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UVA - 11082 Matrix Decompressing

时间:2015-08-26 11:57:47      阅读:154      评论:0      收藏:0      [点我收藏+]

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很经典的网络流模型,行列分别看成一个点,行和列和分别看出容量,下界是1,所以先减去1,之后在加上就好了。

前向星建图的话,打印解会比较麻烦。

#include<bits/stdc++.h>
using namespace std;

const int maxn = 42;

struct Edge
{
    int v,cap,flow;
};

vector<Edge> edges;
#define PB push_back

vector<int> G[maxn];

void AddEdge(int u,int v,int c)
{
    G[u].PB(edges.size());
    edges.PB(Edge{v,c,0});
    G[v].PB(edges.size());
    edges.PB(Edge{u,0,0});
}

const int INF = 0x3f3f3f3f;
int S,T;
int vcnt;
bool vis[maxn];
int d[maxn];
int q[maxn<<1];

bool bfs()
{
    memset(vis,0,sizeof(bool)*vcnt);
    int l = 0,r = 0;
    q[r++] = S; vis[S] = true;
    while(r>l){
        int u = q[l++];
        for(int i = 0; i < G[u].size(); i++){
            Edge &e = edges[G[u][i]];
            if(!vis[e.v] && e.cap >e.flow){
                vis[e.v] = true;
                d[e.v] = d[u]+1;
                q[r++] = e.v;
            }
        }
    }
    return vis[T];
}

int cur[maxn];
int dfs(int u,int a)
{
    if(u == T||!a) return a;
    int flow = 0, f;
    for(int &i = cur[u]; i < G[u].size(); i++){
        Edge &e = edges[G[u][i]];
        if(d[e.v] == d[u]+1 && (f = dfs(e.v,min(a,e.cap-e.flow)))>0){
            e.flow += f;
            edges[G[u][i]^1].flow -= f;
            flow += f;
            a -= f;
            if(!a) break;
        }
    }
    return flow;
}

int MaxFlow()
{
    int flow = 0;
    while(bfs()){
        memset(cur,0,sizeof(int)*vcnt);
        flow += dfs(S,INF);
    }
    return flow;
}

const int N = 20;
int rid[N],cid[N];


void init()
{
    vcnt = 2;
    edges.clear();
}

int main()
{
    //freopen("in.txt","r",stdin);
    S = 0; T = 1;
    int testCase; scanf("%d",&testCase);
    int mcnt = 0;
    while(testCase--){
        init();
        int R,C,cap,pre; scanf("%d%d",&R,&C);

        for(int i = 0, M = R+C+2; i < M; i++) G[i].clear();
        pre = 0;
        for(int i = 0; i < R; i++) {
            rid[i] = vcnt++;
            scanf("%d",&cap);
            AddEdge(S,rid[i],cap-pre-C);
            pre = cap;
        }
        pre = 0;
        for(int i = 0; i < C; i++){
            cid[i] = vcnt++;
            scanf("%d",&cap);
            AddEdge(cid[i],T,cap-pre-R);
            pre = cap;
        }

        for(int i = 0; i < R; i++)
        for(int j = 0; j < C; j++){
            AddEdge(rid[i],cid[j],19);
        }

        MaxFlow();

        printf("Matrix %d\n",++mcnt);
        for(int i = 0; i < R; i++){
            int k = 0, u = rid[i];
            for(int j = 0; j < G[u].size(); j++){
                Edge &e = edges[G[u][j]];
                if(e.v == cid[k]){
                    printf("%d%c",e.flow+1,++k==C?\n: );
                    if(k == C) break;
                }
            }
        }

        if(testCase) putchar(\n);
    }
    return 0;
}

 

UVA - 11082 Matrix Decompressing

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原文地址:http://www.cnblogs.com/jerryRey/p/4759939.html

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