**********************************************************************
*                       Pass  1
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.872984
 2.) Serial       Test PASSED, Chi-squared Probability = 0.685024
 3.) Gap          Test PASSED, Chi-squared Probability = 0.848849
 4.) Poker        Test PASSED, Chi-squared Probability = 0.182914
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.204642
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.906317
 7.) Runs         Test PASSED, Chi-squared Probability = 0.178576
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.903957
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.343234
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.470570

Seed time: 0.010506 seconds;  Test time: 24.733619 sec; 2.35878e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.929946
 2.) Serial       Test PASSED, Chi-squared Probability = 0.420488
 3.) Gap          Test PASSED, Chi-squared Probability = 0.767509
 4.) Poker        Test PASSED, Chi-squared Probability = 0.627851
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.458699
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.079469
 7.) Runs         Test PASSED, Chi-squared Probability = 0.438950
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.930760
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.155609
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.313609

Seed time: 0.010712 seconds;  Test time: 24.742950 sec; 2.35967e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.027929
 2.) Serial       Test PASSED, Chi-squared Probability = 0.374291
 3.) Gap          Test PASSED, Chi-squared Probability = 0.274553
 4.) Poker        Test PASSED, Chi-squared Probability = 0.713677
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.466486
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.064575
 7.) Runs         Test PASSED, Chi-squared Probability = 0.985386
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.406236
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.809654
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.151994

Seed time: 0.018438 seconds;  Test time: 24.765988 sec; 2.36187e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.516189
 2.) Serial       Test PASSED, Chi-squared Probability = 0.716251
 3.) Gap          Test PASSED, Chi-squared Probability = 0.334192
 4.) Poker        Test PASSED, Chi-squared Probability = 0.821892
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.960983
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.989337
 7.) Runs         Test PASSED, Chi-squared Probability = 0.551238
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.848113
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.623882
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.727865

Seed time: 0.010391 seconds;  Test time: 24.739110 sec; 2.35931e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.960599
 2.) Serial       Test PASSED, Chi-squared Probability = 0.566742
 3.) Gap          Test PASSED, Chi-squared Probability = 0.114966
 4.) Poker        Test PASSED, Chi-squared Probability = 0.828031
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.699966
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.578551
 7.) Runs         Test PASSED, Chi-squared Probability = 0.287252
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.848716
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.490731
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.354197

Seed time: 0.010278 seconds;  Test time: 24.747160 sec; 2.36007e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.289912
 2.) Serial       Test PASSED, Chi-squared Probability = 0.637431
 3.) Gap          Test PASSED, Chi-squared Probability = 0.355220
 4.) Poker        Test PASSED, Chi-squared Probability = 0.792368
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.560010
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.715793
 7.) Runs         Test PASSED, Chi-squared Probability = 0.258318
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.025503
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.479731
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.548079

Seed time: 0.016209 seconds;  Test time: 24.773121 sec; 2.36255e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.772973
 2.) Serial       Test PASSED, Chi-squared Probability = 0.274006
 3.) Gap          Test PASSED, Chi-squared Probability = 0.631027
 4.) Poker        Test PASSED, Chi-squared Probability = 0.562474
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.043532
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.968716
 7.) Runs         Test PASSED, Chi-squared Probability = 0.154201
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.828578
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.695304
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.817622

Seed time: 0.011177 seconds;  Test time: 24.797765 sec; 2.3649e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass  2
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.916460
 2.) Serial       Test PASSED, Chi-squared Probability = 0.759643
 3.) Gap          Test PASSED, Chi-squared Probability = 0.891668
 4.) Poker        Test PASSED, Chi-squared Probability = 0.023193
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.184616
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.869029
 7.) Runs         Test PASSED, Chi-squared Probability = 0.849168
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.364133
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.041333
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.032311

Seed time: 0.009643 seconds;  Test time: 24.722220 sec; 2.35769e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.876964
 2.) Serial       Test PASSED, Chi-squared Probability = 0.416850
 3.) Gap          Test PASSED, Chi-squared Probability = 0.633877
 4.) Poker        Test PASSED, Chi-squared Probability = 0.700784
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.942003
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.268350
 7.) Runs         Test PASSED, Chi-squared Probability = 0.714247
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.677539
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.203154
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.386773

