				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499641
		(b) V_n_obs (Total # of runs) = 500433
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.612719
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.386207

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499850
		(b) V_n_obs (Total # of runs) = 499519
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.680173
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.336095

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501141
		(b) V_n_obs (Total # of runs) = 499317
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.962231
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.173577

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500605
		(b) V_n_obs (Total # of runs) = 499775
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.317163
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.653766

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499439
		(b) V_n_obs (Total # of runs) = 500300
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.425155
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.547667

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500093
		(b) V_n_obs (Total # of runs) = 500172
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.243269
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.730820

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500885
		(b) V_n_obs (Total # of runs) = 499399
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.847730
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.230578

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499120
		(b) V_n_obs (Total # of runs) = 500335
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.475953
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.500884

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498683
		(b) V_n_obs (Total # of runs) = 500394
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.562110
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.426646

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499512
		(b) V_n_obs (Total # of runs) = 499857
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.201559
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.775608

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499910
		(b) V_n_obs (Total # of runs) = 500120
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.169729
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.810305

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499818
		(b) V_n_obs (Total # of runs) = 499771
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.323761
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.647048

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500461
		(b) V_n_obs (Total # of runs) = 498793
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.706356
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.015815

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499714
		(b) V_n_obs (Total # of runs) = 499751
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.351908
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.618715

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499367
		(b) V_n_obs (Total # of runs) = 499740
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.366563
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.604181

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499873
		(b) V_n_obs (Total # of runs) = 500180
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.254604
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.718799

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499362
		(b) V_n_obs (Total # of runs) = 501193
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.688311
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.016957

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500295
		(b) V_n_obs (Total # of runs) = 500061
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.086513
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.902623

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500061
		(b) V_n_obs (Total # of runs) = 499249
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.062064
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.133101

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499482
		(b) V_n_obs (Total # of runs) = 499541
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.648366
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.359181

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499814
		(b) V_n_obs (Total # of runs) = 500610
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.862768
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.222412

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499075
		(b) V_n_obs (Total # of runs) = 499552
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.631150
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.372082

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499286
		(b) V_n_obs (Total # of runs) = 499416
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.824460
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.243629

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500030
		(b) V_n_obs (Total # of runs) = 499486
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.726903
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.303952

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500026
		(b) V_n_obs (Total # of runs) = 500892
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.261480
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.074423

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500707
		(b) V_n_obs (Total # of runs) = 499596
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.569930
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.420242

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500468
		(b) V_n_obs (Total # of runs) = 500090
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.127899
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.856465

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498962
		(b) V_n_obs (Total # of runs) = 499741
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.363235
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.607467

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499412
		(b) V_n_obs (Total # of runs) = 499465
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.755627
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.285242

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499989
		(b) V_n_obs (Total # of runs) = 500465
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.657610
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.352371

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500471
		(b) V_n_obs (Total # of runs) = 500037
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.052953
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.940304

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499379
		(b) V_n_obs (Total # of runs) = 500592
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.838306
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.235802

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499754
		(b) V_n_obs (Total # of runs) = 499924
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.107309
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.879378

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499947
		(b) V_n_obs (Total # of runs) = 498917
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.531585
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.030312

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500231
		(b) V_n_obs (Total # of runs) = 500208
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.294307
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.677254

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500467
		(b) V_n_obs (Total # of runs) = 499662
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.477388
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.499594

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500326
		(b) V_n_obs (Total # of runs) = 499725
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.388608
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.582611

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500207
		(b) V_n_obs (Total # of runs) = 499691
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.436871
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.536688

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499697
		(b) V_n_obs (Total # of runs) = 500092
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.130367
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.853725

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500260
		(b) V_n_obs (Total # of runs) = 500704
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.995798
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.159051

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499469
		(b) V_n_obs (Total # of runs) = 499345
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.925513
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.190577

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499937
		(b) V_n_obs (Total # of runs) = 499982
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.025445
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.971295

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499700
		(b) V_n_obs (Total # of runs) = 500570
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.806357
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.254136

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499575
		(b) V_n_obs (Total # of runs) = 500149
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.211229
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.765152

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500609
		(b) V_n_obs (Total # of runs) = 500159
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.225909
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.749360

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500328
		(b) V_n_obs (Total # of runs) = 499929
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.100105
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.887420

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500955
		(b) V_n_obs (Total # of runs) = 500139
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.199156
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.778213

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499971
		(b) V_n_obs (Total # of runs) = 499429
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.807514
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.253455

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499457
		(b) V_n_obs (Total # of runs) = 499669
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.467271
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.508727

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498393
		(b) V_n_obs (Total # of runs) = 499924
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.100177
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.887339

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500088
		(b) V_n_obs (Total # of runs) = 499839
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.227666
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.747476

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499837
		(b) V_n_obs (Total # of runs) = 499243
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.070485
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.130053

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499114
		(b) V_n_obs (Total # of runs) = 500605
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.857822
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.225075

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500349
		(b) V_n_obs (Total # of runs) = 499292
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.000919
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.156918

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499743
		(b) V_n_obs (Total # of runs) = 500502
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.710122
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.315251

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499991
		(b) V_n_obs (Total # of runs) = 500361
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.510531
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.470294

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499738
		(b) V_n_obs (Total # of runs) = 499405
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.841263
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.234154

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500216
		(b) V_n_obs (Total # of runs) = 499694
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.432617
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.540661

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499629
		(b) V_n_obs (Total # of runs) = 500122
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.172923
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.806804

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499927
		(b) V_n_obs (Total # of runs) = 500176
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.248917
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.724822

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499122
		(b) V_n_obs (Total # of runs) = 500578
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.819598
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.246421

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500878
		(b) V_n_obs (Total # of runs) = 500528
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.748887
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.289560

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500707
		(b) V_n_obs (Total # of runs) = 499605
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.557202
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.430695

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498936
		(b) V_n_obs (Total # of runs) = 499608
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.551172
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.435700

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500169
		(b) V_n_obs (Total # of runs) = 500053
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.075034
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.915492

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500427
		(b) V_n_obs (Total # of runs) = 500609
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.861772
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.222947

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500169
		(b) V_n_obs (Total # of runs) = 500176
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.248982
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.724753

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500028
		(b) V_n_obs (Total # of runs) = 500347
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.490734
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.487680

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500291
		(b) V_n_obs (Total # of runs) = 501044
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.476679
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.036767

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499247
		(b) V_n_obs (Total # of runs) = 500078
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.111913
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.874245

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500151
		(b) V_n_obs (Total # of runs) = 500115
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.162699
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.818021

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499684
		(b) V_n_obs (Total # of runs) = 499942
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.081742
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.907969

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500024
		(b) V_n_obs (Total # of runs) = 499460
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.763674
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.280143

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499921
		(b) V_n_obs (Total # of runs) = 499220
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.103069
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.118766

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499694
		(b) V_n_obs (Total # of runs) = 499771
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.323590
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.647221

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499216
		(b) V_n_obs (Total # of runs) = 499848
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.213222
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.763001

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500180
		(b) V_n_obs (Total # of runs) = 499840
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.226183
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.749067

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499524
		(b) V_n_obs (Total # of runs) = 500236
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.334396
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.636280

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500235
		(b) V_n_obs (Total # of runs) = 499890
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.155407
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.826043

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500109
		(b) V_n_obs (Total # of runs) = 500109
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.154183
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.827392

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500405
		(b) V_n_obs (Total # of runs) = 499795
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.289450
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.682287

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499963
		(b) V_n_obs (Total # of runs) = 500462
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.653371
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.355483

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500440
		(b) V_n_obs (Total # of runs) = 499330
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.946976
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.180497

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500500
		(b) V_n_obs (Total # of runs) = 499542
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.647003
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.360191

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499022
		(b) V_n_obs (Total # of runs) = 500512
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.726785
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.304030

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499615
		(b) V_n_obs (Total # of runs) = 499305
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.982460
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.164709

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499972
		(b) V_n_obs (Total # of runs) = 499632
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.520428
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.461733

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500495
		(b) V_n_obs (Total # of runs) = 499742
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.364174
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.606539

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500594
		(b) V_n_obs (Total # of runs) = 499975
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.034357
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.961247

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500406
		(b) V_n_obs (Total # of runs) = 500049
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.069763
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.921409

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500155
		(b) V_n_obs (Total # of runs) = 500225
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.318266
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.652641

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499935
		(b) V_n_obs (Total # of runs) = 500539
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.762273
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.281026

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499168
		(b) V_n_obs (Total # of runs) = 500622
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.881601
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.212481

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500167
		(b) V_n_obs (Total # of runs) = 499078
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.303826
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.065199

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499253
		(b) V_n_obs (Total # of runs) = 499689
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.438243
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.535410

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499793
		(b) V_n_obs (Total # of runs) = 500389
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.550250
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.436468

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499977
		(b) V_n_obs (Total # of runs) = 500048
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.067884
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.923519

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498921
		(b) V_n_obs (Total # of runs) = 500051
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.075418
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.915061

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500466
		(b) V_n_obs (Total # of runs) = 501003
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.419072
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.044763

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499879
		(b) V_n_obs (Total # of runs) = 500047
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.066509
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.925063

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499564
		(b) V_n_obs (Total # of runs) = 499572
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.604746
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.392418

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499487
		(b) V_n_obs (Total # of runs) = 500746
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.055749
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.135423

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499589
		(b) V_n_obs (Total # of runs) = 499297
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.993715
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.159925

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500053
		(b) V_n_obs (Total # of runs) = 499728
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.384658
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.586449

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500020
		(b) V_n_obs (Total # of runs) = 500219
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.309714
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.661385

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500067
		(b) V_n_obs (Total # of runs) = 500340
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.480845
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.496493

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500297
		(b) V_n_obs (Total # of runs) = 500404
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.571592
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.418887

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500022
		(b) V_n_obs (Total # of runs) = 500036
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.050913
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.942600

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500653
		(b) V_n_obs (Total # of runs) = 499553
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.630948
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.372234

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499565
		(b) V_n_obs (Total # of runs) = 500169
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.239537
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.734793

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499845
		(b) V_n_obs (Total # of runs) = 500167
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.236242
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.738307

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500140
		(b) V_n_obs (Total # of runs) = 499051
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.342033
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.057706

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499882
		(b) V_n_obs (Total # of runs) = 500118
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.166917
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.813389

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500111
		(b) V_n_obs (Total # of runs) = 499520
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.678788
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.337080

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501134
		(b) V_n_obs (Total # of runs) = 500002
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.006466
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.992704

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500468
		(b) V_n_obs (Total # of runs) = 499374
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.884679
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.210889

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499518
		(b) V_n_obs (Total # of runs) = 500726
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.027377
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.146243

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499690
		(b) V_n_obs (Total # of runs) = 500691
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.977494
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.166854

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500227
		(b) V_n_obs (Total # of runs) = 499692
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.435432
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.538030

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500006
		(b) V_n_obs (Total # of runs) = 500156
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.220617
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.755040

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500005
		(b) V_n_obs (Total # of runs) = 499533
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.660438
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.350304

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499368
		(b) V_n_obs (Total # of runs) = 500213
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.302358
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.668944

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500080
		(b) V_n_obs (Total # of runs) = 499571
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.606680
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.390907

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499788
		(b) V_n_obs (Total # of runs) = 500644
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.910881
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.197683

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500464
		(b) V_n_obs (Total # of runs) = 499789
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.297790
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.673653

