Parking functions on small trees -- Sage

%hide def flatten(L,new_L): for l in L: if type(l)==list: flatten(l,new_L) else: new_L.append(l) def recurse_find_parking_function(T,root): if T.order()==1: return [[T.vertices()[0]],[[T.vertices()[0],T.vertices()[0]]]] else: parking_function=[] subparts=[] F=copy(T) F.delete_vertex(root) n=F.connected_components_number() for v in T.neighbors(root): subparts.append(recurse_find_parking_function(F.subgraph(F.connected_component_containing_vertex(v)),v)) with_root = [root] for i in range(n): with_root=CartesianProduct(with_root,subparts[i][0]) for t in with_root: s=[] flatten(t,s) s.sort() parking_function.append(s) for i in range(n): without_root=subparts[i][1] for j in range(n): if not i==j: without_root=CartesianProduct(without_root,subparts[j][0]) for t in without_root: s=[] flatten(t,s) s.sort() if not s in parking_function: parking_function.append(s) parking_plus_one=[] for P in parking_function: for i in T.vertices(): q=copy(P) q.append(i) q.sort() if not q in parking_plus_one: parking_plus_one.append(q) return [parking_function,parking_plus_one] def parking_tree_stats(T,root): s,t=recurse_find_parking_function(T,root) ordered=0 for q in s: count=factorial(T.order()) for i in range(T.order()): count=count/factorial(q.count(i)) ordered+=count print " There are "+str(len(s))+" unordered parking functions" print " There are "+str(ordered)+" ordered parking functions" print " There are "+str(len(t))+" ways to send one excess car out the root"

%hide html('') for num_vertices in range(2,10): for T in graphs.trees(num_vertices): T.show() for v in T.automorphism_group().orbits(): print "Placing the root at "+str(v[0]%T.order()) parking_tree_stats(T,v[0]) orbited=[] for b in T.automorphism_group().orbits(): orbited.extend(b) for i in range(T.order()): if (i not in orbited) and ((i+T.order()) not in orbited): print "Placing the root at "+str(i) parking_tree_stats(T,i)

Placing the root at 1
  There are 2 unordered parking functions
  There are 3 ordered parking functions
  There are 3 ways to send one excess car out the root

Placing the root at 1
  There are 5 unordered parking functions
  There are 16 ordered parking functions
  There are 9 ways to send one excess car out the root
Placing the root at 0
  There are 3 unordered parking functions
  There are 12 ordered parking functions
  There are 6 ways to send one excess car out the root

Placing the root at 1
  There are 7 unordered parking functions
  There are 82 ordered parking functions
  There are 16 ways to send one excess car out the root
Placing the root at 2
  There are 14 unordered parking functions
  There are 125 ordered parking functions
  There are 28 ways to send one excess car out the root

Placing the root at 1
  There are 9 unordered parking functions
  There are 98 ordered parking functions
  There are 19 ways to send one excess car out the root
Placing the root at 0
  There are 4 unordered parking functions
  There are 60 ordered parking functions
  There are 10 ways to send one excess car out the root

Placing the root at 1
  There are 19 unordered parking functions
  There are 785 ordered parking functions
  There are 47 ways to send one excess car out the root
Placing the root at 2
  There are 42 unordered parking functions
  There are 1296 ordered parking functions
  There are 90 ways to send one excess car out the root
Placing the root at 0
  There are 16 unordered parking functions
  There are 690 ordered parking functions
  There are 41 ways to send one excess car out the root

Placing the root at 1
  There are 12 unordered parking functions
  There are 610 ordered parking functions
  There are 31 ways to send one excess car out the root
Placing the root at 2
  There are 28 unordered parking functions
  There are 1040 ordered parking functions
  There are 62 ways to send one excess car out the root
Placing the root at 3
  There are 23 unordered parking functions
  There are 905 ordered parking functions
  There are 53 ways to send one excess car out the root
Placing the root at 0
  There are 9 unordered parking functions
  There are 500 ordered parking functions
  There are 25 ways to send one excess car out the root

Placing the root at 1
  There are 14 unordered parking functions
  There are 690 ordered parking functions
  There are 34 ways to send one excess car out the root
Placing the root at 0
  There are 5 unordered parking functions
  There are 360 ordered parking functions
  There are 15 ways to send one excess car out the root

Placing the root at 1
  There are 43 unordered parking functions
  There are 7865 ordered parking functions
  There are 118 ways to send one excess car out the root
Placing the root at 2
  There are 56 unordered parking functions
  There are 9651 ordered parking functions
  There are 146 ways to send one excess car out the root
Placing the root at 3
  There are 132 unordered parking functions
  There are 16807 ordered parking functions
  There are 297 ways to send one excess car out the root

Placing the root at 1
  There are 24 unordered parking functions
  There are 5670 ordered parking functions
  There are 71 ways to send one excess car out the root
Placing the root at 2
  There are 66 unordered parking functions
  There are 10931 ordered parking functions
  There are 161 ways to send one excess car out the root
Placing the root at 0
  There are 27 unordered parking functions
  There are 6090 ordered parking functions
  There are 77 ways to send one excess car out the root
Placing the root at 4
  There are 37 unordered parking functions
  There are 7710 ordered parking functions
  There are 99 ways to send one excess car out the root
Placing the root at 5
  There are 90 unordered parking functions
  There are 13682 ordered parking functions
  There are 207 ways to send one excess car out the root

Placing the root at 1
  There are 15 unordered parking functions
  There are 4380 ordered parking functions
  There are 46 ways to send one excess car out the root
Placing the root at 2
  There are 43 unordered parking functions
  There are 8670 ordered parking functions
  There are 108 ways to send one excess car out the root

Placing the root at 1
  There are 30 unordered parking functions
  There are 6660 ordered parking functions
  There are 83 ways to send one excess car out the root
Placing the root at 2
  There are 76 unordered parking functions
  There are 12146 ordered parking functions
  There are 179 ways to send one excess car out the root
Placing the root at 0
  There are 20 unordered parking functions
  There are 4950 ordered parking functions
  There are 61 ways to send one excess car out the root
Placing the root at 5
  There are 57 unordered parking functions
  There are 9800 ordered parking functions
  There are 142 ways to send one excess car out the root

Placing the root at 1
  There are 18 unordered parking functions
  There are 5040 ordered parking functions
  There are 52 ways to send one excess car out the root
Placing the root at 2
  There are 48 unordered parking functions
  There are 9480 ordered parking functions
  There are 117 ways to send one excess car out the root
Placing the root at 3
  There are 34 unordered parking functions
  There are 7380 ordered parking functions
  There are 89 ways to send one excess car out the root
Placing the root at 0
  There are 11 unordered parking functions
  There are 3540 ordered parking functions
  There are 36 ways to send one excess car out the root

Placing the root at 1
  There are 20 unordered parking functions
  There are 5520 ordered parking functions
  There are 55 ways to send one excess car out the root
Placing the root at 0
  There are 6 unordered parking functions
  There are 2520 ordered parking functions
  There are 21 ways to send one excess car out the root

Placing the root at 1
  There are 126 unordered parking functions
  There are 112273 ordered parking functions
  There are 362 ways to send one excess car out the root
Placing the root at 2
  There are 174 unordered parking functions
  There are 144865 ordered parking functions
  There are 471 ways to send one excess car out the root
Placing the root at 3
  There are 429 unordered parking functions
  There are 262144 ordered parking functions
  There are 1001 ways to send one excess car out the root
Placing the root at 0
  There are 115 unordered parking functions
  There are 104160 ordered parking functions
  There are 336 ways to send one excess car out the root

Placing the root at 1
  There are 83 unordered parking functions
  There are 89530 ordered parking functions
  There are 244 ways to send one excess car out the root
Placing the root at 2
  There are 118 unordered parking functions
  There are 117614 ordered parking functions
  There are 325 ways to send one excess car out the root
Placing the root at 3
  There are 297 unordered parking functions
  There are 215488 ordered parking functions
  There are 704 ways to send one excess car out the root
Placing the root at 4
  There are 70 unordered parking functions
  There are 80682 ordered parking functions
  There are 216 ways to send one excess car out the root
Placing the root at 5
  There are 202 unordered parking functions
  There are 162365 ordered parking functions
  There are 513 ways to send one excess car out the root
Placing the root at 0
  There are 72 unordered parking functions
  There are 80500 ordered parking functions
  There are 218 ways to send one excess car out the root

Placing the root at 1
  There are 67 unordered parking functions
  There are 77105 ordered parking functions
  There are 203 ways to send one excess car out the root
Placing the root at 0
  There are 53 unordered parking functions
  There are 65135 ordered parking functions
  There are 171 ways to send one excess car out the root
Placing the root at 2
  There are 99 unordered parking functions
  There are 104027 ordered parking functions
  There are 278 ways to send one excess car out the root
Placing the root at 3
  There are 255 unordered parking functions
  There are 193613 ordered parking functions
  There are 614 ways to send one excess car out the root
Placing the root at 4
  There are 85 unordered parking functions
  There are 93002 ordered parking functions
  There are 246 ways to send one excess car out the root
Placing the root at 5
  There are 227 unordered parking functions
  There are 177485 ordered parking functions
  There are 558 ways to send one excess car out the root
Placing the root at 6
  There are 161 unordered parking functions
  There are 136353 ordered parking functions
  There are 422 ways to send one excess car out the root

Placing the root at 1
  There are 29 unordered parking functions
  There are 46410 ordered parking functions
  There are 100 ways to send one excess car out the root
Placing the root at 2
  There are 95 unordered parking functions
  There are 101962 ordered parking functions
  There are 261 ways to send one excess car out the root
Placing the root at 0
  There are 40 unordered parking functions
  There are 58170 ordered parking functions
  There are 126 ways to send one excess car out the root
Placing the root at 5
  There are 62 unordered parking functions
  There are 80850 ordered parking functions
  There are 179 ways to send one excess car out the root
Placing the root at 6
  There are 165 unordered parking functions
  There are 153426 ordered parking functions
  There are 407 ways to send one excess car out the root

Placing the root at 1
  There are 46 unordered parking functions
  There are 64260 ordered parking functions
  There are 145 ways to send one excess car out the root
Placing the root at 2
  There are 136 unordered parking functions
  There are 131334 ordered parking functions
  There are 352 ways to send one excess car out the root
Placing the root at 0
  There are 45 unordered parking functions
  There are 62160 ordered parking functions
  There are 141 ways to send one excess car out the root

Placing the root at 1
  There are 37 unordered parking functions
  There are 55230 ordered parking functions
  There are 120 ways to send one excess car out the root
Placing the root at 2
  There are 113 unordered parking functions
  There are 115507 ordered parking functions
  There are 299 ways to send one excess car out the root
Placing the root at 0
  There are 33 unordered parking functions
  There are 50190 ordered parking functions
  There are 110 ways to send one excess car out the root
Placing the root at 4
  There are 55 unordered parking functions
  There are 73500 ordered parking functions
  There are 163 ways to send one excess car out the root
Placing the root at 5
  There are 151 unordered parking functions
  There are 142674 ordered parking functions
  There are 379 ways to send one excess car out the root
Placing the root at 6
  There are 104 unordered parking functions
  There are 107590 ordered parking functions
  There are 280 ways to send one excess car out the root

Placing the root at 1
  There are 22 unordered parking functions
  There are 41580 ordered parking functions
  There are 74 ways to send one excess car out the root
Placing the root at 2
  There are 70 unordered parking functions
  There are 89250 ordered parking functions
  There are 191 ways to send one excess car out the root
Placing the root at 4
  There are 61 unordered parking functions
  There are 80220 ordered parking functions
  There are 172 ways to send one excess car out the root
Placing the root at 0
  There are 18 unordered parking functions
  There are 35700 ordered parking functions
  There are 64 ways to send one excess car out the root

Placing the root at 1
  There are 73 unordered parking functions
  There are 83090 ordered parking functions
  There are 215 ways to send one excess car out the root
Placing the root at 2
  There are 199 unordered parking functions
  There are 160986 ordered parking functions
  There are 496 ways to send one excess car out the root
Placing the root at 0
  There are 44 unordered parking functions
  There are 56700 ordered parking functions
  There are 146 ways to send one excess car out the root

Placing the root at 1
  There are 43 unordered parking functions
  There are 62160 ordered parking functions
  There are 132 ways to send one excess car out the root
Placing the root at 2
  There are 123 unordered parking functions
  There are 124012 ordered parking functions
  There are 317 ways to send one excess car out the root
Placing the root at 5
  There are 81 unordered parking functions
  There are 90650 ordered parking functions
  There are 227 ways to send one excess car out the root
Placing the root at 0
  There are 24 unordered parking functions
  There are 40320 ordered parking functions
  There are 85 ways to send one excess car out the root

Placing the root at 1
  There are 25 unordered parking functions
  There are 46200 ordered parking functions
  There are 80 ways to send one excess car out the root
Placing the root at 2
  There are 75 unordered parking functions
  There are 94920 ordered parking functions
  There are 200 ways to send one excess car out the root
Placing the root at 3
  There are 47 unordered parking functions
  There are 67200 ordered parking functions
  There are 138 ways to send one excess car out the root
Placing the root at 0
  There are 13 unordered parking functions
  There are 28560 ordered parking functions
  There are 49 ways to send one excess car out the root

Placing the root at 1
  There are 27 unordered parking functions
  There are 49560 ordered parking functions
  There are 83 ways to send one excess car out the root
Placing the root at 0
  There are 7 unordered parking functions
  There are 20160 ordered parking functions
  There are 28 ways to send one excess car out the root

Placing the root at 1
  There are 336 unordered parking functions
  There are 1694966 ordered parking functions
  There are 1024 ways to send one excess car out the root
Placing the root at 2
  There are 390 unordered parking functions
  There are 1919820 ordered parking functions
  There are 1158 ways to send one excess car out the root
Placing the root at 3
  There are 561 unordered parking functions
  There are 2567748 ordered parking functions
  There are 1562 ways to send one excess car out the root
Placing the root at 4
  There are 1430 unordered parking functions
  There are 4782969 ordered parking functions
  There are 3432 ways to send one excess car out the root

Placing the root at 1
  There are 210 unordered parking functions
  There are 1308412 ordered parking functions
  There are 662 ways to send one excess car out the root
Placing the root at 2
  There are 216 unordered parking functions
  There are 1376648 ordered parking functions
  There are 687 ways to send one excess car out the root
Placing the root at 3
  There are 645 unordered parking functions
  There are 2858052 ordered parking functions
  There are 1688 ways to send one excess car out the root
Placing the root at 0
  There are 221 unordered parking functions
  There are 1350300 ordered parking functions
  There are 688 ways to send one excess car out the root
Placing the root at 5
  There are 264 unordered parking functions
  There are 1556968 ordered parking functions
  There are 796 ways to send one excess car out the root
Placing the root at 6
  There are 387 unordered parking functions
  There are 2107000 ordered parking functions
  There are 1091 ways to send one excess car out the root
Placing the root at 7
  There are 1001 unordered parking functions
  There are 3959426 ordered parking functions
  There are 2431 ways to send one excess car out the root

Placing the root at 1
  There are 138 unordered parking functions
  There are 1041880 ordered parking functions
  There are 444 ways to send one excess car out the root
Placing the root at 2
  There are 146 unordered parking functions
  There are 1115632 ordered parking functions
  There are 471 ways to send one excess car out the root
Placing the root at 3
  There are 443 unordered parking functions
  There are 2339960 ordered parking functions
  There are 1175 ways to send one excess car out the root

Placing the root at 1
  There are 154 unordered parking functions
  There are 1055684 ordered parking functions
  There are 516 ways to send one excess car out the root
Placing the root at 0
  There are 178 unordered parking functions
  There are 1161020 ordered parking functions
  There are 570 ways to send one excess car out the root
Placing the root at 2
  There are 258 unordered parking functions
  There are 1569148 ordered parking functions
  There are 771 ways to send one excess car out the root
Placing the root at 3
  There are 715 unordered parking functions
  There are 3094302 ordered parking functions
  There are 1814 ways to send one excess car out the root
Placing the root at 4
  There are 488 unordered parking functions
  There are 2296070 ordered parking functions
  There are 1326 ways to send one excess car out the root
Placing the root at 5
  There are 221 unordered parking functions
  There are 1375024 ordered parking functions
  There are 678 ways to send one excess car out the root
Placing the root at 6
  There are 331 unordered parking functions
  There are 1888992 ordered parking functions
  There are 945 ways to send one excess car out the root
Placing the root at 7
  There are 869 unordered parking functions
  There are 3586178 ordered parking functions
  There are 2134 ways to send one excess car out the root

Placing the root at 1
  There are 101 unordered parking functions
  There are 839720 ordered parking functions
  There are 345 ways to send one excess car out the root
Placing the root at 2
  There are 173 unordered parking functions
  There are 1266552 ordered parking functions
  There are 525 ways to send one excess car out the root
Placing the root at 3
  There are 488 unordered parking functions
  There are 2525180 ordered parking functions
  There are 1256 ways to send one excess car out the root
Placing the root at 4
  There are 327 unordered parking functions
  There are 1851948 ordered parking functions
  There are 904 ways to send one excess car out the root
Placing the root at 5
  There are 122 unordered parking functions
  There are 984256 ordered parking functions
  There are 400 ways to send one excess car out the root
Placing the root at 6
  There are 377 unordered parking functions
  There are 2091712 ordered parking functions
  There are 1014 ways to send one excess car out the root
Placing the root at 0
  There are 111 unordered parking functions
  There are 895160 ordered parking functions
  There are 367 ways to send one excess car out the root

