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B. Makes And The Product

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputAfter 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

The first line of input contains a positive integer number *n* (3 ≤ *n* ≤ 10^{5}) — the number of elements in array *a*. The second line contains *n* positive integer numbers *a* _{ i} (1 ≤ *a* _{ i} ≤ 10^{9}) — the elements of a given array.

Output

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.

Examples

Input

4

1 1 1 1

Output

4

Input

5

1 3 2 3 4

Output

2

Input

6

1 3 3 1 3 2

Output

1

Note

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.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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