Rows $1,2,3,$ and $4$ of a triangular array of integers are shown below:

The first row is $1,2,1$. Each subsequent row is formed by placing a $1$ at each end of the row, and each interior entry is $1$ greater than the sum of the two numbers diagonally above it in the previous row. What is the units digit of the sum of the $2025$ numbers in the $2025$th row?