Commit 1fd06c6a authored by Leon Merten Lohse's avatar Leon Merten Lohse
Browse files

use consistent scaling and implement CS propagator

parent cb594a78
%% Cell type:code id: tags:
``` python
import sys
import numpy as np
import xraylib as xrl
import matplotlib.pyplot as plt
from pathlib import Path
# path to fresnel (adjust if necessary)
sys.path.append(f'{Path.home()}/fresnel/')
import fresnel.solver as solver
```
%% Cell type:code id: tags:
``` python
from platform import python_version
print(python_version())
```
%%%% Output: stream
3.8.7
%% Cell type:code id: tags:
``` python
%matplotlib inline
```
%% Cell type:code id: tags:
``` python
import fresnel.solver as solver
```
%% Cell type:code id: tags:
``` python
#xrl.GetCompoundDataNISTByName("Kapton Polyimide Film")
```
%% Cell type:code id: tags:
``` python
# simulation box
energy = 12. # keV
wavelength = 1.2398 / (energy * 1e3) * 1e-3 # mm
nx = 1010
nz = 530
wg_radius = 25e-6
xtot = 10 * wg_radius # mm
ztot = 0.4 # mm
# units
dx = xtot / nx / wavelength
dz = ztot / nz / wavelength
print(f"dx: {dx}, dz: {dz} wavelengths")
```
%%%% Output: stream
dx: 2.395787247703638, dz: 7304.89092884732 wavelengths
%% Cell type:code id: tags:
``` python
# materials and geometry
density_Ge = xrl.ElementDensity(xrl.SymbolToAtomicNumber('Ge'))
density_Polyimide = 1.42
density_Si = xrl.ElementDensity(xrl.SymbolToAtomicNumber('Si'))
n_Ge = xrl.Refractive_Index('Ge', energy, density_Ge)
n_Si = xrl.Refractive_Index('Si', energy, density_Si)
n_PI = xrl.Refractive_Index('Kapton Polyimide Film', energy, density_Polyimide)
xx = np.linspace(-xtot/2, xtot/2, nx)
core = (np.abs(xx) < wg_radius)
cladding = ~core
refractive_index = n_Ge * cladding + 1 * core
```
%% Cell type:code id: tags:
``` python
boundary = (0, 0,)
u0 = np.exp(-xx**2 / (2 * (2 * wg_radius)**2)).astype(np.complex128)
```
%% Cell type:code id: tags:
``` python
propagator = solver.Propagator2d(refractive_index, u0, dz, dx)
```
%% Cell type:code id: tags:
``` python
field = np.zeros((nz, nx), dtype=np.complex128)
field[0,...] = u0
for iz in range(1, nz):
boundary = (0,0)
field[iz, ...] = propagator.step(refractive_index, boundary)
```
%% Cell type:code id: tags:
``` python
result = field.transpose()
fig, ax = plt.subplots()
im = ax.imshow(np.abs(result[:,:])**2, aspect='auto', clim=(0,3), cmap='jet', extent=[0, ztot, -xtot/2 *1e6, xtot/2 * 1e6])
ax.set_ylim(-2e6 * wg_radius, 2e6 * wg_radius )
fig.colorbar(im)
ax.set_xlabel(r'$z$ (mm)')
ax.set_ylabel(r'$x$ (nm)')
```
%%%% Output: execute_result
Text(0, 0.5, '$x$ (nm)')
%%%% Output: display_data
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXkAAAENCAYAAADqsBXqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOy9bZAsW3aW9+yT2VXV1d339Jxz5t75uDNcWTNhBwIs4TEYix8yYIckKyxHGBwyNpYwYdkERICNPwTYYPxLvzA4BCgmgEAKCD4iJJCCEGFjgcIobMlI40EfjAhNWMPMZWbu1Tnn9pnu211VndnpH3uvvVeu3JlV1V3nnL49uSKqq7oqc+XOnZnvete7V+50TdMw2mijjTba3bR7L7sBo4022mijPT8bQX600UYb7Q7bCPKjjTbaaHfYRpAfbbTRRrvDNoL8aKONNtodthHkRxtttNHusI0gP9poo412S8w5N3PO/T/OuX/inPtF59yfyizjnHP/q3Pus865n3PO/cYhn+Xza+5oo4022mhb2hL4bU3TnDnn9oCfdM79vaZpfkot8y3Ax8PrNwN/IbxnbWTyo4022mi3xBpvZ+HfvfCyd6x+O/CDYdmfAo6dcx/s83nnmLxzjxr4KFADV4DD91GjvpNXTbf/MN/lPq9bZ7TRRntv2JceN03z/pt4+JhzzfmmW4NfBBbqq082TfNJvYxzrgB+FvgY8Oeapvlp4+bDwBfU/2+G776U2+adA3l4A/i/ga+E1xw4By6A0/Auv10AVcbHpfpcZb5ft85oo4323rA/9c9v6uEc+C82XPZ/gkXTNJ8YWqZpmhr4eufcMfC3nXO/rmmaX1CLuNxqff7uuFyz97IbMNpoo91xc3i2vMlrG2ua5gT4CeCbzU9vAh9R/78OfLHPzx0FeenOvfBZg/22jPsOJjujjTbazuwesL/ha505594fGDzOuX3gdwC/ZBb7UeA/DVU2/wbwrGmarFQDdxrB9tT7Reb3nOSi1x3ll9FGG229OXaqGXwQ+IGgy98D/lbTNH/XOfdfAjRN8/3AjwHfCnwWrxb93iGHdxTkJYHqs10D+BgQRhvtq9XWoc021jTNzwHfkPn++9XnBvgDm/q8oyDfZ31gLN0wxO5HG2200bq2Yya/c7t7IC8Vk51u7wPwu9cFo4022ouzXTL552G3uW3XswjykNfWq/BaJ7FsqsuPUs1oo30128jkX5rJrj1PEB4BfrTRvtpNqmtuq909kHedD6ONNtpoz81GJn8r7DK8KvV/zkrWD76Og7OjjTZa224zkN7mtl3PZBSkF4tHiWW00UbbnY1M/laaRIDxpqfRRhvtZjZW17wMazH5Sr2LbDPaaKONthsbB15ftGXD6qY6ul1uZPqjjTbasI1yzYs2KarJ6vI5sB+BfLTRRru+jXLNyzCZ17OCJNHoueB3AepjYBhttNFGJv/ibSyPH2200V6g3XYmf6vmk3fOFc65/9c593fD/w+cc3/fOffL4f19GzlqzdBf0Z7KQBj4bY69o4022nvFhMlv8noZdqtAHvhDwGfU/98D/HjTNB8Hfjz8P2z6MS3RRmlltNFGez7m2N1DQ56H3RqQd869Dvy7wF9UX3878APh8w8A//72ni/Vu77r9SY2Bo3RRhvNmwP2ys1eL8Nuk5T0Z4D/DjhS370mj7VqmuZLzrlXcys6574b+G4A9j56gxLK0UYbbbTtzDkoN0XSlwBFt4LJO+e+DXi7aZqfvc76TdN8smmaTzRN8wnK9yuQb2hX1Vy3h29TLBxttNFukzkHe8Vmr5dhtwW9vhH495xz3wrMgFecc38VeMs598HA4j8IvL3WU6e6xg649kktI9sfbbTRtretmPxLsFvB5Jum+aNN07zeNM0bwHcA/6Bpmv8E/1Ty7wyLfSfwIxs5bFXW6PdRSx9ttNF2a87B3nSz18uwWxx/APhe4G85534f8Hngd61do1W0emleI1sfbbTRdmy3vFD+1jWtaZqfAH4ifH4C/PatHLTkGq3D6/fr7vYYJEYbbTRjI8i/BOtMaTAk1+zqWa+jjTbaV63dYiS9xU27oVXyZ5xieLTRRnuO5oCXVDmzid09kO9U1+yihHK00UYbrcdGueYlWEuuue6sk5s873W00Ub7qjcHvKTKmU3s7oG8MPmOJi+fc9MEjWA+2mijXdNuOZO/FXXyz89yA652Lpshs0fuFh/J0UYb7eWYnhRx3WudK+c+4pz7h865zzjnftE594cyy3yTc+6Zc+7T4fUnhnzePdRyKGIuLH5TPb6P6Y822mijDdjuBl4r4I80TfMp59wR8LPOub/fNM0/Ncv9o6Zpvm0Th3cT5KNpPV4A3+7yy7wbVgeUsfpntNHek7ZDuSZMyCiTMp465z4DfBiwIL+x3WG5RiYnu075ZGk+vwh2rx8rsOtHDLzsxxaMNtodth3KNS23zr0BfAPw05mff4tz7p845/6ec+7rhvzcTSbfqpHfRK65KYsW8NzGTx/g7pnPu2qb/X/XmcPz8jvaaLfctquueeSc+xn1/yebpvlkx6Vzh8APAX+4aZqvmJ8/BfyapmnOwqSOfwf4eN8G7x7IR+u7u1VKI9ft+m0BrZsA/RBz39WdvC8iiIyy1mi32LaTax43TfOJQXfO7eEB/q81TfPD9ncN+k3T/Jhz7s875x41TfM45+9ugnxk8naCsuvYHiko5Hxch3nrdeQQ7LqMcxNp5nkFkJv6HtrGroOI3cYYREbb0naoyTvnHPCXgM80TfOne5b5APBW0zSNc+434WX3J30+7zDItz5c0zTrl8qbigRgN9W4rfZvTdq/LWBu067rgPGm/scgMgaRrwLb7bQG3wj8HuDnnXOfDt/9MeCjAE3TfD/wO4Hf75yrgAvgO5qmafoc3j2Qj9U1djoDAWsBaflNT2Am3bGnPluAtz62tW3W03fdXhfU+g6xDoDPcxK22xhEnneWM7SNXfZ1bhtjEHnhttvqmp8kMzmLWeb7gO/b1OfdA3kwdfL2h+uwXAF4a7lyzKGLOCfT5Jie9rHt9Aq5beTsutM22PZuEkRu4l9v40Xfmfy8gshNs4V1Yy038b3O/xigOjZOa/CyrU+PXwcYupxRGLyw+l1125BccFPGp9vYJxncJFNY1wfPIwvR/+9SytplEHmvS2Xv9QC1bhvPIZDc8mkNbnHTrmmtO177bEhP1wWtfZq8nCi26mNTdqxr79cdAu133YVrfa4r09ymzTn/fdt43lmI9X2TAW/rU+w6QWSTLOcmgWRbifCrbSznRchwGRtB/rbYELBrUEJ91strXV8vsykY5ABy6EYrnTFsC8Z929Omg8aupBv7/TYBStvzCiI5/0PLbAP0m8pYNmu4ToAa8m/747r+7XZy/XyTALjJ8s8zQLGl/zV2i5H0FjdtF7ZHnm3nGFtuPcv8htjftgBcqvc+0xnDNgC5jtH3ge8m4wnW5yZBZBMbavMQMF43y7Hb0LbLIGLPP73MtgQh579v29fNoPr8910z1wmAfdvIBSjW+L9uAcRN11U2PjTkBVtMndYBaJ9ZANYXjT0J5ULN6fS5EzPXnk1OtE0uqtyFuokkpCuLtpFthiQhG0RgO9Dva/cmfbyp9W2jr503HVDX390kiFwny9m07db/UBs2BfpdBKhNz/l1/nO+d2CjXPMSrJQ/GrAvMgsOnZgaJPsYhrVNTiDte5/tD8HQNuw+r9PmtW0CmDm/u7ioNOBuMq7QJ2WtA4NN2q2/31bK2iTL0YFvm7bn/Ocsl+XY73O+bXu3zXK29Z/73cqmQ/6vA/B9vm9oY3XNC7YYVQVAt03JNADnTsJ983+JDyBDd8Xm/Jd0QVMsV+p5HcaXA/o+4NpWGrKBcBPbBiw3yULENg1QsFnw2yaIrAsgObmQHn9DQLatTGbbbv33AXBum5v4zvnM+VkXoMS3rLet/3XbuKkUl7GRyb8Em4HveQF6AQ19gmtA1gOqlmnngF1MnyiSKQxNhqYvUAkifcHEbncTBqLb3qf79wF8X9Zi/fa9a192G5uk9kN+c/veFwiHgLLP7zrttw+IhwB+CIxtH1kgttbncwjM+gbWt/Hft9w2g/Y5gF8nH/ZlI5v6z23D7v8OS6FHkH8JNiOcG/vAnO6Frs1ewBrg5XVBCha2hFKvfzrQKH0hyUv82zbJNs9JQG+re3Ltls8S3MR3bp/1xVOp79eZbGuf7nb