project008.ipynb 218 KB
Newer Older
Litwin Bartosz's avatar
sympy    
Litwin Bartosz committed
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy as sp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "sp.init_printing()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "#symbole\n",
    "x = sp.Function('x')\n",
    "fun = sp.Function('fun')\n",
    "t = sp.symbols('t')\n",
    "omega0 = sp.symbols('omega0', real=True, positive=True)\n",
    "omega = sp.symbols('omega', real=True, positive=True)\n",
    "A = sp.symbols('A', real=True)\n",
    "phi = sp.symbols('phi', real=True)\n",
    "beta = sp.symbols('beta', real=True, positive=True)\n",
    "x0 = sp.symbols('x0', real=True)\n",
    "v0 = sp.symbols('v0', real=True)\n",
    "\n",
    "fun = A*sp.cos(omega*t + phi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "eq1 = sp.Eq(x(t).diff(t,t), - omega0**2 * x(t) - beta*x(t).diff(t))\n",
    "eq2 = sp.Eq(x(t).diff(t,t), - omega0**2 * x(t) + fun)\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "solution = sp.dsolve(eq1, x(t), ics={x(0): x0, x(t).diff(t).subs(t, 0): v0})\n",
    "solution2 = sp.dsolve(eq2, x(t), ics={x(0): x0, x(t).diff(t).subs(t, 0): v0})\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.plot.Plot at 0x297f0d2d450>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp.plot(solution.rhs.subs({x0: 1, v0 : -1, omega0: 5, beta : 5}), (t, 0 ,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.plot.Plot at 0x297f0dccb80>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp.plot(solution.rhs.subs({x0: 1, v0 : -1, omega0 : 5, beta : 0.5}), (t, 0 ,20))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnIAAAHWCAYAAADzS2TwAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAADYWklEQVR4nO29ebhsV1km/u4aTtWZ7zxlDoEMQAaChBtRogSSgDQo0qjYEdTQ2sQWwk8k3Rpk6iCtgNqRyBhQcWoFRe0oBAISEjLAhQBJSELIzXCH3OHM59S4f39Urb1X1anae6+1v2+tXWev93nuk9wz3Nq1ag3fer/3ez/P930fDg4ODg4ODg4OI4eC7QdwcHBwcHBwcHDQgwvkHBwcHBwcHBxGFC6Qc3BwcHBwcHAYUbhAzsHBwcHBwcFhROECOQcHBwcHBweHEYUL5BwcHBwcHBwcRhQukHNwcHBwcHBwGFG4QM7BwcHBwcHBYUThArmE8H0fCwsLcP7JDg4ODg4ODlmBC+QSYnFxEbOzs1hcXLT9KA4ODg4ODg4OAFwg5+Dg4ODg4OAwsnCBnIODg4ODg4PDiMIFcg4ODg4ODg4OIwoXyDk4ODg4ODg4jChcIOfg4ODg4ODgMKJwgZyDg4ODg4ODw4jCBXIODg4ODg4ODiMKF8g5ODg4ODg4OIwoXCDn4ODg4ODg4DCicIGcg4ODg4ODg8OIwgVyDg4ODg4ODg4jipEM5L7yla/g5S9/Ofbs2QPP8/DZz3428udvvfVWeJ637s/BgwfNPLCDg4ODg4ODAwNGMpBbXl7GeeedhxtuuEHp9x544AEcOHAg+LNjxw6mJ3RwcHBwcHBw4EfJ9gPo4IorrsAVV1yh/Hs7duzApk2b6B/IwcHBwcHBwcECRpKR08X555+P3bt348UvfjFuu+0224/j4ODg4ODg4JAKI8nIqWL37t248cYb8dznPhe1Wg0f/ehHcckll+DrX/86nvOc5wz8nVqthlqtFvx9YWHB1OM6ODg4ODg4OCRCLgK5M888E2eeeWbw94svvhgPP/wwPvCBD+DP//zPB/7O9ddfj3e84x2mHtHBwcHBwcHBQRm5Sq3KeN7znoeHHnpo6PevvfZazM/PB38ee+wxg0/n4ODg4ODg4BCP3AZy+/btw+7du4d+v1KpYGZmpuePDbTaPj76Hz/AV77/lJXXzwLmVxr4w39/AN9+fM72o1jDY8dW8P7Pfx+PHVux/SjW8J0n5vHHtzyIuZW67Uexhq98/ync+OWHUW+2bT+KNfzLtw/gL7/+KHzft/0oVtBu+/j4Vx/Bzd/Jr33WWqOFP77lQXz9B0dtP0omMJKp1aWlpR427ZFHHsG+ffuwZcsWnHzyybj22mvxxBNP4FOf+hQA4IMf/CBOO+00PPOZz8Ta2ho++tGP4otf/CL+/d//3dZbSIw/v/2HePe/3IexYgF3/I8XYcvkmO1HMo4//PwD+NTtj+Lv7n4cX3vbT6JQ8Gw/knG87R++jdseOoo7HzmKv37DXtuPYxytto83fOpuPDm/hsOLa3j3K59t+5GMY26ljl/91N2oN9sYKxbwyy84zfYjGce+x+bwxk9/AwBwwqZxXHJm/iyk/uXeA3jnP38PAHDr/3cJTt02afmJzONDtz6MP7rlQUxXSvj6/3wRJsZGMpQhw0gycnfffTcuuOACXHDBBQCAa665BhdccAGuu+46AMCBAwewf//+4Ofr9Tre8pa34NnPfjZe+MIX4lvf+ha+8IUv4EUvepGV51fBF+47DACot9r42sNHLD+NHfz7dw8BAA4urOH+g4uWn8Y8FtcauO2hzs3zjh8cw1qjZfmJzOP+gwt4cn4NAPD57x2y/DR28JUHjwRM3JceOGz5aezgtofCPfBL9+dzDOT5/9WH8nkmfLH72S/Wmti3f87uw2QAIxnGXnLJJZG0+k033dTz97e+9a1461vfyvxUPJADl+8fXATOtfgwFjC/2sDBhbXg7w8cWsA5e+ykuW3hkSPLPX+/78ACLjh5s6WnsYOHDi8F/39ooYb51QZmx8sWn8g8HpbG4L4D+ayiv/fx+eD/v39oKeInNy6+fyg8E77zxHzET25M+L6Ph58KP/vvPDmPi8/YZvGJ7GMkGbm8YG6ljiNLoQXKQ0/lb+N6uO89/+Cp5SE/uXHx6NFeXdz+HOrkHuw7tPcfzd8YyAH9kaU6VupNi09jB/IY9F9w8oBmq92zJ/bvDXnAwYU1rNTDrMRjx1YtPk024AK5DENmogDgwPzakJ/cuDjU954fP56/RdsfuD05l7958MOjvYf2k/P5mwfrxiCH80DeEw8urOVOZnB0uY5GK8xG5fFS13+ZP5DDvaAfLpDLMA4v1CL/ngf0B7OHFvJ3ePWzT3ncuGRmGgAO5vBS03+JeXIuX/NgrdHC/Gqj52t52xPXnQmLa7mr3u1f+3m80PTDBXIZxlOLnUV7xo4pAJ0gpt3O16I91N24zto1DWB9YJcHHF7svOfzTpwFkL8DHOikEoFwHuSNkWu1fRzv2q48+4R8zgNxgI+XizhpyzgA4NBivvYDsReIddBo+euC240Ocak7Z3dHK53Hi20/XCCXYRxeDCes5wHNto+jy/ny0DrcDdzE4fVUzm7gAHB8pbNRP2NnZ/MWQU2eEGze3UKXvDExcyt1COLl6d2LXd72AnGJ2zVbxc7pKoD8MfTiTDhh03hQ7CMu/HmBeL/POqGzFxxfaaDWzFeKvR8ukMswxITdvamKLRMd/7hjOd28z+revhZrTTRa+TJDFUzM6ds7B3jeDHEbrTbmusHsmd1gNm/rQLzf2fEyts9UAADHczYGImjbOVPB5q6fprjk5AViDHbMVLBtqjMGTy3lK5ATl7qnbZ+CsBSdz9k86IcL5DIMQaNvn6pgdqJz+8rbIX60yz49bXtoepm3VII4sE/rGn/mLYgRc6BY8IIxOJ63ddD9zLdOjYWXuryNwZIYgwo2i/0wZ2tBXO63T1exbarS87W8QASuO2YqASuZt4C+Hy6QyzDCRVvBpu6EnctZELOw1nm/WybHMFPt2B7O5WjRNlttLKx1bCZEMLuw1kQzR6ykuIFvmRzD1u7hlddgduvkWMBG5W0MxAVudryMzRP5ZOTEGGyeCMcgbxfbcC1UgjHIG8HRDxfIZRjhoh3DJrFoc7ZxLXTHYKZaDsdgNT+LVgTungecvHUi+HqeNm8RyG2bqgQt6vKWVjy2HAazgpHL2xjIgdymnB7g89J+KNiovJ0Ji92L7ex4OchU5S2g74cL5DIMMWGnqyWJkcvPxtVstbHcNX6cGS9jk1i0y/lZtOKwnqmWUSkVA1YyTxtXLwvRmQPL9VauGseL1OqWyVAflrdihwUpkNsyKQ7wnI3BgCAmT5c6IJwH09WSY+S6cIFchiHSijPjZcyIQC5HB7gIZIHOop3NYXpZBGyCiQpF3vnZuMQ8mKqUMFUJuwou1fLT2eB4EMiVMTveGQN5feQBgxi5PF1oACmYnQgZOXFO5AGtto/F7rrvudznbB70wwVyGUW77QcH1XS1FEzYPAUxYoOaGCuiXCzk8vYldFDi89+Uw7RayEyXUSoWMF4udr+en7Ugp5Omq525sFRr5soMtieQG883GzVTDS/3eRoD+fLWyVTl70wYBBfIZRTL9WbgGzVTlTauHN085I0bCIOZPG1cYoMSuiiRWs0TGyUCtunuexf/zRMjJViIyUopeP+ttt/Tc3KjQ6z7TeNlTOVwHfi+37MnzuYwkBOBbKVUQKVUDAmOHJ2Lg+ACuYxCHFLloodKqRCKe3OkkVtY7VLoXQZiUw7Ty3NSKgVAkFpcztEBJjPTAIJDPE+BnPi8pyoljJeLKHYNtPI0BoHQf7wc7Al5YmVX6i00u519ZsZLUiCXnzkg5rtgI8V+uFTPzxgMggvkMoqFgIUow/O8cMLmaOMONYK9B3iebuHi8xYH12R3HizmaAzkop/Of8PUYl4gB7Oe50msZH4CGZmNEvvhWqOdG4NwsR+Wix7Gy8VQI5cnRq6PnRdnQp4utoPgArmMov/wmqh0dEF5OrxkPQgQBjF5GoOlIKXW+fzzyMgtSpcaAJiu5C+IWQoKPrpj0N0XFnJysVtrtFDrVinPToSpVSA/l1vZeqRzue/sCcs5YqMW+y62edwPB8EFchmFOKTWT9j8aGLkql0AuWQllyRtFJDPMZCrVoEwiMlTQL/YF9BPV/KVWlyQ/BSnxkooFwuoljvHV17mgZCaCCZuModBzMJq75kQZChytB8OggvkMop+Ri6fi1bcvnqDmDzdQGVtFCCnl/MT0K9PreZv8xbzYLqPkcvLGAg/yamxEgpdfeB0oJPLxxgE/mndIGZirDMHGi0/N03j+wuf8ngmDIIL5DKKhb7DS56webEc6K9azXNqVXz+4Rjkg4kBgMVa/+adrwNcrk6d6tMJ5mUMRCArJCZA/lLsIlgR73tyLByLvGRqFoamVvPx/ofBBXIZRb8uSBzgbb8j8M0DXGp1UGq1q4vJ0ca1JPnIdf6brwNcvriI1GpoQ5OPMRCB7ORYqI3LW4pdrPmJbgBXktLLecnUhLppcbHNn3Z8EFwgl1GItGJQ7FAOb195mbRLfdqoPApb16VWBRuVkzHwfX9oajU366D7PseKHe8sABjvHuZ58ZETbJTMyOWNoV+p917qAOlym5Mx6LcfEVKDerOdq5Z9/XCBXEbRz8gVCl5ApeclkAk37z6dYL2Fdjsf6WVxC5+s9N5A8zIH1hrtwDurv9ghb2lFuVJTsDKrOQnkVgI2Kr9j0M/IAfnTTguZxVTffgjkZwwGwQVyGUVYZh1uXHm7gYoNWrCRcp/NlUY+Nu9+jZy4geYlvSw2bs8L02qTOUux91ftAsB4dyxyx8hJQUzexmAQIyfWxHJOxkCcCeNSerlSylf18iC4QC6jEIt2agCNnpebh9igxeZdLRcCR/s8HOK+7w8odsgXIycHMaJaURxeK418jEH/HADCNZGXIGZ1gEZOXPBWc3KpGxTM5m0/EJ+1PAZ5Sy8PggvkMoqVvpsHIKcW8zFh+8fA88L0ch4Wba3ZRqubVgwMgYU+LCfVy/0aQSB/+rB+rSggpRVzEswOZuTylVpdiUit5mE/BIDVbqHfuKQZd90dXCCXWQRBTHn97SsvHmIDUwnd/8/D5t1TrTjWW/Dh+/lIp6wOWAd500aJylRZIyfGIy/B7EqfVhTIX0AfBrPr98O8BDFrg87FsXwFs4PgArmMYq2xXtyb19SqvGjHc5ROEUzM5FgxSCuOl4vwOv8bBLobGWvdSrTqgEAuLwe4uLj1MnL50ocNYuTC1OrGXweAZMEiCfynxnJ2JnQ/6+qA1GqeLJn64QK5jCJMK4Yf0USOFm2r7Qe9FeXNu5qnQK62npH0PC8IZtfqG7/cvl/c3Pn//LCygJRadVWr+WbkasMZubxkaVbr61OrIqhby8GZMAwukMsoRKAyXpYXbX42bzlQG7R552kM5EAWyBcrudYYlErp/H+91UajtfGDWcFGTQ7Qh+VFLxulkctLIDfIFFlc9PMSxKwN2BPHu6bIedgPh8EFchnFICZCmIGu5aCv3kr39ul5CMrLgfBAz8PGJeaAnFaU/56H1KrYnOUxkNdEHg7xcC/ILyM3sGo1Z0zMIFPkPO2Hvu9LBEc+x2AYXCCXQfi+HxzSg6u0Nj4LEViPlIvwhCgM+UqtBmxUHyMXVixu/DEYdKEZK4Y2NHkIZAYdXnnTCQ4OYvKlEwzSy1Iwm6f9sNHygyr+6iC5TU7mwSC4QC6DqLfaEI0L5AOsWsrPog0COSmtCuTrAAvYqFJfajVHbEw4BuFW5XleIHTPEyspUkhA/nSCg9KKedoLgMHp5WqO2Ch5rvdo5MQY5CBTNQwukMsghk1YoYeo5WDRDmIkgXzR6DXhmZRjjVxtCCuZJ33U2gBWUgSy9VYbzTzoBGtRGYqNH8y32j7WuvtBj2Y42As2/hwQ+12p4KFclC81+clUDYML5DIIcTiVi30TNkcH+CDrESCnbFS5d5nmKYgZlFYEJD/BHKyFWJ1gDsYg7PIyKIjJw/sPg9VBwexanvaCvktdnjJVw+ACuQxi2OFVyREb1d+eSyBPmpC1AQc4kC+R96AgBgjXRh6seAbtB5VSAV2ZYC4uNQEjJ2nk8pRaFe+xWPB6ir/EJS8PacVB5uBAvjJVw+ACuQxikMAbyNcNVJh8TvZp5PI1BtFVq3k4wAPfqHUBvbBd2PjplLUBKXbP83JlCjxYI5cfnWAQyA4r/srBGIgzIc/n4jC4QC6DGJRGAGQ2auMfXsKle9jtKw+phLUBfQWBfDERg3zkgHAzr+WAiYhjZjd6wUe92UazW/01yHqj2fZRb27sPXFYWjFPQcwgM2AgX1maYXCBXAYxLLUq/p4HCnl1SGo1TxvX2jCNXI5S7MN0gkIXk4sxGJJSyouXXI8+bIhOcKOPgbjUDWPn88BMx2Uo8rAXDIML5DIIUYU1LJ2UhyBmmP3IeI7SSUPZqBw1TB/GRlVzEsQAETrBnKyF5e77GysVUJKKv8ZKBZSEn+AG3xNr7lKXoNPNxg9mh8EFchnEsAmbp5tHYD8yJIjZ6Bs3EH+A52kM1qVTgi4nG3/zHpZWy0tqNQhiSuuPq/GcjIEoZli/F4T7oe/7xp/LJNZinAzyILcZBhfIZRDihj100eZgwg6rWs1Tb8FhbFTQWzAH82BY4U81J2PQkvRfw5jZjR7QD0srAvnRiwZjUBp8oWm1fTRaGzuQE8F6dVjhUw70ssPgArkMYpg+LHSw3vgsROAjN6zgY4Nv3ECYKoi6hW90xKWXN/rmLV9Y1ou881G5KwpaKuUBjFxugtnBY1AdC/++0dfC6pDirzydCcPgArkMIk7oX2+2g55znDi6VMMbP/0N/OmtD7G/Vj/EpjQ+RBNiauN+6PAS3vCpu/H39zxu5PVkDAtixMZlqmLznkeP4Q2fuhv/8eBTRl5PRpzAuWYoiPnXew/gv/753Xjg4KKR1xOQ53mlL7Vo2lfyo//xA1z96W/g8OKakdcTEIFqpbSekTOpE2y1fbzv5vtx7T9823jQMIyVHCuGfoImUosLaw287e+/jT++5UG0DZxBMuKKAE2dCU/OreKNf/kN/MktD2amar4U/yMOprEy9PCSbl+N1jqPNWp84Avfx798+wD+5dsH8PzTt+I5J29mfT0Z4oCuDNNDGFq0v/3338Y9jx7HF+8/jIvP2Irds+NGXhcYXrUqDnQTQUyr7eO//vk3cGSphrsfPY47rn0RxgZolbgw7AAzKTM4vLCG3/zrb6LR8nFkqY6///WL2V9TYLUezoFCwev5Xli5yz8Pvrn/ON79L/cB6BQZvP8/n8/+mgK15uB1AJit3P2HbzyOP731YQDAiZsn8MafOIP9NQWGySw8z0O1XMRKvWUkkPnQrQ/jr+96DADwjJ1TuPxZu9lfU2AtI9rxt//Td/H57x3CF+47hP90/h6csnXSyOtGwTFyGcTQ1Kp0I+WetO22j89960Dw989960nW1+vHsM17omzuBn58uY57Hj0OoONVdct9h9lfU8YwRk4wEzUDKfZvPz6HI0s1AMCx5Tru+uEx9teUMUzoL4JZE+mkrz50JNAf3fPocTw5t8r+mgLD5gAgp1b5x+Bf7w33gi9875DR/q5RjFxwqTEwD/79e4eC/7/5OwfZX09GUOwwqODDoAWJ/L7/9V6zY7A6TDve/Xuj5bPPy3qzja98v5OZ+KWLT81EEAe4QC6TCAO5XsatILVn4b59PXJ0GfOrjeDv39g/x/p6/agN2byFJsREldY39h/v+fudj5gNYtaGsJIVgwf47T842vP3u394fMhP0iNK6G9SF3P3o73ved9jc+yvKTDMFBqQNbP8Y/Ctx+aD/19Ya+Khp5bYX1MgipEzxcb4vt/zud