MathDB
1+- brackets , sum 10 (VII Soros Olympiad 2000-01 R1 8.5)

Source:

July 27, 2021
combinatorics

Problem Statement

Vanya was asked to write on the board an expression equal to 1010, using only the numbers 11, the signs ++ and - and brackets (you cannot make up the numbers 1111, 111111, etc., as well as (1)(-1)). He knows that the bully Anton will then correct all the ++ signs to - and vice versa. Help Vanya compose the required expression, which will remain equal to 1010 even after Anton's actions.