diff --git a/input/gtsp-m10-n100-s181.in b/input/gtsp-m10-n100-s181.in
new file mode 100644
index 0000000..f540e7f
--- /dev/null
+++ b/input/gtsp-m10-n100-s181.in
@@ -0,0 +1,101 @@
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diff --git a/input/gtsp-m100-n100-s183.in b/input/gtsp-m100-n100-s183.in
new file mode 100644
index 0000000..44fe77c
--- /dev/null
+++ b/input/gtsp-m100-n100-s183.in
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diff --git a/input/gtsp-m20-n100-s155.in b/input/gtsp-m20-n100-s155.in
new file mode 100644
index 0000000..08798eb
--- /dev/null
+++ b/input/gtsp-m20-n100-s155.in
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diff --git a/input/gtsp-m50-n100-s193.in b/input/gtsp-m50-n100-s193.in
new file mode 100644
index 0000000..878bd5b
--- /dev/null
+++ b/input/gtsp-m50-n100-s193.in
@@ -0,0 +1,101 @@
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diff --git a/input/gtsp-m50-n250-s164.in b/input/gtsp-m50-n250-s164.in
new file mode 100644
index 0000000..ff05f9b
--- /dev/null
+++ b/input/gtsp-m50-n250-s164.in
@@ -0,0 +1,251 @@
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diff --git a/src/gtsp.c b/src/gtsp.c
index c8c89e4..6594238 100644
--- a/src/gtsp.c
+++ b/src/gtsp.c
@@ -10,7 +10,7 @@
 #include "gtsp-subtour.h"
 #include "gtsp-comb.h"
 
-int large_neighborhood_search(int *tour, struct GTSP *data, int *tour_cost);
+int large_neighborhood_search(struct Tour *tour, struct GTSP *data, int *tour_cost);
 
 int build_edge_map(struct GTSP *gtsp, int *edge_map);
 
@@ -497,16 +497,34 @@ int GTSP_solution_found(struct BNC *bnc, struct GTSP *data, double *x)
     UNUSED(bnc);
 
     int rval = 0;
-
+	int tour_cost;
     char filename[100];
-
+	double *best_val = &bnc->best_obj_val;
+	
+	struct Tour* tour;
+	tour = (struct Tour*) malloc(data->cluster_count*sizeof(struct Tour));
+	 
     sprintf(filename, "tmp/gtsp-m%d-n%d-s%d.out", data->cluster_count,
             data->graph->node_count, SEED);
 
     log_info("Writting solution to file %s\n", filename);
     rval = GTSP_write_solution(data, filename, x);
     abort_if(rval, "GTSP_write_solution failed");
-
+	
+	
+	rval = build_tour_from_x(data,tour,x);
+	abort_if(rval, "build_tour_from_x failed");
+
+	rval = large_neighborhood_search(tour, data, &tour_cost);
+	abort_if(rval, "large_neighborhood_search failed");
+		
+	if(tour_cost  + LP_EPSILON < *best_val){
+		log_info("Local search improve the integral solution\n");
+		log_info("         obj val = %f\n",*best_val );
+		log_info("         after LNS = %d\n",tour_cost );
+		*best_val = tour_cost;
+	}
+	 
     log_info("Checking solution...\n");
     rval = GTSP_check_solution(data, x);
     abort_if(rval, "GTSP_check_solution failed");
@@ -807,7 +825,7 @@ int GTSP_main(int argc, char **argv)
     return rval;
 }
 
-int build_x_from_tour(struct GTSP *data, int *tour, double *x)
+int build_x_from_tour(struct GTSP *data, struct Tour *tour, double *x)
 {
     int rval = 0;
     int *edge_map = 0;
@@ -824,10 +842,14 @@ int build_x_from_tour(struct GTSP *data, int *tour, double *x)
     for (int i = 0; i < node_count + edge_count; i++)
         x[i] = 0.0;
 
