P3376 [模板] 网络最大流

https://www.luogu.org/blog/ONE-PIECE/wang-lao-liu-jiang-xie-zhi-dinic

EK 292ms

#include <bits/stdc++.h>
using namespace std; int n, m, s, t, cnt;
int l, r;
struct node {
int to, nex, val;
}E[200005];
int head[100005]; int vis[10005];
int que[10005]; struct no1 {
int to, edge;
}pre[10005]; bool bfs() {
for(int i = 1; i <= r; i++) {
vis[que[i]] = 0;
pre[i].to = -1;
pre[i].edge = -1;
}
l = 1, r = 0;
vis[s] = 1;
que[++r] = s; while(l <= r) {
int u = que[l];
l++; for(int i = head[u]; i; i = E[i].nex) {
int v = E[i].to; if(!vis[v] && E[i].val > 0) {
pre[v].to = u;
pre[v].edge = i;
if(v == t) return true;
vis[v] = 1;
que[++r] = v;
}
}
}
return false;
} int EK() {
int res = 0;
while(bfs()) {
int mi = 1e9;
for(int i = t; i != s; i = pre[i].to) {
mi = min(mi, E[pre[i].edge].val);
} for(int i = t; i != s; i = pre[i].to) {
E[pre[i].edge].val -= mi;
E[pre[i].edge ^ 1].val += mi;
}
res += mi;
}
return res;
} int main() {
scanf("%d%d%d%d", &n, &m, &s, &t);
cnt = 1; for(int i = 1; i <= m; i++) {
int a, b, c;
scanf("%d%d%d", &a, &b, &c);
E[++cnt].to = b; E[cnt].nex = head[a]; E[cnt].val = c; head[a] = cnt;
E[++cnt].to = a; E[cnt].nex = head[b]; E[cnt].val = 0; head[b] = cnt;
}
printf("%d\n", EK());
return 0;
}

Dinic多路增广 + 弧优化 199ms

#include <bits/stdc++.h>
using namespace std; int n, m, s, t, cnt;
int maxflow;
struct node {
int to, nex, val;
}E[200005];
int head[10005];
int cur[10005]; int dep[10005];
int inque[10005];
bool bfs() {
for(int i = 1; i <= n; i++) cur[i] = head[i], dep[i] = 0x3f3f3f3f, inque[i] = 0;
dep[s] = 0;
queue<int> que;
que.push(s);
inque[s] = 1; while(!que.empty()) {
int u = que.front();
que.pop();
inque[u] = 0; for(int i = head[u]; i; i = E[i].nex) {
int v = E[i].to;
if(E[i].val > 0 && dep[v] > dep[u] + 1) {
dep[v] = dep[u] + 1;
if(!inque[v]) {
inque[v] = 1;
que.push(v);
}
}
}
}
if(dep[t] != 0x3f3f3f3f) return true;
else return false;
} int vis;
int dfs(int x, int flow) {
int rlow = 0;
if(x == t) {
vis = 1;
maxflow += flow;
return flow;
}
int used = 0; //当前使用了多少
for(int i = cur[x]; i; i = E[i].nex) {
cur[x] = i; //更新弧
int v = E[i].to;
if(E[i].val > 0 && dep[v] == dep[x] + 1) {
if(rlow = dfs(v, min(flow - used, E[i].val))) {
used += rlow;
E[i].val -= rlow;
E[i ^ 1].val += rlow;
if(used == flow) break; //用完了
}
}
}
return used;
} void dinic() {
int lowflow;
while(bfs()) {
vis = 1;
while(vis) {
vis = 0;
dfs(s, 1000000000);
}
}
} int main() {
scanf("%d%d%d%d", &n, &m, &s, &t);
cnt = 1;
maxflow = 0; for(int i = 1; i <= m; i++) {
int a, b, c;
scanf("%d%d%d", &a, &b, &c);
E[++cnt].to = b; E[cnt].nex = head[a]; E[cnt].val = c; head[a] = cnt;
E[++cnt].to = a; E[cnt].nex = head[b]; E[cnt].val = 0; head[b] = cnt;
}
dinic();
printf("%d\n", maxflow);
return 0;
}
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