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500732
		(b) V_n_obs (Total # of runs) = 500062
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.089197
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.899618

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499629
		(b) V_n_obs (Total # of runs) = 500058
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.082414
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.907216

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500840
		(b) V_n_obs (Total # of runs) = 500137
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.195744
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.781916

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500297
		(b) V_n_obs (Total # of runs) = 499827
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.244410
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.729608

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500273
		(b) V_n_obs (Total # of runs) = 500470
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.664891
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.347065

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499799
		(b) V_n_obs (Total # of runs) = 499703
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.419907
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.552620

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500260
		(b) V_n_obs (Total # of runs) = 500362
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.512137
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.468900

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499490
		(b) V_n_obs (Total # of runs) = 499328
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.949617
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.179285

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499214
		(b) V_n_obs (Total # of runs) = 501001
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.417379
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.045019

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500551
		(b) V_n_obs (Total # of runs) = 500521
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.737665
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.296848

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499892
		(b) V_n_obs (Total # of runs) = 499326
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.953147
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.177673

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499956
		(b) V_n_obs (Total # of runs) = 499399
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.849937
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.229367

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499340
		(b) V_n_obs (Total # of runs) = 500587
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.831377
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.239697

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499876
		(b) V_n_obs (Total # of runs) = 500722
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.021106
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.148722

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500079
		(b) V_n_obs (Total # of runs) = 500468
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.661870
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.349260

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500135
		(b) V_n_obs (Total # of runs) = 500288
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.407345
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.564566

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500745
		(b) V_n_obs (Total # of runs) = 500313
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.444220
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.529859

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500679
		(b) V_n_obs (Total # of runs) = 500566
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.801750
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.256859

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499108
		(b) V_n_obs (Total # of runs) = 500211
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.300650
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.670703

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500073
		(b) V_n_obs (Total # of runs) = 499661
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.479403
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.497785

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500922
		(b) V_n_obs (Total # of runs) = 499787
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.298824
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.672586

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500153
		(b) V_n_obs (Total # of runs) = 498847
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.630522
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.021116

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500500
		(b) V_n_obs (Total # of runs) = 500578
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.818123
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.247272

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500240
		(b) V_n_obs (Total # of runs) = 500177
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.250479
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.723166

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500133
		(b) V_n_obs (Total # of runs) = 499354
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.913532
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.196382

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499174
		(b) V_n_obs (Total # of runs) = 499740
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.365767
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.604966

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499785
		(b) V_n_obs (Total # of runs) = 499806
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.274227
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.698153

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499603
		(b) V_n_obs (Total # of runs) = 499364
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.898995
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.203597

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499763
		(b) V_n_obs (Total # of runs) = 500871
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.231939
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.081469

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500513
		(b) V_n_obs (Total # of runs) = 500495
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.700781
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.321659

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500012
		(b) V_n_obs (Total # of runs) = 499806
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.274357
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.698016

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500176
		(b) V_n_obs (Total # of runs) = 499583
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.589640
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.404351

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499662
		(b) V_n_obs (Total # of runs) = 500176
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.249225
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.724495

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500365
		(b) V_n_obs (Total # of runs) = 500650
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.919616
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.193418

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499983
		(b) V_n_obs (Total # of runs) = 500696
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.984293
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.163922

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500457
		(b) V_n_obs (Total # of runs) = 500457
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.646887
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.360278

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500180
		(b) V_n_obs (Total # of runs) = 499110
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.258559
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.075097

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500209
		(b) V_n_obs (Total # of runs) = 500313
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.442772
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.531200

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500168
		(b) V_n_obs (Total # of runs) = 500487
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.688802
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.330000

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500867
		(b) V_n_obs (Total # of runs) = 499777
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.313244
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.657770

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500319
		(b) V_n_obs (Total # of runs) = 500553
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.782348
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.268550

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500044
		(b) V_n_obs (Total # of runs) = 500597
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.844291
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.232475

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500464
		(b) V_n_obs (Total # of runs) = 499645
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.501437
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.478238

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499989
		(b) V_n_obs (Total # of runs) = 499658
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.483661
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.493975

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500682
		(b) V_n_obs (Total # of runs) = 499966
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.046768
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.947267

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500361
		(b) V_n_obs (Total # of runs) = 499816
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.259847
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.713262

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500282
		(b) V_n_obs (Total # of runs) = 500233
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.329737
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.640988

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499993
		(b) V_n_obs (Total # of runs) = 501125
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.590990
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.024449

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500640
		(b) V_n_obs (Total # of runs) = 500200
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.284002
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.687950

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499582
		(b) V_n_obs (Total # of runs) = 499978
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.030619
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.965461

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500499
		(b) V_n_obs (Total # of runs) = 500071
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.101114
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.886293

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500049
		(b) V_n_obs (Total # of runs) = 499918
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.115959
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.869739

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499866
		(b) V_n_obs (Total # of runs) = 499598
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.568463
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.421438

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499731
		(b) V_n_obs (Total # of runs) = 499080
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.300872
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.065811

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499726
		(b) V_n_obs (Total # of runs) = 499554
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.630527
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.372554

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500670
		(b) V_n_obs (Total # of runs) = 499714
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.403196
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.568538

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500371
		(b) V_n_obs (Total # of runs) = 500022
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.031502
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.964466

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499482
		(b) V_n_obs (Total # of runs) = 500162
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.229862
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.745125

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499832
		(b) V_n_obs (Total # of runs) = 499874
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.178111
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.801128

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500066
		(b) V_n_obs (Total # of runs) = 500398
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.562869
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.426022

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499573
		(b) V_n_obs (Total # of runs) = 499911
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.125349
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.859296

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500233
		(b) V_n_obs (Total # of runs) = 501055
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.492149
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.034840

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500439
		(b) V_n_obs (Total # of runs) = 500635
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.898571
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.203810

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499420
		(b) V_n_obs (Total # of runs) = 500074
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.105603
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.881281

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499800
		(b) V_n_obs (Total # of runs) = 499986
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.019686
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.977790

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499169
		(b) V_n_obs (Total # of runs) = 500049
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.071250
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.919739

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499683
		(b) V_n_obs (Total # of runs) = 499458
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.766220
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.278543

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499897
		(b) V_n_obs (Total # of runs) = 500290
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.410152
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.561886

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499996
		(b) V_n_obs (Total # of runs) = 500032
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.045255
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.948970

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499700
		(b) V_n_obs (Total # of runs) = 499710
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.409868
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.562157

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500162
		(b) V_n_obs (Total # of runs) = 499783
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.306810
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.664365

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500848
		(b) V_n_obs (Total # of runs) = 499771
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.321822
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.649019

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500000
		(b) V_n_obs (Total # of runs) = 499965
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.049497
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.944194

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500599
		(b) V_n_obs (Total # of runs) = 499803
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.277586
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.694641

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499308
		(b) V_n_obs (Total # of runs) = 500559
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.791901
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.262749

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499806
		(b) V_n_obs (Total # of runs) = 499831
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.238896
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.735477

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500238
		(b) V_n_obs (Total # of runs) = 499453
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.773415
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.274054

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501400
		(b) V_n_obs (Total # of runs) = 499557
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.620958
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.379853

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499532
		(b) V_n_obs (Total # of runs) = 500034
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.048703
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.945088

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499903
		(b) V_n_obs (Total # of runs) = 499809
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.270088
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.702489

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499708
		(b) V_n_obs (Total # of runs) = 500118
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.167118
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.813168

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500364
		(b) V_n_obs (Total # of runs) = 500724
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.024266
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.147469

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501121
		(b) V_n_obs (Total # of runs) = 500250
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.357110
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.613538

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499896
		(b) V_n_obs (Total # of runs) = 500421
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.595415
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.399764

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499865
		(b) V_n_obs (Total # of runs) = 499772
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.322389
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.648442

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499724
		(b) V_n_obs (Total # of runs) = 500382
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.540445
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.444686

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500884
		(b) V_n_obs (Total # of runs) = 500527
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.747503
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.290453

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500238
		(b) V_n_obs (Total # of runs) = 500663
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.937784
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.184765

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501551
		(b) V_n_obs (Total # of runs) = 500845
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.201826
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.089199

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500145
		(b) V_n_obs (Total # of runs) = 499992
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.011254
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.987301

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500794
		(b) V_n_obs (Total # of runs) = 500152
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.216744
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.759207

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499528
		(b) V_n_obs (Total # of runs) = 499535
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.656980
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.352832

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500670
		(b) V_n_obs (Total # of runs) = 499838
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.227833
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.747297

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500806
		(b) V_n_obs (Total # of runs) = 500251
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.356806
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.613840

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500606
		(b) V_n_obs (Total # of runs) = 501096
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.551019
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.028273

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500197
		(b) V_n_obs (Total # of runs) = 501117
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.579787
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.025473

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500135
		(b) V_n_obs (Total # of runs) = 500616
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.871207
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.217922

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500245
		(b) V_n_obs (Total # of runs) = 500337
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.476760
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.500159

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500968
		(b) V_n_obs (Total # of runs) = 500679
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.962905
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.173276

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500236
		(b) V_n_obs (Total # of runs) = 499585
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.586741
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.406665

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499717
		(b) V_n_obs (Total # of runs) = 500067
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.094979
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.893149

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500075
		(b) V_n_obs (Total # of runs) = 500493
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.697223
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.324122

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500219
		(b) V_n_obs (Total # of runs) = 499436
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.797481
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.259401

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500381
		(b) V_n_obs (Total # of runs) = 500631
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.892780
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.206740

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499015
		(b) V_n_obs (Total # of runs) = 499931
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.094837
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.893308

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499172
		(b) V_n_obs (Total # of runs) = 499383
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.870633
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.218225

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499508
		(b) V_n_obs (Total # of runs) = 500125
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.177462
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.801838

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500562
		(b) V_n_obs (Total # of runs) = 500639
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.904577
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.200804

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500294
		(b) V_n_obs (Total # of runs) = 500770
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.089189
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.123476

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501172
		(b) V_n_obs (Total # of runs) = 500223
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.319256
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.651632

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499878
		(b) V_n_obs (Total # of runs) = 499383
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.872528
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.217225

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500225
		(b) V_n_obs (Total # of runs) = 499966
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.047940
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.945947

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500592
		(b) V_n_obs (Total # of runs) = 499772
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.321450
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.649398

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499444
		(b) V_n_obs (Total # of runs) = 499593
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.574711
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.416353

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500294
		(b) V_n_obs (Total # of runs) = 500407
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.575830
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.415447

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500149
		(b) V_n_obs (Total # of runs) = 501388
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.962991
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.005502

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500101
		(b) V_n_obs (Total # of runs) = 499994
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.008456
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.990458

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499972
		(b) V_n_obs (Total # of runs) = 499696
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.429919
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.543190

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500740
		(b) V_n_obs (Total # of runs) = 499252
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.056285
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.135225

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499478
		(b) V_n_obs (Total # of runs) = 499362
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.901499
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.202341

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499238
		(b) V_n_obs (Total # of runs) = 500464
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.657839
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.352203

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500443
		(b) V_n_obs (Total # of runs) = 499612
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.548160
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.438212

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500617
		(b) V_n_obs (Total # of runs) = 500565
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.800109
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.257834

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500017
		(b) V_n_obs (Total # of runs) = 500537
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.759434
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.282822

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498996
		(b) V_n_obs (Total # of runs) = 500698
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.989976
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.161502

