segment tree
segment tree is one of the most repeated interview dimensions. Start with edge-safe fundamentals, then move into pattern-level trade-offs.
Interview Signal
Frequently tests problem modeling, edge handling, and verbal clarity.
Common Pitfall
Template-only answers break under follow-up questioning.
Practice Strategy
Practice in 3-5 problem rounds and always review complexity alternatives.
Recommended Progression
Foundation
Pattern Bridge
High-Pressure Round
The Skyline Problem
The Skyline Problem requires calculating a city's silhouette using array manipulation and divide-and-conquer techniques …
Range Sum Query - Mutable
Implement a mutable range sum query using efficient design patterns to handle multiple updates and range sum queries.
Count of Smaller Numbers After Self
Solve the Count of Smaller Numbers After Self problem using binary search and optimized algorithms.
Count of Range Sum
Count the number of subarray sums within a given inclusive range using optimized divide-and-conquer techniques efficient…
Queue Reconstruction by Height
Reconstruct a queue based on the given heights and the number of taller people in front, using sorting and binary indexe…
Reverse Pairs
Count the number of reverse pairs in a given integer array using efficient algorithms like binary search and merge sort.
Number of Longest Increasing Subsequence
This problem challenges you to find the number of longest increasing subsequences in a given array of integers.
Falling Squares
Solve Falling Squares by efficiently computing maximum stack heights using arrays with segment tree optimization techniq…
Range Module
Design a RangeModule to track and query half-open intervals using segment trees or ordered sets.
My Calendar I
Implement a calendar supporting non-overlapping event bookings using binary search for efficient insertion and conflict …
My Calendar II
Implement a calendar that allows double bookings but prevents triple bookings, managing overlapping intervals efficientl…
My Calendar III
Implement My Calendar III to track maximum overlapping events efficiently using binary search and segment tree technique…
Rectangle Area II
The problem involves calculating the total area covered by multiple rectangles, ensuring overlap is counted only once.
Online Majority Element In Subarray
Efficiently find the majority element in any subarray using a data structure optimized for multiple range queries.
Count Number of Teams
Count the number of valid three-soldier teams using ratings with a state transition dynamic programming approach efficie…
Minimum Possible Integer After at Most K Adjacent Swaps On Digits
Reorder digits using at most k adjacent swaps to produce the smallest possible integer, leveraging greedy selection effi…
Find a Value of a Mysterious Function Closest to Target
In this problem, you'll use binary search to find the closest value of a mysterious function to a given target.
Fancy Sequence
Implement a Fancy sequence supporting append, addAll, and multAll operations efficiently using cumulative math design te…
Create Sorted Array through Instructions
The problem asks to compute the cost of inserting elements into a sorted array using a series of instructions.
Delivering Boxes from Storage to Ports
Optimize the minimum number of trips to deliver boxes to ports under strict ship constraints using dynamic programming t…
Range Frequency Queries
Design a data structure to handle efficient frequency queries for subarrays, focusing on hash-based lookups and efficien…
Count Good Triplets in an Array
Count Good Triplets in an Array requires tracking index orders across two permutations efficiently using binary search.
Longest Substring of One Repeating Character
Solve Longest Substring of One Repeating Character by maintaining mergeable run information under character updates afte…
Count Integers in Intervals
Design and implement a data structure to efficiently add intervals and count the total number of integers covered by the…
Booking Concert Tickets in Groups
Design a ticketing system to allocate concert seats in specific groupings while efficiently handling seat reservations.
Longest Increasing Subsequence II
Determine the longest increasing subsequence in an array where consecutive elements differ by at most k using dynamic pr…
Longest Uploaded Prefix
Calculate the longest continuous uploaded prefix in a video stream efficiently using a mix of binary search and data str…
Number of Pairs Satisfying Inequality
Count pairs in two arrays satisfying a given inequality condition using binary search over the valid answer space.
