Problem $3.$

$-$ Write a program that has the class name Problem$3$ and that has the main method. Leave the main method empty for now.

$-$ Write a method named greaterThanSum that takes one parameter, an integer array a and returns a new integer array $\backslash ($ x $\backslash ).$

$-$ The method finds all the terms of an array a that are greater than the sum of all previous terms of the sequence. If there are no such elements, you can return an empty array.

$-$ Several sample usages are provided for you below. Use the sample usages in the main method to test your code. Create a printArray method that takes an integer array as a parameter and prints out the elements of the array on the same line separated by a comma and space.

$\backslash$begin$\{$tabular$\}\{|$l$|$c$|\}$

$\backslash$hline $\backslash$multicolumn$\{1\}\{|$c$|\}\{$ Sample Method Usage $\}$ & Return value $\backslash \backslash$

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$l$\}$

int$[]$ a$1\backslash (=\backslash \{1,4,16,-19,-12,2,5\backslash \}$ ; $\backslash )\backslash \backslash$

int$[]$ x$1\backslash (=\backslash )$ greaterThanSum$($a$1)$;

$\backslash$end$\{$tabular$\}$ & $\backslash (\backslash \{1,4,16,2,5\backslash \}\backslash )\backslash \backslash$

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$l$\}$

int$[]$ a$2\backslash (=\backslash \{-1,-2,-4,-12$ ~$\backslash \}$ ; $\backslash )\backslash \backslash$

int$[]$ x$2\backslash (=\backslash )$ greaterThanSum$($a$2)$;

$\backslash$end$\{$tabular$\}$ & $\backslash (\backslash \{\backslash )\backslash \}\backslash \backslash$

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$l$\}$

int$[]$ a$3\backslash (=\backslash )\backslash \{29,-10,22,5,-15,19,62\backslash \}$; $\backslash \backslash$

int$[]$ x$3\backslash (=\backslash )$ greaterThanSum$($a$3)$;

$\backslash$end$\{$tabular$\}$ & $\backslash (\backslash \{29,22,62\backslash \}\backslash )\backslash \backslash$

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$l$\}$

int$[]$ a$4\backslash (=\backslash \{\backslash )5,8,17,50\backslash \}$; $\backslash \backslash$

int$[]$ x$4\backslash (=\backslash )$ greaterThanSum$($a$4)$;

$\backslash$end$\{$tabular$\}$ & $\backslash (\backslash \{5,8,17,50\backslash \}\backslash )\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$