Placing the root at 1
  There are 81 unordered parking functions
  There are 720160 ordered parking functions
  There are 284 ways to send one excess car out the root
Placing the root at 2
  There are 143 unordered parking functions
  There are 1110536 ordered parking functions
  There are 442 ways to send one excess car out the root
Placing the root at 3
  There are 412 unordered parking functions
  There are 2246692 ordered parking functions
  There are 1077 ways to send one excess car out the root
Placing the root at 4
  There are 270 unordered parking functions
  There are 1621844 ordered parking functions
  There are 762 ways to send one excess car out the root

Placing the root at 1
  There are 189 unordered parking functions
  There are 1225924 ordered parking functions
  There are 596 ways to send one excess car out the root
Placing the root at 2
  There are 293 unordered parking functions
  There are 1725948 ordered parking functions
  There are 851 ways to send one excess car out the root
Placing the root at 3
  There are 785 unordered parking functions
  There are 3323678 ordered parking functions
  There are 1954 ways to send one excess car out the root
Placing the root at 0
  There are 140 unordered parking functions
  There are 976640 ordered parking functions
  There are 476 ways to send one excess car out the root
Placing the root at 7
  There are 451 unordered parking functions
  There are 2152822 ordered parking functions
  There are 1239 ways to send one excess car out the root

Placing the root at 1
  There are 138 unordered parking functions
  There are 1066800 ordered parking functions
  There are 434 ways to send one excess car out the root
Placing the root at 2
  There are 213 unordered parking functions
  There are 1492848 ordered parking functions
  There are 620 ways to send one excess car out the root
Placing the root at 3
  There are 572 unordered parking functions
  There are 2872212 ordered parking functions
  There are 1430 ways to send one excess car out the root
Placing the root at 4
  There are 84 unordered parking functions
  There are 750456 ordered parking functions
  There are 300 ways to send one excess car out the root
Placing the root at 5
  There are 286 unordered parking functions
  There are 1709148 ordered parking functions
  There are 813 ways to send one excess car out the root
Placing the root at 0
  There are 106 unordered parking functions
  There are 874440 ordered parking functions
  There are 352 ways to send one excess car out the root

Placing the root at 1
  There are 122 unordered parking functions
  There are 967400 ordered parking functions
  There are 393 ways to send one excess car out the root
Placing the root at 2
  There are 194 unordered parking functions
  There are 1384152 ordered parking functions
  There are 573 ways to send one excess car out the root
Placing the root at 3
  There are 530 unordered parking functions
  There are 2697212 ordered parking functions
  There are 1340 ways to send one excess car out the root
Placing the root at 4
  There are 104 unordered parking functions
  There are 875896 ordered parking functions
  There are 350 ways to send one excess car out the root
Placing the root at 5
  There are 331 unordered parking functions
  There are 1901788 ordered parking functions
  There are 908 ways to send one excess car out the root
Placing the root at 0
  There are 87 unordered parking functions
  There are 751520 ordered parking functions
  There are 305 ways to send one excess car out the root
Placing the root at 7
  There are 290 unordered parking functions
  There are 1693692 ordered parking functions
  There are 817 ways to send one excess car out the root

Placing the root at 1
  There are 162 unordered parking functions
  There are 1093680 ordered parking functions
  There are 519 ways to send one excess car out the root
Placing the root at 2
  There are 256 unordered parking functions
  There are 1562288 ordered parking functions
  There are 752 ways to send one excess car out the root
Placing the root at 3
  There are 695 unordered parking functions
  There are 3037930 ordered parking functions
  There are 1747 ways to send one excess car out the root
Placing the root at 4
  There are 204 unordered parking functions
  There are 1311044 ordered parking functions
  There are 626 ways to send one excess car out the root
Placing the root at 5
  There are 583 unordered parking functions
  There are 2646406 ordered parking functions
  There are 1511 ways to send one excess car out the root
Placing the root at 0
  There are 116 unordered parking functions
  There are 848820 ordered parking functions
  There are 405 ways to send one excess car out the root

Placing the root at 1
  There are 95 unordered parking functions
  There are 815920 ordered parking functions
  There are 316 ways to send one excess car out the root
Placing the root at 2
  There are 157 unordered parking functions
  There are 1198736 ordered parking functions
  There are 474 ways to send one excess car out the root
Placing the root at 3
  There are 440 unordered parking functions
  There are 2375716 ordered parking functions
  There are 1133 ways to send one excess car out the root
Placing the root at 4
  There are 119 unordered parking functions
  There are 974456 ordered parking functions
  There are 380 ways to send one excess car out the root
Placing the root at 5
  There are 356 unordered parking functions
  There are 2022748 ordered parking functions
  There are 953 ways to send one excess car out the root
Placing the root at 6
  There are 224 unordered parking functions
  There are 1418564 ordered parking functions
  There are 656 ways to send one excess car out the root
Placing the root at 0
  There are 63 unordered parking functions
  There are 601720 ordered parking functions
  There are 234 ways to send one excess car out the root

Placing the root at 1
  There are 34 unordered parking functions
  There are 425040 ordered parking functions
  There are 134 ways to send one excess car out the root
Placing the root at 2
  There are 129 unordered parking functions
  There are 1046136 ordered parking functions
  There are 395 ways to send one excess car out the root
Placing the root at 0
  There are 55 unordered parking functions
  There are 604800 ordered parking functions
  There are 190 ways to send one excess car out the root
Placing the root at 6
  There are 95 unordered parking functions
  There are 913920 ordered parking functions
  There are 295 ways to send one excess car out the root
Placing the root at 7
  There are 275 unordered parking functions
  There are 1846824 ordered parking functions
  There are 726 ways to send one excess car out the root

Placing the root at 1
  There are 55 unordered parking functions
  There are 596400 ordered parking functions
  There are 200 ways to send one excess car out the root
Placing the root at 2
  There are 191 unordered parking functions
  There are 1376312 ordered parking functions
  There are 552 ways to send one excess car out the root
Placing the root at 5
  There are 76 unordered parking functions
  There are 762720 ordered parking functions
  There are 255 ways to send one excess car out the root
Placing the root at 6
  There are 241 unordered parking functions
  There are 1647408 ordered parking functions
  There are 662 ways to send one excess car out the root
Placing the root at 0
  There are 66 unordered parking functions
  There are 673680 ordered parking functions
  There are 226 ways to send one excess car out the root

Placing the root at 1
  There are 44 unordered parking functions
  There are 510720 ordered parking functions
  There are 164 ways to send one excess car out the root
Placing the root at 2
  There are 157 unordered parking functions
  There are 1202376 ordered parking functions
  There are 463 ways to send one excess car out the root
Placing the root at 0
  There are 48 unordered parking functions
  There are 540960 ordered parking functions
  There are 174 ways to send one excess car out the root
Placing the root at 5
  There are 88 unordered parking functions
  There are 855120 ordered parking functions
  There are 279 ways to send one excess car out the root
Placing the root at 6
  There are 261 unordered parking functions
  There are 1760808 ordered parking functions
  There are 698 ways to send one excess car out the root
Placing the root at 7
  There are 166 unordered parking functions
  There are 1247400 ordered parking functions
  There are 482 ways to send one excess car out the root

Placing the root at 1
  There are 26 unordered parking functions
  There are 383040 ordered parking functions
  There are 100 ways to send one excess car out the root
Placing the root at 2
  There are 96 unordered parking functions
  There are 922320 ordered parking functions
  There are 291 ways to send one excess car out the root

Placing the root at 1
  There are 67 unordered parking functions
  There are 690480 ordered parking functions
  There are 230 ways to send one excess car out the root
Placing the root at 2
  There are 218 unordered parking functions
  There are 1520792 ordered parking functions
  There are 609 ways to send one excess car out the root
Placing the root at 0
  There are 54 unordered parking functions
  There are 577920 ordered parking functions
  There are 195 ways to send one excess car out the root
Placing the root at 7
  There are 186 unordered parking functions
  There are 1330840 ordered parking functions
  There are 537 ways to send one excess car out the root

Placing the root at 1
  There are 89 unordered parking functions
  There are 780640 ordered parking functions
  There are 304 ways to send one excess car out the root
Placing the root at 2
  There are 288 unordered parking functions
  There are 1716848 ordered parking functions
  There are 800 ways to send one excess car out the root
Placing the root at 4
  There are 131 unordered parking functions
  There are 1031240 ordered parking functions
  There are 411 ways to send one excess car out the root
Placing the root at 5
  There are 384 unordered parking functions
  There are 2114700 ordered parking functions
  There are 1015 ways to send one excess car out the root
Placing the root at 0
  There are 72 unordered parking functions
  There are 652680 ordered parking functions
  There are 259 ways to send one excess car out the root

Placing the root at 1
  There are 52 unordered parking functions
  There are 581280 ordered parking functions
  There are 184 ways to send one excess car out the root
Placing the root at 2
  There are 175 unordered parking functions
  There are 1310736 ordered parking functions
  There are 501 ways to send one excess car out the root
Placing the root at 4
  There are 76 unordered parking functions
  There are 764400 ordered parking functions
  There are 248 ways to send one excess car out the root
Placing the root at 5
  There are 233 unordered parking functions
  There are 1611512 ordered parking functions
  There are 636 ways to send one excess car out the root
Placing the root at 6
  There are 143 unordered parking functions
  There are 1111880 ordered parking functions
  There are 429 ways to send one excess car out the root
Placing the root at 0
  There are 39 unordered parking functions
  There are 462000 ordered parking functions
  There are 149 ways to send one excess car out the root

Placing the root at 1
  There are 30 unordered parking functions
  There are 430080 ordered parking functions
  There are 110 ways to send one excess car out the root
Placing the root at 2
  There are 105 unordered parking functions
  There are 994560 ordered parking functions
  There are 310 ways to send one excess car out the root
Placing the root at 4
  There are 82 unordered parking functions
  There are 818160 ordered parking functions
  There are 257 ways to send one excess car out the root
Placing the root at 0
  There are 21 unordered parking functions
  There are 325920 ordered parking functions
  There are 85 ways to send one excess car out the root

Placing the root at 1
  There are 101 unordered parking functions
  There are 863800 ordered parking functions
  There are 328 ways to send one excess car out the root
Placing the root at 2
  There are 308 unordered parking functions
  There are 1818908 ordered parking functions
  There are 836 ways to send one excess car out the root
Placing the root at 0
  There are 52 unordered parking functions
  There are 521640 ordered parking functions
  There are 198 ways to send one excess car out the root
Placing the root at 7
  There are 190 unordered parking functions
  There are 1256220 ordered parking functions
  There are 567 ways to send one excess car out the root

Placing the root at 1
  There are 58 unordered parking functions
  There are 636720 ordered parking functions
  There are 196 ways to send one excess car out the root
Placing the root at 2
  There are 185 unordered parking functions
  There are 1378776 ordered parking functions
  There are 519 ways to send one excess car out the root
Placing the root at 5
  There are 109 unordered parking functions
  There are 924280 ordered parking functions
  There are 340 ways to send one excess car out the root
Placing the root at 0
  There are 28 unordered parking functions
  There are 367920 ordered parking functions
  There are 113 ways to send one excess car out the root

Placing the root at 1
  There are 33 unordered parking functions
  There are 467040 ordered parking functions
  There are 116 ways to send one excess car out the root
Placing the root at 2
  There are 110 unordered parking functions
  There are 1039920 ordered parking functions
  There are 319 ways to send one excess car out the root
Placing the root at 3
  There are 62 unordered parking functions
  There are 677040 ordered parking functions
  There are 202 ways to send one excess car out the root
Placing the root at 0
  There are 15 unordered parking functions
  There are 258720 ordered parking functions
  There are 64 ways to send one excess car out the root

Placing the root at 1
  There are 35 unordered parking functions
  There are 493920 ordered parking functions
  There are 119 ways to send one excess car out the root
Placing the root at 0
  There are 8 unordered parking functions
  There are 181440 ordered parking functions
  There are 36 ways to send one excess car out the root

Placing the root at 1
  There are 1038 unordered parking functions
  There are 32549664 ordered parking functions
  There are 3261 ways to send one excess car out the root
Placing the root at 2
  There are 1254 unordered parking functions
  There are 38194068 ordered parking functions
  There are 3817 ways to send one excess car out the root
Placing the root at 3
  There are 1859 unordered parking functions
  There are 52483905 ordered parking functions
  There are 5291 ways to send one excess car out the root
Placing the root at 4
  There are 4862 unordered parking functions
  There are 100000000 ordered parking functions
  There are 11934 ways to send one excess car out the root
Placing the root at 0
  There are 980 unordered parking functions
  There are 30980250 ordered parking functions
  There are 3108 ways to send one excess car out the root

Placing the root at 1
  There are 702 unordered parking functions
  There are 26382048 ordered parking functions
  There are 2237 ways to send one excess car out the root
Placing the root at 2
  There are 864 unordered parking functions
  There are 31317720 ordered parking functions
  There are 2659 ways to send one excess car out the root
Placing the root at 3
  There are 1298 unordered parking functions
  There are 43392402 ordered parking functions
  There are 3729 ways to send one excess car out the root
Placing the root at 4
  There are 3432 unordered parking functions
  There are 83222784 ordered parking functions
  There are 8502 ways to send one excess car out the root
Placing the root at 5
  There are 648 unordered parking functions
  There are 25106256 ordered parking functions
  There are 2103 ways to send one excess car out the root
Placing the root at 6
  There are 693 unordered parking functions
  There are 27345096 ordered parking functions
  There are 2255 ways to send one excess car out the root
Placing the root at 7
  There are 2123 unordered parking functions
  There are 58131057 ordered parking functions
  There are 5687 ways to send one excess car out the root
Placing the root at 0
  There are 644 unordered parking functions
  There are 24665508 ordered parking functions
  There are 2084 ways to send one excess car out the root

Placing the root at 1
  There are 587 unordered parking functions
  There are 23280054 ordered parking functions
  There are 1901 ways to send one excess car out the root
Placing the root at 0
  There are 518 unordered parking functions
  There are 21186522 ordered parking functions
  There are 1722 ways to send one excess car out the root
Placing the root at 2
  There are 738 unordered parking functions
  There are 28052052 ordered parking functions
  There are 2297 ways to send one excess car out the root
Placing the root at 3
  There are 1124 unordered parking functions
  There are 39245670 ordered parking functions
  There are 3258 ways to send one excess car out the root
Placing the root at 4
  There are 3003 unordered parking functions
  There are 75810897 ordered parking functions
  There are 7501 ways to send one excess car out the root
Placing the root at 5
  There are 474 unordered parking functions
  There are 20217708 ordered parking functions
  There are 1632 ways to send one excess car out the root
Placing the root at 6
  There are 819 unordered parking functions
  There are 30937608 ordered parking functions
  There are 2507 ways to send one excess car out the root
Placing the root at 7
  There are 2333 unordered parking functions
  There are 62540049 ordered parking functions
  There are 6065 ways to send one excess car out the root
Placing the root at 8
  There are 1548 unordered parking functions
  There are 45215796 ordered parking functions
  There are 4321 ways to send one excess car out the root

Placing the root at 1
  There are 501 unordered parking functions
  There are 20724774 ordered parking functions
  There are 1665 ways to send one excess car out the root
Placing the root at 0
  There are 406 unordered parking functions
  There are 17774694 ordered parking functions
  There are 1430 ways to send one excess car out the root
Placing the root at 2
  There are 652 unordered parking functions
  There are 25595808 ordered parking functions
  There are 2061 ways to send one excess car out the root
Placing the root at 3
  There are 1012 unordered parking functions
  There are 36302562 ordered parking functions
  There are 2966 ways to send one excess car out the root
Placing the root at 4
  There are 2739 unordered parking functions
  There are 70772049 ordered parking functions
  There are 6907 ways to send one excess car out the root
Placing the root at 5
  There are 572 unordered parking functions
  There are 23210208 ordered parking functions
  There are 1856 ways to send one excess car out the root
Placing the root at 6
  There are 917 unordered parking functions
  There are 33693858 ordered parking functions
  There are 2731 ways to send one excess car out the root
Placing the root at 7
  There are 2529 unordered parking functions
  There are 66572049 ordered parking functions
  There are 6457 ways to send one excess car out the root
Placing the root at 8
  There are 1360 unordered parking functions
  There are 40597914 ordered parking functions
  There are 3863 ways to send one excess car out the root

Placing the root at 1
  There are 308 unordered parking functions
  There are 15940260 ordered parking functions
  There are 1060 ways to send one excess car out the root
Placing the root at 2
  There are 258 unordered parking functions
  There are 14349384 ordered parking functions
  There are 945 ways to send one excess car out the root
Placing the root at 3
  There are 903 unordered parking functions
  There are 33550344 ordered parking functions
  There are 2633 ways to send one excess car out the root
Placing the root at 0
  There are 366 unordered parking functions
  There are 18044460 ordered parking functions
  There are 1213 ways to send one excess car out the root
Placing the root at 6
  There are 474 unordered parking functions
  There are 22144248 ordered parking functions
  There are 1501 ways to send one excess car out the root
Placing the root at 7
  There are 737 unordered parking functions
  There are 31373244 ordered parking functions
  There are 2167 ways to send one excess car out the root
Placing the root at 8
  There are 2002 unordered parking functions
  There are 61197954 ordered parking functions
  There are 5070 ways to send one excess car out the root

