oj.uz

Submission #682676

# Submission time Handle Problem Language Result Execution time Memory
682676 2023-01-16T18:08:57 Z opPO Bootfall (IZhO17_bootfall) C++17
100 / 100
 763 ms 2812 KB 
#pragma GCC optimize("O3,unroll-loops")
#include <bits/stdc++.h>

using namespace std;

#define f first
#define s second
#define pb push_back
#define ld long double
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define vec vector

using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
const ld eps = 1e-6;
const int mod = 998244353;
const int oo = 2e9;
const ll OO = 2e18;
const int N = 250001;

void backpack(bitset<N> &can, vec<int> &a, int l, int r)
{
    can.reset();
    can[0] = 1;
    for (int i = l; i <= r; i++) can |= can << a[i];
}

void solve()
{
    int n;
    cin >> n;
    vec<int> a(n + 1);
    int s = 0;
    for (int i = 1; i <= n; i++) cin >> a[i], s += a[i];
    bitset<N> base, start, end;
    backpack(base, a, 1, n);
    if (!base[s / 2])
    {
        cout << 0;
        return;
    }
    backpack(start, a, 1, n / 2);
    backpack(end, a, n / 2 + 1, n);
    vec<int> cnt(500 * n + 1);
    for (int i = 1; i <= n; i++)
    {
        bitset<N> can;
        if (i <= n / 2)
        {
            can = end;
            for (int j = 1; j <= n / 2; j++) if (j != i) can |= can << a[j];
        }
        else
        {
            can = start;
            for (int j = n / 2 + 1; j <= n; j++) if (j != i) can |= can << a[j];
        }
        int from = (s - a[i]) % 2 ? 1 : 2;
        for (int j = from; j <= 500 * n; j += 2)
        {
            if (can[(s - a[i] + j) / 2]) cnt[j]++;
        }
    }
    vec<int> ans;
    for (int i = 1; i <= 500 * n; i++) if (cnt[i] == n) ans.pb(i);
    cout << sz(ans) << "\n";
    for (int &x : ans) cout << x << " ";
}