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498839
		(b) V_n_obs (Total # of runs) = 499105
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.261915
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.074323

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499935
		(b) V_n_obs (Total # of runs) = 500863
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.220478
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.084344

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500641
		(b) V_n_obs (Total # of runs) = 499860
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.196828
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.780738

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499666
		(b) V_n_obs (Total # of runs) = 500627
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.887028
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.209680

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499669
		(b) V_n_obs (Total # of runs) = 501450
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.050920
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.003726

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499436
		(b) V_n_obs (Total # of runs) = 500637
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.901755
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.202212

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499889
		(b) V_n_obs (Total # of runs) = 499911
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.125830
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.858762

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500538
		(b) V_n_obs (Total # of runs) = 501011
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.430590
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.043057

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499356
		(b) V_n_obs (Total # of runs) = 499876
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.174190
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.805418

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499896
		(b) V_n_obs (Total # of runs) = 500171
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.241861
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.732318

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499278
		(b) V_n_obs (Total # of runs) = 499816
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.258741
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.714428

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499818
		(b) V_n_obs (Total # of runs) = 500873
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.234702
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.080788

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500206
		(b) V_n_obs (Total # of runs) = 499986
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.019679
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.977798

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500782
		(b) V_n_obs (Total # of runs) = 500109
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.155879
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.825523

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499538
		(b) V_n_obs (Total # of runs) = 499735
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.374163
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.596704

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500324
		(b) V_n_obs (Total # of runs) = 500109
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.154446
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.827102

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500133
		(b) V_n_obs (Total # of runs) = 499922
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.110259
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.876089

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499811
		(b) V_n_obs (Total # of runs) = 499839
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.227587
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.747561

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500890
		(b) V_n_obs (Total # of runs) = 500035
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.051738
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.941672

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499887
		(b) V_n_obs (Total # of runs) = 500835
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.180905
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.094909

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499420
		(b) V_n_obs (Total # of runs) = 499661
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.478468
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.498625

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500211
		(b) V_n_obs (Total # of runs) = 500892
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.261605
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.074395

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500312
		(b) V_n_obs (Total # of runs) = 500302
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.427368
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.545585

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499543
		(b) V_n_obs (Total # of runs) = 500789
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.116406
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.114374

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499487
		(b) V_n_obs (Total # of runs) = 500843
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.192928
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.091593

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499355
		(b) V_n_obs (Total # of runs) = 499582
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.589966
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.404091

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500444
		(b) V_n_obs (Total # of runs) = 499186
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.150613
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.103692

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500359
		(b) V_n_obs (Total # of runs) = 500599
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.847479
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.230716

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499296
		(b) V_n_obs (Total # of runs) = 500734
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.039437
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.141566

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501014
		(b) V_n_obs (Total # of runs) = 501092
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.547236
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.028661

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499911
		(b) V_n_obs (Total # of runs) = 499974
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.036747
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.958554

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499086
		(b) V_n_obs (Total # of runs) = 500893
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.265260
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.073559

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500457
		(b) V_n_obs (Total # of runs) = 500072
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.102414
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.884841

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500509
		(b) V_n_obs (Total # of runs) = 500095
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.135083
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.848497

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499862
		(b) V_n_obs (Total # of runs) = 500411
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.581296
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.411034

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499974
		(b) V_n_obs (Total # of runs) = 499208
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.120055
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.113194

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500215
		(b) V_n_obs (Total # of runs) = 500238
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.336714
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.633943

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499478
		(b) V_n_obs (Total # of runs) = 500109
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.154920
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.826580

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500182
		(b) V_n_obs (Total # of runs) = 500006
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.008579
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.990320

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500685
		(b) V_n_obs (Total # of runs) = 500111
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.158305
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.822853

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500231
		(b) V_n_obs (Total # of runs) = 498977
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.446590
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.040777

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499600
		(b) V_n_obs (Total # of runs) = 500012
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.017423
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.980342

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501085
		(b) V_n_obs (Total # of runs) = 499271
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.027637
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.146141

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500494
		(b) V_n_obs (Total # of runs) = 499247
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.064214
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.132318

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500288
		(b) V_n_obs (Total # of runs) = 500331
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.468339
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.507758

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499850
		(b) V_n_obs (Total # of runs) = 501069
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.511858
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.032509

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500369
		(b) V_n_obs (Total # of runs) = 499770
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.324884
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.645907

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500137
		(b) V_n_obs (Total # of runs) = 499730
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.381785
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.589249

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500017
		(b) V_n_obs (Total # of runs) = 500390
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.551544
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.435390

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499908
		(b) V_n_obs (Total # of runs) = 500155
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.219227
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.756535

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499200
		(b) V_n_obs (Total # of runs) = 500754
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.068130
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.130900

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500374
		(b) V_n_obs (Total # of runs) = 500435
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.615579
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.383994

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499985
		(b) V_n_obs (Total # of runs) = 499465
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.756604
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.284620

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499338
		(b) V_n_obs (Total # of runs) = 499805
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.274533
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.697833

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500642
		(b) V_n_obs (Total # of runs) = 500010
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.015308
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.982728

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500592
		(b) V_n_obs (Total # of runs) = 499812
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.264881
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.707959

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500096
		(b) V_n_obs (Total # of runs) = 500060
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.084879
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.904454

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499943
		(b) V_n_obs (Total # of runs) = 500049
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.069306
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.921922

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499992
		(b) V_n_obs (Total # of runs) = 499211
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.115814
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.114566

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500550
		(b) V_n_obs (Total # of runs) = 500704
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.996463
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.158773

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500484
		(b) V_n_obs (Total # of runs) = 500374
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.529579
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.453895

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499650
		(b) V_n_obs (Total # of runs) = 500589
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.833319
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.238601

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499672
		(b) V_n_obs (Total # of runs) = 500191
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.270419
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.702142

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499701
		(b) V_n_obs (Total # of runs) = 501187
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.678925
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.017579

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499284
		(b) V_n_obs (Total # of runs) = 500391
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.554409
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.433009

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498948
		(b) V_n_obs (Total # of runs) = 499610
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.548415
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.437999

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499947
		(b) V_n_obs (Total # of runs) = 499308
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.978628
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.166362

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499577
		(b) V_n_obs (Total # of runs) = 498611
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.963838
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.005481

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500028
		(b) V_n_obs (Total # of runs) = 499676
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.458203
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.516987

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500214
		(b) V_n_obs (Total # of runs) = 500659
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.932096
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.187442

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499525
		(b) V_n_obs (Total # of runs) = 499562
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.618788
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.381520

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501347
		(b) V_n_obs (Total # of runs) = 498878
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.581627
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.025302

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500335
		(b) V_n_obs (Total # of runs) = 498765
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.746237
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.013528

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499007
		(b) V_n_obs (Total # of runs) = 499503
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.700078
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.322145

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500128
		(b) V_n_obs (Total # of runs) = 499466
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.755144
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.285550

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499560
		(b) V_n_obs (Total # of runs) = 500303
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.429055
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.544000

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499691
		(b) V_n_obs (Total # of runs) = 499717
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.399953
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.571653

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499818
		(b) V_n_obs (Total # of runs) = 500225
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.318292
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.652615

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500448
		(b) V_n_obs (Total # of runs) = 499473
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.744723
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.292250

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499639
		(b) V_n_obs (Total # of runs) = 499924
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.107112
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.879598

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500552
		(b) V_n_obs (Total # of runs) = 501343
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.900153
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.007205

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499968
		(b) V_n_obs (Total # of runs) = 498699
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.839889
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.009268

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501036
		(b) V_n_obs (Total # of runs) = 499279
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.016617
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.150516

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499935
		(b) V_n_obs (Total # of runs) = 500415
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.586911
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.406529

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500033
		(b) V_n_obs (Total # of runs) = 499180
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.159652
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.101006

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499084
		(b) V_n_obs (Total # of runs) = 499643
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.502503
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.477304

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500594
		(b) V_n_obs (Total # of runs) = 499717
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.399225
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.572353

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499636
		(b) V_n_obs (Total # of runs) = 500456
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.645256
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.361490

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500734
		(b) V_n_obs (Total # of runs) = 499879
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.169596
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.810450

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500424
		(b) V_n_obs (Total # of runs) = 501381
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.953539
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.005732

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500156
		(b) V_n_obs (Total # of runs) = 500124
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.175431
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.804059

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500723
		(b) V_n_obs (Total # of runs) = 499994
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007007
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.992094

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500242
		(b) V_n_obs (Total # of runs) = 499812
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.265707
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.707091

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500551
		(b) V_n_obs (Total # of runs) = 500952
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.347192
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.056752

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499729
		(b) V_n_obs (Total # of runs) = 500366
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.517810
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.463989

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499406
		(b) V_n_obs (Total # of runs) = 500896
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.268135
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.072907

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500362
		(b) V_n_obs (Total # of runs) = 501145
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.619646
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.021991

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499083
		(b) V_n_obs (Total # of runs) = 500422
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.599179
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.396791

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499613
		(b) V_n_obs (Total # of runs) = 500125
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.177200
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.802124

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499425
		(b) V_n_obs (Total # of runs) = 499532
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.660918
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.349954

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499700
		(b) V_n_obs (Total # of runs) = 500075
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.106321
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.880481

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499434
		(b) V_n_obs (Total # of runs) = 500406
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.575078
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.416056

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499613
		(b) V_n_obs (Total # of runs) = 501889
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.671875
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.000158

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500743
		(b) V_n_obs (Total # of runs) = 499900
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.139860
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.843208

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499834
		(b) V_n_obs (Total # of runs) = 499148
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.204832
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.088402

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499545
		(b) V_n_obs (Total # of runs) = 499651
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.492975
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.485695

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500424
		(b) V_n_obs (Total # of runs) = 499881
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.167783
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.812439

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499631
		(b) V_n_obs (Total # of runs) = 499243
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.070175
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.130164

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500987
		(b) V_n_obs (Total # of runs) = 500807
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.144030
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.105684

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499905
		(b) V_n_obs (Total # of runs) = 499384
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.871130
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.217963

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501274
		(b) V_n_obs (Total # of runs) = 499938
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.083091
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.906457

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500459
		(b) V_n_obs (Total # of runs) = 498945
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.491401
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.034931

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500958
		(b) V_n_obs (Total # of runs) = 499952
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.065287
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.926436

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499705
		(b) V_n_obs (Total # of runs) = 499274
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.026473
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.146598

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500692
		(b) V_n_obs (Total # of runs) = 499788
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.298459
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.672963

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499106
		(b) V_n_obs (Total # of runs) = 500338
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.480266
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.497012

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500956
		(b) V_n_obs (Total # of runs) = 500803
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.138203
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.107472

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500302
		(b) V_n_obs (Total # of runs) = 500208
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.294414
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.677143

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500088
		(b) V_n_obs (Total # of runs) = 499746
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.359188
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.611475

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500038
		(b) V_n_obs (Total # of runs) = 500178
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.251734
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.721836

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500223
		(b) V_n_obs (Total # of runs) = 500904
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.278590
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.070575

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499676
		(b) V_n_obs (Total # of runs) = 500056
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.079493
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.910490

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500014
		(b) V_n_obs (Total # of runs) = 499852
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.209303
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.767231

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499914
		(b) V_n_obs (Total # of runs) = 500530
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.749554
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.289131

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500208
		(b) V_n_obs (Total # of runs) = 500351
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.496511
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.482571

