2017 Fall Waterloo Local ACM Contest, Problem A

Vera has five sticks of distinct lengths ~l_1, l_2, l_3, l_4, l_5~. Vera may choose any three of the five sticks to form the sides of a triangle. How many different triangles can Vera make? Each triangle must have positive area and sticks cannot be bent or cut.

Input

Line ~1~ contains integers ~l_1, l_2, l_3, l_4, l_5~ ~(1 \le l_i \le 1000)~.

Output

Print one line with one integer, the number of ways to form a triangle.

Sample Input 1

1 2 3 4 5

Sample Output 1

3

Sample Input 2

1 2 4 8 16

Sample Output 2

0

Note

For the first example, the ~3~ ways to form a triangle are choosing sticks ~2, 3, 4~ or ~2, 4, 5~ or ~3, 4, 5~.