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100_output_check_clusters.txt
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5532 lines (5427 loc) · 256 KB
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Reading points from: data/point100.lst
Loaded 100 points
Finding maximum distance for threshold calculation...
Maximum distance: 1.6604353314718403
Quality Threshold (30% of diameter): 0.4981305994415521
Creating filtered distance matrix...
Filtered distance matrix created in 0.00 seconds
Total pairs considered: 4950
Pairs included in filtered matrix: 698 (14.10%)
Reduction: 85.90%
Found 30 pairs of mutually closest points
Closest pairs (showing all):
Point00 and Point65
Point01 and Point83
Point02 and Point86
Point03 and Point67
Point06 and Point70
Point07 and Point96
Point08 and Point61
Point09 and Point73
Point10 and Point72
Point11 and Point30
Point13 and Point71
Point14 and Point89
Point15 and Point17
Point18 and Point78
Point20 and Point26
Point21 and Point36
Point22 and Point69
Point27 and Point79
Point31 and Point66
Point33 and Point37
Point40 and Point77
Point43 and Point64
Point48 and Point84
Point50 and Point55
Point51 and Point81
Point56 and Point59
Point63 and Point80
Point68 and Point94
Point76 and Point99
Point82 and Point91
Preprocessing completed in 0.01 seconds
Starting optimized QT clustering algorithm with diameter cache...
Generating all candidate clusters with diameter cache optimization...
Generated 70 candidate clusters in 0.00 seconds
Skipped 30 centers (second elements in closest pairs)
Clusters with multiple points: 70 (100.00%)
Average cluster size: 6.21, Maximum: 9
Analyzing centers producing identical clusters:
Found 18 clusters that are produced by multiple centers
Details of ALL identical clusters:
Cluster 1 with 8 points is produced by 3 centers: ['Point00', 'Point21', 'Point75']
Points in this cluster: ['Point00', 'Point65', 'Point75', 'Point36', 'Point21', 'Point18', 'Point78', 'Point44']
No closest neighbor pairs among these centers
Cluster 2 with 9 points is produced by 3 centers: ['Point01', 'Point40', 'Point92']
Points in this cluster: ['Point01', 'Point83', 'Point33', 'Point92', 'Point37', 'Point40', 'Point77', 'Point29', 'Point53']
No closest neighbor pairs among these centers
Cluster 3 with 7 points is produced by 4 centers: ['Point02', 'Point39', 'Point45', 'Point60']
Points in this cluster: ['Point02', 'Point86', 'Point45', 'Point60', 'Point39', 'Point28', 'Point27']
No closest neighbor pairs among these centers
Cluster 4 with 8 points is produced by 3 centers: ['Point03', 'Point27', 'Point28']
Points in this cluster: ['Point03', 'Point67', 'Point45', 'Point28', 'Point27', 'Point86', 'Point02', 'Point79']
No closest neighbor pairs among these centers
Cluster 5 with 6 points is produced by 2 centers: ['Point06', 'Point08']
Points in this cluster: ['Point06', 'Point70', 'Point61', 'Point08', 'Point35', 'Point93']
No closest neighbor pairs among these centers
Cluster 6 with 5 points is produced by 3 centers: ['Point07', 'Point16', 'Point95']
Points in this cluster: ['Point07', 'Point96', 'Point16', 'Point95', 'Point79']
No closest neighbor pairs among these centers
Cluster 7 with 5 points is produced by 3 centers: ['Point09', 'Point35', 'Point93']
Points in this cluster: ['Point09', 'Point73', 'Point93', 'Point35', 'Point23']
No closest neighbor pairs among these centers
Cluster 8 with 5 points is produced by 2 centers: ['Point10', 'Point56']
Points in this cluster: ['Point10', 'Point72', 'Point59', 'Point56', 'Point75']
No closest neighbor pairs among these centers
Cluster 9 with 5 points is produced by 2 centers: ['Point11', 'Point98']
Points in this cluster: ['Point11', 'Point30', 'Point98', 'Point57', 'Point56']
No closest neighbor pairs among these centers
Cluster 10 with 6 points is produced by 4 centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points in this cluster: ['Point12', 'Point32', 'Point69', 'Point22', 'Point63', 'Point80']
No closest neighbor pairs among these centers
Cluster 11 with 4 points is produced by 2 centers: ['Point13', 'Point58']
Points in this cluster: ['Point13', 'Point71', 'Point58', 'Point85']
No closest neighbor pairs among these centers
Cluster 12 with 7 points is produced by 2 centers: ['Point18', 'Point38']
Points in this cluster: ['Point18', 'Point78', 'Point44', 'Point38', 'Point00', 'Point65', 'Point75']
No closest neighbor pairs among these centers
Cluster 13 with 6 points is produced by 2 centers: ['Point20', 'Point54']
Points in this cluster: ['Point20', 'Point26', 'Point54', 'Point49', 'Point55', 'Point00']
No closest neighbor pairs among these centers
Cluster 14 with 9 points is produced by 4 centers: ['Point23', 'Point33', 'Point46', 'Point53']
Points in this cluster: ['Point23', 'Point37', 'Point33', 'Point53', 'Point46', 'Point66', 'Point29', 'Point83', 'Point92']
No closest neighbor pairs among these centers
Cluster 15 with 7 points is produced by 3 centers: ['Point25', 'Point43', 'Point62']
Points in this cluster: ['Point25', 'Point43', 'Point64', 'Point28', 'Point03', 'Point62', 'Point67']
No closest neighbor pairs among these centers
Cluster 16 with 7 points is produced by 2 centers: ['Point47', 'Point74']
Points in this cluster: ['Point47', 'Point74', 'Point35', 'Point06', 'Point61', 'Point70', 'Point08']
No closest neighbor pairs among these centers
Cluster 17 with 6 points is produced by 2 centers: ['Point49', 'Point50']
Points in this cluster: ['Point49', 'Point20', 'Point55', 'Point50', 'Point98', 'Point39']
No closest neighbor pairs among these centers
Cluster 18 with 5 points is produced by 2 centers: ['Point76', 'Point97']
Points in this cluster: ['Point76', 'Point99', 'Point97', 'Point60', 'Point39']
No closest neighbor pairs among these centers
Iteration 1:
- Points used so far: 0/100
- Candidate clusters remaining: 70
- Analyzing identical clusters in iteration 1:
Found 18 clusters with multiple centers in this iteration
Details of ALL identical clusters in this iteration:
Identical Cluster 1 with 8 points is produced by 3 centers: ['Point00', 'Point21', 'Point75']
Points in this cluster: ['Point00', 'Point65', 'Point75', 'Point36', 'Point21', 'Point18', 'Point78', 'Point44']
No closest neighbor pairs among these centers
Identical Cluster 2 with 9 points is produced by 3 centers: ['Point01', 'Point40', 'Point92']
Points in this cluster: ['Point01', 'Point83', 'Point33', 'Point92', 'Point37', 'Point40', 'Point77', 'Point29', 'Point53']
No closest neighbor pairs among these centers
Identical Cluster 3 with 7 points is produced by 4 centers: ['Point02', 'Point39', 'Point45', 'Point60']
