				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499311
		(b) V_n_obs (Total # of runs) = 500520
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.736735
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.297458

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500324
		(b) V_n_obs (Total # of runs) = 499427
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.810048
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.251969

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499651
		(b) V_n_obs (Total # of runs) = 499278
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.020718
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.148876

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500307
		(b) V_n_obs (Total # of runs) = 500362
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.512212
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.468834

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499955
		(b) V_n_obs (Total # of runs) = 500680
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.961671
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.173827

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499428
		(b) V_n_obs (Total # of runs) = 499726
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.386570
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.584590

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500858
		(b) V_n_obs (Total # of runs) = 499871
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.180352
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.798680

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499508
		(b) V_n_obs (Total # of runs) = 499110
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.257967
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.075234

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499190
		(b) V_n_obs (Total # of runs) = 501693
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.396126
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.000702

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499176
		(b) V_n_obs (Total # of runs) = 499251
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.057328
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.134839

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498448
		(b) V_n_obs (Total # of runs) = 499913
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.116225
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.869442

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500870
		(b) V_n_obs (Total # of runs) = 501339
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.895779
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.007339

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499934
		(b) V_n_obs (Total # of runs) = 499659
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.482235
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.495250

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500371
		(b) V_n_obs (Total # of runs) = 500630
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.891344
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.207471

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499551
		(b) V_n_obs (Total # of runs) = 499906
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.132366
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.851509

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500053
		(b) V_n_obs (Total # of runs) = 500166
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.234767
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.739881

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500449
		(b) V_n_obs (Total # of runs) = 499640
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.508547
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.472021

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500189
		(b) V_n_obs (Total # of runs) = 499524
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.673065
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.341169

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500552
		(b) V_n_obs (Total # of runs) = 500148
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.210166
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.766299

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500179
		(b) V_n_obs (Total # of runs) = 500148
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.209394
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.767132

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499423
		(b) V_n_obs (Total # of runs) = 500303
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.429449
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.543630

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499556
		(b) V_n_obs (Total # of runs) = 500378
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.535131
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.449176

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500089
		(b) V_n_obs (Total # of runs) = 500584
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.825923
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.242794

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499426
		(b) V_n_obs (Total # of runs) = 500124
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.176295
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.803115

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500486
		(b) V_n_obs (Total # of runs) = 500223
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.316038
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.654915

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499976
		(b) V_n_obs (Total # of runs) = 499803
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.278598
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.693583

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499782
		(b) V_n_obs (Total # of runs) = 499757
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.343520
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.627102

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499956
		(b) V_n_obs (Total # of runs) = 499863
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.193742
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.784091

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499341
		(b) V_n_obs (Total # of runs) = 499493
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.715779
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.311412

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500145
		(b) V_n_obs (Total # of runs) = 499900
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.141362
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.841546

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499525
		(b) V_n_obs (Total # of runs) = 500200
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.283481
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.688492

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499764
		(b) V_n_obs (Total # of runs) = 500108
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.152893
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.828814

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500310
		(b) V_n_obs (Total # of runs) = 501188
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.680358
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.017483

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500702
		(b) V_n_obs (Total # of runs) = 500468
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.663247
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.348258

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500094
		(b) V_n_obs (Total # of runs) = 500596
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.842896
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.233247

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499792
		(b) V_n_obs (Total # of runs) = 500182
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.257509
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.715729

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499747
		(b) V_n_obs (Total # of runs) = 500722
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.021243
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.148667

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499863
		(b) V_n_obs (Total # of runs) = 500147
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.207942
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.768701

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500228
		(b) V_n_obs (Total # of runs) = 500641
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.906658
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.199770

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499914
		(b) V_n_obs (Total # of runs) = 499288
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.006899
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.154455

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499974
		(b) V_n_obs (Total # of runs) = 500501
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.708523
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.316342

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499910
		(b) V_n_obs (Total # of runs) = 499906
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.132913
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.850902

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499571
		(b) V_n_obs (Total # of runs) = 499412
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.831038
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.239889

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500078
		(b) V_n_obs (Total # of runs) = 500350
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.494992
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.483912

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500389
		(b) V_n_obs (Total # of runs) = 500052
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.073967
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.916689

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501106
		(b) V_n_obs (Total # of runs) = 499798
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.282213
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.689813

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499147
		(b) V_n_obs (Total # of runs) = 501001
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.417690
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.044972

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499139
		(b) V_n_obs (Total # of runs) = 500496
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.703549
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.319752

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500532
		(b) V_n_obs (Total # of runs) = 500149
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.211519
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.764839

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500452
		(b) V_n_obs (Total # of runs) = 501324
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.872998
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.008077

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500883
		(b) V_n_obs (Total # of runs) = 499752
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.348521
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.622095

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499835
		(b) V_n_obs (Total # of runs) = 500679
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.960328
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.174429

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500533
		(b) V_n_obs (Total # of runs) = 499737
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.371135
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.599678

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500258
		(b) V_n_obs (Total # of runs) = 499522
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.675806
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.339207

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500236
		(b) V_n_obs (Total # of runs) = 499871
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.182276
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.796579

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499440
		(b) V_n_obs (Total # of runs) = 499368
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.892897
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.206680

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500432
		(b) V_n_obs (Total # of runs) = 500095
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.134878
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.848724

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499524
		(b) V_n_obs (Total # of runs) = 500074
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.105293
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.881627

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499843
		(b) V_n_obs (Total # of runs) = 500034
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.048153
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.945707

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500642
		(b) V_n_obs (Total # of runs) = 499275
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.024141
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.147518

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500647
		(b) V_n_obs (Total # of runs) = 499702
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.420252
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.552294

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500328
		(b) V_n_obs (Total # of runs) = 500899
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.271683
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.072109

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499284
		(b) V_n_obs (Total # of runs) = 498581
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.005323
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.004569

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499272
		(b) V_n_obs (Total # of runs) = 500129
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.183933
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.794771

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501449
		(b) V_n_obs (Total # of runs) = 500776
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.103378
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.118663

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500519
		(b) V_n_obs (Total # of runs) = 499712
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.406532
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.565343

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499882
		(b) V_n_obs (Total # of runs) = 500015
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.021253
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.976023

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501094
		(b) V_n_obs (Total # of runs) = 499542
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.644328
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.362181

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499822
		(b) V_n_obs (Total # of runs) = 499819
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.255883
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.717447

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499219
		(b) V_n_obs (Total # of runs) = 499260
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.044795
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.139525

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499048
		(b) V_n_obs (Total # of runs) = 500719
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.019387
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.149407

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500344
		(b) V_n_obs (Total # of runs) = 499287
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.008000
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.154005

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500550
		(b) V_n_obs (Total # of runs) = 500102
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.145106
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.837408

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499572
		(b) V_n_obs (Total # of runs) = 500083
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.117898
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.867580

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500499
		(b) V_n_obs (Total # of runs) = 500017
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.024746
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.972083

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499994
		(b) V_n_obs (Total # of runs) = 498782
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.722512
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.014851

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499964
		(b) V_n_obs (Total # of runs) = 499476
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.741044
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.294641

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500537
		(b) V_n_obs (Total # of runs) = 499444
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.785488
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.266634

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500833
		(b) V_n_obs (Total # of runs) = 500080
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.115100
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.870695

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500701
		(b) V_n_obs (Total # of runs) = 499618
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.538841
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.446039

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500361
		(b) V_n_obs (Total # of runs) = 500504
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.713133
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.313204

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499483
		(b) V_n_obs (Total # of runs) = 499959
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.057227
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.935497

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499396
		(b) V_n_obs (Total # of runs) = 500097
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.138211
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.845033

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499676
		(b) V_n_obs (Total # of runs) = 500053
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.075250
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.915249

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500205
		(b) V_n_obs (Total # of runs) = 499726
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.387376
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.583807

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499450
		(b) V_n_obs (Total # of runs) = 499670
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.465835
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.510030

				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                        = 0.500698
		(b) V_n_obs (Total # of runs) = 500112
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.159770
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.821241

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499649
		(b) V_n_obs (Total # of runs) = 498590
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.993694
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.004810

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499484
		(b) V_n_obs (Total # of runs) = 501174
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.661042
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.018820

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499777
		(b) V_n_obs (Total # of runs) = 500189
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.267427
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.705283

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499617
		(b) V_n_obs (Total # of runs) = 500023
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.032942
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.962843

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499670
		(b) V_n_obs (Total # of runs) = 499279
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.019340
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.149425

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500048
		(b) V_n_obs (Total # of runs) = 500518
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.732569
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.300198

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499419
		(b) V_n_obs (Total # of runs) = 500347
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.491688
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.486835

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500031
		(b) V_n_obs (Total # of runs) = 499629
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.524671
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.458090

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499538
		(b) V_n_obs (Total # of runs) = 499976
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.033337
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.962397

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500123
		(b) V_n_obs (Total # of runs) = 499123
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.240223
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.079441

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500425
		(b) V_n_obs (Total # of runs) = 499827
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.244148
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.729886

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500087
		(b) V_n_obs (Total # of runs) = 499428
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.808909
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.252636

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499746
		(b) V_n_obs (Total # of runs) = 500612
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.865681
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.220855

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499795
		(b) V_n_obs (Total # of runs) = 500106
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.150026
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.831976

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499690
		(b) V_n_obs (Total # of runs) = 499870
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.183576
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.795160

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499771
		(b) V_n_obs (Total # of runs) = 499960
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.056420
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.936404

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501000
		(b) V_n_obs (Total # of runs) = 500854
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.210572
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.086895

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499596
		(b) V_n_obs (Total # of runs) = 500048
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.068344
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.923002

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499362
		(b) V_n_obs (Total # of runs) = 499483
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.729998
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.301897

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500759
		(b) V_n_obs (Total # of runs) = 499231
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.085903
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.124612

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499518
		(b) V_n_obs (Total # of runs) = 500814
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.151828
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.103328

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498567
		(b) V_n_obs (Total # of runs) = 499999
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.004394
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.995042

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499170
		(b) V_n_obs (Total # of runs) = 500649
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.919776
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.193341

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500078
		(b) V_n_obs (Total # of runs) = 501524
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.155279
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.002304

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500400
		(b) V_n_obs (Total # of runs) = 499869
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.184810
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.793815

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500648
		(b) V_n_obs (Total # of runs) = 499011
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.397472
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.048118

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500314
		(b) V_n_obs (Total # of runs) = 499814
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.262765
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.710186

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500192
		(b) V_n_obs (Total # of runs) = 499821
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.253040
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.720454

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500355
		(b) V_n_obs (Total # of runs) = 500063
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.089452
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.899333

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499082
		(b) V_n_obs (Total # of runs) = 500533
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.756162
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.284901

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498522
		(b) V_n_obs (Total # of runs) = 499310
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.969637
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.170290

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500163
		(b) V_n_obs (Total # of runs) = 500873
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.234684
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.080792

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500473
		(b) V_n_obs (Total # of runs) = 499849
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.212914
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.763334

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499828
		(b) V_n_obs (Total # of runs) = 500124
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.175446
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.804043

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499778
		(b) V_n_obs (Total # of runs) = 499933
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.094613
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.893558

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500001
		(b) V_n_obs (Total # of runs) = 499547
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.640639
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.364936

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500857
		(b) V_n_obs (Total # of runs) = 500502
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.712015
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.313963

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500140
		(b) V_n_obs (Total # of runs) = 499066
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.320820
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.061773

