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| Spelling bee results (Posted on 2017-12-08) |
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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.
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No Solution Yet
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Submitted by Ady TZIDON
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Rating: 2.0000 (1 votes)
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computer solution with most of the bonuses
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Comment 1 of 1
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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
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Posted by Charlie
on 2017-12-08 15:24:50 |
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