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Submission #744181

# Submission time Handle Problem Language Result Execution time Memory
744181 2023-05-18T09:00:57 Z viwlesxq Bali Sculptures (APIO15_sculpture) C++17
71 / 100
 1000 ms 20284 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef string str;

const ll inf = 1e18;

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int n, a, b;
    cin >> n >> a >> b;
    ll y[n + 1];
    for (int i = 0; i < n; ++i) {
        cin >> y[i];
    }
    if (n <= 20) {
        ll ans = inf;
        for (int mask = 0; mask < (1 << (n - 1)); ++mask) {
            int cnt = __builtin_popcount(mask) + 1;
            if (cnt < a || cnt > b) {
                continue;
            }
            ll cur = 0;
            ll sum = y[0];
            for (int bit = 0; bit < n - 1; ++bit) {
                if (mask & (1 << bit)) {
                    cur |= sum;
                    sum = y[bit + 1];
                } else {
                    sum += y[bit + 1];
                }
            }
            cur |= sum;
            ans = min(ans, cur);
        }
        cout << ans;
    } else if (*max_element(y, y + n) <= 20) {
        ll pref[n + 1];
        bool dp[n + 1][n + 1][2001];
        memset(dp, false, sizeof(dp));
        pref[0] = 0;
        for (int i = 1; i <= n; ++i) {
            pref[i] = pref[i - 1] + y[i - 1];
        }
        for (int i = 1; i <= n; ++i) {
            dp[i][1][pref[i]] = true; 
        }
        for (int k = 2; k <= b; ++k) {
            for (int i = 1; i <= n; ++i) {
                for (int j = i - 1; j >= 1; --j) {
                    for (int x = 0; x < 2001; ++x) {
                        if (dp[j][k - 1][x]) {
                            dp[i][k][x | (pref[i] - pref[j])] = true;
                        }
                    }
                }
            }
        }
        ll ans = inf;
        for (int k = a; k <= b; ++k) {
            for (int x = 0; x < 2001; ++x) {
                if (dp[n][k][x]) {
                    ans = min(ans, (ll)x);
                }
            }
        }
        cout << ans;
    } else {
        ll mask = 0;
        for (int bit = 60; bit >= 0; --bit) {
            bool can = false;
            mask |= 1ll << bit;
            vector <vector <bool>> dp(n + 1, vector <bool> (n + 1, false));
            dp[0][0] = true;
            for (int k = 0; k <= b; ++k) {
                for (int i = 0; i < n; ++i) {
                    ll sum = 0;
                    if (dp[k][i]) {
                        for (int j = i; j < n; ++j) {
                            sum += y[j];
                            if ((sum & mask) == 0) {
                                dp[k + 1][j + 1] = true;
                            }
                        }
                    }
                }
            }
            for (int k = a; k <= b; ++k) {
                if (dp[k][n]) {
                    can = true;
                }
            }
            if (!can) {
                mask ^= 1ll << bit;
            }
        }
        cout << (1ll << 61) - 1 - mask;
    }
}