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500557
		(b) V_n_obs (Total # of runs) = 499228
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.090897
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.122889

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499711
		(b) V_n_obs (Total # of runs) = 500541
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.765326
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.279104

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499521
		(b) V_n_obs (Total # of runs) = 499998
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.002179
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.997541

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499531
		(b) V_n_obs (Total # of runs) = 499712
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.406672
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.565210

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499362
		(b) V_n_obs (Total # of runs) = 500500
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.708259
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.316522

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500171
		(b) V_n_obs (Total # of runs) = 498665
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.887893
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.007588

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500035
		(b) V_n_obs (Total # of runs) = 499068
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.318044
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.062322

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499990
		(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                        = 0.500309
		(b) V_n_obs (Total # of runs) = 500192
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.271799
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.700695

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500300
		(b) V_n_obs (Total # of runs) = 500098
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.138848
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.844328

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499746
		(b) V_n_obs (Total # of runs) = 499948
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.073357
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.917374

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499577
		(b) V_n_obs (Total # of runs) = 500856
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.211074
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.086765

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501037
		(b) V_n_obs (Total # of runs) = 500497
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.705909
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.318131

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499679
		(b) V_n_obs (Total # of runs) = 499521
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.677117
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.338270

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499317
		(b) V_n_obs (Total # of runs) = 499191
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.142781
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.106065

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500778
		(b) V_n_obs (Total # of runs) = 501103
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.561593
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.027215

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499321
		(b) V_n_obs (Total # of runs) = 499874
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.176887
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.802466

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500409
		(b) V_n_obs (Total # of runs) = 500180
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.255032
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.718347

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500964
		(b) V_n_obs (Total # of runs) = 500261
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.371740
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.599083

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500252
		(b) V_n_obs (Total # of runs) = 499596
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.571163
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.419237

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500104
		(b) V_n_obs (Total # of runs) = 500048
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.067913
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.923486

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500845
		(b) V_n_obs (Total # of runs) = 499591
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.576395
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.414989

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500623
		(b) V_n_obs (Total # of runs) = 499183
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.154316
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.102585

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500148
		(b) V_n_obs (Total # of runs) = 500095
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.134412
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.849240

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500406
		(b) V_n_obs (Total # of runs) = 500426
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.602922
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.393848

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499522
		(b) V_n_obs (Total # of runs) = 500591
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.836447
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.236843

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500439
		(b) V_n_obs (Total # of runs) = 499050
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.342959
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.057534

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500027
		(b) V_n_obs (Total # of runs) = 499701
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.422848
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.549842

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500322
		(b) V_n_obs (Total # of runs) = 500022
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.031406
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.964574

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499198
		(b) V_n_obs (Total # of runs) = 500004
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007476
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.991564

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499799
		(b) V_n_obs (Total # of runs) = 499690
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.438292
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.535364

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500004
		(b) V_n_obs (Total # of runs) = 499901
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.140007
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.843045

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500532
		(b) V_n_obs (Total # of runs) = 500399
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.565072
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.424213

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500210
		(b) V_n_obs (Total # of runs) = 500537
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.759558
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.282744

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500185
		(b) V_n_obs (Total # of runs) = 499958
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.059300
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.933165

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499271
		(b) V_n_obs (Total # of runs) = 500885
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.253085
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.076373

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500412
		(b) V_n_obs (Total # of runs) = 499218
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.105436
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.117977

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499379
		(b) V_n_obs (Total # of runs) = 499386
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.867238
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.220026

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499692
		(b) V_n_obs (Total # of runs) = 499465
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.756336
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.284790

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499676
		(b) V_n_obs (Total # of runs) = 500487
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.689019
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.329848

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499743
		(b) V_n_obs (Total # of runs) = 500463
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.654968
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.354309

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499786
		(b) V_n_obs (Total # of runs) = 500232
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.328227
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.642516

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500271
		(b) V_n_obs (Total # of runs) = 500407
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.575793
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.415477

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500468
		(b) V_n_obs (Total # of runs) = 500613
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.867533
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.219869

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500270
		(b) V_n_obs (Total # of runs) = 500075
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.106272
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.880535

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500183
		(b) V_n_obs (Total # of runs) = 500001
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.001509
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.998297

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499955
		(b) V_n_obs (Total # of runs) = 500770
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.088950
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.123558

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499354
		(b) V_n_obs (Total # of runs) = 499239
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.075038
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.128427

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499747
		(b) V_n_obs (Total # of runs) = 500028
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.039779
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.955138

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500108
		(b) V_n_obs (Total # of runs) = 499671
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.465243
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.510568

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500370
		(b) V_n_obs (Total # of runs) = 499818
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.257000
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.716267

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500147
		(b) V_n_obs (Total # of runs) = 500079
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.111784
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.874389

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499848
		(b) V_n_obs (Total # of runs) = 498796
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.702648
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.016044

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500727
		(b) V_n_obs (Total # of runs) = 499984
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.021133
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.976158

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499465
		(b) V_n_obs (Total # of runs) = 499910
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.126470
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.858051

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499769
		(b) V_n_obs (Total # of runs) = 499887
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.159655
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.821367

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499547
		(b) V_n_obs (Total # of runs) = 499961
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.054574
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.938481

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500329
		(b) V_n_obs (Total # of runs) = 500905
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.280170
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.070229

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499652
		(b) V_n_obs (Total # of runs) = 499524
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.672823
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.341342

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500565
		(b) V_n_obs (Total # of runs) = 499283
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.013090
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.151936

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500317
		(b) V_n_obs (Total # of runs) = 499774
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.319328
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.651558

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500440
		(b) V_n_obs (Total # of runs) = 500251
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.355515
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.615123

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500325
		(b) V_n_obs (Total # of runs) = 501119
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.582804
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.025193

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499767
		(b) V_n_obs (Total # of runs) = 500096
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.135918
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.847572

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500867
		(b) V_n_obs (Total # of runs) = 499713
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.403754
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.568003

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499547
		(b) V_n_obs (Total # of runs) = 500853
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.206906
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.087855

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500589
		(b) V_n_obs (Total # of runs) = 500087
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.124018
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.860775

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500812
		(b) V_n_obs (Total # of runs) = 500085
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.122073
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.862936

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501140
		(b) V_n_obs (Total # of runs) = 499702
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.417762
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.554651

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499606
		(b) V_n_obs (Total # of runs) = 499828
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.242806
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.731313

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500135
		(b) V_n_obs (Total # of runs) = 500006
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.008537
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.990367

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499860
		(b) V_n_obs (Total # of runs) = 499901
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.139952
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.843106

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500443
		(b) V_n_obs (Total # of runs) = 499796
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.287945
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.683850

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500190
		(b) V_n_obs (Total # of runs) = 499445
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.784787
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.267061

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501063
		(b) V_n_obs (Total # of runs) = 499493
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.713813
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.312742

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499835
		(b) V_n_obs (Total # of runs) = 500715
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.011240
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.152686

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499812
		(b) V_n_obs (Total # of runs) = 500150
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.212232
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.764069

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499600
		(b) V_n_obs (Total # of runs) = 500033
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.047122
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.946868

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499533
		(b) V_n_obs (Total # of runs) = 499940
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.084236
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.905174

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500162
		(b) V_n_obs (Total # of runs) = 500718
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.015480
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.150972

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499876
		(b) V_n_obs (Total # of runs) = 500631
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.892412
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.206927

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498831
		(b) V_n_obs (Total # of runs) = 499294
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.994575
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.159563

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500611
		(b) V_n_obs (Total # of runs) = 499540
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.649483
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.358353

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500021
		(b) V_n_obs (Total # of runs) = 499608
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.554370
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.433041

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499738
		(b) V_n_obs (Total # of runs) = 500012
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.017165
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.980634

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500340
		(b) V_n_obs (Total # of runs) = 499428
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.808604
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.252815

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500234
		(b) V_n_obs (Total # of runs) = 499654
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.489163
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.489075

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499607
		(b) V_n_obs (Total # of runs) = 500157
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.222469
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.753052

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498988
		(b) V_n_obs (Total # of runs) = 499521
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.674514
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.340131

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499359
		(b) V_n_obs (Total # of runs) = 499648
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.496642
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.482456

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500337
		(b) V_n_obs (Total # of runs) = 500805
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.138764
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.107299

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500149
		(b) V_n_obs (Total # of runs) = 501244
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.759345
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.012843

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500252
		(b) V_n_obs (Total # of runs) = 500582
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.823252
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.244321

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499479
		(b) V_n_obs (Total # of runs) = 500816
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.154767
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.102451

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500321
		(b) V_n_obs (Total # of runs) = 499837
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.230225
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.744736

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500656
		(b) V_n_obs (Total # of runs) = 499037
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.360673
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.054319

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499977
		(b) V_n_obs (Total # of runs) = 499202
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.128541
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.110489

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500175
		(b) V_n_obs (Total # of runs) = 499344
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.927638
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.189561

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500355
		(b) V_n_obs (Total # of runs) = 500576
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.814944
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.249114

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500220
		(b) V_n_obs (Total # of runs) = 499106
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.264170
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.073807

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499942
		(b) V_n_obs (Total # of runs) = 499748
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.356372
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.614271

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500265
		(b) V_n_obs (Total # of runs) = 499937
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.088897
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.899954

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500714
		(b) V_n_obs (Total # of runs) = 500346
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.490761
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.487657

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500432
		(b) V_n_obs (Total # of runs) = 499925
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.105538
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.881354

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500151
		(b) V_n_obs (Total # of runs) = 499954
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.064989
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.926770

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500322
		(b) V_n_obs (Total # of runs) = 499883
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.165170
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.815307

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500856
		(b) V_n_obs (Total # of runs) = 499837
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.228445
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.746642

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499465
		(b) V_n_obs (Total # of runs) = 500010
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.014952
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.983130

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500127
		(b) V_n_obs (Total # of runs) = 500519
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.734023
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.299240

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499855
		(b) V_n_obs (Total # of runs) = 500244
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.345128
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.625490

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500508
		(b) V_n_obs (Total # of runs) = 500235
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.333070
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.637617

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499648
		(b) V_n_obs (Total # of runs) = 499111
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.256886
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.075485

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498930
		(b) V_n_obs (Total # of runs) = 498637
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.924344
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.006500

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500347
		(b) V_n_obs (Total # of runs) = 500734
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.038374
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.141973

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500122
		(b) V_n_obs (Total # of runs) = 500206
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.291370
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.680296

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499801
		(b) V_n_obs (Total # of runs) = 499850
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.212020
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.764298

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499116
		(b) V_n_obs (Total # of runs) = 499635
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.513979
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.467302

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498839
		(b) V_n_obs (Total # of runs) = 500525
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.746279
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.291244

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500666
		(b) V_n_obs (Total # of runs) = 500340
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.482088
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.495381

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500480
		(b) V_n_obs (Total # of runs) = 499518
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.681000
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.335508

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500740
		(b) V_n_obs (Total # of runs) = 499390
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.861123
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.223295

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500843
		(b) V_n_obs (Total # of runs) = 500820
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.161668
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.100415

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499488
		(b) V_n_obs (Total # of runs) = 500284
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.402379
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.569323

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499962
		(b) V_n_obs (Total # of runs) = 499444
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.786299
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.266141

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499291
		(b) V_n_obs (Total # of runs) = 499074
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.308143
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.064315

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500852
		(b) V_n_obs (Total # of runs) = 499994
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.006432
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.992742

