Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

Ex Input:
Tagalog sentence: Patunayan na wala sa mga ito ng dalawang sequences naglalaman ng isang negatibong elemento kung at kung lamang ang mayroon kami .

Ex Output:
Prove that none of these two sequences contain a negative element if and only if we have .


Ex Input:
Tagalog sentence: Sa US, ang pagnanais para sa enerhiya pagsasarili ay na lumitaw sa panahon ng langis embargo ng unang bahagi ng 70 ni.

Ex Output:
In the U.S., the desire for energy independence had already emerged during the oil embargo of the early 70’s. Most of the State of the Union addresses since have elaborated on this objective.


Ex Input:
Tagalog sentence: Inaangkin ng simbahang Katoliko na kaya nitong tuntunin ang linya ng papa mula kay Pedro at ginagamit ang argumentong ito upang patunayan na ang Simbahang Katoliko ang tunay na iglesya dahil ayon sa kanilang interpretasyon, sa Mateo 16:18, itinayo ni Kristo kay Pedro ang iglesya.

Ex Output:

The Roman Catholic Church claims that it can trace an unbroken line of popes back to St. Peter, citing this as evidence that it is the true church, since, according to their interpretation of Matthew 16:18, Christ built His church upon Peter.