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"""
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198. House Robber
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Difficulty: Medium
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https://leetcode.com/problems/house-robber/
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──────────────────────────────────────────────────
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You are a professional robber planning to rob houses along a street.
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Each house has a certain amount of money stashed, the only constraint
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stopping you from robbing each of them is that adjacent houses have
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security systems connected and it will automatically contact the
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police if two adjacent houses were broken into on the same night.
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Given an integer array nums representing the amount of money of each
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house, return the maximum amount of money you can rob tonight without
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alerting the police.
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Example 1:
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Input: nums = [1,2,3,1]
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Output: 4
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Explanation: Rob house 1 (money = 1) and then rob house 3 (money = 3).
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Total amount you can rob = 1 + 3 = 4.
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Example 2:
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Input: nums = [2,7,9,3,1]
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Output: 12
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Explanation: Rob house 1 (money = 2), rob house 3 (money = 9) and rob
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house 5 (money = 1).
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Total amount you can rob = 2 + 9 + 1 = 12.
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Constraints:
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• 1 <= nums.length <= 100
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• 0 <= nums[i] <= 400
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"""
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class Solution:
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def rob(self, nums: list[int]) -> int:
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n = len(nums)
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if n == 0:
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return 0
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if n <= 2:
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return max(nums)
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dp = [0] * n
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dp[0] = nums[0]
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dp[1] = max(nums[0], nums[1])
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for i in range(2, n):
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dp[i] = max(dp[i - 1], dp[i - 2] + nums[i])
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return dp[-1]
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