You are the best garden designer. You are trying to create a new style of tree. It is called “Left-Right Tree”. These are all details of the style.
You are trying to draw all possible Left-Right Tree following the details. But it is impossible to do this!, so you want to calculate the number of all possible tree instead.
Count all possible Left-Right Tree following the details and modulo the answer with 9999991.
First line, type T (Number of questions) .
i+1th line, type 2 numbers including N (Number of left sticks) and M (Number of right sticks).
There are T lines.
ith line, display the answer of the ith question.