Problem $3$: Write a program to calculate Body Mass Index $($BMI$)$ and display a message about the diagnosis of BMI. The program prompts the user to input his$/$her valid height in $cm($height $>30cm)$ and valid weight in $lb($weight $>51lb).$ The program then converts units from $cm$ to $m,$ and from $lb$ to $kg.$ BMI is calculated as BMI$=\frac{\text{w}\text{e}\text{i}\text{g}\text{h}\text{t}(KG)}{\text{h}\text{e}\text{i}\text{g}\text{h}\text{t}(m{)}^2}.$ The program displays a message according to the values of the diagnosis of BMI as follows:

$\backslash$table$[[$BMI$,$Message$],[$BMI Under weight$],[18\mathrm{.}5$ BMI $25,$Congratulations, you have an ideal weight$],[$BMI $>25,$Over weight$]]$

Input $/$Output Samples:

Bnter weight in $lb$ and height in $cm$:$56$ Your weight or height is incorrect

Bnter weight in $15$ and height in $cm$ : $120180$ your weight in $KG=54$ your height in $M-1\mathrm{.}8$ your BMI is $16\mathrm{.}6667$ and you are under weight

Enter weight in $1b$ and height in cm: $175185$

your weight in $KG=78\mathrm{.}75$

your height in $M=1\mathrm{.}85$

your BMI is $23\mathrm{.}0095.$ Congratulations, you have an ideal weight!

Enter weight in $Ib$ and height in cm: $200180$

your weight in $KG=90$

your height in $M=1\mathrm{.}8$

your BMI is $27\mathrm{.}7778,$ and you are over weight

I need answer with c$++$