Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

Correct

67Size
Leading solution size is 39.
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test
Code Input and Output
1
Pass
 
%%
x = 1000;
y_correct =  31875000;
assert(isequal(euler009(x),y_correct))
Cheating is a sin against which commandment?
jj =
     0
jj =
    0.8415
jj =
    0.9093
jj =
    0.1411
jj =
   -0.7568
jj =
   -0.9589
jj =
   -0.2794
jj =
    0.6570
jj =
    0.9894
jj =
    0.4121
jj =
   -0.5440
jj =
   -1.0000
jj =
   -0.5366
jj =
    0.4202
jj =
    0.9906
jj =
    0.6503
jj =
   -0.2879
jj =
   -0.9614
jj =
   -0.7510
jj =
    0.1499
jj =
    0.9129
jj =
    0.8367
jj =
   -0.0089
jj =
   -0.8462
jj =
   -0.9056
jj =
   -0.1324
jj =
    0.7626
jj =
    0.9564
jj =
    0.2709
jj =
   -0.6636
jj =
   -0.9880
jj =
   -0.4040
jj =
    0.5514
jj =
    0.9999
jj =
    0.5291
jj =
   -0.4282
jj =
   -0.9918
jj =
   -0.6435
jj =
    0.2964
jj =
    0.9638
jj =
    0.7451
jj =
   -0.1586
jj =
   -0.9165
jj =
   -0.8318
jj =
    0.0177
jj =
    0.8509
jj =
    0.9018
jj =
    0.1236
jj =
   -0.7683
jj =
   -0.9538
jj =
   -0.2624
jj =
    0.6702
jj =
    0.9866
jj =
    0.3959
jj =
   -0.5588
jj =
   -0.9998
jj =
   -0.5216
jj =
    0.4362
jj =
    0.9929
jj =
    0.6367
jj =
   -0.3048
jj =
   -0.9661
jj =
   -0.7392
jj =
    0.1674
jj =
    0.9200
jj =
    0.8268
jj =
   -0.0266
jj =
   -0.8555
jj =
   -0.8979
jj =
   -0.1148
jj =
    0.7739
jj =
    0.9511
jj =
    0.2538
jj =
   -0.6768
jj =
   -0.9851
jj =
   -0.3878
jj =
    0.5661
jj =
    0.9995
jj =
    0.5140
jj =
   -0.4441
jj =
   -0.9939
jj =
   -0.6299
jj =
    0.3132
jj =
    0.9684
jj =
    0.7332
jj =
   -0.1761
jj =
   -0.9235
jj =
   -0.8218
jj =
    0.0354
jj =
    0.8601
jj =
    0.8940
jj =
    0.1060
jj =
   -0.7795
jj =
   -0.9483
jj =
   -0.2453
jj =
    0.6833
jj =
    0.9836
jj =
    0.3796
jj =
   -0.5734
jj =
   -0.9992
jj =
   -0.5064
jj =
    0.4520
jj =
    0.9948
jj =
    0.6230
jj =
   -0.3216
jj =
   -0.9705
jj =
   -0.7271
jj =
    0.1848
jj =
    0.9268
jj =
    0.8167
jj =
   -0.0442
jj =
   -0.8646
jj =
   -0.8900
jj =
   -0.0972
jj =
    0.7850
jj =
    0.9454
jj =
    0.2367
jj =
   -0.6897
jj =
   -0.9820
jj =
   -0.3714
jj =
    0.5806
jj =
    0.9988
jj =
    0.4987
jj =
   -0.4599
jj =
   -0.9957
jj =
   -0.6160
jj =
    0.3300
jj =
    0.9726
jj =
    0.7210
jj =
   -0.1935
jj =
   -0.9301
jj =
   -0.8116
jj =
    0.0531
jj =
    0.8690
jj =
    0.8859
jj =
    0.0884
jj =
   -0.7904
jj =
   -0.9425
jj =
   -0.2281
jj =
    0.6961
jj =
    0.9802
jj =
    0.3632
jj =
   -0.5878
jj =
   -0.9983
jj =
   -0.4910
jj =
    0.4677
jj =
    0.9965
jj =
    0.6090
jj =
   -0.3383
jj =
   -0.9746
jj =
   -0.7149
jj =
    0.2021
jj =
    0.9333
jj =
    0.8064
jj =
   -0.0619
jj =
   -0.8733
jj =
   -0.8818
jj =
   -0.0795
jj =
    0.7958
jj =
    0.9395
jj =
    0.2194
jj =
   -0.7024
jj =
   -0.9785
jj =
   -0.3549
jj =
    0.5949
jj =
    0.9978
jj =
    0.4833
jj =
   -0.4756
jj =
   -0.9972
jj =
   -0.6020
jj =
    0.3466
jj =
    0.9766
jj =
    0.7087
jj =
   -0.2108
jj =
   -0.9365
jj =
   -0.8011
jj =
    0.0708
jj =
    0.8776
jj =
    0.8776
jj =
    0.0707
jj =
   -0.8012
jj =
   -0.9365
jj =
   -0.2108
jj =
    0.7087
jj =
    0.9766
jj =
    0.3466
jj =
   -0.6020
jj =
   -0.9972
jj =
   -0.4755
jj =
    0.4833
jj =
    0.9978
jj =
    0.5949
jj =
   -0.3549
jj =
   -0.9785
jj =
   -0.7024
jj =
    0.2195
jj =
    0.9395
jj =
    0.7958
jj =
   -0.0796
jj =
   -0.8818
jj =
   -0.8733
jj =
   -0.0619
jj =
    0.8064
jj =
    0.9333
jj =
    0.2021
jj =
   -0.7149
jj =
   -0.9746
jj =
   -0.3383
jj =
    0.6091
jj =
    0.9965
jj =
    0.4677
jj =
   -0.4910
jj =
   -0.9983
jj =
   -0.5878
jj =
    0.3632
jj =
    0.9802
jj =
    0.6961
jj =
   -0.2281
jj =
   -0.9425
jj =
   -0.7904
jj =
    0.0884
jj =
    0.8859
jj =
    0.8690
jj =
    0.0531
jj =
   -0.8116
jj =
   -0.9301
jj =
   -0.1934
jj =
    0.7211
jj =
    0.9726
jj =
    0.3300
jj =
   -0.6161
jj =
   -0.9957
jj =
   -0.4599
jj =
    0.4987
jj =
    0.9988
jj =
    0.5806
jj =
   -0.3714
jj =
   -0.9820
jj =
   -0.6897
jj =
    0.2367
jj =
    0.9454
jj =
    0.7850
jj =
   -0.0972
jj =
   -0.8900
jj =
   -0.8645
jj =
   -0.0442
jj =
    0.8168
jj =
    0.9268
jj =
    0.1848
jj =
   -0.7272
jj =
   -0.9705
jj =
   -0.3216
jj =
    0.6230
jj =
    0.9948
jj =
    0.4520
jj =
   -0.5064
jj =
   -0.9992
jj =
   -0.5734
jj =
    0.3796
jj =
    0.9836
jj =
    0.6832
jj =
   -0.2453
jj =
   -0.9483
jj =
   -0.7794
jj =
    0.1060
jj =
    0.8940
jj =
    0.8601
jj =
    0.0354
jj =
   -0.8218
jj =
   -0.9234
jj =
   -0.1760
jj =
    0.7332
jj =
    0.9684
jj =
    0.3132
jj =
   -0.6299
jj =
   -0.9939
jj =
   -0.4441
jj =
    0.5140
jj =
    0.9995
jj =
    0.5661
jj =
   -0.3878
jj =
   -0.9852
jj =
   -0.6767
jj =
    0.2539
jj =
    0.9511
jj =
    0.7739
jj =
   -0.1148
jj =
   -0.8979
jj =
   -0.8555
jj =
   -0.0265
jj =
    0.8268
jj =
    0.9200
jj =
    0.1673
jj =
   -0.7392
jj =
   -0.9661
jj =
   -0.3048
jj =
    0.6368
jj =
    0.9929
jj =
    0.4361
jj =
   -0.5216
jj =
   -0.9998
jj =
   -0.5588
