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If the input list contains decimal numbers (e.g., 3.1, 30.14), which approach correctly adapts the largest number formation algorithm?

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Greedy Algorithms - Largest Number (Arrange to Form Biggest)
If the input list contains decimal numbers (e.g., 3.1, 30.14), which approach correctly adapts the largest number formation algorithm?
ASort decimals numerically descending and concatenate
BRound decimals to integers before sorting and concatenation
CConvert decimals to strings and compare concatenations as usual
DIgnore decimal parts and sort integer parts only
Step-by-Step Solution
Solution:
  1. Step 1: Convert decimals to strings

    Decimals can be treated as strings for concatenation comparison.
  2. Step 2: Use custom comparator

    Compare concatenations xy and yx as strings to decide order.
  3. Step 3: Avoid rounding or ignoring decimals

    Rounding or ignoring decimals changes values and breaks correctness.
  4. Final Answer:

    Option C -> Option C
  5. Quick Check:

    String concatenation comparison works for decimals too [OK]
Quick Trick: Treat decimals as strings and compare concatenations [OK]
Common Mistakes:
MISTAKES
  • Rounding decimals loses precision
  • Sorting numerically ignores concatenation order
  • Ignoring decimal parts changes values
Trap Explanation:
PITFALL
  • Rounding or ignoring decimals seems simpler but breaks correctness.
Interviewer Note:
CONTEXT
  • Tests ability to extend algorithm to handle decimal inputs correctly.
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