Description
Given a string, find the length of the longest substring without repeating characters.
Example 1:
Input: "abcabcbb"
Output: 3
Explanation: The answer is "abc", with the length of 3.
Example 2:
Input: "bbbbb"
Output: 1
Explanation: The answer is "b", with the length of 1.
Example 3:
Input: "pwwkew" Output: 3 Explanation: The answer is"wke", with the length of 3. Note that the answer must be a substring,"pwke"is a subsequence and not a substring.
Submission
I used an array bucket to mark all the possible characters in ASCII table. This method is generally called Sliding Window.
There are several special cases as the following:
"": 0 " ": 1
class Solution {
public int lengthOfLongestSubstring(String s) {
int beg = 0, end = 0;
int longest_beg = 0, longest_end = 0;
int [] bucket = new int[256];
int longest_len = 1;
if(s.length() == 0) {
return 0;
}
for(; end < s.length(); end++) {
bucket[s.charAt(end)]++;
if(bucket[s.charAt(end)] == 2) {
int curr_len = end - beg;
if(curr_len > longest_len) {
longest_len = curr_len;
}
// remove the ones at the front
while(bucket[s.charAt(end)] == 2) {
bucket[s.charAt(beg)]--;
beg++;
}
} else {
int curr_len = end - beg + 1;
if(curr_len > longest_len) longest_len = curr_len;
}
}
return longest_len;
}
}
Solutions
Approach 1: Brute Force
This is a naive solution that for all the substrings of the string, check if there’s a repeated character. If there is, it should be discarded. It’s O(N^3).
public class Solution {
public int lengthOfLongestSubstring(String s) {
int n = s.length();
int ans = 0;
for (int i = 0; i < n; i++)
for (int j = i + 1; j <= n; j++)
if (allUnique(s, i, j)) ans = Math.max(ans, j - i);
return ans;
}
public boolean allUnique(String s, int start, int end) {
Set<Character> set = new HashSet<>();
for (int i = start; i < end; i++) {
Character ch = s.charAt(i);
if (set.contains(ch)) return false;
set.add(ch);
}
return true;
}
}
Approach 2: Sliding Window
This approach applies sliding window using HashSet instead of an array.
public class Solution {
public int lengthOfLongestSubstring(String s) {
int n = s.length();
Set<Character> set = new HashSet<>();
int ans = 0, i = 0, j = 0;
while (i < n && j < n) {
// try to extend the range [i, j]
if (!set.contains(s.charAt(j))){
set.add(s.charAt(j++));
ans = Math.max(ans, j - i);
}
else {
set.remove(s.charAt(i++));
}
}
return ans;
}
}
Approach 3: Sliding Window Optimized
public class Solution {
public int lengthOfLongestSubstring(String s) {
int n = s.length(), ans = 0;
Map<Character, Integer> map = new HashMap<>(); // current index of character
// try to extend the range [i, j]
for (int j = 0, i = 0; j < n; j++) {
if (map.containsKey(s.charAt(j))) {
i = Math.max(map.get(s.charAt(j)), i);
}
ans = Math.max(ans, j - i + 1);
map.put(s.charAt(j), j + 1);
}
return ans;
}
}
Submission 210731
class Solution {
public:
int lengthOfLongestSubstring(string s) {
map<char, int> cnt;
int ret = 0;
for(int i = 0, j = 0; i < s.length() && j < s.length(); ++j) {
if(++cnt[s[j]] == 2) {
while(s[i] != s[j]) {
--cnt[s[i]];
++i;
}
--cnt[s[i]];
++i;
}
ret = max(ret, j - i + 1);
}
return ret;
}
};
