Mehta is a forever alone and desperate guy. He has a crush on N girls of his society. He wants to impress them all and so he needs to do their task collectively.All the girls give him a number which he stores in an array named A of size N. To do their task, he has to report the number of triplets (i,j,k) in the array A, with i < j < k such that the triplets have at least one prime digit in common.

Input & Output:
The first line of the input contains an integer N. The next N lines has a number on each, which denote the array A.

You need to print on one line, the number of triples with the condition mentioned in the problem statement.

Constraints:

1 ≤ N ≤ 10 ^ 5
0 ≤ A[i] ≤ 10 ^ {18} for all index i in the array A.

Sample Input:

5
21
22
23
24
25

Sample Output:
10

SAMPLE INPUT
5
21
22
23
24
25

SAMPLE OUTPUT
10

Explanation

In the given sample each i,j,k has one prime digit common that is 2. So, total triplets are 5C3 which is 10.

见题面

见题面