, 5], [0, 1, 4, 0, 0, 1, 3, 0, 6], [0, 1, 4, 0, 0, 2, 0, 3, 5], [0, 1, 4, 0, 0, 2, 1, 1, 6], [0, 1, 4, 0, 0, 3, 0, 0, 7], [0, 1, 4, 0, 1, 0, 0, 5, 4], [0, 1, 4, 0, 1, 0, 1, 3, 5], [0, 1, 4, 0, 1, 0, 2, 1, 6], [0, 1, 4, 0, 1, 1, 0, 2, 6], [0, 1, 4, 0, 1, 1, 1, 0, 7], [0, 1, 4, 0, 2, 0, 0, 1, 7], [0, 1, 4, 1, 0, 0, 0, 4, 5], [0, 1, 4, 1, 0, 0, 1, 2, 6], [0, 1, 4, 1, 0, 0, 2, 0, 7], [0, 1, 4, 1, 0, 1, 0, 1, 7], [0, 1, 4, 1, 1, 0, 0, 0, 8], [0, 1, 5, 0, 0, 0, 0, 3, 6], [0, 1, 5, 0, 0, 0, 1, 1, 7], [0, 1, 5, 0, 0, 1, 0, 0, 8], [0, 2, 0, 0, 0, 0, 13, 0, 0], [0, 2, 0, 0, 0, 1, 11, 1, 0], [0, 2, 0, 0, 0, 2, 9, 2, 0], [0, 2, 0, 0, 0, 2, 10, 0, 1], [0, 2, 0, 0, 0, 3, 7, 3, 0], [0, 2, 0, 0, 0, 3, 8, 1, 1], [0, 2, 0, 0, 0, 4, 5, 4, 0], [0, 2, 0, 0, 0, 4, 6, 2, 1], [0, 2, 0, 0, 0, 4, 7, 0, 2], [0, 2, 0, 0, 0, 5, 3, 5, 0], [0, 2, 0, 0, 0, 5, 4, 3, 1], [0, 2, 0, 0, 0, 5, 5, 1, 2], [0, 2, 0, 0, 0, 6, 1, 6, 0], [0, 2, 0, 0, 0, 6, 2, 4, 1], [0, 2, 0, 0, 0, 6, 3, 2, 2], [0, 2, 0, 0, 0, 6, 4, 0, 3], [0, 2, 0, 0, 0, 7, 0, 5, 1], [0, 2, 0, 0, 0, 7, 1, 3, 2], [0, 2, 0, 0, 0, 7, 2, 1, 3], [0, 2, 0, 0, 0, 8, 0, 2, 3], [0, 2, 0, 0, 0, 8, 1, 0, 4], [0, 2, 0, 0, 1, 0, 10, 2, 0], [0, 2, 0, 0, 1, 0, 11, 0, 1], [0, 2, 0, 0, 1, 1, 8, 3, 0], [0, 2, 0, 0, 1, 1, 9, 1, 1], [0, 2, 0, 0, 1, 2, 6, 4, 0], [0, 2, 0, 0, 1, 2, 7, 2, 1], [0, 2, 0, 0, 1, 2, 8, 0, 2], [0, 2, 0, 0, 1, 3, 4, 5, 0], [0, 2, 0, 0, 1, 3, 5, 3, 1], [0, 2, 0, 0, 1, 3, 6, 1, 2], [0, 2, 0, 0, 1, 4, 2, 6, 0], [0, 2, 0, 0, 1, 4, 3, 4, 1], [0, 2, 0, 0, 1, 4, 4, 2, 2], [0, 2, 0, 0, 1, 4, 5, 0, 3], [0, 2, 0, 0, 1, 5, 0, 7, 0], [0, 2, 0, 0, 1, 5, 1, 5, 1], [0, 2, 0, 0, 1, 5, 2, 3, 2], [0, 2, 0, 0, 1, 5, 3, 1, 3], [0, 2, 0, 0, 1, 6, 0, 4, 2], [0, 2, 0, 0, 1, 6, 1, 2, 3], [0, 2, 0, 0, 1, 6, 2, 0, 4], [0, 2, 0, 0, 1, 7, 0, 1, 4], [0, 2, 0, 0, 2, 0, 7, 4, 0], [0, 2, 0, 0, 2, 0, 8, 2, 1], [0, 2, 0, 0, 2, 0, 9, 0, 2], [0, 2, 0, 0, 2, 1, 5, 5, 0], [0, 2, 0, 0, 2, 1, 6, 3, 1], [0, 2, 0, 0, 2, 1, 7, 1, 2], [0, 2, 0, 0, 2, 2, 3, 6, 0], [0, 2, 0, 0, 2, 2, 4, 4, 1], [0, 2, 0, 0, 2, 2, 5, 2, 2], [0, 2, 0, 0, 2, 2, 6, 0, 3], [0, 2, 0, 0, 2, 3, 1, 7, 0], [0, 2, 0, 0, 2, 3, 2, 5, 1], [0, 2, 0, 0, 2, 3, 3, 3, 2], [0, 2, 0, 0, 2, 3, 4, 1, 3], [0, 2, 0, 0, 2, 4, 0, 6, 1], [0, 2, 0, 0, 2, 4, 1, 4, 2], [0, 2, 0, 0, 2, 4, 2, 2, 3], [0, 2, 0, 0, 2, 4, 3, 0, 4], [0, 2, 0, 0, 2, 5, 0, 3, 3], [0, 2, 0, 0, 2, 5, 1, 1, 4], [0, 2, 0, 0, 2, 6, 0, 0, 5], [0, 2, 0, 0, 3, 0, 4, 6, 0], [0, 2, 0, 0, 3, 0, 5, 4, 1], [0, 2, 0, 0, 3, 0, 6, 2, 2], [0, 2, 0, 0, 3, 0, 7, 0, 3], [0, 2, 0, 0, 3, 1, 2, 7, 0], [0, 2, 0, 0, 3, 1, 3, 5, 1], [0, 2, 0, 0, 3, 1, 4, 3, 2], [0, 2, 0, 0, 3, 1, 5, 1, 3], [0, 2, 0, 0, 3, 2, 0, 8, 0], [0, 2, 0, 0, 3, 2, 1, 6, 1], [0, 2, 0, 0, 3, 2, 2, 4, 2], [0, 2, 0, 0, 3, 2, 3, 2, 3], [0, 2, 0, 0, 3, 2, 4, 0, 4], [0, 2, 0, 0, 3, 3, 0, 5, 2], [0, 2, 0, 0, 3, 3, 1, 3, 3], [0, 2, 0, 0, 3, 3, 2, 1, 4], [0, 2, 0, 0, 3, 4, 0, 2, 4], [0, 2, 0, 0, 3, 4, 1, 0, 5], [0, 2, 0, 0, 4, 0, 1, 8, 0], [0, 2, 0, 0, 4, 0, 2, 6, 1], [0, 2, 0, 0, 4, 0, 3, 4, 2], [0, 2, 0, 0, 4, 0, 4, 2, 3], [0, 2, 0, 0, 4, 0, 5, 0, 4], [0, 2, 0, 0, 4, 1, 0, 7, 1], [0, 2, 0, 0, 4, 1, 1, 5, 2], [0, 2, 0, 0, 4, 1, 2, 3, 3], [0, 2, 0, 0, 4, 1, 3, 1, 4], [0, 2, 0, 0, 4, 2, 0, 4, 3], [0, 2, 0, 0, 4, 2, 1, 2, 4], [0, 2, 0, 0, 4, 2, 2, 0, 5], [0, 2, 0, 0, 4, 3, 0, 1, 5], [0, 2, 0, 0, 5, 0, 0, 6, 2], [0, 2, 0, 0, 5, 0, 1, 4, 3], [0, 2, 0, 0, 5, 0, 2, 2, 4], [0, 2, 0, 0, 5, 0, 3, 0, 5], [0, 2, 0, 0, 5, 1, 0, 3, 4], [0, 2, 0, 0, 5, 1, 1, 1, 5], [0, 2, 0, 0, 5, 2, 0, 0, 6], [0, 2, 0, 0, 6, 0, 0, 2, 5], [0, 2, 0, 0, 6, 0, 1, 0, 6], [0, 2, 0, 1, 0, 0, 9, 3, 0], [0, 2, 0, 1, 0, 0, 10, 1, 1], [0, 2, 0, 1, 0, 1, 7, 4, 0], [0, 2, 0, 1, 0, 1, 8, 2, 1], [0, 2, 0, 1, 0, 1, 9, 0, 2], [0, 2, 0, 1, 0, 2, 5, 5, 0], [0, 2, 0, 1, 0, 2, 6, 3, 1], [0, 2, 0, 1, 0, 2, 7, 1, 2], [0, 2, 0, 1, 0, 3, 3, 6, 0], [0, 2, 0, 1, 0, 3, 4, 4, 1], [0, 2, 0, 1, 0, 3, 5, 2, 2], [0, 2, 0, 1, 0, 3, 6, 0, 3], [0, 2, 0, 1, 0, 4, 1, 7, 0], [0, 2, 0, 1, 0, 4, 2, 5, 1], [0, 2, 0, 1, 0, 4, 3, 3, 2], [0, 2, 0, 1, 0, 4, 4, 1, 3], [0, 2, 0, 1, 0, 5, 0, 6, 1], [0, 2, 0, 1, 0, 5, 1, 4, 2], [0, 2, 0, 1, 0, 5, 2, 2, 3], [0, 2, 0, 1, 0, 5, 3, 0, 4], [0, 2, 0, 1, 0, 6, 0, 3, 3], [0, 2, 0, 1, 0, 6, 1, 1, 4], [0, 2, 0, 1, 0, 7, 0, 0, 5], [0, 2, 0, 1, 1, 0, 6, 5, 0], [0, 2, 0, 1, 1, 0, 7, 3, 1], [0, 2, 0, 1, 1, 0, 8, 1, 2], [0, 2, 0, 1, 1, 1, 4, 6, 0], [0, 2, 0, 1, 1, 1, 5, 4, 1], [0, 2, 0, 1, 1, 1, 6, 2, 2], [0, 2, 0, 1, 1, 1, 7, 0, 3], [0, 2, 0, 1, 1, 2, 2, 7, 0], [0, 2, 0, 1, 1, 2, 3, 5, 1], [0, 2, 0, 1, 1, 2, 4, 3, 2], [0, 2, 0, 1, 1, 2, 5, 1, 3], [0, 2, 0, 1, 1, 3, 0, 8, 0], [0, 2, 0, 1, 1, 3, 1, 6, 1], [0, 2, 0, 1, 1, 3, 2, 4, 2], [0, 2, 0, 1, 1, 3, 3, 2, 3], [0, 2, 0, 1, 1, 3, 4, 0, 4], [0, 2, 0, 1, 1, 4, 0, 5, 2], [0, 2, 0, 1, 1, 4, 1, 3, 3], [0, 2, 0, 1, 1, 4, 2, 1, 4], [0, 2, 0, 1, 1, 5, 0, 2, 4], [0, 2, 0, 1, 1, 5, 1, 0, 5], [0, 2, 0, 1, 2, 0, 3, 7, 0], [0, 2, 0, 1, 2, 0, 4, 5, 1], [0, 2, 0, 1, 2, 0, 5, 3, 2], [0, 2, 0, 1, 2, 0, 6, 1, 3], [0, 2, 0, 1, 2, 1, 1, 8, 0], [0, 2, 0, 1, 2, 1, 2, 6, 1], [0, 2, 0, 1, 2, 1, 3, 4, 2], [0, 2, 0, 1, 2, 1, 4, 2, 3], [0, 2, 0, 1, 2, 1, 5, 0, 4], [0, 2, 0, 1, 2, 2, 0, 7, 1], [0, 2, 0, 1, 2, 2, 1, 5, 2], [0, 2, 0, 1, 2, 2, 2, 3, 3], [0, 2, 0, 1, 2, 2, 3, 1, 4], [0, 2, 0, 1, 2, 3, 0, 4, 3], [0, 2, 0, 1, 2, 3, 1, 2, 4], [0, 2, 0, 1, 2, 3, 2, 0, 5], [0, 2, 0, 1, 2, 4, 0, 1, 5], [0, 2, 0, 1, 3, 0, 0, 9, 0], [0, 2, 0, 1, 3, 0, 1, 7, 1], [0, 2, 0, 1, 3, 0, 2, 5, 2], [0, 2, 0, 1, 3, 0, 3, 3, 3], [0, 2, 0, 1, 3, 0, 4, 1, 4], [0, 2, 0, 1, 3, 1, 0, 6, 2], [0, 2, 0, 1, 3, 1, 1, 4, 3], [0, 2, 0, 1, 3, 1, 2, 2, 4], [0, 2, 0, 1, 3, 1, 3, 0, 5], [0, 2, 0, 1, 3, 2, 0, 3, 4], [0, 2, 0, 1, 3, 2, 1, 1, 5], [0, 2, 0, 1, 3, 3, 0, 0, 6], [0, 2, 0, 1, 4, 0, 0, 5, 3], [0, 2, 0, 1, 4, 0, 1, 3, 4], [0, 2, 0, 1, 4, 0, 2, 1, 5], [0, 2, 0, 1, 4, 1, 0, 2, 5], [0, 2, 0, 1, 4, 1, 1, 0, 6], [0, 2, 0, 1, 5, 0, 0, 1, 6], [0, 2, 0, 2, 0, 0, 5, 6, 0], [0, 2, 0, 2, 0, 0, 6, 4, 1], [0, 2, 0, 2, 0, 0, 7, 2, 2], [0, 2, 0, 2, 0, 0, 8, 0, 3], [0, 2, 0, 2, 0, 1, 3, 7, 0], [0, 2, 0, 2, 0, 1, 4, 5, 1], [0, 2, 0, 2, 0, 1, 5, 3, 2], [0, 2, 0, 2, 0, 1, 6, 1, 3], [0, 2, 0, 2, 0, 2, 1, 8, 0], [0, 2, 0, 2, 0, 2, 2, 6, 1], [0, 2, 0, 2, 0, 2, 3, 4, 2], [0, 2, 0, 2, 0, 2, 4, 2, 3], [0, 2, 0, 2, 0, 2, 5, 0, 4], [0, 2, 0, 2, 0, 3, 0, 7, 1], [0, 2, 0, 2, 0, 3, 1, 5, 2], [0, 2, 0, 2, 0, 3, 2, 3, 3], [0, 2, 0, 2, 0, 3, 3, 1, 4], [0, 2, 0, 2, 0, 4, 0, 4, 3], [0, 2, 0, 2, 0, 4, 1, 2, 4], [0, 2, 0, 2, 0, 4, 2, 0, 5], [0, 2, 0, 2, 0, 5, 0, 1, 5], [0, 2, 0, 2, 1, 0, 2, 8, 0], [0, 2, 0, 2, 1, 0, 3, 6, 1], [0, 2, 0, 2, 1, 0, 4, 4, 2], [0, 2, 0, 2, 1, 0, 5, 2, 3], [0, 2, 0, 2, 1, 0, 6, 0, 4], [0, 2, 0, 2, 1, 1, 0, 9, 0], [0, 2, 0, 2, 1, 1, 1, 7, 1], [0, 2, 0, 2, 1, 1, 2, 5, 2], [0, 2, 0, 2, 1, 1, 3, 3, 3], [0, 2, 0, 2, 1, 1, 4, 1, 4], [0, 2, 0, 2, 1, 2, 0, 6, 2], [0, 2, 0, 2, 1, 2, 1, 4, 3], [0, 2, 0, 2, 1, 2, 2, 2, 4], [0, 2, 0, 2, 1, 2, 3, 0, 5], [0, 2, 0, 2, 1, 3, 0, 3, 4], [0, 2, 0, 2, 1, 3, 1, 1, 5], [0, 2, 0, 2, 1, 4, 0, 0, 6], [0, 2, 0, 2, 2, 0, 0, 8, 1], [0, 2, 0, 2, 2, 0, 1, 6, 2], [0, 2, 0, 2, 2, 0, 2, 4, 3], [0, 2, 0, 2, 2, 0, 3, 2, 4], [0, 2, 0, 2, 2, 0, 4, 0, 5], [0, 2, 0, 2, 2, 1, 0, 5, 3], [0, 2, 0, 2, 2, 1, 1, 3, 4], [0, 2, 0, 2, 2, 1, 2, 1, 5], [0, 2, 0, 2, 2, 2, 0, 2, 5], [0, 2, 0, 2, 2, 2, 1, 0, 6], [0, 2, 0, 2, 3, 0, 0, 4, 4], [0, 2, 0, 2, 3, 0, 1, 2, 5], [0, 2, 0, 2, 3, 0, 2, 0, 6], [0, 2, 0, 2, 3, 1, 0, 1, 6], [0, 2, 0, 2, 4, 0, 0, 0, 7], [0, 2, 0, 3, 0, 0, 1, 9, 0], [0, 2, 0, 3, 0, 0, 2, 7, 1], [0, 2, 0, 3, 0, 0, 3, 5, 2], [0, 2, 0, 3, 0, 0, 4, 3, 3], [0, 2, 0, 3, 0, 0, 5, 1, 4], [0, 2, 0, 3, 0, 1, 0, 8, 1], [0, 2, 0, 3, 0, 1, 1, 6, 2], [0, 2, 0, 3, 0, 1, 2, 4, 3], [0, 2, 0, 3, 0, 1, 3, 2, 4], [0, 2, 0, 3, 0, 1, 4, 0, 5], [0, 2, 0, 3, 0, 2, 0, 5, 3], [0, 2, 0, 3, 0, 2, 1, 3, 4], [0, 2, 0, 3, 0, 2, 2, 1, 5], [0, 2, 0, 3, 0, 3, 0, 2, 5], [0, 2, 0, 3, 0, 3, 1, 0, 6], [0, 2, 0, 3, 1, 0, 0, 7, 2], [0, 2, 0, 3, 1, 0, 1, 5, 3], [0, 2, 0, 3, 1, 0, 2, 3, 4], [0, 2, 0, 3, 1, 0, 3, 1, 5], [0, 2, 0, 3, 1, 1, 0, 4, 4], [0, 2, 0, 3, 1, 1, 1, 2, 5], [0, 2, 0, 3, 1, 1, 2, 0, 6], [0, 2, 0, 3, 1, 2, 0, 1, 6], [0, 2, 0, 3, 2, 0, 0, 3, 5], [0, 2, 0, 3, 2, 0, 1, 1, 6], [0, 2, 0, 3, 2, 1, 0, 0, 7], [0, 2, 0, 4, 0, 0, 0, 6, 3], [0, 2, 0, 4, 0, 0, 1, 4, 4], [0, 2, 0, 4, 0, 0, 2, 2, 5], [0, 2, 0, 4, 0, 0, 3, 0, 6], [0, 2, 0, 4, 0, 1, 0, 3, 5], [0, 2, 0, 4, 0, 1, 1, 1, 6], [0, 2, 0, 4, 0, 2, 0, 0, 7], [0, 2, 0, 4, 1, 0, 0, 2, 6], [0, 2, 0, 4, 1, 0, 1, 0, 7], [0, 2, 0, 5, 0, 0, 0, 1, 7], [0, 2, 1, 0, 0, 0, 8, 4, 0], [0, 2, 1, 0, 0, 0, 9, 2, 1], [0, 2, 1, 0, 0, 0, 10, 0, 2], [0, 2, 1, 0, 0, 1, 6, 5, 0], [0, 2, 1, 0, 0, 1, 7, 3, 1], [0, 2, 1, 0, 0, 1, 8, 1, 2], [0, 2, 1, 0, 0, 2, 4, 6, 0], [0, 2, 1, 0, 0, 2, 5, 4, 1], [0, 2, 1, 0, 0, 2, 6, 2, 2], [0, 2, 1, 0, 0, 2, 7, 0, 3], [0, 2, 1, 0, 0, 3, 2, 7, 0], [0, 2, 1, 0, 0, 3, 3, 5, 1], [0, 2, 1, 0, 0, 3, 4, 3, 2], [0, 2, 1, 0, 0, 3, 5, 1, 3], [0, 2, 1, 0, 0, 4, 0, 8, 0], [0, 2, 1, 0, 0, 4, 1, 6, 1], [0, 2, 1, 0, 0, 4, 2, 4, 2], [0, 2, 1, 0, 0, 4, 3, 2, 3], [0, 2, 1, 0, 0, 4, 4, 0, 4], [0, 2, 1, 0, 0, 5, 0, 5, 2], [0, 2, 1, 0, 0, 5, 1, 3, 3], [0, 2, 1, 0, 0, 5, 2, 1, 4], [0, 2, 1, 0, 0, 6, 0, 2, 4], [0, 2, 1, 0, 0, 6, 1, 0, 5], [0, 2, 1, 0, 1, 0, 5, 6, 0], [0, 2, 1, 0, 1, 0, 6, 4, 1], [0, 2, 1, 0, 1, 0, 7, 2, 2], [0, 2, 1, 0, 1, 0, 8, 0, 3], [0, 2, 1, 0, 1, 1, 3, 7, 0], [0, 2, 1, 0, 1, 1, 4, 5, 1], [0, 2, 1, 0, 1, 1, 5, 3, 2], [0, 2, 1, 0, 1, 1, 6, 1, 3], [0, 2, 1, 0, 1, 2, 1, 8, 0], [0, 2, 1, 0, 1, 2, 2, 6, 1], [0, 2, 1, 0, 1, 2, 3, 4, 2], [0, 2, 1, 0, 1, 2, 4, 2, 3], [0, 2, 1, 0, 1, 2, 5, 0, 4], [0, 2, 1, 0, 1, 3, 0, 7, 1], [0, 2, 1, 0, 1, 3, 1, 5, 2], [0, 2, 1, 0, 1, 3, 2, 3, 3], [0, 2, 1, 0, 1, 3, 3, 1, 4], [0, 2, 1, 0, 1, 4, 0, 4, 3], [0, 2, 1, 0, 1, 4, 1, 2, 4], [0, 2, 1, 0, 1, 4, 2, 0, 5], [0, 2, 1, 0, 1, 5, 0, 1, 5], [0, 2, 1, 0, 2, 0, 2, 8, 0], [0, 2, 1, 0, 2, 0, 3, 6, 1], [0, 2, 1, 0, 2, 0, 4, 4, 2], [0, 2, 1, 0, 2, 0, 5, 2, 3], [0, 2, 1, 0, 2, 0, 6, 0, 4], [0, 2, 1, 0, 2, 1, 0, 9, 0], [0, 2, 1, 0, 2, 1, 1, 7, 1], [0, 2, 1, 0, 2, 1, 2, 5, 2], [0, 2, 1, 0, 2, 1, 3, 3, 3], [0, 2, 1, 0, 2, 1, 4, 1, 4], [0, 2, 1, 0, 2, 2, 0, 6, 2], [0, 2, 1, 0, 2, 2, 1, 4, 3], [0, 2, 1, 0, 2, 2, 2, 2, 4], [0, 2, 1, 0, 2, 2, 3, 0, 5], [0, 2, 1, 0, 2, 3, 0, 3, 4], [0, 2, 1, 0, 2, 3, 1, 1, 5], [0, 2, 1, 0, 2, 4, 0, 0, 6], [0, 2, 1, 0, 3, 0, 0, 8, 1], [0, 2, 1, 0, 3, 0, 1, 6, 2], [0, 2, 1, 0, 3, 0, 2, 4, 3], [0, 2, 1, 0, 3, 0, 3, 2, 4], [0, 2, 1, 0, 3, 0, 4, 0, 5], [0, 2, 1, 0, 3, 1, 0, 5, 3], [0, 2, 1, 0, 3, 1, 1, 3, 4], [0, 2, 1, 0, 3, 1, 2, 1, 5], [0, 2, 1, 0, 3, 2, 0, 2, 5], [0, 2, 1, 0, 3, 2, 1, 0, 6], [0, 2, 1, 0, 4, 0, 0, 4, 4], [0, 2, 1, 0, 4, 0, 1, 2, 5], [0, 2, 1, 0, 4, 0, 2, 0, 6], [0, 2, 1, 0, 4, 1, 0, 1, 6], [0, 2, 1, 0, 5, 0, 0, 0, 7], [0, 2, 1, 1, 0, 0, 4, 7, 0], [0, 2, 1, 1, 0, 0, 5, 5, 1], [0, 2, 1, 1, 0, 0, 6, 3, 2], [0, 2, 1, 1, 0, 0, 7, 1, 3], [0, 2, 1, 1, 0, 1, 2, 8, 0], [0, 2, 1, 1, 0, 1, 3, 6, 1], [0, 2, 1, 1, 0, 1, 4, 4, 2], [0, 2, 1, 1, 0, 1, 5, 2, 3], [0, 2, 1, 1, 0, 1, 6, 0, 4], [0, 2, 1, 1, 0, 2, 0, 9, 0], [0, 2, 1, 1, 0, 2, 1, 7, 1], [0, 2, 1, 1, 0, 2, 2, 5, 2], [0, 2, 1, 1, 0, 2, 3, 3, 3], [0, 2, 1, 1, 0, 2, 4, 1, 4], [0, 2, 1, 1, 0, 3, 0, 6, 2], [0, 2, 1, 1, 0, 3, 1, 4, 3], [0, 2, 1, 1, 0, 3, 2, 2, 4], [0, 2, 1, 1, 0, 3, 3, 0, 5], [0, 2, 1, 1, 0, 4, 0, 3, 4], [0, 2, 1, 1, 0, 4, 1, 1, 5], [0, 2, 1, 1, 0, 5, 0, 0, 6], [0, 2, 1, 1, 1, 0, 1, 9, 0], [0, 2, 1, 1, 1, 0, 2, 7, 1], [0, 2, 1, 1, 1, 0, 3, 5, 2], [0, 2, 1, 1, 1, 0, 4, 3, 3], [0, 2, 1, 1, 1, 0, 5, 1, 4], [0, 2, 1, 1, 1, 1, 0, 8, 1], [0, 2, 1, 1, 1, 1, 1, 6, 2], [0, 2, 1, 1, 1, 1, 2, 4, 3], [0, 2, 1, 1, 1, 1, 3, 2, 4], [0, 2, 1, 1, 1, 1, 4, 0, 5], [0, 2, 1, 1, 1, 2, 0, 5, 3], [0, 2, 1, 1, 1, 2, 1, 3, 4], [0, 2, 1, 1, 1, 2, 2, 1, 5], [0, 2, 1, 1, 1, 3, 0, 2, 5], [0, 2, 1, 1, 1, 3, 1, 0, 6], [0, 2, 1, 1, 2, 0, 0, 7, 2], [0, 2, 1, 1, 2, 0, 1, 5, 3], [0, 2, 1, 1, 2, 0, 2, 3, 4], [0, 2, 1, 1, 2, 0, 3, 1, 5], [0, 2, 1, 1, 2, 1, 0, 4, 4], [0, 2, 1, 1, 2, 1, 1, 2, 5], [0, 2, 1, 1, 2, 1, 2, 0, 6], [0, 2, 1, 1, 2, 2, 0, 1, 6], [0, 2, 1, 1, 3, 0, 0, 3, 5], [0, 2, 1, 1, 3, 0, 1, 1, 6], [0, 2, 1, 1, 3, 1, 0, 0, 7], [0, 2, 1, 2, 0, 0, 0, 10, 0], [0, 2, 1, 2, 0, 0, 1, 8, 1], [0, 2, 1, 2, 0, 0, 2, 6, 2], [0, 2, 1, 2, 0, 0, 3, 4, 3], [0, 2, 1, 2, 0, 0, 4, 2, 4], [0, 2, 1, 2, 0, 0, 5, 0, 5], [0, 2, 1, 2, 0, 1, 0, 7, 2], [0, 2, 1, 2, 0, 1, 1, 5, 3], [0, 2, 1, 2, 0, 1, 2, 3, 4], [0, 2, 1, 2, 0, 1, 3, 1, 5], [0, 2, 1, 2, 0, 2, 0, 4, 4], [0, 2, 1, 2, 0, 2, 1, 2, 5], [0, 2, 1, 2, 0, 2, 2, 0, 6], [0, 2, 1, 2, 0, 3, 0, 1, 6], [0, 2, 1, 2, 1, 0, 0, 6, 3], [0, 2, 1, 2, 1, 0, 1, 4, 4], [0, 2, 1, 2, 1, 0, 2, 2, 5], [0, 2, 1, 2, 1, 0, 3, 0, 6], [0, 2, 1, 2, 1, 1, 0, 3, 5], [0, 2, 1, 2, 1, 1, 1, 1, 6], [0, 2, 1, 2, 1, 2, 0, 0, 7], [0, 2, 1, 2, 2, 0, 0, 2, 6], [0, 2, 1, 2, 2, 0, 1, 0, 7], [0, 2, 1, 3, 0, 0, 0, 5, 4], [0, 2, 1, 3, 0, 0, 1, 3, 5], [0, 2, 1, 3, 0, 0, 2, 1, 6], [0, 2, 1, 3, 0, 1, 0, 2, 6], [0, 2, 1, 3, 0, 1, 1, 0, 7], [0, 2, 1, 3, 1, 0, 0, 1, 7], [0, 2, 1, 4, 0, 0, 0, 0, 8], [0, 2, 2, 0, 0, 0, 3, 8, 0], [0, 2, 2, 0, 0, 0, 4, 6, 1], [0, 2, 2, 0, 0, 0, 5, 4, 2], [0, 2, 2, 0, 0, 0, 6, 2, 3], [0, 2, 2, 0, 0, 0, 7, 0, 4], [0, 2, 2, 0, 0, 1, 1, 9, 0], [0, 2, 2, 0, 0, 1, 2, 7, 1], [0, 2, 2, 0, 0, 1, 3, 5, 2], [0, 2, 2, 0, 0, 1, 4, 3, 3], [0, 2, 2, 0, 0, 1, 5, 1, 4], [0, 2, 2, 0, 0, 2, 0, 8, 1], [0, 2, 2, 0, 0, 2, 1, 6, 2], [0, 2, 2, 0, 0, 2, 2, 4, 3], [0, 2, 2, 0, 0, 2, 3, 2, 4], [0, 2, 2, 0, 0, 2, 4, 0, 5], [0, 2, 2, 0, 0, 3, 0, 5, 3], [0, 2, 2, 0, 0, 3, 1, 3, 4], [0, 2, 2, 0, 0, 3, 2, 1, 5], [0, 2, 2, 0, 0, 4, 0, 2, 5], [0, 2, 2, 0, 0, 4, 1, 0, 6], [0, 2, 2, 0, 1, 0, 0, 10, 0], [0, 2, 2, 0, 1, 0, 1, 8, 1], [0, 2, 2, 0, 1, 0, 2, 6, 2], [0, 2, 2, 0, 1, 0, 3, 4, 3], [0, 2, 2, 0, 1, 0, 4, 2, 4], [0, 2, 2, 0, 1, 0, 5, 0, 5], [0, 2, 2, 0, 1, 1, 0, 7, 2], [0, 2, 2, 0, 1, 1, 1, 5, 3], [0, 2, 2, 0, 1, 1, 2, 3, 4], [0, 2, 2, 0, 1, 1, 3, 1, 5], [0, 2, 2, 0, 1, 2, 0, 4, 4], [0, 2, 2, 0, 1, 2, 1, 2, 5], [0, 2, 2, 0, 1, 2, 2, 0, 6], [0, 2, 2, 0, 1, 3, 0, 1, 6], [0, 2, 2, 0, 2, 0, 0, 6, 3], [0, 2, 2, 0, 2, 0, 1, 4, 4], [0, 2, 2, 0, 2, 0, 2, 2, 5], [0, 2, 2, 0, 2, 0, 3, 0, 6], [0, 2, 2, 0, 2, 1, 0, 3, 5], [0, 2, 2, 0, 2, 1, 1, 1, 6], [0, 2, 2, 0, 2, 2, 0, 0, 7], [0, 2, 2, 0, 3, 0, 0, 2, 6], [0, 2, 2, 0, 3, 0, 1, 0, 7], [0, 2, 2, 1, 0, 0, 0, 9, 1], [0, 2, 2, 1, 0, 0, 1, 7, 2], [0, 2, 2, 1, 0, 0, 2, 5, 3], [0, 2, 2, 1, 0, 0, 3, 3, 4], [0, 2, 2, 1, 0, 0, 4, 1, 5], [0, 2, 2, 1, 0, 1, 0, 6, 3], [0, 2, 2, 1, 0, 1, 1, 4, 4], [0, 2, 2, 1, 0, 1, 2, 2, 5], [0, 2, 2, 1, 0, 1, 3, 0, 6], [0, 2, 2, 1, 0, 2, 0, 3, 5], [0, 2, 2, 1, 0, 2, 1, 1, 6], [0, 2, 2, 1, 0, 3, 0, 0, 7], [0, 2, 2, 1, 1, 0, 0, 5, 4], [0, 2, 2, 1, 1, 0, 1, 3, 5], [0, 2, 2, 1, 1, 0, 2, 1, 6], [0, 2, 2, 1, 1, 1, 0, 2, 6], [0, 2, 2, 1, 1, 1, 1, 0, 7], [0, 2, 2, 1, 2, 0, 0, 1, 7], [0, 2, 2, 2, 0, 0, 0, 4, 5], [0, 2, 2, 2, 0, 0, 1, 2, 6], [0, 2, 2, 2, 0, 0, 2, 0, 7], [0, 2, 2, 2, 0, 1, 0, 1, 7], [0, 2, 2, 2, 1, 0, 0, 0, 8], [0, 2, 3, 0, 0, 0, 0, 8, 2], [0, 2, 3, 0, 0, 0, 1, 6, 3], [0, 2, 3, 0, 0, 0, 2, 4, 4], [0, 2, 3, 0, 0, 0, 3, 2, 5], [0, 2, 3, 0, 0, 0, 4, 0, 6], [0, 2, 3, 0, 0, 1, 0, 5, 4], [0, 2, 3, 0, 0, 1, 1, 3, 5], [0, 2, 3, 0, 0, 1, 2, 1, 6], [0, 2, 3, 0, 0, 2, 0, 2, 6], [0, 2, 3, 0, 0, 2, 1, 0, 7], [0, 2, 3, 0, 1, 0, 0, 4, 5], [0, 2, 3, 0, 1, 0, 1, 2, 6], [0, 2, 3, 0, 1, 0, 2, 0, 7], [0, 2, 3, 0, 1, 1, 0, 1, 7], [0, 2, 3, 0, 2, 0, 0, 0, 8], [0, 2, 3, 1, 0, 0, 0, 3, 6], [0, 2, 3, 1, 0, 0, 1, 1, 7], [0, 2, 3, 1, 0, 1, 0, 0, 8], [0, 2, 4, 0, 0, 0, 0, 2, 7], [0, 2, 4, 0, 0, 0, 1, 0, 8], [0, 3, 0, 0, 0, 0, 7, 5, 0], [0, 3, 0, 0, 0, 0, 8, 3, 1], [0, 3, 0, 0, 0, 0, 9, 1, 2], [0, 3, 0, 0, 0, 1, 5, 6, 0], [0, 3, 0, 0, 0, 1, 6, 4, 1], [0, 3, 0, 0, 0, 1, 7, 2, 2], [0, 3, 0, 0, 0, 1, 8, 0, 3], [0, 3, 0, 0, 0, 2, 3, 7, 0], [0, 3, 0, 0, 0, 2, 4, 5, 1], [0, 3, 0, 0, 0, 2, 5, 3, 2], [0, 3, 0, 0, 0, 2, 6, 1, 3], [0, 3, 0, 0, 0, 3, 1, 8, 0], [0, 3, 0, 0, 0, 3, 2, 6, 1], [0, 3, 0, 0, 0, 3, 3, 4, 2], [0, 3, 0, 0, 0, 3, 4, 2, 3], [0, 3, 0, 0, 0, 3, 5, 0, 4], [0, 3, 0, 0, 0, 4, 0, 7, 1], [0, 3, 0, 0, 0, 4, 1, 5, 2], [0, 3, 0, 0, 0, 4, 2, 3, 3], [0, 3, 0, 0, 0, 4, 3, 1, 4], [0, 3, 0, 0, 0, 5, 0, 4, 3], [0, 3, 0, 0, 0, 5, 1, 2, 4], [0, 3, 0, 0, 0, 5, 2, 0, 5], [0, 3, 0, 0, 0, 6, 0, 1, 5], [0, 3, 0, 0, 1, 0, 4, 7, 0], [0, 3, 0, 0, 1, 0, 5, 5, 1], [0, 3, 0, 0, 1, 0, 6, 3, 2], [0, 3, 0, 0, 1, 0, 7, 1, 3], [0, 3, 0, 0, 1, 1, 2, 8, 0], [0, 3, 0, 0, 1, 1, 3, 6, 1], [0, 3, 0, 0, 1, 1, 4, 4, 2], [0, 3, 0, 0, 1, 1, 5, 2, 3], [0, 3, 0, 0, 1, 1, 6, 0, 4], [0, 3, 0, 0, 1, 2, 0, 9, 0], [0, 3, 0, 0, 1, 2, 1, 7, 1], [0, 3, 0, 0, 1, 2, 2, 5, 2], [0, 3, 0, 0, 1, 2, 3, 3, 3], [0, 3, 0, 0, 1, 2, 4, 1, 4], [0, 3, 0, 0, 1, 3, 0, 6, 2], [0, 3, 0, 0, 1, 3, 1, 4, 3], [0, 3, 0, 0, 1, 3, 2, 2, 4], [0, 3, 0, 0, 1, 3, 3, 0, 5], [0, 3, 0, 0, 1, 4, 0, 3, 4], [0, 3, 0, 0, 1, 4, 1, 1, 5], [0, 3, 0, 0, 1, 5, 0, 0, 6], [0, 3, 0, 0, 2, 0, 1, 9, 0], [0, 3, 0, 0, 2, 0, 2, 7, 1], [0, 3, 0, 0, 2, 0, 3, 5, 2], [0, 3, 0, 0, 2, 0, 4, 3, 3], [0, 3, 0, 0, 2, 0, 5, 1, 4], [0, 3, 0, 0, 2, 1, 0, 8, 1], [0, 3, 0, 0, 2, 1, 1, 6, 2], [0, 3, 0, 0, 2, 1, 2, 4, 3], [0, 3, 0, 0, 2, 1, 3, 2, 4], [0, 3, 0, 0, 2, 1, 4, 0, 5], [0, 3, 0, 0, 2, 2, 0, 5, 3], [0, 3, 0, 0, 2, 2, 1, 3, 4], [0, 3, 0, 0, 2, 2, 2, 1, 5], [0, 3, 0, 0, 2, 3, 0, 2, 5], [0, 3, 0, 0, 2, 3, 1, 0, 6], [0, 3, 0, 0, 3, 0, 0, 7, 2], [0, 3, 0, 0, 3, 0, 1, 5, 3], [0, 3, 0, 0, 3, 0, 2, 3, 4], [0, 3, 0, 0, 3, 0, 3, 1, 5], [0, 3, 0, 0, 3, 1, 0, 4, 4], [0, 3, 0, 0, 3, 1, 1, 2, 5], [0, 3, 0, 0, 3, 1, 2, 0, 6], [0, 3, 0, 0, 3, 2, 0, 1, 6], [0, 3, 0, 0, 4, 0, 0, 3, 5], [0, 3, 0, 0, 4, 0, 1, 1, 6], [0, 3, 0, 0, 4, 1, 0, 0, 7], [0, 3, 0, 1, 0, 0, 3, 8, 0], [0, 3, 0, 1, 0, 0, 4, 6, 1], [0, 3, 0, 1, 0, 0, 5, 4, 2], [0, 3, 0, 1, 0, 0, 6, 2, 3], [0, 3, 0, 1, 0, 0, 7, 0, 4], [0, 3, 0, 1, 0, 1, 1, 9, 0], [0, 3, 0, 1, 0, 1, 2, 7, 1], [0, 3, 0, 1, 0, 1, 3, 5, 2], [0, 3, 0, 1, 0, 1, 4, 3, 3], [0, 3, 0, 1, 0, 1, 5, 1, 4], [0, 3, 0, 1, 0, 2, 0, 8, 1], [0, 3, 0, 1, 0, 2, 1, 6, 2], [0, 3, 0, 1, 0, 2, 2, 4, 3], [0, 3, 0, 1, 0, 2, 3, 2, 4], [0, 3, 0, 1, 0, 2, 4, 0, 5], [0, 3, 0, 1, 0, 3, 0, 5, 3], [0, 3, 0, 1, 0, 3, 1, 3, 4], [0, 3, 0, 1, 0, 3, 2, 1, 5], [0, 3, 0, 1, 0, 4, 0, 2, 5], [0, 3, 0, 1, 0, 4, 1, 0, 6], [0, 3, 0, 1, 1, 0, 0, 10, 0], [0, 3, 0, 1, 1, 0, 1, 8, 1], [0, 3, 0, 1, 1, 0, 2, 6, 2], [0, 3, 0, 1, 1, 0, 3, 4, 3], [0, 3, 0, 1, 1, 0, 4, 2, 4], [0, 3, 0, 1, 1, 0, 5, 0, 5], [0, 3, 0, 1, 1, 1, 0, 7, 2], [0, 3, 0, 1, 1, 1, 1, 5, 3], [0, 3, 0, 1, 1, 1, 2, 3, 4], [0, 3, 0, 1, 1, 1, 3, 1, 5], [0, 3, 0, 1, 1, 2, 0, 4, 4], [0, 3, 0, 1, 1, 2, 1, 2, 5], [0, 3, 0, 1, 1, 2, 2, 0, 6], [0, 3, 0, 1, 1, 3, 0, 1, 6], [0, 3, 0, 1, 2, 0, 0, 6, 3], [0, 3, 0, 1, 2, 0, 1, 4, 4], [0, 3, 0, 1, 2, 0, 2, 2, 5], [0, 3, 0, 1, 2, 0, 3, 0, 6], [0, 3, 0, 1, 2, 1, 0, 3, 5], [0, 3, 0, 1, 2, 1, 1, 1, 6], [0, 3, 0, 1, 2, 2, 0, 0, 7], [0, 3, 0, 1, 3, 0, 0, 2, 6], [0, 3, 0, 1, 3, 0, 1, 0, 7], [0, 3, 0, 2, 0, 0, 0, 9, 1], [0, 3, 0, 2, 0, 0, 1, 7, 2], [0, 3, 0, 2, 0, 0, 2, 5, 3], [0, 3, 0, 2, 0, 0, 3, 3, 4], [0, 3, 0, 2, 0, 0, 4, 1, 5], [0, 3, 0, 2, 0, 1, 0, 6, 3], [0, 3, 0, 2, 0, 1, 1, 4, 4], [0, 3, 0, 2, 0, 1, 2, 2, 5], [0, 3, 0, 2, 0, 1, 3, 0, 6], [0, 3, 0, 2, 0, 2, 0, 3, 5], [0, 3, 0, 2, 0, 2, 1, 1, 6], [0, 3, 0, 2, 0, 3, 0, 0, 7], [0, 3, 0, 2, 1, 0, 0, 5, 4], [0, 3, 0, 2, 1, 0, 1, 3, 5], [0, 3, 0, 2, 1, 0, 2, 1, 6], [0, 3, 0, 2, 1, 1, 0, 2, 6], [0, 3, 0, 2, 1, 1, 1, 0, 7], [0, 3, 0, 2, 2, 0, 0, 1, 7], [0, 3, 0, 3, 0, 0, 0, 4, 5], [0, 3, 0, 3, 0, 0, 1, 2, 6], [0, 3, 0, 3, 0, 0, 2, 0, 7], [0, 3, 0, 3, 0, 1, 0, 1, 7], [0, 3, 0, 3, 1, 0, 0, 0, 8], [0, 3, 1, 0, 0, 0, 2, 9, 0], [0, 3, 1, 0, 0, 0, 3, 7, 1], [0, 3, 1, 0, 0, 0, 4, 5, 2], [0, 3, 1, 0, 0, 0, 5, 3, 3], [0, 3, 1, 0, 0, 0, 6, 1, 4], [0, 3, 1, 0, 0, 1, 0, 10, 0], [0, 3, 1, 0, 0, 1, 1, 8, 1], [0, 3, 1, 0, 0, 1, 2, 6, 2], [0, 3, 1, 0, 0, 1, 3, 4, 3], [0, 3, 1, 0, 0, 1, 4, 2, 4], [0, 3, 1, 0, 0, 1, 5, 0, 5], [0, 3, 1, 0, 0, 2, 0, 7, 2], [0, 3, 1, 0, 0, 2, 1, 5, 3], [0, 3, 1, 0, 0, 2, 2, 3, 4], [0, 3, 1, 0, 0, 2, 3, 1, 5], [0, 3, 1, 0, 0, 3, 0, 4, 4], [0, 3, 1, 0, 0, 3, 1, 2, 5], [0, 3, 1, 0, 0, 3, 2, 0, 6], [0, 3, 1, 0, 0, 4, 0, 1, 6], [0, 3, 1, 0, 1, 0, 0, 9, 1], [0, 3, 1, 0, 1, 0, 1, 7, 2], [0, 3, 1, 0, 1, 0, 2, 5, 3], [0, 3, 1, 0, 1, 0, 3, 3, 4], [0, 3, 1, 0, 1, 0, 4, 1, 5], [0, 3, 1, 0, 1, 1, 0, 6, 3], [0, 3, 1, 0, 1, 1, 1, 4, 4], [0, 3, 1, 0, 1, 1, 2, 2, 5], [0, 3, 1, 0, 1, 1, 3, 0, 6], [0, 3, 1, 0, 1, 2, 0, 3, 5], [0, 3, 1, 0, 1, 2, 1, 1, 6], [0, 3, 1, 0, 1, 3, 0, 0, 7], [0, 3, 1, 0, 2, 0, 0, 5, 4], [0, 3, 1, 0, 2, 0, 1, 3, 5], [0, 3, 1, 0, 2, 0, 2, 1, 6], [0, 3, 1, 0, 2, 1, 0, 2, 6], [0, 3, 1, 0, 2, 1, 1, 0, 7], [0, 3, 1, 0, 3, 0, 0, 1, 7], [0, 3, 1, 1, 0, 0, 0, 8, 2], [0, 3, 1, 1, 0, 0, 1, 6, 3], [0, 3, 1, 1, 0, 0, 2, 4, 4], [0, 3, 1, 1, 0, 0, 3, 2, 5], [0, 3, 1, 1, 0, 0, 4, 0, 6], [0, 3, 1, 1, 0, 1, 0, 5, 4], [0, 3, 1, 1, 0, 1, 1, 3, 5], [0, 3, 1, 1, 0, 1, 2, 1, 6], [0, 3, 1, 1, 0, 2, 0, 2, 6], [0, 3, 1, 1, 0, 2, 1, 0, 7], [0, 3, 1, 1, 1, 0, 0, 4, 5], [0, 3, 1, 1, 1, 0, 1, 2, 6], [0, 3, 1, 1, 1, 0, 2, 0, 7], [0, 3, 1, 1, 1, 1, 0, 1, 7], [0, 3, 1, 1, 2, 0, 0, 0, 8], [0, 3, 1, 2, 0, 0, 0, 3, 6], [0, 3, 1, 2, 0, 0, 1, 1, 7], [0, 3, 1, 2, 0, 1, 0, 0, 8], [0, 3, 2, 0, 0, 0, 0, 7, 3], [0, 3, 2, 0, 0, 0, 1, 5, 4], [0, 3, 2, 0, 0, 0, 2, 3, 5], [0, 3, 2, 0, 0, 0, 3, 1, 6], [0, 3, 2, 0, 0, 1, 0, 4, 5], [0, 3, 2, 0, 0, 1, 1, 2, 6], [0, 3, 2, 0, 0, 1, 2, 0, 7], [0, 3, 2, 0, 0, 2, 0, 1, 7], [0, 3, 2, 0, 1, 0, 0, 3, 6], [0, 3, 2, 0, 1, 0, 1, 1, 7], [0, 3, 2, 0, 1, 1, 0, 0, 8], [0, 3, 2, 1, 0, 0, 0, 2, 7], [0, 3, 2, 1, 0, 0, 1, 0, 8], [0, 3, 3, 0, 0, 0, 0, 1, 8], [0, 4, 0, 0, 0, 0, 1, 10, 0], [0, 4, 0, 0, 0, 0, 2, 8, 1], [0, 4, 0, 0, 0, 0, 3, 6, 2], [0, 4, 0, 0, 0, 0, 4, 4, 3], [0, 4, 0, 0, 0, 0, 5, 2, 4], [0, 4, 0, 0, 0, 0, 6, 0, 5], [0, 4, 0, 0, 0, 1, 0, 9, 1], [0, 4, 0, 0, 0, 1, 1, 7, 2], [0, 4, 0, 0, 0, 1, 2, 5, 3], [0, 4, 0, 0, 0, 1, 3, 3, 4], [0, 4, 0, 0, 0, 1, 4, 1, 5], [0, 4, 0, 0, 0, 2, 0, 6, 3], [0, 4, 0, 0, 0, 2, 1, 4, 4], [0, 4, 0, 0, 0, 2, 2, 2, 5], [0, 4, 0, 0, 0, 2, 3, 0, 6], [0, 4, 0, 0, 0, 3, 0, 3, 5], [0, 4, 0, 0, 0, 3, 1, 1, 6], [0, 4, 0, 0, 0, 4, 0, 0, 7], [0, 4, 0, 0, 1, 0, 0, 8, 2], [0, 4, 0, 0, 1, 0, 1, 6, 3], [0, 4, 0, 0, 1, 0, 2, 4, 4], [0, 4, 0, 0, 1, 0, 3, 2, 5], [0, 4, 0, 0, 1, 0, 4, 0, 6], [0, 4, 0, 0, 1, 1, 0, 5, 4], [0, 4, 0, 0, 1, 1, 1, 3, 5], [0, 4, 0, 0, 1, 1, 2, 1, 6], [0, 4, 0, 0, 1, 2, 0, 2, 6], [0, 4, 0, 0, 1, 2, 1, 0, 7], [0, 4, 0, 0, 2, 0, 0, 4, 5], [0, 4, 0, 0, 2, 0, 1, 2, 6], [0, 4, 0, 0, 2, 0, 2, 0, 7], [0, 4, 0, 0, 2, 1, 0, 1, 7], [0, 4, 0, 0, 3, 0, 0, 0, 8], [0, 4, 0, 1, 0, 0, 0, 7, 3], [0, 4, 0, 1, 0, 0, 1, 5, 4], [0, 4, 0, 1, 0, 0, 2, 3, 5], [0, 4, 0, 1, 0, 0, 3, 1, 6], [0, 4, 0, 1, 0, 1, 0, 4, 5], [0, 4, 0, 1, 0, 1, 1, 2, 6], [0, 4, 0, 1, 0, 1, 2, 0, 7], [0, 4, 0, 1, 0, 2, 0, 1, 7], [0, 4, 0, 1, 1, 0, 0, 3, 6], [0, 4, 0, 1, 1, 0, 1, 1, 7], [0, 4, 0, 1, 1, 1, 0, 0, 8], [0, 4, 0, 2, 0, 0, 0, 2, 7], [0, 4, 0, 2, 0, 0, 1, 0, 8], [0, 4, 1, 0, 0, 0, 0, 6, 4], [0, 4, 1, 0, 0, 0, 1, 4, 5], [0, 4, 1, 0, 0, 0, 2, 2, 6], [0, 4, 1, 0, 0, 0, 3, 0, 7], [0, 4, 1, 0, 0, 1, 0, 3, 6], [0, 4, 1, 0, 0, 1, 1, 1, 7], [0, 4, 1, 0, 0, 2, 0, 0, 8], [0, 4, 1, 0, 1, 0, 0, 2, 7], [0, 4, 1, 0, 1, 0, 1, 0, 8], [0, 4, 1, 1, 0, 0, 0, 1, 8], [0, 4, 2, 0, 0, 0, 0, 0, 9], [0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 1, 3, 6], [0, 5, 0, 0, 0, 0, 2, 1, 7], [0, 5, 0, 0, 0, 1, 0, 2, 7], [0, 5, 0, 0, 0, 1, 1, 0, 8], [0, 5, 0, 0, 1, 0, 0, 1, 8], [0, 5, 0, 1, 0, 0, 0, 0, 9]} (9, 15, 1) has 7997 possible DDs: {[0, 0, 0, 0, 0, 0, 15, 0, 0, 0], [0, 0, 0, 0, 0, 1, 13, 1, 0, 0], [0, 0, 0, 0, 0, 2, 11, 2, 0, 0], [0, 0, 0, 0, 0, 2, 12, 0, 1, 0], [0, 0, 0, 0, 0, 3, 9, 3, 0, 0], [0, 0, 0, 0, 0, 3, 10, 1, 1, 0], [0, 0, 0, 0, 0, 3, 11, 0, 0, 1], [0, 0, 0, 0, 0, 4, 7, 4, 0, 0], [0, 0, 0, 0, 0, 4, 8, 2, 1, 0], [0, 0, 0, 0, 0, 4, 9, 0, 2, 0], [0, 0, 0, 0, 0, 4, 9, 1, 0, 1], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 6, 3, 1, 0], [0, 0, 0, 0, 0, 5, 7, 1, 2, 0], [0, 0, 0, 0, 0, 5, 7, 2, 0, 1], [0, 0, 0, 0, 0, 5, 8, 0, 1, 1], [0, 0, 0, 0, 0, 6, 3, 6, 0, 0], [0, 0, 0, 0, 0, 6, 4, 4, 1, 0], [0, 0, 0, 0, 0, 6, 5, 2, 2, 0], [0, 0, 0, 0, 0, 6, 5, 3, 0, 1], [0, 0, 0, 0, 0, 6, 6, 0, 3, 0], [0, 0, 0, 0, 0, 6, 6, 1, 1, 1], [0, 0, 0, 0, 0, 6, 7, 0, 0, 2], [0, 0, 0, 0, 0, 7, 1, 7, 0, 0], [0, 0, 0, 0, 0, 7, 2, 5, 1, 0], [0, 0, 0, 0, 0, 7, 3, 3, 2, 0], [0, 0, 0, 0, 0, 7, 3, 4, 0, 1], [0, 0, 0, 0, 0, 7, 4, 1, 3, 0], [0, 0, 0, 0, 0, 7, 4, 2, 1, 1], [0, 0, 0, 0, 0, 7, 5, 0, 2, 1], [0, 0, 0, 0, 0, 7, 5, 1, 0, 2], [0, 0, 0, 0, 0, 8, 0, 6, 1, 0], [0, 0, 0, 0, 0, 8, 1, 4, 2, 0], [0, 0, 0, 0, 0, 8, 1, 5, 0, 1], [0, 0, 0, 0, 0, 8, 2, 2, 3, 0], [0, 0, 0, 0, 0, 8, 2, 3, 1, 1], [0, 0, 0, 0, 0, 8, 3, 0, 4, 0], [0, 0, 0, 0, 0, 8, 3, 1, 2, 1], [0, 0, 0, 0, 0, 8, 3, 2, 0, 2], [0, 0, 0, 0, 0, 8, 4, 0, 1, 2], [0, 0, 0, 0, 0, 9, 0, 3, 3, 0], [0, 0, 0, 0, 0, 9, 0, 4, 1, 1], [0, 0, 0, 0, 0, 9, 1, 1, 4, 0], [0, 0, 0, 0, 0, 9, 1, 2, 2, 1], [0, 0, 0, 0, 0, 9, 1, 3, 0, 2], [0, 0, 0, 0, 0, 9, 2, 0, 3, 1], [0, 0, 0, 0, 0, 9, 2, 1, 1, 2], [0, 0, 0, 0, 0, 9, 3, 0, 0, 3], [0, 0, 0, 0, 0, 10, 0, 0, 5, 0], [0, 0, 0, 0, 0, 10, 0, 1, 3, 1], [0, 0, 0, 0, 0, 10, 0, 2, 1, 2], [0, 0, 0, 0, 0, 10, 1, 0, 2, 2], [0, 0, 0, 0, 0, 10, 1, 1, 0, 3], [0, 0, 0, 0, 0, 11, 0, 0, 1, 3], [0, 0, 0, 0, 1, 0, 12, 2, 0, 0], [0, 0, 0, 0, 1, 0, 13, 0, 1, 0], [0, 0, 0, 0, 1, 1, 10, 3, 0, 0], [0, 0, 0, 0, 1, 1, 11, 1, 1, 0], [0, 0, 0, 0, 1, 1, 12, 0, 0, 1], [0, 0, 0, 0, 1, 2, 8, 4, 0, 0], [0, 0, 0, 0, 1, 2, 9, 2, 1, 0], [0, 0, 0, 0, 1, 2, 10, 0, 2, 0], [0, 0, 0, 0, 1, 2, 10, 1, 0, 1], [0, 0, 0, 0, 1, 3, 6, 5, 0, 0], [0, 0, 0, 0, 1, 3, 7, 3, 1, 0], [0, 0, 0, 0, 1, 3, 8, 1, 2, 0], [0, 0, 0, 0, 1, 3, 8, 2, 0, 1], [0, 0, 0, 0, 1, 3, 9, 0, 1, 1], [0, 0, 0, 0, 1, 4, 4, 6, 0, 0], [0, 0, 0, 0, 1, 4, 5, 4, 1, 0], [0, 0, 0, 0, 1, 4, 6, 2, 2, 0], [0, 0, 0, 0, 1, 4, 6, 3, 0, 1], [0, 0, 0, 0, 1, 4, 7, 0, 3, 0], [0, 0, 0, 0, 1, 4, 7, 1, 1, 1], [0, 0, 0, 0, 1, 4, 8, 0, 0, 2], [0, 0, 0, 0, 1, 5, 2, 7, 0, 0], [0, 0, 0, 0, 1, 5, 3, 5, 1, 0], [0, 0, 0, 0, 1, 5, 4, 3, 2, 0], [0, 0, 0, 0, 1, 5, 4, 4, 0, 1], [0, 0, 0, 0, 1, 5, 5, 1, 3, 0], [0, 0, 0, 0, 1, 5, 5, 2, 1, 1], [0, 0, 0, 0, 1, 5, 6, 0, 2, 1], [0, 0, 0, 0, 1, 5, 6, 1, 0, 2], [0, 0, 0, 0, 1, 6, 0, 8, 0, 0], [0, 0, 0, 0, 1, 6, 1, 6, 1, 0], [0, 0, 0, 0, 1, 6, 2, 4, 2, 0], [0, 0, 0, 0, 1, 6, 2, 5, 0, 1], [0, 0, 0, 0, 1, 6, 3, 2, 3, 0], [0, 0, 0, 0, 1, 6, 3, 3, 1, 1], [0, 0, 0, 0, 1, 6, 4, 0, 4, 0], [0, 0, 0, 0, 1, 6, 4, 1, 2, 1], [0, 0, 0, 0, 1, 6, 4, 2, 0, 2], [0, 0, 0, 0, 1, 6, 5, 0, 1, 2], [0, 0, 0, 0, 1, 7, 0, 5, 2, 0], [0, 0, 0, 0, 1, 7, 0, 6, 0, 1], [0, 0, 0, 0, 1, 7, 1, 3, 3, 0], [0, 0, 0, 0, 1, 7, 1, 4, 1, 1], [0, 0, 0, 0, 1, 7, 2, 1, 4, 0], [0, 0, 0, 0, 1, 7, 2, 2, 2, 1], [0, 0, 0, 0, 1, 7, 2, 3, 0, 2], [0, 0, 0, 0, 1, 7, 3, 0, 3, 1], [0, 0, 0, 0, 1, 7, 3, 1, 1, 2], [0, 0, 0, 0, 1, 7, 4, 0, 0, 3], [0, 0, 0, 0, 1, 8, 0, 2, 4, 0], [0, 0, 0, 0, 1, 8, 0, 3, 2, 1], [0, 0, 0, 0, 1, 8, 0, 4, 0, 2], [0, 0, 0, 0, 1, 8, 1, 0, 5, 0], [0, 0, 0, 0, 1, 8, 1, 1, 3, 1], [0, 0, 0, 0, 1, 8, 1, 2, 1, 2], [0, 0, 0, 0, 1, 8, 2, 0, 2, 2], [0, 0, 0, 0, 1, 8, 2, 1, 0, 3], [0, 0, 0, 0, 1, 9, 0, 0, 4, 1], [0, 0, 0, 0, 1, 9, 0, 1, 2, 2], [0, 0, 0, 0, 1, 9, 0, 2, 0, 3], [0, 0, 0, 0, 1, 9, 1, 0, 1, 3], [0, 0, 0, 0, 1, 10, 0, 0, 0, 4], [0, 0, 0, 0, 2, 0, 9, 4, 0, 0], [0, 0, 0, 0, 2, 0, 10, 2, 1, 0], [0, 0, 0, 0, 2, 0, 11, 0, 2, 0], [0, 0, 0, 0, 2, 0, 11, 1, 0, 1], [0, 0, 0, 0, 2, 1, 7, 5, 0, 0], [0, 0, 0, 0, 2, 1, 8, 3, 1, 0], [0, 0, 0, 0, 2, 1, 9, 1, 2, 0], [0, 0, 0, 0, 2, 1, 9, 2, 0, 1], [0, 0, 0, 0, 2, 1, 10, 0, 1, 1], [0, 0, 0, 0, 2, 2, 5, 6, 0, 0], [0, 0, 0, 0, 2, 2, 6, 4, 1, 0], [0, 0, 0, 0, 2, 2, 7, 2, 2, 0], [0, 0, 0, 0, 2, 2, 7, 3, 0, 1], [0, 0, 0, 0, 2, 2, 8, 0, 3, 0], [0, 0, 0, 0, 2, 2, 8, 1, 1, 1], [0, 0, 0, 0, 2, 2, 9, 0, 0, 2], [0, 0, 0, 0, 2, 3, 3, 7, 0, 0], [0, 0, 0, 0, 2, 3, 4, 5, 1, 0], [0, 0, 0, 0, 2, 3, 5, 3, 2, 0], [0, 0, 0, 0, 2, 3, 5, 4, 0, 1], [0, 0, 0, 0, 2, 3, 6, 1, 3, 0], [0, 0, 0, 0, 2, 3, 6, 2, 1, 1], [0, 0, 0, 0, 2, 3, 7, 0, 2, 1], [0, 0, 0, 0, 2, 3, 7, 1, 0, 2], [0, 0, 0, 0, 2, 4, 1, 8, 0, 0], [0, 0, 0, 0, 2, 4, 2, 6, 1, 0], [0, 0, 0, 0, 2, 4, 3, 4, 2, 0], [0, 0, 0, 0, 2, 4, 3, 5, 0, 1], [0, 0, 0, 0, 2, 4, 4, 2, 3, 0], [0, 0, 0, 0, 2, 4, 4, 3, 1, 1], [0, 0, 0, 0, 2, 4, 5, 0, 4, 0], [0, 0, 0, 0, 2, 4, 5, 1, 2, 1], [0, 0, 0, 0, 2, 4, 5, 2, 0, 2], [0, 0, 0, 0, 2, 4, 6, 0, 1, 2], [0, 0, 0, 0, 2, 5, 0, 7, 1, 0], [0, 0, 0, 0, 2, 5, 1, 5, 2, 0], [0, 0, 0, 0, 2, 5, 1, 6, 0, 1], [0, 0, 0, 0, 2, 5, 2, 3, 3, 0], [0, 0, 0, 0, 2, 5, 2, 4, 1, 1], [0, 0, 0, 0, 2, 5, 3, 1, 4, 0], [0, 0, 0, 0, 2, 5, 3, 2, 2, 1], [0, 0, 0, 0, 2, 5, 3, 3, 0, 2], [0, 0, 0, 0, 2, 5, 4, 0, 3, 1], [0, 0, 0, 0, 2, 5, 4, 1, 1, 2], [0, 0, 0, 0, 2, 5, 5, 0, 0, 3], [0, 0, 0, 0, 2, 6, 0, 4, 3, 0], [0, 0, 0, 0, 2, 6, 0, 5, 1, 1], [0, 0, 0, 0, 2, 6, 1, 2, 4, 0], [0, 0, 0, 0, 2, 6, 1, 3, 2, 1], [0, 0, 0, 0, 2, 6, 1, 4, 0, 2], [0, 0, 0, 0, 2, 6, 2, 0, 5, 0], [0, 0, 0, 0, 2, 6, 2, 1, 3, 1], [0, 0, 0, 0, 2, 6, 2, 2, 1, 2], [0, 0, 0, 0, 2, 6, 3, 0, 2, 2], [0, 0, 0, 0, 2, 6, 3, 1, 0, 3], [0, 0, 0, 0, 2, 7, 0, 1, 5, 0], [0, 0, 0, 0, 2, 7, 0, 2, 3, 1], [0, 0, 0, 0, 2, 7, 0, 3, 1, 2], [0, 0, 0, 0, 2, 7, 1, 0, 4, 1], [0, 0, 0, 0, 2, 7, 1, 1, 2, 2], [0, 0, 0, 0, 2, 7, 1, 2, 0, 3], [0, 0, 0, 0, 2, 7, 2, 0, 1, 3], [0, 0, 0, 0, 2, 8, 0, 0, 3, 2], [0, 0, 0, 0, 2, 8, 0, 1, 1, 3], [0, 0, 0, 0, 2, 8, 1, 0, 0, 4], [0, 0, 0, 0, 3, 0, 6, 6, 0, 0], [0, 0, 0, 0, 3, 0, 7, 4, 1, 0], [0, 0, 0, 0, 3, 0, 8, 2, 2, 0], [0, 0, 0, 0, 3, 0, 8, 3, 0, 1], [0, 0, 0, 0, 3, 0, 9, 0, 3, 0], [0, 0, 0, 0, 3, 0, 9, 1, 1, 1], [0, 0, 0, 0, 3, 0, 10, 0, 0, 2], [0, 0, 0, 0, 3, 1, 4, 7, 0, 0], [0, 0, 0, 0, 3, 1, 5, 5, 1, 0], [0, 0, 0, 0, 3, 1, 6, 3, 2, 0], [0, 0, 0, 0, 3, 1, 6, 4, 0, 1], [0, 0, 0, 0, 3, 1, 7, 1, 3, 0], [0, 0, 0, 0, 3, 1, 7, 2, 1, 1], [0, 0, 0, 0, 3, 1, 8, 0, 2, 1], [0, 0, 0, 0, 3, 1, 8, 1, 0, 2], [0, 0, 0, 0, 3, 2, 2, 8, 0, 0], [0, 0, 0, 0, 3, 2, 3, 6, 1, 0], [0, 0, 0, 0, 3, 2, 4, 4, 2, 0], [0, 0, 0, 0, 3, 2, 4, 5, 0, 1], [0, 0, 0, 0, 3, 2, 5, 2, 3, 0], [0, 0, 0, 0, 3, 2, 5, 3, 1, 1], [0, 0, 0, 0, 3, 2, 6, 0, 4, 0], [0, 0, 0, 0, 3, 2, 6, 1, 2, 1], [0, 0, 0, 0, 3, 2, 6, 2, 0, 2], [0, 0, 0, 0, 3, 2, 7, 0, 1, 2], [0, 0, 0, 0, 3, 3, 0, 9, 0, 0], [0, 0, 0, 0, 3, 3, 1, 7, 1, 0], [0, 0, 0, 0, 3, 3, 2, 5, 2, 0], [0, 0, 0, 0, 3, 3, 2, 6, 0, 1], [0, 0, 0, 0, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 3, 3, 3, 4, 1, 1], [0, 0, 0, 0, 3, 3, 4, 1, 4, 0], [0, 0, 0, 0, 3, 3, 4, 2, 2, 1], [0, 0, 0, 0, 3, 3, 4, 3, 0, 2], [0, 0, 0, 0, 3, 3, 5, 0, 3, 1], [0, 0, 0, 0, 3, 3, 5, 1, 1, 2], [0, 0, 0, 0, 3, 3, 6, 0, 0, 3], [0, 0, 0, 0, 3, 4, 0, 6, 2, 0], [0, 0, 0, 0, 3, 4, 0, 7, 0, 1], [0, 0, 0, 0, 3, 4, 1, 4, 3, 0], [0, 0, 0, 0, 3, 4, 1, 5, 1, 1], [0, 0, 0, 0, 3, 4, 2, 2, 4, 0], [0, 0, 0, 0, 3, 4, 2, 3, 2, 1], [0, 0, 0, 0, 3, 4, 2, 4, 0, 2], [0, 0, 0, 0, 3, 4, 3, 0, 5, 0], [0, 0, 0, 0, 3, 4, 3, 1, 3, 1], [0, 0, 0, 0, 3, 4, 3, 2, 1, 2], [0, 0, 0, 0, 3, 4, 4, 0, 2, 2], [0, 0, 0, 0, 3, 4, 4, 1, 0, 3], [0, 0, 0, 0, 3, 5, 0, 3, 4, 0], [0, 0, 0, 0, 3, 5, 0, 4, 2, 1], [0, 0, 0, 0, 3, 5, 0, 5, 0, 2], [0, 0, 0, 0, 3, 5, 1, 1, 5, 0], [0, 0, 0, 0, 3, 5, 1, 2, 3, 1], [0, 0, 0, 0, 3, 5, 1, 3, 1, 2], [0, 0, 0, 0, 3, 5, 2, 0, 4, 1], [0, 0, 0, 0, 3, 5, 2, 1, 2, 2], [0, 0, 0, 0, 3, 5, 2, 2, 0, 3], [0, 0, 0, 0, 3, 5, 3, 0, 1, 3], [0, 0, 0, 0, 3, 6, 0, 0, 6, 0], [0, 0, 0, 0, 3, 6, 0, 1, 4, 1], [0, 0, 0, 0, 3, 6, 0, 2, 2, 2], [0, 0, 0, 0, 3, 6, 0, 3, 0, 3], [0, 0, 0, 0, 3, 6, 1, 0, 3, 2], [0, 0, 0, 0, 3, 6, 1, 1, 1, 3], [0, 0, 0, 0, 3, 6, 2, 0, 0, 4], [0, 0, 0, 0, 3, 7, 0, 0, 2, 3], [0, 0, 0, 0, 3, 7, 0, 1, 0, 4], [0, 0, 0, 0, 4, 0, 3, 8, 0, 0], [0, 0, 0, 0, 4, 0, 4, 6, 1, 0], [0, 0, 0, 0, 4, 0, 5, 4, 2, 0], [0, 0, 0, 0, 4, 0, 5, 5, 0, 1], [0, 0, 0, 0, 4, 0, 6, 2, 3, 0], [0, 0, 0, 0, 4, 0, 6, 3, 1, 1], [0, 0, 0, 0, 4, 0, 7, 0, 4, 0], [0, 0, 0, 0, 4, 0, 7, 1, 2, 1], [0, 0, 0, 0, 4, 0, 7, 2, 0, 2], [0, 0, 0, 0, 4, 0, 8, 0, 1, 2], [0, 0, 0, 0, 4, 1, 1, 9, 0, 0], [0, 0, 0, 0, 4, 1, 2, 7, 1, 0], [0, 0, 0, 0, 4, 1, 3, 5, 2, 0], [0, 0, 0, 0, 4, 1, 3, 6, 0, 1], [0, 0, 0, 0, 4, 1, 4, 3, 3, 0], [0, 0, 0, 0, 4, 1, 4, 4, 1, 1], [0, 0, 0, 0, 4, 1, 5, 1, 4, 0], [0, 0, 0, 0, 4, 1, 5, 2, 2, 1], [0, 0, 0, 0, 4, 1, 5, 3, 0, 2], [0, 0, 0, 0, 4, 1, 6, 0, 3, 1], [0, 0, 0, 0, 4, 1, 6, 1, 1, 2], [0, 0, 0, 0, 4, 1, 7, 0, 0, 3], [0, 0, 0, 0, 4, 2, 0, 8, 1, 0], [0, 0, 0, 0, 4, 2, 1, 6, 2, 0], [0, 0, 0, 0, 4, 2, 1, 7, 0, 1], [0, 0, 0, 0, 4, 2, 2, 4, 3, 0], [0, 0, 0, 0, 4, 2, 2, 5, 1, 1], [0, 0, 0, 0, 4, 2, 3, 2, 4, 0], [0, 0, 0, 0, 4, 2, 3, 3, 2, 1], [0, 0, 0, 0, 4, 2, 3, 4, 0, 2], [0, 0, 0, 0, 4, 2, 4, 0, 5, 0], [0, 0, 0, 0, 4, 2, 4, 1, 3, 1], [0, 0, 0, 0, 4, 2, 4, 2, 1, 2], [0, 0, 0, 0, 4, 2, 5, 0, 2, 2], [0, 0, 0, 0, 4, 2, 5, 1, 0, 3], [0, 0, 0, 0, 4, 3, 0, 5, 3, 0], [0, 0, 0, 0, 4, 3, 0, 6, 1, 1], [0, 0, 0, 0, 4, 3, 1, 3, 4, 0], [0, 0, 0, 0, 4, 3, 1, 4, 2, 1], [0, 0, 0, 0, 4, 3, 1, 5, 0, 2], [0, 0, 0, 0, 4, 3, 2, 1, 5, 0], [0, 0, 0, 0, 4, 3, 2, 2, 3, 1], [0, 0, 0, 0, 4, 3, 2, 3, 1, 2], [0, 0, 0, 0, 4, 3, 3, 0, 4, 1], [0, 0, 0, 0, 4, 3, 3, 1, 2, 2], [0, 0, 0, 0, 4, 3, 3, 2, 0, 3], [0, 0, 0, 0, 4, 3, 4, 0, 1, 3], [0, 0, 0, 0, 4, 4, 0, 2, 5, 0], [0, 0, 0, 0, 4, 4, 0, 3, 3, 1], [0, 0, 0, 0, 4, 4, 0, 4, 1, 2], [0, 0, 0, 0, 4, 4, 1, 0, 6, 0], [0, 0, 0, 0, 4, 4, 1, 1, 4, 1], [0, 0, 0, 0, 4, 4, 1, 2, 2, 2], [0, 0, 0, 0, 4, 4, 1, 3, 0, 3], [0, 0, 0, 0, 4, 4, 2, 0, 3, 2], [0, 0, 0, 0, 4, 4, 2, 1, 1, 3], [0, 0, 0, 0, 4, 4, 3, 0, 0, 4], [0, 0, 0, 0, 4, 5, 0, 0, 5, 1], [0, 0, 0, 0, 4, 5, 0, 1, 3, 2], [0, 0, 0, 0, 4, 5, 0, 2, 1, 3], [0, 0, 0, 0, 4, 5, 1, 0, 2, 3], [0, 0, 0, 0, 4, 5, 1, 1, 0, 4], [0, 0, 0, 0, 4, 6, 0, 0, 1, 4], [0, 0, 0, 0, 5, 0, 0, 10, 0, 0], [0, 0, 0, 0, 5, 0, 1, 8, 1, 0], [0, 0, 0, 0, 5, 0, 2, 6, 2, 0], [0, 0, 0, 0, 5, 0, 2, 7, 0, 1], [0, 0, 0, 0, 5, 0, 3, 4, 3, 0], [0, 0, 0, 0, 5, 0, 3, 5, 1, 1], [0, 0, 0, 0, 5, 0, 4, 2, 4, 0], [0, 0, 0, 0, 5, 0, 4, 3, 2, 1], [0, 0, 0, 0, 5, 0, 4, 4, 0, 2], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0], [0, 0, 0, 0, 5, 0, 5, 1, 3, 1], [0, 0, 0, 0, 5, 0, 5, 2, 1, 2], [0, 0, 0, 0, 5, 0, 6, 0, 2, 2], [0, 0, 0, 0, 5, 0, 6, 1, 0, 3], [0, 0, 0, 0, 5, 1, 0, 7, 2, 0], [0, 0, 0, 0, 5, 1, 0, 8, 0, 1], [0, 0, 0, 0, 5, 1, 1, 5, 3, 0], [0, 0, 0, 0, 5, 1, 1, 6, 1, 1], [0, 0, 0, 0, 5, 1, 2, 3, 4, 0], [0, 0, 0, 0, 5, 1, 2, 4, 2, 1], [0, 0, 0, 0, 5, 1, 2, 5, 0, 2], [0, 0, 0, 0, 5, 1, 3, 1, 5, 0], [0, 0, 0, 0, 5, 1, 3, 2, 3, 1], [0, 0, 0, 0, 5, 1, 3, 3, 1, 2], [0, 0, 0, 0, 5, 1, 4, 0, 4, 1], [0, 0, 0, 0, 5, 1, 4, 1, 2, 2], [0, 0, 0, 0, 5, 1, 4, 2, 0, 3], [0, 0, 0, 0, 5, 1, 5, 0, 1, 3], [0, 0, 0, 0, 5, 2, 0, 4, 4, 0], [0, 0, 0, 0, 5, 2, 0, 5, 2, 1], [0, 0, 0, 0, 5, 2, 0, 6, 0, 2], [0, 0, 0, 0, 5, 2, 1, 2, 5, 0], [0, 0, 0, 0, 5, 2, 1, 3, 3, 1], [0, 0, 0, 0, 5, 2, 1, 4, 1, 2], [0, 0, 0, 0, 5, 2, 2, 0, 6, 0], [0, 0, 0, 0, 5, 2, 2, 1, 4, 1], [0, 0, 0, 0, 5, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 2, 2, 3, 0, 3], [0, 0, 0, 0, 5, 2, 3, 0, 3, 2], [0, 0, 0, 0, 5, 2, 3, 1, 1, 3], [0, 0, 0, 0, 5, 2, 4, 0, 0, 4], [0, 0, 0, 0, 5, 3, 0, 1, 6, 0], [0, 0, 0, 0, 5, 3, 0, 2, 4, 1], [0, 0, 0, 0, 5, 3, 0, 3, 2, 2], [0, 0, 0, 0, 5, 3, 0, 4, 0, 3], [0, 0, 0, 0, 5, 3, 1, 0, 5, 1], [0, 0, 0, 0, 5, 3, 1, 1, 3, 2], [0, 0, 0, 0, 5, 3, 1, 2, 1, 3], [0, 0, 0, 0, 5, 3, 2, 0, 2, 3], [0, 0, 0, 0, 5, 3, 2, 