Onion Routing

Results of the Intermediate Node Algorithm on a Four-Connected Graph

We refer to the following connected, undirected graph as four-connected, because four is the minimum number of edges that if removed, disconnects the graph. More specifically, every node in this graph has a degree of four or more. The topology of this graph is likely to be the most common of the network topologies presented.

Four-Connected Graph


The following bar chart is loaded with information, so take your time reading it.

The significance of this graph is that even if a given source and destination frequently (or even always) traverse an edge (and thus two nodes), this should be considered in light of how frequently all other communicating endpoints utilize the edge. For example, suppose source X and destination Y use the edge(U,V) 100% of the time. If many other source and destination pairs use this same edge with equal (or close to) frequencies, then our concern is diminished. However, if other source and destination pairs rarely use the edge, then the fact that X and Y continuously utilize the edge might be problematic. Recall, this algorithm was executed a 1000 times.

Edge Utilization



The following tables display the results obtained from 1000 executions of two cases. The first set of tables correspond to 1000 executions where F is the source node communicating with various destination nodes, and the second set of tables correspond to 1000 executions where N is the source node communicating with various destination nodes. The first table for a given source and destination pair shows the number of times a given path was selected. It also shows the actual path taken. Note, the actual path displayed is shown in reverse order (destination to source).

This information was collected for all source-destination pairs, but we did not display all of them for obvious reasons. If there are particular source-destination pairs that you would like to see the tables, please send mail to syverson@itd.nrl.navy.mil and it will be included.

SOURCE F TO DESTINATION G:

FREQUENCY PATH
10 G D C E H F
11 G D G E F
10 G D G J H F
11 G E A E H F
1 G E C B F
9 G E C E F
17 G E C H F
11 G E D E F
18 G E F
20 G E F B F
12 G E F N L M L N F
11 G E F N L M S M L N F
8 G E F N L N F
12 G E F N L P L N F
10 G E F N L P R P L N F
11 G E F N O M O N F
13 G E F N O M P L P M O N F
12 G E F N O M P L Q L P M O N F
9 G E F N O M P M O N F
11 G E F N O M P T P M O N F
11 G E F N O M P T R T P M O N F
11 G E F N O M P T S T P M O N F
13 G E F N O N F
12 G E F N Q N F
11 G E F N Q O Q N F
12 G E F N Q O T O Q N F
30 G E F N F
9 G E F I F
1 G E H E A B F
12 G E H F
1 G E H I Q L B F
10 G E I E F
9 G H K I F
15 G H C A E F
13 G H C B L B F
11 G H C B F
9 G H C B I B F
10 G H C B I Q I B F
8 G H C D C H F
20 G H C F
15 G H C H F
12 G H E A E H F
10 G H E C E H F
8 G H E H F
22 G H F
11 G H F N O N F
15 G H F N O T O N F
11 G H F N O T S T O N F
14 G H F N R N F
12 G H F N R P M P R N F
9 G H F N R P R N F
9 G H F N F
13 G H G E F
1 G H I B L N F
12 G H I B I H F
13 G H I K I H F
10 G H I K J K I H F
15 G H I Q O L M L O Q I H F
9 G H I Q O L N F
10 G H I Q O L O Q I H F
11 G H I Q O L P L O Q I H F
15 G H I Q O Q I H F
10 G H I Q S Q I H F
11 G H I Q S R S Q I H F
10 G H I Q S R T R S Q I H F
9 G H I Q I H F
12 G H I H F
8 G H J A J H G E F
11 G H J K J H G E F
13 G H J H G E F
12 G J A B F
10 G J K J G H F
13 G J G E F
9 G J G H F
11 G J H K I B F
21 G J H F
11 G J H F B F
12 G J H F B I B F
9 G J H F B I Q N Q I B F
9 G J H F B I Q N R N Q I B F
11 G J H F B I Q N R P R N Q I B F
14 G J H F B I Q N R S R N Q I B F
13 G J H F B I Q O L O Q I B F
13 G J H F B I Q O M O Q I B F
12 G J H F B I Q O Q I B F
11 G J H F B I Q T Q I B F
13 G J H F B I Q I B F


SOURCE F TO DESTINATION H:
FREQUENCY PATH
11 H K I B F
8 H K I F
13 H C A E F
13 H C B L B F
10 H C B F
9 H C B I B F
11 H C B I Q I B F
10 H C D C H F
11 H C E C H F
10 H C F
9 H C F B F
12 H C F N O M O N F
11 H C F N O M P L P M O N F
12 H C F N O M P L Q L P M O N F
10 H C F N O M P M O N F
14 H C F N O M P T P M O N F
9 H C F N O M P T R T P M O N F
11 H C F N O M P T S T P M O N F
14 H C F N O N F
15 H C F N F
11 H C F I F
23 H C H F
1 H E A B F
24 H E A E H F
1 H E C B F
10 H E C D C E H F
10 H E C E H F
18 H E H F
12 H F B F
11 H F B I B F
9 H F B I Q N Q I B F
8 H F B I Q N R N Q I B F
12 H F B I Q N R P R N Q I B F
12 H F B I Q N R S R N Q I B F
14 H F B I Q O L O Q I B F
11 H F B I Q O M O Q I B F
14 H F B I Q O Q I B F
8 H F B I Q T Q I B F
12 H F B I Q I B F
11 H F N O N F
15 H F N O T O N F
12 H F N O T S T O N F
12 H F N R N F
11 H F N R P M P R N F
10 H F N R P R N F
9 H F N F
11 H G D G E F
9 H G E C E F
11 H G E D E F
40 H G E F
11 H G E F B F
11 H G E F N L M L N F
10 H G E F N L M S M L N F
8 H G E F N L N F
14 H G E F N L P L N F
10 H G E F N L P R P L N F
1 H G E F N O M P L P M O N F
14 H G E F N Q N F
11 H G E F N Q O Q N F
13 H G E F N Q O T O Q N F
13 H G E F N F
12 H G E I E F
24 H G H F
10 H G J K J G H F
10 H G J G E F
10 H G J G H F
1 H I B L N F
12 H I B I H F
13 H I K I H F
10 H I K J K I H F
1 H I Q L B F
11 H I Q O L M L O Q I H F
9 H I Q O L N F
10 H I Q O L O Q I H F
11 H I Q O L P L O Q I H F
15 H I Q O Q I H F
11 H I Q S Q I H F
11 H I Q S R S Q I H F
12 H I Q S R T R S Q I H F
9 H I Q I H F
11 H I H F
12 H J A B F
9 H J A J H G E F
11 H J K J H G E F
12 H J G D G J H F
10 H J G J H F
11 H J H F
11 H J H G E F


