oj.uz

Submission #1034142

# Submission time Handle Problem Language Result Execution time Memory
1034142 2024-07-25T10:04:45 Z AmirAli_H1 Rectangles (IOI19_rect) C++17
100 / 100
 2417 ms 928992 KB 
// In the name of Allah

#include <bits/stdc++.h>
#include "rect.h"
using namespace std;

typedef		long long int			ll;
typedef		long double				ld;
typedef		pair<int, int>			pii;
typedef		pair<ll, ll>			pll;
typedef		complex<ld>				cld;

#define		all(x)					(x).begin(),(x).end()
#define		len(x)					((ll) (x).size())
#define		F						first
#define		S						second
#define		pb						push_back
#define		sep						' '
#define		endl					'\n'
#define		Mp						make_pair
#define		kill(x)					cout << x << '\n', exit(0)
#define		set_dec(x)				cout << fixed << setprecision(x);
#define		file_io(x,y)			freopen(x, "r", stdin); freopen(y, "w", stdout);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const int maxn = 2500 + 4;

int n, m;
int L1[maxn][maxn], R1[maxn][maxn];
int L2[maxn][maxn], R2[maxn][maxn];
vector<int> A1[maxn][maxn], A2[maxn][maxn];
vector<int> ls[maxn][maxn];

bool ok(int l1, int r1, int l2, int r2) {
	int i1 = lower_bound(all(A1[l1 - 1][r1 + 1]), l2) - A1[l1 - 1][r1 + 1].begin() + (r2 - l2);
	if (i1 >= len(A1[l1 - 1][r1 + 1]) || A1[l1 - 1][r1 + 1][i1] != r2) return 0;
	
	int i2 = lower_bound(all(A2[l2 - 1][r2 + 1]), l1) - A2[l2 - 1][r2 + 1].begin() + (r1 - l1);
	if (i2 >= len(A2[l2 - 1][r2 + 1]) || A2[l2 - 1][r2 + 1][i2] != r1) return 0;
	
	return 1;
}

ll count_rectangles(vector<vector<int>> A) {
	n = len(A); m = len(A[0]);
	
	for (int j = 0; j < m; j++) {
		for (int i = 0; i < n; i++) {
			for (L1[i][j] = i - 1; L1[i][j] != -1 && A[i][j] > A[L1[i][j]][j]; L1[i][j] = L1[L1[i][j]][j]);
		}
		for (int i = n - 1; i >= 0; i--) {
			for (R1[i][j] = i + 1; R1[i][j] != n && A[i][j] > A[R1[i][j]][j]; R1[i][j] = R1[R1[i][j]][j]);
		}
	}
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < m; j++) {
			for (L2[i][j] = j - 1; L2[i][j] != -1 && A[i][j] > A[i][L2[i][j]]; L2[i][j] = L2[i][L2[i][j]]);
		}
		for (int j = m - 1; j >= 0; j--) {
			for (R2[i][j] = j + 1; R2[i][j] != m && A[i][j] > A[i][R2[i][j]]; R2[i][j] = R2[i][R2[i][j]]);
		}
	}
	
	for (int j = 0; j < m; j++) {
		for (int i = 0; i < n; i++) {
			if (L1[i][j] != -1 && L1[i][j] + 1 <= i - 1) {
				A1[L1[i][j]][i].pb(j);
			}
			if (R1[i][j] != n && i + 1 <= R1[i][j] - 1 && A[i][j] != A[R1[i][j]][j]) {
				A1[i][R1[i][j]].pb(j);
			}
		}
	}
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < m; j++) {
			if (L2[i][j] != -1 && L2[i][j] + 1 <= j - 1) {
				A2[L2[i][j]][j].pb(i);
			}
			if (R2[i][j] != m && j + 1 <= R2[i][j] - 1 && A[i][j] != A[i][R2[i][j]]) {
				A2[j][R2[i][j]].pb(i);
			}
		}
	}
	
	ll ans = 0;
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < m; j++) {
			if (L1[i][j] != -1 && L1[i][j] + 1 <= i - 1) {
				ls[L1[i][j]][j].pb(i);
			}
			if (R1[i][j] != n && i + 1 <= R1[i][j] - 1 && A[i][j] != A[R1[i][j]][j]) {
				ls[i][j].pb(R1[i][j]);
			}
		}
	}
	for (int i = 1; i < n - 1; i++) {
		for (int j = 0; j < m; j++) {
			if (L2[i][j] != -1 && L2[i][j] + 1 <= j - 1) {
				for (int x : ls[i - 1][j - 1]) {
					ans += ok(i, x - 1, L2[i][j] + 1, j - 1);
				}
			}
			if (R2[i][j] != m && j + 1 <= R2[i][j] - 1 && A[i][j] != A[i][R2[i][j]]) {
				for (int x : ls[i - 1][j + 1]) {
					ans += ok(i, x - 1, j + 1, R2[i][j] - 1);
				}
			}
		}
	}
	
