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g2501_2600.s2560_house_robber_iv.readme.md Maven / Gradle / Ivy

2560\. House Robber IV

Medium

There are several consecutive houses along a street, each of which has some money inside. There is also a robber, who wants to steal money from the homes, but he **refuses to steal from adjacent homes**.

The **capability** of the robber is the maximum amount of money he steals from one house of all the houses he robbed.

You are given an integer array `nums` representing how much money is stashed in each house. More formally, the ith house from the left has `nums[i]` dollars.

You are also given an integer `k`, representing the **minimum** number of houses the robber will steal from. It is always possible to steal at least `k` houses.

Return _the **minimum** capability of the robber out of all the possible ways to steal at least_ `k` _houses_.

**Example 1:**

**Input:** nums = [2,3,5,9], k = 2

**Output:** 5

**Explanation:** There are three ways to rob at least 2 houses: 

- Rob the houses at indices 0 and 2. Capability is max(nums[0], nums[2]) = 5. 

- Rob the houses at indices 0 and 3. Capability is max(nums[0], nums[3]) = 9. 

- Rob the houses at indices 1 and 3. Capability is max(nums[1], nums[3]) = 9. 

Therefore, we return min(5, 9, 9) = 5.

**Example 2:**

**Input:** nums = [2,7,9,3,1], k = 2

**Output:** 2

**Explanation:** There are 7 ways to rob the houses. The way which leads to minimum capability is to rob the house at index 0 and 4. Return max(nums[0], nums[4]) = 2.

**Constraints:**

*   1 <= nums.length <= 105
*   1 <= nums[i] <= 109
*   `1 <= k <= (nums.length + 1)/2`