qua_cvx.txt

T: [[1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
 [1. 1. 0. 0. 0. 0. 0. 0. 0. 0.]
 [1. 1. 1. 0. 0. 0. 0. 0. 0. 0.]
 [1. 1. 1. 1. 0. 0. 0. 0. 0. 0.]
 [1. 1. 1. 1. 1. 0. 0. 0. 0. 0.]
 [1. 1. 1. 1. 1. 1. 0. 0. 0. 0.]
 [1. 1. 1. 1. 1. 1. 1. 0. 0. 0.]
 [1. 1. 1. 1. 1. 1. 1. 1. 0. 0.]
 [1. 1. 1. 1. 1. 1. 1. 1. 1. 0.]
 [1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]]
--------------------------------------------------------------------
pi_l = 0 pi_t =  0
total problem result (min of alpha^2 + mu): 0.22500000009898496
alpha: 0.5499999544796167
mu: -0.07749994982616724
F: [[1.05001626 0.05001626 0.05001626 0.05001626 0.05001626 0.05001626
  0.05001626 0.05001626 0.05001626 0.05001626]
 [1.05001003 1.05001003 0.05001003 0.05001003 0.05001003 0.05001003
  0.05001003 0.05001003 0.05001003 0.05001003]
 [1.05000618 1.05000618 1.05000618 0.05000618 0.05000618 0.05000618
  0.05000618 0.05000618 0.05000618 0.05000618]
 [1.05000307 1.05000307 1.05000307 1.05000307 0.05000307 0.05000307
  0.05000307 0.05000307 0.05000307 0.05000307]
 [1.05000023 1.05000023 1.05000023 1.05000023 1.05000023 0.05000023
  0.05000023 0.05000023 0.05000023 0.05000023]
 [1.04999741 1.04999741 1.04999741 1.04999741 1.04999741 1.04999741
  0.04999741 0.04999741 0.04999741 0.04999741]
 [1.04999439 1.04999439 1.04999439 1.04999439 1.04999439 1.04999439
  1.04999439 0.04999439 0.04999439 0.04999439]
 [1.04999081 1.04999081 1.04999081 1.04999081 1.04999081 1.04999081
  1.04999081 1.04999081 0.04999081 0.04999081]
 [1.04998121 1.04998121 1.04998121 1.04998121 1.04998121 1.04998121
  1.04998121 1.04998121 1.04998121 0.04998121]
 [0.55000041 0.55000041 0.55000041 0.55000041 0.55000041 0.55000041
  0.55000041 0.55000041 0.55000041 0.55000041]]
warst p star:  -0.22499579990793173 p:  [0.14340239 0.04193218 0.10120148 0.1610194  0.09001603 0.05986049
 0.07286352 0.09091246 0.10945788 0.12933417]
variance: 0.22499579945876585
--------------------------------------------------------------------
pi_l = 0 pi_t =  1
total problem result (min of alpha^2 + mu): 0.33225000004350946
alpha: 0.5050030133895653
mu: 0.07722195651778285
F: [[ 1.45501409 -0.44498591 -0.44498591 -0.44498591 -0.44498591 -0.44498591
  -0.44498591 -0.44498591 -0.44498591 -0.44498591]
 [ 1.3550082   1.3550082  -0.3449918  -0.3449918  -0.3449918  -0.3449918
  -0.3449918  -0.3449918  -0.3449918  -0.3449918 ]
 [ 1.25500378  1.25500378  1.25500378 -0.24499622 -0.24499622 -0.24499622
  -0.24499622 -0.24499622 -0.24499622 -0.24499622]
 [ 1.15500049  1.15500049  1.15500049  1.15500049 -0.14499951 -0.14499951
  -0.14499951 -0.14499951 -0.14499951 -0.14499951]
 [ 1.05499786  1.05499786  1.05499786  1.05499786  1.05499786 -0.04500214
  -0.04500214 -0.04500214 -0.04500214 -0.04500214]
 [ 0.9549957   0.9549957   0.9549957   0.9549957   0.9549957   0.9549957
   0.0549957   0.0549957   0.0549957   0.0549957 ]
 [ 0.85499389  0.85499389  0.85499389  0.85499389  0.85499389  0.85499389
   0.85499389  0.15499389  0.15499389  0.15499389]
 [ 0.75499232  0.75499232  0.75499232  0.75499232  0.75499232  0.75499232
   0.75499232  0.75499232  0.25499232  0.25499232]
 [ 0.65499052  0.65499052  0.65499052  0.65499052  0.65499052  0.65499052
   0.65499052  0.65499052  0.65499052  0.35499052]
 [ 0.50500315  0.50500315  0.50500315  0.50500315  0.50500315  0.50500315
   0.50500315  0.50500315  0.50500315  0.50500315]]
warst p star:  -0.332247489237869 p:  [0.26579093 0.08894302 0.1062193  0.09643473 0.04385195 0.05397436
 0.06511841 0.08240465 0.09485843 0.10240421]
variance: 0.3322474889364057
--------------------------------------------------------------------
pi_l = 0 pi_t =  2
total problem result (min of alpha^2 + mu): 0.3243322066461291
alpha: 0.5050026225181622
mu: 0.0693045578983083
F: [[ 1.28757429 -0.27754199 -0.27754199 -0.27754199 -0.27754199 -0.27754199
  -0.27754199 -0.27754199 -0.27754199 -0.27754199]
 [ 1.39221651  1.39221651 -0.3822021  -0.3822021  -0.3822021  -0.3822021
  -0.3822021  -0.3822021  -0.3822021  -0.3822021 ]
 [ 1.28756138  1.28756138  1.28756138 -0.2775549  -0.2775549  -0.2775549
  -0.2775549  -0.2775549  -0.2775549  -0.2775549 ]
 [ 1.1829072   1.1829072   1.1829072   1.1829072  -0.17290675 -0.17290675
  -0.17290675 -0.17290675 -0.17290675 -0.17290675]
 [ 1.0782536   1.0782536   1.0782536   1.0782536   1.0782536  -0.06825803
  -0.06825803 -0.06825803 -0.06825803 -0.06825803]
 [ 0.97360042  0.97360042  0.97360042  0.97360042  0.97360042  0.97360042
   0.03639112  0.03639112  0.03639112  0.03639112]
 [ 0.86894755  0.86894755  0.86894755  0.86894755  0.86894755  0.86894755
   0.86894755  0.14104058  0.14104058  0.14104058]
 [ 0.76429491  0.76429491  0.76429491  0.76429491  0.76429491  0.76429491
   0.76429491  0.76429491  0.24569026  0.24569026]
 [ 0.65964208  0.65964208  0.65964208  0.65964208  0.65964208  0.65964208
   0.65964208  0.65964208  0.65964208  0.35033976]
 [ 0.50500205  0.50500205  0.50500205  0.50500205  0.50500205  0.50500205
   0.50500205  0.50500205  0.50500205  0.50500205]]
warst p star:  -0.3243296779014926 p:  [0.24520157 0.10157188 0.10267261 0.1025969  0.0423381  0.05364349
 0.06581997 0.0840376  0.09712181 0.10499607]
variance: 0.3243296775923835
--------------------------------------------------------------------
pi_l = 0 pi_t =  3
total problem result (min of alpha^2 + mu): 0.3148535504154712
alpha: 0.5050022473246013
mu: 0.05982628063673179
F: [[ 1.13193841 -0.12190774 -0.12190774 -0.12190774 -0.12190774 -0.12190774
  -0.12190774 -0.12190774 -0.12190774 -0.12190774]
 [ 1.24731706  1.24731706 -0.23729833 -0.23729833 -0.23729833 -0.23729833
  -0.23729833 -0.23729833 -0.23729833 -0.23729833]
 [ 1.36269757  1.36269757  1.36269757 -0.35268704 -0.35268704 -0.35268704
  -0.35268704 -0.35268704 -0.35268704 -0.35268704]
 [ 1.24730874  1.24730874  1.24730874  1.24730874 -0.23730664 -0.23730664
  -0.23730664 -0.23730664 -0.23730664 -0.23730664]
 [ 1.1319209   1.1319209   1.1319209   1.1319209   1.1319209  -0.12192525
  -0.12192525 -0.12192525 -0.12192525 -0.12192525]
 [ 1.01653369  1.01653369  1.01653369  1.01653369  1.01653369  1.01653369
  -0.00654323 -0.00654323 -0.00654323 -0.00654323]
 [ 0.90114695  0.90114695  0.90114695  0.90114695  0.90114695  0.90114695
   0.90114695  0.10883925  0.10883925  0.10883925]
 [ 0.78576053  0.78576053  0.78576053  0.78576053  0.78576053  0.78576053
   0.78576053  0.78576053  0.22422207  0.22422207]
 [ 0.67037398  0.67037398  0.67037398  0.67037398  0.67037398  0.67037398
   0.67037398  0.67037398  0.67037398  0.33960475]
 [ 0.50500216  0.50500216  0.50500216  0.50500216  0.50500216  0.50500216
   0.50500216  0.50500216  0.50500216  0.50500216]]
warst p star:  -0.31485095084127285 p:  [0.2230012  0.10889925 0.08856939 0.12015564 0.03538435 0.05328476
 0.06813016 0.0883444  0.10281075 0.11142011]
variance: 0.31485095051833223
--------------------------------------------------------------------
pi_l = 0 pi_t =  4
total problem result (min of alpha^2 + mu): 0.30944008278090107
alpha: 0.5050018020283277
mu: 0.05441326279946125
F: [[ 0.96410839  0.04592657  0.04592657  0.04592657  0.04592657  0.04592657
   0.04592657  0.04592657  0.04592657  0.04592657]
 [ 1.10046812  1.10046812 -0.09044097 -0.09044097 -0.09044097 -0.09044097
  -0.09044097 -0.09044097 -0.09044097 -0.09044097]
 [ 1.23682685  1.23682685  1.23682685 -0.22680952 -0.22680952 -0.22680952
  -0.22680952 -0.22680952 -0.22680952 -0.22680952]
 [ 1.37318511  1.37318511  1.37318511  1.37318511 -0.36317853 -0.36317853
  -0.36317853 -0.36317853 -0.36317853 -0.36317853]
 [ 1.23681608  1.23681608  1.23681608  1.23681608  1.23681608 -0.22682029
  -0.22682029 -0.22682029 -0.22682029 -0.22682029]
 [ 1.1004483   1.1004483   1.1004483   1.1004483   1.1004483   1.1004483
  -0.0904608  -0.0904608  -0.0904608  -0.0904608 ]
 [ 0.96408136  0.96408136  0.96408136  0.96408136  0.96408136  0.96408136
   0.96408136  0.04589954  0.04589954  0.04589954]
 [ 0.82771502  0.82771502  0.82771502  0.82771502  0.82771502  0.82771502
   0.82771502  0.82771502  0.18226047  0.18226047]
 [ 0.69134871  0.69134871  0.69134871  0.69134871  0.69134871  0.69134871
   0.69134871  0.69134871  0.69134871  0.31862143]
 [ 0.50500208  0.50500208  0.50500208  0.50500208  0.50500208  0.50500208
   0.50500208  0.50500208  0.50500208  0.50500208]]
warst p star:  -0.309436882532244 p:  [0.19880765 0.11393463 0.06522364 0.129393   0.04243955 0.05205419
 0.07034567 0.09445321 0.11164209 0.12170638]
variance: 0.3094368821898252
--------------------------------------------------------------------
pi_l = 0 pi_t =  5
total problem result (min of alpha^2 + mu): 0.32265000006619693
alpha: 0.5049998498457248
mu: 0.06762515174046169
F: [[ 0.73501509  0.27501509  0.27501509  0.27501509  0.27501509  0.27501509
   0.27501509  0.27501509  0.27501509  0.27501509]
 [ 0.91501242  0.91501242  0.09501242  0.09501242  0.09501242  0.09501242
   0.09501242  0.09501242  0.09501242  0.09501242]
 [ 1.09500928  1.09500928  1.09500928 -0.08499072 -0.08499072 -0.08499072
  -0.08499072 -0.08499072 -0.08499072 -0.08499072]
 [ 1.27500524  1.27500524  1.27500524  1.27500524 -0.26499476 -0.26499476
  -0.26499476 -0.26499476 -0.26499476 -0.26499476]
 [ 1.45499986  1.45499986  1.45499986  1.45499986  1.45499986 -0.44500014
  -0.44500014 -0.44500014 -0.44500014 -0.44500014]
 [ 1.27499423  1.27499423  1.27499423  1.27499423  1.27499423  1.27499423
  -0.26500577 -0.26500577 -0.26500577 -0.26500577]
 [ 1.0949899   1.0949899   1.0949899   1.0949899   1.0949899   1.0949899
   1.0949899  -0.0850101  -0.0850101  -0.0850101 ]
 [ 0.91498626  0.91498626  0.91498626  0.91498626  0.91498626  0.91498626
   0.91498626  0.91498626  0.09498626  0.09498626]
 [ 0.73498853  0.73498853  0.73498853  0.73498853  0.73498853  0.73498853
   0.73498853  0.73498853  0.73498853  0.27498853]
 [ 0.50499921  0.50499921  0.50499921  0.50499921  0.50499921  0.50499921
   0.50499921  0.50499921  0.50499921  0.50499921]]
warst p star:  -0.32264718536628945 p:  [0.15708444 0.11378767 0.0512449  0.10558744 0.09333119 0.04600323
 0.06960612 0.10174916 0.12449458 0.13711127]
variance: 0.3226471849937825
--------------------------------------------------------------------
pi_l = 0 pi_t =  6
total problem result (min of alpha^2 + mu): 0.31760999998386696
alpha: 0.5229980214411689
mu: 0.04408306949520989
F: [[ 0.57301056  0.47301056  0.47301056  0.47301056  0.47301056  0.47301056
   0.47301056  0.47301056  0.47301056  0.47301056]
 [ 0.75301184  0.75301184  0.29301184  0.29301184  0.29301184  0.29301184
   0.29301184  0.29301184  0.29301184  0.29301184]
 [ 0.93300978  0.93300978  0.93300978  0.11300978  0.11300978  0.11300978
   0.11300978  0.11300978  0.11300978  0.11300978]
 [ 1.11300677  1.11300677  1.11300677  1.11300677 -0.06699323 -0.06699323
  -0.06699323 -0.06699323 -0.06699323 -0.06699323]
 [ 1.29300276  1.29300276  1.29300276  1.29300276  1.29300276 -0.24699724
  -0.24699724 -0.24699724 -0.24699724 -0.24699724]
 [ 1.47299736  1.47299736  1.47299736  1.47299736  1.47299736  1.47299736
  -0.42700264 -0.42700264 -0.42700264 -0.42700264]
 [ 1.29299195  1.29299195  1.29299195  1.29299195  1.29299195  1.29299195
   1.29299195 -0.24700805 -0.24700805 -0.24700805]
 [ 1.11298749  1.11298749  1.11298749  1.11298749  1.11298749  1.11298749
   1.11298749  1.11298749 -0.06701251 -0.06701251]
 [ 0.93298358  0.93298358  0.93298358  0.93298358  0.93298358  0.93298358
   0.93298358  0.93298358  0.93298358  0.11298358]
 [ 0.5229979   0.5229979   0.5229979   0.5229979   0.5229979   0.5229979
   0.5229979   0.5229979   0.5229979   0.5229979 ]]
warst p star:  -0.31760716681849854 p:  [0.09878052 0.08775429 0.04984011 0.09853006 0.13286955 0.03850895
 0.07578816 0.11294728 0.14213242 0.16284866]
variance: 0.31760716638099673
--------------------------------------------------------------------
pi_l = 0 pi_t =  7
total problem result (min of alpha^2 + mu): 0.28861363658039096
alpha: 0.5459050867258461
mu: -0.009398727137519916
F: [[ 0.59592134  0.49592134  0.49592134  0.49592134  0.49592134  0.49592134
   0.49592134  0.49592134  0.49592134  0.49592134]
 [ 0.73228616  0.73228616  0.35955888  0.35955888  0.35955888  0.35955888
   0.35955888  0.35955888  0.35955888  0.35955888]
 [ 0.86864769  0.86864769  0.86864769  0.22319314  0.22319314  0.22319314
   0.22319314  0.22319314  0.22319314  0.22319314]
 [ 1.00500829  1.00500829  1.00500829  1.00500829  0.08682648  0.08682648
   0.08682648  0.08682648  0.08682648  0.08682648]
 [ 1.14136802  1.14136802  1.14136802  1.14136802  1.14136802 -0.04954107
  -0.04954107 -0.04954107 -0.04954107 -0.04954107]
 [ 1.27772667  1.27772667  1.27772667  1.27772667  1.27772667  1.27772667
  -0.18590969 -0.18590969 -0.18590969 -0.18590969]
 [ 1.4140837   1.4140837   1.4140837   1.4140837   1.4140837   1.4140837
   1.4140837  -0.32227993 -0.32227993 -0.32227993]
 [ 1.27771378  1.27771378  1.27771378  1.27771378  1.27771378  1.27771378
   1.27771378  1.27771378 -0.18592258 -0.18592258]
 [ 1.14133878  1.14133878  1.14133878  1.14133878  1.14133878  1.14133878
   1.14133878  1.14133878  1.14133878 -0.04957031]
 [ 0.54590556  0.54590556  0.54590556  0.54590556  0.54590556  0.54590556
   0.54590556  0.54590556  0.54590556  0.54590556]]
warst p star:  -0.28860946935086484 p:  [0.06598915 0.05296731 0.05337756 0.10176204 0.13798971 0.06183417
 0.08434873 0.11847279 0.14849258 0.17476597]
variance: 0.2886094688613412
--------------------------------------------------------------------
pi_l = 0 pi_t =  8
total problem result (min of alpha^2 + mu): 0.275800295731733
alpha: 0.5626890959374922
mu: -0.040818723187513596
F: [[ 0.61269974  0.51269974  0.51269974  0.51269974  0.51269974  0.51269974
   0.51269974  0.51269974  0.51269974  0.51269974]
 [ 0.72808491  0.72808491  0.39731567  0.39731567  0.39731567  0.39731567
   0.39731567  0.39731567  0.39731567  0.39731567]
 [ 0.84346831  0.84346831  0.84346831  0.28192985  0.28192985  0.28192985
   0.28192985  0.28192985  0.28192985  0.28192985]
 [ 0.95885119  0.95885119  0.95885119  0.95885119  0.16654349  0.16654349
   0.16654349  0.16654349  0.16654349  0.16654349]
 [ 1.07423359  1.07423359  1.07423359  1.07423359  1.07423359  0.05115667
   0.05115667  0.05115667  0.05115667  0.05115667]
 [ 1.18961544  1.18961544  1.18961544  1.18961544  1.18961544  1.18961544
  -0.06423072 -0.06423072 -0.06423072 -0.06423072]
 [ 1.30499652  1.30499652  1.30499652  1.30499652  1.30499652  1.30499652
   1.30499652 -0.17961886 -0.17961886 -0.17961886]
 [ 1.42037634  1.42037634  1.42037634  1.42037634  1.42037634  1.42037634
   1.42037634  1.42037634 -0.29500828 -0.29500828]
 [ 1.30498461  1.30498461  1.30498461  1.30498461  1.30498461  1.30498461
   1.30498461  1.30498461  1.30498461 -0.17963077]
 [ 0.56268936  0.56268936  0.56268936  0.56268936  0.56268936  0.56268936
   0.56268936  0.56268936  0.56268936  0.56268936]]
warst p star:  -0.2757974691363792 p:  [0.03081022 0.03047843 0.05943046 0.10867309 0.14519983 0.07544716
 0.09217708 0.12016033 0.1536155  0.18400789]
variance: 0.27579746861614174
--------------------------------------------------------------------
pi_l = 0 pi_t =  9
total problem result (min of alpha^2 + mu): 0.26334248298576385
alpha: 0.5782499161820285
mu: -0.0710304825555049
F: [[ 0.62826805  0.52826805  0.52826805  0.52826805  0.52826805  0.52826805
   0.52826805  0.52826805  0.52826805  0.52826805]
 [ 0.73292002  0.73292002  0.42361769  0.42361769  0.42361769  0.42361769
   0.42361769  0.42361769  0.42361769  0.42361769]
 [ 0.8375692   0.8375692   0.8375692   0.31896455  0.31896455  0.31896455
   0.31896455  0.31896455  0.31896455  0.31896455]
 [ 0.94221753  0.94221753  0.94221753  0.94221753  0.21431055  0.21431055
   0.21431055  0.21431055  0.21431055  0.21431055]
 [ 1.04686506  1.04686506  1.04686506  1.04686506  1.04686506  0.10965576
   0.10965576  0.10965576  0.10965576  0.10965576]
 [ 1.15151169  1.15151169  1.15151169  1.15151169  1.15151169  1.15151169
   0.00500006  0.00500006  0.00500006  0.00500006]
 [ 1.25615707  1.25615707  1.25615707  1.25615707  1.25615707  1.25615707
   1.25615707 -0.09965688 -0.09965688 -0.09965688]
 [ 1.36080038  1.36080038  1.36080038  1.36080038  1.36080038  1.36080038
   1.36080038  1.36080038 -0.2043159  -0.2043159 ]
 [ 1.46544139  1.46544139  1.46544139  1.46544139  1.46544139  1.46544139
   1.46544139  1.46544139  1.46544139 -0.30897722]
 [ 0.57824962  0.57824962  0.57824962  0.57824962  0.57824962  0.57824962
   0.57824962  0.57824962  0.57824962  0.57824962]]
warst p star:  -0.26333782570586356 p:  [0.02506415 0.02559688 0.05614222 0.10749485 0.14022779 0.07507166
 0.09743275 0.12357203 0.15541937 0.19397831]
variance: 0.26333782516592436
--------------------------------------------------------------------
pi_l = 0 pi_t =  10
total problem result (min of alpha^2 + mu): 0.24225000067026106
alpha: 0.5949955524209702
mu: -0.11176970643687074
F: [[ 0.6450094   0.5450094   0.5450094   0.5450094   0.5450094   0.5450094
   0.5450094   0.5450094   0.5450094   0.5450094 ]
 [ 0.74500991  0.74500991  0.44500991  0.44500991  0.44500991  0.44500991
   0.44500991  0.44500991  0.44500991  0.44500991]
 [ 0.8450084   0.8450084   0.8450084   0.3450084   0.3450084   0.3450084
   0.3450084   0.3450084   0.3450084   0.3450084 ]
 [ 0.94500623  0.94500623  0.94500623  0.94500623  0.24500623  0.24500623
   0.24500623  0.24500623  0.24500623  0.24500623]
 [ 1.04500346  1.04500346  1.04500346  1.04500346  1.04500346  0.14500346
   0.14500346  0.14500346  0.14500346  0.14500346]
 [ 1.14499999  1.14499999  1.14499999  1.14499999  1.14499999  1.14499999
   0.04499999  0.04499999  0.04499999  0.04499999]
 [ 1.24499556  1.24499556  1.24499556  1.24499556  1.24499556  1.24499556
   1.24499556 -0.05500444 -0.05500444 -0.05500444]
 [ 1.34498951  1.34498951  1.34498951  1.34498951  1.34498951  1.34498951
   1.34498951  1.34498951 -0.15501049 -0.15501049]
 [ 1.4449823   1.4449823   1.4449823   1.4449823   1.4449823   1.4449823
   1.4449823   1.4449823   1.4449823  -0.2550177 ]
 [ 0.59499525  0.59499525  0.59499525  0.59499525  0.59499525  0.59499525
   0.59499525  0.59499525  0.59499525  0.59499525]]
warst p star:  -0.24224650668156597 p:  [0.02228607 0.0219158  0.05407773 0.10778314 0.13778892 0.07745307
 0.10964482 0.12998275 0.15469183 0.18437588]
variance: 0.24224650612098803
--------------------------------------------------------------------
pi_l = 1 pi_t =  0
total problem result (min of alpha^2 + mu): 0.28331388271885694
alpha: 0.5499954744301606
mu: -0.019181139327870356
F: [[ 0.81316476  0.28684897  0.28684897  0.28684897  0.28684897  0.28684897
   0.28684897  0.28684897  0.28684897  0.28684897]
 [ 0.84412149  0.84412149  0.2558862   0.2558862   0.2558862   0.2558862
   0.2558862   0.2558862   0.2558862   0.2558862 ]
 [ 0.88333542  0.88333542  0.88333542  0.21666876  0.21666876  0.21666876
   0.21666876  0.21666876  0.21666876  0.21666876]
 [ 0.934616    0.934616    0.934616    0.934616    0.16538523  0.16538523
   0.16538523  0.16538523  0.16538523  0.16538523]
 [ 1.00454454  1.00454454  1.00454454  1.00454454  1.00454454  0.09545363
   0.09545363  0.09545363  0.09545363  0.09545363]
 [ 1.10555273  1.10555273  1.10555273  1.10555273  1.10555273  1.10555273
  -0.00555838 -0.00555838 -0.00555838 -0.00555838]
 [ 1.26428006  1.26428006  1.26428006  1.26428006  1.26428006  1.26428006
   1.26428006 -0.16429137 -0.16429137 -0.16429137]
 [ 1.54998917  1.54998917  1.54998917  1.54998917  1.54998917  1.54998917
   1.54998917  1.54998917 -0.45001083 -0.45001083]
 [ 2.21663276  2.21663276  2.21663276  2.21663276  2.21663276  2.21663276
   2.21663276  2.21663276  2.21663276 -1.11670057]
 [ 0.5499959   0.5499959   0.5499959   0.5499959   0.5499959   0.5499959
   0.5499959   0.5499959   0.5499959   0.5499959 ]]
warst p star:  -0.2833097287139174 p:  [0.14340321 0.04233276 0.10144691 0.16079726 0.08954792 0.05962964
 0.07309307 0.09066073 0.1089076  0.13018091]
variance: 0.28330972827509504
--------------------------------------------------------------------
pi_l = 1 pi_t =  1
total problem result (min of alpha^2 + mu): 0.24750000013607087
alpha: 0.5050000024312804
mu: -0.0075250024274798955
F: [[1.0050093  0.0050093  0.0050093  0.0050093  0.0050093  0.0050093
  0.0050093  0.0050093  0.0050093  0.0050093 ]
 [1.00500503 1.00500503 0.00500503 0.00500503 0.00500503 0.00500503
  0.00500503 0.00500503 0.00500503 0.00500503]
 [1.00500216 1.00500216 1.00500216 0.00500216 0.00500216 0.00500216
  0.00500216 0.00500216 0.00500216 0.00500216]
 [1.0049996  1.0049996  1.0049996  1.0049996  0.0049996  0.0049996
  0.0049996  0.0049996  0.0049996  0.0049996 ]
 [1.00499699 1.00499699 1.00499699 1.00499699 1.00499699 0.00499699
  0.00499699 0.00499699 0.00499699 0.00499699]
 [1.00499404 1.00499404 1.00499404 1.00499404 1.00499404 1.00499404
  0.00499404 0.00499404 0.00499404 0.00499404]
 [1.00499032 1.00499032 1.00499032 1.00499032 1.00499032 1.00499032
  1.00499032 0.00499032 0.00499032 0.00499032]
 [1.00498473 1.00498473 1.00498473 1.00498473 1.00498473 1.00498473
  1.00498473 1.00498473 0.00498473 0.00498473]
 [1.0049806  1.0049806  1.0049806  1.0049806  1.0049806  1.0049806
  1.0049806  1.0049806  1.0049806  0.0049806 ]
 [0.50499976 0.50499976 0.50499976 0.50499976 0.50499976 0.50499976
  0.50499976 0.50499976 0.50499976 0.50499976]]
warst p star:  -0.2474974238617241 p:  [0.26506584 0.08765499 0.10725446 0.09852785 0.04466327 0.05435982
 0.06373696 0.08149899 0.094598   0.10263982]
variance: 0.24749742354881565
--------------------------------------------------------------------
pi_l = 1 pi_t =  2
total problem result (min of alpha^2 + mu): 0.24932759721014108
alpha: 0.5049996133123829
mu: -0.005697012060183352
F: [[ 0.91688242  0.09313701  0.09313701  0.09313701  0.09313701  0.09313701
   0.09313701  0.09313701  0.09313701  0.09313701]
 [ 1.02689411  1.02689411 -0.01688154 -0.01688154 -0.01688154 -0.01688154
  -0.01688154 -0.01688154 -0.01688154 -0.01688154]
 [ 1.02670825  1.02670825  1.02670825 -0.0167026  -0.0167026  -0.0167026
  -0.0167026  -0.0167026  -0.0167026  -0.0167026 ]
 [ 1.0264668   1.0264668   1.0264668   1.0264668  -0.01646701 -0.01646701
  -0.01646701 -0.01646701 -0.01646701 -0.01646701]
 [ 1.02613865  1.02613865  1.02613865  1.02613865  1.02613865 -0.01614465
  -0.01614465 -0.01614465 -0.01614465 -0.01614465]
 [ 1.02566566  1.02566566  1.02566566  1.02566566  1.02566566  1.02566566
  -0.015678   -0.015678   -0.015678   -0.015678  ]
 [ 1.02492354  1.02492354  1.02492354  1.02492354  1.02492354  1.02492354
   1.02492354 -0.01494357 -0.01494357 -0.01494357]
 [ 1.02358937  1.02358937  1.02358937  1.02358937  1.02358937  1.02358937
   1.02358937  1.02358937 -0.01361993 -0.01361993]
 [ 1.02047145  1.02047145  1.02047145  1.02047145  1.02047145  1.02047145
   1.02047145  1.02047145  1.02047145 -0.0105363 ]
 [ 0.50499987  0.50499987  0.50499987  0.50499987  0.50499987  0.50499987
   0.50499987  0.50499987  0.50499987  0.50499987]]
warst p star:  -0.2493246161967193 p:  [0.24434823 0.10096569 0.10400119 0.1040402  0.04200818 0.05448555
 0.0642242  0.08307677 0.09690987 0.10594012]
variance: 0.24932461587723842
--------------------------------------------------------------------
pi_l = 1 pi_t =  3
total problem result (min of alpha^2 + mu): 0.2566356994998837
alpha: 0.5049987634549609
mu: 0.001611948309092526
F: [[ 0.83497027  0.17505124  0.17505124  0.17505124  0.17505124  0.17505124
   0.17505124  0.17505124  0.17505124  0.17505124]
 [ 0.94165865  0.94165865  0.06835549  0.06835549  0.06835549  0.06835549
   0.06835549  0.06835549  0.06835549  0.06835549]
 [ 1.0767991   1.0767991   1.0767991  -0.06679064 -0.06679064 -0.06679064
  -0.06679064 -0.06679064 -0.06679064 -0.06679064]
 [ 1.07600604  1.07600604  1.07600604  1.07600604 -0.0660058  -0.0660058
  -0.0660058  -0.0660058  -0.0660058  -0.0660058 ]
 [ 1.07492631  1.07492631  1.07492631  1.07492631  1.07492631 -0.06493383
  -0.06493383 -0.06493383 -0.06493383 -0.06493383]
 [ 1.0733681   1.0733681   1.0733681   1.0733681   1.0733681   1.0733681
  -0.06338404 -0.06338404 -0.06338404 -0.06338404]
 [ 1.07092092  1.07092092  1.07092092  1.07092092  1.07092092  1.07092092
   1.07092092 -0.06094721 -0.06094721 -0.06094721]
 [ 1.06651773  1.06651773  1.06651773  1.06651773  1.06651773  1.06651773
   1.06651773  1.06651773 -0.05655919 -0.05655919]
 [ 1.05625569  1.05625569  1.05625569  1.05625569  1.05625569  1.05625569
   1.05625569  1.05625569  1.05625569 -0.04630841]
 [ 0.50499844  0.50499844  0.50499844  0.50499844  0.50499844  0.50499844
   0.50499844  0.50499844  0.50499844  0.50499844]]
warst p star:  -0.25663245102427823 p:  [0.2226261  0.10838552 0.0895574  0.12113763 0.03486371 0.05360137