Points in this cluster: ['Point02', 'Point86', 'Point45', 'Point60', 'Point39', 'Point28', 'Point27']
No closest neighbor pairs among these centers
Identical Cluster 4 with 8 points is produced by 3 centers: ['Point03', 'Point27', 'Point28']
Points in this cluster: ['Point03', 'Point67', 'Point45', 'Point28', 'Point27', 'Point86', 'Point02', 'Point79']
No closest neighbor pairs among these centers
Identical Cluster 5 with 6 points is produced by 2 centers: ['Point06', 'Point08']
Points in this cluster: ['Point06', 'Point70', 'Point61', 'Point08', 'Point35', 'Point93']
No closest neighbor pairs among these centers
Identical Cluster 6 with 5 points is produced by 3 centers: ['Point07', 'Point16', 'Point95']
Points in this cluster: ['Point07', 'Point96', 'Point16', 'Point95', 'Point79']
No closest neighbor pairs among these centers
Identical Cluster 7 with 5 points is produced by 3 centers: ['Point09', 'Point35', 'Point93']
Points in this cluster: ['Point09', 'Point73', 'Point93', 'Point35', 'Point23']
No closest neighbor pairs among these centers
Identical Cluster 8 with 5 points is produced by 2 centers: ['Point10', 'Point56']
Points in this cluster: ['Point10', 'Point72', 'Point59', 'Point56', 'Point75']
No closest neighbor pairs among these centers
Identical Cluster 9 with 5 points is produced by 2 centers: ['Point11', 'Point98']
Points in this cluster: ['Point11', 'Point30', 'Point98', 'Point57', 'Point56']
No closest neighbor pairs among these centers
Identical Cluster 10 with 6 points is produced by 4 centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points in this cluster: ['Point12', 'Point32', 'Point69', 'Point22', 'Point63', 'Point80']
No closest neighbor pairs among these centers
Identical Cluster 11 with 4 points is produced by 2 centers: ['Point13', 'Point58']
Points in this cluster: ['Point13', 'Point71', 'Point58', 'Point85']
No closest neighbor pairs among these centers
Identical Cluster 12 with 7 points is produced by 2 centers: ['Point18', 'Point38']
Points in this cluster: ['Point18', 'Point78', 'Point44', 'Point38', 'Point00', 'Point65', 'Point75']
No closest neighbor pairs among these centers
Identical Cluster 13 with 6 points is produced by 2 centers: ['Point20', 'Point54']
Points in this cluster: ['Point20', 'Point26', 'Point54', 'Point49', 'Point55', 'Point00']
No closest neighbor pairs among these centers
Identical Cluster 14 with 9 points is produced by 4 centers: ['Point23', 'Point33', 'Point46', 'Point53']
Points in this cluster: ['Point23', 'Point37', 'Point33', 'Point53', 'Point46', 'Point66', 'Point29', 'Point83', 'Point92']
No closest neighbor pairs among these centers
Identical Cluster 15 with 7 points is produced by 3 centers: ['Point25', 'Point43', 'Point62']
Points in this cluster: ['Point25', 'Point43', 'Point64', 'Point28', 'Point03', 'Point62', 'Point67']
No closest neighbor pairs among these centers
Identical Cluster 16 with 7 points is produced by 2 centers: ['Point47', 'Point74']
Points in this cluster: ['Point47', 'Point74', 'Point35', 'Point06', 'Point61', 'Point70', 'Point08']
No closest neighbor pairs among these centers
Identical Cluster 17 with 6 points is produced by 2 centers: ['Point49', 'Point50']
Points in this cluster: ['Point49', 'Point20', 'Point55', 'Point50', 'Point98', 'Point39']
No closest neighbor pairs among these centers
Identical Cluster 18 with 5 points is produced by 2 centers: ['Point76', 'Point97']
Points in this cluster: ['Point76', 'Point99', 'Point97', 'Point60', 'Point39']
No closest neighbor pairs among these centers
Found 7 tied clusters with 9 points:
Center: Point01, Diameter: 0.4872
Center: Point23, Diameter: 0.4972
Center: Point33, Diameter: 0.4972
Center: Point40, Diameter: 0.4872
Center: Point46, Diameter: 0.4972
Center: Point53, Diameter: 0.4972
Center: Point92, Diameter: 0.4872
Selected center Point01 with minimum diameter 0.4872
- Selected best cluster with 9 points: ['Point01', 'Point83', 'Point33', 'Point92', 'Point37', 'Point40', 'Point77', 'Point29', 'Point53']
- Center point: Point01
- This selected cluster could also have been produced by these centers: ['Point40', 'Point92']
Cluster update statistics:
Removed 6 centers that were in the best cluster
Removed centers: ['Point01', 'Point29', 'Point33', 'Point40', 'Point53', 'Point92']
Regenerated clusters for 64 centers
Regenerated centers: ['Point00', 'Point02', 'Point03', 'Point04', 'Point05', 'Point06', 'Point07', 'Point08', 'Point09', 'Point10', 'Point11', 'Point12', 'Point13', 'Point14', 'Point15', 'Point16', 'Point18', 'Point19', 'Point20', 'Point21', 'Point22', 'Point23', 'Point24', 'Point25', 'Point27', 'Point28', 'Point31', 'Point32', 'Point34', 'Point35', 'Point38', 'Point39', 'Point41', 'Point42', 'Point43', 'Point44', 'Point45', 'Point46', 'Point47', 'Point48', 'Point49', 'Point50', 'Point51', 'Point52', 'Point54', 'Point56', 'Point57', 'Point58', 'Point60', 'Point62', 'Point63', 'Point68', 'Point74', 'Point75', 'Point76', 'Point82', 'Point85', 'Point87', 'Point88', 'Point90', 'Point93', 'Point95', 'Point97', 'Point98']
- Added 9 new points to used points
- Regenerated 64 candidate clusters
- Iteration completed in 0.00 seconds
Iteration 2:
- Points used so far: 9/100
- Candidate clusters remaining: 64
- CROSS-ITERATION CLUSTER ANALYSIS (Iteration 2):
Comparing with Iteration 1:
Found 34 identical clusters between iterations 1 and 2
Details of clusters appearing in both iterations 1 and 2:
Common Cluster 1 with 6 points:
Current centers: ['Point14']
Points: ['Point14', 'Point15', 'Point81', 'Point17', 'Point51', 'Point89']
Common Cluster 2 with 4 points:
Current centers: ['Point88']
Points: ['Point88', 'Point74', 'Point84', 'Point06']
Common Cluster 3 with 5 points:
Current centers: ['Point76', 'Point97']
Points: ['Point97', 'Point99', 'Point39', 'Point76', 'Point60']
Common Cluster 4 with 5 points:
Current centers: ['Point41']
Points: ['Point96', 'Point07', 'Point41', 'Point16', 'Point95']
Common Cluster 5 with 7 points:
Current centers: ['Point51']
Points: ['Point00', 'Point65', 'Point75', 'Point81', 'Point51', 'Point54', 'Point26']
Common Cluster 6 with 5 points:
Current centers: ['Point15']
Points: ['Point35', 'Point73', 'Point09', 'Point15', 'Point17']
Common Cluster 7 with 7 points:
Current centers: ['Point25', 'Point43', 'Point62']
Points: ['Point64', 'Point03', 'Point67', 'Point43', 'Point25', 'Point28', 'Point62']
Common Cluster 8 with 4 points:
Current centers: ['Point48']
Points: ['Point48', 'Point84', 'Point63', 'Point23']
Common Cluster 9 with 4 points:
Current centers: ['Point34']
Points: ['Point08', 'Point73', 'Point34', 'Point93']
