By repeatedly applying the mapping n$$n$/2$

$($where $/$

denotes integer division$),$ any positive number n

will eventually reach $0$

$.$ Write a function div$\_$mapping that repeatedly applies this mapping to a given number n

until the number becomes $0$

$.$ At each step, output $"1"$ and a space if n

is odd and $"0"$ and a space if n

is even. When n

becomes $0$

$,$ output "end" $($with no newline$).$ For example, given the number n$=5$

$,$ your function should output $"101$ end".