pi.math.cornell.edupi.math.cornell.edu/.../dump/SGrwSizes.2-.3.docx · Web viewSG x SG Level 4...

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SG x SG Level 4 Probability 0.2 Cluster 1 Recurrent Walks: 92 out of 100 MaxCluster Vertices: 25076 Vertices covered: [98, 92, 104, 73, 106, 35, 73, 113, 140, 89, 132, 141, 124, 105, 89, 39, 143, 83, 67, 73, 139, 122, 95, 137, 55, 92, 80, 96, 194, 115, 126, 70, 96, 52, 50, 127, 106, 128, 119, 116, 161, 53, 111, 119, 116, 119, 82, 119, 103, 99, 144, 45, 70, 120, 104, 131, 76, 93, 95, 117, 39, 88, 95, 76, 102, 96, 116, 104, 50, 108, 100, 115, 60, 111, 70, 68, 130, 65, 84, 64, 144, 85, 106, 115, 165, 112, 152, 91, 87, 50, 49, 121, 109, 65, 41, 56, 155, 108, 147, 109] Farthest Distance from Starting Position: [20 , 23 , 30 , 23 , 32 , 7 , 18 , 17 , 25 , 25 , 23 , 41 , 22 , 21 , 27 , 11 , 27 , 19 , 25 , 25 , 44 , 43 , 37 , 34 , 11 , 32 , 25 , 31 , 64 , 33 , 20 , 17 , 19 , 20 , 20 , 27 , 16 , 28 , 24 , 28 , 47 , 19 , 37 , 37 , 19 , 26 , 15 , 31 , 29 , 45 , 33 , 11 , 13 , 36 , 24 , 25 , 28 , 24 , 38 , 27 , 12 , 22 , 22 , 19 , 27 , 25 , 30 , 42 , 15 , 38 , 25 , 40 , 20 , 22 , 16 , 24 , 34 , 17 , 22 , 19 , 26 , 17 , 29 , 33 , 47 , 16 , 34 , 18 , 13 , 12 , 11 , 27 , 15 , 20 , 16 , 24 , 32 , 19 , 41 , 31] Cluster 2 Recurrent Walks: 92 out of 100 MaxCluster Vertices: 27073 Vertices covered: [55, 84, 94, 83, 50, 136, 149, 89, 158, 165, 164, 76, 109, 70, 103, 118, 124, 164, 97, 58, 73, 52, 164, 77, 102, 102, 79, 87, 64, 92, 79, 54, 46, 153, 73, 131, 100, 120, 61, 108, 43, 92, 72, 100, 92, 107, 68, 109, 102, 107, 75, 139, 79, 135, 85, 107, 125, 97, 54, 127, 102, 122, 79, 124, 144, 108, 65, 71, 96, 91, 111, 148, 119, 46, 66, 60, 61, 83, 68, 79, 51, 91, 94, 115, 89, 138, 162, 98, 76, 123, 37, 109, 169, 103, 88, 95, 79, 117, 111, 103] Farthest Distance from Starting Position: [18, 20, 25, 26, 19, 36, 29, 29, 53, 56, 42, 16, 30, 18, 23, 37, 36, 53, 22, 19, 18, 12, 29, 20, 24, 28, 13, 24, 15, 18, 20, 21, 16, 40, 21, 36, 20, 32, 12, 43, 12, 29, 22, 26, 38, 21, 25, 21, 27, 22, 17, 29, 20, 24, 25, 17, 30, 21, 16, 18, 12, 33, 18, 32, 28, 23, 15, 27, 25, 25, 24, 49, 17, 13, 13, 12, 18, 20, 11, 16, 12, 28, 21, 30, 25, 26, 46, 24, 35, 41, 7, 21, 30, 19, 17, 20, 23, 17, 40, 22] Recurrent Walks: 94 out of 100 MaxCluster Vertices: 26680 Vertices covered: [79, 140, 64, 61, 152, 125, 60, 88, 84, 56, 42, 94, 70, 169, 140, 139, 77, 121, 94, 47, 144, 63, 107, 91, 58, 54, 82, 128, 95, 81, 43, 78, 116, 243, 98, 126, 104, 31, 72, 35, 74, 136, 99, 116,

Transcript of pi.math.cornell.edupi.math.cornell.edu/.../dump/SGrwSizes.2-.3.docx · Web viewSG x SG Level 4...

Page 1: pi.math.cornell.edupi.math.cornell.edu/.../dump/SGrwSizes.2-.3.docx · Web viewSG x SG Level 4 Probability 0.2 Cluster 1 Recurrent Walks: 92 out of 100 MaxCluster Vertices: 25076

SG x SG Level 4

Probability 0.2

Cluster 1Recurrent Walks: 92 out of 100 MaxCluster Vertices: 25076 Vertices covered: [98, 92, 104, 73, 106, 35, 73, 113, 140, 89, 132, 141, 124, 105, 89, 39, 143, 83, 67, 73, 139, 122, 95, 137, 55, 92, 80, 96, 194, 115, 126, 70, 96, 52, 50, 127, 106, 128, 119, 116, 161, 53, 111, 119, 116, 119, 82, 119, 103, 99, 144, 45, 70, 120, 104, 131, 76, 93, 95, 117, 39, 88, 95, 76, 102, 96, 116, 104, 50, 108, 100, 115, 60, 111, 70, 68, 130, 65, 84, 64, 144, 85, 106, 115, 165, 112, 152, 91, 87, 50, 49, 121, 109, 65, 41, 56, 155, 108, 147, 109] Farthest Distance from Starting Position: [20 , 23 , 30 , 23 , 32 , 7 , 18 , 17 , 25 , 25 , 23 , 41 , 22 , 21 , 27 , 11 , 27 , 19 , 25 , 25 , 44 , 43 , 37 , 34 , 11 , 32 , 25 , 31 , 64 , 33 , 20 , 17 , 19 , 20 , 20 , 27 , 16 , 28 , 24 , 28 , 47 , 19 , 37 , 37 , 19 , 26 , 15 , 31 , 29 , 45 , 33 , 11 , 13 , 36 , 24 , 25 , 28 , 24 , 38 , 27 , 12 , 22 , 22 , 19 , 27 , 25 , 30 , 42 , 15 , 38 , 25 , 40 , 20 , 22 , 16 , 24 , 34 , 17 , 22 , 19 , 26 , 17 , 29 , 33 , 47 , 16 , 34 , 18 , 13 , 12 , 11 , 27 , 15 , 20 , 16 , 24 , 32 , 19 , 41 , 31]

Cluster 2Recurrent Walks: 92 out of 100 MaxCluster Vertices: 27073 Vertices covered: [55, 84, 94, 83, 50, 136, 149, 89, 158, 165, 164, 76, 109, 70, 103, 118, 124, 164, 97, 58, 73, 52, 164, 77, 102, 102, 79, 87, 64, 92, 79, 54, 46, 153, 73, 131, 100, 120, 61, 108, 43, 92, 72, 100, 92, 107, 68, 109, 102, 107, 75, 139, 79, 135, 85, 107, 125, 97, 54, 127, 102, 122, 79, 124, 144, 108, 65, 71, 96, 91, 111, 148, 119, 46, 66, 60, 61, 83, 68, 79, 51, 91, 94, 115, 89, 138, 162, 98, 76, 123, 37, 109, 169, 103, 88, 95, 79, 117, 111, 103] Farthest Distance from Starting Position: [18, 20, 25, 26, 19, 36, 29, 29, 53, 56, 42, 16, 30, 18, 23, 37, 36, 53, 22, 19, 18, 12, 29, 20, 24, 28, 13, 24, 15, 18, 20, 21, 16, 40, 21, 36, 20, 32, 12, 43, 12, 29, 22, 26, 38, 21, 25, 21, 27, 22, 17, 29, 20, 24, 25, 17, 30, 21, 16, 18, 12, 33, 18, 32, 28, 23, 15, 27, 25, 25, 24, 49, 17, 13, 13, 12, 18, 20, 11, 16, 12, 28, 21, 30, 25, 26, 46, 24, 35, 41, 7, 21, 30, 19, 17, 20, 23, 17, 40, 22]

Recurrent Walks: 94 out of 100 MaxCluster Vertices: 26680 Vertices covered: [79, 140, 64, 61, 152, 125, 60, 88, 84, 56, 42, 94, 70, 169, 140, 139, 77, 121, 94, 47, 144, 63, 107, 91, 58, 54, 82, 128, 95, 81, 43, 78, 116, 243, 98, 126, 104, 31, 72, 35, 74, 136, 99, 116, 128, 130, 112, 136, 70, 171, 101, 113, 94, 73, 88, 98, 63, 110, 86, 70, 56, 137, 58, 169, 57, 142, 122, 75, 164, 129, 144, 99, 152, 102, 140, 112, 86, 132, 107, 122, 110, 123, 88, 119, 113, 37, 132, 125, 107, 125, 85, 77, 102, 76, 143, 101, 59, 137, 50, 87] Farthest Distance from Starting Position: [19, 37, 15, 15, 48, 55, 26, 27, 14, 14, 13, 17, 18, 27, 28, 67, 16, 32, 22, 11, 60, 20, 24, 33, 10, 28, 19, 25, 25, 17, 21, 15, 24, 45, 36, 22, 32, 13, 17, 7, 27, 28, 21, 19, 26, 54, 22, 33, 23, 55, 18, 37, 31, 19, 17, 18, 22, 24, 16, 22, 14, 32, 27, 42, 15, 19, 35, 28, 29, 30, 41, 33, 44, 24, 52, 26, 14, 42, 31,

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16, 33, 20, 14, 25, 28, 9, 35, 24, 28, 40, 17, 14, 41, 20, 38, 39, 13, 44, 20, 31]

Cluster 4Recurrent Walks: 96 out of 100 MaxCluster Vertices: 28489 Vertices covered: [76, 154, 92, 108, 95, 113, 141, 119, 53, 61, 79, 114, 183, 83, 80, 110, 131, 157, 108, 33, 87, 151, 206, 99, 81, 87, 43, 54, 98, 109, 141, 76, 83, 57, 75, 86, 64, 91, 147, 25, 128, 79, 32, 159, 140, 90, 107, 53, 115, 124, 76, 71, 162, 106, 78, 127, 33, 159, 93, 164, 77, 135, 159, 65, 78, 146, 101, 33, 83, 119, 138, 57, 102, 98, 157, 112, 56, 62, 63, 128, 71, 113, 107, 107, 94, 126, 140, 107, 120, 102, 42, 79, 147, 155, 97, 86, 58, 63, 124, 114] Farthest Distance from Starting Position: [21, 25, 26, 28, 15, 27, 22, 46, 22, 14, 27, 26, 33, 17, 20, 32, 26, 42, 23, 14, 19, 44, 65, 25, 26, 25, 13, 16, 17, 35, 50, 22, 20, 19, 25, 18, 12, 30, 28, 6, 52, 16, 14, 39, 29, 22, 24, 17, 34, 21, 19, 13, 47, 25, 13, 20, 13, 58, 26, 54, 20, 40, 51, 22, 21, 25, 31, 10, 19, 29, 41, 26, 24, 20, 45, 34, 14, 17, 24, 39, 13, 26, 28, 17, 23, 47, 40, 37, 26, 31, 10, 15, 33, 31, 18, 27, 16, 23, 33, 38]

Cluster 5Recurrent Walks: 89 out of 100 MaxCluster Vertices: 24889 Vertices covered: [92, 86, 140, 91, 150, 105, 129, 100, 141, 66, 93, 107, 141, 83, 127, 112, 107, 102, 129, 69, 59, 48, 112, 108, 126, 177, 35, 89, 79, 106, 112, 113, 72, 139, 64, 102, 95, 108, 137, 112, 86, 80, 125, 163, 124, 160, 87, 99, 73, 88, 119, 50, 140, 87, 164, 124, 157, 107, 120, 70, 120, 128, 120, 122, 140, 57, 72, 104, 104, 59, 85, 124, 119, 82, 58, 187, 78, 139, 158, 109, 54, 159, 123, 76, 97, 59, 151, 108, 108, 101, 132, 84, 125, 100, 116, 166, 70, 90, 106, 160] Farthest Distance from Starting Position: [20, 21, 21, 19, 33, 18, 44, 26, 29, 18, 25, 38, 31, 24, 50, 19, 25, 31, 30, 23, 19, 13, 32, 30, 38, 52, 13, 21, 14, 14, 31, 30, 31, 43, 17, 21, 19, 17, 36, 28, 27, 14, 26, 46, 26, 31, 28, 23, 28, 18, 34, 13, 48, 32, 35, 33, 51, 24, 14, 13, 25, 39, 38, 28, 48, 18, 19, 30, 16, 11, 21, 21, 32, 24, 13, 63, 15, 23, 43, 26, 15, 49, 23, 18, 20, 13, 42, 29, 24, 22, 32, 24, 12, 20, 38, 31, 23, 40, 23, 52]

Cluster 6Recurrent Walks: 88 out of 100 MaxCluster Vertices: 29009 Vertices covered: [196, 151, 110, 88, 84, 129, 94, 106, 44, 111, 104, 63, 101, 73, 102, 117, 69, 154, 89, 97, 136, 78, 139, 70, 129, 124, 118, 167, 62, 78, 97, 141, 56, 131, 105, 95, 87, 94, 50, 90, 102, 130, 111, 99, 61, 128, 129, 95, 164, 99, 76, 133, 81, 111, 82, 45, 103, 123, 114, 50, 94, 89, 85, 121, 58, 91, 131, 80, 122, 73, 28, 71, 82, 148, 64, 82, 101, 108, 132, 57, 82, 153, 119, 91, 155, 103, 121, 69, 67, 119, 97, 56, 52, 67, 88, 101, 125, 99, 142, 44] Farthest Distance from Starting Position: [53, 42, 28, 19, 14, 39, 24, 29, 12, 15, 21, 23, 22, 29, 19, 22, 21, 50, 16, 22, 24, 23, 33, 14, 37, 27, 36, 34, 19, 16, 17, 39, 12, 31, 19, 21, 16, 25, 18, 34, 18, 27, 33, 23, 22, 51, 26, 21, 50, 31, 17, 21, 30, 28, 16, 13, 27, 33, 29, 17, 19, 21, 24, 20, 14, 18, 29, 37, 51, 29, 9, 21, 36, 40, 15, 16, 34, 19, 46, 18, 15, 22, 35, 31, 42, 19, 26, 21, 11, 24, 38, 12, 15, 12, 28, 32, 44, 26, 28, 11]

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Cluster 7Recurrent Walks: 96 out of 100 MaxCluster Vertices: 26471 Vertices covered: [86, 96, 55, 134, 114, 162, 60, 134, 38, 57, 118, 120, 56, 71, 68, 76, 90, 43, 155, 41, 41, 85, 182, 109, 109, 105, 70, 37, 165, 111, 127, 129, 54, 123, 95, 79, 82, 162, 125, 95, 145, 158, 126, 36, 64, 114, 60, 63, 139, 124, 106, 55, 60, 88, 104, 47, 88, 147, 43, 74, 119, 66, 103, 125, 62, 80, 74, 39, 128, 170, 60, 133, 80, 93, 89, 120, 134, 96, 121, 89, 120, 92, 94, 101, 108, 125, 105, 150, 134, 105, 93, 127, 151, 64, 89, 96, 44, 83, 195, 112] Farthest Distance from Starting Position: [19, 24, 15, 25, 28, 43, 15, 54, 13, 12, 27, 47, 14, 20, 13, 12, 25, 16, 37, 16, 9, 23, 63, 16, 29, 25, 18, 13, 32, 27, 22, 22, 14, 27, 20, 13, 29, 63, 31, 16, 47, 25, 24, 7, 21, 34, 18, 13, 59, 39, 26, 14, 21, 28, 23, 14, 31, 31, 12, 23, 24, 25, 25, 34, 11, 26, 16, 14, 33, 54, 17, 45, 19, 22, 23, 25, 22, 31, 35, 31, 39, 27, 27, 24, 40, 31, 20, 22, 35, 27, 18, 31, 46, 22, 20, 27, 15, 16, 74, 35]

Cluster 8Recurrent Walks: 96 out of 100 MaxCluster Vertices: 24055 Vertices covered: [100, 103, 112, 98, 72, 92, 125, 99, 169, 121, 53, 89, 98, 76, 110, 111, 153, 58, 99, 65, 77, 69, 86, 65, 145, 86, 102, 115, 145, 137, 62, 29, 94, 56, 150, 117, 82, 108, 97, 164, 69, 77, 116, 23, 109, 110, 94, 111, 86, 97, 90, 96, 126, 109, 106, 82, 86, 90, 118, 120, 133, 57, 95, 136, 82, 75, 93, 99, 83, 137, 128, 171, 80, 82, 83, 111, 110, 41, 100, 107, 66, 76, 142, 119, 73, 67, 78, 127, 125, 100, 77, 137, 53, 134, 78, 64, 160, 110, 111, 59] Farthest Distance from Starting Position: [18, 23, 16, 18, 21, 16, 25, 32, 47, 22, 17, 21, 17, 20, 32, 17, 27, 12, 21, 21, 18, 22, 13, 17, 32, 15, 35, 28, 33, 33, 20, 12, 20, 16, 41, 27, 26, 32, 24, 39, 15, 19, 36, 11, 35, 16, 31, 18, 32, 22, 35, 20, 29, 26, 33, 18, 36, 20, 24, 16, 50, 24, 19, 28, 10, 18, 25, 20, 14, 41, 21, 45, 23, 17, 16, 22, 14, 11, 24, 30, 16, 19, 42, 28, 28, 14, 10, 15, 36, 24, 22, 41, 20, 40, 18, 11, 50, 20, 24, 34]

Cluster 9Recurrent Walks: 88 out of 100 MaxCluster Vertices: 24575 Vertices covered: [145, 154, 116, 138, 85, 62, 70, 99, 67, 87, 144, 105, 88, 160, 137, 76, 98, 110, 114, 147, 95, 80, 94, 112, 138, 34, 113, 127, 111, 120, 155, 85, 72, 98, 149, 39, 134, 117, 77, 94, 89, 149, 108, 90, 76, 124, 74, 35, 158, 74, 38, 152, 55, 119, 77, 31, 109, 71, 63, 100, 136, 120, 113, 111, 51, 73, 90, 115, 99, 97, 61, 75, 151, 86, 167, 127, 105, 122, 51, 158, 76, 57, 117, 128, 73, 100, 112, 138, 128, 119, 125, 103, 95, 100, 164, 113, 70, 66, 132, 139] Farthest Distance from Starting Position: [28, 43, 19, 40, 14, 14, 18, 27, 22, 21, 37, 17, 20, 31, 38, 32, 35, 19, 35, 33, 19, 34, 31, 34, 64, 9, 34, 39, 28, 25, 50, 40, 23, 20, 26, 14, 29, 40, 19, 12, 24, 41, 38, 22, 17, 49, 19, 9, 35, 20, 11, 31, 22, 19, 32, 17, 23, 20, 12, 25, 37, 29, 53, 40, 12, 17, 27, 17, 20, 26, 16, 17, 36, 24, 38, 35, 21, 23, 12, 40, 28, 10, 21, 21, 25, 21, 43, 35, 16, 21, 22, 44, 25, 16, 56, 15, 16, 14, 41, 25]

Cluster 10Recurrent Walks: 95 out of 100 MaxCluster Vertices: 22977

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Vertices covered: [116, 58, 100, 101, 105, 90, 68, 99, 149, 86, 83, 114, 119, 109, 88, 184, 50, 108, 56, 112, 134, 40, 102, 80, 71, 115, 114, 143, 53, 88, 77, 149, 64, 101, 90, 121, 163, 128, 127, 132, 71, 91, 77, 122, 83, 101, 86, 85, 137, 103, 71, 50, 107, 103, 121, 73, 91, 73, 146, 115, 126, 71, 73, 135, 104, 128, 112, 90, 136, 110, 83, 112, 129, 191, 54, 87, 161, 84, 117, 105, 137, 44, 96, 87, 53, 101, 107, 66, 127, 81, 122, 84, 151, 89, 107, 119, 98, 44, 136, 151] Farthest Distance from Starting Position: [29, 15, 37, 38, 19, 12, 23, 17, 47, 24, 20, 30, 31, 34, 24, 57, 14, 21, 14, 30, 26, 12, 20, 18, 14, 24, 19, 37, 10, 18, 13, 41, 21, 17, 19, 25, 72, 32, 36, 32, 17, 19, 12, 31, 24, 23, 27, 20, 39, 15, 14, 16, 34, 32, 33, 16, 26, 29, 50, 34, 37, 11, 20, 34, 22, 23, 34, 23, 21, 32, 18, 16, 24, 57, 21, 27, 31, 36, 20, 34, 25, 10, 29, 28, 15, 30, 36, 15, 30, 19, 30, 22, 40, 20, 40, 28, 18, 10, 54, 36]

