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