93YMFowdXakCBG/hr3mbC41sAjR5aDv3/zMXN7ASDrpgez8wC/fvzeJ+ZRa7axZXIM115xFutrqcAFchnEsNSq/DXu29d3n1wAAGybGgMA3PfkghFdnkAgcC4N1sj5Pj8j9Z0nesfgewcWWF+vH0N77hpk5B463DmwN0+UAXQOMFOIEvqHxQ5mWEkA2Do51v37fMRP0yLQCI6t3wvGDekE220/mPvT1c7l8v4D5rSCwy51QBjcca+FQws1PLVYQ7HgYbpSQrPtB3ukCYh5PiiYNSUzEPrQqa6k57Fjqzi+XGd9TRnDMxThmHCPwf0HO5/5eSfO9rRKsw0XyGUQw1KrgDkDyMeOrQAAXnDGNowVC6i32jgwby6lJDbm/s1bXsTcY7C/OwaXPXMXAOCHR5aNBrPDNHImU2o/eKpzA3/xOTs7fz9ijomJEvqbZGJ+eKQzD1767I4e6AcG2aggkIsIYrjH4NDiGpZqTRQLHn7q3M4Y3HfQXBATycgZ6vDxw6OddXDS5nGce9IsALPzYJhGrvM1MzIDcYn7kVM3Y89sFYCd/aA/kOvoBM2shf1HO3tBVlKqAi6QyyCC5sARi5abRheB3KnbJnHSlo7AXxxoJjAsiCkVCyh2Rd/ct/DHjnfe74+cugVjxQKabd9oMLs2VB9mhpHzfR8Pdw+rF5/TDWaPrhgLZqOE/qb8BI8t17FUa8LzgB97+jYA4aFuAsN89ABzwezjxztzfs+mKp6xcxpAeKCZQKRGzpAFixiDEzdPBIe4uOiZQFQgF1zumdmox7pjcNq2KZy+fQoA8PDhbKwFUwTHo0EgN8H6OqpwgVwGEWWAaWrzFpvUSZsncGp34zJ5gA1j5DpfM1O1+Xh3DE7eOoETN3eCWVObd7PVDgT2/WyMKYH3wmoTi2udS8XFT9vaYWabbWNi/9oQN3vAHBPzaPfz3jVTxVm7ZgB0gllT1gtRxQ4VQzKLx7sXmhM3TeCETZ118ITBgo8oRi681Ji52J64eRyndg/xH1oJZofrBLkv92Ld79lUDS73JufBSsRaMGVBIvYDF8g5xGIYGwWY00Psl4KYU7d1A7kjFgK5CIEz5+Zdb7ZxYKHjl3XS5gmctKWzcB8zFMjJ2q/1XQ3CA5yz4EP4hc1US5islLCrm045uGDGR2y1PlzoXzF8eJ24eRy7N1XheZ25cWzFjDZomI8eEFYwcqfUHj8WjsGJmzvr4InjJpnpKI2cqWC2835P2jKBk7d0GTmDF9vo1KqZMTgw31n3u2fHAxsmoxmKROw03xj4vh/s/2IOZAUukMsgotgoEz0m220/WLQnbh4PbuEHDB3gQNhfcdANNLCeYFy0T86twvc7QcS2qbHgBvrYMTMb11qEPkwObuuM5faHFzu2IztmOgHcru5/D84bCuQS3MC5D6+nxBhMV1EuFrB9qgLA4BgkOLy4L3VPdg/rEzaP44QuM310uW7MFDeqs4MpbVTASsr7oaE5AMjFDvbYqAPdS83uTVXs7l7qTI5B5KXGwBis1FtYqnUyFOL9ZwUukMsgkjBynHqIudVGoIPaOlnB9unO4fXUQo3tNftRi9i4TKQWRRCzc6YCz/OCIEYc7NyQ9WH91VFyqpVTJycYuR3dz39nd/M6ZIqRi9i4TVmwCA89sQbEBm4qvRwGsxHWG8xayacWO+zjjukqZsfLmO5WLT4xZ4adjpZZmAnow/2gip2znblwZKlmzE8v8kwwILdptX0c6o7Bntlx7OkGsyY9FSMvdgYyVWIvGC8X2c34VeECuQwikpEzUOxwtDthZ6oljJUKwUFuqjVPs9VGsxtIDmbk+MX+x5Y7Y7C1y8AEweySmUAuSh9WLnoQsR3n5n14QbBRnfe+ayY7bNRYsTMvGswHqQjchQWN6fRyEkPgOnMgdzRYC50xCA9xs2Mw2EfOjF5UHOLbpirYOllBseCh7RvcDyxXLz+1WEOr7aNY8LB9uhLMgQPza+x+ngJrCdwcOOdBMAemx9heQxcukMsgojcu/tvX0a430LZuECNSa4cNsVFygBZVqca7aDtjsKXrHSbGwhwjN1wf5nmekYKP/tTqzpnsBDHi/XMHMeLz3h4Es4bTy4KZHXB4mRL6H10S+0F3LXQPsiPGLjV2NXK1Ziso+tk2NYZiwQsuN6bmQVQBnNCLcq4FEcxvmey8f8FMr9RbWFhtsr2ugO/7YbHDQJlBl+BgZOQEM711ssL2GrpwgVwGEQr97eghxMYtbuBi05I1ApyQA7lBfT3FrZQziDm23Ht4BYycoUBuLYKRk79uIr0cMHKGU6tRAu9yl5Fr+2C1Q3mqL7UqGNpjhoxQo9JJpqq3BUMvDjBxqTEVyK1F6GVNMHLisy4VPMxUO8bY4lJzyJDcZC2ycpffFPn4cqfLz5aJse5zFANz6CPL/GPQaPnBOo8KZlnPxeWQlc0aXCCXMbSltkSD+uqNGVi0x6TbFwBMVkqY7N6CDhs4xMWmXC56gWecjIoBA0yxeYsxEAf50eWaEeuJYX0FBUwUfIjPur/YwdThtRrBTMsBPicTETByU533LubDUUOBXDQTw78XrNZbWO7ORXGxCwM5M2MQrZc1kKGQ2HnhZygueKYC+qhLjQnNsKjS3jxZDr4mCn+OGLjcygHaQJlBiZ+VPNJl5La71KpDHOQqxEGMXMXEhA0YufDmYTK9GhxeA1IpgBkmQrANW7oshGAjGi2/pwctF6LS64AZnWDARnXngQhiTLXliWKjBCMH8K2FdtsP1kLAyE0aPsCHtKrrfM2cLmisVAhaM20zeIADSRk5/r1A3g+DtWDIhiYM6CPmAeN+eLzvYguEgb2JS42YA8WCh3Jx+OXexDxwjJxDLOSbZRQjZ0IPsU1atNuDggf+zTvKbgAwVezQm1odKxWwqdtv1ITAOSqIAaQDjJGJmF/pBKziFi428cVak12bBkT7RsmbOZcFy7xUvS3e+xbDgZwY50ESAxPsfKCXnRwLqqfFmjBX+BNhkG6QkRPvGwA2C2bWECsZBrN2mFkx3zdPSIHcpLkUe9C2slwc2OPUBCsZBPSTjpFziIFYjMWCh1JxuB6C8yAVi1a+gW41yMZENcnufJ1/0R5dWn8DNZlKqEWk1AD+YNb3Q+Zx03hnDGaqZYhM95wBJiIqmPU8L7zUMAVyC2ud9z8xVgxeK2AhDAUx9UjrjXAv4KocPBpU6oV7gfh/U6nVqK4GJoKYoGpXZqOCgJ5/Hvi+b92OSTCPgxg5E/NgJaLoBzDDSgYB/bRj5Ejwla98BS9/+cuxZ88eeJ6Hz372s7G/c+utt+I5z3kOKpUKzjjjDNx0003sz6mDIKU2YNMCQtsFTiPY/opNANg0YS6VEFapDWHkygYW7YBUgkkLkqSMHBcTsVxvBRYwgoksFLzgRm6is0GUjxwgWZAwHeIikJ0dD3VBItW+sNZktz4Bohk5eX1wBTKDmJht3TEwFcxGWfGMFfmlJse7zPQmaQzEPDCRVpQ/2yi9qAlmtjeQM8jIxUpN+MdgbnX9WsgKRjKQW15exnnnnYcbbrgh0c8/8sgjeNnLXoaf+ImfwL59+/CmN70Jv/qrv4p/+7d/Y35SdURVrALyouX3kZNvoJu7h/ncCr8+LEytxgj9mcag3faDgFUuNd9skJUMUimW0suCcRsrFXoOUBHUiSo2TggmZlBqVTwbwJtaBRBUKgLApvGQlTQxD8R7GxvIzvMbQy90bTdmpGBWzAETWlFAZujtMHKLXWZWHoOtBjVyPXKbCN20aY3cluBMMBHMDk8tA2YsqYTNirwfZAXZsidOiCuuuAJXXHFF4p+/8cYbcdppp+EP//APAQBnn302vvrVr+IDH/gALrvsMq7H1EIcI2citTrfnbDyDVTcQkws2qhUCiAtWqaNa7neDLRR4tACQmZmzsABFsfIcadTwrRq76a1ZXIMDz+1bOQAW03KThtk5AQreXS5jqPL9aAIiAv1CHZaGEP7vpgH9AfMQhDMhkeFWBO1ZhtrjdZQxpQK0Ywc/34YHuDhGIhL3TEDaUWxH3aE/lH2I/xV/DIbNWswoA+Y6QHvX/66iYB+upq9sGkkGTlV3H777bj00kt7vnbZZZfh9ttvH/o7tVoNCwsLWFhYwHd+eAg/+6Gvcj9m53UTM3JmJ2zAxJhk5IYGs7xslDD/LBe9nmcQQY2ZqtVojRy3EaoodJjtC+SC1KoJVjKi2AEAyqUONcamkVtdz0YBZgsexFoYlFo1YQwt1sK0xEJMVUqBLZAJhj6ZRo4viAkYuep6Ru7ocp29s0H85Z6/+Et8zj2BnMH9MEpiAPDLbZqtdmDD078fZAG5COQOHjyInTt39nxt586dWFhYwOrq4F5x119/PWZnZzE7O4sLzj8P9x9cNvGokaX2AH/Vaq3ZCjYEecKaZOSCVIolNmohCGTLPRVSwcZl5PCyy8gJ1lFmJAGzFiRJNXImGTnArJdc7AHGfIgvBGnF8FLneZ7ETpsLZqMYuUbLZ/N3DNPL4RiIOVBrtgMhPhfizMFNpJcHzQOjgVwrJkvDvB/KRviOkRshXHvttZifn8f8/DweeeC7wde52+HEBTHcFLK4gXsegubYQGhBYYaRi160YVcD3jGY6VuwIqgxkVqN9ZFjvoGGQUyvsHdTloodmD0VhwVyolrvmAGRd1RqVf461740iI0CQnaam5FrtX00WhF9l6W5wcXMLkoXOwG5kpmbmY1j50NWlmcONFthsCqPgcmLbfyFhvdcFOz8eLk4ML1tG9kLLRmwa9cuHDp0qOdrhw4dwszMDMbHxwf+TqVSQaXSEbpPToU3vaW1JrbzPWp4+7LEyAlNzNRYKXAxB8ID3aS4N76rAe/hNd13eIkxMHEDjQtiuAs+5oakVrdMmit6CTqcDL3UdOYnV/XosEAunAf87eqCYocYvSjffiBSq71Hxayh4ic5QI1i5Do/22bR64UXu3AeeF6nXdeRpVrwfS7YLnwaxkaJjM1irYl22+85L6gRf6Exw0xnkY0DcsLI7d27F7fcckvP1z7/+c9j7969iX6/WPAwVelMFPGBciE+rdhlIdhun4N1QaJqdXGtiSaz7UKs/Qjz7SvUBfUdXgELkYFglrngQ6TM+lOrIsVu0nZhqMCZ+1IzIJ0k/517LwDix8BcanUwI7fAfKmRNaCDgllR8AHwX2779wNT8yDUyMXJLHj3w2q50MNGif3Q98EezCa90HDLbbKojwNGNJBbWlrCvn37sG/fPgAde5F9+/Zh//79ADpp0SuvvDL4+V/7tV/DD37wA7z1rW/F/fffjz/90z/F3/7t3+LNb35z4tcU7Az77cs2Izfk5iGzEtyMVGyxA3NacWFIIBfaLvAzMatxxQ7C0Z5r4xpSai9SqyZYybgOH+yGwEMZOTNBDGA/pTRcZtDVzDJr5OL6LnueJ8lN6NeCLHJfF8hVzQazw4p+TAUx/RmKSqkYSD+494O4qlVzRT+OkSPD3XffjQsuuAAXXHABAOCaa67BBRdcgOuuuw4AcODAgSCoA4DTTjsN//Iv/4LPf/7zOO+88/CHf/iH+OhHP6pkPSI+QO5ALqnQnzuV0n+Al4qFYDPn1smFjJylYofVwRtXGMjxV6rVYjVyvBuXSKdMDQnoTQQxUf5hQNhv1bRGTqwN7sPL9/14JoJZH7UwRCM3a0gjF9d3GeC93PamFfvmgVgL3GdCM2Yv6I5No+UHtkmUiApigv2AO1Nlu+hngKdklpDN8DIGl1xySeRBOqhrwyWXXIJvfvOb2q8ZMnLMG1dCRo5d3Dy+fmrMjJexsNY0ll4etnGZK3YYfHg1Wj5W6i1MVviWT5QRLMC/cS2LQK7Se4AG6SSjlWoxVauGNXIzhg6vRsuH2OYqRfOt2nzfH2g/Apgr/IljZYHOGCyiyTIGclqxP4iYCS732UitAp1gdhhzp4thcwDorI1DCzVzjJy1oh/HyG0IiA+Q+/YVeCYNSycxsxDDaHT5a6bSy3GMHH+xQ++iHS8Xg/G3vXFxt+gKGLnKYDZqYa1hgJWMZuRMFf4MT62a0QUBSbRB9GOwUm8FDE//xW6ToYrF0ENueHDCmaUYxkgCUkDPPA+SVq0CPIFMWLk8nJFj3w+Di210y0LTWtGswAVyCTFt6PYV0OgxrUjYix0GLFpjYxATzNoqdvA8L1jI/NV6dlMJgpGb7GPkZFZylSmIFIjTSoYeYmbZKLE2TAXzwPB5wKkPE4dXqeCt8zM0ppGLqdgEePeDYVW7QO+lhhNxVaulYiHQD3KykoOCWWOBXNL90GnkHKIgJvEi8+0rLojhNsAMtAADbh7iAFsypAmJY2L4Arnht/AwpcR7gNVjdIJVZoFzmFrt3bgmxorBocHJRDRbbYjpPTS1ysjE1FttNLsP0B/MmkqtivdVKgwW+gO8hT/y4SUbYwPhAc7dc1escVsauUF9VgWCLA17ejmamZa/xzEPhlXtAuG42A/kzOims6qRc4FcQgRpxZpdRk6eyBys3LCKzc7XzKRWg807zoKFuVH4oDEwlVKK803iNoZeqnXmYb8OsOOfxc9I1RKwUZzFDiu18ECYGBtc8LHU9c/iQtzhBXCzURGXum6qVS4G4EAcGwXwHuJR+jDTAf0wvSzAPAa1+GIHU4Fc3OW+7YPFHisqU5UFuEAuIaarneDBOiPXo4fgq9Lq10Z1vmZW3BvnI8cVyEXdwo1t3jHVitz6sKXuhaWfkQPMbN5JArnQfoQ+mBLroFourGPDxIHG7Z9Vbw3vsypgJohZPwfE/sAdyNlm5BYi9GEzASNn10MN4JVaDDNIB8wFckHP4SHBrOxv12DYD5xGboNATOIFdkYuWaUewMRE1AdrowBzBR+xY8DsHxZ1gJmzobGnD2u22oHAelBlrlgLS4xrIc4/DOA9wEVLosmx9e9f9s/iDOjFZxDNxPAd4FFCf1kvy1n0koyR4wxiMsTIRQVyjMVPURkK48UOMZc6gCvF7jRyGwLTpjRy3Uk4rJ+b53msgcxyN6XUn04CzKdW44KYVpvbNylCF2PZyZwziFmWmoAPCuhDZpaRjUqQTiozBrPL3QvNxID3D5g5wBIxMYx+guLzHcTKCn/BRstnbdZunZFbjWLkDLPzQyo2AW6ZgbjcR/jIWdbIlaTLHo/kaDgrmQW4QC4hAs8g5lRCos2bc9EKRm6AF5EIYjiZGCC+Uo3z9tVu+1J6eXhKiTO93JYahcelEjjSCKLQoVz0BrKiU1V+fVQQzEf0zuRMsQuN3CBGDjBziMfpguTvcaRWV+viUrf+M5DHhXMeZEcjNyiIMZRaTcDIBZpZlkvN8LVgLrUafbHjJjiWHCO3MRCkEthvHvG6GE5TYJFSmhiYUjOTVoxtls4YyMmWGlHpZV5tVHJ9GAcbshxxAweA6Qp/9XKchxzAawgcMHJDzFVnDDAR4QFuh40Se8H4gAO8WPCCyx7rPFBg5Fg0w/Xha2FGMonnTC8nCuS632swjEEQ0A/YD7NiPwLwEhzLAcHhArmRRnADZ2bk4pgYwJQ2yE4QA8QXO5QKYaPsWos2mBXv3/MGHx4m3NzlAyneeoM+mBcMy7BNywQjJ4T+UYFcueh1f5ZTKzpkDEQwW6MffwEVJoZlDBrRwawRZtayj9xaBCsp0mxtv1eOQA2VQI71UjPgYh3oZS1LTQCgLIJZ4jFotf1ArzpsLdiGC+QSQkzYWqPN5lUDJEunsOqjupvyoDYvptqUxRU7yI2yqcdAHODj5SIKA0T2JnSC8nsSwUo/xlhTq535PSi1LH+dcwwEIxd9ePHZ0IRa0SFBTHcMllmD2e46sHSpi0qtAlIBmIFLja39MIqVrJYLwfpkZWYTzAMjMoMIrSS75EjlUsOYpRmkHc8CXCCXEHLzcCMi7wS6GOoJ22y1g41zEBtjrGJTYfOmvoVHFXsAZlOrY6XCOiNWAVY9yJCuDgJGNXLW0ooxrGTFxBgkkFlwppNqIoiJDmY52Zigz2ikVpKvanWl+/qD2KiOp6I5raSteRBcbgfMAzEH6k1DBEdU8VOJh6EX79/zhvf/to1sPlUGIVsgmLh9JdPIEU9Y+eYxUB8mTJHNdHaI3ry5bl/RQUxovWEgnRSZVuSr3M2ERi6muwcQspUsVau14bogIBwb1vSy5ZRasBZiLjVmAnpbrGQyrSSnQbh4X8OcDAC+eeD7fqQVj8zac+4Hic5FLkZOsLLl4tCLtW24QE4DnNYTSWwXuFz9xYQtFbyBry82bs7bV0uq2EwkdDfMyIkAj1cflvzwAugDGaGJGVahZZKRs8FMAwkYOQPt6lRkFixsVD0hI2egajXJpY6z+CtuDMSa4UAtiT6MaT+UW9UNutT0FL0YuNREM/Sd75HvhzFnQhbgAjkNcOpikhxgXLcvWR836OYhH2pcqUV5M44SOHONwUrMDdyINiqRhxqfb5L4bIenFfmZWSUmhtFyYdjmPdU91KzvBawptTiNnAGtpHVGLunFbmMWO6xKRRyD0suApJOzLDkaE8VPTFmarBY6AC6Q0wLvIS4c7c2LvKModKBz++IWusvGpjYqd+MOL5FSW6m32PpsqhzgAAcrmbBi04jI3bYJ6rCAnj+YDY1gbQcxMWNgQCMX7SfIqJGLHQMTF7vo9lQA3zwQF5qxUgGlIa9vgplVCmYNnwlZgAvkNMBJoydJq3GllMRmNEwXBEi6GDZGrvOeSgVv6MYBhJs318YVJ3Lv/CzPGCRJI3BW7op5MKxq1YQ2KhiDKFaW1UcuhpEzmFq1pZELK7jjUuwbs2q13faDisVhqVUxPzgDucCSygIzG1xoIoKYKQMWJErpZfIsTfQcyAJcIKeB5YzQ6NSakDhGDujtsciBJIUOAGPBRy2aRq+UwibqXPMgyRwA+MT+SxF2AwB/MA/EN8kGDFWtDmXkuqlVTm2Ugk6Qo+Aj1n4kM1WrPPvhmvTvxTH0Js4EG5f7lZgLDRDOg0WmgN73/WTacbYxyLYZMOACOS1w3b5abR8iWxfZKJuLiYnRhwGydxTPGKwlcPQH+NiYlQgXc6DDhHGLe5Mc4PL3+Ri5OIF3i6XXLSB1dohg5Fh7rca06BJpReuMXJHPSy+w3rBpCKwSxDDtBcDwzhImAnoVJwOuwqeoM4FbJyh7ZSZh5Ki9NR0jt0HB5eItb8ZZ1QKEGjleRi42kLN4++LWxSQdA65UwnJcV4Mqf3o5iUaOs2o1TmZgpHrZupde9AFmothBiZFr0I6BbDsxyBwcMGxDE1n8xFvsEBnIdffKFaYxkN9TshQ77fmcZAxswwVyGmCbsAkDObYbaHB4RQQxzLfwJM3SAX5xb9Tta5I5kEuaWrUV0FdKxeBQ4WKkkowBa7FDjMxgusLvJ2izy0urHaazhlfuZoOR46tgT36xNVLFbsMgPUFq1dR+CCTMVLHNA5da3VBgYyFaYZ/P0pAbIMC/aKOEreJ7K0ysZJJm6QD/7SuKkeO+hSepVgT4DvGAiYhiJdkD+nhWMkwnMbQpi9HIia+vMKaXk8wDoZOsMdnwAHbtR4TUIlFnB2JGToxB1GuHxQ48+6Hv+1bNcOOqt4GQtebOVJUK3lBmFOBLrSZJL9uGC+Q0wC5yLw5vzQTwpxWjbh7ieytMwWwSuwGA7/aVpHKX2wQ0SZ9RgK/fapDOinh9dhsalbRiqw3fJ9bFxJiAmkgvq1ouUI6BuKgVvOHB9JQBVjJRmzJmD7Uk+jA2Nkp6TzblNpGXOuYzQTVDwWWU7wK5DQbrKbUij29SXKNwoJeJ4ECSVApgVyfILe4NLWgSppdbxNV6MZYLgAFWMsE8kL0WKYPZerMdfAbDmNlKqRiwYXxayQRVq8XwM6IcAzmdNOxSGawDRkaukYCVDDVyPFX8iVKrzEEMkLBik4mZjcrSTAR7Add+GB/MA3zFT67YYYOCbdEm8JAD+FNqw0TugMTIMS1a1WIHcvuRBKxkVjRyoUaMlo0KvLMiWFFRrcelF03CxMhzhPIAk93sozZv7qbxKhYsAO0YRDVKFxBBbr3VRpOhchhQC+jr1NWKGbrQAMmCWfqq1fgx4N4LRHrdttTE2Y9sMHCxUUmaIwN8xQ5JtADiezarFQFGTUiCRcstcE5yeAF8FiyrCSoFA22QRWZWXieU80DM7bFiITKQNHWIJ0mpyT9PgSTpJFl+sELMhgFAs9UO7ZisVCvGX+rEXsB1sRVrO6k+zEYQI8aHXTMcux/y+GouJ7jU2IYL5DRgc+OWv8+VSogU+gd6CK5iBxFE2GHkkixa7gM8sf2IuIUTjoHv+4kE5mGKnVcnGKWVLBa8wJyZcvMOWNkInSTAX7WZhKGXx4DyEA/SSRHjP1YMzbE5ApnE+jCL/mFZYee5u7xErQVuuU3Wq/izABfIaYDt9pXALwjg00MkWbQTzOLetaSMHLPAOapKyxQjl3jzJhwDOTCOOsC4q/USV+4yHGBxZsACmZsHDIFc1OHleV7wfY6A3r4+rDsGURcaKUNBXXAD2Bf6JxsDMzpB26lVF8htMHBXKMUtWv52LPGLdpUhlQIkc/QHGHutJjjEg83bchDDMQ9kfVhU1eok4wEO2NVKJrUbmGBuz6TMRBAWvaw24tOKne/zsTHi/Rc8RPZdFmnFVtsntYJZi+lsAYSMXNvn2ROVrYiYih2ivEVNsZK2DNKT6KZtwwVyGrB++2LTh8VP2PExXkbOZmcHuUl2dFqRObWa0H6Eo9eqeP9jxULk4WkqiEm6eZOmVkX1dsThBUjBLNOlRrX4iTKYTVqpxym1EO8nTjMsrxPaFHu89cbEWBGiqJdjLagG81zFDkl8Nbl1gi61OhwukNNA2w8raSiRmIkp89LoVjVyqqlVwjFImlZkb9Fl8QAPffyiX5ubkUt6gHGwkkG1YswYiDnCVrkbVOuZL/xJmk4aZyx+SnqAiwuN/DsUSJpeDlKLDPPA9uU+WYuubKSXue1HXCC3AcGycSn6yPGZP0YxMbyMXOgbNbxCC+AxBF5rJEwrGqtWjN44ODauJNYjAH/VqnpakXAeJGzJw32psSm1SHp4TTLaETWSXmiYqpdXE6bYOfvu2u7ykqT4a0JKL7MQHAk1clxuDkk63diGC+QUIYIcliotVTNc4gmbpEE1++FlsUJprZvWLRW8yLSicPW36egvf590DBJ4ZwFSpZplvWiQXmaYB3GV05xCf0AnvcxjCByFCcbq5aQHuOd5LDID1fQyJyOX2IqIOJBbSxDQy4UQHMFsLWlqVawDQl/NRks2B3eM3IbBRJmPjbGpBWi3/SBFF8XGiI27KTXVpoTdICbedgPgZSEAuzrB1Xr8HABkRo65q0FCJoKy16i4gcfNg+yxkoTFDkkLPgwUO8S9f4ApvZyg2AGQNGIWx4Dtct+M3xMLBTPVy3FyG3GhodwL5M/U+chtIHD6ZyU1BBabFqk2SjLTjDSClb7HMQa1pKkExtRq/AGeEd8khtRq0l63mfGOYjzAk86DVYYxSNosXf4+rSlyMjZqgpGhVwnkAk9FDkauHJNiN5FaTVzs4JPq1IJLTUwQNclY/GTzci/ef7HgxZ5JNpHdJ8soxhldrJOyEGGxA92ikbUNUQdYSXK752AiRIqsHJdOYkwrxqXUxOG22mihTWh3IJDcyZw+mF1NKPSfYEwn9QQxMWuBQyco1kIsK8moF01qhgvwXOwCkXviS429lBrAMwZJU6ucxU86lbtU+4Hv+6HMIEI3DfQWPFDDZrFD4ORQLg7tOZwFuEBOEZMZSCVwshCyW/swTDJW66kawXIc4ElTqwCPd1TgpRcXxATBLOENPGGxA6dWstn24SdozSR/n0UnmJSR45gDCc1wAZ4xSOqdZYSRS8CEcOgEkxc7MMptkkoMGAo+6q12sA5j90TGYFZIBuysA2FFlN20KuACOWVw3sIbqlVqrTYZjZ6UjQJ4tUHJafRuWyKW1Gr0a1fLhcA7iuUAE9V6cW3KGNPLsSk1A+sAsHOpSToPOFnJpF0NAB59VFI2yoQ2Ko6NAngrd5PqRbNwuZd/Jy3W6lKWJi61ytjpRbXgw0YVv224QE4Rk+UMeAZ1v+/7HfaCAqsJN27AzOYdv2g7z0BardhIpgfxPC9Y2Bz6qPAWHiPuZei1mnQMZEaO2jtKJ4jh2LwTF70ws1FRzdIBJm1QQqG/+L5NbRTAZMWT0IKFteAj4eW+UPBQKtBebkVatVjwerz6BiG42Nm05WKV27hAbkMhnLCMTIyKHoJo0taaySfsBKOTt9iI427hZQ5GTmUMGKs2E5vhcmjkurfwakJGrtn2ySvlkrZmAnhMkZNWrY5nQGYBSPPARmcHzorNhD5yAP0h7vt+YAydtE3ZKsNe0Eh4sQXoxyC81BVi9WFhd4eN5aUXtox0gdyGgol0igqNTnWAJbWdAHiFrTXFMeCxH0mSXuY7xGtJWUlGJiY2nSRXLxMH9EnnAMCjjRKWC7E6Qc4KdhWhP2O1XvJeq/akJvLPUF0q6q120Lc1LphlDegTBjEAPTudlJkGwv2Ag+BIuh8I1pDjcp8kkLaJbD9dBpEF36SSVJBAfftKcvNg1YQoVity6MOSjYGB1KqFJtFJhf6lYiHY3KgDep3DizSgT6oPK2dM6E9YQb2S2EcuK2NAux/K6zp2DMp8PXd1vPSoLvdJi7+AcIzWLI6BHMxTyT1qCmNgEy6QU8QEo2dQUg81+WfINq6EthNAyETYZCUrJQYmJqHtBCBpg4iDGNv+YSpFL1xptaQtygC54IPQiidpZwfJS4/ahkZIHVRYSTtCf0b7EZUgpjtXqNgo8f7LRS9W5iGCWY5LndoYMKVWE+wF4xkq+PB9BGxqWjhGboMiFDgzVmkppRJoFo4Sjc7IRiXWyHW/32r7dItWo3KXegx6bCeStqeyIPQHZKE7MSMXMDHxvk1jDAF98s4O4ffXCD0dAcX0col2Hvh+2OXFpjm2GhtFzMgpVCuOcxZ/BZd7hUsN8Rgk2QuC4i8ORk5RIyf/Tlo4Rm6DYsJAmbVKSomqSXFNYeMyYT+SVB8G0B1gAROTgAni0sXIG5CdFl061cs8Y2C7NVPc5l0tFQMbGur9IOk6AOhtF3rmYEILFl6ZRYIghlofljCYB7Ihs5B/hi6IycYYiGAqqdQEoOu36hi5DYpJJhYCUKxUI160KjfQSc4bqKI+DCDUhChs3lxjoGK9USE+vABVJoI7tZr88CJtV5cwxV4ohDY0XPPAhvWGPJZxB5gRH7lSPDNbJtaHJWUkAUhzIBuBHNnFVkFqUuUMZhNWL5cKXnCxqhFlqmoKBXA2ke2nyyCCCctAITcSTliAQw+RvMx6grOvXkI2RvY1oh4Dm5oQmZWNK/nn0EappBImuIIYBUaOp0WXOjvNxkoqFXzQCryTvH4ocm+TSRwEAlZSRTNMzkYl2QsMBHJJZAbE+4GSRi4DBR+e59GPQcDIudTqhsJ4yYAWwEI6RYWJ4bqF+74faJ3iNHLyoiVPrSqNAY82SimYt8TIcaVTdCQGtkxAuSxI7DJyYTopqX8YYHkMAnNs2pSaiqek9TOBmJ1e1ajiX2MNZpPrBKk0s46R26AQzYNtT1jqzVtH6M+pD7NZpaWycWXhALehDwMYdYIWK/UarXbQLSVRepkpraamkaMtdlC5TFRKBYjGE9QBvZKPHHH1cpChSPDaJtLLdvbD5KnVkJHbWJ6KNQXdtE24QE4RrNU5Soe4qNKirdi0qZFT0YcB9FWbavYjGdCHsXR2UC92oF4LavYjtHNAfi9xQn9AbhaeBVNk2kq9JBcaz/PYip+U7JiIq5dVOt2MS+llahsancs9WYsujfSy7YIPvrWQ7VAp20+XQVQYU6s2N2+lKi2mw0s1kKNOJaixkjwbl4p/GIf1Ri2hhxoAtn6zWvow4sPL8+yyMTqGwHXiICZppR4/O23eeiNk5JJfaAB6GxodNoqq93LSvssA314ASOeijTNBIaC3CRfIKYL19mWxHUsg9E/AxHAxciIgKRW82EbhAEN6WVSqKdiPkHc10LCdoPTSCxi5DFStJhuDznPSVS6HrGycPgzgt2BJEkiUiQ9wldQqwDgGOjIDC2yUvF/YHAPq3stBlsYiOw8Ada3LLTEj5+xHNhbkyJzS8gCwSyHrGGBSp1JU3r/8c2R6CBWRO1MQU9O4gQM0Y+D7vl6xA7EuJrCdSFCpR55eV7yBTzAZhCs5+rNp5FTHYONoJVUYOdmGJgvsNBVDr9Kiq8qkFQWS248A9Lphx8htUMgfKJs2SKW3INmiVWjNxNTVQAiVEwdyxBVKqxlIreqk1ACaW3i91YYg9pIws5kwBCY+wFUYSSBbbBQdCyGKfhQZOeoOH0EQYyGgV9gLgGzNA+rODioSg1qTTydow5bLMXIbFMWCF0wW8kBOxz+LWA+RiImphGlFqubEgJoWAqBvU6ZiO8GVWlVhQ6i99OQuITa7W6ixUUyH1wge4NRmuIlTq+w9d5NVz8q/kxYqhsAAX5sulSCGK72cJLUq/wzludiULpc22OnAR84xchsPHDS6rHOy4SOnkkoQjJzv07UIA5DYQ04gvIFSpxIsspIKhxe1l57YuIsFL1FaMzSDZbKdsNCaKTjAE6YVx9l67nbZaQVm1lZqlbuKPet2TAAjQ69yuRc9d8nSisnXgvwzlIGctiWV08g5xEEEcpQHWENxwnKZgKpUKwK0jJTK7ROgt98IfORUih24GsZb0AnKacUkQv/xsn0mhksnmZSR47IjUhsDwULYqVrl0swq+cgRVyvWFB39TXR6iQP55V7ByaBQ8IKzgzKYVbekcho5h4QYZ6jQqSlO2PDmQbV5q4l7ORdt0iCGslrP9/1gDGxWaanYjwC02iAVM2AgG4bA1Okk1bTiuFgHTDILlZSaDR85gLHwx6JOUIWdB6R2dUwBfVlFZkClm26K1GpSVpK+w4V4/wUPKFlp1eYYuQ2LKkNqVb5BJKvWY0qnKDIRlKykbrEDxaKVA2mVRtmNFp31B6DBShIyEfrpJIsWLBnRRlF3etEZAxudHQATxQ425oFq9TL9WvB9X2kMysTzQMVHDuDpcqISzMs/R+6l5xg5Htxwww049dRTUa1WcdFFF+HOO+8c+rM33XQTPM/r+VOtVrVfm+MWLmshkqS1qPUQNYUKJYAnpSS0bkk1cmFKiS6IAYBqgjGQFzZpMKsZyFEEsyrWI/LPWW0YT87Iqa2DagZSq9TpJHVD4C4jZzO9TFzBHjByCYOYKgM7raoP47KkSsrMcnR3UNkL5J+zxdDbQrafbgj+5m/+Btdccw3e/va34xvf+AbOO+88XHbZZTh8+PDQ35mZmcGBAweCP48++qj2648ziLyDA1xxwtoSOFeztGgJKzZLBS8RhS8vbJaAXrHggyKgV6lSAwxYsFjoblFTKPoBGDVyGn1G6TRyamPAxshZZGbXFLWSEwyXGvm9qPTctdFrVf45Sl9Jle4enZ+jmwey3MYxcgx4//vfj6uuugqvf/3rcc455+DGG2/ExMQEPv7xjw/9Hc/zsGvXruDPzp07tV+fo2pVWR9GqIdoSo3CEzMR3YW1RrRpAGnGwLw+rFDwgrGinAdhijvhxkU5BnW1TYtDEwOEY5CEmaXubqGskeNq1dawV7Gp2l8ytCPKgB2ThcIngOdSIwfmNqqXVaUW4VqgPxOSrkfKc7GmGEjbRLafbgDq9TruueceXHrppcHXCoUCLr30Utx+++1Df29paQmnnHIKTjrpJLziFa/Ad7/7Xe1n4Ein1BUOL/nnKBatHAQk1shxMHIWKzZVNy0gHIMaYX9FlSo1gFYftaaaXu++/2bbJ2MBAD1DYIBmHgRpRYtaUUCtw4fQ1DbbPokZq3LVKsMYyIF5ooCevO+yWrEDR9WqmM+qLQvJCuAUOjsAstSCkJFTWAfyz5HsBbKvpmPkaHHkyBG0Wq11jNrOnTtx8ODBgb9z5pln4uMf/zj+8R//EX/xF3+BdruNiy++GI8//vjQ16nValhYWOj5I8CiD1MU+lNWK8oTNmkAwWnBopxWJA1iki/YkJmlC2KUxb2E6WVlob/c5YSSidDQhwG0RS+JJQbMGrlEVavSzzTa5seApfBJruJXCGbp7ZgUGTmWtKJ5oX+rHRZaqI4BxzywcSaIOVDwOsF0ljFygZwO9u7diyuvvBLnn38+XvjCF+If/uEfsH37dvzZn/3Z0N+5/vrrMTs7G/w56aSTgu9xVKppV+cQHl5J9WEALyuZdAwo3dxVb+CdnxXpZcp5oFi5S8hE1BWZmLFSIdjgVigPMJVKPeLuFqp2A1ypVaVG4dI4UejkVNPLwTogNAfvEforaFbpPCX1ghjaYgfVyz19EAOoM7O0Vat6+yHtmZDMV9MmRi6Q27ZtG4rFIg4dOtTz9UOHDmHXrl2J/o1yuYwLLrgADz300NCfufbaazE/Px/8eeyxx4LvcTByYgNWvXlQdDVQTaUA4PGR02bk0o9B6JmUnJHjtKFR1YTQHuAKrCTHAaYwBp4XtsyjYeT0tFGUQQygpw8DaNgYVVNkzksdoGbHZKtyl2MdqLcs5MnSKF9qNsjlXudctIXsP2EfxsbGcOGFF+KWW24JvtZut3HLLbdg7969if6NVquFe++9F7t37x76M5VKBTMzMz1/BLLARtHevtQE9oCUTiFlo/RYSQo2ShxeSe0GACmYtTgPSDUhiq8N8Ii8lceAtHJXTegv1kG91UaTiA0C1FJKxYIHkfkh3Q8SdzVgrGBPaMck5kqT2n5E2UfO/plAws53x7+okKXhKAJUDWYpU+yqc8AmSrYfQAfXXHMNfumXfgnPfe5z8bznPQ8f/OAHsby8jNe//vUAgCuvvBInnHACrr/+egDAO9/5Tjz/+c/HGWecgbm5Ofzv//2/8eijj+JXf/VXtV6fszrHpkZO5ebBkV4W78VGwYfOouUxRVa8hTOkU1TmQadytcbin6UUzNaoGTk1NgroVHBPJfzc4p9DnZmtNds0lxrlMRABhD07JrmC3ff91KkwlZaFgNyuzp5GjvRyr3EmcHS70b3U1SjOhBFi5EYykHvNa16Dp556Ctdddx0OHjyI888/HzfffHNQALF//34UCuHgHz9+HFdddRUOHjyIzZs348ILL8TXvvY1nHPOOVqvz9nVQLXPqK0DnMcQ2B4btapTtcowD1TbI3FUaSVlowBZH2Wxcpeh4CMpG1UpFeB5gO93DvGpCs2WqnOA1ZptYkbOHhOjHMRI+32z7SdKxw5Dq+0HUoWkDD2PRs6e1ERLbsM5BhbaNqpW7drESAZyAHD11Vfj6quvHvi9W2+9tefvH/jAB/CBD3yA7LVZgxjlG6gdbVQW0stjpDS6mos5wCvyVk0l2KjYBHi6nKj4yAFhlxPaMUj22p7nYbxcxEq9hTUW/6xkn0W5y0qSHOKKlwl5P6RgwwCdvsvhazZa7cRzZxB6urwoV63a14dRBvNKMotMnAl0ellVOyabyP4TZhAsXQ2UNy7Cm4eidxbAFMTotqeirFDKSDBrYwxUXxvgYuQ0e+5aEPoD9Be7dtsPDLqVdYIWGHoR8LV9uu4SIkOhKrMAgEbKAjB5LtusXrZrvaFf+MRS/GXBV1NHO24LLpDTAAcjp8xC2NbIMTAxoUYu2Y2esrODniEwfeWucrl9MRTbU722ToqdQyeo7OZuIbUK0Af0qj02AbusZI+fINEYqDJCss9X2jGQBfZJjHgBpguNalqRsEWXKrEAhKbIWSh8ojSJd4zcBgWryN3KDVz/9kXqpacq9Kdk5IT9iEpqNWhTZtF+RFgOkAYx6owcR2simyklncIfqjGQCxZs9NxV3Q/KRQ/FbsBDtSeq2jF5nke2J6r2WQXkM8FmARzdxTbNpW7F5rnIUMU/Cho5F8hpIGBiMmE/YstHjlMPkfQAoa/SUqpaZQhmlXUxpJu3PhtF1XNXbs1kI6DPAiup6qEGyBc7Co2cWiDjeR6q3fGiHgMVRogqS6FTwS5+tt5qk/T8Ff8WoNOuz7wpNCB5KmbAV5NCO+4YuQ0OHhZCt9iBUgtgWxulllqlNILVSa2yBLPK6RQGbZTF9LJqayaAeC0oCv0BeqmFnF5PWjjAo4/SYCVtBnJEzKyO7YTM5NsKZsUckC9Dpl4bCPdDyi4vut6idYIsiWPkNjg4q1aTi9w5NHI6hxddKqGhm14m6G4RBnJ2q1ZVPwtaU2SN1CpxelknkONIp9hMraoKvAG66mXf99PpBKnGQNGOCaDrdqOzF8jPaSuYlS/Aac8FnTkwweGvGhAcqlkax8g5xGCcszmwKhNjK53EOAbKFZuEhsA2mRhA0gnaqFptaQT0xOmUWvcA9xQaVVNaDmTBUzH4HBSYUSpGTj4AdRh68iBGIZgVP9tsUwUxyV+7UPCCn6dm5FT3Q4AikEuxDiyaItO26HKM3IaGmLCNlk/CiAG2zR819GEcJqCaaUVb2iiRhqXauH3ft2s5oMPIEbOS8vtPnFYkteLRCOiJLzVaQQxRWlGnWToQ7gc16nlgQSOnY8MD0MtNlM+EghzImU+tyl56vk+kE9RMrVJ6i6rIbWwh+0+YQciN1akWraoWoL8lDcVrZ6XYIakFCyUTo2p5ATCI3DVsJziE/jq6GJtMDFXBhxxIV3XGgDi1qhbE0MgMdCpmAQ6doNpeIP9s2tSqTloRoK9cVZ0HhYIXsNg2UqvCX7Xt00g9gBSVu5asiGzBBXIaGCsWgibVtvQQ8ibbTClsrWloAajZKECnSotOJ6gTQHAFMYBOqzZbHT66xQ7ULITCXKQKZuXDx2aKPQ0bReWhVlEotADCNCydRi5FMEvEyKm8NkC/FnS6K1AFMgErqWHBAtBfblUNgSl6rdYcI7exIdryACBry6PKRvW3pEkDrXSSSKU022hTldsrB7PFnt9Lg3SVu7RzALBlvaG/edu1nRCMHB0bpaYX3TgHuM6lDpDmAXHRi42qVR2ZBcCXWlVjJakC+i47r8iIiten6reqW/DRIM1UOUZuw0KkV6lKrXX1YQBdOkWn2AGwt3mXWRg5ey1pwnSSl9hRntZ6w76Hmmrlsvyz6Rm5znsoKBRaAPRjUNNgh6nMcHXbElGvBVU7ps7P0mrk1Bk5+yl2Mq1kQ/1SB9hnpyvd/dv302eqnEYuB+BatEkPUdqWNBqpVemWQp5OUdTINVp+alZQzzepS+MTB7IqN0DbVavUrKRWEEMVyEnWLyppxcA/i3gd6MwDOm2UYhBT4mFmtexHLAj9AZmVpC/8SQoqSybVlKYA+eVWteCDI1PlGLmNC+qbh+oNlLIljY6PXKHgBRsd1cbVUGbkJFbSguUAdeWulj6MiJFrtX3l1lgAY7GDBW2UTmoZ4PORs5Je1k2tjvHIDPQKPuwc4IFu2NLlHgj3xNSXew07JgCYEP1WM6AdT3uxc4xcDsBmOWCh3F77ALMcyFAuWh1dkhzEUJTb69lO0KaTAL2iF5tBDJV3lK42ynY6CWAIZpWDGB4vPVWNFmDPfiQ4E4gYeh2ZAd08SKcTpGKnVSvpS1IhIl3hj2PkNizC1CpxSmmExL2U2qC2zAgpplaB9FWbaaw32j5tz1s1Ro6m4EPbP2xMFL3YO8CpWMn0thNUgZz6PAj0olRslOKlLgsVm1SXGp11CITp5SxU7qauWtV4bUDu7mD/UkPFyKmuBRvI/hNmFFxu7jo3UGu+SYT9FeVDuJxw0cq+SWTl9hqpVYBmDHTSu1QFH+K1iwUPJR3/MKsbN02lnm5LHuo+o8E8sFLsYP9SB6hX8cs/S6WRU2ajiNPLoV5UQStJlaXRMAcH5HORqAgwlTm2q1p1iEEW0in0Gjk9Gp1i85bfg+l0iu/7mrdfL6DxKcYgzRxIa8CZeg4005f7A7obNxUrmRGJgVWNXLpLXRZsaFKnVjUu1YDEyG2gMdC+3FPZcmkYtVOdi04jlwNQ95i0q5HTo5Ap9VE6HmqAZACZ4hBvtHyIGERl4+rxEyRk5GzYDeg0KQfCQE4ulkj3HCkYOcKqVRWQC/01Di96jdzophVTp5d1rTe6foI2g9mw/zRNQK9bubtC1G/VZmrVMXI5AJe4V6/c3q42iDK1quKhBtAEMvL42Uyr6aR0xsj0IHobt3xbpRwDK95ZI13sQH2pUyx2IA5mG1pMDNEYpGTkbPVaBSgrd/XWwkQWmNkSrdTCMXIbGFybt44mhE4LYE8Xo/P+AZpARpcNBMLgl+IACzctdf+wtg80U2xcusG83K6uRhjQK/VaJW7RpctKUhtD2wlm02qj7PXcpU4vq6xDYGOll3XmIEBbtdpu+4Gpr56XXjq5jWPkcoCgLY/N1GqJ6PYViLz1buEUY6BTai//fJqNS9w+VdlAgNZDLM0NHEgX0OvewD3PI2Wn0+nDLDHTEitLohMM5kHy5yArfNLWStpPK5bI9WGKl7oMBLNjRGyUjjk5IFWtEhfAmd4PZKmOY+Q2MKitN/RuHnZ95IJUAoEhsI6jP0Cjj9LZMAUoDzAdM1Z5g0szBrpzAJDXAiUrqaELorrQaBY7AOmLTjrPYTOY1bvUsbUps5Ba1bF/AWjXAWDXfiQ1M0twsZXXkml2urfvsmPkNixIWQiLN49mqx0Eker6MPpiB11GLs0Y6L42QJxe1mACqFq16Qr9AeK1kKJyl46R00snAcTMrI5GzpqPXHbsmKwVfBB76aVLrdLIbZSDWcL0snYBHAE7LS51BS9cW1mGC+Q0wZFSA8wv2l6hv71buC4rRnEDTaOFsB3EeJ5HE8xqppMAWlZSp8cjnTG23jwoSu3qaOaBOjNbIRuDlF56xFKTpJ6S8s+mTS+n7bVKoRXVfQ7bhT8cBMdYqaDU+5gioJf3ApXXtgUXyGmCtGJT8+ZBMmEbekEkQDsGOn0+AdkzKI0+TJ+Ro2war/scFYpgtqGXTgJ4KndVil6oKnd1Dy9Atl2wqxO00XcZ6PUTpECaYgfbQn+KddDjbWnBGDrQyClWL4dnAp3MQuVSB8gBvf4zjFLFKuACOW1wsVEq0T9FS5pacHB6KCoK/auUNHpLL5AI2Sj9Z9BtyQPwBPSqgQQFI6WbTgIkraSlIIasalXTPwygtV1IZ0Vkt4K93myj1aYr+LBhP6Ir9Ke81MkXU9NdTuSKTWULFo5zUflyT3cujoI+DnCBnDaqDCyE6oSlSSvqiZsB2cmcUOSuaT/SSJFO0Q2gAOJiB+2Ny256mbJZeE1LH0arC6rqjAFHit0KG5W+4IOk04vNrgYZsGDR9bakOBN6XtuiKXJa3XSaeeAYuZyAsjpHt0ExxQGWhomh1MWEzKDeGNTS6MMyVuygYjsB0Bhgpkkrhj5qBEyEzapVzSAGoPWS09NGEVewKwaz8rwhXQtWWEldfRh9EAOYD+jT+GqSrgPNLE1wJli62NqAC+Q0wWG5oFodQ6mRS6MLoum1qqmRI/DS000jALReerptcShNkdMEMbTBrEYg10rX75WClaRgY3SYWfL2VIpzsFDwgt9JOwZtqd2bUhDTff00xthAimIHhorNUkGz002ais0e6w17rKS+JVV6gsMxcjmB7Y0boNIC6LXkAbKhh6CwYNEV9gK0jbJ1K0epq7RUMU5ou5BG6A+kZKczcqmx2tUgTcEHUSCjW8VPppHTzJCIvaDR8q0FkxTFDvJ5pFqxSakTtJladYxcTkCaWk1rvWFL5E56gKcrdkjDROiwQAKUDdN1x4BC7K/LBgI8Ab2O9QZAlF62nFqtaVwsyD3UUlxq0q6F9L6a+sGszAbqdvgA0lfv6qcV08ssdKtFAaYLjZVgVn8vsIHReMoMQi41T9uWJ2xPpdjnkoRGT2+5QOoZpFzsQKAP03T0B2g3Lm1mliKQI5gHtrVRgP2CD1trgcp2gkQzm5aRS6sPIxL6616ogPRrQVszTMJGpdgPLa8DgKbbTxp23gZG4ykzCPn2lbYtT9q0Io1GLkW1IkmvVXVNDEATxOiY0ApwCJx1U6s0zGxGTJEVCj6KhdA6x5YFi/X0MlmxA0XRC00gVy565o1gJTZRr+9wdx4QjYEVg/Q0XV66v9Nq+2TVw1bkNprpdVsYjafMIKrSB5x60WoGEqRagBRslE2dIKVGLk1a0aaPHA0jlybFbr/wh8SCJeh1q28/Qumlp2M70Wj56Qo+UrVqo7nUaFsRUfhqdlOantfb/i4pxFqopbTi0d4LCLv9aO2HY9K5SMRK6u6HFJW7OnIbGxiNp8wgSsVC8CFTpRJs6CEobuBZELbaDmKoW9KogKRVW5p0CiEbpR/Qez2/n+a1tTRyY3SdHXQMquWfJWFmLV7sGlbXQXiA67RmGiey4km7F9D0XVafA2PFAkT8m/ZSY9df1TFyuQGV2D99atWO5QKlTlCnNZP88yS3r1T6sPTBbFBwoOgjFwazabpbpJ8HFD0mdQ+wsaBikIKRSzEPUjIxzVYbojGCjkYOSLsf2NdK2mTn01zqALlVma1gNj0rqVtoAXTSy1QBfWqTeEvnog24QC4FqAxxa9qiToIDPI3lAqFOUHfjIqnYTBPIcbRmUmRDKoS3cNu9VsU8UJ2PlPMgTWqViokB1OZBjwWL5hjIrZnSBPRUVas2NMPhpU7vAKfWCepqhm15iwL254HsK6n92o6Ryw+obqABG2VBD5HKcoFSJ5hS6G+NlSwRBnIWDTDTMDFi3GiteBS7W5DIDCh0gnYqNosFL0hp6R7iHX1d5/9TWbDYZmIsySwAOp1g2nZ9FIbAumwU1TxIy8ymql52gVx+YHvjoqhUS7NoZZ1g2lSCtv1Id6GlYQRTpVbHKPVh6bz0aFrSpGEl7Wsl0x3i9m1oxPsveJ31pYK0qUVZoK83D7prgUwbpdeqjkIjpxvIkacVVYMYSqG/7hgQZapsXuqC9LIrdtj4IJ+wFkWduhtXhbjc3kqbsqb+oqVko3Q/C/udHWiCmHbbR7OdrlWbbs/dVgojWEBq1WaJhQDSM/Q1TTZQgIqdprCd0NXspg1iQr0oUVpRt/e0JU9JQGIliSp3rXR2EOllZwi88UFdpWXlAE8h8AYIb6ApTZFt9RkVwXyt2Ua7TVPwYaNyN12vVZp0Uhoz1rTpFHnstFKrJeKUmkYglZaNkS8SWhWbxC26xjQvdQCCC4Eq0gYx1hk5kraNNKxk6qpVzaILivRymm4/NjAaT5lRkKVTdEWdlPowjZY8AOHmra0JoajS0l+049K4pbkF+76fYh4Q9ty12OEjDSM0Zj2tKMYgJROTQmyf1tE+7aWOXGqiuR8C+mshLSNXofbSs9KeioaVpJoHugSHLjuf5rVtYTSeMqOg1wLYTKmlvH2RHWDmK5RCGl2/Ug9It3H1CM217UfsCv0pWzMpGwKnHAPx/osFT1mbBtBf6nQ+h7T7QdpLXTgPbKUVwzmjy8akFfpbt94IWFl7xQ7UZ4JyIEegl3XFDjnCONHGldYE1ZYhMBBu+lTdLXTTKRQtunQYuWLBCws+UmzeurYTAFEgl8rRP9y40/gJyp+DamovLRMRevilYyGomBhdM1YgvUYu/aXODhtVlDox6O6JVBo52xYsFNYb1pnZ1Jkqe6ykaYzGU2YU1E2ibVQopTnAATpXf10fubQpNYBi40o/Brq2E0D6zbvjH5YitUrkJ9hIsXmmDWaFHkdX3Gw7rQgQMHJp9bJj1GlFtT3J87z0AX1KbRR5MJsiS6N7qdKtnhewPQYUrdrqKVlJ03CBXAqQa+S0fZMoNHIZEfeqlppTBLOpq7TSzwPxDKWCh4Jij8e0QUyz7QfdBPS89MJxo2Al0wRyuoHkWkpGjkxmkcJVX9hv6OsE0x1eVaIK7jQMeVqxfxDMagf0xEUvmhdb309T8JHyck9llG/TzcEVO+QHdC7eepu3besNIAvFDnQVm2l9k1IFMSlYwbTzoKdiU+MAKxULwQFKwUrqHeDp0oq6XTUEqlIgmaZ6OU2KN60hbtpLnbBgsWU7AaS/2KWtVqRiZrVbdJUknWBOCz7CDAVBz12XWt34GCdqlK1Po9O52afXhNDcvnRF7iSNsnXHIGAi7ASTQXuqlEwMkOIAI2BjUnmopU2tpggiAbr0chpWksoQOLX1hqUuL4DMxmiyUSla1QEMLbo0gxiAouDDcpYmpUk8CcHhArmND9v2I5S9BVO3Y0nZYzK1Ro6kYlNzDAgYOQojWP2Kzc5zl4vqaV2BKkF3hzTBbKiV1PsMwvFPl1YE0h1gaQ7RtAdYWr0stdBf9VIHpBe6h1XDKSs2U+xH8nOoBjGlggdRJ6Qd0KdML9v20qPM0jj7kRzA+oTNABtFffvSLTW32SCZouAjTSCXNpWQ9gAHiAo+UqS10q6FtBt3oeAFz0CRYk9V7GCZibGVUgPSa+TIqlYtsZKe56WXWqQt+BAm6ZYsqSgJDsfI5QBVMoFzty2RZoVSq+2jlVLYmp0KJUUPNen2pV+lZT+9nIYZpfJQS3P7FPOgRjAGZQusJMXGTXGpITEETpta1TUHJ0+p6YyB5fSyqNy1qBOksuLR9hMs2b3cizFrtn1tvWoaP0cbSPWUjUYDjz32GB544AEcO3aM6plGBrYZuR4DzJT6KNvFDuL5ZbFuEsjPrVOlJXdUsMlEpKvUS7lxpzy8ANogppJiDHT1aaRjkOJiZ3cepBX6h6xsKj9BAlaymZKZTa+XtSO3AdJ3+Ei7H5IRHLpOBvK52E4XzOpcJmxA+ZNaXFzEhz70IbzwhS/EzMwMTj31VJx99tnYvn07TjnlFFx11VW46667OJ41c6Bjo9JVrQJpUgnp9BBisac5wNtSw3JdYSugt3Gl6e8pQFGpJpgsm0J/3Ru4/LupNHIprDfS6sMoNDEikKmlYGOywcSkO8B9357UgbLfrA6oKndrmkEMQMdKWpfbEBR8pA5mNdeCaSg95fvf/36ceuqp+MQnPoFLL70Un/3sZ7Fv3z58//vfx+233463v/3taDabeMlLXoLLL78cDz74INdzZwKCRrflYN0byKWjkG36Z6Vrlp6OlSSp2CQJYlKI3C0zMQDN5i20XXYMgdOnVikKf9Iwg2ktWKiqVgFgzVIFd9q+w6nNwQkq2OXnSGcMnVYzm46ZtW1JBeiNgSxVGhUfuZLKD9911134yle+gmc+85kDv/+85z0Pv/zLv4wPfehDuOmmm/Af//EfePrTn07yoFkEeam54qQpFjwUCx5abV9r4/J9P/XGRZJSSxHIlYoFFDyg7WsycrKHms0xsGi9UUvJygI0xQ5pTDjHUjeMJwhmCTq9pGOjUo5ByurtcrEQ7EerjRZmUdb6d4JLTYr0sm7hD5WnZBqtqPwcOpW7lbTsdAakJoC+drlQ8FAqeGhqnos9XXZGRCOnFMj91V/9VfD/F198MW6++WbMzMys+7lqtYpf+7VfS/90GUcW+iuWi52NU2fzlh39bRY7yAam5YLe5l1rtrVSCXIQrdrfUyAIYtKwkgS2E2mDmKwUO1hJraa0nQBCNmZUjaGpdIJLtWYGKnftBLMUFxqAxk9QewyIbGjSjIGsXdbVizbbLa09UZZGjEogp/2Ud9xxB9bW1tZ9fWFhAb/927+d6qFGBeMEKTVAvn2Z3bx72ai0Hmrp04q6PmZpAhnSis0Uuph09iN2WzMBRCl2ClYybXo5zTygYORSsZJ2NXIAzSFuaz+UXzvtxVaXDep/Dq2APnWrNqqWhenPBMD8nijGvuB1fPlGAcoj9LM/+7N473vfC8/zcPjw4XXfX15exh/8wR+QPFzWISZsvdXWtv8Qvw+kFTirvz4FhUxRap7WVZ9iDEgOcBJGLoX9iGajbAomRjx3GpE3BRNj036EQhtE4Seor5GjCOgJU+xaAX3KXqspWxZWZZ1gmiwFhQWLpbVAKTEAdLMUnWdIo5seK+lnaUxDKbUKACeffDL++Z//Gb7v47zzzsPWrVtx3nnn4bzzzsP555+PBx54ALt37+Z41sxhvG/RTlaUh7O3YtNwOkUEkEJrpwPbTIz8e2k0cmkOcJqKzfRMjO93hLolRV1NWLVKEcymGQP9QzTs7GAvrUjpJ2iHlSQYA8L0shVz7JRrQR67tUYb01Wtf8ZusUPKgF6ci/Vmh+DQOVt6SIYUmlkdc+y0BYA2oPyk73//+/HVr34VpVIJd9xxBz7ykY/gR3/0R/HQQw/h7W9/O/7iL/4C73vf+zietQc33HADTj31VFSrVVx00UW48847I3/+7/7u73DWWWehWq3i2c9+Nv71X/819TP0Llq9jUv2uUklcNa5eVAIvAk91HRSKfLvaY1BRjzUKOxHAN0xSD8PSJlZixYsJIbAqapW7bGSJDIDAl/JRkptlPxvqCLtIe55Hgkza8uGptX2Az9OkuplzTEQn0OpoCe3CTv+qL9+2G93NDzkAA1GTmB5eRnlcqcq6RWveAXZAyXB3/zN3+Caa67BjTfeiIsuuggf/OAHcdlll+GBBx7Ajh071v381772Nfz8z/88rr/+evzUT/0UPv3pT+OVr3wlvvGNb+BZz3qW9nMUCh4qpY7QXvcAS3vzSCNsFZM8FRNjmYWQf88WI0dZsZnGfgTovJ+JMcXXJkypkRQ7WNCH0cwDuzKDtO2p0jr6AzQWLFaLHQjGYLxcxFqjnS7Fniq9rH+xpZDb9BMcOpmqtOsxvNToM3Kj0tUBSFHsIII4G3j/+9+Pq666Cq9//etxzjnn4MYbb8TExAQ+/vGPD/z5P/qjP8Lll1+O3/qt38LZZ5+Nd73rXXjOc56D//N//k/qZ0kr7ExPIevT6CRMDIGbO9Wi1dJDEPiH2a7YLKZslJ22STZAa0Njx4KFIJilbNWmEUikrdzNWnpZ71KT0keOIK2WNqCXbaFMB/RywVaavsNpjeJTX+4JigBHKZBTCpX379+Pk08+OfHPP/HEEzjhhBOUHyoK9Xod99xzD6699loAnUm/tLSEH//xH8dXvvIV/Lf/9t/W/c5tt92Gq6++GgsLC8HXLrnkEvzzP/9zz9dk1Go11Gq14O+Li4sAsO7ny601tGs1HDl2HDuq6pPm6Pwq2rUVlIselpYWlX8f9c7vz83PY2FBjYo5dnwO7doKCuPtoeMQ+/JrDbRrK2gDOHJ8TusgPD4/33mORkHrObxGZwyOz81jYaGi9LvHjovXHtMeg/baCtq1FSwuetr/xuLCQmccayta/0axuYZ6s42jx+ZQ9SeUfne++9p+Xe+1AaAVPPt8ijFYRLu2glZtWfnfqK8uoV1bwcpSS+v1lxYXtF87QKMzBvPz+mOwvNQZg8aq+nM0VpfRrq1gaXFRbwy6r91c0x+DYrMzBsfm5rCwMKP1b6wuL6Jda6C+uoSFBbW0WjAPNcdgdWkR7VoTtdUl6E6DzpmwgiPH5rAwox4M1JtttGsrAIC1lSUs+LWY3+iFL8ZAYx4eXeg8e8EDVpaXlH5Xxlh7Dau1Jp46dhwzxaby7x/t7sulMc19OcWZcHyueyY09c4jDkxPT0cXXvgK2LFjh/+GN7zBv/POO4f+zNzcnP/hD3/Yf+Yzn+n/0R/9kco/nwhPPPGED8D/2te+5vu+78/Pz/sA3B/3x/1xf9wf98f9cX823J/5+fnIuEiJkXvZy16GqakpvPjFL0a1WsWFF16IPXv2oFqt4vjx4/je976H7373u3jOc56D973vfXjpS1+q8s9rYXp6GvPz8/jd3/1d3HbbbfjiF7+47me2bt2KG2+8Ea9+9auDr33kIx/Be9/7Xjz88MMD/91+Ru7AgQN43vOeh+9973s9LOPP/Olt+P6hJXz4ygtx8dO2KT//w4cX8YobvoZN4yV89W0vUv791338Ttz96HH8wavPxeXPUqsWvu2hI/ivf34Pztw1jb//9YuVX1vg/Hf8O5ptH198ywuxY0a9TOvz3zuIN//Nt3DBSZvw5796kfLvv+5jd+Du/fN4+8vOwKuf9zSl3/3MNx7H7/7jd/GjZ2zFn/2X5yq/NgDcf2ABP3vj7dg2NYZbf+sntP6Nt/7dt/Cv3zmIt15+Jq7ce6ry7//4738Rx1Ya+Mx/uxhP3zmt9Lu/90/fxf+953Fc/RNn4NcuURs/gS/efxj//a++iWefMIu/esPzg68vLCzgpJNOwmOPPTbQPFzGb/71N3DLfU/hd3/qbLzmR5Iz/wDwgyNL+E9/chumq0Xcfu2lys//q5+8C3f84Bh+/1XPxsvO3aP8+wDwN3fvx7s+dx9edPZ2/NHPPUfr3/jpG27Dg4eX8NErn4vnP22r0u/+y7efxG///b246LQt+NjrfiTR78ifz6s//k08cXwNf/Grz8P5J23WeXy8/R+/g7//xhP4jZ88A//1hXpz6YJ3fh6NVhv//uYfx55N40q/+3+++BBu/PLD+PnnnYT/+bJzlH7X932c945/R9sHvvSWF2K7xl4GAK/9yB341uPz+ODPnY9Lz96p/PvHluv48fd9CQDw2Adfg8ce2x+7dmRc99nv4B+++QT++4vOwBt+XO0zePipRbzi/3wNs+Ml3KZxHgm87I//A48eXcEnf/lHcOEpW5R//65HjuH1N92F07ZN4HO/8WPKv59mPX/+uwfx5r/9Fp5z