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4ラウンド終了時にどんな点差になっているのが理想的なのか

どうにも自作AIが弱すぎる。
最後の一手は最適なものを選ぶとして、それ以外の場面での選択がよろしくないようだ。
各ラウンドの終了時の理想的な点数ってのはどういう点差になっているときなんだろう?
と、いうわけで実験してみた。
基本的にはバラつきをなくす以外はランダムな選択によりゲームを進め、最後の一手(5ラウンド目の3ターン目)だけは最適なものを選ぶ。
このとき、第4ラウンド終了時の他プレイヤーとの点差と、最終的なゲーム結果を集計してみた。
100000回の勝負で。

-43,-32 : [0, 1, 0, 0, 0]
-41,-32 : [0, 1, 0, 0, 0]
-40,-40 : [1, 0, 0, 0, 0]
-40,-29 : [0, 1, 0, 0, 0]
-40,-28 : [0, 1, 0, 0, 0]
-39,-39 : [0, 1, 0, 0, 0]
-39,-30 : [0, 1, 0, 0, 0]
-39,-28 : [0, 1, 0, 0, 0]
-39, -9 : [0, 1, 0, 0, 0]
-38,-38 : [0, 1, 0, 0, 0]
-38,-32 : [0, 1, 0, 0, 0]
-38,-26 : [0, 1, 0, 0, 0]
-37,-37 : [3, 1, 0, 0, 0]
-37,-30 : [0, 1, 0, 0, 0]
-37,-29 : [0, 2, 0, 0, 0]
-37,-28 : [0, 1, 0, 0, 0]
-37,-26 : [0, 1, 0, 0, 0]
-37,-10 : [0, 1, 0, 0, 0]
-36,-36 : [5, 4, 0, 0, 0]
-36,-30 : [0, 1, 0, 0, 0]
-36,-29 : [0, 2, 0, 0, 0]
-36,-27 : [0, 1, 0, 0, 0]
-36,-26 : [1, 3, 0, 0, 0]
-36,-25 : [0, 1, 0, 0, 0]
-36,-24 : [0, 1, 0, 0, 0]
-36,-23 : [0, 1, 0, 0, 0]
-36,-21 : [0, 1, 0, 0, 0]
-35,-35 : [1, 4, 0, 0, 0]
-35,-28 : [0, 1, 0, 0, 0]
-35,-27 : [0, 1, 0, 0, 0]
-35,-26 : [0, 2, 0, 0, 0]
-35,-25 : [0, 1, 0, 0, 0]
-35,-23 : [0, 1, 0, 0, 0]
-35,-21 : [0, 1, 0, 0, 0]
-35,-19 : [0, 1, 0, 0, 0]
-35,-16 : [0, 1, 0, 0, 0]
-34,-34 : [2, 10, 0, 0, 0]
-34,-31 : [0, 1, 0, 0, 0]
-34,-28 : [0, 1, 0, 0, 0]
-34,-26 : [0, 5, 0, 0, 0]
-34,-25 : [0, 2, 0, 0, 0]
-34,-24 : [0, 4, 0, 0, 0]
-34,-23 : [0, 3, 0, 0, 0]
-34,-22 : [0, 2, 0, 0, 0]
-34,-18 : [0, 1, 0, 0, 0]
-34,-17 : [0, 2, 0, 0, 0]
-33,-33 : [11, 13, 0, 0, 0]
-33,-29 : [0, 1, 0, 0, 0]
-33,-28 : [0, 1, 0, 0, 0]
-33,-27 : [0, 2, 0, 0, 0]
-33,-24 : [1, 6, 0, 0, 0]
-33,-23 : [0, 3, 0, 0, 0]
-33,-22 : [0, 1, 0, 0, 0]
-33,-21 : [0, 1, 0, 0, 0]
-33,-17 : [0, 1, 0, 0, 0]
-33, -7 : [0, 0, 0, 0, 1]
-32,-32 : [14, 16, 0, 0, 0]
-32,-29 : [0, 2, 0, 0, 0]
-32,-28 : [0, 2, 0, 0, 0]
-32,-27 : [0, 1, 0, 0, 0]
-32,-26 : [0, 6, 0, 0, 0]
-32,-25 : [0, 1, 0, 0, 0]
-32,-24 : [0, 3, 0, 0, 0]
-32,-23 : [0, 6, 0, 0, 0]
-32,-22 : [0, 4, 0, 0, 0]
-32,-21 : [0, 2, 0, 0, 0]
-32,-20 : [0, 2, 0, 0, 0]
-32,-19 : [0, 1, 0, 0, 0]
-32,-18 : [0, 2, 0, 0, 0]
-32,-16 : [0, 1, 0, 0, 0]
-32,-14 : [0, 1, 0, 0, 0]
-32,-13 : [0, 1, 0, 0, 0]
-32,-12 : [0, 1, 0, 0, 0]
-31,-31 : [7, 23, 0, 0, 0]
-31,-30 : [0, 1, 0, 0, 0]
-31,-29 : [0, 2, 0, 0, 0]
-31,-28 : [0, 2, 0, 0, 0]
-31,-27 : [0, 2, 0, 0, 0]
-31,-26 : [0, 1, 0, 0, 0]
-31,-25 : [0, 2, 0, 0, 0]
-31,-24 : [0, 7, 0, 0, 0]
-31,-23 : [0, 6, 0, 0, 0]
-31,-22 : [0, 9, 0, 0, 0]
-31,-21 : [0, 9, 0, 0, 0]
-31,-20 : [0, 3, 0, 0, 0]
-31,-19 : [0, 1, 0, 0, 0]
-31,-18 : [0, 3, 0, 0, 0]
-31,-15 : [0, 1, 0, 0, 0]
-31,-14 : [0, 1, 0, 0, 0]
-31,-13 : [0, 1, 0, 0, 0]
-31,-12 : [0, 2, 0, 0, 0]
-31,-11 : [0, 1, 0, 0, 0]
-30,-30 : [13, 40, 0, 0, 0]
-30,-28 : [0, 1, 0, 0, 0]
-30,-27 : [0, 3, 0, 0, 0]
-30,-26 : [0, 3, 0, 0, 0]
-30,-25 : [0, 8, 0, 0, 0]
-30,-24 : [0, 10, 0, 0, 0]
-30,-23 : [0, 6, 0, 0, 0]
-30,-22 : [0, 10, 0, 0, 0]
-30,-21 : [1, 4, 0, 0, 0]
-30,-20 : [0, 8, 0, 0, 0]
-30,-19 : [0, 5, 0, 0, 0]
-30,-18 : [0, 5, 0, 0, 0]
-30,-17 : [0, 1, 0, 0, 0]
-30,-16 : [0, 3, 0, 0, 0]
-30,-15 : [0, 4, 0, 0, 0]
-30,-14 : [0, 2, 0, 0, 0]
-30,-13 : [0, 1, 0, 0, 0]
-30,-12 : [0, 5, 0, 0, 0]
-30,-10 : [0, 1, 0, 0, 0]
-30, -9 : [0, 2, 0, 0, 0]
-30, -8 : [0, 1, 0, 0, 0]
-30, -7 : [0, 1, 0, 0, 0]
-30, -5 : [0, 0, 0, 0, 1]
-29,-29 : [14, 47, 0, 0, 0]
-29,-28 : [0, 1, 0, 0, 0]
-29,-27 : [0, 7, 0, 0, 0]
-29,-26 : [0, 4, 0, 0, 0]
-29,-25 : [1, 13, 0, 0, 0]
-29,-24 : [0, 6, 0, 0, 0]
-29,-23 : [0, 16, 0, 0, 0]
-29,-22 : [0, 13, 0, 0, 0]
-29,-21 : [0, 11, 0, 0, 0]
-29,-20 : [0, 6, 0, 0, 0]
-29,-19 : [0, 8, 0, 0, 0]
-29,-18 : [0, 2, 0, 0, 0]
-29,-17 : [0, 5, 0, 0, 0]
-29,-16 : [0, 3, 0, 0, 0]
-29,-15 : [0, 6, 0, 0, 0]
-29,-14 : [0, 1, 0, 0, 0]
-29,-13 : [0, 4, 0, 0, 0]
-29,-12 : [0, 2, 0, 0, 0]
-29,-11 : [0, 1, 0, 0, 0]
-29,-10 : [0, 3, 0, 0, 0]
-29, -9 : [0, 2, 0, 0, 0]
-29, -6 : [0, 1, 0, 0, 0]
-29, -4 : [0, 0, 0, 0, 1]
-29, -2 : [0, 0, 0, 0, 1]
-28,-28 : [20, 46, 0, 0, 0]
-28,-27 : [0, 3, 0, 0, 0]
-28,-26 : [0, 6, 0, 0, 0]
