Longest increasing subsequence
import java.util.*;
public class LongestIncreasingSubsequence {
public static void Print(int dp[][]) {
for (int i = 0; i < dp.length; i++) {
for (int j = 0; j < dp[0].length; j++) {
System.out.print(dp[i][j] + " ");
}
System.out.println();
}
System.out.println();
}
public static int lcs(int arr[], int arr2[]) {
int dp[][] = new int[arr.length + 1][arr2.length + 1];
for (int i = 1; i < arr.length + 1; i++) {
for (int j = 1; j < arr2.length + 1; j++) {
if (arr[i - 1] == arr2[j - 1]) {
dp[i][j] = dp[i - 1][j - 1] + 1;
} else {
int ans1 = dp[i - 1][j];
int ans2 = dp[i][j - 1];
dp[i][j] = Math.max(ans1, ans2);
}
}
}
Print(dp);
return dp[arr.length][arr2.length];
}
public static int lis(int arr[]) {
HashSet<Integer> set = new HashSet<>();
for (int i = 0; i < arr.length; i++) {
set.add(arr[i]);
}
int arr2[] = new int[arr.length];
int i = 0;
for (int num : set) {
arr2[i] = num;
i++;
}
Arrays.sort(arr2);
return lcs(arr, arr2);
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.println("Enter size of array:");
int n = sc.nextInt();
int arr[] = new int[n];
System.out.println("Enter array:");
for (int i = 0; i < arr.length; i++) {
arr[i] = sc.nextInt();
}
System.out.println("The length of longest increasing subsequence is: " + lis(arr));
}
}
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