	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 442204 KB Output is correct
2 Correct 185 ms 442456 KB Output is correct
3 Correct 177 ms 442452 KB Output is correct
4 Correct 182 ms 442448 KB Output is correct
5 Correct 178 ms 442448 KB Output is correct
6 Correct 176 ms 442584 KB Output is correct
7 Correct 179 ms 442512 KB Output is correct
8 Correct 178 ms 442196 KB Output is correct
9 Correct 190 ms 442452 KB Output is correct
10 Correct 187 ms 442448 KB Output is correct
11 Correct 180 ms 442668 KB Output is correct
12 Correct 173 ms 442452 KB Output is correct
13 Correct 209 ms 441936 KB Output is correct
14 Correct 177 ms 442196 KB Output is correct
15 Correct 209 ms 442328 KB Output is correct
16 Correct 178 ms 442192 KB Output is correct
17 Correct 171 ms 442064 KB Output is correct
18 Correct 173 ms 442052 KB Output is correct
19 Correct 203 ms 442452 KB Output is correct
20 Correct 172 ms 442448 KB Output is correct
21 Correct 189 ms 442192 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 442204 KB Output is correct
2 Correct 185 ms 442456 KB Output is correct
3 Correct 177 ms 442452 KB Output is correct
4 Correct 182 ms 442448 KB Output is correct
5 Correct 178 ms 442448 KB Output is correct
6 Correct 176 ms 442584 KB Output is correct
7 Correct 179 ms 442512 KB Output is correct
8 Correct 178 ms 442196 KB Output is correct
9 Correct 190 ms 442452 KB Output is correct
10 Correct 187 ms 442448 KB Output is correct
11 Correct 180 ms 442668 KB Output is correct
12 Correct 173 ms 442452 KB Output is correct
13 Correct 209 ms 441936 KB Output is correct
14 Correct 177 ms 442196 KB Output is correct
15 Correct 209 ms 442328 KB Output is correct
16 Correct 178 ms 442192 KB Output is correct
17 Correct 171 ms 442064 KB Output is correct
18 Correct 173 ms 442052 KB Output is correct
19 Correct 203 ms 442452 KB Output is correct
20 Correct 172 ms 442448 KB Output is correct
21 Correct 189 ms 442192 KB Output is correct
22 Correct 182 ms 443728 KB Output is correct
23 Correct 204 ms 443728 KB Output is correct
24 Correct 185 ms 443864 KB Output is correct
25 Correct 187 ms 443684 KB Output is correct
26 Correct 188 ms 443728 KB Output is correct
27 Correct 177 ms 443708 KB Output is correct
28 Correct 177 ms 443728 KB Output is correct
29 Correct 169 ms 443472 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 442204 KB Output is correct
2 Correct 185 ms 442456 KB Output is correct
3 Correct 177 ms 442452 KB Output is correct
4 Correct 182 ms 442448 KB Output is correct
5 Correct 178 ms 442448 KB Output is correct
6 Correct 176 ms 442584 KB Output is correct
7 Correct 179 ms 442512 KB Output is correct
8 Correct 178 ms 442196 KB Output is correct
9 Correct 190 ms 442452 KB Output is correct
10 Correct 187 ms 442448 KB Output is correct
11 Correct 180 ms 442668 KB Output is correct
12 Correct 173 ms 442452 KB Output is correct
13 Correct 209 ms 441936 KB Output is correct
14 Correct 177 ms 442196 KB Output is correct
15 Correct 209 ms 442328 KB Output is correct
16 Correct 178 ms 442192 KB Output is correct
17 Correct 182 ms 443728 KB Output is correct
18 Correct 204 ms 443728 KB Output is correct
19 Correct 185 ms 443864 KB Output is correct
20 Correct 187 ms 443684 KB Output is correct
21 Correct 188 ms 443728 KB Output is correct
22 Correct 177 ms 443708 KB Output is correct
23 Correct 177 ms 443728 KB Output is correct
24 Correct 169 ms 443472 KB Output is correct
25 Correct 171 ms 442064 KB Output is correct
26 Correct 173 ms 442052 KB Output is correct
27 Correct 203 ms 442452 KB Output is correct
28 Correct 172 ms 442448 KB Output is correct
29 Correct 189 ms 442192 KB Output is correct
30 Correct 180 ms 448156 KB Output is correct
31 Correct 189 ms 448084 KB Output is correct
32 Correct 172 ms 448080 KB Output is correct
33 Correct 178 ms 446804 KB Output is correct
34 Correct 195 ms 447636 KB Output is correct