 0.06662934 0.08760766 0.10309762 0.11249365]
variance: 0.256632450693028
--------------------------------------------------------------------
pi_l = 1 pi_t =  4
total problem result (min of alpha^2 + mu): 0.2762337631061148
alpha: 0.5049973850350709
mu: 0.0212114042969229
F: [[ 0.74663749  0.2633839   0.2633839   0.2633839   0.2633839   0.2633839
   0.2633839   0.2633839   0.2633839   0.2633839 ]
 [ 0.8552749   0.8552749   0.15474014  0.15474014  0.15474014  0.15474014
   0.15474014  0.15474014  0.15474014  0.15474014]
 [ 0.99288385  0.99288385  0.99288385  0.01712628  0.01712628  0.01712628
   0.01712628  0.01712628  0.01712628  0.01712628]
 [ 1.17283404  1.17283404  1.17283404  1.17283404 -0.1628303  -0.1628303
  -0.1628303  -0.1628303  -0.1628303  -0.1628303 ]
 [ 1.17028628  1.17028628  1.17028628  1.17028628  1.17028628 -0.16029223
  -0.16029223 -0.16029223 -0.16029223 -0.16029223]
 [ 1.16660833  1.16660833  1.16660833  1.16660833  1.16660833  1.16660833
  -0.15662399 -0.15662399 -0.15662399 -0.15662399]
 [ 1.16083075  1.16083075  1.16083075  1.16083075  1.16083075  1.16083075
   1.16083075 -0.15085756 -0.15085756 -0.15085756]
 [ 1.15043379  1.15043379  1.15043379  1.15043379  1.15043379  1.15043379
   1.15043379  1.15043379 -0.1404753  -0.1404753 ]
 [ 1.12616929  1.12616929  1.12616929  1.12616929  1.12616929  1.12616929
   1.12616929  1.12616929  1.12616929 -0.11625495]
 [ 0.5049977   0.5049977   0.5049977   0.5049977   0.5049977   0.5049977
   0.5049977   0.5049977   0.5049977   0.5049977 ]]
warst p star:  -0.2762300805360446 p:  [0.19816178 0.11352307 0.06583261 0.13023105 0.04312575 0.05205842
 0.06921938 0.09358817 0.11139816 0.12286161]
variance: 0.27623008018871387
--------------------------------------------------------------------
pi_l = 1 pi_t =  5
total problem result (min of alpha^2 + mu): 0.3303919420389085
alpha: 0.5049969916797996
mu: 0.0753699804864828
F: [[ 0.62605826  0.383953    0.383953    0.383953    0.383953    0.383953
   0.383953    0.383953    0.383953    0.383953  ]
 [ 0.74618124  0.74618124  0.2638283   0.2638283   0.2638283   0.2638283
   0.2638283   0.2638283   0.2638283   0.2638283 ]
 [ 0.89833711  0.89833711  0.89833711  0.11167044  0.11167044  0.11167044
   0.11167044  0.11167044  0.11167044  0.11167044]
 [ 1.09730989  1.09730989  1.09730989  1.09730989 -0.0873055  -0.0873055
  -0.0873055  -0.0873055  -0.0873055  -0.0873055 ]
 [ 1.36863586  1.36863586  1.36863586  1.36863586  1.36863586 -0.35863687
  -0.35863687 -0.35863687 -0.35863687 -0.35863687]
 [ 1.36055081  1.36055081  1.36055081  1.36055081  1.36055081  1.36055081
  -0.3505603  -0.3505603  -0.3505603  -0.3505603 ]
 [ 1.34784789  1.34784789  1.34784789  1.34784789  1.34784789  1.34784789
   1.34784789 -0.3378664  -0.3378664  -0.3378664 ]
 [ 1.32498502  1.32498502  1.32498502  1.32498502  1.32498502  1.32498502
   1.32498502  1.32498502 -0.31501498 -0.31501498]
 [ 1.27163917  1.27163917  1.27163917  1.27163917  1.27163917  1.27163917
   1.27163917  1.27163917  1.27163917 -0.26169416]
 [ 0.50499712  0.50499712  0.50499712  0.50499712  0.50499712  0.50499712
   0.50499712  0.50499712  0.50499712  0.50499712]]
warst p star:  -0.3303894677921508 p:  [0.15622015 0.11345203 0.05136959 0.1062263  0.09418705 0.04640917
 0.06964925 0.10126643 0.12387649 0.13734356]
variance: 0.3303894674208422
--------------------------------------------------------------------
pi_l = 1 pi_t =  6
total problem result (min of alpha^2 + mu): 0.40575804410743554
alpha: 0.5229947849843162
mu: 0.13223449902197087
F: [[ 0.54931906  0.49668748  0.49668748  0.49668748  0.49668748  0.49668748
   0.49668748  0.49668748  0.49668748  0.49668748]
 [ 0.65829882  0.65829882  0.38771059  0.38771059  0.38771059  0.38771059
   0.38771059  0.38771059  0.38771059  0.38771059]
 [ 0.79633751  0.79633751  0.79633751  0.24967084  0.24967084  0.24967084
   0.24967084  0.24967084  0.24967084  0.24967084]
 [ 0.97684922  0.97684922  0.97684922  0.97684922  0.06915691  0.06915691
   0.06915691  0.06915691  0.06915691  0.06915691]
 [ 1.2230011   1.2230011   1.2230011   1.2230011   1.2230011  -0.1769989
  -0.1769989  -0.1769989  -0.1769989  -0.1769989 ]
 [ 1.57855302  1.57855302  1.57855302  1.57855302  1.57855302  1.57855302
  -0.53255809 -0.53255809 -0.53255809 -0.53255809]
 [ 1.62299136  1.62299136  1.62299136  1.62299136  1.62299136  1.62299136
   1.62299136 -0.57700864 -0.57700864 -0.57700864]
 [ 1.7029834   1.7029834   1.7029834   1.7029834   1.7029834   1.7029834
   1.7029834   1.7029834  -0.6570166  -0.6570166 ]
 [ 1.88963831  1.88963831  1.88963831  1.88963831  1.88963831  1.88963831
   1.88963831  1.88963831  1.88963831 -0.84369502]
 [ 0.52299465  0.52299465  0.52299465  0.52299465  0.52299465  0.52299465
   0.52299465  0.52299465  0.52299465  0.52299465]]
warst p star:  -0.40575502638533134 p:  [0.09903698 0.08810777 0.04992564 0.09860404 0.13271084 0.03774476
 0.07550736 0.11251882 0.14205491 0.16378889]
variance: 0.4057550259626505
--------------------------------------------------------------------
pi_l = 1 pi_t =  7
total problem result (min of alpha^2 + mu): 0.4500477892304106
alpha: 0.545903016283366
mu: 0.1520376796250223
F: [[ 0.57223017  0.5195986   0.5195986   0.5195986   0.5195986   0.5195986
   0.5195986   0.5195986   0.5195986   0.5195986 ]
 [ 0.65553728  0.65553728  0.43628594  0.43628594  0.43628594  0.43628594
   0.43628594  0.43628594  0.43628594  0.43628594]
 [ 0.76106262  0.76106262  0.76106262  0.33075959  0.33075959  0.33075959
   0.33075959  0.33075959  0.33075959  0.33075959]
 [ 0.89905731  0.89905731  0.89905731  0.89905731  0.1927636   0.1927636
   0.1927636   0.1927636   0.1927636   0.1927636 ]
 [ 1.08723169  1.08723169  1.08723169  1.08723169  1.08723169  0.00458706
   0.00458706  0.00458706  0.00458706  0.00458706]
 [ 1.35903876  1.35903876  1.35903876  1.35903876  1.35903876  1.35903876
  -0.26722387 -0.26722387 -0.26722387 -0.26722387]
 [ 1.78616341  1.78616341  1.78616341  1.78616341  1.78616341  1.78616341
   1.78616341 -0.69435607 -0.69435607 -0.69435607]
 [ 2.00953279  2.00953279  2.00953279  2.00953279  2.00953279  2.00953279
   2.00953279  2.00953279 -0.91773994 -0.91773994]
 [ 2.53073375  2.53073375  2.53073375  2.53073375  2.53073375  2.53073375
   2.53073375  2.53073375  2.53073375 -1.43896322]
 [ 0.54590217  0.54590217  0.54590217  0.54590217  0.54590217  0.54590217
   0.54590217  0.54590217  0.54590217  0.54590217]]
warst p star:  -0.4500450019314114 p:  [0.06665141 0.05377381 0.05329549 0.10151502 0.13709293 0.06025301
 0.0851107  0.11896476 0.14876056 0.17458231]
variance: 0.4500450014704036
--------------------------------------------------------------------
pi_l = 1 pi_t =  8
total problem result (min of alpha^2 + mu): 0.49604473785094544
alpha: 0.5626839238603512
mu: 0.17943153965723954
F: [[ 0.58901034  0.53637876  0.53637876  0.53637876  0.53637876  0.53637876
   0.53637876  0.53637876  0.53637876  0.53637876]
 [ 0.65998118  0.65998118  0.46541104  0.46541104  0.46541104  0.46541104
   0.46541104  0.46541104  0.46541104  0.46541104]
 [ 0.74987532  0.74987532  0.74987532  0.37551635  0.37551635  0.37551635
   0.37551635  0.37551635  0.37551635  0.37551635]
 [ 0.86742888  0.86742888  0.86742888  0.86742888  0.25796143  0.25796143
   0.25796143  0.25796143  0.25796143  0.25796143]
 [ 1.0277289   1.0277289   1.0277289   1.0277289   1.0277289   0.09765897
   0.09765897  0.09765897  0.09765897  0.09765897]
 [ 1.25927296  1.25927296  1.25927296  1.25927296  1.25927296  1.25927296
  -0.13388943 -0.13388943 -0.13388943 -0.13388943]
 [ 1.62312715  1.62312715  1.62312715  1.62312715  1.62312715  1.62312715
   1.62312715 -0.49775197 -0.49775197 -0.49775197]
 [ 2.27806262  2.27806262  2.27806262  2.27806262  2.27806262  2.27806262
   2.27806262  2.27806262 -1.15270661 -1.15270661]
 [ 3.03701859  3.03701859  3.03701859  3.03701859  3.03701859  3.03701859
   3.03701859  3.03701859  3.03701859 -1.91169935]
 [ 0.56268462  0.56268462  0.56268462  0.56268462  0.56268462  0.56268462
   0.56268462  0.56268462  0.56268462  0.56268462]]
warst p star:  -0.4960404248591766 p:  [0.03412288 0.03225236 0.0605006  0.10847418 0.14253391 0.07091457
 0.09128077 0.11943133 0.15381891 0.18667048]
variance: 0.49604042437777973
--------------------------------------------------------------------
pi_l = 1 pi_t =  9
total problem result (min of alpha^2 + mu): 0.5231973919773479
alpha: 0.5782503321915208
mu: 0.18882394614534018
F: [[ 0.60457258  0.55194101  0.55194101  0.55194101  0.55194101  0.55194101
   0.55194101  0.55194101  0.55194101  0.55194101]
 [ 0.66922907  0.66922907  0.48728653  0.48728653  0.48728653  0.48728653
   0.48728653  0.48728653  0.48728653  0.48728653]
 [ 0.75112593  0.75112593  0.75112593  0.40538949  0.40538949  0.40538949
   0.40538949  0.40538949  0.40538949  0.40538949]
 [ 0.85822165  0.85822165  0.85822165  0.85822165  0.2982932   0.2982932
   0.2982932   0.2982932   0.2982932   0.2982932 ]
 [ 1.00426111  1.00426111  1.00426111  1.00426111  1.00426111  0.15225265
   0.15225265  0.15225265  0.15225265  0.15225265]
 [ 1.21520679  1.21520679  1.21520679  1.21520679  1.21520679  1.21520679
  -0.05869502 -0.05869502 -0.05869502 -0.05869502]
 [ 1.54669248  1.54669248  1.54669248  1.54669248  1.54669248  1.54669248
   1.54669248 -0.3901846  -0.3901846  -0.3901846 ]
 [ 2.14336582  2.14336582  2.14336582  2.14336582  2.14336582  2.14336582
   2.14336582  2.14336582 -0.98686673 -0.98686673]
 [ 3.53559884  3.53559884  3.53559884  3.53559884  3.53559884  3.53559884
   3.53559884  3.53559884  3.53559884 -2.37912985]
 [ 0.57825004  0.57825004  0.57825004  0.57825004  0.57825004  0.57825004
   0.57825004  0.57825004  0.57825004  0.57825004]]
warst p star:  -0.5231945287285464 p:  [0.02240413 0.02826086 0.05817789 0.10834463 0.13827975 0.07128181
 0.09904205 0.12500088 0.15572287 0.19348513]
variance: 0.5231945282334063
--------------------------------------------------------------------
pi_l = 1 pi_t =  10
total problem result (min of alpha^2 + mu): 0.4807555320498378
alpha: 0.5949934645773668
mu: 0.12673830932341582
F: [[ 0.62131667  0.5686851   0.5686851   0.5686851   0.5686851   0.5686851
   0.5686851   0.5686851   0.5686851   0.5686851 ]
 [ 0.68323761  0.68323761  0.50676702  0.50676702  0.50676702  0.50676702
   0.50676702  0.50676702  0.50676702  0.50676702]
 [ 0.76166899  0.76166899  0.76166899  0.42833566  0.42833566  0.42833566
   0.42833566  0.42833566  0.42833566  0.42833566]
 [ 0.86423284  0.86423284  0.86423284  0.86423284  0.32577131  0.32577131
   0.32577131  0.32577131  0.32577131  0.32577131]
 [ 1.00409242  1.00409242  1.00409242  1.00409242  1.00409242  0.1859106
   0.1859106   0.1859106   0.1859106   0.1859106 ]
 [ 1.2061115   1.2061115   1.2061115   1.2061115   1.2061115   1.2061115
  -0.01611072 -0.01611072 -0.01611072 -0.01611072]
 [ 1.5235695   1.5235695   1.5235695   1.5235695   1.5235695   1.5235695
   1.5235695  -0.33357335 -0.33357335 -0.33357335]
 [ 2.0949926   2.0949926   2.0949926   2.0949926   2.0949926   2.0949926
   2.0949926   2.0949926  -0.9050074  -0.9050074 ]
 [ 3.42830713  3.42830713  3.42830713  3.42830713  3.42830713  3.42830713
   3.42830713  3.42830713  3.42830713 -2.23835953]
 [ 0.59499094  0.59499094  0.59499094  0.59499094  0.59499094  0.59499094
   0.59499094  0.59499094  0.59499094  0.59499094]]
warst p star:  -0.48075206555548583 p:  [0.02021956 0.02528391 0.05659892 0.10879007 0.1356755  0.07301509
 0.10991177 0.13021261 0.1545579  0.18573466]
variance: 0.48075206503777973
--------------------------------------------------------------------
pi_l = 2 pi_t =  0
total problem result (min of alpha^2 + mu): 0.2763333437056271
alpha: 0.5499960344368255
mu: -0.02616229424035568
F: [[ 0.86947315  0.23054299  0.23054299  0.23054299  0.23054299  0.23054299
   0.23054299  0.23054299  0.23054299  0.23054299]
 [ 0.83178575  0.83178575  0.26822088  0.26822088  0.26822088  0.26822088
   0.26822088  0.26822088  0.26822088  0.26822088]
 [ 0.86946692  0.86946692  0.86946692  0.23053676  0.23053676  0.23053676
   0.23053676  0.23053676  0.23053676  0.23053676]
 [ 0.91878272  0.91878272  0.91878272  0.91878272  0.18121839  0.18121839
   0.18121839  0.18121839  0.18121839  0.18121839]
 [ 0.98610466  0.98610466  0.98610466  0.98610466  0.98610466  0.11389371
   0.11389371  0.11389371  0.11389371  0.11389371]
 [ 1.08349622  1.08349622  1.08349622  1.08349622  1.08349622  1.08349622
   0.0164987   0.0164987   0.0164987   0.0164987 ]
 [ 1.23689583  1.23689583  1.23689583  1.23689583  1.23689583  1.23689583
   1.23689583 -0.13690608 -0.13690608 -0.13690608]
 [ 1.51411568  1.51411568  1.51411568  1.51411568  1.51411568  1.51411568
   1.51411568  1.51411568 -0.41413544 -0.41413544]
 [ 2.16651025  2.16651025  2.16651025  2.16651025  2.16651025  2.16651025
   2.16651025  2.16651025  2.16651025 -1.06657246]
 [ 0.54999648  0.54999648  0.54999648  0.54999648  0.54999648  0.54999648
   0.54999648  0.54999648  0.54999648  0.54999648]]
warst p star:  -0.2763294260237492 p:  [0.14326203 0.04213536 0.10143546 0.16093552 0.08975798 0.05980437
 0.07317389 0.0907218  0.10889767 0.12987593]
variance: 0.2763294255837352
--------------------------------------------------------------------
pi_l = 2 pi_t =  1
total problem result (min of alpha^2 + mu): 0.24962908405589934
alpha: 0.5050004361798008
mu: -0.005396356368526776
F: [[ 1.11199512 -0.10197219 -0.10197219 -0.10197219 -0.10197219 -0.10197219
  -0.10197219 -0.10197219 -0.10197219 -0.10197219]
 [ 0.98403641  0.98403641  0.02597612  0.02597612  0.02597612  0.02597612
   0.02597612  0.02597612  0.02597612  0.02597612]
 [ 0.98420061  0.98420061  0.98420061  0.02580537  0.02580537  0.02580537
   0.02580537  0.02580537  0.02580537  0.02580537]
 [ 0.98441688  0.98441688  0.98441688  0.98441688  0.02558326  0.02558326
   0.02558326  0.02558326  0.02558326  0.02558326]
 [ 0.98471314  0.98471314  0.98471314  0.98471314  0.98471314  0.02528109
   0.02528109  0.02528109  0.02528109  0.02528109]
 [ 0.98514267  0.98514267  0.98514267  0.98514267  0.98514267  0.98514267
   0.02484491  0.02484491  0.02484491  0.02484491]
 [ 0.98582032  0.98582032  0.98582032  0.98582032  0.98582032  0.98582032
   0.98582032  0.02415898  0.02415898  0.02415898]
 [ 0.98704642  0.98704642  0.98704642  0.98704642  0.98704642  0.98704642
   0.98704642  0.98704642  0.02292086  0.02292086]
 [ 0.98993408  0.98993408  0.98993408  0.98993408  0.98993408  0.98993408
   0.98993408  0.98993408  0.98993408  0.02000926]
 [ 0.5050008   0.5050008   0.5050008   0.5050008   0.5050008   0.5050008
   0.5050008   0.5050008   0.5050008   0.5050008 ]]
warst p star:  -0.24962598657537433 p:  [0.26552836 0.08764876 0.10704099 0.09819842 0.04438293 0.05414007
 0.06364295 0.0815161  0.09472424 0.10317718]
variance: 0.24962598626277488
--------------------------------------------------------------------
pi_l = 2 pi_t =  2
total problem result (min of alpha^2 + mu): 0.24750000007766282
alpha: 0.5049999985905247
mu: -0.007524998499693063
F: [[1.00500911 0.00500911 0.00500911 0.00500911 0.00500911 0.00500911
  0.00500911 0.00500911 0.00500911 0.00500911]
 [1.00500488 1.00500488 0.00500488 0.00500488 0.00500488 0.00500488
  0.00500488 0.00500488 0.00500488 0.00500488]
 [1.00500224 1.00500224 1.00500224 0.00500224 0.00500224 0.00500224
  0.00500224 0.00500224 0.00500224 0.00500224]
 [1.00499995 1.00499995 1.00499995 1.00499995 0.00499995 0.00499995
  0.00499995 0.00499995 0.00499995 0.00499995]
 [1.00499766 1.00499766 1.00499766 1.00499766 1.00499766 0.00499766
  0.00499766 0.00499766 0.00499766 0.00499766]
 [1.00499512 1.00499512 1.00499512 1.00499512 1.00499512 1.00499512
  0.00499512 0.00499512 0.00499512 0.00499512]
 [1.00499201 1.00499201 1.00499201 1.00499201 1.00499201 1.00499201
  1.00499201 0.00499201 0.00499201 0.00499201]
 [1.00498774 1.00498774 1.00498774 1.00498774 1.00498774 1.00498774
  1.00498774 1.00498774 0.00498774 0.00498774]
 [1.00497757 1.00497757 1.00497757 1.00497757 1.00497757 1.00497757
  1.00497757 1.00497757 1.00497757 0.00497757]
 [0.50500014 0.50500014 0.50500014 0.50500014 0.50500014 0.50500014
  0.50500014 0.50500014 0.50500014 0.50500014]]
warst p star:  -0.24749759856319345 p:  [0.24394004 0.10073126 0.10420885 0.1044681  0.04240585 0.05483316
 0.06439582 0.08305994 0.09668401 0.10527296]
variance: 0.2474975982434588
--------------------------------------------------------------------
pi_l = 2 pi_t =  3
total problem result (min of alpha^2 + mu): 0.25161395248060336
alpha: 0.5049993166406544
mu: -0.0034103575088177238
F: [[ 0.90557029  0.10445016  0.10445016  0.10445016  0.10445016  0.10445016
   0.10445016  0.10445016  0.10445016  0.10445016]
 [ 0.92334402  0.92334402  0.08666693  0.08666693  0.08666693  0.08666693
   0.08666693  0.08666693  0.08666693  0.08666693]
 [ 1.05300884  1.05300884  1.05300884 -0.04300213 -0.04300213 -0.04300213
  -0.04300213 -0.04300213 -0.04300213 -0.04300213]
 [ 1.05249987  1.05249987  1.05249987  1.05249987 -0.04249947 -0.04249947
  -0.04249947 -0.04249947 -0.04249947 -0.04249947]
 [ 1.05180636  1.05180636  1.05180636  1.05180636  1.05180636 -0.04181199
  -0.04181199 -0.04181199 -0.04181199 -0.04181199]
 [ 1.05080416  1.05080416  1.05080416  1.05080416  1.05080416  1.05080416
  -0.04081637 -0.04081637 -0.04081637 -0.04081637]
 [ 1.04922674  1.04922674  1.04922674  1.04922674  1.04922674  1.04922674
   1.04922674 -0.03924708 -0.03924708 -0.03924708]
 [ 1.04637743  1.04637743  1.04637743  1.04637743  1.04637743  1.04637743
   1.04637743  1.04637743 -0.03640974 -0.03640974]
 [ 1.0396814   1.0396814   1.0396814   1.0396814   1.0396814   1.0396814
   1.0396814   1.0396814   1.0396814  -0.02972288]
 [ 0.50499905  0.50499905  0.50499905  0.50499905  0.50499905  0.50499905
   0.50499905  0.50499905  0.50499905  0.50499905]]
warst p star:  -0.2516112869715721 p:  [0.22212724 0.10802967 0.08975093 0.12171285 0.03536688 0.05412157
 0.06681092 0.08752432 0.10269762 0.111858  ]
variance: 0.2516112866395739
--------------------------------------------------------------------
pi_l = 2 pi_t =  4
total problem result (min of alpha^2 + mu): 0.2680711985496869
alpha: 0.504998602458408
mu: 0.013047610068177992
F: [[ 0.79833488  0.21168082  0.21168082  0.21168082  0.21168082  0.21168082
   0.21168082  0.21168082  0.21168082  0.21168082]
 [ 0.84058169  0.84058169  0.16942716  0.16942716  0.16942716  0.16942716
   0.16942716  0.16942716  0.16942716  0.16942716]
 [ 0.97258375  0.97258375  0.97258375  0.03742233  0.03742233  0.03742233
   0.03742233  0.03742233  0.03742233  0.03742233]
 [ 1.14534107  1.14534107  1.14534107  1.14534107 -0.13533879 -0.13533879
  -0.13533879 -0.13533879 -0.13533879 -0.13533879]
 [ 1.14329805  1.14329805  1.14329805  1.14329805  1.14329805 -0.13330162
  -0.13330162 -0.13330162 -0.13330162 -0.13330162]
 [ 1.14034378  1.14034378  1.14034378  1.14034378  1.14034378  1.14034378
  -0.13035327 -0.13035327 -0.13035327 -0.13035327]
 [ 1.13569177  1.13569177  1.13569177  1.13569177  1.13569177  1.13569177
   1.13569177 -0.12570817 -0.12570817 -0.12570817]
 [ 1.12728633  1.12728633  1.12728633  1.12728633  1.12728633  1.12728633
   1.12728633  1.12728633 -0.11731212 -0.11731212]
 [ 1.10750591  1.10750591  1.10750591  1.10750591  1.10750591  1.10750591
   1.10750591  1.10750591  1.10750591 -0.09755219]
 [ 0.50499867  0.50499867  0.50499867  0.50499867  0.50499867  0.50499867
   0.50499867  0.50499867  0.50499867  0.50499867]]
warst p star:  -0.2680689476626019 p:  [0.19707363 0.11289439 0.06600629 0.13101536 0.04440146 0.05313604
 0.06977917 0.09361141 0.11080187 0.12128039]
variance: 0.26806894731403047
--------------------------------------------------------------------
pi_l = 2 pi_t =  5
total problem result (min of alpha^2 + mu): 0.31814308898110283
alpha: 0.5049971842869151
mu: 0.06312093312472197
F: [[ 0.65196073  0.35805285  0.35805285  0.35805285  0.35805285  0.35805285
   0.35805285  0.35805285  0.35805285  0.35805285]
 [ 0.73606606  0.73606606  0.27394286  0.27394286  0.27394286  0.27394286
   0.27394286  0.27394286  0.27394286  0.27394286]
 [ 0.8819724   0.8819724   0.8819724   0.1280348   0.1280348   0.1280348
   0.1280348   0.1280348   0.1280348   0.1280348 ]
 [ 1.07292664  1.07292664  1.07292664  1.07292664 -0.06292242 -0.06292242
  -0.06292242 -0.06292242 -0.06292242 -0.06292242]
 [ 1.33359991  1.33359991  1.33359991  1.33359991  1.33359991 -0.3236009
  -0.3236009  -0.3236009  -0.3236009  -0.3236009 ]
 [ 1.32658348  1.32658348  1.32658348  1.32658348  1.32658348  1.32658348
  -0.3165927  -0.3165927  -0.3165927  -0.3165927 ]
 [ 1.31553411  1.31553411  1.31553411  1.31553411  1.31553411  1.31553411
   1.31553411 -0.30555215 -0.30555215 -0.30555215]
 [ 1.29556822  1.29556822  1.29556822  1.29556822  1.29556822  1.29556822
   1.29556822  1.29556822 -0.28559769 -0.28559769]
 [ 1.24858426  1.24858426  1.24858426  1.24858426  1.24858426  1.24858426
   1.24858426  1.24858426  1.24858426 -0.23863379]
 [ 0.50499722  0.50499722  0.50499722  0.50499722  0.50499722  0.50499722
   0.50499722  0.50499722  0.50499722  0.50499722]]
warst p star:  -0.31814070845646786 p:  [0.15610474 0.11322718 0.05140754 0.10634911 0.09445361 0.04661113
 0.06953179 0.10121448 0.12387632 0.1372241 ]
variance: 0.3181407080832604
--------------------------------------------------------------------
pi_l = 2 pi_t =  6
total problem result (min of alpha^2 + mu): 0.39048919764111034
alpha: 0.522995868160429
mu: 0.11696451573375774
F: [[ 0.55494997  0.49105695  0.49105695  0.49105695  0.49105695  0.49105695
   0.49105695  0.49105695  0.49105695  0.49105695]
 [ 0.65262358  0.65262358  0.39338374  0.39338374  0.39338374  0.39338374
   0.39338374  0.39338374  0.39338374  0.39338374]
 [ 0.78496466  0.78496466  0.78496466  0.26104192  0.26104192  0.26104192
   0.26104192  0.26104192  0.26104192  0.26104192]
 [ 0.95816536  0.95816536  0.95816536  0.95816536  0.08783946  0.08783946
   0.08783946  0.08783946  0.08783946  0.08783946]
 [ 1.19460324  1.19460324  1.19460324  1.19460324  1.19460324 -0.14860163
  -0.14860163 -0.14860163 -0.14860163 -0.14860163]
 [ 1.53664544  1.53664544  1.53664544  1.53664544  1.53664544  1.53664544
  -0.49064985 -0.49064985 -0.49064985 -0.49064985]
 [ 1.58082018  1.58082018  1.58082018  1.58082018  1.58082018  1.58082018
   1.58082018 -0.53483477 -0.53483477 -0.53483477]
 [ 1.66065399  1.66065399  1.66065399  1.66065399  1.66065399  1.66065399
   1.66065399  1.66065399 -0.61468233 -0.61468233]
 [ 1.84854428  1.84854428  1.84854428  1.84854428  1.84854428  1.84854428
   1.84854428  1.84854428  1.84854428 -0.80258354]
 [ 0.52299554  0.52299554  0.52299554  0.52299554  0.52299554  0.52299554
   0.52299554  0.52299554  0.52299554  0.52299554]]
warst p star:  -0.39048688762968503 p:  [0.09868417 0.08775554 0.04976877 0.09866383 0.13303523 0.03832618
 0.07596858 0.11279936 0.14205121 0.16294714]
variance: 0.3904868872045096
--------------------------------------------------------------------
pi_l = 2 pi_t =  7
total problem result (min of alpha^2 + mu): 0.4338385432887606
alpha: 0.5459011959946096
mu: 0.1358304274857303
F: [[ 0.57786008  0.51396707  0.51396707  0.51396707  0.51396707  0.51396707
   0.51396707  0.51396707  0.51396707  0.51396707]
 [ 0.65094128  0.65094128  0.44088528  0.44088528  0.44088528  0.44088528
   0.44088528  0.44088528  0.44088528  0.44088528]
 [ 0.75211315  0.75211315  0.75211315  0.33971278  0.33971278  0.33971278
   0.33971278  0.33971278  0.33971278  0.33971278]
 [ 0.88452119  0.88452119  0.88452119  0.88452119  0.20730304  0.20730304
   0.20730304  0.20730304  0.20730304  0.20730304]
 [ 1.06527257  1.06527257  1.06527257  1.06527257  1.06527257  0.02654862
   0.02654862  0.02654862  0.02654862  0.02654862]
 [ 1.32675607  1.32675607  1.32675607  1.32675607  1.32675607  1.32675607
  -0.2349403  -0.2349403  -0.2349403  -0.2349403 ]
 [ 1.73861245  1.73861245  1.73861245  1.73861245  1.73861245  1.73861245
   1.73861245 -0.64680724 -0.64680724 -0.64680724]
 [ 1.95702256  1.95702256  1.95702256  1.95702256  1.95702256  1.95702256
   1.95702256  1.95702256 -0.8652359  -0.8652359 ]
 [ 2.47102538  2.47102538  2.47102538  2.47102538  2.47102538  2.47102538
   2.47102538  2.47102538  2.47102538 -1.3792822 ]
 [ 0.545902    0.545902    0.545902    0.545902    0.545902    0.545902
   0.545902    0.545902    0.545902    0.545902  ]]
warst p star:  -0.4338342458742618 p:  [0.06689649 0.05400954 0.05355122 0.10163791 0.13706031 0.06001472
 0.0843574  0.11818082 0.14832462 0.17596698]
variance: 0.43383424541054927
--------------------------------------------------------------------
pi_l = 2 pi_t =  8
total problem result (min of alpha^2 + mu): 0.47877090332473465
