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  1. #include <iostream>
  2. #include <bits/stdc++.h>
  3. #include <cmath>
  4. #include <numeric>
  5. using namespace std;
  6.  
  7. double power(double mid,int nth,double number){
  8.     double result=1.0;
  9.     for(int i=1;i<=nth;i++){
  10.         result*=mid;
  11.     }
  12.     return result;
  13. }
  14.  
  15. double nthroot(int nth,double number){
  16.     double low=1.0;
  17.     double high=number;
  18.     double eps=1e-6;
  19.     while(high-low > eps ){
  20.         double mid=(low+high)/2.0;
  21.         if(power(mid,nth,number)==number){
  22.             return mid;
  23.         }
  24.         else if(power(mid,nth,number)>number){
  25.             high=mid;
  26.         }
  27.  
  28.         else{
  29.             low=mid;
  30.         }
  31.     }
  32.     return low;
  33. }
  34.  
  35. int main(){
  36.     int nth;
  37.     double number;
  38.     cin>>nth;
  39.  
  40.     cin>>number;
  41.     double ans=nthroot(nth,number);
  42.     cout<<nth<<"th root of "<<number<<": "<<ans<<endl;
  43.     return 0;
  44. }
Success #stdin #stdout 0.01s 5312KB
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stdin
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3
81
stdout
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3th root of 81: 4.32675
https://ideone.com/W0khJc
language:
C++ (gcc 8.3)
created:
3 days ago
visibility:
public

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