#412
Fizz Buzz
EasyMathStringSimulationString manipulationConditional statements
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n) | O(n) |
| Space | O(n) | O(n) |
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Intuition
Time O(n)Space O(n)
The optimal solution is actually the same as the brute force approach in terms of logic, but we can optimize our checks by using a single loop and directly appending results based on the conditions. This is efficient and clear.
⚙️
Algorithm
4 steps- 1Step 1: Initialize an empty list to store the results.
- 2Step 2: Loop through each number from 1 to n.
- 3Step 3: Use a single conditional statement to check if the number is divisible by both 3 and 5, then check for 3, then for 5, and finally append the number if none match.
- 4Step 4: Return the results list.
solution.py10 lines
1def fizzBuzz(n):
2 result = []
3 for i in range(1, n + 1):
4 output = ''
5 if i % 3 == 0:
6 output += 'Fizz'
7 if i % 5 == 0:
8 output += 'Buzz'
9 result.append(output or str(i))
10 return resultℹ
Complexity note: The time complexity remains O(n) as we still iterate through all numbers from 1 to n. The space complexity is O(n) since we store n results in the output list.
- 1Understanding divisibility is crucial for this problem.
- 2Using string concatenation can simplify the logic.
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