1, 0, 4], [0, 0, 0, 0, 5, 4, 0, 0, 4, 2], [0, 0, 0, 0, 5, 4, 0, 1, 2, 3], [0, 0, 0, 0, 5, 4, 0, 2, 0, 4], [0, 0, 0, 0, 5, 4, 1, 0, 1, 4], [0, 0, 0, 0, 5, 5, 0, 0, 0, 5], [0, 0, 0, 0, 6, 0, 0, 6, 3, 0], [0, 0, 0, 0, 6, 0, 0, 7, 1, 1], [0, 0, 0, 0, 6, 0, 1, 4, 4, 0], [0, 0, 0, 0, 6, 0, 1, 5, 2, 1], [0, 0, 0, 0, 6, 0, 1, 6, 0, 2], [0, 0, 0, 0, 6, 0, 2, 2, 5, 0], [0, 0, 0, 0, 6, 0, 2, 3, 3, 1], [0, 0, 0, 0, 6, 0, 2, 4, 1, 2], [0, 0, 0, 0, 6, 0, 3, 0, 6, 0], [0, 0, 0, 0, 6, 0, 3, 1, 4, 1], [0, 0, 0, 0, 6, 0, 3, 2, 2, 2], [0, 0, 0, 0, 6, 0, 3, 3, 0, 3], [0, 0, 0, 0, 6, 0, 4, 0, 3, 2], [0, 0, 0, 0, 6, 0, 4, 1, 1, 3], [0, 0, 0, 0, 6, 0, 5, 0, 0, 4], [0, 0, 0, 0, 6, 1, 0, 3, 5, 0], [0, 0, 0, 0, 6, 1, 0, 4, 3, 1], [0, 0, 0, 0, 6, 1, 0, 5, 1, 2], [0, 0, 0, 0, 6, 1, 1, 1, 6, 0], [0, 0, 0, 0, 6, 1, 1, 2, 4, 1], [0, 0, 0, 0, 6, 1, 1, 3, 2, 2], [0, 0, 0, 0, 6, 1, 1, 4, 0, 3], [0, 0, 0, 0, 6, 1, 2, 0, 5, 1], [0, 0, 0, 0, 6, 1, 2, 1, 3, 2], [0, 0, 0, 0, 6, 1, 2, 2, 1, 3], [0, 0, 0, 0, 6, 1, 3, 0, 2, 3], [0, 0, 0, 0, 6, 1, 3, 1, 0, 4], [0, 0, 0, 0, 6, 2, 0, 0, 7, 0], [0, 0, 0, 0, 6, 2, 0, 1, 5, 1], [0, 0, 0, 0, 6, 2, 0, 2, 3, 2], [0, 0, 0, 0, 6, 2, 0, 3, 1, 3], [0, 0, 0, 0, 6, 2, 1, 0, 4, 2], [0, 0, 0, 0, 6, 2, 1, 1, 2, 3], [0, 0, 0, 0, 6, 2, 1, 2, 0, 4], [0, 0, 0, 0, 6, 2, 2, 0, 1, 4], [0, 0, 0, 0, 6, 3, 0, 0, 3, 3], [0, 0, 0, 0, 6, 3, 0, 1, 1, 4], [0, 0, 0, 0, 6, 3, 1, 0, 0, 5], [0, 0, 0, 0, 7, 0, 0, 2, 6, 0], [0, 0, 0, 0, 7, 0, 0, 3, 4, 1], [0, 0, 0, 0, 7, 0, 0, 4, 2, 2], [0, 0, 0, 0, 7, 0, 0, 5, 0, 3], [0, 0, 0, 0, 7, 0, 1, 0, 7, 0], [0, 0, 0, 0, 7, 0, 1, 1, 5, 1], [0, 0, 0, 0, 7, 0, 1, 2, 3, 2], [0, 0, 0, 0, 7, 0, 1, 3, 1, 3], [0, 0, 0, 0, 7, 0, 2, 0, 4, 2], [0, 0, 0, 0, 7, 0, 2, 1, 2, 3], [0, 0, 0, 0, 7, 0, 2, 2, 0, 4], [0, 0, 0, 0, 7, 0, 3, 0, 1, 4], [0, 0, 0, 0, 7, 1, 0, 0, 6, 1], [0, 0, 0, 0, 7, 1, 0, 1, 4, 2], [0, 0, 0, 0, 7, 1, 0, 2, 2, 3], [0, 0, 0, 0, 7, 1, 0, 3, 0, 4], [0, 0, 0, 0, 7, 1, 1, 0, 3, 3], [0, 0, 0, 0, 7, 1, 1, 1, 1, 4], [0, 0, 0, 0, 7, 1, 2, 0, 0, 5], [0, 0, 0, 0, 7, 2, 0, 0, 2, 4], [0, 0, 0, 0, 7, 2, 0, 1, 0, 5], [0, 0, 0, 0, 8, 0, 0, 0, 5, 2], [0, 0, 0, 0, 8, 0, 0, 1, 3, 3], [0, 0, 0, 0, 8, 0, 0, 2, 1, 4], [0, 0, 0, 0, 8, 0, 1, 0, 2, 4], [0, 0, 0, 0, 8, 0, 1, 1, 0, 5], [0, 0, 0, 0, 8, 1, 0, 0, 1, 5], [0, 0, 0, 0, 9, 0, 0, 0, 0, 6], [0, 0, 0, 1, 0, 0, 11, 3, 0, 0], [0, 0, 0, 1, 0, 0, 12, 1, 1, 0], [0, 0, 0, 1, 0, 0, 13, 0, 0, 1], [0, 0, 0, 1, 0, 1, 9, 4, 0, 0], [0, 0, 0, 1, 0, 1, 10, 2, 1, 0], [0, 0, 0, 1, 0, 1, 11, 0, 2, 0], [0, 0, 0, 1, 0, 1, 11, 1, 0, 1], [0, 0, 0, 1, 0, 2, 7, 5, 0, 0], [0, 0, 0, 1, 0, 2, 8, 3, 1, 0], [0, 0, 0, 1, 0, 2, 9, 1, 2, 0], [0, 0, 0, 1, 0, 2, 9, 2, 0, 1], [0, 0, 0, 1, 0, 2, 10, 0, 1, 1], [0, 0, 0, 1, 0, 3, 5, 6, 0, 0], [0, 0, 0, 1, 0, 3, 6, 4, 1, 0], [0, 0, 0, 1, 0, 3, 7, 2, 2, 0], [0, 0, 0, 1, 0, 3, 7, 3, 0, 1], [0, 0, 0, 1, 0, 3, 8, 0, 3, 0], [0, 0, 0, 1, 0, 3, 8, 1, 1, 1], [0, 0, 0, 1, 0, 3, 9, 0, 0, 2], [0, 0, 0, 1, 0, 4, 3, 7, 0, 0], [0, 0, 0, 1, 0, 4, 4, 5, 1, 0], [0, 0, 0, 1, 0, 4, 5, 3, 2, 0], [0, 0, 0, 1, 0, 4, 5, 4, 0, 1], [0, 0, 0, 1, 0, 4, 6, 1, 3, 0], [0, 0, 0, 1, 0, 4, 6, 2, 1, 1], [0, 0, 0, 1, 0, 4, 7, 0, 2, 1], [0, 0, 0, 1, 0, 4, 7, 1, 0, 2], [0, 0, 0, 1, 0, 5, 1, 8, 0, 0], [0, 0, 0, 1, 0, 5, 2, 6, 1, 0], [0, 0, 0, 1, 0, 5, 3, 4, 2, 0], [0, 0, 0, 1, 0, 5, 3, 5, 0, 1], [0, 0, 0, 1, 0, 5, 4, 2, 3, 0], [0, 0, 0, 1, 0, 5, 4, 3, 1, 1], [0, 0, 0, 1, 0, 5, 5, 0, 4, 0], [0, 0, 0, 1, 0, 5, 5, 1, 2, 1], [0, 0, 0, 1, 0, 5, 5, 2, 0, 2], [0, 0, 0, 1, 0, 5, 6, 0, 1, 2], [0, 0, 0, 1, 0, 6, 0, 7, 1, 0], [0, 0, 0, 1, 0, 6, 1, 5, 2, 0], [0, 0, 0, 1, 0, 6, 1, 6, 0, 1], [0, 0, 0, 1, 0, 6, 2, 3, 3, 0], [0, 0, 0, 1, 0, 6, 2, 4, 1, 1], [0, 0, 0, 1, 0, 6, 3, 1, 4, 0], [0, 0, 0, 1, 0, 6, 3, 2, 2, 1], [0, 0, 0, 1, 0, 6, 3, 3, 0, 2], [0, 0, 0, 1, 0, 6, 4, 0, 3, 1], [0, 0, 0, 1, 0, 6, 4, 1, 1, 2], [0, 0, 0, 1, 0, 6, 5, 0, 0, 3], [0, 0, 0, 1, 0, 7, 0, 4, 3, 0], [0, 0, 0, 1, 0, 7, 0, 5, 1, 1], [0, 0, 0, 1, 0, 7, 1, 2, 4, 0], [0, 0, 0, 1, 0, 7, 1, 3, 2, 1], [0, 0, 0, 1, 0, 7, 1, 4, 0, 2], [0, 0, 0, 1, 0, 7, 2, 0, 5, 0], [0, 0, 0, 1, 0, 7, 2, 1, 3, 1], [0, 0, 0, 1, 0, 7, 2, 2, 1, 2], [0, 0, 0, 1, 0, 7, 3, 0, 2, 2], [0, 0, 0, 1, 0, 7, 3, 1, 0, 3], [0, 0, 0, 1, 0, 8, 0, 1, 5, 0], [0, 0, 0, 1, 0, 8, 0, 2, 3, 1], [0, 0, 0, 1, 0, 8, 0, 3, 1, 2], [0, 0, 0, 1, 0, 8, 1, 0, 4, 1], [0, 0, 0, 1, 0, 8, 1, 1, 2, 2], [0, 0, 0, 1, 0, 8, 1, 2, 0, 3], [0, 0, 0, 1, 0, 8, 2, 0, 1, 3], [0, 0, 0, 1, 0, 9, 0, 0, 3, 2], [0, 0, 0, 1, 0, 9, 0, 1, 1, 3], [0, 0, 0, 1, 0, 9, 1, 0, 0, 4], [0, 0, 0, 1, 1, 0, 8, 5, 0, 0], [0, 0, 0, 1, 1, 0, 9, 3, 1, 0], [0, 0, 0, 1, 1, 0, 10, 1, 2, 0], [0, 0, 0, 1, 1, 0, 10, 2, 0, 1], [0, 0, 0, 1, 1, 0, 11, 0, 1, 1], [0, 0, 0, 1, 1, 1, 6, 6, 0, 0], [0, 0, 0, 1, 1, 1, 7, 4, 1, 0], [0, 0, 0, 1, 1, 1, 8, 2, 2, 0], [0, 0, 0, 1, 1, 1, 8, 3, 0, 1], [0, 0, 0, 1, 1, 1, 9, 0, 3, 0], [0, 0, 0, 1, 1, 1, 9, 1, 1, 1], [0, 0, 0, 1, 1, 1, 10, 0, 0, 2], [0, 0, 0, 1, 1, 2, 4, 7, 0, 0], [0, 0, 0, 1, 1, 2, 5, 5, 1, 0], [0, 0, 0, 1, 1, 2, 6, 3, 2, 0], [0, 0, 0, 1, 1, 2, 6, 4, 0, 1], [0, 0, 0, 1, 1, 2, 7, 1, 3, 0], [0, 0, 0, 1, 1, 2, 7, 2, 1, 1], [0, 0, 0, 1, 1, 2, 8, 0, 2, 1], [0, 0, 0, 1, 1, 2, 8, 1, 0, 2], [0, 0, 0, 1, 1, 3, 2, 8, 0, 0], [0, 0, 0, 1, 1, 3, 3, 6, 1, 0], [0, 0, 0, 1, 1, 3, 4, 4, 2, 0], [0, 0, 0, 1, 1, 3, 4, 5, 0, 1], [0, 0, 0, 1, 1, 3, 5, 2, 3, 0], [0, 0, 0, 1, 1, 3, 5, 3, 1, 1], [0, 0, 0, 1, 1, 3, 6, 0, 4, 0], [0, 0, 0, 1, 1, 3, 6, 1, 2, 1], [0, 0, 0, 1, 1, 3, 6, 2, 0, 2], [0, 0, 0, 1, 1, 3, 7, 0, 1, 2], [0, 0, 0, 1, 1, 4, 0, 9, 0, 0], [0, 0, 0, 1, 1, 4, 1, 7, 1, 0], [0, 0, 0, 1, 1, 4, 2, 5, 2, 0], [0, 0, 0, 1, 1, 4, 2, 6, 0, 1], [0, 0, 0, 1, 1, 4, 3, 3, 3, 0], [0, 0, 0, 1, 1, 4, 3, 4, 1, 1], [0, 0, 0, 1, 1, 4, 4, 1, 4, 0], [0, 0, 0, 1, 1, 4, 4, 2, 2, 1], [0, 0, 0, 1, 1, 4, 4, 3, 0, 2], [0, 0, 0, 1, 1, 4, 5, 0, 3, 1], [0, 0, 0, 1, 1, 4, 5, 1, 1, 2], [0, 0, 0, 1, 1, 4, 6, 0, 0, 3], [0, 0, 0, 1, 1, 5, 0, 6, 2, 0], [0, 0, 0, 1, 1, 5, 0, 7, 0, 1], [0, 0, 0, 1, 1, 5, 1, 4, 3, 0], [0, 0, 0, 1, 1, 5, 1, 5, 1, 1], [0, 0, 0, 1, 1, 5, 2, 2, 4, 0], [0, 0, 0, 1, 1, 5, 2, 3, 2, 1], [0, 0, 0, 1, 1, 5, 2, 4, 0, 2], [0, 0, 0, 1, 1, 5, 3, 0, 5, 0], [0, 0, 0, 1, 1, 5, 3, 1, 3, 1], [0, 0, 0, 1, 1, 5, 3, 2, 1, 2], [0, 0, 0, 1, 1, 5, 4, 0, 2, 2], [0, 0, 0, 1, 1, 5, 4, 1, 0, 3], [0, 0, 0, 1, 1, 6, 0, 3, 4, 0], [0, 0, 0, 1, 1, 6, 0, 4, 2, 1], [0, 0, 0, 1, 1, 6, 0, 5, 0, 2], [0, 0, 0, 1, 1, 6, 1, 1, 5, 0], [0, 0, 0, 1, 1, 6, 1, 2, 3, 1], [0, 0, 0, 1, 1, 6, 1, 3, 1, 2], [0, 0, 0, 1, 1, 6, 2, 0, 4, 1], [0, 0, 0, 1, 1, 6, 2, 1, 2, 2], [0, 0, 0, 1, 1, 6, 2, 2, 0, 3], [0, 0, 0, 1, 1, 6, 3, 0, 1, 3], [0, 0, 0, 1, 1, 7, 0, 0, 6, 0], [0, 0, 0, 1, 1, 7, 0, 1, 4, 1], [0, 0, 0, 1, 1, 7, 0, 2, 2, 2], [0, 0, 0, 1, 1, 7, 0, 3, 0, 3], [0, 0, 0, 1, 1, 7, 1, 0, 3, 2], [0, 0, 0, 1, 1, 7, 1, 1, 1, 3], [0, 0, 0, 1, 1, 7, 2, 0, 0, 4], [0, 0, 0, 1, 1, 8, 0, 0, 2, 3], [0, 0, 0, 1, 1, 8, 0, 1, 0, 4], [0, 0, 0, 1, 2, 0, 5, 7, 0, 0], [0, 0, 0, 1, 2, 0, 6, 5, 1, 0], [0, 0, 0, 1, 2, 0, 7, 3, 2, 0], [0, 0, 0, 1, 2, 0, 7, 4, 0, 1], [0, 0, 0, 1, 2, 0, 8, 1, 3, 0], [0, 0, 0, 1, 2, 0, 8, 2, 1, 1], [0, 0, 0, 1, 2, 0, 9, 0, 2, 1], [0, 0, 0, 1, 2, 0, 9, 1, 0, 2], [0, 0, 0, 1, 2, 1, 3, 8, 0, 0], [0, 0, 0, 1, 2, 1, 4, 6, 1, 0], [0, 0, 0, 1, 2, 1, 5, 4, 2, 0], [0, 0, 0, 1, 2, 1, 5, 5, 0, 1], [0, 0, 0, 1, 2, 1, 6, 2, 3, 0], [0, 0, 0, 1, 2, 1, 6, 3, 1, 1], [0, 0, 0, 1, 2, 1, 7, 0, 4, 0], [0, 0, 0, 1, 2, 1, 7, 1, 2, 1], [0, 0, 0, 1, 2, 1, 7, 2, 0, 2], [0, 0, 0, 1, 2, 1, 8, 0, 1, 2], [0, 0, 0, 1, 2, 2, 1, 9, 0, 0], [0, 0, 0, 1, 2, 2, 2, 7, 1, 0], [0, 0, 0, 1, 2, 2, 3, 5, 2, 0], [0, 0, 0, 1, 2, 2, 3, 6, 0, 1], [0, 0, 0, 1, 2, 2, 4, 3, 3, 0], [0, 0, 0, 1, 2, 2, 4, 4, 1, 1], [0, 0, 0, 1, 2, 2, 5, 1, 4, 0], [0, 0, 0, 1, 2, 2, 5, 2, 2, 1], [0, 0, 0, 1, 2, 2, 5, 3, 0, 2], [0, 0, 0, 1, 2, 2, 6, 0, 3, 1], [0, 0, 0, 1, 2, 2, 6, 1, 1, 2], [0, 0, 0, 1, 2, 2, 7, 0, 0, 3], [0, 0, 0, 1, 2, 3, 0, 8, 1, 0], [0, 0, 0, 1, 2, 3, 1, 6, 2, 0], [0, 0, 0, 1, 2, 3, 1, 7, 0, 1], [0, 0, 0, 1, 2, 3, 2, 4, 3, 0], [0, 0, 0, 1, 2, 3, 2, 5, 1, 1], [0, 0, 0, 1, 2, 3, 3, 2, 4, 0], [0, 0, 0, 1, 2, 3, 3, 3, 2, 1], [0, 0, 0, 1, 2, 3, 3, 4, 0, 2], [0, 0, 0, 1, 2, 3, 4, 0, 5, 0], [0, 0, 0, 1, 2, 3, 4, 1, 3, 1], [0, 0, 0, 1, 2, 3, 4, 2, 1, 2], [0, 0, 0, 1, 2, 3, 5, 0, 2, 2], [0, 0, 0, 1, 2, 3, 5, 1, 0, 3], [0, 0, 0, 1, 2, 4, 0, 5, 3, 0], [0, 0, 0, 1, 2, 4, 0, 6, 1, 1], [0, 0, 0, 1, 2, 4, 1, 3, 4, 0], [0, 0, 0, 1, 2, 4, 1, 4, 2, 1], [0, 0, 0, 1, 2, 4, 1, 5, 0, 2], [0, 0, 0, 1, 2, 4, 2, 1, 5, 0], [0, 0, 0, 1, 2, 4, 2, 2, 3, 1], [0, 0, 0, 1, 2, 4, 2, 3, 1, 2], [0, 0, 0, 1, 2, 4, 3, 0, 4, 1], [0, 0, 0, 1, 2, 4, 3, 1, 2, 2], [0, 0, 0, 1, 2, 4, 3, 2, 0, 3], [0, 0, 0, 1, 2, 4, 4, 0, 1, 3], [0, 0, 0, 1, 2, 5, 0, 2, 5, 0], [0, 0, 0, 1, 2, 5, 0, 3, 3, 1], [0, 0, 0, 1, 2, 5, 0, 4, 1, 2], [0, 0, 0, 1, 2, 5, 1, 0, 6, 0], [0, 0, 0, 1, 2, 5, 1, 1, 4, 1], [0, 0, 0, 1, 2, 5, 1, 2, 2, 2], [0, 0, 0, 1, 2, 5, 1, 3, 0, 3], [0, 0, 0, 1, 2, 5, 2, 0, 3, 2], [0, 0, 0, 1, 2, 5, 2, 1, 1, 3], [0, 0, 0, 1, 2, 5, 3, 0, 0, 4], [0, 0, 0, 1, 2, 6, 0, 0, 5, 1], [0, 0, 0, 1, 2, 6, 0, 1, 3, 2], [0, 0, 0, 1, 2, 6, 0, 2, 1, 3], [0, 0, 0, 1, 2, 6, 1, 0, 2, 3], [0, 0, 0, 1, 2, 6, 1, 1, 0, 4], [0, 0, 0, 1, 2, 7, 0, 0, 1, 4], [0, 0, 0, 1, 3, 0, 2, 9, 0, 0], [0, 0, 0, 1, 3, 0, 3, 7, 1, 0], [0, 0, 0, 1, 3, 0, 4, 5, 2, 0], [0, 0, 0, 1, 3, 0, 4, 6, 0, 1], [0, 0, 0, 1, 3, 0, 5, 3, 3, 0], [0, 0, 0, 1, 3, 0, 5, 4, 1, 1], [0, 0, 0, 1, 3, 0, 6, 1, 4, 0], [0, 0, 0, 1, 3, 0, 6, 2, 2, 1], [0, 0, 0, 1, 3, 0, 6, 3, 0, 2], [0, 0, 0, 1, 3, 0, 7, 0, 3, 1], [0, 0, 0, 1, 3, 0, 7, 1, 1, 2], [0, 0, 0, 1, 3, 0, 8, 0, 0, 3], [0, 0, 0, 1, 3, 1, 0, 10, 0, 0], [0, 0, 0, 1, 3, 1, 1, 8, 1, 0], [0, 0, 0, 1, 3, 1, 2, 6, 2, 0], [0, 0, 0, 1, 3, 1, 2, 7, 0, 1], [0, 0, 0, 1, 3, 1, 3, 4, 3, 0], [0, 0, 0, 1, 3, 1, 3, 5, 1, 1], [0, 0, 0, 1, 3, 1, 4, 2, 4, 0], [0, 0, 0, 1, 3, 1, 4, 3, 2, 1], [0, 0, 0, 1, 3, 1, 4, 4, 0, 2], [0, 0, 0, 1, 3, 1, 5, 0, 5, 0], [0, 0, 0, 1, 3, 1, 5, 1, 3, 1], [0, 0, 0, 1, 3, 1, 5, 2, 1, 2], [0, 0, 0, 1, 3, 1, 6, 0, 2, 2], [0, 0, 0, 1, 3, 1, 6, 1, 0, 3], [0, 0, 0, 1, 3, 2, 0, 7, 2, 0], [0, 0, 0, 1, 3, 2, 0, 8, 0, 1], [0, 0, 0, 1, 3, 2, 1, 5, 3, 0], [0, 0, 0, 1, 3, 2, 1, 6, 1, 1], [0, 0, 0, 1, 3, 2, 2, 3, 4, 0], [0, 0, 0, 1, 3, 2, 2, 4, 2, 1], [0, 0, 0, 1, 3, 2, 2, 5, 0, 2], [0, 0, 0, 1, 3, 2, 3, 1, 5, 0], [0, 0, 0, 1, 3, 2, 3, 2, 3, 1], [0, 0, 0, 1, 3, 2, 3, 3, 1, 2], [0, 0, 0, 1, 3, 2, 4, 0, 4, 1], [0, 0, 0, 1, 3, 2, 4, 1, 2, 2], [0, 0, 0, 1, 3, 2, 4, 2, 0, 3], [0, 0, 0, 1, 3, 2, 5, 0, 1, 3], [0, 0, 0, 1, 3, 3, 0, 4, 4, 0], [0, 0, 0, 1, 3, 3, 0, 5, 2, 1], [0, 0, 0, 1, 3, 3, 0, 6, 0, 2], [0, 0, 0, 1, 3, 3, 1, 2, 5, 0], [0, 0, 0, 1, 3, 3, 1, 3, 3, 1], [0, 0, 0, 1, 3, 3, 1, 4, 1, 2], [0, 0, 0, 1, 3, 3, 2, 0, 6, 0], [0, 0, 0, 1, 3, 3, 2, 1, 4, 1], [0, 0, 0, 1, 3, 3, 2, 2, 2, 2], [0, 0, 0, 1, 3, 3, 2, 3, 0, 3], [0, 0, 0, 1, 3, 3, 3, 0, 3, 2], [0, 0, 0, 1, 3, 3, 3, 1, 1, 3], [0, 0, 0, 1, 3, 3, 4, 0, 0, 4], [0, 0, 0, 1, 3, 4, 0, 1, 6, 0], [0, 0, 0, 1, 3, 4, 0, 2, 4, 1], [0, 0, 0, 1, 3, 4, 0, 3, 2, 2], [0, 0, 0, 1, 3, 4, 0, 4, 0, 3], [0, 0, 0, 1, 3, 4, 1, 0, 5, 1], [0, 0, 0, 1, 3, 4, 1, 1, 3, 2], [0, 0, 0, 1, 3, 4, 1, 2, 1, 3], [0, 0, 0, 1, 3, 4, 2, 0, 2, 3], [0, 0, 0, 1, 3, 4, 2, 1, 0, 4], [0, 0, 0, 1, 3, 5, 0, 0, 4, 2], [0, 0, 0, 1, 3, 5, 0, 1, 2, 3], [0, 0, 0, 1, 3, 5, 0, 2, 0, 4], [0, 0, 0, 1, 3, 5, 1, 0, 1, 4], [0, 0, 0, 1, 3, 6, 0, 0, 0, 5], [0, 0, 0, 1, 4, 0, 0, 9, 1, 0], [0, 0, 0, 1, 4, 0, 1, 7, 2, 0], [0, 0, 0, 1, 4, 0, 1, 8, 0, 1], [0, 0, 0, 1, 4, 0, 2, 5, 3, 0], [0, 0, 0, 1, 4, 0, 2, 6, 1, 1], [0, 0, 0, 1, 4, 0, 3, 3, 4, 0], [0, 0, 0, 1, 4, 0, 3, 4, 2, 1], [0, 0, 0, 1, 4, 0, 3, 5, 0, 2], [0, 0, 0, 1, 4, 0, 4, 1, 5, 0], [0, 0, 0, 1, 4, 0, 4, 2, 3, 1], [0, 0, 0, 1, 4, 0, 4, 3, 1, 2], [0, 0, 0, 1, 4, 0, 5, 0, 4, 1], [0, 0, 0, 1, 4, 0, 5, 1, 2, 2], [0, 0, 0, 1, 4, 0, 5, 2, 0, 3], [0, 0, 0, 1, 4, 0, 6, 0, 1, 3], [0, 0, 0, 1, 4, 1, 0, 6, 3, 0], [0, 0, 0, 1, 4, 1, 0, 7, 1, 1], [0, 0, 0, 1, 4, 1, 1, 4, 4, 0], [0, 0, 0, 1, 4, 1, 1, 5, 2, 1], [0, 0, 0, 1, 4, 1, 1, 6, 0, 2], [0, 0, 0, 1, 4, 1, 2, 2, 5, 0], [0, 0, 0, 1, 4, 1, 2, 3, 3, 1], [0, 0, 0, 1, 4, 1, 2, 4, 1, 2], [0, 0, 0, 1, 4, 1, 3, 0, 6, 0], [0, 0, 0, 1, 4, 1, 3, 1, 4, 1], [0, 0, 0, 1, 4, 1, 3, 2, 2, 2], [0, 0, 0, 1, 4, 1, 3, 3, 0, 3], [0, 0, 0, 1, 4, 1, 4, 0, 3, 2], [0, 0, 0, 1, 4, 1, 4, 1, 1, 3], [0, 0, 0, 1, 4, 1, 5, 0, 0, 4], [0, 0, 0, 1, 4, 2, 0, 3, 5, 0], [0, 0, 0, 1, 4, 2, 0, 4, 3, 1], [0, 0, 0, 1, 4, 2, 0, 5, 1, 2], [0, 0, 0, 1, 4, 2, 1, 1, 6, 0], [0, 0, 0, 1, 4, 2, 1, 2, 4, 1], [0, 0, 0, 1, 4, 2, 1, 3, 2, 2], [0, 0, 0, 1, 4, 2, 1, 4, 0, 3], [0, 0, 0, 1, 4, 2, 2, 0, 5, 1], [0, 0, 0, 1, 4, 2, 2, 1, 3, 2], [0, 0, 0, 1, 4, 2, 2, 2, 1, 3], [0, 0, 0, 1, 4, 2, 3, 0, 2, 3], [0, 0, 0, 1, 4, 2, 3, 1, 0, 4], [0, 0, 0, 1, 4, 3, 0, 0, 7, 0], [0, 0, 0, 1, 4, 3, 0, 1, 5, 1], [0, 0, 0, 1, 4, 3, 0, 2, 3, 2], [0, 0, 0, 1, 4, 3, 0, 3, 1, 3], [0, 0, 0, 1, 4, 3, 1, 0, 4, 2], [0, 0, 0, 1, 4, 3, 1, 1, 2, 3], [0, 0, 0, 1, 4, 3, 1, 2, 0, 4], [0, 0, 0, 1, 4, 3, 2, 0, 1, 4], [0, 0, 0, 1, 4, 4, 0, 0, 3, 3], [0, 0, 0, 1, 4, 4, 0, 1, 1, 4], [0, 0, 0, 1, 4, 4, 1, 0, 0, 5], [0, 0, 0, 1, 5, 0, 0, 5, 4, 0], [0, 0, 0, 1, 5, 0, 0, 6, 2, 1], [0, 0, 0, 1, 5, 0, 0, 7, 0, 2], [0, 0, 0, 1, 5, 0, 1, 3, 5, 0], [0, 0, 0, 1, 5, 0, 1, 4, 3, 1], [0, 0, 0, 1, 5, 0, 1, 5, 1, 2], [0, 0, 0, 1, 5, 0, 2, 1, 6, 0], [0, 0, 0, 1, 5, 0, 2, 2, 4, 1], [0, 0, 0, 1, 5, 0, 2, 3, 2, 2], [0, 0, 0, 1, 5, 0, 2, 4, 0, 3], [0, 0, 0, 1, 5, 0, 3, 0, 5, 1], [0, 0, 0, 1, 5, 0, 3, 1, 3, 2], [0, 0, 0, 1, 5, 0, 3, 2, 1, 3], [0, 0, 0, 1, 5, 0, 4, 0, 2, 3], [0, 0, 0, 1, 5, 0, 4, 1, 0, 4], [0, 0, 0, 1, 5, 1, 0, 2, 6, 0], [0, 0, 0, 1, 5, 1, 0, 3, 4, 1], [0, 0, 0, 1, 5, 1, 0, 4, 2, 2], [0, 0, 0, 1, 5, 1, 0, 5, 0, 3], [0, 0, 0, 1, 5, 1, 1, 0, 7, 0], [0, 0, 0, 1, 5, 1, 1, 1, 5, 1], [0, 0, 0, 1, 5, 1, 1, 2, 3, 2], [0, 0, 0, 1, 5, 1, 1, 3, 1, 3], [0, 0, 0, 1, 5, 1, 2, 0, 4, 2], [0, 0, 0, 1, 5, 1, 2, 1, 2, 3], [0, 0, 0, 1, 5, 1, 2, 2, 0, 4], [0, 0, 0, 1, 5, 1, 3, 0, 1, 4], [0, 0, 0, 1, 5, 2, 0, 0, 6, 1], [0, 0, 0, 1, 5, 2, 0, 1, 4, 2], [0, 0, 0, 1, 5, 2, 0, 2, 2, 3], [0, 0, 0, 1, 5, 2, 0, 3, 0, 4], [0, 0, 0, 1, 5, 2, 1, 0, 3, 3], [0, 0, 0, 1, 5, 2, 1, 1, 1, 4], [0, 0, 0, 1, 5, 2, 2, 0, 0, 5], [0, 0, 0, 1, 5, 3, 0, 0, 2, 4], [0, 0, 0, 1, 5, 3, 0, 1, 0, 5], [0, 0, 0, 1, 6, 0, 0, 1, 7, 0], [0, 0, 0, 1, 6, 0, 0, 2, 5, 1], [0, 0, 0, 1, 6, 0, 0, 3, 3, 2], [0, 0, 0, 1, 6, 0, 0, 4, 1, 3], [0, 0, 0, 1, 6, 0, 1, 0, 6, 1], [0, 0, 0, 1, 6, 0, 1, 1, 4, 2], [0, 0, 0, 1, 6, 0, 1, 2, 2, 3], [0, 0, 0, 1, 6, 0, 1, 3, 0, 4], [0, 0, 0, 1, 6, 0, 2, 0, 3, 3], [0, 0, 0, 1, 6, 0, 2, 1, 1, 4], [0, 0, 0, 1, 6, 0, 3, 0, 0, 5], [0, 0, 0, 1, 6, 1, 0, 0, 5, 2], [0, 0, 0, 1, 6, 1, 0, 1, 3, 3], [0, 0, 0, 1, 6, 1, 0, 2, 1, 4], [0, 0, 0, 1, 6, 1, 1, 0, 2, 4], [0, 0, 0, 1, 6, 1, 1, 1, 0, 5], [0, 0, 0, 1, 6, 2, 0, 0, 1, 5], [0, 0, 0, 1, 7, 0, 0, 0, 4, 3], [0, 0, 0, 1, 7, 0, 0, 1, 2, 4], [0, 0, 0, 1, 7, 0, 0, 2, 0, 5], [0, 0, 0, 1, 7, 0, 1, 0, 1, 5], [0, 0, 0, 1, 7, 1, 0, 0, 0, 6], [0, 0, 0, 2, 0, 0, 7, 6, 0, 0], [0, 0, 0, 2, 0, 0, 8, 4, 1, 0], [0, 0, 0, 2, 0, 0, 9, 2, 2, 0], [0, 0, 0, 2, 0, 0, 9, 3, 0, 1], [0, 0, 0, 2, 0, 0, 10, 0, 3, 0], [0, 0, 0, 2, 0, 0, 10, 1, 1, 1], [0, 0, 0, 2, 0, 0, 11, 0, 0, 2], [0, 0, 0, 2, 0, 1, 5, 7, 0, 0], [0, 0, 0, 2, 0, 1, 6, 5, 1, 0], [0, 0, 0, 2, 0, 1, 7, 3, 2, 0], [0, 0, 0, 2, 0, 1, 7, 4, 0, 1], [0, 0, 0, 2, 0, 1, 8, 1, 3, 0], [0, 0, 0, 2, 0, 1, 8, 2, 1, 1], [0, 0, 0, 2, 0, 1, 9, 0, 2, 1], [0, 0, 0, 2, 0, 1, 9, 1, 0, 2], [0, 0, 0, 2, 0, 2, 3, 8, 0, 0], [0, 0, 0, 2, 0, 2, 4, 6, 1, 0], [0, 0, 0, 2, 0, 2, 5, 4, 2, 0], [0, 0, 0, 2, 0, 2, 5, 5, 0, 1], [0, 0, 0, 2, 0, 2, 6, 2, 3, 0], [0, 0, 0, 2, 0, 2, 6, 3, 1, 1], [0, 0, 0, 2, 0, 2, 7, 0, 4, 0], [0, 0, 0, 2, 0, 2, 7, 1, 2, 1], [0, 0, 0, 2, 0, 2, 7, 2, 0, 2], [0, 0, 0, 2, 0, 2, 8, 0, 1, 2], [0, 0, 0, 2, 0, 3, 1, 9, 0, 0], [0, 0, 0, 2, 0, 3, 2, 7, 1, 0], [0, 0, 0, 2, 0, 3, 3, 5, 2, 0], [0, 0, 0, 2, 0, 3, 3, 6, 0, 1], [0, 0, 0, 2, 0, 3, 4, 3, 3, 0], [0, 0, 0, 2, 0, 3, 4, 4, 1, 1], [0, 0, 0, 2, 0, 3, 5, 1, 4, 0], [0, 0, 0, 2, 0, 3, 5, 2, 2, 1], [0, 0, 0, 2, 0, 3, 5, 3, 0, 2], [0, 0, 0, 2, 0, 3, 6, 0, 3, 1], [0, 0, 0, 2, 0, 3, 6, 1, 1, 2], [0, 0, 0, 2, 0, 3, 7, 0, 0, 3], [0, 0, 0, 2, 0, 4, 0, 8, 1, 0], [0, 0, 0, 2, 0, 4, 1, 6, 2, 0], [0, 0, 0, 2, 0, 4, 1, 7, 0, 1], [0, 0, 0, 2, 0, 4, 2, 4, 3, 0], [0, 0, 0, 2, 0, 4, 2, 5, 1, 1], [0, 0, 0, 2, 0, 4, 3, 2, 4, 0], [0, 0, 0, 2, 0, 4, 3, 3, 2, 1], [0, 0, 0, 2, 0, 4, 3, 4, 0, 2], [0, 0, 0, 2, 0, 4, 4, 0, 5, 0], [0, 0, 0, 2, 0, 4, 4, 1, 3, 1], [0, 0, 0, 2, 0, 4, 4, 2, 1, 2], [0, 0, 0, 2, 0, 4, 5, 0, 2, 2], [0, 0, 0, 2, 0, 4, 5, 1, 0, 3], [0, 0, 0, 2, 0, 5, 0, 5, 3, 0], [0, 0, 0, 2, 0, 5, 0, 6, 1, 1], [0, 0, 0, 2, 0, 5, 1, 3, 4, 0], [0, 0, 0, 2, 0, 5, 1, 4, 2, 1], [0, 0, 0, 2, 0, 5, 1, 5, 0, 2], [0, 0, 0, 2, 0, 5, 2, 1, 5, 0], [0, 0, 0, 2, 0, 5, 2, 2, 3, 1], [0, 0, 0, 2, 0, 5, 2, 3, 1, 2], [0, 0, 0, 2, 0, 5, 3, 0, 4, 1], [0, 0, 0, 2, 0, 5, 3, 1, 2, 2], [0, 0, 0, 2, 0, 5, 3, 2, 0, 3], [0, 0, 0, 2, 0, 5, 4, 0, 1, 3], [0, 0, 0, 2, 0, 6, 0, 2, 5, 0], [0, 0, 0, 2, 0, 6, 0, 3, 3, 1], [0, 0, 0, 2, 0, 6, 0, 4, 1, 2], [0, 0, 0, 2, 0, 6, 1, 0, 6, 0], [0, 0, 0, 2, 0, 6, 1, 1, 4, 1], [0, 0, 0, 2, 0, 6, 1, 2, 2, 2], [0, 0, 0, 2, 0, 6, 1, 3, 0, 3], [0, 0, 0, 2, 0, 6, 2, 0, 3, 2], [0, 0, 0, 2, 0, 6, 2, 1, 1, 3], [0, 0, 0, 2, 0, 6, 3, 0, 0, 4], [0, 0, 0, 2, 0, 7, 0, 0, 5, 1], [0, 0, 0, 2, 0, 7, 0, 1, 3, 2], [0, 0, 0, 2, 0, 7, 0, 2, 1, 3], [0, 0, 0, 2, 0, 7, 1, 0, 2, 3], [0, 0, 0, 2, 0, 7, 1, 1, 0, 4], [0, 0, 0, 2, 0, 8, 0, 0, 1, 4], [0, 0, 0, 2, 1, 0, 4, 8, 0, 0], [0, 0, 0, 2, 1, 0, 5, 6, 1, 0], [0, 0, 0, 2, 1, 0, 6, 4, 2, 0], [0, 0, 0, 2, 1, 0, 6, 5, 0, 1], [0, 0, 0, 2, 1, 0, 7, 2, 3, 0], [0, 0, 0, 2, 1, 0, 7, 3, 1, 1], [0, 0, 0, 2, 1, 0, 8, 0, 4, 0], [0, 0, 0, 2, 1, 0, 8, 1, 2, 1], [0, 0, 0, 2, 1, 0, 8, 2, 0, 2], [0, 0, 0, 2, 1, 0, 9, 0, 1, 2], [0, 0, 0, 2, 1, 1, 2, 9, 0, 0], [0, 0, 0, 2, 1, 1, 3, 7, 1, 0], [0, 0, 0, 2, 1, 1, 4, 5, 2, 0], [0, 0, 0, 2, 1, 1, 4, 6, 0, 1], [0, 0, 0, 2, 1, 1, 5, 3, 3, 0], [0, 0, 0, 2, 1, 1, 5, 4, 1, 1], [0, 0, 0, 2, 1, 1, 6, 1, 4, 0], [0, 0, 0, 2, 1, 1, 6, 2, 2, 1], [0, 0, 0, 2, 1, 1, 6, 3, 0, 2], [0, 0, 0, 2, 1, 1, 7, 0, 3, 1], [0, 0, 0, 2, 1, 1, 7, 1, 1, 2], [0, 0, 0, 2, 1, 1, 8, 0, 0, 3], [0, 0, 0, 2, 1, 2, 0, 10, 0, 0], [0, 0, 0, 2, 1, 2, 1, 8, 1, 0], [0, 0, 0, 2, 1, 2, 2, 6, 2, 0], [0, 0, 0, 2, 1, 2, 2, 7, 0, 1], [0, 0, 0, 2, 1, 2, 3, 4, 3, 0], [0, 0, 0, 2, 1, 2, 3, 5, 1, 1], [0, 0, 0, 2, 1, 2, 4, 2, 4, 0], [0, 0, 0, 2, 1, 2, 4, 3, 2, 1], [0, 0, 0, 2, 1, 2, 4, 4, 0, 2], [0, 0, 0, 2, 1, 2, 5, 0, 5, 0], [0, 0, 0, 2, 1, 2, 5, 1, 3, 1], [0, 0, 0, 2, 1, 2, 5, 2, 1, 2], [0, 0, 0, 2, 1, 2, 6, 0, 2, 2], [0, 0, 0, 2, 1, 2, 6, 1, 0, 3], [0, 0, 0, 2, 1, 3, 0, 7, 2, 0], [0, 0, 0, 2, 1, 3, 0, 8, 0, 1], [0, 0, 0, 2, 1, 3, 1, 5, 3, 0], [0, 0, 0, 2, 1, 3, 1, 6, 1, 1], [0, 0, 0, 2, 1, 3, 2, 3, 4, 0], [0, 0, 0, 2, 1, 3, 2, 4, 2, 1], [0, 0, 0, 2, 1, 3, 2, 5, 0, 2], [0, 0, 0, 2, 1, 3, 3, 1, 5, 0], [0, 0, 0, 2, 1, 3, 3, 2, 3, 1], [0, 0, 0, 2, 1, 3, 3, 3, 1, 2], [0, 0, 0, 2, 1, 3, 4, 0, 4, 1], [0, 0, 0, 2, 1, 3, 4, 1, 2, 2], [0, 0, 0, 2, 1, 3, 4, 2, 0, 3], [0, 0, 0, 2, 1, 3, 5, 0, 1, 3], [0, 0, 0, 2, 1, 4, 0, 4, 4, 0], [0, 0, 0, 2, 1, 4, 0, 5, 2, 1], [0, 0, 0, 2, 1, 4, 0, 6, 0, 2], [0, 0, 0, 2, 1, 4, 1, 2, 5, 0], [0, 0, 0, 2, 1, 4, 1, 3, 3, 1], [0, 0, 0, 2, 1, 4, 1, 4, 1, 2], [0, 0, 0, 2, 1, 4, 2, 0, 6, 0], [0, 0, 0, 2, 1, 4, 2, 1, 4, 1], [0, 0, 0, 2, 1, 4, 2, 2, 2, 2], [0, 0, 0, 2, 1, 4, 2, 3, 0, 3], [0, 0, 0, 2, 1, 4, 3, 0, 3, 2], [0, 0, 0, 2, 1, 4, 3, 1, 1, 3], [0, 0, 0, 2, 1, 4, 4, 0, 0, 4], [0, 0, 0, 2, 1, 5, 0, 1, 6, 0], [0, 0, 0, 2, 1, 5, 0, 2, 4, 1], [0, 0, 0, 2, 1, 5, 0, 3, 2, 2], [0, 0, 0, 2, 1, 5, 0, 4, 0, 3], [0, 0, 0, 2, 1, 5, 1, 0, 5, 1], [0, 0, 0, 2, 1, 5, 1, 1, 3, 2], [0, 0, 0, 2, 1, 5, 1, 2, 1, 3], [0, 0, 0, 2, 1, 5, 2, 0, 2, 3], [0, 0, 0, 2, 1, 5, 2, 1, 0, 4], [0, 0, 0, 2, 1, 6, 0, 0, 4, 2], [0, 0, 0, 2, 1, 6, 0, 1, 2, 3], [0, 0, 0, 2, 1, 6, 0, 2, 0, 4], [0, 0, 0, 2, 1, 6, 1, 0, 1, 4], [0, 0, 0, 2, 1, 7, 0, 0, 0, 5], [0, 0, 0, 2, 2, 0, 1, 10, 0, 0], [0, 0, 0, 2, 2, 0, 2, 8, 1, 0], [0, 0, 0, 2, 2, 0, 3, 6, 2, 0], [0, 0, 0, 2, 2, 0, 3, 7, 0, 1], [0, 0, 0, 2, 2, 0, 4, 4, 3, 0], [0, 0, 0, 2, 2, 0, 4, 5, 1, 1], [0, 0, 0, 2, 2, 0, 5, 2, 4, 0], [0, 0, 0, 2, 2, 0, 5, 3, 2, 1], [0, 0, 0, 2, 2, 0, 5, 4, 0, 2], [0, 0, 0, 2, 2, 0, 6, 0, 5, 0], [0, 0, 0, 2, 2, 0, 6, 1, 3, 1], [0, 0, 0, 2, 2, 0, 6, 2, 1, 2], [0, 0, 0, 2, 2, 0, 7, 0, 2, 2], [0, 0, 0, 2, 2, 0, 7, 1, 0, 3], [0, 0, 0, 2, 2, 1, 0, 9, 1, 0], [0, 0, 0, 2, 2, 1, 1, 7, 2, 0], [0, 0, 0, 2, 2, 1, 1, 8, 0, 1], [0, 0, 0, 2, 2, 1, 2, 5, 3, 0], [0, 0, 0, 2, 2, 1, 2, 6, 1, 1], [0, 0, 0, 2, 2, 1, 3, 3, 4, 0], [0, 0, 0, 2, 2, 1, 3, 4, 2, 1], [0, 0, 0, 2, 2, 1, 3, 5, 0, 2], [0, 0, 0, 2, 2, 1, 4, 1, 5, 0], [0, 0, 0, 2, 2, 1, 4, 2, 3, 1], [0, 0, 0, 2, 2, 1, 4, 3, 1, 2], [0, 0, 0, 2, 2, 1, 5, 0, 4, 1], [0, 0, 0, 2, 2, 1, 5, 1, 2, 2], [0, 0, 0, 2, 2, 1, 5, 2, 0, 3], [0, 0, 0, 2, 2, 1, 6, 0, 1, 3], [0, 0, 0, 2, 2, 2, 0, 6, 3, 0], [0, 0, 0, 2, 2, 2, 0, 7, 1, 1], [0, 0, 0, 2, 2, 2, 1, 4, 4, 0], [0, 0, 0, 2, 2, 2, 1, 5, 2, 1], [0, 0, 0, 2, 2, 2, 1, 6, 0, 2], [0, 0, 0, 2, 2, 2, 2, 2, 5, 0], [0, 0, 0, 2, 2, 2, 2, 3, 3, 1], [0, 0, 0, 2, 2, 2, 2, 4, 1, 2], [0, 0, 0, 2, 2, 2, 3, 0, 6, 0], [0, 0, 0, 2, 2, 2, 3, 1, 4, 1], [0, 0, 0, 2, 2, 2, 3, 2, 2, 2], [0, 0, 0, 2, 2, 2, 3, 3, 0, 3], [0, 0, 0, 2, 2, 2, 4, 0, 3, 2], [0, 0, 0, 2, 2, 2, 4, 1, 1, 3], [0, 0, 0, 2, 2, 2, 5, 0, 0, 4], [0, 0, 0, 2, 2, 3, 0, 3, 5, 0], [0, 0, 0, 2, 2, 3, 0, 4, 3, 1], [0, 0, 0, 2, 2, 3, 0, 5, 1, 2], [0, 0, 0, 2, 2, 3, 1, 1, 6, 0], [0, 0, 0, 2, 2, 3, 1, 2, 4, 1], [0, 0, 0, 2, 2, 3, 1, 3, 2, 2], [0, 0, 0, 2, 2, 3, 1, 4, 0, 3], [0, 0, 0, 2, 2, 3, 2, 0, 5, 1], [0, 0, 0, 2, 2, 3, 2, 1, 3, 2], [0, 0, 0, 2, 2, 3, 2, 2, 1, 3], [0, 0, 0, 2, 2, 3, 3, 0, 2, 3], [0, 0, 0, 2, 2, 3, 3, 1, 0, 4], [0, 0, 0, 2, 2, 4, 0, 0, 7, 0], [0, 0, 0, 2, 2, 4, 0, 1, 5, 1], [0, 0, 0, 2, 2, 4, 0, 2, 3, 2], [0, 0, 0, 2, 2, 4, 0, 3, 1, 3], [0, 0, 0, 2, 2, 4, 1, 0, 4, 2], [0, 0, 0, 2, 2, 4, 1, 1, 2, 3], [0, 0, 0, 2, 2, 4, 1, 2, 0, 4], [0, 0, 0, 2, 2, 4, 2, 0, 1, 4], [0, 0, 0, 2, 2, 5, 0, 0, 3, 3], [0, 0, 0, 2, 2, 5, 0, 1, 1, 4], [0, 0, 0, 2, 2, 5, 1, 0, 0, 5], [0, 0, 0, 2, 3, 0, 0, 8, 2, 0], [0, 0, 0, 2, 3, 0, 0, 9, 0, 1], [0, 0, 0, 2, 3, 0, 1, 6, 3, 0], [0, 0, 0, 2, 3, 0, 1, 7, 1, 1], [0, 0, 0, 2, 3, 0, 2, 4, 4, 0], [0, 0, 0, 2, 3, 0, 2, 5, 2, 1], [0, 0, 0, 2, 3, 0, 2, 6, 0, 2], [0, 0, 0, 2, 3, 0, 3, 2, 5, 0], [0, 0, 0, 2, 3, 0, 3, 3, 3, 1], [0, 0, 0, 2, 3, 0, 3, 4, 1, 2], [0, 0, 0, 2, 3, 0, 4, 0, 6, 0], [0, 0, 0, 2, 3, 0, 4, 1, 4, 1], [0, 0, 0, 2, 3, 0, 4, 2, 2, 2], [0, 0, 0, 2, 3, 0, 4, 3, 0, 3], [0, 0, 0, 2, 3, 0, 5, 0, 3, 2], [0, 0, 0, 2, 3, 0, 5, 1, 1, 3], [0, 0, 0, 2, 3, 0, 6, 0, 0, 4], [0, 0, 0, 2, 3, 1, 0, 5, 4, 0], [0, 0, 0, 2, 3, 1, 0, 6, 2, 1], [0, 0, 0, 2, 3, 1, 0, 7, 0, 2], [0, 0, 0, 2, 3, 1, 1, 3, 5, 0], [0, 0, 0, 2, 3, 1, 1, 4, 3, 1], [0, 0, 0, 2, 3, 1, 1, 5, 1, 2], [0, 0, 0, 2, 3, 1, 2, 1, 6, 0], [0, 0, 0, 2, 3, 1, 2, 2, 4, 1], [0, 0, 0, 2, 3, 1, 2, 3, 2, 2], [0, 0, 0, 2, 3, 1, 2, 4, 0, 3], [0, 0, 0, 2, 3, 1, 3, 0, 5, 1], [0, 0, 0, 2, 3, 1, 3, 1, 3, 2], [0, 0, 0, 2, 3, 1, 3, 2, 1, 3], [0, 0, 0, 2, 3, 1, 4, 0, 2, 3], [0, 0, 0, 2, 3, 1, 4, 1, 0, 4], [0, 0, 0, 2, 3, 2, 0, 2, 6, 0], [0, 0, 0, 2, 3, 2, 0, 3, 4, 1], [0, 0, 0, 2, 3, 2, 0, 4, 2, 2], [0, 0, 0, 2, 3, 2, 0, 5, 0, 3], [0, 0, 0, 2, 3, 2, 1, 0, 7, 0], [0, 0, 0, 2, 3, 2, 1, 1, 5, 1], [0, 0, 0, 2, 3, 2, 1, 2, 3, 2], [0, 0, 0, 2, 3, 2, 1, 3, 1, 3], [0, 0, 0, 2, 3, 2, 2, 0, 4, 2], [0, 0, 0, 2, 3, 2, 2, 1, 2, 3], [0, 0, 0, 2, 3, 2, 2, 2, 0, 4], [0, 0, 0, 2, 3, 2, 3, 0, 1, 4], [0, 0, 0, 2, 3, 3, 0, 0, 6, 1], [0, 0, 0, 2, 3, 3, 0, 1, 4, 2], [0, 0, 0, 2, 3, 3, 0, 2, 2, 3], [0, 0, 0, 2, 3, 3, 0, 3, 0, 4], [0, 0, 0, 2, 3, 3, 1, 0, 3, 3], [0, 0, 0, 2, 3, 3, 1, 1, 1, 4], [0, 0, 0, 2, 3, 3, 2, 0, 0, 5], [0, 0, 0, 2, 3, 4, 0, 0, 2, 4], [0, 0, 0, 2, 3, 4, 0, 1, 0, 5], [0, 0, 0, 2, 4, 0, 0, 4, 5, 0], [0, 0, 0, 2, 4, 0, 0, 5, 3, 1], [0, 0, 0, 2, 4, 0, 0, 6, 1, 2], [0, 0, 0, 2, 4, 0, 1, 2, 6, 0], [0, 0, 0, 2, 4, 0, 1, 3, 4, 1], [0, 0, 0, 2, 4, 0, 1, 4, 2, 2], [0, 0, 0, 2, 4, 0, 1, 5, 0, 3], [0, 0, 0, 2, 4, 0, 2, 0, 7, 0], [0, 0, 0, 2, 4, 0, 2, 1, 5, 1], [0, 0, 0, 2, 4, 0, 2, 2, 3, 2], [0, 0, 0, 2, 4, 0, 2, 3, 1, 3], [0, 0, 0, 2, 4, 0, 3, 0, 4, 2], [0, 0, 0, 2, 4, 0, 3, 1, 2, 3], [0, 0, 0, 2, 4, 0, 3, 2, 0, 4], [0, 0, 0, 2, 4, 0, 4, 0, 1, 4], [0, 0, 0, 2, 4, 1, 0, 1, 7, 0], [0, 0, 0, 2, 4, 1, 0, 2, 5, 1], [0, 0, 0, 2, 4, 1, 0, 3, 3, 2], [0, 0, 0, 2, 4, 1, 0, 4, 1, 3], [0, 0, 0, 2, 4, 1, 1, 0, 6, 1], [0, 0, 0, 2, 4, 1, 1, 1, 4, 2], [0, 0, 0, 2, 4, 1, 1, 2, 2, 3], [0, 0, 0, 2, 4, 1, 1, 3, 0, 4], [0, 0, 0, 2, 4, 1, 2, 0, 3, 3], [0, 0, 0, 2, 4, 1, 2, 1, 1, 4], [0, 0, 0, 2, 4, 1, 3, 0, 0, 5], [0, 0, 0, 2, 4, 2, 0, 0, 5, 2], [0, 0, 0, 2, 4, 2, 0, 1, 3, 3], [0, 0, 0, 2, 4, 2, 0, 2, 1, 4], [0, 0, 0, 2, 4, 2, 1, 0, 2, 4], [0, 0, 0, 2, 4, 2, 1, 1, 0, 5], [0, 0, 0, 2, 4, 3, 0, 0, 1, 5], [0, 0, 0, 2, 5, 0, 0, 0, 8, 0], [0, 0, 0, 2, 5, 0, 0, 1, 6, 1], [0, 0, 0, 2, 5, 0, 0, 2, 4, 2], [0, 0, 0, 2, 5, 0, 0, 3, 2, 3], [0, 0, 0, 2, 5, 0, 0, 4, 0, 4], [0, 0, 0, 2, 5, 0, 1, 0, 5, 2], [0, 0, 0, 2, 5, 0, 1, 1, 3, 3], [0, 0, 0, 2, 5, 0, 1, 2, 1, 4], [0, 0, 0, 2, 5, 0, 2, 0, 2, 4], [0, 0, 0, 2, 5, 0, 2, 1, 0, 5], [0, 0, 0, 2, 5, 1, 0, 0, 4, 3], [0, 0, 0, 2, 5, 1, 0, 1, 2, 4], [0, 0, 0, 2, 5, 1, 0, 2, 0, 5], [0, 0, 0, 2, 5, 1, 1, 0, 1, 5], [0, 0, 0, 2, 5, 2, 0, 0, 0, 6], [0, 0, 0, 2, 6, 0, 0, 0, 3, 4], [0, 0, 0, 2, 6, 0, 0, 1, 1, 5], [0, 0, 0, 2, 6, 0, 1, 0, 0, 6], [0, 0, 0, 3, 0, 0, 3, 9, 0, 0], [0, 0, 0, 3, 0, 0, 4, 7, 1, 0], [0, 0, 0, 3, 0, 0, 5, 5, 2, 0], [0, 0, 0, 3, 0, 0, 5, 6, 0, 1], [0, 0, 0, 3, 0, 0, 6, 3, 3, 0], [0, 0, 0, 3, 0, 0, 6, 4, 1, 1], [0, 0, 0, 3, 0, 0, 7, 1, 4, 0], [0, 0, 0, 3, 0, 0, 7, 2, 2, 1], [0, 0, 0, 3, 0, 0, 7, 3, 0, 2], [0, 0, 0, 3, 0, 0, 8, 0, 3, 1], [0, 0, 0, 3, 0, 0, 8, 1, 1, 2], [0, 0, 0, 3, 0, 0, 9, 0, 0, 3], [0, 0, 0, 3, 0, 1, 1, 10, 0, 0], [0, 0, 0, 3, 0, 1, 2, 8, 1, 0], [0, 0, 0, 3, 0, 1, 3, 6, 2, 0], [0, 0, 0, 3, 0, 1, 3, 7, 0, 1], [0, 0, 0, 3, 0, 1, 4, 4, 3, 0], [0, 0, 0, 3, 0, 1, 4, 5, 1, 1], [0, 0, 0, 3, 0, 1, 5, 2, 4, 0], [0, 0, 0, 3, 0, 1, 5, 3, 2, 1], [0, 0, 0, 3, 0, 1, 5, 4, 0, 2], [0, 0, 0, 3, 0, 1, 6, 0, 5, 0], [0, 0, 0, 3, 0, 1, 6, 1, 3, 1], [0, 0, 0, 3, 0, 1, 6, 2, 1, 2], [0, 0, 0, 3, 0, 1, 7, 0, 2, 2], [0, 0, 0, 3, 0, 1, 7, 1, 0, 3], [0, 0, 0, 3, 0, 2, 0, 9, 1, 0], [0, 0, 0, 3, 0, 2, 1, 7, 2, 0], [0, 0, 0, 3, 0, 2, 1, 8, 0, 1], [0, 0, 0, 3, 0, 2, 2, 5, 3, 0], [0, 0, 0, 3, 0, 2, 2, 6, 1, 1], [0, 0, 0, 3, 0, 2, 3, 3, 4, 0], [0, 0, 0, 3, 0, 2, 3, 4, 2, 1], [0, 0, 0, 3, 0, 2, 3, 5, 0, 2], [0, 0, 0, 3, 0, 2, 4, 1, 5, 0], [0, 0, 0, 3, 0, 2, 4, 2, 3, 1], [0, 0, 0, 3, 0, 2, 4, 3, 1, 2], [0, 0, 0, 3, 0, 2, 5, 0, 4, 1], [0, 0, 0, 3, 0, 2, 5, 1, 2, 2], [0, 0, 0, 3, 0, 2, 5, 2, 0, 3], [0, 0, 0, 3, 0, 2, 6, 0, 1, 3], [0, 0, 0, 3, 0, 3, 0, 6, 3, 0], [0, 0, 0, 3, 0, 3, 0, 7, 1, 1], [0, 0, 0, 3, 0, 3, 1, 4, 4, 0], [0, 0, 0, 3, 0, 3, 1, 5, 2, 1], [0, 0, 0, 3, 0, 3, 1, 6, 0, 2], [0, 0, 0, 3, 0, 3, 2, 2, 5, 0], [0, 0, 0, 3, 0, 3, 2, 3, 3, 1], [0, 0, 0, 3, 0, 3, 2, 4, 1, 2], [0, 0, 0, 3, 0, 3, 3, 0, 6, 0], [0, 0, 0, 3, 0, 3, 3, 1, 4, 1], [0, 0, 0, 3, 0, 3, 3, 2, 2, 2], [0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 4, 0, 3, 2], [0, 0, 0, 3, 0, 3, 4, 1, 1, 3], [0, 0, 0, 3, 0, 3, 5, 0, 0, 4], [0, 0, 0, 3, 0, 4, 0, 3, 5, 0], [0, 0, 0, 3, 0, 4, 0, 4, 3, 1], [0, 0, 0, 3, 0, 4, 0, 5, 1, 2], [0, 0, 0, 3, 0, 4, 1, 1, 6, 0], [0, 0, 0, 3, 0, 4, 1, 2, 4, 1], [0, 0, 0, 3, 0, 4, 1, 3, 2, 2], [0, 0, 0, 3, 0, 4, 1, 4, 0, 3], [0, 0, 0, 3, 0, 4, 2, 0, 5, 1], [0, 0, 0, 3, 0, 4, 2, 1, 3, 2], [0, 0, 0, 3, 0, 4, 2, 2, 1, 3], [0, 0, 0, 3, 0, 4, 3, 0, 2, 3], [0, 0, 0, 3, 0, 4, 3, 1, 0, 4], [0, 0, 0, 3, 0, 5, 0, 0, 7, 0], [0, 0, 0, 3, 0, 5, 0, 1, 5, 1], [0, 0, 0, 3, 0, 5, 0, 2, 3, 2], [0, 0, 0, 3, 0, 5, 0, 3, 1, 3], [0, 0, 0, 3, 0, 5, 1, 0, 4, 2], [0, 0, 0, 3, 0, 5, 1, 1, 2, 3], [0, 0, 0, 3, 0, 5, 1, 2, 0, 4], [0, 0, 0, 3, 0, 5, 2, 0, 1, 4], [0, 0, 0, 3, 0, 6, 0, 0, 3, 3], [0, 0, 0, 3, 0, 6, 0, 1, 1, 4], [0, 0, 0, 3, 0, 6, 1, 0, 0, 5], [0, 0, 0, 3, 1, 0, 0, 11, 0, 0], [0, 0, 0, 3, 1, 0, 1, 9, 1, 0], [0, 0, 0, 3, 1, 0, 2, 7, 2, 0], [0, 0, 0, 3, 1, 0, 2, 8, 0, 1], [0, 0, 0, 3, 1, 0, 3, 5, 3, 0], [0, 0, 0, 3, 1, 0, 3, 6, 1, 1], [0, 0, 0, 3, 1, 0, 4, 3, 4, 0], [0, 0, 0, 3, 1, 0, 4, 4, 2, 1], [0, 0, 0, 3, 1, 0, 4, 5, 0, 2], [0, 0, 0, 3, 1, 0, 5, 1, 5, 0], [0, 0, 0, 3, 1, 0, 5, 2, 3, 1], [0, 0, 0, 3, 1, 0, 5, 3, 1, 2], [0, 0, 0, 3, 1, 0, 6, 0, 4, 1], [0, 0, 0, 3, 1, 0, 6, 1, 2, 2], [0, 0, 0, 3, 1, 0, 6, 2, 0, 3], [0, 0, 0, 3, 1, 0, 7, 0, 1, 3], [0, 0, 0, 3, 1, 1, 0, 8, 2, 0], [0, 0, 0, 3, 1, 1, 0, 9, 0, 1], [0, 0, 0, 3, 1, 1, 1, 6, 3, 0], [0, 0, 0, 3, 1, 1, 1, 7, 1, 1], [0, 0, 0, 3, 1, 1, 2, 4, 4, 0], [0, 0, 0, 3, 1, 1, 2, 5, 2, 1], [0, 0, 0, 3, 1, 1, 2, 6, 0, 2], [0, 0, 0, 3, 1, 1, 3, 2, 5, 0], [0, 0, 0, 3, 1, 1, 3, 3, 3, 1], [0, 0, 0, 3, 1, 1, 3, 4, 1, 2], [0, 0, 0, 3, 1, 1, 4, 0, 6, 0], [0, 0, 0, 3, 1, 1, 4, 1, 4, 1], [0, 0, 0, 3, 1, 1, 4, 2, 2, 2], [0, 0, 0, 3, 1, 1, 4, 3, 0, 3], [0, 0, 0, 3, 1, 1, 5, 0, 3, 2], [0, 0, 0, 3, 1, 1, 5, 1, 1, 3], [0, 0, 0, 3, 1, 1, 6, 0, 0, 4], [0, 0, 0, 3, 1, 2, 0, 5, 4, 0], [0, 0, 0, 3, 1, 2, 0, 6, 2, 1], [0, 0, 0, 3, 1, 2, 0, 7, 0, 2], [0, 0, 0, 3, 1, 2, 1, 3, 5, 0], [0, 0, 0, 3, 1, 2, 1, 4, 3, 1], [0, 0, 0, 3, 1, 2, 1, 5, 1, 2], [0, 0, 0, 3, 1, 2, 2, 1, 6, 0], [0, 0, 0, 3, 1, 2, 2, 2, 4, 1], [0, 0, 0, 3, 1, 2, 2, 3, 2, 2], [0, 0, 0, 3, 1, 2, 2, 4, 0, 3], [0, 0, 0, 3, 1, 2, 3, 0, 5, 1], [0, 0, 0, 3, 1, 2, 3, 1, 3, 2], [0, 0, 0, 3, 1, 2, 3, 2, 1, 3], [0, 0, 0, 3, 1, 2, 4, 0, 2, 3], [0, 0, 0, 3, 1, 2, 4, 1, 0, 4], [0, 0, 0, 3, 1, 3, 0, 2, 6, 0], [0, 0, 0, 3, 1, 3, 0, 3, 4, 1], [0, 0, 0, 3, 1, 3, 0, 4, 2, 2], [0, 0, 0, 3, 1, 3, 0, 5, 0, 3], [0, 0, 0, 3, 1, 3, 1, 0, 7, 0], [0, 0, 0, 3, 1, 3, 1, 1, 5, 1], [0, 0, 0, 3, 1, 3, 1, 2, 3, 2], [0, 0, 0, 3, 1, 3, 1, 3, 1, 3], [0, 0, 0, 3, 1, 3, 2, 0, 4, 2], [0, 0, 0, 3, 1, 3, 2, 1, 2, 3], [0, 0, 0, 3, 1, 3, 2, 2, 0, 4], [0, 0, 0, 3, 1, 3, 3, 0, 1, 4], [0, 0, 0, 3, 1, 4, 0, 0, 6, 1], [0, 0, 0, 3, 1, 4, 0, 1, 4, 2], [0, 0, 0, 3, 1, 4, 0, 2, 2, 3], [0, 0, 0, 3, 1, 4, 0, 3, 0, 4], [0, 0, 0, 3, 1, 4, 1, 0, 3, 3], [0, 0, 0, 3, 1, 4, 1, 1, 1, 4], [0, 0, 0, 3, 1, 4, 2, 0, 0, 5], [0, 0, 0, 3, 1, 5, 0, 0, 2, 4], [0, 0, 0, 3, 1, 5, 0, 1, 0, 5], [0, 0, 0, 3, 2, 0, 0, 7, 3, 0], [0, 0, 0, 3, 2, 0, 0, 8, 1, 1], [0, 0, 0, 3, 2, 0, 1, 5, 4, 0], [0, 0, 0, 3, 2, 0, 1, 6, 2, 1], [0, 0, 0, 3, 2, 0, 1, 7, 0, 2], [0, 0, 0, 3, 2, 0, 2, 3, 5, 0], [0, 0, 0, 3, 2, 0, 2, 4, 3, 1], [0, 0, 0, 3, 2, 0, 2, 5, 1, 2], [0, 0, 0, 3, 2, 0, 3, 1, 6, 0], [0, 0, 0, 3, 2, 0, 3, 2, 4, 1], [0, 0, 0, 3, 2, 0, 3, 3, 2, 2], [0, 0, 0, 3, 2, 0, 3, 4, 0, 3], [0, 0, 0, 3, 2, 0, 4, 0, 5, 1], [0, 0, 0, 3, 2, 0, 4, 1, 3, 2], [0, 0, 0, 3, 2, 0, 4, 2, 1, 3], [0, 0, 0, 3, 2, 0, 5, 0, 2, 3], [0, 0, 0, 3, 2, 0, 5, 1, 0, 4], [0, 0, 0, 3, 2, 1, 0, 4, 5, 0], [0, 0, 0, 3, 2, 1, 0, 5, 3, 1], [0, 0, 0, 3, 2, 1, 0, 6, 1, 2], [0, 0, 0, 3, 2, 1, 1, 2, 6, 0], [0, 0, 0, 3, 2, 1, 1, 3, 4, 1], [0, 0, 0, 3, 2, 1, 1, 4, 2, 2], [0, 0, 0, 3, 2, 1, 1, 5, 0, 3], [0, 0, 0, 3, 2, 1, 2, 0, 7, 0], [0, 0, 0, 3, 2, 1, 2, 1, 5, 1], [0, 0, 0, 3, 2, 1, 2, 2, 3, 2], [0, 0, 0, 3, 2, 1, 2, 3, 1, 3], [0, 0, 0, 3, 2, 1, 3, 0, 4, 2], [0, 0, 0, 3, 2, 1, 3, 1, 2, 3], [0, 0, 0, 3, 2, 1, 3, 2, 0, 4], [0, 0, 0, 3, 2, 1, 4, 0, 1, 4], [0, 0, 0, 3, 2, 2, 0, 1, 7, 0], [0, 0, 0, 3, 2, 2, 0, 2, 5, 1], [0, 0, 0, 3, 2, 2, 0, 3, 3, 2], [0, 0, 0, 3, 2, 2, 0, 4, 1, 3], [0, 0, 0, 3, 2, 2, 1, 0, 6, 1], [0, 0, 0, 3, 2, 2, 1, 1, 4, 2], [0, 0, 0, 3, 2, 2, 1, 2, 2, 3], [0, 0, 0, 3, 2, 2, 1, 3, 0, 4], [0, 0, 0, 3, 2, 2, 2, 0, 3, 3], [0, 0, 0, 3, 2, 2, 2, 1, 1, 4], [0, 0, 0, 3, 2, 2, 3, 0, 0, 5], [0, 0, 0, 3, 2, 3, 0, 0, 5, 2], [0, 0, 0, 3, 2, 3, 0, 1, 3, 3], [0, 0, 0, 3, 2, 3, 0, 2, 1, 4], [0, 0, 0, 3, 2, 3, 1, 0, 2, 4], [0, 0, 0, 3, 2, 3, 1, 1, 0, 5], [0, 0, 0, 3, 2, 4, 0, 0, 1, 5], [0, 0, 0, 3, 3, 0, 0, 3, 6, 0], [0, 0, 0, 3, 3, 0, 0, 4, 4, 1], [0, 0, 0, 3, 3, 0, 0, 5, 2, 2], [0, 0, 0, 3, 3, 0, 0, 6, 0, 3], [0, 0, 0, 3, 3, 0, 1, 1, 7, 0], [0, 0, 0, 3, 3, 0, 1, 2, 5, 1], [0, 0, 0, 3, 3, 0, 1, 3, 3, 2], [0, 0, 0, 3, 3, 0, 1, 4, 1, 3], [0, 0, 0, 3, 3, 0, 2, 0, 6, 1], [0, 0, 0, 3, 3, 0, 2, 1, 4, 2], [0, 0, 0, 3, 3, 0, 2, 2, 2, 3], [0, 0, 0, 3, 3, 0, 2, 3, 0, 4], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 3, 1, 1, 4], [0, 0, 0, 3, 3, 0, 4, 0, 0, 5], [0, 0, 0, 3, 3, 1, 0, 0, 8, 0], [0, 0, 0, 3, 3, 1, 0, 1, 6, 1], [0, 0, 0, 3, 3, 1, 0, 2, 4, 2], [0, 0, 0, 3, 3, 1, 0, 3, 2, 3], [0, 0, 0, 3, 3, 1, 0, 4, 0, 4], [0, 0, 0, 3, 3, 1, 1, 0, 5, 2], [0, 0, 0, 3, 3, 1, 1, 1, 3, 3], [0, 0, 0, 3, 3, 1, 1, 2, 1, 4], [0, 0, 0, 3, 3, 1, 2, 0, 2, 4], [0, 0, 0, 3, 3, 1, 2, 1, 0, 5], [0, 0, 0, 3, 3, 2, 0, 0, 4, 3], [0, 0, 0, 3, 3, 2, 0, 1, 2, 4], [0, 0, 0, 3, 3, 2, 0, 2, 0, 5], [0, 0, 0, 3, 3, 2, 1, 0, 1, 5], [0, 0, 0, 3, 3, 3, 0, 0, 0, 6], [0, 0, 0, 3, 4, 0, 0, 0, 7, 1], [0, 0, 0, 3, 4, 0, 0, 1, 5, 2], [0, 0, 0, 3, 4, 0, 0, 2, 3, 3], [0, 0, 0, 3, 4, 0, 0, 3, 1, 4], [0, 0, 0, 3, 4, 0, 1, 0, 4, 3], [0, 0, 0, 3, 4, 0, 1, 1, 2, 4], [0, 0, 0, 3, 4, 0, 1, 2, 0, 5], [0, 0, 0, 3, 4, 0, 2, 0, 1, 5], [0, 0, 0, 3, 4, 1, 0, 0, 3, 4], [0, 0, 0, 3, 4, 1, 0, 1, 1, 5], [0, 0, 0, 3, 4, 1, 1, 0, 0, 6], [0, 0, 0, 3, 5, 0, 0, 0, 2, 5], [0, 0, 0, 3, 5, 0, 0, 1, 0, 6], [0, 0, 0, 4, 0, 0, 0, 10, 1, 0], [0, 0, 0, 4, 0, 0, 1, 8, 2, 0], [0, 0, 0, 4, 0, 0, 1, 9, 0, 1], [0, 0, 0, 4, 0, 0, 2, 6, 3, 0], [0, 0, 0, 4, 0, 0, 2, 7, 1, 1], [0, 0, 0, 4, 0, 0, 3, 4, 4, 0], [0, 0, 0, 4, 0, 0, 3, 5, 2, 1], [0, 0, 0, 4, 0, 0, 3, 6, 0, 2], [0, 0, 0, 4, 0, 0, 4, 2, 5, 0], [0, 0, 0, 4, 0, 0, 4, 3, 3, 1], [0, 0, 0, 4, 0, 0, 4, 4, 1, 2], [0, 0, 0, 4, 0, 0, 5, 0, 6, 0], [0, 0, 0, 4, 0, 0, 5, 1, 4, 1], [0, 0, 0, 4, 0, 0, 5, 2, 2, 2], [0, 0, 0, 4, 0, 0, 5, 3, 0, 3], [0, 0, 0, 4, 0, 0, 6, 0, 3, 2], [0, 0, 0, 4, 0, 0, 6, 1, 1, 3], [0, 0, 0, 4, 0, 0, 7, 0, 0, 4], [0, 0, 0, 4, 0, 1, 0, 7, 3, 0], [0, 0, 0, 4, 0, 1, 0, 8, 1, 1], [0, 0, 0, 4, 0, 1, 1, 5, 4, 0], [0, 0, 0, 4, 0, 1, 1, 6, 2, 1], [0, 0, 0, 4, 0, 1, 1, 7, 0, 2], [0, 0, 0, 4, 0, 1, 2, 3, 5, 0], [0, 0, 0, 4, 0, 1, 2, 4, 3, 1], [0, 0, 0, 4, 0, 1, 2, 5, 1, 2], [0, 0, 0, 4, 0, 1, 3, 1, 6, 0], [0, 0, 0, 4, 0, 1, 3, 2, 4, 1], [0, 0, 0, 4, 0, 1, 3, 3, 2, 2], [0, 0, 0, 4, 0, 1, 3, 4, 0, 3], [0, 0, 0, 4, 0, 1, 4, 0, 5, 1], [0, 0, 0, 4, 0, 1, 4, 1, 3, 2], [0, 0, 0, 4, 0, 1, 4, 2, 1, 3], [0, 0, 0, 4, 0, 1, 5, 0, 2, 3], [0, 0, 0, 4, 0, 1, 5, 1, 0, 4], [0, 0, 0, 4, 0, 2, 0, 4, 5, 0], [0, 0, 0, 4, 0, 2, 0, 5, 3, 1], [0, 0, 0, 4, 0, 2, 0, 6, 1, 2], [0, 0, 0, 4, 0, 2, 1, 2, 6, 0], [0, 0, 0, 4, 0, 2, 1, 3, 4, 1], [0, 0, 0, 4, 0, 2, 1, 4, 2, 2], [0, 0, 0, 4, 0, 2, 1, 5, 0, 3], [0, 0, 0, 4, 0, 2, 2, 0, 7, 0], [0, 0, 0, 4, 0, 2, 2, 1, 5, 1], [0, 0, 0, 4, 0, 2, 2, 2, 3, 2], [0, 0, 0, 4, 0, 2, 2, 3, 1, 3], [0, 0, 0, 4, 0, 2, 3, 0, 4, 2], [0, 0, 0, 4, 0, 2, 3, 1, 2, 3], [0, 0, 0, 4, 0, 2, 3, 2, 0, 4], [0, 0, 0, 4, 0, 2, 4, 0, 1, 4], [0, 0, 0, 4, 0, 3, 0, 1, 7, 0], [0, 0, 0, 4, 0, 3, 0, 2, 5, 1], [0, 0, 0, 4, 0, 3, 0, 3, 3, 2], [0, 0, 0, 4, 0, 3, 0, 4, 1, 3], [0, 0, 0, 4, 0, 3, 1, 0, 6, 1], [0, 0, 0, 4, 0, 3, 1, 1, 4, 2], [0, 0, 0, 4, 0, 3, 1, 2, 2, 3], [0, 0, 0, 4, 0, 3, 1, 3, 0, 4], [0, 0, 0, 4, 0, 3, 2, 0, 3, 3], [0, 0, 0, 4, 0, 3, 2, 1, 1, 4], [0, 0, 0, 4, 0, 3, 3, 0, 0, 5], [0, 0, 0, 4, 0, 4, 0, 0, 5, 2], [0, 0, 0, 4, 0, 4, 0, 1, 3, 3], [0, 0, 0, 4, 0, 4, 0, 2, 1, 4], [0, 0, 0, 4, 