jj =
    0.3960
jj =
    0.9866
jj =
    0.6702
jj =
   -0.2624
jj =
   -0.9538
jj =
   -0.7682
jj =
    0.1236
jj =
    0.9018
jj =
    0.8509
jj =
    0.0177
jj =
   -0.8318
jj =
   -0.9165
jj =
   -0.1586
jj =
    0.7451
jj =
    0.9638
jj =
    0.2963
jj =
   -0.6436
jj =
   -0.9918
jj =
   -0.4282
jj =
    0.5291
jj =
    0.9999
jj =
    0.5514
jj =
   -0.4041
jj =
   -0.9880
jj =
   -0.6636
jj =
    0.2709
jj =
    0.9564
jj =
    0.7625
jj =
   -0.1324
jj =
   -0.9056
jj =
   -0.8462
jj =
   -0.0088
jj =
    0.8367
jj =
    0.9129
jj =
    0.1498
jj =
   -0.7510
jj =
   -0.9614
jj =
   -0.2879
jj =
    0.6503
jj =
    0.9906
jj =
    0.4201
jj =
   -0.5366
jj =
   -1.0000
jj =
   -0.5440
jj =
    0.4121
jj =
    0.9894
jj =
    0.6570
jj =
   -0.2794
jj =
   -0.9589
jj =
   -0.7568
jj =
    0.1411
jj =
    0.9093
jj =
    0.8415
jj =
  -3.0144e-05
jj =
   -0.8415
jj =
   -0.9093
jj =
   -0.1411
jj =
    0.7568
jj =
    0.9589
jj =
    0.2794
jj =
   -0.6570
jj =
   -0.9894
jj =
   -0.4121
jj =
    0.5440
jj =
    1.0000
jj =
    0.5365
jj =
   -0.4202
jj =
   -0.9906
jj =
   -0.6503
jj =
    0.2879
jj =
    0.9614
jj =
    0.7510
jj =
   -0.1499
jj =
   -0.9130
jj =
   -0.8366
jj =
    0.0089
jj =
    0.8462
jj =
    0.9056
jj =
    0.1323
jj =
   -0.7626
jj =
   -0.9564
jj =
   -0.2709
jj =
    0.6637
jj =
    0.9880
jj =
    0.4040
jj =
   -0.5515
jj =
   -0.9999
jj =
   -0.5291
jj =
    0.4282
jj =
    0.9918
jj =
    0.6435
jj =
   -0.2964
jj =
   -0.9638
jj =
   -0.7451
jj =
    0.1587
jj =
    0.9165
jj =
    0.8318
jj =
   -0.0177
jj =
   -0.8509
jj =
   -0.9018
jj =
   -0.1235
jj =
    0.7683
jj =
    0.9537
jj =
    0.2623
jj =
   -0.6703
jj =
   -0.9866
jj =
   -0.3959
jj =
    0.5588
jj =
    0.9998
jj =
    0.5215
jj =
   -0.4362
jj =
   -0.9929
jj =
   -0.6367
jj =
    0.3048
jj =
    0.9661
jj =
    0.7392
jj =
   -0.1674
jj =
   -0.9200
jj =
   -0.8268
jj =
    0.0266
jj =
    0.8555
jj =
    0.8979
jj =
    0.1148
jj =
   -0.7739
jj =
   -0.9510
jj =
   -0.2538
jj =
    0.6768
jj =
    0.9851
jj =
    0.3878
jj =
   -0.5661
jj =
   -0.9995
jj =
   -0.5140
jj =
    0.4441
jj =
    0.9939
jj =
    0.6299
jj =
   -0.3133
jj =
   -0.9684
jj =
   -0.7332
jj =
    0.1761
jj =
    0.9235
jj =
    0.8218
jj =
   -0.0354
jj =
   -0.8601
jj =
   -0.8940
jj =
   -0.1060
jj =
    0.7795
jj =
    0.9483
jj =
    0.2452
jj =
   -0.6833
jj =
   -0.9836
jj =
   -0.3796
jj =
    0.5734
jj =
    0.9992
jj =
    0.5063
jj =
   -0.4521
jj =
   -0.9948
jj =
   -0.6230
jj =
    0.3217
jj =
    0.9705
jj =
    0.7271
jj =
   -0.1848
jj =
   -0.9268
jj =
   -0.8167
jj =
    0.0443
jj =
    0.8646
jj =
    0.8900
jj =
    0.0972
jj =
   -0.7850
jj =
   -0.9454
jj =
   -0.2366
jj =
    0.6897
jj =
    0.9819
jj =
    0.3714
jj =
   -0.5806
jj =
   -0.9988
jj =
   -0.4987
jj =
    0.4599
jj =
    0.9957
jj =
    0.6160
jj =
   -0.3300
jj =
   -0.9726
jj =
   -0.7210
jj =
    0.1935
jj =
    0.9301
jj =
    0.8116
jj =
   -0.0531
jj =
   -0.8690
jj =
   -0.8859
jj =
   -0.0883
jj =
    0.7905
jj =
    0.9425
jj =
    0.2280
jj =
   -0.6961
jj =
   -0.9802
jj =
   -0.3631
jj =
    0.5878
jj =
    0.9983
jj =
    0.4910
jj =
   -0.4678
jj =
   -0.9965
jj =
   -0.6090
jj =
    0.3384
jj =
    0.9747
jj =
    0.7149
jj =
   -0.2022
jj =
   -0.9333
jj =
   -0.8064
jj =
    0.0620
jj =
    0.8733
jj =
    0.8818
jj =
    0.0795
jj =
   -0.7958
jj =
   -0.9395
jj =
   -0.2194
jj =
    0.7024
jj =
    0.9784
jj =
    0.3549
jj =
   -0.5950
jj =
   -0.9978
jj =
   -0.4833
jj =
    0.4756
jj =
    0.9972
jj =
    0.6020
jj =
   -0.3467
jj =
   -0.9766
jj =
   -0.7086
jj =
    0.2108
jj =
    0.9365
jj =
    0.8011
jj =
   -0.0708
jj =
   -0.8776
jj =
   -0.8776
jj =
   -0.0707
jj =
    0.8012
jj =
    0.9364
jj =
    0.2108
jj =
   -0.7087
jj =
   -0.9766
jj =
   -0.3466
jj =
    0.6020
jj =
    0.9972
jj =
    0.4755
jj =
   -0.4833
jj =
   -0.9978
jj =
   -0.5949
jj =
    0.3550
jj =
    0.9785
jj =
    0.7024
jj =
   -0.2195
jj =
   -0.9395
jj =
   -0.7958
jj =
    0.0796
jj =
    0.8818
jj =
    0.8733
jj =
    0.0619
jj =
   -0.8064
jj =
   -0.9333
jj =
   -0.2021
jj =
    0.7149
jj =
    0.9746
jj =
    0.3383
jj =
   -0.6091
jj =
   -0.9965
jj =
   -0.4677
jj =
    0.4911
jj =
    0.9983
jj =
    0.5877
jj =
   -0.3632
jj =
   -0.9803
jj =
   -0.6960
jj =
    0.2281
jj =
    0.9425
jj =
    0.7904
jj =
   -0.0884
jj =
   -0.8860
jj =
   -0.8689
jj =
   -0.0530
jj =
    0.8116
jj =
    0.9301
jj =
    0.1934
jj =
   -0.7211
jj =
   -0.9726
jj =
   -0.3299
jj =
    0.6161
jj =
    0.9957
jj =
    0.4598
jj =
   -0.4988
jj =
   -0.9988
jj =
   -0.5806
jj =
    0.3715
jj =
    0.9820
jj =
    0.6897
jj =
   -0.2367
jj =
   -0.9455
jj =
   -0.7849
jj =
    0.0972
jj =
    0.8900
jj =
    0.8645
jj =
    0.0442
jj =
   -0.8168
jj =
   -0.9268
jj =
   -0.1847
jj =
    0.7272
jj =
    0.9705
jj =
    0.3216
jj =
   -0.6230
jj =
   -0.9948
jj =
   -0.4520
jj =
    0.5064
jj =
    0.9992
jj =
    0.5733
jj =
   -0.3797
jj =
   -0.9836
jj =
   -0.6832
jj =
    0.2453
jj =
    0.9483
jj =
    0.7794
jj =
   -0.1060
jj =
   -0.8940
jj =
   -0.8600
jj ...
