September Morn Update

Task/Catalan-numbers/Python/catalan-numbers.py

@@ -1,8 +1,10 @@
 from math import factorial
 import functools
 
+
 def memoize(func):
     cache = {}
+
     def memoized(key):
         # Returned, new, memoized version of decorated function
         if key not in cache:
@@ -15,30 +17,33 @@ def memoize(func):
 def fact(n):
     return factorial(n)
 
+
 def cat_direct(n):
-    return fact(2*n) // fact(n + 1) // fact(n)
+    return fact(2 * n) // fact(n + 1) // fact(n)
+
 
 @memoize
 def catR1(n):
-    return ( 1 if n == 0
-             else sum( catR1(i) * catR1(n - 1 - i)
-                       for i in range(n) ) )
+    return 1 if n == 0 else (
+        sum(catR1(i) * catR1(n - 1 - i) for i in range(n))
+    )
+
 
 @memoize
 def catR2(n):
-    return ( 1 if n == 0
-             else ( ( 4 * n - 2 ) * catR2( n - 1) ) // ( n + 1 ) )
+    return 1 if n == 0 else (
+        ((4 * n - 2) * catR2(n - 1)) // (n + 1)
+    )
 
 
 if __name__ == '__main__':
     def pr(results):
         fmt = '%-10s %-10s %-10s'
-        print ((fmt % tuple(c.__name__ for c in defs)).upper())
-        print (fmt % (('='*10,)*3))
+        print((fmt % tuple(c.__name__ for c in defs)).upper())
+        print(fmt % (('=' * 10,) * 3))
         for r in zip(*results):
-            print (fmt % r)
-
+            print(fmt % r)
 
     defs = (cat_direct, catR1, catR2)
-    results = [ tuple(c(i) for i in range(15)) for c in defs ]
+    results = [tuple(c(i) for i in range(15)) for c in defs]
     pr(results)