标签:point har sequence http interview mon opera pre string
Problem statement:
Given two strings, find the longest common subsequence (LCS).
Your code should return the length of LCS.
What‘s the definition of Longest Common Subsequence?
For "ABCD"
and "EDCA"
, the LCS is "A"
(or "D"
, "C"
), return 1
.
For "ABCD"
and "EACB"
, the LCS is "AC"
, return 2
.
Solution:
This is a DP problem for two sequences. Such as 72. Edit Distance and 583. Delete Operation for Two Strings.
The key points is also dp[i][j] means the LCS of first i chars in A and first j char in B, and return dp[m][n]
class Solution { public: /** * @param A, B: Two strings. * @return: The length of longest common subsequence of A and B. */ int longestCommonSubsequence(string A, string B) { // write your code here int m = A.size(); int n = B.size(); vector<vector<int>> dp(m + 1, vector<int>(n + 1, 0)); for (int i = 1; i <= m; i++) { for (int j = 1; j <= n; j++) { if (A[i - 1] == B[j - 1]) { dp[i][j] = dp[i - 1][j - 1] + 1; } else { dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]); } } } return dp[m][n]; } };
标签:point har sequence http interview mon opera pre string
原文地址:http://www.cnblogs.com/wdw828/p/6858799.html