#975. Fast power (mod 1000)
You get a and b (b can be very big). Find aᵇ mod 1000 using fast exponentiation.
### Input
One line: a b (0 ≤ a ≤ 10⁹, 0 ≤ b ≤ 10¹⁸).
### Output
A number.
Examples
Input
371436559 82402091877596196
Output
241
Input
733669769 651066763784896064
Output
121
💡 You can solve it with Python, JavaScript or blocks. Read the input line by line with input(). Don't print a question (like input("Number: ")). Print exactly what the output asks for, nothing more.