2
Pass
 
%%
x = 2000;
y_correct =  255000000;
assert(isequal(euler009(x),y_correct))
Cheating is a sin against which commandment?
jj =
     0
jj =
    0.8415
jj =
    0.9093
jj =
    0.1411
jj =
   -0.7568
jj =
   -0.9589
jj =
   -0.2794
jj =
    0.6570
jj =
    0.9894
jj =
    0.4121
jj =
   -0.5440
jj =
   -1.0000
jj =
   -0.5366
jj =
    0.4202
jj =
    0.9906
jj =
    0.6503
jj =
   -0.2879
jj =
   -0.9614
jj =
   -0.7510
jj =
    0.1499
jj =
    0.9129
jj =
    0.8367
jj =
   -0.0089
jj =
   -0.8462
jj =
   -0.9056
jj =
   -0.1324
jj =
    0.7626
jj =
    0.9564
jj =
    0.2709
jj =
   -0.6636
jj =
   -0.9880
jj =
   -0.4040
jj =
    0.5514
jj =
    0.9999
jj =
    0.5291
jj =
   -0.4282
jj =
   -0.9918
jj =
   -0.6435
jj =
    0.2964
jj =
    0.9638
jj =
    0.7451
jj =
   -0.1586
jj =
   -0.9165
jj =
   -0.8318
jj =
    0.0177
jj =
    0.8509
jj =
    0.9018
jj =
    0.1236
jj =
   -0.7683
jj =
   -0.9538
jj =
   -0.2624
jj =
    0.6702
jj =
    0.9866
jj =
    0.3959
jj =
   -0.5588
jj =
   -0.9998
jj =
   -0.5216
jj =
    0.4362
jj =
    0.9929
jj =
    0.6367
jj =
   -0.3048
jj =
   -0.9661
jj =
   -0.7392
jj =
    0.1674
jj =
    0.9200
jj =
    0.8268
jj =
   -0.0266
jj =
   -0.8555
jj =
   -0.8979
jj =
   -0.1148
jj =
    0.7739
jj =
    0.9511
jj =
    0.2538
jj =
   -0.6768
jj =
   -0.9851
jj =
   -0.3878
jj =
    0.5661
jj =
    0.9995
jj =
    0.5140
jj =
   -0.4441
jj =
   -0.9939
jj =
   -0.6299
jj =
    0.3132
jj =
    0.9684
jj =
    0.7332
jj =
   -0.1761
jj =
   -0.9235
jj =
   -0.8218
jj =
    0.0354
jj =
    0.8601
jj =
    0.8940
jj =
    0.1060
jj =
   -0.7795
jj =
   -0.9483
jj =
   -0.2453
jj =
    0.6833
jj =
    0.9836
jj =
    0.3796
jj =
   -0.5734
jj =
   -0.9992
jj =
   -0.5064
jj =
    0.4520
jj =
    0.9948
jj =
    0.6230
jj =
   -0.3216
jj =
   -0.9705
jj =
   -0.7271
jj =
    0.1848
jj =
    0.9268
jj =
    0.8167
jj =
   -0.0442
jj =
   -0.8646
jj =
   -0.8900
jj =
   -0.0972
jj =
    0.7850
jj =
    0.9454
jj =
    0.2367
jj =
   -0.6897
jj =
   -0.9820
jj =
   -0.3714
jj =
    0.5806
jj =
    0.9988
jj =
    0.4987
jj =
   -0.4599
jj =
   -0.9957
jj =
   -0.6160
jj =
    0.3300
jj =
    0.9726
jj =
    0.7210
jj =
   -0.1935
jj =
   -0.9301
jj =
   -0.8116
jj =
    0.0531
jj =
    0.8690
jj =
    0.8859
jj =
    0.0884
jj =
   -0.7904
jj =
   -0.9425
jj =
   -0.2281
jj =
    0.6961
jj =
    0.9802
jj =
    0.3632
jj =
   -0.5878
jj =
   -0.9983
jj =
   -0.4910
jj =
    0.4677
jj =
    0.9965
jj =
    0.6090
jj =
   -0.3383
jj =
   -0.9746
jj =
   -0.7149
jj =
    0.2021
jj =
    0.9333
jj =
    0.8064
jj =
   -0.0619
jj =
   -0.8733
jj =
   -0.8818
jj =
   -0.0795
jj =
    0.7958
jj =
    0.9395
jj =
    0.2194
jj =
   -0.7024
jj =
   -0.9785
jj =
   -0.3549
jj =
    0.5949
jj =
    0.9978
jj =
    0.4833
jj =
   -0.4756
jj =
   -0.9972
jj =
   -0.6020
jj =
    0.3466
jj =
    0.9766
jj =
    0.7087
jj =
   -0.2108
jj =
   -0.9365
jj =
   -0.8011
jj =
    0.0708
jj =
    0.8776
jj =
    0.8776
jj =
    0.0707
jj =
   -0.8012
jj =
   -0.9365
jj =
   -0.2108
jj =
    0.7087
jj =
    0.9766
jj =
    0.3466
jj =
   -0.6020
jj =
   -0.9972
jj =
   -0.4755
jj =
    0.4833
jj =
    0.9978
jj =
    0.5949
jj =
   -0.3549
jj =
   -0.9785
jj =
   -0.7024
jj =
    0.2195
jj =
    0.9395
jj =
    0.7958
jj =
   -0.0796
jj =
   -0.8818
jj =
   -0.8733
jj =
   -0.0619
jj =
    0.8064
jj =
    0.9333
jj =
    0.2021
jj =
   -0.7149
jj =
   -0.9746
jj =
   -0.3383
jj =
    0.6091
jj =
    0.9965
jj =
    0.4677
jj =
   -0.4910
jj =
   -0.9983
jj =
   -0.5878
jj =
    0.3632
jj =
    0.9802
jj =
    0.6961
jj =
   -0.2281
jj =
   -0.9425
jj =
   -0.7904
jj =
    0.0884
jj =
    0.8859
jj =
    0.8690
jj =
    0.0531
jj =
   -0.8116
jj =
   -0.9301
jj =
   -0.1934
jj =
    0.7211
jj =
    0.9726
jj =
    0.3300
jj =
   -0.6161
jj =
   -0.9957
jj =
   -0.4599
jj =
    0.4987
jj =
    0.9988
jj =
    0.5806
jj =
   -0.3714
jj =
   -0.9820
jj =
   -0.6897
jj =
    0.2367
jj =
    0.9454
jj =
    0.7850
jj =
   -0.0972
jj =
   -0.8900
jj =
   -0.8645
jj =
   -0.0442
jj =
    0.8168
jj =
    0.9268
jj =
    0.1848
jj =
   -0.7272
jj =
   -0.9705
jj =
   -0.3216
jj =
    0.6230
jj =
    0.9948
jj =
    0.4520
jj =
   -0.5064
jj =
   -0.9992
jj =
   -0.5734
jj =
    0.3796
jj =
    0.9836
jj =
    0.6832
jj =
   -0.2453
jj =
   -0.9483
jj =
   -0.7794
jj =
    0.1060
jj =
    0.8940
jj =
    0.8601
jj =
    0.0354
jj =
   -0.8218
jj =
   -0.9234
jj =
   -0.1760
jj =
    0.7332
jj =
    0.9684
jj =
    0.3132
jj =
   -0.6299
jj =
   -0.9939
jj =
   -0.4441
jj =
    0.5140
jj =
    0.9995
jj =
    0.5661
jj =
   -0.3878
jj =
   -0.9852
jj =
   -0.6767
jj =
    0.2539
jj =
    0.9511
jj =
    0.7739
jj =
   -0.1148
jj =
   -0.8979
jj =
   -0.8555
jj =
   -0.0265
jj =
    0.8268
jj =
    0.9200
jj =
    0.1673
jj =
   -0.7392
jj =
   -0.9661
jj =
   -0.3048
jj =
    0.6368
jj =
    0.9929
jj =
    0.4361
jj =
   -0.5216
jj =
   -0.9998
jj =
   -0.5588
jj =
    0.3960
jj =
    0.9866
jj =
    0.6702
jj =
   -0.2624
jj =
   -0.9538
jj =
