Commit f735ec7a authored by vincentvigon's avatar vincentvigon
Browse files

passage a gitlab

parent 23e577d5
File deleted
.idea/
**/private **/private
**/build
**/__pycache__
**/.ipynb_checkpoints/
**/.DS_Store
This diff is collapsed.
No preview for this file type
This diff is collapsed.
This diff is collapsed.
This diff is collapsed.
This diff is collapsed.
This diff is collapsed.
%% Cell type:markdown id: tags: %% Cell type:markdown id: tags:
# Analyse en composante principale # Analyse en composante principale
C'est une bonne technique pour visualiser des données multi-dimensionnelles. C'est une bonne technique pour visualiser des données multi-dimensionnelles.
Travaillons tout de suite avec des données de dimension 3. Travaillons tout de suite avec des données de dimension 3.
%% Cell type:markdown id: tags: %% Cell type:markdown id: tags:
## Créons et observons des données gaussiennes ## Créons et observons des données gaussiennes
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
import numpy as np import numpy as np
import matplotlib.pyplot as plt import matplotlib.pyplot as plt
%matplotlib inline %matplotlib inline
``` ```
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
def create_gaussianData(): def create_gaussianData():
nbData=400 nbData=400
cov01=5 cov01=5
cov02=-1 cov02=-1
sigma2=np.array([ sigma2=np.array([
[20, cov01, cov02], [20, cov01, cov02],
[cov01, 2, 0], [cov01, 2, 0],
[cov02, 0, 0.1] [cov02, 0, 0.1]
]) ])
"""peut-on choisir n'importe quelles valeurs pour cov01 et cov02 ?""" """peut-on choisir n'importe quelles valeurs pour cov01 et cov02 ?"""
U,S2,U_T = np.linalg.svd(sigma2) U,S2,U_T = np.linalg.svd(sigma2)
S_diag=np.diag(np.sqrt(S2)) S_diag=np.diag(np.sqrt(S2))
sigma=U @ S_diag @ U_T sigma=U @ S_diag @ U_T
return np.random.normal(size=[nbData,3])@sigma+np.array([5,10,-3]) return np.random.normal(size=[nbData,3])@sigma+np.array([5,10,-3])
X=create_gaussianData() X=create_gaussianData()
""" A la la shape habituelle d'une dataFrame : les individus sont les lignes, les variables les colonnes. """ """ A la la shape habituelle d'une dataFrame : les individus sont les lignes, les variables les colonnes. """
print("X.shape",X.shape) print("X.shape",X.shape)
``` ```
%%%% Output: stream %%%% Output: stream
X.shape (400, 3) X.shape (400, 3)
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
"""Observons les données dans leur ensemble, avec un tracé 3D """ """Observons les données dans leur ensemble, avec un tracé 3D """
from mpl_toolkits.mplot3d import Axes3D from mpl_toolkits.mplot3d import Axes3D
from mpl_toolkits.mplot3d import proj3d from mpl_toolkits.mplot3d import proj3d
fig = plt.figure(figsize=(8, 8)) fig = plt.figure(figsize=(8, 8))
ax = fig.add_subplot(1,1,1, projection='3d') ax = fig.add_subplot(1,1,1, projection='3d')
ax.plot(X[:,0],X[:,1],X[:,2],'o'); ax.plot(X[:,0],X[:,1],X[:,2],'o');
``` ```
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,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) ![](data:image/png;base64,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)
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
"""observons les 3 loi marginales""" """observons les 3 loi marginales"""
plt.hist(X,bins=20) plt.hist(X,bins=20)
plt.show() plt.show()
``` ```
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,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) ![](data:image/png;base64,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)
%% Cell type:markdown id: tags: %% Cell type:markdown id: tags:
observons les va 2 à 2 observons les va 2 à 2
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
plt.plot(X[:,0],X[:,1],'.') plt.plot(X[:,0],X[:,1],'.')
plt.gca().set_aspect('equal') plt.gca().set_aspect('equal')
plt.title("$0 → 1$"); plt.title("$0 → 1$");
``` ```
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,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) ![](data:image/png;base64,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)
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
plt.plot(X[:, 0], X[:, 2],'.') plt.plot(X[:, 0], X[:, 2],'.')
plt.gca().set_aspect('equal') plt.gca().set_aspect('equal')
plt.title("0 → 2"); plt.title("0 → 2");
``` ```
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,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) ![](data:image/png;base64,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)
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
plt.plot(X[:, 1], X[:, 2],'.') plt.plot(X[:, 1], X[:, 2],'.')
plt.gca().set_aspect('equal', adjustable='box') plt.gca().set_aspect('equal', adjustable='box')
plt.title("1 → 2"); plt.title("1 → 2");
``` ```
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXYAAAByCAYAAABHuPrHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJztnXtwHNd15r8zA4ImVBAI8Q2CAEVKpB1AkQNAJBQ7ohXJWjErmTYpRbK0tfYqsuwtJSlvnM3aVsQw8jqrxEmtUhVWLJrxKqkiKZki9bA2dImUqZdLIAnAkghI4lMEOATBBwiCWJEGMNNn/+i5Pbd7umd6ZnowD5xflcuaYT/O7Wl899xzzz2XmBmCIAhC+RAqtAGCIAhCsIiwC4IglBki7IIgCGWGCLsgCEKZIcIuCIJQZoiwC4IglBki7IIgCGWGCLtQdhDRHxNRJxGNEdEzebrH14ioi4guEVGEiP6OiCrycS9ByBQRdqEcGQDwPwH8NI/3qALwbQCzAawEcBuAP8/j/QTBN+JhCGUHM+8EACJqA1CfzTWIiDjFsmxm/mft4yki2gLg1mzuJQhBIx67ILjzMhH9xwyOvwVAb76MEYRMEGEXBHf+GsC/+BF3InoIQBuAv8+7VYLgAwnFCFMaIuqAGSP3YiuAmhTnfxnA/wJwOzOfD9g8QcgK8diFKQ0ztzMzOf8H4CYAZwA84HUuEd0J4CcA7mbmg5NksiCkRTx2oeyIpx1WAAgDCBPRpwBEmTmawWX+CsAfMfP/9bjH7wPYAuArzLw/V5sFIUhI6rEL5QYRbYApzDp/zcwbMrhGyqwYItoL4PcA/Eb7+i1mXp2BqYKQF0TYBUEQygyJsQuCIJQZIuyCIAhlhgi7IAhCmSHCLgiCUGYUJN1x9uzZvHjx4kLcWhAEoWTp6uo6z8xz0h2Xk7AT0Y8A3A1gHMAxAP+FmS+mO2/x4sXo7OzM5dZCGdPVN4yO40NoXzILrY21hTZHEIoGIurzc1yuoZjdAJqZ+bcBHAbwvRyvJ6Shq28YG/ceRVffcKFNSUm2dnb1DePBzR34h1cP4cHNHUXfTkEoRnLy2Jn5Ve1jB4B7cjNHSIUSvfGogcqKELY83F6UHm0udnYcH8J41IDBwETUQMfxoaJsoyAUM0FOnj4EYJfXPxLRI/FdbTrPnTsX4G3zT7F4yW6iV4zkYmf7klmorAghTMC0ihDal8zKo6WCUJ6k9diJaA+A+S7/9BgzvxQ/5jEAUZi1M1xh5k0ANgFAW1tbySx3LSYvWYneRNQoatHLxc7WxlpsebhdYuyCkANphZ2Zb0/170T0dQB3AbgtVW2NUqWYQgOlInq52tnaWFu0bROEUiDXrJg7AfwFgFXMfDkYk4qLYvOSS0X0SsVOQShHcs1j/ycA0wHsJiIA6GDmb+VsVRFRKl5yOTJV0x6naruF4Mg1K+a6oAwpZsT7nHz0uY2KEOHetkVY21KP1sbasha+YprTEUoX2WhDKEr0uY3xGGPrvn7s6I5g/V1NeOKVXoxNGAiHCE+sacYDKxuyvo/fTmKyOhPnnM6O7ojtvuXcqQnBIcIuFCVqbmNswgADYJhCt6vntPVd1GCsf6kHy+dXZyVyfr3jTLzorfv6savnNFY3L3DtcNIJsz6nEw4Rnu+KIBoz76s6NS87RPQFxZQSdnnxSwc1t7GjO4LnuyKIxczJ69XNC/DOsSFEDTMBy2DOOlPJb8aT3+O27uvH918wtz5968h5vPDrCJbNq7aFkNJ1EPqczsDFK9i2vx8GA2MTBp470O9ph4RwBJ0pI+zy4uePfHWYam5jXUt90vXXv9QDgxmVOWQq+c148nvcrp7Tts8HTgzjwIlhbO+KYNs32n13EKrdXX3D2N55EuMxBgP44PQlVIQIMYOT7CimtFyh8EwZYZcXP5kg4svZdpjp7u38d/2YB1Y2YPn86ow7E7drrr+ryQqdeF3HmRkFABv3HrX+W32/unkB3jpyPul89b6pDmI8aoCIUFtVmdLe1sZa3Nu2CFv39YMBGAbj/hUNqJs5I6ndxZaWKxSWKSPsU/nFdxPRoOLLtklOnx1mumv6DVlk0jG7XROAFbM+cOJCyli97kXr2TogsmLgWx5ux9985QY8d6AfPadGEIsv11Pvm+pI1r/Ug5jBeOKV3rTzA2tb6rGjO2K9t3pYR3UuyjZJyxUUU0bYp+qL7yWSQcWXa6sqEQ93w2Dzs7MjcX5Od81MOgu/ow6v+jXpnkFK22PmtK6a2N3ZHUHdzBlYf3cTAGBHdwQEWGIMAMOXx2Gwec7YhHmO3tk62+L23nr9ppKWKyimjLADUzMfXReisQkzfa61sTaw+PLw5XEQzKyVEICegRFb5oZbJkdtVSVCRAAnx4oB987CjUzCQF7t8GpbV98wdnZH8NyBfsQMYFqYsO2Rm23XIQIYBDYY4XAI2ztPImqwzXt3s6MibIZjGMCz+/vRVFeD5fOrPduijxY27j2KUxevuP6mgqCYUsJeiuQ6Mdm+ZBYqQmRNwD3fFcG6uAfpZwST7rjaqkqEQ2RNZBLsXvCuntNJedk7uyMwmBEKEdbf1ZR0zeHL47bPu3pOu4YsvDx/v54vANfvuvqG8dWfmCKrGI8xnvh5L9bf3WTL1onGDIRChFXL5uC1D8/4mhi9p7UeW/f1AwBibE4E/+FNi1KOHmwhoHAIITI7PedvKgiACHtRE0Qmj3MCLhZLiEaqEUyqyUv9mCde6UXMYITjIr18frUtJry6eQEOnLhgfdaFn8BJIg4Ao1cmbJ/fOnIeB05csLW/q28Ypy5eQUU4ZKVCti+ZlfKZubXD7bun3zhmE3XF+5ERPLi5A1sebsfCmTMQjSXaMbd6uu85nOa6GtvnmME4PzqWchSjd2KxmIHmhTV4PzKS9JsKAiDCXtQElcnjnIBLN3Hc1TeMr256BxMxtkIQqeLvDIDZFGk3z1jPYAHgaYsKfzy7vz/pXmMTBp7acxjfvn0ZANgmMO9f0YCmuhrs7I6g59RIWs83XTbOax+ecX0uKpauZ7jok5prXdIy3dDDVwAQChFeP3Q25SjGeb/7bmrAoTO9UzIZQEiPCPskkG04JahMHq8whJddO7ojGI+ndIzH2DOG62Wf0wt2fvay5cHNHdaqUicM03Pf9/EF3NNan/BeDTPEtOHnvTYvO+SyUYefEVDH8SErvu9Ev6ZbCqTf37h9ySxMnxbC+IQZxvn9T8/FnngYx2sUk67DFG9d0BFhz4BsBDqXcEqQmTxOcU1lFznOdX7O1T638Ifu/adiPGrg/OiYrUMhmJ60zueum41v377MM9vGawSki64qZQCYE8M3LKxB88IaHBoctdr86K3XpSxY5tV+Z6fw5pFzaTvwVB1mNmsS1DORjqH8EGH3SbYCnUs4JR8rOlW4I1XIYm1LPbZ32XOnvQgq00hfvOPlMeuoCUwCUD29AqH4ikwAqAxTkqjr91Dtqq2qxPdfOGhLSdRFt7aqEht+boY7QmHCh4OjVlybAEyfFrKO1QuWbYkXLFO58m6/odsoRrUnU7JZk+CWg+9lq1B6iLD7JFuBzjacEmQJBNVBKKFyhizC4RBOXbyCrr5hS3DUEvigqwp6XUcJ6lN7DuPtI+dTeu6vHzqLLyyfi53dESt0QwDC8bDGt1Yt9cxI2fJwO3Z2R3D4zCj+8sWDVieyvSuCDXc3YfjyuOWJb93Xj1jMiE9QMqKaVXoe+tqWeiuFUTGuZQA5K1F6FQrb2R2xzsvHBuCpcvCVrVJyozwQYfeJX4F2yybJJlwR1MSp3kGEiKziWYobFtbgw9OX8Oz+fuzUBEXPnf7Gv3Xilx+dBTPn9EefrrNqbay1inyp2LkbUYOtNEp1jFpyP7d6etrwhKq/ojMRNWz1Z6wVopy4vhOOX2ttS70thVFxfnQsqRJl/9An+PGbxwHAKj/wwMqGjFI3nWSzJiEc99hVRpEzTVWybEobEXaf+BHoIFcEZuPpu4mALhiAmZaohyyaF9bg4KkRV0FRC3T08LXbSlCvkgWpbBmbMPCdn72LR25ZanmtKn3SYNPOloaZ2H9iGABsWSQGA00Lrsa+40M2gVZC21RXgxd/HcGBE8NgAGECfvDlGywBnYglyzRRYiJW5d/HfMSEYoZZXXJdSz12dkfwmwnDsvG1j8467Gb8onfQdv5zB/oxfHkctVWVSb+3VxmEdDn6AGzlBvTfwmvCF/DOVhJKDxH2DEgn0EEWGsvU0/fqVJwdxPq7mtA7YMaJ18Vj584/6FQZKiGitJkmAKzz9RCEskVd98TQZavMrdNrBRjXz6vG+6dG4qs8E6ONEIBLY1GACAQGxRfrAEA0xrYQC2AuAnr8xYNYPr8a7UtmYVqYkjx2IqAiRIjGGETk2nEAZgcTCpG56lSrstjaaNaB0e8dM9gMdRFZo53PLpqJE0OJ7YF7BkZw8NSINUpQoaDWxlps3HvU9j7t7I6YGUtpVqfqv4fbyt9Hb01sfOaVrQTYOwehtBBhD5BMvex0w2y3TBav41N1Kuta6i0h1z04dQ9nB6IExSnq4RDh4c9fa517aHAUm948Znmp4/Hl7b2nRqzvnJthbHm4HY9u6cLgpTHrupvePIbl86uTSgk01dVYueG1VZV44pVeWyZMNB7/BpteOQBbB6ATYzOG/cOv3ICHPnctnn7zuK19MQOorZ6Gof83jpjBeOadE/jsosSIAQBWLK7FquVzUVtViZ6BkaQ6ML0DI8kTvwzct2IRFsYrMqpnpzCMRLy+Z2DEKkPgtgCLkT5c4nwPnCt/Uzkb6n3buq/fKlSmJohF3EuLKSvs+cg4ycTLznRyNN3xbp2K85x1LfVJMXflTeshlIGLV6y63+FwCKuWzcHc6uloqquxvL9wiJJCGgaA5w6cTAph6Jth7O4dxBlN1AGgb+gyHtzcYcu+IcBa8KRscy502t4VSXRABNx3UwOa62qw/uUeRF3CLSpMs/ntj11j5udHE/nj41EDY44UyuvmmR6//kyVzap2ug4BqJwWsi33PzQ46