So this is all in one place:
The Summon Army Logistics
Spreadsheet.
Core assumptions:
- The stats of other Summoners, including the assumption that they all know (or could quickly learn) SC at least up to level 10.
- The goal is to get 105 jounin-level Summons across 7 Summoners: Noburi, Kei, Tsunade, Orochimaru, Ruri, Aiko, Neji.
- Average jounin-level Summon costs 200 CP.
- Noburi, inefficiently, would require 600 CP to summon, but I'm assuming we're still using him because we want the best Summons of every clan.
- A ninja wouldn't want to drink more than 2 liters of water before combat, and would want to be at full chakra capacity.
Mechanics:
- A ninja at full chakra capacity could summon CR*10/200 Summons at once, rounded down. (E. g., Kei could summon 1 at CR 27.)
- If a ninja is willing to drink 4 half-liter water bottles, they could summon four times more Summons than their base capacity allows and be left at full CP afterwards. (So original!Kei could summon 4 on her own.)
- A ninja could absorb Resolve - 3*(SC AB - 2)-20-1-6 clone-hours per day without taking consequences, which translates to the same number of one-hour clones.
- -6 is a safety margin to avoid Mild Consequences, in case Fudge Dice roll -6. This safety margin might have to be ignored for those with low Resolve (e. g., Neji in the spreadsheet).
- A ninja could create at most (CR*10-150)/26 clones per Mass Shadow Clone cast, rounded down, with all of the resulting instances having at least 1 CP. (E. g., Kei could create (270-150)/26 = 4 clones at once, with 20 CP distributed across them + original.)
- Once a Shadow Clone is created, it could be restored to full chakra capacity by drinking chakra water. Once popped, all of that chakra would be transferred to the original ninja. (E. g., Kei has 4 CP, a Snowflake has 4 CP. The latter drinks water containing 270-4-4 = 262 CP, unmakes herself, and Kei is restored to full 270 CP.)
- How many times would one ninja need to be fully refilled to summon 15 jounin-level Summons? 15 divided by the maximum number of Summons they could summon at one full capacity, rounded up. Three of these refills would be done by chakra water directly, the rest by creating a Shadow Clone, having it drink water, and reintegrating it. (E. g., Kei could summon only 1 Summon at once, so she needs 15 refills. She drinks chakra water thrice, and integrates 12 Snowflakes for the rest. Her ability to withstand clone sickness allows this.)
- How many times would that ninja need to cast Mass Shadow Clone? The number of clones they need divided by the maximum number of clones they could create in one cast, rounded up. (Kei needs to cast MSC thrice.)
- The total chakra expenditure on MSC casts is given by 25 * number_of_clones + 150 * number_of_casts.
- How many times would one ninja plus their clones cast Summoning? The total number of Summons they need to summon divided by the number of Summons they could summon at once, rounded up. (Kei needs to summon 15, and she or Snowflake could summon 1 at once. That means they collectively need to cast Summoning 15 times.)
- After each Summoning cast, the ninja (or their clone) would need to drink chakra water, and they'll want to be topped up afterwards. So the number of chakra-drinks is the number of Summoning casts plus one.
- Casting MSC, casting Summoning, and drinking chakra water all take one Full Round's worth of time, or 3 seconds.
Totals: 31 000 CP and 192 Full Rounds, or ~10 minutes.
How long would transferring all that chakra to the battlefield take? Assuming an average ninja has 20 CR, that means we need ~155 ninja (actually about 170, see below) as chakra batteries. The cycle is as follows (assuming Asuma has 50 CR, and the other Wakahisa could drain about as fast as Noburi):
- Yasuji (or Wataru, or whoever) transfers chakra to Asuma while Noburi transfers chakra to some Summoner. This is assumed to happen simultaneously, and takes one Full Round.
- Asuma and Noburi reverse-summon, which costs 15 and 45 CP, respectively, and takes one Full Round. Simultaneously, Yasuji starts draining 500 CP from the chakra batteries, which will take him 7 Full Rounds.
- Noburi drains Asuma's chakra, which takes 7 Full Rounds (as Noburi could drain 2*VD = 80 CP per round). For efficiency reasons, he then waits while Asuma returns to Leaf and gets re-filled twice, costing 30 more CP and taking 17 Full Rounds.
- Note: Noburi drains 485, 485, and 280 CP from Asuma. The first two take 7 rounds, the latter only 4.
- Noburi and Asuma unsummon, taking one Full Round.
One such cycle would take 27 Full Rounds, transfer ~1205 CP to the battlefield, and cost 90 CP. This means ~8% of chakra is lost to transportation costs, requiring the total chakra necessary to go up to ~34 000 CP. Transferring that will take 28 cycles, each 27 rounds long, or 28*27*3/60 = 38 minutes.
This is happening in parallel with the Summonings proper, so we're not summing the 11 and 38 minutes up, but taking the
maximum of these numbers.
Results:
- Summoning 105 Summons requires 170 chakra batteries and ~38 minutes.
- If Noburi only transfers chakra instead of summoning, with the 6 remaining Summoners summoning 17 Summons each, we'll need ~6000 CP less. This means 23 cycles instead of 28, and only 31 minutes to get 102 Summons.
- If we downsize to 50 jounin-level Summons instead of 100, and don't involve Noburi in summonings, we'll need half that time, i. e. ~16 minutes. 50 jounin is, if I recall correctly, the number of jounin Leaf had at the start of the quest, so this is still a formidable force.
- But! What if all the chakra batteries are in the field with the Summoners (or, conversely, if the Summoners are in Leaf), making the Seventh Path pipeline unnecessary? This would mean that the chakra is transferred to the Summoners as fast as Noburi could drain it, with no losses, requiring only 31 000/80 = 388 Full Rounds, or ~20 minutes for the first option (105 Summons, Noburi summons too).