§ 4. Final day. a. The final day for the unlimited introduction of bills, including those recommended by the state government, local governments, public authorities and other public corporations and all departments, agencies and other instrumentalities thereof shall be the last Tuesday in May of the second year of the term of the Assembly. After the last Tuesday in May of such second year, no bill shall be introduced except by the Committee on Rules, by message from the Senate or, with the consent of the Speaker, by members elected at a special election who take office on or after the first Tuesday in May. b. Notwithstanding the provisions of subdivision a of this section, bills may be introduced at any time by unanimous consent of the House.