Python3 achieve loot problem
Original title https://leetcode-cn.com/problems/house-robber/
You are a professional thief to steal street plan of the house. Each room are in possession of some cash, the only constraints affecting steal your neighbor's house is equipped with anti-theft system communicate with each other, if two adjacent houses on the same night, thieves broke into the system will automatically alarm .
Given a representative from each non-negative integer array of Housing storage amount calculated in case you do not touch the alarm device, can steal the maximum amount to.
Example 1:
输入: [1,2,3,1]
输出: 4
解释: 偷窃 1 号房屋 (金额 = 1) ,然后偷窃 3 号房屋 (金额 = 3)。
偷窃到的最高金额 = 1 + 3 = 4 。
Example 2:
输入: [2,7,9,3,1]
输出: 12
解释: 偷窃 1 号房屋 (金额 = 2), 偷窃 3 号房屋 (金额 = 9),接着偷窃 5 号房屋 (金额 = 1)。
偷窃到的最高金额 = 2 + 9 + 1 = 12 。
Problem solving:
class Solution:
def rob(self, nums: List[int]) -> int:
n = len(nums)
if n == 0:
return 0
if n == 1:
return nums[0]
if n == 2:
return max(nums[0], nums[1])
e0 = 0
e1 = nums[0]
e2 = max(nums[0], nums[1]) #动态规划思路,但是只需要3个中间值
for i in range(3, n + 1):
e0, e1, e2 = e1, e2, max(nums[i-1] + e1, nums[i-2] + e0)
return e2