Input/Output Problem #2
$begingroup$
See here for basic rules on problem.
Input/Output Problem #1
Problem #2
Make an optimal machine that accepts any letter combination that begins with a consonant and alternates vowel consonant from then on. ("Y" is considered both vowel and consonant)
mathematics
asked Nov 14 '18 at 11:33
Ben FranksBen Franks
50214
$endgroup$
add a comment |
$begingroup$
See here for basic rules on problem.
Input/Output Problem #1
Problem #2
Make an optimal machine that accepts any letter combination that begins with a consonant and alternates vowel consonant from then on. ("Y" is considered both vowel and consonant)
mathematics
asked Nov 14 '18 at 11:33
Ben FranksBen Franks
50214
$endgroup$
$begingroup$
Is mathematics as tag ok? It's more Informatics
$endgroup$
– user52327
Nov 14 '18 at 14:45
add a comment |
$begingroup$
See here for basic rules on problem.
Input/Output Problem #1
Problem #2
Make an optimal machine that accepts any letter combination that begins with a consonant and alternates vowel consonant from then on. ("Y" is considered both vowel and consonant)
mathematics
asked Nov 14 '18 at 11:33
Ben FranksBen Franks
50214
$endgroup$
See here for basic rules on problem.
Input/Output Problem #1
Problem #2
Make an optimal machine that accepts any letter combination that begins with a consonant and alternates vowel consonant from then on. ("Y" is considered both vowel and consonant)
mathematics
mathematics
asked Nov 14 '18 at 11:33
Ben FranksBen Franks
50214
asked Nov 14 '18 at 11:33
Ben FranksBen Franks
50214
edited Nov 14 '18 at 11:53
Ben Franks
asked Nov 14 '18 at 11:33
Ben FranksBen Franks
50214
asked Nov 14 '18 at 11:33
Ben FranksBen Franks
50214
asked Nov 14 '18 at 11:33
Ben FranksBen Franks
50214
50214
$begingroup$
Is mathematics as tag ok? It's more Informatics
$endgroup$
– user52327
Nov 14 '18 at 14:45
add a comment |
$begingroup$
Is mathematics as tag ok? It's more Informatics
$endgroup$
– user52327
Nov 14 '18 at 14:45
$begingroup$
Is mathematics as tag ok? It's more Informatics
$endgroup$
– user52327
Nov 14 '18 at 14:45
$begingroup$
Is mathematics as tag ok? It's more Informatics
$endgroup$
– user52327
Nov 14 '18 at 14:45
add a comment |
8 Answers
8
active
oldest
votes
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This is my answer :)
Vowel: A,E,I,O,U,Y
Consonant: B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z
Original Edits:
...
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$begingroup$
I thought of that too, but can an input/output diagram have two ends?
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– Omega Krypton
Nov 14 '18 at 11:45
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@OmegaKrypton I'm not absolutely sure but I rather think you can have 2 ends :)
$endgroup$
– user52327
Nov 14 '18 at 11:48
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This diagram fails if the string is a single "Y". Should Y be also listed in the consonants? Thanks
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:48
$begingroup$
You don't need a point for fail, you just need a Start and any sequence that doesn't end on a red dotted circle fails. Also yes you can have multiple ends.
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– Ben Franks
Nov 14 '18 at 11:48
7
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It also accepts an empty string, but an empty string does not begin with a consonant.
$endgroup$
– Jaap Scherphuis
Nov 14 '18 at 12:09
|
show 8 more comments
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Can I have:
$oplusxrightarrowconsonantcolorredbulletxrightarrow;;vowel;;colorredbullet$
$qquadqquadquad,midqquadqquadmid$
$qquadqquadquad,xleftarrow;consonant;$
answered Nov 14 '18 at 12:31
JonMark PerryJonMark Perry
20.1k64098
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$begingroup$
Not correct if the sequence ends with a vowel.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:31
$begingroup$
@BenFranks; oh right, so is this any better?
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:35
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it is correct now but can be optimised. Remember the start can be an end.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:38
$begingroup$
like this? I did move the oplus to the last red, but this accepts an empty string, which I feel is cheating
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:41
1
$begingroup$
this is correct :)
$endgroup$
– Ben Franks
Nov 14 '18 at 12:49
add a comment |
$begingroup$
I think it is following since its not specified that if it should end on vowel or consonant.