7Lnp9mq2TvoYCiN1G3z0Q1veQjLUuAGobAso+v7n2WxsCyz6fm1y6m4Dxujb3rWd9k1luKHjk+rBvbCvnf1Nwz32/bVHAGhtB/gWbAw7D6+QVEpBuIqVAF+Chm65rULQnnrxybFJ+2zcve9FqMD8f8GtNLycBzgJbpb7TvuW3IVlC+7ZZiAZkLWOJX/lefNmMKCdh7avl9bJ9WYL8P8Rw12UK8ltuG30BrC9b6Lu8cv2bA+IhgB/aR219QG9Bcgjs1wFirgRZ+9a/bcLm+ySybfyjvtd9misK2IGN1TUv0O4Bx+F18gpwRAKj3AmuTbN4CRCQwFyfMPLdBYlR7pEf4IU2gxcA00FIti8M1fqpzGvIvwC8DnAagKXd2iQLsReFvehzWUguQMn2JAuyklDuYtS+9f8WkHQQyY2RWKDUwLhJpmBNZ099QKnPnSGQ15mgtRyT7QP4HND3MfYc67b+c1mPtnVZjmzf+tY+7WdrmwYT63vo/0383tBGJv+CzZFAnj0SkGqWqwEI0skvF+lReM3D7w3+BBeNHrpgLOB7QT/Qa4Yt23mF9oUmIPwV2ifqEDiU6l2zbB3gNFuV/dXfyb4NbSOXhVi5KRdEdGCy/i34ykv6yAYogu++IGIzBL0NK2PZTEH7yGUi0AVKfez2zWft267fd470jSfo47ittCL7oPsnB+pDklBu/cvM79r6so8+oM/5HmLeQ5mOtVxmsCMbq2tesN0DHoXXMXDygASk66pWNMDM01c4qPbMug3+Qj0lgb3IH7KtnCShwV1eOaAs8UAvbZRtSBuHLlbJYHSmoIFMg6TWtqXdtp/WZSEWDCwQ2m3Id7pvdACZh/ZrsNRZjs2YNh3stkHWgo0EulwQ0WYH8HWA6pOyNPvP9cFQ1YvNQHIZlKyrQXEomGjffe/2nNT70geUNsvp82/31Y61bGJ9gUpvX7frOTH6kcm/YBO55gN4oD95QGK0UrGSYzxaKjjyXx3TJrsaSyoHlQzqXuLBfk5+8NWehBboSRhREQLKA7VhPfgrAGdZlfgXABPfsu/gz0bpA91OG0AsKOUAUvZB6/6Q5CttAvC6A/WFrl8C8LlMIZclyP7oDEvMApb418FJyz1aarLgqPcrBy46QGmwt8FO9+057RPMLifbymUgOZDX7dfHwGasYhZ49UC9DYC6PZvITX0AbDMcy7Bl2aHgpNs0BPR9GZo9Dje0EeRfsIlc8wgP9J9zUAnr1LJMztTFKpKPvUblvQLOgLM9PJh+JbxK+rtVTnLF4kv8IPFMLXYGnDk80GsWL2Cfy0qslCIArzMSVEaiLwBdRXSh/OltWBZvMwWxfbos+0KtLw2xg2m59veBvPUj+5Bj3RaE7UufD31BZGgsxAYRuy1pg5aarB/dbguUsq+ahFjpRtbr898HZjmAz/mGdP3YDGxImpR9yI2x9GU5uWA3lKXlsg97DmwSoG5g47QGL9g0yMvryyLZCBhAvza8751IhY6UY0L7XFuQzr+FZp42gPRd/AHgj0nbEpNtnjg8mEoppU2hpd0WBNSYggQRvQ9nBLA/oh1AxI+VXGyWoANVbn9tZNwP+yC+bYDS+5YDeu1PA6K0c2hQWvrd9n8uC9FBBPWdHcPQslPPse0EkH21Xi6IQBcwc+DeB/JD/nUQ1pYD+D6Ql/bkBp1zQJ8D4L5xBWgDuvx+3tNu3Z6cf9s+uw3N6ndgI5N/wSYllB2Ql4tPTKewYiGdL/FAexzeNcsWOyOdk192pHr83AksvjWT3/PtlIxBB5MWIM/D8qfKr5VUcpLB3PuUAKJ9lqH9izkJ4KVtlg2XxrcBeOkrWWUBLCQ46SxhTlsS0hdcn/8jug/Jsfc95KQm+b5PptFZiD5WOT14iMnrvtHHNic16bZa/2I5CbEvA7FBv6+yBtqykG1/LojkzuMhVp1j4jkA3gbkL/DHbAjoNfmw2xsC+U2koC3MkceIW2J3D+Qhgbzo8oj0IdbHPMKJKMCo2Ty08UmAcwGcAIs+Jq9XFEA4SkFEXuJPE8kq+K9eAZ7SvrC1Rp9j8qQgIr6lvRqQo9SkfWtA65Mi9lIQiTefhc9RbnqFdpawn/HdBzQB4G0mFccsXiFJK9pvbkDXBqq5eteWA55L8uBv+8YCcC4LqdTykIJgbrBatz+3DdkHMWHyuSAi27P70RdELCsWPzmQzwG8ZtMW4HWG0wfyYgL0Q6WxNhux14S0HbP+jvR4GOWaF27C5MFU2Qiz1Cd6jgmXbQasmbAGszP1fkiQbOwJptmqPtldm8U/ogvyAvCHwIm+OLSEAt0LKQCA9q8DlQX5M81y9YWn3+02jvxXsg3dLwt1LOJ4hR5PKI3vPibv0nEojf8oN+l1rG/pI7t/Wqoxq1T4AfUI/iLV6IHudW3XAD8kZelyVXtO6gHIoQBigVJXBYkNlcTumZcOIDkmnwsiOb9iehA6JwnJ8nIdav/iZ919J9a//C/LaF86INl7LG5go1yz3pxzHwF+EM+9r4BPNk3zZ51zD4C/CbwBfA74D5umeWetQwEdLdmcvBZ+PGVYQ9xPEo1mwvKd9NgJbZB/rOfKsSeXAUoNkPqVA/mzsK3OiSwL5cCAFJz6QL4Kv52BB70n5IHDgkwAYO1bjyfYIFLl5IUck5eLM8hAOtBK23WWcyLtlsFimyWg+ikHxHSzEOnzBWo5y7b1eIJIBTmw32s3QfoDkbLEKtrAhFpBB3cL8IEstExYr7Y+kO/LQGz1kW3npmYZdp8ktIl/uV51ALPnje4rCS5i+vihftshm78VSJq329K0CvgjTdN8yjl3BPysc+7vA98F/HjTNN/rnPse4HuA/37Qk+hjZQOPXJJsPjsHBOi/YlbSF5FLgG6B3rLtBQbkdP11SVcXDhepBjDN5GckJiwAH7/vA8oMSOp2D4G8tP9MX9Q27c+wSQlSlsmLfzDVR/ri1vpwDnwVAFupSXxG/3ZgWo8naL1W+k20/p6B9VaAErlJJCHN/GydvAbIzFiFPWcqIQS2/NNaHwArmUn7r6RNuo22dHVNBthh2qj19EtMD+xaOLHs/bogL79bqWkoS7C+tP91WcKWNso1661pmi8BXwqfT51znwE+DHw78E1hsR8AfoJ1IA9QNtw7POfq0YGRbOQmJ32SWpZBG+BzYKkHL/X3C5sC63I/dQLmWLyApQX5k+B/YU/kHNCUyf8Qk5d3WeZMJIo+tq0B0/jPBT9I4xZn0L4I57TZcIbh9Y2JZMcrxOcpibGdK98WzDJZgviU8QTx35GEcuMJOfAyvjUIy3lT2WOpfffJfOYctepUzEIkoKF8i4nspDNC7VsNdlsMjuuLX3nX4y6WfNgsUJazWYg+VjbASANshmlZvAV52UZj1s/5v4GNcs125px7A/gG4KeB10IAoGmaLznnXt3ISVkxPzzn7NEEPrCXBmEr4Ey0c23qJNT6u2XEAsRyHp8BXyYBxkKzeC3RaKCkC2IW5AXABOB7p06G9sU07/dvQV5YcWvGTsu2c0CWabcG+WwQ0ZmCzhak3T1SUx/Ia2nlxKl1rc7aI9PoY9tXIluhZDKpDNIAhmm3GggVvzYL0e2PwU9Ke+0AZg4kM5mmbrts60y3zUpY+l6RXP+41Ec6iMSgqn2LP+hKKrb9mXGKThBx5AG4JGVpum/6QN4GEEc7iDyH6ppxWoPNzDl3CPwQ8IebpvmKc/Zg9a733cB3A/DoowDsH/gDefbo/W2Q/6xl8obN6AuoI6tccm+24qoqoJq1QWhG8tFiwyYdLjN+NRDLhaSzhAiilqnYC+koH5y0pJQD4RkGiHXViU7h97v9kmPyWgqaoSptpIoHdQw0SM7z/gVwrNSUDVBaArEgs9fvG7ogvwAW2scQyB/l/XfklPB9RZCEdHaD8mv7Jhx3ff7kKo9022Ob7fQasg0N8uqeh1wWIqvGbEHOkb6KlVyQUuMUuu26zVnJSe+klmJ03wwEkNi0viByQxuZ/GbmnNvDA/xfa5rmh8PXbznnPhhY/AeBt3PrNk3zSeCTAO5rP9EATFlSHFQe5D8AvI4/iT4L3bRPXUyaIekL6rjh8NEJk9mK1WLC2WIKx0bbjSeRgKWSUDRIDjF5XbWjmXwEYvEl7E+f4AP+dRlolVmmVWUjpWu0+6ZPqhEwQ7VfB5ETDBBbKSjD4nOSysz4F0mrpfvrunkLMqbNmm1DGySlzyNYaiDOgXxPltBXeSSgXOnjaS2ThVhioYF4YVZfaO1fzIK8lumMb137bccoW0Ekt1BGJiPTbrtqNlvo858BeJtIy2r6Nco1L96cp+x/CfhM0zR/Wv30o8B3At8b3n9kU58TVuxT8fajd7n6wIEHeQHNM72kgHHQMO1JHi6qveNTDg9OmbKiPihYHk+5PHzFMHloX5QXdC5UC2Caac8uodzLg3CLbWuG1pPK54BYM+3sxWzb3gNiOd9axtJMOwYoCSL6UYkDA7o5tm39i9x0BqlUM1cHrlh8rn/kKtBSlg4kCwvEGigFaFzbrwZ61GqyH7FfpN/XgXymICAn19j2d8BSt31gLCon13SA01YK9Q2Mztv+9TlnpSyRmyrSelFi6avxz2QIut+lvXI8dw30I8hvZN8I/B7g551znw7f/TE8uP8t59zvAz4P/K6NvFUlU5ZMWHH86ISnHzjwAC/6+ZnWyAUEHnRPbnkdNswPzznilDkXnLPP/PCcZ4evdPXRSk46OUEN2+gF4QV7sxWXZQ2LWRfkWrq8gLBNt+muNwTy1v/CAHpOCtLL54ASUibSyhQgVcJokFfTLff51nKN+F8Y3y0g1oOLSivPgbBuu7wf0g5SkbXmQN6wbNt+DezavwbiKsda5fxU1Tp9GY7uE9T/sd+1b6uZh4FWHWDXMflW2+Wc1P2i27+ffrIgn5NrxFpAn+t3ab8B+Jxv2/7nAfRjdc2wNU3zk3RHS8R++9YOK0dBzRGnHBcnPP3Ah/1J8znCiWsv0lBaZy+eeOIsOZqecoRn8gUVF9M5zw5fg0OXkVSkfht6mXDrvWF2eM50tuIcuDycer8WMICkbeu5eDJZQi6Q5EBeL7eQqgzRPnX7XR5k+kDegkUMIq+ohaAXhHNsWLZh/UYgFt92qoa9/n7RgKABU4C+w+bZrG+G5BrN5A8JA7yatdqboTL9YcHMMvlWINFArCWn0HYdQHJM3jJtbXGQt6Q9oGkA2LZfkyg7Nqx9t8BYB/GSVhVQn2/Z5cp8H8cWdmA7ZPJ99wyZZRzwZ4FvxbOm72qa5lN9Pm8FyO/UHFBBQc2EJUecMnv9KYvqAfwSASw1m9nHT3mw1y43VCC/N1uxzzlzLphzTsGcCSuYLWE2M7KEZcPq/yzAw73Dc+aHFxRFDcCzxcT7tWBxqP2LHi/aZA+Q5YByQfeCjqxNtx06s2X2BRAtpywyv89QYCNSkzDJve6+2n1A+bdMPgKyZcTif6BPdICymUIniOippcV/ZjA01++o7Vgm3/Kv686Njn0dJh+1aCmTbcICilPlgmaOyVs5qyULaf/Kt2bYfQEK0qB6jt23gN6wbxugxK9te18g2QXQ77a6piJzz1DTNP9ULfMtwMfD6zcDfyG8Z+3ugTzEgznnghWnPLr/hLdeL7l89IoCeWFJ4QaWQ/IgX8J0tmTKijnnTFhRUTDn3MsrAvLxgtZztmg5aN4LApPZkkmxpKSGqQ8ql4ez/EUXpwqQHZXMgTyLjJ/VxT3E+M9sHXuPzGTbpc8kkQksYJ+Bn4Nf2q7Sees/JxvIhWq3HSUbaN8HEdjeuuBnmbz8ppm8SFA5FpkLaDkmL2aZvA6OFsT62rwpk5cMMLLiDAD3td8C7hBaRBA1/vsCnwV0LcflfNvfWpl25pWTa3L+dwXyO0LSgXuGNMh/O/CDTdM0wE85546lQCXn806DfEHFEae8ylvwEN58FDT0CPAlHiBfTTdMZUC+KH1WMAlAX1NQUDOdLbnUzCEyWgF5YZYGhFsAdcl0tgoykGfy3m9DlGz0BfgYuiA/HwB3PMDPlmGdKcxcz3Io7VxODTMg2gf2GmD6ALslTSjG1weQNsvoY/Ki/7eAOFhf4Ohj8lqqsUDcYq10QbLP9zpNXgO9lRbW9Ytlw5q16u3o36XtORbcB8S5TCHnW+9nn98cyOdYtt4vGygtyOs259pu91s+nwxsd1PbDuQfOed+Rv3/yVAd2HXbvmdI24eBL6j/3wzffZWAfLj+agqmePCsw6jIm8cfD4ChKwse+JUE5PVt+uE1ma6Cr2WUgaYsmcxWXTZxSJhQTOqOw2RYfUBQ1hRlTUFNQUVB4f3mpCDJNk40mw+HMMfG4km/ZG+2AoLQUGb8atkj3gFL3vcQk88xbc2MIxCrm27W+bYgP+QbEhjlWPa6LEQDpGbyrSBu2pHLEiyYWYnDBhDxrdueAzEbQGzf5PZDzAJl7vj3AXFu4FX7tdr6EMvWx3Sd5i/L5AJU3zaGNHkdqF6OJv+4aZpPrHVp7hnKbNFak/kOtmrae8kqItueBGAGVL24nAGvAA/bE5n1sCQPwt7fion/v6jzYHkG6WlUe2nb+kJSev+kWFJQUVJTB7++0maWv8ij/kzy3SrFbL/2ZiumsyVVVcCMJDHl2q4ZGea3PgCWvuqTUqzvcIwGQdhuC/LgqsFYg4C8Z7OnTNu1WRC2vnPBpq9vNgV5aAOTBrG+PrHBVbf/UH22wU9sHQj3gbw2u12xviDV1/Y+zVzanWPyM/JA3wfyQ9nCDa3ZYXVNzz1D2