Results of the Intermediate Node Algorithm on a Clique

The following graph is a clique. The figure below is a 6 node clique to illustrate the topology of a clique. Although not shown here, our experimentation utilized a 20 node clique.

The two following bar charts are loaded with information, so take your time reading them.

Along the x-axis, we have all possible source-destination pairs. We can omit all permutations since order does not matter. For example, we don't need both A to B and B to A.
Along the y-axis, is the frequency that a given edge (as denoted in the legend at the bottom) was traversed for a given source and destination.

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 1000 times.

Since a 20 node clique has many edges (190), we needed to separate the following data into two bar charts.

The following tables display the results obtained from 1000 executions where A is the source with every possible destination node. Each table shows the number of times a given path was selected for a source to communicate with a destination node. 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 A TO DESTINATION B:

FREQUENCY	PATH
12	B K A
9	B K A O A
11	B K A O C O A
11	B K A O H O A
21	B K N R O P F Q F J A
9	B K N R O P F G M G F J A
18	B K N R O P F G T J A
12	B K N R O P F G E L E G F J A
11	B K N R O P F G E G F J A
6	B K N R O P F G F J A
10	B K N R O P F G I C I J A
9	B K N R O P F G I J A
22	B K N R O P F J A
16	B K N R O J A
36	B K N R J A
8	B K Q K A
9	B L K R H E A
11	B M B K A
5	B M Q A
11	B O A
9	B O A J A
13	B Q S P A
31	B Q G J A
14	B Q G J A P A
13	B Q G J A E A
15	B Q G J A E I O I E A
14	B Q G J A E I E A
11	B Q G J N J A
1	B R I E A
13	B S B K A
9	B S P G F T Q A
11	B S R S B K A
9	B S R E R S B K A
10	B S R F R S B K A
12	B S R F I F R S B K A
11	B T B K A
13	B T N P K A
10	B T N P L P K A
26	B T N D J B K A
13	B T J A
1	B C N G P F A
1	B C O H D H O C B A
5	B D B Q G J A
36	B D K P R A
13	B D K P R F R A
7	B D K P R G R A
12	B D K P S L S P R A
8	B D K P S L I L S P R A
11	B D K P S L I N I L S P R A
10	B D K P S M S P R A
18	B D K P S P R A
14	B D K P S C Q C S P R A
15	B D K P S C S P R A
12	B D K P H P R A
12	B D N P G F T Q A
12	B D R H Q A
10	B D E N I L S P R A
12	B E P L H Q A
13	B E P O K A
8	B E P G K A
12	B E P G K C A
21	B E P G F R H Q A
13	B E P G F R I R H Q A
14	B E P G F R J T Q A
68	B E P G F T Q A
9	B F C A
9	B F C H R K R H E A
11	B F C H R H E A
14	B F C H T M T E A
11	B F C H T E A
11	B F C H E A
1	B F D N D F T A
9	B F E A
1	B G I N P E F J L R L J F E P N I G B A
5	B J A
11	B J B K A
13	B J D S D J A
5	B J D J A
11	B J G A
6	B J H J A

SOURCE A TO DESTINATION C:

FREQUENCY	PATH
14	C A P A
12	C A P S P A
12	C A Q A
13	C A Q T Q A
13	C A Q T J T Q A
14	C A E A
14	C A E I O I E A
13	C A E I E A
12	C A J A
10	C A J N J A
10	C A J G Q G J A
7	C A J G J A
8	C K A
13	C K N P G F T Q A
13	C K O K A
12	C K R D R H Q A
21	C K R H Q A
12	C K R I R H Q A
13	C K G P L H Q A
9	C K G P S P G F T Q A
10	C K G P E B E P G F T Q A
12	C K G P E P G F T Q A
9	C K G P G F T Q A
22	C K G F T Q A
12	C L S P R A
7	C L I L S P R A
10	C L I N E N I L S P R A
11	C L I N I L S P R A
11	C L I T J A
13	C M B K A
7	C M Q A
1	C N P E F J L R L J F E P N I G B A
1	C N G P F A
9	C O A
10	C O A K A
9	C O A K B K A
12	C O S B K A
11	C O H O A
1	C O H D H O C B A
14	C Q C S P R A
10	C S M S P R A
7	C S P K P R A
15	C S P K D B O A
8	C S P K D K P R A
41	C S P R A
11	C S P R A J A
11	C S P R F R A
12	C S P R G O A
8	C S P R G R A
11	C S P H P R A
1	C T F D N D F T A
13	C D N P K A
13	C D N P L P K A
9	C D N P Q K A
11	C D N T B K A
12	C D N D J B K A
23	C D J B K A
13	C F B Q G J A
5	C F B D B Q G J A
24	C F R S B K A
8	C F R E R S B K A
10	C F E A
11	C F I F R S B K A
11	C G A
9	C H R K L K R H E A
8	C H R K R H E A
12	C H R H E A
14	C H T M T E A
13	C H T E A
10	C H E A
12	C I L S D J A
14	C I L E G F J A
18	C I T J A
10	C I G M G F J A
10	C I G E G F J A
11	C I G F P O R N K B J A
8	C I G F P O R N K N R J A
13	C I G F P O R N R J A
13	C I G F P O R J A
16	C I G F P O J A
11	C I G F P F J A
22	C I G F Q F J A
14	C I G F J A
15	C I J A
5	C I J D J A
7	C I J H J A

