Find a mathematical expression that yields the value 2016 while obeying the following rules:
- Each of the digits 1,2,3,4,5,6,7,8,9 is used exactly once
- Decimal points are allowed
- You may use brackets "(" and ")" to structure your expression, and to make it well-defined
- The only allowed mathematical operations are addition (+), subtraction (-), multiplication (*) and division (÷)
- The only allowed mathematical functions are square-roots and logarithms. Logarithms must be written in the form log[b](x) to denote the base-b logarithm of number x
Note that in particular the following is not allowed:
- Juxtaposition of digits (as juxtaposing 1 and 3 to get "31")
- other mathematical operations and functions (cube-roots, exponentiation, factorials, absolute values, trigonometric functions, etc)
- matrices and determinants
- integration, differentiation, limits
Answer
9⋅8⋅7⋅6⋅23+5−4−1
And three more à la Perry
1⋅(2−3+4−5+6)⋅7⋅8⋅9
(1+2+3+4+5+6+7)⋅8⋅9
1⋅(2+3+4+5)⋅6⋅(7+8+9)
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