Let's again consider the function of two variables that we saw before:
$$f(x, y) = -0.4+(x+15)/30 + (y+15)/40 + 0.5\sin(r), r = \sqrt{x^2+y^2}$$We can plot this function as before:
In [1]:
%matplotlib inline
from numpy import *
from numpy.linalg import norm
from mpl_toolkits.mplot3d import Axes3D
from matplotlib import cm
from matplotlib.ticker import LinearLocator, FormatStrFormatter
from matplotlib.pyplot import *
from numpy import *
def f(x, y):
r = sqrt(x**2 + y**2)
return -.4 + (x+15)/30. + (y+15)/40.+.5*sin(r)
x = arange(-15, 15, 0.25)
y = arange(-15, 15, 0.25)
X, Y = meshgrid(x, y)
R = sqrt(X**2 + Y**2)
Z = -.4 + (X+15)/30. + (Y+15)/40.+.5*sin(R)
/usr/lib/python2.7/dist-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.
warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')
In [2]:
fig = figure(3)
ax = fig.gca(projection='3d')
surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm,
linewidth=0, antialiased=False)
ax.set_zlim(-2.01, 2.01)
ax.zaxis.set_major_locator(LinearLocator(10))
ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))
fig.colorbar(surf, shrink=0.5, aspect=5)
show()
In [3]:
x = arange(-15, 15, 0.25)
y = arange(-15, 15, 0.25)
X, Y = meshgrid(x, y)
R = sqrt(X**2 + Y**2)
Z = -.4 + (X+15)/30. + (Y+15)/40.+.5*sin(R)
figure(1)
CS = contour(X, Y, Z, cmap=cm.coolwarm)
clabel(CS, inline=1, fontsize=10)
title('Contour plot')
show()
Suppose we want to find a local minimum of this function. In order to do that, we need to compute its gradient.
Here is a sample computation:
$$\frac{\partial f}{\partial x} = 1/30 + 0.5\cos(r)\frac{\partial r}{\partial x}$$$$\frac{\partial r}{\partial x} = (0.5(x^2+y^2)^{-1/2})(2 x)$$We can get the following:
In [4]:
def drdx(x, y, r):
return (.5*(x**2 + y**2)**-.5)*(2*x)
def drdy(x, y, r):
return (.5*(x**2 + y**2)**-.5)*(2*y)
def dfdx(x, y):
r = sqrt(x**2 + y**2)
return 1/30. + .5*cos(r)*drdx(x, y, r)
def dfdy(x, y):
r = sqrt(x**2 + y**2)
return 1/40. + .5*cos(r)*drdy(x, y, r)
def gradf(x, y):
return array([dfdx(x, y), dfdy(x, y)])
Let's check that we got things right:
In [5]:
x = 0
y = 5
h = 0.001
(f(x+h, y)-f(x, y))/h
Out[5]:
0.033347516444903746
In [6]:
dfdx(x, y)
Out[6]:
0.033333333333333333
In [7]:
(f(x, y+h)-f(x, y))/h
Out[7]:
0.16707080014188858
In [8]:
dfdy(x, y)
Out[8]:
0.16683109273161312
Pretty close! We'd expect to get closer if we make $h$ smaller.
In [9]:
gradf(x, y)
Out[9]:
array([ 0.03333333, 0.16683109])
That's just the same thing. We are now ready to implement gradient descent
In [10]:
def grad_descent2(f, gradf, init_t, alpha):
EPS = 1e-5
prev_t = init_t-10*EPS
t = init_t.copy()
max_iter = 1000
iter = 0
while norm(t - prev_t) > EPS and iter < max_iter:
prev_t = t.copy()
t -= alpha*gradf(t[0], t[1])
print t, f(t[0], t[1]), gradf(t[0], t[1])
iter += 1
return t
Let's try to run it, guided by the countour plot about where to start.
In [11]:
f(10., 8.)
Out[11]:
1.1271253262964116
In [12]:
grad_descent2(f, gradf, array([10.0, 8.0]), 0.01)
[ 9.99587412 7.99671596] 1.124342902 [ 0.413072 0.32879157] [ 9.9917434 7.99342804] 1.12155397037 [ 0.41354556 0.32917105] [ 9.98760794 7.99013633] 1.11875865954 [ 0.41400905 0.32954248] [ 9.98346785 7.98684091] 1.11595709897 [ 0.41446241 0.3299058 ] [ 9.97932323 7.98354185] 1.11314941939 [ 0.41490557 0.33026098] [ 9.97517417 7.98023924] 1.11033575278 [ 0.41533849 0.33060795] [ 9.97102078 7.97693316] 1.10751623235 [ 0.4157611 0.33094668] [ 9.96686317 7.97362369] 1.10469099251 [ 0.41617334 0.33127712] [ 9.96270144 7.97031092] 1.10186016887 [ 0.41657517 0.33159923] [ 9.95853569 7.96699493] 1.09902389818 [ 0.41696652 0.33191296] [ 9.95436602 7.9636758 ] 1.09618231834 [ 0.41734736 0.33221828] [ 9.95019255 7.96035362] 1.09333556834 [ 0.41771762 0.33251514] [ 9.94601537 7.95702847] 1.09048378828 [ 0.41807726 0.3328035 ] [ 9.9418346 7.95370043] 1.0876271193 [ 0.41842622 0.33308333] [ 9.93765034 7.9503696 ] 1.08476570356 [ 0.41876447 0.33335458] [ 9.93346269 7.94703605] 1.08189968424 [ 0.41909195 0.33361722] [ 9.92927177 7.94369988] 1.0790292055 [ 0.41940863 0.33387122] [ 9.92507769 7.94036117] 1.07615441243 [ 0.41971445 0.33411654] [ 9.92088054 7.93702 ] 1.07327545105 [ 0.42000938 0.33435314] [ 9.91668045 7.93367647] 1.07039246827 [ 0.42029338 0.334581 ] [ 9.91247752 7.93033066] 1.06750561186 [ 0.42056641 0.33480008] [ 9.90827185 7.92698266] 1.06461503043 [ 0.42082843 0.33501036] [ 9.90406357 7.92363256] 1.06172087337 [ 0.42107941 0.3352118 ] [ 9.89985277 7.92028044] 1.05882329085 [ 0.4213193 0.33540438] [ 9.89563958 7.9169264 ] 1.05592243381 [ 0.42154809 0.33558808] [ 9.8914241 7.91357051] 1.05301845385 [ 0.42176573 0.33576285] [ 9.88720644 7.91021289] 1.05011150328 [ 0.4219722 0.33592869] [ 9.88298672 7.9068536 ] 1.04720173505 [ 0.42216747 0.33608557] [ 9.87876505 7.90349274] 1.04428930272 [ 0.4223515 0.33623347] [ 9.87454153 7.90013041] 1.04137436044 [ 0.42252429 0.33637236] [ 9.87031629 7.89676669] 1.03845706291 [ 0.42268579 0.33650223] [ 9.86608943 7.89340166] 1.03553756533 [ 0.42283599 0.33662306] [ 9.86186107 7.89003543] 1.03261602341 [ 0.42297488 0.33673483] [ 9.85763132 7.88666808] 1.02969259328 [ 0.42310242 0.33683753] [ 9.8534003 7.88329971] 1.02676743151 [ 0.4232186 0.33693114] [ 9.84916811 7.8799304 ] 1.02384069506 [ 0.4233234 0.33701565] [ 9.84493488 7.87656024] 1.0209125412 [ 0.42341681 0.33709105] [ 9.84070071 7.87318933] 1.01798312756 [ 0.42349882 0.33715732] [ 9.83646572 7.86981776] 1.01505261203 [ 0.42356942 0.33721446] [ 9.83223003 7.86644561] 1.01212115275 [ 0.42362858 0.33726246] [ 9.82799374 7.86307299] 1.00918890808 [ 0.42367632 0.33730131] [ 9.82375698 7.85969997] 1.00625603654 [ 0.42371261 0.33733101] [ 9.81951985 7.85632666] 1.0033226968 [ 0.42373745 0.33735155] [ 9.81528248 7.85295315] 1.00038904766 [ 0.42375084 0.33736293] [ 9.81104497 7.84957952] 0.997455247966 [ 0.42375278 0.33736515] [ 9.80680744 7.84620587] 0.994521456619 [ 0.42374326 0.3373582 ] [ 9.80257001 7.84283229] 0.991587832522 [ 0.4237223 0.33734209] [ 9.79833279 7.83945887] 0.988654534544 [ 0.42368988 0.33731681] [ 9.79409589 7.8360857 ] 0.985721721494 [ 0.42364601 0.33728238] [ 9.78985943 7.83271287] 0.982789552077 [ 0.4235907 0.3372388] [ 9.78562352 7.82934049] 0.979858184866 [ 0.42352396 0.33718606] [ 9.78138828 7.82596863] 0.976927778266 [ 0.42344579 0.33712419] [ 9.77715382 7.82259738] 0.973998490475 [ 0.42335621 0.33705318] [ 9.77292026 7.81922685] 0.971070479457 [ 0.42325522 0.33697305] [ 9.76868771 7.81585712] 0.968143902901 [ 0.42314284 0.3368838 ] [ 9.76445628 7.81248828] 0.965218918189 [ 0.42301909 0.33678545] [ 9.76022609 7.80912043] 0.962295682363 [ 0.42288398 0.33667802] [ 9.75599725 7.80575365] 0.959374352093 [ 0.42273753 0.33656151] [ 9.75176987 7.80238803] 0.956455083636 [ 0.42257976 0.33643594] [ 9.74754408 7.79902367] 0.953538032809 [ 0.42241069 0.33630133] [ 9.74331997 7.79566066] 0.950623354955 [ 0.42223034 0.3361577 ] [ 9.73909767 7.79229908] 0.947711204907 [ 0.42203873 0.33600507] [ 9.73487728 7.78893903] 0.944801736956 [ 0.4218359 0.33584345] [ 9.73065892 7.7855806 ] 0.941895104819 [ 0.42162187 0.33567287] [ 9.7264427 7.78222387] 0.938991461608 [ 0.42139667 0.33549335] [ 9.72222873 7.77886894] 0.936090959795 [ 0.42116033 0.33530491] [ 9.71801713 7.77551589] 0.933193751182 [ 0.42091287 0.33510759] [ 9.713808 7.77216481] 0.930299986867 [ 0.42065434 0.3349014 ] [ 9.70960146 7.7688158 ] 0.927409817218 [ 0.42038477 0.33468638] [ 9.70539761 7.76546893] 0.924523391836 [ 0.42010419 0.33446255] [ 9.70119657 7.76212431] 0.921640859528 [ 0.41981265 0.33422994] [ 9.69699844 7.75878201] 0.918762368277 [ 0.41951017 0.33398859] [ 9.69280334 7.75544212] 0.915888065209 [ 0.4191968 0.33373852] [ 9.68861137 7.75210474] 0.913018096569 [ 0.41887259 0.33347978] [ 9.68442265 7.74876994] 0.910152607686 [ 0.41853757 0.33321238] [ 9.68023727 7.74543782] 0.907291742948 [ 0.41819179 0.33293638] [ 9.67605535 7.74210845] 0.904435645772 [ 0.41783529 0.3326518 ] [ 9.671877 7.73878193] 0.90158445858 [ 0.41746813 0.33235869] [ 9.66770232 7.73545835] 0.898738322765 [ 0.41709035 0.33205708] [ 9.66353142 7.73213778] 0.89589737867 [ 0.41670199 0.331747 ] [ 9.6593644 7.72882031] 0.893061765559 [ 0.41630312 0.33142852] [ 9.65520136 7.72550602] 0.890231621592 [ 0.41589379 0.33110165] [ 9.65104243 7.722195 ] 0.887407083798 [ 0.41547404 0.33076645] [ 9.64688769 7.71888734] 0.884588288051 [ 0.41504393 0.33042297] [ 9.64273725 7.71558311] 0.881775369046 [ 0.41460351 0.33007124] [ 9.63859121 7.7122824 ] 0.878968460275 [ 