Write a program that produces calendars as output. Do NOT use if statements. Use for loops, print statements, and integer arithmetic only. Your program should have a method that outputs a single month$$s calendar like the one below, given parameters to specify how many days are in the month and what the date of the first Sunday is in that month. In the month shown below, these values are $31$ and $6,$ respectively.

Sun Mon Tue Wed Thu Fri Sat

$+------+------+------+------+------+------+------+$

$|||1|2|3|4|5|$

$|6|7|8|9|10|11|12|$

$|13|14|15|16|17|18|19|$

$|20|21|22|23|24|25|26|$

$|27|28|29|30|31|||$

$+------+------+------+------+------+------+------+$

One tricky part of this program is making the various columns line up properly with proper widths. We will learn better ways of formatting output $[$later$].$ For now, you may copy the following helper method into your program and call it to turn a number into a left$-$padded string of a given exact width. For example, the call System.out.print$($padded$(7,5))$ prints the number $7$ with four leading spaces$).$

public static String padded$($int n$,$ int width$)\{$

String s $=""+$ n;

for $($int i $=$ s$.$length$()$; i $$ width; i$++)\{$

s $=""+$ s;

$\}$

return s;

$\}$