Suppose you select 501 numbers from 1 to 1000, inclusive. Show that if no two of the selected numbers differ by 334, then some two of the selected numbers differ by 666.
(In reply to
re: Solution by McWorter)
Why, thanks! Looking back at my solution, I realized that it works not
only for 334 and 666, but for any pair of numbers whose sum is not
greater than 1000.