# Find maximum among x^(y^2) or y^(x^2) where x and y are given

Given X and Y whose values are greater than 2, the task is to find out which is maximum among

x^(y^2) and y^(x^2)

Consider that either x is greater than y or y is greater than x. So, print 1 if x^(y^2) is greater or 2 if y^(x^2) is greater.

Examples:

```Input: X = 4, Y = 9
Output: 1

Input: X = 4, Y = 3
Output: 2
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: Assume , then after taking ln on both sides and dividing by we can get .

Take . This function is monotonically decreasing for . `If x > y, then F(x) < F(y)`

## C++

 `// C++ program to find the greater value ` `#include ` `using` `namespace` `std; ` ` `  `// Function to find maximum ` `bool` `findGreater(``int` `x, ``int` `y) ` `{ ` `    ``// Case 1 ` `    ``if` `(x > y) { ` `       ``return` `false``; ` `    ``} ` ` `  `    ``// Case 2 ` `    ``else` `{ ` `        ``return` `true``; ` `    ``} ` `} ` ` `  `// Driver Code ` `int` `main() ` `{ ` `    ``int` `x = 4; ` `    ``int` `y = 9; ` ` `  `    ``findGreater(x, y) ? cout << ``"1\n"`  `                      ``: cout << ``"2\n"``; ` ` `  `   ``return` `0; ` `} `

## Java

 `// Java program to find ` `// the greater value ` `import` `java.io.*; ` ` `  `class` `GFG  ` `{ ` ` `  `// Function to find maximum ` `static` `boolean` `findGreater(``int` `x,    ` `                           ``int` `y) ` `{ ` `    ``// Case 1 ` `    ``if` `(x > y) ` `    ``{ ` `        ``return` `false``; ` `    ``} ` ` `  `    ``// Case 2 ` `    ``else`  `    ``{ ` `        ``return` `true``; ` `    ``} ` `} ` ` `  `// Driver Code ` `public` `static` `void` `main (String[] args)  ` `{ ` `    ``int` `x = ``4``; ` `    ``int` `y = ``9``; ` `     `  `    ``if``(findGreater(x, y)) ` `    ``System.out.println(``"1"``); ` `    ``else` `    ``System.out.println(``"2"``); ` `} ` `} ` ` `  `// This code is contributed ` `// by inder_verma. `

## Python3

 `# Python3 program to find ` `# the greater value ` ` `  `# Function to find maximum ` `def` `findGreater(x, y): ` `     `  `    ``# Case 1 ` `    ``if` `(x > y):  ` `        ``return` `False``; ` ` `  `    ``# Case 2 ` `    ``else``: ` `        ``return` `True``; ` ` `  `# Driver Code ` `x ``=` `4``; ` `y ``=` `9``; ` `if``(findGreater(x, y)): ` `    ``print``(``"1"``); ` `else``: ` `    ``print``(``"2"``); ` ` `  `# This code is contributed ` `# by mits `

## C#

 `// C# program to find ` `// the greater value ` `using` `System; ` ` `  `class` `GFG  ` `{ ` ` `  `// Function to find maximum ` `static` `bool` `findGreater(``int` `x,  ` `                        ``int` `y) ` `{ ` `    ``// Case 1 ` `    ``if` `(x > y) ` `    ``{ ` `        ``return` `false``; ` `    ``} ` ` `  `    ``// Case 2 ` `    ``else` `    ``{ ` `        ``return` `true``; ` `    ``} ` `} ` ` `  `// Driver Code ` `public` `static` `void` `Main ()  ` `{ ` `    ``int` `x = 4; ` `    ``int` `y = 9; ` `     `  `    ``if``(findGreater(x, y)) ` `        ``Console.WriteLine(``"1"``); ` `    ``else` `        ``Console.WriteLine(``"2"``); ` `} ` `} ` ` `  `// This code is contributed ` `// by inder_verma. `

## PHP

 ` ``\$y``)  ` `    ``{ ` `        ``return` `false; ` `    ``} ` ` `  `    ``// Case 2 ` `    ``else`  `    ``{ ` `        ``return` `true; ` `    ``} ` `} ` ` `  `// Driver Code ` `\$x` `= 4; ` `\$y` `= 9; ` `if``(findGreater(``\$x``, ``\$y``) == true) ` `    ``echo``(``"1\n"``); ` `else` `    ``echo``(``"2\n"``); ` ` `  `// This code is contributed ` `// by inder_verma ` `?> `

Output:

```1
```

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