So with Primal Vigor, instead of using X token creations to create X new Toralfs (doubling to 2X), we can create Primal Vigors X-1 times and then create a Toralf, taking the number to about 2^^X. That seems like a lot, but it basically improves the gain from deal X damage from 2 -> X -> X-2 to 2 -> X -> X. So it's like getting a bump of 2 on the initial damage.
Yeah, I ended up writing a program to play through the Toralf stage, to figure out how exactly we get out of the small numbers. Turns out that Outnumber version is way better than Kahmal's Will. As expected the extra repetitions are very strong.
Then we can spend 4 mana to cast Outnumber with replicate, targeting 4 different of the opponent 1/1s.
From there my program takes over and gives a line of play until we have 14 creatures:
We have 0 mana and control 6 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 1 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 15 damage without dying.
The stack looks like this:
4x Outnumber
--------------------------------------------------
We resolve Outnumber for 6 damage, 5 of which are overkill and trigger 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 5 Mana. 4 of the damage is overkill and triggers 1 Toralf abilities.
The opponent has no untargeted 1/1s. We have 1 abilities left to assign.
All of them hit the opponent for 4 damage with lifelink. They have 16 life left and we now have 9 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 20. We have 7 creatures and 2 mana left.
-- We now have 1 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve Outnumber for 7 damage, 6 of which are overkill and trigger 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 8 Mana. 5 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 24. We have 8 creatures and 1 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 Mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 2 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 13 life left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 29. We have 9 creatures and 6 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 9 Mana. 2 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 10 creatures and 2 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 30 excess toughness left and we now have 7 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 34. We have 11 creatures and 0 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 4 Toralf abilities.
All of them hit the excess toughness of our creatures for 4 damage with lifelink. We have 30 excess toughness left and we now have 6 mana.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 4 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 10 life left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 35. We have 12 creatures and 6 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 9 Mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 39. We have 13 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 34 excess toughness left and we now have 9 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 38. We have 14 creatures and 2 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
--------------------------------------------------
We have 2 mana and control 14 creatures, 6 of which have Toralf's ability.
The opponent is at 10 life and controls 1 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 38 damage without dying.
The stack looks like this:
3x Toralf's ability for 2 damage
2x Toralf's ability for 3 damage
2x Outnumber
At that point the next Outnumber will be as strong as the sole Kahmal's Will we could have instead. And we still have a few abilities to go until then. And afterwards there is another copy of Outnumber. So this is clearly better.
By the time we get to the next Outnumber we will have 175 creatures. (According to the program.) From there the next Outnumber takes us to 2^^...^^2 with 173 up arrows.
The last Outnumber then gets us to 2^^...^^2 where the number of up arrows is 2^^...^^2 where the number of up arrows is 173.
And that is how much damage we can deal with 10 cards.
Yeah, I ended up writing a program to play through the Toralf stage, to figure out how exactly we get out of the small numbers. Turns out that Outnumber version is way better than Kahmal's Will. As expected the extra repetitions are very strong.
Then we can spend 4 mana to cast Outnumber with replicate, targeting 4 different of the opponent 1/1s.
From there my program takes over and gives a line of play until we have 14 creatures:
We have 0 mana and control 6 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 1 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 15 damage without dying.
The stack looks like this:
4x Outnumber
--------------------------------------------------
We resolve Outnumber for 6 damage, 5 of which are overkill and trigger 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 5 Mana. 4 of the damage is overkill and triggers 1 Toralf abilities.
The opponent has no untargeted 1/1s. We have 1 abilities left to assign.
All of them hit the opponent for 4 damage with lifelink. They have 16 life left and we now have 9 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 20. We have 7 creatures and 2 mana left.
-- We now have 1 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve Outnumber for 7 damage, 6 of which are overkill and trigger 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 8 Mana. 5 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 24. We have 8 creatures and 1 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 Mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 2 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 13 life left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 29. We have 9 creatures and 6 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 9 Mana. 2 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 10 creatures and 2 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 30 excess toughness left and we now have 7 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 34. We have 11 creatures and 0 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 4 Toralf abilities.
All of them hit the excess toughness of our creatures for 4 damage with lifelink. We have 30 excess toughness left and we now have 6 mana.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 4 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 10 life left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 35. We have 12 creatures and 6 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 9 Mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 39. We have 13 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 34 excess toughness left and we now have 9 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 38. We have 14 creatures and 2 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
--------------------------------------------------
We have 2 mana and control 14 creatures, 6 of which have Toralf's ability.
The opponent is at 10 life and controls 1 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 38 damage without dying.
The stack looks like this:
3x Toralf's ability for 2 damage
2x Toralf's ability for 3 damage
2x Outnumber
At that point the next Outnumber will be as strong as the sole Kahmal's Will we could have instead. And we still have a few abilities to go until then. And afterwards there is another copy of Outnumber. So this is clearly better.
By the time we get to the next Outnumber we will have 175 creatures. (According to the program.) From there the next Outnumber takes us to 2^^...^^2 with 173 up arrows.
The last Outnumber then gets us to 2^^...^^2 where the number of up arrows is 2^^...^^2 where the number of up arrows is 173.
And that is how much damage we can deal with 10 cards.
Nice! And interesting that we get so little out of the first Outnumber, but it makes sense that refilling our opponent on non-conflicting tokens is a priority.
I'm also thinking about the library rules again. The fact that Ardent Dustspeaker doesn't work with a full library is annoying, but regardless, it seems like it should be good for the "otherwise empty library" version of the challenge, which is neat. This does require using a single non-replicated instant for the initial round, but Kamahl's Will should get us there:
With Kamahl's Will we have a 11 damage Toralf ability still on the stack when we break out of the small numbers
We have 0 mana and control 6 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 14 damage without dying. Their total power is 14
The stack looks like this:
1x Kahmal's Will
--------------------------------------------------
We resolve Kahmal's Will for 14 damage, 3 of which have lifelink. We now have 3 mana.
13 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 13 damage with lifelink. We are now at 16 Mana. 12 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 23. We have 8 creatures and 2 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 12 damage with lifelink. We are now at 14 Mana. 11 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 5 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 31. We have 10 creatures and 0 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 11 damage with lifelink. We are now at 11 Mana. 10 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 36. We have 11 creatures and 4 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 6 untargeted 1/1s.
We resolve a Toralf ability for 10 damage with lifelink. We are now at 14 Mana. 9 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 45. We have 13 creatures and 0 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 9 damage with lifelink. We are now at 9 Mana. 8 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 50. We have 14 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 8 damage with lifelink. We are now at 10 Mana. 7 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 55. We have 15 creatures and 3 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 10 Mana. 6 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 60. We have 16 creatures and 3 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 9 Mana. 5 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 65. We have 17 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 7 Mana. 4 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 70. We have 18 creatures and 0 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 4 Mana. 3 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 Mana. 2 of the damage is overkill and triggers 5 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 6 damage with lifelink. They have 14 life left and we now have 13 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 74. We have 19 creatures and 6 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 68 excess toughness left and we now have 14 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 76. We have 21 creatures and 0 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 8 Toralf abilities.
All of them hit the excess toughness of our creatures for 8 damage with lifelink. We have 68 excess toughness left and we now have 10 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 73. We have 22 creatures and 3 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 6 Mana. 2 of the damage is overkill and triggers 8 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 6 damage with lifelink. They have 8 life left and we now have 12 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 77. We have 23 creatures and 5 mana left.
-- We now have 9 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 68 excess toughness left and we now have 16 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 76. We have 25 creatures and 2 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 11 Toralf abilities.
All of them hit the excess toughness of our creatures for 11 damage with lifelink. We have 65 excess toughness left and we now have 15 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 73. We have 27 creatures and 1 mana left.
-- We now have 13 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 13 Toralf abilities.
All of them hit the excess toughness of our creatures for 13 damage with lifelink. We have 60 excess toughness left and we now have 16 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 68. We have 29 creatures and 2 mana left.
-- We now have 15 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 53 excess toughness left and we now have 19 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 61. We have 31 creatures and 5 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 44 excess toughness left and we now have 24 mana.
-- We create 3 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 59. We have 34 creatures and 3 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 15 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 6 Mana. 2 of the damage is overkill and triggers 17 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 2 abilities left to assign.
All of them hit the opponent for 4 damage with lifelink. They have 4 life left and we now have 10 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 63. We have 35 creatures and 3 mana left.
-- We now have 18 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 Mana. 1 of the damage is overkill and triggers 18 Toralf abilities.
All of them hit the excess toughness of our creatures for 18 damage with lifelink. We have 45 excess toughness left and we now have 23 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 57. We have 38 creatures and 2 mana left.
-- We now have 21 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
--------------------------------------------------
We have 2 mana and control 38 creatures, 21 of which have Toralf's ability.
The opponent is at 4 life and controls 0 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 57 damage without dying. Their total power is 122
The stack looks like this:
14x Toralf's ability for 2 damage
2x Toralf's ability for 3 damage
4x Toralf's ability for 4 damage
4x Toralf's ability for 5 damage
4x Toralf's ability for 6 damage
4x Toralf's ability for 7 damage
4x Toralf's ability for 8 damage
3x Toralf's ability for 9 damage
3x Toralf's ability for 10 damage
1x Toralf's ability for 11 damage
So after resolving that we should have roughly 2^^^^^^^^^2 tokens. (9 up-arrows)
Then that many Ardent Dustspeakers can attack, each casting a Kamahl's Will. We end up with f_w+1(2^^^^^^^^^2) damage, handily beating graham's number. If we allow ourselves to start with 10 cards and an otherwise empty library.
We have 0 mana and control 5 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 11 damage without dying. Their total power is 11
The stack looks like this:
1x Kahmal's Will
--------------------------------------------------
We resolve Kahmal's Will for 11 damage, 3 of which have lifelink. We now have 3 mana.
10 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 10 damage with lifelink. We are now at 13 Mana. 9 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 15. We have 6 creatures and 6 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 2 untargeted 1/1s.
We resolve a Toralf ability for 9 damage with lifelink. We are now at 15 Mana. 8 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 24. We have 8 creatures and 1 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 8 damage with lifelink. We are now at 9 Mana. 7 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 29. We have 9 creatures and 2 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 9 Mana. 6 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 10 creatures and 2 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 4 untargeted 1/1s.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 8 Mana. 5 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 38. We have 11 creatures and 1 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 Mana. 4 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 4 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 9 damage with lifelink. They have 11 life left and we now have 19 mana.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 47. We have 13 creatures and 5 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 Mana. 2 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 51. We have 14 creatures and 1 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 45 excess toughness left and we now have 9 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 49. We have 15 creatures and 2 mana left.
-- We now have 7 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 42 excess toughness left and we now have 11 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 46. We have 16 creatures and 4 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 6 Mana. 1 of the damage is overkill and triggers 8 Toralf abilities.
All of them hit the excess toughness of our creatures for 8 damage with lifelink. We have 38 excess toughness left and we now have 14 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 46. We have 18 creatures and 0 mana left.
-- We now have 10 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 10 Toralf abilities.
All of them hit the excess toughness of our creatures for 10 damage with lifelink. We have 36 excess toughness left and we now have 12 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 40. We have 19 creatures and 5 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 11 Toralf abilities.
All of them hit the excess toughness of our creatures for 11 damage with lifelink. We have 29 excess toughness left and we now have 18 mana.
-- We create 2 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 39. We have 21 creatures and 4 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 10 untargeted 1/1s.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 8 Mana. 3 of the damage is overkill and triggers 11 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 8 life left and we now have 11 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 44. We have 22 creatures and 4 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 Mana. 2 of the damage is overkill and triggers 11 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 6 abilities left to assign.
3 of them hit the opponent for 6. They have 2 life left and we now have 13 mana.
The rest of them hit our own face and don't do anything.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 48. We have 23 creatures and 6 mana left.
-- We now have 12 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 36 excess toughness left and we now have 20 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 44. We have 25 creatures and 6 mana left.
-- We now have 14 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 14 Toralf abilities.
All of them hit the excess toughness of our creatures for 14 damage with lifelink. We have 30 excess toughness left and we now have 22 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 42. We have 28 creatures and 1 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 25 excess toughness left and we now have 20 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 30 creatures and 6 mana left.
-- We now have 19 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 19 Toralf abilities.
All of them hit the excess toughness of our creatures for 19 damage with lifelink. We have 14 excess toughness left and we now have 27 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 26. We have 33 creatures and 6 mana left.
-- We now have 22 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
--------------------------------------------------
We have 6 mana and control 33 creatures, 22 of which have Toralf's ability.
The opponent is at 2 life and controls 0 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 26 damage without dying. Their total power is 102
The stack looks like this:
1x Toralf's ability for 2 damage
9x Toralf's ability for 3 damage
2x Toralf's ability for 4 damage
3x Toralf's ability for 5 damage
2x Toralf's ability for 6 damage
2x Toralf's ability for 7 damage
1x Toralf's ability for 8 damage
With an 8 damage ability still on the stack when we escape small numbers we should be able to deal 2^^^^^^2 damage. (6 up-arrows)
With Kamahl's Will we have a 11 damage Toralf ability still on the stack when we break out of the small numbers
We have 0 mana and control 6 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 14 damage without dying. Their total power is 14
The stack looks like this:
1x Kahmal's Will
--------------------------------------------------
We resolve Kahmal's Will for 14 damage, 3 of which have lifelink. We now have 3 mana.