SOURCE A TO DESTINATION D:

FREQUENCY	PATH
6	D B M Q A
24	D B O A
43	D B Q G J A
14	D B Q G J A P A
13	D B Q G J A E A
13	D B Q G J A E I O I E A
12	D B Q G J A E I E A
11	D B Q G J N J A
10	D B S P G F T Q A
13	D B E P O K A
54	D B E P G F T Q A
8	D B F C A
8	D B F C H R K R H E A
11	D B F C H R H E A
13	D B F C H T M T E A
11	D B F C H T E A
10	D B F C H E A
9	D B F E A
28	D K P R A
9	D K P R A J A
12	D K P R F R A
8	D K P R G R A
13	D K P S L S P R A
8	D K P S L I L S P R A
12	D K P S L I N I L S P R A
9	D K P S M S P R A
17	D K P S P R A
14	D K P S C Q C S P R A
13	D K P S C S P R A
11	D K P H P R A
10	D L K R H E A
13	D N P K A
10	D N P L P K A
10	D N P Q K A
12	D N P Q M B K A
11	D N P G F T Q A
10	D N T B K A
11	D N T G A
1	D N D F T A
14	D N D J B K A
14	D N I F R S B K A
21	D O P F Q F J A
9	D O P F G M G F J A
16	D O P F G T J A
13	D O P F G E L E G F J A
10	D O P F G E G F J A
5	D O P F G F J A
11	D O P F G I C I J A
8	D O P F G I J A
20	D O P F J A
8	D O R N K N R J A
14	D O R N R J A
14	D O R J A
15	D O J A
9	D R K A
12	D R K C A
14	D R L H Q A
34	D R H Q A
13	D R H Q T Q A
10	D R I R H Q A
13	D R J T Q A
1	D S M F J L R L J F E P N I G B A
13	D S P A
1	D S P F A
12	D S D J A
11	D T J A
1	D C A E A
21	D C O A
11	D C O H O A
23	D C F R S B K A
8	D C F R E R S B K A
10	D E N I L S P R A
1	D H O C B A E A
5	D J A
30	D J B K A
12	D J B S B K A
11	D J B J A
7	D J H J A

SOURCE A TO DESTINATION E:

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

SOURCE A TO DESTINATION F:

FREQUENCY	PATH
43	F B Q G J A
9	F B Q G J N J A
5	F B D B Q G J A
12	F P O R N K B J A
8	F P O R N K N R J A
15	F P O R N R J A
14	F P O R J A
15	F P O J A
1	F P S O H O S P F A
13	F P F J A
1	F Q D C A E A
20	F Q F J A
11	F R A
9	F R A J A
8	F R P K P R A
8	F R P K D K P R A
12	F R P R A
14	F R P S L S P R A
8	F R P S L I L S P R A
12	F R P S L I N E N I L S P R A
10	F R P S L I N I L S P R A
10	F R P S L I T J A
10	F R P S M S P R A
18	F R P S P R A
13	F R P S C Q C S P R A
15	F R P S C S P R A
10	F R P H P R A
41	F R S B K A
9	F R S B K Q K A
11	F R S B M B K A
9	F R D R H Q A
8	F R E R S B K A
11	F R G O A
13	F R G O B O A
7	F R G R A
23	F R H Q A
9	F R I R H Q A
12	F R J B K A
13	F R J T Q A
26	F T Q A
12	F T Q A C A
6	F T Q M Q A
9	F C A
22	F C O A
9	F C O H O A
11	F C D N P K A
12	F C D N P L P K A
10	F C D N T B K A
15	F C D N D J B K A
14	F C D J B K A
12	F C H R K L K R H E A
10	F C H R K R H E A
12	F C H R H E A
13	F C H T M T E A
11	F C H T E A
9	F C H E A
1	F D N D F T A
12	F E A
15	F E A P A
14	F E A P S P A
13	F E I O I E A
12	F E I E A
12	F G A
8	F G K A
10	F G M G F J A
13	F G P L H Q A
12	F G P N P G F T Q A
14	F G P O K A
12	F G P S P G F T Q A
11	F G P E B E P G F T Q A
12	F G P E P G F T Q A
10	F G P G F T Q A
14	F G T J A
13	F G E L S D J A
12	F G E L E G F J A
9	F G E G F J A
9	F G F T Q A
5	F G F J A
12	F G I C I J A
8	F G I J A
8	F H J A
1	F I Q O H D H O C B A
13	F I F R S B K A
5	F J A
1	F J L R L J F E P N I G B A
6	F J D J A