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499572
		(b) V_n_obs (Total # of runs) = 500150
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.212650
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.763618

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499463
		(b) V_n_obs (Total # of runs) = 499766
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.330111
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.640609

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499051
		(b) V_n_obs (Total # of runs) = 499848
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.212414
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.763873

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500662
		(b) V_n_obs (Total # of runs) = 500203
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.288325
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.683455

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499852
		(b) V_n_obs (Total # of runs) = 499698
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.427031
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.545902

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499678
		(b) V_n_obs (Total # of runs) = 499920
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.112844
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.873208

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500054
		(b) V_n_obs (Total # of runs) = 499926
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.104644
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.882352

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499469
		(b) V_n_obs (Total # of runs) = 499764
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.332957
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.637732

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499676
		(b) V_n_obs (Total # of runs) = 499506
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.698325
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.323358

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500883
		(b) V_n_obs (Total # of runs) = 500650
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.921447
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.192533

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499721
		(b) V_n_obs (Total # of runs) = 500084
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.119014
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.866338

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500959
		(b) V_n_obs (Total # of runs) = 500300
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.426867
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.546056

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500490
		(b) V_n_obs (Total # of runs) = 499443
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.787039
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.265691

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500997
		(b) V_n_obs (Total # of runs) = 500855
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.211969
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.086532

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500318
		(b) V_n_obs (Total # of runs) = 499667
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.470647
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.505670

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500313
		(b) V_n_obs (Total # of runs) = 500958
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.355094
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.055315

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500136
		(b) V_n_obs (Total # of runs) = 499883
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.165411
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.815042

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500558
		(b) V_n_obs (Total # of runs) = 499502
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.703399
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.319855

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499079
		(b) V_n_obs (Total # of runs) = 500206
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.293728
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.677853

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499934
		(b) V_n_obs (Total # of runs) = 499866
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.189492
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.788713

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500711
		(b) V_n_obs (Total # of runs) = 498654
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.902105
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.007146

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499997
		(b) V_n_obs (Total # of runs) = 499514
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.687308
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.331051

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500114
		(b) V_n_obs (Total # of runs) = 499256
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.052138
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.136765

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499844
		(b) V_n_obs (Total # of runs) = 499513
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.688653
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.330105

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500177
		(b) V_n_obs (Total # of runs) = 499221
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.101584
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.119263

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499170
		(b) V_n_obs (Total # of runs) = 499448
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.778700
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.270789

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499534
		(b) V_n_obs (Total # of runs) = 500806
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.140471
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.106773

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500978
		(b) V_n_obs (Total # of runs) = 499368
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.891081
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.207605

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500125
		(b) V_n_obs (Total # of runs) = 499561
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.620796
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.379978

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499795
		(b) V_n_obs (Total # of runs) = 500094
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.133055
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.850745

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500046
		(b) V_n_obs (Total # of runs) = 500021
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.029704
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.966492

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499791
		(b) V_n_obs (Total # of runs) = 500634
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.896735
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.204735

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498843
		(b) V_n_obs (Total # of runs) = 499950
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.066925
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.924596

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499720
		(b) V_n_obs (Total # of runs) = 500832
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.176848
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.096050

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499605
		(b) V_n_obs (Total # of runs) = 499567
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.611914
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.386832

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499656
		(b) V_n_obs (Total # of runs) = 500128
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.181354
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.797585

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499671
		(b) V_n_obs (Total # of runs) = 500859
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.215116
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.085718

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498835
		(b) V_n_obs (Total # of runs) = 499926
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.100814
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.886628

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499733
		(b) V_n_obs (Total # of runs) = 499908
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.129906
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.854237

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500011
		(b) V_n_obs (Total # of runs) = 500201
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.284257
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.687684

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499642
		(b) V_n_obs (Total # of runs) = 499811
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.266924
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.705811

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499674
		(b) V_n_obs (Total # of runs) = 499594
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.573870
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.417035

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499409
		(b) V_n_obs (Total # of runs) = 499602
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.561870
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.426844

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499404
		(b) V_n_obs (Total # of runs) = 500032
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.046260
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.947839

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498919
		(b) V_n_obs (Total # of runs) = 500100
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.144727
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.837826

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499925
		(b) V_n_obs (Total # of runs) = 499936
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.090494
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.898167

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499650
		(b) V_n_obs (Total # of runs) = 500995
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.407490
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.046537

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500253
		(b) V_n_obs (Total # of runs) = 500015
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.021394
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.975863

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500941
		(b) V_n_obs (Total # of runs) = 499486
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.724404
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.305617

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500050
		(b) V_n_obs (Total # of runs) = 500115
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.162642
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.818084

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500198
		(b) V_n_obs (Total # of runs) = 500131
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.185373
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.793201

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500273
		(b) V_n_obs (Total # of runs) = 500238
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.336794
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.633862

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500143
		(b) V_n_obs (Total # of runs) = 499521
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.677351
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.338104

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500524
		(b) V_n_obs (Total # of runs) = 500283
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.400999
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.570647

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499813
		(b) V_n_obs (Total # of runs) = 499130
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.230267
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.081884

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499163
		(b) V_n_obs (Total # of runs) = 499791
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.293590
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.677996

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498804
		(b) V_n_obs (Total # of runs) = 499241
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.069348
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.130461

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499472
		(b) V_n_obs (Total # of runs) = 499326
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.952392
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.178017

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499636
		(b) V_n_obs (Total # of runs) = 500037
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.052701
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.940589

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500818
		(b) V_n_obs (Total # of runs) = 499423
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.814111
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.249598

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499234
		(b) V_n_obs (Total # of runs) = 499622
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.532914
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.451057

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500267
		(b) V_n_obs (Total # of runs) = 500577
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.816203
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.248383

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499829
		(b) V_n_obs (Total # of runs) = 500500
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.707190
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.317254

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499724
		(b) V_n_obs (Total # of runs) = 499975
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.035140
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.960365

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499621
		(b) V_n_obs (Total # of runs) = 500050
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.071117
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.919888

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499002
		(b) V_n_obs (Total # of runs) = 499015
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.390189
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.049296

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499747
		(b) V_n_obs (Total # of runs) = 500512
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.724259
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.305714

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501256
		(b) V_n_obs (Total # of runs) = 500575
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.817640
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.247551

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499913
		(b) V_n_obs (Total # of runs) = 500627
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.886733
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.209831

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500186
		(b) V_n_obs (Total # of runs) = 499965
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.049400
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.944304

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500260
		(b) V_n_obs (Total # of runs) = 500152
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.215152
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.760922

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501085
		(b) V_n_obs (Total # of runs) = 499394
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.853688
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.227318

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500242
		(b) V_n_obs (Total # of runs) = 499698
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.426927
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.545999

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500186
		(b) V_n_obs (Total # of runs) = 500257
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.363551
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.607155

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500502
		(b) V_n_obs (Total # of runs) = 499565
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.614471
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.384851

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499693
		(b) V_n_obs (Total # of runs) = 500823
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.164165
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.099686

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500388
		(b) V_n_obs (Total # of runs) = 500929
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.314231
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.063083

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500162
		(b) V_n_obs (Total # of runs) = 499303
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.985633
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.163349

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499824
		(b) V_n_obs (Total # of runs) = 500044
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.062313
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.929778

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500366
		(b) V_n_obs (Total # of runs) = 500025
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.035734
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.959695

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500500
		(b) V_n_obs (Total # of runs) = 500889
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.257944
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.075239

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501102
		(b) V_n_obs (Total # of runs) = 499745
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.357191
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.613457

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500019
		(b) V_n_obs (Total # of runs) = 499764
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.333753
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.636928

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499304
		(b) V_n_obs (Total # of runs) = 499952
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.066512
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.925059

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500374
		(b) V_n_obs (Total # of runs) = 500339
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.479814
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.497417

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499895
		(b) V_n_obs (Total # of runs) = 499866
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.189473
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.788733

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499992
		(b) V_n_obs (Total # of runs) = 500425
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.601041
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.395325

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500225
		(b) V_n_obs (Total # of runs) = 499583
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.589584
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.404395

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499914
		(b) V_n_obs (Total # of runs) = 500347
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.490753
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.487664

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500447
		(b) V_n_obs (Total # of runs) = 499228
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.091209
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.122782

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499777
		(b) V_n_obs (Total # of runs) = 500503
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.711490
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.314320

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500191
		(b) V_n_obs (Total # of runs) = 500275
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.389012
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.582219

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499583
		(b) V_n_obs (Total # of runs) = 500218
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.308791
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.662332

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500325
		(b) V_n_obs (Total # of runs) = 499843
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.221733
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.753842

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500300
		(b) V_n_obs (Total # of runs) = 499988
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.016716
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.981140

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499815
		(b) V_n_obs (Total # of runs) = 500559
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.790642
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.263508

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500552
		(b) V_n_obs (Total # of runs) = 499312
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.972118
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.169199

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500617
		(b) V_n_obs (Total # of runs) = 499225
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.094940
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.121507

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499477
		(b) V_n_obs (Total # of runs) = 499918
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.115192
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.870592

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500231
		(b) V_n_obs (Total # of runs) = 501247
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.763676
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.012624

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499810
		(b) V_n_obs (Total # of runs) = 499912
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.124349
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.860407

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500039
		(b) V_n_obs (Total # of runs) = 499413
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.830139
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.240397

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500713
		(b) V_n_obs (Total # of runs) = 500742
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.050786
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.137269

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500342
		(b) V_n_obs (Total # of runs) = 499677
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.456460
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.518582

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499756
		(b) V_n_obs (Total # of runs) = 500132
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.186845
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.791596

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499724
		(b) V_n_obs (Total # of runs) = 500738
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.043905
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.139862

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499897
		(b) V_n_obs (Total # of runs) = 499940
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.084823
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.904517

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499936
		(b) V_n_obs (Total # of runs) = 498905
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.548552
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.028525

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500125
		(b) V_n_obs (Total # of runs) = 500155
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.219247
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.756513

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500498
		(b) V_n_obs (Total # of runs) = 499981
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.026169
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.970479

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500611
		(b) V_n_obs (Total # of runs) = 500310
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.439463
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.534275

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499032
		(b) V_n_obs (Total # of runs) = 500569
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.807341
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.253557

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499980
		(b) V_n_obs (Total # of runs) = 500653
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.923483
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.191552

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500238
		(b) V_n_obs (Total # of runs) = 500216
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.305630
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.665577

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500499
		(b) V_n_obs (Total # of runs) = 500220
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.311832
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.659216

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500291
		(b) V_n_obs (Total # of runs) = 500054
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.076607
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.913727

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498849
		(b) V_n_obs (Total # of runs) = 499672
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.460117
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.515237

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500557
		(b) V_n_obs (Total # of runs) = 500232
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.328975
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.641758

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499146
		(b) V_n_obs (Total # of runs) = 499543
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.644235
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.362250

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499580
		(b) V_n_obs (Total # of runs) = 499702
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.420937
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.551646

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499907
		(b) V_n_obs (Total # of runs) = 499275
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.025280
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.147068

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499733
		(b) V_n_obs (Total # of runs) = 500387
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.547502
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.438762

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499234
		(b) V_n_obs (Total # of runs) = 499561
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.619182
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.381218

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500706
		(b) V_n_obs (Total # of runs) = 499748
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.354973
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.615662

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500397
		(b) V_n_obs (Total # of runs) = 499872
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.180574
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.798438

