Intervals - Car Pooling
Given the following partial difference array after processing trips: diff = [0, 2, 0, 3, 0, -2, 0, -3], what could be the original trips input?
Given the following partial difference array after processing trips: diff = [0, 2, 0, 3, 0, -2, 0, -3], what could be the original trips input?
hard🔄 Reverse Engineer Q9 of Q15
Step-by-Step Solution
Solution:
Step 1: Analyze increments and decrements
diff[1]=+2 and diff[5]=-2 correspond to trip with 2 passengers from 1 to 5.Step 2: Analyze second trip
diff[3]=+3 and diff[7]=-3 correspond to trip with 3 passengers from 3 to 7.Final Answer:
Option B -> Option BQuick Check:
Diff array matches increments and decrements of [[2,1,5],[3,3,7]] trips [OK]
Quick Trick: Match increments and decrements to trip start and end locations [OK]
Common Mistakes:
MISTAKES- Mixing start and end indices
- Ignoring passenger counts in diff array
Trap Explanation:
PITFALL- Candidates often confuse which diff indices correspond to which trip boundaries.
Interviewer Note:
CONTEXT- Tests deep understanding of difference array construction and reverse engineering input.
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