nJne2kAIHkBlrrPzjThEud74Fz568fZWP9Sj9U5jk9IvL0UyUnYiegHANbA/Js+C+DrzDwQhGFuBJmZka9NN/zG0zMN26Q7PpXn7VXR0GDG45o37axHct+KRTZR0q9nuMWpgSRRJ8DaDGPrvn5r4lBHxbXPj47ZvnOrFKm3+QvL5uDVD8xVojHDvJeK1298/ShODV+x3ScWn3T1EzsPEeHmJbPwXmTE+q65rsbzd+g4ntjViQAsnXMVVi6ZlZTPPnx53Krzotpp2RdL/o1iBqNu5gzrGukcB7f3IJOFTOYCrYRVRJB4ewmSq8f+I2Z+HACI6E8BrAfwrZytciFIMQ4yFp4ttgwFR7phuuO9PC+n8Lndo7muBhSvSQKYwrGzOwIAeGrPYVs9koUzZwBIxFr164UcHjvBrIDIgPV9RZjwh22JzuGpPYeTbA6HCEZ8ZDC7eroleiGyV4qsCIdwT2u9raOZXT3ddi1GYgJ2bMLubRNg82DVqs/fXToLh8+M4uzomCW2al5AF+EQwYp/V8TbHg6RNTJSo5yJeLG1Y+c+Qf+FRCxd2eycZ9DxU3UyFXon6Iyj+32/9eqTAEChbDLrk+0Rj39yyUnYmfmS9vEquGeFBUKQYpxOJCfjhdRzqrd3nkxKN/Q6PhO73O5RWRFCS8NMHNBix2dHx2yTpWrpfG1VZVJnqttwaHAUu3pOo2nB1aieMQ3tS2Zhd+8gXnz3FBquqcL/WP0Zm52uOwwp75AZV0+vsAphOStFjkcNbNtnf0brWurxfOdJq6aN2kJPnx9Qgq53CsqDHb0yYRtBrFhci+sde5Q6FzTt6I4kXnIiHBoctTqfUIis9B1G8mIlPf316TeOYc8HZ2AkLoU7m+a7Zq/oYTLnxKjqbAC4htgypbXRrD65LV40jo3s9pSVrSgLS84xdiL6IYD/DGAEwK05W+RBUHVTgNQiOZkvpD6Ez2RyK9d7LJtXjfdOXrQEcW71dEsMQ0gsx3frTPXn/sDKBjywssHqCHf3DlpCOXhpDIcGR232PrCyAf1Dn2DTW8fBDKvcL8PMZtn89se2QliqUuSYtrxff0atjbV46HPX4he9g7izab51L32Uck9rPZrratAzMIKn3zgGwPT017XUJ40gxqIGfqjVUNffE7fFXbGYfXKSY+6592Muceo3j5yzHcsMvPjuAEIE1+wVwLEByYQ9735dS70txPaXLxxE78BIytIGXqjUzVz+1ophVDyVSSvsRLQHwHyXf3qMmV9i5scAPEZE3wPwxwD+yuM6jwB4BAAaGrLzJILcAclLJCf7hQyyw/J7D2clQsCe8qgvx9dF8r2TF/GPew7bNpMAEp6iU9SeO9Cf5DV+9w8+gy/GPVOV6TI+YQbIVR65KoSljzie6zyJWMwM2Sib9Zi9+v/qGdOSPNmvbnonKW3xuf39uPvGOtt370dG8OS/f4jv/sFnrO/Ue/LIv3XaRN0Z2tEX/ThL/jLspYhT1cVxe+/0lcOJTT7MTlEdz4AtxGYASaMFvwTxtzYZ77XgTVphZ+bbfV5rC4B/h4ewM/MmAJsAoK2tLauQTTYea6ZM9guZbvQQVEd2y/VzcObSb3DfTYkMGF04nCmRum0qlLP7gzOWGLlNxjqZd/WnPNust0el1ulhIL1S5KHBUbARX9UZF66uvmFsevOY7bpPx8VdxcjVBLLbgqQYAy+9a5/nZ5gdRMOsq2wdklsp36VzrsLf3nNj0uTkocFRPB5vj87mtz/GF+OjCmccW8fZfq/wizP9c11LPc6PjlmTyYp0zkmqEg+5vHNBO2JCZuSaFXM9Mx+Jf1wD4KPcTSoshXgh3f6IggoJOXcD+vB0j203IpWzrA/pnbapUI4zbq3ER+3QpFMRJnxz1dK09ul7gOphIL3T0Zf2R+OTvSpEo6MsiBrmIqX+oU9w/PwnttWfbsc72dVz2ibsHceHko7tu3AZP37jGOZWT8falnorbNJxfAjMyVdWKZ/qmFXL5mBPvKMMAfjc9bOxunmBbaSxce9RDGjb4E1EDQxfHrfu5cx2+eaqpXj98LnExCeSSxfr5DvsOBmOmOBOrjH2J4loOcyRXx/ylBEz2UzmC+nlMfkJCfnx6DuOD9lK2k7EEpNhSTnLHvdxZtc4s1PubVuELfE6KQTg89cnl8z1stc5QlLnqWMHLl6xeb9EZC3U4fj9aqqm4eJl+65LBsM1tdIPq5sXuLZfz2SZiDF2x73j7V0RbPtGOw4NjuLV3kFzZarBiT1R452mPhldEQ5hWthcK+AMfzmrMDp3iVI439PWxlpsuLvJGgGpXa1SvRsSBy9Pcs2KWReUIVORVB6Tn8wdP95W+5JZmFaRGPZPCxNqqyqtTZF10XSWC1CkG8U0aVu9Mcw6Ln5HIHq4h12ONYUtkVpJ0LJnYArm/W2L8JO3jsMl4uKJyuILhwiN11Th2LlPzLoyIdMTdtYtX9dSj7OjY3j90Nmk0M5E1MDTbxyzhUHu+K151ohFXUcX0ljMwP0rGlAXX5Hq1anHDLatXE0nvPoISO1q5YXEwcuXKbvytBhI5TGlE1O/3lZro1mCVwlnc12NVWO8IkyYFjbro4S0uLQbXuEi5VXr4Q49nuzXXlUDZWd3xJbhMRFjLJ1zlSW8BpvXVx7p129ejJ/+6uOMRB0A7l/RYInlju4Ijp77BIC50Olvd32I9+P16vW65RXhkGuYZVpFCGcu/cb23ZWJWNJcBoCkSWy3511bVWnb/9TPRtVuE6zpxFri4OWLCHsBSecxpRLTTP+A1XUee+Gg5b1PxBh3/NY83LhopusfdqpQj9Or1je6MAx7uCedvU7RZ8CaXGQAJy5ctsIWRGRNtDIzek9fcp0cVRCA2qppuKCFasIhsomlWqCl2H9i2FqY5KxbrggBuKHe3FFpbUs9dvcO2lapjk3Ekhac+RFSvcKl1/6nbud45benO1fi4OWJCHsBydRjyuUPWOGUwNnV05Pypd3upYd6uvqG7atUDcZtn5mHX350FobBqAgTBi5ewdZ9/bbKgl72unmoAKz65kaMcd9KM2zhzAZZ3bzAtQojkNjl6M//w6ex4eUejMfYLOG7phmAOTk5emUCPadGks5lNsW7IpyoW04hAhsMZvN7JeoA0Hv6ku38AyfMSWuVR6+3O9Vv1XF8KJG3nyaUop+jl0PuHRix5ePnC1lZWryIsOcJvy99Jh6T07PVMyT84rZaM929xuJVG5UH7rZK9ZurluKbq5bi6TeO4bWPzmLb/n6ENO/ay14vD1UvlmXAjOOrTBVnNohayKS2ydv89seIapOHD6xsSCoglmrjbADxeDthw5eares/3xVBFAwKEQwA2/b3Y3tXBGBOGjWoCV7VOekLj1L93qNXJmybh+j5717o6ZOMxOYfft+rfO7lK+JvZ7Kehwh7HshXGlkQk12tjbXY9sjNacMBAxevWOEIRqLyoL64xpme2NU3jF9+dNYKyXB8wwxm9rRX91CheahudVr0NnjlXG/ce9QWElLnOcNRbqKure+x7FcLpTqODyEaMzs6ih+kh2fShfj9Zp44PX/nZzdaG+1lAGKG/zIAXu9qOgHym7UlZQUSTObzEGHPA/lKIwtqsivVKEF/+YgSU6Kq8qAt9TFEaLimyjq34/iQLctGL6blZW9tVWVihyEA7528iK6+4aw7Mef1aqsqk9q3vfOkqxCvubEOV02vwPbOk1YaoirypddGD4dDALNV1hjMiMYYBsxOqCJE+MLyuVYGjUrLVPVmUm1g4ayn40y99CLbMgBu7yqAtALk5/eRdEo7k/k8RNjzgJ+XPtshWdCTXU479JcvBEaFw+NWnYsKTWzbn1i23r5kFqZPC1mVE/0UouodsMe3X/3gDN48ci6p4Jje5lTPTvf0CeZiI31BlrO87qfnV+PQmVEYDPyidxBbHm5PKrfgVRtdP0ZNEOudmFr8FY3ntN/ZNB8bXu6xwmAbvmTv9Lr6hjF8eRzfumUJek9fQtOCqzF8eTxl1U/9eWQz5+L2rvoRID9OhqRT2pnM5yHCngfSvfTFMkR1s8P58rmJheoAVAaL2ozh0Vuvw/q7mrCr5zRWNy/wVV3QzXNWC6UevfW6pOfiXCnrtuFIRThk2fbWkfPYd3wI2x65Ga2NyVsF/k5jLQ6dMeP5Ey731WvQO2ujO8NBTlROOWB2NC+9O2C1dzzGeDy+jZ7ameqZd06k3NLOK2yWy7vk9a76EaB0ToakU9qZzOchwp4nUr30xTJEddqxszuCupkzfHl+biEPNRE6HjVw4MQFm6fsxbqWejy3v9+Wh+61UMrvSlnDsMfPx2NsTf46/7iA1LsSqY5AhaacoZ1UtC+ZZSvM5ezE9DIJquKlitv73dIuiHfJbc4iKAGSdEo7k/U8RNgLQLEMUZ2lArbHs2XCaRYrAckhj96BEQxfHneN16YSiNbGWvzgyzfYlsF73dsZww8RJcWsd3RH4FJbCwTvjShSiVhro7lJtbLviVd6fXVY1n099qkIh0zBV+KuyhirsJffLe1yeZdShbREkEsbEfYCUCxDVN2OUxevWFkVzg2o3XBLsdvwpeakjSn8hAmc6Yip7qnH8B/+/LVJ4Qo3Ha2sCKGprsbTlnSTyWo7PYaZ+qkWNPmp02O4lL0kAPfdtMjcn1ULKzlHSn6eSbbvUrGEA4X8IMJeIILwiILIiVV2dPUN42cHTlphDn0Daq976il2EzFGz8CITWT0MMH4hIGn9hx2LQ6m25HOVq/rqxHC2pZ6bO+KWCUT7o1vzZdNyEIXPz23/Nn9/Xj2wEmruFeqOj36iEhl0uhlAlKJt993JJt3qVjCgUJ+EGEvUYL2uFoba/HEmmabB5mu8Nj6u5owLWyW7NVz3fUwR2WF6WEbAH519DwOnLiQ02IWp4g5wxCtjWZtHLfrZBqy0MVPr4VjVhlIHedXtjrj+U67ChXyKJZwoJAfRNhLlHx4XOlCIm4rX+9tW4StamFMzL2Q2VN7DuNXR88HvpjFKwzhJpbZhCzcPG6Vl67wmujV75sueyYoMhnBFUs4UMgPIuwlSiqPK5cQTSoP0uueO1JklbQ21uLbty9LORGoas+o1aCZhEoyaWem3rGbx22VFogaaStiBmW332tm0zGKoJcnIuwlipfHlc9JMa97pvP8UnmHzjh2CKl3/XE7L5+Tf17iR0BWG0Xny26vEZyzE5HaLVMDEfYSxk108j0p5hXmyNY7tK10peSt8bwoxOSfU5TXehRQS0W+7HYbTbnNifhZ9CSUPqFCG1BudPUNY+Peo+jqGy7I/dUfeJj8eb6Tiduz0e2tdGwRl4ps2pnrb+NVVyUT8vX7qFHRn92x3BJsp71ui56E8kQ89gAphtzgYp0US7c1Xqb2Znpeuvryfq4T1GKgoH8fr4VXTnv9LnoSSh8R9gApltzgYpwUS/VssrU3k/NSxaD9dsZBLgbKtI6+13V3dkewvdNcf+C28Mppr59FT0LpI8IeIJIb7E2hn43X/TPtjItlMZBzwxPA/dpu6ZYi6OVPIMJORN8B8PcA5jDz+XTHlyvFGgYpBtJlxuT7mXndfzI6nFzv4fZ8VGehRF3VexdnQgACEHYiWgTgDgD9uZtT+ohH5I3bs8l2XiKbziCohUvZsLalPqsUSa/n41w8dU9rvW2DbmFqE4TH/r8B/AWAlwK4ljDFyLWGS1DlFPIliLmmSHo9HxkdCqnIKd2RiNYAOMXM7/k49hEi6iSiznPnzuVyW6GMyCb9L4i0Qz8Ekbqaq62pnk9rY63rZiSCkNZjJ6I9AOa7/NNjAL4PMwyTFmbeBGATALS1taXb+1eYIuRawyVfceWgRgW52iqeuZANxJydxhLRDQBeA3A5/lU9gAEAK5h5MNW5bW1t3NnZmdV9BQHI/4Trxr1H8Q+vHjK3riPgz+5YnnWKoizjF4KCiLqYuS3dcVnH2Jn5IIC52g1PAGibylkxwuSR70nqIEcFMqEuTDaSxy4ILkgIRChlsg7F5HRTonMA+ib9xumZDWAqjDikneXHVGnrVG9nIzPPSXdyQYS9WCE3mSokAAADc0lEQVSiTj/xq1JH2ll+TJW2Sjv9IdUdBUEQygwRdkEQhDJDhN3OpkIbMElIO8uPqdJWaacPJMYuCIJQZojHLgiCUGaIsAuCIJQZIuxxiGgmET1PRB8R0YdEdHOhbcoHRPTfiKiXiHqIaBsRfarQNgUBEf2UiM4SUY/23TVEtJuIjsT/v+RXGXm080fx9/Z9InqBiGYW0sagcGur9m/fISImotmFsC1IvNpJRH8S/117iejvMrmmCHuCfwTwC2b+NIAbAXxYYHsCh4gWAvhTmKUfmgGEAdxfWKsC4xkAdzq++y6A15j5eph1jb472UblgWeQ3M7dAJqZ+bcBHAbwvck2Kk88g+S2luMeEM/A0U4iuhXAGgA3MnMTzI2MfCPCDoCIagDcAuBfAICZx5n5YmGtyhsVAGYQUQWAKpiF20oeZn4TwAXH12sA/Gv8v/8VwJcn1ag84NZOZn6VmaPxjx0wC/KVPB6/KZDYA6IsMj882vlfATzJzGPxY85mck0RdpNrAZwD8H+I6NdEtJmIriq0UUHDzKdg9vz9AE4DGGHmVwtrVV6Zx8yn4/89CGBeIY2ZJB4CsKvQRuSLTPaAKHGWAfg9ItpHRG8Q0U2ZnCzCblIBoAXAPzPz7wD4BOUxbLcRjzGvgdmR1QG4ioj+U2GtmhzYzOstCw/PCyJ6DEAUwJZC25IPiKgK5h4Q6wttyyRQAeAaAO0A/juAnxER+T1ZhN0kAiDCzPvin5+HKfTlxu0APmbmc8w8AWAngN8tsE355AwRLQCA+P9nNJwtJYjo6wDuAvAgl+/ilKUwnZL34mXC6wF0E5HbRkClTgTATjbZD8CAWRjMFyLsAOIbg5wkouXxr24D8EEBTcoX/QDaiagq3vvfhjKcJNZ4GcDX4v/9NZTpvrxEdCfMmPOXmPlyuuNLFWY+yMxzmXkxMy+GKX4t6Tb2KVFeBHArABDRMgCVyKCqpQh7gj8BsIWI3gfwWQB/U2B7Aic+InkeQDeAgzB//7JYok1E2wC8A2A5EUWI6I8APAngi0R0BOZo5clC2hgEHu38JwDVAHYT0btE9OOCGhkQHm0tOzza+VMAS+IpkM8C+FomIzEpKSAIglBmiMcuCIJQZoiwC4IglBki7IIgCGWGCLsgCEKZIcIuCIJQZoiwC4IglBki7IIgCGXG/wenfO0Zl+FLUAAAAABJRU5ErkJggg==) ![](data:image/png;base64,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)
%% Cell type:markdown id: tags: %% Cell type:markdown id: tags:
estimons la matrice de covariance estimons la matrice de covariance
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
mu = np.mean(X,axis=0) mu = np.mean(X,axis=0)
X_cen=X-mu X_cen=X-mu
cov=np.cov(X.T) cov=np.cov(X.T)
print("cov\n",cov) print("cov\n",cov)
``` ```
%%%% Output: stream %%%% Output: stream
cov cov
[[21.06700438 5.31262625 -1.09234643] [[21.06700438 5.31262625 -1.09234643]
[ 5.31262625 2.09402173 -0.03962299] [ 5.31262625 2.09402173 -0.03962299]
[-1.09234643 -0.03962299 0.1621997 ]] [-1.09234643 -0.03962299 0.1621997 ]]
%% Cell type:markdown id: tags: %% Cell type:markdown id: tags:
Considérons la décomposition en valeur singulière de la matrice de covariance. Considérons la décomposition en valeur singulière de la matrice de covariance.
$$ $$
cov= U S U^T cov= U S^2 U^T
$$ $$
Le repère $U_0,U_1,U_2$ composé des trois colonnes de $U$ représente les principales direction du nuage des simulations. Ces directions sont ordonnée par odre décroissant d'importance: le grand axe du nuage étant $U_0$. Pour observer au mieux le nuage en 2D, il faut le projeter sur le plan engendré par $U_0,U_1$, donc le plan orthogonal à $U_2$. Mais attention: Le repère $U_0,U_1,U_2$ composé des trois colonnes de $U$ représente les principales direction du nuage des simulations. Ces directions sont ordonnées par odre décroissant d'importance: le grand axe du nuage étant $U_0$. Pour observer au mieux le nuage en 2D, il faut le projeter sur le plan engendré par $U_0,U_1$, donc le plan orthogonal à $U_2$. Mais attention:
* soit on considère le plan affine passant par l'espérance $\mu$. * soit on considère le plan affine passant par l'espérance $\mu$.
* soit on centre le nuage, en soustrayant $\mu$, et on considére le plan vectoriel passant par zéro. * soit on centre le nuage, en soustrayant $\mu$, et on considére le plan vectoriel passant par zéro.
On préfèrera cette la seconde option. L'équation du plan est donc $ax+by+cz=0$ avec $[a,b,c]=U_2$. On préfèrera cette la seconde option. L'équation du plan est donc $ax+by+cz=0$ avec $[a,b,c]=U_2$.
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python ``` python
U, S, V = np.linalg.svd(cov) U, S2, V = np.linalg.svd(cov)
normal=U[:,2] normal=U[:,2]
