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diff --git a/challenge-112/colin-crain/python/ch-2.py b/challenge-112/colin-crain/python/ch-2.py
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+#!/usr/bin/env python3
+#
+#
+# one-two-up-we-go.py
+#
+#
+#
+# © 2021 colin crain
+## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ##
+
+
+
+from functools import lru_cache
+
+@lru_cache(maxsize = 1000)
+def fib(n):
+ if n < 0:
+ return None
+ if n < 2:
+ return n
+ else:
+ return fib(n-1) + fib(n-2)
+
+
+for i in range(2, 21):
+ ways = fib(i+1)
+ print(f"for {i} steps there are {ways} ways to climb them")