Submission #678393

#TimeUsernameProblemLanguageResultExecution timeMemory
678393Ahmed57Bootfall (IZhO17_bootfall)C++17
65 / 100
1084 ms1960 KiB
#include <bits/stdc++.h>

using namespace std;
long long dp[500*500+1];
long long mod = int(1e9+7);
bitset<500*500+1> su;
int main(){
    ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    int n;
    cin>>n;
    int arr[n] , sum = 0;
    for(int i = 0;i<n;i++){
        cin>>arr[i];sum+=arr[i];
    }
    dp[0] = 1;
    for(int i = 0;i<n;i++){
        for(int j = sum;j>=arr[i];j--){
            dp[j]+=dp[j-arr[i]];
            if(dp[j]>=1e18)dp[j]%=mod;
        }
    }
    if(sum%2||(!dp[sum/2])){
        cout<<"0";
        return 0;
    }
    for(int i = (arr[0]%2?1:2);i<=sum;i+=2){su[i] = 1;}
    for(int it = 0;it<n;it++){
        for(int j = arr[it];j<=sum;j++){
            dp[j]-=dp[j-arr[it]];
            dp[j]%=mod;
            if(dp[j]<0){dp[j]%=mod;dp[j]+=mod;dp[j]%=mod;}
        }
        for(int j = (arr[0]%2?1:2);j<=sum;j+=2){
            if((sum-arr[it]+j)%2){
                su[j] = 0;
                continue;
            }
            int ne = sum-arr[it]+j;
            int d = 0;
            if(ne/2<=sum)d = (dp[ne/2]>0);
            else break;
            if(j<=ne/2&&(ne/2)-j<=sum)d|=(dp[(ne/2)-j]>0);
            if(d==0)su[j] = 0;
        }
        for(int j = sum;j>=arr[it];j--){
            dp[j]+=dp[j-arr[it]];
            if(dp[j]>=1e18)dp[j]%=mod;
        }
    }
    cout<<su.count()<<"\n";
    for(int i = 1;i<=sum;i++)if(su[i])cout<<i<<" ";
}
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