Please help me write my code in java. Only the method public static int byteCount$($int codePoint$)$ and public static byte$[]$ toBytes$($int codePoint$)$ need to be implemeted. Methods testByteCount and testToBytes should run true with the code provided. Thank you! $($and please add comments to help guide me through the code$)$

import java.util.Arrays;

public class UTF$8\{$

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

System.out.println$($testByteCount$($false$))$;

System.out.println$($testToBytes$($false$))$;

$\}$

$/**$

$*$ Returns the number of bytes that are used

$*$ to encode a code point when using UTF$-8.$

$*$

$*$ @param codePoint

$*$ @return the number of bytes that encode codePoint in UTF$-8$

$*/$

public static int byteCount$($int codePoint$)\{$

if $($codePoint $<0)\{$

return $0$;

$\}$

$//$ Four cases which return $1,2,3,$ and $4,$ respectively...

return $0$; $//$ For large code points which cannot be encoded.

$\}$

$/**$

$*$ Returns the bytes that are used

$*$ to encode a code point when using UTF$-8.$

$*$

$*$ @param codePoint the code point to encode

$*$ @return the bytes that encode codePoint in UTF$-8$

$*/$

public static byte$[]$ toBytes$($int codePoint$)\{$

int count $=$ byteCount$($codePoint$)$;

byte$[]$ b $=$ new byte$[$count$]$;

$//$ Four cases...

return b;

$\}$

$/**$

$*$ Provided that byteCount is defined correctly,

$*$ this method should return true.

$*$

$*$ @param print whether to print the testing chars in the console

$*$ @return true

$*/$

private static boolean testByteCount$($boolean print$)\{$

boolean bool $=$ true;

int$[]$ codePoints $=$ new int$[]\{$

$\text{'}$x$\text{'},\text{'}$y$\text{'},\text{'}$u$\text{'},\text{'}$~$\text{'},$

$230,1345,1488,1551,$

$8450,8477,8484,64289,$

$119046,119047,127934,128512$

$\}$;

for $($int i $=0$; i $<4$; $++$i$)\{$

for $($int j $=0$; j $<4$; $++$j$)\{$

bool &$=($byteCount$($codePoints$[4*$i $+$ j$])==($i $+1))$;

$\}$

$\}$

if $($print$)\{$

for $($int codePoint : codePoints$)\{$

System.out.print$($Character$.$toChars$($codePoint$))$;

$\}$

System.out.println$()$;

$\}$

return bool;

$\}$

$/**$

$*$ Provided that toBytes is defined correctly,

$*$ this method should return true.

$*$

$*$ @param print whether to print the testing chars in the console

$*$ @return true

$*/$

private static boolean testToBytes$($boolean print$)\{$

boolean bool $=$ true;

int$[]$ codePoints $=$ new int$[]\{$

$\text{'}$x$\text{'},\text{'}$y$\text{'},\text{'}$u$\text{'},\text{'}$~$\text{'},$

$230,1345,1488,1551,$

$8450,8477,8484,64289,$

$119046,119047,127934,128512$

$\}$;

byte$[]$ bytes $=$ new byte $[]\{$

$120,121,117,126,$

$-61,-90,-43,-127,-41,-112,-40,-113,$

$-30,-124,-126,-30,-124,-99,-30,-124,-92,-17,-84,-95,$

$-16,-99,-124,-122,-16,-99,-124,-121,-16,-97,-114,-66,-16,-97,-104,-128$

$\}$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[0]),$ new byte$[]\{$ bytes$[0]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[1]),$ new byte$[]\{$ bytes$[1]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[2]),$ new byte$[]\{$ bytes$[2]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[3]),$ new byte$[]\{$ bytes$[3]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[4]),$ new byte$[]\{$ bytes$[4],$ bytes$[5]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[5]),$ new byte$[]\{$ bytes$[6],$ bytes$[7]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[6]),$ new byte$[]\{$ bytes$[8],$ bytes$[9]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[7]),$ new byte$[]\{$ bytes$[10],$ bytes$[11]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[8]),$ new byte$[]\{$ bytes$[12],$ bytes$[13],$ bytes$[14]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[9]),$ new byte$[]\{$ bytes$[15],$ bytes$[16],$ bytes$[17]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[10]),$ new byte$[]\{$ bytes$[18],$ bytes$[19],$ bytes$[20]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[11]),$ new byte$[]\{$ bytes$[21],$ bytes$[22],$ bytes$[23]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[12]),$ new byte$[]\{$ bytes$[24],$ bytes$[25],$ bytes$[26],$ bytes$[27]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[13]),$ new byte$[]\{$ bytes$[28],$ bytes$[29],$ bytes$[30],$ bytes$[31]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[14]),$ new byte$[]\{$ bytes$[32],$ bytes$[33],$ bytes$[34],$ bytes$[35]\})$;

bool &$=$ Arrays.equals$($toBytes$($codePoints$[15]),$ new byte$[]\{$ bytes$[36],$ bytes$[37],$ bytes$[38],$ bytes$[39]\})$;

if $($print$)\{$

for $($int codePoint : codePoints$)\{$

System.out.print$($Character$.$toChars$($codePoint$))$;

$\}$

System.out.println$()$;

$\}$

return bool;

$\}$

$\}$