You are given the positions of several houses and heaters along a one dimensional line. Every heater warms all houses within a chosen radius.

Implement findRadius to return the minimum radius required so that every house is warmed by at least one heater.

Constraints:

• $1 \leq$ houses.length, heaters.length $\leq 3 imes 10^4$

• $1 \leq$ houses[i], heaters[i] $\leq 10^9`

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.