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Submission #318561

# Submission time Handle Problem Language Result Execution time Memory
318561 2020-11-02T10:42:25 Z lohacho Rectangles (IOI19_rect) C++14
72 / 100
 5000 ms 677260 KB 
#include "rect.h"
#include <bits/stdc++.h>

using namespace std;

using LL = long long;
const int MOD = (int)1e9 + 7;
const int NS = (int)2504;
int N, M;
pair<int, int> stk[NS];
int top;
int l[NS][NS], r[NS][NS], u[NS][NS], d[NS][NS];
vector<pair<int, int>> col[NS], row[NS];
int cmx[NS][NS], rmx[NS][NS];
vector<vector<int>> rect;

long long count_rectangles(vector<vector<int>> a) {
    N = (int)a.size(), M = (int)a[0].size();
    memset(l, -1, sizeof(l)), memset(r, -1, sizeof(r)), memset(u, -1, sizeof(u)), memset(d, -1, sizeof(d));
    for(int i = 0; i < N; ++i){
        for(int j = 0; j < M; ++j){
            while(top && stk[top].first <= a[i][j]){
                --top;
            }
            if(top){
                l[i][j] = stk[top].second;
            }
            stk[++top] = {a[i][j], j};
        }
        top = 0;
        for(int j = M - 1; j >= 0; --j){
            while(top && stk[top].first <= a[i][j]){
                --top;
            }
            if(top){
                r[i][j] = stk[top].second;
            }
            stk[++top] = {a[i][j], j};
        }
        top = 0;
    }
    for(int j = 0; j < M; ++j){
        for(int i = 0; i < N; ++i){
            while(top && stk[top].first <= a[i][j]){
                --top;
            }
            if(top){
                u[i][j] = stk[top].second;
            }
            stk[++top] = {a[i][j], i};
        }
        top = 0;
        for(int i = N - 1; i >= 0; --i){
            while(top && stk[top].first <= a[i][j]){
                --top;
            }
            if(top){
                d[i][j] = stk[top].second;
            }
            stk[++top] = {a[i][j], i};
        }
        top = 0;
    }
    for(int i = 0; i < N; ++i){
        for(int j = 0; j < M; ++j){
            if(l[i][j] != -1 && r[i][j] != -1){
                row[i].push_back({l[i][j] + 1, r[i][j] - 1});
            }
            if(u[i][j] != -1 && d[i][j] != -1){
                col[j].push_back({u[i][j] + 1, d[i][j] - 1});
            }
            if(l[i][j] != -1 && r[i][j] != -1 && u[i][j] != -1 && d[i][j] != -1){
                rect.push_back({u[i][j] + 1, l[i][j] + 1, d[i][j] - 1, r[i][j] - 1});
            }
        }
    }
    for(int i = N - 1; i >= 0; --i){
        sort(row[i].begin(), row[i].end());
        row[i].erase(unique(row[i].begin(), row[i].end()), row[i].end());
        for(int j = 0; j < (int)row[i].size(); ++j){
            int pos = lower_bound(row[i + 1].begin(), row[i + 1].end(), row[i][j]) - row[i + 1].begin();
            if(pos < (int)row[i + 1].size() && row[i + 1][pos] == row[i][j]){
                rmx[i][j] = rmx[i + 1][pos];
            }
            else{
                rmx[i][j] = i;
            }
        }
    }
    for(int j = M - 1; j >= 0; --j){
        sort(col[j].begin(), col[j].end());
        col[j].erase(unique(col[j].begin(), col[j].end()), col[j].end());
        for(int i = 0; i < (int)col[j].size(); ++i){
            int pos = lower_bound(col[j + 1].begin(), col[j + 1].end(), col[j][i]) - col[j + 1].begin();
            if(pos < (int)col[j + 1].size() && col[j + 1][pos] == col[j][i]){
                cmx[j][i] = cmx[j + 1][pos];
            }
            else{
                cmx[j][i] = j;
            }
        }
    }
    sort(rect.begin(), rect.end());
    rect.erase(unique(rect.begin(), rect.end()), rect.end());
    int ans = 0;
    for(auto&sq:rect){
        int pos = lower_bound(row[sq[0]].begin(), row[sq[0]].end(), make_pair(sq[1], sq[3])) - row[sq[0]].begin();
