Start by naming any country that France borders. Then name any country that borders any of those countries. Then keep going until there are no more countries left to name.
Interesting quiz, however the presence or absence of the definite article seems highly inconsistent. Ideally, you should either keep it in front of all country names that require it (most of them) or remove it altogether. Also, you used the genitive Eireann for Ireland instead of the nominative Eire.