alpha: 0.5626859290046268
mu: 0.16215544850586502
F: [[ 0.5946415   0.53074848  0.53074848  0.53074848  0.53074848  0.53074848
   0.53074848  0.53074848  0.53074848  0.53074848]
 [ 0.65589958  0.65589958  0.46948966  0.46948966  0.46948966  0.46948966
   0.46948966  0.46948966  0.46948966  0.46948966]
 [ 0.7420865   0.7420865   0.7420865   0.38330264  0.38330264  0.38330264
   0.38330264  0.38330264  0.38330264  0.38330264]
 [ 0.85488315  0.85488315  0.85488315  0.85488315  0.27050526  0.27050526
   0.27050526  0.27050526  0.27050526  0.27050526]
 [ 1.00886296  1.00886296  1.00886296  1.00886296  1.00886296  0.11652406
   0.11652406  0.11652406  0.11652406  0.11652406]
 [ 1.2316176   1.2316176   1.2316176   1.2316176   1.2316176   1.2316176
  -0.10623314 -0.10623314 -0.10623314 -0.10623314]
 [ 1.58247349  1.58247349  1.58247349  1.58247349  1.58247349  1.58247349
   1.58247349 -0.45709397 -0.45709397 -0.45709397]
 [ 2.21653036  2.21653036  2.21653036  2.21653036  2.21653036  2.21653036
   2.21653036  2.21653036 -1.09116195 -1.09116195]
 [ 2.96260549  2.96260549  2.96260549  2.96260549  2.96260549  2.96260549
   2.96260549  2.96260549  2.96260549 -1.83727883]
 [ 0.56268539  0.56268539  0.56268539  0.56268539  0.56268539  0.56268539
   0.56268539  0.56268539  0.56268539  0.56268539]]
warst p star:  -0.4787674302348068 p:  [0.03351468 0.0317815  0.06020828 0.10847064 0.14295204 0.07170184
 0.09193746 0.11997362 0.15346117 0.18599877]
variance: 0.4787674297505779
--------------------------------------------------------------------
pi_l = 2 pi_t =  9
total problem result (min of alpha^2 + mu): 0.5054990826051998
alpha: 0.5782496179238934
mu: 0.17112646210514598
F: [[ 0.61020486  0.54631184  0.54631184  0.54631184  0.54631184  0.54631184
   0.54631184  0.54631184  0.54631184  0.54631184]
 [ 0.66541361  0.66541361  0.49110168  0.49110168  0.49110168  0.49110168
   0.49110168  0.49110168  0.49110168  0.49110168]
 [ 0.74393375  0.74393375  0.74393375  0.4125816   0.4125816   0.4125816
   0.4125816   0.4125816   0.4125816   0.4125816 ]
 [ 0.8466965   0.8466965   0.8466965   0.8466965   0.30981828  0.30981828
   0.30981828  0.30981828  0.30981828  0.30981828]
 [ 0.98697892  0.98697892  0.98697892  0.98697892  0.98697892  0.1695347
   0.1695347   0.1695347   0.1695347   0.1695347 ]
 [ 1.18991827  1.18991827  1.18991827  1.18991827  1.18991827  1.18991827
  -0.03340679 -0.03340679 -0.03340679 -0.03340679]
 [ 1.50956353  1.50956353  1.50956353  1.50956353  1.50956353  1.50956353
   1.50956353 -0.35305628 -0.35305628 -0.35305628]
 [ 2.0872174   2.0872174   2.0872174   2.0872174   2.0872174   2.0872174
   2.0872174   2.0872174  -0.93071982 -0.93071982]
 [ 3.44665315  3.44665315  3.44665315  3.44665315  3.44665315  3.44665315
   3.44665315  3.44665315  3.44665315 -2.29018896]
 [ 0.57824812  0.57824812  0.57824812  0.57824812  0.57824812  0.57824812
   0.57824812  0.57824812  0.57824812  0.57824812]]
warst p star:  -0.5054959148816787 p:  [0.02259228 0.02807749 0.05805664 0.10832075 0.13844871 0.07155515
 0.09889725 0.12480203 0.15554821 0.1937015 ]
variance: 0.5054959143837452
--------------------------------------------------------------------
pi_l = 2 pi_t =  10
total problem result (min of alpha^2 + mu): 0.4644926588712568
alpha: 0.5949942422490625
mu: 0.11047451097053775
F: [[ 0.62694864  0.56305562  0.56305562  0.56305562  0.56305562  0.56305562
   0.56305562  0.56305562  0.56305562  0.56305562]
 [ 0.67953658  0.67953658  0.51046712  0.51046712  0.51046712  0.51046712
   0.51046712  0.51046712  0.51046712  0.51046712]
 [ 0.75473437  0.75473437  0.75473437  0.43526929  0.43526929  0.43526929
   0.43526929  0.43526929  0.43526929  0.43526929]
 [ 0.85314906  0.85314906  0.85314906  0.85314906  0.33685403  0.33685403
   0.33685403  0.33685403  0.33685403  0.33685403]
 [ 0.98749591  0.98749591  0.98749591  0.98749591  0.98749591  0.20250605
   0.20250605  0.20250605  0.20250605  0.20250605]
 [ 1.18184857  1.18184857  1.18184857  1.18184857  1.18184857  1.18184857
   0.0081513   0.0081513   0.0081513   0.0081513 ]
 [ 1.4879691   1.4879691   1.4879691   1.4879691   1.4879691   1.4879691
   1.4879691  -0.29797339 -0.29797339 -0.29797339]
 [ 2.04118142  2.04118142  2.04118142  2.04118142  2.04118142  2.04118142
   2.04118142  2.04118142 -0.85119526 -0.85119526]
 [ 3.34309851  3.34309851  3.34309851  3.34309851  3.34309851  3.34309851
   3.34309851  3.34309851  3.34309851 -2.15314209]
 [ 0.59499257  0.59499257  0.59499257  0.59499257  0.59499257  0.59499257
   0.59499257  0.59499257  0.59499257  0.59499257]]
warst p star:  -0.46448974582607355 p:  [0.02021268 0.02490881 0.05632649 0.10869038 0.1358719  0.07345845
 0.11011935 0.13047074 0.1547673  0.18517389]
variance: 0.46448974530567555
--------------------------------------------------------------------
pi_l = 3 pi_t =  0
total problem result (min of alpha^2 + mu): 0.264221479881217
alpha: 0.5499968678847245
mu: -0.038275074998297444
F: [[ 0.94878334  0.15123733  0.15123733  0.15123733  0.15123733  0.15123733
   0.15123733  0.15123733  0.15123733  0.15123733]
 [ 0.88679223  0.88679223  0.2132171   0.2132171   0.2132171   0.2132171
   0.2132171   0.2132171   0.2132171   0.2132171 ]
 [ 0.84148151  0.84148151  0.84148151  0.25852187  0.25852187  0.25852187
   0.25852187  0.25852187  0.25852187  0.25852187]
 [ 0.88678801  0.88678801  0.88678801  0.88678801  0.21321289  0.21321289
   0.21321289  0.21321289  0.21321289  0.21321289]
 [ 0.94877204  0.94877204  0.94877204  0.94877204  0.94877204  0.15122602
   0.15122602  0.15122602  0.15122602  0.15122602]
 [ 1.03871895  1.03871895  1.03871895  1.03871895  1.03871895  1.03871895
   0.06127534  0.06127534  0.06127534  0.06127534]
 [ 1.18106215  1.18106215  1.18106215  1.18106215  1.18106215  1.18106215
   1.18106215 -0.08107377 -0.08107377 -0.08107377]
 [ 1.44039943  1.44039943  1.44039943  1.44039943  1.44039943  1.44039943
   1.44039943  1.44039943 -0.34042248 -0.34042248]
 [ 2.06160374  2.06160374  2.06160374  2.06160374  2.06160374  2.06160374
   2.06160374  2.06160374  2.06160374 -0.96165207]
 [ 0.54999752  0.54999752  0.54999752  0.54999752  0.54999752  0.54999752
   0.54999752  0.54999752  0.54999752  0.54999752]]
warst p star:  -0.26421771739812366 p:  [0.14331207 0.0420112  0.10128684 0.16097062 0.08987524 0.05987387
 0.07314471 0.09083046 0.10927907 0.12941592]
variance: 0.2642177169559733
--------------------------------------------------------------------
pi_l = 3 pi_t =  1
total problem result (min of alpha^2 + mu): 0.2592069873360745
alpha: 0.5050008962691774
mu: 0.004181082178338491
F: [[ 1.2626782  -0.25265923 -0.25265923 -0.25265923 -0.25265923 -0.25265923
  -0.25265923 -0.25265923 -0.25265923 -0.25265923]
 [ 1.07754298  1.07754298 -0.06753474 -0.06753474 -0.06753474 -0.06753474
  -0.06753474 -0.06753474 -0.06753474 -0.06753474]
 [ 0.94222141  0.94222141  0.94222141  0.06778195  0.06778195  0.06778195
   0.06778195  0.06778195  0.06778195  0.06778195]
 [ 0.94282393  0.94282393  0.94282393  0.94282393  0.06717626  0.06717626
   0.06717626  0.06717626  0.06717626  0.06717626]
 [ 0.94364874  0.94364874  0.94364874  0.94364874  0.94364874  0.06634812
   0.06634812  0.06634812  0.06634812  0.06634812]
 [ 0.94484614  0.94484614  0.94484614  0.94484614  0.94484614  0.94484614
   0.06514689  0.06514689  0.06514689  0.06514689]
 [ 0.94674166  0.94674166  0.94674166  0.94674166  0.94674166  0.94674166
   0.94674166  0.06324651  0.06324651  0.06324651]
 [ 0.95019598  0.95019598  0.95019598  0.95019598  0.95019598  0.95019598
   0.95019598  0.95019598  0.05978502  0.05978502]
 [ 0.95847155  0.95847155  0.95847155  0.95847155  0.95847155  0.95847155
   0.95847155  0.95847155  0.95847155  0.05149481]
 [ 0.50500083  0.50500083  0.50500083  0.50500083  0.50500083  0.50500083
   0.50500083  0.50500083  0.50500083  0.50500083]]
warst p star:  -0.25920490466940854 p:  [0.26468795 0.08763518 0.1073326  0.09872929 0.04503561 0.05466778
 0.06408927 0.08149782 0.09419369 0.10213081]
variance: 0.2592049043581412
--------------------------------------------------------------------
pi_l = 3 pi_t =  2
total problem result (min of alpha^2 + mu): 0.252112201538763
alpha: 0.5050009267208374
mu: -0.002913734569870489
F: [[ 1.12914116 -0.11911108 -0.11911108 -0.11911108 -0.11911108 -0.11911108
  -0.11911108 -0.11911108 -0.11911108 -0.11911108]
 [ 1.10261008  1.10261008 -0.09259416 -0.09259416 -0.09259416 -0.09259416
  -0.09259416 -0.09259416 -0.09259416 -0.09259416]
 [ 0.96120296  0.96120296  0.96120296  0.04880334  0.04880334  0.04880334
   0.04880334  0.04880334  0.04880334  0.04880334]
 [ 0.96162156  0.96162156  0.96162156  0.96162156  0.048379    0.048379
   0.048379    0.048379    0.048379    0.048379  ]
 [ 0.96219521  0.96219521  0.96219521  0.96219521  0.96219521  0.04779944
   0.04779944  0.04779944  0.04779944  0.04779944]
 [ 0.96302862  0.96302862  0.96302862  0.96302862  0.96302862  0.96302862
   0.04695938  0.04695938  0.04695938  0.04695938]
 [ 0.96434861  0.96434861  0.96434861  0.96434861  0.96434861  0.96434861
   0.96434861  0.04563107  0.04563107  0.04563107]
 [ 0.9667551   0.9667551   0.9667551   0.9667551   0.9667551   0.9667551
   0.9667551   0.9667551   0.04321257  0.04321257]
 [ 0.97251989  0.97251989  0.97251989  0.97251989  0.97251989  0.97251989
   0.97251989  0.97251989  0.97251989  0.03741984]
 [ 0.50500102  0.50500102  0.50500102  0.50500102  0.50500102  0.50500102
   0.50500102  0.50500102  0.50500102  0.50500102]]
warst p star:  -0.25210874707295167 p:  [0.2451422  0.10070442 0.10354652 0.10365808 0.04181776 0.05435181
 0.06425659 0.08321266 0.0971746  0.10613536]
variance: 0.25210874675386236
--------------------------------------------------------------------
pi_l = 3 pi_t =  3
total problem result (min of alpha^2 + mu): 0.24750000009890089
alpha: 0.5049999977211558
mu: -0.007524997596145104
F: [[1.00501121 0.00501121 0.00501121 0.00501121 0.00501121 0.00501121
  0.00501121 0.00501121 0.00501121 0.00501121]
 [1.00500612 1.00500612 0.00500612 0.00500612 0.00500612 0.00500612
  0.00500612 0.00500612 0.00500612 0.00500612]
 [1.00500303 1.00500303 1.00500303 0.00500303 0.00500303 0.00500303
  0.00500303 0.00500303 0.00500303 0.00500303]
 [1.00500051 1.00500051 1.00500051 1.00500051 0.00500051 0.00500051
  0.00500051 0.00500051 0.00500051 0.00500051]
 [1.00499805 1.00499805 1.00499805 1.00499805 1.00499805 0.00499805
  0.00499805 0.00499805 0.00499805 0.00499805]
 [1.00499537 1.00499537 1.00499537 1.00499537 1.00499537 1.00499537
  0.00499537 0.00499537 0.00499537 0.00499537]
 [1.00499212 1.00499212 1.00499212 1.00499212 1.00499212 1.00499212
  1.00499212 0.00499212 0.00499212 0.00499212]
 [1.00498764 1.00498764 1.00498764 1.00498764 1.00498764 1.00498764
  1.00498764 1.00498764 0.00498764 0.00498764]
 [1.00497351 1.00497351 1.00497351 1.00497351 1.00497351 1.00497351
  1.00497351 1.00497351 1.00497351 0.00497351]
 [0.50500023 0.50500023 0.50500023 0.50500023 0.50500023 0.50500023
  0.50500023 0.50500023 0.50500023 0.50500023]]
warst p star:  -0.24749734521174993 p:  [0.22203826 0.10784925 0.08969939 0.12195095 0.03559032 0.05440485
 0.06685887 0.08741378 0.10235305 0.11184127]
variance: 0.24749734487914704
--------------------------------------------------------------------
pi_l = 3 pi_t =  4
total problem result (min of alpha^2 + mu): 0.2557023671436005
alpha: 0.5049988618477486
mu: 0.0006785167156096697
F: [[ 0.87115787  0.13886563  0.13886563  0.13886563  0.13886563  0.13886563
   0.13886563  0.13886563  0.13886563  0.13886563]
 [ 0.90609014  0.90609014  0.10392339  0.10392339  0.10392339  0.10392339
   0.10392339  0.10392339  0.10392339  0.10392339]
 [ 0.93162405  0.93162405  0.93162405  0.07838312  0.07838312  0.07838312
   0.07838312  0.07838312  0.07838312  0.07838312]
 [ 1.08978713  1.08978713  1.08978713  1.08978713 -0.07978423 -0.07978423
  -0.07978423 -0.07978423 -0.07978423 -0.07978423]
 [ 1.08865685  1.08865685  1.08865685  1.08865685  1.08865685 -0.07866049
  -0.07866049 -0.07866049 -0.07866049 -0.07866049]
 [ 1.08701807  1.08701807  1.08701807  1.08701807  1.08701807  1.08701807
  -0.07702841 -0.07702841 -0.07702841 -0.07702841]
 [ 1.08442604  1.08442604  1.08442604  1.08442604  1.08442604  1.08442604
   1.08442604 -0.07444422 -0.07444422 -0.07444422]
 [ 1.07970546  1.07970546  1.07970546  1.07970546  1.07970546  1.07970546
   1.07970546  1.07970546 -0.06973414 -0.06973414]
 [ 1.06839424  1.06839424  1.06839424  1.06839424  1.06839424  1.06839424
   1.06839424  1.06839424  1.06839424 -0.05845566]
 [ 0.50499912  0.50499912  0.50499912  0.50499912  0.50499912  0.50499912
   0.50499912  0.50499912  0.50499912  0.50499912]]
warst p star:  -0.25569947674805615 p:  [0.19760622 0.11280807 0.06579925 0.13081741 0.044276   0.05303741
 0.06944059 0.09349048 0.11089193 0.12183262]
variance: 0.2556994763976035
--------------------------------------------------------------------
pi_l = 3 pi_t =  5
total problem result (min of alpha^2 + mu): 0.2955656613741146
alpha: 0.5049959993814526
mu: 0.04054470204986533
F: [[ 0.68844928  0.32157812  0.32157812  0.32157812  0.32157812  0.32157812
   0.32157812  0.32157812  0.32157812  0.32157812]
 [ 0.78117506  0.78117506  0.22884345  0.22884345  0.22884345  0.22884345
   0.22884345  0.22884345  0.22884345  0.22884345]
 [ 0.84895156  0.84895156  0.84895156  0.16105918  0.16105918  0.16105918
   0.16105918  0.16105918  0.16105918  0.16105918]
 [ 1.02365612  1.02365612  1.02365612  1.02365612 -0.01364958 -0.01364958
  -0.01364958 -0.01364958 -0.01364958 -0.01364958]
 [ 1.26266804  1.26266804  1.26266804  1.26266804  1.26266804 -0.25266938
  -0.25266938 -0.25266938 -0.25266938 -0.25266938]
 [ 1.25762471  1.25762471  1.25762471  1.25762471  1.25762471  1.25762471
  -0.24763845 -0.24763845 -0.24763845 -0.24763845]
 [ 1.24964664  1.24964664  1.24964664  1.24964664  1.24964664  1.24964664
   1.24964664 -0.23967375 -0.23967375 -0.23967375]
 [ 1.23511482  1.23511482  1.23511482  1.23511482  1.23511482  1.23511482
   1.23511482  1.23511482 -0.22515915 -0.22515915]
 [ 1.20030786  1.20030786  1.20030786  1.20030786  1.20030786  1.20030786
   1.20030786  1.20030786  1.20030786 -0.19038981]
 [ 0.50499623  0.50499623  0.50499623  0.50499623  0.50499623  0.50499623
   0.50499623  0.50499623  0.50499623  0.50499623]]
warst p star:  -0.2955617763869076 p:  [0.15708446 0.11358519 0.05131477 0.10596908 0.09394529 0.04575623
 0.06840817 0.10082755 0.12434889 0.13876037]
variance: 0.29556177601018674
--------------------------------------------------------------------
pi_l = 3 pi_t =  6
total problem result (min of alpha^2 + mu): 0.36015346896492906
alpha: 0.5229945016340094
mu: 0.08663022003222548
F: [[ 0.56288374  0.48312914  0.48312914  0.48312914  0.48312914  0.48312914
   0.48312914  0.48312914  0.48312914  0.48312914]
 [ 0.67792889  0.67792889  0.36808433  0.36808433  0.36808433  0.36808433
   0.36808433  0.36808433  0.36808433  0.36808433]
 [ 0.76201735  0.76201735  0.76201735  0.28399045  0.28399045  0.28399045
   0.28399045  0.28399045  0.28399045  0.28399045]
 [ 0.92041229  0.92041229  0.92041229  0.92041229  0.12559364  0.12559364
   0.12559364  0.12559364  0.12559364  0.12559364]
 [ 1.13711145  1.13711145  1.13711145  1.13711145  1.13711145 -0.09110941
  -0.09110941 -0.09110941 -0.09110941 -0.09110941]
 [ 1.45156875  1.45156875  1.45156875  1.45156875  1.45156875  1.45156875
  -0.40557411 -0.40557411 -0.40557411 -0.40557411]
 [ 1.49483564  1.49483564  1.49483564  1.49483564  1.49483564  1.49483564
   1.49483564 -0.44885368 -0.44885368 -0.44885368]
 [ 1.5736675   1.5736675   1.5736675   1.5736675   1.5736675   1.5736675
   1.5736675   1.5736675  -0.52770236 -0.52770236]
 [ 1.76250458  1.76250458  1.76250458  1.76250458  1.76250458  1.76250458
   1.76250458  1.76250458  1.76250458 -0.71656519]
 [ 0.52299432  0.52299432  0.52299432  0.52299432  0.52299432  0.52299432
   0.52299432  0.52299432  0.52299432  0.52299432]]
warst p star:  -0.3601502298255231 p:  [0.09884739 0.08785756 0.04984337 0.09871128 0.1330209  0.03825239
 0.07540118 0.11232146 0.1419047  0.16383978]
variance: 0.36015022939531344
--------------------------------------------------------------------
pi_l = 3 pi_t =  7
total problem result (min of alpha^2 + mu): 0.4011330139278701
alpha: 0.5459049842506539
mu: 0.1031207637379232
F: [[ 0.58579003  0.50603543  0.50603543  0.50603543  0.50603543  0.50603543
   0.50603543  0.50603543  0.50603543  0.50603543]
 [ 0.6714422   0.6714422   0.42038238  0.42038238  0.42038238  0.42038238
   0.42038238  0.42038238  0.42038238  0.42038238]
 [ 0.73404774  0.73404774  0.73404774  0.35777379  0.35777379  0.35777379
   0.35777379  0.35777379  0.35777379  0.35777379]
 [ 0.85514265  0.85514265  0.85514265  0.85514265  0.23667821  0.23667821
   0.23667821  0.23667821  0.23667821  0.23667821]
 [ 1.02081209  1.02081209  1.02081209  1.02081209  1.02081209  0.07100729
   0.07100729  0.07100729  0.07100729  0.07100729]
 [ 1.26121932  1.26121932  1.26121932  1.26121932  1.26121932  1.26121932
  -0.16940269 -0.16940269 -0.16940269 -0.16940269]
 [ 1.64166902  1.64166902  1.64166902  1.64166902  1.64166902  1.64166902
   1.64166902 -0.5498579  -0.5498579  -0.5498579 ]
 [ 1.84913839  1.84913839  1.84913839  1.84913839  1.84913839  1.84913839
   1.84913839  1.84913839 -0.75733733 -0.75733733]
 [ 2.34610204  2.34610204  2.34610204  2.34610204  2.34610204  2.34610204
   2.34610204  2.34610204  2.34610204 -1.25432079]
 [ 0.54590496  0.54590496  0.54590496  0.54590496  0.54590496  0.54590496
   0.54590496  0.54590496  0.54590496  0.54590496]]
warst p star:  -0.4011308177875451 p:  [0.06591464 0.0530552  0.0530258  0.10163786 0.1377753  0.06142113
 0.08565178 0.11926214 0.14850298 0.17375317]
variance: 0.401130817318263
--------------------------------------------------------------------
pi_l = 3 pi_t =  8
total problem result (min of alpha^2 + mu): 0.44363212620991116
alpha: 0.5626851267844437
mu: 0.1270175742683201
F: [[ 0.60257448  0.52281988  0.52281988  0.52281988  0.52281988  0.52281988
   0.52281988  0.52281988  0.52281988  0.52281988]
 [ 0.67409574  0.67409574  0.45129781  0.45129781  0.45129781  0.45129781
   0.45129781  0.45129781  0.45129781  0.45129781]
 [ 0.72637158  0.72637158  0.72637158  0.39901732  0.39901732  0.39901732
   0.39901732  0.39901732  0.39901732  0.39901732]
 [ 0.82953349  0.82953349  0.82953349  0.82953349  0.29585473  0.29585473
   0.29585473  0.29585473  0.29585473  0.29585473]
 [ 0.97066872  0.97066872  0.97066872  0.97066872  0.97066872  0.1547178
   0.1547178   0.1547178   0.1547178   0.1547178 ]
 [ 1.17547359  1.17547359  1.17547359  1.17547359  1.17547359  1.17547359
  -0.05009032 -0.05009032 -0.05009032 -0.05009032]
 [ 1.49958161  1.49958161  1.49958161  1.49958161  1.49958161  1.49958161
   1.49958161 -0.37420479 -0.37420479 -0.37420479]
 [ 2.0900782   2.0900782   2.0900782   2.0900782   2.0900782   2.0900782
   2.0900782   2.0900782  -0.96471632 -0.96471632]
 [ 2.8068499   2.8068499   2.8068499   2.8068499   2.8068499   2.8068499
   2.8068499   2.8068499   2.8068499  -1.6815222 ]
 [ 0.56268524  0.56268524  0.56268524  0.56268524  0.56268524  0.56268524
   0.56268524  0.56268524  0.56268524  0.56268524]]
warst p star:  -0.4436284431691322 p:  [0.03321147 0.03168656 0.06011377 0.10852591 0.14330067 0.07220883
 0.09171741 0.11972605 0.1535999  0.18590942]
variance: 0.44362844267908497
--------------------------------------------------------------------
pi_l = 3 pi_t =  9
total problem result (min of alpha^2 + mu): 0.4693188387287978
alpha: 0.5782503337326944
mu: 0.13494538959822683
F: [[ 0.61813645  0.53838185  0.53838185  0.53838185  0.53838185  0.53838185
   0.53838185  0.53838185  0.53838185  0.53838185]
 [ 0.68242791  0.68242791  0.47408956  0.47408956  0.47408956  0.47408956
   0.47408956  0.47408956  0.47408956  0.47408956]
 [ 0.72942     0.72942     0.72942     0.42709442  0.42709442  0.42709442
   0.42709442  0.42709442  0.42709442  0.42709442]
 [ 0.82340697  0.82340697  0.82340697  0.82340697  0.33310693  0.33310693
   0.33310693  0.33310693  0.33310693  0.33310693]
 [ 0.95199015  0.95199015  0.95199015  0.95199015  0.95199015  0.20452261
   0.20452261  0.20452261  0.20452261  0.20452261]
 [ 1.13858055  1.13858055  1.13858055  1.13858055  1.13858055  1.13858055
   0.01793009  0.01793009  0.01793009  0.01793009]
 [ 1.43386405  1.43386405  1.43386405  1.43386405  1.43386405  1.43386405
   1.43386405 -0.27735745 -0.27735745 -0.27735745]
 [ 1.97184548  1.97184548  1.97184548  1.97184548  1.97184548  1.97184548
   1.97184548  1.97184548 -0.81534789 -0.81534789]
 [ 3.26049704  3.26049704  3.26049704  3.26049704  3.26049704  3.26049704
   3.26049704  3.26049704  3.26049704 -2.10402432]
 [ 0.57825144  0.57825144  0.57825144  0.57825144  0.57825144  0.57825144
   0.57825144  0.57825144  0.57825144  0.57825144]]
warst p star:  -0.4693161531398605 p:  [0.02274442 0.02749135 0.0575959  0.10816122 0.13882634 0.07232413
 0.09901677 0.12496887 0.15573397 0.19313702]
variance: 0.46931615263608456
--------------------------------------------------------------------
pi_l = 3 pi_t =  10
total problem result (min of alpha^2 + mu): 0.43125440220856937
alpha: 0.5949955182216379
mu: 0.07723473716542027
F: [[ 0.63488042  0.55512581  0.55512581  0.55512581  0.55512581  0.55512581
   0.55512581  0.55512581  0.55512581  0.55512581]
 [ 0.69603862  0.69603862  0.49396608  0.49396608  0.49396608  0.49396608
   0.49396608  0.49396608  0.49396608  0.49396608]
 [ 0.74074091  0.74074091  0.74074091  0.44926109  0.44926109  0.44926109
   0.44926109  0.44926109  0.44926109  0.44926109]
 [ 0.83075214  0.83075214  0.83075214  0.83075214  0.35924955  0.35924955
   0.35924955  0.35924955  0.35924955  0.35924955]
 [ 0.95389612  0.95389612  0.95389612  0.95389612  0.95389612  0.23610471
   0.23610471  0.23610471  0.23610471  0.23610471]
 [ 1.13259358  1.13259358  1.13259358  1.13259358  1.13259358  1.13259358
   0.05740561  0.05740561  0.05740561  0.05740561]
 [ 1.41538636  1.41538636  1.41538636  1.41538636  1.41538636  1.41538636
   1.41538636 -0.22539034 -0.22539034 -0.22539034]
 [ 1.93061086  1.93061086  1.93061086  1.93061086  1.93061086  1.93061086
   1.93061086  1.93061086 -0.74062201 -0.74062201]
 [ 3.16475135  3.16475135  3.16475135  3.16475135  3.16475135  3.16475135
   3.16475135  3.16475135  3.16475135 -1.97478353]
 [ 0.59499554  0.59499554  0.59499554  0.59499554  0.59499554  0.59499554
   0.59499554  0.59499554  0.59499554  0.59499554]]
warst p star:  -0.4312522244808193 p:  [0.02025732 0.0242227  0.05580302 0.1085148  0.13628124 0.07433196
 0.11044495 0.13081618 0.15494774 0.1843801 ]
variance: 0.43125222395491547
--------------------------------------------------------------------
pi_l = 4 pi_t =  0
total problem result (min of alpha^2 + mu): 0.250805140001608
alpha: 0.5499972613419862
mu: -0.051691847469961964
F: [[ 1.0945709   0.00546199  0.00546199  0.00546199  0.00546199  0.00546199
   0.00546199  0.00546199  0.00546199  0.00546199]
 [ 0.96985474  0.96985474  0.13016008  0.13016008  0.13016008  0.13016008
   0.13016008  0.13016008  0.13016008  0.13016008]
 [ 0.89161796  0.89161796  0.89161796  0.20838815  0.20838815  0.20838815
   0.20838815  0.20838815  0.20838815  0.20838815]
 [ 0.83795853  0.83795853  0.83795853  0.83795853  0.2620423   0.2620423
   0.2620423   0.2620423   0.2620423   0.2620423 ]
 [ 0.89161399  0.89161399  0.89161399  0.89161399  0.89161399  0.20838417
   0.20838417  0.20838417  0.20838417  0.20838417]
 [ 0.96984457  0.96984457  0.96984457  0.96984457  0.96984457  0.96984457
   0.13014991  0.13014991  0.13014991  0.13014991]
 [ 1.09454876  1.09454876  1.09454876  1.09454876  1.09454876  1.09454876
   1.09454876  0.00543985  0.00543985  0.00543985]
 [ 1.32463646  1.32463646  1.32463646  1.32463646  1.32463646  1.32463646
   1.32463646  1.32463646 -0.22465932 -0.22465932]
 [ 1.89143225  1.89143225  1.89143225  1.89143225  1.89143225  1.89143225
   1.89143225  1.89143225  1.89143225 -0.79149458]
 [ 0.54999738  0.54999738  0.54999738  0.54999738  0.54999738  0.54999738
   0.54999738  0.54999738  0.54999738  0.54999738]]
warst p star:  -0.25080021462810953 p:  [0.14396793 0.04197532 0.10106794 0.16076537 0.08976839 0.05971384
 0.07282861 0.09056696 0.10908115 0.13026449]
variance: 0.2508002141835931
--------------------------------------------------------------------
pi_l = 4 pi_t =  1
total problem result (min of alpha^2 + mu): 0.28845694266218425
alpha: 0.5050018340663478
mu: 0.033430090336260175
F: [[ 1.53966531 -0.52964162 -0.52964162 -0.52964162 -0.52964162 -0.52964162
  -0.52964162 -0.52964162 -0.52964162 -0.52964162]
 [ 1.21874502  1.21874502 -0.20873589 -0.20873589 -0.20873589 -0.20873589
  -0.20873589 -0.20873589 -0.20873589 -0.20873589]
 [ 1.01742428  1.01742428  1.01742428 -0.00742044 -0.00742044 -0.00742044
  -0.00742044 -0.00742044 -0.00742044 -0.00742044]
 [ 0.87934606  0.87934606  0.87934606  0.87934606  0.13065496  0.13065496
   0.13065496  0.13065496  0.13065496  0.13065496]
 [ 0.88077544  0.88077544  0.88077544  0.88077544  0.88077544  0.12922265
   0.12922265  0.12922265  0.12922265  0.12922265]
 [ 0.88285992  0.88285992  0.88285992  0.88285992  0.88285992  0.88285992
   0.12713472  0.12713472  0.12713472  0.12713472]
 [ 0.8861832   0.8861832   0.8861832   0.8861832   0.8861832   0.8861832
   0.8861832   0.12380697  0.12380697  0.12380697]
 [ 0.89231566  0.89231566  0.89231566  0.89231566  0.89231566  0.89231566
   0.89231566  0.89231566  0.11766777  0.11766777]
 [ 0.90742364  0.90742364  0.90742364  0.90742364  0.90742364  0.90742364
   0.90742364  0.90742364  0.90742364  0.10254559]
 [ 0.50500168  0.50500168  0.50500168  0.50500168  0.50500168  0.50500168
   0.50500168  0.50500168  0.50500168  0.50500168]]
warst p star:  -0.2884547731048799 p:  [0.26504918 0.08795053 0.10697315 0.09804563 0.04476281 0.05448788
 0.06448823 0.08175272 0.09432304 0.10216681]
variance: 0.28845477279763543
--------------------------------------------------------------------
pi_l = 4 pi_t =  2
total problem result (min of alpha^2 + mu): 0.2732517336541001
alpha: 0.5050018324772075
mu: 0.018224882825047705
F: [[ 1.35730502 -0.34727707 -0.34727707 -0.34727707 -0.34727707 -0.34727707
  -0.34727707 -0.34727707 -0.34727707 -0.34727707]
 [ 1.24999183  1.24999183 -0.23997799 -0.23997799 -0.23997799 -0.23997799
  -0.23997799 -0.23997799 -0.23997799 -0.23997799]
 [ 1.03966981  1.03966981  1.03966981 -0.02966429 -0.02966429 -0.02966429
  -0.02966429 -0.02966429 -0.02966429 -0.02966429]
 [ 0.89541824  0.89541824  0.89541824  0.89541824  0.11458297  0.11458297
   0.11458297  0.11458297  0.11458297  0.11458297]
 [ 0.89666408  0.89666408  0.89666408  0.89666408  0.89666408  0.11333315
   0.11333315  0.11333315  0.11333315  0.11333315]
 [ 0.89848112  0.89848112  0.89848112  0.89848112  0.89848112  0.89848112
   0.11151148  0.11151148  0.11151148  0.11151148]
 [ 0.9013783   0.9013783   0.9013783   0.9013783   0.9013783   0.9013783
   0.9013783   0.10860833  0.10860833  0.10860833]
 [ 0.90672478  0.90672478  0.90672478  0.90672478  0.90672478  0.90672478
   0.90672478  0.90672478  0.10325278  0.10325278]
 [ 0.91990027  0.91990027  0.91990027  0.91990027  0.91990027  0.91990027
   0.91990027  0.91990027  0.91990027  0.09006476]
 [ 0.50500171  0.50500171  0.50500171  0.50500171  0.50500171  0.50500171
   0.50500171  0.50500171  0.50500171  0.50500171]]
warst p star:  -0.2732490858291159 p:  [0.24463367 0.10088339 0.10355932 0.10373517 0.04234205 0.05445333
 0.06481504 0.08336773 0.0969235  0.10528681]
variance: 0.2732490855130067
--------------------------------------------------------------------
pi_l = 4 pi_t =  3
total problem result (min of alpha^2 + mu): 0.256538960151429
alpha: 0.5050011927975082
mu: 0.0015127554218729402
F: [[ 1.18780249 -0.17777253 -0.17777253 -0.17777253 -0.17777253 -0.17777253
  -0.17777253 -0.17777253 -0.17777253 -0.17777253]
 [ 1.1283196   1.1283196  -0.118304   -0.118304   -0.118304   -0.118304
  -0.118304   -0.118304   -0.118304   -0.118304  ]
 [ 1.09100477  1.09100477  1.09100477 -0.08099714 -0.08099714 -0.08099714
  -0.08099714 -0.08099714 -0.08099714 -0.08099714]
 [ 0.93250797  0.93250797  0.93250797  0.93250797  0.07749387  0.07749387
   0.07749387  0.07749387  0.07749387  0.07749387]
 [ 0.93333117  0.93333117  0.93333117  0.93333117  0.93333117  0.07666609
   0.07666609  0.07666609  0.07666609  0.07666609]
 [ 0.93453218  0.93453218  0.93453218  0.93453218  0.93453218  0.93453218
   0.07545996  0.07545996  0.07545996  0.07545996]
 [ 0.93644758  0.93644758  0.93644758  0.93644758  0.93644758  0.93644758
   0.93644758  0.07353821  0.07353821  0.07353821]
 [ 0.93998297  0.93998297  0.93998297  0.93998297  0.93998297  0.93998297
   0.93998297  0.93998297  0.0699938   0.0699938 ]
 [ 0.94868891  0.94868891  0.94868891  0.94868891  0.94868891  0.94868891
   0.94868891  0.94868891  0.94868891  0.06125927]
 [ 0.50500142  0.50500142  0.50500142  0.50500142  0.50500142  0.50500142
   0.50500142  0.50500142  0.50500142  0.50500142]]
warst p star:  -0.2565360391080938 p:  [0.22253042 0.10786682 0.08934344 0.12156035 0.0355153  0.0542368
 0.06701715 0.08754071 0.10245634 0.11193266]
variance: 0.25653603877681647
--------------------------------------------------------------------
pi_l = 4 pi_t =  4
total problem result (min of alpha^2 + mu): 0.24750000006535047
alpha: 0.5050000016001068
mu: -0.007525001549738457
F: [[1.00501341 0.00501341 0.00501341 0.00501341 0.00501341 0.00501341
  0.00501341 0.00501341 0.00501341 0.00501341]
 [1.00500676 1.00500676 0.00500676 0.00500676 0.00500676 0.00500676
  0.00500676 0.00500676 0.00500676 0.00500676]
 [1.00500359 1.00500359 1.00500359 0.00500359 0.00500359 0.00500359
  0.00500359 0.00500359 0.00500359 0.00500359]
 [1.00500107 1.00500107 1.00500107 1.00500107 0.00500107 0.00500107
  0.00500107 0.00500107 0.00500107 0.00500107]
 [1.00499871 1.00499871 1.00499871 1.00499871 1.00499871 0.00499871
  0.00499871 0.00499871 0.00499871 0.00499871]
 [1.00499617 1.00499617 1.00499617 1.00499617 1.00499617 1.00499617
  0.00499617 0.00499617 0.00499617 0.00499617]
 [1.00499309 1.00499309 1.00499309 1.00499309 1.00499309 1.00499309
  1.00499309 0.00499309 0.00499309 0.00499309]
 [1.00498867 1.00498867 1.00498867 1.00498867 1.00498867 1.00498867
  1.00498867 1.00498867 0.00498867 0.00498867]
 [1.00498025 1.00498025 1.00498025 1.00498025 1.00498025 1.00498025
  1.00498025 1.00498025 1.00498025 0.00498025]
 [0.50499984 0.50499984 0.50499984 0.50499984 0.50499984 0.50499984
  0.50499984 0.50499984 0.50499984 0.50499984]]
warst p star:  -0.24749753430998503 p:  [0.19745819 0.1124619  0.06573822 0.13095497 0.04477589 0.05352633
 0.06963192 0.09353348 0.11075558 0.12116352]
variance: 0.2474975339582604
--------------------------------------------------------------------
pi_l = 4 pi_t =  5
total problem result (min of alpha^2 + mu): 0.26740116938033887
alpha: 0.5049980427392249
mu: 0.012378146210801227
F: [[ 0.75550785  0.25451776  0.25451776  0.25451776  0.25451776  0.25451776
   0.25451776  0.25451776  0.25451776  0.25451776]
 [ 0.84928324  0.84928324  0.16073362  0.16073362  0.16073362  0.16073362
   0.16073362  0.16073362  0.16073362  0.16073362]
 [ 0.90811067  0.90811067  0.90811067  0.10189949  0.10189949  0.10189949
   0.10189949  0.10189949  0.10189949  0.10189949]
 [ 0.94845762  0.94845762  0.94845762  0.94845762  0.06154663  0.06154663
   0.06154663  0.06154663  0.06154663  0.06154663]
 [ 1.15406802  1.15406802  1.15406802  1.15406802  1.15406802 -0.14406863
  -0.14406863 -0.14406863 -0.14406863 -0.14406863]
 [ 1.1515608   1.1515608   1.1515608   1.1515608   1.1515608   1.1515608
  -0.14156897 -0.14156897 -0.14156897 -0.14156897]
 [ 1.14756603  1.14756603  1.14756603  1.14756603  1.14756603  1.14756603
   1.14756603 -0.13758249 -0.13758249 -0.13758249]
 [ 1.14019768  1.14019768  1.14019768  1.14019768  1.14019768  1.14019768
   1.14019768  1.14019768 -0.13022485 -0.13022485]
 [ 1.12204335  1.12204335  1.12204335  1.12204335  1.12204335  1.12204335
   1.12204335  1.12204335  1.12204335 -0.11210299]
 [ 0.50499834  0.50499834  0.50499834  0.50499834  0.50499834  0.50499834
   0.50499834  0.50499834  0.50499834  0.50499834]]
warst p star:  -0.2673982996817641 p:  [0.15630773 0.11287289 0.05123663 0.10613135 0.09528817 0.04695662
 0.06896246 0.1009004  0.1237292  0.13761455]
variance: 0.2673982993005132
--------------------------------------------------------------------
pi_l = 4 pi_t =  6
total problem result (min of alpha^2 + mu): 0.31614239069802536
alpha: 0.5229961880148037
mu: 0.04261737796015554
F: [[ 0.57746276  0.46855187  0.46855187  0.46855187  0.46855187  0.46855187
   0.46855187  0.46855187  0.46855187  0.46855187]
 [ 0.71613689  0.71613689  0.32987735  0.32987735  0.32987735  0.32987735
   0.32987735  0.32987735  0.32987735  0.32987735]
 [ 0.80312866  0.80312866  0.80312866  0.24288022  0.24288022  0.24288022
   0.24288022  0.24288022  0.24288022  0.24288022]
 [ 0.86279237  0.86279237  0.86279237  0.86279237  0.18321122  0.18321122
   0.18321122  0.18321122  0.18321122  0.18321122]
 [ 1.04908745  1.04908745  1.04908745  1.04908745  1.04908745 -0.00308646
  -0.00308646 -0.00308646 -0.00308646 -0.00308646]
 [ 1.32070765  1.32070765  1.32070765  1.32070765  1.32070765  1.32070765
  -0.2747122  -0.2747122  -0.2747122  -0.2747122 ]
 [ 1.36160678  1.36160678  1.36160678  1.36160678  1.36160678  1.36160678
   1.36160678 -0.31562095 -0.31562095 -0.31562095]
 [ 1.43707073  1.43707073  1.43707073  1.43707073  1.43707073  1.43707073
   1.43707073  1.43707073 -0.39109829 -0.39109829]
 [ 1.62298122  1.62298122  1.62298122  1.62298122  1.62298122  1.62298122
   1.62298122  1.62298122  1.62298122 -0.57701878]
 [ 0.52299578  0.52299578  0.52299578  0.52299578  0.52299578  0.52299578
   0.52299578  0.52299578  0.52299578  0.52299578]]
warst p star:  -0.3161399968566236 p:  [0.09830862 0.0873039  0.04959582 0.09869259 0.13355898 0.03933633
 0.07608711 0.11269396 0.14181497 0.16260772]
variance: 0.31613999641887675
--------------------------------------------------------------------
pi_l = 4 pi_t =  7
total problem result (min of alpha^2 + mu): 0.35183018447495795
alpha: 0.5459040467251394
mu: 0.05381895622678128
F: [[ 0.60037129  0.49146039  0.49146039  0.49146039  0.49146039  0.49146039
   0.49146039  0.49146039  0.49146039  0.49146039]
 [ 0.70240376  0.70240376  0.38942666  0.38942666  0.38942666  0.38942666
   0.38942666  0.38942666  0.38942666  0.38942666]
 [ 0.76640963  0.76640963  0.76640963  0.32541584  0.32541584  0.32541584
   0.32541584  0.32541584  0.32541584  0.32541584]
 [ 0.81030827  0.81030827  0.81030827  0.81030827  0.28151246  0.28151246
   0.28151246  0.28151246  0.28151246  0.28151246]
 [ 0.95274188  0.95274188  0.95274188  0.95274188  0.95274188  0.13907728
   0.13907728  0.13907728  0.13907728  0.13907728]
 [ 1.1604117   1.1604117   1.1604117   1.1604117   1.1604117   1.1604117
  -0.06859593 -0.06859593 -0.06859593 -0.06859593]
 [ 1.49144893  1.49144893  1.49144893  1.49144893  1.49144893  1.49144893
   1.49144893 -0.39964018 -0.39964018 -0.39964018]
 [ 1.67970081  1.67970081  1.67970081  1.67970081  1.67970081  1.67970081
   1.67970081  1.67970081 -0.58790483 -0.58790483]
 [ 2.14344767  2.14344767  2.14344767  2.14344767  2.14344767  2.14344767
   2.14344767  2.14344767  2.14344767 -1.05167429]
 [ 0.54590434  0.54590434  0.54590434  0.54590434  0.54590434  0.54590434
   0.54590434  0.54590434  0.54590434  0.54590434]]
warst p star:  -0.35182733085370027 p:  [0.06575537 0.05282381 0.05303127 0.1016687  0.13811453 0.06197745
 0.08537388 0.11888399 0.14833602 0.17403497]
variance: 0.35182733037576264
--------------------------------------------------------------------
pi_l = 4 pi_t =  8
total problem result (min of alpha^2 + mu): 0.38969300225193776
alpha: 0.5626887460135096
mu: 0.07307437904131174
F: [[ 0.61715175  0.50824085  0.50824085  0.50824085  0.50824085  0.50824085
   0.50824085  0.50824085  0.50824085  0.50824085]
 [ 0.70156835  0.70156835  0.4238232   0.4238232   0.4238232   0.4238232
   0.4238232   0.4238232   0.4238232   0.4238232 ]
 [ 0.75452415  0.75452415  0.75452415  0.37086433  0.37086433  0.37086433
   0.37086433  0.37086433  0.37086433  0.37086433]
 [ 0.79084424  0.79084424  0.79084424  0.79084424  0.33454138  0.33454138
   0.33454138  0.33454138  0.33454138  0.33454138]
 [ 0.91219082  0.91219082  0.91219082  0.91219082  0.91219082  0.21319417
   0.21319417  0.21319417  0.21319417  0.21319417]
 [ 1.08911573  1.08911573  1.08911573  1.08911573  1.08911573  1.08911573
   0.03626781  0.03626781  0.03626781  0.03626781]
 [ 1.37114419  1.37114419  1.37114419  1.37114419  1.37114419  1.37114419
   1.37114419 -0.24576366 -0.24576366 -0.24576366]
 [ 1.89150573  1.89150573  1.89150573  1.89150573  1.89150573  1.89150573
   1.89150573  1.89150573 -0.76613241 -0.76613241]
 [ 2.55423539  2.55423539  2.55423539  2.55423539  2.55423539  2.55423539
   2.55423539  2.55423539  2.55423539 -1.42887905]
 [ 0.56268893  0.56268893  0.56268893  0.56268893  0.56268893  0.56268893
   0.56268893  0.56268893  0.56268893  0.56268893]]
warst p star:  -0.38969109902419835 p:  [0.03191342 0.03080859 0.05955455 0.10846048 0.14417209 0.07386431
 0.09273877 0.12071208 0.1537949  0.18398081]
variance: 0.3896910985248346
--------------------------------------------------------------------
pi_l = 4 pi_t =  9
total problem result (min of alpha^2 + mu): 0.413213752133979
alpha: 0.5782499103905423
mu: 0.07884079250996051
F: [[ 0.63271724  0.52380635  0.52380635  0.52380635  0.52380635  0.52380635
   0.52380635  0.52380635  0.52380635  0.52380635]
 [ 0.70812044  0.70812044  0.44840093  0.44840093  0.44840093  0.44840093
   0.44840093  0.44840093  0.44840093  0.44840093]
 [ 0.7554215   0.7554215   0.7554215   0.40109534  0.40109534  0.40109534
   0.40109534  0.40109534  0.40109534  0.40109534]
 [ 0.78786308  0.78786308  0.78786308  0.78786308  0.36864963  0.36864963
   0.36864963  0.36864963  0.36864963  0.36864963]
 [ 0.89842066  0.89842066  0.89842066  0.89842066  0.89842066  0.25809132
   0.25809132  0.25809132  0.25809132  0.25809132]
 [ 1.05961493  1.05961493  1.05961493  1.05961493  1.05961493  1.05961493
   0.09689525  0.09689525  0.09689525  0.09689525]
 [ 1.31656777  1.31656777  1.31656777  1.31656777  1.31656777  1.31656777
   1.31656777 -0.16006129 -0.16006129 -0.16006129]
 [ 1.79066302  1.79066302  1.79066302  1.79066302  1.79066302  1.79066302
   1.79066302  1.79066302 -0.63416501 -0.63416501]
 [ 2.95855161  2.95855161  2.95855161  2.95855161  2.95855161  2.95855161
   2.95855161  2.95855161  2.95855161 -1.80208367]
 [ 0.5782504   0.5782504   0.5782504   0.5782504   0.5782504   0.5782504
   0.5782504   0.5782504   0.5782504   0.5782504 ]]
warst p star:  -0.41321072710252915 p:  [0.02320787 0.02679911 0.05705843 0.10793199 0.1393705  0.07337593
 0.09890861 0.12474109 0.15535477 0.19325169]
variance: 0.4132107265893956
--------------------------------------------------------------------
pi_l = 4 pi_t =  10
total problem result (min of alpha^2 + mu): 0.3797271140259222
alpha: 0.5949930427740215
mu: 0.025710393151456845
F: [[ 0.64946239  0.5405515   0.5405515   0.5405515   0.5405515   0.5405515
   0.5405515   0.5405515   0.5405515   0.5405515 ]
 [ 0.7209595   0.7209595   0.46905111  0.46905111  0.46905111  0.46905111
   0.46905111  0.46905111  0.46905111  0.46905111]
 [ 0.76581049  0.76581049  0.76581049  0.42419558  0.42419558  0.42419558
   0.42419558  0.42419558  0.42419558  0.42419558]
 [ 0.79657171  0.79657171  0.79657171  0.79657171  0.39343034  0.39343034
   0.39343034  0.39343034  0.39343034  0.39343034]
 [ 0.90245378  0.90245378  0.90245378  0.90245378  0.90245378  0.28754695
   0.28754695  0.28754695  0.28754695  0.28754695]
 [ 1.05683116  1.05683116  1.05683116  1.05683116  1.05683116  1.05683116
   0.13316704  0.13316704  0.13316704  0.13316704]
 [ 1.30291747  1.30291747  1.30291747  1.30291747  1.30291747  1.30291747
   1.30291747 -0.11292411 -0.11292411 -0.11292411]
 [ 1.75696325  1.75696325  1.75696325  1.75696325  1.75696325  1.75696325
   1.75696325  1.75696325 -0.56698041 -0.56698041]
 [ 2.87546253  2.87546253  2.87546253  2.87546253  2.87546253  2.87546253
   2.87546253  2.87546253  2.87546253 -1.68551308]
 [ 0.59499631  0.59499631  0.59499631  0.59499631  0.59499631  0.59499631
   0.59499631  0.59499631  0.59499631  0.59499631]]
warst p star:  -0.3797236076884982 p:  [0.02099817 0.02381467 0.05546391 0.10834854 0.13668455 0.07506503
 0.10992277 0.13009993 0.15434089 0.18526154]
variance: 0.3797236071537649
--------------------------------------------------------------------
pi_l = 5 pi_t =  0
total problem result (min of alpha^2 + mu): 0.2576695705791995
alpha: 0.5499999334162421
mu: -0.044830356144547355
F: [[ 1.63697469 -0.53693836 -0.53693836 -0.53693836 -0.53693836 -0.53693836
  -0.53693836 -0.53693836 -0.53693836 -0.53693836]
 [ 1.1597629   1.1597629  -0.05974929 -0.05974929 -0.05974929 -0.05974929
  -0.05974929 -0.05974929 -0.05974929 -0.05974929]
 [ 0.97373183  0.97373183  0.97373183  0.12627421  0.12627421  0.12627421
   0.12627421  0.12627421  0.12627421  0.12627421]
 [ 0.87467648  0.87467648  0.87467648  0.87467648  0.22532583  0.22532583
   0.22532583  0.22532583  0.22532583  0.22532583]
 [ 0.81315793  0.81315793  0.81315793  0.81315793  0.81315793  0.28684214
   0.28684214  0.28684214  0.28684214  0.28684214]
 [ 0.87467424  0.87467424  0.87467424  0.87467424  0.87467424  0.87467424
   0.22532359  0.22532359  0.22532359  0.22532359]
 [ 0.9737259   0.9737259   0.9737259   0.9737259   0.9737259   0.9737259
   0.9737259   0.12626827  0.12626827  0.12626827]
 [ 1.15974951  1.15974951  1.15974951  1.15974951  1.15974951  1.15974951
   1.15974951  1.15974951 -0.05976268 -0.05976268]
 [ 1.63693733  1.63693733  1.63693733  1.63693733  1.63693733  1.63693733
   1.63693733  1.63693733  1.63693733 -0.53697571]
 [ 0.55000003  0.55000003  0.55000003  0.55000003  0.55000003  0.55000003
   0.55000003  0.55000003  0.55000003  0.55000003]]
warst p star:  -0.257665817379111 p:  [0.14360525 0.04159766 0.10098026 0.16088501 0.09004705 0.06017791
 0.07344087 0.09106953 0.10919094 0.12900552]
variance: 0.2576658169357937
--------------------------------------------------------------------
pi_l = 5 pi_t =  1
total problem result (min of alpha^2 + mu): 0.4113749795589585
alpha: 0.5050043391189479
mu: 0.1563455970118901
F: [[ 2.57023909 -1.56019569 -1.56019569 -1.56019569 -1.56019569 -1.56019569
  -1.56019569 -1.56019569 -1.56019569 -1.56019569]
 [ 1.5415905   1.5415905  -0.53158023 -0.53158023 -0.53158023 -0.53158023
  -0.53158023 -0.53158023 -0.53158023 -0.53158023]
 [ 1.14059545  1.14059545  1.14059545 -0.13059099 -0.13059099 -0.13059099
  -0.13059099 -0.13059099 -0.13059099 -0.13059099]
 [ 0.92707892  0.92707892  0.92707892  0.92707892  0.08292307  0.08292307
   0.08292307  0.08292307  0.08292307  0.08292307]
 [ 0.79447416  0.79447416  0.79447416  0.79447416  0.79447416  0.21552679
   0.21552679  0.21552679  0.21552679  0.21552679]
 [ 0.79720648  0.79720648  0.79720648  0.79720648  0.79720648  0.79720648
   0.21279089  0.21279089  0.21279089  0.21279089]
 [ 0.80160647  0.80160647  0.80160647  0.80160647  0.80160647  0.80160647
   0.80160647  0.20838613  0.20838613  0.20838613]
 [ 0.80987064  0.80987064  0.80987064  0.80987064  0.80987064  0.80987064
   0.80987064  0.80987064  0.20011454  0.20011454]
 [ 0.83107134  0.83107134  0.83107134  0.83107134  0.83107134  0.83107134
   0.83107134  0.83107134  0.83107134  0.17889743]
 [ 0.50500399  0.50500399  0.50500399  0.50500399  0.50500399  0.50500399
   0.50500399  0.50500399  0.50500399  0.50500399]]
warst p star:  -0.41137205884654454 p:  [0.26687942 0.08928699 0.10510185 0.09522582 0.04345206 0.05353577
 0.06605674 0.08280906 0.09500998 0.10264231]
variance: 0.411372058555063
--------------------------------------------------------------------
pi_l = 5 pi_t =  2
total problem result (min of alpha^2 + mu): 0.36704173846447646
alpha: 0.5050037289612458
mu: 0.11201297222167712
F: [[ 2.20623464 -1.19619205 -1.19619205 -1.19619205 -1.19619205 -1.19619205
  -1.19619205 -1.19619205 -1.19619205 -1.19619205]
 [ 1.58696875  1.58696875 -0.57695638 -0.57695638 -0.57695638 -0.57695638
  -0.57695638 -0.57695638 -0.57695638 -0.57695638]
 [ 1.16818736  1.16818736  1.16818736 -0.15818237 -0.15818237 -0.15818237
  -0.15818237 -0.15818237 -0.15818237 -0.15818237]
 [ 0.94520028  0.94520028  0.94520028  0.94520028  0.06480161  0.06480161
   0.06480161  0.06480161  0.06480161  0.06480161]
 [ 0.80671385  0.80671385  0.80671385  0.80671385  0.80671385  0.20328668
   0.20328668  0.20328668  0.20328668  0.20328668]
 [ 0.80928722  0.80928722  0.80928722  0.80928722  0.80928722  0.80928722
   0.20070975  0.20070975  0.20070975  0.20070975]
 [ 0.8134313   0.8134313   0.8134313   0.8134313   0.8134313   0.8134313
   0.8134313   0.19656098  0.19656098  0.19656098]
 [ 0.82121486  0.82121486  0.82121486  0.82121486  0.82121486  0.82121486
   0.82121486  0.82121486  0.18877017  0.18877017]
 [ 0.84118276  0.84118276  0.84118276  0.84118276  0.84118276  0.84118276
   0.84118276  0.84118276  0.84118276  0.1687864 ]
 [ 0.50500344  0.50500344  0.50500344  0.50500344  0.50500344  0.50500344
   0.50500344  0.50500344  0.50500344  0.50500344]]
warst p star:  -0.3670389198799961 p:  [0.24579663 0.10168994 0.10197494 0.10207246 0.04267026 0.05294265
 0.06629956 0.08417429 0.09715665 0.10522264]
variance: 0.3670389195764716
--------------------------------------------------------------------
pi_l = 5 pi_t =  3
total problem result (min of alpha^2 + mu): 0.3172992006603383
alpha: 0.5050027141369434
mu: 0.06227145932949453
F: [[ 1.86789522 -0.85785729 -0.85785729 -0.85785729 -0.85785729 -0.85785729
  -0.85785729 -0.85785729 -0.85785729 -0.85785729]
 [ 1.41025997  1.41025997 -0.4002466  -0.4002466  -0.4002466  -0.4002466
  -0.4002466  -0.4002466  -0.4002466  -0.4002466 ]
 [ 1.23186093  1.23186093  1.23186093 -0.22185485 -0.22185485 -0.22185485
  -0.22185485 -0.22185485 -0.22185485 -0.22185485]
 [ 0.98701897  0.98701897  0.98701897  0.98701897  0.02298301  0.02298301
   0.02298301  0.02298301  0.02298301  0.02298301]
 [ 0.83495956  0.83495956  0.83495956  0.83495956  0.83495956  0.17504053
   0.17504053  0.17504053  0.17504053  0.17504053]
 [ 0.83716618  0.83716618  0.83716618  0.83716618  0.83716618  0.83716618
   0.17283051  0.17283051  0.17283051  0.17283051]
 [ 0.84071974  0.84071974  0.84071974  0.84071974  0.84071974  0.84071974
   0.84071974  0.16927254  0.16927254  0.16927254]
 [ 0.84739429  0.84739429  0.84739429  0.84739429  0.84739429  0.84739429
   0.84739429  0.84739429  0.16259129  0.16259129]
 [ 0.86451735  0.86451735  0.86451735  0.86451735  0.86451735  0.86451735
   0.86451735  0.86451735  0.86451735  0.14545381]
 [ 0.50500253  0.50500253  0.50500253  0.50500253  0.50500253  0.50500253
   0.50500253  0.50500253  0.50500253  0.50500253]]
warst p star:  -0.3172967095479344 p:  [0.22297234 0.10827934 0.08851216 0.12070806 0.03601843 0.05359574
 0.06816629 0.08807318 0.1024413  0.11123316]
variance: 0.3172967092253503
--------------------------------------------------------------------
pi_l = 5 pi_t =  4
total problem result (min of alpha^2 + mu): 0.27271282659406343
alpha: 0.5050016056698193
mu: 0.017686204857013783
F: [[ 1.50304128 -0.49300615 -0.49300615 -0.49300615 -0.49300615 -0.49300615
  -0.49300615 -0.49300615 -0.49300615 -0.49300615]
 [ 1.231171    1.231171   -0.22115716 -0.22115716 -0.22115716 -0.22115716
  -0.22115716 -0.22115716 -0.22115716 -0.22115716]
 [ 1.12518842  1.12518842  1.12518842 -0.11518138 -0.11518138 -0.11518138
  -0.11518138 -0.11518138 -0.11518138 -0.11518138]
 [ 1.06875566  1.06875566  1.06875566  1.06875566 -0.0587532  -0.0587532
  -0.0587532  -0.0587532  -0.0587532  -0.0587532 ]
 [ 0.8901673   0.8901673   0.8901673   0.8901673   0.8901673   0.11983237
   0.11983237  0.11983237  0.11983237  0.11983237]
 [ 0.89165695  0.89165695  0.89165695  0.89165695  0.89165695  0.89165695
   0.11833936  0.11833936  0.11833936  0.11833936]
 [ 0.89405613  0.89405613  0.89405613  0.89405613  0.89405613  0.89405613
   0.89405613  0.11593594  0.11593594  0.11593594]
 [ 0.89856273  0.89856273  0.89856273  0.89856273  0.89856273  0.89856273
   0.89856273  0.89856273  0.11142304  0.11142304]
 [ 0.91012466  0.91012466  0.91012466  0.91012466  0.91012466  0.91012466
   0.91012466  0.91012466  0.91012466  0.09984798]
 [ 0.50500149  0.50500149  0.50500149  0.50500149  0.50500149  0.50500149
   0.50500149  0.50500149  0.50500149  0.50500149]]
warst p star:  -0.27271060379368517 p:  [0.19766122 0.11244627 0.06547752 0.13080985 0.04468168 0.05357347
 0.07023727 0.09378229 0.11062595 0.12070447]
variance: 0.27271060344579595
--------------------------------------------------------------------
pi_l = 5 pi_t =  5
total problem result (min of alpha^2 + mu): 0.24750000015252258
alpha: 0.5049999966301911
mu: -0.007524996503096562
F: [[1.00502363 0.00502363 0.00502363 0.00502363 0.00502363 0.00502363
  0.00502363 0.00502363 0.00502363 0.00502363]
 [1.00501284 1.00501284 0.00501284 0.00501284 0.00501284 0.00501284
  0.00501284 0.00501284 0.00501284 0.00501284]
 [1.00500736 1.00500736 1.00500736 0.00500736 0.00500736 0.00500736
  0.00500736 0.00500736 0.00500736 0.00500736]
 [1.00500346 1.00500346 1.00500346 1.00500346 0.00500346 0.00500346
