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  • hdu 2444 交叉染色判断二分图+二分最大匹配

    /*1A 31ms*/
    #include<stdio.h>
    #include<string.h>
    #define N 300
    int n;
    struct node {
    int u,v,next;
    }bian[N*N*2];
    int color[N],vis[N],link[N],visit[N],ma[N][N],f[N],head[N],yong;
    void addedge(int u,int v) {
    bian[yong].u=u;
    bian[yong].v=v;
    bian[yong].next=head[u];
    head[u]=yong++;
    }
    void init() {//初始化
        memset(ma,0,sizeof(ma));
        memset(f,0,sizeof(f));
        memset(visit,0,sizeof(visit));
        memset(link,-1,sizeof(link));
        memset(color,0,sizeof(color));
        memset(vis,0,sizeof(vis));
        memset(head,-1,sizeof(head));
        yong=0;
    }
    int ff(int u) {//二分匹配
    int i;
    for(i=1;i<=n;i++)
        if(visit[i]==0&&ma[u][i]) {
            visit[i]=1;
            if(link[i]==-1||ff(link[i])) {
                link[i]=u;
                return 1;
            }
        }
        return 0;
    }
    int find(int u,int f) {//交叉染色判定
    int i;
    for(i=head[u];i!=-1;i=bian[i].next) {
        int v=bian[i].v;
        if(f)
           ma[u][v]=1;//建立邻接矩阵
        else
            ma[v][u]=1;
        if(!vis[v]) {
            color[v]=!color[u];
            vis[v]=1;
            find(v,f^1);
        }
        else
            if(color[v]==color[u])return 0;
    }
    return 1;
    }
    int main() {
        int m,i,a,b,ok;
        while(scanf("%d%d",&n,&m)!=EOF) {
                init();
            while(m--) {
                scanf("%d%d",&a,&b);
                addedge(a,b);
                addedge(b,a);
                f[a]=f[b]=1;//存在
            }
            ok=0;
        for(i=1;i<=n;i++)
            if(!vis[i]&&f[i]) {
                color[i]=1;
                vis[i]=1;
                if(find(i,1)==0)
                    ok=1;
            }
            if(ok) {//是否存在不能交叉染色的
                printf("No
    ");
                continue;
            }
          b=0;
    for(i=1;i<=n;i++) {//二分最大匹配
        memset(visit,0,sizeof(visit));
        b+=ff(i);
    }
    printf("%d
    ",b);
        }
    return 0;
    }
    

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  • 原文地址:https://www.cnblogs.com/thefirstfeeling/p/4410687.html
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