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Spelling bee results (Posted on 2017-12-08) Difficulty: 3 of 5
Four brothers (Abe, Ben, Chen, and Dan), joined by their spouses (Eva, Fanny, Gilda, and Helen) have participated in a spelling bee contest, earning jointly 32 points.

Is it possible to find out who is married to whom, given that:
a. Each of the men got different amount of points
b. Abe and his wife got the same amount of points
c. Dan got twice as many points as his spouse
d. Ben got thrice as many points as his spouse
e. Chen got four times as many points as his spouse.
f. Abe’s points quantity equals the joint sum of Helen's and her husband's.
g. Pairwise, Gilda and her husband are 2nd on the list.

Provide both the possible pairs' matching(s) and the corresponding points' distribution(s).

BONUS: How would your solutions change if one of the conditions (a to g) were erased; answer for each of them.

No Solution Yet Submitted by Ady TZIDON    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution with most of the bonuses Comment 1 of 1
With husband and wife's initials and scores aligned vertically, these are the possibilities as given by the clues:

a6 b3 c8 d4
e6,f1,g2,h2,

a3 b6 c12 d2
e3,g2,f3, h1,

a6 b3 c8 d4
f6,e1,g2,h2,

a3 b6 c12 d2
f3,g2,e3, h1,

If condition a were eliminated (in order husband a, b, c, d):

6 3 8 4
e6,f1,g2,h2,

5 6 4 6
e5,f2,h1,g3,

3 6 12 2
e3,g2,f3,h1,

6 3 8 4
f6,e1,g2,h2,

5 6 4 6
f5,e2,h1,g3,

3 6 12 2
f3,g2,e3,h1,

4 3 4 10
g4,h1,e1,f5,

4 3 4 10
g4,h1,f1,e5,

If condition b were eliminated:

a3 b15 c4 d2
e1,f5,g1,h1,

a3 b9 c8 d2
e4,f3,g2,h1,

a6 b3 c8 d4
e6,f1,g2,h2,

a3 b6 c8 d2
e8,f2,g2,h1,

a5 b9 c4 d6
e1,f3,h1,g3,

a5 b3 c4 d6
e9,f1,h1,g3,

a3 b6 c12 d2
e3,g2,f3,h1,

a3 b6 c4 d2
e13,g2,f1,h1,

a5 b6 c4 d8
e2,g2,h1,f4,

a5 b6 c4 d2
e11,g2,h1,f1,

a4 b3 c8 d2
e11,h1,g2,f1,

a3 b15 c4 d2
f1,e5,g1,h1,

a3 b9 c8 d2
f4,e3,g2,h1,

a6 b3 c8 d4
f6,e1,g2,h2,

a3 b6 c8 d2
f8,e2,g2,h1,

a5 b9 c4 d6
f1,e3,h1,g3,

a5 b3 c4 d6
f9,e1,h1,g3,

a3 b6 c12 d2
f3,g2,e3,h1,

a3 b6 c4 d2
f13,g2,e1,h1,

a5 b6 c4 d8
f2,g2,h1,e4,

a5 b6 c4 d2
f11,g2,h1,e1,

a4 b3 c8 d2
f11,h1,g2,e1,

a6 b3 c12 d4
g1,e1,f3,h2,

a3 b12 c4 d2
g5,e4,f1,h1,

a5 b3 c4 d10
g3,e1,h1,f5,

a5 b12 c4 d2
g3,e4,h1,f1,

a5 b3 c4 d8
g6,e1,h1,f4,

a6 b3 c12 d4
g1,f1,e3,h2,

a3 b12 c4 d2
g5,f4,e1,h1,

a5 b3 c4 d10
g3,f1,h1,e5,

a5 b12 c4 d2
g3,f4,h1,e1,

a5 b3 c4 d8
g6,f1,h1,e4,

a4 b3 c16 d2
g1,h1,e4,f1,

a4 b3 c12 d2
g6,h1,e3,f1,

a4 b3 c16 d2
g1,h1,f4,e1,

a4 b3 c12 d2
g6,h1,f3,e1,

If condition c were eliminated:

