oj.uz

Submission #1008607

# Submission time Handle Problem Language Result Execution time Memory
1008607 2024-06-26T15:35:49 Z PagodePaiva Rectangles (IOI19_rect) C++17
59 / 100
 5000 ms 546292 KB 
#include "rect.h"
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

using namespace std;

const int N = 2510;
const int inf = 1e8;
int v[N][N];
int p1[N][N];
int p2[N][N];
int p3[N][N];
int p4[N][N];

struct Segtree{
	int tree[4*N];
	int join(int a, int b){
		return min(a, b);
	}
	void build(int node, int l, int r){
		if(l == r){
			tree[node] = inf;
			return;
		}
		int mid = (l+r)/2;
		build(2*node, l, mid);
		build(2*node+1, mid+1, r);
		tree[node] = join(tree[2*node], tree[2*node+1]);
		return;
	}	
	void update(int node, int l, int r, int pos, int val){
		if(l == r){
			tree[node] = val;
			return;
		}
		int mid = (l+r)/2;
		if(l <= pos and pos <= mid) update(2*node, l, mid, pos, val);
		else update(2*node+1, mid+1, r, pos, val);
		tree[node] = join(tree[2*node], tree[2*node+1]);
		return;
	}
	int query(int node, int l, int r, int tl, int tr){
		if(l <= tl and tr <= r) return tree[node];
		if(l > tr or tl > r) return inf;
		int mid = (tl+tr)/2;
		return join(query(2*node, l, r, tl, mid), query(2*node+1, l, r, mid+1, tr));
	}
} seg1[N], seg3[N];

struct Segtree2{
	int tree[4*N];
	int join(int a, int b){
		return max(a, b);
	}
	void build(int node, int l, int r){
		if(l == r){
			tree[node] = -1;
			return;
		}
		int mid = (l+r)/2;
		build(2*node, l, mid);
		build(2*node+1, mid+1, r);
		tree[node] = join(tree[2*node], tree[2*node+1]);
		return;
	}	
	void update(int node, int l, int r, int pos, int val){
		if(l == r){
			tree[node] = val;
			return;
		}
		int mid = (l+r)/2;
		if(l <= pos and pos <= mid) update(2*node, l, mid, pos, val);
		else update(2*node+1, mid+1, r, pos, val);
		tree[node] = join(tree[2*node], tree[2*node+1]);
		return;
	}
	int query(int node, int l, int r, int tl, int tr){
		if(l <= tl and tr <= r) return tree[node];
		if(l > tr or tl > r) return -1;
		int mid = (tl+tr)/2;
		return join(query(2*node, l, r, tl, mid), query(2*node+1, l, r, mid+1, tr));
	}
} seg2[N], seg4[N];

set <array <int, 4>> s;
int n, m;

