| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 925217 |
2024-02-11T05:05:32 Z |
atom |
Bootfall (IZhO17_bootfall) |
C++17 |
|
41 ms |
3676 KB |
#include "bits/stdc++.h"
// @JASPER'S BOILERPLATE
using namespace std;
using ll = long long;
#ifdef JASPER
#include "debug.h"
#else
#define debug(...) 166
#endif
const int N = 501 * 501;
int n;
int a[N];
signed main() {
cin.tie(0) -> sync_with_stdio(0);
#ifdef JASPER
freopen("in1", "r", stdin);
#endif
cin >> n;
for (int i = 1; i <= n; ++i) cin >> a[i];
int sz = accumulate(a + 1, a + 1 + n, 0);
// dp(x) : number of ways constructing sum equal to x;
vector <int> dp1(N, 0), dp2(N, 0), able(N, 1);
dp1[0] = 1;
// solving first case: a[0] is the observer
// -> use first case to solve others
for (int i = 1; i <= n; ++i)
for (int j = sz; j >= a[i]; --j)
dp1[j] += dp1[j - a[i]];
if ((sz & 1) || !dp1[sz / 2]) {
cout << "0\n";
return 0;
}
auto solve = [&] (int id) -> void {
for (int i = 0; i < N; ++i) dp2[i] = dp1[i];
for (int j = a[id]; j < N; ++j)
dp2[j] -= dp2[j - a[id]];
// choose value
for (int x = 1; x < N; ++x) {
int new_sz = sz - a[id] + x;
if ((new_sz & 1) || (new_sz / 2 < x) || dp2[(new_sz / 2) - x] <= 0)
able[x] = 0;
}
};
for (int i = 1; i <= n; ++i) {
// debug(able[3]);
solve(i);
}
vector <int> ans;
for (int x = 1; x < N; ++x) {
if (able[x]) {
ans.push_back(x);
}
}
cout << (int) (ans.size()) << "\n";
for (int x : ans) cout << x << " ";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
3416 KB |
Output is correct |
| 2 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 3 |
Correct |
2 ms |
3420 KB |
Output is correct |
| 4 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 5 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3420 KB |
Output is correct |
| 7 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 8 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 9 |
Correct |
7 ms |
3420 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
3416 KB |
Output is correct |
| 2 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 3 |
Correct |
2 ms |
3420 KB |
Output is correct |
| 4 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 5 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3420 KB |
Output is correct |
| 7 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 8 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 9 |
Correct |
7 ms |
3420 KB |
Output is correct |
| 10 |
Correct |
20 ms |
3676 KB |
Output is correct |
| 11 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 12 |
Correct |
16 ms |
3420 KB |
Output is correct |
| 13 |
Correct |
15 ms |
3416 KB |
Output is correct |
| 14 |
Correct |
15 ms |
3420 KB |
Output is correct |
| 15 |
Correct |
16 ms |
3428 KB |
Output is correct |
| 16 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 17 |
Correct |
11 ms |
3420 KB |
Output is correct |
| 18 |
Correct |
14 ms |
3428 KB |
Output is correct |
| 19 |
Correct |
16 ms |
3424 KB |
Output is correct |
| 20 |
Correct |
16 ms |
3416 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
3416 KB |
Output is correct |
| 2 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 3 |
Correct |
2 ms |
3420 KB |
Output is correct |
| 4 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 5 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3420 KB |
Output is correct |
| 7 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 8 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 9 |
Correct |
7 ms |
3420 KB |
Output is correct |
| 10 |
Correct |
20 ms |
3676 KB |
Output is correct |
| 11 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 12 |
Correct |
16 ms |
3420 KB |
Output is correct |
| 13 |
Correct |
15 ms |
3416 KB |
Output is correct |
| 14 |
Correct |
15 ms |
3420 KB |
Output is correct |
| 15 |
Correct |
16 ms |
3428 KB |
Output is correct |
| 16 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 17 |
