codechef: BINARY, Binary Movements

很是有毛病的一道题,我一个一个读字符死活过不去,改为整行整行读就 A 了...ios

作法就是...最小点覆盖...git

咱们发现能够把一个点向上跳看作被吃掉了,而后最顶层的点是没法向上跳因此不能被吃掉,而后被吃掉的点相连的边都会被删除...spa

这样转换完模型以后特判两下用二分图匹配就行了(由于这里的环最可能是四元,或者说是偶数长度环...)code

注意顶部的点必需要特判...由于顶部的点没法删除...get

//by Judge
#include<cstdio>
#include<cstring>
#include<iostream>
#define Rg register
#define fp(i,a,b) for(Rg int i=(a),I=(b)+1;i<I;++i)
#define fd(i,a,b) for(Rg int i=(a),I=(b)-1;i>I;--i)
#define go(u) for(Rg int i=head[u],v=e[i].to;i;v=e[i=e[i].nxt].to)
using namespace std;
const int N=103;
const int M=2e4+3;
typedef int MP[N][N];
typedef int arr[M];
#ifndef Judge
#define getchar() (p1==p2&&(p2=(p1=buf)+fread(buf,1,1<<21,stdin),p1==p2)?EOF:*p1++)
#endif
char buf[1<<21],*p1=buf,*p2=buf;
inline int read(){ int x=0,f=1; char c=getchar();
    for(;!isdigit(c);c=getchar()) if(c=='-') f=-1;
    for(;isdigit(c);c=getchar()) x=x*10+c-'0'; return x*f;
} inline int cread(int* s){ Rg int len=0; Rg char ch;
    while((ch=getchar())!='O'&&ch!='.');
    for(s[++len]=ch=='O';(ch=getchar())=='O'||ch=='.';s[++len]=ch=='O');
    return s[len+1]='\0',len;
} char sr[1<<21],z[20];int C=-1,Z;
inline void Ot(){fwrite(sr,1,C+1,stdout),C=-1;}
inline void print(Rg int x,Rg char chr=' '){
    if(C>1<<20)Ot();if(x<0)sr[++C]=45,x=-x;
    while(z[++Z]=x%10+48,x/=10);
    while(sr[++C]=z[Z],--Z);sr[++C]=chr;
} int n,cnt,tim,res,pat,head[M<<2];
arr px,py,to,vis,bl,now,ok; MP id,mp;
struct Edge{ int to,nxt; }e[M];
inline void add(int u,int v){
    e[++pat]=(Edge){v,head[u]},head[u]=pat;
}
bool dfs(int u){ vis[u]=tim;
    go(u) if(vis[v]^tim){ vis[v]=tim;
        if(!to[v]||dfs(to[v])) return to[v]=u,1;
    } return 0;
}
int main(){
    fp(i,1,read()){ n=read(),cnt=pat=res=0;
        fp(i,1,n){
            cread(mp[i]);
            fp(j,1,n) if(mp[i][j])
                id[i][j]=++cnt,
                px[cnt]=i,py[cnt]=j,
                bl[cnt]=(i&1);
        }
        fp(i,1,n+1) mp[n+1][i]=0;
        memset(ok,0,(cnt+2)<<2);
        memset(to,0,(cnt+2)<<2);
        memset(vis,0,(cnt+2)<<2);
        memset(now,0,(cnt+2)<<2);
        memset(head,0,(cnt+2)<<2);
        fp(i,1,n) fp(j,1,n)
            if(mp[i][j]&&!mp[i-1][j-1]&&!mp[i-1][j+1]){
                now[id[i][j]]=1;
                if(mp[i+1][j+1]) now[id[i+1][j+1]]=2;
                if(mp[i+1][j-1]) now[id[i+1][j-1]]=2;
            }
        fp(i,1,cnt) res+=(now[i]==2);
        for(Rg int i=1;i<=n;i+=2) fp(j,1,n)
            if(mp[i][j]&&!now[id[i][j]]){
                if(mp[i-1][j-1]&&!now[id[i-1][j-1]])
                    add(id[i][j],id[i-1][j-1]);
                if(mp[i-1][j+1]&&!now[id[i-1][j+1]])
                    add(id[i][j],id[i-1][j+1]);
                if(mp[i+1][j-1]&&!now[id[i+1][j-1]])
                    add(id[i][j],id[i+1][j-1]);
                if(mp[i+1][j+1]&&!now[id[i+1][j+1]])
                    add(id[i][j],id[i+1][j+1]);
            }
        tim=0;
        fp(i,1,cnt) if(!now[i])
            if(++tim&&dfs(i)) ++res;
        fp(i,1,cnt) if(to[i]) ok[to[i]]=1;
        ++tim;
        fp(i,1,cnt) if(!now[i]&&bl[i]&&!ok[i]) dfs(i);
        fp(i,1,cnt) if(!now[i]&&bl[i]&&vis[i]^tim) now[i]=2;
        fp(i,1,cnt) if(!now[i]&&!bl[i]&&vis[i]==tim) now[i]=2;
        print(res,'\n');
        fd(i,cnt,1) if(now[i]&2){
            Rg int x=px[i],y=py[i]; print(x),print(y);
            sr[++C]=mp[x-1][y-1]?'L':'R',sr[++C]='\n';
        }
    } return Ot(),0;
}

/*
2
7
OOOOOOO
OOOOOOO
OOOOOOO
OOOOOOO
OOOOOOO
OOOOOOO
OOOOOOO
3
.O.
O.O
...



*/
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