-28,-25 : [0, 7, 0, 0, 0]
-28,-24 : [0, 14, 0, 0, 0]
-28,-23 : [0, 20, 0, 0, 0]
-28,-22 : [0, 23, 0, 0, 0]
-28,-21 : [0, 12, 0, 0, 0]
-28,-20 : [0, 19, 0, 0, 0]
-28,-19 : [0, 9, 0, 0, 0]
-28,-18 : [0, 18, 0, 0, 0]
-28,-17 : [0, 7, 0, 0, 0]
-28,-16 : [0, 10, 0, 0, 0]
-28,-15 : [0, 7, 0, 0, 0]
-28,-14 : [0, 3, 0, 0, 0]
-28,-13 : [0, 7, 0, 0, 0]
-28,-12 : [0, 7, 0, 0, 0]
-28,-11 : [0, 5, 0, 0, 0]
-28,-10 : [0, 3, 0, 0, 0]
-28, -9 : [0, 5, 0, 0, 0]
-28, -8 : [0, 4, 0, 1, 0]
-28, -7 : [0, 0, 0, 0, 1]
-28, -6 : [0, 1, 0, 0, 0]
-28, -5 : [0, 1, 0, 0, 0]
-28, -4 : [0, 1, 0, 0, 0]
-28,  4 : [0, 0, 0, 0, 1]
-28, 10 : [0, 0, 0, 0, 1]
-27,-27 : [23, 65, 0, 0, 0]
-27,-26 : [0, 3, 0, 0, 0]
-27,-25 : [0, 10, 0, 0, 0]
-27,-24 : [0, 15, 0, 0, 0]
-27,-23 : [0, 14, 0, 0, 0]
-27,-22 : [0, 21, 0, 0, 0]
-27,-21 : [0, 24, 0, 0, 0]
-27,-20 : [0, 20, 0, 0, 0]
-27,-19 : [1, 24, 0, 0, 0]
-27,-18 : [0, 26, 0, 0, 0]
-27,-17 : [0, 11, 0, 0, 0]
-27,-16 : [0, 11, 0, 0, 0]
-27,-15 : [0, 6, 0, 0, 0]
-27,-14 : [0, 1, 0, 0, 0]
-27,-13 : [0, 4, 0, 0, 0]
-27,-12 : [0, 9, 0, 0, 0]
-27,-11 : [0, 1, 0, 0, 0]
-27,-10 : [0, 6, 0, 0, 0]
-27, -9 : [0, 4, 0, 0, 0]
-27, -8 : [0, 5, 0, 1, 0]
-27, -7 : [0, 2, 0, 0, 2]
-27, -6 : [0, 2, 0, 0, 0]
-27, -5 : [0, 3, 0, 0, 0]
-27, -2 : [0, 0, 0, 0, 1]
-27,  0 : [0, 0, 0, 1, 1]
-26,-26 : [29, 62, 0, 0, 0]
-26,-25 : [0, 1, 0, 0, 0]
-26,-24 : [0, 8, 0, 0, 0]
-26,-23 : [0, 12, 0, 0, 0]
-26,-22 : [0, 24, 0, 0, 0]
-26,-21 : [1, 32, 0, 0, 0]
-26,-20 : [1, 32, 0, 0, 0]
-26,-19 : [0, 35, 0, 0, 0]
-26,-18 : [0, 30, 0, 0, 0]
-26,-17 : [0, 18, 0, 0, 0]
-26,-16 : [0, 24, 0, 0, 0]
-26,-15 : [0, 12, 0, 0, 0]
-26,-14 : [0, 21, 0, 0, 0]
-26,-13 : [0, 13, 0, 0, 0]
-26,-12 : [0, 8, 0, 0, 0]
-26,-11 : [0, 6, 0, 0, 0]
-26,-10 : [0, 8, 0, 0, 0]
-26, -9 : [0, 7, 0, 1, 0]
-26, -8 : [0, 5, 0, 0, 0]
-26, -7 : [0, 4, 0, 0, 2]
-26, -6 : [0, 1, 0, 0, 1]
-26, -5 : [0, 0, 0, 1, 2]
-26, -3 : [0, 1, 0, 0, 1]
-26, -2 : [0, 2, 0, 0, 0]
-26, -1 : [0, 1, 0, 0, 0]
-26, 11 : [0, 0, 0, 0, 1]
-25,-25 : [32, 67, 0, 0, 0]
-25,-24 : [0, 2, 0, 0, 0]
-25,-23 : [0, 13, 0, 0, 0]
-25,-22 : [0, 20, 0, 0, 0]
-25,-21 : [0, 31, 0, 0, 0]
-25,-20 : [1, 37, 0, 0, 0]
-25,-19 : [1, 43, 0, 0, 0]
-25,-18 : [1, 45, 0, 0, 0]
-25,-17 : [1, 42, 0, 0, 0]
-25,-16 : [0, 37, 0, 0, 0]
-25,-15 : [0, 27, 0, 0, 0]
-25,-14 : [0, 17, 0, 0, 0]
-25,-13 : [0, 11, 0, 0, 0]
-25,-12 : [0, 18, 0, 0, 0]
-25,-11 : [0, 11, 0, 0, 0]
-25,-10 : [0, 11, 0, 0, 0]
-25, -9 : [0, 8, 0, 0, 1]
-25, -8 : [0, 5, 0, 0, 0]
-25, -7 : [0, 8, 0, 1, 2]
-25, -6 : [0, 2, 0, 0, 1]
-25, -5 : [0, 2, 0, 0, 1]
-25, -4 : [0, 0, 0, 0, 1]
-25, -3 : [0, 1, 0, 0, 1]
-25, -2 : [0, 0, 0, 0, 1]
-25, -1 : [0, 1, 0, 0, 0]
-25,  0 : [0, 0, 0, 1, 1]
-25,  6 : [0, 0, 0, 0, 1]
-24,-24 : [25, 74, 0, 0, 0]
-24,-23 : [0, 5, 0, 0, 0]
-24,-22 : [0, 18, 0, 0, 0]
-24,-21 : [0, 28, 0, 0, 0]
-24,-20 : [1, 45, 0, 0, 0]
-24,-19 : [2, 51, 0, 0, 0]
-24,-18 : [2, 40, 0, 0, 0]
-24,-17 : [0, 56, 0, 0, 0]
-24,-16 : [1, 55, 0, 0, 0]
-24,-15 : [0, 40, 0, 0, 0]
-24,-14 : [0, 25, 0, 0, 0]
-24,-13 : [0, 18, 0, 0, 0]
-24,-12 : [0, 15, 0, 1, 0]
-24,-11 : [0, 11, 0, 0, 0]
-24,-10 : [0, 8, 0, 0, 0]
-24, -9 : [0, 9, 0, 1, 0]
-24, -8 : [0, 7, 0, 2, 0]
-24, -7 : [0, 10, 0, 1, 3]
-24, -6 : [0, 8, 0, 0, 2]
-24, -5 : [0, 8, 0, 1, 2]
-24, -4 : [0, 0, 0, 0, 1]
-24, -3 : [0, 3, 0, 0, 1]
-24, -2 : [0, 3, 0, 0, 0]
-24, -1 : [0, 0, 0, 0, 3]
-24,  0 : [0, 0, 0, 0, 1]
-24,  2 : [0, 0, 0, 0, 1]
-24,  5 : [0, 0, 0, 0, 1]
-23,-23 : [31, 89, 0, 0, 0]
-23,-21 : [1, 18, 0, 0, 0]
-23,-20 : [0, 35, 0, 0, 0]
-23,-19 : [0, 51, 0, 0, 0]
-23,-18 : [0, 62, 0, 0, 0]
-23,-17 : [4, 60, 0, 0, 0]
-23,-16 : [2, 53, 0, 0, 0]
-23,-15 : [1, 53, 0, 0, 0]
-23,-14 : [0, 55, 0, 0, 0]
-23,-13 : [0, 52, 0, 0, 0]
-23,-12 : [0, 22, 0, 2, 0]
-23,-11 : [0, 15, 0, 0, 1]
-23,-10 : [0, 10, 0, 1, 1]
-23, -9 : [0, 6, 0, 2, 1]
-23, -8 : [0, 12, 0, 0, 2]
-23, -7 : [0, 15, 0, 1, 2]
-23, -6 : [0, 10, 0, 0, 0]
-23, -5 : [0, 9, 0, 0, 3]
-23, -4 : [0, 4, 0, 0, 3]
-23, -3 : [0, 6, 0, 0, 3]
-23, -2 : [0, 1, 0, 0, 4]
-23, -1 : [0, 1, 0, 0, 2]
