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2560. House Robber IV 👍

  • Time: $O(\log (\max(nums) - \min(nums)))$
  • Space: $O(1)$
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class Solution {
 public:
  int minCapability(vector<int>& nums, int k) {
    int l = ranges::min(nums);
    int r = ranges::max(nums);

    while (l < r) {
      const int m = (l + r) / 2;
      if (numStolenHouses(nums, m) >= k)
        r = m;
      else
        l = m + 1;
    }

    return l;
  }

 private:
  int numStolenHouses(const vector<int>& nums, int capacity) {
    int stolenHouses = 0;
    for (int i = 0; i < nums.size(); ++i)
      if (nums[i] <= capacity) {
        ++stolenHouses;
        ++i;
      }
    return stolenHouses;
  }
};

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class Solution {
  public int minCapability(int[] nums, int k) {
    int l = Arrays.stream(nums).min().getAsInt();
    int r = Arrays.stream(nums).max().getAsInt();

    while (l < r) {
      final int m = (l + r) / 2;
      if (numStolenHouses(nums, m) >= k)
        r = m;
      else
        l = m + 1;
    }

    return l;
  }

  private int numStolenHouses(int[] nums, int capacity) {
    int stolenHouses = 0;
    for (int i = 0; i < nums.length; ++i)
      if (nums[i] <= capacity) {
        ++stolenHouses;
        ++i;
      }
    return stolenHouses;
  }
}

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class Solution:
  def minCapability(self, nums: List[int], k: int) -> int:
    def numStolenHouses(capacity: int) -> int:
      stolenHouses = 0
      i = 0
      while i < len(nums):
        if nums[i] <= capacity:
          stolenHouses += 1
          i += 1
        i += 1
      return stolenHouses

    return bisect.bisect_left(range(max(nums)), k,
                              key=lambda m: numStolenHouses(m))