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".
(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
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Posted by Charlie
on 2011-02-28 11:32:38 |
re(2): Prelim