int32_t main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    solve();
    return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 500 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 472 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 500 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 472 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 4 ms 596 KB Output is correct
11 Correct 4 ms 624 KB Output is correct
12 Correct 4 ms 624 KB Output is correct
13 Correct 3 ms 596 KB Output is correct
14 Correct 3 ms 596 KB Output is correct
15 Correct 3 ms 596 KB Output is correct
16 Correct 3 ms 500 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 3 ms 596 KB Output is correct
19 Correct 3 ms 500 KB Output is correct
20 Correct 4 ms 596 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 500 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 472 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 4 ms 596 KB Output is correct
11 Correct 4 ms 624 KB Output is correct
12 Correct 4 ms 624 KB Output is correct
13 Correct 3 ms 596 KB Output is correct
14 Correct 3 ms 596 KB Output is correct
15 Correct 3 ms 596 KB Output is correct
16 Correct 3 ms 500 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 3 ms 596 KB Output is correct
19 Correct 3 ms 500 KB Output is correct
20 Correct 4 ms 596 KB Output is correct
21 Correct 12 ms 596 KB Output is correct
22 Correct 17 ms 724 KB Output is correct
23 Correct 12 ms 596 KB Output is correct
24 Correct 26 ms 752 KB Output is correct
25 Correct 25 ms 756 KB Output is correct
26 Correct 33 ms 768 KB Output is correct
27 Correct 30 ms 760 KB Output is correct
28 Correct 32 ms 760 KB Output is correct
29 Correct 29 ms 760 KB Output is correct
30 Correct 28 ms 756 KB Output is correct
31 Correct 28 ms 724 KB Output is correct
32 Correct 29 ms 768 KB Output is correct
33 Correct 28 ms 724 KB Output is correct
34 Correct 28 ms 724 KB Output is correct
35 Correct 39 ms 724 KB Output is correct
36 Correct 28 ms 752 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 500 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 472 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 4 ms 596 KB Output is correct
11 Correct 4 ms 624 KB Output is correct
12 Correct 4 ms 624 KB Output is correct
13 Correct 3 ms 596 KB Output is correct
14 Correct 3 ms 596 KB Output is correct
15 Correct 3 ms 596 KB Output is correct
16 Correct 3 ms 500 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 3 ms 596 KB Output is correct
19 Correct 3 ms 500 KB Output is correct
20 Correct 4 ms 596 KB Output is correct
21 Correct 12 ms 596 KB Output is correct
22 Correct 17 ms 724 KB Output is correct
23 Correct 12 ms 596 KB Output is correct
24 Correct 26 ms 752 KB Output is correct
25 Correct 25 ms 756 KB Output is correct
26 Correct 33 ms 768 KB Output is correct
27 Correct 30 ms 760 KB Output is correct
28 Correct 32 ms 760 KB Output is correct
29 Correct 29 ms 760 KB Output is correct
30 Correct 28 ms 756 KB Output is correct
31 Correct 28 ms 724 KB Output is correct
32 Correct 29 ms 768 KB Output is correct
33 Correct 28 ms 724 KB Output is correct
34 Correct 28 ms 724 KB Output is correct
35 Correct 39 ms 724 KB Output is correct
36 Correct 28 ms 752 KB Output is correct
37 Correct 114 ms 1084 KB Output is correct
38 Correct 115 ms 1080 KB Output is correct
39 Correct 177 ms 1044 KB Output is correct
40 Correct 204 ms 1212 KB Output is correct
41 Correct 228 ms 1080 KB Output is correct
42 Correct 188 ms 1180 KB Output is correct
43 Correct 168 ms 1420 KB Output is correct
44 Correct 171 ms 1432 KB Output is correct
45 Correct 172 ms 1432 KB Output is correct
46 Correct 203 ms 980 KB Output is correct
47 Correct 175 ms 1176 KB Output is correct
48 Correct 186 ms 1300 KB Output is correct
49 Correct 174 ms 1048 KB Output is correct
50 Correct 177 ms 1176 KB Output is correct
51 Correct 177 ms 1012 KB Output is correct
52 Correct 212 ms 1468 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 500 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 472 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 4 ms 596 KB Output is correct
11 Correct 4 ms 624 KB Output is correct
12 Correct 4 ms 624 KB Output is correct
13 Correct 3 ms 596 KB Output is correct
14 Correct 3 ms 596 KB Output is correct
15 Correct 3 ms 596 KB Output is correct
16 Correct 3 ms 500 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 3 ms 596 KB Output is correct
19 Correct 3 ms 500 KB Output is correct
20 Correct 4 ms 596 KB Output is correct
21 Correct 12 ms 596 KB Output is correct
22 Correct 17 ms 724 KB Output is correct
23 Correct 12 ms 596 KB Output is correct
24 Correct 26 ms 752 KB Output is correct
25 Correct 25 ms 756 KB Output is correct
26 Correct 33 ms 768 KB Output is correct