Correct |
11 ms |
3420 KB |
Output is correct |
| 18 |
Correct |
14 ms |
3428 KB |
Output is correct |
| 19 |
Correct |
16 ms |
3424 KB |
Output is correct |
| 20 |
Correct |
16 ms |
3416 KB |
Output is correct |
| 21 |
Incorrect |
41 ms |
3420 KB |
Output isn't correct |
| 22 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
3416 KB |
Output is correct |
| 2 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 3 |
Correct |
2 ms |
3420 KB |
Output is correct |
| 4 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 5 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3420 KB |
Output is correct |
| 7 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 8 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 9 |
Correct |
7 ms |
3420 KB |
Output is correct |
| 10 |
Correct |
20 ms |
3676 KB |
Output is correct |
| 11 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 12 |
Correct |
16 ms |
3420 KB |
Output is correct |
| 13 |
Correct |
15 ms |
3416 KB |
Output is correct |
| 14 |
Correct |
15 ms |
3420 KB |
Output is correct |
| 15 |
Correct |
16 ms |
3428 KB |
Output is correct |
| 16 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 17 |
Correct |
11 ms |
3420 KB |
Output is correct |
| 18 |
Correct |
14 ms |
3428 KB |
Output is correct |
| 19 |
Correct |
16 ms |
3424 KB |
Output is correct |
| 20 |
Correct |
16 ms |
3416 KB |
Output is correct |
| 21 |
Incorrect |
41 ms |
3420 KB |
Output isn't correct |
| 22 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
3416 KB |
Output is correct |
| 2 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 3 |
Correct |
2 ms |
3420 KB |
Output is correct |
| 4 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 5 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3420 KB |
Output is correct |
| 7 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 8 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 9 |
Correct |
7 ms |
3420 KB |
Output is correct |
| 10 |
Correct |
20 ms |
3676 KB |
Output is correct |
| 11 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 12 |
Correct |
16 ms |
3420 KB |
Output is correct |
| 13 |
Correct |
15 ms |
3416 KB |
Output is correct |
| 14 |
Correct |
15 ms |
3420 KB |
Output is correct |
| 15 |
Correct |
16 ms |
3428 KB |
Output is correct |
| 16 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 17 |
Correct |
11 ms |
3420 KB |
Output is correct |
| 18 |
Correct |
14 ms |
3428 KB |
Output is correct |
| 19 |
Correct |
16 ms |
3424 KB |
Output is correct |
| 20 |
Correct |
16 ms |
3416 KB |
Output is correct |
| 21 |
Incorrect |
41 ms |
3420 KB |
Output isn't correct |
| 22 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
3416 KB |
Output is correct |
| 2 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 3 |
Correct |
2 ms |
3420 KB |
Output is correct |
| 4 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 5 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3420 KB |
Output is correct |
| 7 |
Correct |
5 ms |
3420 KB |
Output is correct |
| 8 |
Correct |
8 ms |
3420 KB |
Output is correct |
| 9 |
Correct |
7 ms |
3420 KB |
Output is correct |
| 10 |
Correct |
20 ms |
3676 KB |
Output is correct |
| 11 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 12 |
Correct |
16 ms |
3420 KB |
Output is correct |
| 13 |
Correct |
15 ms |
3416 KB |
Output is correct |
| 14 |
Correct |
15 ms |
3420 KB |
Output is correct |
| 15 |
Correct |
16 ms |
3428 KB |
Output is correct |
| 16 |
Correct |
17 ms |
3420 KB |
Output is correct |
| 17 |
Correct |
11 ms |
3420 KB |
Output is correct |
| 18 |
Correct |
14 ms |
3428 KB |
Output is correct |
| 19 |
Correct |
16 ms |
3424 KB |
Output is correct |
| 20 |
Correct |
16 ms |
3416 KB |
Output is correct |
| 21 |
Incorrect |
41 ms |
3420 KB |
Output isn't correct |
| 22 |
Halted |
0 ms |
0 KB |
- |