Probability: 0.21

Cluster: 1Recurrent Walks: 86 out of 100 MaxCluster Vertices: 34416 Vertices covered: [79, 104, 103, 128, 110, 105, 127, 137, 144, 73, 107, 84, 107, 114, 110, 92, 107, 45, 109, 89, 193, 129, 165, 77, 123, 105, 81, 71, 188, 103, 109, 89, 58, 131, 91, 122, 120, 110, 86, 93, 118, 99, 172, 87, 138, 98, 94, 92, 112, 71, 114, 94, 169, 88, 100, 128, 102, 79, 132, 125, 114, 147, 85, 127, 133, 125, 95, 107, 90, 89, 163, 120, 109, 153, 97, 128, 160, 186, 122, 153, 216, 134, 78, 46, 112, 150, 87, 91, 83, 55, 123, 140, 125, 89, 71, 112, 87, 124, 80, 66] Farthest Distance from Starting Position: [19, 24, 40, 29, 27, 15, 34, 47, 28, 19, 11, 33, 27, 21, 18, 27, 24, 16, 30, 23, 49, 34, 29, 18, 16, 33, 20, 21, 46, 36, 25, 15, 19, 23, 25, 29, 36, 17, 18, 23, 33, 22, 41, 17, 34, 30, 23, 22, 22, 11, 34, 25, 29, 34, 27, 41, 22, 29, 36, 38, 36, 31, 14, 37, 20, 21, 26, 20, 15, 24, 51, 33, 26, 37, 25, 30, 36, 55, 19, 20, 50, 34, 21, 12, 20, 41, 21, 19, 18, 14, 24, 25, 39, 22, 19, 33, 30, 43, 29, 21]

Cluster: 2Recurrent Walks: 90 out of 100 MaxCluster Vertices: 34879 Vertices covered: [77, 153, 77, 162, 121, 55, 165, 140, 91, 130, 99, 76, 124, 97, 64, 59, 156, 85, 145, 81, 136, 150, 70, 163, 129, 135, 132, 115, 94, 107, 227, 42, 132, 95, 161, 146, 142, 151, 91, 112, 94, 77, 96, 179, 59, 42, 189, 110, 172, 138, 135, 76, 177, 108, 150, 105, 109, 105, 106, 84, 141, 116, 141, 157, 141, 77, 97, 190, 222, 95, 130, 91, 153, 107, 83, 132, 164, 103, 91, 67, 127, 158, 125, 80, 112, 75, 132, 53, 144, 125, 105, 152, 81, 66, 136, 111, 79, 78, 120, 85] Farthest Distance from Starting Position: [22, 36, 16, 25, 29, 12, 41, 48, 21, 36, 23, 29, 25, 20, 17, 20, 22, 17, 40, 25, 34, 53, 33, 38, 38, 34, 37, 22, 25, 42, 93, 9, 18, 27, 53, 44, 30, 27, 37, 34, 26, 22, 23, 40, 17, 12, 29, 39, 42, 46, 29, 19, 51, 26, 37, 27, 19, 14, 39, 22, 36, 39, 24, 49, 39, 27, 18, 64, 84, 15, 29, 25, 44, 29, 17, 33, 32, 23, 18, 26, 46, 26, 38, 16, 19, 18, 47, 13, 44, 41, 20, 47, 27, 21, 21, 22, 23, 14, 36, 17]

Cluster: 3Recurrent Walks: 93 out of 100 MaxCluster Vertices: 33574

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Vertices covered: [88, 179, 110, 162, 123, 126, 149, 124, 102, 68, 152, 141, 64, 129, 147, 120, 37, 124, 104, 122, 76, 168, 137, 127, 119, 73, 123, 153, 97, 109, 110, 102, 79, 145, 92, 79, 57, 130, 175, 126, 108, 105, 128, 182, 93, 127, 112, 129, 90, 93, 69, 139, 86, 128, 59, 114, 104, 38, 160, 35, 39, 74, 60, 140, 141, 148, 67, 147, 148, 124, 100, 80, 75, 196, 101, 117, 128, 113, 118, 128, 157, 80, 137, 112, 91, 185, 120, 207, 97, 108, 97, 112, 165, 133, 103, 83, 101, 109, 127, 120] Farthest Distance from Starting Position: [16, 47, 32, 62, 21, 33, 35, 40, 19, 21, 24, 32, 17, 27, 30, 25, 11, 40, 25, 24, 16, 37, 45, 46, 24, 19, 29, 34, 35, 42, 31, 19, 24, 32, 23, 18, 15, 26, 25, 21, 34, 24, 40, 53, 19, 30, 25, 24, 19, 33, 19, 27, 18, 29, 14, 30, 22, 13, 59, 11, 13, 18, 17, 40, 36, 29, 13, 32, 21, 15, 20, 25, 13, 48, 26, 32, 39, 28, 25, 24, 53, 22, 40, 28, 26, 63, 36, 55, 22, 26, 21, 19, 49, 31, 20, 29, 19, 23, 38, 26]

Cluster: 4Recurrent Walks: 88 out of MaxCluster Vertices: 32614 Vertices covered: [106, 108, 74, 136, 95, 197, 171, 78, 107, 86, 142, 185, 123, 122, 159, 93, 87, 178, 104, 88, 97, 79, 168, 134, 59, 146, 119, 114, 171, 147, 130, 177, 118, 109, 128, 108, 145, 80, 104, 127, 103, 94, 115, 178, 87, 51, 110, 34, 144, 64, 117, 51, 85, 119, 131, 107, 142, 101, 115, 75, 129, 181, 119, 188, 169, 71, 123, 138, 100, 98, 201, 154, 51, 147, 65, 106, 130, 83, 122, 83, 49, 138, 57, 99, 137, 150, 98, 143, 100, 116, 164, 111, 142, 95, 59, 117, 110, 102, 71, 136] Farthest Distance from Starting Position: [31, 23, 25, 51, 27, 60, 52, 24, 21, 30, 35, 48, 37, 14, 41, 19, 17, 40, 19, 22, 21, 35, 35, 38, 23, 34, 28, 23, 31, 49, 18, 33, 25, 35, 31, 17, 34, 15, 38, 21, 18, 32, 31, 46, 36, 16, 17, 15, 25, 17, 16, 21, 35, 20, 28, 16, 26, 22, 27, 21, 35, 49, 33, 59, 38, 14, 23, 34, 31, 29, 43, 48, 9, 22, 22, 27, 27, 34, 37, 36, 9, 32, 16, 24, 33, 44, 21, 56, 24, 30, 58, 26, 32, 28, 27, 19, 15, 28, 23, 36]

Cluster: 5Recurrent Walks: 91 out of 100 MaxCluster Vertices: 32476 Vertices covered: [61, 61, 156, 74, 79, 135, 149, 121, 68, 38, 79, 115, 104, 113, 68, 125, 92, 181, 98, 163, 129, 91, 96, 115, 52, 129, 58, 96, 50, 156, 162, 92, 112, 114, 42, 70, 138, 117, 103, 134, 46, 111, 115, 120, 56, 116, 25, 198, 119, 115, 70, 59, 117, 133, 86, 142, 92, 120, 123, 99, 94, 89, 193, 141, 119, 120, 115, 82, 72, 198, 69, 76, 79, 114, 111, 59, 87, 75, 94, 60, 104, 55, 135, 87, 138, 92, 142, 156, 86, 91, 66, 92, 71, 177, 109, 76, 115, 81, 36, 41] Farthest Distance from Starting Position: [18, 15, 28, 21, 19, 42, 28, 20, 13, 15, 26, 29, 32, 18, 12, 29, 22, 61, 20, 37, 46, 36, 15, 32, 16, 33, 16, 36, 16, 55, 34, 29, 31, 31, 10, 15, 38, 27, 39, 35, 14, 25, 29, 27, 17, 29, 7, 24, 40, 25, 16, 17, 24, 39, 19, 36, 30, 18, 33, 29, 14, 22, 66, 37, 19, 33, 20, 20, 23, 61, 15, 38, 26, 27, 26, 17, 26, 19, 23, 14, 14, 25, 31, 23, 60, 37, 25, 50, 23, 39, 11, 20, 17, 35, 24, 26, 33, 24, 13, 11]

Cluster: 6Recurrent Walks: 88 out of 100 MaxCluster Vertices: 34743 Vertices covered: [31, 53, 84, 81, 108, 100, 94, 87, 34, 179, 182, 71, 132, 77, 94, 71, 139, 126, 140, 94, 50, 134, 129, 70, 66, 151, 130, 127, 89, 141, 107, 143, 165, 79, 172, 98, 64, 76, 179, 183, 153, 96, 84, 56,

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187, 67, 114, 104, 83, 59, 129, 127, 98, 121, 118, 91, 163, 132, 94, 72, 139, 96, 109, 111, 124, 164, 157, 130, 52, 178, 87, 134, 125, 148, 98, 55, 103, 103, 59, 127, 160, 95, 128, 69, 115, 62, 145, 76, 114, 164, 68, 71, 122, 72, 95, 189, 114, 129, 131, 131] Farthest Distance from Starting Position: [12, 17, 20, 12, 34, 21, 28, 23, 18, 34, 24, 21, 28, 15, 26, 14, 39, 25, 45, 30, 16, 31, 19, 22, 15, 29, 46, 26, 31, 59, 28, 39, 49, 19, 48, 25, 14, 12, 51, 46, 39, 32, 19, 14, 38, 15, 46, 17, 30, 19, 31, 35, 26, 35, 32, 22, 47, 21, 12, 20, 49, 17, 23, 27, 34, 52, 29, 33, 11, 26, 19, 19, 43, 66, 31, 13, 25, 33, 16, 44, 29, 16, 28, 16, 28, 15, 42, 26, 28, 51, 15, 28, 17, 11, 12, 34, 30, 35, 34, 36]

Cluster: 7Recurrent Walks: 90 out of 100 MaxCluster Vertices: 34208 Vertices covered: [115, 125, 76, 125, 120, 104, 79, 86, 98, 99, 167, 109, 70, 63, 136, 153, 113, 140, 94, 146, 129, 81, 155, 108, 98, 147, 98, 106, 187, 134, 77, 143, 80, 141, 97, 67, 136, 191, 96, 92, 144, 125, 103, 157, 106, 91, 43, 177, 109, 99, 105, 125, 124, 150, 114, 139, 121, 77, 123, 88, 102, 100, 113, 109, 171, 117, 130, 134, 89, 140, 122, 96, 108, 116, 81, 56, 149, 104, 87, 181, 60, 36, 99, 112, 188, 144, 142, 62, 115, 150, 67, 85, 108, 72, 76, 115, 113, 142, 161, 118] Farthest Distance from Starting Position: [37, 41, 19, 37, 43, 20, 28, 23, 31, 27, 35, 26, 11, 25, 30, 31, 43, 40, 27, 15, 22, 30, 47, 14, 17, 23, 14, 42, 57, 17, 30, 49, 15, 41, 16, 18, 29, 35, 32, 32, 22, 25, 21, 59, 13, 30, 14, 53, 21, 30, 23, 29, 51, 48, 29, 21, 36, 23, 17, 29, 21, 15, 15, 31, 35, 18, 26, 41, 19, 52, 24, 18, 20, 14, 21, 17, 29, 30, 25, 43, 14, 10, 27, 43, 35, 40, 26, 13, 21, 31, 19, 32, 26, 17, 15, 29, 45, 51, 36, 16]

Cluster: 8Recurrent Walks: 96 out of 100 MaxCluster Vertices: 34079 Vertices covered: [84, 143, 66, 90, 87, 150, 102, 153, 89, 120, 93, 132, 90, 154, 88, 145, 59, 175, 162, 134, 114, 104, 47, 159, 119, 58, 64, 121, 131, 65, 106, 136, 116, 146, 99, 87, 66, 45, 108, 96, 140, 93, 66, 120, 105, 85, 94, 87, 121, 79, 103, 102, 108, 116, 63, 90, 51, 162, 134, 43, 113, 192, 147, 102, 161, 143, 84, 115, 150, 136, 108, 55, 79, 128, 118, 144, 127, 117, 71, 193, 127, 56, 166, 174, 96, 116, 71, 152, 46, 111, 71, 109, 60, 78, 121, 134, 86, 136, 98, 158] Farthest Distance from Starting Position: [27, 40, 23, 16, 17, 25, 23, 40, 14, 26, 27, 32, 20, 45, 14, 44, 18, 36, 42, 45, 23, 33, 13, 52, 20, 30, 17, 16, 23, 25, 22, 41, 26, 30, 27, 21, 16, 19, 30, 35, 46, 21, 12, 46, 24, 18, 32, 23, 31, 15, 40, 26, 14, 45, 25, 34, 12, 41, 22, 11, 28, 52, 47, 31, 54, 47, 21, 24, 51, 38, 31, 11, 12, 27, 27, 27, 29, 31, 11, 63, 27, 18, 57, 47, 27, 41, 17, 33, 11, 17, 17, 29, 20, 24, 30, 31, 20, 32, 33, 49]

Cluster: 9Recurrent Walks: 89 out of 100 MaxCluster Vertices: 34434 Vertices covered: [165, 128, 89, 108, 135, 54, 129, 85, 102, 84, 87, 153, 88, 109, 96, 146, 111, 102, 76, 153, 79, 125, 122, 100, 81, 39, 132, 61, 83, 74, 34, 66, 101, 61, 160, 154, 131, 83, 177, 94, 75, 142, 112, 118, 127, 128, 59, 106, 47, 158, 116, 158, 87, 131, 79, 126, 96, 159, 133, 51, 91, 167, 68, 127, 59, 170, 177, 152, 78, 96, 143, 146, 41,

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110, 84, 41, 141, 56, 152, 85, 120, 88, 139, 151, 147, 121, 66, 90, 109, 114, 153, 164, 112, 104, 139, 122, 143, 133, 113, 118] Farthest Distance from Starting Position: [28, 29, 23, 21, 30, 15, 35, 21, 26, 26, 19, 61, 24, 17, 25, 27, 22, 50, 30, 44, 13, 51, 21, 19, 23, 8, 25, 16, 40, 21, 13, 31, 13, 12, 27, 32, 23, 20, 53, 18, 25, 26, 29, 41, 30, 29, 17, 22, 15, 39, 24, 49, 25, 35, 23, 35, 26, 43, 21, 8, 27, 43, 17, 44, 14, 70, 68, 46, 21, 25, 50, 33, 10, 22, 27, 15, 41, 15, 39, 19, 39, 34, 18, 42, 48, 21, 25, 14, 28, 34, 52, 35, 34, 19, 38, 25, 34, 43, 20, 16]

Cluster: 10Recurrent Walks: 88 out of 100 MaxCluster Vertices: 34298 Vertices covered: [76, 128, 124, 107, 107, 67, 128, 165, 95, 107, 127, 142, 190, 112, 175, 175, 158, 104, 133, 101, 110, 144, 136, 130, 98, 88, 118, 134, 142, 147, 102, 169, 114, 80, 153, 120, 144, 74, 133, 40, 111, 77, 123, 121, 132, 127, 103, 186, 89, 133, 38, 135, 92, 141, 92, 76, 152, 84, 28, 151, 93, 122, 179, 184, 118, 185, 118, 117, 109, 44, 151, 153, 96, 92, 146, 132, 70, 84, 139, 138, 114, 171, 191, 163, 83, 72, 91, 126, 189, 142, 113, 78, 117, 91, 111, 201, 41, 96, 70, 151] Farthest Distance from Starting Position: [14, 29, 27, 18, 15, 17, 31, 55, 39, 32, 24, 33, 74, 39, 52, 63, 47, 41, 31, 15, 28, 35, 31, 20, 23, 25, 23, 41, 31, 28, 23, 43, 32, 22, 24, 34, 45, 20, 25, 10, 51, 21, 15, 43, 37, 29, 30, 43, 30, 33, 10, 25, 21, 29, 21, 23, 52, 28, 8, 27, 32, 36, 60, 58, 26, 70, 22, 33, 17, 13, 39, 29, 28, 21, 35, 30, 28, 33, 29, 28, 18, 37, 75, 30, 32, 20, 12, 27, 34, 23, 30, 26, 22, 26, 18, 32, 12, 36, 18, 28]

Probability: 0.22

Cluster: 1Recurrent Walks: 93 out of 100 MaxCluster Vertices: 38667 Vertices covered: [103, 193, 129, 98, 129, 140, 103, 157, 127, 115, 146, 142, 112, 98, 70, 48, 219, 143, 99, 158, 86, 162, 161, 198, 143, 157, 137, 132, 102, 191, 118, 147, 116, 57, 110, 136, 77, 127, 148, 241, 187, 91, 96, 117, 164, 137, 83, 123, 112, 171, 101, 108, 104, 74, 81, 231, 51, 140, 131, 100, 142, 111, 168, 90, 139, 77, 160, 131, 145, 153, 164, 192, 140, 129, 93, 125, 154, 133, 152, 103, 150, 168, 113, 95, 142, 93, 186, 129, 153, 85, 112, 131, 126, 170, 121, 62, 113, 127, 150, 68] Farthest Distance from Starting Position: [23, 85, 27, 15, 41, 33, 38, 44, 36, 34, 27, 16, 18, 22, 27, 15, 71, 42, 20, 31, 21, 38, 53, 71, 27, 33, 37, 34, 17, 72, 27, 35, 32, 21, 37, 33, 22, 18, 24, 82, 86, 19, 25, 34, 54, 28, 17, 23, 24, 41, 21, 16, 24, 14, 13, 77, 9, 28, 57, 21, 34, 29, 66, 24, 26, 31, 52, 22, 31, 50, 30, 32, 15, 27, 31, 38, 19, 41, 27, 25, 31, 33, 16, 29, 48, 20, 31, 33, 28, 24, 22, 36, 27, 66, 17, 12, 33, 36, 20, 28]

Cluster: 2Recurrent Walks: 82 out of 100 MaxCluster Vertices: 39155 Vertices covered: [83, 141, 155, 152, 104, 188, 90, 114, 147, 160, 121, 188, 105, 166, 137, 116, 155, 221, 199, 162, 127, 113, 126, 91, 95, 142, 130, 97, 151, 134, 135, 94, 131, 69, 157, 160, 134, 115, 146, 181, 69, 59, 145, 98, 82, 112, 162, 94, 124, 127, 128, 120, 146, 168, 162, 155, 159, 138, 123, 138, 174, 158, 140, 52, 152, 188, 79, 134, 137, 186, 75,

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226, 105, 159, 139, 138, 44, 111, 142, 171, 158, 81, 186, 108, 132, 114, 133, 146, 112, 197, 76, 158, 158, 129, 166, 166, 133, 84, 97, 164] Farthest Distance from Starting Position: [18, 49, 63, 28, 20, 45, 30, 32, 34, 40, 29, 76, 31, 50, 35, 29, 26, 52, 61, 49, 27, 27, 24, 37, 32, 39, 26, 36, 27, 30, 45, 33, 20, 18, 24, 27, 30, 40, 43, 21, 19, 16, 48, 22, 20, 20, 53, 20, 39, 30, 20, 23, 64, 34, 37, 44, 42, 32, 24, 34, 47, 40, 45, 10, 26, 53, 17, 38, 29, 41, 24, 40, 25, 33, 32, 38, 17, 31, 28, 21, 57, 11, 33, 22, 26, 44, 29, 48, 24, 37, 20, 35, 34, 25, 41, 18, 16, 24, 20, 43]

Cluster: 3Recurrent Walks: 88 out of 100 MaxCluster Vertices: 39083 Vertices covered: [147, 102, 139, 162, 140, 94, 146, 146, 175, 154, 117, 69, 134, 119, 184, 158, 149, 186, 118, 119, 100, 135, 28, 135, 199, 51, 108, 145, 96, 118, 205, 112, 122, 145, 116, 141, 95, 176, 130, 162, 138, 125, 46, 216, 157, 137, 160, 128, 209, 127, 85, 125, 57, 99, 164, 133, 95, 91, 51, 167, 87, 154, 195, 113, 127, 124, 113, 177, 92, 74, 132, 185, 70, 77, 72, 103, 100, 94, 181, 121, 182, 186, 127, 160, 39, 136, 170, 133, 128, 78, 80, 116, 48, 147, 167, 116, 155, 144, 129, 103] Farthest Distance from Starting Position: [44, 26, 31, 30, 23, 18, 45, 32, 31, 52, 34, 19, 26, 27, 48, 40, 38, 60, 25, 17, 25, 35, 6, 22, 27, 17, 17, 24, 34, 24, 46, 24, 29, 23, 25, 56, 35, 49, 21, 38, 27, 25, 18, 79, 56, 36, 37, 33, 42, 29, 24, 17, 14, 34, 21, 21, 19, 19, 17, 31, 20, 43, 19, 19, 31, 20, 41, 43, 18, 17, 17, 55, 16, 16, 32, 38, 15, 14, 32, 33, 20, 69, 39, 50, 15, 24, 32, 46, 20, 22, 34, 37, 17, 21, 34, 29, 39, 49, 30, 16]

