diff --git a/.idea/workspace.xml b/.idea/workspace.xml
index f54d405b94bf16855fa3c4d8c364ae884e24e560..bb531f69abadcfa1e3a61ebf9e06f9e852c14421 100644
--- a/.idea/workspace.xml
+++ b/.idea/workspace.xml
@@ -11,15 +11,8 @@
   <component name="ChangeListManager">
     <list default="true" id="43aff179-c306-46b9-b69f-eca5306fbf96" name="Default Changelist" comment="">
       <change beforePath="$PROJECT_DIR$/.idea/workspace.xml" beforeDir="false" afterPath="$PROJECT_DIR$/.idea/workspace.xml" afterDir="false" />
-      <change beforePath="$PROJECT_DIR$/Box.o" beforeDir="false" />
-      <change beforePath="$PROJECT_DIR$/Star.o" beforeDir="false" />
-      <change beforePath="$PROJECT_DIR$/Vector.o" beforeDir="false" />
-      <change beforePath="$PROJECT_DIR$/galaxy.o" beforeDir="false" />
-      <change beforePath="$PROJECT_DIR$/galaxy_simulation.c" beforeDir="false" afterPath="$PROJECT_DIR$/galaxy_simulation.c" afterDir="false" />
-      <change beforePath="$PROJECT_DIR$/galaxy_simulation.o" beforeDir="false" />
-      <change beforePath="$PROJECT_DIR$/makefile" beforeDir="false" afterPath="$PROJECT_DIR$/makefile" afterDir="false" />
+      <change beforePath="$PROJECT_DIR$/Box.h" beforeDir="false" afterPath="$PROJECT_DIR$/Box.h" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/quad_tree.c" beforeDir="false" afterPath="$PROJECT_DIR$/quad_tree.c" afterDir="false" />
-      <change beforePath="$PROJECT_DIR$/quad_tree.h" beforeDir="false" afterPath="$PROJECT_DIR$/quad_tree.h" afterDir="false" />
     </list>
     <option name="EXCLUDED_CONVERTED_TO_IGNORED" value="true" />
     <option name="SHOW_DIALOG" value="false" />
@@ -32,8 +25,8 @@
       <file pinned="false" current-in-tab="false">
         <entry file="file://$PROJECT_DIR$/Box.c">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="272">
-              <caret line="55" column="40" lean-forward="true" selection-start-line="55" selection-start-column="40" selection-end-line="55" selection-end-column="40" />
+            <state relative-caret-position="85">
+              <caret line="44" selection-start-line="44" selection-end-line="50" selection-end-column="1" />
             </state>
           </provider>
         </entry>
@@ -41,8 +34,8 @@
       <file pinned="false" current-in-tab="false">
         <entry file="file://$PROJECT_DIR$/Box.h">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="204">
-              <caret line="12" column="26" selection-start-line="12" selection-start-column="26" selection-end-line="12" selection-end-column="26" />
+            <state relative-caret-position="187">
+              <caret line="11" column="37" selection-start-line="11" selection-start-column="37" selection-end-line="11" selection-end-column="37" />
             </state>
           </provider>
         </entry>
@@ -83,29 +76,29 @@
           </provider>
         </entry>
       </file>
-      <file pinned="false" current-in-tab="false">
-        <entry file="file://$PROJECT_DIR$/galaxy_simulation.c">
+      <file pinned="false" current-in-tab="true">
+        <entry file="file://$PROJECT_DIR$/quad_tree.c">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="68">
-              <caret line="4" column="21" selection-start-line="4" selection-start-column="21" selection-end-line="4" selection-end-column="21" />
+            <state relative-caret-position="155">
+              <caret line="10" column="4" selection-start-line="10" selection-start-column="4" selection-end-line="10" selection-end-column="4" />
             </state>
           </provider>
         </entry>
       </file>
       <file pinned="false" current-in-tab="false">
-        <entry file="file://$PROJECT_DIR$/quad_tree.c">
+        <entry file="file://$PROJECT_DIR$/quad_tree.h">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="153">
-              <caret line="9" column="49" selection-start-line="9" selection-start-column="49" selection-end-line="9" selection-end-column="49" />
+            <state relative-caret-position="238">
+              <caret line="14" column="35" selection-start-line="14" selection-start-column="35" selection-end-line="14" selection-end-column="35" />
             </state>
           </provider>
         </entry>
       </file>
-      <file pinned="false" current-in-tab="true">
-        <entry file="file://$PROJECT_DIR$/quad_tree.h">
+      <file pinned="false" current-in-tab="false">
+        <entry file="file://$PROJECT_DIR$/galaxy_simulation.c">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="238">
-              <caret line="14" column="35" selection-start-line="14" selection-start-column="35" selection-end-line="14" selection-end-column="35" />
+            <state relative-caret-position="68">
+              <caret line="4" column="21" selection-start-line="4" selection-start-column="21" selection-end-line="4" selection-end-column="21" />
             </state>
           </provider>
         </entry>
@@ -113,8 +106,8 @@
       <file pinned="false" current-in-tab="false">
         <entry file="file://$PROJECT_DIR$/makefile">
           <provider selected="true" editor-type-id="text-editor">
-            <state relative-caret-position="51">
-              <caret line="3" column="71" selection-start-line="3" selection-start-column="71" selection-end-line="3" selection-end-column="71" />
+            <state relative-caret-position="119">
+              <caret line="7" lean-forward="true" selection-start-line="7" selection-end-line="7" />
             </state>
           </provider>
         </entry>
@@ -133,14 +126,14 @@
         <option value="$PROJECT_DIR$/Vector.c" />
         <option value="$PROJECT_DIR$/Star.c" />
