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If train schedules include fractional arrival and departure times (e.g., 9:00.5), how should the minimum platform calculation algorithm be adapted?

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Intervals - Minimum Number of Platforms Required
If train schedules include fractional arrival and departure times (e.g., 9:00.5), how should the minimum platform calculation algorithm be adapted?
AUse a discrete event simulation instead of sweep line
BRound fractional times to nearest integer before processing
CIgnore fractional parts as they do not affect platform count
DTreat fractional times as continuous values; algorithm remains unchanged
Step-by-Step Solution
Solution:

  1. Step 1: Understand time representation

    Fractional times represent precise moments and can be handled as floats.

  2. Step 2: Algorithm applicability

    The sweep line algorithm works with any sortable numeric values, including fractional times.

  3. Final Answer:

    Option D -> Option D

  4. Quick Check:

    Sorting floats works same as integers [OK]
Quick Trick: Fractional times sort and compare like any numeric values [OK]
Common Mistakes:
MISTAKES
  • Rounding times loses precision and may cause errors
  • Ignoring fractional parts can cause incorrect overlaps
  • Assuming discrete simulation is necessary
Trap Explanation:
PITFALL
  • Rounding or ignoring fractional times seems simpler but causes inaccuracies.
Interviewer Note:
CONTEXT
  • Evaluates understanding of algorithm robustness with non-integer inputs.
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