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Submission #217513

# Submission time Handle Problem Language Result Execution time Memory
217513 2020-03-30T05:05:36 Z dolphingarlic Rectangles (IOI19_rect) C++14
100 / 100
 4194 ms 723160 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];
set<tuple<int, int, int, int>> 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, x2, y1, 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 1280 KB Output is correct
8 Correct 6 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 5 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 5 ms 512 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 6 ms 1304 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 1280 KB Output is correct
8 Correct 6 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 5 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 5 ms 512 KB Output is correct
17 Correct 8 ms 3584 KB Output is correct
18 Correct 8 ms 3584 KB Output is correct
19 Correct 8 ms 3584 KB Output is correct
20 Correct 7 ms 3200 KB Output is correct
21 Correct 7 ms 3200 KB Output is correct
22 Correct 9 ms 3328 KB Output is correct
23 Correct 7 ms 3328 KB Output is correct
24 Correct 7 ms 3072 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 4 ms 384 KB Output is correct
27 Correct 6 ms 1304 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 1280 KB Output is correct
8 Correct 6 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 5 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 5 ms 512 KB Output is correct
17 Correct 8 ms 3584 KB Output is correct
18 Correct 8 ms 3584 KB Output is correct
19 Correct 8 ms 3584 KB Output is correct
20 Correct 7 ms 3200 KB Output is correct
21 Correct 7 ms 3200 KB Output is correct
22 Correct 9 ms 3328 KB Output is correct
23 Correct 7 ms 3328 KB Output is correct
24 Correct 7 ms 3072 KB Output is correct
25 Correct 23 ms 11008 KB Output is correct
26 Correct 23 ms 11000 KB Output is correct
27 Correct 24 ms 11136 KB Output is correct
28 Correct 15 ms 8576 KB Output is correct
29 Correct 18 ms 9216 KB Output is correct
30 Correct 18 ms 9472 KB Output is correct
31 Correct 18 ms 9344 KB Output is correct
32 Correct 19 ms 9344 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 4 ms 384 KB Output is correct
35 Correct 6 ms 1304 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 1280 KB Output is correct
8 Correct 6 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 5 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 5 ms 512 KB Output is correct
17 Correct 8 ms 3584 KB Output is correct
18 Correct 8 ms 3584 KB Output is correct
19 Correct 8 ms 3584 KB Output is correct
20 Correct 7 ms 3200 KB Output is correct
21 Correct 7 ms 3200 KB Output is correct
22 Correct 9 ms 3328 KB Output is correct
23 Correct 7 ms 3328 KB Output is correct
24 Correct 7 ms 3072 KB Output is correct
25 Correct 23 ms 11008 KB Output is correct
26 Correct 23 ms 11000 KB Output is correct
27 Correct 24 ms 11136 KB Output is correct
28 Correct 15 ms 8576 KB Output is correct
29 Correct 18 ms 9216 KB Output is correct
30 Correct 18 ms 9472 KB Output is correct
31 Correct 18 ms 9344 KB Output is correct
32 Correct 19 ms 9344 KB Output is correct
33 Correct 91 ms 43256 KB Output is correct
34 Correct 84 ms 43256 KB Output is correct
35 Correct 89 ms 43256 KB Output is correct
36 Correct 82 ms 43204 KB Output is correct
37 Correct 269 ms 75680 KB Output is correct
38 Correct 284 ms 75768 KB Output is correct
39 Correct 259 ms 76024 KB Output is correct
40 Correct 249 ms 71160 KB Output is correct
41 Correct 108 ms 44160 KB Output is correct
42 Correct 124 ms 45944 KB Output is correct
43 Correct 164 ms 54136 KB Output is correct
44 Correct 173 ms 56056 KB Output is correct
45 Correct 99 ms 39672 KB Output is correct
46 Correct 87 ms 28280 KB Output is correct
47 Correct 165 ms 55032 KB Output is correct
48 Correct 175 ms 56164 KB Output is correct
49 Correct 5 ms 384 KB Output is correct
50 Correct 4 ms 384 KB Output is correct
51 Correct 6 ms 1304 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 6 ms 896 KB Output is correct
2 Correct 6 ms 896 KB Output is correct
