Parking functions on small trees

3940 days ago by butler

%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('<!--notruncate-->') 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