剑指Offer65-矩形覆盖

# -*- coding:utf-8 -*-
class Solution:
    def rectCover(self, number):
        # write code here
        # 1 1个2*1小矩形覆盖2*1大矩形 = 1
        # 2 2个2*1小矩形覆盖2*2大矩形 = 2
        # 3 3个2*1小矩形覆盖2*3大矩形 = 3
        # 4 4个2*1小矩形覆盖2*4大矩形 = 5
        # ...
        # 斐波那契数列
        if number < 3:
            return number
        dp = [0 for i in range(number)]
        dp[0] = 1
        dp[1] = 2
        
        for i in range(2, number):
            dp[i] = dp[i-1]+dp[i-2]
        return dp[-1]