結果

問題 No.2713 Just Solitaire
ユーザー lam6er
提出日時 2025-03-20 20:30:37
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 76 ms / 2,000 ms
コード長 3,079 bytes
コンパイル時間 181 ms
コンパイル使用メモリ 82,976 KB
実行使用メモリ 78,532 KB
最終ジャッジ日時 2025-03-20 20:31:17
合計ジャッジ時間 2,901 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 32
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 # 

from collections import deque

class Edge:
    def __init__(self, to, rev, capacity):
        self.to = to
        self.rev = rev
        self.capacity = capacity

class Dinic:
    def __init__(self, n):
        self.size = n
        self.graph = [[] for _ in range(n)]
    
    def add_edge(self, fr, to, cap):
        forward = Edge(to, len(self.graph[to]), cap)
        backward = Edge(fr, len(self.graph[fr]), 0)
        self.graph[fr].append(forward)
        self.graph[to].append(backward)
    
    def bfs_level(self, s, t, level):
        q = deque()
        level[:] = [-1] * self.size
        level[s] = 0
        q.append(s)
        while q:
            v = q.popleft()
            if v == t:
                break
            for edge in self.graph[v]:
                if edge.capacity > 0 and level[edge.to] == -1:
                    level[edge.to] = level[v] + 1
                    q.append(edge.to)
        return level[t] != -1
    
    def dfs_flow(self, v, t, flow, level, ptr):
        if v == t:
            return flow
        while ptr[v] < len(self.graph[v]):
            edge = self.graph[v][ptr[v]]
            if edge.capacity > 0 and level[v] < level[edge.to]:
                pushed = self.dfs_flow(edge.to, t, min(flow, edge.capacity), level, ptr)
                if pushed > 0:
                    edge.capacity -= pushed
                    self.graph[edge.to][edge.rev].capacity += pushed
                    return pushed
            ptr[v] += 1
        return 0
    
    def max_flow(self, s, t):
        flow = 0
        level = [-1] * self.size
        while self.bfs_level(s, t, level):
            ptr = [0] * self.size
            while True:
                pushed = self.dfs_flow(s, t, float('inf'), level, ptr)
                if pushed == 0:
                    break
                flow += pushed
            level = [-1] * self.size
        return flow

def main():
    import sys
    input = sys.stdin.read().split()
    idx = 0
    N, M = int(input[idx]), int(input[idx+1])
    idx +=2
    A = list(map(int, input[idx:idx+N]))
    idx +=N
    B = list(map(int, input[idx:idx+M]))
    idx +=M
    
    # Read bonuses
    bonuses = []
    for _ in range(M):
        K_i = int(input[idx])
        C_i = list(map(int, input[idx+1: idx+1+K_i]))
        idx += K_i +1
        bonuses.append(C_i)
    
    total_B = sum(B)
    
    # Build the graph
    # Nodes:
    # source:0
    # bonuses: 1..M
    # cards: M+1 ... M+N (for card 1..N)
    # sink: M+N+1
    num_nodes = M + N + 2
    dinic = Dinic(num_nodes)
    sink = M + N +1
    INF = 1 << 60
    
    for i in range(M):
        dinic.add_edge(0, i+1, B[i])
    
    for j in range(N):
        card_node = M+1 +j
        dinic.add_edge(card_node, sink, A[j])
    
    for i in range(M):
        bonus_node = i +1
        for c in bonuses[i]:
            card = c -1  # 0-based
            card_node = M+1 + card
            dinic.add_edge(bonus_node, card_node, INF)
    
    max_flow = dinic.max_flow(0, sink)
    print(total_B - max_flow)

if __name__ == "__main__":
    main()
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