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500612
		(b) V_n_obs (Total # of runs) = 501130
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.599123
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.023728

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499201
		(b) V_n_obs (Total # of runs) = 500349
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.495367
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.483581

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500035
		(b) V_n_obs (Total # of runs) = 500279
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.394569
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.576841

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499531
		(b) V_n_obs (Total # of runs) = 499245
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.067110
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.131268

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499573
		(b) V_n_obs (Total # of runs) = 500328
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.464378
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.511355

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500125
		(b) V_n_obs (Total # of runs) = 500705
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.997065
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.158521

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500230
		(b) V_n_obs (Total # of runs) = 501309
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.851356
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.008839

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500519
		(b) V_n_obs (Total # of runs) = 500560
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.792722
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.262254

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499982
		(b) V_n_obs (Total # of runs) = 500111
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.156979
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.824313

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500462
		(b) V_n_obs (Total # of runs) = 500257
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.364057
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.606655

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499832
		(b) V_n_obs (Total # of runs) = 499113
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.254328
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.076082

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500082
		(b) V_n_obs (Total # of runs) = 499674
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.461015
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.514419

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500164
		(b) V_n_obs (Total # of runs) = 500169
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.239078
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.735282

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498983
		(b) V_n_obs (Total # of runs) = 499967
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.043744
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.950672

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500051
		(b) V_n_obs (Total # of runs) = 500645
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.912175
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.197047

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500027
		(b) V_n_obs (Total # of runs) = 499963
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.052324
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.941013

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500118
		(b) V_n_obs (Total # of runs) = 499846
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.217750
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.758125

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500878
		(b) V_n_obs (Total # of runs) = 499714
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.402286
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.569412

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500357
		(b) V_n_obs (Total # of runs) = 499718
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.398448
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.573101

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500016
		(b) V_n_obs (Total # of runs) = 499261
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.045103
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.139408

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499976
		(b) V_n_obs (Total # of runs) = 500007
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.009901
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.988828

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500245
		(b) V_n_obs (Total # of runs) = 499661
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.479249
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.497924

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500420
		(b) V_n_obs (Total # of runs) = 500849
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.201167
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.089374

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500324
		(b) V_n_obs (Total # of runs) = 499662
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.477707
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.499307

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500024
		(b) V_n_obs (Total # of runs) = 499043
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.353401
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.055620

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500088
		(b) V_n_obs (Total # of runs) = 500832
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.176648
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.096106

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499201
		(b) V_n_obs (Total # of runs) = 500971
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.375011
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.051828

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499852
		(b) V_n_obs (Total # of runs) = 499657
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.485013
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.492768

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499453
		(b) V_n_obs (Total # of runs) = 500094
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.133783
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.849938

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500403
		(b) V_n_obs (Total # of runs) = 499350
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.918780
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.193823

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499610
		(b) V_n_obs (Total # of runs) = 499976
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.033511
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.962201

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500244
		(b) V_n_obs (Total # of runs) = 499764
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.333586
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.637097

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500176
		(b) V_n_obs (Total # of runs) = 499642
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.506201
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.474068

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500295
		(b) V_n_obs (Total # of runs) = 499876
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.175116
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.804404

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499665
		(b) V_n_obs (Total # of runs) = 499818
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.257070
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.716193

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500268
		(b) V_n_obs (Total # of runs) = 499242
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.071771
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.129592

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500042
		(b) V_n_obs (Total # of runs) = 500614
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.868332
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.219444

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499603
		(b) V_n_obs (Total # of runs) = 500277
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.392183
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.579147

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500626
		(b) V_n_obs (Total # of runs) = 499943
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.079502
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.910480

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499911
		(b) V_n_obs (Total # of runs) = 499844
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.220595
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.755065

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500575
		(b) V_n_obs (Total # of runs) = 500185
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.262565
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.710397

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499527
		(b) V_n_obs (Total # of runs) = 499864
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.191700
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.786310

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500302
		(b) V_n_obs (Total # of runs) = 499613
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.547043
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.439146

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499399
		(b) V_n_obs (Total # of runs) = 500385
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.545495
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.440443

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499682
		(b) V_n_obs (Total # of runs) = 499527
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.668637
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.344355

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499269
		(b) V_n_obs (Total # of runs) = 500027
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.039695
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.955232

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499461
		(b) V_n_obs (Total # of runs) = 500048
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.068704
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.922598

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499657
		(b) V_n_obs (Total # of runs) = 499682
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.449387
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.525083

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500083
		(b) V_n_obs (Total # of runs) = 499964
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.050892
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.942624

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499780
		(b) V_n_obs (Total # of runs) = 499829
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.241694
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.732497

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499404
		(b) V_n_obs (Total # of runs) = 499194
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.138853
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.107271

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499175
		(b) V_n_obs (Total # of runs) = 499428
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.807007
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.253753

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499912
		(b) V_n_obs (Total # of runs) = 499467
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.753754
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.286438

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500832
		(b) V_n_obs (Total # of runs) = 499669
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.466148
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.509746

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499482
		(b) V_n_obs (Total # of runs) = 499899
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.142077
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.840756

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499028
		(b) V_n_obs (Total # of runs) = 499995
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.004399
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.995036

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500459
		(b) V_n_obs (Total # of runs) = 500441
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.624265
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.377321

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500449
		(b) V_n_obs (Total # of runs) = 500051
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.072695
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.918117

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499884
		(b) V_n_obs (Total # of runs) = 500368
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.520469
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.461698

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500809
		(b) V_n_obs (Total # of runs) = 499244
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.067297
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.131200

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500198
		(b) V_n_obs (Total # of runs) = 499786
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.302531
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.668765

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499386
		(b) V_n_obs (Total # of runs) = 500773
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.094255
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.121740

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500091
		(b) V_n_obs (Total # of runs) = 499791
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.295547
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.675971

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500037
		(b) V_n_obs (Total # of runs) = 499207
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.121467
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.112741

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500091
		(b) V_n_obs (Total # of runs) = 500520
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.735414
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.298324

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499700
		(b) V_n_obs (Total # of runs) = 500111
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.157232
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.824034

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499712
		(b) V_n_obs (Total # of runs) = 500305
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.431570
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.541642

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499787
		(b) V_n_obs (Total # of runs) = 499557
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.626368
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.375715

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499739
		(b) V_n_obs (Total # of runs) = 499437
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.796010
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.260281

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499570
		(b) V_n_obs (Total # of runs) = 501010
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.428880
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.043307

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499356
		(b) V_n_obs (Total # of runs) = 499303
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.984535
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.163818

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500184
		(b) V_n_obs (Total # of runs) = 498972
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.453716
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.039796

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500759
		(b) V_n_obs (Total # of runs) = 499621
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.534359
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.449831

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499914
		(b) V_n_obs (Total # of runs) = 500682
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.964515
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.172558

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501275
		(b) V_n_obs (Total # of runs) = 500378
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.539174
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.445757

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499120
		(b) V_n_obs (Total # of runs) = 500597
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.846478
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.231267

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499930
		(b) V_n_obs (Total # of runs) = 500707
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.999863
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.157356

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499825
		(b) V_n_obs (Total # of runs) = 500420
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.594056
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.400840

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500200
		(b) V_n_obs (Total # of runs) = 499740
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.367582
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.603175

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500194
		(b) V_n_obs (Total # of runs) = 500712
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.007027
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.154403

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499624
		(b) V_n_obs (Total # of runs) = 499452
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.774590
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.273326

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499466
		(b) V_n_obs (Total # of runs) = 499596
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.570536
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.419747

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499729
		(b) V_n_obs (Total # of runs) = 501039
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.469576
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.037682

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500286
		(b) V_n_obs (Total # of runs) = 500280
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.396211
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.575256

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499898
		(b) V_n_obs (Total # of runs) = 500446
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.630769
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.372371

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500462
		(b) V_n_obs (Total # of runs) = 500580
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.820848
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.245701

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499359
		(b) V_n_obs (Total # of runs) = 501107
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.566699
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.026716

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500345
		(b) V_n_obs (Total # of runs) = 499834
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.234423
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.740249

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499177
		(b) V_n_obs (Total # of runs) = 499983
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.022126
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.975038

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499098
		(b) V_n_obs (Total # of runs) = 499980
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.025983
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.970688

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499489
		(b) V_n_obs (Total # of runs) = 499788
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.299075
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.672327

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500148
		(b) V_n_obs (Total # of runs) = 500372
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.526149
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.456823

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500617
		(b) V_n_obs (Total # of runs) = 500735
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.040525
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.141149

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499944
		(b) V_n_obs (Total # of runs) = 499876
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.175354
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.804144

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500526
		(b) V_n_obs (Total # of runs) = 500458
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.648493
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.359086

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499500
		(b) V_n_obs (Total # of runs) = 499487
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.724785
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.305363

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500338
		(b) V_n_obs (Total # of runs) = 499363
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.900531
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.202825

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499367
		(b) V_n_obs (Total # of runs) = 500335
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.474896
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.501836

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499853
		(b) V_n_obs (Total # of runs) = 499408
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.837153
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.236447

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500197
		(b) V_n_obs (Total # of runs) = 500147
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.207999
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.768639

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501059
		(b) V_n_obs (Total # of runs) = 500150
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.215305
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.760757

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499649
		(b) V_n_obs (Total # of runs) = 500699
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.988884
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.161965

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499588
		(b) V_n_obs (Total # of runs) = 499542
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.647230
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.360023

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499667
		(b) V_n_obs (Total # of runs) = 500362
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.512259
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.468793

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500078
		(b) V_n_obs (Total # of runs) = 500614
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.868344
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.219438

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499589
		(b) V_n_obs (Total # of runs) = 499759
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.340348
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.630286

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499865
		(b) V_n_obs (Total # of runs) = 499853
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.207838
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.768814

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499879
		(b) V_n_obs (Total # of runs) = 500680
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.961707
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.173811

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499176
		(b) V_n_obs (Total # of runs) = 500535
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.758527
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.283397

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499630
		(b) V_n_obs (Total # of runs) = 499534
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.658637
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.351619

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499638
		(b) V_n_obs (Total # of runs) = 500615
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.870112
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.218501

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499423
		(b) V_n_obs (Total # of runs) = 500115
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.163576
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.817057

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500049
		(b) V_n_obs (Total # of runs) = 499992
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.011307
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.987242

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500520
		(b) V_n_obs (Total # of runs) = 499184
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.153235
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.102907

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499858
		(b) V_n_obs (Total # of runs) = 500262
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.370581
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.600222

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499188
		(b) V_n_obs (Total # of runs) = 499558
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.623219
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.378120

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500678
		(b) V_n_obs (Total # of runs) = 500364
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.516075
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.465488

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500244
		(b) V_n_obs (Total # of runs) = 499716
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.401468
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.570197

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500290
		(b) V_n_obs (Total # of runs) = 500200
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.283081
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.688909

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499159
		(b) V_n_obs (Total # of runs) = 499579
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.593385
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.401372

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500821
		(b) V_n_obs (Total # of runs) = 499525
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.669847
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.343483

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500314
		(b) V_n_obs (Total # of runs) = 500560
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.792239
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.262546

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500120
		(b) V_n_obs (Total # of runs) = 500276
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.390364
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.580909

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499713
		(b) V_n_obs (Total # of runs) = 500096
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.135998
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.847484

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499714
		(b) V_n_obs (Total # of runs) = 499855
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.204830
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.772066

