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author冯昶 <seaker@qq.com>2021-04-23 11:23:51 +0800
committer冯昶 <seaker@qq.com>2021-04-23 11:23:51 +0800
commit9f5a7a1af0399189b53be44ee94d534606cb8bdd (patch)
treecf1e2bfe0ff9e63af11cb3dea9f7a79c1d2b726d /challenge-104/abigail/python/ch-1a.py
parentf07721a447942936d7189b4beec3c2acae0c635d (diff)
parent9571f967ddd4d11a0195c2b9f8f3fbb63fad9a15 (diff)
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diff --git a/challenge-104/abigail/python/ch-1a.py b/challenge-104/abigail/python/ch-1a.py
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+#!/opt/local/bin/python
+
+#
+# See ../README.md
+#
+
+#
+# Run as: python ch-1a.py
+#
+
+#
+# Initialize the cache
+#
+cache = {0: 0, 1: 1}
+max = 50
+
+#
+# Fusc sequence is defined as:
+# ( n, 0 <= n <= 1
+# fusc (n) = { fusc (n / 2), n > 1 && n even
+# ( fusc ((n - 1) / 2) + fusc ((n + 1) / 2), n > 1 && n odd
+#
+def fusc (n):
+ if n not in cache:
+ if n % 2 == 1:
+ cache [n] = fusc ((n - 1) / 2) + fusc ((n + 1) / 2)
+ else:
+ cache [n] = fusc (n / 2)
+
+ return cache [n]
+
+
+#
+# Calculate the first results of the fucs series, and print them
+#
+for i in range (max):
+ if i > 0:
+ print (' ', end = "")
+ print (fusc (i), end = "")
+
+print ("")