题目链接:https://ac.nowcoder.com/acm/contest/5944/J
题目大意:有n台电脑,有m条通路。u-v-w双向u一秒能够发送w(kb)的数据到v。并且电脑也有转发速度的上限。每秒最多转发a[i]的数据。现在控制了第k台电脑,问从1号电脑发送s(kb)的数据到k电脑需要的最小时间。
思路:拆点最大流。ans=s/最大流
#include<bits/stdc++.h> #define ll long long using namespace std; typedef long long LL; const LL maxn = 5005; const LL INF = 0x3f3f3f3f; LL cas = 1, T; LL d[maxn], cur[maxn], start, tend; struct node { LL to, cap, next; //node(){} //node(LL a,LL b,LL c):to(a),cap(b),rev(c){} } edge[maxn << 1]; //vector<node>mp[maxn]; LL head[maxn]; bool vis[maxn]; LL cnt; void addedge(LL start, LL to, LL cap) { edge[cnt].to = to; edge[cnt].cap = cap; edge[cnt].next = head[start]; head[start] = cnt++; } bool BFS() { //memset(vis,false,sizeof(vis)); memset(d, -1, sizeof(d)); LL Q[maxn * 2]; LL Thead, Ttail; Thead = Ttail = 0; Q[Ttail++] = start;; d[start] = 0; //vis[start]=1; while (Thead<Ttail) { LL x = Q[Thead]; if (x == tend) return true; for (LL i = head[x]; i != -1; i = edge[i].next) { LL temp = edge[i].to; if (d[temp] == -1 && edge[i].cap>0)//没有标记,且可行流大于0 { //vis[temp.to]=true; d[temp] = d[x] + 1; Q[Ttail++] = temp; } } Thead++; } return false;//汇点是否成功标号,也就是说是否找到增广路 } LL DFS(LL x, LL cap) { if (x == tend) return cap; //vis[start]=true; LL flow = 0, f; for (LL i = head[x]; i != -1; i = edge[i].next) { LL temp = edge[i].to; //if(temp.cap<=0||vis[temp.to])continue; if (d[temp] == d[x] + 1 && edge[i].cap) { f = DFS(temp, min(cap - flow, edge[i].cap)); edge[i].cap -= f; edge[i ^ 1].cap += f; flow += f; if (flow == cap) break; } } if (!flow) d[x] = -2;//防止重搜 return flow; } LL maxflow() { LL flow = 0, f; while (BFS()) { //memset(vis,false,sizeof(vis)); while ((f = DFS(start, INF))>0) flow += f; } return flow; } int main() { LL n, m, T; cnt = 0; start=0; memset(head, -1, sizeof(head)); scanf("%lld%lld", &n, &m); for(LL i=1; i<=n; i++){ LL x; scanf("%lld", &x); addedge(i, i+n, x); addedge(i+n, i, 0); addedge(start, i, INF); addedge(i+n, start, 0); } for(int i=1; i<=m; i++){ int x, y, z; scanf("%d%d%d", &x, &y, &z); addedge(x, y+n, 0); addedge(y+n, x, z); addedge(x+n, y, z); addedge(y, x+n, 0); } scanf("%lld%lld", &tend, &T); tend+=n; LL ans=maxflow(); printf("%.8f\n", 1.0*T/ans); return 0; }