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>
using namespace std;
vector<vector<int>> Map, dp;
bool possible(int r1, int r2, int c1, int c2){
long long SumCorn = dp[r2][c2] - dp[r1][c2] - dp[r2][c1] + dp[r1][c1];
long long int cas = (r2-r1)*(c2-c1);
if(SumCorn < cas) return false;
long long other = dp[r2+1][c2+1];
if(r1 == 0 and c1 == 0){
other = other;
}
else if (r1 == 0){
other = other - dp[r2+1][c1-1];
}
else if(r2 == 0){
other = other - dp[r1-1][c2+1];
}
else{
other = other - dp[r1-1][c2+1] - dp[r2+1][c1-1] + dp[r1-1][c1-1];
}
if(other > SumCorn) return false;
return true;
}
long long count_rectangles(std::vector<std::vector<int> > a) {
Map = a;
dp = vector<vector<int>>(a.size(), vector<int>(a[0].size(), 0));
dp[0][0] = a[0][0];
for(int i = 1; i < a.size(); ++i) dp[i][0] = dp[i-1][0] + a[i][0];
for(int j = 1; j < a[0].size(); ++j) dp[0][j] = dp[0][j-1] + a[0][j];
for(int i = 1; i < a.size(); ++i){
for(int j = 1; j < a[0].size(); ++j){
dp[i][j] = dp[i-1][j] + dp[j][i-1] + a[i][j] - dp[i-1][j-1]; //exclusion-inclusion
}
}
long long ans = 0;
for(int r1 = 0; r1 < a.size()-1; ++r1){
for(int r2 = r1+1; r2 < a.size()-1; ++r2){
for(int c1 = 0; c1 < a[0].size()-1; ++c1){
for(int c2 = c1+1; c2 < a[0].size()-1; ++c2){
if(possible(r1, r2, c1, c2)) ans++;
}
}
}
}
return ans;
}
Compilation message (stderr)
rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:33:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
33 | for(int i = 1; i < a.size(); ++i) dp[i][0] = dp[i-1][0] + a[i][0];
| ~~^~~~~~~~~~
rect.cpp:34:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
34 | for(int j = 1; j < a[0].size(); ++j) dp[0][j] = dp[0][j-1] + a[0][j];
| ~~^~~~~~~~~~~~~
rect.cpp:35:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
35 | for(int i = 1; i < a.size(); ++i){
| ~~^~~~~~~~~~
rect.cpp:36:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
36 | for(int j = 1; j < a[0].size(); ++j){
| ~~^~~~~~~~~~~~~
rect.cpp:41:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
41 | for(int r1 = 0; r1 < a.size()-1; ++r1){
| ~~~^~~~~~~~~~~~
rect.cpp:42:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
42 | for(int r2 = r1+1; r2 < a.size()-1; ++r2){
| ~~~^~~~~~~~~~~~
rect.cpp:43:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
43 | for(int c1 = 0; c1 < a[0].size()-1; ++c1){
| ~~~^~~~~~~~~~~~~~~
rect.cpp:44:39: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
44 | for(int c2 = c1+1; c2 < a[0].size()-1; ++c2){
| ~~~^~~~~~~~~~~~~~~
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