8iZ86lcGn0cq+xoFpqej93SlQO4v/uIv8Nhjj+Fd73oXtm/fjt27d+PIkSNYXV3Ftm3b8NrXvhaXXXZZqgKCOGzbtg3FYhGHDh0C0KkSmpmZwdzcHE444YSBg7p7924sLi72fG9hYQF79uxR/hCmp6d7fmdqegaFuTaKlUmtD7S86KNQmUB1sqL1+5PT0yhUaiiPq79+ubqKQmUCE1PTqSbj5NQ0FmtNlKqTmJmZVP79UnURhcoEJqf1nmNiagqFSgNj1Snl3y+NT6JQmcD09Iz2GGyrFVCoTKBRKOmP49gECpUJzM7Oav0b1clpFFprqEyojwHGxruvnWIMNtdRqEygVaoO/DdmZhL822X9MdjaLHVfv6D1HvxyZww2aY4/AGzdtKn7DBPa/0arVEWh0sbmzerPsWl2GYXKBDA2rvy7MzMzaBXHUagUsHXzJu3nn52dRaFyXOsZgE4w1SpVUSih8xzTammxmZlpFCqdeaT6+o1Wu7MOAWzbshkzE3o68OmZGRQqDRQ1ngEAVvw1FCoT6Ejd/GRrR8JUdwx0zqSxpc55NK55HgXPMD2DwhL0z8XxWvds0tuTJqamUaisoTyucyYkP49UPxsuKAVye/bswb59+3DZZZdhdXUV/+t//a+BVaKcGBsbw4UXXohbbrkFr3zlKwEA7XYbt9xyC66++uqBv7N3717ccssteNOb3hR87fOf/zz27t2b+nnSirzTNusOq7R87dfW6Wkoo1IuYrHWtC5stVW1GlgupOrs0BWa65oid5+/pjEGFLYTFJW7aarFQqG/+joAaKtW1yg8FS30GaXt8JGu2ADQ+yxKaaoViXpspi16CTpb2Cj+IvCUBIDxlBYsdFWrduyYTEPpSd/ylrfg5S9/OX7sx34MnufhL//yL3HXXXdhdXWV6/kG4pprrsFHPvIRfPKTn8R9992HX//1X8fy8jJe//rXAwCuvPLKoBgCAH7zN38TN998M/7wD/8Q999/P37v934Pd99999DATwVpPYPST9gUPnLCxTxldU5aN3dx+Or7yKWp0qKrVmy0fDTT9vrU3EBTtSkjtJ0gsaFJUb3davtaXVZIq1bTdLdIMQ/Ewa/fZ5TQEFhzDORA3HS/WapALrRg0b3cp+sukaZ6OW2fVYG0lbtpSYY0VasU7fpMQ4mR+43f+A288IUvxOc+9zncdtttuOGGG/Bbv/Vb8DwPZ5xxRtDd4bzzzsMVV1zB9cx4zWteg6eeegrXXXcdDh48iPPPPx8333wzdu7s6BH279+PgtR8/eKLL8anP/1p/M7v/A7+x//4H3j605+Oz372s0op4Eql0vNfgbQGmGnMLwGajSttmfV4SiainjKgrI51pnHbU998KJkYAFhrtjGl8VmmbVOW7hZOYIo8pMNHpVLB29/+9nXrZhBS9diUTZGb7eB5koLURy4FI5eGDdC50IjPZ2xsjISNEZc6/b0grR1T+ktdKUWnG0C61BAYMyddOzJStSwk6mpAxUqm9RZNdy4O30NU9jUTUHbqO/fcc3Huuefipptuwu23347JyUl8+9vfxr59+7Bv3z784z/+I97znvcEdh1cuPrqq4cyarfeeuu6r7361a/uKXZQxbBALm1LmrTBFIVfTmpGLiUTkfb2Ve16GvqefgCVrs9o+Lur9RamLBhgUpgip7mFDzu8KpUKfu/3fi/Rv5HmJtxjitxqYxxq74XiFk6SXjbs6C8+n3qzDWEDScFKppVZaDv6Z2A/DOaBZjAbtmws4vd+5/eUfz9VpxsCT0kAqKZs3UiVqdKRmiR5bZV9zQS0Ozs8+OCDwf9fdNFFuOiisLrD1zSGHUVU02pCyMxw9dNJaTeuSko3d6ogRk8flp6N8jwP4+UiVhst7YA+7WdBwURQtClL01+xkUIvWpb6y6bRxdC0p9JbB77vk5gi6+0F6Y1gAbnvsGVtVIoxIMtQ6F5sU87FNPowKkYuTLFrspIZyFSNUmqV5Ukjjes2GNJqQlIXO4heqxYXbfqCj7QaOfuLlkorqcuGpGnLQ8lGAen7K+o8h+d5YdGL1jxIrxdNm05qtPyQFSuqz4N0PYfD37HZdzjQh2nvh/o6QaqLbRDQW2ajUmnkUuhlAUk3bWkMUukExV6wUYsdHNYj7YRNWyGTShsVLFrLgZzNtGJGgtm0h0i6Ki06kTtAwMakFXlbmgdUAm8gXZ/RVJV6pUKqi3i4DtLpw3QvdWmY6bSXaoHUbRtTBrPpghhi3bT1Fl361ctpz0WTGJ0nzSjEAVZLSaNb6SkXHF5pb1/peo2mHwOKGyjN5m0roE/DRlHcwin7K2rrRTVZSd/3SYT+Yg602r6VqslUlXoNmrSiGIPUe4HNi63tik2qvUDLgoXIySArKfYUl7q0tlwmMTpPahE33HBDUOH6kz/5k7jzzjuD7w2r1kuKcMLqbR5pNHJ0aUUz5fZf+cpX8PKXvxx79uyB53n47Gc/2/k9SSN33XXXYffu3RgfH8ell17ao+UchLRaDIG0lWpiA7ViP0JwC7/++utRX10GAFz4vOfjla98JR544IGen1lbW8Mb3/hGbN26FVNTU3jVq14VGHvLz57aikdxDJrtdClNgXEpENY5xGWhv47GUMgs+oOYD33oQzj33HMD89K9e/fi//2//xd8f21tDW9/57sBAPNHj6z7XFSQ1oqISh9ms2Izjczive99L171n3+u8xzdMYhbN/0g8ZGj0k1rZyjSpTfTyAzEHPyPr9wKz/N6/px11lnBz6l+LpxwgVwM/uZv/gbXXHMN3va2twEAnvWsZ+Gyyy7D4cOHAcjiXl0aXaQS9NIZFBOWrEpLVxvUFFVa0c+xvLyM8847DzfccEPP18UYfPNb38Yf//Ef48Ybb8TXv/51TE5O4rLLLsPa2trQf1PcwnUDaYHUAX3KQyRd9XJ6NubLX/4ypsbHAAAf+vDH0Gg08JKXvATLy8vBz7z5zW/G5z73Ofzd3/0dvvzlL+PJJ5/Ez/zMz4TPkTK1pcvIUfmHlYseRPylo4+iLHySC85OPPFEvPe978U999yDu+++Gz/5kz+JV7ziFfjud78LoPO5fPmrtwEAdm7fsu5zUUHaS11YsWmDkaOp2NSVWdx11134sz/7M5x86ukAwjGIWzf9KJOkVlPuhylT7FTsfBqtZBE+nvnMZ+LAgQPBn69+9avBz6l+LpxwgVwM3v/+9+Oqq67CL/7iLwIAPvjBD2JiYgIf//jHAdDpw7RvoOIWbkkbBRB2t4gJYq644gq8+93vxk//9E/3fF0s2vseeBC/8zu/g1e84hU499xz8alPfQpPPvlkwNxFvXb6lJJgBdXHwPd9urRiGkYuRWr15ptvxtbZTj/Ak097Gm666Sbs378f99xzDwBgfn4eH/vYx/D+978fP/mTP4kLL7wQn/jEJ/C1r30Nd9xxB9ptP7UxtG6HjxpRICeqlwG9i11qob80bjIj9fKXvxwvfelL8fSnPx3PeMYz8J73vAdTU1O44447gs/ljf/9zQCA6cnxns9FFel1gmn1YQQaOSJ2vqYwB5aWlvDa174WH/nIRzAxNQOg83nGrZtBGNNkpuXfSX0mUF1sLRjl14NAro1SqYRdu3YFf7Zt6/RT1/lcOOECuQjU63Xcc889uPTSsAl3oVDApZdeittvvx1A+mrFtIbAFD5ydMLWdLev1PYj9WbPZzU7O4uLLroo+KwGvzatJkRn42q2fYhmBKZtF2R9GNUBttpoYX5+HgCwZcsWAMA999yDRqPR8/mcddZZOPnkk3H77benFvoD+mxM2pSmjOAA09gPqHSSwPAxaLVa+Ou//mssLy9j7969wefy7PMvANBhYuTPRRXjGkGMDDqNnD2pic7F9o1vfCNe9rKX4dJLL4VfKAbPEbduBsG2OTiQ7mILEBY+pWAli2jjwQcfxJ49e3D66afjta99Lfbv3w8gfj8zDW0fuTzgyJEjaLVaQccIgZ07d+L+++8HYF/UmcY7iqpKK213C6qKTZTKAz+rgwcPsr22QBpNiHxzTm0/ongLlwMoqoKPlVoTb3rbm/CjP/qjgbb04MGDGBsbw6ZNm3p+R3w+PYGc5uZd0R0DQt8o8fmlCuRSshDA+gPs3nvvxd69e7G2toapqSl85jOfwTnnnIN9+/ZhbGwM5cpE9/k7rx23boYh8BNstdFstYPep0lBVr1tMa1YUbzc//Vf/zW+8Y1v4K677gIA+N0ONZViIXbdDEIaLz3qy701+5E0BR/dufP0p52Om266CWeeeSYOHDiAd7zjHfixH/sxfOc739H6XDjhArmUSFtqbnPjSnvrEaikLnZI9xxi0/GK+h0VbLKSFBot3UCOyj8MCMfgTz/8UXznO9/p0ZPEQZYGpL2Fq48BDSsLpLvUpD28igUPngf4/vr94Mwzz8S+ffswPz+P//t//y9+6Zd+CV/+8peD79MxMena1dHpBO1nKJIE84899hh+8zd/E5///OdRrVYBoIeRg8aWSsFGkRXA6V7uU6dW02sln/uc8/Hy8/YA6HS0uuiii3DKKafgb//2bzE+Pq71XFxwqdUIbNu2DcVicV0lyqFDh7Br1y4AdN5RuhYgJBVK1n3kaLRBXrEc+VkNfm176RSBgMpPkdrTnQdyCiy1l143iPnmt76DL33pSzjxxBOD7+3atQv1eh1zc3M9vyM+H7noR6c1U+d39S41VJV6QLp5kNYU2vO8oanFsbExnHHGGbjwwgtx/fXX47zzzsMf/dEfBZ/L8fmlzmt3nz9u3QyDPIZawSyV1CSFZtikj9w999yDw4cP4znPeQ5KpRJKpRJ+uP9xAMBHP3wjdu7cGbluBoGmapWm2MGa/QiBt2j/frBp0yY84xnPwEMPPRS7n5mGC+QiMDY2hgsvvBC33HJL8LV2u41bbrkFe/fuBUDn6G/FxbuZLogUsG4I3N24xqrjPZ/VwsICvv71rwef1SBQbVyBJiTVAa6/HLXTitKmlcYI1vd93PedbwEA/vs1/x9OO+20nu9feOGFKJfLPZ/PAw88gP3792Pv3r0k7HDa9DIFIxfsBxaqVoHkgUy73UatVgs+l29953sAOvNA/lxUUSh4qXqNijEoax/gYj+0n1ZMcia86EUvwr333hv0Kt+3bx92n3ASAOAXf+Hn8NznPjdy3QxCmmCW2pIqtW7ahjH0kDFYWlrCww8/jN27d8fuZ6bhUqsxuOaaa/BLv/RLeOYznwmgU3K8vLyM17/+9QCyE8Q0tMwfqTRy+kEMkJzOX1pawkMPPRT8/ZFHHsG+ffswt1QGAOzYtQfvfvdVePrTn47TTjsNv/u7v4s9e/bgla985dB/00Y6Zd0zpKzUA/QDeioj2De+8Y149MA0xs7cDRTLgU5kdnYW4+PjmJ2dxa/8yq/gmmuuwZYtWzAzM4Pf+I3fwN69e/H85z8fDx5aBEATxCgzco30QaRA6Ceoz0alMSIdKxWAWu88uPbaa3HFFVfg5JNPxuLiIj796U/j1ltvxb/9278Fn8vf/cNn4F34n7GyOI/Xv/6/B5+LDqrlItYa7VTpZd0xkFlZ3/eVLif0QUz8+5+eng50pAKlSifFumfnjth1MwhB20aLxQ5pin4AubtCOs1wmkDu4x/9MLyf+jGccsopePLJJ/H2t78dxWIRP//zP6/1uXDCBXIxeM1rXoOnnnoK73nPewB0RMM333xzIKrXKTWXQdck2v7ti9uC5e6778ZP/MRPBH+/5pprAAD/6ar/D9hyCTZv3Y7f+I3fwBve8AbMzc3hBS94AW6++eZAezLwtana8qQot6eoGhW/W9NMK6b10fvQhz6ELS95I8YAvPu978Nv3fZXAIBPfOITeN3rXgcA+MAHPoBCoYBXvepVqNVquOyyy/Cnf/qnfc+RIpjV9I4KWcl0YwDIPmp21uMg24XDhw/jyiuvxIEDBzA7O4tzzz0X//Zv/4YXv/jFADqfyyPX3oD7Adzy7zfj4l27gs9FB+PlIubQ0GJjGkTaKKBTDa7iz0ndnqrZ7fChbKdT6BzLYgyi1s0gULRqo5LbpO67nDKgr6UYg6OHD+Hnf/7ncfToUWzfvh0veMELcMcdd2D79u0A1D8XTrhALgGuvvpqXHnllZidncUXv/hFzMzMBN+Tq7RabV9Z4xROWE1dUCphK01zYCqdYNwGeskll/QYnQrc8+gxvOpDHQuLd77znXjnO9+Z+LXJWhOV9Ds72AxiqA4v3/fxrn/+Hj721Ufwtv95Hd52xafX/Uy1WsUNN9ywztAZoAmoK5qXGsqq1XRaSQpmdr1G7mMf+1jk71SrVVzxsv+E+7/wffzy667E//rpZ2u/PkCjE0yboQCgHETRVbD36gRVA7nLX/pT+Lt7Hg+eI2rdDEKaPqNUcpuKZBKvyowClB0+9C9Uv/+/3o1nffJPhv6c6ufCCaeRS4meKi0LG1cajVwQQFEVO2iwEICsh9Ck0bu/l6pZukUDTIr0rn5akcbNHkh3Cw+0USkuFbpMBGnVKsEYUDCzumNAUfCRxoonbcu8HgsWRbkJWRBTKkDELXpSi5T6MJLODjRngu/rsWIbwZbLJEbnSTMKecKnuoFqBzEpJiyR/UhoAmqrQklPEyJ3E7DZXzFtv93O7+oe4JRpRYIxoCh2UFwLVDpJIN0YUKS1tKuXCefBOMla0BsDYcEC6DOzaS81nucFDL2O5IaKjWq2fbTbmmuByFMSSFm9nFY7btGWyyRG50kzikLBCxacjQmbRg9B3o7FcsFHOjNce+X2FCkd3Y2LNoihsN4gCOQ0DYFJxiANM0vQIkr3UkPJyNn00uu1YNGsXiY4wNPsiWnZ6R5Wsq3JTqccg3KxEDxHGm/NtBo5PZ0gHUNvCqPzpBmGzY2LwjMotdC/1CvuNf0caf3DALs6QZtBDNUcANI1TE8rcgf0N2/KVMp4mqpVkmIHTa1kg4aJAcL9II3MwMalhlJmUM3A5R7Q2A+CeUDA0Gegy0maLA3FpcYURudJM4xA6K7VKDutHiK9X05qD7Ux/fSy7/tknR10dUEAlKrbBkHFcqAfwn4kzcah25aHlIkJghg7WkVdbVBweG2IqlU9qQVpij3NxZaAFStp6oYpGTmSKnaCQE51HmRlDNKaxOvuBRQ9n21gdJ40w6Cg0dMzcmoLtt320ezqJ9JO2LFiAaJYV3Xzpuj1Kcag7QMtBU2IzISlMcMFaFp00Zjhqo0/rUauOwaWLFjSmiKTpNRGNMXOEdCvplkLJMysnj6MhJ1OwUal3Q/kDjE2WclU7DRRh480chsXyOUMqTRyRMJWZWEv4YT1PC9ctIpMRJ0gvSk/v8rCJd24CVp0UbBRVqtWu8ysvbSi5uHFYD9iwwwX0E8pUbYpq0rWE6poEATV+sEsYcHHmP7FjkJmoF+9zFD4Y6GSX/dyT9my0CRG50kzjFTWE4TNgQd5rA0D9YTVZSUpArkeTYjC5k1bqUdwgJO0ZtJNqdnVyJFU7mqbIlNab+gHMWnd7IH0PXcptFFpqthJPBV1U6sZqV62danpkblY9FRsttoQsVfa1CqgNgby+0+bpTEJF8gRII0ZbNoKJXF4+ao3j64uy/PS68OAMBhSDuRImqWHv6fDyNFUK4YHuEpADdhl5Kh0kgBNe6p06eWuObdm1WqS8X/zm9+Mn/mZnxn6/XSt2iiqVjWLHVhSq3YLPqxW7qbSzNIVP6lIbhotH2LrItWLppDbkBR8qARyBKy4DYzW02YUAY1uoUpL2A0AaotW1mFQ3Dx0WUmKPpee52mlU2ibpYcGmLppLSvVioTBbBpj6HAd6M/FtExMkvG/88478dznPnfo99Ok1CiCmEpR/QAHiJlZ2xYsmmNAKbVIY4qc1lsU0Kvg7tErk9rQ6LHDAI0xtC25jUmM1tNmFAGNrshEUFRspr15UE1YXWErVTClY78RVivSBTGAvk4wzS1YvH+bacVUlbukBR/02qh6vY5yuYyvfe1r+J//83/C87yBzbHTjAFlQK+vkaOznUiTobDSc5dFK2m54ENFaiLNWZKq1ZRZmoIHlDSfo+MnqH6xG0UPOcAFciTQ1QbJN0bdiVMqyIycjj6MOJBTHAOq1J7OohW2HxSLtlwsBJ+Frk6QShOjpJVkYOR0ghgKgbd21WqC8S+VSrjtttsAAPv27cOBAwdw8803r/u58TQ6QUJDYO2qVZKiF9s+cumKXii7nNhLL+sEMeH805W5yNDNVFEF1Dq6YUq5jUmUbD/ARkBV8/ZFQWWLtGK91VYLYgg3LUBf5E1VMRgwUjo0OpEeolouYqnW1LBgSe+mXimGqd1m20+se+QQuQtjaNMNy7Ud/RO8dqFQwJNPPomtW7fivPPOG/pzaXSCghGxYYrMwU7b8pHTruRnYOS0Cj4IzbF1zgQqNkqXnaawIgK6zGy9FeyvSeBSqzmGrriXomITkG5fKjcP4sbAaccg7XPobFwUvS1l6Ip7A50ggbgZUEwvM1RsAvp+gml0QTrBfOfnk43BN7/5zcggDpCYmBSMHEn1cgbYKFsVm+lT7HQyAy2DdEJPRZtZGl1WkqKCHdDzE6QIom1gtJ42o9DduMSELRX0KzaBUBOipZEjYqN0ha1UZqxaGjlyRk5z4yI4wHv6K2oUfJAEcqVC0LDcRkA/psvEJByDffv2xQZyARPTbGs3LLfT2YFeK5nKR87wGFBbb+iyUT1yGwpWUiWIIZwDQIrLPdGepHOpoSi+s4HRetqMQjeVYJeNohV16o4BRToJkBetuj7M9hhQ6DJKUncNnYIPijHwPC8UumsWfJCI3HVTajGb97333ovzzz8/8mfEhQZQZwZtidx93ydlp9PYj1BcrnS6nFA7+ofBrL7cZtRTq7oFH2QaOY39IAwiaSRHpuACOQLo3r6oxPZa1hvkNLqewJm8alVDD0G1aMc1e0xSBZRalWpcY6BavUzJyOmm1GKCmHa7jQceeABPPvkk5ufnB/5MVRpHK8ysKHZQGAMu/7CapYrNNJc6wK5OsEduQ3Cp0clQ2N4PqbJFQZcTZz/ikATa2ijiCatVoUQdyFlgowC9VAK5uLeU7gaadgPVSy8zpVN0A/oU5tS62qikvl3vfve7cdNNN+GEE07Au9/97oE/Uyh4wXNop5fT6ARTsPMArX+Ylj6Msj2VxsVW/v000JXbiM9N7peqA53KXcrK5c6/o7sX0DyHzsV2VAM5V7VKAO2q1ZRdHQSyEMSkLXag0kOosVG06WVdI1Sqz6JSKmARmowc2eadTi9qmolRee1f/MVfxC/+4i/G/nvj5SLqzbYVZlZHH8bFRqmug2ZbYgYNF73IY09ikJ5WbkN0JmilVql002kL4Ih002prwfnI5Ra2g5g0KTW6YgfNA5wotapjAkqeXtZkYoJKKarNW0XgHNhOEKVTUm/e6Q9wm9WKgH7lqjUjWOIgpiIZpKt4GpKlFdNITQitiAD7dkx1jYCe6lKnrZumlppYPBNMYbSeNqMQG7eqZ1AmghgC/zDA/g00TTqFjJXU