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Melting the ice (Posted on 2011-09-01) Difficulty: 4 of 5
        let 	
       *ice
       melt
      edit
     euro  
     easily  
In the above sentence the letter "E" represents a certain digit.
Other letters replace other digits, distinct from the digit assigned to E, but not as one-to-one function.

1. Find a solution (not necessarily mine).

Bonus
2. Devise a sentence that is more sensible or relevant for the above multiplication sample, but retains the value held by the letter "E"{or a corresponding letter in your solution} in same positions as in my original text.

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution all solutons (computer) | Comment 2 of 12 |

E can be 3, 2 or 6. However, all the solutions in which E is 2 involve the words EDIT and EURO to be represented by the same 4-digit number--not specifically forbidden, but somewhat against the spirit of the puzzle.


    434
    893
   1302
  3906
 3472
 387562
    435 
    783
   1305
  3480
 3045
 340605
    435 
    793
   1305
  3915
 3045
 344955
    435 
    873
   1305
  3045
 3480
 379755
    435 
    883
   1305
  3480
 3480
 384105
    435 
    893
   1305
  3915
 3480
 388455
    436 
    793
   1308
  3924
 3052
 345748
    436 
    873
   1308
  3052
 3488
 380628
    436 
    883
   1308
  3488
 3488
 384988
    437 
    783
   1311
  3496
 3059
 342171
    437 
    873
   1311
  3059
 3496
 381501
    437 
    883
   1311
  3496
 3496
 385871
    438 
    783
   1314
  3504
 3066
 342954
    438 
    883
   1314
  3504
 3504
 386754
    439 
    893
   1317
  3951
 3512
 392027
    620 
    442
   1240
  2480
 2480
 274040
    624 
    442
   1248
  2496
 2496
 275808
    627 
    442
   1254
  2508
 2508
 277134
    629 
    442
   1258
  2516
 2516
 278018
    768 
    886
   4608
  6144
 6144
 680448
    768 
    896
   4608
  6912
 6144
 688128
    769 
    886
   4614
  6152
 6152
 681334
    769 
    896
   4614
  6921
 6152
 689024

CLS
OPEN "meltice2.txt" FOR OUTPUT AS #2
FOR numLet = 100 TO 999
  e = (numLet \ 10) MOD 10
  es$ = LTRIM$(STR$(e))
FOR ice = 100 TO 999
  IF ice MOD 10 = e THEN
    melt = numLet * e
    melt$ = LTRIM$(STR$(melt))
    ix = INSTR(melt$, es$)
    IF ix = 2 AND LEN(melt$) = 4 THEN
      IF INSTR(MID$(melt$, 3), es$) = 0 THEN
        c = (ice \ 10) MOD 10
        edit$ = LTRIM$(STR$(numLet * c))
        IF LEFT$(edit$, 1) = es$ AND LEN(edit$) = 4 THEN
          IF INSTR(MID$(edit$, 2), es$) = 0 THEN
            i = (ice \ 100)
            euro$ = LTRIM$(STR$(numLet * i))
            IF LEFT$(euro$, 1) = es$ AND LEN(euro$) = 4 THEN
              IF INSTR(MID$(euro$, 2), es$) = 0 THEN
                easily$ = LTRIM$(STR$(numLet * ice))
                IF LEFT$(easily$, 1) = es$ THEN
                  IF INSTR(MID$(easily$, 2), es$) = 0 THEN
                     PRINT "   "; numLet
                     PRINT "   "; ice
                     PRINT "  "; melt: PRINT "  "; edit$: PRINT " "; euro$
                     PRINT numLet * ice
                     PRINT
                     PRINT #2, "   "; numLet
                     PRINT #2, "   "; ice
                     PRINT #2, "  "; melt: PRINT #2, "  "; edit$: PRINT #2, " "; euro$
                     PRINT #2, numLet * ice
                     PRINT #2,
                  END IF
                END IF
              END IF
            END IF
          END IF
        END IF
      END IF
    END IF
  END IF
NEXT
NEXT

 


  Posted by Charlie on 2011-09-01 17:50:10
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