Placing the root at 1
  There are 252 unordered parking functions
  There are 13665708 ordered parking functions
  There are 914 ways to send one excess car out the root
Placing the root at 2
  There are 314 unordered parking functions
  There are 16554384 ordered parking functions
  There are 1085 ways to send one excess car out the root
Placing the root at 3
  There are 1029 unordered parking functions
  There are 36936594 ordered parking functions
  There are 2899 ways to send one excess car out the root
Placing the root at 0
  There are 323 unordered parking functions
  There are 16340940 ordered parking functions
  There are 1095 ways to send one excess car out the root
Placing the root at 5
  There are 872 unordered parking functions
  There are 31878756 ordered parking functions
  There are 2537 ways to send one excess car out the root
Placing the root at 6
  There are 431 unordered parking functions
  There are 20506752 ordered parking functions
  There are 1383 ways to send one excess car out the root
Placing the root at 7
  There are 681 unordered parking functions
  There are 29411172 ordered parking functions
  There are 2021 ways to send one excess car out the root
Placing the root at 8
  There are 1870 unordered parking functions
  There are 57838722 ordered parking functions
  There are 4773 ways to send one excess car out the root

Placing the root at 1
  There are 438 unordered parking functions
  There are 20343456 ordered parking functions
  There are 1441 ways to send one excess car out the root
Placing the root at 2
  There are 477 unordered parking functions
  There are 22410864 ordered parking functions
  There are 1568 ways to send one excess car out the root
Placing the root at 3
  There are 1478 unordered parking functions
  There are 47989554 ordered parking functions
  There are 3999 ways to send one excess car out the root
Placing the root at 0
  There are 423 unordered parking functions
  There are 19633320 ordered parking functions
  There are 1396 ways to send one excess car out the root

Placing the root at 1
  There are 366 unordered parking functions
  There are 17944668 ordered parking functions
  There are 1223 ways to send one excess car out the root
Placing the root at 2
  There are 407 unordered parking functions
  There are 20061720 ordered parking functions
  There are 1352 ways to send one excess car out the root
Placing the root at 3
  There are 1276 unordered parking functions
  There are 43326726 ordered parking functions
  There are 3486 ways to send one excess car out the root
Placing the root at 0
  There are 340 unordered parking functions
  There are 16857540 ordered parking functions
  There are 1152 ways to send one excess car out the root
Placing the root at 5
  There are 320 unordered parking functions
  There are 16371432 ordered parking functions
  There are 1116 ways to send one excess car out the root
Placing the root at 6
  There are 561 unordered parking functions
  There are 25293744 ordered parking functions
  There are 1736 ways to send one excess car out the root
Placing the root at 7
  There are 1618 unordered parking functions
  There are 51527634 ordered parking functions
  There are 4251 ways to send one excess car out the root
Placing the root at 8
  There are 1060 unordered parking functions
  There are 36952440 ordered parking functions
  There are 2995 ways to send one excess car out the root

Placing the root at 1
  There are 312 unordered parking functions
  There are 15963948 ordered parking functions
  There are 1069 ways to send one excess car out the root
Placing the root at 2
  There are 359 unordered parking functions
  There are 18288144 ordered parking functions
  There are 1210 ways to send one excess car out the root
Placing the root at 3
  There are 1144 unordered parking functions
  There are 39975378 ordered parking functions
  There are 3164 ways to send one excess car out the root
Placing the root at 0
  There are 266 unordered parking functions
  There are 14128380 ordered parking functions
  There are 954 ways to send one excess car out the root
Placing the root at 5
  There are 383 unordered parking functions
  There are 18717552 ordered parking functions
  There are 1260 ways to send one excess car out the root
Placing the root at 6
  There are 624 unordered parking functions
  There are 27454644 ordered parking functions
  There are 1880 ways to send one excess car out the root
Placing the root at 7
  There are 1744 unordered parking functions
  There are 54688722 ordered parking functions
  There are 4503 ways to send one excess car out the root
Placing the root at 8
  There are 909 unordered parking functions
  There are 32691876 ordered parking functions
  There are 2624 ways to send one excess car out the root

Placing the root at 1
  There are 228 unordered parking functions
  There are 13902840 ordered parking functions
  There are 779 ways to send one excess car out the root
Placing the root at 2
  There are 261 unordered parking functions
  There are 15824592 ordered parking functions
  There are 881 ways to send one excess car out the root
Placing the root at 3
  There are 833 unordered parking functions
  There are 34558524 ordered parking functions
  There are 2311 ways to send one excess car out the root
Placing the root at 5
  There are 174 unordered parking functions
  There are 11613168 ordered parking functions
  There are 645 ways to send one excess car out the root
Placing the root at 6
  There are 617 unordered parking functions
  There are 27390384 ordered parking functions
  There are 1820 ways to send one excess car out the root
Placing the root at 0
  There are 202 unordered parking functions
  There are 12678120 ordered parking functions
  There are 708 ways to send one excess car out the root

Placing the root at 1
  There are 201 unordered parking functions
  There are 12582360 ordered parking functions
  There are 702 ways to send one excess car out the root
Placing the root at 2
  There are 237 unordered parking functions
  There are 14642208 ordered parking functions
  There are 810 ways to send one excess car out the root
Placing the root at 3
  There are 767 unordered parking functions
  There are 32324292 ordered parking functions
  There are 2150 ways to send one excess car out the root
Placing the root at 5
  There are 210 unordered parking functions
  There are 13341888 ordered parking functions
  There are 735 ways to send one excess car out the root
Placing the root at 6
  There are 698 unordered parking functions
  There are 30045204 ordered parking functions
  There are 1991 ways to send one excess car out the root
Placing the root at 0
  There are 165 unordered parking functions
  There are 10858680 ordered parking functions
  There are 609 ways to send one excess car out the root
Placing the root at 8
  There are 582 unordered parking functions
  There are 25653096 ordered parking functions
  There are 1720 ways to send one excess car out the root

Placing the root at 1
  There are 267 unordered parking functions
  There are 14225400 ordered parking functions
  There are 928 ways to send one excess car out the root
Placing the root at 2
  There are 313 unordered parking functions
  There are 16530192 ordered parking functions
  There are 1065 ways to send one excess car out the root
Placing the root at 3
  There are 1008 unordered parking functions
  There are 36429666 ordered parking functions
  There are 2812 ways to send one excess car out the root
Placing the root at 5
  There are 410 unordered parking functions
  There are 19890612 ordered parking functions
  There are 1314 ways to send one excess car out the root
Placing the root at 6
  There are 1231 unordered parking functions
  There are 41780508 ordered parking functions
  There are 3328 ways to send one excess car out the root
Placing the root at 0
  There are 220 unordered parking functions
  There are 12262320 ordered parking functions
  There are 809 ways to send one excess car out the root

Placing the root at 1
  There are 156 unordered parking functions
  There are 10589040 ordered parking functions
  There are 561 ways to send one excess car out the root
Placing the root at 2
  There are 191 unordered parking functions
  There are 12648384 ordered parking functions
  There are 665 ways to send one excess car out the root
Placing the root at 3
  There are 631 unordered parking functions
  There are 28325556 ordered parking functions
  There are 1798 ways to send one excess car out the root
Placing the root at 5
  There are 237 unordered parking functions
  There are 14700168 ordered parking functions
  There are 789 ways to send one excess car out the root
Placing the root at 6
  There are 743 unordered parking functions
  There are 31712184 ordered parking functions
  There are 2072 ways to send one excess car out the root
Placing the root at 7
  There are 446 unordered parking functions
  There are 21372372 ordered parking functions
  There are 1368 ways to send one excess car out the root
Placing the root at 0
  There are 119 unordered parking functions
  There are 8668800 ordered parking functions
  There are 464 ways to send one excess car out the root

Placing the root at 1
  There are 336 unordered parking functions
  There are 15432984 ordered parking functions
  There are 1214 ways to send one excess car out the root
Placing the root at 2
  There are 614 unordered parking functions
  There are 24706458 ordered parking functions
  There are 1940 ways to send one excess car out the root
Placing the root at 3
  There are 1814 unordered parking functions
  There are 51374046 ordered parking functions
  There are 4839 ways to send one excess car out the root
Placing the root at 0
  There are 429 unordered parking functions
  There are 18474540 ordered parking functions
  There are 1447 ways to send one excess car out the root
Placing the root at 6
  There are 569 unordered parking functions
  There are 23148888 ordered parking functions
  There are 1817 ways to send one excess car out the root
Placing the root at 7
  There are 894 unordered parking functions
  There are 33136866 ordered parking functions
  There are 2641 ways to send one excess car out the root
Placing the root at 8
  There are 2442 unordered parking functions
  There are 65039778 ordered parking functions
  There are 6203 ways to send one excess car out the root

Placing the root at 1
  There are 182 unordered parking functions
  There are 10918656 ordered parking functions
  There are 698 ways to send one excess car out the root
Placing the root at 2
  There are 356 unordered parking functions
  There are 18286884 ordered parking functions
  There are 1169 ways to send one excess car out the root
Placing the root at 3
  There are 1099 unordered parking functions
  There are 39062844 ordered parking functions
  There are 3025 ways to send one excess car out the root
Placing the root at 4
  There are 670 unordered parking functions
  There are 26596458 ordered parking functions
  There are 2024 ways to send one excess car out the root
Placing the root at 0
  There are 251 unordered parking functions
  There are 13761720 ordered parking functions
  There are 877 ways to send one excess car out the root
Placing the root at 6
  There are 348 unordered parking functions
  There are 17732736 ordered parking functions
  There are 1139 ways to send one excess car out the root
Placing the root at 7
  There are 563 unordered parking functions
  There are 25845876 ordered parking functions
  There are 1696 ways to send one excess car out the root
Placing the root at 8
  There are 1573 unordered parking functions
  There are 51413028 ordered parking functions
  There are 4069 ways to send one excess car out the root

Placing the root at 1
  There are 267 unordered parking functions
  There are 14427756 ordered parking functions
  There are 945 ways to send one excess car out the root
Placing the root at 2
  There are 476 unordered parking functions
  There are 22570380 ordered parking functions
  There are 1490 ways to send one excess car out the root
Placing the root at 3
  There are 1391 unordered parking functions
  There are 46405536 ordered parking functions
  There are 3693 ways to send one excess car out the root
Placing the root at 4
  There are 899 unordered parking functions
  There are 32955342 ordered parking functions
  There are 2573 ways to send one excess car out the root
Placing the root at 0
  There are 273 unordered parking functions
  There are 14464800 ordered parking functions
  There are 949 ways to send one excess car out the root

Placing the root at 1
  There are 227 unordered parking functions
  There are 12813696 ordered parking functions
  There are 823 ways to send one excess car out the root
Placing the root at 0
  There are 213 unordered parking functions
  There are 12102300 ordered parking functions
  There are 783 ways to send one excess car out the root
Placing the root at 2
  There are 416 unordered parking functions
  There are 20464164 ordered parking functions
  There are 1324 ways to send one excess car out the root
Placing the root at 3
  There are 1239 unordered parking functions
  There are 42645948 ordered parking functions
  There are 3335 ways to send one excess car out the root
Placing the root at 4
  There are 785 unordered parking functions
  There are 29848938 ordered parking functions
  There are 2289 ways to send one excess car out the root
Placing the root at 5
  There are 316 unordered parking functions
  There are 16390836 ordered parking functions
  There are 1057 ways to send one excess car out the root
Placing the root at 6
  There are 525 unordered parking functions
  There are 24378480 ordered parking functions
  There are 1602 ways to send one excess car out the root
Placing the root at 7
  There are 1489 unordered parking functions
  There are 49050528 ordered parking functions
  There are 3889 ways to send one excess car out the root
Placing the root at 8
  There are 748 unordered parking functions
  There are 28559706 ordered parking functions
  There are 2202 ways to send one excess car out the root

Placing the root at 1
  There are 166 unordered parking functions
  There are 11166120 ordered parking functions
  There are 600 ways to send one excess car out the root
Placing the root at 2
  There are 303 unordered parking functions
  There are 17737272 ordered parking functions
  There are 965 ways to send one excess car out the root
Placing the root at 3
  There are 903 unordered parking functions
  There are 36905904 ordered parking functions
  There are 2437 ways to send one excess car out the root
Placing the root at 4
  There are 572 unordered parking functions
  There are 25882668 ordered parking functions
  There are 1669 ways to send one excess car out the root
Placing the root at 5
  There are 145 unordered parking functions
  There are 10226664 ordered parking functions
  There are 545 ways to send one excess car out the root
Placing the root at 6
  There are 522 unordered parking functions
  There are 24394860 ordered parking functions
  There are 1559 ways to send one excess car out the root
Placing the root at 0
  There are 162 unordered parking functions
  There are 10871280 ordered parking functions
  There are 582 ways to send one excess car out the root

Placing the root at 1
  There are 146 unordered parking functions
  There are 10090080 ordered parking functions
  There are 539 ways to send one excess car out the root
Placing the root at 2
  There are 273 unordered parking functions
  There are 16333128 ordered parking functions
  There are 882 ways to send one excess car out the root
Placing the root at 3
  There are 827 unordered parking functions
  There are 34399512 ordered parking functions
  There are 2258 ways to send one excess car out the root
Placing the root at 4
  There are 515 unordered parking functions
  There are 23811732 ordered parking functions
  There are 1527 ways to send one excess car out the root
Placing the root at 5
  There are 173 unordered parking functions
  There are 11673144 ordered parking functions
  There are 615 ways to send one excess car out the root
Placing the root at 6
  There are 585 unordered parking functions
  There are 26616240 ordered parking functions
  There are 1692 ways to send one excess car out the root
Placing the root at 0
  There are 132 unordered parking functions
  There are 9296280 ordered parking functions
  There are 499 ways to send one excess car out the root
Placing the root at 8
  There are 478 unordered parking functions
  There are 22387428 ordered parking functions
  There are 1440 ways to send one excess car out the root

Placing the root at 1
  There are 194 unordered parking functions
  There are 11408040 ordered parking functions
  There are 713 ways to send one excess car out the root
Placing the root at 2
  There are 361 unordered parking functions
  There are 18442872 ordered parking functions
  There are 1161 ways to send one excess car out the root
Placing the root at 3
  There are 1088 unordered parking functions
  There are 38777046 ordered parking functions
  There are 2956 ways to send one excess car out the root
Placing the root at 4
  There are 681 unordered parking functions
  There are 26887308 ordered parking functions
  There are 2009 ways to send one excess car out the root
Placing the root at 5
  There are 337 unordered parking functions
  There are 17372376 ordered parking functions
  There are 1099 ways to send one excess car out the root
Placing the root at 6
  There are 1032 unordered parking functions
  There are 36995154 ordered parking functions
  There are 2832 ways to send one excess car out the root
Placing the root at 0
  There are 176 unordered parking functions
  There are 10497060 ordered parking functions
  There are 663 ways to send one excess car out the root

Placing the root at 1
  There are 113 unordered parking functions
  There are 8477280 ordered parking functions
  There are 429 ways to send one excess car out the root
Placing the root at 2
  There are 218 unordered parking functions
  There are 14034384 ordered parking functions
  There are 719 ways to send one excess car out the root
Placing the root at 3
  There are 676 unordered parking functions
  There are 30026556 ordered parking functions
  There are 1879 ways to send one excess car out the root
Placing the root at 4
  There are 411 unordered parking functions
  There are 20441736 ordered parking functions
  There are 1247 ways to send one excess car out the root
Placing the root at 5
  There are 194 unordered parking functions
  There are 12809664 ordered parking functions
  There are 657 ways to send one excess car out the root
Placing the root at 6
  There are 620 unordered parking functions
  There are 28011060 ordered parking functions
  There are 1755 ways to send one excess car out the root
Placing the root at 7
  There are 365 unordered parking functions
  There are 18612216 ordered parking functions
  There are 1141 ways to send one excess car out the root
Placing the root at 0
  There are 95 unordered parking functions
  There are 7411320 ordered parking functions
  There are 379 ways to send one excess car out the root

Placing the root at 1
  There are 451 unordered parking functions
  There are 19350744 ordered parking functions
  There are 1499 ways to send one excess car out the root
Placing the root at 2
  There are 744 unordered parking functions
  There are 28726362 ordered parking functions
  There are 2255 ways to send one excess car out the root
Placing the root at 3
  There are 2094 unordered parking functions
  There are 57638430 ordered parking functions
  There are 5429 ways to send one excess car out the root
Placing the root at 0
  There are 305 unordered parking functions
  There are 14259840 ordered parking functions
  There are 1117 ways to send one excess car out the root
Placing the root at 7
  There are 566 unordered parking functions
  There are 23125158 ordered parking functions
  There are 1805 ways to send one excess car out the root
Placing the root at 8
  There are 1690 unordered parking functions
  There are 48495258 ordered parking functions
  There are 4543 ways to send one excess car out the root

