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【USACO 2022FEB P】Paint by Rectangles
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#include<bits/stdc++.h>
#include<bits/stdc++.h>
using namespace std;
using namespace std;
#define F(i,a,b) for(int i=a;i<=b;i++)
#define F(i,a,b) for(int i=a;i<=b;i++)
#define Fd(i,a,b) for(int i=a;i>=b;i--)
#define Fd(i,a,b) for(int i=a;i>=b;i--)
#define LL long long
#define LL long long
#define N 200010
#define N 200010
LL X,C,F,B;
LL X,C,F,B;
int n,T,L[N],R[N],op[N],f[N],col[N];
int n,T,L[N],R[N],op[N],f[N],col[N];
struct node{int lx,ly,rx,ry;}a[N];
struct node{int lx,ly,rx,ry;}a[N];
int find(int x){return f[x]==x?x:(f[x]=find(f[x]));}
int find(int x){return f[x]==x?x:(f[x]=find(f[x]));}
void merge(int x,int y){int A=find(x),B=find(y);if(A!=B)f[A]=B;}
void merge(int x,int y){int A=find(x),B=find(y);if(A!=B)f[A]=B;}
struct tree{
struct tree{
#define ls x<<1
#define ls x<<1
#define rs (x<<1)|1
#define rs (x<<1)|1
int tag[N*4],sum[N*4];
int tag[N*4],sum[N*4];
void pushdown(int x){
void pushdown(int x){
if(!tag[x])return;
if(!tag[x])return;
if(sum[ls]){
if(sum[ls]){
if(!tag[ls])tag[ls]=tag[x];
if(!tag[ls])tag[ls]=tag[x];
else merge(tag[ls],tag[x]);
else merge(tag[ls],tag[x]);
}
}
if(sum[rs]){
if(sum[rs]){
if(!tag[rs])tag[rs]=tag[x];
if(!tag[rs])tag[rs]=tag[x];
else merge(tag[rs],tag[x]);
else merge(tag[rs],tag[x]);
}
}
tag[x]=0;
tag[x]=0;
}
}
void pushup(int x){sum[x]=sum[ls]+sum[rs];}
void pushup(int x){sum[x]=sum[ls]+sum[rs];}
void modify(int x,int l,int r,int ll,int rr,int pos){
void modify(int x,int l,int r,int ll,int rr,int pos){
if(r<ll||l>rr)return;
if(r<ll||l>rr)return;
if(l>=ll&&r<=rr){
if(l>=ll&&r<=rr){
if(!sum[x])return;
if(!sum[x])return;
if(!tag[x])tag[x]=pos;
if(!tag[x])tag[x]=pos;
else merge(tag[x],pos);
else merge(tag[x],pos);
return;
return;
}
}
int mid=l+r>>1;
int mid=l+r>>1;
pushdown(x);
pushdown(x);
modify(ls,l,mid,ll,rr,pos);modify(rs,mid+1,r,ll,rr,pos);
modify(ls,l,mid,ll,rr,pos);modify(rs,mid+1,r,ll,rr,pos);
pushup(x);
pushup(x);
}
}
void change(int x,int l,int r,int k,int pos){
void change(int x,int l,int r,int k,int pos){
if(l==r){
if(l==r){
if(k==1)sum[x]++;
if(k==1)sum[x]++;
else sum[x]--,tag[x]=0;
else sum[x]--,tag[x]=0;
return;
return;
}
}
int mid=l+r>>1;
int mid=l+r>>1;
pushdown(x);
pushdown(x);
pos<=mid?change(ls,l,mid,k,pos):change(rs,mid+1,r,k,pos);
