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Salman has a number of stones, weights

Source: 2015 Saudi Arabia GMO TST I p2

July 26, 2020
combinatorics

Problem Statement

In his bag, Salman has a number of stones. The weight of each stone is not greater than 0.50.5 kg and the total weight of the stones is not greater than 2.52.5 kg. Prove that Salman can divide his stones into 44 groups, each group has a total weight not greater than 11 kg
Trần Nam Dũng