1. You are given the radius & center of two circles.
2. Find out whether the given circles :
touches each other at one point(externally)
touches each other at two points
are far-apart from each other
one circle overlap's other completely
are concentric
3. Print "overlaps" or "far-apart" or "touches at 1 point" or "touches at 2 points" or "concentric" , accordingly.Input Format
x(x1) & y(y1) center coordinates of circle 1 x(x2) & y(y2) center coordinates of circle 2 radius(r1) of circle 1 radius(r2) of circle 2
Output Format
print "overlap" or "far-apart" or "touches at 1 point" or "touches at 2 point" or "concentric"
Constraints
x1,x2,y1,y2 are integers & r1,r2 are positive numbers
Example
Input
0 0 0 0 2 5
Output
concentric