Exercise $2$:Bacteria number estimation$($this question is for assignment so please make sure it is different by all means because so many people will be using chegg as it is the trusted source in the world, and also use c only, thanks in advance$)$

Microbiologist estimating the number of bacteria in a sample that contains bacteria that do not grow well on solid media may

use a statistical technique called the nu most probable number $($MPN$)$ method. Each of five tubes of nutrient medium receives

$10$ ml of the sample. A second set of five tubes receives $1$ ml of sample per tube, and in each of the a third set of five tubes,

only $0\mathrm{.}1$ ml of sample is placed. Each tube in which bacterial growth is observed is recorded as a positive, and the numbers

for the three groups are combined to create a triplet such as $5-2-1,$ which means that five tubes receiving $10$ ml of sample

showed bacterial growth, only two tubes in the $1-$ml group showed growth,and only one of the $0\mathrm{.}1-$ml group was positive. A

microbiologist would use this combination$-$of$-$positives triplet as an index in the table like Table $1$ to determine that the most

probable number of bacteria per $100$ ml of the sample is $70,$ and $95\%$ of the samples yielding this triplet between $30$ and $210$

bacteria per $100$ ml$.$ This information is stored in a file, mpmfile.txt$,$ that has the same structure as Table $1.$

$($a$)$ Define a type, MPNInfo, that represents each record in the file containing information on bacterial concentrations for

Most Probable Number. Each of these records is made of a string combination$-$of$-$positives as described above, an

integer representing the MPN Index$/100$ ml$,$ the lower number of bacteria per $100$ ml$,$ and upper number of bacteria per

$100$ ml$.[4]$

$($b$)$ Define a function LoadMpnTable that uses a variable of type MPNInfo to load the MPN table from a stored file,

mpnfile.txt$,$ into four parallel arrays:

$$ an array of strings combOfPositives

$$ three integer arrays $-$ mpn$,$ lower and upper

Your function must return the actual array size $($number of records read from the file$)$

Table $1$: Table of Bacterial Concentrations for Most Probable Number Method

$95\%$ Confidence Limits

Combination of

Positives MPN Index$/100$ ml Lower Upper

$4-2-022956$

$4-2-1261265$

$4-3-0271267$

$4-3-1333377$

$4-4-0341680$

$5-0-023986$

$5-0-13010110$

$5-0-24020140$

$5-1-03010120$

$5-1-15020150$

$5-1-26030180$

$5-2-05020170$

$5-2-17030210$

$5-2-29040250$

$5-3-08030250$

$5-3-111040300$

$5-3-214060360$

$($c$)$ Define a function Search that takes as arguments: the actual size of arrays, the arrays read in $($b$)$:

$$ an array of strings combOfPositives

$$ three integer arrays $-$ mpn$,$ lower and upper

and a combination$-$of$-$positives triplet and finds its index in the array combOfPositives, and produces the following:

$$ if the target is found, this index is used to generate a message. For example, using information in Table $1,$ if the

triplet given is $5-2-1,$ the following message is produced:

For $5-2-1,$ MPN $=70,95\%$ of samples contain between

$30$ and $210$ bacteria $/$ ml

$$ if the target is not found in the array, the following message is produced:

The combination $5-2-1$ does not exist

$($d$)$ Provide a driver program to test the functions above.