If the failed state is must,
If it should alternate and end on consonant then:
answered Nov 14 '18 at 11:52
Naeem ShaikhNaeem Shaikh
829410
$endgroup$
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It shall alternate ... this is not correct
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– user52327
Nov 14 '18 at 11:53
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@Jannis I have edited my answer please check
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– Naeem Shaikh
Nov 14 '18 at 11:55
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It shall not end on an consonant ... read the question again
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– user52327
Nov 14 '18 at 11:55
1
$begingroup$
@Jannis where is that in the question?
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:56
$begingroup$
Nowhere stands sth about how to end the chain ...
$endgroup$
– user52327
Nov 14 '18 at 11:57
|
show 2 more comments
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My solution has 5 nodes.
(EDIT: I made it too complicated, and a 3-node solution is possible. I'm leaving this answer as-is, because it works and is interesting.)
Note that the Consonant and Vowel labels in the picture exclude Y, e.g. Vowel means AEIOU only.
It does not accept an empty string.
It accepts a string of Y's.
It accepts a string starting with any even number of Y's only if it is followed by a consonant, but not if it is followed by a vowel.
It accepts a string starting with any odd number of Y's only if it is followed by a vowel, but not if it is followed by a consonant.
The left two nodes of the square deal with any Y prefixes. The right two nodes are used once a non-Y has been seen. I needed the extra starting node in order to disallow an empty string, since the question says the string must begin with a consonant.
answered Nov 14 '18 at 12:01
Jaap ScherphuisJaap Scherphuis
16.2k12772
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add a comment |
$begingroup$
I believe that this is one of the possible solutions:
answered Nov 14 '18 at 11:38
Omega KryptonOmega Krypton
4,7082441
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You don't need points for failed sequences to go to, they can just fail so you can optimise this further. If the sequence cannot go further it is rejected and if it ends not on a red dot it is rejected.
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– Ben Franks
Nov 14 '18 at 11:50
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Also this doesn't allow for strings that end with a consonant so it is incorrect.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
add a comment |
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Pen-and-paper solution... doop de doo.
answered Nov 14 '18 at 11:47
jafejafe
22.4k462224
$endgroup$
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Your solution would accept a sequence that begins with a vowel which breaks one of the requirements.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:53
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@BenFranks Rats, you're right...
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– jafe
Nov 14 '18 at 11:54
add a comment |
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My attempt:
I don't know if the "But not Y" part is neccessary, but here goes
answered Nov 14 '18 at 11:51
newspaperman57newspaperman57
614
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$begingroup$
MS Paint lives on!
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– Skaterhaz
Nov 14 '18 at 14:12
add a comment |
$begingroup$
You can shape it like a triangle. 3 way solution. This assumes what Y is both consonant and vowel, basiclly it cycles between Start and the node O until the rule is broken.
c c
---> --->
Start O Fail
<--- --->
a a
answered Nov 14 '18 at 15:36
jeyejowjeyejow
18411
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add a comment |
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8 Answers
8
active
oldest
votes
8 Answers
8
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
This is my answer :)
Vowel: A,E,I,O,U,Y
Consonant: B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z
Original Edits:
...
$endgroup$
$begingroup$
I thought of that too, but can an input/output diagram have two ends?
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:45
$begingroup$
@OmegaKrypton I'm not absolutely sure but I rather think you can have 2 ends :)
$endgroup$
– user52327
Nov 14 '18 at 11:48
$begingroup$
This diagram fails if the string is a single "Y". Should Y be also listed in the consonants? Thanks
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:48
$begingroup$
You don't need a point for fail, you just need a Start and any sequence that doesn't end on a red dotted circle fails. Also yes you can have multiple ends.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:48
7
$begingroup$
It also accepts an empty string, but an empty string does not begin with a consonant.
$endgroup$
– Jaap Scherphuis
Nov 14 '18 at 12:09
|
show 8 more comments
$begingroup$
This is my answer :)
Vowel: A,E,I,O,U,Y
Consonant: B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z
Original Edits:
...
$endgroup$
$begingroup$
I thought of that too, but can an input/output diagram have two ends?
