oj.uz

Submission #1054468

# Submission time Handle Problem Language Result Execution time Memory
1054468 2024-08-12T10:07:43 Z mychecksedad Rectangles (IOI19_rect) C++17
50 / 100
 5000 ms 794620 KB 
#include "rect.h"
#include<bits/stdc++.h>
using namespace std;
// #define ll long long
#define pb push_back
#define ff first
#define all(x) x.begin(), x.end()
#define en cout << '\n'
#define ss second
#define int short 
const int N = 2600, K = 20;




long long count_rectangles(std::vector<std::vector<int32_t> > a) {
	int n = a.size();
	int m = a[0].size();
	if(n < 3 || m < 3){
		return 0;
	}

	long long ans = 0;	
	vector<vector<int>> L, R, D, U;
	L.resize(n, vector<int>(m));
	R.resize(n, vector<int>(m));
	D.resize(n, vector<int>(m));
	U.resize(n, vector<int>(m));

	for(int i = 0; i < n; ++i){
		vector<int> q;
		for(int j = 0; j < m; ++j){
			while(!q.empty() && a[i][q.back()] <= a[i][j]) q.pop_back();
			if(q.empty()){
				L[i][j] = -1;
			}else{
				L[i][j] = q.back();
			}
			q.pb(j);
		}
		q.clear();
		for(int j = m - 1; j >= 0; --j){
			while(!q.empty() && a[i][q.back()] <= a[i][j]) q.pop_back();
			if(q.empty()){
				R[i][j] = m;
			}else{
				R[i][j] = q.back();
			}
			q.pb(j);
		}
	}
	for(int j = 0; j < m; ++j){
		vector<int> q;
		for(int i = 0; i < n; ++i){
			while(!q.empty() && a[q.back()][j] <= a[i][j]) q.pop_back();
			if(q.empty()){
				U[i][j] = -1;
			}else{
				U[i][j] = q.back();
			}
			q.pb(i);
		}
		q.clear();
		for(int i = n - 1; i >= 0; --i){
			while(!q.empty() && a[q.back()][j] <= a[i][j]) q.pop_back();
			if(q.empty()){
				D[i][j] = n;
			}else{
				D[i][j] = q.back();
			}
			q.pb(i);
		}
	}

	vector<vector<vector<int>>> rangesL(n, vector<vector<int>>(m));
	vector<vector<vector<int>>> rangesU(n, vector<vector<int>>(m));

	for(int i = 1; i + 1 < n; ++i){
		for(int j = 1; j + 1 < m; ++j){
			int l = L[i][j], r = R[i][j];
			while(l > -1 && r < m){
				// cout << i << ' ' << j << ' ' << l + 1 << ' ' << r - 1 << '\n';
				rangesL[i][r - 1].pb(l + 1);
				if(a[i][l] < a[i][r]){
					l = L[i][l];
				}else if(a[i][l] > a[i][r]){
					r = R[i][r];
				}else{
					l = L[i][l];
					r = R[i][r];
				}
			}
		}
	}
	for(int j = 1; j + 1 < m; ++j){
		for(int i = 1; i + 1 < n; ++i){
			int l = U[i][j], r = D[i][j];
			while(l > -1 && r < n){
				// cout << l << ' ' << r << ' ' << i << ' ' << j << '\n';
				rangesU[r - 1][j].pb(l + 1);
				if(a[l][j] < a[r][j]){
					l = U[l][j];
				}else if(a[l][j] > a[r][j]){
					r = D[r][j];
				}else{
					l = U[l][j];
					r = D[r][j];
				}	
			}
		}
	}
// 	for(int i = 0; i < n; ++i){
// 		for(int j = 0; j < m; ++j) cout << L[i][j] << ' ';en;
// 	}

// en;en;
	
// 	for(int i = 0; i < n; ++i){
// 		for(int j = 0; j < m; ++j) cout << R[i][j] << ' ';en;
// 	}
// en;en;

// 	for(int i = 0; i < n; ++i){
// 		for(int j = 0; j < m; ++j) cout << U[i][j] << ' ';en;
// 	}
// en;en;

// 	for(int i = 0; i < n; ++i){
// 		for(int j = 0; j < m; ++j) cout << D[i][j] << ' ';en;
// 	}

	vector<vector<vector<int>>> colranges(max(n,m), vector<vector<int>>(max(n,m)));
	vector<vector<vector<int>>> rowranges(max(n,m), vector<vector<int>>(max(n,m)));
	// cout << "wtf" << endl;
	for(int i = 1; i + 1 < n; ++i){
		for(int j = 1; j + 1 < m; ++j){
			sort(all(rangesL[i][j]), greater<int>());
			rangesL[i][j].erase(unique(all(rangesL[i][j])), rangesL[i][j].end());
			sort(all(rangesU[i][j]), greater<int>());
			rangesU[i][j].erase(unique(all(rangesU[i][j])), rangesU[i][j].end());

			int ls = rangesL[i][j].size();
			int us = rangesU[i][j].size();
			// cout << i << ' ' << j << '\n';
			// cout << "L: ";
			for(int x = 0; x < ls; ++x){
				colranges[j][rangesL[i][j][x]].pb(i);
				// cout << rangesL[i][j][x] << ' '; 
			}
			// cout << "R: ";
			for(int x = 0; x < us; ++x){
				rowranges[i][rangesU[i][j][x]].pb(j);
				// cout << rangesU[i][j][x] << ' ';
			}
			// en;en;
			for(int y = 0; y < us; ++y){
			for(int x = 0; x < ls; ++x){
				int l = rangesL[i][j][x];
				
