Work in progress, 15 doesn't work like intended

15/main.py

@@ -0,0 +1,47 @@
+import os
+import math
+import numpy as np
+
+
+# Given a grid with start in one corner and goal in opposite corner, find 
+# the number of paths you can take from start to goal
+
+
+gs = [[0] * 21] * 21
+
+def gridRoutes(x, y):
+    res = 0
+
+    if gs[x][y] > 0:
+        res = gs[x][y]
+
+    else:
+        if x == 1:
+            res = y + 1
+        elif y == 1:
+            res = x + 1
+        else:
+            res = gridRoutes(x - 1, y) + gridRoutes(x, y - 1)
+
+        gs[x][y] = res
+    print(x, y, res)
+    return res
+
+def dumbGridRoutes(x, y):
+    if x == 1:
+        return y + 1
+    elif y == 1:
+        return x + 1
+    else:
+        return dumbGridRoutes(x, y - 1) + dumbGridRoutes(x - 1, y)
+
+
+def main():
+    print("Hello, this is Patrick")
+
+    g = gridRoutes(3, 2)
+    gd = dumbGridRoutes(3, 2)
+    print(g, gd)
+
+if __name__ == "__main__":
+    main()