sicily 1394. Root of the Problem

#include<iostream>
#include<cmath>
#include<cstdlib>
using namespace std;
int main()
{
    int b,n,s,t,s1,t1;
    while(cin>>b>>n&&b)
    {
        s=floor(pow(double(b),1.0/n));
        t=ceil(pow(double(b),1.0/n));
        if(s==t)
            cout<<s<<endl;
        else
        {
            s1=pow(double(s),double(n));
            t1=pow(double(t),double(n));
            if(abs(s1-b)<abs(t1-b))
                cout<<s<<endl;
            else
                cout<<t<<endl;
        }
    }
    return 0;
}