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Problem: Climbing Stairs

Easy
15 min
Explore how to apply dynamic programming techniques to solve the climbing stairs problem where you can take one or two steps at a time. Understand how to calculate the number of distinct ways to reach the top efficiently, with a focus on time and space complexity optimization.

Statement

You are climbing a staircase. It takes n steps to reach the top. Each time, you can either climb 11 or 22 steps. In how many distinct ways can you climb to the top?

Constraints:

  • 11 \leq n 45\leq 45
Problem
Ask
Submissions

Problem: Climbing Stairs

Easy
15 min
Explore how to apply dynamic programming techniques to solve the climbing stairs problem where you can take one or two steps at a time. Understand how to calculate the number of distinct ways to reach the top efficiently, with a focus on time and space complexity optimization.

Statement

You are climbing a staircase. It takes n steps to reach the top. Each time, you can either climb 11 or 22 steps. In how many distinct ways can you climb to the top?

Constraints:

  • 11 \leq n 45\leq 45