def gen(d, x):
switch d:
case 0:
return x
case _:
return (gen(d-1, x * 2 + 1), gen(d-1, x * 2))
def sum(d, t):
switch d:
case 0:
return t
case _:
(t.a, t.b) = t
return sum(d-1, t.a) + sum(d-1, t.b)
def swap(s, a, b):
switch s:
case 0:
return (a,b)
case _:
return (b,a)
def warp(d, s, a, b):
switch d:
case 0:
return swap(s ^ (a > b), a, b)
case _:
(a.a,a.b) = a
(b.a,b.b) = b
(A.a,A.b) = warp(d-1, s, a.a, b.a)
(B.a,B.b) = warp(d-1, s, a.b, b.b)
return ((A.a,B.a),(A.b,B.b))
def flow(d, s, t):
switch d:
case 0:
return t
case _:
(t.a, t.b) = t
return down(d, s, warp(d-1, s, t.a, t.b))
def down(d,s,t):
switch d:
case 0:
return t
case _:
(t.a, t.b) = t
return (flow(d-1, s, t.a), flow(d-1, s, t.b))
def sort(d, s, t):
switch d:
case 0:
return t
case _:
(t.a, t.b) = t
return flow(d, s, (sort(d-1, 0, t.a), sort(d-1, 1, t.b)))
def main:
return sum(12, sort(12, 0, gen(12, 0)))