Question 33
Let there be a table with 100 columns and an unknown amount of rows. Starting by the first column, the first natural numbers are written in order, one number per cell, without skipping either numbers or cells, as shown in the picture. It is known that the number $38$ is written in the first column and $107$ is written in the same row as the $38$.
How many rows can the table have? Give all the possibilities. In each case, indicate which number is written in the cell in row $1$ and column $100$.
How many rows can the table have? Give all the possibilities. In each case, indicate which number is written in the cell in row $1$ and column $100$.