LeetCode-in-All

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

/**
 * @param {number} n
 * @return {number}
 */
var climbStairs = function(n) {
    if (n < 2) {
        return n
    }

    const cache = new Array(n)

    cache[0] = 1
    cache[1] = 2

    for (let i = 2; i < n; i++) {
        cache[i] = cache[i - 1] + cache[i - 2]
    }

    return cache[n - 1]
};

export { climbStairs }