Is it permissible to cut through the rows during crowding in congregational and individual prayers in the Haram, and does the prayer of a woman who cuts through the rows in the Haram during individual and congregational prayers become invalidated?

It is permissible for a man to break through rows if there is a legitimate religious reason, such as closing a gap or for performing Tawaf and Sa'i. As for a woman, it is not permissible for her to break through rows of men or walk between them due to the prohibition of touching a non-mahram, unless there is an urgent need for it, such as fear of perishing or severe harm; this falls under the category of necessity. A woman's touch does not invalidate a man's prayer unless it results in the emission of madhiy (pre-seminal fluid) or maniy (seminal fluid).