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cribbage players have long been aware that 15 7

Cribbage players have long been aware that 15 = 7 + 8 = 4 + 5 + 6 =
1+2+3+4+5. Find the number of ways to represent 1050 as a sum of
consecutive positive integers. (The trivial representation ''1050'' by itself
counts as one way; thus there are four, not three, ways to represent 15
as a sum of consecutive positive integers. Incidentally, a knowledge of
cribbage rules is of no use in this problem.)

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