Exponents.jl

function exponents_helper(curr_sum::Int, target_sum::Int, remaining_elements::Int)::Vector{Vector{Int}}
    if remaining_elements == 0
        return [[]]
    end
    if curr_sum == target_sum
        return [zeros(Int, remaining_elements)]
    end
    if remaining_elements == 1
        return map(x-> [x], 0:(target_sum - curr_sum))
    end

    results = []
    for x=0:(target_sum-curr_sum)
        remaining_results = exponents_helper(curr_sum + x, target_sum, remaining_elements - 1)
        append!(results, map(xs -> [x; xs], remaining_results))
    end
    results
end
create_exponents(total_degree, nvars) = exponents_helper(0, total_degree, nvars)