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Wonderful problem (Posted on 2009-06-07) Difficulty: 2 of 5
“The Square Root of Wonderful” was the name of play on Broadway.

If each letter in WONDERFUL stands for a different digit (zero excluded) and if OODDF, using the same code, represents the square root, then what is the square root of WONDERFUL?

See The Solution Submitted by pcbouhid    
Rating: 2.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution (Maple) | Comment 1 of 7

I believe 'wonderful' represents 523814769, whose square root is 22887.

 

Maple code below..

 

for o to 9 do

for d to 9 do

for f to 9 do

ooddf := 11000*o+110*d+f;

wonderful := ooddf^2;

if length(wonderful) = 9 then

S := convert(convert(wonderful, base, 10), set);

if nops(S) = 9 then print(wonderful, ooddf)

fi fi fi od od od


  Posted by Harry on 2009-06-07 14:46:02
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