0, 4, 1, 0, 2, 4], [0, 0, 0, 4, 0, 4, 1, 1, 0, 5], [0, 0, 0, 4, 0, 5, 0, 0, 1, 5], [0, 0, 0, 4, 1, 0, 0, 6, 4, 0], [0, 0, 0, 4, 1, 0, 0, 7, 2, 1], [0, 0, 0, 4, 1, 0, 0, 8, 0, 2], [0, 0, 0, 4, 1, 0, 1, 4, 5, 0], [0, 0, 0, 4, 1, 0, 1, 5, 3, 1], [0, 0, 0, 4, 1, 0, 1, 6, 1, 2], [0, 0, 0, 4, 1, 0, 2, 2, 6, 0], [0, 0, 0, 4, 1, 0, 2, 3, 4, 1], [0, 0, 0, 4, 1, 0, 2, 4, 2, 2], [0, 0, 0, 4, 1, 0, 2, 5, 0, 3], [0, 0, 0, 4, 1, 0, 3, 0, 7, 0], [0, 0, 0, 4, 1, 0, 3, 1, 5, 1], [0, 0, 0, 4, 1, 0, 3, 2, 3, 2], [0, 0, 0, 4, 1, 0, 3, 3, 1, 3], [0, 0, 0, 4, 1, 0, 4, 0, 4, 2], [0, 0, 0, 4, 1, 0, 4, 1, 2, 3], [0, 0, 0, 4, 1, 0, 4, 2, 0, 4], [0, 0, 0, 4, 1, 0, 5, 0, 1, 4], [0, 0, 0, 4, 1, 1, 0, 3, 6, 0], [0, 0, 0, 4, 1, 1, 0, 4, 4, 1], [0, 0, 0, 4, 1, 1, 0, 5, 2, 2], [0, 0, 0, 4, 1, 1, 0, 6, 0, 3], [0, 0, 0, 4, 1, 1, 1, 1, 7, 0], [0, 0, 0, 4, 1, 1, 1, 2, 5, 1], [0, 0, 0, 4, 1, 1, 1, 3, 3, 2], [0, 0, 0, 4, 1, 1, 1, 4, 1, 3], [0, 0, 0, 4, 1, 1, 2, 0, 6, 1], [0, 0, 0, 4, 1, 1, 2, 1, 4, 2], [0, 0, 0, 4, 1, 1, 2, 2, 2, 3], [0, 0, 0, 4, 1, 1, 2, 3, 0, 4], [0, 0, 0, 4, 1, 1, 3, 0, 3, 3], [0, 0, 0, 4, 1, 1, 3, 1, 1, 4], [0, 0, 0, 4, 1, 1, 4, 0, 0, 5], [0, 0, 0, 4, 1, 2, 0, 0, 8, 0], [0, 0, 0, 4, 1, 2, 0, 1, 6, 1], [0, 0, 0, 4, 1, 2, 0, 2, 4, 2], [0, 0, 0, 4, 1, 2, 0, 3, 2, 3], [0, 0, 0, 4, 1, 2, 0, 4, 0, 4], [0, 0, 0, 4, 1, 2, 1, 0, 5, 2], [0, 0, 0, 4, 1, 2, 1, 1, 3, 3], [0, 0, 0, 4, 1, 2, 1, 2, 1, 4], [0, 0, 0, 4, 1, 2, 2, 0, 2, 4], [0, 0, 0, 4, 1, 2, 2, 1, 0, 5], [0, 0, 0, 4, 1, 3, 0, 0, 4, 3], [0, 0, 0, 4, 1, 3, 0, 1, 2, 4], [0, 0, 0, 4, 1, 3, 0, 2, 0, 5], [0, 0, 0, 4, 1, 3, 1, 0, 1, 5], [0, 0, 0, 4, 1, 4, 0, 0, 0, 6], [0, 0, 0, 4, 2, 0, 0, 2, 7, 0], [0, 0, 0, 4, 2, 0, 0, 3, 5, 1], [0, 0, 0, 4, 2, 0, 0, 4, 3, 2], [0, 0, 0, 4, 2, 0, 0, 5, 1, 3], [0, 0, 0, 4, 2, 0, 1, 0, 8, 0], [0, 0, 0, 4, 2, 0, 1, 1, 6, 1], [0, 0, 0, 4, 2, 0, 1, 2, 4, 2], [0, 0, 0, 4, 2, 0, 1, 3, 2, 3], [0, 0, 0, 4, 2, 0, 1, 4, 0, 4], [0, 0, 0, 4, 2, 0, 2, 0, 5, 2], [0, 0, 0, 4, 2, 0, 2, 1, 3, 3], [0, 0, 0, 4, 2, 0, 2, 2, 1, 4], [0, 0, 0, 4, 2, 0, 3, 0, 2, 4], [0, 0, 0, 4, 2, 0, 3, 1, 0, 5], [0, 0, 0, 4, 2, 1, 0, 0, 7, 1], [0, 0, 0, 4, 2, 1, 0, 1, 5, 2], [0, 0, 0, 4, 2, 1, 0, 2, 3, 3], [0, 0, 0, 4, 2, 1, 0, 3, 1, 4], [0, 0, 0, 4, 2, 1, 1, 0, 4, 3], [0, 0, 0, 4, 2, 1, 1, 1, 2, 4], [0, 0, 0, 4, 2, 1, 1, 2, 0, 5], [0, 0, 0, 4, 2, 1, 2, 0, 1, 5], [0, 0, 0, 4, 2, 2, 0, 0, 3, 4], [0, 0, 0, 4, 2, 2, 0, 1, 1, 5], [0, 0, 0, 4, 2, 2, 1, 0, 0, 6], [0, 0, 0, 4, 3, 0, 0, 0, 6, 2], [0, 0, 0, 4, 3, 0, 0, 1, 4, 3], [0, 0, 0, 4, 3, 0, 0, 2, 2, 4], [0, 0, 0, 4, 3, 0, 0, 3, 0, 5], [0, 0, 0, 4, 3, 0, 1, 0, 3, 4], [0, 0, 0, 4, 3, 0, 1, 1, 1, 5], [0, 0, 0, 4, 3, 0, 2, 0, 0, 6], [0, 0, 0, 4, 3, 1, 0, 0, 2, 5], [0, 0, 0, 4, 3, 1, 0, 1, 0, 6], [0, 0, 0, 4, 4, 0, 0, 0, 1, 6], [0, 0, 0, 5, 0, 0, 0, 5, 5, 0], [0, 0, 0, 5, 0, 0, 0, 6, 3, 1], [0, 0, 0, 5, 0, 0, 0, 7, 1, 2], [0, 0, 0, 5, 0, 0, 1, 3, 6, 0], [0, 0, 0, 5, 0, 0, 1, 4, 4, 1], [0, 0, 0, 5, 0, 0, 1, 5, 2, 2], [0, 0, 0, 5, 0, 0, 1, 6, 0, 3], [0, 0, 0, 5, 0, 0, 2, 1, 7, 0], [0, 0, 0, 5, 0, 0, 2, 2, 5, 1], [0, 0, 0, 5, 0, 0, 2, 3, 3, 2], [0, 0, 0, 5, 0, 0, 2, 4, 1, 3], [0, 0, 0, 5, 0, 0, 3, 0, 6, 1], [0, 0, 0, 5, 0, 0, 3, 1, 4, 2], [0, 0, 0, 5, 0, 0, 3, 2, 2, 3], [0, 0, 0, 5, 0, 0, 3, 3, 0, 4], [0, 0, 0, 5, 0, 0, 4, 0, 3, 3], [0, 0, 0, 5, 0, 0, 4, 1, 1, 4], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 0, 1, 0, 2, 7, 0], [0, 0, 0, 5, 0, 1, 0, 3, 5, 1], [0, 0, 0, 5, 0, 1, 0, 4, 3, 2], [0, 0, 0, 5, 0, 1, 0, 5, 1, 3], [0, 0, 0, 5, 0, 1, 1, 0, 8, 0], [0, 0, 0, 5, 0, 1, 1, 1, 6, 1], [0, 0, 0, 5, 0, 1, 1, 2, 4, 2], [0, 0, 0, 5, 0, 1, 1, 3, 2, 3], [0, 0, 0, 5, 0, 1, 1, 4, 0, 4], [0, 0, 0, 5, 0, 1, 2, 0, 5, 2], [0, 0, 0, 5, 0, 1, 2, 1, 3, 3], [0, 0, 0, 5, 0, 1, 2, 2, 1, 4], [0, 0, 0, 5, 0, 1, 3, 0, 2, 4], [0, 0, 0, 5, 0, 1, 3, 1, 0, 5], [0, 0, 0, 5, 0, 2, 0, 0, 7, 1], [0, 0, 0, 5, 0, 2, 0, 1, 5, 2], [0, 0, 0, 5, 0, 2, 0, 2, 3, 3], [0, 0, 0, 5, 0, 2, 0, 3, 1, 4], [0, 0, 0, 5, 0, 2, 1, 0, 4, 3], [0, 0, 0, 5, 0, 2, 1, 1, 2, 4], [0, 0, 0, 5, 0, 2, 1, 2, 0, 5], [0, 0, 0, 5, 0, 2, 2, 0, 1, 5], [0, 0, 0, 5, 0, 3, 0, 0, 3, 4], [0, 0, 0, 5, 0, 3, 0, 1, 1, 5], [0, 0, 0, 5, 0, 3, 1, 0, 0, 6], [0, 0, 0, 5, 1, 0, 0, 1, 8, 0], [0, 0, 0, 5, 1, 0, 0, 2, 6, 1], [0, 0, 0, 5, 1, 0, 0, 3, 4, 2], [0, 0, 0, 5, 1, 0, 0, 4, 2, 3], [0, 0, 0, 5, 1, 0, 0, 5, 0, 4], [0, 0, 0, 5, 1, 0, 1, 0, 7, 1], [0, 0, 0, 5, 1, 0, 1, 1, 5, 2], [0, 0, 0, 5, 1, 0, 1, 2, 3, 3], [0, 0, 0, 5, 1, 0, 1, 3, 1, 4], [0, 0, 0, 5, 1, 0, 2, 0, 4, 3], [0, 0, 0, 5, 1, 0, 2, 1, 2, 4], [0, 0, 0, 5, 1, 0, 2, 2, 0, 5], [0, 0, 0, 5, 1, 0, 3, 0, 1, 5], [0, 0, 0, 5, 1, 1, 0, 0, 6, 2], [0, 0, 0, 5, 1, 1, 0, 1, 4, 3], [0, 0, 0, 5, 1, 1, 0, 2, 2, 4], [0, 0, 0, 5, 1, 1, 0, 3, 0, 5], [0, 0, 0, 5, 1, 1, 1, 0, 3, 4], [0, 0, 0, 5, 1, 1, 1, 1, 1, 5], [0, 0, 0, 5, 1, 1, 2, 0, 0, 6], [0, 0, 0, 5, 1, 2, 0, 0, 2, 5], [0, 0, 0, 5, 1, 2, 0, 1, 0, 6], [0, 0, 0, 5, 2, 0, 0, 0, 5, 3], [0, 0, 0, 5, 2, 0, 0, 1, 3, 4], [0, 0, 0, 5, 2, 0, 0, 2, 1, 5], [0, 0, 0, 5, 2, 0, 1, 0, 2, 5], [0, 0, 0, 5, 2, 0, 1, 1, 0, 6], [0, 0, 0, 5, 2, 1, 0, 0, 1, 6], [0, 0, 0, 5, 3, 0, 0, 0, 0, 7], [0, 0, 0, 6, 0, 0, 0, 0, 9, 0], [0, 0, 0, 6, 0, 0, 0, 1, 7, 1], [0, 0, 0, 6, 0, 0, 0, 2, 5, 2], [0, 0, 0, 6, 0, 0, 0, 3, 3, 3], [0, 0, 0, 6, 0, 0, 0, 4, 1, 4], [0, 0, 0, 6, 0, 0, 1, 0, 6, 2], [0, 0, 0, 6, 0, 0, 1, 1, 4, 3], [0, 0, 0, 6, 0, 0, 1, 2, 2, 4], [0, 0, 0, 6, 0, 0, 1, 3, 0, 5], [0, 0, 0, 6, 0, 0, 2, 0, 3, 4], [0, 0, 0, 6, 0, 0, 2, 1, 1, 5], [0, 0, 0, 6, 0, 0, 3, 0, 0, 6], [0, 0, 0, 6, 0, 1, 0, 0, 5, 3], [0, 0, 0, 6, 0, 1, 0, 1, 3, 4], [0, 0, 0, 6, 0, 1, 0, 2, 1, 5], [0, 0, 0, 6, 0, 1, 1, 0, 2, 5], [0, 0, 0, 6, 0, 1, 1, 1, 0, 6], [0, 0, 0, 6, 0, 2, 0, 0, 1, 6], [0, 0, 0, 6, 1, 0, 0, 0, 4, 4], [0, 0, 0, 6, 1, 0, 0, 1, 2, 5], [0, 0, 0, 6, 1, 0, 0, 2, 0, 6], [0, 0, 0, 6, 1, 0, 1, 0, 1, 6], [0, 0, 0, 6, 1, 1, 0, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 3, 5], [0, 0, 0, 7, 0, 0, 0, 1, 1, 6], [0, 0, 0, 7, 0, 0, 1, 0, 0, 7], [0, 0, 1, 0, 0, 0, 10, 4, 0, 0], [0, 0, 1, 0, 0, 0, 11, 2, 1, 0], [0, 0, 1, 0, 0, 0, 12, 0, 2, 0], [0, 0, 1, 0, 0, 0, 12, 1, 0, 1], [0, 0, 1, 0, 0, 1, 8, 5, 0, 0], [0, 0, 1, 0, 0, 1, 9, 3, 1, 0], [0, 0, 1, 0, 0, 1, 10, 1, 2, 0], [0, 0, 1, 0, 0, 1, 10, 2, 0, 1], [0, 0, 1, 0, 0, 1, 11, 0, 1, 1], [0, 0, 1, 0, 0, 2, 6, 6, 0, 0], [0, 0, 1, 0, 0, 2, 7, 4, 1, 0], [0, 0, 1, 0, 0, 2, 8, 2, 2, 0], [0, 0, 1, 0, 0, 2, 8, 3, 0, 1], [0, 0, 1, 0, 0, 2, 9, 0, 3, 0], [0, 0, 1, 0, 0, 2, 9, 1, 1, 1], [0, 0, 1, 0, 0, 2, 10, 0, 0, 2], [0, 0, 1, 0, 0, 3, 4, 7, 0, 0], [0, 0, 1, 0, 0, 3, 5, 5, 1, 0], [0, 0, 1, 0, 0, 3, 6, 3, 2, 0], [0, 0, 1, 0, 0, 3, 6, 4, 0, 1], [0, 0, 1, 0, 0, 3, 7, 1, 3, 0], [0, 0, 1, 0, 0, 3, 7, 2, 1, 1], [0, 0, 1, 0, 0, 3, 8, 0, 2, 1], [0, 0, 1, 0, 0, 3, 8, 1, 0, 2], [0, 0, 1, 0, 0, 4, 2, 8, 0, 0], [0, 0, 1, 0, 0, 4, 3, 6, 1, 0], [0, 0, 1, 0, 0, 4, 4, 4, 2, 0], [0, 0, 1, 0, 0, 4, 4, 5, 0, 1], [0, 0, 1, 0, 0, 4, 5, 2, 3, 0], [0, 0, 1, 0, 0, 4, 5, 3, 1, 1], [0, 0, 1, 0, 0, 4, 6, 0, 4, 0], [0, 0, 1, 0, 0, 4, 6, 1, 2, 1], [0, 0, 1, 0, 0, 4, 6, 2, 0, 2], [0, 0, 1, 0, 0, 4, 7, 0, 1, 2], [0, 0, 1, 0, 0, 5, 0, 9, 0, 0], [0, 0, 1, 0, 0, 5, 1, 7, 1, 0], [0, 0, 1, 0, 0, 5, 2, 5, 2, 0], [0, 0, 1, 0, 0, 5, 2, 6, 0, 1], [0, 0, 1, 0, 0, 5, 3, 3, 3, 0], [0, 0, 1, 0, 0, 5, 3, 4, 1, 1], [0, 0, 1, 0, 0, 5, 4, 1, 4, 0], [0, 0, 1, 0, 0, 5, 4, 2, 2, 1], [0, 0, 1, 0, 0, 5, 4, 3, 0, 2], [0, 0, 1, 0, 0, 5, 5, 0, 3, 1], [0, 0, 1, 0, 0, 5, 5, 1, 1, 2], [0, 0, 1, 0, 0, 5, 6, 0, 0, 3], [0, 0, 1, 0, 0, 6, 0, 6, 2, 0], [0, 0, 1, 0, 0, 6, 0, 7, 0, 1], [0, 0, 1, 0, 0, 6, 1, 4, 3, 0], [0, 0, 1, 0, 0, 6, 1, 5, 1, 1], [0, 0, 1, 0, 0, 6, 2, 2, 4, 0], [0, 0, 1, 0, 0, 6, 2, 3, 2, 1], [0, 0, 1, 0, 0, 6, 2, 4, 0, 2], [0, 0, 1, 0, 0, 6, 3, 0, 5, 0], [0, 0, 1, 0, 0, 6, 3, 1, 3, 1], [0, 0, 1, 0, 0, 6, 3, 2, 1, 2], [0, 0, 1, 0, 0, 6, 4, 0, 2, 2], [0, 0, 1, 0, 0, 6, 4, 1, 0, 3], [0, 0, 1, 0, 0, 7, 0, 3, 4, 0], [0, 0, 1, 0, 0, 7, 0, 4, 2, 1], [0, 0, 1, 0, 0, 7, 0, 5, 0, 2], [0, 0, 1, 0, 0, 7, 1, 1, 5, 0], [0, 0, 1, 0, 0, 7, 1, 2, 3, 1], [0, 0, 1, 0, 0, 7, 1, 3, 1, 2], [0, 0, 1, 0, 0, 7, 2, 0, 4, 1], [0, 0, 1, 0, 0, 7, 2, 1, 2, 2], [0, 0, 1, 0, 0, 7, 2, 2, 0, 3], [0, 0, 1, 0, 0, 7, 3, 0, 1, 3], [0, 0, 1, 0, 0, 8, 0, 0, 6, 0], [0, 0, 1, 0, 0, 8, 0, 1, 4, 1], [0, 0, 1, 0, 0, 8, 0, 2, 2, 2], [0, 0, 1, 0, 0, 8, 0, 3, 0, 3], [0, 0, 1, 0, 0, 8, 1, 0, 3, 2], [0, 0, 1, 0, 0, 8, 1, 1, 1, 3], [0, 0, 1, 0, 0, 8, 2, 0, 0, 4], [0, 0, 1, 0, 0, 9, 0, 0, 2, 3], [0, 0, 1, 0, 0, 9, 0, 1, 0, 4], [0, 0, 1, 0, 1, 0, 7, 6, 0, 0], [0, 0, 1, 0, 1, 0, 8, 4, 1, 0], [0, 0, 1, 0, 1, 0, 9, 2, 2, 0], [0, 0, 1, 0, 1, 0, 9, 3, 0, 1], [0, 0, 1, 0, 1, 0, 10, 0, 3, 0], [0, 0, 1, 0, 1, 0, 10, 1, 1, 1], [0, 0, 1, 0, 1, 0, 11, 0, 0, 2], [0, 0, 1, 0, 1, 1, 5, 7, 0, 0], [0, 0, 1, 0, 1, 1, 6, 5, 1, 0], [0, 0, 1, 0, 1, 1, 7, 3, 2, 0], [0, 0, 1, 0, 1, 1, 7, 4, 0, 1], [0, 0, 1, 0, 1, 1, 8, 1, 3, 0], [0, 0, 1, 0, 1, 1, 8, 2, 1, 1], [0, 0, 1, 0, 1, 1, 9, 0, 2, 1], [0, 0, 1, 0, 1, 1, 9, 1, 0, 2], [0, 0, 1, 0, 1, 2, 3, 8, 0, 0], [0, 0, 1, 0, 1, 2, 4, 6, 1, 0], [0, 0, 1, 0, 1, 2, 5, 4, 2, 0], [0, 0, 1, 0, 1, 2, 5, 5, 0, 1], [0, 0, 1, 0, 1, 2, 6, 2, 3, 0], [0, 0, 1, 0, 1, 2, 6, 3, 1, 1], [0, 0, 1, 0, 1, 2, 7, 0, 4, 0], [0, 0, 1, 0, 1, 2, 7, 1, 2, 1], [0, 0, 1, 0, 1, 2, 7, 2, 0, 2], [0, 0, 1, 0, 1, 2, 8, 0, 1, 2], [0, 0, 1, 0, 1, 3, 1, 9, 0, 0], [0, 0, 1, 0, 1, 3, 2, 7, 1, 0], [0, 0, 1, 0, 1, 3, 3, 5, 2, 0], [0, 0, 1, 0, 1, 3, 3, 6, 0, 1], [0, 0, 1, 0, 1, 3, 4, 3, 3, 0], [0, 0, 1, 0, 1, 3, 4, 4, 1, 1], [0, 0, 1, 0, 1, 3, 5, 1, 4, 0], [0, 0, 1, 0, 1, 3, 5, 2, 2, 1], [0, 0, 1, 0, 1, 3, 5, 3, 0, 2], [0, 0, 1, 0, 1, 3, 6, 0, 3, 1], [0, 0, 1, 0, 1, 3, 6, 1, 1, 2], [0, 0, 1, 0, 1, 3, 7, 0, 0, 3], [0, 0, 1, 0, 1, 4, 0, 8, 1, 0], [0, 0, 1, 0, 1, 4, 1, 6, 2, 0], [0, 0, 1, 0, 1, 4, 1, 7, 0, 1], [0, 0, 1, 0, 1, 4, 2, 4, 3, 0], [0, 0, 1, 0, 1, 4, 2, 5, 1, 1], [0, 0, 1, 0, 1, 4, 3, 2, 4, 0], [0, 0, 1, 0, 1, 4, 3, 3, 2, 1], [0, 0, 1, 0, 1, 4, 3, 4, 0, 2], [0, 0, 1, 0, 1, 4, 4, 0, 5, 0], [0, 0, 1, 0, 1, 4, 4, 1, 3, 1], [0, 0, 1, 0, 1, 4, 4, 2, 1, 2], [0, 0, 1, 0, 1, 4, 5, 0, 2, 2], [0, 0, 1, 0, 1, 4, 5, 1, 0, 3], [0, 0, 1, 0, 1, 5, 0, 5, 3, 0], [0, 0, 1, 0, 1, 5, 0, 6, 1, 1], [0, 0, 1, 0, 1, 5, 1, 3, 4, 0], [0, 0, 1, 0, 1, 5, 1, 4, 2, 1], [0, 0, 1, 0, 1, 5, 1, 5, 0, 2], [0, 0, 1, 0, 1, 5, 2, 1, 5, 0], [0, 0, 1, 0, 1, 5, 2, 2, 3, 1], [0, 0, 1, 0, 1, 5, 2, 3, 1, 2], [0, 0, 1, 0, 1, 5, 3, 0, 4, 1], [0, 0, 1, 0, 1, 5, 3, 1, 2, 2], [0, 0, 1, 0, 1, 5, 3, 2, 0, 3], [0, 0, 1, 0, 1, 5, 4, 0, 1, 3], [0, 0, 1, 0, 1, 6, 0, 2, 5, 0], [0, 0, 1, 0, 1, 6, 0, 3, 3, 1], [0, 0, 1, 0, 1, 6, 0, 4, 1, 2], [0, 0, 1, 0, 1, 6, 1, 0, 6, 0], [0, 0, 1, 0, 1, 6, 1, 1, 4, 1], [0, 0, 1, 0, 1, 6, 1, 2, 2, 2], [0, 0, 1, 0, 1, 6, 1, 3, 0, 3], [0, 0, 1, 0, 1, 6, 2, 0, 3, 2], [0, 0, 1, 0, 1, 6, 2, 1, 1, 3], [0, 0, 1, 0, 1, 6, 3, 0, 0, 4], [0, 0, 1, 0, 1, 7, 0, 0, 5, 1], [0, 0, 1, 0, 1, 7, 0, 1, 3, 2], [0, 0, 1, 0, 1, 7, 0, 2, 1, 3], [0, 0, 1, 0, 1, 7, 1, 0, 2, 3], [0, 0, 1, 0, 1, 7, 1, 1, 0, 4], [0, 0, 1, 0, 1, 8, 0, 0, 1, 4], [0, 0, 1, 0, 2, 0, 4, 8, 0, 0], [0, 0, 1, 0, 2, 0, 5, 6, 1, 0], [0, 0, 1, 0, 2, 0, 6, 4, 2, 0], [0, 0, 1, 0, 2, 0, 6, 5, 0, 1], [0, 0, 1, 0, 2, 0, 7, 2, 3, 0], [0, 0, 1, 0, 2, 0, 7, 3, 1, 1], [0, 0, 1, 0, 2, 0, 8, 0, 4, 0], [0, 0, 1, 0, 2, 0, 8, 1, 2, 1], [0, 0, 1, 0, 2, 0, 8, 2, 0, 2], [0, 0, 1, 0, 2, 0, 9, 0, 1, 2], [0, 0, 1, 0, 2, 1, 2, 9, 0, 0], [0, 0, 1, 0, 2, 1, 3, 7, 1, 0], [0, 0, 1, 0, 2, 1, 4, 5, 2, 0], [0, 0, 1, 0, 2, 1, 4, 6, 0, 1], [0, 0, 1, 0, 2, 1, 5, 3, 3, 0], [0, 0, 1, 0, 2, 1, 5, 4, 1, 1], [0, 0, 1, 0, 2, 1, 6, 1, 4, 0], [0, 0, 1, 0, 2, 1, 6, 2, 2, 1], [0, 0, 1, 0, 2, 1, 6, 3, 0, 2], [0, 0, 1, 0, 2, 1, 7, 0, 3, 1], [0, 0, 1, 0, 2, 1, 7, 1, 1, 2], [0, 0, 1, 0, 2, 1, 8, 0, 0, 3], [0, 0, 1, 0, 2, 2, 0, 10, 0, 0], [0, 0, 1, 0, 2, 2, 1, 8, 1, 0], [0, 0, 1, 0, 2, 2, 2, 6, 2, 0], [0, 0, 1, 0, 2, 2, 2, 7, 0, 1], [0, 0, 1, 0, 2, 2, 3, 4, 3, 0], [0, 0, 1, 0, 2, 2, 3, 5, 1, 1], [0, 0, 1, 0, 2, 2, 4, 2, 4, 0], [0, 0, 1, 0, 2, 2, 4, 3, 2, 1], [0, 0, 1, 0, 2, 2, 4, 4, 0, 2], [0, 0, 1, 0, 2, 2, 5, 0, 5, 0], [0, 0, 1, 0, 2, 2, 5, 1, 3, 1], [0, 0, 1, 0, 2, 2, 5, 2, 1, 2], [0, 0, 1, 0, 2, 2, 6, 0, 2, 2], [0, 0, 1, 0, 2, 2, 6, 1, 0, 3], [0, 0, 1, 0, 2, 3, 0, 7, 2, 0], [0, 0, 1, 0, 2, 3, 0, 8, 0, 1], [0, 0, 1, 0, 2, 3, 1, 5, 3, 0], [0, 0, 1, 0, 2, 3, 1, 6, 1, 1], [0, 0, 1, 0, 2, 3, 2, 3, 4, 0], [0, 0, 1, 0, 2, 3, 2, 4, 2, 1], [0, 0, 1, 0, 2, 3, 2, 5, 0, 2], [0, 0, 1, 0, 2, 3, 3, 1, 5, 0], [0, 0, 1, 0, 2, 3, 3, 2, 3, 1], [0, 0, 1, 0, 2, 3, 3, 3, 1, 2], [0, 0, 1, 0, 2, 3, 4, 0, 4, 1], [0, 0, 1, 0, 2, 3, 4, 1, 2, 2], [0, 0, 1, 0, 2, 3, 4, 2, 0, 3], [0, 0, 1, 0, 2, 3, 5, 0, 1, 3], [0, 0, 1, 0, 2, 4, 0, 4, 4, 0], [0, 0, 1, 0, 2, 4, 0, 5, 2, 1], [0, 0, 1, 0, 2, 4, 0, 6, 0, 2], [0, 0, 1, 0, 2, 4, 1, 2, 5, 0], [0, 0, 1, 0, 2, 4, 1, 3, 3, 1], [0, 0, 1, 0, 2, 4, 1, 4, 1, 2], [0, 0, 1, 0, 2, 4, 2, 0, 6, 0], [0, 0, 1, 0, 2, 4, 2, 1, 4, 1], [0, 0, 1, 0, 2, 4, 2, 2, 2, 2], [0, 0, 1, 0, 2, 4, 2, 3, 0, 3], [0, 0, 1, 0, 2, 4, 3, 0, 3, 2], [0, 0, 1, 0, 2, 4, 3, 1, 1, 3], [0, 0, 1, 0, 2, 4, 4, 0, 0, 4], [0, 0, 1, 0, 2, 5, 0, 1, 6, 0], [0, 0, 1, 0, 2, 5, 0, 2, 4, 1], [0, 0, 1, 0, 2, 5, 0, 3, 2, 2], [0, 0, 1, 0, 2, 5, 0, 4, 0, 3], [0, 0, 1, 0, 2, 5, 1, 0, 5, 1], [0, 0, 1, 0, 2, 5, 1, 1, 3, 2], [0, 0, 1, 0, 2, 5, 1, 2, 1, 3], [0, 0, 1, 0, 2, 5, 2, 0, 2, 3], [0, 0, 1, 0, 2, 5, 2, 1, 0, 4], [0, 0, 1, 0, 2, 6, 0, 0, 4, 2], [0, 0, 1, 0, 2, 6, 0, 1, 2, 3], [0, 0, 1, 0, 2, 6, 0, 2, 0, 4], [0, 0, 1, 0, 2, 6, 1, 0, 1, 4], [0, 0, 1, 0, 2, 7, 0, 0, 0, 5], [0, 0, 1, 0, 3, 0, 1, 10, 0, 0], [0, 0, 1, 0, 3, 0, 2, 8, 1, 0], [0, 0, 1, 0, 3, 0, 3, 6, 2, 0], [0, 0, 1, 0, 3, 0, 3, 7, 0, 1], [0, 0, 1, 0, 3, 0, 4, 4, 3, 0], [0, 0, 1, 0, 3, 0, 4, 5, 1, 1], [0, 0, 1, 0, 3, 0, 5, 2, 4, 0], [0, 0, 1, 0, 3, 0, 5, 3, 2, 1], [0, 0, 1, 0, 3, 0, 5, 4, 0, 2], [0, 0, 1, 0, 3, 0, 6, 0, 5, 0], [0, 0, 1, 0, 3, 0, 6, 1, 3, 1], [0, 0, 1, 0, 3, 0, 6, 2, 1, 2], [0, 0, 1, 0, 3, 0, 7, 0, 2, 2], [0, 0, 1, 0, 3, 0, 7, 1, 0, 3], [0, 0, 1, 0, 3, 1, 0, 9, 1, 0], [0, 0, 1, 0, 3, 1, 1, 7, 2, 0], [0, 0, 1, 0, 3, 1, 1, 8, 0, 1], [0, 0, 1, 0, 3, 1, 2, 5, 3, 0], [0, 0, 1, 0, 3, 1, 2, 6, 1, 1], [0, 0, 1, 0, 3, 1, 3, 3, 4, 0], [0, 0, 1, 0, 3, 1, 3, 4, 2, 1], [0, 0, 1, 0, 3, 1, 3, 5, 0, 2], [0, 0, 1, 0, 3, 1, 4, 1, 5, 0], [0, 0, 1, 0, 3, 1, 4, 2, 3, 1], [0, 0, 1, 0, 3, 1, 4, 3, 1, 2], [0, 0, 1, 0, 3, 1, 5, 0, 4, 1], [0, 0, 1, 0, 3, 1, 5, 1, 2, 2], [0, 0, 1, 0, 3, 1, 5, 2, 0, 3], [0, 0, 1, 0, 3, 1, 6, 0, 1, 3], [0, 0, 1, 0, 3, 2, 0, 6, 3, 0], [0, 0, 1, 0, 3, 2, 0, 7, 1, 1], [0, 0, 1, 0, 3, 2, 1, 4, 4, 0], [0, 0, 1, 0, 3, 2, 1, 5, 2, 1], [0, 0, 1, 0, 3, 2, 1, 6, 0, 2], [0, 0, 1, 0, 3, 2, 2, 2, 5, 0], [0, 0, 1, 0, 3, 2, 2, 3, 3, 1], [0, 0, 1, 0, 3, 2, 2, 4, 1, 2], [0, 0, 1, 0, 3, 2, 3, 0, 6, 0], [0, 0, 1, 0, 3, 2, 3, 1, 4, 1], [0, 0, 1, 0, 3, 2, 3, 2, 2, 2], [0, 0, 1, 0, 3, 2, 3, 3, 0, 3], [0, 0, 1, 0, 3, 2, 4, 0, 3, 2], [0, 0, 1, 0, 3, 2, 4, 1, 1, 3], [0, 0, 1, 0, 3, 2, 5, 0, 0, 4], [0, 0, 1, 0, 3, 3, 0, 3, 5, 0], [0, 0, 1, 0, 3, 3, 0, 4, 3, 1], [0, 0, 1, 0, 3, 3, 0, 5, 1, 2], [0, 0, 1, 0, 3, 3, 1, 1, 6, 0], [0, 0, 1, 0, 3, 3, 1, 2, 4, 1], [0, 0, 1, 0, 3, 3, 1, 3, 2, 2], [0, 0, 1, 0, 3, 3, 1, 4, 0, 3], [0, 0, 1, 0, 3, 3, 2, 0, 5, 1], [0, 0, 1, 0, 3, 3, 2, 1, 3, 2], [0, 0, 1, 0, 3, 3, 2, 2, 1, 3], [0, 0, 1, 0, 3, 3, 3, 0, 2, 3], [0, 0, 1, 0, 3, 3, 3, 1, 0, 4], [0, 0, 1, 0, 3, 4, 0, 0, 7, 0], [0, 0, 1, 0, 3, 4, 0, 1, 5, 1], [0, 0, 1, 0, 3, 4, 0, 2, 3, 2], [0, 0, 1, 0, 3, 4, 0, 3, 1, 3], [0, 0, 1, 0, 3, 4, 1, 0, 4, 2], [0, 0, 1, 0, 3, 4, 1, 1, 2, 3], [0, 0, 1, 0, 3, 4, 1, 2, 0, 4], [0, 0, 1, 0, 3, 4, 2, 0, 1, 4], [0, 0, 1, 0, 3, 5, 0, 0, 3, 3], [0, 0, 1, 0, 3, 5, 0, 1, 1, 4], [0, 0, 1, 0, 3, 5, 1, 0, 0, 5], [0, 0, 1, 0, 4, 0, 0, 8, 2, 0], [0, 0, 1, 0, 4, 0, 0, 9, 0, 1], [0, 0, 1, 0, 4, 0, 1, 6, 3, 0], [0, 0, 1, 0, 4, 0, 1, 7, 1, 1], [0, 0, 1, 0, 4, 0, 2, 4, 4, 0], [0, 0, 1, 0, 4, 0, 2, 5, 2, 1], [0, 0, 1, 0, 4, 0, 2, 6, 0, 2], [0, 0, 1, 0, 4, 0, 3, 2, 5, 0], [0, 0, 1, 0, 4, 0, 3, 3, 3, 1], [0, 0, 1, 0, 4, 0, 3, 4, 1, 2], [0, 0, 1, 0, 4, 0, 4, 0, 6, 0], [0, 0, 1, 0, 4, 0, 4, 1, 4, 1], [0, 0, 1, 0, 4, 0, 4, 2, 2, 2], [0, 0, 1, 0, 4, 0, 4, 3, 0, 3], [0, 0, 1, 0, 4, 0, 5, 0, 3, 2], [0, 0, 1, 0, 4, 0, 5, 1, 1, 3], [0, 0, 1, 0, 4, 0, 6, 0, 0, 4], [0, 0, 1, 0, 4, 1, 0, 5, 4, 0], [0, 0, 1, 0, 4, 1, 0, 6, 2, 1], [0, 0, 1, 0, 4, 1, 0, 7, 0, 2], [0, 0, 1, 0, 4, 1, 1, 3, 5, 0], [0, 0, 1, 0, 4, 1, 1, 4, 3, 1], [0, 0, 1, 0, 4, 1, 1, 5, 1, 2], [0, 0, 1, 0, 4, 1, 2, 1, 6, 0], [0, 0, 1, 0, 4, 1, 2, 2, 4, 1], [0, 0, 1, 0, 4, 1, 2, 3, 2, 2], [0, 0, 1, 0, 4, 1, 2, 4, 0, 3], [0, 0, 1, 0, 4, 1, 3, 0, 5, 1], [0, 0, 1, 0, 4, 1, 3, 1, 3, 2], [0, 0, 1, 0, 4, 1, 3, 2, 1, 3], [0, 0, 1, 0, 4, 1, 4, 0, 2, 3], [0, 0, 1, 0, 4, 1, 4, 1, 0, 4], [0, 0, 1, 0, 4, 2, 0, 2, 6, 0], [0, 0, 1, 0, 4, 2, 0, 3, 4, 1], [0, 0, 1, 0, 4, 2, 0, 4, 2, 2], [0, 0, 1, 0, 4, 2, 0, 5, 0, 3], [0, 0, 1, 0, 4, 2, 1, 0, 7, 0], [0, 0, 1, 0, 4, 2, 1, 1, 5, 1], [0, 0, 1, 0, 4, 2, 1, 2, 3, 2], [0, 0, 1, 0, 4, 2, 1, 3, 1, 3], [0, 0, 1, 0, 4, 2, 2, 0, 4, 2], [0, 0, 1, 0, 4, 2, 2, 1, 2, 3], [0, 0, 1, 0, 4, 2, 2, 2, 0, 4], [0, 0, 1, 0, 4, 2, 3, 0, 1, 4], [0, 0, 1, 0, 4, 3, 0, 0, 6, 1], [0, 0, 1, 0, 4, 3, 0, 1, 4, 2], [0, 0, 1, 0, 4, 3, 0, 2, 2, 3], [0, 0, 1, 0, 4, 3, 0, 3, 0, 4], [0, 0, 1, 0, 4, 3, 1, 0, 3, 3], [0, 0, 1, 0, 4, 3, 1, 1, 1, 4], [0, 0, 1, 0, 4, 3, 2, 0, 0, 5], [0, 0, 1, 0, 4, 4, 0, 0, 2, 4], [0, 0, 1, 0, 4, 4, 0, 1, 0, 5], [0, 0, 1, 0, 5, 0, 0, 4, 5, 0], [0, 0, 1, 0, 5, 0, 0, 5, 3, 1], [0, 0, 1, 0, 5, 0, 0, 6, 1, 2], [0, 0, 1, 0, 5, 0, 1, 2, 6, 0], [0, 0, 1, 0, 5, 0, 1, 3, 4, 1], [0, 0, 1, 0, 5, 0, 1, 4, 2, 2], [0, 0, 1, 0, 5, 0, 1, 5, 0, 3], [0, 0, 1, 0, 5, 0, 2, 0, 7, 0], [0, 0, 1, 0, 5, 0, 2, 1, 5, 1], [0, 0, 1, 0, 5, 0, 2, 2, 3, 2], [0, 0, 1, 0, 5, 0, 2, 3, 1, 3], [0, 0, 1, 0, 5, 0, 3, 0, 4, 2], [0, 0, 1, 0, 5, 0, 3, 1, 2, 3], [0, 0, 1, 0, 5, 0, 3, 2, 0, 4], [0, 0, 1, 0, 5, 0, 4, 0, 1, 4], [0, 0, 1, 0, 5, 1, 0, 1, 7, 0], [0, 0, 1, 0, 5, 1, 0, 2, 5, 1], [0, 0, 1, 0, 5, 1, 0, 3, 3, 2], [0, 0, 1, 0, 5, 1, 0, 4, 1, 3], [0, 0, 1, 0, 5, 1, 1, 0, 6, 1], [0, 0, 1, 0, 5, 1, 1, 1, 4, 2], [0, 0, 1, 0, 5, 1, 1, 2, 2, 3], [0, 0, 1, 0, 5, 1, 1, 3, 0, 4], [0, 0, 1, 0, 5, 1, 2, 0, 3, 3], [0, 0, 1, 0, 5, 1, 2, 1, 1, 4], [0, 0, 1, 0, 5, 1, 3, 0, 0, 5], [0, 0, 1, 0, 5, 2, 0, 0, 5, 2], [0, 0, 1, 0, 5, 2, 0, 1, 3, 3], [0, 0, 1, 0, 5, 2, 0, 2, 1, 4], [0, 0, 1, 0, 5, 2, 1, 0, 2, 4], [0, 0, 1, 0, 5, 2, 1, 1, 0, 5], [0, 0, 1, 0, 5, 3, 0, 0, 1, 5], [0, 0, 1, 0, 6, 0, 0, 0, 8, 0], [0, 0, 1, 0, 6, 0, 0, 1, 6, 1], [0, 0, 1, 0, 6, 0, 0, 2, 4, 2], [0, 0, 1, 0, 6, 0, 0, 3, 2, 3], [0, 0, 1, 0, 6, 0, 0, 4, 0, 4], [0, 0, 1, 0, 6, 0, 1, 0, 5, 2], [0, 0, 1, 0, 6, 0, 1, 1, 3, 3], [0, 0, 1, 0, 6, 0, 1, 2, 1, 4], [0, 0, 1, 0, 6, 0, 2, 0, 2, 4], [0, 0, 1, 0, 6, 0, 2, 1, 0, 5], [0, 0, 1, 0, 6, 1, 0, 0, 4, 3], [0, 0, 1, 0, 6, 1, 0, 1, 2, 4], [0, 0, 1, 0, 6, 1, 0, 2, 0, 5], [0, 0, 1, 0, 6, 1, 1, 0, 1, 5], [0, 0, 1, 0, 6, 2, 0, 0, 0, 6], [0, 0, 1, 0, 7, 0, 0, 0, 3, 4], [0, 0, 1, 0, 7, 0, 0, 1, 1, 5], [0, 0, 1, 0, 7, 0, 1, 0, 0, 6], [0, 0, 1, 1, 0, 0, 6, 7, 0, 0], [0, 0, 1, 1, 0, 0, 7, 5, 1, 0], [0, 0, 1, 1, 0, 0, 8, 3, 2, 0], [0, 0, 1, 1, 0, 0, 8, 4, 0, 1], [0, 0, 1, 1, 0, 0, 9, 1, 3, 0], [0, 0, 1, 1, 0, 0, 9, 2, 1, 1], [0, 0, 1, 1, 0, 0, 10, 0, 2, 1], [0, 0, 1, 1, 0, 0, 10, 1, 0, 2], [0, 0, 1, 1, 0, 1, 4, 8, 0, 0], [0, 0, 1, 1, 0, 1, 5, 6, 1, 0], [0, 0, 1, 1, 0, 1, 6, 4, 2, 0], [0, 0, 1, 1, 0, 1, 6, 5, 0, 1], [0, 0, 1, 1, 0, 1, 7, 2, 3, 0], [0, 0, 1, 1, 0, 1, 7, 3, 1, 1], [0, 0, 1, 1, 0, 1, 8, 0, 4, 0], [0, 0, 1, 1, 0, 1, 8, 1, 2, 1], [0, 0, 1, 1, 0, 1, 8, 2, 0, 2], [0, 0, 1, 1, 0, 1, 9, 0, 1, 2], [0, 0, 1, 1, 0, 2, 2, 9, 0, 0], [0, 0, 1, 1, 0, 2, 3, 7, 1, 0], [0, 0, 1, 1, 0, 2, 4, 5, 2, 0], [0, 0, 1, 1, 0, 2, 4, 6, 0, 1], [0, 0, 1, 1, 0, 2, 5, 3, 3, 0], [0, 0, 1, 1, 0, 2, 5, 4, 1, 1], [0, 0, 1, 1, 0, 2, 6, 1, 4, 0], [0, 0, 1, 1, 0, 2, 6, 2, 2, 1], [0, 0, 1, 1, 0, 2, 6, 3, 0, 2], [0, 0, 1, 1, 0, 2, 7, 0, 3, 1], [0, 0, 1, 1, 0, 2, 7, 1, 1, 2], [0, 0, 1, 1, 0, 2, 8, 0, 0, 3], [0, 0, 1, 1, 0, 3, 0, 10, 0, 0], [0, 0, 1, 1, 0, 3, 1, 8, 1, 0], [0, 0, 1, 1, 0, 3, 2, 6, 2, 0], [0, 0, 1, 1, 0, 3, 2, 7, 0, 1], [0, 0, 1, 1, 0, 3, 3, 4, 3, 0], [0, 0, 1, 1, 0, 3, 3, 5, 1, 1], [0, 0, 1, 1, 0, 3, 4, 2, 4, 0], [0, 0, 1, 1, 0, 3, 4, 3, 2, 1], [0, 0, 1, 1, 0, 3, 4, 4, 0, 2], [0, 0, 1, 1, 0, 3, 5, 0, 5, 0], [0, 0, 1, 1, 0, 3, 5, 1, 3, 1], [0, 0, 1, 1, 0, 3, 5, 2, 1, 2], [0, 0, 1, 1, 0, 3, 6, 0, 2, 2], [0, 0, 1, 1, 0, 3, 6, 1, 0, 3], [0, 0, 1, 1, 0, 4, 0, 7, 2, 0], [0, 0, 1, 1, 0, 4, 0, 8, 0, 1], [0, 0, 1, 1, 0, 4, 1, 5, 3, 0], [0, 0, 1, 1, 0, 4, 1, 6, 1, 1], [0, 0, 1, 1, 0, 4, 2, 3, 4, 0], [0, 0, 1, 1, 0, 4, 2, 4, 2, 1], [0, 0, 1, 1, 0, 4, 2, 5, 0, 2], [0, 0, 1, 1, 0, 4, 3, 1, 5, 0], [0, 0, 1, 1, 0, 4, 3, 2, 3, 1], [0, 0, 1, 1, 0, 4, 3, 3, 1, 2], [0, 0, 1, 1, 0, 4, 4, 0, 4, 1], [0, 0, 1, 1, 0, 4, 4, 1, 2, 2], [0, 0, 1, 1, 0, 4, 4, 2, 0, 3], [0, 0, 1, 1, 0, 4, 5, 0, 1, 3], [0, 0, 1, 1, 0, 5, 0, 4, 4, 0], [0, 0, 1, 1, 0, 5, 0, 5, 2, 1], [0, 0, 1, 1, 0, 5, 0, 6, 0, 2], [0, 0, 1, 1, 0, 5, 1, 2, 5, 0], [0, 0, 1, 1, 0, 5, 1, 3, 3, 1], [0, 0, 1, 1, 0, 5, 1, 4, 1, 2], [0, 0, 1, 1, 0, 5, 2, 0, 6, 0], [0, 0, 1, 1, 0, 5, 2, 1, 4, 1], [0, 0, 1, 1, 0, 5, 2, 2, 2, 2], [0, 0, 1, 1, 0, 5, 2, 3, 0, 3], [0, 0, 1, 1, 0, 5, 3, 0, 3, 2], [0, 0, 1, 1, 0, 5, 3, 1, 1, 3], [0, 0, 1, 1, 0, 5, 4, 0, 0, 4], [0, 0, 1, 1, 0, 6, 0, 1, 6, 0], [0, 0, 1, 1, 0, 6, 0, 2, 4, 1], [0, 0, 1, 1, 0, 6, 0, 3, 2, 2], [0, 0, 1, 1, 0, 6, 0, 4, 0, 3], [0, 0, 1, 1, 0, 6, 1, 0, 5, 1], [0, 0, 1, 1, 0, 6, 1, 1, 3, 2], [0, 0, 1, 1, 0, 6, 1, 2, 1, 3], [0, 0, 1, 1, 0, 6, 2, 0, 2, 3], [0, 0, 1, 1, 0, 6, 2, 1, 0, 4], [0, 0, 1, 1, 0, 7, 0, 0, 4, 2], [0, 0, 1, 1, 0, 7, 0, 1, 2, 3], [0, 0, 1, 1, 0, 7, 0, 2, 0, 4], [0, 0, 1, 1, 0, 7, 1, 0, 1, 4], [0, 0, 1, 1, 0, 8, 0, 0, 0, 5], [0, 0, 1, 1, 1, 0, 3, 9, 0, 0], [0, 0, 1, 1, 1, 0, 4, 7, 1, 0], [0, 0, 1, 1, 1, 0, 5, 5, 2, 0], [0, 0, 1, 1, 1, 0, 5, 6, 0, 1], [0, 0, 1, 1, 1, 0, 6, 3, 3, 0], [0, 0, 1, 1, 1, 0, 6, 4, 1, 1], [0, 0, 1, 1, 1, 0, 7, 1, 4, 0], [0, 0, 1, 1, 1, 0, 7, 2, 2, 1], [0, 0, 1, 1, 1, 0, 7, 3, 0, 2], [0, 0, 1, 1, 1, 0, 8, 0, 3, 1], [0, 0, 1, 1, 1, 0, 8, 1, 1, 2], [0, 0, 1, 1, 1, 0, 9, 0, 0, 3], [0, 0, 1, 1, 1, 1, 1, 10, 0, 0], [0, 0, 1, 1, 1, 1, 2, 8, 1, 0], [0, 0, 1, 1, 1, 1, 3, 6, 2, 0], [0, 0, 1, 1, 1, 1, 3, 7, 0, 1], [0, 0, 1, 1, 1, 1, 4, 4, 3, 0], [0, 0, 1, 1, 1, 1, 4, 5, 1, 1], [0, 0, 1, 1, 1, 1, 5, 2, 4, 0], [0, 0, 1, 1, 1, 1, 5, 3, 2, 1], [0, 0, 1, 1, 1, 1, 5, 4, 0, 2], [0, 0, 1, 1, 1, 1, 6, 0, 5, 0], [0, 0, 1, 1, 1, 1, 6, 1, 3, 1], [0, 0, 1, 1, 1, 1, 6, 2, 1, 2], [0, 0, 1, 1, 1, 1, 7, 0, 2, 2], [0, 0, 1, 1, 1, 1, 7, 1, 0, 3], [0, 0, 1, 1, 1, 2, 0, 9, 1, 0], [0, 0, 1, 1, 1, 2, 1, 7, 2, 0], [0, 0, 1, 1, 1, 2, 1, 8, 0, 1], [0, 0, 1, 1, 1, 2, 2, 5, 3, 0], [0, 0, 1, 1, 1, 2, 2, 6, 1, 1], [0, 0, 1, 1, 1, 2, 3, 3, 4, 0], [0, 0, 1, 1, 1, 2, 3, 4, 2, 1], [0, 0, 1, 1, 1, 2, 3, 5, 0, 2], [0, 0, 1, 1, 1, 2, 4, 1, 5, 0], [0, 0, 1, 1, 1, 2, 4, 2, 3, 1], [0, 0, 1, 1, 1, 2, 4, 3, 1, 2], [0, 0, 1, 1, 1, 2, 5, 0, 4, 1], [0, 0, 1, 1, 1, 2, 5, 1, 2, 2], [0, 0, 1, 1, 1, 2, 5, 2, 0, 3], [0, 0, 1, 1, 1, 2, 6, 0, 1, 3], [0, 0, 1, 1, 1, 3, 0, 6, 3, 0], [0, 0, 1, 1, 1, 3, 0, 7, 1, 1], [0, 0, 1, 1, 1, 3, 1, 4, 4, 0], [0, 0, 1, 1, 1, 3, 1, 5, 2, 1], [0, 0, 1, 1, 1, 3, 1, 6, 0, 2], [0, 0, 1, 1, 1, 3, 2, 2, 5, 0], [0, 0, 1, 1, 1, 3, 2, 3, 3, 1], [0, 0, 1, 1, 1, 3, 2, 4, 1, 2], [0, 0, 1, 1, 1, 3, 3, 0, 6, 0], [0, 0, 1, 1, 1, 3, 3, 1, 4, 1], [0, 0, 1, 1, 1, 3, 3, 2, 2, 2], [0, 0, 1, 1, 1, 3, 3, 3, 0, 3], [0, 0, 1, 1, 1, 3, 4, 0, 3, 2], [0, 0, 1, 1, 1, 3, 4, 1, 1, 3], [0, 0, 1, 1, 1, 3, 5, 0, 0, 4], [0, 0, 1, 1, 1, 4, 0, 3, 5, 0], [0, 0, 1, 1, 1, 4, 0, 4, 3, 1], [0, 0, 1, 1, 1, 4, 0, 5, 1, 2], [0, 0, 1, 1, 1, 4, 1, 1, 6, 0], [0, 0, 1, 1, 1, 4, 1, 2, 4, 1], [0, 0, 1, 1, 1, 4, 1, 3, 2, 2], [0, 0, 1, 1, 1, 4, 1, 4, 0, 3], [0, 0, 1, 1, 1, 4, 2, 0, 5, 1], [0, 0, 1, 1, 1, 4, 2, 1, 3, 2], [0, 0, 1, 1, 1, 4, 2, 2, 1, 3], [0, 0, 1, 1, 1, 4, 3, 0, 2, 3], [0, 0, 1, 1, 1, 4, 3, 1, 0, 4], [0, 0, 1, 1, 1, 5, 0, 0, 7, 0], [0, 0, 1, 1, 1, 5, 0, 1, 5, 1], [0, 0, 1, 1, 1, 5, 0, 2, 3, 2], [0, 0, 1, 1, 1, 5, 0, 3, 1, 3], [0, 0, 1, 1, 1, 5, 1, 0, 4, 2], [0, 0, 1, 1, 1, 5, 1, 1, 2, 3], [0, 0, 1, 1, 1, 5, 1, 2, 0, 4], [0, 0, 1, 1, 1, 5, 2, 0, 1, 4], [0, 0, 1, 1, 1, 6, 0, 0, 3, 3], [0, 0, 1, 1, 1, 6, 0, 1, 1, 4], [0, 0, 1, 1, 1, 6, 1, 0, 0, 5], [0, 0, 1, 1, 2, 0, 0, 11, 0, 0], [0, 0, 1, 1, 2, 0, 1, 9, 1, 0], [0, 0, 1, 1, 2, 0, 2, 7, 2, 0], [0, 0, 1, 1, 2, 0, 2, 8, 0, 1], [0, 0, 1, 1, 2, 0, 3, 5, 3, 0], [0, 0, 1, 1, 2, 0, 3, 6, 1, 1], [0, 0, 1, 1, 2, 0, 4, 3, 4, 0], [0, 0, 1, 1, 2, 0, 4, 4, 2, 1], [0, 0, 1, 1, 2, 0, 4, 5, 0, 2], [0, 0, 1, 1, 2, 0, 5, 1, 5, 0], [0, 0, 1, 1, 2, 0, 5, 2, 3, 1], [0, 0, 1, 1, 2, 0, 5, 3, 1, 2], [0, 0, 1, 1, 2, 0, 6, 0, 4, 1], [0, 0, 1, 1, 2, 0, 6, 1, 2, 2], [0, 0, 1, 1, 2, 0, 6, 2, 0, 3], [0, 0, 1, 1, 2, 0, 7, 0, 1, 3], [0, 0, 1, 1, 2, 1, 0, 8, 2, 0], [0, 0, 1, 1, 2, 1, 0, 9, 0, 1], [0, 0, 1, 1, 2, 1, 1, 6, 3, 0], [0, 0, 1, 1, 2, 1, 1, 7, 1, 1], [0, 0, 1, 1, 2, 1, 2, 4, 4, 0], [0, 0, 1, 1, 2, 1, 2, 5, 2, 1], [0, 0, 1, 1, 2, 1, 2, 6, 0, 2], [0, 0, 1, 1, 2, 1, 3, 2, 5, 0], [0, 0, 1, 1, 2, 1, 3, 3, 3, 1], [0, 0, 1, 1, 2, 1, 3, 4, 1, 2], [0, 0, 1, 1, 2, 1, 4, 0, 6, 0], [0, 0, 1, 1, 2, 1, 4, 1, 4, 1], [0, 0, 1, 1, 2, 1, 4, 2, 2, 2], [0, 0, 1, 1, 2, 1, 4, 3, 0, 3], [0, 0, 1, 1, 2, 1, 5, 0, 3, 2], [0, 0, 1, 1, 2, 1, 5, 1, 1, 3], [0, 0, 1, 1, 2, 1, 6, 0, 0, 4], [0, 0, 1, 1, 2, 2, 0, 5, 4, 0], [0, 0, 1, 1, 2, 2, 0, 6, 2, 1], [0, 0, 1, 1, 2, 2, 0, 7, 0, 2], [0, 0, 1, 1, 2, 2, 1, 3, 5, 0], [0, 0, 1, 1, 2, 2, 1, 4, 3, 1], [0, 0, 1, 1, 2, 2, 1, 5, 1, 2], [0, 0, 1, 1, 2, 2, 2, 1, 6, 0], [0, 0, 1, 1, 2, 2, 2, 2, 4, 1], [0, 0, 1, 1, 2, 2, 2, 3, 2, 2], [0, 0, 1, 1, 2, 2, 2, 4, 0, 3], [0, 0, 1, 1, 2, 2, 3, 0, 5, 1], [0, 0, 1, 1, 2, 2, 3, 1, 3, 2], [0, 0, 1, 1, 2, 2, 3, 2, 1, 3], [0, 0, 1, 1, 2, 2, 4, 0, 2, 3], [0, 0, 1, 1, 2, 2, 4, 1, 0, 4], [0, 0, 1, 1, 2, 3, 0, 2, 6, 0], [0, 0, 1, 1, 2, 3, 0, 3, 4, 1], [0, 0, 1, 1, 2, 3, 0, 4, 2, 2], [0, 0, 1, 1, 2, 3, 0, 5, 0, 3], [0, 0, 1, 1, 2, 3, 1, 0, 7, 0], [0, 0, 1, 1, 2, 3, 1, 1, 5, 1], [0, 0, 1, 1, 2, 3, 1, 2, 3, 2], [0, 0, 1, 1, 2, 3, 1, 3, 1, 3], [0, 0, 1, 1, 2, 3, 2, 0, 4, 2], [0, 0, 1, 1, 2, 3, 2, 1, 2, 3], [0, 0, 1, 1, 2, 3, 2, 2, 0, 4], [0, 0, 1, 1, 2, 3, 3, 0, 1, 4], [0, 0, 1, 1, 2, 4, 0, 0, 6, 1], [0, 0, 1, 1, 2, 4, 0, 1, 4, 2], [0, 0, 1, 1, 2, 4, 0, 2, 2, 3], [0, 0, 1, 1, 2, 4, 0, 3, 0, 4], [0, 0, 1, 1, 2, 4, 1, 0, 3, 3], [0, 0, 1, 1, 2, 4, 1, 1, 1, 4], [0, 0, 1, 1, 2, 4, 2, 0, 0, 5], [0, 0, 1, 1, 2, 5, 0, 0, 2, 4], [0, 0, 1, 1, 2, 5, 0, 1, 0, 5], [0, 0, 1, 1, 3, 0, 0, 7, 3, 0], [0, 0, 1, 1, 3, 0, 0, 8, 1, 1], [0, 0, 1, 1, 3, 0, 1, 5, 4, 0], [0, 0, 1, 1, 3, 0, 1, 6, 2, 1], [0, 0, 1, 1, 3, 0, 1, 7, 0, 2], [0, 0, 1, 1, 3, 0, 2, 3, 5, 0], [0, 0, 1, 1, 3, 0, 2, 4, 3, 1], [0, 0, 1, 1, 3, 0, 2, 5, 1, 2], [0, 0, 1, 1, 3, 0, 3, 1, 6, 0], [0, 0, 1, 1, 3, 0, 3, 2, 4, 1], [0, 0, 1, 1, 3, 0, 3, 3, 2, 2], [0, 0, 1, 1, 3, 0, 3, 4, 0, 3], [0, 0, 1, 1, 3, 0, 4, 0, 5, 1], [0, 0, 1, 1, 3, 0, 4, 1, 3, 2], [0, 0, 1, 1, 3, 0, 4, 2, 1, 3], [0, 0, 1, 1, 3, 0, 5, 0, 2, 3], [0, 0, 1, 1, 3, 0, 5, 1, 0, 4], [0, 0, 1, 1, 3, 1, 0, 4, 5, 0], [0, 0, 1, 1, 3, 1, 0, 5, 3, 1], [0, 0, 1, 1, 3, 1, 0, 6, 1, 2], [0, 0, 1, 1, 3, 1, 1, 2, 6, 0], [0, 0, 1, 1, 3, 1, 1, 3, 4, 1], [0, 0, 1, 1, 3, 1, 1, 4, 2, 2], [0, 0, 1, 1, 3, 1, 1, 5, 0, 3], [0, 0, 1, 1, 3, 1, 2, 0, 7, 0], [0, 0, 1, 1, 3, 1, 2, 1, 5, 1], [0, 0, 1, 1, 3, 1, 2, 2, 3, 2], [0, 0, 1, 1, 3, 1, 2, 3, 1, 3], [0, 0, 1, 1, 3, 1, 3, 0, 4, 2], [0, 0, 1, 1, 3, 1, 3, 1, 2, 3], [0, 0, 1, 1, 3, 1, 3, 2, 0, 4], [0, 0, 1, 1, 3, 1, 4, 0, 1, 4], [0, 0, 1, 1, 3, 2, 0, 1, 7, 0], [0, 0, 1, 1, 3, 2, 0, 2, 5, 1], [0, 0, 1, 1, 3, 2, 0, 3, 3, 2], [0, 0, 1, 1, 3, 2, 0, 4, 1, 3], [0, 0, 1, 1, 3, 2, 1, 0, 6, 1], [0, 0, 1, 1, 3, 2, 1, 1, 4, 2], [0, 0, 1, 1, 3, 2, 1, 2, 2, 3], [0, 0, 1, 1, 3, 2, 1, 3, 0, 4], [0, 0, 1, 1, 3, 2, 2, 0, 3, 3], [0, 0, 1, 1, 3, 2, 2, 1, 1, 4], [0, 0, 1, 1, 3, 2, 3, 0, 0, 5], [0, 0, 1, 1, 3, 3, 0, 0, 5, 2], [0, 0, 1, 1, 3, 3, 0, 1, 3, 3], [0, 0, 1, 1, 3, 3, 0, 2, 1, 4], [0, 0, 1, 1, 3, 3, 1, 0, 2, 4], [0, 0, 1, 1, 3, 3, 1, 1, 0, 5], [0, 0, 1, 1, 3, 4, 0, 0, 1, 5], [0, 0, 1, 1, 4, 0, 0, 3, 6, 0], [0, 0, 1, 1, 4, 0, 0, 4, 4, 1], [0, 0, 1, 1, 4, 0, 0, 5, 2, 2], [0, 0, 1, 1, 4, 0, 0, 6, 0, 3], [0, 0, 1, 1, 4, 0, 1, 1, 7, 0], [0, 0, 1, 1, 4, 0, 1, 2, 5, 1], [0, 0, 1, 1, 4, 0, 1, 3, 3, 2], [0, 0, 1, 1, 4, 0, 1, 4, 1, 3], [0, 0, 1, 1, 4, 0, 2, 0, 6, 1], [0, 0, 1, 1, 4, 0, 2, 1, 4, 2], [0, 0, 1, 1, 4, 0, 2, 2, 2, 3], [0, 0, 1, 1, 4, 0, 2, 3, 0, 4], [0, 0, 1, 1, 4, 0, 3, 0, 3, 3], [0, 0, 1, 1, 4, 0, 3, 1, 1, 4], [0, 0, 1, 1, 4, 0, 4, 0, 0, 5], [0, 0, 1, 1, 4, 1, 0, 0, 8, 0], [0, 0, 1, 1, 4, 1, 0, 1, 6, 1], [0, 0, 1, 1, 4, 1, 0, 2, 4, 2], [0, 0, 1, 1, 4, 1, 0, 3, 2, 3], [0, 0, 1, 1, 4, 1, 0, 4, 0, 4], [0, 0, 1, 1, 4, 1, 1, 0, 5, 2], [0, 0, 1, 1, 4, 1, 1, 1, 3, 3], [0, 0, 1, 1, 4, 1, 1, 2, 1, 4], [0, 0, 1, 1, 4, 1, 2, 0, 2, 4], [0, 0, 1, 1, 4, 1, 2, 1, 0, 5], [0, 0, 1, 1, 4, 2, 0, 0, 4, 3], [0, 0, 1, 1, 4, 2, 0, 1, 2, 4], [0, 0, 1, 1, 4, 2, 0, 2, 0, 5], [0, 0, 1, 1, 4, 2, 1, 0, 1, 5], [0, 0, 1, 1, 4, 3, 0, 0, 0, 6], [0, 0, 1, 1, 5, 0, 0, 0, 7, 1], [0, 0, 1, 1, 5, 0, 0, 1, 5, 2], [0, 0, 1, 1, 5, 0, 0, 2, 3, 3], [0, 0, 1, 1, 5, 0, 0, 3, 1, 4], [0, 0, 1, 1, 5, 0, 1, 0, 4, 3], [0, 0, 1, 1, 5, 0, 1, 1, 2, 4], [0, 0, 1, 1, 5, 0, 1, 2, 0, 5], [0, 0, 1, 1, 5, 0, 2, 0, 1, 5], [0, 0, 1, 1, 5, 1, 0, 0, 3, 4], [0, 0, 1, 1, 5, 1, 0, 1, 1, 5], [0, 0, 1, 1, 5, 1, 1, 0, 0, 6], [0, 0, 1, 1, 6, 0, 0, 0, 2, 5], [0, 0, 1, 1, 6, 0, 0, 1, 0, 6], [0, 0, 1, 2, 0, 0, 2, 10, 0, 0], [0, 0, 1, 2, 0, 0, 3, 8, 1, 0], [0, 0, 1, 2, 0, 0, 4, 6, 2, 0], [0, 0, 1, 2, 0, 0, 4, 7, 0, 1], [0, 0, 1, 2, 0, 0, 5, 4, 3, 0], [0, 0, 1, 2, 0, 0, 5, 5, 1, 1], [0, 0, 1, 2, 0, 0, 6, 2, 4, 0], [0, 0, 1, 2, 0, 0, 6, 3, 2, 1], [0, 0, 1, 2, 0, 0, 6, 4, 0, 2], [0, 0, 1, 2, 0, 0, 7, 0, 5, 0], [0, 0, 1, 2, 0, 0, 7, 1, 3, 1], [0, 0, 1, 2, 0, 0, 7, 2, 1, 2], [0, 0, 1, 2, 0, 0, 8, 0, 2, 2], [0, 0, 1, 2, 0, 0, 8, 1, 0, 3], [0, 0, 1, 2, 0, 1, 0, 11, 0, 0], [0, 0, 1, 2, 0, 1, 1, 9, 1, 0], [0, 0, 1, 2, 0, 1, 2, 7, 2, 0], [0, 0, 1, 2, 0, 1, 2, 8, 0, 1], [0, 0, 1, 2, 0, 1, 3, 5, 3, 0], [0, 0, 1, 2, 0, 1, 3, 6, 1, 1], [0, 0, 1, 2, 0, 1, 4, 3, 4, 0], [0, 0, 1, 2, 0, 1, 4, 4, 2, 1], [0, 0, 1, 2, 0, 1, 4, 5, 0, 2], [0, 0, 1, 2, 0, 1, 5, 1, 5, 0], [0, 0, 1, 2, 0, 1, 5, 2, 3, 1], [0, 0, 1, 2, 0, 1, 5, 3, 1, 2], [0, 0, 1, 2, 0, 1, 6, 0, 4, 1], [0, 0, 1, 2, 0, 1, 6, 1, 2, 2], [0, 0, 1, 2, 0, 1, 6, 2, 0, 3], [0, 0, 1, 2, 0, 1, 7, 0, 1, 3], [0, 0, 1, 2, 0, 2, 0, 8, 2, 0], [0, 0, 1, 2, 0, 2, 0, 9, 0, 1], [0, 0, 1, 2, 0, 2, 1, 6, 3, 0], [0, 0, 1, 2, 0, 2, 1, 7, 1, 1], [0, 0, 1, 2, 0, 2, 2, 4, 4, 0], [0, 0, 1, 2, 0, 2, 2, 5, 2, 1], [0, 0, 1, 2, 0, 2, 2, 6, 0, 2], [0, 0, 1, 2, 0, 2, 3, 2, 5, 0], [0, 0, 1, 2, 0, 2, 3, 3, 3, 1], [0, 0, 1, 2, 0, 2, 3, 4, 1, 2], [0, 0, 1, 2, 0, 2, 4, 0, 6, 0], [0, 0, 1, 2, 0, 2, 4, 1, 4, 1], [0, 0, 1, 2, 0, 2, 4, 2, 2, 2], [0, 0, 1, 2, 0, 2, 4, 3, 0, 3], [0, 0, 1, 2, 0, 2, 5, 0, 3, 2], [0, 0, 1, 2, 0, 2, 5, 1, 1, 3], [0, 0, 1, 2, 0, 2, 6, 0, 0, 4], [0, 0, 1, 2, 0, 3, 0, 5, 4, 0], [0, 0, 1, 2, 0, 3, 0, 6, 2, 1], [0, 0, 1, 2, 0, 3, 0, 7, 0, 2], [0, 0, 1, 2, 0, 3, 1, 3, 5, 0], [0, 0, 1, 2, 0, 3, 1, 4, 3, 1], [0, 0, 1, 2, 0, 3, 1, 5, 1, 2], [0, 0, 1, 2, 0, 3, 2, 1, 6, 0], [0, 0, 1, 2, 0, 3, 2, 2, 4, 1], [0, 0, 1, 2, 0, 3, 2, 3, 2, 2], [0, 0, 1, 2, 0, 3, 2, 4, 0, 3], [0, 0, 1, 2, 0, 3, 3, 0, 5, 1], [0, 0, 1, 2, 0, 3, 3, 1, 3, 2], [0, 0, 1, 2, 0, 3, 3, 2, 1, 3], [0, 0, 1, 2, 0, 3, 4, 0, 2, 3], [0, 0, 1, 2, 0, 3, 4, 1, 0, 4], [0, 0, 1, 2, 0, 4, 0, 2, 6, 0], [0, 0, 1, 2, 0, 4, 0, 3, 4, 1], [0, 0, 1, 2, 0, 4, 0, 4, 2, 2], [0, 0, 1, 2, 0, 4, 0, 5, 0, 3], [0, 0, 1, 2, 0, 4, 1, 0, 7, 0], [0, 0, 1, 2, 0, 4, 1, 1, 5, 1], [0, 0, 1, 2, 0, 4, 1, 2, 3, 2], [0, 0, 1, 2, 0, 4, 1, 3, 1, 3], [0, 0, 1, 2, 0, 4, 2, 0, 4, 2], [0, 0, 1, 2, 0, 4, 2, 1, 2, 3], [0, 0, 1, 2, 0, 4, 2, 2, 0, 4], [0, 0, 1, 2, 0, 4, 3, 0, 1, 4], [0, 0, 1, 2, 0, 5, 0, 0, 6, 1], [0, 0, 1, 2, 0, 5, 0, 1, 4, 2], [0, 0, 1, 2, 0, 5, 0, 2, 2, 3], [0, 0, 1, 2, 0, 5, 0, 3, 0, 4], [0, 0, 1, 2, 0, 5, 1, 0, 3, 3], [0, 0, 1, 2, 0, 5, 1, 1, 1, 4], [0, 0, 1, 2, 0, 5, 2, 0, 0, 5], [0, 0, 1, 2, 0, 6, 0, 0, 2, 4], [0, 0, 1, 2, 0, 6, 0, 1, 0, 5], [0, 0, 1, 2, 1, 0, 0, 10, 1, 0], [0, 0, 1, 2, 1, 0, 1, 8, 2, 0], [0, 0, 1, 2, 1, 0, 1, 9, 0, 1], [0, 0, 1, 2, 1, 0, 2, 6, 3, 0], [0, 0, 1, 2, 1, 0, 2, 7, 1, 1], [0, 0, 1, 2, 1, 0, 3, 4, 4, 0], [0, 0, 1, 2, 1, 0, 3, 5, 2, 1], [0, 0, 1, 2, 1, 0, 3, 6, 0, 2], [0, 0, 1, 2, 1, 0, 4, 2, 5, 0], [0, 0, 1, 2, 1, 0, 4, 3, 3, 1], [0, 0, 1, 2, 1, 0, 4, 4, 1, 2], [0, 0, 1, 2, 1, 0, 5, 0, 6, 0], [0, 0, 1, 2, 1, 0, 5, 1, 4, 1], [0, 0, 1, 2, 1, 0, 5, 2, 2, 2], [0, 0, 1, 2, 1, 0, 5, 3, 0, 3], [0, 0, 1, 2, 1, 0, 6, 0, 3, 2], [0, 0, 1, 2, 1, 0, 6, 1, 1, 3], [0, 0, 1, 2, 1, 0, 7, 0, 0, 4], [0, 0, 1, 2, 1, 1, 0, 7, 3, 0], [0, 0, 1, 2, 1, 1, 0, 8, 1, 1], [0, 0, 1, 2, 1, 1, 1, 5, 4, 0], [0, 0, 1, 2, 1, 1, 1, 6, 2, 1], [0, 0, 1, 2, 1, 1, 1, 7, 0, 2], [0, 0, 1, 2, 1, 1, 2, 3, 5, 0], [0, 0, 1, 2, 1, 1, 2, 4, 3, 1], [0, 0, 1, 2, 1, 1, 2, 5, 1, 2], [0, 0, 1, 2, 1, 1, 3, 1, 6, 0], [0, 0, 1, 2, 1, 1, 3, 2, 4, 1], [0, 0, 1, 2, 1, 1, 3, 3, 2, 2], [0, 0, 1, 2, 1, 1, 3, 4, 0, 3], [0, 0, 1, 2, 1, 1, 4, 0, 5, 1], [0, 0, 1, 2, 1, 1, 4, 1, 3, 2], [0, 0, 1, 2, 1, 1, 4, 2, 1, 3], [0, 0, 1, 2, 1, 1, 5, 0, 2, 3], [0, 0, 1, 2, 1, 1, 5, 1, 0, 4], [0, 0, 1, 2, 1, 2, 0, 4, 5, 0], [0, 0, 1, 2, 1, 2, 0, 5, 3, 1], [0, 0, 1, 2, 1, 2, 0, 6, 1, 2], [0, 0, 1, 2, 1, 2, 1, 2, 6, 0], [0, 0, 1, 2, 1, 2, 1, 3, 4, 1], [0, 0, 1, 2, 1, 2, 1, 4, 2, 2], [0, 0, 1, 2, 1, 2, 1, 5, 0, 3], [0, 0, 1, 2, 1, 2, 2, 0, 7, 0], [0, 0, 1, 2, 1, 2, 2, 1, 5, 1], [0, 0, 1, 2, 1, 2, 2, 2, 3, 2], [0, 0, 1, 2, 1, 2, 2, 3, 1, 3], [0, 0, 1, 2, 1, 2, 3, 0, 4, 2], [0, 0, 1, 2, 1, 2, 3, 1, 2, 3], [0, 0, 1, 2, 1, 2, 3, 2, 0, 4], [0, 0, 1, 2, 1, 2, 4, 0, 1, 4], [0, 0, 1, 2, 1, 3, 0, 1, 7, 0], [0, 0, 1, 2, 1, 3, 0, 2, 5, 1], [0, 0, 1, 2, 1, 3, 0, 3, 3, 2], [0, 0, 1, 2, 1, 3, 0, 4, 1, 3], [0, 0, 1, 2, 1, 3, 1, 0, 6, 1], [0, 0, 1, 2, 1, 3, 1, 1, 4, 2], [0, 0, 1, 2, 1, 3, 1, 2, 2, 3], [0, 0, 1, 2, 1, 3, 1, 3, 0, 4], [0, 0, 1, 2, 1, 3, 2, 0, 3, 3], [0, 0, 1, 2, 1, 3, 2, 1, 1, 4], [0, 0, 1, 2, 1, 3, 3, 0, 0, 5], [0, 0, 1, 2, 1, 4, 0, 0, 5, 2], [0, 0, 1, 2, 1, 4, 0, 1, 3, 3], [0, 0, 1, 2, 1, 4, 0, 2, 1, 4], [0, 0, 1, 2, 1, 4, 1, 0, 2, 4], [0, 0, 1, 2, 1, 4, 1, 1, 0, 5], [0, 0, 1, 2, 1, 5, 0, 0, 1, 5], [0, 0, 1, 2, 2, 0, 0, 6, 4, 0], [0, 0, 1, 2, 2, 0, 0, 7, 2, 1], [0, 0, 1, 2, 2, 0, 0, 8, 0, 2], [0, 0, 1, 2, 2, 0, 1, 4, 5, 0], [0, 0, 1, 2, 2, 0, 1, 5, 3, 1], [0, 0, 1, 2, 2, 0, 1, 6, 1, 2], [0, 0, 1, 2, 2, 0, 2, 2, 6, 0], [0, 0, 1, 2, 2, 0, 2, 3, 4, 1], [0, 0, 1, 2, 2, 0, 2, 4, 2, 2], [0, 0, 1, 2, 2, 0, 2, 5, 0, 3], [0, 0, 1, 2, 2, 0, 3, 0, 7, 0], [0, 0, 1, 2, 2, 0, 3, 1, 5, 1], [0, 0, 1, 2, 2, 0, 3, 2, 3, 2], [0, 0, 1, 2, 2, 0, 3, 3, 1, 3], [0, 0, 1, 2, 2, 0, 4, 0, 4, 2], [0, 0, 1, 2, 2, 0, 4, 1, 2, 3], [0, 0, 1, 2, 2, 0, 4, 2, 0, 4], [0, 0, 1, 2, 2, 0, 5, 0, 1, 4], [0, 0, 1, 2, 2, 1, 0, 3, 6, 0], [0, 0, 1, 2, 2, 1, 0, 4, 4, 1], [0, 0, 1, 2, 2, 1, 0, 5, 2, 2], [0, 0, 1, 2, 2, 1, 0, 6, 0, 3], [0, 0, 1, 2, 2, 1, 1, 1, 7, 0], [0, 0, 1, 2, 2, 1, 1, 2, 5, 1], [0, 0, 1, 2, 2, 1, 1, 3, 3, 2], [0, 0, 1, 2, 2, 1, 1, 4, 1, 3], [0, 0, 1, 2, 2, 1, 2, 0, 6, 1], [0, 0, 1, 2, 2, 1, 2, 1, 4, 2], [0, 0, 1, 2, 2, 1, 2, 2, 2, 3], [0, 0, 1, 2, 2, 