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-rwxr-xr-xchallenge-117/stuart-little/lua/ch-2.lua32
1 files changed, 32 insertions, 0 deletions
diff --git a/challenge-117/stuart-little/lua/ch-2.lua b/challenge-117/stuart-little/lua/ch-2.lua
new file mode 100755
index 0000000000..18af8844d8
--- /dev/null
+++ b/challenge-117/stuart-little/lua/ch-2.lua
@@ -0,0 +1,32 @@
+#!/usr/bin/env lua
+
+-- run <script> <number>
+
+memo={{''},{'R','LH'}}
+function mkPaths(size)
+ if (tonumber(size) >= #memo) then
+ res = {}
+ for _,v in ipairs(mkPaths(size-1)) do
+ table.insert(res, 'R' .. v)
+ end
+ for nr = 0,size-1 do
+ lt = mkPaths(nr)
+ rt = mkPaths(size-1-nr)
+ for _,lft in ipairs(lt) do
+ for _,rght in ipairs(rt) do
+ table.insert(res, 'L' .. lft .. 'H' .. rght)
+ end
+ end
+ end
+ table.insert(memo,res)
+ end
+ return memo[size+1]
+end
+
+for i = 2,arg[1] do
+ mkPaths(i)
+end
+
+for _,v in ipairs(mkPaths(arg[1])) do
+ print(v)
+end