 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  Consecutive Cuts (Posted on 2013-04-30) The following was originally a list of five-letter words, but in each case two consecutive letters (though never the first two) have been removed. The 26 missing letters are all different. What was the original list?
```A N T
A S S
B A Y
C O Y
D I M
E E L
F A R
M A R
P I E
S E E
T I E
T O P
W I N```

 No Solution Yet Submitted by K Sengupta No Rating Comments: ( Back to comment list | You must be logged in to post comments.) computer solution | Comment 1 of 6

DECLARE SUB build (n!)
CLEAR , , 25000
CLS
DATA ant,ass,bay,coy,dim,eel,far,mar,pie,see,tie,top,win
DIM SHARED wd3(13) AS STRING
DIM SHARED letct(13)
DIM SHARED extlet(13, 40) AS STRING, h AS STRING, histNo(13), orig(13, 40) AS STRING
FOR i = 1 TO 13: READ wd3(i): NEXT

OPEN "\words\words5.txt" FOR BINARY AS #1
w\$ = SPACE\$(5)
DO
GET #1, , w\$
IF EOF(1) THEN EXIT DO
w1\$ = LEFT\$(w\$, 1) + MID\$(w\$, 4)
w2\$ = LEFT\$(w\$, 2) + MID\$(w\$, 5)
w3\$ = LEFT\$(w\$, 3)
FOR i = 1 TO 13
IF w1\$ = wd3(i) THEN
letct(i) = letct(i) + 1
extlet(i, letct(i)) = MID\$(w\$, 2, 2)
orig(i, letct(i)) = w\$
END IF
IF w2\$ = wd3(i) THEN
letct(i) = letct(i) + 1
extlet(i, letct(i)) = MID\$(w\$, 3, 2)
orig(i, letct(i)) = w\$
END IF
IF w3\$ = wd3(i) THEN
letct(i) = letct(i) + 1
extlet(i, letct(i)) = MID\$(w\$, 4, 2)
orig(i, letct(i)) = w\$
END IF
NEXT
LOOP
CLOSE
FOR i = 1 TO 13: PRINT letct(i); : NEXT: PRINT
PRINT

build 1

SUB build (n)
FOR i = 1 TO letct(n)
s\$ = extlet(n, i)
IF LEFT\$(s\$, 1) <> RIGHT\$(s\$, 1) THEN
good = 1
FOR j = 1 TO 2
IF INSTR(h, MID\$(s\$, j, 1)) > 0 THEN good = 0
NEXT
ELSE
good = 0
END IF
IF good THEN
h = h + s\$: histNo(n) = i

IF LEN(h) = 26 THEN
FOR j = 1 TO 13
PRINT orig(j, histNo(j)) + " ";
NEXT
PRINT
FOR j = 1 TO 25 STEP 2
PRINT MID\$(h, j, 2) + "    ";
NEXT
PRINT : PRINT
ELSE
build n + 1
END IF

h = LEFT\$(h, LEN(h) - 2)
END IF
NEXT
END SUB

first shows the number of possible possible letter pairs that could be used in combination with the given words, in order:

16  13  21  23  4  3  23  26  10  25  8  13  16

Then, the possible answers, with the inserted letter pair shown below each 5-letter word:

`angst abyss bawdy comfy denim expel fakir major pique serve title topaz winchgs    by    wd    mf    en    xp    ki    jo    qu    rv    tl    az    ch`
`angst abyss bawty comfy denim expel fakir major pique serve tilde topaz winchgs    by    wt    mf    en    xp    ki    jo    qu    rv    ld    az    ch`

 Posted by Charlie on 2013-04-30 16:09:22 Please log in:

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