## sowjanyanani16

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AnswerWe are given a list of N integers and another positive integer K. We need to compute the number of ways in which the product P of the

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given N integers can be expressed as a product of K positive integers (not

necessarily distinct). The order of the factors in the expression is not

important. For example, 1 x 2 x 3 and 2 x 3 x 1 are not counted as different

ways of expressing 6 as a product of three integers.

Input Format

The first line contains two space-separated integers, N and K

The next line contains N-space separated integers

Output

One line containing the number of ways in which the product of the N

integers can be expressed as a product of K positive integers

Example:

Input

2 3

4 16

Output

7

Explanation

The product is 64. This can be expressed as a product of three integers in

the following ways:

1 x 1 x 64

1 x 2 x 32

1 x 4 x 16

1 x 8 x 8

2 x 2 x 16

2 x 4 x 8

4 x 4 x 4| Report Duplicate | Flag | PURGE

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