Longest Increasing Subsequence MCQ

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• In the brute force implementation to find the longest increasing subsequence, all the subsequences of a given sequence are found. All the increasing subsequences are then selected and the length of the longest subsequence is found. What is the time complexity of this brute force implementation?
  ক

  O(n)

  খ

  O(n2)

  গ

  O(n!)

  ঘ

  O(2n)
• The longest increasing subsequence problem is a problem to find the length of a subsequence from a sequence of array elements such that the subsequence is sorted in increasing order and it’s length is maximum. This problem can be solved using __________
  ক

  Recursion

  খ

  Dynamic programming

  গ

  Brute force

  ঘ

  Recursion, Dynamic programming, Brute force