a2 b12 c8 d1
e2,f4,g2,h1,

a6 b3 c8 d5
e6,f1,g2,h1,

a6 b3 c8 d4
e6,f1,g2,h2,

a6 b3 c8 d2
e6,f1,g2,h4,

a6 b3 c8 d1
e6,f1,g2,h5,

a5 b6 c4 d8
e5,f2,h1,g1,

a5 b6 c4 d7
e5,f2,h1,g2,

a5 b6 c4 d3
e5,f2,h1,g6,

a5 b6 c4 d2
e5,f2,h1,g7,

a5 b6 c4 d1
e5,f2,h1,g8,

a3 b6 c12 d2
e3,g2,f3,h1,

a3 b6 c12 d1
e3,g2,f3,h2,

a2 b12 c8 d1
f2,e4,g2,h1,

a6 b3 c8 d5
f6,e1,g2,h1,

a6 b3 c8 d4
f6,e1,g2,h2,

a6 b3 c8 d2
f6,e1,g2,h4,

a6 b3 c8 d1
f6,e1,g2,h5,

a5 b6 c4 d8
f5,e2,h1,g1,

a5 b6 c4 d7
f5,e2,h1,g2,

a5 b6 c4 d3
f5,e2,h1,g6,

a5 b6 c4 d2
f5,e2,h1,g7,

a5 b6 c4 d1
f5,e2,h1,g8,

a3 b6 c12 d2
f3,g2,e3,h1,

a3 b6 c12 d1
f3,g2,e3,h2,

a5 b9 c4 d3
g5,e3,f1,h2,

a5 b9 c4 d2
g5,e3,f1,h3,

a5 b9 c4 d1
g5,e3,f1,h4,

a5 b3 c4 d12
g5,e1,h1,f1,

a5 b3 c4 d11
g5,e1,h1,f2,

a5 b9 c4 d3
g5,e3,h1,f2,

a5 b3 c4 d10
g5,e1,h1,f3,

a5 b9 c4 d2
g5,e3,h1,f3,

a5 b3 c4 d9
g5,e1,h1,f4,

a5 b9 c4 d1
g5,e3,h1,f4,

a5 b3 c4 d8
g5,e1,h1,f5,

a5 b3 c4 d7
g5,e1,h1,f6,

a5 b3 c4 d6
g5,e1,h1,f7,

a5 b3 c4 d2
g5,e1,h1,f11,

a5 b3 c4 d1
g5,e1,h1,f12,

a5 b9 c4 d3
g5,f3,e1,h2,

a5 b9 c4 d2
g5,f3,e1,h3,

a5 b9 c4 d1
g5,f3,e1,h4,

a5 b3 c4 d12
g5,f1,h1,e1,

a5 b3 c4 d11
g5,f1,h1,e2,

a5 b9 c4 d3
g5,f3,h1,e2,

a5 b3 c4 d10
g5,f1,h1,e3,

a5 b9 c4 d2
g5,f3,h1,e3,

a5 b3 c4 d9
g5,f1,h1,e4,

a5 b9 c4 d1
g5,f3,h1,e4,

a5 b3 c4 d8
g5,f1,h1,e5,

a5 b3 c4 d7
g5,f1,h1,e6,

a5 b3 c4 d6
g5,f1,h1,e7,

a5 b3 c4 d2
g5,f1,h1,e11,

a5 b3 c4 d1
g5,f1,h1,e12,

a4 b3 c12 d2
g4,h1,e3,f3,

a4 b3 c12 d1
g4,h1,e3,f4,

a4 b3 c12 d2
g4,h1,f3,e3,

a4 b3 c12 d1
g4,h1,f3,e4,

Skipping now to eliminating condition f:

a1 b3 c4 d14
e1,f1,g1,h7,

a2 b9 c8 d4
e2,f3,g2,h2,

a6 b3 c8 d4
e6,f1,g2,h2,

a10 b3 c4 d2
e10,f1,g1,h1,

a1 b3 c16 d4
e1,f1,h4,g2,

a1 b12 c4 d6
e1,f4,h1,g3,

a2 b3 c12 d6
e2,f1,h3,g3,

a3 b9 c4 d6
e3,f3,h1,g3,

a7 b3 c4 d6
e7,f1,h1,g3,

a1 b9 c12 d2
e1,g3,f3,h1,

a2 b6 c4 d10
e2,g2,f1,h5,

a3 b6 c12 d2
e3,g2,f3,h1,

a8 b6 c4 d2
e8,g2,f1,h1,

a1 b9 c12 d2
e1,g3,h3,f1,

a2 b6 c4 d10
e2,g2,h1,f5,

a3 b6 c12 d2
e3,g2,h3,f1,

a8 b6 c4 d2
e8,g2,h1,f1,

a1 b3 c16 d4
e1,h1,f4,g2,

a1 b12 c4 d6
e1,h4,f1,g3,

a2 b3 c12 d6
e2,h1,f3,g3,

a3 b9 c4 d6
e3,h3,f1,g3,

a7 b3 c4 d6
e7,h1,f1,g3,

a1 b3 c4 d14
e1,h1,g1,f7,

a2 b9 c8 d4
e2,h3,g2,f2,

a6 b3 c8 d4
e6,h1,g2,f2,

a10 b3 c4 d2
e10,h1,g1,f1,

a1 b3 c4 d14
f1,e1,g1,h7,

a2 b9 c8 d4
f2,e3,g2,h2,

a6 b3 c8 d4
f6,e1,g2,h2,

a10 b3 c4 d2
f10,e1,g1,h1,

a1 b3 c16 d4
f1,e1,h4,g2,

a1 b12 c4 d6
f1,e4,h1,g3,

a2 b3 c12 d6
f2,e1,h3,g3,

a3 b9 c4 d6
f3,e3,h1,g3,

a7 b3 c4 d6
f7,e1,h1,g3,

a1 b9 c12 d2
f1,g3,e3,h1,

a2 b6 c4 d10
f2,g2,e1,h5,

a3 b6 c12 d2
f3,g2,e3,h1,

a8 b6 c4 d2
f8,g2,e1,h1,

a1 b9 c12 d2
f1,g3,h3,e1,

a2 b6 c4 d10
f2,g2,h1,e5,

a3 b6 c12 d2
f3,g2,h3,e1,

a8 b6 c4 d2
f8,g2,h1,e1,

a1 b3 c16 d4
f1,h1,e4,g2,

a1 b12 c4 d6
f1,h4,e1,g3,

a2 b3 c12 d6
f2,h1,e3,g3,

a3 b9 c4 d6
f3,h3,e1,g3,

a7 b3 c4 d6
f7,h1,e1,g3,

a1 b3 c4 d14
f1,h1,g1,e7,

a2 b9 c8 d4
f2,h3,g2,e2,

a6 b3 c8 d4
f6,h1,g2,e2,

a10 b3 c4 d2
f10,h1,g1,e1,

a5 b3 c12 d2
g5,e1,f3,h1,

a5 b3 c12 d2
g5,e1,h3,f1,

a5 b3 c12 d2
g5,f1,e3,h1,

a5 b3 c12 d2
g5,f1,h3,e1,

a5 b3 c12 d2
g5,h1,e3,f1,

a5 b3 c12 d2
g5,h1,f3,e1,

a1 b3 c16 d4
h1,e1,f4,g2,

a1 b12 c4 d6
h1,e4,f1,g3,

a2 b3 c12 d6
h2,e1,f3,g3,

a3 b9 c4 d6
h3,e3,f1,g3,

a7 b3 c4 d6
h7,e1,f1,g3,

a1 b3 c4 d14
h1,e1,g1,f7,

a2 b9 c8 d4
h2,e3,g2,f2,

a6 b3 c8 d4
h6,e1,g2,f2,

a10 b3 c4 d2
h10,e1,g1,f1,

a1 b3 c16 d4
h1,f1,e4,g2,

a1 b12 c4 d6
h1,f4,e1,g3,

a2 b3 c12 d6
h2,f1,e3,g3,

a3 b9 c4 d6
h3,f3,e1,g3,

a7 b3 c4 d6
h7,f1,e1,g3,

a1 b3 c4 d14
h1,f1,g1,e7,

a2 b9 c8 d4
h2,f3,g2,e2,

a6 b3 c8 d4
h6,f1,g2,e2,

a10 b3 c4 d2
h10,f1,g1,e1,

a1 b9 c12 d2
h1,g3,e3,f1,

a2 b6 c4 d10
h2,g2,e1,f5,

a3 b6 c12 d2
h3,g2,e3,f1,

a8 b6 c4 d2
h8,g2,e1,f1,

a1 b9 c12 d2
h1,g3,f3,e1,

a2 b6 c4 d10
h2,g2,f1,e5,

a3 b6 c12 d2
h3,g2,f3,e1,

a8 b6 c4 d2
h8,g2,f1,e1,

Finally, eliminating condition g:

a3 b6 c12 d2
e3,f2,g3,h1,

a6 b3 c8 d4
e6,f1,g2,h2,

a3 b6 c12 d2
e3,g2,f3,h1,

a6 b3 c8 d4
e6,g1,f2,h2,

a8 b6 c4 d2
e8,h2,f1,g1,

a8 b6 c4 d2
e8,h2,g1,f1,

a3 b6 c12 d2
f3,e2,g3,h1,

a6 b3 c8 d4
f6,e1,g2,h2,

a3 b6 c12 d2
f3,g2,e3,h1,

a6 b3 c8 d4
f6,g1,e2,h2,

a8 b6 c4 d2
f8,h2,e1,g1,

a8 b6 c4 d2
f8,h2,g1,e1,

a3 b6 c12 d2
g3,e2,f3,h1,

a6 b3 c8 d4
g6,e1,f2,h2,

a3 b6 c12 d2
g3,f2,e3,h1,

a6 b3 c8 d4
g6,f1,e2,h2,

a8 b6 c4 d2
g8,h2,e1,f1,

a8 b6 c4 d2
g8,h2,f1,e1,


For the full set of rules:

DefDbl A-Z
Dim crlf$, score(4)


Private Sub Form_Load()
 Form1.Visible = True
 
 
 Text1.Text = ""
 crlf = Chr$(13) + Chr$(10)
 
 w$ = "efgh": s$ = w
 Do
   For a = 1 To 14
    DoEvents
     ws1$ = Left(w, 1) + LTrim(Str(a)) + ","
     score(1) = a
   For b = 3 To 22 Step 3
     If b <> a Then
       score(2) = b
       ws2$ = ws1 + Mid(w, 2, 1) + LTrim(Str(b / 3)) + ","
       For c = 4 To 22 Step 4
        DoEvents
         If c <> a And c <> b Then
          score(3) = c
          ws3$ = ws2 + Mid(w, 3, 1) + LTrim(Str(c / 4)) + ","
          For d = 2 To 22 Step 2
            DoEvents
              If d <> a And d <> b And d <> c Then
                If 2 * a + d + d / 2 + b + b / 3 + c + c / 4 = 32 Then
                 score(4) = d
                 ws4$ = ws3 + Mid(w, 4, 1) + LTrim(Str(d / 2)) + ","
                 ix = InStr(w, "h")
                 ix2 = InStr(ws4, "h")
                 hAndHusb = score(ix) + Val(Mid(ws4, ix2 + 1))
                 If a = hAndHusb Then
                  ix = InStr(w, "g")
                  ix2 = InStr(ws4, "g")
                  gAndHusb = score(ix) + Val(Mid(ws4, ix2 + 1))
                  ix = InStr(w, "e")
                  ix2 = InStr(ws4, "e")
                  eAndHusb = score(ix) + Val(Mid(ws4, ix2 + 1))
                  ix = InStr(w, "f")
                  ix2 = InStr(ws4, "f")
                  fAndHusb = score(ix) + Val(Mid(ws4, ix2 + 1))
                  ctgt = 0
                  If gAndHusb > eAndHusb Then ctgt = ctgt + 1
                  If gAndHusb > fAndHusb Then ctgt = ctgt + 1
                  If gAndHusb > hAndHusb Then ctgt = ctgt + 1
                  If ctgt = 2 Then
                    Text1.Text = Text1.Text & a & Str(b) & Str(c) & Str(d) & crlf
                    Text1.Text = Text1.Text & w & "    " & ws4 & crlf & crlf
                  End If
                 End If
                End If
              End If
           Next d
         End If
       Next c
     End If
   Next b
   Next a
   permute w
 Loop Until w = s
 
 Text1.Text = Text1.Text & crlf & " done"
  
End Sub

  Posted by Charlie on 2017-12-08 15:24:50
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