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Submission #217518

# Submission time Handle Problem Language Result Execution time Memory
217518 2020-03-30T05:14:10 Z dolphingarlic Rectangles (IOI19_rect) C++14
100 / 100
 2636 ms 539140 KB 
#include "rect.h"

#include <bits/stdc++.h>
typedef long long ll;
using namespace std;

int gl[3000][3000], gr[3000][3000], gu[3000][3000], gd[3000][3000];
int lu[3000][3000], ru[3000][3000], ul[3000][3000], dl[3000][3000];
unordered_set<ll> rects;

void check(int x1, int x2, int y1, int y2) {
	if (x2 < x1 || y2 < y1) return;
	if (!((gl[x2][y2 + 1] + 1 == y1 && lu[x2][y2 + 1] <= x1) || (gr[x2][y1 - 1] - 1 == y2 && ru[x2][y1 - 1] <= x1))) return;
	if (!((gu[x2 + 1][y2] + 1 == x1 && ul[x2 + 1][y2] <= y1) || (gd[x1 - 1][y2] - 1 == x2 && dl[x1 - 1][y2] <= y1))) return;
	rects.insert(((x1 * 3000ll + x2) * 3000ll + y1) * 3000ll + y2);
}

ll count_rectangles(vector<vector<int>> a) {
	int n = a.size(), m = a[0].size();

	for (int i = 0; i < n; i++) {
		vector<int> stck;
		for (int j = 0; j < m; j++) {
			while (stck.size() && a[i][stck.back()] < a[i][j]) stck.pop_back();
			if (stck.size()) gl[i][j] = stck.back();
			else gl[i][j] = -1;
			stck.push_back(j);
		}
		stck.clear();
		for (int j = m - 1; ~j; j--) {
			while (stck.size() && a[i][stck.back()] < a[i][j]) stck.pop_back();
			if (stck.size()) gr[i][j] = stck.back();
			else gr[i][j] = -1;
			stck.push_back(j);
		}
	}

	for (int i = 0; i < m; i++) {
		vector<int> stck;
		for (int j = 0; j < n; j++) {
			while (stck.size() && a[stck.back()][i] < a[j][i]) stck.pop_back();
			if (stck.size()) gu[j][i] = stck.back();
			else gu[j][i] = -1;
			stck.push_back(j);
		}
		stck.clear();
		for (int j = n - 1; ~j; j--) {
			while (stck.size() && a[stck.back()][i] < a[j][i]) stck.pop_back();
			if (stck.size()) gd[j][i] = stck.back();
			else gd[j][i] = -1;
			stck.push_back(j);
		}
	}

	for (int i = 0; i < n; i++) {
		for (int j = 0; j < m; j++) {
			if (~gl[i][j]) {
				if (i && gl[i - 1][j] == gl[i][j]) lu[i][j] = lu[i - 1][j];
				else if (i && gr[i - 1][gl[i][j]] == j) lu[i][j] = ru[i - 1][gl[i][j]];
				else lu[i][j] = i;
			}
			if (~gr[i][j]) {
				if (i && gr[i - 1][j] == gr[i][j]) ru[i][j] = ru[i - 1][j];
				else if (i && gl[i - 1][gr[i][j]] == j) ru[i][j] = lu[i - 1][gr[i][j]];
				else ru[i][j] = i;
			}
		}
	}

	for (int i = 0; i < m; i++) {
		for (int j = 0; j < n; j++) {
			if (~gu[j][i]) {
				if (i && gu[j][i - 1] == gu[j][i]) ul[j][i] = ul[j][i - 1];
				else if (i && gd[gu[j][i]][i - 1] == j) ul[j][i] = dl[gu[j][i]][i - 1];
				else ul[j][i] = i;
			}
			if (~gd[j][i]) {
				if (i && gd[j][i - 1] == gd[j][i]) dl[j][i] = dl[j][i - 1];
				else if (i && gu[gd[j][i]][i - 1] == j) dl[j][i] = ul[gd[j][i]][i - 1];
				else dl[j][i] = i;
			}
		}
	}

