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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.

Input Specification

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

Output Specification

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

Sample Input 1

1. 1 2 3 4 5

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Output for Sample Input 1

1. 3

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Sample Input 2

1. 1 2 4 8 16

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Output for Sample Input 2

1. 0

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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.