Naturalization Eligibility - Please advice

[jiteshg]

My parents become US permanent residents on May 27 1997. They had several trips outside the US which lasted anywhere from a few months to 2 years with a reentry permit. During the time they were out, I continued to claim them as my dependent on my tax returns. However for the last 5 years, they are trying to maintain continuous residence (please see below). When is the earliest they can apply for naturalization?


Mom Travel dates
Arrived in US on Sept 16 2016 - Departed from US on Dec 5 2016
Arrived in US on May 4 2017 - Departed from US on Jun 5 2017
Arrived in US on May 16 2018 - Departed from US on Nov 7 2018
Arrived in US on June 24 2019 and stayed


Dad Travel dates
Arrived in US on Sept 16 2016 - Departed from US on Dec 5 2016
Arrived in US on May 4 2017 - Departed from US on Jun 5 2017
Arrived in US on May 16 2018 - Departed from US on Aug 4 2018
Arrived in US on Sept 4 2018 - Departed from US on Nov 7 2018
Arrived in US on June 24 2019 and stayed

[NYC/She]

Absence from the United States of more than six months but less than one year during the period for which continuous residence is required for admission to citizenship, immediately preceding the date of filing the application for naturalization, or during the period between the date of filing the application and the date of any hearing under section 1447(a) of this title, shall break the continuity of such residence, unless the applicant shall establish to the satisfaction of the Attorney General that he did not in fact abandon his residence in the United States during such period.

Absence from the United States for a continuous period of one year or more during the period for which continuous residence is required for admission to citizenship (whether preceding or subsequent to the filing of the application for naturalization) shall break the continuity of such residence, except that in the case of a person who has been physically present and residing in the United States, after being lawfully admitted for permanent residence, for an uninterrupted period of at least one year, and who thereafter is employed by or under contract with the Government of the United States or an American institution of research recognized as such by the Attorney General, or is employed by an American firm or corporation engaged in whole or in part in the development of foreign trade and commerce of the United States, or a subsidiary thereof more than 50 per centum of whose stock is owned by an American firm or corporation, or is employed by a public international organization of which the United States is a member by treaty or statute and by which the alien was not employed until after being lawfully admitted for permanent residence, no period of absence from the United States shall break the continuity of residence if-

[NYC/She]

They both have to start again unless they have a special work for goverment, National Security, corporation with stock more them 50%
May 16, 2018 mother
June 24, 2019 father