100	100	1480
1	1	0.812
4	1	0.235
7	1	0.275
13	1	0.863
17	1	0.952
18	1	0.347
19	1	0.297
20	1	0.404
21	1	0.302
22	1	0.757
23	1	0.360
24	1	0.125
25	1	0.617
32	1	0.098
38	1	0.568
39	1	0.107
40	1	0.356
51	1	0.363
67	1	0.068
69	1	0.627
74	1	0.486
79	1	0.594
80	1	0.657
81	1	0.795
87	1	0.625
89	1	0.069
90	1	0.867
91	1	0.458
92	1	0.078
93	1	0.905
94	1	0.282
97	1	0.234
100	1	0.614
9	2	0.384
13	2	0.381
18	2	0.476
20	2	0.638
24	2	0.684
32	2	0.246
58	2	0.873
81	2	0.099
87	2	0.624
99	2	0.542
11	3	0.557
13	3	0.749
35	3	0.910
51	3	0.457
61	3	0.215
62	3	0.566
72	3	0.444
87	3	0.296
93	3	0.090
4	4	0.662
7	4	0.200
17	4	0.960
18	4	0.665
19	4	0.541
20	4	0.869
21	4	0.557
22	4	0.021
23	4	0.483
24	4	0.808
25	4	0.736
40	4	0.572
46	4	0.859
47	4	0.022
51	4	0.009
52	4	0.439
63	4	0.402
65	4	0.631
67	4	0.718
68	4	0.647
72	4	0.538
78	4	0.333
85	4	0.775
89	4	0.205
90	4	0.449
91	4	0.660
92	4	0.753
93	4	0.805
94	4	0.029
100	4	0.780
8	5	0.076
15	5	0.257
17	5	0.798
54	5	0.468
58	5	0.367
63	5	0.462
4	6	0.830
17	6	0.220
25	6	0.606
26	6	0.554
33	6	0.556
41	6	0.848
73	6	0.061
75	6	0.076
95	6	0.120
98	6	0.621
4	7	0.567
7	7	0.076
10	7	0.325
17	7	0.252
18	7	0.133
19	7	0.564
20	7	0.541
21	7	0.069
22	7	0.988
23	7	0.251
24	7	0.315
25	7	0.301
30	7	0.459
40	7	0.042
41	7	0.945
50	7	0.449
51	7	0.528
61	7	0.346
63	7	0.707
67	7	0.256
77	7	0.037
81	7	0.952
83	7	0.998
87	7	0.075
89	7	0.724
90	7	0.409
91	7	0.948
92	7	0.919
93	7	0.121
94	7	0.592
95	7	0.893
99	7	0.282
100	7	0.360
5	8	0.194
11	8	0.274
29	8	0.806
41	8	0.377
59	8	0.416
61	8	0.748
62	8	0.054
71	8	0.319
73	8	0.661
76	8	0.133
85	8	0.592
3	9	0.954
18	9	0.785
39	9	0.732
52	9	0.679
55	9	0.678
66	9	0.516
81	9	0.001
85	9	0.376
90	9	0.435
99	9	0.245
3	10	0.209
9	10	0.651
16	10	0.476
26	10	0.230
44	10	0.174
46	10	0.523
50	10	0.653
54	10	0.458
60	10	0.296
67	10	0.173
71	10	0.252
85	10	0.851
28	11	0.967
34	11	0.757
35	11	0.636
38	11	0.188
47	11	0.139
51	11	0.600
71	11	0.200
87	11	0.294
89	11	0.575
90	11	0.558
91	11	0.772
4	12	0.489
9	12	0.817
24	12	0.792
26	12	0.007
44	12	0.118
52	12	0.465
66	12	0.707
68	12	0.324
75	12	0.445
79	12	0.310
87	12	0.235
89	12	0.200
92	12	0.664
7	13	0.930
25	13	0.766
33	13	0.969
40	13	0.424
43	13	0.658
59	13	0.517
82	13	0.009
86	13	0.415
92	13	0.992
1	14	0.815
3	14	0.116
23	14	0.001
36	14	0.164
39	14	0.971
48	14	0.563
51	14	0.843
66	14	0.814
68	14	0.640
77	14	0.003
79	14	0.902
91	14	0.056
1	15	0.089
16	15	0.995
46	15	0.477
52	15	0.953
57	15	0.794
59	15	0.886
68	15	0.880
69	15	0.714
73	15	0.019
83	15	0.132
6	16	0.298
10	16	0.989
20	16	0.091
21	16	0.377
26	16	0.767
43	16	0.159
44	16	0.174
55	16	0.115
63	16	0.401
69	16	0.306
79	16	0.093
88	16	0.315
97	16	0.032
4	17	0.719
7	17	0.524
16	17	0.491
17	17	0.261
18	17	0.493
19	17	0.856
20	17	0.724
21	17	0.199
22	17	0.157
23	17	0.370
24	17	0.862
25	17	0.685
40	17	0.634
43	17	0.803
51	17	0.141
64	17	0.446
67	17	0.079
75	17	0.166
80	17	0.685
83	17	0.955
85	17	0.226
86	17	0.498
90	17	0.876
91	17	0.420
92	17	0.488
93	17	0.460
94	17	0.516
98	17	0.174
100	17	0.272
4	18	0.232
7	18	0.900
17	18	0.909
18	18	0.604
19	18	0.365
20	18	0.599
21	18	0.668
22	18	0.895
23	18	0.087
24	18	0.539
