This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define int ll
int n,tot,mod=1e9+7;
int arr[505],dp[250005];
signed main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
for(int i=1;i<=n;i++){
cin >> arr[i];
tot += arr[i];
}
dp[0] = 1;
for(int i=1;i<=n;i++){
for(int j=250000;j>=arr[i];j--){
dp[j] += dp[j-arr[i]];
dp[j] %= mod;
}
}
if(tot%2 or dp[tot/2]==0){
cout << 0 << "\n";
cout << "\n";
return 0;
}
vector<int> ans;
for(int i=1;i<=250000;i++){
bool yes = true;
for(int j=1;j<=n;j++){
if((tot-arr[j]+i)%2){
yes = false;
break;
}
int x = (tot-arr[j]+i)/2;
if(!dp[x]){
yes = false;
break;
}
int c1=0,c2=0;
for(int k=x;k>=0;k-=arr[j]){
c1 += dp[k];
swap(c1,c2);
}
if(c1%mod==c2%mod){
yes = false;
break;
}
}
if(yes){
ans.push_back(i);
}
}
cout << ans.size() << "\n";
for(int i:ans){
cout << i << " ";
}
cout << "\n";
return 0;
}
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