Seed time: 0.011149 seconds;  Test time: 24.735881 sec; 2.359e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.537711
 2.) Serial       Test PASSED, Chi-squared Probability = 0.868719
 3.) Gap          Test PASSED, Chi-squared Probability = 0.619267
 4.) Poker        Test PASSED, Chi-squared Probability = 0.466625
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.630328
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.142711
 7.) Runs         Test PASSED, Chi-squared Probability = 0.557602
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.052431
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.956032
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.045189

Seed time: 0.010511 seconds;  Test time: 24.773577 sec; 2.36259e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.857455
 2.) Serial       Test PASSED, Chi-squared Probability = 0.955350
 3.) Gap          Test PASSED, Chi-squared Probability = 0.852072
 4.) Poker        Test PASSED, Chi-squared Probability = 0.840552
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.176010
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.067419
 7.) Runs         Test PASSED, Chi-squared Probability = 0.414280
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.406463
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.855299
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.246212

Seed time: 0.010787 seconds;  Test time: 24.724259 sec; 2.35789e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.981010
 2.) Serial       Test PASSED, Chi-squared Probability = 0.506635
 3.) Gap          Test PASSED, Chi-squared Probability = 0.639615
 4.) Poker        Test PASSED, Chi-squared Probability = 0.498352
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.155163
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.496746
 7.) Runs         Test PASSED, Chi-squared Probability = 0.533626
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.531450
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.053781
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.603391

Seed time: 0.012111 seconds;  Test time: 24.736459 sec; 2.35905e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.830055
 2.) Serial       Test PASSED, Chi-squared Probability = 0.692906
 3.) Gap          Test PASSED, Chi-squared Probability = 0.852526
 4.) Poker        Test PASSED, Chi-squared Probability = 0.699047
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.965033
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.476967
 7.) Runs         Test PASSED, Chi-squared Probability = 0.892466
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.953351
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.852796
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.281136

Seed time: 0.017924 seconds;  Test time: 24.808034 sec; 2.36588e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.138960
 2.) Serial       Test PASSED, Chi-squared Probability = 0.283845
 3.) Gap          Test PASSED, Chi-squared Probability = 0.814041
 4.) Poker        Test PASSED, Chi-squared Probability = 0.118801
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.361877
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.100844
 7.) Runs         Test PASSED, Chi-squared Probability = 0.495157
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.431969
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.991956
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.668700

Seed time: 0.011387 seconds;  Test time: 24.784927 sec; 2.36367e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass  3
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.095919
 2.) Serial       Test PASSED, Chi-squared Probability = 0.680093
 3.) Gap          Test PASSED, Chi-squared Probability = 0.398968
 4.) Poker        Test PASSED, Chi-squared Probability = 0.648453
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.454999
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.772640
 7.) Runs         Test PASSED, Chi-squared Probability = 0.397933
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.206069
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.360221
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.264045

Seed time: 0.010384 seconds;  Test time: 24.751632 sec; 2.3605e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.715633
 2.) Serial       Test PASSED, Chi-squared Probability = 0.201740
 3.) Gap          Test PASSED, Chi-squared Probability = 0.537776
 4.) Poker        Test PASSED, Chi-squared Probability = 0.221117
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.649782
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.575030
 7.) Runs         Test PASSED, Chi-squared Probability = 0.165905
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.676189
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.677613
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.627327

Seed time: 0.018677 seconds;  Test time: 24.749402 sec; 2.36029e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.514158
 2.) Serial       Test PASSED, Chi-squared Probability = 0.750065
 3.) Gap          Test PASSED, Chi-squared Probability = 0.265936
 4.) Poker        Test PASSED, Chi-squared Probability = 0.378086
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.174035
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.093111
 7.) Runs         Test PASSED, Chi-squared Probability = 0.907850
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.545786
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.445948
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.124811

Seed time: 0.011139 seconds;  Test time: 24.779219 sec; 2.36313e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.799541
 2.) Serial       Test PASSED, Chi-squared Probability = 0.250997
 3.) Gap          Test PASSED, Chi-squared Probability = 0.509851
 4.) Poker        Test PASSED, Chi-squared Probability = 0.940694
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.654283
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.789294
 7.) Runs         Test PASSED, Chi-squared Probability = 0.284732
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.077616
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.414487
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.466669

