Intervals - Non-overlapping Intervals (Max Non-Overlap)
You have a list of intervals with start and end times. You want to select the largest subset of intervals so that none overlap. Which algorithmic pattern best solves this problem?
You have a list of intervals with start and end times. You want to select the largest subset of intervals so that none overlap. Which algorithmic pattern best solves this problem?
easy🔍 Pattern Recognition Q1 of Q15
Step-by-Step Solution
Solution:
Step 1: Identify the problem goal
The problem asks for the maximum number of non-overlapping intervals, which is a classic scheduling problem.Step 2: Recognize the optimal greedy strategy
Sorting intervals by their end times and greedily selecting the earliest finishing intervals ensures maximum count.Final Answer:
Option D -> Option DQuick Check:
Greedy by end time is the canonical solution [OK]
Quick Trick: Max non-overlap -> sort by end time [OK]
Common Mistakes:
MISTAKES- Sorting by start time and picking intervals
- Using DP for unweighted intervals
- Trying sliding window on start times
Trap Explanation:
PITFALL- Candidates often confuse sorting by start time with sorting by end time, which leads to suboptimal solutions.
Interviewer Note:
CONTEXT- Tests if candidate recognizes the classic greedy scheduling pattern.
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