pos<=mid?change(ls,l,mid,k,pos):change(rs,mid+1,r,k,pos);
pushup(x);
pushup(x);
}
}
int query(int x,int l,int r,int ll,int rr){
int query(int x,int l,int r,int ll,int rr){
if(r<ll||l>rr)return 0;
if(r<ll||l>rr)return 0;
if(l>=ll&&r<=rr)return sum[x];
if(l>=ll&&r<=rr)return sum[x];
int mid=l+r>>1;
int mid=l+r>>1;
return query(ls,l,mid,ll,rr)+query(rs,mid+1,r,ll,rr);
return query(ls,l,mid,ll,rr)+query(rs,mid+1,r,ll,rr);
}
}
}t;
}t;
vector<int>S[N];
vector<int>S[N];
int main(){
int main(){
scanf("%d%d",&n,&T);
scanf("%d%d",&n,&T);
F(i,1,n){
F(i,1,n){
f[i]=i;
f[i]=i;
scanf("%d%d%d%d",&a[i].lx,&a[i].ly,&a[i].rx,&a[i].ry);
scanf("%d%d%d%d",&a[i].lx,&a[i].ly,&a[i].rx,&a[i].ry);
op[a[i].lx]=i;op[a[i].rx]=-i;
op[a[i].lx]=i;op[a[i].rx]=-i;
L[a[i].lx]=L[a[i].rx]=a[i].ly;R[a[i].lx]=R[a[i].rx]=a[i].ry;
L[a[i].lx]=L[a[i].rx]=a[i].ly;R[a[i].lx]=R[a[i].rx]=a[i].ry;
}
}
F(i,1,2*n){
F(i,1,2*n){
if(op[i]>0){
if(op[i]>0){
t.change(1,1,n*2,1,L[i]);t.change(1,1,n*2,1,R[i]);
t.change(1,1,n*2,1,L[i]);t.change(1,1,n*2,1,R[i]);
t.modify(1,1,n*2,L[i],R[i],op[i]);
t.modify(1,1,n*2,L[i],R[i],op[i]);
int q=t.query(1,1,n*2,L[i]+1,R[i]-1),d=t.query(1,1,n*2,1,L[i]-1)+1;
int q=t.query(1,1,n*2,L[i]+1,R[i]-1),d=t.query(1,1,n*2,1,L[i]-1)+1;
d&1?B+=(q>>1)+1:B+=q+1>>1;
d&1?B+=(q>>1)+1:B+=q+1>>1;
X+=q;
X+=q;
col[i]=d&1;
col[i]=d&1;
}else{
}else{
t.change(1,1,n*2,-1,L[i]);t.change(1,1,n*2,-1,R[i]);
t.change(1,1,n*2,-1,L[i]);t.change(1,1,n*2,-1,R[i]);
t.modify(1,1,n*2,L[i],R[i],-op[i]);
t.modify(1,1,n*2,L[i],R[i],-op[i]);
int q=t.query(1,1,n*2,L[i]+1,R[i]-1);
int q=t.query(1,1,n*2,L[i]+1,R[i]-1);
int u=t.query(1,1,n*2,R[i]+1,n*2)+1,d=t.query(1,1,n*2,1,L[i]-1)+1;
int u=t.query(1,1,n*2,R[i]+1,n*2)+1,d=t.query(1,1,n*2,1,L[i]-1)+1;
// Black 1,White 0
// Black 1,White 0
if((d&1)&&(u&1))B+=q>>1;
if((d&1)&&(u&1))B+=q>>1;
else if(!(d&1)&&!(u&1))B+=(q>>1)-1;
else if(!(d&1)&&!(u&1))B+=(q>>1)-1;
else B+=(q+1>>1)-1;
else B+=(q+1>>1)-1;
X+=q;
X+=q;
}
}
}
}
F(i,1,n){if(find(i)==i)C++;S[find(i)].push_back(a[i].lx);}
F(i,1,n){if(find(i)==i)C++;S[find(i)].push_back(a[i].lx);}
F(i,1,n)if(find(i)==i){
F(i,1,n)if(find(i)==i){
int tx=n*2+1,pos;
int tx=n*2+1,pos;
for(auto d:S[i])if(d<tx)tx=d,pos=d;
for(auto d:S[i])if(d<tx)tx=d,pos=d;
if(!col[pos])B++;
if(!col[pos])B++;
}
}
F=X+C+1;
F=X+C+1;
if(T==1)printf("%lld",F);
if(T==1)printf("%lld",F);
else printf("%lld %lld",F-B,B);
else printf("%lld %lld",F-B,B);
return 0;
return 0;
}
}