Seed time: 0.010640 seconds;  Test time: 24.736206 sec; 2.35903e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.437216
 2.) Serial       Test PASSED, Chi-squared Probability = 0.011323
 3.) Gap          Test PASSED, Chi-squared Probability = 0.027050
 4.) Poker        Test PASSED, Chi-squared Probability = 0.287175
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.180951
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.531757
 7.) Runs         Test PASSED, Chi-squared Probability = 0.792334
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.351032
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.581513
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.044638

Seed time: 0.010192 seconds;  Test time: 24.737300 sec; 2.35913e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.696797
 2.) Serial       Test PASSED, Chi-squared Probability = 0.088033
 3.) Gap          Test PASSED, Chi-squared Probability = 0.892320
 4.) Poker        Test PASSED, Chi-squared Probability = 0.217562
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.921558
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.855159
 7.) Runs         Test PASSED, Chi-squared Probability = 0.667306
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.049665
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.114822
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.651434

Seed time: 0.010130 seconds;  Test time: 24.765253 sec; 2.3618e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.259675
 2.) Serial       Test PASSED, Chi-squared Probability = 0.344074
 3.) Gap          Test PASSED, Chi-squared Probability = 0.631717
 4.) Poker        Test PASSED, Chi-squared Probability = 0.541599
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.916392
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.526383
 7.) Runs         Test PASSED, Chi-squared Probability = 0.806385
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.039051
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.473997
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.384257

Seed time: 0.012033 seconds;  Test time: 24.779460 sec; 2.36315e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass  4
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.931585
 2.) Serial       Test PASSED, Chi-squared Probability = 0.800957
 3.) Gap          Test PASSED, Chi-squared Probability = 0.178433
 4.) Poker        Test PASSED, Chi-squared Probability = 0.537613
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.764053
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.635480
 7.) Runs         Test PASSED, Chi-squared Probability = 0.169409
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.064396
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.630274
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.529237

Seed time: 0.009853 seconds;  Test time: 24.737519 sec; 2.35915e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.481978
 2.) Serial       Test PASSED, Chi-squared Probability = 0.878778
 3.) Gap          Test PASSED, Chi-squared Probability = 0.674115
 4.) Poker        Test PASSED, Chi-squared Probability = 0.508311
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.453002
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.371087
 7.) Runs         Test PASSED, Chi-squared Probability = 0.292268
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.966924
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.861481
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.170312

Seed time: 0.020467 seconds;  Test time: 24.728899 sec; 2.35833e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.917677
 2.) Serial       Test PASSED, Chi-squared Probability = 0.069475
 3.) Gap          Test PASSED, Chi-squared Probability = 0.268754
 4.) Poker        Test PASSED, Chi-squared Probability = 0.407539
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.553364
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.432356
 7.) Runs         Test PASSED, Chi-squared Probability = 0.134822
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.779461
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.048796
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.585282

Seed time: 0.011981 seconds;  Test time: 24.775259 sec; 2.36275e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.097257
 2.) Serial       Test PASSED, Chi-squared Probability = 0.873026
 3.) Gap          Test PASSED, Chi-squared Probability = 0.247474
 4.) Poker        Test PASSED, Chi-squared Probability = 0.641165
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.806025
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.983296
 7.) Runs         Test PASSED, Chi-squared Probability = 0.720336
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.816579
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.606566
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.097699

Seed time: 0.010053 seconds;  Test time: 24.736756 sec; 2.35908e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.331287
 2.) Serial       Test PASSED, Chi-squared Probability = 0.434499
 3.) Gap          Test PASSED, Chi-squared Probability = 0.103841
 4.) Poker        Test PASSED, Chi-squared Probability = 0.755402
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.041097
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.626832
 7.) Runs         Test PASSED, Chi-squared Probability = 0.917155
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.522315
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.510876
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.155641

Seed time: 0.021606 seconds;  Test time: 24.736011 sec; 2.35901e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.427825
 2.) Serial       Test PASSED, Chi-squared Probability = 0.499265
 3.) Gap          Test PASSED, Chi-squared Probability = 0.674606
 4.) Poker        Test PASSED, Chi-squared Probability = 0.165258
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.994101
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.563519
 7.) Runs         Test PASSED, Chi-squared Probability = 0.467062
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.461916
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.603127
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.466090

