ZOJ 2818 a^n=b <=> a=b^(1/n)

Root of the Problem

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Time Limit: 1 Second      Memory Limit: 32768 KB

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Given positive integers B and N, find an integer A such that A^N is as close as possible to B. (The result A is an approximation to the Nth root of B.) Note that A^N may be less than, equal to, or greater than B.

Input: The input consists of one or more pairs of values for B and N. Each pair appears on a single line, delimited by a single space. A line specifying the value zero for both B and N marks the end of the input. The value of B will be in the range 1 to 1,000,000 (inclusive), and the value of N will be in the range 1 to 9 (inclusive).

Output: For each pair B and N in the input, output A as defined above on a line by itself.

Example Input:	Example Output:
4 3 5 3 27 3 750 5 1000 5 2000 5 3000 5 1000000 5 0 0	1 2 3 4 4 4 5 1

#include <iostream>
#include <cmath>
using namespace std;
int main(){
    double b,n;
    while(cin>>b>>n,b!=0 && n!=0){
        int a= (int )pow(b,1/n);
        if(b-pow(a,n)<pow(a+1,n)-b) cout<<a<<endl;
        else cout<<a+1<<endl;
    }
    return 0;
}