+	int next_vertex = tour[0].next;
+	int current_vertex = tour[0].vertex;
     for (int i = 0; i < data->cluster_count; i++)
     {
-        int from = tour[i];
-        int to = tour[i + 1];
+        int from = current_vertex; 
+        int to = tour[next_vertex].vertex;
+        current_vertex = tour[next_vertex].vertex;
+        next_vertex = tour[next_vertex].next;
 
         x[from] = 1.0;
         x[to] = 1.0;
@@ -842,14 +864,14 @@ int build_x_from_tour(struct GTSP *data, int *tour, double *x)
 int inital_tour_value(struct GTSP *data, int *tour_cost, double *x)
 {
     int rval = 0;
-
+	
     int cluster_count = data->cluster_count;
 
-    int *tour = 0;
+    struct Tour *tour = 0;
     int *uncovered_sets = 0;
     int *cluster_in_tour = 0;
 
-    tour = (int *) malloc((cluster_count + 1) * sizeof(int));
+    tour = (struct Tour *) malloc((cluster_count + 1) * sizeof(struct Tour));
     uncovered_sets = (int *) malloc((cluster_count - 1) * sizeof(int));
     cluster_in_tour = (int *) malloc(cluster_count * sizeof(int));
     abort_if(!tour, "could not allocate tour");
@@ -863,49 +885,86 @@ int inital_tour_value(struct GTSP *data, int *tour_cost, double *x)
         if (data->node_to_cluster[0] != i)
         {
             uncovered_sets[cluster_num] = i;
-            cluster_num += 1;
+            cluster_num ++;
         }
     }
 
-    int new_vertex = 1;
-    tour[0] = 0;
+    int new_vertex = 1, cost;
+    
+    tour[0].vertex = 0;
     cluster_in_tour[0] = 1;
-
+	
     while (new_vertex < data->cluster_count)
     {
-        int min_vertex = -1;
+        int min_dist_vertex = -1;
         int min_cost = INT_MAX;
-
+		
         for (int i = 1; i < data->graph->node_count; i++)
         {
-            if (!cluster_in_tour[data->node_to_cluster[i]])
-            {
-                for (int k = 0; k < new_vertex; k++)
-                {
-                    int cost = data->dist_matrix[i][tour[k]];
-                    if (cost < min_cost)
-                    {
-                        min_cost = cost;
-                        min_vertex = i;
-                    }
-                }
-            }
+            if (cluster_in_tour[data->node_to_cluster[i]]) continue;
+            
+			for (int k = 0; k < new_vertex; k++)
+			{
+				cost = data->dist_matrix[i][tour[k].vertex];
+				if (cost < min_cost)
+				{ min_cost = cost;
+				  min_dist_vertex = i;
+				}
+			}
         }
-
-        assert(min_vertex >= 0);
-
-        tour[new_vertex] = min_vertex;
-        cluster_in_tour[data->node_to_cluster[min_vertex]] = 1;
+		
+        assert(min_dist_vertex >= 0);
+		int cluster_to_insert = data->node_to_cluster[min_dist_vertex];
+		cluster_in_tour[cluster_to_insert] = 1;
+		
+		min_cost = INT_MAX;
+		
+		int insertion_cost = -1, best_pose = -1, best_vertex = -1;
+			
+		for (int k=0 ; k < data->clusters[cluster_to_insert].size; k++){
+			for(int j = 0; j < new_vertex; j++){
+				int vertex_to_insert = data->clusters[cluster_to_insert].nodes[k];
+				if (new_vertex ==1){
+					int vertex1 = tour[0].vertex; 
+					insertion_cost = data->dist_matrix[vertex_to_insert][vertex1] 
+					+ data->dist_matrix[vertex1][vertex_to_insert];
+				}else{
+				int vertex1 = tour[j].vertex;
+				int vertex2 = tour[tour[j].next].vertex;
+				insertion_cost = data->dist_matrix[vertex1][vertex_to_insert] 
+					+ data->dist_matrix[vertex_to_insert][vertex2] - 
+					data->dist_matrix[vertex1][vertex2];	 
+				}
+				if(insertion_cost < min_cost){
+					min_cost = insertion_cost;
+					best_pose = j;
+					best_vertex = vertex_to_insert;
+				}
+			}
+		}
+		
+		tour[new_vertex].vertex = best_vertex;
+		tour[new_vertex].prev = best_pose;
+		
+		if (new_vertex ==1){
+			tour[new_vertex].next = best_pose;
+			tour[best_pose].prev = new_vertex;
+		}else{
+			int temp_vertex = tour[best_pose].next;
+			tour[new_vertex].next = temp_vertex;
+			tour[temp_vertex].prev = new_vertex;
+		}
+		tour[best_pose].next = new_vertex;
+		
         new_vertex += 1;
     }
 