Seed time: 0.007377 seconds;  Test time: 24.904690 sec; 2.3751e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.519223
 2.) Serial       Test PASSED, Chi-squared Probability = 0.587770
 3.) Gap          Test PASSED, Chi-squared Probability = 0.940378
 4.) Poker        Test PASSED, Chi-squared Probability = 0.238228
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.591340
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.938164
 7.) Runs         Test PASSED, Chi-squared Probability = 0.605556
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.851776
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.166177
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.833740

Seed time: 0.008622 seconds;  Test time: 24.779388 sec; 2.36315e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass  5
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.724262
 2.) Serial       Test PASSED, Chi-squared Probability = 0.496648
 3.) Gap          Test PASSED, Chi-squared Probability = 0.742850
 4.) Poker        Test PASSED, Chi-squared Probability = 0.164825
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.026522
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.365247
 7.) Runs         Test PASSED, Chi-squared Probability = 0.396918
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.540928
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.573256
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.645926

Seed time: 0.011964 seconds;  Test time: 24.734989 sec; 2.35891e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.350632
 2.) Serial       Test PASSED, Chi-squared Probability = 0.863935
 3.) Gap          Test PASSED, Chi-squared Probability = 0.256104
 4.) Poker        Test PASSED, Chi-squared Probability = 0.712905
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.896376
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.446769
 7.) Runs         Test PASSED, Chi-squared Probability = 0.824953
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.652955
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.477326
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.311817

Seed time: 0.008464 seconds;  Test time: 24.736502 sec; 2.35906e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.155481
 2.) Serial       Test PASSED, Chi-squared Probability = 0.105483
 3.) Gap          Test PASSED, Chi-squared Probability = 0.152239
 4.) Poker        Test PASSED, Chi-squared Probability = 0.279360
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.136668
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.721232
 7.) Runs         Test PASSED, Chi-squared Probability = 0.439458
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.496671
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.049121
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.693778

Seed time: 0.010838 seconds;  Test time: 24.768883 sec; 2.36214e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.597163
 2.) Serial       Test PASSED, Chi-squared Probability = 0.110521
 3.) Gap          Test PASSED, Chi-squared Probability = 0.059015
 4.) Poker        Test PASSED, Chi-squared Probability = 0.974669
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.831936
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.796270
 7.) Runs         Test PASSED, Chi-squared Probability = 0.254219
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.967474
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.125420
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.057045

Seed time: 0.011443 seconds;  Test time: 24.731543 sec; 2.35858e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.440800
 2.) Serial       Test PASSED, Chi-squared Probability = 0.569865
 3.) Gap          Test PASSED, Chi-squared Probability = 0.112555
 4.) Poker        Test PASSED, Chi-squared Probability = 0.650752
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.715714
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.773796
 7.) Runs         Test PASSED, Chi-squared Probability = 0.620846
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.769292
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.848225
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.743504

Seed time: 0.017872 seconds;  Test time: 24.742903 sec; 2.35967e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.417026
 2.) Serial       Test PASSED, Chi-squared Probability = 0.418668
 3.) Gap          Test PASSED, Chi-squared Probability = 0.782997
 4.) Poker        Test PASSED, Chi-squared Probability = 0.119854
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.492627
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.961301
 7.) Runs         Test PASSED, Chi-squared Probability = 0.890366
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.514076
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.065168
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.786348

Seed time: 0.009460 seconds;  Test time: 24.801563 sec; 2.36526e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.841820
 2.) Serial       Test PASSED, Chi-squared Probability = 0.337563
 3.) Gap          Test PASSED, Chi-squared Probability = 0.562974
 4.) Poker        Test PASSED, Chi-squared Probability = 0.103600
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.009350
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.600632
 7.) Runs         Test PASSED, Chi-squared Probability = 0.336873
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.417669
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.748885
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.360125

Seed time: 0.006799 seconds;  Test time: 24.780156 sec; 2.36322e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass  6
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.878534
 2.) Serial       Test PASSED, Chi-squared Probability = 0.658919
 3.) Gap          Test PASSED, Chi-squared Probability = 0.508450
 4.) Poker        Test PASSED, Chi-squared Probability = 0.201288
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.827783
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.903543
 7.) Runs         Test PASSED, Chi-squared Probability = 0.535146
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.135410
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.765319
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.966796

