Practice Optimization with the exercise "A Million Digits of Pi"

Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

Print out the requested digits of pi.

As requested, here is a hint in rot13 for those who want the best algorithm pointed out: Puhqabifxlf Nytbevguz

Input

First line: The INDEX of the first digit of pi to print.
Second line: The number of digits to print N .

Output

One line with the requested sequence.

Constraints

INDEX < 1,000,000
N <= 50

Example

Input

0
10

Output

3141592653

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