Cluster: 4Recurrent Walks: 95 out of 100 MaxCluster Vertices: 39409 Vertices covered: [214, 127, 81, 121, 119, 193, 131, 128, 158, 174, 41, 184, 144, 186, 64, 117, 178, 150, 97, 132, 34, 69, 148, 137, 123, 91, 157, 166, 168, 67, 132, 100, 147, 102, 139, 111, 136, 139, 156, 151, 139, 155, 175, 79, 176, 80, 110, 158, 113, 110, 113, 114, 176, 81, 133, 74, 208, 138, 107, 105, 192, 57, 127, 136, 132, 155, 141, 109, 180, 150, 109, 55, 228, 158, 128, 125, 128, 133, 148, 126, 194, 127, 139, 104, 101, 137, 190, 142, 141, 123, 197, 151, 162, 127, 91, 167, 147, 127, 111, 156] Farthest Distance from Starting Position: [49, 29, 28, 28, 33, 60, 24, 28, 38, 43, 11, 48, 34, 29, 16, 20, 48, 51, 25, 27, 10, 13, 41, 44, 19, 21, 52, 53, 32, 12, 25, 23, 33, 18, 25, 22, 30, 26, 52, 39, 34, 31, 33, 18, 29, 27, 38, 36, 31, 22, 19, 34, 54, 18, 26, 22, 65, 43, 15, 31, 57, 19, 36, 41, 56, 44, 36, 34, 56, 41, 28, 9, 90, 29, 41, 26, 22, 35, 27, 18, 34, 33, 33, 20, 18, 29, 76, 26, 26, 43, 37, 36, 59, 17, 24, 38, 22, 33, 19, 39]

Cluster: 5Recurrent Walks: 92 out of 100 MaxCluster Vertices: 40493 Vertices covered: [80, 216, 99, 162, 147, 198, 139, 96, 206, 105, 196, 179, 116, 180, 199, 108, 96, 131, 145, 139, 134, 60, 81, 126, 135, 94, 221, 83, 116, 163, 72, 124, 159, 131, 130, 84, 180, 99, 111, 86, 175, 91, 132, 76, 147, 197, 175, 156, 83, 121, 116, 79, 134, 196, 115, 121, 162, 63, 95, 176, 115, 170, 121, 97, 157, 103, 105, 159, 107, 138, 142, 86, 153, 183, 108, 115, 146, 114, 114, 190, 135, 115, 227, 179, 124, 133, 84, 206, 108, 122, 136, 205, 81, 173, 110, 59, 36, 108, 113, 119]

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Farthest Distance from Starting Position: [19, 70, 21, 29, 34, 68, 18, 27, 51, 14, 43, 47, 46, 38, 35, 19, 28, 28, 29, 39, 17, 12, 21, 22, 42, 24, 67, 23, 44, 33, 11, 35, 42, 27, 38, 19, 55, 28, 22, 18, 52, 12, 29, 17, 48, 53, 25, 38, 20, 29, 43, 21, 28, 71, 19, 28, 38, 20, 33, 38, 33, 42, 36, 31, 33, 18, 26, 43, 21, 29, 22, 23, 53, 25, 28, 22, 26, 32, 37, 44, 24, 24, 58, 64, 19, 58, 23, 65, 29, 30, 33, 50, 14, 66, 40, 16, 13, 22, 34, 30]

Cluster: 6Recurrent Walks: 88 out of 100 MaxCluster Vertices: 38924 Vertices covered: [98, 131, 133, 118, 49, 113, 147, 83, 106, 68, 135, 134, 129, 109, 134, 156, 69, 126, 107, 121, 174, 171, 61, 79, 149, 100, 128, 102, 176, 133, 91, 99, 144, 83, 172, 159, 90, 102, 67, 142, 109, 97, 112, 111, 38, 165, 89, 134, 198, 65, 147, 164, 124, 142, 190, 157, 89, 127, 153, 186, 107, 201, 95, 135, 47, 64, 210, 146, 164, 97, 139, 93, 128, 107, 92, 70, 146, 129, 106, 121, 94, 87, 138, 200, 140, 83, 75, 148, 162, 144, 141, 110, 138, 162, 120, 135, 113, 102, 81, 100] Farthest Distance from Starting Position: [19, 19, 47, 24, 13, 20, 41, 17, 27, 12, 33, 33, 19, 49, 40, 24, 30, 24, 28, 34, 37, 34, 16, 18, 30, 22, 44, 13, 72, 30, 15, 25, 36, 29, 58, 57, 21, 20, 18, 34, 44, 41, 25, 32, 14, 40, 25, 33, 59, 15, 45, 52, 18, 47, 57, 24, 24, 22, 27, 55, 27, 65, 25, 36, 18, 21, 26, 35, 20, 32, 32, 21, 34, 20, 18, 23, 42, 24, 17, 27, 20, 21, 19, 39, 36, 20, 23, 44, 42, 30, 18, 29, 39, 47, 26, 27, 24, 32, 13, 17]

Cluster: 7Recurrent Walks: 80 out of 100 MaxCluster Vertices: 38685 Vertices covered: [128, 126, 136, 50, 118, 85, 128, 197, 150, 141, 70, 148, 204, 168, 132, 80, 126, 158, 82, 175, 112, 158, 145, 126, 118, 107, 134, 134, 75, 73, 160, 139, 181, 130, 116, 153, 109, 124, 104, 151, 192, 172, 136, 117, 51, 122, 64, 119, 69, 91, 145, 111, 110, 177, 150, 110, 110, 70, 56, 177, 186, 218, 177, 79, 154, 179, 63, 96, 99, 172, 100, 102, 146, 136, 98, 63, 67, 98, 45, 143, 220, 86, 158, 112, 162, 107, 164, 187, 113, 153, 83, 117, 142, 203, 127, 149, 133, 125, 145, 98] Farthest Distance from Starting Position: [39, 33, 37, 17, 25, 17, 27, 41, 43, 23, 20, 21, 62, 57, 34, 26, 21, 30, 21, 38, 19, 26, 33, 39, 37, 20, 32, 35, 18, 23, 57, 32, 56, 30, 29, 66, 30, 27, 20, 36, 41, 42, 27, 27, 12, 23, 21, 31, 18, 20, 41, 51, 30, 45, 25, 27, 21, 15, 23, 62, 48, 51, 47, 18, 30, 62, 17, 42, 18, 71, 30, 21, 50, 39, 34, 14, 27, 17, 8, 33, 67, 21, 47, 34, 29, 23, 48, 61, 25, 47, 17, 29, 33, 40, 16, 26, 22, 37, 21, 23]

Cluster: 8Recurrent Walks: 86 out of 100 MaxCluster Vertices: 38563 Vertices covered: [155, 73, 124, 77, 120, 66, 114, 44, 150, 169, 122, 125, 191, 129, 119, 68, 67, 127, 154, 59, 152, 144, 158, 149, 129, 67, 86, 194, 84, 55, 85, 201, 44, 133, 90, 174, 102, 81, 144, 128, 136, 77, 78, 61, 104, 91, 43, 93, 104, 91, 174, 180, 187, 78, 31, 144, 109, 48, 122, 131, 174, 160, 169, 125, 99, 134, 158, 123, 95, 154, 97, 156, 154, 118, 88, 135, 124, 99, 138, 115, 176, 113, 51, 113, 93, 149, 225, 159, 143, 111, 86, 117, 61, 173, 97, 169, 196, 168, 103, 122] Farthest Distance from Starting Position: [25, 26, 22, 17, 21, 22, 25, 14, 43, 67, 24, 38, 40, 35, 30, 21, 11, 43, 36, 10, 48, 30, 55, 41, 32, 19, 25, 49, 20, 23, 32, 77, 14, 19, 25, 65, 30, 24, 52, 24, 36, 23, 16,

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12, 27, 22, 14, 23, 23, 17, 61, 56, 48, 15, 16, 33, 34, 13, 41, 36, 44, 38, 46, 22, 29, 36, 56, 28, 23, 56, 21, 33, 48, 18, 28, 47, 43, 24, 53, 32, 61, 27, 9, 27, 20, 58, 43, 22, 26, 29, 14, 27, 16, 71, 20, 40, 40, 56, 38, 31]

Cluster: 9Recurrent Walks: 84 out of 100 MaxCluster Vertices: 39480 Vertices covered: [93, 165, 85, 159, 90, 93, 77, 35, 99, 135, 98, 78, 86, 142, 154, 144, 122, 181, 154, 120, 156, 127, 91, 202, 107, 88, 143, 134, 202, 162, 133, 122, 111, 79, 130, 123, 85, 158, 185, 115, 114, 124, 65, 141, 177, 134, 190, 182, 155, 185, 60, 93, 99, 39, 125, 151, 128, 183, 104, 94, 144, 205, 108, 160, 147, 98, 191, 121, 156, 112, 141, 81, 147, 133, 124, 179, 142, 80, 76, 41, 88, 91, 210, 78, 223, 105, 153, 144, 121, 174, 72, 155, 109, 143, 176, 172, 115, 138, 148, 134] Farthest Distance from Starting Position: [34, 60, 20, 29, 25, 27, 24, 7, 25, 51, 21, 25, 18, 28, 37, 28, 32, 70, 38, 45, 30, 25, 23, 90, 34, 14, 29, 41, 60, 50, 34, 25, 25, 24, 46, 29, 27, 33, 73, 30, 26, 27, 18, 47, 35, 32, 47, 48, 21, 45, 20, 17, 20, 12, 28, 48, 22, 63, 38, 20, 43, 65, 32, 46, 41, 24, 61, 25, 53, 45, 32, 28, 43, 36, 34, 39, 28, 20, 14, 11, 17, 27, 71, 17, 90, 35, 29, 59, 48, 52, 27, 23, 16, 43, 62, 47, 30, 41, 30, 38]

Cluster: 10Recurrent Walks: 88 out of 100 MaxCluster Vertices: 38647 Vertices covered: [71, 144, 102, 131, 87, 105, 144, 106, 152, 172, 191, 100, 145, 132, 124, 100, 116, 105, 85, 144, 133, 136, 168, 141, 142, 80, 152, 104, 110, 91, 190, 53, 114, 158, 147, 146, 142, 83, 162, 168, 113, 110, 60, 152, 62, 170, 69, 166, 189, 195, 93, 98, 176, 187, 134, 151, 71, 120, 87, 66, 54, 63, 159, 216, 84, 192, 161, 91, 128, 161, 150, 54, 133, 160, 62, 108, 91, 96, 163, 171, 138, 106, 120, 175, 110, 126, 128, 147, 169, 171, 133, 142, 201, 117, 88, 116, 91, 127, 192, 47] Farthest Distance from Starting Position: [30, 52, 35, 28, 29, 27, 37, 15, 36, 36, 53, 32, 40, 25, 47, 16, 24, 32, 31, 16, 53, 36, 39, 24, 37, 19, 24, 25, 17, 24, 44, 19, 35, 44, 22, 38, 28, 23, 58, 36, 22, 22, 14, 46, 19, 51, 20, 70, 51, 67, 33, 18, 34, 40, 30, 32, 18, 29, 14, 27, 16, 11, 38, 55, 17, 42, 26, 19, 36, 31, 53, 9, 23, 35, 14, 18, 45, 27, 41, 58, 34, 15, 26, 49, 26, 34, 29, 39, 25, 49, 32, 39, 89, 31, 16, 40, 22, 22, 49, 15]

Probability: 0.23

Cluster: 1Recurrent Walks: 87 out of 100 MaxCluster Vertices: 42820 Vertices covered: [192, 138, 164, 171, 116, 106, 130, 98, 144, 100, 119, 190, 72, 96, 129, 105, 152, 163, 171, 174, 133, 270, 141, 161, 176, 232, 164, 132, 81, 144, 144, 205, 114, 156, 135, 48, 146, 146, 111, 174, 171, 71, 135, 146, 133, 228, 208, 186, 199, 205, 65, 145, 141, 98, 220, 209, 150, 190, 141, 118, 125, 190, 183, 132, 179, 160, 144, 167, 129, 125, 143, 160, 158, 173, 106, 194, 135, 151, 96, 196, 119, 196, 125, 156, 102, 100, 102, 177, 166, 257, 139, 200, 222, 98, 103, 198, 163, 155, 173, 20] Farthest Distance from Starting Position: [52, 18, 53, 36, 31, 22, 16, 27, 22, 22, 29, 55, 15, 32, 42, 30, 33, 40, 47, 34, 41, 81, 18, 51, 51, 42, 28, 35, 13, 58, 20, 51, 28, 44, 27, 19, 35, 35, 23, 57, 30, 18, 32,

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25, 27, 66, 31, 33, 64, 63, 17, 49, 29, 25, 76, 78, 27, 32, 26, 20, 32, 55, 49, 40, 30, 35, 29, 21, 43, 26, 60, 30, 47, 36, 32, 27, 36, 22, 26, 38, 36, 72, 23, 44, 32, 35, 24, 27, 44, 97, 30, 57, 64, 21, 28, 60, 64, 27, 57, 6]

Cluster: 2Recurrent Walks: 91 out of 100 MaxCluster Vertices: 42145 Vertices covered: [179, 131, 187, 111, 159, 153, 127, 203, 121, 163, 138, 208, 178, 160, 159, 141, 203, 145, 184, 153, 88, 89, 132, 165, 90, 100, 142, 99, 186, 190, 93, 203, 214, 153, 181, 180, 125, 160, 167, 141, 131, 143, 71, 134, 80, 71, 257, 152, 156, 106, 226, 144, 142, 99, 153, 132, 172, 73, 134, 143, 143, 163, 138, 214, 138, 170, 106, 146, 86, 132, 121, 205, 181, 135, 195, 121, 208, 130, 143, 166, 172, 34, 182, 161, 148, 184, 196, 121, 105, 135, 154, 148, 173, 129, 111, 197, 110, 149, 102, 80] Farthest Distance from Starting Position: [37, 16, 29, 18, 28, 26, 21, 72, 46, 48, 34, 42, 38, 24, 45, 37, 58, 42, 54, 61, 17, 18, 28, 46, 14, 15, 31, 21, 53, 49, 13, 38, 35, 38, 43, 39, 24, 36, 34, 30, 21, 22, 23, 26, 17, 21, 67, 49, 40, 20, 44, 31, 27, 36, 47, 30, 54, 17, 30, 53, 30, 45, 35, 50, 29, 64, 47, 46, 19, 24, 19, 51, 37, 32, 57, 33, 29, 23, 33, 40, 35, 8, 27, 42, 30, 56, 20, 33, 18, 30, 49, 23, 34, 66, 20, 65, 23, 56, 25, 22]

Cluster: 3Recurrent Walks: 87 out of 100 MaxCluster Vertices: 43037 Vertices covered: [182, 140, 185, 181, 135, 160, 76, 68, 140, 137, 124, 200, 210, 123, 121, 179, 142, 161, 86, 66, 176, 183, 164, 183, 187, 115, 127, 159, 193, 202, 119, 158, 53, 114, 175, 104, 118, 175, 146, 140, 156, 125, 129, 145, 135, 155, 142, 121, 114, 152, 78, 160, 160, 123, 82, 146, 113, 138, 193, 188, 137, 201, 152, 196, 188, 170, 156, 139, 170, 120, 113, 143, 157, 257, 167, 112, 136, 114, 160, 94, 86, 188, 144, 138, 171, 114, 137, 179, 99, 137, 216, 171, 143, 169, 170, 76, 174, 144, 145, 262] Farthest Distance from Starting Position: [55, 25, 45, 55, 19, 51, 34, 21, 26, 33, 35, 70, 41, 42, 31, 44, 36, 29, 13, 16, 45, 46, 64, 24, 27, 33, 26, 54, 63, 64, 21, 38, 18, 24, 61, 18, 20, 61, 19, 35, 36, 29, 45, 48, 41, 36, 35, 27, 29, 27, 35, 32, 43, 29, 22, 25, 27, 45, 40, 50, 32, 94, 49, 42, 37, 55, 51, 33, 23, 31, 23, 27, 30, 94, 53, 29, 28, 34, 23, 25, 16, 43, 40, 27, 26, 15, 23, 48, 38, 40, 65, 41, 30, 48, 44, 38, 39, 39, 46, 73]

Cluster: 4Recurrent Walks: 87 out of 100 MaxCluster Vertices: 42615 Vertices covered: [94, 167, 177, 126, 140, 204, 138, 149, 172, 159, 90, 163, 137, 212, 137, 81, 112, 184, 206, 134, 127, 86, 153, 179, 140, 188, 159, 153, 147, 70, 187, 147, 186, 141, 224, 230, 158, 116, 160, 158, 115, 137, 218, 199, 111, 75, 170, 107, 173, 134, 104, 72, 179, 128, 113, 161, 166, 167, 179, 102, 98, 156, 186, 175, 111, 158, 102, 159, 123, 108, 197, 185, 163, 168, 106, 157, 115, 230, 124, 139, 126, 152, 122, 130, 190, 112, 155, 130, 174, 139, 118, 136, 63, 144, 124, 148, 157, 158, 76, 104] Farthest Distance from Starting Position: [21, 43, 35, 38, 29, 73, 35, 39, 39, 42, 13, 46, 39, 64, 23, 27, 31, 54, 36, 23, 52, 33, 48, 49, 20, 48, 58, 31, 29, 16, 33, 25, 60, 25, 41, 43, 26, 20, 47, 23, 25, 24, 72,

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37, 45, 16, 69, 26, 57, 26, 27, 21, 59, 34, 28, 25, 35, 41, 26, 17, 21, 37, 34, 30, 24, 41, 30, 67, 30, 20, 47, 55, 43, 33, 14, 32, 26, 60, 32, 51, 36, 49, 24, 31, 39, 16, 36, 21, 23, 33, 23, 37, 16, 32, 30, 33, 27, 32, 21, 31]

Cluster: 5Recurrent Walks: 87 out of 100 MaxCluster Vertices: 42705 Vertices covered: [132, 108, 163, 163, 239, 143, 127, 109, 177, 112, 165, 125, 162, 158, 71, 170, 140, 188, 163, 186, 117, 191, 157, 145, 143, 144, 157, 157, 160, 179, 135, 97, 146, 192, 158, 207, 178, 144, 107, 172, 210, 146, 169, 90, 121, 143, 79, 84, 139, 149, 120, 154, 221, 184, 87, 126, 183, 159, 153, 98, 113, 150, 177, 190, 200, 163, 184, 163, 134, 203, 181, 89, 166, 197, 114, 112, 159, 182, 178, 157, 133, 176, 116, 59, 92, 121, 143, 158, 100, 176, 126, 119, 199, 121, 159, 111, 151, 144, 198, 227] Farthest Distance from Starting Position: [43, 16, 29, 44, 73, 35, 25, 20, 31, 29, 36, 34, 63, 46, 18, 30, 39, 69, 40, 47, 26, 57, 31, 41, 21, 51, 37, 27, 42, 71, 26, 19, 50, 38, 54, 41, 68, 38, 28, 41, 44, 38, 56, 14, 22, 39, 16, 16, 30, 37, 23, 48, 50, 51, 13, 26, 28, 24, 56, 24, 19, 56, 46, 25, 42, 43, 56, 50, 30, 73, 54, 14, 43, 55, 16, 35, 27, 73, 57, 28, 40, 57, 30, 12, 25, 35, 17, 57, 22, 51, 38, 27, 47, 37, 38, 25, 38, 31, 33, 64]

Cluster: 6Recurrent Walks: 83 out of 100 MaxCluster Vertices: 42068 Vertices covered: [39, 171, 161, 148, 70, 49, 138, 149, 127, 97, 143, 116, 194, 188, 79, 156, 175, 150, 167, 154, 74, 168, 122, 161, 210, 207, 152, 137, 117, 122, 189, 141, 70, 138, 213, 130, 197, 143, 191, 123, 98, 121, 100, 196, 104, 146, 159, 180, 171, 83, 144, 188, 142, 127, 141, 149, 157, 105, 117, 121, 179, 159, 136, 143, 152, 85, 187, 119, 148, 172, 158, 79, 132, 151, 169, 132, 128, 162, 141, 122, 162, 137, 193, 115, 126, 118, 166, 109, 146, 102, 219, 51, 122, 104, 98, 132, 195, 151, 173, 149] Farthest Distance from Starting Position: [15, 42, 58, 58, 26, 14, 50, 38, 40, 15, 32, 15, 21, 75, 17, 45, 42, 27, 41, 35, 24, 40, 26, 66, 38, 56, 24, 49, 30, 34, 75, 48, 15, 53, 93, 22, 59, 32, 83, 34, 28, 26, 28, 37, 23, 46, 33, 55, 32, 22, 25, 64, 32, 24, 29, 47, 60, 35, 27, 17, 23, 30, 29, 26, 34, 24, 63, 33, 37, 51, 36, 17, 16, 39, 49, 25, 44, 38, 35, 22, 38, 55, 53, 19, 39, 30, 54, 29, 27, 26, 66, 10, 25, 27, 20, 33, 59, 33, 41, 20]

