Intervals - Employee Free Time
You are given multiple employees' schedules, each as a list of busy time intervals. Which algorithmic pattern best finds all common free time intervals across all employees?
You are given multiple employees' schedules, each as a list of busy time intervals. Which algorithmic pattern best finds all common free time intervals across all employees?
easy🔍 Pattern Recognition Q1 of Q15
Step-by-Step Solution
Solution:
Step 1: Understand the problem requires detecting gaps between merged intervals
The problem is to find common free time, which means identifying gaps after merging all busy intervals.Step 2: Recognize sweep line processes interval endpoints to track active intervals and find free gaps
Sweep line sorts start and end times, incrementing/decrementing active count to detect when no one is busy, revealing free intervals.Final Answer:
Option A -> Option AQuick Check:
Sweep line is the canonical pattern for interval gap detection [OK]
Quick Trick: Sweep line tracks active intervals to find gaps [OK]
Common Mistakes:
MISTAKES- Confusing maximum overlap with free time detection
Trap Explanation:
PITFALL- Candidates often pick maximum overlap or DP, but these don't directly find free gaps.
Interviewer Note:
CONTEXT- Tests candidate's ability to identify interval gap detection pattern.
Master "Employee Free Time" in Intervals
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