bool check(int r1, int c1, int r2, int c2){
	if(s.find({r1, c1, r2, c2}) != s.end()) return false;
	if(r1 == 0 or r2 == n+1 or r2-r1 <= 1) return false;
	if(c1 == 0 or c2 == m+1 or c2-c1 <= 1) return false;
	if(r1+1 > r2-1 or c1+1 > c2-1) return false;
	if(c1 <= 0 or c1 > m or c2 <= 0 or c2 > m or r1 <= 0 or r1 > n or r2 <= 0 or r2 > n) return false;
	int x1 = seg1[c1].query(1,r1+1, r2-1, 1, n);
	if(c1+1 <= x1 and x1 <= c2-1) return false;
	x1 = seg2[c2].query(1, r1+1, r2-1, 1, n);
	if(c1 < x1 and x1 < c2) return false;
	int x2 = seg3[r1].query(1, c1+1, c2-1, 1, m);
	if(r1 < x2 and x2 < r2) return false;
	x2 = seg4[r2].query(1, c1+1, c2-1, 1, m);
	if(r1 < x2 and x2 < r2) return false;
	s.insert({r1, c1, r2, c2});
	return true;
}
long long count_rectangles(std::vector<std::vector<int32_t> > a) {
	n = a.size(), m = a[0].size();
	s.clear();
	for(int i = 1;i <= n;i++){
		for(int j = 1;j <= m;j++){
			v[i][j] = a[i-1][j-1];
		}
	}
	for(int i = 1;i <= n;i++){
		stack <int> s;
		for(int j = 1;j <= m;j++){
			if(s.empty()) s.push(j);
			else{
				while(!s.empty()){
					int t = s.top();
					if(v[i][j] >= v[i][t]){
						p1[i][t] = j;
						s.pop();
					}
					else{
						break;
					}
				}
				s.push(j);
			}
		}
		while(!s.empty()){
			int t = s.top();
			p1[i][t] = m+1;
			s.pop();
		}
	}
	for(int i = 1;i <= n;i++){
		stack <int> s;
		for(int j = m;j > 0;j--){
			if(s.empty()) s.push(j);
			else{
				while(!s.empty()){
					int t = s.top();
					if(v[i][j] >= v[i][t]){
						p2[i][t] = j;
						s.pop();
					}
					else{
						break;
					}
				}
				s.push(j);
			}
		}
		while(!s.empty()){
			int t = s.top();
			p2[i][t] = 0;
			s.pop();
		}
	}
	for(int j = 1;j <= m;j++){
		stack <int> s;
		for(int i = 1;i <= n;i++){
			if(s.empty()) s.push(i);
			else{
				while(!s.empty()){
					int t = s.top();
					if(v[i][j] >= v[t][j]){
						p3[t][j] = i;
						s.pop();
					}
					else{
						break;
					}
				}
				s.push(i);
			}
		}
		while(!s.empty()){
			int t = s.top();
			p3[t][j] = n+1;
			s.pop();
		}
	}
	for(int j = 1;j <= m;j++){
		stack <int> s;
		for(int i = n;i > 0;i--){
			if(s.empty()) s.push(i);
			else{
				while(!s.empty()){
					int t = s.top();
					if(v[i][j] >= v[t][j]){
						p4[t][j] = i;
						s.pop();
					}
					else{
						break;
					}
				}
				s.push(i);
			}
		}
		while(!s.empty()){
			int t = s.top();
			p4[t][j] = 0;
			s.pop();
		}
	}
	for(int i = 1;i <= m;i++){
		seg1[i].build(1, 1, n);
		seg2[i].build(1, 1, n);
	}
	for(int i = 1;i <= n;i++){
		seg3[i].build(1, 1, m);
		seg4[i].build(1, 1, m);
	}
	for(int i = 1;i <= n;i++){
		for(int j = 1;j <= m;j++){
			seg1[j].update(1, 1, n, i, p1[i][j]);
			seg2[j].update(1, 1, n, i, p2[i][j]);
			seg3[i].update(1, 1, m, j, p3[i][j]);
			seg4[i].update(1, 1, m, j, p4[i][j]);
		}
	}
	for(int r1 = 1;r1 < n;r1++){
		for(int c1 = 1;c1 < m;c1++){
			int r2 = p3[r1][c1+1];
			int c2 = (1 <= r1+1 and r1+1 <= r2-1 and r2-1 <= n ? seg1[c1].query(1, r1+1, r2-1, 1, n) : -1);
			check(r1, c1, r2, c2);
			c2 = p1[r1+1][c1];
			r2 = (1 <= c1+1 and c1+1 <= c2-1 and c2-1 <= m ? seg3[r1].query(1, c1+1, c2-1, 1, m) : -1);
			check(r1, c1, r2, c2);
		}
	}
	for(int r1 = 1;r1 < n;r1++){
		for(int c2 = m;c2 > 1;c2--){
			int c1 = p2[r1+1][c2];
			int r2 = (1 <= c1+1 and c1+1 <= c2-1 and c2-1 <= m ? seg3[r1].query(1, c1+1, c2-1, 1, m) : -1);
			check(r1, c1, r2, c2);
			r2 = p3[r1][c2-1];
			c1 = (1 <= r1+1 and r1+1 <= r2-1 and r2-1 <= n ? seg2[c2].query(1, r1+1, r2-1, 1, n) : -1);
			check(r1, c1, r2, c2);
		}
	}
	for(int r2 = n;r2 > 1;r2--){
		for(int c1 = 1;c1 < m;c1++){
			int r1 = p4[r2][c1+1];
			int c2 = (1 <= r1+1 and r1+1 <= r2-1 and r2-1 <= n ? seg1[c1].query(1, r1+1, r2-1, 1, n) : -1);
			check(r1, c1, r2, c2);
			c2 = p1[r2-1][c1];
