Triangle

Given three natural numbers A, B, and C (where 1 ≤ A, B, C ≤ 10,000,000), determine the type of triangle they can form, if any.

Your task is to output:

• 0 if a triangle with these sides cannot exist;

• 1 if the triangle is scalene;

• 2 if the triangle is isosceles;

• 3 if the triangle is equilateral.

Input

The input consists of three lines:

• The first line contains the number A.

• The second line contains the number B.

• The third line contains the number C.

Output

Print the number corresponding to the type of triangle described above.

Examples