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500624
		(b) V_n_obs (Total # of runs) = 500589
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.834074
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.238176

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499634
		(b) V_n_obs (Total # of runs) = 500401
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.567479
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.422243

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499885
		(b) V_n_obs (Total # of runs) = 499437
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.796165
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.260188

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500811
		(b) V_n_obs (Total # of runs) = 499954
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.063194
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.928788

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500160
		(b) V_n_obs (Total # of runs) = 500266
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.376253
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.594655

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500778
		(b) V_n_obs (Total # of runs) = 499756
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.343357
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.627265

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500057
		(b) V_n_obs (Total # of runs) = 500073
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.103247
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.883911

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499863
		(b) V_n_obs (Total # of runs) = 500368
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.520484
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.461685

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500090
		(b) V_n_obs (Total # of runs) = 499577
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.598189
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.397571

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499678
		(b) V_n_obs (Total # of runs) = 500836
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.182576
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.094442

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500417
		(b) V_n_obs (Total # of runs) = 499602
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.562366
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.426436

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500925
		(b) V_n_obs (Total # of runs) = 500253
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.360217
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.610455

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499313
		(b) V_n_obs (Total # of runs) = 500175
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.248823
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.724922

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500322
		(b) V_n_obs (Total # of runs) = 499784
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.305177
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.666043

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499758
		(b) V_n_obs (Total # of runs) = 500735
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.039613
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.141498

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499109
		(b) V_n_obs (Total # of runs) = 499757
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.341410
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.629219

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499929
		(b) V_n_obs (Total # of runs) = 499931
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.097566
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.890256

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499811
		(b) V_n_obs (Total # of runs) = 500612
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.865600
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.220898

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500473
		(b) V_n_obs (Total # of runs) = 499914
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.120990
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.864141

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500950
		(b) V_n_obs (Total # of runs) = 500319
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.453688
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.521125

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498818
		(b) V_n_obs (Total # of runs) = 498615
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.954745
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.005702

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500553
		(b) V_n_obs (Total # of runs) = 499779
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.311677
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.659374

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500565
		(b) V_n_obs (Total # of runs) = 499541
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.648222
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.359287

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500307
		(b) V_n_obs (Total # of runs) = 499975
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.035089
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.960423

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500222
		(b) V_n_obs (Total # of runs) = 500214
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.302781
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.668508

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499971
		(b) V_n_obs (Total # of runs) = 500200
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.282845
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.689154

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499615
		(b) V_n_obs (Total # of runs) = 499558
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.624664
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.377016

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500869
		(b) V_n_obs (Total # of runs) = 499075
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.306016
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.064749

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500788
		(b) V_n_obs (Total # of runs) = 500314
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.445820
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.528377

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500936
		(b) V_n_obs (Total # of runs) = 500695
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.985360
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.163466

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499917
		(b) V_n_obs (Total # of runs) = 500386
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.545906
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.440098

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499481
		(b) V_n_obs (Total # of runs) = 500191
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.270877
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.701662

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500257
		(b) V_n_obs (Total # of runs) = 500281
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.397581
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.573936

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499858
		(b) V_n_obs (Total # of runs) = 499995
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007014
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.992086

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499875
		(b) V_n_obs (Total # of runs) = 500120
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.169750
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.810282

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500067
		(b) V_n_obs (Total # of runs) = 499495
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.714165
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.312504

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499537
		(b) V_n_obs (Total # of runs) = 499471
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.747513
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.290446

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500224
		(b) V_n_obs (Total # of runs) = 499832
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.237446
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.737022

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499691
		(b) V_n_obs (Total # of runs) = 499568
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.610670
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.387798

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499638
		(b) V_n_obs (Total # of runs) = 499862
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.194791
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.782951

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500240
		(b) V_n_obs (Total # of runs) = 499924
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.107317
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.879369

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499190
		(b) V_n_obs (Total # of runs) = 500549
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.778261
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.271059

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500456
		(b) V_n_obs (Total # of runs) = 500325
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.460208
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.515155

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500660
		(b) V_n_obs (Total # of runs) = 501148
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.624752
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.021576

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499814
		(b) V_n_obs (Total # of runs) = 499467
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.753678
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.286486

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500772
		(b) V_n_obs (Total # of runs) = 499191
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.142416
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.106177

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499684
		(b) V_n_obs (Total # of runs) = 499946
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.076085
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.914313

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499284
		(b) V_n_obs (Total # of runs) = 500567
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.803311
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.255934

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500750
		(b) V_n_obs (Total # of runs) = 500407
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.577177
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.414356

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499154
		(b) V_n_obs (Total # of runs) = 499632
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.518408
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.463474

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499429
		(b) V_n_obs (Total # of runs) = 500197
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.279523
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.692618

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500087
		(b) V_n_obs (Total # of runs) = 500121
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.171141
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.808757

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499150
		(b) V_n_obs (Total # of runs) = 500599
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.849160
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.229793

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499345
		(b) V_n_obs (Total # of runs) = 499700
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.423051
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.549650

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499991
		(b) V_n_obs (Total # of runs) = 500524
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.741048
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.294638

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499650
		(b) V_n_obs (Total # of runs) = 499391
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.860910
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.223410

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499695
		(b) V_n_obs (Total # of runs) = 500058
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.082288
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.907358

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499800
		(b) V_n_obs (Total # of runs) = 499771
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.323742
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.647067

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500269
		(b) V_n_obs (Total # of runs) = 500422
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.597003
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.398508

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499428
		(b) V_n_obs (Total # of runs) = 499648
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.496878
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.482248

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500824
		(b) V_n_obs (Total # of runs) = 499228
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.089855
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.123247

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500400
		(b) V_n_obs (Total # of runs) = 499897
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.145212
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.837291

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499753
		(b) V_n_obs (Total # of runs) = 500694
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.981637
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.165063

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499432
		(b) V_n_obs (Total # of runs) = 500970
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.372701
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.052223

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499643
		(b) V_n_obs (Total # of runs) = 500224
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.317144
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.653785

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500450
		(b) V_n_obs (Total # of runs) = 499703
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.419449
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.553054

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500213
		(b) V_n_obs (Total # of runs) = 500264
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.373481
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.597373

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500259
		(b) V_n_obs (Total # of runs) = 501220
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.725531
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.014676

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499650
		(b) V_n_obs (Total # of runs) = 499481
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.733631
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.299498

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500470
		(b) V_n_obs (Total # of runs) = 500515
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.728945
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.302595

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499542
		(b) V_n_obs (Total # of runs) = 500426
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.603049
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.393748

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500323
		(b) V_n_obs (Total # of runs) = 499460
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.763381
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.280328

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500241
		(b) V_n_obs (Total # of runs) = 499526
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.670173
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.343248

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499490
		(b) V_n_obs (Total # of runs) = 500151
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.214282
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.761859

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499785
		(b) V_n_obs (Total # of runs) = 500952
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.346462
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.056886

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499849
		(b) V_n_obs (Total # of runs) = 499307
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.979986
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.165775

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500306
		(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                        = 0.499483
		(b) V_n_obs (Total # of runs) = 500780
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.103844
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.118507

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499683
		(b) V_n_obs (Total # of runs) = 501004
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.420155
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.044601

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499134
		(b) V_n_obs (Total # of runs) = 500260
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.369818
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.600973

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500446
		(b) V_n_obs (Total # of runs) = 499471
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.747557
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.290418

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499789
		(b) V_n_obs (Total # of runs) = 499412
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.831432
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.239666

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500697
		(b) V_n_obs (Total # of runs) = 498555
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.042168
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.003876

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500008
		(b) V_n_obs (Total # of runs) = 499640
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.509117
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.471525

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500325
		(b) V_n_obs (Total # of runs) = 499975
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.035057
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.960459

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499240
		(b) V_n_obs (Total # of runs) = 499434
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.798813
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.258606

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500389
		(b) V_n_obs (Total # of runs) = 500129
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.182862
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.795940

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498857
		(b) V_n_obs (Total # of runs) = 500379
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.539685
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.445326

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499690
		(b) V_n_obs (Total # of runs) = 499666
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.472076
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.504379

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500390
		(b) V_n_obs (Total # of runs) = 499789
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.297969
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.673469

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499681
		(b) V_n_obs (Total # of runs) = 500106
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.150195
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.831789

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499633
		(b) V_n_obs (Total # of runs) = 500513
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.725873
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.304637

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500371
		(b) V_n_obs (Total # of runs) = 500036
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.051301
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.942164

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499673
		(b) V_n_obs (Total # of runs) = 500035
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.049800
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.943853

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499988
		(b) V_n_obs (Total # of runs) = 499760
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.339411
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.631228

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500487
		(b) V_n_obs (Total # of runs) = 500438
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.620097
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.380514

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499973
		(b) V_n_obs (Total # of runs) = 500384
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.543060
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.442485

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500316
		(b) V_n_obs (Total # of runs) = 500370
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.523542
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.459057

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500472
		(b) V_n_obs (Total # of runs) = 499943
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.079980
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.909944

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500292
		(b) V_n_obs (Total # of runs) = 499283
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.013750
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.151669

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499707
		(b) V_n_obs (Total # of runs) = 500243
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.343897
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.626724

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499799
		(b) V_n_obs (Total # of runs) = 499944
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.079082
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.910952

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499920
		(b) V_n_obs (Total # of runs) = 500078
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.110327
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.876013

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500243
		(b) V_n_obs (Total # of runs) = 499342
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.930386
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.188253

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500859
		(b) V_n_obs (Total # of runs) = 499229
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.088275
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.123791

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499976
		(b) V_n_obs (Total # of runs) = 501038
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.467955
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.037894

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499878
		(b) V_n_obs (Total # of runs) = 499333
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.943238
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.182223

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500864
		(b) V_n_obs (Total # of runs) = 500087
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.125148
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.859519

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499595
		(b) V_n_obs (Total # of runs) = 499525
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.671288
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.342445

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501516
		(b) V_n_obs (Total # of runs) = 501147
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.628618
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.021267

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500719
		(b) V_n_obs (Total # of runs) = 499856
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.202185
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.774930

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500772
		(b) V_n_obs (Total # of runs) = 499472
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.745021
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.292058

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499842
		(b) V_n_obs (Total # of runs) = 499745
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.360554
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.610121

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499768
		(b) V_n_obs (Total # of runs) = 499250
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.060508
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.133670

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499824
		(b) V_n_obs (Total # of runs) = 500108
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.152823
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.828891

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499583
		(b) V_n_obs (Total # of runs) = 500236
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.334246
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.636430

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499204
		(b) V_n_obs (Total # of runs) = 499697
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.426716
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.546198

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499506
		(b) V_n_obs (Total # of runs) = 499472
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.746015
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.291414

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499639
		(b) V_n_obs (Total # of runs) = 499824
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.248533
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.725229

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499542
		(b) V_n_obs (Total # of runs) = 499331
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.945516
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.181170

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500280
		(b) V_n_obs (Total # of runs) = 500865
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.223517
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.083574

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501136
		(b) V_n_obs (Total # of runs) = 500093
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.135173
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.848398

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500433
		(b) V_n_obs (Total # of runs) = 500267
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.378126
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.592822

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499781
		(b) V_n_obs (Total # of runs) = 500145
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.205197
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.771669

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500111
		(b) V_n_obs (Total # of runs) = 500283
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.400257
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.571360

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499187
		(b) V_n_obs (Total # of runs) = 500332
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.471390
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.504999

