Climbing Stairs
Easy
Math
Dynamic Programming
Memoization
You are climbing a staircase. It takes `n` steps to reach the top. Each time you can either climb `1` or `2` steps. In how many distinct ways can you climb to the top?
Example 1
Input: n = 2
Output: 2
Explanation: 1. 1 step + 1 step 2. 2 steps
Example 2
Input: n = 3
Output: 3
Explanation: 1. 1+1+1 2. 1+2 3. 2+1

Constraints

  • 1 <= n <= 45
Time Complexity
O(n)
Space Complexity
O(1)
14
Case 1
Input: 2
Expected: 2
Case 2
Input: 3
Expected: 3