Cluster: 7Recurrent Walks: 87 out of 100 MaxCluster Vertices: 42745 Vertices covered: [122, 164, 134, 160, 153, 200, 159, 140, 124, 160, 162, 183, 192, 176, 162, 137, 154, 208, 86, 130, 133, 153, 176, 114, 174, 205, 194, 72, 127, 110, 120, 192, 154, 64, 121, 131, 121, 213, 99, 118, 111, 129, 121, 213, 128, 50, 118, 141, 164, 203, 110, 157, 108, 102, 161, 150, 143, 186, 152, 139, 171, 140, 54, 157, 107, 109, 102, 131, 160, 167, 150, 86, 214, 143, 155, 98, 129, 115, 136, 123, 141, 180, 142, 171, 132, 133, 104, 116, 167, 208, 161, 216, 39, 174, 111, 158, 92, 177, 143, 150] Farthest Distance from Starting Position: [20, 36, 33, 22, 48, 46, 36, 25, 43, 63, 41, 31, 48, 58, 46, 51, 49, 57, 24, 21, 34, 33, 48, 36, 43, 51, 59, 16, 33, 19, 22, 38, 35, 20, 29, 37, 23, 45, 19, 30, 19, 18, 22,

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49, 20, 18, 50, 28, 41, 65, 19, 55, 29, 27, 45, 43, 49, 25, 44, 21, 56, 43, 23, 50, 40, 17, 37, 42, 33, 40, 57, 20, 47, 38, 49, 22, 20, 24, 32, 30, 33, 54, 42, 28, 33, 35, 18, 31, 35, 43, 49, 63, 19, 35, 48, 45, 26, 38, 20, 32]

Cluster: 8Recurrent Walks: 86 out of 100 MaxCluster Vertices: 43220 Vertices covered: [172, 172, 169, 206, 208, 102, 132, 220, 193, 184, 71, 115, 180, 205, 124, 143, 174, 77, 93, 92, 133, 163, 192, 169, 99, 159, 231, 163, 144, 55, 199, 191, 128, 153, 108, 182, 149, 143, 112, 199, 146, 124, 182, 87, 165, 158, 157, 149, 176, 204, 179, 89, 92, 112, 159, 203, 131, 167, 98, 206, 217, 130, 138, 84, 131, 23, 200, 94, 93, 61, 122, 220, 176, 151, 196, 208, 177, 144, 86, 150, 174, 130, 203, 160, 112, 153, 121, 94, 62, 166, 106, 68, 89, 151, 130, 127, 198, 114, 83, 175] Farthest Distance from Starting Position: [59, 46, 29, 78, 68, 21, 34, 76, 45, 54, 21, 32, 30, 56, 32, 39, 26, 19, 17, 25, 36, 46, 65, 38, 27, 40, 81, 49, 32, 18, 55, 60, 45, 36, 14, 27, 41, 26, 14, 53, 25, 13, 33, 14, 70, 43, 45, 58, 37, 51, 61, 23, 16, 27, 42, 41, 25, 34, 30, 39, 75, 21, 43, 22, 29, 8, 73, 26, 21, 24, 17, 65, 59, 35, 48, 42, 33, 63, 22, 24, 60, 25, 58, 39, 16, 31, 19, 17, 28, 25, 32, 19, 23, 24, 19, 29, 51, 39, 16, 50]

Cluster: 9Recurrent Walks: 85 out of 100 MaxCluster Vertices: 42547 Vertices covered: [84, 72, 111, 204, 132, 142, 136, 179, 195, 130, 193, 186, 192, 74, 94, 101, 43, 218, 170, 129, 173, 146, 137, 169, 104, 203, 47, 211, 169, 121, 100, 129, 114, 193, 214, 140, 137, 171, 180, 144, 166, 130, 157, 189, 68, 121, 250, 181, 138, 146, 146, 69, 163, 93, 194, 133, 196, 132, 233, 151, 163, 200, 114, 198, 158, 170, 157, 144, 164, 118, 75, 73, 167, 219, 161, 128, 155, 129, 137, 159, 143, 124, 111, 212, 169, 117, 155, 147, 114, 134, 59, 158, 206, 107, 130, 82, 156, 133, 142, 234] Farthest Distance from Starting Position: [26, 27, 38, 65, 40, 32, 31, 26, 22, 30, 52, 73, 48, 25, 19, 30, 9, 68, 32, 36, 40, 36, 28, 42, 40, 55, 16, 57, 66, 28, 26, 21, 32, 70, 75, 38, 26, 60, 54, 47, 47, 27, 29, 41, 20, 15, 97, 43, 35, 51, 47, 27, 33, 12, 75, 45, 56, 53, 50, 45, 46, 43, 27, 41, 43, 40, 40, 51, 47, 54, 16, 13, 52, 74, 58, 26, 37, 29, 18, 44, 58, 20, 35, 46, 33, 16, 63, 42, 19, 23, 14, 42, 71, 27, 25, 23, 48, 39, 39, 69]

Cluster: 10Recurrent Walks: 83 out of 100 MaxCluster Vertices: 42332 Vertices covered: [182, 111, 120, 190, 191, 127, 200, 200, 86, 130, 130, 172, 233, 121, 106, 172, 217, 89, 161, 61, 180, 45, 150, 92, 95, 72, 146, 203, 189, 94, 167, 101, 65, 231, 119, 124, 61, 198, 200, 153, 123, 172, 100, 111, 163, 147, 191, 111, 167, 90, 125, 186, 116, 56, 52, 164, 142, 45, 46, 156, 130, 76, 147, 88, 184, 226, 137, 156, 99, 135, 112, 103, 170, 142, 92, 90, 129, 216, 168, 175, 133, 68, 173, 107, 54, 88, 108, 206, 139, 192, 127, 109, 137, 195, 153, 153, 173, 60, 115, 118] Farthest Distance from Starting Position: [55, 19, 29, 67, 36, 21, 42, 38, 23, 40, 37, 39, 61, 30, 34, 52, 53, 34, 48, 17, 61, 17, 41, 21, 21, 17, 27, 55, 65, 43, 27, 22, 17, 56, 21, 20, 24, 70, 40, 60, 22, 59, 26, 37, 39, 26, 70, 33, 53, 25, 38, 24, 36, 12, 16, 30, 60, 17, 24, 28, 24,

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18, 39, 35, 48, 49, 37, 51, 28, 55, 39, 20, 42, 23, 28, 21, 40, 37, 24, 57, 22, 18, 35, 36, 14, 16, 27, 72, 25, 43, 29, 25, 31, 54, 34, 23, 38, 22, 20, 20]

Probability: 0.24

Cluster: 1Recurrent Walks: 85 out of 100 MaxCluster Vertices: 45452 Vertices covered: [76, 127, 131, 189, 180, 206, 133, 184, 139, 156, 203, 154, 130, 156, 221, 130, 173, 222, 124, 134, 201, 109, 180, 156, 159, 95, 70, 113, 164, 208, 178, 188, 131, 102, 192, 94, 155, 128, 187, 63, 204, 197, 131, 156, 118, 92, 150, 135, 147, 212, 117, 185, 92, 155, 211, 141, 155, 231, 231, 159, 157, 131, 71, 149, 174, 139, 242, 131, 131, 220, 245, 184, 211, 90, 113, 127, 140, 220, 195, 112, 109, 143, 150, 153, 175, 282, 144, 130, 205, 134, 169, 166, 178, 147, 188, 220, 153, 98, 186, 207] Farthest Distance from Starting Position: [15, 31, 26, 53, 61, 37, 30, 68, 43, 41, 70, 58, 21, 41, 65, 31, 62, 58, 20, 20, 38, 20, 36, 52, 45, 34, 21, 35, 25, 59, 40, 53, 29, 15, 36, 30, 29, 41, 41, 19, 87, 44, 20, 21, 20, 25, 45, 31, 38, 48, 25, 28, 35, 42, 61, 32, 37, 61, 61, 40, 56, 46, 13, 35, 68, 30, 94, 31, 21, 65, 90, 51, 23, 13, 25, 29, 42, 69, 42, 21, 29, 22, 37, 59, 48, 68, 27, 30, 40, 37, 55, 20, 43, 28, 58, 50, 31, 31, 48, 30]

Cluster: 2Recurrent Walks: 82 out of 100 MaxCluster Vertices: 45176 Vertices covered: [163, 84, 139, 153, 254, 175, 172, 217, 69, 115, 169, 168, 215, 140, 242, 83, 162, 121, 164, 66, 182, 148, 179, 161, 186, 179, 145, 197, 119, 242, 155, 145, 194, 41, 212, 161, 234, 172, 154, 104, 184, 185, 174, 165, 161, 213, 148, 172, 167, 126, 202, 35, 140, 112, 104, 225, 126, 101, 138, 139, 153, 135, 146, 232, 160, 154, 123, 138, 185, 101, 140, 148, 102, 131, 153, 126, 229, 133, 180, 158, 139, 227, 200, 188, 146, 201, 151, 155, 172, 169, 153, 175, 153, 70, 181, 206, 149, 102, 235, 245] Farthest Distance from Starting Position: [58, 25, 26, 39, 27, 38, 52, 47, 35, 20, 48, 48, 49, 56, 43, 13, 55, 26, 59, 15, 43, 23, 63, 57, 61, 27, 26, 30, 29, 60, 20, 28, 22, 15, 34, 59, 86, 48, 31, 16, 40, 27, 54, 27, 33, 42, 31, 37, 61, 38, 87, 10, 27, 30, 16, 55, 32, 23, 43, 23, 46, 41, 20, 29, 39, 37, 32, 32, 32, 38, 41, 36, 18, 16, 42, 20, 58, 37, 51, 33, 36, 80, 70, 50, 32, 46, 45, 51, 45, 28, 43, 28, 35, 15, 24, 52, 55, 18, 66, 33]

Cluster: 3Recurrent Walks: 85 out of 100 MaxCluster Vertices: 45251 Vertices covered: [203, 206, 145, 193, 190, 88, 178, 251, 145, 198, 195, 185, 56, 128, 153, 116, 148, 160, 121, 161, 162, 158, 217, 164, 149, 113, 154, 229, 116, 229, 229, 210, 145, 199, 183, 154, 129, 256, 142, 213, 150, 134, 111, 110, 225, 182, 200, 145, 177, 237, 108, 173, 167, 198, 134, 134, 168, 206, 205, 141, 131, 187, 139, 106, 174, 212, 151, 202, 165, 160, 137, 141, 99, 144, 157, 187, 123, 195, 138, 90, 204, 204, 183, 193, 197, 128, 197, 155, 179, 155, 153, 127, 159, 89, 221, 180, 135, 181, 187, 183] Farthest Distance from Starting Position: [38, 55, 39, 48, 52, 25, 54, 84, 19, 58, 43, 29, 25, 36, 40, 33, 31, 59, 21, 43, 39, 36, 56, 42, 34,

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29, 23, 45, 33, 65, 50, 68, 47, 75, 35, 41, 30, 70, 37, 81, 36, 33, 23, 16, 69, 34, 31, 47, 54, 100, 37, 48, 44, 57, 22, 23, 34, 51, 58, 44, 32, 61, 25, 15, 35, 22, 34, 52, 23, 28, 44, 27, 20, 32, 32, 50, 39, 28, 23, 37, 31, 59, 64, 26, 64, 21, 56, 50, 45, 46, 45, 21, 31, 17, 71, 64, 23, 36, 48, 34]

Cluster: 4Recurrent Walks: 85 out of 100 MaxCluster Vertices: 45503 Vertices covered: [152, 200, 187, 173, 155, 123, 194, 173, 223, 140, 70, 185, 212, 129, 202, 145, 187, 214, 108, 95, 176, 143, 120, 182, 150, 207, 181, 192, 195, 147, 123, 142, 172, 122, 190, 191, 145, 148, 143, 172, 75, 90, 185, 111, 176, 155, 81, 105, 200, 74, 174, 217, 240, 133, 187, 168, 168, 186, 150, 190, 171, 218, 98, 200, 196, 217, 167, 163, 147, 160, 153, 170, 128, 77, 219, 169, 154, 95, 128, 217, 100, 124, 207, 158, 197, 122, 130, 167, 178, 168, 199, 166, 166, 192, 231, 153, 22, 195, 175, 207] Farthest Distance from Starting Position: [37, 46, 39, 41, 29, 30, 42, 17, 66, 28, 20, 32, 70, 23, 48, 26, 45, 26, 39, 16, 53, 32, 38, 37, 20, 53, 44, 31, 44, 51, 32, 48, 40, 34, 36, 59, 42, 21, 31, 43, 27, 34, 28, 21, 34, 48, 23, 18, 38, 19, 41, 65, 43, 18, 66, 52, 37, 37, 34, 63, 48, 44, 33, 41, 48, 83, 54, 42, 40, 27, 34, 38, 25, 19, 55, 58, 42, 34, 45, 49, 39, 46, 49, 22, 46, 46, 28, 27, 52, 35, 72, 36, 59, 64, 74, 43, 8, 40, 37, 48]

Cluster: 5Recurrent Walks: 86 out of 100 MaxCluster Vertices: 45359 Vertices covered: [148, 133, 201, 118, 134, 262, 95, 158, 229, 225, 139, 240, 139, 132, 209, 207, 159, 175, 229, 96, 153, 205, 138, 160, 139, 150, 142, 91, 166, 142, 198, 157, 175, 202, 33, 192, 161, 188, 206, 148, 128, 135, 161, 104, 172, 149, 261, 110, 173, 165, 163, 146, 142, 152, 155, 203, 158, 150, 66, 167, 109, 65, 132, 186, 156, 96, 147, 140, 42, 152, 242, 167, 186, 118, 95, 173, 82, 146, 97, 175, 172, 188, 135, 200, 163, 124, 187, 134, 116, 204, 188, 149, 136, 128, 210, 100, 121, 120, 206, 46] Farthest Distance from Starting Position: [48, 19, 65, 26, 18, 80, 24, 30, 73, 66, 32, 100, 23, 40, 55, 35, 35, 34, 78, 23, 42, 75, 19, 42, 32, 30, 58, 19, 28, 37, 55, 44, 67, 39, 11, 76, 39, 48, 59, 39, 21, 43, 49, 30, 42, 25, 78, 27, 39, 38, 55, 29, 41, 35, 24, 43, 24, 35, 15, 38, 18, 21, 33, 76, 27, 29, 41, 30, 17, 37, 93, 47, 41, 18, 33, 49, 17, 54, 27, 32, 56, 44, 29, 34, 36, 17, 28, 52, 30, 76, 37, 34, 35, 18, 81, 37, 30, 21, 70, 14]

Cluster: 6Recurrent Walks: 85 out of 100 MaxCluster Vertices: 45383 Vertices covered: [176, 118, 131, 151, 142, 161, 111, 237, 116, 193, 133, 244, 172, 149, 222, 164, 148, 101, 178, 167, 67, 106, 111, 199, 219, 181, 116, 184, 136, 182, 209, 160, 243, 216, 163, 201, 241, 193, 131, 132, 126, 133, 163, 97, 226, 184, 245, 244, 109, 131, 173, 137, 141, 165, 140, 162, 169, 183, 171, 100, 133, 70, 197, 166, 156, 171, 135, 150, 158, 96, 138, 231, 205, 81, 212, 65, 36, 188, 96, 170, 64, 215, 138, 234, 152, 140, 118, 166, 198, 174, 175, 189, 111, 148, 195, 135, 223, 195, 173, 116] Farthest Distance from Starting Position: [26, 20, 40, 45, 46, 42, 21, 40, 29, 50, 30, 44, 48, 23, 52, 45, 51, 18, 34, 46, 17, 23, 21, 48, 79,

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36, 25, 45, 23, 51, 58, 30, 67, 51, 54, 56, 59, 55, 22, 30, 39, 27, 48, 24, 49, 39, 87, 60, 26, 28, 52, 32, 23, 22, 51, 49, 44, 51, 49, 12, 36, 17, 31, 33, 39, 54, 16, 24, 57, 15, 51, 64, 47, 14, 54, 21, 17, 66, 24, 26, 20, 67, 19, 94, 23, 34, 26, 40, 42, 58, 52, 47, 19, 41, 39, 35, 38, 66, 24, 14]

Cluster: 7Recurrent Walks: 81 out of 100 MaxCluster Vertices: 45241 Vertices covered: [236, 191, 160, 153, 161, 196, 192, 163, 109, 202, 157, 199, 116, 175, 139, 117, 130, 171, 192, 191, 158, 132, 134, 220, 165, 172, 105, 100, 186, 173, 195, 159, 139, 188, 142, 162, 186, 159, 71, 215, 205, 164, 108, 155, 177, 104, 169, 99, 210, 49, 113, 188, 175, 154, 200, 207, 69, 127, 218, 208, 131, 145, 190, 134, 157, 179, 168, 109, 197, 207, 119, 140, 136, 82, 207, 173, 168, 209, 135, 157, 176, 174, 114, 174, 156, 212, 189, 131, 128, 194, 130, 166, 140, 72, 120, 238, 188, 209, 226, 117] Farthest Distance from Starting Position: [94, 51, 38, 37, 61, 53, 51, 66, 28, 34, 37, 42, 45, 43, 36, 28, 39, 48, 47, 31, 51, 48, 20, 75, 38, 28, 25, 22, 54, 61, 50, 24, 32, 64, 37, 57, 76, 21, 18, 70, 30, 57, 23, 39, 30, 19, 35, 22, 72, 21, 25, 57, 21, 35, 69, 44, 12, 23, 71, 55, 20, 17, 37, 31, 26, 47, 23, 21, 37, 59, 24, 49, 27, 16, 40, 48, 39, 46, 31, 29, 52, 47, 32, 47, 49, 63, 62, 16, 21, 31, 27, 63, 31, 16, 27, 65, 31, 76, 55, 29]

Cluster: 8Recurrent Walks: 83 out of 100 MaxCluster Vertices: 45370 Vertices covered: [219, 138, 147, 74, 108, 182, 98, 214, 206, 154, 110, 134, 124, 126, 149, 103, 206, 136, 127, 157, 202, 136, 152, 180, 196, 194, 141, 222, 78, 135, 181, 190, 160, 153, 91, 134, 150, 128, 207, 147, 103, 93, 162, 196, 131, 187, 151, 113, 208, 185, 152, 116, 143, 130, 159, 172, 131, 144, 112, 92, 204, 165, 152, 253, 203, 199, 193, 180, 95, 196, 118, 168, 128, 248, 163, 118, 174, 164, 116, 248, 116, 157, 150, 114, 107, 149, 158, 56, 197, 147, 124, 199, 186, 187, 154, 135, 160, 226, 100, 123] Farthest Distance from Starting Position: [72, 40, 36, 38, 21, 61, 17, 45, 50, 23, 20, 52, 17, 25, 35, 15, 64, 30, 27, 34, 37, 24, 39, 29, 49, 73, 26, 78, 21, 20, 35, 39, 33, 29, 15, 24, 33, 19, 59, 34, 14, 18, 47, 75, 27, 56, 28, 14, 58, 71, 43, 15, 33, 17, 38, 51, 30, 32, 27, 33, 46, 28, 30, 107, 77, 39, 55, 69, 23, 78, 43, 32, 48, 101, 39, 12, 64, 24, 18, 81, 21, 31, 41, 27, 16, 53, 49, 26, 46, 46, 19, 26, 39, 46, 23, 31, 57, 41, 18, 29]

Cluster: 9Recurrent Walks: 87 out of 100 MaxCluster Vertices: 44927 Vertices covered: [144, 201, 157, 193, 174, 188, 150, 172, 152, 164, 211, 145, 249, 179, 81, 183, 176, 114, 176, 144, 93, 192, 181, 150, 103, 123, 216, 213, 197, 203, 133, 99, 114, 198, 186, 229, 185, 136, 137, 214, 163, 119, 197, 185, 213, 171, 206, 186, 140, 284, 188, 176, 137, 162, 156, 179, 150, 200, 170, 150, 174, 108, 170, 123, 191, 166, 177, 86, 164, 148, 114, 139, 146, 175, 215, 142, 188, 90, 165, 136, 127, 164, 182, 166, 121, 202, 209, 187, 222, 212, 85, 165, 117, 144, 192, 177, 210, 58, 177, 142]