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:45
$begingroup$
@OmegaKrypton I'm not absolutely sure but I rather think you can have 2 ends :)
$endgroup$
– user52327
Nov 14 '18 at 11:48
$begingroup$
This diagram fails if the string is a single "Y". Should Y be also listed in the consonants? Thanks
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:48
$begingroup$
You don't need a point for fail, you just need a Start and any sequence that doesn't end on a red dotted circle fails. Also yes you can have multiple ends.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:48
7
$begingroup$
It also accepts an empty string, but an empty string does not begin with a consonant.
$endgroup$
– Jaap Scherphuis
Nov 14 '18 at 12:09
|
show 8 more comments
$begingroup$
This is my answer :)
Vowel: A,E,I,O,U,Y
Consonant: B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z
Original Edits:
...
$endgroup$
This is my answer :)
Vowel: A,E,I,O,U,Y
Consonant: B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z
Original Edits:
...
edited Nov 14 '18 at 13:20
answered Nov 14 '18 at 11:44
user52327
$begingroup$
I thought of that too, but can an input/output diagram have two ends?
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:45
$begingroup$
@OmegaKrypton I'm not absolutely sure but I rather think you can have 2 ends :)
$endgroup$
– user52327
Nov 14 '18 at 11:48
$begingroup$
This diagram fails if the string is a single "Y". Should Y be also listed in the consonants? Thanks
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:48
$begingroup$
You don't need a point for fail, you just need a Start and any sequence that doesn't end on a red dotted circle fails. Also yes you can have multiple ends.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:48
7
$begingroup$
It also accepts an empty string, but an empty string does not begin with a consonant.
$endgroup$
– Jaap Scherphuis
Nov 14 '18 at 12:09
|
show 8 more comments
$begingroup$
I thought of that too, but can an input/output diagram have two ends?
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:45
$begingroup$
@OmegaKrypton I'm not absolutely sure but I rather think you can have 2 ends :)
$endgroup$
– user52327
Nov 14 '18 at 11:48
$begingroup$
This diagram fails if the string is a single "Y". Should Y be also listed in the consonants? Thanks
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:48
$begingroup$
You don't need a point for fail, you just need a Start and any sequence that doesn't end on a red dotted circle fails. Also yes you can have multiple ends.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:48
7
$begingroup$
It also accepts an empty string, but an empty string does not begin with a consonant.
$endgroup$
– Jaap Scherphuis
Nov 14 '18 at 12:09
$begingroup$
I thought of that too, but can an input/output diagram have two ends?
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:45
$begingroup$
I thought of that too, but can an input/output diagram have two ends?
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:45
$begingroup$
@OmegaKrypton I'm not absolutely sure but I rather think you can have 2 ends :)
$endgroup$
– user52327
Nov 14 '18 at 11:48
$begingroup$
@OmegaKrypton I'm not absolutely sure but I rather think you can have 2 ends :)
$endgroup$
– user52327
Nov 14 '18 at 11:48
$begingroup$
This diagram fails if the string is a single "Y". Should Y be also listed in the consonants? Thanks
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:48
$begingroup$
This diagram fails if the string is a single "Y". Should Y be also listed in the consonants? Thanks
$endgroup$
– Omega Krypton
Nov 14 '18 at 11:48
$begingroup$
You don't need a point for fail, you just need a Start and any sequence that doesn't end on a red dotted circle fails. Also yes you can have multiple ends.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:48
$begingroup$
You don't need a point for fail, you just need a Start and any sequence that doesn't end on a red dotted circle fails. Also yes you can have multiple ends.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:48
7
7
$begingroup$
It also accepts an empty string, but an empty string does not begin with a consonant.
$endgroup$
– Jaap Scherphuis
Nov 14 '18 at 12:09
$begingroup$
It also accepts an empty string, but an empty string does not begin with a consonant.
$endgroup$
– Jaap Scherphuis
Nov 14 '18 at 12:09
|
show 8 more comments
$begingroup$
Can I have:
$oplusxrightarrowconsonantcolorredbulletxrightarrow;;vowel;;colorredbullet$
$qquadqquadquad,midqquadqquadmid$
$qquadqquadquad,xleftarrow;consonant;$
answered Nov 14 '18 at 12:31
JonMark PerryJonMark Perry
20.1k64098
$endgroup$
$begingroup$
Not correct if the sequence ends with a vowel.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:31
$begingroup$
@BenFranks; oh right, so is this any better?
