Question
- Given a string
s
, find the length of the longest substring without repeating characters.
Example
- 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.
My attempt
Attempt 1 (fail at last two case, exceed time limit)
- algorithm
>Find the length of the longest substring without repeating characters.
initialise the length_of_s equals to length of s
initialise the length_list_of_sub_string to the empty string
define a find_and_record_substring program:
initialise seen_string as an empty string
initialise seen_dictionary as an empty dictionary
initialise the length equals to 0
for each character in s:
if the charcter do not found in seen_string:
add the character to seen_string
otherwise:
initialise the length equals to length of seen_string
update seen_dictionary with length as key, seen_string as value
set seen_string to empty string
add the character to seen_string
return the maximum of the key of the dictionary
>>find and record each substring without repeating characters in the string s
repeat the find_and_record_substring program for the length of s times:
add the result of find_and_record_substring program to length_list_of_sub_string
set s to a s that remove the first character
>>return the longest substring without repeating characters
return longest length equals to the maximum of length_list_of_sub_string
- code
class Solution:
def lengthOfLongestSubstring(self, s: str) -> int:
length_of_s = len(s)
length_list_of_sub_string = []
# program to find each substring without repeating characters in the string
def find_and_record_substring(str1: str):
seen_string = ""
seen_dict = {}
for char in str1:
if char not in seen_string:
seen_string += char
# if char found in seen_string
else:
# add the current seen_string to dict first
length_of_seen_string = len(seen_string)
seen_dict.update({length_of_seen_string: seen_string})
# clear the seen_string and continue to build seen_string
seen_string = ""
seen_string += char
# should add the current seen_string to dict
length_of_seen_string = len(seen_string)
seen_dict.update({length_of_seen_string: seen_string})
longest_length = max(seen_dict.keys())
return longest_length
if s == "":
return 0
while length_of_s != 0:
length_list_of_sub_string.append(find_and_record_substring(s))
# remove the first charcter of s
s = s[1::]
# update the length of s
length_of_s = len(s)
return max(length_list_of_sub_string)
Attempt 2 (success)
- basically the same way as the above , but add a function to find the upper limit of a substring that is equal to the number of unique character in the string s.
- and when any substring reach the upper limit, the function will not go any forward and return the substring length instead
- code
class Solution:
def lengthOfLongestSubstring(self, s: str) -> int:
length_of_s = len(s)
length_list_of_sub_string = []
temp_max = 0
def longest(str1):
set1 = set(str1)
return len(set1)
max_limit = longest(s)
def find_and_record_substring(str1: str):
seen_string = ""
seen_dict = {}
for char in str1:
if char not in seen_string:
seen_string += char
else:
length_of_seen_string = len(seen_string)
seen_dict.update({length_of_seen_string: seen_string})
seen_string = ""
seen_string += char
length_of_seen_string = len(seen_string)
seen_dict.update({length_of_seen_string: seen_string})
longest_length = max(seen_dict.keys())
return longest_length
if s == "":
return 0
while length_of_s != 0 and temp_max < length_of_s and temp_max < max_limit:
length_list_of_sub_string.append(find_and_record_substring(s))
s = s[1::]
length_of_s = len(s)
temp_max = max(length_list_of_sub_string)
return max(length_list_of_sub_string)
Other solution
- a much faster solution on Red Crack
def lengthOfLongestSubstring(s: str) -> int:
# Base condition
if s == "":
return 0
# Starting index of window
start = 0
# Ending index of window
end = 0
# Maximum length of substring without repeating characters
maxLength = 0
# Set to store unique characters
unique_characters = set()
# Loop for each character in the string
while end < len(s):
if s[end] not in unique_characters:
unique_characters.add(s[end])
end += 1
maxLength = max(maxLength, len(unique_characters))
else:
unique_characters.remove(s[start])
start += 1
return maxLength
My reflection
- so I learn a new algorithm today called Sliding Window Algorithm.
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