         <option value="$PROJECT_DIR$/Star.h" />
-        <option value="$PROJECT_DIR$/Box.h" />
         <option value="$PROJECT_DIR$/galaxy.h" />
         <option value="$PROJECT_DIR$/galaxy.c" />
         <option value="$PROJECT_DIR$/galaxy_simulation.c" />
         <option value="$PROJECT_DIR$/Box.c" />
         <option value="$PROJECT_DIR$/makefile" />
-        <option value="$PROJECT_DIR$/quad_tree.c" />
         <option value="$PROJECT_DIR$/quad_tree.h" />
+        <option value="$PROJECT_DIR$/Box.h" />
+        <option value="$PROJECT_DIR$/quad_tree.c" />
       </list>
     </option>
   </component>
@@ -198,12 +191,12 @@
       <option name="presentableId" value="Default" />
       <updated>1559227081243</updated>
       <workItem from="1559227084365" duration="53793000" />
-      <workItem from="1560336527698" duration="32701000" />
+      <workItem from="1560336527698" duration="37316000" />
     </task>
     <servers />
   </component>
   <component name="TimeTrackingManager">
-    <option name="totallyTimeSpent" value="86494000" />
+    <option name="totallyTimeSpent" value="91109000" />
   </component>
   <component name="ToolWindowManager">
     <frame x="-7" y="-7" width="1550" height="838" extended-state="6" />
@@ -274,6 +267,13 @@
         </state>
       </provider>
     </entry>
+    <entry file="file://$PROJECT_DIR$/galaxy.c">
+      <provider selected="true" editor-type-id="text-editor">
+        <state>
+          <caret selection-end-line="4" selection-end-column="17" />
+        </state>
+      </provider>
+    </entry>
     <entry file="file://$PROJECT_DIR$/Star.h">
       <provider selected="true" editor-type-id="text-editor">
         <state relative-caret-position="340">
@@ -281,31 +281,31 @@
         </state>
       </provider>
     </entry>
-    <entry file="file://$PROJECT_DIR$/Box.h">
+    <entry file="file://$PROJECT_DIR$/Box.c">
       <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="204">
-          <caret line="12" column="26" selection-start-line="12" selection-start-column="26" selection-end-line="12" selection-end-column="26" />
+        <state relative-caret-position="85">
+          <caret line="44" selection-start-line="44" selection-end-line="50" selection-end-column="1" />
         </state>
       </provider>
     </entry>
-    <entry file="file://$PROJECT_DIR$/Box.c">
+    <entry file="file://$PROJECT_DIR$/Box.h">
       <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="272">
-          <caret line="55" column="40" lean-forward="true" selection-start-line="55" selection-start-column="40" selection-end-line="55" selection-end-column="40" />
+        <state relative-caret-position="187">
+          <caret line="11" column="37" selection-start-line="11" selection-start-column="37" selection-end-line="11" selection-end-column="37" />
         </state>
       </provider>
     </entry>
     <entry file="file://$PROJECT_DIR$/makefile">
       <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="51">
-          <caret line="3" column="71" selection-start-line="3" selection-start-column="71" selection-end-line="3" selection-end-column="71" />
+        <state relative-caret-position="119">
+          <caret line="7" lean-forward="true" selection-start-line="7" selection-end-line="7" />
         </state>
       </provider>
     </entry>
-    <entry file="file://$PROJECT_DIR$/galaxy.c">
+    <entry file="file://$PROJECT_DIR$/galaxy_simulation.c">
       <provider selected="true" editor-type-id="text-editor">
-        <state>
-          <caret selection-end-line="4" selection-end-column="17" />
+        <state relative-caret-position="68">
+          <caret line="4" column="21" selection-start-line="4" selection-start-column="21" selection-end-line="4" selection-end-column="21" />
         </state>
       </provider>
     </entry>
@@ -316,24 +316,17 @@
         </state>
       </provider>
     </entry>
-    <entry file="file://$PROJECT_DIR$/galaxy_simulation.c">
+    <entry file="file://$PROJECT_DIR$/quad_tree.h">
       <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="68">
-          <caret line="4" column="21" selection-start-line="4" selection-start-column="21" selection-end-line="4" selection-end-column="21" />
+        <state relative-caret-position="238">
+          <caret line="14" column="35" selection-start-line="14" selection-start-column="35" selection-end-line="14" selection-end-column="35" />
         </state>
       </provider>
     </entry>
     <entry file="file://$PROJECT_DIR$/quad_tree.c">
       <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="153">
-          <caret line="9" column="49" selection-start-line="9" selection-start-column="49" selection-end-line="9" selection-end-column="49" />
-        </state>
-      </provider>
-    </entry>
-    <entry file="file://$PROJECT_DIR$/quad_tree.h">
-      <provider selected="true" editor-type-id="text-editor">
-        <state relative-caret-position="238">
-          <caret line="14" column="35" selection-start-line="14" selection-start-column="35" selection-end-line="14" selection-end-column="35" />
+        <state relative-caret-position="155">
+          <caret line="10" column="4" selection-start-line="10" selection-start-column="4" selection-end-line="10" selection-end-column="4" />
         </state>
       </provider>
     </entry>
diff --git a/Box.h b/Box.h
index 5931890b679c5ba18eb63c12b293ad3ced20a086..24156a53286c1ebf4c342c7444a1eb05421ba764 100644
--- a/Box.h
+++ b/Box.h
@@ -9,6 +9,8 @@ box new_box(double x0, double x1, double y0, double y1);
 //Division d’une box en quatre parties égales
 box *divide_in_four(box b);
 
