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1143. Longest Common Subsequence
Medium
292138Add to ListShareGiven two strings text1 and text2, return the length of their longest common subsequence. If there is no common subsequence, return 0.
A subsequence of a string is a new string generated from the original string with some characters (can be none) deleted without changing the relative order of the remaining characters.
- For example,
"ace"is a subsequence of"abcde".
A common subsequence of two strings is a subsequence that is common to both strings.
Example 1:
Input: text1 = "abcde", text2 = "ace" Output: 3 Explanation: The longest common subsequence is "ace" and its length is 3.
Example 2:
Input: text1 = "abc", text2 = "abc" Output: 3 Explanation: The longest common subsequence is "abc" and its length is 3.
Example 3:
Input: text1 = "abc", text2 = "def" Output: 0 Explanation: There is no such common subsequence, so the result is 0.
Constraints:
1 <= text1.length, text2.length <= 1000text1andtext2consist of only lowercase English characters.
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Show Hint 1
Try dynamic programming.
DP[i][j] represents the longest common subsequence of text1[0 ... i] & text2[0 ... j].
Show Hint 2
DP[i][j] = DP[i - 1][j - 1] + 1 , if text1[i] == text2[j]
DP[i][j] = max(DP[i - 1][j], DP[i][j - 1]) , otherwise