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500192
		(b) V_n_obs (Total # of runs) = 499840
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.226170
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.749080

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500510
		(b) V_n_obs (Total # of runs) = 500559
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.791282
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.263122

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499596
		(b) V_n_obs (Total # of runs) = 499888
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.157930
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.823265

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500473
		(b) V_n_obs (Total # of runs) = 500067
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.095385
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.892695

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501213
		(b) V_n_obs (Total # of runs) = 500410
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.583993
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.408866

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500251
		(b) V_n_obs (Total # of runs) = 500659
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.932145
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.187419

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500625
		(b) V_n_obs (Total # of runs) = 499513
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.687618
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.330832

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499678
		(b) V_n_obs (Total # of runs) = 499899
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.142542
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.840241

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499874
		(b) V_n_obs (Total # of runs) = 499570
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.608067
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.389824

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500540
		(b) V_n_obs (Total # of runs) = 500087
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.123861
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.860949

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500131
		(b) V_n_obs (Total # of runs) = 499918
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.115917
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.869785

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500158
		(b) V_n_obs (Total # of runs) = 499476
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.740977
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.294685

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499232
		(b) V_n_obs (Total # of runs) = 499962
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.052072
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.941296

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499640
		(b) V_n_obs (Total # of runs) = 500043
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.061178
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.931054

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499638
		(b) V_n_obs (Total # of runs) = 499711
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.408337
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.563618

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500203
		(b) V_n_obs (Total # of runs) = 499655
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.487787
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.490298

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500506
		(b) V_n_obs (Total # of runs) = 500185
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.262354
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.710619

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499530
		(b) V_n_obs (Total # of runs) = 500120
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.170331
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.809645

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499995
		(b) V_n_obs (Total # of runs) = 500343
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.485075
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.492713

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498576
		(b) V_n_obs (Total # of runs) = 499362
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.896540
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.204834

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500410
		(b) V_n_obs (Total # of runs) = 500025
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.035831
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.959587

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500221
		(b) V_n_obs (Total # of runs) = 500326
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.461172
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.514275

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499620
		(b) V_n_obs (Total # of runs) = 499743
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.363045
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.607656

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500896
		(b) V_n_obs (Total # of runs) = 499895
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.146222
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.836174

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500363
		(b) V_n_obs (Total # of runs) = 500444
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.628284
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.374257

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499529
		(b) V_n_obs (Total # of runs) = 499479
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.736178
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.297823

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500423
		(b) V_n_obs (Total # of runs) = 500357
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.505381
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.474784

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499739
		(b) V_n_obs (Total # of runs) = 500542
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.766697
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.278244

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499904
		(b) V_n_obs (Total # of runs) = 499286
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.009722
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.153302

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500729
		(b) V_n_obs (Total # of runs) = 500075
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.107569
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.879087

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501009
		(b) V_n_obs (Total # of runs) = 499760
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.336533
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.634125

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499831
		(b) V_n_obs (Total # of runs) = 499568
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.610860
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.387651

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500501
		(b) V_n_obs (Total # of runs) = 499870
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.183138
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.795638

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500669
		(b) V_n_obs (Total # of runs) = 499748
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.355117
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.615519

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499271
		(b) V_n_obs (Total # of runs) = 500218
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.309802
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.661294

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499973
		(b) V_n_obs (Total # of runs) = 499761
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.337995
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.632652

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500817
		(b) V_n_obs (Total # of runs) = 499594
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.572284
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.418324

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499742
		(b) V_n_obs (Total # of runs) = 500231
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.326872
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.643890

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500273
		(b) V_n_obs (Total # of runs) = 500372
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.526298
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.456696

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500242
		(b) V_n_obs (Total # of runs) = 500640
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.905263
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.200463

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499039
		(b) V_n_obs (Total # of runs) = 500486
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.689922
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.329214

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500196
		(b) V_n_obs (Total # of runs) = 500644
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.910862
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.197692

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499858
		(b) V_n_obs (Total # of runs) = 499399
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.849885
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.229395

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499928
		(b) V_n_obs (Total # of runs) = 500306
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.432764
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.540524

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499803
		(b) V_n_obs (Total # of runs) = 500187
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.264568
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.708289

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500738
		(b) V_n_obs (Total # of runs) = 500256
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.363580
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.607126

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499892
		(b) V_n_obs (Total # of runs) = 499014
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.394382
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.048615

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499999
		(b) V_n_obs (Total # of runs) = 499904
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.135764
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.847742

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500046
		(b) V_n_obs (Total # of runs) = 500847
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.197845
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.090264

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500188
		(b) V_n_obs (Total # of runs) = 500241
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.340925
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.629705

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499510
		(b) V_n_obs (Total # of runs) = 500068
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.096846
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.891062

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499625
		(b) V_n_obs (Total # of runs) = 499692
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.435180
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.538266

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499368
		(b) V_n_obs (Total # of runs) = 499862
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.194032
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.783775

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499312
		(b) V_n_obs (Total # of runs) = 499698
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.425754
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.547102

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499337
		(b) V_n_obs (Total # of runs) = 499859
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.198161
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.779292

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499962
		(b) V_n_obs (Total # of runs) = 500739
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.045108
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.139406

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499812
		(b) V_n_obs (Total # of runs) = 500277
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.391837
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.579482

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500169
		(b) V_n_obs (Total # of runs) = 500264
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.373433
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.597420

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500272
		(b) V_n_obs (Total # of runs) = 499297
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.993983
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.159812

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500548
		(b) V_n_obs (Total # of runs) = 499714
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.403616
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.568136

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499203
		(b) V_n_obs (Total # of runs) = 500380
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.539199
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.445736

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500401
		(b) V_n_obs (Total # of runs) = 499134
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.224255
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.083388

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500678
		(b) V_n_obs (Total # of runs) = 500311
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.441121
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.532733

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499967
		(b) V_n_obs (Total # of runs) = 500118
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.166880
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.813429

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499843
		(b) V_n_obs (Total # of runs) = 499880
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.169636
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.810407

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499378
		(b) V_n_obs (Total # of runs) = 499735
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.373673
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.597185

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500042
		(b) V_n_obs (Total # of runs) = 500207
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.292747
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.678869

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499621
		(b) V_n_obs (Total # of runs) = 500155
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.219610
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.756124

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501570
		(b) V_n_obs (Total # of runs) = 499793
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.285773
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.686107

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499969
		(b) V_n_obs (Total # of runs) = 500226
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.319615
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.651266

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499410
		(b) V_n_obs (Total # of runs) = 499799
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.283273
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.688709

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500383
		(b) V_n_obs (Total # of runs) = 499222
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.099844
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.119847

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500659
		(b) V_n_obs (Total # of runs) = 500207
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.293971
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.677602

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500335
		(b) V_n_obs (Total # of runs) = 498650
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.908872
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.006943

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500448
		(b) V_n_obs (Total # of runs) = 500790
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.117797
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.113923

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499927
		(b) V_n_obs (Total # of runs) = 500329
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.465291
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.510524

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500781
		(b) V_n_obs (Total # of runs) = 500165
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.235071
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.739557

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499869
		(b) V_n_obs (Total # of runs) = 500428
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.605332
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.391960

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500304
		(b) V_n_obs (Total # of runs) = 499803
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.278339
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.693854

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499299
		(b) V_n_obs (Total # of runs) = 499210
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.115841
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.114557

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499034
		(b) V_n_obs (Total # of runs) = 500143
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.204873
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.772020

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499609
		(b) V_n_obs (Total # of runs) = 499452
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.774557
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.273346

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501293
		(b) V_n_obs (Total # of runs) = 500656
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.932459
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.187271

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500467
		(b) V_n_obs (Total # of runs) = 500045
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.064257
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.927594

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499810
		(b) V_n_obs (Total # of runs) = 500229
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.323957
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.646849

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499198
		(b) V_n_obs (Total # of runs) = 499850
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.210313
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.766140

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500136
		(b) V_n_obs (Total # of runs) = 499903
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.137126
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.846234

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500336
		(b) V_n_obs (Total # of runs) = 499186
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.150851
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.103621

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500604
		(b) V_n_obs (Total # of runs) = 499347
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.922451
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.192049

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500014
		(b) V_n_obs (Total # of runs) = 499642
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.506288
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.473992

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500205
		(b) V_n_obs (Total # of runs) = 500089
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.125984
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.858591

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500438
		(b) V_n_obs (Total # of runs) = 499471
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.747577
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.290405

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500342
		(b) V_n_obs (Total # of runs) = 500362
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.512276
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.468778

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499522
		(b) V_n_obs (Total # of runs) = 500159
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.225506
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.749792

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498932
		(b) V_n_obs (Total # of runs) = 499271
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.027740
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.146100

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500166
		(b) V_n_obs (Total # of runs) = 500091
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.128771
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.855496

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500785
		(b) V_n_obs (Total # of runs) = 500813
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.151501
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.103425

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500186
		(b) V_n_obs (Total # of runs) = 500244
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.345166
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.625452

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500412
		(b) V_n_obs (Total # of runs) = 500480
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.679303
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.336713

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499211
		(b) V_n_obs (Total # of runs) = 500269
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.382185
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.588858

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499974
		(b) V_n_obs (Total # of runs) = 500321
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.453964
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.520871

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500085
		(b) V_n_obs (Total # of runs) = 499754
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.347876
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.622740

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500223
		(b) V_n_obs (Total # of runs) = 500301
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.425819
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.547042

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499491
		(b) V_n_obs (Total # of runs) = 500326
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.461767
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.513732

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499894
		(b) V_n_obs (Total # of runs) = 499097
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.277003
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.070925

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499878
		(b) V_n_obs (Total # of runs) = 500656
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.927766
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.189500

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499857
		(b) V_n_obs (Total # of runs) = 500191
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.270173
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.702401

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498997
		(b) V_n_obs (Total # of runs) = 499457
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.765076
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.279261

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499858
		(b) V_n_obs (Total # of runs) = 499081
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.299605
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.066074

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499119
		(b) V_n_obs (Total # of runs) = 499993
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007704
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.991307

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501175
		(b) V_n_obs (Total # of runs) = 499742
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.360964
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.609715

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500523
		(b) V_n_obs (Total # of runs) = 500454
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.642827
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.363300

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499718
		(b) V_n_obs (Total # of runs) = 499286
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.009524
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.153383

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499658
		(b) V_n_obs (Total # of runs) = 499227
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.092857
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.122217

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500371
		(b) V_n_obs (Total # of runs) = 500723
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.022866
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.148023

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500704
		(b) V_n_obs (Total # of runs) = 499114
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.251594
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.076724

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499039
		(b) V_n_obs (Total # of runs) = 499788
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.297202
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.674261

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500367
		(b) V_n_obs (Total # of runs) = 499471
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.747738
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.290301

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500054
		(b) V_n_obs (Total # of runs) = 499963
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.052318
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.941020

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498812
		(b) V_n_obs (Total # of runs) = 500403
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.573923
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.416993

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499425
		(b) V_n_obs (Total # of runs) = 500650
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.920175
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.193147

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500226
		(b) V_n_obs (Total # of runs) = 500528
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.746849
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.290875

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499892
		(b) V_n_obs (Total # of runs) = 500024
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.033974
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.961679

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499925
		(b) V_n_obs (Total # of runs) = 500380
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.537417
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.447241

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499805
		(b) V_n_obs (Total # of runs) = 499936
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.090402
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.898269

