Points are marked on the coordinate plane in the following [Steps]. [Step 1] Mark a point at $( 0,1 )$. [Step 2] Mark 3 points at $( 0,3 ) , ( 1,3 ) , ( 2,3 )$ in this order. $\vdots$ [Step $k$ ] Mark $( 2 k - 1 )$ points at $( 0,2 k - 1 ) , ( 1,2 k - 1 ) , ( 2,2 k - 1 ) , \cdots$, $( 2 k - 2,2 k - 1 )$ in this order. (Here, $k$ is a natural number.) $\vdots$ When points are marked in this manner starting from [Step 1], the coordinates of the 100th marked point are $( p , q )$. What is the value of $p + q$? [4 points] (1) 46 (2) 43 (3) 40 (4) 37 (5) 34
Points are marked on the coordinate plane in the following [Steps].\\
[Step 1] Mark a point at $( 0,1 )$.\\
[Step 2] Mark 3 points at $( 0,3 ) , ( 1,3 ) , ( 2,3 )$ in this order.\\
$\vdots$\\
[Step $k$ ] Mark $( 2 k - 1 )$ points at $( 0,2 k - 1 ) , ( 1,2 k - 1 ) , ( 2,2 k - 1 ) , \cdots$, $( 2 k - 2,2 k - 1 )$ in this order. (Here, $k$ is a natural number.)\\
$\vdots$\\
When points are marked in this manner starting from [Step 1], the coordinates of the 100th marked point are $( p , q )$. What is the value of $p + q$? [4 points]\\
(1) 46\\
(2) 43\\
(3) 40\\
(4) 37\\
(5) 34