What is the space complexity of the dynamic programming solution for the Fibonacci sequence?
Practice Questions
1 question
Q1
What is the space complexity of the dynamic programming solution for the Fibonacci sequence?
O(1)
O(n)
O(n^2)
O(log n)
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.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the space complexity of the dynamic programming solution for the Fibonacci sequence?
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.
Steps: 6
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.
