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

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: $8$

$00$

$10011$

$2001111$

$300111122$

$40011112222$

$5001111222233$

$600111122223333$

$70011112222333344$

# pattern$\_$nbrs$.$py

# Author : Youcef Derbal

#TODO

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

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

$s=O0$

flag$=$False

$k=0$

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

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

$s=s+str(k)$

#TODO

print $(i,s)$