# 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 a^{n} and b^{n}.**Examples:**

Input:a = 3, b = 4, n = 5Output:b^n is greater than a^n

Value of a^{n}is 243 and the value of b^{n}is 1024.

So, b^{n}is greater than a^{n}.Input:a = -3, b = 2, n = 4Output:a^n is greater than b^n

Value of a^{n}is 243 and the value of b^{n}is 16.

So, a^{n}is greater than b^{n}.

**Basic Approach:** For every value of a, b and n, calculate the values of a^{n} and b^{n}. 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 a^{n} 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 <bits/stdc++.h>` `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

`<?php` `// PHP code for finding greater` `// between the a^n and b^n` `// Function to find` `// the greater value` `function` `findGreater(` `$a` `, ` `$b` `, ` `$n` `)` `{` ` ` `// If n is even` ` ` `if` `(!(` `$n` `& 1))` ` ` `{` ` ` `$a` `= ` `abs` `(` `$a` `);` ` ` `$b` `= ` `abs` `(` `$b` `);` ` ` `}` ` ` `if` `(` `$a` `== ` `$b` `)` ` ` `echo` `"a^n is equal to b^n"` `;` ` ` `else` `if` `(` `$a` `> ` `$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

`<script>` `// Javascript code for finding greater` `// between the a^n and b^n` ` ` `// Function to find` ` ` `// the greater value` ` ` `function` `findGreater(a , b , n)` ` ` `{` ` ` `// If n is even` ` ` `if` `(!((n & 1) > 0)) {` ` ` `a = Math.abs(a);` ` ` `b = Math.abs(b);` ` ` `}` ` ` `if` `(a == b)` ` ` `document.write(` `"a^n is "` `+ ` `"equal to b^n"` `);` ` ` `else` `if` `(a > b)` ` ` `document.write(` `"a^n is greater "` `+ ` `"than b^n"` `);` ` ` `else` ` ` `document.write(` `"b^n is greater "` `+ ` `"than a^n"` `);` ` ` `}` ` ` `// Driver code` ` ` ` ` `var` `a = 12, b = 24, n = 5;` ` ` `findGreater(a, b, n);` `// This code is contributed by todaysgaurav` `</script>` |

**Output:**

b^n is greater than a^n