Burned Calendar

A year calendar is printed using a monospace font according to the following rules:

1. All spaces on the printed calendar are represented by the dot character (ASCII 46).

2. Each month occupies a rectangle of $17$ by $8$ characters. The name of the month is written in all capital letters starting from the $2$nd character of the first line.

3. All days of the months are printed in $4$, $5$, or $6$ columns, each column being $2$ characters wide and $7$ characters tall, with one space between columns. The first day of the week is Monday.

   • a. The months of the year are arranged in three rows separated by horizontal and vertical lines of spaces. Each row contains four months. The margins of the calendar are $1$ space on all sides. Therefore, the whole calendar is $73$ by $28$ characters in size.

Note that January $1$st, $1900$ was a Monday. Also note that a leap year is divisible by $4$ and not by $100$, or divisible by $400$. For example, a part of the printed calendar from October to December $2002$ may look as follows:

A calendar was printed and then burned, leaving only a small rectangular piece. Your program must determine to which of the years from $1900$ to $2100$ this piece could belong.