0.41415286 0.32971131] [ 9.63444968 7.70898528] 0.876167694002 [ 0.41369201 0.32934322] [ 9.63031276 7.70569185] 0.873373201242 [ 0.41322104 0.32896704] [ 9.62618055 7.70240218] 0.870585111737 [ 0.41274001 0.32858279] [ 9.62205315 7.69911635] 0.867803553935 [ 0.41224896 0.32819054] [ 9.61793066 7.69583445] 0.865028654967 [ 0.41174798 0.32779034] [ 9.61381318 7.69255655] 0.862260540632 [ 0.41123712 0.32738223] [ 9.60970081 7.68928272] 0.859499335367 [ 0.41071645 0.32696626] [ 9.60559365 7.68601306] 0.856745162236 [ 0.41018602 0.3265425 ] [ 9.60149179 7.68274764] 0.853998142907 [ 0.40964592 0.32611099] [ 9.59739533 7.67948653] 0.851258397635 [ 0.40909621 0.32567178] [ 9.59330437 7.67622981] 0.848526045241 [ 0.40853696 0.32522494] [ 9.589219 7.67297756] 0.845801203099 [ 0.40796823 0.32477052] [ 9.58513931 7.66972985] 0.843083987115 [ 0.40739011 0.32430858] [ 9.58106541 7.66648677] 0.840374511714 [ 0.40680266 0.32383917] [ 9.57699739 7.66324838] 0.837672889823 [ 0.40620595 0.32336235] [ 9.57293533 7.66001475] 0.834979232857 [ 0.40560005 0.32287818] [ 9.56887933 7.65678597] 0.832293650701 [ 0.40498506 0.32238673] [ 9.56482948 7.6535621 ] 0.829616251701 [ 0.40436103 0.32188804] [ 9.56078587 7.65034322] 0.826947142648 [ 0.40372804 0.32138219] [ 9.55674858 7.6471294 ] 0.824286428767 [ 0.40308618 0.32086923] [ 9.55271772 7.64392071] 0.821634213702 [ 0.40243552 0.32034923] [ 9.54869337 7.64071722] 0.818990599506 [ 0.40177613 0.31982225] [ 9.54467561 7.63751899] 0.816355686633 [ 0.40110811 0.31928835] [ 9.54066453 7.63432611] 0.813729573924 [ 0.40043152 0.3187476 ] [ 9.53666021 7.63113863] 0.811112358598 [ 0.39974645 0.31820006] [ 9.53266275 7.62795663] 0.808504136243 [ 0.39905299 0.31764579] [ 9.52867222 7.62478018] 0.80590500081 [ 0.3983512 0.31708487] [ 9.5246887 7.62160933] 0.803315044602 [ 0.39764119 0.31651736] [ 9.52071229 7.61844415] 0.800734358266 [ 0.39692302 0.31594333] [ 9.51674306 7.61528472] 0.798163030792 [ 0.39619679 0.31536284] [ 9.51278109 7.61213109] 0.795601149499 [ 0.39546257 0.31477596] [ 9.50882647 7.60898333] 0.793048800035 [ 0.39472046 0.31418275] [ 9.50487926 7.6058415 ] 0.79050606637 [ 0.39397054 0.3135833 ] [ 9.50093956 7.60270567] 0.787973030793 [ 0.39321289 0.31297766] [ 9.49700743 7.59957589] 0.785449773905 [ 0.39244761 0.31236591] [ 9.49308295 7.59645224] 0.78293637462 [ 0.39167477 0.31174811] [ 9.48916621 7.59333475] 0.780432910157 [ 0.39089447 0.31112434] [ 9.48525726 7.59022351] 0.777939456045 [ 0.39010679 0.31049466] [ 9.48135619 7.58711856] 0.775456086112 [ 0.38931183 0.30985915] [ 9.47746307 7.58401997] 0.772982872494 [ 0.38850967 0.30921787] [ 9.47357798 7.58092779] 0.770519885627 [ 0.38770039 0.30857091] [ 9.46970097 7.57784209] 0.768067194249 [ 0.3868841 0.30791832] [ 9.46583213 7.5747629 ] 0.765624865403 [ 0.38606088 0.30726018] [ 9.46197152 7.5716903 ] 0.763192964435 [ 0.38523081 0.30659657] [ 9.45811922 7.56862433] 0.760771554995 [ 0.384394 0.30592755] [ 9.45427528 7.56556506] 0.758360699044 [ 0.38355052 0.3052532 ] [ 9.45043977 7.56251253] 0.755960456851 [ 0.38270048 0.30457359] [ 9.44661277 7.55946679] 0.753570886997 [ 0.38184395 0.3038888 ] [ 9.44279433 7.5564279 ] 0.751192046382 [ 0.38098104 0.30319888] [ 9.43898452 7.55339591] 0.748823990226 [ 0.38011183 0.30250393] [ 9.4351834 7.55037087] 0.746466772074 [ 0.37923642 0.30180401] [ 9.43139103 7.54735283] 0.7441204438 [ 0.37835489 0.30109919] [ 9.42760748 7.54434184] 0.741785055615 [ 0.37746734 0.30038955] [ 9.42383281 7.54133795] 0.73946065607 [ 0.37657385 0.29967516] [ 9.42006707 7.5383412 ] 0.737147292063 [ 0.37567453 0.29895609] [ 9.41631033 7.53535164] 0.734845008849 [ 0.37476946 0.29823242] [ 9.41256263 7.53236931] 0.732553850041 [ 0.37385873 0.29750422] [ 9.40882405 7.52939427] 0.730273857621 [ 0.37294244 0.29677157] [ 9.40509462 7.52642655] 0.728005071949 [ 0.37202067 0.29603453] [ 9.40137441 7.52346621] 0.72574753177 [ 0.37109352 0.29529318] [ 9.39766348 7.52051328] 0.72350127422 [ 0.37016109 0.29454759] [ 9.39396187 7.5175678 ] 0.721266334841 [ 0.36922345 0.29379785] [ 9.39026963 7.51462982] 0.719042747585 [ 0.3682807 0.29304401] [ 9.38658683 7.51169938] 0.716830544826 [ 0.36733294 0.29228615] [ 9.3829135 7.50877652] 0.71462975737 [ 0.36638026 0.29152435] [ 9.37924969 7.50586128] 0.712440414466 [ 0.36542274 0.29075868] [ 9.37559547 7.50295369] 0.710262543815 [ 0.36446047 0.28998921] [ 9.37195086 7.5000538 ] 0.708096171582 [ 0.36349356 0.28921601] [ 9.36831593 7.49716164] 0.70594132241 [ 0.36252208 0.28843916] [ 9.36469071 7.49427725] 0.703798019428 [ 0.36154613 0.28765872] [ 9.36107524 7.49140066] 0.701666284263 [ 0.3605658 0.28687478] [ 9.35746959 7.48853191] 0.699546137056 [ 0.35958117 0.28608739] [ 9.35387378 7.48567104] 0.69743759647 [ 0.35859234 0.28529664] [ 9.35028785 7.48281807] 0.695340679707 [ 0.3575994 0.2845026] [ 9.34671186 7.47997304] 0.69325540252 [ 0.35660243 0.28370533] [ 9.34314583 7.47713599] 0.691181779221 [ 0.35560153 0.2829049 ] [ 9.33958982 7.47430694] 0.689119822704 [ 0.35459678 0.2821014 ] [ 9.33604385 7.47148593] 0.687069544451 [ 0.35358827 0.28129488] [ 9.33250797 7.46867298] 0.68503095455 [ 0.35257608 0.28048542] [ 9.32898221 7.46586813] 0.683004061707 [ 0.35156032 0.27967309] [ 9.3254666 7.46307139] 0.680988873263 [ 0.35054105 0.27885795] [ 9.32196119 7.46028281] 0.678985395206 [ 0.34951837 0.27804008] [ 9.31846601 7.45750241] 0.676993632187 [ 0.34849237 0.27721954] [ 9.31498109 7.45473022] 0.675013587535 [ 0.34746312 0.27639641] [ 9.31150645 7.45196625] 0.673045263272 [ 0.34643072 0.27557075] [ 9.30804215 7.44921055] 0.671088660128 [ 0.34539526 0.27474263] [ 9.30458819 7.44646312] 0.669143777557 [ 0.3443568 0.27391212] [ 9.30114463 7.443724 ] 0.667210613751 [ 0.34331545 0.27307929] [ 9.29771147 7.44099321] 0.665289165659 [ 0.34227128 0.27224419] [ 9.29428876 7.43827076] 0.663379428999 [ 0.34122437 0.2714069 ] [ 9.29087652 7.4355567 ] 0.661481398277 [ 0.34017481 0.27056749] [ 9.28747477 7.43285102] 0.6595950668 [ 0.33912269 0.26972602] [ 9.28408354 7.43015376] 0.657720426695 [ 0.33806807 0.26888255] [ 9.28070286 7.42746494] 0.655857468924 [ 0.33701105 0.26803715] [ 9.27733275 7.42478456] 0.654006183301 [ 0.3359517 0.26718989] [ 9.27397323 7.42211266] 0.652166558505 [ 0.3348901 0.26634082] [ 9.27062433 7.41944926] 0.650338582102 [ 0.33382634 0.26549002] [ 9.26728607 7.41679436] 0.648522240558 [ 0.33276049 0.26463754] [ 9.26395846 7.41414798] 0.646717519256 [ 0.33169263 0.26378345] [ 9.26064154 7.41151015] 0.644924402511 [ 0.33062283 0.26292781] [ 9.25733531 7.40888087] 0.643142873591 [ 0.32955119 0.26207068] [ 9.2540398 7.40626016] 0.64137291473 [ 0.32847776 0.26121213] [ 9.25075502 7.40364804] 0.639614507146 [ 0.32740263 0.26035221] [ 9.24748099 7.40104452] 0.637867631056 [ 0.32632588 0.25949098] [ 9.24421773 7.39844961] 0.636132265697 [ 0.32524758 0.25862851] [ 9.24096526 7.39586332] 0.634408389338 [ 0.3241678 0.25776486] [ 9.23772358 7.39328567] 0.632695979298 [ 0.32308661 0.25690007] [ 9.23449271 7.39071667] 0.630995011964 [ 0.3220041 0.25603422] [ 9.23127267 7.38815633] 0.629305462807 [ 0.32092033 0.25516736] [ 9.22806347 7.38560466] 0.627627306399 [ 0.31983537 0.25429955] [ 9.22486512 7.38306166] 0.625960516428 [ 0.3187493 0.25343084] [ 9.22167762 7.38052735] 0.624305065717 [ 0.31766219 0.25256129] [ 9.218501 7.37800174] 0.622660926238 [ 0.3165741 0.25169096] [ 9.21533526 7.37548483] 0.621028069132 [ 0.31548511 0.25081991] [ 9.21218041 7.37297663] 0.619406464721 [ 0.31439528 0.24994818] [ 9.20903646 7.37047715] 0.617796082528 [ 0.31330469 0.24907583] [ 9.20590341 7.36798639] 0.616196891292 [ 0.3122134 0.24820292] [ 9.20278128 7.36550436] 0.614608858983 [ 0.31112147 0.2473295 ] [ 9.19967006 7.36303107] 0.613031952823 [ 0.31002897 0.24645562] [ 9.19656977 7.36056651] 0.611466139294 [ 0.30893598 0.24558133] [ 9.19348041 7.3581107 ] 0.609911384163 [ 0.30784255 0.24470669] [ 9.19040199 7.35566363] 0.608367652491 [ 0.30674874 0.24383176] [ 9.1873345 7.35322531] 0.606834908653 [ 0.30565463 0.24295656] [ 9.18427795 7.35079575] 0.605313116352 [ 0.30456027 0.24208117] [ 9.18123235 7.34837494] 0.603802238635 [ 0.30346573 0.24120563] [ 9.17819769 7.34596288] 0.602302237909 [ 0.30237107 0.24032999] [ 9.17517398 7.34355958] 0.600813075956 [ 0.30127634 0.23945429] [ 9.17216122 7.34116504] 0.599334713949 [ 0.30018161 0.23857859] [ 9.1691594 7.33877925] 0.597867112468 [ 0.29908694 0.23770293] [ 9.16616853 7.33640222] 0.596410231511 [ 0.29799239 0.23682736] [ 9.16318861 