MathDB
Combinatorics

Source: Archimedes Junior 1997

March 17, 2020
combinatorics

Problem Statement

Establish if we can rewrite the numbers 1,2,3,4,5,6,7,8,9,101,2,3,4,5,6,7,8,9,10 in a row in such a way that: (a) The sum of any three consecutive numbers (in the new order) does not exceed 1616. (b) The sum of any three consecutive numbers (in the new order) does not exceed 1515.
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