Interval Merging/Scheduling — Greedy Patterns
The Interval Merging/Scheduling pattern applies when you need the Interval Merging/Scheduling technique within the Greedy Patterns pattern. Its time complexity is O(n log n) and space complexity O(n). It is used in 3 problems on Thita, including Divide Intervals Into Minimum Number of Groups, Insert Interval and Merge Intervals. Common variations are Sorting Based and Buy/Sell Stock.
Master interval problems including merge intervals, insert interval, and non-overlapping intervals.
Interval Merging/Scheduling is one of the 7 subpatterns of the Greedy Patterns pattern, which covers interval scheduling, jump games, stock trading, and task scheduling. The whole pattern is about 3 hours of study. This subpattern is a core technique: expect it to come up directly in interviews.
What Interval Merging/Scheduling covers
Master greedy algorithms including interval scheduling, jump games, stock trading, and task scheduling. Make locally optimal choices for global optimization. Problems in this subpattern are usually searched for as merge intervals, insert interval, interval scheduling, non-overlapping, leetcode 56, leetcode 57.
How to practise Interval Merging/Scheduling on Thita.ai
Read the theory for Interval Merging/Scheduling, then work the problems attached to it in the browser editor. Your solution runs against the problem's test cases, and the AI coach offers a hint about the technique you are missing rather than a finished solution. Progress is tracked per subpattern, so the Greedy Patterns tracker shows this one as covered once you have solved its problems.
Other subpatterns in Greedy Patterns
- Jump Game Reachability/Minimization — Solve jump game problems using greedy approach. Check reachability and find minimum jumps.
- Sorting Based — Solve greedy problems that require sorting as preprocessing step for optimal solutions.
- Buy/Sell Stock — Optimize stock trading with greedy strategy. Single transaction and multiple transactions.
- Task Scheduling (Frequency Based) — Schedule tasks with cooldown using frequency-based greedy approach.
- Line Sweep — Master the line sweep technique for interval and geometric problems. Process events in sorted order for overlap counting, skyline, and meeting room problems.
- Gas Station Circuit — Find the starting gas station index to complete a circular route using greedy approach.
Related DSA patterns
- Tree Traversal Patterns (DFS & BFS) — Preorder, inorder, level order traversal, LCA, and serialization.
- Heap (Priority Queue) Patterns — Top K elements, K-way merge, two heaps for median, and scheduling.
- Backtracking Patterns — Subsets, permutations, combinations, N-Queens, and word search.
- Dynamic Programming (DP) Patterns — Fibonacci, Kadane, knapsack, LCS, LIS, edit distance, grid paths, and word break.
Where to go next
Interval Merging/Scheduling is one lesson in a 16-pattern DSA course. If you are preparing end to end, work the interview-critical patterns first and use the pattern sheet as the checklist; if you are here for one technique, the Greedy Patterns guide is the shortest path back to the rest of it.