Sliding Window
1. Longest Substring Without Repeating Characters (LeetCode #3)
Problem Description: The problem "Longest Substring Without Repeating Characters" asks us to find the length of the longest substring without repeating characters in a given string.
Problem Link: https://leetcode.com/problems/longest-substring-without-repeating-characters/
Optimized Java Code:
Algorithm Description:
To solve this problem, we can use the sliding window technique. We maintain a window of characters and continuously expand it by moving the end pointer forward. We also keep track of the maximum length of the non-repeating substring.
We use an array lastIndex
of size 256 to store the last index of each character encountered so far. Initially, all elements of this array are set to -1.
We iterate through the given string s
using the end pointer. For each character, if its last index is not -1 (which means it is a repeating character), we move the start pointer to the next character after the duplicate character. This ensures that we have a new non-repeating substring. We update the maximum length by taking the difference between the end and start pointers.
We also update the last index of the current character with the current end pointer.
Finally, we return the maximum length as the result.
During the interview process, it's important to explain the approach using clear and concise language. Make sure to mention the time complexity of the solution, which in this case is O(n) where n is the length of the string.
2. Minimum Size Subarray Sum (LeetCode #209)
Problem Description and Link: The problem "Minimum Size Subarray Sum" is a LeetCode problem. The link to the problem is: https://leetcode.com/problems/minimum-size-subarray-sum/
Optimized Java Code with Detailed Comments:
Algorithm and Interview Process:
Algorithm:
The problem is asking to find the minimum size subarray whose sum is greater than or equal to the target.
We can solve this problem efficiently using the sliding window technique.
We will maintain a window with a start and end pointer.
Initially, both pointers will be at the start of the array.
We will keep expanding the window by incrementing the end pointer and compute the sum of elements in the subarray.
When the sum becomes greater than or equal to the target, we will try to shrink the window by incrementing the start pointer and subtracting the corresponding element.
We will keep track of the minimum length of the subarray found so far.
In the end, we will return the minimum length or 0 if no such subarray exists.
Interview Process:
During an interview, it is important to understand the given problem statement and its constraints.
Discuss with the interviewer about the possible approaches to solve the problem.
Explain the sliding window technique and how it can be used to solve this problem efficiently.
Write the optimized solution code while explaining the steps.
After writing the code, discuss the time and space complexity of the solution.
Test the code with different test cases and edge cases to check for correctness and efficiency.
Finally, summarize the key points and check if the interviewer has any further questions on the solution or for improvements.
3. Maximum Points You Can Obtain from Cards (LeetCode #1423)
Problem Description: The problem is called "Maximum Points You Can Obtain from Cards" and the problem link on LeetCode is: https://leetcode.com/problems/maximum-points-you-can-obtain-from-cards/submissions/
Optimized Java Code with Comments:
Detailed Algorithm Description: The problem requires us to select the maximum number of cards from the given array such that the sum of the points on these cards is maximum. We are allowed to choose any number of cards from the beginning or end of the array, but we need to choose exactly k cards.
To solve this problem efficiently, we can use the sliding window approach. First, we need to find the size of the window, which is the total number of cards minus the number of cards we are allowed to choose (n - k). We calculate the sum of the first window by iterating through the array. Then, we initialize the maximum score variable with this sum.
Next, we iterate through the array starting from the first index after the window until the end. In each iteration, we update the sum by adding the current element and subtracting the element that is outside the window. We then update the maximum score using Math.max function.
Finally, we return the maximum score as the output.
During an interview, it is important to explain the logic behind the solution, such as the sliding window approach and how it helps to optimize the solution. Additionally, it is recommended to walk through an example to demonstrate how the algorithm works step by step.
4. Longest Substring with At Most K Distinct Characters (LeetCode #340)
Problem Description: Given a string s and an integer k, return the length of the longest substring of s that contains at most k distinct characters.
Example: Input: s = "eceba", k = 2 Output: 3 Explanation: The longest substring with at most 2 distinct characters is "ece".
