oj.uz

Submission #544052

# Submission time Handle Problem Language Result Execution time Memory
544052 2022-03-31T21:27:41 Z Olympia Bali Sculptures (APIO15_sculpture) C++17
100 / 100
 227 ms 460 KB 
#include <vector>
#include <algorithm>
#include <iostream>
#include <set>
#include <cmath>
#include <map>
#include <random>
#include <cassert>
#include <ctime>
#include <bitset>
#include <stack>
#include <cstdlib>
#include <queue>
#include <stdint.h>
#include <cstdio>
#include <limits.h>

using namespace std;

class SparseTable {
    vector<int64_t> pref;
    vector<int64_t> arr;
public:
    int64_t query (int l, int r) {
        return pref[r + 1] - pref[l];
    }
    SparseTable (vector<int64_t> arr) {
        this->arr = arr;
        pref = {0};
        for (int i = 1; i <= arr.size(); i++) {
            pref.push_back(pref.back() + arr[i - 1]);
        }
    }
};

vector<int64_t> powr = {1};

bool submask (int64_t mask, int64_t cur) {
    return ((cur | mask) == mask);
}

bool press (SparseTable& st, int A, int B, int N, int64_t mask) {
    int dp[N];
    for (int i = 0; i < N; i++) {
        //dp[i] = false;
        dp[i] = 1e8;
    }
    for (int i = 0; i < N; i++) {
        if (submask(mask, st.query(0, i))) {
            dp[i] = 1;
        }
    }
    for (int i = 0; i < N; i++) {
        for (int prev = 0; prev < i; prev++) {
            if (submask(mask, st.query(prev + 1, i))) {
                dp[i] = min(dp[i], dp[prev] + 1);
            }
        }
    }
    return (dp[N - 1] <= B);
}

bool process (SparseTable& st, int A, int B, int N, int64_t mask) {
    if (A == 1) return press(st, A, B, N, mask);
    bool dp[N + 1][N];
    bool segments[N][N];
    for (int i = 0; i < N; i++) {
        for (int j = i; j >= 1; j--) {
            segments[i][j - 1] = submask(mask, st.query(j, i));
        }
    }
    for (int i = 0; i < N; i++) {
        for (int j = 0; j <= N; j++) {
            dp[j][i] = false;
        }
    }
    for (int i = 0; i < N; i++) {
        dp[1][i] = submask(mask, st.query(0, i));
    }
    for (int i = 0; i < N; i++) {
        for (int j = 2; j <= i + 1; j++) {
            dp[j][i] = false;
            for (int k = 0; k < i; k++) {
                if ((dp[j - 1][k] && segments[i][k])) {
                    dp[j][i] = true;
                }
            }
        }
    }
    for (int j = A; j <= B; j++) {
        if (dp[j][N - 1]) {
            return true;
        }
    }
    return false;
}

int main() {
    //freopen("balancing.in", "r", stdin);
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int N, A, B;
    cin >> N >> A >> B;
    vector<int64_t> arr(N);
    for (int i = 0; i < N; i++) {
        cin >> arr[i];
    }
    SparseTable st(arr);
    while (powr.size() != 60) {
        powr.push_back(powr.back() * 2);
    }
    const int MX = 58;
    int64_t cur = powr[MX + 1] - 1;
    for (int j = MX; j >= 0; j--) {
        if (process(st, A, B, N, cur - powr[j])) {
            cur -= powr[j];
        }
    }
    cout << cur;
}

Compilation message

sculpture.cpp: In constructor 'SparseTable::SparseTable(std::vector<long int>)':
sculpture.cpp:30:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   30 |         for (int i = 1; i <= arr.size(); i++) {
      |                         ~~^~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 240 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 224 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 276 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 316 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 1 ms 212 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 19 ms 212 KB Output is correct
65 Correct 4 ms 212 KB Output is correct
66 Correct 7 ms 320 KB Output is correct
67 Correct 10 ms 212 KB Output is correct
68 Correct 15 ms 332 KB Output is correct
69 Correct 20 ms 336 KB Output is correct
70 Correct 22 ms 332 KB Output is correct
71 Correct 19 ms 212 KB Output is correct
72 Correct 24 ms 332 KB Output is correct
73 Correct 20 ms 212 KB Output is correct
74 Correct 20 ms 336 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 220 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 21 ms 348 KB Output is correct
53 Correct 29 ms 340 KB Output is correct
54 Correct 52 ms 340 KB Output is correct
55 Correct 52 ms 356 KB Output is correct
56 Correct 194 ms 400 KB Output is correct
57 Correct 194 ms 460 KB Output is correct
58 Correct 187 ms 340 KB Output is correct
59 Correct 184 ms 416 KB Output is correct
60 Correct 193 ms 412 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 28 ms 320 KB Output is correct
63 Correct 52 ms 348 KB Output is correct
64 Correct 53 ms 356 KB Output is correct
65 Correct 97 ms 388 KB Output is correct
66 Correct 145 ms 340 KB Output is correct
67 Correct 192 ms 400 KB Output is correct
68 Correct 227 ms 408 KB Output is correct
69 Correct 195 ms 404 KB Output is correct