1chRFXzo6AQJq1aB9J6KVEGMjinyRih60RF4i/lHnV73fT1fRyBd/2edgJ7PQ82O0D+NHRN1Fb+tIsAsaMdNYbSeNqPQZSGozFh19BBUth8CunoIuhuovk6Qmo3SZSVt6ASpgkgBmxXc8u+q9R0mTrFrHOJU+rA0elmqdVCV9jOVeUDRmglIqQ+zzcqSs/P290Pdoh8ySyqL56IpjNbTZhQVzdsXVUonC6JO7WCW+PZlk0a3fQvX0wlSH+KaQn+CDVT+HG3KDHTSalS2EzptiahTy3K7OpW1QG07YZORE+x8TbF6O2BHU6Y3RTCr02uVzCBd11uUjJW0XwRoCqP1tBmF/s2D5haoJ3DmSafYqtjUCmaJb1+2dTE6KXZ6fZg9Rk4uGko6BjITRq0NUgrkiKom0zRLp3r/gOYYZMEcnLiC3TYjZ3M/zEq3H73LvfORyx10tQBU/Q1TiXst68Ns3sKpy+3TF72k2zwqWoxc1sZA/zlky4akY0BVKSlDZy3UqAI5HY0cw+GlU8FN3prJYu/p0E9RUa9JJLcJL3U6r018qdMs+rHS2cExcvlFWiPY9P5hGhq5rPjIETSMB7JRbp9W3Jt641IMZtttP2BxqfVRNoodAPUUe08ARayPUtKHBVZEKdv1aZigUrOygF6K3dY6APgYuZa0xpLAanuqDaqRU9PLukAutxCLttHy0bTAimlRyORpRU1xL6GHmvzvJQF5taIuK0lVvayoi5F/LivMbHpPRcUxYAnk9Nmo1Je6FIbAlIFc0HNWJ7VqpWKTuNhhLPx3VLqcUD2HVnsqJt10s+1beQ4xD9T8BGmIBdMYrafNKOT+ims6k8aGRo6wxyZg13IBSGeESsZGaehimq02Wm3BipllIuQWSnRMhN2AXqTlko6B+LlSSid9GTqsJH0QYz6dJyONTjDtIRpc6iwGMWPFAoQln0pqkU5uo1HsQBzMyilaHZmBjYA+tOUardBotJ42o5Anvs6EtaGRqxFR+ALjmhVK1AaYOr5V1J0ddA5wiudQnQdi4y54CKoM06Kqwcj1WG9QHeKJU6v0Tu42g5h0/XbpxqCSYgxEv1hd6FSwU1cue56nVQBGHdDbFPpXSmEwq1f0QtOyUMlf1dmP5Bee52mlFkMnbRofOb1ye1o9RL3V1kov29DIcRnB2qhWBDQYOWnjpnD0B/TGQGaPTFsOcBiA6rDTdv0U+VKrKkEMXe9pEcyqa6Nss5JUnVaysB/KwWxNZR4QZYu0/AQZ2GkTcIEcEUQ6RcU3iD6taL/YAVBLL1NZP+h5R/GYgOoc4GlNUAF1fRR1xSqQLq0IWEgvM4ib9eYBsczCohEskNJ+xIaPHAMTo2PFQyb0z4AlFWB3HqSxYHGdHXKKsFG0eWGljoM1dUpJnvg6rGRqGj1NdwuLOkHKdIY+I2eXjeJgJWuJg1mOQM5+alVPI8cQzCrsBQ2iLIEWG8U4BmqMHJEhcAaKHQDdwh+iS02wH6oHs65qNacIbl8qFUpEm0caJ3OqQ7xXE6LjHWV+DKiExQI6BzhlICGCANUghtQ/LIXtRKmQznoDUGekOAxAx1N4qJHtBQr9ZlmYGA2tpE1DYCobJBlp9gMbTgaZs6ExnKEA6M8EUxitp80wdG4eYcEBjahTK5Vge/OmdvG2SKNrpRUJAzlVE1DqymVAM53EEMyqWrCQHuCl0Aw2Kagd/YGO7UMS8AT0+qxk2vWoZUXEcIDrWLDQVWza77kLpAzoyRg5u2NgAi6QI4KWLoZM1KlPo6e99cgIrCd0tEE2buFEaV2BgInReP8UB0gYxCR7fQ4mRq/PKF06Q3UecKSTgsNLq6sBzV4AaGglbc8Dm7YTDNoovf2AqNghhQUL6TwoWczS6MhtGMbABEbraTMMrQolYvNHrUbhlItWJ6Vk1QSUVhdTlYKIdkI2hJSNUmXkGDVySlVqRGbAQIqCD9sCb7KUWpiaVmVmOXqtallv2LzUMcyDFYsBvVKLLsYUuw29aBrtuAvkcopqigOMys3ddnPgYPO2oNVTXbStth8Y8ZI1iZaMoZNuXJSpPdW0ImcqxcbGDWSDkavotOgiutAUC17g3WV1HqSwYEnrI6dnhpsNrSRVIJEVM1wduYlNQ2CXWs05bN7Cs2CGC8iVuxbGQPEGytKaSVr8SQ8wSm2ObhBDunFrpFLCfq8EOkHFtjycPnI6/mFpg1nP87SNoVlE7jpsFJERrErBB+d+aKOKPVWWhkhqAmieCURp7lSmyK6zQz6hcwvPQiuSjVLsoLpxyX5/VAdYoeAF/5YqI0dxA1Qt+GA5wMfC92/jEFVtlJ01gTeJDY3iAcZTrahexU/Wd7kbiPi+esGHbRuaTBQ7WLZgIU8vJ9wLmq12MF9cZ4ecIhMaOZ2WNJQppZIGK2mpJY34OQojXhkTiukUjiBGtdcqVXcPIDy8fF+BFdtgxQ4hK2lnPaoe4iy9VjXSig2qvUBKzVrVSgZjYF6jpWMITClxENCp3KW+3Cfu8iIbkztGLp/Q0gIQbaCqbJTc29Kmd1S77QcbDZWTuaouiNr4UTWgJ7UfUT3AGdOKQHK9KKlGTpGd5rAfSaUTJEwvW2VmU1QrUgUx8r+Z9LUz03PXio8cQ6cXnbVgKbUq71eOkcsptPQQRBNWNZVC2ahdxrgijU75HKo9JrlEraqVu5SHqG7DeMoDvFwsoNQ19U06D0hNkVVT7ERO+jLEpa7V9pV7vlIGcurpZY5Lnfmq1Y1Q8JE6iFFcB/KlmtRPUCdLQ6TVUy16ET9XKnikWRoTGK2nzTD0fORoUkqquiDKlkgygo0rcRAjUdmpK3c7v2/zBg6EqdUVC0GMusidKZhVPMBYDIGTBrMsPTbDfyv5pYaus4BqSilrhsBp54HneeqX26zYMTFo5JJoVdku9xrpZVupVQ6DdFMYvSfOKGy2Y9EVN8u/SwHVMZCfV/a/0kFZmZHj8QtSDWZJ7UcUq5e5KrSU50F3DCh85FTTihwH+FixANFpLPGlhvAQCQ5xVWaWwUfOWrs6Va0kQ0A/kepMoLGk8n0ENkuRrysxpyy9lxMWvbTbflhwYFgnOKoecsAIBnLHjh3Da1/7WszMzGDTpk34lV/5FSwtLUX+ziWXXALP83r+/Nqv/Rrpc6myEL06NRqNnOoBPlYspO5tKUP3AB8rFeB56Z5DXrRJzHi5GDnVMaA8wNV1gvT9JQH1SjWrBR8MbFRv32G1QILUhka12IHBfkRHakJrDK14iFMGs2l67hKxUUCyMah1GeGCh0AaQQHdiy1gXic4qh5yAFCy/QCqeO1rX4sDBw7g85//PBqNBl7/+tfjDW94Az796U9H/t5VV12Fd77zncHfJyYmSJ8rvIEmmzSNlg/BeJu2H+EKYlR1MZRtwsryxtVuo1KIXowcN3BA3c2d1H5EM5VAzcipaoMo50EWqlaBTkC/XG8pB7OUXnqjZsEipCZVgvmoPQ8YpCY2nAzkYLjeamMc0Z+tfKFMe6mWUVG81FFmi1R1ghz2K6YwUoHcfffdh5tvvhl33XUXnvvc5wIA/uRP/gQvfelL8Qd/8AfYs2fP0N+dmJjArl272J5NlZGj9DFTFblTWX70Q3XjChghQjYK6IxD3KHEYbkAhBq5kdCHZUQjR2U7AUC5v2JWmFmeYgd7MgOxFzRaPpqtdiLxOOV8VK/c7fwcRRApkE5uk24MZFYtyTzg2gt0L3VAermNXMHu+35sgMqVoTCBkXri22+/HZs2bQqCOAC49NJLUSgU8PWvfz3yd//yL/8S27Ztw7Oe9Sxce+21WFlZifz5Wq2GhYWFnj9RGB9TSyX0Cv1paHTVVAoXG5WYRmcIYoBkTETAhFGPQQZ85GxrQpTTilZTq0xjoBrQkwazyQM53/eZjGClLieKFwu7jJxdLz1bBR/cWZqkmSoOuU1SY2jHyBnCwYMHsWPHjp6vlUolbNmyBQcPHhz6e7/wC7+AU045BXv27MG3v/1t/PZv/zYeeOAB/MM//MPQ37n++uvxjne8I/GzqfomyQuHasKK/qHFGI2DqJCjnrCqNDrl5lEoeCgVPDTbvtWNSxxgyatW6QKJLDj6AxoWLAwFHzaLHQB1nSBle6TAdiHBPJAlHpRsjDynVustTFXij5rACoayu4XFeaDKRrUkoT9Nit1DvZWUkeO50OhWsNPIbXpZyTjtZagVHT2NXCZCz7e97W3rihH6/9x///3a//4b3vAGXHbZZXj2s5+N1772tfjUpz6Fz3zmM3j44YeH/s61116L+fn54M9jjz0W+Rqqxoc10gkrs1HJaXQ2Rk5xDKpEC0clpcS1cel2drDba5U4tdp9jqSVapRaPeUOHwzG2IC+FY9pHzmOVnVAf8GH4p5IMQaCnU4wD6gDKAFdc3CAaB4oaGa5LnWqvVbFXKHYk3qyNAl6cHPtBSaQCUbuLW95C173utdF/szpp5+OXbt24fDhwz1fbzabOHbsmJL+7aKLLgIAPPTQQ3ja05428GcqlQoqlUrif1O1LQ9llZQ8YWvNdk9aYxCyQqNTV4qNlQpYbbQSVe+yjYHqDZQwpSbrgpJpQpgCemVTZLqbsHLlLkPFJqDea5RUIxcE9PGvTSnx6Ee13FmPqrphiv2gojAPqAMogf6+w0k1WgA1Q69Sxc+kl016qSMMKIUxtO8nmwdUvq42kIlAbvv27di+fXvsz+3duxdzc3O45557cOGFFwIAvvjFL6LdbgfBWRLs27cPALB7926t5x2EQBOj6BtFI+wNNwiregjFIEYEvXYYOebUqqp/GGFaEeiwMWOlZAcHuY+cosyAslqxrMpKMhX+BEL3hEaodYYUeyKtKKHEox/j5SKOo6FsxUMS0CuxUTyspNgPRd/hpBfsIlFnAZ39kEsrqsrIUewFnuehXCyg3mwnC+SYxsAERuqJzz77bFx++eW46qqrcOedd+K2227D1VdfjZ/7uZ8LKlafeOIJnHXWWbjzzjsBAA8//DDe9a534Z577sEPf/hD/NM//ROuvPJK/PiP/zjOPfdcsmcLfJOS3sAJD5AeYavFCVtVpNGpAwmV6l2uMZgY69yNVL30qJnZRJs3ExulakNDychVFA4vgEfkDmik1UiZ2eStiTgPL/V2dXTFDmIMVNj5ggfS1kxy3+EklxpqhlwnmCU/EySP0yT+ntTVs8GlRulMcBo5dvzlX/4lzjrrLLzoRS/CS1/6UrzgBS/Ahz/84eD7jUYDDzzwQFCVOjY2hi984Qt4yUtegrPOOgtvectb8KpXvQqf+9znSJ+rv9w+DtSHaLBolRg5uzT6GrG4VGXj4ksvdwN6CyJ3+b2oBbM88yBpEEN5C9c1BOYqdlAufjLOxNAVGPQjYGYTfBbtNp1BOqA2D7jmQKlYCD7PJAw99cVWpeiFW24DJAuqqXsf65wJo8jIZSK1qoItW7ZEmv+eeuqpPb3lTjrpJHz5y19mf67+cvupuAoZ4hvQWKkA1BJqQrjMcFVv4MSLVmXjogygZKiKeyk30GLBQ8ED2r7tSjW9YJbUP0y14MO2VpLFENgeKwuo7QfUWj29tCJDMFsuoN5qJ7rUUDNyKl56bJc66d9bbbR6ArtBEEE/ndwmOTNL6WtqGqP3xBlFf7l9HOrEC0fHM4jr8EpKo1MvWhXrCa4+o+Pd1GpijRzxZ6HSrk2MAaUJKqBvDE3bnkqtqwE5I6eZVjTtJ8jpnaUSzJIL/RUYOS42CtALZukutupaSeozoVDwgnFNFMySX+6zEdBzwwVyRPA8T4mJoD5AhGdOstsXrxEskCy9St0iSoWNEV56ti1Y6sS3QB2tJDUrqeodFRS9UFgOKFRsAny38DCtmO0OH6ypVY39kEroX1FIqXE6+qvsB9RtwrKgkQPUxoDrcp/oUsPUstAERu+JMwydGygZE5MBF29VVlIccmSLVsU/i7nPqA2Ru/zvKN1A2XqtJtWp2anYBBjZ6YCJSaYPC33M6NLLtlOrKlpJ6udQutQxspJKY8Al9FeZB4zMbCJWklojpzAGgVG+S63mG1WFA4z6EBWFCzYDuULBCxZBEoEz9eYRptUS3H6ZdYI27EfkfyduHjRbbbQYTFAB9bTiGmHfW5X0uu/7bPYjSkyM9Kw0PnLJ+81yVq2qXGpEME/BygLhOqhZ1AwDiqlVi5phE2OgwszaCOiDvdgFcvmGysZFrpFTqdLKyMbFxchZ1QkqdvgQGyiVTi2pm3uvuNxyZwcGRk60q4tCT3sq8vSyeloRIPIT1OjsQN3dA5Autir6MDKpSXcMEpjh1ggvEv1QOhOI92WtYgeGMRCfqYpGjiqg17PicRq5XKOilFqlZmIUbuGMNw+l9DKXRk5F5E28aMX7rzfbsYGE+DmATqcWMBExwWxP8GDdBJROI6fSrk7e3MlNkTUudUCvubculFgITkZOMDEJniNozUSuFU0eQFG0S+yH3n5IFMQoWFLViMdfhoqvJFfx10a3Hxm9J84wxruHQSLPICa/HBX7ER6Bc/IDLGTkiMcgA90tALVDnFojFzcG4vvloodigd7RH1CxH6Fn5Dr/brIx6P89CmgxMUTdFcoJg3mA9wBXMQgn14cp+cjx2U6oSC2oGTmlDh+cWRoNnSAdI5eNecCN0XviDENJC0DcoDcpEwPwlturVCyS30C1jFCpmZjkBR8czbqTWg6wVuopHF6+75PqRVXa1YkxKBU8FIiDWSW9rAimrFQrcl7qFFJq1H2XM2C9AagFMZTG2IBiBTtjsYNKip2LmbWtF+XG6D1xhjFeTu4hRp3e1KnS4kmtdjdvBSdzso1Lg5Gj3rg8z0vMSHE06046BpyaGJUqtXqrHejUKG7hcru62NSqibSiAiNHzs6rpFZt+8gxdbqxvh8q9OCmDqqVil4YszTBPEhiScXFzFqU25iAC+QIMREwEc3Yn+WasEq+SZwGmEqbN5U+TL1aj9pDDUjOSLEEcgmDGE7bCdFvdqXR6umyMvA5iB39AfX0MqdWVMUcnLxyeYT8w9hSaiNUuUvNyOnY0HBmaRIVwHGNgWUbGm6M3hNnGBNKLt4MLbpgt2ITUDV/tMfImWAi4jZvMQc8r5Peo0ByRo5f3NyS+mcOg5gnnkdvhBr32lxdHQCpajUBC0EdUFZU1gHxZUqGkl6WOqWmsRewBjEWfeTUjKE59gOVFDsxK6lzqWGQm3Bj9J44w1Bho6iDKZXNu06sz+t5DiXzR4uL1kCVVtwYyEwAhcgdSF5uz5lGmJD6Ka7FGOLKzCD5GCRNL3MGMSqMnMUghrPYQa1a0Xyxg5kWXckrd+kZOYXqeY55UFL3E6STGXSzNJYv99wYvSfOMAQTk0gjFywc80EMdSpHRqiHSLBx2dTIGdCErDaiU+wclWJJjaE50wjlYiEIplZixoDaCBZIzsiZSK0m6TtcazEFciosBAczbTNDoSGzYNWHJWIlbbJRjGPQnQe1BAE99RhodbdwGrl8Qy21ylO1qtRj07I2iIuRs92aKOktvE4czAPJ5wFn1SoQBmZxl5o1hs8haeEPp+WCHJjGevpZ6u4BMLOSwhjagqekkh2Tif1QqbsFcfVyRphZpYCemJVU6fDhqlZzjnFJ5B0HNh85JY0c3+3LhkZOSRuUgc2bY/NMmkrgTiMkvdRwBBLJCz742Cg5kEuqlSRrT9WdT8l85LJRucumjbKsD1NpV1cjNMYGQolBMjNcvgI4Na1kdwzIKndFMJukw4fzkXOAfHjFV62Smz9mRBMibuE2qlaTakLakgiftVItZh5wFJ0kZuSY0wiicjU2iCHWBQHJA3pORq5Y8IL1FTcGoTaKWh9mPqUpQ4eNovaRs83ITQhmWmUMyLsaqFhv2K5e5vITtMtOc8MFcoSYUDBCtWuGyxjIJbyF+74fMHLUrGSso39PayY+sX/cAcZxgCTVxXAe4EByvSjH5pk4tcq4DoDkqcWwRZk9mQVnr1UVJsZKsYOJhvGJrDeoGbnkzCxvlkbnck8dzEaPAYc5u0mM3hNnGGrFDrQHqVZakbUdS3wwFTQsN6yR4/Auk1FNqJHj8PNTNgTmCuQSstPUlXqAuv0I1w08qdg/GAOi59DZC7irVuP9BGn3Qy29rPVg1uIYGKhaTVbwQctOJ61gl7/vqlZzjiCdpFS1akPcy2gInFDYKgdTpqtWOfzbZCRNKXGkVpOyUdxBTFJ2mkUjp2gIzM1KJmXkqAIJ8f7bPtC0yMz22NDEXOyoA0otO6YN12dUpXKXXyeoZkNDG8wmzVAAfAVgnBi9J84wVHzkxKQeJ6bRVTYuShZEIKnAmcUINuHGxeFdJiOxRo7YdkL+t5KyklxpxaQHGAcjl1QryZ5aTeijxmXDA9jVSsp723LMWuCTmiTRh/FbsCj1GTWsD/N9PxP9Znv6LhvueCRet1jwUHKBXL6hlFqlFjgHN4/ojYtjscioJKTROYKpzKXUElatUt4AkzIR3Bo5q1WrCcX+3GOQNK1GXuwgzafkPXfpx6BQ8BQYepFetlj8lRFGznSf0WbbR5tY5iLDZpYmcYaCsXrbBEbzqTMKlarVVWImIunh1Wj5oTaN0wQ0oeWCDZG7KaF/nE6QU+gfx0RQ+3b1I7DiSXiAU34WlYTpFG5GLjkrSWu5UCoWIBQDttfCZKXznmIZOeKiC/lSF6fPM+Ej12z7sayQrT6jPZphRiue2Mt9j3aZ2hA4Zg60eNcBN0bzqTOKQBcU0yy80WoHFTJUqVVVfRhgl0anrtQDklfrcTdHTir05zhAklbusrOSqobAhELzxMEsY7UiIPVbtWDBkpl50F0Ly7VkrCS1NgpIMA84TZHHwudI7itptvhLPjNYu/0kXAcFL9T3pUXSLI3Yh0bRQw5wgRwpxKbl+9EbqDyh6VOryW9frIs2aSqF8gBX1YcxHeBZsB9Junlzp1bjb+H0N+HEQQw7K5lQL8rRpkzZT5CJkUtYAEat2ZTfj01mdkxiR+P2RGpGTpiDJxX6l4seCgzFX1XJfiSK4JADWbq+y2pnwih6yAEukCOFqFoFopkIWfxM7pcT42DN0ahdhtiE4o1g6Q+QpK2JuBdt0pY0du1HmNPLQdVqnP0IbaUeoFC1GjByTPOglGwesLDTCcago5flE/oDYUAfl1oVQQx18Reg0OWEYS14nhecC1FnAod2OWlqldNDDgjXdtuPDio55mJS+xHu/ZAbo/nUGYXs5h51gMk3L+NCf+IURj/UK/XoD/B4fRjv4ZU0rWi1swNDn1cZye1H6OejKivJVrWa0HaButgBSHap4Ra5A5CCGLMBfbHgoVhIykiZqV6OutyyCv0Tppa5taJA9Fqg1ooCySt3ufcCbozmU2cYSar1qG+fgAYbxWB+CfQWO0TS6Jlg5OymFXk0cgktWAyNQXI2yjwjx26KrFi1ylK5G8mA0GcG+pE0oLe5J3L6agJhZ4OoMag15EDOsPUGc3q9XCwEfp1ReyIHI5f4cs+8F3BjNJ86w5hIsHlzHF7JjQ/NHF7yaw0CByNXTshKmkolxGrkGIxIRZowvtyel5VMOgYc8zFxr1XuAzyhn6Ct1GpN+mz4qla7jFzCYgdaP0E1Ro5yL5KRRCcogpgCoUl5YjaqxbsOgGQWJBwBZVYM0rnhAjliVBPcQFc5bp9JWQhDqVXA/KKVb+BJRLV8N/CEaUWWik21w4s/pZaQjWI4wG2nUyYqCdkoRplBZCAnvX8OvSwgVa1GBLO+70t2TJRjEH+p6dWm8e4HUWMgX+6NC/0NeKhVkhAcHJf7jDgZcGM0nzrDUEmtUh7gyY1geQ9wWScYzUrSj4FchSrsXQbBlBlubGqVwf4iK+2pVA2BOXQxNcvs9GRSLz2O9HKChukm0kmTCeZBoxVq9WjHID6gN5FeTsLIrbFoRcX799GO3A/52SiRXo5MrXJc7hM7GXRZyRHs6gC4QI4cE+X4zZvaDBjQSK0y3jwmE1QschwiPa2JEh1gvB5qjVa0CahN+xGOilkZASvZiGvNxMDIZSyYTVqxyZJaTVIlyHiAC2Y2agzkC5/x9DKDCW0/kswDEeTJzgdpUZbmdaOdjJnlQhK9KKcNT2zlMkN2xCRcIEeMJLYLLMLe7iJstX20LLJRgLR5R+hieHSCYUoiSQDFrQ8D4irV6IMpdWaWWx8WV71ssVKNodetDGV9GGmxQ3xa0URKLSh2iBgD2QjWNDst1qBHaELbjyRjIC7+HAbpQLTY38SZkKS7A4tGLrGXnit2cJCQxAyWxW5Avn1F3cIZm2QLBG15alGMHP3mkbQ1EffGVSklMwHlZCVtp9iTtqvjYOSS60VFapt3DJYi1gEgBbOGKzZNsPMTlfgMBYc+DEiWpahJlhdcOkExBtEaOQZGLqGXnokgpprgYsehk5S7vETpprnZeW6M5lNnGEmE7mLj4ii1B+zrYsJ0illGDlDbvLmYGM/zEnnJ8aZWLXvpJWxXFx5gFmwnWryBTMDIRRzgjVY7YNAp2ZiQmU1g98CZWi0nSCsyZCgAtdSqCalJlEZO7BOUYyB76ZmWePRjIkGmirMIEEjGSjofOQcAyXyTVhkr9YCEbBSjFmAqwQHGxYopbd6srGRnDKLYGNZih5hm4fw+cp33H9euLkwpcRhDJ6xaZRI4Tya60Mj6MLPm2CZSq5MJKnc5MhRAsksNdY/XQVDRCY4TXmgA1aIX/v0wKksjsheUYyCv7SSeis5+xAFAuGijtAAcGjnP8xJpg8wwcvEpJbZbeILN24QmZCrBxsVjPxJ/A/V9P2SjmAs+gGgmgvMWHt8wnvcWHgQxUYcXQ7s+IFmHD5PsvOmLLSCxkq0k8gbOgo94jRzXfijGtBbBzJpg5KYSXGo4xiB5epn/TODEaD51hlEtx1PIXGnFZCagJm7h8SLvNa4baIIxMKGHEB5iUbdwDkYuSbPwjl6k8/9cm3ex4AXPkkQbRDkP1Btl87KSK43WUPsHmRGi1GglCWZNsPNJUmocF1sgqU7QACOXQCcotKSUEgMgfF9RrbFMjEGSDAWHRk41vex85BwAJEutsm1cGbEcmEwQxKwyaEKAhBo5I/5ZYuOyo5GT//1+yLdzM6zk4DFotNoBa8hijm25x6ZYB74fWiusfwaetKKaxMB2BTtvajWq16hJjVz0fti93JMHcp1/z3ZqdSpBAZwYA+rLfRKT9BqzzIIbo/nUGYaKITCluBmQJqx1cW98WnGFQQ8BZEcjlyi1ynATTnIDNWGCCsTfwtn0YQmYGN/3g+9ztWbqVEJ2/n9YICMOL2omRqVFF2dKTQSzUdXLHMVfgGqGwgQrGVHs0PVbpB6DakZSqxMJGDkugiNJmy7nI+fQgyQVmxwUMqDKyNmuWuVdtNE6Qd6KTSCZuHeVK5iN2bhMtGYC4sdArAPP43Jzj2diAL5ArlDwgqrNYalF8XW2tGIifRjfOpCrl4ellzkM0gG1vYD6tWVMJLjYrgWGwEyMXEZSq5H74QbXTXNiNJ86wwho9AQ3D/JATuXmYSC1GiXytmo5YFAnGJVSEmNAvXnHpRK4++0KiHTKUEZOsFHE/mEq6wAwo48aNg9WLGpFjVQrStXLw9LLbPthVsZAsJIRBXAc1dtAOLejGLmQjeKUWSRwcxBjwLQWIjVyLf4zgROj+dQZxlQ1yc2Dq9ghgZu7CX1YJV4fxldun0DYylyxCUiakCFMDJc+DIifBybePxCml4cFcmxzIMEBLoKKYsHr0RVSI65dHR8Tkw2hvzy3hx3iXBmKRGNg0n7EwqUurFqN3w859WGhZtj85b6cxILFwOWeE6P51BlGkuocviqtJE2i+dOKicwfuTVyFg2Bgfh5IB9qpoNZU5tW0tQqpyn0MC89U2MwEXOAcTExKuuAcy8oFCRz7GGsZPfrk0zMdFbsmBLth9QauSSpVQP6sCSaYT65jco8cBo5B6hNWGpdRmZSCUl0gtxVq5aZiLh5IOZAseCR34Tj5oGpvoIBI7c2JJBjmgNJ3Nw5GnQPQpwh7goTE6PUoov58IqrYg8Ln+jaUwFJLVhMFDt03tdqAp0g9aVOBOnD0tqAmbSiitRkfIx6P+yMaSKCwzFyDkCyCWvVfsSoPmzwxu37PruTeaJSc4tjIA4van0YkCSQ469WBKRAblhakevwSuClZ5qRGxrQB6lVG0GMmcMrzhR4tcHjoZao2IG5VR2QzIaGzRA4M8UOCUziudjpJHIb5yPnIEM4WNdb7aEC09DJ3IIWwOCiHVbsUG+1IS6m5IycELZG6aOYUnoy4lOr3WpF4sMLiPfSM1VqnzSY5UqtAsPngSlGbirGDJY9tWpZLwvEpxZXmHSCKmPAOQ+qEts33IaG91KTqNjB0MV2mNyBWyOXZB6MFV1q1QFhEAPEL1r5Zymg1KKL1c09OrUqe+yRC5wTMHJBZw0jBphmN25ghFKrTBu37KU3bB6Y6LEJhMHJ0LQiExuViJk2FNDH+aiJNULOSmbEHLxQ8GKDWbZihwTMbFDsYCCQa7b9oc/CxdBnxRiaE6P51BlGqVgItG/DmIjlQNzLk06xfQuflFy8B92+xKZVLtJXDMY1yvZ9X2Jj7JkicwUxQPwYCG8xU8UOw6qXuQ4vIN4c2zQrOUzoz1W1mmwvMDsPhgcxTMFsAtsJcwF9jA0NEzMr/r1kFZv8umlgcEDfZK3ij8/SmLJk4sJoPnXGEWW70G4z6sMysnnLt69Bt2EukTsQrw3qVDJ2/p/zEE9atcoRxMQ1CzelD4uz4lnjnAcxbEwQzNtm5Nj8wzr/ntw9ox+mmFnx+cYFMaaNsQFzBR9xdkRcWsmw12rUPOA/E4pS9fKg/WBFej7OKvZhMMFKcmI0nzrjiNIGyaaQ5IxcInGvgSot2TtqwObNFcgC8QJnuXk0JyMXV7W6yrRxA/GaENOHV5yPHLUBKBDvpZcVRo6ralXM7ehm6aaqVrtVmzFSC+r9MFlKjb/YAQgvNYNkBr7vh8bQ1AG9YOQi5oGJFl1AdMGDmAPFgkceUI6VoosdWm0/YAOd/YhDgCjzQ3Ej8zy79iOci7ZULASLMWrRcjJyww/wzmt7Hq8B5kRwAx9sOcDFQgAyGzXEQ81USi0mvbzCyshFp1azwshxpVbDlFoCJoY5iIkbg2Wmwp9wL7Ar9AeA6UoZALCw1lj3vUbLR6u7R1gpdjAc0A/aD8TXJsYYqvhjLrby111q1SFAmFIawEZx2k4kqFrl6mvYj6hqvZCRo2ej4krN5UIHzj6j4v0DvWmD4GtMPTaBJMGsGWFvwELEVO5OVhjmQYw+yhgjlzCY5dJGRTJyxixYoosdVjNQtcrOTkesBTlLw8bIRRU7GEqxRxEcK0ysLBCfWnWBnMNAhBq59bevoEKL4fAKN+/BG2a77QeTliOAkDERoQkJmRj66Re3eZsodAA649stnBx4iK+xCv1jghhjqdXoQG6ZydEfUJgH3EGMxMwOQphapd0PwtSqfSYm9JEzqxdNUrFZM7QfTHfXwuKA1KqcVhRFOlRIppEzk1qdivBYDRg5YicHQGpTNuRSI+ZAwetkk0YRo/nUGUdUtV7AQjAcXnG6GHlDY3e0j2AiOJmYuNuXCQ85APA8L9EN1Ib9iKkG0ZMSKzsovRxu3ubngSlWcjImiGFLrXaDs2bbR3NoQG+qanV4sQNn8VfcxRYwF8xOR2jkgupthixNXDDblgrSzM2D4fshx8VWrIVhZsyj3p4LcIEcC6YSTFiOtGKwccUYEcs/y4VAFzPw9sVHo8cyMSK1yvz+gWhNCOfGFd9rtfPapm7gwGBmdpnxUpOckTPkoTa02KEzBlypVQBYiyl64ZdZdPRhg9iotWYrqCKn3g9CNsq+/YhIrS4O0MiJIJ+j6Cfo7BBzqQP49wNxYYvK0nAUf1VjCj5MaUU5MbpPnmEkYqM4Fm3MDVR8faxYCAxTuRDlHSW+xkGjx1etmvMLSlKlxbFxZcUQuFIqoNSdZ1GsJMsYZIWRizi8AD59mPzZDtsPTFSwAyEbNTiI4dOHJfJQM2QEO13tBrOGZRYiSB9W7FDr0YcxSy0izkXOS11cetnUfsiJ0X3yDCNK2MqpkRuPETibKnQAooPZJauMnJnUKiAVfERZsFjw0jOVSvA8L1Gl2pSNYgdDjFwgsxjS3YKrcrdQ8IIxGHSA+b5vLLUaBnLDLzTVcgEF4stlyMQMT62GFztDetEBY8BZvR36CUavA88DuT6vH5GSI0aZRVyK3ZRGkBOj++QZRpSH2Iqkh6BGnMDZZBATJfJe4RS2Bgf4YOuNNUPpJCCajeHUyMUXO5hLJUxF6kXFpYbRgiUmxc7PxITt6lp9OsF22w+r9TgOsIjUYrPtB/2OjTFyA4q/OFnZJMUOnK3yZCQJZjmeoRLDyAUecsUCaxU/EC05Wg6qVi1oxw0x05xwgRwDolz9OYOYUNSZHTYqatFOWTDDNTkGkfNApJdtFDsYTCVEMRFibthgZsNqRTMHOLB+DGRbGg5WMoqJ6EmpmUorDmSj+NaBeP/1VntdEC0QXuwMFTtE2I/wMHJxFZvm9oJozbCYBwwBfYynoilmmhMj9+Tvec97cPHFF2NiYgKbNm1K9Du+7+O6667D7t27MT4+jksvvRQPPvgg2zNGHeDLjH45cakEcSPhth4Bom+goUbOhjbKTEoNiAlmOdOKGbEfAaJ1gsuMh3icq/+aIQ+1SqkYvEa/Gay41BUYzMGBaFNgeY/gNMYGeis2+3svm2hVBwweg5Zkx8RtQxMGs8MtqThY2dhih0AjaPtiy6kTjE4vm7zYcmHknrxer+PVr341fv3Xfz3x77zvfe/DH//xH+PGG2/E17/+dUxOTuKyyy7D2toayzNORZTbr7LeQKNTq7IehRti4xrkZM7pH1ZOXLVqsthh/echNjNOM9w4ob8JTciwW3ir7QefBesYWGbkgOGM1JLESHKktaoR/lk1KaVGrU3rh3j/TekzFzBRxQ8MGwOp0II5tRrlqSj8RqdZWNlkQn/uYB6Q7EcGSU0Yg9lAYhBT8OE0cgbxjne8A29+85vx7Gc/O9HP+76PD37wg/id3/kdvOIVr8C5556LT33qU3jyySfx2c9+luUZRbl9VFqRs8x62M1jzejh1Xl/C6vZYuRspFYHM3Ld9DKnh1pMEGM0tdo3BnI1s4308ppBXczMkKpNTiYGiLYjMppSGwvNsfvHINgLGNajbLA7aAzk3q/cDH2wHw7IUIiUOzcj18+GAiEza0IvGxbADbCkMpBiH3ouGip44cTIBXKqeOSRR3Dw4EFceumlwddmZ2dx0UUX4fbbb2d5zSS2E5McGrly9M0jZORMHF4RqQRGYWtcg2STwWyScnseH7m4XqvmgphhgZzYzDmaZANJ0svmDrBhh/gyow0PIGlmI9goE+/f87xgHvSPAWdKDZACmQFjsCYxMeysZPdyX2+216V5BWM/VWUI5KTPd9DlVnzNBCMXWQRoIMU+XHLEOwdNgOcqmCEcPHgQALBz586er+/cuTP43iDUajXUarXg7wsLC4lfM4pGF5OYpUIp2LiHTFhD7bmAaI1c2CCZg5HrCpwtVysCwzUhvu8bsd4Y1izclHcWMJyVlH2jONKKcelluecuN4bpozjnABB+vgOLHQxX6k1Xy1hYa64bA8FGTTMEMUDncrtUG3y5Ddh5g56SQOc9V6akv3dTqxzzoFcn2F73eZvqOQzEZSj4zoQ4+xFO+xdTyAQj97a3vQ2e50X+uf/++40+0/XXX4/Z2dngz0knnZT4d+XWRP3VUqZEnVE0um2N3EqgD+PQyMUwcgaLHYa1pFlrtAPrB842ZcMsWKxUrfanVpnTiiKlFpteNrAWZsYHX2qWmdmoqJSSaRPUYRc7YZDLwUYB0YycyQxFqVgIPuf+tbDEXPgk7klRWkmTVauDTJHFxY61envIXsDVIs4kMsHIveUtb8HrXve6yJ85/fTTtf7tXbt2AQAOHTqE3bt3B18/dOgQzj///KG/d+211+Kaa64J/r6wsJA4mOuxHKg1MTteDv4uJrGg2ikhB2i1ZnvdBmXKMwkAZoccXkA4Biwi92K0d5SdFl39qZTO+/c8XsuBuCDGhLh3mDk2Z2oZkJjZGEbOxAE2XbHDyEXbj5ibA8Bw+w3ByE0x7IdADCvZNHuAT1VKWKm3BhS98OllPa8jXVhrtCPHwMQ6EBeapVoT7bbfk85eZGRmY4sAGe1fTCETgdz27duxfft2ln/7tNNOw65du3DLLbcEgdvCwgK+/vWvR1a+VioVVCoVrdeslIqoljuLZ2G10RvIdTdzngkr9VdstNYFK2vBojWXTlqqdSwHRPrM9/1gM+cYg9gWXU1zrKT43PtZySCNUC6yaHNiDYENptWGpVOCVnVMQUxssQNj0VE/hrFRy4wXGiC6Ws9kSg0Ynl7m3A8BSW4yYB6s1s2l14HOezy8WFsfyHXHgJOVXGu0B15uTQYxYj/0/c5amJ0Iz8UgoGc8F4de7g0SHFzIRGpVBfv378e+ffuwf/9+tFot7Nu3D/v27cPS0lLwM2eddRY+85nPAOjcSN70pjfh3e9+N/7pn/4J9957L6688krs2bMHr3zlK9meU0za+dXejUtUcYqNjRJlqYfqoHSK2LhMTFixMbck93qgk04SWd8ZhjGIZaMMVq1uGh8DAMyt9OmCmNNJWem1CoRWPP1MjDjMOPwUgfjUqskDLJQZ9I7BQndv4FgHwGikVjkvdYBswRKhkTPFyA0JZoMx4NJKBh0uhlfumhD6C4IDWH8uhowcQ6aqG6i32v7Ayy1nlx1TyAQjp4LrrrsOn/zkJ4O/X3DBBQCAL33pS7jkkksAAA888ADm5+eDn3nrW9+K5eVlvOENb8Dc3Bxe8IIX4Oabb0a1WmV7zplqGYcWasFmLcB9A62WCliutwbSyAEbZeAGOl4uolTw0Gz7WFhrhPqI7vsvF3mqFQUb1fY7C7fYx3iZ9JHb1L1xHl+p93yd+wCP6rXabvtButFMINdlZvu1Ucwi97BV2/oxaLTaaHZFimYLf/oudQaE/sDgIMa0m/2wyl1OfRgQ3e0m3A/NjMHMMJmBIRuagYyc4SBm0/gYDjbWegK5WrMV7EksBR/SXr/WaAVnhIBLrVrATTfdhJtuuinyZ/qF/p7n4Z3vfCfe+c53Mj5ZLwYxcp3S886EnRnnu4Uv11uDq7QMGgJ7nofpagnHVxpYXGti92zn64tr4cbNWa0IdMa7f4MyWewgUge1Zrsn1S0OM645INioQUGMrBkzkVYTwexcPzMdXGh4g9lBjJzMEJtkp/vZKDEGnHsBEN2iy2TVKhAVzPJq5AYFs6aDmKnK4HmwyJ5aHa4RWzGYoQA65+LBhTXMrYaXW3k8uCt31xptTPfxN2sbIJAbudTqqGBmgD5K3sT4Bc7Db6CmNq5Bm/ci8wEu37YGCd2NmiJXSgEjKKdXgwOceeMe9P57emwaYCI2C1ZyuZeVXAyCWa7U6vAxEBu3bBjLiWEV3EJmYSW1atAIFohIra7xWW8AcYyceY0c0MvI9WiGmW1oohg5Ux5qgwiOJely359BoYAo+AAGB7MboWrVBXJMGDRhF5gnLBBdpRWU2xvauMQhLXd34E4nyQfzIDbGpI+c53nYNC4YqTCQCVKrbIxcN6044P2LlJrnASVmE1QA2DTR0QkurDXRlIIq7oA+ipFblXyjOFjhfgyzH+EX+kcUO5jWyAkbGsMauShGzmSGAghlBnJAz21FBMSYIhtmo2YGnItyloYLUX2HnY+cw1AMCuS4N25AdnMfJO7t3kAN3TxmBjAR3AagnudFuvqbbNEFhOnVXkaOdwyizHBrku2GiSBmkxSsDtq8uVjJqFZtq4bnwLAuJ9wp9iylVmcGXGgAfq1kNaJp/JphJmYQK7nYNQP2PE4/weHFDpy9bgdBSC169oKagXMxIDjs6wQ54AI5JogDSmajuDctIGbCGnQyB4DNXTZGTquFty+ewwuIZmNMOvoDYSAjB3KLQWqVmZFr+ev0oqYP8FKxEMz343Iwy1zwUY4odghTKWbWweyAOQDI88C8zMJ0scOWyfUV3HJFO5/UJD6lZmotDL7c82qGgRhTZMOMXOQYsJ6LUQSHY+QchmAwhcx7eAHRFLLpG+jmyc77PDYwiOFbtFFif5PdLYAwtTjfk1rlZWJ6Cj76xsD0AQ6EAf3cyvqAni2lJoyhI27gE2UzLMTmbhBTa7Z7GrWLYJYrvRwVxNQMSgwA6VInzQFZK8Ym9I+o2BQBrqn9UASz8sVWnA+zTHsBkMx+xPSlZmFAIMe1DoBoZnbFYIcPLrhAjgmDArnQQ87OzUNMYlMTdksEI8c5BlH2GyaLHYDBjNwCc0AvN8DuZyVN9lkVCAoeVsxt3kI+sBqlFTV0gE+OFYPP5Ohyp39zu+0HHU64Cj6ihP6mmdnNQRDTCFhicZhXSgW256hGiNxN2jEB4RgckwO57prYNGEikIti5MxcagZqx1dNplaHM7OmCj444AI5JoQi9/UHOOvNI4kWwFAQE2xcK+tvoFxsFDC8s0HHELJziBjXyBncuORArr/fat3wAQ6ErKTMxiww60XFphxZpWYomPU8T2JjOu97ud5kNcYGJHY+Az5y4lJXb7WDHrNiPgi2jgOVqJSa4WKHLQPWgRlGLp6NMuYjN0AzLPbGzZzBbJSbg6tadRiGrVN22KhILYDB9lRAmEo4thSOgZHNe8gNVGZnTN2+wrTi+mIHrmC2UPCCitRhjNxY0TwjJ6dWueeBuKzInnECNgxA+y81Yg6MFQtswVRkatVw1er4WOjqL/bEOctslGk7pi1T61lJsSZEFxgORM2DNcNs1KBM1ZzBM6F/DBqtdnDZdRo5h3XYMtnp03p0qRZ8zQwjN/zmIRg5U2xMwEIMOMDF9zgwPiSttiI1qzd1gIVVWnJAb0InOLjgw7R/GCAzcp33vdZoBfNz0yTPWpDnQH/Bh40b+BahF+2mVoM5MM4nco/2kTPbaxUIGSmRWhR7AWsgF3GxNW3HNIiVFGzUrIExiOzsYLHYQewLnKxksBb