代码随想录训练营第三十期|第五十三天|动态规划part14|● 1143.最长公共子序列 ● 1035.不相交的线 ● 53. 最大子序和 动态规划

1143. 最长公共子序列 - 力扣（LeetCode）

class Solution {
    public int longestCommonSubsequence(String text1, String text2) {
        int[][] dp = new int[text1.length() + 1][text2.length() + 1];
        dp[0][0] = 0;
        for (int i = 1; i <= text1.length(); i++) {
            char c1 = text1.charAt(i - 1);
            for (int j = 1; j <= text2.length(); j++) {
                char c2 = text2.charAt(j - 1);
                if (c1 == c2) {
                    dp[i][j] = dp[i - 1][j - 1] + 1;
                } else {
                    dp[i][j] = Math.max(dp[i][j - 1], dp[i - 1][j]);
                }
            }
        }
        return dp[text1.length()][text2.length()];
    }
}

1035. 不相交的线 - 力扣（LeetCode）

class Solution {
    public int maxUncrossedLines(int[] nums1, int[] nums2) {
        int n1 = nums1.length;
        int n2 = nums2.length;

        int[][] dp = new int[n1 + 1][n2 + 1];
        for (int i = 1; i <= nums1.length; i++) {
            for (int j = 1; j <= nums2.length; j++) {
                if (nums1[i - 1] == nums2[j - 1]) {
                    dp[i][j] = dp[i - 1][j - 1] + 1;
                } else {
                    dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]);
                }
            }
        }
        return dp[n1][n2];
    }
}

53. 最大子数组和 - 力扣（LeetCode）

class Solution {
    public int maxSubArray(int[] nums) {
        if (nums.length == 0) return 0;
        int[] dp = new int[nums.length];
        dp[0] = nums[0];
        int res = dp[0];
        for (int i = 1; i < nums.length; i++) {
            dp[i] = Math.max(dp[i - 1] + nums[i], nums[i]);
            res = Math.max(res, dp[i]);
        }
        return res;
    }
}