35 Correct 172 ms 447824 KB Output is correct
36 Correct 187 ms 447692 KB Output is correct
37 Correct 185 ms 447572 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 442204 KB Output is correct
2 Correct 185 ms 442456 KB Output is correct
3 Correct 177 ms 442452 KB Output is correct
4 Correct 182 ms 442448 KB Output is correct
5 Correct 178 ms 442448 KB Output is correct
6 Correct 176 ms 442584 KB Output is correct
7 Correct 179 ms 442512 KB Output is correct
8 Correct 178 ms 442196 KB Output is correct
9 Correct 190 ms 442452 KB Output is correct
10 Correct 187 ms 442448 KB Output is correct
11 Correct 180 ms 442668 KB Output is correct
12 Correct 173 ms 442452 KB Output is correct
13 Correct 209 ms 441936 KB Output is correct
14 Correct 177 ms 442196 KB Output is correct
15 Correct 209 ms 442328 KB Output is correct
16 Correct 178 ms 442192 KB Output is correct
17 Correct 182 ms 443728 KB Output is correct
18 Correct 204 ms 443728 KB Output is correct
19 Correct 185 ms 443864 KB Output is correct
20 Correct 187 ms 443684 KB Output is correct
21 Correct 188 ms 443728 KB Output is correct
22 Correct 177 ms 443708 KB Output is correct
23 Correct 177 ms 443728 KB Output is correct
24 Correct 169 ms 443472 KB Output is correct
25 Correct 180 ms 448156 KB Output is correct
26 Correct 189 ms 448084 KB Output is correct
27 Correct 172 ms 448080 KB Output is correct
28 Correct 178 ms 446804 KB Output is correct
29 Correct 195 ms 447636 KB Output is correct
30 Correct 172 ms 447824 KB Output is correct
31 Correct 187 ms 447692 KB Output is correct
32 Correct 185 ms 447572 KB Output is correct
33 Correct 171 ms 442064 KB Output is correct
34 Correct 173 ms 442052 KB Output is correct
35 Correct 203 ms 442452 KB Output is correct
36 Correct 172 ms 442448 KB Output is correct
37 Correct 189 ms 442192 KB Output is correct
38 Correct 216 ms 490832 KB Output is correct
39 Correct 268 ms 490940 KB Output is correct
40 Correct 233 ms 484688 KB Output is correct
41 Correct 229 ms 484708 KB Output is correct
42 Correct 308 ms 488884 KB Output is correct
43 Correct 279 ms 489044 KB Output is correct
44 Correct 263 ms 489300 KB Output is correct
45 Correct 254 ms 486484 KB Output is correct
46 Correct 254 ms 471120 KB Output is correct
47 Correct 290 ms 473328 KB Output is correct
48 Correct 349 ms 480852 KB Output is correct
49 Correct 356 ms 482900 KB Output is correct
50 Correct 257 ms 468184 KB Output is correct
51 Correct 251 ms 462672 KB Output is correct
52 Correct 324 ms 480080 KB Output is correct
53 Correct 330 ms 481304 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 180 ms 442448 KB Output is correct
2 Correct 176 ms 442532 KB Output is correct
3 Correct 180 ms 442192 KB Output is correct
4 Correct 188 ms 442192 KB Output is correct
5 Correct 171 ms 442512 KB Output is correct
6 Correct 186 ms 442448 KB Output is correct
7 Correct 194 ms 442612 KB Output is correct
8 Correct 213 ms 442448 KB Output is correct
9 Correct 161 ms 442448 KB Output is correct
10 Correct 169 ms 442196 KB Output is correct
11 Correct 176 ms 442456 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 171 ms 442064 KB Output is correct
2 Correct 173 ms 442052 KB Output is correct
3 Correct 203 ms 442452 KB Output is correct
4 Correct 172 ms 442448 KB Output is correct
5 Correct 189 ms 442192 KB Output is correct
6 Correct 183 ms 442192 KB Output is correct
7 Correct 522 ms 550664 KB Output is correct
8 Correct 907 ms 669904 KB Output is correct
9 Correct 955 ms 670764 KB Output is correct
10 Correct 953 ms 670804 KB Output is correct
11 Correct 301 ms 520676 KB Output is correct
12 Correct 430 ms 597536 KB Output is correct
13 Correct 441 ms 601428 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 442204 KB Output is correct
2 Correct 185 ms 442456 KB Output is correct
3 Correct 177 ms 442452 KB Output is correct
4 Correct 182 ms 442448 KB Output is correct
5 Correct 178 ms 442448 KB Output is correct
