oj.uz

Submission #1109757

# Submission time Handle Problem Language Result Execution time Memory
1109757 2024-11-07T13:55:08 Z Kirill22 Bootfall (IZhO17_bootfall) C++17
100 / 100
 721 ms 4572 KB 
#include "bits/stdc++.h"

using namespace std;

const int mod = 998244353, mod2 = (int) 1e9 + 7;
const int N = 500 * 500 + 22;
int dp[N], dp2[N];

void solve() {
    int n;
    cin >> n;
    vector<int> a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    int S = std::accumulate(a.begin(), a.end(), 0);
    dp[0] = dp2[0] = 1;
    for (auto& x : a) {
        for (int j = N - 1; j >= x; j--) {
            dp[j] += dp[j - x];
            if (dp[j] >= mod) {
                dp[j] -= mod;
            }
            dp2[j] += dp2[j - x];
            if (dp2[j] >= mod2) {
                dp2[j] -= mod2;
            }
        }
    }
    vector<int> good(S, 0);
    if (S % 2 != 0 || (dp[S / 2] == 0 && dp2[S / 2] == 0)) {
        cout << 0 << '\n';
        return;
    }
    for (int i = 0; i < n; i++) {
        int x = a[i];
        for (int j = x; j < N; j++) {
            dp[j] -= dp[j - x];
            if (dp[j] < 0) {
                dp[j] += mod;
            }
            dp2[j] -= dp2[j - x];
            if (dp2[j] < 0) {
                dp2[j] += mod2;
            }
        }
        for (int val = 1; val < S; val++) {
            int Sval = S + val - x;
            if (Sval % 2 != 0 || (dp[Sval / 2] == 0 && dp2[Sval / 2] == 0)) {
                continue;
            }
            good[val]++;
        }
        for (int j = N - 1; j >= x; j--) {
            dp[j] += dp[j - x];
            if (dp[j] >= mod) {
                dp[j] -= mod;
            }
            dp2[j] += dp2[j - x];
            if (dp2[j] >= mod2) {
                dp2[j] -= mod2;
            }
        }
    }
    vector<int> ans;
    for (int i = 0; i < S; i++) {
        if (good[i] == n) {
            ans.push_back(i);
        }
    }
    cout << ans.size() << '\n';
    for (auto& i : ans) {
        cout << i << " ";
    }
    cout << '\n';
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t = 1;
//    cin >> t;
    while (t--) {
        solve();
    }
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2384 KB Output is correct
2 Correct 9 ms 2592 KB Output is correct
3 Correct 5 ms 2384 KB Output is correct
4 Correct 8 ms 2384 KB Output is correct
5 Correct 25 ms 2384 KB Output is correct
6 Correct 12 ms 2384 KB Output is correct
7 Correct 9 ms 2384 KB Output is correct
8 Correct 15 ms 2384 KB Output is correct
9 Correct 16 ms 2384 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2384 KB Output is correct
2 Correct 9 ms 2592 KB Output is correct
3 Correct 5 ms 2384 KB Output is correct
4 Correct 8 ms 2384 KB Output is correct
5 Correct 25 ms 2384 KB Output is correct
6 Correct 12 ms 2384 KB Output is correct
7 Correct 9 ms 2384 KB Output is correct
8 Correct 15 ms 2384 KB Output is correct
9 Correct 16 ms 2384 KB Output is correct
10 Correct 32 ms 2384 KB Output is correct
11 Correct 39 ms 2552 KB Output is correct
12 Correct 46 ms 2412 KB Output is correct
13 Correct 31 ms 2384 KB Output is correct
14 Correct 36 ms 2384 KB Output is correct
15 Correct 33 ms 2384 KB Output is correct
16 Correct 56 ms 2384 KB Output is correct
17 Correct 38 ms 2384 KB Output is correct
18 Correct 30 ms 2384 KB Output is correct
19 Correct 43 ms 2552 KB Output is correct
20 Correct 34 ms 2384 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2384 KB Output is correct
2 Correct 9 ms 2592 KB Output is correct
3 Correct 5 ms 2384 KB Output is correct
4 Correct 8 ms 2384 KB Output is correct
5 Correct 25 ms 2384 KB Output is correct
6 Correct 12 ms 2384 KB Output is correct
7 Correct 9 ms 2384 KB Output is correct
8 Correct 15 ms 2384 KB Output is correct
9 Correct 16 ms 2384 KB Output is correct
10 Correct 32 ms 2384 KB Output is correct
11 Correct 39 ms 2552 KB Output is correct
12 Correct 46 ms 2412 KB Output is correct
13 Correct 31 ms 2384 KB Output is correct
14 Correct 36 ms 2384 KB Output is correct
15 Correct 33 ms 2384 KB Output is correct
16 Correct 56 ms 2384 KB Output is correct
17 Correct 38 ms 2384 KB Output is correct
18 Correct 30 ms 2384 KB Output is correct
19 Correct 43 ms 2552 KB Output is correct
20 Correct 34 ms 2384 KB Output is correct
21 Correct 98 ms 2384 KB Output is correct
22 Correct 83 ms 2404 KB Output is correct
23 Correct 65 ms 2384 KB Output is correct
24 Correct 110 ms 2564 KB Output is correct
25 Correct 117 ms 2384 KB Output is correct
26 Correct 111 ms 2380 KB Output is correct
27 Correct 110 ms 2416 KB Output is correct
28 Correct 126 ms 2412 KB Output is correct
29 Correct 109 ms 2384 KB Output is correct
30 Correct 111 ms 2384 KB Output is correct
31 Correct 108 ms 2552 KB Output is correct
32 Correct 115 ms 2384 KB Output is correct
33 Correct 128 ms 2408 KB Output is correct
34 Correct 107 ms 2384 KB Output is correct
35 Correct 107 ms 2412 KB Output is correct
36 Correct 148 ms 2416 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2384 KB Output is correct
2 Correct 9 ms 2592 KB Output is correct
3 Correct 5 ms 2384 KB Output is correct
4 Correct 8 ms 2384 KB Output is correct
5 Correct 25 ms 2384 KB Output is correct
6 Correct 12 ms 2384 KB Output is correct
7 Correct 9 ms 2384 KB Output is correct
8 Correct 15 ms 2384 KB Output is correct
9 Correct 16 ms 2384 KB Output is correct
10 Correct 32 ms 2384 KB Output is correct
11 Correct 39 ms 2552 KB Output is correct
12 Correct 46 ms 2412 KB Output is correct
13 Correct 31 ms 2384 KB Output is correct
14 Correct 36 ms 2384 KB Output is correct
15 Correct 33 ms 2384 KB Output is correct
16 Correct 56 ms 2384 KB Output is correct
17 Correct 38 ms 2384 KB Output is correct
18 Correct 30 ms 2384 KB Output is correct
19 Correct 43 ms 2552 KB Output is correct
20 Correct 34 ms 2384 KB Output is correct
21 Correct 98 ms 2384 KB Output is correct
22 Correct 83 ms 2404 KB Output is correct
23 Correct 65 ms 2384 KB Output is correct
24 Correct 110 ms 2564 KB Output is correct
25 Correct 117 ms 2384 KB Output is correct
26 Correct 111 ms 2380 KB Output is correct
27 Correct 110 ms 2416 KB Output is correct
28 Correct 126 ms 2412 KB Output is correct
29 Correct 109 ms 2384 KB Output is correct
30 Correct 111 ms 2384 KB Output is correct
31 Correct 108 ms 2552 KB Output is correct
32 Correct 115 ms 2384 KB Output is correct
33 Correct 128 ms 2408 KB Output is correct
34 Correct 107 ms 2384 KB Output is correct
35 Correct 107 ms 2412 KB Output is correct
36 Correct 148 ms 2416 KB Output is correct
37 Correct 227 ms 2408 KB Output is correct
38 Correct 269 ms 2484 KB Output is correct
39 Correct 304 ms 2416 KB Output is correct
40 Correct 355 ms 2632 KB Output is correct
