Mathematics, 16.12.2021 02:40 mollydoll

An international society has members from six different countries. The list of members contains 1978 names, num- bered 1, 2, . . . , 1978. Prove that there exists at least one member whose number is the sum of the numbers of two members from his/her own country, or twice as large as the number of one member from his/her country.

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