Common Cluster 10 with 6 points:
Current centers: ['Point49', 'Point50']
Points: ['Point98', 'Point39', 'Point49', 'Point50', 'Point20', 'Point55']
Common Cluster 11 with 4 points:
Current centers: ['Point52']
Points: ['Point56', 'Point41', 'Point59', 'Point52']
Common Cluster 12 with 8 points:
Current centers: ['Point03', 'Point27', 'Point28']
Points: ['Point02', 'Point67', 'Point03', 'Point45', 'Point79', 'Point86', 'Point27', 'Point28']
Common Cluster 13 with 6 points:
Current centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points: ['Point32', 'Point69', 'Point12', 'Point80', 'Point22', 'Point63']
Common Cluster 14 with 7 points:
Current centers: ['Point47', 'Point74']
Points: ['Point35', 'Point06', 'Point70', 'Point08', 'Point74', 'Point47', 'Point61']
Common Cluster 15 with 7 points:
Current centers: ['Point18', 'Point38']
Points: ['Point00', 'Point65', 'Point38', 'Point75', 'Point44', 'Point78', 'Point18']
Common Cluster 16 with 6 points:
Current centers: ['Point19']
Points: ['Point65', 'Point36', 'Point44', 'Point78', 'Point18', 'Point19']
Common Cluster 17 with 5 points:
Current centers: ['Point90']
Points: ['Point35', 'Point39', 'Point73', 'Point90', 'Point93']
Common Cluster 18 with 7 points:
Current centers: ['Point02', 'Point39', 'Point45', 'Point60']
Points: ['Point02', 'Point39', 'Point45', 'Point28', 'Point86', 'Point27', 'Point60']
Common Cluster 19 with 5 points:
Current centers: ['Point10', 'Point56']
Points: ['Point72', 'Point10', 'Point75', 'Point56', 'Point59']
Common Cluster 20 with 5 points:
Current centers: ['Point85']
Points: ['Point71', 'Point14', 'Point85', 'Point89', 'Point58']
Common Cluster 21 with 5 points:
Current centers: ['Point09', 'Point35', 'Point93']
Points: ['Point35', 'Point73', 'Point09', 'Point23', 'Point93']
Common Cluster 22 with 5 points:
Current centers: ['Point07', 'Point16', 'Point95']
Points: ['Point96', 'Point07', 'Point79', 'Point16', 'Point95']
Common Cluster 23 with 5 points:
Current centers: ['Point42']
Points: ['Point96', 'Point07', 'Point42', 'Point16', 'Point89']
Common Cluster 24 with 4 points:
Current centers: ['Point13', 'Point58']
Points: ['Point58', 'Point85', 'Point13', 'Point71']
Common Cluster 25 with 6 points:
Current centers: ['Point20', 'Point54']
Points: ['Point00', 'Point49', 'Point20', 'Point54', 'Point55', 'Point26']
Common Cluster 26 with 5 points:
Current centers: ['Point11', 'Point98']
Points: ['Point98', 'Point11', 'Point56', 'Point57', 'Point30']
Common Cluster 27 with 8 points:
Current centers: ['Point44']
Points: ['Point00', 'Point65', 'Point75', 'Point44', 'Point81', 'Point20', 'Point54', 'Point26']
Common Cluster 28 with 6 points:
Current centers: ['Point06', 'Point08']
Points: ['Point35', 'Point70', 'Point06', 'Point08', 'Point93', 'Point61']
Common Cluster 29 with 4 points:
Current centers: ['Point68']
Points: ['Point97', 'Point68', 'Point61', 'Point94']
Common Cluster 30 with 5 points:
Current centers: ['Point31']
Points: ['Point66', 'Point02', 'Point86', 'Point60', 'Point31']
Common Cluster 31 with 4 points:
Current centers: ['Point57']
Points: ['Point57', 'Point11', 'Point05', 'Point30']
Common Cluster 32 with 5 points:
Current centers: ['Point82']
Points: ['Point09', 'Point15', 'Point82', 'Point89', 'Point91']
Common Cluster 33 with 6 points:
Current centers: ['Point05']
Points: ['Point05', 'Point69', 'Point80', 'Point22', 'Point30', 'Point63']
Common Cluster 34 with 8 points:
Current centers: ['Point00', 'Point21', 'Point75']
Points: ['Point00', 'Point65', 'Point36', 'Point75', 'Point44', 'Point78', 'Point18', 'Point21']
- Analyzing identical clusters in iteration 2:
Found 17 clusters with multiple centers in this iteration
Details of ALL identical clusters in this iteration:
Identical Cluster 1 with 8 points is produced by 3 centers: ['Point00', 'Point21', 'Point75']
Points in this cluster: ['Point00', 'Point65', 'Point75', 'Point36', 'Point21', 'Point18', 'Point78', 'Point44']
No closest neighbor pairs among these centers
Identical Cluster 2 with 7 points is produced by 4 centers: ['Point02', 'Point39', 'Point45', 'Point60']
Points in this cluster: ['Point02', 'Point86', 'Point45', 'Point60', 'Point39', 'Point28', 'Point27']
No closest neighbor pairs among these centers
Identical Cluster 3 with 8 points is produced by 3 centers: ['Point03', 'Point27', 'Point28']
Points in this cluster: ['Point03', 'Point67', 'Point45', 'Point28', 'Point27', 'Point86', 'Point02', 'Point79']
No closest neighbor pairs among these centers
Identical Cluster 4 with 6 points is produced by 2 centers: ['Point06', 'Point08']
Points in this cluster: ['Point06', 'Point70', 'Point61', 'Point08', 'Point35', 'Point93']
No closest neighbor pairs among these centers
Identical Cluster 5 with 5 points is produced by 3 centers: ['Point07', 'Point16', 'Point95']
Points in this cluster: ['Point07', 'Point96', 'Point16', 'Point95', 'Point79']
No closest neighbor pairs among these centers
Identical Cluster 6 with 5 points is produced by 3 centers: ['Point09', 'Point35', 'Point93']
Points in this cluster: ['Point09', 'Point73', 'Point93', 'Point35', 'Point23']
No closest neighbor pairs among these centers
Identical Cluster 7 with 5 points is produced by 2 centers: ['Point10', 'Point56']
Points in this cluster: ['Point10', 'Point72', 'Point59', 'Point56', 'Point75']
No closest neighbor pairs among these centers
Identical Cluster 8 with 5 points is produced by 2 centers: ['Point11', 'Point98']
Points in this cluster: ['Point11', 'Point30', 'Point98', 'Point57', 'Point56']
No closest neighbor pairs among these centers
Identical Cluster 9 with 6 points is produced by 4 centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points in this cluster: ['Point12', 'Point32', 'Point69', 'Point22', 'Point63', 'Point80']
No closest neighbor pairs among these centers
Identical Cluster 10 with 4 points is produced by 2 centers: ['Point13', 'Point58']
Points in this cluster: ['Point13', 'Point71', 'Point58', 'Point85']
No closest neighbor pairs among these centers
Identical Cluster 11 with 7 points is produced by 2 centers: ['Point18', 'Point38']
Points in this cluster: ['Point18', 'Point78', 'Point44', 'Point38', 'Point00', 'Point65', 'Point75']
No closest neighbor pairs among these centers
Identical Cluster 12 with 6 points is produced by 2 centers: ['Point20', 'Point54']
Points in this cluster: ['Point20', 'Point26', 'Point54', 'Point49', 'Point55', 'Point00']
No closest neighbor pairs among these centers
Identical Cluster 13 with 4 points is produced by 2 centers: ['Point24', 'Point46']
Points in this cluster: ['Point24', 'Point46', 'Point66', 'Point31']
