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답안 #1008608

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1008608 2024-06-26T15:37:34 Z PagodePaiva Rectangles (IOI19_rect) C++17
72 / 100
 5000 ms 840532 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(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;
	if(s.find({r1, c1, r2, c2}) != s.end()) 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 1628 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 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 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 0 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 0 ms 348 KB Output is correct
19 Correct 1 ms 1372 KB Output is correct
20 Correct 1 ms 1368 KB Output is correct
21 Correct 1 ms 600 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 1628 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 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 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 0 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 0 ms 348 KB Output is correct
19 Correct 1 ms 1372 KB Output is correct
20 Correct 1 ms 1368 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 6 ms 4184 KB Output is correct
23 Correct 5 ms 4188 KB Output is correct
24 Correct 5 ms 4116 KB Output is correct
25 Correct 5 ms 3676 KB Output is correct
26 Correct 5 ms 3908 KB Output is correct
27 Correct 5 ms 3932 KB Output is correct
28 Correct 5 ms 3932 KB Output is correct
29 Correct 3 ms 3164 KB Output is correct

Subtask #3
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 1628 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 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 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 0 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 6 ms 4184 KB Output is correct
18 Correct 5 ms 4188 KB Output is correct
19 Correct 5 ms 4116 KB Output is correct
20 Correct 5 ms 3676 KB Output is correct
21 Correct 5 ms 3908 KB Output is correct
22 Correct 5 ms 3932 KB Output is correct
23 Correct 5 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 0 ms 348 KB Output is correct
27 Correct 1 ms 1372 KB Output is correct
28 Correct 1 ms 1368 KB Output is correct
29 Correct 1 ms 600 KB Output is correct
30 Correct 38 ms 12624 KB Output is correct
31 Correct 38 ms 12624 KB Output is correct
32 Correct 36 ms 12624 KB Output is correct
33 Correct 21 ms 10584 KB Output is correct
34 Correct 32 ms 11180 KB Output is correct
35 Correct 32 ms 11100 KB Output is correct
36 Correct 30 ms 11080 KB Output is correct
37 Correct 30 ms 11092 KB Output is correct

Subtask #4
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 1628 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 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 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 0 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 6 ms 4184 KB Output is correct
18 Correct 5 ms 4188 KB Output is correct
19 Correct 5 ms 4116 KB Output is correct
20 Correct 5 ms 3676 KB Output is correct
21 Correct 5 ms 3908 KB Output is correct
22 Correct 5 ms 3932 KB Output is correct
23 Correct 5 ms 3932 KB Output is correct
24 Correct 3 ms 3164 KB Output is correct
25 Correct 38 ms 12624 KB Output is correct
26 Correct 38 ms 12624 KB Output is correct
27 Correct 36 ms 12624 KB Output is correct
28 Correct 21 ms 10584 KB Output is correct
29 Correct 32 ms 11180 KB Output is correct
30 Correct 32 ms 11100 KB Output is correct
31 Correct 30 ms 11080 KB Output is correct
32 Correct 30 ms 11092 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 1 ms 1372 KB Output is correct
36 Correct 1 ms 1368 KB Output is correct
37 Correct 1 ms 600 KB Output is correct
38 Correct 210 ms 61520 KB Output is correct
39 Correct 195 ms 61696 KB Output is correct
40 Correct 206 ms 61532 KB Output is correct
41 Correct 206 ms 61688 KB Output is correct
42 Correct 519 ms 92180 KB Output is correct
43 Correct 534 ms 91988 KB Output is correct
44 Correct 572 ms 91984 KB Output is correct
45 Correct 576 ms 87520 KB Output is correct
46 Correct 249 ms 62804 KB Output is correct
47 Correct 310 ms 64608 KB Output is correct
48 Correct 503 ms 71928 KB Output is correct
49 Correct 539 ms 72068 KB Output is correct
50 Correct 212 ms 46088 KB Output is correct
51 Correct 225 ms 39004 KB Output is correct
52 Correct 474 ms 71924 KB Output is correct
53 Correct 538 ms 71848 KB Output is correct

