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B. Digits Sequence (Hard Edition)

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputLet's write all the positive integer numbers one after another from $$$1$$$ without any delimiters (i.e. as a single string). It will be the infinite sequence starting with 123456789101112131415161718192021222324252627282930313233343536...

Your task is to print the $$$k$$$-th digit of this sequence.

Input

The first and only line contains integer $$$k$$$ ($$$1 \le k \le 10^{12}$$$) — the position to process ($$$1$$$-based index).

Output

Print the $$$k$$$-th digit of the resulting infinite sequence.

Examples

Input

7

Output

7

Input

21

Output

5

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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