No closest neighbor pairs among these centers
Identical Cluster 14 with 7 points is produced by 3 centers: ['Point25', 'Point43', 'Point62']
Points in this cluster: ['Point25', 'Point43', 'Point64', 'Point28', 'Point03', 'Point62', 'Point67']
No closest neighbor pairs among these centers
Identical Cluster 15 with 7 points is produced by 2 centers: ['Point47', 'Point74']
Points in this cluster: ['Point47', 'Point74', 'Point35', 'Point06', 'Point61', 'Point70', 'Point08']
No closest neighbor pairs among these centers
Identical Cluster 16 with 6 points is produced by 2 centers: ['Point49', 'Point50']
Points in this cluster: ['Point49', 'Point20', 'Point55', 'Point50', 'Point98', 'Point39']
No closest neighbor pairs among these centers
Identical Cluster 17 with 5 points is produced by 2 centers: ['Point76', 'Point97']
Points in this cluster: ['Point76', 'Point99', 'Point97', 'Point60', 'Point39']
No closest neighbor pairs among these centers
Found 7 tied clusters with 8 points:
Center: Point00, Diameter: 0.4547
Center: Point03, Diameter: 0.4835
Center: Point21, Diameter: 0.4547
Center: Point27, Diameter: 0.4835
Center: Point28, Diameter: 0.4835
Center: Point44, Diameter: 0.4865
Center: Point75, Diameter: 0.4547
Selected center Point00 with minimum diameter 0.4547
- Selected best cluster with 8 points: ['Point00', 'Point65', 'Point75', 'Point36', 'Point21', 'Point18', 'Point78', 'Point44']
- Center point: Point00
- This selected cluster could also have been produced by these centers: ['Point21', 'Point75']
Cluster update statistics:
Removed 5 centers that were in the best cluster
Removed centers: ['Point00', 'Point18', 'Point21', 'Point44', 'Point75']
Regenerated clusters for 59 centers
Regenerated centers: ['Point02', 'Point03', 'Point04', 'Point05', 'Point06', 'Point07', 'Point08', 'Point09', 'Point10', 'Point11', 'Point12', 'Point13', 'Point14', 'Point15', 'Point16', 'Point19', 'Point20', 'Point22', 'Point23', 'Point24', 'Point25', 'Point27', 'Point28', 'Point31', 'Point32', 'Point34', 'Point35', 'Point38', 'Point39', 'Point41', 'Point42', 'Point43', 'Point45', 'Point46', 'Point47', 'Point48', 'Point49', 'Point50', 'Point51', 'Point52', 'Point54', 'Point56', 'Point57', 'Point58', 'Point60', 'Point62', 'Point63', 'Point68', 'Point74', 'Point76', 'Point82', 'Point85', 'Point87', 'Point88', 'Point90', 'Point93', 'Point95', 'Point97', 'Point98']
- Added 8 new points to used points
- Regenerated 59 candidate clusters
- Iteration completed in 0.00 seconds
Iteration 3:
- Points used so far: 17/100
- Candidate clusters remaining: 59
- CROSS-ITERATION CLUSTER ANALYSIS (Iteration 3):
Comparing with Iteration 1:
Found 27 identical clusters between iterations 1 and 3
Details of clusters appearing in both iterations 1 and 3:
Common Cluster 1 with 6 points:
Current centers: ['Point14']
Points: ['Point14', 'Point15', 'Point81', 'Point17', 'Point51', 'Point89']
Common Cluster 2 with 4 points:
Current centers: ['Point88']
Points: ['Point88', 'Point74', 'Point84', 'Point06']
Common Cluster 3 with 5 points:
Current centers: ['Point76', 'Point97']
Points: ['Point97', 'Point99', 'Point39', 'Point76', 'Point60']
Common Cluster 4 with 5 points:
Current centers: ['Point41']
Points: ['Point96', 'Point07', 'Point41', 'Point16', 'Point95']
Common Cluster 5 with 5 points:
Current centers: ['Point15']
Points: ['Point35', 'Point73', 'Point09', 'Point15', 'Point17']
Common Cluster 6 with 7 points:
Current centers: ['Point25', 'Point43', 'Point62']
Points: ['Point64', 'Point03', 'Point67', 'Point43', 'Point25', 'Point28', 'Point62']
Common Cluster 7 with 4 points:
Current centers: ['Point48']
Points: ['Point48', 'Point84', 'Point63', 'Point23']
Common Cluster 8 with 4 points:
Current centers: ['Point34']
Points: ['Point08', 'Point73', 'Point34', 'Point93']
Common Cluster 9 with 6 points:
Current centers: ['Point49', 'Point50']
Points: ['Point98', 'Point39', 'Point49', 'Point50', 'Point20', 'Point55']
Common Cluster 10 with 4 points:
Current centers: ['Point52']
Points: ['Point56', 'Point41', 'Point59', 'Point52']
Common Cluster 11 with 8 points:
Current centers: ['Point03', 'Point27', 'Point28']
Points: ['Point02', 'Point67', 'Point03', 'Point45', 'Point79', 'Point86', 'Point27', 'Point28']
Common Cluster 12 with 6 points:
Current centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points: ['Point32', 'Point69', 'Point12', 'Point80', 'Point22', 'Point63']
Common Cluster 13 with 7 points:
Current centers: ['Point47', 'Point74']
Points: ['Point35', 'Point06', 'Point70', 'Point08', 'Point74', 'Point47', 'Point61']
Common Cluster 14 with 5 points:
Current centers: ['Point90']
Points: ['Point35', 'Point39', 'Point73', 'Point90', 'Point93']
Common Cluster 15 with 7 points:
Current centers: ['Point02', 'Point39', 'Point45', 'Point60']
Points: ['Point02', 'Point39', 'Point45', 'Point28', 'Point86', 'Point27', 'Point60']
Common Cluster 16 with 5 points:
Current centers: ['Point85']
Points: ['Point71', 'Point14', 'Point85', 'Point89', 'Point58']
Common Cluster 17 with 5 points:
Current centers: ['Point09', 'Point35', 'Point93']
Points: ['Point35', 'Point73', 'Point09', 'Point23', 'Point93']
Common Cluster 18 with 5 points:
Current centers: ['Point07', 'Point16', 'Point95']
Points: ['Point96', 'Point07', 'Point79', 'Point16', 'Point95']
Common Cluster 19 with 5 points:
Current centers: ['Point42']
Points: ['Point96', 'Point07', 'Point42', 'Point16', 'Point89']
Common Cluster 20 with 4 points:
Current centers: ['Point13', 'Point58']
Points: ['Point58', 'Point85', 'Point13', 'Point71']
Common Cluster 21 with 5 points:
Current centers: ['Point11', 'Point98']
Points: ['Point98', 'Point11', 'Point56', 'Point57', 'Point30']
Common Cluster 22 with 6 points:
Current centers: ['Point06', 'Point08']
Points: ['Point35', 'Point70', 'Point06', 'Point08', 'Point93', 'Point61']
Common Cluster 23 with 4 points:
Current centers: ['Point68']
Points: ['Point97', 'Point68', 'Point61', 'Point94']
Common Cluster 24 with 5 points:
Current centers: ['Point31']
Points: ['Point66', 'Point02', 'Point86', 'Point60', 'Point31']
Common Cluster 25 with 4 points:
Current centers: ['Point57']
Points: ['Point57', 'Point11', 'Point05', 'Point30']
Common Cluster 26 with 5 points:
Current centers: ['Point82']
Points: ['Point09', 'Point15', 'Point82', 'Point89', 'Point91']
Common Cluster 27 with 6 points:
Current centers: ['Point05']
Points: ['Point05', 'Point69', 'Point80', 'Point22', 'Point30', 'Point63']
Comparing with Iteration 2:
Found 31 identical clusters between iterations 2 and 3
Details of clusters appearing in both iterations 2 and 3:
Common Cluster 1 with 6 points:
