You are given a circle defined by its radius radius and its center coordinates (xCenter, yCenter). You are also given an axis aligned rectangle defined by its bottom left corner (x1, y1) and its top right corner (x2, y2).

Return true if the circle and the rectangle share at least one point, or false otherwise.

Constraints:

• $1 \leq$ radius $\leq 2000$

• $-10^4 \leq$ xCenter, yCenter $\leq 10^4$

• $-10^4 \leq$ x1 $<$ x2 $\leq 10^4$

• $-10^4 \leq$ y1 $<$ y2 $\leq 10^4$

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.