#70

Climbing Stairs

Easy
MathDPMemoization

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?

Examples

Example 1
Input: n = 2
Output: 2
There are two ways to climb to the top. 1. 1 step + 1 step 2. 2 steps
Example 2
Input: n = 3
Output: 3
There are three ways to climb to the top. 1. 1 step + 1 step + 1 step 2. 1 step + 2 steps 3. 2 steps + 1 step

Constraints

  • 1 <= n <= 45
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