1, 2, 3, 0, 4], [0, 0, 1, 2, 2, 1, 3, 0, 3, 3], [0, 0, 1, 2, 2, 1, 3, 1, 1, 4], [0, 0, 1, 2, 2, 1, 4, 0, 0, 5], [0, 0, 1, 2, 2, 2, 0, 0, 8, 0], [0, 0, 1, 2, 2, 2, 0, 1, 6, 1], [0, 0, 1, 2, 2, 2, 0, 2, 4, 2], [0, 0, 1, 2, 2, 2, 0, 3, 2, 3], [0, 0, 1, 2, 2, 2, 0, 4, 0, 4], [0, 0, 1, 2, 2, 2, 1, 0, 5, 2], [0, 0, 1, 2, 2, 2, 1, 1, 3, 3], [0, 0, 1, 2, 2, 2, 1, 2, 1, 4], [0, 0, 1, 2, 2, 2, 2, 0, 2, 4], [0, 0, 1, 2, 2, 2, 2, 1, 0, 5], [0, 0, 1, 2, 2, 3, 0, 0, 4, 3], [0, 0, 1, 2, 2, 3, 0, 1, 2, 4], [0, 0, 1, 2, 2, 3, 0, 2, 0, 5], [0, 0, 1, 2, 2, 3, 1, 0, 1, 5], [0, 0, 1, 2, 2, 4, 0, 0, 0, 6], [0, 0, 1, 2, 3, 0, 0, 2, 7, 0], [0, 0, 1, 2, 3, 0, 0, 3, 5, 1], [0, 0, 1, 2, 3, 0, 0, 4, 3, 2], [0, 0, 1, 2, 3, 0, 0, 5, 1, 3], [0, 0, 1, 2, 3, 0, 1, 0, 8, 0], [0, 0, 1, 2, 3, 0, 1, 1, 6, 1], [0, 0, 1, 2, 3, 0, 1, 2, 4, 2], [0, 0, 1, 2, 3, 0, 1, 3, 2, 3], [0, 0, 1, 2, 3, 0, 1, 4, 0, 4], [0, 0, 1, 2, 3, 0, 2, 0, 5, 2], [0, 0, 1, 2, 3, 0, 2, 1, 3, 3], [0, 0, 1, 2, 3, 0, 2, 2, 1, 4], [0, 0, 1, 2, 3, 0, 3, 0, 2, 4], [0, 0, 1, 2, 3, 0, 3, 1, 0, 5], [0, 0, 1, 2, 3, 1, 0, 0, 7, 1], [0, 0, 1, 2, 3, 1, 0, 1, 5, 2], [0, 0, 1, 2, 3, 1, 0, 2, 3, 3], [0, 0, 1, 2, 3, 1, 0, 3, 1, 4], [0, 0, 1, 2, 3, 1, 1, 0, 4, 3], [0, 0, 1, 2, 3, 1, 1, 1, 2, 4], [0, 0, 1, 2, 3, 1, 1, 2, 0, 5], [0, 0, 1, 2, 3, 1, 2, 0, 1, 5], [0, 0, 1, 2, 3, 2, 0, 0, 3, 4], [0, 0, 1, 2, 3, 2, 0, 1, 1, 5], [0, 0, 1, 2, 3, 2, 1, 0, 0, 6], [0, 0, 1, 2, 4, 0, 0, 0, 6, 2], [0, 0, 1, 2, 4, 0, 0, 1, 4, 3], [0, 0, 1, 2, 4, 0, 0, 2, 2, 4], [0, 0, 1, 2, 4, 0, 0, 3, 0, 5], [0, 0, 1, 2, 4, 0, 1, 0, 3, 4], [0, 0, 1, 2, 4, 0, 1, 1, 1, 5], [0, 0, 1, 2, 4, 0, 2, 0, 0, 6], [0, 0, 1, 2, 4, 1, 0, 0, 2, 5], [0, 0, 1, 2, 4, 1, 0, 1, 0, 6], [0, 0, 1, 2, 5, 0, 0, 0, 1, 6], [0, 0, 1, 3, 0, 0, 0, 9, 2, 0], [0, 0, 1, 3, 0, 0, 0, 10, 0, 1], [0, 0, 1, 3, 0, 0, 1, 7, 3, 0], [0, 0, 1, 3, 0, 0, 1, 8, 1, 1], [0, 0, 1, 3, 0, 0, 2, 5, 4, 0], [0, 0, 1, 3, 0, 0, 2, 6, 2, 1], [0, 0, 1, 3, 0, 0, 2, 7, 0, 2], [0, 0, 1, 3, 0, 0, 3, 3, 5, 0], [0, 0, 1, 3, 0, 0, 3, 4, 3, 1], [0, 0, 1, 3, 0, 0, 3, 5, 1, 2], [0, 0, 1, 3, 0, 0, 4, 1, 6, 0], [0, 0, 1, 3, 0, 0, 4, 2, 4, 1], [0, 0, 1, 3, 0, 0, 4, 3, 2, 2], [0, 0, 1, 3, 0, 0, 4, 4, 0, 3], [0, 0, 1, 3, 0, 0, 5, 0, 5, 1], [0, 0, 1, 3, 0, 0, 5, 1, 3, 2], [0, 0, 1, 3, 0, 0, 5, 2, 1, 3], [0, 0, 1, 3, 0, 0, 6, 0, 2, 3], [0, 0, 1, 3, 0, 0, 6, 1, 0, 4], [0, 0, 1, 3, 0, 1, 0, 6, 4, 0], [0, 0, 1, 3, 0, 1, 0, 7, 2, 1], [0, 0, 1, 3, 0, 1, 0, 8, 0, 2], [0, 0, 1, 3, 0, 1, 1, 4, 5, 0], [0, 0, 1, 3, 0, 1, 1, 5, 3, 1], [0, 0, 1, 3, 0, 1, 1, 6, 1, 2], [0, 0, 1, 3, 0, 1, 2, 2, 6, 0], [0, 0, 1, 3, 0, 1, 2, 3, 4, 1], [0, 0, 1, 3, 0, 1, 2, 4, 2, 2], [0, 0, 1, 3, 0, 1, 2, 5, 0, 3], [0, 0, 1, 3, 0, 1, 3, 0, 7, 0], [0, 0, 1, 3, 0, 1, 3, 1, 5, 1], [0, 0, 1, 3, 0, 1, 3, 2, 3, 2], [0, 0, 1, 3, 0, 1, 3, 3, 1, 3], [0, 0, 1, 3, 0, 1, 4, 0, 4, 2], [0, 0, 1, 3, 0, 1, 4, 1, 2, 3], [0, 0, 1, 3, 0, 1, 4, 2, 0, 4], [0, 0, 1, 3, 0, 1, 5, 0, 1, 4], [0, 0, 1, 3, 0, 2, 0, 3, 6, 0], [0, 0, 1, 3, 0, 2, 0, 4, 4, 1], [0, 0, 1, 3, 0, 2, 0, 5, 2, 2], [0, 0, 1, 3, 0, 2, 0, 6, 0, 3], [0, 0, 1, 3, 0, 2, 1, 1, 7, 0], [0, 0, 1, 3, 0, 2, 1, 2, 5, 1], [0, 0, 1, 3, 0, 2, 1, 3, 3, 2], [0, 0, 1, 3, 0, 2, 1, 4, 1, 3], [0, 0, 1, 3, 0, 2, 2, 0, 6, 1], [0, 0, 1, 3, 0, 2, 2, 1, 4, 2], [0, 0, 1, 3, 0, 2, 2, 2, 2, 3], [0, 0, 1, 3, 0, 2, 2, 3, 0, 4], [0, 0, 1, 3, 0, 2, 3, 0, 3, 3], [0, 0, 1, 3, 0, 2, 3, 1, 1, 4], [0, 0, 1, 3, 0, 2, 4, 0, 0, 5], [0, 0, 1, 3, 0, 3, 0, 0, 8, 0], [0, 0, 1, 3, 0, 3, 0, 1, 6, 1], [0, 0, 1, 3, 0, 3, 0, 2, 4, 2], [0, 0, 1, 3, 0, 3, 0, 3, 2, 3], [0, 0, 1, 3, 0, 3, 0, 4, 0, 4], [0, 0, 1, 3, 0, 3, 1, 0, 5, 2], [0, 0, 1, 3, 0, 3, 1, 1, 3, 3], [0, 0, 1, 3, 0, 3, 1, 2, 1, 4], [0, 0, 1, 3, 0, 3, 2, 0, 2, 4], [0, 0, 1, 3, 0, 3, 2, 1, 0, 5], [0, 0, 1, 3, 0, 4, 0, 0, 4, 3], [0, 0, 1, 3, 0, 4, 0, 1, 2, 4], [0, 0, 1, 3, 0, 4, 0, 2, 0, 5], [0, 0, 1, 3, 0, 4, 1, 0, 1, 5], [0, 0, 1, 3, 0, 5, 0, 0, 0, 6], [0, 0, 1, 3, 1, 0, 0, 5, 5, 0], [0, 0, 1, 3, 1, 0, 0, 6, 3, 1], [0, 0, 1, 3, 1, 0, 0, 7, 1, 2], [0, 0, 1, 3, 1, 0, 1, 3, 6, 0], [0, 0, 1, 3, 1, 0, 1, 4, 4, 1], [0, 0, 1, 3, 1, 0, 1, 5, 2, 2], [0, 0, 1, 3, 1, 0, 1, 6, 0, 3], [0, 0, 1, 3, 1, 0, 2, 1, 7, 0], [0, 0, 1, 3, 1, 0, 2, 2, 5, 1], [0, 0, 1, 3, 1, 0, 2, 3, 3, 2], [0, 0, 1, 3, 1, 0, 2, 4, 1, 3], [0, 0, 1, 3, 1, 0, 3, 0, 6, 1], [0, 0, 1, 3, 1, 0, 3, 1, 4, 2], [0, 0, 1, 3, 1, 0, 3, 2, 2, 3], [0, 0, 1, 3, 1, 0, 3, 3, 0, 4], [0, 0, 1, 3, 1, 0, 4, 0, 3, 3], [0, 0, 1, 3, 1, 0, 4, 1, 1, 4], [0, 0, 1, 3, 1, 0, 5, 0, 0, 5], [0, 0, 1, 3, 1, 1, 0, 2, 7, 0], [0, 0, 1, 3, 1, 1, 0, 3, 5, 1], [0, 0, 1, 3, 1, 1, 0, 4, 3, 2], [0, 0, 1, 3, 1, 1, 0, 5, 1, 3], [0, 0, 1, 3, 1, 1, 1, 0, 8, 0], [0, 0, 1, 3, 1, 1, 1, 1, 6, 1], [0, 0, 1, 3, 1, 1, 1, 2, 4, 2], [0, 0, 1, 3, 1, 1, 1, 3, 2, 3], [0, 0, 1, 3, 1, 1, 1, 4, 0, 4], [0, 0, 1, 3, 1, 1, 2, 0, 5, 2], [0, 0, 1, 3, 1, 1, 2, 1, 3, 3], [0, 0, 1, 3, 1, 1, 2, 2, 1, 4], [0, 0, 1, 3, 1, 1, 3, 0, 2, 4], [0, 0, 1, 3, 1, 1, 3, 1, 0, 5], [0, 0, 1, 3, 1, 2, 0, 0, 7, 1], [0, 0, 1, 3, 1, 2, 0, 1, 5, 2], [0, 0, 1, 3, 1, 2, 0, 2, 3, 3], [0, 0, 1, 3, 1, 2, 0, 3, 1, 4], [0, 0, 1, 3, 1, 2, 1, 0, 4, 3], [0, 0, 1, 3, 1, 2, 1, 1, 2, 4], [0, 0, 1, 3, 1, 2, 1, 2, 0, 5], [0, 0, 1, 3, 1, 2, 2, 0, 1, 5], [0, 0, 1, 3, 1, 3, 0, 0, 3, 4], [0, 0, 1, 3, 1, 3, 0, 1, 1, 5], [0, 0, 1, 3, 1, 3, 1, 0, 0, 6], [0, 0, 1, 3, 2, 0, 0, 1, 8, 0], [0, 0, 1, 3, 2, 0, 0, 2, 6, 1], [0, 0, 1, 3, 2, 0, 0, 3, 4, 2], [0, 0, 1, 3, 2, 0, 0, 4, 2, 3], [0, 0, 1, 3, 2, 0, 0, 5, 0, 4], [0, 0, 1, 3, 2, 0, 1, 0, 7, 1], [0, 0, 1, 3, 2, 0, 1, 1, 5, 2], [0, 0, 1, 3, 2, 0, 1, 2, 3, 3], [0, 0, 1, 3, 2, 0, 1, 3, 1, 4], [0, 0, 1, 3, 2, 0, 2, 0, 4, 3], [0, 0, 1, 3, 2, 0, 2, 1, 2, 4], [0, 0, 1, 3, 2, 0, 2, 2, 0, 5], [0, 0, 1, 3, 2, 0, 3, 0, 1, 5], [0, 0, 1, 3, 2, 1, 0, 0, 6, 2], [0, 0, 1, 3, 2, 1, 0, 1, 4, 3], [0, 0, 1, 3, 2, 1, 0, 2, 2, 4], [0, 0, 1, 3, 2, 1, 0, 3, 0, 5], [0, 0, 1, 3, 2, 1, 1, 0, 3, 4], [0, 0, 1, 3, 2, 1, 1, 1, 1, 5], [0, 0, 1, 3, 2, 1, 2, 0, 0, 6], [0, 0, 1, 3, 2, 2, 0, 0, 2, 5], [0, 0, 1, 3, 2, 2, 0, 1, 0, 6], [0, 0, 1, 3, 3, 0, 0, 0, 5, 3], [0, 0, 1, 3, 3, 0, 0, 1, 3, 4], [0, 0, 1, 3, 3, 0, 0, 2, 1, 5], [0, 0, 1, 3, 3, 0, 1, 0, 2, 5], [0, 0, 1, 3, 3, 0, 1, 1, 0, 6], [0, 0, 1, 3, 3, 1, 0, 0, 1, 6], [0, 0, 1, 3, 4, 0, 0, 0, 0, 7], [0, 0, 1, 4, 0, 0, 0, 4, 6, 0], [0, 0, 1, 4, 0, 0, 0, 5, 4, 1], [0, 0, 1, 4, 0, 0, 0, 6, 2, 2], [0, 0, 1, 4, 0, 0, 0, 7, 0, 3], [0, 0, 1, 4, 0, 0, 1, 2, 7, 0], [0, 0, 1, 4, 0, 0, 1, 3, 5, 1], [0, 0, 1, 4, 0, 0, 1, 4, 3, 2], [0, 0, 1, 4, 0, 0, 1, 5, 1, 3], [0, 0, 1, 4, 0, 0, 2, 0, 8, 0], [0, 0, 1, 4, 0, 0, 2, 1, 6, 1], [0, 0, 1, 4, 0, 0, 2, 2, 4, 2], [0, 0, 1, 4, 0, 0, 2, 3, 2, 3], [0, 0, 1, 4, 0, 0, 2, 4, 0, 4], [0, 0, 1, 4, 0, 0, 3, 0, 5, 2], [0, 0, 1, 4, 0, 0, 3, 1, 3, 3], [0, 0, 1, 4, 0, 0, 3, 2, 1, 4], [0, 0, 1, 4, 0, 0, 4, 0, 2, 4], [0, 0, 1, 4, 0, 0, 4, 1, 0, 5], [0, 0, 1, 4, 0, 1, 0, 1, 8, 0], [0, 0, 1, 4, 0, 1, 0, 2, 6, 1], [0, 0, 1, 4, 0, 1, 0, 3, 4, 2], [0, 0, 1, 4, 0, 1, 0, 4, 2, 3], [0, 0, 1, 4, 0, 1, 0, 5, 0, 4], [0, 0, 1, 4, 0, 1, 1, 0, 7, 1], [0, 0, 1, 4, 0, 1, 1, 1, 5, 2], [0, 0, 1, 4, 0, 1, 1, 2, 3, 3], [0, 0, 1, 4, 0, 1, 1, 3, 1, 4], [0, 0, 1, 4, 0, 1, 2, 0, 4, 3], [0, 0, 1, 4, 0, 1, 2, 1, 2, 4], [0, 0, 1, 4, 0, 1, 2, 2, 0, 5], [0, 0, 1, 4, 0, 1, 3, 0, 1, 5], [0, 0, 1, 4, 0, 2, 0, 0, 6, 2], [0, 0, 1, 4, 0, 2, 0, 1, 4, 3], [0, 0, 1, 4, 0, 2, 0, 2, 2, 4], [0, 0, 1, 4, 0, 2, 0, 3, 0, 5], [0, 0, 1, 4, 0, 2, 1, 0, 3, 4], [0, 0, 1, 4, 0, 2, 1, 1, 1, 5], [0, 0, 1, 4, 0, 2, 2, 0, 0, 6], [0, 0, 1, 4, 0, 3, 0, 0, 2, 5], [0, 0, 1, 4, 0, 3, 0, 1, 0, 6], [0, 0, 1, 4, 1, 0, 0, 0, 9, 0], [0, 0, 1, 4, 1, 0, 0, 1, 7, 1], [0, 0, 1, 4, 1, 0, 0, 2, 5, 2], [0, 0, 1, 4, 1, 0, 0, 3, 3, 3], [0, 0, 1, 4, 1, 0, 0, 4, 1, 4], [0, 0, 1, 4, 1, 0, 1, 0, 6, 2], [0, 0, 1, 4, 1, 0, 1, 1, 4, 3], [0, 0, 1, 4, 1, 0, 1, 2, 2, 4], [0, 0, 1, 4, 1, 0, 1, 3, 0, 5], [0, 0, 1, 4, 1, 0, 2, 0, 3, 4], [0, 0, 1, 4, 1, 0, 2, 1, 1, 5], [0, 0, 1, 4, 1, 0, 3, 0, 0, 6], [0, 0, 1, 4, 1, 1, 0, 0, 5, 3], [0, 0, 1, 4, 1, 1, 0, 1, 3, 4], [0, 0, 1, 4, 1, 1, 0, 2, 1, 5], [0, 0, 1, 4, 1, 1, 1, 0, 2, 5], [0, 0, 1, 4, 1, 1, 1, 1, 0, 6], [0, 0, 1, 4, 1, 2, 0, 0, 1, 6], [0, 0, 1, 4, 2, 0, 0, 0, 4, 4], [0, 0, 1, 4, 2, 0, 0, 1, 2, 5], [0, 0, 1, 4, 2, 0, 0, 2, 0, 6], [0, 0, 1, 4, 2, 0, 1, 0, 1, 6], [0, 0, 1, 4, 2, 1, 0, 0, 0, 7], [0, 0, 1, 5, 0, 0, 0, 0, 8, 1], [0, 0, 1, 5, 0, 0, 0, 1, 6, 2], [0, 0, 1, 5, 0, 0, 0, 2, 4, 3], [0, 0, 1, 5, 0, 0, 0, 3, 2, 4], [0, 0, 1, 5, 0, 0, 0, 4, 0, 5], [0, 0, 1, 5, 0, 0, 1, 0, 5, 3], [0, 0, 1, 5, 0, 0, 1, 1, 3, 4], [0, 0, 1, 5, 0, 0, 1, 2, 1, 5], [0, 0, 1, 5, 0, 0, 2, 0, 2, 5], [0, 0, 1, 5, 0, 0, 2, 1, 0, 6], [0, 0, 1, 5, 0, 1, 0, 0, 4, 4], [0, 0, 1, 5, 0, 1, 0, 1, 2, 5], [0, 0, 1, 5, 0, 1, 0, 2, 0, 6], [0, 0, 1, 5, 0, 1, 1, 0, 1, 6], [0, 0, 1, 5, 0, 2, 0, 0, 0, 7], [0, 0, 1, 5, 1, 0, 0, 0, 3, 5], [0, 0, 1, 5, 1, 0, 0, 1, 1, 6], [0, 0, 1, 5, 1, 0, 1, 0, 0, 7], [0, 0, 1, 6, 0, 0, 0, 0, 2, 6], [0, 0, 1, 6, 0, 0, 0, 1, 0, 7], [0, 0, 2, 0, 0, 0, 5, 8, 0, 0], [0, 0, 2, 0, 0, 0, 6, 6, 1, 0], [0, 0, 2, 0, 0, 0, 7, 4, 2, 0], [0, 0, 2, 0, 0, 0, 7, 5, 0, 1], [0, 0, 2, 0, 0, 0, 8, 2, 3, 0], [0, 0, 2, 0, 0, 0, 8, 3, 1, 1], [0, 0, 2, 0, 0, 0, 9, 0, 4, 0], [0, 0, 2, 0, 0, 0, 9, 1, 2, 1], [0, 0, 2, 0, 0, 0, 9, 2, 0, 2], [0, 0, 2, 0, 0, 0, 10, 0, 1, 2], [0, 0, 2, 0, 0, 1, 3, 9, 0, 0], [0, 0, 2, 0, 0, 1, 4, 7, 1, 0], [0, 0, 2, 0, 0, 1, 5, 5, 2, 0], [0, 0, 2, 0, 0, 1, 5, 6, 0, 1], [0, 0, 2, 0, 0, 1, 6, 3, 3, 0], [0, 0, 2, 0, 0, 1, 6, 4, 1, 1], [0, 0, 2, 0, 0, 1, 7, 1, 4, 0], [0, 0, 2, 0, 0, 1, 7, 2, 2, 1], [0, 0, 2, 0, 0, 1, 7, 3, 0, 2], [0, 0, 2, 0, 0, 1, 8, 0, 3, 1], [0, 0, 2, 0, 0, 1, 8, 1, 1, 2], [0, 0, 2, 0, 0, 1, 9, 0, 0, 3], [0, 0, 2, 0, 0, 2, 1, 10, 0, 0], [0, 0, 2, 0, 0, 2, 2, 8, 1, 0], [0, 0, 2, 0, 0, 2, 3, 6, 2, 0], [0, 0, 2, 0, 0, 2, 3, 7, 0, 1], [0, 0, 2, 0, 0, 2, 4, 4, 3, 0], [0, 0, 2, 0, 0, 2, 4, 5, 1, 1], [0, 0, 2, 0, 0, 2, 5, 2, 4, 0], [0, 0, 2, 0, 0, 2, 5, 3, 2, 1], [0, 0, 2, 0, 0, 2, 5, 4, 0, 2], [0, 0, 2, 0, 0, 2, 6, 0, 5, 0], [0, 0, 2, 0, 0, 2, 6, 1, 3, 1], [0, 0, 2, 0, 0, 2, 6, 2, 1, 2], [0, 0, 2, 0, 0, 2, 7, 0, 2, 2], [0, 0, 2, 0, 0, 2, 7, 1, 0, 3], [0, 0, 2, 0, 0, 3, 0, 9, 1, 0], [0, 0, 2, 0, 0, 3, 1, 7, 2, 0], [0, 0, 2, 0, 0, 3, 1, 8, 0, 1], [0, 0, 2, 0, 0, 3, 2, 5, 3, 0], [0, 0, 2, 0, 0, 3, 2, 6, 1, 1], [0, 0, 2, 0, 0, 3, 3, 3, 4, 0], [0, 0, 2, 0, 0, 3, 3, 4, 2, 1], [0, 0, 2, 0, 0, 3, 3, 5, 0, 2], [0, 0, 2, 0, 0, 3, 4, 1, 5, 0], [0, 0, 2, 0, 0, 3, 4, 2, 3, 1], [0, 0, 2, 0, 0, 3, 4, 3, 1, 2], [0, 0, 2, 0, 0, 3, 5, 0, 4, 1], [0, 0, 2, 0, 0, 3, 5, 1, 2, 2], [0, 0, 2, 0, 0, 3, 5, 2, 0, 3], [0, 0, 2, 0, 0, 3, 6, 0, 1, 3], [0, 0, 2, 0, 0, 4, 0, 6, 3, 0], [0, 0, 2, 0, 0, 4, 0, 7, 1, 1], [0, 0, 2, 0, 0, 4, 1, 4, 4, 0], [0, 0, 2, 0, 0, 4, 1, 5, 2, 1], [0, 0, 2, 0, 0, 4, 1, 6, 0, 2], [0, 0, 2, 0, 0, 4, 2, 2, 5, 0], [0, 0, 2, 0, 0, 4, 2, 3, 3, 1], [0, 0, 2, 0, 0, 4, 2, 4, 1, 2], [0, 0, 2, 0, 0, 4, 3, 0, 6, 0], [0, 0, 2, 0, 0, 4, 3, 1, 4, 1], [0, 0, 2, 0, 0, 4, 3, 2, 2, 2], [0, 0, 2, 0, 0, 4, 3, 3, 0, 3], [0, 0, 2, 0, 0, 4, 4, 0, 3, 2], [0, 0, 2, 0, 0, 4, 4, 1, 1, 3], [0, 0, 2, 0, 0, 4, 5, 0, 0, 4], [0, 0, 2, 0, 0, 5, 0, 3, 5, 0], [0, 0, 2, 0, 0, 5, 0, 4, 3, 1], [0, 0, 2, 0, 0, 5, 0, 5, 1, 2], [0, 0, 2, 0, 0, 5, 1, 1, 6, 0], [0, 0, 2, 0, 0, 5, 1, 2, 4, 1], [0, 0, 2, 0, 0, 5, 1, 3, 2, 2], [0, 0, 2, 0, 0, 5, 1, 4, 0, 3], [0, 0, 2, 0, 0, 5, 2, 0, 5, 1], [0, 0, 2, 0, 0, 5, 2, 1, 3, 2], [0, 0, 2, 0, 0, 5, 2, 2, 1, 3], [0, 0, 2, 0, 0, 5, 3, 0, 2, 3], [0, 0, 2, 0, 0, 5, 3, 1, 0, 4], [0, 0, 2, 0, 0, 6, 0, 0, 7, 0], [0, 0, 2, 0, 0, 6, 0, 1, 5, 1], [0, 0, 2, 0, 0, 6, 0, 2, 3, 2], [0, 0, 2, 0, 0, 6, 0, 3, 1, 3], [0, 0, 2, 0, 0, 6, 1, 0, 4, 2], [0, 0, 2, 0, 0, 6, 1, 1, 2, 3], [0, 0, 2, 0, 0, 6, 1, 2, 0, 4], [0, 0, 2, 0, 0, 6, 2, 0, 1, 4], [0, 0, 2, 0, 0, 7, 0, 0, 3, 3], [0, 0, 2, 0, 0, 7, 0, 1, 1, 4], [0, 0, 2, 0, 0, 7, 1, 0, 0, 5], [0, 0, 2, 0, 1, 0, 2, 10, 0, 0], [0, 0, 2, 0, 1, 0, 3, 8, 1, 0], [0, 0, 2, 0, 1, 0, 4, 6, 2, 0], [0, 0, 2, 0, 1, 0, 4, 7, 0, 1], [0, 0, 2, 0, 1, 0, 5, 4, 3, 0], [0, 0, 2, 0, 1, 0, 5, 5, 1, 1], [0, 0, 2, 0, 1, 0, 6, 2, 4, 0], [0, 0, 2, 0, 1, 0, 6, 3, 2, 1], [0, 0, 2, 0, 1, 0, 6, 4, 0, 2], [0, 0, 2, 0, 1, 0, 7, 0, 5, 0], [0, 0, 2, 0, 1, 0, 7, 1, 3, 1], [0, 0, 2, 0, 1, 0, 7, 2, 1, 2], [0, 0, 2, 0, 1, 0, 8, 0, 2, 2], [0, 0, 2, 0, 1, 0, 8, 1, 0, 3], [0, 0, 2, 0, 1, 1, 0, 11, 0, 0], [0, 0, 2, 0, 1, 1, 1, 9, 1, 0], [0, 0, 2, 0, 1, 1, 2, 7, 2, 0], [0, 0, 2, 0, 1, 1, 2, 8, 0, 1], [0, 0, 2, 0, 1, 1, 3, 5, 3, 0], [0, 0, 2, 0, 1, 1, 3, 6, 1, 1], [0, 0, 2, 0, 1, 1, 4, 3, 4, 0], [0, 0, 2, 0, 1, 1, 4, 4, 2, 1], [0, 0, 2, 0, 1, 1, 4, 5, 0, 2], [0, 0, 2, 0, 1, 1, 5, 1, 5, 0], [0, 0, 2, 0, 1, 1, 5, 2, 3, 1], [0, 0, 2, 0, 1, 1, 5, 3, 1, 2], [0, 0, 2, 0, 1, 1, 6, 0, 4, 1], [0, 0, 2, 0, 1, 1, 6, 1, 2, 2], [0, 0, 2, 0, 1, 1, 6, 2, 0, 3], [0, 0, 2, 0, 1, 1, 7, 0, 1, 3], [0, 0, 2, 0, 1, 2, 0, 8, 2, 0], [0, 0, 2, 0, 1, 2, 0, 9, 0, 1], [0, 0, 2, 0, 1, 2, 1, 6, 3, 0], [0, 0, 2, 0, 1, 2, 1, 7, 1, 1], [0, 0, 2, 0, 1, 2, 2, 4, 4, 0], [0, 0, 2, 0, 1, 2, 2, 5, 2, 1], [0, 0, 2, 0, 1, 2, 2, 6, 0, 2], [0, 0, 2, 0, 1, 2, 3, 2, 5, 0], [0, 0, 2, 0, 1, 2, 3, 3, 3, 1], [0, 0, 2, 0, 1, 2, 3, 4, 1, 2], [0, 0, 2, 0, 1, 2, 4, 0, 6, 0], [0, 0, 2, 0, 1, 2, 4, 1, 4, 1], [0, 0, 2, 0, 1, 2, 4, 2, 2, 2], [0, 0, 2, 0, 1, 2, 4, 3, 0, 3], [0, 0, 2, 0, 1, 2, 5, 0, 3, 2], [0, 0, 2, 0, 1, 2, 5, 1, 1, 3], [0, 0, 2, 0, 1, 2, 6, 0, 0, 4], [0, 0, 2, 0, 1, 3, 0, 5, 4, 0], [0, 0, 2, 0, 1, 3, 0, 6, 2, 1], [0, 0, 2, 0, 1, 3, 0, 7, 0, 2], [0, 0, 2, 0, 1, 3, 1, 3, 5, 0], [0, 0, 2, 0, 1, 3, 1, 4, 3, 1], [0, 0, 2, 0, 1, 3, 1, 5, 1, 2], [0, 0, 2, 0, 1, 3, 2, 1, 6, 0], [0, 0, 2, 0, 1, 3, 2, 2, 4, 1], [0, 0, 2, 0, 1, 3, 2, 3, 2, 2], [0, 0, 2, 0, 1, 3, 2, 4, 0, 3], [0, 0, 2, 0, 1, 3, 3, 0, 5, 1], [0, 0, 2, 0, 1, 3, 3, 1, 3, 2], [0, 0, 2, 0, 1, 3, 3, 2, 1, 3], [0, 0, 2, 0, 1, 3, 4, 0, 2, 3], [0, 0, 2, 0, 1, 3, 4, 1, 0, 4], [0, 0, 2, 0, 1, 4, 0, 2, 6, 0], [0, 0, 2, 0, 1, 4, 0, 3, 4, 1], [0, 0, 2, 0, 1, 4, 0, 4, 2, 2], [0, 0, 2, 0, 1, 4, 0, 5, 0, 3], [0, 0, 2, 0, 1, 4, 1, 0, 7, 0], [0, 0, 2, 0, 1, 4, 1, 1, 5, 1], [0, 0, 2, 0, 1, 4, 1, 2, 3, 2], [0, 0, 2, 0, 1, 4, 1, 3, 1, 3], [0, 0, 2, 0, 1, 4, 2, 0, 4, 2], [0, 0, 2, 0, 1, 4, 2, 1, 2, 3], [0, 0, 2, 0, 1, 4, 2, 2, 0, 4], [0, 0, 2, 0, 1, 4, 3, 0, 1, 4], [0, 0, 2, 0, 1, 5, 0, 0, 6, 1], [0, 0, 2, 0, 1, 5, 0, 1, 4, 2], [0, 0, 2, 0, 1, 5, 0, 2, 2, 3], [0, 0, 2, 0, 1, 5, 0, 3, 0, 4], [0, 0, 2, 0, 1, 5, 1, 0, 3, 3], [0, 0, 2, 0, 1, 5, 1, 1, 1, 4], [0, 0, 2, 0, 1, 5, 2, 0, 0, 5], [0, 0, 2, 0, 1, 6, 0, 0, 2, 4], [0, 0, 2, 0, 1, 6, 0, 1, 0, 5], [0, 0, 2, 0, 2, 0, 0, 10, 1, 0], [0, 0, 2, 0, 2, 0, 1, 8, 2, 0], [0, 0, 2, 0, 2, 0, 1, 9, 0, 1], [0, 0, 2, 0, 2, 0, 2, 6, 3, 0], [0, 0, 2, 0, 2, 0, 2, 7, 1, 1], [0, 0, 2, 0, 2, 0, 3, 4, 4, 0], [0, 0, 2, 0, 2, 0, 3, 5, 2, 1], [0, 0, 2, 0, 2, 0, 3, 6, 0, 2], [0, 0, 2, 0, 2, 0, 4, 2, 5, 0], [0, 0, 2, 0, 2, 0, 4, 3, 3, 1], [0, 0, 2, 0, 2, 0, 4, 4, 1, 2], [0, 0, 2, 0, 2, 0, 5, 0, 6, 0], [0, 0, 2, 0, 2, 0, 5, 1, 4, 1], [0, 0, 2, 0, 2, 0, 5, 2, 2, 2], [0, 0, 2, 0, 2, 0, 5, 3, 0, 3], [0, 0, 2, 0, 2, 0, 6, 0, 3, 2], [0, 0, 2, 0, 2, 0, 6, 1, 1, 3], [0, 0, 2, 0, 2, 0, 7, 0, 0, 4], [0, 0, 2, 0, 2, 1, 0, 7, 3, 0], [0, 0, 2, 0, 2, 1, 0, 8, 1, 1], [0, 0, 2, 0, 2, 1, 1, 5, 4, 0], [0, 0, 2, 0, 2, 1, 1, 6, 2, 1], [0, 0, 2, 0, 2, 1, 1, 7, 0, 2], [0, 0, 2, 0, 2, 1, 2, 3, 5, 0], [0, 0, 2, 0, 2, 1, 2, 4, 3, 1], [0, 0, 2, 0, 2, 1, 2, 5, 1, 2], [0, 0, 2, 0, 2, 1, 3, 1, 6, 0], [0, 0, 2, 0, 2, 1, 3, 2, 4, 1], [0, 0, 2, 0, 2, 1, 3, 3, 2, 2], [0, 0, 2, 0, 2, 1, 3, 4, 0, 3], [0, 0, 2, 0, 2, 1, 4, 0, 5, 1], [0, 0, 2, 0, 2, 1, 4, 1, 3, 2], [0, 0, 2, 0, 2, 1, 4, 2, 1, 3], [0, 0, 2, 0, 2, 1, 5, 0, 2, 3], [0, 0, 2, 0, 2, 1, 5, 1, 0, 4], [0, 0, 2, 0, 2, 2, 0, 4, 5, 0], [0, 0, 2, 0, 2, 2, 0, 5, 3, 1], [0, 0, 2, 0, 2, 2, 0, 6, 1, 2], [0, 0, 2, 0, 2, 2, 1, 2, 6, 0], [0, 0, 2, 0, 2, 2, 1, 3, 4, 1], [0, 0, 2, 0, 2, 2, 1, 4, 2, 2], [0, 0, 2, 0, 2, 2, 1, 5, 0, 3], [0, 0, 2, 0, 2, 2, 2, 0, 7, 0], [0, 0, 2, 0, 2, 2, 2, 1, 5, 1], [0, 0, 2, 0, 2, 2, 2, 2, 3, 2], [0, 0, 2, 0, 2, 2, 2, 3, 1, 3], [0, 0, 2, 0, 2, 2, 3, 0, 4, 2], [0, 0, 2, 0, 2, 2, 3, 1, 2, 3], [0, 0, 2, 0, 2, 2, 3, 2, 0, 4], [0, 0, 2, 0, 2, 2, 4, 0, 1, 4], [0, 0, 2, 0, 2, 3, 0, 1, 7, 0], [0, 0, 2, 0, 2, 3, 0, 2, 5, 1], [0, 0, 2, 0, 2, 3, 0, 3, 3, 2], [0, 0, 2, 0, 2, 3, 0, 4, 1, 3], [0, 0, 2, 0, 2, 3, 1, 0, 6, 1], [0, 0, 2, 0, 2, 3, 1, 1, 4, 2], [0, 0, 2, 0, 2, 3, 1, 2, 2, 3], [0, 0, 2, 0, 2, 3, 1, 3, 0, 4], [0, 0, 2, 0, 2, 3, 2, 0, 3, 3], [0, 0, 2, 0, 2, 3, 2, 1, 1, 4], [0, 0, 2, 0, 2, 3, 3, 0, 0, 5], [0, 0, 2, 0, 2, 4, 0, 0, 5, 2], [0, 0, 2, 0, 2, 4, 0, 1, 3, 3], [0, 0, 2, 0, 2, 4, 0, 2, 1, 4], [0, 0, 2, 0, 2, 4, 1, 0, 2, 4], [0, 0, 2, 0, 2, 4, 1, 1, 0, 5], [0, 0, 2, 0, 2, 5, 0, 0, 1, 5], [0, 0, 2, 0, 3, 0, 0, 6, 4, 0], [0, 0, 2, 0, 3, 0, 0, 7, 2, 1], [0, 0, 2, 0, 3, 0, 0, 8, 0, 2], [0, 0, 2, 0, 3, 0, 1, 4, 5, 0], [0, 0, 2, 0, 3, 0, 1, 5, 3, 1], [0, 0, 2, 0, 3, 0, 1, 6, 1, 2], [0, 0, 2, 0, 3, 0, 2, 2, 6, 0], [0, 0, 2, 0, 3, 0, 2, 3, 4, 1], [0, 0, 2, 0, 3, 0, 2, 4, 2, 2], [0, 0, 2, 0, 3, 0, 2, 5, 0, 3], [0, 0, 2, 0, 3, 0, 3, 0, 7, 0], [0, 0, 2, 0, 3, 0, 3, 1, 5, 1], [0, 0, 2, 0, 3, 0, 3, 2, 3, 2], [0, 0, 2, 0, 3, 0, 3, 3, 1, 3], [0, 0, 2, 0, 3, 0, 4, 0, 4, 2], [0, 0, 2, 0, 3, 0, 4, 1, 2, 3], [0, 0, 2, 0, 3, 0, 4, 2, 0, 4], [0, 0, 2, 0, 3, 0, 5, 0, 1, 4], [0, 0, 2, 0, 3, 1, 0, 3, 6, 0], [0, 0, 2, 0, 3, 1, 0, 4, 4, 1], [0, 0, 2, 0, 3, 1, 0, 5, 2, 2], [0, 0, 2, 0, 3, 1, 0, 6, 0, 3], [0, 0, 2, 0, 3, 1, 1, 1, 7, 0], [0, 0, 2, 0, 3, 1, 1, 2, 5, 1], [0, 0, 2, 0, 3, 1, 1, 3, 3, 2], [0, 0, 2, 0, 3, 1, 1, 4, 1, 3], [0, 0, 2, 0, 3, 1, 2, 0, 6, 1], [0, 0, 2, 0, 3, 1, 2, 1, 4, 2], [0, 0, 2, 0, 3, 1, 2, 2, 2, 3], [0, 0, 2, 0, 3, 1, 2, 3, 0, 4], [0, 0, 2, 0, 3, 1, 3, 0, 3, 3], [0, 0, 2, 0, 3, 1, 3, 1, 1, 4], [0, 0, 2, 0, 3, 1, 4, 0, 0, 5], [0, 0, 2, 0, 3, 2, 0, 0, 8, 0], [0, 0, 2, 0, 3, 2, 0, 1, 6, 1], [0, 0, 2, 0, 3, 2, 0, 2, 4, 2], [0, 0, 2, 0, 3, 2, 0, 3, 2, 3], [0, 0, 2, 0, 3, 2, 0, 4, 0, 4], [0, 0, 2, 0, 3, 2, 1, 0, 5, 2], [0, 0, 2, 0, 3, 2, 1, 1, 3, 3], [0, 0, 2, 0, 3, 2, 1, 2, 1, 4], [0, 0, 2, 0, 3, 2, 2, 0, 2, 4], [0, 0, 2, 0, 3, 2, 2, 1, 0, 5], [0, 0, 2, 0, 3, 3, 0, 0, 4, 3], [0, 0, 2, 0, 3, 3, 0, 1, 2, 4], [0, 0, 2, 0, 3, 3, 0, 2, 0, 5], [0, 0, 2, 0, 3, 3, 1, 0, 1, 5], [0, 0, 2, 0, 3, 4, 0, 0, 0, 6], [0, 0, 2, 0, 4, 0, 0, 2, 7, 0], [0, 0, 2, 0, 4, 0, 0, 3, 5, 1], [0, 0, 2, 0, 4, 0, 0, 4, 3, 2], [0, 0, 2, 0, 4, 0, 0, 5, 1, 3], [0, 0, 2, 0, 4, 0, 1, 0, 8, 0], [0, 0, 2, 0, 4, 0, 1, 1, 6, 1], [0, 0, 2, 0, 4, 0, 1, 2, 4, 2], [0, 0, 2, 0, 4, 0, 1, 3, 2, 3], [0, 0, 2, 0, 4, 0, 1, 4, 0, 4], [0, 0, 2, 0, 4, 0, 2, 0, 5, 2], [0, 0, 2, 0, 4, 0, 2, 1, 3, 3], [0, 0, 2, 0, 4, 0, 2, 2, 1, 4], [0, 0, 2, 0, 4, 0, 3, 0, 2, 4], [0, 0, 2, 0, 4, 0, 3, 1, 0, 5], [0, 0, 2, 0, 4, 1, 0, 0, 7, 1], [0, 0, 2, 0, 4, 1, 0, 1, 5, 2], [0, 0, 2, 0, 4, 1, 0, 2, 3, 3], [0, 0, 2, 0, 4, 1, 0, 3, 1, 4], [0, 0, 2, 0, 4, 1, 1, 0, 4, 3], [0, 0, 2, 0, 4, 1, 1, 1, 2, 4], [0, 0, 2, 0, 4, 1, 1, 2, 0, 5], [0, 0, 2, 0, 4, 1, 2, 0, 1, 5], [0, 0, 2, 0, 4, 2, 0, 0, 3, 4], [0, 0, 2, 0, 4, 2, 0, 1, 1, 5], [0, 0, 2, 0, 4, 2, 1, 0, 0, 6], [0, 0, 2, 0, 5, 0, 0, 0, 6, 2], [0, 0, 2, 0, 5, 0, 0, 1, 4, 3], [0, 0, 2, 0, 5, 0, 0, 2, 2, 4], [0, 0, 2, 0, 5, 0, 0, 3, 0, 5], [0, 0, 2, 0, 5, 0, 1, 0, 3, 4], [0, 0, 2, 0, 5, 0, 1, 1, 1, 5], [0, 0, 2, 0, 5, 0, 2, 0, 0, 6], [0, 0, 2, 0, 5, 1, 0, 0, 2, 5], [0, 0, 2, 0, 5, 1, 0, 1, 0, 6], [0, 0, 2, 0, 6, 0, 0, 0, 1, 6], [0, 0, 2, 1, 0, 0, 1, 11, 0, 0], [0, 0, 2, 1, 0, 0, 2, 9, 1, 0], [0, 0, 2, 1, 0, 0, 3, 7, 2, 0], [0, 0, 2, 1, 0, 0, 3, 8, 0, 1], [0, 0, 2, 1, 0, 0, 4, 5, 3, 0], [0, 0, 2, 1, 0, 0, 4, 6, 1, 1], [0, 0, 2, 1, 0, 0, 5, 3, 4, 0], [0, 0, 2, 1, 0, 0, 5, 4, 2, 1], [0, 0, 2, 1, 0, 0, 5, 5, 0, 2], [0, 0, 2, 1, 0, 0, 6, 1, 5, 0], [0, 0, 2, 1, 0, 0, 6, 2, 3, 1], [0, 0, 2, 1, 0, 0, 6, 3, 1, 2], [0, 0, 2, 1, 0, 0, 7, 0, 4, 1], [0, 0, 2, 1, 0, 0, 7, 1, 2, 2], [0, 0, 2, 1, 0, 0, 7, 2, 0, 3], [0, 0, 2, 1, 0, 0, 8, 0, 1, 3], [0, 0, 2, 1, 0, 1, 0, 10, 1, 0], [0, 0, 2, 1, 0, 1, 1, 8, 2, 0], [0, 0, 2, 1, 0, 1, 1, 9, 0, 1], [0, 0, 2, 1, 0, 1, 2, 6, 3, 0], [0, 0, 2, 1, 0, 1, 2, 7, 1, 1], [0, 0, 2, 1, 0, 1, 3, 4, 4, 0], [0, 0, 2, 1, 0, 1, 3, 5, 2, 1], [0, 0, 2, 1, 0, 1, 3, 6, 0, 2], [0, 0, 2, 1, 0, 1, 4, 2, 5, 0], [0, 0, 2, 1, 0, 1, 4, 3, 3, 1], [0, 0, 2, 1, 0, 1, 4, 4, 1, 2], [0, 0, 2, 1, 0, 1, 5, 0, 6, 0], [0, 0, 2, 1, 0, 1, 5, 1, 4, 1], [0, 0, 2, 1, 0, 1, 5, 2, 2, 2], [0, 0, 2, 1, 0, 1, 5, 3, 0, 3], [0, 0, 2, 1, 0, 1, 6, 0, 3, 2], [0, 0, 2, 1, 0, 1, 6, 1, 1, 3], [0, 0, 2, 1, 0, 1, 7, 0, 0, 4], [0, 0, 2, 1, 0, 2, 0, 7, 3, 0], [0, 0, 2, 1, 0, 2, 0, 8, 1, 1], [0, 0, 2, 1, 0, 2, 1, 5, 4, 0], [0, 0, 2, 1, 0, 2, 1, 6, 2, 1], [0, 0, 2, 1, 0, 2, 1, 7, 0, 2], [0, 0, 2, 1, 0, 2, 2, 3, 5, 0], [0, 0, 2, 1, 0, 2, 2, 4, 3, 1], [0, 0, 2, 1, 0, 2, 2, 5, 1, 2], [0, 0, 2, 1, 0, 2, 3, 1, 6, 0], [0, 0, 2, 1, 0, 2, 3, 2, 4, 1], [0, 0, 2, 1, 0, 2, 3, 3, 2, 2], [0, 0, 2, 1, 0, 2, 3, 4, 0, 3], [0, 0, 2, 1, 0, 2, 4, 0, 5, 1], [0, 0, 2, 1, 0, 2, 4, 1, 3, 2], [0, 0, 2, 1, 0, 2, 4, 2, 1, 3], [0, 0, 2, 1, 0, 2, 5, 0, 2, 3], [0, 0, 2, 1, 0, 2, 5, 1, 0, 4], [0, 0, 2, 1, 0, 3, 0, 4, 5, 0], [0, 0, 2, 1, 0, 3, 0, 5, 3, 1], [0, 0, 2, 1, 0, 3, 0, 6, 1, 2], [0, 0, 2, 1, 0, 3, 1, 2, 6, 0], [0, 0, 2, 1, 0, 3, 1, 3, 4, 1], [0, 0, 2, 1, 0, 3, 1, 4, 2, 2], [0, 0, 2, 1, 0, 3, 1, 5, 0, 3], [0, 0, 2, 1, 0, 3, 2, 0, 7, 0], [0, 0, 2, 1, 0, 3, 2, 1, 5, 1], [0, 0, 2, 1, 0, 3, 2, 2, 3, 2], [0, 0, 2, 1, 0, 3, 2, 3, 1, 3], [0, 0, 2, 1, 0, 3, 3, 0, 4, 2], [0, 0, 2, 1, 0, 3, 3, 1, 2, 3], [0, 0, 2, 1, 0, 3, 3, 2, 0, 4], [0, 0, 2, 1, 0, 3, 4, 0, 1, 4], [0, 0, 2, 1, 0, 4, 0, 1, 7, 0], [0, 0, 2, 1, 0, 4, 0, 2, 5, 1], [0, 0, 2, 1, 0, 4, 0, 3, 3, 2], [0, 0, 2, 1, 0, 4, 0, 4, 1, 3], [0, 0, 2, 1, 0, 4, 1, 0, 6, 1], [0, 0, 2, 1, 0, 4, 1, 1, 4, 2], [0, 0, 2, 1, 0, 4, 1, 2, 2, 3], [0, 0, 2, 1, 0, 4, 1, 3, 0, 4], [0, 0, 2, 1, 0, 4, 2, 0, 3, 3], [0, 0, 2, 1, 0, 4, 2, 1, 1, 4], [0, 0, 2, 1, 0, 4, 3, 0, 0, 5], [0, 0, 2, 1, 0, 5, 0, 0, 5, 2], [0, 0, 2, 1, 0, 5, 0, 1, 3, 3], [0, 0, 2, 1, 0, 5, 0, 2, 1, 4], [0, 0, 2, 1, 0, 5, 1, 0, 2, 4], [0, 0, 2, 1, 0, 5, 1, 1, 0, 5], [0, 0, 2, 1, 0, 6, 0, 0, 1, 5], [0, 0, 2, 1, 1, 0, 0, 9, 2, 0], [0, 0, 2, 1, 1, 0, 0, 10, 0, 1], [0, 0, 2, 1, 1, 0, 1, 7, 3, 0], [0, 0, 2, 1, 1, 0, 1, 8, 1, 1], [0, 0, 2, 1, 1, 0, 2, 5, 4, 0], [0, 0, 2, 1, 1, 0, 2, 6, 2, 1], [0, 0, 2, 1, 1, 0, 2, 7, 0, 2], [0, 0, 2, 1, 1, 0, 3, 3, 5, 0], [0, 0, 2, 1, 1, 0, 3, 4, 3, 1], [0, 0, 2, 1, 1, 0, 3, 5, 1, 2], [0, 0, 2, 1, 1, 0, 4, 1, 6, 0], [0, 0, 2, 1, 1, 0, 4, 2, 4, 1], [0, 0, 2, 1, 1, 0, 4, 3, 2, 2], [0, 0, 2, 1, 1, 0, 4, 4, 0, 3], [0, 0, 2, 1, 1, 0, 5, 0, 5, 1], [0, 0, 2, 1, 1, 0, 5, 1, 3, 2], [0, 0, 2, 1, 1, 0, 5, 2, 1, 3], [0, 0, 2, 1, 1, 0, 6, 0, 2, 3], [0, 0, 2, 1, 1, 0, 6, 1, 0, 4], [0, 0, 2, 1, 1, 1, 0, 6, 4, 0], [0, 0, 2, 1, 1, 1, 0, 7, 2, 1], [0, 0, 2, 1, 1, 1, 0, 8, 0, 2], [0, 0, 2, 1, 1, 1, 1, 4, 5, 0], [0, 0, 2, 1, 1, 1, 1, 5, 3, 1], [0, 0, 2, 1, 1, 1, 1, 6, 1, 2], [0, 0, 2, 1, 1, 1, 2, 2, 6, 0], [0, 0, 2, 1, 1, 1, 2, 3, 4, 1], [0, 0, 2, 1, 1, 1, 2, 4, 2, 2], [0, 0, 2, 1, 1, 1, 2, 5, 0, 3], [0, 0, 2, 1, 1, 1, 3, 0, 7, 0], [0, 0, 2, 1, 1, 1, 3, 1, 5, 1], [0, 0, 2, 1, 1, 1, 3, 2, 3, 2], [0, 0, 2, 1, 1, 1, 3, 3, 1, 3], [0, 0, 2, 1, 1, 1, 4, 0, 4, 2], [0, 0, 2, 1, 1, 1, 4, 1, 2, 3], [0, 0, 2, 1, 1, 1, 4, 2, 0, 4], [0, 0, 2, 1, 1, 1, 5, 0, 1, 4], [0, 0, 2, 1, 1, 2, 0, 3, 6, 0], [0, 0, 2, 1, 1, 2, 0, 4, 4, 1], [0, 0, 2, 1, 1, 2, 0, 5, 2, 2], [0, 0, 2, 1, 1, 2, 0, 6, 0, 3], [0, 0, 2, 1, 1, 2, 1, 1, 7, 0], [0, 0, 2, 1, 1, 2, 1, 2, 5, 1], [0, 0, 2, 1, 1, 2, 1, 3, 3, 2], [0, 0, 2, 1, 1, 2, 1, 4, 1, 3], [0, 0, 2, 1, 1, 2, 2, 0, 6, 1], [0, 0, 2, 1, 1, 2, 2, 1, 4, 2], [0, 0, 2, 1, 1, 2, 2, 2, 2, 3], [0, 0, 2, 1, 1, 2, 2, 3, 0, 4], [0, 0, 2, 1, 1, 2, 3, 0, 3, 3], [0, 0, 2, 1, 1, 2, 3, 1, 1, 4], [0, 0, 2, 1, 1, 2, 4, 0, 0, 5], [0, 0, 2, 1, 1, 3, 0, 0, 8, 0], [0, 0, 2, 1, 1, 3, 0, 1, 6, 1], [0, 0, 2, 1, 1, 3, 0, 2, 4, 2], [0, 0, 2, 1, 1, 3, 0, 3, 2, 3], [0, 0, 2, 1, 1, 3, 0, 4, 0, 4], [0, 0, 2, 1, 1, 3, 1, 0, 5, 2], [0, 0, 2, 1, 1, 3, 1, 1, 3, 3], [0, 0, 2, 1, 1, 3, 1, 2, 1, 4], [0, 0, 2, 1, 1, 3, 2, 0, 2, 4], [0, 0, 2, 1, 1, 3, 2, 1, 0, 5], [0, 0, 2, 1, 1, 4, 0, 0, 4, 3], [0, 0, 2, 1, 1, 4, 0, 1, 2, 4], [0, 0, 2, 1, 1, 4, 0, 2, 0, 5], [0, 0, 2, 1, 1, 4, 1, 0, 1, 5], [0, 0, 2, 1, 1, 5, 0, 0, 0, 6], [0, 0, 2, 1, 2, 0, 0, 5, 5, 0], [0, 0, 2, 1, 2, 0, 0, 6, 3, 1], [0, 0, 2, 1, 2, 0, 0, 7, 1, 2], [0, 0, 2, 1, 2, 0, 1, 3, 6, 0], [0, 0, 2, 1, 2, 0, 1, 4, 4, 1], [0, 0, 2, 1, 2, 0, 1, 5, 2, 2], [0, 0, 2, 1, 2, 0, 1, 6, 0, 3], [0, 0, 2, 1, 2, 0, 2, 1, 7, 0], [0, 0, 2, 1, 2, 0, 2, 2, 5, 1], [0, 0, 2, 1, 2, 0, 2, 3, 3, 2], [0, 0, 2, 1, 2, 0, 2, 4, 1, 3], [0, 0, 2, 1, 2, 0, 3, 0, 6, 1], [0, 0, 2, 1, 2, 0, 3, 1, 4, 2], [0, 0, 2, 1, 2, 0, 3, 2, 2, 3], [0, 0, 2, 1, 2, 0, 3, 3, 0, 4], [0, 0, 2, 1, 2, 0, 4, 0, 3, 3], [0, 0, 2, 1, 2, 0, 4, 1, 1, 4], [0, 0, 2, 1, 2, 0, 5, 0, 0, 5], [0, 0, 2, 1, 2, 1, 0, 2, 7, 0], [0, 0, 2, 1, 2, 1, 0, 3, 5, 1], [0, 0, 2, 1, 2, 1, 0, 4, 3, 2], [0, 0, 2, 1, 2, 1, 0, 5, 1, 3], [0, 0, 2, 1, 2, 1, 1, 0, 8, 0], [0, 0, 2, 1, 2, 1, 1, 1, 6, 1], [0, 0, 2, 1, 2, 1, 1, 2, 4, 2], [0, 0, 2, 1, 2, 1, 1, 3, 2, 3], [0, 0, 2, 1, 2, 1, 1, 4, 0, 4], [0, 0, 2, 1, 2, 1, 2, 0, 5, 2], [0, 0, 2, 1, 2, 1, 2, 1, 3, 3], [0, 0, 2, 1, 2, 1, 2, 2, 1, 4], [0, 0, 2, 1, 2, 1, 3, 0, 2, 4], [0, 0, 2, 1, 2, 1, 3, 1, 0, 5], [0, 0, 2, 1, 2, 2, 0, 0, 7, 1], [0, 0, 2, 1, 2, 2, 0, 1, 5, 2], [0, 0, 2, 1, 2, 2, 0, 2, 3, 3], [0, 0, 2, 1, 2, 2, 0, 3, 1, 4], [0, 0, 2, 1, 2, 2, 1, 0, 4, 3], [0, 0, 2, 1, 2, 2, 1, 1, 2, 4], [0, 0, 2, 1, 2, 2, 1, 2, 0, 5], [0, 0, 2, 1, 2, 2, 2, 0, 1, 5], [0, 0, 2, 1, 2, 3, 0, 0, 3, 4], [0, 0, 2, 1, 2, 3, 0, 1, 1, 5], [0, 0, 2, 1, 2, 3, 1, 0, 0, 6], [0, 0, 2, 1, 3, 0, 0, 1, 8, 0], [0, 0, 2, 1, 3, 0, 0, 2, 6, 1], [0, 0, 2, 1, 3, 0, 0, 3, 4, 2], [0, 0, 2, 1, 3, 0, 0, 4, 2, 3], [0, 0, 2, 1, 3, 0, 0, 5, 0, 4], [0, 0, 2, 1, 3, 0, 1, 0, 7, 1], [0, 0, 2, 1, 3, 0, 1, 1, 5, 2], [0, 0, 2, 1, 3, 0, 1, 2, 3, 3], [0, 0, 2, 1, 3, 0, 1, 3, 1, 4], [0, 0, 2, 1, 3, 0, 2, 0, 4, 3], [0, 0, 2, 1, 3, 0, 2, 1, 2, 4], [0, 0, 2, 1, 3, 0, 2, 2, 0, 5], [0, 0, 2, 1, 3, 0, 3, 0, 1, 5], [0, 0, 2, 1, 3, 1, 0, 0, 6, 2], [0, 0, 2, 1, 3, 1, 0, 1, 4, 3], [0, 0, 2, 1, 3, 1, 0, 2, 2, 4], [0, 0, 2, 1, 3, 1, 0, 3, 0, 5], [0, 0, 2, 1, 3, 1, 1, 0, 3, 4], [0, 0, 2, 1, 3, 1, 1, 1, 1, 5], [0, 0, 2, 1, 3, 1, 2, 0, 0, 6], [0, 0, 2, 1, 3, 2, 0, 0, 2, 5], [0, 0, 2, 1, 3, 2, 0, 1, 0, 6], [0, 0, 2, 1, 4, 0, 0, 0, 5, 3], [0, 0, 2, 1, 4, 0, 0, 1, 3, 4], [0, 0, 2, 1, 4, 0, 0, 2, 1, 5], [0, 0, 2, 1, 4, 0, 1, 0, 2, 5], [0, 0, 2, 1, 4, 0, 1, 1, 0, 6], [0, 0, 2, 1, 4, 1, 0, 0, 1, 6], [0, 0, 2, 1, 5, 0, 0, 0, 0, 7], [0, 0, 2, 2, 0, 0, 0, 8, 3, 0], [0, 0, 2, 2, 0, 0, 0, 9, 1, 1], [0, 0, 2, 2, 0, 0, 1, 6, 4, 0], [0, 0, 2, 2, 0, 0, 1, 7, 2, 1], [0, 0, 2, 2, 0, 0, 1, 8, 0, 2], [0, 0, 2, 2, 0, 0, 2, 4, 5, 0], [0, 0, 2, 2, 0, 0, 2, 5, 3, 1], [0, 0, 2, 2, 0, 0, 2, 6, 1, 2], [0, 0, 2, 2, 0, 0, 3, 2, 6, 0], [0, 0, 2, 2, 0, 0, 3, 3, 4, 1], [0, 0, 2, 2, 0, 0, 3, 4, 2, 2], [0, 0, 2, 2, 0, 0, 3, 5, 0, 3], [0, 0, 2, 2, 0, 0, 4, 0, 7, 0], [0, 0, 2, 2, 0, 0, 4, 1, 5, 1], [0, 0, 2, 2, 0, 0, 4, 2, 3, 2], [0, 0, 2, 2, 0, 0, 4, 3, 1, 3], [0, 0, 2, 2, 0, 0, 5, 0, 4, 2], [0, 0, 2, 2, 0, 0, 5, 1, 2, 3], [0, 0, 2, 2, 0, 0, 5, 2, 0, 4], [0, 0, 2, 2, 0, 0, 6, 0, 1, 4], [0, 0, 2, 2, 0, 1, 0, 5, 5, 0], [0, 0, 2, 2, 0, 1, 0, 6, 3, 1], [0, 0, 2, 2, 0, 1, 0, 7, 1, 2], [0, 0, 2, 2, 0, 1, 1, 3, 6, 0], [0, 0, 2, 2, 0, 1, 1, 4, 4, 1], [0, 0, 2, 2, 0, 1, 1, 5, 2, 2], [0, 0, 2, 2, 0, 1, 1, 6, 0, 3], [0, 0, 2, 2, 0, 1, 2, 1, 7, 0], [0, 0, 2, 2, 0, 1, 2, 2, 5, 1], [0, 0, 2, 2, 0, 1, 2, 3, 3, 2], [0, 0, 2, 2, 0, 1, 2, 4, 1, 3], [0, 0, 2, 2, 0, 1, 3, 0, 6, 1], [0, 0, 2, 2, 0, 1, 3, 1, 4, 2], [0, 0, 2, 2, 0, 1, 3, 2, 2, 3], [0, 0, 2, 2, 0, 1, 3, 3, 0, 4], [0, 0, 2, 2, 0, 1, 4, 0, 3, 3], [0, 0, 2, 2, 0, 1, 4, 1, 1, 4], [0, 0, 2, 2, 0, 1, 5, 0, 0, 5], [0, 0, 2, 2, 0, 2, 0, 2, 7, 0], [0, 0, 2, 2, 0, 2, 0, 3, 5, 1], [0, 0, 2, 2, 0, 2, 0, 4, 3, 2], [0, 0, 2, 2, 0, 2, 0, 5, 1, 3], [0, 0, 2, 2, 0, 2, 1, 0, 8, 0], [0, 0, 2, 2, 0, 2, 1, 1, 6, 1], [0, 0, 2, 2, 0, 2, 1, 2, 4, 2], [0, 0, 2, 2, 0, 2, 1, 3, 2, 3], [0, 0, 2, 2, 0, 2, 1, 4, 0, 4], [0, 0, 2, 2, 0, 2, 2, 0, 5, 2], [0, 0, 2, 2, 0, 2, 2, 1, 3, 3], [0, 0, 2, 2, 0, 2, 2, 2, 1, 4], [0, 0, 2, 2, 0, 2, 3, 0, 2, 4], [0, 0, 2, 2, 0, 2, 3, 1, 0, 5], [0, 0, 2, 2, 0, 3, 0, 0, 7, 1], [0, 0, 2, 2, 0, 3, 0, 1, 5, 2], [0, 0, 2, 2, 0, 3, 0, 2, 3, 3], [0, 0, 2, 2, 0, 3, 0, 3, 1, 4], [0, 0, 2, 2, 0, 3, 1, 0, 4, 3], [0, 0, 2, 2, 0, 3, 1, 1, 2, 4], [0, 0, 2, 2, 0, 3, 1, 2, 0, 5], [0, 0, 2, 2, 0, 3, 2, 0, 1, 5], [0, 0, 2, 2, 0, 4, 0, 0, 3, 4], [0, 0, 2, 2, 0, 4, 0, 1, 1, 5], [0, 0, 2, 2, 0, 4, 1, 0, 0, 6], [0, 0, 2, 2, 1, 0, 0, 4, 6, 0], [0, 0, 2, 2, 1, 0, 0, 5, 4, 1], [0, 0, 2, 2, 1, 0, 0, 6, 2, 2], [0, 0, 2, 2, 1, 0, 0, 7, 0, 3], [0, 0, 2, 2, 1, 0, 1, 2, 7, 0], [0, 0, 2, 2, 1, 0, 1, 3, 5, 1], [0, 0, 2, 2, 1, 0, 1, 4, 3, 2], [0, 0, 2, 2, 1, 0, 1, 5, 1, 3], [0, 0, 2, 2, 1, 0, 2, 0, 8, 0], [0, 0, 2, 2, 1, 0, 2, 1, 6, 1], [0, 0, 2, 2, 1, 0, 2, 2, 4, 2], [0, 0, 2, 2, 1, 0, 2, 3, 2, 3], [0, 0, 2, 2, 1, 0, 2, 4, 0, 4], [0, 0, 2, 2, 1, 0, 3, 0, 5, 2], [0, 0, 2, 2, 1, 0, 3, 1, 3, 3], [0, 0, 2, 2, 1, 0, 3, 2, 1, 4], [0, 0, 2, 2, 1, 0, 4, 0, 2, 4], [0, 0, 2, 2, 1, 0, 4, 1, 0, 5], [0, 0, 2, 2, 1, 1, 0, 1, 8, 0], [0, 0, 2, 2, 1, 1, 0, 2, 6, 1], [0, 0, 2, 2, 1, 1, 0, 3, 4, 2], [0, 0, 2, 2, 1, 1, 0, 4, 2, 3], [0, 0, 2, 2, 1, 1, 0, 5, 0, 4], [0, 0, 2, 2, 1, 1, 1, 0, 7, 1], [0, 0, 2, 2, 1, 1, 1, 1, 5, 2], [0, 0, 2, 2, 1, 1, 1, 2, 3, 3], [0, 0, 2, 2, 1, 1, 1, 3, 1, 4], [0, 0, 2, 2, 1, 1, 2, 0, 4, 3], [0, 0, 2, 2, 1, 1, 2, 1, 2, 4], [0, 0, 2, 2, 1, 1, 2, 2, 0, 5], [0, 0, 2, 2, 1, 1, 3, 0, 1, 5], [0, 0, 2, 2, 1, 2, 0, 0, 6, 2], [0, 0, 2, 2, 1, 2, 0, 1, 4, 3], [0, 0, 2, 2, 1, 2, 0, 2, 2, 4], [0, 0, 2, 2, 1, 2, 0, 3, 0, 5], [0, 0, 2, 2, 1, 2, 1, 0, 3, 4], [0, 0, 2, 2, 1, 2, 1, 1, 1, 5], [0, 0, 2, 2, 1, 2, 2, 0, 0, 6], [0, 0, 2, 2, 1, 3, 0, 0, 2, 5], [0, 0, 2, 2, 1, 3, 0, 1, 0, 6], [0, 0, 2, 2, 2, 0, 0, 0, 9, 0], [0, 0, 2, 2, 2, 0, 0, 1, 7, 1], [0, 0, 2, 2, 2, 0, 0, 2, 5, 2], [0, 0, 2, 2, 2, 0, 0, 3, 3, 3], [0, 0, 2, 2, 2, 0, 0, 4, 1, 4], [0, 0, 2, 2, 2, 0, 1, 0, 6, 2], [0, 0, 2, 2, 2, 0, 1, 1, 4, 3], [0, 0, 2, 2, 2, 0, 1, 2, 2, 4], [0, 0, 2, 2, 2, 0, 1, 3, 0, 5], [0, 0, 2, 2, 2, 0, 2, 0, 3, 4], [0, 0, 2, 2, 2, 0, 2, 1, 1, 5], [0, 0, 2, 2, 2, 0, 3, 0, 0, 6], [0, 0, 2, 2, 2, 1, 0, 0, 5, 3], [0, 0, 2, 2, 2, 1, 0, 1, 3, 4], [0, 0, 2, 2, 2, 1, 0, 2, 1, 5], [0, 0, 2, 2, 2, 1, 1, 0, 2, 5], [0, 0, 2, 2, 2, 1, 1, 1, 0, 6], [0, 0, 2, 2, 2, 2, 0, 0, 1, 6], [0, 0, 2, 2, 3, 0, 0, 0, 4, 4], [0, 0, 2, 2, 3, 0, 0, 1, 2, 5], [0, 0, 2, 2, 3, 0, 0, 2, 0, 6], [0, 0, 2, 2, 3, 0, 1, 0, 1, 6], [0, 0, 2, 2, 3, 1, 0, 0, 0, 7], [0, 0, 2, 3, 0, 0, 0, 3, 7, 0], [0, 0, 2, 3, 0, 0, 0, 4, 5, 1], [0, 0, 2, 3, 0, 0, 0, 5, 3, 2], [0, 0, 2, 3, 0, 0, 0, 6, 1, 3], [0, 0, 2, 3, 0, 0, 1, 1, 8, 0], [0, 0, 2, 3, 0, 0, 1, 2, 6, 1], [0, 0, 2, 3, 0, 0, 1, 3, 4, 2], [0, 0, 2, 3, 0, 0, 1, 4, 2, 3], [0, 0, 2, 3, 0, 0, 1, 5, 0, 4], [0, 0, 2, 3, 0, 0, 2, 0, 7, 1], [0, 0, 2, 3, 0, 0, 2, 1, 5, 2], [0, 0, 2, 3, 0, 0, 2, 2, 3, 3], [0, 0, 2, 3, 0, 0, 2, 3, 1, 4], [0, 0, 2, 3, 0, 0, 3, 0, 4, 3], [0, 0, 2, 3, 0, 0, 3, 1, 2, 4], [0, 0, 2, 3, 0, 0, 3, 2, 0, 5], [0, 0, 2, 3, 0, 0, 4, 0, 1, 5], [0, 0, 2, 3, 0, 1, 0, 0, 9, 0], [0, 0, 2, 3, 0, 1, 0, 1, 7, 1], [0, 0, 2, 3, 0, 1, 0, 2, 5, 2], [0, 0, 2, 3, 0, 1, 0, 3, 3, 3], [0, 0, 2, 3, 0, 1, 0, 4, 1, 4], [0, 0, 2, 3, 0, 1, 1, 0, 6, 2], [0, 0, 2, 3, 0, 1, 1, 1, 4, 3], [0, 0, 2, 3, 0, 1, 1, 2, 2, 4], [0, 0, 2, 3, 0, 1, 1, 3, 0, 5], [0, 0, 2, 3, 0, 1, 2, 0, 3, 4], [0, 0, 2, 3, 0, 1, 2, 1, 1, 5], [0, 0, 2, 3, 0, 1, 3, 0, 0, 6], [0, 0, 2, 3, 0, 2, 0, 0, 5, 3], [0, 0, 2, 3, 0, 2, 0, 1, 3, 4], [0, 0, 2, 3, 0, 2, 0, 2, 1, 5], [0, 0, 2, 3, 0, 2, 1, 0, 2, 5], [0, 0, 2, 3, 0, 2, 1, 1, 0, 6], [0, 0, 2, 3, 0, 3, 0, 0, 1, 6], [0, 0, 2, 3, 1, 0, 0, 0, 8, 1], [0, 0, 2, 3, 1, 0, 0, 1, 6, 2], [0, 0, 2, 3, 1, 0, 0, 2, 4, 3], [0, 0, 2, 3, 1, 0, 0, 3, 2, 4], [0, 0, 2, 3, 1, 0, 0, 4, 0, 5], [0, 0, 2, 3, 1, 0, 1, 0, 5, 3], [0, 0, 2, 3, 1, 0, 1, 1, 3, 4], [0, 0, 2, 3, 1, 0, 1, 2, 1, 5], [0, 0, 2, 3, 1, 0, 2, 0, 2, 5], [0, 0, 2, 3, 1, 0, 2, 1, 0, 6], [0, 0, 2, 3, 1, 1, 0, 0, 4, 4], [0, 0, 2, 3, 1, 1, 0, 1, 2, 5], [0, 0, 2, 3, 1, 1, 0, 2, 0, 6], [0, 0, 2, 3, 1, 1, 1, 0, 1, 6], [0, 0, 2, 3, 1, 2, 0, 0, 0, 7], [0, 0, 2, 3, 2, 0, 0, 0, 3, 5], [0, 0, 2, 3, 2, 0, 0, 1, 1, 6], [0, 0, 2, 3, 2, 0, 1, 0, 0, 7], [0, 0, 2, 4, 0, 0, 0, 0, 7, 2], [0, 0, 2, 4, 0, 0, 0, 1, 5, 3], [0, 0, 2, 4, 0, 0, 0, 2, 3, 4], [0, 0, 2, 4, 0, 0, 0, 3, 1, 5], [0, 0, 2, 4, 0, 0, 1, 0, 4, 4], [0, 0, 2, 4, 0, 0, 1, 1, 2, 5], [0, 0, 2, 4, 0, 0, 1, 2, 0, 6], [0, 0, 2, 4, 0, 0, 2, 0, 1, 6], [0, 0, 2, 4, 0, 1, 0, 0, 3, 5], [0, 0, 2, 4, 0, 1, 0, 1, 1, 6], [0, 0, 2, 4, 0, 1, 1, 0, 0, 7], [0, 0, 2, 4, 1, 0, 0, 0, 2, 6], [0, 0, 2, 4, 1, 0, 0, 1, 0, 7], [0, 0, 2, 5, 0, 0, 0, 0, 1, 7], [0, 0, 3, 0, 0, 0, 0, 12, 0, 0], [0, 0, 3, 0, 0, 0, 1, 10, 1, 0], [0, 0, 3, 0, 0, 0, 2, 8, 2, 0], [0, 0, 3, 0, 0, 0, 2, 9, 0, 1], [0, 0, 3, 0, 0, 0, 3, 6, 3, 0], [0, 0, 3, 0, 0, 0, 3, 7, 1, 1], [0, 0, 3, 0, 0, 0, 4, 4, 4, 0], [0, 0, 3, 0, 0, 0, 4, 5, 2, 1], [0, 0, 3, 0, 0, 0, 4, 6, 0, 2], [0, 0, 3, 0, 0, 0, 5, 2, 5, 0], [0, 0, 3, 0, 0, 0, 5, 3, 3, 1], [0, 0, 3, 0, 0, 0, 5, 4, 1, 2], [0, 0, 3, 0, 0, 0, 6, 0, 6, 0], [0, 0, 3, 0, 0, 0, 6, 1, 4, 1], [0, 0, 3, 0, 0, 0, 6, 2, 2, 2], [0, 0, 3, 0, 0, 0, 6, 3, 0, 3], [0, 0, 3, 0, 0, 0, 7, 0, 3, 2], [0, 0, 3, 0, 0, 0, 7, 1, 1, 3], [0, 0, 3, 0, 0, 0, 8, 0, 0, 4], [0, 0, 3, 0, 0, 1, 0, 9, 2, 0], [0, 0, 3, 0, 0, 1, 0, 10, 0, 1], [0, 0, 3, 0, 0, 1, 1, 7, 3, 0], [0, 0, 3, 0, 0, 1, 1, 8, 1, 1], [0, 0, 3, 0, 0, 1, 2, 5, 4, 0], [0, 0, 3, 0, 0, 1, 2, 6, 2, 1], [0, 0, 3, 0, 0, 1, 2, 7, 0, 2], [0, 0, 3, 0, 0, 1, 3, 3, 5, 0], [0, 0, 3, 0, 0, 1, 3, 4, 3, 1], [0, 0, 3, 0, 0, 1, 3, 5, 1, 2], [0, 0, 3, 0, 0, 1, 4, 1, 6, 0], [0, 0, 3, 0, 0, 1, 4, 2, 4, 1], [0, 0, 3, 0, 0, 1, 4, 3, 2, 2], [0, 0, 3, 0, 0, 1, 4, 4, 0, 3], [0, 0, 3, 0, 0, 1, 5, 0, 5, 1], [0, 0, 3, 0, 0, 1, 5, 1, 3, 2], [0, 0, 3, 0, 0, 1, 5, 2, 1, 3], [0, 0, 3, 0, 0, 1, 6, 0, 2, 3], [0, 0, 3, 0, 0, 1, 6, 1, 0, 4], [0, 0, 3, 0, 0, 2, 0, 6, 4, 0], [0, 0, 3, 0, 0, 2, 0, 7, 2, 1], [0, 0, 3, 0, 0, 2, 0, 8, 0, 2], [0, 0, 3, 0, 0, 2, 1, 4, 5, 0], [0, 0, 3, 0, 0, 2, 1, 5, 3, 1], [0, 0, 3, 0, 0, 2, 1, 6, 1, 2], [0, 0, 3, 0, 0, 2, 2, 2, 6, 0], [0, 0, 3, 0, 0, 2, 2, 3, 4, 1], [0, 0, 3, 0, 0, 2, 2, 4, 2, 2], [0, 0, 3, 0, 0, 2, 2, 5, 0, 3], [0, 0, 3, 0, 0, 2, 3, 0, 7, 0], [0, 0, 3, 0, 0, 2, 3, 1, 5, 1], [0, 0, 3, 0, 0, 2, 3, 2, 3, 2], [0, 0, 3, 0, 0, 2, 3, 3, 1, 3], [0, 0, 3, 0, 0, 2, 4, 0, 4, 2], [0, 0, 3, 0, 0, 2, 4, 1, 2, 3], [0, 0, 3, 0, 0, 2, 4, 2, 0, 4], [0, 0, 3, 0, 0, 2, 5, 0, 1, 4], [0, 0, 3, 0, 0, 3, 0, 3, 6, 0], [0, 0, 3, 0, 0, 3, 0, 4, 4, 1], [0, 0, 3, 0, 0, 3, 0, 5, 2, 2], [0, 0, 3, 0, 0, 3, 0, 6, 0, 3], [0, 0, 3, 0, 0, 3, 1, 1, 7, 0], [0, 0, 3, 0, 0, 3, 1, 2, 5, 1], [0, 0, 3, 0, 0, 3, 1, 3, 3, 2], [0, 0, 3, 0, 0, 3, 1, 4, 1, 3], [0, 0, 3, 0, 0, 3, 2, 0, 6, 1], [0, 0, 3, 0, 0, 3, 2, 1, 4, 2], [0, 0, 3, 0, 0, 3, 2, 2, 2, 3], [0, 0, 3, 0, 0, 3, 2, 3, 0, 4], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 1, 1, 4], [0, 0, 3, 0, 0, 3, 4, 0, 0, 5], [0, 0, 3, 0, 0, 4, 0, 0, 8, 0], [0, 0, 3, 0, 0, 4, 0, 1, 6, 1], [0, 0, 3, 0, 0, 4, 0, 2, 4, 2], [0, 0, 3, 0, 0, 4, 0, 3, 2, 3], [0, 0, 3, 0, 0, 4, 0, 4, 0, 4], [0, 0, 3, 0, 0, 4, 1, 0, 5, 2], [0, 0, 3, 0, 0, 4, 1, 1, 3, 3], [0, 0, 3, 0, 0, 4, 1, 