7.33403395] 0.594964030516 [ 0.29689802 0.23595193] [ 9.16021963 7.33167443] 0.593528468368 [ 0.29580387 0.23507668] [ 9.15726159 7.32932366] 0.592103503423 [ 0.29471002 0.23420166] [ 9.15431449 7.32698165] 0.590689093513 [ 0.29361651 0.23332691] [ 9.15137832 7.32464838] 0.589285195968 [ 0.2925234 0.23245248] [ 9.14845309 7.32232385] 0.587891767626 [ 0.29143075 0.23157841] [ 9.14553878 7.32000807] 0.586508764851 [ 0.29033861 0.23070474] [ 9.1426354 7.31770102] 0.585136143543 [ 0.28924703 0.22983152] [ 9.13974293 7.31540271] 0.583773859156 [ 0.28815607 0.22895879] [ 9.13686137 7.31311312] 0.582421866709 [ 0.28706577 0.22808659] [ 9.13399071 7.31083225] 0.581080120801 [ 0.2859762 0.22721496] [ 9.13113095 7.3085601 ] 0.579748575626 [ 0.2848874 0.22634395] [ 9.12828207 7.30629666] 0.578427184982 [ 0.28379941 0.22547359] [ 9.12544408 7.30404193] 0.57711590229 [ 0.2827123 0.22460392] [ 9.12261696 7.30179589] 0.575814680604 [ 0.28162611 0.22373499] [ 9.11980069 7.29955854] 0.574523472624 [ 0.28054088 0.22286682] [ 9.11699529 7.29732987] 0.573242230708 [ 0.27945667 0.22199946] [ 9.11420072 7.29510988] 0.57197090689 [ 0.27837352 0.22113295] [ 9.11141698 7.29289855] 0.570709452886 [ 0.27729148 0.22026732] [ 9.10864407 7.29069587] 0.569457820109 [ 0.27621059 0.21940261] [ 9.10588196 7.28850185] 0.568215959683 [ 0.2751309 0.21853886] [ 9.10313065 7.28631646] 0.566983822453 [ 0.27405245 0.21767609] [ 9.10039013 7.2841397 ] 0.565761358997 [ 0.27297528 0.21681435] [ 9.09766038 7.28197155] 0.564548519639 [ 0.27189945 0.21595367] [ 9.09494138 7.27981202] 0.56334525446 [ 0.27082499 0.21509409] [ 9.09223313 7.27766108] 0.56215151331 [ 0.26975193 0.21423563] [ 9.08953561 7.27551872] 0.560967245818 [ 0.26868034 0.21337833] [ 9.08684881 7.27338494] 0.559792401405 [ 0.26761023 0.21252222] [ 9.08417271 7.27125971] 0.558626929293 [ 0.26654166 0.21166734] [ 9.08150729 7.26914304] 0.557470778519 [ 0.26547467 0.21081371] [ 9.07885254 7.2670349 ] 0.556323897941 [ 0.26440928 0.20996137] [ 9.07620845 7.26493529] 0.555186236253 [ 0.26334555 0.20911034] [ 9.073575 7.26284419] 0.554057741995 [ 0.2622835 0.20826067] [ 9.07095216 7.26076158] 0.552938363558 [ 0.26122318 0.20741236] [ 9.06833993 7.25868746] 0.551828049202 [ 0.26016461 0.20656546] [ 9.06573828 7.2566218 ] 0.55072674706 [ 0.25910784 0.20572 ] [ 9.0631472 7.2545646] 0.54963440515 [ 0.2580529 0.20487599] [ 9.06056668 7.25251584] 0.548550971383 [ 0.25699982 0.20403348] [ 9.05799668 7.25047551] 0.547476393577 [ 0.25594864 0.20319248] [ 9.05543719 7.24844358] 0.546410619459 [ 0.2548994 0.20235302] [ 9.0528882 7.24642005] 0.545353596681 [ 0.25385211 0.20151513] [ 9.05034968 7.2444049 ] 0.544305272826 [ 0.25280683 0.20067883] [ 9.04782161 7.24239811] 0.543265595415 [ 0.25176357 0.19984415] [ 9.04530397 7.24039967] 0.54223451192 [ 0.25072236 0.19901112] [ 9.04279675 7.23840956] 0.541211969769 [ 0.24968325 0.19817975] [ 9.04029992 7.23642776] 0.540197916356 [ 0.24864625 0.19735008] [ 9.03781345 7.23445426] 0.539192299047 [ 0.2476114 0.19652212] [ 9.03533734 7.23248904] 0.538195065193 [ 0.24657873 0.19569589] [ 9.03287155 7.23053208] 0.537206162132 [ 0.24554826 0.19487143] [ 9.03041607 7.22858337] 0.536225537201 [ 0.24452002 0.19404875] [ 9.02797087 7.22664288] 0.535253137741 [ 0.24349404 0.19322788] [ 9.02553593 7.2247106 ] 0.534288911108 [ 0.24247034 0.19240883] [ 9.02311122 7.22278651] 0.533332804674 [ 0.24144896 0.19159162] [ 9.02069674 7.2208706 ] 0.532384765843 [ 0.24042991 0.19077628] [ 9.01829244 7.21896283] 0.531444742048 [ 0.23941322 0.18996283] [ 9.0158983 7.2170632] 0.530512680766 [ 0.23839892 0.18915128] [ 9.01351431 7.21517169] 0.529588529523 [ 0.23738702 0.18834166] [ 9.01114044 7.21328828] 0.528672235896 [ 0.23637756 0.18753398] [ 9.00877667 7.21141294] 0.527763747525 [ 0.23537055 0.18672826] [ 9.00642296 7.20954565] 0.526863012116 [ 0.23436602 0.18592453] [ 9.0040793 7.20768641] 0.525969977451 [ 0.23336399 0.18512279] [ 9.00174566 7.20583518] 0.525084591389 [ 0.23236448 0.18432306] [ 8.99942202 7.20399195] 0.524206801874 [ 0.23136751 0.18352536] [ 8.99710834 7.2021567 ] 0.523336556942 [ 0.23037311 0.18272972] [ 8.99480461 7.2003294 ] 0.522473804728 [ 0.22938129 0.18193613] [ 8.9925108 7.19851004] 0.521618493466 [ 0.22839206 0.18114463] [ 8.99022688 7.19669859] 0.520770571498 [ 0.22740546 0.18035521] [ 8.98795282 7.19489504] 0.519929987283 [ 0.2264215 0.17956791] [ 8.98568861 7.19309936] 0.519096689393 [ 0.22544019 0.17878273] [ 8.98343421 7.19131153] 0.518270626526 [ 0.22446156 0.17799969] [ 8.98118959 7.18953154] 0.517451747509 [ 0.22348563 0.1772188 ] [ 8.97895474 7.18775935] 0.516640001299 [ 0.2225124 0.17644007] [ 8.97672961 7.18599495] 0.515835336992 [ 0.22154189 0.17566353] [ 8.97451419 7.18423831] 0.515037703827 [ 0.22057413 0.17488917] [ 8.97230845 7.18248942] 0.514247051189 [ 0.21960912 0.17411702] [ 8.97011236 7.18074825] 0.513463328612 [ 0.21864689 0.17334708] [ 8.96792589 7.17901478] 0.512686485787 [ 0.21768744 0.17257937] [ 8.96574902 7.17728899] 0.511916472564 [ 0.21673079 0.17181389] [ 8.96358171 7.17557085] 0.511153238956 [ 0.21577695 0.17105067] [ 8.96142394 7.17386034] 0.51039673514 [ 0.21482595 0.17028971] [ 8.95927568 7.17215744] 0.509646911468 [ 0.21387778 0.16953101] [ 8.9571369 7.17046213] 0.508903718464 [ 0.21293247 0.1687746 ] [ 8.95500758 7.16877439] 0.508167106829 [ 0.21199002 0.16802048] [ 8.95288768 7.16709418] 0.507437027446 [ 0.21105045 0.16726866] [ 8.95077717 7.16542149] 0.506713431384 [ 0.21011377 0.16651915] [ 8.94867603 7.1637563 ] 0.505996269898 [ 0.20917999 0.16577195] [ 8.94658423 7.16209858] 0.505285494434 [ 0.20824912 0.16502709] [ 8.94450174 7.16044831] 0.504581056632 [ 0.20732117 0.16428456] [ 8.94242853 7.15880547] 0.503882908328 [ 0.20639616 0.16354437] [ 8.94036457 7.15717002] 0.503191001561 [ 0.20547408 0.16280653] [ 8.93830983 7.15554196] 0.502505288568 [ 0.20455496 0.16207105] [ 8.93626428 7.15392125] 0.501825721793 [ 0.20363879 0.16133794] [ 8.93422789 7.15230787] 0.501152253889 [ 0.20272559 0.1606072 ] [ 8.93220064 7.1507018 ] 0.500484837715 [ 0.20181537 0.15987884] [ 8.93018248 7.14910301] 0.499823426347 [ 0.20090814 0.15915286] [ 8.9281734 7.14751148] 0.499167973072 [ 0.20000389 0.15842928] [ 8.92617336 7.14592719] 0.498518431396 [ 0.19910265 0.15770809] [ 8.92418234 7.14435011] 0.497874755044 [ 0.19820441 0.15698931] [ 8.92220029 7.14278021] 0.49723689796 [ 0.19730918 0.15627294] [ 8.9202272 7.14121748] 0.496604814313 [ 0.19641697 0.15555898] [ 8.91826303 7.13966189] 0.495978458495 [ 0.19552779 0.15484744] [ 8.91630775 7.13811342] 0.495357785127 [ 0.19464164 0.15413832] [ 8.91436134 7.13657204] 0.494742749056 [ 0.19375853 0.15343163] [ 8.91242375 7.13503772] 0.49413330536 [ 0.19287846 0.15272737] [ 8.91049497 7.13351045] 0.493529409349 [ 0.19200143 0.15202555] [ 8.90857495 7.13199019] 0.492931016565 [ 0.19112746 0.15132617] [ 8.90666368 7.13047693] 0.492338082785 [ 0.19025654 0.15062923] [ 8.90476111 7.12897064] 0.491750564021 [ 0.18938868 0.14993474] [ 8.90286722 7.12747129] 0.491168416522 [ 0.18852389 0.14924269] [ 8.90098199 7.12597886] 0.490591596777 [ 0.18766216 0.1485531 ] [ 8.89910536 7.12449333] 0.490020061513 [ 0.1868035 0.14786597] [ 8.89723733 7.12301467] 0.489453767698 [ 0.18594792 0.14718129] [ 8.89537785 7.12154286] 0.48889267254 [ 0.18509541 0.14649907] [ 8.8935269 7.12007787] 0.48833673349 [ 0.18424598 0.14581931] [ 8.89168444 7.11861967] 0.487785908244 [ 0.18339963 0.14514202] [ 8.88985044 7.11716825] 0.487240154741 [ 0.18255637 0.14446719] [ 8.88802488 7.11572358] 0.486699431164 [ 0.18171618 0.14379482] [ 8.88620771 7.11428563] 0.486163695943 [ 0.18087909 0.14312493] [ 8.88439892 7.11285439] 0.485632907753 [ 0.18004508 0.1424575 ] [ 8.88259847 7.11142981] 0.485107025516 [ 0.17921416 0.14179254] [ 8.88080633 7.11001188] 0.484586008403 [ 0.17838633 0.14113005] [ 8.87902247 7.10860058] 0.48406981583 [ 0.17756159 0.14047004] [ 8.87724685 7.10719588] 0.483558407465 [ 0.17673994 0.13981249] [ 8.87547945 7.10579776] 0.483051743221 [ 0.17592137 0.13915741] [ 8.87372024 7.10440618] 0.482549783262 [ 0.1751059 0.13850481] [ 8.87196918 7.10302114] 0.482052488 [ 0.17429352 0.13785467] [ 8.87022624 7.10164259] 0.4815598181 [ 0.17348423 0.13720701] [ 8.8684914 7.10027052] 0.481071734471 [ 0.17267802 0.13656182] [ 8.86676462 7.0989049 ] 0.480588198277 [ 0.17187491 0.13591909] [ 8.86504587 7.09754571] 0.480109170929 [ 0.17107488 0.13527883] [ 8.86333512 7.09619292] 0.479634614089 [ 0.17027794 0.13464104] [ 