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+A group of students are sitting in a circle with the teacher in the center. 
+They all have an even number of candies (not necessarily equal). 
+When the teacher blows a whistle, each student passes half his candies to the student on his left. 
+Then the students who have an odd number of candies obtain an extra candy from the teacher. 
+Would all the students ever have the same number of candies after a finite number of whistles?