Longest Increasing Subsequence

Dynamic Programming/LongestIncreasingSubsequence.java

@@ -0,0 +1,42 @@
+import java.util.ArrayList;
+import java.util.List;
+
+public class LIS {
+    public static int lowerBound(List<Integer> a, int low, int high, int element){
+        while(low < high){
+            int middle = low + (high - low)/2;
+            if(element > a.get(middle))
+                low = middle + 1;
+            else
+                high = middle;
+        }
+        return low;
+    }
+
+    public static int upperBound(List<Integer> a, int low, int high, int element){
+        while(low < high){
+            int middle = low + (high - low)/2;
+            if(a.get(middle) > element)
+                high = middle;
+            else
+                low = middle + 1;
+        }
+        return low;
+    }
+
+    public static int longestIncreasingSubsequence(List<Integer> a){
+        //equals included then upperbound
+        // else lower bound use as required
+        ArrayList<Integer> ans = new ArrayList<>();
+        for(int i=0;i<a.size();i++){
+            int x = lowerBound(ans,0,ans.size(),a.get(i));
+            if(x+1>ans.size()){
+                ans.add(a.get(i));
+            }
+            else
+            ans.set(x,a.get(i));
+        }
+        return ans.size();
+    }
+
+}