oj.uz

Submission #1032402

# Submission time Handle Problem Language Result Execution time Memory
1032402 2024-07-23T17:00:36 Z shmax Rectangles (IOI19_rect) C++14
37 / 100
 5000 ms 882388 KB 
#include "rect.h"
#include <bits/stdc++.h>

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,bmi,bmi2")

using namespace std;
using i32 = int;
//#define int long long
#define len(x) (int)(x.size())
#define inf 1000'000'000'000'000'000LL
#define all(x) x.begin(), x.end()
#define low_bit(x) (x & (-x))

template<typename T>
using vec = vector<T>;

const int maxM = 701;

template<typename it>
struct SparseTable {

    using T = typename remove_reference<decltype(*declval<it>())>::type;
    vector<vector<T>> t;
    function<T(T, T)> f;
    vector<int> log;

    SparseTable() = default;

    SparseTable(it first, it last, function<T(T, T)> op) : t(1), f(op) {
        int n = distance(first, last);
        t.assign(32 - __builtin_clz(n), vector<T>(n));
        t[0].assign(first, last);
        //       calc log
        log.resize(n + 1);
        for (int i = 2; i <= n; i++)
            log[i] = log[i / 2] + 1;

        for (int i = 1; i < t.size(); i++)
            for (int j = 0; j < n - (1 << i) + 1; j++)
                t[i][j] = f(t[i - 1][j], t[i - 1][j + (1 << (i - 1))]);
    }

    // returns f(a[l..r]) in O(1) time
    T get(int l, int r) {
        int h = log[r - l + 1];
        return f(t[h][l], t[h][r - (1 << h) + 1]);
    }
};

long long count_rectangles(std::vector<std::vector<i32>> a) {
    int n = len(a);
    int m = len(a[0]);
    long long ans = 0;
    vec<vec<bitset<maxM>>> b(n, vec<bitset<maxM>>(m));
    for (int i = 1; i < n - 1; i++) {
        for (int j = 1; j < m - 1; j++) {
            b[i][j].reset();
            int mx = a[i][j];
            for (int l = i; l < n - 1; l++) {
                mx = max(mx, a[l][j]);
                if (mx >= min(a[i - 1][j], a[l + 1][j])) continue;
                b[i][j][l] = true;
            }

        }
    }

    vec<vec<bitset<maxM>>> good(m, vec<bitset<maxM>>(m));

    vec<SparseTable<vec<int>::iterator>> maxVal;
    for (int i = 0; i < n; i++) {
        maxVal.emplace_back(all(a[i]), [](int a, int b) {
            return max(a, b);
        });
    }
    for (int l = 1; l < m - 1; l++) {
        for (int r = l; r < m - 1; r++) {
            for (int i = 0; i < n; i++) {
                good[l][r][i] = maxVal[i].get(l, r) < min(a[i][l - 1], a[i][r + 1]);
            }
        }
    }
    vec<vec<vec<short>>> lowest(m, vec<vec<short>>(m, vec<short>(n, 0)));
    for (int l = 1; l < m - 1; l++) {
        for (int r = l; r < m - 1; r++) {
            for (int i = n - 2; i >= 1; i--) {
                if (!good[l][r][i]) continue;
                lowest[l][r][i] = lowest[l][r][i + 1] + 1;
            }
        }
    }
    for (int i = 1; i < n - 1; i++) {
        for (int j = 1; j < m - 1; j++) {
            if (a[i][j] >= a[i - 1][j]) continue;
            if (a[i][j] >= a[i][j - 1]) continue;
            for (int k = j; k < m - 1; k++) {
                b[i][j] &= b[i][k];
                if(b[i][j].count() == 0) break;
                ans += (b[i][j] &
                        ((good[j][k] << (maxM - i - lowest[j][k][i])) >> (maxM - i - lowest[j][k][i]))).count();
            }
        }
    }

