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Submission #203478

# Submission time Handle Problem Language Result Execution time Memory
203478 2020-02-20T21:34:23 Z stefdasca Rectangles (IOI19_rect) C++14
72 / 100
 5000 ms 715300 KB 
#include "rect.h"
#include<bits/stdc++.h>
using namespace std;
long long count_rectangles(vector<vector<int> > a)
{
    int n = a.size();
    int m = a[0].size();
    int max_val = 0;
    int min_val = (1<<30);
	for(int i = 0; i < n; ++i)
        for(int j = 0; j < m; ++j)
        {
            max_val = max(max_val, a[i][j]);
            min_val = min(min_val, a[i][j]);
        }
    if(max_val == min_val)
        return 0;
    long long ans = 0;
    if(max_val == 1)
    {
        vector<vector<int> >viz(n, vector<int>(m));
        for(int i = 0; i < n; ++i)
            for(int j = 0; j < m; ++j)
                viz[i][j] = 0;
        for(int i = 0; i < n; ++i)
            for(int j = 0; j < m; ++j)
            {
                if(a[i][j] == 0 && !viz[i][j])
                {
                    int minix = i, maxix = i, miniy = j, maxiy = j;
                    int cnt = 1;
                    viz[i][j] = 1;
                    deque<pair<int, int> >d;
                    d.push_back({i, j});
                    while(!d.empty())
                    {
                        pair<int, int> nod = d[0];
                        d.pop_front();
                        for(int ox = -1; ox <= 1; ++ox)
                            for(int oy = -1; oy <= 1; ++oy)
                            {
                                if(ox && oy)
                                    continue;
                                if(!ox && !oy)
                                    continue;
                                int new_x = nod.first + ox;
                                int new_y = nod.second + oy;
                                if(new_x >= 0 && new_y >= 0 && new_x < n && new_y < m)
                                {
                                    if(a[new_x][new_y] == 0 && !viz[new_x][new_y])
                                    {
                                        viz[new_x][new_y] = 1;
                                        d.push_back({new_x, new_y});
                                        minix = min(minix, new_x);
                                        maxix = max(maxix, new_x);
                                        miniy = min(miniy, new_y);
                                        maxiy = max(maxiy, new_y);
                                        ++cnt;
                                    }
                                }
                            }
                    }
                    if(minix && miniy && maxix < n-1 && maxiy < m-1)
                    {
                        if(cnt == (maxix - minix + 1) * (maxiy - miniy + 1))
                            ++ans;
                    }
                }
            }
    }
    else
    {
        int maxst[2502][2502], maxdr[2502][2502], maxup[2502][2502], maxdwn[2502][2502];
        deque<int> d;
        for(int i = 0; i < n; ++i)
        {
            for(int j = 0; j < m; ++j)
            {
                while(!d.empty() && a[i][j] > a[i][d.back()])
                    d.pop_back();
                if(d.empty())
                    maxst[i][j] = -1;
                else
                    maxst[i][j] = d.back();
                d.push_back(j);
            }
            d.clear();
            for(int j = m - 1; j >= 0; --j)
            {
                while(!d.empty() && a[i][j] > a[i][d.back()])
                    d.pop_back();
                if(d.empty())
                    maxdr[i][j] = m;
                else
                    maxdr[i][j] = d.back();
                d.push_back(j);
            }
            d.clear();
        }
        for(int i = 0; i < m; ++i)
        {
            for(int j = 0; j < n; ++j)
            {
