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-rw-r--r--scratch/facebook/recursion-and-dynamic-programming/permutations.py13
1 files changed, 13 insertions, 0 deletions
diff --git a/scratch/facebook/recursion-and-dynamic-programming/permutations.py b/scratch/facebook/recursion-and-dynamic-programming/permutations.py
new file mode 100644
index 000000000000..e23972d4186d
--- /dev/null
+++ b/scratch/facebook/recursion-and-dynamic-programming/permutations.py
@@ -0,0 +1,13 @@
+def char_and_rest(i, xs):
+    return xs[i], xs[:i] + xs[i+1:]
+
+# perms :: String -> [String]
+def perms(xs):
+    if len(xs) == 1:
+        return [xs]
+    result = []
+    for c, rest in [char_and_rest(i, xs) for i in range(len(xs))]:
+        result += [c + perm for perm in perms(rest)]
+    return result
+
+print(perms("cat"))