## 10788 - Parenthesizing Palindromes

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w k
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### 10788 - Parenthesizing Palindromes

Hi,

The problem description says that the expression ``abbaddcc" has only one interpretation: ``(ab ba) (d d) (c c)". Is it true?
(a(bb)a)(dd)(cc) ?

Wojciech

misof
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### Re: 10788

w k wrote:Hi,

The problem description says that the expression ``abbaddcc" has only one interpretation: ``(ab ba) (d d) (c c)". Is it true?
(a(bb)a)(dd)(cc) ?

Wojciech
In this problem, these two interpretations are considered to be the same. The problem statement is a little bit vague on what "interpretations" do we consider.

I offer my definition: for a string, an interpretation is a well-formed string of parenthesis of the same length, such that for each pair of parenthesis the corresponding two letters of the string are the same.

E.g. the string abbaddcc has only one interpretation:

Code: Select all

``````abbaddcc
(())()()
``````

w k
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Hi,

I believe Your definition is correct.
If yes - they should change the problem description according to Your definition, I think.

Wojciech

misof
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Yes, my code is AC. But I think that my explanation gives away a little bit more than the author intended -- in other words, it pushes you in the right direction of thinking. And anyway, nobody has got the time to fix the problem statement. There are far worse problem statements out there that have to be fixed. And for minor details there is exactly this board.

kmhasan
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Hmm... I admit that the statement is not that clear. Md Kamruzzaman, the author of the alternate solution for this problem, had pointed out this anomaly with the statement before it was used for the contest. But I was reluctant to make any change. Misof is right, if I were too specific then it would have given away much of the problem. It was not my intent.

I think I did mention these things in the form of an example in the problem statement. It worked fine for many. But that doesn't certify the problem statement to be clear. I am aware of that.

However, I am still against changing the problem statement. I hope the sufferers would take it lightly.

Krzysztof Duleba
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Hi

I wonder if there are blank lines in the input? What is the expected output for those cases:
14
aaabba
aabb
bbababba

aabbaabbaabbaabbaabbaabbaabbaabbaabbaabbaabbaabbaabbaabbaabbaabb
abcdefgabcdefg
accffbbaccxxpqqrrp
aa
a
aba
abba
dddddddddddddddddddd
ddddddddddddddddddddd
Is this right?
Case 1: Valid, Multiple
Case 2: Valid, Unique
Case 3: Invalid
Case 4: Valid, Unique
Case 5: Valid, Multiple
Case 6: Invalid
Case 7: Valid, Unique
Case 8: Valid, Unique
Case 9: Valid, Unique
Case 10: Invalid
Case 11: Invalid
Case 12: Valid, Multiple
Case 13: Valid, Multiple
Case 14: Invalid

Cho
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There is no empty string in the input because I use scanf("%s", s) and got AC.
And the output of your case 12(abba) should be "Valid, Unique".

Krzysztof Duleba
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How could it be that abba has only one interpretation? Can't we write it as (ab ba) or (a (b b) a)?

misof
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Krzysztof Duleba wrote:How could it be that abba has only one interpretation? Can't we write it as (ab ba) or (a (b b) a)?

Krzysztof Duleba
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Yes, that should be helpful. Somehow I didn't notice your previous post - sorry.

Niaz
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### Can any one give me any Critical test case ?

Can any one give me any Critical test case ?
I am trying to solve this problem and getting WA again and again. I may miss some thing from the problem. Please give me some input and output so that I can fix my BUG

Please join The ACM Solver Group at Yahoo
http://groups.yahoo.com/group/acm_solver/

sq
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Hi, are there any more test cases? I've tried the sample input and the test cases in this thread, but still can't get it accepted.

shamim
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Hi, try these important cases:
2
abckkkkkcba
abbkkbba
Case 1: Valid, Multiple
Case 2: Valid, Multiple

stubbscroll
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Try this case, I used it to debug my program:

Code: Select all

``````1
abaaba``````

Code: Select all

``Case 1: Valid, Unique``

sq
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shamim wrote:Hi, try these important cases:
2
abckkkkkcba
abbkkbba