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Mathematics, 14.04.2020 19:08 huynexushuy8786

In a little kingdom, the king and the other 65 citizens each have a salary of one coin. The king cannot vote, but he has the power to suggest changes — in particular, redistribution of salaries. Each person's salary must be a whole number of coins, and the salaries must sum to 66. Each suggestion is voted on and carried if there are more votes for than against. Each voter will definitely vote "yes" if his/her salary is to be increased, "no" if decreased, and otherwise not to bother voting.

The king is both selfish and clever. What is the maximum salary he can obtain for himself?

Hint 1: The king may want, temporarily, to give up his own salary to get things started.
Hint 2: Try to reduce the number of salaried citizens with each voting.

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