			r1 = (1 <= c1+1 and c1+1 <= c2-1 and c2-1 <= m ? seg4[r2].query(1, c1+1, c2-1, 1, m) : -1);
			check(r1, c1, r2, c2);
			/*
			int c2 = p1[r2-1][c1];
			int r1 = p4[r2][c1+1];
			check(r1, c1, r2, c2);
			*/
		}
	}
	for(int r2 = n;r2 > 1;r2--){
		for(int c2 = m;c2 > 1;c2--){
			int c1 = p2[r2-1][c2];
			int r1 = (1 <= c1+1 and c1+1 <= c2-1 and c2-1 <= m ? seg4[r2].query(1, c1+1, c2-1, 1, m) : -1);
			check(r1, c1, r2, c2);
			r1 = p4[r2][c2-1];
			c1 = (1 <= r1+1 and r1+1 <= r2-1 and r2-1 <= n ? seg2[c2].query(1, r1+1, r2-1, 1, n) : -1);
			check(r1, c1, r2, c2);
			/*
			int c1 = p2[r2-1][c2];
			int r1 = p4[r2][c2-1];
			check(r1, c1, r2, c2);
			*/
		}
	}
	return s.size();
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 2 ms 1624 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 2 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1368 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 1372 KB Output is correct
20 Correct 1 ms 1372 KB Output is correct
21 Correct 0 ms 604 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 2 ms 1624 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 2 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1368 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 1372 KB Output is correct
20 Correct 1 ms 1372 KB Output is correct
21 Correct 0 ms 604 KB Output is correct
22 Correct 7 ms 4188 KB Output is correct
23 Correct 7 ms 4188 KB Output is correct
24 Correct 8 ms 4184 KB Output is correct
25 Correct 5 ms 3676 KB Output is correct
26 Correct 6 ms 3932 KB Output is correct
27 Correct 7 ms 3964 KB Output is correct
28 Correct 6 ms 3932 KB Output is correct
29 Correct 3 ms 3164 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 2 ms 1624 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 2 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1368 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 4188 KB Output is correct
18 Correct 7 ms 4188 KB Output is correct
19 Correct 8 ms 4184 KB Output is correct
20 Correct 5 ms 3676 KB Output is correct
21 Correct 6 ms 3932 KB Output is correct
22 Correct 7 ms 3964 KB Output is correct
23 Correct 6 ms 3932 KB Output is correct
24 Correct 3 ms 3164 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 1372 KB Output is correct
28 Correct 1 ms 1372 KB Output is correct
29 Correct 0 ms 604 KB Output is correct
30 Correct 50 ms 12832 KB Output is correct
31 Correct 47 ms 12632 KB Output is correct
32 Correct 50 ms 12628 KB Output is correct
33 Correct 26 ms 10584 KB Output is correct
34 Correct 38 ms 11092 KB Output is correct
35 Correct 46 ms 11036 KB Output is correct
36 Correct 40 ms 11092 KB Output is correct
37 Correct 43 ms 11092 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 2 ms 1624 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 2 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1368 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 4188 KB Output is correct
18 Correct 7 ms 4188 KB Output is correct
19 Correct 8 ms 4184 KB Output is correct
20 Correct 5 ms 3676 KB Output is correct
21 Correct 6 ms 3932 KB Output is correct
22 Correct 7 ms 3964 KB Output is correct
23 Correct 6 ms 3932 KB Output is correct
24 Correct 3 ms 3164 KB Output is correct
25 Correct 50 ms 12832 KB Output is correct
26 Correct 47 ms 12632 KB Output is correct
27 Correct 50 ms 12628 KB Output is correct
28 Correct 26 ms 10584 KB Output is correct
29 Correct 38 ms 11092 KB Output is correct
30 Correct 46 ms 11036 KB Output is correct
31 Correct 40 ms 11092 KB Output is correct
32 Correct 43 ms 11092 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 1372 KB Output is correct
36 Correct 1 ms 1372 KB Output is correct
37 Correct 0 ms 604 KB Output is correct
