+1218 Ten positive integers (not necessarily distinct) are arranged in a circle. An integer is colored red if it is equal to the average of its two neighbors. What is the largest possible number of red numbers?
+1211
Ten positive integers (not necessarily distinct) are arranged in a circle. An integer is colored red if it is equal to the average of its two neighbors. What is the largest possible number of red numbers?
"not necessarily distinct" is the key to the answer. All ten integers can be the same.
Thus, every integer is the average of the two on either side. Total red numbers, all ten.
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