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:35
$begingroup$
it is correct now but can be optimised. Remember the start can be an end.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:38
$begingroup$
like this? I did move the oplus to the last red, but this accepts an empty string, which I feel is cheating
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:41
1
$begingroup$
this is correct :)
$endgroup$
– Ben Franks
Nov 14 '18 at 12:49
add a comment |
$begingroup$
Can I have:
$oplusxrightarrowconsonantcolorredbulletxrightarrow;;vowel;;colorredbullet$
$qquadqquadquad,midqquadqquadmid$
$qquadqquadquad,xleftarrow;consonant;$
answered Nov 14 '18 at 12:31
JonMark PerryJonMark Perry
20.1k64098
$endgroup$
$begingroup$
Not correct if the sequence ends with a vowel.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:31
$begingroup$
@BenFranks; oh right, so is this any better?
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:35
$begingroup$
it is correct now but can be optimised. Remember the start can be an end.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:38
$begingroup$
like this? I did move the oplus to the last red, but this accepts an empty string, which I feel is cheating
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:41
1
$begingroup$
this is correct :)
$endgroup$
– Ben Franks
Nov 14 '18 at 12:49
add a comment |
$begingroup$
Can I have:
$oplusxrightarrowconsonantcolorredbulletxrightarrow;;vowel;;colorredbullet$
$qquadqquadquad,midqquadqquadmid$
$qquadqquadquad,xleftarrow;consonant;$
answered Nov 14 '18 at 12:31
JonMark PerryJonMark Perry
20.1k64098
$endgroup$
Can I have:
$oplusxrightarrowconsonantcolorredbulletxrightarrow;;vowel;;colorredbullet$
$qquadqquadquad,midqquadqquadmid$
$qquadqquadquad,xleftarrow;consonant;$
answered Nov 14 '18 at 12:31
JonMark PerryJonMark Perry
20.1k64098
edited Nov 14 '18 at 12:39
answered Nov 14 '18 at 12:31
JonMark PerryJonMark Perry
20.1k64098
answered Nov 14 '18 at 12:31
JonMark PerryJonMark Perry
20.1k64098
answered Nov 14 '18 at 12:31
JonMark PerryJonMark Perry
20.1k64098
20.1k64098
$begingroup$
Not correct if the sequence ends with a vowel.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:31
$begingroup$
@BenFranks; oh right, so is this any better?
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:35
$begingroup$
it is correct now but can be optimised. Remember the start can be an end.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:38
$begingroup$
like this? I did move the oplus to the last red, but this accepts an empty string, which I feel is cheating
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:41
1
$begingroup$
this is correct :)
$endgroup$
– Ben Franks
Nov 14 '18 at 12:49
add a comment |
$begingroup$
Not correct if the sequence ends with a vowel.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:31
$begingroup$
@BenFranks; oh right, so is this any better?
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:35
$begingroup$
it is correct now but can be optimised. Remember the start can be an end.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:38
$begingroup$
like this? I did move the oplus to the last red, but this accepts an empty string, which I feel is cheating
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:41
1
$begingroup$
this is correct :)
$endgroup$
– Ben Franks
Nov 14 '18 at 12:49
$begingroup$
Not correct if the sequence ends with a vowel.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:31
$begingroup$
Not correct if the sequence ends with a vowel.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:31
$begingroup$
@BenFranks; oh right, so is this any better?
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:35
$begingroup$
@BenFranks; oh right, so is this any better?
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:35
$begingroup$
it is correct now but can be optimised. Remember the start can be an end.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:38
$begingroup$
it is correct now but can be optimised. Remember the start can be an end.
$endgroup$
– Ben Franks
Nov 14 '18 at 12:38
$begingroup$
like this? I did move the oplus to the last red, but this accepts an empty string, which I feel is cheating
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:41
$begingroup$
like this? I did move the oplus to the last red, but this accepts an empty string, which I feel is cheating
$endgroup$
– JonMark Perry
Nov 14 '18 at 12:41
1
1
$begingroup$
this is correct :)
$endgroup$
– Ben Franks
Nov 14 '18 at 12:49
$begingroup$
this is correct :)
$endgroup$
– Ben Franks
Nov 14 '18 at 12:49
add a comment |
$begingroup$
I think it is following since its not specified that if it should end on vowel or consonant.