Problem Link: https://leetcode.com/problems/longest-substring-with-at-most-k-distinct-characters/
Java Code:
Algorithm Explanation:
To solve this problem, we can use a sliding window approach with a hashmap to keep track of the frequency of characters in the current window. The idea is to keep expanding the window until we have more than k distinct characters. Then, we would start shrinking the window from the left until we have at most k distinct characters again. Repeat this process until we traverse the entire string.
Here are the steps:
Create a hashmap to store the count of each character in the current window.
Initialize two pointers, start and end, both pointing to the start index of the string s.
Iterate over the string using the end pointer and perform the following steps:
Update the count of the current character in the hashmap.
If the size of the hashmap is less than or equal to k, update the maximum length of the substring.
If the size of the hashmap is greater than k, start shrinking the window from the left:
Update the count of the character at the start pointer in the hashmap.
If the count becomes zero, remove the character from the hashmap.
Increment the start pointer.
Return the maximum length of the substring.
During an interview, you can explain the algorithm by first identifying the problem as a substring problem with at most k distinct characters. Then, mention the sliding window approach and explain how it involves expanding and shrinking the window based on the number of distinct characters. You can also mention the use of a hashmap to keep track of the character frequencies. Finally, walk through the code, explaining each step and its purpose.
5. Find All Anagrams in a String (LeetCode #438)
Problem Description and Link: The problem "Find All Anagrams in a String" is a problem on LeetCode. Given a string s and a non-empty string p, find all the start indices of p's anagrams in s. An anagram is a word or phrase formed by rearranging the letters of another word or phrase.
Problem link: https://leetcode.com/problems/find-all-anagrams-in-a-string/
Optimized Java Code with Detailed Comments:
Algorithm Description and Approach: During an interview, it's important to demonstrate your thought process in addition to providing a solution. Here is a step-by-step approach to thinking through this problem:
First, we check if the length of the string
s
is less than the length of stringp
, as we cannot find anagrams if the target string is longer than the input string.Next, we create a map
pMap
to store the count of characters in the target stringp
. We iterate over each character inp
and update the count in the map. We usegetOrDefault
method to handle the case when the character is not present in the map.We initialize variables
left
andright
to represent the sliding window that we will use to check for anagrams. Also, we maintain the variablecount
to keep track of the number of characters inp
that we still need to find ins
.We enter a while loop where we expand the right end of the window until we exhaust all characters in
s
.For each character at current
right
index, we check if it is present inpMap
. If so, we decrement the count and update the count of that character in the map. If the updated count is zero, it means we have found all occurrences of that character fromp
in the current window.After processing a character, we increment
right
to move the window one step further.If the
count
value reaches zero, it means we have found an anagram at the current window. We need to consider the possibility of multiple anagrams, so we check if the window size is equal to the length ofp
. If it is, we add theleft
index of the window to the result list.After that, we enter a nested while loop where we contract the left end of the window. We remove the leftmost character from the window and update the
pMap
andcount
accordingly.The outer while loop will continue until we reach the end of string
s
. Finally, we return the result list containing the start indices of all the anagrams found ins
.
Remember to analyze the time complexity of the solution during the interview. In this case, the time complexity is O(n), where n is the length of string s
.
6. Fruit Into Baskets (LeetCode #904)
Problem Description: The problem "Fruit Into Baskets" states that we are given an array of fruits, where each fruit is represented by a number. We need to choose two baskets, and each basket can contain any number of fruits. The goal is to maximize the number of fruits we can collect. However, there is a condition: we can only pick two types of fruits.
LeetCode Link: https://leetcode.com/problems/fruit-into-baskets/
Optimized Java Code with Comments:
Algorithm and Thought Process Explanation:
We are given an input array, "fruits", containing numbers representing different types of fruits.
We need to choose two baskets and collect fruits such that the number of fruits collected is maximized.
The condition is that we can only pick two types of fruits.
To solve this problem, we can use a sliding window approach:
We will use two pointers, i and j, to represent the start and end of the current window respectively.
We will also use a map, "fruitCount", to store the count of each type of fruit present in the window.
At each step, we will add the current fruit count to the map and check if the map size exceeds 2.
If the map size exceeds 2, it means we have more than two types of fruits in the window.