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500145
		(b) V_n_obs (Total # of runs) = 500106
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.149966
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.832041

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500523
		(b) V_n_obs (Total # of runs) = 499875
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.176003
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.803433

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499920
		(b) V_n_obs (Total # of runs) = 500369
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.521863
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.460499

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500221
		(b) V_n_obs (Total # of runs) = 500256
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.362177
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.608514

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500476
		(b) V_n_obs (Total # of runs) = 500147
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.208530
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.768065

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500096
		(b) V_n_obs (Total # of runs) = 500167
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.236200
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.738352

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500514
		(b) V_n_obs (Total # of runs) = 500716
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.013325
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.151841

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500134
		(b) V_n_obs (Total # of runs) = 499790
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.296934
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.674538

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500606
		(b) V_n_obs (Total # of runs) = 499915
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.119170
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.866165

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499643
		(b) V_n_obs (Total # of runs) = 500021
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.030059
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.966092

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500212
		(b) V_n_obs (Total # of runs) = 499493
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.716879
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.310668

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500467
		(b) V_n_obs (Total # of runs) = 500952
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.346949
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.056796

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500842
		(b) V_n_obs (Total # of runs) = 500244
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.347074
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.623542

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499822
		(b) V_n_obs (Total # of runs) = 500656
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.927814
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.189477

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500174
		(b) V_n_obs (Total # of runs) = 500252
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.356467
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.614176

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498953
		(b) V_n_obs (Total # of runs) = 500210
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.300087
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.671284

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500106
		(b) V_n_obs (Total # of runs) = 500496
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.701482
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.321176

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500172
		(b) V_n_obs (Total # of runs) = 500098
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.138677
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.844518

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499387
		(b) V_n_obs (Total # of runs) = 499579
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.594322
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.400629

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499330
		(b) V_n_obs (Total # of runs) = 499828
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.241975
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.732197

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500304
		(b) V_n_obs (Total # of runs) = 500428
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.605545
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.391793

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499694
		(b) V_n_obs (Total # of runs) = 499817
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.258536
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.714644

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500703
		(b) V_n_obs (Total # of runs) = 499810
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.267303
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.705413

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500553
		(b) V_n_obs (Total # of runs) = 499653
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.489868
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.488449

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501055
		(b) V_n_obs (Total # of runs) = 500238
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.339732
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.630904

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499829
		(b) V_n_obs (Total # of runs) = 499998
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.002746
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.996902

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500130
		(b) V_n_obs (Total # of runs) = 500021
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.029746
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.966445

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499718
		(b) V_n_obs (Total # of runs) = 500718
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.015631
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.150912

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499605
		(b) V_n_obs (Total # of runs) = 500267
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.378037
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.592910

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500682
		(b) V_n_obs (Total # of runs) = 500374
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.530232
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.453338

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500420
		(b) V_n_obs (Total # of runs) = 499830
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.239918
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.734388

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499197
		(b) V_n_obs (Total # of runs) = 499058
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.330369
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.059914

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500667
		(b) V_n_obs (Total # of runs) = 499069
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.315377
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.062854

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500511
		(b) V_n_obs (Total # of runs) = 500149
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.211457
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.764906

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499233
		(b) V_n_obs (Total # of runs) = 499810
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.267037
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.705692

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499590
		(b) V_n_obs (Total # of runs) = 499419
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.821183
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.245508

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499792
		(b) V_n_obs (Total # of runs) = 500295
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.417315
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.555075

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500989
		(b) V_n_obs (Total # of runs) = 499456
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.766569
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.278324

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500124
		(b) V_n_obs (Total # of runs) = 500084
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.118837
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.866535

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499047
		(b) V_n_obs (Total # of runs) = 500844
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.196169
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.090715

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499893
		(b) V_n_obs (Total # of runs) = 500013
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.018417
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.979221

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499891
		(b) V_n_obs (Total # of runs) = 500472
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.667542
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.345145

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500427
		(b) V_n_obs (Total # of runs) = 500441
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.624184
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.377382

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499473
		(b) V_n_obs (Total # of runs) = 500567
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.802646
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.256328

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499363
		(b) V_n_obs (Total # of runs) = 500260
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.368844
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.601932

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500517
		(b) V_n_obs (Total # of runs) = 499909
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.127938
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.856422

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499964
		(b) V_n_obs (Total # of runs) = 500007
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.009903
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.988826

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499844
		(b) V_n_obs (Total # of runs) = 499964
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.050843
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.942679

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498875
		(b) V_n_obs (Total # of runs) = 500623
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.884639
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.210909

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500266
		(b) V_n_obs (Total # of runs) = 499281
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.016620
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.150514

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500727
		(b) V_n_obs (Total # of runs) = 499630
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.521765
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.460583

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500280
		(b) V_n_obs (Total # of runs) = 499502
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.704057
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.319402

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500331
		(b) V_n_obs (Total # of runs) = 498977
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.446431
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.040799

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500404
		(b) V_n_obs (Total # of runs) = 500119
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.168753
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.811375

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500412
		(b) V_n_obs (Total # of runs) = 500510
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.721730
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.307406

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499277
		(b) V_n_obs (Total # of runs) = 501086
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.537318
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.029698

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499955
		(b) V_n_obs (Total # of runs) = 499892
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.152729
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.828994

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499262
		(b) V_n_obs (Total # of runs) = 500230
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.326810
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.643953

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499690
		(b) V_n_obs (Total # of runs) = 498972
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.453540
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.039820

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499857
		(b) V_n_obs (Total # of runs) = 499735
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.374709
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.596169

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499813
		(b) V_n_obs (Total # of runs) = 499430
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.806003
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.254345

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498751
		(b) V_n_obs (Total # of runs) = 499289
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.001100
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.156843

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499712
		(b) V_n_obs (Total # of runs) = 499286
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.009514
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.153387

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500299
		(b) V_n_obs (Total # of runs) = 499860
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.197737
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.779752

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499659
		(b) V_n_obs (Total # of runs) = 500687
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.971894
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.169297

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500212
		(b) V_n_obs (Total # of runs) = 500042
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.059524
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.932913

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500058
		(b) V_n_obs (Total # of runs) = 499629
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.524664
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.458095

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500132
		(b) V_n_obs (Total # of runs) = 500360
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.509166
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.471482

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499316
		(b) V_n_obs (Total # of runs) = 499994
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007162
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.991919

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498866
		(b) V_n_obs (Total # of runs) = 500154
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.221427
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.754170

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500272
		(b) V_n_obs (Total # of runs) = 499782
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.308089
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.663051

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500121
		(b) V_n_obs (Total # of runs) = 500227
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.321068
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.649787

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499718
		(b) V_n_obs (Total # of runs) = 500017
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.024267
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.972623

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500796
		(b) V_n_obs (Total # of runs) = 499439
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.791584
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.262940

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499490
		(b) V_n_obs (Total # of runs) = 500695
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.983615
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.164213

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500616
		(b) V_n_obs (Total # of runs) = 499670
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.465618
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.510228

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499896
		(b) V_n_obs (Total # of runs) = 500412
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.582687
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.409915

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499229
		(b) V_n_obs (Total # of runs) = 500230
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.326951
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.643810

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500329
		(b) V_n_obs (Total # of runs) = 500296
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.418914
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.553561

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500922
		(b) V_n_obs (Total # of runs) = 499921
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.109319
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.877137

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500099
		(b) V_n_obs (Total # of runs) = 499747
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.357768
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.612884

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499671
		(b) V_n_obs (Total # of runs) = 500150
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.212438
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.763847

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499450
		(b) V_n_obs (Total # of runs) = 500845
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.195868
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.090796

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499481
		(b) V_n_obs (Total # of runs) = 500319
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.451896
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.522772

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499992
		(b) V_n_obs (Total # of runs) = 500598
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.845700
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.231696

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499407
		(b) V_n_obs (Total # of runs) = 500573
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.811340
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.251213

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499870
		(b) V_n_obs (Total # of runs) = 498817
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.672967
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.017985

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500357
		(b) V_n_obs (Total # of runs) = 499831
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.238642
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.735747

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500916
		(b) V_n_obs (Total # of runs) = 499969
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.041468
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.953236

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500824
		(b) V_n_obs (Total # of runs) = 500591
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.837723
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.236129

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499873
		(b) V_n_obs (Total # of runs) = 500647
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.915042
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.195643

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499695
		(b) V_n_obs (Total # of runs) = 500230
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.325532
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.645249

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500159
		(b) V_n_obs (Total # of runs) = 499315
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.968665
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.170718

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500270
		(b) V_n_obs (Total # of runs) = 499829
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.241624
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.732570

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500311
		(b) V_n_obs (Total # of runs) = 500080
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.113411
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.872576

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499966
		(b) V_n_obs (Total # of runs) = 499256
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.052172
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.136752

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500009
		(b) V_n_obs (Total # of runs) = 499128
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.233194
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.081159

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500385
		(b) V_n_obs (Total # of runs) = 500276
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.390742
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.580542

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500155
		(b) V_n_obs (Total # of runs) = 500191
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.270183
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.702390

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501104
		(b) V_n_obs (Total # of runs) = 499978
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.027666
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.968791

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500172
		(b) V_n_obs (Total # of runs) = 499073
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.310892
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.063756

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499944
		(b) V_n_obs (Total # of runs) = 499952
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.067873
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.923531

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500283
		(b) V_n_obs (Total # of runs) = 500175
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.247714
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.726098

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499614
		(b) V_n_obs (Total # of runs) = 500144
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.204068
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.772890

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500792
		(b) V_n_obs (Total # of runs) = 500430
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.609888
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.388406

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500412
		(b) V_n_obs (Total # of runs) = 500444
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.628391
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.374175

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499137
		(b) V_n_obs (Total # of runs) = 499115
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.249476
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.077224

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499208
		(b) V_n_obs (Total # of runs) = 499801
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.279655
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.692480

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500198
		(b) V_n_obs (Total # of runs) = 499615
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.544361
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.441393

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499428
		(b) V_n_obs (Total # of runs) = 501771
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.505501
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.000395

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499760
		(b) V_n_obs (Total # of runs) = 499895
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.148330
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.833847

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499988
		(b) V_n_obs (Total # of runs) = 499223
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.098844
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.120185

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500821
		(b) V_n_obs (Total # of runs) = 500315
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.447385
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.526931

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500097
		(b) V_n_obs (Total # of runs) = 501417
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.003967
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.004596

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500412
		(b) V_n_obs (Total # of runs) = 500730
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.032857
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.144103

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499804
		(b) V_n_obs (Total # of runs) = 500491
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.694488
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.326024

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500592
		(b) V_n_obs (Total # of runs) = 500221
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.313533
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.657475

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499434
		(b) V_n_obs (Total # of runs) = 500220
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.312033
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.659009

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499818
		(b) V_n_obs (Total # of runs) = 500478
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.676088
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.339005

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499232
		(b) V_n_obs (Total # of runs) = 499746
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.357543
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.613108

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501026
		(b) V_n_obs (Total # of runs) = 499806
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.271381
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.701133

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500189
		(b) V_n_obs (Total # of runs) = 500284
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.401738
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.569938

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499767
		(b) V_n_obs (Total # of runs) = 500394
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.557354
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.430570

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500290
		(b) V_n_obs (Total # of runs) = 499819
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.255735
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.717603

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500107
		(b) V_n_obs (Total # of runs) = 500733
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.036651
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.142636

