Description

Write a program to output all prime numbers within $100$ using the Sieve of Eratosthenes method and count them.

Input Format

None.

Output Format

Output all prime numbers within $100$, and on the next line, output the count of prime numbers.

Sample

None

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
Number of prime numbers within 100: 25