Placing the root at 1
  There are 262 unordered parking functions
  There are 14345856 ordered parking functions
  There are 903 ways to send one excess car out the root
Placing the root at 2
  There are 451 unordered parking functions
  There are 21875364 ordered parking functions
  There are 1404 ways to send one excess car out the root
Placing the root at 3
  There are 1309 unordered parking functions
  There are 44710332 ordered parking functions
  There are 3475 ways to send one excess car out the root
Placing the root at 7
  There are 616 unordered parking functions
  There are 24845478 ordered parking functions
  There are 1880 ways to send one excess car out the root
Placing the root at 0
  There are 165 unordered parking functions
  There are 10080000 ordered parking functions
  There are 641 ways to send one excess car out the root

Placing the root at 1
  There are 210 unordered parking functions
  There are 13497120 ordered parking functions
  There are 705 ways to send one excess car out the root
Placing the root at 2
  There are 350 unordered parking functions
  There are 20038536 ordered parking functions
  There are 1076 ways to send one excess car out the root
Placing the root at 3
  There are 1001 unordered parking functions
  There are 40416264 ordered parking functions
  There are 2639 ways to send one excess car out the root
Placing the root at 4
  There are 98 unordered parking functions
  There are 7699104 ordered parking functions
  There are 398 ways to send one excess car out the root
Placing the root at 5
  There are 384 unordered parking functions
  There are 19546884 ordered parking functions
  There are 1211 ways to send one excess car out the root
Placing the root at 0
  There are 145 unordered parking functions
  There are 10185840 ordered parking functions
  There are 525 ways to send one excess car out the root

Placing the root at 1
  There are 194 unordered parking functions
  There are 12602520 ordered parking functions
  There are 664 ways to send one excess car out the root
Placing the root at 2
  There are 331 unordered parking functions
  There are 19060272 ordered parking functions
  There are 1029 ways to send one excess car out the root
Placing the root at 3
  There are 959 unordered parking functions
  There are 38841264 ordered parking functions
  There are 2549 ways to send one excess car out the root
Placing the root at 4
  There are 123 unordered parking functions
  There are 9069984 ordered parking functions
  There are 473 ways to send one excess car out the root
Placing the root at 5
  There are 454 unordered parking functions
  There are 22046724 ordered parking functions
  There are 1381 ways to send one excess car out the root
Placing the root at 0
  There are 126 unordered parking functions
  There are 9079560 ordered parking functions
  There are 478 ways to send one excess car out the root
Placing the root at 8
  There are 458 unordered parking functions
  There are 21907620 ordered parking functions
  There are 1385 ways to send one excess car out the root

Placing the root at 1
  There are 289 unordered parking functions
  There are 15200640 ordered parking functions
  There are 980 ways to send one excess car out the root
Placing the root at 2
  There are 488 unordered parking functions
  There are 22905540 ordered parking functions
  There are 1503 ways to send one excess car out the root
Placing the root at 3
  There are 1399 unordered parking functions
  There are 46478796 ordered parking functions
  There are 3682 ways to send one excess car out the root
Placing the root at 4
  There are 247 unordered parking functions
  There are 13781376 ordered parking functions
  There are 873 ways to send one excess car out the root
Placing the root at 5
  There are 830 unordered parking functions
  There are 31369002 ordered parking functions
  There are 2384 ways to send one excess car out the root
Placing the root at 0
  There are 189 unordered parking functions
  There are 10951920 ordered parking functions
  There are 712 ways to send one excess car out the root
Placing the root at 7
  There are 362 unordered parking functions
  There are 18141228 ordered parking functions
  There are 1179 ways to send one excess car out the root
Placing the root at 8
  There are 1107 unordered parking functions
  There are 38614884 ordered parking functions
  There are 3032 ways to send one excess car out the root

Placing the root at 1
  There are 167 unordered parking functions
  There are 11239200 ordered parking functions
  There are 587 ways to send one excess car out the root
Placing the root at 2
  There are 294 unordered parking functions
  There are 17391528 ordered parking functions
  There are 930 ways to send one excess car out the root
Placing the root at 3
  There are 869 unordered parking functions
  There are 35947800 ordered parking functions
  There are 2342 ways to send one excess car out the root
Placing the root at 4
  There are 143 unordered parking functions
  There are 10198944 ordered parking functions
  There are 523 ways to send one excess car out the root
Placing the root at 5
  There are 499 unordered parking functions
  There are 23780484 ordered parking functions
  There are 1476 ways to send one excess car out the root
Placing the root at 7
  There are 392 unordered parking functions
  There are 19431468 ordered parking functions
  There are 1224 ways to send one excess car out the root
Placing the root at 0
  There are 102 unordered parking functions
  There are 7731360 ordered parking functions
  There are 407 ways to send one excess car out the root

Placing the root at 1
  There are 222 unordered parking functions
  There are 12700800 ordered parking functions
  There are 777 ways to send one excess car out the root
Placing the root at 2
  There are 389 unordered parking functions
  There are 19633572 ordered parking functions
  There are 1225 ways to send one excess car out the root
Placing the root at 3
  There are 1144 unordered parking functions
  There are 40518870 ordered parking functions
  There are 3068 ways to send one excess car out the root
Placing the root at 4
  There are 277 unordered parking functions
  There are 15111936 ordered parking functions
  There are 933 ways to send one excess car out the root
Placing the root at 5
  There are 880 unordered parking functions
  There are 33001962 ordered parking functions
  There are 2474 ways to send one excess car out the root
Placing the root at 0
  There are 136 unordered parking functions
  There are 8728020 ordered parking functions
  There are 541 ways to send one excess car out the root
Placing the root at 8
  There are 521 unordered parking functions
  There are 21951384 ordered parking functions
  There are 1619 ways to send one excess car out the root

Placing the root at 1
  There are 127 unordered parking functions
  There are 9339120 ordered parking functions
  There are 461 ways to send one excess car out the root
Placing the root at 2
  There are 232 unordered parking functions
  There are 14828184 ordered parking functions
  There are 751 ways to send one excess car out the root
Placing the root at 3
  There are 704 unordered parking functions
  There are 31187772 ordered parking functions
  There are 1935 ways to send one excess car out the root
Placing the root at 4
  There are 158 unordered parking functions
  There are 11085984 ordered parking functions
  There are 553 ways to send one excess car out the root
Placing the root at 5
  There are 524 unordered parking functions
  There are 24869124 ordered parking functions
  There are 1521 ways to send one excess car out the root
Placing the root at 6
  There are 297 unordered parking functions
  There are 16079616 ordered parking functions
  There are 963 ways to send one excess car out the root
Placing the root at 0
  There are 73 unordered parking functions
  There are 6141240 ordered parking functions
  There are 307 ways to send one excess car out the root

Placing the root at 1
  There are 39 unordered parking functions
  There are 4309200 ordered parking functions
  There are 173 ways to send one excess car out the root
Placing the root at 2
  There are 168 unordered parking functions
  There are 11731104 ordered parking functions
  There are 568 ways to send one excess car out the root
Placing the root at 0
  There are 72 unordered parking functions
  There are 6834240 ordered parking functions
  There are 271 ways to send one excess car out the root
Placing the root at 7
  There are 137 unordered parking functions
  There are 11143440 ordered parking functions
  There are 456 ways to send one excess car out the root
Placing the root at 8
  There are 429 unordered parking functions
  There are 23892120 ordered parking functions
  There are 1209 ways to send one excess car out the root

Placing the root at 1
  There are 64 unordered parking functions
  There are 6108480 ordered parking functions
  There are 264 ways to send one excess car out the root
Placing the root at 2
  There are 255 unordered parking functions
  There are 15688008 ordered parking functions
  There are 816 ways to send one excess car out the root
Placing the root at 6
  There are 115 unordered parking functions
  There are 9616320 ordered parking functions
  There are 410 ways to send one excess car out the root
Placing the root at 7
  There are 390 unordered parking functions
  There are 21893256 ordered parking functions
  There are 1136 ways to send one excess car out the root
Placing the root at 0
  There are 90 unordered parking functions
  There are 7832160 ordered parking functions
  There are 335 ways to send one excess car out the root

Placing the root at 1
  There are 51 unordered parking functions
  There are 5216400 ordered parking functions
  There are 215 ways to send one excess car out the root
Placing the root at 2
  There are 208 unordered parking functions
  There are 13636224 ordered parking functions
  There are 678 ways to send one excess car out the root
Placing the root at 0
  There are 65 unordered parking functions
  There are 6259680 ordered parking functions
  There are 255 ways to send one excess car out the root
Placing the root at 6
  There are 130 unordered parking functions
  There are 10614240 ordered parking functions
  There are 440 ways to send one excess car out the root
Placing the root at 7
  There are 415 unordered parking functions
  There are 23117976 ordered parking functions
  There are 1181 ways to send one excess car out the root
Placing the root at 8
  There are 245 unordered parking functions
  There are 15447600 ordered parking functions
  There are 765 ways to send one excess car out the root

Placing the root at 1
  There are 90 unordered parking functions
  There are 7907760 ordered parking functions
  There are 345 ways to send one excess car out the root
Placing the root at 2
  There are 331 unordered parking functions
  There are 19128312 ordered parking functions
  There are 1007 ways to send one excess car out the root
Placing the root at 0
  There are 96 unordered parking functions
  There are 8164800 ordered parking functions
  There are 356 ways to send one excess car out the root

Placing the root at 1
  There are 79 unordered parking functions
  There are 7136640 ordered parking functions
  There are 309 ways to send one excess car out the root
Placing the root at 2
  There are 297 unordered parking functions
  There are 17562888 ordered parking functions
  There are 918 ways to send one excess car out the root
Placing the root at 5
  There are 106 unordered parking functions
  There are 8966160 ordered parking functions
  There are 385 ways to send one excess car out the root
Placing the root at 6
  There are 367 unordered parking functions
  There are 20753712 ordered parking functions
  There are 1083 ways to send one excess car out the root
Placing the root at 0
  There are 78 unordered parking functions
  There are 6970320 ordered parking functions
  There are 304 ways to send one excess car out the root
Placing the root at 8
  There are 292 unordered parking functions
  There are 17153640 ordered parking functions
  There are 903 ways to send one excess car out the root

Placing the root at 1
  There are 105 unordered parking functions
  There are 8069040 ordered parking functions
  There are 409 ways to send one excess car out the root
Placing the root at 2
  There are 393 unordered parking functions
  There are 19833912 ordered parking functions
  There are 1209 ways to send one excess car out the root
Placing the root at 5
  There are 206 unordered parking functions
  There are 13320720 ordered parking functions
  There are 688 ways to send one excess car out the root
Placing the root at 6
  There are 648 unordered parking functions
  There are 28838628 ordered parking functions
  There are 1817 ways to send one excess car out the root
Placing the root at 0
  There are 104 unordered parking functions
  There are 7869960 ordered parking functions
  There are 404 ways to send one excess car out the root

Placing the root at 1
  There are 61 unordered parking functions
  There are 5987520 ordered parking functions
  There are 245 ways to send one excess car out the root
Placing the root at 2
  There are 236 unordered parking functions
  There are 15042384 ordered parking functions
  There are 746 ways to send one excess car out the root
Placing the root at 5
  There are 118 unordered parking functions
  There are 9797760 ordered parking functions
  There are 409 ways to send one excess car out the root
Placing the root at 6
  There are 387 unordered parking functions
  There are 21774312 ordered parking functions
  There are 1119 ways to send one excess car out the root
Placing the root at 7
  There are 222 unordered parking functions
  There are 14227920 ordered parking functions
  There are 712 ways to send one excess car out the root
Placing the root at 0
  There are 56 unordered parking functions
  There are 5549040 ordered parking functions
  There are 230 ways to send one excess car out the root

Placing the root at 1
  There are 35 unordered parking functions
  There are 4415040 ordered parking functions
  There are 145 ways to send one excess car out the root
Placing the root at 2
  There are 140 unordered parking functions
  There are 11340000 ordered parking functions
  There are 455 ways to send one excess car out the root
Placing the root at 5
  There are 126 unordered parking functions
  There are 10402560 ordered parking functions
  There are 421 ways to send one excess car out the root
Placing the root at 0
  There are 30 unordered parking functions
  There are 3900960 ordered parking functions
  There are 130 ways to send one excess car out the root

Placing the root at 1
  There are 158 unordered parking functions
  There are 10815840 ordered parking functions
  There are 569 ways to send one excess car out the root
Placing the root at 2
  There are 542 unordered parking functions
  There are 24951780 ordered parking functions
  There are 1584 ways to send one excess car out the root
Placing the root at 0
  There are 117 unordered parking functions
  There are 8406720 ordered parking functions
  There are 453 ways to send one excess car out the root
Placing the root at 7
  There are 231 unordered parking functions
  There are 14215320 ordered parking functions
  There are 768 ways to send one excess car out the root
Placing the root at 8
  There are 723 unordered parking functions
  There are 30705192 ordered parking functions
  There are 2017 ways to send one excess car out the root

Placing the root at 1
  There are 91 unordered parking functions
  There are 7983360 ordered parking functions
  There are 339 ways to send one excess car out the root
Placing the root at 2
  There are 324 unordered parking functions
  There are 18863208 ordered parking functions
  There are 975 ways to send one excess car out the root
Placing the root at 7
  There are 249 unordered parking functions
  There are 15183000 ordered parking functions
  There are 795 ways to send one excess car out the root
Placing the root at 0
  There are 63 unordered parking functions
  There are 5927040 ordered parking functions
  There are 258 ways to send one excess car out the root

Placing the root at 1
  There are 121 unordered parking functions
  There are 9021600 ordered parking functions
  There are 449 ways to send one excess car out the root
Placing the root at 2
  There are 429 unordered parking functions
  There are 21296772 ordered parking functions
  There are 1285 ways to send one excess car out the root
Placing the root at 4
  There are 176 unordered parking functions
  There are 11813760 ordered parking functions
  There are 605 ways to send one excess car out the root
Placing the root at 5
  There are 572 unordered parking functions
  There are 26176500 ordered parking functions
  There are 1638 ways to send one excess car out the root
Placing the root at 0
  There are 84 unordered parking functions
  There are 6690600 ordered parking functions
  There are 343 ways to send one excess car out the root
Placing the root at 8
  There are 331 unordered parking functions
  There are 17151120 ordered parking functions
  There are 1052 ways to send one excess car out the root

Placing the root at 1
  There are 69 unordered parking functions
  There are 6622560 ordered parking functions
  There are 265 ways to send one excess car out the root
Placing the root at 2
  There are 254 unordered parking functions
  There are 16017624 ordered parking functions
  There are 784 ways to send one excess car out the root
Placing the root at 4
  There are 100 unordered parking functions
  There are 8648640 ordered parking functions
  There are 357 ways to send one excess car out the root
Placing the root at 5
  There are 339 unordered parking functions
  There are 19679688 ordered parking functions
  There are 1002 ways to send one excess car out the root
Placing the root at 6
  There are 188 unordered parking functions
  There are 12539520 ordered parking functions
  There are 623 ways to send one excess car out the root
Placing the root at 0
  There are 45 unordered parking functions
  There are 4702320 ordered parking functions
  There are 194 ways to send one excess car out the root

Placing the root at 1
  There are 39 unordered parking functions
  There are 4838400 ordered parking functions
  There are 155 ways to send one excess car out the root
Placing the root at 2
  There are 149 unordered parking functions
  There are 11990160 ordered parking functions
  There are 474 ways to send one excess car out the root
Placing the root at 4
  There are 106 unordered parking functions
  There are 9132480 ordered parking functions
  There are 366 ways to send one excess car out the root
Placing the root at 0
  There are 24 unordered parking functions
  There are 3296160 ordered parking functions
  There are 109 ways to send one excess car out the root

Placing the root at 1
  There are 234 unordered parking functions
  There are 13347180 ordered parking functions
  There are 801 ways to send one excess car out the root
Placing the root at 2
  There are 757 unordered parking functions
  There are 29547672 ordered parking functions
  There are 2157 ways to send one excess car out the root
Placing the root at 0
  There are 112 unordered parking functions
  There are 7552440 ordered parking functions
  There are 456 ways to send one excess car out the root

Placing the root at 1
  There are 133 unordered parking functions
  There are 9770040 ordered parking functions
  There are 473 ways to send one excess car out the root
Placing the root at 2
  There are 449 unordered parking functions
  There are 22215312 ordered parking functions
  There are 1321 ways to send one excess car out the root
Placing the root at 7
  There are 250 unordered parking functions
  There are 14163660 ordered parking functions
  There are 825 ways to send one excess car out the root
Placing the root at 0
  There are 60 unordered parking functions
  There are 5307120 ordered parking functions
  There are 258 ways to send one excess car out the root

Placing the root at 1
  There are 75 unordered parking functions
  There are 7121520 ordered parking functions
  There are 277 ways to send one excess car out the root
Placing the root at 2
  There are 264 unordered parking functions
  There are 16629984 ordered parking functions
  There are 802 ways to send one excess car out the root
Placing the root at 5
  There are 141 unordered parking functions
  There are 10314360 ordered parking functions
  There are 485 ways to send one excess car out the root
Placing the root at 0
  There are 32 unordered parking functions
  There are 3719520 ordered parking functions
  There are 145 ways to send one excess car out the root