Seed time: 0.011223 seconds;  Test time: 24.732910 sec; 2.35871e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.386095
 2.) Serial       Test PASSED, Chi-squared Probability = 0.224803
 3.) Gap          Test PASSED, Chi-squared Probability = 0.797133
 4.) Poker        Test PASSED, Chi-squared Probability = 0.933321
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.204995
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.323728
 7.) Runs         Test PASSED, Chi-squared Probability = 0.049725
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.591771
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.208845
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.083465

Seed time: 0.010441 seconds;  Test time: 24.726172 sec; 2.35807e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.022724
 2.) Serial       Test PASSED, Chi-squared Probability = 0.020274
 3.) Gap          Test PASSED, Chi-squared Probability = 0.107961
 4.) Poker        Test PASSED, Chi-squared Probability = 0.072459
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.578569
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.347374
 7.) Runs         Test PASSED, Chi-squared Probability = 0.606863
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.723976
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.596103
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.076346

Seed time: 0.012197 seconds;  Test time: 24.777485 sec; 2.36297e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.930363
 2.) Serial       Test PASSED, Chi-squared Probability = 0.075365
 3.) Gap          Test PASSED, Chi-squared Probability = 0.819749
 4.) Poker        Test PASSED, Chi-squared Probability = 0.426259
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.225824
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.990794
 7.) Runs         Test PASSED, Chi-squared Probability = 0.013072
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.458166
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.072435
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.251358

Seed time: 0.009857 seconds;  Test time: 24.744682 sec; 2.35984e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.692421
 2.) Serial       Test PASSED, Chi-squared Probability = 0.369465
 3.) Gap          Test PASSED, Chi-squared Probability = 0.038686
 4.) Poker        Test PASSED, Chi-squared Probability = 0.600924
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.782568
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.675755
 7.) Runs         Test PASSED, Chi-squared Probability = 0.799671
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.530244
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.241298
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.864231

Seed time: 0.008794 seconds;  Test time: 24.741266 sec; 2.35951e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.053877
 2.) Serial       Test PASSED, Chi-squared Probability = 0.174880
 3.) Gap          Test PASSED, Chi-squared Probability = 0.974747
 4.) Poker        Test PASSED, Chi-squared Probability = 0.342441
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.881103
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.049281
 7.) Runs         Test PASSED, Chi-squared Probability = 0.348880
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.203758
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.207974
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.242238

Seed time: 0.011033 seconds;  Test time: 24.784915 sec; 2.36367e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.618007
 2.) Serial       Test PASSED, Chi-squared Probability = 0.794268
 3.) Gap          Test PASSED, Chi-squared Probability = 0.083252
 4.) Poker        Test PASSED, Chi-squared Probability = 0.661234
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.200184
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.104835
 7.) Runs         Test PASSED, Chi-squared Probability = 0.812021
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.607264
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.468686
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.538472

Seed time: 0.010393 seconds;  Test time: 24.786222 sec; 2.3638e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass  7
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.659310
 2.) Serial       Test PASSED, Chi-squared Probability = 0.216431
 3.) Gap          Test PASSED, Chi-squared Probability = 0.333828
 4.) Poker        Test PASSED, Chi-squared Probability = 0.328243
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.757028
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.850521
 7.) Runs         Test PASSED, Chi-squared Probability = 0.398545
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.679998
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.110892
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.174595

Seed time: 0.021169 seconds;  Test time: 24.734223 sec; 2.35884e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.883367
 2.) Serial       Test PASSED, Chi-squared Probability = 0.700761
 3.) Gap          Test PASSED, Chi-squared Probability = 0.636069
 4.) Poker        Test FAILED, Chi-squared Probability = 0.999159
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.464233
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.587106
 7.) Runs         Test PASSED, Chi-squared Probability = 0.283134
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.711970
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.193087
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.039055

Seed time: 0.010144 seconds;  Test time: 24.738350 sec; 2.35923e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.229140
 2.) Serial       Test PASSED, Chi-squared Probability = 0.342173
 3.) Gap          Test PASSED, Chi-squared Probability = 0.255663
 4.) Poker        Test PASSED, Chi-squared Probability = 0.227265
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.427021
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.859712
 7.) Runs         Test PASSED, Chi-squared Probability = 0.765220
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.691792
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.271712
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.478454

