python3 <<'PY'
import math
a=0.25; b=1/12
P=[[a,0,b],[b,0,a],[0,b,a]]
pX=[sum(P[x]) for x in range(3)]
pY=[sum(P[x][y] for x in range(3)) for y in range(3)]
print(pX,pY)
aff_Y=sum(pY[y]**1.5 for y in range(3))
aff_X=sum(pX[x]**1.5 for x in range(3))
print(aff_Y,1-aff_Y,aff_X,1-aff_X)
print("done")
PY