Solución al problema número 820 de UVA - 820.

Cualquier duda no dudes en contactar.

#include <bits/stdc++.h>

using namespace std;

struct Node {
    int x, y, v;// x->y, v
    int next;
} edge[50005];
int e, head[1005], dis[1005], previ[1005], record[1005];
void addEdge(int x, int y, int v) {
    edge[e].x = x, edge[e].y = y, edge[e].v = v;
    edge[e].next = head[x], head[x] = e++;
    edge[e].x = y, edge[e].y = x, edge[e].v = 0;
    edge[e].next = head[y], head[y] = e++;
}
int maxflow(int s, int t) {
    int flow = 0;
    int i, j, x, y;
    while(1) {
        memset(dis, 0, sizeof(dis));
        dis[s] =  0xffff; // oo
        queue<int> Q;
        Q.push(s);
        while(!Q.empty()) {
            x = Q.front();
            Q.pop();
            for(i = head[x]; i != -1; i = edge[i].next) {
                y = edge[i].y;
                if(dis[y] == 0 && edge[i].v > 0) {
                    previ[y] = x;
                    record[y] = i;
                    dis[y] = std::min(dis[x], edge[i].v);
                    Q.push(y);
                }
            }
            if(dis[t])  break;
        }
        if(dis[t] == 0) break;
        flow += dis[t];
        for(x = t; x != s; x = previ[x]) {
            int ri = record[x];
            edge[ri].v -= dis[t];
            edge[ri^1].v += dis[t];
        }
    }
    return flow;
}

int main() {
    int n, i=1;
    while(scanf("%d", &n) && n!=0) {
        e=0;
        memset(head, -1, sizeof(head));
        int s, t, c, x, y, p;
        cin >> s >> t >> c;
        while(c--) {
            cin >> x >> y >> p;
            addEdge(x, y, p);
            addEdge(y, x, p);
        }
        int flow = maxflow(s, t);
        cout << "Network " << i << "\nThe bandwidth is " << flow <<".\n\n";
        i++;
    }

    return 0;
}

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