Placing the root at 1
  There are 42 unordered parking functions
  There are 5171040 ordered parking functions
  There are 161 ways to send one excess car out the root
Placing the root at 2
  There are 154 unordered parking functions
  There are 12398400 ordered parking functions
  There are 483 ways to send one excess car out the root
Placing the root at 3
  There are 79 unordered parking functions
  There are 7484400 ordered parking functions
  There are 283 ways to send one excess car out the root
Placing the root at 0
  There are 17 unordered parking functions
  There are 2600640 ordered parking functions
  There are 81 ways to send one excess car out the root

Placing the root at 1
  There are 44 unordered parking functions
  There are 5412960 ordered parking functions
  There are 164 ways to send one excess car out the root
Placing the root at 0
  There are 9 unordered parking functions
  There are 1814400 ordered parking functions
  There are 45 ways to send one excess car out the root

Placing the root at 1
  There are 2 unordered parking functions
  There are 3 ordered parking functions
  There are 3 ways to send one excess car out the root

Placing the root at 1
  There are 5 unordered parking functions
  There are 16 ordered parking functions
  There are 9 ways to send one excess car out the root
Placing the root at 0
  There are 3 unordered parking functions
  There are 12 ordered parking functions
  There are 6 ways to send one excess car out the root

Placing the root at 1
  There are 7 unordered parking functions
  There are 82 ordered parking functions
  There are 16 ways to send one excess car out the root
Placing the root at 2
  There are 14 unordered parking functions
  There are 125 ordered parking functions
  There are 28 ways to send one excess car out the root

Placing the root at 1
  There are 9 unordered parking functions
  There are 98 ordered parking functions
  There are 19 ways to send one excess car out the root
Placing the root at 0
  There are 4 unordered parking functions
  There are 60 ordered parking functions
  There are 10 ways to send one excess car out the root

Placing the root at 1
  There are 19 unordered parking functions
  There are 785 ordered parking functions
  There are 47 ways to send one excess car out the root
Placing the root at 2
  There are 42 unordered parking functions
  There are 1296 ordered parking functions
  There are 90 ways to send one excess car out the root
Placing the root at 0
  There are 16 unordered parking functions
  There are 690 ordered parking functions
  There are 41 ways to send one excess car out the root

Placing the root at 1
  There are 12 unordered parking functions
  There are 610 ordered parking functions
  There are 31 ways to send one excess car out the root
Placing the root at 2
  There are 28 unordered parking functions
  There are 1040 ordered parking functions
  There are 62 ways to send one excess car out the root
Placing the root at 3
  There are 23 unordered parking functions
  There are 905 ordered parking functions
  There are 53 ways to send one excess car out the root
Placing the root at 0
  There are 9 unordered parking functions
  There are 500 ordered parking functions
  There are 25 ways to send one excess car out the root

Placing the root at 1
  There are 14 unordered parking functions
  There are 690 ordered parking functions
  There are 34 ways to send one excess car out the root
Placing the root at 0
  There are 5 unordered parking functions
  There are 360 ordered parking functions
  There are 15 ways to send one excess car out the root

Placing the root at 1
  There are 43 unordered parking functions
  There are 7865 ordered parking functions
  There are 118 ways to send one excess car out the root
Placing the root at 2
  There are 56 unordered parking functions
  There are 9651 ordered parking functions
  There are 146 ways to send one excess car out the root
Placing the root at 3
  There are 132 unordered parking functions
  There are 16807 ordered parking functions
  There are 297 ways to send one excess car out the root

Placing the root at 1
  There are 24 unordered parking functions
  There are 5670 ordered parking functions
  There are 71 ways to send one excess car out the root
Placing the root at 2
  There are 66 unordered parking functions
  There are 10931 ordered parking functions
  There are 161 ways to send one excess car out the root
Placing the root at 0
  There are 27 unordered parking functions
  There are 6090 ordered parking functions
  There are 77 ways to send one excess car out the root
Placing the root at 4
  There are 37 unordered parking functions
  There are 7710 ordered parking functions
  There are 99 ways to send one excess car out the root
Placing the root at 5
  There are 90 unordered parking functions
  There are 13682 ordered parking functions
  There are 207 ways to send one excess car out the root

Placing the root at 1
  There are 15 unordered parking functions
  There are 4380 ordered parking functions
  There are 46 ways to send one excess car out the root
Placing the root at 2
  There are 43 unordered parking functions
  There are 8670 ordered parking functions
  There are 108 ways to send one excess car out the root

Placing the root at 1
  There are 30 unordered parking functions
  There are 6660 ordered parking functions
  There are 83 ways to send one excess car out the root
Placing the root at 2
  There are 76 unordered parking functions
  There are 12146 ordered parking functions
  There are 179 ways to send one excess car out the root
Placing the root at 0
  There are 20 unordered parking functions
  There are 4950 ordered parking functions
  There are 61 ways to send one excess car out the root
Placing the root at 5
  There are 57 unordered parking functions
  There are 9800 ordered parking functions
  There are 142 ways to send one excess car out the root

Placing the root at 1
  There are 18 unordered parking functions
  There are 5040 ordered parking functions
  There are 52 ways to send one excess car out the root
Placing the root at 2
  There are 48 unordered parking functions
  There are 9480 ordered parking functions
  There are 117 ways to send one excess car out the root
Placing the root at 3
  There are 34 unordered parking functions
  There are 7380 ordered parking functions
  There are 89 ways to send one excess car out the root
Placing the root at 0
  There are 11 unordered parking functions
  There are 3540 ordered parking functions
  There are 36 ways to send one excess car out the root

Placing the root at 1
  There are 20 unordered parking functions
  There are 5520 ordered parking functions
  There are 55 ways to send one excess car out the root
Placing the root at 0
  There are 6 unordered parking functions
  There are 2520 ordered parking functions
  There are 21 ways to send one excess car out the root

Placing the root at 1
  There are 126 unordered parking functions
  There are 112273 ordered parking functions
  There are 362 ways to send one excess car out the root
Placing the root at 2
  There are 174 unordered parking functions
  There are 144865 ordered parking functions
  There are 471 ways to send one excess car out the root
Placing the root at 3
  There are 429 unordered parking functions
  There are 262144 ordered parking functions
  There are 1001 ways to send one excess car out the root
Placing the root at 0
  There are 115 unordered parking functions
  There are 104160 ordered parking functions
  There are 336 ways to send one excess car out the root

Placing the root at 1
  There are 83 unordered parking functions
  There are 89530 ordered parking functions
  There are 244 ways to send one excess car out the root
Placing the root at 2
  There are 118 unordered parking functions
  There are 117614 ordered parking functions
  There are 325 ways to send one excess car out the root
Placing the root at 3
  There are 297 unordered parking functions
  There are 215488 ordered parking functions
  There are 704 ways to send one excess car out the root
Placing the root at 4
  There are 70 unordered parking functions
  There are 80682 ordered parking functions
  There are 216 ways to send one excess car out the root
Placing the root at 5
  There are 202 unordered parking functions
  There are 162365 ordered parking functions
  There are 513 ways to send one excess car out the root
Placing the root at 0
  There are 72 unordered parking functions
  There are 80500 ordered parking functions
  There are 218 ways to send one excess car out the root

Placing the root at 1
  There are 67 unordered parking functions
  There are 77105 ordered parking functions
  There are 203 ways to send one excess car out the root
Placing the root at 0
  There are 53 unordered parking functions
  There are 65135 ordered parking functions
  There are 171 ways to send one excess car out the root
Placing the root at 2
  There are 99 unordered parking functions
  There are 104027 ordered parking functions
  There are 278 ways to send one excess car out the root
Placing the root at 3
  There are 255 unordered parking functions
  There are 193613 ordered parking functions
  There are 614 ways to send one excess car out the root
Placing the root at 4
  There are 85 unordered parking functions
  There are 93002 ordered parking functions
  There are 246 ways to send one excess car out the root
Placing the root at 5
  There are 227 unordered parking functions
  There are 177485 ordered parking functions
  There are 558 ways to send one excess car out the root
Placing the root at 6
  There are 161 unordered parking functions
  There are 136353 ordered parking functions
  There are 422 ways to send one excess car out the root

Placing the root at 1
  There are 29 unordered parking functions
  There are 46410 ordered parking functions
  There are 100 ways to send one excess car out the root
Placing the root at 2
  There are 95 unordered parking functions
  There are 101962 ordered parking functions
  There are 261 ways to send one excess car out the root
Placing the root at 0
  There are 40 unordered parking functions
  There are 58170 ordered parking functions
  There are 126 ways to send one excess car out the root
Placing the root at 5
  There are 62 unordered parking functions
  There are 80850 ordered parking functions
  There are 179 ways to send one excess car out the root
Placing the root at 6
  There are 165 unordered parking functions
  There are 153426 ordered parking functions
  There are 407 ways to send one excess car out the root

Placing the root at 1
  There are 46 unordered parking functions
  There are 64260 ordered parking functions
  There are 145 ways to send one excess car out the root
Placing the root at 2
  There are 136 unordered parking functions
  There are 131334 ordered parking functions
  There are 352 ways to send one excess car out the root
Placing the root at 0
  There are 45 unordered parking functions
  There are 62160 ordered parking functions
  There are 141 ways to send one excess car out the root

Placing the root at 1
  There are 37 unordered parking functions
  There are 55230 ordered parking functions
  There are 120 ways to send one excess car out the root
Placing the root at 2
  There are 113 unordered parking functions
  There are 115507 ordered parking functions
  There are 299 ways to send one excess car out the root
Placing the root at 0
  There are 33 unordered parking functions
  There are 50190 ordered parking functions
  There are 110 ways to send one excess car out the root
Placing the root at 4
  There are 55 unordered parking functions
  There are 73500 ordered parking functions
  There are 163 ways to send one excess car out the root
Placing the root at 5
  There are 151 unordered parking functions
  There are 142674 ordered parking functions
  There are 379 ways to send one excess car out the root
Placing the root at 6
  There are 104 unordered parking functions
  There are 107590 ordered parking functions
  There are 280 ways to send one excess car out the root

Placing the root at 1
  There are 22 unordered parking functions
  There are 41580 ordered parking functions
  There are 74 ways to send one excess car out the root
Placing the root at 2
  There are 70 unordered parking functions
  There are 89250 ordered parking functions
  There are 191 ways to send one excess car out the root
Placing the root at 4
  There are 61 unordered parking functions
  There are 80220 ordered parking functions
  There are 172 ways to send one excess car out the root
Placing the root at 0
  There are 18 unordered parking functions
  There are 35700 ordered parking functions
  There are 64 ways to send one excess car out the root

Placing the root at 1
  There are 73 unordered parking functions
  There are 83090 ordered parking functions
  There are 215 ways to send one excess car out the root
Placing the root at 2
  There are 199 unordered parking functions
  There are 160986 ordered parking functions
  There are 496 ways to send one excess car out the root
Placing the root at 0
  There are 44 unordered parking functions
  There are 56700 ordered parking functions
  There are 146 ways to send one excess car out the root

Placing the root at 1
  There are 43 unordered parking functions
  There are 62160 ordered parking functions
  There are 132 ways to send one excess car out the root
Placing the root at 2
  There are 123 unordered parking functions
  There are 124012 ordered parking functions
  There are 317 ways to send one excess car out the root
Placing the root at 5
  There are 81 unordered parking functions
  There are 90650 ordered parking functions
  There are 227 ways to send one excess car out the root
Placing the root at 0
  There are 24 unordered parking functions
  There are 40320 ordered parking functions
  There are 85 ways to send one excess car out the root

Placing the root at 1
  There are 25 unordered parking functions
  There are 46200 ordered parking functions
  There are 80 ways to send one excess car out the root
Placing the root at 2
  There are 75 unordered parking functions
  There are 94920 ordered parking functions
  There are 200 ways to send one excess car out the root
Placing the root at 3
  There are 47 unordered parking functions
  There are 67200 ordered parking functions
  There are 138 ways to send one excess car out the root
Placing the root at 0
  There are 13 unordered parking functions
  There are 28560 ordered parking functions
  There are 49 ways to send one excess car out the root

Placing the root at 1
  There are 27 unordered parking functions
  There are 49560 ordered parking functions
  There are 83 ways to send one excess car out the root
Placing the root at 0
  There are 7 unordered parking functions
  There are 20160 ordered parking functions
  There are 28 ways to send one excess car out the root

Placing the root at 1
  There are 336 unordered parking functions
  There are 1694966 ordered parking functions
  There are 1024 ways to send one excess car out the root
Placing the root at 2
  There are 390 unordered parking functions
  There are 1919820 ordered parking functions
  There are 1158 ways to send one excess car out the root
Placing the root at 3
  There are 561 unordered parking functions
  There are 2567748 ordered parking functions
  There are 1562 ways to send one excess car out the root
Placing the root at 4
  There are 1430 unordered parking functions
  There are 4782969 ordered parking functions
  There are 3432 ways to send one excess car out the root

Placing the root at 1
  There are 210 unordered parking functions
  There are 1308412 ordered parking functions
  There are 662 ways to send one excess car out the root
Placing the root at 2
  There are 216 unordered parking functions
  There are 1376648 ordered parking functions
  There are 687 ways to send one excess car out the root
Placing the root at 3
  There are 645 unordered parking functions
  There are 2858052 ordered parking functions
  There are 1688 ways to send one excess car out the root
Placing the root at 0
  There are 221 unordered parking functions
  There are 1350300 ordered parking functions
  There are 688 ways to send one excess car out the root
Placing the root at 5
  There are 264 unordered parking functions
  There are 1556968 ordered parking functions
  There are 796 ways to send one excess car out the root
Placing the root at 6
  There are 387 unordered parking functions
  There are 2107000 ordered parking functions
  There are 1091 ways to send one excess car out the root
Placing the root at 7
  There are 1001 unordered parking functions
  There are 3959426 ordered parking functions
  There are 2431 ways to send one excess car out the root

Placing the root at 1
  There are 138 unordered parking functions
  There are 1041880 ordered parking functions
  There are 444 ways to send one excess car out the root
Placing the root at 2
  There are 146 unordered parking functions
  There are 1115632 ordered parking functions
  There are 471 ways to send one excess car out the root
Placing the root at 3
  There are 443 unordered parking functions
  There are 2339960 ordered parking functions
  There are 1175 ways to send one excess car out the root

Placing the root at 1
  There are 154 unordered parking functions
  There are 1055684 ordered parking functions
  There are 516 ways to send one excess car out the root
Placing the root at 0
  There are 178 unordered parking functions
  There are 1161020 ordered parking functions
  There are 570 ways to send one excess car out the root
Placing the root at 2
  There are 258 unordered parking functions
  There are 1569148 ordered parking functions
  There are 771 ways to send one excess car out the root
Placing the root at 3
  There are 715 unordered parking functions
  There are 3094302 ordered parking functions
  There are 1814 ways to send one excess car out the root
Placing the root at 4
  There are 488 unordered parking functions
  There are 2296070 ordered parking functions
  There are 1326 ways to send one excess car out the root
Placing the root at 5
  There are 221 unordered parking functions
  There are 1375024 ordered parking functions
  There are 678 ways to send one excess car out the root
Placing the root at 6
  There are 331 unordered parking functions
  There are 1888992 ordered parking functions
  There are 945 ways to send one excess car out the root
Placing the root at 7
  There are 869 unordered parking functions
  There are 3586178 ordered parking functions
  There are 2134 ways to send one excess car out the root

Placing the root at 1
  There are 101 unordered parking functions
  There are 839720 ordered parking functions
  There are 345 ways to send one excess car out the root
Placing the root at 2
  There are 173 unordered parking functions
  There are 1266552 ordered parking functions
  There are 525 ways to send one excess car out the root
Placing the root at 3
  There are 488 unordered parking functions
  There are 2525180 ordered parking functions
  There are 1256 ways to send one excess car out the root
Placing the root at 4
  There are 327 unordered parking functions
  There are 1851948 ordered parking functions
  There are 904 ways to send one excess car out the root
Placing the root at 5
  There are 122 unordered parking functions
  There are 984256 ordered parking functions
  There are 400 ways to send one excess car out the root
Placing the root at 6
  There are 377 unordered parking functions
  There are 2091712 ordered parking functions
  There are 1014 ways to send one excess car out the root
Placing the root at 0
  There are 111 unordered parking functions
  There are 895160 ordered parking functions
  There are 367 ways to send one excess car out the root

Placing the root at 1
  There are 81 unordered parking functions
  There are 720160 ordered parking functions
  There are 284 ways to send one excess car out the root
Placing the root at 2
  There are 143 unordered parking functions
  There are 1110536 ordered parking functions
  There are 442 ways to send one excess car out the root
Placing the root at 3
  There are 412 unordered parking functions
  There are 2246692 ordered parking functions
  There are 1077 ways to send one excess car out the root
Placing the root at 4
  There are 270 unordered parking functions
  There are 1621844 ordered parking functions
  There are 762 ways to send one excess car out the root