2, 1, 4], [0, 0, 3, 0, 0, 4, 2, 0, 2, 4], [0, 0, 3, 0, 0, 4, 2, 1, 0, 5], [0, 0, 3, 0, 0, 5, 0, 0, 4, 3], [0, 0, 3, 0, 0, 5, 0, 1, 2, 4], [0, 0, 3, 0, 0, 5, 0, 2, 0, 5], [0, 0, 3, 0, 0, 5, 1, 0, 1, 5], [0, 0, 3, 0, 0, 6, 0, 0, 0, 6], [0, 0, 3, 0, 1, 0, 0, 8, 3, 0], [0, 0, 3, 0, 1, 0, 0, 9, 1, 1], [0, 0, 3, 0, 1, 0, 1, 6, 4, 0], [0, 0, 3, 0, 1, 0, 1, 7, 2, 1], [0, 0, 3, 0, 1, 0, 1, 8, 0, 2], [0, 0, 3, 0, 1, 0, 2, 4, 5, 0], [0, 0, 3, 0, 1, 0, 2, 5, 3, 1], [0, 0, 3, 0, 1, 0, 2, 6, 1, 2], [0, 0, 3, 0, 1, 0, 3, 2, 6, 0], [0, 0, 3, 0, 1, 0, 3, 3, 4, 1], [0, 0, 3, 0, 1, 0, 3, 4, 2, 2], [0, 0, 3, 0, 1, 0, 3, 5, 0, 3], [0, 0, 3, 0, 1, 0, 4, 0, 7, 0], [0, 0, 3, 0, 1, 0, 4, 1, 5, 1], [0, 0, 3, 0, 1, 0, 4, 2, 3, 2], [0, 0, 3, 0, 1, 0, 4, 3, 1, 3], [0, 0, 3, 0, 1, 0, 5, 0, 4, 2], [0, 0, 3, 0, 1, 0, 5, 1, 2, 3], [0, 0, 3, 0, 1, 0, 5, 2, 0, 4], [0, 0, 3, 0, 1, 0, 6, 0, 1, 4], [0, 0, 3, 0, 1, 1, 0, 5, 5, 0], [0, 0, 3, 0, 1, 1, 0, 6, 3, 1], [0, 0, 3, 0, 1, 1, 0, 7, 1, 2], [0, 0, 3, 0, 1, 1, 1, 3, 6, 0], [0, 0, 3, 0, 1, 1, 1, 4, 4, 1], [0, 0, 3, 0, 1, 1, 1, 5, 2, 2], [0, 0, 3, 0, 1, 1, 1, 6, 0, 3], [0, 0, 3, 0, 1, 1, 2, 1, 7, 0], [0, 0, 3, 0, 1, 1, 2, 2, 5, 1], [0, 0, 3, 0, 1, 1, 2, 3, 3, 2], [0, 0, 3, 0, 1, 1, 2, 4, 1, 3], [0, 0, 3, 0, 1, 1, 3, 0, 6, 1], [0, 0, 3, 0, 1, 1, 3, 1, 4, 2], [0, 0, 3, 0, 1, 1, 3, 2, 2, 3], [0, 0, 3, 0, 1, 1, 3, 3, 0, 4], [0, 0, 3, 0, 1, 1, 4, 0, 3, 3], [0, 0, 3, 0, 1, 1, 4, 1, 1, 4], [0, 0, 3, 0, 1, 1, 5, 0, 0, 5], [0, 0, 3, 0, 1, 2, 0, 2, 7, 0], [0, 0, 3, 0, 1, 2, 0, 3, 5, 1], [0, 0, 3, 0, 1, 2, 0, 4, 3, 2], [0, 0, 3, 0, 1, 2, 0, 5, 1, 3], [0, 0, 3, 0, 1, 2, 1, 0, 8, 0], [0, 0, 3, 0, 1, 2, 1, 1, 6, 1], [0, 0, 3, 0, 1, 2, 1, 2, 4, 2], [0, 0, 3, 0, 1, 2, 1, 3, 2, 3], [0, 0, 3, 0, 1, 2, 1, 4, 0, 4], [0, 0, 3, 0, 1, 2, 2, 0, 5, 2], [0, 0, 3, 0, 1, 2, 2, 1, 3, 3], [0, 0, 3, 0, 1, 2, 2, 2, 1, 4], [0, 0, 3, 0, 1, 2, 3, 0, 2, 4], [0, 0, 3, 0, 1, 2, 3, 1, 0, 5], [0, 0, 3, 0, 1, 3, 0, 0, 7, 1], [0, 0, 3, 0, 1, 3, 0, 1, 5, 2], [0, 0, 3, 0, 1, 3, 0, 2, 3, 3], [0, 0, 3, 0, 1, 3, 0, 3, 1, 4], [0, 0, 3, 0, 1, 3, 1, 0, 4, 3], [0, 0, 3, 0, 1, 3, 1, 1, 2, 4], [0, 0, 3, 0, 1, 3, 1, 2, 0, 5], [0, 0, 3, 0, 1, 3, 2, 0, 1, 5], [0, 0, 3, 0, 1, 4, 0, 0, 3, 4], [0, 0, 3, 0, 1, 4, 0, 1, 1, 5], [0, 0, 3, 0, 1, 4, 1, 0, 0, 6], [0, 0, 3, 0, 2, 0, 0, 4, 6, 0], [0, 0, 3, 0, 2, 0, 0, 5, 4, 1], [0, 0, 3, 0, 2, 0, 0, 6, 2, 2], [0, 0, 3, 0, 2, 0, 0, 7, 0, 3], [0, 0, 3, 0, 2, 0, 1, 2, 7, 0], [0, 0, 3, 0, 2, 0, 1, 3, 5, 1], [0, 0, 3, 0, 2, 0, 1, 4, 3, 2], [0, 0, 3, 0, 2, 0, 1, 5, 1, 3], [0, 0, 3, 0, 2, 0, 2, 0, 8, 0], [0, 0, 3, 0, 2, 0, 2, 1, 6, 1], [0, 0, 3, 0, 2, 0, 2, 2, 4, 2], [0, 0, 3, 0, 2, 0, 2, 3, 2, 3], [0, 0, 3, 0, 2, 0, 2, 4, 0, 4], [0, 0, 3, 0, 2, 0, 3, 0, 5, 2], [0, 0, 3, 0, 2, 0, 3, 1, 3, 3], [0, 0, 3, 0, 2, 0, 3, 2, 1, 4], [0, 0, 3, 0, 2, 0, 4, 0, 2, 4], [0, 0, 3, 0, 2, 0, 4, 1, 0, 5], [0, 0, 3, 0, 2, 1, 0, 1, 8, 0], [0, 0, 3, 0, 2, 1, 0, 2, 6, 1], [0, 0, 3, 0, 2, 1, 0, 3, 4, 2], [0, 0, 3, 0, 2, 1, 0, 4, 2, 3], [0, 0, 3, 0, 2, 1, 0, 5, 0, 4], [0, 0, 3, 0, 2, 1, 1, 0, 7, 1], [0, 0, 3, 0, 2, 1, 1, 1, 5, 2], [0, 0, 3, 0, 2, 1, 1, 2, 3, 3], [0, 0, 3, 0, 2, 1, 1, 3, 1, 4], [0, 0, 3, 0, 2, 1, 2, 0, 4, 3], [0, 0, 3, 0, 2, 1, 2, 1, 2, 4], [0, 0, 3, 0, 2, 1, 2, 2, 0, 5], [0, 0, 3, 0, 2, 1, 3, 0, 1, 5], [0, 0, 3, 0, 2, 2, 0, 0, 6, 2], [0, 0, 3, 0, 2, 2, 0, 1, 4, 3], [0, 0, 3, 0, 2, 2, 0, 2, 2, 4], [0, 0, 3, 0, 2, 2, 0, 3, 0, 5], [0, 0, 3, 0, 2, 2, 1, 0, 3, 4], [0, 0, 3, 0, 2, 2, 1, 1, 1, 5], [0, 0, 3, 0, 2, 2, 2, 0, 0, 6], [0, 0, 3, 0, 2, 3, 0, 0, 2, 5], [0, 0, 3, 0, 2, 3, 0, 1, 0, 6], [0, 0, 3, 0, 3, 0, 0, 0, 9, 0], [0, 0, 3, 0, 3, 0, 0, 1, 7, 1], [0, 0, 3, 0, 3, 0, 0, 2, 5, 2], [0, 0, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 3, 0, 0, 4, 1, 4], [0, 0, 3, 0, 3, 0, 1, 0, 6, 2], [0, 0, 3, 0, 3, 0, 1, 1, 4, 3], [0, 0, 3, 0, 3, 0, 1, 2, 2, 4], [0, 0, 3, 0, 3, 0, 1, 3, 0, 5], [0, 0, 3, 0, 3, 0, 2, 0, 3, 4], [0, 0, 3, 0, 3, 0, 2, 1, 1, 5], [0, 0, 3, 0, 3, 0, 3, 0, 0, 6], [0, 0, 3, 0, 3, 1, 0, 0, 5, 3], [0, 0, 3, 0, 3, 1, 0, 1, 3, 4], [0, 0, 3, 0, 3, 1, 0, 2, 1, 5], [0, 0, 3, 0, 3, 1, 1, 0, 2, 5], [0, 0, 3, 0, 3, 1, 1, 1, 0, 6], [0, 0, 3, 0, 3, 2, 0, 0, 1, 6], [0, 0, 3, 0, 4, 0, 0, 0, 4, 4], [0, 0, 3, 0, 4, 0, 0, 1, 2, 5], [0, 0, 3, 0, 4, 0, 0, 2, 0, 6], [0, 0, 3, 0, 4, 0, 1, 0, 1, 6], [0, 0, 3, 0, 4, 1, 0, 0, 0, 7], [0, 0, 3, 1, 0, 0, 0, 7, 4, 0], [0, 0, 3, 1, 0, 0, 0, 8, 2, 1], [0, 0, 3, 1, 0, 0, 0, 9, 0, 2], [0, 0, 3, 1, 0, 0, 1, 5, 5, 0], [0, 0, 3, 1, 0, 0, 1, 6, 3, 1], [0, 0, 3, 1, 0, 0, 1, 7, 1, 2], [0, 0, 3, 1, 0, 0, 2, 3, 6, 0], [0, 0, 3, 1, 0, 0, 2, 4, 4, 1], [0, 0, 3, 1, 0, 0, 2, 5, 2, 2], [0, 0, 3, 1, 0, 0, 2, 6, 0, 3], [0, 0, 3, 1, 0, 0, 3, 1, 7, 0], [0, 0, 3, 1, 0, 0, 3, 2, 5, 1], [0, 0, 3, 1, 0, 0, 3, 3, 3, 2], [0, 0, 3, 1, 0, 0, 3, 4, 1, 3], [0, 0, 3, 1, 0, 0, 4, 0, 6, 1], [0, 0, 3, 1, 0, 0, 4, 1, 4, 2], [0, 0, 3, 1, 0, 0, 4, 2, 2, 3], [0, 0, 3, 1, 0, 0, 4, 3, 0, 4], [0, 0, 3, 1, 0, 0, 5, 0, 3, 3], [0, 0, 3, 1, 0, 0, 5, 1, 1, 4], [0, 0, 3, 1, 0, 0, 6, 0, 0, 5], [0, 0, 3, 1, 0, 1, 0, 4, 6, 0], [0, 0, 3, 1, 0, 1, 0, 5, 4, 1], [0, 0, 3, 1, 0, 1, 0, 6, 2, 2], [0, 0, 3, 1, 0, 1, 0, 7, 0, 3], [0, 0, 3, 1, 0, 1, 1, 2, 7, 0], [0, 0, 3, 1, 0, 1, 1, 3, 5, 1], [0, 0, 3, 1, 0, 1, 1, 4, 3, 2], [0, 0, 3, 1, 0, 1, 1, 5, 1, 3], [0, 0, 3, 1, 0, 1, 2, 0, 8, 0], [0, 0, 3, 1, 0, 1, 2, 1, 6, 1], [0, 0, 3, 1, 0, 1, 2, 2, 4, 2], [0, 0, 3, 1, 0, 1, 2, 3, 2, 3], [0, 0, 3, 1, 0, 1, 2, 4, 0, 4], [0, 0, 3, 1, 0, 1, 3, 0, 5, 2], [0, 0, 3, 1, 0, 1, 3, 1, 3, 3], [0, 0, 3, 1, 0, 1, 3, 2, 1, 4], [0, 0, 3, 1, 0, 1, 4, 0, 2, 4], [0, 0, 3, 1, 0, 1, 4, 1, 0, 5], [0, 0, 3, 1, 0, 2, 0, 1, 8, 0], [0, 0, 3, 1, 0, 2, 0, 2, 6, 1], [0, 0, 3, 1, 0, 2, 0, 3, 4, 2], [0, 0, 3, 1, 0, 2, 0, 4, 2, 3], [0, 0, 3, 1, 0, 2, 0, 5, 0, 4], [0, 0, 3, 1, 0, 2, 1, 0, 7, 1], [0, 0, 3, 1, 0, 2, 1, 1, 5, 2], [0, 0, 3, 1, 0, 2, 1, 2, 3, 3], [0, 0, 3, 1, 0, 2, 1, 3, 1, 4], [0, 0, 3, 1, 0, 2, 2, 0, 4, 3], [0, 0, 3, 1, 0, 2, 2, 1, 2, 4], [0, 0, 3, 1, 0, 2, 2, 2, 0, 5], [0, 0, 3, 1, 0, 2, 3, 0, 1, 5], [0, 0, 3, 1, 0, 3, 0, 0, 6, 2], [0, 0, 3, 1, 0, 3, 0, 1, 4, 3], [0, 0, 3, 1, 0, 3, 0, 2, 2, 4], [0, 0, 3, 1, 0, 3, 0, 3, 0, 5], [0, 0, 3, 1, 0, 3, 1, 0, 3, 4], [0, 0, 3, 1, 0, 3, 1, 1, 1, 5], [0, 0, 3, 1, 0, 3, 2, 0, 0, 6], [0, 0, 3, 1, 0, 4, 0, 0, 2, 5], [0, 0, 3, 1, 0, 4, 0, 1, 0, 6], [0, 0, 3, 1, 1, 0, 0, 3, 7, 0], [0, 0, 3, 1, 1, 0, 0, 4, 5, 1], [0, 0, 3, 1, 1, 0, 0, 5, 3, 2], [0, 0, 3, 1, 1, 0, 0, 6, 1, 3], [0, 0, 3, 1, 1, 0, 1, 1, 8, 0], [0, 0, 3, 1, 1, 0, 1, 2, 6, 1], [0, 0, 3, 1, 1, 0, 1, 3, 4, 2], [0, 0, 3, 1, 1, 0, 1, 4, 2, 3], [0, 0, 3, 1, 1, 0, 1, 5, 0, 4], [0, 0, 3, 1, 1, 0, 2, 0, 7, 1], [0, 0, 3, 1, 1, 0, 2, 1, 5, 2], [0, 0, 3, 1, 1, 0, 2, 2, 3, 3], [0, 0, 3, 1, 1, 0, 2, 3, 1, 4], [0, 0, 3, 1, 1, 0, 3, 0, 4, 3], [0, 0, 3, 1, 1, 0, 3, 1, 2, 4], [0, 0, 3, 1, 1, 0, 3, 2, 0, 5], [0, 0, 3, 1, 1, 0, 4, 0, 1, 5], [0, 0, 3, 1, 1, 1, 0, 0, 9, 0], [0, 0, 3, 1, 1, 1, 0, 1, 7, 1], [0, 0, 3, 1, 1, 1, 0, 2, 5, 2], [0, 0, 3, 1, 1, 1, 0, 3, 3, 3], [0, 0, 3, 1, 1, 1, 0, 4, 1, 4], [0, 0, 3, 1, 1, 1, 1, 0, 6, 2], [0, 0, 3, 1, 1, 1, 1, 1, 4, 3], [0, 0, 3, 1, 1, 1, 1, 2, 2, 4], [0, 0, 3, 1, 1, 1, 1, 3, 0, 5], [0, 0, 3, 1, 1, 1, 2, 0, 3, 4], [0, 0, 3, 1, 1, 1, 2, 1, 1, 5], [0, 0, 3, 1, 1, 1, 3, 0, 0, 6], [0, 0, 3, 1, 1, 2, 0, 0, 5, 3], [0, 0, 3, 1, 1, 2, 0, 1, 3, 4], [0, 0, 3, 1, 1, 2, 0, 2, 1, 5], [0, 0, 3, 1, 1, 2, 1, 0, 2, 5], [0, 0, 3, 1, 1, 2, 1, 1, 0, 6], [0, 0, 3, 1, 1, 3, 0, 0, 1, 6], [0, 0, 3, 1, 2, 0, 0, 0, 8, 1], [0, 0, 3, 1, 2, 0, 0, 1, 6, 2], [0, 0, 3, 1, 2, 0, 0, 2, 4, 3], [0, 0, 3, 1, 2, 0, 0, 3, 2, 4], [0, 0, 3, 1, 2, 0, 0, 4, 0, 5], [0, 0, 3, 1, 2, 0, 1, 0, 5, 3], [0, 0, 3, 1, 2, 0, 1, 1, 3, 4], [0, 0, 3, 1, 2, 0, 1, 2, 1, 5], [0, 0, 3, 1, 2, 0, 2, 0, 2, 5], [0, 0, 3, 1, 2, 0, 2, 1, 0, 6], [0, 0, 3, 1, 2, 1, 0, 0, 4, 4], [0, 0, 3, 1, 2, 1, 0, 1, 2, 5], [0, 0, 3, 1, 2, 1, 0, 2, 0, 6], [0, 0, 3, 1, 2, 1, 1, 0, 1, 6], [0, 0, 3, 1, 2, 2, 0, 0, 0, 7], [0, 0, 3, 1, 3, 0, 0, 0, 3, 5], [0, 0, 3, 1, 3, 0, 0, 1, 1, 6], [0, 0, 3, 1, 3, 0, 1, 0, 0, 7], [0, 0, 3, 2, 0, 0, 0, 2, 8, 0], [0, 0, 3, 2, 0, 0, 0, 3, 6, 1], [0, 0, 3, 2, 0, 0, 0, 4, 4, 2], [0, 0, 3, 2, 0, 0, 0, 5, 2, 3], [0, 0, 3, 2, 0, 0, 0, 6, 0, 4], [0, 0, 3, 2, 0, 0, 1, 0, 9, 0], [0, 0, 3, 2, 0, 0, 1, 1, 7, 1], [0, 0, 3, 2, 0, 0, 1, 2, 5, 2], [0, 0, 3, 2, 0, 0, 1, 3, 3, 3], [0, 0, 3, 2, 0, 0, 1, 4, 1, 4], [0, 0, 3, 2, 0, 0, 2, 0, 6, 2], [0, 0, 3, 2, 0, 0, 2, 1, 4, 3], [0, 0, 3, 2, 0, 0, 2, 2, 2, 4], [0, 0, 3, 2, 0, 0, 2, 3, 0, 5], [0, 0, 3, 2, 0, 0, 3, 0, 3, 4], [0, 0, 3, 2, 0, 0, 3, 1, 1, 5], [0, 0, 3, 2, 0, 0, 4, 0, 0, 6], [0, 0, 3, 2, 0, 1, 0, 0, 8, 1], [0, 0, 3, 2, 0, 1, 0, 1, 6, 2], [0, 0, 3, 2, 0, 1, 0, 2, 4, 3], [0, 0, 3, 2, 0, 1, 0, 3, 2, 4], [0, 0, 3, 2, 0, 1, 0, 4, 0, 5], [0, 0, 3, 2, 0, 1, 1, 0, 5, 3], [0, 0, 3, 2, 0, 1, 1, 1, 3, 4], [0, 0, 3, 2, 0, 1, 1, 2, 1, 5], [0, 0, 3, 2, 0, 1, 2, 0, 2, 5], [0, 0, 3, 2, 0, 1, 2, 1, 0, 6], [0, 0, 3, 2, 0, 2, 0, 0, 4, 4], [0, 0, 3, 2, 0, 2, 0, 1, 2, 5], [0, 0, 3, 2, 0, 2, 0, 2, 0, 6], [0, 0, 3, 2, 0, 2, 1, 0, 1, 6], [0, 0, 3, 2, 0, 3, 0, 0, 0, 7], [0, 0, 3, 2, 1, 0, 0, 0, 7, 2], [0, 0, 3, 2, 1, 0, 0, 1, 5, 3], [0, 0, 3, 2, 1, 0, 0, 2, 3, 4], [0, 0, 3, 2, 1, 0, 0, 3, 1, 5], [0, 0, 3, 2, 1, 0, 1, 0, 4, 4], [0, 0, 3, 2, 1, 0, 1, 1, 2, 5], [0, 0, 3, 2, 1, 0, 1, 2, 0, 6], [0, 0, 3, 2, 1, 0, 2, 0, 1, 6], [0, 0, 3, 2, 1, 1, 0, 0, 3, 5], [0, 0, 3, 2, 1, 1, 0, 1, 1, 6], [0, 0, 3, 2, 1, 1, 1, 0, 0, 7], [0, 0, 3, 2, 2, 0, 0, 0, 2, 6], [0, 0, 3, 2, 2, 0, 0, 1, 0, 7], [0, 0, 3, 3, 0, 0, 0, 0, 6, 3], [0, 0, 3, 3, 0, 0, 0, 1, 4, 4], [0, 0, 3, 3, 0, 0, 0, 2, 2, 5], [0, 0, 3, 3, 0, 0, 0, 3, 0, 6], [0, 0, 3, 3, 0, 0, 1, 0, 3, 5], [0, 0, 3, 3, 0, 0, 1, 1, 1, 6], [0, 0, 3, 3, 0, 0, 2, 0, 0, 7], [0, 0, 3, 3, 0, 1, 0, 0, 2, 6], [0, 0, 3, 3, 0, 1, 0, 1, 0, 7], [0, 0, 3, 3, 1, 0, 0, 0, 1, 7], [0, 0, 3, 4, 0, 0, 0, 0, 0, 8], [0, 0, 4, 0, 0, 0, 0, 6, 5, 0], [0, 0, 4, 0, 0, 0, 0, 7, 3, 1], [0, 0, 4, 0, 0, 0, 0, 8, 1, 2], [0, 0, 4, 0, 0, 0, 1, 4, 6, 0], [0, 0, 4, 0, 0, 0, 1, 5, 4, 1], [0, 0, 4, 0, 0, 0, 1, 6, 2, 2], [0, 0, 4, 0, 0, 0, 1, 7, 0, 3], [0, 0, 4, 0, 0, 0, 2, 2, 7, 0], [0, 0, 4, 0, 0, 0, 2, 3, 5, 1], [0, 0, 4, 0, 0, 0, 2, 4, 3, 2], [0, 0, 4, 0, 0, 0, 2, 5, 1, 3], [0, 0, 4, 0, 0, 0, 3, 0, 8, 0], [0, 0, 4, 0, 0, 0, 3, 1, 6, 1], [0, 0, 4, 0, 0, 0, 3, 2, 4, 2], [0, 0, 4, 0, 0, 0, 3, 3, 2, 3], [0, 0, 4, 0, 0, 0, 3, 4, 0, 4], [0, 0, 4, 0, 0, 0, 4, 0, 5, 2], [0, 0, 4, 0, 0, 0, 4, 1, 3, 3], [0, 0, 4, 0, 0, 0, 4, 2, 1, 4], [0, 0, 4, 0, 0, 0, 5, 0, 2, 4], [0, 0, 4, 0, 0, 0, 5, 1, 0, 5], [0, 0, 4, 0, 0, 1, 0, 3, 7, 0], [0, 0, 4, 0, 0, 1, 0, 4, 5, 1], [0, 0, 4, 0, 0, 1, 0, 5, 3, 2], [0, 0, 4, 0, 0, 1, 0, 6, 1, 3], [0, 0, 4, 0, 0, 1, 1, 1, 8, 0], [0, 0, 4, 0, 0, 1, 1, 2, 6, 1], [0, 0, 4, 0, 0, 1, 1, 3, 4, 2], [0, 0, 4, 0, 0, 1, 1, 4, 2, 3], [0, 0, 4, 0, 0, 1, 1, 5, 0, 4], [0, 0, 4, 0, 0, 1, 2, 0, 7, 1], [0, 0, 4, 0, 0, 1, 2, 1, 5, 2], [0, 0, 4, 0, 0, 1, 2, 2, 3, 3], [0, 0, 4, 0, 0, 1, 2, 3, 1, 4], [0, 0, 4, 0, 0, 1, 3, 0, 4, 3], [0, 0, 4, 0, 0, 1, 3, 1, 2, 4], [0, 0, 4, 0, 0, 1, 3, 2, 0, 5], [0, 0, 4, 0, 0, 1, 4, 0, 1, 5], [0, 0, 4, 0, 0, 2, 0, 0, 9, 0], [0, 0, 4, 0, 0, 2, 0, 1, 7, 1], [0, 0, 4, 0, 0, 2, 0, 2, 5, 2], [0, 0, 4, 0, 0, 2, 0, 3, 3, 3], [0, 0, 4, 0, 0, 2, 0, 4, 1, 4], [0, 0, 4, 0, 0, 2, 1, 0, 6, 2], [0, 0, 4, 0, 0, 2, 1, 1, 4, 3], [0, 0, 4, 0, 0, 2, 1, 2, 2, 4], [0, 0, 4, 0, 0, 2, 1, 3, 0, 5], [0, 0, 4, 0, 0, 2, 2, 0, 3, 4], [0, 0, 4, 0, 0, 2, 2, 1, 1, 5], [0, 0, 4, 0, 0, 2, 3, 0, 0, 6], [0, 0, 4, 0, 0, 3, 0, 0, 5, 3], [0, 0, 4, 0, 0, 3, 0, 1, 3, 4], [0, 0, 4, 0, 0, 3, 0, 2, 1, 5], [0, 0, 4, 0, 0, 3, 1, 0, 2, 5], [0, 0, 4, 0, 0, 3, 1, 1, 0, 6], [0, 0, 4, 0, 0, 4, 0, 0, 1, 6], [0, 0, 4, 0, 1, 0, 0, 2, 8, 0], [0, 0, 4, 0, 1, 0, 0, 3, 6, 1], [0, 0, 4, 0, 1, 0, 0, 4, 4, 2], [0, 0, 4, 0, 1, 0, 0, 5, 2, 3], [0, 0, 4, 0, 1, 0, 0, 6, 0, 4], [0, 0, 4, 0, 1, 0, 1, 0, 9, 0], [0, 0, 4, 0, 1, 0, 1, 1, 7, 1], [0, 0, 4, 0, 1, 0, 1, 2, 5, 2], [0, 0, 4, 0, 1, 0, 1, 3, 3, 3], [0, 0, 4, 0, 1, 0, 1, 4, 1, 4], [0, 0, 4, 0, 1, 0, 2, 0, 6, 2], [0, 0, 4, 0, 1, 0, 2, 1, 4, 3], [0, 0, 4, 0, 1, 0, 2, 2, 2, 4], [0, 0, 4, 0, 1, 0, 2, 3, 0, 5], [0, 0, 4, 0, 1, 0, 3, 0, 3, 4], [0, 0, 4, 0, 1, 0, 3, 1, 1, 5], [0, 0, 4, 0, 1, 0, 4, 0, 0, 6], [0, 0, 4, 0, 1, 1, 0, 0, 8, 1], [0, 0, 4, 0, 1, 1, 0, 1, 6, 2], [0, 0, 4, 0, 1, 1, 0, 2, 4, 3], [0, 0, 4, 0, 1, 1, 0, 3, 2, 4], [0, 0, 4, 0, 1, 1, 0, 4, 0, 5], [0, 0, 4, 0, 1, 1, 1, 0, 5, 3], [0, 0, 4, 0, 1, 1, 1, 1, 3, 4], [0, 0, 4, 0, 1, 1, 1, 2, 1, 5], [0, 0, 4, 0, 1, 1, 2, 0, 2, 5], [0, 0, 4, 0, 1, 1, 2, 1, 0, 6], [0, 0, 4, 0, 1, 2, 0, 0, 4, 4], [0, 0, 4, 0, 1, 2, 0, 1, 2, 5], [0, 0, 4, 0, 1, 2, 0, 2, 0, 6], [0, 0, 4, 0, 1, 2, 1, 0, 1, 6], [0, 0, 4, 0, 1, 3, 0, 0, 0, 7], [0, 0, 4, 0, 2, 0, 0, 0, 7, 2], [0, 0, 4, 0, 2, 0, 0, 1, 5, 3], [0, 0, 4, 0, 2, 0, 0, 2, 3, 4], [0, 0, 4, 0, 2, 0, 0, 3, 1, 5], [0, 0, 4, 0, 2, 0, 1, 0, 4, 4], [0, 0, 4, 0, 2, 0, 1, 1, 2, 5], [0, 0, 4, 0, 2, 0, 1, 2, 0, 6], [0, 0, 4, 0, 2, 0, 2, 0, 1, 6], [0, 0, 4, 0, 2, 1, 0, 0, 3, 5], [0, 0, 4, 0, 2, 1, 0, 1, 1, 6], [0, 0, 4, 0, 2, 1, 1, 0, 0, 7], [0, 0, 4, 0, 3, 0, 0, 0, 2, 6], [0, 0, 4, 0, 3, 0, 0, 1, 0, 7], [0, 0, 4, 1, 0, 0, 0, 1, 9, 0], [0, 0, 4, 1, 0, 0, 0, 2, 7, 1], [0, 0, 4, 1, 0, 0, 0, 3, 5, 2], [0, 0, 4, 1, 0, 0, 0, 4, 3, 3], [0, 0, 4, 1, 0, 0, 0, 5, 1, 4], [0, 0, 4, 1, 0, 0, 1, 0, 8, 1], [0, 0, 4, 1, 0, 0, 1, 1, 6, 2], [0, 0, 4, 1, 0, 0, 1, 2, 4, 3], [0, 0, 4, 1, 0, 0, 1, 3, 2, 4], [0, 0, 4, 1, 0, 0, 1, 4, 0, 5], [0, 0, 4, 1, 0, 0, 2, 0, 5, 3], [0, 0, 4, 1, 0, 0, 2, 1, 3, 4], [0, 0, 4, 1, 0, 0, 2, 2, 1, 5], [0, 0, 4, 1, 0, 0, 3, 0, 2, 5], [0, 0, 4, 1, 0, 0, 3, 1, 0, 6], [0, 0, 4, 1, 0, 1, 0, 0, 7, 2], [0, 0, 4, 1, 0, 1, 0, 1, 5, 3], [0, 0, 4, 1, 0, 1, 0, 2, 3, 4], [0, 0, 4, 1, 0, 1, 0, 3, 1, 5], [0, 0, 4, 1, 0, 1, 1, 0, 4, 4], [0, 0, 4, 1, 0, 1, 1, 1, 2, 5], [0, 0, 4, 1, 0, 1, 1, 2, 0, 6], [0, 0, 4, 1, 0, 1, 2, 0, 1, 6], [0, 0, 4, 1, 0, 2, 0, 0, 3, 5], [0, 0, 4, 1, 0, 2, 0, 1, 1, 6], [0, 0, 4, 1, 0, 2, 1, 0, 0, 7], [0, 0, 4, 1, 1, 0, 0, 0, 6, 3], [0, 0, 4, 1, 1, 0, 0, 1, 4, 4], [0, 0, 4, 1, 1, 0, 0, 2, 2, 5], [0, 0, 4, 1, 1, 0, 0, 3, 0, 6], [0, 0, 4, 1, 1, 0, 1, 0, 3, 5], [0, 0, 4, 1, 1, 0, 1, 1, 1, 6], [0, 0, 4, 1, 1, 0, 2, 0, 0, 7], [0, 0, 4, 1, 1, 1, 0, 0, 2, 6], [0, 0, 4, 1, 1, 1, 0, 1, 0, 7], [0, 0, 4, 1, 2, 0, 0, 0, 1, 7], [0, 0, 4, 2, 0, 0, 0, 0, 5, 4], [0, 0, 4, 2, 0, 0, 0, 1, 3, 5], [0, 0, 4, 2, 0, 0, 0, 2, 1, 6], [0, 0, 4, 2, 0, 0, 1, 0, 2, 6], [0, 0, 4, 2, 0, 0, 1, 1, 0, 7], [0, 0, 4, 2, 0, 1, 0, 0, 1, 7], [0, 0, 4, 2, 1, 0, 0, 0, 0, 8], [0, 0, 5, 0, 0, 0, 0, 0, 10, 0], [0, 0, 5, 0, 0, 0, 0, 1, 8, 1], [0, 0, 5, 0, 0, 0, 0, 2, 6, 2], [0, 0, 5, 0, 0, 0, 0, 3, 4, 3], [0, 0, 5, 0, 0, 0, 0, 4, 2, 4], [0, 0, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 0, 0, 1, 0, 7, 2], [0, 0, 5, 0, 0, 0, 1, 1, 5, 3], [0, 0, 5, 0, 0, 0, 1, 2, 3, 4], [0, 0, 5, 0, 0, 0, 1, 3, 1, 5], [0, 0, 5, 0, 0, 0, 2, 0, 4, 4], [0, 0, 5, 0, 0, 0, 2, 1, 2, 5], [0, 0, 5, 0, 0, 0, 2, 2, 0, 6], [0, 0, 5, 0, 0, 0, 3, 0, 1, 6], [0, 0, 5, 0, 0, 1, 0, 0, 6, 3], [0, 0, 5, 0, 0, 1, 0, 1, 4, 4], [0, 0, 5, 0, 0, 1, 0, 2, 2, 5], [0, 0, 5, 0, 0, 1, 0, 3, 0, 6], [0, 0, 5, 0, 0, 1, 1, 0, 3, 5], [0, 0, 5, 0, 0, 1, 1, 1, 1, 6], [0, 0, 5, 0, 0, 1, 2, 0, 0, 7], [0, 0, 5, 0, 0, 2, 0, 0, 2, 6], [0, 0, 5, 0, 0, 2, 0, 1, 0, 7], [0, 0, 5, 0, 1, 0, 0, 0, 5, 4], [0, 0, 5, 0, 1, 0, 0, 1, 3, 5], [0, 0, 5, 0, 1, 0, 0, 2, 1, 6], [0, 0, 5, 0, 1, 0, 1, 0, 2, 6], [0, 0, 5, 0, 1, 0, 1, 1, 0, 7], [0, 0, 5, 0, 1, 1, 0, 0, 1, 7], [0, 0, 5, 0, 2, 0, 0, 0, 0, 8], [0, 0, 5, 1, 0, 0, 0, 0, 4, 5], [0, 0, 5, 1, 0, 0, 0, 1, 2, 6], [0, 0, 5, 1, 0, 0, 0, 2, 0, 7], [0, 0, 5, 1, 0, 0, 1, 0, 1, 7], [0, 0, 5, 1, 0, 1, 0, 0, 0, 8], [0, 0, 6, 0, 0, 0, 0, 0, 3, 6], [0, 0, 6, 0, 0, 0, 0, 1, 1, 7], [0, 0, 6, 0, 0, 0, 1, 0, 0, 8], [0, 1, 0, 0, 0, 0, 9, 5, 0, 0], [0, 1, 0, 0, 0, 0, 10, 3, 1, 0], [0, 1, 0, 0, 0, 0, 11, 1, 2, 0], [0, 1, 0, 0, 0, 0, 11, 2, 0, 1], [0, 1, 0, 0, 0, 0, 12, 0, 1, 1], [0, 1, 0, 0, 0, 1, 7, 6, 0, 0], [0, 1, 0, 0, 0, 1, 8, 4, 1, 0], [0, 1, 0, 0, 0, 1, 9, 2, 2, 0], [0, 1, 0, 0, 0, 1, 9, 3, 0, 1], [0, 1, 0, 0, 0, 1, 10, 0, 3, 0], [0, 1, 0, 0, 0, 1, 10, 1, 1, 1], [0, 1, 0, 0, 0, 1, 11, 0, 0, 2], [0, 1, 0, 0, 0, 2, 5, 7, 0, 0], [0, 1, 0, 0, 0, 2, 6, 5, 1, 0], [0, 1, 0, 0, 0, 2, 7, 3, 2, 0], [0, 1, 0, 0, 0, 2, 7, 4, 0, 1], [0, 1, 0, 0, 0, 2, 8, 1, 3, 0], [0, 1, 0, 0, 0, 2, 8, 2, 1, 1], [0, 1, 0, 0, 0, 2, 9, 0, 2, 1], [0, 1, 0, 0, 0, 2, 9, 1, 0, 2], [0, 1, 0, 0, 0, 3, 3, 8, 0, 0], [0, 1, 0, 0, 0, 3, 4, 6, 1, 0], [0, 1, 0, 0, 0, 3, 5, 4, 2, 0], [0, 1, 0, 0, 0, 3, 5, 5, 0, 1], [0, 1, 0, 0, 0, 3, 6, 2, 3, 0], [0, 1, 0, 0, 0, 3, 6, 3, 1, 1], [0, 1, 0, 0, 0, 3, 7, 0, 4, 0], [0, 1, 0, 0, 0, 3, 7, 1, 2, 1], [0, 1, 0, 0, 0, 3, 7, 2, 0, 2], [0, 1, 0, 0, 0, 3, 8, 0, 1, 2], [0, 1, 0, 0, 0, 4, 1, 9, 0, 0], [0, 1, 0, 0, 0, 4, 2, 7, 1, 0], [0, 1, 0, 0, 0, 4, 3, 5, 2, 0], [0, 1, 0, 0, 0, 4, 3, 6, 0, 1], [0, 1, 0, 0, 0, 4, 4, 3, 3, 0], [0, 1, 0, 0, 0, 4, 4, 4, 1, 1], [0, 1, 0, 0, 0, 4, 5, 1, 4, 0], [0, 1, 0, 0, 0, 4, 5, 2, 2, 1], [0, 1, 0, 0, 0, 4, 5, 3, 0, 2], [0, 1, 0, 0, 0, 4, 6, 0, 3, 1], [0, 1, 0, 0, 0, 4, 6, 1, 1, 2], [0, 1, 0, 0, 0, 4, 7, 0, 0, 3], [0, 1, 0, 0, 0, 5, 0, 8, 1, 0], [0, 1, 0, 0, 0, 5, 1, 6, 2, 0], [0, 1, 0, 0, 0, 5, 1, 7, 0, 1], [0, 1, 0, 0, 0, 5, 2, 4, 3, 0], [0, 1, 0, 0, 0, 5, 2, 5, 1, 1], [0, 1, 0, 0, 0, 5, 3, 2, 4, 0], [0, 1, 0, 0, 0, 5, 3, 3, 2, 1], [0, 1, 0, 0, 0, 5, 3, 4, 0, 2], [0, 1, 0, 0, 0, 5, 4, 0, 5, 0], [0, 1, 0, 0, 0, 5, 4, 1, 3, 1], [0, 1, 0, 0, 0, 5, 4, 2, 1, 2], [0, 1, 0, 0, 0, 5, 5, 0, 2, 2], [0, 1, 0, 0, 0, 5, 5, 1, 0, 3], [0, 1, 0, 0, 0, 6, 0, 5, 3, 0], [0, 1, 0, 0, 0, 6, 0, 6, 1, 1], [0, 1, 0, 0, 0, 6, 1, 3, 4, 0], [0, 1, 0, 0, 0, 6, 1, 4, 2, 1], [0, 1, 0, 0, 0, 6, 1, 5, 0, 2], [0, 1, 0, 0, 0, 6, 2, 1, 5, 0], [0, 1, 0, 0, 0, 6, 2, 2, 3, 1], [0, 1, 0, 0, 0, 6, 2, 3, 1, 2], [0, 1, 0, 0, 0, 6, 3, 0, 4, 1], [0, 1, 0, 0, 0, 6, 3, 1, 2, 2], [0, 1, 0, 0, 0, 6, 3, 2, 0, 3], [0, 1, 0, 0, 0, 6, 4, 0, 1, 3], [0, 1, 0, 0, 0, 7, 0, 2, 5, 0], [0, 1, 0, 0, 0, 7, 0, 3, 3, 1], [0, 1, 0, 0, 0, 7, 0, 4, 1, 2], [0, 1, 0, 0, 0, 7, 1, 0, 6, 0], [0, 1, 0, 0, 0, 7, 1, 1, 4, 1], [0, 1, 0, 0, 0, 7, 1, 2, 2, 2], [0, 1, 0, 0, 0, 7, 1, 3, 0, 3], [0, 1, 0, 0, 0, 7, 2, 0, 3, 2], [0, 1, 0, 0, 0, 7, 2, 1, 1, 3], [0, 1, 0, 0, 0, 7, 3, 0, 0, 4], [0, 1, 0, 0, 0, 8, 0, 0, 5, 1], [0, 1, 0, 0, 0, 8, 0, 1, 3, 2], [0, 1, 0, 0, 0, 8, 0, 2, 1, 3], [0, 1, 0, 0, 0, 8, 1, 0, 2, 3], [0, 1, 0, 0, 0, 8, 1, 1, 0, 4], [0, 1, 0, 0, 0, 9, 0, 0, 1, 4], [0, 1, 0, 0, 1, 0, 6, 7, 0, 0], [0, 1, 0, 0, 1, 0, 7, 5, 1, 0], [0, 1, 0, 0, 1, 0, 8, 3, 2, 0], [0, 1, 0, 0, 1, 0, 8, 4, 0, 1], [0, 1, 0, 0, 1, 0, 9, 1, 3, 0], [0, 1, 0, 0, 1, 0, 9, 2, 1, 1], [0, 1, 0, 0, 1, 0, 10, 0, 2, 1], [0, 1, 0, 0, 1, 0, 10, 1, 0, 2], [0, 1, 0, 0, 1, 1, 4, 8, 0, 0], [0, 1, 0, 0, 1, 1, 5, 6, 1, 0], [0, 1, 0, 0, 1, 1, 6, 4, 2, 0], [0, 1, 0, 0, 1, 1, 6, 5, 0, 1], [0, 1, 0, 0, 1, 1, 7, 2, 3, 0], [0, 1, 0, 0, 1, 1, 7, 3, 1, 1], [0, 1, 0, 0, 1, 1, 8, 0, 4, 0], [0, 1, 0, 0, 1, 1, 8, 1, 2, 1], [0, 1, 0, 0, 1, 1, 8, 2, 0, 2], [0, 1, 0, 0, 1, 1, 9, 0, 1, 2], [0, 1, 0, 0, 1, 2, 2, 9, 0, 0], [0, 1, 0, 0, 1, 2, 3, 7, 1, 0], [0, 1, 0, 0, 1, 2, 4, 5, 2, 0], [0, 1, 0, 0, 1, 2, 4, 6, 0, 1], [0, 1, 0, 0, 1, 2, 5, 3, 3, 0], [0, 1, 0, 0, 1, 2, 5, 4, 1, 1], [0, 1, 0, 0, 1, 2, 6, 1, 4, 0], [0, 1, 0, 0, 1, 2, 6, 2, 2, 1], [0, 1, 0, 0, 1, 2, 6, 3, 0, 2], [0, 1, 0, 0, 1, 2, 7, 0, 3, 1], [0, 1, 0, 0, 1, 2, 7, 1, 1, 2], [0, 1, 0, 0, 1, 2, 8, 0, 0, 3], [0, 1, 0, 0, 1, 3, 0, 10, 0, 0], [0, 1, 0, 0, 1, 3, 1, 8, 1, 0], [0, 1, 0, 0, 1, 3, 2, 6, 2, 0], [0, 1, 0, 0, 1, 3, 2, 7, 0, 1], [0, 1, 0, 0, 1, 3, 3, 4, 3, 0], [0, 1, 0, 0, 1, 3, 3, 5, 1, 1], [0, 1, 0, 0, 1, 3, 4, 2, 4, 0], [0, 1, 0, 0, 1, 3, 4, 3, 2, 1], [0, 1, 0, 0, 1, 3, 4, 4, 0, 2], [0, 1, 0, 0, 1, 3, 5, 0, 5, 0], [0, 1, 0, 0, 1, 3, 5, 1, 3, 1], [0, 1, 0, 0, 1, 3, 5, 2, 1, 2], [0, 1, 0, 0, 1, 3, 6, 0, 2, 2], [0, 1, 0, 0, 1, 3, 6, 1, 0, 3], [0, 1, 0, 0, 1, 4, 0, 7, 2, 0], [0, 1, 0, 0, 1, 4, 0, 8, 0, 1], [0, 1, 0, 0, 1, 4, 1, 5, 3, 0], [0, 1, 0, 0, 1, 4, 1, 6, 1, 1], [0, 1, 0, 0, 1, 4, 2, 3, 4, 0], [0, 1, 0, 0, 1, 4, 2, 4, 2, 1], [0, 1, 0, 0, 1, 4, 2, 5, 0, 2], [0, 1, 0, 0, 1, 4, 3, 1, 5, 0], [0, 1, 0, 0, 1, 4, 3, 2, 3, 1], [0, 1, 0, 0, 1, 4, 3, 3, 1, 2], [0, 1, 0, 0, 1, 4, 4, 0, 4, 1], [0, 1, 0, 0, 1, 4, 4, 1, 2, 2], [0, 1, 0, 0, 1, 4, 4, 2, 0, 3], [0, 1, 0, 0, 1, 4, 5, 0, 1, 3], [0, 1, 0, 0, 1, 5, 0, 4, 4, 0], [0, 1, 0, 0, 1, 5, 0, 5, 2, 1], [0, 1, 0, 0, 1, 5, 0, 6, 0, 2], [0, 1, 0, 0, 1, 5, 1, 2, 5, 0], [0, 1, 0, 0, 1, 5, 1, 3, 3, 1], [0, 1, 0, 0, 1, 5, 1, 4, 1, 2], [0, 1, 0, 0, 1, 5, 2, 0, 6, 0], [0, 1, 0, 0, 1, 5, 2, 1, 4, 1], [0, 1, 0, 0, 1, 5, 2, 2, 2, 2], [0, 1, 0, 0, 1, 5, 2, 3, 0, 3], [0, 1, 0, 0, 1, 5, 3, 0, 3, 2], [0, 1, 0, 0, 1, 5, 3, 1, 1, 3], [0, 1, 0, 0, 1, 5, 4, 0, 0, 4], [0, 1, 0, 0, 1, 6, 0, 1, 6, 0], [0, 1, 0, 0, 1, 6, 0, 2, 4, 1], [0, 1, 0, 0, 1, 6, 0, 3, 2, 2], [0, 1, 0, 0, 1, 6, 0, 4, 0, 3], [0, 1, 0, 0, 1, 6, 1, 0, 5, 1], [0, 1, 0, 0, 1, 6, 1, 1, 3, 2], [0, 1, 0, 0, 1, 6, 1, 2, 1, 3], [0, 1, 0, 0, 1, 6, 2, 0, 2, 3], [0, 1, 0, 0, 1, 6, 2, 1, 0, 4], [0, 1, 0, 0, 1, 7, 0, 0, 4, 2], [0, 1, 0, 0, 1, 7, 0, 1, 2, 3], [0, 1, 0, 0, 1, 7, 0, 2, 0, 4], [0, 1, 0, 0, 1, 7, 1, 0, 1, 4], [0, 1, 0, 0, 1, 8, 0, 0, 0, 5], [0, 1, 0, 0, 2, 0, 3, 9, 0, 0], [0, 1, 0, 0, 2, 0, 4, 7, 1, 0], [0, 1, 0, 0, 2, 0, 5, 5, 2, 0], [0, 1, 0, 0, 2, 0, 5, 6, 0, 1], [0, 1, 0, 0, 2, 0, 6, 3, 3, 0], [0, 1, 0, 0, 2, 0, 6, 4, 1, 1], [0, 1, 0, 0, 2, 0, 7, 1, 4, 0], [0, 1, 0, 0, 2, 0, 7, 2, 2, 1], [0, 1, 0, 0, 2, 0, 7, 3, 0, 2], [0, 1, 0, 0, 2, 0, 8, 0, 3, 1], [0, 1, 0, 0, 2, 0, 8, 1, 1, 2], [0, 1, 0, 0, 2, 0, 9, 0, 0, 3], [0, 1, 0, 0, 2, 1, 1, 10, 0, 0], [0, 1, 0, 0, 2, 1, 2, 8, 1, 0], [0, 1, 0, 0, 2, 1, 3, 6, 2, 0], [0, 1, 0, 0, 2, 1, 3, 7, 0, 1], [0, 1, 0, 0, 2, 1, 4, 4, 3, 0], [0, 1, 0, 0, 2, 1, 4, 5, 1, 1], [0, 1, 0, 0, 2, 1, 5, 2, 4, 0], [0, 1, 0, 0, 2, 1, 5, 3, 2, 1], [0, 1, 0, 0, 2, 1, 5, 4, 0, 2], [0, 1, 0, 0, 2, 1, 6, 0, 5, 0], [0, 1, 0, 0, 2, 1, 6, 1, 3, 1], [0, 1, 0, 0, 2, 1, 6, 2, 1, 2], [0, 1, 0, 0, 2, 1, 7, 0, 2, 2], [0, 1, 0, 0, 2, 1, 7, 1, 0, 3], [0, 1, 0, 0, 2, 2, 0, 9, 1, 0], [0, 1, 0, 0, 2, 2, 1, 7, 2, 0], [0, 1, 0, 0, 2, 2, 1, 8, 0, 1], [0, 1, 0, 0, 2, 2, 2, 5, 3, 0], [0, 1, 0, 0, 2, 2, 2, 6, 1, 1], [0, 1, 0, 0, 2, 2, 3, 3, 4, 0], [0, 1, 0, 0, 2, 2, 3, 4, 2, 1], [0, 1, 0, 0, 2, 2, 3, 5, 0, 2], [0, 1, 0, 0, 2, 2, 4, 1, 5, 0], [0, 1, 0, 0, 2, 2, 4, 2, 3, 1], [0, 1, 0, 0, 2, 2, 4, 3, 1, 2], [0, 1, 0, 0, 2, 2, 5, 0, 4, 1], [0, 1, 0, 0, 2, 2, 5, 1, 2, 2], [0, 1, 0, 0, 2, 2, 5, 2, 0, 3], [0, 1, 0, 0, 2, 2, 6, 0, 1, 3], [0, 1, 0, 0, 2, 3, 0, 6, 3, 0], [0, 1, 0, 0, 2, 3, 0, 7, 1, 1], [0, 1, 0, 0, 2, 3, 1, 4, 4, 0], [0, 1, 0, 0, 2, 3, 1, 5, 2, 1], [0, 1, 0, 0, 2, 3, 1, 6, 0, 2], [0, 1, 0, 0, 2, 3, 2, 2, 5, 0], [0, 1, 0, 0, 2, 3, 2, 3, 3, 1], [0, 1, 0, 0, 2, 3, 2, 4, 1, 2], [0, 1, 0, 0, 2, 3, 3, 0, 6, 0], [0, 1, 0, 0, 2, 3, 3, 1, 4, 1], [0, 1, 0, 0, 2, 3, 3, 2, 2, 2], [0, 1, 0, 0, 2, 3, 3, 3, 0, 3], [0, 1, 0, 0, 2, 3, 4, 0, 3, 2], [0, 1, 0, 0, 2, 3, 4, 1, 1, 3], [0, 1, 0, 0, 2, 3, 5, 0, 0, 4], [0, 1, 0, 0, 2, 4, 0, 3, 5, 0], [0, 1, 0, 0, 2, 4, 0, 4, 3, 1], [0, 1, 0, 0, 2, 4, 0, 5, 1, 2], [0, 1, 0, 0, 2, 4, 1, 1, 6, 0], [0, 1, 0, 0, 2, 4, 1, 2, 4, 1], [0, 1, 0, 0, 2, 4, 1, 3, 2, 2], [0, 1, 0, 0, 2, 4, 1, 4, 0, 3], [0, 1, 0, 0, 2, 4, 2, 0, 5, 1], [0, 1, 0, 0, 2, 4, 2, 1, 3, 2], [0, 1, 0, 0, 2, 4, 2, 2, 1, 3], [0, 1, 0, 0, 2, 4, 3, 0, 2, 3], [0, 1, 0, 0, 2, 4, 3, 1, 0, 4], [0, 1, 0, 0, 2, 5, 0, 0, 7, 0], [0, 1, 0, 0, 2, 5, 0, 1, 5, 1], [0, 1, 0, 0, 2, 5, 0, 2, 3, 2], [0, 1, 0, 0, 2, 5, 0, 3, 1, 3], [0, 1, 0, 0, 2, 5, 1, 0, 4, 2], [0, 1, 0, 0, 2, 5, 1, 1, 2, 3], [0, 1, 0, 0, 2, 5, 1, 2, 0, 4], [0, 1, 0, 0, 2, 5, 2, 0, 1, 4], [0, 1, 0, 0, 2, 6, 0, 0, 3, 3], [0, 1, 0, 0, 2, 6, 0, 1, 1, 4], [0, 1, 0, 0, 2, 6, 1, 0, 0, 5], [0, 1, 0, 0, 3, 0, 0, 11, 0, 0], [0, 1, 0, 0, 3, 0, 1, 9, 1, 0], [0, 1, 0, 0, 3, 0, 2, 7, 2, 0], [0, 1, 0, 0, 3, 0, 2, 8, 0, 1], [0, 1, 0, 0, 3, 0, 3, 5, 3, 0], [0, 1, 0, 0, 3, 0, 3, 6, 1, 1], [0, 1, 0, 0, 3, 0, 4, 3, 4, 0], [0, 1, 0, 0, 3, 0, 4, 4, 2, 1], [0, 1, 0, 0, 3, 0, 4, 5, 0, 2], [0, 1, 0, 0, 3, 0, 5, 1, 5, 0], [0, 1, 0, 0, 3, 0, 5, 2, 3, 1], [0, 1, 0, 0, 3, 0, 5, 3, 1, 2], [0, 1, 0, 0, 3, 0, 6, 0, 4, 1], [0, 1, 0, 0, 3, 0, 6, 1, 2, 2], [0, 1, 0, 0, 3, 0, 6, 2, 0, 3], [0, 1, 0, 0, 3, 0, 7, 0, 1, 3], [0, 1, 0, 0, 3, 1, 0, 8, 2, 0], [0, 1, 0, 0, 3, 1, 0, 9, 0, 1], [0, 1, 0, 0, 3, 1, 1, 6, 3, 0], [0, 1, 0, 0, 3, 1, 1, 7, 1, 1], [0, 1, 0, 0, 3, 1, 2, 4, 4, 0], [0, 1, 0, 0, 3, 1, 2, 5, 2, 1], [0, 1, 0, 0, 3, 1, 2, 6, 0, 2], [0, 1, 0, 0, 3, 1, 3, 2, 5, 0], [0, 1, 0, 0, 3, 1, 3, 3, 3, 1], [0, 1, 0, 0, 3, 1, 3, 4, 1, 2], [0, 1, 0, 0, 3, 1, 4, 0, 6, 0], [0, 1, 0, 0, 3, 1, 4, 1, 4, 1], [0, 1, 0, 0, 3, 1, 4, 2, 2, 2], [0, 1, 0, 0, 3, 1, 4, 3, 0, 3], [0, 1, 0, 0, 3, 1, 5, 0, 3, 2], [0, 1, 0, 0, 3, 1, 5, 1, 1, 3], [0, 1, 0, 0, 3, 1, 6, 0, 0, 4], [0, 1, 0, 0, 3, 2, 0, 5, 4, 0], [0, 1, 0, 0, 3, 2, 0, 6, 2, 1], [0, 1, 0, 0, 3, 2, 0, 7, 0, 2], [0, 1, 0, 0, 3, 2, 1, 3, 5, 0], [0, 1, 0, 0, 3, 2, 1, 4, 3, 1], [0, 1, 0, 0, 3, 2, 1, 5, 1, 2], [0, 1, 0, 0, 3, 2, 2, 1, 6, 0], [0, 1, 0, 0, 3, 2, 2, 2, 4, 1], [0, 1, 0, 0, 3, 2, 2, 3, 2, 2], [0, 1, 0, 0, 3, 2, 2, 4, 0, 3], [0, 1, 0, 0, 3, 2, 3, 0, 5, 1], [0, 1, 0, 0, 3, 2, 3, 1, 3, 2], [0, 1, 0, 0, 3, 2, 3, 2, 1, 3], [0, 1, 0, 0, 3, 2, 4, 0, 2, 3], [0, 1, 0, 0, 3, 2, 4, 1, 0, 4], [0, 1, 0, 0, 3, 3, 0, 2, 6, 0], [0, 1, 0, 0, 3, 3, 0, 3, 4, 1], [0, 1, 0, 0, 3, 3, 0, 4, 2, 2], [0, 1, 0, 0, 3, 3, 0, 5, 0, 3], [0, 1, 0, 0, 3, 3, 1, 0, 7, 0], [0, 1, 0, 0, 3, 3, 1, 1, 5, 1], [0, 1, 0, 0, 3, 3, 1, 2, 3, 2], [0, 1, 0, 0, 3, 3, 1, 3, 1, 3], [0, 1, 0, 0, 3, 3, 2, 0, 4, 2], [0, 1, 0, 0, 3, 3, 2, 1, 2, 3], [0, 1, 0, 0, 3, 3, 2, 2, 0, 4], [0, 1, 0, 0, 3, 3, 3, 0, 1, 4], [0, 1, 0, 0, 3, 4, 0, 0, 6, 1], [0, 1, 0, 0, 3, 4, 0, 1, 4, 2], [0, 1, 0, 0, 3, 4, 0, 2, 2, 3], [0, 1, 0, 0, 3, 4, 0, 3, 0, 4], [0, 1, 0, 0, 3, 4, 1, 0, 3, 3], [0, 1, 0, 0, 3, 4, 1, 1, 1, 4], [0, 1, 0, 0, 3, 4, 2, 0, 0, 5], [0, 1, 0, 0, 3, 5, 0, 0, 2, 4], [0, 1, 0, 0, 3, 5, 0, 1, 0, 5], [0, 1, 0, 0, 4, 0, 0, 7, 3, 0], [0, 1, 0, 0, 4, 0, 0, 8, 1, 1], [0, 1, 0, 0, 4, 0, 1, 5, 4, 0], [0, 1, 0, 0, 4, 0, 1, 6, 2, 1], [0, 1, 0, 0, 4, 0, 1, 7, 0, 2], [0, 1, 0, 0, 4, 0, 2, 3, 5, 0], [0, 1, 0, 0, 4, 0, 2, 4, 3, 1], [0, 1, 0, 0, 4, 0, 2, 5, 1, 2], [0, 1, 0, 0, 4, 0, 3, 1, 6, 0], [0, 1, 0, 0, 4, 0, 3, 2, 4, 1], [0, 1, 0, 0, 4, 0, 3, 3, 2, 2], [0, 1, 0, 0, 4, 0, 3, 4, 0, 3], [0, 1, 0, 0, 4, 0, 4, 0, 5, 1], [0, 1, 0, 0, 4, 0, 4, 1, 3, 2], [0, 1, 0, 0, 4, 0, 4, 2, 1, 3], [0, 1, 0, 0, 4, 0, 5, 0, 2, 3], [0, 1, 0, 0, 4, 0, 5, 1, 0, 4], [0, 1, 0, 0, 4, 1, 0, 4, 5, 0], [0, 1, 0, 0, 4, 1, 0, 5, 3, 1], [0, 1, 0, 0, 4, 1, 0, 6, 1, 2], [0, 1, 0, 0, 4, 1, 1, 2, 6, 0], [0, 1, 0, 0, 4, 1, 1, 3, 4, 1], [0, 1, 0, 0, 4, 1, 1, 4, 2, 2], [0, 1, 0, 0, 4, 1, 1, 5, 0, 3], [0, 1, 0, 0, 4, 1, 2, 0, 7, 0], [0, 1, 0, 0, 4, 1, 2, 1, 5, 1], [0, 1, 0, 0, 4, 1, 2, 2, 3, 2], [0, 1, 0, 0, 4, 1, 2, 3, 1, 3], [0, 1, 0, 0, 4, 1, 3, 0, 4, 2], [0, 1, 0, 0, 4, 1, 3, 1, 2, 3], [0, 1, 0, 0, 4, 1, 3, 2, 0, 4], [0, 1, 0, 0, 4, 1, 4, 0, 1, 4], [0, 1, 0, 0, 4, 2, 0, 1, 7, 0], [0, 1, 0, 0, 4, 2, 0, 2, 5, 1], [0, 1, 0, 0, 4, 2, 0, 3, 3, 2], [0, 1, 0, 0, 4, 2, 0, 4, 1, 3], [0, 1, 0, 0, 4, 2, 1, 0, 6, 1], [0, 1, 0, 0, 4, 2, 1, 1, 4, 2], [0, 1, 0, 0, 4, 2, 1, 2, 2, 3], [0, 1, 0, 0, 4, 2, 1, 3, 0, 4], [0, 1, 0, 0, 4, 2, 2, 0, 3, 3], [0, 1, 0, 0, 4, 2, 2, 1, 1, 4], [0, 1, 0, 0, 4, 2, 3, 0, 0, 5], [0, 1, 0, 0, 4, 3, 0, 0, 5, 2], [0, 1, 0, 0, 4, 3, 0, 1, 3, 3], [0, 1, 0, 0, 4, 3, 0, 2, 1, 4], [0, 1, 0, 0, 4, 3, 1, 0, 2, 4], [0, 1, 0, 0, 4, 3, 1, 1, 0, 5], [0, 1, 0, 0, 4, 4, 0, 0, 1, 5], [0, 1, 0, 0, 5, 0, 0, 3, 6, 0], [0, 1, 0, 0, 5, 0, 0, 4, 4, 1], [0, 1, 0, 0, 5, 0, 0, 5, 2, 2], [0, 1, 0, 0, 5, 0, 0, 6, 0, 3], [0, 1, 0, 0, 5, 0, 1, 1, 7, 0], [0, 1, 0, 0, 5, 0, 1, 2, 5, 1], [0, 1, 0, 0, 5, 0, 1, 3, 3, 2], [0, 1, 0, 0, 5, 0, 1, 4, 1, 3], [0, 1, 0, 0, 5, 0, 2, 0, 6, 1], [0, 1, 0, 0, 5, 0, 2, 1, 4, 2], [0, 1, 0, 0, 5, 0, 2, 2, 2, 3], [0, 1, 0, 0, 5, 0, 2, 3, 0, 4], [0, 1, 0, 0, 5, 0, 3, 0, 3, 3], [0, 1, 0, 0, 5, 0, 3, 1, 1, 4], [0, 1, 0, 0, 5, 0, 4, 0, 0, 5], [0, 1, 0, 0, 5, 1, 0, 0, 8, 0], [0, 1, 0, 0, 5, 1, 0, 1, 6, 1], [0, 1, 0, 0, 5, 1, 0, 2, 4, 2], [0, 1, 0, 0, 5, 1, 0, 3, 2, 3], [0, 1, 0, 0, 5, 1, 0, 4, 0, 4], [0, 1, 0, 0, 5, 1, 1, 0, 5, 2], [0, 1, 0, 0, 5, 1, 1, 1, 3, 3], [0, 1, 0, 0, 5, 1, 1, 2, 1, 4], [0, 1, 0, 0, 5, 1, 2, 0, 2, 4], [0, 1, 0, 0, 5, 1, 2, 1, 0, 5], [0, 1, 0, 0, 5, 2, 0, 0, 4, 3], [0, 1, 0, 0, 5, 2, 0, 1, 2, 4], [0, 1, 0, 0, 5, 2, 0, 2, 0, 5], [0, 1, 0, 0, 5, 2, 1, 0, 1, 5], [0, 1, 0, 0, 5, 3, 0, 0, 0, 6], [0, 1, 0, 0, 6, 0, 0, 0, 7, 1], [0, 1, 0, 0, 6, 0, 0, 1, 5, 2], [0, 1, 0, 0, 6, 0, 0, 2, 3, 3], [0, 1, 0, 0, 6, 0, 0, 3, 1, 4], [0, 1, 0, 0, 6, 0, 1, 0, 4, 3], [0, 1, 0, 0, 6, 0, 1, 1, 2, 4], [0, 1, 0, 0, 6, 0, 1, 2, 0, 5], [0, 1, 0, 0, 6, 0, 2, 0, 1, 5], [0, 1, 0, 0, 6, 1, 0, 0, 3, 4], [0, 1, 0, 0, 6, 1, 0, 1, 1, 5], [0, 1, 0, 0, 6, 1, 1, 0, 0, 6], [0, 1, 0, 0, 7, 0, 0, 0, 2, 5], [0, 1, 0, 0, 7, 0, 0, 1, 0, 6], [0, 1, 0, 1, 0, 0, 5, 8, 0, 0], [0, 1, 0, 1, 0, 0, 6, 6, 1, 0], [0, 1, 0, 1, 0, 0, 7, 4, 2, 0], [0, 1, 0, 1, 0, 0, 7, 5, 0, 1], [0, 1, 0, 1, 0, 0, 8, 2, 3, 0], [0, 1, 0, 1, 0, 0, 8, 3, 1, 1], [0, 1, 0, 1, 0, 0, 9, 0, 4, 0], [0, 1, 0, 1, 0, 0, 9, 1, 2, 1], [0, 1, 0, 1, 0, 0, 9, 2, 0, 2], [0, 1, 0, 1, 0, 0, 10, 0, 1, 2], [0, 1, 0, 1, 0, 1, 3, 9, 0, 0], [0, 1, 0, 1, 0, 1, 4, 7, 1, 0], [0, 1, 0, 1, 0, 1, 5, 5, 2, 0], [0, 1, 0, 1, 0, 1, 5, 6, 0, 1], [0, 1, 0, 1, 0, 1, 6, 3, 3, 0], [0, 1, 0, 1, 0, 1, 6, 4, 1, 1], [0, 1, 0, 1, 0, 1, 7, 1, 4, 0], [0, 1, 0, 1, 0, 1, 7, 2, 2, 1], [0, 1, 0, 1, 0, 1, 7, 3, 0, 2], [0, 1, 0, 1, 0, 1, 8, 0, 3, 1], [0, 1, 0, 1, 0, 1, 8, 1, 1, 2], [0, 1, 0, 1, 0, 1, 9, 0, 0, 3], [0, 1, 0, 1, 0, 2, 1, 10, 0, 0], [0, 1, 0, 1, 0, 2, 2, 8, 1, 0], [0, 1, 0, 1, 0, 2, 3, 6, 2, 0], [0, 1, 0, 1, 0, 2, 3, 7, 0, 1], [0, 1, 0, 1, 0, 2, 4, 4, 3, 0], [0, 1, 0, 1, 0, 2, 4, 5, 1, 1], [0, 1, 0, 1, 0, 2, 5, 2, 4, 0], [0, 1, 0, 1, 0, 2, 5, 3, 2, 1], [0, 1, 0, 1, 0, 2, 5, 4, 0, 2], [0, 1, 0, 1, 0, 2, 6, 0, 5, 0], [0, 1, 0, 1, 0, 2, 6, 1, 3, 1], [0, 1, 0, 1, 0, 2, 6, 2, 1, 2], [0, 1, 0, 1, 0, 2, 7, 0, 2, 2], [0, 1, 0, 1, 0, 2, 7, 1, 0, 3], [0, 1, 0, 1, 0, 3, 0, 9, 1, 0], [0, 1, 0, 1, 0, 3, 1, 7, 2, 0], [0, 1, 0, 1, 0, 3, 1, 8, 0, 1], [0, 1, 0, 1, 0, 3, 2, 5, 3, 0], [0, 1, 0, 1, 0, 3, 2, 6, 1, 1], [0, 1, 0, 1, 0, 3, 3, 3, 4, 0], [0, 1, 0, 1, 0, 3, 3, 4, 2, 1], [0, 1, 0, 1, 0, 3, 3, 5, 0, 2], [0, 1, 0, 1, 0, 3, 4, 1, 5, 0], [0, 1, 0, 1, 0, 3, 4, 2, 3, 1], [0, 1, 0, 1, 0, 3, 4, 3, 1, 2], [0, 1, 0, 1, 0, 3, 5, 0, 4, 1], [0, 1, 0, 1, 0, 3, 5, 1, 2, 2], [0, 1, 0, 1, 0, 3, 5, 2, 0, 3], [0, 1, 0, 1, 0, 3, 6, 0, 1, 3], [0, 1, 0, 1, 0, 4, 0, 6, 3, 0], [0, 1, 0, 1, 0, 4, 0, 7, 1, 1], [0, 1, 0, 1, 0, 4, 1, 4, 4, 0], [0, 1, 0, 1, 0, 4, 1, 5, 2, 1], [0, 1, 0, 1, 0, 4, 1, 6, 0, 2], [0, 1, 0, 1, 0, 4, 2, 2, 5, 0], [0, 1, 0, 1, 0, 4, 2, 3, 3, 1], [0, 1, 0, 1, 0, 4, 2, 4, 1, 2], [0, 1, 0, 1, 0, 4, 3, 0, 6, 0], [0, 1, 0, 1, 0, 4, 3, 1, 4, 1], [0, 1, 0, 1, 0, 4, 3, 2, 2, 2], [0, 1, 0, 1, 0, 4, 3, 3, 0, 3], [0, 1, 0, 1, 0, 4, 4, 0, 3, 2], [0, 1, 0, 1, 0, 4, 4, 1, 1, 3], [0, 1, 0, 1, 0, 4, 5, 0, 0, 4], [0, 1, 0, 1, 0, 5, 0, 3, 5, 0], [0, 1, 0, 1, 0, 5, 0, 4, 3, 1], [0, 1, 0, 1, 0, 5, 0, 5, 1, 2], [0, 1, 0, 1, 0, 5, 1, 1, 6, 0], [0, 1, 0, 1, 0, 5, 1, 2, 4, 1], [0, 1, 0, 1, 0, 5, 1, 3, 2, 2], [0, 1, 0, 1, 0, 5, 1, 4, 0, 3], [0, 1, 0, 1, 0, 5, 2, 0, 5, 1], [0, 1, 0, 1, 0, 5, 2, 1, 3, 2], [0, 1, 0, 1, 0, 5, 2, 2, 1, 3], [0, 1, 0, 1, 0, 5, 3, 0, 2, 3], [0, 1, 0, 1, 0, 5, 3, 1, 0, 4], [0, 1, 0, 1, 0, 6, 0, 0, 7, 0], [0, 1, 0, 1, 0, 6, 0, 1, 5, 1], [0, 1, 0, 1, 0, 6, 0, 2, 3, 2], [0, 1, 0, 1, 0, 6, 0, 3, 1, 3], [0, 1, 0, 1, 0, 6, 1, 0, 4, 2], [0, 1, 0, 1, 0, 6, 1, 1, 2, 3], [0, 1, 0, 1, 0, 6, 1, 2, 0, 4], [0, 1, 0, 1, 0, 6, 2, 0, 1, 4], [0, 1, 0, 1, 0, 7, 0, 0, 3, 3], [0, 1, 0, 1, 0, 7, 0, 1, 1, 4], [0, 1, 0, 1, 0, 7, 1, 0, 0, 5], [0, 1, 0, 1, 1, 0, 2, 10, 0, 0], [0, 1, 0, 1, 1, 0, 3, 8, 1, 0], [0, 1, 0, 1, 1, 0, 4, 6, 2, 0], [0, 1, 0, 1, 1, 0, 4, 7, 0, 1], [0, 1, 0, 1, 1, 0, 5, 4, 3, 0], [0, 1, 0, 1, 1, 0, 5, 5, 1, 1], [0, 1, 0, 1, 1, 0, 6, 2, 4, 0], [0, 1, 0, 1, 1, 0, 6, 3, 2, 1], [0, 1, 0, 1, 1, 0, 6, 4, 0, 2], [0, 1, 0, 1, 1, 0, 7, 0, 5, 0], [0, 1, 0, 1, 1, 0, 7, 1, 3, 1], [0, 1, 0, 1, 1, 0, 7, 2, 1, 2], [0, 1, 0, 1, 1, 0, 8, 0, 2, 2], [0, 1, 0, 1, 1, 0, 8, 1, 0, 3], [0, 1, 0, 1, 1, 1, 0, 11, 0, 0], [0, 1, 0, 1, 1, 1, 1, 9, 1, 0], [0, 1, 0, 1, 1, 1, 2, 7, 2, 0], [0, 1, 0, 1, 1, 1, 2, 8, 0, 1], [0, 1, 0, 1, 1, 1, 3, 5, 3, 0], [0, 1, 0, 1, 1, 1, 3, 6, 1, 1], [0, 1, 0, 1, 1, 1, 4, 3, 4, 0], [0, 1, 0, 1, 1, 1, 4, 4, 2, 1], [0, 1, 0, 1, 1, 1, 4, 5, 0, 2], [0, 1, 0, 1, 1, 1, 5, 1, 5, 0], [0, 1, 0, 1, 1, 1, 5, 2, 3, 1], [0, 1, 0, 1, 1, 1, 5, 3, 1, 2], [0, 1, 0, 1, 1, 1, 6, 0, 4, 1], [0, 1, 0, 1, 1, 1, 6, 1, 2, 2], [0, 1, 0, 1, 1, 1, 6, 2, 0, 3], [0, 1, 0, 1, 1, 1, 7, 0, 1, 3], [0, 1, 0, 1, 1, 2, 0, 8, 2, 0], [0, 1, 0, 1, 1, 2, 0, 9, 0, 1], [0, 1, 0, 1, 1, 2, 1, 6, 3, 0], [0, 1, 0, 1, 1, 2, 1, 7, 1, 1], [0, 1, 0, 1, 1, 2, 2, 4, 4, 0], [0, 1, 0, 1, 1, 2, 2, 5, 2, 1], [0, 1, 0, 1, 1, 2, 2, 6, 0, 2], [0, 1, 0, 1, 1, 2, 3, 2, 5, 0], [0, 1, 0, 1, 1, 2, 3, 3, 3, 1], [0, 1, 0, 1, 1, 2, 3, 4, 1, 2], [0, 1, 0, 1, 1, 2, 4, 0, 6, 0], [0, 1, 0, 1, 1, 2, 4, 1, 4, 1], [0, 1, 0, 1, 1, 2, 4, 2, 2, 2], [0, 1, 0, 1, 1, 2, 4, 3, 0, 3], [0, 1, 0, 1, 1, 2, 5, 0, 3, 2], [0, 1, 0, 1, 1, 2, 5, 1, 1, 3], [0, 1, 0, 1, 1, 2, 6, 0, 0, 4], [0, 1, 0, 1, 1, 3, 0, 5, 4, 0], [0, 1, 0, 1, 1, 3, 0, 6, 2, 1], [0, 1, 0, 1, 1, 3, 0, 7, 0, 2], [0, 1, 0, 1, 1, 3, 1, 3, 5, 0], [0, 1, 0, 1, 1, 3, 1, 4, 3, 1], [0, 1, 0, 1, 1, 3, 1, 5, 1, 2], [0, 1, 0, 1, 1, 3, 2, 1, 6, 0], [0, 1, 0, 1, 1, 3, 2, 2, 4, 1], [0, 1, 0, 1, 1, 3, 2, 3, 2, 2], [0, 1, 0, 1, 1, 3, 2, 4, 0, 3], [0, 1, 0, 1, 1, 3, 3, 0, 5, 1], [0, 1, 0, 1, 1, 3, 3, 1, 3, 2], [0, 1, 0, 1, 1, 3, 3, 2, 1, 3], [0, 1, 0, 1, 1, 3, 4, 0, 2, 3], [0, 1, 0, 1, 1, 3, 4, 1, 0, 4], [0, 1, 0, 1, 1, 4, 0, 2, 6, 0], [0, 1, 0, 1, 1, 4, 0, 3, 4, 1], [0, 1, 0, 1, 1, 4, 0, 4, 2, 2], [0, 1, 0, 1, 1, 4, 0, 5, 0, 3], [0, 1, 0, 1, 1, 4, 1, 0, 7, 0], [0, 1, 0, 1, 1, 4, 1, 1, 5, 1], [0, 1, 0, 1, 1, 4, 1, 2, 3, 2], [0, 1, 0, 1, 1, 4, 1, 3, 1, 3], [0, 1, 0, 1, 1, 4, 2, 0, 4, 2], [0, 1, 0, 1, 1, 4, 2, 1, 2, 3], [0, 1, 0, 1, 1, 4, 2, 2, 0, 4], [0, 1, 0, 1, 1, 4, 3, 0, 1, 4], [0, 1, 0, 1, 1, 5, 0, 0, 6, 1], [0, 1, 0, 1, 1, 5, 0, 1, 4, 2], [0, 1, 0, 1, 1, 5, 0, 2, 2, 3], [0, 1, 0, 1, 1, 5, 0, 3, 0, 4], [0, 1, 0, 1, 1, 5, 1, 0, 3, 3], [0, 1, 0, 1, 1, 5, 1, 1, 1, 4], [0, 1, 0, 1, 1, 5, 2, 0, 0, 5], [0, 1, 0, 1, 1, 6, 0, 0, 2, 4], [0, 1, 0, 1, 1, 6, 0, 1, 0, 5], [0, 1, 0, 1, 2, 0, 0, 10, 1, 0], [0, 1, 0, 1, 2, 0, 1, 8, 2, 0], [0, 1, 0, 1, 2, 0, 1, 9, 0, 1], [0, 1, 0, 1, 2, 0, 2, 6, 3, 0], [0, 1, 0, 1, 2, 0, 2, 7, 1, 1], [0, 1, 0, 1, 2, 0, 3, 4, 4, 0], [0, 1, 0, 1, 2, 0, 3, 5, 2, 1], [0, 1, 0, 1, 2, 0, 3, 6, 0, 2], [0, 1, 0, 1, 2, 0, 4, 2, 5, 0], [0, 1, 0, 1, 2, 0, 4, 3, 3, 1], [0, 1, 0, 1, 2, 0, 4, 4, 1, 2], [0, 1, 0, 1, 2, 0, 5, 0, 6, 0], [0, 1, 0, 1, 2, 0, 5, 1, 4, 1], [0, 1, 0, 1, 2, 0, 5, 2, 2, 2], [0, 1, 0, 1, 2, 0, 5, 3, 0, 3], [0, 1, 0, 1, 2, 0, 6, 0, 3, 2], [0, 1, 0, 1, 2, 0, 6, 1, 1, 3], [0, 1, 0, 1, 2, 0, 7, 0, 0, 4], [0, 1, 0, 1, 2, 1, 0, 7, 3, 0], [0, 1, 0, 1, 2, 1, 0, 8, 1, 1], [0, 1, 0, 1, 2, 1, 1, 5, 4, 0], [0, 1, 0, 1, 2, 1, 1, 6, 2, 1], [0, 1, 0, 1, 2, 1, 1, 7, 0, 2], [0, 1, 0, 1, 2, 1, 2, 3, 5, 0], [0, 1, 0, 1, 2, 1, 2, 4, 