Current centers: ['Point14']
Points: ['Point14', 'Point15', 'Point81', 'Point17', 'Point51', 'Point89']
Common Cluster 2 with 4 points:
Current centers: ['Point88']
Points: ['Point88', 'Point74', 'Point84', 'Point06']
Common Cluster 3 with 5 points:
Current centers: ['Point76', 'Point97']
Points: ['Point97', 'Point99', 'Point39', 'Point76', 'Point60']
Common Cluster 4 with 4 points:
Current centers: ['Point24', 'Point46']
Points: ['Point24', 'Point66', 'Point46', 'Point31']
Common Cluster 5 with 5 points:
Current centers: ['Point41']
Points: ['Point96', 'Point07', 'Point41', 'Point16', 'Point95']
Common Cluster 6 with 5 points:
Current centers: ['Point15']
Points: ['Point35', 'Point73', 'Point09', 'Point15', 'Point17']
Common Cluster 7 with 7 points:
Current centers: ['Point25', 'Point43', 'Point62']
Points: ['Point64', 'Point03', 'Point67', 'Point43', 'Point25', 'Point28', 'Point62']
Common Cluster 8 with 4 points:
Current centers: ['Point48']
Points: ['Point48', 'Point84', 'Point63', 'Point23']
Common Cluster 9 with 4 points:
Current centers: ['Point34']
Points: ['Point08', 'Point73', 'Point34', 'Point93']
Common Cluster 10 with 6 points:
Current centers: ['Point49', 'Point50']
Points: ['Point98', 'Point39', 'Point49', 'Point50', 'Point20', 'Point55']
Common Cluster 11 with 4 points:
Current centers: ['Point52']
Points: ['Point56', 'Point41', 'Point59', 'Point52']
Common Cluster 12 with 8 points:
Current centers: ['Point03', 'Point27', 'Point28']
Points: ['Point02', 'Point67', 'Point03', 'Point45', 'Point79', 'Point86', 'Point27', 'Point28']
Common Cluster 13 with 6 points:
Current centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points: ['Point32', 'Point69', 'Point12', 'Point80', 'Point22', 'Point63']
Common Cluster 14 with 7 points:
Current centers: ['Point47', 'Point74']
Points: ['Point35', 'Point06', 'Point70', 'Point08', 'Point74', 'Point47', 'Point61']
Common Cluster 15 with 4 points:
Current centers: ['Point04']
Points: ['Point24', 'Point66', 'Point04', 'Point46']
Common Cluster 16 with 5 points:
Current centers: ['Point90']
Points: ['Point35', 'Point39', 'Point73', 'Point90', 'Point93']
Common Cluster 17 with 7 points:
Current centers: ['Point02', 'Point39', 'Point45', 'Point60']
Points: ['Point02', 'Point39', 'Point45', 'Point28', 'Point86', 'Point27', 'Point60']
Common Cluster 18 with 6 points:
Current centers: ['Point23']
Points: ['Point69', 'Point12', 'Point46', 'Point80', 'Point23', 'Point63']
Common Cluster 19 with 5 points:
Current centers: ['Point85']
Points: ['Point71', 'Point14', 'Point85', 'Point89', 'Point58']
Common Cluster 20 with 5 points:
Current centers: ['Point09', 'Point35', 'Point93']
Points: ['Point35', 'Point73', 'Point09', 'Point23', 'Point93']
Common Cluster 21 with 5 points:
Current centers: ['Point07', 'Point16', 'Point95']
Points: ['Point96', 'Point07', 'Point79', 'Point16', 'Point95']
Common Cluster 22 with 5 points:
Current centers: ['Point42']
Points: ['Point96', 'Point07', 'Point42', 'Point16', 'Point89']
Common Cluster 23 with 3 points:
Current centers: ['Point87']
Points: ['Point24', 'Point46', 'Point87']
Common Cluster 24 with 4 points:
Current centers: ['Point13', 'Point58']
Points: ['Point58', 'Point85', 'Point13', 'Point71']
Common Cluster 25 with 5 points:
Current centers: ['Point11', 'Point98']
Points: ['Point98', 'Point11', 'Point56', 'Point57', 'Point30']
Common Cluster 26 with 6 points:
Current centers: ['Point06', 'Point08']
Points: ['Point35', 'Point70', 'Point06', 'Point08', 'Point93', 'Point61']
Common Cluster 27 with 4 points:
Current centers: ['Point68']
Points: ['Point97', 'Point68', 'Point61', 'Point94']
Common Cluster 28 with 5 points:
Current centers: ['Point31']
Points: ['Point66', 'Point02', 'Point86', 'Point60', 'Point31']
Common Cluster 29 with 4 points:
Current centers: ['Point57']
Points: ['Point57', 'Point11', 'Point05', 'Point30']
Common Cluster 30 with 5 points:
Current centers: ['Point82']
Points: ['Point09', 'Point15', 'Point82', 'Point89', 'Point91']
Common Cluster 31 with 6 points:
Current centers: ['Point05']
Points: ['Point05', 'Point69', 'Point80', 'Point22', 'Point30', 'Point63']
- Analyzing identical clusters in iteration 3:
Found 15 clusters with multiple centers in this iteration
Details of ALL identical clusters in this iteration:
Identical Cluster 1 with 7 points is produced by 4 centers: ['Point02', 'Point39', 'Point45', 'Point60']
Points in this cluster: ['Point02', 'Point86', 'Point45', 'Point60', 'Point39', 'Point28', 'Point27']
No closest neighbor pairs among these centers
Identical Cluster 2 with 8 points is produced by 3 centers: ['Point03', 'Point27', 'Point28']
Points in this cluster: ['Point03', 'Point67', 'Point45', 'Point28', 'Point27', 'Point86', 'Point02', 'Point79']
No closest neighbor pairs among these centers
Identical Cluster 3 with 6 points is produced by 2 centers: ['Point06', 'Point08']
Points in this cluster: ['Point06', 'Point70', 'Point61', 'Point08', 'Point35', 'Point93']
No closest neighbor pairs among these centers
Identical Cluster 4 with 5 points is produced by 3 centers: ['Point07', 'Point16', 'Point95']
Points in this cluster: ['Point07', 'Point96', 'Point16', 'Point95', 'Point79']
No closest neighbor pairs among these centers
Identical Cluster 5 with 5 points is produced by 3 centers: ['Point09', 'Point35', 'Point93']
Points in this cluster: ['Point09', 'Point73', 'Point93', 'Point35', 'Point23']
No closest neighbor pairs among these centers
Identical Cluster 6 with 4 points is produced by 2 centers: ['Point10', 'Point56']
Points in this cluster: ['Point10', 'Point72', 'Point59', 'Point56']
No closest neighbor pairs among these centers
Identical Cluster 7 with 5 points is produced by 2 centers: ['Point11', 'Point98']
Points in this cluster: ['Point11', 'Point30', 'Point98', 'Point57', 'Point56']
No closest neighbor pairs among these centers
Identical Cluster 8 with 6 points is produced by 4 centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points in this cluster: ['Point12', 'Point32', 'Point69', 'Point22', 'Point63', 'Point80']
No closest neighbor pairs among these centers
Identical Cluster 9 with 4 points is produced by 2 centers: ['Point13', 'Point58']
Points in this cluster: ['Point13', 'Point71', 'Point58', 'Point85']
No closest neighbor pairs among these centers
Identical Cluster 10 with 5 points is produced by 2 centers: ['Point20', 'Point54']
Points in this cluster: ['Point20', 'Point26', 'Point54', 'Point49', 'Point55']
No closest neighbor pairs among these centers
Identical Cluster 11 with 4 points is produced by 2 centers: ['Point24', 'Point46']
