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 From proverbs to alphametics (Posted on 2013-02-15)
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?

 No Solution Yet Submitted by Ady TZIDON No Rating

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 New list | Comment 6 of 8 |
Check this out first: http:  //members.iinet.net.au  /~brianjnow  /perplexus  /Perplexians.html (delete all spaces)

Following advice the program listing was adjusted and then a few minor utility lines were added to give this print-out:

W1 worm 8915
W2 lamb  7453
W3 race  1462
W4 moor 5991

OPEN "c:qb64workproverbs.txt" FOR OUTPUT AS #1

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 = w2 - w3 THEN
PRINT "W1"; w1
PRINT "W2"; w2
PRINT "W3"; w3
PRINT "W4"; w4
PRINT #1, "W1 worm"; w1
PRINT #1, "W2 lamb"; w2
PRINT #1, "W3 race"; w3
PRINT #1, "W4 moor"; 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 December 21, 2013, 5:52 am
 Posted by brianjn on 2013-02-17 06:41:52

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