Vera has five sticks of distinct lengths l₁, l₂, l₃, l₄, l₅. 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.

입력 형식

Line 1 contains integers l₁, l₂, l₃, l₄, l₅ (1 ≤ l_i ≤ 1000). 

출력 형식

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

예제 입력 1

1 2 3 4 5

예제 출력 1

3

예제 입력 2

1 2 4 8 16

예제 출력 2

0

힌트

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.