CF817B Makes And The Product

Description

After returning from the army Makes received a gift — an array $ a $ consisting of $ n $ positive integer numbers. He hadn't been solving problems for a long time, so he became interested to answer a particular question: how many triples of indices $ (i, j, k) $ ( $ i<j<k $ ), such that $ a_{i}·a_{j}·a_{k} $ is minimum possible, are there in the array? Help him with it!

Input Format

The first line of input contains a positive integer number $ n (3

Output Format

Print one number — the quantity of triples $ (i, j, k) $ such that $ i, j $ and $ k $ are pairwise distinct and $ a_{i}·a_{j}·a_{k} $ is minimum possible.

Explanation/Hint

In the first example Makes always chooses three ones out of four, and the number of ways to choose them is $ 4 $ . In the second example a triple of numbers $ (1,2,3) $ is chosen (numbers, not indices). Since there are two ways to choose an element $ 3 $ , then the answer is $ 2 $ . In the third example a triple of numbers $ (1,1,2) $ is chosen, and there's only one way to choose indices.