#984
String Without AAA or BBB
MediumStringGreedyGreedyTwo Pointers
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(n) |
💡
Intuition
Time O(n)Space O(n)
The optimal approach uses a greedy strategy to construct the string directly by ensuring that we never create three consecutive 'a's or 'b's. This is efficient and avoids unnecessary checks.
⚙️
Algorithm
4 steps- 1Step 1: Initialize an empty result string.
- 2Step 2: While there are still 'a's or 'b's left, append 'a' or 'b' to the result based on their counts.
- 3Step 3: If appending 'a' would create 'aaa', append 'b' instead, and vice versa.
- 4Step 4: Continue until all 'a's and 'b's are used.
solution.py24 lines
1def generate_string(a, b):
2 result = []
3 while a > 0 or b > 0:
4 if a > b:
5 if a > 1:
6 result.append('aa')
7 a -= 2
8 else:
9 result.append('a')
10 a -= 1
11 if b > 0:
12 result.append('b')
13 b -= 1
14 else:
15 if b > 1:
16 result.append('bb')
17 b -= 2
18 else:
19 result.append('b')
20 b -= 1
21 if a > 0:
22 result.append('a')
23 a -= 1
24 return ''.join(result)ℹ
Complexity note: The time complexity is O(n) since we are constructing the string in a single pass, and the space complexity is O(n) for the resulting string.
- 1Using a greedy approach allows us to construct the string without backtracking.
- 2Maintaining the balance between 'a's and 'b's helps avoid invalid substrings.
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