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;
#define sp " "
#define endl "\n"
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define fileio() freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout)
#define fastio() cin.tie(0), ios_base::sync_with_stdio(0)
#define LL node * 2
#define RR node * 2 + 1
#define ll long long
#define MAXN 2505
#define LOGN 12
vector<pii> rng_h[MAXN], rng_v[MAXN];
vector<int> hor[MAXN][MAXN], ver[MAXN][MAXN];
void compute(vector<vector<int>> &a, int t){
int n = a.size(), m = a.front().size();
if (t == 1) swap(n, m);
for (int i = 1; i < n - 1; i++){
set<int> s;
vector<int> v(m);
iota(v.begin(), v.end(), 0);
sort(v.begin(), v.end(), [&](int x, int y){
if (t == 0){
if (a[i][x] == a[i][y]) return x < y;
return a[i][x] > a[i][y];
}
else{
if (a[x][i] == a[y][i]) return x < y;
return a[x][i] > a[y][i];
}
});
int it = 0;
while(it < m){
vector<int> tmp;
int last = 0;
if (t) last = a[v[it]][i];
else last = a[i][v[it]];
while(it < m){
if (t == 0 && a[i][v[it]] != last) break;
else if (t == 1 && a[v[it]][i] != last) break;
tmp.pb(v[it]);
it++;
}
for (int j = 0; j < tmp.size(); j++){
int x = tmp[j];
auto it2 = s.lower_bound(x);
int prv = -1, nxt = m + 1;
if (j > 0) prv = tmp[j - 1];
if (j + 1 < tmp.size()) nxt = tmp[j + 1];
if (it2 != s.begin() && !s.empty()){
it2--;
if (x - 1 > *it2) {
if (t == 0) rng_h[i].pb({*it2 + 1, x - 1});
else rng_v[i].pb({*it2 + 1, x - 1});
}
}
it2 = s.lower_bound(x);
if (it2 != s.end()){
if (*it2 > x + 1 && *it2 < nxt) {
if (t == 0) rng_h[i].pb({x + 1, *it2 - 1});
else rng_v[i].pb({x + 1, *it2 - 1});
}
}
s.insert(x);
}
}
}
}
int b_search(vector<int> &v, int pos){
int ans = pos;
for (int i = LOGN; i >= 0; i--){
int tmp = ans + (1<<i);
if (tmp >= v.size()) continue;
if (v[tmp] - v[pos] == tmp - pos) ans = tmp;
}
return ans;
}
long long count_rectangles(vector<vector<int>> a){
compute(a, 0);
compute(a, 1);
int n = a.size(), m = a.front().size();
for (int i = 1; i < n - 1; i++){
sort(rng_h[i].begin(), rng_h[i].end());
//cout<<i<<": ";
for (auto j : rng_h[i]){
//cout<<"( "<<j.st<<sp<<j.nd<<") ";
hor[j.st][j.nd].pb(i);
}
//cout<<endl;
}
for (int i = 1; i < m - 1; i++){
sort(rng_v[i].begin(), rng_v[i].end());
//cout<<i<<": ";
for (auto j : rng_v[i]){
ver[j.st][j.nd].pb(i);
//cout<<"( "<<j.st<<sp<<j.nd<<") ";
}
//cout<<endl;
}
long long ans = 0;
for (int i = 1; i < m - 1; i++){
for (int j = i; j < m - 1; j++){
for (int k = 0; k < hor[i][j].size(); k++){
int to = hor[i][j][b_search(hor[i][j], k)];
int curr = hor[i][j][k];
int pos = lower_bound(rng_v[i].begin(), rng_v[i].end(), make_pair(curr, 0)) - rng_v[i].begin();
while(pos < rng_v[i].size() && rng_v[i][pos].st == curr){
int l = rng_v[i][pos].st, r = rng_v[i][pos].nd;
int tmp = lower_bound(ver[l][r].begin(), ver[l][r].end(), i) - ver[l][r].begin();
int to2 = ver[l][r][b_search(ver[l][r], tmp)];
if (to2 >= j && to >= r) ans++;
else break;
pos++;
}
}
}
}
return ans;
return 0;
}
/*
int main() {
fileio();
int n, m;
cin>>n>>m;
vector<vector<int>> a(n, vector<int>(m));
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
cin>>a[i][j];
}
}
long long result = count_rectangles(a);
printf("%lld\n", result);
return 0;
}*/
Compilation message (stderr)
rect.cpp: In function 'void compute(std::vector<std::vector<int> >&, int)':
rect.cpp:53:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
53 | for (int j = 0; j < tmp.size(); j++){
| ~~^~~~~~~~~~~~
rect.cpp:58:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
58 | if (j + 1 < tmp.size()) nxt = tmp[j + 1];
| ~~~~~~^~~~~~~~~~~~
rect.cpp:56:9: warning: variable 'prv' set but not used [-Wunused-but-set-variable]
56 | int prv = -1, nxt = m + 1;
| ^~~
rect.cpp: In function 'int b_search(std::vector<int>&, int)':
rect.cpp:89:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
89 | if (tmp >= v.size()) continue;
| ~~~~^~~~~~~~~~~
rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:125:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
125 | for (int k = 0; k < hor[i][j].size(); k++){
| ~~^~~~~~~~~~~~~~~~~~
rect.cpp:129:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
129 | while(pos < rng_v[i].size() && rng_v[i][pos].st == curr){
| ~~~~^~~~~~~~~~~~~~~~~
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