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Z for Zero, X for siX (Posted on 2013-08-22) Difficulty: 3 of 5
I have replaced each of the 0 to 9 digits by one of the letters appearing in the English word for that letter.
Trying to decode the multiplication data below, please remember that while Z identifies 0 and X should clearly be replaced by 6,- a string like OOO might represent any of the 4^3 =64 combinations since four digits (0,1,2, and 4 ) contain the letter O in the corresponding word.

Bear in mind that any digit might be represented by distinct letters e.g. 5 might be F in one place and V in another.

Still, I KNOW my question is solvable and there is probably only one solution.
Should I err please post all possible combinations complying with:
        WIT
       *ORE
    =======
    WWVN
    EEE
    OOOW
    =======
     ENORIN


Clearly - no leading zeroes.

No Solution Yet Submitted by Ady TZIDON    
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Solution computer method | Comment 2 of 4 |

CLS
DEFDBL A-Z
DATA ZERO,ONE,TWO,THRE,FOUR,FIVE,SIX,SEVN,EIGHT,NIE,TEN

FOR ptr = 0 TO 9
  READ nam$(ptr)
  ix = INSTR(nam$(ptr), "W"): IF ix > 0 THEN w$ = w$ + LTRIM$(STR$(ptr))
  ix = INSTR(nam$(ptr), "I"): IF ix > 0 THEN i$ = i$ + LTRIM$(STR$(ptr))
  ix = INSTR(nam$(ptr), "T"): IF ix > 0 THEN t$ = t$ + LTRIM$(STR$(ptr))
  ix = INSTR(nam$(ptr), "O"): IF ix > 0 THEN o$ = o$ + LTRIM$(STR$(ptr))
  ix = INSTR(nam$(ptr), "R"): IF ix > 0 THEN r$ = r$ + LTRIM$(STR$(ptr))
  ix = INSTR(nam$(ptr), "E"): IF ix > 0 THEN e$ = e$ + LTRIM$(STR$(ptr))
  ix = INSTR(nam$(ptr), "N"): IF ix > 0 THEN n$ = n$ + LTRIM$(STR$(ptr))
  ix = INSTR(nam$(ptr), "V"): IF ix > 0 THEN v$ = v$ + LTRIM$(STR$(ptr))

NEXT
PRINT w$
PRINT i$
PRINT t$
PRINT o$
PRINT r$
PRINT e$
PRINT n$
PRINT v$

FOR wp = 1 TO LEN(w$)
   w = VAL(MID$(w$, wp, 1))
FOR ip = 1 TO LEN(i$)
   i = VAL(MID$(i$, ip, 1))
FOR tp = 1 TO LEN(t$)
   t = VAL(MID$(t$, tp, 1))
FOR op = 1 TO LEN(o$)
   o = VAL(MID$(o$, op, 1))
FOR rp = 1 TO LEN(r$)
   r = VAL(MID$(r$, rp, 1))
FOR ep = 1 TO LEN(e$)
   e = VAL(MID$(e$, ep, 1))
   wit = 100 * w + 10 * i + t
   ore = 100 * o + 10 * r + e
   enorin = wit * ore
   enorin$ = LTRIM$(STR$(enorin))
   IF LEN(enorin$) = 6 THEN
     IF INSTR(e$, MID$(enorin$, 1, 1)) > 0 THEN
     IF INSTR(n$, MID$(enorin$, 2, 1)) > 0 THEN
     IF INSTR(o$, MID$(enorin$, 3, 1)) > 0 THEN
     IF INSTR(r$, MID$(enorin$, 4, 1)) > 0 THEN
     IF INSTR(i$, MID$(enorin$, 5, 1)) > 0 THEN
     IF INSTR(n$, MID$(enorin$, 6, 1)) > 0 THEN
        PRINT wit; ore, enorin
        PRINT "   "; wit
        PRINT "   "; ore
        PRINT " ------"
        PRINT "  "; wit * e
        PRINT "  "; wit * r
        PRINT wit * o
        PRINT " ------"
        PRINT enorin
     END IF
     END IF
     END IF
     END IF
     END IF
     END IF
   END IF
NEXT
NEXT
NEXT
NEXT
NEXT
NEXT

finds

    253
    439
 ------
   2277
   759
 1012
 ------
 111067

  Posted by Charlie on 2013-08-22 16:10:47
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