In this case, we need to remove fruits from the start of the window until we have only two types of fruits left.
We will keep track of the maximum number of fruits collected using the variable "maxFruits".
Finally, we return the value of "maxFruits".
During interviews, it is important to:
First, understand the problem and its constraints properly.
Think about possible approaches and choose the most optimal one.
Explain your approach clearly and concisely to the interviewer.
Write clean and efficient code with proper comments.
Test the code on various test cases to ensure correctness.
Discuss the time and space complexity of the solution.
If time permits, try to come up with alternate approaches or optimizations.
Remember to practice solving different types of LeetCode problems to enhance your problem-solving skills and familiarity with different algorithms and data structures.
7. Longest Mountain in Array (LeetCode #845)
Problem Description and Link to LeetCode:
Problem Description:
Given an array A consisting of N integers, you have to find the length of the longest mountain in A.
A mountain is defined as a subarray of A where the elements are strictly increasing until they reach a peak, and then they are strictly decreasing. At least 3 elements are required to form a mountain.
Link to LeetCode problem: https://leetcode.com/problems/longest-mountain-in-array/
Optimal Java Code for "Longest Mountain in Array" with Detailed Comments:
Detailed Description of the Algorithm and Interview Process:
The algorithm to solve the "Longest Mountain in Array" problem is straightforward. We iterate through the array and whenever we find a potential mountain, we try to traverse upwards until a peak is reached, and then downwards while the elements are strictly decreasing.
The key points to understand and think through during an interview process are:
We can start from index 1 (rather than 0) because a mountain needs at least three elements, and starting from index 1 ensures that we can safely check a previous element (i-1) without going out of bounds.
We need to keep track of the maximum mountain length found so far.
When we find a potential mountain (A[i] > A[i-1]), we start traversing upwards till the elements are strictly increasing, and keep incrementing the mountain length. We also update the index 'i' during this process.
Once a peak is reached (A[i] < A[i-1]), we start traversing downwards while the elements are strictly decreasing, and keep incrementing the mountain length. Again, we update the index 'i' during this process.
After traversing downwards, if a new mountain length is greater than the previous max mountain length, we update the max mountain length.
If we don't find a mountain or the array is less than 3 elements long, the max mountain length remains 0.
In the provided Java code, each step is clearly defined with comments. The time complexity of this approach is O(N), where N is the length of the input array A.
8. Find the Kth Smallest Sum of a Matrix With Sorted Rows (LeetCode #1439)
The problem "Find the Kth Smallest Sum of a Matrix With Sorted Rows" can be found on LeetCode at the following link: https://leetcode.com/problems/find-the-kth-smallest-sum-of-a-matrix-with-sorted-rows/
Here is the optimized Java code for the problem "Find the Kth Smallest Sum of a Matrix With Sorted Rows" with detailed comments:
Algorithm and thinking process:
The problem requires finding the k^th smallest sum of a matrix with sorted rows. We can approach this problem using a heap data structure.
We start by creating a max heap (priority queue) to store the k smallest sums. We use a max heap instead of a min heap because we want to always keep the maximum k elements in the priority queue. We initialize the priority queue with the elements of the first row of the matrix.
Next, we iterate over the remaining rows of the matrix. For each element in the current row, we compute the sum of the element with each element in the priority queue. We add these sums to a temporary max heap. We then keep the size of the temporary max heap <= k by removing the largest element if necessary.
After processing all the rows, the top element of the priority queue will be the k^th smallest sum.
In an interview, it would be important to explain the approach and how it utilizes the properties of a max heap to efficiently find the k^th smallest sum. Additionally, it would be helpful to mention the time and space complexity of the solution, which is O(m * n * k * log k), where m is the number of rows, n is the number of columns, and k is the input parameter.
9. Max Consecutive Ones III (LeetCode #1004)
Problem Description:
The problem "Max Consecutive Ones III" is to find the maximum number of consecutive 1s in an array containing 0s and 1s, with the ability to flip at most K 0s to 1s.
