結果
| 問題 | No.3111 Toll Optimization | 
| コンテスト | |
| ユーザー |  | 
| 提出日時 | 2025-06-21 20:32:29 | 
| 言語 | PyPy3 (7.3.15) | 
| 結果 | 
                                AC
                                 
                             | 
| 実行時間 | 1,834 ms / 5,000 ms | 
| コード長 | 1,492 bytes | 
| コンパイル時間 | 495 ms | 
| コンパイル使用メモリ | 82,520 KB | 
| 実行使用メモリ | 129,796 KB | 
| 最終ジャッジ日時 | 2025-06-21 20:33:19 | 
| 合計ジャッジ時間 | 47,430 ms | 
| ジャッジサーバーID (参考情報) | judge2 / judge4 | 
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| ファイルパターン | 結果 | 
|---|---|
| sample | AC * 3 | 
| other | AC * 70 | 
ソースコード
## https://yukicoder.me/problems/no/3111
import heapq
MAX_INT = 10 ** 18
def main():
    N, M, K = map(int, input().split())
    C = list(map(int, input().split()))
    next_nodes = [[] for _ in range(N)]
    for i in range(M):
        u, v = map(int, input().split())
        next_nodes[u -1 ].append((v - 1, C[i]))
        next_nodes[v - 1].append((u - 1, C[i]))
    queue = []
    seen = [[MAX_INT] * N for _ in range(K + 1)]
    fix = [[MAX_INT] * N for _ in range(K + 1)]
    seen[0][0] = 0
    heapq.heappush(queue, (0, 0, 0))
    while len(queue) > 0:
        cost, count, v = heapq.heappop(queue)
        if fix[count][v] < MAX_INT:
            continue
        fix[count][v] = cost
        for w, c in next_nodes[v]:
            if count + 1 <= K:
                if fix[count + 1][w] == MAX_INT:
                    new_cost = cost
                    if seen[count + 1][w] > new_cost:
                        seen[count + 1][w] = new_cost
                        heapq.heappush(queue, (new_cost, count + 1, w))
            
            if fix[count][w] < MAX_INT:
                continue
            new_cost = cost + c
            if seen[count][w] > new_cost:
                seen[count][w] = new_cost
                heapq.heappush(queue, (new_cost, count, w))
    
    x = MAX_INT
    for c in range(K + 1):
        x = min(x, fix[c][N - 1])
    if x == MAX_INT:
        print(-1)
    else: 
        print(x)
        
    
if __name__ == "__main__":
    main()
            
            
            
        