25	18	0.428
40	18	0.617
51	18	0.559
58	18	0.236
67	18	0.226
75	18	0.399
90	18	0.105
91	18	0.010
92	18	0.059
93	18	0.323
94	18	0.779
100	18	0.335
1	19	0.731
4	19	0.620
7	19	0.993
17	19	0.648
18	19	0.540
19	19	0.232
20	19	0.740
21	19	0.889
22	19	0.860
23	19	0.597
24	19	0.655
25	19	0.915
37	19	0.180
40	19	0.433
44	19	0.627
45	19	0.907
51	19	0.290
63	19	0.014
65	19	0.014
67	19	0.632
90	19	0.295
91	19	0.622
92	19	0.048
93	19	0.995
94	19	0.207
96	19	0.386
100	19	0.607
4	20	0.348
7	20	0.718
17	20	0.028
18	20	0.067
19	20	0.927
20	20	0.088
21	20	0.332
22	20	0.526
23	20	0.247
24	20	0.543
25	20	0.781
40	20	0.522
43	20	0.409
51	20	0.932
67	20	0.147
75	20	0.921
89	20	0.843
90	20	0.417
91	20	0.280
92	20	0.598
93	20	0.036
94	20	0.064
100	20	0.323
4	21	0.098
7	21	0.170
17	21	0.371
18	21	0.040
19	21	0.709
20	21	0.641
21	21	0.174
22	21	0.062
23	21	0.407
24	21	0.463
25	21	0.203
28	21	0.067
40	21	0.870
51	21	0.598
67	21	0.023
70	21	0.865
75	21	0.511
76	21	0.295
90	21	0.899
91	21	0.453
92	21	0.058
93	21	0.106
94	21	0.998
100	21	0.866
4	22	0.615
7	22	0.027
13	22	0.157
17	22	0.323
18	22	0.464
19	22	0.099
20	22	0.571
21	22	0.326
22	22	0.450
23	22	0.578
24	22	0.075
25	22	0.057
27	22	0.746
28	22	0.438
31	22	0.793
34	22	0.547
40	22	0.301
51	22	0.522
56	22	0.731
62	22	0.260
67	22	0.562
76	22	0.167
90	22	0.242
91	22	0.913
92	22	0.826
93	22	0.445
94	22	0.982
95	22	0.653
98	22	0.290
100	22	0.578
1	23	0.904
4	23	0.234
6	23	0.917
7	23	0.811
17	23	0.451
18	23	0.250
19	23	0.955
20	23	0.143
21	23	0.513
22	23	0.972
23	23	0.648
24	23	0.615
25	23	0.470
40	23	0.578
51	23	0.911
67	23	0.376
90	23	0.229
91	23	0.424
92	23	0.274
93	23	0.445
94	23	0.628
100	23	0.535
3	24	0.646
4	24	0.385
7	24	0.873
17	24	0.300
18	24	0.400
19	24	0.518
20	24	0.062
21	24	0.231
22	24	0.118
23	24	0.099
24	24	0.890
25	24	0.033
29	24	0.525
40	24	0.839
45	24	0.219
50	24	0.303
51	24	0.507
67	24	0.114
84	24	0.539
90	24	0.490
91	24	0.599
92	24	0.090
93	24	0.978
94	24	0.653
100	24	0.461
4	25	0.864
7	25	0.263
17	25	0.824
18	25	0.329
19	25	0.941
20	25	0.244
21	25	0.957
22	25	0.511
23	25	0.565
24	25	0.994
25	25	0.771
38	25	0.324
40	25	0.314
51	25	0.058
52	25	0.355
53	25	0.663
55	25	0.236
58	25	0.187
67	25	0.044
75	25	0.914
83	25	0.124
86	25	0.949
90	25	0.813
91	25	0.412
92	25	0.384
93	25	0.523
94	25	0.892
95	25	0.040
100	25	0.406
9	26	0.766
25	26	0.902
39	26	0.609
40	26	0.154
45	26	0.871
47	26	0.770
51	26	0.187
66	26	0.316
73	26	0.291
75	26	0.092
77	26	0.142
82	26	0.477
96	26	0.292
98	26	0.019
17	27	0.905
19	27	0.794
22	27	0.770
27	27	0.800
45	27	0.212
49	27	0.701
57	27	0.189
78	27	0.413
86	27	0.953
88	27	0.183
1	28	0.452
35	28	0.526
65	28	0.316
67	28	0.850
85	28	0.797
4	29	0.604
7	29	0.095
14	29	0.973
17	29	0.336
18	29	0.145
19	29	0.245
20	29	0.379
21	29	0.270
22	29	0.216
23	29	0.634
24	29	0.800
25	29	0.209
26	29	0.022
28	29	0.321
39	29	0.720
40	29	0.896
51	29	0.746
53	29	0.704
66	29	0.311
67	29	0.536
85	29	0.997
90	29	0.970
91	29	0.565
92	29	0.218
93	29	0.858
94	29	0.862
99	29	0.286
100	29	0.313
4	30	0.327
7	30	0.840
17	30	0.493
18	30	0.052
19	30	0.778
20	30	0.427
21	30	0.280
22	30	0.334
23	30	0.367
