제출 #825458

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
825458		FEDIKUS	Rectangles (IOI19_rect)	C++17	100 / 100	4393 ms	558204 KiB

rect

#include "rect.h"
#include<iostream>
#include<vector>
#include<stack>
#include<set>
#include<map>
#include<algorithm>

using namespace std;
using ll = long long;
using pii = pair<int,int>;

const int maxn=2510;
const int maxa=7e6+10;

int n,m;
vector<vector<int> > a;
int ul[maxn][maxn],ud[maxn][maxn];
vector<pii> ver[maxn];
int bit[maxn];
int stk=0;
int stek[maxn];
vector<int> bucket[maxn];
int ima[maxn][maxn];

void add(int x,int t=1){
	x++;
	for(;x<maxn;x+=x&-x) bit[x]+=t;
}
int qry(int x){
	int ret=0;
	x++;
	if(x==0) return 0;
	for(;x>0;x-=x&-x) ret+=bit[x];
	return ret;
}
int query(int l,int r){
	return qry(r)-qry(l-1);
}

int res=0;

bool comp(tuple<int,int,int,int,int,int> &a,tuple<int,int,int,int,int,int> &b){
	return get<4>(a)<get<4>(b);
}

bool comp2(tuple<int,int,int,int,int,int> &a,tuple<int,int,int,int,int,int> &b){
	if(get<0>(a)<get<0>(b)) return true;
	if(get<0>(a)>get<0>(b)) return false;
	if(get<1>(a)<get<1>(b)) return true;
	else return false;
}

ll count_rectangles(vector<vector<int> > _a){
	swap(a,_a); n=a.size(); m=a[0].size();

	for(int i=0;i<n;i++){
		stk=0;
		for(int j=0;j<m;j++){
			while(stk>0 && a[i][stek[stk-1]]<a[i][j]) stk--;
			if(stk==0) ul[i][j]=-1;
			else ul[i][j]=stek[stk-1];
			stek[stk++]=j;
			if(ul[i][j]==j-1) ul[i][j]=-1;
		} stk=0;
		for(int j=m-1;j>=0;j--){
			while(stk>0 && a[i][stek[stk-1]]<a[i][j]) stk--;
			if(stk==0) ud[i][j]=-1;
			else ud[i][j]=stek[stk-1];
			stek[stk++]=j;
			if(ud[i][j]==j+1) ud[i][j]=-1;
			if(ud[i][j]!=-1 && a[i][j]==a[i][ud[i][j]]) ud[i][j]=-1;
		} stk=0;
	}
	for(int i=0;i<m;i++){
		for(int i=0;i<n;i++) bucket[i].clear();
		for(int j=0;j<n;j++){
			while(stk>0 && a[stek[stk-1]][i]<a[j][i]) stk--;
			if(stk>0){bucket[stek[stk-1]].push_back(j);}
			stek[stk++]=j;
		} stk=0;
		for(int j=n-1;j>=0;j--){
			while(stk>0 && a[stek[stk-1]][i]<a[j][i]) stk--;
			if(stk>0){bucket[j].push_back(stek[stk-1]);}
			stek[stk++]=j;
		} stk=0;
		for(int j=0;j<n;j++) for(int k:bucket[j]) ver[i].push_back({j,k});
		ver[i].resize(unique(ver[i].begin(),ver[i].end())-ver[i].begin());
	}

	bool prvi=true;
	vector<tuple<int,int,int,int,int,int> > sr; //col, vr, u, d, koji, res
	vector<tuple<int,int,int,int,int,int> > sl;
	for(int _=0;_<2;_++){
		int klkr=0,klkl=0;
		// desni cosak
		for(int i=0;i<n;i++) for(int j=0;j<n;j++) ima[i][j]=-1;
		vector<tuple<int,int,int> > tren;
		for(int j=1;j<m;j++){
			vector<tuple<int,int,int> > novi;
			for(pii x:ver[j]){
				if(x.second-x.first==1) continue;
				if(ima[x.first][x.second]==-1) novi.push_back({x.first,x.second,j});
				else novi.push_back({x.first,x.second,ima[x.first][x.second]});
			}
			for(auto x:tren){
				ima[get<0>(x)][get<1>(x)]=-1;

				int u,d,r,l;
				u=get<0>(x); d=get<1>(x); r=j; l=get<2>(x)-1;
				if(ul[u+1][r]==-1) continue;
				if(ul[u+1][r]<l) continue;
				l=ul[u+1][r];

				if(prvi){
					sr.push_back({l,r,u+1,d-1,klkr++,-1});
					sl.push_back({r,l,u+1,d-1,klkl++,-1});
					continue;
				}else if(get<5>(sr[klkr++])+get<5>(sl[klkl++])!=d-u-1) continue;