SOURCE F TO DESTINATION I:
FREQUENCY PATH
14 I B A B F
13 I B L B F
1 I B L N F
10 I B L P R N F
11 I B C D C H F
12 I B C D J K J G H F
10 I B C D J G H F
14 I B C H F
34 I B F
11 I B F H C E C H F
9 I B F H C H F
21 I B F H F
9 I B F H G H F
10 I B F H J G D G J H F
9 I B F H J G J H F
10 I B F H J H F
13 I B I H F
11 I K I B F
9 I K I F
15 I K I H F
10 I K J K I H F
12 I K J H G E F
1 I Q L B F
11 I Q N L M L N F
10 I Q N L M S M L N F
9 I Q N L N F
12 I Q N L P L N F
11 I Q N L P R P L N F
9 I Q N Q I B F
8 I Q N R N Q I B F
11 I Q N R N F
13 I Q N R P R N Q I B F
12 I Q N R S R N Q I B F
36 I Q N F
11 I Q O L M L O Q I H F
8 I Q O L N F
14 I Q O L O Q I B F
11 I Q O L O Q I H F
10 I Q O L P L O Q I H F
11 I Q O M O Q I B F
11 I Q O Q N F
13 I Q O Q I B F
13 I Q O Q I H F
11 I Q O T O Q N F
11 I Q S Q I H F
11 I Q S R S Q I H F
12 I Q S R T R S Q I H F
13 I Q S T O M P R N F
35 I Q S T O N F
8 I Q T Q I B F
25 I Q I B F
9 I Q I H F
11 I E A E H F
9 I E C E F
11 I E F
11 I E G D G E F
9 I E G E F
13 I E G H G E F
9 I E G H J A J H G E F
12 I E G H J H G E F
10 I E H F
10 I F B F
12 I F N O M O N F
12 I F N O M P L P M O N F
12 I F N O M P L Q L P M O N F
10 I F N O M P M O N F
13 I F N O M P T P M O N F
9 I F N O M P T R T P M O N F
11 I F N O M P T S T P M O N F
13 I F N O N F
16 I F N F
10 I F C F
9 I F C H C F
14 I F E A E F
10 I F E D E F
7 I F E F
13 I F E G E F
10 I F E G J G E F
1 I H E A B F
12 I H E A E H F
11 I H E C D C E H F
10 I H E C E H F
10 I H E H F
11 I H F
11 I H G H F


SOURCE F TO DESTINATION J:
FREQUENCY PATH
13 J A B F
14 J A E F
11 J A E H F
8 J A J H G E F
14 J K I B I H F
12 J K I Q O L M L O Q I H F
10 J K I Q O L N F
10 J K I Q O L O Q I H F
10 J K I Q O L P L O Q I H F
13 J K I Q O Q I H F
9 J K I Q S Q I H F
12 J K I Q S R S Q I H F
10 J K I Q S R T R S Q I H F
11 J K I Q I H F
8 J K I F
11 J K I H E A E H F
10 J K I H E C D C E H F
10 J K I H E C E H F
9 J K I H E H F
36 J K I H F
12 J K I H G H F
11 J K J G H F
13 J K J H G E F
13 J D C B L B F
10 J D C B L M P R N F
11 J D C B L P R N F
10 J D C B F
9 J D C B I B F
11 J D C B I Q N R N F
10 J D C B I Q N F
34 J D C B I Q S T O N F
10 J D C B I Q I B F
27 J D C H F
1 J D E H E A B F
11 J D E H F
10 J G D G J H F
1 J G E C B F
10 J G E D E F
19 J G E F
10 J G E F B F
12 J G E F N O M O N F
12 J G E F N O M P L P M O N F
12 J G E F N O M P L Q L P M O N F
10 J G E F N O M P M O N F
12 J G E F N O M P T P M O N F
9 J G E F N O M P T R T P M O N F
11 J G E F N O M P T S T P M O N F
14 J G E F N O N F
17 J G E F N F
10 J G E F I F
1 J G E H I Q L B F
20 J G H C F
21 J G H F
1 J G H I B L N F
10 J G J H F
12 J H K I B F
12 J H C E C H F
8 J H C H F
11 J H F
11 J H F B F
12 J H F B I B F
10 J H F B I Q N Q I B F
8 J H F B I Q N R N Q I B F
12 J H F B I Q N R P R N Q I B F
13 J H F B I Q N R S R N Q I B F
14 J H F B I Q O L O Q I B F
11 J H F B I Q O M O Q I B F
11 J H F B I Q O Q I B F
8 J H F B I Q T Q I B F
13 J H F B I Q I B F
11 J H G D G E F
9 J H G E C E F
34 J H G E F
12 J H G E F B F
10 J H G E F N L M L N F
9 J H G E F N L M S M L N F
11 J H G E F N L N F
15 J H G E F N L P L N F
9 J H G E F N L P R P L N F
10 J H G E F N Q N F
12 J H G E F N Q O Q N F
11 J H G E F N Q O T O Q N F
13 J H G E F N F
12 J H G E I E F