-23,  0 : [0, 0, 0, 1, 2]
-23,  1 : [0, 0, 0, 0, 2]
-23,  5 : [0, 0, 0, 0, 1]
-23, 10 : [0, 0, 0, 0, 1]
-22,-22 : [36, 81, 0, 0, 0]
-22,-21 : [0, 10, 0, 0, 0]
-22,-20 : [0, 22, 0, 0, 0]
-22,-19 : [0, 43, 0, 0, 0]
-22,-18 : [0, 53, 0, 0, 0]
-22,-17 : [2, 62, 0, 0, 0]
-22,-16 : [1, 66, 0, 0, 0]
-22,-15 : [2, 90, 0, 0, 0]
-22,-14 : [4, 83, 0, 0, 0]
-22,-13 : [2, 56, 0, 1, 0]
-22,-12 : [0, 63, 0, 0, 1]
-22,-11 : [0, 34, 0, 0, 0]
-22,-10 : [0, 24, 0, 0, 0]
-22, -9 : [0, 16, 0, 0, 2]
-22, -8 : [0, 11, 0, 1, 1]
-22, -7 : [0, 12, 0, 0, 5]
-22, -6 : [0, 11, 0, 1, 9]
-22, -5 : [0, 13, 0, 1, 2]
-22, -4 : [0, 3, 0, 0, 2]
-22, -3 : [0, 7, 0, 0, 4]
-22, -2 : [0, 6, 0, 0, 5]
-22, -1 : [0, 1, 0, 0, 2]
-22,  0 : [0, 0, 0, 1, 1]
-22,  1 : [0, 2, 0, 0, 3]
-22,  2 : [0, 1, 0, 0, 3]
-22,  3 : [0, 1, 0, 0, 4]
-22,  4 : [0, 0, 0, 0, 2]
-22,  6 : [0, 0, 0, 0, 2]
-22,  8 : [0, 0, 0, 0, 2]
-22, 13 : [0, 0, 0, 0, 1]
-21,-21 : [40, 91, 0, 0, 0]
-21,-20 : [0, 14, 0, 0, 0]
-21,-19 : [0, 22, 0, 0, 0]
-21,-18 : [0, 43, 0, 0, 0]
-21,-17 : [0, 50, 0, 0, 0]
-21,-16 : [2, 71, 0, 0, 0]
-21,-15 : [2, 67, 0, 0, 0]
-21,-14 : [1, 73, 0, 0, 0]
-21,-13 : [4, 75, 0, 0, 0]
-21,-12 : [1, 70, 0, 0, 0]
-21,-11 : [0, 52, 0, 3, 1]
-21,-10 : [0, 44, 0, 1, 3]
-21, -9 : [0, 29, 0, 2, 4]
-21, -8 : [0, 26, 0, 1, 5]
-21, -7 : [0, 22, 0, 1, 3]
-21, -6 : [0, 24, 0, 0, 1]
-21, -5 : [0, 15, 0, 0, 9]
-21, -4 : [0, 9, 0, 2, 1]
-21, -3 : [0, 11, 0, 0, 6]
-21, -2 : [0, 11, 0, 0, 2]
-21, -1 : [0, 5, 0, 0, 4]
-21,  0 : [0, 2, 0, 3, 4]
-21,  1 : [0, 1, 0, 0, 3]
-21,  2 : [0, 1, 0, 0, 4]
-21,  3 : [0, 1, 0, 0, 6]
-21,  4 : [0, 0, 0, 0, 5]
-21,  5 : [0, 0, 0, 0, 3]
-21,  6 : [0, 0, 0, 0, 2]
-21,  8 : [0, 0, 0, 0, 2]
-21,  9 : [0, 0, 0, 0, 2]
-21, 10 : [0, 0, 0, 0, 2]
-21, 12 : [0, 0, 0, 0, 1]
-20,-20 : [28, 80, 0, 0, 0]
-20,-19 : [0, 14, 0, 0, 0]
-20,-18 : [1, 35, 0, 0, 0]
-20,-17 : [0, 46, 0, 0, 0]
-20,-16 : [0, 88, 0, 0, 0]
-20,-15 : [2, 82, 0, 0, 0]
-20,-14 : [1, 96, 0, 0, 0]
-20,-13 : [1, 85, 0, 0, 0]
-20,-12 : [1, 83, 0, 2, 1]
-20,-11 : [0, 50, 0, 0, 1]
-20,-10 : [3, 51, 0, 1, 2]
-20, -9 : [0, 55, 0, 0, 4]
-20, -8 : [0, 26, 0, 2, 3]
-20, -7 : [0, 34, 0, 2, 4]
-20, -6 : [0, 31, 0, 0, 10]
-20, -5 : [0, 28, 0, 1, 10]
-20, -4 : [0, 20, 0, 0, 10]
-20, -3 : [0, 13, 0, 2, 7]
-20, -2 : [0, 8, 0, 0, 5]
-20, -1 : [0, 5, 0, 0, 3]
-20,  0 : [0, 1, 0, 6, 3]
-20,  1 : [0, 1, 0, 0, 4]
-20,  2 : [0, 0, 0, 0, 6]
-20,  3 : [0, 0, 0, 0, 3]
-20,  4 : [0, 1, 0, 0, 3]
-20,  5 : [0, 1, 0, 0, 6]
-20,  6 : [0, 0, 0, 0, 4]
-20,  7 : [0, 0, 0, 0, 3]
-20,  8 : [0, 0, 0, 0, 4]
-20,  9 : [0, 0, 0, 0, 3]
-20, 10 : [0, 0, 0, 0, 1]
-20, 11 : [0, 0, 0, 0, 2]
-20, 12 : [0, 0, 0, 0, 1]
-19,-19 : [45, 93, 0, 0, 0]
-19,-18 : [0, 20, 0, 0, 0]
-19,-17 : [0, 37, 0, 0, 0]
-19,-16 : [0, 76, 0, 0, 0]
-19,-15 : [1, 65, 0, 0, 0]
-19,-14 : [2, 97, 0, 0, 0]
-19,-13 : [4, 106, 0, 3, 0]
-19,-12 : [1, 94, 0, 2, 0]
-19,-11 : [4, 92, 0, 3, 0]
-19,-10 : [4, 94, 0, 8, 3]
-19, -9 : [1, 65, 0, 7, 5]
-19, -8 : [0, 48, 0, 3, 7]
-19, -7 : [0, 53, 0, 0, 6]
-19, -6 : [0, 43, 0, 3, 8]
-19, -5 : [0, 28, 0, 1, 12]
-19, -4 : [0, 30, 0, 3, 10]
-19, -3 : [0, 24, 0, 1, 11]
-19, -2 : [0, 23, 0, 0, 13]
-19, -1 : [0, 14, 0, 0, 5]
-19,  0 : [0, 2, 0, 13, 4]
-19,  1 : [0, 1, 0, 0, 14]
-19,  2 : [0, 1, 0, 0, 10]
-19,  3 : [0, 1, 0, 0, 10]
-19,  4 : [0, 1, 0, 1, 5]
-19,  5 : [0, 0, 0, 0, 5]
-19,  6 : [0, 0, 0, 1, 10]
-19,  7 : [0, 1, 0, 0, 2]
-19,  8 : [0, 0, 0, 0, 6]
-19,  9 : [0, 0, 0, 0, 2]
-19, 10 : [0, 0, 0, 0, 1]
-19, 11 : [0, 0, 0, 0, 1]
-19, 12 : [0, 0, 0, 0, 1]
-19, 13 : [0, 0, 0, 0, 1]
-19, 14 : [0, 0, 0, 0, 1]
-19, 16 : [0, 0, 0, 0, 1]
-18,-18 : [39, 83, 0, 0, 0]
-18,-17 : [0, 30, 0, 0, 0]
-18,-16 : [1, 44, 0, 0, 0]
-18,-15 : [1, 73, 0, 0, 0]
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 -6, 15 : [0, 15, 0, 1, 75]
 -6, 16 : [0, 10, 0, 0, 71]
 -6, 17 : [0, 7, 0, 0, 51]
 -6, 18 : [0, 6, 0, 3, 57]
 -6, 19 : [0, 7, 0, 2, 37]
 -6, 20 : [0, 0, 0, 1, 21]
 -6, 21 : [0, 2, 0, 0, 21]
 -6, 22 : [0, 2, 0, 0, 18]
 -6, 23 : [0, 3, 0, 1, 12]
 -6, 24 : [0, 1, 0, 0, 6]
 -6, 25 : [0, 1, 0, 1, 4]
