結果

問題 No.95 Alice and Graph
ユーザー maspy
提出日時 2020-05-14 18:15:19
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 4,117 ms / 5,000 ms
コード長 1,634 bytes
コンパイル時間 413 ms
コンパイル使用メモリ 81,920 KB
実行使用メモリ 90,112 KB
最終ジャッジ日時 2024-09-15 12:45:13
合計ジャッジ時間 13,501 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
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ファイルパターン 結果
other AC * 14
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

import sys
from collections import deque
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
N, M, K = map(int, readline().split())
m = map(int, read().split())
if K == 0:
    print(0)
    exit()
G = [[] for _ in range(N)]
for u, v in zip(m, m):
    u -= 1
    v -= 1
    G[u].append(v)
    G[v].append(u)
def bfs(v):
    dist = [1000] * N
    q = deque([v])
    dist[v] = 0
    while q:
        v = q.popleft()
        for w in G[v]:
            if dist[w] != 1000:
                continue
            dist[w] = dist[v] + 1
            q.append(w)
    return dist
dist_mat = [bfs(v) for v in range(N)]
def extract_subgraph(A):
    assert A[0] == 0
    mat = []
    for i in A:
        mat.append([dist_mat[i][j] for j in A])
    return mat
dp = [[K + 1] * (K + 1) for _ in range(1 << (K + 1))]
def min_hamilton_path(A):
    mat = extract_subgraph(A)
    n = len(A)
    INF = K + 1
    global dp
    dp[1][0] = 0
    for s in range(3, 1 << n, 2):
        for i in range(n):
            dp[s][i] = INF
            if not (s & (1 << i)):
                continue
            t = s ^ (1 << i)
            x = INF
            for j in range(n):
                if not (t & (1 << j)):
                    continue
                y = dp[t][j] + mat[i][j]
                if x > y:
                    x = y
            dp[s][i] = x
    full = (1 << n) - 1
    return min(dp[full])
A = [0]
for n in range(N - 1, 0, -1):
    A.append(n)
    if min_hamilton_path(A) > K:
        A.pop()
    if len(A) >= K + 1:
        break
answer = sum((1 << x) - 1 for x in A)
print(answer)
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0