For this project you will be writing a program called ChessElo.java that presents an interactive menu for calculating a player$$s chess Elo under different conditions.

First, we must calculate the R values from both player$$s Elo:

R$($Player$1)=10^\{(\backslash$frac$\{$Player$1$Elo$\}\{400\})\}$ Note : this is $10^($Player$1$Elo $/400)$

R$($Player$2)=10^\{(\backslash$frac$\{$Player$2$Elo$\}\{400\})\}$

Failure to use the provided Strings may result in a loss First, we must calculate the R values from both player's Elo:

$R($ Player $1)={10}^{(\frac{\text{P}\text{l}\text{a}\text{y}\text{e}\text{r}1\text{E}\text{l}\text{o}}{400})}$ Note : this $is{10}^{{?}^{{?}^{?}}}($ Player$1El\frac{o}{400})$

$R($ Player $2)={10}^{(\frac{\text{P}\text{l}\text{a}\text{y}\text{e}\text{r}2\text{E}\text{l}\text{o}}{400})}$of points.

For this assignment you may not use Lists, ArrayLists, or String.split$().$

You should not round during calculations. All final Elo ratings should be Integers. Integer truncation should automatically remove any decimal values. Do not round! Example: $1301\mathrm{.}55$ would be $1301.$ When doing multiple Elo calculations you should truncate the value between calculations. From the Example above: when you perform a second calculation you should use $1301$ and not $1301\mathrm{.}55.$

The program will greet the user with a one time WELCOME$\_$MESSAGE before printing the MAIN$\_$MENU.

The user will then select $1$ of $4$ options.

Your program must handle invalid inputs on the MENU by printing INVALID$\_$INPUT and reprinting the MAIN$\_$MENU.

Option $1-$ Single Match:

Prompt the user with the SINGLE$\_$MATCH prompt.

The user will input a single match in the format of $[$Play$1$Elo$]-[$W$/$L$][$Player$2$Elo$]$ Examples $1$: $1200-$W$1000(1200$ wins vs $1000).$ Example$2$: $1350-$L$1224(1350$ loses to $1224)$

The program should print the MATCH$\_$OUTCOME prompt followed by the new Elo for the players in the order entered separated by a hyphen $\text{'}-\text{'}.$ Example Output$1$: "The Result of the Single Match is $1206-993".$ Example Output$2$: "The Result of the Single Match is $1333-1240"$

The program should then return to the MAIN$\_$MENU.

You can assume the user will enter a valid parsable input.

Option $2-$ Tournament Results:

Prompt the user with the TOURNAMENT$\_$RESULTS prompt.

The user will input a single line in the format of $[$CompetitorElo$]-$Result$[$OpponentElo$]-$Result$2[$Opponent$2$Elo$]-...$ ResultN$[$OpponentNElo$].$ Example Input: $1350-$L$1500-$W$1200-$L$1480-$W$1415-$L$1520$

Note that the length of the string is not set, your program should handle all result strings of $1$ or greater.

Note: A players Elo changes after EVERY match played. Which will impact the next match's calculation.

The program should print the TOURNAMENT$\_$OUTCOME prompt followed by competitor Elo then each of the opponents' Elo. Example Output: "The Final Tournament Results are $1348-1507-1192-1487-1399-1527".1348$ is the final Elo for the competitor, and the following Elo values are the updated Elo of the opponents after their match.

The program should then return to the MAIN$\_$MENU.

You can assume the user will enter a valid parsable input.

Option $3-$ Field Prediction:

Prompt the user with the FIELD$\_$PREDICTION prompt.

The user will input a single line in the format $[$Elo$1]-[$Elo$2]-[$Elo$3]-...[$EloN$]$ Example: $600-1200-400-800-1350$

The program should print PREDICTION$\_$OUTCOME prompt, the Elo rating of the lowest player $+$ the maximum amount they can win $-$ the max they can lose, and the Elo rating of the highest player $+$ the maximum amount they can win $-$ the max they can lose. Example: "The Chess Elo Calculator Predicts $400(+24/-7)1350(+7/-25)".$ In this example the $400$ would gain the most Elo by winning against the $1350,$ but would lose the most Elo by losing to the $600.$ Meanwhile, the $1350$ would gain the most Elo by winning against the $1200$ and lose the most Elo by losing to the $400.$

The program should then return to the MAIN$\_$MENU.

You can assume the user will enter a valid parsable input.

Option $4-$ Exit:

The program should print the CONFIRMATION prompt.

The user should then enter yes$/$y$/$no$/$n$.$

On yes$/$y the program should print the THANK$\_$YOU message and exit.

On no$/$n it should reprint the MAIN$\_$MENU.

The program should ignore case for yes$/$y$/$no$/$n$.$

On invalid input the program should print INVALID$\_$INPUT and reprint the CONFIRMATION prompt.

The program should continue until the user chooses to exit the program from the main menu.

The output should match exactly as expected. Use String variables provided in the starter code.

You may not utilize static or multiple Scanner objects.

You may not utilize java.util.ArrayList, java.util.List, or String.split$()$ for this assignment.

You may not utilize System.exit$()$ in CS$18000$ assignments.

Sample Test $1$

Welcome to the Chess Elo Calculator!

Please Select an Operation

$1-$ Single Match

$2-$ Tournament Results

$3-$ Field Prediction

$4-$ Exit

$[1]$

Please Enter Player $1\text{'}$s Elo followed by a hyphen $\text{'}-\text{'}$ then the Outcome followed by Player $2\text{'}$s Elo.

$[1200-$W$1000]$

The Result of the Single Match is $1206-993$

Please Select an Operation

$1-$ Single Match

$2-$ Tournament Results

$3-$ Field Prediction

$4-$ Exit

$[4]$

Are You Sure You Want to Exit?

$[$yes$]$

Thank You For Using the Chess Elo Calculator!