方格取数(2)

http://acm.hdu.edu.cn/showproblem.php?pid=1569

与Hdoj1565类似,但 这里是n*m的矩阵,而且n、m<=50,用邻接矩阵存会超内存,所以改为邻接表,但算法思想是一样滴。

#include<stdio.h>
#include<string.h>
#include<queue>
#include<vector>
#include<algorithm>
using namespace std;

const int INF = 0x3f3f3f3f;
int map[55][55];
int a[2600],pre[2600],flow[2600][2600];
int m,n,sum;
int s,t;
int maxflow;
struct node
{
    int v,w;
};
vector <struct node> edge[2600];

void build_graph()
{
    for(int i = 1; i <= n; i++)
    {
        for(int j = 1; j <= m; j++)
        {
            int it = (i-1)*m+j;
            if((i+j)%2 == 0)
                edge[s].push_back((struct node){it,map[i][j]});
            else
                edge[it].push_back((struct node){t,map[i][j]});
        }
    }

    for(int i = 1; i <= n; i++)
    {
        for(int j = 1; j <= m; j++)
        {
            if((i+j)%2==0)
            {
                int it = (i-1)*m+j;
                if(j < m)
                {
                    edge[it].push_back((struct node){it+1,INF});
                    edge[it+1].push_back((struct node){it,0});
                }
                if(j > 1)
                {
                    edge[it].push_back((struct node){it-1,INF});
                    edge[it-1].push_back((struct node){it,0});
                }
                if(i > 1)
                {
                    edge[it].push_back((struct node){it-m,INF});
                    edge[it-m].push_back((struct node){it,0});
                }
                if(i < n)
                {
                    edge[it].push_back((struct node){it+m,INF});
                    edge[it+m].push_back((struct node){it,0});
                }
            }
        }
    }
}
void E_K()
{
    queue<int>que;
    while(!que.empty())
        que.pop();
    memset(flow,0,sizeof(flow));
    while(true)
    {
        memset(a,0,sizeof(a));
        a[s] = INF;
        que.push(s);

        while(!que.empty())
        {
            int u = que.front();
            que.pop();

            for(int i = 0; i < (int)edge[u].size(); i++)
            {
                int v = edge[u][i].v;
                int w = edge[u][i].w;
                if(!a[v] && flow[u][v] < w)
                {
                    a[v] = min(a[u],w-flow[u][v]);
                    que.push(v);
                    pre[v] = u;
                }
            }
        }
        if(a[t] == 0)
            break;

        for(int u = t; u!=s; u = pre[u])
        {
            flow[pre[u]][u] += a[t];
            flow[u][pre[u]] -= a[t];
        }
        maxflow += a[t];
    }
}

int main()
{
    while(~scanf("%d %d",&n,&m))
    {
        sum = 0;
        for(int i = 1; i <= n; i++)
        {
            for(int j = 1; j <= m; j++)
            {
                scanf("%d",&map[i][j]);
                sum += map[i][j];
            }
        }

        s = 0;
        t = n*m+1;
        for(int i = 0; i <= t; i++)
            edge[i].clear();
        build_graph();
        maxflow = 0;
        E_K();
        printf("%d\n",sum-maxflow);
    }

    return 0;
}


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