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Expressions Matter

8 kyu link to kata
my solution

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.