[Solved] Suppose intervals have real-valued start and end times and you want to find the maximum number of... Which of the following changes is necessary compared to the integer interval case? | Intervals

Intervals - Non-overlapping Intervals (Max Non-Overlap)

Suppose intervals have real-valued start and end times and you want to find the maximum number of non-overlapping intervals. Which of the following changes is necessary compared to the integer interval case?

AApply the same greedy algorithm without modification

BUse a segment tree to handle real numbers efficiently

CUse a tolerance epsilon when comparing start and end times for overlap

DSort intervals by start time instead of end time

Step-by-Step Solution

Solution:

Step 1: Understand the problem with real numbers
Real-valued intervals can be sorted and compared just like integers.
Step 2: Verify greedy algorithm applicability
The greedy algorithm sorting by end time and selecting intervals still applies without modification.
Final Answer:
Option A -> Option A
Quick Check:
Algorithm logic is unchanged for real numbers [OK]

Quick Trick: Greedy works for real intervals as well [OK]

Common Mistakes:

MISTAKES

Thinking floating point needs special data structures
Adding epsilon unnecessarily
Changing sorting key

Trap Explanation:

PITFALL

Candidates often overcomplicate real number handling, missing that greedy still applies.

Interviewer Note:

CONTEXT

Tests understanding of algorithm robustness to input domain changes.

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More Intervals Quizzes

Which of the following changes is necessary compared to the integer interval case?

Step 1: Understand the problem with real numbers

Step 2: Verify greedy algorithm applicability

Final Answer:

Quick Check:

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