If the failed state is must,
If it should alternate and end on consonant then:
answered Nov 14 '18 at 11:52
Naeem ShaikhNaeem Shaikh
829410
$endgroup$
$begingroup$
It shall alternate ... this is not correct
$endgroup$
– user52327
Nov 14 '18 at 11:53
$begingroup$
@Jannis I have edited my answer please check
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:55
$begingroup$
It shall not end on an consonant ... read the question again
$endgroup$
– user52327
Nov 14 '18 at 11:55
1
$begingroup$
@Jannis where is that in the question?
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:56
$begingroup$
Nowhere stands sth about how to end the chain ...
$endgroup$
– user52327
Nov 14 '18 at 11:57
|
show 2 more comments
$begingroup$
I think it is following since its not specified that if it should end on vowel or consonant.
If the failed state is must,
If it should alternate and end on consonant then:
answered Nov 14 '18 at 11:52
Naeem ShaikhNaeem Shaikh
829410
$endgroup$
$begingroup$
It shall alternate ... this is not correct
$endgroup$
– user52327
Nov 14 '18 at 11:53
$begingroup$
@Jannis I have edited my answer please check
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:55
$begingroup$
It shall not end on an consonant ... read the question again
$endgroup$
– user52327
Nov 14 '18 at 11:55
1
$begingroup$
@Jannis where is that in the question?
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:56
$begingroup$
Nowhere stands sth about how to end the chain ...
$endgroup$
– user52327
Nov 14 '18 at 11:57
|
show 2 more comments
$begingroup$
I think it is following since its not specified that if it should end on vowel or consonant.
If the failed state is must,
If it should alternate and end on consonant then:
answered Nov 14 '18 at 11:52
Naeem ShaikhNaeem Shaikh
829410
$endgroup$
I think it is following since its not specified that if it should end on vowel or consonant.
If the failed state is must,
If it should alternate and end on consonant then:
answered Nov 14 '18 at 11:52
Naeem ShaikhNaeem Shaikh
829410
edited Nov 14 '18 at 12:00
answered Nov 14 '18 at 11:52
Naeem ShaikhNaeem Shaikh
829410
answered Nov 14 '18 at 11:52
Naeem ShaikhNaeem Shaikh
829410
answered Nov 14 '18 at 11:52
Naeem ShaikhNaeem Shaikh
829410
829410
$begingroup$
It shall alternate ... this is not correct
$endgroup$
– user52327
Nov 14 '18 at 11:53
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@Jannis I have edited my answer please check
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– Naeem Shaikh
Nov 14 '18 at 11:55
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It shall not end on an consonant ... read the question again
$endgroup$
– user52327
Nov 14 '18 at 11:55
1
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@Jannis where is that in the question?
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:56
$begingroup$
Nowhere stands sth about how to end the chain ...
$endgroup$
– user52327
Nov 14 '18 at 11:57
|
show 2 more comments
$begingroup$
It shall alternate ... this is not correct
$endgroup$
– user52327
Nov 14 '18 at 11:53
$begingroup$
@Jannis I have edited my answer please check
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:55
$begingroup$
It shall not end on an consonant ... read the question again
$endgroup$
– user52327
Nov 14 '18 at 11:55
1
$begingroup$
@Jannis where is that in the question?
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:56
$begingroup$
Nowhere stands sth about how to end the chain ...
$endgroup$
– user52327
Nov 14 '18 at 11:57
$begingroup$
It shall alternate ... this is not correct
$endgroup$
– user52327
Nov 14 '18 at 11:53
$begingroup$
It shall alternate ... this is not correct
$endgroup$
– user52327
Nov 14 '18 at 11:53
$begingroup$
@Jannis I have edited my answer please check
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:55
$begingroup$
@Jannis I have edited my answer please check
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:55
$begingroup$
It shall not end on an consonant ... read the question again
$endgroup$
– user52327
Nov 14 '18 at 11:55
$begingroup$
It shall not end on an consonant ... read the question again
$endgroup$
– user52327
Nov 14 '18 at 11:55
1
1
$begingroup$
@Jannis where is that in the question?