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500500
		(b) V_n_obs (Total # of runs) = 500559
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.791253
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.263140

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499521
		(b) V_n_obs (Total # of runs) = 499648
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.497155
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.482004

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500524
		(b) V_n_obs (Total # of runs) = 498970
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.455865
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.039503

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499694
		(b) V_n_obs (Total # of runs) = 499982
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.025191
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.971581

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500229
		(b) V_n_obs (Total # of runs) = 499663
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.476442
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.500445

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499981
		(b) V_n_obs (Total # of runs) = 499449
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.779231
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.270462

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500757
		(b) V_n_obs (Total # of runs) = 499209
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.117025
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.114173

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499821
		(b) V_n_obs (Total # of runs) = 499477
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.739543
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.295620

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501161
		(b) V_n_obs (Total # of runs) = 500372
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.529903
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.453619

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500448
		(b) V_n_obs (Total # of runs) = 500105
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.149060
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.833041

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500150
		(b) V_n_obs (Total # of runs) = 499952
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.067819
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.923592

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499524
		(b) V_n_obs (Total # of runs) = 499685
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.444837
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.529287

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499499
		(b) V_n_obs (Total # of runs) = 499761
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.337287
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.633365

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499426
		(b) V_n_obs (Total # of runs) = 499631
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.520914
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.461315

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500268
		(b) V_n_obs (Total # of runs) = 500504
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.712967
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.313316

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500164
		(b) V_n_obs (Total # of runs) = 499819
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.255897
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.717432

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500321
		(b) V_n_obs (Total # of runs) = 500720
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.018526
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.149751

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500447
		(b) V_n_obs (Total # of runs) = 500391
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.553523
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.433745

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500476
		(b) V_n_obs (Total # of runs) = 500642
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.908567
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.198825

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499776
		(b) V_n_obs (Total # of runs) = 500233
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.329654
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.641072

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499142
		(b) V_n_obs (Total # of runs) = 499959
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.055901
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.936988

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498644
		(b) V_n_obs (Total # of runs) = 499974
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.031569
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.964390

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499684
		(b) V_n_obs (Total # of runs) = 499747
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.357514
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.613137

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499552
		(b) V_n_obs (Total # of runs) = 499656
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.485922
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.491958

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500403
		(b) V_n_obs (Total # of runs) = 500100
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.141881
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.840972

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500772
		(b) V_n_obs (Total # of runs) = 500395
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.560301
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.428136

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499986
		(b) V_n_obs (Total # of runs) = 499759
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.340825
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.629807

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500855
		(b) V_n_obs (Total # of runs) = 500929
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.315876
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.062754

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500321
		(b) V_n_obs (Total # of runs) = 500063
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.089387
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.899406

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500515
		(b) V_n_obs (Total # of runs) = 500719
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.017571
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.150133

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499739
		(b) V_n_obs (Total # of runs) = 500019
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.027063
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.969470

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500212
		(b) V_n_obs (Total # of runs) = 499861
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.196449
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.781150

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501203
		(b) V_n_obs (Total # of runs) = 500161
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.231783
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.743070

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499640
		(b) V_n_obs (Total # of runs) = 500120
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.170072
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.809928

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500045
		(b) V_n_obs (Total # of runs) = 500720
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.018240
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.149865

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499908
		(b) V_n_obs (Total # of runs) = 499840
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.226250
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.748994

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499175
		(b) V_n_obs (Total # of runs) = 500034
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.050008
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.943618

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499948
		(b) V_n_obs (Total # of runs) = 500522
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.738227
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.296480

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500888
		(b) V_n_obs (Total # of runs) = 501111
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.573427
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.026070

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499640
		(b) V_n_obs (Total # of runs) = 500697
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.986074
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.163161

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499048
		(b) V_n_obs (Total # of runs) = 500578
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.819982
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.246200

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499547
		(b) V_n_obs (Total # of runs) = 499514
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.686728
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.331459

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499676
		(b) V_n_obs (Total # of runs) = 500938
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.326830
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.060598

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499486
		(b) V_n_obs (Total # of runs) = 499667
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.470186
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.506086

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499700
		(b) V_n_obs (Total # of runs) = 500879
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.243349
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.078686

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500007
		(b) V_n_obs (Total # of runs) = 500281
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.397394
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.574116

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499805
		(b) V_n_obs (Total # of runs) = 499988
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.016863
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.980974

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500190
		(b) V_n_obs (Total # of runs) = 499789
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.298297
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.673130

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498241
		(b) V_n_obs (Total # of runs) = 499980
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.019533
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.977962

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500540
		(b) V_n_obs (Total # of runs) = 501354
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.915672
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.006745

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499185
		(b) V_n_obs (Total # of runs) = 499616
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.541181
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.444066

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500494
		(b) V_n_obs (Total # of runs) = 499556
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.627221
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.375066

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499737
		(b) V_n_obs (Total # of runs) = 500243
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.343850
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.626771

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499718
		(b) V_n_obs (Total # of runs) = 500483
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.683290
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.333885

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499728
		(b) V_n_obs (Total # of runs) = 500552
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.780855
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.269465

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499639
		(b) V_n_obs (Total # of runs) = 499728
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.384298
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.586800

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500828
		(b) V_n_obs (Total # of runs) = 500575
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.815114
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.249015

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499952
		(b) V_n_obs (Total # of runs) = 500176
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.248908
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.724831

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500531
		(b) V_n_obs (Total # of runs) = 499541
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.648327
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.359209

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500175
		(b) V_n_obs (Total # of runs) = 499482
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.732476
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.300259

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500239
		(b) V_n_obs (Total # of runs) = 500029
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.041174
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.953567

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499507
		(b) V_n_obs (Total # of runs) = 500345
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.488592
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.489583

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500210
		(b) V_n_obs (Total # of runs) = 499719
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.397269
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.574236

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500441
		(b) V_n_obs (Total # of runs) = 499896
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.146528
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.835836

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500372
		(b) V_n_obs (Total # of runs) = 499818
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.256996
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.716271

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500008
		(b) V_n_obs (Total # of runs) = 500273
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.386080
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.585066

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499270
		(b) V_n_obs (Total # of runs) = 499949
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.070618
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.920449

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499688
		(b) V_n_obs (Total # of runs) = 499283
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.013716
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.151683

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499469
		(b) V_n_obs (Total # of runs) = 499740
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.366898
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.603849

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499857
		(b) V_n_obs (Total # of runs) = 499178
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.162426
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.100193

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500280
		(b) V_n_obs (Total # of runs) = 499461
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.762040
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.281174

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500175
		(b) V_n_obs (Total # of runs) = 499608
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.554285
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.433112

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500228
		(b) V_n_obs (Total # of runs) = 499643
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.504727
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.475356

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500540
		(b) V_n_obs (Total # of runs) = 499560
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.621430
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.379491

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499555
		(b) V_n_obs (Total # of runs) = 499907
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.130962
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.853066

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500452
		(b) V_n_obs (Total # of runs) = 499264
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.040284
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.141241

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500062
		(b) V_n_obs (Total # of runs) = 500583
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.824497
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.243608

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500046
		(b) V_n_obs (Total # of runs) = 499692
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.435572
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.537900

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500595
		(b) V_n_obs (Total # of runs) = 499704
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.417606
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.554799

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501319
		(b) V_n_obs (Total # of runs) = 500385
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.549397
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.437180

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500572
		(b) V_n_obs (Total # of runs) = 500280
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.396906
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.574587

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499528
		(b) V_n_obs (Total # of runs) = 500187
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.265088
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.707741

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500430
		(b) V_n_obs (Total # of runs) = 500110
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.156087
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.825295

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500710
		(b) V_n_obs (Total # of runs) = 501288
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.822937
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.009937

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499933
		(b) V_n_obs (Total # of runs) = 499126
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.236010
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.080467

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500454
		(b) V_n_obs (Total # of runs) = 500047
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.067051
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.924454

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500106
		(b) V_n_obs (Total # of runs) = 500171
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.241862
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.732317

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499221
		(b) V_n_obs (Total # of runs) = 500451
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.639528
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.365768

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500672
		(b) V_n_obs (Total # of runs) = 499609
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.551681
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.435276

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499962
		(b) V_n_obs (Total # of runs) = 500124
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.175367
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.804130

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500024
		(b) V_n_obs (Total # of runs) = 499296
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.995605
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.159132

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500408
		(b) V_n_obs (Total # of runs) = 499449
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.778761
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.270751

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501038
		(b) V_n_obs (Total # of runs) = 499931
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.094534
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.893647

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499350
		(b) V_n_obs (Total # of runs) = 499597
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.568734
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.421217

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500805
		(b) V_n_obs (Total # of runs) = 500431
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.611361
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.387261

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500126
		(b) V_n_obs (Total # of runs) = 500521
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.736850
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.297382

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500637
		(b) V_n_obs (Total # of runs) = 499674
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.459887
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.515448

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499708
		(b) V_n_obs (Total # of runs) = 500571
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.807757
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.253312

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500085
		(b) V_n_obs (Total # of runs) = 499483
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.731128
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.301150

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499471
		(b) V_n_obs (Total # of runs) = 500668
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.945487
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.181183

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499804
		(b) V_n_obs (Total # of runs) = 500656
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.927833
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.189468

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499625
		(b) V_n_obs (Total # of runs) = 499854
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.206078
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.770717

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500951
		(b) V_n_obs (Total # of runs) = 500501
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.711082
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.314598

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499895
		(b) V_n_obs (Total # of runs) = 500478
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.676025
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.339050

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499951
		(b) V_n_obs (Total # of runs) = 500517
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.731155
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.301132

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499707
		(b) V_n_obs (Total # of runs) = 499079
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.302248
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.065525

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500093
		(b) V_n_obs (Total # of runs) = 499940
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.084828
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.904511

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500249
		(b) V_n_obs (Total # of runs) = 500330
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.466866
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.509095

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500399
		(b) V_n_obs (Total # of runs) = 499484
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.729284
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.302370

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499844
		(b) V_n_obs (Total # of runs) = 499688
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.441166
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.532691

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500543
		(b) V_n_obs (Total # of runs) = 500339
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.480253
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.497024

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500427
		(b) V_n_obs (Total # of runs) = 499998
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.002313
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.997390

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500462
		(b) V_n_obs (Total # of runs) = 500056
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.079800
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.910146

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500471
		(b) V_n_obs (Total # of runs) = 499288
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.006293
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.154703

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500539
		(b) V_n_obs (Total # of runs) = 499901
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.139186
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.843954

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499765
		(b) V_n_obs (Total # of runs) = 499924
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.107324
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.879361

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500040
		(b) V_n_obs (Total # of runs) = 499922
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.110304
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.876038

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500570
		(b) V_n_obs (Total # of runs) = 500217
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.307804
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.663345

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499611
		(b) V_n_obs (Total # of runs) = 499602
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.562429
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.426384

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499506
		(b) V_n_obs (Total # of runs) = 499408
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.836525
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.236799

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499640
		(b) V_n_obs (Total # of runs) = 500703
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.994559
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.159570

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501208
		(b) V_n_obs (Total # of runs) = 499713
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.401754
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.569922

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500022
		(b) V_n_obs (Total # of runs) = 499722
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.393150
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.578212

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500767
		(b) V_n_obs (Total # of runs) = 499283
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.012330
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.152244

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500483
		(b) V_n_obs (Total # of runs) = 500952
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.346992
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.056789