24	30	0.795
25	30	0.039
30	30	0.433
31	30	0.816
33	30	0.689
40	30	0.727
46	30	0.890
51	30	0.873
57	30	0.029
67	30	0.286
68	30	0.374
71	30	0.069
80	30	0.474
90	30	0.657
91	30	0.232
92	30	0.622
93	30	0.075
94	30	0.967
96	30	0.234
100	30	0.610
8	31	0.791
20	31	0.075
23	31	0.981
58	31	0.546
60	31	0.599
72	31	0.134
73	31	0.974
11	32	0.132
17	32	0.726
23	32	0.570
51	32	0.944
82	32	0.250
92	32	0.350
8	33	0.365
22	33	0.740
29	33	0.944
36	33	0.280
39	33	0.303
47	33	0.970
48	33	0.634
66	33	0.345
89	33	0.424
98	33	0.701
9	34	0.374
12	34	0.101
20	34	0.182
38	34	0.716
83	34	0.186
87	34	0.346
97	34	0.580
6	35	0.471
20	35	0.032
50	35	0.607
71	35	0.552
76	35	0.317
81	35	0.295
86	35	0.733
88	35	0.447
89	35	0.545
96	35	0.201
5	36	0.747
39	36	0.459
46	36	0.065
50	36	0.279
73	36	0.765
91	36	0.384
97	36	0.842
100	36	0.813
17	37	0.339
39	37	0.048
58	37	0.255
65	37	0.112
75	37	0.993
87	37	0.848
99	37	0.963
100	37	0.904
3	38	0.108
4	38	0.384
5	38	0.476
7	38	0.031
8	38	0.585
17	38	0.858
18	38	0.604
19	38	0.848
20	38	0.505
21	38	0.008
22	38	0.919
23	38	0.411
24	38	0.732
25	38	0.151
29	38	0.988
36	38	0.259
40	38	0.815
48	38	0.542
51	38	0.910
67	38	0.778
84	38	0.374
88	38	0.327
90	38	0.757
91	38	0.405
92	38	0.702
93	38	0.565
94	38	0.585
100	38	0.345
4	39	0.915
17	39	0.273
18	39	0.051
25	39	0.596
39	39	0.385
49	39	0.180
51	39	0.948
59	39	0.149
63	39	0.075
66	39	0.666
83	39	0.647
4	40	0.704
7	40	0.161
15	40	0.285
16	40	0.503
17	40	0.002
18	40	0.562
19	40	0.546
20	40	0.551
21	40	0.695
22	40	0.927
23	40	0.944
24	40	0.903
25	40	0.604
27	40	0.908
31	40	0.752
40	40	0.926
41	40	0.067
51	40	0.117
58	40	0.306
62	40	0.589
64	40	0.927
67	40	0.341
86	40	0.385
90	40	0.037
91	40	0.538
92	40	0.737
93	40	0.181
94	40	0.426
97	40	0.557
100	40	0.098
7	41	0.169
28	41	0.134
37	41	0.931
47	41	0.387
59	41	0.435
75	41	0.096
84	41	0.707
96	41	0.380
3	42	0.983
37	42	0.045
41	42	0.182
43	42	0.327
46	42	0.509
48	42	0.315
52	42	0.339
58	42	0.016
59	42	0.059
77	42	0.862
92	42	0.193
9	43	0.190
24	43	0.349
25	43	0.069
26	43	0.393
38	43	0.553
53	43	0.919
62	43	0.480
98	43	0.952
99	43	0.231
9	44	0.647
12	44	0.202
19	44	0.502
25	44	0.218
43	44	0.746
47	44	0.993
49	44	0.804
64	44	0.095
15	45	0.780
30	45	0.260
32	45	0.616
33	45	0.718
51	45	0.453
54	45	0.806
61	45	0.414
64	45	0.375
77	45	0.276
80	45	0.141
27	46	0.975
36	46	0.547
44	46	0.842
67	46	0.960
86	46	0.040
93	46	0.900
3	47	0.248
29	47	0.410
41	47	0.576
49	47	0.514
61	47	0.056
69	47	0.264
72	47	0.541
75	47	0.313
76	47	0.110
78	47	0.414
83	47	0.128
89	47	0.528
9	48	0.004
10	48	0.123
34	48	0.357
65	48	0.629
67	48	0.770
75	48	0.785
88	48	0.280
98	48	0.749
5	49	0.583
6	49	0.269
25	49	0.869
50	49	0.800
55	49	0.289
79	49	0.319
86	49	0.583
4	50	0.303
7	50	0.780
17	50	0.537
18	50	0.769
19	50	0.639
20	50	0.893
21	50	0.061
22	50	0.176
23	50	0.416
24	50	0.740
25	50	0.893
31	50	0.789
36	50	0.541
40	50	0.026
49	50	0.548
51	50	0.138
52	50	0.896
57	50	0.127
66	50	0.861
67	50	0.424
73	50	0.244
80	50	0.951
82	50	0.308
90	50	0.765
91	50	0.524
92	50	0.754
93	50	0.170
94	50	0.673
96	50	0.595
99	50	0.537
100	50	0.619
4	51	0.007
7	51	0.740
12	51	0.135
17	51	0.992
18	51	0.128