SOURCE A TO DESTINATION G:

FREQUENCY	PATH
7	G A K A
13	G A K B K A
12	G A K B M B K A
12	G A K B S B K A
10	G A K Q K A
1	G B C O H D H O C B A
8	G K A
12	G K C A
11	G M G F J A
1	G N O C A E A
1	G N D F T A
14	G O A
13	G O B O A
14	G P L H Q A
12	G P N P G F T Q A
14	G P O K A
10	G P S P G F T Q A
10	G P E B E P G F T Q A
11	G P E P G F T Q A
1	G P F A
8	G P G F T Q A
14	G Q B Q G J A
6	G Q B D B Q G J A
11	G Q G J A
10	G R A
9	G R A J A
8	G R P K P R A
8	G R P K D K P R A
12	G R P R A
13	G R P S L S P R A
7	G R P S L I L S P R A
10	G R P S L I N E N I L S P R A
9	G R P S L I N I L S P R A
11	G R P S L I T J A
9	G R P S M S P R A
19	G R P S P R A
13	G R P S C Q C S P R A
13	G R P S C S P R A
10	G R P H P R A
11	G R F R A
9	G T B K A
10	G T N P K A
13	G T N P L P K A
26	G T N D J B K A
12	G T J A
23	G C O A
10	G C O H O A
13	G E L S D J A
12	G E L E G F J A
9	G E G F J A
12	G F P O R N K B J A
9	G F P O R N K N R J A
15	G F P O R N R J A
14	G F P O R J A
15	G F P O J A
13	G F P F J A
20	G F Q F J A
23	G F R S B K A
12	G F R D R H Q A
8	G F R E R S B K A
21	G F R H Q A
9	G F R I R H Q A
14	G F R J T Q A
38	G F T Q A
6	G F T Q M Q A
7	G F H J A
12	G F I F R S B K A
14	G F J A
4	G F J D J A
1	G I N P E F J L R L J F E P N I G B A
11	G I C I J A
8	G I J A
10	G J A
14	G J A P A
13	G J A P S P A
7	G J A C A
9	G J A C F E A
14	G J A E A
14	G J A E T M T E A
11	G J A E T E A
11	G J A E H R K L K R H E A
11	G J A E H R K R H E A
12	G J A E H R H E A
9	G J A E H E A
13	G J A E I O I E A
11	G J A E I E A
11	G J B K A
9	G J N J A

SOURCE A TO DESTINATION H:

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

SOURCE A TO DESTINATION I:

FREQUENCY	PATH
12	I L S M S P R A
8	I L S P K P R A
13	I L S P K D B O A
7	I L S P K D K P R A
53	I L S P R A
10	I L S P R A J A
12	I L S P R F R A
10	I L S P R G O A
7	I L S P R G R A
10	I L S P H P R A
13	I L S D J A
12	I L C Q C S P R A
12	I L C S P R A
11	I L E G F J A
10	I N P K A
12	I N P L P K A
12	I N P Q K A
1	I N P E F J L R L J F E P N I G B A
9	I N T B K A
1	I N D F T A
35	I N D J B K A
12	I N E N I L S P R A
1	I N G P F A
11	I N I L S P R A
1	I O C T D L A
12	I O I E A
6	I R K A
13	I R K O K A
12	I R K C A
13	I R D N P G F T Q A
12	I R D R H Q A
11	I R F T Q A
11	I R F G P S P G F T Q A
10	I R F G P E B E P G F T Q A
14	I R F G P E P G F T Q A
10	I R F G P G F T Q A
9	I R F G F T Q A
32	I R H Q A
15	I R H Q T Q A
23	I T J A
13	I C I J A
14	I E A
12	I E A P A
15	I E A P S P A
10	I E A J A
10	I E A J N J A
13	I E A J G Q B Q G J A
7	I E A J G Q B D B Q G J A
12	I E A J G Q G J A
10	I E A J G J A
13	I E T M T E A
11	I E T E A
7	I E F C A
9	I E F E A
14	I E H R K L K R H E A
10	I E H R K R H E A
12	I E H R H E A
9	I E H E A
53	I F R S B K A
13	I F R S B M B K A
8	I F R E R S B K A
23	I F C O A
12	I F C O H O A
12	I F G A
11	I G M G F J A
9	I G E G F J A
13	I G F P O R N K B J A
8	I G F P O R N K N R J A
14	I G F P O R N R J A
14	I G F P O R J A
17	I G F P O J A
13	I G F P F J A
19	I G F Q F J A
13	I G F J A
7	I J A
12	I J L H Q A
7	I J M Q A
12	I J T Q A
5	I J D J A
6	I J H J A

