diff --git a/README.md b/README.md
index fd8293229..28937efbd 100644
--- a/README.md
+++ b/README.md
@@ -2,13 +2,13 @@
 
 ## Project chosen
 
-Name: <TODO>
+Name: algorithms    
 
-URL: <TODO>
+URL: (https://github.com/keon/algorithms)
 
-Number of lines of code and the tool used to count it: <TODO>
+Number of lines of code and the tool used to count it: (TODO), counted using lizard
 
-Programming language: <TODO>
+Programming language: Python
 
 ## Coverage measurement
 
@@ -56,6 +56,44 @@ Programming language: <TODO>
 
 <Provide the same kind of information provided for Test 1>
 
+<Ayman Errahmouni>
+
+#### <Test "test_simplify_path">
+
+An enhanced existing test
+
+Old coverage:<br>
+![old coverage result (24%)](image-2.png)
+
+Diff (LHS = new code, RHS = old code):<br>
+![LHS: new code, RHS: old code](image.png)
+
+New coverage:<br>
+![new coverage result (100%)](image-1.png)
+
+The coverage was improved because certain cases that could happen in file paths (e.g. the "." directory, empty path) were not tested for.
+By added additional tests that use such cases, the coverage improved.
+
+The test was also faulty on windows (i guess linux was assumed), so i added support for that in the test. (It now passes on Windows 10 too)
+
+#### <Test "test_actual_insertion_sort">
+
+An new test. (before, `insertion_sort` was not present in any test)
+
+Diff (LHS: new code, RHS: old code):<br>
+(New test)<br>
+![LHS: new code, RHS: old code](image-5.png)<br>
+(Changes in imports)<br>
+![LHS: new code, RHS: old code](image-6.png)
+
+Old coverage:<br>
+![Old coverage result (4%)](image-3.png)
+
+New coverage:<br>
+![alt text](image-4.png)
+
+<State the coverage improvement with a number and elaborate on why the coverage is improved>
+
 ### Overall
 
 <Provide a screenshot of the old coverage results by running an existing tool (the same as you already showed above)>
diff --git a/algorithms/sort/insertion_sort.py b/algorithms/sort/insertion_sort.py
index 06c86228d..79e2bbd20 100644
--- a/algorithms/sort/insertion_sort.py
+++ b/algorithms/sort/insertion_sort.py
@@ -1,3 +1,10 @@
+branch_coverage = {
+    "simulation": False,
+    "for": False,
+    "while": False,
+    "simulation-nested": False,
+}
+
 def insertion_sort(arr, simulation=False):
     """ Insertion Sort
         Complexity: O(n^2)
@@ -5,13 +12,16 @@ def insertion_sort(arr, simulation=False):
     
     iteration = 0
     if simulation:
+        branch_coverage["simulation"] = True
         print("iteration",iteration,":",*arr)
         
     for i in range(len(arr)):
+        branch_coverage["for"] = True
         cursor = arr[i]
         pos = i
         
         while pos > 0 and arr[pos - 1] > cursor:
+            branch_coverage["while"] = True
             # Swap the number down the list
             arr[pos] = arr[pos - 1]
             pos = pos - 1
@@ -19,7 +29,14 @@ def insertion_sort(arr, simulation=False):
         arr[pos] = cursor
         
         if simulation:
+                branch_coverage["simulation-nested"] = True
                 iteration = iteration + 1
                 print("iteration",iteration,":",*arr)
 
     return arr
+
+def print_coverage():
+    print("branch coverage for `insertion_sort`:")
+    for branch, hit in branch_coverage.items():
+        print(f"{branch} was {'hit' if hit else 'not hit'}")
+
diff --git a/algorithms/unix/path/simplify_path.py b/algorithms/unix/path/simplify_path.py
index 8880fc0c6..7cf773cb0 100644
--- a/algorithms/unix/path/simplify_path.py
+++ b/algorithms/unix/path/simplify_path.py
@@ -15,6 +15,12 @@
 Reference: https://leetcode.com/problems/simplify-path/description/
 """
 
+branch_coverage = {
+    "for": False,
+    "if": False,
+    "elif": False,
+}
+
 import os
 def simplify_path_v1(path):
     return os.path.abspath(path)
@@ -22,8 +28,17 @@ def simplify_path_v1(path):
 def simplify_path_v2(path):
     stack, tokens = [], path.split("/")
     for token in tokens:
+        branch_coverage["for"] = True
         if token == ".." and stack:
+            branch_coverage["if"] = True
             stack.pop()
         elif token != ".." and token != "." and token:
+            branch_coverage["elif"] = True
             stack.append(token)
+
     return "/" + "/".join(stack)
+
+def print_coverage():
+    print("branch coverage for `simplify_path_v2`:")
+    for branch, hit in branch_coverage.items():
+        print(f"{branch} was {'hit' if hit else 'not hit'}")
\ No newline at end of file
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diff --git a/tests/test_unix.py b/tests/test_unix.py
index 3cafba98f..e53881ef1 100644
--- a/tests/test_unix.py
+++ b/tests/test_unix.py
@@ -7,6 +7,9 @@
 import os
 import unittest
 
+from algorithms.unix import (
+    print_coverage
+)
 
 class TestUnixPath(unittest.TestCase):
     def test_join_with_slash(self):
@@ -42,7 +45,26 @@ def test_split(self):
         self.assertEqual("test.py", expect_result[1])
 
     def test_simplify_path(self):
-        self.assertEqual("/", simplify_path_v1("/../"))
-        self.assertEqual("/home/foo", simplify_path_v1("/home//foo/"))
+        root = None
+        pathsep = None
+        drive = None
+        if os.name == 'nt':
+            root = "" # Assumed to be ran on the C drive
+            pathsep = "\\"
+            drive = "C:\\"
+        elif os.name == 'posix':
+            root = "/"
+            pathsep = "/"
+            drive = ""
+
+        self.assertEqual(drive + root, simplify_path_v1("/../"))
+        self.assertEqual(drive + root + pathsep.join(["home", "foo"]), simplify_path_v1("/home//foo/"))
+
+        self.assertEqual("/", simplify_path_v2("."))
         self.assertEqual("/", simplify_path_v2("/../"))
         self.assertEqual("/home/foo", simplify_path_v2("/home//foo/"))
+        self.assertEqual("/", simplify_path_v2(""))
+        self.assertEqual("/", simplify_path_v2("/home/../"))
+
+        print_coverage()
+