13 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 13 damage with lifelink. We are now at 16 Mana. 12 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 23. We have 8 creatures and 2 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 12 damage with lifelink. We are now at 14 Mana. 11 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 5 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 31. We have 10 creatures and 0 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 11 damage with lifelink. We are now at 11 Mana. 10 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 36. We have 11 creatures and 4 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 6 untargeted 1/1s.
We resolve a Toralf ability for 10 damage with lifelink. We are now at 14 Mana. 9 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 45. We have 13 creatures and 0 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 9 damage with lifelink. We are now at 9 Mana. 8 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 50. We have 14 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 8 damage with lifelink. We are now at 10 Mana. 7 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 55. We have 15 creatures and 3 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 10 Mana. 6 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 60. We have 16 creatures and 3 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 9 Mana. 5 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 65. We have 17 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 7 Mana. 4 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 70. We have 18 creatures and 0 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 4 Mana. 3 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 Mana. 2 of the damage is overkill and triggers 5 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 6 damage with lifelink. They have 14 life left and we now have 13 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 74. We have 19 creatures and 6 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 68 excess toughness left and we now have 14 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 76. We have 21 creatures and 0 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 8 Toralf abilities.
All of them hit the excess toughness of our creatures for 8 damage with lifelink. We have 68 excess toughness left and we now have 10 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 73. We have 22 creatures and 3 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 6 Mana. 2 of the damage is overkill and triggers 8 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 6 damage with lifelink. They have 8 life left and we now have 12 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 77. We have 23 creatures and 5 mana left.
-- We now have 9 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 68 excess toughness left and we now have 16 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 76. We have 25 creatures and 2 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 11 Toralf abilities.
All of them hit the excess toughness of our creatures for 11 damage with lifelink. We have 65 excess toughness left and we now have 15 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 73. We have 27 creatures and 1 mana left.
-- We now have 13 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 13 Toralf abilities.
All of them hit the excess toughness of our creatures for 13 damage with lifelink. We have 60 excess toughness left and we now have 16 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 68. We have 29 creatures and 2 mana left.
-- We now have 15 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 53 excess toughness left and we now have 19 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 61. We have 31 creatures and 5 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 44 excess toughness left and we now have 24 mana.
-- We create 3 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 59. We have 34 creatures and 3 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 15 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 6 Mana. 2 of the damage is overkill and triggers 17 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 2 abilities left to assign.
All of them hit the opponent for 4 damage with lifelink. They have 4 life left and we now have 10 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 63. We have 35 creatures and 3 mana left.
-- We now have 18 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 Mana. 1 of the damage is overkill and triggers 18 Toralf abilities.
All of them hit the excess toughness of our creatures for 18 damage with lifelink. We have 45 excess toughness left and we now have 23 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 57. We have 38 creatures and 2 mana left.
-- We now have 21 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
--------------------------------------------------
We have 2 mana and control 38 creatures, 21 of which have Toralf's ability.
The opponent is at 4 life and controls 0 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 57 damage without dying. Their total power is 122
The stack looks like this:
14x Toralf's ability for 2 damage
2x Toralf's ability for 3 damage
4x Toralf's ability for 4 damage
4x Toralf's ability for 5 damage
4x Toralf's ability for 6 damage
4x Toralf's ability for 7 damage
4x Toralf's ability for 8 damage
3x Toralf's ability for 9 damage
3x Toralf's ability for 10 damage
1x Toralf's ability for 11 damage
So after resolving that we should have roughly 2^^^^^^^^^2 tokens. (9 up-arrows)
Then that many Ardent Dustspeakers can attack, each casting a Kamahl's Will. We end up with f_w(2^^^^^^^^^2) damage, handily beating graham's number. If we allow ourselves to start with 10 cards and an otherwise empty library.
We have 0 mana and control 5 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 11 damage without dying. Their total power is 11
The stack looks like this:
1x Kahmal's Will
--------------------------------------------------
We resolve Kahmal's Will for 11 damage, 3 of which have lifelink. We now have 3 mana.
10 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 10 damage with lifelink. We are now at 13 Mana. 9 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 15. We have 6 creatures and 6 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 2 untargeted 1/1s.
We resolve a Toralf ability for 9 damage with lifelink. We are now at 15 Mana. 8 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 24. We have 8 creatures and 1 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 8 damage with lifelink. We are now at 9 Mana. 7 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 29. We have 9 creatures and 2 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 9 Mana. 6 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 10 creatures and 2 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 4 untargeted 1/1s.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 8 Mana. 5 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 38. We have 11 creatures and 1 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 Mana. 4 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 4 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 9 damage with lifelink. They have 11 life left and we now have 19 mana.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 47. We have 13 creatures and 5 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 Mana. 2 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 51. We have 14 creatures and 1 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 45 excess toughness left and we now have 9 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 49. We have 15 creatures and 2 mana left.
-- We now have 7 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 42 excess toughness left and we now have 11 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 46. We have 16 creatures and 4 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 6 Mana. 1 of the damage is overkill and triggers 8 Toralf abilities.
All of them hit the excess toughness of our creatures for 8 damage with lifelink. We have 38 excess toughness left and we now have 14 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 46. We have 18 creatures and 0 mana left.
-- We now have 10 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 10 Toralf abilities.
All of them hit the excess toughness of our creatures for 10 damage with lifelink. We have 36 excess toughness left and we now have 12 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 40. We have 19 creatures and 5 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 11 Toralf abilities.
All of them hit the excess toughness of our creatures for 11 damage with lifelink. We have 29 excess toughness left and we now have 18 mana.
-- We create 2 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 39. We have 21 creatures and 4 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 10 untargeted 1/1s.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 8 Mana. 3 of the damage is overkill and triggers 11 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 8 life left and we now have 11 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 44. We have 22 creatures and 4 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 Mana. 2 of the damage is overkill and triggers 11 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 6 abilities left to assign.
3 of them hit the opponent for 6. They have 2 life left and we now have 13 mana.
The rest of them hit our own face and don't do anything.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 48. We have 23 creatures and 6 mana left.
-- We now have 12 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 36 excess toughness left and we now have 20 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 44. We have 25 creatures and 6 mana left.
-- We now have 14 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 14 Toralf abilities.
All of them hit the excess toughness of our creatures for 14 damage with lifelink. We have 30 excess toughness left and we now have 22 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 42. We have 28 creatures and 1 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 25 excess toughness left and we now have 20 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 30 creatures and 6 mana left.
-- We now have 19 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 19 Toralf abilities.
All of them hit the excess toughness of our creatures for 19 damage with lifelink. We have 14 excess toughness left and we now have 27 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 26. We have 33 creatures and 6 mana left.
-- We now have 22 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
--------------------------------------------------
We have 6 mana and control 33 creatures, 22 of which have Toralf's ability.
The opponent is at 2 life and controls 0 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 26 damage without dying. Their total power is 102
The stack looks like this:
1x Toralf's ability for 2 damage
9x Toralf's ability for 3 damage
2x Toralf's ability for 4 damage
3x Toralf's ability for 5 damage
2x Toralf's ability for 6 damage
2x Toralf's ability for 7 damage
1x Toralf's ability for 8 damage
With an 8 damage ability still on the stack when we escape small numbers we should be able to deal 2^^^^^^2 damage. (6 up-arrows)
That's a hell of a number.
Speaking of playing with rules - in a multiplayer format (everyone draws T1) with at least 27 starting life, we could pull it off with 10 cards and an otherwise full library like this:
Keep in mind that 2^^^...^^^2 is always 4, so we need to bump the last number up a bit. Usually if we start with 2, we want the last number to be at least 4, since 2^^^...^^^3 = 2^^^...^^4, with one less arrow before the 4.
I think 6 up arrows is the largest I have seen for 9 cards, but I would imagine we could do better. I guess if we go second, we can draw the 8 cards other than Mind's Desire, so this could be the 8 card record.
Keep in mind that 2^^^...^^^2 is always 4, so we need to bump the last number up a bit. Usually if we start with 2, we want the last number to be at least 4, since 2^^^...^^^3 = 2^^^...^^4, with one less arrow before the 4.
I think 6 up arrows is the largest I have seen for 9 cards, but I would imagine we could do better. I guess if we go second, we can draw the 8 cards other than Mind's Desire, so this could be the 8 card record.
Hmm. Casting Lattice/Assembler/Toralf/Cubwarden/Will costs 24 mana if we don't have Mind's Desire to help, so like with the Melek strategy, it'd work at higher starting life but not conventional 8 card.
Edit: If we're assuming higher starting life for the 8 card challenge, whatever that starting life is could leave room to optimize further.
Keep in mind that 2^^^...^^^2 is always 4, so we need to bump the last number up a bit. Usually if we start with 2, we want the last number to be at least 4, since 2^^^...^^^3 = 2^^^...^^4, with one less arrow before the 4.
Yeees, I totally meant to say that all those decks deal more than 4 damage. Because they do!
I think we can do more than Graham's number damage using 10 cards and normal rules:
Play Black Lotus (6 cards in hand)
Play Channel. Always convert all but 1 life to mana (20 mana, 5 cards in hand)
Play Mycosynth Lattice (14 mana, 4 cards in hand)
Play Urza, Lord High Artificie. Get a Construct token. Always tap all artifacts for mana. To start with that are three, thanks to Mycosynth Lattice (13 mana, 3 cards in hand)
Activate Urza. Reveal and play Cogwork Assemble. (9 mana, 3 cards in hand)
Activate Urza. Reveal and play Toralf, God of Fury (5 mana, 3 cards in hand)
Mutate Cubwarden onto Toralf. Put Cubwarden on top, so the resulting creature is non-legendary and has lifelink plus Toralf's ability. Get two 1/1 Cats. (3 mana, 2 cards in hand)
Play Hunted Phantasm. The opponent gets 5 1/1s (1 mana, 1 card in hand)
We now have 7 creatures. Thanks to Mycosynth Lattice that makes the Construct token 8/8
Now it gets fun:
Use the last mana to cast Prey Upon and have the Construct fight one of the opponents creatures.
This starts the Toralf stage. 8 damage is just enough to escape the small numbers:
We have 0 mana and control 7 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 20 damage without dying. Their total power is 20
The stack looks like this:
1x Prey Upon
--------------------------------------------------
We resolve Prey Upon. In the fight our creature deals 8 damage.
7 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 7 Mana. 6 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 2.
-- That increases our excess toughness to 25. We have 8 creatures and 0 mana left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 6 Mana. 5 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 11 Mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
The opponent has no untargeted 1/1s. We have 2 abilities left to assign.
All of them hit the opponent for 8 damage with lifelink. They have 12 life left and we now have 19 mana.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- We create 1 new Toralf-Cubwarden mutants. We now have 3.
-- That increases our excess toughness to 36. We have 10 creatures and 5 mana left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 10 Mana. 4 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 7 untargeted 1/1s.
-- That increases our excess toughness to 42. We have 11 creatures and 3 mana left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 7 Mana. 3 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 4.
-- That increases our excess toughness to 47. We have 12 creatures and 0 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 3 Mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 Mana. 1 of the damage is overkill and triggers 4 Toralf abilities.
All of them hit the excess toughness of our creatures for 4 damage with lifelink. We have 43 excess toughness left and we now have 9 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 5.
-- That increases our excess toughness to 48. We have 13 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 43 excess toughness left and we now have 9 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 6.
-- That increases our excess toughness to 48. We have 14 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 42 excess toughness left and we now have 10 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 7.
-- That increases our excess toughness to 47. We have 15 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 Mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 40 excess toughness left and we now have 12 mana.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 46. We have 16 creatures and 5 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 Mana. 2 of the damage is overkill and triggers 7 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 2 abilities left to assign.
All of them hit the opponent for 4 damage with lifelink. They have 8 life left and we now have 12 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 8.
-- That increases our excess toughness to 51. We have 17 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 8 Toralf abilities.
All of them hit the excess toughness of our creatures for 8 damage with lifelink. We have 43 excess toughness left and we now have 15 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 10.
-- That increases our excess toughness to 53. We have 19 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 10 Toralf abilities.
All of them hit the excess toughness of our creatures for 10 damage with lifelink. We have 43 excess toughness left and we now have 13 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 11.
-- That increases our excess toughness to 48. We have 20 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 11 Toralf abilities.
All of them hit the excess toughness of our creatures for 11 damage with lifelink. We have 37 excess toughness left and we now have 19 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 13.
-- That increases our excess toughness to 47. We have 22 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 13 Toralf abilities.
All of them hit the excess toughness of our creatures for 13 damage with lifelink. We have 34 excess toughness left and we now have 20 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 15.
-- That increases our excess toughness to 44. We have 24 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 29 excess toughness left and we now have 23 mana.
-- We create 3 new Hunted Phantasm tokens. Now the opponent has 15 untargeted 1/1s.
-- That increases our excess toughness to 47. We have 27 creatures and 2 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 5 Mana. 2 of the damage is overkill and triggers 15 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 32 excess toughness left and we now have 22 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 18.
-- That increases our excess toughness to 47. We have 30 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 18 Toralf abilities.
All of them hit the excess toughness of our creatures for 18 damage with lifelink. We have 29 excess toughness left and we now have 21 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 21.
-- That increases our excess toughness to 44. We have 33 creatures and 0 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 21 Toralf abilities.
All of them hit the excess toughness of our creatures for 21 damage with lifelink. We have 23 excess toughness left and we now have 23 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 24.
-- That increases our excess toughness to 38. We have 36 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 24 Toralf abilities.
All of them hit the excess toughness of our creatures for 24 damage with lifelink. We have 14 excess toughness left and we now have 28 mana.
-- We create 1 new Urza Construct token. We now have 2.
-- We create 3 new Toralf-Cubwarden mutants. We now have 27.
-- That increases our excess toughness to 70. We have 40 creatures and 0 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 27 Toralf abilities.
All of them hit the excess toughness of our creatures for 27 damage with lifelink. We have 43 excess toughness left and we now have 29 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 31.
-- That increases our excess toughness to 67. We have 44 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 31 Toralf abilities.
All of them hit the excess toughness of our creatures for 31 damage with lifelink. We have 36 excess toughness left and we now have 34 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 35.
-- That increases our excess toughness to 60. We have 48 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 35 Toralf abilities.
All of them hit the excess toughness of our creatures for 35 damage with lifelink. We have 25 excess toughness left and we now have 43 mana.
-- We create 1 new Urza Construct token. We now have 3.
-- We create 5 new Toralf-Cubwarden mutants. We now have 40.
-- That increases our excess toughness to 111. We have 54 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 40 Toralf abilities.
All of them hit the excess toughness of our creatures for 40 damage with lifelink. We have 71 excess toughness left and we now have 43 mana.
-- We create 6 new Toralf-Cubwarden mutants. We now have 46.
-- That increases our excess toughness to 113. We have 60 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 46 Toralf abilities.
All of them hit the excess toughness of our creatures for 46 damage with lifelink. We have 67 excess toughness left and we now have 49 mana.
-- We create 7 new Toralf-Cubwarden mutants. We now have 53.
-- That increases our excess toughness to 116. We have 67 creatures and 0 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 53 Toralf abilities.
All of them hit the excess toughness of our creatures for 53 damage with lifelink. We have 63 excess toughness left and we now have 55 mana.
-- We create 7 new Toralf-Cubwarden mutants. We now have 60.
-- That increases our excess toughness to 112. We have 74 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 60 Toralf abilities.
All of them hit the excess toughness of our creatures for 60 damage with lifelink. We have 52 excess toughness left and we now have 68 mana.
-- We create 1 new Urza Construct token. We now have 4.
-- We create 8 new Toralf-Cubwarden mutants. We now have 68.
-- That increases our excess toughness to 194. We have 83 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 68 Toralf abilities.
All of them hit the excess toughness of our creatures for 68 damage with lifelink. We have 126 excess toughness left and we now have 75 mana.
-- We create 10 new Toralf-Cubwarden mutants. We now have 78.
-- That increases our excess toughness to 206. We have 93 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 78 Toralf abilities.
All of them hit the excess toughness of our creatures for 78 damage with lifelink. We have 128 excess toughness left and we now have 85 mana.
-- We create 12 new Toralf-Cubwarden mutants. We now have 90.
-- That increases our excess toughness to 224. We have 105 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 90 Toralf abilities.
All of them hit the excess toughness of our creatures for 90 damage with lifelink. We have 134 excess toughness left and we now have 93 mana.
-- We create 13 new Toralf-Cubwarden mutants. We now have 103.
-- That increases our excess toughness to 238. We have 118 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 103 Toralf abilities.
All of them hit the excess toughness of our creatures for 103 damage with lifelink. We have 135 excess toughness left and we now have 107 mana.
-- We create 15 new Hunted Phantasm tokens. Now the opponent has 75 untargeted 1/1s.
-- That increases our excess toughness to 270. We have 133 creatures and 2 mana left.
--------------------------------------------------
We have 2 mana and control 133 creatures, 103 of which have Toralf's ability.
The opponent is at 8 life and controls 75 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 270 damage without dying. Their total power is 938
The stack looks like this:
2x Toralf's ability for 4 damage
With two 4 damage abilities on the stack after escaping small numbers we apply 2^^x twice, starting with some x >= 75. So we reach 2^^2^^75. We'll take that in mana.
Activate Urza. Reveal and play Surtland Flinger.
Use Cogwork Assembler to create 2^^2^^75 Surtland Flinger tokens. (With those numbers dividing by 7 doesn't really matter, we certainly rounded down more before).
Attack with all the hasty Surtland Flingers. The ability triggers 2^^2^^75 times. For every instance of the ability sacrifice a Construct token from Urza. It will then deal damage equal to the current progress X and going through the Toralf stage raises the progress more than to 2^^...^^4 with X-2 up-arrows.
We end up with f_w+1(2^^2^^75). To convert that into damage we can target the opponent with a Toralf ability triggered by the last Surtland Flinger ability. Or we can have an attacking Construct that sticks around the entire time and increases its power accordingly. Either way the opponent is dead
The damage we end up with is bigger than f_w+1(2^^2^^75) > f_w+1(64) > Graham's number
I forgot to tell my program to use Urza, Lord High Artificer to tap newly created creatures for mana. With that fixed I get slightly bigger numbers:
We have 0 mana and control 7 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 20 damage without dying. Their total power is 20
The stack looks like this:
1x Prey Upon
--------------------------------------------------
We resolve Prey Upon. In the fight our creature deals 8 damage.
7 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 7 mana. 6 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 2.
-- That increases our excess toughness to 25. We have 8 creatures and 1 mana left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 7 mana. 5 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 31. We have 9 creatures and 1 mana left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 mana. 3 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 6 untargeted 1/1s.
-- That increases our excess toughness to 37. We have 10 creatures and 4 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 mana. 2 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 3.
-- That increases our excess toughness to 42. We have 11 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 39 excess toughness left and we now have 6 mana.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 36 excess toughness left and we now have 11 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 4.
-- That increases our excess toughness to 41. We have 12 creatures and 5 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 5.
-- That increases our excess toughness to 46. We have 13 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 41 excess toughness left and we now have 9 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 6.
-- That increases our excess toughness to 46. We have 14 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 40 excess toughness left and we now have 11 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 7.
-- That increases our excess toughness to 45. We have 15 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 38 excess toughness left and we now have 14 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 9.
-- That increases our excess toughness to 48. We have 17 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 39 excess toughness left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 45. We have 18 creatures and 7 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 10 untargeted 1/1s.
-- That increases our excess toughness to 51. We have 19 creatures and 1 mana left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 5 mana. 3 of the damage is overkill and triggers 9 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 mana. 2 of the damage is overkill and triggers 9 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 8 abilities left to assign.
All of them hit the opponent for 16 damage with lifelink. They have 4 life left and we now have 24 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 12.
-- That increases our excess toughness to 66. We have 22 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 54 excess toughness left and we now have 20 mana.
-- We create 2 new Hunted Phantasm tokens. Now the opponent has 10 untargeted 1/1s.
-- That increases our excess toughness to 66. We have 24 creatures and 8 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 15 untargeted 1/1s.
-- That increases our excess toughness to 72. We have 25 creatures and 2 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 5 mana. 2 of the damage is overkill and triggers 12 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 60 excess toughness left and we now have 19 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 14.
-- That increases our excess toughness to 70. We have 27 creatures and 7 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 15.
-- That increases our excess toughness to 75. We have 28 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 60 excess toughness left and we now have 18 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 17.
-- That increases our excess toughness to 70. We have 30 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 53 excess toughness left and we now have 25 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 20.
-- That increases our excess toughness to 68. We have 33 creatures and 7 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 21.
-- That increases our excess toughness to 73. We have 34 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 21 Toralf abilities.
All of them hit the excess toughness of our creatures for 21 damage with lifelink. We have 52 excess toughness left and we now have 24 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 24.
-- That increases our excess toughness to 67. We have 37 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 24 Toralf abilities.
All of them hit the excess toughness of our creatures for 24 damage with lifelink. We have 43 excess toughness left and we now have 32 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 28.
-- That increases our excess toughness to 63. We have 41 creatures and 8 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 29.
-- That increases our excess toughness to 68. We have 42 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 29 Toralf abilities.
All of them hit the excess toughness of our creatures for 29 damage with lifelink. We have 39 excess toughness left and we now have 33 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 33.
-- That increases our excess toughness to 59. We have 46 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 34.
-- That increases our excess toughness to 64. We have 47 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 34 Toralf abilities.
All of them hit the excess toughness of our creatures for 34 damage with lifelink. We have 30 excess toughness left and we now have 39 mana.
-- We create 1 new Urza Construct token. We now have 2.
-- We create 4 new Toralf-Cubwarden mutants. We now have 38.
-- That increases our excess toughness to 103. We have 52 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 39.
-- That increases our excess toughness to 109. We have 53 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 39 Toralf abilities.
All of them hit the excess toughness of our creatures for 39 damage with lifelink. We have 70 excess toughness left and we now have 44 mana.
-- We create 6 new Toralf-Cubwarden mutants. We now have 45.
-- That increases our excess toughness to 106. We have 59 creatures and 8 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 46.
-- That increases our excess toughness to 112. We have 60 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 46 Toralf abilities.
All of them hit the excess toughness of our creatures for 46 damage with lifelink. We have 66 excess toughness left and we now have 50 mana.
-- We create 7 new Toralf-Cubwarden mutants. We now have 53.
-- That increases our excess toughness to 108. We have 67 creatures and 8 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 54.
-- That increases our excess toughness to 114. We have 68 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 54 Toralf abilities.
All of them hit the excess toughness of our creatures for 54 damage with lifelink. We have 60 excess toughness left and we now have 58 mana.
-- We create 8 new Toralf-Cubwarden mutants. We now have 62.
-- That increases our excess toughness to 108. We have 76 creatures and 10 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 63.
-- That increases our excess toughness to 114. We have 77 creatures and 4 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 6 mana. 1 of the damage is overkill and triggers 63 Toralf abilities.
All of them hit the excess toughness of our creatures for 63 damage with lifelink. We have 51 excess toughness left and we now have 69 mana.
-- We create 1 new Urza Construct token. We now have 3.
-- We create 8 new Toralf-Cubwarden mutants. We now have 71.
-- That increases our excess toughness to 187. We have 86 creatures and 15 mana left.
-- We create 2 new Toralf-Cubwarden mutants. We now have 73.
-- That increases our excess toughness to 201. We have 88 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 73 Toralf abilities.
All of them hit the excess toughness of our creatures for 73 damage with lifelink. We have 128 excess toughness left and we now have 78 mana.
-- We create 11 new Hunted Phantasm tokens. Now the opponent has 58 untargeted 1/1s.
-- That increases our excess toughness to 216. We have 99 creatures and 12 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 63 untargeted 1/1s.
-- That increases our excess toughness to 224. We have 100 creatures and 6 mana left.
--------------------------------------------------
We have 6 mana and control 100 creatures, 73 of which have Toralf's ability.
The opponent is at 4 life and controls 63 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 224 damage without dying. Their total power is 607
The stack looks like this:
7x Toralf's ability for 3 damage
1x Toralf's ability for 5 damage
We have a 5 damage ability on the stack after escaping small numbers, so we apply 2^^^x once. The starting x is reached by applying the 3 damage ability operation 7 times starting with something around 63. I'm not sure where exactly that leaves us. At this size some constants we usually round away are relevant. Maybe 2^2^2^2^2^2^2^63 is a good way to describe it? That is a bit bigger than 2^^10.
So we reach 2^^^2^^10 before attacking and deal f_w+1(2^^^2^^10) damage at the end.
WOW that Urza! Great use of pinging the opponent and our own creatures too.
I'd thought 12 would be the lower limit but 10 is crazy!
Edit: very minor optimization: instead of copying the karnstruct directly, copy urza to make a fresh one that can tap itself for mana again and absorb some more damage.
Yeah, Urza, Lord High Artificer somehow does everything we want. It gives us some mana, "draws" some cards and provides creature bodies. All of those with exactly the right amount to make the start possible. Spotting that was really well done, @CaptainMarcia! And on top of that it gives us the constructs with scaling power that we need to make Surtland Flinger work. Crazy card
The extra mana from tapping a fresh Urza when we create a karnstruct lets us get 5 more 1/1s for the opponent at the point where I stopped before.
We have 0 mana and control 7 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 17 damage without dying. The stack looks like this:
1x Prey Upon
--------------------------------------------------
We resolve Prey Upon. In the fight our creature deals 8 damage.
7 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 7 mana. 6 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 2.
-- That increases our excess toughness to 22. We have 8 creatures and 1 mana left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 7 mana. 5 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 28. We have 9 creatures and 1 mana left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 mana. 3 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 6 untargeted 1/1s.
-- That increases our excess toughness to 34. We have 10 creatures and 4 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 mana. 2 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 3.
-- That increases our excess toughness to 39. We have 11 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 36 excess toughness left and we now have 6 mana.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 33 excess toughness left and we now have 11 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 4.
-- That increases our excess toughness to 38. We have 12 creatures and 5 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 5.
-- That increases our excess toughness to 43. We have 13 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 38 excess toughness left and we now have 9 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 6.
-- That increases our excess toughness to 43. We have 14 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 37 excess toughness left and we now have 11 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 7.
-- That increases our excess toughness to 42. We have 15 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 35 excess toughness left and we now have 14 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 9.
-- That increases our excess toughness to 45. We have 17 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 36 excess toughness left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 42. We have 18 creatures and 7 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 10 untargeted 1/1s.
-- That increases our excess toughness to 48. We have 19 creatures and 1 mana left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 5 mana. 3 of the damage is overkill and triggers 9 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 mana. 2 of the damage is overkill and triggers 9 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 8 abilities left to assign.
All of them hit the opponent for 16 damage with lifelink. They have 4 life left and we now have 24 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 12.
-- That increases our excess toughness to 63. We have 22 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 51 excess toughness left and we now have 20 mana.
-- We create 2 new Hunted Phantasm tokens. Now the opponent has 10 untargeted 1/1s.
-- That increases our excess toughness to 63. We have 24 creatures and 8 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 15 untargeted 1/1s.
-- That increases our excess toughness to 69. We have 25 creatures and 2 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 5 mana. 2 of the damage is overkill and triggers 12 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 57 excess toughness left and we now have 19 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 14.
-- That increases our excess toughness to 67. We have 27 creatures and 7 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 15.
-- That increases our excess toughness to 72. We have 28 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 57 excess toughness left and we now have 18 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 17.
-- That increases our excess toughness to 67. We have 30 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 50 excess toughness left and we now have 25 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 20.
-- That increases our excess toughness to 65. We have 33 creatures and 7 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 21.
-- That increases our excess toughness to 70. We have 34 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 21 Toralf abilities.
All of them hit the excess toughness of our creatures for 21 damage with lifelink. We have 49 excess toughness left and we now have 24 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 24.
-- That increases our excess toughness to 64. We have 37 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 24 Toralf abilities.
All of them hit the excess toughness of our creatures for 24 damage with lifelink. We have 40 excess toughness left and we now have 32 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 28.
-- That increases our excess toughness to 60. We have 41 creatures and 8 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 29.
-- That increases our excess toughness to 65. We have 42 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 29 Toralf abilities.
All of them hit the excess toughness of our creatures for 29 damage with lifelink. We have 36 excess toughness left and we now have 33 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 33.
-- That increases our excess toughness to 56. We have 46 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 34.
-- That increases our excess toughness to 61. We have 47 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 34 Toralf abilities.
All of them hit the excess toughness of our creatures for 34 damage with lifelink. We have 27 excess toughness left and we now have 39 mana.
-- We create 1 new Urza Construct token. We now have 2.
-- We create 4 new Toralf-Cubwarden mutants. We now have 38.
-- That increases our excess toughness to 100. We have 52 creatures and 10 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 39.
-- That increases our excess toughness to 106. We have 53 creatures and 4 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 6 mana. 1 of the damage is overkill and triggers 39 Toralf abilities.
All of them hit the excess toughness of our creatures for 39 damage with lifelink. We have 67 excess toughness left and we now have 45 mana.
-- We create 6 new Toralf-Cubwarden mutants. We now have 45.
-- That increases our excess toughness to 103. We have 59 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 46.
-- That increases our excess toughness to 109. We have 60 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 46 Toralf abilities.
All of them hit the excess toughness of our creatures for 46 damage with lifelink. We have 63 excess toughness left and we now have 51 mana.
-- We create 7 new Toralf-Cubwarden mutants. We now have 53.
-- That increases our excess toughness to 105. We have 67 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 54.
-- That increases our excess toughness to 111. We have 68 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 54 Toralf abilities.
All of them hit the excess toughness of our creatures for 54 damage with lifelink. We have 57 excess toughness left and we now have 59 mana.
-- We create 8 new Toralf-Cubwarden mutants. We now have 62.
-- That increases our excess toughness to 105. We have 76 creatures and 11 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 63.
-- That increases our excess toughness to 111. We have 77 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 63 Toralf abilities.
All of them hit the excess toughness of our creatures for 63 damage with lifelink. We have 48 excess toughness left and we now have 70 mana.
-- We create 1 new Urza Construct token. We now have 3.
-- We create 9 new Toralf-Cubwarden mutants. We now have 72.
-- That increases our excess toughness to 191. We have 87 creatures and 11 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 73.
-- That increases our excess toughness to 198. We have 88 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 73 Toralf abilities.
All of them hit the excess toughness of our creatures for 73 damage with lifelink. We have 125 excess toughness left and we now have 80 mana.
-- We create 11 new Hunted Phantasm tokens. Now the opponent has 58 untargeted 1/1s.
-- That increases our excess toughness to 213. We have 99 creatures and 14 mana left.
-- We create 2 new Hunted Phantasm tokens. Now the opponent has 68 untargeted 1/1s.
-- That increases our excess toughness to 229. We have 101 creatures and 2 mana left.
--------------------------------------------------
We have 2 mana and control 101 creatures, 73 of which have Toralf's ability.
The opponent is at 4 life and controls 68 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 229 damage without dying. The stack looks like this:
7x Toralf's ability for 3 damage
1x Toralf's ability for 5 damage
So we can possibly get to 2^2^2^2^2^2^2^68 before the 5 damage ability instead of the 2^2^2^2^2^2^2^63 without it.
(For that line of play I now completely ignore the excess toughness of Urza itself, because enuring that it is used before the Urza dies to the legend rule when we make a new one looks like more trouble than it is worth.)
There are a bunch of other optimizations that could be picked up if we go through the start manually. The program chooses which creatures to copy and what to target with Toralf abilities according to some heuristics. Being easy to implement was a major requirement for those
For example if we create 1 Hunted Phantasm instead of 1 Toralf-Cubwarden after the second to last 2 damage ability in the line of play above, then we end with 72 Toralfs and 73 targets for them before the next 3 damage ability, which is just better because it gives us 72 usable 2 damage triggers, instead of 68.
Stuff like possibly killing our own cat tokens with a bit of overkill instead of directing damage at the opponent are completely ignored.
But getting more sophisticated with it seems like overkill. As it is, it seems good enough to give an idea of how quickly we get to bigger numbers. I just hope there are no bugs that make the lines it currently gives actually impossible.
Mythos of Illuna makes a bunch of copies of Primal Vigor followed by Mana Confluence, to give us a way to convert life to mana. (Clockspinning's ability to target any permanent allows us to stay supplied with more Confluences as necessary.) The Primal Vigors also mean that Strike It Rich gives us the mana to sufficiently raise our storm count before the first Outnumber.
Edit: Wait, Strike It Rich doesn't help us keep casting spells off our library. But we can fix that by replacing Mythos of Illuna with something like Life Goes On. We won't need a big storm count since we can duplicate TYS.
Edit: Clockspinning makes infinite treasures. Argh.
Can these ideas improve the best damage for 7/8/9 cards?
I don't think any of this is usable for 7 or 8 cards so far. For 9 cards we can use the start with Mind's Desire and deal our first damage with Burn at the Stake, which was mentioned before. I didn't check how well that does earlier.
We have 0 mana and control 5 creatures, 1 of which have Toralf's ability.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 11 damage without dying. The stack looks like this:
1x Burn at the Stake for 15 damage
--------------------------------------------------
We resolve Burn at the Stake for 15 damage. 14 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 14 damage with lifelink. We are now at 14 mana. 13 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 20. We have 7 creatures and 0 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 13 damage with lifelink. We are now at 13 mana. 12 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 5 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 24. We have 8 creatures and 6 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 12 damage with lifelink. We are now at 18 mana. 11 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 10 creatures and 4 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 11 damage with lifelink. We are now at 15 mana. 10 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 42. We have 12 creatures and 1 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 10 damage with lifelink. We are now at 11 mana. 9 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 47. We have 13 creatures and 4 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 9 damage with lifelink. We are now at 13 mana. 8 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 52. We have 14 creatures and 6 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 8 damage with lifelink. We are now at 14 mana. 7 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 61. We have 16 creatures and 0 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 7 mana. 6 of the damage is overkill and triggers 6 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 66. We have 17 creatures and 0 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 6 mana. 5 of the damage is overkill and triggers 6 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 11 mana. 4 of the damage is overkill and triggers 6 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 5 abilities left to assign.
4 of them hit the opponent for 16. They have 4 life left and we now have 27 mana.
The rest of them hit our own face and don't do anything.
-- We create 2 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 80. We have 20 creatures and 6 mana left.
-- We now have 7 Toralf-Cubwarden mutants and the opponent has 10 untargeted 1/1s.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 mana. 3 of the damage is overkill and triggers 7 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 85. We have 21 creatures and 3 mana left.
-- We now have 7 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 6 mana. 2 of the damage is overkill and triggers 7 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 78 excess toughness left and we now have 15 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 86. We have 23 creatures and 1 mana left.
-- We now have 9 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 77 excess toughness left and we now have 12 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 81. We have 24 creatures and 5 mana left.
-- We now have 10 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 10 Toralf abilities.
All of them hit the excess toughness of our creatures for 10 damage with lifelink. We have 71 excess toughness left and we now have 17 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 79. We have 26 creatures and 3 mana left.
-- We now have 12 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 67 excess toughness left and we now have 17 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 75. We have 28 creatures and 3 mana left.
-- We now have 14 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 14 Toralf abilities.
All of them hit the excess toughness of our creatures for 14 damage with lifelink. We have 61 excess toughness left and we now have 19 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 69. We have 30 creatures and 5 mana left.
-- We now have 16 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 16 Toralf abilities.
All of them hit the excess toughness of our creatures for 16 damage with lifelink. We have 53 excess toughness left and we now have 23 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 65. We have 33 creatures and 2 mana left.
-- We now have 19 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 19 Toralf abilities.
All of them hit the excess toughness of our creatures for 19 damage with lifelink. We have 46 excess toughness left and we now have 23 mana.
-- We create 3 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 61. We have 36 creatures and 2 mana left.
-- We now have 19 Toralf-Cubwarden mutants and the opponent has 16 untargeted 1/1s.
--------------------------------------------------
We have 2 mana and control 36 creatures, 19 of which have Toralf's ability.
The opponent is at 4 life and controls 16 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 61 damage without dying. The stack looks like this:
6x Toralf's ability for 3 damage
5x Toralf's ability for 5 damage
5x Toralf's ability for 6 damage
4x Toralf's ability for 7 damage
4x Toralf's ability for 8 damage
4x Toralf's ability for 9 damage
3x Toralf's ability for 10 damage
2x Toralf's ability for 11 damage
1x Toralf's ability for 12 damage
The initial 15 damage leaves a 12 damage ability on the stack when we get to bigger numbers. So this gets us 10 up-arrows of damage.
We initially cast Clockspinning without buyback for two more Anointed Processions. Turn the Earth takes us from 2 life to 12 and shuffles back Memnite, Infernal Plunge, Pyretic Ritual, and Clockspinning. Then we can recast them to get a ton of red mana and start buying back Clockspinning, allowing us to clone Spire of Industry to turn our remaining life into blue mana (and one green, and eventually two white), and we keep building up storm count. When we flashback Turn the Earth, it gives us enough life to cast the rest of our cards.
Though tbh I haven't checked properly how/if the stuff past Turn the Earth works out. The start just feels so inefficient
Hmm, maybe. Depends on if the ability to tap for colorless without paying life lets us cast more Clockspinnings for higher storm count (and more copies of TYS) before we cast Outnumber. Each additional Clockspinning means a lot of TYS tokens.
And yeah, I definitely wonder if there's a way to improve the start.
Play Mana Confluence, Pact of the Titan, Infernal Plunge, Pyretic Ritual and Madcap Experiment. Flip over Bolas's Citadel and put it into play. 18 life, "storm" 4.
Play Thousand-Year Storm from the top. 12 life, "storm" 4.
Play Orvar, the All-Form from the top. Hold Priority. 8 life, "storm" 4.
Play Double Major from the top. Get 4 TYS copies. Resolve the stack to get 6 Orvars. 6 life, "storm" 5.
Play Clockspinning from the top targeting TYS. Get 6 token copies from the Orvars. 5 life, "storm" 6.
Play Turn the Earth from the top. Get 7 TYS triggers. 4 life, "storm" 7.
For all 7 TYS triggers:
-- Resolve trigger. Resolve 6 copies of Turn to Earth. Shuffle Pact of the Titan into the library. +12 life
-- Play Pact of the Titan from the top. Get tons of Giant tokens from TYS triggers. +1 "storm"
Resolve the original Turn the Earth. Shuffle Clockspinning and Infernal Plunge into the library. 90 life, "storm" 14.
Play Infernal Plunge from the top, sacrificing a Giant token. 7 TYS triggers for 14 copies each. 89 life, "storm" 15, 297 red mana.
Play Clockspinning from the top, paying for buyback, targeting Mana Confluence. Get 6 token copies and tap them for blue. 82 life, "storm" 16, 294 red mana, 6 blue mana.
5 times:
-- Play Clockspinning with buyback, targeting a token Orvar. 82 life, "storm" 21, 279 red mana, 1 blue mana.
Orvars go 6 -> 11 -> 21 -> 41 -> 81 -> 161.
Play Clockspinning with buyback, targeting Mana Confluence. Get 161 copies. Tap 80 of them for blue mana, 1 for green. 1 life, "storm" 22, 276 red, 80 blue, 1 green.
79 times:
-- Play Clockspinning with buyback, targeting a token Orvar. 1 life, "storm" 101, 39 red, 1 blue, 1 green.
Orvars go 1 + 5 * 2^5 -> 1 + 5 * 2^84 = 96.714.065.569.170.333.976.494.081
Play Clockspinning without buyback, targeting TYS. 1 life, "storm" 102, 39 red, 1 green
We now have 96.714.065.569.170.333.976.494.088 TYS copies.
Flashback Turn the Earth...
For the TYS triggers to the same as before, gain life and increase "storm" via pact.
Shuffle Clockspinning, Pyretic Ritual and Double Major into the library.
Use most of the life as before, increasing the Ogvar count and catching up with TYS at the end. Pyretic Ritual can provide red mana for that again.
We end up with more than 2^2^92 TYS copies.
Leave just enough life to finish of with the rest:
Cast Slaughter Specialist from the top.
Cast Toralf, God of Fury from the top. Hold Priority.
Cast Double Major from the top. Get tons of Toralf copies.
Cast Prepare from the top. Buff one Toralf to hell.
Cast Fight from the graveyard. Get more than 2^2^92 TYS triggers.
With the first trigger have the buffed Toralf fight a token from the opponent. Use the life to cast more Clockspinnings with buyback. Targeting a Slaughter Specialist gives the opponent plenty of targets and our Slaughter Specialists now have a +1/+1 counter that we can duplicate with the Clockspinning copies.
The rest of the TYS triggers on Fight can have the buffed Slaughter Specialist fight the opponents creatures. Each time we can go through the Toralf stage to go from X to f_w(X)
We end up with f_w+1(2^2^92) damage, which we can deal to the opponent with a Toralf trigger.
Play Mana Confluence, Pact of the Titan, Infernal Plunge, Pyretic Ritual and Madcap Experiment. Flip over Bolas's Citadel and put it into play. 18 life, "storm" 4.
Play Thousand-Year Storm from the top. 12 life, "storm" 4.
Play Orvar, the All-Form from the top. Hold Priority. 8 life, "storm" 4.
Play Double Major from the top. Get 4 TYS copies. Resolve the stack to get 6 Orvars. 6 life, "storm" 5.
Play Clockspinning from the top targeting TYS. Get 6 token copies from the Orvars. 5 life, "storm" 6.
Play Turn the Earth from the top. Get 7 TYS triggers. 4 life, "storm" 7.
For all 7 TYS triggers:
-- Resolve trigger. Resolve 6 copies of Turn to Earth. Shuffle Pact of the Titan into the library. +12 life
-- Play Pact of the Titan from the top. Get tons of Giant tokens from TYS triggers. +1 "storm"
Resolve the original Turn the Earth. Shuffle Clockspinning and Infernal Plunge into the library. 90 life, "storm" 14.
Play Infernal Plunge from the top, sacrificing a Giant token. 7 TYS triggers for 14 copies each. 89 life, "storm" 15, 297 red mana.
Play Clockspinning from the top, paying for buyback, targeting Mana Confluence. Get 6 token copies and tap them for blue. 82 life, "storm" 16, 294 red mana, 6 blue mana.
5 times:
-- Play Clockspinning with buyback, targeting a token Orvar. 82 life, "storm" 21, 279 red mana, 1 blue mana.
Orvars go 6 -> 11 -> 21 -> 41 -> 81 -> 161.
Play Clockspinning with buyback, targeting Mana Confluence. Get 161 copies. Tap 80 of them for blue mana, 1 for green. 1 life, "storm" 22, 276 red, 80 blue, 1 green.
79 times:
-- Play Clockspinning with buyback, targeting a token Orvar. 1 life, "storm" 101, 39 red, 1 blue, 1 green.
Orvars go 1 + 5 * 2^5 -> 1 + 5 * 2^84 = 96.714.065.569.170.333.976.494.081
Play Clockspinning without buyback, targeting TYS. 1 life, "storm" 102, 39 red, 1 green
We now have 96.714.065.569.170.333.976.494.088 TYS copies.
Flashback Turn the Earth...
For the TYS triggers to the same as before, gain life and increase "storm" via pact.
Shuffle Clockspinning, Pyretic Ritual and Double Major into the library.
Use most of the life as before, increasing the Ogvar count and catching up with TYS at the end. Pyretic Ritual can provide red mana for that again.
We end up with more than 2^2^92 TYS copies.
Leave just enough life to finish of with the rest:
Cast Slaughter Specialist from the top.
Cast Toralf, God of Fury from the top. Hold Priority.
Cast Double Major from the top. Get tons of Toralf copies.
Cast Prepare from the top. Buff one Toralf to hell.
Cast Fight from the graveyard. Get more than 2^2^92 TYS triggers.
With the first trigger have the buffed Toralf fight a token from the opponent. Use the life to cast more Clockspinnings with buyback. Targeting a Slaughter Specialist gives the opponent plenty of targets and our Slaughter Specialists now have a +1/+1 counter that we can duplicate with the Clockspinning copies.
The rest of the TYS triggers on Fight can have the buffed Slaughter Specialist fight the opponents creatures. Each time we can go through the Toralf stage to go from X to f_w(X)
We end up with f_w+1(2^2^92) damage, which we can deal to the opponent with a Toralf trigger.
Oh wow, that's wild. I was confused by the initial Turn the Earth section but it works out since each TYS token puts its copies on the stack in separate batches. Using Prepare//Fight as the lifelink source is really neat, it's unfortunate that the later Toralfs can't have it but I guess the fact that they in turn give opportunities for the lifelink ones to gain life means it's pretty much just losing one lifegain round?
Yes, having only a single Toralf with lifelink effectively loses one layer of the stage.
When all Toralfs have lifelink then we gain 1 life for every 1 damage ability, and gain X of those for every 2 damage ability, and gain X of those for every 3 damage ability, and so on...
With 1 Toralf having lifelink we gain 1 life for every 2 damage ability (since the overkill triggers a 1 damage ability for the Toralf with lifelink), and gain X of those for every 3 damage ability, and gain X of those for every 4 damage ability, and so on...
Everything is just shifted by 1 damage and that hardly matters at all after the amount of repetitions we get for the stage start. We can't even really write numbers that large with enough precision to see the difference.
@hyp_cos: Sorry for not replying earlier. I'm not sure exactly how we're supposed to restore our progress in that deck, it's been so long. Probably that deck is not one to focus on, it looks like my attempt to use Stakfish's Chalice of the Void construction, so I imagine it has problems.
As a result, when you turn Goblin Dark-Dwellers on you have its ETB trigger. When you turn it off, you can still have its ETB trigger. So you can make 2 Engineered Explosives usages and thus 2 key resources (in this case the key resource is untapped haste Moggcatcher), which leads to infinite.
Then, how to let Goblin Dark-Dwellers leave the battlefield? Both "killing" and "champion" go infinite.
I guess one way would be to design the combo around getting and using two ETBs from Goblin Dark-Dwellers each time. I think that was something we were considering with the Skyshroud Archer decks, where it would take multiple ETBs from Skyshroud Archer to kill whatever we were supposed to kill.
IIjil, do you have any ideas?
I still have an interest in completing the gigastage deck, even though the Busy Beaver decks would put it to shame. But it looks like there are still some major obstacles to finishing it.
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Ah, that makes sense. Shame.
After the initial setup we have Cogwork Assembler, Djinn Illuminatus, Hunted Phantasm, a Toralf, God of Fury + Cubwarden mutant, and 2 1/1 cats. The opponent has 5 1/1s.
Then we can spend 4 mana to cast Outnumber with replicate, targeting 4 different of the opponent 1/1s.
From there my program takes over and gives a line of play until we have 14 creatures:
The opponent is at 20 life and controls 1 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 15 damage without dying.
The stack looks like this:
4x Outnumber
--------------------------------------------------
We resolve Outnumber for 6 damage, 5 of which are overkill and trigger 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 5 Mana. 4 of the damage is overkill and triggers 1 Toralf abilities.
The opponent has no untargeted 1/1s. We have 1 abilities left to assign.
All of them hit the opponent for 4 damage with lifelink. They have 16 life left and we now have 9 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 20. We have 7 creatures and 2 mana left.
-- We now have 1 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve Outnumber for 7 damage, 6 of which are overkill and trigger 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 8 Mana. 5 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 24. We have 8 creatures and 1 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 Mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 2 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 13 life left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 29. We have 9 creatures and 6 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 9 Mana. 2 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 10 creatures and 2 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 30 excess toughness left and we now have 7 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 34. We have 11 creatures and 0 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 3 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 4 Toralf abilities.
All of them hit the excess toughness of our creatures for 4 damage with lifelink. We have 30 excess toughness left and we now have 6 mana.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 4 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 10 life left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 35. We have 12 creatures and 6 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 9 Mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 39. We have 13 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 34 excess toughness left and we now have 9 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 38. We have 14 creatures and 2 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
--------------------------------------------------
We have 2 mana and control 14 creatures, 6 of which have Toralf's ability.
The opponent is at 10 life and controls 1 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 38 damage without dying.
The stack looks like this:
3x Toralf's ability for 2 damage
2x Toralf's ability for 3 damage
2x Outnumber
At that point the next Outnumber will be as strong as the sole Kahmal's Will we could have instead. And we still have a few abilities to go until then. And afterwards there is another copy of Outnumber. So this is clearly better.
By the time we get to the next Outnumber we will have 175 creatures. (According to the program.) From there the next Outnumber takes us to 2^^...^^2 with 173 up arrows.
The last Outnumber then gets us to 2^^...^^2 where the number of up arrows is 2^^...^^2 where the number of up arrows is 173.
And that is how much damage we can deal with 10 cards.
Add Experimental Overload to beat graham's number.
Nice! And interesting that we get so little out of the first Outnumber, but it makes sense that refilling our opponent on non-conflicting tokens is a priority.
I'm also thinking about the library rules again. The fact that Ardent Dustspeaker doesn't work with a full library is annoying, but regardless, it seems like it should be good for the "otherwise empty library" version of the challenge, which is neat. This does require using a single non-replicated instant for the initial round, but Kamahl's Will should get us there:
Does that all sound right?
With Kamahl's Will we have a 11 damage Toralf ability still on the stack when we break out of the small numbers
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 14 damage without dying. Their total power is 14
The stack looks like this:
1x Kahmal's Will
--------------------------------------------------
We resolve Kahmal's Will for 14 damage, 3 of which have lifelink. We now have 3 mana.
13 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 13 damage with lifelink. We are now at 16 Mana. 12 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 23. We have 8 creatures and 2 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 12 damage with lifelink. We are now at 14 Mana. 11 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 5 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 31. We have 10 creatures and 0 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 11 damage with lifelink. We are now at 11 Mana. 10 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 36. We have 11 creatures and 4 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 6 untargeted 1/1s.
We resolve a Toralf ability for 10 damage with lifelink. We are now at 14 Mana. 9 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 45. We have 13 creatures and 0 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 9 damage with lifelink. We are now at 9 Mana. 8 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 50. We have 14 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 8 damage with lifelink. We are now at 10 Mana. 7 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 55. We have 15 creatures and 3 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 10 Mana. 6 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 60. We have 16 creatures and 3 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 9 Mana. 5 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 65. We have 17 creatures and 2 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 7 Mana. 4 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 70. We have 18 creatures and 0 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 4 Mana. 3 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 Mana. 2 of the damage is overkill and triggers 5 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 6 damage with lifelink. They have 14 life left and we now have 13 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 74. We have 19 creatures and 6 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 68 excess toughness left and we now have 14 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 76. We have 21 creatures and 0 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 8 Toralf abilities.
All of them hit the excess toughness of our creatures for 8 damage with lifelink. We have 68 excess toughness left and we now have 10 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 73. We have 22 creatures and 3 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 6 Mana. 2 of the damage is overkill and triggers 8 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 6 damage with lifelink. They have 8 life left and we now have 12 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 77. We have 23 creatures and 5 mana left.
-- We now have 9 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 68 excess toughness left and we now have 16 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 76. We have 25 creatures and 2 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 11 Toralf abilities.
All of them hit the excess toughness of our creatures for 11 damage with lifelink. We have 65 excess toughness left and we now have 15 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 73. We have 27 creatures and 1 mana left.
-- We now have 13 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 13 Toralf abilities.
All of them hit the excess toughness of our creatures for 13 damage with lifelink. We have 60 excess toughness left and we now have 16 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 68. We have 29 creatures and 2 mana left.
-- We now have 15 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 53 excess toughness left and we now have 19 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 61. We have 31 creatures and 5 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 44 excess toughness left and we now have 24 mana.
-- We create 3 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 59. We have 34 creatures and 3 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 15 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 6 Mana. 2 of the damage is overkill and triggers 17 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 2 abilities left to assign.
All of them hit the opponent for 4 damage with lifelink. They have 4 life left and we now have 10 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 63. We have 35 creatures and 3 mana left.
-- We now have 18 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 Mana. 1 of the damage is overkill and triggers 18 Toralf abilities.
All of them hit the excess toughness of our creatures for 18 damage with lifelink. We have 45 excess toughness left and we now have 23 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 57. We have 38 creatures and 2 mana left.
-- We now have 21 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
--------------------------------------------------
We have 2 mana and control 38 creatures, 21 of which have Toralf's ability.
The opponent is at 4 life and controls 0 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 57 damage without dying. Their total power is 122
The stack looks like this:
14x Toralf's ability for 2 damage
2x Toralf's ability for 3 damage
4x Toralf's ability for 4 damage
4x Toralf's ability for 5 damage
4x Toralf's ability for 6 damage
4x Toralf's ability for 7 damage
4x Toralf's ability for 8 damage
3x Toralf's ability for 9 damage
3x Toralf's ability for 10 damage
1x Toralf's ability for 11 damage
Then that many Ardent Dustspeakers can attack, each casting a Kamahl's Will. We end up with f_w+1(2^^^^^^^^^2) damage, handily beating graham's number. If we allow ourselves to start with 10 cards and an otherwise empty library.
Edit: I also checked 9 cards with Kamahl's Will, skipping the Ardent Dustspeaker:
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 11 damage without dying. Their total power is 11
The stack looks like this:
1x Kahmal's Will
--------------------------------------------------
We resolve Kahmal's Will for 11 damage, 3 of which have lifelink. We now have 3 mana.
10 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 10 damage with lifelink. We are now at 13 Mana. 9 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 15. We have 6 creatures and 6 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 2 untargeted 1/1s.
We resolve a Toralf ability for 9 damage with lifelink. We are now at 15 Mana. 8 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 24. We have 8 creatures and 1 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 8 damage with lifelink. We are now at 9 Mana. 7 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 29. We have 9 creatures and 2 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 9 Mana. 6 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 10 creatures and 2 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 4 untargeted 1/1s.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 8 Mana. 5 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 38. We have 11 creatures and 1 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 Mana. 4 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 Mana. 3 of the damage is overkill and triggers 4 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 3 abilities left to assign.
All of them hit the opponent for 9 damage with lifelink. They have 11 life left and we now have 19 mana.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 47. We have 13 creatures and 5 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 Mana. 2 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 51. We have 14 creatures and 1 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 45 excess toughness left and we now have 9 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 49. We have 15 creatures and 2 mana left.
-- We now have 7 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 42 excess toughness left and we now have 11 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 46. We have 16 creatures and 4 mana left.
-- We now have 8 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 6 Mana. 1 of the damage is overkill and triggers 8 Toralf abilities.
All of them hit the excess toughness of our creatures for 8 damage with lifelink. We have 38 excess toughness left and we now have 14 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 46. We have 18 creatures and 0 mana left.
-- We now have 10 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 10 Toralf abilities.
All of them hit the excess toughness of our creatures for 10 damage with lifelink. We have 36 excess toughness left and we now have 12 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 40. We have 19 creatures and 5 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 11 Toralf abilities.
All of them hit the excess toughness of our creatures for 11 damage with lifelink. We have 29 excess toughness left and we now have 18 mana.
-- We create 2 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 39. We have 21 creatures and 4 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 10 untargeted 1/1s.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 8 Mana. 3 of the damage is overkill and triggers 11 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 1 abilities left to assign.
All of them hit the opponent for 3 damage with lifelink. They have 8 life left and we now have 11 mana.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 44. We have 22 creatures and 4 mana left.
-- We now have 11 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 Mana. 2 of the damage is overkill and triggers 11 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 6 abilities left to assign.
3 of them hit the opponent for 6. They have 2 life left and we now have 13 mana.
The rest of them hit our own face and don't do anything.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 48. We have 23 creatures and 6 mana left.
-- We now have 12 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 36 excess toughness left and we now have 20 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 44. We have 25 creatures and 6 mana left.
-- We now have 14 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 14 Toralf abilities.
All of them hit the excess toughness of our creatures for 14 damage with lifelink. We have 30 excess toughness left and we now have 22 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 42. We have 28 creatures and 1 mana left.
-- We now have 17 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 25 excess toughness left and we now have 20 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 30 creatures and 6 mana left.
-- We now have 19 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 19 Toralf abilities.
All of them hit the excess toughness of our creatures for 19 damage with lifelink. We have 14 excess toughness left and we now have 27 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 26. We have 33 creatures and 6 mana left.
-- We now have 22 Toralf-Cubwarden mutants and the opponent has 0 untargeted 1/1s.
--------------------------------------------------
We have 6 mana and control 33 creatures, 22 of which have Toralf's ability.
The opponent is at 2 life and controls 0 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 26 damage without dying. Their total power is 102
The stack looks like this:
1x Toralf's ability for 2 damage
9x Toralf's ability for 3 damage
2x Toralf's ability for 4 damage
3x Toralf's ability for 5 damage
2x Toralf's ability for 6 damage
2x Toralf's ability for 7 damage
1x Toralf's ability for 8 damage
That's a hell of a number.
Speaking of playing with rules - in a multiplayer format (everyone draws T1) with at least 27 starting life, we could pull it off with 10 cards and an otherwise full library like this:
I can't quite say it's Commander since we're using Black Lotus and Channel, but, some sort of Vintage-ish variation I guess?
Keep in mind that 2^^^...^^^2 is always 4, so we need to bump the last number up a bit. Usually if we start with 2, we want the last number to be at least 4, since 2^^^...^^^3 = 2^^^...^^4, with one less arrow before the 4.
I think 6 up arrows is the largest I have seen for 9 cards, but I would imagine we could do better. I guess if we go second, we can draw the 8 cards other than Mind's Desire, so this could be the 8 card record.
Hmm. Casting Lattice/Assembler/Toralf/Cubwarden/Will costs 24 mana if we don't have Mind's Desire to help, so like with the Melek strategy, it'd work at higher starting life but not conventional 8 card.
Edit: If we're assuming higher starting life for the 8 card challenge, whatever that starting life is could leave room to optimize further.
I think we can do more than Graham's number damage using 10 cards and normal rules:
2 Channel
3 Mycosynth Lattice
4 Urza, Lord High Artificer
5 Cogwork Assembler
6 Toralf, God of Fury
7 Hunted Phantasm
8 Cubwarden
9 Prey Upon
10 Surtland Flinger
Play Channel. Always convert all but 1 life to mana (20 mana, 5 cards in hand)
Play Mycosynth Lattice (14 mana, 4 cards in hand)
Play Urza, Lord High Artificie. Get a Construct token. Always tap all artifacts for mana. To start with that are three, thanks to Mycosynth Lattice (13 mana, 3 cards in hand)
Activate Urza. Reveal and play Cogwork Assemble. (9 mana, 3 cards in hand)
Activate Urza. Reveal and play Toralf, God of Fury (5 mana, 3 cards in hand)
Mutate Cubwarden onto Toralf. Put Cubwarden on top, so the resulting creature is non-legendary and has lifelink plus Toralf's ability. Get two 1/1 Cats. (3 mana, 2 cards in hand)
Play Hunted Phantasm. The opponent gets 5 1/1s (1 mana, 1 card in hand)
We now have 7 creatures. Thanks to Mycosynth Lattice that makes the Construct token 8/8
Now it gets fun:
Use the last mana to cast Prey Upon and have the Construct fight one of the opponents creatures.
This starts the Toralf stage. 8 damage is just enough to escape the small numbers:
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 20 damage without dying. Their total power is 20
The stack looks like this:
1x Prey Upon
--------------------------------------------------
We resolve Prey Upon. In the fight our creature deals 8 damage.
7 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 7 Mana. 6 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 2.
-- That increases our excess toughness to 25. We have 8 creatures and 0 mana left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 6 Mana. 5 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 11 Mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
The opponent has no untargeted 1/1s. We have 2 abilities left to assign.
All of them hit the opponent for 8 damage with lifelink. They have 12 life left and we now have 19 mana.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- We create 1 new Toralf-Cubwarden mutants. We now have 3.
-- That increases our excess toughness to 36. We have 10 creatures and 5 mana left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 10 Mana. 4 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 7 untargeted 1/1s.
-- That increases our excess toughness to 42. We have 11 creatures and 3 mana left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 7 Mana. 3 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 4.
-- That increases our excess toughness to 47. We have 12 creatures and 0 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 3 Mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 Mana. 1 of the damage is overkill and triggers 4 Toralf abilities.
All of them hit the excess toughness of our creatures for 4 damage with lifelink. We have 43 excess toughness left and we now have 9 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 5.
-- That increases our excess toughness to 48. We have 13 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 43 excess toughness left and we now have 9 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 6.
-- That increases our excess toughness to 48. We have 14 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 42 excess toughness left and we now have 10 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 7.
-- That increases our excess toughness to 47. We have 15 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 Mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 40 excess toughness left and we now have 12 mana.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 46. We have 16 creatures and 5 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 Mana. 2 of the damage is overkill and triggers 7 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 2 abilities left to assign.
All of them hit the opponent for 4 damage with lifelink. They have 8 life left and we now have 12 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 8.
-- That increases our excess toughness to 51. We have 17 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 8 Toralf abilities.
All of them hit the excess toughness of our creatures for 8 damage with lifelink. We have 43 excess toughness left and we now have 15 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 10.
-- That increases our excess toughness to 53. We have 19 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 10 Toralf abilities.
All of them hit the excess toughness of our creatures for 10 damage with lifelink. We have 43 excess toughness left and we now have 13 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 11.
-- That increases our excess toughness to 48. We have 20 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 11 Toralf abilities.
All of them hit the excess toughness of our creatures for 11 damage with lifelink. We have 37 excess toughness left and we now have 19 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 13.
-- That increases our excess toughness to 47. We have 22 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 13 Toralf abilities.
All of them hit the excess toughness of our creatures for 13 damage with lifelink. We have 34 excess toughness left and we now have 20 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 15.
-- That increases our excess toughness to 44. We have 24 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 29 excess toughness left and we now have 23 mana.
-- We create 3 new Hunted Phantasm tokens. Now the opponent has 15 untargeted 1/1s.
-- That increases our excess toughness to 47. We have 27 creatures and 2 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 5 Mana. 2 of the damage is overkill and triggers 15 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 32 excess toughness left and we now have 22 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 18.
-- That increases our excess toughness to 47. We have 30 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 18 Toralf abilities.
All of them hit the excess toughness of our creatures for 18 damage with lifelink. We have 29 excess toughness left and we now have 21 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 21.
-- That increases our excess toughness to 44. We have 33 creatures and 0 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 21 Toralf abilities.
All of them hit the excess toughness of our creatures for 21 damage with lifelink. We have 23 excess toughness left and we now have 23 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 24.
-- That increases our excess toughness to 38. We have 36 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 24 Toralf abilities.
All of them hit the excess toughness of our creatures for 24 damage with lifelink. We have 14 excess toughness left and we now have 28 mana.
-- We create 1 new Urza Construct token. We now have 2.
-- We create 3 new Toralf-Cubwarden mutants. We now have 27.
-- That increases our excess toughness to 70. We have 40 creatures and 0 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 27 Toralf abilities.
All of them hit the excess toughness of our creatures for 27 damage with lifelink. We have 43 excess toughness left and we now have 29 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 31.
-- That increases our excess toughness to 67. We have 44 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 31 Toralf abilities.
All of them hit the excess toughness of our creatures for 31 damage with lifelink. We have 36 excess toughness left and we now have 34 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 35.
-- That increases our excess toughness to 60. We have 48 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 35 Toralf abilities.
All of them hit the excess toughness of our creatures for 35 damage with lifelink. We have 25 excess toughness left and we now have 43 mana.
-- We create 1 new Urza Construct token. We now have 3.
-- We create 5 new Toralf-Cubwarden mutants. We now have 40.
-- That increases our excess toughness to 111. We have 54 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 40 Toralf abilities.
All of them hit the excess toughness of our creatures for 40 damage with lifelink. We have 71 excess toughness left and we now have 43 mana.
-- We create 6 new Toralf-Cubwarden mutants. We now have 46.
-- That increases our excess toughness to 113. We have 60 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 46 Toralf abilities.
All of them hit the excess toughness of our creatures for 46 damage with lifelink. We have 67 excess toughness left and we now have 49 mana.
-- We create 7 new Toralf-Cubwarden mutants. We now have 53.
-- That increases our excess toughness to 116. We have 67 creatures and 0 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 2 Mana. 1 of the damage is overkill and triggers 53 Toralf abilities.
All of them hit the excess toughness of our creatures for 53 damage with lifelink. We have 63 excess toughness left and we now have 55 mana.
-- We create 7 new Toralf-Cubwarden mutants. We now have 60.
-- That increases our excess toughness to 112. We have 74 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 Mana. 1 of the damage is overkill and triggers 60 Toralf abilities.
All of them hit the excess toughness of our creatures for 60 damage with lifelink. We have 52 excess toughness left and we now have 68 mana.
-- We create 1 new Urza Construct token. We now have 4.
-- We create 8 new Toralf-Cubwarden mutants. We now have 68.
-- That increases our excess toughness to 194. We have 83 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 68 Toralf abilities.
All of them hit the excess toughness of our creatures for 68 damage with lifelink. We have 126 excess toughness left and we now have 75 mana.
-- We create 10 new Toralf-Cubwarden mutants. We now have 78.
-- That increases our excess toughness to 206. We have 93 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 Mana. 1 of the damage is overkill and triggers 78 Toralf abilities.
All of them hit the excess toughness of our creatures for 78 damage with lifelink. We have 128 excess toughness left and we now have 85 mana.
-- We create 12 new Toralf-Cubwarden mutants. We now have 90.
-- That increases our excess toughness to 224. We have 105 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 Mana. 1 of the damage is overkill and triggers 90 Toralf abilities.
All of them hit the excess toughness of our creatures for 90 damage with lifelink. We have 134 excess toughness left and we now have 93 mana.
-- We create 13 new Toralf-Cubwarden mutants. We now have 103.
-- That increases our excess toughness to 238. We have 118 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 Mana. 1 of the damage is overkill and triggers 103 Toralf abilities.
All of them hit the excess toughness of our creatures for 103 damage with lifelink. We have 135 excess toughness left and we now have 107 mana.
-- We create 15 new Hunted Phantasm tokens. Now the opponent has 75 untargeted 1/1s.
-- That increases our excess toughness to 270. We have 133 creatures and 2 mana left.
--------------------------------------------------
We have 2 mana and control 133 creatures, 103 of which have Toralf's ability.
The opponent is at 8 life and controls 75 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 270 damage without dying. Their total power is 938
The stack looks like this:
2x Toralf's ability for 4 damage
With two 4 damage abilities on the stack after escaping small numbers we apply 2^^x twice, starting with some x >= 75. So we reach 2^^2^^75. We'll take that in mana.
Activate Urza. Reveal and play Surtland Flinger.
Use Cogwork Assembler to create 2^^2^^75 Surtland Flinger tokens. (With those numbers dividing by 7 doesn't really matter, we certainly rounded down more before).
Attack with all the hasty Surtland Flingers. The ability triggers 2^^2^^75 times. For every instance of the ability sacrifice a Construct token from Urza. It will then deal damage equal to the current progress X and going through the Toralf stage raises the progress more than to 2^^...^^4 with X-2 up-arrows.