SOURCE A TO DESTINATION J:

FREQUENCY	PATH
10	J A O A
12	J A O B O A
11	J A P A
13	J A P S P A
11	J A R A
8	J A R P K P R A
8	J A R P K D K P R A
13	J A R P R A
13	J A R P S L S P R A
7	J A R P S L I L S P R A
13	J A R P S L I N E N I L S P R A
12	J A R P S L I N I L S P R A
18	J A R P S P R A
13	J A R P S C Q C S P R A
12	J A R P S C S P R A
10	J A R P H P R A
10	J A R F R A
8	J A R G R A
7	J A C A
10	J A C F E A
11	J A E A
14	J A E T M T E A
13	J A E T E A
13	J A E H R K L K R H E A
11	J A E H R K R H E A
10	J A E H R H E A
8	J A E H E A
14	J A E I O I E A
11	J A E I E A
21	J B K A
11	J B K Q K A
12	J B S B K A
13	J B J A
1	J L R L J F E P N I G B A
13	J L H Q A
13	J M B K A
1	J M N C T D L A
13	J M O K A
10	J M Q A
11	J M S P R A
10	J N J A
16	J O J A
1	J P F A
1	J Q D N D F T A
6	J R K A
8	J R N K N R J A
15	J R N R J A
10	J R S B K A
12	J R D N P G F T Q A
12	J R D R H Q A
8	J R E R S B K A
12	J R F R S B K A
9	J R F T Q A
10	J R F G P S P G F T Q A
13	J R F G P E B E P G F T Q A
12	J R F G P E P G F T Q A
10	J R F G P G F T Q A
11	J R F G F T Q A
13	J R F I F R S B K A
22	J R H Q A
14	J R J A
25	J T Q A
12	J T Q A C A
24	J T J A
12	J D N P K A
13	J D N P L P K A
9	J D N T B K A
11	J D N D J B K A
12	J D S D J A
22	J D C O A
11	J D C O H O A
7	J D J A
10	J D J B K A
1	J E A
13	J F P F J A
18	J F Q F J A
11	J F G M G F J A
11	J F G E L E G F J A
8	J F G E G F J A
7	J F G F J A
7	J F J A
11	J G A
11	J G Q B Q G J A
8	J G Q B D B Q G J A
14	J G Q G J A
10	J G J A
5	J H J A
9	J I R H Q A
12	J I C I J A
8	J I J A

SOURCE A TO DESTINATION K:

FREQUENCY	PATH
1	K A L D T C T D L A
12	K A O A
11	K A O C O A
9	K A O H O A
12	K A Q A
13	K A Q T Q A
11	K A G A
13	K B K A
12	K B M B K A
13	K B S B K A
10	K B S R S B K A
7	K B S R E R S B K A
11	K B S R F R S B K A
12	K B S R F I F R S B K A
12	K B J A
13	K B J B K A
13	K L K R H E A
1	K L R L J F E P N I G B A
8	K M Q A
12	K N P G F T Q A
19	K N R O P F Q F J A
12	K N R O P F G M G F J A
13	K N R O P F G T J A
12	K N R O P F G E L E G F J A
8	K N R O P F G E G F J A
6	K N R O P F G F J A
12	K N R O P F G I C I J A
7	K N R O P F G I J A
21	K N R O P F J A
16	K N R O J A
37	K N R J A
5	K N R J D J A
5	K N R J H J A
14	K O K A
1	K O S P F A
11	K P K A
13	K P L P K A
8	K P N T B K A
22	K P N D J B K A
24	K P R A
9	K P R A J A
11	K P R F R A
9	K P R G O A
8	K P R G R A
14	K P S L S P R A
7	K P S L I L S P R A
12	K P S L I N E N I L S P R A
11	K P S L I N I L S P R A
9	K P S L I T J A
13	K P S M S P R A
16	K P S P R A
14	K P S C Q C S P R A
11	K P S C S P R A
10	K P H P R A
11	K Q K A
10	K R D R H Q A
20	K R H Q A
14	K R H T M T E A
11	K R H T E A
8	K R H C A
10	K R H C F E A
31	K R H E A
11	K R H E A P A
13	K R H E A P S P A
12	K R H E A J A
10	K R H E A J N J A
11	K R H E A J G Q B Q G J A
7	K R H E A J G Q B D B Q G J A
12	K R H E A J G Q G J A
10	K R H E A J G J A
14	K R H E I O I E A
12	K R H E I E A
8	K R I R H Q A
1	K R I E A
13	K R J T Q A
14	K S D J A
12	K C A
13	K D B O A
8	K D K P R A
1	K E F D N D F T A
13	K G P L H Q A
11	K G P S P G F T Q A
11	K G P E B E P G F T Q A
13	K G P E P G F T Q A
10	K G P G F T Q A
19	K G F T Q A

SOURCE A TO DESTINATION L:

FREQUENCY	PATH
48	L B Q G J A
10	L B Q G J N J A
13	L K R H T M T E A
10	L K R H T E A
7	L K R H C A
10	L K R H C F E A
41	L K R H E A
11	L K R H E A P A
14	L K R H E A P S P A
15	L K R H E I O I E A
12	L K R H E I E A
18	L P K A
12	L P K B K A
12	L P K B S B K A
12	L P N P G F T Q A
8	L P N T B K A
13	L P N T G A
24	L P N D C O A
10	L P N D C O H O A
19	L P N D C F R S B K A
8	L P N D C F R E R S B K A
36	L P N D J B K A
13	L P N I F R S B K A
15	L P O K A
13	L P Q K A
13	L P Q M B K A
11	L P S P G F T Q A
11	L P E B E P G F T Q A
13	L P E P G F T Q A
7	L P G K A
29	L P G F T Q A
1	L Q D N D F T A
1	L R L J F E P N I G B A
11	L R D R H Q A
10	L R H Q A
11	L S M S P R A
10	L S P K P R A
13	L S P K D B O A
9	L S P K D K P R A
40	L S P R A
9	L S P R A J A
12	L S P R F R A
11	L S P R G O A
8	L S P R G R A
10	L S P H P R A
12	L S D J A
11	L C Q C S P R A
11	L C S P R A
8	L D B Q G J A
1	L D T C T D L A
1	L E A
12	L E G M G F J A
11	L E G T J A
12	L E G F P O R N K B J A
9	L E G F P O R N K N R J A
15	L E G F P O R N R J A
14	L E G F P O R J A
17	L E G F P O J A
14	L E G F P F J A
18	L E G F Q F J A
6	L E G F H J A
33	L E G F J A
5	L E G F J D J A
1	L F D F L S A
26	L H Q A
12	L H Q A C A
8	L H Q M Q A
13	L H Q T Q A
10	L I L S P R A
12	L I N E N I L S P R A
11	L I N I L S P R A
11	L I T J A
12	L I C I J A
9	L I J A
13	L J T Q A
8	L J I R H Q A

SOURCE A TO DESTINATION M:

FREQUENCY	PATH
21	M B K A
13	M B S B K A
11	M B D R H Q A
10	M B E P G F T Q A
6	M K A
1	M L F D F L S A
1	M N C T D L A
14	M O K A
13	M Q A
12	M Q K A
11	M Q P K A
14	M Q P L P K A
8	M Q P N T B K A
23	M Q P N D J B K A
12	M Q T Q A
8	M Q T F T Q A
11	M Q T F G P N P G F T Q A
13	M Q T F G P S P G F T Q A
12	M Q T F G P E P G F T Q A
8	M Q T F G P G F T Q A
11	M Q T F G F T Q A
13	M Q H Q A
10	M Q H R H Q A
15	M S L S P R A
8	M S L I L S P R A
12	M S L I N E N I L S P R A
10	M S L I N I L S P R A
11	M S L I T J A
7	M S P K P R A
12	M S P K D B O A
8	M S P K D K P R A
40	M S P R A
12	M S P R F R A
12	M S P R G O A
11	M S P R G R A
9	M S P H P R A
11	M S C Q C S P R A
12	M S C S P R A
23	M T E A
11	M T E A P A
12	M T E A P S P A
11	M T E A J A
12	M T E A J N J A
11	M T E A J G Q B Q G J A
8	M T E A J G Q B D B Q G J A
14	M T E A J G Q G J A
10	M T E A J G J A
13	M T E I O I E A
13	M T E I E A
12	M T H R K L K R H E A
8	M T H R K R H E A
14	M T H R H E A
9	M T H C A
11	M T H C F E A
7	M T H E A
12	M C A
1	M C A P G L K L G P A
24	M C O A
8	M C O H O A
1	M E A
19	M E R S B K A
10	M E R F R S B K A
12	M E R F I F R S B K A
1	M F J L R L J F E P N I G B A
11	M G T J A
12	M G E L S D J A
13	M G E L E G F J A
8	M G E G F J A
12	M G F P O R N K B J A
9	M G F P O R N K N R J A
15	M G F P O R N R J A
14	M G F P O R J A
16	M G F P O J A
13	M G F P F J A
18	M G F Q F J A
8	M G F H J A
23	M G F J A
5	M G F J D J A
12	M G I C I J A
10	M G I J A
9	M J A
13	M J B K A
14	M J L H Q A
14	M J T Q A
11	M J G A
7	M J I R H Q A

