oj.uz

Submission #1032397

# Submission time Handle Problem Language Result Execution time Memory
1032397 2024-07-23T16:57:26 Z shmax Rectangles (IOI19_rect) C++17
37 / 100
 5000 ms 885148 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];

                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 'std::vector<_Tp, _Alloc>::reference 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> > > >; std::vector<_Tp, _Alloc>::reference = 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 0 ms 604 KB Output is correct
6 Correct 1 ms 732 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 432 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 600 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 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 428 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 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 0 ms 604 KB Output is correct
6 Correct 1 ms 732 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 432 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 600 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 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 428 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 18 ms 2904 KB Output is correct
23 Correct 18 ms 2900 KB Output is correct
24 Correct 18 ms 2908 KB Output is correct
25 Correct 7 ms 2908 KB Output is correct
26 Correct 9 ms 3112 KB Output is correct
27 Correct 9 ms 2908 KB Output is correct
28 Correct 9 ms 2904 KB Output is correct
29 Correct 3 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 0 ms 604 KB Output is correct
6 Correct 1 ms 732 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 432 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 600 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 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 18 ms 2904 KB Output is correct
18 Correct 18 ms 2900 KB Output is correct
19 Correct 18 ms 2908 KB Output is correct
20 Correct 7 ms 2908 KB Output is correct
21 Correct 9 ms 3112 KB Output is correct
22 Correct 9 ms 2908 KB Output is correct
23 Correct 9 ms 2904 KB Output is correct
24 Correct 3 ms 1116 KB Output is correct
25 Correct 0 ms 428 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 286 ms 26532 KB Output is correct
31 Correct 303 ms 26452 KB Output is correct
32 Correct 287 ms 26704 KB Output is correct
33 Correct 97 ms 26452 KB Output is correct
34 Correct 123 ms 26384 KB Output is correct
35 Correct 155 ms 26708 KB Output is correct
36 Correct 128 ms 26708 KB Output is correct
37 Correct 125 ms 26196 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 0 ms 604 KB Output is correct
6 Correct 1 ms 732 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 432 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 600 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 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 18 ms 2904 KB Output is correct
18 Correct 18 ms 2900 KB Output is correct
19 Correct 18 ms 2908 KB Output is correct
20 Correct 7 ms 2908 KB Output is correct
21 Correct 9 ms 3112 KB Output is correct
22 Correct 9 ms 2908 KB Output is correct
23 Correct 9 ms 2904 KB Output is correct
24 Correct 3 ms 1116 KB Output is correct
25 Correct 286 ms 26532 KB Output is correct
26 Correct 303 ms 26452 KB Output is correct
27 Correct 287 ms 26704 KB Output is correct
28 Correct 97 ms 26452 KB Output is correct
29 Correct 123 ms 26384 KB Output is correct
30 Correct 155 ms 26708 KB Output is correct
31 Correct 128 ms 26708 KB Output is correct
32 Correct 125 ms 26196 KB Output is correct
33 Correct 0 ms 428 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 1 ms 604 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 3025 ms 800684 KB Output is correct
39 Execution timed out 5098 ms 800684 KB Time limit exceeded
40 Halted 0 ms 0 KB -

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 688 ms 882504 KB Output is correct
2 Correct 512 ms 636568 KB Output is correct
3 Correct 522 ms 882296 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 575 ms 882408 KB Output is correct
6 Correct 594 ms 882296 KB Output is correct
7 Correct 540 ms 882296 KB Output is correct
8 Correct 569 ms 882340 KB Output is correct
9 Correct 547 ms 882288 KB Output is correct
10 Correct 470 ms 881612 KB Output is correct
11 Correct 490 ms 882040 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 428 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Execution timed out 5111 ms 885148 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 0 ms 604 KB Output is correct
6 Correct 1 ms 732 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 432 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 600 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 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 18 ms 2904 KB Output is correct
18 Correct 18 ms 2900 KB Output is correct
19 Correct 18 ms 2908 KB Output is correct
20 Correct 7 ms 2908 KB Output is correct
21 Correct 9 ms 3112 KB Output is correct
22 Correct 9 ms 2908 KB Output is correct
23 Correct 9 ms 2904 KB Output is correct
24 Correct 3 ms 1116 KB Output is correct
25 Correct 286 ms 26532 KB Output is correct
26 Correct 303 ms 26452 KB Output is correct
27 Correct 287 ms 26704 KB Output is correct
28 Correct 97 ms 26452 KB Output is correct
29 Correct 123 ms 26384 KB Output is correct
30 Correct 155 ms 26708 KB Output is correct
31 Correct 128 ms 26708 KB Output is correct
32 Correct 125 ms 26196 KB Output is correct
33 Correct 3025 ms 800684 KB Output is correct
34 Execution timed out 5098 ms 800684 KB Time limit exceeded
35 Halted 0 ms 0 KB -