# JavaScript: Find the Longest Substring Without Repeating Characters

**Problem**: Given a string, find the length of the **longest substring** without repeating characters.

Examples:

- Given
`"abcabcbb"`

, the answer is`"abc"`

- Given
`"bbbbb"`

, the answer is`"b"`

- Given
`"stackoverflow"`

, the answer is`"stackoverfl"`

This is a version of the Longest common subsequence problem.

## Brute Force

A **Brute Force** approach is to loop through the string twice, checking every substring against every other substring and finding the maximum length where the substring is unique. We’ll need two functions: one to check if a substring is unique and a second function to perform our double loop.

```
const allUnique = str => {
const set = [...new Set(str)];
return (set.length === str.length) ? true: false;
}
const lengthOfLongestSubstring = str => {
let result = 0,
maxResult = 0;
for (let i=0; i<str.length-1; i++) {
for (let j=i+1; j<str.length; j++) {
if (allUnique(str.substring(i, j))) {
result = str.substring(i, j).length;
if (result > maxResult) {
maxResult = result;
}
}
}
return maxResult;
}
}
```

The resulting time complexity is `O(n^3)`

since `lengthOfLongestSubstring`

uses two loops which is `O(n^2)`

and `allUnique`

also uses one loop `O(n)`

each time.

## Greedy Approach

A better approach is to loop through only once and keep track of the maximum unique substring length as we go. We can use either an array or a hash map, but I think the new .includes() array method is cool, so let’s use that.

```
// O(n) time, O(1) space
const lengthOfLongestSubstring = str => {
let result = [],
maxResult = 0;
for (let i=0; i<str.length; i++) {
if (!result.includes(str[i])) {
result.push(str[i]);
} else {
maxResult = i;
}
}
return maxResult;
}
```

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