Subtask #5
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 21340 KB Output is correct
2 Correct 9 ms 18268 KB Output is correct
3 Correct 8 ms 21300 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 10 ms 21352 KB Output is correct
6 Correct 12 ms 21340 KB Output is correct
7 Correct 10 ms 21144 KB Output is correct
8 Correct 10 ms 21096 KB Output is correct
9 Correct 10 ms 21084 KB Output is correct
10 Correct 10 ms 20828 KB Output is correct
11 Correct 9 ms 21032 KB Output is correct

Subtask #6
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 1372 KB Output is correct
4 Correct 1 ms 1368 KB Output is correct
5 Correct 1 ms 600 KB Output is correct
6 Correct 1 ms 600 KB Output is correct
7 Correct 1769 ms 272596 KB Output is correct
8 Correct 3999 ms 546384 KB Output is correct
9 Correct 4035 ms 560256 KB Output is correct
10 Correct 4009 ms 560324 KB Output is correct
11 Correct 783 ms 280356 KB Output is correct
12 Correct 1600 ms 529488 KB Output is correct
13 Correct 1531 ms 544520 KB Output is correct

Subtask #7
0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 1628 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 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 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 0 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 6 ms 4184 KB Output is correct
18 Correct 5 ms 4188 KB Output is correct
19 Correct 5 ms 4116 KB Output is correct
20 Correct 5 ms 3676 KB Output is correct
21 Correct 5 ms 3908 KB Output is correct
22 Correct 5 ms 3932 KB Output is correct
23 Correct 5 ms 3932 KB Output is correct
24 Correct 3 ms 3164 KB Output is correct
25 Correct 38 ms 12624 KB Output is correct
26 Correct 38 ms 12624 KB Output is correct
27 Correct 36 ms 12624 KB Output is correct
28 Correct 21 ms 10584 KB Output is correct
29 Correct 32 ms 11180 KB Output is correct
30 Correct 32 ms 11100 KB Output is correct
31 Correct 30 ms 11080 KB Output is correct
32 Correct 30 ms 11092 KB Output is correct
33 Correct 210 ms 61520 KB Output is correct
34 Correct 195 ms 61696 KB Output is correct
35 Correct 206 ms 61532 KB Output is correct
36 Correct 206 ms 61688 KB Output is correct
37 Correct 519 ms 92180 KB Output is correct
38 Correct 534 ms 91988 KB Output is correct
39 Correct 572 ms 91984 KB Output is correct
40 Correct 576 ms 87520 KB Output is correct
41 Correct 249 ms 62804 KB Output is correct
42 Correct 310 ms 64608 KB Output is correct
43 Correct 503 ms 71928 KB Output is correct
44 Correct 539 ms 72068 KB Output is correct
45 Correct 212 ms 46088 KB Output is correct
46 Correct 225 ms 39004 KB Output is correct
47 Correct 474 ms 71924 KB Output is correct
48 Correct 538 ms 71848 KB Output is correct
49 Correct 11 ms 21340 KB Output is correct
50 Correct 9 ms 18268 KB Output is correct
51 Correct 8 ms 21300 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 10 ms 21352 KB Output is correct
54 Correct 12 ms 21340 KB Output is correct
55 Correct 10 ms 21144 KB Output is correct
56 Correct 10 ms 21096 KB Output is correct
57 Correct 10 ms 21084 KB Output is correct
58 Correct 10 ms 20828 KB Output is correct
59 Correct 9 ms 21032 KB Output is correct
60 Correct 1 ms 600 KB Output is correct
61 Correct 1769 ms 272596 KB Output is correct
62 Correct 3999 ms 546384 KB Output is correct
63 Correct 4035 ms 560256 KB Output is correct
64 Correct 4009 ms 560324 KB Output is correct
65 Correct 783 ms 280356 KB Output is correct
66 Correct 1600 ms 529488 KB Output is correct
67 Correct 1531 ms 544520 KB Output is correct
68 Correct 0 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 1 ms 1372 KB Output is correct
71 Correct 1 ms 1368 KB Output is correct
72 Correct 1 ms 600 KB Output is correct
73 Correct 3328 ms 579432 KB Output is correct
74 Correct 3367 ms 579304 KB Output is correct
75 Correct 3200 ms 579284 KB Output is correct
76 Correct 3261 ms 579412 KB Output is correct
77 Execution timed out 5051 ms 840532 KB Time limit exceeded
78 Halted 0 ms 0 KB -