				#ifdef DEBUG
				cout<<u<<" "<<d<<" "<<l<<" "<<r<<"\n";
				#endif

				res++;
			}
			for(auto x:novi) ima[get<0>(x)][get<1>(x)]=get<2>(x);
			tren=novi;
		} tren.clear();
		// levi cosak
		for(int i=0;i<n;i++) for(int j=0;j<n;j++) ima[i][j]=-1;
		for(int j=m-2;j>=0;j--){
			vector<tuple<int,int,int> > novi;
			for(pii x:ver[j]){
				if(x.second-x.first==1) continue;
				if(ima[x.first][x.second]==-1) novi.push_back({x.first,x.second,j});
				else novi.push_back({x.first,x.second,ima[x.first][x.second]});
			}
			for(auto x:tren){
				ima[get<0>(x)][get<1>(x)]=-1;

				int u,d,r,l;
				u=get<0>(x); d=get<1>(x); l=j; r=get<2>(x)+1;
				if(ud[u+1][l]==-1) continue;
				if(ud[u+1][l]>r) continue;
				r=ud[u+1][l];

				if(prvi){
					sr.push_back({l,r,u+1,d-1,klkr++,-1});
					sl.push_back({r,l,u+1,d-1,klkl++,-1});
					continue;
				}else if(get<5>(sr[klkr++])+get<5>(sl[klkl++])!=d-u-1) continue;

				#ifdef DEBUG
				cout<<u<<" "<<d<<" "<<l<<" "<<r<<"\n";
				#endif

				res++;
			}
			for(auto x:novi) ima[get<0>(x)][get<1>(x)]=get<2>(x);
			tren=novi;
		} tren.clear();
		if(!prvi) break;
		sort(sl.begin(),sl.end(),comp2);
		sort(sr.begin(),sr.end(),comp2);
		prvi=false;
		int pcol=-1;
		int pvr=-1;
		vector<pair<int,int> > kolona;
		int tc=0;
		for(auto &x:sr){
			auto [col,vr,u,d,koji,res]=x;
			if(col!=pcol){
				kolona.clear();
				for(int i=0;i<maxn;i++) bit[i]=0;
				for(int i=0;i<n;i++) kolona.push_back(pii(ud[i][col],i));
				sort(kolona.begin(),kolona.end());
				pvr=-1;
				tc=0;
				pcol=col;
			}
			if(vr!=pvr){
				if(pvr!=-1){
					int sta=tc-1;
					while(sta>=0 && kolona[sta].first==pvr){
						add(kolona[sta].second,-1);
						sta--;
					}
				}
				while(tc<int(kolona.size()) && kolona[tc].first<=vr){
					if(kolona[tc].first==vr) add(kolona[tc].second,1);
					tc++;
				}
				pvr=vr;
			}
			get<5>(x)=query(u,d);
		}
		pcol=-1;
		pvr=-1;
		kolona.clear();
		tc=0;
		for(auto &x:sl){
			auto [col,vr,u,d,koji,res]=x;
			if(col!=pcol){
				kolona.clear();
				for(int i=0;i<maxn;i++) bit[i]=0;
				for(int i=0;i<n;i++) kolona.push_back(pii(ul[i][col],i));
				sort(kolona.begin(),kolona.end());
				pvr=-1;
				tc=0;
				pcol=col;
			}
			if(vr!=pvr){
				if(pvr!=-1){
					int sta=tc-1;
					while(sta>=0 && kolona[sta].first==pvr){
						add(kolona[sta].second,-1);
						sta--;
					}
				}
				while(tc<int(kolona.size()) && kolona[tc].first<=vr){
					if(kolona[tc].first==vr) add(kolona[tc].second,1);
					tc++;
				}
				pvr=vr;
			}
			get<5>(x)=query(u,d);
		}
		sort(sl.begin(),sl.end(),comp);
		sort(sr.begin(),sr.end(),comp);
	}
	return res;
}

• Subtask 1: 8 / 8
• Subtask 2: 7 / 7
• Subtask 3: 12 / 12
• Subtask 4: 22 / 22
• Subtask 5: 10 / 10
• Subtask 6: 13 / 13
• Subtask 7: 28 / 28