19	51	0.361
20	51	0.191
21	51	0.714
22	51	0.178
23	51	0.987
24	51	0.017
25	51	0.040
30	51	0.134
37	51	0.241
38	51	0.142
40	51	0.804
51	51	0.860
67	51	0.566
73	51	0.682
76	51	0.832
90	51	0.754
91	51	0.520
92	51	0.586
93	51	0.191
94	51	0.503
100	51	0.051
12	52	0.324
23	52	0.346
37	52	0.009
51	52	0.929
59	52	0.381
70	52	0.334
76	52	0.972
78	52	0.984
99	52	0.205
2	53	0.040
14	53	0.605
24	53	0.250
39	53	0.362
55	53	0.173
58	53	0.587
85	53	0.281
94	53	0.525
14	54	0.338
24	54	0.345
34	54	0.701
38	54	0.380
45	54	0.837
48	54	0.159
52	54	0.545
55	54	0.324
61	54	0.390
64	54	0.546
71	54	0.404
77	54	0.532
87	54	0.160
96	54	0.268
1	55	0.071
15	55	0.701
17	55	0.664
27	55	0.120
42	55	0.347
53	55	0.660
64	55	0.112
71	55	0.750
100	55	0.540
4	56	0.901
6	56	0.763
18	56	0.628
47	56	0.326
69	56	0.916
85	56	0.710
87	56	0.158
3	57	0.606
10	57	0.736
25	57	0.661
36	57	0.788
54	57	0.825
64	57	0.904
65	57	0.061
87	57	0.509
89	57	0.185
30	58	0.419
37	58	0.672
55	58	0.801
69	58	0.615
82	58	0.967
83	58	0.081
85	58	0.665
88	58	0.932
90	58	0.034
34	59	0.109
47	59	0.137
52	59	0.749
72	59	0.857
6	60	0.772
18	60	0.029
31	60	0.501
49	60	0.208
56	60	0.774
79	60	0.887
90	60	0.710
94	60	0.331
11	61	0.700
13	61	0.058
27	61	0.519
34	61	0.007
35	61	0.260
47	61	0.385
61	61	0.474
64	61	0.633
74	61	0.680
96	61	0.622
22	62	0.758
54	62	0.190
57	62	0.134
69	62	0.093
73	62	0.138
88	62	0.400
4	63	0.214
38	63	0.397
39	63	0.288
40	63	0.540
49	63	0.785
54	63	0.026
55	63	0.300
58	63	0.963
60	63	0.152
61	63	0.825
81	63	0.048
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68	64	0.767
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88	64	0.379
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100	64	0.818
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39	65	0.817
44	65	0.510
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60	65	0.436
62	65	0.199
65	65	0.674
76	65	0.706
80	65	0.883
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90	65	0.169
12	66	0.951
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52	66	0.125
73	66	0.630
81	66	0.443
86	66	0.565
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96	66	0.805
99	66	0.434
4	67	0.056
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14	67	0.928
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40	67	0.934
42	67	0.236
51	67	0.246
54	67	0.057
67	67	0.511
74	67	0.704
84	67	0.947
90	67	0.740
91	67	0.254
92	67	0.846
93	67	0.538
94	67	0.910
100	67	0.351
14	68	0.898
21	68	0.732
24	68	0.329
39	68	0.807
44	68	0.166
46	68	0.621
49	68	0.422
54	68	0.143
61	68	0.304
62	68	0.239
66	68	0.762
76	68	0.039
93	68	0.967
100	68	0.043
17	69	0.536
34	69	0.597
54	69	0.171
57	69	0.935
71	69	0.487
77	69	0.522
93	69	0.434
96	69	0.104
4	70	0.935
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9	70	0.283
17	70	0.588
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19	70	0.367
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24	70	0.893
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40	70	0.578
51	70	0.316
57	70	0.273
67	70	0.994
78	70	0.058
90	70	0.984
91	70	0.965
92	70	0.666
93	70	0.726
94	70	0.334
100	70	0.523