 -6, 26 : [0, 1, 0, 0, 5]
 -6, 27 : [0, 0, 0, 0, 1]
 -5, -5 : [53, 21, 1, 9, 89]
 -5, -4 : [1, 101, 0, 9, 128]
 -5, -3 : [1, 82, 0, 14, 131]
 -5, -2 : [6, 83, 0, 10, 131]
 -5, -1 : [1, 89, 0, 7, 131]
 -5,  0 : [1, 37, 13, 88, 76]
 -5,  1 : [6, 84, 0, 5, 121]
 -5,  2 : [5, 78, 0, 11, 118]
 -5,  3 : [8, 53, 0, 7, 98]
 -5,  4 : [6, 59, 0, 8, 113]
 -5,  5 : [4, 51, 0, 16, 131]
 -5,  6 : [4, 47, 0, 6, 130]
 -5,  7 : [0, 25, 0, 9, 110]
 -5,  8 : [0, 25, 0, 9, 132]
 -5,  9 : [0, 36, 0, 8, 113]
 -5, 10 : [0, 20, 0, 5, 110]
 -5, 11 : [0, 26, 0, 6, 96]
 -5, 12 : [0, 12, 0, 3, 94]
 -5, 13 : [0, 13, 0, 3, 82]
 -5, 14 : [0, 12, 0, 0, 97]
 -5, 15 : [0, 16, 0, 1, 78]
 -5, 16 : [0, 8, 0, 0, 53]
 -5, 17 : [0, 11, 0, 2, 65]
 -5, 18 : [0, 15, 0, 3, 52]
 -5, 19 : [0, 11, 0, 0, 39]
 -5, 20 : [0, 5, 0, 0, 25]
 -5, 21 : [0, 5, 0, 1, 23]
 -5, 22 : [0, 1, 0, 0, 16]
 -5, 23 : [0, 3, 0, 1, 8]
 -5, 24 : [0, 0, 0, 0, 7]
 -5, 25 : [0, 0, 0, 0, 6]
 -5, 26 : [0, 2, 0, 0, 4]
 -5, 27 : [0, 0, 0, 0, 1]
 -5, 28 : [0, 0, 0, 0, 1]
 -4, -4 : [45, 19, 0, 10, 64]
 -4, -3 : [0, 90, 0, 7, 146]
 -4, -2 : [2, 91, 0, 11, 149]
 -4, -1 : [8, 82, 0, 11, 161]
 -4,  0 : [0, 50, 2, 101, 79]
 -4,  1 : [8, 79, 0, 9, 153]
 -4,  2 : [5, 97, 0, 5, 119]
 -4,  3 : [15, 91, 0, 5, 116]
 -4,  4 : [4, 48, 0, 9, 118]
 -4,  5 : [3, 59, 0, 16, 109]
 -4,  6 : [4, 61, 0, 16, 116]
 -4,  7 : [4, 37, 0, 8, 110]
 -4,  8 : [0, 44, 0, 7, 100]
 -4,  9 : [0, 27, 0, 6, 100]
 -4, 10 : [0, 30, 0, 6, 78]
 -4, 11 : [0, 27, 0, 6, 88]
 -4, 12 : [0, 24, 0, 5, 97]
 -4, 13 : [0, 18, 0, 0, 94]
 -4, 14 : [0, 15, 0, 0, 64]
 -4, 15 : [0, 11, 0, 2, 63]
 -4, 16 : [0, 6, 0, 1, 47]
 -4, 17 : [0, 10, 0, 1, 51]
 -4, 18 : [0, 10, 0, 0, 38]
 -4, 19 : [0, 7, 0, 3, 30]
 -4, 20 : [0, 7, 0, 1, 36]
 -4, 21 : [0, 3, 0, 0, 22]
 -4, 22 : [0, 5, 0, 0, 16]
 -4, 23 : [0, 4, 0, 0, 9]
 -4, 24 : [0, 0, 0, 0, 7]
 -4, 25 : [0, 0, 0, 0, 2]
 -4, 26 : [0, 0, 0, 0, 4]
 -4, 27 : [0, 0, 0, 0, 2]
 -4, 28 : [0, 0, 0, 0, 2]
 -4, 29 : [0, 0, 0, 0, 2]
 -3, -3 : [50, 9, 0, 2, 90]
 -3, -2 : [0, 82, 0, 9, 171]
 -3, -1 : [3, 79, 0, 4, 180]
 -3,  0 : [0, 48, 2, 98, 99]
 -3,  1 : [8, 138, 0, 11, 119]
 -3,  2 : [6, 101, 0, 10, 126]
 -3,  3 : [7, 94, 0, 9, 110]
 -3,  4 : [6, 83, 0, 5, 128]
 -3,  5 : [5, 62, 0, 6, 100]
 -3,  6 : [2, 42, 0, 10, 99]
 -3,  7 : [1, 45, 0, 8, 117]
 -3,  8 : [1, 26, 0, 10, 104]
 -3,  9 : [1, 35, 0, 3, 96]
 -3, 10 : [0, 30, 0, 4, 92]
 -3, 11 : [0, 32, 0, 5, 105]
 -3, 12 : [0, 17, 0, 1, 87]
 -3, 13 : [0, 21, 0, 3, 66]
 -3, 14 : [0, 11, 0, 0, 56]
 -3, 15 : [0, 11, 0, 0, 37]
 -3, 16 : [0, 12, 0, 0, 44]
 -3, 17 : [0, 10, 0, 1, 34]
 -3, 18 : [0, 8, 0, 0, 27]
 -3, 19 : [0, 6, 0, 0, 27]
 -3, 20 : [0, 2, 0, 2, 20]
 -3, 21 : [0, 7, 0, 0, 19]
 -3, 22 : [0, 2, 0, 1, 18]
 -3, 23 : [0, 4, 0, 0, 14]
 -3, 24 : [0, 2, 0, 0, 14]
 -3, 25 : [0, 3, 0, 0, 8]
 -3, 26 : [0, 1, 0, 0, 3]
 -3, 27 : [0, 0, 0, 0, 4]
 -3, 28 : [0, 0, 0, 1, 0]
 -3, 29 : [0, 1, 0, 0, 3]
 -2, -2 : [46, 4, 0, 1, 88]
 -2, -1 : [0, 81, 0, 2, 172]
 -2,  0 : [0, 53, 4, 125, 85]
 -2,  1 : [2, 122, 0, 4, 115]
 -2,  2 : [8, 119, 0, 6, 116]
 -2,  3 : [2, 113, 0, 11, 127]
 -2,  4 : [4, 82, 0, 7, 114]
 -2,  5 : [5, 80, 0, 11, 117]
 -2,  6 : [6, 66, 0, 9, 115]
 -2,  7 : [4, 57, 0, 10, 140]
 -2,  8 : [2, 37, 0, 8, 102]
 -2,  9 : [1, 39, 0, 5, 105]
 -2, 10 : [1, 24, 0, 3, 95]
 -2, 11 : [0, 25, 0, 2, 88]
 -2, 12 : [0, 14, 0, 1, 79]
 -2, 13 : [0, 16, 0, 0, 50]
 -2, 14 : [0, 16, 0, 1, 61]
 -2, 15 : [0, 9, 0, 1, 54]
 -2, 16 : [0, 9, 0, 0, 37]
 -2, 17 : [0, 4, 0, 0, 27]
 -2, 18 : [0, 8, 0, 0, 31]
 -2, 19 : [0, 4, 0, 1, 14]
 -2, 20 : [0, 2, 0, 0, 16]
 -2, 21 : [0, 3, 0, 0, 14]
 -2, 22 : [0, 5, 0, 0, 12]
 -2, 23 : [0, 2, 0, 1, 11]
 -2, 24 : [0, 0, 0, 0, 9]
 -2, 25 : [0, 2, 0, 0, 3]
 -2, 26 : [0, 1, 0, 0, 3]
 -2, 27 : [0, 0, 0, 0, 2]
 -2, 28 : [0, 1, 0, 0, 0]
 -2, 30 : [0, 0, 0, 0, 2]
 -1, -1 : [37, 3, 0, 0, 100]
 -1,  0 : [0, 62, 1, 120, 93]
 -1,  1 : [3, 131, 0, 0, 158]
 -1,  2 : [8, 104, 0, 3, 136]
 -1,  3 : [10, 81, 0, 10, 139]
 -1,  4 : [5, 80, 0, 2, 114]
 -1,  5 : [4, 69, 0, 11, 121]
 -1,  6 : [8, 58, 0, 15, 116]
