poj 1698 最大流sap

/*
题意:女孩拍片,每部电影只能在每周固定的几天里面拍,总共需要拍D天,并且需要在W周内拍完,女孩
每天只能为一部电影拍片,问女孩是否能全部拍完。

题解:最大流;
建图:将每个星期化为总的每一天为W*7个点,每部电影为N个点,电影在哪天可以拍则加入一条有向边,
并且权值为1,这样保证当天同一部只能拍一天;加入源点连接各个电影的结点,权值为需求D,最后加入
汇点,每一天都连接向这个汇点,权值分别为1,最终求出最大流若与电影天数总和相等则可以拍完。
*/
#include <cstdio>
#include <cstring>

#define EMAX 15000
#define VMAX 400

const int INF = 0xfffffff;

int head[VMAX],dis[VMAX],cur[VMAX],gap[VMAX],pre[VMAX];
int map[VMAX][VMAX];
int EN;
struct edge
{
    int from,to;
    int weight;
    int next;
}e[EMAX];

void insert(int u,int v,int w) 
{
    e[EN].from = u;
    e[EN].to = v;
    e[EN].weight = w;
    e[EN].next = head[u];    
    head[u] = EN++;
    e[EN].weight = 0;
    e[EN].from = v;
    e[EN].to = u;
    e[EN].next = head[v];    
    head[v] = EN++;
}

int sap(int s,int t, int n)//sap模版求最大流
{
    memset(dis,0,sizeof(dis));
    memset(gap,0,sizeof(gap));
    for(int i=0; i<=n; i++)
        cur[i] = head[i];
    int u = pre[s];
    pre[s] = s;
    int ret = 0;
    int temp = -1;
    gap[0] = n;
    bool flag;
    while(dis[s] < n)
    {
        flag = false;
        for(int &i = cur[u]; i != -1; i = e[i].next)
        {
            int v = e[i].to;
            if(e[i].weight && dis[u] == dis[v] + 1)
            {
                if (temp == -1 || temp>e[i].weight)
                    temp = e[i].weight;
                pre[v] = u;
                u = v;
                if(v == t)
                {
                    ret += temp;
                    for(u = pre[u];v != s;v = u,u = pre[u])
                    {
                        e[cur[u]].weight -= temp;
                        e[cur[u]^1].weight += temp;
                    }
                    temp = -1;
                }
                flag = true;
                break;
            }
        }
        if (flag)
            continue;

        int mindis = n;
        for(int i = head[u]; i != -1 ; i = e[i].next)
        {
            int v = e[i].to;
            if(e[i].weight && mindis > dis[v])
            {
                cur[u] = i;
                mindis = dis[v];
            }
        }
        gap[dis[u]]--;
        if( gap[dis[u]] == 0)
            break;
        dis[u] = mindis+1;
        gap[dis[u]]++;
        u = pre[u];
    }
    return ret;
}

int main(void)
{
    int t,n,sum,d,w;
    int week[8];
    scanf("%d",&t);
    while (t--)
    {
        memset(head,-1,sizeof(head));
        sum = EN = 0;
        scanf("%d",&n);
        int max = -1;
        for(int i=1; i<=n; i++)
        {
            for(int j=1; j<=7; j++)
                scanf("%d",&week[j]);
            scanf("%d%d",&d,&w);

            if (max < w)
                max = w;

            sum += d;
            insert(0,i,d);//源点与电影加边
            for(int j=1; j<=7; j++)//电影与日期加边
            {
                if (week[j])
                {
                    for(int k=0; k<w; k++)
                        insert(i,n+k*7+j,1);
                }
            }
        }
        for(int i=n+1; i<=n+7*max; i++)//日期与汇点加边
            insert(i,n+7*max+1,1);
        if (sum == sap(0,n+7*max+1,n+7*max+2))
            printf("Yes\n");
        else
            printf("No\n");
    }
    return 0;
}

 

posted @ 2014-03-20 23:50  辛力啤  阅读(210)  评论(0编辑  收藏  举报