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 Dudeney revisited (Posted on 2010-11-20)
I have taken a liberty to shorten "The shopkeeper's puzzle" created by H.E. Dudeney about 125 years ago:
If you decode the alphametics gaunt+oiler=rguoei the sequence 1234567890 will represent a valid English word.
What word?

 No Solution Yet Submitted by Ady TZIDON No Rating

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 computer solution | Comment 1 of 2

DECLARE SUB permute (a\$)
CLS
a\$ = "gauntoiler": h\$ = a\$
DO
g = INSTR(a\$, "g") - 1
a = INSTR(a\$, "a") - 1
u = INSTR(a\$, "u") - 1
n = INSTR(a\$, "n") - 1
t = INSTR(a\$, "t") - 1
o = INSTR(a\$, "o") - 1
i = INSTR(a\$, "i") - 1
l = INSTR(a\$, "l") - 1
e = INSTR(a\$, "e") - 1
r = INSTR(a\$, "r") - 1
gaunt = g * 10000 + a * 1000 + u * 100 + n * 10 + t
oiler = o * 10000 + i * 1000 + l * 100 + e * 10 + r
rguoei = r * 100000 + g * 10000 + u * 1000 + o * 100 + e * 10 + i
IF gaunt + oiler = rguoei THEN
PRINT MID\$(a\$, 2) + LEFT\$(a\$, 1)
END IF
permute a\$
LOOP UNTIL a\$ = h\$

finds the possible solutions to the alphametic, for 1234567890, as one of:

reglutiaon
regulation
reugaltion
reutilgaon
rgelutiaon
rgeulation
rguealtion
rgutileaon
rutieglaon
rutigelaon

Only regulation is a valid English word.

Edited on November 20, 2010, 8:32 pm
 Posted by Charlie on 2010-11-20 20:31:25

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