# on crée la grille correspondant au plan de base z=0. # on crée la grille correspondant au plan de base z=0.
lim=5 lim=5
xx, yy = np.meshgrid(np.linspace(-lim,+lim,10),np.linspace(-lim,+lim,10)) xx, yy = np.meshgrid(np.linspace(-lim,+lim,10),np.linspace(-lim,+lim,10))
# on calcule les altitudes z # on calcule les altitudes z
z = (-normal[0] * xx - normal[1] * yy) * 1. / normal[2] z = (-normal[0] * xx - normal[1] * yy) * 1. / normal[2]
fig = plt.figure() fig = plt.figure()
ax = fig.add_subplot(1,1,1, projection='3d') ax = fig.add_subplot(1,1,1, projection='3d')
# le plan # le plan
ax.plot_surface(xx, yy, z, alpha=0.2) ax.plot_surface(xx, yy, z, alpha=0.2)
# les points # les points
ax.plot(X_cen[:, 0], X_cen[:, 1], X_cen[:, 2], '.'); ax.plot(X_cen[:, 0], X_cen[:, 1], X_cen[:, 2], '.');
``` ```
%%%% Output: display_data %%%% Output: display_data
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWQAAADuCAYAAAAOR30qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzsvXmUHNl13vl7Ebln7StQVdi3xg40gF4ostmURFmipLat1taWh9KQHNkjyeaxjixzJI9tWTYty9Ic26PjQ7pJa2SOpkmRFM3FliyKFCmSvaHBJoAGegFqQe1L1paVe2a8N39ERlTkWpmVWYVCdXznNMHKzHj5Ipcvbn73u/cKpRQuXLhw4eL+Q7vfG3DhwoULFyZcQnbhwoWLHQKXkF24cOFih8AlZBcuXLjYIXAJ2YULFy52CFxCduHChYsdApeQXbhw4WKHwCVkFy5cuNghcAnZhQsXLnYIPHU+3i3rc+HChYv6IWp5kBshu3DhwsUOgUvILly4cLFD4BKyCxcuXOwQuITswoULFzsELiG7cOHCxQ6BS8guXLhwsUPgErILFy5c7BC4hOzChQsXOwQuIbtw4cLFDoFLyC5cuHCxQ+ASsgsXLlzsELiE7MKFCxc7BPU2F3LhoiqUUhiGAYCu6whRU08VFy5c4BKyiyZBSolhGORyOdLptH27EAJd1+3/NE1D0zSEEC5Zu3BRBJeQXTQEKSUrKytomobf70cIYROuUma3VouonbAep2kaHo/HJmuXqF28neESsou6oZRCKUU2m0VKyfT0NK2trezZs8cmYcAm1nIEq5RCSsnY2Bh+v5++vj77sZqmoes6Ho/HjahdvK3gErKLmmGRaC6XQ0oJrBNovbAI1iJbXdcLnsMwDDKZTMExTunDjahd7Ea4hOxiQxQTsUWCFhFqmmYTdL1wShvW39UiasMwUEoVPMZJ0MU6tQsXDxJcQnZREZZjIpfL2SRYjjCLSXUzz7MRNkPUltsjHA67RO3igYBLyC5KUI6Iq8kSjRByo+RYjagjkQjxeJz9+/cXPMaKpMs5P1y4uJ9wCdmFDaUUuVyuINqsRR8uJzvUikaj62rrWiTr8ax/zK3nyuVyZLPZgmNconZxv+ESsgubiC1rWr2JOk3TbHkgnU4zPT2N3+8nHA4TDAY3JLStIORKqOT8qEbUVtLR6fpwi15cbAVcQn4bw9Jek8kkt27d4uLFi5siGSEE6XSaW7dusbq6yp49e1hbW2N2dpZUKgVAKBQiHA7b/1lEvVURcr3YiKiLJRylFIuLi+zZs8ctenHRNLiE/DaE5ZiwolpN08hms5sikVgsxuTkJKlUipMnT3Ly5MmStaSUJBIJ4vF4CVELIfB6vXVF1NuJakR97949ent7Kxa9OAteXKJ2UQtcQn6boLiYAwoTYvXa1qLRKCMjI2SzWbq6utA0jb6+vrLRrqZptLS00NLSUnC7lJLx8XESiQRra2vMzc2RTCYBM6IOhUK0tLQQDocJBAKb8jtvFZw+aies85dSFpSQW8e4RS8uqsEl5F2OSsUcTgKoRzZYXl5mZGQEgMOHD9PZ2cnc3Bxra2slz7sRyWiaZhPt/v377dullCSTSeLxOLFYrICog8FgifSx04ja+a8TbtGLi43gEvIuxUbFHE7UknRbWlpiZGQEj8fDsWPHaGtrKzjeIvR6deFyj9U0zSZcJ5xEHY/HmZ+fr0rUOw31eKlzuRyLi4sMDAyUaNSu82P3wiXkXYZaizlqXWthYYHR0VGCwSAnT54skR2gcR9yrcfWS9S5XM6OnndqRA3liTqdTttJw3JFL65Fb3fCJeRdgnqLOTZaa3Z2lrGxMdra2jh79iyhUKji4++3U6ISUc/Pz7O8vEw4HK4pot5JRK2Uskm23H1WPiCTybhEvYvgEvIDDqUUmUyGhYUFuru7GyJiq3Pb+Pg4nZ2dXLx4kUAgsOFxzexl0UwIIfD5fHYnOQtWRJ1IJIjFYiwsLJBIJICdQ9TVNPhq0ge4RS8PMlxCfkDhLOYwDIPh4WF6e3s3tZaVZHrhhRfo7e3l8uXL+Hy+mo/fLsmiXlQiNWdE7XzNpJTMLq5gZNMkEokCog4EAgVEXe0XQzMgpaz7QlBP0YthGMzOzrJv376KFj0X2w+XkB8wOCdzAHZp8GYi1Fwux8TEBFNTUyileOSRR/B6vXWvc78li2Yha0iWElkEOkO9ezh40Px1IKUklUrZGnUkErF91Tdv3iwh6mZE1JZk0QyUI2rDMFhcXGTfvn1li16qRdQuWW8dXEJ+QFBczNHIFyObzXLv3j3m5uYYHBzkscce4+WXX94UGVt72YkRcj1QSjGxsAoKFOb/T2Vy9He2oGma7Yt2RtQvv/wyR44cKSFqpVSJ9FEvUVvOmK2ClNIu/96oOtEJt+hla+ES8g7GRsUc9SKdTjM2NkYkEmH//v08/vjjBSRRi3e4HHaqhlwPFlbjpDK50tuyOYZ62tDLkKkQoixRK6UKXB+bIerNSBb1wDCMiutvJH24RS9bB5eQdyBqKeaoB8lkktHRUVZWVjh48CDHjh0r+TJaxLjZXhbF3d52AsnWimQ6y/xqvOx9a4k0IzPL7O9rx+8t7RpXDhsRtZVMjEQiJJNJpJQ2UVvViYZhbEuEXA/qLXqZmZmhp6eHQCDgFr3UCJeQdxDqKeaoBfF4nNHRUdbW1jh06BAnT56suJYV5W52HNODKlkopZhcjEKVLaRzBsMzS+zrbac16LePq/d9cRJ1T09PwR6cGvXS0hKrq6sYhkEsFiuJqOsl0nJodgRe7nMaiUTo7e21idqC9dqV06jf7glFl5B3AJpZzAGwtrbGyMgIqVSKw4cPc/r06ZrKmO+X7HA/CXluJU66SKpwwjo3qeDe/Ap7OlroaQ83dc9CCILBIMFg0CZqq1y8v7+/gKgTiQRSyrKuj3qIuppk0SwYhmHLF8WoNunl7WzRcwn5PsIi4rm5OTRNo7Ozs6EvycrKCiMjI0gpOXz4MF1dXTUf2wghN0rm9wuJdJZItLxUAYAAqSSC/B4VzC7HSGZy7OkIb4ukUEzUUD6irpeot1qj3ug5qnmp385FLy4h3wcUT+ZIJBIIIeoiUCesL+Tw8DBHjx6lvb297jXuV4R8vyQLKRWTkdWqUoVw/K8Tq/EUiVQaw9i6fW9UGNIoUedyuaZIH5s9h0qot+hlcnKS/fv37xqidgl5G1FpMoeu6yWVVbWsFYlEGBkZIRAIEAqFOH/+fMG4onpwv0j1fhHy3EqMTNaoeL/QQFW5PqUyWaZXk8RTGcKB2otoasVmC0M2IupEIlGgUUej0YJkYrM06majXEJRSsn8/Dz79++vWJ34H/7Df+AjH/nIpi2d2w2XkLcB5Yo5nB8sXdfthu0bQSnF3NwcY2NjtLS0cObMGcLhMK+88oqt2W0Gu8G6ViviqQyL0UTVx0hZLjZ23q/IScXo3DIDXW10tTa3u9xmHS/l4CRqC1NTU0gp6e3ttSPqyclJ4vG4HVEXT3nZaURtfd6reak///nP85u/+Zv3Y3ubgkvIW4haizl0Xd+QDKWUdsOfjo4Ozp8/X/AFq2WNamhUQ35QImQpFVORaNXHCEFVKWP9cQIUTC9GSWWy7O1qbRqJbrXGK6XE4/EQCAQIBAJ0d3fb9ymlSKfTNlFPTU3ZRG1NdtmIqJt5QamEXC5XMQBxfq4eJOnCJeQmYzPFHLquF9iCnJBSMjU1xfj4OD09PVy6dAm/31/yOOeg0c2g0QjZeWw9X4DtJuTZ5TUyucqvkyYEsqrHGFS+ms95mktrSVLZHPt7O/DozSmd3uqkYbWEW61EnUgkMAyjhKi3Y8JLNUJ2wiXktyEaKeYoR8iGYdh9Jvr7+zfsM9EIoVp7bUaUa5VlSykLxi/thC9FLJlhOZa0SbUYQoChVFWpwjpOKdbdF3kkUllGF9YY6moh6Gvs5/12RMib0ahrJepYLEYikeD69eslro/NymrF2IiQtyNx2Wy4hNwgmlHM4Yxus9ks4+PjzMzMMDg4yKOPPlrTB7hRQm6Ghnz37l3m5uYYGBjA5/MRjUaZnp4mlUrZHdYskm5pacHr9W5bhGxIydRi1CbUiqRcZQ3nXstFsJrHQ8aAsUiMgc4Q7cHNJ5K2OkJupg+5HFEnk0nu3LnDiRMnbHKuFlFvhqg3ItzV1dVNOY7uJ1xC3iQsD/HKygqrq6sMDg5uupjDclncuXOH+fl5hoaGePzxx+u6uleTPWrBZgnZiojj8Th+v5/HH3/cvkA5v/CGYdgR1OLiIuPj42QyGXvi9dTUlP3l3IqM+OxSjGzOWS2Wl1ryEbEmQFazwBVfOIrYXGgCJcyvk1QwuZQg1eqnv23jftLlsB0R8lZGj1bCze/34/f7SyLqTCZjfx6mp6eJx+M2URcnEysR9UYRcjQapaOjo+nntpVwCblOFFfV5XI5VldXGRoa2tR6qVSK0dFRlpaW6O/vL2n4Uyu2O0LOZrOMjY3ZtqNwOMy+ffuA8hOsdV2nra2tYBYfmF+au3fvAmZ1WjweJ5fL4fP5CqLpRuxYa4k0y7Fkye1KKaxX2pQqKl9My0bxjouv0LwlecDIWppU1mCoM4Su1Xehvp8acjNgGEbF90sIYRO103tfTNQzMzM2Uft8vpJk4kauopWVFTdC3q0oLuawPMRer7ekRWEtSCQSjI6OEo1G2bdvH2tra5smdWgOIdciHRQTsXUBmZiY2NTzer1evF4vg4OD9m3OL2YsFiuwYzm7pbW0tGw40cOQiqnFyq4K64w1IcpKGFBe3nASpubxoET5PcRSOUbnlhnqbiXgqz3yv5/d3pq1/maaF9VD1MlkEp/PRzweLxtRu5LFLkSlYg4L9UoFsViMkZERkskkhw4d4tSpUwCMj483tM9GJYtip0QxKhFxoyinIVf7YloFDla3NGuih/Uz15lIBJhfTdDaWW0eYN41oSolNstr3JbLQmiaLVWUhZIk43GGU0n29XXRFq7Nr7ybI+R6UenzcOfOHdra2vB6vSUR9XPPPcfMzAy6rvP8889z6tSphuSLiYkJ3v/+9zM3N4cQgl/8xV/kwx/+cDNOrwAuIVfARsUcFmolwmg0yvDwMLlczu4z0cwv3FZJFplMhnv37jE/P8+BAweaRsSbQaVKNGtGXiwWIxqNMjMzQzKZJJpIs5jI0Z3OEQyFCAYDeD3egqovZ68KpRRCM73K6/JF+bDZ5mi9WtSrUNkUCIGUinuzi/R3tdHX2VblmPVzetA15K12OBiGQTAYpK2treTCPTg4yLPPPsvY2Bif+tSnuH37Np/85Cc5evTopp7L4/Hw+7//+zz88MOsra1x6dIl3vve99oBVbPgEnIR6p3M4fF4qkoWy8vLjIyMAHD48GE6Ozubu+E8mkHIzgtLI0S83T7kclOnc4bkhRtvEhZreDweoqurzM7Oks1m8eg6gWCAcChEIGASvPUzV0nQ0OwIuNrWdN1HVV+GkUXJwov13FKUVDrLUF/1RlJuhLwxKrkshBAMDg7S2dnJuXPn+Pmf//mGn2vv3r3s3bsXgNbWVk6ePMnU1JRLyFuBRiZzlNNelVIsLi4yMjKCz+fj2LFjJcmsZkPX9ZIpDvXAcjtkMhnGxsZYWFjYloh4q2xv00tRFODzeQuiaTC/yOlUingywdLyMsmpKXKGgdfrJRgMEAqa0XQwWHnskhAC9OpShcykChJ/FlbjSTLTBgf29uCtUESyGzTkegblbgb3y2UxNjbGq6++yqOPPtr0td/WhNzsyRxKKRYWFhgZGSEUCnHq1ClaWlqaueWKaDRCllKysLDA9PT0tksTzSbklViKaDxdtngDwOvxoLeECTveGytXkEgmSSWTzM8vkEwlUVLh8/nykkeQYDBAwB9ACb0c11qr2VJFJWTwMhJJsK8zSKhMEUkzh5yW3eEWr79dksVGhNzspF4sFuPpp5/m3//7f78lQdbbkpAt69rCwgJer5eWlpaGiXhmZoaxsTHa2to4d+7cpsbEN/IzdbOEbEXEMzMztLa2cvny5W3ViJv9szybM5hZXqv6GCVAqMLnFULg9Xpp93rNL7GjACSbzZJIJEgkE6ysrJDJ5jDyyb7pmWmTqANB/AG/eQEoI1U4oXl8KN1DTirGFhPsafPTFS6MJrd6yOl2FJ5sNSFv9CtidXW1qRFyNpvl6aef5ud+7uf4iZ/4iaat68TbipCLPcTLy8uEQiFaW1s3tZ6U0ja1r66ucvHiRTu7Xy+s5kCb/RDX67JwShMHDx7k5MmTrKysbHvCrtmSxdTiGoZR+cK00fOZunHhfECfz4ff76e9ox1N00H3EY2uEolECAQCJOJxFiOLpNMpBAq/kI6IOmhXJFrr4V3/jChgJpomlZPsbfPbj9uOBvJbie0g5I0uKqurq03L2Sil+OAHP8jJkyf51V/91aasWQ5vC0IuNyLJGmW+GauYYRhMTk4yOTlJX18f4XCY48ePN/QFspJqm/0Q1xohZzIZRkdHWVxc5MCBAxw9ehRN01hcXGxI8oDt6fBVDcuJDPFUpuL9xa6K0geQr9wr3yBdQyA03fRdCIHH66Wrsws6rQy/wkjFScRjpssjGmVubo5sNoumaWbP4Y5uAmFBMBQs+Lm9nMiSzkmGOvx4dX3LX8vt6MR2v/tINJOQv/Od7/CpT32Ks2fPcuHCBQA++tGP8r73va8p61vY1YS8kYfY4/HU1Rg+l8vZDX/27t1rN/xZWVmxq8s2i60ufS4m4uLJ04200ITNT61uVoScNSRz0Qz4Ami5DLLMa6k2qMarNCFkfa8gc1mEx7RflJyrkUWgShwfYF7E09kcyZxgeWWZqekpDCuRGAjmk4l+kjEPh/Z03feLW6PYaltdLa+PVTDSDLzzne/clp4ru5KQyxFxuTfP6/XahQXVkMlkGB8fZ25ujsHBwZI+E5b17X4ScqXjNyJiCxsVhmyEzfafbRYhT6+mMZQCBMrjRxOFF9qNLGwb7sPR60LlMiBzBeQulMSo4KoA8zPibemkpej+XDZLIpkkmUgwOzVJKpnktVuSFi+MjIwUlI4/SBJGra0xG1m/GuFb7+WD9JrBLiPkWos5LOi6XtVDnE6nGRsbIxKJVK1Oa5RMm7FGcYTsJOKDBw9WJOJKx2/2+e/Hz9SleIZYuvB9VLoX3etDpdMbknHJMNNyKDreyGbByFp9OFHZZFVXheYLocrc7/F6afN6aQsFUPmCEaUUt27dIq086KkUi4uLduBglY5bFYnBYLDuSLpRaaoWbLWtrhbCbyRRf7+wKwi53mIOC5X6UCSTSUZHR1lZWamJzDarRTvRLEK2LiIWER8/frxmP/X96KfcaIScyUnm1srrxkrzoPsCmP3cqiTyqjbdrLxHpSQYGZPQq7x2lqui4v1KYhjrn0MhBELTkJ4ABH08tH8/ev79SSaTxONx1tbWmJ2dJZlMruvTjmZMPp+v4vu+HRfO7fBRVyPkrXapbBUeaEK2mo5s1kNcXGUXj8cZGRkhHo9z6NAhTp48WXOD+c00GCpeoxFCNgyDtbU1rl27VhcRW2iWhryZ4xrB1Gqq6oQPBAiPL29FKyVNc5hp9ePLk7FDw9S8CF2ijNLPQLGrohQKI1u5oCeWzDA8F+VATyt+r27r0319ffZjDMMgkUgQj8dZXl5mcnKSdDqNrus2STt7UG+Xg2MrCbGWopDNuqfuJx5oQnZaiTbz5luEvLa2xvDwMOl0msOHD9PT01PXes2SLDYToabTaVua0DSNxx9/fFOvRTM15O3CYjxDIlNlcjQqL1UI0L1oIleS7NtomGmlwFrl4250LwgN4Q0gtAwyWxitV5Iq7D0a2aqvm6brZA3JyHyUwa4wbcHSPIWu67S2tpYQUC6XsxsxLSwsMDY2Rjabtas6p6enbX262Xrv/ZynB2brzQetFzI84IQMjf3UtvzDb775pt3wZzPYqJ9FLaiX1C0iXlpasiPiF198cdsLS5p1fL1I5yTzFaQKC4URsUBpXtNemM0gEKbku4G2XJGQldl2E7vtpgDdjy50jHQChKhNqqjyuTGb3pvrS6WYWIzR2xakr622jnEej4f29vaSarWVlRVGRkYwDKOgOXwgECiIpndyIrGWaSEuIT8AsApCRkZG0DQNv9/P5cuXG1qzGRFyrUNKnUR86NAhTpw40ZRo5H7O5KsXSimmVqpLFRrlz0Who3v9qFymMdcFgFb69VGaBz3QgpFNNiRVgAJRSjgL0STprMFgZxitzqb3FnRdJxgM2gMFYH0uXiwWIx6Ps7S0RDweRylV0tp0o0TidnwONoqQH8ReyPA2ImSlFJFIhJGREQKBACdOnKC1tZXnn3++4bU9Hg/JZOlEinrXyGQqR3zpdJqRkRGWl5ebSsQWmknIUkqy