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Posts tagged as “suffix”

KMP Algorithm SP19

KMP Algorithm, KMP 字符串搜索算法

Time complexity: O(m+n)
Space complexity: O(m)

Implementation

C++

Python3

Applications

LeetCode 28. strStr()

C++

LeetCode 459. Repeated Substring Pattern

C++

1392. Longest Happy Prefix

C++

花花酱 LeetCode 1163. Last Substring in Lexicographical Order

Given a string s, return the last substring of s in lexicographical order.

Example 1:

Input: "abab"
Output: "bab"
Explanation: The substrings are ["a", "ab", "aba", "abab", "b", "ba", "bab"]. The lexicographically maximum substring is "bab".

Example 2:

Input: "leetcode"
Output: "tcode"

Note:

  1. 1 <= s.length <= 10^5
  2. s contains only lowercase English letters.

Key observation: The last substring must be a suffix of the original string, can’t a substring in the middle since we can always extend it.
e.g. leetcode -> tcode, can’t be “t”, “tc”, “tco”, “tcod”

Solution 1: Brute Force

Try all possible suffixes.
Time complexity: O(n^2)
Space complexity: O(1)

C++

Solution 2: Keep max and compare with candidates

Find the first largest letter as a starting point, whenever there is a same letter, keep it as a candidate and compare with the current best. If the later is larger, take over the current best.

e.g. “acbacbc”

“c” > “a”, the first “c” becomes the best.
“c” = “c”, the second “c” becomes a candidate
starting compare best and candidate.
“cb” = “cb”
“cba” < “cbc”, cand_i is the new best.

Time complexity: O(n)
Space complexity: O(1)

C++

花花酱 LeetCode 820. Short Encoding of Words

Problem

Given a list of words, we may encode it by writing a reference string S and a list of indexes A.

For example, if the list of words is ["time", "me", "bell"], we can write it as S = "time#bell#" and indexes = [0, 2, 5].

Then for each index, we will recover the word by reading from the reference string from that index until we reach a “#” character.

What is the length of the shortest reference string S possible that encodes the given words?

Example:

Input: words = ["time", "me", "bell"] Output: 10 Explanation: S = "time#bell#" and indexes = [0, 2, 5].

Note:

  1. 1 <= words.length <= 2000.
  2. 1 <= words[i].length <= 7.
  3. Each word has only lowercase letters.

Idea

Remove all the words that are suffix of other words.

Solution

Time complexity: O(n*l^2)

Space complexity: O(n*l)

 

花花酱 LeetCode 745. Prefix and Suffix Search

Link: https://leetcode.com/problems/prefix-and-suffix-search/description/

Problem:

Given many wordswords[i] has weight i.

Design a class WordFilter that supports one function, WordFilter.f(String prefix, String suffix). It will return the word with given prefix and suffix with maximum weight. If no word exists, return -1.

Examples:

Note:

  1. words has length in range [1, 15000].
  2. For each test case, up to words.length queries WordFilter.f may be made.
  3. words[i] has length in range [1, 10].
  4. prefix, suffix have lengths in range [0, 10].
  5. words[i] and prefix, suffix queries consist of lowercase letters only.

Idea:

Construct all possible filters

 

Solution1:

C++

Time complexity: O(NL^3 + QL)  where N is the number of words, L is the max length of the word, Q is the number of queries.

Space complexity: O(NL^3)

Version #2

Solution 2:

C++ / Trie

Time complexity: O(NL^2 + QL)  where N is the number of words, L is the max length of the word, Q is the number of queries.

Space complexity: O(NL^2)

Related Problems: