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 Perplexing Dual Vowels (Posted on 2009-03-13)
The two tables represent two scenarios of the same problem.

All Alphanumeric Values
 Tot V 20 C 92 I U E O O E E A O A C 70 V 15 40 54 37 42 24
Vowels from 1 to 5
 Tot V 6 C 92 I U E O O E E A O A C 70 V 6 37 43 34 36 24

Add ten consonants [orange] to form five 4-letter words vertically of the structure CVVC.

When some vowels are added appropriately [yellow], the orange and yellow cells, when read in a left to right manner form a sentence which has some relevance to the title. Such vowels precede the consonants to which they are vertically paired in the table. Of those vowels only one is duplicated.

In the first table all letters are valued A-Z from 1 to 26. In the second table the vowels have ascending values from 1 to 5.

The green cells represent the column sums of values of all absent letters.

What is the sentence?

On reading cell order of sentence. If the first two vowels occur in the second and fourth yellow cells the sentence would begin CVCCVC.

 See The Solution Submitted by brianjn No Rating

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 A computerized start | Comment 1 of 8

Possible combinations (first letters total 92 and last letters total 70, and the column totals are possible) of 4-letter words are:

`hies sues yeah toon toadlies sues rear wool toadlies sues yeah poon toadlies suet veal soon toadmien rues veal soot toadmien sues neap zoom toadmien sues veal root toadmien suet teak toon toadmien suet team toot toadpier ruer rear toon toadpier rues lear zoom toadpier rues teak rook toadpier rues veal poop toadpier suer neat wool toadpier suer rear soon toadpier suer yeah loop toadpier sues seal rook toadpier suet near wool toadpier suet yeah loon toadpies ruer lear zoom toadpies ruer teak rook toadpies ruer veal poop toadpies rues rear tool toadpies rues yeah moon toadpies suer seal rook toadpies sues near wool toadpies sues yeah loon toadpies suet reap soon toadtier ruer near toon toadtier ruer neat tool toadtier ruer peat rook toadtier ruer ream poor toadtier ruer rear poon toadtier rues hear zoom toadtier rues neat took toadtier rues peas rook toadtier rues reap poop toadtier rues veal loop toadtier suer meal took toadtier suer near soon toadtier suer teal moos toadtier suer team moor toadtier sues teal moor toadtier suet meat toon toadties ruer hear zoom toadties ruer neat took toadties ruer peas rook toadties ruer reap poop toadties ruer veal loop toadties rues near tool toadties rues ream poop toadties rues rear pool toadties suer teal moor toadties sues meat toon toadties suet sear noon toadvier ruer lear toon toadvier ruer leas tool toadvier ruer pear poor toadvier ruer peas pool toadvier ruer rear noon toadvier ruer seam moor toadvier ruer teal loos toadvier rues leas took toadvier rues near room toadvier rues neat rook toadvier rues peal poor toadvier suer heap wool toadvier suer heat wool toadvier suer lear soon toadvier suer meal rook toadvier suer ream moor toadvier suer rear moon toadvier sues sear loop toadvier suet hear wool toadvier suet lean soon toadvier suet leap soon toadvier suet seam loop toad`

Note that certain uncommon words were excluded after looking at some preliminary results. The tested lower limit for the hidden consonant totals was obtained by subtracting 10 from the column totals on the right diagram of the puzzle; for example the consonants of the UE word couldn't exceed 33 as the right hand table shows that with the hidden vowels added, the total is 43, and even if both were U's the consonants would be at least 33.

DEFDBL A-Z

DIM wd\$(5, 40)

OPEN "wordswords4.txt" FOR BINARY AS #1
w\$ = "    "

DO
GET #1, , w\$
IF EOF(1) THEN EXIT DO
IF INSTR("aeiou", LEFT\$(w\$, 1)) = 0 THEN
IF INSTR("aeiou", RIGHT\$(w\$, 1)) = 0 THEN
IF w\$ <> "lier" AND w\$ <> "riel" AND w\$ <> "quey" AND w\$ <> "sook" AND w\$ <> "kier" THEN
IF w\$ <> "toom" AND w\$ <> "zoon" AND w\$ <> "keas" AND w\$ <> "leal" AND w\$ <> "pean" THEN

SELECT CASE MID\$(w\$, 2, 2)
CASE "ie"
t = INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(w\$, 1))
t = t + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(w\$, 1))
IF t <= 40 AND t >= 27 THEN
PRINT w\$: ct(1) = ct(1) + 1: wd\$(1, ct(1)) = w\$
END IF
CASE "ue"
t = INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(w\$, 1))
t = t + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(w\$, 1))
IF t <= 54 AND t >= 33 THEN
PRINT TAB(5); w\$; t: ct(2) = ct(2) + 1: wd\$(2, ct(2)) = w\$
END IF
CASE "ea"
t = INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(w\$, 1))
t = t + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(w\$, 1))
IF t <= 37 AND t >= 24 THEN
PRINT TAB(10); w\$: ct(3) = ct(3) + 1: wd\$(3, ct(3)) = w\$
END IF
CASE "oo"
t = INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(w\$, 1))
t = t + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(w\$, 1))
IF t <= 42 AND t >= 26 THEN
PRINT TAB(15); w\$: ct(4) = ct(4) + 1: wd\$(4, ct(4)) = w\$
END IF
CASE "oa"
t = INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(w\$, 1))
t = t + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(w\$, 1))
IF t = 24 THEN
PRINT TAB(20); w\$; t: ct(5) = ct(5) + 1: wd\$(5, ct(5)) = w\$
END IF
END SELECT
END IF
END IF
END IF
END IF
LOOP
prod = 1
FOR i = 1 TO 5
PRINT ct(i);
prod = prod * ct(i)
NEXT
PRINT : PRINT prod

FOR i1 = 1 TO ct(1)
t1a = INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(wd\$(1, i1), 1))
t1b = INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(wd\$(1, i1), 1))
FOR i2 = 1 TO ct(2)
t2a = t1a + INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(wd\$(2, i2), 1))
t2b = t1b + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(wd\$(2, i2), 1))
FOR i3 = 1 TO ct(3)
t3a = t2a + INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(wd\$(3, i3), 1))
FOR i4 = 1 TO ct(4)
t4a = t3a + INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(wd\$(4, i4), 1))
t4b = t3b + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(wd\$(4, i4), 1))
FOR i5 = 1 TO ct(5)
t5a = t4a + INSTR("abcdefghijklmnopqrstuvwxyz", LEFT\$(wd\$(5, i5), 1))
t5b = t4b + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(wd\$(5, i5), 1))
IF t5a = 92 AND t5b = 70 THEN
PRINT wd\$(1, i1); " "; wd\$(2, i2); " "; wd\$(3, i3); " "; wd\$(4, i4); " "; wd\$(5, i5)
sTot = sTot + 1
IF sTot MOD 40 = 0 THEN DO: LOOP UNTIL INKEY\$ > "": PRINT
END IF
NEXT
NEXT
t3b = t2b + INSTR("abcdefghijklmnopqrstuvwxyz", RIGHT\$(wd\$(3, i3), 1))
NEXT
NEXT
NEXT

PRINT sTot

Edited on March 13, 2009, 1:01 pm
 Posted by Charlie on 2009-03-13 12:59:54

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