h - Annuity payment scheme

#include <bits/stdc++.h>

#define bps 1e-7
#define eps 1e-8

using namespace std;


double s,p;
int m;

int mo(double b0){
    double co = s, x = s*p + b0, a, b;
    for(int i = 0; i < m; i++){
        a = co*p;
        b = x - a;
        co -= b;
    }
    if(co < eps) return 1;
    else return -1;
}

int main(){
    ios_base::sync_with_stdio(0);
    #ifdef ONLINE_JUDGE
    freopen("input.txt", "rb", stdin);
    freopen("output.txt", "w", stdout);
    #endif

    while(cin >> s >> m >> p){
        p /= 100;

        double lo = 0, hi = s, mi;
        while(hi-lo > bps){
            mi = (lo+hi)/2;

            if(mo(mi) < 0) lo = mi;
            else hi = mi;
        }
        cout << fixed << setprecision(6) << hi + s*p << '\n';
    }
}