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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
  • a)
    n(X+Y)
  • b)
    3Y+2X
  • c)
    n(X+Y)-X
  • d)
    Y+2X
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let S be a stack of size n ≥1. Starting with the empty stack, suppo...
let us represent stack-life of ith element as S(i). The ith element will be in stack till (n-i) elements are pushed and popped. Plus one more Y for the time interval between the push of   ith  element and the i+1th element. So, 
 
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Let S be a stack of size n ≥1. Starting with the empty stack, suppo...
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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 isa)n(X+Y)b)3Y+2Xc)n(X+Y)-Xd)Y+2XCorrect answer is option 'C'. Can you explain this answer?
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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 isa)n(X+Y)b)3Y+2Xc)n(X+Y)-Xd)Y+2XCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about 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 isa)n(X+Y)b)3Y+2Xc)n(X+Y)-Xd)Y+2XCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 isa)n(X+Y)b)3Y+2Xc)n(X+Y)-Xd)Y+2XCorrect answer is option 'C'. Can you explain this answer?.
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