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Farthest Distance from Starting Position: [29, 58, 29, 73, 19, 31, 52, 54, 28, 55, 57, 47, 79, 48, 19, 36, 33, 32, 56, 41, 25, 49, 27, 24, 33, 45, 74, 41, 45, 50, 51, 31, 25, 53, 47, 42, 28, 44, 32, 71, 30, 29, 46, 68, 57, 27, 88, 25, 20, 86, 33, 37, 34, 44, 30, 42, 27, 40, 32, 36, 41, 16, 34, 14, 65, 46, 44, 21, 41, 23, 27, 45, 29, 56, 40, 37, 23, 37, 46, 30, 26, 44, 62, 44, 30, 49, 54, 26, 57, 65, 38, 42, 14, 25, 27, 50, 44, 13, 49, 39]

Cluster: 10Recurrent Walks: 85 out of 100 MaxCluster Vertices: 45448 Vertices covered: [215, 208, 194, 151, 138, 185, 239, 138, 185, 195, 126, 191, 151, 103, 189, 188, 200, 261, 143, 270, 112, 135, 132, 120, 115, 153, 230, 185, 198, 97, 228, 186, 189, 199, 164, 208, 109, 169, 199, 250, 180, 165, 183, 82, 126, 136, 171, 139, 143, 54, 151, 182, 166, 199, 134, 178, 176, 166, 191, 220, 74, 274, 68, 103, 133, 252, 191, 181, 139, 148, 183, 124, 171, 181, 83, 193, 160, 258, 214, 147, 128, 124, 173, 122, 226, 175, 120, 234, 166, 170, 157, 188, 155, 125, 122, 122, 150, 203, 113, 137] Farthest Distance from Starting Position: [81, 53, 77, 34, 34, 55, 57, 17, 47, 72, 40, 47, 27, 27, 45, 36, 47, 80, 18, 89, 35, 41, 32, 31, 19, 24, 65, 24, 41, 32, 66, 59, 36, 57, 67, 58, 19, 46, 64, 74, 59, 56, 25, 29, 21, 20, 33, 26, 45, 11, 44, 50, 52, 66, 28, 37, 52, 42, 36, 75, 19, 111, 15, 33, 22, 48, 53, 53, 19, 44, 43, 20, 21, 24, 20, 55, 23, 76, 76, 49, 36, 36, 37, 45, 35, 35, 27, 53, 39, 54, 45, 74, 39, 25, 39, 18, 38, 60, 17, 32]

Probability: 0.25

Cluster: 1Recurrent Walks: 81 out of 100 MaxCluster Vertices: 47875 Vertices covered: [196, 220, 156, 65, 147, 252, 193, 176, 116, 203, 210, 158, 195, 128, 142, 143, 75, 77, 140, 188, 212, 230, 157, 153, 170, 225, 153, 239, 187, 213, 184, 171, 262, 120, 85, 276, 256, 299, 183, 222, 40, 306, 231, 174, 213, 233, 201, 152, 158, 214, 216, 199, 249, 187, 152, 225, 239, 162, 186, 251, 211, 144, 205, 156, 187, 232, 272, 135, 252, 121, 239, 243, 255, 233, 147, 95, 213, 147, 150, 88, 97, 207, 168, 164, 216, 200, 203, 147, 149, 88, 148, 194, 199, 169, 192, 154, 136, 140, 165, 211] Farthest Distance from Starting Position: [56, 82, 24, 16, 27, 41, 49, 29, 27, 35, 43, 42, 35, 33, 26, 27, 27, 16, 36, 31, 36, 56, 40, 25, 37, 90, 34, 43, 63, 50, 68, 29, 73, 26, 21, 92, 54, 117, 60, 76, 18, 145, 85, 28, 44, 52, 46, 42, 42, 60, 78, 48, 52, 29, 24, 70, 63, 27, 45, 69, 40, 29, 51, 47, 56, 54, 77, 21, 67, 36, 70, 64, 97, 68, 27, 23, 62, 26, 23, 13, 23, 54, 41, 64, 38, 42, 41, 25, 37, 15, 47, 37, 55, 49, 58, 24, 23, 27, 47, 71]

Cluster: 2Recurrent Walks: 73 out of 100 MaxCluster Vertices: 47690 Vertices covered: [166, 137, 151, 176, 119, 199, 239, 153, 176, 181, 108, 111, 209, 213, 241, 252, 175, 154, 191, 213, 235, 165, 200, 191, 139, 194, 163, 205, 202, 212, 129, 190, 206, 208, 246, 210, 187, 181, 218, 228, 211, 179, 191, 254, 152, 150, 220, 234, 152, 243, 156, 176, 156, 195, 102, 163, 161, 202, 164, 103, 186, 150, 198, 228, 170, 200, 247, 277, 115, 227, 237, 148, 134, 212, 186, 216, 206, 113, 233, 147,

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79, 204, 190, 198, 221, 133, 143, 213, 243, 189, 219, 160, 198, 202, 208, 254, 182, 199, 216, 148] Farthest Distance from Starting Position: [33, 21, 36, 45, 27, 67, 39, 28, 35, 40, 15, 20, 73, 79, 92, 69, 42, 33, 43, 39, 70, 64, 52, 29, 47, 71, 40, 52, 66, 57, 29, 53, 41, 50, 53, 56, 55, 43, 77, 64, 40, 42, 46, 101, 45, 29, 60, 61, 32, 57, 34, 38, 21, 27, 19, 51, 29, 54, 34, 22, 48, 39, 50, 60, 38, 49, 94, 107, 28, 61, 37, 31, 34, 85, 65, 71, 49, 22, 72, 43, 21, 55, 44, 42, 88, 21, 30, 79, 57, 34, 49, 30, 60, 71, 59, 82, 36, 64, 92, 20]

Cluster: 3Recurrent Walks: 78 out of 100 MaxCluster Vertices: 47307 Vertices covered: [166, 177, 251, 184, 209, 266, 154, 217, 182, 187, 211, 207, 148, 225, 78, 263, 86, 142, 212, 162, 102, 150, 168, 145, 207, 158, 205, 145, 178, 164, 187, 203, 178, 134, 95, 238, 177, 192, 180, 143, 226, 202, 206, 142, 204, 170, 155, 231, 101, 193, 97, 182, 241, 169, 129, 214, 248, 163, 139, 194, 96, 152, 159, 146, 192, 164, 218, 188, 194, 139, 202, 126, 188, 104, 180, 216, 168, 157, 212, 196, 209, 176, 151, 219, 144, 185, 186, 156, 203, 200, 190, 126, 169, 199, 208, 167, 218, 200, 137, 173] Farthest Distance from Starting Position: [28, 58, 70, 33, 93, 65, 33, 37, 26, 30, 43, 52, 24, 67, 14, 78, 23, 38, 48, 60, 38, 31, 42, 44, 58, 34, 47, 49, 35, 49, 61, 55, 20, 41, 13, 91, 55, 53, 58, 55, 57, 60, 63, 17, 51, 40, 17, 43, 25, 45, 18, 32, 56, 23, 38, 48, 72, 33, 35, 54, 35, 39, 29, 35, 47, 41, 53, 61, 69, 28, 57, 21, 38, 24, 22, 29, 31, 37, 42, 37, 68, 32, 57, 24, 34, 61, 47, 55, 64, 29, 59, 15, 31, 57, 75, 53, 67, 39, 31, 48]

Cluster: 4Recurrent Walks: 76 out of 100 MaxCluster Vertices: 47526 Vertices covered: [178, 170, 133, 181, 175, 211, 183, 151, 174, 151, 171, 156, 182, 185, 187, 155, 193, 221, 143, 277, 215, 140, 128, 255, 212, 212, 233, 152, 239, 228, 192, 183, 204, 184, 137, 116, 216, 209, 241, 122, 172, 207, 218, 131, 225, 186, 110, 192, 148, 137, 167, 169, 167, 213, 85, 111, 221, 262, 216, 173, 203, 216, 174, 211, 246, 145, 225, 113, 142, 243, 174, 172, 216, 159, 153, 162, 201, 142, 185, 89, 175, 187, 109, 183, 183, 215, 158, 148, 133, 174, 165, 139, 210, 117, 180, 271, 124, 162, 202, 187] Farthest Distance from Starting Position: [47, 30, 20, 49, 48, 44, 24, 64, 31, 46, 21, 49, 45, 52, 50, 41, 76, 64, 23, 63, 72, 46, 22, 95, 27, 40, 90, 33, 86, 74, 45, 49, 32, 38, 30, 17, 66, 65, 61, 30, 32, 37, 70, 33, 61, 45, 32, 52, 23, 24, 57, 39, 39, 57, 19, 16, 80, 93, 41, 28, 52, 59, 63, 61, 93, 50, 40, 35, 20, 58, 20, 55, 68, 37, 62, 37, 44, 32, 38, 15, 59, 28, 33, 58, 56, 74, 35, 33, 20, 56, 26, 65, 69, 42, 32, 81, 25, 24, 39, 30]

Cluster: 5Recurrent Walks: 80 out of 100 MaxCluster Vertices: 47437 Vertices covered: [183, 161, 207, 107, 160, 92, 200, 169, 183, 275, 185, 174, 138, 207, 130, 236, 232, 296, 131, 186, 214, 185, 238, 175, 221, 213, 220, 246, 180, 198, 235, 114, 246, 163, 170, 93, 118, 139, 207, 234, 208, 102, 233, 261, 175, 184, 157, 232, 217, 197, 184, 196, 175, 167, 179, 202, 143, 222, 112, 205, 170, 207, 176, 189, 156, 208, 175, 178, 242, 137, 33, 133, 162, 224, 181, 172, 175, 167, 221, 161, 196,

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202, 197, 215, 219, 153, 177, 241, 202, 158, 129, 224, 195, 253, 72, 175, 203, 162, 100, 118] Farthest Distance from Starting Position: [37, 34, 78, 32, 56, 19, 22, 35, 42, 96, 38, 50, 26, 67, 22, 48, 70, 132, 20, 43, 71, 41, 77, 39, 76, 35, 29, 66, 33, 52, 65, 32, 54, 37, 49, 16, 25, 26, 58, 72, 83, 24, 67, 93, 30, 52, 50, 55, 56, 24, 32, 67, 52, 48, 75, 68, 26, 32, 37, 25, 44, 65, 30, 59, 30, 56, 78, 59, 75, 31, 11, 22, 45, 80, 31, 50, 41, 33, 102, 46, 58, 68, 34, 41, 61, 48, 70, 75, 69, 25, 19, 41, 47, 92, 17, 37, 39, 46, 20, 22]

Cluster: 6Recurrent Walks: 82 out of 100 MaxCluster Vertices: 47326 Vertices covered: [169, 214, 124, 243, 170, 188, 86, 236, 142, 199, 196, 204, 130, 224, 157, 186, 210, 168, 194, 197, 185, 118, 231, 224, 136, 143, 178, 139, 154, 220, 171, 214, 183, 203, 247, 273, 172, 126, 134, 184, 205, 294, 99, 105, 164, 129, 168, 141, 224, 144, 186, 249, 195, 241, 253, 228, 198, 263, 179, 91, 231, 222, 189, 218, 92, 206, 218, 232, 174, 206, 156, 144, 147, 193, 237, 151, 276, 132, 86, 150, 179, 161, 205, 229, 80, 188, 196, 203, 224, 186, 142, 211, 146, 166, 183, 153, 150, 113, 171, 181] Farthest Distance from Starting Position: [61, 33, 18, 67, 33, 60, 39, 55, 27, 35, 47, 53, 35, 28, 40, 24, 75, 39, 63, 26, 40, 27, 38, 70, 29, 24, 33, 22, 25, 40, 46, 67, 17, 70, 85, 95, 26, 24, 42, 46, 77, 125, 21, 17, 32, 17, 44, 20, 56, 37, 48, 75, 79, 67, 89, 83, 48, 55, 41, 16, 43, 26, 46, 35, 21, 68, 59, 57, 32, 28, 25, 42, 30, 45, 94, 25, 65, 56, 21, 52, 51, 41, 72, 58, 31, 42, 53, 77, 52, 31, 26, 57, 24, 35, 30, 31, 38, 17, 65, 59]

Cluster: 7Recurrent Walks: 86 out of 100 MaxCluster Vertices: 47342 Vertices covered: [210, 121, 163, 214, 219, 130, 213, 202, 158, 238, 224, 232, 50, 200, 184, 195, 214, 83, 231, 130, 116, 108, 178, 207, 161, 215, 128, 205, 142, 226, 99, 162, 185, 193, 67, 160, 180, 187, 90, 140, 189, 195, 225, 224, 228, 279, 201, 128, 95, 96, 261, 175, 249, 162, 231, 137, 218, 101, 164, 188, 161, 219, 189, 182, 201, 149, 60, 94, 207, 183, 186, 206, 149, 270, 150, 189, 115, 84, 156, 183, 150, 270, 147, 206, 154, 31, 156, 168, 162, 185, 164, 251, 211, 170, 221, 154, 142, 158, 182, 196] Farthest Distance from Starting Position: [47, 29, 32, 83, 47, 22, 65, 48, 57, 77, 53, 66, 12, 46, 52, 61, 85, 15, 68, 36, 19, 32, 34, 69, 46, 74, 21, 47, 23, 73, 24, 35, 37, 56, 18, 32, 39, 77, 29, 34, 36, 28, 43, 66, 83, 87, 59, 30, 18, 29, 33, 54, 48, 22, 44, 24, 23, 22, 21, 39, 58, 36, 28, 44, 59, 47, 28, 24, 46, 60, 33, 55, 23, 84, 46, 49, 21, 20, 47, 52, 29, 103, 17, 55, 35, 9, 38, 31, 37, 65, 37, 72, 62, 32, 27, 37, 21, 27, 37, 62]

Cluster: 8Recurrent Walks: 79 out of 100 MaxCluster Vertices: 46875 Vertices covered: [188, 177, 138, 168, 164, 160, 162, 178, 253, 79, 190, 134, 236, 118, 210, 189, 196, 132, 212, 212, 144, 168, 135, 139, 195, 137, 129, 146, 220, 176, 146, 223, 191, 208, 243, 277, 200, 196, 261, 171, 190, 219, 240, 161, 155, 140, 272, 141, 198, 219, 245, 76, 238, 232, 197, 198, 165, 235, 198, 179, 269, 190, 164, 205, 203, 158, 157, 151, 277, 240, 179, 178, 298, 147, 259, 235, 150, 66, 136, 165, 238,

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214, 194, 165, 205, 214, 243, 192, 198, 151, 201, 64, 181, 69, 234, 233, 165, 167, 227, 251] Farthest Distance from Starting Position: [32, 52, 48, 46, 34, 50, 68, 43, 44, 14, 50, 40, 87, 32, 70, 31, 36, 43, 60, 65, 30, 30, 40, 21, 54, 22, 32, 38, 33, 41, 34, 48, 59, 52, 93, 107, 55, 31, 97, 44, 26, 83, 59, 28, 51, 16, 89, 24, 54, 71, 82, 13, 87, 54, 72, 64, 33, 78, 41, 30, 81, 46, 33, 61, 28, 60, 29, 19, 55, 90, 42, 48, 94, 38, 76, 55, 29, 18, 27, 26, 91, 60, 76, 53, 61, 80, 70, 22, 58, 40, 62, 20, 41, 19, 65, 85, 59, 46, 73, 40]

Cluster: 9Recurrent Walks: 82 out of 100 MaxCluster Vertices: 47468 Vertices covered: [201, 151, 92, 254, 247, 263, 204, 185, 210, 224, 120, 187, 154, 196, 239, 190, 217, 209, 112, 194, 211, 140, 229, 118, 123, 163, 126, 149, 190, 134, 187, 270, 144, 265, 179, 187, 199, 179, 130, 241, 191, 174, 162, 176, 136, 256, 199, 115, 224, 274, 117, 228, 164, 159, 100, 231, 198, 194, 184, 257, 46, 196, 241, 193, 164, 245, 128, 188, 149, 122, 168, 263, 234, 150, 120, 270, 198, 153, 156, 177, 231, 228, 167, 206, 177, 231, 234, 186, 190, 114, 163, 203, 140, 142, 66, 187, 155, 122, 162, 297] Farthest Distance from Starting Position: [36, 46, 19, 71, 33, 36, 59, 58, 40, 89, 44, 59, 42, 29, 84, 39, 68, 73, 28, 50, 61, 41, 65, 37, 28, 39, 22, 25, 66, 36, 54, 101, 32, 87, 49, 56, 59, 57, 27, 65, 62, 49, 44, 41, 25, 116, 37, 25, 62, 93, 39, 53, 53, 38, 31, 70, 45, 44, 21, 72, 11, 35, 62, 45, 19, 70, 23, 42, 31, 34, 54, 53, 53, 27, 24, 86, 58, 22, 22, 24, 34, 49, 38, 68, 45, 52, 53, 58, 65, 24, 39, 77, 33, 42, 16, 65, 20, 40, 56, 84]

Cluster: 10Recurrent Walks: 76 out of 100 MaxCluster Vertices: 47529 Vertices covered: [105, 158, 280, 138, 250, 143, 235, 160, 173, 166, 134, 118, 153, 197, 230, 153, 134, 143, 161, 166, 174, 165, 235, 256, 184, 231, 171, 195, 192, 180, 195, 106, 162, 174, 158, 250, 225, 177, 163, 89, 191, 160, 138, 232, 221, 208, 173, 242, 251, 170, 147, 175, 221, 129, 196, 203, 251, 193, 100, 86, 189, 149, 264, 184, 201, 192, 192, 187, 172, 90, 185, 235, 115, 173, 225, 193, 222, 213, 194, 270, 215, 166, 159, 172, 168, 170, 253, 181, 233, 243, 56, 127, 97, 165, 186, 261, 204, 176, 75, 142] Farthest Distance from Starting Position: [25, 18, 97, 45, 76, 24, 76, 26, 22, 16, 62, 33, 24, 31, 73, 28, 32, 18, 58, 42, 29, 38, 86, 62, 51, 72, 22, 35, 43, 64, 65, 13, 45, 24, 45, 60, 79, 65, 28, 27, 68, 46, 25, 68, 34, 45, 60, 78, 72, 26, 37, 53, 40, 23, 52, 72, 91, 40, 32, 30, 43, 29, 75, 33, 73, 19, 61, 42, 49, 18, 43, 87, 38, 27, 85, 43, 35, 82, 54, 113, 41, 30, 37, 45, 52, 45, 63, 21, 104, 56, 25, 21, 19, 35, 67, 81, 31, 24, 29, 36]

Probability: 0.26

Cluster: 1Recurrent Walks: 82 out of 100 MaxCluster Vertices: 49494 Vertices covered: [253, 204, 245, 222, 197, 208, 131, 229, 211, 211, 206, 172, 194, 198, 174, 190, 136, 213, 217, 167, 163, 191, 136, 222, 178, 239, 210, 164, 208, 76, 171, 236, 151, 176, 172, 200, 221, 142, 218, 136, 232, 160, 141, 165, 154, 148, 217, 212, 279, 223, 245, 190,

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277, 155, 206, 160, 227, 244, 238, 180, 196, 231, 200, 256, 278, 109, 227, 117, 206, 230, 227, 100, 239, 227, 166, 238, 179, 259, 227, 214, 188, 182, 227, 216, 213, 209, 215, 173, 282, 233, 218, 236, 204, 181, 228, 234, 256, 151, 217, 163] Farthest Distance from Starting Position: [56, 28, 91, 51, 63, 43, 25, 55, 44, 70, 54, 30, 69, 41, 42, 50, 20, 58, 62, 41, 33, 48, 22, 46, 46, 76, 71, 46, 43, 17, 23, 46, 41, 65, 32, 46, 46, 17, 40, 25, 47, 46, 15, 25, 47, 24, 49, 34, 110, 57, 88, 61, 107, 31, 58, 47, 85, 71, 78, 52, 45, 45, 63, 79, 55, 20, 51, 21, 66, 55, 91, 22, 51, 53, 20, 67, 41, 57, 86, 27, 25, 52, 31, 68, 84, 31, 31, 40, 52, 76, 76, 72, 57, 45, 79, 52, 94, 33, 64, 37]