 -1,  7 : [6, 54, 0, 7, 114]
 -1,  8 : [2, 43, 0, 8, 100]
 -1,  9 : [0, 33, 0, 3, 112]
 -1, 10 : [0, 26, 0, 5, 104]
 -1, 11 : [1, 27, 0, 0, 79]
 -1, 12 : [0, 23, 0, 2, 69]
 -1, 13 : [0, 16, 0, 0, 64]
 -1, 14 : [0, 11, 0, 0, 53]
 -1, 15 : [0, 14, 0, 0, 49]
 -1, 16 : [0, 5, 0, 0, 25]
 -1, 17 : [0, 3, 0, 0, 18]
 -1, 18 : [0, 4, 0, 0, 11]
 -1, 19 : [0, 2, 0, 0, 8]
 -1, 20 : [0, 0, 0, 0, 12]
 -1, 21 : [0, 1, 0, 0, 5]
 -1, 22 : [0, 1, 0, 0, 5]
 -1, 23 : [0, 0, 0, 0, 5]
 -1, 24 : [0, 2, 0, 0, 3]
 -1, 25 : [0, 0, 0, 0, 3]
 -1, 26 : [0, 0, 0, 0, 2]
 -1, 27 : [0, 1, 0, 0, 1]
 -1, 28 : [0, 0, 0, 0, 1]
 -1, 31 : [0, 0, 0, 0, 1]
  0,  0 : [34, 0, 19, 122, 0]
  0,  1 : [0, 130, 0, 131, 9]
  0,  2 : [2, 119, 0, 144, 16]
  0,  3 : [6, 104, 0, 164, 10]
  0,  4 : [5, 90, 1, 134, 33]
  0,  5 : [7, 95, 2, 132, 39]
  0,  6 : [8, 82, 2, 130, 49]
  0,  7 : [10, 98, 0, 130, 53]
  0,  8 : [9, 80, 0, 130, 66]
  0,  9 : [4, 54, 1, 120, 87]
  0, 10 : [7, 55, 0, 94, 95]
  0, 11 : [1, 71, 0, 110, 111]
  0, 12 : [0, 67, 0, 88, 93]
  0, 13 : [0, 53, 0, 99, 112]
  0, 14 : [0, 55, 0, 100, 92]
  0, 15 : [0, 55, 0, 95, 111]
  0, 16 : [0, 52, 0, 87, 99]
  0, 17 : [0, 61, 0, 83, 96]
  0, 18 : [0, 52, 0, 125, 96]
  0, 19 : [0, 61, 0, 82, 104]
  0, 20 : [0, 73, 0, 90, 73]
  0, 21 : [0, 50, 0, 100, 111]
  0, 22 : [0, 48, 0, 77, 115]
  0, 23 : [0, 45, 0, 93, 83]
  0, 24 : [0, 40, 0, 67, 58]
  0, 25 : [0, 35, 0, 60, 79]
  0, 26 : [0, 35, 0, 57, 60]
  0, 27 : [0, 28, 0, 51, 55]
  0, 28 : [0, 29, 0, 47, 49]
  0, 29 : [0, 12, 0, 28, 51]
  0, 30 : [0, 24, 0, 30, 42]
  0, 31 : [0, 17, 0, 24, 20]
  0, 32 : [0, 17, 0, 30, 28]
  0, 33 : [0, 13, 0, 13, 23]
  0, 34 : [0, 5, 0, 16, 9]
  0, 35 : [0, 5, 0, 14, 9]
  0, 36 : [0, 4, 0, 7, 5]
  0, 37 : [0, 2, 0, 3, 6]
  0, 38 : [0, 2, 0, 3, 2]
  0, 39 : [0, 1, 0, 1, 0]
  0, 40 : [0, 0, 0, 1, 0]
  0, 41 : [0, 0, 0, 0, 1]
  1,  1 : [39, 84, 2, 0, 10]
  1,  2 : [1, 223, 0, 5, 26]
  1,  3 : [0, 235, 0, 12, 23]
  1,  4 : [2, 211, 0, 7, 28]
  1,  5 : [4, 183, 0, 16, 36]
  1,  6 : [7, 135, 0, 15, 36]
  1,  7 : [7, 120, 0, 14, 60]
  1,  8 : [5, 104, 0, 8, 51]
  1,  9 : [8, 91, 0, 11, 60]
  1, 10 : [4, 63, 0, 4, 53]
  1, 11 : [1, 79, 0, 3, 52]
  1, 12 : [2, 66, 0, 2, 47]
  1, 13 : [0, 50, 0, 0, 39]
  1, 14 : [0, 43, 0, 0, 47]
  1, 15 : [0, 31, 0, 0, 29]
  1, 16 : [0, 28, 0, 0, 20]
  1, 17 : [0, 30, 0, 0, 17]
  1, 18 : [0, 11, 0, 0, 7]
  1, 19 : [0, 14, 0, 0, 10]
  1, 20 : [0, 6, 0, 0, 6]
  1, 21 : [0, 4, 0, 0, 3]
  1, 22 : [0, 2, 0, 0, 2]
  1, 23 : [0, 1, 0, 0, 6]
  1, 24 : [0, 1, 0, 0, 1]
  1, 25 : [0, 3, 0, 0, 3]
  1, 26 : [0, 3, 0, 0, 0]
  1, 27 : [0, 1, 0, 0, 1]
  1, 28 : [0, 0, 0, 0, 1]
  2,  2 : [43, 70, 2, 0, 5]
  2,  3 : [1, 213, 0, 11, 16]
  2,  4 : [3, 215, 0, 14, 22]
  2,  5 : [2, 171, 0, 8, 31]
  2,  6 : [4, 168, 0, 13, 47]
  2,  7 : [6, 167, 0, 11, 48]
  2,  8 : [6, 134, 0, 11, 50]
  2,  9 : [4, 117, 0, 8, 66]
  2, 10 : [7, 100, 0, 5, 62]
  2, 11 : [0, 84, 0, 2, 54]
  2, 12 : [2, 67, 0, 1, 68]
  2, 13 : [0, 56, 0, 1, 50]
  2, 14 : [0, 56, 0, 1, 32]
  2, 15 : [0, 42, 0, 0, 35]
  2, 16 : [0, 39, 0, 0, 37]
  2, 17 : [0, 39, 0, 1, 19]
  2, 18 : [0, 14, 0, 0, 17]
  2, 19 : [0, 27, 0, 1, 22]
  2, 20 : [0, 27, 0, 0, 12]
  2, 21 : [0, 15, 0, 0, 11]
  2, 22 : [0, 9, 0, 0, 6]
  2, 23 : [0, 11, 0, 0, 17]
  2, 24 : [0, 14, 0, 0, 7]
  2, 25 : [0, 9, 0, 0, 7]
  2, 26 : [0, 6, 0, 0, 3]
  2, 27 : [0, 3, 0, 0, 0]
  2, 28 : [0, 2, 0, 0, 1]
  2, 30 : [0, 2, 0, 0, 0]
  2, 31 : [0, 1, 0, 0, 0]
  2, 32 : [0, 1, 0, 0, 0]
  2, 33 : [0, 1, 0, 0, 0]
  3,  3 : [31, 102, 1, 0, 12]
  3,  4 : [1, 198, 0, 19, 19]
  3,  5 : [1, 162, 0, 21, 29]
  3,  6 : [0, 162, 0, 21, 34]
  3,  7 : [4, 130, 0, 21, 41]
  3,  8 : [6, 128, 0, 17, 63]
  3,  9 : [6, 116, 0, 9, 61]
  3, 10 : [9, 106, 0, 5, 48]
  3, 11 : [2, 105, 0, 8, 53]
  3, 12 : [0, 78, 0, 2, 60]
  3, 13 : [1, 81, 0, 0, 51]
  3, 14 : [1, 64, 0, 1, 46]
  3, 15 : [1, 78, 0, 2, 41]
  3, 16 : [0, 41, 0, 1, 33]
  3, 17 : [0, 49, 0, 1, 33]
  3, 18 : [0, 36, 0, 5, 28]
  3, 19 : [0, 43, 0, 3, 22]
  3, 20 : [0, 22, 0, 0, 20]
  3, 21 : [0, 40, 0, 0, 15]