3 Correct 5 ms 768 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 6 ms 768 KB Output is correct
6 Correct 6 ms 768 KB Output is correct
7 Correct 6 ms 768 KB Output is correct
8 Correct 6 ms 768 KB Output is correct
9 Correct 6 ms 768 KB Output is correct
10 Correct 5 ms 512 KB Output is correct
11 Correct 5 ms 640 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 586 ms 151672 KB Output is correct
3 Correct 1309 ms 310904 KB Output is correct
4 Correct 1312 ms 312312 KB Output is correct
5 Correct 1334 ms 312316 KB Output is correct
6 Correct 441 ms 146552 KB Output is correct
7 Correct 870 ms 292856 KB Output is correct
8 Correct 926 ms 296568 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 6 ms 1304 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 1280 KB Output is correct
8 Correct 6 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 5 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 5 ms 512 KB Output is correct
17 Correct 8 ms 3584 KB Output is correct
18 Correct 8 ms 3584 KB Output is correct
19 Correct 8 ms 3584 KB Output is correct
20 Correct 7 ms 3200 KB Output is correct
21 Correct 7 ms 3200 KB Output is correct
22 Correct 9 ms 3328 KB Output is correct
23 Correct 7 ms 3328 KB Output is correct
24 Correct 7 ms 3072 KB Output is correct
25 Correct 23 ms 11008 KB Output is correct
26 Correct 23 ms 11000 KB Output is correct
27 Correct 24 ms 11136 KB Output is correct
28 Correct 15 ms 8576 KB Output is correct
29 Correct 18 ms 9216 KB Output is correct
30 Correct 18 ms 9472 KB Output is correct
31 Correct 18 ms 9344 KB Output is correct
32 Correct 19 ms 9344 KB Output is correct
33 Correct 91 ms 43256 KB Output is correct
34 Correct 84 ms 43256 KB Output is correct
35 Correct 89 ms 43256 KB Output is correct
36 Correct 82 ms 43204 KB Output is correct
37 Correct 269 ms 75680 KB Output is correct
38 Correct 284 ms 75768 KB Output is correct
39 Correct 259 ms 76024 KB Output is correct
40 Correct 249 ms 71160 KB Output is correct
41 Correct 108 ms 44160 KB Output is correct
42 Correct 124 ms 45944 KB Output is correct
43 Correct 164 ms 54136 KB Output is correct
44 Correct 173 ms 56056 KB Output is correct
45 Correct 99 ms 39672 KB Output is correct
46 Correct 87 ms 28280 KB Output is correct
47 Correct 165 ms 55032 KB Output is correct
48 Correct 175 ms 56164 KB Output is correct
49 Correct 6 ms 896 KB Output is correct
50 Correct 6 ms 896 KB Output is correct
51 Correct 5 ms 768 KB Output is correct
52 Correct 5 ms 384 KB Output is correct
53 Correct 6 ms 768 KB Output is correct
54 Correct 6 ms 768 KB Output is correct
55 Correct 6 ms 768 KB Output is correct
56 Correct 6 ms 768 KB Output is correct
57 Correct 6 ms 768 KB Output is correct
58 Correct 5 ms 512 KB Output is correct
59 Correct 5 ms 640 KB Output is correct
60 Correct 5 ms 640 KB Output is correct
61 Correct 586 ms 151672 KB Output is correct
62 Correct 1309 ms 310904 KB Output is correct
63 Correct 1312 ms 312312 KB Output is correct
64 Correct 1334 ms 312316 KB Output is correct
65 Correct 441 ms 146552 KB Output is correct
66 Correct 870 ms 292856 KB Output is correct
67 Correct 926 ms 296568 KB Output is correct
68 Correct 1092 ms 315940 KB Output is correct
69 Correct 968 ms 316016 KB Output is correct
70 Correct 968 ms 315888 KB Output is correct
71 Correct 934 ms 315884 KB Output is correct
72 Correct 4194 ms 723088 KB Output is correct
73 Correct 1291 ms 264312 KB Output is correct
74 Correct 1394 ms 341756 KB Output is correct
75 Correct 2140 ms 440164 KB Output is correct
76 Correct 1342 ms 280160 KB Output is correct
77 Correct 1774 ms 420472 KB Output is correct
78 Correct 2205 ms 466680 KB Output is correct
79 Correct 1286 ms 272040 KB Output is correct
80 Correct 2193 ms 465784 KB Output is correct
81 Correct 2091 ms 453060 KB Output is correct
82 Correct 2335 ms 490604 KB Output is correct
83 Correct 4121 ms 722460 KB Output is correct
84 Correct 4190 ms 722856 KB Output is correct
85 Correct 4150 ms 723160 KB Output is correct
86 Correct 5 ms 384 KB Output is correct
87 Correct 4 ms 384 KB Output is correct
88 Correct 6 ms 1304 KB Output is correct
89 Correct 5 ms 1280 KB Output is correct
90 Correct 5 ms 640 KB Output is correct