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500096
		(b) V_n_obs (Total # of runs) = 500094
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.132962
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.850848

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499957
		(b) V_n_obs (Total # of runs) = 499760
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.339406
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.631233

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500218
		(b) V_n_obs (Total # of runs) = 500708
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.001398
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.156720

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500199
		(b) V_n_obs (Total # of runs) = 499897
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.145552
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.836915

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500023
		(b) V_n_obs (Total # of runs) = 500673
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.951767
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.178302

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499911
		(b) V_n_obs (Total # of runs) = 499454
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.772138
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.274847

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499800
		(b) V_n_obs (Total # of runs) = 500143
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.202346
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.774756

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499009
		(b) V_n_obs (Total # of runs) = 500193
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.275722
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.696588

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500378
		(b) V_n_obs (Total # of runs) = 500577
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.816406
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.248266

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500043
		(b) V_n_obs (Total # of runs) = 500005
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007076
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.992015

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499942
		(b) V_n_obs (Total # of runs) = 500362
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.511955
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.469057

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500462
		(b) V_n_obs (Total # of runs) = 499100
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.272190
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.071995

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500558
		(b) V_n_obs (Total # of runs) = 499569
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.608646
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.389373

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499397
		(b) V_n_obs (Total # of runs) = 498776
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.729971
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.014423

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500173
		(b) V_n_obs (Total # of runs) = 500125
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.176861
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.802495

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500277
		(b) V_n_obs (Total # of runs) = 499924
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.107263
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.879429

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501025
		(b) V_n_obs (Total # of runs) = 499996
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.002685
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.996970

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499916
		(b) V_n_obs (Total # of runs) = 499808
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.271509
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.700999

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499824
		(b) V_n_obs (Total # of runs) = 500254
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.359298
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.611366

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499735
		(b) V_n_obs (Total # of runs) = 500607
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.858626
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.224640

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499277
		(b) V_n_obs (Total # of runs) = 499782
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.306821
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.664354

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500542
		(b) V_n_obs (Total # of runs) = 500021
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.030529
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.965562

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500508
		(b) V_n_obs (Total # of runs) = 501048
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.482827
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.035991

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500242
		(b) V_n_obs (Total # of runs) = 499936
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.090344
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.898334

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499577
		(b) V_n_obs (Total # of runs) = 499586
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.584979
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.408076

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500202
		(b) V_n_obs (Total # of runs) = 500994
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.405844
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.046794

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499910
		(b) V_n_obs (Total # of runs) = 499203
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.127105
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.110943

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499248
		(b) V_n_obs (Total # of runs) = 499511
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.689953
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.329193

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500287
		(b) V_n_obs (Total # of runs) = 498985
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.435194
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.042390

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501071
		(b) V_n_obs (Total # of runs) = 500016
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.025872
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.970813

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500661
		(b) V_n_obs (Total # of runs) = 499882
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.165642
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.814789

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499949
		(b) V_n_obs (Total # of runs) = 500531
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.750955
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.288231

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501289
		(b) V_n_obs (Total # of runs) = 499858
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.196120
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.781507

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500189
		(b) V_n_obs (Total # of runs) = 500596
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.842972
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.233205

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500216
		(b) V_n_obs (Total # of runs) = 499063
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.324986
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.060956

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499832
		(b) V_n_obs (Total # of runs) = 500246
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.347976
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.622639

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500416
		(b) V_n_obs (Total # of runs) = 500269
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.380913
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.590099

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499436
		(b) V_n_obs (Total # of runs) = 500077
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.109794
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.876606

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499758
		(b) V_n_obs (Total # of runs) = 499815
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.261464
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.711557

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500778
		(b) V_n_obs (Total # of runs) = 499596
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.569632
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.420485

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499577
		(b) V_n_obs (Total # of runs) = 500598
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.846206
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.231417

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500392
		(b) V_n_obs (Total # of runs) = 500685
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.969172
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.170495

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499206
		(b) V_n_obs (Total # of runs) = 500590
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.836171
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.236998

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500660
		(b) V_n_obs (Total # of runs) = 499791
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.294339
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.677221

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499259
		(b) V_n_obs (Total # of runs) = 500192
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.273083
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.699351

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500267
		(b) V_n_obs (Total # of runs) = 500604
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.854387
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.226937

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500110
		(b) V_n_obs (Total # of runs) = 498751
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.766319
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.012491

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499508
		(b) V_n_obs (Total # of runs) = 499960
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.055884
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.937007

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500124
		(b) V_n_obs (Total # of runs) = 500483
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.683109
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.334013

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500092
		(b) V_n_obs (Total # of runs) = 500291
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.411560
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.560544

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500453
		(b) V_n_obs (Total # of runs) = 500277
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.392318
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.579017

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498770
		(b) V_n_obs (Total # of runs) = 500188
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.270153
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.702421

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500767
		(b) V_n_obs (Total # of runs) = 500970
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.373454
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.052094

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499450
		(b) V_n_obs (Total # of runs) = 500067
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.095608
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.892446

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500581
		(b) V_n_obs (Total # of runs) = 499687
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.441695
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.532200

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500333
		(b) V_n_obs (Total # of runs) = 500773
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.093501
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.121997

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500446
		(b) V_n_obs (Total # of runs) = 499836
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.231369
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.743513

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499580
		(b) V_n_obs (Total # of runs) = 500237
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.335668
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.634997

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500437
		(b) V_n_obs (Total # of runs) = 499948
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.072999
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.917776

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500653
		(b) V_n_obs (Total # of runs) = 500181
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.257179
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.716077

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499564
		(b) V_n_obs (Total # of runs) = 499098
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.275084
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.071350

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499827
		(b) V_n_obs (Total # of runs) = 499521
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.677324
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.338123

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499330
		(b) V_n_obs (Total # of runs) = 500468
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.663123
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.348349

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500518
		(b) V_n_obs (Total # of runs) = 500567
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.802619
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.256344

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500374
		(b) V_n_obs (Total # of runs) = 499840
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.225879
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.749392

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500195
		(b) V_n_obs (Total # of runs) = 500532
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.752469
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.287260

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499662
		(b) V_n_obs (Total # of runs) = 499908
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.129785
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.854372

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500690
		(b) V_n_obs (Total # of runs) = 499622
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.533227
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.450791

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500030
		(b) V_n_obs (Total # of runs) = 499945
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.077779
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.912412

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499358
		(b) V_n_obs (Total # of runs) = 500651
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.921820
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.192353

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500331
		(b) V_n_obs (Total # of runs) = 499529
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.665785
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.346417

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500443
		(b) V_n_obs (Total # of runs) = 500706
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.998991
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.157719

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500275
		(b) V_n_obs (Total # of runs) = 500569
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.804902
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.254994

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500285
		(b) V_n_obs (Total # of runs) = 500018
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.025686
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.971023

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499698
		(b) V_n_obs (Total # of runs) = 500888
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.256080
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.075673

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499861
		(b) V_n_obs (Total # of runs) = 500499
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.705747
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.318242

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499986
		(b) V_n_obs (Total # of runs) = 499843
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.222031
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.753522

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500633
		(b) V_n_obs (Total # of runs) = 499838
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.227970
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.747151

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499591
		(b) V_n_obs (Total # of runs) = 501150
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.626820
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.021410

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498810
		(b) V_n_obs (Total # of runs) = 499996
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.001652
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.998136

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499751
		(b) V_n_obs (Total # of runs) = 499643
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.504699
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.475380

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.501209
		(b) V_n_obs (Total # of runs) = 500285
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.407188
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.564717

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499887
		(b) V_n_obs (Total # of runs) = 499867
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.188054
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.790279

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499621
		(b) V_n_obs (Total # of runs) = 500977
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.382094
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.050633

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500233
		(b) V_n_obs (Total # of runs) = 500448
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.633721
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.370137

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499979
		(b) V_n_obs (Total # of runs) = 499894
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.149905
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.832108

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500231
		(b) V_n_obs (Total # of runs) = 499546
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.641902
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.363991

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.498824
		(b) V_n_obs (Total # of runs) = 499521
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.673500
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.340857

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500008
		(b) V_n_obs (Total # of runs) = 499995
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.007071
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.992021

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499886
		(b) V_n_obs (Total # of runs) = 500560
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.791996
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.262692

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499859
		(b) V_n_obs (Total # of runs) = 500125
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.176833
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.802526

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500035
		(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 = 0.936233

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499711
		(b) V_n_obs (Total # of runs) = 500214
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.302878
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.668408

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499931
		(b) V_n_obs (Total # of runs) = 499587
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.584057
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.408815

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499946
		(b) V_n_obs (Total # of runs) = 500509
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.719843
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.308672

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500448
		(b) V_n_obs (Total # of runs) = 500091
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.129261
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.854953

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500716
		(b) V_n_obs (Total # of runs) = 500050
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.072161
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.918716

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500819
		(b) V_n_obs (Total # of runs) = 500409
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.580312
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.411826

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500096
		(b) V_n_obs (Total # of runs) = 499768
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.328071
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.642674

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500057
		(b) V_n_obs (Total # of runs) = 500595
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.841466
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.234041

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500415
		(b) V_n_obs (Total # of runs) = 499933
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.094265
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.893947

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500421
		(b) V_n_obs (Total # of runs) = 499895
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.147991
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.834221

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499742
		(b) V_n_obs (Total # of runs) = 500554
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.783663
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.267747

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499760
		(b) V_n_obs (Total # of runs) = 499961
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.054991
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.938011

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500220
		(b) V_n_obs (Total # of runs) = 499691
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.436855
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.536703

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500132
		(b) V_n_obs (Total # of runs) = 499888
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.158343
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.822812

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500839
		(b) V_n_obs (Total # of runs) = 499820
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.252568
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.720953

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500518
		(b) V_n_obs (Total # of runs) = 500137
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.194506
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.783260

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500111
		(b) V_n_obs (Total # of runs) = 500312
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.441270
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.532595

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499764
		(b) V_n_obs (Total # of runs) = 500363
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.513517
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.467702

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500013
		(b) V_n_obs (Total # of runs) = 500040
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.056569
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.936237

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500647
		(b) V_n_obs (Total # of runs) = 499767
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.328328
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.642414

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499924
		(b) V_n_obs (Total # of runs) = 500966
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.366147
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.053357

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499728
		(b) V_n_obs (Total # of runs) = 499584
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.588104
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.405576

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499642
		(b) V_n_obs (Total # of runs) = 499855
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.204699
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.772208

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500825
		(b) V_n_obs (Total # of runs) = 500639
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.905610
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.200290

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500068
		(b) V_n_obs (Total # of runs) = 500055
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.077795
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.912395

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500605
		(b) V_n_obs (Total # of runs) = 500139
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.197611
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.779888

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500094
		(b) V_n_obs (Total # of runs) = 499118
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.247311
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.077738

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500566
		(b) V_n_obs (Total # of runs) = 498925
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.519375
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.031656

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499251
		(b) V_n_obs (Total # of runs) = 500081
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.116138
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.869539

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500046
		(b) V_n_obs (Total # of runs) = 499525
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.671745
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.342117

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499808
		(b) V_n_obs (Total # of runs) = 500029
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.041116
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.953631

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500386
		(b) V_n_obs (Total # of runs) = 500170
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.240838
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.733408

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500361
		(b) V_n_obs (Total # of runs) = 500663
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.937993
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.184667

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499539
		(b) V_n_obs (Total # of runs) = 499355
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.911567
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.197346

