2023 AMC 8 Problem 16

The letters P, Q, and R are entered into a 20 \times 20 table according to the pattern shown below. How many Ps, Qs, and Rs will appear in the completed table?

\textbf{(A)} 132 Ps, 134 Qs, 134 Rs \qquad \textbf{(B)} 133 Ps, 133 Qs, 134 Rs \qquad \textbf{(C)} 133 Ps, 134 Qs, 133 Rs \qquad \textbf{(D)} 134 Ps, 132 Qs, 134 Rs \qquad \textbf{(E)} 134 Ps, 133 Qs, 133 Rs

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.