I need to complete a simple chess program below. All that is needed is to implement the heirarchy of classes that corresponds to the logic that you already have in the program. The program is sucessfull when a bunch of test passed! are printed. Do not alter the main method or the test method. Assume that there are no other pieces on the board and that you do not need to worry about taking pieces etc.. just make sure that they move in accordance with their respective chess laws.

class Piece $\{$

$//...$

$/**$

$*$ This method does not have to check the validity of the position

$*/$

public void setArbitraryPosition$($Position currentPosition$)\{$

$//...$

$\}$

$/**$

$*$ This method checks if the position is a valid position

$*/$

public boolean isValidPosition$($Position newPosition$)\{$

$//...$

$\}$

$\}$

$//...$

$//$ write here all missing classes

$//...$

public class Chess $\{$

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

Player p$1=$ new Player$("$White player"$)$;

p$1.$setColorWhite$($true$)$;

Player p$2=$ new Player$("$Black player"$)$;

p$2.$setColorWhite$($false$)$;

System.out.println$("$Testing kings:"$)$;

Piece whiteKing $=$ new King$($p$1)$;

whiteKing.setArbitraryPosition$($new Position$(\text{'}$f$\text{'},5))$;

test$($whiteKing$,\text{'}$a$\text{'},1,$ false$)$;

test$($whiteKing$,\text{'}$f$\text{'},4,$ true$)$;

System.out.println$("$Testing rooks:"$)$;

Rook blackRook $=$ new Rook$($p$2)$;

blackRook.setArbitraryPosition$(\text{'}$d$\text{'},5)$;

test$($blackRook$,\text{'}$h$\text{'},5,$ true$)$;

test$($blackRook$,\text{'}$h$\text{'},1,$ false$)$;

test$($blackRook$,\text{'}$d$\text{'},9,$ false$)$;

System.out.println$("$Testing bishops:"$)$;

Piece whiteBishop $=$ new Bishop$($p$1)$;

whiteBishop.setArbitraryPosition$($new Position$(\text{'}$d$\text{'},5))$;

test$($whiteBishop$,\text{'}$b$\text{'},2,$ false$)$;

test$($whiteBishop$,\text{'}$a$\text{'},8,$ true$)$;

System.out.println$("$Testing knigts:"$)$;

Knight blackKnight $=$ new Knight$($p$2)$;

blackKnight.setArbitraryPosition$(\text{'}$d$\text{'},4)$;

test$($blackKnight$,\text{'}$e$\text{'},6,$ true$)$;

test$($blackKnight$,\text{'}$f$\text{'},6,$ false$)$;

test$($blackKnight$,\text{'}$c$\text{'},2,$ true$)$;

test$($blackKnight$,\text{'}$i$\text{'},8,$ false$)$;

System.out.println$("$Testing pawns:"$)$;

Pawn whitePawn $=$ new Pawn$($p$1)$;

Pawn blackPawn $=$ new Pawn$($p$2)$;

blackPawn.setArbitraryPosition$(\text{'}$b$\text{'},4)$;

test$($blackPawn$,\text{'}$b$\text{'},3,$ true$)$;

test$($blackPawn$,\text{'}$b$\text{'},5,$ false$)$;

whitePawn.setArbitraryPosition$(\text{'}$f$\text{'},2)$;

test$($whitePawn$,\text{'}$f$\text{'},3,$ true$)$;

test$($whitePawn$,\text{'}$f$\text{'},4,$ true$)$;

blackPawn.setArbitraryPosition$(\text{'}$g$\text{'},5)$;

test$($blackPawn$,\text{'}$g$\text{'},4,$ true$)$;

test$($blackPawn$,\text{'}$g$\text{'},3,$ false$)$;

whitePawn.setArbitraryPosition$(\text{'}$e$\text{'},7)$;

test$($whitePawn$,\text{'}$d$\text{'},8,$ false$)$;

test$($whitePawn$,\text{'}$f$\text{'},8,$ false$)$;

$\}$

public static void test$($Piece p$,$ char x$,$ int y$,$ boolean valid$)\{$

if $($p$.$isValidPosition$($new Position$($x$,$ y$))==$ valid$)\{$

System.out.println$(">$ Test passed!"$)$;

$\}$ else $\{$

System.out.println$("$ X Test NOT passed!"$)$;

$\}$

$\}$

$\}$