La esfera más grande que se puede inscribir dentro de un cubo.

Dado que aquí hay un cubo de longitud de lado a , la tarea es encontrar la esfera más grande que se puede inscribir dentro de él.
Ejemplos: 
 

Input: a = 4
Output: 2

Input: a = 5
Output: 2.5

Enfoque : 
 

Del diagrama 2d está claro que, 2r = a , 
donde, a = lado del cubo 
r = radio de la esfera 
entonces r = a/2 .

A continuación se muestra la implementación del enfoque anterior:
 

// C++ Program to find the biggest sphere
// inscribed within a cube
#include <bits/stdc++.h>
using namespace std;
 
// Function to find the radius of the sphere
float sphere(float a)
{
 
    // side cannot be negative
    if (a < 0)
        return -1;
 
    // radius of the sphere
    float r = a / 2;
 
    return r;
}
 
// Driver code
int main()
{
    float a = 5;
    cout << sphere(a) << endl;
 
    return 0;
}

// Java Program to find the biggest sphere
// inscribed within a cube
 
class GFG{
// Function to find the radius of the sphere
static float sphere(float a)
{
 
    // side cannot be negative
    if (a < 0)
        return -1;
 
    // radius of the sphere
    float r = a / 2;
 
    return r;
}
 
// Driver code
public static void main(String[] args)
{
    float a = 5;
    System.out.println(sphere(a));
 
}
}
// This code is contributed by mits

# Python 3 Program to find the biggest
# sphere inscribed within a cube
 
# Function to find the radius
# of the sphere
def sphere(a):
     
    # side cannot be negative
    if (a < 0):
        return -1
 
    # radius of the sphere
    r = a / 2
 
    return r
 
# Driver code
if __name__ == '__main__':
    a = 5
    print(sphere(a))
 
# This code is contributed
# by SURENDRA_GANGWAR

// C# Program to find the biggest
// sphere inscribed within a cube
using System;
 
class GFG
{
// Function to find the radius
// of the sphere
static float sphere(float a)
{
 
    // side cannot be negative
    if (a < 0)
        return -1;
 
    // radius of the sphere
    float r = a / 2;
 
    return r;
}
 
// Driver code
static public void Main ()
{
    float a = 5;
    Console.WriteLine(sphere(a));
}
}
 
// This code is contributed by ajit

<?php
// PHP Program to find the biggest
// sphere inscribed within a cube
 
// Function to find the radius
// of the sphere
function sphere($a)
{
 
    // side cannot be negative
    if ($a < 0)
        return -1;
 
    // radius of the sphere
    $r = ($a / 2);
 
    return $r;
}
 
// Driver code
$a = 5;
echo sphere($a);
 
// This code is contributed by akt_mit
?>

<script>
// javascript Program to find the biggest sphere
// inscribed within a cube
 
// Function to find the radius of the sphere
function sphere(a)
{
 
    // side cannot be negative
    if (a < 0)
        return -1;
 
    // radius of the sphere
    var r = a / 2;
    return r;
}
 
// Driver code
var a = 5;
document.write(sphere(a));
 
// This code is contributed by 29AjayKumar
</script>

2.5

Complejidad de tiempo: O(1)

Espacio Auxiliar: O(1)