8.86163234 7.09484651] 0.479164489669 [ 0.16948407 0.13400572] [ 8.8599375 7.09350645] 0.47869875983 [ 0.1686933 0.13337286] [ 8.85825057 7.09217273] 0.478237386986 [ 0.1679056 0.13274247] [ 8.85657151 7.0908453 ] 0.477780333796 [ 0.16712098 0.13211453] [ 8.85490031 7.08952416] 0.477327563173 [ 0.16633944 0.13148906] [ 8.85323691 7.08820927] 0.476879038277 [ 0.16556097 0.13086604] [ 8.8515813 7.08690061] 0.476434722518 [ 0.16478557 0.13024548] [ 8.84993345 7.08559815] 0.475994579555 [ 0.16401324 0.12962738] [ 8.84829331 7.08430188] 0.475558573295 [ 0.16324398 0.12901172] [ 8.84666087 7.08301176] 0.475126667894 [ 0.16247778 0.12839852] [ 8.8450361 7.08172777] 0.474698827756 [ 0.16171464 0.12778776] [ 8.84341895 7.0804499 ] 0.474275017532 [ 0.16095455 0.12717945] [ 8.8418094 7.0791781] 0.473855202121 [ 0.16019752 0.12657358] [ 8.84020743 7.07791237] 0.473439346668 [ 0.15944354 0.12597014] [ 8.83861299 7.07665266] 0.473027416564 [ 0.1586926 0.12536914] [ 8.83702607 7.07539897] 0.472619377446 [ 0.15794471 0.12477058] [ 8.83544662 7.07415127] 0.472215195197 [ 0.15719985 0.12417444] [ 8.83387462 7.07290952] 0.471814835943 [ 0.15645802 0.12358073] [ 8.83231004 7.07167372] 0.471418266055 [ 0.15571923 0.12298944] [ 8.83075285 7.07044382] 0.471025452146 [ 0.15498346 0.12240057] [ 8.82920301 7.06921982] 0.470636361074 [ 0.1542507 0.12181411] [ 8.82766051 7.06800167] 0.470250959936 [ 0.15352097 0.12123007] [ 8.8261253 7.06678937] 0.469869216073 [ 0.15279424 0.12064843] [ 8.82459736 7.06558289] 0.469491097065 [ 0.15207052 0.1200692 ] [ 8.82307665 7.0643822 ] 0.469116570732 [ 0.15134979 0.11949237] [ 8.82156315 7.06318727] 0.468745605133 [ 0.15063207 0.11891793] [ 8.82005683 7.06199809] 0.468378168565 [ 0.14991733 0.11834588] [ 8.81855766 7.06081464] 0.468014229563 [ 0.14920557 0.11777622] [ 8.8170656 7.05963687] 0.467653756899 [ 0.1484968 0.11720894] [ 8.81558063 7.05846478] 0.467296719579 [ 0.147791 0.11664404] [ 8.81410272 7.05729834] 0.466943086846 [ 0.14708816 0.11608151] [ 8.81263184 7.05613753] 0.466592828175 [ 0.14638829 0.11552135] [ 8.81116796 7.05498232] 0.466245913275 [ 0.14569137 0.11496355] [ 8.80971105 7.05383268] 0.465902312088 [ 0.1449974 0.11440811] [ 8.80826107 7.0526886 ] 0.465561994785 [ 0.14430637 0.11385502] [ 8.80681801 7.05155005] 0.465224931768 [ 0.14361828 0.11330429] [ 8.80538183 7.05041701] 0.46489109367 [ 0.14293312 0.1127559 ] [ 8.80395249 7.04928945] 0.464560451351 [ 0.14225088 0.11220984] [ 8.80252999 7.04816735] 0.464232975897 [ 0.14157156 0.11166612] [ 8.80111427 7.04705069] 0.463908638623 [ 0.14089515 0.11112473] [ 8.79970532 7.04593944] 0.463587411066 [ 0.14022164 0.11058566] [ 8.7983031 7.04483358] 0.46326926499 [ 0.13955103 0.1100489 ] [ 8.79690759 7.04373309] 0.462954172382 [ 0.13888332 0.10951446] [ 8.79551876 7.04263795] 0.462642105448 [ 0.13821848 0.10898233] [ 8.79413657 7.04154813] 0.462333036619 [ 0.13755652 0.10845249] [ 8.79276101 7.0404636 ] 0.462026938544 [ 0.13689743 0.10792495] [ 8.79139203 7.03938435] 0.46172378409 [ 0.1362412 0.1073997] [ 8.79002962 7.03831036] 0.461423546342 [ 0.13558783 0.10687673] [ 8.78867374 7.03724159] 0.461126198605 [ 0.1349373 0.10635604] [ 8.78732437 7.03617803] 0.460831714394 [ 0.13428962 0.10583762] [ 8.78598148 7.03511965] 0.460540067443 [ 0.13364476 0.10532146] [ 8.78464503 7.03406644] 0.460251231696 [ 0.13300273 0.10480757] [ 8.783315 7.03301836] 0.459965181311 [ 0.13236352 0.10429593] [ 8.78199136 7.0319754 ] 0.459681890657 [ 0.13172712 0.10378654] [ 8.78067409 7.03093754] 0.459401334312 [ 0.13109352 0.10327938] [ 8.77936316 7.02990474] 0.459123487062 [ 0.13046271 0.10277447] [ 8.77805853 7.028877 ] 0.458848323902 [ 0.12983469 0.10227178] [ 8.77676018 7.02785428] 0.458575820032 [ 0.12920945 0.10177131] [ 8.77546809 7.02683657] 0.458305950858 [ 0.12858698 0.10127306] [ 8.77418222 7.02582384] 0.458038691989 [ 0.12796727 0.10077702] [ 8.77290255 7.02481607] 0.457774019238 [ 0.12735032 0.10028318] [ 8.77162904 7.02381323] 0.457511908617 [ 0.12673611 0.09979154] [ 8.77036168 7.02281532] 0.457252336342 [ 0.12612464 0.09930209] [ 8.76910044 7.0218223 ] 0.456995278824 [ 0.1255159 0.09881482] [ 8.76784528 7.02083415] 0.456740712676 [ 0.12490988 0.09832973] [ 8.76659618 7.01985085] 0.456488614704 [ 0.12430658 0.09784682] [ 8.76535311 7.01887238] 0.456238961912 [ 0.12370598 0.09736606] [ 8.76411605 7.01789872] 0.455991731497 [ 0.12310808 0.09688746] [ 8.76288497 7.01692985] 0.45574690085 [ 0.12251287 0.09641102] [ 8.76165984 7.01596574] 0.455504447553 [ 0.12192033 0.09593671] [ 8.76044064 7.01500637] 0.455264349379 [ 0.12133047 0.09546455] [ 8.75922734 7.01405173] 0.455026584289 [ 0.12074328 0.09499451] [ 8.7580199 7.01310178] 0.454791130436 [ 0.12015873 0.0945266 ] [ 8.75681832 7.01215652] 0.454557966155 [ 0.11957684 0.09406081] [ 8.75562255 7.01121591] 0.454327069969 [ 0.11899758 0.09359712] [ 8.75443257 7.01027994] 0.454098420588 [ 0.11842095 0.09313554] [ 8.75324836 7.00934858] 0.4538719969 [ 0.11784694 0.09267606] [ 8.75206989 7.00842182] 0.45364777798 [ 0.11727554 0.09221866] [ 8.75089714 7.00749963] 0.453425743081 [ 0.11670675 0.09176335] [ 8.74973007 7.006582 ] 0.453205871636 [ 0.11614055 0.09131011] [ 8.74856866 7.0056689 ] 0.452988143257 [ 0.11557693 0.09085894] [ 8.7474129 7.00476031] 0.452772537732 [ 0.1150159 0.09040983] [ 8.74626274 7.00385621] 0.452559035027 [ 0.11445743 0.08996277] [ 8.74511816 7.00295658] 0.452347615281 [ 0.11390152 0.08951777] [ 8.74397915 7.00206141] 0.452138258807 [ 0.11334816 0.0890748 ] [ 8.74284567 7.00117066] 0.45193094609 [ 0.11279734 0.08863386] [ 8.74171769 7.00028432] 0.451725657787 [ 0.11224905 0.08819496] [ 8.7405952 6.99940237] 0.451522374723 [ 0.11170329 0.08775807] [ 8.73947817 6.99852479] 0.451321077895 [ 0.11116004 0.08732319] [ 8.73836657 6.99765156] 0.451121748462 [ 0.1106193 0.08689032] [ 8.73726037 6.99678265] 0.450924367756 [ 0.11008106 0.08645944] [ 8.73615956 6.99591806] 0.450728917268 [ 0.10954531 0.08603056] [ 8.73506411 6.99505775] 0.450535378657 [ 0.10901203 0.08560366] [ 8.73397399 6.99420172] 0.450343733742 [ 0.10848122 0.08517873] [ 8.73288918 6.99334993] 0.450153964506 [ 0.10795288 0.08475578] [ 8.73180965 6.99250237] 0.449966053089 [ 0.10742699 0.08433479] [ 8.73073538 6.99165902] 0.449779981792 [ 0.10690354 0.08391575] [ 8.72966634 6.99081987] 0.449595733075 [ 0.10638252 0.08349865] [ 8.72860252 6.98998488] 0.449413289553 [ 0.10586394 0.0830835 ] [ 8.72754388 6.98915405] 0.449232633996 [ 0.10534776 0.08267029] [ 8.7264904 6.98832734] 0.44905374933 [ 0.104834 0.08225899] [ 8.72544206 6.98750475] 0.448876618635 [ 0.10432263 0.08184962] [ 8.72439884 6.98668626] 0.448701225139 [ 0.10381366 0.08144216] [ 8.7233607 6.98587183] 0.448527552225 [ 0.10330706 0.0810366 ] [ 8.72232763 6.98506147] 0.448355583424 [ 0.10280283 0.08063294] [ 8.7212996 6.98425514] 0.448185302415 [ 0.10230097 0.08023117] [ 8.72027659 6.98345283] 0.448016693027 [ 0.10180146 0.07983128] [ 8.71925858 6.98265451] 0.447849739232 [ 0.1013043 0.07943327] [ 8.71824553 6.98186018] 0.447684425149 [ 0.10080947 0.07903712] [ 8.71723744 6.98106981] 0.44752073504 [ 0.10031696 0.07864284] [ 8.71623427 6.98028338] 0.447358653312 [ 0.09982677 0.07825041] [ 8.715236 6.97950088] 0.447198164512 [ 0.0993389 0.07785983] [ 8.71424261 6.97872228] 0.447039253327 [ 0.09885332 0.07747109] [ 8.71325408 6.97794757] 0.446881904585 [ 0.09837003 0.07708417] [ 8.71227038 6.97717673] 0.446726103252 [ 0.09788902 0.07669909] [ 8.71129149 6.97640974] 0.446571834432 [ 0.09741028 0.07631582] [ 8.71031739 6.97564658] 0.446419083363 [ 0.09693381 0.07593436] [ 8.70934805 6.97488723] 0.446267835421 [ 0.09645959 0.07555471] [ 8.70838345 6.97413169] 0.446118076115 [ 0.09598762 0.07517685] [ 8.70742358 6.97337992] 0.445969791085 [ 0.09551788 0.07480078] [ 8.7064684 6.97263191] 0.445822966107 [ 0.09505037 0.07442649] [ 8.70551789 6.97188765] 0.445677587083 [ 0.09458508 0.07405398] [ 8.70457204 6.97114711] 0.445533640049 [ 0.094122 0.07368324] [ 8.70363082 6.97041027] 0.445391111168 [ 0.09366112 0.07331425] [ 8.70269421 6.96967713] 0.445249986729 [ 0.09320243 0.07294702] [ 8.70176219 6.96894766] 0.445110253151 [ 0.09274592 0.07258154] [ 8.70083473 6.96822185] 0.444971896976 [ 0.09229159 0.07221779] [ 8.69991181 6.96749967] 0.444834904871 [ 0.09183942 0.07185578] [ 8.69899342 6.96678111] 0.444699263628 [ 0.09138941 0.07149549] [ 8.69807952 6.96606616] 0.44456496016 [ 0.09094154 0.07113692] [ 8.69717011 6.96535479] 0.444431981501 [ 0.09049581 