expressions-matter

Expressions Matter

Given three integers a ,b ,c, return the largest number obtained after inserting the following operators and brackets: +, *, ().

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Consider an 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.

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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.

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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.

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

Explanation:

After placing signs, the Maximum value obtained from the expression is 1 + 1 + 1 = 3.

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expressionsMatter(9,1,1)  ==>  return 18

Explanation:

After placing signs and brackets, the Maximum value obtained from the expression is 9 * (1+1) = 18.