diff --git a/6_18_2024_catalan/catalan.py b/6_18_2024_catalan/catalan.py
index 8946549..bb15342 100644
--- a/6_18_2024_catalan/catalan.py
+++ b/6_18_2024_catalan/catalan.py
@@ -1,12 +1,14 @@
 import itertools
 
+
 def parenthesizations(n):
   """
   Returns a set of all possible parenthesizations of length n.
 
   Parameters:
     n (int): The length of the parenthesizations.
-
+  """
+  """
   Returns:
     A set of strings, where each inner string represents a valid parenthesization of length n.
   
@@ -17,16 +19,20 @@ def parenthesizations(n):
   if n == 0:
     return {""}
   else:
-    # TODO
-    pass
+    result = set()
+    for i in range(n):
+      for left in parenthesizations(i):
+          for right in parenthesizations(n - 1 - i):
+              result.add('(' + left + ')' + right)
+    return result
+
 
 def product_orders(n):
   """
   Returns a set of all possible ways to multiply of n elements.
 
   Parameters:
-    n (int): The number of elements multiplied.
-
+    n (int):  The number of elements multiplied.
   Returns:
     A set of strings where each string represents a way to multiply n elements.
   
@@ -41,8 +47,17 @@ def product_orders(n):
   elif n == 2:
     return {"?*?"}
   else:
-    # TODO
-    pass
+    result = set()
+    for i in range(1, n):
+      for left in product_orders(i):
+          for right in product_orders(n - i):
+              if left == '?':
+                result.add(left+ '*(' + right + ')')
+              elif right == '?':
+                result.add('(' + left + ')*' + right)
+              else:
+                result.add('('+ left +')*('+ right+')')
+    return result
 
 def permutations_avoiding_231(n):
   """
@@ -61,8 +76,20 @@ def permutations_avoiding_231(n):
   if n < 3:
     return set(itertools.permutations(range(1, n+1)))
   else:
-    # TODO
-    pass
+    result = set()
+    
+    for i in set(itertools.permutations(range(1, n+1))):
+      result.add(i)  
+      for j in range(2, n):
+          for k in range(j):
+              if i[k] > i[j]:
+                  for l in range(k+1, j):
+                      if i[l] > i[j] and i[l] > i[k]:
+                          result.add(i)
+                          result.remove(i)
+                        
+    return result  
+
 
 def triangulations(n):
   """
@@ -76,7 +103,7 @@ def triangulations(n):
     A set of tuple of pairs, where each pair represents an internal edge in the triangulation.
   
