## GlobeX Cup '18 J3 - Good Numbers

View as PDF

Points: 5 (partial)
Time limit: 1.0s
Memory limit: 64M

Authors:
Problem type

Jonathan is writing a problem for the GlobeX Canada Cup. However, he lost his ideas for the first problems of the junior division. So, Jonathan is making a problem about the numbers he loves the most: prime numbers. A good number is defined as an integer such that it is prime, and the sum of its digits is also prime. A number is prime if it only has two divisors, and itself ().

Given a list of integers, find out how many of them are good numbers.

#### Input Specification

The first line will contain the integer , the number of integers to test.

The next lines will each contain an integer, , the integer to test.

#### Output Specification

On the first line, output one integer, the number of good numbers in the list.

#### Sample Input

3
3
23
51

#### Sample Output

2