	for (int i = 1; i < n - 1; i++) for (int j = 1; j < m - 1; j++) {
		if (~gl[i][j + 1] && ~gu[i + 1][j]) check(gu[i + 1][j] + 1, i, gl[i][j + 1] + 1, j);
		if (~gl[i][j + 1] && ~gd[i - 1][j]) check(i, gd[i - 1][j] - 1, gl[i][j + 1] + 1, j);
		if (~gr[i][j - 1] && ~gu[i + 1][j]) check(gu[i + 1][j] + 1, i, j, gr[i][j - 1] - 1);
		if (~gr[i][j - 1] && ~gd[i - 1][j]) check(i, gd[i - 1][j] - 1, j, gr[i][j - 1] - 1);

		if (~gr[i][j - 1] && ~gd[i - 1][gr[i][j - 1] - 1])
			check(i, gd[i - 1][gr[i][j - 1] - 1] - 1, j, gr[i][j - 1] - 1);
		if (~gd[i - 1][j] && ~gr[gd[i - 1][j] - 1][j - 1])
			check(i, gd[i - 1][j] - 1, j, gr[gd[i - 1][j] - 1][j - 1] - 1);
	}

	return rects.size();
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB Output is correct
2 Correct 5 ms 1408 KB Output is correct
3 Correct 5 ms 1408 KB Output is correct
4 Correct 5 ms 1408 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct
6 Correct 5 ms 1280 KB Output is correct
7 Correct 5 ms 1408 KB Output is correct
8 Correct 5 ms 768 KB Output is correct
9 Correct 5 ms 1408 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 5 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 640 KB Output is correct
15 Correct 5 ms 640 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 1280 KB Output is correct
20 Correct 5 ms 1280 KB Output is correct
21 Correct 5 ms 640 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB Output is correct
2 Correct 5 ms 1408 KB Output is correct
3 Correct 5 ms 1408 KB Output is correct
4 Correct 5 ms 1408 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct
6 Correct 5 ms 1280 KB Output is correct
7 Correct 5 ms 1408 KB Output is correct
8 Correct 5 ms 768 KB Output is correct
9 Correct 5 ms 1408 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 5 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 640 KB Output is correct
15 Correct 5 ms 640 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 7 ms 3328 KB Output is correct
18 Correct 7 ms 3328 KB Output is correct
19 Correct 7 ms 3328 KB Output is correct
20 Correct 7 ms 3200 KB Output is correct
21 Correct 7 ms 3200 KB Output is correct
22 Correct 7 ms 3200 KB Output is correct
23 Correct 7 ms 3200 KB Output is correct
24 Correct 6 ms 3072 KB Output is correct
25 Correct 4 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 1280 KB Output is correct
28 Correct 5 ms 1280 KB Output is correct
29 Correct 5 ms 640 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB Output is correct
2 Correct 5 ms 1408 KB Output is correct
3 Correct 5 ms 1408 KB Output is correct
4 Correct 5 ms 1408 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct
6 Correct 5 ms 1280 KB Output is correct
7 Correct 5 ms 1408 KB Output is correct
8 Correct 5 ms 768 KB Output is correct
9 Correct 5 ms 1408 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 5 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 640 KB Output is correct
15 Correct 5 ms 640 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 7 ms 3328 KB Output is correct
18 Correct 7 ms 3328 KB Output is correct
19 Correct 7 ms 3328 KB Output is correct
20 Correct 7 ms 3200 KB Output is correct
21 Correct 7 ms 3200 KB Output is correct
22 Correct 7 ms 3200 KB Output is correct
23 Correct 7 ms 3200 KB Output is correct
24 Correct 6 ms 3072 KB Output is correct
25 Correct 16 ms 9904 KB Output is correct
26 Correct 16 ms 9956 KB Output is correct
27 Correct 17 ms 9904 KB Output is correct
28 Correct 14 ms 8448 KB Output is correct
29 Correct 19 ms 9088 KB Output is correct
30 Correct 17 ms 8960 KB Output is correct