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500207
		(b) V_n_obs (Total # of runs) = 499806
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.274236
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.698143

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498756
		(b) V_n_obs (Total # of runs) = 500225
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.322577
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.648251

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500190
		(b) V_n_obs (Total # of runs) = 500433
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.612457
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.386411

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501187
		(b) V_n_obs (Total # of runs) = 499609
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.548975
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.437531

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499355
		(b) V_n_obs (Total # of runs) = 499621
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.534811
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.449447

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500776
		(b) V_n_obs (Total # of runs) = 500229
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.325559
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.645222

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500345
		(b) V_n_obs (Total # of runs) = 499918
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.115629
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.870106

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500858
		(b) V_n_obs (Total # of runs) = 500478
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.678078
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.337585

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499841
		(b) V_n_obs (Total # of runs) = 501203
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.701371
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.016124

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499453
		(b) V_n_obs (Total # of runs) = 499830
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.239570
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.734758

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499718
		(b) V_n_obs (Total # of runs) = 500181
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.256198
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.717114

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500060
		(b) V_n_obs (Total # of runs) = 499580
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.593960
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.400916

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500184
		(b) V_n_obs (Total # of runs) = 499903
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.137083
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.846282

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499838
		(b) V_n_obs (Total # of runs) = 499239
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.076142
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.128035

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500217
		(b) V_n_obs (Total # of runs) = 500081
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.114685
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.871158

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499951
		(b) V_n_obs (Total # of runs) = 499847
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.216368
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.759612

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500123
		(b) V_n_obs (Total # of runs) = 499967
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.046626
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.947426

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498974
		(b) V_n_obs (Total # of runs) = 500049
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.072274
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.918589

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500258
		(b) V_n_obs (Total # of runs) = 500736
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.041050
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.140949

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500511
		(b) V_n_obs (Total # of runs) = 500591
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.836540
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.236791

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499694
		(b) V_n_obs (Total # of runs) = 499672
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.463597
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.512065

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500421
		(b) V_n_obs (Total # of runs) = 499211
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.115314
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.114728

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500030
		(b) V_n_obs (Total # of runs) = 499231
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.087528
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.124049

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499805
		(b) V_n_obs (Total # of runs) = 500375
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.530438
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.453163

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500287
		(b) V_n_obs (Total # of runs) = 499507
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.696975
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.324295

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500582
		(b) V_n_obs (Total # of runs) = 499966
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.047125
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.946864

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500886
		(b) V_n_obs (Total # of runs) = 499958
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.057177
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.935553

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499186
		(b) V_n_obs (Total # of runs) = 500693
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.981927
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.164938

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499306
		(b) V_n_obs (Total # of runs) = 498967
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.459523
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.039010

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499969
		(b) V_n_obs (Total # of runs) = 499137
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.220464
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.084348

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501001
		(b) V_n_obs (Total # of runs) = 500227
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.323862
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.646945

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499542
		(b) V_n_obs (Total # of runs) = 499808
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.270936
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.701600

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500497
		(b) V_n_obs (Total # of runs) = 499324
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.955311
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.176691

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500039
		(b) V_n_obs (Total # of runs) = 500579
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.818834
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.246862

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500213
		(b) V_n_obs (Total # of runs) = 500551
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.779360
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.270383

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499912
		(b) V_n_obs (Total # of runs) = 500317
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.448328
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.526061

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500256
		(b) V_n_obs (Total # of runs) = 499847
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.216189
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.759804

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500141
		(b) V_n_obs (Total # of runs) = 499287
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.008278
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.153891

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499418
		(b) V_n_obs (Total # of runs) = 500596
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.843830
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.232730

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500092
		(b) V_n_obs (Total # of runs) = 500485
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.685918
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.332030

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499967
		(b) V_n_obs (Total # of runs) = 500040
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.056572
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.936234

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499956
		(b) V_n_obs (Total # of runs) = 499409
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.835795
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.237209

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500818
		(b) V_n_obs (Total # of runs) = 499553
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.630263
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.372754

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500775
		(b) V_n_obs (Total # of runs) = 499966
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.046385
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.947698

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500550
		(b) V_n_obs (Total # of runs) = 499947
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.074098
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.916542

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499333
		(b) V_n_obs (Total # of runs) = 500451
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.639070
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.366111

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500820
		(b) V_n_obs (Total # of runs) = 500821
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.162974
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.100033

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499594
		(b) V_n_obs (Total # of runs) = 500057
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.081076
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.908715

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499683
		(b) V_n_obs (Total # of runs) = 500961
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.359344
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.054555

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499924
		(b) V_n_obs (Total # of runs) = 500418
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.591158
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.403142

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499906
		(b) V_n_obs (Total # of runs) = 499083
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.296809
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.066659

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500059
		(b) V_n_obs (Total # of runs) = 499691
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.436982
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.536585

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499222
		(b) V_n_obs (Total # of runs) = 499863
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.192036
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.785945

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500283
		(b) V_n_obs (Total # of runs) = 499304
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.984066
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.164019

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500390
		(b) V_n_obs (Total # of runs) = 499852
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.208874
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.767695

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499970
		(b) V_n_obs (Total # of runs) = 500292
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.412953
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.559218

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499988
		(b) V_n_obs (Total # of runs) = 500133
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.188091
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.790239

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499507
		(b) V_n_obs (Total # of runs) = 501066
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.508241
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.032927

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499834
		(b) V_n_obs (Total # of runs) = 500109
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.154227
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.827343

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500727
		(b) V_n_obs (Total # of runs) = 499409
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.834307
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.238045

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499207
		(b) V_n_obs (Total # of runs) = 499819
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.254195
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.719232

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499172
		(b) V_n_obs (Total # of runs) = 500323
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.458731
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.516504

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499407
		(b) V_n_obs (Total # of runs) = 500165
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.234340
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.740337

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499482
		(b) V_n_obs (Total # of runs) = 499569
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.608768
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.389278

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500441
		(b) V_n_obs (Total # of runs) = 499807
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.272393
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.700073

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500051
		(b) V_n_obs (Total # of runs) = 499663
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.476583
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.500318

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499235
		(b) V_n_obs (Total # of runs) = 500300
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.425920
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.546946

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500094
		(b) V_n_obs (Total # of runs) = 500155
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.219228
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.756534

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499559
		(b) V_n_obs (Total # of runs) = 499501
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.705143
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.318656

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499997
		(b) V_n_obs (Total # of runs) = 499476
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.741048
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.294639

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500070
		(b) V_n_obs (Total # of runs) = 500279
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.394579
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.576831

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499089
		(b) V_n_obs (Total # of runs) = 500750
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.063011
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.132755

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500316
		(b) V_n_obs (Total # of runs) = 500016
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.022910
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.974154

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500699
		(b) V_n_obs (Total # of runs) = 499813
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.263076
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.709858

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500020
		(b) V_n_obs (Total # of runs) = 499522
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.675993
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.339073

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500333
		(b) V_n_obs (Total # of runs) = 499994
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.008172
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.990779

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499656
		(b) V_n_obs (Total # of runs) = 500012
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.017305
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.980475

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500332
		(b) V_n_obs (Total # of runs) = 499503
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.702553
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.320437

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499527
		(b) V_n_obs (Total # of runs) = 500134
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.190138
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.788010

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499860
		(b) V_n_obs (Total # of runs) = 499457
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.767863
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.277514

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500106
		(b) V_n_obs (Total # of runs) = 500413
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.584102
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.408779

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499333
		(b) V_n_obs (Total # of runs) = 500428
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.606543
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.391013

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499658
		(b) V_n_obs (Total # of runs) = 499777
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.315039
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.655935

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499729
		(b) V_n_obs (Total # of runs) = 499385
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.869534
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.218807

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500431
		(b) V_n_obs (Total # of runs) = 499716
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.401112
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.570539

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500765
		(b) V_n_obs (Total # of runs) = 500232
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.329754
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.640971

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499345
		(b) V_n_obs (Total # of runs) = 500664
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.940253
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.183611

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499293
		(b) V_n_obs (Total # of runs) = 499555
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.627913
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.374539

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500136
		(b) V_n_obs (Total # of runs) = 500691
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.977274
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.166949

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499572
		(b) V_n_obs (Total # of runs) = 499825
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.246969
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.726888

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500276
		(b) V_n_obs (Total # of runs) = 499574
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.602240
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.394383

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499251
		(b) V_n_obs (Total # of runs) = 499976
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.032354
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.963505

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499947
		(b) V_n_obs (Total # of runs) = 499628
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.526080
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.456883

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499908
		(b) V_n_obs (Total # of runs) = 500293
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.414389
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.557853

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499516
		(b) V_n_obs (Total # of runs) = 500602
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.852020
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.228227

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498747
		(b) V_n_obs (Total # of runs) = 499716
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.397198
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.574304

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499941
		(b) V_n_obs (Total # of runs) = 500446
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.630749
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.372385

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500533
		(b) V_n_obs (Total # of runs) = 499769
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.325880
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.644896

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500066
		(b) V_n_obs (Total # of runs) = 499882
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.166865
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.813446

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500928
		(b) V_n_obs (Total # of runs) = 498561
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.032625
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.004046

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500695
		(b) V_n_obs (Total # of runs) = 499793
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.291377
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.680289

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500286
		(b) V_n_obs (Total # of runs) = 500317
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.448537
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.525867

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500280
		(b) V_n_obs (Total # of runs) = 500292
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.413172
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.559009

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500653
		(b) V_n_obs (Total # of runs) = 499200
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.130167
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.109977

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500039
		(b) V_n_obs (Total # of runs) = 499100
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.272788
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.071862

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500722
		(b) V_n_obs (Total # of runs) = 500299
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.424325
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.548449

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500074
		(b) V_n_obs (Total # of runs) = 498763
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.749367
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.013362

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500123
		(b) V_n_obs (Total # of runs) = 500683
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.965951
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.171920

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500201
		(b) V_n_obs (Total # of runs) = 500278
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.393266
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.578100

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499952
		(b) V_n_obs (Total # of runs) = 500726
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.026726
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.146499

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499796
		(b) V_n_obs (Total # of runs) = 499342
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.930435
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.188230

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500522
		(b) V_n_obs (Total # of runs) = 499457
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.767148
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.277961

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500319
		(b) V_n_obs (Total # of runs) = 499421
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.818542
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.247030

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500669
		(b) V_n_obs (Total # of runs) = 499208
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.118793
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.113601

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500049
		(b) V_n_obs (Total # of runs) = 499679
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.453956
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.520879

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500322
		(b) V_n_obs (Total # of runs) = 501219
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.724220
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.014752

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500396
		(b) V_n_obs (Total # of runs) = 499985
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.020770
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.976567

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499821
		(b) V_n_obs (Total # of runs) = 500510
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.721340
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.307668

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501726
		(b) V_n_obs (Total # of runs) = 501125
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.599435
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.023701

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499978
		(b) V_n_obs (Total # of runs) = 499677
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.456790
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.518281

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500972
		(b) V_n_obs (Total # of runs) = 500123
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.176621
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.802757

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500131
		(b) V_n_obs (Total # of runs) = 500275
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.388957
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.582272

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499995
		(b) V_n_obs (Total # of runs) = 501123
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.588162
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.024704

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500523
		(b) V_n_obs (Total # of runs) = 499957
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.060038
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.932336

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500044
		(b) V_n_obs (Total # of runs) = 499369
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.892363
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.206952

