結果

問題 No.957 植林
ユーザー gew1fw
提出日時 2025-06-12 13:58:30
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 3,287 bytes
コンパイル時間 306 ms
コンパイル使用メモリ 82,348 KB
実行使用メモリ 195,144 KB
最終ジャッジ日時 2025-06-12 13:59:03
合計ジャッジ時間 19,024 ms
ジャッジサーバーID
(参考情報)
judge4 / judge2
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 15 TLE * 1 -- * 29
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()
            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)
                    if edge.to == t:
                        return
    
    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]:
                min_flow = min(flow, edge.capacity)
                result = self.dfs_flow(edge.to, t, min_flow, level, ptr)
                if result > 0:
                    edge.capacity -= result
                    self.graph[edge.to][edge.rev].capacity += result
                    return result
            ptr[v] += 1
        return 0
    
    def max_flow(self, s, t):
        flow = 0
        level = [-1] * self.size
        while True:
            self.bfs_level(s, t, level)
            if level[t] == -1:
                return flow
            ptr = [0] * self.size
            while True:
                f = self.dfs_flow(s, t, float('inf'), level, ptr)
                if f == 0:
                    break
                flow += f
            level = [-1] * self.size

def main():
    import sys
    input = sys.stdin.read
    data = input().split()
    idx = 0
    H = int(data[idx])
    idx += 1
    W = int(data[idx])
    idx += 1
    
    G = []
    for _ in range(H):
        row = list(map(int, data[idx:idx+W]))
        G.append(row)
        idx += W
    
    R = list(map(int, data[idx:idx+H]))
    idx += H
    C = list(map(int, data[idx:idx+W]))
    idx += W
    
    total_r = sum(R)
    total_c = sum(C)
    total = total_r + total_c
    
    S = 0
    T = 1
    node_r_start = 2
    node_c_start = node_r_start + H
    node_m_start = node_c_start + W
    
    total_nodes = node_m_start + H * W
    dinic = Dinic(total_nodes)
    
    for i in range(H):
        r_node = node_r_start + i
        dinic.add_edge(S, r_node, R[i])
    
    for j in range(W):
        c_node = node_c_start + j
        dinic.add_edge(S, c_node, C[j])
    
    for i in range(H):
        for j in range(W):
            m_node = node_m_start + i * W + j
            g = G[i][j]
            r_node = node_r_start + i
            c_node = node_c_start + j
            dinic.add_edge(r_node, m_node, g)
            dinic.add_edge(c_node, m_node, g)
            dinic.add_edge(m_node, T, g)
    
    max_flow = dinic.max_flow(S, T)
    print(total - max_flow)

if __name__ == "__main__":
    main()
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