Subtask #1
9.0 / 9.0

# 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 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 2 ms 324 KB Output is correct
9 Correct 3 ms 212 KB Output is correct
10 Correct 2 ms 212 KB Output is correct
11 Correct 2 ms 212 KB Output is correct
12 Correct 3 ms 212 KB Output is correct
13 Correct 26 ms 316 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 316 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 212 KB Output is correct
20 Correct 1 ms 320 KB Output is correct
21 Correct 4 ms 212 KB Output is correct
22 Correct 4 ms 316 KB Output is correct
23 Correct 4 ms 212 KB Output is correct
24 Correct 2 ms 212 KB Output is correct
25 Correct 4 ms 212 KB Output is correct
26 Correct 26 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 316 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 2 ms 212 KB Output is correct
31 Correct 4 ms 212 KB Output is correct
32 Correct 4 ms 212 KB Output is correct
33 Correct 24 ms 212 KB Output is correct
34 Correct 26 ms 212 KB Output is correct
35 Correct 2 ms 212 KB Output is correct
36 Correct 30 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 1 ms 212 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 2 ms 324 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 2 ms 320 KB Output is correct
9 Correct 2 ms 308 KB Output is correct
10 Correct 2 ms 212 KB Output is correct
11 Correct 2 ms 212 KB Output is correct
12 Correct 3 ms 212 KB Output is correct
13 Correct 31 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 1 ms 324 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 4 ms 316 KB Output is correct
22 Correct 4 ms 212 KB Output is correct
23 Correct 4 ms 212 KB Output is correct
24 Correct 2 ms 212 KB Output is correct
25 Correct 4 ms 212 KB Output is correct
26 Correct 24 ms 212 KB Output is correct
27 Correct 8 ms 1236 KB Output is correct
28 Correct 9 ms 1620 KB Output is correct
29 Correct 7 ms 3284 KB Output is correct
30 Correct 30 ms 3924 KB Output is correct
31 Correct 45 ms 5388 KB Output is correct
32 Correct 39 ms 5332 KB Output is correct
33 Correct 3 ms 5332 KB Output is correct
34 Correct 41 ms 5332 KB Output is correct
35 Correct 34 ms 5332 KB Output is correct
36 Correct 29 ms 5408 KB Output is correct

Subtask #3
21.0 / 21.0

# 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 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 2 ms 212 KB Output is correct
9 Correct 2 ms 212 KB Output is correct
10 Correct 3 ms 212 KB Output is correct
11 Correct 3 ms 212 KB Output is correct
12 Correct 3 ms 316 KB Output is correct
13 Correct 26 ms 316 KB Output is correct
14 Correct 7 ms 1264 KB Output is correct
15 Correct 8 ms 1620 KB Output is correct
16 Correct 8 ms 3268 KB Output is correct
17 Correct 26 ms 3944 KB Output is correct
18 Correct 43 ms 5332 KB Output is correct
19 Correct 46 ms 5388 KB Output is correct
20 Correct 3 ms 5332 KB Output is correct
21 Correct 40 ms 5308 KB Output is correct
22 Correct 38 ms 5392 KB Output is correct
23 Correct 24 ms 5332 KB Output is correct
24 Correct 53 ms 5592 KB Output is correct
25 Correct 39 ms 8828 KB Output is correct
26 Correct 121 ms 12516 KB Output is correct
27 Correct 372 ms 16908 KB Output is correct
28 Correct 793 ms 20272 KB Output is correct
29 Correct 806 ms 20268 KB Output is correct
30 Correct 13 ms 20180 KB Output is correct
31 Correct 479 ms 20272 KB Output is correct
32 Correct 608 ms 20272 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 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 320 KB Output is correct
7 Correct 1 ms 320 KB Output is correct
8 Correct 2 ms 324 KB Output is correct
9 Correct 2 ms 212 KB Output is correct
10 Correct 2 ms 212 KB Output is correct
11 Correct 2 ms 212 KB Output is correct
12 Correct 2 ms 320 KB Output is correct
13 Correct 24 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 320 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 320 KB Output is correct
21 Correct 4 ms 212 KB Output is correct
22 Correct 4 ms 212 KB Output is correct
23 Correct 4 ms 212 KB Output is correct
24 Correct 2 ms 320 KB Output is correct
25 Correct 4 ms 324 KB Output is correct
26 Correct 21 ms 316 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 2 ms 212 KB Output is correct
31 Correct 4 ms 212 KB Output is correct
32 Correct 2 ms 316 KB Output is correct
33 Correct 23 ms 320 KB Output is correct
34 Correct 26 ms 212 KB Output is correct
35 Correct 2 ms 212 KB Output is correct
36 Correct 26 ms 304 KB Output is correct
37 Correct 7 ms 1260 KB Output is correct
38 Correct 7 ms 1620 KB Output is correct
39 Correct 8 ms 3284 KB Output is correct
40 Correct 25 ms 3904 KB Output is correct
41 Correct 37 ms 5332 KB Output is correct
42 Correct 36 ms 5312 KB Output is correct
43 Correct 3 ms 5332 KB Output is correct
44 Correct 38 ms 5332 KB Output is correct
45 Correct 31 ms 5452 KB Output is correct
46 Correct 18 ms 5388 KB Output is correct
47 Correct 56 ms 5708 KB Output is correct
48 Correct 38 ms 8824 KB Output is correct
49 Correct 111 ms 12500 KB Output is correct
50 Correct 347 ms 16864 KB Output is correct
51 Correct 728 ms 20284 KB Output is correct
52 Correct 748 ms 20276 KB Output is correct
53 Correct 14 ms 20180 KB Output is correct
54 Correct 370 ms 20272 KB Output is correct
55 Correct 564 ms 20272 KB Output is correct
56 Correct 3 ms 212 KB Output is correct
57 Correct 5 ms 316 KB Output is correct
58 Correct 11 ms 324 KB Output is correct
59 Correct 15 ms 332 KB Output is correct
60 Correct 15 ms 212 KB Output is correct
61 Correct 2 ms 212 KB Output is correct
62 Correct 16 ms 316 KB Output is correct
63 Correct 17 ms 212 KB Output is correct
64 Correct 561 ms 16504 KB Output is correct
65 Correct 3 ms 324 KB Output is correct
66 Correct 3 ms 212 KB Output is correct
67 Correct 5 ms 212 KB Output is correct
68 Correct 11 ms 212 KB Output is correct
69 Correct 17 ms 212 KB Output is correct
70 Correct 16 ms 212 KB Output is correct
71 Correct 3 ms 320 KB Output is correct
72 Correct 19 ms 212 KB Output is correct
73 Correct 17 ms 212 KB Output is correct
74 Correct 17 ms 212 KB Output is correct