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:56
$begingroup$
@Jannis where is that in the question?
$endgroup$
– Naeem Shaikh
Nov 14 '18 at 11:56
$begingroup$
Nowhere stands sth about how to end the chain ...
$endgroup$
– user52327
Nov 14 '18 at 11:57
$begingroup$
Nowhere stands sth about how to end the chain ...
$endgroup$
– user52327
Nov 14 '18 at 11:57
|
show 2 more comments
$begingroup$
My solution has 5 nodes.
(EDIT: I made it too complicated, and a 3-node solution is possible. I'm leaving this answer as-is, because it works and is interesting.)
Note that the Consonant and Vowel labels in the picture exclude Y, e.g. Vowel means AEIOU only.
It does not accept an empty string.
It accepts a string of Y's.
It accepts a string starting with any even number of Y's only if it is followed by a consonant, but not if it is followed by a vowel.
It accepts a string starting with any odd number of Y's only if it is followed by a vowel, but not if it is followed by a consonant.
The left two nodes of the square deal with any Y prefixes. The right two nodes are used once a non-Y has been seen. I needed the extra starting node in order to disallow an empty string, since the question says the string must begin with a consonant.
answered Nov 14 '18 at 12:01
Jaap ScherphuisJaap Scherphuis
16.2k12772
$endgroup$
add a comment |
$begingroup$
My solution has 5 nodes.
(EDIT: I made it too complicated, and a 3-node solution is possible. I'm leaving this answer as-is, because it works and is interesting.)
Note that the Consonant and Vowel labels in the picture exclude Y, e.g. Vowel means AEIOU only.
It does not accept an empty string.
It accepts a string of Y's.
It accepts a string starting with any even number of Y's only if it is followed by a consonant, but not if it is followed by a vowel.
It accepts a string starting with any odd number of Y's only if it is followed by a vowel, but not if it is followed by a consonant.
The left two nodes of the square deal with any Y prefixes. The right two nodes are used once a non-Y has been seen. I needed the extra starting node in order to disallow an empty string, since the question says the string must begin with a consonant.
answered Nov 14 '18 at 12:01
Jaap ScherphuisJaap Scherphuis
16.2k12772
$endgroup$
add a comment |
$begingroup$
My solution has 5 nodes.
(EDIT: I made it too complicated, and a 3-node solution is possible. I'm leaving this answer as-is, because it works and is interesting.)
Note that the Consonant and Vowel labels in the picture exclude Y, e.g. Vowel means AEIOU only.
It does not accept an empty string.
It accepts a string of Y's.
It accepts a string starting with any even number of Y's only if it is followed by a consonant, but not if it is followed by a vowel.
It accepts a string starting with any odd number of Y's only if it is followed by a vowel, but not if it is followed by a consonant.
The left two nodes of the square deal with any Y prefixes. The right two nodes are used once a non-Y has been seen. I needed the extra starting node in order to disallow an empty string, since the question says the string must begin with a consonant.
answered Nov 14 '18 at 12:01
Jaap ScherphuisJaap Scherphuis
16.2k12772
$endgroup$
My solution has 5 nodes.
(EDIT: I made it too complicated, and a 3-node solution is possible. I'm leaving this answer as-is, because it works and is interesting.)
Note that the Consonant and Vowel labels in the picture exclude Y, e.g. Vowel means AEIOU only.
It does not accept an empty string.
It accepts a string of Y's.
It accepts a string starting with any even number of Y's only if it is followed by a consonant, but not if it is followed by a vowel.
It accepts a string starting with any odd number of Y's only if it is followed by a vowel, but not if it is followed by a consonant.
