added files

HW01/part3.py

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+import random
+
+def monteCarlo(numPoints: int) -> float:
+    pInside = 0
+    
+    for _ in range(numPoints):
+        x = random.uniform(-1, 1)
+        y = random.uniform(-1, 1)
+        
+        # (x^2 + y^2 <= 1)
+        if x**2 + y**2 <= 1:
+            pInside += 1
+    
+    # approx π
+    estimate = 4 * (pInside / numPoints)
+    return estimate
+
+
+# I don't know if an example is needed, but I added one anyways
+numPoints = 1000000  # higher -> more accurate
+piApprox = monteCarlo(numPoints)
+print(f"Approximated value of π: {piApprox}")