Divisible by Last DigitMedium

Divisible by Last Digit

MediumPractice library · +20 XPmathnumber theoryhash map

Given a list of N positive integers, count how many numbers are divisible by their last digit. For a number X, its last digit is X % 10. If a number's last digit is 0, it is not considered divisible by 0 for this problem. Count such numbers.

Input

The first line contains an integer N (1 <= N <= 200000). The second line contains N space-separated positive integers a_1, a_2, ..., a_n (1 <= a_i <= 10^9).

Output

Print a single integer: the count of numbers divisible by their last digit.

Constraints

1 <= N <= 200000 1 <= a_i <= 10^9

Time limit 1 s (native code; slower languages get more)Memory 256 MB15 hidden tests

Example 1

Input
5
12 24 30 48 55
Output
4

12 is divisible by 2, 24 by 4, 48 by 8. 30 and 55 are not counted.

Example 2

Input
3
10 20 30
Output
0

No numbers are counted as their last digit is 0.

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