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1. (a) Let S be a stack of size n 1. Starting withthe stack bearing first n natural numbers (highestnumber on top of stack), three elements are poppedif top of stack is even, and one element (the numbernext to the one in top of stack) is pushed if top ofstack is odd. These operations continue until thestack is empty or there are insufficient number ofelements so that three pops cannot be done.(i) How many elements will be finally left in stackwhen three elements cannot be further popped outdue