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#include<bits/stdc++.h> using namespace std; #define F(i,a,b) for(int i=a;i<=b;i++) #define Fd(i,a,b) for(int i=a;i>=b;i--) #define LL long long #define N 200010 LL X,C,F,B; int n,T,L[N],R[N],op[N],f[N],col[N]; struct node{int lx,ly,rx,ry;}a[N]; int find(int x){return f[x]==x?x:(f[x]=find(f[x]));} void merge(int x,int y){int A=find(x),B=find(y);if(A!=B)f[A]=B;} struct tree{ #define ls x<<1 #define rs (x<<1)|1 int tag[N*4],sum[N*4]; void pushdown(int x){ if(!tag[x])return; if(sum[ls]){ if(!tag[ls])tag[ls]=tag[x]; else merge(tag[ls],tag[x]); } if(sum[rs]){ if(!tag[rs])tag[rs]=tag[x]; else merge(tag[rs],tag[x]); } tag[x]=0; } void pushup(int x){sum[x]=sum[ls]+sum[rs];} void modify(int x,int l,int r,int ll,int rr,int pos){ if(r<ll||l>rr)return; if(l>=ll&&r<=rr){ if(!sum[x])return; if(!tag[x])tag[x]=pos; else merge(tag[x],pos); return; } int mid=l+r>>1; pushdown(x); modify(ls,l,mid,ll,rr,pos);modify(rs,mid+1,r,ll,rr,pos); pushup(x); } void change(int x,int l,int r,int k,int pos){ if(l==r){ if(k==1)sum[x]++; else sum[x]--,tag[x]=0; return; } int mid=l+r>>1; pushdown(x); pos<=mid?change(ls,l,mid,k,pos):change(rs,mid+1,r,k,pos); pushup(x); } int query(int x,int l,int r,int ll,int rr){ if(r<ll||l>rr)return 0; if(l>=ll&&r<=rr)return sum[x]; int mid=l+r>>1; return query(ls,l,mid,ll,rr)+query(rs,mid+1,r,ll,rr); } }t; vector<int>S[N]; int main(){ scanf("%d%d",&n,&T); F(i,1,n){ f[i]=i; scanf("%d%d%d%d",&a[i].lx,&a[i].ly,&a[i].rx,&a[i].ry); op[a[i].lx]=i;op[a[i].rx]=-i; L[a[i].lx]=L[a[i].rx]=a[i].ly;R[a[i].lx]=R[a[i].rx]=a[i].ry; } F(i,1,2*n){ if(op[i]>0){ t.change(1,1,n*2,1,L[i]);t.change(1,1,n*2,1,R[i]); t.modify(1,1,n*2,L[i],R[i],op[i]); int q=t.query(1,1,n*2,L[i]+1,R[i]-1),d=t.query(1,1,n*2,1,L[i]-1)+1; d&1?B+=(q>>1)+1:B+=q+1>>1; X+=q; col[i]=d&1; }else{ t.change(1,1,n*2,-1,L[i]);t.change(1,1,n*2,-1,R[i]); t.modify(1,1,n*2,L[i],R[i],-op[i]); int q=t.query(1,1,n*2,L[i]+1,R[i]-1); int u=t.query(1,1,n*2,R[i]+1,n*2)+1,d=t.query(1,1,n*2,1,L[i]-1)+1; // Black 1,White 0 if((d&1)&&(u&1))B+=q>>1; else if(!(d&1)&&!(u&1))B+=(q>>1)-1; else B+=(q+1>>1)-1; X+=q; } } F(i,1,n){if(find(i)==i)C++;S[find(i)].push_back(a[i].lx);} F(i,1,n)if(find(i)==i){ int tx=n*2+1,pos; for(auto d:S[i])if(d<tx)tx=d,pos=d; if(!col[pos])B++; } F=X+C+1; if(T==1)printf("%lld",F); else printf("%lld %lld",F-B,B); return 0; }
