You are given a circle represented as `(radius, xCenter, yCenter)` and an axis-aligned rectangle represented as `(x1, y1, x2, y2)`, where `(x1, y1)` are the coordinates of the bottom-left corner, and `(x2, y2)` are the coordinates of the top-right corner of the rectangle.

Return `true` _if the circle and rectangle are overlapped otherwise return_ `false`. In other words, check if there is **any** point `(xi, yi)` that belongs to the circle and the rectangle at the same time.

**Example 1:**

**Input:** radius = 1, xCenter = 0, yCenter = 0, x1 = 1, y1 = -1, x2 = 3, y2 = 1
**Output:** true
**Explanation:** Circle and rectangle share the point (1,0).

**Example 2:**

**Input:** radius = 1, xCenter = 1, yCenter = 1, x1 = 1, y1 = -3, x2 = 2, y2 = -1
**Output:** false

**Example 3:**

**Input:** radius = 1, xCenter = 0, yCenter = 0, x1 = -1, y1 = 0, x2 = 0, y2 = 1
**Output:** true

**Constraints:**

*   `1 <= radius <= 2000`
*   `-104 <= xCenter, yCenter <= 104`
*   `-104 <= x1 < x2 <= 104`
*   `-104 <= y1 < y2 <= 104`


def checkOverlap(radius, xCenter, yCenter, x1, y1, x2, y2):
    xClosest = max(x1, min(xCenter, x2))
    yClosest = max(y1, min(yCenter, y2))
    return (xCenter - xClosest) ** 2 + (yCenter - yClosest) ** 2 <= radius ** 2