Cluster: 2Recurrent Walks: 80 out of 100 MaxCluster Vertices: 49631 Vertices covered: [152, 167, 138, 272, 227, 225, 142, 203, 236, 253, 207, 266, 237, 262, 223, 243, 240, 162, 236, 186, 302, 215, 253, 288, 209, 305, 265, 188, 235, 145, 233, 184, 256, 219, 230, 184, 212, 207, 133, 250, 180, 223, 75, 218, 158, 228, 188, 221, 245, 184, 209, 200, 206, 279, 178, 203, 269, 261, 239, 262, 275, 229, 144, 215, 155, 198, 191, 200, 245, 246, 224, 258, 195, 230, 105, 210, 280, 210, 160, 260, 155, 221, 209, 203, 242, 204, 245, 184, 165, 224, 123, 172, 252, 196, 160, 229, 202, 154, 165, 160] Farthest Distance from Starting Position: [28, 41, 38, 79, 30, 62, 41, 43, 43, 46, 64, 79, 81, 90, 60, 62, 75, 24, 58, 60, 97, 70, 52, 104, 52, 111, 77, 56, 68, 36, 51, 54, 75, 71, 70, 51, 73, 42, 30, 60, 24, 43, 30, 47, 38, 69, 25, 60, 75, 32, 34, 66, 73, 95, 33, 68, 97, 57, 101, 83, 72, 66, 16, 73, 28, 28, 54, 35, 63, 55, 47, 71, 63, 58, 42, 59, 65, 64, 30, 46, 47, 49, 66, 37, 54, 38, 41, 51, 20, 58, 26, 72, 68, 66, 25, 36, 57, 43, 24, 35]

Cluster: 3Recurrent Walks: 84 out of 100 MaxCluster Vertices: 49324 Vertices covered: [184, 134, 175, 200, 168, 232, 260, 225, 252, 174, 216, 233, 154, 212, 306, 198, 155, 215, 204, 184, 151, 154, 277, 148, 244, 178, 238, 169, 239, 198, 252, 212, 207, 248, 264, 147, 203, 210, 301, 211, 134, 243, 244, 234, 171, 139, 207, 207, 265, 214, 179, 196, 182, 200, 260, 153, 207, 246, 134, 163, 194, 271, 186, 137, 179, 205, 178, 269, 193, 219, 220, 178, 183, 218, 166, 256, 223, 94, 229, 235, 249, 156, 147, 220, 283, 226, 188, 141, 238, 189, 273, 178, 213, 236, 240, 136, 217, 269, 176, 207] Farthest Distance from Starting Position: [49, 15, 62, 50, 45, 68, 87, 52, 45, 66, 68, 35, 30, 46, 110, 61, 19, 72, 26, 35, 33, 39, 93, 38, 72, 38, 62, 39, 64, 54, 97, 70, 54, 72, 78, 47, 61, 39, 112, 32, 28, 41, 80, 46, 36, 36, 50, 37, 98, 49, 33, 54, 59, 70, 81, 19, 57, 84, 30, 20, 42, 81, 88, 29, 30, 41, 35, 79, 42, 61, 64, 48, 70, 73, 62, 53, 62, 26, 55, 95, 87, 26, 43, 40, 55, 45, 31, 21, 83, 56, 62, 35, 60, 70, 79, 30, 74, 94, 51, 42]

Cluster: 4Recurrent Walks: 78 out of 100 MaxCluster Vertices: 48968 Vertices covered: [175, 187, 241, 179, 192, 229, 216, 180, 190, 230, 253, 246, 265, 182, 190, 156, 216, 163, 131, 162, 232, 203, 192, 271, 145, 125, 250, 203, 204, 278, 232, 203, 214, 160, 223, 205, 197, 225, 171, 228, 280, 213, 228, 161, 214, 191, 171, 270, 221, 211, 267, 158,

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217, 228, 229, 195, 219, 198, 169, 194, 143, 215, 172, 165, 209, 200, 198, 223, 145, 199, 250, 224, 174, 256, 172, 244, 262, 201, 259, 173, 219, 194, 185, 282, 227, 207, 186, 240, 211, 226, 244, 132, 142, 192, 192, 256, 175, 113, 142, 136] Farthest Distance from Starting Position: [63, 45, 50, 42, 35, 56, 47, 53, 60, 53, 75, 78, 100, 41, 51, 37, 39, 43, 29, 36, 66, 31, 26, 81, 31, 36, 75, 69, 52, 71, 58, 69, 54, 48, 37, 83, 51, 81, 42, 74, 72, 58, 83, 73, 68, 56, 37, 90, 34, 42, 49, 18, 28, 60, 38, 33, 60, 34, 20, 63, 35, 70, 33, 24, 50, 35, 43, 62, 35, 53, 73, 56, 29, 61, 19, 64, 96, 65, 33, 53, 59, 43, 55, 52, 73, 50, 54, 80, 56, 44, 97, 17, 30, 51, 65, 53, 54, 30, 26, 22]

Cluster: 5Recurrent Walks: 78 out of 100 MaxCluster Vertices: 49192 Vertices covered: [112, 235, 225, 227, 201, 184, 222, 177, 165, 293, 279, 240, 225, 205, 218, 195, 207, 105, 191, 231, 150, 182, 251, 230, 232, 188, 209, 197, 191, 189, 216, 187, 230, 222, 140, 206, 175, 228, 220, 259, 189, 135, 161, 254, 167, 219, 238, 121, 247, 193, 179, 157, 236, 216, 253, 197, 197, 217, 213, 197, 258, 161, 199, 249, 200, 263, 169, 185, 198, 205, 206, 254, 227, 149, 193, 255, 210, 233, 214, 207, 190, 179, 202, 247, 149, 204, 228, 159, 240, 226, 141, 197, 193, 169, 181, 248, 248, 224, 196, 197] Farthest Distance from Starting Position: [27, 66, 34, 86, 30, 36, 36, 31, 28, 120, 113, 39, 50, 38, 47, 41, 59, 36, 39, 84, 27, 58, 42, 80, 60, 40, 34, 49, 72, 47, 62, 39, 43, 20, 39, 56, 44, 36, 80, 60, 58, 31, 23, 78, 30, 38, 76, 23, 42, 37, 38, 67, 87, 67, 80, 61, 45, 80, 56, 60, 87, 29, 32, 67, 26, 91, 36, 54, 18, 34, 27, 97, 44, 26, 39, 77, 52, 70, 40, 31, 37, 26, 64, 68, 33, 21, 59, 17, 74, 62, 28, 24, 38, 30, 41, 83, 41, 54, 55, 52]

Cluster: 6Recurrent Walks: 74 out of 100 MaxCluster Vertices: 49235 Vertices covered: [237, 170, 178, 200, 214, 216, 201, 217, 249, 147, 254, 91, 224, 206, 262, 189, 162, 158, 190, 222, 228, 215, 215, 212, 195, 232, 208, 304, 156, 203, 192, 112, 225, 167, 176, 272, 236, 195, 241, 185, 136, 217, 259, 161, 279, 239, 254, 145, 250, 236, 199, 248, 219, 135, 230, 255, 170, 181, 229, 164, 264, 225, 154, 168, 262, 202, 188, 131, 191, 215, 159, 214, 189, 201, 231, 107, 230, 169, 203, 196, 226, 138, 126, 142, 193, 90, 112, 227, 212, 205, 223, 284, 156, 203, 200, 202, 259, 188, 281, 227] Farthest Distance from Starting Position: [89, 29, 41, 55, 90, 47, 45, 72, 87, 26, 75, 14, 70, 61, 100, 32, 37, 58, 37, 60, 61, 68, 54, 44, 36, 50, 37, 110, 26, 35, 70, 13, 60, 49, 46, 119, 61, 46, 44, 62, 22, 67, 31, 38, 74, 71, 36, 18, 58, 85, 23, 45, 96, 37, 76, 61, 54, 26, 71, 47, 86, 90, 38, 22, 97, 91, 34, 24, 39, 74, 34, 52, 49, 32, 96, 50, 64, 66, 37, 67, 91, 21, 39, 41, 38, 18, 39, 60, 64, 35, 68, 93, 29, 45, 37, 47, 68, 24, 81, 35]

Cluster: 7Recurrent Walks: 74 out of 100 MaxCluster Vertices: 49117 Vertices covered: [183, 154, 169, 235, 213, 260, 220, 238, 193, 210, 255, 245, 217, 208, 159, 244, 220, 211, 187, 220, 147, 132, 216, 189, 154, 237, 206, 163, 170, 175, 251, 196, 225, 208, 220, 162, 175, 221, 188, 215, 131, 220, 157, 254, 223, 230, 191, 203, 120, 264, 229, 288,

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237, 218, 238, 223, 198, 190, 262, 193, 79, 196, 222, 216, 141, 161, 235, 226, 124, 222, 228, 210, 165, 177, 171, 229, 230, 219, 238, 206, 246, 255, 171, 190, 151, 143, 235, 240, 173, 192, 214, 253, 170, 242, 256, 187, 260, 243, 201, 226] Farthest Distance from Starting Position: [64, 41, 23, 24, 69, 88, 30, 53, 44, 33, 84, 38, 37, 37, 28, 55, 41, 52, 39, 43, 40, 34, 34, 47, 25, 46, 56, 29, 51, 41, 96, 61, 35, 49, 30, 42, 45, 29, 56, 35, 31, 28, 23, 69, 81, 56, 31, 38, 34, 57, 43, 113, 46, 54, 29, 51, 27, 65, 67, 62, 23, 72, 55, 78, 34, 44, 26, 66, 23, 48, 31, 43, 27, 49, 55, 83, 63, 51, 67, 54, 70, 102, 58, 28, 16, 20, 53, 73, 24, 53, 60, 96, 46, 74, 69, 51, 80, 69, 53, 30]

Cluster: 8Recurrent Walks: 86 out of 100 MaxCluster Vertices: 49018 Vertices covered: [205, 168, 192, 162, 237, 164, 193, 237, 193, 198, 165, 246, 274, 262, 213, 194, 241, 188, 171, 241, 206, 188, 164, 161, 285, 186, 203, 190, 162, 234, 204, 232, 187, 214, 178, 197, 176, 205, 288, 158, 243, 223, 242, 215, 238, 214, 199, 213, 134, 221, 194, 265, 229, 184, 184, 235, 180, 186, 223, 293, 131, 198, 178, 235, 156, 183, 211, 192, 176, 175, 197, 221, 248, 266, 266, 219, 261, 121, 148, 211, 236, 125, 201, 183, 296, 166, 195, 137, 228, 242, 233, 186, 144, 227, 203, 224, 215, 283, 194, 204] Farthest Distance from Starting Position: [47, 51, 52, 28, 57, 49, 48, 66, 63, 95, 15, 104, 73, 42, 43, 36, 65, 32, 49, 78, 31, 63, 19, 22, 108, 60, 54, 52, 42, 74, 66, 36, 34, 39, 34, 51, 42, 36, 99, 32, 49, 50, 59, 47, 47, 54, 30, 39, 43, 67, 40, 58, 57, 34, 51, 45, 29, 35, 39, 130, 32, 25, 37, 60, 37, 49, 32, 57, 32, 45, 63, 41, 53, 70, 76, 24, 61, 15, 18, 41, 87, 32, 46, 39, 83, 30, 36, 31, 46, 69, 76, 80, 17, 48, 46, 30, 63, 90, 45, 74]

Cluster: 9Recurrent Walks: 84 out of 100 MaxCluster Vertices: 49206 Vertices covered: [134, 184, 141, 176, 179, 136, 153, 217, 209, 233, 180, 239, 238, 241, 190, 158, 227, 226, 210, 264, 177, 145, 131, 231, 324, 201, 245, 185, 187, 186, 157, 249, 226, 177, 234, 142, 223, 236, 210, 196, 219, 144, 227, 238, 221, 263, 149, 139, 104, 179, 192, 225, 139, 208, 163, 214, 265, 198, 166, 186, 185, 204, 214, 261, 163, 153, 184, 201, 152, 225, 274, 132, 241, 188, 196, 151, 215, 274, 207, 257, 266, 146, 250, 221, 244, 128, 206, 154, 232, 230, 103, 146, 203, 182, 253, 238, 254, 133, 186, 258] Farthest Distance from Starting Position: [32, 26, 45, 38, 61, 29, 47, 57, 42, 53, 41, 83, 38, 73, 43, 41, 71, 40, 64, 67, 28, 29, 25, 35, 59, 79, 90, 29, 62, 37, 43, 71, 73, 24, 36, 44, 79, 57, 31, 56, 56, 29, 52, 66, 51, 42, 36, 41, 42, 36, 58, 72, 24, 40, 30, 30, 108, 71, 27, 54, 57, 48, 28, 94, 23, 20, 58, 57, 37, 79, 121, 30, 58, 46, 41, 35, 42, 40, 38, 87, 110, 36, 65, 69, 105, 21, 64, 35, 74, 43, 16, 26, 43, 42, 32, 74, 52, 32, 42, 91]

Cluster: 10Recurrent Walks: 72 out of 100 MaxCluster Vertices: 49247 Vertices covered: [169, 229, 223, 140, 252, 198, 300, 202, 189, 216, 265, 212, 157, 245, 197, 161, 216, 248, 232, 273, 175, 286, 223, 142, 122, 271, 156, 228, 232, 248, 289, 222, 157, 204, 186, 174, 238, 206, 254, 152, 201, 96, 148, 236, 246, 207, 195, 270, 119, 175, 180, 176,

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235, 141, 224, 103, 184, 165, 170, 250, 162, 122, 150, 242, 180, 187, 226, 180, 100, 214, 237, 30, 219, 292, 253, 253, 193, 185, 141, 211, 216, 210, 202, 176, 236, 205, 206, 216, 223, 146, 264, 204, 126, 178, 250, 221, 196, 192, 210, 124] Farthest Distance from Starting Position: [41, 42, 31, 24, 77, 63, 112, 45, 36, 46, 86, 60, 18, 70, 42, 32, 30, 61, 86, 110, 57, 134, 83, 33, 60, 92, 20, 41, 78, 85, 85, 35, 29, 42, 47, 24, 90, 57, 69, 60, 31, 21, 31, 91, 87, 56, 51, 107, 32, 42, 48, 60, 84, 34, 81, 19, 58, 33, 34, 75, 44, 16, 46, 67, 26, 42, 64, 50, 26, 34, 47, 9, 83, 130, 88, 55, 51, 69, 25, 55, 88, 50, 25, 23, 48, 64, 28, 71, 67, 40, 90, 55, 21, 35, 88, 57, 43, 60, 55, 18]

Probability: 0.27

Cluster: 1Recurrent Walks: 79 out of 100 MaxCluster Vertices: 50627 Vertices covered: [265, 279, 251, 273, 231, 218, 206, 286, 283, 195, 269, 235, 212, 229, 170, 231, 216, 169, 230, 239, 213, 223, 192, 260, 194, 226, 198, 239, 266, 195, 194, 256, 244, 89, 205, 164, 166, 187, 309, 179, 171, 265, 194, 154, 190, 257, 107, 219, 247, 202, 239, 188, 267, 163, 201, 235, 148, 254, 272, 133, 216, 234, 228, 224, 288, 91, 215, 158, 232, 223, 158, 185, 208, 259, 220, 254, 99, 246, 178, 223, 267, 192, 215, 250, 262, 198, 262, 234, 201, 263, 254, 256, 219, 232, 213, 223, 219, 234, 265, 302] Farthest Distance from Starting Position: [48, 77, 69, 76, 81, 47, 59, 36, 105, 45, 111, 62, 37, 48, 55, 30, 51, 29, 72, 92, 40, 62, 19, 74, 38, 51, 48, 59, 71, 43, 31, 61, 38, 28, 72, 33, 41, 50, 82, 21, 47, 28, 37, 30, 43, 66, 17, 101, 81, 40, 67, 28, 65, 40, 38, 43, 32, 50, 112, 24, 62, 42, 68, 46, 67, 25, 55, 39, 43, 63, 45, 68, 69, 47, 63, 65, 18, 39, 35, 77, 65, 43, 65, 84, 101, 49, 66, 64, 37, 92, 66, 100, 49, 52, 44, 69, 66, 74, 107, 89]

Cluster: 2Recurrent Walks: 76 out of 100 MaxCluster Vertices: 50853 Vertices covered: [203, 233, 226, 181, 158, 208, 221, 270, 201, 226, 229, 173, 163, 260, 253, 219, 209, 122, 219, 261, 265, 260, 237, 250, 208, 308, 163, 212, 242, 224, 210, 225, 284, 209, 189, 284, 240, 229, 282, 270, 132, 234, 266, 254, 201, 188, 255, 240, 147, 218, 251, 206, 179, 252, 203, 182, 206, 235, 202, 249, 186, 237, 265, 265, 214, 198, 166, 290, 239, 175, 201, 269, 269, 235, 252, 189, 268, 307, 177, 280, 193, 283, 233, 177, 197, 155, 307, 152, 236, 194, 233, 219, 223, 265, 235, 226, 202, 276, 153, 275] Farthest Distance from Starting Position: [66, 51, 51, 40, 55, 82, 78, 34, 65, 79, 52, 62, 35, 42, 48, 61, 63, 29, 45, 35, 109, 72, 90, 109, 20, 49, 32, 22, 71, 51, 26, 79, 61, 75, 57, 67, 28, 51, 135, 85, 26, 34, 86, 65, 38, 68, 66, 87, 45, 45, 36, 79, 73, 93, 70, 35, 60, 55, 58, 62, 39, 58, 93, 90, 63, 43, 49, 113, 64, 49, 40, 72, 58, 59, 44, 46, 77, 91, 43, 43, 38, 53, 43, 30, 66, 52, 94, 55, 47, 31, 34, 60, 36, 96, 40, 42, 48, 90, 40, 77]

Cluster: 3Recurrent Walks: 73 out of 100 MaxCluster Vertices: 50471 Vertices covered: [288, 238, 299, 211, 270, 255, 267, 208, 232, 270, 155, 249, 308, 185, 186, 268, 193, 233, 249, 273, 240, 284, 247, 178,

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245, 204, 253, 220, 179, 180, 226, 230, 100, 258, 209, 224, 310, 210, 196, 205, 278, 195, 201, 270, 215, 150, 208, 235, 183, 222, 236, 214, 187, 160, 206, 203, 254, 236, 149, 165, 269, 276, 163, 275, 281, 247, 233, 238, 204, 296, 208, 151, 231, 193, 289, 333, 279, 236, 224, 242, 231, 247, 166, 289, 185, 229, 253, 235, 235, 273, 202, 294, 265, 293, 271, 210, 184, 314, 148, 208] Farthest Distance from Starting Position: [94, 56, 48, 54, 110, 85, 50, 31, 55, 86, 30, 46, 88, 43, 69, 81, 57, 87, 85, 63, 68, 63, 65, 55, 46, 41, 63, 48, 32, 28, 51, 41, 37, 82, 27, 38, 97, 45, 37, 36, 87, 54, 38, 84, 43, 18, 64, 48, 62, 46, 55, 43, 51, 21, 37, 50, 68, 34, 29, 36, 76, 89, 41, 80, 101, 69, 62, 72, 39, 95, 58, 20, 53, 48, 89, 63, 90, 39, 50, 34, 54, 59, 46, 110, 30, 41, 54, 70, 53, 96, 63, 128, 61, 92, 42, 37, 46, 77, 28, 71]

Cluster: 4Recurrent Walks: 78 out of 100 MaxCluster Vertices: 50725 Vertices covered: [245, 236, 228, 261, 180, 233, 300, 233, 217, 248, 213, 201, 183, 220, 152, 211, 232, 176, 131, 211, 204, 148, 224, 193, 243, 263, 191, 177, 161, 120, 96, 231, 226, 229, 173, 292, 246, 168, 158, 176, 231, 268, 231, 214, 181, 129, 192, 212, 270, 215, 213, 167, 201, 237, 242, 212, 287, 271, 264, 254, 181, 205, 210, 146, 211, 218, 242, 224, 215, 204, 214, 107, 226, 243, 256, 223, 263, 221, 207, 231, 207, 169, 188, 203, 261, 174, 243, 250, 232, 203, 279, 176, 176, 173, 225, 174, 257, 276, 268, 175] Farthest Distance from Starting Position: [61, 58, 82, 45, 23, 80, 105, 45, 26, 69, 50, 38, 33, 57, 24, 54, 46, 44, 54, 62, 51, 45, 60, 71, 58, 103, 58, 30, 25, 37, 17, 32, 70, 76, 26, 75, 54, 30, 35, 66, 56, 70, 45, 26, 40, 21, 66, 36, 93, 43, 50, 51, 63, 73, 43, 71, 117, 80, 92, 79, 58, 70, 25, 31, 62, 56, 55, 87, 47, 37, 66, 36, 57, 55, 60, 46, 118, 38, 81, 49, 47, 39, 39, 65, 102, 33, 74, 62, 70, 51, 63, 34, 56, 45, 42, 26, 68, 64, 98, 26]

