This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "rect.h"
#include <bits/stdc++.h>
#define fr first
#define sc second
#define all(s) s.begin(), s.end()
using namespace std;
const int nmax = 500;
int n, m, aib[nmax];
int ans;
vector<pair<int, int>>LE[nmax][nmax], UP[nmax][nmax];
void update(int pos, int val){
for(int i=pos;i<nmax;i+=i&-i){
aib[pos] += val;
}
}
long long query(int pos){
long long rs = 0;
for(int i=pos;i>=1;i-=i&-i){
rs += aib[i];
}
return rs;
}
struct event{
int latime, inaltime, tip;
friend bool operator < (event A, event B){
if(A.latime != B.latime){
return A.latime < B.latime;
}
else{
return A.tip < B.tip;
}
}
};
vector <event> O_o;
long long count_rectangles(vector<vector<int> > a) {
n = a.size();
m = a[0].size();
for(int i=0;i<m;i++){
vector<pair<int,int>> st;
for(int j=0;j<n;j++){
for(int t=st.size()-2;t>=0;t--){
if(st[t].fr > st[t+1].fr && a[j][i] > st[t+1].fr){
UP[j - 1][i].push_back({st[t].sc + 1, 1});
st.pop_back();
}
else{
break;
}
}
reverse(all(UP[j - 1][i]));
st.push_back({a[j][i], j});
}
}
for(int i=0;i<n;i++){
vector <pair<int,int>> st;
for(int j=0;j<m;j++){
for(int t=st.size()-2;t>=0;t--){
if(st[t].fr > st[t+1].fr && a[i][j] > st[t+1].fr){
LE[i][j - 1].push_back({st[t].sc + 1, 1});
st.pop_back();
}
else{
break;
}
}
reverse(all(LE[i][j - 1]));
st.push_back({a[i][j], j});
}
}
for(int i=0;i<n;i++){
for(int j=0;j<m;j++){
if(i > 0){
for(auto &it : LE[i][j]){
auto it1 = lower_bound(all(LE[i-1][j]), it) - LE[i-1][j].begin();
if(it1 < LE[i-1][j].size() && LE[i-1][j][it1].fr == it.fr){
it.sc = LE[i-1][j][it1].sc + 1;
}
}
}
if(j > 0){
for(auto &it : UP[i][j]){
auto it1 = lower_bound(all(UP[i][j-1]), it) - UP[i][j-1].begin();
if(it1 < UP[i][j-1].size() && UP[i][j-1][it1].fr == it.fr){
it.sc = UP[i][j-1][it1].sc + 1;
}
}
}
}
}
for(int i=0;i<n;i++){
for(int j=0;j<m;j++){
O_o.clear();
for(auto it : LE[i][j]){
O_o.push_back({j - it.fr + 1, it.sc, 1});
}
for(auto it : UP[i][j]){
O_o.push_back({it.sc, i - it.fr + 1, 2});
}
sort(all(O_o));
for(auto it : O_o){
if(it.tip == 1){
update(nmax - it.inaltime, 1);
}
else{
ans += query(nmax - it.inaltime);
}
}
for(auto it : O_o){
if(it.tip == 1){
update(nmax - it.inaltime, -1);
}
}
}
}
return ans;
}
/**
6 5
4 8 7 5 6
7 4 10 3 5
9 7 20 14 2
9 14 7 3 6
5 7 5 2 7
4 5 13 5 6
*/
Compilation message (stderr)
rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:82:28: warning: comparison of integer expressions of different signedness: 'long int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
82 | if(it1 < LE[i-1][j].size() && LE[i-1][j][it1].fr == it.fr){
| ~~~~^~~~~~~~~~~~~~~~~~~
rect.cpp:90:28: warning: comparison of integer expressions of different signedness: 'long int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
90 | if(it1 < UP[i][j-1].size() && UP[i][j-1][it1].fr == it.fr){
| ~~~~^~~~~~~~~~~~~~~~~~~
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