-    tour[data->cluster_count] = 0;
+    tour[data->cluster_count].vertex = 0;
+	
 
     rval = large_neighborhood_search(tour, data, tour_cost);
     abort_if(rval, "large_neighborhood_search failed");
 
-    //tour_cost = optimize_vertex_in_cluster(tour, data);
-
     log_info("Initial upper-bound: %d \n", *tour_cost);
 
     rval = build_x_from_tour(data, tour, x);
@@ -989,47 +1048,30 @@ int two_opt(struct Tour *tour, struct GTSP *data)
     return 0;
 }
 
-int large_neighborhood_search(int *tour, struct GTSP *data, int *tour_cost)
+int large_neighborhood_search(struct Tour *tour, struct GTSP *data, int *tour_cost)
 {
     int rval = 0;
-    struct Tour *vertex_seq = 0;
 
     int cluster_count = data->cluster_count;
     int *clusters = data->node_to_cluster;
     int **dist_matrix = data->dist_matrix;
     struct Cluster *vertex_set = data->clusters;
-
-    vertex_seq = (struct Tour *) malloc(cluster_count * sizeof(struct Tour));
-    abort_if(!vertex_seq, "could not allocate vertex_seq");
-
-    //Construct the list
-    for (int i = 0; i < cluster_count; i++)
-    {
-        vertex_seq[i].vertex = tour[i];
-        if (i == 0)
-            vertex_seq[i].prev = cluster_count - 1;
-        else
-            vertex_seq[i].prev = i - 1;
-
-        if (i == cluster_count - 1)
-            vertex_seq[i].next = 0;
-        else
-            vertex_seq[i].next = i + 1;
-    }
-
+	
     //LNS starts
-    for (int iter = 0; iter < 1000; iter++)
+    for (int iter = 0; iter < 2000; iter++)
     {
-        //Delete a vertex
+        //Delete a random vertex
+        
         int delete_vertex = rand() % (cluster_count - 1) + 1;
+        
+		
+        int prev_vertex = tour[delete_vertex].prev;
+        int next_vertex = tour[delete_vertex].next;
 
-        int prev_vertex = vertex_seq[delete_vertex].prev;
-        int next_vertex = vertex_seq[delete_vertex].next;
-
-        vertex_seq[prev_vertex].next = next_vertex;
-        vertex_seq[next_vertex].prev = prev_vertex;
+        tour[prev_vertex].next = next_vertex;
+        tour[next_vertex].prev = prev_vertex;
 
-        int cluster_to_insert = clusters[vertex_seq[delete_vertex].vertex];
+        int cluster_to_insert = clusters[tour[delete_vertex].vertex];
 
         int best_pose = -1;
         int best_vertex = -1;
@@ -1039,11 +1081,11 @@ int large_neighborhood_search(int *tour, struct GTSP *data, int *tour_cost)
         {
             int vertex_to_insert = vertex_set[cluster_to_insert].nodes[i];
 
-            int next_edge = vertex_seq[0].next;
+            int next_edge = tour[0].next;
             for (int j = 1; j < cluster_count; j++)
             {
-                int vertex1 = vertex_seq[next_edge].vertex;
-                int vertex2 = vertex_seq[vertex_seq[next_edge].next].vertex;
+                int vertex1 = tour[next_edge].vertex;
+                int vertex2 = tour[tour[next_edge].next].vertex;
 
                 int insert_cost = dist_matrix[vertex1][vertex_to_insert] +
                         dist_matrix[vertex_to_insert][vertex2] -
@@ -1056,31 +1098,34 @@ int large_neighborhood_search(int *tour, struct GTSP *data, int *tour_cost)
                     best_vertex = vertex_to_insert;
                 }
 
