Two circles

Determine at how many points two circles intersect.

Input

6 numbers $x_1$, $y_1$, $r_1$, $x_2$, $y_2$, $r_2$, where $x_1$, $y_1$, $x_2$, $y_2$ are the coordinates of the centers of the circles, $r_1$, $r_2$ are their radii.

All numbers are real, do not exceed $1000000000$ modulo, and are specified with no more than $3$ decimal places.

Output

Output a single number, the number of intersection points. If the number of points is infinite, output $-1$.

Examples