   -0.7682
jj =
    0.1236
jj =
    0.9018
jj =
    0.8509
jj =
    0.0177
jj =
   -0.8318
jj =
   -0.9165
jj =
   -0.1586
jj =
    0.7451
jj =
    0.9638
jj =
    0.2963
jj =
   -0.6436
jj =
   -0.9918
jj =
   -0.4282
jj =
    0.5291
jj =
    0.9999
jj =
    0.5514
jj =
   -0.4041
jj =
   -0.9880
jj =
   -0.6636
jj =
    0.2709
jj =
    0.9564
jj =
    0.7625
jj =
   -0.1324
jj =
   -0.9056
jj =
   -0.8462
jj =
   -0.0088
jj =
    0.8367
jj =
    0.9129
jj =
    0.1498
jj =
   -0.7510
jj =
   -0.9614
jj =
   -0.2879
jj =
    0.6503
jj =
    0.9906
jj =
    0.4201
jj =
   -0.5366
jj =
   -1.0000
jj =
   -0.5440
jj =
    0.4121
jj =
    0.9894
jj =
    0.6570
jj =
   -0.2794
jj =
   -0.9589
jj =
   -0.7568
jj =
    0.1411
jj =
    0.9093
jj =
    0.8415
jj =
  -3.0144e-05
jj =
   -0.8415
jj =
   -0.9093
jj =
   -0.1411
jj =
    0.7568
jj =
    0.9589
jj =
    0.2794
jj =
   -0.6570
jj =
   -0.9894
jj =
   -0.4121
jj =
    0.5440
jj =
    1.0000
jj =
    0.5365
jj =
   -0.4202
jj =
   -0.9906
jj =
   -0.6503
jj =
    0.2879
jj =
    0.9614
jj =
    0.7510
jj =
   -0.1499
jj =
   -0.9130
jj =
   -0.8366
jj =
    0.0089
jj =
    0.8462
jj =
    0.9056
jj =
    0.1323
jj =
   -0.7626
jj =
   -0.9564
jj =
   -0.2709
jj =
    0.6637
jj =
    0.9880
jj =
    0.4040
jj =
   -0.5515
jj =
   -0.9999
jj =
   -0.5291
jj =
    0.4282
jj =
    0.9918
jj =
    0.6435
jj =
   -0.2964
jj =
   -0.9638
jj =
   -0.7451
jj =
    0.1587
jj =
    0.9165
jj =
    0.8318
jj =
   -0.0177
jj =
   -0.8509
jj =
   -0.9018
jj =
   -0.1235
jj =
    0.7683
jj =
    0.9537
jj =
    0.2623
jj =
   -0.6703
jj =
   -0.9866
jj =
   -0.3959
jj =
    0.5588
jj =
    0.9998
jj =
    0.5215
jj =
   -0.4362
jj =
   -0.9929
jj =
   -0.6367
jj =
    0.3048
jj =
    0.9661
jj =
    0.7392
jj =
   -0.1674
jj =
   -0.9200
jj =
   -0.8268
jj =
    0.0266
jj =
    0.8555
jj =
    0.8979
jj =
    0.1148
jj =
   -0.7739
jj =
   -0.9510
jj =
   -0.2538
jj =
    0.6768
jj =
    0.9851
jj =
    0.3878
jj =
   -0.5661
jj =
   -0.9995
jj =
   -0.5140
jj =
    0.4441
jj =
    0.9939
jj =
    0.6299
jj =
   -0.3133
jj =
   -0.9684
jj =
   -0.7332
jj =
    0.1761
jj =
    0.9235
jj =
    0.8218
jj =
   -0.0354
jj =
   -0.8601
jj =
   -0.8940
jj =
   -0.1060
jj =
    0.7795
jj =
    0.9483
jj =
    0.2452
jj =
   -0.6833
jj =
   -0.9836
jj =
   -0.3796
jj =
    0.5734
jj =
    0.9992
jj =
    0.5063
jj =
   -0.4521
jj =
   -0.9948
jj =
   -0.6230
jj =
    0.3217
jj =
    0.9705
jj =
    0.7271
jj =
   -0.1848
jj =
   -0.9268
jj =
   -0.8167
jj =
    0.0443
jj =
    0.8646
jj =
    0.8900
jj =
    0.0972
jj =
   -0.7850
jj =
   -0.9454
jj =
   -0.2366
jj =
    0.6897
jj =
    0.9819
jj =
    0.3714
jj =
   -0.5806
jj =
   -0.9988
jj =
   -0.4987
jj =
    0.4599
jj =
    0.9957
jj =
    0.6160
jj =
   -0.3300
jj =
   -0.9726
jj =
   -0.7210
jj =
    0.1935
jj =
    0.9301
jj =
    0.8116
jj =
   -0.0531
jj =
   -0.8690
jj =
   -0.8859
jj =
   -0.0883
jj =
    0.7905
jj =
    0.9425
jj =
    0.2280
jj =
   -0.6961
jj =
   -0.9802
jj =
   -0.3631
jj =
    0.5878
jj =
    0.9983
jj =
    0.4910
jj =
   -0.4678
jj =
   -0.9965
jj =
   -0.6090
jj =
    0.3384
jj =
    0.9747
jj =
    0.7149
jj =
   -0.2022
jj =
   -0.9333
jj =
   -0.8064
jj =
    0.0620
jj =
    0.8733
jj =
    0.8818
jj =
    0.0795
jj =
   -0.7958
jj =
   -0.9395
jj =
   -0.2194
jj =
    0.7024
jj =
    0.9784
jj =
    0.3549
jj =
   -0.5950
jj =
   -0.9978
jj =
   -0.4833
jj =
    0.4756
jj =
    0.9972
jj =
    0.6020
jj =
   -0.3467
jj =
   -0.9766
jj =
   -0.7086
jj =
    0.2108
jj =
    0.9365
jj =
    0.8011
jj =
   -0.0708
jj =
   -0.8776
jj =
   -0.8776
jj =
   -0.0707
jj =
    0.8012
jj =
    0.9364
jj =
    0.2108
jj =
   -0.7087
jj =
   -0.9766
jj =
   -0.3466
jj =
    0.6020
jj =
    0.9972
jj =
    0.4755
jj =
   -0.4833
jj =
   -0.9978
jj =
   -0.5949
jj =
    0.3550
jj =
    0.9785
jj =
    0.7024
jj =
   -0.2195
jj =
   -0.9395
jj =
   -0.7958
jj =
    0.0796
jj =
    0.8818
jj =
    0.8733
jj =
    0.0619
jj =
   -0.8064
jj =
   -0.9333
jj =
   -0.2021
jj =
    0.7149
jj =
    0.9746
jj =
    0.3383
jj =
   -0.6091
jj =
   -0.9965
jj =
   -0.4677
jj =
    0.4911
jj =
    0.9983
jj =
    0.5877
jj =
   -0.3632
jj =
   -0.9803
jj =
   -0.6960
jj =
    0.2281
jj =
    0.9425
jj =
    0.7904
jj =
   -0.0884
jj =
   -0.8860
jj =
   -0.8689
jj =
   -0.0530
jj =
    0.8116
jj =
    0.9301
jj =
    0.1934
jj =
   -0.7211
jj =
   -0.9726
jj =
   -0.3299
jj =
    0.6161
jj =
    0.9957
jj =
    0.4598
jj =
   -0.4988
jj =
   -0.9988
jj =
   -0.5806
jj =
    0.3715
jj =
    0.9820
jj =
    0.6897
jj =
   -0.2367
jj =
   -0.9455
jj =
   -0.7849
jj =
    0.0972
jj =
    0.8900
jj =
    0.8645
jj =
    0.0442
jj =
   -0.8168
jj =
   -0.9268
jj =
   -0.1847
jj =
    0.7272
jj =
    0.9705
jj =
    0.3216
jj =
   -0.6230
jj =
   -0.9948
jj =
   -0.4520
jj =
    0.5064
jj =
    0.9992
jj =
    0.5733
jj =
   -0.3797
jj =
   -0.9836
jj =
   -0.6832
jj =
    0.2453
jj =
    0.9483
jj =
    0.7794
jj =
   -0.1060
jj =
   -0.8940
jj =
   -0.8600
jj ...
