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What is the next number in the sequence?
$1, 2, 4, 3, 9, 5, 6, 10, 16, 7, 11, 8, 25, 12, 17, 13, 14, 18, 36, 15, 26, 19, 20, 21, 49, 27, 22, 23, 28, 37, 24, 29, 64, 30, 31, 38, 32, 33, 50, 39, 81, 34, 40, 35, 41, 42, 51, 43, 44, 45, 100, 65, ?$
Clue 1: Insert the next number into the sequence!
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