+double mid_point(double a, double b);
+
 //Déterminer si une position est à l’intérieur de la box
 bool is_inside(box b, vec v);
 
diff --git a/Box.o b/Box.o
new file mode 100644
index 0000000000000000000000000000000000000000..be8e1ab4b244b8062cf5dfbcc70400524f9e3fbb
Binary files /dev/null and b/Box.o differ
diff --git a/Star.o b/Star.o
new file mode 100644
index 0000000000000000000000000000000000000000..31a31dd95f878f0d7ad4feda1d3dc2f5adeacf65
Binary files /dev/null and b/Star.o differ
diff --git a/Vector.o b/Vector.o
new file mode 100644
index 0000000000000000000000000000000000000000..1d169814ec132196c3f1ebd784a80ce7658c9ace
Binary files /dev/null and b/Vector.o differ
diff --git a/galaxy.o b/galaxy.o
new file mode 100644
index 0000000000000000000000000000000000000000..47541c9c5db45a005c1ab63853045e648c1c956c
Binary files /dev/null and b/galaxy.o differ
diff --git a/quad_tree.c b/quad_tree.c
index 4934535e80cf9055021792d56071c7934e0526bc..fcbe613f215caa2860f2b9732390e0744fd0ac58 100644
--- a/quad_tree.c
+++ b/quad_tree.c
@@ -7,7 +7,40 @@
 
 quad_tree *create_quad_tree_from_galaxy(const galaxy *const g){
 
-    quad_tree* galaxy = malloc(sizeof(quad_tree));
+    quad_tree* galaxy = malloc(sizeof(quad_tree*));
+    node *root = malloc(sizeof(node*));
+    galaxy->root->b = g->b;
+    galaxy->root->is_empty = true;
+    galaxy->root->s = NULL;
+    galaxy->root->children = NULL;
+    galaxy->root->super_s = new_star_vel((vec){mid_point(g->b.x0,g->b.x1),mid_point(g->b.y0,g->b.y1)},(vec){0.0,0.0},(vec){0.0,0.0},0.0,0.0);
 
+}
 
+void insert_star(node *n, star *s){
+
+    if(is_inside(n->b,s) && n!=NULL){
+        if(n->children==NULL) {
+            if (n->is_empty) {
+                n->s = s;
+                n->is_empty = false;
+            } else {
+                box *zones = divide_in_four(n->b);
+                node *childs = malloc(4 * sizeof(node *));
+                for (int i = 0; i < 4; i++) {
+                    childs[i]->b = zones[i];
+                    childs[i]->is_empty = true;
+                    insert_star(childs[i], n->s);
+                    insert_star(childs[i], s);
+                }
+                n->children = childs;
+                n->s = NULL;
+            }
+        }else{
+            n->super_s->mass += s->mass;
+            for (int i = 0; i < 4; i++) {
+                insert_star(n->children,s);
+            }
+        }
+    }
 }
\ No newline at end of file