0.07078006] [ 8.69626515 6.96464699] 0.444300314807 [ 0.09005222 0.0704249 ] [ 8.69536463 6.96394274] 0.444169947353 [ 0.08961074 0.07007144] [ 8.69446852 6.96324202] 0.444040866531 [ 0.08917137 0.06971967] [ 8.69357681 6.96254483] 0.443913059853 [ 0.08873411 0.06936958] [ 8.69268947 6.96185113] 0.443786514946 [ 0.08829894 0.06902117] [ 8.69180648 6.96116092] 0.443661219552 [ 0.08786586 0.06867443] [ 8.69092782 6.96047417] 0.443537161528 [ 0.08743485 0.06832935] [ 8.69005347 6.95979088] 0.443414328845 [ 0.08700591 0.06798592] [ 8.68918341 6.95911102] 0.443292709586 [ 0.08657903 0.06764414] [ 8.68831762 6.95843458] 0.443172291946 [ 0.0861542 0.067304 ] [ 8.68745608 6.95776154] 0.443053064231 [ 0.08573141 0.06696549] [ 8.68659876 6.95709188] 0.442935014856 [ 0.08531066 0.06662861] [ 8.68574566 6.9564256 ] 0.442818132344 [ 0.08489193 0.06629335] [ 8.68489674 6.95576267] 0.442702405329 [ 0.08447522 0.0659597 ] [ 8.68405199 6.95510307] 0.442587822547 [ 0.08406051 0.06562766] [ 8.68321138 6.95444679] 0.442474372846 [ 0.0836478 0.06529722] [ 8.6823749 6.95379382] 0.442362045173 [ 0.08323708 0.06496837] [ 8.68154253 6.95314414] 0.442250828584 [ 0.08282834 0.0646411 ] [ 8.68071425 6.95249772] 0.442140712235 [ 0.08242158 0.06431542] [ 8.67989003 6.95185457] 0.442031685386 [ 0.08201678 0.0639913 ] [ 8.67906986 6.95121466] 0.441923737399 [ 0.08161393 0.06366875] [ 8.67825373 6.95057797] 0.441816857735 [ 0.08121303 0.06334776] [ 8.67744159 6.94994449] 0.441711035956 [ 0.08081408 0.06302832] [ 8.67663345 6.94931421] 0.441606261722 [ 0.08041705 0.06271042] [ 8.67582928 6.9486871 ] 0.441502524791 [ 0.08002194 0.06239407] [ 8.67502906 6.94806316] 0.441399815019 [ 0.07962875 0.06207924] [ 8.67423278 6.94744237] 0.441298122358 [ 0.07923746 0.06176594] [ 8.6734404 6.94682471] 0.441197436854 [ 0.07884807 0.06145415] [ 8.67265192 6.94621017] 0.44109774865 [ 0.07846057 0.06114388] [ 8.67186732 6.94559873] 0.44099904798 [ 0.07807495 0.06083511] [ 8.67108657 6.94499038] 0.440901325174 [ 0.0776912 0.06052783] [ 8.67030965 6.9443851 ] 0.440804570651 [ 0.07730931 0.06022205] [ 8.66953656 6.94378288] 0.440708774924 [ 0.07692928 0.05991776] [ 8.66876727 6.9431837 ] 0.440613928594 [ 0.07655109 0.05961494] [ 8.66800176 6.94258756] 0.440520022354 [ 0.07617475 0.05931359] [ 8.66724001 6.94199442] 0.440427046983 [ 0.07580023 0.05901371] [ 8.66648201 6.94140428] 0.440334993351 [ 0.07542754 0.05871529] [ 8.66572773 6.94081713] 0.440243852413 [ 0.07505666 0.05841831] [ 8.66497717 6.94023295] 0.440153615213 [ 0.07468759 0.05812279] [ 8.66423029 6.93965172] 0.440064272878 [ 0.07432032 0.0578287 ] [ 8.66348709 6.93907343] 0.439975816621 [ 0.07395484 0.05753604] [ 8.66274754 6.93849807] 0.43988823774 [ 0.07359114 0.05724482] [ 8.66201163 6.93792562] 0.439801527615 [ 0.07322921 0.05695501] [ 8.66127933 6.93735607] 0.439715677709 [ 0.07286905 0.05666661] [ 8.66055064 6.93678941] 0.439630679569 [ 0.07251065 0.05637962] [ 8.65982554 6.93622561] 0.439546524819 [ 0.072154 0.05609403] [ 8.659104 6.93566467] 0.439463205168 [ 0.07179909 0.05580984] [ 8.65838601 6.93510657] 0.439380712401 [ 0.07144591 0.05552703] [ 8.65767155 6.9345513 ] 0.439299038385 [ 0.07109446 0.0552456 ] [ 8.6569606 6.93399885] 0.439218175062 [ 0.07074474 0.05496555] [ 8.65625316 6.93344919] 0.439138114455 [ 0.07039672 0.05468687] [ 8.65554919 6.93290232] 0.439058848661 [ 0.0700504 0.05440955] [ 8.65484868 6.93235823] 0.438980369855 [ 0.06970578 0.05413359] [ 8.65415163 6.93181689] 0.438902670287 [ 0.06936285 0.05385898] [ 8.653458 6.9312783] 0.43882574228 [ 0.06902159 0.05358571] [ 8.65276778 6.93074244] 0.438749578234 [ 0.06868201 0.05331378] [ 8.65208096 6.9302093 ] 0.438674170621 [ 0.0683441 0.05304319] [ 8.65139752 6.92967887] 0.438599511985 [ 0.06800784 0.05277392] [ 8.65071744 6.92915113] 0.438525594942 [ 0.06767323 0.05250596] [ 8.65004071 6.92862607] 0.438452412182 [ 0.06734026 0.05223933] [ 8.64936731 6.92810368] 0.438379956462 [ 0.06700893 0.051974 ] [ 8.64869722 6.92758394] 0.438308220612 [ 0.06667922 0.05170997] [ 8.64803043 6.92706684] 0.43823719753 [ 0.06635113 0.05144724] [ 8.64736691 6.92655237] 0.438166880182 [ 0.06602466 0.05118579] [ 8.64670667 6.92604051] 0.438097261605 [ 0.06569978 0.05092563] [ 8.64604967 6.92553125] 0.438028334901 [ 0.06537651 0.05066675] [ 8.64539591 6.92502459] 0.437960093239 [ 0.06505482 0.05040914] [ 8.64474536 6.9245205 ] 0.437892529855 [ 0.06473472 0.0501528 ] [ 8.64409801 6.92401897] 0.437825638051 [ 0.06441619 0.04989771] [ 8.64345385 6.92351999] 0.437759411194 [ 0.06409923 0.04964388] [ 8.64281286 6.92302355] 0.437693842713 [ 0.06378382 0.0493913 ] [ 8.64217502 6.92252964] 0.437628926105 [ 0.06346997 0.04913996] [ 8.64154032 6.92203824] 0.437564654927 [ 0.06315767 0.04888986] [ 8.64090874 6.92154934] 0.4375010228 [ 0.0628469 0.04864099] [ 8.64028027 6.92106293] 0.437438023406 [ 0.06253767 0.04839334] [ 8.6396549 6.920579 ] 0.437375650489 [ 0.06222996 0.04814692] [ 8.6390326 6.92009753] 0.437313897856 [ 0.06192377 0.04790171] [ 8.63841336 6.91961851] 0.43725275937 [ 0.06161908 0.0476577 ] [ 8.63779717 6.91914193] 0.437192228958 [ 0.0613159 0.0474149] [ 8.63718401 6.91866778] 0.437132300604 [ 0.06101421 0.04717329] [ 8.63657387 6.91819605] 0.437072968351 [ 0.06071402 0.04693288] [ 8.63596673 6.91772672] 0.437014226299 [ 0.0604153 0.04669365] [ 8.63536257 6.91725979] 0.436956068608 [ 0.06011806 0.0464556 ] [ 8.63476139 6.91679523] 0.436898489493 [ 0.05982229 0.04621873] [ 8.63416317 6.91633304] 0.436841483227 [ 0.05952797 0.04598302] [ 8.63356789 6.91587321] 0.436785044137 [ 0.05923511 0.04574848] [ 8.63297554 6.91541573] 0.436729166607 [ 0.0589437 0.0455151] [ 8.6323861 6.91496058] 0.436673845076 [ 0.05865373 0.04528287] [ 8.63179956 6.91450775] 0.436619074035 [ 0.05836519 0.04505178] [ 8.63121591 6.91405723] 0.436564848033 [ 0.05807808 0.04482184] [ 8.63063513 6.91360901] 0.436511161668 [ 0.05779238 0.04459303] [ 8.63005721 6.91316308] 0.436458009593 [ 0.05750811 0.04436536] [ 8.62948213 6.91271943] 0.436405386514 [ 0.05722523 0.04413881] [ 8.62890987 6.91227804] 0.436353287187 [ 0.05694376 0.04391338] [ 8.62834044 6.91183891] 0.43630170642 [ 0.05666368 0.04368906] [ 8.6277738 6.91140202] 0.436250639074 [ 0.05638498 0.04346585] [ 8.62720995 6.91096736] 0.436200080057 [ 0.05610767 0.04324375] [ 8.62664887 6.91053492] 0.436150024328 [ 0.05583173 0.04302275] [ 8.62609056 6.91010469] 0.436100466897 [ 0.05555715 0.04280284] [ 8.62553498 6.90967666] 0.436051402821 [ 0.05528394 0.04258402] [ 8.62498215 6.90925082] 0.436002827206 [ 0.05501207 0.04236628] [ 8.62443202 6.90882716] 0.435954735207 [ 0.05474156 0.04214962] [ 8.62388461 6.90840566] 0.435907122026 [ 0.05447239 0.04193403] [ 8.62333989 6.90798632] 0.435859982911 [ 0.05420455 0.04171952] [ 8.62279784 6.90756913] 0.435813313158 [ 0.05393804 0.04150606] [ 8.62225846 6.90715407] 0.435767108109 [ 0.05367285 0.04129366] [ 8.62172173 6.90674113] 0.43572136315 [ 0.05340897 0.04108231] [ 8.62118764 6.90633031] 0.435676073716 [ 0.05314641 0.04087202] [ 8.62065618 6.90592159] 0.435631235284 [ 0.05288514 0.04066276] [ 8.62012733 6.90551496] 0.435586843376 [ 0.05262518 0.04045454] [ 8.61960107 6.90511042] 0.435542893558 [ 0.0523665 0.04024735] [ 8.61907741 6.90470794] 0.43549938144 [ 0.05210911 0.0400412 ] [ 8.61855632 6.90430753] 0.435456302676 [ 0.05185299 0.03983606] [ 8.61803779 6.90390917] 0.43541365296 [ 0.05159815 0.03963194] [ 8.61752181 6.90351285] 0.435371428032 [ 0.05134457 0.03942884] [ 8.61700836 6.90311856] 0.435329623671 [ 0.05109225 0.03922674] [ 8.61649744 6.90272629] 0.435288235699 [ 0.05084119 0.03902564] [ 8.61598903 6.90233604] 0.435247259979 [ 0.05059137 0.03882555] [ 8.61548311 6.90194778] 0.435206692414 [ 0.05034279 0.03862644] [ 8.61497968 6.90156152] 0.435166528949 [ 0.05009545 0.03842833] [ 8.61447873 6.90117724] 0.435126765567 [ 0.04984934 0.0382312 ] [ 8.61398024 6.90079492] 0.435087398293 [ 0.04960445 0.03803505] [ 8.61348419 6.90041457] 0.435048423188 [ 0.04936078 0.03783987] [ 8.61299058 6.90003617] 0.435009836354 [ 0.04911832 0.03764566] [ 8.6124994 6.89965972] 0.434971633932 [ 0.04887706 0.03745242] [ 8.61201063 6.89928519] 0.434933812099 [ 0.04863701 0.03726013] [ 8.61152426 6.89891259] 0.434896367072 [ 0.04839814 0.03706881] [ 8.61104028 6.8985419 ] 0.434859295103 [ 0.04816047 0.03687843] [ 8.61055867 6.89817312] 0.434822592482 [ 0.04792398 0.036689 ] [ 8.61007944 6.89780623] 0.434786255537 [ 0.04768867 0.03650051] [ 8.60960255 6.89744122] 