Seed time: 0.012027 seconds;  Test time: 24.794317 sec; 2.36457e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.637471
 2.) Serial       Test PASSED, Chi-squared Probability = 0.485495
 3.) Gap          Test PASSED, Chi-squared Probability = 0.461379
 4.) Poker        Test PASSED, Chi-squared Probability = 0.980212
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.153401
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.525638
 7.) Runs         Test PASSED, Chi-squared Probability = 0.631140
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.014334
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.316182
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.180301

Seed time: 0.011299 seconds;  Test time: 24.734712 sec; 2.35889e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.668348
 2.) Serial       Test PASSED, Chi-squared Probability = 0.237701
 3.) Gap          Test PASSED, Chi-squared Probability = 0.696566
 4.) Poker        Test PASSED, Chi-squared Probability = 0.112791
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.054478
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.588775
 7.) Runs         Test PASSED, Chi-squared Probability = 0.618452
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.442761
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.931974
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.884441

Seed time: 0.009430 seconds;  Test time: 24.730339 sec; 2.35847e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.160406
 2.) Serial       Test PASSED, Chi-squared Probability = 0.650892
 3.) Gap          Test PASSED, Chi-squared Probability = 0.757469
 4.) Poker        Test PASSED, Chi-squared Probability = 0.406392
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.484376
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.911519
 7.) Runs         Test PASSED, Chi-squared Probability = 0.946520
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.428065
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.951210
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.569042

Seed time: 0.012027 seconds;  Test time: 24.781810 sec; 2.36338e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.952980
 2.) Serial       Test PASSED, Chi-squared Probability = 0.855436
 3.) Gap          Test PASSED, Chi-squared Probability = 0.971473
 4.) Poker        Test PASSED, Chi-squared Probability = 0.524997
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.395358
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.481860
 7.) Runs         Test PASSED, Chi-squared Probability = 0.686366
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.299381
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.500109
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.161809

Seed time: 0.010557 seconds;  Test time: 24.896292 sec; 2.3743e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass  8
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.378683
 2.) Serial       Test PASSED, Chi-squared Probability = 0.882646
 3.) Gap          Test PASSED, Chi-squared Probability = 0.381332
 4.) Poker        Test PASSED, Chi-squared Probability = 0.464367
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.127090
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.464785
 7.) Runs         Test PASSED, Chi-squared Probability = 0.786188
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.596111
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.753563
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.018928

Seed time: 0.007097 seconds;  Test time: 24.842333 sec; 2.36915e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.504132
 2.) Serial       Test PASSED, Chi-squared Probability = 0.803557
 3.) Gap          Test PASSED, Chi-squared Probability = 0.320609
 4.) Poker        Test PASSED, Chi-squared Probability = 0.658778
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.262642
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.887688
 7.) Runs         Test PASSED, Chi-squared Probability = 0.074229
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.990267
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.813326
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.843162

Seed time: 0.009051 seconds;  Test time: 24.726622 sec; 2.35811e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.247838
 2.) Serial       Test PASSED, Chi-squared Probability = 0.615902
 3.) Gap          Test PASSED, Chi-squared Probability = 0.573788
 4.) Poker        Test PASSED, Chi-squared Probability = 0.060822
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.466555
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.199753
 7.) Runs         Test PASSED, Chi-squared Probability = 0.723351
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.484025
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.142608
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.188932

Seed time: 0.010632 seconds;  Test time: 24.788798 sec; 2.36404e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.319493
 2.) Serial       Test PASSED, Chi-squared Probability = 0.817488
 3.) Gap          Test PASSED, Chi-squared Probability = 0.909501
 4.) Poker        Test PASSED, Chi-squared Probability = 0.873646
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.293341
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.379740
 7.) Runs         Test PASSED, Chi-squared Probability = 0.411903
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.661207
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.303459
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.180463

Seed time: 0.012596 seconds;  Test time: 24.739620 sec; 2.35935e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.430124
 2.) Serial       Test PASSED, Chi-squared Probability = 0.004089
 3.) Gap          Test PASSED, Chi-squared Probability = 0.524293
 4.) Poker        Test PASSED, Chi-squared Probability = 0.174346
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.974732
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.482275
 7.) Runs         Test PASSED, Chi-squared Probability = 0.971240
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.111127
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.494009
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.126869

