Submission #575115

#TimeUsernameProblemLanguageResultExecution timeMemory
575115MohammadAghilBootfall (IZhO17_bootfall)C++14
44 / 100
245 ms262144 KiB
      #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 = 5e2+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;}
 
ll dp[maxn][maxn*maxn];
 
int main(){
     cin.tie(0) -> sync_with_stdio(0);
     int n; cin >> n;
     assert(n > 0);
     vector<int> a(n);
     int sum = 0;
     rep(i,0,n) cin >> a[i], sum += a[i], assert(a[i] <= 500);
     assert(n <= 500);
     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, assert(dp[n][j] < mod); 
     assert(sum < maxn*maxn);
     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(dp[k][j] >= 0 && dp[k][j] < mod);
     }
     // 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) {
                    ok = false;
                    break;
               }
               assert(t < maxn*maxn);
               if(!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; 
}
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