3
Pass
 
%%
x = 320;
y_correct =  1044480;
assert(isequal(euler009(x),y_correct))
Cheating is a sin against which commandment?
jj =
     0
jj =
    0.8415
jj =
    0.9093
jj =
    0.1411
jj =
   -0.7568
jj =
   -0.9589
jj =
   -0.2794
jj =
    0.6570
jj =
    0.9894
jj =
    0.4121
jj =
   -0.5440
jj =
   -1.0000
jj =
   -0.5366
jj =
    0.4202
jj =
    0.9906
jj =
    0.6503
jj =
   -0.2879
jj =
   -0.9614
jj =
   -0.7510
jj =
    0.1499
jj =
    0.9129
jj =
    0.8367
jj =
   -0.0089
jj =
   -0.8462
jj =
   -0.9056
jj =
   -0.1324
jj =
    0.7626
jj =
    0.9564
jj =
    0.2709
jj =
   -0.6636
jj =
   -0.9880
jj =
   -0.4040
jj =
    0.5514
jj =
    0.9999
jj =
    0.5291
jj =
   -0.4282
jj =
   -0.9918
jj =
   -0.6435
jj =
    0.2964
jj =
    0.9638
jj =
    0.7451
jj =
   -0.1586
jj =
   -0.9165
jj =
   -0.8318
jj =
    0.0177
jj =
    0.8509
jj =
    0.9018
jj =
    0.1236
jj =
   -0.7683
jj =
   -0.9538
jj =
   -0.2624
jj =
    0.6702
jj =
    0.9866
jj =
    0.3959
jj =
   -0.5588
jj =
   -0.9998
jj =
   -0.5216
jj =
    0.4362
jj =
    0.9929
jj =
    0.6367
jj =
   -0.3048
jj =
   -0.9661
jj =
   -0.7392
jj =
    0.1674
jj =
    0.9200
jj =
    0.8268
jj =
   -0.0266
jj =
   -0.8555
jj =
   -0.8979
jj =
   -0.1148
jj =
    0.7739
jj =
    0.9511
jj =
    0.2538
jj =
   -0.6768
jj =
   -0.9851
jj =
   -0.3878
jj =
    0.5661
jj =
    0.9995
jj =
    0.5140
jj =
   -0.4441
jj =
   -0.9939
jj =
   -0.6299
jj =
    0.3132
jj =
    0.9684
jj =
    0.7332
jj =
   -0.1761
jj =
   -0.9235
jj =
   -0.8218
jj =
    0.0354
jj =
    0.8601
jj =
    0.8940
jj =
    0.1060
jj =
   -0.7795
jj =
   -0.9483
jj =
   -0.2453
jj =
    0.6833
jj =
    0.9836
jj =
    0.3796
jj =
   -0.5734
jj =
   -0.9992
jj =
   -0.5064
jj =
    0.4520
jj =
    0.9948
jj =
    0.6230
jj =
   -0.3216
jj =
   -0.9705
jj =
   -0.7271
jj =
    0.1848
jj =
    0.9268
jj =
    0.8167
jj =
   -0.0442
jj =
   -0.8646
jj =
   -0.8900
jj =
   -0.0972
jj =
    0.7850
jj =
    0.9454
jj =
    0.2367
jj =
   -0.6897
jj =
   -0.9820
jj =
   -0.3714
jj =
    0.5806
jj =
    0.9988
jj =
    0.4987
jj =
   -0.4599
jj =
   -0.9957
jj =
   -0.6160
jj =
    0.3300
jj =
    0.9726
jj =
    0.7210
jj =
   -0.1935
jj =
   -0.9301
jj =
   -0.8116
jj =
    0.0531
jj =
    0.8690
jj =
    0.8859
jj =
    0.0884
jj =
   -0.7904
jj =
   -0.9425
jj =
   -0.2281
jj =
    0.6961
jj =
    0.9802
jj =
    0.3632
jj =
   -0.5878
jj =
   -0.9983
jj =
   -0.4910
jj =
    0.4677
jj =
    0.9965
jj =
    0.6090
jj =
   -0.3383
jj =
   -0.9746
jj =
   -0.7149
jj =
    0.2021
jj =
    0.9333
jj =
    0.8064
jj =
   -0.0619
jj =
   -0.8733
jj =
   -0.8818
jj =
   -0.0795
jj =
    0.7958
jj =
    0.9395
jj =
    0.2194
jj =
   -0.7024
jj =
   -0.9785
jj =
   -0.3549
jj =
    0.5949
jj =
    0.9978
jj =
    0.4833
jj =
   -0.4756
jj =
   -0.9972
jj =
   -0.6020
jj =
    0.3466
jj =
    0.9766
jj =
    0.7087
jj =
   -0.2108
jj =
   -0.9365
jj =
   -0.8011
jj =
    0.0708
jj =
    0.8776
jj =
    0.8776
jj =
    0.0707
jj =
   -0.8012
jj =
   -0.9365
jj =
   -0.2108
jj =
    0.7087
jj =
    0.9766
jj =
    0.3466
jj =
   -0.6020
jj =
   -0.9972
jj =
   -0.4755
jj =
    0.4833
jj =
    0.9978
jj =
    0.5949
jj =
   -0.3549
jj =
   -0.9785
jj =
   -0.7024
jj =
    0.2195
jj =
    0.9395
jj =
    0.7958
jj =
   -0.0796
jj =
   -0.8818
jj =
   -0.8733
jj =
   -0.0619
jj =
    0.8064
jj =
    0.9333
jj =
    0.2021
jj =
   -0.7149
jj =
   -0.9746
jj =
   -0.3383
jj =
    0.6091
jj =
    0.9965
jj =
    0.4677
jj =
   -0.4910
jj =
   -0.9983
jj =
   -0.5878
jj =
    0.3632
jj =
    0.9802
jj =
    0.6961
jj =
   -0.2281
jj =
   -0.9425
jj =
   -0.7904
jj =
    0.0884
jj =
    0.8859
jj =
    0.8690
jj =
    0.0531
jj =
   -0.8116
jj =
   -0.9301
jj =
   -0.1934
jj =
    0.7211
jj =
    0.9726
jj =
    0.3300
jj =
   -0.6161
jj =
   -0.9957
jj =
   -0.4599
jj =
    0.4987
jj =
    0.9988
jj =
    0.5806
jj =
   -0.3714
jj =
   -0.9820
jj =
   -0.6897
jj =
    0.2367
jj =
    0.9454
jj =
    0.7850
jj =
   -0.0972
jj =
   -0.8900
jj =
   -0.8645
jj =
   -0.0442
jj =
    0.8168
jj =
    0.9268
jj =
    0.1848
jj =
   -0.7272
jj =
   -0.9705
jj =
   -0.3216
jj =
    0.6230
jj =
    0.9948
jj =
    0.4520
jj =
   -0.5064
jj =
   -0.9992
jj =
   -0.5734
jj =
    0.3796
jj =
    0.9836
jj =
    0.6832
jj =
   -0.2453
jj =
   -0.9483
jj =
   -0.7794
jj =
    0.1060
jj =
    0.8940
jj =
    0.8601
jj =
    0.0354
jj =
   -0.8218
jj =
   -0.9234
jj =
   -0.1760
jj =
    0.7332
jj =
    0.9684
jj =
    0.3132
jj =
   -0.6299
jj =
   -0.9939
jj =
   -0.4441
jj =
    0.5140
jj =
    0.9995
jj =
    0.5661
jj =
   -0.3878
jj =
   -0.9852
jj =
   -0.6767
jj =
    0.2539
jj =
    0.9511
jj =
    0.7739
jj =
   -0.1148
jj =
   -0.8979
jj =
   -0.8555
jj =
   -0.0265
jj =
    0.8268
jj =
    0.9200
jj =
    0.1673
jj =
   -0.7392
jj =
   -0.9661
jj =
   -0.3048
jj =
    0.6368
jj =
    0.9929
jj =
    0.4361
jj =
   -0.5216
jj =
   -0.9998
jj =
   -0.5588
jj =
    0.3960
jj =
    0.9866
jj =
    0.6702
jj =
   -0.2624
jj =
   -0.9538
jj =
