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Problems

Perfect numbers

Perfect numbers

Time limit 5 seconds
Memory limit 64 MiB

Number is called perfect if it equals the sum of all its divisors smaller than himself. Want to find all the perfect numbers from M to N.

Input data

In the first row are separated by a space of M and N.

M и N целые; 1MN10^9; (N - MSqrt(N) ≤ 10^7.

Output data

In each row to derive one number in ascending order. If the perfect numbers in the interval not to withdraw "Absent".

Examples

Input example #1
6 6
Output example #1
6