Let s be a stack of size n>=1. Starting with the empty stack, suppose we push the first n natural numbers in sequence, and then perform n pop operations. Assume that Push and Pop operations take X seconds each, and Y seconds elapse between the end of one such stack operation and the start of the next operation. For m>=1, define the stack-life of m as the time elapsed from the end of Push(m) to the start of the pop operation that removes m from s. The average stack-life of an element of this stack is ?

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