Points in this cluster: ['Point24', 'Point46', 'Point66', 'Point31']
No closest neighbor pairs among these centers
Identical Cluster 12 with 7 points is produced by 3 centers: ['Point25', 'Point43', 'Point62']
Points in this cluster: ['Point25', 'Point43', 'Point64', 'Point28', 'Point03', 'Point62', 'Point67']
No closest neighbor pairs among these centers
Identical Cluster 13 with 7 points is produced by 2 centers: ['Point47', 'Point74']
Points in this cluster: ['Point47', 'Point74', 'Point35', 'Point06', 'Point61', 'Point70', 'Point08']
No closest neighbor pairs among these centers
Identical Cluster 14 with 6 points is produced by 2 centers: ['Point49', 'Point50']
Points in this cluster: ['Point49', 'Point20', 'Point55', 'Point50', 'Point98', 'Point39']
No closest neighbor pairs among these centers
Identical Cluster 15 with 5 points is produced by 2 centers: ['Point76', 'Point97']
Points in this cluster: ['Point76', 'Point99', 'Point97', 'Point60', 'Point39']
No closest neighbor pairs among these centers
Found 3 tied clusters with 8 points:
Center: Point03, Diameter: 0.4835
Center: Point27, Diameter: 0.4835
Center: Point28, Diameter: 0.4835
Selected center Point03 with minimum diameter 0.4835
- Selected best cluster with 8 points: ['Point03', 'Point67', 'Point45', 'Point28', 'Point27', 'Point86', 'Point02', 'Point79']
- Center point: Point03
- This selected cluster could also have been produced by these centers: ['Point27', 'Point28']
Cluster update statistics:
Removed 5 centers that were in the best cluster
Removed centers: ['Point02', 'Point03', 'Point27', 'Point28', 'Point45']
Regenerated clusters for 54 centers
Regenerated centers: ['Point04', 'Point05', 'Point06', 'Point07', 'Point08', 'Point09', 'Point10', 'Point11', 'Point12', 'Point13', 'Point14', 'Point15', 'Point16', 'Point19', 'Point20', 'Point22', 'Point23', 'Point24', 'Point25', 'Point31', 'Point32', 'Point34', 'Point35', 'Point38', 'Point39', 'Point41', 'Point42', 'Point43', 'Point46', 'Point47', 'Point48', 'Point49', 'Point50', 'Point51', 'Point52', 'Point54', 'Point56', 'Point57', 'Point58', 'Point60', 'Point62', 'Point63', 'Point68', 'Point74', 'Point76', 'Point82', 'Point85', 'Point87', 'Point88', 'Point90', 'Point93', 'Point95', 'Point97', 'Point98']
- Added 8 new points to used points
- Regenerated 54 candidate clusters
- Iteration completed in 0.00 seconds
Iteration 4:
- Points used so far: 25/100
- Candidate clusters remaining: 54
- CROSS-ITERATION CLUSTER ANALYSIS (Iteration 4):
Comparing with Iteration 1:
Found 22 identical clusters between iterations 1 and 4
Details of clusters appearing in both iterations 1 and 4:
Common Cluster 1 with 6 points:
Current centers: ['Point14']
Points: ['Point14', 'Point15', 'Point81', 'Point17', 'Point51', 'Point89']
Common Cluster 2 with 4 points:
Current centers: ['Point88']
Points: ['Point88', 'Point74', 'Point84', 'Point06']
Common Cluster 3 with 5 points:
Current centers: ['Point39', 'Point60', 'Point76', 'Point97']
Points: ['Point97', 'Point99', 'Point39', 'Point76', 'Point60']
Common Cluster 4 with 5 points:
Current centers: ['Point07', 'Point16', 'Point41']
Points: ['Point96', 'Point07', 'Point41', 'Point16', 'Point95']
Common Cluster 5 with 5 points:
Current centers: ['Point15']
Points: ['Point35', 'Point73', 'Point09', 'Point15', 'Point17']
Common Cluster 6 with 4 points:
Current centers: ['Point48']
Points: ['Point48', 'Point84', 'Point63', 'Point23']
Common Cluster 7 with 4 points:
Current centers: ['Point34']
Points: ['Point08', 'Point73', 'Point34', 'Point93']
Common Cluster 8 with 6 points:
Current centers: ['Point49', 'Point50']
Points: ['Point98', 'Point39', 'Point49', 'Point50', 'Point20', 'Point55']
Common Cluster 9 with 4 points:
Current centers: ['Point52']
Points: ['Point56', 'Point41', 'Point59', 'Point52']
Common Cluster 10 with 6 points:
Current centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points: ['Point32', 'Point69', 'Point12', 'Point80', 'Point22', 'Point63']
Common Cluster 11 with 7 points:
Current centers: ['Point47', 'Point74']
Points: ['Point35', 'Point06', 'Point70', 'Point08', 'Point74', 'Point47', 'Point61']
Common Cluster 12 with 5 points:
Current centers: ['Point90']
Points: ['Point35', 'Point39', 'Point73', 'Point90', 'Point93']
Common Cluster 13 with 5 points:
Current centers: ['Point85']
Points: ['Point71', 'Point14', 'Point85', 'Point89', 'Point58']
Common Cluster 14 with 5 points:
Current centers: ['Point09', 'Point35', 'Point93']
Points: ['Point35', 'Point73', 'Point09', 'Point23', 'Point93']
Common Cluster 15 with 5 points:
Current centers: ['Point42']
Points: ['Point96', 'Point07', 'Point42', 'Point16', 'Point89']
Common Cluster 16 with 4 points:
Current centers: ['Point13', 'Point58']
Points: ['Point58', 'Point85', 'Point13', 'Point71']
Common Cluster 17 with 5 points:
Current centers: ['Point11', 'Point98']
Points: ['Point98', 'Point11', 'Point56', 'Point57', 'Point30']
Common Cluster 18 with 6 points:
Current centers: ['Point06', 'Point08']
Points: ['Point35', 'Point70', 'Point06', 'Point08', 'Point93', 'Point61']
Common Cluster 19 with 4 points:
Current centers: ['Point68']
Points: ['Point97', 'Point68', 'Point61', 'Point94']
Common Cluster 20 with 4 points:
Current centers: ['Point57']
Points: ['Point57', 'Point11', 'Point05', 'Point30']
Common Cluster 21 with 5 points:
Current centers: ['Point82']
Points: ['Point09', 'Point15', 'Point82', 'Point89', 'Point91']
Common Cluster 22 with 6 points:
Current centers: ['Point05']
Points: ['Point05', 'Point69', 'Point80', 'Point22', 'Point30', 'Point63']
Comparing with Iteration 2:
Found 26 identical clusters between iterations 2 and 4
Details of clusters appearing in both iterations 2 and 4:
Common Cluster 1 with 6 points:
Current centers: ['Point14']
Points: ['Point14', 'Point15', 'Point81', 'Point17', 'Point51', 'Point89']
Common Cluster 2 with 4 points:
Current centers: ['Point88']
Points: ['Point88', 'Point74', 'Point84', 'Point06']
Common Cluster 3 with 5 points:
Current centers: ['Point39', 'Point60', 'Point76', 'Point97']
Points: ['Point97', 'Point99', 'Point39', 'Point76', 'Point60']
Common Cluster 4 with 4 points:
Current centers: ['Point24', 'Point46']
Points: ['Point24', 'Point66', 'Point46', 'Point31']
Common Cluster 5 with 5 points:
Current centers: ['Point07', 'Point16', 'Point41']
Points: ['Point96', 'Point07', 'Point41', 'Point16', 'Point95']
Common Cluster 6 with 5 points:
Current centers: ['Point15']
Points: ['Point35', 'Point73', 'Point09', 'Point15', 'Point17']
Common Cluster 7 with 4 points:
Current centers: ['Point48']
Points: ['Point48', 'Point84', 'Point63', 'Point23']
