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leetcode/work/1/Easy/Math/70.climbing-stairs.py

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"""
70. Climbing Stairs
Difficulty: Easy
https://leetcode.com/problems/climbing-stairs/
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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:
• 1 <= n <= 45
"""
class Solution:
def climbStairs(self, n: int) -> int:
if n == 1:
return 1
if n == 2:
return 2
first, second = 1, 2
for _ in range(3, n + 1):
third = first + second
first, second = second, third
return second