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An algorithm to find the length of the longest monotonically increasing sequence of numbers in an array A[0 :n-1] is given below. Let Li denote the length of the longest monotonically increasing sequence starting at index i in the array.
Which of the following statements is TRUE?
  • a)
    The algorithm uses dynamic programming paradigm
  • b)
    The algorithm has a linear complexity and uses branch and bound paradigm
  • c)
    The algorithm has a non-linear polynomial complexity and uses branch and bound paradigm
  • d)
    The algorithm uses divide and conquer paradigm.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An algorithm to find the length of the longest monotonically increasin...
The time complexity of the above Dynamic Programming (DP) solution is O(n^2) and there is a O(N log N) solution for the LIS problem. We have not discussed the O(N log N) solution here as the purpose of this post is to explain Dynamic Programming with a simple example. See below post for O(N log N) solution. 
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An algorithm to find the length of the longest monotonically increasing sequence of numbers in an array A[0 :n-1] is given below. Let Li denote the length of the longest monotonically increasing sequence starting at index i in the array.Which of the following statements is TRUE?a)The algorithm uses dynamic programming paradigmb)The algorithm has a linear complexity and uses branch and bound paradigmc)The algorithm has a non-linear polynomial complexity and uses branch and bound paradigmd)The algorithm uses divide and conquer paradigm.Correct answer is option 'A'. Can you explain this answer?
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An algorithm to find the length of the longest monotonically increasing sequence of numbers in an array A[0 :n-1] is given below. Let Li denote the length of the longest monotonically increasing sequence starting at index i in the array.Which of the following statements is TRUE?a)The algorithm uses dynamic programming paradigmb)The algorithm has a linear complexity and uses branch and bound paradigmc)The algorithm has a non-linear polynomial complexity and uses branch and bound paradigmd)The algorithm uses divide and conquer paradigm.Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about An algorithm to find the length of the longest monotonically increasing sequence of numbers in an array A[0 :n-1] is given below. Let Li denote the length of the longest monotonically increasing sequence starting at index i in the array.Which of the following statements is TRUE?a)The algorithm uses dynamic programming paradigmb)The algorithm has a linear complexity and uses branch and bound paradigmc)The algorithm has a non-linear polynomial complexity and uses branch and bound paradigmd)The algorithm uses divide and conquer paradigm.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An algorithm to find the length of the longest monotonically increasing sequence of numbers in an array A[0 :n-1] is given below. Let Li denote the length of the longest monotonically increasing sequence starting at index i in the array.Which of the following statements is TRUE?a)The algorithm uses dynamic programming paradigmb)The algorithm has a linear complexity and uses branch and bound paradigmc)The algorithm has a non-linear polynomial complexity and uses branch and bound paradigmd)The algorithm uses divide and conquer paradigm.Correct answer is option 'A'. Can you explain this answer?.
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