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# Program to find greater value between a^n and b^n

Given three integers a, b and n, the task is to find out greater value between an and bn.
Examples:

Input: a = 3, b = 4, n = 5
Output: b^n is greater than a^n
Value of an is 243 and the value of bn is 1024.
So, bn is greater than an.
Input: a = -3, b = 2, n = 4
Output: a^n is greater than b^n
Value of an is 243 and the value of bn is 16.
So, an is greater than bn

Basic Approach: For every value of a, b and n, calculate the values of an and bn. Then compare the result obtained and display the according to output.
The problem with this approach arises when there are large values of a, b and n. For large values of a, n, calculating an can exceed the limit of integer which will cause integer overflow.
Better approach is to check the value of n.

• If n is even then calculate the absolute value of a and b.
• If n is odd then take the given value as it is.
• Now check if a is equal to b. If yes, print 0.
• If a is greater than b, print 1.
• Otherwise, print 2.

## C++

 `// C++ code for finding greater``// between the a^n and b^n``#include ``using` `namespace` `std;` `// Function to find the greater value``void` `findGreater(``int` `a, ``int` `b, ``int` `n)``{``    ``// If n is even``    ``if` `(!(n & 1)) {` `        ``a = ``abs``(a);``        ``b = ``abs``(b);``    ``}``    ``if` `(a == b)``        ``cout << ``"a^n is equal to b^n"``;` `    ``else` `if` `(a > b)``        ``cout << ``"a^n is greater than b^n"``;` `    ``else``        ``cout << ``"b^n is greater than a^n"``;``}` `// Driver code``int` `main()``{``    ``int` `a = 12, b = 24, n = 5;``    ``findGreater(a, b, n);``    ``return` `0;``}`

## Java

 `// JAVA code for finding greater``// between the a^n and b^n``import` `java.io.*;` `class` `GFG``{``    ``// Function to find``    ``// the greater value``    ``static` `void` `findGreater(``int` `a,``                            ``int` `b, ``int` `n)``{``    ``// If n is even``    ``if` `(!((n & ``1``) > ``0``))``    ``{` `        ``a = Math.abs(a);``        ``b = Math.abs(b);``    ``}``    ``if` `(a == b)``        ``System.out.println(``"a^n is "` `+``                           ``"equal to b^n"``);` `    ``else` `if` `(a > b)``        ``System.out.println(``"a^n is greater "` `+``                                  ``"than b^n"``);` `    ``else``        ``System.out.println(``"b^n is greater "` `+``                                  ``"than a^n"``);``}` `// Driver code``public` `static` `void` `main (String[] args)``{``int` `a = ``12``, b = ``24``, n = ``5``;``findGreater(a, b, n);``}``}` `// This code is contributed``// by shiv_bhakt.`

## Python3

 `# Python3 code for finding greater``# between the a^n and b^n``import` `math` `# Function to find the greater value``def` `findGreater(a, b, n):` `    ``# If n is even``    ``if` `((n & ``1``) > ``0``):` `        ``a ``=` `abs``(a);``        ``b ``=` `abs``(b);``    ``if` `(a ``=``=` `b):``        ``print``(``"a^n is equal to b^n"``);` `    ``elif` `(a > b):``        ``print``(``"a^n is greater than b^n"``);` `    ``else``:``        ``print``(``"b^n is greater than a^n"``);` `# Driver code``a ``=` `12``;``b ``=` `24``;``n ``=` `5``;``findGreater(a, b, n);` `# This code is contributed by mits`

## C#

 `// C# code for finding greater``// between the a^n and b^n``using` `System;` `class` `GFG``{``    ``// Function to find``    ``// the greater value``    ``static` `void` `findGreater(``int` `a,``                            ``int` `b,``                            ``int` `n)``    ``{``    ``// If n is even``    ``if` `(!((n & 1) > 0))``    ``{` `        ``a = Math.Abs(a);``        ``b = Math.Abs(b);``    ``}``    ` `    ``if` `(a == b)``        ``Console.WriteLine(``"a^n is "` `+``                          ``"equal to b^n"``);` `    ``else` `if` `(a > b)``        ``Console.WriteLine(``"a^n is greater "` `+``                                 ``"than b^n"``);` `    ``else``        ``Console.WriteLine(``"b^n is greater "` `+``                                 ``"than a^n"``);``}` `// Driver code``public` `static` `void` `Main()``{``    ``int` `a = 12, b = 24, n = 5;``    ``findGreater(a, b, n);``}``}` `// This code is contributed``// by shiv_bhakt.`

## PHP

 ` ``\$b``)``        ``echo` `"a^n is greater than b^n"``;` `    ``else``        ``echo` `"b^n is greater than a^n"``;``}` `// Driver code``\$a` `= 12; ``\$b` `= 24; ``\$n` `= 5;``findGreater(``\$a``, ``\$b``, ``\$n``);` `// This code is contributed by ajit``?>`

## Javascript

 ``

Output:

`b^n is greater than a^n`

Time Complexity:O(1)

Auxiliary Space: O(1)