Decode the decimal sum:

           T H I S
     +       I S A
     +   G R E A T
     +     T I M E
       -----------
       W A S T E R

Same letter, same digit; different letters, different digits.

  5628
   280
 97405
  5234
------  
108547

FOR t = 1 TO 9
IF used(t) = 0 THEN
 used(t) = 1
FOR i = 1 TO 9
IF used(i) = 0 THEN
 used(i) = 1
FOR g = 1 TO 9
IF used(g) = 0 THEN
 used(g) = 1
FOR w = 1 TO 9
IF used(w) = 0 THEN
 used(w) = 1
FOR h = 0 TO 9
IF used(h) = 0 THEN
 used(h) = 1
FOR s = 0 TO 9
IF used(s) = 0 THEN
 used(s) = 1
FOR a = 0 TO 9
IF used(a) = 0 THEN
 used(a) = 1
FOR r = 0 TO 9
IF used(r) = 0 THEN
 used(r) = 1
FOR e = 0 TO 9
IF used(e) = 0 THEN
 used(e) = 1
FOR m = 0 TO 9
IF used(m) = 0 THEN
 used(m) = 1

 this = t * 1000 + h * 100 + i * 10 + s
 isa = i * 100 + s * 10 + a
 great = g * 10000 + r * 1000 + e * 100 + a * 10 + t
 time = t * 1000 + i * 100 + m * 10 + e
 waster = w * 100000 + a * 10000 + s * 1000 + t * 100 + e * 10 + r
 IF this + isa + great + time = waster THEN
   PRINT USING "######"; this
   PRINT USING "######"; isa
   PRINT USING "######"; great
   PRINT USING "######"; time
   PRINT USING "######"; waster
 END IF

 used(m) = 0
END IF
NEXT
 used(e) = 0
END IF
NEXT
 used(r) = 0
END IF
NEXT
 used(a) = 0
END IF
NEXT
 used(s) = 0
END IF
NEXT
 used(h) = 0
END IF
NEXT
 used(w) = 0
END IF
NEXT
 used(g) = 0
END IF
NEXT
 used(i) = 0
END IF
NEXT
 used(t) = 0
END IF
NEXT

 

Posted by Charlie on 2008-12-29 19:04:52