Mathematics, 04.06.2020 13:20 cathysilvestro

There were 2017 inhabitants on an island. Some of them were truth-tellers and the others were liars. The truth-tellers always tell the truth and the liars always lie. Every day, one of the inhabitants said: "After my departure the number of truth-tellers on the island will equal the number of liars" and then left the island. After 2017 days, there is nobody on the island. How many liars were there initially?

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There were 2017 inhabitants on an island. Some of them were truth-tellers and the others were liars....