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Submission #217515

# Submission time Handle Problem Language Result Execution time Memory
217515 2020-03-30T05:08:23 Z dolphingarlic Rectangles (IOI19_rect) C++14
100 / 100
 2677 ms 539000 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 1280 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 6 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 384 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 4 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 1280 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 6 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 384 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 3364 KB Output is correct
18 Correct 7 ms 3456 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 4 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 1280 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 6 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 384 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 3364 KB Output is correct
18 Correct 7 ms 3456 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 9904 KB Output is correct
27 Correct 20 ms 9904 KB Output is correct
28 Correct 14 ms 8448 KB Output is correct
29 Correct 17 ms 8960 KB Output is correct
30 Correct 19 ms 9088 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 4 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 1280 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 6 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 384 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 3364 KB Output is correct
18 Correct 7 ms 3456 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 9904 KB Output is correct
27 Correct 20 ms 9904 KB Output is correct
28 Correct 14 ms 8448 KB Output is correct
29 Correct 17 ms 8960 KB Output is correct
30 Correct 19 ms 9088 KB Output is correct
31 Correct 17 ms 8960 KB Output is correct
32 Correct 17 ms 8960 KB Output is correct
33 Correct 81 ms 40056 KB Output is correct
34 Correct 81 ms 40056 KB Output is correct
35 Correct 77 ms 40056 KB Output is correct
36 Correct 80 ms 40056 KB Output is correct
37 Correct 185 ms 66440 KB Output is correct
38 Correct 177 ms 66440 KB Output is correct
39 Correct 184 ms 66440 KB Output is correct
40 Correct 171 ms 63624 KB Output is correct
41 Correct 96 ms 42744 KB Output is correct
42 Correct 113 ms 43816 KB Output is correct
43 Correct 149 ms 48828 KB Output is correct
44 Correct 163 ms 48988 KB Output is correct
45 Correct 85 ms 35852 KB Output is correct
46 Correct 73 ms 24584 KB Output is correct
47 Correct 153 ms 48824 KB Output is correct
48 Correct 165 ms 49084 KB Output is correct
49 Correct 4 ms 384 KB Output is correct
50 Correct 4 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 384 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 539 ms 144624 KB Output is correct
3 Correct 1208 ms 294844 KB Output is correct
4 Correct 1213 ms 296420 KB Output is correct
5 Correct 1222 ms 296380 KB Output is correct
6 Correct 421 ms 140664 KB Output is correct
7 Correct 864 ms 281336 KB Output is correct
8 Correct 907 ms 284280 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 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 1280 KB Output is correct
10 Correct 5 ms 1280 KB Output is correct
11 Correct 6 ms 1280 KB Output is correct
12 Correct 5 ms 1280 KB Output is correct
13 Correct 4 ms 384 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 3364 KB Output is correct
18 Correct 7 ms 3456 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 9904 KB Output is correct
27 Correct 20 ms 9904 KB Output is correct
28 Correct 14 ms 8448 KB Output is correct
29 Correct 17 ms 8960 KB Output is correct
30 Correct 19 ms 9088 KB Output is correct
31 Correct 17 ms 8960 KB Output is correct
32 Correct 17 ms 8960 KB Output is correct
33 Correct 81 ms 40056 KB Output is correct
34 Correct 81 ms 40056 KB Output is correct
35 Correct 77 ms 40056 KB Output is correct
36 Correct 80 ms 40056 KB Output is correct
37 Correct 185 ms 66440 KB Output is correct
38 Correct 177 ms 66440 KB Output is correct
39 Correct 184 ms 66440 KB Output is correct
40 Correct 171 ms 63624 KB Output is correct
41 Correct 96 ms 42744 KB Output is correct
42 Correct 113 ms 43816 KB Output is correct
43 Correct 149 ms 48828 KB Output is correct
44 Correct 163 ms 48988 KB Output is correct
45 Correct 85 ms 35852 KB Output is correct
46 Correct 73 ms 24584 KB Output is correct
47 Correct 153 ms 48824 KB Output is correct
48 Correct 165 ms 49084 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 384 KB Output is correct
59 Correct 5 ms 512 KB Output is correct
60 Correct 5 ms 640 KB Output is correct
61 Correct 539 ms 144624 KB Output is correct
62 Correct 1208 ms 294844 KB Output is correct
63 Correct 1213 ms 296420 KB Output is correct
64 Correct 1222 ms 296380 KB Output is correct
65 Correct 421 ms 140664 KB Output is correct
66 Correct 864 ms 281336 KB Output is correct
67 Correct 907 ms 284280 KB Output is correct
68 Correct 1045 ms 269152 KB Output is correct
69 Correct 958 ms 269048 KB Output is correct
70 Correct 955 ms 269176 KB Output is correct
71 Correct 933 ms 269048 KB Output is correct
72 Correct 2484 ms 538872 KB Output is correct
73 Correct 1427 ms 225228 KB Output is correct
74 Correct 1550 ms 291688 KB Output is correct
75 Correct 2555 ms 385108 KB Output is correct
76 Correct 1494 ms 225616 KB Output is correct
77 Correct 1991 ms 342724 KB Output is correct
78 Correct 2677 ms 385388 KB Output is correct
79 Correct 1426 ms 224980 KB Output is correct
80 Correct 2608 ms 385380 KB Output is correct
81 Correct 2529 ms 377808 KB Output is correct
82 Correct 1560 ms 432324 KB Output is correct
83 Correct 2548 ms 538872 KB Output is correct
84 Correct 2546 ms 539000 KB Output is correct
85 Correct 2499 ms 539000 KB Output is correct
86 Correct 4 ms 384 KB Output is correct
87 Correct 4 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