Sum of Factorial Digits

Given two integers a and b, find all numbers n in the range \([a, b]\) (inclusive) that satisfy the equation

\( n = \sum_{d \in D(n)} d! \)

where \(D(n)\) represents the set of digits in n and \(d!\) denotes the factorial of digit \(d\). Remember that by definition, \(0! = 1\). If no number in the given range satisfies the condition, output an empty line.

inputFormat

The input consists of a single line with two integers a and b separated by a space (1 ≤ a ≤ b).

outputFormat

Print all numbers that satisfy the condition in a single line, separated by a single space. If there are no such numbers, output an empty line.

## sample

1 9

1 2

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