diff --git a/.idea/AlgoDatSoSe25.iml b/.idea/AlgoDatSoSe25.iml
index 982282a..bf024fa 100644
--- a/.idea/AlgoDatSoSe25.iml
+++ b/.idea/AlgoDatSoSe25.iml
@@ -5,7 +5,7 @@
       <excludeFolder url="file://$MODULE_DIR$/.venv" />
       <excludeFolder url="file://$MODULE_DIR$/venv" />
     </content>
-    <orderEntry type="jdk" jdkName="Python 3.12 (SoSe25)" jdkType="Python SDK" />
+    <orderEntry type="jdk" jdkName="Python 3.12 (AlgoDatSoSe25)" jdkType="Python SDK" />
     <orderEntry type="sourceFolder" forTests="false" />
   </component>
 </module>
\ No newline at end of file
diff --git a/praktika/03_quick_and_heap/priority_queue.py b/praktika/03_quick_and_heap/priority_queue.py
new file mode 100644
index 0000000..0dc6161
--- /dev/null
+++ b/praktika/03_quick_and_heap/priority_queue.py
@@ -0,0 +1,150 @@
+from utils.memory_array import MemoryArray
+from utils.memory_cell import MemoryCell
+from utils.memory_manager import MemoryManager
+from utils.literal import Literal
+import random
+
+class PriorityQueue:
+
+    def __init__(self, size: Literal):
+        self.items = MemoryArray(size)
+        self.heapsize = MemoryCell(0)
+
+    def __len__(self):
+        return self.heapsize.value
+
+    def insert(self, item: MemoryCell):
+        if self.heapsize == self.items.length():
+            raise Exception("Queue is full")
+        self.heapsize.set(self.heapsize.succ())
+        self.items[adjust_index(self.heapsize)].set(item.value)
+        heapyfy_up(self.items, self.heapsize)
+
+
+    def pop(self) -> MemoryCell | None:
+        if self.is_empty():
+            return None
+        result = MemoryCell(self.items[Literal(0)])
+        self.heapsize.set(self.heapsize.pred())
+        if self.heapsize > Literal(1):
+            swap(self.items, 0, int(self.heapsize))
+            max_heapyfy(self.items, Literal(1), self.heapsize)
+        return result
+
+    def peek(self) -> MemoryCell | None:
+        if self.is_empty():
+            return None
+        return MemoryCell(self.items[Literal(0)])
+
+    def is_empty(self) -> bool:
+        return self.heapsize == Literal(0)
+
+    def __str__(self):
+        result = "[ "
+        for i, cell in enumerate(self.items.cells):
+            if i == int(self.heapsize):
+                result += "| "
+            result += str(cell) + " "
+        result += "]"
+        return result
+
+def left_child(i: Literal):
+    return Literal(2 * int(i))
+
+
+def right_child(i: Literal):
+    return Literal(2 * int(i) + 1)
+
+
+def adjust_index(i: Literal):
+    return i.pred()
+
+def heapyfy_up(z: MemoryArray, i: Literal):
+    if i == Literal(1):
+        return
+    parent = Literal(int(i) // 2)
+    if z[adjust_index(parent)] >= z[adjust_index(i)]:
+        return
+    swap(z, int(i)-1, int(parent)-1)
+    heapyfy_up(z, parent)
+
+
+def max_heapyfy(z: MemoryArray, i: Literal, heapsize: Literal):
+    l = left_child(i)
+    r = right_child(i)
+    with MemoryCell(i) as max_value:
+        if l <= heapsize and z[adjust_index(l)] > z[adjust_index(i)]:
+            max_value.set(l)
+        if r <= heapsize and z[adjust_index(r)] > z[adjust_index(max_value)]:
+            max_value.set(r)
+        if max_value != i:
+            swap(z, int(i)-1, int(max_value)-1)
+            max_heapyfy(z, max_value, heapsize)
+
+
+def swap(z: MemoryArray, i: int, j: int):
+    tmp = z[Literal(i)].value
+    z[Literal(i)] = z[Literal(j)]
+    z[Literal(j)].set(tmp)
+
+
+def analyze_complexity_insert(sizes, presorted=False):
+    """
+    Analysiert die Komplexität der Insert-Funktion.
