Operator Search Puzzle

Operator Search Puzzle. This Java program counts the number of solutions to make the given equation equal to zero by substituting "-", "+", "*", and "/" operators.
explanation:
1. We define an array of numbers and the target sum (0 in this case).
2. The findSolutions method uses recursive backtracking to try all possible combinations of operators between the numbers.
3. For each number (except the first), we try all four operators and recursively continue with the next number.
4. The applyOperator method performs the arithmetic operation and handles division by zero and non-integer division results.
5. When we reach the end of the numbers array, we check if the result equals the target. If so, we increment the count.
6. Finally, we print the total number of solutions found.
To use this program for your specific example:
1. Change the numbers array in the main method to {5, 4, 3, 3, 1}.
2. The target is already set to 0.
Run the program, and it will output the number of ways to arrange the operators to make the equation equal to zero.
Note: This program considers all possible combinations, including those with multiplication and division. If you only want to consider addition and subtraction, you can modify the operators array to include only '+' and '-'.