                while(!d.empty() && a[j][i] > a[d.back()][i])
                    d.pop_back();
                if(d.empty())
                    maxup[j][i] = -1;
                else
                    maxup[j][i] = d.back();
                d.push_back(j);
            }
            d.clear();
            for(int j = n-1; j >= 0; --j)
            {
                while(!d.empty() && a[j][i] > a[d.back()][i])
                    d.pop_back();
                if(d.empty())
                    maxdwn[j][i] = n;
                else
                    maxdwn[j][i] = d.back();
                d.push_back(j);
            }
            d.clear();
        }
        int rmq[2502][15][2502];
        int rmq2[2502][15][2502];
        int Logg[2502] = {0};
        for(int i = 2; i <= 2500; ++i)
            Logg[i] = Logg[i/2] + 1;
        for(int i = 0; i < m; ++i)
        {
            for(int j = 0; j < n; ++j)
                rmq[i][0][j] = maxst[j][i];
            for(int stp = 1; (1<<stp) <= n; ++stp)
                for(int j = 0; j + (1<<stp) - 1 < n; ++j)
                    rmq[i][stp][j] = max(rmq[i][stp-1][j], rmq[i][stp-1][j + (1<<(stp - 1))]);

            for(int j = 0; j < n; ++j)
                rmq2[i][0][j] = maxdr[j][i];
            for(int stp = 1; (1<<stp) <= n; ++stp)
                for(int j = 0; j + (1<<stp) - 1 < n; ++j)
                    rmq2[i][stp][j] = min(rmq2[i][stp-1][j], rmq2[i][stp-1][j + (1<<(stp - 1))]);
        }
        for(int borderup = 0; borderup < n; ++borderup)
            for(int borderdown = borderup + 2; borderdown < n; ++borderdown)
            {
                for(int i = 0; i + 2 < m; ++i)
                {
                    int lg = Logg[borderdown - borderup - 1];
                    int mx = min(rmq2[i][lg][borderup + 1], rmq2[i][lg][(borderdown - 1) - (1<<lg) + 1]);
                    bool ok = 1;
                    for(int j = i+1; j < mx && ok; ++j)
                    {
                        ok &= (maxdwn[borderup][j] >= borderdown && maxup[borderdown][j] <= borderup);
                        if(ok && j+1 < m)
                        {
                            int mx2 = max(rmq[j+1][lg][borderup + 1], rmq[j+1][lg][(borderdown - 1) - (1<<lg) + 1]);
                            if(mx2 <= i)
                                ++ans;
                        }
                    }
                }
            }
    }
	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 632 KB Output is correct
2 Correct 6 ms 2040 KB Output is correct
3 Correct 6 ms 2040 KB Output is correct
4 Correct 6 ms 2168 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 6 ms 2040 KB Output is correct
7 Correct 5 ms 1400 KB Output is correct
8 Correct 5 ms 1528 KB Output is correct
9 Correct 6 ms 2044 KB Output is correct
10 Correct 6 ms 2040 KB Output is correct
11 Correct 5 ms 2040 KB Output is correct
12 Correct 6 ms 2040 KB Output is correct
13 Correct 5 ms 256 KB Output is correct
14 Correct 5 ms 632 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 256 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 256 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 632 KB Output is correct
2 Correct 6 ms 2040 KB Output is correct
3 Correct 6 ms 2040 KB Output is correct
4 Correct 6 ms 2168 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 6 ms 2040 KB Output is correct
7 Correct 5 ms 1400 KB Output is correct
8 Correct 5 ms 1528 KB Output is correct
9 Correct 6 ms 2044 KB Output is correct
10 Correct 6 ms 2040 KB Output is correct
11 Correct 5 ms 2040 KB Output is correct
12 Correct 6 ms 2040 KB Output is correct
13 Correct 5 ms 256 KB Output is correct
14 Correct 5 ms 632 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 11 ms 6648 KB Output is correct
18 Correct 10 ms 6520 KB Output is correct
19 Correct 10 ms 6648 KB Output is correct
20 Correct 10 ms 6648 KB Output is correct
21 Correct 10 ms 6520 KB Output is correct
