1. 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. 2. Every house can be warmed, as long as the house is within the heater's warm radius range. 3. 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. 4. Notice that all the heaters follow your radius standard, and the warm radius will the same.
Input Format
Input is managed for you
Output Format
Output is managed for you
Constraints
1 <= houses.length, heaters.length <= 3 * 10^4 1 <= houses[i], heaters[i] <= 10^9
Notice
Try First, Check Solution later
1. You should first read the question and watch the question video.2. Think of a solution approach, then try and submit the question on editor tab.3. We strongly advise you to watch the solution video for prescribed approach.Example
Input
4 1 2 5 7 2 1 4
Output
3