diff --git a/code/heap/src/main/java/fr/istic/vv/BinaryHeap.java b/code/heap/src/main/java/fr/istic/vv/BinaryHeap.java
index ce38e05..95cb47e 100644
--- a/code/heap/src/main/java/fr/istic/vv/BinaryHeap.java
+++ b/code/heap/src/main/java/fr/istic/vv/BinaryHeap.java
@@ -1,17 +1,82 @@
 package fr.istic.vv;
 
+import java.util.ArrayList;
 import java.util.Comparator;
+import java.util.NoSuchElementException;
 
 public class BinaryHeap<T> {
+    private Comparator<T> comparator;
+    private ArrayList<T> elements = new ArrayList<>();
 
-    public BinaryHeap(Comparator<T> comparator) {  }
+    public BinaryHeap(Comparator<T> comparator) {
+        this.comparator = comparator;
+        this.elements = new ArrayList<>();
+    }
 
-    public T pop() { return null; }
+    public T pop() {
+        if (elements.isEmpty()) {
+            throw new NoSuchElementException();
+        } else {
+            T first = elements.get(0);
+            T last = elements.remove(elements.size() - 1);
+            if ((!elements.isEmpty())) {
+                //swap to first to reshift down
+                elements.set(0,last);
+                shiftDown(0);
+            }
+            return first;
+        }
+    }
 
-    public T peek() { return null; }
+    protected void shiftDown(int index){
+        int size=this.count();
+        int temp=index;
+        while(true) {
+            int left = 2*index + 1;
+            int right = left + 1;
+            if ((left < size) && comparator.compare(elements.get(left), elements.get(temp)) < 0) {
+                temp = left;
+            }
+            if ((right < size) && comparator.compare(elements.get(right), elements.get(temp)) < 0) {
+                temp = right;
+            }
+            if (temp == index) {
+                break;
+            }
+            //Il faut swap
+            swapItems(temp, index);
+            index= temp;
+        }
+    }
 
-    public void push(T element) { }
+    public T peek() {
+        if (elements.isEmpty()) {
+            throw new NoSuchElementException();
+        } else {
+            return elements.get(0);
+        }
+    }
 
-    public int count() { return 0; }
+    public void push(T element) {
+        elements.add(element);
+        int size = elements.size() - 1;
+        while (size > 0) {
+            int parentIndex = (size - 1) / 2;
+            if (comparator.compare(elements.get(size), elements.get(parentIndex)) < 0) {
+                swapItems(size, parentIndex);
+            }
+            size = parentIndex;
+        }
+    }
+
+    public int count() {
+        return elements.size();
+    }
+
+    public void swapItems(int index1, int index2) {
+        T temp = elements.get(index1);
+        elements.set(index1, elements.get(index2));
+        elements.set(index2, temp);
+    }
 
 }
\ No newline at end of file
diff --git a/code/heap/src/test/java/fr/istic/vv/BinaryHeapTest.java b/code/heap/src/test/java/fr/istic/vv/BinaryHeapTest.java
index 67ed489..6a86943 100644
--- a/code/heap/src/test/java/fr/istic/vv/BinaryHeapTest.java
+++ b/code/heap/src/test/java/fr/istic/vv/BinaryHeapTest.java
@@ -1,10 +1,37 @@
 package fr.istic.vv;
+
 import net.jqwik.api.*;
 
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.List;
+
 
 public class BinaryHeapTest {
+    /*
     @Property
     boolean absoluteValueOfAllNumbersIsPositive(@ForAll int anInteger) {
         return Math.abs(anInteger) >= 0;
     }
+     */
+
+    @Property
+    void popToujoursMinimum(@ForAll List<Integer> valeur) {
+        Comparator<Integer> comp = Comparator.naturalOrder();
+        BinaryHeap<Integer> bh = new BinaryHeap(comp);
+        List<Integer> triee = new ArrayList<>();
+
+        //PUSH
+        for (Integer val : valeur) {
+            bh.push(val);
+        }
+        while(bh.count()!=0){
+            int valeur_pop=bh.pop();
+            triee.add(valeur_pop);
+        }
+
+        for(int i=1; i<triee.size()-1;i++){
+            assert(triee.get(i)<= triee.get(i+1));
+        }
+    }
 }
diff --git a/code/heap/target/classes/fr/istic/vv/BinaryHeap.class b/code/heap/target/classes/fr/istic/vv/BinaryHeap.class
index 7deedc0..dddc32d 100644
Binary files a/code/heap/target/classes/fr/istic/vv/BinaryHeap.class and b/code/heap/target/classes/fr/istic/vv/BinaryHeap.class differ
diff --git a/code/heap/target/test-classes/fr/istic/vv/BinaryHeapTest.class b/code/heap/target/test-classes/fr/istic/vv/BinaryHeapTest.class
index 6b143a7..e00ef34 100644
Binary files a/code/heap/target/test-classes/fr/istic/vv/BinaryHeapTest.class and b/code/heap/target/test-classes/fr/istic/vv/BinaryHeapTest.class differ