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Java-based LeetCode algorithm problem solutions, regularly updated
475\. Heaters
Medium
Winter is coming! During the contest, your first job is to design a standard heater with a fixed warm radius to warm all the houses.
Every house can be warmed, as long as the house is within the heater's warm radius range.
Given the positions of `houses` and `heaters` on a horizontal line, return _the minimum radius standard of heaters so that those heaters could cover all houses._
**Notice** that all the `heaters` follow your radius standard, and the warm radius will the same.
**Example 1:**
**Input:** houses = [1,2,3], heaters = [2]
**Output:** 1
**Explanation:** The only heater was placed in the position 2, and if we use the radius 1 standard, then all the houses can be warmed.
**Example 2:**
**Input:** houses = [1,2,3,4], heaters = [1,4]
**Output:** 1
**Explanation:** The two heater was placed in the position 1 and 4. We need to use radius 1 standard, then all the houses can be warmed.
**Example 3:**
**Input:** houses = [1,5], heaters = [2]
**Output:** 3
**Constraints:**
* 1 <= houses.length, heaters.length <= 3 * 104
* 1 <= houses[i], heaters[i] <= 109