SOURCE A TO DESTINATION N:

FREQUENCY	PATH
7	N K A
12	N K B J A
9	N K N R J A
15	N K S D J A
12	N K C A
1	N O C A E A
11	N P K A
13	N P L P K A
15	N P L H Q A
16	N P O K A
12	N P Q K A
13	N P Q M B K A
12	N P S P G F T Q A
11	N P E B E P G F T Q A
10	N P E P G F T Q A
1	N P E F J L R L J F E P N I G B A
25	N P G F R H Q A
8	N P G F R I R H Q A
13	N P G F R J T Q A
52	N P G F T Q A
8	N P G F T Q M Q A
19	N R O P F Q F J A
12	N R O P F G M G F J A
12	N R O P F G T J A
13	N R O P F G E L E G F J A
7	N R O P F G E G F J A
6	N R O P F G F J A
11	N R O P F G I C I J A
9	N R O P F G I J A
22	N R O P F J A
17	N R O J A
23	N R J A
5	N R J D J A
7	N R J H J A
9	N T B K A
13	N T G A
1	N C T D L A
1	N D A P G L K L G P A
10	N D R H Q A
23	N D C O A
7	N D C O H O A
19	N D C F R S B K A
10	N D C F R E R S B K A
44	N D J B K A
13	N D J B S B K A
11	N E N I L S P R A
11	N I L S M S P R A
7	N I L S P K P R A
11	N I L S P K D B O A
9	N I L S P K D K P R A
63	N I L S P R A
9	N I L S P R A J A
11	N I L S P R F R A
12	N I L S P R G O A
10	N I L S P R G R A
9	N I L S P H P R A
11	N I L C Q C S P R A
12	N I L C S P R A
13	N I T J A
12	N I F R S B K A
11	N J A
13	N J A P A
13	N J A P S P A
6	N J A C A
11	N J A C F E A
10	N J A E A
12	N J A E T M T E A
10	N J A E T E A
12	N J A E H R K L K R H E A
10	N J A E H R K R H E A
13	N J A E H R H E A
8	N J A E H E A
16	N J A E I O I E A
13	N J A E I E A
1	N J D F L S A
10	N J G Q B Q G J A
9	N J G Q B D B Q G J A
12	N J G Q G J A
10	N J G J A

SOURCE A TO DESTINATION O:

FREQUENCY	PATH
5	O A K A
12	O A K B K A
14	O A K B M B K A
15	O A K B J B K A
12	O A K Q K A
10	O A J A
11	O A J T J A
12	O B O A
8	O B D K P R A
7	O K A
13	O K A Q A
15	O K A Q T Q A
11	O K R D R H Q A
26	O K R H Q A
8	O K R I R H Q A
16	O K R J T Q A
12	O K C A
9	O M Q A
12	O P L H Q A
12	O P N P G F T Q A
12	O P S P G F T Q A
1	O P C D F L S A
10	O P E B E P G F T Q A
10	O P E P G F T Q A
19	O P F Q F J A
13	O P F G M G F J A
12	O P F G T J A
13	O P F G E L S D J A
14	O P F G E L E G F J A
7	O P F G E G F J A
6	O P F G F J A
11	O P F G I C I J A
10	O P F G I J A
25	O P F J A
26	O P G F T Q A
10	O R N K B J A
9	O R N K N R J A
17	O R N R J A
14	O R J A
12	O S B K A
1	O C A E A
11	O C O A
1	O C T D L A
9	O C D N P K A
14	O C D N P L P K A
9	O C D N T B K A
11	O C D N D J B K A
13	O C D J B K A
17	O C F R S B K A
10	O C F R E R S B K A
13	O C F I F R S B K A
14	O C G A
5	O D J A
1	O F J L R L J F E P N I G B A
1	O G L K L G P A
21	O G R A
7	O G R P K P R A
12	O G R P R A
16	O G R P S L S P R A
11	O G R P S L I L S P R A
11	O G R P S L I N E N I L S P R A
10	O G R P S L I N I L S P R A
11	O G R P S M S P R A
16	O G R P S P R A
11	O G R P S C Q C S P R A
12	O G R P S C S P R A
8	O G R P H P R A
12	O G R F R A
8	O H O A
23	O I E A
12	O I E A P A
12	O I E A P S P A
13	O I E A J A
12	O I E A J N J A
11	O I E A J G Q B Q G J A
10	O I E A J G Q B D B Q G J A
14	O I E A J G Q G J A
9	O I E A J G J A
16	O I E T M T E A
9	O I E T E A
6	O I E F C A
10	O I E F E A
12	O I E H R K L K R H E A
10	O I E H R K R H E A
11	O I E H R H E A
9	O I E H E A
9	O J A
5	O J H J A