6 Correct 176 ms 442584 KB Output is correct
7 Correct 179 ms 442512 KB Output is correct
8 Correct 178 ms 442196 KB Output is correct
9 Correct 190 ms 442452 KB Output is correct
10 Correct 187 ms 442448 KB Output is correct
11 Correct 180 ms 442668 KB Output is correct
12 Correct 173 ms 442452 KB Output is correct
13 Correct 209 ms 441936 KB Output is correct
14 Correct 177 ms 442196 KB Output is correct
15 Correct 209 ms 442328 KB Output is correct
16 Correct 178 ms 442192 KB Output is correct
17 Correct 182 ms 443728 KB Output is correct
18 Correct 204 ms 443728 KB Output is correct
19 Correct 185 ms 443864 KB Output is correct
20 Correct 187 ms 443684 KB Output is correct
21 Correct 188 ms 443728 KB Output is correct
22 Correct 177 ms 443708 KB Output is correct
23 Correct 177 ms 443728 KB Output is correct
24 Correct 169 ms 443472 KB Output is correct
25 Correct 180 ms 448156 KB Output is correct
26 Correct 189 ms 448084 KB Output is correct
27 Correct 172 ms 448080 KB Output is correct
28 Correct 178 ms 446804 KB Output is correct
29 Correct 195 ms 447636 KB Output is correct
30 Correct 172 ms 447824 KB Output is correct
31 Correct 187 ms 447692 KB Output is correct
32 Correct 185 ms 447572 KB Output is correct
33 Correct 216 ms 490832 KB Output is correct
34 Correct 268 ms 490940 KB Output is correct
35 Correct 233 ms 484688 KB Output is correct
36 Correct 229 ms 484708 KB Output is correct
37 Correct 308 ms 488884 KB Output is correct
38 Correct 279 ms 489044 KB Output is correct
39 Correct 263 ms 489300 KB Output is correct
40 Correct 254 ms 486484 KB Output is correct
41 Correct 254 ms 471120 KB Output is correct
42 Correct 290 ms 473328 KB Output is correct
43 Correct 349 ms 480852 KB Output is correct
44 Correct 356 ms 482900 KB Output is correct
45 Correct 257 ms 468184 KB Output is correct
46 Correct 251 ms 462672 KB Output is correct
47 Correct 324 ms 480080 KB Output is correct
48 Correct 330 ms 481304 KB Output is correct
49 Correct 180 ms 442448 KB Output is correct
50 Correct 176 ms 442532 KB Output is correct
51 Correct 180 ms 442192 KB Output is correct
52 Correct 188 ms 442192 KB Output is correct
53 Correct 171 ms 442512 KB Output is correct
54 Correct 186 ms 442448 KB Output is correct
55 Correct 194 ms 442612 KB Output is correct
56 Correct 213 ms 442448 KB Output is correct
57 Correct 161 ms 442448 KB Output is correct
58 Correct 169 ms 442196 KB Output is correct
59 Correct 176 ms 442456 KB Output is correct
60 Correct 183 ms 442192 KB Output is correct
61 Correct 522 ms 550664 KB Output is correct
62 Correct 907 ms 669904 KB Output is correct
63 Correct 955 ms 670764 KB Output is correct
64 Correct 953 ms 670804 KB Output is correct
65 Correct 301 ms 520676 KB Output is correct
66 Correct 430 ms 597536 KB Output is correct
67 Correct 441 ms 601428 KB Output is correct
68 Correct 171 ms 442064 KB Output is correct
69 Correct 173 ms 442052 KB Output is correct
70 Correct 203 ms 442452 KB Output is correct
71 Correct 172 ms 442448 KB Output is correct
72 Correct 189 ms 442192 KB Output is correct
73 Correct 1163 ms 928992 KB Output is correct
74 Correct 983 ms 928960 KB Output is correct
75 Correct 917 ms 848096 KB Output is correct
76 Correct 795 ms 848412 KB Output is correct
77 Correct 1373 ms 907016 KB Output is correct
78 Correct 1409 ms 650024 KB Output is correct
79 Correct 1677 ms 709416 KB Output is correct
80 Correct 2303 ms 786096 KB Output is correct
81 Correct 1486 ms 666900 KB Output is correct
82 Correct 1916 ms 762708 KB Output is correct
83 Correct 2417 ms 814420 KB Output is correct
84 Correct 1237 ms 647384 KB Output is correct
85 Correct 2108 ms 798408 KB Output is correct
86 Correct 1980 ms 788392 KB Output is correct
87 Correct 844 ms 758096 KB Output is correct
88 Correct 1368 ms 906636 KB Output is correct
89 Correct 1472 ms 906980 KB Output is correct
90 Correct 1382 ms 907092 KB Output is correct