Question: x is an integer. All nodes in a BST T are primes. Design an algorithm to check xs primality. If x is a prime and

x is an integer. All nodes in a BST T are primes.

Design an algorithm to check xs primality.

If x is a prime and its key exists in the BTS already, return 1; if x is a prime but its key does not exist in the BTS , insert it into the BST; if x is not a prime, return 0.

(pseudo code required with proper input and outputs ) and calculate time complexity

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