   Example:
-  >>> triangulations(3)
+  >>> triangulations(5)
   {((0, 3), (1, 3)), ((1, 4), (2, 4)), ((1, 3), (1, 4)), ((0, 2), (2, 4)), ((0, 2), (0, 3))}
   """
   if n < 3:
@@ -84,5 +111,24 @@ def triangulations(n):
   elif n == 3:
     return {tuple()}
   else:
-    pass
-    # TODO
\ No newline at end of file
+    result = set()
+    for i in range(n-2):
+      for j in range(i+2, n):
+        if i != 0 or j != n-1:
+          edge = (i, j)
+          polygon1_size = j-i+1
+          polygon2_size = n-(j-i)+1
+          for polygon1 in triangulations(polygon1_size):
+            for polygon2 in triangulations(polygon2_size):
+              modfied_polygon2 = tuple()
+              for (k,l) in polygon2:
+                k= (i-k)%n
+                l= (i-l)%n
+                smaller = min(k,l)
+                larger = max(k,l)
+                modfied_polygon2 += ((smaller,larger),)
+                result.add(tuple(sorted(polygon1 + (edge,) + ((smaller,larger),))))
+          result.add(tuple(sorted(polygon1 + modfied_polygon2 + (edge,))))
+    return result
+
+
diff --git a/6_20_2024_SYT/main.ipynb b/6_20_2024_SYT/main.ipynb
index abfc97d..807299f 100644
--- a/6_20_2024_SYT/main.ipynb
+++ b/6_20_2024_SYT/main.ipynb
@@ -116,7 +116,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.5"
+   "version": "3.11.9"
   }
  },
  "nbformat": 4,
diff --git a/6_25_2024_parenthesization_pytorch/data/parenthesizations_1.csv b/6_25_2024_parenthesization_pytorch/data/parenthesizations_1.csv
new file mode 100644
index 0000000..3f8d1d6
--- /dev/null
+++ b/6_25_2024_parenthesization_pytorch/data/parenthesizations_1.csv
@@ -0,0 +1,5 @@
+parenthesization,valid
+(),1
+)(,0
+((,0
+)),0
diff --git a/6_25_2024_parenthesization_pytorch/data/parenthesizations_2.csv b/6_25_2024_parenthesization_pytorch/data/parenthesizations_2.csv
new file mode 100644
index 0000000..b439eed
--- /dev/null
+++ b/6_25_2024_parenthesization_pytorch/data/parenthesizations_2.csv
@@ -0,0 +1,17 @@
+parenthesization,valid
+()(),1
+(()),1
+)))(,0
+())(,0
+)(((,0
+))(),0
+(((),0
+()((,0
+)()(,0
+)((),0
+(()(,0
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+((((,0
+))((,0
+)))),0
+)()),0
diff --git a/6_25_2024_parenthesization_pytorch/data/parenthesizations_3.csv b/6_25_2024_parenthesization_pytorch/data/parenthesizations_3.csv
new file mode 100644
index 0000000..ec63de3
--- /dev/null
+++ b/6_25_2024_parenthesization_pytorch/data/parenthesizations_3.csv
@@ -0,0 +1,65 @@
+parenthesization,valid
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new file mode 100644
index 0000000..6a6f557
--- /dev/null
+++ b/6_25_2024_parenthesization_pytorch/data/parenthesizations_4.csv
@@ -0,0 +1,257 @@
+parenthesization,valid
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+()()(()),1
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diff --git a/6_25_2024_parenthesization_pytorch/data/parenthesizations_5.csv b/6_25_2024_parenthesization_pytorch/data/parenthesizations_5.csv
new file mode 100644
index 0000000..1f93919
--- /dev/null
+++ b/6_25_2024_parenthesization_pytorch/data/parenthesizations_5.csv
@@ -0,0 +1,1025 @@
+parenthesization,valid
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index 0000000..1def2b9
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diff --git a/6_25_2024_parenthesization_pytorch/generate_data.ipynb b/6_25_2024_parenthesization_pytorch/generate_data.ipynb
index 1c837ef..68a8701 100644
--- a/6_25_2024_parenthesization_pytorch/generate_data.ipynb
+++ b/6_25_2024_parenthesization_pytorch/generate_data.ipynb
@@ -5,16 +5,32 @@
    "metadata": {},
    "source": [
     "# Generate Data\n",
-    "This is a simple notebook used for generating all the data we will be training our models on. For $1 \\le n \\le 10$, generate CSV data files. The header line should be `parenthesization,valid` and each subsequent row is a parenthesization followed by either `0` or `1`, where `0` denotes invalid and `1` denotes valid.\n",
+    "This is a simple notebook used for generating all the data we will be training our models on. For $1 \\le n \\le 9$, generate CSV data files. The header line should be `parenthesization,valid` and each subsequent row is a parenthesization followed by either `0` or `1`, where `0` denotes invalid and `1` denotes valid.\n",
     "\n",
     "The functions `parenthensizations.valid()` and `parenthesizations.invalid()` have been implemented for you, but make sure to balance the two classes so they have a equal number of data points."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Generated data for n = 1\n",
+      "Generated data for n = 2\n",
+      "Generated data for n = 3\n",
+      "Generated data for n = 4\n",
+      "Generated data for n = 5\n",
+      "Generated data for n = 6\n",
+      "Generated data for n = 7\n",
+      "Generated data for n = 8\n",
+      "Generated data for n = 9\n"
+     ]
+    }
+   ],
    "source": [
     "import importlib\n",
     "import random\n",
@@ -44,7 +60,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.12.3"
+   "version": "3.11.9"
   }
  },
  "nbformat": 4,
diff --git a/6_25_2024_parenthesization_pytorch/main.ipynb b/6_25_2024_parenthesization_pytorch/main.ipynb
index ce62a6d..8a2db20 100644
--- a/6_25_2024_parenthesization_pytorch/main.ipynb
+++ b/6_25_2024_parenthesization_pytorch/main.ipynb
@@ -41,7 +41,12 @@
     "momentum = 0.9\n",
     "batch_size = 32\n",
     "\n",
-    "# TODO: Create the datasets, model, loss function, optimizer, and data loader."
+    "model = ParenthesizationModel(2)"
+    "full_dataset = ParenthesizationDataset(2)"
+     "training_dataset, test_dataset = random_split(full_dataset, [train_split, test_split])"
+     "training_loader = DataLoader(full_dataset, batch_size=batch_size, shuffle=True)"
+     "loss_fn = torch.nn.CrossEntropyLoss()"
+     "optimizer = torch.optim.SGD(model.parameters(), lr=learning_rate, momentum=momentum)"
    ]
   },
   {
diff --git a/6_25_2024_parenthesization_pytorch/parenthesizations.py b/6_25_2024_parenthesization_pytorch/parenthesizations.py
index 3408d06..ac5d97b 100644
--- a/6_25_2024_parenthesization_pytorch/parenthesizations.py
+++ b/6_25_2024_parenthesization_pytorch/parenthesizations.py
@@ -23,7 +23,7 @@ def valid(n):
         for d in valid(n - i - 1):
           result.append("(" + c + ")" + d)
     return result
-
+print(valid(4))
 def invalid(n):
   """
   Generates a set of all invalid parenthesizations of length 2n.