-- The Computer Language Benchmarks Game
-- https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
-- contributed by Mike Pall
-- *reset*
local function BottomUpTree(depth)
    if depth > 0 then
        depth = depth - 1
        local left, right = BottomUpTree(depth), BottomUpTree(depth)
        return {left, right}
    else
        return {}
    end
end

local function ItemCheck(tree)
    if tree[1] then
        return 1 + ItemCheck(tree[1]) + ItemCheck(tree[2])
    else
        return 1
    end
end

local N = tonumber(arg and arg[1]) or 0
local mindepth = 4
local maxdepth = mindepth + 2
if maxdepth < N then
    maxdepth = N
end

do
    local stretchdepth = maxdepth + 1
    local stretchtree = BottomUpTree(stretchdepth)
    io.write(string.format("stretch tree of depth %d\t check: %d\n", stretchdepth, ItemCheck(stretchtree)))
end

local longlivedtree = BottomUpTree(maxdepth)

for depth = mindepth, maxdepth, 2 do
    local iterations = 2 ^ (maxdepth - depth + mindepth)
    local check = 0
    for i = 1, iterations do
        check = check + ItemCheck(BottomUpTree(depth))
    end
    io.write(string.format("%d\t trees of depth %d\t check: %d\n", iterations, depth, check))
end

io.write(string.format("long lived tree of depth %d\t check: %d\n", maxdepth, ItemCheck(longlivedtree)))