  0.00500346 0.00500346 0.00500346 0.00500346]
 [1.00500014 1.00500014 1.00500014 1.00500014 1.00500014 0.00500014
  0.00500014 0.00500014 0.00500014 0.00500014]
 [1.00499686 1.00499686 1.00499686 1.00499686 1.00499686 1.00499686
  0.00499686 0.00499686 0.00499686 0.00499686]
 [1.00499306 1.00499306 1.00499306 1.00499306 1.00499306 1.00499306
  1.00499306 0.00499306 0.00499306 0.00499306]
 [1.00498794 1.00498794 1.00498794 1.00498794 1.00498794 1.00498794
  1.00498794 1.00498794 0.00498794 0.00498794]
 [1.00497218 1.00497218 1.00497218 1.00497218 1.00497218 1.00497218
  1.00497218 1.00497218 1.00497218 0.00497218]
 [0.50500033 0.50500033 0.50500033 0.50500033 0.50500033 0.50500033
  0.50500033 0.50500033 0.50500033 0.50500033]]
warst p star:  -0.24749669062813717 p:  [0.15690756 0.11271105 0.05112    0.10564331 0.09537235 0.04693934
 0.06886373 0.10091602 0.12380828 0.13771835]
variance: 0.24749669024361454
--------------------------------------------------------------------
pi_l = 5 pi_t =  6
total problem result (min of alpha^2 + mu): 0.26289397614552956
alpha: 0.5229963059505176
mu: -0.010631159678271933
F: [[ 0.63171345  0.41432215  0.41432215  0.41432215  0.41432215  0.41432215
   0.41432215  0.41432215  0.41432215  0.41432215]
 [ 0.80350173  0.80350173  0.24252612  0.24252612  0.24252612  0.24252612
   0.24252612  0.24252612  0.24252612  0.24252612]
 [ 0.870466    0.870466    0.870466    0.17555075  0.17555075  0.17555075
   0.17555075  0.17555075  0.17555075  0.17555075]
 [ 0.90612103  0.90612103  0.90612103  0.90612103  0.13988726  0.13988726
   0.13988726  0.13988726  0.13988726  0.13988726]
 [ 0.9282638   0.9282638   0.9282638   0.9282638   0.9282638   0.11773749
   0.11773749  0.11773749  0.11773749  0.11773749]
 [ 1.13988101  1.13988101  1.13988101  1.13988101  1.13988101  1.13988101
  -0.09388523 -0.09388523 -0.09388523 -0.09388523]
 [ 1.17553556  1.17553556  1.17553556  1.17553556  1.17553556  1.17553556
   1.17553556 -0.12954918 -0.12954918 -0.12954918]
 [ 1.24249903  1.24249903  1.24249903  1.24249903  1.24249903  1.24249903
   1.24249903  1.24249903 -0.19652536 -0.19652536]
 [ 1.41427247  1.41427247  1.41427247  1.41427247  1.41427247  1.41427247
   1.41427247  1.41427247  1.41427247 -0.36833623]
 [ 0.52299655  0.52299655  0.52299655  0.52299655  0.52299655  0.52299655
   0.52299655  0.52299655  0.52299655  0.52299655]]
warst p star:  -0.26289035601582694 p:  [0.09857757 0.08740853 0.04962447 0.09854887 0.13339016 0.03954662
 0.07573413 0.11223908 0.14127986 0.1636507 ]
variance: 0.26289035556854834
--------------------------------------------------------------------
pi_l = 5 pi_t =  7
total problem result (min of alpha^2 + mu): 0.2869971607188537
alpha: 0.5459041338258717
mu: -0.011014162571953099
F: [[ 0.65462133  0.43723003  0.43723003  0.43723003  0.43723003  0.43723003
   0.43723003  0.43723003  0.43723003  0.43723003]
 [ 0.77319389  0.77319389  0.31864843  0.31864843  0.31864843  0.31864843
   0.31864843  0.31864843  0.31864843  0.31864843]
 [ 0.81941374  0.81941374  0.81941374  0.27241837  0.27241837  0.27241837
   0.27241837  0.27241837  0.27241837  0.27241837]
 [ 0.8440232   0.8440232   0.8440232   0.8440232   0.24780124  0.24780124
   0.24780124  0.24780124  0.24780124  0.24780124]
 [ 0.85930622  0.85930622  0.85930622  0.85930622  0.85930622  0.23251196
   0.23251196  0.23251196  0.23251196  0.23251196]
 [ 1.0211141   1.0211141   1.0211141   1.0211141   1.0211141   1.0211141
   0.07070088  0.07070088  0.07070088  0.07070088]
 [ 1.28165106  1.28165106  1.28165106  1.28165106  1.28165106  1.28165106
   1.28165106 -0.18984354 -0.18984354 -0.18984354]
 [ 1.4383579   1.4383579   1.4383579   1.4383579   1.4383579   1.4383579
   1.4383579   1.4383579  -0.3465645  -0.3465645 ]
 [ 1.8403513   1.8403513   1.8403513   1.8403513   1.8403513   1.8403513
   1.8403513   1.8403513   1.8403513  -0.7485815 ]
 [ 0.54590386  0.54590386  0.54590386  0.54590386  0.54590386  0.54590386
   0.54590386  0.54590386  0.54590386  0.54590386]]
warst p star:  -0.2869936282269411 p:  [0.06562945 0.05253087 0.05296999 0.10163595 0.13836561 0.06273307
 0.08521453 0.11860845 0.14816933 0.17414275]
variance: 0.2869936277370917
--------------------------------------------------------------------
pi_l = 5 pi_t =  8
total problem result (min of alpha^2 + mu): 0.3162397715035982
alpha: 0.5626884167844847
mu: -0.00037848278530603653
F: [[ 0.67139841  0.45400711  0.45400711  0.45400711  0.45400711  0.45400711
   0.45400711  0.45400711  0.45400711  0.45400711]
 [ 0.76438795  0.76438795  0.36101084  0.36101084  0.36101084  0.36101084
   0.36101084  0.36101084  0.36101084  0.36101084]
 [ 0.80063628  0.80063628  0.80063628  0.32475623  0.32475623  0.32475623
   0.32475623  0.32475623  0.32475623  0.32475623]
 [ 0.81993671  0.81993671  0.81993671  0.81993671  0.30545119  0.30545119
   0.30545119  0.30545119  0.30545119  0.30545119]
 [ 0.83192288  0.83192288  0.83192288  0.83192288  0.83192288  0.29346134
   0.29346134  0.29346134  0.29346134  0.29346134]
 [ 0.96978438  0.96978438  0.96978438  0.96978438  0.96978438  0.96978438
   0.15559856  0.15559856  0.15559856  0.15559856]
 [ 1.19176425  1.19176425  1.19176425  1.19176425  1.19176425  1.19176425
   1.19176425 -0.06638438 -0.06638438 -0.06638438]
 [ 1.6086524   1.6086524   1.6086524   1.6086524   1.6086524   1.6086524
   1.6086524   1.6086524  -0.48328006 -0.48328006]
 [ 2.17638743  2.17638743  2.17638743  2.17638743  2.17638743  2.17638743
   2.17638743  2.17638743  2.17638743 -1.05103732]
 [ 0.56268852  0.56268852  0.56268852  0.56268852  0.56268852  0.56268852
   0.56268852  0.56268852  0.56268852  0.56268852]]
warst p star:  -0.31623725792794927 p:  [0.03117212 0.03050214 0.05933326 0.10850704 0.14488214 0.07514201
 0.09266374 0.1204267  0.15335317 0.18401768]
variance: 0.3162372574153025
--------------------------------------------------------------------
pi_l = 5 pi_t =  9
total problem result (min of alpha^2 + mu): 0.33540186099495184
alpha: 0.5782502480298258
mu: 0.0010285112513923331
F: [[ 0.68696451  0.4695732   0.4695732   0.4695732   0.4695732   0.4695732
   0.4695732   0.4695732   0.4695732   0.4695732 ]
 [ 0.76686338  0.76686338  0.38966542  0.38966542  0.38966542  0.38966542
   0.38966542  0.38966542  0.38966542  0.38966542]
 [ 0.79800815  0.79800815  0.79800815  0.35851269  0.35851269  0.35851269
   0.35851269  0.35851269  0.35851269  0.35851269]
 [ 0.81459095  0.81459095  0.81459095  0.81459095  0.34192408  0.34192408
   0.34192408  0.34192408  0.34192408  0.34192408]
 [ 0.82488924  0.82488924  0.82488924  0.82488924  0.82488924  0.33162118
   0.33162118  0.33162118  0.33162118  0.33162118]
 [ 0.95049881  0.95049881  0.95049881  0.95049881  0.95049881  0.95049881
   0.20601074  0.20601074  0.20601074  0.20601074]
 [ 1.15275098  1.15275098  1.15275098  1.15275098  1.15275098  1.15275098
   1.15275098  0.00375611  0.00375611  0.00375611]
 [ 1.53258971  1.53258971  1.53258971  1.53258971  1.53258971  1.53258971
   1.53258971  1.53258971 -0.37608868 -0.37608868]
 [ 2.50694836  2.50694836  2.50694836  2.50694836  2.50694836  2.50694836
   2.50694836  2.50694836  2.50694836 -1.35048339]
 [ 0.57824999  0.57824999  0.57824999  0.57824999  0.57824999  0.57824999
   0.57824999  0.57824999  0.57824999  0.57824999]]
warst p star:  -0.33539846468398204 p:  [0.02387973 0.02582421 0.056274   0.10758847 0.14000004 0.07484266
 0.09888717 0.12458602 0.154858   0.1932597 ]
variance: 0.33539846415731
--------------------------------------------------------------------
pi_l = 5 pi_t =  10
total problem result (min of alpha^2 + mu): 0.3083071514780845
alpha: 0.5949951227989859
mu: -0.04571204470188426
F: [[ 0.70370749  0.48631619  0.48631619  0.48631619  0.48631619  0.48631619
   0.48631619  0.48631619  0.48631619  0.48631619]
 [ 0.77793451  0.77793451  0.41208085  0.41208085  0.41208085  0.41208085
   0.41208085  0.41208085  0.41208085  0.41208085]
 [ 0.80686851  0.80686851  0.80686851  0.3831397   0.3831397   0.3831397
   0.3831397   0.3831397   0.3831397   0.3831397 ]
 [ 0.82227422  0.82227422  0.82227422  0.82227422  0.36772877  0.36772877
   0.36772877  0.36772877  0.36772877  0.36772877]
 [ 0.83184152  0.83184152  0.83184152  0.83184152  0.83184152  0.35815731
   0.35815731  0.35815731  0.35815731  0.35815731]
 [ 0.95214189  0.95214189  0.95214189  0.95214189  0.95214189  0.95214189
   0.23785617  0.23785617  0.23785617  0.23785617]
 [ 1.14584538  1.14584538  1.14584538  1.14584538  1.14584538  1.14584538
   1.14584538  0.04415047  0.04415047  0.04415047]
 [ 1.50962933  1.50962933  1.50962933  1.50962933  1.50962933  1.50962933
   1.50962933  1.50962933 -0.31963897 -0.31963897]
 [ 2.44280575  2.44280575  2.44280575  2.44280575  2.44280575  2.44280575
   2.44280575  2.44280575  2.44280575 -1.25284643]
 [ 0.59499469  0.59499469  0.59499469  0.59499469  0.59499469  0.59499469
   0.59499469  0.59499469  0.59499469  0.59499469]]
warst p star:  -0.3083042027007092 p:  [0.02136984 0.02254045 0.05448245 0.10794648 0.13740416 0.07680522
 0.11043729 0.13048617 0.154151   0.18437693]
variance: 0.3083042021530206
--------------------------------------------------------------------
pi_l = 6 pi_t =  0
total problem result (min of alpha^2 + mu): 0.45332175370043
alpha: 0.5500036777382832
mu: 0.15081770887582227
F: [[ 5.5500353  -4.4499647  -4.4499647  -4.4499647  -4.4499647  -4.4499647
  -4.4499647  -4.4499647  -4.4499647  -4.4499647 ]
 [ 1.63696305  1.63696305 -0.53694999 -0.53694999 -0.53694999 -0.53694999
  -0.53694999 -0.53694999 -0.53694999 -0.53694999]
 [ 1.15975928  1.15975928  1.15975928 -0.05975292 -0.05975292 -0.05975292
  -0.05975292 -0.05975292 -0.05975292 -0.05975292]
 [ 0.97373067  0.97373067  0.97373067  0.97373067  0.12627305  0.12627305
   0.12627305  0.12627305  0.12627305  0.12627305]
 [ 0.87467642  0.87467642  0.87467642  0.87467642  0.87467642  0.22532577
   0.22532577  0.22532577  0.22532577  0.22532577]
 [ 0.81315844  0.81315844  0.81315844  0.81315844  0.81315844  0.81315844
   0.28684265  0.28684265  0.28684265  0.28684265]
 [ 0.87467389  0.87467389  0.87467389  0.87467389  0.87467389  0.87467389
   0.87467389  0.22532324  0.22532324  0.22532324]
 [ 0.97372379  0.97372379  0.97372379  0.97372379  0.97372379  0.97372379
   0.97372379  0.97372379  0.12626616  0.12626616]
 [ 1.15974702  1.15974702  1.15974702  1.15974702  1.15974702  1.15974702
   1.15974702  1.15974702  1.15974702 -0.05976517]
 [ 0.5500033   0.5500033   0.5500033   0.5500033   0.5500033   0.5500033
   0.5500033   0.5500033   0.5500033   0.5500033 ]]
warst p star:  -0.45331773128890573 p:  [0.1474088  0.04203493 0.09983631 0.15802746 0.08689055 0.05882112
 0.07491023 0.09252025 0.11053718 0.12901317]
variance: 0.4533177308775684
--------------------------------------------------------------------
pi_l = 6 pi_t =  1
total problem result (min of alpha^2 + mu): 1.210263456894117
alpha: 0.5050076104077784
mu: 0.9552307719666588
F: [[10.00503642 -8.99496358 -8.99496358 -8.99496358 -8.99496358 -8.99496358
  -8.99496358 -8.99496358 -8.99496358 -8.99496358]
 [ 2.35283101  2.35283101 -1.34282116 -1.34282116 -1.34282116 -1.34282116
  -1.34282116 -1.34282116 -1.34282116 -1.34282116]
 [ 1.41963653  1.41963653  1.41963653 -0.40963176 -0.40963176 -0.40963176
  -0.40963176 -0.40963176 -0.40963176 -0.40963176]
 [ 1.05584921  1.05584921  1.05584921  1.05584921 -0.0458457  -0.0458457
  -0.0458457  -0.0458457  -0.0458457  -0.0458457 ]
 [ 0.86214452  0.86214452  0.86214452  0.86214452  0.86214452  0.1478588
   0.1478588   0.1478588   0.1478588   0.1478588 ]
 [ 0.741844    0.741844    0.741844    0.741844    0.741844    0.741844
   0.26815979  0.26815979  0.26815979  0.26815979]
 [ 0.73227114  0.73227114  0.73227114  0.73227114  0.73227114  0.73227114
   0.73227114  0.27772569  0.27772569  0.27772569]
 [ 0.71685774  0.71685774  0.71685774  0.71685774  0.71685774  0.71685774
   0.71685774  0.71685774  0.29312893  0.29312893]
 [ 0.68791351  0.68791351  0.68791351  0.68791351  0.68791351  0.68791351
   0.68791351  0.68791351  0.68791351  0.32205985]
 [ 0.50501116  0.50501116  0.50501116  0.50501116  0.50501116  0.50501116
   0.50501116  0.50501116  0.50501116  0.50501116]]
warst p star:  -1.2102598129763695 p:  [0.27194589 0.10026027 0.0934581  0.08011405 0.03903539 0.05720207
 0.07361293 0.08656009 0.09599888 0.10181234]
variance: 1.2102598127568087
--------------------------------------------------------------------
pi_l = 6 pi_t =  2
total problem result (min of alpha^2 + mu): 0.9472556582039365
alpha: 0.5050065807197325
mu: 0.6922240114079595
F: [[ 8.33061723 -7.32054556 -7.32054556 -7.32054556 -7.32054556 -7.32054556
  -7.32054556 -7.32054556 -7.32054556 -7.32054556]
 [ 2.43372097  2.43372097 -1.42371078 -1.42371078 -1.42371078 -1.42371078
  -1.42371078 -1.42371078 -1.42371078 -1.42371078]
 [ 1.45934144  1.45934144  1.45934144 -0.44933695 -0.44933695 -0.44933695
  -0.44933695 -0.44933695 -0.44933695 -0.44933695]
 [ 1.07949896  1.07949896  1.07949896  1.07949896 -0.06949592 -0.06949592
  -0.06949592 -0.06949592 -0.06949592 -0.06949592]
 [ 0.87724542  0.87724542  0.87724542  0.87724542  0.87724542  0.13275735
   0.13275735  0.13275735  0.13275735  0.13275735]
 [ 0.75163558  0.75163558  0.75163558  0.75163558  0.75163558  0.75163558
   0.25836752  0.25836752  0.25836752  0.25836752]
 [ 0.7413319   0.7413319   0.7413319   0.7413319   0.7413319   0.7413319
   0.7413319   0.26866503  0.26866503  0.26866503]
 [ 0.72474215  0.72474215  0.72474215  0.72474215  0.72474215  0.72474215
   0.72474215  0.72474215  0.28524668  0.28524668]
 [ 0.69358662  0.69358662  0.69358662  0.69358662  0.69358662  0.69358662
   0.69358662  0.69358662  0.69358662  0.31638866]
 [ 0.50500967  0.50500967  0.50500967  0.50500967  0.50500967  0.50500967
   0.50500967  0.50500967  0.50500967  0.50500967]]
warst p star:  -0.94725210210372 p:  [0.25029453 0.10938143 0.0939946  0.09123847 0.03811804 0.05356428
 0.07256209 0.08751218 0.09834564 0.10498874]
variance: 0.9472521018595332
--------------------------------------------------------------------
pi_l = 6 pi_t =  3
total problem result (min of alpha^2 + mu): 0.7087288125535092
alpha: 0.5050054736618698
mu: 0.4536982835852409
F: [[ 6.77426629 -5.76419525 -5.76419525 -5.76419525 -5.76419525 -5.76419525
  -5.76419525 -5.76419525 -5.76419525 -5.76419525]
 [ 2.11871926  2.11871926 -1.10870549 -1.10870549 -1.10870549 -1.10870549
  -1.10870549 -1.10870549 -1.10870549 -1.10870549]
 [ 1.55096871  1.55096871  1.55096871 -0.54096375 -0.54096375 -0.54096375
  -0.54096375 -0.54096375 -0.54096375 -0.54096375]
 [ 1.13407551  1.13407551  1.13407551  1.13407551 -0.12407312 -0.12407312
  -0.12407312 -0.12407312 -0.12407312 -0.12407312]
 [ 0.91209367  0.91209367  0.91209367  0.91209367  0.91209367  0.09790786
   0.09790786  0.09790786  0.09790786  0.09790786]
 [ 0.77423153  0.77423153  0.77423153  0.77423153  0.77423153  0.77423153
   0.23576999  0.23576999  0.23576999  0.23576999]
 [ 0.76224112  0.76224112  0.76224112  0.76224112  0.76224112  0.76224112
   0.76224112  0.24775561  0.24775561  0.24775561]
 [ 0.74293524  0.74293524  0.74293524  0.74293524  0.74293524  0.74293524
   0.74293524  0.74293524  0.26705519  0.26705519]
 [ 0.70667896  0.70667896  0.70667896  0.70667896  0.70667896  0.70667896
   0.70667896  0.70667896  0.70667896  0.30330185]
 [ 0.50500703  0.50500703  0.50500703  0.50500703  0.50500703  0.50500703
   0.50500703  0.50500703  0.50500703  0.50500703]]
warst p star:  -0.7087256091453049 p:  [0.22672197 0.11295589 0.08357437 0.11296427 0.03576016 0.05011986
 0.07283003 0.09060912 0.1033882  0.11107613]
variance: 0.708725608868665
--------------------------------------------------------------------
pi_l = 6 pi_t =  4
total problem result (min of alpha^2 + mu): 0.4972181462896785
alpha: 0.5050057932186222
mu: 0.24218729511924725
F: [[ 5.09595668 -4.08586151 -4.08586151 -4.08586151 -4.08586151 -4.08586151
  -4.08586151 -4.08586151 -4.08586151 -4.08586151]
 [ 1.79947614  1.79947614 -0.78945667 -0.78945667 -0.78945667 -0.78945667
  -0.78945667 -0.78945667 -0.78945667 -0.78945667]
 [ 1.39746599  1.39746599  1.39746599 -0.38745641 -0.38745641 -0.38745641
  -0.38745641 -0.38745641 -0.38745641 -0.38745641]
 [ 1.24074933  1.24074933  1.24074933  1.24074933 -0.23074528 -0.23074528
  -0.23074528 -0.23074528 -0.23074528 -0.23074528]
 [ 0.98020707  0.98020707  0.98020707  0.98020707  0.98020707  0.02979384
   0.02979384  0.02979384  0.02979384  0.02979384]
 [ 0.81839681  0.81839681  0.81839681  0.81839681  0.81839681  0.81839681
   0.19160255  0.19160255  0.19160255  0.19160255]
 [ 0.80310872  0.80310872  0.80310872  0.80310872  0.80310872  0.80310872
   0.80310872  0.20688676  0.20688676  0.20688676]
 [ 0.77849277  0.77849277  0.77849277  0.77849277  0.77849277  0.77849277
   0.77849277  0.77849277  0.23149739  0.23149739]
 [ 0.73226339  0.73226339  0.73226339  0.73226339  0.73226339  0.73226339
   0.73226339  0.73226339  0.73226339  0.27771794]
 [ 0.50500285  0.50500285  0.50500285  0.50500285  0.50500285  0.50500285
   0.50500285  0.50500285  0.50500285  0.50500285]]
warst p star:  -0.4972144405165089 p:  [0.20143074 0.11459788 0.06333373 0.12775128 0.04042149 0.05067236
 0.07318302 0.09569914 0.1117297  0.12118066]
variance: 0.4972144401992907
--------------------------------------------------------------------
pi_l = 6 pi_t =  5
total problem result (min of alpha^2 + mu): 0.3152504981871995
alpha: 0.5050029001147941
mu: 0.06022256899713193
F: [[ 2.80504105 -1.79495895 -1.79495895 -1.79495895 -1.79495895 -1.79495895
  -1.79495895 -1.79495895 -1.79495895 -1.79495895]
 [ 1.3963162   1.3963162  -0.3862925  -0.3862925  -0.3862925  -0.3862925
  -0.3862925  -0.3862925  -0.3862925  -0.3862925 ]
 [ 1.22451866  1.22451866  1.22451866 -0.21450573 -0.21450573 -0.21450573
  -0.21450573 -0.21450573 -0.21450573 -0.21450573]
 [ 1.15754568  1.15754568  1.15754568  1.15754568 -0.14753907 -0.14753907
  -0.14753907 -0.14753907 -0.14753907 -0.14753907]
 [ 1.12188379  1.12188379  1.12188379  1.12188379  1.12188379 -0.11188244
  -0.11188244 -0.11188244 -0.11188244 -0.11188244]
 [ 0.91026245  0.91026245  0.91026245  0.91026245  0.91026245  0.91026245
   0.09973613  0.09973613  0.09973613  0.09973613]
 [ 0.88811395  0.88811395  0.88811395  0.88811395  0.88811395  0.88811395
   0.88811395  0.12188018  0.12188018  0.12188018]
 [ 0.85245187  0.85245187  0.85245187  0.85245187  0.85245187  0.85245187
   0.85245187  0.85245187  0.15753662  0.15753662]
 [ 0.78547775  0.78547775  0.78547775  0.78547775  0.78547775  0.78547775
   0.78547775  0.78547775  0.78547775  0.22450214]
 [ 0.50500239  0.50500239  0.50500239  0.50500239  0.50500239  0.50500239
   0.50500239  0.50500239  0.50500239  0.50500239]]
warst p star:  -0.3152477417526384 p:  [0.1575543  0.11259462 0.0505021  0.10565694 0.09439178 0.0473226
 0.07022362 0.10160507 0.1237318  0.13641717]
variance: 0.3152477413790033
--------------------------------------------------------------------
pi_l = 6 pi_t =  6
total problem result (min of alpha^2 + mu): 0.23850000008284922
alpha: 0.5229999963701512
mu: -0.03502899611019924
F: [[1.02303735 0.02303735 0.02303735 0.02303735 0.02303735 0.02303735
  0.02303735 0.02303735 0.02303735 0.02303735]
 [1.02301631 1.02301631 0.02301631 0.02301631 0.02301631 0.02301631
  0.02301631 0.02301631 0.02301631 0.02301631]
 [1.02300932 1.02300932 1.02300932 0.02300932 0.02300932 0.02300932
  0.02300932 0.02300932 0.02300932 0.02300932]
 [1.02300516 1.02300516 1.02300516 1.02300516 0.02300516 0.02300516
  0.02300516 0.02300516 0.02300516 0.02300516]
 [1.02300201 1.02300201 1.02300201 1.02300201 1.02300201 0.02300201
  0.02300201 0.02300201 0.02300201 0.02300201]
 [1.02299922 1.02299922 1.02299922 1.02299922 1.02299922 1.02299922
  0.02299922 0.02299922 0.02299922 0.02299922]
 [1.02299627 1.02299627 1.02299627 1.02299627 1.02299627 1.02299627
  1.02299627 0.02299627 0.02299627 0.02299627]
 [1.02299253 1.02299253 1.02299253 1.02299253 1.02299253 1.02299253
  1.02299253 1.02299253 0.02299253 0.02299253]
 [1.02298532 1.02298532 1.02298532 1.02298532 1.02298532 1.02298532
  1.02298532 1.02298532 1.02298532 0.02298532]
 [0.52300008 0.52300008 0.52300008 0.52300008 0.52300008 0.52300008
  0.52300008 0.52300008 0.52300008 0.52300008]]
warst p star:  -0.23849733983936716 p:  [0.09832663 0.08689465 0.0492686  0.0984844  0.133724   0.04031326
 0.07658692 0.11292299 0.14140938 0.16206917]
variance: 0.23849733938755752
--------------------------------------------------------------------
pi_l = 6 pi_t =  7
total problem result (min of alpha^2 + mu): 0.22939446507141353
alpha: 0.5459080993494391
mu: -0.06862118781668802
F: [[ 1.04594434  0.04594434  0.04594434  0.04594434  0.04594434  0.04594434
   0.04594434  0.04594434  0.04594434  0.04594434]
 [ 0.95106115  0.95106115  0.14078447  0.14078447  0.14078447  0.14078447
   0.14078447  0.14078447  0.14078447  0.14078447]
 [ 0.93948661  0.93948661  0.93948661  0.15234692  0.15234692  0.15234692
   0.15234692  0.15234692  0.15234692  0.15234692]
 [ 0.93497331  0.93497331  0.93497331  0.93497331  0.15685313  0.15685313
   0.15685313  0.15685313  0.15685313  0.15685313]
 [ 0.9325694   0.9325694   0.9325694   0.9325694   0.9325694   0.15925181
   0.15925181  0.15925181  0.15925181  0.15925181]
 [ 0.93107583  0.93107583  0.93107583  0.93107583  0.93107583  0.93107583
   0.1607409   0.1607409   0.1607409   0.1607409 ]
 [ 1.10966006  1.10966006  1.10966006  1.10966006  1.10966006  1.10966006
   1.10966006 -0.01784879 -0.01784879 -0.01784879]
 [ 1.16608627  1.16608627  1.16608627  1.16608627  1.16608627  1.16608627
   1.16608627  1.16608627 -0.07428353 -0.07428353]
 [ 1.27206492  1.27206492  1.27206492  1.27206492  1.27206492  1.27206492
   1.27206492  1.27206492  1.27206492 -0.18026324]
 [ 0.54590745  0.54590745  0.54590745  0.54590745  0.54590745  0.54590745
   0.54590745  0.54590745  0.54590745  0.54590745]]
warst p star:  -0.22939211686266708 p:  [0.06492772 0.05156251 0.05252329 0.10164296 0.13904888 0.06403313
 0.08608111 0.11946157 0.14849993 0.17221889]
variance: 0.22939211636169277
--------------------------------------------------------------------
pi_l = 6 pi_t =  8
total problem result (min of alpha^2 + mu): 0.2343573430655901
alpha: 0.5626893127758267
mu: -0.08226191961189783
F: [[ 1.06274722  0.06274722  0.06274722  0.06274722  0.06274722  0.06274722
   0.06274722  0.06274722  0.06274722  0.06274722]
 [ 0.92224402  0.92224402  0.20318048  0.20318048  0.20318048  0.20318048
   0.20318048  0.20318048  0.20318048  0.20318048]
 [ 0.90510495  0.90510495  0.90510495  0.22030195  0.22030195  0.22030195
   0.22030195  0.22030195  0.22030195  0.22030195]
 [ 0.89842203  0.89842203  0.89842203  0.89842203  0.22697484  0.22697484
   0.22697484  0.22697484  0.22697484  0.22697484]
 [ 0.89486267  0.89486267  0.89486267  0.89486267  0.89486267  0.230527
   0.230527    0.230527    0.230527    0.230527  ]
 [ 0.89265141  0.89265141  0.89265141  0.89265141  0.89265141  0.89265141
   0.23273238  0.23273238  0.23273238  0.23273238]
 [ 1.04470717  1.04470717  1.04470717  1.04470717  1.04470717  1.04470717
   1.04470717  0.08067121  0.08067121  0.08067121]
 [ 1.28954112  1.28954112  1.28954112  1.28954112  1.28954112  1.28954112
   1.28954112  1.28954112 -0.16417465 -0.16417465]
 [ 1.46792453  1.46792453  1.46792453  1.46792453  1.46792453  1.46792453
   1.46792453  1.46792453  1.46792453 -0.34258204]
 [ 0.56268935  0.56268935  0.56268935  0.56268935  0.56268935  0.56268935
   0.56268935  0.56268935  0.56268935  0.56268935]]
warst p star:  -0.23435293991438763 p:  [0.0313695  0.0306548  0.05919175 0.10832817 0.14518669 0.07579814
 0.09185825 0.11964732 0.15320201 0.18476337]
variance: 0.23435293938604368
--------------------------------------------------------------------
pi_l = 6 pi_t =  9
total problem result (min of alpha^2 + mu): 0.23641190327844847
alpha: 0.5782534459187759
mu: -0.09796514435691289
F: [[ 1.07829501  0.07829501  0.07829501  0.07829501  0.07829501  0.07829501
   0.07829501  0.07829501  0.07829501  0.07829501]
 [ 0.91446755  0.91446755  0.24207119  0.24207119  0.24207119  0.24207119
   0.24207119  0.24207119  0.24207119  0.24207119]
 [ 0.89448562  0.89448562  0.89448562  0.26204092  0.26204092  0.26204092
   0.26204092  0.26204092  0.26204092  0.26204092]
 [ 0.88669497  0.88669497  0.88669497  0.88669497  0.26982465  0.26982465
   0.26982465  0.26982465  0.26982465  0.26982465]
 [ 0.88254606  0.88254606  0.88254606  0.88254606  0.88254606  0.27396859
   0.27396859  0.27396859  0.27396859  0.27396859]
 [ 0.8799689   0.8799689   0.8799689   0.8799689   0.8799689   0.8799689
   0.27654173  0.27654173  0.27654173  0.27654173]