SOURCE F TO DESTINATION K:
FREQUENCY PATH
1 K G E C B F
13 K H C A E F
10 K H C E C H F
19 K H C F
9 K H C H F
1 K H E A B F
10 K H F
12 K H G E F
9 K H J G D G J H F
9 K H J G J H F
13 K H J H F
13 K I B A B F
1 K I B L N F
25 K I B F
14 K I B I H F
1 K I Q L B F
10 K I Q N L M L N F
9 K I Q N L M S M L N F
10 K I Q N L N F
13 K I Q N L P L N F
10 K I Q N L P R P L N F
10 K I Q N Q I B F
8 K I Q N R N Q I B F
11 K I Q N R P R N Q I B F
12 K I Q N R S R N Q I B F
24 K I Q N F
12 K I Q O L M L O Q I H F
8 K I Q O L N F
15 K I Q O L O Q I B F
12 K I Q O L O Q I H F
10 K I Q O L P L O Q I H F
11 K I Q O M O Q I B F
12 K I Q O Q N F
13 K I Q O Q I B F
13 K I Q O Q I H F
12 K I Q O T O Q N F
9 K I Q S Q I H F
12 K I Q S R S Q I H F
11 K I Q S R T R S Q I H F
8 K I Q T Q I B F
13 K I Q I B F
11 K I Q I H F
12 K I E F
9 K I F
10 K I F B F
12 K I F N O M O N F
12 K I F N O M P L P M O N F
12 K I F N O M P L Q L P M O N F
10 K I F N O M P M O N F
13 K I F N O M P T P M O N F
10 K I F N O M P T R T P M O N F
11 K I F N O M P T S T P M O N F
13 K I F N O N F
17 K I F N F
10 K I F E D E F
7 K I F E F
12 K I H E A E H F
10 K I H E C D C E H F
10 K I H E C E H F
12 K I H E H F
23 K I H F
10 K I H G H F
11 K J A E H F
8 K J A J H G E F
10 K J K I H F
14 K J D C B L B F
9 K J D C B L M P R N F
11 K J D C B L P R N F
12 K J D C B F
9 K J D C B I B F
11 K J D C B I Q N R N F
9 K J D C B I Q N F
32 K J D C B I Q S T O N F
10 K J D C B I Q I B F
25 K J D C H F
12 K J D E H F
10 K J G E F
34 K J G H F
11 K J H G D G E F
10 K J H G E C E F
46 K J H G E F
12 K J H G E F B F


SOURCE F TO DESTINATION L:
FREQUENCY PATH
1 L B A E H E A B F
8 L B A J H G E F
10 L B C D C H F
11 L B C D J K J G H F
12 L B C D J G H F
10 L B C E F
14 L B C H F
35 L B F
13 L B F H F
9 L B F H G H F
8 L B I B F
11 L B I E A E H F
11 L B I E H F
13 L B I H F
9 L M L N F
12 L M L O Q I H F
10 L M P R N F
9 L M S M L N F
10 L N Q N F
13 L N Q O Q N F
11 L N Q I K J H G E F
12 L N Q I E F
22 L N F
12 L N F E F
14 L N F E G D G E F
12 L N F E G E F
10 L N F E G H G E F
11 L N F E G H J H G E F
10 L O M O Q I B F
10 L O N Q I B F
9 L O N R N Q I B F
13 L O N R P R N Q I B F
12 L O N R S R N Q I B F
9 L O N F
10 L O Q S Q I H F
13 L O Q I B A B F
55 L O Q I B F
9 L O Q I B F H C E C H F
9 L O Q I B F H C H F
11 L O Q I B F H F
9 L O Q I B F H J G D G J H F
9 L O Q I B F H J G J H F
11 L O Q I B F H J H F
12 L O Q I K I B F
14 L O Q I K I H F
9 L O Q I K J K I H F
11 L O Q I H E A E H F
10 L O Q I H E C D C E H F
10 L O Q I H E C E H F
12 L O Q I H E H F
47 L O Q I H F
10 L O Q I H G H F
15 L O T O N F
7 L O T Q I B F
12 L O T S Q I B F
12 L O T S T O N F
15 L P L N F
11 L P L O Q I H F
53 L P M O N F
10 L P M O N F C F
9 L P M O N F C H C F
14 L P M O N F E A E F
10 L P M O N F E D E F
7 L P M O N F E F
14 L P M O N F E G E F
11 L P M O N F E G J G E F
7 L P M O N F I K I F
9 L P M O N F I F
1 L P M O N F I H G E F
11 L P R N F
8 L P R P L N F
12 L P T O Q N F
12 L P T P M O N F
9 L P T R T P M O N F
11 L P T S T P M O N F
11 L Q L P M O N F
1 L Q N F
1 L Q I H E F
19 L R N F
11 L R S Q I H F
10 L R T R S Q I H F


SOURCE F TO DESTINATION M:
FREQUENCY PATH
8 M L B A J H G E F
11 M L B C D C H F
11 M L B C D J K J G H F
11 M L B C D J G H F
10 M L B C E F
14 M L B C H F
36 M L B F
8 M L B I B F
12 M L B I E A E H F
12 M L B I E H F
13 M L B I H F
12 M L N Q N F
12 M L N Q O Q N F
11 M L N Q I K J H G E F
12 M L N Q I E F
34 M L N F
11 M L N F E F
12 M L N F E G D G E F
10 M L N F E G E F
11 M L N F E G H G E F
11 M L N F E G H J H G E F
10 M L O Q S Q I H F
15 M L O Q I K I H F
9 M L O Q I K J K I H F
12 M L O Q I H E A E H F
12 M L O Q I H E C D C E H F
11 M L O Q I H E C E H F
11 M L O Q I H E H F
54 M L O Q I H F
9 M L O Q I H G H F
14 M L P L N F
11 M L P L O Q I H F
12 M L P T O Q N F
1 M O L B C H J H F
14 M O L O Q I B F
9 M O N Q I B F
39 M O N F
11 M O N F B F
10 M O N F C F
9 M O N F C H C F
14 M O N F E A E F
12 M O N F E D E F
7 M O N F E F
14 M O N F E G E F
9 M O N F E G J G E F
8 M O N F I K I F
13 M O N F I F
12 M O Q I B A B F
56 M O Q I B F
9 M O Q I B F H C E C H F
7 M O Q I B F H C H F
13 M O Q I B F H F
10 M O Q I B F H J G D G J H F
9 M O Q I B F H J G J H F
10 M O Q I B F H J H F
11 M O Q I K I B F
14 M O T O N F
10 M O T S Q I B F
12 M O T S T O N F
1 M P L N F
11 M P L P M O N F
12 M P L Q L P M O N F
8 M P M O N F
32 M P R N F
10 M P R N F H F
9 M P R N F H G H F
13 M P T P M O N F
9 M P T R T P M O N F
10 M P T S T P M O N F
8 M R N Q I B F
11 M R P R N Q I B F
12 M R S Q I H F
11 M R T R S Q I H F
9 M S M L N F
12 M S R N Q I B F
8 M S R P L N F
8 M T Q I B F
1 M T Q I H E A B F


