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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