        if(pos >= (int)row[sq[0]].size() || row[sq[0]][pos] != make_pair(sq[1], sq[3]) || rmx[sq[0]][pos] < sq[2]){
            continue;
        }
        pos = lower_bound(col[sq[1]].begin(), col[sq[1]].end(), make_pair(sq[0], sq[2])) - col[sq[1]].begin();
        if(pos >= (int)col[sq[1]].size() || col[sq[1]][pos] != make_pair(sq[0], sq[2]) || cmx[sq[1]][pos] < sq[3]){
            continue;
        }
        ++ans;
    }
	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 98656 KB Output is correct
2 Correct 56 ms 98920 KB Output is correct
3 Correct 55 ms 98916 KB Output is correct
4 Correct 55 ms 98916 KB Output is correct
5 Correct 54 ms 98660 KB Output is correct
6 Correct 58 ms 99044 KB Output is correct
7 Correct 55 ms 98788 KB Output is correct
8 Correct 54 ms 98788 KB Output is correct
9 Correct 55 ms 98916 KB Output is correct
10 Correct 56 ms 98916 KB Output is correct
11 Correct 55 ms 98916 KB Output is correct
12 Correct 55 ms 98860 KB Output is correct
13 Correct 57 ms 98660 KB Output is correct
14 Correct 56 ms 98660 KB Output is correct
15 Correct 54 ms 98660 KB Output is correct
16 Correct 54 ms 98660 KB Output is correct
17 Correct 54 ms 98660 KB Output is correct
18 Correct 54 ms 98660 KB Output is correct
19 Correct 56 ms 99048 KB Output is correct
20 Correct 54 ms 98660 KB Output is correct
21 Correct 55 ms 98660 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 98656 KB Output is correct
2 Correct 56 ms 98920 KB Output is correct
3 Correct 55 ms 98916 KB Output is correct
4 Correct 55 ms 98916 KB Output is correct
5 Correct 54 ms 98660 KB Output is correct
6 Correct 58 ms 99044 KB Output is correct
7 Correct 55 ms 98788 KB Output is correct
8 Correct 54 ms 98788 KB Output is correct
9 Correct 55 ms 98916 KB Output is correct
10 Correct 56 ms 98916 KB Output is correct
11 Correct 55 ms 98916 KB Output is correct
12 Correct 55 ms 98860 KB Output is correct
13 Correct 57 ms 98660 KB Output is correct
14 Correct 56 ms 98660 KB Output is correct
15 Correct 54 ms 98660 KB Output is correct
16 Correct 54 ms 98660 KB Output is correct
17 Correct 56 ms 99940 KB Output is correct
18 Correct 57 ms 99940 KB Output is correct
19 Correct 62 ms 99940 KB Output is correct
20 Correct 58 ms 99688 KB Output is correct
21 Correct 58 ms 99812 KB Output is correct
22 Correct 59 ms 99812 KB Output is correct
23 Correct 59 ms 99812 KB Output is correct
24 Correct 55 ms 99424 KB Output is correct
25 Correct 54 ms 98660 KB Output is correct
26 Correct 54 ms 98660 KB Output is correct
27 Correct 56 ms 99048 KB Output is correct
28 Correct 54 ms 98660 KB Output is correct
29 Correct 55 ms 98660 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 98656 KB Output is correct
2 Correct 56 ms 98920 KB Output is correct
3 Correct 55 ms 98916 KB Output is correct
4 Correct 55 ms 98916 KB Output is correct
5 Correct 54 ms 98660 KB Output is correct
6 Correct 58 ms 99044 KB Output is correct
7 Correct 55 ms 98788 KB Output is correct
8 Correct 54 ms 98788 KB Output is correct
9 Correct 55 ms 98916 KB Output is correct
10 Correct 56 ms 98916 KB Output is correct
11 Correct 55 ms 98916 KB Output is correct
12 Correct 55 ms 98860 KB Output is correct
13 Correct 57 ms 98660 KB Output is correct
14 Correct 56 ms 98660 KB Output is correct
15 Correct 54 ms 98660 KB Output is correct
16 Correct 54 ms 98660 KB Output is correct
17 Correct 56 ms 99940 KB Output is correct
18 Correct 57 ms 99940 KB Output is correct
19 Correct 62 ms 99940 KB Output is correct
20 Correct 58 ms 99688 KB Output is correct
21 Correct 58 ms 99812 KB Output is correct
22 Correct 59 ms 99812 KB Output is correct
23 Correct 59 ms 99812 KB Output is correct
24 Correct 55 ms 99424 KB Output is correct
