# 1035. Uncrossed Lines

We write the integers of A and B (in the order they are given) on two separate horizontal lines.

Now, we may draw  connecting lines : a straight line connecting two numbers A[i] and B[j] such that:

• A[i] == B[j];
• The line we draw does not intersect any other connecting (non-horizontal) line.

Note that a connecting lines cannot intersect even at the endpoints: each number can only belong to one connecting line.

Return the maximum number of connecting lines we can draw in this way.

Example 1:

Input: A = [1,4,2], B = [1,2,4]
Output: 2
Explanation: We can draw 2 uncrossed lines as in the diagram.
We cannot draw 3 uncrossed lines, because the line from A[1]=4 to B[2]=4 will intersect the line from A[2]=2 to B[1]=2.

Example 2:

Input: A = [2,5,1,2,5], B = [10,5,2,1,5,2]
Output: 3

Example 3:

Input: A = [1,3,7,1,7,5], B = [1,9,2,5,1]
Output: 2

Note:

1. 1 <= A.length <= 500
2. 1 <= B.length <= 500
3. 1 <= A[i], B[i] <= 2000

class Solution {
public:
int maxUncrossedLines(vector<int>& A, vector<int>& B) {
int m = A.size(), n = B.size();
vector<vector<int>> dp(m + 1, vector<int>(n + 1));
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];
}
};

Github 同步地址:

https://github.com/grandyang/leetcode/issues/1035

Longest Palindromic Subsequence

Delete Operation for Two Strings

Longest Common Subsequence

https://leetcode.com/problems/uncrossed-lines/

https://leetcode.com/problems/uncrossed-lines/discuss/310367/Java-DP-Explained

https://leetcode.com/problems/uncrossed-lines/discuss/282842/JavaC%2B%2BPython-DP-The-Longest-Common-Subsequence

LeetCode All in One 题目讲解汇总(持续更新中…)

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