impl Solution {
    pub fn check_overlap(radius: i32, x_center: i32, y_center: i32, x1: i32, y1: i32, x2: i32, y2: i32) -> bool {
        let nearest_x = if x_center < x1 { x1 } else if x_center > x2 { x2 } else { x_center };
        let nearest_y = if y_center < y1 { y1 } else if y_center > y2 { y2 } else { y_center };
        let dx = x_center - nearest_x;
        let dy = y_center - nearest_y;
        dx * dx + dy * dy <= radius * radius
    }
}