题解 | #求小球落地5次后所经历的路程和第5次反弹的高度#

def calculate_ball_path(height):
    # 计算第5次反弹高度
    final_height = height / (2 ** 5)
    
    # 计算总路程
    total_distance = height  # 第一次落地
    for i in range(4):  # 后续4次弹跳
        bounce_height = height / (2 ** (i + 1))
        total_distance += bounce_height * 2  # 上升+下降的距离
        
    return total_distance, final_height

def main():
    height = float(input())
    distance, final_height = calculate_ball_path(height)
    print(f"{distance}")
    print(f"{final_height}")

if __name__ == "__main__":
    main()

import java.util.Scanner;

public class Main {
    public static double[] calculateBallPath(double height) {
        // 计算第5次反弹高度
        double finalHeight = height / Math.pow(2, 5);
        
        // 计算总路程
        double totalDistance = height;  // 第一次落地
        for (int i = 0; i < 4; i++) {  // 后续4次弹跳
            double bounceHeight = height / Math.pow(2, i + 1);
            totalDistance += bounceHeight * 2;  // 上升+下降的距离
        }
        
        return new double[]{totalDistance, finalHeight};
    }
    
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        double height = scanner.nextDouble();
        double[] result = calculateBallPath(height);
        System.out.println(result[0]);
        System.out.println(result[1]);
        scanner.close();
    }
}

#include <iostream>
#include <cmath>
using namespace std;

pair<double, double> calculateBallPath(double height) {
    // 计算第5次反弹高度
    double finalHeight = height / pow(2, 5);
    
    // 计算总路程
    double totalDistance = height;  // 第一次落地
    for (int i = 0; i < 4; i++) {  // 后续4次弹跳
        double bounceHeight = height / pow(2, i + 1);
        totalDistance += bounceHeight * 2;  // 上升+下降的距离
    }
    
    return {totalDistance, finalHeight};
}

int main() {
    double height;
    cin >> height;
    
    auto [distance, finalHeight] = calculateBallPath(height);
    cout << distance << endl;
    cout << finalHeight << endl;
    
    return 0;
}