There are three integers, x$,$y$,$and k$,$and a given integer n$.$Initially$,$ x $$and y $$are zero, and k $$is a fixed arbitrary constant.

Perform the following operation that consists of two steps in sequence until n $$becomes zero.

Decrease n $$by k$,$and increase x $$by k$.$If n $$is less than k$,$then x $$is increased by n $$and n $$becomes zero

Decrease n $$by $20\%$ofts value and add the same to y$.$If $20\%$of n $$is not an integer, then take the greatest integer less than or equal to it$,$i$.$e$.$its floor. Example: $0\mathrm{.}99$becomes $0,1\mathrm{.}2$becomes $1.$

Find the minimum value of k $$such that x$>=$y $>=(1$after the above operations are finished on the given integer n$.$

Example:

n$=100$

Given n$=100,$Initially we have x$=0,$y$=0.$It is optimal to choose k$=7,$

n$=75,$x$=7,$y$=18($ x $$is increased by $7,$n $$is decreased by $7,$n$=93,$y $$is increased by $20\%$of ni$.$e $20\%$of $93=18\mathrm{.}6,$y$=18,$n$=$

SmExample:n$=100$Given n $=100,$Initially we have x$=0$y$=0.$Itis optimal to choose k$=7,1.$n$=75,$X$=7,$y$=18($x is increased by $7,$nisdecreased by $7,$n $=93,$y is increased by$20\%$of ni$.$e $20\%$of $93=18\mathrm{.}6,$y$=18,$n$=75)2.$n $=55,$X $=14,$y$=313.$n$=39,$x $=21,$y$=404.$n$=26,$x $=28,$y$=465.$n$=16,$X$=35,$y$=49($x is increased by $7,$nis decreased by $7,$n$=19,$yis increased by$20\%$of ni$.$e $20\%$of $19=3\mathrm{.}8,$y is increasedby $3,$n is decreased by $3,$n$=16)6.$n$=8,$X $=42,$y $=507.$n$=1,$X $=49,$y $=508.$n $=0,$x $=50.$y$=50($as n$=1,$which is lesSthat k$,$xis increased by n ie $1,$nisreduced to $0)$Hence the answer is $7$and it can be shownthat answer cannot be less than$7.$Function DescriptionComplete the function getMinimum in theeditor below.getMinimum has the followingint n:given integerReturnsint: the minimun possihleparameter: