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First Floobles Factorization (Posted on 2013-10-04) Difficulty: 3 of 5


Given:
The factorization into 3 factors:
FLOOBLES= S*FSBS*FADO

Question:
What can be stated about my diet?

Answer:
2 534 31 1274 1338


Assignment:
Decode the answer

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution Comment 2 of 2 |

DEFDBL A-Z

CLS

FOR s = 1 TO 9
 used(s) = 1
FOR f = 1 TO 9
 IF used(f) = 0 THEN
   used(f) = 1
FOR b = 0 TO 9
 IF used(b) = 0 THEN
   used(b) = 1
   fsbs = 1000 * f + 101 * s + 10 * b
FOR a = 0 TO 9
 IF used(a) = 0 THEN
   used(a) = 1
FOR d = 0 TO 9
 IF used(d) = 0 THEN
   used(d) = 1
FOR o = 0 TO 9
 IF used(o) = 0 THEN
   used(o) = 1
   fado = 1000 * f + 100 * a + 10 * d + o
FOR l = 0 TO 9
 IF used(l) = 0 THEN
   used(l) = 1
FOR e = 0 TO 9
 IF used(e) = 0 THEN
   used(e) = 1
     floobles = 10000000 * f + 1000100 * l + 110000 * o + 1000 * b + 10 * e + s
     IF floobles = s * fsbs * fado THEN
         PRINT floobles; s; fsbs; fado
         s$ = "2 534 31 1274 1338"
         FOR i = 1 TO LEN(s$)
           v = VAL(MID$(s$, i, 1))
           IF MID$(s$, i, 1) = " " THEN v = -99
           SELECT CASE v
             CASE s: PRINT "s";
             CASE f: PRINT "f";
             CASE b: PRINT "b";
             CASE a: PRINT "a";
             CASE d: PRINT "d";
             CASE o: PRINT "o";
             CASE l: PRINT "l";
             CASE e: PRINT "e";
             CASE -99: PRINT " ";
             CASE ELSE: PRINT "_";
           END SELECT
         NEXT
         PRINT : PRINT
     END IF
   used(e) = 0
 END IF
NEXT
   used(l) = 0
 END IF
NEXT
   used(o) = 0
 END IF
NEXT
   used(d) = 0
 END IF
NEXT
   used(a) = 0
 END IF
NEXT
   used(b) = 0
 END IF
NEXT
   used(f) = 0
 END IF
NEXT
 used(s) = 0
NEXT

Finds two mathematical solutions to the alphametic:

 FLOOBLES  S  FSBS  FADO
 
 15330567  7  1707  1283
a lo_ of fas_ food
 15774528  8  1848  1067
e l_b _f feob f__s

Only the first one allows a coherent decoding of the answer: A lot of fast food, with the mathematically unassigned 4 being assigned to the letter T.


  Posted by Charlie on 2013-10-04 19:51:51
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