Cluster: 5Recurrent Walks: 80 out of 100 MaxCluster Vertices: 50541 Vertices covered: [274, 229, 225, 169, 277, 220, 273, 234, 221, 114, 172, 186, 214, 237, 249, 253, 235, 192, 226, 188, 224, 217, 235, 227, 250, 223, 254, 274, 257, 140, 247, 251, 277, 219, 240, 223, 170, 169, 223, 291, 246, 166, 253, 209, 232, 237, 231, 208, 251, 288, 269, 278, 233, 236, 229, 237, 276, 237, 236, 164, 276, 231, 282, 180, 188, 181, 229, 346, 122, 230, 185, 175, 225, 240, 257, 218, 196, 189, 241, 206, 221, 257, 216, 234, 223, 203, 275, 187, 235, 231, 159, 169, 204, 183, 231, 167, 270, 202, 241, 222] Farthest Distance from Starting Position: [48, 34, 27, 49, 87, 34, 95, 66, 36, 23, 22, 22, 58, 44, 62, 88, 64, 28, 45, 69, 31, 67, 57, 35, 92, 45, 81, 49, 40, 15, 65, 103, 92, 65, 36, 36, 31, 29, 64, 98, 69, 26, 60, 70, 84, 38, 75, 57, 77, 96, 98, 72, 56, 56, 75, 33, 104, 70, 84, 58, 38, 65, 70, 24, 52, 58, 75, 144, 36, 77, 47, 38, 86, 98, 112, 27, 55, 54, 87, 50, 51, 27, 56, 29, 71, 19, 67, 45, 60, 71, 32, 27, 38, 34, 56, 27, 54, 39, 60, 59]

Cluster: 6Recurrent Walks: 84 out of 100 MaxCluster Vertices: 50778 Vertices covered: [228, 166, 217, 225, 225, 261, 179, 196, 297, 212, 232, 194, 184, 176, 175, 251, 229, 163, 260, 237, 252, 268, 226, 251,

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212, 133, 311, 270, 232, 166, 294, 217, 214, 209, 234, 230, 266, 263, 240, 206, 211, 216, 187, 150, 222, 282, 221, 238, 192, 214, 234, 191, 269, 193, 216, 130, 220, 287, 217, 257, 240, 175, 178, 206, 191, 198, 218, 209, 196, 175, 190, 249, 316, 198, 279, 252, 142, 276, 190, 222, 168, 236, 187, 247, 166, 210, 255, 239, 275, 241, 250, 203, 261, 246, 195, 267, 229, 184, 198, 224] Farthest Distance from Starting Position: [59, 29, 59, 75, 28, 64, 24, 19, 99, 47, 56, 51, 47, 29, 47, 39, 63, 34, 83, 28, 93, 69, 84, 71, 33, 46, 107, 45, 78, 29, 105, 65, 60, 32, 42, 85, 40, 40, 41, 32, 33, 43, 54, 33, 36, 111, 48, 90, 41, 82, 61, 45, 57, 37, 45, 28, 41, 61, 22, 69, 48, 27, 51, 40, 73, 29, 75, 50, 77, 37, 81, 72, 100, 49, 88, 68, 16, 64, 46, 39, 30, 48, 53, 48, 35, 65, 54, 58, 85, 83, 83, 46, 49, 48, 54, 69, 26, 31, 58, 40]

Cluster: 7Recurrent Walks: 75 out of 100 MaxCluster Vertices: 50705 Vertices covered: [224, 196, 301, 229, 203, 229, 196, 168, 109, 191, 139, 226, 173, 239, 173, 208, 194, 282, 125, 232, 159, 199, 171, 206, 178, 256, 265, 183, 254, 161, 252, 181, 236, 99, 210, 171, 233, 192, 212, 258, 213, 228, 282, 261, 199, 204, 202, 205, 209, 223, 224, 187, 255, 219, 271, 230, 289, 99, 186, 232, 256, 293, 170, 237, 138, 191, 190, 251, 257, 213, 162, 246, 228, 245, 232, 219, 255, 256, 215, 229, 273, 209, 150, 221, 215, 255, 301, 202, 221, 161, 201, 238, 256, 292, 149, 235, 236, 153, 249, 238] Farthest Distance from Starting Position: [40, 48, 104, 61, 60, 71, 23, 49, 18, 34, 41, 62, 37, 51, 47, 54, 56, 107, 41, 78, 49, 21, 32, 53, 24, 102, 71, 57, 62, 60, 75, 59, 77, 33, 46, 29, 62, 52, 73, 88, 46, 66, 62, 46, 34, 57, 50, 52, 37, 40, 52, 48, 93, 64, 87, 32, 34, 33, 39, 43, 42, 60, 66, 47, 24, 37, 51, 84, 89, 59, 31, 32, 76, 28, 47, 53, 64, 60, 37, 70, 50, 34, 18, 68, 34, 97, 61, 45, 34, 51, 52, 56, 65, 82, 60, 56, 57, 54, 97, 54]

Cluster: 8Recurrent Walks: 81 out of 100 MaxCluster Vertices: 50727 Vertices covered: [281, 199, 289, 248, 201, 206, 257, 254, 170, 171, 226, 256, 137, 234, 138, 200, 67, 253, 269, 203, 144, 268, 236, 312, 256, 244, 210, 155, 173, 173, 243, 166, 192, 165, 185, 300, 149, 275, 291, 243, 244, 218, 255, 183, 197, 240, 251, 225, 263, 174, 177, 196, 188, 149, 286, 236, 215, 230, 197, 245, 275, 251, 240, 182, 162, 206, 352, 110, 143, 189, 208, 198, 273, 212, 158, 211, 185, 239, 233, 220, 170, 205, 260, 216, 310, 222, 213, 166, 219, 221, 215, 211, 245, 235, 247, 169, 199, 254, 192, 224] Farthest Distance from Starting Position: [62, 20, 73, 98, 64, 48, 50, 49, 71, 31, 35, 79, 19, 67, 28, 43, 18, 97, 106, 63, 55, 82, 79, 138, 64, 33, 47, 36, 31, 27, 31, 54, 50, 26, 60, 76, 30, 45, 122, 36, 41, 35, 67, 38, 35, 84, 62, 80, 47, 26, 53, 50, 63, 36, 54, 65, 67, 25, 30, 77, 113, 41, 81, 57, 50, 61, 99, 11, 39, 64, 60, 69, 90, 40, 39, 34, 34, 77, 39, 70, 42, 41, 98, 48, 51, 52, 45, 31, 44, 64, 59, 32, 52, 66, 77, 40, 57, 76, 34, 56]

Cluster: 9Recurrent Walks: 81 out of 100 MaxCluster Vertices: 50857 Vertices covered: [157, 182, 199, 146, 156, 277, 165, 198, 264, 234, 228, 210, 274, 150, 137, 254, 193, 234, 218, 215, 240, 226, 267, 215,

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290, 208, 224, 182, 191, 218, 216, 146, 211, 226, 244, 266, 265, 257, 299, 111, 236, 259, 267, 242, 204, 214, 221, 243, 244, 237, 282, 203, 256, 227, 277, 210, 283, 212, 252, 256, 160, 238, 215, 248, 273, 264, 226, 156, 265, 213, 205, 232, 123, 172, 245, 205, 203, 204, 201, 225, 192, 90, 218, 187, 166, 255, 284, 174, 271, 209, 252, 232, 210, 246, 263, 287, 230, 218, 227, 229] Farthest Distance from Starting Position: [28, 55, 34, 23, 50, 64, 49, 71, 96, 87, 93, 43, 80, 59, 30, 48, 57, 49, 33, 33, 65, 57, 74, 33, 77, 32, 70, 53, 45, 63, 60, 39, 85, 43, 77, 49, 77, 27, 115, 42, 57, 88, 29, 87, 52, 31, 58, 86, 73, 58, 105, 50, 52, 56, 63, 59, 103, 47, 63, 95, 26, 43, 66, 55, 102, 78, 35, 42, 98, 29, 43, 47, 25, 26, 31, 54, 41, 43, 26, 48, 61, 40, 48, 54, 38, 52, 96, 34, 68, 43, 74, 52, 50, 82, 99, 96, 79, 73, 67, 80]

Cluster: 10Recurrent Walks: 75 out of 100 MaxCluster Vertices: 50526 Vertices covered: [205, 115, 268, 280, 217, 231, 252, 140, 280, 228, 206, 155, 262, 227, 246, 208, 220, 216, 222, 206, 203, 306, 220, 252, 178, 230, 199, 229, 276, 253, 234, 289, 211, 217, 279, 210, 282, 170, 192, 172, 127, 198, 150, 294, 177, 249, 242, 118, 198, 257, 218, 226, 217, 144, 295, 222, 182, 213, 192, 202, 210, 265, 218, 265, 212, 208, 174, 283, 219, 237, 188, 215, 257, 186, 197, 198, 324, 205, 222, 252, 211, 235, 232, 194, 266, 217, 233, 197, 214, 143, 252, 218, 202, 151, 247, 207, 282, 164, 247, 178] Farthest Distance from Starting Position: [29, 24, 83, 93, 79, 62, 33, 18, 96, 47, 44, 19, 82, 35, 71, 45, 37, 40, 67, 38, 33, 65, 53, 59, 32, 83, 41, 92, 93, 54, 76, 108, 72, 47, 126, 69, 64, 41, 48, 57, 17, 29, 25, 70, 41, 65, 76, 24, 23, 113, 59, 44, 59, 25, 87, 66, 53, 28, 51, 54, 60, 35, 34, 42, 52, 68, 26, 54, 70, 76, 71, 26, 76, 47, 24, 52, 96, 44, 80, 70, 29, 89, 57, 48, 96, 57, 49, 44, 84, 23, 36, 51, 59, 37, 84, 38, 82, 40, 101, 25]

Probability: 0.28

Cluster: 1Recurrent Walks: 74 out of 100 MaxCluster Vertices: 52081 Vertices covered: [207, 253, 219, 200, 194, 239, 305, 138, 229, 202, 195, 258, 209, 272, 243, 257, 261, 208, 271, 241, 211, 234, 239, 241, 257, 282, 205, 127, 319, 297, 168, 264, 186, 273, 289, 225, 265, 222, 258, 225, 258, 236, 289, 224, 228, 274, 263, 268, 213, 168, 220, 250, 249, 209, 212, 232, 289, 264, 247, 202, 280, 229, 222, 239, 201, 245, 232, 296, 287, 148, 204, 269, 220, 193, 266, 243, 213, 259, 229, 146, 227, 272, 256, 204, 259, 211, 257, 219, 224, 259, 222, 246, 193, 197, 222, 246, 191, 246, 259, 174] Farthest Distance from Starting Position: [25, 57, 33, 78, 25, 41, 72, 24, 47, 53, 64, 88, 80, 55, 46, 113, 52, 85, 61, 73, 38, 45, 79, 84, 64, 105, 34, 16, 61, 53, 32, 41, 51, 98, 102, 56, 72, 48, 82, 67, 88, 100, 48, 28, 67, 74, 36, 47, 59, 36, 33, 66, 73, 63, 44, 73, 63, 73, 79, 37, 114, 61, 46, 64, 30, 54, 30, 102, 98, 44, 40, 64, 55, 44, 50, 66, 32, 79, 79, 22, 57, 79, 90, 28, 98, 33, 89, 35, 45, 80, 53, 78, 31, 44, 43, 85, 28, 40, 96, 44]

Cluster: 2Recurrent Walks: 81 out of 100 MaxCluster Vertices: 52209

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Vertices covered: [273, 168, 250, 286, 189, 263, 64, 212, 230, 199, 260, 302, 185, 252, 269, 279, 259, 246, 184, 234, 165, 261, 266, 323, 243, 238, 258, 236, 238, 151, 264, 299, 250, 200, 278, 263, 169, 259, 209, 271, 254, 279, 185, 161, 202, 248, 284, 190, 207, 197, 270, 281, 277, 208, 281, 215, 313, 250, 221, 210, 224, 208, 212, 303, 123, 282, 253, 290, 249, 299, 247, 279, 293, 241, 241, 195, 268, 188, 165, 251, 254, 301, 206, 270, 316, 254, 235, 287, 166, 269, 257, 271, 256, 198, 266, 284, 274, 261, 277, 188] Farthest Distance from Starting Position: [78, 38, 56, 67, 58, 49, 35, 74, 60, 22, 47, 124, 33, 83, 86, 48, 38, 30, 32, 32, 56, 62, 59, 103, 55, 76, 50, 70, 48, 29, 70, 98, 64, 41, 53, 90, 61, 50, 71, 59, 96, 49, 33, 16, 44, 55, 76, 25, 34, 45, 43, 106, 96, 57, 46, 59, 65, 88, 36, 66, 64, 31, 35, 52, 22, 100, 35, 138, 80, 67, 50, 83, 68, 35, 45, 23, 90, 57, 16, 44, 45, 100, 54, 113, 113, 43, 73, 106, 55, 91, 47, 92, 81, 39, 57, 127, 97, 99, 104, 26]

Cluster: 3Recurrent Walks: 79 out of 100 MaxCluster Vertices: 51884 Vertices covered: [220, 201, 236, 228, 234, 270, 222, 263, 246, 309, 268, 283, 241, 254, 244, 139, 264, 238, 251, 196, 212, 216, 240, 208, 247, 255, 191, 198, 215, 267, 172, 299, 221, 131, 278, 159, 151, 228, 280, 249, 224, 217, 260, 259, 245, 260, 249, 267, 194, 284, 268, 190, 319, 262, 262, 285, 294, 225, 170, 256, 178, 246, 279, 192, 150, 193, 240, 233, 167, 194, 188, 255, 251, 218, 249, 261, 247, 177, 287, 184, 187, 229, 361, 233, 198, 296, 187, 304, 249, 218, 286, 223, 248, 225, 172, 224, 176, 236, 296, 267] Farthest Distance from Starting Position: [73, 68, 95, 46, 59, 39, 41, 106, 65, 104, 105, 75, 72, 30, 38, 36, 65, 55, 55, 46, 73, 66, 60, 31, 69, 56, 42, 45, 71, 62, 55, 114, 31, 46, 99, 37, 18, 53, 57, 61, 70, 61, 80, 109, 77, 88, 71, 57, 24, 96, 47, 33, 125, 62, 68, 110, 78, 42, 45, 45, 28, 26, 92, 80, 33, 26, 56, 63, 25, 55, 29, 41, 55, 26, 63, 43, 51, 14, 119, 31, 58, 45, 145, 62, 49, 60, 44, 52, 55, 32, 84, 65, 27, 69, 42, 62, 19, 62, 108, 82]

Cluster: 4Recurrent Walks: 66 out of 100 MaxCluster Vertices: 51905 Vertices covered: [237, 280, 257, 250, 358, 263, 171, 102, 196, 314, 185, 257, 307, 245, 261, 238, 217, 208, 312, 256, 180, 176, 153, 186, 203, 205, 220, 299, 320, 231, 241, 144, 205, 253, 255, 243, 225, 189, 208, 249, 265, 266, 268, 298, 174, 259, 213, 270, 163, 240, 120, 222, 329, 259, 164, 211, 226, 191, 228, 249, 238, 198, 264, 171, 251, 220, 239, 219, 247, 305, 247, 202, 192, 242, 286, 239, 221, 218, 253, 281, 234, 263, 265, 189, 288, 114, 240, 230, 275, 225, 202, 293, 264, 261, 219, 222, 230, 251, 285, 173] Farthest Distance from Starting Position: [80, 133, 84, 44, 170, 77, 46, 18, 49, 114, 31, 57, 52, 66, 68, 57, 48, 27, 114, 68, 40, 42, 50, 70, 25, 55, 29, 83, 91, 39, 79, 43, 33, 53, 67, 67, 58, 69, 53, 104, 87, 40, 61, 71, 38, 89, 74, 55, 40, 30, 26, 25, 76, 72, 36, 54, 39, 53, 43, 48, 51, 58, 79, 35, 73, 60, 101, 45, 87, 32, 46, 68, 18, 83, 96, 72, 62, 28, 88, 75, 53, 66, 65, 40, 77, 38, 77, 73, 116, 66, 49, 74, 123, 64, 40, 83, 68, 76, 68, 42]

Cluster: 5Recurrent Walks: 74 out of 100 MaxCluster Vertices: 52023

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Vertices covered: [153, 245, 219, 115, 205, 287, 209, 319, 265, 243, 222, 345, 275, 222, 225, 152, 280, 288, 229, 130, 251, 248, 261, 198, 61, 186, 237, 255, 236, 150, 217, 198, 236, 289, 291, 278, 335, 206, 296, 136, 250, 276, 307, 232, 241, 229, 213, 303, 280, 179, 226, 243, 165, 219, 263, 159, 184, 165, 239, 208, 247, 197, 241, 285, 247, 283, 294, 206, 169, 203, 262, 217, 189, 222, 207, 202, 243, 226, 206, 244, 275, 252, 222, 238, 202, 229, 240, 306, 223, 204, 209, 213, 245, 191, 261, 289, 245, 251, 207, 172] Farthest Distance from Starting Position: [37, 47, 38, 33, 29, 69, 56, 156, 54, 45, 43, 152, 70, 60, 63, 33, 62, 107, 92, 25, 73, 49, 83, 50, 23, 34, 52, 76, 54, 39, 85, 39, 42, 86, 91, 87, 130, 37, 43, 40, 67, 103, 101, 76, 82, 74, 47, 91, 46, 52, 90, 102, 47, 51, 96, 38, 40, 31, 78, 35, 89, 35, 57, 70, 123, 93, 123, 67, 40, 41, 103, 40, 55, 40, 36, 51, 71, 60, 58, 39, 112, 63, 79, 69, 75, 59, 58, 118, 74, 30, 31, 71, 58, 37, 88, 52, 43, 66, 56, 19]

Cluster: 6Recurrent Walks: 76 out of 100 MaxCluster Vertices: 51906 Vertices covered: [288, 283, 206, 229, 259, 276, 245, 221, 236, 175, 338, 228, 246, 299, 265, 190, 250, 265, 285, 294, 210, 282, 275, 282, 261, 261, 213, 159, 155, 291, 213, 203, 249, 249, 343, 307, 273, 300, 237, 219, 229, 280, 217, 223, 250, 286, 247, 182, 260, 212, 258, 255, 246, 198, 257, 215, 263, 165, 225, 259, 284, 258, 232, 251, 228, 311, 228, 315, 210, 233, 265, 238, 192, 213, 271, 232, 229, 280, 293, 262, 217, 228, 272, 241, 233, 270, 222, 253, 249, 273, 256, 273, 231, 259, 223, 193, 258, 280, 240, 298] Farthest Distance from Starting Position: [102, 75, 28, 41, 68, 73, 33, 47, 36, 62, 120, 52, 74, 111, 66, 61, 68, 49, 89, 117, 36, 73, 67, 82, 51, 55, 52, 32, 25, 78, 86, 51, 69, 29, 108, 98, 50, 118, 78, 51, 37, 80, 39, 63, 46, 48, 80, 67, 61, 68, 93, 92, 97, 27, 74, 42, 75, 29, 40, 53, 69, 88, 70, 65, 36, 104, 27, 123, 51, 20, 70, 44, 20, 47, 53, 64, 76, 83, 104, 35, 29, 68, 110, 69, 28, 61, 81, 62, 52, 65, 72, 66, 73, 69, 100, 31, 71, 95, 52, 97]

Cluster: 7Recurrent Walks: 77 out of 100 MaxCluster Vertices: 51926 Vertices covered: [265, 226, 296, 200, 253, 327, 226, 196, 291, 315, 190, 156, 209, 263, 175, 263, 242, 174, 192, 251, 235, 213, 288, 219, 159, 239, 193, 186, 227, 235, 255, 243, 281, 93, 279, 245, 251, 248, 338, 237, 177, 228, 236, 296, 235, 208, 202, 281, 258, 275, 241, 221, 250, 234, 180, 226, 267, 243, 240, 283, 229, 223, 249, 310, 243, 287, 212, 251, 190, 230, 257, 246, 245, 289, 349, 296, 209, 189, 166, 223, 288, 132, 190, 278, 250, 308, 290, 302, 263, 148, 221, 206, 113, 244, 252, 190, 241, 240, 258, 210] Farthest Distance from Starting Position: [84, 39, 74, 29, 108, 87, 60, 36, 146, 110, 40, 47, 26, 77, 22, 57, 47, 28, 68, 78, 57, 76, 57, 57, 35, 70, 48, 70, 82, 76, 76, 56, 60, 18, 107, 71, 60, 33, 90, 90, 53, 76, 53, 85, 82, 56, 29, 62, 35, 60, 38, 55, 93, 60, 24, 49, 39, 27, 78, 59, 35, 31, 62, 85, 63, 44, 63, 62, 47, 70, 69, 57, 47, 42, 120, 73, 72, 38, 21, 27, 39, 26, 35, 47, 74, 102, 116, 132, 59, 37, 45, 59, 33, 38, 71, 39, 54, 56, 62, 60]

Cluster: 8Recurrent Walks: 79 out of 100 MaxCluster Vertices: 51908

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Vertices covered: [269, 216, 269, 195, 260, 243, 261, 307, 186, 256, 237, 209, 302, 157, 206, 282, 214, 185, 275, 224, 200, 221, 224, 271, 188, 299, 234, 262, 250, 214, 168, 225, 210, 261, 194, 231, 290, 235, 251, 253, 274, 193, 281, 229, 267, 102, 252, 272, 220, 212, 266, 344, 200, 267, 186, 178, 217, 247, 311, 286, 211, 198, 188, 179, 270, 243, 259, 287, 267, 281, 221, 280, 272, 304, 281, 184, 241, 251, 281, 216, 260, 137, 310, 148, 235, 150, 219, 265, 273, 242, 211, 197, 254, 290, 312, 229, 168, 298, 258, 304]

