#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define endl '\n'
#define int long long
const int N=500+5,inf=2e9,MOD=1e9+7;
int dp[N][N*N],a[N];
bool can[N][N*N]; //can we achieve sum j if we remove i
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n; cin>>n;
for(int i=1;i<=n;i++)cin>>a[i];
dp[0][0]=1;
int tot=0;
for(int i=1;i<=n;i++){
tot+=a[i];
for(int j=N*N-1;j>=0;j--){
dp[i][j]=dp[i-1][j];
if(j>=a[i])dp[i][j]+=dp[i-1][j-a[i]];
dp[i][j]%=MOD;
}
}
if(tot%2==1 || dp[n][tot/2]==0){
cout<<0;
return 0;
}
for(int i=1;i<=n;i++){
for(int j=0;j<N*N;j++){
if(j>=a[i])dp[n][j]-=dp[n][j-a[i]];
if(dp[n][j]>0)can[i][j]=1;
dp[n][j]+=MOD;
dp[n][j]%=MOD;
}
for(int j=N*N-1;j>=0;j--){
if(j>=a[i])dp[n][j]+=dp[n][j-a[i]];
dp[n][j]%=MOD;
}
}
vector<int> ans;
for(int i=1;i<N*N;i++){
bool flag=1;
for(int j=1;j<=n;j++){
int sum=tot-a[j];
if(!((sum+i)%2==0 && can[j][(sum+i)/2])){
flag=0;
}
}
if(flag)ans.pb(i);
}
cout<<ans.size()<<endl;
for(auto i:ans)cout<<i<<' ';
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |