#1178481 (PyPy3) No.2286 Join Hands

• 問題: No.2286 Join Hands
• ユーザー: detteiuu
• 提出日時: 2026-08-22 20:17:48
• 言語: PyPy3 (7.3.23)
• 結果: AC
• 実行時間: 163 ms / 2,000 ms
• コード長: 5,214 bytes
• コンパイル時間: 231 ms
• コンパイル使用メモリ: 96,112 KB
• 実行使用メモリ: 94,336 KB
• 最終ジャッジ日時: 2026-08-22 20:18:05
• 合計ジャッジ時間: 9,450 ms
• ジャッジサーバーID （参考情報）: judge3_0 / judge2_0

ファイルパターン	結果
sample	AC * 3
other	AC * 58

ソースコード

import sys
sys.setrecursionlimit(10**6)
from collections import deque

class HopcroftKarp:
    def __init__(self, N1, N2):
        self.N1 = N1
        self.N2 = N2
        self.G = [[] for _ in range(self.N1+1)]
        self.pair1 = [0]*(self.N1+1)
        self.pair2 = [0]*(self.N2+1)
        self.matching_size = -1
        
    def add_edge(self, fr, to):
        self.G[fr].append(to)
    
    def bfs(self):
        que = deque()
        for i in range(1, self.N1+1):
            if self.pair1[i] == 0:
                self.dist[i] = 0
                que.append(i)
            else:
                self.dist[i] = INF
        self.dist[0] = INF
        while que:
            n = que.popleft()
            if self.dist[n] < self.dist[0]:
                for v in self.G[n]:
                    if self.dist[self.pair2[v]] == INF:
                        self.dist[self.pair2[v]] = self.dist[n]+1
                        que.append(self.pair2[v])
        return self.dist[0] != INF

    def dfs(self, n):
        if n != 0:
            for v in self.G[n]:
                if self.dist[self.pair2[v]] == self.dist[n]+1:
                    if self.dfs(self.pair2[v]):
                        self.pair2[v] = n
                        self.pair1[n] = v
                        return True
            self.dist[n] = INF
            return False
        return True
    
    def flow(self):
        if self.matching_size != -1:
            return self.matching_size
        self.dist = [0]*(self.N1+1)
        ans = 0
        while self.bfs():
            for i in range(1, self.N1+1):
                if self.pair1[i] == 0 and self.dfs(i):
                    ans += 1
        self.matching_size = ans
        return ans
    
    def get_matching(self):
        if self.matching_size == -1:
            self.flow()
        ans = []
        for i in range(1, self.N1+1):
            if self.pair1[i] != 0:
                ans.append((i, self.pair1[i]))
        return ans
    
    def minimum_vertex_cover(self):
        if self.matching_size == -1:
            self.flow()
        return self.matching_size
    
    def maximum_independent_set(self):
        return self.N1+self.N2-self.minimum_vertex_cover()
    
    def minimum_edge_cover(self):
        F = [False]*(self.N1+self.N2+1)
        for n in range(1, self.N1+1):
            F[n] = True
            for v in self.G[n]:
                F[self.N1+v] = True
        if sum(F) < self.N1+self.N2:
            return -1
        if self.matching_size == -1:
            self.flow()
        return self.N1+self.N2-self.matching_size
    
    def preparation(self):
        if self.matching_size == -1:
            self.flow()
        L = self.N1+self.N2
        G = [[] for _ in range(L+1)]
        for n in range(1, self.N1+1):
            for v in self.G[n]:
                if self.pair1[n] == v:
                    G[self.N1+v].append(n)
                else:
                    G[n].append(self.N1+v)

        visited = [False]*(L+1)
        que = deque()
        for i in range(1, self.N1+1):
            if self.pair1[i] == 0:
                visited[i] = True
                que.append(i)
        while que:
            n = que.popleft()
            for v in G[n]:
                if not visited[v]:
                    visited[v] = True
                    que.append(v)
        return visited

    def get_minimum_vertex_cover(self):
        visited = self.preparation()
        ans1 = []
        ans2 = []
        for i in range(1, self.N1+self.N2+1):
            if i <= self.N1 and not visited[i]:
                ans1.append(i)
            elif self.N1+1 <= i and visited[i]:
                ans2.append(i-self.N1)
        return ans1, ans2
    
    def get_maximum_independent_set(self):
        visited = self.preparation()
        ans1 = []
        ans2 = []
        for i in range(1, self.N1+self.N2+1):
            if i <= self.N1 and visited[i]:
                ans1.append(i)
            elif self.N1+1 <= i and not visited[i]:
                ans2.append(i-self.N1)
        return ans1, ans2
    
    def get_minimum_edge_cover(self):
        cnt = self.minimum_edge_cover()
        if cnt == -1:
            return None
        ans = []
        pair = [-1]*(self.N1+self.N2+1)
        for n in range(1, self.N1+1):
            pair[n] = self.G[n][0]
            for v in self.G[n]:
                if pair[self.N1+v] == -1:
                    pair[self.N1+v] = n
        for i in range(1, self.N1+self.N2+1):
            if i <= self.N1 and self.pair1[i] != 0:
                ans.append((i, self.pair1[i]))
            elif i <= self.N1 and self.pair1[i] == 0:
                ans.append((i, pair[i]))
            elif self.N1+1 <= i and self.pair2[i-self.N1] == 0:
                ans.append((pair[i], i-self.N1))
        return ans

INF = 1<<60

N, M = map(int, input().split())
edge = [list(map(int, input().split())) for _ in range(M)]

ans = -N

H = HopcroftKarp(N, N)
F = [False]*N
for u, v in edge:
    F[u-1] = True
    F[v-1] = True
    H.add_edge(u, v)
    H.add_edge(v, u)

sumF = sum(F)
if sumF != N-1:
    ans += H.flow()*2
else:
    res = H.flow()
    if res == N-1:
        res -= 1
    ans += res*2

print(ans)