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A function f defined on stacks of integers satisfies the following properties. f(∅) = 0 and f (push (S, i)) = max (f(S), 0) + i for all stacks S and integers i.
If a stack S contains the integers 2, -3, 2, -1, 2 in order from bottom to top, what is f(S)?
  • a)
    6
  • b)
    4
  • c)
    3
  • d)
    2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A function f defined on stacks of integers satisfies the following pro...
f(S) = 0, max(f(S), 0) = 0, i = 2
f(S)new = max(f(S), 0) + i = 0 + 2 = 2
f(S) = 2, max(f(S), 0) = 2, i = -3
f(S)new = max(f(S), 0) + i = 2 – 3 = -1
f(S) = -1, max(f(S), 0) = 0, i = 2
f(S)new = max(f(S), 0) + i = 0 + 2 = 2
f(S) = 2, max(f(S), 0) = 2, i = -1
f(S)new = max(f(S), 0) + i = 2 – 1 = 1
f(S) = 1, max(f(S), 0) = 1, i = 2
f(S)new = max(f(S), 0) + i = 1 + 2 = 3
 
Thus, option (C) is correct.
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Community Answer
A function f defined on stacks of integers satisfies the following pro...
Sorry, but I can't generate a response without more information about the properties. Could you please provide more details?
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A function f defined on stacks of integers satisfies the following properties. f(∅) = 0 and f (push (S, i)) = max (f(S), 0) + i for all stacks S and integers i.If a stack S contains the integers 2, -3, 2, -1, 2 in order from bottom to top, what is f(S)?a)6b)4c)3d)2Correct answer is option 'C'. Can you explain this answer?
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