正方形是一个平面上的平面形状,由四个角的四个点定义。一个正方形有四个等长的边和四个角,都是直角(90 度角)。正方形是长方形的一种。
给定一个正方形的边和折叠次数 .任务是找到第F 次折叠后的正方形面积。
正方形的折叠如下:
- 在第一次折叠中,将正方形从左到右折叠成三角形。
- 在第二次折叠中,从上到下折叠正方形。
- 在第三次折叠中,再次从左到右折叠正方形。
例子:
Input : N = 4, F = 2
Output : 2
Explanation:
Initially square side is 4 x 4
After 1st folding, square side becomes 4 x 2
After 2nd folding, square side becomes 2 x 2
Thus area equals 2 x 2 = 4.
Input : N = 100, F = 6
Output : 156.25
方法:
- 折叠前首先计算正方形的面积。
- 每次折叠后,正方形的面积减少一半。也就是说, area = area/2 。
- 所以,我们最终将正方形的面积除以 pow(2, F)
下面是上述方法的实现:
C++
// CPP program to find
// the area of the square
#include
using namespace std;
// Function to calculate area of square after
// given number of folds
double areaSquare(double side, double fold)
{
double area = side * side;
return area * 1.0 / pow(2, fold);
}
// Driver Code
int main()
{
double side = 4, fold = 2;
cout << areaSquare(side, fold);
return 0;
}
Java
// Java program to find the area of the square
class GFG
{
// Function to calculate area of square
// after given number of folds
static double areaSquare(double side,
double fold)
{
double area = side * side;
return area * 1.0 / Math.pow(2, fold);
}
// Driver Code
public static void main(String []args)
{
double side = 4, fold = 2;
System.out.println(areaSquare(side, fold));
}
}
// This code is contributed
// by aishwarya.27
Python3
# Python3 program to find the area
# of the square
# Function to calculate area of
# square after given number of folds
def areaSquare(side, fold) :
area = side * side
ans = area / pow(2, fold)
return ans
# Driver Code
if __name__ == "__main__" :
side = 4
fold = 2
print(areaSquare(side, fold))
# This code is contributed by Ryuga
C#
// C# program to find the area of the square
using System;
class GFG
{
// Function to calculate area of square
// after given number of folds
static double areaSquare(double side,
double fold)
{
double area = side * side;
return area * 1.0 / Math.Pow(2, fold);
}
// Driver Code
public static void Main()
{
double side = 4, fold = 2;
Console.Write(areaSquare(side, fold));
}
}
// This code is contributed
// by Akanksha Rai
PHP
Javascript
输出:
4