• 【luogu P1343 地震逃生】 题解


    题目链接:https://www.luogu.org/problemnew/show/P1343

    #include <queue>
    #include <cstdio>
    #include <cstring>
    #include <iostream>
    #include <algorithm>
    using namespace std;
    const int maxn = 10000 + 10;
    const int inf = 1e9;
    int n, m, x, s, t, deep[maxn], maxflow;
    struct edge{
    	int next, to, len;
    }e[maxn<<2];
    int head[maxn], cnt = -1, cur[maxn];
    queue<int> q;
    void add(int u, int v, int w, bool flag)
    {
    	e[++cnt].next = head[u];
    	e[cnt].to = v;
    	if(flag) e[cnt].len = w;
    	head[u] = cnt;
    }
    bool bfs(int s, int t)
    {
    	memset(deep, 0x7f, sizeof(deep));
    	while(!q.empty()) q.pop();
    	for(int i = 1; i <= n; i++) cur[i] = head[i];
    	q.push(s); deep[s] = 0;
    	while(!q.empty())
    	{
    		int now = q.front(); q.pop();
    		for(int i = head[now]; i != -1; i = e[i].next)
    		{
    			if(deep[e[i].to] > inf && e[i].len)
    			{
    				deep[e[i].to] = deep[now] + 1;
    				q.push(e[i].to);
    			}
    		}
    	}
    	if(deep[t] < inf) return true;
    	else return false;
    }
    int dfs(int now, int t, int limit)
    {
    	if(!limit || now == t) return limit;
    	int flow = 0, f;
    	for(int i = cur[now]; i != -1; i = e[i].next)
    	{
    		cur[now] = i;
    		if(deep[e[i].to] == deep[now] + 1 && (f = dfs(e[i].to, t, min(e[i].len, limit))))
    		{
    			flow += f;
    			limit -= f;
    			e[i].len -= f;
    			e[i^1].len += f;
    			if(!limit) break;
    		}
    	}
    	return flow;
    }
    void Dinic(int s, int t)
    {
    	while(bfs(s, t))
    	maxflow += dfs(s, t, inf);
    }
    int main()
    {
    	memset(head, -1, sizeof(head));
    	scanf("%d%d%d",&n,&m,&x);
    	s = 1, t = n;
    	for(int i = 1; i <= m; i++)
    	{
    		int u, v, w;
    		scanf("%d%d%d",&u,&v,&w);
    		add(u, v, w, 1);
    		add(v, u, w, 0);
    	}
    	Dinic(s, t);
    	if(maxflow == 0)
    	{
    		printf("Orz Ni Jinan Saint Cow!
    ");
    		return 0;
    	}
    	int ans;
    	if(x % maxflow == 0)
    	ans = x/maxflow;
    	else
    	ans = x/maxflow + 1;
    	printf("%d %d",maxflow,ans);
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/MisakaAzusa/p/9431876.html
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