22 Correct 10 ms 6524 KB Output is correct
23 Correct 10 ms 6520 KB Output is correct
24 Correct 7 ms 4088 KB Output is correct
25 Correct 5 ms 376 KB Output is correct
26 Correct 5 ms 256 KB Output is correct
27 Correct 5 ms 376 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 5 ms 256 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 632 KB Output is correct
2 Correct 6 ms 2040 KB Output is correct
3 Correct 6 ms 2040 KB Output is correct
4 Correct 6 ms 2168 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 6 ms 2040 KB Output is correct
7 Correct 5 ms 1400 KB Output is correct
8 Correct 5 ms 1528 KB Output is correct
9 Correct 6 ms 2044 KB Output is correct
10 Correct 6 ms 2040 KB Output is correct
11 Correct 5 ms 2040 KB Output is correct
12 Correct 6 ms 2040 KB Output is correct
13 Correct 5 ms 256 KB Output is correct
14 Correct 5 ms 632 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 11 ms 6648 KB Output is correct
18 Correct 10 ms 6520 KB Output is correct
19 Correct 10 ms 6648 KB Output is correct
20 Correct 10 ms 6648 KB Output is correct
21 Correct 10 ms 6520 KB Output is correct
22 Correct 10 ms 6524 KB Output is correct
23 Correct 10 ms 6520 KB Output is correct
24 Correct 7 ms 4088 KB Output is correct
25 Correct 51 ms 19448 KB Output is correct
26 Correct 53 ms 19448 KB Output is correct
27 Correct 58 ms 19448 KB Output is correct
28 Correct 37 ms 19576 KB Output is correct
29 Correct 37 ms 19448 KB Output is correct
30 Correct 38 ms 19544 KB Output is correct
31 Correct 38 ms 19576 KB Output is correct
32 Correct 38 ms 19320 KB Output is correct
33 Correct 5 ms 376 KB Output is correct
34 Correct 5 ms 256 KB Output is correct
35 Correct 5 ms 376 KB Output is correct
36 Correct 5 ms 376 KB Output is correct
37 Correct 5 ms 256 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 632 KB Output is correct
2 Correct 6 ms 2040 KB Output is correct
3 Correct 6 ms 2040 KB Output is correct
4 Correct 6 ms 2168 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 6 ms 2040 KB Output is correct
7 Correct 5 ms 1400 KB Output is correct
8 Correct 5 ms 1528 KB Output is correct
9 Correct 6 ms 2044 KB Output is correct
10 Correct 6 ms 2040 KB Output is correct
11 Correct 5 ms 2040 KB Output is correct
12 Correct 6 ms 2040 KB Output is correct
13 Correct 5 ms 256 KB Output is correct
14 Correct 5 ms 632 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 11 ms 6648 KB Output is correct
18 Correct 10 ms 6520 KB Output is correct
19 Correct 10 ms 6648 KB Output is correct
20 Correct 10 ms 6648 KB Output is correct
21 Correct 10 ms 6520 KB Output is correct
22 Correct 10 ms 6524 KB Output is correct
23 Correct 10 ms 6520 KB Output is correct
24 Correct 7 ms 4088 KB Output is correct
25 Correct 51 ms 19448 KB Output is correct
26 Correct 53 ms 19448 KB Output is correct
27 Correct 58 ms 19448 KB Output is correct
28 Correct 37 ms 19576 KB Output is correct
29 Correct 37 ms 19448 KB Output is correct
30 Correct 38 ms 19544 KB Output is correct
31 Correct 38 ms 19576 KB Output is correct
32 Correct 38 ms 19320 KB Output is correct
33 Correct 1022 ms 112376 KB Output is correct
34 Correct 1187 ms 112252 KB Output is correct
35 Correct 1108 ms 112376 KB Output is correct
36 Correct 1058 ms 112376 KB Output is correct
37 Correct 1938 ms 112376 KB Output is correct
38 Correct 1845 ms 112104 KB Output is correct
39 Correct 1774 ms 112376 KB Output is correct
40 Correct 1591 ms 108284 KB Output is correct
41 Correct 36 ms 6136 KB Output is correct
42 Correct 848 ms 112248 KB Output is correct
43 Correct 888 ms 112376 KB Output is correct
44 Correct 874 ms 112376 KB Output is correct
45 Correct 424 ms 61944 KB Output is correct
46 Correct 273 ms 76920 KB Output is correct
47 Correct 918 ms 112416 KB Output is correct
48 Correct 921 ms 112248 KB Output is correct
49 Correct 5 ms 376 KB Output is correct
50 Correct 5 ms 256 KB Output is correct
