Two circles — Eolymp

Input

Six real numbers $x_{1}$ x_1, $y_{1}$ y_1, $r_{1}$ r_1, $x_{2}$ x_2, $y_{2}$ y_2, $r_{2}$ r_2, where $x_{1}, y_{1}, x_{2}, y_{2}$ x_1,\ y_1,\ x_2,\ y_2 are the coordinates of the centers of the circles, and $r_{1}, r_{2}$ r_1,\ r_2 are their radii.

All numbers are real, do not exceed $1 0^{9}$ 10^9 in absolute value, and are given with at most $3$ decimal places.

Output

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

Examples

Example 1

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