 [ 1.01845297  1.01845297  1.01845297  1.01845297  1.01845297  1.01845297
   1.01845297  0.1380543   0.1380543   0.1380543 ]
 [ 1.2414348   1.2414348   1.2414348   1.2414348   1.2414348   1.2414348
   1.2414348   1.2414348  -0.08493493 -0.08493493]
 [ 1.66020511  1.66020511  1.66020511  1.66020511  1.66020511  1.66020511
   1.66020511  1.66020511  1.66020511 -0.50372002]
 [ 0.57825324  0.57825324  0.57825324  0.57825324  0.57825324  0.57825324
   0.57825324  0.57825324  0.57825324  0.57825324]]
warst p star:  -0.2364088981383368 p:  [0.0247792  0.02438625 0.05511144 0.10706373 0.14080568 0.07659774
 0.09892844 0.12479659 0.15546543 0.19206551]
variance: 0.23640889759325523
--------------------------------------------------------------------
pi_l = 6 pi_t =  10
total problem result (min of alpha^2 + mu): 0.21767932751408905
alpha: 0.5949959607502956
mu: -0.1363408659189523
F: [[ 1.09505681  0.09505681  0.09505681  0.09505681  0.09505681  0.09505681
   0.09505681  0.09505681  0.09505681  0.09505681]
 [ 0.92110631  0.92110631  0.2689324   0.2689324   0.2689324   0.2689324
   0.2689324   0.2689324   0.2689324   0.2689324 ]
 [ 0.89988875  0.89988875  0.89988875  0.29013266  0.29013266  0.29013266
   0.29013266  0.29013266  0.29013266  0.29013266]
 [ 0.89161603  0.89161603  0.89161603  0.89161603  0.29839569  0.29839569
   0.29839569  0.29839569  0.29839569  0.29839569]
 [ 0.88721024  0.88721024  0.88721024  0.88721024  0.88721024  0.30279465
   0.30279465  0.30279465  0.30279465  0.30279465]
 [ 0.8844734   0.8844734   0.8844734   0.8844734   0.8844734   0.8844734
   0.30552603  0.30552603  0.30552603  0.30552603]
 [ 1.0170756   1.0170756   1.0170756   1.0170756   1.0170756   1.0170756
   1.0170756   0.17291976  0.17291976  0.17291976]
 [ 1.23058658  1.23058658  1.23058658  1.23058658  1.23058658  1.23058658
   1.23058658  1.23058658 -0.04059987 -0.04059987]
 [ 1.63156033  1.63156033  1.63156033  1.63156033  1.63156033  1.63156033
   1.63156033  1.63156033  1.63156033 -0.4416104 ]
 [ 0.59499661  0.59499661  0.59499661  0.59499661  0.59499661  0.59499661
   0.59499661  0.59499661  0.59499661  0.59499661]]
warst p star:  -0.21767450299749186 p:  [0.02326751 0.02169513 0.0535955  0.10736051 0.13780533 0.07791982
 0.1097394  0.12971772 0.15367945 0.18521962]
variance: 0.21767450243193714
--------------------------------------------------------------------
pi_l = 7 pi_t =  0
total problem result (min of alpha^2 + mu): 0.47357741841174467
alpha: 0.5500057091071848
mu: 0.17107113831810847
F: [[ 5.55004658e+00 -4.44995342e+00 -4.44995342e+00 -4.44995342e+00
  -4.44995342e+00 -4.44995342e+00 -4.44995342e+00 -4.44995342e+00
  -4.44995342e+00 -4.44995342e+00]
 [ 1.89147338e+00  1.89147338e+00 -7.91453449e-01 -7.91453449e-01
  -7.91453449e-01 -7.91453449e-01 -7.91453449e-01 -7.91453449e-01
  -7.91453449e-01 -7.91453449e-01]
 [ 1.32465247e+00  1.32465247e+00  1.32465247e+00 -2.24643307e-01
  -2.24643307e-01 -2.24643307e-01 -2.24643307e-01 -2.24643307e-01
  -2.24643307e-01 -2.24643307e-01]
 [ 1.09455680e+00  1.09455680e+00  1.09455680e+00  1.09455680e+00
   5.44788642e-03  5.44788642e-03  5.44788642e-03  5.44788642e-03
   5.44788642e-03  5.44788642e-03]
 [ 9.69848343e-01  9.69848343e-01  9.69848343e-01  9.69848343e-01
   9.69848343e-01  1.30153686e-01  1.30153686e-01  1.30153686e-01
   1.30153686e-01  1.30153686e-01]
 [ 8.91614933e-01  8.91614933e-01  8.91614933e-01  8.91614933e-01
   8.91614933e-01  8.91614933e-01  2.08385119e-01  2.08385119e-01
   2.08385119e-01  2.08385119e-01]
 [ 8.37957250e-01  8.37957250e-01  8.37957250e-01  8.37957250e-01
   8.37957250e-01  8.37957250e-01  8.37957250e-01  2.62041019e-01
   2.62041019e-01  2.62041019e-01]
 [ 8.91611446e-01  8.91611446e-01  8.91611446e-01  8.91611446e-01
   8.91611446e-01  8.91611446e-01  8.91611446e-01  8.91611446e-01
   2.08381632e-01  2.08381632e-01]
 [ 9.69838535e-01  9.69838535e-01  9.69838535e-01  9.69838535e-01
   9.69838535e-01  9.69838535e-01  9.69838535e-01  9.69838535e-01
   9.69838535e-01  1.30143879e-01]
 [ 5.50002521e-01  5.50002521e-01  5.50002521e-01  5.50002521e-01
   5.50002521e-01  5.50002521e-01  5.50002521e-01  5.50002521e-01
   5.50002521e-01  5.50002521e-01]]
warst p star:  -0.4735724576600796 p:  [0.14866033 0.04197365 0.09934681 0.15733709 0.08625093 0.0585166
 0.07508283 0.0927695  0.11074569 0.12931657]
variance: 0.47357245725177954
--------------------------------------------------------------------
pi_l = 7 pi_t =  1
total problem result (min of alpha^2 + mu): 1.2819548667532426
alpha: 0.5050720405497771
mu: 1.0268571036238865
F: [[10.00534973 -8.99465028 -8.99465028 -8.99465028 -8.99465028 -8.99465028
  -8.99465028 -8.99465028 -8.99465028 -8.99465028]
 [ 2.78553455  2.78553455 -1.77544106 -1.77544106 -1.77544106 -1.77544106
  -1.77544106 -1.77544106 -1.77544106 -1.77544106]
 [ 1.6669835   1.6669835   1.6669835  -0.65696016 -0.65696016 -0.65696016
  -0.65696016 -0.65696016 -0.65696016 -0.65696016]
 [ 1.2129218   1.2129218   1.2129218   1.2129218  -0.20291978 -0.20291978
  -0.20291978 -0.20291978 -0.20291978 -0.20291978]
 [ 0.96682923  0.96682923  0.96682923  0.96682923  0.96682923  0.04316511
   0.04316511  0.04316511  0.04316511  0.04316511]
 [ 0.81244981  0.81244981  0.81244981  0.81244981  0.81244981  0.81244981
   0.19754298  0.19754298  0.19754298  0.19754298]
 [ 0.70656869  0.70656869  0.70656869  0.70656869  0.70656869  0.70656869
   0.70656869  0.30342733  0.30342733  0.30342733]
 [ 0.67577211  0.67577211  0.67577211  0.67577211  0.67577211  0.67577211
   0.67577211  0.67577211  0.3341572   0.3341572 ]
 [ 0.63087369  0.63087369  0.63087369  0.63087369  0.63087369  0.63087369
   0.63087369  0.63087369  0.63087369  0.37896529]
 [ 0.50510769  0.50510769  0.50510769  0.50510769  0.50510769  0.50510769
   0.50510769  0.50510769  0.50510769  0.50510769]]
warst p star:  -1.2819540227620672 p:  [4.97369323e-01 1.44059549e-05 1.31553373e-05 1.20518538e-05
 1.10954970e-05 1.02862801e-05 9.83407179e-06 1.05214194e-05
 8.81589623e-02 4.14390356e-01]
variance: 1.2819540302136805
--------------------------------------------------------------------
pi_l = 7 pi_t =  2
total problem result (min of alpha^2 + mu): 1.0253387162957948
alpha: 0.5050040212300541
mu: 0.7703096546250203
F: [[ 8.33060313 -7.32055966 -7.32055966 -7.32055966 -7.32055966 -7.32055966
  -7.32055966 -7.32055966 -7.32055966 -7.32055966]
 [ 2.88532119  2.88532119 -1.87531409 -1.87531409 -1.87531409 -1.87531409
  -1.87531409 -1.87531409 -1.87531409 -1.87531409]
 [ 1.71741497  1.71741497  1.71741497 -0.70741307 -0.70741307 -0.70741307
  -0.70741307 -0.70741307 -0.70741307 -0.70741307]
 [ 1.24331469  1.24331469  1.24331469  1.24331469 -0.23331437 -0.23331437
  -0.23331437 -0.23331437 -0.23331437 -0.23331437]
 [ 0.98635972  0.98635972  0.98635972  0.98635972  0.98635972  0.02364003
   0.02364003  0.02364003  0.02364003  0.02364003]
 [ 0.82516447  0.82516447  0.82516447  0.82516447  0.82516447  0.82516447
   0.18483514  0.18483514  0.18483514  0.18483514]
 [ 0.71460658  0.71460658  0.71460658  0.71460658  0.71460658  0.71460658
   0.71460658  0.29539313  0.29539313  0.29539313]
 [ 0.68216087  0.68216087  0.68216087  0.68216087  0.68216087  0.68216087
   0.68216087  0.68216087  0.32783471  0.32783471]
 [ 0.63485481  0.63485481  0.63485481  0.63485481  0.63485481  0.63485481
   0.63485481  0.63485481  0.63485481  0.3751353 ]
 [ 0.50500604  0.50500604  0.50500604  0.50500604  0.50500604  0.50500604
   0.50500604  0.50500604  0.50500604  0.50500604]]
warst p star:  -1.0253366320027986 p:  [0.24948434 0.11086865 0.09330458 0.09000359 0.03883124 0.05468533
 0.07319955 0.08757596 0.09790738 0.10413936]
variance: 1.025336631764772
--------------------------------------------------------------------
pi_l = 7 pi_t =  3
total problem result (min of alpha^2 + mu): 0.7824533513956929
alpha: 0.505005104628681
mu: 0.5274232025589345
F: [[ 6.77426257 -5.76419896 -5.76419896 -5.76419896 -5.76419896 -5.76419896
  -5.76419896 -5.76419896 -5.76419896 -5.76419896]
 [ 2.49656421  2.49656421 -1.48655024 -1.48655024 -1.48655024 -1.48655024
  -1.48655024 -1.48655024 -1.48655024 -1.48655024]
 [ 1.83382084  1.83382084  1.83382084 -0.8238173  -0.8238173  -0.8238173
  -0.8238173  -0.8238173  -0.8238173  -0.8238173 ]
 [ 1.3134542   1.3134542   1.3134542   1.3134542  -0.30345364 -0.30345364
  -0.30345364 -0.30345364 -0.30345364 -0.30345364]
 [ 1.03142367  1.03142367  1.03142367  1.03142367  1.03142367 -0.02142424
  -0.02142424 -0.02142424 -0.02142424 -0.02142424]
 [ 0.85449785  0.85449785  0.85449785  0.85449785  0.85449785  0.85449785
   0.1555012   0.1555012   0.1555012   0.1555012 ]
 [ 0.73315098  0.73315098  0.73315098  0.73315098  0.73315098  0.73315098
   0.73315098  0.27684812  0.27684812  0.27684812]
 [ 0.69682697  0.69682697  0.69682697  0.69682697  0.69682697  0.69682697
   0.69682697  0.69682697  0.31316715  0.31316715]
 [ 0.64386599  0.64386599  0.64386599  0.64386599  0.64386599  0.64386599
   0.64386599  0.64386599  0.64386599  0.36612084]
 [ 0.50500738  0.50500738  0.50500738  0.50500738  0.50500738  0.50500738
   0.50500738  0.50500738  0.50500738  0.50500738]]
warst p star:  -0.7824504232824916 p:  [0.22678124 0.11395527 0.0826886  0.11143231 0.0361266  0.05118649
 0.0734775  0.0907383  0.10310632 0.11050738]
variance: 0.7824504230130211
--------------------------------------------------------------------
pi_l = 7 pi_t =  4
total problem result (min of alpha^2 + mu): 0.562322370248972
alpha: 0.5050033139591107
mu: 0.3072940231101697
F: [[ 5.09593544 -4.08588274 -4.08588274 -4.08588274 -4.08588274 -4.08588274
  -4.08588274 -4.08588274 -4.08588274 -4.08588274]
 [ 2.10256793  2.10256793 -1.09255402 -1.09255402 -1.09255402 -1.09255402
  -1.09255402 -1.09255402 -1.09255402 -1.09255402]
 [ 1.63880583  1.63880583  1.63880583 -0.6287998  -0.6287998  -0.6287998
  -0.6287998  -0.6287998  -0.6287998  -0.6287998 ]
 [ 1.45054513  1.45054513  1.45054513  1.45054513 -0.44054398 -0.44054398
  -0.44054398 -0.44054398 -0.44054398 -0.44054398]
 [ 1.11950352  1.11950352  1.11950352  1.11950352  1.11950352 -0.10950411
  -0.10950411 -0.10950411 -0.10950411 -0.10950411]
 [ 0.91183162  0.91183162  0.91183162  0.91183162  0.91183162  0.91183162
   0.09816703  0.09816703  0.09816703  0.09816703]
 [ 0.76939711  0.76939711  0.76939711  0.76939711  0.76939711  0.76939711
   0.76939711  0.2406013   0.2406013   0.2406013 ]
 [ 0.72549455  0.72549455  0.72549455  0.72549455  0.72549455  0.72549455
   0.72549455  0.72549455  0.28450076  0.28450076]
 [ 0.66148419  0.66148419  0.66148419  0.66148419  0.66148419  0.66148419
   0.66148419  0.66148419  0.66148419  0.34850709]
 [ 0.50500395  0.50500395  0.50500395  0.50500395  0.50500395  0.50500395
   0.50500395  0.50500395  0.50500395  0.50500395]]
warst p star:  -0.5623202615428609 p:  [0.20027491 0.11612119 0.06316929 0.12745152 0.04012613 0.05067981
 0.07422677 0.09602624 0.11146294 0.1204612 ]
variance: 0.562320261233477
--------------------------------------------------------------------
pi_l = 7 pi_t =  5
total problem result (min of alpha^2 + mu): 0.36877011357474465
alpha: 0.5050030878046605
mu: 0.11374199486353594
F: [[ 2.80503939 -1.79496061 -1.79496061 -1.79496061 -1.79496061 -1.79496061
  -1.79496061 -1.79496061 -1.79496061 -1.79496061]
 [ 1.60501272  1.60501272 -0.59498728 -0.59498728 -0.59498728 -0.59498728
  -0.59498728 -0.59498728 -0.59498728 -0.59498728]
 [ 1.41909136  1.41909136  1.41909136 -0.40907765 -0.40907765 -0.40907765
  -0.40907765 -0.40907765 -0.40907765 -0.40907765]
 [ 1.34361705  1.34361705  1.34361705  1.34361705 -0.33361067 -0.33361067
  -0.33361067 -0.33361067 -0.33361067 -0.33361067]
 [ 1.30270991  1.30270991  1.30270991  1.30270991  1.30270991 -0.29270994
  -0.29270994 -0.29270994 -0.29270994 -0.29270994]
 [ 1.03108558  1.03108558  1.03108558  1.03108558  1.03108558  1.03108558
  -0.02108833 -0.02108833 -0.02108833 -0.02108833]
 [ 0.84478859  0.84478859  0.84478859  0.84478859  0.84478859  0.84478859
   0.84478859  0.16520744  0.16520744  0.16520744]
 [ 0.78512008  0.78512008  0.78512008  0.78512008  0.78512008  0.78512008
   0.78512008  0.78512008  0.22487163  0.22487163]
 [ 0.69812303  0.69812303  0.69812303  0.69812303  0.69812303  0.69812303
   0.69812303  0.69812303  0.69812303  0.31186349]
 [ 0.50500385  0.50500385  0.50500385  0.50500385  0.50500385  0.50500385
   0.50500385  0.50500385  0.50500385  0.50500385]]
warst p star:  -0.3687675546456446 p:  [0.15797952 0.11338156 0.05018353 0.1050961  0.09341772 0.04679946
 0.0712383  0.10208477 0.12375331 0.13606572]
variance: 0.36876755428013386
--------------------------------------------------------------------
pi_l = 7 pi_t =  6
total problem result (min of alpha^2 + mu): 0.2641397834719065
alpha: 0.5230015204195438
mu: -0.009390806887104357
F: [[ 1.02304868  0.02304868  0.02304868  0.02304868  0.02304868  0.02304868
   0.02304868  0.02304868  0.02304868  0.02304868]
 [ 1.14009846  1.14009846 -0.09404788 -0.09404788 -0.09404788 -0.09404788
  -0.09404788 -0.09404788 -0.09404788 -0.09404788]
 [ 1.15822619  1.15822619  1.15822619 -0.11219635 -0.11219635 -0.11219635
  -0.11219635 -0.11219635 -0.11219635 -0.11219635]
 [ 1.16558274  1.16558274  1.16558274  1.16558274 -0.11956578 -0.11956578
  -0.11956578 -0.11956578 -0.11956578 -0.11956578]
 [ 1.16956834  1.16956834  1.16956834  1.16956834  1.16956834 -0.12356144
  -0.12356144 -0.12356144 -0.12356144 -0.12356144]
 [ 1.17206709  1.17206709  1.17206709  1.17206709  1.17206709  1.17206709
  -0.12606956 -0.12606956 -0.12606956 -0.12606956]
 [ 0.96645144  0.96645144  0.96645144  0.96645144  0.96645144  0.96645144
   0.96645144  0.07954045  0.07954045  0.07954045]
 [ 0.9260975   0.9260975   0.9260975   0.9260975   0.9260975   0.9260975
   0.9260975   0.9260975   0.11988632  0.11988632]
 [ 0.86726088  0.86726088  0.86726088  0.86726088  0.86726088  0.86726088
   0.86726088  0.86726088  0.86726088  0.17871126]
 [ 0.52300158  0.52300158  0.52300158  0.52300158  0.52300158  0.52300158
   0.52300158  0.52300158  0.52300158  0.52300158]]
warst p star:  -0.26413640331407773 p:  [0.09923345 0.08767605 0.04939077 0.09801603 0.13279585 0.03919583
 0.07622919 0.11300466 0.14186126 0.16259691]
variance: 0.2641364028670208
--------------------------------------------------------------------
pi_l = 7 pi_t =  7
total problem result (min of alpha^2 + mu): 0.22704545441382581
alpha: 0.545909050234741
mu: -0.07097123648705747
F: [[1.04595073 0.04595073 0.04595073 0.04595073 0.04595073 0.04595073
  0.04595073 0.04595073 0.04595073 0.04595073]
 [1.0459288  1.0459288  0.0459288  0.0459288  0.0459288  0.0459288
  0.0459288  0.0459288  0.0459288  0.0459288 ]
 [1.04592088 1.04592088 1.04592088 0.04592088 0.04592088 0.04592088
  0.04592088 0.04592088 0.04592088 0.04592088]
 [1.04591611 1.04591611 1.04591611 1.04591611 0.04591611 0.04591611
  0.04591611 0.04591611 0.04591611 0.04591611]
 [1.04591255 1.04591255 1.04591255 1.04591255 1.04591255 0.04591255
  0.04591255 0.04591255 0.04591255 0.04591255]
 [1.04590949 1.04590949 1.04590949 1.04590949 1.04590949 1.04590949
  0.04590949 0.04590949 0.04590949 0.04590949]
 [1.04590651 1.04590651 1.04590651 1.04590651 1.04590651 1.04590651
  1.04590651 0.04590651 0.04590651 0.04590651]
 [1.04590306 1.04590306 1.04590306 1.04590306 1.04590306 1.04590306
  1.04590306 1.04590306 0.04590306 0.04590306]
 [1.04589454 1.04589454 1.04589454 1.04589454 1.04589454 1.04589454
  1.04589454 1.04589454 1.04589454 0.04589454]
 [0.54590949 0.54590949 0.54590949 0.54590949 0.54590949 0.54590949
  0.54590949 0.54590949 0.54590949 0.54590949]]
warst p star:  -0.22704215491341742 p:  [0.0653657  0.05192402 0.05264892 0.10152463 0.13874739 0.06364329
 0.08568615 0.11917209 0.14812929 0.17315852]
variance: 0.22704215441197417
--------------------------------------------------------------------
pi_l = 7 pi_t =  8
total problem result (min of alpha^2 + mu): 0.21623343734690564
alpha: 0.5626912226507147
mu: -0.10038797628597522
F: [[ 1.06274607  0.06274607  0.06274607  0.06274607  0.06274607  0.06274607
   0.06274607  0.06274607  0.06274607  0.06274607]
 [ 1.00643108  1.00643108  0.11900144  0.11900144  0.11900144  0.11900144
   0.11900144  0.11900144  0.11900144  0.11900144]
 [ 0.99770113  0.99770113  0.99770113  0.12771196  0.12771196  0.12771196
   0.12771196  0.12771196  0.12771196  0.12771196]
 [ 0.99415547  0.99415547  0.99415547  0.99415547  0.1312461   0.1312461
   0.1312461   0.1312461   0.1312461   0.1312461 ]
 [ 0.99223266  0.99223266  0.99223266  0.99223266  0.99223266  0.13316044
   0.13316044  0.13316044  0.13316044  0.13316044]
 [ 0.99102554  0.99102554  0.99102554  0.99102554  0.99102554  0.99102554
   0.13436047  0.13436047  0.13436047  0.13436047]
 [ 0.99019673  0.99019673  0.99019673  0.99019673  0.99019673  0.99019673
   0.99019673  0.13518263  0.13518263  0.13518263]
 [ 1.14868519  1.14868519  1.14868519  1.14868519  1.14868519  1.14868519
   1.14868519  1.14868519 -0.02331672 -0.02331672]
 [ 1.18598729  1.18598729  1.18598729  1.18598729  1.18598729  1.18598729
   1.18598729  1.18598729  1.18598729 -0.06063631]
 [ 0.56269128  0.56269128  0.56269128  0.56269128  0.56269128  0.56269128
   0.56269128  0.56269128  0.56269128  0.56269128]]
warst p star:  -0.21622909413638633 p:  [0.03145811 0.03061412 0.0590914  0.10821218 0.14519213 0.07594312
 0.09178454 0.11977172 0.15345492 0.18447777]
variance: 0.21622909360448223
--------------------------------------------------------------------
pi_l = 7 pi_t =  9
total problem result (min of alpha^2 + mu): 0.20905500428354762
alpha: 0.5782541386037222
mu: -0.12532284457013218
F: [[ 1.07830208  0.07830208  0.07830208  0.07830208  0.07830208  0.07830208
   0.07830208  0.07830208  0.07830208  0.07830208]
 [ 0.99319345  0.99319345  0.16335794  0.16335794  0.16335794  0.16335794
   0.16335794  0.16335794  0.16335794  0.16335794]
 [ 0.98000361  0.98000361  0.98000361  0.17653162  0.17653162  0.17653162
   0.17653162  0.17653162  0.17653162  0.17653162]
 [ 0.97464789  0.97464789  0.97464789  0.97464789  0.18187791  0.18187791
   0.18187791  0.18187791  0.18187791  0.18187791]
 [ 0.97174431  0.97174431  0.97174431  0.97174431  0.97174431  0.18477467
   0.18477467  0.18477467  0.18477467  0.18477467]
 [ 0.96992216  0.96992216  0.96992216  0.96992216  0.96992216  0.96992216
   0.18659123  0.18659123  0.18659123  0.18659123]
 [ 0.96867181  0.96867181  0.96867181  0.96867181  0.96867181  0.96867181
   0.96867181  0.18783655  0.18783655  0.18783655]
 [ 1.11291763  1.11291763  1.11291763  1.11291763  1.11291763  1.11291763
   1.11291763  1.11291763  0.04358352  0.04358352]
 [ 1.32322369  1.32322369  1.32322369  1.32322369  1.32322369  1.32322369
   1.32322369  1.32322369  1.32322369 -0.16674613]
 [ 0.57825468  0.57825468  0.57825468  0.57825468  0.57825468  0.57825468
   0.57825468  0.57825468  0.57825468  0.57825468]]
warst p star:  -0.20905099629244195 p:  [0.02542947 0.02441224 0.05501102 0.10690776 0.14081367 0.0767226
 0.09844774 0.12434601 0.15505041 0.19285908]
variance: 0.20905099574206826
--------------------------------------------------------------------
pi_l = 7 pi_t =  10
total problem result (min of alpha^2 + mu): 0.19266486320216886
alpha: 0.5949982621992345
mu: -0.1613580684164118
F: [[ 1.09505014  0.09505014  0.09505014  0.09505014  0.09505014  0.09505014
   0.09505014  0.09505014  0.09505014  0.09505014]
 [ 0.99746027  0.99746027  0.19258222  0.19258222  0.19258222  0.19258222
   0.19258222  0.19258222  0.19258222  0.19258222]
 [ 0.98233654  0.98233654  0.98233654  0.20768866  0.20768866  0.20768866
   0.20768866  0.20768866  0.20768866  0.20768866]
 [ 0.97619568  0.97619568  0.97619568  0.97619568  0.21381945  0.21381945
   0.21381945  0.21381945  0.21381945  0.21381945]
 [ 0.97286652  0.97286652  0.97286652  0.97286652  0.97286652  0.21714132
   0.21714132  0.21714132  0.21714132  0.21714132]
 [ 0.97077733  0.97077733  0.97077733  0.97077733  0.97077733  0.97077733
   0.21922453  0.21922453  0.21922453  0.21922453]
 [ 0.96934378  0.96934378  0.96934378  0.96934378  0.96934378  0.96934378
   0.96934378  0.22065268  0.22065268  0.22065268]
 [ 1.1074167   1.1074167   1.1074167   1.1074167   1.1074167   1.1074167
   1.1074167   1.1074167   0.08257198  0.08257198]
 [ 1.30872233  1.30872233  1.30872233  1.30872233  1.30872233  1.30872233
   1.30872233  1.30872233  1.30872233 -0.11875859]
 [ 0.59499881  0.59499881  0.59499881  0.59499881  0.59499881  0.59499881
   0.59499881  0.59499881  0.59499881  0.59499881]]
warst p star:  -0.19266062590759556 p:  [0.02334252 0.02125123 0.05325095 0.10719574 0.13801769 0.07845521
 0.1098894  0.13003309 0.15411408 0.18445009]
variance: 0.19266062533695372
--------------------------------------------------------------------
pi_l = 8 pi_t =  0
total problem result (min of alpha^2 + mu): 0.49428283108134746
alpha: 0.5500042975052101
mu: 0.1917781039026799
F: [[ 5.5500329  -4.4499671  -4.4499671  -4.4499671  -4.4499671  -4.4499671
  -4.4499671  -4.4499671  -4.4499671  -4.4499671 ]
 [ 2.06163821  2.06163821 -0.96161761 -0.96161761 -0.96161761 -0.96161761
  -0.96161761 -0.96161761 -0.96161761 -0.96161761]
 [ 1.44041557  1.44041557  1.44041557 -0.34040634 -0.34040634 -0.34040634
  -0.34040634 -0.34040634 -0.34040634 -0.34040634]
 [ 1.18107022  1.18107022  1.18107022  1.18107022 -0.08106571 -0.08106571
  -0.08106571 -0.08106571 -0.08106571 -0.08106571]
 [ 1.03872263  1.03872263  1.03872263  1.03872263  1.03872263  0.06127902
   0.06127902  0.06127902  0.06127902  0.06127902]
 [ 0.94877272  0.94877272  0.94877272  0.94877272  0.94877272  0.94877272
   0.15122671  0.15122671  0.15122671  0.15122671]
 [ 0.8867862   0.8867862   0.8867862   0.8867862   0.8867862   0.8867862
   0.8867862   0.21321107  0.21321107  0.21321107]
 [ 0.84147717  0.84147717  0.84147717  0.84147717  0.84147717  0.84147717
   0.84147717  0.84147717  0.25851753  0.25851753]
 [ 0.88677965  0.88677965  0.88677965  0.88677965  0.88677965  0.88677965
   0.88677965  0.88677965  0.88677965  0.21320452]
 [ 0.55000539  0.55000539  0.55000539  0.55000539  0.55000539  0.55000539
   0.55000539  0.55000539  0.55000539  0.55000539]]
warst p star:  -0.494278888316337 p:  [0.14791616 0.04258071 0.09963357 0.15732745 0.08611622 0.05846291
 0.07525711 0.09291239 0.11070967 0.12908381]
variance: 0.49427888791106234
--------------------------------------------------------------------
pi_l = 8 pi_t =  1
total problem result (min of alpha^2 + mu): 1.3335550297327055
alpha: 0.5051348032628724
mu: 1.07839387211957
F: [[10.00569833 -8.99430167 -8.99430167 -8.99430167 -8.99430167 -8.99430167
  -8.99430167 -8.99430167 -8.99430167 -8.99430167]
 [ 3.07485826  3.07485826 -2.06467662 -2.06467662 -2.06467662 -2.06467662
  -2.06467662 -2.06467662 -2.06467662 -2.06467662]
 [ 1.84062593  1.84062593  1.84062593 -0.83060695 -0.83060695 -0.83060695
  -0.83060695 -0.83060695 -0.83060695 -0.83060695]
 [ 1.32537119  1.32537119  1.32537119  1.32537119 -0.31540551 -0.31540551
  -0.31540551 -0.31540551 -0.31540551 -0.31540551]
 [ 1.0425654   1.0425654   1.0425654   1.0425654   1.0425654  -0.03262257
  -0.03262257 -0.03262257 -0.03262257 -0.03262257]
 [ 0.86386173  0.86386173  0.86386173  0.86386173  0.86386173  0.86386173
   0.14607031  0.14607031  0.14607031  0.14607031]
 [ 0.74071491  0.74071491  0.74071491  0.74071491  0.74071491  0.74071491
   0.74071491  0.26921232  0.26921232  0.26921232]
 [ 0.65070313  0.65070313  0.65070313  0.65070313  0.65070313  0.65070313
   0.65070313  0.65070313  0.35922331  0.35922331]
 [ 0.60592784  0.60592784  0.60592784  0.60592784  0.60592784  0.60592784
   0.60592784  0.60592784  0.60592784  0.4038553 ]
 [ 0.50520603  0.50520603  0.50520603  0.50520603  0.50520603  0.50520603
   0.50520603  0.50520603  0.50520603  0.50520603]]
warst p star:  -1.3335550526914386 p:  [ 5.00136183e-01 -1.17405503e-22 -8.86470615e-23 -2.40963935e-23
  7.62532775e-23 -9.63587709e-24 -5.97260287e-23 -7.40104011e-23
 -5.24932294e-23  4.99863817e-01]
variance: 1.3335550526914386
--------------------------------------------------------------------
pi_l = 8 pi_t =  2
total problem result (min of alpha^2 + mu): 1.0815167597494109
alpha: 0.5050091554027121
mu: 0.8264825129194634
F: [[ 8.3306303  -7.32053248 -7.32053248 -7.32053248 -7.32053248 -7.32053248
  -7.32053248 -7.32053248 -7.32053248 -7.32053248]
 [ 3.18727041  3.18727041 -2.17725095 -2.17725095 -2.17725095 -2.17725095
  -2.17725095 -2.17725095 -2.17725095 -2.17725095]
 [ 1.89859935  1.89859935  1.89859935 -0.88859402 -0.88859402 -0.88859402
  -0.88859402 -0.88859402 -0.88859402 -0.88859402]
 [ 1.36061088  1.36061088  1.36061088  1.36061088 -0.35061061 -0.35061061
