Four-digit Armstrong numbers#8642

Four-digit Armstrong numbers

1 second

128 megabytes

Very easy

A four-digit number is called an Armstrong number if the sum of the fourth powers of its digits equals the number itself.

For example: $8208 = 8^{4} + 2^{4} + 0^{4} + 8^{4}$ 8208 = 8^4 + 2^4 + 0^4 + 8^4, therefore, $8208$ is an Armstrong number.

Print all Armstrong numbers in the range from $a$ to $b$ .

Input

Two integers $a$ and $b (1000 \leq a \leq b \leq 9999)$ b~(1000 \le a \le b \le 9999).

Print all Armstrong numbers in a single line in the range from $a$ to $b$ .

Example 1

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8208 = 8^{4} + 2^{4} + 0^{4} + 8^{4}

b (1000 \leq a \leq b \leq 9999)