Handling Sum Queries After Update
Solve the Handling Sum Queries After Update problem using arrays and segment trees with lazy propagation for efficiency.
Make Array Empty
Solve the "Make Array Empty" problem using binary search to determine the minimum number of operations required.
Maximum Sum Queries
Find the maximum sum of paired elements from two arrays under query constraints using efficient binary search techniques…
Subarrays Distinct Element Sum of Squares II
Compute the sum of squares of distinct elements in all subarrays using state transition dynamic programming efficiently.
Maximum Balanced Subsequence Sum
Learn to find the maximum sum of a balanced subsequence using dynamic programming and careful state transitions efficien…
Find Building Where Alice and Bob Can Meet
Determine the leftmost building where Alice and Bob can meet using a binary search over valid move sequences.
Distribute Elements Into Two Arrays II
Distribute elements into two arrays based on conditions, utilizing a Binary Indexed Tree for efficient counting and simu…
Minimum Sum of Values by Dividing Array
Solve the problem of dividing an array into subarrays to match specified bitwise AND values using dynamic programming.
Block Placement Queries
Determine if blocks can be placed on an infinite number line using queries, leveraging binary search over the valid answ…
Maximum Sum of Subsequence With Non-adjacent Elements
Compute the maximum sum of a subsequence where no two adjacent elements are selected after each array update efficiently…
Find Subarray With Bitwise OR Closest to K
Find a subarray with bitwise OR closest to a given value k with minimal absolute difference.
Peaks in Array
Determine peaks in a dynamic integer array using efficient Binary Indexed Tree updates and range queries for fast result…
Number of Subarrays With AND Value of K
The problem asks to find the number of subarrays with a given AND value in an array, utilizing binary search for optimiz…
Minimum Number of Valid Strings to Form Target I
Use dynamic programming to split target into the fewest prefixes that match any word prefix, while ruling out dead posit…
Minimum Number of Valid Strings to Form Target II
Compute the minimum number of valid strings from an array needed to construct a given target string efficiently using dy…
Maximum Area Rectangle With Point Constraints I
Find the maximum area of a rectangle formed by given points on a plane with unique coordinates.
Maximum Area Rectangle With Point Constraints II
Find the largest rectangle on a plane using given points while avoiding any interior points and optimizing with math and…
Maximize Subarray Sum After Removing All Occurrences of One Element
Maximize Subarray Sum After Removing All Occurrences of One Element involves finding the optimal subarray sum with one a…
Count Non-Decreasing Subarrays After K Operations
This problem asks you to count non-decreasing subarrays in a given array after applying at most k operations.
Separate Squares II
Separate Squares II requires finding the minimum y-coordinate such that squares' areas are split evenly above and below …
Fruits Into Baskets II
Determine the number of fruit types that remain unplaced after all allocations in the "Fruits Into Baskets II" problem.
Fruits Into Baskets III
Fruits Into Baskets III requires placing fruits into baskets efficiently using binary search over the answer space for c…
Maximize Subarrays After Removing One Conflicting Pair
Maximize the count of subarrays after removing one conflicting pair using array traversal and segment tree logic efficie…
Maximize Active Section with Trade II
Maximize the number of active sections in a binary string with at most one trade.
Shortest Path in a Weighted Tree
Solve the Shortest Path in a Weighted Tree using binary-tree traversal and efficient state tracking for queries.
Find X Value of Array II
The "Find X Value of Array II" problem requires calculating the number of ways to remove a suffix from an array such tha…
Maximize Count of Distinct Primes After Split
Compute the maximum number of distinct prime numbers after sequentially updating array elements with efficient preproces…
Minimum Stability Factor of Array
The problem requires finding the minimum stability factor of an array by utilizing binary search and math-based optimiza…
Number of Integers With Popcount-Depth Equal to K II
This problem challenges you to efficiently calculate the number of integers with popcount-depth equal to K using array a…