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Three W answers (Posted on 2011-02-27) Difficulty: 3 of 5
Find the minimal and maximal amounts of money in the following base 10 alphametics:

NOW+SHOW+ME+YOUR=MONEY

For both cases find the values corresponding to "WHY","WHEN", & "WHO ME".

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

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Solution re(2): Prelim | Comment 4 of 6 |
(In reply to re: Prelim by Ady TZIDON)

now  show  me  your  money
230  8630  15  4379  13254
257  8457  13  6509  15236
259  6459  13  8507  15238
264  8364  19  7650  16297
269  8369  15  7604  16257
420  5820  19  6237  12496
428  6728  10  5239  12405
429  5729  10  6238  12406
562  8362  14  7609  16547
620  7820  19  4235  12694
624  8724  15  3290  12653
752  6352  10  8594  15708
823  6723  10  5249  12805
834  5634  10  7329  13807
923  4823  16  7205  12967
 

Smallest and largest can be found by inspection:12405 and 16547.

DEFDBL A-Z
FOR n = 1 TO 9
 used(n) = 1
FOR o = 0 TO 9
 IF used(o) = 0 THEN
   used(o) = 1
FOR w = 0 TO 9
 IF used(w) = 0 THEN
   used(w) = 1
   now = n * 100 + o * 10 + w
FOR s = 1 TO 9
 IF used(s) = 0 THEN
   used(s) = 1
FOR h = 0 TO 9
 IF used(h) = 0 THEN
   used(h) = 1
   show = s * 1000 + h * 100 + o * 10 + w
FOR m = 1 TO 9
 IF used(m) = 0 THEN
   used(m) = 1
FOR e = 0 TO 9
 IF used(e) = 0 THEN
   used(e) = 1
   me = m * 10 + e
FOR y = 1 TO 9
 IF used(y) = 0 THEN
   used(y) = 1
   money = 10000 * m + 1000 * o + 100 * n + 10 * e + y
FOR u = 0 TO 9
 IF used(u) = 0 THEN
   used(u) = 1
FOR r = 0 TO 9
 IF used(r) = 0 THEN
   used(r) = 1
   your = 1000 * y + 100 * o + 10 * u + r
   IF now + show + me + your = money THEN
     PRINT now; show; me; your; money
   END IF
   used(r) = 0
 END IF
NEXT
   used(u) = 0
 END IF
NEXT
   used(y) = 0
 END IF
NEXT
   used(e) = 0
 END IF
NEXT
   used(m) = 0
 END IF
NEXT
   used(h) = 0
 END IF
NEXT
   used(s) = 0
 END IF
NEXT
   used(w) = 0
 END IF
NEXT
   used(o) = 0
 END IF
NEXT
 used(n) = 0
NEXT

 

 


  Posted by Charlie on 2011-02-28 11:32:38
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