Triangle#10225

Triangle

1 second

64 megabytes

Easy

Given three natural numbers $A$ , $B$ , and $C$ (where $1 \leq A, B, C \leq 10000000$ 1 \leq A, B, C \leq 10000000), 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

Example 1

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1 \leq A, B, C \leq 10000000