Q. Which of the following is/are applications of Catalan numbers?

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Q. Which of the following methods can be used to find the nth Catalan number?

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Q. Which of the following implementations of Catalan numbers has the smallest time complexity?

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Q. Which of the following implementations of Catalan numbers has the largest space complexity(Don’t consider the stack space)?

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Q. Which of the following methods can be used to solve the assembly line scheduling problem?

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Q. What is the time complexity of the brute force algorithm used to solve the assembly line scheduling problem?

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Q. In the dynamic programming implementation of the assembly line scheduling problem, how many lookup tables are required?

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Q. Given a string, you have to find the minimum number of characters to be inserted in the string so that the string becomes a palindrome. Which of the following methods can be used to solve the problem?

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Q. In which of the following cases will the number of insertions to form a palindrome be minimum?

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Q. In the worst case, the minimum number of insertions to be made to convert the string into a palindrome is equal to the length of the string.

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Q. Consider the string “efge”. What is the minimum number of insertions required to make the string a palindrome?

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Q. Consider the string “abbccbba”. What is the minimum number of insertions required to make the string a palindrome?

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Q. Which of the following problems can be used to solve the minimum number of insertions to form a palindrome problem?

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Q. Given a 2D matrix, find a submatrix that has the maximum sum. Which of the following methods can be used to solve this problem?

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Q. In which of the following cases, the maximum sum rectangle is the 2D matrix itself?

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Q. In which of the following cases, the maximum sum rectangle can be a 1 x 1 matrix containing the largest element?

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Q. Consider a matrix in which all the elements are non-zero(at least one positive and at least one negative element). In this case, the sum of the elements of the maximum sum rectangle cannot be zero.

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Q. Consider the 2×3 matrix {{1,2,3},{1,2,3}}. What is the sum of elements of the maximum sum rectangle?

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Q. Consider the 2×2 matrix {{-1,-2},{-3,-4}}. What is the sum of elements of the maximum sum rectangle?

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Q. Consider the 3×3 matrix {{2,1,-3},{6,3,4},{-2,3,0}}. What is the sum of the elements of the maximum sum rectangle?

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