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#include <bits/stdc++.h>
#define pb push_back
#define rep(i,n) for(int i = 0; i < n; i++)
#define ll long long
 
using namespace std;
int n,x,tot,ans1,ans2=11111111;
int memo[100005][101];
vector<int> v;
int solve(int sum,int step,int chosen)
{
   if(chosen==n/2) if(ans2-ans1>abs(abs(tot-2*sum))) { ans2=max(tot-sum,sum);ans1=min(tot-sum,sum); }
   if(sum>tot||step>=n) return 0;
 
   if(memo[sum][step]!=-1) return memo[sum][step];
 
   solve(sum+v[step],step+1,chosen+1);
   solve(sum,step+1,chosen);
   return memo[sum][step] = sum ;
}
 
int main()
{
     int tc;
     cin >> tc ;
     rep(qq,tc)
     {
          cin >> n ;
          v.clear();
          tot=0;
          rep(i,n)
          {
              cin >> x ;
              v.pb(x);
              tot+=x;
          }
 
          memset(memo, -1, sizeof(memo));
          solve(0,0,0);
          cout << "Case " << qq+1 << ": " << ans1 << " " <<ans2 <<endl;
     }
     return 0;
}

Time limit exceeded #stdin #stdout 5s 42184KB

stdin

Standard input is empty

stdout

Case 1: 0 0
Case 2: 0 0
Case 3: 0 0
Case 4: 0 0
Case 5: 0 0
Case 6: 0 0
Case 7: 0 0
Case 8: 0 0
Case 9: 0 0
Case 10: 0 0
Case 11: 0 0
Case 12: 0 0
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Case 338: 0 0
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Case 342: 0 0
Case 343: 0 0
Case 344: 0 0
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Case 346: 0 0
Case 347: 0 0
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Case 350: 0 0
Case 351: 0 0
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Case 354: 0 0
Case 355: 0 0
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Case 359: 0 0
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Case 363: 0 0
Case 364: 0 0
Case 365: 0 0
Case 366: 0 0
Case 367: 0 0
Case 368: 0 0
Case 369: 0 0
Case 370: 0 0
Case 371: 0 0
Case 372: 0 0
Case 373: 0 0
Case 374: 0 0
Case 375: 0 0
Case 376: 0 0
Case 377: 0 0
Case 378: 0 0
Case 379: 0 0
Case 380: 0 0
Case 381: 0 0
Case 382: 0 0
Case 383: 0 0
Case 384: 0 0
Case 385: 0 0
Case 386: 0 0
Case 387: 0 0
Case 388: 0 0
Case 389: 0 0
Case 390: 0 0
Case 391: 0 0
Case 392: 0 0
Case 393: 0 0
Case 394: 0 0
Case 395: 0 0
Case 396: 0 0
Case 397: 0 0
Case 398: 0 0
Case 399: 0 0

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