結果
| 問題 | No.1792 科学の甲子園 | 
| コンテスト | |
| ユーザー |  titia | 
| 提出日時 | 2021-12-22 02:03:14 | 
| 言語 | PyPy3 (7.3.15) | 
| 結果 | 
                                AC
                                 
                             | 
| 実行時間 | 118 ms / 4,000 ms | 
| コード長 | 5,080 bytes | 
| コンパイル時間 | 396 ms | 
| コンパイル使用メモリ | 82,176 KB | 
| 実行使用メモリ | 76,544 KB | 
| 最終ジャッジ日時 | 2024-11-26 17:55:41 | 
| 合計ジャッジ時間 | 3,369 ms | 
| ジャッジサーバーID (参考情報) | judge5 / judge1 | 
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| ファイルパターン | 結果 | 
|---|---|
| sample | AC * 3 | 
| other | AC * 26 | 
ソースコード
# 解説を見たら当たり前に見えた。こういう問題は解かないと……。
N=int(input())
A=[list(map(int,input().split())) for i in range(N)]
ANS=set()
def dfs(A):
    #print(A)
    if len(A)==4:
        ANS.add(tuple(sorted(A)))
        return
    B=[]
    for to in A:
        for z in to:
            B.append(z)
    for i in range(1,1<<6):
        X=[]
        for j in range(6):
            if i & (1<<j) != 0 and not(j in B):
                X.append(j)
        X.sort()
        if len(X)>0:
            dfs(A+(tuple(X),))
#dfs(tuple())
ANS={((0, 2), (1, 5), (3,), (4,)), ((0, 4), (1, 2), (3,), (5,)), ((0, 1), (2, 3), (4,), (5,)), ((0,), (1, 5), (2,), (3, 4)), ((0, 3), (1,), (2,), (4, 5)), ((0, 1), (2,), (3,), (5,)), ((0,), (2,), (3,), (4,)), ((0, 2), (1,), (3,), (4,)), ((0, 5), (1,), (2, 3), (4,)), ((0,), (1, 2), (3, 5), (4,)), ((0,), (2,), (3,), (4, 5)), ((0, 2), (1,), (3,), (4, 5)), ((0, 5), (1,), (2,), (3,)), ((0, 1), (2, 5), (3,), (4,)), ((0, 5), (1, 4), (2,), (3,)), ((0,), (1,), (2, 5), (3, 4)), ((1,), (2, 3), (4,), (5,)), ((0, 4), (1, 5), (2,), (3,)), ((0,), (1, 3), (2, 5), (4,)), ((0, 4, 5), (1,), (2,), (3,)), ((0, 1), (2,), (4,), (5,)), ((0,), (1,), (2,), (3,)), ((2,), (3,), (4,), (5,)), ((0,), (1,), (2, 3, 4), (5,)), ((0,), (1,), (2, 4), (3,)), ((0,), (1, 5), (2, 4), (3,)), ((0, 1, 4), (2,), (3,), (5,)), ((0,), (1,), (2,), (4, 5)), ((0,), (3,), (4,), (5,)), ((0,), (1, 4), (2,), (3, 5)), ((0,), (1, 2), (3,), (5,)), ((0, 2), (1,), (4,), (5,)), ((0, 3), (1,), (2,), (4,)), ((1,), (2,), (3,), (4,)), ((0, 3), (1, 5), (2,), (4,)), ((0, 2, 5), (1,), (3,), (4,)), ((0, 1, 3), (2,), (4,), (5,)), ((0, 4), (1,), (3,), (5,)), ((1,), (2,), (3,), (4, 5)), ((0,), (2,), (3, 4), (5,)), ((0, 3, 5), (1,), (2,), (4,)), ((0, 2), (1,), (3, 4), (5,)), ((0,), (1, 2, 5), (3,), (4,)), ((0,), (1,), (2,), (3, 5)), ((0, 4), (2,), (3,), (5,)), ((0, 3), (1, 4), (2,), (5,)), ((1, 4), (2,), (3,), (5,)), ((0,), (1,), (2, 3), (4,)), ((0, 3), (1,), (2,), (5,)), ((0,), (1, 3), (4,), (5,)), ((0,), (1, 2), (3, 4), (5,)), ((0,), (1, 2), (4,), (5,)), ((0, 5), (1,), (2,), (4,)), ((0,), (1,), (2, 3), (4, 5)), ((0, 3), (1,), (2, 5), (4,)), ((0, 4), (1,), (2, 5), (3,)), ((0, 2), (1, 3), (4,), (5,)), ((0, 5), (1, 2), (3,), (4,)), ((0,), (1, 5), (2,), (3,)), ((0,), (2,), (3,), (5,)), ((0, 