The code provided below contains syntax and$/$or logic errors. In each case, determine and fix the problem, remove all syntax and coding errors, and run the program to ensure it works properly.

Code:

$//$ Program reads in a file of phone numbers without area codes

$//$ inserts $"(312)"$ in front of each phone number

$//$ and produces an output file with the new complete phone numbers

import java.nio.file.$*$;

import java.io$.*$;

import java.nio.channels.FileChannel;

import static java.nio.file.StandardOpenOption.$*$;

public class DebuggingExercise$05\{$

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

$\{$

Path fileIn $=$

Paths.get$("/$root$/$sandbox$/$DebugData$2.$txt$")$;

Path fileOut $=$

Paths.get$("/$root$/$sandbox$/$DebugData$2$New.txt$")$;

String areaCode $="(312)"$;

String phone;

InputStream input $=$ nul;

OutputStream output $=$ nul;

try

$\{$

input $=$ Files.newInputStream$($fileIn$)$;

BufferedReader reader $=$ BufferedReader

$($new InputStreamReader$($input$))$;

output $=$ Files.newOutputStream$($fileOut$)$;

phone $=$ reader.readLine$()$;

while$($phone $=$ null$)$

$\{$

phone $=$ areaCode $+$ phone $+$ System.getProperty$("$line$.$separator"$)$;

byte phoneBytes $=$ phone.getBytes$()$;

output.write$($phoneBytes$)$;

phone $=$ reader.readline$()$;

$\}$

input.closes$()$;

output.closes$()$;

$\}$

catch $($IOException e$)$

$\{$

System.out.println$($e$)$;

$\}$

$\}$

$\}$