Time complexity of CYK algorithm [closed]












-1












$begingroup$


I need to know time complexity of CYK algorithm, and i got this sum:



$sum_{i=2}^n sum_{j=1}^{n-i+1} sum_{k=1}^{i-1} 1$



I'd like to calculate this sum , step by step, i know there is O($n^3$) time complexity but i don't know how to calculate it.










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closed as off-topic by GNUSupporter 8964民主女神 地下教會, KReiser, Shailesh, Leucippus, mrtaurho Jan 8 at 6:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – GNUSupporter 8964民主女神 地下教會, KReiser, Shailesh, Leucippus, mrtaurho

If this question can be reworded to fit the rules in the help center, please edit the question.













  • $begingroup$
    Is that supposed to be a sum from $k = 1$ to $mathbf{j}-1$?
    $endgroup$
    – eyeballfrog
    Jan 7 at 23:07
















-1












$begingroup$


I need to know time complexity of CYK algorithm, and i got this sum:



$sum_{i=2}^n sum_{j=1}^{n-i+1} sum_{k=1}^{i-1} 1$



I'd like to calculate this sum , step by step, i know there is O($n^3$) time complexity but i don't know how to calculate it.










share|cite|improve this question









New contributor




Sailer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$



closed as off-topic by GNUSupporter 8964民主女神 地下教會, KReiser, Shailesh, Leucippus, mrtaurho Jan 8 at 6:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – GNUSupporter 8964民主女神 地下教會, KReiser, Shailesh, Leucippus, mrtaurho

If this question can be reworded to fit the rules in the help center, please edit the question.













  • $begingroup$
    Is that supposed to be a sum from $k = 1$ to $mathbf{j}-1$?
    $endgroup$
    – eyeballfrog
    Jan 7 at 23:07














-1












-1








-1





$begingroup$


I need to know time complexity of CYK algorithm, and i got this sum:



$sum_{i=2}^n sum_{j=1}^{n-i+1} sum_{k=1}^{i-1} 1$



I'd like to calculate this sum , step by step, i know there is O($n^3$) time complexity but i don't know how to calculate it.










share|cite|improve this question









New contributor




Sailer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




I need to know time complexity of CYK algorithm, and i got this sum:



$sum_{i=2}^n sum_{j=1}^{n-i+1} sum_{k=1}^{i-1} 1$



I'd like to calculate this sum , step by step, i know there is O($n^3$) time complexity but i don't know how to calculate it.







computational-complexity






share|cite|improve this question









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Sailer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









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Sailer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited Jan 7 at 19:26







Sailer













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asked Jan 7 at 19:17









SailerSailer

11




11




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New contributor





Sailer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Sailer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




closed as off-topic by GNUSupporter 8964民主女神 地下教會, KReiser, Shailesh, Leucippus, mrtaurho Jan 8 at 6:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – GNUSupporter 8964民主女神 地下教會, KReiser, Shailesh, Leucippus, mrtaurho

If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by GNUSupporter 8964民主女神 地下教會, KReiser, Shailesh, Leucippus, mrtaurho Jan 8 at 6:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – GNUSupporter 8964民主女神 地下教會, KReiser, Shailesh, Leucippus, mrtaurho

If this question can be reworded to fit the rules in the help center, please edit the question.












  • $begingroup$
    Is that supposed to be a sum from $k = 1$ to $mathbf{j}-1$?
    $endgroup$
    – eyeballfrog
    Jan 7 at 23:07


















  • $begingroup$
    Is that supposed to be a sum from $k = 1$ to $mathbf{j}-1$?
    $endgroup$
    – eyeballfrog
    Jan 7 at 23:07
















$begingroup$
Is that supposed to be a sum from $k = 1$ to $mathbf{j}-1$?
$endgroup$
– eyeballfrog
Jan 7 at 23:07




$begingroup$
Is that supposed to be a sum from $k = 1$ to $mathbf{j}-1$?
$endgroup$
– eyeballfrog
Jan 7 at 23:07










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