Submission #3196765

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Source Code Expand

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
//#define P pair<ll,ll>
#define FOR(I,A,B) for(ll I = (A); I < (B); ++I)
#define FORR(I,A,B) for(ll I = (B-1); I >= (A); --I)
#define SORT(x) (sort(x.begin(),x.end())) // 0 2 2 3 4 5 8 9
#define REV(x) (reverse(x.begin(),x.end())) //reverse
ll gcd(ll a,ll b){if(a<b)swap(a,b);if(a%b==0)return b;else return gcd(b,a%b);}
ll lcm(ll a,ll b){ll c=gcd(a,b);return ((a/c)*(b/c)*c);}//saisyo kobaisu
#define NEXTP(x) next_permutation(x.begin(),x.end())
const ll INF=1e18+7;
const ll MOD=1e9+7;

int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	long double x,y,z;
	cin >> x >> y >> z;
	long double A = atan(y/x);
	long double L = sqrt(x*x+y*y);
	long double P = x*z/L;
	long double C = z*sin(A);
	long double ans = x - y*(x-P)/(y+C);
	cout << fixed;
	cout << setprecision(11) << ans << endl;
}

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