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Submission #705120

# Submission time Handle Problem Language Result Execution time Memory
705120 2023-03-03T12:00:54 Z bebra Bali Sculptures (APIO15_sculpture) C++17
100 / 100
 110 ms 384 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

#define dbg(x) cerr << #x << ": " << x << endl;

const int INF = 1e9;
const int MAX_BIT = 44;
const int MAX_N = 2000 + 5;
const int MAX_X = 20;
int a[MAX_N];


int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, l, r;
    cin >> n >> l >> r;
    for (int i = 1; i <= n; ++i) {
        cin >> a[i];
    }
    // minimize (a1 + a2 + ... + a_(k - 1)) | (a_k + a_(k + 1) + ...) | ... 
    // IMPORTANT NOTE: IN LAST GROUP n = 2000 and l = 1
    // maybe greedy bit by bit? minimize first, then second, ...

    if (l == 1) {
        auto check = [&](ll mask) {
            vector<int> dp(n + 1, INF);
            dp[0] = 0;
            for (int i = 1; i <= n; ++i) {
                ll s = 0;
                for (int j = i; j > 0; --j) {
                    s += a[j];
                    if ((s & mask) == 0) {
                        dp[i] = min(dp[i], dp[j - 1] + 1);
                    }
                }
            }
            return dp[n] <= r;
        };

        ll ans = 0;
        ll mask = 0;
        for (int bit = MAX_BIT; bit >= 0; --bit) {
            if (!check(mask | (1LL << bit))) {
                ans |= 1LL << bit;
            } else {
                mask |= 1LL << bit;
            }
        }
        cout << ans << '\n';
    } else {
        auto check = [&](ll mask) {
            vector<vector<bool>> dp(n + 1, vector<bool>(n + 1));
            dp[0][0] = true;
            for (int i = 1; i <= n; ++i) {
                ll s = 0;
                for (int j = i; j > 0; --j) {
                    s += a[j];
                    if ((s & mask) == 0) {
                        for (int k = 0; k <= j - 1; ++k) {
                            dp[i][k + 1] = dp[i][k + 1] | dp[j - 1][k];
                        }
                    }
                }
            }
            for (int i = l; i <= r; ++i) {
                if (dp[n][i]) {
                    return true;
                }
            }
            return false;
        };

        ll ans = 0;
        ll mask = 0;
        for (int bit = MAX_BIT; bit >= 0; --bit) {
            if (!check(mask | (1LL << bit))) {
                ans |= 1LL << bit;
            } else {
                mask |= 1LL << bit;
            }
        }
        cout << ans << '\n';
    }

    return 0;
}

/*
6 1 3
8 1 2 1 5 4


5 5 5
1 1 1 1 1
*/

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 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 1 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 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 1 ms 320 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 320 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 328 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 324 KB Output is correct
29 Correct 1 ms 328 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 0 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 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 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 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 1 ms 212 KB Output is correct
16 Correct 1 ms 236 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 212 KB Output is correct
20 Correct 1 ms 324 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 320 KB Output is correct
24 Correct 1 ms 324 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 324 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 324 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 320 KB Output is correct
33 Correct 1 ms 324 KB Output is correct
34 Correct 1 ms 320 KB Output is correct
35 Correct 1 ms 328 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 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 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 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 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 1 ms 212 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 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 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 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

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 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 1 ms 216 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 1 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 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 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 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 324 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 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 328 KB Output is correct
32 Correct 0 ms 212 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 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 320 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 320 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 324 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 2 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 324 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 320 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 21 ms 212 KB Output is correct
65 Correct 2 ms 320 KB Output is correct
66 Correct 3 ms 328 KB Output is correct
67 Correct 5 ms 328 KB Output is correct
68 Correct 7 ms 212 KB Output is correct
69 Correct 9 ms 212 KB Output is correct
70 Correct 8 ms 212 KB Output is correct
71 Correct 9 ms 328 KB Output is correct
72 Correct 11 ms 212 KB Output is correct
73 Correct 11 ms 212 KB Output is correct
74 Correct 11 ms 332 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 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 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 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 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 0 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 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 0 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 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 2 ms 316 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 10 ms 336 KB Output is correct
53 Correct 15 ms 336 KB Output is correct
54 Correct 28 ms 348 KB Output is correct
55 Correct 29 ms 344 KB Output is correct
56 Correct 109 ms 340 KB Output is correct
57 Correct 98 ms 340 KB Output is correct
58 Correct 90 ms 340 KB Output is correct
59 Correct 92 ms 340 KB Output is correct
60 Correct 110 ms 384 KB Output is correct
61 Correct 1 ms 320 KB Output is correct
62 Correct 21 ms 336 KB Output is correct
63 Correct 28 ms 344 KB Output is correct
64 Correct 26 ms 340 KB Output is correct
65 Correct 49 ms 340 KB Output is correct
66 Correct 72 ms 340 KB Output is correct
67 Correct 96 ms 340 KB Output is correct
68 Correct 103 ms 340 KB Output is correct
69 Correct 96 ms 340 KB Output is correct