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what is the trapezoidal approximation of the integral of f(x) from 1 to 5?
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
264.0
float
arithmetic
undergraduate
202
202
1
what is the Simpson's approximation of the integral of f(x) from 1 to 4?
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
154.0
float
arithmetic
undergraduate
203
203
1
Which of the following descriptions is correct for approximating the integral of f(x) from a to b? choices: (A) trapezoidal sum underapproximation (B) left Riemann sum underapproximation (C) left Riemann sum overapproximation (D) Neither
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
B
multiple choice
analytic geometry
undergraduate
204
204
1
Which of the following descriptions is correct for approximating the integral of f(x) from a to b? choices: (A) trapezoidal sum underapproximation and left Riemann sum underapproximation (B) trapezoidal sum underapproximation and left Riemann sum overapproximation (C) trapezoidal sum overapproximation and left Riemann sum underapproximation (D) trapezoidal sum overapproximation and left Riemann sum overapproximation
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
A
multiple choice
analytic geometry
high school
205
205
1
The two semicircles are in the figure above. What is the total length of the darkened curve?
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
35.9911
float
plane geometry
high school
206
206
1
What is the measure of ∠C? Answer the question in degrees.
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
22.0154
float
plane geometry
high school
207
207
1
What is the measure of ∠B? Answer the question in degrees.
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
32.7034
float
plane geometry
high school
208
208
1
Are three lines in figure the same length? choices: (A) Yes (B) No
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A
multiple choice
plane geometry
high school
209
209
1
Is the distance between the two orange lines as long as the distance between the two purple lines? choices: (A) Yes (B) No
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A
multiple choice
plane geometry
high school
210
210
1
Are the red line and the blue line the same length? choices: (A) Yes (B) No
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QghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakIIQGpCCEBqQghAakJYhwYGBl5++eUtW7YUfQgk9cILL7z88ssDAwNFH8JlaahUKkXfwLU0MjKycuXKQ4cORUxauLCrqemOoi+CXIaH3zl+vC1iaMqUZX19+xobG4u+iE/QVPQBXGONjY3333//oUOHIgaPH38x4uWiL4JsXowYioimpvtVsCZYhHXo5MmTCxaURkfPRUxcuLCrqelTRV8EWQwPHzt+vD1iqKFh5qpVvXv3ziv6Ij6ZRViH5s+fv379o9u3b48Yuv/+Hf/1X/9V9EWQxYMP7vjv/x6KiI0b127dqoK1wSKsT6dOnWpubj537tzEiRM7OzsXL15c9EVQ/3p7e9vb24eHh2fNmlUul+fNE8La4Fuj9WnevHlr166NiKGhoe3btxd9DqSwffv24eHhiFi7dq0K1hCLsG599NFHzc3NZ8+ebWpqOnr0aKlUKvoiqGflcnnJkiXDw8OzZ88ul8tz584t+iIul0VYt+bOnfvYY49FxPDw8I4dO4o+B+rc2Bx87LHHVLC2WIT17PTp083NzWfOnDEK4brq6elZsmTJyMjI7Nmze3t758yZU/RFXAGLsJ7NmTPn8ccfj4jh4eFt27YVfQ7UrW3bto2MjETEE088oYI1xyKsc6dPny6VSqdPn25sbDxy5Ehra2vRF0G96erq6ujoGBkZmTNnTm9v7+zZs4u+iCtjEda5sVE4MjJiFML1cOkcVMFaZBHWvzNnzjQ3N1dH4eHDh9va2oq+COpHZ2dnR0fH6Ojo3Llze3t7Z82aVfRFXDGLsP7Nnj173bp1YRTCdbBt27bR0dGIWLdunQrWKIswhbNnz5ZKpVOnTk2YMOHw4cPt7e1FXwT14OjRo3feeefo6Oi8efPK5bIQ1iiLMIVZs2ZVR+Ho6OjWrVuLPgfqxNatW6tz8Mknn1TB2mURZnHu3Lnm5ubqKDx48ODSpUuLvghq25EjR5YtWzY6Ojp//vxyuTxz5syiL+IqWYRZzJw588knnwyjEK6RLVu2jM1BFaxpFmEi586dK5VKJ0+enDBhwoEDBzo6Ooq+CGrVoUOHli9fXqlUbrrppnK5PGPGjKIv4upZhInMnDnzqaeeCqMQ/mJbt26troinnnpKBWudRZhLX19fqVQ6ceJEQ0PDgQMH7rzzzqIvgtpz8ODBFStWVCqVm2++uVwuT58+veiL+ItYhLnMmDHj6aefjohKpbJly5aiz4GatGXLluqEePrpp1WwDliE6Zw/f75UKn344YcNDQ379+9fvnx50RdBLTlw4MDKlSsrlcqCBQt6enqEsA5YhOlMnz7dKISr9sILL5iDdcYizOj8+fMtLS0ffPBBQ0PDvn37VqxYUfRFUBv279+/atWqiFi4cGFPT8+0adOKvohrwCLMaPr06c8880wYhXCFxt4vzzzzjArWDYswqQsXLrS0tBw/fjwi9u3bt3LlyqIvgvFu3759d911V0TccsstPT09U6dOLfoirg2LMKlp06Y9++yz1dcvvPBCscdATRh7pzz77LMqWE8swrz6+/tbWlp+97vfRcTevXurj7rAx9q7d+/q1asjYtGiRd3d3UJYTyzCvKZOnWoUwmUyB+uYRZhaf39/a2vr+++/HxF79uy5++67i74IxqM9e/asWbMmIm699dbu7u4pU6YUfRHXkkWY2tSpU9evX199bRTCnzL27li/fr0K1h+LMLuLFy+2tbW99957EfHmm29WPwUBxrz55pv33HNPRNx2221dXV1CWH8swuymTJkyNgo3b95c6C0wHo29LzZs2KCCdckiJAYGBlpbW6ujcNeuXdWHXyAidu3ade+990bE7bff3tXVNXny5KIv4tqzCInJkydv2LCh+toohEtdOgdVsF5ZhEREDAwMtLe3v/vuuxHxxhtvVB+BIbk33njj05/+dETccccdnZ2dQlivLEIi/nAU+vooVI29FzZu3KiCdcwi5H8NDg62t7e/8847EfHrX//6r//6r4u+CIr061//+jOf+UxELF68+OjRo5MmTSr6Iq4Xi5D/NWnSpI0bN1Zf+6QQxt4FGzduVMH6ZhHye4ODg0uWLDl27FhEvP7669XHYUjo9ddf/9znPhcRzc3NR44cEcL6ZhHye0YhVJmDqViE/IGhoaElS5b09vZGxGuvvfbZz3626IvgRnvttdc+//nPR0SpVDpy5MjEiROLvojryyLkD0ycOPG5556rvjYKyWnsd/5zzz2nghlYhPyxoaGhjo6Onp6eiPjlL39Z/aQEkvjlL3/5N3/zNxHR0tJy+PBhIczAIuSPXToKn3/++WKPgRts7Pf8pk2bVDAJi5CPMTw83NHR0d3dHRE///nPqw/IUPd+/vOff+ELX4iI1tbWw4cPNzU1FX0RN4JFyMdoamoyCkno0jmognlYhHy84eHhO++8s6urKyJ27txZfUyGOrZz58777rsvItrb2w8ePCiEeViEfLympqZNmzZVX/v6KBmM/T43B7OxCPmThoeHly1b1tnZGRE//elPv/jFLxZ9EVwvP/3pT//u7/4uIpYsWXLgwAEhTMUi5E9qamr65je/WX3tk0LqWKVSGfsd/s1vflMFs7EI+XNGRkaWLVt29OjRiPjJT35SfWSGOvOTn/zk7//+7yNi6dKlBw4caGxsLPoibiiLkD+nsbHx0lHosYn680dzUAUTsgj5BCMjIytWrDh8+HBE/PjHP64+OEPd+PGPf/zlL385Iu688879+/cLYUIWIZ/g0lG4efNmT07Uk0qlMvZlUXMwLYuQTzYyMrJy5cpDhw5FxI9+9KMvfelLRV8E18aPfvSjf/iHf4iIZcuW7du3Twhzsgj5ZI2NjWMfovikkLpx6aeDzz//vAqmZRFyWUZHR1euXHnw4MGI+OEPf1h9iIaa9sMf/vAf//EfI2L58uX79u2bMMEwSMovPJdlwoQJRiH15I/moApmZhFyuUZHR++666633347In7wgx9UH6WhRv3gBz/453/+54hYuXLl3r17hTAzv/ZcrktHoa+PUtMu/bKoOYhFyBUYHR1dvXr1vn37IuL73//+P/3TPxV9EVyN73//+//yL/8SEatWrdqzZ48QJueXnyvgk0LqwKWfDm7evFkFsQi5MqOjo2vWrHnrrbci4tVXX60+VkMNefXVV7/yla9ExN133/3mm282NDQUfREF8yjElfFJITXtjz4dVEFCCLkK999//9133x0Ru3btevXVV4s+B67AK6+8snv37ohYvXr11772taLPYVwQQq5YQ0PD2DO1UUgNuXQObt682RykSgi5Gl/96lfXrFkTEW+++eYrr7xS9DlwWf7nf/5nz549EXHPPfdUPyaE8GUZrtorr7zy1a9+NSJWr169e/duD9eMc5VKZc2aNXv37o2IV1555V//9V+LvojxQgi5SpVK5d57761+3DJv3rypU6cWfRH8Of39/adOnYqIadOm9fX1eXRjjBBy9ca+hg41ZP78+SdOnCj6CsYRIeTqVSqVm2++uVKpTJkyxfM141ylUrl48eLFixc7OjqqP8mAKiEEIDXfGgUgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgNSEEIDUhBCA1IQQgtf8PixWBrpOdchEAAAAASUVORK5CYII=
A
multiple choice
plane geometry
high school
211
211
1
The curve BD is parallel to the curve AC, and AB=CD=EF=GH. Are the areas of enclosed graph ABCD and EFGH the same? choice: (A) Yes (B) No
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
A
multiple choice
plane geometry
high school
212
212
1
The curve BD is parallel to the curve AC, AB=CD=EF=GH=9, and EG = FH = 45. What is the area of enclosed graph ABCD?
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
405
float
plane geometry
high school
213
213
1
Find the number of integer solutions of x^2 + y^2 <= 16
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
49
float
algebra
undergraduate
214
214
1
Four identical azure right triangles form a square. Given that two sides of the azure triangle are 30,130, find the area of the white square.
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
17800
float
plane geometry
high school
215
215
1
Four identical pink right triangles form a big square. Given that the area of a pink triangle is 30.0, and the area of white square is 136, find the area of the big square.
iVBORw0KGgoAAAANSUhEUgAAAZAAAAGQCAIAAAAP3aGbAAAsDElEQVR4nO3deVyNeeP/8XPalCLZt7E0U6dIQkiTXfZlsmQtoaLTvmtRKdG+1wmFDgrFxIjJ2ENIttJyGvtuGjIpref8/pj7970fM7cZW+d8zudc7+ef1HXew/Ga67qc47BFIhELAIAGcqQHAAB8KgQLAKiBYAEANRAsAKAGggUA1ECwAIAaCBYAUAPBAgBqIFgAQA0ECwCogWABADUQLACgBoIFANRAsACAGggWAFADwQIAaiBYAEANBAsAqIFgAQA1ECwAoAaCBQDUQLAAgBoIFgBQA8ECAGogWABADQQLAKiBYAEANRAsAKAGggUA1ECwAIAaCBYAUAPBAgBqIFgAQA0ECwCogWABADUQLACgBoIFANRAsACAGggWAFADwQIAaiBYAEANBAsAqIFgAQA1ECwAoAaCBQDUQLAAgBoIFgBQA8ECAGogWABADQQLAKiBYAEANRAsAKAGggUA1ECwAIAaCBYAUAPBAgBqIFgAQA0ECwCogWABADUQLACgBoIFANRAsACAGggWAFADwQIAaiBYAEANBAsAqIFgAQA1ECwAoAaCBQDUQLAAgBoIFgBQA8ECAGogWABADQQLAKiBYAEANRAsAKAGggUA1FAgPUDSduzY4efjKxQJSQ+BttHc3CwvLy8nh//1/p2Hp6enpyfpFW2MLRKJSG+QKFNT00eVgmWTp5MeAl+lruH99qO5Ne9q5dhsoUg09/txw7V0SI+SIpmnfr777Om9e/f69etHektbYtwZVlNTE+eb/oFWNqSHwBcSiUQHz512TYmtb2q0sbGxtLTk2tnde/7s4MZwBQXGPZ//SbGgXPD4UXV1tYwFCyfSQJPyh/enejouClo/bNTI8vLybdu2mZiY7MrIKHtwL/HHA6TXgdghWECH2vo6r9QE/TXL7r/+7ejRo0d++klTU/PPnxo+fLjdunWBu7Y9q/6N7EgQNwQLpJ1IJMo6la+z0jzpcE5gYGDpnTuzZs3629eEbNqkrKLiwYsnshAkBsECqVZ679eJrnbLQvyNTL4vLy/39/dXVlb+3y/T0NCIjIrKOpV/5sY1yY8EiUGwQEq9fffONSnGwGbFi/ra/Pz8g4cO9e/f/1++3sLC4ntjY/v4yKbmZomNBAlDsEDqiEQifn4ex3Lh9uNHQkNDb5eUTJ069aPfJScnl8LjCR4/jMvJksBIIALBAulys6pyrJPNyi1BE6ZMrqio8Pb2VlJS+sTv1dfXd3R0DOanP371QqwjgRQEC6TFm9o/HOIiRqy1fNPSdOrUqX379/ft2/dzDxIUFNShYwe35DgxDATyECwgTygUpucd1rZYyD/1c2Rk5M1btyZNmvRlh1JXV4+Oick5d+pE0eW2HQnSAMECwq5VlI2xX2MduWn67FmVlZVubm6Kiopfc8ClS5dOGD/eISGysamprUaClECwgJjf39asjd48ys6qQYF9/vz53bt39+rV6+sPy2azk1NS7j9/FrV/z9cfDaQKggUEtLa2ph4+qG25cP/50/Hx8cXXr48dO7YNjz9o0CBXV9fQvTsfPH/WhocF4hAskLTLd0pG2VnZxYbNMzMTCASOjo7ieNNyQEBA586dXZJj2vzIQBCCBZLz6s3r1eHBY+xXs1RVCgsLd+zc2b17dzE9lpqaWmxc3OEL5/IKL4jpIUDyECyQhJaWlsRD+7UtFuYWXuDxeFeLioyMjMT9oAsXLpwyebJTUvT7xgZxPxZIBoIFYldw+8aIdZbOidGLly4RVAnWrVsnLy8vgcdls9lJycmPX70Mz+RL4OFAAhAsEKPnv1dbhAaMc7JV1uh05cqVrdu2de3aVZIDOByOh4dHWFbG3adPJPm4ICYIFohFc0tLzIG9HMuFP18vSktLK7x8eeTIkUSW+Pn59ejRwykximn/GrhMQrCg7Z25cW2YzQrP1ATLlSsrBZVr1qwh+CERqqqq8QkJxy5fPHLxPKkN0FYQLGhLT169XLLRd5KrnXrP7sXFxUnJyZ07dyY9ijVv3rwZ06c7J8XUN+DuO90QLGgbTc3N4ZkZOivNz965lZGRceHiRQMDA9Kj/oPNZicmJb1483vonh2kt8BXQbCgDZwoujxkzVK/dJ6NrU2lQGBpaclms0mP+otvv/3W29s7ct8eweOHpLfAl0Ow4Ks8fPF8QYDXNE/HXgP637hxIzYuTl1dnfSoD1u/fn3fvn0c4iNx951eCBZ8oYbGxk38dF0r88tVFZmZmWfOnh0yZAjpUf9GRUUlMSnpl2tXDp47TXoLfCEEC75EXuEFvdVLN/LTHBwcKiorly5dKm3XgB80a9asuXPmuCTHvKuvJ70FvgSCBZ/n3rMnc33dZvu4DuBo3b59OyIyskOHDqRHfYb4hITfa/8I2Z1Oegh8CQQLPtX7xobAnVsHWS2++eh+dnb2LydP6urqkh712QYMGODn5xeTnVn24B7pLfDZECz4OJFIlFtwdpDV4rAsvru7e3lFxcKFC6m4BvwgT0/PgQMG2MdH4O47dRAs+IiqJ49meruYbfDU0R9SWloaunmzqqoq6VFfpV27dolJSWdvFO87fYL0Fvg8CBb8o7r37/3SUvRWLal4+TQ3N/fY8eNaWlqkR7WNadOmLZg/350X/0fdO9Jb4DMgWPABIpEo5+wpXSvz6OxMH1/fsvLyefPm0XsN+EGxcXFv6+uCdm0nPQQ+A4IFf1f+8P5UT8dFQeuHjRpZVlYWFBSkoqJCelTb++abbwICAhIO7S+59yvpLfCpECz4r9r6Ok9evP6aZfdf/5aXl3f4yBFNTU3So8TI1dVVW0uLGxeOu++0QLCAxWKxRCJR1ql8nZXmyUcOBgUFld65M3PmTNKjxE5JSSkpOfnC7Zu7TxwjvQU+CYIFrNJ7v050tVsW4j9mrEl5ebmfn5+ysjLpURIyadKkJUuWeG5NqKmtJb0FPg7BYrS37965JEYb2Kx4UV+bn5+fc/Bg//79SY+StOjo6Pqmpg07UkkPgY9DsBhKKBRm/HxU23JB2s8/bd68+XZJydSpU0mPIqN3794bN25MOZxzXVBBegt8BILFRDerKsc62VqFbZw4ZUpFRYWXl5eSkhLpUSQ5OjoO0tXlxoULhULSW+DfIFjM8qb2D/u48BFrLWtam06fPr1v//6+ffuSHkWeoqJiCo93pax05/GfSG+Bf4NgMYVQKEzPO6xtsXD3qfyoqKibt25NnDiR9CgpMnbsWAsLC+9tSb+/rSG9Bf4RgsUI1yrKxtivsY7cNGPO7MrKSldXV0VFRdKjpE5kZGSzSOiXxiM9BP4RgiXjqmtqbKNCR9lZNSiwCwoK+Hx+r169SI+SUj169Ni0adO2oz8WVdwhvQU+DMGSWa2tramHD3JWLjxQcCYhIaH4+nUTExPSo6SdnZ3dUH19u9jw1tZW0lvgAxAs2VR45/YoOyu72LAf5s8XCAQODg4KCgqkR1FAQUEhhccrrizffjSX9Bb4AARL1rx683p1eLCx/RqWqkphYWH6jh3du3cnPYomY8aMWb1qlW96ym81b0hvgb9DsGRHS0tL4qH92hYLD1++mJqaerWoyMjIiPQoKoWFh7Pk5NdvSyI9BP4OwZIRBbdvjFhn6ZwYvXjpEkGVYO3atfLy8qRH0apbt26bt2zecezIpdJbpLfAXyBY1Hv+e/WKTRvGOdmqdNa4evXq1m3bunTpQnoU9WxsbAxHjODGRbS0tJDeAv+FYFGsuaUl5sBejuXC/BvX0tPTLxUWGhoakh4lI+Tl5VN4vNt3q3hHDpLeAv+FYNHqzI1rBtbLPVMTVlpZCaoEq1evlpPD72ZbGjlypK2Njf+O1Be/V5PeAv+Bpzh9nrx6uXijzyRXO43ePYuLixOTkjQ0NEiPkk2bt2xRVGrntTWR9BD4DwSLJk3NzeGZGTorzc/duZ2RkVFw4YKBgQHpUbKsc+fO4RHhu08cO3/rOuktwGIhWBQ5UXR5yJqlfuk8G1ubSoHA0tJSxj7GRjqtWrVqjJERNy6iGXffpQCCRYGHL54vCPCa5unYa0D/mzdvxsbFqaurkx7FFHJycskpKeUP7yce2k96CyBY0q2hsXETP13XyvxyVUVWVtaZs2f19PRIj2KcYcOGcbncwF3bnv72ivQWpkOwpFde4QW91Us38tMcHBwqKiuXLFmCa0BSQkJC2quqefDiSQ9hOgRLGt179mSOj9tsH9eBOtolJSURkZEdOnQgPYrROnXqFBkVue/0iVPFV0lvYTQES7rUNzQE7tw6yGrxrcf3c3JyTvzyi46ODulRwGKxWBYWFmNNTBwSopqam0lvYS4ES1qIRKLcgrODrBaHZfE9PDzKKyoWLFiAa0DpwWazk1NSqp48is3OJL2FuRAsqSB4/HDmehezDZ6DDPRLS0s3hYaqqqqSHgV/N2TIECcnp2B++qOXL0hvYSgEi7C69+99tycPWb204sXT3NzcvGPHtLS0SI+CfxQUFKTeSd0tJZb0EIZCsIgRiUTZZ0/qrFwUk5Pl4+tbVl4+b948XANKuY4dO0bHxBw8dzr/aiHpLUyEYJFR/vC+qYeDeZDP8NGjysrKgoKCVFRUSI+CT7JkyZKJEyY4JEQ1NDaS3sI4CJak1dbXefLi9dcse/CmOi8v7/CRI5qamqRHwWf48+77gxfPovbvIb2FcRAsyRGJRJknf+ZYLko+cjAoKKj0zp2ZM2eSHgVfQldX183NLXTvzvvPn5LewiwIloSU3Pt1gsu65Zs2GI8bW1FR4efnp6ysTHoUfLkNGzZ07drVJSmG9BBmQbDErqa21iUxepjNipfv3504cSLn4MF+/fqRHgVfS01NLTYu7sjF80cvFZDewiAIlhgJhcKMn49yVi5M+/mnzZs33y4pMTU1JT0K2syCBQummpo6JUW/b2wgvYUpECxxuVFVOdbJ1ips4yRT08rKSi8vLyUlJdKjoC2x2eyk5OSn1b+FZWaQ3sIUCFbbe/3HW/u4cMO1ljWtTadPn87at69Pnz6kR4FYaGlpeXp6hmfxf33ymPQWRkCw2pJQKEw7msuxXLT7VH5UVNTNW7cmTpxIehSIl6+vb8+ePZ0So0QiEektsg/BajNFFXeM7FfbRIXOmDNbIBC4uroqKiqSHgVi1759+/iEhONXLuVeOEt6i+xDsNpAdU2NbVToaLtVjQpyBQUFfD6/Z8+epEeB5MydO3fWzJnOSTF179+T3iLjEKyv0trayjuco2254EDBmYSEhOLr101MTEiPAkljs9kJiYmvat6E7tlBeouMQ7C+XOGd2yPtrLix4WYLFggEAgcHBwUFBdKjgAxNTU0fH5+o/XsrHj4gvUWWIVhf4uXr31eFbTS2X8NWVSksLEzfsaN79+6kRwFh3t7e33zT1xF338UJwfo8LS0tCQf3cSwXHblyKTU19WpRkZGREelRIBWUlZUTk5JOXruSffYk6S0yC8H6DOdvXR++1tIlKWbJsqWCKsHatWvl5eVJjwIpMnPmzB/mzXNNiautryO9RTYhWJ/kWfVvKzZtGO+8tn0XjatXr6Zu3dqlSxfSo0AaxcXHv3lXG5yRRnqIbEKwPqK5pSV6/x6O5cL8G9fS09MvFRYaGhqSHgXSq3///v7+/nEH9925f5f0FhmEYP2b09eLhlov99qaaLVqlaBKsHr1ajk5/IrBR7i7u2sOHGgfH4m7720Of/w+7Mmrl4s3+kx243bu3bO4uDgxKUlDQ4P0KKBDu3btkpKTz90szjz5M+ktsgbB+rvGpqawvbs4lovO3bnN5/MLLlwwMDAgPQooY2pqumjhQo/UhLfv3pHeIlMQrL/Iv1qob73Mf0fq2nVrKwUCCwsLfIwNfJmY2NjahveBO7eSHiJTEKz/ePD82fwNXtO9nHoN6H/z5s2Y2Fh1dXXSo4Biffv2DQwMTPzxwK1fBaS3yA4Ei9XQ2BjCT9O1Mr/ya0VWVtaZs2f19PRIjwJZ4OLiosPh2MdHCoVC0ltkBNODdfRSweDVS4L56U5OTpUCwZIlS3ANCG1FUVExOSXlYslNfn4e6S0ygrnBuvv0yRwftzm+bpo6nJKSkvCICDU1NdKjQNZMmDBh2bJlXtuS3tT+QXqLLGBisN43NgbsSB28avGtx/dzcnJO/PKLjo4O6VEgs6Kiohpamv3TeaSHyAImButk8dWwLL6Hh0d5RcWCBQtwDQhi1atXr+DgYN7hg8WV5aS3UI9xwWpoaJCXk09LS9sUGqqqqkp6DjCCg4OD3uDB3LgI3H3/SowLlrKycquw9cjhw6SHAIMoKCik8HhXy0vTj+GJ91UYFywWi6WkqHjoxx+LiopIDwEGMTExWbly5frtyb+/rSG9hWJMDNbk4SP1v9WyW7eutbWV9BZgkPDw8FYWy2d7MukhFGNisBTk5Xmu3sXXr2/fvp30FmCQHj16hIaGpuUdvlJWSnoLrZgYLBaLNWaw/uqZc319fH/77TfSW4BB1q1bZzB0KDcuAmf3X4ahwWKxWGG2Dixh63pvb9JDgEHk5eVTeLzrgvKtPx0ivYVKzA1Wt04aW6ztd+zceenSJdJbgEGMjIys16zxS0999eY16S30YW6wWCyW9ax5hjqDuHZ2LS0tpLcAg2wJC5NTUPDemkh6CH0YHSx5efkUF6/bJSU8Ht42AZLTtWvXLWFbdv189GLJLdJbKMPoYLFYrJE6g21nm/n7+7948YL0FmAQa2vrUSNHcuPDcXb/WZgeLBaLtdmGqyQn7+XlRXoIMIicnFxySkrJ3V+Tc7NJb6EJgsXq3FE93NZh9+7d58+fJ70FGMTQ0HDd2rUBu7Y9/72a9BZqIFgsFotlNX32GD19rp1dc3Mz6S3AIJtCQ5XaKXvy4kkPoQaCxWL9eX7u7FVeUZGYiL+4Acnp3LlzRGTE3pM/n71RTHoLHRCs/ximxeHOWxgYGPj06VPSW4BBVq5caTxmjH1CRDPuvn8CBOu/QlavU1Vq5+HhQXoIMMifd98rHj6Iz8kivYUCCNZ/derQIXKd0759+06dOkV6CzCIgYGBg4NDUEbak1cvSW+RdgjWX6wwnTF26DAHe/umpibSW4BBgoOD1TqouePu+8cgWH/BZrOTnb2qfv01NjaW9BZgEHV19ajo6ANnfjl57QrpLVINwfq7IZrfOc1fHBwc/OjRI9JbgEGWL18+buxY+4TIRpzd/zME6wOCrGzU26u6ubqSHgIMwmazk1NS7j59EpO9l/QW6YVgfUBHVbUYO5eDhw7l5+eT3gIMoqen5+LiErJ7x6OXeGfrhyFYH7Z4kunEYYYO9vYNDQ2ktwCDBAYGamhouCTFkB4ipRCsD2Oz2ckuXg8ePoyKiiK9BRikQ4cOMbGxPxacOX7lIukt0gjB+ke6/Qe6LVoWGhp6//590luAQczNzSdPmuSYEN3Q2Eh6i9RBsP7NBos1XTuquzg7kx4CDMJms5OSkx+9ehGxj096i9RBsP6NWvv2cfZuR3766ejRo6S3AIPo6Oi4u7tvycy49+wJ6S3SBcH6iPnjJk4daeTk6Pj+/XvSW4BB/P39u3Xr5pyIu+9/gWB9BJvNTnL2fPr0aVhYGOktwCCqqqpx8fFHCwuOXDxHeosUQbA+TqtvP8/FFuHh4b/++ivpLcAgZmZm06dNc0qMqcdra/4/BOuT+K5Y1VOji5Ojo0gkIr0FmILNZickJj5/Xb1l707SW6QFgvVJ2isrxzu4Hf/559zcXNJbgEG0tLS8vb0j9u2ueoJ3trJYCNanm/v9uFljTJydnOrq6khvAQZZv3597969HROicHbPQrA+HZvNTnB0f/XqVWhoKOktwCDt27dPSEzMv1r4Y8EZ0lvIQ7A+g2bvvj7LrKKioioqKkhvAQaZM2fOnNmzXZJj6xj/2hoE6/N4L7X8pnsPRwcHnJ+DJMUnJPz2tiaEn0Z6CGEI1udRbtcu0dHj5KlT2dn4wF6QnIEDB/r6+kZnZ5Y/ZPQ7WxGszzbT6PsfTCa4urjU1taS3gIM4unp2b9fP4f4SCaf3SNYXyLOwe3NmzfBwcGkhwCDKCsrJyUnn75edODML6S3EINgfYn+PXv5r1gdFxd3584d0luAQaZPnz7fzMyNF19bz9DX1iBYX8jdfLlm7z72XC6Tz89B8mLj4mrq3gXt2kZ6CBkI1hdqp6SU5OR57vz5zMxM0luAQfr167dhw4b4g/tL7zHxna0I1pczNRy9aMIUdze3t2/fkt4CDOLm5vbdt9/aM/LuO4L1VWK4Lu9q3wUGBpIeAgyipKSUnJJy/tb1vb8cJ71F0hCsr9K3e4/AldaJiYm3bt0ivQUYZPLkyYsXL/ZITahh2GtrEKyv5bJwqU7/AfZcrlAoJL0FGCQ6OrquqTFg51bSQyQKwfpaigoKyU5eFy9d4vPxkQEgOX369AkKCkrOzb5ZVUl6i+QgWG1gwrARy6ZM8/L0fPPmDektwCBOTk66Ojrc+AjmnN0jWG0jys6l4f17fz8/0kOAQRQVFZNTUgpLb2fkM+VTnRCsttGrS9dgK1teampxcTHpLcAg48ePX7FihdfWpNd/MOK1NQhWm3EwM9fT/I5rZ8ec83OQBpGRkU3CVr80HukhkoBgtRkFBYUUZ6+rRUXp6emktwCD9OzZMyQkZOtPh65VlJHeInYIVlsy0TdYOW3Weu/11dXVpLcAg3C5XP0hQ7jxEa2traS3iBeC1cYi1jm1Njf7+viQHgIMoqCgkMLjFZXfST92mPQW8UKw2lh3jc6ha9alpadfuXKF9BZgEGNj41VWVj5pKdU1NaS3iBGC1fbWzV1goMXh2tnJ/Pk5SJWw8HAhi71+WxLpIWKEYLU9eXn5FGev6zdubN3KrLdNAFndu3ffvGVz+rHDl++UkN4iLgiWWBgNHmI9a56fr9+rV69IbwEGsbW1HTF8ODc+olVGX1uDYInLFhsHOZbI29ub9BBgEHl5+RQe72ZV5cniq6S3iAWCJS5dO3XaYs3dtWvXxYsXSW8BBhk1apSNtXVTczPpIWKBYImR9awfRunqce3sWlpaSG8BBlljba3crh3pFWKBYImRnJxcsrNnSWlpcnIy6S3ACHV1db4+PmPHjm1obCS9RSwQLPEy1Bm0bu78gICA58+fk94CskwkEmVnZ+twODExMT5LV04ZMYr0IrFAsMQu1JqrJCfv6elJegjIrPLyctMpU8zNzYf11yzbtT9ola0KLgnhy2h06Bix1mHv3r1nz54lvQVkTW1traeHh76+/oPKqqNbYo9sjtHs3Zf0KDFCsCRh5bTZxnpD7bncZhn9uxuQPJFIlJWVpcPhJCcnB620Kd2RNWuMCelRYodgScKfd98rKivj4+NJbwFZUFpaOnHChGXLlo3R1i3fdcDPYrWs/rXg3yBYEmKgxXEwWxQUFPTkyRPSW4Bib9++dXF2NjAwePHgUX5kYs7G8P49e5EeJTkIluQEr1qn1k7Z3d2d9BCgklAozMjI0NbSTtuettmaezs9c+pII9KjJA3Bkhx1NbWodU4HDhw4efIk6S1AmZs3b441MbGyspqoN7Qi44DXUkslRUXSowhAsCRquemMcUOH23O5jTL6uj5oc2/evLHnckeMGFHz/OXpWN6+wM19u/cgPYoYBEui2Gx2srPn3Xv3YmJiSG8BaScUCtPS0rS1tHfz+VF2zjfT9k4cZkh6FGEIlqTpaX7nsmBJSEjIo0ePSG8B6XXt2rUxRkY2NjbTh4+s5Oe4LlqmqKBAehR5CBYBgVY2GmodXJydSQ8BaVRdXW1rYzNq1KiGNzXnE7bt9gvu1aUr6VHSAsEioEN71Rg75x9zc48fP056C0iR1tbW1NRUjjbnwL79CY4exan8sfrDSI+SLggWGeYTTSePGOXo4NDQ0EB6C0iFwsLCUSNH2tnZ/TDGRLA7x2G+uQKuAf8HgkUGm81OcvJ89OhxREQE6S1A2KtXr1avWmVsbMyqe1+YvCPda0N3jc6kR0kpBIsYnf4D3M2Xbdmy5d69e6S3ABktLS2JiYnaWtqHf/wx1c3nKm+X0eAhpEdJNQSLJH+LNd3UOzk7OZEeAgQUFBSMGD7c2dl58fhJAn7O2rnz5eXlSY+SdggWSaoqKnH2rkfz8o4cOUJ6C0jO8+fPV6xYMW7cOJVW0VXerq3uvl3UO5EeRQcEizCzsROnjzZ2cnSsr68nvQXErrm5OSYmhsPh5OcdS/facCkp3VBnEOlRNEGwCGOz2QmO7s+fP9+yZQvpLSBeZ86cMRg61NPT03LydMHunNUz58rJ4Q/g58GvF3lafft5L7WMiIioqqoivQXE4smTJ4vNzSdNmqShoFS8lZ/k4qXRoSPpUVRCsKTC+mVWvbt0dXRwEIlEpLdAW2pqagoPD9fR0Tl36nSGT1BBwnYDLQ7pURRDsKRCe2XlBEf3/BMnDh06RHoLtJkTJ04M0dPz8/OzmTG3kp9jOW0Wm80mPYpuCJa0mGM8bo7xWBdn57q6OtJb4Gs9fPhwwfz506ZN66Xa8eb2PbEObupqaqRHyQIES4rEO7pXV1eHhISQHgJfrqGhYdOmTbq6upcvXMzaEHomlqen+R3pUbIDwZIiA3v18V1uFR0dXV5eTnoLfIm8vDy9wYM3btzoMG9hRcaBJZOn4hqwbSFY0sVzsUX/Hr0c7O1x950u9+7dmzN79uzZswd27laSnhWxzqlDe1XSo2QQgiVdlNu1S3LyOH3mzP79+0lvgU9SX18fGBg4aNCgW9eKczaGn4hM1Ok/gPQomYVgSZ3po43nj5vo5upaW1tLegv8G5FIlJubO0hXN2zLFo9Fy8t3HVgwfhKuAcUKwZJGsfZub2veBgUFkR4C/0ggEMycMcPMzGxQr76lO/dtsrZTVVEhPUr2IVjSqF+PnhssVsfHx5eWlpLeAn9XV1fn6+MzZMiQitsluZui8sLitPr2Iz2KKRAsKeVmvvy7Pt/Yc7m4+y49RCJRdna2DocTExPjs3Rl2a7980zG4xpQkhAsKaWkqJjs7Hm+oGDPnj2ktwCLxWKVl5ebTplibm4+fMC3Zbv2B62yVWmnTHoU4yBY0mvyiFGLJ5l6uHvU1NSQ3sJotbW1nh4e+vr6Dyqr8sLiDodGa/buS3oUQyFYUi3azqW+7l1AQADpIQwlEokyMzM52trJyclBK21Kd2TNNPqe9ChGQ7CkWp9u3YNW2iQnJ9+8eZP0FsYpKSmZMH788uXLjTmDKjKy/SxWK7drR3oU0yFY0s5pwRLd/gO5dnZCoZD0FqaoqalxcXYeNmzYy4ePT0Ql5WwM79ejJ+lRwGIhWNJPUUEh2dmz8PLlXbt2kd4i+4RCYUZGBkebk7Y9bbM193Z6pqnhaNKj4L8QLAqMNxixwnSGt5f369evSW+RZTdu3BhrYmJlZTVpiEElP9trqaWSoiLpUfAXCBYdItc5NTU2+Pn6kh4im16/fm3P5RoaGr598epMbGpWQGifbt1Jj4IPQLDo0LNL15BVa7du23bt2jXSW2SKUChMS0vjaHN28/lRds43tu+ZMGwE6VHwjxAsanDnLdT/VotrZ9fa2kp6i4woKioyGj3axsZmxohRAn6O66JligoKpEfBv0GwqKGgoJDi4lV07VpaWhrpLdSrrq62tbEZPXp0Y83bgoTtfN+NPbt0JT0KPg7Boomx3tBVM+b4rPeprq4mvYVWra2tPB5PW0v7wL79CY4exal8E30D0qPgUyFYlAmzdRC1tq739iY9hEqFhYUjDQ25XK6Z8VjB7hyH+eYKuAakCoJFme4anTdb26Xv2HH58mXSW2jy8uXLVatWGRsbs+sbCpN3pHtt6K7RmfQo+GwIFn1sZ5uN4Oji7vsnamlpSUhI4Ghzjvz4Y6qbz1XeLqPBQ0iPgi+EYNFHXl4+xcX75q1bPB6P9BZpd/78+eHDhrm4uCwZP1nAz1k7d768vDzpUfDlECwqjdIdbDP7B39//5cvX5LeIqWeP3++YsWK8ePHtxeyrvJ2pbr7dFHvRHoUfC0Ei1abrbkKLLaXlxfpIVKnubk5OjpaW1s7P+9YuteGS0nphjqDSI+CtoFg0aqLeqcwG3s+n19QUEB6ixQ5ffr0UH19Ly8vK9OZgt05q2fOlZPDk1x24PeSYqtnzh09SM+ey21paSG9hbwnT54sNjefPHlyZ8V2xVv5ic6eGh06kh4FbQzBopicnFyKi/edsrLExETSW0hqbGwMCwvjcDjnTp3m+24sSNhuoMUhPQrEAsGi23BtHbu5CwIDA589e0Z6Cxn5+fn6Q4b4+/uvnfVDJT/HYupMfIyNDEOwqBeyZp2ygqKHhwfpIZL24MGD+WZm06dP76Xa8eb2PTH2rupqaqRHgXghWNTT6NAxcq1jVlbWmTNnSG+RkIaGhpCQEF1d3SsXL2VtCD0Ty9PT/I70KJAEBEsWWEyd+f0QA3sut6mpifQWscvLy9MbPDg4ONjJzLwyI3vJ5Km4BmQOBEsWyMnJpbh4Caqq4uLiSG8Ro7t3786ZPXv27NkDO3crSc8KX+uo1r496VEgUQiWjND/VsvRzDw4OPjx48ekt7S9+vr6gICAwYMH37pWnLMx/ERkok7/AaRHAQEIluwIsrLtoKzi5upKekhbEolEubm5g3R1w8PCPBYtL991YMH4SbgGZCwES3aoq6lF2znnHDx44sQJ0lvahkAgmDF9upmZ2aBefUt37ttkbaeqokJ6FJCEYMmUpZOnTRg2wsHevrGxkfSWr1JXV+ezfr2enl5lSenh0Ki8sDitvv1IjwLyECyZwmazk5297j94EBUVRXrLFxKJRAcOHNDhcOLi4vyWryrbtX/u9+NxDQh/QrBkzaABmq4Ll4aGhj548ID0ls9WVlZmOmXK4sWLhw/4tmzX/kArG5V2yqRHgRRBsGRQgKV1Z7UOLs7OpId8htraWg9396FDhz4UVOWFxR0OjR7Yqw/pUSB1ECwZpNa+fay96+EjR/Ly8khv+TiRSJSZmcnR1k5JSdloZVu6Y99Mo+9JjwIphWDJpoXjJ08xHO3k6Pj+/XvSW/5NSUnJhPHjly9f/j1ncEVGtu+KVe2UlEiPAumFYMkmNpud5OTx+PGT8PBw0ls+rKamxtnJadiwYS8fPj4RlZS9Maxfj56kR4G0Q7BkFqffAI/Fy8PCwu7evUt6y18IhcKMjAyOtnZ6WvoWG/vb6ZmmhqNJjwI6IFiyzG/F6h4anZ0cHUUiEekt/3Hjxg2T77+3srKarD+8kp/tucRCSVGR9CigBoIly1RVVOLt3Y4dP37kyBHSW1ivX7/m2tkZGhr+8fK3M7GpmRs29enWnfQooAyCJePmmYyfMdrY2cmpvr6e1AahULh9+3ZtLe29e/ZE2znf2L5nwrARpMYA1RAsGcdmsxOdPF+8eBEaGkpkQFFRkdHo0ba2tjMNR1dmZLssWqaooEBkCcgABEv2fdunr/dSy8jISIFAIMnHra6utrG2Hj16dFPNHwUJ2/m+G3t26SrJASB7ECxGWL9sZd9u3R3s7SVz9721tZXH42lraeccyE508riWmmGibyCBxwWZh2Axgko75URHj19Onjx48KC4H6uwsHCkoSGXy51vPK6Sn21vZq6Aa0BoIwgWU8waYzL3+3Euzs7v3r0T00O8fPnSysrK2NhY7n3j5ZSdaV7+3TU6i+mxgJkQLAaJd3D//fffQ0JC2vzILS0tCQkJHG3OT7m5W919rqTsHD1Ir80fBQDBYpABvXr7LV8VExNTVlbWhoc9f/788GHDXFxclk6YIuDn2M6ZLy8v34bHB/g/CBazeC6xGNirtz2X2yZ33589e7ZixYrx48e3F7KKUjN4buu7qHf6+sMC/BMEi1naKSklOnqcPXdu3759X3Oc5ubm6OhoDodz4tjxHd4bLiWlj+DottVIgH+CYDHOtFFjFoyf5O7m9scff3zZEU6dOjVUX9/Ly8vKdGYlP3vVjLlycngigSTgecZEsfaub2veBgUFfe43Pn782HzRoilTpnRRUr6+bXeis6dGh45iGAjwYQgWE33TvWeA5ZqEhISSkpJP/JbGxsawsDAdHZ2CM2d3+248H79t6HfaYh0J8L8QLIZyXbRM+5v+XDu7T7n7np+frz9kiL+//7rZP1Tys1dMnYmPsQEiECyGUlJUTHLyuHDx4u7du//lyx48eGD2ww/Tp0/vrdbxVtreaK5rR1U1iY0E+BsEi7kmDR+5ZNJUTw+Pmpqa//3ZhoaGkJAQXV3dokuF+wJCT8fwBg/8VuIbAf4CwWK0aK5LfV3dhg0b/vbjR48eHTxoUEhwiJOZeUVG9uJJU3ENCNIAwWK03l27bbSyTUlJuX79+p8/cvfu3TmzZ8+ZM+fbLt1vp2eGr3VUa9+e7EiA/4NgMZ3j/MWDBmhy7ezevXsXEBAwePDg28XXDwaH50cm6vQfQHodwF8w8d/9qHz8cOOu7aRXSBHNXr2PXDzf75t+b2redFLrsGSiacm9uyX3pOuzduCzVD5+SHqCWLCl5/NUJCMyMtLf149p/9UfJRQJ2Ww2m4UbVbKDLS9XVVXVr18/0kPaEuOCxWKxHj16VF1dTXoFgHh17dpVxmrFYmawAIBSuOkOANRAsACAGggWAFADwQIAaiBYAEANBAsAqIFgAQA1ECwAoAaCBQDUQLAAgBoIFgBQA8ECAGogWABADQQLAKiBYAEANRAsAKAGggUA1ECwAIAaCBYAUAPBAgBqIFgAQA0ECwCogWABADUQLACgBoIFANRAsACAGggWAFADwQIAaiBYAEANBAsAqIFgAQA1ECwAoAaCBQDUQLAAgBoIFgBQA8ECAGogWABADQQLAKiBYAEANRAsAKAGggUA1ECwAIAaCBYAUAPBAgBqIFgAQA0ECwCogWABADUQLACgBoIFANRAsACAGggWAFADwQIAaiBYAEANBAsAqIFgAQA1ECwAoAaCBQDUQLAAgBoIFgBQA8ECAGogWABADQQLAKiBYAEANRAsAKAGggUA1ECwAIAaCBYAUAPBAgBqIFgAQA0ECwCogWABADUQLACgxv8Da/+yIVPCBzsAAAAASUVORK5CYII=
256.0
float
plane geometry
high school
216
216
1
Does the domain of this function cover R? choice: (A) Yes (B) No
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
B
multiple choice
analytic geometry
high school
217
217
1
The joint distribution of S and P is given by the following table. Compute E[P], the expectation of P.
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
1.91
float
statistics
undergraduate
218
218
1
The joint distribution of S and P is given by the following table. Compute P[S=P]
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
0.29
float
statistics
undergraduate
219
219
1
The joint distribution of S and P is given by the following table. Compute P[S>=P]
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
0.44
float
statistics
undergraduate
220
220
1
Is the following graph a complete graph? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
221
221
1
Is the following graph a planar graph? choice: (A) Yes (B) No
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
A
multiple choice
graph theory
undergraduate
222
222
1
What is the maximum number of edges to remove so that the following graph is still connected?
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
1
float
graph theory
undergraduate
223
223
1
How many edges should be added to this graph so that it is complete?
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
6
float
graph theory
undergraduate
224
224
1
Is the following graph a planar graph? choice: (A) Yes (B) No
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
A
multiple choice
graph theory
undergraduate
225
225
1
What is the maximum number of edges to remove so that the following graph is still connected?
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
0
float
graph theory
undergraduate
226
226
1
Is the following graph containing a Euler circuit? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
227
227
1
Is the following graph containing a Hamiltonian circuit? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
228
228
1
Is the following graph containing a Euler circuit? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
229
229
1
Is the following graph containing a Hamiltonian circuit? choice: (A) Yes (B) No
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
A
multiple choice
graph theory
undergraduate
230
230
1
Is the following graph containing a Euler circuit? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
231
231
1
How many components does the following graph have?
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
4
float
graph theory
undergraduate
232
232
1
How many components does the following graph have?
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
1
float
graph theory
undergraduate
233
233
1
Find the chromatic index of the following graph.
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
5
float
graph theory
undergraduate
234
234
1
Find the chromatic index of the following graph.
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
2
float
graph theory
undergraduate
235
235
1
Find the chromatic index of the following graph.
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
3
float
graph theory
undergraduate
236
236
1
Find the chromatic number of the following graph.
iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAIAAAC6s0uzAABL5klEQVR4nO3dd1gU594+8F1AioDSdgALCKIgqNFYiT322JCyK9gFFFGEaJITE01yjiU5Rt2hiChgB5ylKAKCir33gqAoShMRpPelze8P3p8573lNIrDwbLk/f+XyWmZvgnLv88zMd7gsy3IAAACgcymRDgAAAKCIUMAAAAAEoIABAAAIQAEDAAAQgAIGAAAgAAUMAABAAAoYAACAABQwAAAAAShgAAAAAlDAAAAABKCAAQAACEABAwAAEIACBgAAIAAFDAAAQAAKGAAAgAAUMAAAAAEoYAAAAAJQwAAAAASggAEAAAhAAQMAABCAAgYAACAABQwAAEAAChgAAIAAFDAAAAABKGAAAAACUMAAAAAEoIABAAAIQAEDAAAQoEI6AAAAKISqqqqMjAyxWKympmZhYaGlpUU6EWEoYAAA6EBpaWlBQUHnzp1LT09nWbblD7lcrqWl5dSpUz08PKytrckmJIX74X8HAACABGVmZnp6eiYlJVEU5eDgMGLECGtr665du9bU1KSlpd29ezc6OrqwsHDGjBmBgYFmZmak83Y2FDAAAEheSEiIj4+PgYHB9u3bHR0dVVVV/+9r6uvro6KiNm7cWFxcTNO0m5tb5+ckCBdhAQCAhG3bts3d3d3Z2TklJcXFxeWj7cvhcFRVVV1cXJ4+fers7Ozu7r5t27ZOzkkWzgEDAIAkhYSEbNq0acuWLZs2bfqU12trawcHB5uYmGzatMnIyMjV1bWjE0oJbEEDAIDEZGZmDho0yNnZOTg4uFVfyLLsypUrIyIiUlJSFOR8MAoYAAAkZubMmc+ePUtJSdHW1m7t11ZUVAwaNMja2joxMbEjskkbnAMGAADJSEtLS0pK2r59exval8PhdOvW7ddff01KSnr27JnEs0khFDAAAEhGUFAQRVGOjo5tPoKDgwNFUXv37pVgKqmFAgYAAMk4d+6cg4PDn13z/CnU1NQcHBySk5MlmEpqoYABAEACKisr09PTR4wY0c7jDB8+/Pnz51VVVRJJJc1QwAAAIAGvXr1iWbb9cyVtbGxYls3IyJBIKmmGAgYAAAkQi8UcDqdr167tPI6GhsaHo8k3FDAAAEiAmpoah8Opqalp53Fqa2s/HE2+oYABAEACLCwsuFxuWlpaO4+TmprK5XItLCwkkkqaoYABAEACtLS0+vfvf/fu3XYe5969e1ZWVorwtGAUMAAAtFdhYeG//vWvnJwchmHq6+vbfByxWBwdHT1lyhQJZpNaKGAAAGi7lJQUV1dXExOT3377bc6cOSUlJVFRUW0+WssTglevXi3BhFILs6ABAKDVmpubExMThULh+fPne/bsuXbtWnd3d319fcyC/nRYAQMAQCtUV1cHBgYOGDBg9uzZFRUV4eHhmZmZ33//vb6+PofDCQwMLCoqWr9+fWsPy7Lshg0biouLAwMDOyC1NMLzgAEA4JPk5uYGBATs37+/oqLC3t7+4MGDtra2XC73P19jZmZG07S7u7upqeknPg+Yw+GwLLt169aQkJCQkBAFeRYhBwUMAAB/6/bt20KhMCoqSlNT093dfe3atX369PmzF7u5uRUUFGzatCk7O3v37t1/uxddUVGxYcOGkJCQbdu2ubq6Sji6FMM5YAAA+LjGxsaYmBihUHjr1q2+fft6e3svW7bsE0/uhoSE+Pj46Ovr//rrr46Ojh99QkPLNc8bN24sLi729fVVqPbloIABAOD/Ki0tDQkJ8ff3z83NnThx4tdffz1r1ixlZeVWHSQzM9PT0zMpKYmiKAcHh+HDh9vY2GhoaNTW1qampt67d6/lmucZM2YEBgYqzs7zByhgAAD4w4sXL/z8/A4dOtTQ0ODs7Ozj4zNkyJD2HDAtLS0oKCg5Ofn58+cfGofL5VpZWU2ZMmX16tUDBgyQQG4ZhAIGAAAOy7IXL14UCoUJCQkGBgarV69evXq1kZGRBN+iqqoqIyPj2rVrXl5ejx8/Hjx4sAQPLotwERYAgEKrq6uLiIigafrJkyeDBg0KCQlxcXFRV1eX+BtpaWkNGTKkZR+7/c9skAMoYAAABVVQULB37969e/cWFhbOmjVr9+7dX3755X/dViRxPB6Pw+G8f/++Q99FJqCAAQAUzuPHj2maDg8PV1FRWbZsmbe3d//+/TvnrQ0MDDgcTmFhYee8nTRDAQMAKIrm5uaEhAShUHjx4sVevXpt2bLF3d1dV1e3MzOoqKjo6elhBcxBAQMAKIKqqqpDhw75+vpmZGSMGjXq+PHj9vb2Xbp0IRKGoiisgDkoYAAA+ZadnR0QEBAcHFxVVeXo6Hj06NHRo0eTjcTj8bAC5qCAAQDkEsuyN2/epGk6JiZGW1t71apVa9asMTExIZ2Lw0EB/38oYAAAudLQ0BAVFUXT9J07d/r16+fr67t06VItLS3Suf5AUdTt27dJpyAPBQwAICdKSkr2798fEBCQl5f35ZdfxsXFffXVV0pKUvfYWayAW6CAAQBkXnp6uq+v7+HDh5uamhYuXOjt7S3Nc6ZaLsJiWbaj7zmWcihgAABZxbJscnIyTdOnT5+mKOof//iHh4cHRVGkc/0NHo9XX19fWVnZrVs30llIQgEDAMie2trasLAwmqZTU1MHDx588OBBZ2dnNTU10rk+ScswrMLCQgUvYKk7NwAAAH8hPz9/8+bNJiYmK1eu7Nu374ULFx49erRs2TJZaV8Oh9OyRsdpYKyAAQBkw8OHD2majoiIUFVVXbFihZeXV79+/UiHaguMg26BAgYAkGpNTU1xcXFCofDKlSsmJia//vqrq6urjo4O6Vxtp6+vz+VyMQwLBQwAIKUqKysPHDjg5+f3+vXrL774IjIy0s7OTkVF5n9vYxx0C5n/QQIAyJ/MzEx/f//Q0NCamhonJ6eIiIiRI0eSDiVJPB4PK2AUMACAtGBZ9vr160Kh8OTJk927d/f09FyzZk2vXr1I55I8iqKwAkYBAwCQV19fHxkZSdP0vXv3LC0t9+zZs3jxYk1NTdK5OgqGYXFQwAAAZBUXF+/bt2/Pnj1v376dOnXq6dOnp0+fLoXzIyWLoqhXr16RTkEYChgAgIxnz57RNH306NHm5ubFixd7e3sPHDiQdKhOghUwBwUMANDJWJY9e/asUCg8c+aMkZHRDz/8sGrVqpZbYxUHxkFzUMAAAJ2mtrb26NGjNE0/e/Zs6NChR44cEQgEqqqqpHMRwOPxGhoaKioqunfvTjoLMShgAIAO9/bt2z179uzbt6+kpGTevHlBQUHjxo1T5MXfh3HQKGAAAOgQ9+/fFwqFDMOoq6u7urquW7fO3NycdCjyPoyDltFpmhKBAgYAkLympqbY2FihUHjt2rU+ffrs2LFjxYoVirza+y8YB81BAQMASFZ5eXnL/MisrKyxY8dGR0fPmzdPWVmZdC7pgnHQHBQwAICkvHr1yt/f/8CBA7W1tQKBIDIycvjw4aRDSSllZWV9fX2sgAEAoO1Ylr169apQKIyNjdXV1fXy8lqzZk2PHj1I55J2GAeNAgYAaKP6+nqGYYRC4cOHDwcMGBAUFLRo0aKuXbuSziUbMA4aBQwA0Grv379vmR/57t276dOnJyUlTZs2TZFvK2oDDMNCAQMAtMLTp099fX2PHTvG4XCWLFni7e1tbW1NOpRMoijq5cuXpFOQhAIGAPh7zc3NSUlJNE2fO3fO2Nh48+bNq1at0tfXJ51LhmEFjAIGAPgr1dXVR44c8fX1TU9PHzZs2LFjx5ycnBRzfqRktRSwIo+DRgEDAHzcmzdvWuZHlpeXz58/PyQkZMyYMQrbFhJHUVRDQ0N5ebmOjg7pLGSggAEA/tudO3domo6MjOzataubm9vatWvNzMxIh5I3H8ZBK2wBy/kznwEAPl1jY2NkZOSYMWNGjRp1+/btnTt35ubm7tq1C+3bET6MgyYdhBisgAEAOGVlZSEhIf7+/jk5ORMmTDhx4sScOXMwP7JDYRw0ChgAFFpGRoafn9+BAwfq6+udnZ29vb0///xz0qEUgp6enpKSkiIPw0IBA4AiYln20qVLQqEwPj5eX19//fr1q1evNjY2Jp1LgWAcNAoYABSLWCyOiIigafrx48c2NjbBwcEuLi4aGhqkcykiBR8HjQIGAEVRWFi4d+/ewMDAwsLCr776aufOnZMnT8ZtRQQp+DhoFDAAyL8nT574+vqGhYUpKSktW7Zs3bp1VlZWpEOBog/DQgEDgNxqbm4+ffq0UCi8cOFCz549//nPf7q7u+vp6ZHOBf+Doqj09HTSKYhBAQOAHKqqqjp8+LCvr+/Lly9HjhwZERHh4ODQpUsX0rngf8EKGABAfuTk5AQEBAQHB1dUVDg4OBw+fHj06NE40SudFHwcNAoYAOTErVu3hEJhdHS0lpaWu7v72rVrTU1NSYeCv0JRVGNjY1lZma6uLuksBKCAAUC2NTY2RkdHC4XC27dvW1hY0DS9bNkyLS0t0rng730YhqWYBYxZ0AAgq0pLS3fs2GFubr5gwYKuXbueOnUqPT197dq1aF9Z0TIOWmFvBcYKGABkz4sXL3x9fQ8dOtTY2Oji4uLj4/PZZ5+RDgWtpuDjoFHAACAzWJa9cOGCUChMSEjg8Xjffvuth4eHkZER6VzQRgo+DhoFDAAyoK6uLjw8nKbplJSUQYMGHThwwNnZWV1dnXQuaBclJSUDAwOsgAEApNG7d+/27t27d+/e9+/fz549m6bpSZMmKeZdK3JJkcdBo4ABQEo9evSIpumIiAgVFZXly5evW7euf//+pEOBhCnyOGgUMABIl6ampoSEBKFQeOnSpd69e2/dutXNzU0xb1NRBIo8DAu3IQGAtKisrPT397e0tJw3b15dXR3DMK9fv/7222/RvnKMoihsQQMAEJOVlRUQEBASElJVVeXk5HTs2LHRo0eTDgWdQZFXwChgACCGZdkbN27QNB0TE9OtW7dVq1atXbu2d+/epHNB52kp4ObmZiUlhduRRQEDAAENDQ2RkZE0Td+9e7d///7+/v5Lly7V1NQknQs6G0VRTU1NZWVlCviYSBQwAHSqkpKS/fv3BwQE5OXlTZkyJT4+fubMmQq4+oEWH4ZhoYABADrK8+fPfX19Dx8+3NzcvGjRIm9v70GDBpEOBYR9GAdtaWlJOktnQwEDQMdiWfbcuXM0TScmJhoaGn7//fceHh4tv3YBFHkcNAoYADpKbW3tsWPHaJpOS0sbMmTIoUOHFixYoKamRjoXSBFdXV1lZWXFvBMJBQwAkpefnx8YGBgUFFRcXDx37tw9e/ZMmDAB8yPh/1LkcdAoYACQpAcPHtA0ffz4cTU1tRUrVnh5eVlYWJAOBVJNYcdBo4ABQAKamppOnTpF0/SVK1dMTU1/++23FStW6OjokM4FMkBhx0GjgAGgXSoqKg4cOODn55eZmTlmzJioqKh58+apqOB3C3wqhR2GhX8kANBGmZmZfn5+oaGhtbW1fD6fYZgRI0aQDgWyh8fjpaamkk5BAAoYAFqHZdlr164JhcLY2FgdHZ21a9d6enr26tWLdC6QVdiCBgD4G/X19SKRiKbp+/fvW1lZBQYGLl68uGvXrqRzgWzj8XhFRUUKOA4aBQwAf6+oqGjfvn179uzJz8+fNm1aYmLitGnTFO3XJXSQlnHQpaWl+vr6pLN0KhQwAPyVtLQ0mqaPHj3K4XAWL17s7e1tY2NDOhTIlQ/DsBStgPEBFgA+gmXZpKSk6dOn29jYxMfHb9q0KScnZ//+/WhfkLgP46BJB+lsWAEDwP9SU1Nz9OhRX1/fZ8+eff7550ePHuXz+aqqqqRzgdxS2HHQKGAA+B95eXl79uzZt29faWmpnZ3dvn37xo4di/mR0NF0dHQUcxw0ChgAOPfu3RMKhSKRSENDw9XV1cvLy9zcnHQoUBRKSkqKOYsDBQyguBobG2NjY4VC4fXr183MzH7//fcVK1Z069aNdC5QOChgAFAU5eXloaGhfn5+2dnZ48aNi4mJmTt3rrKyMulcoKAoisIWNADIuVevXvn5+R04cEAsFgsEgujo6GHDhpEOBYqOx+MVFBSQTtHZUMAACoFl2StXrgiFwlOnTunp6Xl7e3t6evbo0YN0LgAOh8Ph8XgpKSmkU3Q2FDCAnBOLxQzDCIXCR48eWVtb79u3b9GiRRoaGqRzAfxBMcdBo4AB5Nb79++DgoICAwPfvXs3c+bMf//731OnTsVtRSCFFHMcNAoYQA49ffqUpuljx44pKSktWbLE29t7wIABpEMB/CmKopqbm0tKSgwMDEhn6TwoYAD50dzcnJSUJBQKk5OTe/To8fPPP69cuVLR5uuCLPowDEuhCliBFvsAcqy6unrv3r3W1tazZs0qKysLCwvLysrauHEj2hdkQksBK9qdSFgBA8i23NzcPXv27N+/v7y83N7ePjQ09IsvvsCJXpAtLc9jULTrsFDAALLq9u3bNE1HRkZqamq6ubl5eXn16dOHdCiAttDR0VFRUcEKGACkWmNjY0xMDE3TN2/e7Nu3r1AoXLZsmba2NulcAG3H5XIVcBolChhAZpSVlYWEhPj7++fk5EycOPHkyZOzZ8/G/EiQDyhgAJBGL1++9PPzO3jwYH19vYuLi7e399ChQ0mHApAkBRwHjQIGkF4sy168eFEoFCYkJOjr669fv97T09PIyIh0LgDJ4/F4+fn5pFN0KhQwgDSqq6uLiIigafrJkycDBw4MDg5euHChuro66VwAHYXH4z1+/Jh0ik6FAgaQLgUFBXv37t27d29hYeGsWbN27do1efJk3FYEck8Bx0GjgAGkxePHj2maDg8PV1FRWbZs2bp16ywtLUmHAugkLeOgm5qaFOe6QhQwAGHNzc0JCQlCofDixYu9evXasmWLm5ubnp4e6VwAnYqiKJZlS0pKWqZiKQKMogQgpqqqKiAgwNLScu7cuTU1NcePH3/9+vV3332H9gUF9GEcNOkgnQcrYAACcnJy/P39g4ODq6qqHBwcjhw5YmtrSzoUAEkfxkFbW1uTztJJUMAAnermzZtCoTAmJkZLS2vlypVr1641MTEhHQqAPAUcB40CBugMDQ0N0dHRNE3fvn27X79+vr6+S5cu1dLSIp0LQFp07969S5cuCjWLAwUM0LFKSkqCg4MDAgLevHnz5ZdfxsXFffXVV0pKuPwC4H9RwHHQKGCAjpKenu7r63v48OHGxsaFCxf6+PgMHjyYdCgA6YUCBoB2YVn2/PnzQqHw9OnTFEV99913Hh4ehoaGpHMBSDsej4ctaABoi9ra2vDwcJqmnz59Onjw4IMHDy5YsADzIwE+EUVReXl5pFN0HpyIApCAd+/e/fTTTyYmJu7u7mZmZhcuXHj06NGyZcvQvgCfDitgAGiFR48eCYXCiIgIVVXV5cuXr1u3rl+/fqRDAcgkRRsHjQIGaIumpqb4+HihUHj58mUTE5Pt27e7ubnp6OiQzgUgw3g8XnFxseKMg8YWNEDrVFZW+vn5WVpa2tnZNTQ0iESiV69effPNN2hfgHZqGQddXFxMOkgnwQoY4FNlZWX5+/uHhIRUV1c7OTmFh4ePHDmSdCgA+fFhHHTLVCy5hwIG+Bssy16/fp2m6RMnTnTv3n316tVr167t1asX6VwA8ubDOGgbGxvSWToDChjgT9XX10dGRtI0fe/evf79+wcEBCxZskRTU5N0LgD5pGjjoFHAAB9RXFy8f//+gICAt2/fTp06NSEhYcaMGZgfCdChunXrplDjoFHAAP/Ls2fPfH19jxw50tzcvGjRIh8fn4EDB5IOBaAQuFyuQt2JhAIG4HA4HJZlz549S9N0UlKSoaHhxo0bPTw8Ws5IAUCnUahx0ChgUHS1tbVHjx719fVNS0sbMmTI4cOHBQKBmpoa6VwAikihhmGhgEFxvX37NjAwMCgoqKSkZN68eYGBgePHj+dyuaRzASguiqJyc3NJp+gkKGBQRPfv3xcKhQzDqKurr1ixYt26dX379iUdCgA4PB7v/v37pFN0EhQwKJCmpqbY2Fiapq9evdqnT58dO3asWLGie/fupHMBwP/ARVgA8qaioiI0NNTPzy8rK2vs2LHR0dFz585VUcHffwDpwuPxSkpKGhsbFeGfp/x/h6DgXr9+7efnd+DAgdraWoFAEBkZOXz4cNKhAODjeDxeyzhoQ0ND0lk6HAoY5BPLslevXhUKhbGxsbq6ul5eXp6enj179iSdCwD+yodhWChgANlTX1/PMAxN0w8ePBgwYEBQUNCiRYu6du1KOhcA/L0P46BJB+kMKGCQH0VFRUFBQXv27Hn37t306dMTExOnTZuG+ZEAMkShxkGjgEEepKam0jR97NgxDoezZMkSb29va2tr0qEAoNW0tbVVVVWxAgaQds3NzWfOnBEKhefOnTM2Nt68efPKlSsNDAxI5wKANlKocdAoYJBJNTU1R44c8fX1ff78+bBhw44dO+bk5KSqqko6FwC0l+KMg0YBg4zJy8sLCAjYt29feXm5nZ1dcHDwmDFjMD8SQG4ozjhoFDDIjLt37wqFwsjISA0NDTc3Ny8vLzMzM9KhAEDCKIrKzs4mnaIzoIBB2jU2Np48eVIoFN64ccPMzGznzp3Lly/v1q0b6VwA0CF4PN7du3dJp+gMKGCQXmVlZaGhof7+/tnZ2RMmTDhx4sScOXOUlZVJ5wKADoSLsABIysjI8PPzO3jwoFgsXrBggY+Pz+eff046FAB0BsUZBy3n3x7IFpZlL1++LBQK4+Li9PX1fXx8PD09jY2NSecCgM7TMgyrqKjIyMiIdJaOhQIGqSAWi48fP07T9KNHj2xsbPbv379w4UINDQ3SuQCgs30YhoUCBuhYhYWFQUFBgYGBBQUFX3311Y4dO6ZMmYLbigAUluKMg0YBAzEpKSk0TYeFhSkpKS1dutTb29vKyop0KAAgTHHGQaOAobM1NzefPn2apunz58/37Nnzl19+WblypZ6eHulcACAVtLS01NTUsAIGkKTq6urDhw/7+vq+ePFixIgR4eHhjo6OXbp0IZ0LAKQIl8tVkGmUKGDoDLm5uQEBAfv376+oqHBwcDh48KCtrS1O9ALARynIrcAoYOhYt27domk6KipKU1PT3d3dy8vL1NSUdCgAkGoKMg4aBQwdorGxMTo6mqbpW7du9e3bVygULlu2TFtbm3QuAJABFEVlZmaSTtHhlEgHAHlTWlq6Y8cOc3PzBQsWaGhoxMbGpqene3l5oX0B4BNhBQzQOi9evPD19T106FBjY6OLi4u3t/eQIUNIhwIA2YNzwACfhGXZCxcu0DQdHx/P4/G+/fZbDw8PuR9hAwAdh8fjlZaWNjQ0yPddEihgaLu6urrw8HCaplNSUgYNGnTgwAFnZ2d1dXXSuQBAtn0YBy3fo+BxDhjaoqCg4JdffjE1NXV1dTU1NU1OTn78+PHy5cvRvgDQfgoyDAsrYGidx48fC4XCiIgIFRWV5cuXr1u3rn///qRDAYBcUZBx0Chg+CTNzc3x8fE0TV+8eLF3795bt251c3PT1dUlnQsA5BBWwAAcDodTVVV18OBBPz+/jIyM0aNHMwwzf/58+b4yAgDI0tTUVFdXxwoYFFd2dra/v39ISEhVVZWjo+PRo0dHjx5NOhQAyD8FGQeNAob/xrLszZs3hUJhTExMt27dVq1atXbt2t69e5POBQAKRBFuBUYBwx8aGhqioqJomr5z506/fv38/f2XLFmipaVFOhcAKBxFGIaFAgYOh8MpKSnZv39/QEBAXl7e5MmT4+PjZ86cqaSEu9QAgAyKol69ekU6RcdCASu658+f+/r6Hj58uLm5eeHChT4+PoMGDSIdCgAUHY/Hu3nzJukUHQsFrKBYlk1OThYKhYmJiYaGht9//72Hh0fLpf8AAMThIiyQQ7W1tWFhYTRNp6amfvbZZ4cOHVqwYIGamhrpXAAAf6AoqqysrL6+XlVVlXSWjoICViD5+fmBgYFBQUHFxcVz5swJCAiYMGECl8slnQsA4L99GAfdo0cP0lk6CgpYITx48ICm6ePHj6uqqq5YsWLdunUWFhakQwEA/KkPw7BQwCCTmpqa4uLihELhlStXTExMfv31V1dXVx0dHdK5AAD+hiKMg0YBy6eKioqW+ZGvX78eM2ZMZGSknZ2digp+3AAgGxRhHDR+I8ubzMxMf3//0NDQmpoaJyeniIiIkSNHkg4FANA6mpqaGhoaKGCQASzLXrt2jabpkydPdu/e3dPTc82aNb169SKdCwCgjeR+GBYKWObV19dHRkYKhcL79+9bWlru2bNn8eLFmpqapHMBALSL3I+DRgHLsKKiov379+/Zs+ft27fTpk07ffr09OnTMT8SAOQDVsAgjdLS0nx9fY8cOcKy7OLFi318fGxsbEiHAgCQJIqiXr58STpFB8JqSZawLJuUlDRjxgwbG5tTp079+OOPubm5wcHBaF8AkD9YAYNUqKmpOXbsGE3Tz549Gzp06JEjRwQCgRxPaAMAkPtx0ChgaZeXlxcYGLhv376SkhI7O7ugoKBx48ZhfiQAyD2KosrLy+V4HDQKWHrdu3ePpmmGYTQ0NFxdXb28vMzNzUmHAgDoJC3DsN6/f9+zZ0/SWToECljqNDU1nTx5kqbpa9eumZmZ/f777ytWrOjWrRvpXAAAnerDMCwUMHS48vLy0NBQf3//rKyscePGRUdHz5s3T1lZmXQuAAAC5H4cNApYKrx69crPz+/AgQN1dXULFiyIiooaNmwY6VAAACR92IImHaSjoIBJYln2ypUrNE3Hxsbq6el5e3t7enrK8bO3AAA+naamZteuXVHAIGFisZhhGJqmHz58aG1tvW/fvoULF3bt2pV0LgAAKSLftwKjgDvb+/fvg4KCAgMD3717N2PGjKSkpGnTpuG2IgCA/0u+x0GjgDvP06dPaZo+duyYkpLSkiVL1q1bZ21tTToUAID0wgoY2qW5uTkpKYmm6XPnzvXo0ePnn39euXKlvr4+6VwAANKOoqj09HTSKToKZkF3oOrq6r1791pbW8+aNau0tDQsLCwzM3Pjxo1oXwCAT4EVMLTamzdvAgIC9u/fX15ePn/+/NDQ0C+++AInegEAWkW+x0GjgCXszp07QqEwMjJSU1PTzc3Ny8urT58+pEMBAMgkiqIqKirEYrGamhrpLJKHApaMxsbGEydOCIXCmzdvmpub7969e/ny5dra2qRzAQDIsA+zOHr16kU6i+ThHHB7lZWV7dy5s2/fvnw+X1VV9eTJky9evFi3bh3aFwCgnT6MgyYdpENgBdx2L1++9PPzO3jwYH19vbOzs4+Pz9ChQ0mHAgCQH/I9DhoF3Gosy166dEkoFMbHx+vr669fv97T09PIyIh0LgAAeSPf46BRwK0gFosjIiJomn78+PHAgQODg4NdXFw0NDRI5wIAkE9du3bV1NREASu0wsLCvXv3BgYGFhYWfvXVVzt37pw8eTJuKwIA6GhyfCswCvhvPHnyhKbpsLAwFRWVpUuXent7W1pakg4FAKAo5HgcNAr445qbm0+fPi0UCi9cuNCrV69//etf7u7uenp6pHMBACgWrIAVSFVV1eHDh319fV++fDly5MiIiAgHB4cuXbqQzgUAoIh4PN7z589Jp+gQKOA/5OTkBAQEBAcHV1RUODg4HD582NbWlnQoAACFRlHU1atXSafoEChgDofDuXnzJk3T0dHRWlpaK1euXLNmjampKelQAACALWg51dDQEBMTIxQKb9++bWFhQdP0smXLtLS0SOcCAID/QVFUZWVlXV2duro66SwSpqCjKEtLS3fs2GFubr5gwQJNTc1Tp06lp6evXbsW7QsAIFXkeBaHDKyAq6qqMjIyWp6GYWFh0c6OTE9P9/PzO3ToUGNjo4uLi4+Pz2effSapqAAAIFkfxkH37t2bdBYJk94CTktLCwoKOnfuXHp6OsuyLX/I5XItLS2nTp3q4eFhbW396UdjWfb8+fM0TSckJFAU9d1333l4eBgaGnZMdgAAkAw5HgctjVvQmZmZM2fOtLGxYRhm0qRJoaGht27devLkya1bt0JDQydNmsQwjI2NzcyZMzMzM//2aHV1daGhoYMHD546dWpubu6BAweys7N//vlntC8AgPST4y1oDitlgoODNTU1TU1Nw8LCxGLxR18jFovDwsJMTEw0NTWDg4P/7FD5+fmbN2/m8XhcLnfOnDnnz59vbm7usOAAANAhtLS0du3aRTqF5EnXCnjbtm3u7u7Ozs4pKSkuLi6qqqoffZmqqqqLi8vTp0+dnZ3d3d23bdv2Xy949OjRsmXLTE1Nd+/eLRAI0tPTT5069eWXX2J6MwCAzJHXO5Gk6BxwSEjIpk2btmzZsmnTpk95vba2dnBwsImJyaZNm4yMjFxdXZuamuLj42mavnTpkomJybZt21xdXXV1dTs6OQAAdBx5HQctLQWcmZnp4+Pj5ub2ie37waZNm3Jycry9vXNycsLCwl69emVra8swjL29vYqKtHx3AADQZvK6Auay//8CY7Jmzpz57NmzlJQUbW3t1n5tRUXFgAEDCgoKnJycfHx8Ro0a1REJAQCAiBUrVqSlpd26dYt0EAmTinPAaWlpSUlJ27dvb0P7cjicbt26/f77701NTT/99BPaFwBAzsjrFrRUFHBQUBBFUY6Ojm0+goODA0VRe/fulWAqAACQBvK6BS0VBXzu3DkHB4c/u+b5U6ipqTk4OCQnJ0swFQAASAOKoqqqqmpra0kHkTDyBVxZWZmenj5ixIh2Hmf48OHPnz+vqqqSSCoAAJAS8jqLg3wBv3r1imXZVs2V/CgbGxuWZTMyMiSSCgAApAQKuKOIxWIOh9O1a9d2HkdDQ+PD0QAAQG60PI9B/k4Dky9gNTU1DodTU1PTzuO0nB5oORoAAMgNrIA7ioWFBZfLTUtLa+dxUlNTuVyuhYWFRFIBAICUUFdX19bWRgFLnpaWlqWl5d27d9t5nHv37mlpaR06dOjdu3cSCQYAAFJCLu9EIl/AHA5n6tSp0dHR9fX1bT6CWCyOiorS19dfv359jx49Jk2aFBQUJH8/LQAAxSSXszikooA9PDwKCwujoqLafITo6Oj379+fPn26oKAgJCRETU1t7dq1xsbGU6dODQ4OLi4ulmBaAADoZHK5ApaTWdCDBg2ytrZOTEz88IdFRUUnTpxgGObixYtKSkpTpkzh8/l2dnZ4OBIAgMxxdXV9+vTp7du3SQeRJKlYAXM4nMDAwKKiovXr17f2C1mW3bBhQ3FxcWBg4H/+uYGBgbu7e3Jycn5+vp+fX11dnaurq6Gh4ezZs48ePVpeXi657AAA0LGwBd2BzMzMaJoOCQnZunXrp38Vy7Jbt24NCQnx9fU1MzP76Gsoilq9evXFixfz8vJ2795dXl6+ZMkSiqLs7OzCw8MrKysl9B0AAEBHkcstaA4rTVra183NraKi4m9fXF5e7ubmxuFwtm3b1qp3efPmjVAotLW15XA46urq9vb2DMNUVVW1NTUAAHSso0ePcjic6upq0kEkSboKmGXZ4OBgTU1NExOTsLAwsVj80dfU1dWFhYWZmJhoamqGhIS0+b2ysrJ27tzZMoa6a9eufD4/KiqqpqamzQcEAICOkJSUxOFwsrKySAeRJGm5COs/ZWZmenp6JiUlURTl4OAwfPhwGxsbDQ2N2tra1NTUe/fuRUdHFxYWzpgxIzAw8M92nlv7jiKRSCQSPXjwQFNTc+7cuQKBYPr06erq6u0/OAAAtNODBw+GDRt29+7d4cOHk84iMdJYwC3S0tKCgoKSk5OfP3/+ISSXy7WyspoyZcrq1asHDBgg8Td9+fJlZGQkwzBPnjzp1q3bvHnz+Hz+tGnT2vOoRAAAaKc3b9707t07ISHhq6++Ip1FYqS3gD+oqqrKyMgQi8VqamoWFhZaWlqd8KbPnz8XiUQMw6Slpeno6NjZ2QkEgsmTJ3fp0qUT3h0AAP6TWCxWV1c/dOjQ0qVLSWeRGBkoYLJSU1Nbmjg9PV1PT8/e3p7P50+aNElFRYV0NAAABdK9e/fNmzd/8803pINIjLTchiS1bGxs/vnPfz579uzx48ceHh4XL16cNm2asbFxy383NTWRDggAoBDk704krIBbh2XZhw8fMgwjEomysrIMDQ0dHR35fP7YsWOVlPBpBgCgo9ja2lpZWR08eJB0EIlBAbcRy7J3795tuXY6Nze3R48ejo6OAoFg9OjRaGIAAImbN29eY2NjQkIC6SASgwJur+bm5tu3bzMMExkZ+fbt2969ezs5OfH5/JEjR3K5XNLpAADkhJub25MnT+7cuUM6iMRgrdZeSkpKtra2NE3n5uZeuXJl3rx5YWFho0ePNjMz++677+7fv4+POAAA7Sd/46BRwBKjpKQ0btw4f3//vLy8ixcvzpw589ChQ8OHD+/Xr98PP/zw+PFjNDEAQJvhIixohcbGxkuXLolEoujo6JKSkv79+wsEAj6fP3DgQNLRAABkTFhY2KJFi6qqqjQ1NUlnkQwUcGdoaGi4cOECwzAnTpwoKyuztrbm8/kCgcDKyop0NAAA2XD27Nnp06dnZmb26dOHdBbJQAF3qvr6+nPnzjEMExsbW1FRMWjQoJY1cb9+/UhHAwCQag8fPvz888/v3LnT8gQdOYACJqOuru7MmTMikejUqVNVVVVDhw7l8/l8Pt/c3Jx0NAAAaZSXl9erVy95GgeNAiastrY2MTGRYZj4+Piamprhw4cLBAInJydTU1PS0QAApEjLOOiDBw8uW7aMdBbJwFXQhGloaNjb2zMMU1hYyDCMqanp5s2b+/TpY2trKxQK37x5QzogAIBUUFNT6969uzzdiYQClhaampp8Pj8qKqqwsDA8PNzQ0PD777/v3bv32LFj/f398/PzSQcEACBMzu5EQgFLHW1tbWdn55MnTxYWFh45ckRXV3fDhg09e/acOHFiYGBgQUEB6YAAAGTweDx5WgHjHLAMKC0tjY2NZRgmOTm5ubl54sSJAoHA3t7ewMCAdDQAgM5jZ2dXX19/+vRp0kEkAytgGaCrq7ts2bLExMR3797t27dPWVnZ09PTyMho+vTpoaGhJSUlpAMCAHQGOVsBo4Blib6+vpub29mzZ/Pz8/fs2dPQ0LBy5UpDQ8NZs2YdPny4rKyMdEAAgA4kZ+OgUcAyicfjrVq16sKFC3l5eTRNV1ZWLl++3NDQcO7cuWFhYRUVFaQDAgBIHi7CAiliZGS0Zs2aK1eu5Obm7tixo7i4eNGiRRRF2dvbHz9+vKqqinRAAACJ4fF4tbW11dXVpINIBgpYTvTs2dPb2/v69evZ2dnbt2/Py8tzdnamKMrJySkqKqqmpoZ0QACA9qIoisPhyM0iGFdBy62srCyRSCQSie7fv6+pqTlnzhw+nz9z5kx1dXXS0QAA2uLRo0dDhw69ffv2yJEjSWeRABSw/MvIyIiMjGQY5vHjx9ra2nPnzhUIBNOmTVNTUyMdDQCgFd6+fduzZ8/4+PhZs2aRziIBKGAFkp6e3rImfvr0affu3e3s7Ph8/pQpU1RVVUlHAwD4e/X19WpqagcOHFi+fDnpLBKAc8AKxNLScvPmzSkpKampqT4+Prdv3541a5aRkZGrq+vZs2cbGhpIBwQA+Cuqqqo6OjpycycSClgRWVtb//LLL2lpaU+ePPH09Lxy5cr06dONjY1XrVp1/vz5xsZG0gEBAD5Onu5EwhY0cFiWffTokUgkYhgmMzOToigHBweBQDB27FhlZWXS6QAA/jBmzBgLC4vDhw+TDiIBKGD4A8uy9+/fZxhGJBLl5OQYGxs7OjoKBAJbW1slJWyWAAB58+fPr6urS0xMJB1EAlDA8BEsy96+fbvliq28vLxevXo5OTnx+fxRo0ZxuVzS6QBAca1cufLBgwf37t0jHUQCsKyBj+ByuaNHj969e3dOTs7Vq1fnz58fERFha2vbp0+fb7/99t69e/jcBgBEyNM4aBQw/BUlJaWxY8f6+fm9efPm0qVLLU99GDFihIWFxcaNGx8+fIgmBoDO1HIRlnz85sEWNLROY2Pj5cuXRSJRdHR0cXFxv379+Hy+QCAYOHAgdqcBoKOFh4cvXLiwsrJSS0uLdJb2QgFDGzU0NFy8eJFhmBMnTpSWllpZWQkEAj6fb21tTToaAMit5OTkqVOnvnr1ytzcnHSW9kIBQ3vV19cnJyeLRKKTJ0+Wl5cPHDiwZU3cv39/0tEAQN48fvx4yJAht27dGjVqFOks7YUCBokRi8Vnz55lGCY2Nraqquqzzz5rWRP37duXdDQAkBP5+fk9evSIi4ubPXs26SzthQIGyautrU1KShKJRHFxcdXV1cOGDePz+Xw+v0+fPqSjAYBsa2hoUFVVDQ0NXbFiBeks7YWroEHyNDQ0Wu5cKiwsjIyMNDMz++WXX8zMzEaNGrV79+7c3FzSAQFAVnXp0kVuxkGjgKEDde3a1dHRMTIysrCwMCIiomfPnj/88IOJicmYMWP8/Pzevn1LOiAAyB6KouRjHDQKGDqDlpbWggULYmJiCgsLjx07pq+v/8033/Tq1Wv8+PF79uwpKCggHRAAZAaPx5OPFTDOAQMZZWVlsbGxIpHo7Nmzzc3NEyZMEAgE9vb2PB6PdDQAkGr29vY1NTVJSUmkg7QXVsBAho6OztKlSxMSEgoKCvbv39+lS5c1a9YYGxtPmzYtJCSkuLiYdEAAkFJyswJGAQNhenp6rq6uZ86cyc/PDwwMbGpqWrVqlZGR0cyZMw8dOlRaWko6IABIF7kZB40CBmnB4/FWrlx5/vz5t2/f+vr61tbWrlixwtDQcM6cOUePHq2oqCAdEACkgtyMg0YBg9QxNDT09PS8dOnSmzdvdu3aVVpaumTJEoqi7OzsIiIiKisrSQcEAJJ4PJ5YLK6qqiIdpL1QwCC9evTo4eXlde3atdzc3F9//bWgoMDFxYWiKEdHR5FIVF1dTTogABBAURSHw5GDO5FQwCADevXq9fXXX9+8eTMrK2vLli3Z2dkCgYCiKIFAEBMTU1tbSzogAHSelnsl5OA0MG5DApn0+vVrkUgkEokePnyopaU1d+5cPp8/Y8YMNTU10tEAoGO9e/fO2Nj41KlTc+bMIZ2lXVDAINtevHgRGRnJMExKSkq3bt3s7Oz4fP7UqVNVVVVJRwOADtEyDjokJMTV1ZV0lnbBFjTItv79+//4449PnjxJS0tbv3793bt3Z8+ebWhouGLFiqSkpIaGBtIBAUDCunTpoqurKwdb0ChgkBMDBgz4+eefU1NTU1JSvLy8rl+/PnPmTCMjI3d39+Tk5MbGRtIBAUBi5GMcNLagQT6xLPvkyROGYRiGef36NY/Hc3Bw4PP548ePV1ZWJp0OANpl3Lhxffr0OXr0KOkg7YICBjnHsuyDBw8YhhGJRNnZ2YaGho6OjgKBYMyYMUpK2AECkEkODg7V1dWyPg4aBQyKgmXZO3futFw7/ebNmx49ejg5OQkEglGjRqGJAWSLh4fHnTt3Hjx4QDpIu+D3DigKLpc7atSoXbt2ZWdnX79+vWWaxxdffNGnT59vvvnmzp07+DAKICvk43kMKGBQOEpKSl988YWvr++bN28uX748d+7cY8eOjRo1ytzc/B//+MeDBw/QxABSruUiLFn/p4otaABOU1PTlStXGIaJjo4uKiqysLDg8/l8Pn/w4MFcLpd0OgD4b8ePH3d2di4vL+/WrRvpLG2HAgb4Q2Nj48WLF0UiUUxMTElJiaWlJZ/PFwgENjY2pKMBwB8uXLgwefLkly9fWlhYkM7SdihggI9oaGg4f/48wzAnTpwoLy+3trYWCAR8Pt/Kyop0NADgpKSkDB48+MaNG7a2tqSztB0KGOCviMXic+fOiUSikydPVlZWDh48uGVNLNOfuwFkXUFBgZGRUWxs7Ny5c0lnaTsUMMAnqaurO3PmDMMwp06dqq6uHjp0aMua2MzMjHQ0AIXT2NjYpUuX4OBgNzc30lnaDldBA3wSdXX1efPmhYeHv3//PioqysLC4p///Ke5ufnIkSN37tyZk5NDOiCAAlFRUdHT05P1O5FQwACto6Gh4eDgIBKJ3r9/f/z48d69e2/evNnU1NTW1pam6by8PNIBARSCHIyDxhY0QHtVVlbGxcUxDJOUlFRfXz927FiBQODg4GBsbEw6GoDcGj9+vImJybFjx0gHaTsUMIDElJeXx8bGikSis2fPNjY2jh8/vqWJKYoiHQ1A3jg6OlZWVp45c4Z0kLbDFjSAxHTv3n3JkiXx8fEFBQWhoaHq6upeXl7GxsZTpkwJDg4uKioiHRBAfvB4PFnfgkYBA0ierq7u8uXLk5KS3r17FxQUxOVyPTw8jIyMZsyYceDAgdLSUtIBAWSeHIyDRgEDdCADAwN3d/dz587l5+cHBASIxWI3NzdDQ8NZs2YdOXKkvLycdEAAWSUH46BRwACdgaIoDw+Pixcvvn37dvfu3ZWVlcuWLaMoat68eWFhYZWVlaQDAsgYHo/X0NBQUVFBOkjboYABOpWRkdHatWuvXLmSm5u7Y8eO9+/fL1q0iMfj2dvbMwxTXV1NOiCAbGi5tlGmTwOjgAHI6Nmzp7e3940bN7Kzs7dt25aXl7dgwQIej8fn86OiompqakgHBJBqPB6Pw+HI9Glg3IYEIC0yMzMjIyMZhnnw4IGmpuacOXMEAsGMGTPU1dVJRwOQOi3joE+ePDlv3jzSWdoIK2AAaWFmZvbdd9/dv3//xYsXP/zww7Nnz+bPn09R1OLFi+Pi4sRiMemAAFJEX1+fy+ViCxoAJKlfv34//PDDo0ePnj179s033zx8+HDu3LmGhobLly9PTEysr68nHRCAPDkYB40taAAZkJqaKhKJGIZJT0/X1dW1t7cXCASTJk1SUVEhHQ2AGGtr62nTptE0TTpIG6GAAWQGy7IpKSkMwzAM8+rVKwMDAwcHBz6fP2HCBGVlZdLpADrbhAkTevXqFRYWRjpIG6GAAWQPy7IPHz5sWRNnZWVRFOXo6CgQCMaMGYMmBsXh5ORUXl5+9uxZ0kHaCAUMIMNYlr137x7DMCKRKDc319jY2MnJic/n29raKinhCg+Qc56enjdu3Hj06BHpIG2Ef6IAMozL5Y4YMWLnzp1ZWVk3btwQCATR0dFjx441NTVdv3797du38Qkb5Jisj4NGAQPIAyUlJVtbW6FQmJOTc/XqVTs7u4iIiNGjR7fc2nTv3j00McgfiqLev38vu3+3sQUNIJ+ampquXr0qEomioqLev39vbm7O5/MFAsFnn33G5XJJpwOQAJFIJBAISktLdXR0SGdpCxQwgJxrbGy8fPkywzDR0dElJSX9+/fn8/l8Pn/gwIFoYpBply5dmjRp0osXL/r160c6S1uggAEURUNDw4ULF0QiUUxMTFlZ2YABA1rWxAMGDCAdDaAtUlNTBw4ceO3atTFjxpDO0hYoYACFU19ff+7cOZFIdPLkyYqKikGDBrWsifv37086GkArFBYWGhoanjhxws7OjnSWtkABAyiuurq6s2fPMgxz6tSpqqqqIUOGtKyJzc3NSUcD+HtNTU1dunQJCgpauXIl6SxtgaugARSXurr63Llzw8LCCgsLo6OjLS0tt27d2rdv3xEjRvz+++/Z2dmkAwL8FWVlZX19fdm9EwkFDAAcDQ0Ne3v748ePFxYWikQiU1PTn376qU+fPqNHjxYKhbm5uaQDAnwcRVGy+0AkbEEDwEdUVVXFxcWJRKLExESxWDxmzBg+n+/o6NijRw/S0QD+MHHixB49eoSHh5MO0hYoYAD4KxUVFadOnWIY5syZM42NjePGjRMIBA4ODoaGhqSjAXCcnJzKysrOnTtHOkhbYAsaAP5Kt27dFi1aFBcXV1hYeODAAU1NTW9v7x49ekyePHnfvn2ye/oN5INMb0GjgAHgk+jo6Cxbtuz06dPv3r3bt2+fsrLymjVrjI2Np02bFhoaWlJSQjogKCKZHgeNAgaA1tHX13dzczt79mx+fv6ePXsaGxtXrlxpaGj41VdfHTp0qKysjHRAUCAyPQ4aBQwAbcTj8VatWnXhwoW8vDyapqurq1esWEFR1Jw5c44dO1ZRUUE6IMg/Ho/X2Ngoox/7UMAA0F5GRkZr1qy5fPlybm7uzp07S0pKFi9eTFHU/PnzIyIiqqqqSAcEuUVRFIfDkdFdaBQwAEhMz549161bd/369ZycnO3bt+fn57u4uPB4PEdHx8jIyJqaGtIBQd7weDwOhyOj12GhgAFA8nr37r1+/fpbt25lZmb+61//ysrK4vP5PB5vwYIFJ06cqK2tJR0Q5ERLAWMFDADw3/r06fPtt9/eu3cvIyNj06ZN6enp9vb2FEUtXLjw1KlTYrGYdECQbXp6ekpKSlgBAwD8qb59+27cuPHhw4fPnz//xz/+8eTJk3nz5lEUtXTp0oSEhPr6etIBQSbJ9DhoTMICADLS0tJEIhHDMM+fP9fV1Z0/fz6fz//yyy+7dOlCOhrIkoEDB3755Zd+fn6kg7QaChgASGJZ9unTpy1N/PLlS319fXt7e4FAMGHCBBUVFdLpQAZMmjTJyMgoIiKCdJBWQwEDgFRgWfbx48cMwzAMk5mZSVGUg4MDn88fN26csrIy6XQgvfh8fklJSXJyMukgrYYCBgDpwrLs/fv3GYYRiUQ5OTlGRkaOjo4CgeCLL75QUsJlK/Df1q5de+XKlSdPnpAO0mr42wwA0oXL5Q4fPvz333/Pysq6efOms7PziRMnxo0bZ2Ji8vXXX9+8eRPLBvhPsjsOGitgAJB2zc3NN2/eZBgmMjLy3bt3JiYmTk5OAoFg+PDhXC6XdDogbO/evV5eXvX19TK3QYICBgCZ0dTUdO3aNZFIFBUVVVhYaGZmxufz+Xz+0KFD0cQKKyoqysnJqbi4WE9Pj3SW1kEBA4DsaWxsvHLlCsMw0dHRxcXFFhYWfD5fIBAMGjQITaxoLl++PHHixOfPn1taWpLO0jooYACQYQ0NDRcvXhSJRDExMaWlpVZWVi1rYhsbG9LRoJM8e/bM2tr6ypUr48aNI52ldVDAACAP6uvrz58/zzDMyZMny8vLbWxsWtbEMrcqgtYqKiri8XjR0dH29vaks7SOjJ2yBgD4KFVV1ZkzZx46dKigoODUqVNDhw7duXOnlZXVkCFDtm/fnpGRQTogdBTZHQeNAgYAuaKmpjZnzpyjR48WFBScOHFiwIAB27dv79ev37Bhw3bs2JGZmUk6IEiYkpKSgYGBLN6JhAIGAPmkoaFhZ2cXERFRWFgYGRlpbm7+yy+/mJubjxo1ateuXTk5OaQDgsRQFCWLK2CcAwYARVFVVRUfHy8SiU6fPi0Wi21tbQUCgaOjY8+ePUlHg3b58ssvKYo6fvw46SCtgwIGAIVTUVERFxfHMMyZM2caGhrGjh3L5/MdHR2NjIxIR4O2EAgERUVF58+fJx2kdbAFDQAKp1u3bgsXLjx16lRBQcHBgwe1tbW//vrrHj16TJo0KSgoSBY3MxWcjG5Bo4ABQHHp6OgsXbo0ISGhoKAgJCREVVV17dq1xsbGU6dODQ4OLi4uJh0QPomMjoNGAQMAcPT09FasWHHmzJl3797t3buXZVkPDw9DQ8MZM2YcPHiwtLSUdED4KxRFFRUVNTc3kw7SOihgAIA/GBgYrFy5Mjk5+e3bt/7+/nV1da6uroaGhrNnzz5y5Eh5eTnpgPARPB6vqalJ5j4noYABAD7C0NBw9erVly5dysvL27VrV3l5+dKlSymKmjdvXnh4eGVlJemA8Acej8fhcGRuFxoFDADwV4yNjb28vK5evZqbm/vvf/+7sLBw4cKFFEU5ODgwDFNdXU06IHAoiuJwODJ3HRYKGADgk/Tq1cvHx+fmzZtZWVlbtmzJzc1dsGABj8fj8/nR0dG1tbWkAyourIABABSCqanpN998c+fOnVevXv30008ZGRmOjo48Hs/FxSU2Nrauro50QIWjq6urrKyMFTAAgKIwNzf//vvvHzx4kJ6evnHjxtTUVDs7O0NDwyVLlsTHx9fX15MOqChkdBw0JmEBAEjMs2fPRCIRwzDPnj3T0dGxs7MTCASTJ0/u0qUL6WhybvDgwRMmTPD39ycdpBVQwAAAkvf06dOWJn7x4oWenp69vT2fz580aZKKigrpaPJp8uTJBgYGDMOQDtIKKGAAgI7CsuyTJ08YhmEY5vXr1wYGBg4ODgKBYPz48crKyqTTyZUFCxYUFhZeuHCBdJBWQAEDAHQ4lmUfPHggEolEIlFWVpahoaGjoyOfzx87dqySEq7FkYB169ZduHDh6dOnpIO0An7wAAAdjsvlDhs27N///vfr169v3769cOHC2NjYCRMm9O7d29vb+8aNGzI3RlHayOI4aKyAAQAIaG5uvnXrlkgkioyMfPv2be/evZ2cnPh8/siRI7lcLul0smffvn2enp4NDQ0ytKOAAgYAIKm5ufn69esMw0RFRRUUFJiamvL5fIFA8Pnnn6OJP11MTIyDg8P79+8NDAxIZ/lUKGAAAKnQ1NR05coVkUgUFRVVVFTUt2/fliYePHgwmvhvXb16dfz48WlpaQMGDCCd5VOhgAEApEtjY+OlS5cYhomJiSkpKenfv79AIODz+QMHDiQdTXqlp6dbWVldunRpwoQJpLN8KhQwAICUamhoOH/+vEgkOnHiRFlZmbW1dcua2MrKinQ0qVNSUqKvrx8ZGeno6Eg6y6eSmZPVAACKpkuXLjNmzDhw4EBBQUFcXNywYcN27do1YMCAwYMHb9u27eXLl6QDShEdHR0VFRXZGgeNAgYAkHaqqqqzZ88+cuRIYWHhyZMnBw4c+Ouvv/bv3//zzz//7bffXr9+TTogebI4DhoFDAAgM9TV1efNmxceHv7+/fuoqKh+/fpt2bKlb9++I0aM2LlzZ3Z2NumAJMncrcA4BwwAIMOqq6sTEhIYhjl9+nRdXd3o0aP5fL6Tk1OvXr1IR+tsU6ZM0dPTE4lEpIN8KhQwAIA8qKysjIuLE4lEiYmJ9fX1Y8aMEQgEjo6OxsbGpKN1Emdn53fv3l28eJF0kE+FLWgAAHmgra3t4uJy8uTJwsLCI0eO6OjobNiwoWfPnhMnTgwMDCwoKCAdsMNRFIWLsAAAgJju3bsvXrw4Pj6+oKAgNDRUQ0PD29u7R48ekydP3r9/f1FREemAHUXmzgGjgAEA5JOuru7y5csTExPfvXu3b98+JSWl1atXGxkZTZ8+PTQ0tKSkhHRACaMoqqioqKmpiXSQT4UCBgCQc/r6+m5ubufOncvPzw8ICKivr3d3dzc0NJw1a9bhw4fLyspIB5QMHo/HsqwMfbBAAQMAKAqKojw8PC5evPj27VuapisrK5cvX25oaDh37tywsLCKigrSAduFx+NxOBwZ2oVGAQMAKBwjI6M1a9ZcuXIlNzd3x44dRUVFixYtoijK3t7++PHjVVVVpAO2BUVRHA5Hhq7DQgEDACiunj17ent737hxIzs7e9u2bXl5ec7OzhRFOTk5RUVF1dTUkA7YClgBAwCA7DExMdmwYcPt27dfv379yy+/vH792snJicfjLViw4MSJE3V1daQD/j2ZGweNAgYAgD+YmZl999139+/ff/ny5Y8//vj8+XN7e3uKohYtWhQXFycWi0kH/FNcLle27kTCJCwAAPgr6enpIpGIYZjU1NTu3bvb2dnx+fwpU6aoqqqSjvbfPvvss7Fjx+7Zs4d0kE+CAgYAgE+Smpra0sTp6em6urrz588XCASTJk3q0qUL6Wj/Y+rUqTo6OpGRkaSDfBIUMAAAtALLsikpKS1NnJGRoa+v7+DgwOfzJ0yYoKKiQjabi4vL27dvL126RDbGJ0IBAwBAW7As++jRI4ZhRCJRZmYmRVEODg4CgWDs2LHKyspEIvn4+Jw9ezYtLY3Iu7cWLsICAIC24HK5Q4cO/e233169enXnzp0lS5YkJCRMnDixd+/e69atu3btWnNzcydHwkVYAACgiJqbm+/cucMwTGRkZF5eXs+ePZ2cnAQCwahRo7hcbicE2L9/v4eHR0NDA6kleKtgBQwAAJKhpKQ0evRooVCYk5Nz9erV+fPnHz9+3NbWtk+fPt9+++3du3c7esmnra3NsuzZs2cfPXok/fO8sAIGAICO0tTUdPXqVZFIFBUV9f79e3Nzcz6fz+fzhwwZIsE1cVpaWlBQ0Llz59LT0z+UGpfLtbS0nDp1qoeHh7W1taTeS4JQwAAA0OEaGxsvX77MMExMTExxcXG/fv34fL5AIBg4cGB7mjgzM9PT0zMpKanlErARI0ZYW1t37dq1pqYmLS3t7t270dHRhYWFM2bMCAwMNDMzk+B31H4oYAAA6DwNDQ0XLlwQiUQxMTFlZWVWVlYCgYDP57dhkRoSEuLj42NgYLB9+3ZHR8ePDgapr6+PiorauHFjcXExTdNubm6S+CYkAwUMAAAE1NfXJycnMwxz8uTJioqKgQMHtqyJ+/fv/ylfvm3btk2bNrm5ue3evVtbW/uvX1xZWbl+/fqQkJCtW7f++OOPkogvAShgAAAgSSwWnzlzRiQSxcbGVlVVffbZZy1r4r59+/7Zl4SEhLi7u2/ZsmXTpk2f/kZbtmz56aefQkJCXF1dJRG8vVDAAAAgFWpra5OSkhiGiYuLq6mpGTZsWMsVW3369PnPl2VmZg4aNMjZ2Tk4OLhVx2dZduXKlRERESkpKdJwPhgFDAAA0qWmpiYhIUEkEiUkJNTW1o4cOVIgEDg5OfXu3ZvD4cycOfPZs2cpKSl/u/P8f1VUVAwaNMja2joxMbEDgrcOChgAAKRUVVVVfHw8wzCJiYlisfiLL74YP378b7/9FhYW5uLi0rZjhoeHL1y4MC0tbcCAAZJN21ooYAAAkHYVFRWnTp1qWRPr6Ojk5+e3+WGIYrHYxMREIBD4+flJNmRroYABAEBmWFpaTp48OTAwsD0H8fT0vHTpEvFnNmAUJQAAyIbKysqXL1+OGDGinccZPnz48+fPic+qRAEDAIBsePXqFcuy7Z8raWNjw7JsRkaGRFK1GQoYAABkg1gs5nA4Xbt2bedxNDQ0PhyNIBQwAADIBjU1NQ6HU1NT087j1NbWfjgaQShgAACQDRYWFlwut/0XT6WmpnK5XAsLC4mkajMUMAAAyAYtLS1LS8u7d++28zj37t2zsrLS0tKSSKo2QwEDAIDMmDp1anR0dH19fZuPIBaLo6Ojp0yZIsFUbYMCBgAAmeHh4VFYWBgVFdXmI7Q8IXj16tUSTNU2GMQBAACyRG5mQWMFDAAAsiQwMLCoqGj9+vWt/UKWZTds2FBcXNzOQVqSggIGAABZYmZmRtN0SEjI1q1bP/2rWJbdunVrSEiIr6+vNDyLkMPhqJAOAAAA0Dpubm4FBQWbNm3Kzs7evXv33+5FV1RUbNiwISQkZNu2ba6urp0T8m/hHDAAAMikkJAQHx8ffX39X3/91dHR8aPPR2q55nnjxo3FxcW+vr7S074cFDAAAMiuzMxMT0/PpKQkiqIcHByGDx9uY2OjoaFRW1ubmpp67969lmueZ8yYERgYKCU7zx+ggAEAQLalpaUFBQUlJyc/f/78Q6lxuVwrK6spU6asXr16wIABZBN+FAoYAADkRFVVVUZGhlgsVlNTs7CwID7r6q+hgAEAAAjAbUgAAAAEoIABAAAIQAEDAAAQgAIGAAAgAAUMAABAAAoYAACAABQwAAAAAShgAAAAAlDAAAAABKCAAQAACEABAwAAEIACBgAAIAAFDAAAQAAKGAAAgAAUMAAAAAEoYAAAAAJQwAAAAASggAEAAAhAAQMAABCAAgYAACAABQwAAEAAChgAAIAAFDAAAAABKGAAAAACUMAAAAAEoIABAAAIQAEDAAAQ8P8AE/2Swp2cY5UAAAAASUVORK5CYII=
3
float
graph theory
undergraduate
237
237
1
Find the chromatic number of the following graph.