+    """
+    for size in sizes:
+        MemoryManager().purge()  # Speicher zurücksetzen
+        pq = PriorityQueue(Literal(size))
+        insert_list = [random.randint(-100, 100) for _ in range(size)]
+        if presorted:
+            insert_list.sort()
+        for insert_value in insert_list[:-1]:
+            pq.insert(MemoryCell(insert_value))
+        MemoryManager().reset()
+        pq.insert(MemoryCell(insert_list[-1]))
+        MemoryManager.save_stats(size)
+
+    MemoryManager.plot_stats(["cells", "compares", "writes"])
+
+
+def analyze_complexity_pop(sizes, presorted=False):
+    """
+    Analysiert die Komplexität der Pop-Funktion.
+    """
+    for size in sizes:
+        MemoryManager().purge()  # Speicher zurücksetzen
+        pq = PriorityQueue(Literal(size))
+        insert_list = [random.randint(-100, 100) for _ in range(size)]
+        if presorted:
+            insert_list.sort()
+        for insert_value in insert_list:
+            pq.insert(MemoryCell(insert_value))
+        MemoryManager().reset()
+        pq.pop()
+        MemoryManager.save_stats(size)
+
+    MemoryManager.plot_stats(["cells", "compares", "writes"])
+
+
+if __name__ == '__main__':
+    length = Literal(10)
+    pq = PriorityQueue(length)
+    for i in range(10):
+        space_left = int(length) - len(pq)
+        if space_left > 0:
+            insert_count = random.randint(1, space_left)
+            insert_sequence = [random.randint(1, int(length)) for _ in range(insert_count)]
+            print(f"-> {insert_sequence}")
+            for j in insert_sequence:
+                pq.insert(MemoryCell(j))
+            print(f"{pq}")
+        if not pq.is_empty():
+            pop_count = random.randint(1, len(pq))
+            output_sequence = [int(pq.pop()) for _ in range(pop_count)]
+            print(f"<- {output_sequence}")
+            print(f"{pq}")
+
+    sizes = range(10, 501, 5)
+    analyze_complexity_insert(sizes, presorted=True)
+    analyze_complexity_pop(sizes, presorted=True)
+
diff --git a/praktika/03_quick_and_heap/quick_sorting_enhanced.py b/praktika/03_quick_and_heap/quick_sorting_enhanced.py
new file mode 100644
index 0000000..6690a86
--- /dev/null
+++ b/praktika/03_quick_and_heap/quick_sorting_enhanced.py
@@ -0,0 +1,93 @@
+from utils.memory_array import MemoryArray
+from utils.memory_cell import MemoryCell
+from utils.memory_manager import MemoryManager
+from utils.literal import Literal
+
+def quick_sort_stepwise(z: MemoryArray, l: Literal, r: Literal):
+    if l < r:
+        q = partition(z, l, r)
+        yield z
+        yield from quick_sort_stepwise(z, l, q.pred())
+        yield from quick_sort_stepwise(z, q.succ(), r)
+        yield z
+
+
+def partition(z: MemoryArray, l: Literal, r: Literal):
+    p = mid_index(z, l, r, Literal((int(l)+int(r))//2))
+    swap(z, p, r)
+    with MemoryCell(z[r]) as pivot, MemoryCell(l) as i, MemoryCell(r.pred()) as j:
+        while i < j:
+            while z[i] < pivot:
+                i.set(i.succ())
+            while j > l and z[j] >= pivot:
+                j.set(j.pred())
+            if i < j:
+                swap(z, int(i), int(j))
+                i.set(i.succ())
+                j.set(j.pred())
+        if i == j and z[i] < pivot:
+            i.set(i.succ())
+        if z[i] != pivot:
+            swap(z, int(i), int(r))
+        return Literal(i)
+
+def mid_index(z: MemoryArray, i1, i2, i3):
+    if z[i1] < z[i2] < z[i3]:
+        return i2
+    elif z[i3] < z[i2] < z[i1]:
+        return i2
+    elif z[i2] < z[i1] < z[i3]:
+        return i1
+    elif z[i3] < z[i1] < z[i2]:
+        return i1
+    else:
+        return i3
+
+def quick_sort(z: MemoryArray, l: Literal = None, r: Literal = None):
+    if l is None:
+        l = Literal(0)
+    if r is None:
+        r = z.length().pred()
+    sort_generator = quick_sort_stepwise(z, l, r)
+    while True:
+        try:
+            next(sort_generator)
+        except StopIteration:
+            break
+
+
+def sort_file(filename, sort_func):
+    z = MemoryArray.create_array_from_file(filename)
+    sort_func(z)
+    return z
+
+
+def analyze_complexity(sort_func, sizes, presorted=False):
+    """
+    Analysiert die Komplexität einer Sortierfunktion.