SOURCE F TO DESTINATION N:
FREQUENCY PATH
1 N L B A B F
7 N L B A J H G E F
11 N L B F
13 N L B I H F
10 N L M L N F
13 N L M L O Q I H F
11 N L M S M L N F
9 N L N F
10 N L O Q S Q I H F
14 N L O Q I K I H F
10 N L O Q I K J K I H F
12 N L O Q I H E A E H F
12 N L O Q I H E C D C E H F
10 N L O Q I H E C E H F
10 N L O Q I H E H F
53 N L O Q I H F
9 N L O Q I H G H F
14 N L P L N F
11 N L P L O Q I H F
8 N L P R P L N F
11 N L R S Q I H F
11 N L R T R S Q I H F
1 N O L B F
14 N O L O Q I B F
10 N O M O N F
10 N O M O Q I B F
12 N O M P L P M O N F
12 N O M P L Q L P M O N F
10 N O M P M O N F
13 N O M P T P M O N F
8 N O M P T R T P M O N F
11 N O M P T S T P M O N F
1 N O M T Q I H E A B F
24 N O N F
15 N O Q I B F
13 N O T O N F
11 N O T S T O N F
12 N Q N F
12 N Q O Q N F
13 N Q O T O Q N F
13 N Q I B A B F
11 N Q I B C D C H F
11 N Q I B C D J K J G H F
10 N Q I B C D J G H F
14 N Q I B C H F
68 N Q I B F
8 N Q I B F H C E C H F
7 N Q I B F H C H F
12 N Q I B F H F
9 N Q I B F H J G D G J H F
10 N Q I B F H J G J H F
10 N Q I B F H J H F
11 N Q I K I B F
11 N Q I K J H G E F
13 N Q I E F
12 N R L B F
9 N R N Q I B F
13 N R N F
9 N R P M P R N F
11 N R P R N Q I B F
11 N R P R N F
14 N R S R N Q I B F
8 N R T Q I B F
12 N F B F
9 N F C F
12 N F C H C F
14 N F E A E F
11 N F E C E F
13 N F E D E F
19 N F E F
12 N F E G D G E F
24 N F E G E F
11 N F E G H G E F
13 N F E G H J H G E F
10 N F E G J G E F
13 N F H E A E H F
12 N F H E H F
10 N F H F
9 N F H G H F
1 N F H J H F
8 N F I K I F
10 N F I F


SOURCE F TO DESTINATION O:
FREQUENCY PATH
1 O L B C H J H F
15 O L B F
13 O L B I H F
12 O L M L O Q I H F
8 O L N F
13 O L O Q I B F
9 O L O Q I H F
12 O L P L O Q I H F
12 O L R N F
9 O M O N F
9 O M O Q I B F
13 O M P L P M O N F
12 O M P L Q L P M O N F
10 O M P M O N F
11 O M P R N F
14 O M P T P M O N F
10 O M P T R T P M O N F
10 O M P T S T P M O N F
1 O M T Q I H E A B F
9 O N Q I B F
9 O N R N Q I B F
11 O N R P R N Q I B F
12 O N R S R N Q I B F
26 O N F
10 O N F B F
10 O N F C F
12 O N F C H C F
14 O N F E A E F
12 O N F E D E F
7 O N F E F
12 O N F E G E F
11 O N F E G J G E F
10 O N F H F
9 O N F H G H F
8 O N F I K I F
11 O N F I F
1 O Q L B A B F
8 O Q N L B A J H G E F
12 O Q N L B F
10 O Q N L M L N F
10 O Q N L M S M L N F
9 O Q N L N F
13 O Q N L P L N F
9 O Q N L P R P L N F
29 O Q N F
12 O Q N F E C E F
10 O Q N F E F
11 O Q N F E G D G E F
10 O Q N F E G E F
13 O Q N F E G H G E F
11 O Q N F E G H J H G E F
10 O Q S Q I H F
12 O Q S R S Q I H F
12 O Q S R T R S Q I H F
12 O Q I B A B F
41 O Q I B F
9 O Q I B F H C E C H F
8 O Q I B F H C H F
13 O Q I B F H F
11 O Q I B F H J G D G J H F
10 O Q I B F H J G J H F
9 O Q I B F H J H F
14 O Q I K I B F
13 O Q I K I H F
9 O Q I K J K I H F
10 O Q I K J H G E F
11 O Q I E F
11 O Q I H E A E H F
11 O Q I H E C D C E H F
12 O Q I H E C E H F
12 O Q I H E H F
32 O Q I H F
11 O Q I H G H F
13 O T O N F
11 O T O Q N F
10 O T P R N F
9 O T Q I B F
10 O T S Q I B C D C H F
11 O T S Q I B C D J K J G H F
11 O T S Q I B C D J G H F
12 O T S Q I B C H F
29 O T S Q I B F
14 O T S Q I E A E H F
12 O T S Q I E H F
10 O T S T O N F


