#include <bits/stdc++.h>
// #pragma GCC optimize ("Ofast,unroll-loops")
// #pragma GCC target ("avx2")
using namespace std;
typedef long long ll;
typedef pair<int, int> pp;
#define er(args ...) cerr << __LINE__ << ": ", err(new istringstream(string(#args)), args), cerr << endl
#define per(i,r,l) for(int i = (r); i >= (l); i--)
#define rep(i,l,r) for(int i = (l); i < (r); i++)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define pb push_back
#define ss second
#define ff first
void err(istringstream *iss){}template<typename T,typename ...Args> void err(istringstream *iss,const T &_val, const Args&...args){string _name;*iss>>_name;if(_name.back()==',')_name.pop_back();cerr<<_name<<" = "<<_val<<", ",err(iss,args...);}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll mod = 1e9 + 7, maxn = 6e2+5, lg = 20, inf = ll(1e9) + 5;
ll pw(ll a,ll b,ll md=mod){if(!b)return 1;ll k=pw(a,b>>1ll);return k*k%md*(b&1ll?a:1)%md;}
int dp[maxn][maxn*maxn];
int main(){
cin.tie(0) -> sync_with_stdio(0);
int n; cin >> n;
vector<int> a(n);
int sum = 0;
rep(i,0,n) cin >> a[i], sum += a[i];
dp[n][0] = 1;
rep(i,0,n) per(j,sum,a[i]) dp[n][j] += dp[n][j-a[i]], dp[n][j] -= dp[n][j]<mod?0:mod;
rep(k,0,n){
rep(i,0,sum+1) dp[k][i] = dp[n][i];
rep(j,a[k],sum+1) dp[k][j] -= dp[k][j-a[k]], dp[k][j] += dp[k][j]<0?mod:0;
}
assert(sum < 10000);
// rep(k,0,n+1) rep(i,0,sum) er(k, i, dp[k][i]);
if((sum&1) || !dp[n][sum>>1]) return cout << "0\n", 0;
rep(i,0,n) if(a[i]%2 != a[0]%2) return cout << "0\n", 0;
vector<int> ans;
rep(i,1,sum+1) if(i%2 == a[0]%2){
bool ok = true;
rep(j,0,n){
int t = (sum - a[j] + i)>>1;
if(t > sum || !dp[j][t]) {
ok = false;
break;
}
}
if(ok) ans.pb(i);
}
cout << sz(ans) << '\n';
for(int c: ans) cout << c << ' ';
if(sz(ans)) cout << '\n';
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
596 KB |
Output is correct |
| 11 |
Correct |
1 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
468 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
1 ms |
460 KB |
Output is correct |
| 17 |
Correct |
0 ms |
468 KB |
Output is correct |
| 18 |
Correct |
0 ms |
460 KB |
Output is correct |
| 19 |
Correct |
1 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
584 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
596 KB |
Output is correct |
| 11 |
Correct |
1 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
468 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
1 ms |
460 KB |
Output is correct |
| 17 |
Correct |
0 ms |
468 KB |
Output is correct |
| 18 |
Correct |
0 ms |
460 KB |
Output is correct |
| 19 |
Correct |
1 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
584 KB |
Output is correct |
| 21 |
Correct |
2 ms |
1492 KB |
Output is correct |
| 22 |
Correct |
2 ms |
1748 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 24 |
Correct |
3 ms |
2644 KB |
Output is correct |
| 25 |
Correct |
7 ms |
4308 KB |
Output is correct |
| 26 |
Correct |
6 ms |
4680 KB |
Output is correct |
| 27 |
Correct |
6 ms |
4436 KB |
Output is correct |
| 28 |
Correct |
6 ms |
4692 KB |
Output is correct |
| 29 |
Correct |
6 ms |
4820 KB |
Output is correct |
| 30 |
Correct |
3 ms |
3028 KB |
Output is correct |
| 31 |
Correct |
5 ms |
3924 KB |
Output is correct |
| 32 |
Correct |
4 ms |
2900 KB |
Output is correct |
| 33 |
Runtime error |
27 ms |
9560 KB |
Execution killed with signal 6 |
| 34 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
596 KB |
Output is correct |
| 11 |
Correct |
1 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
