Programming Practice: The Laurel-Hardy Story

p10792.cpp

#include <iostream>
#include <cmath>
#include <iomanip>

double compute_h2(double r, double d, double h1) {
    double t = -2.0 * std::acos((r - d) / r);
    double x = std::sqrt(r * r - (r - h1) * (r - h1));
    return ((h1 - r) * std::cos(t)) + (x * std::sin(t)) + r;
}

int main() {
    std::size_t N;
    while(std::cin >> N) {
        for (int i = 1; i <= N; ++i) {
            int r, d, h1;
            std::cin >> r >> d >> h1;
            std::cout << "Case " << i << ": "
                      << std::fixed << std::setprecision(4)
                      << compute_h2(r, d, h1) << std::endl;
        }
    }
    return 0;
}