SOURCE F TO DESTINATION P:
FREQUENCY PATH
1 P L B A B F
8 P L B A J H G E F
11 P L B C D C H F
11 P L B C D J K J G H F
10 P L B C D J G H F
10 P L B C E F
13 P L B C H F
1 P L B C H J H F
38 P L B F
8 P L B I B F
14 P L B I E A E H F
10 P L B I E H F
12 P L B I H F
11 P L M L N F
13 P L M L O Q I H F
11 P L M S M L N F
13 P L N Q N F
12 P L N Q O Q N F
10 P L N Q I K J H G E F
11 P L N Q I E F
33 P L N F
11 P L N F E F
13 P L N F E G D G E F
10 P L N F E G E F
12 P L N F E G H G E F
11 P L N F E G H J H G E F
9 P L O Q S Q I H F
15 P L O Q I K I H F
10 P L O Q I K J K I H F
11 P L O Q I H E A E H F
11 P L O Q I H E C D C E H F
11 P L O Q I H E C E H F
11 P L O Q I H E H F
53 P L O Q I H F
11 P L O Q I H G H F
13 P L P M O N F
12 P L Q L P M O N F
11 P L R S Q I H F
11 P L R T R S Q I H F
37 P M O N F
12 P M O N F B F
11 P M O N F C F
10 P M O N F C H C F
13 P M O N F E A E F
12 P M O N F E D E F
7 P M O N F E F
13 P M O N F E G E F
10 P M O N F E G J G E F
9 P M O N F I K I F
9 P M O N F I F
12 P M P R N F
9 P R M O Q I B F
13 P R N O L O Q I B F
14 P R N O Q I B F
17 P R N Q I B A B F
68 P R N Q I B F
9 P R N Q I B F H C E C H F
7 P R N Q I B F H C H F
12 P R N Q I B F H F
10 P R N Q I B F H J G D G J H F
9 P R N Q I B F H J G J H F
8 P R N Q I B F H J H F
12 P R N Q I K I B F
24 P R N F
11 P R N F H F
9 P R N F H G H F
9 P R P L N F
12 P R S R N Q I B F
20 P T O N F
12 P T O Q N F
13 P T P M O N F
9 P T Q I B F
1 P T Q I H E A B F
9 P T R T P M O N F
11 P T S T O N F
10 P T S T P M O N F


SOURCE F TO DESTINATION Q:
FREQUENCY PATH
1 Q L B A B F
8 Q L B F
66 Q L P M O N F
10 Q L P M O N F C F
11 Q L P M O N F C H C F
12 Q L P M O N F E A E F
11 Q L P M O N F E D E F
8 Q L P M O N F E F
12 Q L P M O N F E G E F
11 Q L P M O N F E G J G E F
9 Q L P M O N F I K I F
9 Q L P M O N F I F
14 Q L P T P M O N F
9 Q L P T R T P M O N F
10 Q L P T S T P M O N F
9 Q N L B A J H G E F
12 Q N L B F
11 Q N L M L N F
11 Q N L M S M L N F
9 Q N L N F
13 Q N L P L N F
9 Q N L P R P L N F
11 Q N Q I B F
8 Q N R N Q I B F
12 Q N R N F
11 Q N R P R N Q I B F
12 Q N R S R N Q I B F
24 Q N F
9 Q N F E C E F
10 Q N F E F
12 Q N F E G D G E F
11 Q N F E G E F
13 Q N F E G H G E F
11 Q N F E G H J H G E F
11 Q O L M L O Q I H F
10 Q O L N F
13 Q O L O Q I B F
11 Q O L O Q I H F
11 Q O L P L O Q I H F
10 Q O M O Q I B F
13 Q O Q N F
13 Q O Q I B F
11 Q O Q I H F
12 Q O T O Q N F
1 Q R P L P M O N F
10 Q S Q I H F
12 Q S R S Q I H F
12 Q S R T R S Q I H F
16 Q S T O L B F
12 Q S T O M P R N F
31 Q S T O N F
11 Q S T P R N F
9 Q T Q I B F
12 Q I B A B F
11 Q I B C D C H F
11 Q I B C D J K J G H F
11 Q I B C D J G H F
12 Q I B C H F
46 Q I B F
11 Q I B F H C E C H F
8 Q I B F H C H F
22 Q I B F H F
8 Q I B F H G H F
11 Q I B F H J G D G J H F
12 Q I B F H J G J H F
9 Q I B F H J H F
12 Q I B I H F
11 Q I K I B F
15 Q I K I H F
10 Q I K J K I H F
9 Q I K J H G E F
15 Q I E A E H F
1 Q I E A J H F
11 Q I E F
9 Q I E H F
1 Q I H E A B F
12 Q I H E A E H F
11 Q I H E C D C E H F
12 Q I H E C E H F
9 Q I H E H F
19 Q I H F
11 Q I H G H F