41 Correct 315 ms 2664 KB Output is correct
42 Correct 262 ms 2632 KB Output is correct
43 Correct 262 ms 2892 KB Output is correct
44 Correct 273 ms 3016 KB Output is correct
45 Correct 260 ms 2896 KB Output is correct
46 Correct 299 ms 2384 KB Output is correct
47 Correct 307 ms 2660 KB Output is correct
48 Correct 280 ms 2888 KB Output is correct
49 Correct 266 ms 2632 KB Output is correct
50 Correct 273 ms 2668 KB Output is correct
51 Correct 174 ms 2384 KB Output is correct
52 Correct 324 ms 2920 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2384 KB Output is correct
2 Correct 9 ms 2592 KB Output is correct
3 Correct 5 ms 2384 KB Output is correct
4 Correct 8 ms 2384 KB Output is correct
5 Correct 25 ms 2384 KB Output is correct
6 Correct 12 ms 2384 KB Output is correct
7 Correct 9 ms 2384 KB Output is correct
8 Correct 15 ms 2384 KB Output is correct
9 Correct 16 ms 2384 KB Output is correct
10 Correct 32 ms 2384 KB Output is correct
11 Correct 39 ms 2552 KB Output is correct
12 Correct 46 ms 2412 KB Output is correct
13 Correct 31 ms 2384 KB Output is correct
14 Correct 36 ms 2384 KB Output is correct
15 Correct 33 ms 2384 KB Output is correct
16 Correct 56 ms 2384 KB Output is correct
17 Correct 38 ms 2384 KB Output is correct
18 Correct 30 ms 2384 KB Output is correct
19 Correct 43 ms 2552 KB Output is correct
20 Correct 34 ms 2384 KB Output is correct
21 Correct 98 ms 2384 KB Output is correct
22 Correct 83 ms 2404 KB Output is correct
23 Correct 65 ms 2384 KB Output is correct
24 Correct 110 ms 2564 KB Output is correct
25 Correct 117 ms 2384 KB Output is correct
26 Correct 111 ms 2380 KB Output is correct
27 Correct 110 ms 2416 KB Output is correct
28 Correct 126 ms 2412 KB Output is correct
29 Correct 109 ms 2384 KB Output is correct
30 Correct 111 ms 2384 KB Output is correct
31 Correct 108 ms 2552 KB Output is correct
32 Correct 115 ms 2384 KB Output is correct
33 Correct 128 ms 2408 KB Output is correct
34 Correct 107 ms 2384 KB Output is correct
35 Correct 107 ms 2412 KB Output is correct
36 Correct 148 ms 2416 KB Output is correct
37 Correct 227 ms 2408 KB Output is correct
38 Correct 269 ms 2484 KB Output is correct
39 Correct 304 ms 2416 KB Output is correct
40 Correct 355 ms 2632 KB Output is correct
41 Correct 315 ms 2664 KB Output is correct
42 Correct 262 ms 2632 KB Output is correct
43 Correct 262 ms 2892 KB Output is correct
44 Correct 273 ms 3016 KB Output is correct
45 Correct 260 ms 2896 KB Output is correct
46 Correct 299 ms 2384 KB Output is correct
47 Correct 307 ms 2660 KB Output is correct
48 Correct 280 ms 2888 KB Output is correct
49 Correct 266 ms 2632 KB Output is correct
50 Correct 273 ms 2668 KB Output is correct
51 Correct 174 ms 2384 KB Output is correct
52 Correct 324 ms 2920 KB Output is correct
53 Correct 362 ms 2888 KB Output is correct
54 Correct 382 ms 2880 KB Output is correct
55 Correct 484 ms 3236 KB Output is correct
56 Correct 359 ms 2916 KB Output is correct
57 Correct 451 ms 3316 KB Output is correct
58 Correct 403 ms 2908 KB Output is correct
59 Correct 450 ms 3056 KB Output is correct
60 Correct 174 ms 2404 KB Output is correct
61 Correct 453 ms 3052 KB Output is correct
62 Correct 487 ms 3300 KB Output is correct
63 Correct 415 ms 3304 KB Output is correct
64 Correct 423 ms 3276 KB Output is correct
65 Correct 395 ms 2404 KB Output is correct