   -0.7682
jj =
    0.1236
jj =
    0.9018
jj =
    0.8509
jj =
    0.0177
jj =
   -0.8318
jj =
   -0.9165
jj =
   -0.1586
jj =
    0.7451
jj =
    0.9638
jj =
    0.2963
jj =
   -0.6436
jj =
   -0.9918
jj =
   -0.4282
jj =
    0.5291
jj =
    0.9999
jj =
    0.5514
jj =
   -0.4041
jj =
   -0.9880
jj =
   -0.6636
jj =
    0.2709
jj =
    0.9564
jj =
    0.7625
jj =
   -0.1324
jj =
   -0.9056
jj =
   -0.8462
jj =
   -0.0088
jj =
    0.8367
jj =
    0.9129
jj =
    0.1498
jj =
   -0.7510
jj =
   -0.9614
jj =
   -0.2879
jj =
    0.6503
jj =
    0.9906
jj =
    0.4201
jj =
   -0.5366
jj =
   -1.0000
jj =
   -0.5440
jj =
    0.4121
jj =
    0.9894
jj =
    0.6570
jj =
   -0.2794
jj =
   -0.9589
jj =
   -0.7568
jj =
    0.1411
jj =
    0.9093
jj =
    0.8415
jj =
  -3.0144e-05
jj =
   -0.8415
jj =
   -0.9093
jj =
   -0.1411
jj =
    0.7568
jj =
    0.9589
jj =
    0.2794
jj =
   -0.6570
jj =
   -0.9894
jj =
   -0.4121
jj =
    0.5440
jj =
    1.0000
jj =
    0.5365
jj =
   -0.4202
jj =
   -0.9906
jj =
   -0.6503
jj =
    0.2879
jj =
    0.9614
jj =
    0.7510
jj =
   -0.1499
jj =
   -0.9130
jj =
   -0.8366
jj =
    0.0089
jj =
    0.8462
jj =
    0.9056
jj =
    0.1323
jj =
   -0.7626
jj =
   -0.9564
jj =
   -0.2709
jj =
    0.6637
jj =
    0.9880
jj =
    0.4040
jj =
   -0.5515
jj =
   -0.9999
jj =
   -0.5291
jj =
    0.4282
jj =
    0.9918
jj =
    0.6435
jj =
   -0.2964
jj =
   -0.9638
jj =
   -0.7451
jj =
    0.1587
jj =
    0.9165
jj =
    0.8318
jj =
   -0.0177
jj =
   -0.8509
jj =
   -0.9018
jj =
   -0.1235
jj =
    0.7683
jj =
    0.9537
jj =
    0.2623
jj =
   -0.6703
jj =
   -0.9866
jj =
   -0.3959
jj =
    0.5588
jj =
    0.9998
jj =
    0.5215
jj =
   -0.4362
jj =
   -0.9929
jj =
   -0.6367
jj =
    0.3048
jj =
    0.9661
jj =
    0.7392
jj =
   -0.1674
jj =
   -0.9200
jj =
   -0.8268
jj =
    0.0266
jj =
    0.8555
jj =
    0.8979
jj =
    0.1148
jj =
   -0.7739
jj =
   -0.9510
jj =
   -0.2538
jj =
    0.6768
jj =
    0.9851
jj =
    0.3878
jj =
   -0.5661
jj =
   -0.9995
jj =
   -0.5140
jj =
    0.4441
jj =
    0.9939
jj =
    0.6299
jj =
   -0.3133
jj =
   -0.9684
jj =
   -0.7332
jj =
    0.1761
jj =
    0.9235
jj =
    0.8218
jj =
   -0.0354
jj =
   -0.8601
jj =
   -0.8940
jj =
   -0.1060
jj =
    0.7795
jj =
    0.9483
jj =
    0.2452
jj =
   -0.6833
jj =
   -0.9836
jj =
   -0.3796
jj =
    0.5734
jj =
    0.9992
jj =
    0.5063
jj =
   -0.4521
jj =
   -0.9948
jj =
   -0.6230
jj =
    0.3217
jj =
    0.9705
jj =
    0.7271
jj =
   -0.1848
jj =
   -0.9268
jj =
   -0.8167
jj =
    0.0443
jj =
    0.8646
jj =
    0.8900
jj =
    0.0972
jj =
   -0.7850
jj =
   -0.9454
jj =
   -0.2366
jj =
    0.6897
jj =
    0.9819
jj =
    0.3714
jj =
   -0.5806
jj =
   -0.9988
jj =
   -0.4987
jj =
    0.4599
jj =
    0.9957
jj =
    0.6160
jj =
   -0.3300
jj =
   -0.9726
jj =
   -0.7210
jj =
    0.1935
jj =
    0.9301
jj =
    0.8116
jj =
   -0.0531
jj =
   -0.8690
jj =
   -0.8859
jj =
   -0.0883
jj =
    0.7905
jj =
    0.9425
jj =
    0.2280
jj =
   -0.6961
jj =
   -0.9802
jj =
   -0.3631
jj =
    0.5878
jj =
    0.9983
jj =
    0.4910
jj =
   -0.4678
jj =
   -0.9965
jj =
   -0.6090
jj =
    0.3384
jj =
    0.9747
jj =
    0.7149
jj =
   -0.2022
jj =
   -0.9333
jj =
   -0.8064
jj =
    0.0620
jj =
    0.8733
jj =
    0.8818
jj =
    0.0795
jj =
   -0.7958
jj =
   -0.9395
jj =
   -0.2194
jj =
    0.7024
jj =
    0.9784
jj =
    0.3549
jj =
   -0.5950
jj =
   -0.9978
jj =
   -0.4833
jj =
    0.4756
jj =
    0.9972
jj =
    0.6020
jj =
   -0.3467
jj =
   -0.9766
jj =
   -0.7086
jj =
    0.2108
jj =
    0.9365
jj =
    0.8011
jj =
   -0.0708
jj =
   -0.8776
jj =
   -0.8776
jj =
   -0.0707
jj =
    0.8012
jj =
    0.9364
jj =
    0.2108
jj =
   -0.7087
jj =
   -0.9766
jj =
   -0.3466
jj =
    0.6020
jj =
    0.9972
jj =
    0.4755
jj =
   -0.4833
jj =
   -0.9978
jj =
   -0.5949
jj =
    0.3550
jj =
    0.9785
jj =
    0.7024
jj =
   -0.2195
jj =
   -0.9395
jj =
   -0.7958
jj =
    0.0796
jj =
    0.8818
jj =
    0.8733
jj =
    0.0619
jj =
   -0.8064
jj =
   -0.9333
jj =
   -0.2021
jj =
    0.7149
jj =
    0.9746
jj =
    0.3383
jj =
   -0.6091
jj =
   -0.9965
jj =
   -0.4677
jj =
    0.4911
jj =
    0.9983
jj =
    0.5877
jj =
   -0.3632
jj =
   -0.9803
jj =
   -0.6960
jj =
    0.2281
jj =
    0.9425
jj =
    0.7904
jj =
   -0.0884
jj =
   -0.8860
jj =
   -0.8689
jj =
   -0.0530
jj =
    0.8116
jj =
    0.9301
jj =
    0.1934
jj =
   -0.7211
jj =
   -0.9726
jj =
   -0.3299
jj =
    0.6161
jj =
    0.9957
jj =
    0.4598
jj =
   -0.4988
jj =
   -0.9988
jj =
   -0.5806
jj =
    0.3715
jj =
    0.9820
jj =
    0.6897
jj =
   -0.2367
jj =
   -0.9455
jj =
   -0.7849
jj =
    0.0972
jj =
    0.8900
jj =
    0.8645
jj =
    0.0442
jj =
   -0.8168
jj =
   -0.9268
jj =
   -0.1847
jj =
    0.7272
jj =
    0.9705
jj =
    0.3216
jj =
   -0.6230
jj =
   -0.9948
jj =
   -0.4520
jj =
    0.5064
jj =
    0.9992
jj =
    0.5733
jj =
   -0.3797
jj =
   -0.9836
jj =
   -0.6832
jj =
    0.2453
jj =
    0.9483
jj =
    0.7794
jj =
   -0.1060
jj =
   -0.8940
jj =
   -0.8600
jj ...
