Consider the partial class declarations below.

public class Pixel $\{$

$//$ instance variables and

$//$ constructors not shown

public int getRed$()\{...\}$

public int getGreen$()\{...\}$

public int getBlue$()\{...\}$

public void setRed$($int value$)\{...\}$

public void getGreen$($int value$)\{...\}$

public void getBlue$($int value$)\{...\}$

$//$ other methods not shown

$\}$

public class ImagePlus $\{$

private Pixel$[][]$ pixels;

$//$ other instance variables,

$//$ constructors, and methods not shown

$//$ to be implemented

public void sepiaFilter$()\{...\}$

$\}$

A color image can be converted to a sepia tone by modifying each of the Pixel objects as follows:

Sepia Filter Description

newR $=0\mathrm{.}393$R $+0\mathrm{.}769$G $+0\mathrm{.}189$B

newG $=0\mathrm{.}349$R $+0\mathrm{.}686$G $+0\mathrm{.}168$B

newB $=0\mathrm{.}272$R $+0\mathrm{.}534$G $+0\mathrm{.}131$B

where R$,$ G$,$ and B are the pre$-$filter color values of the Pixel object $($i$.$e$.-($R$,$G$,$B$)->($newR$,$ newG, newB$))$

Write the ImagePlus method sepiaFilter$()$ which should modify the Pixel RGB values in the pixels array according to the description above.

public void sepiaFilter$()\{$