花花酱 LeetCode 1638. Count Substrings That Differ by One Character

Given two strings s and t, find the number of ways you can choose a non-empty substring of s and replace a single character by a different character such that the resulting substring is a substring of t. In other words, find the number of substrings in s that differ from some substring in t by exactly one character.

For example, the underlined substrings in "computer" and "computation" only differ by the 'e'/'a', so this is a valid way.

Return the number of substrings that satisfy the condition above.

A substring is a contiguous sequence of characters within a string.

Example 1:

Input: s = "aba", t = "baba"
Output: 6
Explanation: The following are the pairs of substrings from s and t that differ by exactly 1 character:
("aba", "baba")
("aba", "baba")
("aba", "baba")
("aba", "baba")
("aba", "baba")
("aba", "baba")
The underlined portions are the substrings that are chosen from s and t.

​​Example 2:

Input: s = "ab", t = "bb"
Output: 3
Explanation: The following are the pairs of substrings from s and t that differ by 1 character:
("ab", "bb")
("ab", "bb")
("ab", "bb")
​​​​The underlined portions are the substrings that are chosen from s and t.

Example 3:

Input: s = "a", t = "a"
Output: 0

Example 4:

Input: s = "abe", t = "bbc"
Output: 10

Constraints:

• 1 <= s.length, t.length <= 100
• s and t consist of lowercase English letters only.

Solution1: All Pairs + Prefix Matching

match s[i:i+p] with t[j:j+p], is there is one missed char, increase the ans, until there are two miss matched chars or reach the end.

Time complexity: O(m*n*min(m,n))
Space complexity: O(1)

Solution 2: Continuous Matching

Start matching s[0] with t[j] and s[i] with t[0]

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