The Red Cathedral

In a two-player game, how many Prestige Points does the player with the lower presence in a tower gains?

A third of the total
The player with the greater presence in the tower (more Banners and Ornamentations) gets all of the points granted by that tower and the other player, if they are present in that tower, gets one third of the total instead of half (always rounding down). If they are tied, neither player gets any points for that tower.