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.
Input: X = 4, Y = 9 Output: 1 Input: X = 4, Y = 3 Output: 2
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)
- Find maximum value of x such that n! % (k^x) = 0
- Find the maximum possible value of a[i] % a[j] over all pairs of i and j
- Find maximum xor of k elements in an array
- Find pair with maximum GCD in an array
- Find three integers less than or equal to N such that their LCM is maximum
- Find the maximum element in the array other than Ai
- Find maximum operations to reduce N to 1
- Find a positive number M such that gcd(N^M, N&M) is maximum
- Find permutation with maximum remainder Sum
- Find a pair from the given array with maximum nCr value
- Find the maximum number of handshakes
- Find the maximum length of the prefix
- Find the node whose sum with X has maximum set bits
- Given count of digits 1, 2, 3, 4, find the maximum sum possible
- Find sum of a number and its maximum prime factor
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.