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T _ L L Clue
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⁄3 OF 11⁄2 FEET, WHICH IS HALF A FOOT; AND SO ON - IT GREW HALF A FOOT EVERY DAY. SO IN 198 DAYS, IT GREW 99 FEET, AND THEN WAS 100 FEET TALL