The proverbs:

The early bird catches the W1.
Where the wolf gets one W2 - he looks for another.
The best horse doesn't always win the W3 .
Better wed over the mixen than over the W4.

The alphametics:

W3+W2=W1
W3-W2=W4

The phrase "The bear came home to the wolf" uses 12 distinct letters, - three of them were not used in the alphametics.

Which three?
What digit was not used in the equations?

(In reply to Proverbs and alphametics don't mix??? by Steve Herman)

Discerning the 3 letters is easy enough however the listing below was written to evaluate the two equations:
W3+W2=W1
W3-W2=W4

Unfortunately it returns a blank screen.

FOR a = 0 TO 9
 IF used(a) = 0 THEN
  used(a) = 1
  FOR b = 0 TO 9
   IF used(b) = 0 THEN
    used(b) = 1
    FOR c = 0 TO 9
     IF used(c) = 0 THEN
      used(c) = 1
      FOR e = 0 TO 9
       IF used(e) = 0 THEN
        used(e) = 1
        FOR l = 1 TO 9
         IF used(l) = 0 THEN
          used(l) = 1
          FOR m = 1 TO 9
           IF used(m) = 0 THEN
            used(m) = 1
            FOR o = 0 TO 9
             IF used(o) = 0 THEN
              used(o) = 1
              FOR r = 1 TO 9
               IF used(r) = 0 THEN
                used(r) = 1
                FOR w = 1 TO 9
                 IF used(w) = 0 THEN
                  used(w) = 1
                  w1 = w * 1000 + o * 100 + r * 10 + m
                  w2 = l * 1000 + a * 100 + m * 10 + b
                  w3 = r * 1000 + a * 100 + c * 10 + e
                  w4 = m * 1000 + o * 100 + o * 10 + r
                  IF w1 = w3 + w2 AND w4 = w3 - w2 THEN  REM advice in a later comment is that this assignment is incorrect.
                   PRINT w1; w2; w3; w4
                  END IF
                  used(w) = 0
                 END IF
                NEXT
                used(r) = 0
               END IF
              NEXT
              used(o) = 0
             END IF
            NEXT
            used(m) = 0
           END IF
          NEXT
          used(l) = 0
         END IF
        NEXT
        used(e) = 0
       END IF
      NEXT
      used(c) = 0
     END IF
    NEXT
    used(b) = 0
   END IF
  NEXT
  used(a) = 0
 END IF
NEXT

Edited on February 17, 2013, 6:35 am

Posted by brianjn on 2013-02-16 22:16:51