Common Cluster 8 with 4 points:
Current centers: ['Point34']
Points: ['Point08', 'Point73', 'Point34', 'Point93']
Common Cluster 9 with 6 points:
Current centers: ['Point49', 'Point50']
Points: ['Point98', 'Point39', 'Point49', 'Point50', 'Point20', 'Point55']
Common Cluster 10 with 4 points:
Current centers: ['Point52']
Points: ['Point56', 'Point41', 'Point59', 'Point52']
Common Cluster 11 with 6 points:
Current centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points: ['Point32', 'Point69', 'Point12', 'Point80', 'Point22', 'Point63']
Common Cluster 12 with 7 points:
Current centers: ['Point47', 'Point74']
Points: ['Point35', 'Point06', 'Point70', 'Point08', 'Point74', 'Point47', 'Point61']
Common Cluster 13 with 4 points:
Current centers: ['Point04']
Points: ['Point24', 'Point66', 'Point04', 'Point46']
Common Cluster 14 with 5 points:
Current centers: ['Point90']
Points: ['Point35', 'Point39', 'Point73', 'Point90', 'Point93']
Common Cluster 15 with 6 points:
Current centers: ['Point23']
Points: ['Point69', 'Point12', 'Point46', 'Point80', 'Point23', 'Point63']
Common Cluster 16 with 5 points:
Current centers: ['Point85']
Points: ['Point71', 'Point14', 'Point85', 'Point89', 'Point58']
Common Cluster 17 with 5 points:
Current centers: ['Point09', 'Point35', 'Point93']
Points: ['Point35', 'Point73', 'Point09', 'Point23', 'Point93']
Common Cluster 18 with 5 points:
Current centers: ['Point42']
Points: ['Point96', 'Point07', 'Point42', 'Point16', 'Point89']
Common Cluster 19 with 3 points:
Current centers: ['Point87']
Points: ['Point24', 'Point46', 'Point87']
Common Cluster 20 with 4 points:
Current centers: ['Point13', 'Point58']
Points: ['Point58', 'Point85', 'Point13', 'Point71']
Common Cluster 21 with 5 points:
Current centers: ['Point11', 'Point98']
Points: ['Point98', 'Point11', 'Point56', 'Point57', 'Point30']
Common Cluster 22 with 6 points:
Current centers: ['Point06', 'Point08']
Points: ['Point35', 'Point70', 'Point06', 'Point08', 'Point93', 'Point61']
Common Cluster 23 with 4 points:
Current centers: ['Point68']
Points: ['Point97', 'Point68', 'Point61', 'Point94']
Common Cluster 24 with 4 points:
Current centers: ['Point57']
Points: ['Point57', 'Point11', 'Point05', 'Point30']
Common Cluster 25 with 5 points:
Current centers: ['Point82']
Points: ['Point09', 'Point15', 'Point82', 'Point89', 'Point91']
Common Cluster 26 with 6 points:
Current centers: ['Point05']
Points: ['Point05', 'Point69', 'Point80', 'Point22', 'Point30', 'Point63']
Comparing with Iteration 3:
Found 31 identical clusters between iterations 3 and 4
Details of clusters appearing in both iterations 3 and 4:
Common Cluster 1 with 6 points:
Current centers: ['Point14']
Points: ['Point14', 'Point15', 'Point81', 'Point17', 'Point51', 'Point89']
Common Cluster 2 with 4 points:
Current centers: ['Point88']
Points: ['Point88', 'Point74', 'Point84', 'Point06']
Common Cluster 3 with 5 points:
Current centers: ['Point39', 'Point60', 'Point76', 'Point97']
Points: ['Point97', 'Point99', 'Point39', 'Point76', 'Point60']
Common Cluster 4 with 4 points:
Current centers: ['Point24', 'Point46']
Points: ['Point24', 'Point66', 'Point46', 'Point31']
Common Cluster 5 with 5 points:
Current centers: ['Point07', 'Point16', 'Point41']
Points: ['Point96', 'Point07', 'Point41', 'Point16', 'Point95']
Common Cluster 6 with 5 points:
Current centers: ['Point15']
Points: ['Point35', 'Point73', 'Point09', 'Point15', 'Point17']
Common Cluster 7 with 4 points:
Current centers: ['Point48']
Points: ['Point48', 'Point84', 'Point63', 'Point23']
Common Cluster 8 with 4 points:
Current centers: ['Point34']
Points: ['Point08', 'Point73', 'Point34', 'Point93']
Common Cluster 9 with 6 points:
Current centers: ['Point49', 'Point50']
Points: ['Point98', 'Point39', 'Point49', 'Point50', 'Point20', 'Point55']
Common Cluster 10 with 4 points:
Current centers: ['Point52']
Points: ['Point56', 'Point41', 'Point59', 'Point52']
Common Cluster 11 with 6 points:
Current centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points: ['Point32', 'Point69', 'Point12', 'Point80', 'Point22', 'Point63']
Common Cluster 12 with 7 points:
Current centers: ['Point47', 'Point74']
Points: ['Point35', 'Point06', 'Point70', 'Point08', 'Point74', 'Point47', 'Point61']
Common Cluster 13 with 5 points:
Current centers: ['Point38']
Points: ['Point05', 'Point38', 'Point80', 'Point30', 'Point63']
Common Cluster 14 with 4 points:
Current centers: ['Point04']
Points: ['Point24', 'Point66', 'Point04', 'Point46']
Common Cluster 15 with 5 points:
Current centers: ['Point90']
Points: ['Point35', 'Point39', 'Point73', 'Point90', 'Point93']
Common Cluster 16 with 4 points:
Current centers: ['Point51']
Points: ['Point81', 'Point26', 'Point51', 'Point54']
Common Cluster 17 with 6 points:
Current centers: ['Point23']
Points: ['Point69', 'Point12', 'Point46', 'Point80', 'Point23', 'Point63']
Common Cluster 18 with 5 points:
Current centers: ['Point85']
Points: ['Point71', 'Point14', 'Point85', 'Point89', 'Point58']
Common Cluster 19 with 5 points:
Current centers: ['Point09', 'Point35', 'Point93']
Points: ['Point35', 'Point73', 'Point09', 'Point23', 'Point93']
Common Cluster 20 with 3 points:
Current centers: ['Point19']
Points: ['Point81', 'Point19', 'Point51']
Common Cluster 21 with 5 points:
Current centers: ['Point42']
Points: ['Point96', 'Point07', 'Point42', 'Point16', 'Point89']
Common Cluster 22 with 3 points:
Current centers: ['Point87']
Points: ['Point24', 'Point46', 'Point87']
Common Cluster 23 with 4 points:
Current centers: ['Point13', 'Point58']
Points: ['Point58', 'Point85', 'Point13', 'Point71']
Common Cluster 24 with 4 points:
Current centers: ['Point10', 'Point56']
Points: ['Point72', 'Point56', 'Point10', 'Point59']
Common Cluster 25 with 5 points:
Current centers: ['Point20', 'Point54']
Points: ['Point49', 'Point20', 'Point54', 'Point55', 'Point26']
Common Cluster 26 with 5 points:
Current centers: ['Point11', 'Point98']
Points: ['Point98', 'Point11', 'Point56', 'Point57', 'Point30']
Common Cluster 27 with 6 points:
Current centers: ['Point06', 'Point08']
Points: ['Point35', 'Point70', 'Point06', 'Point08', 'Point93', 'Point61']
Common Cluster 28 with 4 points:
Current centers: ['Point68']
Points: ['Point97', 'Point68', 'Point61', 'Point94']
Common Cluster 29 with 4 points:
Current centers: ['Point57']
Points: ['Point57', 'Point11', 'Point05', 'Point30']
Common Cluster 30 with 5 points:
Current centers: ['Point82']
Points: ['Point09', 'Point15', 'Point82', 'Point89', 'Point91']
Common Cluster 31 with 6 points:
Current centers: ['Point05']