4
Pass
 
%%
x = 5000;
y_correct = 3984375000
assert(isequal(euler009(x),y_correct))
y_correct =
   3.9844e+09
 Cheating is a sin against which commandment?
jj =
     0
jj =
    0.8415
jj =
    0.9093
jj =
    0.1411
jj =
   -0.7568
jj =
   -0.9589
jj =
   -0.2794
jj =
    0.6570
jj =
    0.9894
jj =
    0.4121
jj =
   -0.5440
jj =
   -1.0000
jj =
   -0.5366
jj =
    0.4202
jj =
    0.9906
jj =
    0.6503
jj =
   -0.2879
jj =
   -0.9614
jj =
   -0.7510
jj =
    0.1499
jj =
    0.9129
jj =
    0.8367
jj =
   -0.0089
jj =
   -0.8462
jj =
   -0.9056
jj =
   -0.1324
jj =
    0.7626
jj =
    0.9564
jj =
    0.2709
jj =
   -0.6636
jj =
   -0.9880
jj =
   -0.4040
jj =
    0.5514
jj =
    0.9999
jj =
    0.5291
jj =
   -0.4282
jj =
   -0.9918
jj =
   -0.6435
jj =
    0.2964
jj =
    0.9638
jj =
    0.7451
jj =
   -0.1586
jj =
   -0.9165
jj =
   -0.8318
jj =
    0.0177
jj =
    0.8509
jj =
    0.9018
jj =
    0.1236
jj =
   -0.7683
jj =
   -0.9538
jj =
   -0.2624
jj =
    0.6702
jj =
    0.9866
jj =
    0.3959
jj =
   -0.5588
jj =
   -0.9998
jj =
   -0.5216
jj =
    0.4362
jj =
    0.9929
jj =
    0.6367
jj =
   -0.3048
jj =
   -0.9661
jj =
   -0.7392
jj =
    0.1674
jj =
    0.9200
jj =
    0.8268
jj =
   -0.0266
jj =
   -0.8555
jj =
   -0.8979
jj =
   -0.1148
jj =
    0.7739
jj =
    0.9511
jj =
    0.2538
jj =
   -0.6768
jj =
   -0.9851
jj =
   -0.3878
jj =
    0.5661
jj =
    0.9995
jj =
    0.5140
jj =
   -0.4441
jj =
   -0.9939
jj =
   -0.6299
jj =
    0.3132
jj =
    0.9684
jj =
    0.7332
jj =
   -0.1761
jj =
   -0.9235
jj =
   -0.8218
jj =
    0.0354
jj =
    0.8601
jj =
    0.8940
jj =
    0.1060
jj =
   -0.7795
jj =
   -0.9483
jj =
   -0.2453
jj =
    0.6833
jj =
    0.9836
jj =
    0.3796
jj =
   -0.5734
jj =
   -0.9992
jj =
   -0.5064
jj =
    0.4520
jj =
    0.9948
jj =
    0.6230
jj =
   -0.3216
jj =
   -0.9705
jj =
   -0.7271
jj =
    0.1848
jj =
    0.9268
jj =
    0.8167
jj =
   -0.0442
jj =
   -0.8646
jj =
   -0.8900
jj =
   -0.0972
jj =
    0.7850
jj =
    0.9454
jj =
    0.2367
jj =
   -0.6897
jj =
   -0.9820
jj =
   -0.3714
jj =
    0.5806
jj =
    0.9988
jj =
    0.4987
jj =
   -0.4599
jj =
   -0.9957
jj =
   -0.6160
jj =
    0.3300
jj =
    0.9726
jj =
    0.7210
jj =
   -0.1935
jj =
   -0.9301
jj =
   -0.8116
jj =
    0.0531
jj =
    0.8690
jj =
    0.8859
jj =
    0.0884
jj =
   -0.7904
jj =
   -0.9425
jj =
   -0.2281
jj =
    0.6961
jj =
    0.9802
jj =
    0.3632
jj =
   -0.5878
jj =
   -0.9983
jj =
   -0.4910
jj =
    0.4677
jj =
    0.9965
jj =
    0.6090
jj =
   -0.3383
jj =
   -0.9746
jj =
   -0.7149
jj =
    0.2021
jj =
    0.9333
jj =
    0.8064
jj =
   -0.0619
jj =
   -0.8733
jj =
   -0.8818
jj =
   -0.0795
jj =
    0.7958
jj =
    0.9395
jj =
    0.2194
jj =
   -0.7024
jj =
   -0.9785
jj =
   -0.3549
jj =
    0.5949
jj =
    0.9978
jj =
    0.4833
jj =
   -0.4756
jj =
   -0.9972
jj =
   -0.6020
jj =
    0.3466
jj =
    0.9766
jj =
    0.7087
jj =
   -0.2108
jj =
   -0.9365
jj =
   -0.8011
jj =
    0.0708
jj =
    0.8776
jj =
    0.8776
jj =
    0.0707
jj =
   -0.8012
jj =
   -0.9365
jj =
   -0.2108
jj =
    0.7087
jj =
    0.9766
jj =
    0.3466
jj =
   -0.6020
jj =
   -0.9972
jj =
   -0.4755
jj =
    0.4833
jj =
    0.9978
jj =
    0.5949
jj =
   -0.3549
jj =
   -0.9785
jj =
   -0.7024
jj =
    0.2195
jj =
    0.9395
jj =
    0.7958
jj =
   -0.0796
jj =
   -0.8818
jj =
   -0.8733
jj =
   -0.0619
jj =
    0.8064
jj =
    0.9333
jj =
    0.2021
jj =
   -0.7149
jj =
   -0.9746
jj =
   -0.3383
jj =
    0.6091
jj =
    0.9965
jj =
    0.4677
jj =
   -0.4910
jj =
   -0.9983
jj =
   -0.5878
jj =
    0.3632
jj =
    0.9802
jj =
    0.6961
jj =
   -0.2281
jj =
   -0.9425
jj =
   -0.7904
jj =
    0.0884
jj =
    0.8859
jj =
    0.8690
jj =
    0.0531
jj =
   -0.8116
jj =
   -0.9301
jj =
   -0.1934
jj =
    0.7211
jj =
    0.9726
jj =
    0.3300
jj =
   -0.6161
jj =
   -0.9957
jj =
   -0.4599
jj =
    0.4987
jj =
    0.9988
jj =
    0.5806
jj =
   -0.3714
jj =
   -0.9820
jj =
   -0.6897
jj =
    0.2367
jj =
    0.9454
jj =
    0.7850
jj =
   -0.0972
jj =
   -0.8900
jj =
   -0.8645
jj =
   -0.0442
jj =
    0.8168
jj =
    0.9268
jj =
    0.1848
jj =
   -0.7272
jj =
   -0.9705
jj =
   -0.3216
jj =
    0.6230
jj =
    0.9948
jj =
    0.4520
jj =
   -0.5064
jj =
   -0.9992
jj =
   -0.5734
jj =
    0.3796
jj =
    0.9836
jj =
    0.6832
jj =
   -0.2453
jj =
   -0.9483
jj =
   -0.7794
jj =
    0.1060
jj =
    0.8940
jj =
    0.8601
jj =
    0.0354
jj =
   -0.8218
jj =
   -0.9234
jj =
   -0.1760
jj =
    0.7332
jj =
    0.9684
jj =
    0.3132
jj =
   -0.6299
jj =
   -0.9939
jj =
   -0.4441
jj =
    0.5140
jj =
    0.9995
jj =
    0.5661
jj =
   -0.3878
jj =
   -0.9852
jj =
   -0.6767
jj =
    0.2539
jj =
    0.9511
jj =
    0.7739
jj =
   -0.1148
jj =
   -0.8979
jj =
   -0.8555
jj =
   -0.0265
jj =
    0.8268
jj =
    0.9200
jj =
    0.1673
jj =
   -0.7392
jj =
   -0.9661
jj =
   -0.3048
jj =
    0.6368
jj =
    0.9929
jj =
    0.4361
jj =
   -0.5216
jj =
   -0.9998
jj =
   -0.5588
jj =
    0.3960
jj =
    0.9866
jj =
    0.6702
jj =
   -0.2624