The left two nodes of the square deal with any Y prefixes. The right two nodes are used once a non-Y has been seen. I needed the extra starting node in order to disallow an empty string, since the question says the string must begin with a consonant.
answered Nov 14 '18 at 12:01
Jaap ScherphuisJaap Scherphuis
16.2k12772
edited Nov 14 '18 at 12:42
answered Nov 14 '18 at 12:01
Jaap ScherphuisJaap Scherphuis
16.2k12772
answered Nov 14 '18 at 12:01
Jaap ScherphuisJaap Scherphuis
16.2k12772
answered Nov 14 '18 at 12:01
Jaap ScherphuisJaap Scherphuis
16.2k12772
16.2k12772
add a comment |
add a comment |
$begingroup$
I believe that this is one of the possible solutions:
answered Nov 14 '18 at 11:38
Omega KryptonOmega Krypton
4,7082441
$endgroup$
$begingroup$
You don't need points for failed sequences to go to, they can just fail so you can optimise this further. If the sequence cannot go further it is rejected and if it ends not on a red dot it is rejected.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
$begingroup$
Also this doesn't allow for strings that end with a consonant so it is incorrect.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
add a comment |
$begingroup$
I believe that this is one of the possible solutions:
answered Nov 14 '18 at 11:38
Omega KryptonOmega Krypton
4,7082441
$endgroup$
$begingroup$
You don't need points for failed sequences to go to, they can just fail so you can optimise this further. If the sequence cannot go further it is rejected and if it ends not on a red dot it is rejected.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
$begingroup$
Also this doesn't allow for strings that end with a consonant so it is incorrect.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
add a comment |
$begingroup$
I believe that this is one of the possible solutions:
answered Nov 14 '18 at 11:38
Omega KryptonOmega Krypton
4,7082441
$endgroup$
I believe that this is one of the possible solutions:
answered Nov 14 '18 at 11:38
Omega KryptonOmega Krypton
4,7082441
answered Nov 14 '18 at 11:38
Omega KryptonOmega Krypton
4,7082441
answered Nov 14 '18 at 11:38
Omega KryptonOmega Krypton
4,7082441
answered Nov 14 '18 at 11:38
Omega KryptonOmega Krypton
4,7082441
4,7082441
$begingroup$
You don't need points for failed sequences to go to, they can just fail so you can optimise this further. If the sequence cannot go further it is rejected and if it ends not on a red dot it is rejected.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
$begingroup$
Also this doesn't allow for strings that end with a consonant so it is incorrect.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
add a comment |
$begingroup$
You don't need points for failed sequences to go to, they can just fail so you can optimise this further. If the sequence cannot go further it is rejected and if it ends not on a red dot it is rejected.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
$begingroup$
Also this doesn't allow for strings that end with a consonant so it is incorrect.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
$begingroup$
You don't need points for failed sequences to go to, they can just fail so you can optimise this further. If the sequence cannot go further it is rejected and if it ends not on a red dot it is rejected.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
$begingroup$
You don't need points for failed sequences to go to, they can just fail so you can optimise this further. If the sequence cannot go further it is rejected and if it ends not on a red dot it is rejected.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
$begingroup$
Also this doesn't allow for strings that end with a consonant so it is incorrect.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
$begingroup$
Also this doesn't allow for strings that end with a consonant so it is incorrect.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:50
add a comment |
$begingroup$
Pen-and-paper solution... doop de doo.
answered Nov 14 '18 at 11:47
jafejafe
22.4k462224
$endgroup$
$begingroup$
Your solution would accept a sequence that begins with a vowel which breaks one of the requirements.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:53
$begingroup$
@BenFranks Rats, you're right...
$endgroup$
– jafe
Nov 14 '18 at 11:54
add a comment |
$begingroup$
Pen-and-paper solution... doop de doo.
answered Nov 14 '18 at 11:47
jafejafe
22.4k462224
$endgroup$
$begingroup$
Your solution would accept a sequence that begins with a vowel which breaks one of the requirements.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:53
$begingroup$
@BenFranks Rats, you're right...
$endgroup$
– jafe
Nov 14 '18 at 11:54
add a comment |
$begingroup$
Pen-and-paper solution... doop de doo.
answered Nov 14 '18 at 11:47
jafejafe
22.4k462224
$endgroup$
Pen-and-paper solution... doop de doo.
answered Nov 14 '18 at 11:47
jafejafe
22.4k462224
answered Nov 14 '18 at 11:47
jafejafe
22.4k462224
answered Nov 14 '18 at 11:47
jafejafe
22.4k462224
answered Nov 14 '18 at 11:47
jafejafe
22.4k462224
22.4k462224
$begingroup$
Your solution would accept a sequence that begins with a vowel which breaks one of the requirements.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:53
$begingroup$
@BenFranks Rats, you're right...