Points: ['Point05', 'Point69', 'Point80', 'Point22', 'Point30', 'Point63']
- Analyzing identical clusters in iteration 4:
Found 13 clusters with multiple centers in this iteration
Details of ALL identical clusters in this iteration:
Identical Cluster 1 with 6 points is produced by 2 centers: ['Point06', 'Point08']
Points in this cluster: ['Point06', 'Point70', 'Point61', 'Point08', 'Point35', 'Point93']
No closest neighbor pairs among these centers
Identical Cluster 2 with 5 points is produced by 3 centers: ['Point07', 'Point16', 'Point41']
Points in this cluster: ['Point07', 'Point96', 'Point16', 'Point95', 'Point41']
No closest neighbor pairs among these centers
Identical Cluster 3 with 5 points is produced by 3 centers: ['Point09', 'Point35', 'Point93']
Points in this cluster: ['Point09', 'Point73', 'Point93', 'Point35', 'Point23']
No closest neighbor pairs among these centers
Identical Cluster 4 with 4 points is produced by 2 centers: ['Point10', 'Point56']
Points in this cluster: ['Point10', 'Point72', 'Point59', 'Point56']
No closest neighbor pairs among these centers
Identical Cluster 5 with 5 points is produced by 2 centers: ['Point11', 'Point98']
Points in this cluster: ['Point11', 'Point30', 'Point98', 'Point57', 'Point56']
No closest neighbor pairs among these centers
Identical Cluster 6 with 6 points is produced by 4 centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points in this cluster: ['Point12', 'Point32', 'Point69', 'Point22', 'Point63', 'Point80']
No closest neighbor pairs among these centers
Identical Cluster 7 with 4 points is produced by 2 centers: ['Point13', 'Point58']
Points in this cluster: ['Point13', 'Point71', 'Point58', 'Point85']
No closest neighbor pairs among these centers
Identical Cluster 8 with 5 points is produced by 2 centers: ['Point20', 'Point54']
Points in this cluster: ['Point20', 'Point26', 'Point54', 'Point49', 'Point55']
No closest neighbor pairs among these centers
Identical Cluster 9 with 4 points is produced by 2 centers: ['Point24', 'Point46']
Points in this cluster: ['Point24', 'Point46', 'Point66', 'Point31']
No closest neighbor pairs among these centers
Identical Cluster 10 with 4 points is produced by 3 centers: ['Point25', 'Point43', 'Point62']
Points in this cluster: ['Point25', 'Point43', 'Point64', 'Point62']
No closest neighbor pairs among these centers
Identical Cluster 11 with 5 points is produced by 4 centers: ['Point39', 'Point60', 'Point76', 'Point97']
Points in this cluster: ['Point39', 'Point60', 'Point76', 'Point99', 'Point97']
No closest neighbor pairs among these centers
Identical Cluster 12 with 7 points is produced by 2 centers: ['Point47', 'Point74']
Points in this cluster: ['Point47', 'Point74', 'Point35', 'Point06', 'Point61', 'Point70', 'Point08']
No closest neighbor pairs among these centers
Identical Cluster 13 with 6 points is produced by 2 centers: ['Point49', 'Point50']
Points in this cluster: ['Point49', 'Point20', 'Point55', 'Point50', 'Point98', 'Point39']
No closest neighbor pairs among these centers
Found 2 tied clusters with 7 points:
Center: Point47, Diameter: 0.4884
Center: Point74, Diameter: 0.4884
Selected center Point47 with minimum diameter 0.4884
- Selected best cluster with 7 points: ['Point47', 'Point74', 'Point35', 'Point06', 'Point61', 'Point70', 'Point08']
- Center point: Point47
- This selected cluster could also have been produced by these centers: ['Point74']
Cluster update statistics:
Removed 5 centers that were in the best cluster
Removed centers: ['Point06', 'Point08', 'Point35', 'Point47', 'Point74']
Regenerated clusters for 49 centers
Regenerated centers: ['Point04', 'Point05', 'Point07', 'Point09', 'Point10', 'Point11', 'Point12', 'Point13', 'Point14', 'Point15', 'Point16', 'Point19', 'Point20', 'Point22', 'Point23', 'Point24', 'Point25', 'Point31', 'Point32', 'Point34', 'Point38', 'Point39', 'Point41', 'Point42', 'Point43', 'Point46', 'Point48', 'Point49', 'Point50', 'Point51', 'Point52', 'Point54', 'Point56', 'Point57', 'Point58', 'Point60', 'Point62', 'Point63', 'Point68', 'Point76', 'Point82', 'Point85', 'Point87', 'Point88', 'Point90', 'Point93', 'Point95', 'Point97', 'Point98']
- Added 7 new points to used points
- Regenerated 49 candidate clusters
- Iteration completed in 0.00 seconds
Iteration 5:
- Points used so far: 32/100
- Candidate clusters remaining: 49
- CROSS-ITERATION CLUSTER ANALYSIS (Iteration 5):
Comparing with Iteration 1:
Found 14 identical clusters between iterations 1 and 5
Details of clusters appearing in both iterations 1 and 5:
Common Cluster 1 with 6 points:
Current centers: ['Point12', 'Point22', 'Point32', 'Point63']
Points: ['Point32', 'Point69', 'Point12', 'Point80', 'Point22', 'Point63']
Common Cluster 2 with 6 points:
Current centers: ['Point14']
Points: ['Point14', 'Point15', 'Point81', 'Point17', 'Point51', 'Point89']
Common Cluster 3 with 5 points:
Current centers: ['Point85']
Points: ['Point71', 'Point14', 'Point85', 'Point89', 'Point58']
Common Cluster 4 with 4 points:
Current centers: ['Point57']
Points: ['Point57', 'Point11', 'Point05', 'Point30']
Common Cluster 5 with 5 points:
Current centers: ['Point39', 'Point60', 'Point76', 'Point97']
Points: ['Point97', 'Point99', 'Point39', 'Point76', 'Point60']
Common Cluster 6 with 5 points:
Current centers: ['Point42']
Points: ['Point96', 'Point07', 'Point42', 'Point16', 'Point89']
Common Cluster 7 with 5 points:
Current centers: ['Point07', 'Point16', 'Point41']
Points: ['Point96', 'Point07', 'Point41', 'Point16', 'Point95']
Common Cluster 8 with 5 points:
Current centers: ['Point82']
Points: ['Point09', 'Point15', 'Point82', 'Point89', 'Point91']
Common Cluster 9 with 4 points:
Current centers: ['Point13', 'Point58']
Points: ['Point58', 'Point85', 'Point13', 'Point71']
Common Cluster 10 with 4 points:
Current centers: ['Point48']
Points: ['Point48', 'Point84', 'Point63', 'Point23']
Common Cluster 11 with 6 points:
Current centers: ['Point49', 'Point50']
Points: ['Point98', 'Point39', 'Point49', 'Point50', 'Point20', 'Point55']
Common Cluster 12 with 5 points:
Current centers: ['Point11', 'Point98']
Points: ['Point98', 'Point11', 'Point56', 'Point57', 'Point30']
Common Cluster 13 with 4 points:
Current centers: ['Point52']
Points: ['Point56', 'Point41', 'Point59', 'Point52']
Common Cluster 14 with 6 points:
Current centers: ['Point05']
Points: ['Point05', 'Point69', 'Point80', 'Point22', 'Point30', 'Point63']
Comparing with Iteration 2:
Found 18 identical clusters between iterations 2 and 5
Details of clusters appearing in both iterations 2 and 5:
Common Cluster 1 with 6 points:
Current centers: ['Point12', 'Point22', 'Point32', 'Point63']