<image>(2014 Fall • Haizhu District Final Exam) We know that the geometric meaning of |a| can be understood as the distance between the point representing the number a and the origin on the number line. Please use related knowledge to further explore the distances between multiple points on the number line:

(1) Point A and Point B on the number line correspond to the numbers -1 and 3, respectively. The distance between Point A and Point B is ____.

(2) Try some other points and conjecture: If Point A and Point B correspond to the numbers a and b, respectively, then the distance between Point A and Point B is ____.

(3) If Point A on the number line corresponds to the number a, and |a-2| + |a-1| = 12, then the number corresponding to Point A is ____.

(4) Continue to use the geometric meaning of absolute value to explore the minimum value of |x-12| + |x+5|, which is ____.

(5) Given that the numbers x and y satisfy |x+7| + |1-x| = 19 - |y-10| - |1+y|, the minimum value of x+y is ____ and the maximum value is ____.