66 Correct 408 ms 2632 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2384 KB Output is correct
2 Correct 9 ms 2592 KB Output is correct
3 Correct 5 ms 2384 KB Output is correct
4 Correct 8 ms 2384 KB Output is correct
5 Correct 25 ms 2384 KB Output is correct
6 Correct 12 ms 2384 KB Output is correct
7 Correct 9 ms 2384 KB Output is correct
8 Correct 15 ms 2384 KB Output is correct
9 Correct 16 ms 2384 KB Output is correct
10 Correct 32 ms 2384 KB Output is correct
11 Correct 39 ms 2552 KB Output is correct
12 Correct 46 ms 2412 KB Output is correct
13 Correct 31 ms 2384 KB Output is correct
14 Correct 36 ms 2384 KB Output is correct
15 Correct 33 ms 2384 KB Output is correct
16 Correct 56 ms 2384 KB Output is correct
17 Correct 38 ms 2384 KB Output is correct
18 Correct 30 ms 2384 KB Output is correct
19 Correct 43 ms 2552 KB Output is correct
20 Correct 34 ms 2384 KB Output is correct
21 Correct 98 ms 2384 KB Output is correct
22 Correct 83 ms 2404 KB Output is correct
23 Correct 65 ms 2384 KB Output is correct
24 Correct 110 ms 2564 KB Output is correct
25 Correct 117 ms 2384 KB Output is correct
26 Correct 111 ms 2380 KB Output is correct
27 Correct 110 ms 2416 KB Output is correct
28 Correct 126 ms 2412 KB Output is correct
29 Correct 109 ms 2384 KB Output is correct
30 Correct 111 ms 2384 KB Output is correct
31 Correct 108 ms 2552 KB Output is correct
32 Correct 115 ms 2384 KB Output is correct
33 Correct 128 ms 2408 KB Output is correct
34 Correct 107 ms 2384 KB Output is correct
35 Correct 107 ms 2412 KB Output is correct
36 Correct 148 ms 2416 KB Output is correct
37 Correct 227 ms 2408 KB Output is correct
38 Correct 269 ms 2484 KB Output is correct
39 Correct 304 ms 2416 KB Output is correct
40 Correct 355 ms 2632 KB Output is correct
41 Correct 315 ms 2664 KB Output is correct
42 Correct 262 ms 2632 KB Output is correct
43 Correct 262 ms 2892 KB Output is correct
44 Correct 273 ms 3016 KB Output is correct
45 Correct 260 ms 2896 KB Output is correct
46 Correct 299 ms 2384 KB Output is correct
47 Correct 307 ms 2660 KB Output is correct
48 Correct 280 ms 2888 KB Output is correct
49 Correct 266 ms 2632 KB Output is correct
50 Correct 273 ms 2668 KB Output is correct
51 Correct 174 ms 2384 KB Output is correct
52 Correct 324 ms 2920 KB Output is correct
53 Correct 362 ms 2888 KB Output is correct
54 Correct 382 ms 2880 KB Output is correct
55 Correct 484 ms 3236 KB Output is correct
56 Correct 359 ms 2916 KB Output is correct
57 Correct 451 ms 3316 KB Output is correct
58 Correct 403 ms 2908 KB Output is correct
59 Correct 450 ms 3056 KB Output is correct
60 Correct 174 ms 2404 KB Output is correct
61 Correct 453 ms 3052 KB Output is correct
62 Correct 487 ms 3300 KB Output is correct
63 Correct 415 ms 3304 KB Output is correct
64 Correct 423 ms 3276 KB Output is correct
65 Correct 395 ms 2404 KB Output is correct
66 Correct 408 ms 2632 KB Output is correct
67 Correct 578 ms 3056 KB Output is correct
68 Correct 255 ms 2668 KB Output is correct
69 Correct 667 ms 4324 KB Output is correct
70 Correct 655 ms 3564 KB Output is correct
71 Correct 663 ms 3540 KB Output is correct
72 Correct 709 ms 2664 KB Output is correct
73 Correct 633 ms 2888 KB Output is correct
74 Correct 713 ms 4316 KB Output is correct
75 Correct 651 ms 4036 KB Output is correct
76 Correct 714 ms 4324 KB Output is correct
77 Correct 721 ms 4572 KB Output is correct