This is starting on defense, winning 1, losing 11, then winning all 12 offense. You are the only one on your team getting kills, and the enemy sage is the only one getting kills on enemy team. All orbs on the map (2) go to the enemy sage. Over the course of your defense the attacking sage gets 10 ults, for ten more kills for you. Over the course of offense the defending sage gets 9 ults, for 9 more kills for you. You get 70 kills on defense, 5 kills a round over 12 rounds (losing due to spike plant and not defusing) and 10 bonus from enemy sage ult. You get 69 kills on defense by getting 5 kills per round over 12 rounds, and then a bonus 9 from enemy sage ult. When considering sage ult we considering how many kills she was allowed to get in order for you the player to still win the round and maximize kills, while still maximizing her ult charge. We also determined that having a sage on your team had no effect on the amount of ults the enemy sage had from killing 1 extra player so your sage is negligible. We got very bored in calculus and I think I did all my math and thinking right lol