3, 1], [0, 1, 0, 1, 2, 1, 2, 5, 1, 2], [0, 1, 0, 1, 2, 1, 3, 1, 6, 0], [0, 1, 0, 1, 2, 1, 3, 2, 4, 1], [0, 1, 0, 1, 2, 1, 3, 3, 2, 2], [0, 1, 0, 1, 2, 1, 3, 4, 0, 3], [0, 1, 0, 1, 2, 1, 4, 0, 5, 1], [0, 1, 0, 1, 2, 1, 4, 1, 3, 2], [0, 1, 0, 1, 2, 1, 4, 2, 1, 3], [0, 1, 0, 1, 2, 1, 5, 0, 2, 3], [0, 1, 0, 1, 2, 1, 5, 1, 0, 4], [0, 1, 0, 1, 2, 2, 0, 4, 5, 0], [0, 1, 0, 1, 2, 2, 0, 5, 3, 1], [0, 1, 0, 1, 2, 2, 0, 6, 1, 2], [0, 1, 0, 1, 2, 2, 1, 2, 6, 0], [0, 1, 0, 1, 2, 2, 1, 3, 4, 1], [0, 1, 0, 1, 2, 2, 1, 4, 2, 2], [0, 1, 0, 1, 2, 2, 1, 5, 0, 3], [0, 1, 0, 1, 2, 2, 2, 0, 7, 0], [0, 1, 0, 1, 2, 2, 2, 1, 5, 1], [0, 1, 0, 1, 2, 2, 2, 2, 3, 2], [0, 1, 0, 1, 2, 2, 2, 3, 1, 3], [0, 1, 0, 1, 2, 2, 3, 0, 4, 2], [0, 1, 0, 1, 2, 2, 3, 1, 2, 3], [0, 1, 0, 1, 2, 2, 3, 2, 0, 4], [0, 1, 0, 1, 2, 2, 4, 0, 1, 4], [0, 1, 0, 1, 2, 3, 0, 1, 7, 0], [0, 1, 0, 1, 2, 3, 0, 2, 5, 1], [0, 1, 0, 1, 2, 3, 0, 3, 3, 2], [0, 1, 0, 1, 2, 3, 0, 4, 1, 3], [0, 1, 0, 1, 2, 3, 1, 0, 6, 1], [0, 1, 0, 1, 2, 3, 1, 1, 4, 2], [0, 1, 0, 1, 2, 3, 1, 2, 2, 3], [0, 1, 0, 1, 2, 3, 1, 3, 0, 4], [0, 1, 0, 1, 2, 3, 2, 0, 3, 3], [0, 1, 0, 1, 2, 3, 2, 1, 1, 4], [0, 1, 0, 1, 2, 3, 3, 0, 0, 5], [0, 1, 0, 1, 2, 4, 0, 0, 5, 2], [0, 1, 0, 1, 2, 4, 0, 1, 3, 3], [0, 1, 0, 1, 2, 4, 0, 2, 1, 4], [0, 1, 0, 1, 2, 4, 1, 0, 2, 4], [0, 1, 0, 1, 2, 4, 1, 1, 0, 5], [0, 1, 0, 1, 2, 5, 0, 0, 1, 5], [0, 1, 0, 1, 3, 0, 0, 6, 4, 0], [0, 1, 0, 1, 3, 0, 0, 7, 2, 1], [0, 1, 0, 1, 3, 0, 0, 8, 0, 2], [0, 1, 0, 1, 3, 0, 1, 4, 5, 0], [0, 1, 0, 1, 3, 0, 1, 5, 3, 1], [0, 1, 0, 1, 3, 0, 1, 6, 1, 2], [0, 1, 0, 1, 3, 0, 2, 2, 6, 0], [0, 1, 0, 1, 3, 0, 2, 3, 4, 1], [0, 1, 0, 1, 3, 0, 2, 4, 2, 2], [0, 1, 0, 1, 3, 0, 2, 5, 0, 3], [0, 1, 0, 1, 3, 0, 3, 0, 7, 0], [0, 1, 0, 1, 3, 0, 3, 1, 5, 1], [0, 1, 0, 1, 3, 0, 3, 2, 3, 2], [0, 1, 0, 1, 3, 0, 3, 3, 1, 3], [0, 1, 0, 1, 3, 0, 4, 0, 4, 2], [0, 1, 0, 1, 3, 0, 4, 1, 2, 3], [0, 1, 0, 1, 3, 0, 4, 2, 0, 4], [0, 1, 0, 1, 3, 0, 5, 0, 1, 4], [0, 1, 0, 1, 3, 1, 0, 3, 6, 0], [0, 1, 0, 1, 3, 1, 0, 4, 4, 1], [0, 1, 0, 1, 3, 1, 0, 5, 2, 2], [0, 1, 0, 1, 3, 1, 0, 6, 0, 3], [0, 1, 0, 1, 3, 1, 1, 1, 7, 0], [0, 1, 0, 1, 3, 1, 1, 2, 5, 1], [0, 1, 0, 1, 3, 1, 1, 3, 3, 2], [0, 1, 0, 1, 3, 1, 1, 4, 1, 3], [0, 1, 0, 1, 3, 1, 2, 0, 6, 1], [0, 1, 0, 1, 3, 1, 2, 1, 4, 2], [0, 1, 0, 1, 3, 1, 2, 2, 2, 3], [0, 1, 0, 1, 3, 1, 2, 3, 0, 4], [0, 1, 0, 1, 3, 1, 3, 0, 3, 3], [0, 1, 0, 1, 3, 1, 3, 1, 1, 4], [0, 1, 0, 1, 3, 1, 4, 0, 0, 5], [0, 1, 0, 1, 3, 2, 0, 0, 8, 0], [0, 1, 0, 1, 3, 2, 0, 1, 6, 1], [0, 1, 0, 1, 3, 2, 0, 2, 4, 2], [0, 1, 0, 1, 3, 2, 0, 3, 2, 3], [0, 1, 0, 1, 3, 2, 0, 4, 0, 4], [0, 1, 0, 1, 3, 2, 1, 0, 5, 2], [0, 1, 0, 1, 3, 2, 1, 1, 3, 3], [0, 1, 0, 1, 3, 2, 1, 2, 1, 4], [0, 1, 0, 1, 3, 2, 2, 0, 2, 4], [0, 1, 0, 1, 3, 2, 2, 1, 0, 5], [0, 1, 0, 1, 3, 3, 0, 0, 4, 3], [0, 1, 0, 1, 3, 3, 0, 1, 2, 4], [0, 1, 0, 1, 3, 3, 0, 2, 0, 5], [0, 1, 0, 1, 3, 3, 1, 0, 1, 5], [0, 1, 0, 1, 3, 4, 0, 0, 0, 6], [0, 1, 0, 1, 4, 0, 0, 2, 7, 0], [0, 1, 0, 1, 4, 0, 0, 3, 5, 1], [0, 1, 0, 1, 4, 0, 0, 4, 3, 2], [0, 1, 0, 1, 4, 0, 0, 5, 1, 3], [0, 1, 0, 1, 4, 0, 1, 0, 8, 0], [0, 1, 0, 1, 4, 0, 1, 1, 6, 1], [0, 1, 0, 1, 4, 0, 1, 2, 4, 2], [0, 1, 0, 1, 4, 0, 1, 3, 2, 3], [0, 1, 0, 1, 4, 0, 1, 4, 0, 4], [0, 1, 0, 1, 4, 0, 2, 0, 5, 2], [0, 1, 0, 1, 4, 0, 2, 1, 3, 3], [0, 1, 0, 1, 4, 0, 2, 2, 1, 4], [0, 1, 0, 1, 4, 0, 3, 0, 2, 4], [0, 1, 0, 1, 4, 0, 3, 1, 0, 5], [0, 1, 0, 1, 4, 1, 0, 0, 7, 1], [0, 1, 0, 1, 4, 1, 0, 1, 5, 2], [0, 1, 0, 1, 4, 1, 0, 2, 3, 3], [0, 1, 0, 1, 4, 1, 0, 3, 1, 4], [0, 1, 0, 1, 4, 1, 1, 0, 4, 3], [0, 1, 0, 1, 4, 1, 1, 1, 2, 4], [0, 1, 0, 1, 4, 1, 1, 2, 0, 5], [0, 1, 0, 1, 4, 1, 2, 0, 1, 5], [0, 1, 0, 1, 4, 2, 0, 0, 3, 4], [0, 1, 0, 1, 4, 2, 0, 1, 1, 5], [0, 1, 0, 1, 4, 2, 1, 0, 0, 6], [0, 1, 0, 1, 5, 0, 0, 0, 6, 2], [0, 1, 0, 1, 5, 0, 0, 1, 4, 3], [0, 1, 0, 1, 5, 0, 0, 2, 2, 4], [0, 1, 0, 1, 5, 0, 0, 3, 0, 5], [0, 1, 0, 1, 5, 0, 1, 0, 3, 4], [0, 1, 0, 1, 5, 0, 1, 1, 1, 5], [0, 1, 0, 1, 5, 0, 2, 0, 0, 6], [0, 1, 0, 1, 5, 1, 0, 0, 2, 5], [0, 1, 0, 1, 5, 1, 0, 1, 0, 6], [0, 1, 0, 1, 6, 0, 0, 0, 1, 6], [0, 1, 0, 2, 0, 0, 1, 11, 0, 0], [0, 1, 0, 2, 0, 0, 2, 9, 1, 0], [0, 1, 0, 2, 0, 0, 3, 7, 2, 0], [0, 1, 0, 2, 0, 0, 3, 8, 0, 1], [0, 1, 0, 2, 0, 0, 4, 5, 3, 0], [0, 1, 0, 2, 0, 0, 4, 6, 1, 1], [0, 1, 0, 2, 0, 0, 5, 3, 4, 0], [0, 1, 0, 2, 0, 0, 5, 4, 2, 1], [0, 1, 0, 2, 0, 0, 5, 5, 0, 2], [0, 1, 0, 2, 0, 0, 6, 1, 5, 0], [0, 1, 0, 2, 0, 0, 6, 2, 3, 1], [0, 1, 0, 2, 0, 0, 6, 3, 1, 2], [0, 1, 0, 2, 0, 0, 7, 0, 4, 1], [0, 1, 0, 2, 0, 0, 7, 1, 2, 2], [0, 1, 0, 2, 0, 0, 7, 2, 0, 3], [0, 1, 0, 2, 0, 0, 8, 0, 1, 3], [0, 1, 0, 2, 0, 1, 0, 10, 1, 0], [0, 1, 0, 2, 0, 1, 1, 8, 2, 0], [0, 1, 0, 2, 0, 1, 1, 9, 0, 1], [0, 1, 0, 2, 0, 1, 2, 6, 3, 0], [0, 1, 0, 2, 0, 1, 2, 7, 1, 1], [0, 1, 0, 2, 0, 1, 3, 4, 4, 0], [0, 1, 0, 2, 0, 1, 3, 5, 2, 1], [0, 1, 0, 2, 0, 1, 3, 6, 0, 2], [0, 1, 0, 2, 0, 1, 4, 2, 5, 0], [0, 1, 0, 2, 0, 1, 4, 3, 3, 1], [0, 1, 0, 2, 0, 1, 4, 4, 1, 2], [0, 1, 0, 2, 0, 1, 5, 0, 6, 0], [0, 1, 0, 2, 0, 1, 5, 1, 4, 1], [0, 1, 0, 2, 0, 1, 5, 2, 2, 2], [0, 1, 0, 2, 0, 1, 5, 3, 0, 3], [0, 1, 0, 2, 0, 1, 6, 0, 3, 2], [0, 1, 0, 2, 0, 1, 6, 1, 1, 3], [0, 1, 0, 2, 0, 1, 7, 0, 0, 4], [0, 1, 0, 2, 0, 2, 0, 7, 3, 0], [0, 1, 0, 2, 0, 2, 0, 8, 1, 1], [0, 1, 0, 2, 0, 2, 1, 5, 4, 0], [0, 1, 0, 2, 0, 2, 1, 6, 2, 1], [0, 1, 0, 2, 0, 2, 1, 7, 0, 2], [0, 1, 0, 2, 0, 2, 2, 3, 5, 0], [0, 1, 0, 2, 0, 2, 2, 4, 3, 1], [0, 1, 0, 2, 0, 2, 2, 5, 1, 2], [0, 1, 0, 2, 0, 2, 3, 1, 6, 0], [0, 1, 0, 2, 0, 2, 3, 2, 4, 1], [0, 1, 0, 2, 0, 2, 3, 3, 2, 2], [0, 1, 0, 2, 0, 2, 3, 4, 0, 3], [0, 1, 0, 2, 0, 2, 4, 0, 5, 1], [0, 1, 0, 2, 0, 2, 4, 1, 3, 2], [0, 1, 0, 2, 0, 2, 4, 2, 1, 3], [0, 1, 0, 2, 0, 2, 5, 0, 2, 3], [0, 1, 0, 2, 0, 2, 5, 1, 0, 4], [0, 1, 0, 2, 0, 3, 0, 4, 5, 0], [0, 1, 0, 2, 0, 3, 0, 5, 3, 1], [0, 1, 0, 2, 0, 3, 0, 6, 1, 2], [0, 1, 0, 2, 0, 3, 1, 2, 6, 0], [0, 1, 0, 2, 0, 3, 1, 3, 4, 1], [0, 1, 0, 2, 0, 3, 1, 4, 2, 2], [0, 1, 0, 2, 0, 3, 1, 5, 0, 3], [0, 1, 0, 2, 0, 3, 2, 0, 7, 0], [0, 1, 0, 2, 0, 3, 2, 1, 5, 1], [0, 1, 0, 2, 0, 3, 2, 2, 3, 2], [0, 1, 0, 2, 0, 3, 2, 3, 1, 3], [0, 1, 0, 2, 0, 3, 3, 0, 4, 2], [0, 1, 0, 2, 0, 3, 3, 1, 2, 3], [0, 1, 0, 2, 0, 3, 3, 2, 0, 4], [0, 1, 0, 2, 0, 3, 4, 0, 1, 4], [0, 1, 0, 2, 0, 4, 0, 1, 7, 0], [0, 1, 0, 2, 0, 4, 0, 2, 5, 1], [0, 1, 0, 2, 0, 4, 0, 3, 3, 2], [0, 1, 0, 2, 0, 4, 0, 4, 1, 3], [0, 1, 0, 2, 0, 4, 1, 0, 6, 1], [0, 1, 0, 2, 0, 4, 1, 1, 4, 2], [0, 1, 0, 2, 0, 4, 1, 2, 2, 3], [0, 1, 0, 2, 0, 4, 1, 3, 0, 4], [0, 1, 0, 2, 0, 4, 2, 0, 3, 3], [0, 1, 0, 2, 0, 4, 2, 1, 1, 4], [0, 1, 0, 2, 0, 4, 3, 0, 0, 5], [0, 1, 0, 2, 0, 5, 0, 0, 5, 2], [0, 1, 0, 2, 0, 5, 0, 1, 3, 3], [0, 1, 0, 2, 0, 5, 0, 2, 1, 4], [0, 1, 0, 2, 0, 5, 1, 0, 2, 4], [0, 1, 0, 2, 0, 5, 1, 1, 0, 5], [0, 1, 0, 2, 0, 6, 0, 0, 1, 5], [0, 1, 0, 2, 1, 0, 0, 9, 2, 0], [0, 1, 0, 2, 1, 0, 0, 10, 0, 1], [0, 1, 0, 2, 1, 0, 1, 7, 3, 0], [0, 1, 0, 2, 1, 0, 1, 8, 1, 1], [0, 1, 0, 2, 1, 0, 2, 5, 4, 0], [0, 1, 0, 2, 1, 0, 2, 6, 2, 1], [0, 1, 0, 2, 1, 0, 2, 7, 0, 2], [0, 1, 0, 2, 1, 0, 3, 3, 5, 0], [0, 1, 0, 2, 1, 0, 3, 4, 3, 1], [0, 1, 0, 2, 1, 0, 3, 5, 1, 2], [0, 1, 0, 2, 1, 0, 4, 1, 6, 0], [0, 1, 0, 2, 1, 0, 4, 2, 4, 1], [0, 1, 0, 2, 1, 0, 4, 3, 2, 2], [0, 1, 0, 2, 1, 0, 4, 4, 0, 3], [0, 1, 0, 2, 1, 0, 5, 0, 5, 1], [0, 1, 0, 2, 1, 0, 5, 1, 3, 2], [0, 1, 0, 2, 1, 0, 5, 2, 1, 3], [0, 1, 0, 2, 1, 0, 6, 0, 2, 3], [0, 1, 0, 2, 1, 0, 6, 1, 0, 4], [0, 1, 0, 2, 1, 1, 0, 6, 4, 0], [0, 1, 0, 2, 1, 1, 0, 7, 2, 1], [0, 1, 0, 2, 1, 1, 0, 8, 0, 2], [0, 1, 0, 2, 1, 1, 1, 4, 5, 0], [0, 1, 0, 2, 1, 1, 1, 5, 3, 1], [0, 1, 0, 2, 1, 1, 1, 6, 1, 2], [0, 1, 0, 2, 1, 1, 2, 2, 6, 0], [0, 1, 0, 2, 1, 1, 2, 3, 4, 1], [0, 1, 0, 2, 1, 1, 2, 4, 2, 2], [0, 1, 0, 2, 1, 1, 2, 5, 0, 3], [0, 1, 0, 2, 1, 1, 3, 0, 7, 0], [0, 1, 0, 2, 1, 1, 3, 1, 5, 1], [0, 1, 0, 2, 1, 1, 3, 2, 3, 2], [0, 1, 0, 2, 1, 1, 3, 3, 1, 3], [0, 1, 0, 2, 1, 1, 4, 0, 4, 2], [0, 1, 0, 2, 1, 1, 4, 1, 2, 3], [0, 1, 0, 2, 1, 1, 4, 2, 0, 4], [0, 1, 0, 2, 1, 1, 5, 0, 1, 4], [0, 1, 0, 2, 1, 2, 0, 3, 6, 0], [0, 1, 0, 2, 1, 2, 0, 4, 4, 1], [0, 1, 0, 2, 1, 2, 0, 5, 2, 2], [0, 1, 0, 2, 1, 2, 0, 6, 0, 3], [0, 1, 0, 2, 1, 2, 1, 1, 7, 0], [0, 1, 0, 2, 1, 2, 1, 2, 5, 1], [0, 1, 0, 2, 1, 2, 1, 3, 3, 2], [0, 1, 0, 2, 1, 2, 1, 4, 1, 3], [0, 1, 0, 2, 1, 2, 2, 0, 6, 1], [0, 1, 0, 2, 1, 2, 2, 1, 4, 2], [0, 1, 0, 2, 1, 2, 2, 2, 2, 3], [0, 1, 0, 2, 1, 2, 2, 3, 0, 4], [0, 1, 0, 2, 1, 2, 3, 0, 3, 3], [0, 1, 0, 2, 1, 2, 3, 1, 1, 4], [0, 1, 0, 2, 1, 2, 4, 0, 0, 5], [0, 1, 0, 2, 1, 3, 0, 0, 8, 0], [0, 1, 0, 2, 1, 3, 0, 1, 6, 1], [0, 1, 0, 2, 1, 3, 0, 2, 4, 2], [0, 1, 0, 2, 1, 3, 0, 3, 2, 3], [0, 1, 0, 2, 1, 3, 0, 4, 0, 4], [0, 1, 0, 2, 1, 3, 1, 0, 5, 2], [0, 1, 0, 2, 1, 3, 1, 1, 3, 3], [0, 1, 0, 2, 1, 3, 1, 2, 1, 4], [0, 1, 0, 2, 1, 3, 2, 0, 2, 4], [0, 1, 0, 2, 1, 3, 2, 1, 0, 5], [0, 1, 0, 2, 1, 4, 0, 0, 4, 3], [0, 1, 0, 2, 1, 4, 0, 1, 2, 4], [0, 1, 0, 2, 1, 4, 0, 2, 0, 5], [0, 1, 0, 2, 1, 4, 1, 0, 1, 5], [0, 1, 0, 2, 1, 5, 0, 0, 0, 6], [0, 1, 0, 2, 2, 0, 0, 5, 5, 0], [0, 1, 0, 2, 2, 0, 0, 6, 3, 1], [0, 1, 0, 2, 2, 0, 0, 7, 1, 2], [0, 1, 0, 2, 2, 0, 1, 3, 6, 0], [0, 1, 0, 2, 2, 0, 1, 4, 4, 1], [0, 1, 0, 2, 2, 0, 1, 5, 2, 2], [0, 1, 0, 2, 2, 0, 1, 6, 0, 3], [0, 1, 0, 2, 2, 0, 2, 1, 7, 0], [0, 1, 0, 2, 2, 0, 2, 2, 5, 1], [0, 1, 0, 2, 2, 0, 2, 3, 3, 2], [0, 1, 0, 2, 2, 0, 2, 4, 1, 3], [0, 1, 0, 2, 2, 0, 3, 0, 6, 1], [0, 1, 0, 2, 2, 0, 3, 1, 4, 2], [0, 1, 0, 2, 2, 0, 3, 2, 2, 3], [0, 1, 0, 2, 2, 0, 3, 3, 0, 4], [0, 1, 0, 2, 2, 0, 4, 0, 3, 3], [0, 1, 0, 2, 2, 0, 4, 1, 1, 4], [0, 1, 0, 2, 2, 0, 5, 0, 0, 5], [0, 1, 0, 2, 2, 1, 0, 2, 7, 0], [0, 1, 0, 2, 2, 1, 0, 3, 5, 1], [0, 1, 0, 2, 2, 1, 0, 4, 3, 2], [0, 1, 0, 2, 2, 1, 0, 5, 1, 3], [0, 1, 0, 2, 2, 1, 1, 0, 8, 0], [0, 1, 0, 2, 2, 1, 1, 1, 6, 1], [0, 1, 0, 2, 2, 1, 1, 2, 4, 2], [0, 1, 0, 2, 2, 1, 1, 3, 2, 3], [0, 1, 0, 2, 2, 1, 1, 4, 0, 4], [0, 1, 0, 2, 2, 1, 2, 0, 5, 2], [0, 1, 0, 2, 2, 1, 2, 1, 3, 3], [0, 1, 0, 2, 2, 1, 2, 2, 1, 4], [0, 1, 0, 2, 2, 1, 3, 0, 2, 4], [0, 1, 0, 2, 2, 1, 3, 1, 0, 5], [0, 1, 0, 2, 2, 2, 0, 0, 7, 1], [0, 1, 0, 2, 2, 2, 0, 1, 5, 2], [0, 1, 0, 2, 2, 2, 0, 2, 3, 3], [0, 1, 0, 2, 2, 2, 0, 3, 1, 4], [0, 1, 0, 2, 2, 2, 1, 0, 4, 3], [0, 1, 0, 2, 2, 2, 1, 1, 2, 4], [0, 1, 0, 2, 2, 2, 1, 2, 0, 5], [0, 1, 0, 2, 2, 2, 2, 0, 1, 5], [0, 1, 0, 2, 2, 3, 0, 0, 3, 4], [0, 1, 0, 2, 2, 3, 0, 1, 1, 5], [0, 1, 0, 2, 2, 3, 1, 0, 0, 6], [0, 1, 0, 2, 3, 0, 0, 1, 8, 0], [0, 1, 0, 2, 3, 0, 0, 2, 6, 1], [0, 1, 0, 2, 3, 0, 0, 3, 4, 2], [0, 1, 0, 2, 3, 0, 0, 4, 2, 3], [0, 1, 0, 2, 3, 0, 0, 5, 0, 4], [0, 1, 0, 2, 3, 0, 1, 0, 7, 1], [0, 1, 0, 2, 3, 0, 1, 1, 5, 2], [0, 1, 0, 2, 3, 0, 1, 2, 3, 3], [0, 1, 0, 2, 3, 0, 1, 3, 1, 4], [0, 1, 0, 2, 3, 0, 2, 0, 4, 3], [0, 1, 0, 2, 3, 0, 2, 1, 2, 4], [0, 1, 0, 2, 3, 0, 2, 2, 0, 5], [0, 1, 0, 2, 3, 0, 3, 0, 1, 5], [0, 1, 0, 2, 3, 1, 0, 0, 6, 2], [0, 1, 0, 2, 3, 1, 0, 1, 4, 3], [0, 1, 0, 2, 3, 1, 0, 2, 2, 4], [0, 1, 0, 2, 3, 1, 0, 3, 0, 5], [0, 1, 0, 2, 3, 1, 1, 0, 3, 4], [0, 1, 0, 2, 3, 1, 1, 1, 1, 5], [0, 1, 0, 2, 3, 1, 2, 0, 0, 6], [0, 1, 0, 2, 3, 2, 0, 0, 2, 5], [0, 1, 0, 2, 3, 2, 0, 1, 0, 6], [0, 1, 0, 2, 4, 0, 0, 0, 5, 3], [0, 1, 0, 2, 4, 0, 0, 1, 3, 4], [0, 1, 0, 2, 4, 0, 0, 2, 1, 5], [0, 1, 0, 2, 4, 0, 1, 0, 2, 5], [0, 1, 0, 2, 4, 0, 1, 1, 0, 6], [0, 1, 0, 2, 4, 1, 0, 0, 1, 6], [0, 1, 0, 2, 5, 0, 0, 0, 0, 7], [0, 1, 0, 3, 0, 0, 0, 8, 3, 0], [0, 1, 0, 3, 0, 0, 0, 9, 1, 1], [0, 1, 0, 3, 0, 0, 1, 6, 4, 0], [0, 1, 0, 3, 0, 0, 1, 7, 2, 1], [0, 1, 0, 3, 0, 0, 1, 8, 0, 2], [0, 1, 0, 3, 0, 0, 2, 4, 5, 0], [0, 1, 0, 3, 0, 0, 2, 5, 3, 1], [0, 1, 0, 3, 0, 0, 2, 6, 1, 2], [0, 1, 0, 3, 0, 0, 3, 2, 6, 0], [0, 1, 0, 3, 0, 0, 3, 3, 4, 1], [0, 1, 0, 3, 0, 0, 3, 4, 2, 2], [0, 1, 0, 3, 0, 0, 3, 5, 0, 3], [0, 1, 0, 3, 0, 0, 4, 0, 7, 0], [0, 1, 0, 3, 0, 0, 4, 1, 5, 1], [0, 1, 0, 3, 0, 0, 4, 2, 3, 2], [0, 1, 0, 3, 0, 0, 4, 3, 1, 3], [0, 1, 0, 3, 0, 0, 5, 0, 4, 2], [0, 1, 0, 3, 0, 0, 5, 1, 2, 3], [0, 1, 0, 3, 0, 0, 5, 2, 0, 4], [0, 1, 0, 3, 0, 0, 6, 0, 1, 4], [0, 1, 0, 3, 0, 1, 0, 5, 5, 0], [0, 1, 0, 3, 0, 1, 0, 6, 3, 1], [0, 1, 0, 3, 0, 1, 0, 7, 1, 2], [0, 1, 0, 3, 0, 1, 1, 3, 6, 0], [0, 1, 0, 3, 0, 1, 1, 4, 4, 1], [0, 1, 0, 3, 0, 1, 1, 5, 2, 2], [0, 1, 0, 3, 0, 1, 1, 6, 0, 3], [0, 1, 0, 3, 0, 1, 2, 1, 7, 0], [0, 1, 0, 3, 0, 1, 2, 2, 5, 1], [0, 1, 0, 3, 0, 1, 2, 3, 3, 2], [0, 1, 0, 3, 0, 1, 2, 4, 1, 3], [0, 1, 0, 3, 0, 1, 3, 0, 6, 1], [0, 1, 0, 3, 0, 1, 3, 1, 4, 2], [0, 1, 0, 3, 0, 1, 3, 2, 2, 3], [0, 1, 0, 3, 0, 1, 3, 3, 0, 4], [0, 1, 0, 3, 0, 1, 4, 0, 3, 3], [0, 1, 0, 3, 0, 1, 4, 1, 1, 4], [0, 1, 0, 3, 0, 1, 5, 0, 0, 5], [0, 1, 0, 3, 0, 2, 0, 2, 7, 0], [0, 1, 0, 3, 0, 2, 0, 3, 5, 1], [0, 1, 0, 3, 0, 2, 0, 4, 3, 2], [0, 1, 0, 3, 0, 2, 0, 5, 1, 3], [0, 1, 0, 3, 0, 2, 1, 0, 8, 0], [0, 1, 0, 3, 0, 2, 1, 1, 6, 1], [0, 1, 0, 3, 0, 2, 1, 2, 4, 2], [0, 1, 0, 3, 0, 2, 1, 3, 2, 3], [0, 1, 0, 3, 0, 2, 1, 4, 0, 4], [0, 1, 0, 3, 0, 2, 2, 0, 5, 2], [0, 1, 0, 3, 0, 2, 2, 1, 3, 3], [0, 1, 0, 3, 0, 2, 2, 2, 1, 4], [0, 1, 0, 3, 0, 2, 3, 0, 2, 4], [0, 1, 0, 3, 0, 2, 3, 1, 0, 5], [0, 1, 0, 3, 0, 3, 0, 0, 7, 1], [0, 1, 0, 3, 0, 3, 0, 1, 5, 2], [0, 1, 0, 3, 0, 3, 0, 2, 3, 3], [0, 1, 0, 3, 0, 3, 0, 3, 1, 4], [0, 1, 0, 3, 0, 3, 1, 0, 4, 3], [0, 1, 0, 3, 0, 3, 1, 1, 2, 4], [0, 1, 0, 3, 0, 3, 1, 2, 0, 5], [0, 1, 0, 3, 0, 3, 2, 0, 1, 5], [0, 1, 0, 3, 0, 4, 0, 0, 3, 4], [0, 1, 0, 3, 0, 4, 0, 1, 1, 5], [0, 1, 0, 3, 0, 4, 1, 0, 0, 6], [0, 1, 0, 3, 1, 0, 0, 4, 6, 0], [0, 1, 0, 3, 1, 0, 0, 5, 4, 1], [0, 1, 0, 3, 1, 0, 0, 6, 2, 2], [0, 1, 0, 3, 1, 0, 0, 7, 0, 3], [0, 1, 0, 3, 1, 0, 1, 2, 7, 0], [0, 1, 0, 3, 1, 0, 1, 3, 5, 1], [0, 1, 0, 3, 1, 0, 1, 4, 3, 2], [0, 1, 0, 3, 1, 0, 1, 5, 1, 3], [0, 1, 0, 3, 1, 0, 2, 0, 8, 0], [0, 1, 0, 3, 1, 0, 2, 1, 6, 1], [0, 1, 0, 3, 1, 0, 2, 2, 4, 2], [0, 1, 0, 3, 1, 0, 2, 3, 2, 3], [0, 1, 0, 3, 1, 0, 2, 4, 0, 4], [0, 1, 0, 3, 1, 0, 3, 0, 5, 2], [0, 1, 0, 3, 1, 0, 3, 1, 3, 3], [0, 1, 0, 3, 1, 0, 3, 2, 1, 4], [0, 1, 0, 3, 1, 0, 4, 0, 2, 4], [0, 1, 0, 3, 1, 0, 4, 1, 0, 5], [0, 1, 0, 3, 1, 1, 0, 1, 8, 0], [0, 1, 0, 3, 1, 1, 0, 2, 6, 1], [0, 1, 0, 3, 1, 1, 0, 3, 4, 2], [0, 1, 0, 3, 1, 1, 0, 4, 2, 3], [0, 1, 0, 3, 1, 1, 0, 5, 0, 4], [0, 1, 0, 3, 1, 1, 1, 0, 7, 1], [0, 1, 0, 3, 1, 1, 1, 1, 5, 2], [0, 1, 0, 3, 1, 1, 1, 2, 3, 3], [0, 1, 0, 3, 1, 1, 1, 3, 1, 4], [0, 1, 0, 3, 1, 1, 2, 0, 4, 3], [0, 1, 0, 3, 1, 1, 2, 1, 2, 4], [0, 1, 0, 3, 1, 1, 2, 2, 0, 5], [0, 1, 0, 3, 1, 1, 3, 0, 1, 5], [0, 1, 0, 3, 1, 2, 0, 0, 6, 2], [0, 1, 0, 3, 1, 2, 0, 1, 4, 3], [0, 1, 0, 3, 1, 2, 0, 2, 2, 4], [0, 1, 0, 3, 1, 2, 0, 3, 0, 5], [0, 1, 0, 3, 1, 2, 1, 0, 3, 4], [0, 1, 0, 3, 1, 2, 1, 1, 1, 5], [0, 1, 0, 3, 1, 2, 2, 0, 0, 6], [0, 1, 0, 3, 1, 3, 0, 0, 2, 5], [0, 1, 0, 3, 1, 3, 0, 1, 0, 6], [0, 1, 0, 3, 2, 0, 0, 0, 9, 0], [0, 1, 0, 3, 2, 0, 0, 1, 7, 1], [0, 1, 0, 3, 2, 0, 0, 2, 5, 2], [0, 1, 0, 3, 2, 0, 0, 3, 3, 3], [0, 1, 0, 3, 2, 0, 0, 4, 1, 4], [0, 1, 0, 3, 2, 0, 1, 0, 6, 2], [0, 1, 0, 3, 2, 0, 1, 1, 4, 3], [0, 1, 0, 3, 2, 0, 1, 2, 2, 4], [0, 1, 0, 3, 2, 0, 1, 3, 0, 5], [0, 1, 0, 3, 2, 0, 2, 0, 3, 4], [0, 1, 0, 3, 2, 0, 2, 1, 1, 5], [0, 1, 0, 3, 2, 0, 3, 0, 0, 6], [0, 1, 0, 3, 2, 1, 0, 0, 5, 3], [0, 1, 0, 3, 2, 1, 0, 1, 3, 4], [0, 1, 0, 3, 2, 1, 0, 2, 1, 5], [0, 1, 0, 3, 2, 1, 1, 0, 2, 5], [0, 1, 0, 3, 2, 1, 1, 1, 0, 6], [0, 1, 0, 3, 2, 2, 0, 0, 1, 6], [0, 1, 0, 3, 3, 0, 0, 0, 4, 4], [0, 1, 0, 3, 3, 0, 0, 1, 2, 5], [0, 1, 0, 3, 3, 0, 0, 2, 0, 6], [0, 1, 0, 3, 3, 0, 1, 0, 1, 6], [0, 1, 0, 3, 3, 1, 0, 0, 0, 7], [0, 1, 0, 4, 0, 0, 0, 3, 7, 0], [0, 1, 0, 4, 0, 0, 0, 4, 5, 1], [0, 1, 0, 4, 0, 0, 0, 5, 3, 2], [0, 1, 0, 4, 0, 0, 0, 6, 1, 3], [0, 1, 0, 4, 0, 0, 1, 1, 8, 0], [0, 1, 0, 4, 0, 0, 1, 2, 6, 1], [0, 1, 0, 4, 0, 0, 1, 3, 4, 2], [0, 1, 0, 4, 0, 0, 1, 4, 2, 3], [0, 1, 0, 4, 0, 0, 1, 5, 0, 4], [0, 1, 0, 4, 0, 0, 2, 0, 7, 1], [0, 1, 0, 4, 0, 0, 2, 1, 5, 2], [0, 1, 0, 4, 0, 0, 2, 2, 3, 3], [0, 1, 0, 4, 0, 0, 2, 3, 1, 4], [0, 1, 0, 4, 0, 0, 3, 0, 4, 3], [0, 1, 0, 4, 0, 0, 3, 1, 2, 4], [0, 1, 0, 4, 0, 0, 3, 2, 0, 5], [0, 1, 0, 4, 0, 0, 4, 0, 1, 5], [0, 1, 0, 4, 0, 1, 0, 0, 9, 0], [0, 1, 0, 4, 0, 1, 0, 1, 7, 1], [0, 1, 0, 4, 0, 1, 0, 2, 5, 2], [0, 1, 0, 4, 0, 1, 0, 3, 3, 3], [0, 1, 0, 4, 0, 1, 0, 4, 1, 4], [0, 1, 0, 4, 0, 1, 1, 0, 6, 2], [0, 1, 0, 4, 0, 1, 1, 1, 4, 3], [0, 1, 0, 4, 0, 1, 1, 2, 2, 4], [0, 1, 0, 4, 0, 1, 1, 3, 0, 5], [0, 1, 0, 4, 0, 1, 2, 0, 3, 4], [0, 1, 0, 4, 0, 1, 2, 1, 1, 5], [0, 1, 0, 4, 0, 1, 3, 0, 0, 6], [0, 1, 0, 4, 0, 2, 0, 0, 5, 3], [0, 1, 0, 4, 0, 2, 0, 1, 3, 4], [0, 1, 0, 4, 0, 2, 0, 2, 1, 5], [0, 1, 0, 4, 0, 2, 1, 0, 2, 5], [0, 1, 0, 4, 0, 2, 1, 1, 0, 6], [0, 1, 0, 4, 0, 3, 0, 0, 1, 6], [0, 1, 0, 4, 1, 0, 0, 0, 8, 1], [0, 1, 0, 4, 1, 0, 0, 1, 6, 2], [0, 1, 0, 4, 1, 0, 0, 2, 4, 3], [0, 1, 0, 4, 1, 0, 0, 3, 2, 4], [0, 1, 0, 4, 1, 0, 0, 4, 0, 5], [0, 1, 0, 4, 1, 0, 1, 0, 5, 3], [0, 1, 0, 4, 1, 0, 1, 1, 3, 4], [0, 1, 0, 4, 1, 0, 1, 2, 1, 5], [0, 1, 0, 4, 1, 0, 2, 0, 2, 5], [0, 1, 0, 4, 1, 0, 2, 1, 0, 6], [0, 1, 0, 4, 1, 1, 0, 0, 4, 4], [0, 1, 0, 4, 1, 1, 0, 1, 2, 5], [0, 1, 0, 4, 1, 1, 0, 2, 0, 6], [0, 1, 0, 4, 1, 1, 1, 0, 1, 6], [0, 1, 0, 4, 1, 2, 0, 0, 0, 7], [0, 1, 0, 4, 2, 0, 0, 0, 3, 5], [0, 1, 0, 4, 2, 0, 0, 1, 1, 6], [0, 1, 0, 4, 2, 0, 1, 0, 0, 7], [0, 1, 0, 5, 0, 0, 0, 0, 7, 2], [0, 1, 0, 5, 0, 0, 0, 1, 5, 3], [0, 1, 0, 5, 0, 0, 0, 2, 3, 4], [0, 1, 0, 5, 0, 0, 0, 3, 1, 5], [0, 1, 0, 5, 0, 0, 1, 0, 4, 4], [0, 1, 0, 5, 0, 0, 1, 1, 2, 5], [0, 1, 0, 5, 0, 0, 1, 2, 0, 6], [0, 1, 0, 5, 0, 0, 2, 0, 1, 6], [0, 1, 0, 5, 0, 1, 0, 0, 3, 5], [0, 1, 0, 5, 0, 1, 0, 1, 1, 6], [0, 1, 0, 5, 0, 1, 1, 0, 0, 7], [0, 1, 0, 5, 1, 0, 0, 0, 2, 6], [0, 1, 0, 5, 1, 0, 0, 1, 0, 7], [0, 1, 0, 6, 0, 0, 0, 0, 1, 7], [0, 1, 1, 0, 0, 0, 4, 9, 0, 0], [0, 1, 1, 0, 0, 0, 5, 7, 1, 0], [0, 1, 1, 0, 0, 0, 6, 5, 2, 0], [0, 1, 1, 0, 0, 0, 6, 6, 0, 1], [0, 1, 1, 0, 0, 0, 7, 3, 3, 0], [0, 1, 1, 0, 0, 0, 7, 4, 1, 1], [0, 1, 1, 0, 0, 0, 8, 1, 4, 0], [0, 1, 1, 0, 0, 0, 8, 2, 2, 1], [0, 1, 1, 0, 0, 0, 8, 3, 0, 2], [0, 1, 1, 0, 0, 0, 9, 0, 3, 1], [0, 1, 1, 0, 0, 0, 9, 1, 1, 2], [0, 1, 1, 0, 0, 0, 10, 0, 0, 3], [0, 1, 1, 0, 0, 1, 2, 10, 0, 0], [0, 1, 1, 0, 0, 1, 3, 8, 1, 0], [0, 1, 1, 0, 0, 1, 4, 6, 2, 0], [0, 1, 1, 0, 0, 1, 4, 7, 0, 1], [0, 1, 1, 0, 0, 1, 5, 4, 3, 0], [0, 1, 1, 0, 0, 1, 5, 5, 1, 1], [0, 1, 1, 0, 0, 1, 6, 2, 4, 0], [0, 1, 1, 0, 0, 1, 6, 3, 2, 1], [0, 1, 1, 0, 0, 1, 6, 4, 0, 2], [0, 1, 1, 0, 0, 1, 7, 0, 5, 0], [0, 1, 1, 0, 0, 1, 7, 1, 3, 1], [0, 1, 1, 0, 0, 1, 7, 2, 1, 2], [0, 1, 1, 0, 0, 1, 8, 0, 2, 2], [0, 1, 1, 0, 0, 1, 8, 1, 0, 3], [0, 1, 1, 0, 0, 2, 0, 11, 0, 0], [0, 1, 1, 0, 0, 2, 1, 9, 1, 0], [0, 1, 1, 0, 0, 2, 2, 7, 2, 0], [0, 1, 1, 0, 0, 2, 2, 8, 0, 1], [0, 1, 1, 0, 0, 2, 3, 5, 3, 0], [0, 1, 1, 0, 0, 2, 3, 6, 1, 1], [0, 1, 1, 0, 0, 2, 4, 3, 4, 0], [0, 1, 1, 0, 0, 2, 4, 4, 2, 1], [0, 1, 1, 0, 0, 2, 4, 5, 0, 2], [0, 1, 1, 0, 0, 2, 5, 1, 5, 0], [0, 1, 1, 0, 0, 2, 5, 2, 3, 1], [0, 1, 1, 0, 0, 2, 5, 3, 1, 2], [0, 1, 1, 0, 0, 2, 6, 0, 4, 1], [0, 1, 1, 0, 0, 2, 6, 1, 2, 2], [0, 1, 1, 0, 0, 2, 6, 2, 0, 3], [0, 1, 1, 0, 0, 2, 7, 0, 1, 3], [0, 1, 1, 0, 0, 3, 0, 8, 2, 0], [0, 1, 1, 0, 0, 3, 0, 9, 0, 1], [0, 1, 1, 0, 0, 3, 1, 6, 3, 0], [0, 1, 1, 0, 0, 3, 1, 7, 1, 1], [0, 1, 1, 0, 0, 3, 2, 4, 4, 0], [0, 1, 1, 0, 0, 3, 2, 5, 2, 1], [0, 1, 1, 0, 0, 3, 2, 6, 0, 2], [0, 1, 1, 0, 0, 3, 3, 2, 5, 0], [0, 1, 1, 0, 0, 3, 3, 3, 3, 1], [0, 1, 1, 0, 0, 3, 3, 4, 1, 2], [0, 1, 1, 0, 0, 3, 4, 0, 6, 0], [0, 1, 1, 0, 0, 3, 4, 1, 4, 1], [0, 1, 1, 0, 0, 3, 4, 2, 2, 2], [0, 1, 1, 0, 0, 3, 4, 3, 0, 3], [0, 1, 1, 0, 0, 3, 5, 0, 3, 2], [0, 1, 1, 0, 0, 3, 5, 1, 1, 3], [0, 1, 1, 0, 0, 3, 6, 0, 0, 4], [0, 1, 1, 0, 0, 4, 0, 5, 4, 0], [0, 1, 1, 0, 0, 4, 0, 6, 2, 1], [0, 1, 1, 0, 0, 4, 0, 7, 0, 2], [0, 1, 1, 0, 0, 4, 1, 3, 5, 0], [0, 1, 1, 0, 0, 4, 1, 4, 3, 1], [0, 1, 1, 0, 0, 4, 1, 5, 1, 2], [0, 1, 1, 0, 0, 4, 2, 1, 6, 0], [0, 1, 1, 0, 0, 4, 2, 2, 4, 1], [0, 1, 1, 0, 0, 4, 2, 3, 2, 2], [0, 1, 1, 0, 0, 4, 2, 4, 0, 3], [0, 1, 1, 0, 0, 4, 3, 0, 5, 1], [0, 1, 1, 0, 0, 4, 3, 1, 3, 2], [0, 1, 1, 0, 0, 4, 3, 2, 1, 3], [0, 1, 1, 0, 0, 4, 4, 0, 2, 3], [0, 1, 1, 0, 0, 4, 4, 1, 0, 4], [0, 1, 1, 0, 0, 5, 0, 2, 6, 0], [0, 1, 1, 0, 0, 5, 0, 3, 4, 1], [0, 1, 1, 0, 0, 5, 0, 4, 2, 2], [0, 1, 1, 0, 0, 5, 0, 5, 0, 3], [0, 1, 1, 0, 0, 5, 1, 0, 7, 0], [0, 1, 1, 0, 0, 5, 1, 1, 5, 1], [0, 1, 1, 0, 0, 5, 1, 2, 3, 2], [0, 1, 1, 0, 0, 5, 1, 3, 1, 3], [0, 1, 1, 0, 0, 5, 2, 0, 4, 2], [0, 1, 1, 0, 0, 5, 2, 1, 2, 3], [0, 1, 1, 0, 0, 5, 2, 2, 0, 4], [0, 1, 1, 0, 0, 5, 3, 0, 1, 4], [0, 1, 1, 0, 0, 6, 0, 0, 6, 1], [0, 1, 1, 0, 0, 6, 0, 1, 4, 2], [0, 1, 1, 0, 0, 6, 0, 2, 2, 3], [0, 1, 1, 0, 0, 6, 0, 3, 0, 4], [0, 1, 1, 0, 0, 6, 1, 0, 3, 3], [0, 1, 1, 0, 0, 6, 1, 1, 1, 4], [0, 1, 1, 0, 0, 6, 2, 0, 0, 5], [0, 1, 1, 0, 0, 7, 0, 0, 2, 4], [0, 1, 1, 0, 0, 7, 0, 1, 0, 5], [0, 1, 1, 0, 1, 0, 1, 11, 0, 0], [0, 1, 1, 0, 1, 0, 2, 9, 1, 0], [0, 1, 1, 0, 1, 0, 3, 7, 2, 0], [0, 1, 1, 0, 1, 0, 3, 8, 0, 1], [0, 1, 1, 0, 1, 0, 4, 5, 3, 0], [0, 1, 1, 0, 1, 0, 4, 6, 1, 1], [0, 1, 1, 0, 1, 0, 5, 3, 4, 0], [0, 1, 1, 0, 1, 0, 5, 4, 2, 1], [0, 1, 1, 0, 1, 0, 5, 5, 0, 2], [0, 1, 1, 0, 1, 0, 6, 1, 5, 0], [0, 1, 1, 0, 1, 0, 6, 2, 3, 1], [0, 1, 1, 0, 1, 0, 6, 3, 1, 2], [0, 1, 1, 0, 1, 0, 7, 0, 4, 1], [0, 1, 1, 0, 1, 0, 7, 1, 2, 2], [0, 1, 1, 0, 1, 0, 7, 2, 0, 3], [0, 1, 1, 0, 1, 0, 8, 0, 1, 3], [0, 1, 1, 0, 1, 1, 0, 10, 1, 0], [0, 1, 1, 0, 1, 1, 1, 8, 2, 0], [0, 1, 1, 0, 1, 1, 1, 9, 0, 1], [0, 1, 1, 0, 1, 1, 2, 6, 3, 0], [0, 1, 1, 0, 1, 1, 2, 7, 1, 1], [0, 1, 1, 0, 1, 1, 3, 4, 4, 0], [0, 1, 1, 0, 1, 1, 3, 5, 2, 1], [0, 1, 1, 0, 1, 1, 3, 6, 0, 2], [0, 1, 1, 0, 1, 1, 4, 2, 5, 0], [0, 1, 1, 0, 1, 1, 4, 3, 3, 1], [0, 1, 1, 0, 1, 1, 4, 4, 1, 2], [0, 1, 1, 0, 1, 1, 5, 0, 6, 0], [0, 1, 1, 0, 1, 1, 5, 1, 4, 1], [0, 1, 1, 0, 1, 1, 5, 2, 2, 2], [0, 1, 1, 0, 1, 1, 5, 3, 0, 3], [0, 1, 1, 0, 1, 1, 6, 0, 3, 2], [0, 1, 1, 0, 1, 1, 6, 1, 1, 3], [0, 1, 1, 0, 1, 1, 7, 0, 0, 4], [0, 1, 1, 0, 1, 2, 0, 7, 3, 0], [0, 1, 1, 0, 1, 2, 0, 8, 1, 1], [0, 1, 1, 0, 1, 2, 1, 5, 4, 0], [0, 1, 1, 0, 1, 2, 1, 6, 2, 1], [0, 1, 1, 0, 1, 2, 1, 7, 0, 2], [0, 1, 1, 0, 1, 2, 2, 3, 5, 0], [0, 1, 1, 0, 1, 2, 2, 4, 3, 1], [0, 1, 1, 0, 1, 2, 2, 5, 1, 2], [0, 1, 1, 0, 1, 2, 3, 1, 6, 0], [0, 1, 1, 0, 1, 2, 3, 2, 4, 1], [0, 1, 1, 0, 1, 2, 3, 3, 2, 2], [0, 1, 1, 0, 1, 2, 3, 4, 0, 3], [0, 1, 1, 0, 1, 2, 4, 0, 5, 1], [0, 1, 1, 0, 1, 2, 4, 1, 3, 2], [0, 1, 1, 0, 1, 2, 4, 2, 1, 3], [0, 1, 1, 0, 1, 2, 5, 0, 2, 3], [0, 1, 1, 0, 1, 2, 5, 1, 0, 4], [0, 1, 1, 0, 1, 3, 0, 4, 5, 0], [0, 1, 1, 0, 1, 3, 0, 5, 3, 1], [0, 1, 1, 0, 1, 3, 0, 6, 1, 2], [0, 1, 1, 0, 1, 3, 1, 2, 6, 0], [0, 1, 1, 0, 1, 3, 1, 3, 4, 1], [0, 1, 1, 0, 1, 3, 1, 4, 2, 2], [0, 1, 1, 0, 1, 3, 1, 5, 0, 3], [0, 1, 1, 0, 1, 3, 2, 0, 7, 0], [0, 1, 1, 0, 1, 3, 2, 1, 5, 1], [0, 1, 1, 0, 1, 3, 2, 2, 3, 2], [0, 1, 1, 0, 1, 3, 2, 3, 1, 3], [0, 1, 1, 0, 1, 3, 3, 0, 4, 2], [0, 1, 1, 0, 1, 3, 3, 1, 2, 3], [0, 1, 1, 0, 1, 3, 3, 2, 0, 4], [0, 1, 1, 0, 1, 3, 4, 0, 1, 4], [0, 1, 1, 0, 1, 4, 0, 1, 7, 0], [0, 1, 1, 0, 1, 4, 0, 2, 5, 1], [0, 1, 1, 0, 1, 4, 0, 3, 3, 2], [0, 1, 1, 0, 1, 4, 0, 4, 1, 3], [0, 1, 1, 0, 1, 4, 1, 0, 6, 1], [0, 1, 1, 0, 1, 4, 1, 1, 4, 2], [0, 1, 1, 0, 1, 4, 1, 2, 2, 3], [0, 1, 1, 0, 1, 4, 1, 3, 0, 4], [0, 1, 1, 0, 1, 4, 2, 0, 3, 3], [0, 1, 1, 0, 1, 4, 2, 1, 1, 4], [0, 1, 1, 0, 1, 4, 3, 0, 0, 5], [0, 1, 1, 0, 1, 5, 0, 0, 5, 2], [0, 1, 1, 0, 1, 5, 0, 1, 3, 3], [0, 1, 1, 0, 1, 5, 0, 2, 1, 4], [0, 1, 1, 0, 1, 5, 1, 0, 2, 4], [0, 1, 1, 0, 1, 5, 1, 1, 0, 5], [0, 1, 1, 0, 1, 6, 0, 0, 1, 5], [0, 1, 1, 0, 2, 0, 0, 9, 2, 0], [0, 1, 1, 0, 2, 0, 0, 10, 0, 1], [0, 1, 1, 0, 2, 0, 1, 7, 3, 0], [0, 1, 1, 0, 2, 0, 1, 8, 1, 1], [0, 1, 1, 0, 2, 0, 2, 5, 4, 0], [0, 1, 1, 0, 2, 0, 2, 6, 2, 1], [0, 1, 1, 0, 2, 0, 2, 7, 0, 2], [0, 1, 1, 0, 2, 0, 3, 3, 5, 0], [0, 1, 1, 0, 2, 0, 3, 4, 3, 1], [0, 1, 1, 0, 2, 0, 3, 5, 1, 2], [0, 1, 1, 0, 2, 0, 4, 1, 6, 0], [0, 1, 1, 0, 2, 0, 4, 2, 4, 1], [0, 1, 1, 0, 2, 0, 4, 3, 2, 2], [0, 1, 1, 0, 2, 0, 4, 4, 0, 3], [0, 1, 1, 0, 2, 0, 5, 0, 5, 1], [0, 1, 1, 0, 2, 0, 5, 1, 3, 2], [0, 1, 1, 0, 2, 0, 5, 2, 1, 3], [0, 1, 1, 0, 2, 0, 6, 0, 2, 3], [0, 1, 1, 0, 2, 0, 6, 1, 0, 4], [0, 1, 1, 0, 2, 1, 0, 6, 4, 0], [0, 1, 1, 0, 2, 1, 0, 7, 2, 1], [0, 1, 1, 0, 2, 1, 0, 8, 0, 2], [0, 1, 1, 0, 2, 1, 1, 4, 5, 0], [0, 1, 1, 0, 2, 1, 1, 5, 3, 1], [0, 1, 1, 0, 2, 1, 1, 6, 1, 2], [0, 1, 1, 0, 2, 1, 2, 2, 6, 0], [0, 1, 1, 0, 2, 1, 2, 3, 4, 1], [0, 1, 1, 0, 2, 1, 2, 4, 2, 2], [0, 1, 1, 0, 2, 1, 2, 5, 0, 3], [0, 1, 1, 0, 2, 1, 3, 0, 7, 0], [0, 1, 1, 0, 2, 1, 3, 1, 5, 1], [0, 1, 1, 0, 2, 1, 3, 2, 3, 2], [0, 1, 1, 0, 2, 1, 3, 3, 1, 3], [0, 1, 1, 0, 2, 1, 4, 0, 4, 2], [0, 1, 1, 0, 2, 1, 4, 1, 2, 3], [0, 1, 1, 0, 2, 1, 4, 2, 0, 4], [0, 1, 1, 0, 2, 1, 5, 0, 1, 4], [0, 1, 1, 0, 2, 2, 0, 3, 6, 0], [0, 1, 1, 0, 2, 2, 0, 4, 4, 1], [0, 1, 1, 0, 2, 2, 0, 5, 2, 2], [0, 1, 1, 0, 2, 2, 0, 6, 0, 3], [0, 1, 1, 0, 2, 2, 1, 1, 7, 0], [0, 1, 1, 0, 2, 2, 1, 2, 5, 1], [0, 1, 1, 0, 2, 2, 1, 3, 3, 2], [0, 1, 1, 0, 2, 2, 1, 4, 1, 3], [0, 1, 1, 0, 2, 2, 2, 0, 6, 1], [0, 1, 1, 0, 2, 2, 2, 1, 4, 2], [0, 1, 1, 0, 2, 2, 2, 2, 2, 3], [0, 1, 1, 0, 2, 2, 2, 3, 0, 4], [0, 1, 1, 0, 2, 2, 3, 0, 3, 3], [0, 1, 1, 0, 2, 2, 3, 1, 1, 4], [0, 1, 1, 0, 2, 2, 4, 0, 0, 5], [0, 1, 1, 0, 2, 3, 0, 0, 8, 0], [0, 1, 1, 0, 2, 3, 0, 1, 6, 1], [0, 1, 1, 0, 2, 3, 0, 2, 4, 2], [0, 1, 1, 0, 2, 3, 0, 3, 2, 3], [0, 1, 1, 0, 2, 3, 0, 4, 0, 4], [0, 1, 1, 0, 2, 3, 1, 0, 5, 2], [0, 1, 1, 0, 2, 3, 1, 1, 3, 3], [0, 1, 1, 0, 2, 3, 1, 2, 1, 4], [0, 1, 1, 0, 2, 3, 2, 0, 2, 4], [0, 1, 1, 0, 2, 3, 2, 1, 0, 5], [0, 1, 1, 0, 2, 4, 0, 0, 4, 3], [0, 1, 1, 0, 2, 4, 0, 1, 2, 4], [0, 1, 1, 0, 2, 4, 0, 2, 0, 5], [0, 1, 1, 0, 2, 4, 1, 0, 1, 5], [0, 1, 1, 0, 2, 5, 0, 0, 0, 6], [0, 1, 1, 0, 3, 0, 0, 5, 5, 0], [0, 1, 1, 0, 3, 0, 0, 6, 3, 1], [0, 1, 1, 0, 3, 0, 0, 7, 1, 2], [0, 1, 1, 0, 3, 0, 1, 3, 6, 0], [0, 1, 1, 0, 3, 0, 1, 4, 4, 1], [0, 1, 1, 0, 3, 0, 1, 5, 2, 2], [0, 1, 1, 0, 3, 0, 1, 6, 0, 3], [0, 1, 1, 0, 3, 0, 2, 1, 7, 0], [0, 1, 1, 0, 3, 0, 2, 2, 5, 1], [0, 1, 1, 0, 3, 0, 2, 3, 3, 2], [0, 1, 1, 0, 3, 0, 2, 4, 1, 3], [0, 1, 1, 0, 3, 0, 3, 0, 6, 1], [0, 1, 1, 0, 3, 0, 3, 1, 4, 2], [0, 1, 1, 0, 3, 0, 3, 2, 2, 3], [0, 1, 1, 0, 3, 0, 3, 3, 0, 4], [0, 1, 1, 0, 3, 0, 4, 0, 3, 3], [0, 1, 1, 0, 3, 0, 4, 1, 1, 4], [0, 1, 1, 0, 3, 0, 5, 0, 0, 5], [0, 1, 1, 0, 3, 1, 0, 2, 7, 0], [0, 1, 1, 0, 3, 1, 0, 3, 5, 1], [0, 1, 1, 0, 3, 1, 0, 4, 3, 2], [0, 1, 1, 0, 3, 1, 0, 5, 1, 3], [0, 1, 1, 0, 3, 1, 1, 0, 8, 0], [0, 1, 1, 0, 3, 1, 1, 1, 6, 1], [0, 1, 1, 0, 3, 1, 1, 2, 4, 2], [0, 1, 1, 0, 3, 1, 1, 3, 2, 3], [0, 1, 1, 0, 3, 1, 1, 4, 0, 4], [0, 1, 1, 0, 3, 1, 2, 0, 5, 2], [0, 1, 1, 0, 3, 1, 2, 1, 3, 3], [0, 1, 1, 0, 3, 1, 2, 2, 1, 4], [0, 1, 1, 0, 3, 1, 3, 0, 2, 4], [0, 1, 1, 0, 3, 1, 3, 1, 0, 5], [0, 1, 1, 0, 3, 2, 0, 0, 7, 1], [0, 1, 1, 0, 3, 2, 0, 1, 5, 2], [0, 1, 1, 0, 3, 2, 0, 2, 3, 3], [0, 1, 1, 0, 3, 2, 0, 3, 1, 4], [0, 1, 1, 0, 3, 2, 1, 0, 4, 3], [0, 1, 1, 0, 3, 2, 1, 1, 2, 4], [0, 1, 1, 0, 3, 2, 1, 2, 0, 5], [0, 1, 1, 0, 3, 2, 2, 0, 1, 5], [0, 1, 1, 0, 3, 3, 0, 0, 3, 4], [0, 1, 1, 0, 3, 3, 0, 1, 1, 5], [0, 1, 1, 0, 3, 3, 1, 0, 0, 6], [0, 1, 1, 0, 4, 0, 0, 1, 8, 0], [0, 1, 1, 0, 4, 0, 0, 2, 6, 1], [0, 1, 1, 0, 4, 0, 0, 3, 4, 2], [0, 1, 1, 0, 4, 0, 0, 4, 2, 3], [0, 1, 1, 0, 4, 0, 0, 5, 0, 4], [0, 1, 1, 0, 4, 0, 1, 0, 7, 1], [0, 1, 1, 0, 4, 0, 1, 1, 5, 2], [0, 1, 1, 0, 4, 0, 1, 2, 3, 3], [0, 1, 1, 0, 4, 0, 1, 3, 1, 4], [0, 1, 1, 0, 4, 0, 2, 0, 4, 3], [0, 1, 1, 0, 4, 0, 2, 1, 2, 4], [0, 1, 1, 0, 4, 0, 2, 2, 0, 5], [0, 1, 1, 0, 4, 0, 3, 0, 1, 5], [0, 1, 1, 0, 4, 1, 0, 0, 6, 2], [0, 1, 1, 0, 4, 1, 0, 1, 4, 3], [0, 1, 1, 0, 4, 1, 0, 2, 2, 4], [0, 1, 1, 0, 4, 1, 0, 3, 0, 5], [0, 1, 1, 0, 4, 1, 1, 0, 3, 4], [0, 1, 1, 0, 4, 1, 1, 1, 1, 5], [0, 1, 1, 0, 4, 1, 2, 0, 0, 6], [0, 1, 1, 0, 4, 2, 0, 0, 2, 5], [0, 1, 1, 0, 4, 2, 0, 1, 0, 6], [0, 1, 1, 0, 5, 0, 0, 0, 5, 3], [0, 1, 1, 0, 5, 0, 0, 1, 3, 4], [0, 1, 1, 0, 5, 0, 0, 2, 1, 5], [0, 1, 1, 0, 5, 0, 1, 0, 2, 5], [0, 1, 1, 0, 5, 0, 1, 1, 0, 6], [0, 1, 1, 0, 5, 1, 0, 0, 1, 6], [0, 1, 1, 0, 6, 0, 0, 0, 0, 7], [0, 1, 1, 1, 0, 0, 0, 12, 0, 0], [0, 1, 1, 1, 0, 0, 1, 10, 1, 0], [0, 1, 1, 1, 0, 0, 2, 8, 2, 0], [0, 1, 1, 1, 0, 0, 2, 9, 0, 1], [0, 1, 1, 1, 0, 0, 3, 6, 3, 0], [0, 1, 1, 1, 0, 0, 3, 7, 1, 1], [0, 1, 1, 1, 0, 0, 4, 4, 4, 0], [0, 1, 1, 1, 0, 0, 4, 5, 2, 1], [0, 1, 1, 1, 0, 0, 4, 6, 0, 2], [0, 1, 1, 1, 0, 0, 5, 2, 5, 0], [0, 1, 1, 1, 0, 0, 5, 3, 3, 1], [0, 1, 1, 1, 0, 0, 5, 4, 1, 2], [0, 1, 1, 1, 0, 0, 6, 0, 6, 0], [0, 1, 1, 1, 0, 0, 6, 1, 4, 1], [0, 1, 1, 1, 0, 0, 6, 2, 2, 2], [0, 1, 1, 1, 0, 0, 6, 3, 0, 3], [0, 1, 1, 1, 0, 0, 7, 0, 3, 2], [0, 1, 1, 1, 0, 0, 7, 1, 1, 3], [0, 1, 1, 1, 0, 0, 8, 0, 0, 4], [0, 1, 1, 1, 0, 1, 0, 9, 2, 0], [0, 1, 1, 1, 0, 1, 0, 10, 0, 1], [0, 1, 1, 1, 0, 1, 1, 7, 3, 0], [0, 1, 1, 1, 0, 1, 1, 8, 1, 1], [0, 1, 1, 1, 0, 1, 2, 5, 4, 0], [0, 1, 1, 1, 0, 1, 2, 6, 2, 1], [0, 1, 1, 1, 0, 1, 2, 7, 0, 2], [0, 1, 1, 1, 0, 1, 3, 3, 5, 0], [0, 1, 1, 1, 0, 1, 3, 4, 3, 1], [0, 1, 1, 1, 0, 1, 3, 5, 1, 2], [0, 1, 1, 1, 0, 1, 4, 1, 6, 0], [0, 1, 1, 1, 0, 1, 4, 2, 4, 1], [0, 1, 1, 1, 0, 1, 4, 3, 2, 2], [0, 1, 1, 1, 0, 1, 4, 4, 0, 3], [0, 1, 1, 1, 0, 1, 5, 0, 5, 1], [0, 1, 1, 1, 0, 1, 5, 1, 3, 2], [0, 1, 1, 1, 0, 1, 5, 2, 1, 3], [0, 1, 1, 1, 0, 1, 6, 0, 2, 3], [0, 1, 1, 1, 0, 1, 6, 1, 0, 4], [0, 1, 1, 1, 0, 2, 0, 6, 4, 0], [0, 1, 1, 1, 0, 2, 0, 7, 2, 1], [0, 1, 1, 1, 0, 2, 0, 8, 0, 2], [0, 1, 1, 1, 0, 2, 1, 4, 5, 0], [0, 1, 1, 1, 0, 2, 1, 5, 3, 1], [0, 1, 1, 1, 0, 2, 1, 6, 1, 2], [0, 1, 1, 1, 0, 2, 2, 2, 6, 0], [0, 1, 1, 1, 0, 2, 2, 3, 4, 1], [0, 1, 1, 1, 0, 2, 2, 4, 2, 2], [0, 1, 1, 1, 0, 2, 2, 5, 0, 3], [0, 1, 1, 1, 0, 2, 3, 0, 7, 0], [0, 1, 1, 1, 0, 2, 3, 1, 5, 1], [0, 1, 1, 1, 0, 2, 3, 2, 3, 2], [0, 1, 1, 1, 0, 2, 3, 3, 1, 3], [0, 1, 1, 1, 0, 2, 4, 0, 4, 2], [0, 1, 1, 1, 0, 2, 4, 1, 2, 3], [0, 1, 1, 1, 0, 2, 4, 2, 0, 4], [0, 1, 1, 1, 0, 2, 5, 0, 1, 4], [0, 1, 1, 1, 0, 3, 0, 3, 6, 0], [0, 1, 1, 1, 0, 3, 0, 4, 4, 1], [0, 1, 1, 1, 0, 3, 0, 5, 2, 2], [0, 1, 1, 1, 0, 3, 0, 6, 0, 3], [0, 1, 1, 1, 0, 3, 1, 1, 7, 0], [0, 1, 1, 1, 0, 3, 1, 2, 5, 1], [0, 1, 1, 1, 0, 3, 1, 3, 3, 2], [0, 1, 1, 1, 0, 3, 1, 4, 1, 3], [0, 1, 1, 1, 0, 3, 2, 0, 6, 1], [0, 1, 1, 1, 0, 3, 2, 1, 4, 2], [0, 1, 1, 1, 0, 3, 2, 2, 2, 3], [0, 1, 1, 1, 0, 3, 2, 3, 0, 4], [0, 1, 1, 1, 0, 3, 3, 0, 3, 3], [0, 1, 1, 1, 0, 3, 3, 1, 1, 4], [0, 1, 1, 1, 0, 3, 4, 0, 0, 5], [0, 1, 1, 1, 0, 4, 0, 0, 8, 0], [0, 1, 1, 1, 0, 4, 0, 1, 6, 1], [0, 1, 1, 1, 0, 4, 0, 2, 4, 2], [0, 1, 1, 1, 0, 4, 0, 3, 2, 3], [0, 1, 1, 1, 0, 4, 0, 4, 0, 4], [0, 1, 1, 1, 0, 4, 1, 0, 5, 2], [0, 1, 1, 1, 0, 4, 1, 1, 3, 3], [0, 1, 1, 1, 0, 4, 1, 2, 1, 4], [0, 1, 1, 1, 0, 4, 2, 0, 2, 4], [0, 1, 1, 1, 0, 4, 2, 1, 0, 5], [0, 1, 1, 1, 0, 5, 0, 0, 4, 3], [0, 1, 1, 1, 0, 5, 0, 1, 2, 4], [0, 1, 1, 1, 0, 5, 0, 2, 0, 5], [0, 1, 1, 1, 0, 5, 1, 0, 1, 5], [0, 1, 1, 1, 0, 6, 0, 0, 0, 6], [0, 1, 1, 1, 1, 0, 0, 8, 3, 0], [0, 1, 1, 1, 1, 0, 0, 9, 1, 1], [0, 1, 1, 1, 1, 0, 1, 6, 4, 0], [0, 1, 1, 1, 1, 0, 1, 7, 2, 1], [0, 1, 1, 1, 1, 0, 1, 8, 0, 2], [0, 1, 1, 1, 1, 0, 2, 4, 5, 0], [0, 1, 1, 1, 1, 0, 2, 5, 3, 1], [0, 1, 1, 1, 1, 0, 2, 6, 1, 2], [0, 1, 1, 1, 1, 0, 3, 2, 6, 0], [0, 1, 1, 1, 1, 0, 3, 3, 4, 1], [0, 1, 1, 1, 1, 0, 3, 4, 2, 2], [0, 1, 1, 1, 1, 0, 3, 5, 0, 3], [0, 1, 1, 1, 1, 0, 4, 0, 7, 0], [0, 1, 1, 1, 1, 0, 4, 1, 5, 1], [0, 1, 1, 1, 1, 0, 4, 2, 3, 2], [0, 1, 1, 1, 1, 0, 4, 3, 1, 3], [0, 1, 1, 1, 1, 0, 5, 0, 4, 2], [0, 1, 1, 1, 1, 0, 5, 1, 2, 3], [0, 1, 1, 1, 1, 0, 5, 2, 0, 4], [0, 1, 1, 1, 1, 0, 6, 0, 1, 4], [0, 1, 1, 1, 1, 1, 0, 5, 5, 0], [0, 1, 1, 1, 1, 1, 0, 6, 3, 1], [0, 1, 1, 1, 1, 1, 0, 7, 1, 2], [0, 1, 1, 1, 1, 1, 1, 3, 6, 0], [0, 1, 1, 1, 1, 1, 1, 4, 4, 1], [0, 1, 1, 1, 1, 1, 1, 5, 2, 2], [0, 1, 1, 1, 1, 1, 1, 6, 0, 3], [0, 1, 1, 1, 1, 1, 2, 1, 7, 0], [0, 1, 1, 1, 1, 1, 2, 2, 5, 1], [0, 1, 1, 1, 1, 1, 2, 3, 3, 2], [0, 1, 1, 1, 1, 1, 2, 4, 1, 3], [0, 1, 1, 1, 1, 1, 3, 0, 6, 1], [0, 1, 1, 1, 1, 1, 3, 1, 4, 2], [0, 1, 1, 1, 1, 1, 3, 2, 2, 3], [0, 1, 1, 1, 1, 1, 3, 3, 0, 4], [0, 1, 1, 1, 1, 1, 4, 0, 3, 3], [0, 1, 1, 1, 1, 1, 4, 1, 1, 4], [0, 1, 1, 1, 1, 1, 5, 0, 0, 5], [0, 1, 1, 1, 1, 2, 0, 2, 7, 0], [0, 1, 1, 1, 1, 2, 0, 3, 5, 1], [0, 1, 1, 1, 1, 2, 0, 4, 3, 2], [0, 1, 1, 1, 1, 2, 0, 5, 1, 3], [0, 1, 1, 1, 1, 2, 1, 0, 8, 0], [0, 1, 1, 1, 1, 2, 1, 1, 6, 1], [0, 1, 1, 1, 1, 2, 1, 2, 4, 2], [0, 1, 1, 1, 1, 2, 1, 3, 2, 3], [0, 1, 1, 1, 1, 2, 1, 4, 0, 4], [0, 1, 1, 1, 1, 2, 2, 0, 5, 2], [0, 1, 1, 1, 1, 2, 2, 1, 3, 3], [0, 1, 1, 1, 1, 2, 2, 2, 1, 4], [0, 1, 1, 1, 1, 2, 3, 0, 2, 4], [0, 1, 1, 1, 1, 2, 3, 1, 0, 5], [0, 1, 1, 1, 1, 3, 0, 0, 7, 1], [0, 1, 1, 1, 1, 3, 0, 1, 5, 2], [0, 1, 1, 1, 1, 3, 0, 2, 3, 3], [0, 1, 1, 1, 1, 3, 0, 3, 1, 4], [0, 1, 1, 1, 1, 3, 1, 0, 4, 3], [0, 1, 1, 1, 1, 3, 1, 1, 2, 4], [0, 1, 1, 1, 1, 3, 1, 2, 0, 5], [0, 1, 1, 1, 1, 3, 2, 0, 1, 5], [0, 1, 1, 1, 1, 4, 0, 0, 3, 4], [0, 1, 1, 1, 1, 4, 0, 1, 1, 5], [0, 1, 1, 1, 1, 4, 1, 0, 0, 6], [0, 1, 1, 1, 2, 0, 0, 4, 6, 0], [0, 1, 1, 1, 2, 0, 0, 5, 4, 1], [0, 1, 1, 1, 2, 0, 0, 6, 2, 2], [0, 1, 1, 1, 2, 0, 0, 7, 0, 3], [0, 1, 1, 1, 2, 0, 1, 2, 7, 0], [0, 1, 1, 1, 2, 0, 1, 3, 5, 1], [0, 1, 1, 1, 2, 0, 1, 4, 3, 2], [0, 1, 1, 1, 2, 0, 1, 5, 1, 3], [0, 1, 1, 1, 2, 0, 2, 0, 8, 0], [0, 1, 1, 1, 2, 0, 2, 1, 6, 1], [0, 1, 1, 1, 2, 0, 2, 2, 4, 2], [0, 1, 1, 1, 2, 0, 2, 3, 2, 3], [0, 1, 1, 1, 2, 0, 2, 4, 0, 4], [0, 1, 1, 1, 2, 0, 3, 0, 5, 2], [0, 1, 1, 1, 2, 0, 3, 1, 3, 3], [0, 1, 1, 1, 2, 0, 3, 2, 1, 4], [0, 1, 1, 1, 2, 0, 4, 0, 2, 4], [0, 1, 1, 1, 2, 0, 4, 1, 0, 5], [0, 1, 1, 1, 2, 1, 0, 1, 8, 0], [0, 1, 1, 1, 2, 1, 0, 2, 6, 1], [0, 1, 1, 1, 2, 1, 0, 3, 4, 2], [0, 1, 1, 1, 2, 1, 0, 4, 2, 3], [0, 1, 1, 1, 2, 1, 0, 5, 0, 4], [0, 1, 1, 1, 2, 1, 1, 0, 7, 1], [0, 1, 1, 1, 2, 1, 1, 1, 5, 2], [0, 1, 1, 1, 2, 1, 1, 2, 3, 3], [0, 1, 1, 1, 2, 1, 1, 3, 1, 4], [0, 1, 1, 1, 2, 1, 2, 0, 4, 3], [0, 1, 1, 1, 2, 1, 2, 1, 2, 4], [0, 1, 1, 1, 2, 1, 2, 2, 0, 5], [0, 1, 1, 1, 2, 1, 3, 0, 1, 5], [0, 1, 1, 1, 2, 2, 0, 0, 6, 2], [0, 1, 1, 1, 2, 2, 0, 1, 4, 3], [0, 1, 1, 1, 2, 2, 0, 2, 2, 4], [0, 1, 1, 1, 2, 2, 0, 3, 0, 5], [0, 1, 1, 1, 2, 2, 1, 0, 3, 4], [0, 1, 1, 1, 2, 2, 1, 1, 1, 5], [0, 1, 1, 1, 2, 2, 2, 0, 0, 6], [0, 1, 1, 1, 2, 3, 0, 0, 2, 5], [0, 1, 1, 1, 2, 3, 0, 1, 0, 6], [0, 1, 1, 1, 3, 0, 0, 0, 9, 0], [0, 1, 1, 1, 3, 0, 0, 1, 7, 1], [0, 1, 1, 1, 3, 0, 0, 2, 5, 2], [0, 1, 1, 1, 3, 0, 0, 3, 3, 3], [0, 1, 1, 1, 3, 0, 0, 4, 1, 4], [0, 1, 1, 1, 3, 0, 1, 0, 6, 2], [0, 1, 1, 1, 3, 0, 1, 1, 4, 3], [0, 1, 1, 1, 3, 0, 1, 2, 2, 4], [0, 1, 1, 1, 3, 0, 1, 3, 0, 5], [0, 1, 1, 1, 3, 0, 2, 0, 3, 4], [0, 1, 1, 1, 3, 0, 2, 1, 1, 5], [0, 1, 1, 1, 3, 0, 3, 0, 0, 6], [0, 1, 1, 1, 3, 1, 0, 0, 5, 3], [0, 1, 1, 1, 3, 1, 0, 1, 3, 4], [0, 1, 1, 1, 3, 1, 0, 2, 1, 5], [0, 1, 1, 1, 3, 1, 1, 0, 2, 5], [0, 1, 1, 1, 3, 1, 1, 1, 0, 6], [0, 1, 1, 1, 3, 2, 0, 0, 1, 6], [0, 1, 1, 1, 4, 0, 0, 0, 4, 4], [0, 1, 1, 1, 4, 0, 0, 1, 2, 5], [0, 1, 1, 1, 4, 0, 0, 2, 0, 6], [0, 1, 1, 1, 4, 0, 1, 0, 1, 6], [0, 1, 1, 1, 4, 1, 0, 0, 0, 7], [0, 1, 1, 2, 0, 0, 0, 7, 4, 0], [0, 1, 1, 2, 0, 0, 0, 8, 2, 1], [0, 1, 1, 2, 0, 0, 0, 9, 0, 2], [0, 1, 1, 2, 0, 0, 1, 5, 5, 0], [0, 1, 1, 2, 0, 0, 1, 6, 3, 1], [0, 1, 1, 2, 0, 0, 1, 7, 1, 2], [0, 1, 1, 2, 0, 0, 2, 3, 6, 0], [0, 1, 1, 2, 0, 0, 2, 4, 4, 1], [0, 1, 1, 2, 0, 0, 2, 5, 2, 2], [0, 1, 1, 2, 0, 0, 2, 6, 0, 3], [0, 1, 1, 2, 0, 0, 3, 1, 7, 0], [0, 1, 1, 2, 0, 0, 3, 2, 5, 1], [0, 1, 1, 2, 0, 0, 3, 3, 3, 2], [0, 1, 1, 2, 0, 0, 3, 4, 1, 3], [0, 1, 1, 2, 0, 0, 4, 0, 6, 1], [0, 1, 1, 2, 0, 0, 4, 1, 4, 2], [0, 1, 1, 2, 0, 0, 4, 2, 2, 3], [0, 1, 1, 2, 0, 0, 4, 3, 0, 4], [0, 1, 1, 2, 0, 0, 5, 0, 3, 3], [0, 1, 1, 2, 0, 0, 5, 1, 1, 4], [0, 1, 1, 2, 0, 0, 6, 0, 0, 5], [0, 1, 1, 2, 0, 1, 0, 4, 6, 