The Ofstev rating of someone sorted into Thought-Talon can be modeled as follows:
lower = 1⁄2 x min(Intellect, Patience) upper = 3⁄2 x min(Intellect, Patience) ~triangular distribution with min=lower, max=upper, mode=30% of the way from lower to upper
Each other house can be modeled similarly. …not that I fully succeeded at doing so. Just a guess. But sketching:
Serpentyne is between 3⁄4 x [min(Intellect, Reflexes, Patience) − 10] and max(Reflexes, Patience) − 5
Humblescrumble is between, uh, max(max(8, 3⁄4 x (min(Integrity, Intellect) − 15)), 1⁄4 x (max(Integrity, Patience) + 5)) and min(max(30, 3⁄4 x (min(Integrity, Intellect) + 15)), 3⁄4 x (max(Integrity, Patience) + 5)) which is definitely 100% accurate
Dragonslayer is between max(5/6 x min(everything)-4, 3⁄2 x min(everything)-20) and 3⁄2 x min(Courage, max(everything else))) and also this one doesn’t yield something that looks triangular so yeah probably not that.
In any case, trying to maximize EV assuming those are right yields my new submission:
Dragonslayer [A, E, H] Humblescrumble [D, I, R] Serpentyne [G, L, M, N, P] Thought-Talon [B, C, F, J, K, O, Q, S, T]
Students may reach their potential in many ways, as long as they are not actively prevented.
Through sophisticate techniques (eyeballing), my own hat has recommended:
Dragonslayer [G, K, N]
Humblescrumble [A, E, R, T]
Humblescrumble? [L, M]
Serpentyne [C, F, H, O, S]
Serpentyne :( [B, D]
Serpentyne/Humblescrumble [Q]
Serpentyne? [P]
Thought-Talon [J]
Thought-Talon :( :( [I]
Otherwise known as:
Dragonslayer: [G, K, N]Thought-Talon: [I, J]Serpentyne: [B, C, D, F, H, O, P, Q, S]Humblescrumble: [A, E, L, M, R, T](Completely revised in followup comment)
The Ofstev rating of someone sorted into Thought-Talon can be modeled as follows:
lower = 1⁄2 x min(Intellect, Patience)
upper = 3⁄2 x min(Intellect, Patience)
~triangular distribution with min=lower, max=upper, mode=30% of the way from lower to upper
Each other house can be modeled similarly. …not that I fully succeeded at doing so. Just a guess. But sketching:
Serpentyne is between 3⁄4 x [min(Intellect, Reflexes, Patience) − 10] and max(Reflexes, Patience) − 5
Humblescrumble is between, uh,
max(max(8, 3⁄4 x (min(Integrity, Intellect) − 15)), 1⁄4 x (max(Integrity, Patience) + 5))
and
min(max(30, 3⁄4 x (min(Integrity, Intellect) + 15)), 3⁄4 x (max(Integrity, Patience) + 5))
which is definitely 100% accurate
Dragonslayer is between max(5/6 x min(everything)-4, 3⁄2 x min(everything)-20) and 3⁄2 x min(Courage, max(everything else))) and also this one doesn’t yield something that looks triangular so yeah probably not that.
In any case, trying to maximize EV assuming those are right yields my new submission:
Dragonslayer [A, E, H]
Humblescrumble [D, I, R]
Serpentyne [G, L, M, N, P]
Thought-Talon [B, C, F, J, K, O, Q, S, T]