2WzZ6djNwGI8SzJbpTQZRfVTsSJPWSUCrk4qQvcgVAXSFxq6x2Mm/cqQKtQgVWh6RddGNJkhkzXY192Cz1t/cq6chuyci1fc2jSVShGLxYjFYiWJRCdR+/1mpeF2dXoLBiv/UngQxzfBLiDkjUhJKcXc3Byjo6O0trZy5syZppnFLWxlhGyNeLKI+KGHHtoSfa4ZST2rlHx0dNROdFq9Qqz/GhnFBJDKGsyvVe9qVzXJB44+ExpCUyVJvY1scprHg0JDiPKELFQuL0Xk0L3BEtliI6kCAaoCkZsnAMlMhuG5Ffb1tNISqM//Xo8lzSLe4t4szkTiyspKQSIxEAiQyWRYXl4mHA5vSde3jVwWboS8wyClZGZmhnv37tHZ2cmFCxcqXlEbzTpvhYa8XURsoRHJwZrkcf36dXp7e7l06ZKdaM1kMnZ0NTExQSKRQEpp27RaWlqQUtZUeaWUYno1XVX21VDVh5ViIK3IVoBCoGmiwKlTvUBEoISe75dcbr8KI5OxM4VGNokmfeDxYYnW1aUKUEqrLEcohcq/AoaU3FuIsqcjTHdrbboyNMeSVi2RaPmmnYlEr9dbEE1XG15aC2pJ6vX39296/fuFB56Qi78UUkomJyeZmJigp6eHS5cuVf3pvBOq7JxrOIn48OHDW07EjcBqNzo8PIxhGJw4cYK+vj6klGQyGbsxT1dXV0HCtHjCRzqd5urVqwU2LYusnV+6SCxTg1RRzW+sypZUS/KjmJTcWKrweKk01gmAXAZE4X3SyKAhEZ4AyiomqXQOuk7WqHxxEkIUJCuVUswsx0hmcgx2tdT0WdlKH7LH47EvtsePH7dvrzS81O/3F5B0OByu6WJRi+3N+fwPCh54QraQy+WYnJxkamqK/v5+u8/ERrCKQxoh5GZEyIZhsLi4yMrKSkMR8Xb0QFBKsbS0xN27dwmHw1y4cIHR0VH79d7Ihlg84WNxcZErV64U2LTm5uZsovf7/Xh8fpYSklBHN/5AEFEcQSqFLBM7O0cxVWuJqTB1WymNirqypptSxfriRS08VQ5Dlv8cSCOHJhPVLXBCIBEoZSDKDU1VIFX5c1iJp1BKsa/n/o+HKqch+3w+fD5fQbMfK5FovedLS0v2L6hgMFhA1MXDbGtxWWzVdJ6txANPyLlcjuHhYWZmZhgcHOTRRx+t66fQ/bCsOZFKpRgZGWFpaQmPx8Ojjz7akHVtqwl5eXmZO3fu4Pf7C/T4Zrgsytm0LDnk5p17JBIxFpciZJUOusdsyhMyW1yGgwF0j6eg6q6gjSZqXaooA00IU3sWGkKU05U1lOYgAKUQBaRWKFWUgzI1ksoataY7mjQVH6w2qP+GzpbaWr/ulInTzkRid3e3fbtSyq5IjMVizM/P20lzi6CTyWRB98ZiuLa3+4RUKoXX6y1p+FMrmkHIm1nDIuLV1VUOHTrEwYMHefPNNxsiUysxuBVfttXVVe7cuYOu65w8ebJEO9wqH7IQgtVEhmC4hWB4fcKH5g2SyOZIJBLEoqvMzUyb8/I8HrsXcTaTASHyUkX198eZCFQI0wPsPB+PB4rIXnOyr5EukSqc0IRuB96qDClrum5Hz1KWTvMQonqysqslWHNyT0q5pY1/GnVZCCHsRGJvb699u5TSfL9jMbLZrF3Mpet6QSSdTqfdCPl+obW1ddNN4WH7I+RiIrbKszOZTMP72ApSXFtb486dOyilOHbsWMXMdXGE3KxIPZHKEFkpnQAis0nCXj/hnp4C4szmsiTz3dOi0TXS6RRLC/P4/T5CoRDB/Lw8vz9gR6Hl6j8UoOkahiHRi6UKioJVVVoB6IQQonR9tU6ymtAobG2kKAy1VdX31avr7Omo3Tn0oA441TTNzi2Mj49z/vx5wPyVbBH1+Pg4v/Zrv8b4+Djvf//7uXjxIu9+97t5+umnN/28H/jAB/jKV75CX18fr732WrNOpyweeEJu9EvfDEKuZQ9OIj58+HBJn4zNlk470YzkooVYLMbdu3fJZrMcPXp0w2ijmJCbQcZSSibnlyq6KoxsGl2YxRgiT5hejxdvq5e21jbzvc1k6O3tIZ1OkUgkSSTiLC5GSKfTCKERDgUJ5qdPh4qaxktlkjLl9FwsCVkhN5AqoPzxSmFG2ZpW8HqZhOlYsJptBBjsaqmrSORBJWQnnK+Xx+Ohra2NtrY2BgYG+PrXv84TTzzBZz/7Wd58882GawR+4Rd+gV/5lV/h/e9/f6Pb3hAPPCE3imYQcjVYneMqEbGFWiv1qqEZEXIikWB4eJhEIsHRo0cLtL1q2IpKvdmlKOls5fdG03SkAmEYCF1Y3SXW94SZTBMCW6uE9QuLYRgkk0kSiSQrK8tM203jfQSDQULBIKFwC4GgQC9a37a91SFVlIUAmcugeXw28ZvRs9Uuv3yy0kJnS4CWMv0tqmE7NORaEuqbRS2fM6UU/f397Nmzp+Hne+KJJxgbG2t4nVrwwBNyMyLkRq+g5ZBMJhkZGSEajVYlYgv3u/w5lUqRTCa5ceMGR44cqbvBUqOFJcWIJ9MsrsYqP0AIVL50WaFQRs7UYe1o1LytWuTq8Xjsn8AWlDKHWSaTCVLJFDOzs6RSKUCZckc4TCgYJJfL4fdodUsVBfeDebwAmc2ge7woTUcpabosFFUTkfVKFRa2uv3mVkfIG11QtrvJVTPxwBNyo2hmhGxMQ/DxAAAgAElEQVQ5ApxEfOrUqW3zEW9GsrBKsldWVvB6vVy+fHlTCZ9Gu8U5YUoVy1UfY1bLOWEm7jRNRwkdoaRdQFFpv+W+uEKAz+fF7+9Adazb96wS4mQqRTQaZWV5mcV0glm/j1AwP9A0FCQUDJkyh7nLqudgllZbTwyGkUVT0pzrJwRU6MdhYaCrBX0Tke6DLlnU2gt5p/r3q2FXEHIjP5ebRchCCF577TVisRhHjhzZFiIWk1fRxp9H7n8HauhKXRGyNXU6EonYvuerV6+aybiidWvaSxMli5nFVTJV3hNN00uSbBakNNCEzI9zqoyN91r4hXaWEHd3gWZkCQR7aG1tIZlIkkwmiUQiJBNJpJQEgkECwRChPElbfR7s1Su4JqQ0UNk02gZFKh3hAK11ShUWdortbbPYqCgkFos9kL2QYZcQciNolJAtaSIej7N//37OnDmzLVdmMXkV73NPg5FF171kn/k8mta+ISHncjnGxsaYm5vjwIEDPPbYY/aXU9M0c93P/WzBurWQcrMIeS2RYikar/ZESN1TNYemEGgVEnHg8BxXul/TSvTowi0I0D325PLWtlZa25wEIEinM6Y+nUyytLhEKp1G0wTBfPIwEPATDIbwest0jJMShazY/dOja+zt3Hw/lgc9Qq6l01tb28YFMjsRu4KQGyEDr9db1+RpC8lkkuHhYWKxGIcPHyaTydDR0dEwGddqF9PGnzenHCsDZZh/6/0/VlGyyOVyjI+PMzMzw759+8rOB9Q0DX2idF2jRkJuVLIwDMnUwgZShe6t3ssiT6Ytkeu03/sm862nwJHY2cjPK4QwE4VV3gIpTTFEeHzomqekOk8IzU4iOt0phpQkkwmS8TgryyvMTM/YDZhM73SAUDCEIaX5K0BKhK6V1IMMdG5Oqljf/9ZryFs94HQ7Gws988wzfOMb3yASiTA0NMRv/dZv8cEPfrBp6zuxKwi5EdQbIScSCUZGRmwiPn36NEII5ubmmtbPopYPs9z/DnTdizIA3Yvc/w60bKlkIaVkYmKCyclJBgcHeeyxxyp+GYUQZAYfxV+0bi1o1CWilGJ6cYVsrkqSTPdULz3GJNPWxeuc/Mb/hjAyHNO8vNn9LNGus1TtQeFcZYMLohDWhVND6R6zOVE2CwI0oVW8YOiaRms4TDi03ghIqfzk6USCZCrJ/Pw8a/E40jD7fYRC5lDTQDCEz+enI+ynLdRYW9OtjpBzudyWr1/tgtLsaSHPPfdc09baCLuCkBuJSmtNhFUiYgvNKjCpNcpUQ1dMmcKpId+7Zx8vpWRqaorx8XH27NlTU0m5pmlk+y+WrFsLGpUsovEUK2uJak+A0vTKQoICdLN2rm3+KpqRQSBBZmmdf4VY93nTQFatraYjum6bv0q07wqxnvOOLayfY8G5Ch3NK8DIbSB1gDQKZ0YJAV6fl3ZfO+10ABqLS4tk87+4Eskka9E15ufmyRkGB7rDJBZbbXfIZrqm7XYN+UEtm4ZdQsiNYCMydxLxkSNHSojYwmaLMpwJNF2vr/OcGrpSICdYe5iammJsbIy+vr6amyzBum2ueN2azqMBQpYKpleTaB4fMmc26W9Zukl75Lus9jxMrOtsvrFPlb3r65FptO8KUvchjAxS8xLtuwKaAKXREnmVtvlXiPZdJtbtINui6FozMkjdx+tPPmuTspSFPSYKPwYa6B6o0pxIbTDAz7QOmo/T8lM9gsEg5DvlDfW0EfZ77B4Ps7OzxGIxe/ySk6SLm/EU7EOVlmY3G1tN+NW+Iy4h70LUSsQWNhMhFyfm2h75XaQ8tqn9KqWIRqPMzc0xMDDAlStX6u5g14iXuBEPtFi4Td/y14n1P0Ks6wyhuVc4/e1fQZNZpObl9hP/iVjvw5WPF4VFG7Ge87z+5LPoY99kvvUM/p7zKAmtizc4+c2/nydbL7ff/fF1UtZKo2tNZukZ/VLZaNkq3rCi6bXey0S7z1Kt6X3VRKJY14rNopPC+1tDfjpaTKmjo6OjgHAsu6U1fml+fp5EImE7Q5wDAnw+37Z0BNxK5HK5kob5TqyurtZc0LTTsCsIuRkfLutDalWqxePxmojYwmYi5OLEXPvyDQzjR+ret9WT2Ov1MjAwwIkTJ+paw0IjibnNRsjJkRd595u/ha5yyNef5fUnn6Vt+SaazOZJMUdb5NXKhKwom4GL9ZwnwhC5XJa9AKKIbI0MvWNfIdZ9Pi9VmLCia01mkUKnb+yLCJkriZaVUnSsvMbJlz5cQvClTe/XC0AqvHpmT2brlBQFSTtd1xjoqmzjEkLY0bSzGY811SMWi7G4uMi9e/fyRS9J7ty507QpLtuNjSSLtbU1Dh8+vI07ah52BSE3Ck3TiMVijI2NkUgkOHz4cN2Vah6Pp263RnFiLt57kdYaSV0pxeLiInfv3qWlpYULFy4Qi8VYWVmpaw9ONBTlCkEgchN9/r9j7H8cPWfgmXiB3L7HkQOXyh6TMySZ4W+hqZwdkVrRqNS9aEYOqXuI9lUeQmtKFZXfp67V2+xd+gpZfwe++IyZFFQAit6xLxI5+OOs9VywOd2Krtvmr+JLzNA//PmCva1HyYrOxVcdBJ+jLa9Vg1nSoWkahpTm7L0qH6Xi3sdKSnAQ5N7OVrye+gmz0lSPl156ie7u7rJTXJzDAQKBwI6MpF0NeYejkQ9NIpEgmUzy2muvcfTo0bqJ2IKu6/kS29pRnJhLJ9oJ1UDIVnP4QCDAuXPn7J9viUSiIadDI4Tsn7/O4F//Q4TMoWs6PgBp4NO9JH7qMyWkrE1fI/PmN0j72pHCA8pA5fVekxQ/QfvCK0R7LhHrPltwbMviddrmX2Gt7wqx3osV99S5+hqP3vgn6DILdgxqxsICzOh7/hVivRcKjov1nCfWc56WyHV6x76MZmRQCLL+QplgufvhqhcOSf6CYVTrw1zqypBqvblQS9BPR419jmuFpmkVp7jE43HW1taYmZkhlUptOMWlGFaV3Failub0LiE/YIjH44yMjJBIJAiFQpw+fbqgp0G9sIZ61gtnAk3PT8iohJWVFe7evYvH4+HUqVMl+220uVAjxwdmX0EYpsygDLMdjoZC5hTLr36JmNpjf6G9c98j+NmfIZTL0Kt5GG85T0tLmFxo/ed2rOc8az3nTeLErGADk4xPffPvoRlZpO7l9Sc/UaDtOtGzfN2WPsyGlspubJn3SqBl19h761nW+h6xidnWhfuuMHbx1zl07aMIZXDw1d8l2X7Mfr617rPcfvfHyyYJwUwUKgTC40MYOfscbCiQojR4Vso8VtMEg93bU3HmnOLS19dn315tiosziRgKhWzr43ZMnN4oQn4QeyHDLiHkeq7I8Xic4eFhkskkR44cobu7m1u3bjXsIQ5GbtLz5tcQ4b9Vs1WsGJV0aGdP4uPHj1esQmq0hWcjSb1470XCmgchcwjNY3p1pYHQvXiPvsec/TYzQywWY3DssxzNWba0DPvXriLWAAS9o19k4eDfZPHQU6xZei0ghA5K0jb/Cprh0JcLZIR1CGCh8wJHNC8iHyHbDeJZJ+WBtz6FUAqpP8sbT34CBQUui4UDP45QEoEqkC1UfoJHrPt8CRHbe3A6DXSvWSHoaJSv6XpZG56SEqFp7NmkVFEN9X4+Kk1xSafT9vDaSCRCImFaFgOBAOl0msXFRTuJ2OyIuZaJ026EvMNRjoitD0qjHmIxeZWur/yCOeDyzqdqLjcuRjEhO3sSHzt2bMMPWaPFGZtJ6mUyGYaHh4lEw8RP/H0OpW6QO/GjZDuO4Zl8kdy+xwkNXMKZE58PJVATn0PJDOS7UlgRrCYz9I98jt6xL3Hryf9MwpIkBIBGzt+JsjqhWZY2KPEOSwUr7af5zrl/y4nod2iNXCMUHbGJ2ORBDaEMMwo3MnSN/jdy4cEClwWC9SSf4/lQzjScCUtKifZdJtF7sdT9pnnQhYaRyxS4KoqhlKIl4KOrjknStaIZVXrO0Us9PT0Fa0ciEcbHx1leXmZiYoJMJlPQVc+KqBvZw0YukbW1taZW6m0ndj0hVyNiC5stn7ZguiUy+Z/r2ZrLjYuh6zrpdJpEIsHdu3dJpVIcPXq0QOuruo9tlCycPTEOHTrEPmbofP7jCJVDm3iR7E9+mvQjv1zyWi/H0yy0nSH5nk/QM/Yleke/iJDZfN9f60e+Qsgs6Vt/xq1eP4FAgFAoyN70CAe/97umK0VorOwxqwhbIpW9wyDovWfqwGDSvxQCoVTe27AuX/SPfZnRi79u6sIyh9S8RA4+ReTgU0XWt9IJHgVSiqazcOhvETn4VEn0roSG7vUjqwYAasukiq2s0tM0zfZDHz161L7dmjgdi8WYmpoiHo8XDDJ1eqebNdhgK0u3txIP5q6LUO5NdBKxRWqV3uxGI2TTLWEWNYg6yo2LYRgGMzMzzM3N2c3h6/mANkOyqHS8VcBi7Huce7KfiYmJgp4Y2Tc+lSdWiTLAM/kiRlEiL5MzmF0xf9paibPIwafIvv7nhPoO0B69Q9/YF+0EX/DMj3Ky6yFSKXPaR3jsxbxOrUAZdE19nY6Z7zCz730Fdra2+asAtI99E39i1r5PobHa/yiGHqBr+q8KmvcIAGngSa9w+92foH1hnYBbItfXT0Jhz28SYj0qNp/HklIk/cOfo3fsy7z+5LMARYQuELrXPM8yr3d3ix9fmaZDzcBOmjidTCaJxWKsra0xOztLMpksGNNkJRLraXavlHL7Ie8EWD7YWCzGyMgIqVSKI0eOVCViC5uxrDmhhq6Q/pnPMv3CnzD0fT9bt1xh9SReWFigpaWFixcvbipS2Eiy2KitpqZpJa+DmLyKdvNP0G8+B4apD3ue/L957LEfL4hCckOPIa960VQOdC+5fY+XrD+1HEcqVSIv3N0bZmhoHytBP5FDhdGoBnbbS8EPwORzeanDJFEhM8iVadY1YklyeZaTtz6EkFmU0JGaB00ZSM3L5Om/R8/YV4peGFPLlbqHWP8jxHvOE+81I+HWyHUeckTfbzz5n4l2nUUpRfvya5x64VfsqNiUUvLe47zmvPeNP6Rz+q8RSuaPf9bUxvMSjNAFyvGehQM+9IB3y0hzp5RNOweZlksixuNxFhYWGB0dNYcB+P128lApVfHCouyL5c6z69WCXUPIlt6aTqdrJmILTZkasu8R7k0aDNZBxplMhtHRURYXFzl06BD9/f3Mzc1t+sO0UYRb3K6zmJRL5uJZx+TS5IfYo8ks+5eex/D87YJjjYFLvPno73LcN4/c/w5k3/mCSaBLsRSJdK6svABhU7KQqsByNnD7EwUygZIGsfZjtC7fWo9uhY6/ez+svmy7KPpWbyBkFg2JVHCn+wfxeDx4dJ10OsP8gR+jb+xLILMozcvoxV/Hk14xnRY9TgucoLWocq9l7uU8IUPH4ncdUbH1CplQaCih0zn1TQTrOnXr/FU7WWmanwWaLszm9EJjoLuV4aWZLSOUnT4tpFISMZPJEIvFWF1dJZvNcu3aNYCCSkS/34+UknB4861J7zd2DSFPTU0xNDRUFxFb2K5Bpxay2SxjY2PMz89z8OBBjh07hqZpRKPRupJy9TSoL9eus1jnLj4+/ebX8OYyNtFZWqt+8znk2Z9GDV2x9+Dte5i1jpMYF54xD85k0Kev4b39eQwpkYEjDKRX8MVnCuSFodf+E5MdT6EYsl/D3uHP5a1mcp20lcGpb/49hLS0YIESGqMX/gkAfY75IG1rd0DzIPM6MIOXOHjz/0LILEPTf86bHe/i+T3vp1VLIYPdtKzNs7L3MRI9F0osaHblnpFBAbm8F1kpxWrPJduHrAR5XRpbGkmFh+gf+dx6IlFo60lBB5QQaB4v/W1B/F7PlsoKD2IvZCEEfr8fv99PMBgkkUhw5swZpJR2JeLy8jJf/vKX+aM/+iPi8Tj/4B/8A86dO8eP/MiPMDQ0tOnn/vM//3M+/OEPYxgGH/rQh/jIRz7SxDMrxa4h5IceemjT+ulGhLyZCRrlsFFP4npcEuUiXqrsrVy7zmJYhGzZ7FrEEGd0D8rIYhnFRD5S1cafR4K9h1bdS/jSvwEuICav4r/+abyvPQcyhxc4aO4apXlNCUHmAEn73Iv84Pw1rvf2kh18hJbI9TwZ5/JRZZqh1/4ThuZHyIxNbmudp7h3/teIdZ/j0Ksfza+ePw8kcwd/gmXRznzrWQ4Zw+t+ZCU5ufx1ZPQ7vPnQP+T46/8RTWZRb32SSOAgo33vZWr/3yIUChIMhlDd5xxeZMnB7/07Eu1HgRDRrnO2D9nwd3Lge//OdmNMnvklADuhqITG6KXfqOiZDvm89LSF0KavMTD8Bbzh98GhzeUiqmE7JIvt6oXs1JsB/tE/+kf80A/9EL/3e7/HT/3UT3Hz5k2Wl5c3TciGYfDLv/zLfPWrX2VoaIgrV67w1FNPcerUqaadTzF2DSE3gmqEXMtP/Y1gGIbdk3hoaKhiT+J6+mHUEvE6Ua5dZzGy2Sxzc3MsLy9z7NgxuuIGvGI9oQZCQ0ljvf9y0R5aF68jJo+XyBywbmtDGcwf/gkCsUna5140tVaV5eCbz7KSGqd74qs2GVsRefvcCyUjm+IdDxHrPkffyJ/SN/oF+zkApOYhcugpxhgklzPo0TvNgagO7VkzsuyNfAvdUTjSlxqmb3yYm+EwkdUB2iLXiBMisPYyKMN0fxhmO0/0d61PhhaCeMdxu+Ta2Yho7OKv0z3xVRaH3svCkZ8s+960Ll7nYPwm2mw3gb/65+zPZWDs02UrHMGsctyoLL0StiNC9vsb69dcDbUUhfT29vLEE0/wxBNPNPRcL7/8MkePHrX7Yvzsz/4sX/ziF11CrgWNaG7VCLle4nN+4KWUTE5OMjExwd69e3nssceqfpjqIeRaIl4LzgjfeMeHS+7PZDLMXP0i2r3n6dtzieMHj6O//l8R0981zx0zc22cewbah2xCl1Cwh9XOswxar1eBzGHC+jvR8RALB36c1sh6L4iuhZfoWnip4LH2/s0zLrjd8LbQsniDQ9/7t/nCjfzarYeYPfZ36Bn9Ei3pFOO9P0D02LtZ2vMOuqe/4fAhK+IdD9EWeRXNSNvPo4Bj957jTHIeoYyCnUg0pObhZqKXuBYnfvt/8o67v40mswzq/5nXn/wE06c+ZD++JXKdg6/+LpqRNp0fghJStjR1YWTyG8j/CjGyeCZeIFOm5Dz02Z8BI1uxLL0adrqGvBFqKZtulgd5amqKffv22X8PDQ3x0ksvVTmicewaQm4E1XzI9RCfx+OxCXVmZoaxsTH6+/tr7klcDyHXEvFC9Qjf8hIn73yTh2/+C9OVMPEniFfMZusFJKjptm5cbg/pgUeILniQe9dJWgmdpf53IIDOmW+ZyS1lcODV3+H1J5/l3oV/zN43/4hAbNwmQ2fhhnD8bZ9P/u/wypsY3ha7sMN6THDtHoe++1EzGgf2T/8ZS/PvpGvm2+vnghmt773zxyTbDhNeebPgNfMnZrAaeq7vSSPa/yiTZ36J3p7zRF5/nWPpCXRpauzSyJC8+RXe2BsgHA4RDIbonXoezUjnfxnkOHTtowWl1wDdi9cQli0vvzmZt8WVc6p4Jl4oCBDKkXY1PIgashO7ubEQ7CJCbiRCrlYyXCvxWevMzMwwOTlJd3d33T2J6y3sqNRI3hkRl4vwswOXmJiYsL3Ex9vWzJJnJdc9tgV9HwTG2WfKnru9h1wONf9d1NAjZJ/5PLE3vsZk6AzxnvMMvPFf6Jr55rrGK3P0jH2Z3ntfcRRsUECA9vrrZwWOxN3S4A+Q7DiKfMNXEOFaFxF7DZWje/objhXWV9Nk1ibj9QuBKCBjaw9KaEye+aVCDTjUa+9JoDjsWcDbEWM2sIdkMsFd9nMQDS3vslBK4p/4Nisdp21SCR57Am78gVkunX/+lc7zeN/7z6AM0eb2PY5P96Jy5uA/GayvZ8NOsb01sv52EfLg4CATExP239YYtK3E1o4N2CVQQ1cw3vHhimSslGJubo7V1VVWVla4dOkSJ06cqLtBfDOsTm2rb+B97mn0v/4dvM89jQp2gu5FCR10L/Oh47zwwgvkcjnesc/D4an/BqEu+zFK85j/P09pCgEeP/LsT2+4d+tikuy7wFsH/y6x7nMARHsvozSvHflKzQOKvGVsnXKLe02Ak5yderRGquMoa13nuP2uj5FoPVS4F5zl0Y4+wwiU8BQ8V2EULph+6BdMy5rjPvOe0gu2N7uK2QbIRNf0X3H22/87Q7kx9u7dS8f5H2Xs8m+i0PPPrXPPe5S7d+/y2mu3WJgYYSzbzcKVfwLCY+rkHj8jB36m4mdNDlwi9Z7fMjV9KQn81T9Hm75W9rFlj98FksV2NRa6cuUKd+7cYXR0lEwmw6c//WmeeuqppqxdCW6E3ACUUkQiEYaHh2ltbaW7u5sDBw5saVJjI3RGbxVExCK5TOaZz5F8/auMGAPogUNcOXUY//x1vM/9NBhZ0L0Ylz6EnLnOZOvD7Nu3D89ffMQcR6Tp5H7wX5V6loucJ5aHWSnFxMJqQZ+GWPc5bj3xcXrvfQUFLB76MYLLdx29iUuliXK/V5xE3TL/CtGuc3ROf4Pg2ljBMev/mjSqYUa4y3ufIBPoYs/I50ukEYClgfewMvj9tEZu0Ba5VkDaSqmC6SG9sTF8zKA0L8is/WxWA6J4z3nCkeuEl143/cb5CSN79uyhpech/B6dwXYf8XicWe2Hmb3STWj+GqsdZ5n3HSA8NVWx3aWWXM5rzbKi1lwJrmRROzweD3/wB3/A3/gbfwPDMPjABz7A6dOnm7J2xefc0tUfMNQz2qZcT+I33nijYT9zo4h2nYPxzxYk2m5PQ3DPUxw9etSc0UZRsjKn0K9+DF1JDoiXIfP9IA3b4iZmb9rri8mraC/+AfrdvwCl0D0+ss98HjF42fylsBIjmSl9DWLd54h1n0MgCC9e5+CN3zMlknzZhGbTZyk5O29TgNS9RHsv0zfypwy+9Udlj3HE9+bfStIx9zz3Lvw68AXMzhlFkbRMcerr/6vpfxYeMsE+AokZFAolNHt6iNI8PCQlOhKpeVgefA8dM9+2qwFXey8TtgtgHG4TZdhl3QcTN9BbemhPLptuiXf9NPDTdOdyLL3yij3J3Gp36ez70NH3sClb5N/jclpzJWzHxOlGCHkjB8lGhByNRpuqIb/vfe/jfe97X9PW2wguIedhOS02Sr6trKxw584dvF5vSU/izQ46bQasiFXTukn85Kdh7NuMqAFiyQ5OnTpe0ju5IFkpBEhpFmuoDNz9C9b12vVCEADv//e3wVi3jykjgzb+vFk+njVYWI1vsFNF28IreXeFykewgnhoPy2JexUjZYWG1HQiB59ifv+PEes+x+Fr/3J9H2X+LbxPockcnswqUyd+nsE3/7DkMZ2zz9t/a0qRC3Qhk/NoebeFkOZkE2QWzVpTGcS7zrCy952mvW3fe0n0XmDv7U8UnKNCIDUvWX8HpyxXhdnCHp/HR+KnPgNA+NbnODk/T+f+X0KeMAmpuO/DTKwF3+l/TvfabTJ7H0Gwl5ZotKYualutITciidTiINmI8KPR6APb6Q12ESE3KllsRMjRaJQ7d+4ghOChhx4qGYvjXKMRWD/96zkfp5PitNC5LX6HlZYnOX78OMcrRAvOZKUKduL5y3+KMrImeakih4GRRbv5J9A+lLe05dcwnx0x/V30P/s1ZPQwav/6kNaWxRu0R64R7b1MrPscmoBQ5Aa+xKzpabYdEpJwYrxgTfN/FQrB0t53E+s6zVrfZaJd5xD5tS2pwj4nx7/F0a+ZmNNZ67tiNr4XMPDGH66/hhSTuaJl6bX13SjD7HmBbmrt0kAhUUIn6+/I29sytEZeJdl+rKTCL9l2kNnjf5dgNrrehAls2cF763N4b30GjAyDAJ/5Gtkzz5A9/ZPIgUtl+j6cI5vN2j2JnV3UrHLi1tbWkp7EW60hw+a/i7U4SHZzc3rYRYTcKCqRqdUjI5fLcfTo0ao/h5oRIVvVevVUOznlB6EUA+lhjr3n59CmXkG7Xdkd4nRpZHtPwti3GZ2Pcnz4k6icGcE5o+Tcez8Kmo6Sha+TdufPAPghPLx1+AgAnSP/jf6xLyGkYQ4AfeJjoODUNz9k/rQHRx9k8zksMoy3HycUHQYlUZqHTKCbaO9l4t3nEHmGbVt4pcQWp4ROZP8P03Pvz8AhSVjuhYWDf9PuI2F4WyHvqKikXZeQulIsDzzJysA7OfDKR+3Hh5dfL+h30TZ/lelTH2Lm6DMMvPn/IFCEoiMc+u7vEHv3vzCTpoYyzw8NNB1t/ma+hWv+uWQO743/F+/tz1b0Gnu9Xjo7OwsIyBrFtLa2VtCT2Ov10tLSQiwWo62tbculi83AdpBUkWJ2c3N62EWE3KwI2cJmehJ7PB7S6XRD+7BIvdqHzplQy+65yJS+nwNCzyevPGhH3o3+vU/lE3PS1nmrWfbU0BXkwCVmXnqJQ4+8zyT54a+hT75oEpM0EMlljHM/h/69P7JJjnyUC6Bh0D36JXrGvlygnVoDQMNLt9CshvDWuVCqF4ejd/JMKlDKYM/oF+gb/wpj534NT2aFaO9lor2X7Qh0XaOVSD3E6OV/yqFrH0UVVfzFOk/azxHtu5JPyJnz8tKhvQTy/mPLEWFb2uxzlHTO/DWezCoa+dJuZYAqbWLfErnO4Fv/dX1vADKLPxsl8VOfwTPxAjLYiT73Gt5bn0GfvZHfpeN9pnKBSCU4RzE5YTXnWV5eZm5uzrZzOWflWdF0I2ik9aUcuGS/NpU05I0uJLlcruFzuJ/YNYQMpd3K6oFFyMlkkuHhYWKxWN09iZsRIW+0hpi8mtdxs2iahxvn/iXtp99L7u/8KfrECwzLAXoMmSfjXIHOu1HTfNspka/C83773wF5ktB0VLATsToJus8sodZ0kHO7rxIAACAASURBVAZKmfuV6HkCLtJOdQ/R3st0TX+j8PmgfHRqVd4pYWu1wsjaVXlS93L7XR/j9rs+Rs+9r9A/9kVQOUDRN/ZFbh96itvf/4cMvPyv6Vx7w754hJdfx5vvIAemL1jk1w8kZ7Fml0jdx8yxZ2ifu4rU/bQufm/9wqNytEWu2fuVCCKHnmLx0FO0OsqmD77y2/Yx9nnloz45cMkmWO2lP8gnUM1o2dhzjqWMn97VV+0y9XqSdpXg8/no6uoiGAxy5MgRQqEQUkq7cfzi4iJjY2Nks1m7ybz1XygUquk70Iw+xM7Xpl48yH2QLewqQm4U9+7dI5vNcuTIEU6fPn1fusZtRMjazc+s/7SVWc6r28j9HwT2Y+x7hNQbb+Cd/EI+SZcnA6HV1DTfeb7a+PN5ojDJzDj8A3i++humTU7zYJz/u6g9Z9H/4jfyJcYwHzzConeILuFBUzmk0Bnr+X5eDz/G7KxOLPx9PLZ8q8SeVi4JpxB577JCkxKEFakqNCPL0O2PszT4A2RCe1jZ+y46p7+B1Sujbf4qWX8HHWtvOZ5H0Tf6BbuD3MKBH0fLR9CwTs5KeJg59gx73/pjNLk+ZWTdiVzoBEl0PmTP1FtzFo0UcUOu8yiZH/790iSVs9BD08iefYbX0sd5dFDbdL+KcrDcC+FUD/rx4+ZtmkZra2tBPqR4Xt7CwgKJRMKOvC1dupwdbzv06VrwoPZCBpeQ7Z7EMzMz9PT0cOnSpU2/oVsZISulWFhYQJubZ8BxuxCFP990XSe15zKtHp+pA2sauR/6nbobIhWXjAuwLwRKZhHxeeTrX84nqEz+2Zt8k/43Rxi78Ot4s6us9DxMvPs8PUC3UiRTh7kRCtE3+w0WfPvw5OKcWP2WPZJJKJOKpeZh4dDfJHLwKYSStMy9TM7XwcEbv4dmmANLO+ZfomP+RXOvwmNKDCoHShKIDjM0/j8ReR2Z/P7WCT1Ny+KNgouA/a/K0Tv2P/Ld4exXo+CRzgvIat8VBt/4BKu9Vwqq+CKHnqJ37ItmJznNW5aMLeQOPIln5KsgDQJf+032HvkQ8so/LdvHYjMk7XQvnBE68UOHYP+jFdctNy/PMAybpJ12PCuabm1txe/3b7mDo9p3M5VK2bbOBxW7ipDrkSzK9STOZDJb1qSoVpQj5OXlZd566y1CoRAn3vWL8Pmvmy0xdW9JBZ2maSR7zpYt966njWhxybh2808Kn+fO/8zXs62XWANoKkfAWGPi5AeRxrq+3Lp0k8GFV4gOXGbs7P9i7kcIbsx/j/Drn+HwwtcQGCgEr3X9MG/0/jwhGSTo9xI8cQpNaCTajzJ0++N0zL9kSyIi/5zOerzee//dXJ9C25xCoGFa2MKrhf0rnI/1pebyxxTfX/jZinecYO+d59CMDANFs/xiPed5/T2fpDPyCu0PvQdVhkA9N/6YwNd+0yzAsZKaMseJu8+SnP6RAtLdyBJWjayd7gWhFN6pl8jlCbnWZkW6rpdtHJ9KpWw73uTkJNFolGvXrtlRdGtra8NDTS1slFtZWVmpOJH9QcGuIuRakMvluHfvHrOzs+zfv9/uSbywsEA8vpGHtjqaHSGvra3x1ltvoWkap0+ftr3E2b/zhYrEavXDKO5zUWsb0bbVN9Cfv2qvba0hAf3GHzscFsUuBhNK87K25zE0m14FLYs3OPWtv2+OOsrrvwhoi7zKWt8VMqG9aBh5BVdxdvF/kD76o0zn9jO3ukQymQJgnzFFVw46SqgRnMkz8zKhoVj3OQtACAWqvF+5tMwaYp1n0HIJQmsjzlcYhUIKnVjXOcIrd3DO8nNGybGe8/ScfCfKX2ql9Nz4YwJ/+X+s6+XOPSlZksirZgnbiFSd7gUl9AL5qpFmRUIIgsEgwWCQ3t5eYrEY4+PjHD9+vKodzznho54AaLc3FoJdRsjV3lyrJ7E1WaS4J3EzotvNrFEcteq6TjKZ5MaNG6TTaY4dO1byIavUVAgqDzotrMyTaDf/pGQNMXmVCzf+GZoySkhbDV3JOyz+qyNhl9+PKQQw3nqR5OO/SqL3opl0VDooqxAkP+rIyHLg+u/RsnrHrnqb6bjEuusYUJK98dcwjl8GTN9tOPI9Tn/rt+2JIU4SU+h5+l9H5MCP4FkaxmMkaU1M4Oym5jweCiNhZ0S9cOQnSLYf46G/+oA9hXrs4Y/gTa9wPd7Dw75RnLP8wkuv2QNR2+avog68g/DQO0vfi+lrZmTsIGPQ8q4ShdI8JYm8apawjUjV6V64sdbOQ4OXa1q3Xlhl0x6Ph46OjoLPrVLKnu6xurrK1NQU6XQaj8dToEuHw+GKskcthPwgF4XALiPkcnD2JB4YGKjYHH47EnLFKI5aEz/5aRYWdFKpFKdOnaKnp6duCaXS1BG5/x3omp4fqFk4hsk+dvx5uxqtuPezlJL5vnczoD2HJnMoBKtDT7I68C486VXW+q/wwozGud7ztEZeJTTzEss9D5PsucBq7+X8qCNT/21dvmWeP4DMsHfpRRQaQujmAEvdx3L3xYL9t0e+m9d1Cy8GkT1PkNDb2Tf1ZdvXrBB03ftzdNZfB2vkk1IyL7Vg76FclZ9AcuC7v8Pr7/kkr7/nv9Az+iUQkGw/xkLPeTq/9R8ZGCks2+6a+is6Zr5t9mdWBtz+GKn0b6NZ5dF5kvRMvFCSdE394L9B9jyEdvMzrCwv0xF5o0CCqGYJq4VULfdC9OWXS27fyGpWK6r1sRBC2Ha8/v5++3bLjheLxZiYmLB/pYZCoQKi9vl8GxLyysqKGyHvVEgpmZ6e5t69e/T39/Poo49WfTObQcjV2niWfXxRP4nZlz5Hy9kPsmfPHnp7e4H6dF9rD+V6O6uhKxhnn1mPcPNjmJxRstz/DoTmMW1s+d7PSinm5+cZHh6mt/cEnsf/T/qf/y2EMmib+Q6zpz5IvDdPnjPXaYm8ytG//EBeV/Xy+pOfINb3MLef+BhDtz5Ox/yLJQUXGgqJYu7Q02TCe1ntuUi861zB/qM2qa/7jhUaiZ5zRPsuI6b/h135Z95jUChhAEqC8LDWcpCWtbsFRSHlemdoMkPP6JfMBF1+FFPv2JcZu/CPOTj9hzhlG/MYs7mQvT8jQ+AvfwOgQErI7XscnyPpmvqBf03u3M+ZkfMbf8qeXBqm/gxnWbVFyuXkhHpItdwFvhGrmRObaSxk2fGcPv9iO57lfgLz8z07O0trayvBYLAgmnYlix0GK6lnNYfv6empuSdxMwi54r4qkKqx73E0zWNWbelehr7vZ9H0Tru4ZDPjo6r1VJZnfxr9tc+sJwSLrHBq6ArfO/cvOdceRe3/PpZbjvHW1auE/n/23jtKkoO+9v9UdU6Tw06e2cm72pwkhEwQwgbJyMKB48PDOvbBwr9jSdjw/MDGxviBhEgCGxOfkcCAMRY2GJNsg8lCG8QGbZicc+ycKv3+qK6a7p7unjwrrfaes0aenu6umu7+9rfu9977dbs5evQoSVUk0b+U2tChFx/f7FmzIAuCgHfmjOlaExTZ3NIcqTxKpLSTkrlnzAIWrDyGd/G5FHVhY6HldUTKD6CmdfjexUtmStzIwf9NyezPKZ36iX4+FhvBKv3yW0vxxCuFVS/zoPOmxjGrmkJSTWmbyeRuYXVhRoCKkW+aQfOiKlE++X2MTdKZNu0cVzOGFlnWcDz9OImXvG1VAQWwn/57hOBkSsliDCzXn+a2XUV1K9iupLd8cjyjg47H4ywsLGTI8Z599ln6+vq2Pa/4qaee4j3veQ/Xrl3jzJkzHD9+fO07bQE3VEEOBAJcunSJkpISjh07tqEYzJ0qyLmKqlp3nKmpKUbGJFpe9nHqpGFofinUn8AyO2tSDhtdHwWFaZP1hO2HSroJHjjAwMAAyuwg3d3dFAV6EH74l0jRJHJJV1pGg4DsWOHsRAH8FceoSbnWNNGqb2ZWVTyLF6nt+5L+N0EvXv7qlzB+8E8Qhn7IcvkRrOWHUJUkRsKwd/ES+3+SvmnaAqJFL1iChZHDf0a4/BDNz75v1eYQAZXF4gOE3E2odUf1rAlVAsFCaXQ49Xik5HbqqlJq3BbwttH23IcxNBaaYGGp7lX4Zs6gpRVlTbAw1/J6iheexRlMHwIapV/FMvpT3JOnVzplwH7mU7rkTdPAYk1lfGRuatkOY8huYCejNwVBQBRFiouLqa1dEX4qikIkEuEXv/gFFy5c4Hvf+x5f+tKXaGlp4V//9V+3LMO75ZZb+Ld/+zfe8pa3bPUU1oUbqiC7XC6OHDmC0+nc8H23U0yeHg6UXVSj1/6L82NSxkaR9K4svaBuZH2UgbW2jhQaCCaTSeLxOM899xwdHR26S9F0BiYpB8pEO7Odb6K65wsImkLDs48RK+kgWnUEQbTQEy8nfPxxqsNXiNbcRqLyMFZVY8/4dzOKpiZY8FccJVSyn5naCmw2K5WKlPG3K5o/Z26a1qGYZhU0DWvCj3fxItUj/0G6KM14DlV0cKnzT6iuriJW3E7R3Flskem0PGSB5ZqXUzLzM9MEYv6dBJFftjyIb/JZU5OsIjBWfRfD1a8mVPZLDi59V1dyCBaGj/0F862/RefMf+D88bvMY5G678MyfR7RP5LR8cqA+6u/CSnVik5xyCQr9mNfuGyOOKX9b9gWYwhgvi+2siS1EBRF2VHbsizLuN3ujJ9ZLBaKior4gz/4A0ZGRrjrrrt4zWtew+Tk5LZooru7u9f+pW3EDVWQd1qYvh4YPLKZrpVWVFXBwoyjjaNHj+b90kgvyBtZH5X+/BtZAwWgjZ0