0], [0, 1, 1, 2, 0, 1, 0, 5, 4, 1], [0, 1, 1, 2, 0, 1, 0, 6, 2, 2], [0, 1, 1, 2, 0, 1, 0, 7, 0, 3], [0, 1, 1, 2, 0, 1, 1, 2, 7, 0], [0, 1, 1, 2, 0, 1, 1, 3, 5, 1], [0, 1, 1, 2, 0, 1, 1, 4, 3, 2], [0, 1, 1, 2, 0, 1, 1, 5, 1, 3], [0, 1, 1, 2, 0, 1, 2, 0, 8, 0], [0, 1, 1, 2, 0, 1, 2, 1, 6, 1], [0, 1, 1, 2, 0, 1, 2, 2, 4, 2], [0, 1, 1, 2, 0, 1, 2, 3, 2, 3], [0, 1, 1, 2, 0, 1, 2, 4, 0, 4], [0, 1, 1, 2, 0, 1, 3, 0, 5, 2], [0, 1, 1, 2, 0, 1, 3, 1, 3, 3], [0, 1, 1, 2, 0, 1, 3, 2, 1, 4], [0, 1, 1, 2, 0, 1, 4, 0, 2, 4], [0, 1, 1, 2, 0, 1, 4, 1, 0, 5], [0, 1, 1, 2, 0, 2, 0, 1, 8, 0], [0, 1, 1, 2, 0, 2, 0, 2, 6, 1], [0, 1, 1, 2, 0, 2, 0, 3, 4, 2], [0, 1, 1, 2, 0, 2, 0, 4, 2, 3], [0, 1, 1, 2, 0, 2, 0, 5, 0, 4], [0, 1, 1, 2, 0, 2, 1, 0, 7, 1], [0, 1, 1, 2, 0, 2, 1, 1, 5, 2], [0, 1, 1, 2, 0, 2, 1, 2, 3, 3], [0, 1, 1, 2, 0, 2, 1, 3, 1, 4], [0, 1, 1, 2, 0, 2, 2, 0, 4, 3], [0, 1, 1, 2, 0, 2, 2, 1, 2, 4], [0, 1, 1, 2, 0, 2, 2, 2, 0, 5], [0, 1, 1, 2, 0, 2, 3, 0, 1, 5], [0, 1, 1, 2, 0, 3, 0, 0, 6, 2], [0, 1, 1, 2, 0, 3, 0, 1, 4, 3], [0, 1, 1, 2, 0, 3, 0, 2, 2, 4], [0, 1, 1, 2, 0, 3, 0, 3, 0, 5], [0, 1, 1, 2, 0, 3, 1, 0, 3, 4], [0, 1, 1, 2, 0, 3, 1, 1, 1, 5], [0, 1, 1, 2, 0, 3, 2, 0, 0, 6], [0, 1, 1, 2, 0, 4, 0, 0, 2, 5], [0, 1, 1, 2, 0, 4, 0, 1, 0, 6], [0, 1, 1, 2, 1, 0, 0, 3, 7, 0], [0, 1, 1, 2, 1, 0, 0, 4, 5, 1], [0, 1, 1, 2, 1, 0, 0, 5, 3, 2], [0, 1, 1, 2, 1, 0, 0, 6, 1, 3], [0, 1, 1, 2, 1, 0, 1, 1, 8, 0], [0, 1, 1, 2, 1, 0, 1, 2, 6, 1], [0, 1, 1, 2, 1, 0, 1, 3, 4, 2], [0, 1, 1, 2, 1, 0, 1, 4, 2, 3], [0, 1, 1, 2, 1, 0, 1, 5, 0, 4], [0, 1, 1, 2, 1, 0, 2, 0, 7, 1], [0, 1, 1, 2, 1, 0, 2, 1, 5, 2], [0, 1, 1, 2, 1, 0, 2, 2, 3, 3], [0, 1, 1, 2, 1, 0, 2, 3, 1, 4], [0, 1, 1, 2, 1, 0, 3, 0, 4, 3], [0, 1, 1, 2, 1, 0, 3, 1, 2, 4], [0, 1, 1, 2, 1, 0, 3, 2, 0, 5], [0, 1, 1, 2, 1, 0, 4, 0, 1, 5], [0, 1, 1, 2, 1, 1, 0, 0, 9, 0], [0, 1, 1, 2, 1, 1, 0, 1, 7, 1], [0, 1, 1, 2, 1, 1, 0, 2, 5, 2], [0, 1, 1, 2, 1, 1, 0, 3, 3, 3], [0, 1, 1, 2, 1, 1, 0, 4, 1, 4], [0, 1, 1, 2, 1, 1, 1, 0, 6, 2], [0, 1, 1, 2, 1, 1, 1, 1, 4, 3], [0, 1, 1, 2, 1, 1, 1, 2, 2, 4], [0, 1, 1, 2, 1, 1, 1, 3, 0, 5], [0, 1, 1, 2, 1, 1, 2, 0, 3, 4], [0, 1, 1, 2, 1, 1, 2, 1, 1, 5], [0, 1, 1, 2, 1, 1, 3, 0, 0, 6], [0, 1, 1, 2, 1, 2, 0, 0, 5, 3], [0, 1, 1, 2, 1, 2, 0, 1, 3, 4], [0, 1, 1, 2, 1, 2, 0, 2, 1, 5], [0, 1, 1, 2, 1, 2, 1, 0, 2, 5], [0, 1, 1, 2, 1, 2, 1, 1, 0, 6], [0, 1, 1, 2, 1, 3, 0, 0, 1, 6], [0, 1, 1, 2, 2, 0, 0, 0, 8, 1], [0, 1, 1, 2, 2, 0, 0, 1, 6, 2], [0, 1, 1, 2, 2, 0, 0, 2, 4, 3], [0, 1, 1, 2, 2, 0, 0, 3, 2, 4], [0, 1, 1, 2, 2, 0, 0, 4, 0, 5], [0, 1, 1, 2, 2, 0, 1, 0, 5, 3], [0, 1, 1, 2, 2, 0, 1, 1, 3, 4], [0, 1, 1, 2, 2, 0, 1, 2, 1, 5], [0, 1, 1, 2, 2, 0, 2, 0, 2, 5], [0, 1, 1, 2, 2, 0, 2, 1, 0, 6], [0, 1, 1, 2, 2, 1, 0, 0, 4, 4], [0, 1, 1, 2, 2, 1, 0, 1, 2, 5], [0, 1, 1, 2, 2, 1, 0, 2, 0, 6], [0, 1, 1, 2, 2, 1, 1, 0, 1, 6], [0, 1, 1, 2, 2, 2, 0, 0, 0, 7], [0, 1, 1, 2, 3, 0, 0, 0, 3, 5], [0, 1, 1, 2, 3, 0, 0, 1, 1, 6], [0, 1, 1, 2, 3, 0, 1, 0, 0, 7], [0, 1, 1, 3, 0, 0, 0, 2, 8, 0], [0, 1, 1, 3, 0, 0, 0, 3, 6, 1], [0, 1, 1, 3, 0, 0, 0, 4, 4, 2], [0, 1, 1, 3, 0, 0, 0, 5, 2, 3], [0, 1, 1, 3, 0, 0, 0, 6, 0, 4], [0, 1, 1, 3, 0, 0, 1, 0, 9, 0], [0, 1, 1, 3, 0, 0, 1, 1, 7, 1], [0, 1, 1, 3, 0, 0, 1, 2, 5, 2], [0, 1, 1, 3, 0, 0, 1, 3, 3, 3], [0, 1, 1, 3, 0, 0, 1, 4, 1, 4], [0, 1, 1, 3, 0, 0, 2, 0, 6, 2], [0, 1, 1, 3, 0, 0, 2, 1, 4, 3], [0, 1, 1, 3, 0, 0, 2, 2, 2, 4], [0, 1, 1, 3, 0, 0, 2, 3, 0, 5], [0, 1, 1, 3, 0, 0, 3, 0, 3, 4], [0, 1, 1, 3, 0, 0, 3, 1, 1, 5], [0, 1, 1, 3, 0, 0, 4, 0, 0, 6], [0, 1, 1, 3, 0, 1, 0, 0, 8, 1], [0, 1, 1, 3, 0, 1, 0, 1, 6, 2], [0, 1, 1, 3, 0, 1, 0, 2, 4, 3], [0, 1, 1, 3, 0, 1, 0, 3, 2, 4], [0, 1, 1, 3, 0, 1, 0, 4, 0, 5], [0, 1, 1, 3, 0, 1, 1, 0, 5, 3], [0, 1, 1, 3, 0, 1, 1, 1, 3, 4], [0, 1, 1, 3, 0, 1, 1, 2, 1, 5], [0, 1, 1, 3, 0, 1, 2, 0, 2, 5], [0, 1, 1, 3, 0, 1, 2, 1, 0, 6], [0, 1, 1, 3, 0, 2, 0, 0, 4, 4], [0, 1, 1, 3, 0, 2, 0, 1, 2, 5], [0, 1, 1, 3, 0, 2, 0, 2, 0, 6], [0, 1, 1, 3, 0, 2, 1, 0, 1, 6], [0, 1, 1, 3, 0, 3, 0, 0, 0, 7], [0, 1, 1, 3, 1, 0, 0, 0, 7, 2], [0, 1, 1, 3, 1, 0, 0, 1, 5, 3], [0, 1, 1, 3, 1, 0, 0, 2, 3, 4], [0, 1, 1, 3, 1, 0, 0, 3, 1, 5], [0, 1, 1, 3, 1, 0, 1, 0, 4, 4], [0, 1, 1, 3, 1, 0, 1, 1, 2, 5], [0, 1, 1, 3, 1, 0, 1, 2, 0, 6], [0, 1, 1, 3, 1, 0, 2, 0, 1, 6], [0, 1, 1, 3, 1, 1, 0, 0, 3, 5], [0, 1, 1, 3, 1, 1, 0, 1, 1, 6], [0, 1, 1, 3, 1, 1, 1, 0, 0, 7], [0, 1, 1, 3, 2, 0, 0, 0, 2, 6], [0, 1, 1, 3, 2, 0, 0, 1, 0, 7], [0, 1, 1, 4, 0, 0, 0, 0, 6, 3], [0, 1, 1, 4, 0, 0, 0, 1, 4, 4], [0, 1, 1, 4, 0, 0, 0, 2, 2, 5], [0, 1, 1, 4, 0, 0, 0, 3, 0, 6], [0, 1, 1, 4, 0, 0, 1, 0, 3, 5], [0, 1, 1, 4, 0, 0, 1, 1, 1, 6], [0, 1, 1, 4, 0, 0, 2, 0, 0, 7], [0, 1, 1, 4, 0, 1, 0, 0, 2, 6], [0, 1, 1, 4, 0, 1, 0, 1, 0, 7], [0, 1, 1, 4, 1, 0, 0, 0, 1, 7], [0, 1, 1, 5, 0, 0, 0, 0, 0, 8], [0, 1, 2, 0, 0, 0, 0, 11, 1, 0], [0, 1, 2, 0, 0, 0, 1, 9, 2, 0], [0, 1, 2, 0, 0, 0, 1, 10, 0, 1], [0, 1, 2, 0, 0, 0, 2, 7, 3, 0], [0, 1, 2, 0, 0, 0, 2, 8, 1, 1], [0, 1, 2, 0, 0, 0, 3, 5, 4, 0], [0, 1, 2, 0, 0, 0, 3, 6, 2, 1], [0, 1, 2, 0, 0, 0, 3, 7, 0, 2], [0, 1, 2, 0, 0, 0, 4, 3, 5, 0], [0, 1, 2, 0, 0, 0, 4, 4, 3, 1], [0, 1, 2, 0, 0, 0, 4, 5, 1, 2], [0, 1, 2, 0, 0, 0, 5, 1, 6, 0], [0, 1, 2, 0, 0, 0, 5, 2, 4, 1], [0, 1, 2, 0, 0, 0, 5, 3, 2, 2], [0, 1, 2, 0, 0, 0, 5, 4, 0, 3], [0, 1, 2, 0, 0, 0, 6, 0, 5, 1], [0, 1, 2, 0, 0, 0, 6, 1, 3, 2], [0, 1, 2, 0, 0, 0, 6, 2, 1, 3], [0, 1, 2, 0, 0, 0, 7, 0, 2, 3], [0, 1, 2, 0, 0, 0, 7, 1, 0, 4], [0, 1, 2, 0, 0, 1, 0, 8, 3, 0], [0, 1, 2, 0, 0, 1, 0, 9, 1, 1], [0, 1, 2, 0, 0, 1, 1, 6, 4, 0], [0, 1, 2, 0, 0, 1, 1, 7, 2, 1], [0, 1, 2, 0, 0, 1, 1, 8, 0, 2], [0, 1, 2, 0, 0, 1, 2, 4, 5, 0], [0, 1, 2, 0, 0, 1, 2, 5, 3, 1], [0, 1, 2, 0, 0, 1, 2, 6, 1, 2], [0, 1, 2, 0, 0, 1, 3, 2, 6, 0], [0, 1, 2, 0, 0, 1, 3, 3, 4, 1], [0, 1, 2, 0, 0, 1, 3, 4, 2, 2], [0, 1, 2, 0, 0, 1, 3, 5, 0, 3], [0, 1, 2, 0, 0, 1, 4, 0, 7, 0], [0, 1, 2, 0, 0, 1, 4, 1, 5, 1], [0, 1, 2, 0, 0, 1, 4, 2, 3, 2], [0, 1, 2, 0, 0, 1, 4, 3, 1, 3], [0, 1, 2, 0, 0, 1, 5, 0, 4, 2], [0, 1, 2, 0, 0, 1, 5, 1, 2, 3], [0, 1, 2, 0, 0, 1, 5, 2, 0, 4], [0, 1, 2, 0, 0, 1, 6, 0, 1, 4], [0, 1, 2, 0, 0, 2, 0, 5, 5, 0], [0, 1, 2, 0, 0, 2, 0, 6, 3, 1], [0, 1, 2, 0, 0, 2, 0, 7, 1, 2], [0, 1, 2, 0, 0, 2, 1, 3, 6, 0], [0, 1, 2, 0, 0, 2, 1, 4, 4, 1], [0, 1, 2, 0, 0, 2, 1, 5, 2, 2], [0, 1, 2, 0, 0, 2, 1, 6, 0, 3], [0, 1, 2, 0, 0, 2, 2, 1, 7, 0], [0, 1, 2, 0, 0, 2, 2, 2, 5, 1], [0, 1, 2, 0, 0, 2, 2, 3, 3, 2], [0, 1, 2, 0, 0, 2, 2, 4, 1, 3], [0, 1, 2, 0, 0, 2, 3, 0, 6, 1], [0, 1, 2, 0, 0, 2, 3, 1, 4, 2], [0, 1, 2, 0, 0, 2, 3, 2, 2, 3], [0, 1, 2, 0, 0, 2, 3, 3, 0, 4], [0, 1, 2, 0, 0, 2, 4, 0, 3, 3], [0, 1, 2, 0, 0, 2, 4, 1, 1, 4], [0, 1, 2, 0, 0, 2, 5, 0, 0, 5], [0, 1, 2, 0, 0, 3, 0, 2, 7, 0], [0, 1, 2, 0, 0, 3, 0, 3, 5, 1], [0, 1, 2, 0, 0, 3, 0, 4, 3, 2], [0, 1, 2, 0, 0, 3, 0, 5, 1, 3], [0, 1, 2, 0, 0, 3, 1, 0, 8, 0], [0, 1, 2, 0, 0, 3, 1, 1, 6, 1], [0, 1, 2, 0, 0, 3, 1, 2, 4, 2], [0, 1, 2, 0, 0, 3, 1, 3, 2, 3], [0, 1, 2, 0, 0, 3, 1, 4, 0, 4], [0, 1, 2, 0, 0, 3, 2, 0, 5, 2], [0, 1, 2, 0, 0, 3, 2, 1, 3, 3], [0, 1, 2, 0, 0, 3, 2, 2, 1, 4], [0, 1, 2, 0, 0, 3, 3, 0, 2, 4], [0, 1, 2, 0, 0, 3, 3, 1, 0, 5], [0, 1, 2, 0, 0, 4, 0, 0, 7, 1], [0, 1, 2, 0, 0, 4, 0, 1, 5, 2], [0, 1, 2, 0, 0, 4, 0, 2, 3, 3], [0, 1, 2, 0, 0, 4, 0, 3, 1, 4], [0, 1, 2, 0, 0, 4, 1, 0, 4, 3], [0, 1, 2, 0, 0, 4, 1, 1, 2, 4], [0, 1, 2, 0, 0, 4, 1, 2, 0, 5], [0, 1, 2, 0, 0, 4, 2, 0, 1, 5], [0, 1, 2, 0, 0, 5, 0, 0, 3, 4], [0, 1, 2, 0, 0, 5, 0, 1, 1, 5], [0, 1, 2, 0, 0, 5, 1, 0, 0, 6], [0, 1, 2, 0, 1, 0, 0, 7, 4, 0], [0, 1, 2, 0, 1, 0, 0, 8, 2, 1], [0, 1, 2, 0, 1, 0, 0, 9, 0, 2], [0, 1, 2, 0, 1, 0, 1, 5, 5, 0], [0, 1, 2, 0, 1, 0, 1, 6, 3, 1], [0, 1, 2, 0, 1, 0, 1, 7, 1, 2], [0, 1, 2, 0, 1, 0, 2, 3, 6, 0], [0, 1, 2, 0, 1, 0, 2, 4, 4, 1], [0, 1, 2, 0, 1, 0, 2, 5, 2, 2], [0, 1, 2, 0, 1, 0, 2, 6, 0, 3], [0, 1, 2, 0, 1, 0, 3, 1, 7, 0], [0, 1, 2, 0, 1, 0, 3, 2, 5, 1], [0, 1, 2, 0, 1, 0, 3, 3, 3, 2], [0, 1, 2, 0, 1, 0, 3, 4, 1, 3], [0, 1, 2, 0, 1, 0, 4, 0, 6, 1], [0, 1, 2, 0, 1, 0, 4, 1, 4, 2], [0, 1, 2, 0, 1, 0, 4, 2, 2, 3], [0, 1, 2, 0, 1, 0, 4, 3, 0, 4], [0, 1, 2, 0, 1, 0, 5, 0, 3, 3], [0, 1, 2, 0, 1, 0, 5, 1, 1, 4], [0, 1, 2, 0, 1, 0, 6, 0, 0, 5], [0, 1, 2, 0, 1, 1, 0, 4, 6, 0], [0, 1, 2, 0, 1, 1, 0, 5, 4, 1], [0, 1, 2, 0, 1, 1, 0, 6, 2, 2], [0, 1, 2, 0, 1, 1, 0, 7, 0, 3], [0, 1, 2, 0, 1, 1, 1, 2, 7, 0], [0, 1, 2, 0, 1, 1, 1, 3, 5, 1], [0, 1, 2, 0, 1, 1, 1, 4, 3, 2], [0, 1, 2, 0, 1, 1, 1, 5, 1, 3], [0, 1, 2, 0, 1, 1, 2, 0, 8, 0], [0, 1, 2, 0, 1, 1, 2, 1, 6, 1], [0, 1, 2, 0, 1, 1, 2, 2, 4, 2], [0, 1, 2, 0, 1, 1, 2, 3, 2, 3], [0, 1, 2, 0, 1, 1, 2, 4, 0, 4], [0, 1, 2, 0, 1, 1, 3, 0, 5, 2], [0, 1, 2, 0, 1, 1, 3, 1, 3, 3], [0, 1, 2, 0, 1, 1, 3, 2, 1, 4], [0, 1, 2, 0, 1, 1, 4, 0, 2, 4], [0, 1, 2, 0, 1, 1, 4, 1, 0, 5], [0, 1, 2, 0, 1, 2, 0, 1, 8, 0], [0, 1, 2, 0, 1, 2, 0, 2, 6, 1], [0, 1, 2, 0, 1, 2, 0, 3, 4, 2], [0, 1, 2, 0, 1, 2, 0, 4, 2, 3], [0, 1, 2, 0, 1, 2, 0, 5, 0, 4], [0, 1, 2, 0, 1, 2, 1, 0, 7, 1], [0, 1, 2, 0, 1, 2, 1, 1, 5, 2], [0, 1, 2, 0, 1, 2, 1, 2, 3, 3], [0, 1, 2, 0, 1, 2, 1, 3, 1, 4], [0, 1, 2, 0, 1, 2, 2, 0, 4, 3], [0, 1, 2, 0, 1, 2, 2, 1, 2, 4], [0, 1, 2, 0, 1, 2, 2, 2, 0, 5], [0, 1, 2, 0, 1, 2, 3, 0, 1, 5], [0, 1, 2, 0, 1, 3, 0, 0, 6, 2], [0, 1, 2, 0, 1, 3, 0, 1, 4, 3], [0, 1, 2, 0, 1, 3, 0, 2, 2, 4], [0, 1, 2, 0, 1, 3, 0, 3, 0, 5], [0, 1, 2, 0, 1, 3, 1, 0, 3, 4], [0, 1, 2, 0, 1, 3, 1, 1, 1, 5], [0, 1, 2, 0, 1, 3, 2, 0, 0, 6], [0, 1, 2, 0, 1, 4, 0, 0, 2, 5], [0, 1, 2, 0, 1, 4, 0, 1, 0, 6], [0, 1, 2, 0, 2, 0, 0, 3, 7, 0], [0, 1, 2, 0, 2, 0, 0, 4, 5, 1], [0, 1, 2, 0, 2, 0, 0, 5, 3, 2], [0, 1, 2, 0, 2, 0, 0, 6, 1, 3], [0, 1, 2, 0, 2, 0, 1, 1, 8, 0], [0, 1, 2, 0, 2, 0, 1, 2, 6, 1], [0, 1, 2, 0, 2, 0, 1, 3, 4, 2], [0, 1, 2, 0, 2, 0, 1, 4, 2, 3], [0, 1, 2, 0, 2, 0, 1, 5, 0, 4], [0, 1, 2, 0, 2, 0, 2, 0, 7, 1], [0, 1, 2, 0, 2, 0, 2, 1, 5, 2], [0, 1, 2, 0, 2, 0, 2, 2, 3, 3], [0, 1, 2, 0, 2, 0, 2, 3, 1, 4], [0, 1, 2, 0, 2, 0, 3, 0, 4, 3], [0, 1, 2, 0, 2, 0, 3, 1, 2, 4], [0, 1, 2, 0, 2, 0, 3, 2, 0, 5], [0, 1, 2, 0, 2, 0, 4, 0, 1, 5], [0, 1, 2, 0, 2, 1, 0, 0, 9, 0], [0, 1, 2, 0, 2, 1, 0, 1, 7, 1], [0, 1, 2, 0, 2, 1, 0, 2, 5, 2], [0, 1, 2, 0, 2, 1, 0, 3, 3, 3], [0, 1, 2, 0, 2, 1, 0, 4, 1, 4], [0, 1, 2, 0, 2, 1, 1, 0, 6, 2], [0, 1, 2, 0, 2, 1, 1, 1, 4, 3], [0, 1, 2, 0, 2, 1, 1, 2, 2, 4], [0, 1, 2, 0, 2, 1, 1, 3, 0, 5], [0, 1, 2, 0, 2, 1, 2, 0, 3, 4], [0, 1, 2, 0, 2, 1, 2, 1, 1, 5], [0, 1, 2, 0, 2, 1, 3, 0, 0, 6], [0, 1, 2, 0, 2, 2, 0, 0, 5, 3], [0, 1, 2, 0, 2, 2, 0, 1, 3, 4], [0, 1, 2, 0, 2, 2, 0, 2, 1, 5], [0, 1, 2, 0, 2, 2, 1, 0, 2, 5], [0, 1, 2, 0, 2, 2, 1, 1, 0, 6], [0, 1, 2, 0, 2, 3, 0, 0, 1, 6], [0, 1, 2, 0, 3, 0, 0, 0, 8, 1], [0, 1, 2, 0, 3, 0, 0, 1, 6, 2], [0, 1, 2, 0, 3, 0, 0, 2, 4, 3], [0, 1, 2, 0, 3, 0, 0, 3, 2, 4], [0, 1, 2, 0, 3, 0, 0, 4, 0, 5], [0, 1, 2, 0, 3, 0, 1, 0, 5, 3], [0, 1, 2, 0, 3, 0, 1, 1, 3, 4], [0, 1, 2, 0, 3, 0, 1, 2, 1, 5], [0, 1, 2, 0, 3, 0, 2, 0, 2, 5], [0, 1, 2, 0, 3, 0, 2, 1, 0, 6], [0, 1, 2, 0, 3, 1, 0, 0, 4, 4], [0, 1, 2, 0, 3, 1, 0, 1, 2, 5], [0, 1, 2, 0, 3, 1, 0, 2, 0, 6], [0, 1, 2, 0, 3, 1, 1, 0, 1, 6], [0, 1, 2, 0, 3, 2, 0, 0, 0, 7], [0, 1, 2, 0, 4, 0, 0, 0, 3, 5], [0, 1, 2, 0, 4, 0, 0, 1, 1, 6], [0, 1, 2, 0, 4, 0, 1, 0, 0, 7], [0, 1, 2, 1, 0, 0, 0, 6, 5, 0], [0, 1, 2, 1, 0, 0, 0, 7, 3, 1], [0, 1, 2, 1, 0, 0, 0, 8, 1, 2], [0, 1, 2, 1, 0, 0, 1, 4, 6, 0], [0, 1, 2, 1, 0, 0, 1, 5, 4, 1], [0, 1, 2, 1, 0, 0, 1, 6, 2, 2], [0, 1, 2, 1, 0, 0, 1, 7, 0, 3], [0, 1, 2, 1, 0, 0, 2, 2, 7, 0], [0, 1, 2, 1, 0, 0, 2, 3, 5, 1], [0, 1, 2, 1, 0, 0, 2, 4, 3, 2], [0, 1, 2, 1, 0, 0, 2, 5, 1, 3], [0, 1, 2, 1, 0, 0, 3, 0, 8, 0], [0, 1, 2, 1, 0, 0, 3, 1, 6, 1], [0, 1, 2, 1, 0, 0, 3, 2, 4, 2], [0, 1, 2, 1, 0, 0, 3, 3, 2, 3], [0, 1, 2, 1, 0, 0, 3, 4, 0, 4], [0, 1, 2, 1, 0, 0, 4, 0, 5, 2], [0, 1, 2, 1, 0, 0, 4, 1, 3, 3], [0, 1, 2, 1, 0, 0, 4, 2, 1, 4], [0, 1, 2, 1, 0, 0, 5, 0, 2, 4], [0, 1, 2, 1, 0, 0, 5, 1, 0, 5], [0, 1, 2, 1, 0, 1, 0, 3, 7, 0], [0, 1, 2, 1, 0, 1, 0, 4, 5, 1], [0, 1, 2, 1, 0, 1, 0, 5, 3, 2], [0, 1, 2, 1, 0, 1, 0, 6, 1, 3], [0, 1, 2, 1, 0, 1, 1, 1, 8, 0], [0, 1, 2, 1, 0, 1, 1, 2, 6, 1], [0, 1, 2, 1, 0, 1, 1, 3, 4, 2], [0, 1, 2, 1, 0, 1, 1, 4, 2, 3], [0, 1, 2, 1, 0, 1, 1, 5, 0, 4], [0, 1, 2, 1, 0, 1, 2, 0, 7, 1], [0, 1, 2, 1, 0, 1, 2, 1, 5, 2], [0, 1, 2, 1, 0, 1, 2, 2, 3, 3], [0, 1, 2, 1, 0, 1, 2, 3, 1, 4], [0, 1, 2, 1, 0, 1, 3, 0, 4, 3], [0, 1, 2, 1, 0, 1, 3, 1, 2, 4], [0, 1, 2, 1, 0, 1, 3, 2, 0, 5], [0, 1, 2, 1, 0, 1, 4, 0, 1, 5], [0, 1, 2, 1, 0, 2, 0, 0, 9, 0], [0, 1, 2, 1, 0, 2, 0, 1, 7, 1], [0, 1, 2, 1, 0, 2, 0, 2, 5, 2], [0, 1, 2, 1, 0, 2, 0, 3, 3, 3], [0, 1, 2, 1, 0, 2, 0, 4, 1, 4], [0, 1, 2, 1, 0, 2, 1, 0, 6, 2], [0, 1, 2, 1, 0, 2, 1, 1, 4, 3], [0, 1, 2, 1, 0, 2, 1, 2, 2, 4], [0, 1, 2, 1, 0, 2, 1, 3, 0, 5], [0, 1, 2, 1, 0, 2, 2, 0, 3, 4], [0, 1, 2, 1, 0, 2, 2, 1, 1, 5], [0, 1, 2, 1, 0, 2, 3, 0, 0, 6], [0, 1, 2, 1, 0, 3, 0, 0, 5, 3], [0, 1, 2, 1, 0, 3, 0, 1, 3, 4], [0, 1, 2, 1, 0, 3, 0, 2, 1, 5], [0, 1, 2, 1, 0, 3, 1, 0, 2, 5], [0, 1, 2, 1, 0, 3, 1, 1, 0, 6], [0, 1, 2, 1, 0, 4, 0, 0, 1, 6], [0, 1, 2, 1, 1, 0, 0, 2, 8, 0], [0, 1, 2, 1, 1, 0, 0, 3, 6, 1], [0, 1, 2, 1, 1, 0, 0, 4, 4, 2], [0, 1, 2, 1, 1, 0, 0, 5, 2, 3], [0, 1, 2, 1, 1, 0, 0, 6, 0, 4], [0, 1, 2, 1, 1, 0, 1, 0, 9, 0], [0, 1, 2, 1, 1, 0, 1, 1, 7, 1], [0, 1, 2, 1, 1, 0, 1, 2, 5, 2], [0, 1, 2, 1, 1, 0, 1, 3, 3, 3], [0, 1, 2, 1, 1, 0, 1, 4, 1, 4], [0, 1, 2, 1, 1, 0, 2, 0, 6, 2], [0, 1, 2, 1, 1, 0, 2, 1, 4, 3], [0, 1, 2, 1, 1, 0, 2, 2, 2, 4], [0, 1, 2, 1, 1, 0, 2, 3, 0, 5], [0, 1, 2, 1, 1, 0, 3, 0, 3, 4], [0, 1, 2, 1, 1, 0, 3, 1, 1, 5], [0, 1, 2, 1, 1, 0, 4, 0, 0, 6], [0, 1, 2, 1, 1, 1, 0, 0, 8, 1], [0, 1, 2, 1, 1, 1, 0, 1, 6, 2], [0, 1, 2, 1, 1, 1, 0, 2, 4, 3], [0, 1, 2, 1, 1, 1, 0, 3, 2, 4], [0, 1, 2, 1, 1, 1, 0, 4, 0, 5], [0, 1, 2, 1, 1, 1, 1, 0, 5, 3], [0, 1, 2, 1, 1, 1, 1, 1, 3, 4], [0, 1, 2, 1, 1, 1, 1, 2, 1, 5], [0, 1, 2, 1, 1, 1, 2, 0, 2, 5], [0, 1, 2, 1, 1, 1, 2, 1, 0, 6], [0, 1, 2, 1, 1, 2, 0, 0, 4, 4], [0, 1, 2, 1, 1, 2, 0, 1, 2, 5], [0, 1, 2, 1, 1, 2, 0, 2, 0, 6], [0, 1, 2, 1, 1, 2, 1, 0, 1, 6], [0, 1, 2, 1, 1, 3, 0, 0, 0, 7], [0, 1, 2, 1, 2, 0, 0, 0, 7, 2], [0, 1, 2, 1, 2, 0, 0, 1, 5, 3], [0, 1, 2, 1, 2, 0, 0, 2, 3, 4], [0, 1, 2, 1, 2, 0, 0, 3, 1, 5], [0, 1, 2, 1, 2, 0, 1, 0, 4, 4], [0, 1, 2, 1, 2, 0, 1, 1, 2, 5], [0, 1, 2, 1, 2, 0, 1, 2, 0, 6], [0, 1, 2, 1, 2, 0, 2, 0, 1, 6], [0, 1, 2, 1, 2, 1, 0, 0, 3, 5], [0, 1, 2, 1, 2, 1, 0, 1, 1, 6], [0, 1, 2, 1, 2, 1, 1, 0, 0, 7], [0, 1, 2, 1, 3, 0, 0, 0, 2, 6], [0, 1, 2, 1, 3, 0, 0, 1, 0, 7], [0, 1, 2, 2, 0, 0, 0, 1, 9, 0], [0, 1, 2, 2, 0, 0, 0, 2, 7, 1], [0, 1, 2, 2, 0, 0, 0, 3, 5, 2], [0, 1, 2, 2, 0, 0, 0, 4, 3, 3], [0, 1, 2, 2, 0, 0, 0, 5, 1, 4], [0, 1, 2, 2, 0, 0, 1, 0, 8, 1], [0, 1, 2, 2, 0, 0, 1, 1, 6, 2], [0, 1, 2, 2, 0, 0, 1, 2, 4, 3], [0, 1, 2, 2, 0, 0, 1, 3, 2, 4], [0, 1, 2, 2, 0, 0, 1, 4, 0, 5], [0, 1, 2, 2, 0, 0, 2, 0, 5, 3], [0, 1, 2, 2, 0, 0, 2, 1, 3, 4], [0, 1, 2, 2, 0, 0, 2, 2, 1, 5], [0, 1, 2, 2, 0, 0, 3, 0, 2, 5], [0, 1, 2, 2, 0, 0, 3, 1, 0, 6], [0, 1, 2, 2, 0, 1, 0, 0, 7, 2], [0, 1, 2, 2, 0, 1, 0, 1, 5, 3], [0, 1, 2, 2, 0, 1, 0, 2, 3, 4], [0, 1, 2, 2, 0, 1, 0, 3, 1, 5], [0, 1, 2, 2, 0, 1, 1, 0, 4, 4], [0, 1, 2, 2, 0, 1, 1, 1, 2, 5], [0, 1, 2, 2, 0, 1, 1, 2, 0, 6], [0, 1, 2, 2, 0, 1, 2, 0, 1, 6], [0, 1, 2, 2, 0, 2, 0, 0, 3, 5], [0, 1, 2, 2, 0, 2, 0, 1, 1, 6], [0, 1, 2, 2, 0, 2, 1, 0, 0, 7], [0, 1, 2, 2, 1, 0, 0, 0, 6, 3], [0, 1, 2, 2, 1, 0, 0, 1, 4, 4], [0, 1, 2, 2, 1, 0, 0, 2, 2, 5], [0, 1, 2, 2, 1, 0, 0, 3, 0, 6], [0, 1, 2, 2, 1, 0, 1, 0, 3, 5], [0, 1, 2, 2, 1, 0, 1, 1, 1, 6], [0, 1, 2, 2, 1, 0, 2, 0, 0, 7], [0, 1, 2, 2, 1, 1, 0, 0, 2, 6], [0, 1, 2, 2, 1, 1, 0, 1, 0, 7], [0, 1, 2, 2, 2, 0, 0, 0, 1, 7], [0, 1, 2, 3, 0, 0, 0, 0, 5, 4], [0, 1, 2, 3, 0, 0, 0, 1, 3, 5], [0, 1, 2, 3, 0, 0, 0, 2, 1, 6], [0, 1, 2, 3, 0, 0, 1, 0, 2, 6], [0, 1, 2, 3, 0, 0, 1, 1, 0, 7], [0, 1, 2, 3, 0, 1, 0, 0, 1, 7], [0, 1, 2, 3, 1, 0, 0, 0, 0, 8], [0, 1, 3, 0, 0, 0, 0, 5, 6, 0], [0, 1, 3, 0, 0, 0, 0, 6, 4, 1], [0, 1, 3, 0, 0, 0, 0, 7, 2, 2], [0, 1, 3, 0, 0, 0, 0, 8, 0, 3], [0, 1, 3, 0, 0, 0, 1, 3, 7, 0], [0, 1, 3, 0, 0, 0, 1, 4, 5, 1], [0, 1, 3, 0, 0, 0, 1, 5, 3, 2], [0, 1, 3, 0, 0, 0, 1, 6, 1, 3], [0, 1, 3, 0, 0, 0, 2, 1, 8, 0], [0, 1, 3, 0, 0, 0, 2, 2, 6, 1], [0, 1, 3, 0, 0, 0, 2, 3, 4, 2], [0, 1, 3, 0, 0, 0, 2, 4, 2, 3], [0, 1, 3, 0, 0, 0, 2, 5, 0, 4], [0, 1, 3, 0, 0, 0, 3, 0, 7, 1], [0, 1, 3, 0, 0, 0, 3, 1, 5, 2], [0, 1, 3, 0, 0, 0, 3, 2, 3, 3], [0, 1, 3, 0, 0, 0, 3, 3, 1, 4], [0, 1, 3, 0, 0, 0, 4, 0, 4, 3], [0, 1, 3, 0, 0, 0, 4, 1, 2, 4], [0, 1, 3, 0, 0, 0, 4, 2, 0, 5], [0, 1, 3, 0, 0, 0, 5, 0, 1, 5], [0, 1, 3, 0, 0, 1, 0, 2, 8, 0], [0, 1, 3, 0, 0, 1, 0, 3, 6, 1], [0, 1, 3, 0, 0, 1, 0, 4, 4, 2], [0, 1, 3, 0, 0, 1, 0, 5, 2, 3], [0, 1, 3, 0, 0, 1, 0, 6, 0, 4], [0, 1, 3, 0, 0, 1, 1, 0, 9, 0], [0, 1, 3, 0, 0, 1, 1, 1, 7, 1], [0, 1, 3, 0, 0, 1, 1, 2, 5, 2], [0, 1, 3, 0, 0, 1, 1, 3, 3, 3], [0, 1, 3, 0, 0, 1, 1, 4, 1, 4], [0, 1, 3, 0, 0, 1, 2, 0, 6, 2], [0, 1, 3, 0, 0, 1, 2, 1, 4, 3], [0, 1, 3, 0, 0, 1, 2, 2, 2, 4], [0, 1, 3, 0, 0, 1, 2, 3, 0, 5], [0, 1, 3, 0, 0, 1, 3, 0, 3, 4], [0, 1, 3, 0, 0, 1, 3, 1, 1, 5], [0, 1, 3, 0, 0, 1, 4, 0, 0, 6], [0, 1, 3, 0, 0, 2, 0, 0, 8, 1], [0, 1, 3, 0, 0, 2, 0, 1, 6, 2], [0, 1, 3, 0, 0, 2, 0, 2, 4, 3], [0, 1, 3, 0, 0, 2, 0, 3, 2, 4], [0, 1, 3, 0, 0, 2, 0, 4, 0, 5], [0, 1, 3, 0, 0, 2, 1, 0, 5, 3], [0, 1, 3, 0, 0, 2, 1, 1, 3, 4], [0, 1, 3, 0, 0, 2, 1, 2, 1, 5], [0, 1, 3, 0, 0, 2, 2, 0, 2, 5], [0, 1, 3, 0, 0, 2, 2, 1, 0, 6], [0, 1, 3, 0, 0, 3, 0, 0, 4, 4], [0, 1, 3, 0, 0, 3, 0, 1, 2, 5], [0, 1, 3, 0, 0, 3, 0, 2, 0, 6], [0, 1, 3, 0, 0, 3, 1, 0, 1, 6], [0, 1, 3, 0, 0, 4, 0, 0, 0, 7], [0, 1, 3, 0, 1, 0, 0, 1, 9, 0], [0, 1, 3, 0, 1, 0, 0, 2, 7, 1], [0, 1, 3, 0, 1, 0, 0, 3, 5, 2], [0, 1, 3, 0, 1, 0, 0, 4, 3, 3], [0, 1, 3, 0, 1, 0, 0, 5, 1, 4], [0, 1, 3, 0, 1, 0, 1, 0, 8, 1], [0, 1, 3, 0, 1, 0, 1, 1, 6, 2], [0, 1, 3, 0, 1, 0, 1, 2, 4, 3], [0, 1, 3, 0, 1, 0, 1, 3, 2, 4], [0, 1, 3, 0, 1, 0, 1, 4, 0, 5], [0, 1, 3, 0, 1, 0, 2, 0, 5, 3], [0, 1, 3, 0, 1, 0, 2, 1, 3, 4], [0, 1, 3, 0, 1, 0, 2, 2, 1, 5], [0, 1, 3, 0, 1, 0, 3, 0, 2, 5], [0, 1, 3, 0, 1, 0, 3, 1, 0, 6], [0, 1, 3, 0, 1, 1, 0, 0, 7, 2], [0, 1, 3, 0, 1, 1, 0, 1, 5, 3], [0, 1, 3, 0, 1, 1, 0, 2, 3, 4], [0, 1, 3, 0, 1, 1, 0, 3, 1, 5], [0, 1, 3, 0, 1, 1, 1, 0, 4, 4], [0, 1, 3, 0, 1, 1, 1, 1, 2, 5], [0, 1, 3, 0, 1, 1, 1, 2, 0, 6], [0, 1, 3, 0, 1, 1, 2, 0, 1, 6], [0, 1, 3, 0, 1, 2, 0, 0, 3, 5], [0, 1, 3, 0, 1, 2, 0, 1, 1, 6], [0, 1, 3, 0, 1, 2, 1, 0, 0, 7], [0, 1, 3, 0, 2, 0, 0, 0, 6, 3], [0, 1, 3, 0, 2, 0, 0, 1, 4, 4], [0, 1, 3, 0, 2, 0, 0, 2, 2, 5], [0, 1, 3, 0, 2, 0, 0, 3, 0, 6], [0, 1, 3, 0, 2, 0, 1, 0, 3, 5], [0, 1, 3, 0, 2, 0, 1, 1, 1, 6], [0, 1, 3, 0, 2, 0, 2, 0, 0, 7], [0, 1, 3, 0, 2, 1, 0, 0, 2, 6], [0, 1, 3, 0, 2, 1, 0, 1, 0, 7], [0, 1, 3, 0, 3, 0, 0, 0, 1, 7], [0, 1, 3, 1, 0, 0, 0, 0, 10, 0], [0, 1, 3, 1, 0, 0, 0, 1, 8, 1], [0, 1, 3, 1, 0, 0, 0, 2, 6, 2], [0, 1, 3, 1, 0, 0, 0, 3, 4, 3], [0, 1, 3, 1, 0, 0, 0, 4, 2, 4], [0, 1, 3, 1, 0, 0, 0, 5, 0, 5], [0, 1, 3, 1, 0, 0, 1, 0, 7, 2], [0, 1, 3, 1, 0, 0, 1, 1, 5, 3], [0, 1, 3, 1, 0, 0, 1, 2, 3, 4], [0, 1, 3, 1, 0, 0, 1, 3, 1, 5], [0, 1, 3, 1, 0, 0, 2, 0, 4, 4], [0, 1, 3, 1, 0, 0, 2, 1, 2, 5], [0, 1, 3, 1, 0, 0, 2, 2, 0, 6], [0, 1, 3, 1, 0, 0, 3, 0, 1, 6], [0, 1, 3, 1, 0, 1, 0, 0, 6, 3], [0, 1, 3, 1, 0, 1, 0, 1, 4, 4], [0, 1, 3, 1, 0, 1, 0, 2, 2, 5], [0, 1, 3, 1, 0, 1, 0, 3, 0, 6], [0, 1, 3, 1, 0, 1, 1, 0, 3, 5], [0, 1, 3, 1, 0, 1, 1, 1, 1, 6], [0, 1, 3, 1, 0, 1, 2, 0, 0, 7], [0, 1, 3, 1, 0, 2, 0, 0, 2, 6], [0, 1, 3, 1, 0, 2, 0, 1, 0, 7], [0, 1, 3, 1, 1, 0, 0, 0, 5, 4], [0, 1, 3, 1, 1, 0, 0, 1, 3, 5], [0, 1, 3, 1, 1, 0, 0, 2, 1, 6], [0, 1, 3, 1, 1, 0, 1, 0, 2, 6], [0, 1, 3, 1, 1, 0, 1, 1, 0, 7], [0, 1, 3, 1, 1, 1, 0, 0, 1, 7], [0, 1, 3, 1, 2, 0, 0, 0, 0, 8], [0, 1, 3, 2, 0, 0, 0, 0, 4, 5], [0, 1, 3, 2, 0, 0, 0, 1, 2, 6], [0, 1, 3, 2, 0, 0, 0, 2, 0, 7], [0, 1, 3, 2, 0, 0, 1, 0, 1, 7], [0, 1, 3, 2, 0, 1, 0, 0, 0, 8], [0, 1, 4, 0, 0, 0, 0, 0, 9, 1], [0, 1, 4, 0, 0, 0, 0, 1, 7, 2], [0, 1, 4, 0, 0, 0, 0, 2, 5, 3], [0, 1, 4, 0, 0, 0, 0, 3, 3, 4], [0, 1, 4, 0, 0, 0, 0, 4, 1, 5], [0, 1, 4, 0, 0, 0, 1, 0, 6, 3], [0, 1, 4, 0, 0, 0, 1, 1, 4, 4], [0, 1, 4, 0, 0, 0, 1, 2, 2, 5], [0, 1, 4, 0, 0, 0, 1, 3, 0, 6], [0, 1, 4, 0, 0, 0, 2, 0, 3, 5], [0, 1, 4, 0, 0, 0, 2, 1, 1, 6], [0, 1, 4, 0, 0, 0, 3, 0, 0, 7], [0, 1, 4, 0, 0, 1, 0, 0, 5, 4], [0, 1, 4, 0, 0, 1, 0, 1, 3, 5], [0, 1, 4, 0, 0, 1, 0, 2, 1, 6], [0, 1, 4, 0, 0, 1, 1, 0, 2, 6], [0, 1, 4, 0, 0, 1, 1, 1, 0, 7], [0, 1, 4, 0, 0, 2, 0, 0, 1, 7], [0, 1, 4, 0, 1, 0, 0, 0, 4, 5], [0, 1, 4, 0, 1, 0, 0, 1, 2, 6], [0, 1, 4, 0, 1, 0, 0, 2, 0, 7], [0, 1, 4, 0, 1, 0, 1, 0, 1, 7], [0, 1, 4, 0, 1, 1, 0, 0, 0, 8], [0, 1, 4, 1, 0, 0, 0, 0, 3, 6], [0, 1, 4, 1, 0, 0, 0, 1, 1, 7], [0, 1, 4, 1, 0, 0, 1, 0, 0, 8], [0, 1, 5, 0, 0, 0, 0, 0, 2, 7], [0, 1, 5, 0, 0, 0, 0, 1, 0, 8], [0, 2, 0, 0, 0, 0, 3, 10, 0, 0], [0, 2, 0, 0, 0, 0, 4, 8, 1, 0], [0, 2, 0, 0, 0, 0, 5, 6, 2, 0], [0, 2, 0, 0, 0, 0, 5, 7, 0, 1], [0, 2, 0, 0, 0, 0, 6, 4, 3, 0], [0, 2, 0, 0, 0, 0, 6, 5, 1, 1], [0, 2, 0, 0, 0, 0, 7, 2, 4, 0], [0, 2, 0, 0, 0, 0, 7, 3, 2, 1], [0, 2, 0, 0, 0, 0, 7, 4, 0, 2], [0, 2, 0, 0, 0, 0, 8, 0, 5, 0], [0, 2, 0, 0, 0, 0, 8, 1, 3, 1], [0, 2, 0, 0, 0, 0, 8, 2, 1, 2], [0, 2, 0, 0, 0, 0, 9, 0, 2, 2], [0, 2, 0, 0, 0, 0, 9, 1, 0, 3], [0, 2, 0, 0, 0, 1, 1, 11, 0, 0], [0, 2, 0, 0, 0, 1, 2, 9, 1, 0], [0, 2, 0, 0, 0, 1, 3, 7, 2, 0], [0, 2, 0, 0, 0, 1, 3, 8, 0, 1], [0, 2, 0, 0, 0, 1, 4, 5, 3, 0], [0, 2, 0, 0, 0, 1, 4, 6, 1, 1], [0, 2, 0, 0, 0, 1, 5, 3, 4, 0], [0, 2, 0, 0, 0, 1, 5, 4, 2, 1], [0, 2, 0, 0, 0, 1, 5, 5, 0, 2], [0, 2, 0, 0, 0, 1, 6, 1, 5, 0], [0, 2, 0, 0, 0, 1, 6, 2, 3, 1], [0, 2, 0, 0, 0, 1, 6, 3, 1, 2], [0, 2, 0, 0, 0, 1, 7, 0, 4, 1], [0, 2, 0, 0, 0, 1, 7, 1, 2, 2], [0, 2, 0, 0, 0, 1, 7, 2, 0, 3], [0, 2, 0, 0, 0, 1, 8, 0, 1, 3], [0, 2, 0, 0, 0, 2, 0, 10, 1, 0], [0, 2, 0, 0, 0, 2, 1, 8, 2, 0], [0, 2, 0, 0, 0, 2, 1, 9, 0, 1], [0, 2, 0, 0, 0, 2, 2, 6, 3, 0], [0, 2, 0, 0, 0, 2, 2, 7, 1, 1], [0, 2, 0, 0, 0, 2, 3, 4, 4, 0], [0, 2, 0, 0, 0, 2, 3, 5, 2, 1], [0, 2, 0, 0, 0, 2, 3, 6, 0, 2], [0, 2, 0, 0, 0, 2, 4, 2, 5, 0], [0, 2, 0, 0, 0, 2, 4, 3, 3, 1], [0, 2, 0, 0, 0, 2, 4, 4, 1, 2], [0, 2, 0, 0, 0, 2, 5, 0, 6, 0], [0, 2, 0, 0, 0, 2, 5, 1, 4, 1], [0, 2, 0, 0, 0, 2, 5, 2, 2, 2], [0, 2, 0, 0, 0, 2, 5, 3, 0, 3], [0, 2, 0, 0, 0, 2, 6, 0, 3, 2], [0, 2, 0, 0, 0, 2, 6, 1, 1, 3], [0, 2, 0, 0, 0, 2, 7, 0, 0, 4], [0, 2, 0, 0, 0, 3, 0, 7, 3, 0], [0, 2, 0, 0, 0, 3, 0, 8, 1, 1], [0, 2, 0, 0, 0, 3, 1, 5, 4, 0], [0, 2, 0, 0, 0, 3, 1, 6, 2, 1], [0, 2, 0, 0, 0, 3, 1, 7, 0, 2], [0, 2, 0, 0, 0, 3, 2, 3, 5, 0], [0, 2, 0, 0, 0, 3, 2, 4, 3, 1], [0, 2, 0, 0, 0, 3, 2, 5, 1, 2], [0, 2, 0, 0, 0, 3, 3, 1, 6, 0], [0, 2, 0, 0, 0, 3, 3, 2, 4, 1], [0, 2, 0, 0, 0, 3, 3, 3, 2, 2], [0, 2, 0, 0, 0, 3, 3, 4, 0, 3], [0, 2, 0, 0, 0, 3, 4, 0, 5, 1], [0, 2, 0, 0, 0, 3, 4, 1, 3, 2], [0, 2, 0, 0, 0, 3, 4, 2, 1, 3], [0, 2, 0, 0, 0, 3, 5, 0, 2, 3], [0, 2, 0, 0, 0, 3, 5, 1, 0, 4], [0, 2, 0, 0, 0, 4, 0, 4, 5, 0], [0, 2, 0, 0, 0, 4, 0, 5, 3, 1], [0, 2, 0, 0, 0, 4, 0, 6, 1, 2], [0, 2, 0, 0, 0, 4, 1, 2, 6, 0], [0, 2, 0, 0, 0, 4, 1, 3, 4, 1], [0, 2, 0, 0, 0, 4, 1, 4, 2, 2], [0, 2, 0, 0, 0, 4, 1, 5, 0, 3], [0, 2, 0, 0, 0, 4, 2, 0, 7, 0], [0, 2, 0, 0, 0, 4, 2, 1, 5, 1], [0, 2, 0, 0, 0, 4, 2, 2, 3, 2], [0, 2, 0, 0, 0, 4, 2, 3, 1, 3], [0, 2, 0, 0, 0, 4, 3, 0, 4, 2], [0, 2, 0, 0, 0, 4, 3, 1, 2, 3], [0, 2, 0, 0, 0, 4, 3, 2, 0, 4], [0, 2, 0, 0, 0, 4, 4, 0, 1, 4], [0, 2, 0, 0, 0, 5, 0, 1, 7, 0], [0, 2, 0, 0, 0, 5, 0, 2, 5, 1], [0, 2, 0, 0, 0, 5, 0, 3, 3, 2], [0, 2, 0, 0, 0, 5, 0, 4, 1, 3], [0, 2, 0, 0, 0, 5, 1, 0, 6, 1], [0, 2, 0, 0, 0, 5, 1, 1, 4, 2], [0, 2, 0, 0, 0, 5, 1, 2, 2, 3], [0, 2, 0, 0, 0, 5, 1, 3, 0, 4], [0, 2, 0, 0, 0, 5, 2, 0, 3, 3], [0, 2, 0, 0, 0, 5, 2, 1, 1, 4], [0, 2, 0, 0, 0, 5, 3, 0, 0, 5], [0, 2, 0, 0, 0, 6, 0, 0, 5, 2], [0, 2, 0, 0, 0, 6, 0, 1, 3, 3], [0, 2, 0, 0, 0, 6, 0, 2, 1, 4], [0, 2, 0, 0, 0, 6, 1, 0, 2, 4], [0, 2, 0, 0, 0, 6, 1, 1, 0, 5], [0, 2, 0, 0, 0, 7, 0, 0, 1, 5], [0, 2, 0, 0, 1, 0, 0, 12, 0, 0], [0, 2, 0, 0, 1, 0, 1, 10, 1, 0], [0, 2, 0, 0, 1, 0, 2, 8, 2, 0], [0, 2, 0, 0, 1, 0, 2, 9, 0, 1], [0, 2, 0, 0, 1, 0, 3, 6, 3, 0], [0, 2, 0, 0, 1, 0, 3, 7, 1, 1], [0, 2, 0, 0, 1, 0, 4, 4, 4, 0], [0, 2, 0, 0, 1, 0, 4, 5, 2, 1], [0, 2, 0, 0, 1, 0, 4, 6, 0, 2], [0, 2, 0, 0, 1, 0, 5, 2, 5, 0], [0, 2, 0, 0, 1, 0, 5, 3, 3, 1], [0, 2, 0, 0, 1, 0, 5, 4, 1, 2], [0, 2, 0, 0, 1, 0, 6, 0, 6, 0], [0, 2, 0, 0, 1, 0, 6, 1, 4, 1], [0, 2, 0, 0, 1, 0, 6, 2, 2, 2], [0, 2, 0, 0, 1, 0, 6, 3, 0, 3], [0, 2, 0, 0, 1, 0, 7, 0, 3, 2], [0, 2, 0, 0, 1, 0, 7, 1, 1, 3], [0, 2, 0, 0, 1, 0, 8, 0, 0, 4], [0, 2, 0, 0, 1, 1, 0, 9, 2, 0], [0, 2, 0, 0, 1, 1, 0, 10, 0, 1], [0, 2, 0, 0, 1, 1, 1, 7, 3, 0], [0, 2, 0, 0, 1, 1, 1, 8, 1, 1], [0, 2, 0, 0, 1, 1, 2, 5, 4, 0], [0, 2, 0, 0, 1, 1, 2, 6, 2, 1], [0, 2, 0, 0, 1, 1, 2, 7, 0, 2], [0, 2, 0, 0, 1, 1, 3, 3, 5, 0], [0, 2, 0, 0, 1, 1, 3, 4, 3, 1], [0, 2, 0, 0, 1, 1, 3, 5, 1, 2], [0, 2, 0, 0, 1, 1, 4, 1, 6, 0], [0, 2, 0, 0, 1, 1, 4, 2, 4, 1], [0, 2, 0, 0, 1, 1, 4, 3, 2, 2], [0, 2, 0, 0, 1, 1, 4, 4, 0, 3], [0, 2, 0, 0, 1, 1, 5, 0, 5, 1], [0, 2, 0, 0, 1, 1, 5, 1, 3, 2], [0, 2, 0, 0, 1, 1, 5, 2, 1, 3], [0, 2, 0, 0, 1, 1, 6, 0, 2, 3], [0, 2, 0, 0, 1, 1, 6, 1, 0, 4], [0, 2, 0, 0, 1, 2, 0, 6, 4, 0], [0, 2, 0, 0, 1, 2, 0, 7, 2, 1], [0, 2, 0, 0, 1, 2, 0, 8, 0, 2], [0, 2, 0, 0, 1, 2, 1, 4, 5, 0], [0, 2, 0, 0, 1, 2, 1, 5, 3, 1], [0, 2, 0, 0, 1, 2, 1, 6, 1, 2], [0, 2, 0, 0, 1, 2, 2, 2, 6, 0], [0, 2, 0, 0, 1, 2, 2, 3, 4, 1], [0, 2, 0, 0, 1, 2, 2, 4, 2, 2], [0, 2, 0, 0, 1, 2, 2, 5, 0, 3], [0, 2, 0, 0, 1, 2, 3, 0, 7, 0], [0, 2, 0, 0, 1, 2, 3, 1, 5, 1], [0, 2, 0, 0, 1, 2, 3, 2, 3, 2], [0, 2, 0, 0, 1, 2, 3, 3, 1, 3], [0, 2, 0, 0, 1, 2, 4, 0, 4, 2], [0, 2, 0, 0, 1, 2, 4, 1, 2, 3], [0, 2, 0, 0, 1, 2, 4, 2, 0, 4], [0, 2, 0, 0, 1, 2, 5, 0, 1, 4], [0, 2, 0, 0, 1, 3, 0, 3, 6, 0], [0, 2, 0, 0, 1, 3, 0, 4, 4, 1], [0, 2, 0, 0, 1, 3, 0, 5, 2, 2], [0, 2, 0, 0, 1, 3, 0, 6, 0, 3], [0, 2, 0, 0, 1, 3, 1, 1, 7, 0], [0, 2, 0, 0, 1, 3, 1, 2, 5, 1], [0, 2, 0, 0, 1, 3, 1, 3, 3, 2], [0, 2, 0, 0, 1, 3, 1, 4, 1, 3], [0, 2, 0, 0, 1, 3, 2, 0, 6, 1], [0, 2, 0, 0, 1, 3, 2, 1, 4, 2], [0, 2, 0, 0, 1, 3, 2, 2, 2, 3], [0, 2, 0, 0, 1, 3, 2, 3, 0, 4], [0, 2, 0, 0, 1, 3, 3, 0, 3, 3], [0, 2, 0, 0, 1, 3, 3, 1, 1, 4], [0, 2, 0, 0, 1, 3, 4, 0, 0, 5], [0, 2, 0, 0, 1, 4, 0, 0, 8, 0], [0, 2, 0, 0, 1, 4, 0, 1, 6, 1], [0, 2, 0, 0, 1, 4, 0, 2, 4, 2], [0, 2, 0, 0, 1, 4, 0, 3, 2, 3], [0, 2, 0, 0, 1, 4, 0, 4, 0, 4], [0, 2, 0, 0, 1, 4, 1, 0, 5, 2], [0, 2, 0, 0, 1, 4, 1, 1, 3, 3], [0, 2, 0, 0, 1, 4, 1, 2, 1, 4], [0, 2, 0, 0, 1, 4, 2, 0, 2, 4], [0, 2, 0, 0, 1, 4, 2, 1, 0, 5], [0, 2, 0, 0, 1, 5, 0, 0, 4, 3], [0, 2, 0, 0, 1, 5, 0, 1, 2, 4], [0, 2, 0, 0, 1, 5, 0, 2, 0, 5], [0, 2, 0, 0, 1, 5, 1, 0, 1, 5], [0, 2, 0, 0, 1, 6, 0, 0, 0, 6], [0, 2, 0, 0, 2, 0, 0, 8, 3, 0], [0, 2, 0, 0, 2, 0, 0, 9, 1, 1], [0, 2, 0, 0, 2, 0, 1, 6, 4, 0], [0, 2, 0, 0, 2, 0, 1, 7, 2, 1], [0, 2, 0, 0, 2, 0, 1, 8, 0, 2], [0, 2, 0, 0, 2, 0, 2, 4, 5, 0], [0, 2, 0, 0, 2, 0, 2, 5, 3, 1], [0, 2, 0, 0, 2, 0, 2, 6, 1, 2], [0, 2, 0, 0, 2, 0, 3, 2, 6, 0], [0, 2, 0, 0, 2, 0, 3, 3, 4, 1], [0, 2, 0, 0, 2, 0, 3, 4, 2, 2], [0, 2, 0, 0, 2, 0, 3, 5, 0, 3], [0, 2, 0, 0, 2, 0, 4, 0, 7, 0], [0, 2, 0, 0, 2, 0, 4, 1, 5, 1], [0, 2, 0, 0, 2, 0, 4, 2, 3, 2], [0, 2, 0, 0, 2, 0, 4, 3, 1, 3], [0, 2, 0, 0, 2, 0, 5, 0, 4, 2], [0, 2, 0, 0, 2, 0, 5, 1, 2, 3], [0, 2, 0, 0, 2, 0, 5, 2, 0, 4], [0, 2, 0, 0, 2, 0, 6, 0, 1, 4], [0, 2, 0, 0, 2, 1, 0, 5, 5, 0], [0, 2, 0, 0, 2, 1, 0, 6, 3, 1], [0, 2, 0, 0, 2, 1, 0, 7, 1, 2], [0, 2, 0, 0, 2, 1, 1, 3, 6, 0], [0, 2, 0, 0, 2, 1, 1, 4, 4, 1], [0, 2, 0, 0, 2, 1, 1, 5, 2, 2], [0, 2, 0, 0, 2, 1, 1, 6, 0, 3], [0, 2, 0, 0, 2, 1, 2, 1, 7, 0], [0, 2, 0, 0, 2, 1, 2, 2, 5, 1], [0, 2, 0, 0, 2, 1, 2, 3, 3, 2], [0, 2, 0, 0, 2, 1, 2, 4, 1, 3], [0, 2, 0, 0, 2, 1, 3, 0, 6, 1], [0, 2, 0, 0, 2, 1, 3, 1, 4, 2], [0, 2, 0, 0, 2, 1, 3, 2, 2, 3], [0, 2, 0, 0, 2, 1, 3, 3, 0, 4], [0, 2, 0, 0, 2, 1, 4, 0, 3, 3], [0, 2, 0, 0, 2, 1, 4, 1, 1, 4], [0, 2, 0, 0, 2, 1, 5, 0, 0, 5], [0, 2, 0, 0, 2, 2, 0, 2, 7, 0], [0, 2, 0, 0, 2, 2, 0, 3, 5, 1], [0, 2, 0, 0, 2, 2, 0, 4, 3, 2], [0, 2, 0, 0, 2, 2, 0, 5, 1, 3], [0, 2, 0, 0, 2, 2, 1, 0, 8, 0], [0, 2, 0, 0, 2, 2, 1, 1, 6, 1], [0, 2, 0, 0, 2, 2, 1, 2, 4, 2], [0, 2, 0, 0, 2, 2, 1, 3, 2, 3], [0, 2, 0, 0, 2, 2, 1, 4, 0, 4], [0, 2, 0, 0, 2, 2, 2, 0, 5, 2], [0, 2, 0, 0, 2, 2, 2, 1, 3, 3], [0, 2, 0, 0, 2, 2, 2, 2, 1, 4], [0, 2, 0, 0, 2, 2, 3, 0, 2, 4], [0, 2, 0, 0, 2, 2, 3, 1, 0, 5], [0, 2, 0, 0, 2, 3, 0, 0, 7, 1], [0, 2, 0, 0, 2, 3, 0, 1, 5, 2], [0, 2, 0, 0, 2, 3, 0, 2, 3, 3], [0, 2, 0, 0, 2, 3, 0, 3, 1, 4], [0, 2, 0, 0, 2, 3, 1, 0, 4, 3], [0, 2, 0, 0, 2, 3, 1, 1, 2, 4], [0, 2, 0, 0, 2, 3, 1, 2, 0, 5], [0, 2, 0, 0, 2, 3, 2, 0, 1, 5], [0, 2, 0, 0, 2, 4, 0, 0, 3, 4], [0, 2, 0, 0, 2, 4, 0, 1, 1, 5], [0, 2, 0, 0, 2, 4, 1, 0, 0, 6], [0, 2, 0, 0, 3, 0, 0, 4, 6, 0], [0, 2, 0, 0, 3, 0, 0, 5, 4, 1], [0, 2, 0, 0, 3, 0, 0, 6, 2, 2], [0, 2, 0, 0, 3, 0, 0, 7, 0, 3], [0, 2, 0, 0, 3, 0, 1, 2, 7, 0], [0, 2, 0, 0, 3, 0, 1, 3, 5, 1], [0, 2, 0, 0, 3, 0, 1, 4, 3, 2], [0, 2, 0, 0, 3, 0, 1, 5, 1, 3], [0, 2, 0, 0, 3, 0, 2, 0, 8, 0], [0, 2, 0, 0, 3, 0, 2, 1, 6, 1], [0, 2, 0, 0, 3, 0, 2, 2, 4, 2], [0, 2, 0, 0, 3, 0, 2, 3, 2, 3], [0, 2, 0, 0, 3, 0, 2, 4, 0, 4], [0, 2, 0, 0, 3, 0, 3, 0, 5, 2], [0, 2, 0, 0, 3, 0, 3, 1, 3, 3], [0, 2, 0, 0, 3, 0, 3, 2, 1, 4], [0, 2, 0, 0, 3, 0, 4, 0, 2, 4], [0, 2, 0, 0, 3, 0, 4, 1, 0, 5], [0, 2, 0, 0, 3, 1, 0, 1, 8, 0], [0, 2, 0, 0, 3, 1, 0, 2, 6, 1], [0, 2, 0, 0, 3, 1, 0, 3, 4, 2], [0, 2, 0, 0, 3, 1, 0, 4, 2, 3], [0, 2, 0, 0, 3, 1, 0, 5, 0, 4], [0, 2, 0, 0, 3, 1, 1, 0, 7, 1], [0, 2, 0, 0, 3, 1, 1, 1, 5, 2], [0, 2, 0, 0, 3, 1, 1, 2, 3, 3], [0, 2, 0, 0, 3, 1, 1, 3, 1, 4], [0, 2, 0, 0, 3, 1, 2, 0, 4, 3], [0, 2, 0, 0, 3, 1, 2, 1, 2, 4], [0, 2, 0, 0, 3, 1, 2, 2, 0, 5], [0, 2, 0, 0, 3, 1, 3, 0, 1, 5], [0, 2, 0, 0, 3, 2, 0, 0, 6, 2], [0, 2, 0, 0, 3, 2, 0, 1, 4, 3], [0, 2, 0, 0, 3, 2, 0, 2, 2, 4], [0, 2, 0, 0, 3, 2, 0, 3, 0, 5], [0, 2, 0, 0, 3, 2, 1, 0, 3, 4], [0, 2, 0, 0, 3, 2, 1, 1, 1, 5], [0, 2, 0, 0, 3, 2, 2, 0, 0, 6], [0, 2, 0, 0, 3, 3, 0, 0, 2, 5], [0, 2, 0, 0, 3, 3, 0, 1, 0, 6], [0, 2, 0, 0, 4, 0, 0, 0, 9, 0], [0, 2, 0, 0, 4, 0, 0, 1, 7, 1], [0, 2, 0, 0, 4, 0, 0, 2, 5, 2], [0, 2, 0, 0, 4, 0, 0, 3, 3, 3], [0, 2, 0, 0, 4, 0, 0, 4, 1, 4], [0, 2, 0, 0, 4, 0, 1, 0, 6, 2], [0, 2, 0, 0, 4, 0, 1, 1, 4, 3], [0, 2, 0, 0, 4, 0, 1, 2, 2, 4], [0, 2, 0, 0, 4, 0, 1, 3, 0, 5], [0, 2, 0, 0, 4, 0, 2, 0, 3, 4], [0, 2, 0, 0, 4, 0, 2, 1, 1, 5], [0, 2, 0, 0, 4, 0, 3, 0, 0, 6], [0, 2, 0, 0, 4, 1, 0, 0, 5, 3], [0, 2, 0, 0, 4, 1, 0, 1, 3, 4], [0, 2, 0, 0, 4, 1, 0, 2, 1, 5], [0, 2, 0, 0, 4, 1, 1, 0, 2, 5], [0, 2, 0, 0, 4, 1, 1, 1, 0, 6], [0, 2, 0, 0, 4, 2, 0, 0, 1, 6], [0, 2, 0, 0, 5, 0, 0, 0, 4, 4], [0, 2, 0, 0, 5, 0, 0, 1, 2, 5], [0, 2, 0, 0, 5, 0, 0, 2, 0, 6], [0, 2, 0, 0, 5, 0, 1, 0, 1, 6], [0, 2, 0, 0, 5, 1, 0, 0, 0, 7], [0, 2, 0, 1, 0, 0, 0, 11, 1, 0], [0, 2, 0, 1, 0, 0, 1, 9, 2, 0], [0, 2, 0, 1, 0, 0, 1, 10, 0, 1], [0, 2, 0, 1, 0, 0, 2, 7, 3, 0], [0, 2, 0, 1, 0, 0, 2, 8, 1, 1], [0, 2, 0, 1, 0, 0, 3, 5, 4, 0], [0, 2, 0, 1, 0, 0, 3, 6, 2, 1], [0, 2, 0, 1, 0, 0, 3, 7, 0, 2], [0, 2, 0, 1, 0, 0, 4, 3, 5, 0], [0, 2, 0, 1, 0, 0, 4, 4, 3, 1], [0, 2, 0, 1, 0, 0, 4, 5, 1, 2], [0, 2, 0, 1, 0, 0, 5, 1, 6, 0], [0, 2, 0, 1, 0, 0, 5, 2, 4, 1], [0, 2, 0, 1, 0, 0, 5, 3, 2, 2], [0, 2, 0, 1, 0, 0, 5, 4, 0, 3], [0, 2, 0, 1, 0, 0, 6, 0, 5, 1], [0, 2, 0, 1, 0, 0, 6, 1, 3, 2], [0, 2, 0, 1, 0, 0, 6, 2, 1, 3], [0, 2, 0, 1, 0, 0, 7, 0, 2, 3], [0, 2, 0, 1, 0, 0, 7, 1, 0, 4], [0, 2, 0, 1, 0, 1, 0, 8, 3, 0], [0, 2, 0, 1, 0, 1, 0, 9, 1, 1], [0, 2, 0, 1, 0, 1, 1, 6, 4, 0], [0, 2, 0, 1, 0, 1, 1, 7, 2, 1], [0, 2, 0, 1, 0, 1, 1, 8, 0, 2], [0, 2, 0, 1, 0, 1, 2, 4, 5, 0], [0, 2, 0, 1, 0, 1, 2, 5, 3, 1], [0, 2, 0, 1, 0, 1, 2, 6, 1, 2], [0, 2, 0, 1, 0, 1, 3, 2, 6, 0], [0, 2, 0, 1, 0, 1, 3, 3, 4, 1], [0, 2, 0, 1, 0, 1, 3, 4, 2, 2], [0, 2, 0, 1, 0, 1, 3, 5, 0, 3], [0, 2, 0, 1, 0, 1, 4, 0, 7, 0], [0, 2, 0, 1, 0, 1, 4, 1, 5, 1], [0, 2, 0, 1, 0, 1, 4, 2, 3, 2], [0, 2, 0, 1, 0, 1, 4, 3, 1, 3], [0, 2, 0, 1, 0, 1, 5, 0, 4, 2], [0, 2, 0, 1, 0, 1, 5, 1, 2, 3], [0, 2, 0, 1, 0, 1, 5, 2, 0, 4], [0, 2, 0, 1, 0, 1, 6, 0, 1, 4], [0, 2, 0, 1, 0, 2, 0, 5, 5, 0], [0, 2, 0, 1, 0, 2, 0, 6, 3, 1], [0, 2, 0, 1, 0, 2, 0, 7, 1, 2], [0, 2, 0, 1, 0, 2, 1, 3, 6, 0], [0, 2, 0, 1, 0, 2, 1, 4, 4, 1], [0, 2, 0, 1, 0, 2, 1, 5, 2, 2], [0, 2, 0, 1, 0, 2, 1, 6, 0, 3], [0, 2, 0, 1, 0, 2, 2, 1, 7, 0], [0, 2, 0, 1, 0, 2, 2, 2, 5, 1], [0, 2, 0, 1, 0, 2, 2, 3, 3, 2], [0, 2, 0, 1, 0, 2, 2, 4, 1, 3], [0, 2, 0, 1, 0, 2, 3, 0, 6, 1], [0, 2, 0, 1, 0, 2, 3, 1, 4, 2], [0, 2, 0, 1, 0, 2, 3, 2, 2, 3], [0, 2, 0, 1, 0, 2, 3, 3, 0, 4], [0, 2, 0, 1, 0, 2, 4, 0, 3, 3], [0, 2, 0, 1, 0, 2, 4, 1, 1, 4], [0, 2, 0, 1, 0, 2, 5, 0, 0, 5], [0, 2, 0, 1, 0, 3, 0, 2, 7, 0], [0, 2, 0, 1, 0, 3, 0, 3, 5, 1], [0, 2, 0, 1, 0, 3, 0, 4, 3, 2], [0, 2, 0, 1, 0, 3, 0, 5, 1, 3], [0, 2, 0, 1, 0, 3, 1, 0, 8, 0], [0, 2, 0, 1, 0, 3, 1, 1, 6, 1], [0, 2, 0, 1, 0, 3, 1, 2, 4, 2], [0, 2, 0, 1, 0, 3, 1, 3, 2, 3], [0, 2, 0, 1, 0, 3, 1, 4, 0, 4], [0, 2, 0, 1, 0, 3, 2, 0, 5, 2], [0, 2, 0, 1, 0, 3, 2, 1, 3, 3], [0, 2, 0, 1, 0, 3, 2, 2, 1, 4], [0, 2, 0, 1, 0, 3, 3, 0, 2, 4], [0, 2, 0, 1, 0, 3, 3, 1, 0, 5], [0, 2, 0, 1, 0, 4, 0, 0, 7, 1], [0, 2, 0, 1, 0, 4, 0, 1, 5, 2], [0, 2, 0, 1, 0, 4, 0, 2, 3, 3], [0, 2, 0, 1, 0, 4, 0, 3, 1, 4], [0, 2, 0, 1, 0, 4, 1, 0, 4, 3], [0, 2, 0, 1, 0, 4, 1, 1, 2, 4], [0, 2, 0, 1, 0, 4, 1, 2, 0, 5], [0, 2, 0, 1, 0, 4, 2, 0, 1, 5], [0, 2, 0, 1, 0, 5, 0, 0, 3, 4], [0, 2, 0, 1, 0, 5, 0, 1, 1, 5], [0, 2, 0, 1, 0, 5, 1, 0, 0, 6], [0, 2, 0, 1, 1, 0, 0, 7, 4, 0], [0, 2, 0, 1, 1, 0, 0, 8, 2, 1], [0, 2, 0, 1, 1, 0, 0, 9, 0, 2], [0, 2, 0, 1, 1, 0, 1, 5, 5, 0], [0, 2, 0, 1, 1, 0, 1, 6, 3, 1], [0, 2, 0, 1, 1, 0, 1, 7, 1, 2], [0, 2, 0, 1, 1, 0, 2, 3, 6, 0], [0, 2, 0, 1, 1, 0, 2, 4, 4, 1], [0, 2, 0, 1, 1, 0, 2, 5, 2, 2], [0, 2, 0, 1, 1, 0, 2, 6, 0, 3], [0, 2, 0, 1, 1, 0, 3, 1, 7, 0], [0, 2, 0, 1, 1, 0, 3, 2, 5, 1], [0, 2, 0, 1, 1, 0, 3, 3, 3, 2], [0, 2, 0, 1, 1, 0, 3, 4, 1, 3], [0, 2, 0, 1, 1, 0, 4, 0, 6, 1], [0, 2, 0, 1, 1, 0, 4, 1, 4, 2], [0, 2, 0, 1, 1, 0, 4, 2, 2, 3], [0, 2, 0, 1, 1, 0, 4, 3, 0, 4], [0, 2, 0, 1, 1, 0, 5, 0, 3, 3], [0, 2, 0, 1, 1, 0, 5, 1, 1, 4], [0, 2, 0, 1, 1, 0, 6, 0, 0, 5], [0, 2, 0, 1, 1, 1, 0, 4, 6, 0], [0, 2, 0, 1, 1, 1, 0, 5, 4, 1], [0, 2, 0, 1, 1, 1, 0, 6, 2, 2], [0, 2, 0, 1, 1, 1, 0, 7, 0, 3], [0, 2, 0, 1, 1, 1, 1, 2, 7, 0], [0, 2, 0, 1, 1, 1, 1, 3, 5, 1], [0, 2, 0, 1, 1, 1, 1, 4, 3, 2], [0, 2, 0, 1, 1, 1, 1, 5, 1, 3], [0, 2, 0, 1, 1, 1, 2, 0, 8, 0], [0, 2, 0, 1, 1, 1, 2, 1, 6, 1], [0, 2, 0, 1, 1, 1, 2, 2, 4, 2], [0, 2, 0, 1, 1, 1, 2, 3, 2, 3], [0, 2, 0, 1, 1, 1, 2, 4, 0, 4], [0, 2, 0, 1, 1, 1, 3, 0, 5, 2], [0, 2, 0, 1, 1, 1, 3, 1, 3, 3], [0, 2, 0, 1, 1, 1, 3, 2, 1, 4], [0, 2, 0, 1, 1, 1, 4, 0, 2, 4], [0, 2, 0, 1, 1, 1, 4, 1, 0, 5], [0, 2, 0, 1, 1, 2, 0, 1, 8, 0], [0, 2, 0, 1, 1, 2, 0, 2, 6, 1], [0, 2, 0, 1, 1, 2, 0, 3, 4, 2], [0, 2, 0, 1, 1, 2, 0, 4, 2, 3], [0, 2, 0, 1, 1, 2, 0, 5, 0, 4], [0, 2, 0, 1, 1, 2, 1, 0, 7, 1], [0, 2, 0, 1, 1, 2, 1, 1, 5, 2], [0, 2, 0, 1, 1, 2, 1, 2, 3, 3], [0, 2, 0, 1, 1, 2, 1, 3, 1, 4], [0, 2, 0, 1, 1, 2, 2, 0, 4, 3], [0, 2, 0, 1, 1, 2, 2, 1, 2, 4], [0, 2, 0, 1, 1, 2, 2, 2, 0, 5], [0, 2, 0, 1, 1, 2, 3, 0, 1, 5], [0, 2, 0, 1, 1, 3, 0, 0, 6, 2], [0, 2, 0, 1, 1, 3, 0, 1, 4, 3], [0, 2, 0, 1, 1, 3, 0, 2, 2, 4], [0, 2, 0, 1, 1, 3, 0, 3, 0, 5], [0, 2, 0, 1, 1, 3, 1, 0, 3, 4], [0, 2, 0, 1, 1, 3, 1, 1, 1, 5], [0, 