-                next_edge = vertex_seq[next_edge].next;
+                next_edge = tour[next_edge].next;
             }
         }
 
         assert(best_pose >= 0);
         assert(best_vertex >= 0);
 
-        next_vertex = vertex_seq[best_pose].next;
-        vertex_seq[delete_vertex].prev = best_pose;
-        vertex_seq[delete_vertex].vertex = best_vertex;
-        vertex_seq[delete_vertex].next = next_vertex;
-        vertex_seq[best_pose].next = delete_vertex;
-        vertex_seq[next_vertex].prev = delete_vertex;
-
-        rval = optimize_vertex_in_cluster(vertex_seq, data);
+        next_vertex = tour[best_pose].next;
+        tour[delete_vertex].prev = best_pose;
+        tour[delete_vertex].vertex = best_vertex;
+        tour[delete_vertex].next = next_vertex;
+        tour[best_pose].next = delete_vertex;
+        tour[next_vertex].prev = delete_vertex;
+		
+        rval = optimize_vertex_in_cluster(tour, data);
         abort_if(rval, "optimize_vertex_in_cluster failed");
     }
-
-    rval = two_opt(vertex_seq, data);
+    
+	rval = K_opt(tour, data);
     abort_if(rval, "two_opt failed");
-
-    *tour_cost = list_length(vertex_seq, data);
-
+    
+    rval = two_opt(tour, data);
+    abort_if(rval, "two_opt failed");
+   
+    *tour_cost = list_length(tour, data);
+    
     CLEANUP:
-    if (vertex_seq) free(vertex_seq);
+    //if (vertex_seq) free(vertex_seq);
     return rval;
 }
 
@@ -1134,4 +1179,138 @@ void print_list(struct Tour *tour, struct GTSP *data)
     printf("\n");
 }
 
+int K_opt(struct Tour* tour, struct GTSP *data)
+{
+	 
+	int cluster_count = data->cluster_count;
+	int l;
+	
+	for(int i = 0 ; i < cluster_count - 3; i++){
+		int location_in_path = 0;
+			
+		for(int k = 0; k < i; k++)
+			location_in_path = tour[location_in_path].next;
+			
+		int current_vertex = tour[location_in_path].vertex;
+		
+		
+		for(int k = 3; k < cluster_count - i - 2; k++){
+			int first_next_location = tour[location_in_path].next;
+			int first_next_vertex = tour[tour[location_in_path].next].vertex;
+			int next_location = tour[location_in_path].next;
+			for(l = 0; l < k; l++){
+				next_location = tour[next_location].next;
+			}
+			int next_vertex = tour[next_location].vertex;
+			int next_next_location = tour[next_location].next;
+			
+			int next_next_vertex = tour[next_next_location].vertex;
+			
+			if(next_next_vertex == current_vertex) break;
+			
+			int cost1 = data->dist_matrix[current_vertex][first_next_vertex] +
+			 data->dist_matrix[next_vertex][next_next_vertex];
+			int cost2 = data->dist_matrix[current_vertex][next_vertex] +
+			 data->dist_matrix[first_next_vertex][next_next_vertex];
+			
+			if(cost2 < cost1)
+			{
+				int tmp_location = next_location;				
+				for(int m =0 ; m < l + 1; m++)
+				{	
+					int tmp_vertex = tour[tmp_location].next;
+					tour[tmp_location].next = tour[tmp_location].prev; 
+					tour[tmp_location].prev = tmp_vertex;
+					tmp_location = tour[tmp_location].next;		
+				}
+
+				tour[location_in_path].next = next_location;
+				tour[next_location].prev = location_in_path;
+
+				tour[first_next_location].next = next_next_location;
+				
+				tour[next_next_location].prev = first_next_location;
+		
+			}
+		}
+	}
+	return 0;
+}
+
+int build_tour_from_x(struct GTSP *data, struct Tour *tour, double *x)
+{
+	
+    int rval = 0;
+    int *cluster_mark = 0;
+
+    struct Node **stack = 0;
+    int stack_top = 0;
+
+    struct Graph *graph = data->graph;
+    const int node_count = graph->node_count;
+  
+    cluster_mark = (int *) malloc(data->cluster_count * sizeof(int));
+    abort_if(!cluster_mark, "could not allocate cluster_mark");
+
+    stack = (struct Node **) malloc(graph->node_count * sizeof(struct Node *));
+    abort_if(!stack, "could not allocate stack");
+
+    for (int i = 0; i < node_count; i++)
+        graph->nodes[i].mark = 0;
+
+    for (int i = 0; i < data->cluster_count; i++)
+        cluster_mark[i] = 0;
+	
+    int initial;
+    for (initial = 0; initial < node_count; initial++)
+        if (x[initial] > 1.0 - LP_EPSILON) break;
+
+    abort_if(initial == node_count, "no initial node");
+
+    stack[stack_top++] = &graph->nodes[initial];
+    graph->nodes[initial].mark = 1;
+    
+	tour[0].vertex = graph->nodes[initial].index;
+	int next_vertex = 1;
+	
+    while (stack_top > 0)
+    {
+        struct Node *n = stack[--stack_top];
+        cluster_mark[data->node_to_cluster[n->index]]++;
+
+        for (int i = 0; i < n->degree; i++)
+        {
+            struct Adjacency *adj = &n->adj[i];
+            struct Node *neighbor = adj->neighbor;
+
+            if (neighbor->mark) continue;
+            if (x[node_count + adj->edge->index] < LP_EPSILON) continue;
+
+            stack[stack_top++] = neighbor;
+            tour[next_vertex].vertex = neighbor->index;
+			next_vertex++;
+            neighbor->mark = 1;
+            
+        }
+    }
+   
+    
+	for(int i =0; i < data->cluster_count; i++){
+		if(i == 0){
+			tour[i].prev = data->cluster_count - 1;
+		}else{
+			tour[i].prev = i-1;
+		}
+		if(i == data->cluster_count - 1){
+			tour[i].next = 0;
+		}else{
+			tour[i].next = i+1;
+		}	
+	}
+	 
+    CLEANUP:
+    if (stack) free(stack);
+    if (cluster_mark) free(cluster_mark);
+    return rval;
+}
 