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500777
		(b) V_n_obs (Total # of runs) = 500644
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.912463
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.196906

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499471
		(b) V_n_obs (Total # of runs) = 499705
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.416402
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.555941

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499238
		(b) V_n_obs (Total # of runs) = 500481
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.681881
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.334883

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499290
		(b) V_n_obs (Total # of runs) = 499496
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.711339
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.314422

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500475
		(b) V_n_obs (Total # of runs) = 500005
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007709
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.991301

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499393
		(b) V_n_obs (Total # of runs) = 500417
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.590770
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.403450

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499508
		(b) V_n_obs (Total # of runs) = 499823
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.249631
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.724064

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499475
		(b) V_n_obs (Total # of runs) = 499673
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.461669
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.513822

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499826
		(b) V_n_obs (Total # of runs) = 499182
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.156741
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.101865

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499480
		(b) V_n_obs (Total # of runs) = 499961
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.054390
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.938688

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499364
		(b) V_n_obs (Total # of runs) = 500432
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.612085
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.386699

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500012
		(b) V_n_obs (Total # of runs) = 499928
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.101823
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.885501

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499528
		(b) V_n_obs (Total # of runs) = 500095
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.134981
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.848611

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499390
		(b) V_n_obs (Total # of runs) = 499921
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.110671
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.875630

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499765
		(b) V_n_obs (Total # of runs) = 500297
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.420178
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.552364

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500970
		(b) V_n_obs (Total # of runs) = 500367
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.521680
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.460656

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500125
		(b) V_n_obs (Total # of runs) = 500525
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.742506
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.293689

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500203
		(b) V_n_obs (Total # of runs) = 499339
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.934679
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.186223

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499945
		(b) V_n_obs (Total # of runs) = 500506
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.715601
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.311532

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499903
		(b) V_n_obs (Total # of runs) = 500591
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.835827
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.237191

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499828
		(b) V_n_obs (Total # of runs) = 499598
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.568430
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.421465

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500262
		(b) V_n_obs (Total # of runs) = 499897
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.145470
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.837005

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499506
		(b) V_n_obs (Total # of runs) = 500653
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.924173
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.191220

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499348
		(b) V_n_obs (Total # of runs) = 498962
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.466754
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.038051

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499806
		(b) V_n_obs (Total # of runs) = 500136
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.192440
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.785506

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499818
		(b) V_n_obs (Total # of runs) = 501073
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.517545
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.031862

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500401
		(b) V_n_obs (Total # of runs) = 500558
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.789586
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.264147

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499883
		(b) V_n_obs (Total # of runs) = 500848
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.199292
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.089875

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499975
		(b) V_n_obs (Total # of runs) = 499666
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.472346
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.504135

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500033
		(b) V_n_obs (Total # of runs) = 500450
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.636399
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.368118

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500540
		(b) V_n_obs (Total # of runs) = 500775
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.096842
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.120861

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499830
		(b) V_n_obs (Total # of runs) = 499706
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.415697
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.556610

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500353
		(b) V_n_obs (Total # of runs) = 500409
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.578766
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.413072

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500493
		(b) V_n_obs (Total # of runs) = 500640
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.905785
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.200203

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500291
		(b) V_n_obs (Total # of runs) = 500459
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.649364
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.358441

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499680
		(b) V_n_obs (Total # of runs) = 499620
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.537112
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.447499

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500135
		(b) V_n_obs (Total # of runs) = 499645
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.501994
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.477749

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499781
		(b) V_n_obs (Total # of runs) = 499563
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.617876
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.382223

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500318
		(b) V_n_obs (Total # of runs) = 499545
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.643181
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.363036

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500240
		(b) V_n_obs (Total # of runs) = 500056
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.079359
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.910641

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499521
		(b) V_n_obs (Total # of runs) = 499543
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.645647
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.361199

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499662
		(b) V_n_obs (Total # of runs) = 499650
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.494652
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.484213

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499393
		(b) V_n_obs (Total # of runs) = 499530
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.663639
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.347973

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499884
		(b) V_n_obs (Total # of runs) = 499798
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.285633
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.686252

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500471
		(b) V_n_obs (Total # of runs) = 500483
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.683693
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.333600

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499452
		(b) V_n_obs (Total # of runs) = 501218
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.723364
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.014801

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500353
		(b) V_n_obs (Total # of runs) = 500592
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.837567
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.236216

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500158
		(b) V_n_obs (Total # of runs) = 499490
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.721178
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.307776

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499946
		(b) V_n_obs (Total # of runs) = 499776
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.316776
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.654162

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500473
		(b) V_n_obs (Total # of runs) = 501078
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.525156
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.031014

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499964
		(b) V_n_obs (Total # of runs) = 499893
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.151317
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.830551

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500177
		(b) V_n_obs (Total # of runs) = 499943
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.080522
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.909337

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499915
		(b) V_n_obs (Total # of runs) = 499283
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.013971
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.151580

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499930
		(b) V_n_obs (Total # of runs) = 498409
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.250000
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.001463

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499364
		(b) V_n_obs (Total # of runs) = 499766
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.329782
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.640942

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500329
		(b) V_n_obs (Total # of runs) = 500423
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.598519
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.397311

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499866
		(b) V_n_obs (Total # of runs) = 500239
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.338048
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.632599

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499640
		(b) V_n_obs (Total # of runs) = 499695
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.430969
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.542205

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500918
		(b) V_n_obs (Total # of runs) = 500753
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.067290
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.131203

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499671
		(b) V_n_obs (Total # of runs) = 500703
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.994499
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.159595

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499848
		(b) V_n_obs (Total # of runs) = 500052
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.073604
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.917096

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500520
		(b) V_n_obs (Total # of runs) = 500126
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.178956
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.800205

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500396
		(b) V_n_obs (Total # of runs) = 499903
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.136735
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.846667

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499298
		(b) V_n_obs (Total # of runs) = 499410
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.832994
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.238784

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500462
		(b) V_n_obs (Total # of runs) = 501011
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.430375
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.043088

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500196
		(b) V_n_obs (Total # of runs) = 500297
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.420130
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.552409

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499349
		(b) V_n_obs (Total # of runs) = 499798
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.284473
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.687459

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500313
		(b) V_n_obs (Total # of runs) = 500060
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.085130
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.904173

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500708
		(b) V_n_obs (Total # of runs) = 500305
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.432754
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.540534

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500469
		(b) V_n_obs (Total # of runs) = 500145
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.205683
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.771143

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499506
		(b) V_n_obs (Total # of runs) = 500752
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.064180
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.132330

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499664
		(b) V_n_obs (Total # of runs) = 499792
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.293837
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.677740

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500575
		(b) V_n_obs (Total # of runs) = 499319
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.962146
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.173615

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500240
		(b) V_n_obs (Total # of runs) = 500489
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.691714
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.327960

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499629
		(b) V_n_obs (Total # of runs) = 500410
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.580217
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.411902

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500610
		(b) V_n_obs (Total # of runs) = 500804
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.138082
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.107509

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501015
		(b) V_n_obs (Total # of runs) = 500107
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.154235
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.827334

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499355
		(b) V_n_obs (Total # of runs) = 500594
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.841221
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.234178

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500037
		(b) V_n_obs (Total # of runs) = 499996
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.005653
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.993621

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499685
		(b) V_n_obs (Total # of runs) = 500478
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.676275
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.338872

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499499
		(b) V_n_obs (Total # of runs) = 499928
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.101114
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.886293

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500130
		(b) V_n_obs (Total # of runs) = 499258
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.049299
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.137827

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500618
		(b) V_n_obs (Total # of runs) = 499838
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.228023
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.747095

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499820
		(b) V_n_obs (Total # of runs) = 499246
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.066226
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.131588

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499674
		(b) V_n_obs (Total # of runs) = 500341
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.482548
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.494970

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500001
		(b) V_n_obs (Total # of runs) = 500190
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.268701
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.703945

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499823
		(b) V_n_obs (Total # of runs) = 499424
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.814499
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.249373

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499081
		(b) V_n_obs (Total # of runs) = 500199
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.283818
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.688141

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499859
		(b) V_n_obs (Total # of runs) = 500715
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.011219
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.152694

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500383
		(b) V_n_obs (Total # of runs) = 499671
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.464862
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.510915

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499799
		(b) V_n_obs (Total # of runs) = 500470
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.664795
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.347135

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500093
		(b) V_n_obs (Total # of runs) = 500592
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.837239
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.236399

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499550
		(b) V_n_obs (Total # of runs) = 500196
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.277759
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.694460

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499593
		(b) V_n_obs (Total # of runs) = 499902
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.138124
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.845129

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499807
		(b) V_n_obs (Total # of runs) = 499539
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.651847
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.356606

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500307
		(b) V_n_obs (Total # of runs) = 500611
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.864351
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.221565

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500543
		(b) V_n_obs (Total # of runs) = 500076
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.108314
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.878257

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499658
		(b) V_n_obs (Total # of runs) = 499458
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.766173
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.278572

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500622
		(b) V_n_obs (Total # of runs) = 499886
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.160126
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.820849

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499419
		(b) V_n_obs (Total # of runs) = 499707
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.413410
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.558783

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498929
		(b) V_n_obs (Total # of runs) = 500276
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.393569
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.577807

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500032
		(b) V_n_obs (Total # of runs) = 500212
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.299816
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.671563

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499974
		(b) V_n_obs (Total # of runs) = 499303
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.985705
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.163318

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499723
		(b) V_n_obs (Total # of runs) = 500700
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.990167
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.161421

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500091
		(b) V_n_obs (Total # of runs) = 499534
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.659000
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.351354

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499473
		(b) V_n_obs (Total # of runs) = 499729
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.382467
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.588584

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500564
		(b) V_n_obs (Total # of runs) = 499544
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.643982
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.362438

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500767
		(b) V_n_obs (Total # of runs) = 499636
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.513111
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.468054

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499576
		(b) V_n_obs (Total # of runs) = 499609
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.552449
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.434637

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499969
		(b) V_n_obs (Total # of runs) = 499985
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.021210
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.976070

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500157
		(b) V_n_obs (Total # of runs) = 500133
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.188160
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.790163

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499420
		(b) V_n_obs (Total # of runs) = 499674
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.460083
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.515269

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499948
		(b) V_n_obs (Total # of runs) = 499770
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.325261
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.645524

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500308
		(b) V_n_obs (Total # of runs) = 500444
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.628179
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.374336

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499820
		(b) V_n_obs (Total # of runs) = 499842
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.223354
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.752101

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500253
		(b) V_n_obs (Total # of runs) = 499922
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.110128
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.876235

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500508
		(b) V_n_obs (Total # of runs) = 500303
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.429237
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.543829

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499150
		(b) V_n_obs (Total # of runs) = 499743
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.361410
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.609273

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499775
		(b) V_n_obs (Total # of runs) = 500282
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.398951
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.572616

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500626
		(b) V_n_obs (Total # of runs) = 500077
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.110003
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.876374

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500561
		(b) V_n_obs (Total # of runs) = 500446
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.631630
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.371718

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500281
		(b) V_n_obs (Total # of runs) = 500163
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.230740
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.744185

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499099
		(b) V_n_obs (Total # of runs) = 500310
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.440704
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.533121

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499992
		(b) V_n_obs (Total # of runs) = 500012
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.016971
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.980852

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500169
		(b) V_n_obs (Total # of runs) = 499725
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.388828
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.582398

