import java.util.*;
 
class Solution {
    public int lengthOfLIS(int[] nums) {
        int n = nums.length;
        int[] dp = new int[n];
        int[] parent = new int[n]; // to reconstruct the sequence
        Arrays.fill(dp, 1);
        Arrays.fill(parent, -1);
 
        int maxLen = 1;
        int lastIndex = 0;
 
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < i; j++) {
                if (nums[j] < nums[i] && dp[j] + 1 > dp[i]) {
                    dp[i] = dp[j] + 1;
                    parent[i] = j;
                }
            }
 
            if (dp[i] > maxLen) {
                maxLen = dp[i];
                lastIndex = i;
            }
        }
 
        // Reconstruct LIS
        List<Integer> lis = new ArrayList<>();
        while (lastIndex != -1) {
            lis.add(nums[lastIndex]);
            lastIndex = parent[lastIndex];
        }
        Collections.reverse(lis);
 
        System.out.println("LIS: " + lis); // 🖨️ Print LIS
        return maxLen;
    }
}