Problem Link: https://leetcode.com/problems/max-consecutive-ones-iii/
Optimized Java Code:
Algorithm Explanation and Interview Insights:
Algorithm:
We can solve the problem using a sliding window approach.
Use two pointers, "left" and "right", to maintain a window of contiguous ones.
As we move the "right" pointer, we check if the current element is 0. If it is, we increment the "zeros" count.
If the "zeros" count exceeds K, we need to shrink the window from the left side.
We shrink the window by moving the "left" pointer to the right until the "zeros" count becomes less than or equal to K.
At each step, we update the "maxOnes" variable with the maximum length of consecutive ones encountered so far.
Finally, we return the "maxOnes" value as the result.
Thinking Through the Problem During an Interview:
Understand the problem statement and requirements clearly.
Ask clarifying questions if any ambiguity exists.
Start with a brute force solution to solve the problem, which may involve nested loops or recursion.
Analyze the brute force solution's time and space complexity.
Think about optimization opportunities by identifying repetitive computations or unnecessary work.
Consider different data structures or algorithms that could improve the solution.
Implement the optimized solution and test it with sample test cases.
Analyze the optimized solution's time and space complexity.
Discuss any trade-offs made in the optimized solution, such as sacrificing readability for performance.
Consider edge cases or additional test cases to ensure the solution handles all scenarios.
Summarize the approach, time complexity, space complexity, and any insights gained or lessons learned during the problem-solving process.
By following these steps, you can efficiently approach and solve LeetCode problems in interviews, demonstrating strong problem-solving skills and computer science fundamentals.
10. Longest Repeating Character Replacement (LeetCode #424)
Problem Description: The problem "Longest Repeating Character Replacement" asks us to find the length of the longest substring in a string s
that can be replaced with any other character such that the resulting string has the same character repeating throughout.
Link to LeetCode problem: https://leetcode.com/problems/longest-repeating-character-replacement/
Optimized Java Solution: Here is the optimized Java code with detailed comments:
Algorithm Explanation: To solve this problem efficiently, we can use the sliding window technique.
Initialize variables: We initialize an array
charCounts
of size 26 to keep track of the count of each character in the current window. We also initializemaxCount
,maxLength
, andstart
to 0.Loop through the string: We iterate through the string
s
using a for loop with anend
variable.Update character count: At each iteration, we increment the count of the current character
c
incharCounts
by doingcharCounts[c - 'A']++
.Update maximum count: We update the maximum count of any character seen so far by taking the maximum of
maxCount
andcharCounts[c - 'A']
.Calculate window size: We calculate the current window size by subtracting the start index from the end index and adding 1.
Slide window if required: If the difference between the window size and the maximum count is greater than
k
, it means we need more replacements than the allowed limit. In this case, we slide the window by moving thestart
index towards the end and decrementing the count of the character at the start of the window incharCounts
.Update maximum length: We update the maximum length of the substring with repeating characters by taking the maximum of
maxLength
and the current window size.Return the result: After the loop, we return
maxLength
, which represents the length of the longest substring with repeating characters that can be achieved by replacing at mostk
characters.
Thinking Through the Algorithm during Interview: During an interview, it is important to clearly understand the problem and come up with an algorithm before writing code. Here are some steps to think through the algorithm:
Read and understand the problem statement carefully. Identify the inputs, outputs, and any constraints.
Start by thinking of a naive brute-force solution. This will help you understand the problem better and think about possible optimizations.
Think about the main logic or approach to solve the problem. In this case, the sliding window technique is a good approach.
Break down the problem into smaller steps and think about how to implement them. Here, the steps are initializing variables, looping through the string, updating counts, calculating window size, sliding the window if required, and updating the maximum length.
Consider edge cases and special scenarios. In this problem, we need to consider cases where
k
is larger than the number of characters that need to be replaced.Verify the algorithm by walking through a sample input with pen and paper. This will help you catch any logical errors and refine the algorithm further.
Start implementing the code in your preferred programming language, adding comments to explain the logic and any complex parts of the code.
Test the code with multiple test cases, including edge cases, to ensure its correctness and efficiency.
By following these steps and practicing similar problems, you can improve your problem-solving skills and approach coding interviews with confidence.
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