  3, 22 : [0, 26, 0, 0, 18]
  3, 23 : [0, 18, 0, 0, 15]
  3, 24 : [0, 14, 0, 2, 11]
  3, 25 : [0, 17, 0, 1, 7]
  3, 26 : [0, 10, 0, 0, 3]
  3, 27 : [0, 9, 0, 0, 6]
  3, 28 : [0, 7, 0, 0, 4]
  3, 29 : [0, 6, 0, 0, 2]
  3, 30 : [0, 3, 0, 0, 2]
  3, 31 : [0, 1, 0, 0, 1]
  3, 32 : [0, 1, 0, 0, 1]
  3, 35 : [0, 0, 0, 0, 1]
  4,  4 : [32, 75, 9, 1, 12]
  4,  5 : [0, 211, 0, 23, 18]
  4,  6 : [2, 169, 0, 22, 32]
  4,  7 : [2, 151, 0, 19, 39]
  4,  8 : [7, 125, 0, 20, 36]
  4,  9 : [8, 125, 0, 23, 47]
  4, 10 : [5, 110, 0, 13, 65]
  4, 11 : [3, 102, 0, 3, 60]
  4, 12 : [3, 78, 0, 3, 44]
  4, 13 : [3, 84, 0, 5, 60]
  4, 14 : [1, 100, 0, 5, 53]
  4, 15 : [1, 67, 0, 1, 48]
  4, 16 : [0, 61, 0, 6, 43]
  4, 17 : [0, 63, 0, 6, 44]
  4, 18 : [0, 66, 0, 4, 29]
  4, 19 : [0, 38, 0, 4, 23]
  4, 20 : [0, 46, 0, 1, 22]
  4, 21 : [0, 34, 0, 3, 26]
  4, 22 : [0, 39, 0, 0, 22]
  4, 23 : [0, 33, 0, 1, 12]
  4, 24 : [0, 31, 0, 2, 11]
  4, 25 : [0, 24, 0, 1, 13]
  4, 26 : [0, 15, 0, 1, 12]
  4, 27 : [0, 12, 0, 0, 5]
  4, 28 : [0, 4, 0, 2, 5]
  4, 29 : [0, 8, 0, 0, 3]
  4, 30 : [0, 2, 0, 0, 2]
  4, 31 : [0, 1, 0, 0, 0]
  4, 32 : [0, 1, 0, 0, 1]
  4, 33 : [0, 0, 0, 0, 2]
  4, 37 : [0, 1, 0, 0, 0]
  5,  5 : [33, 50, 7, 1, 5]
  5,  6 : [0, 183, 0, 29, 12]
  5,  7 : [1, 179, 0, 23, 22]
  5,  8 : [3, 123, 0, 17, 32]
  5,  9 : [6, 119, 0, 21, 51]
  5, 10 : [6, 96, 0, 12, 46]
  5, 11 : [4, 105, 0, 9, 61]
  5, 12 : [5, 86, 0, 8, 57]
  5, 13 : [6, 87, 0, 9, 45]
  5, 14 : [3, 95, 0, 3, 66]
  5, 15 : [0, 68, 0, 3, 53]
  5, 16 : [1, 88, 0, 3, 36]
  5, 17 : [1, 76, 0, 6, 47]
  5, 18 : [0, 75, 0, 5, 39]
  5, 19 : [0, 71, 0, 2, 26]
  5, 20 : [0, 67, 0, 3, 35]
  5, 21 : [0, 55, 0, 3, 32]
  5, 22 : [0, 33, 0, 1, 29]
  5, 23 : [0, 41, 0, 2, 16]
  5, 24 : [0, 32, 0, 1, 18]
  5, 25 : [0, 17, 0, 2, 16]
  5, 26 : [0, 30, 0, 1, 10]
  5, 27 : [0, 13, 0, 1, 6]
  5, 28 : [0, 4, 0, 0, 9]
  5, 29 : [0, 8, 0, 0, 3]
  5, 30 : [0, 8, 0, 0, 5]
  5, 31 : [0, 5, 0, 0, 4]
  5, 32 : [0, 4, 0, 0, 0]
  5, 33 : [0, 1, 0, 0, 0]
  5, 35 : [0, 0, 0, 0, 1]
  6,  6 : [27, 50, 3, 2, 2]
  6,  7 : [0, 162, 0, 30, 14]
  6,  8 : [1, 143, 0, 27, 17]
  6,  9 : [3, 117, 0, 22, 27]
  6, 10 : [2, 123, 0, 12, 36]
  6, 11 : [1, 112, 0, 12, 48]
  6, 12 : [5, 101, 0, 4, 50]
  6, 13 : [3, 112, 0, 8, 48]
  6, 14 : [7, 94, 0, 13, 45]
  6, 15 : [1, 96, 0, 10, 35]
  6, 16 : [3, 95, 0, 3, 52]
  6, 17 : [1, 78, 0, 9, 39]
  6, 18 : [1, 66, 0, 7, 33]
  6, 19 : [0, 78, 0, 9, 33]
  6, 20 : [0, 61, 0, 6, 26]
  6, 21 : [0, 51, 0, 1, 17]
  6, 22 : [0, 48, 0, 1, 19]
  6, 23 : [0, 47, 0, 1, 12]
  6, 24 : [0, 41, 0, 3, 22]
  6, 25 : [0, 20, 0, 2, 12]
  6, 26 : [0, 21, 0, 1, 6]
  6, 27 : [0, 16, 0, 0, 4]
  6, 28 : [0, 14, 0, 1, 4]
  6, 29 : [0, 4, 0, 0, 2]
  6, 30 : [0, 7, 0, 1, 1]
  6, 31 : [0, 2, 0, 0, 1]
  6, 32 : [0, 1, 0, 0, 0]
  6, 33 : [0, 3, 0, 0, 0]
  6, 34 : [0, 1, 0, 0, 0]
  6, 35 : [0, 1, 0, 0, 0]
  7,  7 : [26, 57, 6, 1, 11]
  7,  8 : [0, 150, 0, 26, 4]
  7,  9 : [1, 149, 0, 17, 19]
  7, 10 : [3, 120, 0, 13, 16]
  7, 11 : [2, 122, 0, 19, 38]
  7, 12 : [3, 118, 0, 11, 39]
  7, 13 : [6, 121, 0, 9, 42]
  7, 14 : [5, 103, 0, 6, 31]
  7, 15 : [3, 131, 0, 5, 39]
  7, 16 : [2, 102, 0, 12, 27]
  7, 17 : [2, 106, 0, 7, 26]
  7, 18 : [2, 95, 0, 2, 34]
  7, 19 : [0, 92, 0, 7, 33]
  7, 20 : [0, 81, 0, 3, 21]
  7, 21 : [0, 52, 0, 9, 18]
  7, 22 : [0, 55, 0, 2, 9]
  7, 23 : [0, 53, 0, 4, 11]
  7, 24 : [0, 44, 0, 5, 8]
  7, 25 : [0, 30, 0, 1, 6]
  7, 26 : [0, 24, 0, 9, 3]
  7, 27 : [0, 22, 0, 0, 5]
  7, 28 : [0, 15, 0, 1, 5]
  7, 29 : [0, 16, 0, 0, 1]
  7, 30 : [0, 1, 0, 0, 2]
  7, 31 : [0, 3, 0, 0, 0]
  7, 32 : [0, 5, 0, 0, 0]
  7, 33 : [0, 1, 0, 1, 0]
  7, 34 : [0, 3, 0, 0, 0]
  7, 35 : [0, 2, 0, 0, 0]
  7, 36 : [0, 1, 0, 0, 1]
  8,  8 : [21, 45, 7, 1, 8]
  8,  9 : [0, 151, 0, 19, 7]
  8, 10 : [1, 128, 0, 17, 5]
  8, 11 : [0, 136, 0, 19, 25]
  8, 12 : [7, 118, 0, 13, 18]
  8, 13 : [4, 137, 0, 6, 33]
  8, 14 : [3, 122, 0, 8, 26]
  8, 15 : [10, 117, 0, 9, 25]
  8, 16 : [2, 114, 0, 10, 13]
  8, 17 : [8, 113, 0, 6, 17]
  8, 18 : [1, 71, 0, 9, 19]