SOURCE F TO DESTINATION R:
FREQUENCY PATH
15 R L B F
12 R L B I H F
11 R L N F
8 R L O N F
12 R L O Q I H F
12 R L O T O N F
9 R L O T S T O N F
10 R L P L O Q I H F
12 R M L O Q I H F
10 R M O Q I B F
1 R N L B A B F
13 R N O L O Q I B F
13 R N O Q I B F
11 R N Q I B A B F
12 R N Q I B C D C H F
11 R N Q I B C D J K J G H F
12 R N Q I B C D J G H F
11 R N Q I B C H F
80 R N Q I B F
9 R N Q I B F H C E C H F
8 R N Q I B F H C H F
11 R N Q I B F H F
9 R N Q I B F H J G D G J H F
10 R N Q I B F H J G J H F
10 R N Q I B F H J H F
12 R N Q I K I B F
10 R N F
15 R N F H E A E H F
11 R N F H E H F
12 R N F H F
9 R N F H G H F
1 R O L B F
9 R P L B A J H G E F
9 R P L B C E F
13 R P L B F
12 R P L N Q N F
12 R P L N Q O Q N F
8 R P L N Q I K J H G E F
12 R P L N Q I E F
34 R P L N F
10 R P L N F E F
13 R P L N F E G D G E F
12 R P L N F E G E F
13 R P L N F E G H G E F
10 R P L N F E G H J H G E F
1 R P L P M O N F
10 R P M P R N F
10 R P R N Q I B F
11 R P R N F
10 R P T O Q N F
22 R S M L N F
11 R S Q O Q I H F
12 R S Q I K I H F
9 R S Q I K J K I H F
12 R S Q I H E A E H F
10 R S Q I H E C D C E H F
13 R S Q I H E C E H F
10 R S Q I H E H F
43 R S Q I H F
10 R S Q I H G H F
12 R S R N Q I B F
1 R T M O L B C H J H F
11 R T P L P M O N F
10 R T P L Q L P M O N F
65 R T P M O N F
7 R T P M O N F B F
10 R T P M O N F C F
11 R T P M O N F C H C F
13 R T P M O N F E A E F
11 R T P M O N F E D E F
9 R T P M O N F E F
13 R T P M O N F E G E F
11 R T P M O N F E G J G E F
9 R T P M O N F I K I F
9 R T P M O N F I F
12 R T Q I B F
1 R T Q I H E A B F
12 R T R S Q I H F
10 R T S T P M O N F


SOURCE F TO DESTINATION S:
FREQUENCY PATH
9 S M L B A J H G E F
8 S M L B C E F
14 S M L B F
13 S M L N Q N F
13 S M L N Q O Q N F
9 S M L N Q I K J H G E F
11 S M L N Q I E F
33 S M L N F
12 S M L N F E F
13 S M L N F E G D G E F
11 S M L N F E G E F
12 S M L N F E G H G E F
12 S M L N F E G H J H G E F
11 S M L P L N F
11 S M L P T O Q N F
1 S M O L B C H J H F
9 S M O Q I B F
1 S Q L B A B F
11 S Q O L M L O Q I H F
10 S Q O L N F
10 S Q O L O Q I H F
12 S Q O L P L O Q I H F
12 S Q O Q I H F
12 S Q I B C D C H F
12 S Q I B C D J K J G H F
11 S Q I B C D J G H F
11 S Q I B C H F
28 S Q I B F
13 S Q I B I H F
12 S Q I K I H F
10 S Q I K J K I H F
14 S Q I E A E H F
10 S Q I E H F
1 S Q I H E A B F
11 S Q I H E A E H F
10 S Q I H E C D C E H F
12 S Q I H E C E H F
10 S Q I H E H F
31 S Q I H F
12 S Q I H G H F
14 S R N O L O Q I B F
13 S R N O Q I B F
13 S R N Q I B A B F
58 S R N Q I B F
9 S R N Q I B F H C E C H F
9 S R N Q I B F H C H F
11 S R N Q I B F H F
9 S R N Q I B F H J G D G J H F
10 S R N Q I B F H J G J H F
9 S R N Q I B F H J H F
13 S R N Q I K I B F
7 S R P L N F
1 S R P L P M O N F
10 S R P R N Q I B F
13 S R S Q I H F
10 S R T R S Q I H F
1 S T M L B F
16 S T O L B F
12 S T O L R N F
9 S T O M P R N F
33 S T O N F
12 S T O N F H F
8 S T O N F H G H F
10 S T P L P M O N F
10 S T P L Q L P M O N F
64 S T P M O N F
10 S T P M O N F B F
9 S T P M O N F C F
13 S T P M O N F C H C F
12 S T P M O N F E A E F
12 S T P M O N F E D E F
8 S T P M O N F E F
12 S T P M O N F E G E F
11 S T P M O N F E G J G E F
9 S T P M O N F I K I F
10 S T P M O N F I F
11 S T P R N F
12 S T Q I B F
9 S T R T P M O N F


SOURCE F TO DESTINATION T:
FREQUENCY PATH
1 T M L B F
1 T M O L B C H J H F
11 T M O Q I B F
1 T M P L P M O N F
14 T O L B F
13 T O L O Q I B F
13 T O L R N F
10 T O M P R N F
10 T O N Q I B F
19 T O N F
11 T O N F H F
8 T O N F H G H F
40 T O Q N F
8 T O Q N F E C E F
11 T O Q N F E F
13 T O Q N F E G D G E F
12 T O Q N F E G E F
11 T O Q N F E G H G E F
10 T O Q N F E G H J H G E F
14 T O Q I B F
9 T O Q I K J H G E F
12 T O Q I E F
9 T P L B A J H G E F
14 T P L B F
10 T P L M L N F
11 T P L M S M L N F
22 T P L N F
10 T P L P M O N F
10 T P L Q L P M O N F
51 T P M O N F
9 T P M O N F B F
9 T P M O N F C F
11 T P M O N F C H C F
14 T P M O N F E A E F
12 T P M O N F E D E F
10 T P M O N F E F
13 T P M O N F E G E F
11 T P M O N F E G J G E F
9 T P M O N F I K I F
10 T P M O N F I F
11 T P R N Q I B F
11 T P R N F
7 T P R P L N F
1 T Q L B A B F
12 T Q I B A B F
38 T Q I B F
10 T Q I B F H C E C H F
8 T Q I B F H C H F
11 T Q I B F H F
9 T Q I B F H J G D G J H F
10 T Q I B F H J G J H F
9 T Q I B F H J H F
11 T Q I K I B F
1 T Q I H E A B F
13 T R L B I H F
10 T R L N F
10 T R L O Q I H F
11 T R L P L O Q I H F
12 T R M L O Q I H F
9 T R N Q I B F
13 T R S Q O Q I H F
13 T R S Q I K I H F
10 T R S Q I K J K I H F
10 T R S Q I H E A E H F
10 T R S Q I H E C D C E H F
13 T R S Q I H E C E H F
9 T R S Q I H E H F
53 T R S Q I H F
12 T R S Q I H G H F
9 T R T P M O N F
12 T S Q I B C D C H F
12 T S Q I B C D J K J G H F
11 T S Q I B C D J G H F
11 T S Q I B C H F
30 T S Q I B F
16 T S Q I E A E H F
11 T S Q I E H F
13 T S R N Q I B F
10 T S T O N F
11 T S T P M O N F


