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Questions and Answers
What is the time complexity of the Josephus problem?
What is the time complexity of the Josephus problem?
Which algorithm mentioned is used to find the longest palindromic substring?
Which algorithm mentioned is used to find the longest palindromic substring?
What is the space complexity of the Maze solving algorithm?
What is the space complexity of the Maze solving algorithm?
What is the space complexity of the Manachers algorithm?
What is the space complexity of the Manachers algorithm?
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Which of the following algorithms has the highest time complexity?
Which of the following algorithms has the highest time complexity?
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What is the time complexity of a recursive function that explores every position in a matrix of size n x m?
What is the time complexity of a recursive function that explores every position in a matrix of size n x m?
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In terms of space complexity, how would you characterize the recursive function that processes a matrix using recursion?
In terms of space complexity, how would you characterize the recursive function that processes a matrix using recursion?
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Which of the following best describes the Big O notation for this matrix exploration algorithm?
Which of the following best describes the Big O notation for this matrix exploration algorithm?
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What is the primary factor that influences the algorithmic efficiency of the recursive matrix exploration function?
What is the primary factor that influences the algorithmic efficiency of the recursive matrix exploration function?
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While backtracking in the recursive function, what is the main purpose of unmarking explored positions?
While backtracking in the recursive function, what is the main purpose of unmarking explored positions?
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What is the time complexity for the algorithm used to move a hyphen to the beginning of a string?
What is the time complexity for the algorithm used to move a hyphen to the beginning of a string?
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Which of the following algorithms has a time complexity of O(n^n)?
Which of the following algorithms has a time complexity of O(n^n)?
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What is the space complexity of the majority element linear solution?
What is the space complexity of the majority element linear solution?
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Which algorithm demonstrates a time complexity of O(R*C) in the context of a matrix?
Which algorithm demonstrates a time complexity of O(R*C) in the context of a matrix?
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Which of the following sorting algorithms has a time complexity of O(n*2)?
Which of the following sorting algorithms has a time complexity of O(n*2)?
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What is the space complexity of the sorting algorithm represented as O(1)?
What is the space complexity of the sorting algorithm represented as O(1)?
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Which algorithm has a time complexity of O(log(min(a, b)))?
Which algorithm has a time complexity of O(log(min(a, b)))?
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What is the time complexity of the majority element binary search tree solution in a balanced tree?
What is the time complexity of the majority element binary search tree solution in a balanced tree?
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Which of the following has a linear time complexity of O(n) for finding leaders in an array?
Which of the following has a linear time complexity of O(n) for finding leaders in an array?
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What is the worst-case time complexity of a majority element trivial solution?
What is the worst-case time complexity of a majority element trivial solution?
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What is the time complexity of the Karatsuba multiplication algorithm?
What is the time complexity of the Karatsuba multiplication algorithm?
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Which approach would be the most efficient for finding the maximum product subarray?
Which approach would be the most efficient for finding the maximum product subarray?
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For which of the following problems is a brute force solution generally considered inefficient with a time complexity of O(n^n)?
For which of the following problems is a brute force solution generally considered inefficient with a time complexity of O(n^n)?
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What is the main advantage of using binary search in comparisons?
What is the main advantage of using binary search in comparisons?
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Study Notes
Time and Space Complexity of Algorithms
- Josephus Problem: Time complexity is O(n), Space complexity is O(n).
- Manacher's Algorithm: Time complexity is O(n), Space complexity is O(n).
- Maneuvering algorithm: Time complexity is O(n), Space complexity is O(n)
- Maze Solving: Time complexity is O(2n^2), Space complexity is O(n^2).
- Weighted substring: Time complexity is O(n^n) (Quadratic Time Complexity), Space complexity is O(n).
- Sorted unique permutations: Time complexity is O(P*Q), Space complexity is O(n).
- Selection sort: Time complexity is O(n^2), Space complexity is O(1).
- Quick sort: Time complexity is O(n*2), Space complexity is O(1).
- Move hyphen to the beginning: Time complexity is O(n), Space complexity is O(1).
- Longest sequence of 1s: Time complexity is O(n), Space complexity is O(1).
- Nibble swap: Time complexity is O(n), Space complexity is O(1).
- Block swap: Time complexity is O(n), Space complexity is O(1).
- Max product subarray: Time complexity is O(R*C), space complexity is O(1).
- Max sum of hourglass matrix: Time complexity is O(R*C), space complexity is O(1).
Additional Algorithm Analysis
- Binary palindrome: Time complexity is O(log n).
- Euclid's algorithm: Time complexity is O(log(min(a, b))).
- Karatsuba: Time complexity is T(n) = 3* T(n/2) + O(n).
- Leaders in an array: Time complexity is O(n), Space complexity is O(n).
- Majority element (trivial solution): Time complexity is O(n^n), Space complexity is O(1).
- Majority element (binary search tree): Time complexity is O(n log n) in case of balanced BST, Space complexity is O(1).
- Majority element (linear solution): Time complexity is O(n), Space complexity is O(1).
- Alice Apple: Time complexity and space complexity based on the condition of M, S and K.
String Matching and Arithmetic
- String s: Example of a string variable.
- Integer.toBinaryString(N): Converts an integer to its binary string representation.
- gcd: Time complexity of gcd could be described in terms of Big Theta notation.
- Arithmetic Operations: Steps for specific arithmetic operations (e g., addition, multiplication) are shown.
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Description
Test your knowledge on the time and space complexities of various algorithms, including the Josephus Problem, Manacher's Algorithm, and more. This quiz will help you understand the efficiency and resource requirements of different algorithmic techniques.
