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Azerbaijan Contests
Azerbaijan Team Selection Test
2020 Azerbaijan IMO TST
2020 Azerbaijan IMO TST
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Azerbaijan Team Selection Test
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Combinatorics problem
A finite number of stones are good when the weight of each of these stones is less than the total weight of the rest. It is known that arbitrary
n
−
1
n-1
n
−
1
of the given
n
n
n
stones is good. Prove that it is possible to choose a good triple from these stones.