$endgroup$
– jafe
Nov 14 '18 at 11:54
add a comment |
$begingroup$
Your solution would accept a sequence that begins with a vowel which breaks one of the requirements.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:53
$begingroup$
@BenFranks Rats, you're right...
$endgroup$
– jafe
Nov 14 '18 at 11:54
$begingroup$
Your solution would accept a sequence that begins with a vowel which breaks one of the requirements.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:53
$begingroup$
Your solution would accept a sequence that begins with a vowel which breaks one of the requirements.
$endgroup$
– Ben Franks
Nov 14 '18 at 11:53
$begingroup$
@BenFranks Rats, you're right...
$endgroup$
– jafe
Nov 14 '18 at 11:54
$begingroup$
@BenFranks Rats, you're right...
$endgroup$
– jafe
Nov 14 '18 at 11:54
add a comment |
$begingroup$
My attempt:
I don't know if the "But not Y" part is neccessary, but here goes
answered Nov 14 '18 at 11:51
newspaperman57newspaperman57
614
$endgroup$
$begingroup$
MS Paint lives on!
$endgroup$
– Skaterhaz
Nov 14 '18 at 14:12
add a comment |
$begingroup$
My attempt:
I don't know if the "But not Y" part is neccessary, but here goes
answered Nov 14 '18 at 11:51
newspaperman57newspaperman57
614
$endgroup$
$begingroup$
MS Paint lives on!
$endgroup$
– Skaterhaz
Nov 14 '18 at 14:12
add a comment |
$begingroup$
My attempt:
I don't know if the "But not Y" part is neccessary, but here goes
answered Nov 14 '18 at 11:51
newspaperman57newspaperman57
614
$endgroup$
My attempt:
I don't know if the "But not Y" part is neccessary, but here goes
answered Nov 14 '18 at 11:51
newspaperman57newspaperman57
614
answered Nov 14 '18 at 11:51
newspaperman57newspaperman57
614
answered Nov 14 '18 at 11:51
newspaperman57newspaperman57
614
answered Nov 14 '18 at 11:51
newspaperman57newspaperman57
614
614
$begingroup$
MS Paint lives on!
$endgroup$
– Skaterhaz
Nov 14 '18 at 14:12
add a comment |
$begingroup$
MS Paint lives on!
$endgroup$
– Skaterhaz
Nov 14 '18 at 14:12
$begingroup$
MS Paint lives on!
$endgroup$
– Skaterhaz
Nov 14 '18 at 14:12
$begingroup$
MS Paint lives on!
$endgroup$
– Skaterhaz
Nov 14 '18 at 14:12
add a comment |
$begingroup$
You can shape it like a triangle. 3 way solution. This assumes what Y is both consonant and vowel, basiclly it cycles between Start and the node O until the rule is broken.
c c
---> --->
Start O Fail
<--- --->
a a
answered Nov 14 '18 at 15:36
jeyejowjeyejow
18411
$endgroup$
add a comment |
$begingroup$
You can shape it like a triangle. 3 way solution. This assumes what Y is both consonant and vowel, basiclly it cycles between Start and the node O until the rule is broken.
c c
---> --->
Start O Fail
<--- --->
a a
answered Nov 14 '18 at 15:36
jeyejowjeyejow
18411
$endgroup$
add a comment |
$begingroup$
You can shape it like a triangle. 3 way solution. This assumes what Y is both consonant and vowel, basiclly it cycles between Start and the node O until the rule is broken.
c c
---> --->
Start O Fail
<--- --->
a a
answered Nov 14 '18 at 15:36
jeyejowjeyejow
18411
$endgroup$
You can shape it like a triangle. 3 way solution. This assumes what Y is both consonant and vowel, basiclly it cycles between Start and the node O until the rule is broken.
c c
---> --->
Start O Fail
<--- --->
a a
answered Nov 14 '18 at 15:36
jeyejowjeyejow
18411
answered Nov 14 '18 at 15:36
jeyejowjeyejow
18411
answered Nov 14 '18 at 15:36
jeyejowjeyejow
18411
answered Nov 14 '18 at 15:36
jeyejowjeyejow
18411
18411
add a comment |
add a comment |
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$begingroup$
Is mathematics as tag ok? It's more Informatics
$endgroup$
– user52327
Nov 14 '18 at 14:45