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

Ex Input:
Tagalog sentence: a) Kung, Patunayan na may mga pagbabagong mula na para sa bawat permutasyon, May index iyon may karaniwang puntos.

Ex Output:
a) If, prove that there are permutations from that for each permutation, there is an index that have common points.


Ex Input:
Tagalog sentence: 24:9 Itaas ninyo ang inyong mga ulo, Oh kayong mga pintuang-bayan; Oo, magsitaas kayo, kayong mga walang hanggang pintuan: at ang hari ng kaluwalhatian ay papasok.

Ex Output:
24:9 Lift up your heads, you gates; yes, lift them up, you everlasting doors, and the King of glory will come in.


Ex Input:
Tagalog sentence: Matematika ay naging isang pagka-akit at siya ubos na ang natitirang bahagi ng kanyang buhay bilang isang masigasig apisyonado dalub-agbilang.

Ex Output:

Mathematics became a fascination and he spent the rest of his life as an enthusiastic amateur mathematician.