Placing the root at 1
  There are 189 unordered parking functions
  There are 1225924 ordered parking functions
  There are 596 ways to send one excess car out the root
Placing the root at 2
  There are 293 unordered parking functions
  There are 1725948 ordered parking functions
  There are 851 ways to send one excess car out the root
Placing the root at 3
  There are 785 unordered parking functions
  There are 3323678 ordered parking functions
  There are 1954 ways to send one excess car out the root
Placing the root at 0
  There are 140 unordered parking functions
  There are 976640 ordered parking functions
  There are 476 ways to send one excess car out the root
Placing the root at 7
  There are 451 unordered parking functions
  There are 2152822 ordered parking functions
  There are 1239 ways to send one excess car out the root

Placing the root at 1
  There are 138 unordered parking functions
  There are 1066800 ordered parking functions
  There are 434 ways to send one excess car out the root
Placing the root at 2
  There are 213 unordered parking functions
  There are 1492848 ordered parking functions
  There are 620 ways to send one excess car out the root
Placing the root at 3
  There are 572 unordered parking functions
  There are 2872212 ordered parking functions
  There are 1430 ways to send one excess car out the root
Placing the root at 4
  There are 84 unordered parking functions
  There are 750456 ordered parking functions
  There are 300 ways to send one excess car out the root
Placing the root at 5
  There are 286 unordered parking functions
  There are 1709148 ordered parking functions
  There are 813 ways to send one excess car out the root
Placing the root at 0
  There are 106 unordered parking functions
  There are 874440 ordered parking functions
  There are 352 ways to send one excess car out the root

Placing the root at 1
  There are 122 unordered parking functions
  There are 967400 ordered parking functions
  There are 393 ways to send one excess car out the root
Placing the root at 2
  There are 194 unordered parking functions
  There are 1384152 ordered parking functions
  There are 573 ways to send one excess car out the root
Placing the root at 3
  There are 530 unordered parking functions
  There are 2697212 ordered parking functions
  There are 1340 ways to send one excess car out the root
Placing the root at 4
  There are 104 unordered parking functions
  There are 875896 ordered parking functions
  There are 350 ways to send one excess car out the root
Placing the root at 5
  There are 331 unordered parking functions
  There are 1901788 ordered parking functions
  There are 908 ways to send one excess car out the root
Placing the root at 0
  There are 87 unordered parking functions
  There are 751520 ordered parking functions
  There are 305 ways to send one excess car out the root
Placing the root at 7
  There are 290 unordered parking functions
  There are 1693692 ordered parking functions
  There are 817 ways to send one excess car out the root

Placing the root at 1
  There are 162 unordered parking functions
  There are 1093680 ordered parking functions
  There are 519 ways to send one excess car out the root
Placing the root at 2
  There are 256 unordered parking functions
  There are 1562288 ordered parking functions
  There are 752 ways to send one excess car out the root
Placing the root at 3
  There are 695 unordered parking functions
  There are 3037930 ordered parking functions
  There are 1747 ways to send one excess car out the root
Placing the root at 4
  There are 204 unordered parking functions
  There are 1311044 ordered parking functions
  There are 626 ways to send one excess car out the root
Placing the root at 5
  There are 583 unordered parking functions
  There are 2646406 ordered parking functions
  There are 1511 ways to send one excess car out the root
Placing the root at 0
  There are 116 unordered parking functions
  There are 848820 ordered parking functions
  There are 405 ways to send one excess car out the root

Placing the root at 1
  There are 95 unordered parking functions
  There are 815920 ordered parking functions
  There are 316 ways to send one excess car out the root
Placing the root at 2
  There are 157 unordered parking functions
  There are 1198736 ordered parking functions
  There are 474 ways to send one excess car out the root
Placing the root at 3
  There are 440 unordered parking functions
  There are 2375716 ordered parking functions
  There are 1133 ways to send one excess car out the root
Placing the root at 4
  There are 119 unordered parking functions
  There are 974456 ordered parking functions
  There are 380 ways to send one excess car out the root
Placing the root at 5
  There are 356 unordered parking functions
  There are 2022748 ordered parking functions
  There are 953 ways to send one excess car out the root
Placing the root at 6
  There are 224 unordered parking functions
  There are 1418564 ordered parking functions
  There are 656 ways to send one excess car out the root
Placing the root at 0
  There are 63 unordered parking functions
  There are 601720 ordered parking functions
  There are 234 ways to send one excess car out the root

Placing the root at 1
  There are 34 unordered parking functions
  There are 425040 ordered parking functions
  There are 134 ways to send one excess car out the root
Placing the root at 2
  There are 129 unordered parking functions
  There are 1046136 ordered parking functions
  There are 395 ways to send one excess car out the root
Placing the root at 0
  There are 55 unordered parking functions
  There are 604800 ordered parking functions
  There are 190 ways to send one excess car out the root
Placing the root at 6
  There are 95 unordered parking functions
  There are 913920 ordered parking functions
  There are 295 ways to send one excess car out the root
Placing the root at 7
  There are 275 unordered parking functions
  There are 1846824 ordered parking functions
  There are 726 ways to send one excess car out the root

Placing the root at 1
  There are 55 unordered parking functions
  There are 596400 ordered parking functions
  There are 200 ways to send one excess car out the root
Placing the root at 2
  There are 191 unordered parking functions
  There are 1376312 ordered parking functions
  There are 552 ways to send one excess car out the root
Placing the root at 5
  There are 76 unordered parking functions
  There are 762720 ordered parking functions
  There are 255 ways to send one excess car out the root
Placing the root at 6
  There are 241 unordered parking functions
  There are 1647408 ordered parking functions
  There are 662 ways to send one excess car out the root
Placing the root at 0
  There are 66 unordered parking functions
  There are 673680 ordered parking functions
  There are 226 ways to send one excess car out the root

Placing the root at 1
  There are 44 unordered parking functions
  There are 510720 ordered parking functions
  There are 164 ways to send one excess car out the root
Placing the root at 2
  There are 157 unordered parking functions
  There are 1202376 ordered parking functions
  There are 463 ways to send one excess car out the root
Placing the root at 0
  There are 48 unordered parking functions
  There are 540960 ordered parking functions
  There are 174 ways to send one excess car out the root
Placing the root at 5
  There are 88 unordered parking functions
  There are 855120 ordered parking functions
  There are 279 ways to send one excess car out the root
Placing the root at 6
  There are 261 unordered parking functions
  There are 1760808 ordered parking functions
  There are 698 ways to send one excess car out the root
Placing the root at 7
  There are 166 unordered parking functions
  There are 1247400 ordered parking functions
  There are 482 ways to send one excess car out the root

Placing the root at 1
  There are 26 unordered parking functions
  There are 383040 ordered parking functions
  There are 100 ways to send one excess car out the root
Placing the root at 2
  There are 96 unordered parking functions
  There are 922320 ordered parking functions
  There are 291 ways to send one excess car out the root

Placing the root at 1
  There are 67 unordered parking functions
  There are 690480 ordered parking functions
  There are 230 ways to send one excess car out the root
Placing the root at 2
  There are 218 unordered parking functions
  There are 1520792 ordered parking functions
  There are 609 ways to send one excess car out the root
Placing the root at 0
  There are 54 unordered parking functions
  There are 577920 ordered parking functions
  There are 195 ways to send one excess car out the root
Placing the root at 7
  There are 186 unordered parking functions
  There are 1330840 ordered parking functions
  There are 537 ways to send one excess car out the root

Placing the root at 1
  There are 89 unordered parking functions
  There are 780640 ordered parking functions
  There are 304 ways to send one excess car out the root
Placing the root at 2
  There are 288 unordered parking functions
  There are 1716848 ordered parking functions
  There are 800 ways to send one excess car out the root
Placing the root at 4
  There are 131 unordered parking functions
  There are 1031240 ordered parking functions
  There are 411 ways to send one excess car out the root
Placing the root at 5
  There are 384 unordered parking functions
  There are 2114700 ordered parking functions
  There are 1015 ways to send one excess car out the root
Placing the root at 0
  There are 72 unordered parking functions
  There are 652680 ordered parking functions
  There are 259 ways to send one excess car out the root

Placing the root at 1
  There are 52 unordered parking functions
  There are 581280 ordered parking functions
  There are 184 ways to send one excess car out the root
Placing the root at 2
  There are 175 unordered parking functions
  There are 1310736 ordered parking functions
  There are 501 ways to send one excess car out the root
Placing the root at 4
  There are 76 unordered parking functions
  There are 764400 ordered parking functions
  There are 248 ways to send one excess car out the root
Placing the root at 5
  There are 233 unordered parking functions
  There are 1611512 ordered parking functions
  There are 636 ways to send one excess car out the root
Placing the root at 6
  There are 143 unordered parking functions
  There are 1111880 ordered parking functions
  There are 429 ways to send one excess car out the root
Placing the root at 0
  There are 39 unordered parking functions
  There are 462000 ordered parking functions
  There are 149 ways to send one excess car out the root

Placing the root at 1
  There are 30 unordered parking functions
  There are 430080 ordered parking functions
  There are 110 ways to send one excess car out the root
Placing the root at 2
  There are 105 unordered parking functions
  There are 994560 ordered parking functions
  There are 310 ways to send one excess car out the root
Placing the root at 4
  There are 82 unordered parking functions
  There are 818160 ordered parking functions
  There are 257 ways to send one excess car out the root
Placing the root at 0
  There are 21 unordered parking functions
  There are 325920 ordered parking functions
  There are 85 ways to send one excess car out the root

Placing the root at 1
  There are 101 unordered parking functions
  There are 863800 ordered parking functions
  There are 328 ways to send one excess car out the root
Placing the root at 2
  There are 308 unordered parking functions
  There are 1818908 ordered parking functions
  There are 836 ways to send one excess car out the root
Placing the root at 0
  There are 52 unordered parking functions
  There are 521640 ordered parking functions
  There are 198 ways to send one excess car out the root
Placing the root at 7
  There are 190 unordered parking functions
  There are 1256220 ordered parking functions
  There are 567 ways to send one excess car out the root

Placing the root at 1
  There are 58 unordered parking functions
  There are 636720 ordered parking functions
  There are 196 ways to send one excess car out the root
Placing the root at 2
  There are 185 unordered parking functions
  There are 1378776 ordered parking functions
  There are 519 ways to send one excess car out the root
Placing the root at 5
  There are 109 unordered parking functions
  There are 924280 ordered parking functions
  There are 340 ways to send one excess car out the root
Placing the root at 0
  There are 28 unordered parking functions
  There are 367920 ordered parking functions
  There are 113 ways to send one excess car out the root

Placing the root at 1
  There are 33 unordered parking functions
  There are 467040 ordered parking functions
  There are 116 ways to send one excess car out the root
Placing the root at 2
  There are 110 unordered parking functions
  There are 1039920 ordered parking functions
  There are 319 ways to send one excess car out the root
Placing the root at 3
  There are 62 unordered parking functions
  There are 677040 ordered parking functions
  There are 202 ways to send one excess car out the root
Placing the root at 0
  There are 15 unordered parking functions
  There are 258720 ordered parking functions
  There are 64 ways to send one excess car out the root

Placing the root at 1
  There are 35 unordered parking functions
  There are 493920 ordered parking functions
  There are 119 ways to send one excess car out the root
Placing the root at 0
  There are 8 unordered parking functions
  There are 181440 ordered parking functions
  There are 36 ways to send one excess car out the root

Placing the root at 1
  There are 1038 unordered parking functions
  There are 32549664 ordered parking functions
  There are 3261 ways to send one excess car out the root
Placing the root at 2
  There are 1254 unordered parking functions
  There are 38194068 ordered parking functions
  There are 3817 ways to send one excess car out the root
Placing the root at 3
  There are 1859 unordered parking functions
  There are 52483905 ordered parking functions
  There are 5291 ways to send one excess car out the root
Placing the root at 4
  There are 4862 unordered parking functions
  There are 100000000 ordered parking functions
  There are 11934 ways to send one excess car out the root
Placing the root at 0
  There are 980 unordered parking functions
  There are 30980250 ordered parking functions
  There are 3108 ways to send one excess car out the root

Placing the root at 1
  There are 702 unordered parking functions
  There are 26382048 ordered parking functions
  There are 2237 ways to send one excess car out the root
Placing the root at 2
  There are 864 unordered parking functions
  There are 31317720 ordered parking functions
  There are 2659 ways to send one excess car out the root
Placing the root at 3
  There are 1298 unordered parking functions
  There are 43392402 ordered parking functions
  There are 3729 ways to send one excess car out the root
Placing the root at 4
  There are 3432 unordered parking functions
  There are 83222784 ordered parking functions
  There are 8502 ways to send one excess car out the root
Placing the root at 5
  There are 648 unordered parking functions
  There are 25106256 ordered parking functions
  There are 2103 ways to send one excess car out the root
Placing the root at 6
  There are 693 unordered parking functions
  There are 27345096 ordered parking functions
  There are 2255 ways to send one excess car out the root
Placing the root at 7
  There are 2123 unordered parking functions
  There are 58131057 ordered parking functions
  There are 5687 ways to send one excess car out the root
Placing the root at 0
  There are 644 unordered parking functions
  There are 24665508 ordered parking functions
  There are 2084 ways to send one excess car out the root

Placing the root at 1
  There are 587 unordered parking functions
  There are 23280054 ordered parking functions
  There are 1901 ways to send one excess car out the root
Placing the root at 0
  There are 518 unordered parking functions
  There are 21186522 ordered parking functions
  There are 1722 ways to send one excess car out the root
Placing the root at 2
  There are 738 unordered parking functions
  There are 28052052 ordered parking functions
  There are 2297 ways to send one excess car out the root
Placing the root at 3
  There are 1124 unordered parking functions
  There are 39245670 ordered parking functions
  There are 3258 ways to send one excess car out the root
Placing the root at 4
  There are 3003 unordered parking functions
  There are 75810897 ordered parking functions
  There are 7501 ways to send one excess car out the root
Placing the root at 5
  There are 474 unordered parking functions
  There are 20217708 ordered parking functions
  There are 1632 ways to send one excess car out the root
Placing the root at 6
  There are 819 unordered parking functions
  There are 30937608 ordered parking functions
  There are 2507 ways to send one excess car out the root
Placing the root at 7
  There are 2333 unordered parking functions
  There are 62540049 ordered parking functions
  There are 6065 ways to send one excess car out the root
Placing the root at 8
  There are 1548 unordered parking functions
  There are 45215796 ordered parking functions
  There are 4321 ways to send one excess car out the root

Placing the root at 1
  There are 501 unordered parking functions
  There are 20724774 ordered parking functions
  There are 1665 ways to send one excess car out the root
Placing the root at 0
  There are 406 unordered parking functions
  There are 17774694 ordered parking functions
  There are 1430 ways to send one excess car out the root
Placing the root at 2
  There are 652 unordered parking functions
  There are 25595808 ordered parking functions
  There are 2061 ways to send one excess car out the root
Placing the root at 3
  There are 1012 unordered parking functions
  There are 36302562 ordered parking functions
  There are 2966 ways to send one excess car out the root
Placing the root at 4
  There are 2739 unordered parking functions
  There are 70772049 ordered parking functions
  There are 6907 ways to send one excess car out the root
Placing the root at 5
  There are 572 unordered parking functions
  There are 23210208 ordered parking functions
  There are 1856 ways to send one excess car out the root
Placing the root at 6
  There are 917 unordered parking functions
  There are 33693858 ordered parking functions
  There are 2731 ways to send one excess car out the root
Placing the root at 7
  There are 2529 unordered parking functions
  There are 66572049 ordered parking functions
  There are 6457 ways to send one excess car out the root
Placing the root at 8
  There are 1360 unordered parking functions
  There are 40597914 ordered parking functions
  There are 3863 ways to send one excess car out the root

Placing the root at 1
  There are 308 unordered parking functions
  There are 15940260 ordered parking functions
  There are 1060 ways to send one excess car out the root
Placing the root at 2
  There are 258 unordered parking functions
  There are 14349384 ordered parking functions
  There are 945 ways to send one excess car out the root
Placing the root at 3
  There are 903 unordered parking functions
  There are 33550344 ordered parking functions
  There are 2633 ways to send one excess car out the root
Placing the root at 0
  There are 366 unordered parking functions
  There are 18044460 ordered parking functions
  There are 1213 ways to send one excess car out the root
Placing the root at 6
  There are 474 unordered parking functions
  There are 22144248 ordered parking functions
  There are 1501 ways to send one excess car out the root
Placing the root at 7
  There are 737 unordered parking functions
  There are 31373244 ordered parking functions
  There are 2167 ways to send one excess car out the root
Placing the root at 8
  There are 2002 unordered parking functions
  There are 61197954 ordered parking functions
  There are 5070 ways to send one excess car out the root