SOURCE A TO DESTINATION P:

FREQUENCY	PATH
1	P A L D T C T D L A
6	P A C A
11	P A C F E A
9	P A E A
14	P A E T M T E A
9	P A E T E A
12	P A E H R K L K R H E A
9	P A E H R K R H E A
11	P A E H R H E A
8	P A E H E A
15	P A E I O I E A
15	P A E I E A
11	P A J A
11	P A J N J A
10	P A J G Q B Q G J A
12	P A J G Q B D B Q G J A
13	P A J G Q G J A
11	P A J G J A
7	P K A
12	P K B K A
12	P K B S B K A
6	P K P R A
11	P K D B O A
10	P K D K P R A
14	P L P K A
10	P L H Q A
12	P N P G F T Q A
9	P N T B K A
14	P N T G A
21	P N D C O A
9	P N D C O H O A
17	P N D C F R S B K A
11	P N D C F R E R S B K A
37	P N D J B K A
12	P N I F R S B K A
15	P O K A
10	P O R N K B J A
9	P O R N K N R J A
17	P O R N R J A
14	P O R J A
15	P O J A
11	P Q K A
13	P Q M B K A
1	P Q D C A E A
11	P R A
11	P R A J A
11	P R F R A
11	P R G O A
10	P R G R A
15	P S L S P R A
11	P S L I L S P R A
11	P S L I N E N I L S P R A
12	P S L I N I L S P R A
11	P S L I T J A
10	P S M S P R A
12	P S P A
17	P S P R A
11	P S P G F T Q A
10	P S C Q C S P R A
13	P S C S P R A
1	P C D F L S A
10	P E B D R H Q A
13	P E B E P G F T Q A
10	P E P G F T Q A
1	P E F J L R L J F E P N I G B A
18	P F Q F J A
13	P F G M G F J A
12	P F G T J A
12	P F G E L S D J A
15	P F G E L E G F J A
7	P F G E G F J A
8	P F G F J A
11	P F G I C I J A
11	P F G I J A
6	P F H J A
16	P F J A
5	P F J D J A
8	P G K A
13	P G K C A
1	P G L K L G P A
24	P G F R H Q A
7	P G F R I R H Q A
13	P G F R J T Q A
44	P G F T Q A
9	P G F T Q M Q A
8	P H P R A

SOURCE A TO DESTINATION Q:

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

SOURCE A TO DESTINATION R:

FREQUENCY	PATH
10	R A J A
7	R K A
12	R K L K R H E A
14	R K O K A
10	R K R H E A
14	R K C A
1	R L D T C T D L A
11	R L H Q A
1	R L J F Q E P N I G B A
10	R N K B J A
10	R N K N R J A
12	R N K S D J A
15	R N R J A
18	R O P F Q F J A
14	R O P F G M G F J A
12	R O P F G T J A
14	R O P F G E L E G F J A
8	R O P F G E G F J A
8	R O P F G F J A
10	R O P F G I C I J A
9	R O P F G I J A
24	R O P F J A
16	R O J A
6	R P K P R A
10	R P K D K P R A
12	R P R A
14	R P S L S P R A
10	R P S L I L S P R A
10	R P S L I N E N I L S P R A
11	R P S L I N I L S P R A
11	R P S L I T J A
11	R P S M S P R A
17	R P S P R A
13	R P S C Q C S P R A
13	R P S C S P R A
10	R P H P R A
30	R S B K A
10	R S B K Q K A
13	R S B M B K A
11	R D N P G F T Q A
10	R D R H Q A
1	R D F L S A
11	R E R S B K A
1	R F K L G P A
10	R F R A
7	R F R S B K A
10	R F T Q A
23	R F C O A
9	R F C O H O A
12	R F C D N P K A
13	R F C D N P L P K A
9	R F C D N T B K A
11	R F C D N D J B K A
12	R F C D J B K A
14	R F G A
12	R F G P S P G F T Q A
12	R F G P E B E P G F T Q A
13	R F G P E P G F T Q A
10	R F G P G F T Q A
9	R F G F T Q A
12	R F I F R S B K A
11	R G O A
12	R G O B O A
8	R G R A
1	R G D B N K N B E A
24	R H Q A
8	R H Q M Q A
12	R H Q T Q A
13	R H T M T E A
11	R H T E A
9	R H C A
10	R H C F E A
17	R H E A
13	R H E A P A
13	R H E A P S P A
10	R H E A J A
12	R H E A J N J A
9	R H E A J G Q B Q G J A
11	R H E A J G Q B D B Q G J A
12	R H E A J G Q G J A
9	R H E A J G J A
15	R H E I O I E A
13	R H E I E A
7	R I R H Q A
9	R J A
13	R J B K A
15	R J T Q A
5	R J D J A
5	R J H J A