SOURCE P TO DESTINATION Q:
FREQUENCY PATH
12 Q L B F N O M P
13 Q L P
12 Q L P M O M P
8 Q L P M O N O M P
12 Q L P M O N F N O M P
7 Q L P M O N F C F N O M P
10 Q L P M O N F C H C F N O M P
10 Q L P M O N F E A E F N O M P
11 Q L P M O N F E D E F N O M P
14 Q L P M O N F E F N O M P
11 Q L P M O N F E G E F N O M P
10 Q L P M O N F E G J G E F N O M P
13 Q L P M O N F I K I F N O M P
9 Q L P M O N F I F N O M P
14 Q L P M P
11 Q L P T P
10 Q L P T R T P
12 Q L P T S T P
11 Q N L B A B L P
12 Q N L B L P
13 Q N L M L P
12 Q N L M S M L P
15 Q N L P
12 Q N L P R P
43 Q N R P
10 Q N R S R P
1 Q N F N L M R P
12 Q N F N L P
9 Q N F E C B L P
13 Q N F E F N L P
10 Q N F E G D G E F N L P
14 Q N F E G E F N L P
12 Q N F E G H G E F N L P
11 Q N F E G H J H G E F N L P
11 Q O L M L P
9 Q O L N L P
11 Q O L O N R P
25 Q O L P
13 Q O M R P
12 Q O N R P
12 Q O Q N L P
9 Q O T P
9 Q S Q O L P
13 Q S R L P
11 Q S R T R L P
9 Q S T O L P
10 Q S T O M P
14 Q S T O T P
21 Q S T P
12 Q T P
10 Q I B A B I Q N R P
38 Q I B L P
9 Q I B C B L P
12 Q I B C D C B L P
13 Q I B C D J K J D C B L P
11 Q I B C D J D C B L P
12 Q I B F B I Q N R P
8 Q I B F N R P
11 Q I B F H C E C H F B I Q N R P
9 Q I B F H C H F B I Q N R P
9 Q I B F H F B I Q N R P
12 Q I B F H F N R P
10 Q I B F H G H F N R P
13 Q I B F H J G D G J H F B I Q N R P
14 Q I B F H J G J H F B I Q N R P
12 Q I B F H J H F B I Q N R P
12 Q I B I Q N R P
11 Q I K I Q N L P
10 Q I K I Q N R P
9 Q I K I Q O L P
12 Q I K J K I Q O L P
1 Q I Q L O P
12 Q I Q N L P
10 Q I Q N R P
11 Q I Q O L P
11 Q I E A E I B L P
12 Q I E I B L P
9 Q I H E A E H I Q O L P
10 Q I H E C D C E H I Q O L P
14 Q I H E C E H I Q O L P
8 Q I H E H I Q O L P
12 Q I H F H I Q O L P
11 Q I H G H I Q O L P
12 Q I H I Q O L P


SOURCE P TO DESTINATION R:
FREQUENCY PATH
14 R L B L P
9 R L N L P
24 R L O T P
10 R L O T S T P
20 R L P
1 R M L N F N L M R P
12 R M L P
14 R M R P
9 R N O L O N R P
13 R N O N R P
10 R N Q N R P
12 R N Q S T P
10 R N Q I B A B I Q N R P
28 R N Q I B L P
9 R N Q I B C B L P
11 R N Q I B C D C B L P
12 R N Q I B C D J K J D C B L P
9 R N Q I B C D J D C B L P
14 R N Q I B F B I Q N R P
11 R N Q I B F H C E C H F B I Q N R P
9 R N Q I B F H C H F B I Q N R P
9 R N Q I B F H F B I Q N R P
13 R N Q I B F H J G D G J H F B I Q N R P
12 R N Q I B F H J G J H F B I Q N R P
13 R N Q I B F H J H F B I Q N R P
11 R N Q I B I Q N R P
10 R N Q I K I Q N R P
10 R N Q I Q N R P
21 R N R P
8 R N F N R P
12 R N F H E A E I B L P
12 R N F H E I B L P
12 R N F H F N R P
10 R N F H G H F N R P
1 R O L Q I Q L O P
14 R P L B A B L P
12 R P L B L P
9 R P L B C B L P
10 R P L N L P
8 R P L N Q N L P
11 R P L N Q O Q N L P
12 R P L N Q I K I Q N L P
11 R P L N Q I Q N L P
12 R P L N F N L P
13 R P L N F E F N L P
11 R P L N F E G D G E F N L P
12 R P L N F E G E F N L P
11 R P L N F E G H G E F N L P
10 R P L N F E G H J H G E F N L P
7 R P L P
10 R P M P
10 R P T P
27 R S M L P
35 R S Q O L P
11 R S Q I K I Q O L P
9 R S Q I K J K I Q O L P
12 R S Q I Q O L P
10 R S Q I H E A E H I Q O L P
10 R S Q I H E C D C E H I Q O L P
12 R S Q I H E C E H I Q O L P
9 R S Q I H E H I Q O L P
11 R S Q I H F H I Q O L P
11 R S Q I H G H I Q O L P
11 R S Q I H I Q O L P
11 R S R P
25 R T P
11 R T P L P
12 R T P L Q L P
11 R T P M O M P
9 R T P M O N O M P
12 R T P M O N F B F N O M P
12 R T P M O N F N O M P
6 R T P M O N F C F N O M P
10 R T P M O N F C H C F N O M P
11 R T P M O N F E A E F N O M P
10 R T P M O N F E D E F N O M P
13 R T P M O N F E F N O M P
11 R T P M O N F E G E F N O M P
10 R T P M O N F E G J G E F N O M P
14 R T P M O N F I K I F N O M P
9 R T P M O N F I F N O M P
13 R T P M P
12 R T R L P
12 R T S T P


