oj.uz

Submission #1028817

# Submission time Handle Problem Language Result Execution time Memory
1028817 2024-07-20T09:09:18 Z onbert Rectangles (IOI19_rect) C++17
72 / 100
 5000 ms 1035780 KB 
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
#define ss short
#define ll long long
struct range {
    ss r, mx;
};
bool cmp0(range &a, range &b) {return a.r > b.r;}
bool cmp1(range &a, range &b) {return a.mx > b.mx;}
const int maxn = 2505, INF = 2505;
int n, m;
vector<vector<vector<pair<ss,ss>>>> pos[2];
vector<vector<vector<range>>> start[2];

int fen[maxn];
void update(int id, int val) {
    while (id<maxn) {
        fen[id] += val;
        id += (id & -id);
    }
}
int qry(int id) {
    int val = 0;
    while (id >= 1) {
        val += fen[id];
        id -= (id & -id);
    }
    return val;
}

long long count_rectangles(vector<vector<int32_t>> a) {
	n = a.size(), m = a[0].size();
    pos[0].resize(m);
    for (int i=0;i<m;i++) pos[0][i].resize(m - i);
    pos[1].resize(n);
    for (int i=0;i<n;i++) pos[1][i].resize(n - i);
    start[0].resize(n); start[1].resize(n);
    for (int i=0;i<n;i++) start[0][i].resize(m), start[1][i].resize(m);
    vector<pair<int,int>> cur;
    vector<int> temp;
    set<int> s;
    for (int i=0;i<n;i++) {
        cur.clear();
        for (int j=0;j<m;j++) cur.push_back({a[i][j], j});
        sort(cur.rbegin(), cur.rend());
        s.clear(); s.insert(-1); s.insert(INF);
        temp.clear();
        for (int j=0;j<m;j++) {
            auto [val, id] = cur[j];
            if (j>0 && val!=cur[j-1].first) {
                for (int x:temp) s.insert(x);
                temp.clear();
            }
            auto it = s.upper_bound(id);
            ss l = *prev(it), r = *it;
            if (l!=-1 && r!=INF) {
                l++, r--;
                if (pos[0][l][r-l].size()==0 || pos[0][l][r-l].back().first!=i) {
                    pos[0][l][r-l].push_back({i, -1});
                    start[0][i][l].push_back({r, -1});
                }
            }
            temp.push_back(id);
        }
    }

    for (int j=0;j<m;j++) {
        cur.clear();
        for (int i=0;i<n;i++) cur.push_back({a[i][j], i});
        sort(cur.rbegin(), cur.rend());
        s.clear(); s.insert(-1); s.insert(INF);
        temp.clear();
        for (int i=0;i<n;i++) {
            auto [val, id] = cur[i];
            if (i>0 && val!=cur[i-1].first) {
                for (int x:temp) s.insert(x);
                temp.clear();
            }
            auto it = s.upper_bound(id);
            ss l = *prev(it), r = *it;
            if (l!=-1 && r!=INF) {
                l++, r--;
                if (pos[1][l][r-l].size()==0 || pos[1][l][r-l].back().first!=j) {
                    pos[1][l][r-l].push_back({j, -1});
                    start[1][l][j].push_back({r, -1});
                }
            }
            temp.push_back(id);
        }
    }