t4EPqL+fx34Yp+/OwvyVWDvcy444tSz+cMGZroMcQ94kO6IFbCE1sXmGbYH+ZI6fi6o8rrmMeEGIKNlZ2a0LEoP7iWazVcUZeWlIH2ByKyR+qQfYmIzYHZJUZAR6eEAACAASURBVFY+Wyhrlgu4nF3CLHN35jHtO2L1vtkgpS+wEpg1fnCvonvhWZDX8sWMboDKAUI4rp1AYuUawvd9slEO4PXyOYC3QKxZZ59/K3lYkD80n6ENTDn/9vMQyA/5FssdI/msswTr3/6v99F+lwuE+ryx7c2ZzRL6/FupZp3/HaFfcw9Ws/XLbWID9wxp+1HgDzrn/gZ+wPVZnx4PdxHkQ3VNHXZtjq9vXzH1k5bNDmjXm++lmSof0T6xS3kLgJ4zezEe02arcgLmQHLWMJ2tYtCQbZXUlGVPliBB6Ez5HwLh0vsqypq6Krzfsoayp2Zfpjy2ID8Ikg2UAfm03m/XzWnD28opM7qVLxowreSRCyKbsO0h3xrwc+CbkzwsyOtjh/IngaYviOSCn6wrljtVtW/dl/Zlg9M6Jg/tfbTf5bah/YvvPpC3fa77ZgjoZd2cf1lvR3JN46Aq7m249NW6BfruGfooQNM03w/8GL588rP4EsrfO+Tw7oF8sBUTAPY555gTTjnyk5bNDsIS+0Sp5gMkoLcgUfZKXZTU3QtRZwIW5DtMvop6vLYCD8qUTQJN61+DgX3ClDrp7wWAB+L7vbLmKseyjpVPK9dkg5T0UeUDB/jgoftEqmx08MuBfA6I7cWcA2Ar1cj25Bisa/+M7v72ySn6kY9DTDsXoOS8Ev9WL5dlcpLEUPAbuoItsOWALgfwuwT5PqDX/TLEtK3vSq1r2fsmIG+v7x1Y4xx1uamz1bCv4XuGZJkG+AMbbvAOgnxg8kumcfD1mBMe85D9gwvO5CRbPKQl1ciroi2JGBPhJpoG4mO1ngV5Xb0T0uF7s1WsjbfmQb7yoKmBUE5UmZqhpB/EygTssp26KijKmit9QfTJKZjfe1l87QMHQBnYvL64+9hwH1O1YKMZqwXhHBvWQJYDsBxQWiDpk1N0QJH1e4Mf3XMB2tuxzFr3Uw6Ec9sQX7qf+uSUIZBf1y8WPMWGql/6mHZplh1i2rnf5d36XAfy2seuBl6Buri9t7zePZAPtlpOYEq881WqYxKghRugZPKy12lr0tDqnaSal22gLyuY7SWgFbZmT0R5OIh6OLgAsPfv/VWtAFLT0s6PjU/5LL91mLy/aUdvJ/k2WYIOIAI20M0icnpwy28ITBoArcSh+1hnOh2piXY/Ah3g0EybzLYsQA6x1T7/GH9D/ocY68Ksb/Vy3Xbrf4gNW//Wckxb+89tx/a9BkgLxvZ3+9s6pg3D/nMArX8fAnjb/lxGcENrcG3id8vszoL8cjFhOZ0wZRluYlqGu1TxF9djBfDC4g8XcDZrsyllNQUrJhHwgQTEGij1xSYnn62AKf2gq2j9lTlJiqJuyyoazPRJq5mknZq4rCnKbp5dlFUopVS+LbvWIJ8DyXhxVS1J6Koq+oHSXrR6uU0kCcuOc/3SB/K5DMFmCXodK6do39a/HIO+bYjNaJ8bOVa9qa5tA1SVWT/nOxdE9DYs05bjpYNEX5aQ26ccEOfabn1If28C8n0vbTnJZkiC2sIaXOf6vU12Z0F+cTanvl+GsscVJXVi8gK4Au6vw+wDT5kfXnDy+JirxUFLrqkCuC+ZMg0llHJQ74n0oZm2VGRAOuEOSSWah5DuQE1Wm8NR5Hxrdiz/62UUyNzLMXgxyUA0k4YERBbks2zbSzVtvzWdW/0tKOaYfA7o+8BAA5aAsVy4uTLBPhDOZSMWbG3bN5U8cgGEzHeWDev91O3PgXHf1au3kWPaOsCuA2Jot81mMjmpJrdvQyCc86+Bv4+B9/m07zlffW2+hjU4Vrf4qSF3FuRZTOPgqwxsFtQJbBd4Fv8G8HrDo/tPPNN/BE/P5v6GINU7UuB4zjzo/V62aQGxPnm0pi8g07qjtvKVLsq33hYExj0LsooEDQvC8l1HjriM7LquMixDV9hYzVmzeh2kNEiWfh+yVjZQujYjtr7jsrTBsU+ukWVz2Yb1nWOTm8gROghZoNTBaci/Bcuc5UC4j2lvAsJ6H3K6swX5Pv9DTDgHkhbg+/zntoV6z4FwDtyt5Xzr723bc9vYgY1yzYs2GZdeOJYmuk5YJm0cIsjff/0tP/UBfgDl9PiUy7NX4klQU7JkyjlzCipWTFIAESA+VrP5WbYgF2fU4/0TpnKaPBjppqzgUE1UZYFMvm+BZGLYpWHaAvheCgpTJ0C6aCVAxe2TB8mQifRmC5ax9rXdAlgWhEPWU7n2hWxBb0iusNvIgaT+PDPrV3T3yfpfB5TapA1DQDnEWNddudIXQyBsfZP5nGtTjmkPtb3Pr/WZC1TrwLjPr217bhs7tBHkX4ZVBP08dX5J7YH2dTwYfgx4A16dvsUjngRZZhrmij/ysyYGtip6PEHdFyD29exL4pwwNq3UjPhwEfVruUFJfFdhUBf8zVd17Wva/eMGSyhdl0natF7q1Ut/x6zo8VkmD6ndKNadA2F5j+CYtiPW2obUzAubH2JQ6wDSlrDq/dV9kAP4vm1gPotZyUCDex8w9IFY35WVY8RDTNjug/1+yD90261BL7cPfdu25/M6lm3btGm7c/2xDuRzn+13lfm8zu8WNmryL8MCQzpnjujpFUWUY2Ilzcfg8I1f5UN8iYc8oabggjlH01OezY6h8khS1wXLYkIR5nPxTN5LNkVZMzs8p56161+LIMcsF9MItlO1jAbFioJVrbIOdb5MZktWhAHNIKvcK2v/vzIdPGI3ZEC4qgrqqkwDpbMllMFXpU6HyiWA1bKMqrUftLKCWen9+J1cs7z+3H9vQmtZO4BpP+cY46ZtkP/7fG+7jYo8cA75HvLXt6wFynX+b7KNTXyv20bueG3SL9taDux3ZF6uub1Qentbdl0TuaZKYLwMFTEFNTxawBszf7A/Bh85+AKv8RYPeewBnlP2OWd2eM6iKiDcKboqppTUkXEn3bz2d62Wfj54mYNG7mJdHUxaNzsJa1+V01S7TkldFRGI7c1L5eF5/L8o61ZtfV2HdYo6fhY/dVX4+WqU1QrIxZ//3L2arNRTRb9laztAJ+h4BxXMko91gaHlo8oEnpZv+tn+kOWCzpDMkNtux+fA/0PMeVu7DnBvsq1t/G7qc9Nt5QLSdfz3tXkXvteYH3id7N7xjuzugTzEE8cPkk64YB5ujFry4ANPePqxDwPw/q/7PB/hC3yIL4a7YleccOwfDnJ4wWox5SqA73LqD6KWVuq6oChqJkWabz7NUumnK5CDr4PDOXMopPbe+1kuJoFh+7NSwHcSbpgqqJiGGh8JIjVFZP0VBXVR+qylSJmBMHcxHUgk2yjKmsl0FQOUmAQnu8+rxUQBfpHAWd4V27fbydXs6wC3XEy9T+0PEjhDO8MIN2Lpfer6L1M7q8IHjjL4tMy3I5GYbMa2XwcjHUC0HCPf5fzn3lv+M+9DoGwHdfv89m0jlwno/RiSdIb8aj/bZBXbtN1+J+vn+n6H1sAo17wUqwiV8VNOOWLJhH3OeVg8pv5YwWS64mv4Fd7gc7zK2xGgD/GP+ZsX55zP9lktplRVwcVyTj31INcCygC+8zB9guQOR5xSUHtAxwOlBJz0f2LxMaCUBTL3+yTMUFlSt55MNTG3Rst4wTKEgXPm1EXZYvSaJQsolmUdt6GDVJx8TdoXvlkyZVVMwiDqpBU8qPLy0XS2bO2HtL3lv/BBVOSv5WLi+wO6TF5Ad7ZsbUNnOXqeIQlMdZUC6eViEsBezeSZA3cVRCbhmOSym1YQWYQxjrhAn//8dqy1ApMEJauH9wWOdeMbuaCU0/D7gtG6cQIbPPrGIYb89/nO+dffaesLHDtDv1GueTlWwcVyzvl0n1OOqCmZsuJDfImjqX8g9xt8jo/g5Rphrf5h3X5Ss9PZUQSy5WLCctFOyaazFWVRR4B/yJMIwse8QxlAXgDygn3KwMAj+AcWLwBxVVbUYVIxIAL8Eaccccac8wjGoOSfUP1zGoT7NFCsgCLYFV7rL0qfhUjwkLZLtuC70TP4C/Yj+FeFD0ZFWSnADKeSykSmsyX7BxdMWbLPeSsTSYfJt30SwqMURNVVqTIEM5VHuAFrMlsyna3CfP8+pOtsJGYfRRhTKWtW4Rhenu0H0HNtYFDAe2+2itvQAaTjP2Q3y8XU32RWFe2poDv+iYPkUmWlsx0xkdtagWlhnhxlzYJ72cSAKMdFfAMpMEkAGbrVvy+A6IxHmw1KuSCSa7vdht52y3+P36FsIRegbmhjCeWLNjWB/3Ix4XR6xAnHrAKT/xBfpKbgiFPe4HO8wed4xGNkqoI5F+xzzj7nTKaryP5a6X6oXiFIMgLCx5xwzDtMWfGQJwBx0PeCOSccU1C3bqpaETTueKHtcRkuel/LswrTJZ9xzDsccRayhMSEhcUn4C/jJGd1VbZBGKLkUJR1ZPBHIYMRMNZBZMkkPjAFjlixYlWqgWItVVAa/8vYP1P8s3K13JQC1D4Xsk0JIFrnNIy1CIFwMl21AtQUz7it/4I5ZZj/v6oKLsu63SctRtkG+P1p6hPx71fxIL8qJhQHvr/PwQNyqfskdY0FeB2orFxWTYP/5YRlWaXsZrHXz1h7gohkO9okiKzKmqvFJPSHqeLKseDWHcOXHcmsFUDk3FtkgkguC+l9DWQh9olYfZlIbhs7shHkX5Itzuac3fcgDwSgeRIB+UN8kQ/yReZcBJCZK8bsGehF6SWbq8UkXVzlnmdsh55Ry5z1j3jMMSfRv2jyywBiYqccRdki6tELrQ+HCpjAHOcqiLyPEw4DYAIxKxD/wuBP5ZGD0E71g3/wg7WTMO2D+BdZSAeR85CBiP8lEybFpLVP6cLyF19RVkymqxikpI+0JAREeUn+ryiYFBNW5SRNemZTewmCswTw0m6bKXghygP0KUd+vEJ8l1VbslEmA+r70/N4LuggIm2V/inwz+eV43klc/hYuaakBfDzw4sol+UyqJqCYppQyxcDlFAaSajDgP025ofn2TGXioJ66gNIWdYsyzpkN3v9N36ButcgZQiT2TJmnjpTaGUhTP05bu941hYDh/7cDiJirQBCTxaS7Rd2DvIjk38ZJnu1mAZ+ehTY5Bmv4W98esSTOOAKcBJ4uICGAMdpeRRS2r00h3sJlH6AcDr1IHkYQPJV3uKIMx7xOGryArqi251wrJgxgUWhZrDcg8MLgMh+jzjlfUESErAEYpbwDseR1Z8zb4ERlcteWDKesB8AWAO9gIFkHfp/D3t1278BgzKOVyxbmYKMVWiQnwQQrgPrXrHiojPASetsLYPUNImZQl7KmrBqBcCagtVsxVJYsfiOjpsURMJjH3NSVmTxTCioOBX/s6LtW/VJeq9jEBG5zMpNbf91S8a6rIqBAEK82W5+eN4ac8mNtRTTKmZlccB7sZdHhlamsIxPHJMgAmqsZZpkLAiPnRSg1777gLhHzoqr2QAizH5dALGBZAfW0L3x8jbZ1rvpnDsAFk3TrCmUfslWAgvHCccccRp18o/wBb6Wz/Iab/Pw2TP23oXLA6juFxxxFhjheZIt5MRa0H5QRzipZG4cAchHPIlgD0StfJ/zcBlP2OciAVtMZ2k9qKOuiljTIizY6/6PI6BJpnDORQBJzyolgBSF+MeksGXoosTkD6PcdNIa3NVZwZIpc8455dBDUFkHNqV960Pg+2bfgLzsu/jXnyOzz5VbVr7fZcDVz0ckmcJ5lJtEDlrGAFKF9vt7HYqiTpO0ZexekIIKqnDr2zLkeec9ID+PlVLLwt8XcSlz+HTOy4Z7MiA9TW1Pw+ZpUF0CCIQAMi1ZLibet7B5q/cDBHatx1ziOaECoDwik4IoY8VMwU5p3gLIy7QPalDd+l/KIH2wGJyGAoiaMiM3JgJ+HKuoCurK/38JXu4sXT+iWYCPD7q5ub3nmbxz7h7wHcB/DPzrwBKYOud+Ff+Ekk82TfPLz7WV25g+NxdeGnmHY17l7ajD/9pnv8zerwDPgBL2XoWj+6eBsV2EC9pffEURgEyDPOndg/B50Mw9037IY17j7cDkvbcpS0454oJ5vKjBX1itQa9wd6UMOk7DQ8OPFAiLZAM+iOwHVn/OnDnHLRCNbZWXCVCJqaZAImzb+/cgXIXB41MOo1TU8Q/xjCrKOsobMs4h/jXw6mojEV1aT+HSg3fmbBVmnRtTAJjrAW5KVkzDUd1nnaXxinQuSPDTQGZlshUTLsrgX+bwyWCJjFdMQxCJ55sar5Ag77s4jI3MVkmbl/5useEmBin9AHod/KS9rbK/grZEZv3KdyHT0UEkV9pbhQCix0Fqfff2UNVRyER6xysKguyW2HPMFLRWr/eh8/JBZO1zmjaw9zzIA/8Q+D+APwr8QtM0VwDOuQfAvwV8r3PubzdN81efXzO3NDmQC3iHY/Y5p6bgmBPe4FfY+zTwy8C7wH2ggqNXF0zuL1tyTUuDXagX6V0PLArTfsQTXnv6DFfB5fSMk/ue+Z5wzBlHzOPgZtX2XZltQBjYTXKKlmyAwFaPWDGNMo5nbd73lWbyhtFLFiKZiAZ52W/Ry6X8cx6yBvs0q3Y5W9D8qVpAf6iAWNiwHVs4lXsMCs/W+y5CXb6qs4X9wFp9U4oOIMuMpPExiKLJK0CL5ZhhoFXOBxkL0QFQbMk0BoCiVA9Rsaaetyt9P4+hpz0oLaq8DyCrOOBdyHhCNlNI/qckOUv6yQ7Yi62YMBEZS8YTBCShhRQ2iKQsJEmE2n9VeBmrrsq2b4x/FUSinKUqpyBM+UFJQREzEKA9DiL+ckFKzR01mS139tyQ93qd/O9omqaT2TZN8xT/RPEfCk8Xv322gJNnxxzd94D4iCc8+OUF/Awe5GvgQ8AB7H0F5vcvwkV3HmWbCGaayauTX9iwlmteffYU97ZfZq+E9y/P4FU4DCA0UReEr36hw+Spiih3SHuEyYtkA/7i9Cr2NI49TIKyHYOIHpTqAH0VQUwDvQClXFzn7IcBYw8cyXfZ8SkmcpAOUhqIZTxBSkz1TWRtNt/1XxR1q38kA9MBSnRSCSDSJ70ByvgXcJmEcQutnQvTFv/CygXkhwNUpW5wS0CcAqgAmW+nSH0TJhTFvP08gIxcowe9p+GVq5rSgD9htYHURDaIWDlI/oplpSadcptBUC1n6QHv1PY6gWrhq7Ems2WQmva64K63oYKIvefhuvaen9YgB/DXWeaFW2Dyi8fv4/S+H1w95sSD+6eBXwrLLfBA/y4x9Rd2FVNzATKtm1dEtpeqU97heHnC3tvAF/0yTP37o/KMtx+c8CSwbXlgN5AvAwsmurAG4GNOOHq2oKxhOYXiwA/wyt26E3VBpDsy6Zz8lgknXf6dyLAF0M4Di58KE87JQaT3xISFyfs+EjYvTL4MWcLcgNw601lCAnrJwNKNVwKYMpYQg0if5k96mEuB3L2c2LwelJ6EIFKF/pG2dx7p2JIMajUo3QbinFwDEkRWXAT/MQtBsVYx5T+NKbQZN/gM0Psuo9R0zr6fFK8MM5TmpCY1KK2PryYu4lfMl/dWybe0OSsHVSqTah9jHZQKxZzrqS9xHm53+nhPVWftwu6CXAOAc+4TwB8Hfk1Yz+GfKfsbnlPbbmZyEp04LpZzmMJDHkeQf+sXYH8Kr0yBjwNnxIsuDYQt23KNMHk1J7oeeD3ilIO3r+Bt4Al+9KIAanBTOHxwqqo09MArbTZfAVUZ03XRhmMZ5dMF7on3OzuAY55xenAUgUgzNqDtXwGySAMip2i2PQ+QIoO7p0FmmsQLLgCl1cyNHKQlobSNswi+AEdBK5f+7gRAG/ikXE+BwL7KRiT7SIPH0zbADwWRMBgnWUgZ5LI2267i/klF0FSB6SZBSg9USvDQjFX63rPs1Oet4LrGv5w7mnHLedGWgibx/07wa1W+NJ1B6XR8UwABz7Yl1Mg9ITHDEanJykGqsknGRNYxeQ/4Vdu3lYNa+1Cl+aZ6nq+8rfnqmrsxd81fA/5b4OdhJ+MVL8ZO4PxsTjGtI5N/6xfgJ4GHS/imzwNfITJ5fbHuq4uij21rlnfEmR/MfTu8NIN7hahHt2QgaAO8mTJXWLYAwdHy1AP8M3wQWcCsgKOD0whGIqdkgdKAcJsJJxCeL8OkaFMP8knv7wGxnOQR5AjdR7qaREB+FfRsHfx6TQWoMsCISBFyE5ueN0i0+Gn0v8yDmQKDMmQhkg1MA4Bp0BHm5kWUxDQjiA5U70iWI/2jB8Dj/RPBv7Rag2r+mb1EEBb/uk9zdfi+/anPJ6zWSk3S/hREUvstk5cbDP3NaCJjZaSmjN7v5ay6dY62pSZ/hNoBJCM1mSClg8gmwXgTe8/LNcp+tWmaH31uLdmlCbBWwIm/hb14WPG+pwv4PHwKH6keAL/+i/AwsO6y9idXYsRa9qAt2Rgmv8+FB8Yn+JeAsLTnIRw9WzC9L6wn47v1kgqYlNbPueDg2ZX3/TQstwRmMH/tnHlxHuWUaHJX5+Dga2LCc845eveM2bthgfunnE/3W4ChqzSib4zfIs16I+Cq2XbSbgsu2I/AX5Au7pb/bBCp4/4mbdiDpVhbemvfUdppf8a/ALcOtOJDmPYFczWeoLYxdLMV3f6xN1tJ+/V+Sr/0DuzSDiJJ91+hMzwNkv5mrpCdFKrtGV1eD0q3QXjZap9/UsEqBPAlUrrqffdJTZVqf5LM0ivdQyDZk2Q8LVZuJZueINKpEruB3Qm5BviTzrm/CPw4Cb5omuaHd96qXZjs2Qlxvg/3BPgC/Fz46SnwuRoePgMWMFlcMjlIQKN1wBzAQ2LDc86Zv3vlK3aehpfo9wfAMxncbcspV7aO3QCaXDgCwLyLfz1Tyz6D/bNL5vdTiV9WM88AfNJVExOeyTaAeXnFfKpruVVw0paRa2QbAoCyDflfLmG5A7h3YDRj+uLXTHUeilZlGQkiU7q13Jv417JN2k5i8nIzVyfw9Vhi2m3NX2cJIDdy+eFoHfwgyVVx7h3dbsXyU7bTBmJAsexJPDYR6HsHdtM/7WskZT3S51NWiNQkmUgcT0gN7ACxBJFupmDPOwXwEgBsVdNg+zc7zzaxO6PJA78X+FfwIVj6sQFuJ8iLnQELf8LzDJrPEyDA29vgAW0JRUU8sdZKHpHJp4vVCfg+C9t9lwTyATgtM4mWqyAx6eq+gPyz1GZq4BD23oXJfT1ItdkJnC7WMBPlu4sUSABX+sDUvmtStT0z6CrZQxsok2wgg8Nyd6v09aDmnKuYyLTfsmENkBPd/kId12y/VGH9lQKwNAYgcodm+/pZAp3KjZ5MpGydD2luHPF/QZKldLuGTCp3CuNbzwJK0OH1uaK30zFVuSN918e2/SMyp+3+UMc2DpDauX1M3+hj2wpy1LH9sj3fth4Zq9X+HrnrBnaXQP5fbZrm1z+3luzaZM8CyBfU8BX4F0/bi70FETDLOskvMmjVK6nEzSSAicD7Li2g5ICYBXRKECEDkqggovTb5cr7kW1IWeSZ/05rwy0bDFBVZLkTlkx1+wGmPsOZHqxaF17HDAhrUEq69jLu/3S58r4Nk9SgafvCWuwX1X7pA7ELRGpadvvFtl/8lhpM9HbSAKBINbrsc1M2D3TA3YKZyCkT47sMAWqdbl622l53jp1sbxlZtml7Xxml9JEiQPoYi9WmPzpZSLuxcZupvLTdHkuKkirfDiDZewgMykmmsEtN/q5Ma/BTzrlf2zTNP31urXkeFuSVghrOAqgrewoeNCtwVf9F0QeUkICeijbAC1Au08uympbvHhNJZbK4Sr4E7Mvku834pN39bEn7l204e9PXEqZLgoxVDV8YGTlI2qRlleky7AsrVtNVBLe1IGl8QwLLeJOTYtRe8mjr5JsCvSyrWbAGY9Gz9RTMtm19Zqs6dKAqWsewy5S3Mc10dQAFmNDWkXV/rqsf1/3ZAtgWKHfbfR15pDDHFHyW0+6nnsBhD3UIItrvLuy2M/l7Wyz7W4FPO+f+mXPu55xzP++c+7m1a+3AnHPfHLb7Wefc92y0koQvDfLLAOrKvqKWEcsyG+gyYTMA1borVgF7ZN2LNoMrqWk//YgsUEYpo6YN8PIK4wUa6GTdju9WF3XlAmr8S6SgRQp+FkQ7fTNgLVmjuvJZU3XVCQTSrk3MArYOJJoZaxacWy/Xdr1sTvaw58g2er/tjzbrrjp9vA3jlBp/8Sdty8km+reNzIC/lWn0d5bFbx+gqk4ft64b1Yb4245lmG2sSw3zr3XmnPvLzrm3nXO/0PP7NznnnjnnPh1ef2Kdz22Y/DdvsezOzDlXAH8O+LeBN4F/7Jz70Y0zCg1uywDquWWC2QukxeTNstpKC5AyUCuMIvzWe7IPXMdy0TvZl5p2QKiH19/E4sVkA03wPciy12Qh9qIsJGsqEohaFttrPdp2Lr337zcfYGvLSL4BJXUUhXaR9vcFOPv/4L6YgVG9fjfbsADa0085RpzbtDp+NyknlBr8nH9tvZVS7ZXUwG6ajz6NKeyOye9wWoO/Anwf8IMDy/yjpmm+bVOH2xyNLwP/AfCGWe9/3sLHdew3AZ9tmub/A3DO/Q3g24H1IJ85QbPnq4BzJattzvj8cmskho4Wfs2TSwcaC/R0A9S1bU1Au461GKoUh+zgGrP7OpQR7CpFL0g3K91EiuhbL+dzowC4xfY0KK1tu7rac1JO3z5s1GY1sdomlmv/y7Zd1sk3TfN/Oufe2ImzYNu07EfwdR0/iyqhfAH2YeAL6v83gd+sF3DOfTfw3QB88KMvrGGjjTbaaLBVnfwj59zPqP8/2TTNJ7fc3G9xzv0T/OQp/03TNL84tPA2IP960zQvQ7LJjRy2wn7opE8CuK/7RPotU3aX3eGi/aO+ZXr9ymsOsJ3idN3yQ6bLwYqc3/Jm/nPb2ZGlOyBLqgL2Kuyzv6/ptzD/l5Fl59jeLhhgHc+PovX5Jr6sVcp32tbND0hue2vbrq6jKnPQ+nxu1GbxvUGB09/x6QAAIABJREFUgPZ7m6zBoWf0XGOPm6b5xA029yng1zRNc+ac+1bg7+AnZum1bQZe/y/n3MsooXwT+Ij6/3V8BNvM9Ax3U3ilb5lw3ligjCfUGuCrCFOfFn47yLSmsv3wW+8JOnAtCDg22pcG+GJ4/U0sXjw2KAXfFnQ2bbso2a3tlNCUUJcJlKtNQSHzc25gKx2/cgdA3B62BMw+7Q58bT/boDS4D+qZtdqf/K/bqUdB9P9dn5u1f+Pjt85PlffR7YdyfcDWbVdBpK5vdj5YE01+k9eNt9U0X2ma5ix8/jFgzzn3aGidbY7IbwW+yzn3K3i55kVNUPaPgY87574G+Bf4B5j87rVryQEOQFtTwNRPZaDtFbWMmL0AolnmXBXUhQKYGek1VW04SN/rWo2Kgs4t3joogQKXwjPgqfIPrYAiDw3XF3ar7Z0u6taOtAJV6JumTGAd2XiubwasVXNR3qOqrqjLewrgE8hsejFYMKiRybaqMDA6bQWQwQytM/zSBr92HUl7qFiW34Zl2jod/Z1st7e9Q36rEktUqkwf6P3cGHwqC7TtmiPUncA6WF2HfetaLhukLWmI29hFangNe5Fz1zjnPgC81TRN45z7TXii/mRonW1a9i03adx1rWmayjn3B4H/DQ8/f3mdBtUyDfKH8Jr5+QFEoBQwy5Y9WYarek7m0qAMvuTmJ7FpemmwjGb8WavxTwVaze6xN73yvuSxagL408T4ZR3vu3vre86/bKOZgZvhB3ZD25dTAmCWwydzJkBpQJQZWpbTCbBiOU0ztmgwHvSvfEMCEx3gNED4Sco2BEzzU7vmJ50PqxABl0yzDHYdoNV1gV6kpmSJf8JXQRvwbZDZxto+ylY7cxkWBNBfA5a6P/tIRa7d12HOdc9xs/vSsVwGEp4LK+vscvB2V1mBc+6vA9+E1+7fBP4kgQU2TfP9wO8Efr9zrsLfvP8dTdMMjlqvBXnnnGu8/fN1y2y8J1taSEt+bKuV5CAf4p+ZSgGvwIcf0CqWfw08KE89UdGAsWTSD/JxM0WcdYQD0ktAvsQ/fSoweZnLsHXSaikoo9/LCb2cTjiYLVIgKcP7oW+/zKySZap2GyS2JGC1Yspy6qcvjlrpDFazvdgXvWCTAUh5T1OypbkcU3vTfbDmvs52ezMXbewX1f4VU6SCJn0/6fb5QPvrqogBub0df3+uTGtQq2O/UZBS1q2+L2Lbta+V8V1RUNfrWWs7O+iSFt0n2cx1C6CXYwypwsv2R3zP+Y26vAfhuk4ZsuxLYfpVB99WoJFnJuf8y7pV4Z9WtSP2vcuboZqm+Y/W/P59+BLLjW2TvfyHzrkfAn6kaZrPy5fOuQlewvlO/CMC/8o2G35hFkC+ooD74D4E+0/T/DWvQgT5ukzMRC6AGO17mHxijFOaA3D38aC+VMvdJ4J/N8Wl6x/xLQzbg/cFczhYJP/C6A/8w8j1g9i2kw0SWJ0fzJgdpDSkOYDzYt4Cs1bbbQCBWK+tL8Q00e+kBYptsBlgVz1nqm1/98HgU7WMan9drPFbRh8VKSMQMGv7S8EpgrEFs56xBAv2+mlW7eCRguY68yCZl5kI7bdBJH3XO+jkfQcQpuhKKlaeafWHOrZX8lzjoX3IBL98vyl5ajCAEJeRIL4r23Gd/M5tE5D/ZuA/A/560MVP8NBSAP878L80TfPp59fEa1qLyfuZvZuH4L4GfsMvwE/jpZo3CiLTXs32FNNOFzaQBlLlczC5MM+Zc35wj4ODK+9YpjgQkL8Pl6/4Z6bqDMFP1kQbKE2mUFPEiYA5eOoDRng2LTP/+eJwj3PmLeYXLQfEtGUaeYbrBXMWB4u4q+cH9zhnP8oqy9A3Hcv4l21otn4RH8NXx/3SAaB3AJCuXw3e0j55cHeBf+KU7++pkVY29y8BX4De3+zj10/ZyWRjFn8VQEZAWM/qMzHIo2eyb4FofNpXFyg10Gkt3j+dyT/KQ/ZPjuVSBSvvoxQHbTMDu9L3ktkUqo3icxX73YNxZe/wNp8FhKuiCNn0NBzLNOFZImFtwlRVhQ8gOf+x/TLL52bn2Sbmq2vew3PXNE2zAP488OfDs1wfARdN05w878Zd2+QGoRI4hr1DP5ffOw9mPPjogt8InAMPgYcfCh+mhBSuaAFDRzaQgVUlp3iWvc/5dM7BwzMvBy1JksoD4BU4vT/Lg2UuSwg3h4hMII9ne/f+PQ7uh6mpZBuveLYtAaQN8BXxKTx6W+j2T8OjPPxrcrCiLv2c7KfTowj+AsYdQMsFkLqI/dnehn8Qi8z/cq62ay/cIf/SdtlfD/D7yIMrCurY3nP2O9p8y9bIQXX07wOIfu5tOwCabVTloG/NpmVGzvZxmcSgvTT9fjUgp6SCgCTHScjS878koC9TBlGrtvf5NgUH4r+9f2UL6FvZkwVi2VQA4boq/CP9sllC2dpuJzMD4tPKMtu4qnyWVdcFy2I3T3O67XPXbCVKhWe5fuk5teX52COYH55TU3DCMQ8+/mVe+3XwW8Pj//govsTmQDOnSZiVfL8NxPLUJgWUEgzOmXPKIe+/7x/aTUV6/N9D4D6cchTBtANi4t+AsMg08kyl0+kR84fP/FBq7du9iL73W5p/R2qCDsCn/Z3Hh3UXVNTTFPDkoYApC8mcNpnBYwGPZfQ/D4OLdfRzER7HkR5JskZqiiQzyRgXoV2SJegBOQke6ZHcgVkOyCm+jC/JSUsVQApS/X16OmsaC0lsu//S8iCWxhMExItwXkiWkx5AKVJRALU+WaJyKVOYFq0+ld7STN72+YpJkjMGrK4Kqmli2hNW2Mff6QwuArEa+NwEhCWQSAAqVNt1kKq0b9t2LddULun+IZvald0ZkH9PWWTyDftTz0qf8Ih/6eNfhq+H10SP+Br86OshijHPSWl0SMNmfpn4iD7F5C8COJ5yxLuvvs2BzBZZ4bW/h14qOgtAqS+sQss1LaCv4sm8DEHnlCNOOGbyYMlRkR7kfXJwP4KwlYOALsgroExyk+yDf/6qpJ8C8pptRy26KohP4RmQgyQL8EB5FBbzYHkRgqOVVYYClICQHtTVMpA8GUr2SwO9liXy500Z+0YCgjy56iIweT2wK0y+LX2sv6y0dHTOHJlcrg3y7Yf3dWS4Nf7l3Jkopi1PQ9IZq5amOgBvas0jCIegI08EsCbHRg+MxwDSB/QGhJdFGl+B9jQj9ni2fNv5l1pAH3wvJjub0OwuaPLvTQsHdvboHY44BeCEY39v2NfjZY4lnsk/IDL5cwVIkVXKw4EFgKUsMzCmJdMAwO/jZHrM5NWn7NWpDTyAxw8OeYfjCJgdIMtkCUC8mCSInHDspY77HowvAgifRN/7kfF536EOPzuwm6SgC+acccRJGJKWucETkz+MgDZYAqqAuC6KCIDixwNZGXVckYIkk1gLwq1+SQPNApQCkP4UKGKG0wH6HFuNbdclmClTE9/yZKhatT8F7rItHSi/HmQSSErfSxAHotwk+ydBO8k1QdfulTySfzl3VqRnDOgsJ21f5EOla1vJg+S/rkpWywnTqcxHnxi29JHOErOauQXg2D8JsOtp2QogurxUV7WtlpMN2p22cyX7sNilXHN7oXTjljnn/gzwXz3PUsmd2wyO75+0QP7px2c8+IZQofIu/v1VGRTdjxdWR1YZYPKaZT/mIdyHD9VPcRVcTuHk/iEnHHMWJZVJZMr+4cN05ZpSBphSe044jg8Bl4cjr5jE4CFykB7EBNYGEWHppxzFR+dZkE9gZkpAJQBmzqRU1phYfGLw+/F3LTVl2faA5i/9sx+eyQtEYJAgcm76pJNaZ3Rzr9mmx39fhOegavmgDcJpnGWd5JHKBMsod1yQKoK0XCMBOPZ73SN5qP8FhFdTeQC4VASVLbBPA9YhQInvvrYbEF5Op8KjQ/BrP8g7BRAPxNG3HTCOM0X6t6uqYLmYeqZtxjNllssYpOopdVWwWoQaaB08cv0Ts4X19wNsaltOa/DCbZvwcwb8qHPuO5qmedc59+8Af7Jpmm98Tm27vskBPoT3ccIxJxTUPOYhn+NrOPrXPsPeA/x0awAf8oOiwuTPW8Cg5BoB4VCWCUSpQED+Cf4O4+KBhyqv7XuA1ky+BcLiu1Kfg1k56B2Oo6YNkn3sKyY/j6wMeqp3lG89OCnPWpULVi5Urckntt3DVkOA8v4TGxUWX5IqJYDYdzoLWUbAWTe42M5EUuVFKnPUcpMEnHjDT1UkgC+N75iJJBbv+zs9LUwCfJvJ+3V7B0YVSK6K1PdiIuIkpq2fpzWhI3kM+BcQvqDNtOWzBMF4P8Fi0pY8Wn5pgXBVFayWE4qpX9CfL4nJS9axCkC8tL4tCMfvEggvhWmHG/28TJYC+KqeslpMWC6mgcUPSDXyeQGwh39kzW7szsg1TdP8D8653w38hHNOHoWx2QM8XqTpPKOEI055H74Q6JQjvsBHKO5XfOjrv8Sjp2e4ha8x1yB2ER9pPfepd1nDbM+DuwBxi8l7XVmYtgBgSa1Y8mELiIXJl2WddG3F5O+VSfdNctBxZEtTjiKTPw9BJAFljybfqdwRvd8DoWja8nBqIIK8+I83fmnLnEV1VbCapkHLeQBhIGYL2r9kK52buaRvMiYZkUg1IOw9AaUc01QJs+amKNX+5dQDsJ6+WMBGg1gaCwljCrrEsWfuFwFh+zxe/VmYtjD5mpLlYpIvE1QTfVkQFp8SQKB9D8Y5+6zqaVdO0WBpBi9XiyllWbMqp3FOJutfmLYPHiVXi0m+8qXlH1h0QbgoC+owD7wQgDow/svFBBZTWLguwOt3vc2q5GrBzuyuyDW/HfjP8eD+QeD3NU3zz55Xw25sFXDYcMwJh5xSUHHC+/gcb3DOPk94xGsP3uI4BICzoDvrShZhTkCSa6LkkYBSA6F/buY0nvSSEYhmn6SJNPBKWfkgAhGIizI9JVPLQSLVyOCisLF3OOaE48jMpKysyNbhV3FdAcmzwLTBD0DrUjth21rbroUNl7WXa0zKnfxPwvrpktXPw9RMX8BynWYuFSTVNA1Kay24DTRTxbZTvwxVv9jBxVWQU3yGM+mA/HaSh2vJEefT/dhWkVO6/nskjz62PQjCSa6xQJwkj0xQ1YC52OOqrFkuQtllWTCZ+uPb8l8XkWlfLiZdpq1LncW/yKEBhFd4+akoq9Zc9lXQ1SPAVy7vO2cLAOfP2x3YXSqh/OPA/9g0zU+G2Sj/pnPuv26a5h88p7Zd3+TgzpaGyR+yYsIJx7zNazzhIR/ki8y5iEDQqduuCi95zC6BvXRSzpYUZR3T+bMAwuAlCDnougTvCQ854bhV1QBwb7biqjWwexl3ZRlB8iiy+CUTpqFKRYDslMMoe7RkJvABaea6skQY/BM5SMoD58xbF6v0jQB9txa/y7bT4KIHqFPVXs34pK2ShWhZomUxSDXR/6qesipWLTlCByjfV1PDtidJltC+I4ilCo/EhOfIgOtUZTECxElmmnZ9QxvIAgi3KjyKJJ+069gTEF8s5ywXkzZY5vwrJrwU2az0g5jdOvkyBA4fdK4WE1js5YGyNP8vplziM5LJbBn3WSpWRPNuAfEiA8TQBeMKv2zp9+OqrKnLosXsr0Ruq0p/zBZ0ffeBPKSntu3A7gzIN03z29Tnn3fOfQvwQ8C/+TwatgubHZ5zyCnHnEQ9+0kAV/luyZRHPEYqMXQlyTlzqiqw7dmKq7IOOm7N3kyXonmQfMyj6Ed054tQSSO6fJJrwlwfZe3Z9qxJDCo8cFgG51LlSBWBszuANo2liN06/IACEShT2rsq2pqzBBWbdgvIx/lnajMiZkBYD/6dtgLSBLmdRVdJaLbdkQ6sbq6qI84P5rEJvmqnXe2hsxXRh1MlRv/pbzVhPRAqZtn2apnRh9PCrTI+YakA9cyDsA1QGoiXlmkPlQnit3F5tt8CYVsyKEC8EoCXNi/ogqT4F6a9cFDNuJpdsghECEIGWunpC0JfCMBbMM6ZAHAJVHse7O2To+Rayfns6xddeGAKEG5qd0KTt9Y0zZeChHO7rCEe4OlsxVEAeRkgfYvXOOUwsHcPEMIuhU3GSpKQHhdlFZ/ybk3K6E5Dwi56tlywArh++/uKDU/jiVGUFZezpWc7ZcXebBVTUxmYE1BfBT99QCbZikgevnonXw+capFTP+jbxyEBjUg1WaZdKgRW/SS6s9hK9YtYqxQu7EPrppm4jW7bRXcWEJ6w4pz9Xjas9eGOnKL9GxAGWJVTiqLO++/IEgNzswhLnbXliOVi4p9vqo5Vhw1XRWLafb7FhAlXZQeExTcEINZyhwX43LYGQPiq1Z4eCWWd/ywY90hIm/jtk7V2BPJX3ItjbLfRbrSbTdNcrF/qJVkJ+1Ovrh9xymMesmTCF/kgT+pHFIVnklKSOOe8VUVyylGsCCjKiulsxWS6alV9FKHMUTNhAQEB4vMWgKa7V4VpF0XNdLbybGq25F5g8WKSBXgfaaBPm76pJpX1pZPuXlm3Lr57ZR1uOEmarfiRfbHarWayUrZWV2XHd2xTkADAM1Vf7riKASWnDWvW2g4iTRs0q5Krqma1mMYbZ1allz6KIrU9+q+TPBIBE+jVtXGAB+FF2E+rCcfFq3TzTgcwc2xYTIHwVQjE9zL+O7LEJpJECyQD4w792AFhWX4bELbbgPzguPbR57cPgHXm1odS1v+Q3yH/O7A7Ide856wkQJLX5aesuGDOk/oRT3/pw36Zr/PVN3POo3xzJkBfzz3wVgVlWbM/PWfKirpI05TWtejOAEfUQaqZsIwat67ZhnTDlS6hLMo6pNT+f2F0dRXm/SjSpEwSRPRNP+JfgkAVBhfFCsUQWxNYVQUsJlGz1SxVV3nokjhhrd1ZFusWOxapZbnw8siqnHBhmGr0XxXxPcoHAm7WKudBfzHlqqy8XqukiFzG1QLhWD1iTv2O9hwG5sqSy8WUy7Ii++Rx7S8Hmr3+SQy13Iv6c9d/5n0TQMuC5EB20efb/q4lId2FOSTpa2c2sGb89/nNrbuJ/7Ln9xvandHk31MWTpY5HpjTfClTnn75IXzWL/Or5Uf5wr/8mGNOImMWyeb8bN/rlAGYJGCA0sELf3PKqpqwKqecF/Modcjg4opJFjBX9TSxzsJLS3XVTqmB1l15ApJFofzVKSPQ/+sbcnqlpqqMgWWptpNjrEAE9vjghfD/vbL2ACrrKSngqqy5DIEux1S1tUsDbRBRbD6+7wFeKhCAvGSNaSCO3w19FmDc66/G6AOVbX9bZ0O+xGxZ4CZX+CZ+1zHkTW3I9039P0/fA+YV4hHkX5zJ+EwJ6aZtGbQs4PEMPkfUFb/w+kd49eDtyIzl7s7F2dzrn7PAtFkyD/Xdug5dywDaJL33pXJVVm+dzFYURZgkoFRstKhbjHkVZI8rC6rK7kkAUIBelnUWsDVIC7u9hC67jY7U1RH8WcCW/9tAXfo+BKjIM9XoV3/e4KbqFuvM3EGZ25VtAG8TbTfnc520sI3vIX99to7NXncbmwaubbexDpg39a+3M7T8cwH6OzKtwXvKKmDmmXxJjUz+tGICj/GPBj8BSjj72Pt5++tejbfEn3LE6fIoaKveXVF4Ji+16QUVMvlTXe2HgKC0WOBSpZ5x2oLDRQuMhTuX1FAsk3xDmrN8tZhydTZH67FXNr0t4aqEq1nDZVlxb7aKAaMsu9lB9Csacl9pG8G/zH0zI0gLDVdBvuhl57qiok/vFf+dl57wLAP44iNXVZGzXEVFbuDNyhVD7da+7Tb099Z/zrf9Lec7977Ov/2sl8lJLUPyyyayUZ+ta/fQNtb5t23uW3YTWeeaNso1L8sCk9dSSUXhwf1NPNjPgM/BFz/2oThT5SlHnJ/N4SwA1EyAt45ljECsza4EKM+cn/hBA4+cdFL/fjzjagZXs0vq2YrpbAVF0r911UZR1L7UbzHxYCm+c+Vt8QHiDg7DYN5sCbOk7+vStmgC8Na3TvkFuGZmOzOppumWzrUGCRfm1QfyetoI/S4afDqIbb/2s71wNfhqv0Om/dqAYi0bpNRLWy5oDFWz5IJSn+8+/+vAuC/46WyoD+CH/OcC0zYB0G6nz/r86s9DAWoH1uC6d4HfIrt7IC94MGsiOxdbMfUgL2w+gPyzN1/j7a89ZcKK0/qIy7N9D3yhdwoqpiwjk68p4230tTDWM7zvE9LFq08+uVv2EA/EBE17KtvoPnQB8IApvi0Yi8nduHEbDsowE2NrUDIFpjhj3yL41b7FvwaAQ7UdABwcenkmy+bFT59vMRtAxL+eUK1VWaNeNoBYwLQALwFXb1c+r/Otg1+f/3VBJOc/l5HovrEBatMgss639Z972eW3CVDWf9//er3rBKg+v7m257axA7szs1C+52y2TEAs+jmFB5zHwJfxF86bwJuOx48eMj+84OTxMZzspZs+gslA6jROxOQHWOuq8MtK8DghXcDQBklIwDVLj0KzAC8WA4iApQV68T+jDZ4lsNijnq1CjX8arE1sO8zYJ/7EvwXimfJ/bPapKslXnBgWnwN6sRzAyzastKAv1D7fuSxHB1n9vc62oH3xa//WtwX5mfo+F0RivxjfuUAiy8k+S/vjeZPxq/3nspttspy+INIH8H2+rf91QWQoC7Fgvy672SaI7MhGueYl2OzwPGrbUla4ZNpm3F8mgDwsPvCAxeECzmbpwg69I7r+lGWUbURauRKQF7+PSf9DG4TlxBbJQ1m7tjsN6rZ8y8uybZkC2Wxv6BFxXjOn619LTtAPwGXYB11VA6SSQtogrF9ygWmAyfnvS+stkOWAXveFgPChdUYbMPsAuC+IWIC3QcTeOm/95zIcy+SFbOgAIr/pPto0w7GBUwcRm4nkguBQEIG2/02DSM5/XxayDuQ3DSJ98ts1bNTkX5JNZ35qKZlbRqaZTQB8CV/e8yD/5fA6nrUvPsOYBOD1gxLoA3l5Aq6c4MekE/3M/y8Pp/CLJT0efCnklbDtHNBroNSAr0E5d+coqbqmA8QntIEY7Ysuc10Apb8xCVRQybFh7TvH5KWvZH8sOGi/OYDXvnMgf6i+0yCggdgCQJ/vIf/aLOO2ANkH9GI2iOR8WyDb1Lf410BuM5FclpPbh74AZc+XXBDRbbfHNpcp5EB+Rndb9rTPAfwuQf5qBPkXbjIrnpRFyoMd4gXLU+BBAvoPkA68BQuItwPpOnigzYg