  8, 19 : [1, 98, 0, 7, 16]
  8, 20 : [2, 77, 0, 6, 16]
  8, 21 : [0, 59, 0, 1, 12]
  8, 22 : [0, 55, 0, 5, 11]
  8, 23 : [0, 41, 0, 4, 6]
  8, 24 : [0, 32, 0, 5, 6]
  8, 25 : [0, 30, 0, 2, 6]
  8, 26 : [0, 34, 0, 1, 4]
  8, 27 : [0, 11, 0, 0, 1]
  8, 28 : [0, 11, 0, 1, 5]
  8, 29 : [0, 12, 0, 0, 1]
  8, 30 : [0, 6, 0, 0, 1]
  8, 31 : [0, 9, 0, 1, 0]
  8, 32 : [0, 1, 0, 0, 1]
  8, 33 : [0, 2, 0, 0, 0]
  8, 34 : [0, 2, 0, 0, 0]
  8, 35 : [0, 1, 0, 0, 0]
  8, 38 : [0, 1, 0, 0, 0]
  9,  9 : [25, 62, 7, 4, 1]
  9, 10 : [0, 153, 0, 19, 3]
  9, 11 : [1, 148, 0, 8, 20]
  9, 12 : [1, 145, 0, 14, 13]
  9, 13 : [5, 138, 0, 7, 14]
  9, 14 : [3, 110, 0, 2, 11]
  9, 15 : [9, 124, 0, 3, 8]
  9, 16 : [1, 141, 0, 6, 13]
  9, 17 : [5, 98, 0, 2, 12]
  9, 18 : [3, 96, 0, 6, 10]
  9, 19 : [2, 105, 0, 7, 6]
  9, 20 : [2, 76, 0, 2, 6]
  9, 21 : [0, 65, 0, 3, 6]
  9, 22 : [0, 54, 0, 1, 4]
  9, 23 : [0, 63, 0, 2, 1]
  9, 24 : [0, 29, 0, 3, 3]
  9, 25 : [0, 31, 0, 2, 3]
  9, 26 : [0, 25, 0, 1, 0]
  9, 27 : [0, 14, 0, 1, 1]
  9, 28 : [0, 10, 0, 1, 0]
  9, 29 : [0, 7, 0, 0, 1]
  9, 30 : [0, 12, 0, 1, 0]
  9, 31 : [0, 5, 0, 0, 0]
  9, 32 : [0, 7, 0, 0, 1]
  9, 33 : [0, 1, 0, 0, 0]
  9, 34 : [0, 2, 0, 0, 0]
  9, 35 : [0, 1, 0, 0, 0]
  9, 37 : [0, 2, 0, 0, 0]
 10, 10 : [24, 38, 2, 3, 1]
 10, 11 : [0, 135, 0, 14, 3]
 10, 12 : [0, 137, 0, 7, 6]
 10, 13 : [0, 135, 0, 5, 8]
 10, 14 : [3, 107, 0, 3, 7]
 10, 15 : [5, 115, 0, 9, 12]
 10, 16 : [2, 110, 0, 3, 2]
 10, 17 : [3, 95, 0, 10, 6]
 10, 18 : [2, 82, 0, 8, 6]
 10, 19 : [1, 72, 0, 6, 3]
 10, 20 : [1, 68, 0, 0, 2]
 10, 21 : [0, 63, 0, 0, 1]
 10, 22 : [0, 36, 0, 6, 3]
 10, 23 : [0, 37, 0, 1, 2]
 10, 24 : [0, 26, 0, 2, 1]
 10, 25 : [0, 24, 0, 0, 1]
 10, 26 : [0, 16, 0, 1, 3]
 10, 27 : [0, 17, 0, 2, 1]
 10, 28 : [0, 12, 0, 0, 1]
 10, 29 : [0, 6, 0, 1, 1]
 10, 30 : [0, 6, 0, 0, 0]
 10, 31 : [0, 4, 0, 0, 0]
 10, 32 : [0, 6, 0, 0, 0]
 10, 33 : [0, 4, 0, 0, 0]
 10, 34 : [0, 2, 0, 0, 0]
 10, 35 : [0, 2, 0, 0, 0]
 10, 37 : [0, 2, 0, 0, 0]
 10, 38 : [0, 1, 0, 0, 0]
 10, 39 : [0, 1, 0, 0, 0]
 11, 11 : [26, 46, 3, 0, 1]
 11, 12 : [0, 128, 0, 6, 0]
 11, 13 : [1, 111, 0, 5, 1]
 11, 14 : [4, 136, 0, 6, 2]
 11, 15 : [2, 134, 0, 2, 4]
 11, 16 : [3, 104, 0, 2, 0]
 11, 17 : [3, 107, 0, 4, 2]
 11, 18 : [7, 69, 0, 2, 3]
 11, 19 : [3, 83, 0, 2, 3]
 11, 20 : [1, 57, 0, 2, 3]
 11, 21 : [0, 59, 0, 2, 0]
 11, 22 : [0, 30, 0, 0, 0]
 11, 23 : [0, 32, 0, 0, 1]
 11, 24 : [0, 27, 0, 1, 0]
 11, 25 : [0, 17, 0, 0, 0]
 11, 26 : [0, 13, 0, 0, 0]
 11, 27 : [0, 14, 0, 0, 0]
 11, 28 : [0, 7, 0, 0, 1]
 11, 29 : [0, 10, 0, 0, 0]
 11, 30 : [0, 5, 0, 0, 0]
 11, 31 : [0, 3, 0, 0, 0]
 11, 32 : [0, 5, 0, 0, 0]
 11, 33 : [0, 4, 0, 0, 0]
 11, 34 : [0, 6, 0, 0, 0]
 11, 35 : [0, 2, 0, 0, 0]
 11, 36 : [0, 2, 0, 0, 0]
 11, 38 : [0, 1, 0, 0, 0]
 11, 40 : [0, 2, 0, 0, 0]
 11, 41 : [0, 1, 0, 0, 0]
 12, 12 : [13, 45, 2, 0, 0]
 12, 13 : [0, 120, 0, 1, 0]
 12, 14 : [0, 105, 0, 0, 1]
 12, 15 : [1, 113, 0, 0, 0]
 12, 16 : [1, 97, 0, 1, 0]
 12, 17 : [1, 102, 0, 1, 0]
 12, 18 : [3, 61, 0, 3, 0]
 12, 19 : [1, 54, 0, 2, 0]
 12, 20 : [2, 22, 0, 0, 0]
 12, 21 : [0, 38, 0, 0, 0]
 12, 22 : [0, 28, 0, 0, 0]
 12, 23 : [0, 14, 0, 1, 0]
 12, 24 : [0, 18, 0, 0, 0]
 12, 25 : [0, 15, 0, 0, 0]
 12, 26 : [0, 6, 0, 0, 0]
 12, 27 : [0, 6, 0, 1, 0]
 12, 28 : [0, 8, 0, 0, 0]
 12, 29 : [0, 4, 0, 0, 0]
 12, 30 : [0, 2, 0, 0, 0]
 12, 32 : [0, 3, 0, 0, 0]
 12, 33 : [0, 4, 0, 0, 0]
 12, 35 : [0, 2, 0, 0, 0]
 12, 36 : [0, 3, 0, 0, 0]
 12, 37 : [0, 2, 0, 0, 0]
 12, 38 : [0, 1, 0, 0, 0]
 12, 39 : [0, 1, 0, 0, 0]
 12, 41 : [0, 1, 0, 0, 0]
 13, 13 : [14, 41, 0, 1, 0]
 13, 14 : [0, 115, 0, 1, 0]
 13, 15 : [0, 98, 0, 0, 0]
 13, 16 : [1, 92, 0, 0, 0]
 13, 17 : [1, 90, 0, 0, 0]
 13, 18 : [2, 69, 0, 0, 0]
 13, 19 : [3, 46, 0, 0, 0]
 13, 20 : [2, 40, 0, 0, 0]
 13, 21 : [1, 25, 0, 0, 0]
 13, 22 : [1, 15, 0, 0, 0]
 13, 23 : [1, 12, 0, 0, 0]
 13, 24 : [0, 6, 0, 0, 0]
 13, 25 : [0, 5, 0, 0, 0]
 13, 26 : [0, 11, 0, 0, 0]
 13, 27 : [0, 4, 0, 0, 0]
 13, 28 : [0, 5, 0, 0, 0]
 13, 29 : [0, 1, 0, 0, 0]
 13, 30 : [0, 3, 0, 0, 0]
