What is the time complexity of the brute force algorithm used to find the length of the longest palindromic subsequence?

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?

A

O(n)

B

O(n2)

C

O(n!)

D

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 __________

A

Recursion

B

Dynamic programming

C

Brute force

D

Recursion, Dynamic programming, Brute force

What is the time complexity of the brute force algorithm used to find the longest common subsequence?

A

O(n)

B

O(n2)

C

O(n3)

D

O(2n)

Consider the brute force implementation of the rod cutting problem in which all the possible cuts are found and the maximum value is calculated. What is the time complexity of this brute force implementation?

A

O(n2)

B

O(n3)

C

O(nlogn)

D

O(2n)

For which of the following, the length of the string is not equal to the length of the longest palindromic subsequence?

A

A string that is a palindrome d) Some strings of length two View Answer]

B

A string of length one

C

A string that has all the same letters(e.g. aaaaaa)

D

Some strings of length two

What is the length of the longest palindromic subsequence for the string “ababcdabba”?

A

6

B

7

C

8

D

9

For every non-empty string, the length of the longest palindromic subsequence is at least one.

A

True

B

False

Which of the following methods can be used to solve the longest palindromic subsequence problem?

A

Dynamic programming

B

Recursion

C

Brute force

D

Dynamic programming, Recursion, Brute force

Longest palindromic subsequence is an example of ______________

A

Greedy algorithm

B

2D dynamic programming

C

1D dynamic programming

D

Divide and conquer

What is the time complexity of the brute force algorithm used to solve the Knapsack problem?

A

O(n)

B

O(n!)

C

O(2n)

D

O(n3)

What is the time complexity of the brute force algorithm used to find the length of the longest palindromic subsequence?

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