SOURCE P TO DESTINATION S:
FREQUENCY PATH
13 S M L B A B L P
11 S M L B L P
8 S M L B C B L P
9 S M L N L P
8 S M L N Q N L P
12 S M L N Q O Q N L P
13 S M L N Q I K I Q N L P
11 S M L N Q I Q N L P
13 S M L N F N L P
13 S M L N F E F N L P
11 S M L N F E G D G E F N L P
12 S M L N F E G E F N L P
12 S M L N F E G H G E F N L P
10 S M L N F E G H J H G E F N L P
23 S M L P
11 S M L P T P
15 S M R P
12 S Q O L M L P
10 S Q O L N L P
37 S Q O L P
11 S Q S T P
39 S Q I B L P
9 S Q I B C B L P
11 S Q I B C D C B L P
12 S Q I B C D J K J D C B L P
9 S Q I B C D J D C B L P
10 S Q I K I Q O L P
9 S Q I K J K I Q O L P
1 S Q I Q L O P
11 S Q I Q O L P
12 S Q I E A E I B L P
12 S Q I E I B L P
9 S Q I H E A E H I Q O L P
13 S Q I H E C D C E H I Q O L P
12 S Q I H E C E H I Q O L P
8 S Q I H E H I Q O L P
11 S Q I H F H I Q O L P
9 S Q I H G H I Q O L P
11 S Q I H I Q O L P
11 S R L P
1 S R M L N F N L M R P
11 S R N O L O N R P
11 S R N O N R P
9 S R N Q N R P
11 S R N Q I B A B I Q N R P
12 S R N Q I B F B I Q N R P
11 S R N Q I B F H C E C H F B I Q N R P
9 S R N Q I B F H C H F B I Q N R P
8 S R N Q I B F H F B I Q N R P
13 S R N Q I B F H J G D G J H F B I Q N R P
13 S R N Q I B F H J G J H F B I Q N R P
13 S R N Q I B F H J H F B I Q N R P
11 S R N Q I B I Q N R P
12 S R N Q I K I Q N R P
10 S R N Q I Q N R P
9 S R N R P
20 S R P
13 S R T R L P
9 S T O L P
11 S T O L R P
10 S T O M P
12 S T O N R P
8 S T O N F N R P
13 S T O N F H F N R P
11 S T O N F H G H F N R P
11 S T O T P
36 S T P
13 S T P L P
12 S T P L Q L P
11 S T P M O M P
10 S T P M O N O M P
12 S T P M O N F B F N O M P
11 S T P M O N F N O M P
7 S T P M O N F C F N O M P
11 S T P M O N F C H C F N O M P
12 S T P M O N F E A E F N O M P
11 S T P M O N F E D E F N O M P
11 S T P M O N F E F N O M P
12 S T P M O N F E G E F N O M P
8 S T P M O N F E G J G E F N O M P
14 S T P M O N F I K I F N O M P
10 S T P M O N F I F N O M P
14 S T P M P
9 S T R T P


SOURCE P TO DESTINATION T:
FREQUENCY PATH
14 T M R P
10 T O L O N R P
9 T O L P
11 T O L R P
11 T O M P
34 T O N R P
9 T O N F N R P
12 T O N F H F N R P
12 T O N F H G H F N R P
29 T O Q N L P
11 T O Q N F N L P
9 T O Q N F E C B L P
14 T O Q N F E F N L P
12 T O Q N F E G D G E F N L P
12 T O Q N F E G E F N L P
11 T O Q N F E G H G E F N L P
10 T O Q N F E G H J H G E F N L P
11 T O Q I K I Q N L P
11 T O Q I Q N L P
11 T O T P
11 T P L B A B L P
12 T P L B L P
14 T P L M L P
14 T P L M S M L P
20 T P L P
12 T P L Q L P
12 T P M O M P
10 T P M O N O M P
13 T P M O N F B F N O M P
11 T P M O N F N O M P
7 T P M O N F C F N O M P
11 T P M O N F C H C F N O M P
12 T P M O N F E A E F N O M P
10 T P M O N F E D E F N O M P
12 T P M O N F E F N O M P
12 T P M O N F E G E F N O M P
8 T P M O N F E G J G E F N O M P
14 T P M O N F I K I F N O M P
10 T P M O N F I F N O M P
12 T P M P
11 T P R P
8 T Q N R P
11 T Q I B A B I Q N R P
11 T Q I B F B I Q N R P
12 T Q I B F H C E C H F B I Q N R P
9 T Q I B F H C H F B I Q N R P
9 T Q I B F H F B I Q N R P
15 T Q I B F H J G D G J H F B I Q N R P
14 T Q I B F H J G J H F B I Q N R P
13 T Q I B F H J H F B I Q N R P
10 T Q I B I Q N R P
10 T Q I K I Q N R P
11 T Q I Q N R P
12 T R L B L P
8 T R L N L P
23 T R L P
14 T R M L P
1 T R O L Q I Q L O P
11 T R P
37 T R S Q O L P
10 T R S Q I K I Q O L P
10 T R S Q I K J K I Q O L P
11 T R S Q I Q O L P
10 T R S Q I H E A E H I Q O L P
12 T R S Q I H E C D C E H I Q O L P
11 T R S Q I H E C E H I Q O L P
8 T R S Q I H E H I Q O L P
11 T R S Q I H F H I Q O L P
11 T R S Q I H G H I Q O L P
11 T R S Q I H I Q O L P
10 T R T P
12 T S Q S T P
26 T S Q I B L P
8 T S Q I B C B L P
11 T S Q I B C D C B L P
11 T S Q I B C D J K J D C B L P
10 T S Q I B C D J D C B L P
13 T S Q I E A E I B L P
12 T S Q I E I B L P
1 T S R M L N F N L M R P
10 T S R P
21 T S T P






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