					int u = rangesU[i][j][y];
					// cout << i << ' ' << j << ' ' << u << ' ' << l << '\n';
					// cout << (rowranges[i][u].size() >= j - l + 1 && rowranges[i][u][int(rowranges[i][u].size()) - (j - l + 1)] == l) << ' ' <<
					// (colranges[j][l].size() >= i - u + 1 && colranges[j][l][int(colranges[j][l].size()) - (i - u + 1)] == u) << '\n';
					if(rowranges[i][u].size() >= j - l + 1 && rowranges[i][u][int(rowranges[i][u].size()) - (j - l + 1)] == l
						&& colranges[j][l].size() >= i - u + 1 && colranges[j][l][int(colranges[j][l].size()) - (i - u + 1)] == u){
						++ans;
					}
					if(!(rowranges[i][u].size() >= j - l + 1 && rowranges[i][u][int(rowranges[i][u].size()) - (j - l + 1)] == l)) break;
				}
			}
		}
	}


	return ans;
}

Compilation message

rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:164:32: warning: comparison of integer expressions of different signedness: 'std::vector<short int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  164 |      if(rowranges[i][u].size() >= j - l + 1 && rowranges[i][u][int(rowranges[i][u].size()) - (j - l + 1)] == l
      |         ~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
rect.cpp:165:33: warning: comparison of integer expressions of different signedness: 'std::vector<short int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  165 |       && colranges[j][l].size() >= i - u + 1 && colranges[j][l][int(colranges[j][l].size()) - (i - u + 1)] == u){
      |          ~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
rect.cpp:168:34: warning: comparison of integer expressions of different signedness: 'std::vector<short int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  168 |      if(!(rowranges[i][u].size() >= j - l + 1 && rowranges[i][u][int(rowranges[i][u].size()) - (j - l + 1)] == l)) break;
      |           ~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 7 ms 2396 KB Output is correct
23 Correct 7 ms 2396 KB Output is correct
24 Correct 11 ms 2396 KB Output is correct
25 Correct 1 ms 1116 KB Output is correct
26 Correct 3 ms 1372 KB Output is correct
27 Correct 3 ms 1368 KB Output is correct
28 Correct 3 ms 1372 KB Output is correct
29 Correct 1 ms 860 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 2396 KB Output is correct
18 Correct 7 ms 2396 KB Output is correct
19 Correct 11 ms 2396 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 3 ms 1372 KB Output is correct
22 Correct 3 ms 1368 KB Output is correct
23 Correct 3 ms 1372 KB Output is correct
24 Correct 1 ms 860 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 191 ms 21860 KB Output is correct
31 Correct 202 ms 21800 KB Output is correct
32 Correct 191 ms 21844 KB Output is correct
33 Correct 8 ms 5720 KB Output is correct
34 Correct 20 ms 7256 KB Output is correct
35 Correct 19 ms 7260 KB Output is correct
36 Correct 18 ms 7000 KB Output is correct
37 Correct 17 ms 7052 KB Output is correct

Subtask #4
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 2396 KB Output is correct
18 Correct 7 ms 2396 KB Output is correct
19 Correct 11 ms 2396 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 3 ms 1372 KB Output is correct
22 Correct 3 ms 1368 KB Output is correct
23 Correct 3 ms 1372 KB Output is correct
24 Correct 1 ms 860 KB Output is correct
25 Correct 191 ms 21860 KB Output is correct
26 Correct 202 ms 21800 KB Output is correct
27 Correct 191 ms 21844 KB Output is correct
28 Correct 8 ms 5720 KB Output is correct
29 Correct 20 ms 7256 KB Output is correct
30 Correct 19 ms 7260 KB Output is correct
31 Correct 18 ms 7000 KB Output is correct
32 Correct 17 ms 7052 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 3132 ms 295916 KB Output is correct
39 Correct 2248 ms 349012 KB Output is correct
40 Correct 2386 ms 349036 KB Output is correct
41 Correct 1495 ms 401404 KB Output is correct
42 Execution timed out 5058 ms 727260 KB Time limit exceeded
43 Halted 0 ms 0 KB -

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 195 ms 302324 KB Output is correct
2 Correct 140 ms 218844 KB Output is correct
3 Correct 101 ms 294480 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 105 ms 294720 KB Output is correct
6 Correct 104 ms 294740 KB Output is correct
7 Correct 104 ms 294740 KB Output is correct
8 Correct 103 ms 294580 KB Output is correct
9 Correct 104 ms 294740 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 557 ms 483276 KB Output is correct
8 Correct 1128 ms 792216 KB Output is correct
9 Correct 1154 ms 794516 KB Output is correct
10 Correct 1163 ms 794620 KB Output is correct
11 Correct 270 ms 487504 KB Output is correct
12 Correct 439 ms 661928 KB Output is correct
13 Correct 474 ms 686416 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 2396 KB Output is correct
18 Correct 7 ms 2396 KB Output is correct
19 Correct 11 ms 2396 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 3 ms 1372 KB Output is correct
22 Correct 3 ms 1368 KB Output is correct
23 Correct 3 ms 1372 KB Output is correct
24 Correct 1 ms 860 KB Output is correct
25 Correct 191 ms 21860 KB Output is correct
26 Correct 202 ms 21800 KB Output is correct
27 Correct 191 ms 21844 KB Output is correct
28 Correct 8 ms 5720 KB Output is correct
29 Correct 20 ms 7256 KB Output is correct
30 Correct 19 ms 7260 KB Output is correct
31 Correct 18 ms 7000 KB Output is correct
32 Correct 17 ms 7052 KB Output is correct
33 Correct 3132 ms 295916 KB Output is correct
34 Correct 2248 ms 349012 KB Output is correct
35 Correct 2386 ms 349036 KB Output is correct
36 Correct 1495 ms 401404 KB Output is correct
37 Execution timed out 5058 ms 727260 KB Time limit exceeded
38 Halted 0 ms 0 KB -