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What is the space complexity of the dynamic programming solution for the Fibonac

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Question: What is the space complexity of the dynamic programming solution for the Fibonacci sequence?

Options:

  1. O(1)
  2. O(n)
  3. O(n^2)
  4. O(log n)

Correct Answer: O(n)

Solution: 

The space complexity of the dynamic programming solution for the Fibonacci sequence can be optimized to O(1) by storing only the last two computed values.

What is the space complexity of the dynamic programming solution for the Fibonac

Practice Questions

Q1
What is the space complexity of the dynamic programming solution for the Fibonacci sequence?
  1. O(1)
  2. O(n)
  3. O(n^2)
  4. O(log n)

Questions & Step-by-Step Solutions

What is the space complexity of the dynamic programming solution for the Fibonacci sequence?
  • Step 1: Understand what Fibonacci sequence is. It is a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1.
  • Step 2: Know that a dynamic programming solution typically involves storing previously computed values to avoid redundant calculations.
  • Step 3: Realize that in the Fibonacci sequence, you only need the last two numbers to compute the next number.
  • Step 4: Instead of storing all Fibonacci numbers in an array, you can just keep track of the last two numbers.
  • Step 5: This means you only need a fixed amount of space (for the two numbers), regardless of how large the Fibonacci number you are calculating is.
  • Step 6: Therefore, the space complexity is O(1), which means it uses constant space.
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