SGU 194 Reactor Cooling

SGU_194

    无源汇的上下界可行流问题，这类的问题的解法可以参考：http://blog.csdn.net/water_glass/article/details/6823741，按套路来就可以了。

#include<stdio.h>
#include<string.h>
#include<algorithm>
#define MAXD 210
#define MAXM 240010
#define INF 0x3f3f3f3f
int N, M, first[MAXD], e, next[MAXM], v[MAXM], flow[MAXM];
int S, T, d[MAXD], q[MAXD], work[MAXD];
struct Edge
{
    int x, y, low, high;
}edge[MAXM];
void add(int x, int y, int z)
{
    v[e] = y, flow[e] = z;
    next[e] = first[x], first[x] = e ++;    
}
void init()
{
    int i, x, y;
    S = 0, T = N + 1;
    memset(first, -1, sizeof(first[0]) * T + 1);
    e = 0;
    for(i = 0; i < M; i ++)
    {
        scanf("%d%d%d%d", &edge[i].x, &edge[i].y, &edge[i].low, &edge[i].high);
        add(edge[i].x, edge[i].y, edge[i].high - edge[i].low), add(edge[i].y, edge[i].x, 0);
    }
}
int build()
{
    int i, sum = 0;
    for(i = 0; i < M; i ++)
    {
        add(S, edge[i].y, edge[i].low), add(edge[i].y, S, 0), add(edge[i].x, T, edge[i].low), add(T, edge[i].x, 0);
        sum += edge[i].low;
    }
    return sum;    
}
int bfs()
{
    int i, j, rear = 0;
    memset(d, -1, sizeof(d[0]) * (T + 1));
    d[S] = 0, q[rear ++] = S;
    for(i = 0; i < rear; i ++)
        for(j = first[q[i]]; j != -1; j = next[j])
            if(flow[j] && d[v[j]] == -1)
            {
                d[v[j]] = d[q[i]] + 1, q[rear ++] = v[j];
                if(v[j] == T) return 1;    
            }
    return 0;
}
int dfs(int cur, int a)
{
    if(cur == T) return a;
    for(int &i = work[cur]; i != -1; i = next[i])
        if(flow[i] && d[v[i]] == d[cur] + 1)
            if(int t = dfs(v[i], std::min(a, flow[i])))
            {
                flow[i] -= t, flow[i ^ 1] += t;
                return t;
            }
    return 0;
}
int dinic()
{
    int ans = 0, t;
    while(bfs())
    {
        memcpy(work, first, sizeof(first[0]) * (T + 1));
        while(t = dfs(S, INF))
            ans += t;
    }
    return ans;
}
void print()
{
    int i;
    printf("YES\n");
    for(i = 0; i < M; i ++)
        printf("%d\n", flow[i << 1 | 1] + edge[i].low);    
}
void solve()
{
    int sum = build();
    if(sum != dinic())
        printf("NO\n");
    else
        print();    
}
int main()
{
    while(scanf("%d%d", &N, &M) == 2)
    {
        init();
        solve();    
    }
    return 0;    
}