31 Correct 17 ms 8960 KB Output is correct
32 Correct 17 ms 8960 KB Output is correct
33 Correct 4 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 1280 KB Output is correct
36 Correct 5 ms 1280 KB Output is correct
37 Correct 5 ms 640 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB Output is correct
2 Correct 5 ms 1408 KB Output is correct
3 Correct 5 ms 1408 KB Output is correct
4 Correct 5 ms 1408 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct
6 Correct 5 ms 1280 KB Output is correct
7 Correct 5 ms 1408 KB Output is correct
8 Correct 5 ms 768 KB Output is correct
9 Correct 5 ms 1408 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 5 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 640 KB Output is correct
15 Correct 5 ms 640 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 7 ms 3328 KB Output is correct
18 Correct 7 ms 3328 KB Output is correct
19 Correct 7 ms 3328 KB Output is correct
20 Correct 7 ms 3200 KB Output is correct
21 Correct 7 ms 3200 KB Output is correct
22 Correct 7 ms 3200 KB Output is correct
23 Correct 7 ms 3200 KB Output is correct
24 Correct 6 ms 3072 KB Output is correct
25 Correct 16 ms 9904 KB Output is correct
26 Correct 16 ms 9956 KB Output is correct
27 Correct 17 ms 9904 KB Output is correct
28 Correct 14 ms 8448 KB Output is correct
29 Correct 19 ms 9088 KB Output is correct
30 Correct 17 ms 8960 KB Output is correct
31 Correct 17 ms 8960 KB Output is correct
32 Correct 17 ms 8960 KB Output is correct
33 Correct 83 ms 40056 KB Output is correct
34 Correct 78 ms 40056 KB Output is correct
35 Correct 78 ms 40088 KB Output is correct
36 Correct 78 ms 40056 KB Output is correct
37 Correct 184 ms 66416 KB Output is correct
38 Correct 194 ms 66436 KB Output is correct
39 Correct 183 ms 66472 KB Output is correct
40 Correct 170 ms 63748 KB Output is correct
41 Correct 102 ms 42744 KB Output is correct
42 Correct 115 ms 43944 KB Output is correct
43 Correct 156 ms 48828 KB Output is correct
44 Correct 158 ms 48828 KB Output is correct
45 Correct 85 ms 35848 KB Output is correct
46 Correct 73 ms 24584 KB Output is correct
47 Correct 156 ms 48840 KB Output is correct
48 Correct 158 ms 48828 KB Output is correct
49 Correct 4 ms 384 KB Output is correct
50 Correct 5 ms 384 KB Output is correct
51 Correct 5 ms 1280 KB Output is correct
52 Correct 5 ms 1280 KB Output is correct
53 Correct 5 ms 640 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 768 KB Output is correct
2 Correct 5 ms 768 KB Output is correct
3 Correct 5 ms 640 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 6 ms 640 KB Output is correct
6 Correct 6 ms 640 KB Output is correct
7 Correct 6 ms 640 KB Output is correct
8 Correct 6 ms 640 KB Output is correct
9 Correct 6 ms 640 KB Output is correct
10 Correct 5 ms 512 KB Output is correct
11 Correct 5 ms 512 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 640 KB Output is correct
2 Correct 541 ms 144648 KB Output is correct
3 Correct 1219 ms 295060 KB Output is correct
4 Correct 1240 ms 296428 KB Output is correct
5 Correct 1217 ms 296408 KB Output is correct
6 Correct 422 ms 140672 KB Output is correct
7 Correct 854 ms 281212 KB Output is correct
8 Correct 917 ms 284536 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 5 ms 640 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB Output is correct
2 Correct 5 ms 1408 KB Output is correct
3 Correct 5 ms 1408 KB Output is correct
4 Correct 5 ms 1408 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct
6 Correct 5 ms 1280 KB Output is correct
