LeetCode-in-Dart

70. Climbing Stairs

Easy

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: There are two ways to climb to the top.

  1. 1 step + 1 step

  2. 2 steps

Example 2:

Input: n = 3

Output: 3

Explanation: 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:

Solution

class Solution {
  int climbStairs(int n) {
    if (n < 2) {
      return n;
    }

    List<int> cache = List.filled(n, 0);

    // Initialize the base cases for 0 and 1 steps
    cache[0] = 1;
    cache[1] = 2;

    // Fill the cache with results for each step
    for (int i = 2; i < n; i++) {
      cache[i] = cache[i - 1] + cache[i - 2];
    }

    return cache[n - 1];
  }
}