27 Correct 30 ms 760 KB Output is correct
28 Correct 32 ms 760 KB Output is correct
29 Correct 29 ms 760 KB Output is correct
30 Correct 28 ms 756 KB Output is correct
31 Correct 28 ms 724 KB Output is correct
32 Correct 29 ms 768 KB Output is correct
33 Correct 28 ms 724 KB Output is correct
34 Correct 28 ms 724 KB Output is correct
35 Correct 39 ms 724 KB Output is correct
36 Correct 28 ms 752 KB Output is correct
37 Correct 114 ms 1084 KB Output is correct
38 Correct 115 ms 1080 KB Output is correct
39 Correct 177 ms 1044 KB Output is correct
40 Correct 204 ms 1212 KB Output is correct
41 Correct 228 ms 1080 KB Output is correct
42 Correct 188 ms 1180 KB Output is correct
43 Correct 168 ms 1420 KB Output is correct
44 Correct 171 ms 1432 KB Output is correct
45 Correct 172 ms 1432 KB Output is correct
46 Correct 203 ms 980 KB Output is correct
47 Correct 175 ms 1176 KB Output is correct
48 Correct 186 ms 1300 KB Output is correct
49 Correct 174 ms 1048 KB Output is correct
50 Correct 177 ms 1176 KB Output is correct
51 Correct 177 ms 1012 KB Output is correct
52 Correct 212 ms 1468 KB Output is correct
53 Correct 248 ms 1404 KB Output is correct
54 Correct 349 ms 1628 KB Output is correct
55 Correct 336 ms 1756 KB Output is correct
56 Correct 264 ms 1544 KB Output is correct
57 Correct 339 ms 1888 KB Output is correct
58 Correct 339 ms 1632 KB Output is correct
59 Correct 337 ms 1704 KB Output is correct
60 Correct 341 ms 1236 KB Output is correct
61 Correct 348 ms 1756 KB Output is correct
62 Correct 287 ms 1744 KB Output is correct
63 Correct 302 ms 1696 KB Output is correct
64 Correct 272 ms 1700 KB Output is correct
65 Correct 272 ms 1184 KB Output is correct
66 Correct 262 ms 1164 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 500 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 472 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 4 ms 596 KB Output is correct
11 Correct 4 ms 624 KB Output is correct
12 Correct 4 ms 624 KB Output is correct
13 Correct 3 ms 596 KB Output is correct
14 Correct 3 ms 596 KB Output is correct
15 Correct 3 ms 596 KB Output is correct
16 Correct 3 ms 500 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 3 ms 596 KB Output is correct
19 Correct 3 ms 500 KB Output is correct
20 Correct 4 ms 596 KB Output is correct
21 Correct 12 ms 596 KB Output is correct
22 Correct 17 ms 724 KB Output is correct
23 Correct 12 ms 596 KB Output is correct
24 Correct 26 ms 752 KB Output is correct
25 Correct 25 ms 756 KB Output is correct
26 Correct 33 ms 768 KB Output is correct
27 Correct 30 ms 760 KB Output is correct
28 Correct 32 ms 760 KB Output is correct
29 Correct 29 ms 760 KB Output is correct
30 Correct 28 ms 756 KB Output is correct
31 Correct 28 ms 724 KB Output is correct
32 Correct 29 ms 768 KB Output is correct
33 Correct 28 ms 724 KB Output is correct
34 Correct 28 ms 724 KB Output is correct
35 Correct 39 ms 724 KB Output is correct
36 Correct 28 ms 752 KB Output is correct
37 Correct 114 ms 1084 KB Output is correct
38 Correct 115 ms 1080 KB Output is correct
39 Correct 177 ms 1044 KB Output is correct
40 Correct 204 ms 1212 KB Output is correct
41 Correct 228 ms 1080 KB Output is correct
42 Correct 188 ms 1180 KB Output is correct
43 Correct 168 ms 1420 KB Output is correct
44 Correct 171 ms 1432 KB Output is correct
45 Correct 172 ms 1432 KB Output is correct
46 Correct 203 ms 980 KB Output is correct
47 Correct 175 ms 1176 KB Output is correct
48 Correct 186 ms 1300 KB Output is correct
49 Correct 174 ms 1048 KB Output is correct
50 Correct 177 ms 1176 KB Output is correct
51 Correct 177 ms 1012 KB Output is correct
52 Correct 212 ms 1468 KB Output is correct
53 Correct 248 ms 1404 KB Output is correct
54 Correct 349 ms 1628 KB Output is correct
55 Correct 336 ms 1756 KB Output is correct
56 Correct 264 ms 1544 KB Output is correct
57 Correct 339 ms 1888 KB Output is correct
58 Correct 339 ms 1632 KB Output is correct
59 Correct 337 ms 1704 KB Output is correct
60 Correct 341 ms 1236 KB Output is correct
61 Correct 348 ms 1756 KB Output is correct
62 Correct 287 ms 1744 KB Output is correct
63 Correct 302 ms 1696 KB Output is correct
64 Correct 272 ms 1700 KB Output is correct
65 Correct 272 ms 1184 KB Output is correct
66 Correct 262 ms 1164 KB Output is correct
67 Correct 459 ms 1776 KB Output is correct
68 Correct 4 ms 468 KB Output is correct
69 Correct 720 ms 2680 KB Output is correct
70 Correct 705 ms 2192 KB Output is correct
71 Correct 691 ms 2256 KB Output is correct
72 Correct 700 ms 1492 KB Output is correct
73 Correct 688 ms 1492 KB Output is correct
74 Correct 704 ms 2680 KB Output is correct
75 Correct 705 ms 2552 KB Output is correct
76 Correct 700 ms 2688 KB Output is correct
77 Correct 763 ms 2812 KB Output is correct