468 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
1 ms |
460 KB |
Output is correct |
| 17 |
Correct |
0 ms |
468 KB |
Output is correct |
| 18 |
Correct |
0 ms |
460 KB |
Output is correct |
| 19 |
Correct |
1 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
584 KB |
Output is correct |
| 21 |
Correct |
2 ms |
1492 KB |
Output is correct |
| 22 |
Correct |
2 ms |
1748 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 24 |
Correct |
3 ms |
2644 KB |
Output is correct |
| 25 |
Correct |
7 ms |
4308 KB |
Output is correct |
| 26 |
Correct |
6 ms |
4680 KB |
Output is correct |
| 27 |
Correct |
6 ms |
4436 KB |
Output is correct |
| 28 |
Correct |
6 ms |
4692 KB |
Output is correct |
| 29 |
Correct |
6 ms |
4820 KB |
Output is correct |
| 30 |
Correct |
3 ms |
3028 KB |
Output is correct |
| 31 |
Correct |
5 ms |
3924 KB |
Output is correct |
| 32 |
Correct |
4 ms |
2900 KB |
Output is correct |
| 33 |
Runtime error |
27 ms |
9560 KB |
Execution killed with signal 6 |
| 34 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
596 KB |
Output is correct |
| 11 |
Correct |
1 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
468 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
1 ms |
460 KB |
Output is correct |
| 17 |
Correct |
0 ms |
468 KB |
Output is correct |
| 18 |
Correct |
0 ms |
460 KB |
Output is correct |
| 19 |
Correct |
1 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
584 KB |
Output is correct |
| 21 |
Correct |
2 ms |
1492 KB |
Output is correct |
| 22 |
Correct |
2 ms |
1748 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 24 |
Correct |
3 ms |
2644 KB |
Output is correct |
| 25 |
Correct |
7 ms |
4308 KB |
Output is correct |
| 26 |
Correct |
6 ms |
4680 KB |
Output is correct |
| 27 |
Correct |
6 ms |
4436 KB |
Output is correct |
| 28 |
Correct |
6 ms |
4692 KB |
Output is correct |
| 29 |
Correct |
6 ms |
4820 KB |
Output is correct |
| 30 |
Correct |
3 ms |
3028 KB |
Output is correct |
| 31 |
Correct |
5 ms |
3924 KB |
Output is correct |
| 32 |
Correct |
4 ms |
2900 KB |
Output is correct |
| 33 |
Runtime error |
27 ms |
9560 KB |
Execution killed with signal 6 |
| 34 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
0 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
336 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
596 KB |
Output is correct |
| 11 |
Correct |
1 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
468 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
1 ms |
460 KB |
Output is correct |
| 17 |
Correct |
0 ms |
468 KB |
Output is correct |
| 18 |
Correct |
0 ms |
460 KB |
Output is correct |
| 19 |
Correct |
1 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
584 KB |
Output is correct |
| 21 |
Correct |
2 ms |
1492 KB |
Output is correct |
| 22 |
Correct |
2 ms |
1748 KB |
Output is correct |
| 23 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 24 |
Correct |
3 ms |
2644 KB |
Output is correct |
| 25 |
Correct |
7 ms |
4308 KB |
Output is correct |
| 26 |
Correct |
6 ms |
4680 KB |
Output is correct |
| 27 |
Correct |
6 ms |
4436 KB |
Output is correct |
| 28 |
Correct |
6 ms |
4692 KB |
Output is correct |
| 29 |
Correct |
6 ms |
4820 KB |
Output is correct |
| 30 |
Correct |
3 ms |
3028 KB |
Output is correct |
| 31 |
Correct |
5 ms |
3924 KB |
Output is correct |
| 32 |
Correct |
4 ms |
2900 KB |
Output is correct |
| 33 |
Runtime error |
27 ms |
9560 KB |
Execution killed with signal 6 |
| 34 |
Halted |
0 ms |
0 KB |
- |