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
3
float
graph theory
undergraduate
238
238
1
Find the chromatic number of the following graph.
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
2
float
graph theory
undergraduate
239
239
1
The root of the balanced tree is at the center of the image. What is the height of the following tree?
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
2
float
graph theory
undergraduate
240
240
1
Count the number of faces of the following graph.
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
1
float
graph theory
undergraduate
241
241
1
Which node will be visited first if using pre-order DFS on the following tree graph?
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
D
text
graph theory
undergraduate
242
242
1
Which node will be visited first if using inorder DFS on the following tree graph?
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
C
text
graph theory
undergraduate
243
243
1
Which node will be secondly visited if using post-order DFS on the following tree graph?
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
E
text
graph theory
undergraduate
244
244
1
If we want to add a node with value 5 to this binary tree, under which node should it be added? choice: (A) 6 (B) 19 (C) 44 (D) 72
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
A
multiple choice
graph theory
undergraduate
245
245
1
Which data structure is the following graph shown? (A) heap (B) stack (C) binary tree (D) planted tree
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
C
multiple choice
graph theory
undergraduate
246
246
1
Insert 6 keys 60, 10, 53, 28, 42, 66 into an initially empty binary search tree. Suppose that the structure of the resulting tree is given in the figure. What is the possible value of the root?
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d89B3b2oEx2L+BbDJMO3GCYBvoAwyfAF5PCwnohhGIZhmCb66CdllRP3vOU5VVer1Y2NrY2NjZWVlcePnt67d++rr756+OCnhl0XGdNEUwgBwkDRzFjvlK6h8pfl8/k+nWI+n8/39w/29fUN9PUPDA329fUVisW+YrFYLOYK2UKhUMjllYe0mc3kMlnTFBnTdOVFQgiBQnh57tV2lYComX/Nkk7+tVqtWq9VXWqVaqVSKZfLpVKpUiqXy+Xy/n65XK5W6uVatVarVSqVcrVUqVQqpXKt1qg16lJKpObYNyVoklISGQDSsqxazbasurQs27Y31ta2trbW19dfLC3Mz8+fv3Bhenp6dHR8aGRYaYsICMk7IsJrtpiHXeXYHfsGxTAMwzAMkwbWE/U0HGplEuBvNUwyfAE5Q0RkOpPN/GUSfOohACCwAQBIeEoiFZtwXITA8Yr24kQvFpa+/PLLr776+suvvlpZWd3d361Wq41GQ6IEAAMMALCBENFE5fbjpBhDRJKW2rQQIp8rjo6OTs1Mzs3NzZ2bmZmZmZ6cmpycHBkZ6evry2bzQgjEpuuQM4QNUILjH6QUSYiopkGzT/qcfXTBjnL2UctQCABQQSVnKFnNKpfLW1tbG1ubGxtriuXl5ZXll+vr67u7u42G7aiKVKORtwmwba9M6TWpGiJnmmJ4ePjCxXPvvvvu+++//+prr01OThIISVL5Mfm9isA7dvpvfQfd6UrzJTrwxORbDJMM32KYBPgCwiTDF5DDw3oihmEYhuk5CIGIUH0u8ilQVIzDtanWsn25cQ0nRVe9Xl96+eLly9WlpaWnT5/+9OPjHx/8+Pjpk939PUtKYaBhGKhiFoCeZY/ndmQYRi6XGxgYGBkeHhwcHBwcHB4eHh4aHR4eHhkbHh8fHxsfGRkZGR4cGhoaKhaL2uNdaBSVLwzmjMnyAlvOVOnshWuPLdQsfZRWqpFZBECwX57a29vb29vZ3t7e3d3d3t7e2tjc3t7e2dnZ2dvd3y/v7u7u7e3t7u6W9vYrlUqj0VCtqht1q9hTrVZTzkf7O/vl/f16pb66sn7//v35y5cvXLg0PT09ODxkCANUTrSUB5cIE3PSMQzDMAzDJMB6op6GQ61MAvythkmGLyAdDimHGud/QpsOBKQfPl1cAxQRK0FEIiejlor+gKSXL19+9tlnn3/+5Weff768vFyt1616QyVEs5yoDAkBJgqJTQmPiUIpkgqFwujo6Ozs7KXL85cuXbpw7uK5c+empqaKxWImkxFCgCBEVL4/elhHOfVEWya5GiX/lPAoLT3gEtQZgdZu0ifUkU4EzW0x6Q6ck1IiQa3W2N/fX1tbW1hYePHixdLS4sLCwsul5Y2Njb1SmWyJiCjJ1tZS7eR4UKMKbKFh4Ojo8JUrV37153/2wQcfXLl6fXBwUBJISY4nVIy2SACqWoHrl0TY1BZ5+xhutFOBbzFMMnyLYRLgCwiTDF9ADg/riRiGYRimh/CCRAHFTTjyoituDEP9NFZX1hafLzx+/PjRo0c//fTT4yfPnz9/vru/R0RCCMMwSPM2kg3bEkIIkS0WxoZHRkZGhoaGhoeHR4YHh4eHR0ZGxsfHR8ZGx8bGxkbGR0ZG+voKWj0B3HiNPkYMtZT2YZqD49zd8TkiaSu6E9FrB32WMw9Qayi1CnoE3MH7+mBgcHBgcHBsbOzSpUtbWxvb29vbm1vb29ub2zvb29s7W9ub66trGxubm5vlcs2tmwFObaVlWY2GLaVsVGuNWs2q1xcXlq5cuXLl2tWrV69PTk1lMoY6goGRaPouoMBm86n91fzCGYZhGIZhDoT1RD0Nh1qZBPhbDZMMX0A6kAPymmljl5QPkZPHXTaX1X4CSm1klkTTxJ2d/a+//vpPf/zjJ7/93cNHD2uNer0hhRCOgEitJQARVbYxISCTyeTymZGRkfmLly5evHju3IXz58+fOzc7MTHR3z9omqZj1oPgBYAc+2ffI4o+Liw8/EpoE3U9VDjnV6sILURlB8pXmiBHckRCxWqcRkAksBFRWlQqlba3NxcXF58/ffb4yU+PHz9+8uTJxvqWbdtKUqT7HykvJxKIiPV6tVgsnj9//s033/ybv/mrW7ffHBufLBRz0rIRibCZZ013mEJqtiT4TknHDNurZXzetOTxd0eTPY1vMUwyfIthEuALCJMMX0AOD8eJeho+hZgE+B7MJMMXkA4kMk7kxQukNtyMpHImku5AMwEgpT9VlgFomoIIpKS1lfV79+7dvXv3/v37jx89evr06dbWhiQEgcLMePodSbZt2xlhTIyNnzs/OzM7Oz09PT01MT4+PjKi9EQjQ0NDg4P9fX19gZoHRsP55Dq+MJDzW+tsaiyYDW5UyFHWoBIfxUWX0iACsSoin4oHvBgNmQCgtiiEMiECAEAAIqhWK7u7uzs7O9tbGxsbG+vr62urGy9fvlxaWlpcXFxb29jc3LRt2zRNAwwhhA1k27ZlWULAUP/A1NTU/NUr165du/Haqzdu3Lh27Uo+nyUQBARS7Wqzxhg6L3UPJqd9nHFqcU+AHCdiTh++xTAJ8AWESYYvIIeH40Q9DZ9CTAJ8D2aS4QvIWcGLIzi5zKIGnYGrJCIi4Q1TIkLEes1aW1t78ODBv/3bv3366acvX74slfeEYSAaRKS8hxRZwzRNgYjFYvHa1auvv/76q6++euXK/IULF0ZHR3XHHK8Oej0RMT7eERHlCcSJojRHh4oQqX+0wWgUCMkQaguQCU3NUWBFpY9q2i1ZlrWxsfXo0Y8PH9z77rvvHj746cWL5XJ5n4gaDVuhhD+eMsiuN8Ymx95+++0PPvrwz//8l+cunDdNYZqmgGbcR99rdA+iqoZn8ORvt/AJG6nVOhb4FsMkw7cYJgG+gDDJ8AXk8HCcqKfhU4hJgO/BTDJ8ATkrqOBGIEgE/iOolESIqIJEpmkgAgI8ffr8m6+/+/777+/fv//48eOXL19WKhWbLMMwwDDV4VbjpwDkxOjY/OWLV69evXbt2qULF2dm5sbGRoaHh/v6+kzT1A2HdDMgX1Xj40T6qLTQescYJ4JmQwV1NIRaS5IAiA6BoZthTQgAV+dVr1vb25tbWxubGxurK+svXiw/efLo0aNHT548W15eVtoiIUx006LJhpXP50cnRufm5i5fvfLmmzfffffdy5cvDQwMAYBNymNbpahDIhLauEO90eKCRLrmKK4djha+xTDJ8C2GSYAvIEwyfAE5POxjzTAMwzBdDklEBCn1IBECoEQVF1B/q+cnQWRXq7VGo7G7s/PlF3f+8zf/8eWXXz55+pyITNMUpiHAQEQSCAA508j19xmGUSjmLl24eOvWG++8887t27fHxyczmYzaupTStm1ldB32VFaxIV9OroinO6GqF3rG0+sPod9xHE0sCQkQUIKtzJQAgEgCggQBiAKknjxOkiUtTdQjxOjYxPjkhACs1RobGxv37t378ssv+/r68vns3t5evV6v1y3LspSqyMjnbKCXL1dXVtbu3r33/Okzq96o1+tXr17t7+9XueGIlNk2BDy2AZEAkNToPOlZcBOQECJgic0wDMMwDMN6op6GQ61MAvythkmGLyBnAjVUigBUBEFlYleDp6SUJNC1rSEAYZqGAVCvy4WFZ99+++0Xn3354MGDxRfP19fXS+UqIhqG0RwJBQS2NTo6euXq/CuvvHLjxo2L589NTU1NTEyMjo5ms3mtAs2RbrrFskIIYZNENzk8RMeJHAJJvjydEURJeBJ9r1V9yFsm1J+D487ifHkkBP2tpTPyy0ZEFZYBlESEYASaQjkZkaRarbazs7O+vr6xtv7ixcK9e/d++OGHH398tLKyQkSGkTEMA8BxvM4IY2hoYObc3CuvvPLGrdc/+OCDN27dNAQCCElS6p7iumKIBJGtpuit7V9SQvAsZj0RczrwLYZJgC8gTDJ8ATk8rCdiGIZhmDNE3OiqIOQkUAd0h0cpPZHtZHsHJQgiIhOFUvXUK7Vapb64uHj37t3f/e53v/vd7zY2NiQQIipxkEQggJxp5PP5YrFYKOYunDv/xhtv3L59+6233pyYmPLCGZa0veFOzpOZUrW4me4BAMkZuuWZ6QApLUzIt6iFVwLVGnHPgs22QkRtMYHocxdKjx7Vcv2hpdoAAKAgZ2cRiWwl4SEpiYSU0nY3aJjmxOTk5NQUEO3s7MydvzA8OtbfP/j48ePd3d1KpVKpVKSUQqBpmmDLzc3NlfWNFy+Wl5aW6vU6CJydnS0W+nO5nDAEKeOoZuWcjHLgCImk0w7aeDTX7FwPsYVVWscVM2IYhmEYpqNgPVFPw6FWJgH+VsMkwxeQUyIpTqQfFMc9h/TM7kREJAxXVeTEL7KGUKPSnjx58snv/vDNN988fPhwYWFhZ2en1qgjonDNdWyger06Mjh07dq119949c2bt+bn58dHx4ZHh4aGhrLZvCcXopiOIBwtjwSV0x1RUljD4sSGUnSnNH46MnEueI0TueTBeiJpCSEcjRJ6qdbQa14vGZxvljMKrDkS0F1ONBqNvf2dra2tjbX1Z8+effnll99++/WjR0+2tray2awQwkRhkZQSstlsf39xYmLi0uWLf/arX374/kfzly/n81kAsCx3X1AqkyNXzCXBHYPmzPe5FJG3j9pvPdnckcG3GCYZvsUwCfAFhEmGLyCHh/VEDMMwDHOGSFISOfEIZwiRM94JAGywQaVRR0FSAgBKQgA0kQjL5erOzs7ayurXX3/98ccff//994tLC5Yl8/m8YZiIYAMhQT6f6+8vDg0PzE7P3Lx589atW7dv356ZmVEaItfNuqke0mqsfZRS0QdHyuQEjCBoUC2JnAzu3pTQvqchVYQoeRlNzRRdAqKhxvSB2jkCBAQCgYKI1G9qSoqin1xVCElKCWALE8fGx8cnxq9cvnbp8nz/4MDA0ODIyNjCwsLOzla5XG40bATMZIQlG5ubm2tra8+ePWs0bGrQ3t7epcsXBwcHs5m8MzYQhJDB3HC+KJ5fVRSTRY5hGIZhmB6C9UQ9DYdamQT4Ww2TDF9ATpXYcUBenIikoyJRPkREBCA86QrYUghhZNBu0OPHj+98+dXHH3/84MGDzc3Nvb29ulUjQiEEIkqEer2eEcb58+dvvHr1ww8/vPXGzcnJyaGhob6+vmw2q1sONTuA8MWJAguEvasV/qxb+t6ljxOF1wpPj8VXSU2H5a9eM7KTUJQeFfLiMp6kKKDz0ivguRchiXq9XirvbW1tvVxavnv37m9/+9t79+6urW3U6/VcIQ+gjJXINM1CoTA1NXXz5s2fvffun//lX1y8cBEAGhKIQJAUQhDYFCXR8jmIo9p9X4TOMSB3ODJJEd9imGT4FsMkwBcQJhm+gBwe1hMxDMMwzJkj3pMIQXnTeEOcEJWqSOgmypmM0Wg0tlb3nj9//s2drz///PM//vGPyy9fGIYhhEBhEknbtrPZbCGXm52anJ2ZuX796htvvPHzn7975cq1XC4Hrq2ylzDL9wQmmwEX15FIRW0MCOW8V/8gIvicidrzxJFHOzwKogbBpfrGJgnDETFylVYoPd8odEcI6ptT4+Cy+Uyxf3xsfHxu9vzI2KhhGOPj448fP3758uXW1ka9XlcxJSnl+vr6zuZWqVTaL5eEMN9+uzQ7N9c/NGgYKCXaQIIEEBEpyyQAkGpdvcpqSkBV5B7DQGo59ipiGIZhmK6F9UQ9DYdamQT4Ww2TDF9AOgcvJKR7EpFAKaUgICKJzSCRUgllDdjZ2fuP//jP3//2d999993i4mKlWrIsSwihQhS2bUsJhUJuenr6w4/e/8WHH127dm16erJYLGYyOU1g4sNT4ni+PKD8qolAhLUqqvJ2YHU/7eWwDy95QFwj3J8jM6nFTdFXcaI/Kve8f4cCzk2+ctRRC2mLnCNiQ6PRKFf2l18s/fDDD3/84x9/97vfrK6uqpY2DIOIBAGaxsDAwNTM9FtvvfX3f//3b96+nSvmAUBKQknN6qH0Sm6aiPv3IkJ5FBSAHSpUxLcYJhm+xTAJ8AWESYYvIIeH9UQMwzAMc7ZBRE1J5D4G2VI42c2ansqGIYigVCo9Xlq+d/eH3/72t1999dXzhaelUimbzQrDkI5LDgwO9U9NTJ8/P3ft2rV33nnnzTffnJ6ezmQyiGhZFhE5Oey10VVeGAERQajsZgBupq0krRBKhGD8yE9ySCIufqRPb02dpMtqfPvohFrscGm6vxI0I0S+OBcigu/h1QAAAhsAACUAKW2Rs3UQ3qaFafTlMwNDxaGhof7+/kKhUCwWHz58uLi4uLGxUS6XEREMw6rVarXGzs5erVLvKw5sb2+/cuPG5Mx0oZAXAqSUTh40EghAEhCFk12OZMClKMpNKTIJWgutyjAMwzDMmYD1RD0Nh1qZBPhbDZMMX0A6h4CSCLSjY2veQEoEVK/XXzxf+Kd/+MePP/54eXl5f3+/YdXIs2IGkGQZhnH9+vUP3nv//fffv3XrjcHBQcPImKbpyYgQ0RlR5Y8TeRoiN0O83h+Uy7Xh/dbiDgmDxZLzl+nLxIUtjiac4e/wEVEnTUwktYWTfMddt2sKK4kAnPGD7hQVtyIisi2rXq1tbW19+eWX//mf//nNN988ffrUtu1MJuNtJZPJ5HK511678d///v/z3vvvX7p0KZMxLNsiGRxrpjYnNK1QWE/kX0WGSminYfkWwyTDtxgmAb6AMMnwBeTwsJ6IYRiGYc4wBCCBkERgjJMTIZJAIE3TEAKq1cba2tqjhz9+/dWdP3zyyaOffqrWK5LIMDKIYFl10zQHB/pmZmauXLly48b111+/eePGjblz5wBA2raU0pPY6HElcJVEGJriCxPFhm/Cs9ojjeYIjlwF0/SoBnKDLcI5LEGCu0xgu+tLIQwppdtuPpMgFXtS/wohMrlisVDsHxgCNDKZzNzc3IMH9548ebL68mWlUmnYFiI27PrOzhaAHBgY2N7efufdd69cuTI2OW4aYFlSEwy5idjAcU0C16VIVxgF6k9E/ngfwzAMwzBdBeuJehoOtTIJ8LcaJhm+gHQI0hk3hFI2x0bZtu15EgGAaQoievni5bfffvsv/88/f/L73+/v7xORBBsQAQSRbdv24ODgpYvn33///b/+67+8dOlSsdifzWZBOAoUvzgICLX8X+QToXhBiPDYJURsMbiQXk8UR0DLkzZO5NkDQSjlGZHtxUr06JzjSeQEX9Qqwo3yRNTZXVd6S6qV3GMazInm/Feit0yjXt1c33j06NGvf/1vn37yyfLy8n65iohoCESnChfnL/3iF7/45a9+9dFHH/X3F+t1S9U85DfkxImUo7YhgnutlncDWEI7lKwnYo4evsUwCfAFhEmGLyCHh/VEAdp/4mEYhmE6la64tmsKHScEA0BA3ugkLygjJXg7mzMFIuzslJ49e/b1nS+/+Ozzb77+en19FQCMjImIJKVl14eGhi5dvPjKK9deffXV119//dq1V4aHhxENIrJsGwhQBJ+5nCFmel4zVSMAACTyhVc0IiMmB44+CyzvaxJoNkwCXuEtdINAnKsZF0PDv/FI9PxlzhQ1dgyCESIgp72cNQ0UUkpSOdEkgpt1TC1NglTphmEUCgO5XC6bzxkZ89y5Cz/88MOTnx49fvZ0a2fbMAxErNVqiwtLf/z0s0q5trOzd+vWG5cvXzYyaNkyHCZycq6hBKcXuXstlcRIEAKiJHQjYiAAACOkYV1xxjEMwzBMr8JxIoZhGKb7kFH6kaPPmH6iUDMW4qhaVJ5zUDEaxx/Zm+L+Bilh4dnz3/3mt7//3W++/vrrWq2Wz+fJ9UsWQmQRz52f/dWv/uz9999/7bXXhoeHLcuyLMtpOkREVOoVr/m0iEnzh5foPR3ixEcttdYB9ORlHt5ALURUht8Q+j4ZlSkM3X8dDU446AbUDEu5cUDy1vG2q9fEtm3LsgBgdGT8ow+nbt9685tvvvns0z/Sb3/TePhQVS+Xy1kN6+HDh+vr688Xnu5s/18DAwOTk5PkdpjI2gbMktCTn/srEN73M3+WMQzDMAzDcSIA4NH1vU174xfCyx/Ht9O4nsmP4J1GXMbuo+obcTYuR27v0snEvXwGxhDJ0PTwkjqd2W7BPuNIdPyVJSIilOhMVoPOJAI5L/BgmghgbG7sfP/td198/vlnn3325KcfS6WSECABrYY0DMPMZGZnZ2+/efPWrVuvvfbaxYsXh4eHTdMEACklafEmAU2lSXMYmj/Q4EQ3EMCdFUVYPRQ3ECwui1kTBF2Fk0ybxxq1bHHg6oBUBEeNvPOrcuLOyuBvJBv8Y7hU1jN1PJu2QUTo+H+DBFJ6H6f9VaAKDQAQGZHJ4FBm+MZrr+bz2fGp8bvffffll18uLi7W6zXLkgCws7356Ef71wJ3d7fff//9N27d7BsYAgCUJKVrReT4EwEAEDb7oXTjVkigDq5USe2aexSZB62TYQ0Uc7ZI3z9PpifzM+rRcpj3EW7zVol8bhdRc3sajhMxDMMwHU6rr53hPOjdIilyISIJQd2QEhepxFmIaNsSbPngwYN/+Zd/ufPVVwtPn9VqlUKhIIEAZCaTKRaLE5OTN2+9/t//7/9+8+brhUKfaZq2bdu27RoM+TYqhJtD3SWUEivlyP8zdgh8wiIMTm+7TM+p2vs7rMYSgHqbByRO3jGSUlarBGSPjY0NDw9eu3btxvXrSvG0ublZqtSEEFJam5ubX3zxxdOnT/d39/r7+89fuFQc6Dcx1eHw3KacerrjH92anLw6jGF6Bz65GOa4iTvLjjj3xRmiZ32sD3PB7Z5ewhZfADLFe2OcgiNumaPl1L4Y9KRHYKtXhvBX6B7SEx3zBSSu3cLT0xw1fa1klcrpXOEjkoNpdfbNJTXczFGxEJF0RpAJ6VoFZQQgwsuXq3/45JPP/vTF13fuLC0tlstlACFMrFarQohz52Zv3Ljx7rvv3rx58+rVq2NjY+rYOUnNhOkpWRzVjGZlHc557ylr/Cm6IkCkg6RhEHV8W3KqTrlWa0g9XqPtnKu7UdPjtuirjza+zPamSyBPneSkInODMkrv4wWJ1JhBcB2gdL9wwzBQkLTsra2dnx7++M03dz799NMfHzxYWVmp1GqZTEYAZLPZixfmb95+889+9Yv3339/bGI8m8lKCbZtA0pHw9Q8l4M1R5KIhjNFEJEtnJGPRkvteVK3mOS+kXydgZi5h6lJerrnabM9eu8Z9TA9pFU1yuE5+S366Jln1CMJEfbixSTxAhL33O4R9+Wjt1qS9UQM01vnPMP0JF0kdkB31JOLF0fw/luvW7Va7e733//Lv/zL99/e3d7ebjRqmUxGEqKgYrE4PDz4xhtvvPfee3/+57+8fPlyo2GrQkBLVdbcoBuhUB463sSUw72iOHJV10lfxiOti9LjFwT5corpC3gj3dAQqLU8AXlKosDxsm0bpETE0dHRj/7sw/Pn50zTzGUyUsq1jQ1EBClt237w4MHCwoJtN/oKxVdff21yesoQGZUfjyjpLUvFkIgI9RFqRMryvOve0BiGYbqALlFSHz+qoUTUxPDv7qcH40T8PYfRafX4nnx/4B54krTX2nEuJIcpM00J3d03kvc6jVqkvaHmJ6HSCquHMGKutnWlPfH+h4AARI6WBFAIIQwAIhAChIDlla1//dd//exPf3