0.434750280631 [ 0.04745453 0.03631296] [ 8.609128 6.89707809] 0.434714664162 [ 0.04722155 0.03612634] [ 8.60865579 6.89671683] 0.434679402565 [ 0.04698973 0.03594065] [ 8.60818589 6.89635742] 0.43464449231 [ 0.04675907 0.03575588] [ 8.6077183 6.89599987] 0.434609929901 [ 0.04652955 0.03557204] [ 8.607253 6.89564415] 0.434575711878 [ 0.04630118 0.0353891 ] [ 8.60678999 6.89529025] 0.434541834814 [ 0.04607394 0.03520708] [ 8.60632925 6.89493818] 0.434508295316 [ 0.04584784 0.03502596] [ 8.60587077 6.89458792] 0.434475090026 [ 0.04562286 0.03484575] [ 8.60541455 6.89423947] 0.434442215617 [ 0.045399 0.03466643] [ 8.60496056 6.8938928 ] 0.434409668797 [ 0.04517626 0.034488 ] [ 8.60450879 6.89354792] 0.434377446304 [ 0.04495463 0.03431046] [ 8.60405925 6.89320482] 0.434345544911 [ 0.0447341 0.03413381] [ 8.60361191 6.89286348] 0.434313961421 [ 0.04451467 0.03395803] [ 8.60316676 6.8925239 ] 0.43428269267 [ 0.04429634 0.03378313] [ 8.6027238 6.89218607] 0.434251735525 [ 0.04407909 0.03360911] [ 8.602283 6.89184998] 0.434221086883 [ 0.04386293 0.03343594] [ 8.60184438 6.89151562] 0.434190743673 [ 0.04364784 0.03326364] [ 8.6014079 6.89118298] 0.434160702854 [ 0.04343383 0.0330922 ] [ 8.60097356 6.89085206] 0.434130961414 [ 0.04322088 0.03292162] [ 8.60054135 6.89052284] 0.434101516373 [ 0.04300899 0.03275188] [ 8.60011126 6.89019532] 0.434072364778 [ 0.04279816 0.03258299] [ 8.59968328 6.88986949] 0.434043503708 [ 0.04258839 0.03241494] [ 8.59925739 6.88954534] 0.43401493027 [ 0.04237965 0.03224772] [ 8.5988336 6.88922287] 0.433986641597 [ 0.04217196 0.03208134] [ 8.59841188 6.88890205] 0.433958634855 [ 0.04196531 0.03191579] [ 8.59799223 6.8885829 ] 0.433930907234 [ 0.04175969 0.03175107] [ 8.59757463 6.88826539] 0.433903455955 [ 0.04155509 0.03158717] [ 8.59715908 6.88794951] 0.433876278265 [ 0.04135151 0.03142408] [ 8.59674556 6.88763527] 0.433849371437 [ 0.04114895 0.03126181] [ 8.59633407 6.88732266] 0.433822732774 [ 0.0409474 0.03110034] [ 8.5959246 6.88701165] 0.433796359605 [ 0.04074686 0.03093968] [ 8.59551713 6.88670225] 0.433770249283 [ 0.04054732 0.03077982] [ 8.59511166 6.88639446] 0.433744399189 [ 0.04034877 0.03062076] [ 8.59470817 6.88608825] 0.433718806732 [ 0.04015122 0.03046249] [ 8.59430666 6.88578362] 0.433693469343 [ 0.03995465 0.03030502] [ 8.59390711 6.88548057] 0.433668384482 [ 0.03975906 0.03014832] [ 8.59350952 6.88517909] 0.43364354963 [ 0.03956445 0.02999241] [ 8.59311388 6.88487917] 0.433618962298 [ 0.03937081 0.02983728] [ 8.59272017 6.88458079] 0.433594620018 [ 0.03917814 0.02968292] [ 8.59232839 6.88428396] 0.433570520348 [ 0.03898642 0.02952933] [ 8.59193852 6.88398867] 0.433546660869 [ 0.03879567 0.02937651] [ 8.59155057 6.88369491] 0.433523039188 [ 0.03860587 0.02922445] [ 8.59116451 6.88340266] 0.433499652935 [ 0.03841702 0.02907314] [ 8.59078034 6.88311193] 0.433476499763 [ 0.03822911 0.0289226 ] [ 8.59039805 6.8828227 ] 0.433453577348 [ 0.03804214 0.0287728 ] [ 8.59001762 6.88253498] 0.433430883391 [ 0.0378561 0.02862376] [ 8.58963906 6.88224874] 0.433408415613 [ 0.037671 0.02847545] [ 8.58926235 6.88196398] 0.433386171761 [ 0.03748681 0.02832789] [ 8.58888748 6.88168071] 0.433364149601 [ 0.03730355 0.02818106] [ 8.58851445 6.88139889] 0.433342346923 [ 0.03712121 0.02803497] [ 8.58814324 6.88111855] 0.43332076154 [ 0.03693977 0.0278896 ] [ 8.58777384 6.88083965] 0.433299391284 [ 0.03675924 0.02774497] [ 8.58740625 6.8805622 ] 0.433278234012 [ 0.03657962 0.02760105] [ 8.58704045 6.88028619] 0.433257287598 [ 0.03640089 0.02745785] [ 8.58667644 6.88001161] 0.433236549941 [ 0.03622306 0.02731537] [ 8.58631421 6.87973846] 0.43321601896 [ 0.03604611 0.0271736 ] [ 8.58595375 6.87946672] 0.433195692593 [ 0.03587005 0.02703253] [ 8.58559505 6.8791964 ] 0.433175568799 [ 0.03569487 0.02689218] [ 8.5852381 6.87892747] 0.43315564556 [ 0.03552056 0.02675252] [ 8.5848829 6.87865995] 0.433135920874 [ 0.03534713 0.02661356] [ 8.58452942 6.87839381] 0.433116392763 [ 0.03517456 0.02647529] [ 8.58417768 6.87812906] 0.433097059264 [ 0.03500286 0.02633772] [ 8.58382765 6.87786568] 0.433077918438 [ 0.03483201 0.02620083] [ 8.58347933 6.87760367] 0.433058968363 [ 0.03466202 0.02606462] [ 8.58313271 6.87734303] 0.433040207137 [ 0.03449288 0.0259291 ] [ 8.58278778 6.87708374] 0.433021632876 [ 0.03432458 0.02579425] [ 8.58244454 6.87682579] 0.433003243715 [ 0.03415713 0.02566008] [ 8.58210296 6.87656919] 0.432985037808 [ 0.03399051 0.02552658] [ 8.58176306 6.87631393] 0.432967013327 [ 0.03382473 0.02539374] [ 8.58142481 6.87605999] 0.432949168463 [ 0.03365977 0.02526157] [ 8.58108821 6.87580737] 0.432931501424 [ 0.03349565 0.02513006] [ 8.58075326 6.87555607] 0.432914010436 [ 0.03333234 0.0249992 ] [ 8.58041993 6.87530608] 0.432896693743 [ 0.03316985 0.024869 ] [ 8.58008824 6.87505739] 0.432879549607 [ 0.03300817 0.02473945] [ 8.57975815 6.87481 ] 0.432862576306 [ 0.0328473 0.02461055] [ 8.57942968 6.87456389] 0.432845772136 [ 0.03268723 0.02448229] [ 8.57910281 6.87431907] 0.43282913541 [ 0.03252797 0.02435467] [ 8.57877753 6.87407552] 0.432812664457 [ 0.0323695 0.02422769] [ 8.57845383 6.87383325] 0.432796357624 [ 0.03221183 0.02410135] [ 8.57813172 6.87359223] 0.432780213274 [ 0.03205494 0.02397563] [ 8.57781117 6.87335248] 0.432764229785 [ 0.03189884 0.02385055] [ 8.57749218 6.87311397] 0.432748405552 [ 0.03174352 0.02372609] [ 8.57717474 6.87287671] 0.432732738988 [ 0.03158898 0.02360225] [ 8.57685885 6.87264069] 0.432717228518 [ 0.03143521 0.02347903] [ 8.5765445 6.8724059] 0.432701872585 [ 0.03128221 0.02335643] [ 8.57623168 6.87217233] 0.432686669649 [ 0.03112998 0.02323444] [ 8.57592038 6.87193999] 0.432671618181 [ 0.0309785 0.02311306] [ 8.57561059 6.87170886] 0.432656716672 [ 0.03082779 0.02299229] [ 8.57530232 6.87147893] 0.432641963624 [ 0.03067783 0.02287212] [ 8.57499554 6.87125021] 0.432627357557 [ 0.03052862 0.02275255] [ 8.57469025 6.87102269] 0.432612897004 [ 0.03038016 0.02263358] [ 8.57438645 6.87079635] 0.432598580513 [ 0.03023244 0.0225152 ] [ 8.57408413 6.8705712 ] 0.432584406647 [ 0.03008545 0.02239742] [ 8.57378327 6.87034723] 0.432570373983 [ 0.02993921 0.02228022] [ 8.57348388 6.87012442] 0.432556481111 [ 0.0297937 0.02216361] [ 8.57318594 6.86990279] 0.432542726637 [ 0.02964891 0.02204758] [ 8.57288945 6.86968231] 0.43252910918 [ 0.02950485 0.02193214] [ 8.5725944 6.86946299] 0.432515627373 [ 0.02936151 0.02181727] [ 8.57230079 6.86924482] 0.432502279862 [ 0.02921889 0.02170297] [ 8.5720086 6.86902779] 0.432489065308 [ 0.02907698 0.02158925] [ 8.57171783 6.8688119 ] 0.432475982382 [ 0.02893579 0.0214761 ] [ 8.57142847 6.86859713] 0.432463029773 [ 0.0287953 0.02136351] [ 8.57114052 6.8683835 ] 0.43245020618 [ 0.02865551 0.02125148] [ 8.57085396 6.86817098] 0.432437510314 [ 0.02851642 0.02114002] [ 8.5705688 6.86795958] 0.432424940903 [ 0.02837803 0.02102911] [ 8.57028502 6.86774929] 0.432412496683 [ 0.02824033 0.02091875] [ 8.57000262 6.86754011] 0.432400176406 [ 0.02810333 0.02080895] [ 8.56972158 6.86733202] 0.432387978834 [ 0.027967 0.0206997] [ 8.56944191 6.86712502] 0.432375902744 [ 0.02783136 0.02059099] [ 8.5691636 6.86691911] 0.432363946923 [ 0.0276964 0.02048283] [ 8.56888664 6.86671428] 0.432352110171 [ 0.02756212 0.02037521] [ 8.56861101 6.86651053] 0.432340391299 [ 0.0274285 0.02026813] [ 8.56833673 6.86630785] 0.432328789132 [ 0.02729556 0.02016158] [ 8.56806377 6.86610623] 0.432317302504 [ 0.02716328 0.02005556] [ 8.56779214 6.86590568] 0.432305930264 [ 0.02703166 0.01995008] [ 8.56752182 6.86570618] 0.432294671268 [ 0.02690071 0.01984512] [ 8.56725282 6.86550772] 0.432283524387 [ 0.0267704 0.01974069] [ 8.56698511 6.86531032] 0.432272488503 [ 0.02664076 0.01963678] [ 8.56671871 6.86511395] 0.432261562507 [ 0.02651176 0.01953339] [ 8.56645359 6.86491862] 0.432250745304 [ 0.0263834 0.01943052] [ 8.56618975 6.86472431] 0.432240035806 [ 0.02625569 0.01932816] [ 8.5659272 6.86453103] 0.43222943294 [ 0.02612862 0.01922631] [ 8.56566591 6.86433877] 0.432218935642 [ 0.02600218 0.01912498] [ 8.56540589 6.86414752] 0.432208542857 [ 0.02587638 0.01902415] [ 8.56514713 6.86395727] 0.432198253543 [ 0.02575121 0.01892382] [ 8.56488961 6.86376804] 0.432188066668 [ 0.02562666 0.018824 ] [ 8.56463335 6.8635798 ] 0.432177981208 [ 0.02550274 0.01872467] [ 8.56437832 6.86339255] 0.432167996153 [ 0.02537944 0.01862584] [ 8.56412452 6.86320629] 0.432158110499 [ 0.02525676 0.01852751] [ 8.56387196 6.86302102] 0.432148323255 [ 0.02513469 0.01842967] [ 8.56362061 