notes/OJ notes/pages/Leetcode Longest-Substring-Without-Repeating-Characters.md
2022-09-03 15:41:36 +08:00

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# Leetcode Longest-Substring-Without-Repeating-Characters
#### 2022-07-14 09:33
> ##### Algorithms:
>
> #algorithm #Kadane_s_algorithm #sliding_window
>
> ##### Data structures:
>
> #DS #string
>
> ##### Difficulty:
>
> #coding_problem #difficulty-medium
>
> ##### Additional tags:
>
> #leetcode
>
> ##### Revisions:
>
> N/A
##### Related topics:
##### Links:
- [Link to problem](https://leetcode.com/problems/longest-substring-without-repeating-characters/)
---
### Problem
Given a string `s`, find the length of the **longest substring** without repeating characters.
#### Examples
**Example 1:**
**Input:** s = "abcabcbb"
**Output:** 3
**Explanation:** The answer is "abc", with the length of 3.
**Example 2:**
**Input:** s = "bbbbb"
**Output:** 1
**Explanation:** The answer is "b", with the length of 1.
**Example 3:**
**Input:** s = "pwwkew"
**Output:** 3
**Explanation:** The answer is "wke", with the length of 3.
Notice that the answer must be a substring, "pwke" is a subsequence and not a substring.
#### Constraints
- `0 <= s.length <= 5 * 104`
- `s` consists of English letters, digits, symbols and spaces.
### Thoughts
> [!summary]
> This is a #Kadane_s_algorithm
Initially, I thought of a kadane's algo, but implemented wrong.
Then I figured out kadane's algorithm.
similar to this one.
[[Leetcode Best-Time-To-Buy-And-Sell-Stock]]
The goal is making cur as small as possible, without duplicating
And the localMax is max(localMax, i - cur)
### Solution
Kadane's algorithm
```cpp
class Solution {
public:
int lengthOfLongestSubstring(string s) {
// Kadane's algorithm
vector<int> hMap(255, -1);
int cur = -1;
int localMax = 0;
for (int i = 0; i < s.length(); i++) {
if (hMap[s[i]] > cur) {
// If the element occurs again, reset
cur = hMap[s[i]];
}
hMap[s[i]] = i;
// The char at cur is ignored
localMax = max(localMax, i - cur);
}
return localMax;
}
};
```
Initial solution
```cpp
class Solution {
public:
int lengthOfLongestSubstring(string s) {
unordered_map<char, int> hMap;
int cur = 0;
int localMax = 0;
for (int i = 0; i < s.size(); i++) {
if (hMap.find(s[i]) == hMap.end()) {
cur++;
localMax = max(cur, localMax);
hMap[s[i]] = i;
} else {
i = hMap[s[i]];
hMap.clear();
cur = 0;
}
}
return localMax;
}
};
```