We end up with f_w+1(2^^2^^75). To convert that into damage we can target the opponent with a Toralf ability triggered by the last Surtland Flinger ability. Or we can have an attacking Construct that sticks around the entire time and increases its power accordingly. Either way the opponent is dead
The damage we end up with is bigger than f_w+1(2^^2^^75) > f_w+1(64) > Graham's number
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 20 damage without dying. Their total power is 20
The stack looks like this:
1x Prey Upon
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We resolve Prey Upon. In the fight our creature deals 8 damage.
7 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 7 mana. 6 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 2.
-- That increases our excess toughness to 25. We have 8 creatures and 1 mana left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 7 mana. 5 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 31. We have 9 creatures and 1 mana left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 mana. 3 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 6 untargeted 1/1s.
-- That increases our excess toughness to 37. We have 10 creatures and 4 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 mana. 2 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 3.
-- That increases our excess toughness to 42. We have 11 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 39 excess toughness left and we now have 6 mana.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 36 excess toughness left and we now have 11 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 4.
-- That increases our excess toughness to 41. We have 12 creatures and 5 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 5.
-- That increases our excess toughness to 46. We have 13 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 41 excess toughness left and we now have 9 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 6.
-- That increases our excess toughness to 46. We have 14 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 40 excess toughness left and we now have 11 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 7.
-- That increases our excess toughness to 45. We have 15 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 38 excess toughness left and we now have 14 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 9.
-- That increases our excess toughness to 48. We have 17 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 39 excess toughness left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 45. We have 18 creatures and 7 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 10 untargeted 1/1s.
-- That increases our excess toughness to 51. We have 19 creatures and 1 mana left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 5 mana. 3 of the damage is overkill and triggers 9 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 mana. 2 of the damage is overkill and triggers 9 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 8 abilities left to assign.
All of them hit the opponent for 16 damage with lifelink. They have 4 life left and we now have 24 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 12.
-- That increases our excess toughness to 66. We have 22 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 54 excess toughness left and we now have 20 mana.
-- We create 2 new Hunted Phantasm tokens. Now the opponent has 10 untargeted 1/1s.
-- That increases our excess toughness to 66. We have 24 creatures and 8 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 15 untargeted 1/1s.
-- That increases our excess toughness to 72. We have 25 creatures and 2 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 5 mana. 2 of the damage is overkill and triggers 12 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 60 excess toughness left and we now have 19 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 14.
-- That increases our excess toughness to 70. We have 27 creatures and 7 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 15.
-- That increases our excess toughness to 75. We have 28 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 60 excess toughness left and we now have 18 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 17.
-- That increases our excess toughness to 70. We have 30 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 53 excess toughness left and we now have 25 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 20.
-- That increases our excess toughness to 68. We have 33 creatures and 7 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 21.
-- That increases our excess toughness to 73. We have 34 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 21 Toralf abilities.
All of them hit the excess toughness of our creatures for 21 damage with lifelink. We have 52 excess toughness left and we now have 24 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 24.
-- That increases our excess toughness to 67. We have 37 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 24 Toralf abilities.
All of them hit the excess toughness of our creatures for 24 damage with lifelink. We have 43 excess toughness left and we now have 32 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 28.
-- That increases our excess toughness to 63. We have 41 creatures and 8 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 29.
-- That increases our excess toughness to 68. We have 42 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 29 Toralf abilities.
All of them hit the excess toughness of our creatures for 29 damage with lifelink. We have 39 excess toughness left and we now have 33 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 33.
-- That increases our excess toughness to 59. We have 46 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 34.
-- That increases our excess toughness to 64. We have 47 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 34 Toralf abilities.
All of them hit the excess toughness of our creatures for 34 damage with lifelink. We have 30 excess toughness left and we now have 39 mana.
-- We create 1 new Urza Construct token. We now have 2.
-- We create 4 new Toralf-Cubwarden mutants. We now have 38.
-- That increases our excess toughness to 103. We have 52 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 39.
-- That increases our excess toughness to 109. We have 53 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 39 Toralf abilities.
All of them hit the excess toughness of our creatures for 39 damage with lifelink. We have 70 excess toughness left and we now have 44 mana.
-- We create 6 new Toralf-Cubwarden mutants. We now have 45.
-- That increases our excess toughness to 106. We have 59 creatures and 8 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 46.
-- That increases our excess toughness to 112. We have 60 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 46 Toralf abilities.
All of them hit the excess toughness of our creatures for 46 damage with lifelink. We have 66 excess toughness left and we now have 50 mana.
-- We create 7 new Toralf-Cubwarden mutants. We now have 53.
-- That increases our excess toughness to 108. We have 67 creatures and 8 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 54.
-- That increases our excess toughness to 114. We have 68 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 54 Toralf abilities.
All of them hit the excess toughness of our creatures for 54 damage with lifelink. We have 60 excess toughness left and we now have 58 mana.
-- We create 8 new Toralf-Cubwarden mutants. We now have 62.
-- That increases our excess toughness to 108. We have 76 creatures and 10 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 63.
-- That increases our excess toughness to 114. We have 77 creatures and 4 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 6 mana. 1 of the damage is overkill and triggers 63 Toralf abilities.
All of them hit the excess toughness of our creatures for 63 damage with lifelink. We have 51 excess toughness left and we now have 69 mana.
-- We create 1 new Urza Construct token. We now have 3.
-- We create 8 new Toralf-Cubwarden mutants. We now have 71.
-- That increases our excess toughness to 187. We have 86 creatures and 15 mana left.
-- We create 2 new Toralf-Cubwarden mutants. We now have 73.
-- That increases our excess toughness to 201. We have 88 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 73 Toralf abilities.
All of them hit the excess toughness of our creatures for 73 damage with lifelink. We have 128 excess toughness left and we now have 78 mana.
-- We create 11 new Hunted Phantasm tokens. Now the opponent has 58 untargeted 1/1s.
-- That increases our excess toughness to 216. We have 99 creatures and 12 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 63 untargeted 1/1s.
-- That increases our excess toughness to 224. We have 100 creatures and 6 mana left.
--------------------------------------------------
We have 6 mana and control 100 creatures, 73 of which have Toralf's ability.
The opponent is at 4 life and controls 63 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 224 damage without dying. Their total power is 607
The stack looks like this:
7x Toralf's ability for 3 damage
1x Toralf's ability for 5 damage
So we reach 2^^^2^^10 before attacking and deal f_w+1(2^^^2^^10) damage at the end.
I'd thought 12 would be the lower limit but 10 is crazy!
Edit: very minor optimization: instead of copying the karnstruct directly, copy urza to make a fresh one that can tap itself for mana again and absorb some more damage.
The extra mana from tapping a fresh Urza when we create a karnstruct lets us get 5 more 1/1s for the opponent at the point where I stopped before.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 17 damage without dying. The stack looks like this:
1x Prey Upon
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We resolve Prey Upon. In the fight our creature deals 8 damage.
7 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 7 mana. 6 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 2.
-- That increases our excess toughness to 22. We have 8 creatures and 1 mana left.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 7 mana. 5 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 28. We have 9 creatures and 1 mana left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 6 mana. 4 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 mana. 3 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 6 untargeted 1/1s.
-- That increases our excess toughness to 34. We have 10 creatures and 4 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 7 mana. 2 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 4 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 3.
-- That increases our excess toughness to 39. We have 11 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 36 excess toughness left and we now have 6 mana.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 3 Toralf abilities.
All of them hit the excess toughness of our creatures for 3 damage with lifelink. We have 33 excess toughness left and we now have 11 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 4.
-- That increases our excess toughness to 38. We have 12 creatures and 5 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 mana. 2 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 0 untargeted 1/1s left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 5.
-- That increases our excess toughness to 43. We have 13 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 5 Toralf abilities.
All of them hit the excess toughness of our creatures for 5 damage with lifelink. We have 38 excess toughness left and we now have 9 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 6.
-- That increases our excess toughness to 43. We have 14 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 6 Toralf abilities.
All of them hit the excess toughness of our creatures for 6 damage with lifelink. We have 37 excess toughness left and we now have 11 mana.
-- We create 1 new Toralf-Cubwarden mutants. We now have 7.
-- That increases our excess toughness to 42. We have 15 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 35 excess toughness left and we now have 14 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 9.
-- That increases our excess toughness to 45. We have 17 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 36 excess toughness left and we now have 13 mana.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 5 untargeted 1/1s.
-- That increases our excess toughness to 42. We have 18 creatures and 7 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 10 untargeted 1/1s.
-- That increases our excess toughness to 48. We have 19 creatures and 1 mana left.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 5 mana. 3 of the damage is overkill and triggers 9 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 8 mana. 2 of the damage is overkill and triggers 9 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 8 abilities left to assign.
All of them hit the opponent for 16 damage with lifelink. They have 4 life left and we now have 24 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 12.
-- That increases our excess toughness to 63. We have 22 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 51 excess toughness left and we now have 20 mana.
-- We create 2 new Hunted Phantasm tokens. Now the opponent has 10 untargeted 1/1s.
-- That increases our excess toughness to 63. We have 24 creatures and 8 mana left.
-- We create 1 new Hunted Phantasm tokens. Now the opponent has 15 untargeted 1/1s.
-- That increases our excess toughness to 69. We have 25 creatures and 2 mana left.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 5 mana. 2 of the damage is overkill and triggers 12 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 57 excess toughness left and we now have 19 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 14.
-- That increases our excess toughness to 67. We have 27 creatures and 7 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 15.
-- That increases our excess toughness to 72. We have 28 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 15 Toralf abilities.
All of them hit the excess toughness of our creatures for 15 damage with lifelink. We have 57 excess toughness left and we now have 18 mana.
-- We create 2 new Toralf-Cubwarden mutants. We now have 17.
-- That increases our excess toughness to 67. We have 30 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 17 Toralf abilities.
All of them hit the excess toughness of our creatures for 17 damage with lifelink. We have 50 excess toughness left and we now have 25 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 20.
-- That increases our excess toughness to 65. We have 33 creatures and 7 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 21.
-- That increases our excess toughness to 70. We have 34 creatures and 1 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 21 Toralf abilities.
All of them hit the excess toughness of our creatures for 21 damage with lifelink. We have 49 excess toughness left and we now have 24 mana.
-- We create 3 new Toralf-Cubwarden mutants. We now have 24.
-- That increases our excess toughness to 64. We have 37 creatures and 6 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 24 Toralf abilities.
All of them hit the excess toughness of our creatures for 24 damage with lifelink. We have 40 excess toughness left and we now have 32 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 28.
-- That increases our excess toughness to 60. We have 41 creatures and 8 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 29.
-- That increases our excess toughness to 65. We have 42 creatures and 2 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 29 Toralf abilities.
All of them hit the excess toughness of our creatures for 29 damage with lifelink. We have 36 excess toughness left and we now have 33 mana.
-- We create 4 new Toralf-Cubwarden mutants. We now have 33.
-- That increases our excess toughness to 56. We have 46 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 34.
-- That increases our excess toughness to 61. We have 47 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 34 Toralf abilities.
All of them hit the excess toughness of our creatures for 34 damage with lifelink. We have 27 excess toughness left and we now have 39 mana.
-- We create 1 new Urza Construct token. We now have 2.
-- We create 4 new Toralf-Cubwarden mutants. We now have 38.
-- That increases our excess toughness to 100. We have 52 creatures and 10 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 39.
-- That increases our excess toughness to 106. We have 53 creatures and 4 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 6 mana. 1 of the damage is overkill and triggers 39 Toralf abilities.
All of them hit the excess toughness of our creatures for 39 damage with lifelink. We have 67 excess toughness left and we now have 45 mana.
-- We create 6 new Toralf-Cubwarden mutants. We now have 45.
-- That increases our excess toughness to 103. We have 59 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 46.
-- That increases our excess toughness to 109. We have 60 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 46 Toralf abilities.
All of them hit the excess toughness of our creatures for 46 damage with lifelink. We have 63 excess toughness left and we now have 51 mana.
-- We create 7 new Toralf-Cubwarden mutants. We now have 53.
-- That increases our excess toughness to 105. We have 67 creatures and 9 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 54.
-- That increases our excess toughness to 111. We have 68 creatures and 3 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 54 Toralf abilities.
All of them hit the excess toughness of our creatures for 54 damage with lifelink. We have 57 excess toughness left and we now have 59 mana.
-- We create 8 new Toralf-Cubwarden mutants. We now have 62.
-- That increases our excess toughness to 105. We have 76 creatures and 11 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 63.
-- That increases our excess toughness to 111. We have 77 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 63 Toralf abilities.
All of them hit the excess toughness of our creatures for 63 damage with lifelink. We have 48 excess toughness left and we now have 70 mana.
-- We create 1 new Urza Construct token. We now have 3.
-- We create 9 new Toralf-Cubwarden mutants. We now have 72.
-- That increases our excess toughness to 191. We have 87 creatures and 11 mana left.
-- We create 1 new Toralf-Cubwarden mutants. We now have 73.
-- That increases our excess toughness to 198. We have 88 creatures and 5 mana left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 73 Toralf abilities.
All of them hit the excess toughness of our creatures for 73 damage with lifelink. We have 125 excess toughness left and we now have 80 mana.
-- We create 11 new Hunted Phantasm tokens. Now the opponent has 58 untargeted 1/1s.
-- That increases our excess toughness to 213. We have 99 creatures and 14 mana left.
-- We create 2 new Hunted Phantasm tokens. Now the opponent has 68 untargeted 1/1s.
