Question: Please give me correct solution in 20 minutes. three students start with piles of 2], 2] + 2, and 2] + 2k candies, respectively, for

Please give me correct solution in 20 minutes.

three students start with piles of 2], 2] + 2, and 2] + 2k candies, respectively, for integers j> 1 and k > j. In each round, all the students give each of the others half of their pile, and then receive (from an external supply) one additional candy if they happen to end up with an odd number of candies. Show that after a "nite number of rounds, all students have the same number of candies, and determine how many rounds it will take to reach this state. Can you determine the "nal number of candies each student will have at the end

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