+
+    :param sort_func: Die Funktion, die analysiert wird.
+    :param sizes: Eine Liste von Eingabegrößen für die Analyse.
+    """
+    for size in sizes:
+        MemoryManager.purge()  # Speicher zurücksetzen
+        if presorted:
+            random_array = MemoryArray.create_sorted_array(size)
+        else:
+            random_array = MemoryArray.create_random_array(size, -100, 100)
+        sort_func(random_array)
+        MemoryManager.save_stats(size)
+
+    MemoryManager.plot_stats(["cells", "compares", "writes"])
+
+
+def swap(z: MemoryArray, i: int, j: int):
+    tmp = z[Literal(i)].value
+    z[Literal(i)] = z[Literal(j)]
+    z[Literal(j)].set(tmp)
+
+
+if __name__ == '__main__':
+    sizes = range(10, 101, 5)
+    analyze_complexity(quick_sort, sizes)
+    analyze_complexity(quick_sort, sizes, True)
diff --git a/praktika/04_bin_baum/bin_tree_node.py b/praktika/04_bin_baum/bin_tree_node.py
new file mode 100644
index 0000000..da79af1
--- /dev/null
+++ b/praktika/04_bin_baum/bin_tree_node.py
@@ -0,0 +1,15 @@
+from utils.memory_cell import MemoryCell
+
+class BinaryTreeNode(MemoryCell):
+
+    def __init__(self, value):
+        super().__init__(value)
+        self.left = None
+        self.right = None
+
+    def __repr__(self):
+        return f"BinaryTreeNode(value={self.value}, left={self.left}, right={self.right})"
+
+    def __str__(self):
+        return str(self.value)
+
diff --git a/utils/memory_array.py b/utils/memory_array.py
index 3d3b266..239f79d 100644
--- a/utils/memory_array.py
+++ b/utils/memory_array.py
@@ -102,6 +102,13 @@ class MemoryArray:
         a.reset_counters()
         return a
 
+    def __str__(self):
+        result = "[ "
+        for cell in self.cells:
+            result += str(cell) + ", "
+        result += "]"
+        return result
+
 
 if __name__ == "__main__":
     import random
diff --git a/vorlesung/03_fortgeschrittenes_sortieren/quick_sorting.py b/vorlesung/03_fortgeschrittenes_sortieren/quick_sorting.py
index c34b990..9857f76 100644
--- a/vorlesung/03_fortgeschrittenes_sortieren/quick_sorting.py
+++ b/vorlesung/03_fortgeschrittenes_sortieren/quick_sorting.py
@@ -5,7 +5,6 @@ from utils.memory_range import mrange
 from utils.literal import Literal
 
 def quick_sort_stepwise(z: MemoryArray, l: Literal, r: Literal):
-    n = z.length()
     if l < r:
         q = partition(z, l, r)
         yield z
@@ -77,6 +76,6 @@ def swap(z: MemoryArray, i: int, j: int):
 
 
 if __name__ == '__main__':
-    sizes = range(10, 101, 10)
-    analyze_complexity(quick_sort, sizes)
-    # analyze_complexity(quick_sort, sizes, True)
+    sizes = range(10, 101, 5)
+    #analyze_complexity(quick_sort, sizes)
+    analyze_complexity(quick_sort, sizes, True)
diff --git a/vorlesung/04_besondere_sortierverfahren/count_sorting.py b/vorlesung/04_besondere_sortierverfahren/count_sorting.py
new file mode 100644
index 0000000..507115d
--- /dev/null
+++ b/vorlesung/04_besondere_sortierverfahren/count_sorting.py
@@ -0,0 +1,60 @@
+from utils.memory_array import MemoryArray
+from utils.memory_cell import MemoryCell
+from utils.memory_manager import MemoryManager
+from utils.memory_range import mrange
+from utils.literal import Literal
+
+
+
+def count_sort(a: MemoryArray, b: MemoryArray, k: int):
+    c = MemoryArray(Literal(k + 1))
+    for i in mrange(Literal(k + 1)):
+        c[i].set(Literal(0))
+
+    for j in mrange(a.length()):
+        c[a[j]].set(c[a[j]].succ())
+
+    for i in mrange(Literal(1), Literal(k + 1)):
+        c[i].set(int(c[i]) + int(c[i.pred()]))
+
+    for j in mrange(a.length().pred(), Literal(-1), Literal(-1)):
+        b[c[a[j]].pred()].set(a[j])
+        c[a[j]].set(c[a[j]].pred())
+
+
+
+def analyze_complexity(sizes, presorted=False):
+    """
+    Analysiert die Komplexität einer Sortierfunktion.