  -0.35061061 -0.35061061 -0.35061061 -0.35061061]
 [ 1.06532418  1.06532418  1.06532418  1.06532418  1.06532418 -0.05532629
  -0.05532629 -0.05532629 -0.05532629 -0.05532629]
 [ 0.87873209  0.87873209  0.87873209  0.87873209  0.87873209  0.87873209
   0.13126454  0.13126454  0.13126454  0.13126454]
 [ 0.75014803  0.75014803  0.75014803  0.75014803  0.75014803  0.75014803
   0.75014803  0.259848    0.259848    0.259848  ]
 [ 0.65616056  0.65616056  0.65616056  0.65616056  0.65616056  0.65616056
   0.65616056  0.65616056  0.35383498  0.35383498]
 [ 0.60916473  0.60916473  0.60916473  0.60916473  0.60916473  0.60916473
   0.60916473  0.60916473  0.60916473  0.40082638]
 [ 0.50500546  0.50500546  0.50500546  0.50500546  0.50500546  0.50500546
   0.50500546  0.50500546  0.50500546  0.50500546]]
warst p star:  -1.081512093527458 p:  [0.25202177 0.11054339 0.09136084 0.08784385 0.0385595  0.05506332
 0.07362796 0.08806435 0.09835979 0.10455524]
variance: 1.0815120932936626
--------------------------------------------------------------------
pi_l = 8 pi_t =  3
total problem result (min of alpha^2 + mu): 0.8364652713080327
alpha: 0.5050066005339454
mu: 0.5814336036490417
F: [[ 6.77426999 -5.76419155 -5.76419155 -5.76419155 -5.76419155 -5.76419155
  -5.76419155 -5.76419155 -5.76419155 -5.76419155]
 [ 2.74919571  2.74919571 -1.73917638 -1.73917638 -1.73917638 -1.73917638
  -1.73917638 -1.73917638 -1.73917638 -1.73917638]
 [ 2.03240083  2.03240083  2.03240083 -1.02239369 -1.02239369 -1.02239369
  -1.02239369 -1.02239369 -1.02239369 -1.02239369]
 [ 1.44189399  1.44189399  1.44189399  1.44189399 -0.43189242 -0.43189242
  -0.43189242 -0.43189242 -0.43189242 -0.43189242]
 [ 1.11778144  1.11778144  1.11778144  1.11778144  1.11778144 -0.10778247
  -0.10778247 -0.10778247 -0.10778247 -0.10778247]
 [ 0.91297424  0.91297424  0.91297424  0.91297424  0.91297424  0.91297424
   0.09702332  0.09702332  0.09702332  0.09702332]
 [ 0.77183774  0.77183774  0.77183774  0.77183774  0.77183774  0.77183774
   0.77183774  0.23815898  0.23815898  0.23815898]
 [ 0.66867513  0.66867513  0.66867513  0.66867513  0.66867513  0.66867513
   0.66867513  0.66867513  0.34132087  0.34132087]
 [ 0.61639473  0.61639473  0.61639473  0.61639473  0.61639473  0.61639473
   0.61639473  0.61639473  0.61639473  0.39359681]
 [ 0.50500355  0.50500355  0.50500355  0.50500355  0.50500355  0.50500355
   0.50500355  0.50500355  0.50500355  0.50500355]]
warst p star:  -0.8364618038013418 p:  [0.227667   0.11442124 0.08174122 0.10987874 0.03619643 0.05168915
 0.073819   0.09098842 0.10317575 0.11042304]
variance: 0.8364618035368583
--------------------------------------------------------------------
pi_l = 8 pi_t =  4
total problem result (min of alpha^2 + mu): 0.6116980993563845
alpha: 0.5050067542346285
mu: 0.3566662776211097
F: [[ 5.09595964 -4.08585854 -4.08585854 -4.08585854 -4.08585854 -4.08585854
  -4.08585854 -4.08585854 -4.08585854 -4.08585854]
 [ 2.30522498  2.30522498 -1.29519785 -1.29519785 -1.29519785 -1.29519785
  -1.29519785 -1.29519785 -1.29519785 -1.29519785]
 [ 1.80824416  1.80824416  1.80824416 -0.79823156 -0.79823156 -0.79823156
  -0.79823156 -0.79823156 -0.79823156 -0.79823156]
 [ 1.60076553  1.60076553  1.60076553  1.60076553 -0.59076139 -0.59076139
  -0.59076139 -0.59076139 -0.59076139 -0.59076139]
 [ 1.22031064  1.22031064  1.22031064  1.22031064  1.22031064 -0.21031137
  -0.21031137 -0.21031137 -0.21031137 -0.21031137]
 [ 0.97990073  0.97990073  0.97990073  0.97990073  0.97990073  0.97990073
   0.03009594  0.03009594  0.03009594  0.03009594]
 [ 0.8142298   0.8142298   0.8142298   0.8142298   0.8142298   0.8142298
   0.8142298   0.19576536  0.19576536  0.19576536]
 [ 0.69313409  0.69313409  0.69313409  0.69313409  0.69313409  0.69313409
   0.69313409  0.69313409  0.31686014  0.31686014]
 [ 0.63052459  0.63052459  0.63052459  0.63052459  0.63052459  0.63052459
   0.63052459  0.63052459  0.63052459  0.37946477]
 [ 0.50500333  0.50500333  0.50500333  0.50500333  0.50500333  0.50500333
   0.50500333  0.50500333  0.50500333  0.50500333]]
warst p star:  -0.6116941753600722 p:  [0.20273961 0.11650559 0.06180065 0.12578908 0.03851685 0.05040291
 0.07466597 0.0965699  0.11200044 0.12100899]
variance: 0.6116941750564087
--------------------------------------------------------------------
pi_l = 8 pi_t =  5
total problem result (min of alpha^2 + mu): 0.41285408327616585
alpha: 0.5050031709495424
mu: 0.15782588002287945
F: [[ 2.80503891 -1.79496109 -1.79496109 -1.79496109 -1.79496109 -1.79496109
  -1.79496109 -1.79496109 -1.79496109 -1.79496109]
 [ 1.74454886  1.74454886 -0.73452091 -0.73452091 -0.73452091 -0.73452091
  -0.73452091 -0.73452091 -0.73452091 -0.73452091]
 [ 1.55569239  1.55569239  1.55569239 -0.54567748 -0.54567748 -0.54567748
  -0.54567748 -0.54567748 -0.54567748 -0.54567748]
 [ 1.476848    1.476848    1.476848    1.476848   -0.46684132 -0.46684132
  -0.46684132 -0.46684132 -0.46684132 -0.46684132]
 [ 1.43357114  1.43357114  1.43357114  1.43357114  1.43357114 -0.42357172
  -0.42357172 -0.42357172 -0.42357172 -0.42357172]
 [ 1.11910851  1.11910851  1.11910851  1.11910851  1.11910851  1.11910851
  -0.10911234 -0.10911234 -0.10911234 -0.10911234]
 [ 0.90240655  0.90240655  0.90240655  0.90240655  0.90240655  0.90240655
   0.90240655  0.1075879   0.1075879   0.1075879 ]
 [ 0.74401025  0.74401025  0.74401025  0.74401025  0.74401025  0.74401025
   0.74401025  0.74401025  0.26598334  0.26598334]
 [ 0.65991688  0.65991688  0.65991688  0.65991688  0.65991688  0.65991688
   0.65991688  0.65991688  0.65991688  0.35007232]
 [ 0.50500399  0.50500399  0.50500399  0.50500399  0.50500399  0.50500399
   0.50500399  0.50500399  0.50500399  0.50500399]]
warst p star:  -0.412851514350528 p:  [0.15847415 0.11409488 0.04990137 0.10458497 0.09254358 0.04619862
 0.07187407 0.10251736 0.12385637 0.13595463]
variance: 0.4128515139914607
--------------------------------------------------------------------
pi_l = 8 pi_t =  6
total problem result (min of alpha^2 + mu): 0.29384664290913715
alpha: 0.5230013003527875
mu: 0.020316282699449285
F: [[ 1.02302986  0.02302986  0.02302986  0.02302986  0.02302986  0.02302986
   0.02302986  0.02302986  0.02302986  0.02302986]
 [ 1.21836541  1.21836541 -0.17233226 -0.17233226 -0.17233226 -0.17233226
  -0.17233226 -0.17233226 -0.17233226 -0.17233226]
 [ 1.2531469   1.2531469   1.2531469  -0.20712707 -0.20712707 -0.20712707
  -0.20712707 -0.20712707 -0.20712707 -0.20712707]
 [ 1.26766586  1.26766586  1.26766586  1.26766586 -0.22165452 -0.22165452
  -0.22165452 -0.22165452 -0.22165452 -0.22165452]
 [ 1.27563387  1.27563387  1.27563387  1.27563387  1.27563387 -0.22962929
  -0.22962929 -0.22962929 -0.22962929 -0.22962929]
 [ 1.28066778  1.28066778  1.28066778  1.28066778  1.28066778  1.28066778
  -0.23466964 -0.23466964 -0.23466964 -0.23466964]
 [ 1.04164987  1.04164987  1.04164987  1.04164987  1.04164987  1.04164987
   1.04164987  0.00434417  0.00434417  0.00434417]
 [ 0.86694188  0.86694188  0.86694188  0.86694188  0.86694188  0.86694188
   0.86694188  0.86694188  0.1790495   0.1790495 ]
 [ 0.79915957  0.79915957  0.79915957  0.79915957  0.79915957  0.79915957
   0.79915957  0.79915957  0.79915957  0.24682796]
 [ 0.52300109  0.52300109  0.52300109  0.52300109  0.52300109  0.52300109
   0.52300109  0.52300109  0.52300109  0.52300109]]
warst p star:  -0.29384462147463003 p:  [0.09847739 0.08720509 0.04928767 0.0983235  0.13334562 0.03973394
 0.07693507 0.11347718 0.14169402 0.16152053]
variance: 0.29384462103297554
--------------------------------------------------------------------
pi_l = 8 pi_t =  7
total problem result (min of alpha^2 + mu): 0.2413929314507496
alpha: 0.545909867396894
mu: -0.05662465178452847
F: [[ 1.04595417  0.04595417  0.04595417  0.04595417  0.04595417  0.04595417
   0.04595417  0.04595417  0.04595417  0.04595417]
 [ 1.10935743  1.10935743 -0.01749247 -0.01749247 -0.01749247 -0.01749247
  -0.01749247 -0.01749247 -0.01749247 -0.01749247]
 [ 1.12064314  1.12064314  1.12064314 -0.02879646 -0.02879646 -0.02879646
  -0.02879646 -0.02879646 -0.02879646 -0.02879646]
 [ 1.12535281  1.12535281  1.12535281  1.12535281 -0.03351744 -0.03351744
  -0.03351744 -0.03351744 -0.03351744 -0.03351744]
 [ 1.12793662  1.12793662  1.12793662  1.12793662  1.12793662 -0.03610986
  -0.03610986 -0.03610986 -0.03610986 -0.03610986]
 [ 1.12956826  1.12956826  1.12956826  1.12956826  1.12956826  1.12956826
  -0.03774909 -0.03774909 -0.03774909 -0.03774909]
 [ 1.13069141  1.13069141  1.13069141  1.13069141  1.13069141  1.13069141
   1.13069141 -0.03887995 -0.03887995 -0.03887995]
 [ 0.97252378  0.97252378  0.97252378  0.97252378  0.97252378  0.97252378
   0.97252378  0.97252378  0.11928285  0.11928285]
 [ 0.94698004  0.94698004  0.94698004  0.94698004  0.94698004  0.94698004
   0.94698004  0.94698004  0.94698004  0.1448133 ]
 [ 0.54591012  0.54591012  0.54591012  0.54591012  0.54591012  0.54591012
   0.54591012  0.54591012  0.54591012  0.54591012]]
warst p star:  -0.241389476612242 p:  [0.06574941 0.05227944 0.05272355 0.10136734 0.13835592 0.06311334
 0.08545867 0.11934545 0.14841333 0.17319355]
variance: 0.241389476113601
--------------------------------------------------------------------
pi_l = 8 pi_t =  8
total problem result (min of alpha^2 + mu): 0.21865384593022053
alpha: 0.56269238726765
mu: -0.0979688762845296
F: [[1.06274398 0.06274398 0.06274398 0.06274398 0.06274398 0.06274398
  0.06274398 0.06274398 0.06274398 0.06274398]
 [1.06271771 1.06271771 0.06271771 0.06271771 0.06271771 0.06271771
  0.06271771 0.06271771 0.06271771 0.06271771]
 [1.06270768 1.06270768 1.06270768 0.06270768 0.06270768 0.06270768
  0.06270768 0.06270768 0.06270768 0.06270768]
 [1.06270154 1.06270154 1.06270154 1.06270154 0.06270154 0.06270154
  0.06270154 0.06270154 0.06270154 0.06270154]
 [1.06269692 1.06269692 1.06269692 1.06269692 1.06269692 0.06269692
  0.06269692 0.06269692 0.06269692 0.06269692]
 [1.06269293 1.06269293 1.06269293 1.06269293 1.06269293 1.06269293
  0.06269293 0.06269293 0.06269293 0.06269293]
 [1.06268903 1.06268903 1.06268903 1.06268903 1.06268903 1.06268903
  1.06268903 0.06268903 0.06268903 0.06268903]
 [1.06268453 1.06268453 1.06268453 1.06268453 1.06268453 1.06268453
  1.06268453 1.06268453 0.06268453 0.06268453]
 [1.06268145 1.06268145 1.06268145 1.06268145 1.06268145 1.06268145
  1.06268145 1.06268145 1.06268145 0.06268145]
 [0.56269175 0.56269175 0.56269175 0.56269175 0.56269175 0.56269175
  0.56269175 0.56269175 0.56269175 0.56269175]]
warst p star:  -0.21864995709954968 p:  [0.03138636 0.03063327 0.05906842 0.10814066 0.14508621 0.07586347
 0.09188285 0.12015944 0.15394232 0.18383701]
variance: 0.21864995656811304
--------------------------------------------------------------------
pi_l = 8 pi_t =  9
total problem result (min of alpha^2 + mu): 0.20577070361955035
alpha: 0.5782551754788565
mu: -0.12860834432838422
F: [[ 1.0783035   0.0783035   0.0783035   0.0783035   0.0783035   0.0783035
   0.0783035   0.0783035   0.0783035   0.0783035 ]
 [ 1.04582864  1.04582864  0.11072858  0.11072858  0.11072858  0.11072858
   0.11072858  0.11072858  0.11072858  0.11072858]
 [ 1.04004098  1.04004098  1.04004098  0.11649845  0.11649845  0.11649845
   0.11649845  0.11649845  0.11649845  0.11649845]
 [ 1.03762315  1.03762315  1.03762315  1.03762315  0.11890561  0.11890561
   0.11890561  0.11890561  0.11890561  0.11890561]
 [ 1.03629506  1.03629506  1.03629506  1.03629506  1.03629506  0.12022582
   0.12022582  0.12022582  0.12022582  0.12022582]
 [ 1.03545503  1.03545503  1.03545503  1.03545503  1.03545503  1.03545503
   0.12105925  0.12105925  0.12105925  0.12105925]
 [ 1.03487536  1.03487536  1.03487536  1.03487536  1.03487536  1.03487536
   1.03487536  0.1216328   0.1216328   0.1216328 ]
 [ 1.03445072  1.03445072  1.03445072  1.03445072  1.03445072  1.03445072
   1.03445072  1.03445072  0.1220511   0.1220511 ]
 [ 1.17584301  1.17584301  1.17584301  1.17584301  1.17584301  1.17584301
   1.17584301  1.17584301  1.17584301 -0.01936123]
 [ 0.57825569  0.57825569  0.57825569  0.57825569  0.57825569  0.57825569
   0.57825569  0.57825569  0.57825569  0.57825569]]
warst p star:  -0.20576666544421418 p:  [0.02556553 0.02447682 0.05499725 0.10682382 0.14071021 0.07663826
 0.09836236 0.124437   0.15525011 0.19273865]
variance: 0.2057666648931844
--------------------------------------------------------------------
pi_l = 8 pi_t =  10
total problem result (min of alpha^2 + mu): 0.18972847822056957
alpha: 0.5949995242316799
mu: -0.16429599753072927
F: [[1.09504579 0.09504579 0.09504579 0.09504579 0.09504579 0.09504579
  0.09504579 0.09504579 0.09504579 0.09504579]
 [1.04850866 1.04850866 0.14153192 0.14153192 0.14153192 0.14153192
  0.14153192 0.14153192 0.14153192 0.14153192]
 [1.04021781 1.04021781 1.04021781 0.14980685 0.14980685 0.14980685
  0.14980685 0.14980685 0.14980685 0.14980685]
 [1.03675512 1.03675512 1.03675512 1.03675512 0.15325997 0.15325997
  0.15325997 0.15325997 0.15325997 0.15325997]
 [1.0348536  1.0348536  1.0348536  1.0348536  1.0348536  0.15515435
  0.15515435 0.15515435 0.15515435 0.15515435]
 [1.0336513  1.0336513  1.0336513  1.0336513  1.0336513  1.0336513
  0.15635069 0.15635069 0.15635069 0.15635069]
 [1.03282202 1.03282202 1.03282202 1.03282202 1.03282202 1.03282202
  1.03282202 0.15717435 0.15717435 0.15717435]
 [1.03221496 1.03221496 1.03221496 1.03221496 1.03221496 1.03221496
  1.03221496 1.03221496 0.1577755  0.1577755 ]
 [1.16752658 1.16752658 1.16752658 1.16752658 1.16752658 1.16752658
  1.16752658 1.16752658 1.16752658 0.02244886]
 [0.59499968 0.59499968 0.59499968 0.59499968 0.59499968 0.59499968
  0.59499968 0.59499968 0.59499968 0.59499968]]
warst p star:  -0.18972496274778894 p:  [0.02312382 0.02101505 0.05310289 0.107148   0.13809755 0.07866863
 0.11017667 0.1304773  0.1545404  0.1836497 ]
variance: 0.18972496217651857
--------------------------------------------------------------------
pi_l = 9 pi_t =  0
total problem result (min of alpha^2 + mu): 0.5103600896505872
alpha: 0.550004810809365
mu: 0.20785479782655555
F: [[ 5.55003857 -4.44996143 -4.44996143 -4.44996143 -4.44996143 -4.44996143
  -4.44996143 -4.44996143 -4.44996143 -4.44996143]
 [ 2.16655166  2.16655166 -1.06653105 -1.06653105 -1.06653105 -1.06653105
  -1.06653105 -1.06653105 -1.06653105 -1.06653105]
 [ 1.51413007  1.51413007  1.51413007 -0.41412105 -0.41412105 -0.41412105
  -0.41412105 -0.41412105 -0.41412105 -0.41412105]
 [ 1.236903    1.236903    1.236903    1.236903   -0.13689892 -0.13689892
  -0.13689892 -0.13689892 -0.13689892 -0.13689892]
 [ 1.08349927  1.08349927  1.08349927  1.08349927  1.08349927  0.01650175
   0.01650175  0.01650175  0.01650175  0.01650175]
 [ 0.98610475  0.98610475  0.98610475  0.98610475  0.98610475  0.98610475
   0.1138938   0.1138938   0.1138938   0.1138938 ]
 [ 0.9187802   0.9187802   0.9187802   0.9187802   0.9187802   0.9187802
   0.9187802   0.18121588  0.18121588  0.18121588]
 [ 0.86946154  0.86946154  0.86946154  0.86946154  0.86946154  0.86946154
   0.86946154  0.86946154  0.23053138  0.23053138]
 [ 0.83177599  0.83177599  0.83177599  0.83177599  0.83177599  0.83177599
   0.83177599  0.83177599  0.83177599  0.26821111]
 [ 0.55000583  0.55000583  0.55000583  0.55000583  0.55000583  0.55000583
   0.55000583  0.55000583  0.55000583  0.55000583]]
warst p star:  -0.5103557942726168 p:  [0.14859636 0.04250027 0.09941412 0.15697307 0.08575544 0.05827355
 0.07533257 0.09305401 0.11094632 0.1291543 ]
variance: 0.5103557938697019
--------------------------------------------------------------------
pi_l = 9 pi_t =  1
total problem result (min of alpha^2 + mu): 1.3668329251922737
alpha: 0.505008423122115
mu: 1.1117994178849209
F: [[10.00504594 -8.99495406 -8.99495406 -8.99495406 -8.99495406 -8.99495406
  -8.99495406 -8.99495406 -8.99495406 -8.99495406]
 [ 3.25312614  3.25312614 -2.24311446 -2.24311446 -2.24311446 -2.24311446
  -2.24311446 -2.24311446 -2.24311446 -2.24311446]
 [ 1.95118851  1.95118851  1.95118851 -0.94118818 -0.94118818 -0.94118818
  -0.94118818 -0.94118818 -0.94118818 -0.94118818]
 [ 1.39796949  1.39796949  1.39796949  1.39796949 -0.387973   -0.387973
  -0.387973   -0.387973   -0.387973   -0.387973  ]
 [ 1.09184609  1.09184609  1.09184609  1.09184609  1.09184609 -0.08185118
  -0.08185118 -0.08185118 -0.08185118 -0.08185118]
 [ 0.89749193  0.89749193  0.89749193  0.89749193  0.89749193  0.89749193
   0.11250208  0.11250208  0.11250208  0.11250208]
 [ 0.76314434  0.76314434  0.76314434  0.76314434  0.76314434  0.76314434
   0.76314434  0.24684932  0.24684932  0.24684932]
 [ 0.66472935  0.66472935  0.66472935  0.66472935  0.66472935  0.66472935
   0.66472935  0.66472935  0.34526427  0.34526427]
 [ 0.58952847  0.58952847  0.58952847  0.58952847  0.58952847  0.58952847
   0.58952847  0.58952847  0.58952847  0.420459  ]
 [ 0.50501343  0.50501343  0.50501343  0.50501343  0.50501343  0.50501343
   0.50501343  0.50501343  0.50501343  0.50501343]]
warst p star:  -1.3668282396730038 p:  [0.27344333 0.10158957 0.09069941 0.07665613 0.03965059 0.05895624
 0.07477985 0.0870955  0.09589328 0.10123611]
variance: 1.366828239463425
--------------------------------------------------------------------
pi_l = 9 pi_t =  2
total problem result (min of alpha^2 + mu): 1.1177365606735863
alpha: 0.5050071340170278
mu: 0.8627043547463873
F: [[ 8.3306259  -7.32053689 -7.32053689 -7.32053689 -7.32053689 -7.32053689
  -7.32053689 -7.32053689 -7.32053689 -7.32053689]
 [ 3.37342829  3.37342829 -2.36341382 -2.36341382 -2.36341382 -2.36341382
  -2.36341382 -2.36341382 -2.36341382 -2.36341382]
 [ 2.01396935  2.01396935  2.01396935 -1.00396787 -1.00396787 -1.00396787
  -1.00396787 -1.00396787 -1.00396787 -1.00396787]
 [ 1.43630846  1.43630846  1.43630846  1.43630846 -0.42631134 -0.42631134
  -0.42631134 -0.42631134 -0.42631134 -0.42631134]
 [ 1.11666013  1.11666013  1.11666013  1.11666013  1.11666013 -0.10666494
  -0.10666494 -0.10666494 -0.10666494 -0.10666494]
 [ 0.91371921  0.91371921  0.91371921  0.91371921  0.91371921  0.91371921
   0.09627499  0.09627499  0.09627499  0.09627499]
 [ 0.7734359   0.7734359   0.7734359   0.7734359   0.7734359   0.7734359
   0.7734359   0.23655768  0.23655768  0.23655768]
 [ 0.67067255  0.67067255  0.67067255  0.67067255  0.67067255  0.67067255
   0.67067255  0.67067255  0.3393204   0.3393204 ]
 [ 0.59215175  0.59215175  0.59215175  0.59215175  0.59215175  0.59215175
   0.59215175  0.59215175  0.59215175  0.41783982]
 [ 0.5050108   0.5050108   0.5050108   0.5050108   0.5050108   0.5050108
   0.5050108   0.5050108   0.5050108   0.5050108 ]]
warst p star:  -1.1177323285806329 p:  [0.25187062 0.11102261 0.09100757 0.08728222 0.03887712 0.05553367
 0.07383407 0.08806537 0.09821749 0.10428926]
variance: 1.1177323283494247
--------------------------------------------------------------------
pi_l = 9 pi_t =  3
total problem result (min of alpha^2 + mu): 0.8716437095184927
alpha: 0.5050071581052593
mu: 0.6166114798428505
F: [[ 6.7742738  -5.76418774 -5.76418774 -5.76418774 -5.76418774 -5.76418774
  -5.76418774 -5.76418774 -5.76418774 -5.76418774]
 [ 2.90495318  2.90495318 -1.89493114 -1.89493114 -1.89493114 -1.89493114
  -1.89493114 -1.89493114 -1.89493114 -1.89493114]
 [ 2.1588501   2.1588501   2.1588501  -1.14884221 -1.14884221 -1.14884221
  -1.14884221 -1.14884221 -1.14884221 -1.14884221]
 [ 1.52478438  1.52478438  1.52478438  1.52478438 -0.51478308 -0.51478308
  -0.51478308 -0.51478308 -0.51478308 -0.51478308]
 [ 1.17392446  1.17392446  1.17392446  1.17392446  1.17392446 -0.16392627
  -0.16392627 -0.16392627 -0.16392627 -0.16392627]
 [ 0.95116768  0.95116768  0.95116768  0.95116768  0.95116768  0.95116768
   0.05882878  0.05882878  0.05882878  0.05882878]
 [ 0.79718664  0.79718664  0.79718664  0.79718664  0.79718664  0.79718664
   0.79718664  0.21280876  0.21280876  0.21280876]
 [ 0.68438913  0.68438913  0.68438913  0.68438913  0.68438913  0.68438913
   0.68438913  0.68438913  0.32560527  0.32560527]
 [ 0.59820156  0.59820156  0.59820156  0.59820156  0.59820156  0.59820156
   0.59820156  0.59820156  0.59820156  0.41179164]
 [ 0.50500395  0.50500395  0.50500395  0.50500395  0.50500395  0.50500395
   0.50500395  0.50500395  0.50500395  0.50500395]]
warst p star:  -0.8716398648586233 p:  [0.22816569 0.11473561 0.08113785 0.10893782 0.03629494 0.05204172
 0.0740256  0.09108888 0.10320764 0.11036424]
variance: 0.8716398645972709
--------------------------------------------------------------------
pi_l = 9 pi_t =  4
total problem result (min of alpha^2 + mu): 0.6444432754028474
alpha: 0.5050056555632764
mu: 0.38941256364682525
F: [[ 5.09595051 -4.08586767 -4.08586767 -4.08586767 -4.08586767 -4.08586767
  -4.08586767 -4.08586767 -4.08586767 -4.08586767]
 [ 2.43016585  2.43016585 -1.42014174 -1.42014174 -1.42014174 -1.42014174
  -1.42014174 -1.42014174 -1.42014174 -1.42014174]
 [ 1.91613488  1.91613488  1.91613488 -0.90612358 -0.90612358 -0.90612358
  -0.90612358 -0.90612358 -0.90612358 -0.90612358]
 [ 1.69771173  1.69771173  1.69771173  1.69771173 -0.68770796 -0.68770796
  -0.68770796 -0.68770796 -0.68770796 -0.68770796]
 [ 1.28584779  1.28584779  1.28584779  1.28584779  1.28584779 -0.27584858
  -0.27584858 -0.27584858 -0.27584858 -0.27584858]
 [ 1.02436033  1.02436033  1.02436033  1.02436033  1.02436033  1.02436033
  -0.01436362 -0.01436362 -0.01436362 -0.01436362]
 [ 0.84360667  0.84360667  0.84360667  0.84360667  0.84360667  0.84360667
   0.84360667  0.16638852  0.16638852  0.16638852]
 [ 0.71119727  0.71119727  0.71119727  0.71119727  0.71119727  0.71119727
   0.71119727  0.71119727  0.29879689  0.29879689]
 [ 0.61002449  0.61002449  0.61002449  0.61002449  0.61002449  0.61002449
   0.61002449  0.61002449  0.61002449  0.39996849]
 [ 0.50500264  0.50500264  0.50500264  0.50500264  0.50500264  0.50500264
   0.50500264  0.50500264  0.50500264  0.50500264]]
warst p star:  -0.6444399835391871 p:  [0.20229475 0.1171802  0.06170517 0.12561094 0.03825391 0.05061615
 0.07502077 0.09666353 0.11191276 0.12074182]
variance: 0.6444399832391834
--------------------------------------------------------------------
pi_l = 9 pi_t =  5
total problem result (min of alpha^2 + mu): 0.4432294594121156
alpha: 0.5050033599737921
mu: 0.18820106568439676
F: [[ 2.80504021 -1.79495979 -1.79495979 -1.79495979 -1.79495979 -1.79495979
  -1.79495979 -1.79495979 -1.79495979 -1.79495979]
 [ 1.83057861  1.83057861 -0.82054921 -0.82054921 -0.82054921 -0.82054921
  -0.82054921 -0.82054921 -0.82054921 -0.82054921]
 [ 1.64267612  1.64267612  1.64267612 -0.6326602  -0.6326602  -0.6326602
  -0.6326602  -0.6326602  -0.6326602  -0.6326602 ]
 [ 1.56283114  1.56283114  1.56283114  1.56283114 -0.55282381 -0.55282381
  -0.55282381 -0.55282381 -0.55282381 -0.55282381]
 [ 1.51864753  1.51864753  1.51864753  1.51864753  1.51864753 -0.50864775
  -0.50864775 -0.50864775 -0.50864775 -0.50864775]
 [ 1.17660037  1.17660037  1.17660037  1.17660037  1.17660037  1.17660037
  -0.1666045  -0.1666045  -0.1666045  -0.1666045 ]
 [ 0.94015979  0.94015979  0.94015979  0.94015979  0.94015979  0.94015979
   0.94015979  0.06983389  0.06983389  0.06983389]
 [ 0.76695753  0.76695753  0.76695753  0.76695753  0.76695753  0.76695753
   0.76695753  0.76695753  0.2430348   0.2430348 ]
 [ 0.63461545  0.63461545  0.63461545  0.63461545  0.63461545  0.63461545
   0.63461545  0.63461545  0.63461545  0.3753756 ]
 [ 0.50500341  0.50500341  0.50500341  0.50500341  0.50500341  0.50500341
   0.50500341  0.50500341  0.50500341  0.50500341]]
warst p star:  -0.4432267921558572 p:  [0.15887242 0.11454655 0.04971628 0.10425208 0.09194576 0.04574
 0.07223446 0.10273397 0.12399713 0.13596135]
variance: 0.44322679180107305
--------------------------------------------------------------------
pi_l = 9 pi_t =  6
total problem result (min of alpha^2 + mu): 0.31726314830421887
alpha: 0.5230019404723044
mu: 0.043732118600592396
F: [[ 1.02304261  0.02304261  0.02304261  0.02304261  0.02304261  0.02304261
   0.02304261  0.02304261  0.02304261  0.02304261]
 [ 1.2666263   1.2666263  -0.22059174 -0.22059174 -0.22059174 -0.22059174
  -0.22059174 -0.22059174 -0.22059174 -0.22059174]
 [ 1.31359839  1.31359839  1.31359839 -0.26756753 -0.26756753 -0.26756753
  -0.26756753 -0.26756753 -0.26756753 -0.26756753]
 [ 1.33355193  1.33355193  1.33355193  1.33355193 -0.28753433 -0.28753433
  -0.28753433 -0.28753433 -0.28753433 -0.28753433]
 [ 1.34459177  1.34459177  1.34459177  1.34459177  1.34459177 -0.29858441
  -0.29858441 -0.29858441 -0.29858441 -0.29858441]
 [ 1.35159926  1.35159926  1.35159926  1.35159926  1.35159926  1.35159926
  -0.30560155 -0.30560155 -0.30560155 -0.30560155]
 [ 1.09092041  1.09092041  1.09092041  1.09092041  1.09092041  1.09092041