38 Correct 258 ms 61700 KB Output is correct
39 Correct 265 ms 61676 KB Output is correct
40 Correct 263 ms 61524 KB Output is correct
41 Correct 223 ms 61612 KB Output is correct
42 Correct 861 ms 92248 KB Output is correct
43 Correct 892 ms 92016 KB Output is correct
44 Correct 872 ms 92068 KB Output is correct
45 Correct 834 ms 87096 KB Output is correct
46 Correct 451 ms 62924 KB Output is correct
47 Correct 508 ms 64596 KB Output is correct
48 Correct 738 ms 72044 KB Output is correct
49 Correct 764 ms 71924 KB Output is correct
50 Correct 340 ms 45988 KB Output is correct
51 Correct 336 ms 38904 KB Output is correct
52 Correct 707 ms 72024 KB Output is correct
53 Correct 719 ms 72020 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 21336 KB Output is correct
2 Correct 10 ms 18268 KB Output is correct
3 Correct 9 ms 21084 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 11 ms 21340 KB Output is correct
6 Correct 11 ms 21340 KB Output is correct
7 Correct 11 ms 21340 KB Output is correct
8 Correct 11 ms 21084 KB Output is correct
9 Correct 11 ms 21336 KB Output is correct
10 Correct 8 ms 20828 KB Output is correct
11 Correct 9 ms 21084 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 1372 KB Output is correct
4 Correct 1 ms 1372 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 1 ms 856 KB Output is correct
7 Correct 2947 ms 272544 KB Output is correct
8 Execution timed out 5077 ms 546292 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 2 ms 1624 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 2 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1368 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 0 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 7 ms 4188 KB Output is correct
18 Correct 7 ms 4188 KB Output is correct
19 Correct 8 ms 4184 KB Output is correct
20 Correct 5 ms 3676 KB Output is correct
21 Correct 6 ms 3932 KB Output is correct
22 Correct 7 ms 3964 KB Output is correct
23 Correct 6 ms 3932 KB Output is correct
24 Correct 3 ms 3164 KB Output is correct
25 Correct 50 ms 12832 KB Output is correct
26 Correct 47 ms 12632 KB Output is correct
27 Correct 50 ms 12628 KB Output is correct
28 Correct 26 ms 10584 KB Output is correct
29 Correct 38 ms 11092 KB Output is correct
30 Correct 46 ms 11036 KB Output is correct
31 Correct 40 ms 11092 KB Output is correct
32 Correct 43 ms 11092 KB Output is correct
33 Correct 258 ms 61700 KB Output is correct
34 Correct 265 ms 61676 KB Output is correct
35 Correct 263 ms 61524 KB Output is correct
36 Correct 223 ms 61612 KB Output is correct
37 Correct 861 ms 92248 KB Output is correct
38 Correct 892 ms 92016 KB Output is correct
39 Correct 872 ms 92068 KB Output is correct
40 Correct 834 ms 87096 KB Output is correct
41 Correct 451 ms 62924 KB Output is correct
42 Correct 508 ms 64596 KB Output is correct
43 Correct 738 ms 72044 KB Output is correct
44 Correct 764 ms 71924 KB Output is correct
45 Correct 340 ms 45988 KB Output is correct
46 Correct 336 ms 38904 KB Output is correct
47 Correct 707 ms 72024 KB Output is correct
48 Correct 719 ms 72020 KB Output is correct
49 Correct 11 ms 21336 KB Output is correct
50 Correct 10 ms 18268 KB Output is correct
51 Correct 9 ms 21084 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 11 ms 21340 KB Output is correct
54 Correct 11 ms 21340 KB Output is correct
55 Correct 11 ms 21340 KB Output is correct
56 Correct 11 ms 21084 KB Output is correct
57 Correct 11 ms 21336 KB Output is correct
58 Correct 8 ms 20828 KB Output is correct
59 Correct 9 ms 21084 KB Output is correct
60 Correct 1 ms 856 KB Output is correct
61 Correct 2947 ms 272544 KB Output is correct
62 Execution timed out 5077 ms 546292 KB Time limit exceeded
63 Halted 0 ms 0 KB -