“The Square Root of Wonderful” was the name of play on Broadway.

If each letter in WONDERFUL stands for a different digit (zero excluded) and if OODDF, using the same code, represents the square root, then what is the square root of WONDERFUL?

DEFDBL A-Z
FOR o = 1 TO 9
FOR d = 0 TO 9
 IF d <> o THEN
  FOR f = 0 TO 9
   IF f <> o AND f <> d THEN
    ooddf = o * 11000 + d * 110 + f
    wonderful = ooddf * ooddf
    o2 = INT(wonderful / 10000000) MOD 10
    d2 = INT(wonderful / 100000) MOD 10
    f2 = INT(wonderful / 100) MOD 10
    IF o2 = o AND d2 = d AND f2 = f THEN
      PRINT ooddf, wonderful
    END IF
   END IF
  NEXT
 END IF
NEXT
NEXT

22887         523814769

No other numbers printed out and this one has unique digits for wonderful, so 22887 is the square root of wonderful.

Posted by Charlie on 2009-06-07 16:25:10