2, 0, 1, 1, 3, 2, 0, 0, 6], [0, 2, 0, 1, 1, 4, 0, 0, 2, 5], [0, 2, 0, 1, 1, 4, 0, 1, 0, 6], [0, 2, 0, 1, 2, 0, 0, 3, 7, 0], [0, 2, 0, 1, 2, 0, 0, 4, 5, 1], [0, 2, 0, 1, 2, 0, 0, 5, 3, 2], [0, 2, 0, 1, 2, 0, 0, 6, 1, 3], [0, 2, 0, 1, 2, 0, 1, 1, 8, 0], [0, 2, 0, 1, 2, 0, 1, 2, 6, 1], [0, 2, 0, 1, 2, 0, 1, 3, 4, 2], [0, 2, 0, 1, 2, 0, 1, 4, 2, 3], [0, 2, 0, 1, 2, 0, 1, 5, 0, 4], [0, 2, 0, 1, 2, 0, 2, 0, 7, 1], [0, 2, 0, 1, 2, 0, 2, 1, 5, 2], [0, 2, 0, 1, 2, 0, 2, 2, 3, 3], [0, 2, 0, 1, 2, 0, 2, 3, 1, 4], [0, 2, 0, 1, 2, 0, 3, 0, 4, 3], [0, 2, 0, 1, 2, 0, 3, 1, 2, 4], [0, 2, 0, 1, 2, 0, 3, 2, 0, 5], [0, 2, 0, 1, 2, 0, 4, 0, 1, 5], [0, 2, 0, 1, 2, 1, 0, 0, 9, 0], [0, 2, 0, 1, 2, 1, 0, 1, 7, 1], [0, 2, 0, 1, 2, 1, 0, 2, 5, 2], [0, 2, 0, 1, 2, 1, 0, 3, 3, 3], [0, 2, 0, 1, 2, 1, 0, 4, 1, 4], [0, 2, 0, 1, 2, 1, 1, 0, 6, 2], [0, 2, 0, 1, 2, 1, 1, 1, 4, 3], [0, 2, 0, 1, 2, 1, 1, 2, 2, 4], [0, 2, 0, 1, 2, 1, 1, 3, 0, 5], [0, 2, 0, 1, 2, 1, 2, 0, 3, 4], [0, 2, 0, 1, 2, 1, 2, 1, 1, 5], [0, 2, 0, 1, 2, 1, 3, 0, 0, 6], [0, 2, 0, 1, 2, 2, 0, 0, 5, 3], [0, 2, 0, 1, 2, 2, 0, 1, 3, 4], [0, 2, 0, 1, 2, 2, 0, 2, 1, 5], [0, 2, 0, 1, 2, 2, 1, 0, 2, 5], [0, 2, 0, 1, 2, 2, 1, 1, 0, 6], [0, 2, 0, 1, 2, 3, 0, 0, 1, 6], [0, 2, 0, 1, 3, 0, 0, 0, 8, 1], [0, 2, 0, 1, 3, 0, 0, 1, 6, 2], [0, 2, 0, 1, 3, 0, 0, 2, 4, 3], [0, 2, 0, 1, 3, 0, 0, 3, 2, 4], [0, 2, 0, 1, 3, 0, 0, 4, 0, 5], [0, 2, 0, 1, 3, 0, 1, 0, 5, 3], [0, 2, 0, 1, 3, 0, 1, 1, 3, 4], [0, 2, 0, 1, 3, 0, 1, 2, 1, 5], [0, 2, 0, 1, 3, 0, 2, 0, 2, 5], [0, 2, 0, 1, 3, 0, 2, 1, 0, 6], [0, 2, 0, 1, 3, 1, 0, 0, 4, 4], [0, 2, 0, 1, 3, 1, 0, 1, 2, 5], [0, 2, 0, 1, 3, 1, 0, 2, 0, 6], [0, 2, 0, 1, 3, 1, 1, 0, 1, 6], [0, 2, 0, 1, 3, 2, 0, 0, 0, 7], [0, 2, 0, 1, 4, 0, 0, 0, 3, 5], [0, 2, 0, 1, 4, 0, 0, 1, 1, 6], [0, 2, 0, 1, 4, 0, 1, 0, 0, 7], [0, 2, 0, 2, 0, 0, 0, 6, 5, 0], [0, 2, 0, 2, 0, 0, 0, 7, 3, 1], [0, 2, 0, 2, 0, 0, 0, 8, 1, 2], [0, 2, 0, 2, 0, 0, 1, 4, 6, 0], [0, 2, 0, 2, 0, 0, 1, 5, 4, 1], [0, 2, 0, 2, 0, 0, 1, 6, 2, 2], [0, 2, 0, 2, 0, 0, 1, 7, 0, 3], [0, 2, 0, 2, 0, 0, 2, 2, 7, 0], [0, 2, 0, 2, 0, 0, 2, 3, 5, 1], [0, 2, 0, 2, 0, 0, 2, 4, 3, 2], [0, 2, 0, 2, 0, 0, 2, 5, 1, 3], [0, 2, 0, 2, 0, 0, 3, 0, 8, 0], [0, 2, 0, 2, 0, 0, 3, 1, 6, 1], [0, 2, 0, 2, 0, 0, 3, 2, 4, 2], [0, 2, 0, 2, 0, 0, 3, 3, 2, 3], [0, 2, 0, 2, 0, 0, 3, 4, 0, 4], [0, 2, 0, 2, 0, 0, 4, 0, 5, 2], [0, 2, 0, 2, 0, 0, 4, 1, 3, 3], [0, 2, 0, 2, 0, 0, 4, 2, 1, 4], [0, 2, 0, 2, 0, 0, 5, 0, 2, 4], [0, 2, 0, 2, 0, 0, 5, 1, 0, 5], [0, 2, 0, 2, 0, 1, 0, 3, 7, 0], [0, 2, 0, 2, 0, 1, 0, 4, 5, 1], [0, 2, 0, 2, 0, 1, 0, 5, 3, 2], [0, 2, 0, 2, 0, 1, 0, 6, 1, 3], [0, 2, 0, 2, 0, 1, 1, 1, 8, 0], [0, 2, 0, 2, 0, 1, 1, 2, 6, 1], [0, 2, 0, 2, 0, 1, 1, 3, 4, 2], [0, 2, 0, 2, 0, 1, 1, 4, 2, 3], [0, 2, 0, 2, 0, 1, 1, 5, 0, 4], [0, 2, 0, 2, 0, 1, 2, 0, 7, 1], [0, 2, 0, 2, 0, 1, 2, 1, 5, 2], [0, 2, 0, 2, 0, 1, 2, 2, 3, 3], [0, 2, 0, 2, 0, 1, 2, 3, 1, 4], [0, 2, 0, 2, 0, 1, 3, 0, 4, 3], [0, 2, 0, 2, 0, 1, 3, 1, 2, 4], [0, 2, 0, 2, 0, 1, 3, 2, 0, 5], [0, 2, 0, 2, 0, 1, 4, 0, 1, 5], [0, 2, 0, 2, 0, 2, 0, 0, 9, 0], [0, 2, 0, 2, 0, 2, 0, 1, 7, 1], [0, 2, 0, 2, 0, 2, 0, 2, 5, 2], [0, 2, 0, 2, 0, 2, 0, 3, 3, 3], [0, 2, 0, 2, 0, 2, 0, 4, 1, 4], [0, 2, 0, 2, 0, 2, 1, 0, 6, 2], [0, 2, 0, 2, 0, 2, 1, 1, 4, 3], [0, 2, 0, 2, 0, 2, 1, 2, 2, 4], [0, 2, 0, 2, 0, 2, 1, 3, 0, 5], [0, 2, 0, 2, 0, 2, 2, 0, 3, 4], [0, 2, 0, 2, 0, 2, 2, 1, 1, 5], [0, 2, 0, 2, 0, 2, 3, 0, 0, 6], [0, 2, 0, 2, 0, 3, 0, 0, 5, 3], [0, 2, 0, 2, 0, 3, 0, 1, 3, 4], [0, 2, 0, 2, 0, 3, 0, 2, 1, 5], [0, 2, 0, 2, 0, 3, 1, 0, 2, 5], [0, 2, 0, 2, 0, 3, 1, 1, 0, 6], [0, 2, 0, 2, 0, 4, 0, 0, 1, 6], [0, 2, 0, 2, 1, 0, 0, 2, 8, 0], [0, 2, 0, 2, 1, 0, 0, 3, 6, 1], [0, 2, 0, 2, 1, 0, 0, 4, 4, 2], [0, 2, 0, 2, 1, 0, 0, 5, 2, 3], [0, 2, 0, 2, 1, 0, 0, 6, 0, 4], [0, 2, 0, 2, 1, 0, 1, 0, 9, 0], [0, 2, 0, 2, 1, 0, 1, 1, 7, 1], [0, 2, 0, 2, 1, 0, 1, 2, 5, 2], [0, 2, 0, 2, 1, 0, 1, 3, 3, 3], [0, 2, 0, 2, 1, 0, 1, 4, 1, 4], [0, 2, 0, 2, 1, 0, 2, 0, 6, 2], [0, 2, 0, 2, 1, 0, 2, 1, 4, 3], [0, 2, 0, 2, 1, 0, 2, 2, 2, 4], [0, 2, 0, 2, 1, 0, 2, 3, 0, 5], [0, 2, 0, 2, 1, 0, 3, 0, 3, 4], [0, 2, 0, 2, 1, 0, 3, 1, 1, 5], [0, 2, 0, 2, 1, 0, 4, 0, 0, 6], [0, 2, 0, 2, 1, 1, 0, 0, 8, 1], [0, 2, 0, 2, 1, 1, 0, 1, 6, 2], [0, 2, 0, 2, 1, 1, 0, 2, 4, 3], [0, 2, 0, 2, 1, 1, 0, 3, 2, 4], [0, 2, 0, 2, 1, 1, 0, 4, 0, 5], [0, 2, 0, 2, 1, 1, 1, 0, 5, 3], [0, 2, 0, 2, 1, 1, 1, 1, 3, 4], [0, 2, 0, 2, 1, 1, 1, 2, 1, 5], [0, 2, 0, 2, 1, 1, 2, 0, 2, 5], [0, 2, 0, 2, 1, 1, 2, 1, 0, 6], [0, 2, 0, 2, 1, 2, 0, 0, 4, 4], [0, 2, 0, 2, 1, 2, 0, 1, 2, 5], [0, 2, 0, 2, 1, 2, 0, 2, 0, 6], [0, 2, 0, 2, 1, 2, 1, 0, 1, 6], [0, 2, 0, 2, 1, 3, 0, 0, 0, 7], [0, 2, 0, 2, 2, 0, 0, 0, 7, 2], [0, 2, 0, 2, 2, 0, 0, 1, 5, 3], [0, 2, 0, 2, 2, 0, 0, 2, 3, 4], [0, 2, 0, 2, 2, 0, 0, 3, 1, 5], [0, 2, 0, 2, 2, 0, 1, 0, 4, 4], [0, 2, 0, 2, 2, 0, 1, 1, 2, 5], [0, 2, 0, 2, 2, 0, 1, 2, 0, 6], [0, 2, 0, 2, 2, 0, 2, 0, 1, 6], [0, 2, 0, 2, 2, 1, 0, 0, 3, 5], [0, 2, 0, 2, 2, 1, 0, 1, 1, 6], [0, 2, 0, 2, 2, 1, 1, 0, 0, 7], [0, 2, 0, 2, 3, 0, 0, 0, 2, 6], [0, 2, 0, 2, 3, 0, 0, 1, 0, 7], [0, 2, 0, 3, 0, 0, 0, 1, 9, 0], [0, 2, 0, 3, 0, 0, 0, 2, 7, 1], [0, 2, 0, 3, 0, 0, 0, 3, 5, 2], [0, 2, 0, 3, 0, 0, 0, 4, 3, 3], [0, 2, 0, 3, 0, 0, 0, 5, 1, 4], [0, 2, 0, 3, 0, 0, 1, 0, 8, 1], [0, 2, 0, 3, 0, 0, 1, 1, 6, 2], [0, 2, 0, 3, 0, 0, 1, 2, 4, 3], [0, 2, 0, 3, 0, 0, 1, 3, 2, 4], [0, 2, 0, 3, 0, 0, 1, 4, 0, 5], [0, 2, 0, 3, 0, 0, 2, 0, 5, 3], [0, 2, 0, 3, 0, 0, 2, 1, 3, 4], [0, 2, 0, 3, 0, 0, 2, 2, 1, 5], [0, 2, 0, 3, 0, 0, 3, 0, 2, 5], [0, 2, 0, 3, 0, 0, 3, 1, 0, 6], [0, 2, 0, 3, 0, 1, 0, 0, 7, 2], [0, 2, 0, 3, 0, 1, 0, 1, 5, 3], [0, 2, 0, 3, 0, 1, 0, 2, 3, 4], [0, 2, 0, 3, 0, 1, 0, 3, 1, 5], [0, 2, 0, 3, 0, 1, 1, 0, 4, 4], [0, 2, 0, 3, 0, 1, 1, 1, 2, 5], [0, 2, 0, 3, 0, 1, 1, 2, 0, 6], [0, 2, 0, 3, 0, 1, 2, 0, 1, 6], [0, 2, 0, 3, 0, 2, 0, 0, 3, 5], [0, 2, 0, 3, 0, 2, 0, 1, 1, 6], [0, 2, 0, 3, 0, 2, 1, 0, 0, 7], [0, 2, 0, 3, 1, 0, 0, 0, 6, 3], [0, 2, 0, 3, 1, 0, 0, 1, 4, 4], [0, 2, 0, 3, 1, 0, 0, 2, 2, 5], [0, 2, 0, 3, 1, 0, 0, 3, 0, 6], [0, 2, 0, 3, 1, 0, 1, 0, 3, 5], [0, 2, 0, 3, 1, 0, 1, 1, 1, 6], [0, 2, 0, 3, 1, 0, 2, 0, 0, 7], [0, 2, 0, 3, 1, 1, 0, 0, 2, 6], [0, 2, 0, 3, 1, 1, 0, 1, 0, 7], [0, 2, 0, 3, 2, 0, 0, 0, 1, 7], [0, 2, 0, 4, 0, 0, 0, 0, 5, 4], [0, 2, 0, 4, 0, 0, 0, 1, 3, 5], [0, 2, 0, 4, 0, 0, 0, 2, 1, 6], [0, 2, 0, 4, 0, 0, 1, 0, 2, 6], [0, 2, 0, 4, 0, 0, 1, 1, 0, 7], [0, 2, 0, 4, 0, 1, 0, 0, 1, 7], [0, 2, 0, 4, 1, 0, 0, 0, 0, 8], [0, 2, 1, 0, 0, 0, 0, 10, 2, 0], [0, 2, 1, 0, 0, 0, 0, 11, 0, 1], [0, 2, 1, 0, 0, 0, 1, 8, 3, 0], [0, 2, 1, 0, 0, 0, 1, 9, 1, 1], [0, 2, 1, 0, 0, 0, 2, 6, 4, 0], [0, 2, 1, 0, 0, 0, 2, 7, 2, 1], [0, 2, 1, 0, 0, 0, 2, 8, 0, 2], [0, 2, 1, 0, 0, 0, 3, 4, 5, 0], [0, 2, 1, 0, 0, 0, 3, 5, 3, 1], [0, 2, 1, 0, 0, 0, 3, 6, 1, 2], [0, 2, 1, 0, 0, 0, 4, 2, 6, 0], [0, 2, 1, 0, 0, 0, 4, 3, 4, 1], [0, 2, 1, 0, 0, 0, 4, 4, 2, 2], [0, 2, 1, 0, 0, 0, 4, 5, 0, 3], [0, 2, 1, 0, 0, 0, 5, 0, 7, 0], [0, 2, 1, 0, 0, 0, 5, 1, 5, 1], [0, 2, 1, 0, 0, 0, 5, 2, 3, 2], [0, 2, 1, 0, 0, 0, 5, 3, 1, 3], [0, 2, 1, 0, 0, 0, 6, 0, 4, 2], [0, 2, 1, 0, 0, 0, 6, 1, 2, 3], [0, 2, 1, 0, 0, 0, 6, 2, 0, 4], [0, 2, 1, 0, 0, 0, 7, 0, 1, 4], [0, 2, 1, 0, 0, 1, 0, 7, 4, 0], [0, 2, 1, 0, 0, 1, 0, 8, 2, 1], [0, 2, 1, 0, 0, 1, 0, 9, 0, 2], [0, 2, 1, 0, 0, 1, 1, 5, 5, 0], [0, 2, 1, 0, 0, 1, 1, 6, 3, 1], [0, 2, 1, 0, 0, 1, 1, 7, 1, 2], [0, 2, 1, 0, 0, 1, 2, 3, 6, 0], [0, 2, 1, 0, 0, 1, 2, 4, 4, 1], [0, 2, 1, 0, 0, 1, 2, 5, 2, 2], [0, 2, 1, 0, 0, 1, 2, 6, 0, 3], [0, 2, 1, 0, 0, 1, 3, 1, 7, 0], [0, 2, 1, 0, 0, 1, 3, 2, 5, 1], [0, 2, 1, 0, 0, 1, 3, 3, 3, 2], [0, 2, 1, 0, 0, 1, 3, 4, 1, 3], [0, 2, 1, 0, 0, 1, 4, 0, 6, 1], [0, 2, 1, 0, 0, 1, 4, 1, 4, 2], [0, 2, 1, 0, 0, 1, 4, 2, 2, 3], [0, 2, 1, 0, 0, 1, 4, 3, 0, 4], [0, 2, 1, 0, 0, 1, 5, 0, 3, 3], [0, 2, 1, 0, 0, 1, 5, 1, 1, 4], [0, 2, 1, 0, 0, 1, 6, 0, 0, 5], [0, 2, 1, 0, 0, 2, 0, 4, 6, 0], [0, 2, 1, 0, 0, 2, 0, 5, 4, 1], [0, 2, 1, 0, 0, 2, 0, 6, 2, 2], [0, 2, 1, 0, 0, 2, 0, 7, 0, 3], [0, 2, 1, 0, 0, 2, 1, 2, 7, 0], [0, 2, 1, 0, 0, 2, 1, 3, 5, 1], [0, 2, 1, 0, 0, 2, 1, 4, 3, 2], [0, 2, 1, 0, 0, 2, 1, 5, 1, 3], [0, 2, 1, 0, 0, 2, 2, 0, 8, 0], [0, 2, 1, 0, 0, 2, 2, 1, 6, 1], [0, 2, 1, 0, 0, 2, 2, 2, 4, 2], [0, 2, 1, 0, 0, 2, 2, 3, 2, 3], [0, 2, 1, 0, 0, 2, 2, 4, 0, 4], [0, 2, 1, 0, 0, 2, 3, 0, 5, 2], [0, 2, 1, 0, 0, 2, 3, 1, 3, 3], [0, 2, 1, 0, 0, 2, 3, 2, 1, 4], [0, 2, 1, 0, 0, 2, 4, 0, 2, 4], [0, 2, 1, 0, 0, 2, 4, 1, 0, 5], [0, 2, 1, 0, 0, 3, 0, 1, 8, 0], [0, 2, 1, 0, 0, 3, 0, 2, 6, 1], [0, 2, 1, 0, 0, 3, 0, 3, 4, 2], [0, 2, 1, 0, 0, 3, 0, 4, 2, 3], [0, 2, 1, 0, 0, 3, 0, 5, 0, 4], [0, 2, 1, 0, 0, 3, 1, 0, 7, 1], [0, 2, 1, 0, 0, 3, 1, 1, 5, 2], [0, 2, 1, 0, 0, 3, 1, 2, 3, 3], [0, 2, 1, 0, 0, 3, 1, 3, 1, 4], [0, 2, 1, 0, 0, 3, 2, 0, 4, 3], [0, 2, 1, 0, 0, 3, 2, 1, 2, 4], [0, 2, 1, 0, 0, 3, 2, 2, 0, 5], [0, 2, 1, 0, 0, 3, 3, 0, 1, 5], [0, 2, 1, 0, 0, 4, 0, 0, 6, 2], [0, 2, 1, 0, 0, 4, 0, 1, 4, 3], [0, 2, 1, 0, 0, 4, 0, 2, 2, 4], [0, 2, 1, 0, 0, 4, 0, 3, 0, 5], [0, 2, 1, 0, 0, 4, 1, 0, 3, 4], [0, 2, 1, 0, 0, 4, 1, 1, 1, 5], [0, 2, 1, 0, 0, 4, 2, 0, 0, 6], [0, 2, 1, 0, 0, 5, 0, 0, 2, 5], [0, 2, 1, 0, 0, 5, 0, 1, 0, 6], [0, 2, 1, 0, 1, 0, 0, 6, 5, 0], [0, 2, 1, 0, 1, 0, 0, 7, 3, 1], [0, 2, 1, 0, 1, 0, 0, 8, 1, 2], [0, 2, 1, 0, 1, 0, 1, 4, 6, 0], [0, 2, 1, 0, 1, 0, 1, 5, 4, 1], [0, 2, 1, 0, 1, 0, 1, 6, 2, 2], [0, 2, 1, 0, 1, 0, 1, 7, 0, 3], [0, 2, 1, 0, 1, 0, 2, 2, 7, 0], [0, 2, 1, 0, 1, 0, 2, 3, 5, 1], [0, 2, 1, 0, 1, 0, 2, 4, 3, 2], [0, 2, 1, 0, 1, 0, 2, 5, 1, 3], [0, 2, 1, 0, 1, 0, 3, 0, 8, 0], [0, 2, 1, 0, 1, 0, 3, 1, 6, 1], [0, 2, 1, 0, 1, 0, 3, 2, 4, 2], [0, 2, 1, 0, 1, 0, 3, 3, 2, 3], [0, 2, 1, 0, 1, 0, 3, 4, 0, 4], [0, 2, 1, 0, 1, 0, 4, 0, 5, 2], [0, 2, 1, 0, 1, 0, 4, 1, 3, 3], [0, 2, 1, 0, 1, 0, 4, 2, 1, 4], [0, 2, 1, 0, 1, 0, 5, 0, 2, 4], [0, 2, 1, 0, 1, 0, 5, 1, 0, 5], [0, 2, 1, 0, 1, 1, 0, 3, 7, 0], [0, 2, 1, 0, 1, 1, 0, 4, 5, 1], [0, 2, 1, 0, 1, 1, 0, 5, 3, 2], [0, 2, 1, 0, 1, 1, 0, 6, 1, 3], [0, 2, 1, 0, 1, 1, 1, 1, 8, 0], [0, 2, 1, 0, 1, 1, 1, 2, 6, 1], [0, 2, 1, 0, 1, 1, 1, 3, 4, 2], [0, 2, 1, 0, 1, 1, 1, 4, 2, 3], [0, 2, 1, 0, 1, 1, 1, 5, 0, 4], [0, 2, 1, 0, 1, 1, 2, 0, 7, 1], [0, 2, 1, 0, 1, 1, 2, 1, 5, 2], [0, 2, 1, 0, 1, 1, 2, 2, 3, 3], [0, 2, 1, 0, 1, 1, 2, 3, 1, 4], [0, 2, 1, 0, 1, 1, 3, 0, 4, 3], [0, 2, 1, 0, 1, 1, 3, 1, 2, 4], [0, 2, 1, 0, 1, 1, 3, 2, 0, 5], [0, 2, 1, 0, 1, 1, 4, 0, 1, 5], [0, 2, 1, 0, 1, 2, 0, 0, 9, 0], [0, 2, 1, 0, 1, 2, 0, 1, 7, 1], [0, 2, 1, 0, 1, 2, 0, 2, 5, 2], [0, 2, 1, 0, 1, 2, 0, 3, 3, 3], [0, 2, 1, 0, 1, 2, 0, 4, 1, 4], [0, 2, 1, 0, 1, 2, 1, 0, 6, 2], [0, 2, 1, 0, 1, 2, 1, 1, 4, 3], [0, 2, 1, 0, 1, 2, 1, 2, 2, 4], [0, 2, 1, 0, 1, 2, 1, 3, 0, 5], [0, 2, 1, 0, 1, 2, 2, 0, 3, 4], [0, 2, 1, 0, 1, 2, 2, 1, 1, 5], [0, 2, 1, 0, 1, 2, 3, 0, 0, 6], [0, 2, 1, 0, 1, 3, 0, 0, 5, 3], [0, 2, 1, 0, 1, 3, 0, 1, 3, 4], [0, 2, 1, 0, 1, 3, 0, 2, 1, 5], [0, 2, 1, 0, 1, 3, 1, 0, 2, 5], [0, 2, 1, 0, 1, 3, 1, 1, 0, 6], [0, 2, 1, 0, 1, 4, 0, 0, 1, 6], [0, 2, 1, 0, 2, 0, 0, 2, 8, 0], [0, 2, 1, 0, 2, 0, 0, 3, 6, 1], [0, 2, 1, 0, 2, 0, 0, 4, 4, 2], [0, 2, 1, 0, 2, 0, 0, 5, 2, 3], [0, 2, 1, 0, 2, 0, 0, 6, 0, 4], [0, 2, 1, 0, 2, 0, 1, 0, 9, 0], [0, 2, 1, 0, 2, 0, 1, 1, 7, 1], [0, 2, 1, 0, 2, 0, 1, 2, 5, 2], [0, 2, 1, 0, 2, 0, 1, 3, 3, 3], [0, 2, 1, 0, 2, 0, 1, 4, 1, 4], [0, 2, 1, 0, 2, 0, 2, 0, 6, 2], [0, 2, 1, 0, 2, 0, 2, 1, 4, 3], [0, 2, 1, 0, 2, 0, 2, 2, 2, 4], [0, 2, 1, 0, 2, 0, 2, 3, 0, 5], [0, 2, 1, 0, 2, 0, 3, 0, 3, 4], [0, 2, 1, 0, 2, 0, 3, 1, 1, 5], [0, 2, 1, 0, 2, 0, 4, 0, 0, 6], [0, 2, 1, 0, 2, 1, 0, 0, 8, 1], [0, 2, 1, 0, 2, 1, 0, 1, 6, 2], [0, 2, 1, 0, 2, 1, 0, 2, 4, 3], [0, 2, 1, 0, 2, 1, 0, 3, 2, 4], [0, 2, 1, 0, 2, 1, 0, 4, 0, 5], [0, 2, 1, 0, 2, 1, 1, 0, 5, 3], [0, 2, 1, 0, 2, 1, 1, 1, 3, 4], [0, 2, 1, 0, 2, 1, 1, 2, 1, 5], [0, 2, 1, 0, 2, 1, 2, 0, 2, 5], [0, 2, 1, 0, 2, 1, 2, 1, 0, 6], [0, 2, 1, 0, 2, 2, 0, 0, 4, 4], [0, 2, 1, 0, 2, 2, 0, 1, 2, 5], [0, 2, 1, 0, 2, 2, 0, 2, 0, 6], [0, 2, 1, 0, 2, 2, 1, 0, 1, 6], [0, 2, 1, 0, 2, 3, 0, 0, 0, 7], [0, 2, 1, 0, 3, 0, 0, 0, 7, 2], [0, 2, 1, 0, 3, 0, 0, 1, 5, 3], [0, 2, 1, 0, 3, 0, 0, 2, 3, 4], [0, 2, 1, 0, 3, 0, 0, 3, 1, 5], [0, 2, 1, 0, 3, 0, 1, 0, 4, 4], [0, 2, 1, 0, 3, 0, 1, 1, 2, 5], [0, 2, 1, 0, 3, 0, 1, 2, 0, 6], [0, 2, 1, 0, 3, 0, 2, 0, 1, 6], [0, 2, 1, 0, 3, 1, 0, 0, 3, 5], [0, 2, 1, 0, 3, 1, 0, 1, 1, 6], [0, 2, 1, 0, 3, 1, 1, 0, 0, 7], [0, 2, 1, 0, 4, 0, 0, 0, 2, 6], [0, 2, 1, 0, 4, 0, 0, 1, 0, 7], [0, 2, 1, 1, 0, 0, 0, 5, 6, 0], [0, 2, 1, 1, 0, 0, 0, 6, 4, 1], [0, 2, 1, 1, 0, 0, 0, 7, 2, 2], [0, 2, 1, 1, 0, 0, 0, 8, 0, 3], [0, 2, 1, 1, 0, 0, 1, 3, 7, 0], [0, 2, 1, 1, 0, 0, 1, 4, 5, 1], [0, 2, 1, 1, 0, 0, 1, 5, 3, 2], [0, 2, 1, 1, 0, 0, 1, 6, 1, 3], [0, 2, 1, 1, 0, 0, 2, 1, 8, 0], [0, 2, 1, 1, 0, 0, 2, 2, 6, 1], [0, 2, 1, 1, 0, 0, 2, 3, 4, 2], [0, 2, 1, 1, 0, 0, 2, 4, 2, 3], [0, 2, 1, 1, 0, 0, 2, 5, 0, 4], [0, 2, 1, 1, 0, 0, 3, 0, 7, 1], [0, 2, 1, 1, 0, 0, 3, 1, 5, 2], [0, 2, 1, 1, 0, 0, 3, 2, 3, 3], [0, 2, 1, 1, 0, 0, 3, 3, 1, 4], [0, 2, 1, 1, 0, 0, 4, 0, 4, 3], [0, 2, 1, 1, 0, 0, 4, 1, 2, 4], [0, 2, 1, 1, 0, 0, 4, 2, 0, 5], [0, 2, 1, 1, 0, 0, 5, 0, 1, 5], [0, 2, 1, 1, 0, 1, 0, 2, 8, 0], [0, 2, 1, 1, 0, 1, 0, 3, 6, 1], [0, 2, 1, 1, 0, 1, 0, 4, 4, 2], [0, 2, 1, 1, 0, 1, 0, 5, 2, 3], [0, 2, 1, 1, 0, 1, 0, 6, 0, 4], [0, 2, 1, 1, 0, 1, 1, 0, 9, 0], [0, 2, 1, 1, 0, 1, 1, 1, 7, 1], [0, 2, 1, 1, 0, 1, 1, 2, 5, 2], [0, 2, 1, 1, 0, 1, 1, 3, 3, 3], [0, 2, 1, 1, 0, 1, 1, 4, 1, 4], [0, 2, 1, 1, 0, 1, 2, 0, 6, 2], [0, 2, 1, 1, 0, 1, 2, 1, 4, 3], [0, 2, 1, 1, 0, 1, 2, 2, 2, 4], [0, 2, 1, 1, 0, 1, 2, 3, 0, 5], [0, 2, 1, 1, 0, 1, 3, 0, 3, 4], [0, 2, 1, 1, 0, 1, 3, 1, 1, 5], [0, 2, 1, 1, 0, 1, 4, 0, 0, 6], [0, 2, 1, 1, 0, 2, 0, 0, 8, 1], [0, 2, 1, 1, 0, 2, 0, 1, 6, 2], [0, 2, 1, 1, 0, 2, 0, 2, 4, 3], [0, 2, 1, 1, 0, 2, 0, 3, 2, 4], [0, 2, 1, 1, 0, 2, 0, 4, 0, 5], [0, 2, 1, 1, 0, 2, 1, 0, 5, 3], [0, 2, 1, 1, 0, 2, 1, 1, 3, 4], [0, 2, 1, 1, 0, 2, 1, 2, 1, 5], [0, 2, 1, 1, 0, 2, 2, 0, 2, 5], [0, 2, 1, 1, 0, 2, 2, 1, 0, 6], [0, 2, 1, 1, 0, 3, 0, 0, 4, 4], [0, 2, 1, 1, 0, 3, 0, 1, 2, 5], [0, 2, 1, 1, 0, 3, 0, 2, 0, 6], [0, 2, 1, 1, 0, 3, 1, 0, 1, 6], [0, 2, 1, 1, 0, 4, 0, 0, 0, 7], [0, 2, 1, 1, 1, 0, 0, 1, 9, 0], [0, 2, 1, 1, 1, 0, 0, 2, 7, 1], [0, 2, 1, 1, 1, 0, 0, 3, 5, 2], [0, 2, 1, 1, 1, 0, 0, 4, 3, 3], [0, 2, 1, 1, 1, 0, 0, 5, 1, 4], [0, 2, 1, 1, 1, 0, 1, 0, 8, 1], [0, 2, 1, 1, 1, 0, 1, 1, 6, 2], [0, 2, 1, 1, 1, 0, 1, 2, 4, 3], [0, 2, 1, 1, 1, 0, 1, 3, 2, 4], [0, 2, 1, 1, 1, 0, 1, 4, 0, 5], [0, 2, 1, 1, 1, 0, 2, 0, 5, 3], [0, 2, 1, 1, 1, 0, 2, 1, 3, 4], [0, 2, 1, 1, 1, 0, 2, 2, 1, 5], [0, 2, 1, 1, 1, 0, 3, 0, 2, 5], [0, 2, 1, 1, 1, 0, 3, 1, 0, 6], [0, 2, 1, 1, 1, 1, 0, 0, 7, 2], [0, 2, 1, 1, 1, 1, 0, 1, 5, 3], [0, 2, 1, 1, 1, 1, 0, 2, 3, 4], [0, 2, 1, 1, 1, 1, 0, 3, 1, 5], [0, 2, 1, 1, 1, 1, 1, 0, 4, 4], [0, 2, 1, 1, 1, 1, 1, 1, 2, 5], [0, 2, 1, 1, 1, 1, 1, 2, 0, 6], [0, 2, 1, 1, 1, 1, 2, 0, 1, 6], [0, 2, 1, 1, 1, 2, 0, 0, 3, 5], [0, 2, 1, 1, 1, 2, 0, 1, 1, 6], [0, 2, 1, 1, 1, 2, 1, 0, 0, 7], [0, 2, 1, 1, 2, 0, 0, 0, 6, 3], [0, 2, 1, 1, 2, 0, 0, 1, 4, 4], [0, 2, 1, 1, 2, 0, 0, 2, 2, 5], [0, 2, 1, 1, 2, 0, 0, 3, 0, 6], [0, 2, 1, 1, 2, 0, 1, 0, 3, 5], [0, 2, 1, 1, 2, 0, 1, 1, 1, 6], [0, 2, 1, 1, 2, 0, 2, 0, 0, 7], [0, 2, 1, 1, 2, 1, 0, 0, 2, 6], [0, 2, 1, 1, 2, 1, 0, 1, 0, 7], [0, 2, 1, 1, 3, 0, 0, 0, 1, 7], [0, 2, 1, 2, 0, 0, 0, 0, 10, 0], [0, 2, 1, 2, 0, 0, 0, 1, 8, 1], [0, 2, 1, 2, 0, 0, 0, 2, 6, 2], [0, 2, 1, 2, 0, 0, 0, 3, 4, 3], [0, 2, 1, 2, 0, 0, 0, 4, 2, 4], [0, 2, 1, 2, 0, 0, 0, 5, 0, 5], [0, 2, 1, 2, 0, 0, 1, 0, 7, 2], [0, 2, 1, 2, 0, 0, 1, 1, 5, 3], [0, 2, 1, 2, 0, 0, 1, 2, 3, 4], [0, 2, 1, 2, 0, 0, 1, 3, 1, 5], [0, 2, 1, 2, 0, 0, 2, 0, 4, 4], [0, 2, 1, 2, 0, 0, 2, 1, 2, 5], [0, 2, 1, 2, 0, 0, 2, 2, 0, 6], [0, 2, 1, 2, 0, 0, 3, 0, 1, 6], [0, 2, 1, 2, 0, 1, 0, 0, 6, 3], [0, 2, 1, 2, 0, 1, 0, 1, 4, 4], [0, 2, 1, 2, 0, 1, 0, 2, 2, 5], [0, 2, 1, 2, 0, 1, 0, 3, 0, 6], [0, 2, 1, 2, 0, 1, 1, 0, 3, 5], [0, 2, 1, 2, 0, 1, 1, 1, 1, 6], [0, 2, 1, 2, 0, 1, 2, 0, 0, 7], [0, 2, 1, 2, 0, 2, 0, 0, 2, 6], [0, 2, 1, 2, 0, 2, 0, 1, 0, 7], [0, 2, 1, 2, 1, 0, 0, 0, 5, 4], [0, 2, 1, 2, 1, 0, 0, 1, 3, 5], [0, 2, 1, 2, 1, 0, 0, 2, 1, 6], [0, 2, 1, 2, 1, 0, 1, 0, 2, 6], [0, 2, 1, 2, 1, 0, 1, 1, 0, 7], [0, 2, 1, 2, 1, 1, 0, 0, 1, 7], [0, 2, 1, 2, 2, 0, 0, 0, 0, 8], [0, 2, 1, 3, 0, 0, 0, 0, 4, 5], [0, 2, 1, 3, 0, 0, 0, 1, 2, 6], [0, 2, 1, 3, 0, 0, 0, 2, 0, 7], [0, 2, 1, 3, 0, 0, 1, 0, 1, 7], [0, 2, 1, 3, 0, 1, 0, 0, 0, 8], [0, 2, 2, 0, 0, 0, 0, 4, 7, 0], [0, 2, 2, 0, 0, 0, 0, 5, 5, 1], [0, 2, 2, 0, 0, 0, 0, 6, 3, 2], [0, 2, 2, 0, 0, 0, 0, 7, 1, 3], [0, 2, 2, 0, 0, 0, 1, 2, 8, 0], [0, 2, 2, 0, 0, 0, 1, 3, 6, 1], [0, 2, 2, 0, 0, 0, 1, 4, 4, 2], [0, 2, 2, 0, 0, 0, 1, 5, 2, 3], [0, 2, 2, 0, 0, 0, 1, 6, 0, 4], [0, 2, 2, 0, 0, 0, 2, 0, 9, 0], [0, 2, 2, 0, 0, 0, 2, 1, 7, 1], [0, 2, 2, 0, 0, 0, 2, 2, 5, 2], [0, 2, 2, 0, 0, 0, 2, 3, 3, 3], [0, 2, 2, 0, 0, 0, 2, 4, 1, 4], [0, 2, 2, 0, 0, 0, 3, 0, 6, 2], [0, 2, 2, 0, 0, 0, 3, 1, 4, 3], [0, 2, 2, 0, 0, 0, 3, 2, 2, 4], [0, 2, 2, 0, 0, 0, 3, 3, 0, 5], [0, 2, 2, 0, 0, 0, 4, 0, 3, 4], [0, 2, 2, 0, 0, 0, 4, 1, 1, 5], [0, 2, 2, 0, 0, 0, 5, 0, 0, 6], [0, 2, 2, 0, 0, 1, 0, 1, 9, 0], [0, 2, 2, 0, 0, 1, 0, 2, 7, 1], [0, 2, 2, 0, 0, 1, 0, 3, 5, 2], [0, 2, 2, 0, 0, 1, 0, 4, 3, 3], [0, 2, 2, 0, 0, 1, 0, 5, 1, 4], [0, 2, 2, 0, 0, 1, 1, 0, 8, 1], [0, 2, 2, 0, 0, 1, 1, 1, 6, 2], [0, 2, 2, 0, 0, 1, 1, 2, 4, 3], [0, 2, 2, 0, 0, 1, 1, 3, 2, 4], [0, 2, 2, 0, 0, 1, 1, 4, 0, 5], [0, 2, 2, 0, 0, 1, 2, 0, 5, 3], [0, 2, 2, 0, 0, 1, 2, 1, 3, 4], [0, 2, 2, 0, 0, 1, 2, 2, 1, 5], [0, 2, 2, 0, 0, 1, 3, 0, 2, 5], [0, 2, 2, 0, 0, 1, 3, 1, 0, 6], [0, 2, 2, 0, 0, 2, 0, 0, 7, 2], [0, 2, 2, 0, 0, 2, 0, 1, 5, 3], [0, 2, 2, 0, 0, 2, 0, 2, 3, 4], [0, 2, 2, 0, 0, 2, 0, 3, 1, 5], [0, 2, 2, 0, 0, 2, 1, 0, 4, 4], [0, 2, 2, 0, 0, 2, 1, 1, 2, 5], [0, 2, 2, 0, 0, 2, 1, 2, 0, 6], [0, 2, 2, 0, 0, 2, 2, 0, 1, 6], [0, 2, 2, 0, 0, 3, 0, 0, 3, 5], [0, 2, 2, 0, 0, 3, 0, 1, 1, 6], [0, 2, 2, 0, 0, 3, 1, 0, 0, 7], [0, 2, 2, 0, 1, 0, 0, 0, 10, 0], [0, 2, 2, 0, 1, 0, 0, 1, 8, 1], [0, 2, 2, 0, 1, 0, 0, 2, 6, 2], [0, 2, 2, 0, 1, 0, 0, 3, 4, 3], [0, 2, 2, 0, 1, 0, 0, 4, 2, 4], [0, 2, 2, 0, 1, 0, 0, 5, 0, 5], [0, 2, 2, 0, 1, 0, 1, 0, 7, 2], [0, 2, 2, 0, 1, 0, 1, 1, 5, 3], [0, 2, 2, 0, 1, 0, 1, 2, 3, 4], [0, 2, 2, 0, 1, 0, 1, 3, 1, 5], [0, 2, 2, 0, 1, 0, 2, 0, 4, 4], [0, 2, 2, 0, 1, 0, 2, 1, 2, 5], [0, 2, 2, 0, 1, 0, 2, 2, 0, 6], [0, 2, 2, 0, 1, 0, 3, 0, 1, 6], [0, 2, 2, 0, 1, 1, 0, 0, 6, 3], [0, 2, 2, 0, 1, 1, 0, 1, 4, 4], [0, 2, 2, 0, 1, 1, 0, 2, 2, 5], [0, 2, 2, 0, 1, 1, 0, 3, 0, 6], [0, 2, 2, 0, 1, 1, 1, 0, 3, 5], [0, 2, 2, 0, 1, 1, 1, 1, 1, 6], [0, 2, 2, 0, 1, 1, 2, 0, 0, 7], [0, 2, 2, 0, 1, 2, 0, 0, 2, 6], [0, 2, 2, 0, 1, 2, 0, 1, 0, 7], [0, 2, 2, 0, 2, 0, 0, 0, 5, 4], [0, 2, 2, 0, 2, 0, 0, 1, 3, 5], [0, 2, 2, 0, 2, 0, 0, 2, 1, 6], [0, 2, 2, 0, 2, 0, 1, 0, 2, 6], [0, 2, 2, 0, 2, 0, 1, 1, 0, 7], [0, 2, 2, 0, 2, 1, 0, 0, 1, 7], [0, 2, 2, 0, 3, 0, 0, 0, 0, 8], [0, 2, 2, 1, 0, 0, 0, 0, 9, 1], [0, 2, 2, 1, 0, 0, 0, 1, 7, 2], [0, 2, 2, 1, 0, 0, 0, 2, 5, 3], [0, 2, 2, 1, 0, 0, 0, 3, 3, 4], [0, 2, 2, 1, 0, 0, 0, 4, 1, 5], [0, 2, 2, 1, 0, 0, 1, 0, 6, 3], [0, 2, 2, 1, 0, 0, 1, 1, 4, 4], [0, 2, 2, 1, 0, 0, 1, 2, 2, 5], [0, 2, 2, 1, 0, 0, 1, 3, 0, 6], [0, 2, 2, 1, 0, 0, 2, 0, 3, 5], [0, 2, 2, 1, 0, 0, 2, 1, 1, 6], [0, 2, 2, 1, 0, 0, 3, 0, 0, 7], [0, 2, 2, 1, 0, 1, 0, 0, 5, 4], [0, 2, 2, 1, 0, 1, 0, 1, 3, 5], [0, 2, 2, 1, 0, 1, 0, 2, 1, 6], [0, 2, 2, 1, 0, 1, 1, 0, 2, 6], [0, 2, 2, 1, 0, 1, 1, 1, 0, 7], [0, 2, 2, 1, 0, 2, 0, 0, 1, 7], [0, 2, 2, 1, 1, 0, 0, 0, 4, 5], [0, 2, 2, 1, 1, 0, 0, 1, 2, 6], [0, 2, 2, 1, 1, 0, 0, 2, 0, 7], [0, 2, 2, 1, 1, 0, 1, 0, 1, 7], [0, 2, 2, 1, 1, 1, 0, 0, 0, 8], [0, 2, 2, 2, 0, 0, 0, 0, 3, 6], [0, 2, 2, 2, 0, 0, 0, 1, 1, 7], [0, 2, 2, 2, 0, 0, 1, 0, 0, 8], [0, 2, 3, 0, 0, 0, 0, 0, 8, 2], [0, 2, 3, 0, 0, 0, 0, 1, 6, 3], [0, 2, 3, 0, 0, 0, 0, 2, 4, 4], [0, 2, 3, 0, 0, 0, 0, 3, 2, 5], [0, 2, 3, 0, 0, 0, 0, 4, 0, 6], [0, 2, 3, 0, 0, 0, 1, 0, 5, 4], [0, 2, 3, 0, 0, 0, 1, 1, 3, 5], [0, 2, 3, 0, 0, 0, 1, 2, 1, 6], [0, 2, 3, 0, 0, 0, 2, 0, 2, 6], [0, 2, 3, 0, 0, 0, 2, 1, 0, 7], [0, 2, 3, 0, 0, 1, 0, 0, 4, 5], [0, 2, 3, 0, 0, 1, 0, 1, 2, 6], [0, 2, 3, 0, 0, 1, 0, 2, 0, 7], [0, 2, 3, 0, 0, 1, 1, 0, 1, 7], [0, 2, 3, 0, 0, 2, 0, 0, 0, 8], [0, 2, 3, 0, 1, 0, 0, 0, 3, 6], [0, 2, 3, 0, 1, 0, 0, 1, 1, 7], [0, 2, 3, 0, 1, 0, 1, 0, 0, 8], [0, 2, 3, 1, 0, 0, 0, 0, 2, 7], [0, 2, 3, 1, 0, 0, 0, 1, 0, 8], [0, 2, 4, 0, 0, 0, 0, 0, 1, 8], [0, 3, 0, 0, 0, 0, 0, 9, 3, 0], [0, 3, 0, 0, 0, 0, 0, 10, 1, 1], [0, 3, 0, 0, 0, 0, 1, 7, 4, 0], [0, 3, 0, 0, 0, 0, 1, 8, 2, 1], [0, 3, 0, 0, 0, 0, 1, 9, 0, 2], [0, 3, 0, 0, 0, 0, 2, 5, 5, 0], [0, 3, 0, 0, 0, 0, 2, 6, 3, 1], [0, 3, 0, 0, 0, 0, 2, 7, 1, 2], [0, 3, 0, 0, 0, 0, 3, 3, 6, 0], [0, 3, 0, 0, 0, 0, 3, 4, 4, 1], [0, 3, 0, 0, 0, 0, 3, 5, 2, 2], [0, 3, 0, 0, 0, 0, 3, 6, 0, 3], [0, 3, 0, 0, 0, 0, 4, 1, 7, 0], [0, 3, 0, 0, 0, 0, 4, 2, 5, 1], [0, 3, 0, 0, 0, 0, 4, 3, 3, 2], [0, 3, 0, 0, 0, 0, 4, 4, 1, 3], [0, 3, 0, 0, 0, 0, 5, 0, 6, 1], [0, 3, 0, 0, 0, 0, 5, 1, 4, 2], [0, 3, 0, 0, 0, 0, 5, 2, 2, 3], [0, 3, 0, 0, 0, 0, 5, 3, 0, 4], [0, 3, 0, 0, 0, 0, 6, 0, 3, 3], [0, 3, 0, 0, 0, 0, 6, 1, 1, 4], [0, 3, 0, 0, 0, 0, 7, 0, 0, 5], [0, 3, 0, 0, 0, 1, 0, 6, 5, 0], [0, 3, 0, 0, 0, 1, 0, 7, 3, 1], [0, 3, 0, 0, 0, 1, 0, 8, 1, 2], [0, 3, 0, 0, 0, 1, 1, 4, 6, 0], [0, 3, 0, 0, 0, 1, 1, 5, 4, 1], [0, 3, 0, 0, 0, 1, 1, 6, 2, 2], [0, 3, 0, 0, 0, 1, 1, 7, 0, 3], [0, 3, 0, 0, 0, 1, 2, 2, 7, 0], [0, 3, 0, 0, 0, 1, 2, 3, 5, 1], [0, 3, 0, 0, 0, 1, 2, 4, 3, 2], [0, 3, 0, 0, 0, 1, 2, 5, 1, 3], [0, 3, 0, 0, 0, 1, 3, 0, 8, 0], [0, 3, 0, 0, 0, 1, 3, 1, 6, 1], [0, 3, 0, 0, 0, 1, 3, 2, 4, 2], [0, 3, 0, 0, 0, 1, 3, 3, 2, 3], [0, 3, 0, 0, 0, 1, 3, 4, 0, 4], [0, 3, 0, 0, 0, 1, 4, 0, 5, 2], [0, 3, 0, 0, 0, 1, 4, 1, 3, 3], [0, 3, 0, 0, 0, 1, 4, 2, 1, 4], [0, 3, 0, 0, 0, 1, 5, 0, 2, 4], [0, 3, 0, 0, 0, 1, 5, 1, 0, 5], [0, 3, 0, 0, 0, 2, 0, 3, 7, 0], [0, 3, 0, 0, 0, 2, 0, 4, 5, 1], [0, 3, 0, 0, 0, 2, 0, 5, 3, 2], [0, 3, 0, 0, 0, 2, 0, 6, 1, 3], [0, 3, 0, 0, 0, 2, 1, 1, 8, 0], [0, 3, 0, 0, 0, 2, 1, 2, 6, 1], [0, 3, 0, 0, 0, 2, 1, 3, 4, 2], [0, 3, 0, 0, 0, 2, 1, 4, 2, 3], [0, 3, 0, 0, 0, 2, 1, 5, 0, 4], [0, 3, 0, 0, 0, 2, 2, 0, 7, 1], [0, 3, 0, 0, 0, 2, 2, 1, 5, 2], [0, 3, 0, 0, 0, 2, 2, 2, 3, 3], [0, 3, 0, 0, 0, 2, 2, 3, 1, 4], [0, 3, 0, 0, 0, 2, 3, 0, 4, 3], [0, 3, 0, 0, 0, 2, 3, 1, 2, 4], [0, 3, 0, 0, 0, 2, 3, 2, 0, 5], [0, 3, 0, 0, 0, 2, 4, 0, 1, 5], [0, 3, 0, 0, 0, 3, 0, 0, 9, 0], [0, 3, 0, 0, 0, 3, 0, 1, 7, 1], [0, 3, 0, 0, 0, 3, 0, 2, 5, 2], [0, 3, 0, 0, 0, 3, 0, 3, 3, 3], [0, 3, 0, 0, 0, 3, 0, 4, 1, 4], [0, 3, 0, 0, 0, 3, 1, 0, 6, 2], [0, 3, 0, 0, 0, 3, 1, 1, 4, 3], [0, 3, 0, 0, 0, 3, 1, 2, 2, 4], [0, 3, 0, 0, 0, 3, 1, 3, 0, 5], [0, 3, 0, 0, 0, 3, 2, 0, 3, 4], [0, 3, 0, 0, 0, 3, 2, 1, 1, 5], [0, 3, 0, 0, 0, 3, 3, 0, 0, 6], [0, 3, 0, 0, 0, 4, 0, 0, 5, 3], [0, 3, 0, 0, 0, 4, 0, 1, 3, 4], [0, 3, 0, 0, 0, 4, 0, 2, 1, 5], [0, 3, 0, 0, 0, 4, 1, 0, 2, 5], [0, 3, 0, 0, 0, 4, 1, 1, 0, 6], [0, 3, 0, 0, 0, 5, 0, 0, 1, 6], [0, 3, 0, 0, 1, 0, 0, 5, 6, 0], [0, 3, 0, 0, 1, 0, 0, 6, 4, 1], [0, 3, 0, 0, 1, 0, 0, 7, 2, 2], [0, 3, 0, 0, 1, 0, 0, 8, 0, 3], [0, 3, 0, 0, 1, 0, 1, 3, 7, 0], [0, 3, 0, 0, 1, 0, 1, 4, 5, 1], [0, 3, 0, 0, 1, 0, 1, 5, 3, 2], [0, 3, 0, 0, 1, 0, 1, 6, 1, 3], [0, 3, 0, 0, 1, 0, 2, 1, 8, 0], [0, 3, 0, 0, 1, 0, 2, 2, 6, 1], [0, 3, 0, 0, 1, 0, 2, 3, 4, 2], [0, 3, 0, 0, 1, 0, 2, 4, 2, 3], [0, 3, 0, 0, 1, 0, 2, 5, 0, 4], [0, 3, 0, 0, 1, 0, 3, 0, 7, 1], [0, 3, 0, 0, 1, 0, 3, 1, 5, 2], [0, 3, 0, 0, 1, 0, 3, 2, 3, 3], [0, 3, 0, 0, 1, 0, 3, 3, 1, 4], [0, 3, 0, 0, 1, 0, 4, 0, 4, 3], [0, 3, 0, 0, 1, 0, 4, 1, 2, 4], [0, 3, 0, 0, 1, 0, 4, 2, 0, 5], [0, 3, 0, 0, 1, 0, 5, 0, 1, 5], [0, 3, 0, 0, 1, 1, 0, 2, 8, 0], [0, 3, 0, 0, 1, 1, 0, 3, 6, 1], [0, 3, 0, 0, 1, 1, 0, 4, 4, 2], [0, 3, 0, 0, 1, 1, 0, 5, 2, 3], [0, 3, 0, 0, 1, 1, 0, 6, 0, 4], [0, 3, 0, 0, 1, 1, 1, 0, 9, 0], [0, 3, 0, 0, 1, 1, 1, 1, 7, 1], [0, 3, 0, 0, 1, 1, 1, 2, 5, 2], [0, 3, 0, 0, 1, 1, 1, 3, 3, 3], [0, 3, 0, 0, 1, 1, 1, 4, 1, 4], [0, 3, 0, 0, 1, 1, 2, 0, 6, 2], [0, 3, 0, 0, 1, 1, 2, 1, 4, 3], [0, 3, 0, 0, 1, 1, 2, 2, 2, 4], [0, 3, 0, 0, 1, 1, 2, 3, 0, 5], [0, 3, 0, 0, 1, 1, 3, 0, 3, 4], [0, 3, 0, 0, 1, 1, 3, 1, 1, 5], [0, 3, 0, 0, 1, 1, 4, 0, 0, 6], [0, 3, 0, 0, 1, 2, 0, 0, 8, 1], [0, 3, 0, 0, 1, 2, 0, 1, 6, 2], [0, 3, 0, 0, 1, 2, 0, 2, 4, 3], [0, 3, 0, 0, 1, 2, 0, 3, 2, 4], [0, 3, 0, 0, 1, 2, 0, 4, 0, 5], [0, 3, 0, 0, 1, 2, 1, 0, 5, 3], [0, 3, 0, 0, 1, 2, 1, 1, 3, 4], [0, 3, 0, 0, 1, 2, 1, 2, 1, 5], [0, 3, 0, 0, 1, 2, 2, 0, 2, 5], [0, 3, 0, 0, 1, 2, 2, 1, 0, 6], [0, 3, 0, 0, 1, 3, 0, 0, 4, 4], [0, 3, 0, 0, 1, 3, 0, 1, 2, 5], [0, 3, 0, 0, 1, 3, 0, 2, 0, 6], [0, 3, 0, 0, 1, 3, 1, 0, 1, 6], [0, 3, 0, 0, 1, 4, 0, 0, 0, 7], [0, 3, 0, 0, 2, 0, 0, 1, 9, 0], [0, 3, 0, 0, 2, 0, 0, 2, 7, 1], [0, 3, 0, 0, 2, 0, 0, 3, 5, 2], [0, 3, 0, 0, 2, 0, 0, 4, 3, 3], [0, 3, 0, 0, 2, 0, 0, 5, 1, 4], [0, 3, 0, 0, 2, 0, 1, 0, 8, 1], [0, 3, 0, 0, 2, 0, 1, 1, 6, 2], [0, 3, 0, 0, 2, 0, 1, 2, 4, 3], [0, 3, 0, 0, 2, 0, 1, 3, 2, 4], [0, 3, 0, 0, 2, 0, 1, 4, 0, 5], [0, 3, 0, 0, 2, 0, 2, 0, 5, 3], [0, 3, 0, 0, 2, 0, 2, 1, 3, 4], [0, 3, 0, 0, 2, 0, 2, 2, 1, 5], [0, 3, 0, 0, 2, 0, 3, 0, 2, 5], [0, 3, 0, 0, 2, 0, 3, 1, 0, 6], [0, 3, 0, 0, 2, 1, 0, 0, 7, 2], [0, 3, 0, 0, 2, 1, 0, 1, 5, 3], [0, 3, 0, 0, 2, 1, 0, 2, 3, 4], [0, 3, 0, 0, 2, 1, 0, 3, 1, 5], [0, 3, 0, 0, 2, 1, 1, 0, 4, 4], [0, 3, 0, 0, 2, 1, 1, 1, 2, 5], [0, 3, 0, 0, 2, 1, 1, 2, 0, 6], [0, 3, 0, 0, 2, 1, 2, 0, 1, 6], [0, 3, 0, 0, 2, 2, 0, 0, 3, 5], [0, 3, 0, 0, 2, 2, 0, 1, 1, 6], [0, 3, 0, 0, 2, 2, 1, 0, 0, 7], [0, 3, 0, 0, 3, 0, 0, 0, 6, 3], [0, 3, 0, 0, 3, 0, 0, 1, 4, 4], [0, 3, 0, 0, 3, 0, 0, 2, 2, 5], [0, 3, 0, 0, 3, 0, 0, 3, 0, 6], [0, 3, 0, 0, 3, 0, 1, 0, 3, 5], [0, 3, 0, 0, 3, 0, 1, 1, 1, 6], [0, 3, 0, 0, 3, 0, 2, 0, 0, 7], [0, 3, 0, 0, 3, 1, 0, 0, 2, 6], [0, 3, 0, 0, 3, 1, 0, 1, 0, 7], [0, 3, 0, 0, 4, 0, 0, 0, 1, 7], [0, 3, 0, 1, 0, 0, 0, 4, 7, 0], [0, 3, 0, 1, 0, 0, 0, 5, 5, 1], [0, 3, 0, 1, 0, 0, 0, 6, 3, 2], [0, 3, 0, 1, 0, 0, 0, 7, 1, 3], [0, 3, 0, 1, 0, 0, 1, 2, 8, 0], [0, 3, 0, 1, 0, 0, 1, 3, 6, 1], [0, 3, 0, 1, 0, 0, 1, 4, 4, 2], [0, 3, 0, 1, 0, 0, 1, 5, 2, 3], [0, 3, 0, 1, 0, 0, 1, 6, 0, 4], [0, 3, 0, 1, 0, 0, 2, 0, 9, 0], [0, 3, 0, 1, 0, 0, 2, 1, 7, 1], [0, 3, 0, 1, 0, 0, 2, 2, 5, 2], [0, 3, 0, 1, 0, 0, 2, 3, 3, 3], [0, 3, 0, 1, 0, 0, 2, 4, 1, 4], [0, 3, 0, 1, 0, 0, 3, 0, 6, 2], [0, 3, 0, 1, 0, 0, 3, 1, 4, 3], [0, 3, 0, 1, 0, 0, 3, 2, 2, 4], [0, 3, 0, 1, 0, 0, 3, 3, 0, 5], [0, 3, 0, 1, 0, 0, 4, 0, 3, 4], [0, 3, 0, 1, 0, 0, 4, 1, 1, 5], [0, 3, 0, 1, 0, 0, 5, 0, 0, 6], [0, 3, 0, 1, 0, 1, 0, 1, 9, 0], [0, 3, 0, 1, 0, 1, 0, 2, 7, 1], [0, 3, 0, 1, 0, 1, 0, 3, 5, 2], [0, 3, 0, 1, 0, 1, 0, 4, 3, 3], [0, 3, 0, 1, 0, 1, 0, 5, 1, 4], [0, 3, 0, 1, 0, 1, 1, 0, 8, 1], [0, 3, 0, 1, 0, 1, 1, 1, 6, 2], [0, 3, 0, 1, 0, 1, 1, 2, 4, 3], [0, 3, 0, 1, 0, 1, 1, 3, 2, 4], [0, 3, 0, 1, 0, 1, 1, 4, 0, 5], [0, 3, 0, 1, 0, 1, 2, 0, 5, 3], [0, 3, 0, 1, 0, 1, 2, 1, 3, 4], [0, 3, 0, 1, 0, 1, 2, 2, 1, 5], [0, 3, 0, 1, 0, 1, 3, 0, 2, 5], [0, 3, 0, 1, 0, 1, 3, 1, 0, 6], [0, 3, 0, 1, 0, 2, 0, 0, 7, 2], [0, 3, 0, 1, 0, 2, 0, 1, 5, 3], [0, 3, 0, 1, 0, 2, 0, 2, 3, 4], [0, 3, 0, 1, 0, 2, 0, 3, 1, 5], [0, 3, 0, 1, 0, 2, 1, 0, 4, 4], [0, 3, 0, 1, 0, 2, 1, 1, 2, 5], [0, 3, 0, 1, 0, 2, 1, 2, 0, 6], [0, 3, 0, 1, 0, 2, 2, 0, 1, 6], [0, 3, 0, 1, 0, 3, 0, 0, 3, 5], [0, 3, 0, 1, 0, 3, 0, 1, 1, 6], [0, 3, 0, 1, 0, 3, 1, 0, 0, 7], [0, 3, 0, 1, 1, 0, 0, 0, 10, 0], [0, 3, 0, 1, 1, 0, 0, 1, 8, 1], [0, 3, 0, 1, 1, 0, 0, 2, 6, 2], [0, 3, 0, 1, 1, 0, 0, 3, 4, 3], [0, 3, 0, 1, 1, 0, 0, 4, 2, 4], [0, 3, 0, 1, 1, 0, 0, 5, 0, 5], [0, 3, 0, 1, 1, 0, 1, 0, 7, 2], [0, 3, 0, 1, 1, 0, 1, 1, 5, 3], [0, 3, 0, 1, 1, 0, 1, 2, 3, 4], [0, 3, 0, 1, 1, 0, 1, 3, 1, 5], [0, 3, 0, 1, 1, 0, 2, 0, 4, 4], [0, 3, 0, 1, 1, 0, 2, 1, 2, 5], [0, 3, 0, 1, 1, 0, 2, 2, 0, 6], [0, 3, 0, 1, 1, 0, 3, 0, 1, 6], [0, 3, 0, 1, 1, 1, 0, 0, 6, 3], [0, 3, 0, 1, 1, 1, 0, 1, 4, 4], [0, 3, 0, 1, 1, 1, 0, 2, 2, 5], [0, 3, 0, 1, 1, 1, 0, 3, 0, 6], [0, 3, 0, 1, 1, 1, 1, 0, 3, 5], [0, 3, 0, 1, 1, 1, 1, 1, 1, 6], [0, 3, 0, 1, 1, 1, 2, 0, 0, 7], [0, 3, 0, 1, 1, 2, 0, 0, 2, 6], [0, 3, 0, 1, 1, 2, 0, 1, 0, 7], [0, 3, 0, 1, 2, 0, 0, 0, 5, 4], [0, 3, 0, 1, 2, 0, 0, 1, 3, 5], [0, 3, 0, 1, 2, 0, 0, 2, 1, 6], [0, 3, 0, 1, 2, 0, 1, 0, 2, 6], [0, 3, 0, 1, 2, 0, 1, 1, 0, 7], [0, 3, 0, 1, 2, 1, 0, 0, 1, 7], [0, 3, 0, 1, 3, 0, 0, 0, 0, 8], [0, 3, 0, 2, 0, 0, 0, 0, 9, 1], [0, 3, 0, 2, 0, 0, 0, 1, 7, 2], [0, 3, 0, 2, 0, 0, 0, 2, 5, 3], [0, 3, 0, 2, 0, 0, 0, 3, 3, 4], [0, 3, 0, 2, 0, 0, 0, 4, 1, 5], [0, 3, 0, 2, 0, 0, 1, 0, 6, 3], [0, 3, 0, 2, 0, 0, 1, 1, 4, 4], [0, 3, 0, 2, 0, 0, 1, 2, 2, 5], [0, 3, 0, 2, 0, 0, 1, 3, 0, 6], [0, 3, 0, 2, 0, 0, 2, 0, 3, 5], [0, 3, 0, 2, 0, 0, 2, 1, 1, 6], [0, 3, 0, 2, 0, 0, 3, 0, 0, 7], [0, 3, 0, 2, 0, 1, 0, 0, 5, 4], [0, 3, 0, 2, 0, 1, 0, 1, 3, 5], [0, 3, 0, 2, 0, 1, 0, 2, 1, 6], [0, 3, 0, 2, 0, 1, 1, 0, 2, 6], [0, 3, 0, 2, 0, 1, 1, 1, 0, 7], [0, 3, 0, 2, 0, 2, 0, 0, 1, 7], [0, 3, 0, 2, 1, 0, 0, 0, 4, 5], [0, 3, 0, 2, 1, 0, 0, 1, 2, 6], [0, 3, 0, 2, 1, 0, 0, 2, 0, 7], [0, 3, 0, 2, 1, 0, 1, 0, 1, 7], [0, 3, 0, 2, 1, 1, 0, 0, 0, 8], [0, 3, 0, 3, 0, 0, 0, 0, 3, 6], [0, 3, 0, 3, 0, 0, 0, 1, 1, 7], [0, 3, 0, 3, 0, 0, 1, 0, 0, 8], [0, 3, 1, 0, 0, 0, 0, 3, 8, 0], [0, 3, 1, 0, 0, 0, 0, 4, 6, 1], [0, 3, 1, 0, 0, 0, 0, 5, 4, 2], [0, 3, 1, 0, 0, 0, 0, 6, 2, 3], [0, 3, 1, 0, 0, 0, 0, 7, 0, 4], [0, 3, 1, 0, 0, 0, 1, 1, 9, 0], [0, 3, 1, 0, 0, 0, 1, 2, 7, 1], [0, 3, 1, 0, 0, 0, 1, 3, 5, 2], [0, 3, 1, 0, 0, 0, 1, 4, 3, 3], [0, 3, 1, 0, 0, 0, 1, 5, 1, 4], [0, 3, 1, 0, 0, 0, 2, 0, 8, 1], [0, 3, 1, 0, 0, 0, 2, 1, 6, 2], [0, 3, 1, 0, 0, 0, 2, 2, 4, 3], [0, 3, 1, 0, 0, 0, 2, 3, 2, 4], [0, 3, 1, 0, 0, 0, 2, 4, 0, 5], [0, 3, 1, 0, 0, 0, 3, 0, 5, 3], [0, 3, 1, 0, 0, 0, 3, 1, 3, 4], [0, 3, 1, 0, 0, 0, 3, 2, 1, 5], [0, 3, 1, 0, 0, 0, 4, 0, 2, 5], [0, 3, 1, 0, 0, 0, 4, 1, 0, 6], [0, 3, 1, 0, 0, 1, 0, 0, 10, 0], [0, 3, 1, 0, 0, 1, 0, 1, 8, 1], [0, 3, 1, 0, 0, 1, 0, 2, 6, 2], [0, 3, 1, 0, 0, 1, 0, 3, 4, 3], [0, 3, 1, 0, 0, 1, 0, 4, 2, 4], [0, 3, 1, 0, 0, 1, 0, 5, 0, 5], [0, 3, 1, 0, 0, 1, 1, 0, 7, 2], [0, 3, 1, 0, 0, 1, 1, 1, 5, 3], [0, 3, 1, 0, 0, 1, 1, 2, 3, 4], [0, 3, 1, 0, 0, 1, 1, 3, 1, 5], [0, 3, 1, 0, 0, 1, 2, 0, 4, 4], [0, 3, 1, 0, 0, 1, 2, 1, 2, 5], [0, 3, 1, 0, 0, 1, 2, 2, 0, 6], [0, 3, 1, 0, 0, 1, 3, 0, 1, 6], [0, 3, 1, 0, 0, 2, 0, 0, 6, 3], [0, 3, 1, 0, 0, 2, 0, 1, 4, 4], [0, 3, 1, 0, 0, 2, 0, 2, 2, 5], [0, 3, 1, 0, 0, 2, 0, 3, 0, 6], [0, 3, 1, 0, 0, 2, 1, 0, 3, 5], [0, 3, 1, 0, 0, 2, 1, 1, 1, 6], [0, 3, 1, 0, 0, 2, 2, 0, 0, 7], [0, 3, 1, 0, 0, 3, 0, 0, 2, 6], [0, 3, 1, 0, 0, 3, 0, 1, 0, 7], [0, 3, 1, 0, 1, 0, 0, 0, 9, 1], [0, 3, 1, 0, 1, 0, 0, 1, 7, 2], [0, 3, 1, 0, 1, 0, 0, 2, 5, 3], [0, 3, 1, 0, 1, 0, 0, 3, 3, 4], [0, 3, 1, 0, 1, 0, 0, 4, 1, 5], [0, 3, 1, 0, 1, 0, 1, 0, 6, 3], [0, 3, 1, 0, 1, 0, 1, 1, 4, 4], [0, 3, 1, 0, 1, 0, 1, 2, 2, 5], [0, 3, 1, 0, 1, 0, 1, 3, 0, 6], [0, 3, 1, 0, 1, 0, 2, 0, 3, 5], [0, 3, 1, 0, 1, 0, 2, 1, 1, 6], [0, 3, 1, 0, 1, 0, 3, 0, 0, 7], [0, 3, 1, 0, 1, 1, 0, 0, 5, 4], [0, 3, 1, 0, 1, 1, 0, 1, 3, 5], [0, 3, 1, 0, 1, 1, 0, 2, 1, 6], [0, 3, 1, 0, 1, 1, 1, 0, 2, 6], [0, 3, 1, 0, 1, 1, 1, 1, 0, 7], [0, 3, 1, 0, 1, 2, 0, 0, 1, 7], [0, 3, 1, 0, 2, 0, 0, 0, 4, 5], [0, 3, 1, 0, 2, 0, 0, 1, 2, 6], [0, 3, 1, 0, 2, 0, 0, 2, 0, 7], [0, 3, 1, 0, 2, 0, 1, 0, 1, 7], [0, 3, 1, 0, 2, 1, 0, 0, 0, 8], [0, 3, 1, 1, 0, 0, 0, 0, 8, 2], [0, 3, 1, 1, 0, 0, 0, 1, 6, 3], [0, 3, 1, 1, 0, 0, 0, 2, 4, 4], [0, 3, 1, 1, 0, 0, 0, 3, 2, 5], [0, 3, 1, 1, 0, 0, 0, 4, 0, 6], [0, 3, 1, 1, 0, 0, 1, 0, 5, 4], [0, 3, 1, 1, 0, 0, 1, 1, 3, 5], [0, 3, 1, 1, 0, 0, 1, 2, 1, 6], [0, 3, 1, 1, 0, 0, 2, 0, 2, 6], [0, 3, 1, 1, 0, 0, 2, 1, 0, 7], [0, 3, 1, 1, 0, 1, 0, 0, 4, 5], [0, 3, 1, 1, 0, 1, 0, 1, 2, 6], [0, 3, 1, 1, 0, 1, 0, 2, 0, 7], [0, 3, 1, 1, 0, 1, 1, 0, 1, 7], [0, 3, 1, 1, 0, 2, 0, 0, 0, 8], [0, 3, 1, 1, 1, 0, 0, 0, 3, 6], [0, 3, 1, 1, 1, 0, 0, 1, 1, 7], [0, 3, 1, 1, 1, 0, 1, 0, 0, 8], [0, 3, 1, 2, 0, 0, 0, 0, 2, 7], [0, 3, 1, 2, 0, 0, 0, 1, 0, 8], [0, 3, 2, 0, 0, 0, 0, 0, 7, 3], [0, 3, 2, 0, 0, 0, 0, 1, 5, 4], [0, 3, 2, 0, 0, 0, 0, 2, 3, 5], [0, 3, 2, 0, 0, 0, 0, 3, 1, 6], [0, 3, 2, 0, 0, 0, 1, 0, 4, 5], [0, 3, 2, 0, 0, 0, 1, 1, 2, 6], [0, 3, 2, 0, 0, 0, 1, 2, 0, 7], [0, 3, 2, 0, 0, 0, 2, 0, 1, 7], [0, 3, 2, 0, 0, 1, 0, 0, 3, 6], [0, 3, 2, 0, 0, 1, 0, 1, 1, 7], [0, 3, 2, 0, 0, 1, 1, 0, 0, 8], [0, 3, 2, 0, 1, 0, 0, 0, 2, 7], [0, 3, 2, 0, 1, 0, 0, 1, 0, 8], [0, 3, 2, 1, 0, 0, 0, 0, 1, 8], [0, 3, 3, 0, 0, 0, 0, 0, 0, 9], [0, 4, 0, 0, 0, 0, 0, 2, 9, 0], [0, 4, 0, 0, 0, 0, 0, 3, 7, 1], [0, 4, 0, 0, 0, 0, 0, 4, 5, 2], [0, 4, 0, 0, 0, 0, 0, 5, 3, 3], [0, 4, 0, 0, 0, 0, 0, 6, 1, 4], [0, 4, 0, 0, 0, 0, 1, 0, 10, 0], [0, 4, 0, 0, 0, 0, 1, 1, 8, 1], [0, 4, 0, 0, 0, 0, 1, 2, 6, 2], [0, 4, 0, 0, 0, 0, 1, 3, 4, 3], [0, 4, 0, 0, 0, 0, 1, 4, 2, 4], [0, 4, 0, 0, 0, 0, 1, 5, 0, 5], [0, 4, 0, 0, 0, 0, 2, 0, 7, 2], [0, 4, 0, 0, 0, 0, 2, 1, 5, 3], [0, 4, 0, 0, 0, 0, 2, 2, 3, 4], [0, 4, 0, 0, 0, 0, 2, 3, 1, 5], [0, 4, 0, 0, 0, 0, 3, 0, 4, 4], [0, 4, 0, 0, 0, 0, 3, 1, 2, 5], [0, 4, 0, 0, 0, 0, 3, 2, 0, 6], [0, 4, 0, 0, 0, 0, 4, 0, 1, 6], [0, 4, 0, 0, 0, 1, 0, 0, 9, 1], [0, 4, 0, 0, 0, 1, 0, 1, 7, 2], [0, 4, 0, 0, 0, 1, 0, 2, 5, 3], [0, 4, 0, 0, 0, 1, 0, 3, 3, 4], [0, 4, 0, 0, 0, 1, 0, 4, 1, 5], [0, 4, 0, 0, 0, 1, 1, 0, 6, 3], [0, 4, 0, 0, 0, 1, 1, 1, 4, 4], [0, 4, 0, 0, 0, 1, 1, 2, 2, 5], [0, 4, 0, 0, 0, 1, 1, 3, 0, 6], [0, 4, 0, 0, 0, 1, 2, 0, 3, 5], [0, 4, 0, 0, 0, 1, 2, 1, 1, 6], [0, 4, 0, 0, 0, 1, 3, 0, 0, 7], [0, 4, 0, 0, 0, 2, 0, 0, 5, 4], [0, 4, 0, 0, 0, 2, 0, 1, 3, 5], [0, 4, 0, 0, 0, 2, 0, 2, 1, 6], [0, 4, 0, 0, 0, 2, 1, 0, 2, 6], [0, 4, 0, 0, 0, 2, 1, 1, 0, 7], [0, 4, 0, 0, 0, 3, 0, 0, 1, 7], [0, 4, 0, 0, 1, 0, 0, 0, 8, 2], [0, 4, 0, 0, 1, 0, 0, 1, 6, 3], [0, 4, 0, 0, 1, 0, 0, 2, 4, 4], [0, 4, 0, 0, 1, 0, 0, 3, 2, 5], [0, 4, 0, 0, 1, 0, 0, 4, 0, 6], [0, 4, 0, 0, 1, 0, 1, 0, 5, 4], [0, 4, 0, 0, 1, 0, 1, 1, 3, 5], [0, 4, 0, 0, 1, 0, 1, 2, 1, 6], [0, 4, 0, 0, 1, 0, 2, 0, 2, 6], [0, 4, 0, 0, 1, 0, 2, 1, 0, 7], [0, 4, 0, 0, 1, 1, 0, 0, 4, 5], [0, 4, 0, 0, 1, 1, 0, 1, 2, 6], [0, 4, 0, 0, 1, 1, 0, 2, 0, 7], [0, 4, 0, 0, 1, 1, 1, 0, 1, 7], [0, 4, 0, 0, 1, 2, 0, 0, 0, 8], [0, 4, 0, 0, 2, 0, 0, 0, 3, 6], [0, 4, 0, 0, 2, 0, 0, 1, 1, 7], [0, 4, 0, 0, 2, 0, 1, 0, 0, 8], [0, 4, 0, 1, 0, 0, 0, 0, 7, 3], [0, 4, 0, 1, 0, 0, 0, 1, 5, 4], [0, 4, 0, 1, 0, 0, 0, 2, 3, 5], [0, 4, 0, 1, 0, 0, 0, 3, 1, 6], [0, 4, 0, 1, 0, 0, 1, 0, 4, 5], [0, 4, 0, 1, 0, 0, 1, 1, 2, 6], [0, 4, 0, 1, 0, 0, 1, 2, 0, 7], [0, 4, 0, 1, 0, 0, 2, 0, 1, 7], [0, 4, 0, 1, 0, 1, 0, 0, 3, 6], [0, 4, 0, 1, 0, 1, 0, 1, 1, 7], [0, 4, 0, 1, 0, 1, 1, 0, 0, 8], [0, 4, 0, 1, 1, 0, 0, 0, 2, 7], [0, 4, 0, 1, 1, 0, 0, 1, 0, 8], [0, 4, 0, 2, 0, 0, 0, 0, 1, 8], [0, 4, 1, 0, 0, 0, 0, 0, 6, 4], [0, 4, 1, 0, 0, 0, 0, 1, 4, 5], [0, 4, 1, 0, 0, 0, 0, 2, 2, 6], [0, 4, 1, 0, 0, 0, 0, 3, 0, 7], [0, 4, 1, 0, 0, 0, 1, 0, 3, 6], [0, 4, 1, 0, 0, 0, 1, 1, 1, 7], [0, 4, 1, 0, 0, 0, 2, 0, 0, 8], [0, 4, 1, 0, 0, 1, 0, 0, 2, 7], [0, 4, 1, 0, 0, 1, 0, 1, 0, 8], [0, 4, 1, 0, 1, 0, 0, 0, 1, 8], [0, 4, 1, 1, 0, 0, 0, 0, 0, 9], [0, 5, 0, 0, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 0, 1, 3, 6], [0, 5, 0, 0, 0, 0, 0, 2, 1, 7], [0, 5, 0, 0, 0, 0, 1, 0, 2, 7], [0, 5, 0, 0, 0, 0, 1, 1, 0, 8], [0, 5, 0, 0, 0, 1, 0, 0, 1, 8], [0, 5, 0, 0, 1, 0, 0, 0, 0, 9]}