Complete the #TODO portion of the Python program pattern$\_$nbrs$.$py$,$ given below, for it to display the pattern shown below for n $=5,7$ and $8$ respectively. The modification must be restricted to and only to the #TODO portion. No modifications shall be made to the provided code.The expected input$/$output behavior of the program is illustrated by the following examples:

Enter a positive integer: $5$

$000$

$10011$

$2001111$

$300111122$

$40011112222$

Enter a positive integer: $7$

$000$

$10011$

$2001111$

$300111122$

$40011112222$

$5001111222233$

$600111122223333$

Enter a positive integer: $8$

$000$

$10011$

$2001111$

$300111122$

$40011112222$

$5001111222233$

$600111122223333$

$70011112222333344$

The Python program is shown below:

#TODO

n $=$ int$($input$("$Enter a positive integer: $"))$

for i in range$($n$)$:

s $="0"$

flag $=$ False

k $=0$

for j in range$(0,$i$+1)$:

k $=$ fmap$($k$,$flag$)$

s $=$ s $+$ str$($k$)$

#TODO

print$($i$,$s$)$

Complete #TODo portions of the program without changing anything else in the program.