diff --git a/src/gtsp.h b/src/gtsp.h
index f69f94d..efa34ba 100644
--- a/src/gtsp.h
+++ b/src/gtsp.h
@@ -52,7 +52,7 @@ int optimize_vertex_in_cluster(struct Tour * tour, struct GTSP *data);
 
 int two_opt(struct Tour * tour, struct GTSP *data);
 
-int K_opt(int* tour, struct GTSP *data);
+int K_opt(struct Tour* tour, struct GTSP *data);
 
 int tour_length(int* tour, struct GTSP* data);
 
@@ -62,5 +62,6 @@ int list_length(struct Tour * tour, struct GTSP* data);
 
 void print_list(struct Tour * tour, struct GTSP* data);
 
+int build_tour_from_x(struct GTSP *data, struct Tour *tour, double *x);
 
 #endif //_PROJECT_GTSP_H_
diff --git a/stats.tab b/stats.tab
new file mode 100644
index 0000000..33580e9
--- /dev/null
+++ b/stats.tab
@@ -0,0 +1,5 @@
+instance              time      subt-t    combs-t   pool-t    pool-m    lp-count  lp-time   lp-rows   lp-cols   init-v    opt-v     root-v    nodes     subt-cc   subt-nc   subt-nn   combs     
+gtsp-m20-n100-s155    0.48      0.00      0.00      0.13      11        9         0.26      760       4785      272       272       272       1         664       0         0         0         
+gtsp-m10-n100-s181    0.27      0.00      0.00      0.04      4         12        0.19      392       4320      179       178       178       1         319       0         0         0         
+gtsp-m100-n100-s183   0.91      0.28      0.00      0.03      3         7         0.04      415       5050      824       745       745       1         211       0         0         4         
+gtsp-m50-n100-s193    3.85      0.48      0.00      1.37      18        29        0.84      1207      4958      561       538       536       11        1723      0         0         7