2), (1,), (3,), (5,)), ((0, 3), (1,), (2, 4), (5,)), ((0,), (1, 4), (2, 3), (5,)), ((0, 5), (1,), (3,), (4,)), ((0, 4), (1,), (2,), (5,)), ((0,), (1,), (2,), (4,)), ((0, 5), (2,), (3,), (4,)), ((0,), (2,), (3, 5), (4,)), ((0,), (1, 4), (2,), (5,)), ((0,), (1,), (3,), (4, 5)), ((0,), (1, 3, 4), (2,), (5,)), ((1,), (2, 5), (3,), (4,)), ((0,), (1,), (2, 5), (3,)), ((0,), (2,), (4,), (5,)), ((0,), (1,), (2, 5), (4,)), ((0, 2), (3,), (4,), (5,)), ((0,), (1,), (2,), (5,)), ((0,), (1, 4, 5), (2,), (3,)), ((0,), (1, 3), (2,), (4, 5)), ((0,), (1, 5), (2, 3), (4,)), ((1,), (2, 4), (3,), (5,)), ((0, 4), (1,), (2,), (3,)), ((0,), (1, 2, 3), (4,), (5,)), ((0, 2, 4), (1,), (3,), (5,)), ((0,), (1,), (2, 4), (3, 5)), ((0, 1, 5), (2,), (3,), (4,)), ((0, 3, 4), (1,), (2,), (5,)), ((1,), (2,), (3,), (5,)), ((0,), (1,), (2,), (3, 4, 5)), ((0, 1), (2,), (3,), (4,)), ((0, 3), (1, 2), (4,), (5,)), ((0,), (1, 5), (2,), (4,)), ((0,), (1,), (2, 4, 5), (3,)), ((0, 1), (2,), (3,), (4, 5)), ((1,), (2,), (3, 5), (4,)), ((0,), (1,), (2, 3), (5,)), ((0, 5), (1,), (2,), (3, 4)), ((0, 1, 2), (3,), (4,), (5,)), ((0,), (1,), (3,), (4,)), ((0,), (1,), (3, 4), (5,)), ((0, 4), (1,), (2,), (3, 5)), ((1,), (2,), (3, 4), (5,)), ((1, 5), (2,), (3,), (4,)), ((0,), (2, 3), (4,), (5,)), ((1,), (2,), (4,), (5,)), ((0,), (1, 2, 4), (3,), (5,)), ((0, 1), (2, 4), (3,), (5,)), ((0,), (1,), (2,), (3, 4)), ((0, 2, 3), (1,), (4,), (5,)), ((0, 3), (1,), (4,), (5,)), ((0,), (1, 3), (2,), (4,)), ((0,), (1, 4), (3,), (5,)), ((0,), (1, 3, 5), (2,), (4,)), ((0,), (1,), (3,), (5,)), ((0, 3), (2,), (4,), (5,)), ((0, 5), (1, 3), (2,), (4,)), ((0,), (1,), (2, 4), (5,)), ((0, 2), (1, 4), (3,), (5,)), ((0,), (1, 4), (2,), (3,)), ((0, 1), (2,), (3, 5), (4,)), ((1, 2), (3,), (4,), (5,)), ((0, 1), (3,), (4,), (5,)), ((0,), (1, 2), (3,), (4,)), ((0,), (1,), (2, 3, 5), (4,)), ((1,), (3,), (4,), (5,)), ((0,), (1, 4), (2, 5), (3,)), ((0, 5), (1,), (2, 4), (3,)), ((0,), (1,), (3, 5), (4,)), ((0,), (1, 3), (2,), (5,)), ((0, 4), (1, 3), (2,), (5,)), ((0, 4), (1,), (2, 3), (5,)), ((0,), (1, 2), (3,), (4, 5)), ((0, 2), (1,), (3, 5), (4,)), ((0, 1), (2,), (3, 4), (5,)), ((0,), (2, 4), (3,), (5,)), ((1, 3), (2,), (4,), (5,)), ((0,), (1,), (4,), (5,)), ((0,), (1, 5), (3,), (4,)), ((0,), (2, 5), (3,), (4,)), ((0,), (1, 3), (2, 4), (5,))}
LANS=0
for x,y,z,w in ANS:
    AX=1
    BX=1
    CX=1
    DX=1
    
    for i in range(N):
        C=1
        for to in x:
            C*=A[i][to]
        AX=max(AX,C)
        D=1
        for to in y:
            D*=A[i][to]
        BX=max(BX,D)
        E=1
        for to in z:
            E*=A[i][to]
        CX=max(CX,E)
        F=1
        for to in w:
            F*=A[i][to]
        DX=max(DX,F)
    LANS=max(LANS,AX*BX*CX*DX)
print(LANS)
            
            
            
            
        