   1.09092041 -0.04492864 -0.04492864 -0.04492864]
 [ 0.89996273  0.89996273  0.89996273  0.89996273  0.89996273  0.89996273
   0.89996273  0.89996273  0.14602514  0.14602514]
 [ 0.7540534   0.7540534   0.7540534   0.7540534   0.7540534   0.7540534
   0.7540534   0.7540534   0.7540534   0.2919302 ]
 [ 0.52300222  0.52300222  0.52300222  0.52300222  0.52300222  0.52300222
   0.52300222  0.52300222  0.52300222  0.52300222]]
warst p star:  -0.3172604205880018 p:  [0.09914233 0.08771893 0.04965782 0.09807716 0.13260029 0.03870531
 0.07640865 0.11340534 0.14206532 0.16221886]
variance: 0.3172604201504304
--------------------------------------------------------------------
pi_l = 9 pi_t =  7
total problem result (min of alpha^2 + mu): 0.2571048214827577
alpha: 0.5459100386386051
mu: -0.04091294914345155
F: [[ 1.04594944  0.04594944  0.04594944  0.04594944  0.04594944  0.04594944
   0.04594944  0.04594944  0.04594944  0.04594944]
 [ 1.14846006  1.14846006 -0.05659804 -0.05659804 -0.05659804 -0.05659804
  -0.05659804 -0.05659804 -0.05659804 -0.05659804]
 [ 1.16822175  1.16822175  1.16822175 -0.0763767  -0.0763767  -0.0763767
  -0.0763767  -0.0763767  -0.0763767  -0.0763767 ]
 [ 1.17661714  1.17661714  1.17661714  1.17661714 -0.0847828  -0.0847828
  -0.0847828  -0.0847828  -0.0847828  -0.0847828 ]
 [ 1.18126157  1.18126157  1.18126157  1.18126157  1.18126157 -0.08943548
  -0.08943548 -0.08943548 -0.08943548 -0.08943548]
 [ 1.18420919  1.18420919  1.18420919  1.18420919  1.18420919  1.18420919
  -0.09239047 -0.09239047 -0.09239047 -0.09239047]
 [ 1.18624546  1.18624546  1.18624546  1.18624546  1.18624546  1.18624546
   1.18624546 -0.09443441 -0.09443441 -0.09443441]
 [ 1.01348354  1.01348354  1.01348354  1.01348354  1.01348354  1.01348354
   1.01348354  1.01348354  0.07832212  0.07832212]
 [ 0.88147845  0.88147845  0.88147845  0.88147845  0.88147845  0.88147845
   0.88147845  0.88147845  0.88147845  0.21032391]
 [ 0.54590973  0.54590973  0.54590973  0.54590973  0.54590973  0.54590973
   0.54590973  0.54590973  0.54590973  0.54590973]]
warst p star:  -0.2571018347016295 p:  [0.06571048 0.05232146 0.05271669 0.10135844 0.13828291 0.06297228
 0.08557527 0.11954954 0.14874223 0.1727707 ]
variance: 0.2571018342060743
--------------------------------------------------------------------
pi_l = 9 pi_t =  8
total problem result (min of alpha^2 + mu): 0.2290019173716285
alpha: 0.5626926169077822
mu: -0.08762106389598753
F: [[1.06273124 0.06273124 0.06273124 0.06273124 0.06273124 0.06273124
  0.06273124 0.06273124 0.06273124 0.06273124]
 [1.09741467 1.09741467 0.02801039 0.02801039 0.02801039 0.02801039
  0.02801039 0.02801039 0.02801039 0.02801039]
 [1.10409837 1.10409837 1.10409837 0.0213112  0.0213112  0.0213112
  0.0213112  0.0213112  0.0213112  0.0213112 ]
 [1.10693691 1.10693691 1.10693691 1.10693691 0.01846308 0.01846308
  0.01846308 0.01846308 0.01846308 0.01846308]
 [1.10850665 1.10850665 1.10850665 1.10850665 1.10850665 0.01688611
  0.01688611 0.01688611 0.01688611 0.01688611]
 [1.10950244 1.10950244 1.10950244 1.10950244 1.10950244 1.10950244
  0.01588409 0.01588409 0.01588409 0.01588409]
 [1.1101899  1.1101899  1.1101899  1.1101899  1.1101899  1.1101899
  1.1101899  0.01519056 0.01519056 0.01519056]
 [1.11069227 1.11069227 1.11069227 1.11069227 1.11069227 1.11069227
  1.11069227 1.11069227 0.0146813  0.0146813 ]
 [0.98102157 0.98102157 0.98102157 0.98102157 0.98102157 0.98102157
  0.98102157 0.98102157 0.98102157 0.14434448]
 [0.56269282 0.56269282 0.56269282 0.56269282 0.56269282 0.56269282
  0.56269282 0.56269282 0.56269282 0.56269282]]
warst p star:  -0.22899877834788204 p:  [0.0307933  0.03037774 0.05903811 0.10830441 0.14533934 0.07615039
 0.09235263 0.12045941 0.1537774  0.18340728]
variance: 0.22899877781853584
--------------------------------------------------------------------
pi_l = 9 pi_t =  9
total problem result (min of alpha^2 + mu): 0.21087209295315962
alpha: 0.5782558951421289
mu: -0.12350778721815155
F: [[1.07829545 0.07829545 0.07829545 0.07829545 0.07829545 0.07829545
  0.07829545 0.07829545 0.07829545 0.07829545]
 [1.07827574 1.07827574 0.07827574 0.07827574 0.07827574 0.07827574
  0.07827574 0.07827574 0.07827574 0.07827574]
 [1.07826803 1.07826803 1.07826803 0.07826803 0.07826803 0.07826803
  0.07826803 0.07826803 0.07826803 0.07826803]
 [1.07826328 1.07826328 1.07826328 1.07826328 0.07826328 0.07826328
  0.07826328 0.07826328 0.07826328 0.07826328]
 [1.0782597  1.0782597  1.0782597  1.0782597  1.0782597  0.0782597
  0.0782597  0.0782597  0.0782597  0.0782597 ]
 [1.07825663 1.07825663 1.07825663 1.07825663 1.07825663 1.07825663
  0.07825663 0.07825663 0.07825663 0.07825663]
 [1.07825365 1.07825365 1.07825365 1.07825365 1.07825365 1.07825365
  1.07825365 0.07825365 0.07825365 0.07825365]
 [1.07825028 1.07825028 1.07825028 1.07825028 1.07825028 1.07825028
  1.07825028 1.07825028 0.07825028 0.07825028]
 [1.07824781 1.07824781 1.07824781 1.07824781 1.07824781 1.07824781
  1.07824781 1.07824781 1.07824781 0.07824781]
 [0.57825538 0.57825538 0.57825538 0.57825538 0.57825538 0.57825538
  0.57825538 0.57825538 0.57825538 0.57825538]]
warst p star:  -0.21086907004503608 p:  [0.02516091 0.02426952 0.05490412 0.10683303 0.14077934 0.07677846
 0.09872459 0.12492611 0.15592573 0.19169819]
variance: 0.2108690694950202
--------------------------------------------------------------------
pi_l = 9 pi_t =  10
total problem result (min of alpha^2 + mu): 0.19446563683599902
alpha: 0.5949999526350528
mu: -0.15955930683792996
F: [[1.09504515 0.09504515 0.09504515 0.09504515 0.09504515 0.09504515
  0.09504515 0.09504515 0.09504515 0.09504515]
 [1.07998494 1.07998494 0.11006012 0.11006012 0.11006012 0.11006012
  0.11006012 0.11006012 0.11006012 0.11006012]
 [1.07707672 1.07707672 1.07707672 0.11295116 0.11295116 0.11295116
  0.11295116 0.11295116 0.11295116 0.11295116]
 [1.07583936 1.07583936 1.07583936 1.07583936 0.11417802 0.11417802
  0.11417802 0.11417802 0.11417802 0.11417802]
 [1.07515366 1.07515366 1.07515366 1.07515366 1.07515366 0.1148559
  0.1148559  0.1148559  0.1148559  0.1148559 ]
 [1.0747175  1.0747175  1.0747175  1.0747175  1.0747175  1.0747175
  0.11528545 0.11528545 0.11528545 0.11528545]
 [1.07441516 1.07441516 1.07441516 1.07441516 1.07441516 1.07441516
  1.07441516 0.11558154 0.11558154 0.11558154]
 [1.07419265 1.07419265 1.07419265 1.07419265 1.07419265 1.07419265
  1.07419265 1.07419265 0.1157974  0.1157974 ]
 [1.07401778 1.07401778 1.07401778 1.07401778 1.07401778 1.07401778
  1.07401778 1.07401778 1.07401778 0.11595749]
 [0.59500049 0.59500049 0.59500049 0.59500049 0.59500049 0.59500049
  0.59500049 0.59500049 0.59500049 0.59500049]]
warst p star:  -0.19446192591448894 p:  [0.02319682 0.02122848 0.05322041 0.10714764 0.1379583  0.07842907
 0.11001606 0.13037924 0.15459123 0.18383275]
variance: 0.1944619253441835
--------------------------------------------------------------------
pi_l = 10 pi_t =  0
total problem result (min of alpha^2 + mu): 0.5201559752191944
alpha: 0.550002676424297
mu: 0.21765303121646062
F: [[ 5.55002251 -4.44997749 -4.44997749 -4.44997749 -4.44997749 -4.44997749
  -4.44997749 -4.44997749 -4.44997749 -4.44997749]
 [ 2.21667208  2.21667208 -1.11666125 -1.11666125 -1.11666125 -1.11666125
  -1.11666125 -1.11666125 -1.11666125 -1.11666125]
 [ 1.55000238  1.55000238  1.55000238 -0.44999762 -0.44999762 -0.44999762
  -0.44999762 -0.44999762 -0.44999762 -0.44999762]
 [ 1.26428675  1.26428675  1.26428675  1.26428675 -0.16428467 -0.16428467
  -0.16428467 -0.16428467 -0.16428467 -0.16428467]
 [ 1.10555575  1.10555575  1.10555575  1.10555575  1.10555575 -0.00555536
  -0.00555536 -0.00555536 -0.00555536 -0.00555536]
 [ 1.00454497  1.00454497  1.00454497  1.00454497  1.00454497  1.00454497
   0.09545406  0.09545406  0.09545406  0.09545406]
 [ 0.93461421  0.93461421  0.93461421  0.93461421  0.93461421  0.93461421
   0.93461421  0.16538344  0.16538344  0.16538344]
 [ 0.88333128  0.88333128  0.88333128  0.88333128  0.88333128  0.88333128
   0.88333128  0.88333128  0.21666462  0.21666462]
 [ 0.84411399  0.84411399  0.84411399  0.84411399  0.84411399  0.84411399
   0.84411399  0.84411399  0.84411399  0.25587869]
 [ 0.55000284  0.55000284  0.55000284  0.55000284  0.55000284  0.55000284
   0.55000284  0.55000284  0.55000284  0.55000284]]
warst p star:  -0.5201535279295282 p:  [0.14722425 0.04271593 0.0999171  0.15745393 0.08616919 0.05861333
 0.07563    0.09311846 0.11070097 0.12845683]
variance: 0.52015352752803
--------------------------------------------------------------------
pi_l = 10 pi_t =  1
total problem result (min of alpha^2 + mu): 1.3831241510704924
alpha: 0.5050131898885653
mu: 1.128085829054995
F: [[10.0050679  -8.99493209 -8.99493209 -8.99493209 -8.99493209 -8.99493209
  -8.99493209 -8.99493209 -8.99493209 -8.99493209]
 [ 3.33834373  3.33834373 -2.32832294 -2.32832294 -2.32832294 -2.32832294
  -2.32832294 -2.32832294 -2.32832294 -2.32832294]
 [ 2.00500183  2.00500183  2.00500183 -0.99499817 -0.99499817 -0.99499817
  -0.99499817 -0.99499817 -0.99499817 -0.99499817]
 [ 1.43357007  1.43357007  1.43357007  1.43357007 -0.42357279 -0.42357279
  -0.42357279 -0.42357279 -0.42357279 -0.42357279]
 [ 1.11610822  1.11610822  1.11610822  1.11610822  1.11610822 -0.106114
  -0.106114   -0.106114   -0.106114   -0.106114  ]
 [ 0.91408722  0.91408722  0.91408722  0.91408722  0.91408722  0.91408722
   0.09590541  0.09590541  0.09590541  0.09590541]
 [ 0.77422671  0.77422671  0.77422671  0.77422671  0.77422671  0.77422671
   0.77422671  0.23576518  0.23576518  0.23576518]
 [ 0.67166304  0.67166304  0.67166304  0.67166304  0.67166304  0.67166304
   0.67166304  0.67166304  0.3383297   0.3383297 ]
 [ 0.59323123  0.59323123  0.59323123  0.59323123  0.59323123  0.59323123
   0.59323123  0.59323123  0.59323123  0.41676064]
 [ 0.50500758  0.50500758  0.50500758  0.50500758  0.50500758  0.50500758
   0.50500758  0.50500758  0.50500758  0.50500758]]
warst p star:  -1.38311720876291 p:  [0.27522258 0.10088669 0.08961359 0.075607   0.03945833 0.05894824
 0.07494418 0.08740336 0.09628812 0.10162793]
variance: 1.3831172085543126
--------------------------------------------------------------------
pi_l = 10 pi_t =  2
total problem result (min of alpha^2 + mu): 1.135463025632873
alpha: 0.5050066818258587
mu: 0.8804312771567663
F: [[ 8.3306236  -7.32053919 -7.32053919 -7.32053919 -7.32053919 -7.32053919
  -7.32053919 -7.32053919 -7.32053919 -7.32053919]
 [ 3.46237148  3.46237148 -2.4523572  -2.4523572  -2.4523572  -2.4523572
  -2.4523572  -2.4523572  -2.4523572  -2.4523572 ]
 [ 2.07011686  2.07011686  2.07011686 -1.0601157  -1.0601157  -1.0601157
  -1.0601157  -1.0601157  -1.0601157  -1.0601157 ]
 [ 1.47343691  1.47343691  1.47343691  1.47343691 -0.46344017 -0.46344017
  -0.46344017 -0.46344017 -0.46344017 -0.46344017]
 [ 1.14194829  1.14194829  1.14194829  1.14194829  1.14194829 -0.13195352
  -0.13195352 -0.13195352 -0.13195352 -0.13195352]
 [ 0.93100108  0.93100108  0.93100108  0.93100108  0.93100108  0.93100108
   0.07899262  0.07899262  0.07899262  0.07899262]
 [ 0.78496075  0.78496075  0.78496075  0.78496075  0.78496075  0.78496075
   0.78496075  0.22503231  0.22503231  0.22503231]
 [ 0.67786442  0.67786442  0.67786442  0.67786442  0.67786442  0.67786442
   0.67786442  0.67786442  0.33212798  0.33212798]
 [ 0.59596576  0.59596576  0.59596576  0.59596576  0.59596576  0.59596576
   0.59596576  0.59596576  0.59596576  0.41402321]
 [ 0.50501047  0.50501047  0.50501047  0.50501047  0.50501047  0.50501047
   0.50501047  0.50501047  0.50501047  0.50501047]]
warst p star:  -1.1354589195106104 p:  [0.25178205 0.11132917 0.09082831 0.08697197 0.03899537 0.05573279
 0.07392109 0.08806592 0.09815679 0.10421656]
variance: 1.1354589192807003
--------------------------------------------------------------------
pi_l = 10 pi_t =  3
total problem result (min of alpha^2 + mu): 0.8889456988145232
alpha: 0.5050067537306432
mu: 0.6339138776193153
F: [[ 6.77427196 -5.76418958 -5.76418958 -5.76418958 -5.76418958 -5.76418958
  -5.76418958 -5.76418958 -5.76418958 -5.76418958]
 [ 2.97936968  2.97936968 -1.96934827 -1.96934827 -1.96934827 -1.96934827
  -1.96934827 -1.96934827 -1.96934827 -1.96934827]
 [ 2.22038834  2.22038834  2.22038834 -1.21038089 -1.21038089 -1.21038089
  -1.21038089 -1.21038089 -1.21038089 -1.21038089]
 [ 1.56544006  1.56544006  1.56544006  1.56544006 -0.55543906 -0.55543906
  -0.55543906 -0.55543906 -0.55543906 -0.55543906]
 [ 1.20158015  1.20158015  1.20158015  1.20158015  1.20158015 -0.19158224
  -0.19158224 -0.19158224 -0.19158224 -0.19158224]
 [ 0.97003307  0.97003307  0.97003307  0.97003307  0.97003307  0.97003307
   0.03996314  0.03996314  0.03996314  0.03996314]
 [ 0.8097313   0.8097313   0.8097313   0.8097313   0.8097313   0.8097313
   0.8097313   0.20026385  0.20026385  0.20026385]
 [ 0.69217671  0.69217671  0.69217671  0.69217671  0.69217671  0.69217671
   0.69217671  0.69217671  0.31781773  0.31781773]
 [ 0.60228115  0.60228115  0.60228115  0.60228115  0.60228115  0.60228115
   0.60228115  0.60228115  0.60228115  0.40771101]
 [ 0.50500393  0.50500393  0.50500393  0.50500393  0.50500393  0.50500393
   0.50500393  0.50500393  0.50500393  0.50500393]]
warst p star:  -0.888941971642123 p:  [0.22809668 0.1149815  0.08098703 0.10862822 0.03643983 0.05226595
 0.07412352 0.09108885 0.10313066 0.11025776]
variance: 0.8889419713822951
--------------------------------------------------------------------
pi_l = 10 pi_t =  4
total problem result (min of alpha^2 + mu): 0.6606807467837702
alpha: 0.5050058236775568
mu: 0.40564986480850124
F: [[ 5.0959542  -4.08586398 -4.08586398 -4.08586398 -4.08586398 -4.08586398
  -4.08586398 -4.08586398 -4.08586398 -4.08586398]
 [ 2.48986145  2.48986145 -1.47983552 -1.47983552 -1.47983552 -1.47983552
  -1.47983552 -1.47983552 -1.47983552 -1.47983552]
 [ 1.96864214  1.96864214  1.96864214 -0.95863059 -0.95863059 -0.95863059
  -0.95863059 -0.95863059 -0.95863059 -0.95863059]
 [ 1.74526121  1.74526121  1.74526121  1.74526121 -0.73525827 -0.73525827
  -0.73525827 -0.73525827 -0.73525827 -0.73525827]
 [ 1.31813042  1.31813042  1.31813042  1.31813042  1.31813042 -0.30813221
  -0.30813221 -0.30813221 -0.30813221 -0.30813221]
 [ 1.04632016  1.04632016  1.04632016  1.04632016  1.04632016  1.04632016
  -0.03632446 -0.03632446 -0.03632446 -0.03632446]
 [ 0.85814397  0.85814397  0.85814397  0.85814397  0.85814397  0.85814397
   0.85814397  0.15185026  0.15185026  0.15185026]
 [ 0.72014814  0.72014814  0.72014814  0.72014814  0.72014814  0.72014814
   0.72014814  0.72014814  0.28984511  0.28984511]
 [ 0.61462167  0.61462167  0.61462167  0.61462167  0.61462167  0.61462167
   0.61462167  0.61462167  0.61462167  0.39537033]
 [ 0.50500341  0.50500341  0.50500341  0.50500341  0.50500341  0.50500341
   0.50500341  0.50500341  0.50500341  0.50500341]]
warst p star:  -0.6606771519029618 p:  [0.20276127 0.11736122 0.06137173 0.12520952 0.03789864 0.0506284
 0.07519327 0.09678285 0.11199279 0.12080032]
variance: 0.6606771516046981
--------------------------------------------------------------------
pi_l = 10 pi_t =  5
total problem result (min of alpha^2 + mu): 0.45852646576630063
alpha: 0.5050031345814853
mu: 0.2034982995844105
F: [[ 2.80503607 -1.79496393 -1.79496393 -1.79496393 -1.79496393 -1.79496393
  -1.79496393 -1.79496393 -1.79496393 -1.79496393]
 [ 1.87167996  1.87167996 -0.86165337 -0.86165337 -0.86165337 -0.86165337
  -0.86165337 -0.86165337 -0.86165337 -0.86165337]
 [ 1.68500731  1.68500731  1.68500731 -0.67499269 -0.67499269 -0.67499269
  -0.67499269 -0.67499269 -0.67499269 -0.67499269]
 [ 1.60500352  1.60500352  1.60500352  1.60500352 -0.59499648 -0.59499648
  -0.59499648 -0.59499648 -0.59499648 -0.59499648]
 [ 1.56055578  1.56055578  1.56055578  1.56055578  1.56055578 -0.55055533
  -0.55055533 -0.55055533 -0.55055533 -0.55055533]
 [ 1.20499825  1.20499825  1.20499825  1.20499825  1.20499825  1.20499825
  -0.19500175 -0.19500175 -0.19500175 -0.19500175]
 [ 0.95884328  0.95884328  0.95884328  0.95884328  0.95884328  0.95884328
   0.95884328  0.05115098  0.05115098  0.05115098]
 [ 0.77832976  0.77832976  0.77832976  0.77832976  0.77832976  0.77832976
   0.77832976  0.77832976  0.2316631   0.2316631 ]
 [ 0.64028993  0.64028993  0.64028993  0.64028993  0.64028993  0.64028993
   0.64028993  0.64028993  0.64028993  0.36970169]
 [ 0.50500222  0.50500222  0.50500222  0.50500222  0.50500222  0.50500222
   0.50500222  0.50500222  0.50500222  0.50500222]]
warst p star:  -0.4585240484748149 p:  [0.15872379 0.11470564 0.04970846 0.10427638 0.09188336 0.04563975
 0.07246321 0.10279929 0.12395012 0.13585   ]
variance: 0.45852404812214237
--------------------------------------------------------------------
pi_l = 10 pi_t =  6
total problem result (min of alpha^2 + mu): 0.330107731376014
alpha: 0.523002374592172
mu: 0.05657624757619447
F: [[ 1.02305226  0.02305226  0.02305226  0.02305226  0.02305226  0.02305226
   0.02305226  0.02305226  0.02305226  0.02305226]
 [ 1.28969603  1.28969603 -0.24363731 -0.24363731 -0.24363731 -0.24363731
  -0.24363731 -0.24363731 -0.24363731 -0.24363731]
 [ 1.34301783  1.34301783  1.34301783 -0.29698217 -0.29698217 -0.29698217
  -0.29698217 -0.29698217 -0.29698217 -0.29698217]
 [ 1.3658674   1.3658674   1.3658674   1.3658674  -0.31984689 -0.31984689
  -0.31984689 -0.31984689 -0.31984689 -0.31984689]
 [ 1.37855972  1.37855972  1.37855972  1.37855972  1.37855972 -0.33255139
  -0.33255139 -0.33255139 -0.33255139 -0.33255139]
 [ 1.38663468  1.38663468  1.38663468  1.38663468  1.38663468  1.38663468
  -0.34063805 -0.34063805 -0.34063805 -0.34063805]
 [ 1.11530233  1.11530233  1.11530233  1.11530233  1.11530233  1.11530233
   1.11530233 -0.06931305 -0.06931305 -0.06931305]
 [ 0.91632555  0.91632555  0.91632555  0.91632555  0.91632555  0.91632555
   0.91632555  0.91632555  0.12965888  0.12965888]
 [ 0.76416602  0.76416602  0.76416602  0.76416602  0.76416602  0.76416602
   0.76416602  0.76416602  0.76416602  0.28181308]
 [ 0.52300231  0.52300231  0.52300231  0.52300231  0.52300231  0.52300231
   0.52300231  0.52300231  0.52300231  0.52300231]]
warst p star:  -0.33010419230689714 p:  [0.09994318 0.08840216 0.0495364  0.09768518 0.13196642 0.03795382
 0.07600788 0.11335382 0.14235331 0.16279784]
variance: 0.33010419187156215
--------------------------------------------------------------------
pi_l = 10 pi_t =  7
total problem result (min of alpha^2 + mu): 0.26764089664195684
alpha: 0.5459098696011188
mu: -0.030376689148103205
F: [[ 1.04594336  0.04594336  0.04594336  0.04594336  0.04594336  0.04594336
   0.04594336  0.04594336  0.04594336  0.04594336]
 [ 1.1671402   1.1671402  -0.07528404 -0.07528404 -0.07528404 -0.07528404
  -0.07528404 -0.07528404 -0.07528404 -0.07528404]
 [ 1.1913753   1.1913753   1.1913753  -0.09953379 -0.09953379 -0.09953379
  -0.09953379 -0.09953379 -0.09953379 -0.09953379]
 [ 1.20176026  1.20176026  1.20176026  1.20176026 -0.10992805 -0.10992805
  -0.10992805 -0.10992805 -0.10992805 -0.10992805]
 [ 1.20752868  1.20752868  1.20752868  1.20752868  1.20752868 -0.11570365
  -0.11570365 -0.11570365 -0.11570365 -0.11570365]
 [ 1.21119856  1.21119856  1.21119856  1.21119856  1.21119856  1.21119856
  -0.11937996 -0.11937996 -0.11937996 -0.11937996]
 [ 1.21373812  1.21373812  1.21373812  1.21373812  1.21373812  1.21373812
   1.21373812 -0.12192621 -0.12192621 -0.12192621]
 [ 1.03378238  1.03378238  1.03378238  1.03378238  1.03378238  1.03378238
   1.03378238  1.03378238  0.05802481  0.05802481]
 [ 0.8961695   0.8961695   0.8961695   0.8961695   0.8961695   0.8961695
   0.8961695   0.8961695   0.8961695   0.19563474]
 [ 0.54590961  0.54590961  0.54590961  0.54590961  0.54590961  0.54590961
   0.54590961  0.54590961  0.54590961  0.54590961]]
warst p star:  -0.26763829742547274 p:  [0.06552156 0.05222526 0.0526837  0.10142046 0.13837757 0.06305437
 0.08579592 0.11966545 0.14869555 0.17256017]
variance: 0.26763829693193886
--------------------------------------------------------------------
pi_l = 10 pi_t =  8
total problem result (min of alpha^2 + mu): 0.23844977559905411
alpha: 0.5626925575304184
mu: -0.07817313832114832
F: [[ 1.06272886  0.06272886  0.06272886  0.06272886  0.06272886  0.06272886
   0.06272886  0.06272886  0.06272886  0.06272886]
 [ 1.11399375  1.11399375  0.01142965  0.01142965  0.01142965  0.01142965
   0.01142965  0.01142965  0.01142965  0.01142965]
 [ 1.12424276  1.12424276  1.12424276  0.00116584  0.00116584  0.00116584
   0.00116584  0.00116584  0.00116584  0.00116584]
 [ 1.12863376  1.12863376  1.12863376  1.12863376 -0.00323437 -0.00323437
  -0.00323437 -0.00323437 -0.00323437 -0.00323437]
 [ 1.13107228  1.13107228  1.13107228  1.13107228  1.13107228 -0.00567986
  -0.00567986 -0.00567986 -0.00567986 -0.00567986]
 [ 1.13262328  1.13262328  1.13262328  1.13262328  1.13262328  1.13262328
  -0.00723686 -0.00723686 -0.00723686 -0.00723686]
 [ 1.1336962   1.1336962   1.1336962   1.1336962   1.1336962   1.1336962
   1.1336962  -0.00831563 -0.00831563 -0.00831563]
 [ 1.13448183  1.13448183  1.13448183  1.13448183  1.13448183  1.13448183
   1.13448183  1.13448183 -0.00910791 -0.00910791]
 [ 0.99933485  0.99933485  0.99933485  0.99933485  0.99933485  0.99933485
   0.99933485  0.99933485  0.99933485  0.12603168]
 [ 0.56269277  0.56269277  0.56269277  0.56269277  0.56269277  0.56269277
   0.56269277  0.56269277  0.56269277  0.56269277]]
warst p star:  -0.2384467551848051 p:  [0.03083998 0.03039188 0.05906196 0.10831191 0.14527276 0.07602615
 0.09239759 0.12051203 0.15380078 0.18338497]
variance: 0.23844675465729148
--------------------------------------------------------------------
pi_l = 10 pi_t =  9
total problem result (min of alpha^2 + mu): 0.21959616352586245
alpha: 0.5782556610834767
mu: -0.11478344601126104
F: [[1.0783146  0.0783146  0.0783146  0.0783146  0.0783146  0.0783146
  0.0783146  0.0783146  0.0783146  0.0783146 ]
 [1.09378999 1.09378999 0.06278224 0.06278224 0.06278224 0.06278224
  0.06278224 0.06278224 0.06278224 0.06278224]
 [1.09687923 1.09687923 1.09687923 0.05966993 0.05966993 0.05966993
  0.05966993 0.05966993 0.05966993 0.05966993]
 [1.09820103 1.09820103 1.09820103 1.09820103 0.05833392 0.05833392
  0.05833392 0.05833392 0.05833392 0.05833392]
 [1.098934   1.098934   1.098934   1.098934   1.098934   0.05759033
  0.05759033 0.05759033 0.05759033 0.05759033]
 [1.0993993  1.0993993  1.0993993  1.0993993  1.0993993  1.0993993
  0.05711601 0.05711601 0.05711601 0.05711601]
 [1.0997203  1.0997203  1.0997203  1.0997203  1.0997203  1.0997203
  1.0997203  0.05678649 0.05678649 0.05678649]
 [1.09995427 1.09995427 1.09995427 1.09995427 1.09995427 1.09995427
  1.09995427 1.09995427 0.05654342 0.05654342]
 [1.1001275  1.1001275  1.1001275  1.1001275  1.1001275  1.1001275
  1.1001275  1.1001275  1.1001275  0.05635185]
 [0.57825622 0.57825622 0.57825622 0.57825622 0.57825622 0.57825622
  0.57825622 0.57825622 0.57825622 0.57825622]]
warst p star:  -0.2195912049572316 p:  [0.0260732  0.02516013 0.05532764 0.10674552 0.14017932 0.07580529
 0.09776493 0.12408559 0.1554795  0.19337889]
variance: 0.21959120440890229
--------------------------------------------------------------------
pi_l = 10 pi_t =  10
total problem result (min of alpha^2 + mu): 0.2025000000318016
alpha: 0.5949999471375992
mu: -0.15152493716124124
F: [[1.09504795 0.09504795 0.09504795 0.09504795 0.09504795 0.09504795
  0.09504795 0.09504795 0.09504795 0.09504795]
 [1.09502438 1.09502438 0.09502438 0.09502438 0.09502438 0.09502438
  0.09502438 0.09502438 0.09502438 0.09502438]
 [1.09501506 1.09501506 1.09501506 0.09501506 0.09501506 0.09501506
  0.09501506 0.09501506 0.09501506 0.09501506]
 [1.09500931 1.09500931 1.09500931 1.09500931 0.09500931 0.09500931
  0.09500931 0.09500931 0.09500931 0.09500931]
 [1.09500501 1.09500501 1.09500501 1.09500501 1.09500501 0.09500501
  0.09500501 0.09500501 0.09500501 0.09500501]
 [1.09500134 1.09500134 1.09500134 1.09500134 1.09500134 1.09500134
  0.09500134 0.09500134 0.09500134 0.09500134]
 [1.09499787 1.09499787 1.09499787 1.09499787 1.09499787 1.09499787
  1.09499787 0.09499787 0.09499787 0.09499787]
 [1.09499411 1.09499411 1.09499411 1.09499411 1.09499411 1.09499411
  1.09499411 1.09499411 0.09499411 0.09499411]
 [1.09498767 1.09498767 1.09498767 1.09498767 1.09498767 1.09498767
  1.09498767 1.09498767 1.09498767 0.09498767]
 [0.59500022 0.59500022 0.59500022 0.59500022 0.59500022 0.59500022
  0.59500022 0.59500022 0.59500022 0.59500022]]
warst p star:  -0.20249609579737135 p:  [0.0232773  0.02147792 0.05335698 0.10714249 0.13776905 0.07811279
 0.10985843 0.13032021 0.15473062 0.18395422]
variance: 0.2024960952287322