|
| 1 | +--- |
| 2 | +id: string-without-aaa-or-bbb |
| 3 | +title: String Without AAA or BBB |
| 4 | +sidebar_label: 984-String Without AAA or BBB |
| 5 | +tags: |
| 6 | + - Greedy |
| 7 | + - String |
| 8 | + - LeetCode |
| 9 | + - Java |
| 10 | + - Python |
| 11 | + - C++ |
| 12 | +description: "This is a solution to the String Without AAA or BBB problem on LeetCode." |
| 13 | +sidebar_position: 3 |
| 14 | +--- |
| 15 | + |
| 16 | +## Problem Description |
| 17 | + |
| 18 | +Given two integers `a` and `b`, return any string `s` such that: |
| 19 | + |
| 20 | +- `s` has length `a + b` and contains exactly `a` 'a' letters and exactly `b` 'b' letters. |
| 21 | +- The substring 'aaa' does not occur in `s`. |
| 22 | +- The substring 'bbb' does not occur in `s`. |
| 23 | + |
| 24 | +### Examples |
| 25 | + |
| 26 | +**Example 1:** |
| 27 | + |
| 28 | +``` |
| 29 | +Input: a = 1, b = 2 |
| 30 | +Output: "abb" |
| 31 | +Explanation: "abb", "bab", and "bba" are all correct answers. |
| 32 | +``` |
| 33 | + |
| 34 | +**Example 2:** |
| 35 | + |
| 36 | +``` |
| 37 | +Input: a = 4, b = 1 |
| 38 | +Output: "aabaa" |
| 39 | +``` |
| 40 | + |
| 41 | +### Constraints |
| 42 | + |
| 43 | +- `0 <= a, b <= 100` |
| 44 | +- It is guaranteed that such a string `s` exists for the given `a` and `b`. |
| 45 | + |
| 46 | +--- |
| 47 | + |
| 48 | +## Solution for String Without AAA or BBB Problem |
| 49 | + |
| 50 | +To solve this problem, we need to construct a string of length `a + b` containing exactly `a` 'a' letters and `b` 'b' letters. The key is to ensure that no substring 'aaa' or 'bbb' is formed. |
| 51 | + |
| 52 | +### Approach |
| 53 | + |
| 54 | +1. **Greedy Construction:** |
| 55 | + - Start by determining the majority character (the one with the higher count). |
| 56 | + - Add two of the majority character if more than one remains, followed by one of the minority character. |
| 57 | + - If both characters have equal counts, alternate between the two to avoid 'aaa' or 'bbb'. |
| 58 | + |
| 59 | +2. **Ensure No Consecutive Repetitions:** |
| 60 | + - Keep track of the previous two characters to ensure that adding another of the same character won't create three consecutive identical characters. |
| 61 | + |
| 62 | +### Code in Different Languages |
| 63 | + |
| 64 | +<Tabs> |
| 65 | +<TabItem value="C++" label="C++" default> |
| 66 | +<SolutionAuthor name="@ImmidiSivani"/> |
| 67 | + |
| 68 | +```cpp |
| 69 | +class Solution { |
| 70 | +public: |
| 71 | + string strWithout3a3b(int a, int b) { |
| 72 | + string result; |
| 73 | + while (a > 0 || b > 0) { |
| 74 | + bool writeA = false; |
| 75 | + int n = result.size(); |
| 76 | + if (n >= 2 && result[n - 1] == result[n - 2]) { |
| 77 | + if (result[n - 1] == 'b') { |
| 78 | + writeA = true; |
| 79 | + } |
| 80 | + } else { |
| 81 | + if (a >= b) { |
| 82 | + writeA = true; |
| 83 | + } |
| 84 | + } |
| 85 | + |
| 86 | + if (writeA) { |
| 87 | + result += 'a'; |
| 88 | + --a; |
| 89 | + } else { |
| 90 | + result += 'b'; |
| 91 | + --b; |
| 92 | + } |
| 93 | + } |
| 94 | + return result; |
| 95 | + } |
| 96 | +}; |
| 97 | +``` |
| 98 | + |
| 99 | +</TabItem> |
| 100 | +<TabItem value="Java" label="Java"> |
| 101 | +<SolutionAuthor name="@ImmidiSivani"/> |
| 102 | + |
| 103 | +```java |
| 104 | +class Solution { |
| 105 | + public String strWithout3a3b(int a, int b) { |
| 106 | + StringBuilder result = new StringBuilder(); |
| 107 | + while (a > 0 || b > 0) { |
| 108 | + boolean writeA = false; |
| 109 | + int n = result.length(); |
| 110 | + if (n >= 2 && result.charAt(n - 1) == result.charAt(n - 2)) { |
| 111 | + if (result.charAt(n - 1) == 'b') { |
| 112 | + writeA = true; |
| 113 | + } |
| 114 | + } else { |
| 115 | + if (a >= b) { |
| 116 | + writeA = true; |
| 117 | + } |
| 118 | + } |
| 119 | + |
| 120 | + if (writeA) { |
| 121 | + result.append('a'); |
| 122 | + --a; |
| 123 | + } else { |
| 124 | + result.append('b'); |
| 125 | + --b; |
| 126 | + } |
| 127 | + } |
| 128 | + return result.toString(); |
| 129 | + } |
| 130 | +} |
| 131 | +``` |
| 132 | + |
| 133 | +</TabItem> |
| 134 | +<TabItem value="Python" label="Python"> |
| 135 | +<SolutionAuthor name="@ImmidiSivani"/> |
| 136 | + |
| 137 | +```python |
| 138 | +class Solution: |
| 139 | + def strWithout3a3b(self, a: int, b: int) -> str: |
| 140 | + result = [] |
| 141 | + while a > 0 or b > 0: |
| 142 | + writeA = False |
| 143 | + if len(result) >= 2 and result[-1] == result[-2]: |
| 144 | + if result[-1] == 'b': |
| 145 | + writeA = True |
| 146 | + else: |
| 147 | + if a >= b: |
| 148 | + writeA = True |
| 149 | + |
| 150 | + if writeA: |
| 151 | + result.append('a') |
| 152 | + a -= 1 |
| 153 | + else: |
| 154 | + result.append('b') |
| 155 | + b -= 1 |
| 156 | + |
| 157 | + return ''.join(result) |
| 158 | +``` |
| 159 | + |
| 160 | +</TabItem> |
| 161 | +</Tabs> |
| 162 | + |
| 163 | +#### Complexity Analysis |
| 164 | + |
| 165 | +- **Time Complexity**: $O(a + b)$, where `a` and `b` are the counts of 'a' and 'b' respectively. We iterate through each character once. |
| 166 | +- **Space Complexity**: $O(a + b)$, for storing the result string. |
| 167 | + |
| 168 | +--- |
| 169 | + |
| 170 | +<h2>Authors:</h2> |
| 171 | + |
| 172 | +<div style={{display: 'flex', flexWrap: 'wrap', justifyContent: 'space-between', gap: '10px'}}> |
| 173 | +{['ImmidiSivani'].map(username => ( |
| 174 | + <Author key={username} username={username} /> |
| 175 | +))} |
| 176 | +</div> |
| 177 | +``` |
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