4	71	0.273
6	71	0.021
7	71	0.718
8	71	0.077
10	71	0.157
17	71	0.778
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20	71	0.204
21	71	0.624
22	71	0.725
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25	71	0.202
33	71	0.559
40	71	0.469
51	71	0.378
67	71	0.340
80	71	0.437
87	71	0.161
89	71	0.082
90	71	0.064
91	71	0.761
92	71	0.403
93	71	0.674
94	71	0.551
100	71	0.051
21	72	0.163
29	72	0.371
33	72	0.533
37	72	0.905
39	72	0.790
58	72	0.850
69	72	0.628
76	72	0.616
81	72	0.790
92	72	0.551
4	73	0.307
7	73	0.965
9	73	0.639
17	73	0.931
18	73	0.378
19	73	0.618
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22	73	0.958
23	73	0.076
24	73	0.888
25	73	0.562
40	73	0.194
48	73	0.153
51	73	0.221
56	73	0.901
67	73	0.706
90	73	0.597
91	73	0.586
92	73	0.968
93	73	0.582
94	73	0.100
99	73	0.142
100	73	0.167
4	74	0.102
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17	74	0.672
18	74	0.640
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21	74	0.390
22	74	0.800
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24	74	0.755
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31	74	0.555
38	74	0.577
39	74	0.283
40	74	0.640
46	74	0.734
51	74	0.885
67	74	0.210
83	74	0.659
90	74	0.480
91	74	0.113
92	74	0.132
93	74	0.064
94	74	0.079
100	74	0.627
12	75	0.532
36	75	0.870
72	75	0.198
88	75	0.593
91	75	0.295
96	75	0.729
5	76	0.261
29	76	0.227
31	76	0.631
41	76	0.186
44	76	0.714
48	76	0.137
68	76	0.168
95	76	0.505
96	76	0.649
98	76	0.757
6	77	0.880
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30	77	0.507
34	77	0.659
48	77	0.710
50	77	0.954
54	77	0.626
65	77	0.477
76	77	0.669
84	77	0.382
97	77	0.840
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54	78	0.030
59	78	0.722
73	78	0.857
12	79	0.248
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26	79	0.204
27	79	0.822
30	79	0.324
51	79	0.673
64	79	0.905
66	79	0.876
71	79	0.385
81	79	0.914
91	79	0.366
19	80	0.120
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21	80	0.921
42	80	0.028
57	80	0.943
73	80	0.900
75	80	0.466
80	80	0.835
83	80	0.027
86	80	0.355
100	80	0.146
7	81	0.477
22	81	0.466
36	81	0.788
59	81	0.095
69	81	0.192
71	81	0.061
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91	81	0.349
96	81	0.475
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33	82	0.876
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60	82	0.013
74	82	0.461
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93	82	0.785
6	83	0.324
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16	83	0.388
18	83	0.543
26	83	0.662
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41	83	0.291
48	83	0.465
59	83	0.667
60	83	0.229
99	83	0.376
14	84	0.851
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40	84	0.937
54	84	0.472
55	84	0.776
57	84	0.638
58	84	0.008
61	84	0.822
62	84	0.780
63	84	0.591
68	84	0.520
84	84	0.693
12	85	0.437
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30	85	0.685
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52	85	0.453
58	85	0.634
62	85	0.617
66	85	0.871
71	85	0.214
81	85	0.533
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100	85	0.233
