|
| 1 | +--- |
| 2 | +id: longest-substring-with-at |
| 3 | +title: Longest Substring Given At |
| 4 | +sidebar_label: 0159-Longest Substring Given At |
| 5 | +tags: |
| 6 | + - Leet code |
| 7 | +description: "Solution to leetocde 159" |
| 8 | +--- |
| 9 | + |
| 10 | +### Problem Description |
| 11 | + |
| 12 | +Given a string s , find the length of the longest substring t that contains at most 2 distinct characters. |
| 13 | + |
| 14 | +### Examples |
| 15 | + |
| 16 | +**Example 1:** |
| 17 | + |
| 18 | +``` |
| 19 | +Input: "eceba" |
| 20 | +Output: 3 |
| 21 | +Explanation: t is "ece" which its length is 3. |
| 22 | +``` |
| 23 | + |
| 24 | +**Example 2:** |
| 25 | + |
| 26 | +``` |
| 27 | +Input: "ccaabbb" |
| 28 | +Output: 5 |
| 29 | +Explanation: t is "aabbb" which its length is 5. |
| 30 | +``` |
| 31 | + |
| 32 | +Certainly! Below is the complete algorithm with explanations, followed by the implementations in C++, Python, Java, and JavaScript. |
| 33 | + |
| 34 | +### Algorithm |
| 35 | + |
| 36 | +1. **Initialize**: |
| 37 | + |
| 38 | + - A hash map to count characters in the current window. |
| 39 | + - Two pointers, `i` and `j`, to represent the current window. `i` is the right pointer, and `j` is the left pointer. |
| 40 | + - A variable to keep track of the maximum length of the substring. |
| 41 | + |
| 42 | +2. **Expand the Window**: |
| 43 | + |
| 44 | + - Move the right pointer `i` to expand the window. |
| 45 | + - Add the current character to the hash map and update its count. |
| 46 | + |
| 47 | +3. **Shrink the Window if Necessary**: |
| 48 | + |
| 49 | + - If the number of distinct characters in the hash map exceeds 2, move the left pointer `j` to shrink the window until the number of distinct characters is at most 2. |
| 50 | + - Decrease the count of the character at the left pointer `j` in the hash map and remove it if its count becomes 0. |
| 51 | + |
| 52 | +4. **Update the Maximum Length**: |
| 53 | + |
| 54 | + - Update the maximum length of the substring after adjusting the window. |
| 55 | + |
| 56 | +5. **Return the Result**: |
| 57 | + - Return the maximum length of the substring with at most two distinct characters. |
| 58 | + |
| 59 | +### C++ |
| 60 | + |
| 61 | +```cpp |
| 62 | +#include <unordered_map> |
| 63 | +#include <string> |
| 64 | +#include <algorithm> |
| 65 | + |
| 66 | +using namespace std; |
| 67 | + |
| 68 | +class Solution { |
| 69 | +public: |
| 70 | + int lengthOfLongestSubstringTwoDistinct(string s) { |
| 71 | + unordered_map<char, int> cnt; |
| 72 | + int n = s.size(); |
| 73 | + int ans = 0; |
| 74 | + int j = 0; |
| 75 | + |
| 76 | + for (int i = 0; i < n; ++i) { |
| 77 | + cnt[s[i]]++; |
| 78 | + while (cnt.size() > 2) { |
| 79 | + cnt[s[j]]--; |
| 80 | + if (cnt[s[j]] == 0) { |
| 81 | + cnt.erase(s[j]); |
| 82 | + } |
| 83 | + ++j; |
| 84 | + } |
| 85 | + ans = max(ans, i - j + 1); |
| 86 | + } |
| 87 | + |
| 88 | + return ans; |
| 89 | + } |
| 90 | +}; |
| 91 | +``` |
| 92 | + |
| 93 | +### Python |
| 94 | + |
| 95 | +```python |
| 96 | +class Solution: |
| 97 | + def lengthOfLongestSubstringTwoDistinct(self, s: str) -> int: |
| 98 | + from collections import defaultdict |
| 99 | + |
| 100 | + cnt = defaultdict(int) |
| 101 | + n = len(s) |
| 102 | + ans = 0 |
| 103 | + j = 0 |
| 104 | + |
| 105 | + for i in range(n): |
| 106 | + cnt[s[i]] += 1 |
| 107 | + while len(cnt) > 2: |
| 108 | + cnt[s[j]] -= 1 |
| 109 | + if cnt[s[j]] == 0: |
| 110 | + del cnt[s[j]] |
| 111 | + j += 1 |
| 112 | + ans = max(ans, i - j + 1) |
| 113 | + |
| 114 | + return ans |
| 115 | +``` |
| 116 | + |
| 117 | +### Java |
| 118 | + |
| 119 | +```java |
| 120 | +import java.util.HashMap; |
| 121 | + |
| 122 | +public class Solution { |
| 123 | + public int lengthOfLongestSubstringTwoDistinct(String s) { |
| 124 | + HashMap<Character, Integer> cnt = new HashMap<>(); |
| 125 | + int n = s.length(); |
| 126 | + int ans = 0; |
| 127 | + int j = 0; |
| 128 | + |
| 129 | + for (int i = 0; i < n; ++i) { |
| 130 | + cnt.put(s.charAt(i), cnt.getOrDefault(s.charAt(i), 0) + 1); |
| 131 | + while (cnt.size() > 2) { |
| 132 | + cnt.put(s.charAt(j), cnt.get(s.charAt(j)) - 1); |
| 133 | + if (cnt.get(s.charAt(j)) == 0) { |
| 134 | + cnt.remove(s.charAt(j)); |
| 135 | + } |
| 136 | + ++j; |
| 137 | + } |
| 138 | + ans = Math.max(ans, i - j + 1); |
| 139 | + } |
| 140 | + |
| 141 | + return ans; |
| 142 | + } |
| 143 | +} |
| 144 | +``` |
| 145 | + |
| 146 | +### JavaScript |
| 147 | + |
| 148 | +```javascript |
| 149 | +var lengthOfLongestSubstringTwoDistinct = function (s) { |
| 150 | + let cnt = new Map(); |
| 151 | + let n = s.length; |
| 152 | + let ans = 0; |
| 153 | + let j = 0; |
| 154 | + |
| 155 | + for (let i = 0; i < n; ++i) { |
| 156 | + cnt.set(s[i], (cnt.get(s[i]) || 0) + 1); |
| 157 | + while (cnt.size > 2) { |
| 158 | + cnt.set(s[j], cnt.get(s[j]) - 1); |
| 159 | + if (cnt.get(s[j]) === 0) { |
| 160 | + cnt.delete(s[j]); |
| 161 | + } |
| 162 | + ++j; |
| 163 | + } |
| 164 | + ans = Math.max(ans, i - j + 1); |
| 165 | + } |
| 166 | + |
| 167 | + return ans; |
| 168 | +}; |
| 169 | +``` |
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