Print all Spy numbers in a range (a number where sum of digits equals product of digits, e.g., 1124).

Problem Description

Given range L and R on separate lines, print all Spy numbers (digit sum equals digit product) separated by space. Input Format: Read input from standard input (stdin). Output Format: Print the result to standard output (stdout).

Constraints

• -10^9 <= N <= 10^9

Examples