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MathNet 2010 — Part 06 Question 152

Math Olympiad Vault · MathNet 2010 — Part 06

Question 152

In the expression
$$
12 - 11 - 10 - 9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1
$$
there are somehow placed brackets and the value is calculated. Find the maximum value that can be reached. Justify your answer.

*Notice.* Left bracket can be placed only before a number and right - only after. For example, expressions $-4(-3-2)$ and $-(4-3-2)$ are incorrect.