Seed time: 0.007781 seconds;  Test time: 24.739584 sec; 2.35935e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.551268
 2.) Serial       Test PASSED, Chi-squared Probability = 0.506841
 3.) Gap          Test PASSED, Chi-squared Probability = 0.894648
 4.) Poker        Test PASSED, Chi-squared Probability = 0.697245
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.847784
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.654237
 7.) Runs         Test PASSED, Chi-squared Probability = 0.025667
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.048205
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.490296
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.721157

Seed time: 0.007042 seconds;  Test time: 24.839975 sec; 2.36892e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.760651
 2.) Serial       Test PASSED, Chi-squared Probability = 0.077536
 3.) Gap          Test PASSED, Chi-squared Probability = 0.836889
 4.) Poker        Test PASSED, Chi-squared Probability = 0.721952
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.138297
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.733295
 7.) Runs         Test PASSED, Chi-squared Probability = 0.886583
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.863539
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.365006
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.058827

Seed time: 0.011147 seconds;  Test time: 24.787447 sec; 2.36392e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass  9
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.786954
 2.) Serial       Test PASSED, Chi-squared Probability = 0.156729
 3.) Gap          Test PASSED, Chi-squared Probability = 0.424609
 4.) Poker        Test PASSED, Chi-squared Probability = 0.333129
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.303491
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.394346
 7.) Runs         Test PASSED, Chi-squared Probability = 0.614475
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.723448
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.659007
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.387331

Seed time: 0.010838 seconds;  Test time: 24.741096 sec; 2.35949e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.981674
 2.) Serial       Test PASSED, Chi-squared Probability = 0.992160
 3.) Gap          Test PASSED, Chi-squared Probability = 0.614508
 4.) Poker        Test PASSED, Chi-squared Probability = 0.827667
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.665063
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.450148
 7.) Runs         Test PASSED, Chi-squared Probability = 0.845685
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.356656
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.129881
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.179637

Seed time: 0.010343 seconds;  Test time: 24.734023 sec; 2.35882e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.778055
 2.) Serial       Test PASSED, Chi-squared Probability = 0.969661
 3.) Gap          Test PASSED, Chi-squared Probability = 0.247250
 4.) Poker        Test PASSED, Chi-squared Probability = 0.761237
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.887767
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.252299
 7.) Runs         Test PASSED, Chi-squared Probability = 0.933889
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.982657
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.145610
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.814993

Seed time: 0.010347 seconds;  Test time: 24.783002 sec; 2.36349e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.889009
 2.) Serial       Test PASSED, Chi-squared Probability = 0.952686
 3.) Gap          Test PASSED, Chi-squared Probability = 0.785527
 4.) Poker        Test PASSED, Chi-squared Probability = 0.993422
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.634987
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.155807
 7.) Runs         Test PASSED, Chi-squared Probability = 0.465083
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.852476
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.566829
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.956600

Seed time: 0.016507 seconds;  Test time: 24.725962 sec; 2.35805e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.907350
 2.) Serial       Test PASSED, Chi-squared Probability = 0.541280
 3.) Gap          Test PASSED, Chi-squared Probability = 0.862746
 4.) Poker        Test PASSED, Chi-squared Probability = 0.018181
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.689137
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.670587
 7.) Runs         Test PASSED, Chi-squared Probability = 0.246308
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.496507
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.643325
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.920210

Seed time: 0.011210 seconds;  Test time: 24.746540 sec; 2.36001e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.693131
 2.) Serial       Test PASSED, Chi-squared Probability = 0.577317
 3.) Gap          Test PASSED, Chi-squared Probability = 0.040938
 4.) Poker        Test PASSED, Chi-squared Probability = 0.617406
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.531874
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.358669
 7.) Runs         Test PASSED, Chi-squared Probability = 0.044133
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.390972
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.233273
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.759589

Seed time: 0.006865 seconds;  Test time: 24.906403 sec; 2.37526e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.304461
 2.) Serial       Test PASSED, Chi-squared Probability = 0.377890
 3.) Gap          Test PASSED, Chi-squared Probability = 0.103752
 4.) Poker        Test PASSED, Chi-squared Probability = 0.137508
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.128206
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.213905
 7.) Runs         Test PASSED, Chi-squared Probability = 0.369947
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.185152
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.573843
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.811832

Seed time: 0.006956 seconds;  Test time: 24.919299 sec; 2.37649e-05 sec/rand.