7 Correct 5 ms 1408 KB Output is correct
8 Correct 5 ms 768 KB Output is correct
9 Correct 5 ms 1408 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 5 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 640 KB Output is correct
15 Correct 5 ms 640 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 7 ms 3328 KB Output is correct
18 Correct 7 ms 3328 KB Output is correct
19 Correct 7 ms 3328 KB Output is correct
20 Correct 7 ms 3200 KB Output is correct
21 Correct 7 ms 3200 KB Output is correct
22 Correct 7 ms 3200 KB Output is correct
23 Correct 7 ms 3200 KB Output is correct
24 Correct 6 ms 3072 KB Output is correct
25 Correct 16 ms 9904 KB Output is correct
26 Correct 16 ms 9956 KB Output is correct
27 Correct 17 ms 9904 KB Output is correct
28 Correct 14 ms 8448 KB Output is correct
29 Correct 19 ms 9088 KB Output is correct
30 Correct 17 ms 8960 KB Output is correct
31 Correct 17 ms 8960 KB Output is correct
32 Correct 17 ms 8960 KB Output is correct
33 Correct 83 ms 40056 KB Output is correct
34 Correct 78 ms 40056 KB Output is correct
35 Correct 78 ms 40088 KB Output is correct
36 Correct 78 ms 40056 KB Output is correct
37 Correct 184 ms 66416 KB Output is correct
38 Correct 194 ms 66436 KB Output is correct
39 Correct 183 ms 66472 KB Output is correct
40 Correct 170 ms 63748 KB Output is correct
41 Correct 102 ms 42744 KB Output is correct
42 Correct 115 ms 43944 KB Output is correct
43 Correct 156 ms 48828 KB Output is correct
44 Correct 158 ms 48828 KB Output is correct
45 Correct 85 ms 35848 KB Output is correct
46 Correct 73 ms 24584 KB Output is correct
47 Correct 156 ms 48840 KB Output is correct
48 Correct 158 ms 48828 KB Output is correct
49 Correct 5 ms 768 KB Output is correct
50 Correct 5 ms 768 KB Output is correct
51 Correct 5 ms 640 KB Output is correct
52 Correct 4 ms 384 KB Output is correct
53 Correct 6 ms 640 KB Output is correct
54 Correct 6 ms 640 KB Output is correct
55 Correct 6 ms 640 KB Output is correct
56 Correct 6 ms 640 KB Output is correct
57 Correct 6 ms 640 KB Output is correct
58 Correct 5 ms 512 KB Output is correct
59 Correct 5 ms 512 KB Output is correct
60 Correct 5 ms 640 KB Output is correct
61 Correct 541 ms 144648 KB Output is correct
62 Correct 1219 ms 295060 KB Output is correct
63 Correct 1240 ms 296428 KB Output is correct
64 Correct 1217 ms 296408 KB Output is correct
65 Correct 422 ms 140672 KB Output is correct
66 Correct 854 ms 281212 KB Output is correct
67 Correct 917 ms 284536 KB Output is correct
68 Correct 1050 ms 269344 KB Output is correct
69 Correct 960 ms 269048 KB Output is correct
70 Correct 953 ms 269200 KB Output is correct
71 Correct 930 ms 269176 KB Output is correct
72 Correct 2544 ms 539140 KB Output is correct
73 Correct 1419 ms 225104 KB Output is correct
74 Correct 1539 ms 291916 KB Output is correct
75 Correct 2535 ms 385412 KB Output is correct
76 Correct 1482 ms 225472 KB Output is correct
77 Correct 1993 ms 342736 KB Output is correct
78 Correct 2636 ms 385364 KB Output is correct
79 Correct 1423 ms 225052 KB Output is correct
80 Correct 2589 ms 385360 KB Output is correct
81 Correct 2536 ms 377424 KB Output is correct
82 Correct 1533 ms 432204 KB Output is correct
83 Correct 2465 ms 538744 KB Output is correct
84 Correct 2556 ms 539000 KB Output is correct
85 Correct 2561 ms 538876 KB Output is correct
86 Correct 4 ms 384 KB Output is correct
87 Correct 5 ms 384 KB Output is correct
88 Correct 5 ms 1280 KB Output is correct
89 Correct 5 ms 1280 KB Output is correct
90 Correct 5 ms 640 KB Output is correct