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May Olympiad 2013, Level 2, Problem 5

Source:

August 24, 2014

Problem Statement

Using 600600 cards, 200200 of them having written the number 55, 200200 having a 22, and the other 200200 having a 11, a student wants to create groups of cards such that the sum of the card numbers in each group is 99. What is the maximum amount of groups that the student may create?
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