# Generate all primes between two numbers

Given two numbers

`a`

and `b`

, you are asked to generate all the prime numbers between `a`

and `b`

(inclusive). Input

The first line of the input contains two integers

`a`

and `b`

(1 ≤ a ≤ b ≤ ). Output

The program should print all the prime numbers between

`a`

and `b`

(inclusive). Examples

Input | Output |

1 7 | 2 3 5 7 |

12 17 | 13 17 |

8 9 | ㅤ |

#### Constraints

Time limit: 0.2 seconds

Memory limit: 512 MB

Output limit: 1 MB