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500225
		(b) V_n_obs (Total # of runs) = 500329
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.465420
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.510408

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499513
		(b) V_n_obs (Total # of runs) = 499595
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.572086
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.418485

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499813
		(b) V_n_obs (Total # of runs) = 499697
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.428408
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.544608

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499916
		(b) V_n_obs (Total # of runs) = 499929
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.100389
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.887102

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500031
		(b) V_n_obs (Total # of runs) = 500784
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.108746
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.116880

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499988
		(b) V_n_obs (Total # of runs) = 499577
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.598212
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.397553

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499403
		(b) V_n_obs (Total # of runs) = 500394
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.558209
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.429863

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500589
		(b) V_n_obs (Total # of runs) = 499324
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.955028
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.176819

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500319
		(b) V_n_obs (Total # of runs) = 499764
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.333467
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.637217

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500538
		(b) V_n_obs (Total # of runs) = 500149
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.211537
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.764819

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500190
		(b) V_n_obs (Total # of runs) = 499528
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.667407
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.345243

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500399
		(b) V_n_obs (Total # of runs) = 499784
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.305020
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.666204

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499274
		(b) V_n_obs (Total # of runs) = 499595
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.571267
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.419152

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500410
		(b) V_n_obs (Total # of runs) = 499779
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.312066
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.658976

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499312
		(b) V_n_obs (Total # of runs) = 499995
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.005732
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.993532

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500373
		(b) V_n_obs (Total # of runs) = 500006
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.008879
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.989982

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499549
		(b) V_n_obs (Total # of runs) = 499940
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.084278
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.905128

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500226
		(b) V_n_obs (Total # of runs) = 499865
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.190774
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.787317

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499767
		(b) V_n_obs (Total # of runs) = 500055
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.077935
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.912237

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499975
		(b) V_n_obs (Total # of runs) = 500140
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.197992
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.779476

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499956
		(b) V_n_obs (Total # of runs) = 499941
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.083433
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.906074

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500303
		(b) V_n_obs (Total # of runs) = 500641
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.906771
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.199714

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500271
		(b) V_n_obs (Total # of runs) = 499597
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.569721
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.420412

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499669
		(b) V_n_obs (Total # of runs) = 499839
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.227379
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.747785

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500433
		(b) V_n_obs (Total # of runs) = 500897
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.269081
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.072693

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500803
		(b) V_n_obs (Total # of runs) = 500594
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.841869
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.233818

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500215
		(b) V_n_obs (Total # of runs) = 499491
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.719704
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.308766

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500175
		(b) V_n_obs (Total # of runs) = 499547
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.640552
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.365001

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499449
		(b) V_n_obs (Total # of runs) = 499584
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.587455
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.406094

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500134
		(b) V_n_obs (Total # of runs) = 499824
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.248851
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.724892

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499989
		(b) V_n_obs (Total # of runs) = 499494
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.715592
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.311538

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499710
		(b) V_n_obs (Total # of runs) = 499794
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.291090
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.680586

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499401
		(b) V_n_obs (Total # of runs) = 499349
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.919640
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.193407

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499835
		(b) V_n_obs (Total # of runs) = 500286
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.404542
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.567248

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499974
		(b) V_n_obs (Total # of runs) = 500053
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.074955
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.915580

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499169
		(b) V_n_obs (Total # of runs) = 500396
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.561983
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.426751

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499642
		(b) V_n_obs (Total # of runs) = 499864
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.191971
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.786016

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499925
		(b) V_n_obs (Total # of runs) = 499069
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.316617
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.062606

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499885
		(b) V_n_obs (Total # of runs) = 499825
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.247450
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.726378

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499518
		(b) V_n_obs (Total # of runs) = 500765
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.082531
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.125787

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500402
		(b) V_n_obs (Total # of runs) = 499335
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.939996
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.183731

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499433
		(b) V_n_obs (Total # of runs) = 500032
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.046164
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.947946

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499302
		(b) V_n_obs (Total # of runs) = 499300
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.988573
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.162097

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499890
		(b) V_n_obs (Total # of runs) = 499461
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.762227
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.281055

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500206
		(b) V_n_obs (Total # of runs) = 500128
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.181139
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.797820

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499060
		(b) V_n_obs (Total # of runs) = 499861
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.194077
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.783726

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499500
		(b) V_n_obs (Total # of runs) = 499755
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.345776
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.624841

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500122
		(b) V_n_obs (Total # of runs) = 499729
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.383210
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.587859

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500448
		(b) V_n_obs (Total # of runs) = 499839
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.227121
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.748061

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499163
		(b) V_n_obs (Total # of runs) = 501161
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.643888
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.020082

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500354
		(b) V_n_obs (Total # of runs) = 500659
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.932322
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.187336

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499482
		(b) V_n_obs (Total # of runs) = 499186
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.150412
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.103752

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500293
		(b) V_n_obs (Total # of runs) = 499911
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.125622
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.858993

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500356
		(b) V_n_obs (Total # of runs) = 499749
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.354609
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.616024

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499563
		(b) V_n_obs (Total # of runs) = 499818
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.256847
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.716428

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500119
		(b) V_n_obs (Total # of runs) = 499663
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.476550
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.500347

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500622
		(b) V_n_obs (Total # of runs) = 499461
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.761168
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.281724

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499915
		(b) V_n_obs (Total # of runs) = 499870
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.183827
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.794886

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500726
		(b) V_n_obs (Total # of runs) = 499196
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.135539
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.108297

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500118
		(b) V_n_obs (Total # of runs) = 500283
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.400262
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.571356

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499770
		(b) V_n_obs (Total # of runs) = 499399
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.849793
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.229445

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500172
		(b) V_n_obs (Total # of runs) = 500420
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.594053
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.400842

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499887
		(b) V_n_obs (Total # of runs) = 499931
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.097545
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.890281

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500033
		(b) V_n_obs (Total # of runs) = 499601
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.564268
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.424873

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500697
		(b) V_n_obs (Total # of runs) = 499640
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.507744
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.472721

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500219
		(b) V_n_obs (Total # of runs) = 500470
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.664816
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.347119

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500420
		(b) V_n_obs (Total # of runs) = 499739
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.368611
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.602161

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500395
		(b) V_n_obs (Total # of runs) = 498964
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.464685
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.038324

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499657
		(b) V_n_obs (Total # of runs) = 499632
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.520098
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.462017

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499965
		(b) V_n_obs (Total # of runs) = 499910
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.127276
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.857156

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500089
		(b) V_n_obs (Total # of runs) = 499918
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.115943
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.869756

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499143
		(b) V_n_obs (Total # of runs) = 500041
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.060060
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.932311

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499598
		(b) V_n_obs (Total # of runs) = 500516
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.730192
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.301769

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500215
		(b) V_n_obs (Total # of runs) = 498936
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.504593
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.033352

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499490
		(b) V_n_obs (Total # of runs) = 499921
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.110987
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.875277

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499280
		(b) V_n_obs (Total # of runs) = 499588
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.581191
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.411118

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500206
		(b) V_n_obs (Total # of runs) = 500818
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.156947
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.101804

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499760
		(b) V_n_obs (Total # of runs) = 501816
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.568375
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.000281

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500092
		(b) V_n_obs (Total # of runs) = 500946
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.337870
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.058486

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499583
		(b) V_n_obs (Total # of runs) = 500164
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.232423
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.742386

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500524
		(b) V_n_obs (Total # of runs) = 500567
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.802637
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.256334

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499698
		(b) V_n_obs (Total # of runs) = 499749
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.354710
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.615924

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499488
		(b) V_n_obs (Total # of runs) = 500072
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.102565
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.884672

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499865
		(b) V_n_obs (Total # of runs) = 499416
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.825849
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.242836

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499405
		(b) V_n_obs (Total # of runs) = 499701
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.421849
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.550785

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500905
		(b) V_n_obs (Total # of runs) = 498395
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 2.267504
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
FAILURE		p_value = 0.001343

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499058
		(b) V_n_obs (Total # of runs) = 499882
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.164368
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.816187

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500918
		(b) V_n_obs (Total # of runs) = 500315
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.447862
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.526490

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499634
		(b) V_n_obs (Total # of runs) = 500169
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.239381
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.734959

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499908
		(b) V_n_obs (Total # of runs) = 499628
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.526064
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.456897

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500088
		(b) V_n_obs (Total # of runs) = 499603
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.561421
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.427213

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499800
		(b) V_n_obs (Total # of runs) = 500111
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.157091
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.824189

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499743
		(b) V_n_obs (Total # of runs) = 500662
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.936396
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.185415

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499721
		(b) V_n_obs (Total # of runs) = 498864
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.606327
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.023105

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500793
		(b) V_n_obs (Total # of runs) = 500128
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.182798
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.796009

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500552
		(b) V_n_obs (Total # of runs) = 500215
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.304918
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.666309

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500542
		(b) V_n_obs (Total # of runs) = 500167
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.237005
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.737493

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500255
		(b) V_n_obs (Total # of runs) = 499917
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.117196
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.868362

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500946
		(b) V_n_obs (Total # of runs) = 500605
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.858133
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.224907

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500664
		(b) V_n_obs (Total # of runs) = 500208
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.295404
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.676119

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500367
		(b) V_n_obs (Total # of runs) = 499497
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.710969
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.314675

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500203
		(b) V_n_obs (Total # of runs) = 498976
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.448038
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.040576

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499794
		(b) V_n_obs (Total # of runs) = 500124
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.175483
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.804003

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499383
		(b) V_n_obs (Total # of runs) = 500743
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.051839
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.136876

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499917
		(b) V_n_obs (Total # of runs) = 500134
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.189524
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.788678

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499986
		(b) V_n_obs (Total # of runs) = 500334
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.472348
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.504133

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500956
		(b) V_n_obs (Total # of runs) = 500019
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.029455
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.966773

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499767
		(b) V_n_obs (Total # of runs) = 500328
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.464016
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.511684

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500030
		(b) V_n_obs (Total # of runs) = 500134
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.189507
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.788697

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499961
		(b) V_n_obs (Total # of runs) = 499912
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.124446
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.860299

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500506
		(b) V_n_obs (Total # of runs) = 499290
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 1.003368
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.155906

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499126
		(b) V_n_obs (Total # of runs) = 499878
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.170374
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.809598

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500388
		(b) V_n_obs (Total # of runs) = 499963
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.051900
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.941490

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499095
		(b) V_n_obs (Total # of runs) = 500277
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.394055
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.577338

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500658
		(b) V_n_obs (Total # of runs) = 499957
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.059587
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.932843

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500510
		(b) V_n_obs (Total # of runs) = 500423
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.598949
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.396972

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500242
		(b) V_n_obs (Total # of runs) = 499434
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.800279
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.257733

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500251
		(b) V_n_obs (Total # of runs) = 500464
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.656373
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.353277

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500124
		(b) V_n_obs (Total # of runs) = 500681
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.963123
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.173178

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.499756
		(b) V_n_obs (Total # of runs) = 500512
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.724246
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.305723

				RUNS TEST
		------------------------------------------
		COMPUTATIONAL INFORMATION:
		------------------------------------------
		(a) Pi                        = 0.500124
		(b) V_n_obs (Total # of runs) = 499459
		(c) V_n_obs - 2 n pi (1-pi)
		    -----------------------   = 0.765046
		      2 sqrt(2n) pi (1-pi)
		------------------------------------------
SUCCESS		p_value = 0.279280