+
+    :param sizes: Eine Liste von Eingabegrößen für die Analyse.
+    """
+    for size in sizes:
+        MemoryManager.purge()  # Speicher zurücksetzen
+        if presorted:
+            random_array = MemoryArray.create_sorted_array(size, 0, 100)
+        else:
+            random_array = MemoryArray.create_random_array(size, 0, 100)
+        dest_array = MemoryArray(Literal(size))
+        count_sort(random_array, dest_array, 100)
+        MemoryManager.save_stats(size)
+
+    MemoryManager.plot_stats(["cells", "compares", "writes"])
+
+
+def swap(z: MemoryArray, i: int, j: int):
+    tmp = z[Literal(i)].value
+    z[Literal(i)] = z[Literal(j)]
+    z[Literal(j)].set(tmp)
+
+
+if __name__ == '__main__':
+
+    # Test the count_sort function
+    a = MemoryArray([2, 5, 3, 0, 2, 3, 0, 3])
+    b = MemoryArray(Literal(len(a)))
+    count_sort(a, b, 5)
+
+    sizes = range(10, 101, 10)
+    analyze_complexity(sizes)
+    # analyze_complexity(sizes, True)
diff --git a/vorlesung/05_binaere_baeume/bin_search.py b/vorlesung/05_binaere_baeume/bin_search.py
new file mode 100644
index 0000000..1bb0299
--- /dev/null
+++ b/vorlesung/05_binaere_baeume/bin_search.py
@@ -0,0 +1,61 @@
+import random
+
+from utils.memory_array import MemoryArray
+from utils.memory_cell import MemoryCell
+from utils.memory_manager import MemoryManager
+from utils.memory_range import mrange
+from utils.literal import Literal
+
+
+def binary_search(z: MemoryArray, s: MemoryCell, l: Literal = None, r: Literal = None):
+    """
+    Perform a binary search on the sorted array z for the value x.
+    """
+    if l is None:
+        l = Literal(0)
+    if r is None:
+        r = Literal(z.length().pred())
+    if l > r:
+        return None
+    with MemoryCell(l) as m:
+        m += r
+        m //= Literal(2)
+        if s < z[m]:
+            return binary_search(z, s, l, m.pred())
+        elif s > z[m]:
+            return binary_search(z, s, m.succ(), r)
+        else:
+            return m
+
+
+def analyze_complexity(sizes):
+    """
+    Analysiert die Komplexität
+
+    :param sizes: Eine Liste von Eingabegrößen für die Analyse.
+    """
+    for size in sizes:
+        MemoryManager.purge()  # Speicher zurücksetzen
+        random_array = MemoryArray.create_sorted_array(size)
+        search_value = random.randint(-100, 100)
+        binary_search(random_array, MemoryCell(search_value))
+        MemoryManager.save_stats(size)
+
+    MemoryManager.plot_stats(["cells", "compares", "adds"])
+
+
+
+
+if __name__ == "__main__":
+    # Example usage
+    arr = MemoryArray([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
+    search_value = MemoryCell(8)
+    result = binary_search(arr, search_value)
+    if result is not None:
+        print(f"Value {search_value} found at index {result}.")
+    else:
+        print(f"Value {search_value} not found in the array.")
+
+
+    sizes = range(1, 1001, 2)
+    analyze_complexity(sizes)