Submission #146955

#TimeUsernameProblemLanguageResultExecution timeMemory
146955nikolapesic2802Rectangles (IOI19_rect)C++14
0 / 100
279 ms196948 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #include <ext/rope> #define ll long long #define pb push_back #define sz(x) (int)(x).size() #define mp make_pair #define f first #define s second #define all(x) x.begin(), x.end() #define D(x) cerr << #x << " is " << (x) << "\n"; using namespace std; using namespace __gnu_pbds; using namespace __gnu_cxx; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>; ///find_by_order(),order_of_key() template<class T1, class T2> ostream& operator<<(ostream& os, const pair<T1,T2>& a) { os << '{' << a.f << ", " << a.s << '}'; return os; } template<class T> ostream& operator<<(ostream& os, const vector<T>& a){os << '{';for(int i=0;i<sz(a);i++){if(i>0&&i<sz(a))os << ", ";os << a[i];}os<<'}';return os;} template<class T> ostream& operator<<(ostream& os, const set<T>& a) {os << '{';int i=0;for(auto p:a){if(i>0&&i<sz(a))os << ", ";os << p;i++;}os << '}';return os;} template<class T> ostream& operator<<(ostream& os, const multiset<T>& a) {os << '{';int i=0;for(auto p:a){if(i>0&&i<sz(a))os << ", ";os << p;i++;}os << '}';return os;} template<class T1,class T2> ostream& operator<<(ostream& os, const map<T1,T2>& a) {os << '{';int i=0;for(auto p:a){if(i>0&&i<sz(a))os << ", ";os << p;i++;}os << '}';return os;} const int N=2501; vector<int> in; struct segTree{ vector<int> mi; void init(int l=0,int r=N-1,int i=1) { if(i==1) mi.resize(4*N); if(l==r) { mi[i]=in[l]; return; } int m=(l+r)>>1; init(l,m,2*i); init(m+1,r,2*i+1); mi[i]=min(mi[2*i],mi[2*i+1]); } int get(int qs,int qe,int l=0,int r=N-1,int i=1) { if(qs>r||qe<l) return INT_MAX; if(qs<=l&&qe>=r) return mi[i]; int m=(l+r)>>1; return min(get(qs,qe,l,m,2*i),get(qs,qe,m+1,r,2*i+1)); } }r1[N],r2[N],c1[N],c2[N]; int l[N][N],r[N][N],d[N][N],u[N][N]; ll count_rectangles(vector<vector<int> > a) { int n=a.size(),m=a[0].size(),sol=0; vector<pair<int,int> > stk; for(int i=0;i<n;i++) { stk={{INT_MAX,-1}}; for(int j=0;j<m;j++) { while(stk.back().f<a[i][j]) stk.pop_back(); l[i][j]=j-stk.back().s-1; stk.pb({a[i][j],j}); } stk={{INT_MAX,m}}; for(int j=m-1;j>=0;j--) { while(stk.back().f<a[i][j]) stk.pop_back(); r[i][j]=stk.back().s-j-1; stk.pb({a[i][j],j}); } } for(int j=0;j<m;j++) { stk={{INT_MAX,-1}}; for(int i=0;i<n;i++) { while(stk.back().f<a[i][j]) stk.pop_back(); u[i][j]=i-stk.back().s-1; stk.pb({a[i][j],j}); } stk={{INT_MAX,m}}; for(int i=n-1;i>=0;i--) { while(stk.back().f<a[i][j]) stk.pop_back(); d[i][j]=stk.back().s-i-1; stk.pb({a[i][j],j}); } } /*for(int i=0;i<n;i++){ for(int j=0;j<m;j++) printf("%i ",l[i][j]); printf("\n"); }*/ for(int j=0;j<m;j++) { in.clear(); for(int i=0;i<n;i++) in.pb(l[i][j]); c1[j].init(); } for(int j=0;j<m;j++) { in.clear(); for(int i=0;i<n;i++) in.pb(r[i][j]); c2[j].init(); } for(int i=0;i<n;i++) { in.clear(); for(int j=0;j<m;j++) in.pb(u[i][j]); r1[i].init(); } for(int i=0;i<n;i++) { in.clear(); for(int j=0;j<m;j++) in.pb(d[i][j]); r2[i].init(); } for(int i=0;i<n;i++) { stk={{INT_MAX,-1}}; for(int j=0;j<m;j++) { while(stk.back().f<=a[i][j]) stk.pop_back(); l[i][j]=stk.back().s+1; stk.pb({a[i][j],j}); } stk={{INT_MAX,m}}; for(int j=m-1;j>=0;j--) { while(stk.back().f<=a[i][j]) stk.pop_back(); r[i][j]=stk.back().s-1; stk.pb({a[i][j],j}); } } for(int j=0;j<m;j++) { stk={{INT_MAX,-1}}; for(int i=0;i<n;i++) { while(stk.back().f<=a[i][j]) stk.pop_back(); u[i][j]=stk.back().s+1; stk.pb({a[i][j],j}); } stk={{INT_MAX,m}}; for(int i=n-1;i>=0;i--) { while(stk.back().f<=a[i][j]) stk.pop_back(); d[i][j]=stk.back().s-1; stk.pb({a[i][j],j}); } } for(int i=1;i<n-1;i++) for(int j=1;j<m-1;j++) sol+=r[i][j]<n-1&&l[i][j]>0&&u[i][j]>0&&d[i][j]<m-1&&c1[r[i][j]+1].get(u[i][j],d[i][j])>r[i][j]-l[i][j]&&c2[l[i][j]-1].get(u[i][j],d[i][j])>r[i][j]-l[i][j]&&r1[d[i][j]+1].get(l[i][j],r[i][j])>d[i][j]-u[i][j]&&r2[u[i][j]-1].get(l[i][j],r[i][j])>d[i][j]-u[i][j]; return sol; } /*int main() { freopen("in.txt","r",stdin); int n,m; scanf("%i %i",&n,&m); vector<vector<int> > mat(n,vector<int>(m)); for(int i=0;i<n;i++) for(int j=0;j<m;j++) scanf("%i",&mat[i][j]); printf("%lld\n",count_rectangles(mat)); }*/
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