Given positive integers x and n, return a positive integer, y, which is the nth term in the Juggler sequence beginning with x.

The Juggler sequence is defined by:

a(i+1) = floor(a(i)^0.5) , for even a(i).

a(i+1) = floor(a(i)^1.5) , for odd a(i).

For the purpose of this problem, the first element in the sequence is a(1) = x.

Example:

x = 3

n = 5

y = 6

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Last Solution submitted on Dec 18, 2025

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