Dados dos números, a y b. Calcule el promedio de los dos números.
La bien conocida fórmula (a + b) / 2 puede fallar en el siguiente caso:
Si, a = b = (2^31) – 1 ; es decir, INT_MAX.
Ahora, (a+b) causará un desbordamiento y, por lo tanto, la fórmula (a + b) / 2 no funcionará
A continuación se muestra la implementación:
C++
// C++ code to compute average of two numbers
#include <bits/stdc++.h>
using namespace std;
// Function to compute average of two numbers
int compute_average(int a, int b)
{
return (a + b) / 2;
}
// Driver code
int main()
{
// Assigning maximum integer value
int a = INT_MAX, b = INT_MAX;
// Average of two equal numbers is the same number
cout << "Actual average : " << INT_MAX << endl;
// Function to get the average of 2 numbers
cout << "Computed average : " << compute_average(a, b);
return 0;
}
Java
// Java code to compute average of two numbers
import java.io.*;
class GFG {
// Function to compute average of two numbers
static int compute_average(int a, int b)
{
return (a + b) / 2;
}
// Driver code
public static void main (String[] args) {
// Assigning maximum integer value
int a = Integer.MAX_VALUE;
int b = Integer.MAX_VALUE;
// Average of two equal numbers is the same number
System.out.println("Actual average : " + Integer.MAX_VALUE);
// Function to get the average of 2 numbers
System.out.println("Computed average : " + compute_average(a, b));
}
// This code is contributed by ajit.
}
Python3
# Python 3 code to compute
# average of two numbers
import sys
from math import floor
INT_MAX = 2147483647
# Function to compute
# average of two numbers
def compute_average(a, b):
return floor((a + b) / 2)
# Driver code
if __name__ == '__main__':
# Assigning maximum integer value
a = INT_MAX
b = -INT_MAX - 1
# Average of two equal numbers
# is the same number
print("Actual average : ", INT_MAX)
# Function to get the
# average of 2 numbers
print("Computed average : ",
compute_average(a, b))
# This code is contributed by
# Surendra_Gangwar
C#
// C# code to compute average of two numbers
using System;
public class GFG{
// Function to compute average of two numbers
static int compute_average(int a, int b)
{
return (a + b) / 2;
}
// Driver code
static public void Main (){
// Assigning maximum integer value
int a =int.MaxValue;
int b = int.MaxValue;
// Average of two equal numbers is the same number
Console.WriteLine("Actual average : " + int.MaxValue);
// Function to get the average of 2 numbers
Console.WriteLine("Computed average : " + compute_average(a, b));
}
//This code is contributed by akt_mit
}
Javascript
<script>
// Javascript code to compute average of two numbers
const INT_MAX = 2147483647;
// Function to compute average of two numbers
function compute_average(a, b)
{
return Math.floor((a + b) / 2);
}
// Assigning maximum integer value
let a = INT_MAX;
let b = -INT_MAX-1;
// Average of two equal numbers is the same number
document.write("Actual average : " + INT_MAX + "</br>");
// Function to get the average of 2 numbers
document.write("Computed average : " + compute_average(a, b) + "</br>");
</script>
Producción:
Actual average : 2147483647 Computed average : -1
Complejidad de tiempo: O(1), el código se ejecutará en un tiempo constante.
Espacio auxiliar: O(1), no se requiere espacio adicional, por lo que es una constante.
