oj.uz

Submission #580426

# Submission time Handle Problem Language Result Execution time Memory
580426 2022-06-21T08:37:05 Z SlavicG Rectangles (IOI19_rect) C++17
100 / 100
 3170 ms 781056 KB 
#include "rect.h"
#include "bits/stdc++.h"

#define pb push_back
#define all(a) a.begin(),a.end()
using namespace std;
using ll = long long;

struct event {
    int time, val, type;
};

bool cmp(event a, event b) {
    if(a.time > b.time) return 1;
    if(a.time < b.time) return 0;
    return a.type < b.type;
}

const int N = 3000;
ll fen[N];
void modif(int u, int val) {
    for(int i = u + 1; i < N; i += i & -i) fen[i] += val;
}
ll query(int u) {
    ll ret = 0;
    for(int i = u + 1; i > 0; i -= i & -i) ret += fen[i];
    return ret;
}
long long count_rectangles(std::vector<std::vector<int>> a) {
    int n = a.size(), m = a[0].size();
    vector<pair<int, int>> right[n + 1][m + 1], down[n + 1][m + 1];
    for(int i = 0; i < n; ++i) {
        stack<int> s;
        for(int j = m - 1; j >= 0; --j) {
            while(!s.empty() && a[i][j] > a[i][s.top()]) {
                if(j + 1 <= s.top() - 1) {
                    right[i][j + 1].pb(make_pair(s.top() - 1 - j, 1));
                }
                s.pop();
            }
            if(!s.empty()) {
                if(j + 1 <= s.top() - 1) {
                    right[i][j + 1].pb(make_pair(s.top() - 1 - j, 1));
                }
                if(a[i][s.top()] == a[i][j]) s.pop();
            }
            s.push(j);
        }
    }

    for(int i = 0; i < m; ++i) {
        stack<int> s;
        for(int j = n - 1; j >= 0; --j) {
            while(!s.empty() && a[j][i] > a[s.top()][i]) {
                if(j + 1 <= s.top() - 1) {
                    down[j + 1][i].pb(make_pair(s.top() - 1 - j, 1));
                }
                s.pop();
            }

            if(!s.empty()) {
                if(j + 1 <= s.top() - 1) {
                    down[j + 1][i].pb(make_pair(s.top() - 1 - j, 1));
                }
                if(a[s.top()][i] == a[j][i]) s.pop();
            }
            s.push(j);
        }
    }