29	86	0.446
37	86	0.572
16	87	0.759
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65	87	0.306
74	87	0.364
83	87	0.985
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40	88	0.395
49	88	0.073
56	88	0.138
71	88	0.544
94	88	0.890
1	89	0.241
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22	89	0.423
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30	89	0.443
33	89	0.393
51	89	0.372
55	89	0.553
71	89	0.411
77	89	0.568
81	89	0.804
87	89	0.635
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32	90	0.267
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67	90	0.318
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90	90	0.510
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49	91	0.595
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58	91	0.541
67	91	0.273
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86	91	0.880
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92	91	0.134
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40	92	0.826
41	92	0.462
51	92	0.962
67	92	0.314
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78	92	0.791
90	92	0.797
91	92	0.285
92	92	0.015
93	92	0.094
94	92	0.329
100	92	0.306
4	93	0.018
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33	93	0.458
35	93	0.051
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39	93	0.068
40	93	0.905
51	93	0.386
60	93	0.264
62	93	0.144
67	93	0.603
69	93	0.777
84	93	0.602
90	93	0.560
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92	93	0.285
93	93	0.663
94	93	0.602
100	93	0.656
4	94	0.310
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10	94	0.832
11	94	0.486
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35	94	0.732
40	94	0.866
51	94	0.119
62	94	0.716
67	94	0.955
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91	94	0.876
92	94	0.865
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94	94	0.631
100	94	0.865
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34	95	0.580
49	95	0.862
55	95	0.555
71	95	0.901
97	95	0.205
5	96	0.085
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22	96	0.944
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32	96	0.040
46	96	0.230
48	96	0.113
80	96	0.325
82	96	0.520
95	96	0.894
7	97	0.653
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37	97	0.502
53	97	0.854
70	97	0.765
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100	97	0.170
1	98	0.732
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50	98	0.444
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80	99	0.368
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96	99	0.599
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3	100	0.817
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16	100	0.649
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19	100	0.685
20	100	0.555
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22	100	0.288
23	100	0.377
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25	100	0.075
27	100	0.947
40	100	0.461
51	100	0.370
67	100	0.825
81	100	0.751
82	100	0.567
87	100	0.265
90	100	0.538
91	100	0.818
92	100	0.460
93	100	0.014
94	100	0.005
100	100	0.166
