Problem $1.($Die Data Type$)$ Implement a comparable data type called Die that represents a six$-$sided die and supports the following API:

$2$ Die

Die$()$ constructs a die with the face value $-1$

void roll$()$ rolls this die

int value$()$ returns the face value of this die

boolean equals$($Die other$)$ returns true if this die is the same as other, and false otherwise

String toString$()$ returns a string representation of this die

int compareTo$($Die other$)$ returns a comparison of this die and other based on their face values

& ~$/$workspace$/$autocomplete

$ javac $-$d out $ java Die Dice a$,$ b$,$ and $*$

$*$

$*$

$*****$

$*$

$*$

$*$ a$.$equals$($b$)$

a$.$equals$($c$)$ a$.$compareTo$($b$)$ a$.$compareTo$($c$)$

src$/$Die$.$java c:

$=$ false $=$ true $=-1$

$=0$