diff --git a/src/machine_learning/search_algorithms/best_first/best_first.h b/src/machine_learning/search_algorithms/best_first/best_first.h
index 3677a991..5618e376 100644
--- a/src/machine_learning/search_algorithms/best_first/best_first.h
+++ b/src/machine_learning/search_algorithms/best_first/best_first.h
@@ -1,5 +1,5 @@
-#ifndef BEST_FIRST_H 
-#define BEST_FIRST_H 
+#ifndef BEST_FIRST_H
+#define BEST_FIRST_H
 
 #ifdef __cplusplus
 #include <iostream>
@@ -13,9 +13,9 @@
 */
 template <typename T> class best_first{
 private:
-  std::unordered_map<T, std::vector<std::pair<T, double> > > adj; 
+  std::unordered_map<T, std::vector<std::pair<T, double> > > adj;
   std::unordered_map<T, double> nodes;
-  
+
 public:
 
   /**
@@ -39,7 +39,7 @@ template <typename T> class best_first{
       std::cerr << e.what() << '\n';
     }
   }
-  
+
   /**
   * @brief insert_node function
   * @param u: the node ID
@@ -67,7 +67,7 @@ template <typename T> class best_first{
     }
     return false;
   }
- 
+
   /**
    * @brief add_edge function
    * @param u: the first node
@@ -86,7 +86,7 @@ template <typename T> class best_first{
       std::cerr << e.what() << '\n';
     }
   }
-  
+
   /**
    * @brief search function
    * @param start: starting node
@@ -124,4 +124,3 @@ template <typename T> class best_first{
 
 
 #endif
-
diff --git a/src/machine_learning/search_algorithms/hill_climbing/hill_climbing.h b/src/machine_learning/search_algorithms/hill_climbing/hill_climbing.h
index f890acf8..bf40d46a 100644
--- a/src/machine_learning/search_algorithms/hill_climbing/hill_climbing.h
+++ b/src/machine_learning/search_algorithms/hill_climbing/hill_climbing.h
@@ -14,22 +14,26 @@
 */
 template <typename T> class hill_climbing{
 private:
-  std::unordered_map<T, std::vector<std::pair<T, double> > > adj; 
+  std::unordered_map<T, std::vector<std::pair<T, double> > > adj;
   std::unordered_map<T, double> nodes;
-  
+
 public:
 
   /**
    * @brief hill_climbing constructor
-   * @param v: unordered_map<T, pair<T, int64_t> > initializer vector. Default = {}
-   *
+   * @param v: unordered_map<T, pair<T, double> > initializer vector. Default = {}
+   * @param nodes: unordered_map<T, double> initializer values for the nodes. Default = {}
    */
-  explicit hill_climbing(std::unordered_map<T, std::vector<std::pair<T, double> > > v = {}){
-    if(!v.empty()){
+  explicit hill_climbing(std::unordered_map<T, std::vector<std::pair<T, double> > > v = {},
+                         std::unordered_map<T, double> nodes = {}){
+    if(!v.empty()) {
       this->adj = v;
     }
+    if(!nodes.empty()) {
+        this->nodes = nodes;
+    }
   }
-  
+
   /**
   * @brief insert_node function
   * @param u: the node ID
@@ -57,7 +61,7 @@ template <typename T> class hill_climbing{
     }
     return false;
   }
- 
+
   /**
    * @brief add_edge function
    * @param u: the first node
@@ -76,7 +80,7 @@ template <typename T> class hill_climbing{
       std::cerr << e.what() << '\n';
     }
   }
-  
+
   /**
    * @brief search function
    * @param start: starting node
diff --git a/tests/machine_learning/search_algorithms/best_first.cc b/tests/machine_learning/search_algorithms/best_first.cc
index e59fc011..e282ecb5 100644
--- a/tests/machine_learning/search_algorithms/best_first.cc
+++ b/tests/machine_learning/search_algorithms/best_first.cc
@@ -13,6 +13,22 @@ TEST_CASE("testing edges with insertion for best first class"){
   REQUIRE(h.has_edge(0, 3) == false);
 }
 
+TEST_CASE("Testing default constructor of best first with passed adjacency list") {
+    std::unordered_map<int, std::vector<std::pair<int, double> > > adj;
+    std::unordered_map<int, double> nodes;
+
+    nodes[0] = INT_MAX;
+    nodes[1] = 10;
+    nodes[2] = 20;
+    nodes[3] = 10;
+
+    adj[0].push_back({1, nodes[1]});
+
+    best_first<int> h(adj, nodes);
+    REQUIRE(h.has_edge(0, 1) == true);
+    REQUIRE(h.has_edge(0, 3) == false);
+    REQUIRE(h.has_edge(1, 0) == false);
+}
 
 TEST_CASE("testing search function for best_first class"){
   best_first<char> h;
@@ -52,3 +68,19 @@ TEST_CASE("testing search function for best_first class"){
 }
 
 
+TEST_CASE("Testing throws on add_edge for best first function") {
+    std::unordered_map<int, std::vector<std::pair<int, double> > > adj;
+    std::unordered_map<int, double> nodes;
+
+    nodes[0] = INT_MAX;
+    nodes[1] = 10;
+    nodes[2] = 20;
+    nodes[3] = 10;
+
+    adj[0].push_back({1, nodes[1]});
+
+    best_first<int> h(adj, nodes);
+
+    CHECK_NOTHROW(h.add_edge(10, 20));
+    CHECK_NOTHROW(h.add_edge(0, 1));
+}
diff --git a/tests/machine_learning/search_algorithms/hill_climbing.cc b/tests/machine_learning/search_algorithms/hill_climbing.cc
index 42afcdf0..19ee08e7 100644
--- a/tests/machine_learning/search_algorithms/hill_climbing.cc
+++ b/tests/machine_learning/search_algorithms/hill_climbing.cc
@@ -13,6 +13,23 @@ TEST_CASE("testing edges with insertion for hill climbing class"){
   REQUIRE(h.has_edge(0, 3) == false);
 }
 
+TEST_CASE("Testing default constructor of hill climbing") {
+    std::unordered_map<int, double> node;
+    std::unordered_map<int, std::vector<std::pair<int, double> > > adj;
+
+    node[0] = INT_MAX;
+    node[1] = 10;
+    node[2] = 20;
+    node[3] = 10;
+
+    adj[0].push_back({1, node[1]});
+
+    hill_climbing<int> h(adj, node);
+
+    REQUIRE(h.has_edge(0, 1) == true);
+    REQUIRE(h.has_edge(0, 3) == false);
+}
+
 TEST_CASE("testing search function for hill climbing class"){
   hill_climbing<char> h;
   h.insert_node('s', INT_MAX);
@@ -49,5 +66,3 @@ TEST_CASE("testing search function for hill climbing class"){
 
   REQUIRE(h2.search('s', 'G') == false);
 }
-
-