 13, 32 : [0, 1, 0, 0, 0]
 13, 34 : [0, 2, 0, 0, 0]
 13, 35 : [0, 1, 0, 0, 0]
 13, 38 : [0, 2, 0, 0, 0]
 14, 14 : [18, 30, 0, 0, 0]
 14, 15 : [0, 97, 0, 0, 0]
 14, 16 : [1, 89, 0, 0, 0]
 14, 17 : [1, 64, 0, 0, 0]
 14, 18 : [3, 52, 0, 0, 0]
 14, 19 : [2, 44, 0, 0, 0]
 14, 20 : [0, 34, 0, 0, 0]
 14, 21 : [1, 22, 0, 0, 0]
 14, 22 : [1, 14, 0, 0, 0]
 14, 23 : [0, 22, 0, 0, 0]
 14, 24 : [0, 17, 0, 0, 0]
 14, 25 : [0, 10, 0, 0, 0]
 14, 26 : [0, 11, 0, 0, 0]
 14, 27 : [0, 6, 0, 0, 0]
 14, 28 : [0, 4, 0, 0, 0]
 14, 29 : [0, 4, 0, 0, 0]
 14, 30 : [0, 1, 0, 0, 0]
 14, 33 : [0, 1, 0, 0, 0]
 14, 34 : [0, 1, 0, 0, 0]
 15, 15 : [30, 41, 0, 0, 0]
 15, 16 : [0, 70, 0, 0, 0]
 15, 17 : [1, 66, 0, 0, 0]
 15, 18 : [2, 55, 0, 0, 0]
 15, 19 : [0, 56, 0, 0, 0]
 15, 20 : [1, 26, 0, 0, 0]
 15, 21 : [2, 24, 0, 0, 0]
 15, 22 : [1, 14, 0, 0, 0]
 15, 23 : [0, 21, 0, 0, 0]
 15, 24 : [0, 19, 0, 0, 0]
 15, 25 : [0, 4, 0, 0, 0]
 15, 26 : [0, 7, 0, 0, 0]
 15, 27 : [0, 4, 0, 0, 0]
 15, 28 : [0, 6, 0, 0, 0]
 15, 29 : [0, 4, 0, 0, 0]
 15, 30 : [0, 1, 0, 0, 0]
 15, 32 : [0, 1, 0, 0, 0]
 16, 16 : [12, 28, 0, 0, 0]
 16, 17 : [0, 47, 0, 0, 0]
 16, 18 : [0, 51, 0, 0, 0]
 16, 19 : [0, 30, 0, 0, 0]
 16, 20 : [1, 30, 0, 0, 0]
 16, 21 : [1, 18, 0, 0, 0]
 16, 22 : [1, 13, 0, 0, 0]
 16, 23 : [0, 8, 0, 0, 0]
 16, 24 : [0, 10, 0, 0, 0]
 16, 25 : [0, 9, 0, 0, 0]
 16, 26 : [0, 4, 0, 0, 0]
 16, 27 : [0, 8, 0, 0, 0]
 16, 28 : [0, 5, 0, 0, 0]
 16, 29 : [0, 1, 0, 0, 0]
 16, 30 : [0, 1, 0, 0, 0]
 16, 31 : [0, 1, 0, 0, 0]
 16, 33 : [0, 1, 0, 0, 0]
 16, 35 : [0, 1, 0, 0, 0]
 17, 17 : [8, 29, 0, 0, 0]
 17, 18 : [0, 44, 0, 0, 0]
 17, 19 : [0, 31, 0, 0, 0]
 17, 20 : [1, 25, 0, 0, 0]
 17, 21 : [0, 20, 0, 0, 0]
 17, 22 : [0, 18, 0, 0, 0]
 17, 23 : [0, 6, 0, 0, 0]
 17, 24 : [0, 15, 0, 0, 0]
 17, 25 : [1, 5, 0, 0, 0]
 17, 26 : [0, 10, 0, 0, 0]
 17, 27 : [0, 10, 0, 0, 0]
 17, 28 : [0, 3, 0, 0, 0]
 17, 29 : [0, 1, 0, 0, 0]
 17, 30 : [0, 3, 0, 0, 0]
 17, 32 : [0, 2, 0, 0, 0]
 17, 33 : [0, 2, 0, 0, 0]
 17, 34 : [0, 2, 0, 0, 0]
 18, 18 : [7, 10, 0, 0, 0]
 18, 19 : [0, 19, 0, 0, 0]
 18, 20 : [0, 18, 0, 0, 0]
 18, 21 : [0, 10, 0, 0, 0]
 18, 22 : [0, 10, 0, 0, 0]
 18, 23 : [1, 16, 0, 0, 0]
 18, 24 : [0, 5, 0, 0, 0]
 18, 25 : [0, 6, 0, 0, 0]
 18, 26 : [0, 10, 0, 0, 0]
 18, 27 : [0, 5, 0, 0, 0]
 18, 28 : [0, 3, 0, 0, 0]
 18, 29 : [0, 4, 0, 0, 0]
 18, 30 : [0, 1, 0, 0, 0]
 18, 34 : [0, 1, 0, 0, 0]
 19, 19 : [4, 8, 0, 0, 0]
 19, 20 : [0, 10, 0, 0, 0]
 19, 21 : [0, 10, 0, 0, 0]
 19, 22 : [0, 4, 0, 0, 0]
 19, 23 : [0, 5, 0, 0, 0]
 19, 24 : [0, 10, 0, 0, 0]
 19, 25 : [0, 5, 0, 0, 0]
 19, 26 : [0, 4, 0, 0, 0]
 19, 27 : [0, 9, 0, 0, 0]
 19, 28 : [0, 2, 0, 0, 0]
 19, 29 : [0, 2, 0, 0, 0]
 19, 30 : [0, 1, 0, 0, 0]
 19, 31 : [0, 1, 0, 0, 0]
 19, 33 : [0, 2, 0, 0, 0]
 19, 34 : [0, 1, 0, 0, 0]
 20, 20 : [1, 5, 0, 0, 0]
 20, 21 : [0, 15, 0, 0, 0]
 20, 22 : [0, 6, 0, 0, 0]
 20, 23 : [0, 6, 0, 0, 0]
 20, 24 : [0, 3, 0, 0, 0]
 20, 25 : [0, 4, 0, 0, 0]
 20, 27 : [0, 4, 0, 0, 0]
 20, 28 : [0, 2, 0, 0, 0]
 20, 29 : [0, 1, 0, 0, 0]
 20, 30 : [0, 1, 0, 0, 0]
 20, 38 : [0, 1, 0, 0, 0]
 21, 21 : [2, 1, 0, 0, 0]
 21, 22 : [0, 7, 0, 0, 0]
 21, 23 : [0, 3, 0, 0, 0]
 21, 24 : [0, 3, 0, 0, 0]
 21, 25 : [0, 3, 0, 0, 0]
 21, 26 : [0, 1, 0, 0, 0]
 21, 27 : [0, 1, 0, 0, 0]
 21, 28 : [0, 2, 0, 0, 0]
 21, 29 : [1, 4, 0, 0, 0]
 21, 30 : [0, 2, 0, 0, 0]
 21, 32 : [0, 2, 0, 0, 0]
 21, 35 : [0, 1, 0, 0, 0]
 22, 22 : [1, 3, 0, 0, 0]
 22, 23 : [0, 2, 0, 0, 0]
 22, 24 : [0, 4, 0, 0, 0]
 22, 25 : [0, 8, 0, 0, 0]
 22, 26 : [0, 2, 0, 0, 0]
 22, 27 : [0, 2, 0, 0, 0]
 22, 28 : [0, 2, 0, 0, 0]
 22, 31 : [0, 1, 0, 0, 0]
 23, 23 : [0, 1, 0, 0, 0]
 23, 24 : [0, 2, 0, 0, 0]
 23, 25 : [0, 1, 0, 0, 0]
 23, 27 : [0, 2, 0, 0, 0]
 23, 28 : [0, 1, 0, 0, 0]
 23, 30 : [0, 1, 0, 0, 0]
 23, 31 : [0, 1, 0, 0, 0]
 24, 25 : [0, 1, 0, 0, 0]
 24, 27 : [0, 1, 0, 0, 0]
 24, 28 : [0, 1, 0, 0, 0]
 24, 32 : [0, 1, 0, 0, 0]
 25, 26 : [0, 1, 0, 0, 0]
 28, 29 : [0, 1, 0, 0, 0]
 28, 35 : [0, 1, 0, 0, 0]
 29, 29 : [0, 1, 0, 0, 0]
 29, 31 : [0, 1, 0, 0, 0]

って、考えてみたら両方と14点以上差がついてたら勝てるわけないのか。今きづいた。