• UVALIVE 3562 Remember the A La Mode!


    费用流 建图很简单直接上代码

    #include <map>
    #include <set>
    #include <list>
    #include <cmath>
    #include <ctime>
    #include <deque>
    #include <stack>
    #include <queue>
    #include <cctype>
    #include <cstdio>
    #include <string>
    #include <vector>
    #include <climits>
    #include <cstdlib>
    #include <cstring>
    #include <iostream>
    #include <algorithm>
    #define LL long long
    #define PI 3.1415926535897932626
    using namespace std;
    int gcd(int a, int b) {return a % b == 0 ? b : gcd(b, a % b);}
    #define MAXN 110
    #define MAXD 50000
    const int INF = 0x3f3f3f3f;
    int P,I;
    int G[MAXN][MAXN];
    queue<int>q;
    struct node
    {
            int u,v,next;
            int cap,flow,cost;
    }edge[MAXD];
    int cnt,src,tag;
    int head[MAXN];
    int p[MAXN],d[MAXN];
    bool inq[MAXN];
    int nump[MAXN],numi[MAXN];
    void addedge(int u ,int v, int cap ,int cost)
    {
            edge[cnt].u = u;
            edge[cnt].v = v;
            edge[cnt].flow = 0;
            edge[cnt].cap = cap;
            edge[cnt].cost = cost;
            edge[cnt].next = head[u];
            head[u] = cnt++;
    
            edge[cnt].v = u;
            edge[cnt].u = v;
            edge[cnt].flow= 0;
            edge[cnt].cap = 0;
            edge[cnt].cost = - cost;
            edge[cnt].next = head[v];
            head[v] = cnt++;
    }
    bool SPFA(int s,int t)
    {
            while (!q.empty()) q.pop();
            memset(inq,false,sizeof(inq));
            memset(d,0x3f,sizeof(d));
            memset(p,-1,sizeof(p));
            inq[s] = true; d[s] = 0;
            q.push(s);
            while (!q.empty())
            {
                    int u = q.front();q.pop();
                    inq[u] = false;
                    for (int  i = head[u] ; i != - 1; i = edge[i].next)
                    {
                            int v = edge[i].v;
                            if (d[v] > d[u] + edge[i].cost && edge[i].cap > edge[i].flow)
                            {
                                    d[v] = d[u] + edge[i].cost;
                                    p[v] = i;
                                    if (!inq[v])
                                    {
                                            inq[v] = true;
                                            q.push(v);
                                    }
                            }
                    }
            }
            return d[t] != INF;
    }
    int  slove()
    {
          int C = 0 ,F = 0;
          while (SPFA(src,tag))
          {
                  int a = INF;
                  for (int i = p[tag]; i != -1 ; i = p[edge[i].u]) a = min(a,edge[i].cap - edge[i].flow);
                  for (int i = p[tag]; i != -1; i = p[edge[i].u])
                  {
                          edge[i].flow += a;
                          edge[i ^ 1].flow -= a;
                  }
                  C += d[tag] * a;
                  F += a;
          }
          return C;
    }
    int main()
    {
            //freopen("sample.txt","r",stdin);
            int kase = 1;
            while (scanf("%d%d",&P,&I) != EOF)
            {
                    if (P == 0 && I == 0) break;
                    for (int i = 1; i <= P; i++)scanf("%d",&nump[i]);
                    for (int i = 1; i <= I; i++) scanf("%d",&numi[i]);
                    cnt = 0;
                    memset(head ,-1 ,sizeof(head));
                    src = 0;
                    tag = P + I + 1;
                    for (int i = 1 ;i <= P; i++)
                            for (int j = 1; j <= I; j++)
                    {
                            double tmp;
                            scanf("%lf",&tmp);
                            if (tmp < - 0.5) G[i][j] = -100;
                            else
                            {
                                    tmp = (tmp * 100 + 0.5);
                                    G[i][j] = (int) tmp;
                            }
                    }
                    int retmin,retmax;
                    for (int i = 1; i <= P; i++) addedge(src,i,nump[i],0);
                    for (int i = 1; i <= I; i++) addedge(P + i , tag ,numi[i],0);
                    for (int i = 1; i <= P; i++)
                            for (int j = 1; j <= I; j++)
                    {
                            if (G[i][j] == -100) continue;
                            addedge(i , P + j ,INF,G[i][j]);
                    }
                    retmin = slove();
                    cnt = 0;
                    memset(head,-1,sizeof(head));
                    for (int i = 1; i <= P; i++) addedge(src,i,nump[i],0);
                    for (int i = 1; i <= I; i++) addedge(P + i , tag ,numi[i],0);
                    for (int i = 1; i <= P; i++)
                            for (int j = 1; j <= I; j++)
                    {
                            if (G[i][j] == -100) continue;
                            addedge(i , P + j ,INF,-G[i][j]);
                    }
                    retmax = -1 * slove();
                    printf("Problem %d: %.2lf to %.2lf
    ",kase++,(double)retmin / 100.0,(double) retmax / 100.0);
            }
            return 0;
    }
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  • 原文地址:https://www.cnblogs.com/Commence/p/4060095.html
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