meOk7jFkasfk6OXr0qHl1YX6hGL+sSriXezJoC+/MaQKlB9i7dy/hcJip6F76HdUkppPYFnpoUEapGFrZDK0JFkaO/QWh8kPEe35A88Kz0PYKYrKuIVVR8S09hy0yjUE9mJSCYAEN3Y5ddZyiuXOpQeRq1cR09crWYT2P+RDexYtUjf6HmTsx3f37+Gtfyt5z70NXTAgs172C6a7fxwm0/fDTK8ctWhmteAXSwI/Zt/xfKVmdyKX2h1is/jX22C1Yj99P3G7F1vcdlKr92M8/AbLOe2uCaA7dbFe+ZlrbzWMWRaJdv4n16T5dW22xIe3Pval6M1BVldJwP+6n3r3pJamF8HwJpxcEgfr6+h07jp3EDVWQnw+WSYvFkhFwEizuYuroo5QsP0fxobtpaS+8mjybcijU0a7n/oWgaRqLF7/Lnv98gEpVptJq57mjj6JpKzxZsv42nKkQHtB1xsuNd+Gdf9YsaqGq4wiCkHNAI0kyVZf+O607FugtfQWnpVsoOfcN7hn/ABZVQl34Oj0v+wzBsoN4Fy6y7+k/RlSk1FaRFKsqWFjacweSs5z5pnuIlB/CHRjQC10q4Ge6/XfxLvew2HAXIa2CjrF/QhZfgUWAspFvggYjR/4PtoTfzJ2oGPkmmEVfL+fhikPUXv0HRLPYC0SKOygrL6do/hwWTTGHkU4pgDj6c5xXLtJTvB95zxG8x2+nfvhfsBsLTBFRGu8wOWSufG3ldQBAIH7nI4Qb72ZWK6dFmNz2DlZVVUoCl7e0JLUQni8FeaN41atexczMzKqfP/LII9x7770bfryt4IYqyFuFsRduK122wUXLsszAwICuJT52DyUl/2td99+quWS9HfLi4iJ9fX10zj2dSmDTL6dLlp9D037T/L0JdxfKqz5P+dC/6/fbey+h8oNEitrwzZ4lvOcE4YrDucZZANjtVqSmO9AGv4CmSqiClf7iO/RNK8lfIqa2NguKRNGzn6RCkBHsHlO3DBbm9v4mGlA58u+UT/8E1WJjtuG1uGZ/SfOFD5nW6+HDf8ZC228DUDn4NV7yyz/VbxvSIzCN0qcNW7n6yidNE4cttphxzGWTP8K7cDEj01iX611l30//iOEDb0cVrPpjW6zYS2p4+XN/hZAali61fJ4lZwVznk6KBCuCpuuth5p+B4u1AW80irjvN7Fd+SqakgTBQvxVjyIffCPa8jLR8ltItt+nv55Z9MJW6AZVVQmVHYLRf9kW3XE2dqMgF3r8zWYhf//739/KYW0rbhbkNNhstm2J7+vv7ycWi204LQ52viCHQiF6e3uxWq0cOnQIz5IV+v7R/ICGyg/hTd1/ORInGJUQq44wWqkXXUVR0VSNcMVhIpWHMxQK6fAuXMA3e5ZQ9UnCFYe5+JK/Rxv4H5ZKD1PW/Sragldpnv2vDF1xfWBFI6snx4moWOgpegm1kR6qU6looipTtnwBTdPMRamaBtb4MrIs41u8SMuzj2bEZpJ+nJpMxcg3zYIsu8rN59W7YZWK4W8ycuKvGDnyf6jt+TzO8JhO0SgyVsnPd5veyUHPor5KKnARQU51wrKGd+EC9taXwp57idfXYxl/mlj1MWzeDpSRXxCfPM2YpxPLwfdSHetHbrgVW8vteFQ1oyHIduDFX/E3OH/415umGxRFIVK2f9t0x7ke/3p2yNu9vul64IYqyNuRiSxJ0qYKsizLDA8Ps7S0RFNTEwcPHtzU8eRz2m3k/rkKejweN78oOjs7TUeT5s7kqaNLDlRVRVJUppejAKiaBqqKoqogiAiCgCCwSmhmwLtwgc7/eTOikkQVLQxV3El/8R24T/4JxamhjG/2bBr3KyC7KrHHZs1HjPsaSbqrmat+GeHyw4xJCi2CFVGTQIP5iB6qX2+x6UYV0UZ4zymsVhsli+czBogZAUPGf6f04oIA882vo3Lo6+gRnjqqRv6dSFl3ahNIInV/UeeuK44xp9mZ6roXi0XEK86Q7thTXWmB8Sn9sBWomnoW98//FBSJRouN0H1fxu97LZFwmFBK0mV0gXa7ndrB/9FlcJpu1LH1fWfDdENGR+3r0N9fOySR2+mCvFaWRTKZ3NRAvxC+/vWv89BDDzE/P8/dd9/N4cOH+c///M9tfY503FAFGbYnE3kjSLdkNzQ0UFdXZw4WNoPt7pBlWWZoaIiFhQXa2tqorKzUC2qWNtrgqUX/Zd3duBhGSXVsqmoULwFR0HtaURD0Qp0DvtmzaRs0VNrm/pO9iz+it7mJsPswAKHqExmh7ovN91Bz7XNmeXeFx3GHRilauIDtiAOb6Ge2843U9P4jgqZyeOSz/NT7KP/V+tdU+C8yX3KQaLwC2+wsi7Eq6gQbFk03aWRbo1XRxmzj3ciS/lr7S27h8ss/R/OFD+FbvpxScSiUj/93WraziL/qJBP73kKw9BaEeT2cqLbMh3UqgJ6YoaIJor4VOgcyLM6yirP3G5Te9f6My+yZmRkCgQAWi4UZZxs+g/IQrMyUnaJ24plUsMjadEN2hx15zecQxT3mbdvdJe90QS5EJ+5UFvJ9993HfffdtyOPnQs3XEHeCjZSkDVNY3JyktHRUWpqakxL9uDg4Jb0zAaPvVkYHXa6ZbyhoYFbb73VfDNna6PlV70PIbasp7qJHpZCMYKymFGIje8XI28iXzHWNBizt1OT6mZ1Fe6KiQT0gh2uPkXvnU+kaI0ThCuPkPA1UDr236gWJ6WTPzRDe5qffVTvEk3NsIaoybQyxvSxP0TjdbijMZYmxllcXMTh6eS7Le+iNnIV1VlKpTSBzWolXrEfuxQgWHmcePlBrKKIqurHHCw7wPCht3PLT/8IQdE534W6V+Jb+CWiIqNarEzsewvh8oNoioIgCBR5HBR7nCvOuxSHnK9Qyg23YU+zr9uufNXcmZf++rtcLl1rW3sf8cZGrFeeQpFlqOpm4PbHsU2eZsHbTXzOgjc6YFqMs4PkszMubFOnEevuW3fC20ax0wV5Pbsmnw+D/a3ghivIO90hp1uJ07XEBrba4W7HGyqRSPDMM89QWVmZ0zKebdm2/tc7QdOwWGw4Tn2IvkAXJaWl2O0ORDHH8QgpsiLr7xwMhhgfH8Pn28vVV/w/qke/TeXwN0BTUEUbsqNkhcqwfIbeO59g+pYHzPvPt7+B+fY34J0/T8n0T0GV9OdK5RijGbI3NWVKKUHTYH5+jpmZWWpqamhv70AQwDsfxz09y5x3Pxfs9xKNRIjGYoiCgCvoxqcu4PL6MsJsYtXHufbyf8A3e4ZA5TH8RV2EPS0ULzxLoOIYoeJ9CKqKqipYLCI1pbqTLJd1OVcHqtYeQ9r/BmyXvmTa11cFAeXI/LVf/RooEnV939CL54l7qUi9zkb0pREkb7FYzPyH8rKDVKTp2GNVxxBFcUsJb4VwPff0JRKJF/TqJgM3XEHeCtYqyEtLS/T39+PxePJqiXfSgr0W/H4/vb29yLLMqVOn8vJpGYYTQUgF3eg8ZVGwl2RRGyMjIySTEna7DY/Hi8fjxuPx4HQ4VvjX1MV8PB5nbEzf0dba2orT4SQuNDJafYzFva8zu+BMKkPvmMOVR1YfoKasdOKAINrMoj7T/rvU9H4RQVNpfPYxrixZSdSc4FS1RNXIJ2FY3+LReP4DiIpEg8WG52WfIdymD/BURSUaixGJxZmfX2BsdBQNcDqdeDxewp5Wgt0HsAngQCNWfZRY1RFUTUXQQFNVFhcWqSxygaaSTOpdobrnCPKeI4iiWLADlfb/FrarT2V00+nFW6OmYJebXjwdDgcOh4Py8pWhpCzLhMNhfXg4/gt6W34fmxQiVn2MCDUIySSJmhPblvCWjZ3qUNfqjm+EpDe4WZAzkK+YBoNB+vv7sVgsGbnEuWCxWEgmk3lv3wlEIhH6+vpQVZX9+/dz6dKlgsONDMOJqwTb9/8KTdE3WwSqb6WxskH/PQ0kKUkkEiUSCbOwsEA8Hsdms+PxuHE6nYRCIeKxGA2NjXo4uCCQnnMZrjhMuOKw+f+n88ah6tX6akFT8c2cRlRT2z2AuebXkfTUEqw6QdH82RRtoSKoEvsdM8RcC3T94M0rFuvU9hGdKpEpmj9nKipEi0hRcTG+4pVpvKpqJOIxwpEIwtjTOObPMeFoJ1h6AI/bjTuVUpZMJhgdGaW6vJTbjh1ZyZ7WNJNmUhQF58jPMoZx6UU0V45FevF2vOzjJKpWMpU3Go9ptVopiw7i/vFD+roti43Ib36FUEk3sYkJIpEI52M23Pv/mspID3LdrYi2Rnzx+IbziXcT65G8vdAVFnADFuStbvxI3xodjUbp7+8nmUzS0dGxrm9gq9W65ZD69SKZTDI4OEggEKC9vT2jU1oLat1x5JqjqKqKXNaBMPo0I+6DRNIC1gVBT+Oy2+2UlJQgCvpQLJlMMjk5xcTEBHa73eSrvR4PLrdevJxOJ0VLF1c44orDRCqP0PvKJ/DNrfDGmdBQZWkl2U2VUUUrC833EK44hJpaY1WT2tmnWezE6m5LKTbS3ISaCoIlNcDTF6waEAVxVQiQKAq43G4qo/10Xv1LRCXJYYuNSw0fZ8ZRTiDgZ3h4GEVR2CtMcmhhkmjvAvbWl+JyufRh5+Q5hLGfI9ffplvcz37c7IITNSeQJSnFxQuoe46YHbP99N9ndMCuuWdJVqd9gW0iHnMVdzx5Gm/9CSoTIzQtPovnll9DOfK/iMfjhEIhQqEQU1NTJBIJbDabuenD4KWvt/sV1lZYBIPBF/y2ELgBC/JWYHTIiUSCwcFBgsEgbW1tGbvF1oLh1NsK1jKoKIrC6Ogo09PTtLS00NXVte4vIqObMzo6QRCg/iSD9i6iidWxnQYsooCiavj9fiYmJigtLeHw4cPmMSqKQjQaTX24/fgWL3F8+H164RRtXLz9E0j1txGuOkK4KgdNAQiKTlWEKw7R87LPUDR/jmDlcULlh1iYX2B2Zpqq6gP0vPJzFM+fMws96A5C0vIoVGCh5T6zmJvnL+bvsnyzZ9IoFZky/yVGSxsIhcI0NzdTr4yy/yePIahJtL5/5Mrx9zNnb6YsOsih83+JoErYrXZiv/NVEm94CnH8aeT6WxFqjmExFSsrnbSmaWi1mfRBuOLIqtd9ozK1XF21OPUsjT/8Y928cu1Jor/9VVy1x3C5XFRVVZn3NfKJQ6EQi4uLRKNRPcUvbSWT1+td1a3u9MbnF0MWMtyABXkrHbIgCCwsLLC4uMjevXvp7u7e1Obp7VrjlP3B1DRNT4kbGaG2ttZcP7UeGIVY0zSTjzPObSEUK1iMBQRCqQBxu91OZ2fHqgGK1WrHV2ynqLgYTVWpSfwQi6aH3auqhHX4J1wIFiMIAm6Xy6QB3C43okVXT6jqyhdZuOKQ/i8cZuzqVTweD51d3dhsVmJilb6VRDB+9zA9dz5Bw7nH8KZka6Km4YhMZByjaLHmUE2vIFx9coVSEaxcCpehFMns37cP0SJS1f9NvRPXVFBlOh3ztN76u4g/fwZBk1LGkCTTTz/FePNv4y16FUUUUTbwU3yLF9GabketO55Bc6i1xwnd92WsE88g19/KUrSYYlVFSSk5NtOd5qJFHE8/jmBI+ApEeuayv6cvOJ2eniYcDqNpmrmSyefz4XQ6X5C26ecbbriCvBkoisLY2Bjj4+NYrdYMidhGsR0dslGQbbaVXWwLCwv09/dTWlq6rozn9CGIpmlmR5b9IU9ICrP+WN7HSSaTTE5MEovHaWpqxOPxrPodQVzZwaEhgCgSSitummjDuu/XuKXyltRQLYp98gxFfWcYtbez4O7AabPg9rjxeLy4XS5T3y3JEs0tLXjcblNRrKq69A3RgqHHi1YcZOzI/6brx28xN5MUz57Gt3Cenpd9hmjlkdx5xcY5CBCqOMRzL/0UDPyAGe9+Svfdhc1qAQEsgoi78xXw3KdX0vcaUul7zXfA6b8zKYq6299A1Z4jhEIhpOGfU/qDP9aL/NNWek99CKHxlJn3a7fboeUlRKoO0dfXh8WiUFZWZhZsM2hK07BYLCspgmu8P42u2hwwGgFHiBse5OVacKqqKrFYjFAoxNLSEoFAgHA4zMWLF80u2ijU28FL3+SQX6DYyIufrSU+fvw4V69e3RJntl2LTo1LW8PqbLPZOHTo0Kr4wVwwP1689wAAIABJREFUhk3G/6bTE+l/H03TGF8KZ1kndKiqyvT0NP7lJWpq62kuLSXXn1ZA0Gd4QuZPw5VHdZ3xzGlC1adMvli0iOyJ9dN5/u2ISpL9Fju9L/8sM469RKJR5ufnCQQCSJKE1+ulpKQERZaQZCmjQ9LQQFUQRb1gKrJiUh11Vz5N8ezpjKFepKrwJb9r9jzC4P8wJLbgPPT/UZYqPgKgKhLVpV4sRSdNKkJteAlqajedWnd81c8tQElJCdbEIGLqSkHUFBrUUWast5vSSVmW0TQNWZZpaGigtrbWTNozXjfjNUwfHgoTZ/WuuuFW1Nrjebtpk09OJdnFa0+hvuydW9YdG8Hwxhd0NBplcHCQ9vZ2QqEQ4XCYmZkZ4vE4Vqs1g+4otDcvH9bTIe/du3dL5/R8wA1XkNeDbC3xyZMnsdlsKIpyXRadZsNisZhv8Hg8vu6BogFjjZPRUWQXYgMLoRjxZOaxahosLi4wNTVNVVUF3fv2F/7wCGLuMAsBwpVH9LyLrHq/Sv42d4Zg1wESiQSRSIQ9e/ZQVVlJIpkkGomwtLRMZHwCRVV1eZpbl+C5PR5sVg3RYkujLw4xuf+P8C2cN4eCoepT5Pw2Mc556Gd0nXkYUZPpstjpbd1LmBQ3DXjdLsqL9C9Cte64WYjTkffnDS+BND7X1vYKc6uFEfBUUVGB1+slEolw+fJl0wLs8/koKipa3WlOnMH19TfqKoqzugVbrjlqNgLG6y0IQtbGaSvBo3+Me4ds01arFafTidPpNFeQAUiSZPLSxtYPY8deeqEuVHBvUhY3KAwtsdfrXaUl3kyWcDa22iHLskwoFMLv99PZ2WlandcDo4Py+XycO3cOr9dLUVGR+aFOf0PHkjJzgTiiIKBo+sV8KBRmfHwMt9tNd3cXdps9Z/dsQBRE1AKHppsfVARBXz9qUAaZtmkrc74D9PT04HA46OrqwmbTj9NtdeFxu6morEidn57JEYnom4unpqdRNHC4vXhdDpw2Kx6vN2MoGKo6mVvrDMRiccZGRzkw9zOT79aUBOXD3zSHhaIgUFeWX+a4FnJ1z/F4nL6+PjRN48QeDefs91A9L0FtT62j0jQSiQTBYNBUQMRiMex2Oz6fj4aR/8aVJqtzzp4j2XRrxsDWHB5WHkS578vYJp9hWKvHV32Yta+xNo5CLj2bzUZpaWmGRdzY9BEOh5mdnWVwcBBFUTJ4aa/Xa14tKIpSUMp5IwQLwQ1YkPMVr2AwSF9fH1arlVtuuSU3F7oNXNdmH0NVVcbHx00pWUdHx7rVHdkDu/b2dtra2ohEIgSDQWZmZujv79dXKXk8+Hw+FpMiVrs+iEnG44yPj6NqGi0te3G5nGs6HgVBoOBXl2b+H7TUiiQBC1qqc+698wk8k0/Tq9QxGfTR3NSI25NZKrLzMgQBXC4nLpcTKtALvdWhKwMiEaLhMLNDQySTSRx2J27vr+KzFuNOJLDbHWaTrMv0JgmFgjQ1NWKv+DW06X9JqTQ0Koa+wWLL6whXHKa62I3durVhldE9q6rK2MgIMzMztLW1UZUYwfHVN5p64cQbnkKt0+kHo9PMVkCEQiGCwYOUCDYETUITLAwptYhTUxQVFeH1es3Zg/GeUOqOM2qpZ3J8nAM2G8lkMoOLXi8vXQgbtU0bmz7SpWqaphGNRgmHwywvLzM+Pk4ymTQ3TpeWlprLTbM/ZzeNIS8QbEZLvJvQNI3Z2VmGhoaoqqri1KlTDA8Pr7tTzzewEwTBHBwZl8jGNt/ByXmm5xcJh8Mkk0k0TaOsrIzq8nLsdpvOC6taBhWxEqd5gnD5YX2BXoEhmYiWUUw1DdAURIuIomoMSNXMKiepr6uju6xsNaOgpfIy8j2FBoLNDoKIw+HE4XBSXlYOjQ1oUoJEPE40FicSjTI3P08ikcRms2GxiITDEaqqKtm/b79OrXgPM9/yG1QNPpXKyVDwzZ5FrTtBuW970sOWl5fp6+ujsrKSEydOYLFYEJ/5p8ydieNP56Q9DNjtdl1rXv7rSDU1iONPI9WewufrMOmAcDgMYHaZNpuNyclJvF4vJ0+eNIumKbvLMrVomqa7DY0I0HUW6e3IsTBoDI/HQ3V1NaC/v5PJJD09PUiSxODgILFYLMMiPjIysuks5EL4sz/7M/7jP/4Du91Oa2srTz755I534TdcQTa+OdO1xBs1TawnxGQ7YHxIs63Y66E9cumJ1zpmURSx2F1Y3EW4XHGCwRD19fUp/jLK4tIS4xPjqIqKw+lKcXweqmL9dP74LakMCjt9dz5BKA8NAKlBmJbjC0XQKaOJiQlKinzcsn8/oiX3B14QhMJ0ic0GQq4CICLYnDgFEYfbg/ERjUajjIyMoGkCFRUVRKNRLj13CavVhsfjRi57GRXD/46oyaiijXD1SepKV19FbRSJRIL+/n4kSeLAgQMZQ9lsftlUbawDRtctAKWQUYxUVSUYDDI8PEwwGMRut+P3+7l27VoGL20odXIND9O/5CGTl85VpHcqWEgQBBwOB1ar1XyvwopFfHZ2lk984hNcunSJ173udRw4cIDf+I3f2JaEtrvuuov3v//9WK1W3vGOd/D+97+fD3zgA1t+3EK44Qqypmn09/czPz+/KS2xUQwLDRDWexz5ntewOmualtOKXXBz9CYKsQFFUbk8NMHQyCglJSXs37/P/BC53W4qKytAkdAUmZisEYlEWVpaonT4eykNq4qgJLGN/RS59EDuv5EG5CAzYrE4Y2OjWK1WOlqbsVn1Dcu5UCjaUz9nEURb3tsBVFXXcUuyysTkBNFolKamJpOqMhzesiwTiUSYi3Tw/Y6/oWz5AnO+W3BqlVjnZigqKtqUKkDTNCYmJpiYmKC1tTXnLCAXv7wdWF5epr+/n5qaGg4dOmTueYxEIqbhQ88qSeJyucwrqezhYbqyI7uThswivdvh9FarlZKSEkpKSvinf/on7rjjDp5++ml6enq2LUvm1a9+tfnft956K1/72tcK/Pb24IYryIIgUFpaSmtr66Y4MUMlsZWCnK+oJ5NJBgYGCAaDdHR0ZIjvc90