#2525
Categorize Box According to Criteria
EasyMathConditional StatementsArithmetic Operations
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(1) | O(1) |
| Space | O(1) | O(1) |
💡
Intuition
Time O(1)Space O(1)
The optimal solution is similar to the brute-force approach but emphasizes clarity and efficiency. We check conditions in a straightforward manner without unnecessary calculations.
⚙️
Algorithm
4 steps- 1Step 1: Check if any dimension is greater than or equal to 10^4.
- 2Step 2: If not, calculate the volume and check if it is greater than or equal to 10^9.
- 3Step 3: Check if the mass is greater than or equal to 100.
- 4Step 4: Return the appropriate category based on the results.
solution.py13 lines
1def categorize_box(length, width, height, mass):
2 bulky = length >= 10**4 or width >= 10**4 or height >= 10**4
3 if not bulky:
4 bulky = (length * width * height) >= 10**9
5 heavy = mass >= 100
6 if bulky and heavy:
7 return 'Both'
8 elif bulky:
9 return 'Bulky'
10 elif heavy:
11 return 'Heavy'
12 else:
13 return 'Neither'ℹ
Complexity note: Similar to the brute-force approach, the complexity is O(1) since we perform a constant number of checks.
- 1Understanding the conditions for categorization is crucial.
- 2Calculating volume should be done only if necessary to optimize performance.
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