51 Correct 5 ms 376 KB Output is correct
52 Correct 5 ms 376 KB Output is correct
53 Correct 5 ms 256 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 42104 KB Output is correct
2 Correct 45 ms 35704 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 25 ms 41976 KB Output is correct
6 Correct 25 ms 41980 KB Output is correct
7 Correct 25 ms 41976 KB Output is correct
8 Correct 25 ms 41976 KB Output is correct
9 Correct 24 ms 41976 KB Output is correct
10 Correct 15 ms 21880 KB Output is correct
11 Correct 23 ms 41848 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 188 ms 34044 KB Output is correct
3 Correct 400 ms 73592 KB Output is correct
4 Correct 408 ms 73976 KB Output is correct
5 Correct 404 ms 73976 KB Output is correct
6 Correct 239 ms 36856 KB Output is correct
7 Correct 517 ms 69368 KB Output is correct
8 Correct 585 ms 74104 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 256 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 256 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 632 KB Output is correct
2 Correct 6 ms 2040 KB Output is correct
3 Correct 6 ms 2040 KB Output is correct
4 Correct 6 ms 2168 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 6 ms 2040 KB Output is correct
7 Correct 5 ms 1400 KB Output is correct
8 Correct 5 ms 1528 KB Output is correct
9 Correct 6 ms 2044 KB Output is correct
10 Correct 6 ms 2040 KB Output is correct
11 Correct 5 ms 2040 KB Output is correct
12 Correct 6 ms 2040 KB Output is correct
13 Correct 5 ms 256 KB Output is correct
14 Correct 5 ms 632 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 11 ms 6648 KB Output is correct
18 Correct 10 ms 6520 KB Output is correct
19 Correct 10 ms 6648 KB Output is correct
20 Correct 10 ms 6648 KB Output is correct
21 Correct 10 ms 6520 KB Output is correct
22 Correct 10 ms 6524 KB Output is correct
23 Correct 10 ms 6520 KB Output is correct
24 Correct 7 ms 4088 KB Output is correct
25 Correct 51 ms 19448 KB Output is correct
26 Correct 53 ms 19448 KB Output is correct
27 Correct 58 ms 19448 KB Output is correct
28 Correct 37 ms 19576 KB Output is correct
29 Correct 37 ms 19448 KB Output is correct
30 Correct 38 ms 19544 KB Output is correct
31 Correct 38 ms 19576 KB Output is correct
32 Correct 38 ms 19320 KB Output is correct
33 Correct 1022 ms 112376 KB Output is correct
34 Correct 1187 ms 112252 KB Output is correct
35 Correct 1108 ms 112376 KB Output is correct
36 Correct 1058 ms 112376 KB Output is correct
37 Correct 1938 ms 112376 KB Output is correct
38 Correct 1845 ms 112104 KB Output is correct
39 Correct 1774 ms 112376 KB Output is correct
40 Correct 1591 ms 108284 KB Output is correct
41 Correct 36 ms 6136 KB Output is correct
42 Correct 848 ms 112248 KB Output is correct
43 Correct 888 ms 112376 KB Output is correct
44 Correct 874 ms 112376 KB Output is correct
45 Correct 424 ms 61944 KB Output is correct
46 Correct 273 ms 76920 KB Output is correct
47 Correct 918 ms 112416 KB Output is correct
48 Correct 921 ms 112248 KB Output is correct
49 Correct 68 ms 42104 KB Output is correct
50 Correct 45 ms 35704 KB Output is correct
51 Correct 5 ms 376 KB Output is correct
52 Correct 5 ms 376 KB Output is correct
53 Correct 25 ms 41976 KB Output is correct
54 Correct 25 ms 41980 KB Output is correct
55 Correct 25 ms 41976 KB Output is correct
56 Correct 25 ms 41976 KB Output is correct
57 Correct 24 ms 41976 KB Output is correct
58 Correct 15 ms 21880 KB Output is correct
59 Correct 23 ms 41848 KB Output is correct
60 Correct 5 ms 256 KB Output is correct
61 Correct 188 ms 34044 KB Output is correct
62 Correct 400 ms 73592 KB Output is correct
63 Correct 408 ms 73976 KB Output is correct
64 Correct 404 ms 73976 KB Output is correct
65 Correct 239 ms 36856 KB Output is correct
66 Correct 517 ms 69368 KB Output is correct
67 Correct 585 ms 74104 KB Output is correct
68 Execution timed out 5107 ms 715300 KB Time limit exceeded
69 Halted 0 ms 0 KB -