added LIS in c

DP/LongestIncreasingSubsequence/LIS.c

@@ -0,0 +1,62 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+typedef struct node{
+	int data;
+	struct node* next;
+}node;
+
+node* append(node* head,int d){
+	node *temp=NULL;
+	temp=(node *)malloc(sizeof(node));
+	temp->data=d;
+	temp->next=NULL;
+	if(head==NULL){
+		head=temp;
+		return head;
+	}
+	temp->next=head;
+	return temp;
+}
+
+void printReverse(node* head){
+    if (head->next==NULL)
+       return;
+    printReverse(head->next);
+    printf("%d  ", head->data);
+}
+
+int main(void) {
+    int n,i,j;
+    scanf("%d",&n);
+    int a[n],lis[n];
+    for(i=0;i<n;i++){
+        scanf("%d",&a[i]);
+        lis[i]=1;
+    }
+    node *head[n];
+    for(i=0;i<n;i++){
+			head[i]=NULL;
+			head[i]=(node *)malloc(sizeof(node));
+	        head[i]=append(head[i],a[i]);
+    }
+	for(i=1;i<n;i++){
+	    for(j=0;j<i;j++){
+	        if(a[i]>a[j] && lis[i]<lis[j]+1){
+	            lis[i]=lis[j]+1;
+                head[i]=append(head[j],a[i]);
+	        }
+	    }
+	}
+	int max=0,index=0;
+	for (i=0;i<n;i++){
+        if (max<lis[i]){
+            max=lis[i];
+            index=i;            
+        }
+    }
+    // printf("%d %d\n",max,index);
+    printReverse(head[index]);
+	printf("\n");
+	return 0;
+}