    for (int I=0;I<=1;I++) {
        int nn = m;
        if (I==1) nn = n;
        for (int l=0;l<nn;l++) for (int r=l;r<nn;r++) {
            sort(pos[I][l][r-l].begin(), pos[I][l][r-l].end());
            int sz = pos[I][l][r-l].size();
            for (int i=sz-1;i>=0;i--) {
                if (i==sz-1 || pos[I][l][r-l][i+1].first!=pos[I][l][r-l][i].first+1) pos[I][l][r-l][i].second = pos[I][l][r-l][i].first;
                else pos[I][l][r-l][i].second = pos[I][l][r-l][i+1].second;
            }
        }
    }
    for (int I=0;I<=1;I++) {
        for (int i=0;i<n;i++) for (int j=0;j<m;j++) {
            for (auto &[r, mx]:start[I][i][j]) {
                ss x = j, y = i;
                if (I==1) x = i, y = j;
                mx = (*lower_bound(pos[I][x][r-x].begin(), pos[I][x][r-x].end(), make_pair(y, (ss)-1))).second;
            }
        }
    }
    ll ans = 0;
    vector<int> LOG;
    for (int i=0;i<n;i++) for (int j=0;j<m;j++) {
        sort(start[0][i][j].begin(), start[0][i][j].end(), cmp0);
        sort(start[1][i][j].begin(), start[1][i][j].end(), cmp1);
        int pt = -1;
        LOG.clear();
        for (auto [r, mx]:start[0][i][j]) {
            while (pt+1 < start[1][i][j].size() && start[1][i][j][pt+1].mx >= r) {
                pt++;
                update(start[1][i][j][pt].r, 1);
                LOG.push_back(start[1][i][j][pt].r);
            }
            ans += qry(mx);
        }
        for (int x:LOG) update(x, -1);
    }
    return ans;
}