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500456
		(b) V_n_obs (Total # of runs) = 500383
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.542232
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.443181

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499601
		(b) V_n_obs (Total # of runs) = 499953
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.066018
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.925615

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499201
		(b) V_n_obs (Total # of runs) = 499445
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.783085
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.268100

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500150
		(b) V_n_obs (Total # of runs) = 500814
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.151234
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.103506

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500392
		(b) V_n_obs (Total # of runs) = 499366
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.896177
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.205017

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499968
		(b) V_n_obs (Total # of runs) = 499161
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.186522
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.093348

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501310
		(b) V_n_obs (Total # of runs) = 499872
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.176167
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.803255

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500029
		(b) V_n_obs (Total # of runs) = 500161
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.227691
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.747450

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500159
		(b) V_n_obs (Total # of runs) = 499972
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.039526
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.955422

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499075
		(b) V_n_obs (Total # of runs) = 499059
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.328359
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.060301

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500389
		(b) V_n_obs (Total # of runs) = 499739
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.368682
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.602092

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499792
		(b) V_n_obs (Total # of runs) = 499881
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.168169
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.812015

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500129
		(b) V_n_obs (Total # of runs) = 499671
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.465229
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.510581

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500463
		(b) V_n_obs (Total # of runs) = 499239
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.075611
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.128224

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500688
		(b) V_n_obs (Total # of runs) = 500087
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.124376
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.860377

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500874
		(b) V_n_obs (Total # of runs) = 500588
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.833721
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.238375

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499548
		(b) V_n_obs (Total # of runs) = 500294
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.416357
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.555984

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500011
		(b) V_n_obs (Total # of runs) = 500416
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.588313
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.405409

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499470
		(b) V_n_obs (Total # of runs) = 500019
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.027665
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.968792

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500062
		(b) V_n_obs (Total # of runs) = 499815
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.261619
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.711394

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500558
		(b) V_n_obs (Total # of runs) = 500562
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.795670
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.260484

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500564
		(b) V_n_obs (Total # of runs) = 499726
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.386595
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.584565

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499988
		(b) V_n_obs (Total # of runs) = 499588
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.582656
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.409940

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499754
		(b) V_n_obs (Total # of runs) = 499901
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.139836
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.843234

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499838
		(b) V_n_obs (Total # of runs) = 499844
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.220543
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.755120

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499771
		(b) V_n_obs (Total # of runs) = 499949
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.071977
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.918923

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499530
		(b) V_n_obs (Total # of runs) = 499681
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.450510
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.524049

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500920
		(b) V_n_obs (Total # of runs) = 500271
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.385647
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.585487

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499259
		(b) V_n_obs (Total # of runs) = 500167
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.237727
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.736722

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499836
		(b) V_n_obs (Total # of runs) = 499005
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.407067
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.046603

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499475
		(b) V_n_obs (Total # of runs) = 499398
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.850578
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.229015

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499975
		(b) V_n_obs (Total # of runs) = 499870
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.183846
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.794866

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500527
		(b) V_n_obs (Total # of runs) = 500402
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.569300
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.420755

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500031
		(b) V_n_obs (Total # of runs) = 499282
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.015403
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.151003

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499532
		(b) V_n_obs (Total # of runs) = 500360
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.509737
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.470985

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500154
		(b) V_n_obs (Total # of runs) = 500140
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.198057
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.779405

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499702
		(b) V_n_obs (Total # of runs) = 499762
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.336332
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.634327

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500354
		(b) V_n_obs (Total # of runs) = 499940
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.084498
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.904880

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499332
		(b) V_n_obs (Total # of runs) = 499562
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.618165
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.382000

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499116
		(b) V_n_obs (Total # of runs) = 499993
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007689
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.991324

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500439
		(b) V_n_obs (Total # of runs) = 499864
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.191788
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.786215

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498794
		(b) V_n_obs (Total # of runs) = 499774
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.315500
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.655464

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500087
		(b) V_n_obs (Total # of runs) = 500186
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.263065
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.709870

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500359
		(b) V_n_obs (Total # of runs) = 499699
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.425314
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.547517

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500044
		(b) V_n_obs (Total # of runs) = 500334
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.472353
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.504129

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499479
		(b) V_n_obs (Total # of runs) = 499640
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.508350
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.472193

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499710
		(b) V_n_obs (Total # of runs) = 499905
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.134112
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.849573

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500304
		(b) V_n_obs (Total # of runs) = 499415
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.827054
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.242150

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500092
		(b) V_n_obs (Total # of runs) = 500421
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.595408
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.399769

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499528
		(b) V_n_obs (Total # of runs) = 499511
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.690921
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.328515

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499570
		(b) V_n_obs (Total # of runs) = 499616
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.542535
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.442926

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500403
		(b) V_n_obs (Total # of runs) = 500000
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.000459
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.999482

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500385
		(b) V_n_obs (Total # of runs) = 500577
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.816421
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.248257

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499757
		(b) V_n_obs (Total # of runs) = 499478
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.738053
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.296595

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499999
		(b) V_n_obs (Total # of runs) = 499854
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.206475
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.770287

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498979
		(b) V_n_obs (Total # of runs) = 499842
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.220498
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.755169

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499337
		(b) V_n_obs (Total # of runs) = 500903
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.278280
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.070644

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499381
		(b) V_n_obs (Total # of runs) = 500884
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.251250
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.076805

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500130
		(b) V_n_obs (Total # of runs) = 500023
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.032575
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.963256

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499731
		(b) V_n_obs (Total # of runs) = 500501
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.708726
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.316204

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499658
		(b) V_n_obs (Total # of runs) = 500295
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.417524
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.554877

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500246
		(b) V_n_obs (Total # of runs) = 499897
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.145493
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.836980

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500178
		(b) V_n_obs (Total # of runs) = 499576
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.599537
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.396508

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500322
		(b) V_n_obs (Total # of runs) = 500125
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.177070
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.802267

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499665
		(b) V_n_obs (Total # of runs) = 499802
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.279697
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.692436

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499339
		(b) V_n_obs (Total # of runs) = 500097
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.138415
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.844807

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500002
		(b) V_n_obs (Total # of runs) = 499954
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.065054
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.926698

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499405
		(b) V_n_obs (Total # of runs) = 500316
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.447893
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.526461

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499237
		(b) V_n_obs (Total # of runs) = 500709
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.004326
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.155511

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499790
		(b) V_n_obs (Total # of runs) = 500262
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.370649
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.600156

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500540
		(b) V_n_obs (Total # of runs) = 499913
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.122212
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.862782

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499497
		(b) V_n_obs (Total # of runs) = 499782
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.307583
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.663571

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499534
		(b) V_n_obs (Total # of runs) = 500048
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.068497
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.922831

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499560
		(b) V_n_obs (Total # of runs) = 499975
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.034808
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.960739

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500135
		(b) V_n_obs (Total # of runs) = 499304
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.984241
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.163944

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501136
		(b) V_n_obs (Total # of runs) = 499518
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.678004
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.337638

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499877
		(b) V_n_obs (Total # of runs) = 499993
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.009857
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.988878

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499693
		(b) V_n_obs (Total # of runs) = 500127
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.179872
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.799204

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498819
		(b) V_n_obs (Total # of runs) = 500992
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.406853
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.046636

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499657
		(b) V_n_obs (Total # of runs) = 500053
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.075286
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.915209

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499298
		(b) V_n_obs (Total # of runs) = 500835
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.182265
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.094529

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500315
		(b) V_n_obs (Total # of runs) = 500596
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.843152
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.233105

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499596
		(b) V_n_obs (Total # of runs) = 500039
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.055616
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.937309

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500608
		(b) V_n_obs (Total # of runs) = 499940
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.083807
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.905654

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499551
		(b) V_n_obs (Total # of runs) = 500208
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.294727
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.676820

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500382
		(b) V_n_obs (Total # of runs) = 500432
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.611353
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.387267

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500410
		(b) V_n_obs (Total # of runs) = 500155
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.219679
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.756050

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500685
		(b) V_n_obs (Total # of runs) = 500135
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.192246
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.785716

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499112
		(b) V_n_obs (Total # of runs) = 498780
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.723116
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.014816

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500203
		(b) V_n_obs (Total # of runs) = 501067
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.509083
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.032829

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499705
		(b) V_n_obs (Total # of runs) = 499775
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.317952
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.652961

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499906
		(b) V_n_obs (Total # of runs) = 499843
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.222007
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.753548

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500136
		(b) V_n_obs (Total # of runs) = 500775
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.096068
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.121124

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499825
		(b) V_n_obs (Total # of runs) = 500586
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.828816
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.241148

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500472
		(b) V_n_obs (Total # of runs) = 500204
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.289130
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.682619

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500591
		(b) V_n_obs (Total # of runs) = 499623
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.532171
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.451688

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500189
		(b) V_n_obs (Total # of runs) = 500232
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.328199
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.642545

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500540
		(b) V_n_obs (Total # of runs) = 499349
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.919829
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.193315

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499964
		(b) V_n_obs (Total # of runs) = 499691
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.436988
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.536579

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499694
		(b) V_n_obs (Total # of runs) = 500426
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.602720
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.394006

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499001
		(b) V_n_obs (Total # of runs) = 500897
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.271377
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.072177

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500243
		(b) V_n_obs (Total # of runs) = 500007
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.010067
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.988642

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499707
		(b) V_n_obs (Total # of runs) = 499288
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.006678
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.154546

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499005
		(b) V_n_obs (Total # of runs) = 500047
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.069269
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.921964

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499495
		(b) V_n_obs (Total # of runs) = 499650
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.494254
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.484564

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499903
		(b) V_n_obs (Total # of runs) = 500062
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.087708
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.901285

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501065
		(b) V_n_obs (Total # of runs) = 499779
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.309335
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.661774

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498856
		(b) V_n_obs (Total # of runs) = 500452
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.642930
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.363224

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500466
		(b) V_n_obs (Total # of runs) = 499460
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.763062
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.280529

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500027
		(b) V_n_obs (Total # of runs) = 499988
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.016969
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.980855

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499396
		(b) V_n_obs (Total # of runs) = 500461
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.652985
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.355767

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499943
		(b) V_n_obs (Total # of runs) = 499451
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.776394
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.272210

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499603
		(b) V_n_obs (Total # of runs) = 499438
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.794343
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.261280

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499426
		(b) V_n_obs (Total # of runs) = 500568
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.804206
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.255405

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499922
		(b) V_n_obs (Total # of runs) = 499666
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.472330
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.504149

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500357
		(b) V_n_obs (Total # of runs) = 500121
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.171480
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.808385

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499711
		(b) V_n_obs (Total # of runs) = 500149
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.210954
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.765448

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500274
		(b) V_n_obs (Total # of runs) = 500144
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.203859
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.773117

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500661
		(b) V_n_obs (Total # of runs) = 500512
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.725314
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.305010

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499811
		(b) V_n_obs (Total # of runs) = 500551
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.779333
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.270399

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499979
		(b) V_n_obs (Total # of runs) = 500412
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.582657
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.409939

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500293
		(b) V_n_obs (Total # of runs) = 500414
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.585727
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.407476

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500463
		(b) V_n_obs (Total # of runs) = 499955
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.063033
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.928969

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499906
		(b) V_n_obs (Total # of runs) = 500504
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.712789
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.313437

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499851
		(b) V_n_obs (Total # of runs) = 499998
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.002766
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.996879

