Podcast
Questions and Answers
What is the time complexity to calculate the prefix sum array for an array of size 'n'?
What is the time complexity to calculate the prefix sum array for an array of size 'n'?
- O(1)
- O(n) (correct)
- O(log n)
- O(n^2)
Which of the following is the main advantage of using a frequency array?
Which of the following is the main advantage of using a frequency array?
- It reduces the size of the input array.
- It helps in sorting an array efficiently.
- It ensures the array is sorted.
- It helps in counting occurrences of elements. (correct)
In the two-pointer technique, what is a typical use case of moving the pointers inward from the ends of a sorted array?
In the two-pointer technique, what is a typical use case of moving the pointers inward from the ends of a sorted array?
- Sorting an array.
- Finding subarrays with a given sum in an unsorted array.
- Solving problems related to finding pairs with a specific sum. (correct)
- Counting distinct elements in an array.
How can you efficiently find if a subarray exists with a given sum using a prefix sum array?
How can you efficiently find if a subarray exists with a given sum using a prefix sum array?
What is the space complexity of the two-pointer approach in its most basic form, assuming no additional data structures are used?
What is the space complexity of the two-pointer approach in its most basic form, assuming no additional data structures are used?
What is the time complexity of the Knuth-Morris-Pratt (KMP) algorithm for pattern matching?
What is the time complexity of the Knuth-Morris-Pratt (KMP) algorithm for pattern matching?
Which algorithm is known for finding the longest palindromic substring in O(n) time?
Which algorithm is known for finding the longest palindromic substring in O(n) time?
What is the primary purpose of the Z-Algorithm in string processing?
What is the primary purpose of the Z-Algorithm in string processing?
In the Rabin-Karp algorithm, what is the main advantage of using a rolling hash function?
In the Rabin-Karp algorithm, what is the main advantage of using a rolling hash function?
How does a suffix array improve upon a naive approach for finding repeated substrings in a string?
How does a suffix array improve upon a naive approach for finding repeated substrings in a string?
What is the time complexity of the naive recursive Fibonacci function for an input 'n'?
What is the time complexity of the naive recursive Fibonacci function for an input 'n'?
How many moves are required to solve the Tower of Hanoi problem for n=5 disks?
How many moves are required to solve the Tower of Hanoi problem for n=5 disks?
What will be the output of the following recursive function for n=5?
int fun(int n){if(n==0) return 0; return n + fun(n-1);}
What will be the output of the following recursive function for n=5?
int fun(int n){if(n==0) return 0; return n + fun(n-1);}
Which of the following conditions is the correct base case to check for a palindrome string recursively, where start
and end
are the starting and ending indices of the string, respectively?
Which of the following conditions is the correct base case to check for a palindrome string recursively, where start
and end
are the starting and ending indices of the string, respectively?
How many subsets (including the empty set) can be generated for a set of size 'n' using recursion?
How many subsets (including the empty set) can be generated for a set of size 'n' using recursion?
What is the time complexity of calculating all possible subsets of a set containing 'n' elements?
What is the time complexity of calculating all possible subsets of a set containing 'n' elements?
In backtracking, what is the purpose of the 'unchoose' step after exploring a potential solution?
In backtracking, what is the purpose of the 'unchoose' step after exploring a potential solution?
Which problem is most efficiently solved using backtracking?
Which problem is most efficiently solved using backtracking?
What is a primary advantage of using dynamic programming over recursion for optimization problems?
What is a primary advantage of using dynamic programming over recursion for optimization problems?
When should dynamic programming (DP) typically be considered as an approach to solve a problem?
When should dynamic programming (DP) typically be considered as an approach to solve a problem?
Flashcards
Time complexity to calculate prefix sum array?
Time complexity to calculate prefix sum array?
Iterating through the array once to compute the prefix sum, where each element is the sum of all preceding elements.
Advantage of using a frequency array?
Advantage of using a frequency array?
It enables counting the number of times each element occurs in the array by using array indices as elements and array values as counts.
Typical use case of two-pointer technique?
Typical use case of two-pointer technique?
Finding pairs or ranges that meet certain conditions, such as finding subarrays with a specific sum.
Find subarray with a given sum using prefix sum?
Find subarray with a given sum using prefix sum?
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Space complexity of the two-pointer approach?
Space complexity of the two-pointer approach?
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Time complexity of the KMP algorithm?
Time complexity of the KMP algorithm?
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Algorithm finds longest palindromic substring in O(n) time?
Algorithm finds longest palindromic substring in O(n) time?
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Purpose of the Z-Algorithm?
Purpose of the Z-Algorithm?
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Advantage of using hashing in Rabin-Karp?
Advantage of using hashing in Rabin-Karp?
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How does a suffix array improve finding repeated substrings?
How does a suffix array improve finding repeated substrings?
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Time complexity of recursive Fibonacci function?
Time complexity of recursive Fibonacci function?
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Moves to solve Tower of Hanoi for n=5 disks?
Moves to solve Tower of Hanoi for n=5 disks?
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Output of recursive function for n=5?
Output of recursive function for n=5?
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Base condition for palindrome check?
Base condition for palindrome check?
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Subsets generated for a set of size n using recursion?
Subsets generated for a set of size n using recursion?
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Study Notes
- Calculating the prefix sum array for an array of size n has a time complexity of O(n).
- The main advantage of using a frequency array is that it helps in counting occurrences of elements.
- In the two-pointer technique, moving the pointers inward from the ends is commonly used for solving problems related to palindromes.
- You can efficiently find if a subarray exists with a given sum using a prefix sum array by utilizing a hashmap to store prefix sums.
- The space complexity of the two-pointer approach, assuming no additional data structures are used, is O(1).
- The time complexity of the Knuth-Morris-Pratt (KMP) algorithm for pattern matching is O(m+n).
- Manacher's Algorithm is used to find the longest palindromic substring in O(n) time.
- The purpose of the Z-Algorithm in string processing is efficient pattern matching.
- In the Rabin-Karp algorithm, the main advantage of using hashing is to achieve a rolling hash for efficient comparison.
- A suffix array improves upon a naive approach for finding repeated substrings in a string by enabling efficient search operations.
- The time complexity of the recursive Fibonacci function for input n is O(2^n).
- It requires 31 moves to solve the Tower of Hanoi problem for n=5 disks.
- The recursive function
int fun(int n){if(n==0) return 0; return n + fun(n-1);}
will output 15 for n=5. - The base condition to check for a palindrome string recursively is
start >= end
. - The number of subsets (including empty) that can be generated for a set of size n using recursion is 2^n.
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