List github repos without commits more then 1 year

Gemfile

source 'http://rubygems.org'

gem 'i18n'
gem 'activesupport', '>= 2.3.5'
gem 'octokit', '~> 0.6.0'

github-archive-repos.rb

require 'rubygems'
require 'bundler/setup'
require 'octokit'
require 'active_support/core_ext'

USERNAME = ''
LOGIN = ''
TOKEN = ''

def client
  @client ||= Octokit::Client.new(:login => LOGIN, :token => TOKEN)
end

def repositories
  @repositories ||= client.repositories(USERNAME, :private => true)
end

def expired?(repo, ttl = 12.month)
  client.branches(repo).each do |branch|
    if DateTime.now.to_i - client.commits(repo, branch.first, :page => 1).first.committed_date.to_datetime.to_i < ttl
      return false
    end
  end

  true
end

repositories.each do |repo|
  puts repo.name if repo.private? && expired?(repo)
end