SOURCE A TO DESTINATION S:

FREQUENCY	PATH
19	S B K A
11	S B K Q K A
14	S B M B K A
10	S B D R H Q A
12	S B E P G F T Q A
14	S B J B K A
16	S B J G A
38	S K N R J A
1	S L K L G P A
14	S L S P R A
12	S L E G M G F J A
10	S L E G T J A
16	S L E G F P O J A
13	S L E G F P F J A
16	S L E G F Q F J A
39	S L E G F J A
1	S L F D F L S A
13	S L I L S P R A
11	S L I N E N I L S P R A
12	S L I N I L S P R A
11	S L I T J A
11	S L I C I J A
8	S L I J A
11	S M S P R A
1	S N C T D L A
10	S O A
12	S O C O A
11	S O C D N P K A
13	S O C D N P L P K A
9	S O C D N T B K A
10	S O C D N D J B K A
12	S O C D J B K A
10	S O H O A
13	S P A
8	S P A C A
10	S P A C F E A
8	S P A E A
13	S P A E T M T E A
11	S P A E T E A
13	S P A E H R K L K R H E A
11	S P A E H R K R H E A
12	S P A E H R H E A
9	S P A E H E A
16	S P A E I O I E A
13	S P A E I E A
6	S P K P R A
12	S P K D B O A
11	S P K D K P R A
9	S P L H Q A
12	S P N P G F T Q A
14	S P O K A
24	S P R A
10	S P R A J A
9	S P R F R A
13	S P R G O A
8	S P R G R A
12	S P E P G F T Q A
9	S P G K A
15	S P G K C A
22	S P G F R H Q A
8	S P G F R I R H Q A
14	S P G F R J T Q A
53	S P G F T Q A
9	S P G F T Q M Q A
9	S P H P R A
10	S Q B Q G J A
31	S Q G J A
11	S Q G J N J A
8	S R S B K A
11	S R E R S B K A
7	S R F R S B K A
12	S R F I F R S B K A
14	S C Q C S P R A
11	S C S P R A
1	S C F P O K N B E A
10	S D B Q G J A
16	S D J A
10	S D J B J A
10	S H J A
1	S J C P A

SOURCE A TO DESTINATION T:

FREQUENCY	PATH
18	T B K A
9	T B O A
12	T B S B K A
12	T M T E A
1	T N K N B E A
10	T N P K A
14	T N P L P K A
10	T N P Q K A
13	T N P Q M B K A
21	T N D C O A
9	T N D C O H O A
15	T N D C F R S B K A
11	T N D C F R E R S B K A
38	T N D J B K A
13	T N I F R S B K A
10	T Q A
8	T Q A K A
15	T Q A C A
8	T Q M Q A
10	T Q H Q A
9	T Q H R D R H Q A
12	T Q H R H Q A
8	T Q H R I R H Q A
1	T C T D L A
1	T D A P G L K L G P A
9	T D K P R A
8	T E A
13	T E A P A
11	T E A P S P A
10	T E A J A
11	T E A J N J A
11	T E A J G Q B Q G J A
10	T E A J G Q B D B Q G J A
12	T E A J G Q G J A
8	T E A J G J A
1	T E B K C P A
14	T E I O I E A
15	T E I E A
10	T F T Q A
1	T F D F L S A
10	T F G P L H Q A
12	T F G P N P G F T Q A
14	T F G P O K A
13	T F G P S P G F T Q A
13	T F G P E B E P G F T Q A
12	T F G P E P G F T Q A
12	T F G P G F T Q A
10	T F G F T Q A
15	T G A
12	T G M G F J A
13	T G E L S D J A
14	T G E L E G F J A
7	T G E G F J A
9	T G F P O R N K B J A
13	T G F P O R N K N R J A
18	T G F P O R N R J A
12	T G F P O R J A
16	T G F P O J A
12	T G F P F J A
16	T G F Q F J A
18	T G F J A
13	T H R K L K R H E A
11	T H R K R H E A
11	T H R H E A
10	T H C A
10	T H C F E A
9	T H E A
12	T I L S M S P R A
7	T I L S P K P R A
66	T I L S P R A
9	T I L S P R F R A
12	T I L S P R G O A
8	T I L S P R G R A
9	T I L S P H P R A
14	T I L C Q C S P R A
11	T I L C S P R A
11	T I N E N I L S P R A
12	T I N I L S P R A
10	T I C I J A
7	T I J A
19	T J A
13	T J T Q A
6	T J D J A
7	T J H J A

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