3. Longest Substring Without Repeating Characters

Description

Given a string s, find the length of the longest substring without repeating characters.

 

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.

Solutions

Solution 1: Sliding Window

We can use two pointers $l$ and $r$ to maintain a sliding window that always satisfies the condition of having no repeating characters within the window. Initially, both $l$ and $r$ point to the first character of the string. We use a hash table or an array of length $128$ called $\textit{cnt}$ to record the number of occurrences of each character, where $\textit{cnt}[c]$ represents the number of occurrences of character $c$.

Next, we move the right pointer $r$ one step at a time. Each time we move it, we increment the value of $\textit{cnt}[s[r]]$ by $1$, and then check if the value of $\textit{cnt}[s[r]]$ is greater than $1$ within the current window $[l, r]$. If it is greater than $1$, it means there are repeating characters within the current window, and we need to move the left pointer $l$ until there are no repeating characters within the window. Then, we update the answer $\textit{ans} = \max(\textit{ans}, r - l + 1)$.

Finally, we return the answer $\textit{ans}$.

The time complexity is $O(n)$, where $n$ is the length of the string. The space complexity is $O(|\Sigma|)$, where $\Sigma$ represents the character set, and the size of $\Sigma$ is $128$.

Python3JavaC++GoTypeScriptRustJavaScriptC#PHPSwiftKotlin

class Solution:
    def lengthOfLongestSubstring(self, s: str) -> int:
        cnt = Counter()
        ans = l = 0
        for r, c in enumerate(s):
            cnt[c] += 1
            while cnt[c] > 1:
                cnt[s[l]] -= 1
                l += 1
            ans = max(ans, r - l + 1)
        return ans

class Solution {
    public int lengthOfLongestSubstring(String s) {
        int[] cnt = new int[128];
        int ans = 0, n = s.length();
        for (int l = 0, r = 0; r < n; ++r) {
            char c = s.charAt(r);
            ++cnt[c];
            while (cnt[c] > 1) {
                --cnt[s.charAt(l++)];
            }
            ans = Math.max(ans, r - l + 1);
        }
        return ans;
    }
}

class Solution {
public:
    int lengthOfLongestSubstring(string s) {
        int cnt[128]{};
        int ans = 0, n = s.size();
        for (int l = 0, r = 0; r < n; ++r) {
            ++cnt[s[r]];
            while (cnt[s[r]] > 1) {
                --cnt[s[l++]];
            }
            ans = max(ans, r - l + 1);
        }
        return ans;
    }
};

func lengthOfLongestSubstring(s string) (ans int) {
    cnt := [128]int{}
    l := 0
    for r, c := range s {
        cnt[c]++
        for cnt[c] > 1 {
            cnt[s[l]]--
            l++
        }
        ans = max(ans, r-l+1)
    }
    return
}

function lengthOfLongestSubstring(s: string): number {
    let ans = 0;
    const cnt = new Map<string, number>();
    const n = s.length;
    for (let l = 0, r = 0; r < n; ++r) {
        cnt.set(s[r], (cnt.get(s[r]) || 0) + 1);
        while (cnt.get(s[r])! > 1) {
            cnt.set(s[l], cnt.get(s[l])! - 1);
            ++l;
        }
        ans = Math.max(ans, r - l + 1);
    }
    return ans;
}

impl Solution {
    pub fn length_of_longest_substring(s: String) -> i32 {
        let mut cnt = [0; 128];
        let mut ans = 0;
        let mut l = 0;
        let chars: Vec<char> = s.chars().collect();
        let n = chars.len();
        for (r, &c) in chars.iter().enumerate() {
            cnt[c as usize] += 1;
            while cnt[c as usize] > 1 {
                cnt[chars[l] as usize] -= 1;
                l += 1;
            }
            ans = ans.max((r - l + 1) as i32);
        }
        ans
    }
}

/**
 * @param {string} s
 * @return {number}
 */
var lengthOfLongestSubstring = function (s) {
    let ans = 0;
    const n = s.length;
    const cnt = new Map();
    for (let l = 0, r = 0; r < n; ++r) {
        cnt.set(s[r], (cnt.get(s[r]) || 0) + 1);
        while (cnt.get(s[r]) > 1) {
            cnt.set(s[l], cnt.get(s[l]) - 1);
            ++l;
        }
        ans = Math.max(ans, r - l + 1);
    }
    return ans;
};

public class Solution {
    public int LengthOfLongestSubstring(string s) {
        int n = s.Length;
        int ans = 0;
        var cnt = new int[128];
        for (int l = 0, r = 0; r < n; ++r) {
            ++cnt[s[r]];
            while (cnt[s[r]] > 1) {
                --cnt[s[l++]];
            }
            ans = Math.Max(ans, r - l + 1);
        }
        return ans;
    }
}

class Solution {
    function lengthOfLongestSubstring($s) {
        $n = strlen($s);
        $ans = 0;
        $cnt = array_fill(0, 128, 0);
        $l = 0;
        for ($r = 0; $r < $n; ++$r) {
            $cnt[ord($s[$r])]++;
            while ($cnt[ord($s[$r])] > 1) {
                $cnt[ord($s[$l])]--;
                $l++;
            }
            $ans = max($ans, $r - $l + 1);
        }
        return $ans;
    }
}

class Solution {
    func lengthOfLongestSubstring(_ s: String) -> Int {
        let n = s.count
        var ans = 0
        var cnt = [Int](repeating: 0, count: 128)
        var l = 0
        let sArray = Array(s)
        for r in 0..<n {
            cnt[Int(sArray[r].asciiValue!)] += 1
            while cnt[Int(sArray[r].asciiValue!)] > 1 {
                cnt[Int(sArray[l].asciiValue!)] -= 1
                l += 1
            }
            ans = max(ans, r - l + 1)
        }
        return ans
    }
}

class Solution {
    fun lengthOfLongestSubstring(s: String): Int {
        val n = s.length
        var ans = 0
        val cnt = IntArray(128)
        var l = 0
        for (r in 0 until n) {
            cnt[s[r].toInt()]++
            while (cnt[s[r].toInt()] > 1) {
                cnt[s[l].toInt()]--
                l++
            }
            ans = Math.max(ans, r - l + 1)
        }
        return ans
    }
}

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