    for(int i = n - 1; i >= 0; --i) {
        for(int j = m - 1; j >=0; --j) {
            for(auto& p: right[i][j]) {
                auto it = lower_bound(all(right[i + 1][j]), p);
                if(it != right[i + 1][j].end() && it->first == p.first) {
                    p.second = it->second + 1;
                }
            }
            for(auto& p: down[i][j]) {
                auto it = lower_bound(all(down[i][j + 1]), p);
                if(it != down[i][j + 1].end() && it->first == p.first) {
                    p.second = it->second + 1;
                }
            }
        }
    }
    ll ans = 0;
    for(int i = 1; i < n - 1; ++i) {
        for(int j = 1; j < m - 1; ++j) {
            vector<event> v;
            for(auto& p: down[i][j]) {
                v.pb({p.second, p.first, 1});
            }
            for(auto& p: right[i][j]) {
                v.pb({p.first, p.second, 2});
            }
            sort(all(v), cmp);
            for(auto x: v) {
                if(x.type == 1) {
                    modif(x.val, 1);
                } else {
                    ans += query(x.val);
                }
            }
            for(auto x: v) if(x.type == 1) modif(x.val, -1);
        }
    }
    return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 328 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 300 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 300 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 304 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 328 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 300 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 300 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 304 KB Output is correct
22 Correct 3 ms 996 KB Output is correct
23 Correct 3 ms 1108 KB Output is correct
24 Correct 2 ms 980 KB Output is correct
25 Correct 2 ms 724 KB Output is correct
26 Correct 3 ms 824 KB Output is correct
27 Correct 3 ms 852 KB Output is correct
28 Correct 4 ms 852 KB Output is correct
29 Correct 2 ms 596 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 328 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 300 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 300 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 3 ms 996 KB Output is correct
18 Correct 3 ms 1108 KB Output is correct
19 Correct 2 ms 980 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 3 ms 824 KB Output is correct
22 Correct 3 ms 852 KB Output is correct
23 Correct 4 ms 852 KB Output is correct
24 Correct 2 ms 596 KB Output is correct
25 Correct 1 ms 324 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 304 KB Output is correct
30 Correct 13 ms 5168 KB Output is correct
31 Correct 13 ms 5192 KB Output is correct
32 Correct 15 ms 5240 KB Output is correct
33 Correct 9 ms 3356 KB Output is correct
34 Correct 16 ms 4116 KB Output is correct
35 Correct 15 ms 4180 KB Output is correct
36 Correct 15 ms 4104 KB Output is correct
37 Correct 15 ms 4052 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 328 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 300 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 300 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 3 ms 996 KB Output is correct
18 Correct 3 ms 1108 KB Output is correct
19 Correct 2 ms 980 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 3 ms 824 KB Output is correct
22 Correct 3 ms 852 KB Output is correct
23 Correct 4 ms 852 KB Output is correct
24 Correct 2 ms 596 KB Output is correct
25 Correct 13 ms 5168 KB Output is correct
26 Correct 13 ms 5192 KB Output is correct
27 Correct 15 ms 5240 KB Output is correct
28 Correct 9 ms 3356 KB Output is correct
29 Correct 16 ms 4116 KB Output is correct
30 Correct 15 ms 4180 KB Output is correct
31 Correct 15 ms 4104 KB Output is correct
32 Correct 15 ms 4052 KB Output is correct
33 Correct 1 ms 324 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 304 KB Output is correct
38 Correct 105 ms 45684 KB Output is correct
39 Correct 101 ms 40856 KB Output is correct
40 Correct 89 ms 40940 KB Output is correct
41 Correct 70 ms 36128 KB Output is correct
42 Correct 166 ms 61180 KB Output is correct
43 Correct 176 ms 61020 KB Output is correct
44 Correct 161 ms 61344 KB Output is correct
45 Correct 144 ms 57520 KB Output is correct
46 Correct 82 ms 35788 KB Output is correct
47 Correct 105 ms 38396 KB Output is correct
48 Correct 193 ms 47024 KB Output is correct
49 Correct 208 ms 48972 KB Output is correct
50 Correct 103 ms 24660 KB Output is correct
51 Correct 99 ms 24756 KB Output is correct
52 Correct 205 ms 46604 KB Output is correct
53 Correct 209 ms 47616 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1208 KB Output is correct
2 Correct 2 ms 980 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 4 ms 980 KB Output is correct
6 Correct 2 ms 980 KB Output is correct
7 Correct 2 ms 980 KB Output is correct
8 Correct 3 ms 1032 KB Output is correct
9 Correct 2 ms 1036 KB Output is correct
10 Correct 1 ms 596 KB Output is correct
11 Correct 2 ms 696 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 304 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 559 ms 207996 KB Output is correct
8 Correct 1235 ms 450664 KB Output is correct
9 Correct 1240 ms 452956 KB Output is correct
10 Correct 1215 ms 453168 KB Output is correct
11 Correct 175 ms 175724 KB Output is correct
12 Correct 337 ms 333316 KB Output is correct
13 Correct 370 ms 355276 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 328 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 300 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 300 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 3 ms 996 KB Output is correct
18 Correct 3 ms 1108 KB Output is correct
19 Correct 2 ms 980 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 3 ms 824 KB Output is correct
22 Correct 3 ms 852 KB Output is correct
23 Correct 4 ms 852 KB Output is correct
24 Correct 2 ms 596 KB Output is correct
25 Correct 13 ms 5168 KB Output is correct
26 Correct 13 ms 5192 KB Output is correct
27 Correct 15 ms 5240 KB Output is correct
28 Correct 9 ms 3356 KB Output is correct
29 Correct 16 ms 4116 KB Output is correct
30 Correct 15 ms 4180 KB Output is correct
31 Correct 15 ms 4104 KB Output is correct
32 Correct 15 ms 4052 KB Output is correct
33 Correct 105 ms 45684 KB Output is correct
34 Correct 101 ms 40856 KB Output is correct
35 Correct 89 ms 40940 KB Output is correct
36 Correct 70 ms 36128 KB Output is correct
37 Correct 166 ms 61180 KB Output is correct
38 Correct 176 ms 61020 KB Output is correct
39 Correct 161 ms 61344 KB Output is correct
40 Correct 144 ms 57520 KB Output is correct
41 Correct 82 ms 35788 KB Output is correct
42 Correct 105 ms 38396 KB Output is correct
43 Correct 193 ms 47024 KB Output is correct
44 Correct 208 ms 48972 KB Output is correct
45 Correct 103 ms 24660 KB Output is correct
46 Correct 99 ms 24756 KB Output is correct
47 Correct 205 ms 46604 KB Output is correct
48 Correct 209 ms 47616 KB Output is correct
49 Correct 3 ms 1208 KB Output is correct
50 Correct 2 ms 980 KB Output is correct
51 Correct 1 ms 724 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 4 ms 980 KB Output is correct
54 Correct 2 ms 980 KB Output is correct
55 Correct 2 ms 980 KB Output is correct
56 Correct 3 ms 1032 KB Output is correct
57 Correct 2 ms 1036 KB Output is correct
58 Correct 1 ms 596 KB Output is correct
59 Correct 2 ms 696 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 559 ms 207996 KB Output is correct
62 Correct 1235 ms 450664 KB Output is correct
63 Correct 1240 ms 452956 KB Output is correct
64 Correct 1215 ms 453168 KB Output is correct
65 Correct 175 ms 175724 KB Output is correct
66 Correct 337 ms 333316 KB Output is correct
67 Correct 370 ms 355276 KB Output is correct
68 Correct 1 ms 324 KB Output is correct
69 Correct 1 ms 212 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 1 ms 340 KB Output is correct
72 Correct 1 ms 304 KB Output is correct
73 Correct 1659 ms 565268 KB Output is correct
74 Correct 1548 ms 498232 KB Output is correct
75 Correct 1076 ms 498184 KB Output is correct
76 Correct 928 ms 431524 KB Output is correct
77 Correct 2865 ms 760776 KB Output is correct
78 Correct 1702 ms 358212 KB Output is correct
79 Correct 1734 ms 385940 KB Output is correct
80 Correct 2805 ms 597020 KB Output is correct
81 Correct 1746 ms 374464 KB Output is correct
82 Correct 2319 ms 499424 KB Output is correct
83 Correct 2918 ms 604940 KB Output is correct
84 Correct 1595 ms 356636 KB Output is correct
85 Correct 2914 ms 607864 KB Output is correct
86 Correct 2699 ms 574540 KB Output is correct
87 Correct 1602 ms 469668 KB Output is correct
88 Correct 3102 ms 781056 KB Output is correct
89 Correct 2945 ms 781036 KB Output is correct
90 Correct 3170 ms 780708 KB Output is correct