I'm looking for a manga about two school presidents the girl who is the president of all girls school and the boy who is president of all boys school always fighting and all the students do but the two MC have a secret relationship

more clue about this manga They went to the hot springs togther but their classmates found them so the girl pretended that she dating someone else

its shoujo n mybe smut

*im copying that description from Gada Ja Odah in shoujomangalover fb, from her/his description of that manga look insteresting , n he/she said the manga title is not Kishuku Gakkou no Juliet, sorry for my english