Expressions Matter

/*

Task
Given three integers a ,b ,c, return the largest number obtained after inserting the following operators and brackets: +, *, ()
In other words , try every combination of a,b,c with [*+()] , and return the Maximum Obtained (Read the notes for more detail about it)
Example
With the numbers are 1, 2 and 3 , here are some ways of placing signs and brackets:

1 * (2 + 3) = 5
1 * 2 * 3 = 6
1 + 2 * 3 = 7
(1 + 2) * 3 = 9
So the maximum value that you can obtain is 9.

Notes
The numbers are always positive.
The numbers are in the range (1  ≤  a, b, c  ≤  10).
You can use the same operation more than once.
It's not necessary to place all the signs and brackets.
Repetition in numbers may occur .
You cannot swap the operands. For instance, in the given example you cannot get expression (1 + 3) * 2 = 8.
Input >> Output Examples:
expressionsMatter(1,2,3)  ==>  return 9
Explanation:
After placing signs and brackets, the Maximum value obtained from the expression (1+2) * 3 = 9.

expressionsMatter(1,1,1)  ==>  return 3
Explanation:
After placing signs, the Maximum value obtained from the expression is 1 + 1 + 1 = 3.

expressionsMatter(9,1,1)  ==>  return 18
Explanation:
After placing signs and brackets, the Maximum value obtained from the expression is 9 * (1+1) = 18. ___# Task

Given three integers a ,b ,c, return the largest number obtained after inserting the following operators and brackets: +, *, ()
In other words , try every combination of a,b,c with [*+()] , and return the Maximum Obtained
Example
With the numbers are 1, 2 and 3 , here are some ways of placing signs and brackets:

1 * (2 + 3) = 5
1 * 2 * 3 = 6
1 + 2 * 3 = 7
(1 + 2) * 3 = 9
So the maximum value that you can obtain is 9.

Notes
The numbers are always positive.
The numbers are in the range (1  ≤  a, b, c  ≤  10).
You can use the same operation more than once.
It's not necessary to place all the signs and brackets.
Repetition in numbers may occur .
You cannot swap the operands. For instance, in the given example you cannot get expression (1 + 3) * 2 = 8.
Input >> Output Examples:
expressionsMatter(1,2,3)  ==>  return 9
Explanation:
After placing signs and brackets, the Maximum value obtained from the expression (1+2) * 3 = 9.

expressionsMatter(1,1,1)  ==>  return 3


*/


export function expressionsMatter(a: number, b: number, c: number): number {
  
  const i = a * (b + c);
  const j = a + b + c;
  const x = a * b * c;
  const y = a + b * c;
  const z = (a + b) * c;
  return Math.max(i,j,x,y,z);
}