Submission #3823744

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Source Code Expand

def func(n, a, x):
    x.sort()
    dp = [[[0 for _ in range(sum(x) + 1)] for _ in range(n + 1)] for _ in range(n)]
    # table[j][k][s] = x[j+1]までからk枚選んで、その和がsの場合の数
    # 0 <= j < N, 0 <= k <= N, s <= sum(x)
    # jはインデックスだが,kは選ぶ枚数なので「j < n」「k < n + 1」
    # dp[j][k][s] = dp[j-1][k][s] # x[j]を選ばないとき
    #               + dp[j-1][k-1][s-x[j]] #x[j]を選ぶ場合 (ただし1<=j<=k)
    # dp[0][0][0] = 1 #初期値(シード的な)
    # dp = 0 # 上記以外の場合
    dp[0][0][0] = 1
    dp[0][1][x[0]] = 1

    for j in range(len(dp)):
        for k in range(len(dp[0])):
            for s in range(len(dp[0][0])):
                # 「j == 0」での事前処理が必要
                if j > 0: # 解説では j > 0 and x[j] >= sらしい
                    dp[j][k][s] += dp[j-1][k][s]
                    if j > 0 and k > 0 and s >= x[j]:
                        dp[j][k][s] += dp[j-1][k-1][s-x[j]]
                        #print("dp[{}][{}][{}]:{} <- dp[{}][{}][{}]:{} + {}".format(
                            #j, k, s, dp[j][k][s], j-1, k-1, s-x[j], dp[j-1][k-1][s-x[j]], x[j]))
                # if dp[j][k][s] > 0:
                    # print("dp[{}][{}][{}]:{}---------------".format(j, k, s, dp[j][k][s]))
                # else:
                    # print("dp[{}][{}][{}]:{}".format(j, k, s, dp[j][k][s]))
    # for k in range(len(dp[0])):
        # for j in range(len(dp)):
            # print(dp[j][k])
    count = 0
    for k in range(len(dp[0])):
        if k > 0 and a*k <= len(dp[0][0]):
            # print("dp[{}][{}][{}]:{}".format(n - 1, k, a * k, dp[n - 1][k][a * k]))
            count += dp[n-1][k][a*k]
    return count

n, a = [int(i) for i in input().split()]
x = [int(i) for i in input().split()]
print(func(n, a, x))
# print(func(4, 8, [7, 8, 9, 9]))#合計33
# print(func(3, 8, [6, 6, 9]))#合計21
# print(func(8, 5, [3,6,2,8,7,6,5,9]))#合計46
# print(func(33, 3, [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]))#合計46

Submission Info

Judge Result