Fórmula mejorada que no causa desbordamiento:
Promedio = (a / 2) + (b / 2) + (((a % 2) + (b % 2)) / 2)
A continuación se muestra la implementación:
C++
// C++ code to compute average of two numbers
#include <bits/stdc++.h>
using namespace std;
// Function to compute average of two numbers
int compute_average(int a, int b)
{
return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
}
// Driver code
int main()
{
// Assigning maximum integer value
int a = INT_MAX, b = INT_MAX;
// Average of two equal numbers is the same number
cout << "Actual average : " << INT_MAX << endl;
// Function to get the average of 2 numbers
cout << "Computed average : " << compute_average(a, b);
return 0;
}
Java
// Java code to compute
// average of two numbers
import java.io.*;
class GFG
{
// Function to compute
// average of two numbers
static int compute_average(int a,
int b)
{
return (a / 2) + (b / 2) +
((a % 2 + b % 2) / 2);
}
// Driver code
public static void main (String[] args)
{
// Assigning maximum
// integer value
int a = Integer.MAX_VALUE;
int b = Integer.MAX_VALUE;
// Average of two equal
// numbers is the same number
System.out.println("Actual average : " +
Integer.MAX_VALUE);
// Function to get the
// average of 2 numbers
System.out.print("Computed average : ");
System.out.println(compute_average(a, b));
}
}
// This code is contributed by ajit
Python3
# Python code to compute # average of two numbers INT_MAX=2147483647 # Function to compute # average of two numbers def compute_average(a,b): return (a // 2) + (b // 2) + ((a % 2 + b % 2) // 2) # Driver code if __name__ =="__main__": # Assigning maximum integer value a = INT_MAX b = INT_MAX # Average of two equal # numbers is the same number print( "Actual average : ",INT_MAX) # Function to get the # average of 2 numbers print( "Computed average : ", compute_average(a, b)) # This code is contributed # Shubham Singh(SHUBHAMSINGH10)
C#
// C# code to compute
// average of two numbers
using System;
class GFG
{
// Function to compute
// average of two numbers
static int compute_average(int a,
int b)
{
return (a / 2) + (b / 2) +
((a % 2 + b % 2) / 2);
}
// Driver code
public static void Main ()
{
// Assigning maximum
// integer value
int a = int.MaxValue;
int b = int.MaxValue;
// Average of two equal
// numbers is the same number
Console.Write("Actual average : " +
int.MaxValue+"\n");
// Function to get the
// average of 2 numbers
Console.Write("Computed average : ");
Console.Write(compute_average(a, b));
}
}
PHP
<?php
// PHP code to compute
// average of two numbers
// Function to compute
// average of two numbers
function compute_average($a,$b)
{
return ($a / 2) + ($b / 2) +
(($a % 2 + $b % 2) / 2);
}
// Driver code
// Assigning maximum
// integer value
$a = 2147483648;
$b = 2147483648;
// Average of two equal
// numbers is the same number
$x = 2147483648;
print("Actual average : ".$x);
// Function to get the
// average of 2 numbers
print("\nComputed average : ");
print(compute_average($a, $b));
// This code is contributed by princiraj1992
?>
Javascript
<script>
// javascript code to compute average of two numbers
const INT_MAX = 2147483647;
// Function to compute average of two numbers
function compute_average( a, b)
{
return parseInt(a / 2) + parseInt(b / 2) + ((a % 2 + b % 2) / 2);
}
// Driver code
// Assigning maximum integer value
let a = INT_MAX, b = INT_MAX;
// Average of two equal numbers is the same number
document.write( "Actual average : " + INT_MAX +"<br/>");
// Function to get the average of 2 numbers
document.write( "Computed average : " + compute_average(a, b));
// This code is contributed by todaysgaurav
</script>
Producción:
Actual average : 2147483647 Computed average : 2147483647
Complejidad de tiempo: O(1), el código se ejecutará en un tiempo constante.
Espacio auxiliar: O(1), no se requiere espacio adicional, por lo que es una constante.
Este artículo es una contribución de Rohit Thapliyal . Si le gusta GeeksforGeeks y le gustaría contribuir, también puede escribir un artículo usando contribuya.geeksforgeeks.org o envíe su artículo por correo a review-team@geeksforgeeks.org. Vea su artículo que aparece en la página principal de GeeksforGeeks y ayude a otros Geeks.
Escriba comentarios si encuentra algo incorrecto o si desea compartir más información sobre el tema tratado anteriormente.
Publicación traducida automáticamente
Artículo escrito por GeeksforGeeks-1 y traducido por Barcelona Geeks. The original can be accessed here. Licence: CCBY-SA