 A unique-digit integer is a positive integer (without leading zeros) with no duplicate digits. For example 7, 135, 214 are all unique-digit integers whereas 33, 3121, 300 are not.

Given two positive integers m and n, write a program to determine how many unique-digit integers are there in the range between m and n (both inclusive) and output them.

The input contains two positive integers m and n. Assume m < 30000 and n < 30000. You are to output the number of unique-digit integers in the specified range along with their values in the format specified below:

SAMPLE DATA:

INPUT:

m = 100

n  = 120

OUTPUT:

THE UNIQUE-DIGIT INTEGERS ARE:-

102, 103, 104, 105, 106, 107, 108, 109, 120.

FREQUENCY OF UNIQUE-DIGIT IN INTEGERS IS : 9.

INPUT:

m  =  2500

n  =  2550

OUTPUT:

THE UNIQUE-DIGIT INTEGERS ARE:-

2501, 2503, 2504, 2506, 2507, 2508, 2509, 2510, 2513, 2514, 2516, 2517, 2518, 2519, 2530, 2531, 2534, 2536, 2537, 2538, 2539, 2540, 2541, 2543, 2546, 2547, 2548, 2549.

FREQUENCY OF UNIQUE-DIGIT INTEGERS IS : 28