Placing the root at 1
  There are 252 unordered parking functions
  There are 13665708 ordered parking functions
  There are 914 ways to send one excess car out the root
Placing the root at 2
  There are 314 unordered parking functions
  There are 16554384 ordered parking functions
  There are 1085 ways to send one excess car out the root
Placing the root at 3
  There are 1029 unordered parking functions
  There are 36936594 ordered parking functions
  There are 2899 ways to send one excess car out the root
Placing the root at 0
  There are 323 unordered parking functions
  There are 16340940 ordered parking functions
  There are 1095 ways to send one excess car out the root
Placing the root at 5
  There are 872 unordered parking functions
  There are 31878756 ordered parking functions
  There are 2537 ways to send one excess car out the root
Placing the root at 6
  There are 431 unordered parking functions
  There are 20506752 ordered parking functions
  There are 1383 ways to send one excess car out the root
Placing the root at 7
  There are 681 unordered parking functions
  There are 29411172 ordered parking functions
  There are 2021 ways to send one excess car out the root
Placing the root at 8
  There are 1870 unordered parking functions
  There are 57838722 ordered parking functions
  There are 4773 ways to send one excess car out the root

Placing the root at 1
  There are 438 unordered parking functions
  There are 20343456 ordered parking functions
  There are 1441 ways to send one excess car out the root
Placing the root at 2
  There are 477 unordered parking functions
  There are 22410864 ordered parking functions
  There are 1568 ways to send one excess car out the root
Placing the root at 3
  There are 1478 unordered parking functions
  There are 47989554 ordered parking functions
  There are 3999 ways to send one excess car out the root
Placing the root at 0
  There are 423 unordered parking functions
  There are 19633320 ordered parking functions
  There are 1396 ways to send one excess car out the root

Placing the root at 1
  There are 366 unordered parking functions
  There are 17944668 ordered parking functions
  There are 1223 ways to send one excess car out the root
Placing the root at 2
  There are 407 unordered parking functions
  There are 20061720 ordered parking functions
  There are 1352 ways to send one excess car out the root
Placing the root at 3
  There are 1276 unordered parking functions
  There are 43326726 ordered parking functions
  There are 3486 ways to send one excess car out the root
Placing the root at 0
  There are 340 unordered parking functions
  There are 16857540 ordered parking functions
  There are 1152 ways to send one excess car out the root
Placing the root at 5
  There are 320 unordered parking functions
  There are 16371432 ordered parking functions
  There are 1116 ways to send one excess car out the root
Placing the root at 6
  There are 561 unordered parking functions
  There are 25293744 ordered parking functions
  There are 1736 ways to send one excess car out the root
Placing the root at 7
  There are 1618 unordered parking functions
  There are 51527634 ordered parking functions
  There are 4251 ways to send one excess car out the root
Placing the root at 8
  There are 1060 unordered parking functions
  There are 36952440 ordered parking functions
  There are 2995 ways to send one excess car out the root

Placing the root at 1
  There are 312 unordered parking functions
  There are 15963948 ordered parking functions
  There are 1069 ways to send one excess car out the root
Placing the root at 2
  There are 359 unordered parking functions
  There are 18288144 ordered parking functions
  There are 1210 ways to send one excess car out the root
Placing the root at 3
  There are 1144 unordered parking functions
  There are 39975378 ordered parking functions
  There are 3164 ways to send one excess car out the root
Placing the root at 0
  There are 266 unordered parking functions
  There are 14128380 ordered parking functions
  There are 954 ways to send one excess car out the root
Placing the root at 5
  There are 383 unordered parking functions
  There are 18717552 ordered parking functions
  There are 1260 ways to send one excess car out the root
Placing the root at 6
  There are 624 unordered parking functions
  There are 27454644 ordered parking functions
  There are 1880 ways to send one excess car out the root
Placing the root at 7
  There are 1744 unordered parking functions
  There are 54688722 ordered parking functions
  There are 4503 ways to send one excess car out the root
Placing the root at 8
  There are 909 unordered parking functions
  There are 32691876 ordered parking functions
  There are 2624 ways to send one excess car out the root

Placing the root at 1
  There are 228 unordered parking functions
  There are 13902840 ordered parking functions
  There are 779 ways to send one excess car out the root
Placing the root at 2
  There are 261 unordered parking functions
  There are 15824592 ordered parking functions
  There are 881 ways to send one excess car out the root
Placing the root at 3
  There are 833 unordered parking functions
  There are 34558524 ordered parking functions
  There are 2311 ways to send one excess car out the root
Placing the root at 5
  There are 174 unordered parking functions
  There are 11613168 ordered parking functions
  There are 645 ways to send one excess car out the root
Placing the root at 6
  There are 617 unordered parking functions
  There are 27390384 ordered parking functions
  There are 1820 ways to send one excess car out the root
Placing the root at 0
  There are 202 unordered parking functions
  There are 12678120 ordered parking functions
  There are 708 ways to send one excess car out the root

Placing the root at 1
  There are 201 unordered parking functions
  There are 12582360 ordered parking functions
  There are 702 ways to send one excess car out the root
Placing the root at 2
  There are 237 unordered parking functions
  There are 14642208 ordered parking functions
  There are 810 ways to send one excess car out the root
Placing the root at 3
  There are 767 unordered parking functions
  There are 32324292 ordered parking functions
  There are 2150 ways to send one excess car out the root
Placing the root at 5
  There are 210 unordered parking functions
  There are 13341888 ordered parking functions
  There are 735 ways to send one excess car out the root
Placing the root at 6
  There are 698 unordered parking functions
  There are 30045204 ordered parking functions
  There are 1991 ways to send one excess car out the root
Placing the root at 0
  There are 165 unordered parking functions
  There are 10858680 ordered parking functions
  There are 609 ways to send one excess car out the root
Placing the root at 8
  There are 582 unordered parking functions
  There are 25653096 ordered parking functions
  There are 1720 ways to send one excess car out the root

Placing the root at 1
  There are 267 unordered parking functions
  There are 14225400 ordered parking functions
  There are 928 ways to send one excess car out the root
Placing the root at 2
  There are 313 unordered parking functions
  There are 16530192 ordered parking functions
  There are 1065 ways to send one excess car out the root
Placing the root at 3
  There are 1008 unordered parking functions
  There are 36429666 ordered parking functions
  There are 2812 ways to send one excess car out the root
Placing the root at 5
  There are 410 unordered parking functions
  There are 19890612 ordered parking functions
  There are 1314 ways to send one excess car out the root
Placing the root at 6
  There are 1231 unordered parking functions
  There are 41780508 ordered parking functions
  There are 3328 ways to send one excess car out the root
Placing the root at 0
  There are 220 unordered parking functions
  There are 12262320 ordered parking functions
  There are 809 ways to send one excess car out the root

Placing the root at 1
  There are 156 unordered parking functions
  There are 10589040 ordered parking functions
  There are 561 ways to send one excess car out the root
Placing the root at 2
  There are 191 unordered parking functions
  There are 12648384 ordered parking functions
  There are 665 ways to send one excess car out the root
Placing the root at 3
  There are 631 unordered parking functions
  There are 28325556 ordered parking functions
  There are 1798 ways to send one excess car out the root
Placing the root at 5
  There are 237 unordered parking functions
  There are 14700168 ordered parking functions
  There are 789 ways to send one excess car out the root
Placing the root at 6
  There are 743 unordered parking functions
  There are 31712184 ordered parking functions
  There are 2072 ways to send one excess car out the root
Placing the root at 7
  There are 446 unordered parking functions
  There are 21372372 ordered parking functions
  There are 1368 ways to send one excess car out the root
Placing the root at 0
  There are 119 unordered parking functions
  There are 8668800 ordered parking functions
  There are 464 ways to send one excess car out the root

Placing the root at 1
  There are 336 unordered parking functions
  There are 15432984 ordered parking functions
  There are 1214 ways to send one excess car out the root
Placing the root at 2
  There are 614 unordered parking functions
  There are 24706458 ordered parking functions
  There are 1940 ways to send one excess car out the root
Placing the root at 3
  There are 1814 unordered parking functions
  There are 51374046 ordered parking functions
  There are 4839 ways to send one excess car out the root
Placing the root at 0
  There are 429 unordered parking functions
  There are 18474540 ordered parking functions
  There are 1447 ways to send one excess car out the root
Placing the root at 6
  There are 569 unordered parking functions
  There are 23148888 ordered parking functions
  There are 1817 ways to send one excess car out the root
Placing the root at 7
  There are 894 unordered parking functions
  There are 33136866 ordered parking functions
  There are 2641 ways to send one excess car out the root
Placing the root at 8
  There are 2442 unordered parking functions
  There are 65039778 ordered parking functions
  There are 6203 ways to send one excess car out the root

Placing the root at 1
  There are 182 unordered parking functions
  There are 10918656 ordered parking functions
  There are 698 ways to send one excess car out the root
Placing the root at 2
  There are 356 unordered parking functions
  There are 18286884 ordered parking functions
  There are 1169 ways to send one excess car out the root
Placing the root at 3
  There are 1099 unordered parking functions
  There are 39062844 ordered parking functions
  There are 3025 ways to send one excess car out the root
Placing the root at 4
  There are 670 unordered parking functions
  There are 26596458 ordered parking functions
  There are 2024 ways to send one excess car out the root
Placing the root at 0
  There are 251 unordered parking functions
  There are 13761720 ordered parking functions
  There are 877 ways to send one excess car out the root
Placing the root at 6
  There are 348 unordered parking functions
  There are 17732736 ordered parking functions
  There are 1139 ways to send one excess car out the root
Placing the root at 7
  There are 563 unordered parking functions
  There are 25845876 ordered parking functions
  There are 1696 ways to send one excess car out the root
Placing the root at 8
  There are 1573 unordered parking functions
  There are 51413028 ordered parking functions
  There are 4069 ways to send one excess car out the root

Placing the root at 1
  There are 267 unordered parking functions
  There are 14427756 ordered parking functions
  There are 945 ways to send one excess car out the root
Placing the root at 2
  There are 476 unordered parking functions
  There are 22570380 ordered parking functions
  There are 1490 ways to send one excess car out the root
Placing the root at 3
  There are 1391 unordered parking functions
  There are 46405536 ordered parking functions
  There are 3693 ways to send one excess car out the root
Placing the root at 4
  There are 899 unordered parking functions
  There are 32955342 ordered parking functions
  There are 2573 ways to send one excess car out the root
Placing the root at 0
  There are 273 unordered parking functions
  There are 14464800 ordered parking functions
  There are 949 ways to send one excess car out the root

Placing the root at 1
  There are 227 unordered parking functions
  There are 12813696 ordered parking functions
  There are 823 ways to send one excess car out the root
Placing the root at 0
  There are 213 unordered parking functions
  There are 12102300 ordered parking functions
  There are 783 ways to send one excess car out the root
Placing the root at 2
  There are 416 unordered parking functions
  There are 20464164 ordered parking functions
  There are 1324 ways to send one excess car out the root
Placing the root at 3
  There are 1239 unordered parking functions
  There are 42645948 ordered parking functions
  There are 3335 ways to send one excess car out the root
Placing the root at 4
  There are 785 unordered parking functions
  There are 29848938 ordered parking functions
  There are 2289 ways to send one excess car out the root
Placing the root at 5
  There are 316 unordered parking functions
  There are 16390836 ordered parking functions
  There are 1057 ways to send one excess car out the root
Placing the root at 6
  There are 525 unordered parking functions
  There are 24378480 ordered parking functions
  There are 1602 ways to send one excess car out the root
Placing the root at 7
  There are 1489 unordered parking functions
  There are 49050528 ordered parking functions
  There are 3889 ways to send one excess car out the root
Placing the root at 8
  There are 748 unordered parking functions
  There are 28559706 ordered parking functions
  There are 2202 ways to send one excess car out the root

Placing the root at 1
  There are 166 unordered parking functions
  There are 11166120 ordered parking functions
  There are 600 ways to send one excess car out the root
Placing the root at 2
  There are 303 unordered parking functions
  There are 17737272 ordered parking functions
  There are 965 ways to send one excess car out the root
Placing the root at 3
  There are 903 unordered parking functions
  There are 36905904 ordered parking functions
  There are 2437 ways to send one excess car out the root
Placing the root at 4
  There are 572 unordered parking functions
  There are 25882668 ordered parking functions
  There are 1669 ways to send one excess car out the root
Placing the root at 5
  There are 145 unordered parking functions
  There are 10226664 ordered parking functions
  There are 545 ways to send one excess car out the root
Placing the root at 6
  There are 522 unordered parking functions
  There are 24394860 ordered parking functions
  There are 1559 ways to send one excess car out the root
Placing the root at 0
  There are 162 unordered parking functions
  There are 10871280 ordered parking functions
  There are 582 ways to send one excess car out the root

Placing the root at 1
  There are 146 unordered parking functions
  There are 10090080 ordered parking functions
  There are 539 ways to send one excess car out the root
Placing the root at 2
  There are 273 unordered parking functions
  There are 16333128 ordered parking functions
  There are 882 ways to send one excess car out the root
Placing the root at 3
  There are 827 unordered parking functions
  There are 34399512 ordered parking functions
  There are 2258 ways to send one excess car out the root
Placing the root at 4
  There are 515 unordered parking functions
  There are 23811732 ordered parking functions
  There are 1527 ways to send one excess car out the root
Placing the root at 5
  There are 173 unordered parking functions
  There are 11673144 ordered parking functions
  There are 615 ways to send one excess car out the root
Placing the root at 6
  There are 585 unordered parking functions
  There are 26616240 ordered parking functions
  There are 1692 ways to send one excess car out the root
Placing the root at 0
  There are 132 unordered parking functions
  There are 9296280 ordered parking functions
  There are 499 ways to send one excess car out the root
Placing the root at 8
  There are 478 unordered parking functions
  There are 22387428 ordered parking functions
  There are 1440 ways to send one excess car out the root

Placing the root at 1
  There are 194 unordered parking functions
  There are 11408040 ordered parking functions
  There are 713 ways to send one excess car out the root
Placing the root at 2
  There are 361 unordered parking functions
  There are 18442872 ordered parking functions
  There are 1161 ways to send one excess car out the root
Placing the root at 3
  There are 1088 unordered parking functions
  There are 38777046 ordered parking functions
  There are 2956 ways to send one excess car out the root
Placing the root at 4
  There are 681 unordered parking functions
  There are 26887308 ordered parking functions
  There are 2009 ways to send one excess car out the root
Placing the root at 5
  There are 337 unordered parking functions
  There are 17372376 ordered parking functions
  There are 1099 ways to send one excess car out the root
Placing the root at 6
  There are 1032 unordered parking functions
  There are 36995154 ordered parking functions
  There are 2832 ways to send one excess car out the root
Placing the root at 0
  There are 176 unordered parking functions
  There are 10497060 ordered parking functions
  There are 663 ways to send one excess car out the root

Placing the root at 1
  There are 113 unordered parking functions
  There are 8477280 ordered parking functions
  There are 429 ways to send one excess car out the root
Placing the root at 2
  There are 218 unordered parking functions
  There are 14034384 ordered parking functions
  There are 719 ways to send one excess car out the root
Placing the root at 3
  There are 676 unordered parking functions
  There are 30026556 ordered parking functions
  There are 1879 ways to send one excess car out the root
Placing the root at 4
  There are 411 unordered parking functions
  There are 20441736 ordered parking functions
  There are 1247 ways to send one excess car out the root
Placing the root at 5
  There are 194 unordered parking functions
  There are 12809664 ordered parking functions
  There are 657 ways to send one excess car out the root
Placing the root at 6
  There are 620 unordered parking functions
  There are 28011060 ordered parking functions
  There are 1755 ways to send one excess car out the root
Placing the root at 7
  There are 365 unordered parking functions
  There are 18612216 ordered parking functions
  There are 1141 ways to send one excess car out the root
Placing the root at 0
  There are 95 unordered parking functions
  There are 7411320 ordered parking functions
  There are 379 ways to send one excess car out the root

Placing the root at 1
  There are 451 unordered parking functions
  There are 19350744 ordered parking functions
  There are 1499 ways to send one excess car out the root
Placing the root at 2
  There are 744 unordered parking functions
  There are 28726362 ordered parking functions
  There are 2255 ways to send one excess car out the root
Placing the root at 3
  There are 2094 unordered parking functions
  There are 57638430 ordered parking functions
  There are 5429 ways to send one excess car out the root
Placing the root at 0
  There are 305 unordered parking functions
  There are 14259840 ordered parking functions
  There are 1117 ways to send one excess car out the root
Placing the root at 7
  There are 566 unordered parking functions
  There are 23125158 ordered parking functions
  There are 1805 ways to send one excess car out the root
Placing the root at 8
  There are 1690 unordered parking functions
  There are 48495258 ordered parking functions
  There are 4543 ways to send one excess car out the root

Placing the root at 1
  There are 262 unordered parking functions
  There are 14345856 ordered parking functions
  There are 903 ways to send one excess car out the root
Placing the root at 2
  There are 451 unordered parking functions
  There are 21875364 ordered parking functions
  There are 1404 ways to send one excess car out the root
Placing the root at 3
  There are 1309 unordered parking functions
  There are 44710332 ordered parking functions
  There are 3475 ways to send one excess car out the root
Placing the root at 7
  There are 616 unordered parking functions
  There are 24845478 ordered parking functions
  There are 1880 ways to send one excess car out the root
Placing the root at 0
  There are 165 unordered parking functions
  There are 10080000 ordered parking functions
  There are 641 ways to send one excess car out the root

