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[bzoj1934][网络流-最小割]Vote 善意的投票
阅读量:112 次
发布时间:2019-02-26

本文共 2938 字,大约阅读时间需要 9 分钟。

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    import sys
    from collections import deque
    class Edge:
    def __init__(self, to, rev, capacity):
    self.to = to
    self.rev = rev
    self.capacity = capacity
    class MinCut:
    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
    return
    def dfs_flow(self, v, t, upTo, iter_, level):
    if v == t:
    return upTo
    for i in range(iter_[v], len(self.graph[v])):
    edge = self.graph[v][i]
    if edge.capacity > 0 and level[v] < level[edge.to]:
    d = self.dfs_flow(edge.to, t, min(upTo, edge.capacity), iter_, level)
    if d > 0:
    edge.capacity -= d
    self.graph[edge.to][edge.rev].capacity += d
    return d
    iter_[v] +=1
    return 0
    def min_cut(self, s, t):
    level = [-1]*self.size
    self.bfs_level(s, t, level)
    if level[t] == -1:
    return 0
    iter_ = [0]*self.size
    flow = self.dfs_flow(s, t, float('inf'), iter_, level)
    return flow
    def main():
    n, m = map(int, sys.stdin.readline().split())
    a = list(map(int, sys.stdin.readline().split()))
    edges = [[] for _ in range(n)]
    for _ in range(m):
    u, v = map(int, sys.stdin.readline().split())
    u -=1
    v -=1
    edges[u].append(v)
    edges[v].append(u)
    size = 2 * n
    source = 0
    sink = 2 * n -1
    mc = MinCut(size)
    for i in range(n):
    mc.add_edge(source, 2*i, a[i])
    mc.add_edge(2*i +1, sink, 1)
    for u in range(n):
    for v in edges[u]:
    mc.add_edge(2*u, 2*v, 1)
    mc.add_edge(2*v, 2*u, 1)
    min_flow = mc.min_cut(source, sink)
    print(min_flow)
    if __name__ == "__main__":
    main()

    ????

  • MinCut??????????????????
  • add_edge????????
  • bfs_level????????????????
  • dfs_flow??????????????
  • min_cut???????
  • main??????????????????
  • ???????????????????????

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