jj =
   -0.9538
jj =
   -0.7682
jj =
    0.1236
jj =
    0.9018
jj =
    0.8509
jj =
    0.0177
jj =
   -0.8318
jj =
   -0.9165
jj =
   -0.1586
jj =
    0.7451
jj =
    0.9638
jj =
    0.2963
jj =
   -0.6436
jj =
   -0.9918
jj =
   -0.4282
jj =
    0.5291
jj =
    0.9999
jj =
    0.5514
jj =
   -0.4041
jj =
   -0.9880
jj =
   -0.6636
jj =
    0.2709
jj =
    0.9564
jj =
    0.7625
jj =
   -0.1324
jj =
   -0.9056
jj =
   -0.8462
jj =
   -0.0088
jj =
    0.8367
jj =
    0.9129
jj =
    0.1498
jj =
   -0.7510
jj =
   -0.9614
jj =
   -0.2879
jj =
    0.6503
jj =
    0.9906
jj =
    0.4201
jj =
   -0.5366
jj =
   -1.0000
jj =
   -0.5440
jj =
    0.4121
jj =
    0.9894
jj =
    0.6570
jj =
   -0.2794
jj =
   -0.9589
jj =
   -0.7568
jj =
    0.1411
jj =
    0.9093
jj =
    0.8415
jj =
  -3.0144e-05
jj =
   -0.8415
jj =
   -0.9093
jj =
   -0.1411
jj =
    0.7568
jj =
    0.9589
jj =
    0.2794
jj =
   -0.6570
jj =
   -0.9894
jj =
   -0.4121
jj =
    0.5440
jj =
    1.0000
jj =
    0.5365
jj =
   -0.4202
jj =
   -0.9906
jj =
   -0.6503
jj =
    0.2879
jj =
    0.9614
jj =
    0.7510
jj =
   -0.1499
jj =
   -0.9130
jj =
   -0.8366
jj =
    0.0089
jj =
    0.8462
jj =
    0.9056
jj =
    0.1323
jj =
   -0.7626
jj =
   -0.9564
jj =
   -0.2709
jj =
    0.6637
jj =
    0.9880
jj =
    0.4040
jj =
   -0.5515
jj =
   -0.9999
jj =
   -0.5291
jj =
    0.4282
jj =
    0.9918
jj =
    0.6435
jj =
   -0.2964
jj =
   -0.9638
jj =
   -0.7451
jj =
    0.1587
jj =
    0.9165
jj =
    0.8318
jj =
   -0.0177
jj =
   -0.8509
jj =
   -0.9018
jj =
   -0.1235
jj =
    0.7683
jj =
    0.9537
jj =
    0.2623
jj =
   -0.6703
jj =
   -0.9866
jj =
   -0.3959
jj =
    0.5588
jj =
    0.9998
jj =
    0.5215
jj =
   -0.4362
jj =
   -0.9929
jj =
   -0.6367
jj =
    0.3048
jj =
    0.9661
jj =
    0.7392
jj =
   -0.1674
jj =
   -0.9200
jj =
   -0.8268
jj =
    0.0266
jj =
    0.8555
jj =
    0.8979
jj =
    0.1148
jj =
   -0.7739
jj =
   -0.9510
jj =
   -0.2538
jj =
    0.6768
jj =
    0.9851
jj =
    0.3878
jj =
   -0.5661
jj =
   -0.9995
jj =
   -0.5140
jj =
    0.4441
jj =
    0.9939
jj =
    0.6299
jj =
   -0.3133
jj =
   -0.9684
jj =
   -0.7332
jj =
    0.1761
jj =
    0.9235
jj =
    0.8218
jj =
   -0.0354
jj =
   -0.8601
jj =
   -0.8940
jj =
   -0.1060
jj =
    0.7795
jj =
    0.9483
jj =
    0.2452
jj =
   -0.6833
jj =
   -0.9836
jj =
   -0.3796
jj =
    0.5734
jj =
    0.9992
jj =
    0.5063
jj =
   -0.4521
jj =
   -0.9948
jj =
   -0.6230
jj =
    0.3217
jj =
    0.9705
jj =
    0.7271
jj =
   -0.1848
jj =
   -0.9268
jj =
   -0.8167
jj =
    0.0443
jj =
    0.8646
jj =
    0.8900
jj =
    0.0972
jj =
   -0.7850
jj =
   -0.9454
jj =
   -0.2366
jj =
    0.6897
jj =
    0.9819
jj =
    0.3714
jj =
   -0.5806
jj =
   -0.9988
jj =
   -0.4987
jj =
    0.4599
jj =
    0.9957
jj =
    0.6160
jj =
   -0.3300
jj =
   -0.9726
jj =
   -0.7210
jj =
    0.1935
jj =
    0.9301
jj =
    0.8116
jj =
   -0.0531
jj =
   -0.8690
jj =
   -0.8859
jj =
   -0.0883
jj =
    0.7905
jj =
    0.9425
jj =
    0.2280
jj =
   -0.6961
jj =
   -0.9802
jj =
   -0.3631
jj =
    0.5878
jj =
    0.9983
jj =
    0.4910
jj =
   -0.4678
jj =
   -0.9965
jj =
   -0.6090
jj =
    0.3384
jj =
    0.9747
jj =
    0.7149
jj =
   -0.2022
jj =
   -0.9333
jj =
   -0.8064
jj =
    0.0620
jj =
    0.8733
jj =
    0.8818
jj =
    0.0795
jj =
   -0.7958
jj =
   -0.9395
jj =
   -0.2194
jj =
    0.7024
jj =
    0.9784
jj =
    0.3549
jj =
   -0.5950
jj =
   -0.9978
jj =
   -0.4833
jj =
    0.4756
jj =
    0.9972
jj =
    0.6020
jj =
   -0.3467
jj =
   -0.9766
jj =
   -0.7086
jj =
    0.2108
jj =
    0.9365
jj =
    0.8011
jj =
   -0.0708
jj =
   -0.8776
jj =
   -0.8776
jj =
   -0.0707
jj =
    0.8012
jj =
    0.9364
jj =
    0.2108
jj =
   -0.7087
jj =
   -0.9766
jj =
   -0.3466
jj =
    0.6020
jj =
    0.9972
jj =
    0.4755
jj =
   -0.4833
jj =
   -0.9978
jj =
   -0.5949
jj =
    0.3550
jj =
    0.9785
jj =
    0.7024
jj =
   -0.2195
jj =
   -0.9395
jj =
   -0.7958
jj =
    0.0796
jj =
    0.8818
jj =
    0.8733
jj =
    0.0619
jj =
   -0.8064
jj =
   -0.9333
jj =
   -0.2021
jj =
    0.7149
jj =
    0.9746
jj =
    0.3383
jj =
   -0.6091
jj =
   -0.9965
jj =
   -0.4677
jj =
    0.4911
jj =
    0.9983
jj =
    0.5877
jj =
   -0.3632
jj =
   -0.9803
jj =
   -0.6960
jj =
    0.2281
jj =
    0.9425
jj =
    0.7904
jj =
   -0.0884
jj =
   -0.8860
jj =
   -0.8689
jj =
   -0.0530
jj =
    0.8116
jj =
    0.9301
jj =
    0.1934
jj =
   -0.7211
jj =
   -0.9726
jj =
   -0.3299
jj =
    0.6161
jj =
    0.9957
jj =
    0.4598
jj =
   -0.4988
jj =
   -0.9988
jj =
   -0.5806
jj =
    0.3715
jj =
    0.9820
jj =
    0.6897
jj =
   -0.2367
jj =
   -0.9455
jj =
   -0.7849
jj =
    0.0972
jj =
    0.8900
jj =
    0.8645
jj =
    0.0442
jj =
   -0.8168
jj =
   -0.9268
jj =
   -0.1847
jj =
    0.7272
jj =
    0.9705
jj =
    0.3216
jj =
   -0.6230
jj =
   -0.9948
jj =
   -0.4520
jj =
    0.5064
jj =
    0.9992
jj =
    0.5733
jj =
   -0.3797
jj =
   -0.9836
jj =
   -0.6832
jj =
    0.2453
jj =
    0.9483
jj =
    0.7794
jj =
   -0.1060
jj =
   ...