Can you find the digit?

S=123456789101112131415161718192021 S=123456789101112131415161718192021\ldots

Given that the string SS is the concatenation of the first 1,000,000,000 positive integers in ascending order, find the 999999999th999999999^{\text{th}} digit of SS.


Details and Assumptions:

By the xthx^{\text{th}} digit of SS, we mean the digit in the xthx^{\text{th}} place from the left in the decimal representation of SS.

Some explicit examples are :

  • The 5th5^{\text{th}} digit of the number 1458346914583469 is 33.
  • The 4th4^{\text{th}} digit of the number 143256143256 is 22.
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