13. There are a total of 98 chess pieces in three piles, A, B, and C. First, some of the pieces from pile A are distributed to the other two piles, doubling the number of pieces in each of these piles. Then, the pieces from pile B are distributed in the same manner, followed by the pieces from pile C. In the end, the number of pieces in pile A is $\frac{4}{5}$ of the number in pile C, and the number of pieces in pile B is $1 \frac{7}{15}$ of the number in pile C. Originally, the pile with the most chess pieces had $\qquad$ pieces.
Answer: 52