import java.io$.$BufferedWriter;

import java.io$.$FileWriter;

import java.io$.$IOException;

import java.util.ArrayList;

import java.util.Arrays;

import java.util.List;

import ilog$.$concert.IloException;

import ilog$.$concert.IloIntVar;

import ilog$.$concert.IloRange;

import ilog$.$cplex.IloCplex;

public class Runner $\{$

private static final String INPUT$\_$FILE$\_$NAME $=$ "prefs.csv$"$;

private static final String OUTPUT$\_$FILE$\_$NAME $=$ "assignment.txt$"$;

public static void main$($String$[]$ args$)\{$

PreferenceData data $=$ PreferenceData.readData$($INPUT$\_$FILE$\_$NAME$)$;

try$($BufferedWriter writer $=$ new BufferedWriter$($new FileWriter$($OUTPUT$\_$FILE$\_$NAME$)))\{$

IloCplex cplex $=$ new IloCplex$()$;

cplex.setOut$($null$)$;

List variableNames $=$ new ArrayList$()$;

for $($Student s : data.getStudents$())\{$

for $($Project p : data.getProjects$())\{$

variableNames.add$($s$.$getName$()+","+$ s$.$getStudentNumber$()+","+$ s$.$getEmail$()+","+$ p$.$getSupervisor$())$;

$\}$

$\}$

List variables $=$ new ArrayList$($variableNames$.$size$())$;

for $($String name : variableNames$)$

variables.add$($cplex$.$intVar$(0,1,$ name$))$;

IloIntVar$[]$ varArray $=$ variables.toArray$($new IloIntVar$[$variables$.$size$()])$;

IloRange$[]$ constraints $=$ new IloRange$[$data$.$numStudents$()+$ data.numProjects$()]$;

for $($int k $=0$; k $<$ data.numStudents$()$; k$++)\{$

IloIntVar$[]$ studentVars $=$ Arrays.copyOfRange$($varArray$,$ k $*$ data.numProjects$(),($k$+1)*$data$.$numProjects$())$;

constraints$[$k$]=$ cplex.addEq$(1,$ cplex.sum$($studentVars$))$;

$\}$

for $($int k $=$ data.numStudents$()$; k $<$ data.numStudents$()+$ data.numProjects$()$; k$++)\{$

IloIntVar$[]$ projectVars $=$ new IloIntVar$[$data$.$numStudents$()]$;

int column $=$ k $-$ data.numStudents$()$;

for $($int i $=0$; i $<$ data.numStudents$()$; i$++)\{$

projectVars$[$i$]=$ varArray$[$i$*$data$.$numProjects$()+$ column$]$;

$\}$

constraints$[$k$]=$ cplex.addLe$($cplex$.$sum$($projectVars$),$ data.getProjects$().$get$($column$).$getCapacity$())$;

$\}$

int$[]$ coefficients $=$ new int$[$data$.$numStudents$()*$ data.numProjects$()]$;

for $($int i $=0$; i $<$ data.numStudents$()$; i$++)\{$

for $($int j $=0$; j $<$ data.numProjects$()$; j$++)\{$

coefficients$[$i $*$ data.numProjects$()+$ j$]=$ data.getPreference$($i$,$ j$)$;

$\}$

$\}$

cplex.addMinimize$($cplex$.$scalProd$($varArray$,$ coefficients$))$;

List solution $=$ null;

if $($cplex$.$solve$())\{$

double$[]$ values $=$ cplex.getValues$($varArray$)$;

solution $=$ new ArrayList$()$;

for $($int i $=0$; i $<$ varArray.length; i$++)\{$

if $(1\mathrm{.}0-$ values$[$i$]<0\mathrm{.}00000001)\{$

solution.add$($variableNames$.$get$($i$))$;

$\}$

$\}$

$\}$

for $($String s : solution$)\{$

writer.write$($s $+"$

$")$;

$\}$

cplex.clearModel$()$;

$\}$ catch $($IloException e$)\{$

e$.$printStackTrace$()$;

$\}$ catch $($IOException e$)\{$

System.err.println$("$Failed attempt to write to file: $"+$ OUTPUT$\_$FILE$\_$NAME$)$;

e$.$printStackTrace$()$;

$\}$

$\}$

$\}$ as above, please demonstration of understanding of what design choices may have been made in that section of the program and why $($this may require examining the rest of the code as well$).$ as a comment