1 files changed, 48 insertions, 0 deletions
diff --git a/challenge-125/abigail/lua/ch-1.lua b/challenge-125/abigail/lua/ch-1.lua
new file mode 100644
index 0000000000..1a0efb40c8
--- /dev/null
+++ b/challenge-125/abigail/lua/ch-1.lua
@@ -0,0 +1,48 @@
+#!/opt/local/bin/lua
+
+--
+-- See ../README.md
+--
+
+--
+-- Run as: lua ch-1.lua < input-file
+--
+
+function introot (square)
+    return (math . floor (.4 + math . sqrt (square)))
+end
+
+
+for line in io . lines () do
+    local n = tonumber (line)
+    if n <= 2 then
+        print (-1)
+        goto end_loop
+    end
+
+    local n_sq = n * n
+    local c    = n + 1
+    local c_sq = n_sq + 2 * n + 1
+    while 2 * c - 1 <= n_sq do
+        local b_sq = c_sq - n_sq
+        local b    = introot (b_sq)
+
+        if b_sq == b * b then
+            print (n .. " " .. b .. " " .. c)
+        end
+
+        c_sq = c_sq + 2 * c + 1
+        c    = c + 1
+    end
+
+    local max_a = math . floor (n / math . sqrt (2))
+    for a = 3, max_a do
+        local b_sq = n_sq - a * a
+        local b    = introot (b_sq)
+        if b_sq == b * b then
+            print (a .. " " .. b .. " " .. n)
+        end
+    end
+
+    ::end_loop::
+end