結果
| 問題 | No.1284 Flip Game | 
| コンテスト | |
| ユーザー |  lam6er | 
| 提出日時 | 2025-04-16 01:12:22 | 
| 言語 | PyPy3 (7.3.15) | 
| 結果 | 
                                AC
                                 
                             | 
| 実行時間 | 1,144 ms / 2,000 ms | 
| コード長 | 2,350 bytes | 
| コンパイル時間 | 399 ms | 
| コンパイル使用メモリ | 81,240 KB | 
| 実行使用メモリ | 131,040 KB | 
| 最終ジャッジ日時 | 2025-04-16 01:14:08 | 
| 合計ジャッジ時間 | 8,997 ms | 
| ジャッジサーバーID (参考情報) | judge3 / judge4 | 
(要ログイン)
| ファイルパターン | 結果 | 
|---|---|
| other | AC * 28 | 
ソースコード
import heapq
def main():
    N = int(input())
    c = [list(map(int, input().split())) for _ in range(N)]
    INF = float('inf')
    full_mask = (1 << N) - 1
    heap = []
    dist = dict()
    for q0 in range(N):
        initial_mask = 1 << q0
        prev = q0
        flipped_B = 0
        state = (initial_mask, prev, flipped_B)
        if state not in dist or 0 < dist.get(state, INF):
            dist[state] = 0
            heapq.heappush(heap, (0, initial_mask, prev, flipped_B))
    answer = INF
    while heap:
        current_cost, mask, prev, flipped_B = heapq.heappop(heap)
        if current_cost > dist.get((mask, prev, flipped_B), INF):
            continue
        for next_q in range(N):
            if not (mask & (1 << next_q)):
                cost_step = c[prev][next_q]
                new_mask_A = mask | (1 << next_q)
                if new_mask_A == full_mask:
                    if (flipped_B & (1 << prev)):
                        if current_cost + cost_step < answer:
                            answer = current_cost + cost_step
                        continue
                    else:
                        new_mask = new_mask_A ^ (1 << prev)
                        new_flipped_B = flipped_B | (1 << prev)
                        new_prev = next_q
                        new_cost = current_cost + cost_step
                        key = (new_mask, new_prev, new_flipped_B)
                        if new_cost < dist.get(key, INF):
                            dist[key] = new_cost
                            heapq.heappush(heap, (new_cost, new_mask, new_prev, new_flipped_B))
                else:
                    if (flipped_B & (1 << prev)) == 0:
                        new_mask = new_mask_A ^ (1 << prev)
                        new_flipped_B = flipped_B | (1 << prev)
                    else:
                        new_mask = new_mask_A
                        new_flipped_B = flipped_B
                    new_prev = next_q
                    new_cost = current_cost + cost_step
                    key = (new_mask, new_prev, new_flipped_B)
                    if new_cost < dist.get(key, INF):
                        dist[key] = new_cost
                        heapq.heappush(heap, (new_cost, new_mask, new_prev, new_flipped_B))
    print(answer)
if __name__ == "__main__":
    main()
            
            
            
        