----------------------------------------------------------------------


**********************************************************************
*                       Pass 10
**********************************************************************


  A Chi-Square-Probability should range uniformly between 0 and 1;
any value within the range is acceptable.  Values too close to
either edge, however, are suspect.
A reasonable cut-off for success is being farther from an edge than
about one part per thousand, or 0.1%.
This is the value that is used to determine whether a test
passes or fails.

Processed 1048576 Random Numbers, generated by "First  Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.650757
 2.) Serial       Test PASSED, Chi-squared Probability = 0.647238
 3.) Gap          Test PASSED, Chi-squared Probability = 0.582523
 4.) Poker        Test PASSED, Chi-squared Probability = 0.812366
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.470088
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.171277
 7.) Runs         Test PASSED, Chi-squared Probability = 0.612606
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.207775
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.177468
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.168333

Seed time: 0.007079 seconds;  Test time: 24.827730 sec; 2.36776e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.207079
 2.) Serial       Test PASSED, Chi-squared Probability = 0.917083
 3.) Gap          Test PASSED, Chi-squared Probability = 0.934293
 4.) Poker        Test FAILED, Chi-squared Probability = 0.000344
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.424080
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.833883
 7.) Runs         Test PASSED, Chi-squared Probability = 0.257668
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.389655
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.857545
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.071559

Seed time: 0.010612 seconds;  Test time: 24.731789 sec; 2.35861e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "First  Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.805954
 2.) Serial       Test PASSED, Chi-squared Probability = 0.817901
 3.) Gap          Test PASSED, Chi-squared Probability = 0.496249
 4.) Poker        Test PASSED, Chi-squared Probability = 0.298120
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.247813
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.760166
 7.) Runs         Test PASSED, Chi-squared Probability = 0.723705
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.238609
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.030729
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.558560

Seed time: 0.010592 seconds;  Test time: 24.787922 sec; 2.36396e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair X"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.898560
 2.) Serial       Test PASSED, Chi-squared Probability = 0.905002
 3.) Gap          Test PASSED, Chi-squared Probability = 0.726220
 4.) Poker        Test PASSED, Chi-squared Probability = 0.909865
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.492700
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.593619
 7.) Runs         Test PASSED, Chi-squared Probability = 0.401276
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.761815
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.856093
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.647163

Seed time: 0.011452 seconds;  Test time: 24.723032 sec; 2.35777e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Y"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.242615
 2.) Serial       Test PASSED, Chi-squared Probability = 0.749515
 3.) Gap          Test PASSED, Chi-squared Probability = 0.397636
 4.) Poker        Test PASSED, Chi-squared Probability = 0.384769
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.037582
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.116233
 7.) Runs         Test PASSED, Chi-squared Probability = 0.998717
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.559842
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.806185
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.693675

Seed time: 0.010466 seconds;  Test time: 24.742040 sec; 2.35958e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Second Pair Z"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.681505
 2.) Serial       Test PASSED, Chi-squared Probability = 0.116806
 3.) Gap          Test PASSED, Chi-squared Probability = 0.677209
 4.) Poker        Test PASSED, Chi-squared Probability = 0.704604
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.317422
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.014409
 7.) Runs         Test PASSED, Chi-squared Probability = 0.820783
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.480606
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.101523
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.427879

Seed time: 0.011183 seconds;  Test time: 24.781964 sec; 2.36339e-05 sec/rand.

----------------------------------------------------------------------
Processed 1048576 Random Numbers, generated by "Combine two Zs"

 1.) Frequency    Test PASSED, Chi-squared Probability = 0.609847
 2.) Serial       Test PASSED, Chi-squared Probability = 0.250558
 3.) Gap          Test PASSED, Chi-squared Probability = 0.875891
 4.) Poker        Test PASSED, Chi-squared Probability = 0.873537
 5.) Coupon       Test PASSED, Chi-squared Probability = 0.421003
 6.) Permutation  Test PASSED, Chi-squared Probability = 0.192730
 7.) Runs         Test PASSED, Chi-squared Probability = 0.562098
 8.) Maximum      Test PASSED, Chi-squared Probability = 0.975873
 9.) M-tuple      Test PASSED, Chi-squared Probability = 0.752406
10.) Birthdays    Test PASSED, Chi-squared Probability = 0.128390

Seed time: 0.007035 seconds;  Test time: 24.908065 sec; 2.37542e-05 sec/rand.

----------------------------------------------------------------------

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