6.86283672] 0.432138633439 [ 0.02501323 0.01833231] [ 8.56337048 6.8626534 ] 0.432129040079 [ 0.02489238 0.01823545] [ 8.56312155 6.86247104] 0.432119542211 [ 0.02477213 0.01813907] [ 8.56287383 6.86228965] 0.432110138884 [ 0.02465249 0.01804317] [ 8.56262731 6.86210922] 0.432100829153 [ 0.02453345 0.01794775] [ 8.56238197 6.86192974] 0.432091612085 [ 0.024415 0.01785281] [ 8.56213782 6.86175121] 0.432082486755 [ 0.02429715 0.01775834] [ 8.56189485 6.86157363] 0.432073452247 [ 0.02417988 0.01766435] [ 8.56165305 6.86139699] 0.432064507655 [ 0.0240632 0.01757082] [ 8.56141242 6.86122128] 0.432055652081 [ 0.02394711 0.01747777] [ 8.56117295 6.8610465 ] 0.432046884638 [ 0.0238316 0.01738518] [ 8.56093463 6.86087265] 0.432038204445 [ 0.02371667 0.01729305] [ 8.56069747 6.86069972] 0.432029610633 [ 0.02360231 0.01720138] [ 8.56046144 6.86052771] 0.432021102339 [ 0.02348853 0.01711017] [ 8.56022656 6.8603566 ] 0.432012678709 [ 0.02337531 0.01701942] [ 8.55999281 6.86018641] 0.432004338899 [ 0.02326267 0.01692912] [ 8.55976018 6.86001712] 0.431996082073 [ 0.02315058 0.01683928] [ 8.55952867 6.85984873] 0.431987907401 [ 0.02303906 0.01674988] [ 8.55929828 6.85968123] 0.431979814065 [ 0.0229281 0.01666093] [ 8.559069 6.85951462] 0.431971801253 [ 0.02281769 0.01657242] [ 8.55884082 6.85934889] 0.43196386816 [ 0.02270784 0.01648436] [ 8.55861375 6.85918405] 0.431956013993 [ 0.02259853 0.01639674] [ 8.55838776 6.85902008] 0.431948237962 [ 0.02248977 0.01630956] [ 8.55816286 6.85885699] 0.431940539288 [ 0.02238156 0.01622281] [ 8.55793905 6.85869476] 0.4319329172 [ 0.02227389 0.0161365 ] [ 8.55771631 6.85853339] 0.431925370933 [ 0.02216676 0.01605061] [ 8.55749464 6.85837289] 0.43191789973 [ 0.02206017 0.01596516] [ 8.55727404 6.85821324] 0.431910502842 [ 0.02195411 0.01588014] [ 8.5570545 6.85805443] 0.431903179528 [ 0.02184858 0.01579554] [ 8.55683601 6.85789648] 0.431895929054 [ 0.02174358 0.01571136] [ 8.55661858 6.85773937] 0.431888750693 [ 0.0216391 0.01562761] [ 8.55640219 6.85758309] 0.431881643725 [ 0.02153515 0.01554427] [ 8.55618683 6.85742765] 0.431874607437 [ 0.02143172 0.01546135] [ 8.55597252 6.85727303] 0.431867641125 [ 0.0213288 0.01537885] [ 8.55575923 6.85711924] 0.43186074409 [ 0.02122641 0.01529675] [ 8.55554697 6.85696628] 0.431853915641 [ 0.02112452 0.01521507] [ 8.55533572 6.85681413] 0.431847155093 [ 0.02102315 0.0151338 ] [ 8.55512549 6.85666279] 0.431840461769 [ 0.02092228 0.01505293] [ 8.55491627 6.85651226] 0.431833834999 [ 0.02082192 0.01497247] [ 8.55470805 6.85636253] 0.431827274117 [ 0.02072206 0.01489241] [ 8.55450083 6.85621361] 0.431820778467 [ 0.0206227 0.01481275] [ 8.5542946 6.85606548] 0.431814347398 [ 0.02052384 0.01473349] [ 8.55408936 6.85591815] 0.431807980265 [ 0.02042547 0.01465463] [ 8.55388511 6.8557716 ] 0.431801676431 [ 0.0203276 0.01457616] [ 8.55368183 6.85562584] 0.431795435263 [ 0.02023021 0.01449808] [ 8.55347953 6.85548086] 0.431789256137 [ 0.02013332 0.01442039] [ 8.55327819 6.85533666] 0.431783138433 [ 0.02003691 0.0143431 ] [ 8.55307783 6.85519322] 0.431777081538 [ 0.01994098 0.01426618] [ 8.55287842 6.85505056] 0.431771084846 [ 0.01984553 0.01418966] [ 8.55267996 6.85490867] 0.431765147757 [ 0.01975056 0.01411351] [ 8.55248245 6.85476753] 0.431759269675 [ 0.01965607 0.01403775] [ 8.55228589 6.85462715] 0.431753450011 [ 0.01956205 0.01396236] [ 8.55209027 6.85448753] 0.431747688183 [ 0.0194685 0.01388736] [ 8.55189559 6.85434866] 0.431741983614 [ 0.01937542 0.01381273] [ 8.55170183 6.85421053] 0.431736335732 [ 0.0192828 0.01373847] [ 8.55150901 6.85407314] 0.431730743973 [ 0.01919065 0.01366458] [ 8.5513171 6.8539365] 0.431725207775 [ 0.01909896 0.01359106] [ 8.55112611 6.85380059] 0.431719726584 [ 0.01900773 0.01351791] [ 8.55093603 6.85366541] 0.431714299852 [ 0.01891696 0.01344512] [ 8.55074686 6.85353096] 0.431708927036 [ 0.01882664 0.0133727 ] [ 8.5505586 6.85339723] 0.431703607597 [ 0.01873677 0.01330065] [ 8.55037123 6.85326422] 0.431698341003 [ 0.01864736 0.01322895] [ 8.55018476 6.85313193] 0.431693126727 [ 0.01855839 0.01315761] [ 8.54999917 6.85300036] 0.431687964246 [ 0.01846987 0.01308663] [ 8.54981447 6.85286949] 0.431682853044 [ 0.01838179 0.013016 ] [ 8.54963066 6.85273933] 0.43167779261 [ 0.01829415 0.01294572] [ 8.54944771 6.85260987] 0.431672782437 [ 0.01820695 0.0128758 ] [ 8.54926564 6.85248112] 0.431667822023 [ 0.01812018 0.01280623] [ 8.54908444 6.85235305] 0.431662910872 [ 0.01803386 0.012737 ] [ 8.5489041 6.85222568] 0.431658048492 [ 0.01794796 0.01266812] [ 8.54872462 6.852099 ] 0.431653234398 [ 0.01786249 0.01259959] [ 8.548546 6.85197301] 0.431648468107 [ 0.01777745 0.01253139] [ 8.54836822 6.85184769] 0.431643749142 [ 0.01769284 0.01246354] [ 8.5481913 6.85172306] 0.431639077032 [ 0.01760865 0.01239603] [ 8.54801521 6.8515991 ] 0.431634451308 [ 0.01752489 0.01232885] [ 8.54783996 6.85147581] 0.431629871509 [ 0.01744154 0.01226202] [ 8.54766555 6.85135319] 0.431625337175 [ 0.01735861 0.01219551] [ 8.54749196 6.85123123] 0.431620847854 [ 0.01727609 0.01212934] [ 8.5473192 6.85110994] 0.431616403097 [ 0.01719399 0.0120635 ] [ 8.54714726 6.85098931] 0.431612002458 [ 0.0171123 0.01199799] [ 8.54697614 6.85086933] 0.431607645498 [ 0.01703102 0.0119328 ] [ 8.54680583 6.85075 ] 0.431603331781 [ 0.01695014 0.01186794] [ 8.54663632 6.85063132] 0.431599060876 [ 0.01686967 0.01180341] [ 8.54646763 6.85051328] 0.431594832355 [ 0.01678961 0.0117392 ] [ 8.54629973 6.85039589] 0.431590645796 [ 0.01670994 0.01167531] [ 8.54613263 6.85027914] 0.43158650078 [ 0.01663067 0.01161174] [ 8.54596632 6.85016302] 0.431582396894 [ 0.0165518 0.01154848] [ 8.54580081 6.85004754] 0.431578333725 [ 0.01647333 0.01148555] [ 8.54563607 6.84993268] 0.43157431087 [ 0.01639525 0.01142292] [ 8.54547212 6.84981845] 0.431570327924 [ 0.01631756 0.01136061] [ 8.54530895 6.84970485] 0.431566384491 [ 0.01624025 0.01129862] [ 8.54514654 6.84959186] 0.431562480176 [ 0.01616334 0.01123693] [ 8.54498491 6.84947949] 0.431558614589 [ 0.01608681 0.01117555] [ 8.54482404 6.84936774] 0.431554787343 [ 0.01601066 0.01111448] [ 8.54466393 6.84925659] 0.431550998057 [ 0.0159349 0.01105371] [ 8.54450459 6.84914605] 0.431547246352 [ 0.01585951 0.01099325] [ 8.54434599 6.84903612] 0.431543531852 [ 0.0157845 0.01093308] [ 8.54418815 6.84892679] 0.431539854187 [ 0.01570987 0.01087322] [ 8.54403105 6.84881806] 0.431536212989 [ 0.01563561 0.01081366] [ 8.54387469 6.84870992] 0.431532607894 [ 0.01556172 0.0107544 ] [ 8.54371907 6.84860238] 0.431529038544 [ 0.0154882 0.01069543] [ 8.54356419 6.84849542] 0.43152550458 [ 0.01541505 0.01063676] [ 8.54341004 6.84838906] 0.43152200565 [ 0.01534227 0.01057838] [ 8.54325662 6.84828327] 0.431518541405 [ 0.01526985 0.01052029] [ 8.54310392 6.84817807] 0.431515111499 [ 0.01519779 0.01046249] [ 8.54295194 6.84807344] 0.431511715589 [ 0.0151261 0.01040499] [ 8.54280068 6.84796939] 0.431508353336 [ 0.01505476 0.01034777] [ 8.54265013 6.84786592] 0.431505024404 [ 0.01498378 0.01029083] [ 8.5425003 6.84776301] 0.431501728462 [ 0.01491315 0.01023418] [ 8.54235116 6.84766067] 0.43149846518 [ 0.01484288 0.01017781] [ 8.54220274 6.84755889] 0.431495234233 [ 0.01477296 0.01012173] [ 8.54205501 6.84745767] 0.431492035297 [ 0.0147034 0.01006592] [ 8.54190797 6.84735701] 0.431488868055 [ 0.01463417 0.0100104 ] [ 8.54176163 6.84725691] 0.431485732189 [ 0.0145653 0.00995515] [ 8.54161598 6.84715736] 0.431482627387 [ 0.01449677 0.00990017] [ 8.54147101 6.84705835] 0.431479553339 [ 0.01442858 0.00984548] [ 8.54132672 6.8469599 ] 0.431476509738 [ 0.01436074 0.00979105] [ 8.54118312 6.84686199] 0.431473496281 [ 0.01429323 0.0097369 ] [ 8.54104018 6.84676462] 0.431470512667 [ 0.01422607 0.00968302] [ 8.54089792 6.84666779] 0.431467558599 [ 0.01415923 0.0096294 ] [ 8.54075633 6.8465715 ] 0.431464633782 [ 0.01409274 0.00957606] [ 8.5406154 6.84647574] 0.431461737923 [ 0.01402657 0.00952298] [ 8.54047514 6.84638051] 0.431458870736 [ 0.01396074 0.00947017] [ 8.54033553 6.8462858 ] 0.431456031932 [ 0.01389524 0.00941762] [ 8.54019658 6.84619163] 0.431453221231 [ 0.01383006 0.00936533] [ 8.54005828 6.84609797] 0.43145043835 [ 0.01376521 0.00931331] [ 8.53992063 6.84600484] 0.431447683014 [ 0.01370069 0.00926154] [ 8.53978362 6.84591223] 0.431444954947 [ 0.01363649 0.00921004] [ 8.53964725 6.84582013] 0.431442253877 [ 0.01357261 0.00915879] [ 8.53951153 6.84572854] 0.431439579535 [ 0.01350905 0.00910779] [ 8.53937644 6.84563746] 0.431436931654 [ 0.0134458 0.00905705] [ 