-- That increases our excess toughness to 229. We have 101 creatures and 2 mana left.
--------------------------------------------------
We have 2 mana and control 101 creatures, 73 of which have Toralf's ability.
The opponent is at 4 life and controls 68 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 229 damage without dying. The stack looks like this:
7x Toralf's ability for 3 damage
1x Toralf's ability for 5 damage
So we can possibly get to 2^2^2^2^2^2^2^68 before the 5 damage ability instead of the 2^2^2^2^2^2^2^63 without it.
(For that line of play I now completely ignore the excess toughness of Urza itself, because enuring that it is used before the Urza dies to the legend rule when we make a new one looks like more trouble than it is worth.)
There are a bunch of other optimizations that could be picked up if we go through the start manually. The program chooses which creatures to copy and what to target with Toralf abilities according to some heuristics. Being easy to implement was a major requirement for those
For example if we create 1 Hunted Phantasm instead of 1 Toralf-Cubwarden after the second to last 2 damage ability in the line of play above, then we end with 72 Toralfs and 73 targets for them before the next 3 damage ability, which is just better because it gives us 72 usable 2 damage triggers, instead of 68.
Stuff like possibly killing our own cat tokens with a bit of overkill instead of directing damage at the opponent are completely ignored.
But getting more sophisticated with it seems like overkill. As it is, it seems good enough to give an idea of how quickly we get to bigger numbers. I just hope there are no bugs that make the lines it currently gives actually impossible.
Can these ideas improve the best damage for 7/8/9 cards?
Edit: Wait, Strike It Rich doesn't help us keep casting spells off our library. But we can fix that by replacing Mythos of Illuna with something like Life Goes On. We won't need a big storm count since we can duplicate TYS.
Edit: Clockspinning makes infinite treasures. Argh.
Edit: Could get buyback mana with Channel the Suns instead?
Edit: Primal Vigor isn't in Modern. Doesn't meaningfully change things though.
The opponent is at 20 life and controls 4 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 11 damage without dying. The stack looks like this:
1x Burn at the Stake for 15 damage
--------------------------------------------------
We resolve Burn at the Stake for 15 damage. 14 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
We resolve a Toralf ability for 14 damage with lifelink. We are now at 14 mana. 13 of the damage is overkill and triggers 1 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 20. We have 7 creatures and 0 mana left.
-- We now have 2 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 13 damage with lifelink. We are now at 13 mana. 12 of the damage is overkill and triggers 2 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 5 untargeted 1/1s left.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 24. We have 8 creatures and 6 mana left.
-- We now have 3 Toralf-Cubwarden mutants and the opponent has 5 untargeted 1/1s.
We resolve a Toralf ability for 12 damage with lifelink. We are now at 18 mana. 11 of the damage is overkill and triggers 3 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 33. We have 10 creatures and 4 mana left.
-- We now have 4 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 11 damage with lifelink. We are now at 15 mana. 10 of the damage is overkill and triggers 4 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 42. We have 12 creatures and 1 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 10 damage with lifelink. We are now at 11 mana. 9 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 47. We have 13 creatures and 4 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 9 damage with lifelink. We are now at 13 mana. 8 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 52. We have 14 creatures and 6 mana left.
-- We now have 5 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 8 damage with lifelink. We are now at 14 mana. 7 of the damage is overkill and triggers 5 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 61. We have 16 creatures and 0 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 7 damage with lifelink. We are now at 7 mana. 6 of the damage is overkill and triggers 6 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 2 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 66. We have 17 creatures and 0 mana left.
-- We now have 6 Toralf-Cubwarden mutants and the opponent has 7 untargeted 1/1s.
We resolve a Toralf ability for 6 damage with lifelink. We are now at 6 mana. 5 of the damage is overkill and triggers 6 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 5 damage with lifelink. We are now at 11 mana. 4 of the damage is overkill and triggers 6 Toralf abilities.
We target all the remaining untargeted 1/1s of the opponent with the abilities. We have 5 abilities left to assign.
4 of them hit the opponent for 16. They have 4 life left and we now have 27 mana.
The rest of them hit our own face and don't do anything.
-- We create 2 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 80. We have 20 creatures and 6 mana left.
-- We now have 7 Toralf-Cubwarden mutants and the opponent has 10 untargeted 1/1s.
We resolve a Toralf ability for 4 damage with lifelink. We are now at 10 mana. 3 of the damage is overkill and triggers 7 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 3 untargeted 1/1s left.
-- We create 1 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 85. We have 21 creatures and 3 mana left.
-- We now have 7 Toralf-Cubwarden mutants and the opponent has 8 untargeted 1/1s.
We resolve a Toralf ability for 3 damage with lifelink. We are now at 6 mana. 2 of the damage is overkill and triggers 7 Toralf abilities.
We target a unique 1/1 of the opponent with all of the abilities. They have 1 untargeted 1/1s left.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 8 mana. 1 of the damage is overkill and triggers 7 Toralf abilities.
All of them hit the excess toughness of our creatures for 7 damage with lifelink. We have 78 excess toughness left and we now have 15 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 86. We have 23 creatures and 1 mana left.
-- We now have 9 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 3 mana. 1 of the damage is overkill and triggers 9 Toralf abilities.
All of them hit the excess toughness of our creatures for 9 damage with lifelink. We have 77 excess toughness left and we now have 12 mana.
-- We create 0 new Hunted Phantasm tokens and 1 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 81. We have 24 creatures and 5 mana left.
-- We now have 10 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 10 Toralf abilities.
All of them hit the excess toughness of our creatures for 10 damage with lifelink. We have 71 excess toughness left and we now have 17 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 79. We have 26 creatures and 3 mana left.
-- We now have 12 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 12 Toralf abilities.
All of them hit the excess toughness of our creatures for 12 damage with lifelink. We have 67 excess toughness left and we now have 17 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 75. We have 28 creatures and 3 mana left.
-- We now have 14 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 5 mana. 1 of the damage is overkill and triggers 14 Toralf abilities.
All of them hit the excess toughness of our creatures for 14 damage with lifelink. We have 61 excess toughness left and we now have 19 mana.
-- We create 0 new Hunted Phantasm tokens and 2 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 69. We have 30 creatures and 5 mana left.
-- We now have 16 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 7 mana. 1 of the damage is overkill and triggers 16 Toralf abilities.
All of them hit the excess toughness of our creatures for 16 damage with lifelink. We have 53 excess toughness left and we now have 23 mana.
-- We create 0 new Hunted Phantasm tokens and 3 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 65. We have 33 creatures and 2 mana left.
-- We now have 19 Toralf-Cubwarden mutants and the opponent has 1 untargeted 1/1s.
We resolve a Toralf ability for 2 damage with lifelink. We are now at 4 mana. 1 of the damage is overkill and triggers 19 Toralf abilities.
All of them hit the excess toughness of our creatures for 19 damage with lifelink. We have 46 excess toughness left and we now have 23 mana.
-- We create 3 new Hunted Phantasm tokens and 0 new tokens of the Toralf-Cubwarden mutant.
-- That increases our excess toughness to 61. We have 36 creatures and 2 mana left.
-- We now have 19 Toralf-Cubwarden mutants and the opponent has 16 untargeted 1/1s.
--------------------------------------------------
We have 2 mana and control 36 creatures, 19 of which have Toralf's ability.
The opponent is at 4 life and controls 16 1/1s that are not yet targeted by anything on the stack.
Our creatures can collectively still absorb 61 damage without dying. The stack looks like this:
6x Toralf's ability for 3 damage
5x Toralf's ability for 5 damage
5x Toralf's ability for 6 damage
4x Toralf's ability for 7 damage
4x Toralf's ability for 8 damage
4x Toralf's ability for 9 damage
3x Toralf's ability for 10 damage
2x Toralf's ability for 11 damage
1x Toralf's ability for 12 damage
That would count towards TYS copies and benefit from TYS itself.
Though tbh I haven't checked properly how/if the stuff past Turn the Earth works out. The start just feels so inefficient
And yeah, I definitely wonder if there's a way to improve the start.
2 Pact of the Titan
3 Infernal Plunge
4 Pyretic Ritual
5 Madcap Experiment
6 Bolas's Citadel
7 Thousand-Year Storm
8 Orvar, the All-Form
9 Double Major
10 Clockspinning
11 Turn the Earth
12 Slaughter Specialist
13 Toralf, God of Fury
14 Prepare // Fight
Play Thousand-Year Storm from the top. 12 life, "storm" 4.
Play Orvar, the All-Form from the top. Hold Priority. 8 life, "storm" 4.
Play Double Major from the top. Get 4 TYS copies. Resolve the stack to get 6 Orvars. 6 life, "storm" 5.
Play Clockspinning from the top targeting TYS. Get 6 token copies from the Orvars. 5 life, "storm" 6.
Play Turn the Earth from the top. Get 7 TYS triggers. 4 life, "storm" 7.
For all 7 TYS triggers:
-- Resolve trigger. Resolve 6 copies of Turn to Earth. Shuffle Pact of the Titan into the library. +12 life
-- Play Pact of the Titan from the top. Get tons of Giant tokens from TYS triggers. +1 "storm"
Resolve the original Turn the Earth. Shuffle Clockspinning and Infernal Plunge into the library. 90 life, "storm" 14.
Play Infernal Plunge from the top, sacrificing a Giant token. 7 TYS triggers for 14 copies each. 89 life, "storm" 15, 297 red mana.
Play Clockspinning from the top, paying for buyback, targeting Mana Confluence. Get 6 token copies and tap them for blue. 82 life, "storm" 16, 294 red mana, 6 blue mana.
5 times:
-- Play Clockspinning with buyback, targeting a token Orvar. 82 life, "storm" 21, 279 red mana, 1 blue mana.
Orvars go 6 -> 11 -> 21 -> 41 -> 81 -> 161.
Play Clockspinning with buyback, targeting Mana Confluence. Get 161 copies. Tap 80 of them for blue mana, 1 for green. 1 life, "storm" 22, 276 red, 80 blue, 1 green.
79 times:
-- Play Clockspinning with buyback, targeting a token Orvar. 1 life, "storm" 101, 39 red, 1 blue, 1 green.
Orvars go 1 + 5 * 2^5 -> 1 + 5 * 2^84 = 96.714.065.569.170.333.976.494.081
Play Clockspinning without buyback, targeting TYS. 1 life, "storm" 102, 39 red, 1 green
We now have 96.714.065.569.170.333.976.494.088 TYS copies.
Flashback Turn the Earth...
For the TYS triggers to the same as before, gain life and increase "storm" via pact.
Shuffle Clockspinning, Pyretic Ritual and Double Major into the library.
Use most of the life as before, increasing the Ogvar count and catching up with TYS at the end. Pyretic Ritual can provide red mana for that again.
We end up with more than 2^2^92 TYS copies.
Leave just enough life to finish of with the rest:
Cast Slaughter Specialist from the top.
Cast Toralf, God of Fury from the top. Hold Priority.
Cast Double Major from the top. Get tons of Toralf copies.
Cast Prepare from the top. Buff one Toralf to hell.
Cast Fight from the graveyard. Get more than 2^2^92 TYS triggers.
With the first trigger have the buffed Toralf fight a token from the opponent. Use the life to cast more Clockspinnings with buyback. Targeting a Slaughter Specialist gives the opponent plenty of targets and our Slaughter Specialists now have a +1/+1 counter that we can duplicate with the Clockspinning copies.
The rest of the TYS triggers on Fight can have the buffed Slaughter Specialist fight the opponents creatures. Each time we can go through the Toralf stage to go from X to f_w(X)
We end up with f_w+1(2^2^92) damage, which we can deal to the opponent with a Toralf trigger.
Oh wow, that's wild. I was confused by the initial Turn the Earth section but it works out since each TYS token puts its copies on the stack in separate batches. Using Prepare//Fight as the lifelink source is really neat, it's unfortunate that the later Toralfs can't have it but I guess the fact that they in turn give opportunities for the lifelink ones to gain life means it's pretty much just losing one lifegain round?
(Only downside: no more catboy Thor.)
When all Toralfs have lifelink then we gain 1 life for every 1 damage ability, and gain X of those for every 2 damage ability, and gain X of those for every 3 damage ability, and so on...
With 1 Toralf having lifelink we gain 1 life for every 2 damage ability (since the overkill triggers a 1 damage ability for the Toralf with lifelink), and gain X of those for every 3 damage ability, and gain X of those for every 4 damage ability, and so on...
Everything is just shifted by 1 damage and that hardly matters at all after the amount of repetitions we get for the stage start. We can't even really write numbers that large with enough precision to see the difference.
@hyp_cos: Sorry for not replying earlier. I'm not sure exactly how we're supposed to restore our progress in that deck, it's been so long. Probably that deck is not one to focus on, it looks like my attempt to use Stakfish's Chalice of the Void construction, so I imagine it has problems.
It makes Goblin Dark-Dwellers die, which can be imprinted on Mimic Vat and get a token enter-the-battlefield.
As a result, when you turn Goblin Dark-Dwellers on you have its ETB trigger. When you turn it off, you can still have its ETB trigger. So you can make 2 Engineered Explosives usages and thus 2 key resources (in this case the key resource is untapped haste Moggcatcher), which leads to infinite.
Then, how to let Goblin Dark-Dwellers leave the battlefield? Both "killing" and "champion" go infinite.
IIjil, do you have any ideas?
I still have an interest in completing the gigastage deck, even though the Busy Beaver decks would put it to shame. But it looks like there are still some major obstacles to finishing it.