What is the coefficient of x ^ 99 in -LRB- x + 1 -RRB- -LRB- x ^ 2 + 1 -RRB- ... -LRB- x ^ 99 + 1 -RRB- ?
What is the coefficient of x ^ 9 in -LRB- 1 + x -RRB- -LRB- 1 + x ^ 2 -RRB- ... -LRB- 1 + x ^ 100 -RRB- ?