• KingGeorge
[UNSOLVED, ANSWER GIVEN] KingGeorge's Challenge of the Month Suppose you have $$n$$ children sitting in a circle waiting for Santa to give each of them one present. When Santa finally arrives, he announces he'll pass out the presents in such a way that he'll go in a clockwise circle, and give a present to every other child who has not yet received a present starting with the second child. Find a closed formula to find which child got the $$n-1$$-th present. If, say, there were 6 children in a circle, the order in which they would get presents is 2, 4, 6, 3, 1, 5. So the 1st child got the $$6-1$$-th present.
Mathematics

Looking for something else?

Not the answer you are looking for? Search for more explanations.