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Expressions Matter

Description

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 is (1+2) * 3 = 9.

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

My Solution

def expression_matter(a,b,c)
  [(a + b) * c, a * (b + c), a * b * c, a + b + c].max
end