Compilation message

rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:122:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<range>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  122 |             while (pt+1 < start[1][i][j].size() && start[1][i][j][pt+1].mx >= r) {
      |                    ~~~~~^~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 436 KB Output is correct
21 Correct 0 ms 348 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 436 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 3 ms 1372 KB Output is correct
23 Correct 3 ms 1428 KB Output is correct
24 Correct 3 ms 1372 KB Output is correct
25 Correct 3 ms 1116 KB Output is correct
26 Correct 4 ms 1116 KB Output is correct
27 Correct 4 ms 1112 KB Output is correct
28 Correct 4 ms 1116 KB Output is correct
29 Correct 2 ms 860 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 3 ms 1372 KB Output is correct
18 Correct 3 ms 1428 KB Output is correct
19 Correct 3 ms 1372 KB Output is correct
20 Correct 3 ms 1116 KB Output is correct
21 Correct 4 ms 1116 KB Output is correct
22 Correct 4 ms 1112 KB Output is correct
23 Correct 4 ms 1116 KB Output is correct
24 Correct 2 ms 860 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 0 ms 436 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 17 ms 6748 KB Output is correct
31 Correct 18 ms 6744 KB Output is correct
32 Correct 17 ms 6748 KB Output is correct
33 Correct 17 ms 4700 KB Output is correct
34 Correct 28 ms 5456 KB Output is correct
35 Correct 28 ms 5716 KB Output is correct
36 Correct 27 ms 5408 KB Output is correct
37 Correct 26 ms 5468 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 3 ms 1372 KB Output is correct
18 Correct 3 ms 1428 KB Output is correct
19 Correct 3 ms 1372 KB Output is correct
20 Correct 3 ms 1116 KB Output is correct
21 Correct 4 ms 1116 KB Output is correct
22 Correct 4 ms 1112 KB Output is correct
23 Correct 4 ms 1116 KB Output is correct
24 Correct 2 ms 860 KB Output is correct
25 Correct 17 ms 6748 KB Output is correct
26 Correct 18 ms 6744 KB Output is correct
27 Correct 17 ms 6748 KB Output is correct
28 Correct 17 ms 4700 KB Output is correct
29 Correct 28 ms 5456 KB Output is correct
30 Correct 28 ms 5716 KB Output is correct
31 Correct 27 ms 5408 KB Output is correct
32 Correct 26 ms 5468 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 0 ms 436 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 224 ms 73144 KB Output is correct
39 Correct 223 ms 67412 KB Output is correct
40 Correct 215 ms 67408 KB Output is correct
41 Correct 197 ms 61780 KB Output is correct
42 Correct 264 ms 78672 KB Output is correct
43 Correct 255 ms 78932 KB Output is correct
44 Correct 253 ms 79036 KB Output is correct
45 Correct 247 ms 74508 KB Output is correct
46 Correct 175 ms 48976 KB Output is correct
47 Correct 241 ms 52564 KB Output is correct
48 Correct 464 ms 63148 KB Output is correct
49 Correct 479 ms 65192 KB Output is correct
50 Correct 183 ms 34388 KB Output is correct
51 Correct 189 ms 34256 KB Output is correct
52 Correct 421 ms 62208 KB Output is correct
53 Correct 403 ms 63568 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 75096 KB Output is correct
2 Correct 28 ms 54108 KB Output is correct
3 Correct 38 ms 74328 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 43 ms 74836 KB Output is correct
6 Correct 41 ms 74840 KB Output is correct
7 Correct 42 ms 74840 KB Output is correct
8 Correct 39 ms 74832 KB Output is correct
9 Correct 40 ms 74740 KB Output is correct
10 Correct 39 ms 74256 KB Output is correct
11 Correct 41 ms 74584 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 436 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1150 ms 299432 KB Output is correct
8 Correct 2548 ms 618200 KB Output is correct
9 Correct 2549 ms 620808 KB Output is correct
10 Correct 2557 ms 621184 KB Output is correct
11 Correct 265 ms 267116 KB Output is correct
12 Correct 485 ms 471632 KB Output is correct
13 Correct 501 ms 502352 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 3 ms 1372 KB Output is correct
18 Correct 3 ms 1428 KB Output is correct
19 Correct 3 ms 1372 KB Output is correct
20 Correct 3 ms 1116 KB Output is correct
21 Correct 4 ms 1116 KB Output is correct
22 Correct 4 ms 1112 KB Output is correct
23 Correct 4 ms 1116 KB Output is correct
24 Correct 2 ms 860 KB Output is correct
25 Correct 17 ms 6748 KB Output is correct
26 Correct 18 ms 6744 KB Output is correct
27 Correct 17 ms 6748 KB Output is correct
28 Correct 17 ms 4700 KB Output is correct
29 Correct 28 ms 5456 KB Output is correct
30 Correct 28 ms 5716 KB Output is correct
31 Correct 27 ms 5408 KB Output is correct
32 Correct 26 ms 5468 KB Output is correct
33 Correct 224 ms 73144 KB Output is correct
34 Correct 223 ms 67412 KB Output is correct
35 Correct 215 ms 67408 KB Output is correct
36 Correct 197 ms 61780 KB Output is correct
37 Correct 264 ms 78672 KB Output is correct
38 Correct 255 ms 78932 KB Output is correct
39 Correct 253 ms 79036 KB Output is correct
40 Correct 247 ms 74508 KB Output is correct
41 Correct 175 ms 48976 KB Output is correct
42 Correct 241 ms 52564 KB Output is correct
43 Correct 464 ms 63148 KB Output is correct
44 Correct 479 ms 65192 KB Output is correct
45 Correct 183 ms 34388 KB Output is correct
46 Correct 189 ms 34256 KB Output is correct
47 Correct 421 ms 62208 KB Output is correct
48 Correct 403 ms 63568 KB Output is correct
49 Correct 38 ms 75096 KB Output is correct
50 Correct 28 ms 54108 KB Output is correct
51 Correct 38 ms 74328 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 43 ms 74836 KB Output is correct
54 Correct 41 ms 74840 KB Output is correct
55 Correct 42 ms 74840 KB Output is correct
56 Correct 39 ms 74832 KB Output is correct
57 Correct 40 ms 74740 KB Output is correct
58 Correct 39 ms 74256 KB Output is correct
59 Correct 41 ms 74584 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 1150 ms 299432 KB Output is correct
62 Correct 2548 ms 618200 KB Output is correct
63 Correct 2549 ms 620808 KB Output is correct
64 Correct 2557 ms 621184 KB Output is correct
65 Correct 265 ms 267116 KB Output is correct
66 Correct 485 ms 471632 KB Output is correct
67 Correct 501 ms 502352 KB Output is correct
68 Correct 0 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 1 ms 344 KB Output is correct
71 Correct 0 ms 436 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 3618 ms 952872 KB Output is correct
74 Correct 3723 ms 879580 KB Output is correct
75 Correct 3291 ms 879656 KB Output is correct
76 Correct 2565 ms 805540 KB Output is correct
77 Correct 4950 ms 1035780 KB Output is correct
78 Correct 4165 ms 491868 KB Output is correct
79 Correct 4551 ms 532316 KB Output is correct
80 Execution timed out 5044 ms 797012 KB Time limit exceeded
81 Halted 0 ms 0 KB -