Placing the root at 1
  There are 210 unordered parking functions
  There are 13497120 ordered parking functions
  There are 705 ways to send one excess car out the root
Placing the root at 2
  There are 350 unordered parking functions
  There are 20038536 ordered parking functions
  There are 1076 ways to send one excess car out the root
Placing the root at 3
  There are 1001 unordered parking functions
  There are 40416264 ordered parking functions
  There are 2639 ways to send one excess car out the root
Placing the root at 4
  There are 98 unordered parking functions
  There are 7699104 ordered parking functions
  There are 398 ways to send one excess car out the root
Placing the root at 5
  There are 384 unordered parking functions
  There are 19546884 ordered parking functions
  There are 1211 ways to send one excess car out the root
Placing the root at 0
  There are 145 unordered parking functions
  There are 10185840 ordered parking functions
  There are 525 ways to send one excess car out the root

Placing the root at 1
  There are 194 unordered parking functions
  There are 12602520 ordered parking functions
  There are 664 ways to send one excess car out the root
Placing the root at 2
  There are 331 unordered parking functions
  There are 19060272 ordered parking functions
  There are 1029 ways to send one excess car out the root
Placing the root at 3
  There are 959 unordered parking functions
  There are 38841264 ordered parking functions
  There are 2549 ways to send one excess car out the root
Placing the root at 4
  There are 123 unordered parking functions
  There are 9069984 ordered parking functions
  There are 473 ways to send one excess car out the root
Placing the root at 5
  There are 454 unordered parking functions
  There are 22046724 ordered parking functions
  There are 1381 ways to send one excess car out the root
Placing the root at 0
  There are 126 unordered parking functions
  There are 9079560 ordered parking functions
  There are 478 ways to send one excess car out the root
Placing the root at 8
  There are 458 unordered parking functions
  There are 21907620 ordered parking functions
  There are 1385 ways to send one excess car out the root

Placing the root at 1
  There are 289 unordered parking functions
  There are 15200640 ordered parking functions
  There are 980 ways to send one excess car out the root
Placing the root at 2
  There are 488 unordered parking functions
  There are 22905540 ordered parking functions
  There are 1503 ways to send one excess car out the root
Placing the root at 3
  There are 1399 unordered parking functions
  There are 46478796 ordered parking functions
  There are 3682 ways to send one excess car out the root
Placing the root at 4
  There are 247 unordered parking functions
  There are 13781376 ordered parking functions
  There are 873 ways to send one excess car out the root
Placing the root at 5
  There are 830 unordered parking functions
  There are 31369002 ordered parking functions
  There are 2384 ways to send one excess car out the root
Placing the root at 0
  There are 189 unordered parking functions
  There are 10951920 ordered parking functions
  There are 712 ways to send one excess car out the root
Placing the root at 7
  There are 362 unordered parking functions
  There are 18141228 ordered parking functions
  There are 1179 ways to send one excess car out the root
Placing the root at 8
  There are 1107 unordered parking functions
  There are 38614884 ordered parking functions
  There are 3032 ways to send one excess car out the root

Placing the root at 1
  There are 167 unordered parking functions
  There are 11239200 ordered parking functions
  There are 587 ways to send one excess car out the root
Placing the root at 2
  There are 294 unordered parking functions
  There are 17391528 ordered parking functions
  There are 930 ways to send one excess car out the root
Placing the root at 3
  There are 869 unordered parking functions
  There are 35947800 ordered parking functions
  There are 2342 ways to send one excess car out the root
Placing the root at 4
  There are 143 unordered parking functions
  There are 10198944 ordered parking functions
  There are 523 ways to send one excess car out the root
Placing the root at 5
  There are 499 unordered parking functions
  There are 23780484 ordered parking functions
  There are 1476 ways to send one excess car out the root
Placing the root at 7
  There are 392 unordered parking functions
  There are 19431468 ordered parking functions
  There are 1224 ways to send one excess car out the root
Placing the root at 0
  There are 102 unordered parking functions
  There are 7731360 ordered parking functions
  There are 407 ways to send one excess car out the root

Placing the root at 1
  There are 222 unordered parking functions
  There are 12700800 ordered parking functions
  There are 777 ways to send one excess car out the root
Placing the root at 2
  There are 389 unordered parking functions
  There are 19633572 ordered parking functions
  There are 1225 ways to send one excess car out the root
Placing the root at 3
  There are 1144 unordered parking functions
  There are 40518870 ordered parking functions
  There are 3068 ways to send one excess car out the root
Placing the root at 4
  There are 277 unordered parking functions
  There are 15111936 ordered parking functions
  There are 933 ways to send one excess car out the root
Placing the root at 5
  There are 880 unordered parking functions
  There are 33001962 ordered parking functions
  There are 2474 ways to send one excess car out the root
Placing the root at 0
  There are 136 unordered parking functions
  There are 8728020 ordered parking functions
  There are 541 ways to send one excess car out the root
Placing the root at 8
  There are 521 unordered parking functions
  There are 21951384 ordered parking functions
  There are 1619 ways to send one excess car out the root

Placing the root at 1
  There are 127 unordered parking functions
  There are 9339120 ordered parking functions
  There are 461 ways to send one excess car out the root
Placing the root at 2
  There are 232 unordered parking functions
  There are 14828184 ordered parking functions
  There are 751 ways to send one excess car out the root
Placing the root at 3
  There are 704 unordered parking functions
  There are 31187772 ordered parking functions
  There are 1935 ways to send one excess car out the root
Placing the root at 4
  There are 158 unordered parking functions
  There are 11085984 ordered parking functions
  There are 553 ways to send one excess car out the root
Placing the root at 5
  There are 524 unordered parking functions
  There are 24869124 ordered parking functions
  There are 1521 ways to send one excess car out the root
Placing the root at 6
  There are 297 unordered parking functions
  There are 16079616 ordered parking functions
  There are 963 ways to send one excess car out the root
Placing the root at 0
  There are 73 unordered parking functions
  There are 6141240 ordered parking functions
  There are 307 ways to send one excess car out the root

Placing the root at 1
  There are 39 unordered parking functions
  There are 4309200 ordered parking functions
  There are 173 ways to send one excess car out the root
Placing the root at 2
  There are 168 unordered parking functions
  There are 11731104 ordered parking functions
  There are 568 ways to send one excess car out the root
Placing the root at 0
  There are 72 unordered parking functions
  There are 6834240 ordered parking functions
  There are 271 ways to send one excess car out the root
Placing the root at 7
  There are 137 unordered parking functions
  There are 11143440 ordered parking functions
  There are 456 ways to send one excess car out the root
Placing the root at 8
  There are 429 unordered parking functions
  There are 23892120 ordered parking functions
  There are 1209 ways to send one excess car out the root

Placing the root at 1
  There are 64 unordered parking functions
  There are 6108480 ordered parking functions
  There are 264 ways to send one excess car out the root
Placing the root at 2
  There are 255 unordered parking functions
  There are 15688008 ordered parking functions
  There are 816 ways to send one excess car out the root
Placing the root at 6
  There are 115 unordered parking functions
  There are 9616320 ordered parking functions
  There are 410 ways to send one excess car out the root
Placing the root at 7
  There are 390 unordered parking functions
  There are 21893256 ordered parking functions
  There are 1136 ways to send one excess car out the root
Placing the root at 0
  There are 90 unordered parking functions
  There are 7832160 ordered parking functions
  There are 335 ways to send one excess car out the root

Placing the root at 1
  There are 51 unordered parking functions
  There are 5216400 ordered parking functions
  There are 215 ways to send one excess car out the root
Placing the root at 2
  There are 208 unordered parking functions
  There are 13636224 ordered parking functions
  There are 678 ways to send one excess car out the root
Placing the root at 0
  There are 65 unordered parking functions
  There are 6259680 ordered parking functions
  There are 255 ways to send one excess car out the root
Placing the root at 6
  There are 130 unordered parking functions
  There are 10614240 ordered parking functions
  There are 440 ways to send one excess car out the root
Placing the root at 7
  There are 415 unordered parking functions
  There are 23117976 ordered parking functions
  There are 1181 ways to send one excess car out the root
Placing the root at 8
  There are 245 unordered parking functions
  There are 15447600 ordered parking functions
  There are 765 ways to send one excess car out the root

Placing the root at 1
  There are 90 unordered parking functions
  There are 7907760 ordered parking functions
  There are 345 ways to send one excess car out the root
Placing the root at 2
  There are 331 unordered parking functions
  There are 19128312 ordered parking functions
  There are 1007 ways to send one excess car out the root
Placing the root at 0
  There are 96 unordered parking functions
  There are 8164800 ordered parking functions
  There are 356 ways to send one excess car out the root

Placing the root at 1
  There are 79 unordered parking functions
  There are 7136640 ordered parking functions
  There are 309 ways to send one excess car out the root
Placing the root at 2
  There are 297 unordered parking functions
  There are 17562888 ordered parking functions
  There are 918 ways to send one excess car out the root
Placing the root at 5
  There are 106 unordered parking functions
  There are 8966160 ordered parking functions
  There are 385 ways to send one excess car out the root
Placing the root at 6
  There are 367 unordered parking functions
  There are 20753712 ordered parking functions
  There are 1083 ways to send one excess car out the root
Placing the root at 0
  There are 78 unordered parking functions
  There are 6970320 ordered parking functions
  There are 304 ways to send one excess car out the root
Placing the root at 8
  There are 292 unordered parking functions
  There are 17153640 ordered parking functions
  There are 903 ways to send one excess car out the root

Placing the root at 1
  There are 105 unordered parking functions
  There are 8069040 ordered parking functions
  There are 409 ways to send one excess car out the root
Placing the root at 2
  There are 393 unordered parking functions
  There are 19833912 ordered parking functions
  There are 1209 ways to send one excess car out the root
Placing the root at 5
  There are 206 unordered parking functions
  There are 13320720 ordered parking functions
  There are 688 ways to send one excess car out the root
Placing the root at 6
  There are 648 unordered parking functions
  There are 28838628 ordered parking functions
  There are 1817 ways to send one excess car out the root
Placing the root at 0
  There are 104 unordered parking functions
  There are 7869960 ordered parking functions
  There are 404 ways to send one excess car out the root

Placing the root at 1
  There are 61 unordered parking functions
  There are 5987520 ordered parking functions
  There are 245 ways to send one excess car out the root
Placing the root at 2
  There are 236 unordered parking functions
  There are 15042384 ordered parking functions
  There are 746 ways to send one excess car out the root
Placing the root at 5
  There are 118 unordered parking functions
  There are 9797760 ordered parking functions
  There are 409 ways to send one excess car out the root
Placing the root at 6
  There are 387 unordered parking functions
  There are 21774312 ordered parking functions
  There are 1119 ways to send one excess car out the root
Placing the root at 7
  There are 222 unordered parking functions
  There are 14227920 ordered parking functions
  There are 712 ways to send one excess car out the root
Placing the root at 0
  There are 56 unordered parking functions
  There are 5549040 ordered parking functions
  There are 230 ways to send one excess car out the root

Placing the root at 1
  There are 35 unordered parking functions
  There are 4415040 ordered parking functions
  There are 145 ways to send one excess car out the root
Placing the root at 2
  There are 140 unordered parking functions
  There are 11340000 ordered parking functions
  There are 455 ways to send one excess car out the root
Placing the root at 5
  There are 126 unordered parking functions
  There are 10402560 ordered parking functions
  There are 421 ways to send one excess car out the root
Placing the root at 0
  There are 30 unordered parking functions
  There are 3900960 ordered parking functions
  There are 130 ways to send one excess car out the root

Placing the root at 1
  There are 158 unordered parking functions
  There are 10815840 ordered parking functions
  There are 569 ways to send one excess car out the root
Placing the root at 2
  There are 542 unordered parking functions
  There are 24951780 ordered parking functions
  There are 1584 ways to send one excess car out the root
Placing the root at 0
  There are 117 unordered parking functions
  There are 8406720 ordered parking functions
  There are 453 ways to send one excess car out the root
Placing the root at 7
  There are 231 unordered parking functions
  There are 14215320 ordered parking functions
  There are 768 ways to send one excess car out the root
Placing the root at 8
  There are 723 unordered parking functions
  There are 30705192 ordered parking functions
  There are 2017 ways to send one excess car out the root

Placing the root at 1
  There are 91 unordered parking functions
  There are 7983360 ordered parking functions
  There are 339 ways to send one excess car out the root
Placing the root at 2
  There are 324 unordered parking functions
  There are 18863208 ordered parking functions
  There are 975 ways to send one excess car out the root
Placing the root at 7
  There are 249 unordered parking functions
  There are 15183000 ordered parking functions
  There are 795 ways to send one excess car out the root
Placing the root at 0
  There are 63 unordered parking functions
  There are 5927040 ordered parking functions
  There are 258 ways to send one excess car out the root

Placing the root at 1
  There are 121 unordered parking functions
  There are 9021600 ordered parking functions
  There are 449 ways to send one excess car out the root
Placing the root at 2
  There are 429 unordered parking functions
  There are 21296772 ordered parking functions
  There are 1285 ways to send one excess car out the root
Placing the root at 4
  There are 176 unordered parking functions
  There are 11813760 ordered parking functions
  There are 605 ways to send one excess car out the root
Placing the root at 5
  There are 572 unordered parking functions
  There are 26176500 ordered parking functions
  There are 1638 ways to send one excess car out the root
Placing the root at 0
  There are 84 unordered parking functions
  There are 6690600 ordered parking functions
  There are 343 ways to send one excess car out the root
Placing the root at 8
  There are 331 unordered parking functions
  There are 17151120 ordered parking functions
  There are 1052 ways to send one excess car out the root

Placing the root at 1
  There are 69 unordered parking functions
  There are 6622560 ordered parking functions
  There are 265 ways to send one excess car out the root
Placing the root at 2
  There are 254 unordered parking functions
  There are 16017624 ordered parking functions
  There are 784 ways to send one excess car out the root
Placing the root at 4
  There are 100 unordered parking functions
  There are 8648640 ordered parking functions
  There are 357 ways to send one excess car out the root
Placing the root at 5
  There are 339 unordered parking functions
  There are 19679688 ordered parking functions
  There are 1002 ways to send one excess car out the root
Placing the root at 6
  There are 188 unordered parking functions
  There are 12539520 ordered parking functions
  There are 623 ways to send one excess car out the root
Placing the root at 0
  There are 45 unordered parking functions
  There are 4702320 ordered parking functions
  There are 194 ways to send one excess car out the root

Placing the root at 1
  There are 39 unordered parking functions
  There are 4838400 ordered parking functions
  There are 155 ways to send one excess car out the root
Placing the root at 2
  There are 149 unordered parking functions
  There are 11990160 ordered parking functions
  There are 474 ways to send one excess car out the root
Placing the root at 4
  There are 106 unordered parking functions
  There are 9132480 ordered parking functions
  There are 366 ways to send one excess car out the root
Placing the root at 0
  There are 24 unordered parking functions
  There are 3296160 ordered parking functions
  There are 109 ways to send one excess car out the root

Placing the root at 1
  There are 234 unordered parking functions
  There are 13347180 ordered parking functions
  There are 801 ways to send one excess car out the root
Placing the root at 2
  There are 757 unordered parking functions
  There are 29547672 ordered parking functions
  There are 2157 ways to send one excess car out the root
Placing the root at 0
  There are 112 unordered parking functions
  There are 7552440 ordered parking functions
  There are 456 ways to send one excess car out the root

Placing the root at 1
  There are 133 unordered parking functions
  There are 9770040 ordered parking functions
  There are 473 ways to send one excess car out the root
Placing the root at 2
  There are 449 unordered parking functions
  There are 22215312 ordered parking functions
  There are 1321 ways to send one excess car out the root
Placing the root at 7
  There are 250 unordered parking functions
  There are 14163660 ordered parking functions
  There are 825 ways to send one excess car out the root
Placing the root at 0
  There are 60 unordered parking functions
  There are 5307120 ordered parking functions
  There are 258 ways to send one excess car out the root

Placing the root at 1
  There are 75 unordered parking functions
  There are 7121520 ordered parking functions
  There are 277 ways to send one excess car out the root
Placing the root at 2
  There are 264 unordered parking functions
  There are 16629984 ordered parking functions
  There are 802 ways to send one excess car out the root
Placing the root at 5
  There are 141 unordered parking functions
  There are 10314360 ordered parking functions
  There are 485 ways to send one excess car out the root
Placing the root at 0
  There are 32 unordered parking functions
  There are 3719520 ordered parking functions
  There are 145 ways to send one excess car out the root

Placing the root at 1
  There are 42 unordered parking functions
  There are 5171040 ordered parking functions
  There are 161 ways to send one excess car out the root
Placing the root at 2
  There are 154 unordered parking functions
  There are 12398400 ordered parking functions
  There are 483 ways to send one excess car out the root
Placing the root at 3
  There are 79 unordered parking functions
  There are 7484400 ordered parking functions
  There are 283 ways to send one excess car out the root
Placing the root at 0
  There are 17 unordered parking functions
  There are 2600640 ordered parking functions
  There are 81 ways to send one excess car out the root

Placing the root at 1
  There are 44 unordered parking functions
  There are 5412960 ordered parking functions
  There are 164 ways to send one excess car out the root
Placing the root at 0
  There are 9 unordered parking functions
  There are 1814400 ordered parking functions
  There are 45 ways to send one excess car out the root

Parking functions on small trees

4005 days ago by butler