Input
Six numbers – the coordinates of the center and the radii of the two circles.
Imprint
If the number of common points of the circles is finite, in the first line print one number K, equal to this number, then in K lines the coordinates of the points themselves. If there are infinitely many specified points, output a single number “3”.
Examples
| # |
Input |
Output |
| 1 |
3 4 5 11 4 2 |
0 |
| 2 |
3 4 5 9 4 2 |
2
7.75000 5.56125
7.75000 2.43875 |