/HVspxADhcJhfnL9CVBHo6Fht7AA9R0JJxkEQcFlE3BXlVFZW4PLejTb/dVRF0hd92tsZ7+1DVZVUKI/HNHrYrRYzthP0D9Lk5CSRSISGhkaKvG6UZDw17NMQss0a66UqCtAlqPr26pmZGWZnZ6mpq6epqTmDFjHqvdVqXdHY1t6Dxj3UWQQqnLrkcHR0lHA4jCiK5pA0n1vNQCAQoLe3l7KysgyaIOeh5lFnbAbJZJK+vj5kWebQoUO4XC7ztnS3XU1NTepvoJn26WAwyOTkJPF4HLvdbp6nz+fLiPXMMLWkddQGZSDLcsFOerMo9Jk0Zh0Oh4PDhw/n/J2t4oknnuANb3jDjjx2Om64ggxQWVm5qyH1uR4jvSArisJIapiznq49PaCokMNuPTCom6VAGF/FHmryBSNpGmoyZsrDNE1FS0Sw2F2EKw7T+8p/oGjuHMHqk/gqj7AvdZ9YLEYkGsXv9zM1MYEsy6ki7UaSJAKBADU1tTQ2NiEIGmoynvaUumtMFK36MlO2QlUYD6oS9C8zNjqGx+NhX3c3Fqs1sxiTv5wLCDRVFuOwWVa51Yzch4mJiVVcbVFREU6nk6GhIWKxGPv37885ON4JGHr68fFxWltbMwaBhWBkL2fbpxOJhHmuc3NzZqynUaCNqwabzUYoFOLatWuUlpZSVVWVkee9WVNLLqiqumYHvhmacT0LTh955BGsVitvfOMbN/z4G8UNWZC3kolss9mQpPw24vUgffO0YTzZiNXZ6JALOezWguE+nJ2dpam5GUtJDZKSf1CoKVLOv5mSjCHaHEQqjxDONlcIeiiPy+2moqIcVBVN012Fk5MTWK1WrFYr09PTLC8v43FacTuduN3uFReiBqoiY7FYwSJmdNfZEAShIFUhSUlGB/tIJhM0t7TgdhsdooYmS4hWa2pPX/7nqCxy4bCt/uBbLBbzEtmAqqqEw2GCwSADAwMEAgEziGlhYYFEImEO1nYK4XCYnp4efD4fJ06c2DLVBiuxnukqn3QtsXHVYARx1dXVUVFRgdVqNYvmqsyObRge5iu4W7miXWvB6ec//3m+9a1v8YMf/GBX5ko3ZEHeCrbL+ry4uMilS5coLS01jSfrhSiKRCIRotEodrt9Q12xodoYHh6mpqaGkydPMhOIIYXjee8jaCqqnD8yVE0msIg2KNCgCJpGPJFgdHQMgK6uLnNIqWmQiEUILi/q+uGpqbRO2mNqTx3e4oyAoMwTA8HmIFdvq2oqc7NzzM9MUFNdTWku1YagHyOilgpZXv0UTruVyqL1qyoMydj09DRFRUVm2JLB1RrmI0Nfm04DbDVMXVEUc4djV1fXjiedpWuJl5aW6Ovro6mpiZKSEjPjwoiANaSVRjeda3iYbQ3PxUunF+lCDVYgENiR8//e977HBz/4QX784x+vyyG7HbghC/JWvsmMzdObRTAYZHFxkXg8vm6rswHjTerxeHA4HFy+fBlJkswPs/EvX3H3+/309/fj8/k4duwYdrudcFxiqUAx1qmKArcDot2BJmCuUcqGqshMTkwSCPhpNHKR0yAIGg6rmNFxGfxlNBolGAwytxRA0qZwOuy47JaUG89rmkTyURWBYIDxsXFKS4ro7uzMq9oAAUUQEDQ9btMww6zcKlBf6ln3e0eWZQYHBwmFQnR1deHz+czbjGJUW1trnqtxnouLiwwPD5uva3rhMkwQa2FhYYGBgQFqa2s5ceLErmUYS5JEX18fyWSSw4cPm1+42VcNxrkuLCyY52oMD40vpfTs5ULDw/TheL4ExJ1y6T344IMkEgnuuusuQB/sffrTn97250nHDVmQt4LNcsiG+yqRSFBeXs6ePXvWXYyzB3Y2m42Ojg7ztlgsturD7PF4Mgq0kde7b98+k7tUVJXJpXDB5xZUKbdEzbhdtIDFZh4LmpIKE9JlCvMLC0xPTlJdXcW+fftzr3zKQYdk8Jd7asCmhwcl4gnC4RDhkJ/p6RkkScLpdOItKcfr9eHxerBZbSSSCcbGxlBVlba2VhwWrWAXJVosplNQ1TRdRq2t8NUVRU6c9rU/DsawcGRkhKamJjo6OtYsiOn62vSBmhHO4/f7GR8fJ5FI6DnSqaJlFOl0KWdvby+apmUUxJ2GETUwNDRES0sL1dXVec/ZGH6mK4fSzzUQCJjn6nA4Mr6Q0g0fRnGOx+MMDAxQXFyMoigZw27jCmWnTCEDAwPb/phr4YYsyNsZUr8WJElieHg4Y6vz8PDwuor6egZ2giDgdrtxu93s2bPHvF80GjXlTZFIxJyMz8/Pk0gkKCoqYjYYL8gbC5qKIhXebqLTBFnHneqCRkbH8Xpc7NvXnZfDEzRVX9CZ9wkENJsz5eRbcahRUQGqjCIlkFWBcCxOMBRkemaaaDSKpmqUlJRQVVWFqCloWgGTSo5Qet2ooiGKAnarhaoiV+47pyEcDtPb24vb7eb48eNb4obTX9d0E4Rhmc5WPYCupW5paaGurm7XuuJ4PE5PTw82m8286toocp0rkGEPn52dNQ0fhuMwmUwyPT2tuxqrqlZ10sZ/f+c732FycnI7T/u6Qdjg8GtnU6i3CVsJCZqbmzM3cBRCutW5sbGRuro683JqdHQUi8VCfX193vtnD+w28gFTVZWpqSlzo7ThxDOs0sFgkEV/gLGlOC6XM7UTz4PH416ZVGugJiMZ65ayIdocZndsIJlMMj4+jizLNDc24nC6CijQNLRkvGDnanF6Cg7qhFQ2sSAILPuXmZiYoKy0lLLycqLRKNFwiODyIpIk4bDb8Xg95vna7TZAQBCteY9RQKClugh3ge5YURSGhoZYXl6ms7NzV92eoVCIq1evmny7MVuw2WwZnXT2xumtwtBRT05ObthYtRVIksTS0hJDQ0Omttlw5aUrPKxWK3Nzc7z97W9HFEX+7//9v3R3d+/KMW4S63pxbhbkLCwtLTE7O5v3xTWGZoODg1RXV9Pc3LyqO5ycnESSJJqbm3Pefyt64oWFBTOlLtdzp2M5HGdgaoFQKJz6IEdQVQ2324XHYcXlsON2u3PKiUSLFWwrl8RGHOfS0jL19fWUlpagSYlUnoSVXO83TU6iKflfB4vNDrYCtI6moCSiJJNJRqfmsFptNDQ24LAbXbuGJsV1iZ4GyVRaXDh1rsmkhNPlwuP1mYtaszu8Cp+LPSW5j0HT9JVRg4OD1NfXU19fv2udqaIo5nqubI4a0nMt9A4zXZpmFOrNGFpgRblRVFREa2vrjho+0qFpGtPT04yOjtLe3m7OHIyAfONcv/CFL/Dd736XUCjEa1/7Wn7v936P2267bdconE3ixVuQVVXdtHQtGAwyOjrKgQMHVt1mWJ29Xi9tbW15hzAzMzNEIhFaW1vNn22HsaO/vx+r1UpbW1uG6L8QYkmZsYWQSV2oqkY8GiawOEckEiEWjaJqqe0PHg8erxe324XV5QNBRNNgeXmJyckpKioqqK6u1nliRUZTU3yeICBabRm0gGkyyQdBQHT5EMhfMJR4mInxMQKBAI1NTZRUVGcO9lSpoDpEEEQSkpxa0hohEgmTTEo4HHY8Hg8lRT4O7a3JGaIejUbp7e3FbrfT3t6+qyvm5+fnGRgY2PCXgCRJpn44GAwSiUQQRTGDp/V6vXmLtKqqDA8Ps7i4uCvKjXTE43GuXbuGw+Ggvb09Lx00OzvL2972NtxuN3/4h3/IyMgI58+f5x3veIc5RH2e4mZB3gyMD+KRIytZDelW546OjoJbpwFzDVRnZ+eWC7GxyDQSidDe3r6py2VZURlfDBNJSDpVkYiQ/lKqqkosGiUciRCJRIhLClhs2O0OYrEoLpeL5uZmsygJaKiruGdNL8qCBZ2qiBViQwpSFRoay/OzjA0PUlVdTVVlZaqIaIh2F4g2BJTCBT8PVaGlNmmHwxHK7ArJWMQcMBkFKxAImPTEdgfWFEI8Hqe3txdBEOjs7Fy36qIQDEOL0V2mG1rSZXjGIoTq6moaGxt3bbFpuqmlo6MjLzWiqipf+9rX+MhHPsJ73/te7r333l27WtkmrOtgbw71spCusliv1TkbhpY53Vq60UJsrDCamZnZ8CLTVedkEWmu9DHjj7LoD5D9vSqKIh6vF4/Xi2ixIGFjfHyMaDRKaWkZsqzLnQxlhNthS+3Dc6V9cAVUWUa0aCaFkA8Wmz1vMY7GooyODGPVZLq7u7M6JQE1GcdiU1ALDCvBUFWshiDoqWkdTcUmVWEM0yYmJsztLIIgmN1izpD4bYSmaYyPjzM1NbXhpbprIZehxaAAQqEQk5OTLCwsoCj66ihRFAkEAqvys3cCsViMa9eu4Xa7C5paZmZm+NM//VOKior40Y9+tGt89vXADdkhG5F9m4GqqjzzzDNUV1ebVuc9e/Zs6IMYDAa5cuUKra2tFBcXb+iNbUiMhoeH2bNnDw0NDdvK4S0Fw0zNLeUM71FVlXl/mPmFRerr6ygtzTRYqKpKJBQgHAwSTtEdgiiaGzw8Xg8etwdBENFUOfcwLw9VoWdeTBCORGjcU4nHnZ+SEW0OEC06XZFDsieKYqpTzw271UJbdbEp0UvvTDs6OnA6natC4oPBIPF43Oyk0+3SWynSwWCQnp4eysrKaGlp2TW+FlaokcbGRvbs2WPqhw3aI9vQUkgDvxGkDwwLXYWoqsq//Mu/8NGPfpRHHnmEX//1X3+hdcXpePFSFpstyMbl09WrV+no6NjwpVu6+2hmZsZ8cxtbPNK3d+QTuBscdWtr647xltF4gtHpeSR5RdPp9/uZnJ2jrKKampqanMenO/oyqSBZUYimqI5IJEwsnsRiseB2u/G49EyL9KKVTVVoaCwsLDA9PU1NTQ0VpcVoUn7ZoSBaEOwuUiGfICVRtcwgJsFSuGi0VBXhcdhQVZXR0VFmZ2fXrSRIl6WlF+n013c9RTrbWLIWDbadMPTMQEFqJD0hzngvpxuVsp1460E0GuXq1atrDgynp6f5kz/5E8rKyvjoRz+67qvT5zFevAUZ2JCWGFa6hbKyMhYWFrj99tvXfd+1eOL0zAPjjW2kbxUXF+NwOJiamkJRFNrb23flwynJMqPTCywu+xkbHcXucNHQWmh4paGtoVkWRREVfeGovp4nQjQcWFEAFJfiLa3E4/XgdDqJRiKMjI7i9Xioq6vHahVR4pEC71wN0eHJcuxpCIqEouhfFKLFWnC7dJnXSW2px1zlVVVVRVNT05Y40/QiHQqFzHVL6V/A6aYHw1Ld2NhIbW3trnV96SoGQzO/mceIRqMZw0NjB2D6+aYbWoz7jY2NMTMzQ1dXV95ZiKqqfOUrX+HjH/84jz76KHffffcLuStOx4u7IBubMNZCMBg0p+kdHR24XC6efvppXvKStcPCt5ZNrOD3+xkZGSEUCmG1Ws3LYePfdmtL02FsXxgcm6Kksori8j0FF4GiymgFQvNFUUDN854TNI1kMkFctRBJfZjDoRCaBqWlJRQXl+DxenCIKhTYlKLrovN8YWgSyHo8aD7YLCKNpS4GBvpRFIXOzs51q1U2imy6IxaLmaYjh8NBR0cHRUVFu1ZsotEoPT09uN1u2tratpUfzo7xDAaDGYNSm83G9PQ05eXlBWNxp6ameOtb30p1dTUf+chHdnWgugu4WZALnVssFqO/v59EIrFqtdMvfvELTp06lfeNk+4S2szALn2ybKx+F0URWZYzLoej0aiZ17uRy+H1PndTUxM1NTUsh+NM+2N5Yy9zURWrfynP9ukULKIFVbQzNz/H7NwcdbW1+IqKVtQdwWWiwQA2m83MV/amMj0EQUAQRQS7m0JByZqcAHIfh6pq2KUg/oU5MzB+t2CYiCYnJ023paEdNhaXGq9vrn1xW31uI/Wvs7Nz1xaBGkV6cHCQpaUl3G49jjX9fNMHpV/+8pf5xCc+wWOPPcZrXvOaG6UrTseLuyBLkpRzL50kSQwNDbG4uGiKz7Nf/LNnz3Lo0KGcl+9bcdiBvvrdoEZaWlrW7FSSyaRZoAOBQMZgySjU65VHGZfpuUwlkYTE+GIYeZV6QUOTkwVfeYOqyHu7IOAPBBmfGKekvIraunosYjrtoJpUhSRJprkjEgmTiCew2az4yqrw+IrwejzYHQ6E7Pe3kkRVJEBI0RYrCIXCLM9O0NFQveuDMyOs3vibZz+38fpmd9Lpl/+bvVIyBobl5eW0tLTsmpQNMHOSKyoqaG5uNp873dAyMzPDAw88gCzL+Hw+HnzwQe688841XbIvUNwsyOkF2egUJicnaWpqMrvSXDh//jydnZ0Z4UDbZeywWCy0t7dv6VI5Ho9ndNKJRAKXy5XRSadPw2OxGH19fQC0t7fnDT2SFJWxhRCx5Iq7TlBl1E1SFaB/AMdGx1AUhabmJpxOJxabA01Y+TLQpGhBOkTWBCIJiUg4VaSTSew2wybtwet2YUFdYVw0nUtOygrj42OossQrTx6kyLd7gzODEopEInR1dW0orD69aBlXSjabLaOTLlSk011+3d3duzowTDeX7Nu3L+9zq6rKF7/4RT71qU/xl3/5l1RUVHD+/Hl8Ph8PPPDArh3vLuJmQTYohbWsztl47rnnaGpqoqioaFuMHUNDQ4RCIdrb23fkkjE9Ec74J8syLpcLWZaJx+N0dHSs6zJdVTWm/BH8kQSCphV0wgF5qQpV1VPRlhYXqUtZrdMhWm0g2kFNoiYLqSpyUxWJpG6TjoTDhJYXSCaTZpaF2+0hHouxtLxMXUMjh9sbKXJv3WSxHqQnoxmU0HZcfueySlut1lVF2rgKqqur21WrN+gd+bVr19Y0l0xMTPDQQw/R3NzMBz/4wefdJvgdwou7IMuyzMLCwrqsztm4du0aVVVVlJSUbLoQGx359PT0mpGF2w1N05iammJkZITi4mIsFospvzOUHYYrLd/l+2IoxvTCckGDhx7DuRp6nOQEFeVlVO+pyR3JCYiiBUVOrqYfVs4kh6oiC2oSVZZ0B14yycLiIjMzMwiCgEUUqSwtorWu0qR4dtICHYvF6Onp2TW7tSRJZoH2+/34/X40TaOqqoqysjIzz2Kn33dG+JLf78+If82Gqqp84Qtf4LOf/Swf/vCHedWrXrVrnwm/38+b3/xmLl++jCAIPPHEE9x222278twpvLgL8sDAAPPz8+uyOqfD2FoNUFtbu+EhWrqxw+gUdpuz7Ovro6ioiL1792ZQF7nkd4DZZRUXF2cE0oRjCcbmllFyuOIEQTD34BlIxBOMjo4iiCJNTY3YbfaCb0MBPY9YULWcA0WLzY5mKfAlqqmoUgzQv4AnJiaIRmM0NzfjdruwiCKN5R4iaeecTCbNYHijs9xq4TS+fGdmZnbdbp2+IWbv3r2UlpZmvMaG5DBdN7ydRdrv99PT00NtbS0NDQ15H3dsbIyHHnqI1tZWPvShD60KS9pp3H///dxxxx28+c1vJplMEo1Gd23AmcKLuyDnG+oVgjGwi0ajTE1NZXyA0/nZfJRHIBCgv78ft9tNa2vrtmQRrBdGkLckSXR0dKybs0zPOggGg4TD4YzUMJfHy0IoTjyZldqWRlWoisrU9BR+v5/GhkaKiovMYpsP2XsPBS0zYH5dqgophqpqLC4uMDWVMpZUVJhcclNlCUWezASwXPTORrayZMPv99Pb20tlZWXG8Go3YATyGJLNfMdshA5lF+lsumOjOxsHBgYIh8N0d3fnnUuoqsqTTz7JP/zDP/CRj3yEO++8c9cVFIFAgMOHDzM0NHQ91Rsv7oK8kQjOQjxx+vod45+iKBmX/jabjaGhIZLJ5IY78q1CURRGR0eZm9s+OVe2/C4cibAckdCstlQubRG2VATm8rKeUVxVVUlVlZ4EJwpCTmt2BnKsfhYx9q6tg6pQkoRDejLCuZizAAAeW0lEQVSfy+Wkvr4+44uyxOOkoXJ9HVC+1zi9SGcvK5Ukif7+fuLxOF1dXbu2c804XsN6vJGMlXQYr3F6Mtx64zuNnXpr8dSjo6M8+OCDdHV18YEPfGBXPxfpuHDhAg888AD79u3j4sWLHDt2jL/927/dta3gKby4C/J6Et82O7AzLv2Xl5eZmpoiGtUT0crKyswP8E5zd+nUSE1NDQ0NDTvanSWTSYYmphmdniccjhKLxZBlGZvdTk1NTYqfta28QwpRFUL+reACIFisUICqUOQk48ODhMNhmpqa8HgzP1gWUaSjrgJr3v16a8OwDacXLaNIG2uDmpubd3V7B+hqnWvXrlFSUsLevXu3lQ6TZTmjkzbiO9ML9NTUFPF4nO7u7rxKIVVV+dznPseTTz7JRz/6UV7+8pdfV13xuXPnuPXWW/n5z3/OqVOneOtb30pRURHvfe97d/MwbhbkfAV5q8oJY2g2NjZGfX09dXV1aJpmaoXTpUpGgTYs0tvxxgyFQvT19eFyuWhra9vVrN7lUIRnLlwlEAhSmzrv9Kxhl9OB2+0xN3cYS0oNiAioBakMEcHmRBBYtZZJQ2NpcYmJkQGqq6qorKrKaS5srCyh2LP9YeWRSIQrV66YO/LC4bA5KE3vpHdiZnC9soqNIj0zM8PMzIzpKE2nO9I76eHhYR566CH279/PY489tttdaE7MzMxw6623MjIyAsBPf/pTHnvsMb797W/v5mG8eOM382GrDjvQL9cGBgYoLS1dtVfNWJNuwBD9BwIBs7NwOp0m1VFcXLyh9CwjDjQWi9HR0bGrg5H05Z5djXUkLc0kU+FEZWX6OQtAPJ7Qh0qBIFNT0yiKYq4f8np1B541X8HSQLDZASH1+mhmUY7FY4yOjGK3aHR1da0q9AaK3c5tL8aqqjIyMsL8/Pwqt5uqqmYnPT09TV9f37YXaWNwtmfPHo4fP76rPLXRfEiSZG7lMIp0KBRidHSUSCTCO9/5TtxuN4ODg7z73e/mTW96067OUArBSE3s7e2ls7OTH/zgB+zbt+96H1ZO3LAdcnbi21YddpFIhP7+fkRR3LSxw7CTpnfSsiybG6SLi4tzfngN660hoauqqtp1fWl6Cp3NZkNVNcYXAgSjqZD4PFSFpulysEgkQjQSJhKJoqgqbpdrZf+d241oEVe0ySv31vnSyUmCgQBNjQ24Hfl7CIso0l5bjs26fR2qsSVmIyFE+dQs2UV6rceSZZn+/n5isdiu89SwErjV3NxcMIJ2aGiIhx9+mLq6Og4dOsTly5dJJBJ85Stf2dXjLYQLFy6YCou9e/fy5JNP7nZWxoubsjAK8vPd2GFc8hsFOhQKoWmaeUmoqiqTk5NUV1fT1NS0qxI6SZIYGBggEonQ2dmZsyOf84eZ9YfXVFWkUxWqqhGPxQiHw+b+OwEBT0k5Hq8Xr8eDy+0mEAjoA8PKCiorqxCUJFqO/GMDDRXFlHi3JywomUzS399PMpmkq6tryyFE6XvhDDULkHHpn75eyUiE205zyXqRTCbNTr9QPKeiKHz2s5/ly1/+Mh/72Mf4lV/5lV07xhcgXtwF2ehCS0pKzCK8UWOHscVhrQ5hu6EoCvPz8wwNDaGqKhaLJSPfoLi4eNtDaNKRHkC0HlNLMJpgYj6AkrdYCnqrnF/Bhma1E4ul6I5QkGAgiCBASWmpXqxsVuwOG0Iek4nP5aC5eusdT3pE5U4begzJYboDD/TO2GazmQ3AblIUs7OzDA0NsXfvXqqrq/P+3sDAAA899BDHjh3jfe97365374qicPz4cerq6vjWt761q8+9Sby4C/KZM2d4+9vfbm7tPXbsGCdOnODQoUMFux1j0/DQ0NB1MXYY4UfBYDCjIzdcWela0s2GDBWC3++nr6+P0tLSdYUfGUgkZUbmlk1eOR2FVBWgB8oLFjuqZmy2XqKxsRGvx6OHDIWCBBdmSSTiWG321BZpfXDocDixiiLtdVunKiKRCD09PXg8HpOa2S0YXO3o6Cg1NTVYLBazkzaUDpvVDK8HyWSSa9euYbFY6OjoyDsoVhSFT33qU/zzP/8zf/d3f8dLX/rSbT2O9eLxxx/n3LlzBIPBmwX5hQRJkrhy5QrPPPMMZ8+e5cKFC4iiyJEjRzh69CgnTpygo6MDi8VCf38/wWAQl8u168aOXLGYa3Vm6SFDgUBgQyaWbCQSCfr7+zdsLEmHoqqMzwcIxVayKdZWVQhgdREMBhgbH6esrEzfWCIYBUdDjYfNDdeyLBOLxQmlNknHEwnqyn3UV1dkRJRuBOkKhs7Ozl3PVohGo1y7dg2Px5MzqziXHC3b2LFZmWX6sHat0Pq+vj4efvhhTp48yXvf+94dy5JeCxMTE9x///28613v4vHHH79ZkF/I0DSNcDjMs88+axbpK1euIMsyXq+Xd7zjHZw6dWpXsycKxWJuBOsxsWQPk9IHhq2trTnjSDeKmeUQ84EIa1IVgKyJjI5PoGkaTY2NOBxZxVSO59wuLVpENCx4XQ5qS90Zg1Ij/S69q8zX8Rkmh93QcmfDWCE1Nze34azibPddJBLJoLXWs+AgHo/T09ODzWYr6PSTZZlPfvKTPPXUU3z84x9f1/KGncRv/dZv8ed//ueEQiE+/OEP3yzINxJ+8pOf8La3vY2HH34Yn8/H6dOnOXv2LHNzc7S1tXHs2DGOHz/OkSNH8Hq921qk02MxjW0l2430iX8gECAcDiMIAkVFRYiiyPz8PHv27MmZ1bsVBCJxJhcDKGrut4yqaswvLLLgD9JQ35CzGAmaghwL5X0Oq9VCW3019iyqIl3Nks8e7XQ6GRoaQpblHd0ckg9GVnF2XvBWkIvWStfCGwH4gKmj7+joKLhLsKenh4cffpjbb7+dv/mbv9nw1cd241vf+hbf+c53+OQnP8mPfvSjmwV5c8fy/EUikUAUxVXdgaIo9Pb2cvr0aU6fPs358+eRJImDBw+aRXrfvn2b4hllWWZkZMQMyd/tBY6G20uWZZxOJ4lEImMzyXaZWOJJidE5/ypeORgMMTY+RmllDbW1tVlh9QYyqYpcqKsspbx4fXZc4+ohEAgwPT2N3+/H4XBQXFyccfWw0/MCI6s4GAzS3d2948aJ7GzlcDiMJEk4nU4aGxspLS3NGaAlyzJ///d/z7/927/xiU98glOnTu3oca4Xf/7nf84Xv/hFrFar+aX7+te/ni996UvX+9DWws2CvN2IRqOcP3+eM2fOcObMGa5evYrP5zML9IkTJ6ivry+4+smY4Dc0NOy67dbIvZifn6etrS2jM0o3sRjblLdiYjEgKypj834i8SSSJDM+NoYkSbS0d+J0FShGcgIlGct7s9flYG9d1YaOJRwO09PTg8/nM3e7GaYO4+ohXXKYLUXbKhYXF69bVnF6/oWxNcUo0rFYDIfDgcVi4dKlS9TW1vLoo4/y8pe/nL/+67++7l1xPtzskF/kBTkbmqaxuLjImTNnOH36NGfOnGF8fJzGxkZOnDjBsWPHOHbsGCUlJZw7dw5N0yguLl4Vi7kbx2koR9bLlW7WxJILqqryy6v99A7pVvPyykqEgrGaCkoBqkIUBdob9uDI49bLhqIoDA8Ps7S0tKbtOF0vbBTpbJXDRgdohq5XlmW6urp2vcAZQ0MjFzzXa5ZIJBgaGuI973kPFy9exOFw0N7ezu/+7u/ypje9aVePd724WZBvFuQ1oaoqQ0NDJtXx85//nMnJSSoqKrj//vs5efIkBw8e3DUFRyQSoa+vz9S1buV51zKxZOcpw8pOudLSUkqrapgLxFAthegQDS0RQVXyJ/XVVpRQUbI+27jRla6V11sI6SqHQCBgbuvI5mazHztdwbB3795dd1hqmmZq6bu6ugoODa9evcpDDz3EK1/5St797ndjt9uZnJwkFArR3d29a8d8A+NmQb7eGBwc5Hd+53d497vfTV1dnVmkn3vuOex2O0eOHOH48eMcP36ctra2bZ3wy7LM8PAwy8vLdHR07FgYt9FRGkXayFP2er1Eo1EURaG7u9t0+cWSMuPLcSQlz1tpDarC43TQWr82VZFIJDLcZtvdleYaoNntdpPisdvtDA0N4XQ6aW9v39UrItC/iK9du2ZekeW7kpEkiY997GN8+9vf5pOf/CTHjx/fleMbHx/n937v95idnUUQBB544AHe+ta37spzXyfcLMjXG5qmma6r7J8Hg0HOnj1rUh2Dg4PU1NSYfPTx48eprKzccEeV3pVdD57a4CqN9VGqqpocpdFFu70+5iIq0WTWwG4dVEVbfTVOe/7ilq7nXktXu91IJBKm3dvv92O32zMonu3YTrIWjO0ls7OzdHV1FdRUX758mYcffphXv/rVvOtd79pV3f309DTT09McPXqUUCjEsWPH+MY3vvG8Df3ZBtwsyC8kGIXsmWeeMYeGS0tLdHR0mAX68OHDBbWloVCI3t5e02Cw212Z8fw+n28VT55tYkkkEsQEJ4rNjTeVXyHK8YJURU1FCZUFqIpQKERPT4/ZFW5Wz71ZZGcVi6K4Sn6Xbd7JDr7f6vNfvXqV8vJyWlpa8l5xSZLE448/zve+9z0+9alPcfTo0W15/q3g3nvv5cEHH+Suu+663oeyU7hZkF/okGWZa9eumQaW8+fPo2kahw4dMot0Z2cnS0tLXLlyBZ/PlzcEaKeP05BydXV1rev5DRna+NwSQzN+woElpFgEt1sv0B6PJ2N45nbaaa3LzcGmL9lc7/NvJ9KHhun0TC4UMu9sNq7TiAddWFhY8/mfe+45Hn74YV7zmtfwF3/xF7uapZ0PIyMj/Mqv/AqXL1/etZzn64CbBflGgzFUe/bZZ01lxzPPPIOiKNx999288pWv5MSJE9TW1u4KTZG+YLOxsXHTzxtJyIxOzyFJMtGobokOh8NEo1EEQcDr9XJLWyOV5WWrFA7z8/MMDg5eFykZ6PGcvb291NTU0NjYuKnnT89UTh+WZm8Iz9XxGgaTysrKgvGgyWSSD3/4w3z/+9/n05/+NIcPH97wce4EwuEwL3vZy3jXu97F61//+ut9ODuJmwX5Rscf/MEfUF5ezh/90R9x5coV02Vo5CYbgUpHjhyhqKhoW4tVJBKht7cXp9O5LVtLJFlhdGaBaDyZ8XNVVXHbBByilqFw8Hg8hEIhbDYb3d3duy4lM6JJY7FYwXVGm4WqqqsMHYIg4PP5KC4uxuv1Mjs7i9/vp7u7u+C+uosXL/LWt76Ve+65h3e+853Pi64Y9L/hPffcw6/+6q/ytre97Xofzk7jZkG+0SFJUk7+UVVV+vv7TT76l7/8JfF4nFtuucUs0vv379/UBzP98ny7g3g0TWNibpnlUMT8mcthp61+harQNI2RkREmJycpLi5GluVtM7GsF0ZW8W7Hshryu7m5OaamprBYLBmZHdmxrIlEgg996EP88Ic/5DOf+QwHDx7cleNcDzRN4/7776esrIyPfexj1/twdgM3C/JNrCCRSHDhwgWTj758+TJut5ujR4+afPRamQpzc3MMDQ3tOD2w4A8xvRgAoK2+CpdD/+IwhnbZCz6308RSCIlEgp6eHkRRpLOzc9c7zVy261zyuy984Qskk0nOnTvHfffdxyOPPPK86YoN/OxnP+OOO+7gwIED5nvu0Ucf5bWvfe11PrIdw82CbOCpp57iPe95D9euXePMmTOm1nJkZITu7m46OzsBuPXWW/n0pz99PQ9116BpGsvLy5w9e9Ys0iMjI9TX15sF+tixY5SVldHb+/+3d+9BUdf/HsefX5ZLkdpREcLFWEAuiQUhnNHJvKSNM2UZQ4k5+qvhpzJajdahI1MDhykRKy2nsTkZXexiMY1pDE1DaKNRTi4SqcNFWELktggeHF25u3zPH7TfWBVYlr3A8nnMOOMu4/f72VHf+/l+Lq9PJdeuXcPb23vUm0ssdb2ji86eXmb8x2Rl0tBgMBAREWHRcfLWbGIZ6lqmpXShoaH4+PjY4iOOiGmsergvw+7ubt544w3+/PNP7rvvPurq6qivr6ewsNBua9EFi4iCbFJRUYGbmxvJycns3r3brCCvXLmS0tJSJ7dwbDDFQZo2sGi1Wi5evIinpyfPPfccixcv5oEHHnBoMpppeMAWa6oH28Qy1EksptB603mCjl5Kd+PGDaqrq+no6Bh2rLqkpIRt27aRkJBASkqKMmxjOkdScCpx6rSJ2PppGTc3N4KCgggKCiIhIYFFixaxdetWFi9eTElJCV988QXnzp1DpVKZBfyHhobaPCWtq6uLyspK3NzciImJsUmvXKVSKeluJgMf+VtaWpSTWCZPnkx3dzcGg4E5c+Y4PLQe/slqDggIIDw8fNCi2tXVRVZWFr///juff/45kZGRZj+3dzHOz89n69atGI1GNmzYQGpqql3v58omRA/ZZMmSJbf0kCMjIwkLC2PKlCns2LGDhx9+2MmtHDs6OjpuOStNlmUMBoNZwL9Op2PGjBlmqXfWBvwPDMwPDQ0dMqvXXlpbW5UVJJIkKZs5Bu64s2dPube3F51OR3d397ArSIqLi3n55ZdJTEzklVdecXgP3mg0EhYWxtGjRwkICCAuLo5vvvnGlXfcWWti9ZCXL19Oc3PzLe9nZmayatWq2/4Zf39/6urqmD59On/88QdPPfUUZWVlrrw4fURud3ClKdx+6dKlLF26FPjnPLiioiJOnTrF/v37aW1tJTQ0VEm8i4mJGTYlzRRENG3aNOLi4hx6liH0F5fq6moMBgMPPvigklU8cDOHad3zcCexWOvy5cvodLphj/Hq6upi586daLVavvrqK6c9BRYVFTF79myCg4MBWLNmDbm5uaIgW8llCvKxY8dG/Ge8vLyUR+F58+YREhJCVVXViAJWBpswBMjKyuKTTz5BpVLx/vvvs2LFihG3cTyQJAm1Wk18fDzx8fFAf3E7f/48Wq2W77//nvT0dIxG4y0B/+7u7rS1tdHY2EhPTw9z5syxaNLO1i5fvkx1dTUBAQGEhYWZFUJJkpSdg/7+/oD5SSwNDQ1mJ7FYE9PZ29tLZWUlRqNx2CEa0wG+zz77LMePH3d4r3igxsZGZs2apbwOCAhAq9U6rT3jncsUZGu0trYybdo0VCoVNTU16HQ65ZveUnPnzuXw4cMkJyebvV9eXk5OTg5lZWU0NTWxfPlyqqqqHN7rcxaVSkVkZCSRkZEkJSUB/UMgJSUlFBUVsXfvXsrLy7lx4wbt7e1s2bKFVatWOfw4eVNWsdFoJDo62uINJgMzkgMCAoD+LyHTeHRNTY2yiWW4k1hME5dBQUFDDvV0dnayY8cOSkpKOHjwIBEREaP78MKYMyEK8pEjR3jppZdobW3l8ccfJzo6mp9++onCwkLS09Px8PDAzc2NDz/8cMTHKQ32qJibm8uaNWvw8vIiKCiI2bNnU1RUxIIFC2zxkcYlb29vFi5cyMKFC5FlmcTERFQqFStXrqSyspJt27bR0NBAYGCg2dK7u+++2+YTUzdnFfv5+Y36miqVqj/3eepU5b2BJ7E0NTWZbWLx9vamubkZlUrFvHnzhlwrfOrUKVJSUli3bh27d+8eM1/sarWa+vp65XVDQwNqtdqJLRrfJkRBHvgoPVBCQgIJCQl2uWdjYyPz589XXgcEBNDY2GiXe41HkiTx7rvvKr1Lk76+Pv766y+0Wi1Hjx4lKyuLjo4O5syZoxTp+++/f1SrLjo7O6moqOCOO+4gNjbWrrv6PD098fHxUdYuy7JMZ2cn9fX1nD9/Hk9PT9zc3KisrLztJpaOjg7efPNNzpw5Q05ODmFhYXZrqzXi4uLQ6XRcuHABtVpNTk4OX3/9tbObNW5NiII8WtZMGArDu7kYQ/9QQGhoKKGhoaxbtw7o72WePXsWrVZLdnY2paWleHl5mQX8m87IG4osy9TV1aHX6wkPDzfryTpKT08POp0Od3d3HnroITw8PJRNLNeuXUOv11NVVcW+ffuUONNnnnmGgoICh+YVW8rd3Z19+/axYsUKjEYjSUlJtyy7EywnCrIFrJkwtPWjXEZGBtnZ2UrguotvMzXj6elJXFwccXFxvPjii8hyf9CQKeA/LS2NmpoaZs6cqayNjo2NxcfHRxnquHr1KlVVVUydOtUpKzgGHnB7824/U6LdpEmTmDlzJu3t7fj5+XH16lXWr1/PxYsXWbBgAbm5uWYTaGPFY489NmH+LdrbhFqHbE83r3EuKytj7dq1FBUV0dTUxLJly9DpdFYXgoyMDCZNmkRKSootm+0yTL1f0wksp0+f5sqVK4SEhCjjtnv37jUr0o7S1dVFRUUFXl5ehIWFDboqQpZlTp48yfbt20lKSmLLli1jZqxYGLWJtQ7ZWQabMIyMjGT16tXK0q4PPvhA/OeyI0mSCAwMJDAwkNWrVwNw8uRJNm7cSFRUFN7e3iQkJCBJ0i0B//b6ezFlYDQ0NAy7yaW9vZ2MjAzOnz/PoUOHCAkJsUubLPHqq6+Sl5eHp6cnISEhfPbZZyIHw0FED3mcyMjI4MCBA0yZMoXY2Fj27NnjlDHQ8aSsrIxJkyYRGBgI/BM4VFxcrPSiTRtRBu4yHGpDhqU6OzspLy9XjtMaqlf866+/kpqaysaNG9m8ebNND7u1RkFBAY888gju7u5s374dgLfeesupbXIBIlxovBlq8nD+/PnK43ZaWhp6vZ5PP/3UCa10LaZTT0xhSqdPn6a5uZng4GCzgP/JkydbVKRNZyM2NjYOO3F4/fp10tPTqa6uJjs7m6CgIFt+NJs4cuQIhw4d4uDBg85uyngnCrKrEil19tXX10dVVZVZwH9PT88tAf83L5drb2+noqKCKVOmEBISMuhQiCzLFBYWkpqayubNm9m0aZPTe8WDeeKJJ0hMTFRWvAhWEwXZlej1emXb7nvvvYdWqyUnJ2fU1xVJXZbp6uoyC/gvKyvjrrvuIiYmhpiYGEpKSpg1axbr168fMhnOYDCQlpZGbW0tH330ERqNxnEfYgBLlnJmZmZSXFzM4cOHRXzn6ImC7ErWr1/PmTNnkCQJjUbD/v37lQJtLZHUZT1Zlmlra+O7774jMzOTGTNm0N3dfUvA/9SpU5EkCVmWOXHiBK+99hovvPACGzZsGLO9YoADBw6wf/9+fv75Z4dvZ3dRYpWFK/nyyy9tfk2R1GU9SZKYPn06V65c4ciRI8TExNDX10dtbS2nTp3i+PHjvPPOOxgMBsLCwmhpaeHOO+8kLy+Pe++919nNH1J+fj5vv/02v/zyiyjGDiZ6yBPYoUOHyM/P5+OPPwb6i75Wq2Xfvn1Obpnr6O3t5dy5c+Tl5ZGenj6me8Ums2fPpru7W1mmN5GONrMj0UMWBGfz8PBQMqHHi+rqamc3YcISBXkCc0RSl0ajUcJy3N3dKS4utun1BcGVjP3nJ8FuBiZ19fT0kJOTw5NPPmnz+xw/fpwzZ86IYuwEe/bsQZIkLl++7OymCBYQPeQJTCR1ubb6+noKCgrG/CSi8A8xqSfYVVBQkLL0Kzk5mU2bNjm7SRPG008/TVpaGqtWraK4uNgsYU5wODGpJzjfb7/9hlqtpqWlhUcffZSIiAgWLVrk7Ga5vNzcXNRqNVFRUc5uijACoiALdmWaJPT19SU+Pp6ioqJRF+SkpCR++OEHfH19le3jbW1tJCYmUltbi0aj4dtvv3X58KWhdtvt3LmTgoICJ7RKGA0xqSfYTXt7OwaDQfl9QUEBc+fOHfV1n3/+efLz883e27Vrl5I5vWzZMnbt2jXq+4x1x44do7S09JZfwcHBXLhwgaioKDQaDQ0NDcTExNy2eAtjixhDFuympqZGOcvwxo0brF27ltdff90m1745YCk8PJwTJ07g7++PXq9nyZIlVFZW2uRe451GoxFjyM4nxpAF5woODubs2bMOudelS5eUbI977rmHS5cuOeS+gmBLoiALLkeSJJFONkBtba2zmyBYSIwhCy7Bz88PvV4P9EeV+vr6Wn2tpKQkfH19zca7MzIyUKvVREdHEx0dzY8//jjqNgvCzUY6hiwIY4IkSRrgB1mW5/79+h3g/2RZ3iVJUiowTZbl/7by2ouA68AXA66fAVyXZXm3DZovCLclesjCuCNJ0jfA70C4JEkNkiT9G9gFPCpJkg5Y/vdrq8iyXAi02aSxgjACYgxZGHdkWX52kB8ts/OtX5Qk6V9AMfBfsixfsfP9hAlG9JAFwTL/C4QA0YAe2OPc5giuSBRkQbCALMuXZFk2yrLcB2QD/+nsNgmuRxRkQbCAJEkDDzCMB8SR34LNiTFkQbjJ35OGSwAfSZIagP8BlkiSFE3/btVaINlpDRRcllj2JgiCMEaIIQtBEIQxQhRkQRCEMUIUZEEQhDHi/wFdzAOdd9zqDwAAAABJRU5ErkJggg==) ![](data:image/png;base64,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)
%% Cell type:code id: tags: %% Cell type:code id: tags:
``` python