Farthest Distance from Starting Position: [107, 52, 52, 56, 55, 40, 78, 116, 36, 37, 55, 64, 76, 46, 45, 105, 46, 41, 57, 64, 68, 72, 66, 81, 21, 90, 55, 110, 47, 25, 44, 35, 55, 70, 24, 63, 116, 49, 78, 80, 44, 49, 97, 36, 66, 37, 79, 110, 67, 47, 62, 141, 30, 46, 18, 46, 67, 90, 121, 94, 66, 37, 41, 25, 103, 53, 83, 77, 57, 50, 55, 95, 55, 85, 79, 43, 31, 60, 77, 74, 95, 38, 111, 18, 70, 21, 69, 81, 86, 55, 55, 49, 52, 118, 67, 43, 48, 74, 41, 82]

Cluster: 9Recurrent Walks: 83 out of 100 MaxCluster Vertices: 51876 Vertices covered: [246, 245, 280, 238, 222, 285, 208, 305, 218, 216, 230, 244, 260, 295, 192, 252, 313, 240, 274, 310, 224, 274, 275, 262, 249, 259, 190, 255, 186, 239, 311, 220, 150, 242, 258, 290, 263, 231, 274, 242, 224, 277, 211, 280, 226, 272, 273, 260, 218, 218, 302, 238, 239, 199, 248, 220, 281, 226, 199, 284, 217, 236, 145, 252, 222, 236, 251, 222, 238, 267, 259, 245, 270, 233, 256, 257, 227, 242, 231, 226, 234, 191, 292, 305, 200, 235, 279, 245, 224, 236, 242, 283, 230, 186, 274, 287, 286, 271, 266, 249] Farthest Distance from Starting Position: [59, 66, 69, 54, 32, 72, 44, 106, 72, 36, 57, 81, 53, 102, 76, 94, 89, 67, 47, 71, 69, 95, 96, 80, 42, 105, 44, 82, 30, 33, 131, 41, 37, 51, 53, 86, 38, 38, 96, 96, 54, 107, 57, 92, 33, 45, 82, 91, 61, 61, 138, 68, 63, 77, 62, 42, 40, 43, 40, 71, 48, 57, 53, 58, 22, 35, 75, 57, 33, 113, 55, 54, 85, 71, 37, 89, 64, 93, 22, 41, 82, 61, 42, 121, 41, 63, 60, 46, 63, 56, 100, 102, 33, 16, 87, 111, 107, 88, 71, 41]

Cluster: 10Recurrent Walks: 78 out of 100 MaxCluster Vertices: 51749 Vertices covered: [288, 249, 215, 195, 269, 235, 204, 294, 168, 221, 286, 266, 277, 186, 280, 231, 221, 242, 274, 177, 270, 240, 297, 224, 178, 277, 220, 232, 315, 278, 218, 317, 244, 165, 281, 165, 270, 134, 269, 239, 151, 240, 228, 228, 253, 218, 229, 260, 338, 279, 258, 307, 232, 229, 257, 208, 257, 240, 223, 284, 267, 216, 189, 172, 266, 308, 229, 171, 210, 177, 198, 288, 307, 255, 296, 171, 221, 223, 176, 278, 86, 215, 173, 292, 246, 246, 198, 262, 293, 159, 223, 247, 257, 266, 270, 247, 212, 249, 255, 180] Farthest Distance from Starting Position: [100, 36, 49, 39, 80, 25, 52, 79, 34, 57, 80, 86, 64, 28, 95, 61, 68, 79, 84, 27, 61, 27, 65, 80, 43, 76, 73, 51, 85, 45, 34, 52, 53, 37, 108, 29, 50, 48, 96, 77, 29, 81, 50, 53, 50, 100, 57, 35, 143, 54, 55, 112, 40, 39, 38, 36, 68, 62, 50, 115, 47, 50, 31, 46, 69, 112, 50, 48, 34, 40, 61, 84, 92, 62, 90, 44, 77, 79, 20, 85, 16, 46, 21, 90, 44, 52, 55, 83, 89, 26, 100, 93, 52, 96, 60, 81, 57, 103, 40, 55]

Probability: 0.29

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Cluster: 1Recurrent Walks: 66 out of 100 MaxCluster Vertices: 52987 Vertices covered: [255, 233, 236, 201, 276, 270, 225, 287, 234, 223, 255, 298, 287, 191, 283, 152, 200, 218, 266, 257, 282, 234, 269, 298, 219, 260, 268, 303, 281, 198, 287, 247, 234, 252, 297, 271, 243, 218, 274, 258, 254, 221, 247, 261, 261, 282, 266, 296, 244, 292, 303, 253, 240, 280, 270, 185, 242, 134, 259, 287, 259, 224, 316, 282, 274, 192, 298, 230, 278, 235, 274, 243, 198, 317, 226, 314, 317, 273, 182, 291, 294, 253, 260, 269, 307, 192, 274, 272, 337, 243, 236, 299, 257, 236, 229, 263, 281, 203, 227, 284] Farthest Distance from Starting Position: [84, 55, 64, 33, 88, 60, 25, 35, 53, 82, 82, 83, 32, 46, 71, 22, 36, 75, 107, 72, 53, 61, 38, 119, 38, 39, 42, 45, 111, 19, 61, 46, 49, 49, 86, 66, 78, 30, 56, 26, 59, 40, 68, 45, 45, 78, 89, 80, 59, 96, 103, 68, 45, 87, 53, 38, 69, 39, 66, 123, 86, 50, 102, 40, 36, 48, 118, 63, 75, 47, 48, 60, 46, 96, 71, 111, 85, 59, 52, 48, 77, 57, 73, 61, 71, 25, 52, 65, 152, 35, 34, 93, 69, 70, 55, 78, 75, 67, 64, 45]

Cluster: 2Recurrent Walks: 72 out of 100 MaxCluster Vertices: 52907 Vertices covered: [190, 303, 179, 134, 254, 260, 263, 279, 296, 289, 315, 303, 238, 324, 258, 280, 237, 293, 278, 286, 279, 198, 264, 304, 251, 251, 281, 310, 217, 280, 240, 213, 259, 243, 259, 333, 247, 278, 256, 230, 276, 261, 259, 285, 221, 213, 300, 212, 194, 219, 252, 291, 260, 251, 278, 234, 272, 237, 317, 255, 312, 267, 198, 230, 316, 267, 277, 254, 280, 280, 351, 213, 274, 269, 281, 280, 260, 294, 289, 274, 234, 289, 248, 250, 238, 312, 230, 259, 247, 209, 212, 303, 241, 274, 327, 258, 264, 294, 40, 276] Farthest Distance from Starting Position: [23, 75, 24, 43, 73, 42, 37, 74, 86, 70, 92, 50, 31, 103, 72, 78, 70, 84, 84, 76, 76, 66, 62, 57, 72, 64, 89, 36, 42, 127, 71, 33, 69, 68, 44, 86, 70, 100, 36, 39, 46, 90, 94, 97, 53, 38, 124, 34, 23, 61, 41, 46, 72, 72, 71, 23, 73, 45, 107, 64, 126, 66, 58, 54, 130, 76, 110, 40, 84, 112, 97, 19, 77, 62, 68, 63, 37, 110, 83, 26, 44, 56, 88, 71, 69, 105, 51, 48, 48, 49, 41, 48, 59, 121, 126, 63, 89, 79, 9, 76]

Cluster: 3Recurrent Walks: 88 out of 100 MaxCluster Vertices: 52961 Vertices covered: [284, 285, 235, 191, 334, 290, 219, 228, 199, 285, 261, 309, 261, 227, 209, 290, 301, 272, 281, 247, 233, 315, 282, 264, 329, 197, 297, 318, 300, 223, 325, 263, 207, 226, 273, 294, 194, 302, 288, 246, 150, 225, 301, 291, 268, 186, 219, 162, 315, 289, 248, 353, 330, 300, 265, 260, 324, 261, 218, 291, 293, 270, 252, 278, 300, 267, 262, 307, 240, 226, 323, 254, 239, 263, 244, 251, 262, 278, 329, 269, 248, 237, 296, 274, 327, 235, 222, 224, 315, 268, 243, 237, 259, 247, 225, 246, 246, 236, 219, 363] Farthest Distance from Starting Position: [93, 62, 42, 47, 133, 72, 60, 58, 48, 64, 77, 89, 93, 37, 49, 89, 55, 99, 48, 67, 55, 35, 51, 27, 113, 53, 76, 118, 81, 35, 108, 38, 37, 50, 68, 81, 28, 83, 72, 42, 21, 57, 91, 65, 62, 45, 38, 20, 69, 100, 72, 52, 78, 25, 80, 55, 89, 76, 88, 101, 82, 62, 52, 97, 68, 63, 22, 105, 80, 98, 134, 89, 38, 54, 69, 70, 86, 41, 38, 30, 62, 43, 83, 98, 56, 43, 53, 57, 94, 84, 73, 58, 38, 57, 30, 42, 55, 74, 45, 124]

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Cluster: 4Recurrent Walks: 70 out of 100 MaxCluster Vertices: 53079 Vertices covered: [269, 295, 308, 284, 124, 281, 303, 306, 292, 258, 295, 311, 321, 267, 306, 259, 275, 291, 115, 268, 288, 302, 231, 235, 190, 199, 295, 277, 273, 263, 256, 207, 201, 271, 277, 251, 282, 297, 223, 334, 333, 317, 269, 281, 270, 215, 298, 278, 256, 263, 232, 245, 272, 248, 244, 286, 259, 198, 330, 299, 264, 280, 246, 322, 290, 300, 251, 278, 335, 240, 188, 274, 235, 298, 225, 304, 279, 320, 176, 309, 225, 220, 352, 204, 236, 270, 160, 269, 275, 247, 207, 203, 345, 276, 307, 219, 236, 268, 179, 258] Farthest Distance from Starting Position: [62, 120, 111, 77, 38, 49, 64, 101, 105, 100, 71, 98, 96, 76, 76, 32, 61, 104, 16, 58, 63, 61, 39, 41, 48, 24, 54, 87, 62, 42, 96, 74, 22, 89, 58, 47, 87, 58, 51, 80, 103, 105, 62, 82, 82, 29, 101, 76, 62, 63, 71, 50, 33, 62, 83, 105, 96, 31, 102, 117, 55, 62, 43, 86, 62, 92, 34, 53, 108, 47, 60, 135, 38, 107, 35, 34, 73, 112, 37, 43, 49, 66, 66, 32, 57, 36, 19, 47, 59, 34, 47, 54, 114, 45, 97, 58, 50, 52, 30, 47]

Cluster: 5Recurrent Walks: 77 out of 100 MaxCluster Vertices: 52676 Vertices covered: [275, 266, 268, 294, 292, 340, 227, 254, 243, 222, 258, 243, 274, 308, 283, 296, 228, 164, 304, 252, 295, 241, 296, 235, 250, 257, 278, 258, 269, 252, 275, 193, 294, 268, 283, 219, 199, 243, 253, 302, 120, 294, 255, 336, 266, 236, 288, 199, 312, 208, 262, 260, 242, 298, 234, 308, 281, 247, 308, 271, 246, 290, 270, 261, 299, 275, 343, 248, 327, 270, 295, 263, 280, 259, 217, 247, 249, 178, 155, 193, 173, 298, 290, 210, 305, 284, 222, 283, 306, 229, 215, 295, 182, 256, 246, 273, 275, 311, 250, 209] Farthest Distance from Starting Position: [81, 51, 82, 121, 46, 104, 62, 48, 39, 31, 57, 60, 90, 107, 72, 61, 48, 29, 114, 48, 123, 54, 70, 32, 60, 63, 82, 50, 51, 46, 71, 21, 58, 55, 86, 60, 36, 38, 24, 78, 24, 104, 51, 101, 79, 57, 64, 55, 95, 56, 68, 84, 80, 107, 63, 47, 59, 52, 95, 17, 64, 89, 126, 72, 101, 118, 104, 46, 102, 88, 79, 26, 64, 75, 83, 42, 47, 50, 21, 25, 34, 90, 88, 28, 82, 51, 41, 72, 87, 51, 73, 105, 30, 68, 45, 76, 67, 124, 84, 40]

Cluster: 6Recurrent Walks: 77 out of 100 MaxCluster Vertices: 52697 Vertices covered: [250, 281, 233, 229, 213, 275, 243, 254, 265, 298, 316, 253, 289, 272, 303, 340, 290, 277, 260, 265, 260, 341, 212, 281, 190, 288, 220, 277, 275, 268, 274, 226, 256, 236, 261, 314, 324, 319, 313, 250, 305, 312, 277, 224, 204, 322, 217, 267, 288, 329, 273, 174, 264, 196, 279, 261, 311, 160, 249, 360, 268, 263, 320, 288, 259, 236, 302, 212, 271, 242, 141, 261, 251, 261, 185, 220, 228, 161, 316, 227, 312, 253, 218, 259, 318, 251, 249, 248, 289, 285, 279, 265, 221, 228, 298, 268, 218, 257, 327, 254] Farthest Distance from Starting Position: [75, 93, 53, 24, 53, 53, 52, 62, 51, 89, 81, 74, 64, 97, 64, 141, 86, 46, 84, 50, 85, 97, 50, 94, 28, 64, 29, 103, 67, 66, 75, 63, 73, 71, 65, 92, 67, 94, 93, 80, 109, 138, 61, 65, 36, 66, 42, 55, 97, 83, 75, 37, 93, 55, 72, 49, 139, 67, 56, 152, 107, 67, 43, 59, 23, 23, 122, 51, 20, 46, 23, 86, 35, 64, 42, 38, 75, 24, 98, 32, 85, 95, 40, 34, 46, 60, 49, 65, 51, 78, 91, 93, 51, 64, 79, 86, 34, 39, 71, 60]

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Cluster: 7Recurrent Walks: 75 out of 100 MaxCluster Vertices: 53001 Vertices covered: [310, 301, 238, 194, 318, 272, 223, 228, 296, 231, 228, 271, 212, 271, 238, 211, 179, 291, 261, 215, 187, 244, 171, 278, 216, 333, 300, 255, 229, 273, 302, 210, 361, 268, 268, 229, 347, 229, 228, 247, 212, 316, 321, 276, 261, 276, 275, 274, 235, 306, 281, 240, 310, 289, 294, 284, 282, 293, 179, 208, 269, 270, 301, 264, 282, 332, 281, 265, 253, 343, 204, 249, 262, 279, 280, 240, 255, 250, 298, 292, 217, 272, 271, 229, 257, 281, 249, 284, 274, 288, 250, 228, 236, 322, 237, 211, 305, 288, 314, 276] Farthest Distance from Starting Position: [110, 90, 73, 54, 61, 36, 27, 49, 93, 64, 50, 44, 43, 80, 74, 55, 36, 56, 35, 29, 16, 53, 18, 118, 81, 75, 105, 41, 65, 52, 77, 30, 121, 54, 47, 47, 118, 39, 23, 63, 61, 64, 59, 96, 88, 75, 77, 94, 30, 127, 63, 50, 88, 101, 59, 101, 97, 106, 13, 55, 83, 66, 78, 58, 87, 96, 100, 63, 61, 102, 59, 68, 34, 51, 99, 56, 26, 59, 72, 99, 39, 51, 63, 56, 68, 80, 66, 53, 69, 43, 46, 45, 30, 96, 29, 35, 47, 76, 72, 48]

Cluster: 8Recurrent Walks: 77 out of 100 MaxCluster Vertices: 52944 Vertices covered: [283, 284, 220, 250, 303, 240, 285, 247, 266, 285, 310, 268, 289, 252, 284, 293, 303, 232, 252, 278, 277, 301, 279, 275, 307, 236, 294, 277, 253, 306, 246, 214, 155, 283, 250, 180, 183, 288, 283, 237, 209, 237, 304, 259, 281, 237, 285, 226, 308, 281, 265, 262, 288, 283, 298, 226, 253, 202, 271, 304, 269, 213, 328, 253, 317, 231, 247, 226, 277, 265, 237, 260, 246, 242, 279, 259, 356, 202, 190, 287, 271, 260, 259, 260, 263, 258, 285, 242, 292, 282, 244, 219, 239, 296, 162, 303, 244, 279, 271, 221] Farthest Distance from Starting Position: [66, 81, 40, 47, 101, 76, 74, 37, 48, 68, 80, 37, 74, 87, 49, 118, 119, 69, 71, 71, 78, 72, 92, 73, 115, 59, 73, 72, 86, 94, 49, 29, 26, 68, 82, 29, 38, 64, 53, 49, 40, 70, 63, 71, 81, 50, 69, 87, 63, 94, 76, 60, 113, 48, 43, 61, 65, 24, 68, 68, 75, 37, 110, 48, 73, 50, 39, 50, 69, 81, 100, 88, 68, 90, 84, 41, 138, 53, 32, 63, 72, 54, 62, 23, 46, 97, 84, 53, 108, 94, 104, 36, 52, 88, 30, 47, 42, 84, 37, 39]

Cluster: 9Recurrent Walks: 72 out of 100 MaxCluster Vertices: 52932 Vertices covered: [254, 244, 265, 300, 244, 228, 271, 276, 304, 243, 240, 187, 248, 243, 273, 215, 178, 281, 203, 225, 208, 280, 291, 246, 230, 286, 267, 187, 221, 237, 269, 198, 220, 254, 293, 251, 234, 193, 235, 235, 205, 237, 259, 229, 195, 261, 246, 291, 331, 289, 267, 213, 242, 159, 219, 304, 247, 216, 273, 301, 278, 256, 245, 241, 219, 237, 220, 263, 235, 199, 226, 269, 231, 252, 255, 242, 305, 194, 241, 206, 251, 212, 305, 150, 241, 209, 283, 302, 210, 295, 292, 296, 245, 242, 228, 278, 261, 264, 248, 231] Farthest Distance from Starting Position: [41, 51, 77, 36, 53, 91, 44, 37, 93, 68, 63, 36, 47, 55, 72, 32, 49, 67, 69, 50, 41, 42, 80, 38, 47, 70, 52, 19, 64, 49, 78, 45, 50, 77, 30, 46, 53, 29, 79, 66, 29, 61, 89, 44, 68, 54, 40, 60, 139, 114, 46, 46, 66, 31, 48, 116, 65, 21, 111, 102, 36, 36, 29, 61, 32, 70, 48, 78, 51, 47, 45, 105, 29, 72, 30, 50, 95, 55, 60, 26, 52, 49, 77, 27, 61, 49, 75, 50, 24, 79, 69, 102, 43, 38, 66, 101, 53, 47, 54, 64]

Page 34: pi.math.cornell.edupi.math.cornell.edu/.../dump/SGrwSizes.2-.3.docx · Web viewSG x SG Level 4 Probability 0.2 Cluster 1 Recurrent Walks: 92 out of 100 MaxCluster Vertices: 25076

Cluster: 10Recurrent Walks: 74 out of 100 MaxCluster Vertices: 52997 Vertices covered: [204, 331, 291, 305, 284, 180, 234, 243, 291, 212, 293, 252, 315, 250, 327, 260, 192, 289, 317, 282, 331, 324, 275, 207, 289, 169, 319, 211, 275, 227, 225, 315, 275, 280, 190, 229, 287, 271, 330, 283, 163, 195, 329, 251, 185, 271, 217, 289, 233, 266, 336, 274, 268, 257, 323, 284, 206, 272, 266, 291, 175, 299, 268, 230, 230, 251, 294, 316, 269, 297, 203, 289, 310, 274, 192, 220, 250, 236, 327, 306, 282, 223, 301, 295, 298, 299, 286, 248, 318, 270, 259, 287, 247, 279, 299, 261, 296, 312, 222, 248] Farthest Distance from Starting Position: [32, 81, 97, 74, 62, 35, 53, 67, 64, 44, 90, 46, 116, 62, 120, 71, 48, 83, 65, 55, 137, 117, 86, 28, 108, 66, 88, 74, 70, 19, 69, 110, 63, 104, 48, 77, 111, 44, 106, 91, 42, 33, 115, 80, 43, 84, 56, 48, 66, 89, 104, 63, 38, 33, 93, 39, 34, 49, 39, 85, 20, 78, 85, 86, 34, 51, 44, 105, 71, 66, 47, 50, 112, 68, 59, 43, 39, 45, 78, 94, 38, 37, 143, 73, 88, 104, 85, 72, 104, 52, 53, 70, 36, 93, 110, 64, 69, 72, 48, 70]