1GxYg1iAWB2D98nogVEo4fRVQMAkgNojEfSCBonwWbX4BLPbg8MLfLFQYWUX0+FwAsSCvg4jOHHKygZ3/RIOkzRQsi9cXao4h97FV7b8P5FHf9WUK64KIBUvpGwvwpfmsQTQHwjbDqTLr5QApx+RzvvuyEM3g+3xroNfAu0kWktuGlVLE+oJILlPQPmwAke/1cn0sXpONG1hz5eLd3bfR7h7IN0BJlFaWYdbJC+ZcvLufTh6+4pd//Fpi8tAGzcyF1QJ4oDV4eUKXbVuQPyRe0FcLPzWtZHr6LtbWAxbOMv41UGrANKwz3k2q7oCNMpBl8hqINZBZQG5d2F6yuQLQg7k5QOsDeb0t2QfNzoRt5xjkUBai26x92UwB2gBgQcwCvVgu0OXAUYNkH8BniEVvELHb0u3J9c06kM8FkZykYv3LNiwQ5/ohlymQ+d2Cuw2sGrw1wNt3vY0cyOcym2ta07jBB9y8bLt7IB9MBl397I91Ko2MF+lXgMs2yOuLHhKI9ViFkVM027YgLww4sHh/kslT49snSJxP3bJtq53rE1vLQurikLnXpcQx3QBF92K1urxNf3UQ0WBfivxTti8kO6hr2XYfyAu46d/WsWw7cAzd45nTbaEfyPp8a6A8NP9LVZaVFIYykJwcJAGpL4hIf2mgyoGwPg4WzPukINmO7f8+vznQtEE0598CfF8g0azbZjl9mYL+3Mfid8TkaRhB/oVaYPIykCnzxJxw7G8qWshCF/ijHbR5qZuXChJ1gsu8LVmzoNbH5MV3i115BlBP08Mu5CHZlZZqNgF5nSW0Lmrvq6hSSSUW5PvA0qbDlhnGCybUzedYvPWbA3lIAGmzBcu2+7IEO7ArPi2ozWj7lu/7QKYPiDXQ6EyhNL6HQL6PyVv/2ix7zwUo22Z9zLT1sXjtVy/bl4kMgXxuG3I+9YFwLlOwPnJBxJKeIf86cNzQmsZRXY4g/2Kt9LIKyMO5p/6BHmcBhLhQr6eJzesabXWC6JkYRZmXJ/l0mLzW47mERSjHPCRb675cTKkOvF+QbYU5ZXIXlAZh1Hvugl4Ai70446TMmBjb1AfCsf2ki+iEfBARQNN3t64DSrlwhQmHYxYzBJ0p6DO0jw3nwFJ8av82U9CgLH1pwbIPiKVvrPyRA+EcyGt/OSDOgbz0EeY76ZshFq/BErVOn2RhGfjQcd0E5LWfITllKEuw/u24jR003iSI7MQcV/VuoNQ595eBbwPebprm12V+d8CfBb4VOAe+q2maTw35vLMgL/q2PKzjMQ8VOMoRPweeeJB/jGfaNg0MpoE9An3dw7YriHIQ+8Dcb/vYLLOAy0WYure4SNupizB/eMZ3BDGZiquEE9fOFMzFcakmH/NP6aH/grW6s8gPs4xvzYjlTNoE4DVQacDUUpCwes2IN/WtgVJsZtazJX38/+1df6xlV1X+lvPezLxXZlKZsRTaYisUTRsxkFIQiUKs2lZkwNRY0ogpTZoi6B+GWGoTJTH9w5ioMfxoJoQgCVpJ5EcTSwoFIwaotGBLLWl1+BEYSqkDTGeub96bd2eWf5yzzl1nnbXPPefec+897876kpv7a5911tlnn299e+199lH/NVHy4ru0lQGqvQQvLz2u3lMkb1NBNk2R6t3Ydml7OR4xC4YoE2WK3D0irkvVaFi1b8+BulYqAVUfv7U5T5JnIPm4x/b4EID3APhw4v/rAFyev14J4P35exLLR/L5Ha+gyJbJAAAgAElEQVQy6Hoae3AMB/AMnqdIfjt/nQJwMtvoGAEHMSJL1TBOb+3GVv5QannGqjzqzb24sI2M5E8hI3kAg/XEhbGrlJc/g2xhsmzJAcd2yf4wt78/3T3fBORRbUD2eWy6o0hnIbM/oHS6RghNT6scF0SKE6UGrVNBpI7kk/7n8FI1npL3ApRXlzYA2tSKDohtSF6/W5swtgfq91RO3vrsqW1L6B4sUabq3ZJ8KlXjBZAmdWMDCJxttV1d/0DZvg4kqV5MW5wlYLMbKmXmzxPRpTVFDgH4MDMzgAeJ6Hwiej4zfz+1wfKRPFAcVfb8zXU8g+fhBz983mgOO4bIiHKIbCrlj4DjB0YpCdMNPDPchdN7Ro9+28pXodwSIq40nBMYkXz+bFisV9XVJoDNVWxtZkFkJV8OecuuKWPTHIV9OY6VdBDZRGZL1k/YpPSFVBDYSYxIfggM91d9l5dcUHLB1BFlQcAbGF3lThCpS9eklHuJ4FUvZzMfONfz2aW8JlGxX6fmi/rJA9TQ2Nrr2Nb1U1cvVll6pKaJXv+uy3tBySM1rdLFjg16Hlkn25iyb1N92k+7P+1PXbu0qtsLUl4qKGXfszkNmgeMg0T0sPp+mJkPt9jTRQC+q74fzX87N0l+A2tZqubZA9g+un80x7wg+G1khKNI/nyMZkzkr63NPdg6b/REJnnwh5v6ACMjYCHKITKSfy4wWK2qt0G2IuTp52QPBzm9tTudUtkU36UHIt9NELEEshco1kX31GNJBW9gFKCkeayhyON7al6TQeoCLUhmI/dd/Ebmu6dsdboGSF+oJQLewChArQLYNwqYOg0kQQVqH40ClPQCc/vD1XJPRKe2LFIBpEQ4ekX81VH9WiWfClBePZYIXhZ3ohFpe7CpkFSQsr0bCYByvB75abUtsGJJv6ds2ECY8t3a75rk1SNHG+AYM181xd686X61a3MvH8nns2vO5E9SOol92Dz63GwN+RLJA9mZyQdfsZ2tWWO7zZtZHjt7bN/a6HmhMCmVorGfMi/57QSwecBVb2cH69jYu4U9e0/n0zz3VC+igmhyW0UvYQ0ZseWDvPbi1gQ1rktc+Kp9zyXf8ICvnK1y8gJHUTeSBhIlr8h4YHwXQta9hJSSL+xLADS+SxARf7Vt7fsQ1Tqv9EAkcANFKk6IXhO8ttlEyRf2RXys5u/rVYIfGNvy2fpfIkk9o0wOeg1FysxT8qmcvEuUwnQqAGI1HUhSaR1b9wV5bqv31XxDFahsr8erm36Q/LQ4CuAS9f1iAE/VbbB8JA8AK1zc6Xr8zPmjNWpK6RpgRAp5+mNwoHxhFA1jDzbOrOPkrn04g1PZk6PO5MsRV4hSVLaQmfyWE4+roAmbe9dHzx/VyxbrcgBGBC8kr+zbnoJ89tIRHmEXuX7Zx6qyz+XjtQQlKS4vOJXqRno5+mJdQ6Fa9fZCmHLBpkimuFhtGisnYayiMqPIU8Op3k0lgNjnT+VpIc+2JnmPxCoBxAaonCzFriZk7XtduqMgeEvyQwD7gCH5ftcp+Urvw9aLOgdiX/81rpdWIm5r39SNbJuy7dnvkpQZ1SYxO9wL4B1EdA+yAddn6/LxQA9Inoj+CsBvIXtw/TcA3MzMx/P/7gBwC4AzAP6Ime9vZHRliC3swRC7slUlNckXZCYpGyGeH2UkXyF4AAPCyeP7sPvAVvHov5PH91XJbAiMGqNOG6yNfrdpj4LQ9mJ7uGukxj2yLF2sDsnLAKy1X0fylQClX0Nl/ySwub9cXhNDSkmWAtRJlH0X+6tZHQ0MEeuZIyvGfi0Ja6KU+ldplXHpGkvEpTq2ZJMbGK6P7NvgJ/CU/DDluxq0x/5yb0EwTsnX+r6q/N9XJWLPvkvCuk1akpeN18tELEgp7RLB616frXcVxD2it8eS7B1MCQbMquYTg4j+EcBrkeXujwL4c+Rqi5nvBnAfsumTR5BVzs3jbC6c5AF8BsAdzDwkor8EcAeA24noCgA3ArgSwAsAPEBEL2Hm+geF5shWnlzD2WPnOSSvoYkevtIaANvH92Gwdwun92azarY9kgdQJUlDnAND8qXBXofgS0SmbUnjl99PALgARf7ZkrwUtUq81veh+X1/OoDodI1rXwc+S/L5b/r49XIQKZKvqPhEqgknUBpXsD0cL11TG0Csosx7I5sJRWzTNbX1Lr5r5IpVtrG2U/bdAKJ9VwPUktJqouQL24xyr1XLYz3mgpF9bS+l5EsEL21R2/fIWRF9Xbqm0jvoAB2ma5j5zWP+ZwBvb2Nz4STPzJ9WXx8EcEP++RCAe5h5C8C3iOgIgKsBfKmJ3S3sydaqkbXjheQBVBujIs7N9bKaF0I4ThisnI+f2Hs6WxbgODnru7OyJwS/Vt7HpjPdMX8UYaEC9V2tFaVt887m901nADZF8iWlrUlYLiptP8/7D1artoEy0VjbRQ/HErxciaYnMsAobw6UibIRCQ/VPqRbn6efJIBocrQk75KwDVDaMbFvBpCt79Z/l4RTJJ8TsRUpdUq+0vPzfBcjKi0EU0S3HTc42bEKmA3lGFZH11YqXVMhYd3mdappFeU2mu9DNyuNEgl719AUmG9OvjUWTvIGbwXwT/nni5CRvkCmCjXCqf9bw+DY+RmxC9E/DRRkVUBahZDwerkxl8hsFWf35g1Jk3BFaW+rl/59o0qEouQtyQ/MPobW/tCxr/yX7UWNyfsmxvguBJ+TIjYwSjedqqabxpF8QTZWaYvS0/vZKPuvCQzGfiVFZntPArGv1LxNM6WUvBtAbFpC7J9EkfvXRGnTWSWi1APR9tyuOEby2Tw6LWFJvraHkCL5nIDl80D97dkHlM/a93Ekn79LPVuSL+D1PmzvzNaRjMHkg8ku6Qob6+DUAYLkASJ6ANlivhZ3MvMn8zJ3Iquqj8hmTnl3qhAR3QrgVgDAwRcCw5Vslsqx1YzYheQHQHYx2jMiJz0ffNUXi5AlMFIgQ4wWISupYZ3m0H1DPQZgttH265R8aXaEVqryWVI2B6r2xTbMMYltlyjlZXoiWm3reqlT8hW7+oIFSkEEKrddR/KFbZsT1hevIpaijEnZ1JE8gCqR2QAl9tUAsg1+luRLtr3gB5TTWUppyyCv+Kuv4BLB67qwvQQbSHRaJZ+1olM3sq8CXuDTbVLspJhPzYwpQZOwnWCgRY0XCFfN53wfJbu6R6DHzKZEkDzAzNfU/U9Ev49svYZfzXNOQIupQvnNBIcBgF50FWNI2WJkouKFkEUtlpRYfjORvgjs4J8mMPmsV5ssiFgaklbxpqegUx6itPUiYB7JF0SpLy7Zl2aQYdm+7ENsy7FVSJgxavTWf6kbuTCUfV03evBS+w7ru9S/loqG5AarZZLX9e6mgTaMfasgdb2tldW29b008OcpSv3SQWRlZN9Tw5rka21b4hG7iuRt/lzbh9i2wUOTpYYOunI8+TG4xOWlxsSGva4s5FysqWPRfqR6Tbq96/KpKJTK1+hZOjrodYBzneTrQETXArgdwK8ws+4/3QvgH4jor5ENvF4O4MtjDTLyC4lGCv4YkF38P4Cv5DUJM0p3hQoZ2BSCJWLIPqzaloat1PamuvFK8vFaDdsHeCRTQVbJK/sDYzul5CtK23a9nYtP3wAElNc7twO7SVLQqaZVU0apYe27VfKlgT+vl6NZcA1FygYrwMCo4Uq6Q1JM+px6xCC+r+RlV1CZDaODCMS2JTOr5C2EFMVYPjVRjqFAiih1AJF2aa8DSwdNSDjlu+7paMiMGI+kbR7eihoPtlfo2bb2bY5/SpxFeVC5Z1g4ySNbjGcPgM9kC6zhQWa+jZkfJ6KPAvg6srPx9qYzawoi0Epeli+oKAKBEMOpcl4YGLUZrVzFvpClXb642FDeVSOT7YWEx5E8gKoa06kge4GgnDOvU/KFba3G9DFYpX0CwL6MJOtmkCQHXE3qqnQMYj9X2zJesWnsF36fRDkdoXsJXk9KcvNqENNyQ/E9RWI2gAix632Y/HOJSyQw6RvabHDSvYTcThFIYH7Xv9lg1ETJa9gct7Y/juR170+2X8eIhFMjoTqt4w226mvKBpEhRqk+vV81tbL4TfY5A5KPdE09mPnFNf/dBeCudgYxItBSquZHGC0FoBsYUCaZoVGLqIpCIZsSEUsPwSMZq0ryG4uOo6zykr0E3Sj1BQH1WV9wG8BgvZozX0FZyR+XbS3hwLzbC/wkivVsgHLw0ykVNyVhlbzswwaS545yz3bwz0136D9tbliIWAhB2sF6QoHJ0guWZLR9+S42hRBXjS2rVlMkaWeo6EbnEaXsW2McCet6t3UkwVzbtoFYXyep4KcD1IapD912U+ka29ZsfXvw1IYNHvK/rguvpzEBguQXAFHZRapGut4najZSDWugBhe1Crb70A/BqO1uawLKSWZzf5nkdSOprOtuB6G8noIOJCdRmm6n+aJEwinbNoCsoHqB52obKAeoyswRsa8vME/JW4I6iWLdmQokMNkpn5Zs5ICtmtdpD0+t2h5CnRrWBGlJ3iryFAmngp/2SZOwZz9FwkO0JzVN1rZutH3dXnSA0A3Ogzc7xiN5Oa9eveiy66q8BKcUyWvbqdRYSwTJzxmi5CupGukiW/UjOXPk72qaowyMekSslXwxcKkbnlU1+mLI/RislnsGAp0zLy0Ypskgle4QVZhPR7TXnJD8UGzb7nFTpZ3nnjetcpX60CkJ8cn6rt+FgMW+YA3lZqp98PLxVq0KCYuat8pS/yb1aJW8F0AkXWB91/BIPqXmx6lVC+t7yr53x6iFl0rxZsdo+9uotpsmpGnVtv7dXj8b5nsKtscgx2TPh91HRyQvpnuK5SR5naopSF4IB6g2CKAc5XmUc7Z36cm7kOUmUL1dX0OIxiHK4YGRWrck7w4seg3TphCUkpd51W6PQRSrJuJU49cXnaQnhIhlbrL2R/6vsy3vWgVvq8+aeD0StkSmVaW+4iwJNyF5S8CpACL+Az7B61TOtirnqeE6otQ9D+u7Vau212Q/e/DIsAnJW79T5W37aELynmBqArGb6lF7vb0pEUp+ztAk/zSAob0RRy5o76yoi+94tqywnw/WnyV1cNIpZKGVfE4uw/3VAdihHIgEJy8/LPb08Vi1DQD7UJqJUaRRLMHbAKWPwaZrTphyul7FjpcGSvUSVo0dPVbikXwdCWv7llytutNEDFXOI2EvgGgilBOoFb0Qjv6uj8GbjaW3099TRHzK/GZTHk1JzdqxJO+lPCwR63IWNiDZ7qXe1gt6dSyq/dXtxQ682mPoiJnPonkmbAFYPpI/i7KSL1I1+uK1KRvAVcKpnDkAnyztHHyBd/Hld0gCmT9DPS9ZSHLcDSG6vDRyUdsn1H8yL1m+eykPTcLWd01CNu2RUmRyjE2DiE6r2H2PywvX9aL0PuyVmFKr0lZSd3N651jbtkLCIzidvkr1QDRsMLL1Lr9ZUm9DlrqsnWKp251tz3UByoP8b1NN+hiaBo9UPVgfbP3X2WwJBtBs3t9CsJwkLyq+mFUjz1sVMtQkbxWTXIAbKFbPK92JB/iEbRWZbUC2vOwbKKcoNAlYte0R8bayI/+fMP+fQpUoPTXsqT7xSUhSK1WrtLUPNpXiXWS6bjy1KnfbWkVmSdjr3gOjc6u7SNp3nU6x9jVBemQG+OdYBwSPULWY8BSltqmJVrcVq1j1tikCtsTmzZO3x5Jqw/ZcpgKUR/ZCwN7+U7bhlPWgewgpsWX30xE6Ntcllo/kJV1TmR5oFamGVbmS006pL/2bKGJNOClYNSwpHgk6usspJKlneqRakj42m5bQF5X12+azx130HhGnlLxVwin7lsR0oIX5T9u3JCzH5vmm97uGKlHqNuERZIpwPDLRAqJJry4VQGR7nQbT/qV6Ial9WH9Svul8uVef2gfvcx10W0m1Nc+eZ1/Om+dnKgCmbE2JyMnPGZKuOQ5U0xGi3rwuHlAmWFH/QJkYvQZeN2gGVdZTw/Kf54cm+G31qrPv5Z1TU+G8dESKOLSit6QLx36KhD1F6dnR+/B6Cqlz4vUSNFIpDl3W7iOlKFOk5Q0sWn9SBG/tbKvPutehy9ZNF0wR5or53cLroen92v3U2fDOybi68b5b23Xw6saz3QGC5OcMmUI5AKqzO5pAq2iB7b7bBm5TKR5ReikDgTfbR1T2EGm7FlbRi23PH+uvDiB1F5X13wYBKeMpYbuN9tv7LKSWukityk4FEG9fqa59HYHV9URsyieFNikJ618qDeH5WEfw+nOd/aY9BmtToHPvKdXd5Dg8+zpIjUs91fVIOkAsa7AAlFZW9BYk011q3UD0RWe7x97gnlc+hSHGq2Ft1yrVOuXkEa1NS1hf6ki4DmJLbNv8qkf0loStvZRiFDveLIwm/jYlAO/2d72fVJDy/LZjPN559s5lyscm5KiRUsHT2B9Hkm1t1+1vHLnb37Qtbwwj5WNHBG/d6SGWl+QrS/NqeI1O/2eJUeevvYvdDlymoBV9XboGqoynyOrsA2Wyl989IvNUZZ3dFJoqvTpbqQu5SW64ro68Yx+376b+p1RqG8VtP+sydgZTk6Cl7XkE5wWolP3UDJWU7ZQvbVS3tj2JfYzZRxvbDRHpmjmjqHCrYptGbq3M5cxpsrWKXRNMkzPtXdwpkk8pyXFIEZH9v06lttmHxTglPA5NScAj4TqbTYhYl0+pYutLKh1RF6A8e3UBqi3R1xG8tW3to2YfdSRp/ffGW7wgk9o+Zd9um1LvdeiQlef7IO/WWD6SB/LzZ0nSQ11DTq05oglLz4ZpClvWm7Mv5doSfdOG65Fwm+2AepJsqvJ0eX0umuRwm5Kwte8RsbWrbbUNTk2I2CPKcb5b+8B4ohwXvFNEX+ePZ7tr++OCSx3Zj6O0GUjumCc/ZxRKvq16FFji2zavVO+gSVDxGuE4EmuaS/QuqBQ8Apu0p5CClwZq00vw8quT9Dia7sP+1+Q3awuoJ+JxSrUJJiHKpr5b+01sT2IfiX20TRda254Nb+C4Y0S6ZpEQYhaswl/IyOsm2xuM5OUp+Un8alOmDaE1VcMe8Ta5WNukDdr2cDyfU7ODBE0DiLXfZJtJr9wm+2gTsNoQ8aTtMSUQmsxrb2u/zt4ktuHYb7KfjnIsMvzXUyw5yWukGkHqP51n18EipdQnIZkm6ZdJ0gZ2f3VlJrFt95Gyq223DVSTduvb2m9iexIiS+2jjQoeZ7/pdpPYb7KfSYJ4m/Jt0MZ+xwn0SNfMGYwGR1XXGESxa4LURFWnfNvmxNuScNtAklI5qbztOLRVw5MGJtm27kROkrqx9uHsY1IStvY9W9NipxNlU/uTkvA4VT+N7RpEumbRkBRN21ydNEhNtJb0p60+r9Hb/U6KrlMGqW2bpA0mPZa6nPy0tu0+usIyEOUsSbKOiLsi4BkQeR2C5BeA4qi8/HsbeAOsGm1Jp26ALmVjVmq4qxTNPEiyy33Mo1vfZB/TENGsiXIeJDlnIp4lYgrlnMHyQS6AFfUCyoecOvxt9X9qSl3brrO23XS7LtVwHWbZQneiWp3Gtt2+LlU2LXrMLOcaepyT/4lFOzATrFQ+TAgvJ++9T2tfPtuXYJLc6izKtt2mC7U6C9uyfaoX1TUR61dg6SBr1zR5jQERXUtETxLRESJ6l/P/a4noWSJ6JH/92Tiby6fkgfyoZE0VnZOfBaFpVTjNAGDXWGTKYFrbdfvomiiDeANToqN0DRHtAvBeAL8G4CiAh4joXmb+uin678z8+qZ2l5PkAfjko1M44zDpzJmuMS0Rz5KEtZ22gW6SfQQCPUR3UyivBnCEmb8JAER0D4BDACzJt8LypWuKKZQrziuFSXLrGpN0xVPl66ZoTgJrY1Zpg0hHBM5heNnWugysj4sAfFd9P5r/ZvGLRPQoEX2KiK4cZ3SJlTyhnK5pc0uavWFp3rMNIiURCOwYtJtCeZCIHlbfDzPz4fwzJaxrfBXATzPzgIiuB/AJAJfX7XD5SL5UJZKXB9JqXWbQdDE3vS2CfAOBHY92Dw05xsxXJf47CuAS9f1iAE/pAsx8Qn2+j4jeR0QHmflYaodLnK4BMuJukq7R5QOBQKAFRMlPn655CMDlRHQZEe0GcCOAe3UBIrqQiCj/fDUyDv9hndHlU/IlyOHpdI1V9m1uy+/xbW2BQGBx6IAamHlIRO8AcD+AXQA+yMyPE9Ft+f93A7gBwNuIaIiM1G5kZpvSKWH5SF4OdwXAUPLx9hF1FnNYjjQQCCwnOrzjlZnvA3Cf+e1u9fk9AN7TxubykTwwGjcdaoKfxEggEAiMQaxCOWdUOi52eYMg70Ag0CFigbIFoTRXfpJplIFAINAAZ9FrallOki+mueucvHy3IXfc1MmY5hgIBMYg0jVzRGWevF19cppDjnRPIBBwUDu/ZbFYznnyBQ+vmtfyxbRAIBCoQ29InojeSURMRAfVb3fkS24+SUS/0dhYQfJWvcfNToFA4NxCL6QtEV2CbHnN76jfrkB2x9eVAF4A4AEiegkz12e/Kt0mO/CaysFHKiYQCCwf+qLk/wbAn6BM0YcA3MPMW8z8LQBHkC3FWY9SukYWKQOaL23gIcg/EAikINNrmrzmj4UreSJ6A4DvMfOj+ZIMgosAPKi+p5bdBBHdCuBWAMDqCx1OXvhhBgKBpUW/H/I6F/YjogcAXOj8dSeAPwXw695mzm/uGHa+VOdhAKC1q0wZvVaNDL5Oe0IWsWJlIBDoJ/p9N9RcSJ6Zr/F+J6KfB3AZAFHxFwP4ar662thlN/2dwVnxLQZcA4HArNBvJb/QnDwzP8bMFzDzpcx8KTJifzkzP41sic0biWgPEV2GbGH8LzcyXCJ5vdSwqHmgzyclEAjsJAjJN3nNH71NVudLbH4U2fMNhwDePnZmDdDrmxICgcAygtHndQ16RfK5mtff7wJwV2tDJSWvb4bSv0VePhAIdIHIyc8XouTdOvemUQZRBwKBadDvnPxykvzEUyjtDVH9PXGBQKAvCCU/f5TqWy9tYNM2gUAgMC1CyfcQMle+vycmEAjsFISSny/GPoorlHwgEOgS/X5qyPKRvAvv4SHeSWkSjWMhs0AgoBHpmvmCKx8CgUBgxuiv8Fs+ki8wj0qPufKBQCCU/HxREvCpdeNlpk0Xz3YNog8Ezm0Eyc8XBclvo6zmU4c6rPkvEAgExiFm1/QI0wy4BgKBgIeYXbMASGTdhj9lsutplJGyCQTOXUS6ZkGw6RqLuoeH9PeEBQKBvqHf6Zq+POO1Y0iFC9Fr0m6r4vt78gKBQB/Q3XryRHQtET1JREeI6F3O/0REf5f//zUievk4m0tK8oJQ5IFAYNbQj6Mb90qDiHYBeC+A6wBcAeDNRHSFKXYdsgcoXY7sudbvH+fdkqZrdKrGI3q5A7a/gyWBQGCnoLOB16sBHGHmbwIAEd0D4BCyBycJDgH4MDMzgAeJ6Hwiej4zfz9ldAlJ/isD4LwnF+0FgIMAjoUPAPrhRx98APrhRx98APrhx89Ob+L79wPvPtiw8F4ielh9P8zMh/PPFwH4rvrvKIBXmu29MhcBOJdIHk8y81WLdoKIHl60H33woS9+9MGHvvjRBx/64och3InAzNd24QsA8sxPUKaEJc/JBwKBwI7BUQCXqO8XA3hqgjIlBMkHAoFAP/AQgMuJ6DIi2g3gRgD3mjL3AnhLPsvmVQCercvHA8uZrjk8vshc0Ac/+uAD0A8/+uAD0A8/+uAD0A8/+uADAICZh0T0DgD3A9gF4IPM/DgR3Zb/fzeA+wBcD+AIgA0AN4+zS9kgbSAQCASWEZGuCQQCgSVGkHwgEAgsMXYUyU9zy++4befkw7eJ6DEiemTaqVsN/Pg5IvoSEW0R0TvbbDsnH+ZZFzfl5+JrRPRFIvqFptvOyYd51sWh3IdHiOhhInpN023n5MPc6kKVewURnSGiG9puuyPAzDvihWwg4hsAfgbAbgCPArjClLkewKeQzSV9FYD/aLrtrH3I//s2gINzqosLALwCwF0A3tlm21n7sIC6eDWAn8w/X7egduH6sIC6eA5GY3EvBfDEAurC9WHedaHKfQ7ZgOYNXdZFX147SckXt/wy82kAcsuvRnHLLzM/COB8Inp+w21n7UOXGOsHMz/DzA+huq7D3Oqixocu0cSPLzLzj/OvDyKbW9xo2zn40CWa+DHgnMkAnIfRjTTzrIuUD12i6fH8IYB/BvDMBNvuCOwkkk/dztukTJNtZ+0DkDXmTxPRV4jo1gn238aPWWzbpZ1F1cUtyHpak2w7Cx+AOdcFEb2JiJ4A8C8A3tpm2xn7AMyxLojoIgBvAnB32213EnbSPPlpbvltfSvwDHwAgF9i5qeI6AIAnyGiJ5j58zPyYxbbdmln7nVBRK9DRrCSA557XTg+AHOuC2b+OICPE9EvA/gLANc03XbGPgDzrYu/BXA7M58hKhXvqi56gZ2k5Ke55bf1rcAz8AHMLO/PAPg4sm7hJJjmeOZZF0nMuy6I6KUAPgDgEDP/sM22M/ZhYe0iJ88XEdHBttvOyId518VVAO4hom8DuAHA+4jojW2PofdY9KBA0xeyXsc3AVyG0WDIlabMb6I86PnlptvOwYfzAOxTn78I4NpZ1YUq+26UB17nVhc1Psy1LgC8ENkdgq+e9Bhm6MO86+LFGA16vhzA9/K2Os+6SPmwkGskL/8hjAZeO6mLvrwW7kDLE3c9gP9GNvJ9Z/7bbQBuyz8TskX3vwHgMQBX1W07Tx+QjdQ/mr8en8aHhn5ciEyRnABwPP+8f8514fqwgLr4AIAfA3gkfz28gHbh+rCAurg9388jAL4E4DULqAvXh3nXhSn7IeQk32Vd9OEVyxoEAoHAEmMn5eQDgUAg0BJB8oFAILDECJIPBAKBJUaQfCAQCCwxguQDgUBgiREkHwgEAkuMIPlAIBBYYgTJB9s7GwwAAAHASURBVJYCRLRGRP9GRLs6trubiD5PRDtpnadAoECQfGBZ8FYAH2PmM10a5Wyp2c8C+N0u7QYC80KQfGBHgIg+lz8t6BEi2iSi3zFFbgLwybzspUT0BBF9gIj+i4g+QkTXENEXiOh/iOjqNuUAfCK3HwjsOMSyBoEdBSJ6G4DXAXizqHYi2g3gO8x8Yf79UmSLgb0M2RooDyFbD+UWAG8AcDMzv7FFuV0Anmbmn5rPUQYC3SGUfGDHgIjeguzReTeZtMxBZAugaXyLmR9j5rPICPyznCmaxwBc2qZcvq/TRLRvBocVCMwUMZgU2BHI0zM3IVuL3T5O8BSAvea3LfX5rPp+FuV237TcHgCb7T0PBBaLUPKB3oOIXg/gDwD8NjNXiJazZ6fuIiJL9F3t/wCA/3WCSyDQewTJB3YC/h7Z03m+kA+83uKU+TTKj9TrEq8DcN+MbAcCM0UMvAaWAkT0MgB/zMy/NwPbHwNwBzM/2bXtQGDWCCUfWAow838C+NdZ3AwF4BNB8IGdilDygUAgsMQIJR8IBAJLjCD5QCAQWGIEyQcCgcASI0g+EAgElhhB8oFAILDECJIPBAKBJcb/A9j+Fa2+j+UGAAAAAElFTkSuQmCC)
%% Cell type:code id: tags:
``` python
```
%% Cell type:code id: tags:
``` python
```
......
%% Cell type:code id: tags:
``` python
import sys
import numpy as np
import xraylib as xrl
