bzoj1453: [Wc]Dface双面棋盘

Posted 2020-08-26 ccz181078

Description

Input

Output

经典的按时间分治维护图的动态连通性

#include<cstdio>
#include<vector>
int n,m,ans[2];
int v[207][207],id[207][207],idp=0,t1[207][207],t2[207][207];
int f[40007],h[40007],aa[40007][2];
int*op1[1000007],op2[1000007],opp=0;
inline void set(int*a,int b){
    op1[opp]=a;
    op2[opp++]=*a;
    *a=b;
}
struct op{
    op*nx;
    int x,y,c;
    void run(){
        while(x!=f[x])x=f[x];
        while(y!=f[y])y=f[y];
        if(x==y)return;
        set(ans+c,ans[c]-1);
        if(h[x]<h[y])set(f+x,y);
        else{
            if(h[x]==h[y])set(h+x,h[x]+1);
            set(f+y,x);
        }
    }
}os[3000007],*p=os,o1;
int l1,r1,a1,b1,c1;
struct node{
    node*lc,*rc;
    int L,R;
    op*o;
    void ins(){
        if(l1<=L&&R<=r1){
            *p=(op){o,a1,b1,c1};
            o=p++;
            return;
        }
        int M=L+R>>1;
        if(l1<=M)lc->ins();
        if(r1>M)rc->ins();
    }
    void dfs(){
        int tk=opp;
        for(;o;o=o->nx)o->run();
        if(L==R){
            aa[L][0]+=aa[L-1][0];
            aa[L][1]+=aa[L-1][1];
            printf("%d %d\n",ans[1]+aa[L][1],ans[0]+aa[L][0]);
        }else{
            lc->dfs();
            rc->dfs();
        }
        while(opp!=tk){
            --opp;
            *op1[opp]=op2[opp];
        }
    }
}ns[20007],*np=ns,*rt;
node*build(int L,int R){
    node*w=np++;
    w->L=L;w->R=R;
    if(L!=R){
        int M=L+R>>1;
        w->lc=build(L,M);
        w->rc=build(M+1,R);
    }
    return w;
}
void ins(int&l,int r,int a,int b,int c){
    l1=l;r1=r;a1=a;b1=b;c1=c;
    if(l1<=r1)rt->ins();
    l=0;
}
int main(){
    scanf("%d",&n,&m);
    for(int i=1;i<=n;++i){
        for(int j=1;j<=n;++j){
            scanf("%d",v[i]+j);
            ++ans[v[i][j]];
            id[i][j]=++idp;
            f[idp]=idp;
        }
    }
    for(int i=1;i<n;++i){
        for(int j=1;j<=n;++j)if(v[i][j]==v[i+1][j])t1[i][j]=1;
    }
    for(int i=1;i<=n;++i){
        for(int j=1;j<n;++j)if(v[i][j]==v[i][j+1])t2[i][j]=1;
    }
    scanf("%d",&m);
    rt=build(1,m);
    for(int i=1,x,y;i<=m;++i){
        scanf("%d%d",&x,&y);
        if(x>1){
            if(v[x][y]!=v[x-1][y])t1[x-1][y]=i;
            else ins(t1[x-1][y],i-1,id[x][y],id[x-1][y],v[x][y]);
        }
        if(x<n){
            if(v[x][y]!=v[x+1][y])t1[x][y]=i;
            else ins(t1[x][y],i-1,id[x][y],id[x+1][y],v[x][y]);
        }
        if(y>1){
            if(v[x][y]!=v[x][y-1])t2[x][y-1]=i;
            else ins(t2[x][y-1],i-1,id[x][y],id[x][y-1],v[x][y]);
        }
        if(y<n){
            if(v[x][y]!=v[x][y+1])t2[x][y]=i;
            else ins(t2[x][y],i-1,id[x][y],id[x][y+1],v[x][y]);
        }
        aa[i][v[x][y]]=-1;
        v[x][y]^=1;
        aa[i][v[x][y]]=1;
    }
    for(int i=1;i<n;++i){
        for(int j=1;j<=n;++j)if(v[i][j]==v[i+1][j])ins(t1[i][j],m,id[i][j],id[i+1][j],v[i][j]);
    }
    for(int i=1;i<=n;++i){
        for(int j=1;j<n;++j)if(v[i][j]==v[i][j+1])ins(t2[i][j],m,id[i][j],id[i][j+1],v[i][j]);
    }
    rt->dfs();
    return 0;
}