Subtask #5
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 312 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 2 ms 212 KB Output is correct
9 Correct 3 ms 212 KB Output is correct
10 Correct 3 ms 320 KB Output is correct
11 Correct 2 ms 324 KB Output is correct
12 Correct 2 ms 212 KB Output is correct
13 Correct 25 ms 320 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 2 ms 256 KB Output is correct
18 Correct 5 ms 212 KB Output is correct
19 Correct 3 ms 212 KB Output is correct
20 Correct 23 ms 212 KB Output is correct
21 Correct 25 ms 300 KB Output is correct
22 Correct 2 ms 212 KB Output is correct
23 Correct 27 ms 320 KB Output is correct
24 Correct 7 ms 1236 KB Output is correct
25 Correct 5 ms 1620 KB Output is correct
26 Correct 8 ms 3284 KB Output is correct
27 Correct 24 ms 3924 KB Output is correct
28 Correct 57 ms 5388 KB Output is correct
29 Correct 37 ms 5388 KB Output is correct
30 Correct 3 ms 5312 KB Output is correct
31 Correct 40 ms 5388 KB Output is correct
32 Correct 31 ms 5332 KB Output is correct
33 Correct 21 ms 5332 KB Output is correct
34 Correct 50 ms 5608 KB Output is correct
35 Correct 47 ms 8820 KB Output is correct
36 Correct 133 ms 12500 KB Output is correct
37 Correct 474 ms 16868 KB Output is correct
38 Correct 846 ms 20272 KB Output is correct
39 Correct 861 ms 20272 KB Output is correct
40 Correct 15 ms 20180 KB Output is correct
41 Correct 432 ms 20276 KB Output is correct
42 Correct 680 ms 20284 KB Output is correct
43 Correct 3 ms 212 KB Output is correct
44 Correct 6 ms 212 KB Output is correct
45 Correct 12 ms 212 KB Output is correct
46 Correct 17 ms 328 KB Output is correct
47 Correct 16 ms 332 KB Output is correct
48 Correct 2 ms 320 KB Output is correct
49 Correct 18 ms 212 KB Output is correct
50 Correct 19 ms 332 KB Output is correct
51 Correct 9 ms 212 KB Output is correct
52 Execution timed out 1084 ms 324 KB Time limit exceeded
53 Halted 0 ms 0 KB -