⎨⎧10Pgreedy(c−mop,o,p,o+p)Pgreedy′(c,o,p,r)if o+p=0if o+p>0, c<mop, r=0if o+p>0, c≥mop, r=0otherwise Pgreedy′(c,o,p,r)=α⋅β⋅1o>0⋅Pgreedy(c,o−1,p,r−1)+α⋅β⋅1p>0⋅Pgreedy(c,o,p−1,r−1)+α⋅(3⋅β+1o=0⋅β+1p=0⋅β)⋅Pgreedy(c,o,p,r−1)+(1−α)⋅Pgreedy(c,o,p,r−1)Popt(c,o,p,r) is calculated similarly. Instead of locking needed traits right away, it only locks when it provides higher probability.
Popt(c,o,p,r)=⎩⎨⎧10Popt(c−mop,o,p,o+p)Popt′(c,o,p,r)if o+p=0if o+p>0, c<mop, r=0if o+p>0, c≥mop, r=0otherwise Popt′(c,o,p,r)=α⋅β⋅1o>0⋅max{Popt(c,o−1,p,r−1),Popt(c,o,p,r−1)}+α⋅β⋅1p>0⋅max{Popt(c,o,p−1,r−1),Popt(c,o,p,r−1)}+α⋅(3⋅β+1o=0⋅β+1p=0⋅β)⋅Popt(c,o,p,r−1)+(1−α)⋅Popt(c,o,p,r−1)Calculator