8.53924198 6.84554689] 0.431434309972 [ 0.01338288 0.00900657] [ 8.53910815 6.84545682] 0.431431714226 [ 0.01332027 0.00895634] [ 8.53897495 6.84536726] 0.431429144158 [ 0.01325797 0.00890636] [ 8.53884237 6.8452782 ] 0.431426599512 [ 0.01319599 0.00885662] [ 8.53871041 6.84518963] 0.431424080035 [ 0.01313431 0.00880714] [ 8.53857906 6.84510156] 0.431421585474 [ 0.01307294 0.0087579 ] [ 8.53844834 6.84501398] 0.431419115583 [ 0.01301188 0.00870891] [ 8.53831822 6.84492689] 0.431416670115 [ 0.01295113 0.00866017] [ 8.53818871 6.84484029] 0.431414248827 [ 0.01289068 0.00861167] [ 8.5380598 6.84475417] 0.431411851477 [ 0.01283053 0.00856341] [ 8.53793149 6.84466854] 0.431409477828 [ 0.01277069 0.00851539] [ 8.53780379 6.84458338] 0.431407127641 [ 0.01271114 0.00846761] [ 8.53767667 6.84449871] 0.431404800684 [ 0.01265189 0.00842007] [ 8.53755016 6.84441451] 0.431402496726 [ 0.01259294 0.00837277] [ 8.53742423 6.84433078] 0.431400215536 [ 0.01253428 0.0083257 ] [ 8.53729888 6.84424752] 0.431397956888 [ 0.01247592 0.00827887] [ 8.53717412 6.84416473] 0.431395720557 [ 0.01241785 0.00823227] [ 8.53704995 6.84408241] 0.43139350632 [ 0.01236007 0.00818591] [ 8.53692635 6.84400055] 0.431391313958 [ 0.01230258 0.00813977] [ 8.53680332 6.84391915] 0.431389143252 [ 0.01224537 0.00809387] [ 8.53668087 6.84383822] 0.431386993987 [ 0.01218845 0.0080482 ] [ 8.53655898 6.84375773] 0.431384865948 [ 0.01213182 0.00800275] [ 8.53643766 6.84367771] 0.431382758923 [ 0.01207547 0.00795753] [ 8.53631691 6.84359813] 0.431380672705 [ 0.01201941 0.00791254] [ 8.53619671 6.84351901] 0.431378607084 [ 0.01196362 0.00786777] [ 8.53607708 6.84344033] 0.431376561856 [ 0.01190811 0.00782323] [ 8.535958 6.8433621] 0.431374536818 [ 0.01185288 0.00777891] [ 8.53583947 6.84328431] 0.431372531768 [ 0.01179793 0.00773481] [ 8.53572149 6.84320696] 0.431370546507 [ 0.01174325 0.00769093] [ 8.53560406 6.84313005] 0.431368580837 [ 0.01168884 0.00764727] [ 8.53548717 6.84305358] 0.431366634564 [ 0.01163471 0.00760383] [ 8.53537082 6.84297754] 0.431364707494 [ 0.01158085 0.0075606 ] [ 8.53525501 6.84290193] 0.431362799436 [ 0.01152726 0.00751759] [ 8.53513974 6.84282676] 0.431360910199 [ 0.01147393 0.00747479] [ 8.535025 6.84275201] 0.431359039597 [ 0.01142088 0.00743221] [ 8.53491079 6.84267769] 0.431357187444 [ 0.01136809 0.00738984] [ 8.53479711 6.84260379] 0.431355353556 [ 0.01131556 0.00734769] [ 8.53468396 6.84253031] 0.431353537751 [ 0.01126329 0.00730574] [ 8.53457132 6.84245725] 0.431351739848 [ 0.01121129 0.007264 ] [ 8.53445921 6.84238461] 0.431349959669 [ 0.01115955 0.00722247] [ 8.53434761 6.84231239] 0.431348197038 [ 0.01110806 0.00718115] [ 8.53423653 6.84224058] 0.431346451779 [ 0.01105684 0.00714004] [ 8.53412596 6.84216918] 0.431344723719 [ 0.01100587 0.00709913] [ 8.53401591 6.84209819] 0.431343012688 [ 0.01095515 0.00705842] [ 8.53390635 6.8420276 ] 0.431341318515 [ 0.01090469 0.00701792] [ 8.53379731 6.84195742] 0.431339641032 [ 0.01085448 0.00697762] [ 8.53368876 6.84188765] 0.431337980073 [ 0.01080452 0.00693752] [ 8.53358072 6.84181827] 0.431336335473 [ 0.01075482 0.00689762] [ 8.53347317 6.84174929] 0.431334707069 [ 0.01070536 0.00685792] [ 8.53336612 6.84168072] 0.4313330947 [ 0.01065615 0.00681842] [ 8.53325955 6.84161253] 0.431331498206 [ 0.01060718 0.00677912] [ 8.53315348 6.84154474] 0.431329917429 [ 0.01055846 0.00674001] [ 8.5330479 6.84147734] 0.431328352212 [ 0.01050998 0.0067011 ] [ 8.5329428 6.84141033] 0.431326802399 [ 0.01046175 0.00666238] [ 8.53283818 6.84134371] 0.431325267838 [ 0.01041376 0.00662385] [ 8.53273404 6.84127747] 0.431323748377 [ 0.010366 0.00658552] [ 8.53263038 6.84121161] 0.431322243864 [ 0.01031849 0.00654738] [ 8.5325272 6.84114614] 0.431320754152 [ 0.01027121 0.00650943] [ 8.53242449 6.84108104] 0.431319279092 [ 0.01022418 0.00647166] [ 8.53232224 6.84101633] 0.431317818538 [ 0.01017737 0.00643409] [ 8.53222047 6.84095199] 0.431316372347 [ 0.0101308 0.00639671] [ 8.53211916 6.84088802] 0.431314940374 [ 0.01008446 0.00635951] [ 8.53201832 6.84082442] 0.431313522478 [ 0.01003836 0.00632249] [ 8.53191793 6.8407612 ] 0.431312118519 [ 0.00999248 0.00628566] [ 8.53181801 6.84069834] 0.431310728358 [ 0.00994684 0.00624902] [ 8.53171854 6.84063585] 0.431309351857 [ 0.00990142 0.00621256] [ 8.53161953 6.84057373] 0.431307988881 [ 0.00985623 0.00617628] [ 8.53152096 6.84051196] 0.431306639294 [ 0.00981127 0.00614018] [ 8.53142285 6.84045056] 0.431305302963 [ 0.00976653 0.00610426] [ 8.53132519 6.84038952] 0.431303979757 [ 0.00972202 0.00606852] [ 8.53122797 6.84032883] 0.431302669543 [ 0.00967772 0.00603296] [ 8.53113119 6.8402685 ] 0.431301372193 [ 0.00963365 0.00599758] [ 8.53103485 6.84020853] 0.431300087579 [ 0.0095898 0.00596237] [ 8.53093895 6.8401489 ] 0.431298815573 [ 0.00954617 0.00592734] [ 8.53084349 6.84008963] 0.431297556051 [ 0.00950276 0.00589248] [ 8.53074847 6.84003071] 0.431296308887 [ 0.00945957 0.0058578 ] [ 8.53065387 6.83997213] 0.431295073958 [ 0.00941659 0.00582329] [ 8.5305597 6.8399139] 0.431293851143 [ 0.00937382 0.00578895] [ 8.53046597 6.83985601] 0.431292640321 [ 0.00933127 0.00575479] [ 8.53037265 6.83979846] 0.431291441372 [ 0.00928894 0.00572079] [ 8.53027976 6.83974125] 0.431290254178 [ 0.00924681 0.00568697] [ 8.5301873 6.83968438] 0.431289078623 [ 0.0092049 0.00565331] [ 8.53009525 6.83962785] 0.431287914589 [ 0.00916319 0.00561982] [ 8.53000361 6.83957165] 0.431286761962 [ 0.00912169 0.0055865 ] [ 8.5299124 6.83951578] 0.431285620629 [ 0.0090804 0.00555334] [ 8.52982159 6.83946025] 0.431284490477 [ 0.00903932 0.00552035] [ 8.5297312 6.83940505] 0.431283371394 [ 0.00899844 0.00548753] [ 8.52964122 6.83935017] 0.431282263271 [ 0.00895777 0.00545486] [ 8.52955164 6.83929562] 0.431281165997 [ 0.0089173 0.00542237] [ 8.52946247 6.8392414 ] 0.431280079466 [ 0.00887704 0.00539003] [ 8.52937369 6.8391875 ] 0.431279003569 [ 0.00883697 0.00535785] [ 8.52928532 6.83913392] 0.431277938202 [ 0.00879711 0.00532584] [ 8.52919735 6.83908066] 0.431276883259 [ 0.00875744 0.00529398] [ 8.52910978 6.83902772] 0.431275838636 [ 0.00871797 0.00526229] [ 8.5290226 6.8389751] 0.43127480423 [ 0.0086787 0.00523075] [ 8.52893581 6.83892279] 0.43127377994 [ 0.00863963 0.00519937] [ 8.52884942 6.8388708 ] 0.431272765665 [ 0.00860075 0.00516814] [ 8.52876341 6.83881912] 0.431271761304 [ 0.00856207 0.00513707] [ 8.52867779 6.83876775] 0.43127076676 [ 0.00852358 0.00510616] [ 8.52859255 6.83871669] 0.431269781935 [ 0.00848528 0.0050754 ] [ 8.5285077 6.83866593] 0.431268806731 [ 0.00844718 0.0050448 ] [ 8.52842323 6.83861548] 0.431267841053 [ 0.00840926 0.00501434] [ 8.52833914 6.83856534] 0.431266884806 [ 0.00837154 0.00498404] [ 8.52825542 6.8385155 ] 0.431265937896 [ 0.008334 0.00495389] [ 8.52817208 6.83846596] 0.43126500023 [ 0.00829665 0.00492389] [ 8.52808911 6.83841672] 0.431264071715 [ 0.00825949 0.00489404] [ 8.52800652 6.83836778] 0.431263152262 [ 0.00822251 0.00486434] [ 8.52792429 6.83831914] 0.431262241778 [ 0.00818572 0.00483479] [ 8.52784244 6.83827079] 0.431261340176 [ 0.00814911 0.00480538] [ 8.52776095 6.83822274] 0.431260447366 [ 0.00811269 0.00477612] [ 8.52767982 6.83817497] 0.431259563261 [ 0.00807644 0.00474701] [ 8.52759905 6.8381275 ] 0.431258687775 [ 0.00804038 0.00471804] [ 8.52751865 6.83808032] 0.431257820821 [ 0.0080045 0.00468922] [ 8.5274386 6.83803343] 0.431256962314 [ 0.0079688 0.00466054] [ 8.52735892 6.83798683] 0.43125611217 [ 0.00793328 0.004632 ] [ 8.52727958 6.83794051] 0.431255270307 [ 0.00789793 0.00460361] [ 8.5272006 6.83789447] 0.431254436641 [ 0.00786276 0.00457535] [ 8.52712198 6.83784872] 0.43125361109 [ 0.00782777 0.00454724] [ 8.5270437 6.83780324] 0.431252793575 [ 0.00779295 0.00451927] [ 8.52696577 6.83775805] 0.431251984014 [ 0.00775831 0.00449144] [ 8.52688819 6.83771314] 0.43125118233 [ 0.00772384 0.00446374] [ 8.52681095 6.8376685 ] 0.431250388442 [ 0.00768954 0.00443619] [ 8.52673405 6.83762414] 0.431249602274 [ 0.00765542 0.00440877] [ 8.5266575 6.83758005] 0.431248823748 [ 0.00762146 0.00438149] [ 8.52658128 6.83753624] 0.43124805279 [ 0.00758768 0.00435434] [ 8.52650541 6.83749269] 0.431247289322 [ 0.00755406 0.00432733] [ 8.52642987 6.83744942] 0.431246533271 [ 0.00752061 0.00430046] [ 8.52635466 6.83740641] 0.431245784562 [ 0.00748733 0.00427372] [ 8.52627979 6.83736368] 0.431245043123 [ 0.00745421 0.00424711] [ 8.52620525 6.83732121] 0.431244308881 [ 0.00742126 0.00422063]
Out[12]:
array([ 8.52620525, 6.83732121])