In this puzzle there is a one-to-one correspondence between
10 distinct letters and the digits 0 to 9.
In the set of equations below both
str1 and
str2
are strings of 4 digits:
Given:
sqrt(str1 str2) = chit
and
sqrt(str2 str1) = cash
If 10265102493 is a valid English word, how much
( complying with the puzzle's coding) is q*z ?
Rem: sqrt(str1 str2) is a square root of an 8 digit number represented by a concatenation of the strings in the brackets.
For c = 1 To 9
used(c) = 1
For h = 0 To 9
If used(h) = 0 Then
used(h) = 1
For a = 0 To 9
If used(a) = 0 Then
used(a) = 1
For t = 0 To 9
If used(t) = 0 Then
used(t) = 1
For i = 0 To 9
If used(i) = 0 Then
used(i) = 1
chit = 1000 * c + 100 * h + 10 * i + t
sq1 = chit * chit
If sq1 > 9999999 And sq1 < 100000000 Then
For s = 0 To 9
If used(s) = 0 Then
used(s) = 1
cash = 1000 * c + 100 * a + 10 * s + h
sq2 = cash * cash
If sq2 > 9999999 And sq2 < 100000000 Then
st1$ = LTrim(Str(sq1))
st2$ = LTrim(Str(sq2))
If Left(st1$, 4) = Right(st2$, 4) And Left(st2$, 4) = Right(st1$, 4) Then
Text1.Text = Text1.Text & st1$ & " " & st2$ & crlf
Text1.Text = Text1.Text & cash & Str(chit) & crlf
DoEvents
End If
End If
used(s) = 0
End If
Next
End If
used(i) = 0
End If
Next
used(t) = 0
End If
Next
used(a) = 0
End If
Next
used(h) = 0
End If
Next
used(c) = 0
Next
finds
92968164 81649296 (squares)
9036 9642 (cash and chit)
done
so:
1ath51atics
mathematics
Unassigned digits available for z and q are 7 and 8.
7*8=56
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Posted by Charlie
on 2014-12-15 13:47:25 |
computer solution
