Submission #1611064

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Source Code Expand

#include <iostream>
#include <string>
#include <algorithm>
#include <queue>
#include <cmath>

using namespace std;
using ll = long long;
template<class T> using V = vector<T>;

using R = double;
int main() {
    R x, y, z;
    cin >> x >> y >> z;

    R a = sqrt(x*x+y*y);
    R th = asin(y/a);
    R b = sqrt(a*a + z*z - 2*z*a * cos(2*th));
    R c = a/(z+a)*b;
    R d = sqrt(c*c-y*y);
    R ans = x-d;
    printf("%.20lf\n", ans);
    return 0;
}

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