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🔥Climbing Stairs: Dynamic Step CombinationsEasy
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EasyDynamic Programming•Acceptance: 52.8%

Climbing Stairs: Dynamic Step Combinations

Targeted in FAANG & Tech OA:AmazonGoogleUber
Real-World Engineering Context
Fibonacci state transition modeling in CPU instruction pipeline scheduling and branch predictor warm-up cycles.
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?

Sample Test Cases

Input: [2]
Expected: 2
Input: [3]
Expected: 3
Input: [5]
Expected: 8
Input: [1]
Expected: 1

Constraints

  • 1 <= n <= 45
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