25 Correct 71 ms 104088 KB Output is correct
26 Correct 72 ms 104088 KB Output is correct
27 Correct 73 ms 104216 KB Output is correct
28 Correct 71 ms 102812 KB Output is correct
29 Correct 83 ms 103832 KB Output is correct
30 Correct 82 ms 103956 KB Output is correct
31 Correct 81 ms 103856 KB Output is correct
32 Correct 81 ms 103832 KB Output is correct
33 Correct 54 ms 98660 KB Output is correct
34 Correct 54 ms 98660 KB Output is correct
35 Correct 56 ms 99048 KB Output is correct
36 Correct 54 ms 98660 KB Output is correct
37 Correct 55 ms 98660 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 98656 KB Output is correct
2 Correct 56 ms 98920 KB Output is correct
3 Correct 55 ms 98916 KB Output is correct
4 Correct 55 ms 98916 KB Output is correct
5 Correct 54 ms 98660 KB Output is correct
6 Correct 58 ms 99044 KB Output is correct
7 Correct 55 ms 98788 KB Output is correct
8 Correct 54 ms 98788 KB Output is correct
9 Correct 55 ms 98916 KB Output is correct
10 Correct 56 ms 98916 KB Output is correct
11 Correct 55 ms 98916 KB Output is correct
12 Correct 55 ms 98860 KB Output is correct
13 Correct 57 ms 98660 KB Output is correct
14 Correct 56 ms 98660 KB Output is correct
15 Correct 54 ms 98660 KB Output is correct
16 Correct 54 ms 98660 KB Output is correct
17 Correct 56 ms 99940 KB Output is correct
18 Correct 57 ms 99940 KB Output is correct
19 Correct 62 ms 99940 KB Output is correct
20 Correct 58 ms 99688 KB Output is correct
21 Correct 58 ms 99812 KB Output is correct
22 Correct 59 ms 99812 KB Output is correct
23 Correct 59 ms 99812 KB Output is correct
24 Correct 55 ms 99424 KB Output is correct
25 Correct 71 ms 104088 KB Output is correct
26 Correct 72 ms 104088 KB Output is correct
27 Correct 73 ms 104216 KB Output is correct
28 Correct 71 ms 102812 KB Output is correct
29 Correct 83 ms 103832 KB Output is correct
30 Correct 82 ms 103956 KB Output is correct
31 Correct 81 ms 103856 KB Output is correct
32 Correct 81 ms 103832 KB Output is correct
33 Correct 120 ms 119012 KB Output is correct
34 Correct 118 ms 119140 KB Output is correct
35 Correct 119 ms 119012 KB Output is correct
36 Correct 116 ms 118884 KB Output is correct
37 Correct 307 ms 153304 KB Output is correct
38 Correct 311 ms 153332 KB Output is correct
39 Correct 307 ms 153588 KB Output is correct
40 Correct 295 ms 150772 KB Output is correct
41 Correct 219 ms 129156 KB Output is correct
42 Correct 280 ms 134004 KB Output is correct
43 Correct 437 ms 150956 KB Output is correct
44 Correct 448 ms 152820 KB Output is correct
45 Correct 242 ms 127112 KB Output is correct
46 Correct 243 ms 126924 KB Output is correct
47 Correct 431 ms 151156 KB Output is correct
48 Correct 434 ms 152180 KB Output is correct
49 Correct 54 ms 98660 KB Output is correct
50 Correct 54 ms 98660 KB Output is correct
51 Correct 56 ms 99048 KB Output is correct
52 Correct 54 ms 98660 KB Output is correct
53 Correct 55 ms 98660 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 61 ms 109032 KB Output is correct
2 Correct 60 ms 107492 KB Output is correct
3 Correct 55 ms 98788 KB Output is correct
4 Correct 55 ms 98660 KB Output is correct
5 Correct 58 ms 102372 KB Output is correct
6 Correct 58 ms 102244 KB Output is correct
7 Correct 59 ms 102116 KB Output is correct
8 Correct 58 ms 101860 KB Output is correct
9 Correct 59 ms 101732 KB Output is correct
10 Correct 56 ms 98660 KB Output is correct
11 Correct 55 ms 98788 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 98660 KB Output is correct
2 Correct 1146 ms 254280 KB Output is correct
3 Correct 2458 ms 432240 KB Output is correct
4 Correct 2471 ms 433476 KB Output is correct
5 Correct 2480 ms 433456 KB Output is correct
6 Correct 219 ms 128996 KB Output is correct
