1993 IMO Problems/Problem 6
Problem
There are lamps in a circle (), where we denote . (A lamp at all times is either on or off.) Perform steps as follows: at step , if is lit, switch from on to off or vice versa, otherwise do nothing. Initially all lamps are on. Show that:
(a) There is a positive integer such that after steps all the lamps are on again;
(b) If , we can take ;
(c) If , we can take
Solution
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See Also
1993 IMO (Problems) • Resources | ||
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