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#include<bits/stdc++.h> using namespace std; #define F(i,a,b) for(int i=a;i<=b;i++) #define Fd(i,a,b) for(int i=a;i>=b;i--) #define LL long long #define N 200010 LL X,C,F,B; int n,T,L[N],R[N],op[N],f[N],col[N]; struct node{int lx,ly,rx,ry;}a[N]; int find(int x){return f[x]==x?x:(f[x]=find(f[x]));} void merge(int x,int y){int A=find(x),B=find(y);if(A!=B)f[A]=B;} struct tree{ #define ls x<<1 #define rs (x<<1)|1 int tag[N*4],sum[N*4]; void pushdown(int x){ if(!tag[x])return; if(sum[ls]){ if(!tag[ls])tag[ls]=tag[x]; else merge(tag[ls],tag[x]); } if(sum[rs]){ if(!tag[rs])tag[rs]=tag[x]; else merge(tag[rs],tag[x]); } tag[x]=0; } void pushup(int x){sum[x]=sum[ls]+sum[rs];} void modify(int x,int l,int r,int ll,int rr,int pos){ if(r<ll||l>rr)return; if(l>=ll&&r<=rr){ if(!sum[x])return; if(!tag[x])tag[x]=pos; else merge(tag[x],pos); return; } int mid=l+r>>1; pushdown(x); modify(ls,l,mid,ll,rr,pos);modify(rs,mid+1,r,ll,rr,pos); pushup(x); } void change(int x,int l,int r,int k,int pos){ if(l==r){ if(k==1)sum[x]++; else sum[x]--,tag[x]=0; return; } int mid=l+r>>1; pushdown(x); pos<=mid?change(ls,l,mid,k,pos):change(rs,mid+1,r,k,pos); pushup(x); } int query(int x,int l,int r,int ll,int rr){ if(r<ll||l>rr)return 0; if(l>=ll&&r<=rr)return sum[x]; int mid=l+r>>1; return query(ls,l,mid,ll,rr)+query(rs,mid+1,r,ll,rr); } }t; vector<int>S[N]; int main(){ scanf("%d%d",&n,&T); F(i,1,n){ f[i]=i; scanf("%d%d%d%d",&a[i].lx,&a[i].ly,&a[i].rx,&a[i].ry); op[a[i].lx]=i;op[a[i].rx]=-i; L[a[i].lx]=L[a[i].rx]=a[i].ly;R[a[i].lx]=R[a[i].rx]=a[i].ry; } F(i,1,2*n){ if(op[i]>0){ t.change(1,1,n*2,1,L[i]);t.change(1,1,n*2,1,R[i]); t.modify(1,1,n*2,L[i],R[i],op[i]); int q=t.query(1,1,n*2,L[i]+1,R[i]-1),d=t.query(1,1,n*2,1,L[i]-1)+1; d&1?B+=(q>>1)+1:B+=q+1>>1; X+=q; col[i]=d&1; }else{ t.change(1,1,n*2,-1,L[i]);t.change(1,1,n*2,-1,R[i]); t.modify(1,1,n*2,L[i],R[i],-op[i]); int q=t.query(1,1,n*2,L[i]+1,R[i]-1); int u=t.query(1,1,n*2,R[i]+1,n*2)+1,d=t.query(1,1,n*2,1,L[i]-1)+1; // Black 1,White 0 if((d&1)&&(u&1))B+=q>>1; else if(!(d&1)&&!(u&1))B+=(q>>1)-1; else B+=(q+1>>1)-1; X+=q; } } F(i,1,n){if(find(i)==i)C++;S[find(i)].push_back(a[i].lx);} F(i,1,n)if(find(i)==i){ int tx=n*2+1,pos; for(auto d:S[i])if(d<tx)tx=d,pos=d; if(!col[pos])B++; } F=X+C+1; if(T==1)printf("%lld",F); else printf("%lld %lld",F-B,B); return 0; }
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