# Three digit Armstrong numbers

Execution time limit is 1 second

Runtime memory usage limit is 128 megabytes

Three digit number is called Armstrong number if the sum of cubes of its digits equals to the number. For example, 153 = `1^3`

+ `5^3`

+ `3^3`

is an Armstrong number. Print all Armstrong numbers from a to b.

## Input

Two integers a and b (100 ≤ a ≤ b ≤ 999).

## Output

Print in one line all Armstrong numbers from a to b.

## Examples

Input #1

Answer #1

Submissions 5K

Acceptance rate 58%