Submission #423475

#TimeUsernameProblemLanguageResultExecution timeMemory
423475JasiekstrzRectangles (IOI19_rect)C++17
100 / 100
3164 ms738564 KiB
#include<bits/stdc++.h> #include<ext/pb_ds/assoc_container.hpp> #include<ext/pb_ds/tree_policy.hpp> #include "rect.h" #define fi first #define se second using namespace std; using namespace __gnu_pbds; const int N=25e2; vector<int> st; vector<pair<int,int>> r[N+10][N+10]; vector<pair<int,int>> u[N+10][N+10]; tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> os; long long count_rectangles(vector<vector<int>> a) { int n=a.size(),m=a[0].size(); long long ans=0; for(int i=1;i<n-1;i++) { st.clear(); for(int j=0;j<m;j++) { while(!st.empty() && a[i][st.back()]<a[i][j]) { if(st.back()+1<=j-1) r[i][st.back()+1].emplace_back(j-1,1); st.pop_back(); } if(!st.empty() && st.back()+1<=j-1) r[i][st.back()+1].emplace_back(j-1,1); while(!st.empty() && a[i][st.back()]==a[i][j]) st.pop_back(); st.push_back(j); } } for(int j=1;j<m-1;j++) { st.clear(); for(int i=0;i<n;i++) { while(!st.empty() && a[st.back()][j]<a[i][j]) { if(st.back()+1<=i-1) u[st.back()+1][j].emplace_back(i-1,1); st.pop_back(); } if(!st.empty() && st.back()+1<=i-1) u[st.back()+1][j].emplace_back(i-1,1); while(!st.empty() && a[st.back()][j]==a[i][j]) st.pop_back(); st.push_back(i); } } for(int i=n-2;i>=1;i--) { for(int j=0;j<m;j++) { size_t it=0; for(auto &v:r[i][j]) { while(it<r[i+1][j].size() && r[i+1][j][it].fi<v.fi) it++; if(it<r[i+1][j].size() && r[i+1][j][it].fi==v.fi) v.se=r[i+1][j][it].se+1; //cerr<<"r["<<i<<"]["<<j<<"]: ("<<v.fi<<","<<v.se<<")\n"; } } } for(int j=m-2;j>=1;j--) { for(int i=0;i<n;i++) { size_t it=0; for(auto &v:u[i][j]) { while(it<u[i][j+1].size() && u[i][j+1][it].fi<v.fi) it++; if(it<u[i][j+1].size() && u[i][j+1][it].fi==v.fi) v.se=u[i][j+1][it].se+1; //cerr<<"u["<<i<<"]["<<j<<"]: ("<<v.fi<<","<<v.se<<")\n"; } } } for(int i=1;i<n-1;i++) { for(int j=1;j<m-1;j++) { for(auto &v:r[i][j]) v.fi-=j-1; for(auto &v:u[i][j]) v.fi-=i-1; } } for(int i=1;i<n-1;i++) { for(int j=1;j<m-1;j++) { os.clear(); sort(u[i][j].begin(),u[i][j].end(), [](pair<int,int> &a,pair<int,int> &b){ return a.se<b.se; }); for(int it1=(int)r[i][j].size()-1,it2=(int)u[i][j].size()-1;it1>=0;it1--) { while(it2>=0 && u[i][j][it2].se>=r[i][j][it1].fi) { os.insert(u[i][j][it2].fi); it2--; } ans+=os.order_of_key(r[i][j][it1].se+1); } //cerr<<i<<" "<<j<<" "<<ans<<"\n"; } } return ans; }
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