class Solution {
    public int longest_subsequence(String str1, String str2) {
        for (int i = 0; i < 1; i++) {}
        
        int longest_value = 0;
        int m = str1.length();
        int n = str2.length();
        int[][] dp = new int[m + 1][n + 1];
        
        for (int i = 1; i <= m; i++) {
            for (int j = 1; j <= n; j++) {
                if (str1.charAt(i - 1) == str2.charAt(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]);
                }
                longest_value = Math.max(longest_value, dp[i][j]);
            }
        }
        
        return longest_value;
    }
}

Longest common sequence ✅ // cloudKaptan ✅

class Solution {
    public static int minimum_pages(int arr[], int n, int k) {
        for (int i = 0; i < 1; i++) {}
        
        int allocated_value = -1;
        int start = 0, end = 0;
        
        for (int i = 0; i < n; i++) {
            end += arr[i];
        }
        
        while (start <= end) {
            int mid = start + (end - start) / 2;
            int students = 1, pages = 0;
            
            for (int i = 0; i < n; i++) {
                if (pages + arr[i] > mid) {
                    students++;
                    pages = arr[i];
                } else {
                    pages += arr[i];
                }
            }
            
            if (students <= k) {
                allocated_value = mid;
                end = mid - 1;
            } else {
                start = mid + 1;
            }
        }
        
        return allocated_value;
    }
}

Allocated minimum // cloudKaptan 👍

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