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 U * I = \$\$\$ (Posted on 2014-01-14)
After finding the unique solution of the alphametic:
YOU*ME=MONEY
insert the 6 distinct digits you have got into the formula :
\$ = (A+B)* (C+D)* (E+F),
to get a maximum value of \$.

 See The Solution Submitted by Ady TZIDON No Rating

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 computer solution Comment 1 of 1

DECLARE SUB permute (a\$)
CLS
DEFDBL A-Z
FOR y = 1 TO 9
used(y) = 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 u = 0 TO 9
IF used(u) = 0 THEN
used(u) = 1
FOR e = 0 TO 9
IF used(e) = 0 THEN
used(e) = 1
FOR n = 0 TO 9
IF used(n) = 0 THEN
used(n) = 1
you = 100 * y + 10 * o + u
me = 10 * m + e
money = 10000 * m + 1000 * o + 100 * n + 10 * e + y
IF you * me = money THEN
PRINT y; o; u, m; e, m; o; n; e; y
ys = y: os = o: us = u: ms = m: es = e: ns = n
ct = ct + 1
END IF

used(n) = 0
END IF
NEXT
used(e) = 0
END IF
NEXT
used(u) = 0
END IF
NEXT
used(o) = 0
END IF
NEXT
used(m) = 0
END IF
NEXT
used(y) = 0
NEXT

PRINT ct
a\$ = LTRIM\$(STR\$(ys)) + LTRIM\$(STR\$(os)) + LTRIM\$(STR\$(us)) + LTRIM\$(STR\$(ms)) + LTRIM\$(STR\$(es)) + LTRIM\$(STR\$(ns))
h\$ = a\$
DO
a = VAL(MID\$(a\$, 1, 1))
b = VAL(MID\$(a\$, 2, 1))
c = VAL(MID\$(a\$, 3, 1))
d = VAL(MID\$(a\$, 4, 1))
e = VAL(MID\$(a\$, 5, 1))
f = VAL(MID\$(a\$, 6, 1))
s = (a + b) * (c + d) * (e + f)
IF s > max THEN
max = s
PRINT a; b; c; d; e; f, s
END IF
permute a\$
LOOP UNTIL a\$ = h\$

finds the solution to the alphametic:

` Y  O  U       M  E          M  O  N  E  Y 8  1  4       2  7          2  1  9  7  8`

and the best total from these digits:

` A  B  C  D  E  F       (A+B)*(C+D)*(E+F)  8  2  1  9  4  7            1100`

 Posted by Charlie on 2014-01-14 17:49:20
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