7 Correct 378 ms 156260 KB Output is correct
8 Correct 399 ms 159972 KB Output is correct
9 Correct 54 ms 98660 KB Output is correct
10 Correct 54 ms 98660 KB Output is correct
11 Correct 56 ms 99048 KB Output is correct
12 Correct 54 ms 98660 KB Output is correct
13 Correct 55 ms 98660 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 98656 KB Output is correct
2 Correct 56 ms 98920 KB Output is correct
3 Correct 55 ms 98916 KB Output is correct
4 Correct 55 ms 98916 KB Output is correct
5 Correct 54 ms 98660 KB Output is correct
6 Correct 58 ms 99044 KB Output is correct
7 Correct 55 ms 98788 KB Output is correct
8 Correct 54 ms 98788 KB Output is correct
9 Correct 55 ms 98916 KB Output is correct
10 Correct 56 ms 98916 KB Output is correct
11 Correct 55 ms 98916 KB Output is correct
12 Correct 55 ms 98860 KB Output is correct
13 Correct 57 ms 98660 KB Output is correct
14 Correct 56 ms 98660 KB Output is correct
15 Correct 54 ms 98660 KB Output is correct
16 Correct 54 ms 98660 KB Output is correct
17 Correct 56 ms 99940 KB Output is correct
18 Correct 57 ms 99940 KB Output is correct
19 Correct 62 ms 99940 KB Output is correct
20 Correct 58 ms 99688 KB Output is correct
21 Correct 58 ms 99812 KB Output is correct
22 Correct 59 ms 99812 KB Output is correct
23 Correct 59 ms 99812 KB Output is correct
24 Correct 55 ms 99424 KB Output is correct
25 Correct 71 ms 104088 KB Output is correct
26 Correct 72 ms 104088 KB Output is correct
27 Correct 73 ms 104216 KB Output is correct
28 Correct 71 ms 102812 KB Output is correct
29 Correct 83 ms 103832 KB Output is correct
30 Correct 82 ms 103956 KB Output is correct
31 Correct 81 ms 103856 KB Output is correct
32 Correct 81 ms 103832 KB Output is correct
33 Correct 120 ms 119012 KB Output is correct
34 Correct 118 ms 119140 KB Output is correct
35 Correct 119 ms 119012 KB Output is correct
36 Correct 116 ms 118884 KB Output is correct
37 Correct 307 ms 153304 KB Output is correct
38 Correct 311 ms 153332 KB Output is correct
39 Correct 307 ms 153588 KB Output is correct
40 Correct 295 ms 150772 KB Output is correct
41 Correct 219 ms 129156 KB Output is correct
42 Correct 280 ms 134004 KB Output is correct
43 Correct 437 ms 150956 KB Output is correct
44 Correct 448 ms 152820 KB Output is correct
45 Correct 242 ms 127112 KB Output is correct
46 Correct 243 ms 126924 KB Output is correct
47 Correct 431 ms 151156 KB Output is correct
48 Correct 434 ms 152180 KB Output is correct
49 Correct 61 ms 109032 KB Output is correct
50 Correct 60 ms 107492 KB Output is correct
51 Correct 55 ms 98788 KB Output is correct
52 Correct 55 ms 98660 KB Output is correct
53 Correct 58 ms 102372 KB Output is correct
54 Correct 58 ms 102244 KB Output is correct
55 Correct 59 ms 102116 KB Output is correct
56 Correct 58 ms 101860 KB Output is correct
57 Correct 59 ms 101732 KB Output is correct
58 Correct 56 ms 98660 KB Output is correct
59 Correct 55 ms 98788 KB Output is correct
60 Correct 55 ms 98660 KB Output is correct
61 Correct 1146 ms 254280 KB Output is correct
62 Correct 2458 ms 432240 KB Output is correct
63 Correct 2471 ms 433476 KB Output is correct
64 Correct 2480 ms 433456 KB Output is correct
65 Correct 219 ms 128996 KB Output is correct
66 Correct 378 ms 156260 KB Output is correct
67 Correct 399 ms 159972 KB Output is correct
68 Correct 1049 ms 263724 KB Output is correct
69 Correct 1018 ms 263780 KB Output is correct
70 Correct 999 ms 262756 KB Output is correct
71 Correct 963 ms 262096 KB Output is correct
72 Correct 4058 ms 677260 KB Output is correct
73 Correct 3417 ms 458180 KB Output is correct
74 Correct 3525 ms 469656 KB Output is correct
75 Execution timed out 5071 ms 665220 KB Time limit exceeded
76 Halted 0 ms 0 KB -