6dILyGeE0cg7rIBg5uV2WuIFuYTq8AFkX0zth220/WMjGih0m1mtCjnVTS5s5AzmxaPvYmJVA5G7GPwwYXLE4Z2DjGhbMmmZigPXFDuIALxU8NhNUMQd8fwAza0HcLC52Yv6LFCunxCBgYgb6yFkoeum72InDnJWNimLkDNsxyaykyFIYLXYY1Nmh3rnc2tQMm2Dkhl1qxBlRMHi558DoPnnGMV0pSQLnzkQVAY3Y1DkwjEaXNzJjxQ7Sxt2fSuDUQwhPpP60mmnPJGAwGyWq9bYyzoMwtdhrwGpa5A6E1cvH+4KYTRNltoBaZhhWhwX0Jhm5vg4XYi/YynihqUR4StoI6PsZ+uPBpc5EhmJ4it2UHRMgsZIimBXpZSNVq8ODWVNrYft0Z89bqjWDdSmCOtZ5MCS1KsssTF3uOeACOSbIAmeRXg0DOfOpVXkCm/aRa7Q6bWh83w/GgPP2JUTsK+sWbSeoMXmAiw16fqX3AC8VPLZqRSB8j/1BjA0mRgSzwgw20AUxzoFSsRBcpPrngQ3fKMFGhZe6zp7AKTGQ9wLbfoKAzNB3A3oD80B8xqsD0sviksPZUaAfm/ssSOYMMHLDgtlmqx3YE5laC1OVUkA2HOmei2IezLLqBAcX/myE9lyAC+RYIdKrR5d6D3FeCjn65lEueigZErqPjxWDDeL4cgOrjVZwgHAeYBNdxm1oatXgot0s3cDlQHbL5BjrDVC8x35WMqhaNRnE9FWqCXaSk5UFpPRyffgt3BS29h3gRw2y88B6NiYI6A1qJft91MLUKt88CNZBrbnue8u17n5gMJDb0mdBIi75W6f45kGS4i9TgYzneQErd3hxDYDEyDHuB9Uh/WZNV+1ywQVyjBCLs//mYeYWPpiFMC3o3CJV64nNa6xUYA2mxocEMTYCObFprTXaWKw1pQOcbw4A8Ro5s1WrvYfXMQNMDCCxMf2BnGEfOWB91aqJ1Kq81vuNkeVWbaYg5kG/1ITzYiuCtEHVy4KRmzRa9NKbXn5qsXM2iH2CA8NS7GJvMFn8BQDbu+fiU4s11JvtQGpiRiPXdy5ugD6rgAvkWLFVun2t1lvBZsIayMUsWluB3JHFWs/Ni5ONCtMpgw/wCYMaufGxYlCdenhhLUipCbaWC+I9rkutGnb0B4AdM92Ne6mGRquNpxY6N/EdjIcXIKWXI3QxphCsg+6lzkRAXy4WUOza0PQXPNhIrW6b7rxXEbwcFkHMDN88CJnpAYxc3TwjJ3SxTy3W4Ps+jnSzNZyB3ERl8MV21ULxFxC+16cWa3iqux7KRc9QenkwK+kCOYeh2NY9rA8v1nCoe3hNjBVZNRmVIYbAQYWWwQMcAHbPVgEAB+ZXgw2cM50EyPqw3s3bFo2+c6YzBocWakGanXsMxoccYKHA2+ABPllBuejB94FDC2vBAb5jusr6ukPHwMItfPfsOADg4PxaJ8XenQfcAX1QtdnPyFnQSu7Z1BmDJ+dWAXQuNgCwk3EeDJMYNFrtQGZgkpHbs6nzXp+cX8PCajPQqHEys7EXGsP7oRzIiTmwfaqCQoEvmAx85JqDszSjbD0CuECOFWLjeuL4ahDI7Zypst5+hvnlhGkEc7dPQBqDuTU8Od/ZwPfMmjrAB4+B6VYsYSC3FtxAt3EzcqJqtd9LLxB4mxuDQsELApkD82Egx8lCAJINTQYOMHGhWam3sLDaxMGAleRdC8P2g7Bdn7kj4AQRyM2votFqB6zkDlZGrrPf1ZpttNphwYe8N5hk6OVg9qmlzhyYqZZYAwnx/pZrgy+2poOY7VOdOf/UUg2HFrqXuhnedTDMT3AjtOcCXCDHihM3TwAAHp9bwaGAheA9vIZRyIGw1/CEDW6gc6s4MNfZuHZvYg7kYlOrZsdAHFQHF9bwZHcMxKHGhWFVqzYE3kAYyDw5FzKz3GthWEBvI51SLReDNOoTc6sBK8U9D4Zpg0KNnPlgdm6lgUePrgDoVG9v4dTISWtdZmbF/5eLXtCb2QTkQM7UhWZyiB3TmqX9MCh2WKgFBQ87GYN5QLYfGezm4IodHIbipC2dRfv48dUwjcB886gOMX8MGDnDB7i8cQWMnK0gJkipmR2DXTNhEPPE8c4Bxj0Gw730zAu8AXkerOHAvJm1EBfQm968xaXmu0/OB4zYzlneA2yQ1ML3fSup1elqOdCL7ntsDkDnUOdOqQmdoLwWVizoZYFwDhxaWMPjxzv7Ifs6iCn+Mq0PO2FzZy/Yf2wlyFRxM9OBZnjIXuBSqw5DIW7bcysNfO/AAgD+A3zYDVwEMbZSqzIjt2fWzBisX7R2UqunbZsEAPzgqeWAkTMVzPZv3suWDjDBxjx4eDEQ/J+8dYL1NYcF9DZ85IBQJ3fPo8cBdIIYbkZsUMVis+1DZBlNMnJAOO/v+MHRnr9zwfO8UGYgB3I1sR+aff9CL9r2gXt+2JkHJ23mXQeTQbHDYL2s6QvN6d398NFjK/jhkc7F9sTNzPthdwyGpZddsYPDUExXy0EfwdseOgIAOG0b76INNTH9qdVuEGNQGwWEwezBhTU8cmQZQHioc2EiprOD6TE4ffsUAOD+g4s4tCgCOe4xGFzwIebBpOExEAe2WAebJsqsVWrAcCZi2dIt/OQtnbX/Hw92xoA7iAEG+0rK/2+yehkI94NwP5xkf81Bh/hyd12YDmJkvehXu2PAHsR098NGy+/pvWyrYnPPpnGMFQuoN9u47eHOGIg9kgtTQ2xo1pxGziEJTtna2aiEqFP8nQvDDIGFIaZpRm7HdAWz42W0fQQC76ft4F20w5gYIfyfMLxxPW175zM/tlyH73dc3LczGoACEUGMCOgNz4Ozd08DkNbBFt4LDRCm0PuZWTEG01WzY3Dmrs4YPNHVx53BfHgBcu/l8AAXc8JGf0mx9kV63UggNyCtZktqAgDP2Nk7D57e/TsX5CBF3hNtSQyKBS9g44UlFfc8EGPQz8g5+xGHRDjvxNmev5+9a4b19WRdkNyWJ0itGt64PM/DObvD97x1cgzbmIOY4alVO2nFTRO97/ns3dPsvk3DLAdWLM2Dc3bPBlolADh7N+86AIDxsc72Jh9e7bZvbQz61/4zdvIHcuKQlrucLEuXOtP9JZ91Qu9+eNYu3iAGGHyI2yr+AoBn7umdB+cwr4Wy1K5uWWLowyDGRjAbzv1y0QvYai5MDqnctWEOzgEXyDHjOSdvDv7/6TumMMvclkgcTr4/5AZqYcL+yKnhGDxX+n8uDNOHrVhKpwDA80/fEvz/BSfzj4HYnIcWOxhOrY6PFXGmxDw85xQT82C9KbJ8kJnssQkAz9g11fOazz99K/trBkFMfX0QY4ONuuCkTT1/v9DIPFjP0NuyYwJ65/6WyTH21CogmwLLlbuCkTMfBux92rbg/y84aTN75bCY6yuNFtqyDY1j5ByS4NJzdgbl1q/5kZPYX29irAhxyV5aG3ADtbB5//RzTkS52HkoU2MADPAMslRuDwA/e+GJADp2Cz99wQnsrze02CEQeZufB7/4/FMAdPRxl52zi/31qgO89MT7LxY842nFSqkYfPZP3zGFZ/exUxwQgaPMRCxZ0kkCwElbJvCjZ3QC2Jecs5O9TRsg+ajV188DG/vh3tO3BgzUq597ImvVrsCggo9QH2Z+DC575s5A2vCfDZwJYq73Exy2LFioYf4TzBmmKiV89o0/igcOLuCSZ+xgfz3P8zA1VsJirYmlWhPiFcN0ivkJe9q2SXz2jT+KtUYLF56yJf4XUmK8HN4+fd8P0kc2GyRfcuYO/O1/3YuJsWKgkeHEoGKHVtu3aoD5CxedjFO3TuCEzePszDQwmIlZktaB6bQiAPzuT52DHz1jK/aevs3IAS6YiKXa+tSqaUZS4M/+y3Nx20NH8IIztsX/MAEGVW3azFCMlQr4u1/bi289NodLz95p5DUngoB+/TywwUbtmK7in65+AQ7Or2Hv0/iZ6fFyh+Dw/Q47PdlX/DDq9iMukDOAEzaNsxt/ypiqhoGcgEit2LiBAsAz9/CzDwIiUGv7HUf3at9t1MYNFACedxp/ECswqNhBPshspNUA4GJDhzcg60VlZtpuEDNWKuDyZ+029nqTAxi5YC+wtA6mKiVc9kx+RlZgkMzAlg2PwM6ZKl5icAwmx9YHs0uWin4ETts2aaTYBegQHJNjJSzVmp1gtnuXXq7b3Q+o4FKrGxDhLXy9HsJkayZbkG+Ycnp12eIt3DQG6cNsVivawPgARi60XxntjTsppgZZb1jUyNlAwMjJ+6HF9LINDLJkyttaGFT0srRBxmDj7+Y5xGQEjW7rBmoSJalKS2xcvu8HmsHpKn9azzYCjZxUvSxv3DbSiqYxPkAXtFE27qQQ672HnQ9YyXwEMYPYaduMnGlMRDByo85GJcUgLznbDD0VXCC3ATEdMHKN4Gs2Re42MNnHRNSabTS71UpTllIJJiEOr1bbR73V8RALbDdyMgcGWbBslFRKUgTFDgMOcFsyC9OYHFDsYKt62xYGaeTyFsgNNIbeIOy0C+Q2IMTm1CNwDjRy+di4BOu20GXhFrv/9TzzhsA2IL9HkVq01d3DFgbpw5aCjTtfYyDvBSs5C2YHFf6EPnL5GIPJQZeaDRLEJEVYvdyZB77vh3KbEd8PXCC3ATFV6QQxIpXo+37u2Bgh4F1c67CSwe1zrGSkWtA2BqWXly16Z9mACFQW19anFfNyePUz04AUzOZkHgyyH7FZtWoD4xH6sLwE9P1WPCv1FoRn/qiPgQvkNiD6Bc61ZhutbloxL2xMGMh1xkAEtXlIqwr0pxLEDdyG/YoNzHRZ2VqzHfSY3CiamKQY5CNnq9+uLQw2BLbnI2cDkxHFDnlZC2GxQ2cMRCBbLHjOENghe+ivWl3oslKe12Gk8gCRWhWB3GJXL2ir1N4GZvrSy2I+zOSg2APoDVTEe89bscOgCva8sZKDuluEGYrRPsCTor+zQ6unVV0+xiAsduiei6udM2GmOvrFXy6Q24AQrFMQyHUn7HQlH2lFYEBqdS1ft09g/RgEG9d4PsagVCwEh7gYg7yxEDIjJ6qX57vzYHY8LwH9eiseMR9yE8yWRTDbK7MAcjQGQQV3ZwwWNpCLgQvkNiD60ynzq53/mnDTzwqm+/RRi0FqNT9j0M/ICWY2L4wcsF4nF1Zv54OFEId02wfWGp30ct4CufE+Rs73fSyIPTEnYxAws2u9l/tKqTDyXQ2Sor/DR7AfboCLrQvkNiAmxwYzcnk6wMPUam+xw3RObp9AyMiJz18cXjM5ObyA9VrJxVq+Anq5erlfapGXIKb/UrfWaAeWPHlZC+Kzns/xXtAvMxDzYboy+mPgArkNiHWp1Zxt3MCAYoecpdSAcJNeXMfI5WcMRMC2FLDT+VoLhYIXsI/LOR0D8T4XVhvwfT94/0VpbDY6Nk2MAQgvdfOr+dsL+tfBRpKauEBuA2JqCI2eR0auP62Yp6rVMLXar5HLzzyYGaITzEsQA/Re7GrNVpBizct+IOZ72++MgRzIjrrIPSnEfJ8TjNxaDveCIRdbp5FzyCTWa+Tyd3j1C/3nljv/3ZwnnWB/anUtX1WrQDgGgpGbW6kDADblaB4Eh/hKI0ipeV5+Krir5SLGur2F51cbuWSm5dRqRyOYvzNBvNfjK533vriB9kMXyG1ArLcfEXqI/Gxc/anVudXOAT7bTTHkAetuoBsolZAUcrFDu+3n8lIj0mrHV+rB+89TBTsgp1ebmF/J3xwQ77XV9rFcb0mp1fyMwebuOpjvXuYCN4cNENC7QG4DQhzUi7UmWm0/lxtXUOzQ9Y+bW8kxI7fWl07J0eYdpJdXG1iqN9H1xc7VWhBzfk4K5PJUwQ6E7Nv8aiMMYnI0B6rlQh8rmb/LvWDh5/oyFC6Qc8gkxM3D9/tSCTnauGb6GbluILdpPEeMnBTEAPlMsW+e7HzeR5frwYUmT5YLQLgfHF9p5DKYB3pTi3kM5DzPk1Ls9VzqpsXev1JvodZs4fhyh5nbMjn6Z4IL5DYgysVCEMgcW67lkkaXOzv4vh+kVvOkjZKD2ZV6MxC5b94AG1dSbO2+12PL9VwGskBvajWP2ihASq2uNXI7D+Rg9shSDQCwdapi85GMYrpaglATzK80cNQFcg5Zx5bgAMvnxiUCtlZXFxUwcjkK5OQD/OhSZ9Oqlgu5sVwAwnVwdLkezIE8rQNATq3mcy8ApCBGGoNNOR2DhdVGsB9smxr9ICYpCgWvp3r32HI3mJ0c/WDWBXIbFGEgVwtuX9tydPuqlovBot1/bAW1btP0TTkqdtg+3fm8jy7XcWhhDUBn08qL5QIAbJ0K18HR5fytAyBMrc5JAX2eWFkA2NI9rI8s1/BUDvdDoJeRO7qBghgVBJfb5TqOCUZuAwSzLpDboAg2rqU6jojb1/ToT1gViEDmvgMLAPLJRhW8jlbygUOLAIBt0/nauMU6OLZUx+GFzuG1PWdjIFjo4yuNIIjZnrMgRnzmTy3W8NRiN5DL2zyQ7DdEQL91AwQxKhDB7GPHV9FodSqftm6AS40L5DYotkx2JuwjR5bRaosJm6+NSxxW332yE8htn84XG1UseIEGRgSz2zbApqUCwUwv11t4/PgKAGBHzg5wwb7NrdRxJKdBzA4pkDuS02BWfOYH59dwbCWfgZwI2r7fvdhOjhU3ROGTC+Q2KAQTISbspolyUH6eF4hbeBDI5WzjBsL3fN+BLiOXszGYqZZQLnaC9/sPdsYgb4ycOLwOL9YkRi5fB7jMyIlgdnvOMhS7Z6sAOpc6v2vDsyVHUhMA2L2pMwb3Pj4PYGOkVQEXyG1Y7JzpbFz79s8ByGcQI27h33mis2jzdoADwI7uPPheN5jN2w3c87yAlROsZN7mwZ5N4wA6tgsPdIPZHTNVm49kHGId7D+2EviHbZ/K1xiIQO5bj88B6LDVpWK+QgCxFu5+9BgAYPfsuM3HIUO+PsUc4aTNEwA6psAAcPKWCZuPYwXiwBaFDrkcg24Av9poAQBO3Jy/MRDvWRzgu2bzdYBXy8WgOnGl3pkHJ+VsHoh1IN7/dLWUKzNcANjVDVqEDdFJOdwP93THQOjjNso6cIHcBsXJW3snaB4X7e5Nvbetk7dOWnoSezhhc+8YnLo1f/PglL73fNq2/M2DPdJaGJcCu7xgy+RYT6HTKVsncqWXBUJGTiCPF9v+MThxs2PkHDKM/gmax0V71q7pnr+fksMxOHNn3xjkMIg5ZUv4nqvlAnZO54uRA3rX/8lb8hfEeJ6HM3ZMBX+X50ResH2qEvQeBoCTt2yMIEYF/YRG/yVvVOECuQ2KibFSzyQ976RZi09jB/3My9m7Zyw9iT08QwpmJ8eK2J0zbRQAnLMn/NzP3j2Tq2bxAhecvDn4/2efmL+9AACeIV1q5DmRFxQKHp51Qvi+n31C/ubB7tlqjyn8uSdusvcwhHCB3AbGi87aCaCTVnhWDhdtuVjAT5y5HUBn08qbyB0ATt82GaRTX3zOzlwGMXuftjVIq73orB2Wn8YOXnDGtuD/X/iM7RafxB4uf9au4P9/4sx8zoMfe3rns6+WC3j+6VstP415eJ6HS8/unIsnbh7H6RskQ+H5vihEdojCwsICZmdnMT8/j5mZ0bjNLdWa+PBXfoAXPmMbLjxli+3HsYIn5lbxt3c9hldecEIutVEA8NDhJfz79w7iF553cq46W8i4+4fH8M39c/gve0/ZEL5ROvjXew9gbqWBn3/eSblLrQr833sex3i5iJedu9v2o1hBrdnCh7/8A5x/8qYgqMsb5lcauOlrP8Rlz9qJs3aNxlkeBxfIJcQoBnIODg4ODg4OGxsuterg4ODg4ODgMKJwgZyDg4ODg4ODw4jCBXIODg4ODg4ODiOKkQvk3vOe9+Diiy/GxMQENm3alOh3Xve618HzvJ4/l19+Oe+DOjg4ODg4ODgwY+R6lNTrdbz61a/G3r178bGPfSzx711++eX4xCc+Efy9UsmfFYWDg4ODg4PDxsLIBXLveMc7AAA33XST0u9VKhXs2rUr/gcdHBwcHBwcHEYEI5da1cWtt96KHTt24Mwzz8Sv//qv4+jRo5E/X6vVsLCw0PPHwcHBwcHBwSFLyEUgd/nll+NTn/oUbrnlFvz+7/8+vvzlL+OKK65Aq9Ua+jvXX389Zmdngz8nnXSSwSd2cHBwcHBwcIhHJgyB3/a2t+H3f//3I3/mvvvuw1lnnRX8/aabbsKb3vQmzM3NKb/eD37wAzztaU/DF77wBbzoRS8a+DO1Wg21Wi34+8LCAk466SRnCOzg4ODg4OCQGWRCI/eWt7wFr3vd6yJ/5vTTTyd7vdNPPx3btm3DQw89NDSQq1QqriDCwcHBwcHBIdPIRCC3fft2bN9uru/b448/jqNHj2L37nz223NwcHBwcHDYGBg5jdz+/fuxb98+7N+/H61WC/v27cO+ffuwtLQU/MxZZ52Fz3zmMwCApaUl/NZv/RbuuOMO/PCHP8Qtt9yCV7ziFTjjjDNw2WWX2XobDg4ODg4ODg6pkQlGTgXXXXcdPvnJTwZ/v+CCCwAAX/rSl3DJJZcAAB544AHMz88DAIrFIr797W/jk5/8JObm5rBnzx685CUvwbve9S6XOnVwcHBwcHAYaWSi2GEUsLCwgNnZWVfs4ODg4ODg4JAZjFxq1cHBwcHBwcHBoQMXyDk4ODg4ODg4jChcIOfg4ODg4ODgMKJwgZyDg4ODg4ODw4jCBXIODg4ODg4ODiMKV7WaEL7vY3FxEdPT0/A8z/bjODg4ODg4ODi4QM7BwcHBwcHBYVThUqsODg4ODg4ODiMKF8g5ODg4ODg4OIwoXCDn4ODg4ODg4DCicIGcg4ODg4ODg8OIwgVyDg4ODg4ODg4jChfIOTg4ODg4ODiMKFwg5+Dg4ODg4OAwovj/ARZZleeOpMckAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.plot.Plot at 0x297f1bfffa0>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp.plot(solution2.rhs.subs({x0: 1, v0 : -1, omega0 : 2, omega : 3, phi : 0, A : 1}), (t, 0, 50))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.plot.Plot at 0x297f1b2d7e0>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp.plot(solution2.rhs.subs({x0: 1, v0 : -1, omega0 : 2, omega : 2.5, phi : 0, A : 1}), (t, 0, 50))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "pisa-uDfVh2Mu-py3.10",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}