    return ans;
}

Compilation message

rect.cpp: In instantiation of 'SparseTable<it>::SparseTable(it, it, std::function<typename std::remove_reference<decltype (* declval<it>())>::type(typename std::remove_reference<decltype (* declval<it>())>::type, typename std::remove_reference<decltype (* declval<it>())>::type)>) [with it = __gnu_cxx::__normal_iterator<int*, std::vector<int> >; typename std::remove_reference<decltype (* declval<it>())>::type = int]':
/usr/include/c++/10/ext/new_allocator.h:150:4:   required from 'void __gnu_cxx::new_allocator<_Tp>::construct(_Up*, _Args&& ...) [with _Up = SparseTable<__gnu_cxx::__normal_iterator<int*, std::vector<int> > >; _Args = {__gnu_cxx::__normal_iterator<int*, std::vector<int, std::allocator<int> > >, __gnu_cxx::__normal_iterator<int*, std::vector<int, std::allocator<int> > >, count_rectangles(std::vector<std::vector<int> >)::<lambda(int, int)>}; _Tp = SparseTable<__gnu_cxx::__normal_iterator<int*, std::vector<int> > >]'
/usr/include/c++/10/bits/alloc_traits.h:512:17:   required from 'static void std::allocator_traits<std::allocator<_Tp1> >::construct(std::allocator_traits<std::allocator<_Tp1> >::allocator_type&, _Up*, _Args&& ...) [with _Up = SparseTable<__gnu_cxx::__normal_iterator<int*, std::vector<int> > >; _Args = {__gnu_cxx::__normal_iterator<int*, std::vector<int, std::allocator<int> > >, __gnu_cxx::__normal_iterator<int*, std::vector<int, std::allocator<int> > >, count_rectangles(std::vector<std::vector<int> >)::<lambda(int, int)>}; _Tp = SparseTable<__gnu_cxx::__normal_iterator<int*, std::vector<int> > >; std::allocator_traits<std::allocator<_Tp1> >::allocator_type = std::allocator<SparseTable<__gnu_cxx::__normal_iterator<int*, std::vector<int> > > >]'
/usr/include/c++/10/bits/vector.tcc:115:30:   required from 'void std::vector<_Tp, _Alloc>::emplace_back(_Args&& ...) [with _Args = {__gnu_cxx::__normal_iterator<int*, std::vector<int, std::allocator<int> > >, __gnu_cxx::__normal_iterator<int*, std::vector<int, std::allocator<int> > >, count_rectangles(std::vector<std::vector<int> >)::<lambda(int, int)>}; _Tp = SparseTable<__gnu_cxx::__normal_iterator<int*, std::vector<int> > >; _Alloc = std::allocator<SparseTable<__gnu_cxx::__normal_iterator<int*, std::vector<int> > > >]'
rect.cpp:76:10:   required from here
rect.cpp:40:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |         for (int i = 1; i < t.size(); i++)
      |                         ~~^~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 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 604 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 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 604 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 18 ms 2908 KB Output is correct
23 Correct 17 ms 2908 KB Output is correct
24 Correct 18 ms 2904 KB Output is correct
25 Correct 5 ms 2908 KB Output is correct
26 Correct 4 ms 2908 KB Output is correct
27 Correct 5 ms 2828 KB Output is correct
28 Correct 5 ms 2904 KB Output is correct
29 Correct 2 ms 1116 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 18 ms 2908 KB Output is correct
18 Correct 17 ms 2908 KB Output is correct
19 Correct 18 ms 2904 KB Output is correct
20 Correct 5 ms 2908 KB Output is correct
21 Correct 4 ms 2908 KB Output is correct
22 Correct 5 ms 2828 KB Output is correct
23 Correct 5 ms 2904 KB Output is correct
24 Correct 2 ms 1116 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 604 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 244 ms 26288 KB Output is correct
31 Correct 242 ms 26448 KB Output is correct
32 Correct 232 ms 26304 KB Output is correct
33 Correct 55 ms 26448 KB Output is correct
34 Correct 58 ms 26260 KB Output is correct
35 Correct 58 ms 26448 KB Output is correct
36 Correct 57 ms 26448 KB Output is correct
37 Correct 57 ms 25936 KB Output is correct

Subtask #4
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 18 ms 2908 KB Output is correct
18 Correct 17 ms 2908 KB Output is correct
19 Correct 18 ms 2904 KB Output is correct
20 Correct 5 ms 2908 KB Output is correct
21 Correct 4 ms 2908 KB Output is correct
22 Correct 5 ms 2828 KB Output is correct
23 Correct 5 ms 2904 KB Output is correct
24 Correct 2 ms 1116 KB Output is correct
25 Correct 244 ms 26288 KB Output is correct
26 Correct 242 ms 26448 KB Output is correct
27 Correct 232 ms 26304 KB Output is correct
28 Correct 55 ms 26448 KB Output is correct
29 Correct 58 ms 26260 KB Output is correct
30 Correct 58 ms 26448 KB Output is correct
31 Correct 57 ms 26448 KB Output is correct
32 Correct 57 ms 25936 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 604 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 2906 ms 797552 KB Output is correct
39 Correct 2917 ms 797548 KB Output is correct
40 Correct 3035 ms 797556 KB Output is correct
41 Correct 2714 ms 797756 KB Output is correct
42 Execution timed out 5084 ms 797696 KB Time limit exceeded
43 Halted 0 ms 0 KB -

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 651 ms 882296 KB Output is correct
2 Correct 487 ms 636492 KB Output is correct
3 Correct 502 ms 882296 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 519 ms 882300 KB Output is correct
6 Correct 502 ms 882244 KB Output is correct
7 Correct 487 ms 882384 KB Output is correct
8 Correct 492 ms 882332 KB Output is correct
9 Correct 499 ms 882388 KB Output is correct
10 Correct 452 ms 881532 KB Output is correct
11 Correct 467 ms 882096 KB Output is correct

Subtask #6
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 604 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Execution timed out 5119 ms 880540 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 600 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 18 ms 2908 KB Output is correct
18 Correct 17 ms 2908 KB Output is correct
19 Correct 18 ms 2904 KB Output is correct
20 Correct 5 ms 2908 KB Output is correct
21 Correct 4 ms 2908 KB Output is correct
22 Correct 5 ms 2828 KB Output is correct
23 Correct 5 ms 2904 KB Output is correct
24 Correct 2 ms 1116 KB Output is correct
25 Correct 244 ms 26288 KB Output is correct
26 Correct 242 ms 26448 KB Output is correct
27 Correct 232 ms 26304 KB Output is correct
28 Correct 55 ms 26448 KB Output is correct
29 Correct 58 ms 26260 KB Output is correct
30 Correct 58 ms 26448 KB Output is correct
31 Correct 57 ms 26448 KB Output is correct
32 Correct 57 ms 25936 KB Output is correct
33 Correct 2906 ms 797552 KB Output is correct
34 Correct 2917 ms 797548 KB Output is correct
35 Correct 3035 ms 797556 KB Output is correct
36 Correct 2714 ms 797756 KB Output is correct
37 Execution timed out 5084 ms 797696 KB Time limit exceeded
38 Halted 0 ms 0 KB -