B"Firecrackers scare Nian the monster, but they're wayyyyy too noisy! Maybe fireworks make a nice complement. Little Tommy is watching a firework show. As circular shapes spread across the sky, a splendid view unfolds on the night of Lunar New Year's eve. A wonder strikes Tommy. How many regions are formed by the circles on the sky? We consider the sky as a flat plane. A region is a connected part of the plane with positive area, whose bound consists of parts of bounds of the circles and is a curve or several curves without self-intersections, and that does not contain any curve other than its boundaries. Note that exactly one of the regions extends infinitely. The first line of input contains one integer n (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n xe2 x80 x89 xe2 x89 xa4 xe2 x80 x893), denoting the number of circles. The following n lines each contains three space-separated integers x, y and r ( xe2 x80 x89- xe2 x80 x8910 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89x, xe2 x80 x89y xe2 x80 x89 xe2 x89 xa4 xe2 x80 x8910, 1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89r xe2 x80 x89 xe2 x89 xa4 xe2 x80 x8910), describing a circle whose center is (x, xe2 x80 x89y) and the radius is r. No two circles have the same x, y and r at the same time. Print a single integer -- the number of regions on the plane. For the first example, For the second example, For the third example, "...