\(s(n)\) is a \(n\)-digit number formed by attaching the first \(n\) perfect squares, in order, into one integer.

[Vincen]

\(s(n)\) is a \(n\)-digit number formed by attaching the first \(n\) perfect squares, in order, into one integer. For example, \(s(1) = 1, \, s(2) = 14, \, s(3) = 149, \, s(4) = 14916, \, s(5) = 1491625,\) etc. How many digits are in \(s(99)?\)

A. 350
B. 353
C. 354
D. 356
E. 357

Answer: B

Source: Veritas Prep