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  1. #include<bits/stdc++.h>
  2. using namespace std;
  3. using namespace chrono;
  4. long long int h,c,t;
  5. // Calculating the absolute difference 
  6. long double tempdiff(long long int nofcups){   
  7.     long long int hotcups=ceil((nofcups*1.0)/2);
  8.     long long int coldcups=floor((nofcups*1.0)/2);
  9.     long double tb=((hotcups*h +coldcups*c)*1.0)/nofcups;
  10.     long double diff=abs(tb-t);
  11.     return diff;
  12. }
  13. // Ternary searching over answer space
  14. long long int MinCupsTern(){
  15.     long long int low=1;
  16.     long long int high=1e12;
  17.     while(high>low+2){
  18.         long long int mid1=low+(high-low)/3;
  19.         long long int mid2=high-(high-low)/3;
  20.         // cout<<mid1<<" "<<mid2<<endl;
  21.         long double tempdiff1=tempdiff(mid1);
  22.         long double tempdiff2=tempdiff(mid2);
  23.         if(tempdiff1>tempdiff2)
  24.         low=mid1;
  25.         else
  26.         high=mid2;
  27.  
  28.     }
  29.     long long int ans=0;
  30.     long double k=1e18;
  31.     for(long long int i=low;i<=high;i++)
  32.     {
  33.         long double temp=tempdiff(i);
  34.         if(k>temp)
  35.         {
  36.             k=temp;
  37.             ans=i;
  38.         }
  39.  
  40.     }
  41.     return ans;
  42. }
  43.  
  44.  
  45. int main()
  46. {
  47.   int T;
  48. cin>>T;
  49. while(T--)
  50. {
  51.     cin>>h>>c>>t;
  52.     cout<<MinCupsTern()<<endl;
  53. }
  54. return 0;
  55. }
Success #stdin #stdout 0.05s 5568KB
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https://ideone.com/7q32JO
language:
C++14 (gcc 8.3)
created:
2 years ago
visibility:
public

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