import matplotlib.pyplot as plt
from pathlib import Path
# path to fresnel (adjust if necessary)
sys.path.append(f'{Path.home()}/fresnel/')
import fresnel.solver as solver
```
%% Cell type:code id: tags:
``` python
%matplotlib inline
```
%% Cell type:code id: tags:
``` python
import fresnel.solver as solver
```
%% Cell type:code id: tags:
``` python
energy = 12. # keV
# geometry
wavelength = 1.2398 / (energy * 1e3) * 1e-3 # mm
nx = 1024
ny = 512
nz = 1000
ztot = 0.4 # mm
wg_radius = 25e-6
xtot = 10 * wg_radius # mm
ytot = 10 * wg_radius
# units
dx = xtot / nx / wavelength
dy = ytot / ny / wavelength
dz = ztot / nz / wavelength
print(f"dx: {dx}, dy: {dy}, dz: {dz} wavelengths")
```
%%%% Output: stream
dx: 2.36303234392644, dy: 4.72606468785288, dz: 3871.592192289079 wavelengths
%% Cell type:code id: tags:
``` python
density_Ge = xrl.ElementDensity(xrl.SymbolToAtomicNumber('Ge'))
density_Polyimide = 1.42
density_Si = xrl.ElementDensity(xrl.SymbolToAtomicNumber('Si'))
n_Ge = xrl.Refractive_Index('Ge', energy, density_Ge)
n_Si = xrl.Refractive_Index('Si', energy, density_Si)
n_PI = xrl.Refractive_Index('Kapton Polyimide Film', energy, density_Polyimide)
print('Ge', n_Ge -1)
print('Si', n_Si -1)
print('PI', n_PI -1)
xx = np.linspace(-xtot/2, xtot/2, nx).reshape([1,-1])
yy = np.linspace(-ytot/2, ytot/2, ny).reshape([-1,1])
core = (np.abs(xx) < wg_radius) * (np.abs(yy) < wg_radius)
cladding = ~core
refractive_index = n_Ge * cladding + 1 * core
```
%%%% Output: stream
Ge (-6.426292114225518e-06+7.120128111534574e-07j)
Si (-3.3845180545943876e-06+3.810012288290064e-08j)
PI (-2.1023289580313076e-06+2.2059592416020462e-09j)
%% Cell type:code id: tags:
``` python
u0 = np.exp(-(xx**2 + yy**2)/ (2 * (2 * wg_radius)**2)).astype(np.complex128)
boundary = (0, 0, 0, 0)
propagator = solver.Propagator3d(refractive_index, u0, dz, dy, dx)
```
%% Cell type:code id: tags:
``` python
field = np.zeros((nz, ny, nx), dtype=np.complex128)
field[0,...] = u0
for iz in range(1, nz):
boundary = (0, 0, 0, 0)
field[iz, ...] = propagator.step(refractive_index, boundary)
if iz % 100 == 0:
print(iz)
```
%%%% Output: stream
100
200
300
400
500
600
700
800
900
%% Cell type:code id: tags:
``` python
result = field[:,ny//2, :].transpose()
fig, ax = plt.subplots()
im = ax.imshow(np.abs(result)**2, aspect='auto', clim=(0,4), cmap='cubehelix', extent=[0, ztot, -xtot/2 *1e6, xtot/2 * 1e6])
ax.set_ylim(-2e6 * wg_radius, 2e6 * wg_radius )
fig.colorbar(im)
ax.set_xlabel(r'$z$ (mm)')
ax.set_ylabel(r'$x$ (nm)')
result = field[:,:, nx//2].transpose()
fig, ax = plt.subplots()
im = ax.imshow(np.abs(result)**2, aspect='auto', clim=(0,4), cmap='cubehelix', extent=[0, ztot, -xtot/2 *1e6, xtot/2 * 1e6])
ax.set_ylim(-2e6 * wg_radius, 2e6 * wg_radius )
fig.colorbar(im)
ax.set_xlabel(r'$z$ (um)')
ax.set_ylabel(r'$y$ (nm)')
```
%%%% Output: execute_result
Text(0, 0.5, '$y$ (nm)')
%%%% Output: display_data
![](data:image/png;base64,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)
%%%% Output: display_data
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)
%% Cell type:code id: tags:
``` python
```
%% Cell type:code id: tags:
``` python
```
......
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......@@ -7,12 +7,12 @@ _k = 2 * np.pi # all lengths are in units of the wavelength
class Solver2d():
"""
Solver for 2d PDEs of the form
u_z = A * u_xx + F * u
Az(x) * u_z = -Axx(x) * u_xx + F(x,z) * u
"""
dtype = np.complex128
def __init__(self, A0, F0, u0, dz, dx):
def __init__(self, Az, Axx, F0, u0, dz, dx):
self._nx = u0.shape[-1]
self._ones = np.ones((self._nx,), dtype = self.dtype)
......@@ -23,77 +23,167 @@ class Solver2d():
self.dx = dx
self.dz = dz
self._compute_coefficients(A0, F0)
self.rz = self._compute_rz(Az)
self.rxx = self._compute_rxx(Axx)
self.f = self._compute_f(F0)
def _compute_rz(self, Az):
return Az * self._ones
def _compute_rxx(self, Axx):
return -Axx * self.dz / 2. / self.dx**2 * self._ones
def _compute_f(self, F):
return F * self.dz / 2. * self._ones
def step(self, F, boundary):
up = self.u
fp = self.f
def _compute_coefficients(self, A, F):
self.f = self._compute_f(F)
u = self._boundary_slice
self.rx = A * self.dz / ( 2. * self.dx**2 ) * self._ones
self.rc = F * self.dz / 2. * self._ones
# set boundary values
u[0] = boundary[0]
u[-1] = boundary[1]
self.u = _solver.step1d_A0F(self.rz, self.rxx, fp, self.f, up, u)
def step(self, A, F, boundary):
return self.u
up = self.u
rxp = self.rx
rcp = self.rc
self._compute_coefficients(A, F)
class Propagator2d(Solver2d):
def __init__(self, n0, u0, dz, dx):
Az = 2j * _k
Axx = 1
F0 = self._compute_potential(n0)
super().__init__(Az, Axx, F0, u0, dz, dx)
def _compute_potential(self,n):
return _k**2 * (1 - n*n)
def step(self, n, boundary):
F = self._compute_potential(n)
return super().step(F, boundary)
class Solver2dfull():
"""
Solver for 2d PDEs of the form
Az(x) * u_z = Axx(x) * u_xx + Ax(x) * u_x + F(x,z) * u
"""
dtype = np.complex128
def __init__(self, Az, Axx, Ax, F0, u0, dz, dx):
self._nx = u0.shape[-1]
self._ones = np.ones((self._nx,), dtype = self.dtype)
self._boundary_slice = np.zeros_like(self._ones)
self.u = u0 * self._ones
self.dx = dx
self.dz = dz
self.rz = self._compute_rz(Az)
self.rxx = self._compute_rxx(Axx)
self.rx = self._compute_rx(Ax)
self.f = self._compute_f(F0)
def _compute_rz(self, Az):
return Az * self._ones
def _compute_rxx(self, Axx):
return -Axx * self.dz / 2. / self.dx**2 * self._ones
def _compute_rx(self, Ax):
return -Ax * self.dz / 4. / self.dx * self._ones
def _compute_f(self, F):
return F * self.dz / 2. * self._ones
def step(self, F, boundary):
up = self.u
fp = self.f
self.f = self._compute_f(F)
u = self._boundary_slice
rx = self.rx
rc = self.rc
# set boundary values
u[0] = boundary[0]
u[-1] = boundary[1]
self.u = _solver.step_AF(up, rxp, rcp, u, rx, rc)
self.u = _solver.step1d_AAF(self.rz, self.rxx, self.rx, fp, self.f, up, u)
return self.u
class Propagator2d(Solver2d):
class PropagatorCS(Solver2dfull):
def __init__(self, n0, u0, dz, dx):
A, F = self._compute_helmholtz_coefficients(n0)
def __init__(self, n0, u0, dz, dx):
super().__init__(A, F, u0, dz, dx)
nx = u0.shape[-1]
self._x = np.linspace(-nx * dx / 2, nx * dx / 2, nx)
Az = 2j * _k * self._x
Axx = self._x
Ax = 1
F0 = self._compute_potential(n0)
super().__init__(Az, Axx, Ax, F0, u0, dz, dx)
def _compute_helmholtz_coefficients(self,n):
A = 1j / (2. * _k)
F = 1j * _k * (n*n - 1) / 2
def _compute_potential(self,n):
return _k**2 * (1 - n*n)
return A, F
def step(self, n, boundary):
A, F = self._compute_helmholtz_coefficients(n)
return super().step(A, F, boundary)
F = self._compute_potential(n) * self._x
return super().step(F, boundary)
class Solver3d():
"""
Solver for equations of the form
u_z = A * u_xx + C * u_yy + F * u
Abbreviations:
'rx' : A * dz / dx**2