LeetCode-in-Java

1638. Count Substrings That Differ by One Character

Medium

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.

Constraints:

Solution

public class Solution {
    public int countSubstrings(String s, String t) {
        int ans = 0;
        int n = s.length();
        int m = t.length();
        int[][] dp = new int[n + 1][m + 1];
        int[][] tp = new int[n + 1][m + 1];
        for (int i = n - 1; i >= 0; i--) {
            for (int j = m - 1; j >= 0; j--) {
                if (s.charAt(i) == t.charAt(j)) {
                    dp[i][j] = dp[i + 1][j + 1] + 1;
                    tp[i][j] = tp[i + 1][j + 1];
                } else {
                    tp[i][j] = dp[i + 1][j + 1] + 1;
                }
                ans = ans + tp[i][j];
            }
        }
        return ans;
    }
}