Primes in a range

Read two integers L and R and print all prime numbers between them (inclusive), separated by spaces. If there are none, print -1.

Reported in: LTIMindtree, Tech Mahindra (memory-based)

Input

One line: L and R.

Output

The primes, or -1.

Constraints

1 ≤ L ≤ R ≤ 10^6.

Example 1

Input:
10 30

Output:
11 13 17 19 23 29

Example 2

Input:
24 28

Output:
-1

Hint: Test divisibility only up to the square root of each number.

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