pw7+HOzo6UEg1BCPV6NZvN3rz56s9//vNbb7x57dq1iYkpItTHQDnuOYgSAaRARAGkLJbRlcsIlWhNc+dBAARMO+wMIOphK9jaEe2Qqpzo0g6PTz8FAN54MTAgKmakx1t0nZHSH6kpSAK9JUMBI1Wms10EcDVHBqGUEgR5yzg+TeogkkBAQpAEYxPjf/nXfzU7OzszN/f1V1/dvXt3v1zN5/MoqN6ofvbpZ9vb23/1V3/1wUfvz52/UCwULZK2bQMAoBROnTEQ/VHORODvMG6FbVdV1MneGclX7JPZLsOEOUwP4afTbiVZo5q8DNMqgbtD4Omx59q5B+NEDMMwTNeQJvTfnpioUx4Igvm2nDFHwZCMyj1Vq9V2d3bu3Lnz63//97t371arVSmlEAIRDMPo6+ubnp784IMPfvWrX12+fHVkZERKWa/XA4EA5XskyM1hBkk6ESISQkQqaw4SmBzVd7mT+74X3qM0U1LiReuSxUpETtjOy4bmEx+5eh8iqtXsbDZ79erVoaGhvr6+bDZbqVQWXiw3Gg2yCRGfP3++ublpmqZpmlLChUsXTSOLAkmNZsTmFiP2EdT4NC9UpIa/tb/7DMMwDNNJdJEUvS04ThSgU14MGIZhmCgi0yq15DKWhqO8FySrhw5cGV0nYydCJAUiqvxTNiAgAkiVZcwUuLW19U//+I+ffvLHR48eVSolEIgGSLJJUqFQeO+9n/3FX/zFjRs3Zmdni8WilM18W01PbEGo7b+jmPG0M6Qci5pZt/xaJB+J8YKDWxjjHJqOzPOr5RK8PUL/lMAwPVV+vFeRri0C/bc6Cp4reXJlBKDyKkJEcvaIPNGXOiiS0LKpf2Do9Zu3+vsHZ2bmPvndbz799NOdipXJZNA06rZ154s7Ozt7pVLl/Q+t+SuX+vv6bWnbFqHrwmQDGUAYMN5ujjhDADVkEQAFkuOWlaI5T5fkPtD59WcYppfptWtUsjdlq+6ErapKe621HThOxDAMw5xpuv1rD4L3Tq4mKL9qKSW4b+NCYL1Se7m+/tWXX/7uN7/95pvvbNuWQAYKAMhkMiMjI5cvX/roo49+8YtfjI6OGoZBIGzbVsPGpD/Qo6IAAjDBqSaU6ey06Iint8hUZS0XQkBaWrEDN+Q0e1jC43fCbjQahmGMT4wXi8Xh4WFE2iuVHj9+urOzo9ZaXl7e398vFAoAIARcujyfMXO6RswZZuZGr5yAkYoekhruqPteAxxCVHUM9PoHYYZhGIZpA44TeXTEsybDMAzTImmu3if5ohjMo+G+LjenUEydUfvbKceNBElo5rcCAIukq+wAQWgA7O7s/K9//Kff/OY3T548se2GshOybds0sv39/e+///P/8l/+y5UrV4aGhhANIgSwEQHRkEQopBpA5o55craIupLImWGA50akVToqX1sc6e+2zSUxZvpBJH9XTJP3qok+vCuMLiwiFESOmkjF2jAxiITUTCEnUY0ri14LqekD5dRHKc4clyJERFtIACUyc6ZLKRsNMjOZ6dmZX/3FX87MzP3bv/3rx7/+9eb2rpTSyGYa0v7iiy+2trYadr3RqF29/kp/X79lSeWPLkhrGZREhEgShGfY5AxDAxvUoEVEkEpS1MlPVp1cN4ZhGOb4OPqMqF0Jx4kYhmEYpnMhIukkQwf13u6JNYjIMNCu2y8Wl7/+6s4nn3zy/TffWiQBAAQKFJlMZnp6+rXXXvvwww/feuvNwcFhy7JAOcsoX+SIvGY+uYo/SHQ0wpkzTUqlTKv54JAABAbERO21ttdDPLcjJSxCxEKxeOHChaGhoWq1XC6Xv//+h+XlZcuybNteXV2t1+uDwwMAIMzMlStXjExOGAKkvwIkwBn1CBJI6JbbHaIfYhiGYRjm0PRmnMhzsuA4IsMwTOcQ94UnPAo9jT7otAabJI17J59GJri/+hu5ymAl3bRm4DnOYDPZlgFgAOyVSv/n//yff/vXf194+kwiCBQA0pZWLlcYHRv7+c9//t/+2/9rfn4+k8lZlvOGj4jua71AJOVCZCB49sUo9FRWzZaUYANGOO/oGigKTAsv1STZcQBibtNpVELh1dP3oujy04SHPFkQAEh09D7gz3HmLBmWDGn6IKn1hfDoP7dMfcPOHql4jcpNR9LdQXIESLZlAUCxWPzgo1/MzMz9wz/8wz//8z9vb2/bJPP5fKPR+NOnn21vbxsZE5Hmr1wrFIpS2kRISlNEzra8KJhEqamKPDWamwjOIe4on1hgqY2HPc4lxDAM0zmkzyZ8+Cs2q40cejNOxDAMwzCdDqnUVi6IKGVT3WEIJJteLC59++23n/3xTw9+uFezGkQSEdHAYq44O3f+9u3bH374/o0bNwYHB2u1Wlicgm6cQgihsmip37H+OK6pdns75JTRJvKguM+pEZkRrO0dRURIZ2WdTPM4KkkROLGcTCYzOTlZLBbX19dLpdKdO3cWFhZssi3L2t3d/fHBT7//7e8AIJvNX7hwwTSyQgiLLFU1b++8/ZVAKlTUSZ5EDMMwDMMcit6ME7X0QBn+3sjxRYZhmOMmWetxfKR1q0mDHheJeuOPU+WAyksOCCDVqz4CgCQJnqYDpQBRrdd/99tP/vl//q/Hjx/bdkMIQDQbtlXIFsbGxt9+683/8T/+fn7+imlmarVaMz2ZtzlEIhIGICFIR1XkH/fki+wgopYALTbqE7+/yRwY9znwcIT9hpI1RK06W8UsT023Ji9iElootK5PFORb3ltdVwyFNUSOagmUa1LzaDgZ0/RRbCgRgaRynSaSUhJlMpn3P/xgcnLSNM3tjc29vT0gKBaLlUrl97/9ZH93b3hwyDTN2Zlz2YIBDQEANkgAMAAD8SAJSkqkjUEjCYAAQltSPzoivNfHQJz/VLJukfXmTOfQQdFwhukKWtMR9/h515txIkVPH3iGYRgmnlO+QSCiO9xMe/d2JRumKQDEy+Xl7767+9mf/vTgwYP9/X0bJBAI08jlcrOzsz//+c8/+OC9+fn54eHBarWuRiQhKp2LEw9CRBSkv/QfcxYz9RxmHHWxnUUzq32oARPyx0Eol1kg2JS8brgoqRUFbs+xgYSnGjOMsbExwzB++ctfWrX6F1988XThORA0Go3y3v5PD3769//zb5Zl/fLPfzU5PQtAiIZXo2j9lLY5hmEYhmHOND0YJ2r16T+scudRiycPt3kYbpMwvdAm3b2Pcc4+3l57F+E049LjvhrFedMcfavqrj2YunylEFGCItLGH9mAgChIAoC07a+++up//v/+6cGDH0ulPYkkUEigTCYzMjLyxhtv/Nf/+l9v3LghhKhW6wCAnqeMQELp+FW76c3iwkO6204cflWRCM2J2r9owsclrAGJI7zWYZZJkx9Nm4LNKb5Aj/vDmaFnrnfjLLrZtYTmULWwS1EcAqK9rgPJyCSCJNtA8OpBRJZNuWzhF7/8s/Hx8Uq9trqxXqlUEDGfz29vb//6//y6VqvNzMzkcrn+weFMxiBLAIB0vIoIEaUKOOoVkGrXRChQdvJXrbjrSfLVQyYudvgrcKtXnjhNXOQVkukoDn9c+JieXfis7HxYQ3oAPRgnYs4i4qCXBIZheofuv50rJZFjXC2lmoICDEMYYGysb/7ww/d//MOf7t27t7m53ZA2IqIhBOD4+PgHH3zwwQcfzM/PDwz01euWmzG9CWrhITeK4UwP1wTbtxM6bs7YfQGpqQlqT3STEB9Ns3U9D5oXfzQy5ujo6LVXrv/V3/y1MI0//elPLxYWTdO06/VSqXT37r3//T//V7lc/ugXv8yNZG0gpXTz1UpKwx9b7Nge072csXOBYRiG6Xw4TpRA8jdP5oRJ+LKXZuE0X/CSH7PSH/c0PgiHh/uhTpo8WWGS/SnitpKmnDSltbd8dx/3lO0vQlPCy4D/HEy/9cAm2ibVdiOVIERNJVFD2gYggACwkWwDBBHcv3//f/3T//722283NzfrtmWapk3SMIz+/v6rV6/+zd/8zVtvvZXJZGq1RjMS5JoOK4shRHScdNxqeJEL0tJwRSiJDmlFrUoFiFf3pJ+bnBktzbmfRq+kZyhTurDgXL1JfAEgFYvRncjJ8XeK9AKPyGKmkAQC9aoEfIvQFS8RxvQoBAJAMkCTLBGRbdsAYCP2Dwz8+V/8xejo6NbW1sbaumVZJDCTzy0vL//jP/5Py5IXL12+lDNNM2sIw810BoggSBARgfQFoYRngiWJztBItPRX7MPc2dM/n4R1lIG1AiIp9tNsm7ZjsGnuGmmeHE7yGTUNrIVRHNWZnpzZs9WeEFdCe7XlY83Ewt2CYRjmOOCvu8dEF962mtEc3d3GnaXUHxnTyJiZ3b3dr7786tNP/vDtna9fvliq2xYiEoJt2/39/R9++OHf/u3fXrlypb+/3zAMvXwhhL6twKt7eMrZodNPtEDbttTK6Oq8AoSXJDzY/Mj7WwihC8qIKJPJjI6OXn/llb/7u7/7m7/5m6GhoVqtJqWs1Wq7W7vffPPNP/zDP9y58w0AGEYzF14gJuULFWFzgUNmbWPih0V0euc/I5x6M0bGARnm+DqG5P7GpIH1RAl04dvIKXEkqoqAlCA5j0lcsSf/veWolCbdymHaIb2GKI1nTXp1QxriHC6S95f7QzLJvkLh60DnPAa14ExEQMqJCEgAgCCV1FwSGEDw/OnCbz7+zy8/+3JpaalWqxnZDCEYhpHL5c6fn/vlL3/x0Ud/ViwWLcsKuiCTjQggBCglkTsTQyPOPGUKugPffFXEyJ8pOXzPTzi7AydduLek1Q35C2xOR0095E5p/q3wtEUqVoKx6c8cDZeu3tJ/q0FqKiZE/qoFxn01x7JFRWNcJREQAgqyiQQCkQQQiEjK60oSABhGZnx8/K/++q/7+4svXy7tbe/Y4FifP3ny5H/+0z/lcrlLly5NTU25wSBERIkkAAEMr1aetggQkQQAEoZ1WKdLe7qhZPUi+MuUUdelwyBCPfxY3yGB70cHEdcf0t+nIonUhbV9lCOfe9vTvPdmr2hPm5NcQhv9JFk8G1lOeFtxc9PQfUe/vWf7noPjRMxxcyQnIZ/JTEsceUyw1a0zTAtoGbKcKcoaWE0XQggB5XJ16cWLzz///I9//Ozpo8eWZYEhELHeqOdyuXfeeefDD99/9dVXh4aGQLdJDhhUKzVKKKAQyLTlW4VpnabiRhthFtZwJZUQmhl3UdO2BSpJXkLJRlPy49RBFwdlMrnx8fE33njjv/23/zY4OPzpp59ubGz05QvVUnn5xcs/ffrZ8PDwRx99dOP1VwGgXrfVejaAoQWpkACIQKCU0kBBRIAi3tS8KzmmWwCbEHUrwj2/WzJYCJTQ3orMScJHhDljcJwoktY8C5h4kr+3pF83/eNR8lea9nyLkpdPJm5/E7ZyujGOYyHe0iT5m3/bMnsR+hGelVCTNN/6kl1UwhPTjFRPv+/d1kMOUgKGl0n/fSzZF0DnqL67xpWWhMp15by0k/CCRE45BGurq19+/sUXn33+04OHe3t72ULWRBRCFHL56cmJ93/+s1/96i+mpqZQCCklednQAcCNEHlKIl23ojipkUGqDQ1tylH15LiP8IdRXkTXLTlypuY6zZ7YqLqGKHLIWGCi0KZjTI4zQgAvz5qrSwLNP7u5FtkIQNo+Kjf0fC4/O3f+L//6b0wzu7S0VKuUEMGyGuXy/r0fvieigf7+ubm5gcE+VAEhAkSUCIK0OgAIla+NEAUJZaTeoSHH5Ovt4TWMaTTF4atT8p3luJ9Ru+/+Ekd7z6jJ/SF5epq2jbxbBZ4MD68QaZXe6RVHS3qlT/I1odUtphnrcJh3NH15vUymq+A4EXMCHIle8VBf0tyHY4JO/0LOXxtOlJC/RvLifBc8eXrijFBKovCbPyIKAZZFWztbd7/7/uN///Xdu3fr9TqaBgisNxr5bO7GjRvvvvv2m2++OT09nc1mnexmblfWf0QqiaB7BETioLfr0yHQpE5kxZtMdGCQKC6Klya651OKqdgNOCI1lfTMiSe6ijbLsrPZ/Llz59752bsbG2tDA31fffVVtVrNF/s3Nzfv37v3h99/MjQ0cPvtt2amZyVCo2GpFSWiCFUHAZDEAQEzhulVtFPYeUaNvwIL/yqd/zTLMMyZh+NELcFvicmE40GHl0mn+X4Si3YPdtYN3VaDZepP3gfdsFsVAycvn6w3YXSSv9Glbbeot6yD1yVSAzfUU1pkTdqTwkWS5lv3WSf5a1v6tZK/6KY/Z5O/8h09ASUROO5EIJw3Adjb3b539/6dL+588/XXq2trxWLRNAUiZrPZ0dHRmzdvfviLjy7OXyoUCkRk2TaEQj+IiCCbQSLpG5UWOUjtZGn1G36rSsPkvnF4IuofCNh5NKcQgAoXuU5GaoiaL2wklShIWz0uJ1oIcuNQbkiIVD0RheMz7XqkK98lg4iIbFsKIYp9ffPz83/+l38hpVxeXrYsCw2jWq2urr68c+dOoZDr6+sbHh7O5/MGIAISIQI67UACESXYApDIRhSOVZHTzU7+2hX5ZALHc2VOT3u+J8kK2cPUqhd0Ael7QvqWDJaWPPAzXTnJ05Ojrq3qUNIsH6df69Z+ohO3v+k1O+FywnOTSd834raVfPU4qm8qcfrrw+iyj4/2njx7Do4TMcfNkV0O/BEcZwoRqTQ+kfdmfUo4i1B7dTiSVylfFmrndeLwpfY64YMbaOcEf5BwXp6EA31QHxBHey8M9JCj6oSdTRu36g69u8fFC7wuh6KZJUpfQK1iWfL58+f//L/+95eff1GpVEzTtEG988P09PRrN159++23X3311cHBQSKSUh6Yuay7kp11KIFrS2zzuqEicvzLo8uJnAV+rVACycsor6LA/ajRaBSKxRs3bpRKpZWVlS8///zRk2dSSgB4+vSxZdXHx8eHh4cvXZ4fHBgiAtuOuLGq4Bd64xy5jx2KTnizYg6geVXX8v15vw98Ro2UlLZRgaM91zwFE5/Ch0RpR1HTVx7mcS7l8yrDHIaeihO1N+qYOVqOyt1DzVVXWE++H3vBDd992/7mQ+S9sbf33ObUXPtGTKG5ukNBdz8dturf1Jwe9jzyvrSHD6729BZ90A9640r71cjdRHp9U/ovLU1/km43hY1zZDgO4rxFDj9uPxWIKLUYpVQCEykBwDBEqVRZXlr8+qsvv/ry88dPHuVyuUwmQ2gIQxQLxWvXrr333ns3blwfHx8nIstq1tm5JqJU+bK8J1MRMolx3uGPdq9SkdCSkTfiA8/BA2/fhzl2SV/R9WtRcxgJNodbRV95tAkCmrnkw+hzdaehNLcwvxeVADUQjMjJQeZ0CyIiV9eGDWkbgKZpDo+M3rjx2tafbdfr1sbGhrTqaODOzk69Xv/s8z8ODQ1lMpniK0U0DBLgOGO7N8hm4On0A9zJV9RkX6FWVY2HV14cRh90eH0TPwO3qiFq4n+E8J70mr8PPAVasrpPwWGeUeOm9Fo/OfwdP7atQs+lh1ECxrn+pdLIaz2t1TocxkfpdEnuyd395tUCPRUnYs42ARuFyGXCOh3wfy0/cMW4z/4Jq7Tx+NsthiAdBiJouXu8yYHfekcCv4FLsg9ISz1E9VN9W20f6Khnx+6OEymOw7vxFEjuMGFnIiklEQkhAGBvd/df/p9//cPvfr+5uSmEkEQk0BCiUCzOzc29/fbbv/rVryYnx+3QWLOmfbVWDVeAKTpPknYkz5qHH+Z8ZIQVQIELTvhTsFIVBdbSbzHOqDT3YtJcq3UPcsSgYxAiGgA2ESIKIZBASlmvN0bHxn7xyz+rVCqPHv3YaDT2y2XTNAHgq6++Ku1XBoYGJ6YmB4aGspmsLQll8yuKVzFPK+f+HWyQ7qLjrj/MiXGYZ1SIujJECqLbeEaFth5TPTrsZnHm8fRZEHNcUj4xugsc3B9aik4ehySNObv0VJzoqKLC/BzQKoeJT6dBHZfOuai10UNOQDfRmaTca+mP/QsAwPC66AsVpUS/T7f30hVXcNTE9MopJs2Y/PAX+1a/dh5Vvo92jqPnTISIJBEAUPnGmIZs2Du7pfs/3Pvq8y/u3btnNRrCMEggIhqGcW5u7u1337p169a5C+cQodGwY0Y0aA98kgSiF5M6+Mt2G/tzMMft+pTs1xDnlZCmhHBpScu3atysq72Uj5SbtAzA0wQ5N7qIA33gVYs0B3MkCa5GSWqFqVARkVQ58aREAMhm8zOz06/fuvnhh78AEPfv/iCFBQCrK+uyfu8Pv/90aGjk7XfemZyZQkSJ5H3UdrqZK/bFpj+R1/J0/Fe/w/i7tedlFuZMPHl6O9ub96OT6Ycpr6nN70DH9q7em0c5DQeea208qyc8kxzJET7yoxn5JbIdr66DfjNngJ6KEzHdQGA4d8LcyAtwwrCjtmty6Cu9TPzvmUcdJOnXxbZCaw0S+bEuTj2U7BeQPDFlNdpbPZFu6yEdxmFlKQHNWtwlS1cSETUHoqrX9Vqj8fmfPvv9b367sLBQLpdN0ySBKBCFyOVyr7322t/93d9dvnxZuQ576hJvizYQIgjtS3XnxNGPgVaHsB07yVeh8GKgJEiuaXUgjb2agdoqcYGhhPsjIqpXHG+cNghHVuREKm0VqnQujGgASbRt2yK6fPny3/9//4eU8vHjx+XKvmEYmUymVqv95j8+3t7dGRwampyZQnQ3ETPaTgnZ9Pp0o6Ko10blMEEO/YwKkRGlDnsI6U0Oe177FUDO30rne4QHK6XiLKajOo8MnSc6Zk6HnooTHcalnyOg7XHs38F0HXvoonaA335718EWV2lPm9DSKj0EOUqiMKF2JtDsQaKjQoi60U9735wPQxpnorhahWd1k9qxVWeQNMqjlNttqRkjtEju85b3Mk5u5CehFOFtUnVUSbTycumbr+589dVXGxsb6jkSEBGMkeHRa1ev3rr1xvWrVwYGBhq2lFI2PXGcypPhJZ9y8eIUiE5m9DQXsrALWHu43mFhJ4U0hPuD91E38kh5BzEhBJ8m10na/oMxv50ppHSOzYxm0SUQIKDXcWK31RyycEDWs3BEqelw5rodISJIQkCSJACla5GujRSzwYbBwcHrr7zy9rvv3L//w3fffbe2tkZg27LxfOEpGOKPn346NDQ0f/XKQLEgSWo2S5JIICIhBAZXnhTpFUPJXkXhZfQpR+VAF67VidHFd5M4TiFvFyLqbUtk+xV2sTVpaShQ4mLhraTvk+n78Nkl4YnrwCXTzI24izmX2eat47jbtvlw4nYVXd1JR3HDZ7qHbj3VmZ5AOSl4v9tYPeViOq1upS266sRUTXYqu6QfruSvfIfbCveQruFQDev1Kyey4/Y6KaVyHYpcS9eeGAZKKVdfrjy8/+Dbb7999NNP5co+mkjCkQVdunTpb//2b2/fvp3NZgkh0OsQ0XOeUdP1KgV+dBKyrdfjtsN5JwciQtSH4vC1wvmv/+DobkShA92conehgGYn7orklOxmOvP+FkLoCjWFlFII8eprr/2///v/ffPmTQKbLBsAhBDb29v/+q//+o//+I/rK6vNklGe7PXwSGAREHMoItVD+jkbnpuy5ORT6TSeQJgjwbnmnNhRUx0EMdijIm8xJ1MlpsPpET1R+nHmSXPjtQyM4rS8V9KoCVodH5vsa3D4OrS6zNnmcGdNs02c7yARZUZ5FSXUB9MEr9rzyYrVryWWn35bR6WdOS2S3WEgcXr6kgPT2wgoxNVQ34oA8HVHV0ih9ViSAO5QnBj5B0pP24EAYFvWvbv3//jJHxeePy2X9zPZvMgYiEa+UBgbHX7l+tVbt96Ym5szMlki1JUnymsGJSGiQARCle9MACKgxKbrjYCmKMWtU4zPTuTU1olXvqRX0sFBMqLAurryLvz9PJnwmZu+hNAepW/E0JJO+CYmsocErjBIsx9qXXTg5oj0lYyAUhARAQllfz47O/vuuz9/+vjJT48eriwt1+uWTVQulx/cu9/X13f79u3Bof6+gYFcJiMlSSkRhf9sJ0QEn0tR54QspfYjfGWO0xml74dtX9PSdPgj56zcTVrleJ+14k+95O22p9Bp9Xkjbuv8jHpYfBJi3/Nq+FicdOuFM1pE0QvHVL8C83t8C/RC52AYhmG6hjTakzZCA21sJRXqAx7EPKtpn6CJSALA3t7en/7w6a9//ev19fVcIY+mAQCSaGRk5I033njjjTcuXLjQP9jnrBv+Ri0IRVBREs6uxRwp4gifpg42pdbwJga+BocXSO4DnjI3ALqCONu2+/v75+fnb7/9zs9/9v7k9KztulNvbW399NNPf/jkky+++KJaLqP2FK7aJVDhjlS0KVo65U/g+flUgkQMwzAMA9AzeqIDCVh+HOb7Ty9CIAGi8k85cwGiI+vdQfft0cnQfn9Ifs09KkeVo4N7iE7c98/2ikrvMZG85CGu9giBz/6oiYcIgYCEyiClqSckEAokKVE51yAKAVLi8tLLb+58/eDBg9WVFVtK0zQBDRQiY2RmZ2Z+/v57r998o9BXBAAhQIIEEgCgUmG5NVCpraT3m7T8Wa4n1+k6TaRU+CZ8+j58nZPDiAd+k28v8phQpg9lMg0xSiJsMS0jumZD0teC6LkUCUKSBCJYrLN14Q6iFJTN5V577bVSqbS5ubm0tGTV60S2lNbG2vonn3ySy2Xm5y8ODQ1F2rKqv/UMaOl34XgIX3+Oyp0ked2W8DYU5yyTvj5MMpFnaHo5ahscVcl89I+Pgz84RXjSHVBO3Nyjf+s89Ytsx6C3P8VMj5vS03CciGEYhjlDyAT5Rkt+n+k2FMY3kchW/wI0H8oCSp8IbyAEKaU3UY3rkXbj+2+/+89f/8fz589tKQHABhKI2Wx2sH9wfn7+/Z+/d+nyvJRSSiDH9Fg5IEcMUIqxw+hAKUfcY9lh3tASXqHbi/IEOJJCUhGIuYRShmnp5zUizY+Ur3Vk4YhIQHERKDW9Xq+TxAsXL+YLhfv379+7e3d9fb1uWblcrlarfXPn63w++/77709OTheLxUwm4/XwQH2ICKG1UFevwm8sDMMwzKnRxTchqf05EEGEUU+Tse1DHfm4fVo4LysRrS2VacYZDGnHHX0R+sOECfYEAknB8/G4Wu/0+pu+R9w3kolrqzQ9JDDaP2U7pzlnRahikbX1QajSeEkAKQBd2Q761xUAQgIRgvpbvSRLEBKEGvJDEtbXN+/f/eHOnTtra2teIZZdHxzoe/ftt95+8/b4+LhA14qSAEkCSnCSiIHQ6ulpN7wIAiJpITaZHG47QVJWIOLOEjU3fNOP60JxTwit9qhAlSLrmaq1vbiJM36MPAkY+o9j8PLmzTrwiUfojtcIhOD1WADntz4FBHrLeKIk0zRGR0ffeuutX/7yl1NTE/VGVXm0V6vVxecvPv74488//9y2bXT9tvS9IyK1idMOEoWvP+HrQ6sjT+OOdVw5cdPjrlRxUzrhLD4rHHh+dIG4gPtDe4TvCOHnWEH+8zr8Juh//hQAopW3RT52x0F7HgJH5jxw1mE9UZP2sqQzDMMwHcIRXcPTq0WCi8UpMohIPT8KIXSdBQAo+6K1tbWH9x/cu3fv8aNHtpQiY6JKOwUwOTn5wQfv3b59K5s13U149XQ2qjKuI4FKggZu+AC1yEC6PepAko9Fq6PGjoOjeaDU1T2+6eDTEOl9TJlfef81UgxJ81b3Ajl6aUQ+VZEQAqQ2XlJKy7JtoDdu3rQb9eXlF8+fP5coEUU+n9/e3v7P//hNoVC4efNmIV9wDLe0+BQn0zmQI1VEMgxzZPA5yfQgPRUnCo//lABAsYlYJDS9TgTwNSKJBB+HhGXivvryqPtuwO8TdFyjr5mzT5rrQJoSkq8hrToihUuLuIK50R/nM6CrEiIVuNHWJ9+QNACVQwoBAaQwUZjixwcP/+1f/vXHhw9t2wZBiEREuUJ+eHDg8uVLr7z2yuz5WSNjkitmJRCAEiS56hMCkBFBoqh9O83cnSgBDACIOhbJ94hkEnpRZLHHcUVKcx9MQaLFmnSz1KmAjsogplYRCCBJu+Y2HYgCuNbqzXIiQ0VIziAxQERJKgOaJMtEMTs726hXb7z2xpMnT16urVYrdUKqVstPnjy6d/eH+z/cy2azQ0NDGWFI8jWyk/VMbavjQpfJvTG5zzSvAP6zrp1eEfXZ8rTcxLqJ8L0gmU5u886s1dkl/HHo4BbWT1GKmQ6+ZSTEe7kyx8NhRIKdfAU4IXp65xmGYRimPWJ1Q/5ZCfoOROdtsLS3/8N33//2t79dWloyMxk0DAAghL6+vqtXr7766qtz58/lCnkhRNBp2J/lymceHBMk6j3CY8GOnFN4lHICgpr8xBmn5h/5GNf9HLd1XZfkLznS38qLKBUKudnZ2Ztv3rr11u2RkRHbtgWgZVm7u7tPnjz505/+9PD+g3q9rq8e4dLVXRx+v7q1ZRjmLHDQZZwNR5jeo6f0ROG4oPpth6ZDaJkkOi+/0kkTn9FMabL0b9etfslnziLHG60Pn3F8Dp4F0h/r9FqPSJOayBLCV/72lSyud7UAf3Yzx8ZFKSYIAMAmGRxDpAWSDAOJYHV1/Yfv7967d29rc7NSrRqGIQwTBJJlD/YPvP/++++9915f30DzAVUorYcEAiEEkU0EiErO4AiZROLZcJpnCgnAuK/6rUZwko+4Pj153SMhsKGWr2zNfhI2pfb3sQNW97zNAQDAcFobIrRFkvQy9cCTr0zUNEfOBElSZrL5n/3sZ7ZVX1hYeP78uQBAFMI0Xr58+e///u8DAwOvvfF6IV+IrqGb9iy2OU6TZNVJ7NyjHSxGRD5RIj8XhUl9409+Rj3cVYjpJhKfDRJ7WtxM9P1ulu+ktHQhfoI9HVgxdADcNAzDMAxzNOhhIH3wiP4S7nsVB3r+9NkfP/nDTz/9VKlUiEgiAEAmkxkYGDh3bvbWrVvXr1/PZrOkvcw3c1Q5EStQjzvqxfLMmpucxQeSjna7DLhlBYZDpu8ngV4HAEorNH/56tvv/OzKlSujQ8OmaQJAJpPZ3d395ptvvvnmm6WlJVvacaZLTBhuomOGfYKZDoJCPxim0+gCPdHhY4HNdV0Jd3NK+KYdPp97+cbub43oL294wDJMdxJ1XhxNMpFwyawtOgskazbTKw1lzPJx34STVUXJ22qiRWR8c9WruBMAAqfnqfdx0tQfJKWSUDivzahWEfV6/fHjx3/4wx+ePn2u5EGIaNs0kM+/cu3q7du3Z2ZmsrmcJAkkQTRf891XSqdNEL1EKxKAIuqv1krc55Ml0kVIxBwv6V9Mv++nURK16kgS/t1qmUd5p/Oy2nuaoDQKI7ciKImU0g0IQIscEYIgpT3Shkm6zlbOf5VLEYBECQCCBBGRQCICAsMQo6Ojb91+Z2N17atvvl5b3TCzOUlUqdSePHnyye9+T0TXr18XgJJI34oECQep3k6DOF1hO3oTdajc8zS5X0Vv3V9CXH2Yw3A0zyRMN5KkKzy6+ymf0adLmmt+T9MFcSKGYRiGOR3CliKeE3B4upfpTAgBAKVy6cXC4sOHDx89erS7u5/L5YQwQAhEHBgYuHnz5ltvvTUyMgKeHAkAASn4taJz9SxHR9hktBdxDcsPXUiMv3V4SYjq4W5gFImg0Fd8863bOzs7zxZerK9tesu/WFj8/W9/NzIycvHiRbNQPGSde4e4hIkMwzAMc8J0QcCsVR2prhLvaMX4mQC1P62T3P58dLqHw/WQ1npCu9tiTheh/dGPuD5dJ9wr4npLuITwkun7WLMc9RYtgaT/1T08uEyfrn4IQAG4tLj863/7jx+++8GyJBggUZIwTDOby+XGRydu3377zTff7Bvo9zq0yj+FJLFpexSpeYm4JyKIjkyzImNSkkWScLuPmxU+yvqS4b4RLieuB6bZYprpGjE+qZ5grflfBEJA0gRr2PyjgwQCMHlAk2NQrcrUnNH1jQpojllTvRcFNaxaxsy9fvON9957b3Z2Np/PG24JL1+ufvrpn77//vv93T0CKcHWa+vtyAENcpqEr0hx15wkiGwi+zAjnuJbqZ37Y1eR+mZ/PM+oTLcSfbYSSAo+mcRwgOO1ABBun9R/M50Aj071wW3BMAzDMC3T0ltuWL5BREuLL7744osnT54QkWmaSmSUyWRmZmauXbsyPz8/NDKcyWSkDJphK86+m0nb72BtP7p0wzPPaR33sEuRbdtoGiPDI5cuz7/66quX5i9ksoaUFiKWy+Xnz58/fPjwwYMHG5tbQgjVvQN0dqjodAgc34MON8cyGIZhmGOhy8adJd8s43zsHePP6CTHABD0q2fCBD8Iq6C7m9Ekzu+pNX8Q5iyT4PKQcKC5D3Q3aTIKQei3vkwyySPP43yO0uLIBBAkCBFfTmCMj1Jb1Osqg/iznx78tLr6UgiBiCBQWjKbzb5+87Wfv//eyNioc08Sjl81oQAAJOGVjGgAyLiX7Y73JAr8aMkdRsQvE/6dvEwaN6s0JHvZpCgtxhBRV/e4IxB9huVqlncbPtC3yBu/pkRJ3kRts07qPimlm19PAAAiEBGI5ghKJFuS7Ovre++D90vlvc3Nzc2tnUJBoAGGIZ49ef7xxx9nctn33nvPqafaCqV3Jesc4uocfZTdo5bcG6NLQxQcQTtm0pybnfYEws4pJ0PY/w6gpTfBzrnpdt5DQMfDZ5kPbgiGYU6Xs/WqwJwhjr1rEabdhHQdrBFRoNjd3f3h+7s/3n+wublZq9UkgmEYhmFkMpmhoaEbN27cvHlzcHggrjR/AilxBoVF4SDRkZA8MO3MExc7aKMDNGNMiasqEZDvQ5po9j0V37Rtu1gs3rp1663b74yPj2ezWW+BxcXFP/zhjz8+eFipVNLvDtMKPEqCYRiGORa6Rk+U5lkz7ltfUEnkffGCZhA2vYFCbxJsHIyJwTO9CmcVYcK0pClo7yIckJ+ETY7SZrtANKDpPaTUPV7R/l1QCgJ/CAld0yL14r22tvbb3/7++++/J1tms1n1Um0YRrGvb2pq6sqVK1euXDEM3W9YeD/jnYmCdN6117nnalMij0sC7elQ4sqPKyc5I1V7ObDa0sSFlGjuZL0PCK046Tmdez0HmvnRJGh6NC/6o4eK1CmBjuKIvHVRmESkB0YNFFJKQrBtO5srzF+5vLq6euHi/PLycqlUqktAxJW11Vqj/rOfvbO+upKZO2cYhlCp/lQ5iOT158SY0Wl/FE8+UjKhG0dlKwv/jlC6pYj9pb12MVGcxVY6i3U+W6QZlXKm6LyHgI7nDB7l46QHmyPiKhAaDZ52RYZhGKaD6YjrdsCEWNr28ouXP3z3/cLCgiVt5UxECIZhzM7O3rhxfXZ21jCCRsJnUDQUx2k5qrTkVt5SsS1Nb2MTB+DrYEB46JeDyDFreg/0kvp5PzJmZnZ29q233rpx40Ymk2k0GkRUr9e3tzcfPnx4586dlZUVgRHaNwI6fBK3U6VDHqR729OaYRiGOWq6Rk+U5hujCBlSBEeAt/Igzt9tGIZhToyWLrYi3SW6OZeIAFQye20iAHg+a/qruO9GEdqQq7kgIiKhEogDAIIhBFZrla2NzefPny8uLm5tbalBOkII25IZM3f16uV33nlnbGyMVI4eRPQpXuP0OGeLsPgi2g/Cf8s+/ICylKrGwObi6qlPCa9+4FaOBPUMQ6CMsgAkCHBNjfTldG1RwC0L3KiQdMrR1nIjQQBAJNVWJBCCQUQgJBEBCSAgINumYn/fRx99tL+38+OPP25sbhGZmYxhmubjx48//vg3o+MT5+bOEYAMRLKkY8KkbRgCe3B6IdJkF5uASVas05brLZW8lQP7ScIjLoeHGObwnMX7KcMcI712SiTtbxd9rWUYhulxDry7tXD7Uy/M3n8THILDKzbXQkSEUqn03Xd3H/xwb29vz7ZtAABDCCFM0ywUCpcvX3719ddGRob0EtjG5WRJdtZP321O7tX9mJ5eIotVAamAtggAbNvu7++/cePGa6+9NjExUcjnPLXR4uLil19++fjx40q1cny17WT0MYPtchxSOIZhGIaJpWv0ROnx3US98fl+x4c0vgN8M+5N4r77sb6sl4n75nyY3EnMYVos5fnYlAMgIoCSZkR4qyE6GceQhJdMKuz/AhD0fEFBSnOBiCgIAHe2dj//02ffffed3bAcZyIUKMy+fHZyYuLCpYvz85dUVinStg6AAAFVUXf0qKQrqpKztBpwce/pFCpZQjNy52iQAwqyVmoI8dMDqxzHdcDZRCD6oII45CZEg1CI00N3LHJ0SaGl1IqOzkh1ZdW2gohIgClJEtqqZ9rSzmULfbN9Fy9dmp+f39jY2NrasiwLANbXN6V8+OTR4+UXizNzs/l83jVTigmAdlAcKaxV16ckDzmMc7Nqg4BS6QBvI6bHOPL+xjAMA8CXkhDcIAzDMIwPnywoUdwTyoqg5TInIqD11bUHDx4sLCzUrYYQggRKIgCYmpp65ZVrMzMzMbIDJ7qRIq5xFjlK6Y3b2qcYbDj9A+QN7BIo0tgVxQletHFnwUH63hT12xmkBjg9PfvOu+9ev35dCGFZFhFJKcvl8oMHD7744ov19XUEREAp5RkRyp36kK5TrwDDMAzTi5z+08wRkca9L7hMjJ5fhP7r/WGYuJ7APaSXibtK8NUjjvRX7JN3Zg3fKWw3pZEgDOYRRwpGjiTYEmzn/kICSABKYYDVkGurGwsLCy9evNjc3LRtmwShEERkmuaFCxdu3749Pj4euic1G0F7k4/rV5JA0tl4sZT+fHOBY63vXfJVV1/L+RETKhKhzfkgl/jaJk+JI7zd5D+tlqntggooEqn0YV6ESA8VqR6rejKSQHLaEAkEoPqjh4fUdGdd188ICVAQCkesJIRAREmWZVtDI8PvffDh62+8kc3lpJQAkM2ahmH89NNPn3zy6YsXy54EjxAkUPic6gzaOBwi6liHe2lcf47rY3rJycswvUmaqyXDMEzL8NUEoCdHyzMMwzA6B6kbDhV8QcByuXzvhx/u3r27t7cnpbSBCAEFAYAQ4tyFuZtv3pqYGIuvzIEDCs5EeChAoM6tmUbFRXbIcUY+4M4eWB0R42Q1x0zkgWs/QtqM8jgRIyeh2GHyoHnNEtdEQggism17cHDw1VdfvXbt2tDQUCaTUXOllE+fPv/qq68XFxcbViO8/ln24UrVac/s3jEMwzA9Sg/6E+kPXkE7xqhlOJTGMAxztJzMdTX5St50ZlE3gbh7AaIBoMbIyOSaO55EMjqrVLlU+ubr7+7evdeoNoxsBtxX63wuNzg4eO78+ctXrhTyWfW6HOPLE5pCjpkLAaCSaSTUr1MIe6zo0x0S36sFACgXp/B015EnuSVUCc3MdOnCQ3F52aLLPwgRE/tLDg8leZGgtowAQeTTVJGSEEWMnGx6bCVIezyXLmf8IxECShAqyIOIBLaUslAoFAvFixcvzs3NbW1tlctlCSSBNjY2Hj9+/OzZk5WV5YmxyWw2S7oNl1IqJe75qRJwm0p/9H0aN31K6o2myaB3FmPEDMMwTEfTu0GQFN92kn0KGYZhmDNPcoDAVZyg/t+4VXRNRCDTGQCU9is//fjj4x9/qlarzjgdKYUQY2Njr9y4Njs7m89n/eUFsy60umtniuDTiL6/RNG37EgFUHJDYQyHqPlhON5nMGUY1LaMKKFlwrM8Ky71Y2Ji4vbt2xcvXgQA27alDQBQq9UePnz4zTffbG9vCyHUWRAupPOkN737qMwwDMP0LF1z80szIjc8gjfgaxD2R/BmQdRvhmEY5pg4GXensANIuA7qxdV3B0E0osoBRFSuK85klCjItsiy5Nra2sLCwsrKaqPRUHIhkijQnJmZunnz5vT0NERoYZwtIhrR7YCBf88iMVY7vmDBEQYOwptrzyGoVfMsEfqTnnDdmr8psXXCwirh5ILTSkBJKON8gpz09igJpf+MACeLnyvLUr5FUkrLtsbHx995553Lly8LIZRltWGaBPDTw0dffXFnY2MjYW99Z9CJEucilNA3It2CDuNmFV4y+dlVn87eNAzDMMyRwXeUluAgEcMwTFcREAGF8zoBBM1ZAhMDpQWmGMKo1+tPnzz56ccfd3d3pbQtkgASBNq2bdv25PTUm2++OTs3rcpU1r/6231XK4lSPYQ4oQqtbakVwgUeqWKl0x8MfNK28Fxsof5xGiL9pJBS2rY9Njam4kSIBrgqvHq9/vDhwzt37mxvbxMRAnoHqPM0RGno9EPPMAzDMG3Tg/5EOuEn1Ogx/37SjE5nGIZh0hN24jjMldYzEkrpKiLdN+i4XFe+dZ3XYxIIQG7GegBA9caLEkDpj0AAIkCjXn/06NH9+/cr+yUSynjIQMRM1ij25aenp69cuTI6Oqq2hUhuOQDRQaKze/eJdYlKuX78oL/WyjmK0JveY8My5DDt9eewx1bQnyhqT0KD+Lx+7V/6oCBRc1tuCdI1djQcryISKgWalBIcfy4Cor6BwUuXCxcuXBodHS1VygQ2ANq2vbKy9tNPPy0tLTUaNWFmVPgvtT/UyRB2oUrhFOYQ2SvgKI772T3rGYZhmDNJT994Oum5hGEYpjc5vttQ9Ggm15HawdOqRKqKNJmDTHnLcAVBzXVt2/7xxx/v37+/W9pHbCYC7+/vn5ubm5ubGx0dFSh8tr6J7jBdT1hdEhATpVzrBNuwc6UlTbEPYGQgVFW9peT0YSVRYItCiGw2OzU1de3atfHxcU/bZVnW3t7ekydPHj16VC6XPYuiOOUXwzAMwzCnQtfEidKM/ZaBdwOICBXpXhVheAQ4wzDMkZPmippwhY/0FUpYRoZ+RENkax4uIMF2f0f7uai8ToiG8r1GRElIAKVS6dmzZ0+ePCmXy2gIApCEBGJ4ePjy5cuzs9OFQg4dyYYAEIQAIvLedNaJ81XxTW8vSJR6u0fVkt7TgqKlB4NW6xBQl7TzBILKz7rZrZrPM15xiaEiQapfIhI6VSIiQKlMuFCQV4hyF0LEycnx1167MTMzg4i2batjV6vVHj9+/OOPP5ZKJXIrpFok7EyU7L501CT7lCXbSyX7Ch0V3XEdYI6W47i+MQzDcLyDYRiG6UV8D9O6LCLshhNeXhFYRgjfLVUVYllyc3NzeXl5fX293miAJ52QNDY29vrrr09PT3vqjMPvVRegH4uAzMT7HSljCefP0gtxizryt/ez+hyVPg9aQDdkoGevHisFUi5Fk5OTb7311rlzs0QEqpMLUbcajx8/vnfvwe7urlo4IN87a9oifi1nGIZhupCz+nyTSFzGivAyreY3YRiGYY6PhM/1yc4vaXMJIUY6oURs11msmctJoP/VFQmE/01bj2IAgMr0tLa28ezpwubGdqVSsSzLmSsJAEZHR69fv6oynekluDUM38vOlpr16O+wcfEjd6Kd8F39cGPQwu3f6rGIy7OWct1UZZL2Jw5lBuQFiYhIgCHAyd+nVHKuVi6Y3cxbBQIxOzDUHyChzgsppZRybGL81ddfm52dNQwEkEAkDGg0Gk+fPn3w4MHe3h4CAQkEQ3j2XqSmdHI/j0xnpnP48zQy1VqC2p3pZQ5zXWIYhomFryYMwzBMB3LKtyfHpreF5YORCwS0bfv58+ePHj0qlUqGYaBwlhCIGdMcHR29cuXKxMREIMDULbR/BNuWk6QcoZaQCq3rCfSxyBRmkOIQhMvRI3FSSiIaHh6+evXq9PR0JpMBN0TVaDQWF5cePXq0vbnlDUZTK3reXmkqcEp4HtX8fZFhGIbpZroyTpQ8tpxhGIbpTAJvX0dyxY5TtSR7kSSVhgSY7h2WpFx6sfDop4fl0h4azen5fHZ8fHRqamJkZAS0V+7uihNB4p1XdybyLRM14u9AXVLEVrTG9OlitPLTPxtESkgi65NGrZysTkr9rBISDvkMiBJRSwpAJKcYhKZpo6uVC9a/KTUSqPtzoXCMighsbzoRGSIzNDQyMTE1PT2byxclERFJKSuV0sbGxsrKyvbmlmVZQgibSAIgEoAElKDs3gGAWvLXPjGO6nkyQfOuL9DSNYphGIZhjoBeu9Pw9x+GYRgmGr9LkZG8sE6k9oGAbNteXl5+8uTJ/v6+vmT/4MDly5dnZmZM0wzXoZ2qdwuHU5H4hg3GteSZbeFjeYBBRALlHhQIoh28Yvi/kXnQJicnr127Njo6qoJEnpv14sKzxcXnjXpdiOjUInSSHtYMwzAMw2h0TZzo4C/AURlD+JsMwzBMJ5OsIml19Efr13wS/rxm0U7JEJmUHbDRaCwvLy8uvShXK+6bsyDCgYGBS5cuTU/PGkYmqrBeGNWS3m+leb9OEcWIVOU47akdO+epQBtdmOapIH1vDG89WVsU/h05xV9CSD7kKoNSO1Q720BPH+cojPz+RN5eKCVd3B8gIdAEEiRRlYMAIGlyfOyVa1fHxke0sX6iVqstLCw8e/asXq+rLRmISELFZ7X97PxcTnHOU2lqm15xlmYt5rg42bx7DMMwHUFPRUn4zsowDMOkIjIkoQI9kVoVfYr3u1Qqra+vr62t1Wo1RAQ3jVp/f/+lS5cmJycjZRS9Q0RwzU9gmag8dLElpzQhOjteRcf4AOM5WzvtnnpkZaAQ728ppTpYRDQxMfHKK6+Mj497Wc+EEPV6/dmzZ8+ePavUyuA/BaTf7euMHB2GYRiG6SqCivczS9zzU5zVhdSm9FSwjGEYpmNp9WocXj7uXiAS5+p3hCbxzihqSQosiYBEhAQC0ZJQqlZWVlb29vYajQaiN45NSEkDAwMX5y9NTU1gG6/jHUp0G/rn6ggAQJT+7/QRqzuBixasvtUCwWKViTKRrYJ9eq3UrIOKDVQv/Fvfx/QxHb3dwm3Yjl2X2nMM/U5YXo3wQkAJFOiShCpUh145agHCYNiOwEYBJFHNBQRL2jbJ8cmJ6zdeGR8dA6XekoRI1Wr12bNnT58+rdVq7k5KQoHNPW3tbD0pwkcnum/7CR/lNOUznUKPBvIZhult+IbEMAzDdA1e9P+wd7f2ND4qqCGEIKK1tbWFhYVSqSSE8KQWau7AwMD58+fHx8eFcEIYLJoIoDvdgGZ/EzouPk+iyKJ0aVJkO3sHCGJ0ZGcUCv2IWYz0H4HwaHLP1Nvca0ZveeVGNDo6Oj8/PzY2pnq7Wqter79YXF5YeLG3twdaesFuav9jgz0TGIZhmGOna/RErZLmmyffhk+TNF9BGYbpXtIog+Ku0iIqO1XK8vVSNBkLCdDcbYjI2zqRMmJx5BXOmzPRxvr64vMXpb2yI7sgAYDZjNHX1zc8MtI/MNBcvRtIvmNGKymIktymPe2PHjPSmgvdG4V3IOyEmrjxJjVXHSndqly6iwXWk6mlx8kLJPfn5CX11ovRvgGAX0NEUQtA1F1V9XM9PETYrAOGInEBe2ntoEgAQoFAkqg5DM0wc0MjY2MT48OjI9vb2xIIQFg27ZXKGxsbq6ur+6X9XC5nmibYqqqEiEBCYEKE63RVRWECOqOwzxSku6bFHf3O2VMGwH9+8ZMqwzBdCd94GIZhmG7iyF6rfBEcLX4Q6Zzi5XKS0nnTW1tbe/78+f7+vq6CyWazExMT42NjxULh8DVkWqcpaUm9Svi1v+OI865O6Wmd3BqB/GXh5b3/eoohfZYAKObzY2NjMzMzxWJRnSZE1Gg0dnb3FxcXV1ZWLMtCCJpPKS+jFNVnGIZhGOaI6Ro9Udy3mjSjwdOMLWdOGv4+wzBMFO25wIQ54DrfDAA5Ig3d1wYAJUmVRxwQEaRKD9V80SWAtbW1Z8+e7e/vCyG8YFIhV5yZmp0YGzUMPffWgfXpNPWEIlmBG/YJCi2BKo9QnALIcH/ERShUg0u1JFHzju9OCeZ69x1EH/FpxSIILJB+3XCLhY9seHqaft5cPnz3DB4JSrjF+mqIgBDSuxHKUAECEQENIkIQCAAoEZFsKYRAAAPF5PjE5UvzW5s7+3tlRCIpAaBcLi8sLKwsL09NTIh8IbCf5FRddKqLV4KeMUCrT6HRc13VmJ6ELo2+kjl6+BmVYZiuh28qDMMwDOMjciyYNrgGgCJkKbq2yLbt9fX1hcXF/VLJ0yJJokKhMDc3NzExYSDff4+EiHfso84fJ1qPTnZoftVW24VCYb40wyS9EYIqdRoASCmnJiYvX748MDCgZHhKeVSpVBYWFpaXl23bDm+LOQgR+sEwDMMwR0PX6IlazXcGKaYzDMMwJ0myJjS9tiJcZrJ2I3otQqH9BgAA120XQDhyB2y+OTuqBzQAsV6rbW5urq+vV6tVFAgoJSASFPqKc+fPTU5PCdPQigrUNkzn36fCbZv82p98XNwiXGeiNDVwFzMOWM5fuH/dMLp2I0x6F6323IsCdUhYN3oZ3bdIE2UllhddK8dwXf1Wg9B8yc6IiIQyjXKjQ+CFiQDk5PTE5cuXhoYHACWRICJhGLVa7fmzxReLy3XLch2NwADHl0ipwY466neEtKriaUmzFrm8gFhnnM6/RJxJ2IeIYZiehe8rCXTo90CGYRimLdLe8hwL3tj3gthylIzCtmlzc3N7e3t/f9+y62oMjhp7VigWz507NzU1FXZyYVrCNYdqsxlPxD68jbrpCpGO6yHOeZG65VQjK0OisbGx+fn5oaEhvbRqtfrixYvl5WWrXhfaJvTVNTquQY6TntpZhmEYpuPoGj1RHMnfn+O+UXN2idOBv9swTG+T/qrbqqePiFklTnMq1OsqArrvqsqBxQlPBNKoeymfhBDSpu3t7eXl5VKpJNDNhQYAKIlkoZibmZsen5gyzGy3ZDprjzSqrmjcdgvmO3PRnHq0/Ghx1sv+teJqGCw5XivkTQ/0t6NVDOnqEuVJFF03fSeTs4gKV3VEAAQkAYQq3+u/BOC1GwGAdDP7OcI6lTYNCIUQtrSJCBAJCCUJIcbGxi5enB8cHPS2iIi1Wu3l8vLy0lK9WlNFIaJEUEFVhOYAT/ekC6cy7CiSjtRh3DAptCQ/I50M3M4Mw/QsHAoJwBoihmGYruRQ9zsnI3j8MCghhJcTanNzc2FhYW9vz0kTRYCIpjDy2dzAwMDY2FixmI/cClEw5RMTpqWBSIGI3glyVp+vVHupIFEzSuT+DIiJwq3qOROBX09UKPRNTEwMDQ0ZpgnKShvRsqzt7e2tra3NzU3bUso7AADJb+cHw8+rDMMwzDHSNXoi/VtN8tebuG+AHf6RqifgJ0OGYeKJU32GPYaTNaHB6Qk6C2oaEvlqIqX0snEBgATykngLxK3NzWdPF3Z39tVcRJRE2VxuYGBgZGSkWCyClsMJ0ZEsuQEN4yBVQkchD2rtA1dPWFeq4WWIkYOwPFWX9AuLIlKzp6hJuLXj6pZGGZTeZ0rfVtySSW2LEcvE5I8LTYnq+cK3Pnr1kwIA0dDcpoX6i4gcqZFSIqEEIJACCIBs1JIA5gr5weHRkbGJra0t2bActReJ/f395eXlCxfOjYyMoQEqkyAAAiKgRBRA5IafOiqKGm7n5ClJbmjJpD/KDMMwDHMkdOVtpu1R/aIzHQEYhmGYdBzlBVwPEgUse3W5BPhFFoi4sbHx7Nmz7e1tNUUCEZFpmhMTE1MTk7lcDrUyWT+UTGSUx5NuHc8Hnp5/DKDAv9H/TQKlsuXSp5mmOT4+Pj09nc/nvfGbBFQul1++fLm5uSmlBHAGnWkb9f7PH/MYhmEY5oTosochEfNHId0vnwl7zXEihmGYTiPuyqxf1XUDYG9uYEp0OZgoZkQkQAkgiWx9rId6p/UiRHqoaHNz8+nTp7u7u4TKoUWQxHw+PzMzMzU1lTGaSl4im0jJYShyYBSRTWR38L3pkLVK2i8CAWiElyHfr/C93rdku1G4hO9G4enhEUDhZdKXllzyURLb813jIRWjcb2KBAGRfwUkieTUUI8KSQBCJARCAIEgEAAE4OT46Pm5mf5C0UlmRgQgq9Xq8vLy+vpmurGB4ee6yFbqwKBS+qOZ/DTLMAzDMMcO33UYhmGY7iDwKnWY8VAAzffe6BKaCcuk7+XWsqzNzc2XL1+WyntaIZDL5Wampqenp7PZbNRW2G0kmkg9kavjOtmqnDIn3UMoarBTGrxDFj5246Nj52bn+opFcH2LAKBSqSwvL29sbNi2HTE4rhlR6g74NGcYhmHOAF3jT6Q4TD4RhmEYppNJ6RQjopRE0RyUY1EgqldZodyI1Eg0x5lIEhBIQBQCyEZESRIASqXS7u7u1vZGpVLJZrPkJmzK5/Nz589NTU0ZhqFvQo2+0TNz6eguSN1FXO6wJoFcXXFBIW+W7rYTbsrD5dMM1zDOG0ufG+ecmEycB02yN83B7Rle3s2VFi5B/fKlkyNyxER+Q2vhZT2TmtrIQCQSRERgu8EiiUgT46PnZueURRe4Pb9SqaysrG1ubtu2M9JTRB9v0cqh6+RHvgNDRXF5GBmGYRjmhODbD8MwDNOVHMkNLrYQRASBiOgMQENExGqturGxsbOz02g0lAOLWliSlc1mp6enp6amTJXvyR8V6jrRxDESzvWecuETpFXNyBl4GNPFQXhgu7rhUSChokdSSkQcGxubnZsuFApemYhYq9Vevny5sbGhTqWIwvi8YBiGYZiTpcv0RMl0bL4YhmEYJkB6fURgrkx/nW89iCDA9bGW3uAnIQhsQgkEe3t7S0tL+/v7jkTIsfIlAMjn81NTMxMTE0II/X24+fqNTtq0lvK+nyqt3k/Tq2MUzSMbaBFs/tBa0penK0grbRqnHtLnxk1Pk+kssj+L1qNLceWnVS35dVipzxqCyAAdktCs3W1E0IzgHd3cyOjo1PR0Lp8HJVAiUnGi1ZX1ra0tJ1oKNiKSOjUorNsK7sXZob18Z6wtYhiGYU4BvuUwDMMwXcMRe3/EjAVDT/5DAIASAAQKIcTe3t7y8vLu7q5eghBQKBQGBwcHB/tzuZwQIlSsBNAkGMwZ5rCuWF0CiUB/ViGhgaHB0fEJpSdCRCGEEKJer29tbW1v7dbr1ilVl2EYhmEYHz2lJ0oezx+G9UcMwzBnhbiER0nXcN3RJmKuJofwT9fGiKEz6AxAGAj7u6XlpZXd3V0iQnQWM0V2cGBweHhY2bJoVkRNtZGj7zjGXO+dgNqv9I5LAuJ9hUhb5qj1V8kqtjhnovT+QXF9MpxGLU1prRJcF2PnptB5keNbRESIEoAAAUioTq5HVCUhotGXz48Oj2SzeQBB5Jw7tm3v7+3t7e1VKhUCEGgCAIEN4JxfbWetO1Ok95ZiGIZhmGOHb0UMwzAME0Fg/FeCSYo7XsYZd7azs6NenqWUUkphGqOjo2NjYyrT2dkZVnbmodOJMKQ0XE/mzMQKVX/W/3aCO3ooSptbLBYHBwcz2awhMmqulNKyrHK5vLO7a1kyzqWIYRiGYZgTo8viRCLxD8MwDHNW0K/bcdfw5Kv9wVd+9MQUBFF5x1WaMwEgiGxvbjh+5OZ+gr39/aWXyzu7u5JUicKSYJqmEycynRdjQpU0Sq9weOtS+9PdJO0jan/STA8v44sWtRA6Eq5n0IHtn9zT2jt8yU8vh3iqIREWajVngqD4kgUgktd7AdyerM4I5zd5qdDcHSdB0tPQiUw2Pzg4ODQ0ZGYzzsBNAgKo1WpbWzv7+/sAgKIp2VNWXzE16o5zpLWrFsMwDMOcAHw3YhiGYXqe+GBD+B01ICxytBIAALC9t7u0tLS7u6tGzahZpmmOj49PTUxns/kYURLfi0+Qo5FztXrIkl2uzwwHquG8BQI6I2+6aZrDw8Ojo6PZbFa6kSBw4kRb+/v7kecIpzxjGIZhmJOkx59Nk7/b8FcdhmGY7uEgKUnsNT/y3VhXVXgLlPf219bWSqUSAAghUJIgyGQyY2MjY2Mjpun6tjiai5Q6iK65E53OXdWnOfKEMEdQsJ5iT0ZpW/TfImqiN+UEwcC/wZkxcaBmtZEERnmua0oi/3REAJBAiAggBdLQ0JCKEzkDNhEQsV6vb29vl0olIjVBpQx0ylTrhlq4uzXjZ10nxTAMw5xhuvLOyjAMwzBpOYyLjfs6iwBQr1vlcrlUKtXrdV3+kDUzatyZkTFjZBEJb4N8mz56OkCa0s3v/06Eh0gPsCKiiqsi4sDAwPDwsGma+vKNRmNvb69SqQXWghQiJoZhGIZhjpaeynfGMAzD9C5x75rh6XE5tpoTEcFN5ISIIJAASqVSqVRqNGpSSjUdBZFtGwYODw8Pj46YpolIEqSrRBIAGJU5C9y5XYbaOwzt2knsqZ7brpWoQ/q6hfOg6bNk/DKncaATU/1F9X+hzVUDLZ2cfWqulsVPrSZRkE1IAsGWzvpEACCE6O/vHxwczGQcuy5EJJT1en1vb79crTkTqRlaAiIi6r1gUfddARiGYZgzA9+EGIZhGKYF9FdiTzRRq9e2trYqlQpoegoAkFIKIYaGhkZGRkzTlEDstNLdapoQ3fagJfCAQBuR08kNQEQUQgRkQX19fYODg0pP5E1UeqJqtRqpIWJJEcMwDMOcJKwnYhiGYRgfjohBn+J4rACAY5giAJWRigAEgHq1trO9XSmXQffclTaSNE2zv7+/v7/fMAyQpIQSWtkCnNiT7a9FMLl4t3A6e3ScYQZxiN+nhN7FQ00T7v/gTJEIACBcOZ1/LS1+qtKiAYAgT3fkiuiEKBbz/f39RjZDCIAIgpCw0Wjs7+/XKmVnWxgsHMBoeTc7nAOFiwzDMAxzSnCciGEYhmEOS7Va9Vx4hXBCPwJRCJHJZIrFYi6XI2f4jAS/PsIVUBg9JrRhzhLk/o0A0Ix1Ylgf55m1U2giOHGiYl9fn2maXsgMES27vr+/X6vVWHDHMAzDMKcOx4kYhmEYJgL/B34BAOi+wQpAlb/Je6et1Wo7OzuVSkUbkmYDGhnTzOfzuVwOABBRSokoogbRhP1rOkB1wnQ3KTQs/piN2ydRn9JcRHVsNRiTiBAkABE6TvHegLJ8Pl8s5g3DAEQAEGAQkmVZ5XLZixNFpk7rNlhDxDAMw3Qq/BjKMAzDMC1ARNJ9Nw64q6g4kQciFgqFYrGYzWa95dlphek1/H1e5vP5YrHo+BO54zQty6pUKrVaDQAodH4xDMMwDHOSsJ6IYRiGYdrEe4+t1+t7e3uVck1KAACSyobIyBf6+vr6DMOxVgkkC9cIK4lOU1WUmA6L6QkiXYpSdgklISKUAARSIiKC8IKnuVyuWCx6J4UQgohs265UKvV6HQAQEIA8/ZGr0WOdHcMwDMOcEHy7ZRiGYZgWIFR5wFEfd9Zo2Hu7pWq16kWCSCIi9vX1DQwMeK/EahV2YGHOIq3HDR2jLmd1NRgNMZfL5fN5pScCd65t29VqtdFoeAs3t8uqIoZhGIY5WThOxDAMwzAtEJm3u9FolCrlWqOOIAEloCSwEbFYLPb1DRhGRi1GZKPfecUtRwJIAAEg/L9PBwwHBSgqAxbT7aD2JwoZab5OKAjVgDKhbN0JnRRmKk6ULeRV8FSiMxrTtu16vW5Zlq8c7nQMwzAMcxrwuDOGYRiGaQGlBiL/IDLPXcVx4VUGvULkcrnAuDMi8l66z5JQ4vRqSjwCrvNwNXEJYRwBYIN3mnhdXWAmk8lms17nlwiCQNrQaNQtyzpLJwXDMAzDdCkcJzplWvCAOGq7iISxD/yUxigiEx6fSk2YTqMjLiCpr4rHIUkIOA0pf6JarWZLSURSSiklgCgU+orFfqUnIiIQhtRkQs1BamqEjjP59D2Jwr/DHNjwoR6iImjBLR6I12L6Fn0519OV0+Mc/ixwlW/U/A8IcA+0l+wMEAAkAYEzxenPREQCETGbzRZz+axhmiicU4CElLJerTVqddu2MxnDV3N3GW27Z9urqO1zqnfoiFsM09nwM2pvkvL6GXkBIVT+d63Rs73KZJeE04WSH8M11EiFIzxa7JHBJMM9hEmgE7pH+qsiHdFNHt3XYCIS6HtHrdfr+/ulcrkspbRtWwhhWRYRKcveTMaJE4V9rB11Uup7wfGh1yHid8QKsUXF2DAR+B/d4koOxACag4+08rx1kXhoUioOfxY4CqKYEz8w3XMj8qbrIrtcLmcYBhEhIEoid9xZw6rZtg3aeUFEApCI/Od7WM3UAadQato4p3qNTrjFMJ0M95CeJc31M7Z7JOqTY78/9GpHYz0RwzAM00NgKPaBMU8Akc8iiL5vUc2xM1I2Gg0pJfgjQRkzl83lPBWNAFSPKYGAUVwdTotwffR2O7C2KR/fw2Wq34GnNBFfH6ZVkIKdP9z+cb9Tlt9cV3fykoSIBiKBNAyhRmISkXDVRhIcFZ7eeZCa3379dQg/yZ+lDsG9l2EY5vjQP1H4plN0mCj87MFXaeA4EcMwDMNEol6hvb99sxDVa6lUOb+d8TXOK64A5/VYCGFmRCaTUVa+nsJCFaKP1mHiSH5WazWKwUAoNpQe51trYo9F92/XxxpAxYPcUWnqvBBC6HnQ1O9wnIhhGIZhmFOB40SnTPqnNH4OZhiG0WlV45A8JW5FtaRPhUHKUcj9j/uKa1mWlE7uJxUYAgDTNE3TROGEhAgBENDRUMiOChLFtYk+/Ti+sB2mfL4zpieundP8VsS5AQXWagah3JFi6Cb5c7KeqXPKDQ+BO0ZAGXv5RiaGxmkyDMMwvcxxP4cwHhwnYhiGYZhY1EvvgfEI6dJ08wVARMMwMqbQJzJMz4KAKtzkDQrQw0BSSmmD8icKzGIYhmEY5iThOBHDMAzTE8SNUUqpSUFyvXV9BkUggQQgAVgkbSBbSiL0LKszmUwmkzGwmRaqaeurR44EQvwXrfZGCZ0iMRGx1rJThY9LsuKJtUXpac97KLooIqCmjIhAsz8PWUuTGpFmCjBMwzD0oWeensjzsXb0dwfV8wydFwzDMMypk/7posc5qylFGYZhGOYkaSbY8j9hhHOsevEgsqWBwnsf9jQURKRGogXKYQFFezijmZiOwWeV7TfkAgCwQY3QjJilnT7OMr2bkphhGIZhTg2Tn0p7k7gx/7pfAMPEwZ2E0dGvJ74MR50Gen+FJ0cQ/ryEwvPibU5DACIwhMgIw3CDSCRR2k3XFSJnKI1jaA2EhIAIIAEEESGpAWsi+sqcXNFjJzZXbEu02jfc5SQAkDNYCcA9LkfRGEezX2dl6+F20w8FxiyTjARyHhr84RynNHW83OuDEEIASoBGw7JqdduWRM5Th76MSoWmjK6d+jhbiGkxN+Vg9NxToHNq0oXwYyoTxruAcPfoXqT2++Cra9x7rvsMFoJ7TRQ87qxH4csok4a4YOLJ14TpNHw53WN+dwehoTMR+4iospsZAADkPIWQlrzJ8yci0J9dpFdglzXbCe/P0UWOmNZAJ7Vf7AL+Dg8AgASWZTUaDfUcr7/dISIK8pIDHm/Vmc4mrgNwx2A8AgNXuW8wHtwZjgSOEzEMwzBdRmvfneLAZjlCf+LQXYoQCBHVoBklhVBzpbSU44prb+2sSGADIIKhiZLUVgztd+coEU5fceMoidQEio4GxSpNDkBfXqZYJj1p6tNqyXqZ6WvbXCus93F/S+23CKyliIvERR0N/xYDqjwEV19HticBcFMKOou4QdUWw6fH10vDLR/dSsdfE4ZhIuCgQA/A19VTgBudYRiGaZ/eeD6Ley13cPVEiIiAEmRTA698eZuORS4AoOyuT6D2p8Lx7VovdLjuIM7O3LIs27allDaR7h7qiYpSFHLqyNAPhmFOh069SjDM2Yb1RAzDMEz7dMDzWbJ6qFVtUdq3PlJqF0mGYQABIhqGoYbMKJQS3rZtL06k6kAEEgkBkABRHBT3OHlFT3iLaTQUR4+rJNK26FmJN5dRv0Wc1Cg1R7tHyf0weZlkxVBy/0yzVrj8E1LEOCnMiKSUZNlezFRFV1GgQBRC6CcRRESij0Yt2AoHHk15uJqczvnFMAxzFuiEq2In1OEU6LkdZhiGYXqVY/zyLwTkMllTGKDFzojIsiy7YTkDz/ySIiJUJtbHV6u2EDG/O5ROa752kaHfZ1uoEujY+n9t2240GuqkCGRGE0KIMyNRFGfiBGEYhmGYNugRPdHJf31iGIZh0pDm+pz+hTmhNO/dO81dIKymCX1NkmrsmA2AgMI0zWw2q1I1qVdfJBAEZDfqjarKdybBVU8oED0RjGt3DdHbOulvWYFQUUwLHDNuM6XTWbQTW0guM40CKM1arS7fdMWK2npkDz+wbyf3pcMe2aaWiwAwWI4EAuXs7gy3tG2rbtu2JBuQnKRmROiKifS8eBJIjeJEQH/J4VDacffMo3UjYm8jptdIc53pUdUGAwAH3XNP62of/oTTQ/2zh3aVYRiG6RmO9wUsLAISQuTymUwm49kPqRfder1er9dt2w6srmuOtOlnRUnBHC3yrKuHAkSq5BARQCqRXb1eR0mBuYZh6IM39fOoA+AHZoZhGKaH6AI9UZovfnx3ZxiG6TQSlBQpSa/vEKmXj9yK9Ot9ANz0TN6brmmaxXwhmzGQAAlAotpco25XK3U17Kz5xisJBRLaiAIBvZy+7mA0CGyrMzjNO6mbbyvYQ/BQtTrafGTJa4W/T6b/OpryK2vKYVBH/4yE/phOIEjkdmznGBJRo9FQ486a+c4QhRCmaXp6IqdA0raRal+OlYCAK7kOXRX4YxiGOWbOlkfb0eZI7VC6YGfSuEUyDMMwTNv4bjTea7DnOgQApmnm8/lMJgNeSm90Xok9PZGX9QwEgmi+DDtGLRRpxXyKOen5ZtohdIMPjp7IrNFo1CpV27aVpEhNF0JkMhnTjP5+qUvwzjJ8TjEMwzBngy7QE0G8kUTkAgzDMEwnkJzvKTz9qLYSLjPOuTlo+KKcVpTih4BAIBICCUCZMUWhkMtkDEJQf1ScqFarVatV224Q2QDSVv5EhGADCs2rKLjvEsDQqnSSr5dx2ZdOy+lPQlM31PlfGlvNR5ZyjyIXOLnWSCNuIwQCEuBLbB+O76jgaa1eUeFRRCJ1MglhmqZy+Opg4tydIHQgIq9jkYokhukF2lM7MszJ94rwM2H4yt8TfbX7drL79ohhGIY5LZzXOUTf62vTXch9IzZNs6+vL5fLAYB0x+AQUbVWLpVKjUYDdD0RgMRA7rPukEswrZJGK3SWHmzivLf0BarVarVatW1bjyghoucE32Gk1Na1FPrpBo0YwzAM08V0h54ogIj/vMMwDMN0FGlerk4mt8UBW0Q0QAV6nHXU4DIClACQzWYH+vpyuZxSUzjuRUTlcnl/f1/FiZrlSkIEKUC44aQ0FTgp0nwxO0ldz1lREimSc5Al70sax672vmcee+upbk9Ealtuj25uUfcnqtVq1YrP3F1KqTIGmqbphVO9wZveJkKbPRmNW7LyUX/mDNenR79CMwzDtEV6pflJ0qPX7W7d7W7dL4ZhmJ4jPG7ltGriZez2zFaISAIBUSaTGRgYyOfzIB1xkKMnqlZLpZJtWQAQ0A0RkfSJjERAVcQKo7PMMaXU6OjxSpG5yURo1Fq9Xld6Ij0GZBiG5/B11ggPzGQYhmGYs01X6okUHCpiGIbpZCLVEwdcunWtwfHUKrECBIhIQAAghLBtGwCJkEhmMpnBwf58Pg/++E65XC7v71uWBXryJgBwxrIJV58UtspW7XNaw3DidBCn9TJ8Ru/pkcOL4vYl7HoTZ0uURpd0lBoWN99cMiotYLNuSK7sjpqZAYmoWqlXKlWlJ0JnojBEJpfLZTIZ79T24q3gyu5CZ/3J98mElhQH1eeM9mGGYZhT5HQdEnsabmiGYRjmVEh7AwqYmOiJk04FBAQt2RkRSSmz2azSE0loqiRs266Ua+VyudFogF9J5KT9lqS8sd09ku7LNsMEOAOONuFzM3yqSinL5XKpVLJtW4imhs4wjFwul8tkI0vTcwsyDMMwDHPcdJmeqBNGMDIMwzApEcf/jSguY1dkZSDkPOKfor3zes4pRIQAmUymf3A4n88jIpHtLVCv1crlcr1mWZZFRASyaYltSzAMIiKBQMrTN04D0gn3teN6UQ9HxQ7UrQCA3wmoVacenZP0tQnXIXnrafQp4dLS7FFcVrvkZSBmSR+IqHRwSkVERCAQbPUbpYRSpby7v2fbtn7sTNPM57Nq3BkGe4VUozxjusZpnR0tdTyGYRimbfhiewpwozMMwzBMCzTffr0pRLlcbmBgIF8s6BIJlQK8Wq1WKpVaraY0EWFfXj0PmhDi1AVTZwqWmXTog5zXqwl9fR4RS6XSzs62Mnf3urppmsViUTnBgz9vWgfD3Y9hGIbpTrpMTxQH64wYhmE6k7Any/GVH95KO2bDSEG1AxFlMpn+wb5CIedGeSSRIKCGZdVqtVKpVKlUcvm8IbIAgLouggRg04elY96NW9WkpCHacUkPiVEq3crhlVa6RqbznxAO3F/R7rmTdq1A2DJG2BOsW6Azqx5u2/b+/v7e3l6j0XBTpAEiZjKZvr4BFSdyV5Nub+lko2iZ4nfcKp3c6xiGYZiehm9RDMMwDHMAurpBF/t4CcwM0ywUCp4RryumQCmhUbfL+/t7e3tSSiGc2y65qwMAkPAGo3VMnCgMPzAw7YAEIH29em9vb3d3T1q2Hht1HL6KBWct7NgT4ZB0ZrSLYRiGYXx0mZ4oLlcIP90yDMN0B+1pWJIVGWk8YoLp6hEMAAK03WVENpstFAr5bC5jmCrJvY0kESzL2t3d3dvbGxoeVmojIgAiRJTo6CUIAUCALxSlao4t7u+xEqlbORo9jptR6+T39HTbNs4nKO55JuzNFC4NQstDaHqre+0r7eBRkQRejrNA6FNKWSqVXD2RASSACBBUxsBisRiIw2rnQmcSPi7JZ0SHnMsMwzAMkwTfrhiGYZgu5mhuc158R73z6q+yUkrPWqhQKAwPD+fz+WZGM0Tbtvf3ynu7JSmlgQLct18bmjZG+lb0KWfEpYU5FTo5euJAREiga4Msy9rb29vZ2bEsSwhhGIbq89lsdnBwsFAogD+/4cnXmWEYhmGYLtMTMQzDMGeOAzUR4ektZUkToR+pcBUu0TiDyyQhuRbUiH3F4tjIyMba2nZ931vStu2dnZ3t7W3LkkIASpQCJarKIBEJIYjkmX0lPqJI3JGUcjAnmUUufa49CC2Zpm7HXf923LtU/QkI0JHJkZvaXp0llUqlXC5XKmUEKYQAAiAbQORzuaGR4b6+PkCpmVh1ciys1eyE6TVHDMMwDHPK8C2KYRiGOUUO8x540u+QiLrWwRE7IKLnOtTX1zc+Pl4sFj2RkdITbW9vb29vKwFFuNiwYsiLGXHuM+bMEejPShOn4qq2be/u7lbLFdu2iUiZEKmRZblcZmxsrK+v75RqzTAMwzBMky7TE8X5Jig4KMYwDNNRBPL+hPNPJUeC4tRGab7np5kejdJHIBJJCQLVyBoAIKJisTgxMaHedW2SBhEiWpbc3t7e3NxUicDBfTH2vKsDOEPP1FY64s4V1z6t1S1NuEsPMKQLj50VXUarNYzzKorzLTqOOgRJVtjF4dm6Symr5crOzk6tVlPuRYTO30CQz+eHhob6+vqECsY6Z0cn64naI01OtM7vzwzDMEyXw7cihmEY5lRIeEfq3HuTrpXw9ESe5Kevr298fLTQ10dk63qira2tjY0NFSfSNBS+cnoBdlrqKfRTAxGJcGdnb311rV6vCxe1gGFgPp8dGhoqFHKnWmWGYRiGYQC6Tk8UJr0vAMMwDHO6xGVxCi+T3qvoKLNxKRdrRz3kqIrQixxJooGBgZmZmf6BIgAQ2QBSCLDtxubm5vr6eqPRUG/OBiEQSH90CBGBOidmFG635Dvpwe1MoR/hXT3OnT955dFhNERH9dxylPurjs5BqiIBQK4nEVBzBQPA2tnZWVvbqNVqiIhASILINk1RzBcGBgaKxbyzljtU7Qgrf+LEZVoMX7tEzFyGYRiGOTW6Pk6k6NxP0wzDML1KZJL1A2e1zVEWqJKQ6doi9XtgcHB6bnpoaAAEkdXUE21ubm5sbNTrdWdJlAhOmifUS+igONFxwZKio8WTrZ12RYJ4ufzQG0pJtL2zt7q6Wq1WldJISokI2Wx2fHR0aGgon22KiXQhEkCEh9fZJHAV4qdThmEYpkPpkTgRwzAM04F48aD0Sorw3PbWOhgM/VYKIAEIAATkiYkIwSYJRENDQ+fOnRsaGgLtBd4iuVva39nZ29/fr9frRIQIBHZ4O77BaBDtXnQaHJWqqDn9+L2HWl23E3yO0mYT8xQoXvTEr7455X1BVO5DANLTFQECENHm5ubyy5eVSsUbkUaEuVxufHx0ZHTIMJw+71lcAwiVExAAO09r06rfWWT9ReJ/GYZhGOZ04BsSwzAM08Uc120uoOBQI2UGBwdnZ88ND48ahgEgPfveWq22t7e3vbm1v78vpXSznkW8N3aLboI5DoIdJiC66XCIaGNjY3l52Y0TOUKhQq44NTU1MjICInp3zsTepYP1RAzDMMzZgPVEDMMwzCkS+aYkD/LsaOlL/oG2R9Fva2EfFgFIRBLJm6pkD+76QghzcGhkaHh4aHBQ2jY48SOUEuqV6sba2ubm5vT0tMgJKSURIUqI0Q2d9ptxSjVEYHrye6+Eg3VSyVsRod8hnMMWrYHyH9P2cqTGLdNSflUZv27ctsKFSwBwQyjkn3XKIIHnwIVu5BMR1zc3FpdelEolIQSBjYhkQz6fn5qaGRsbE0KoZZWASBtx1mlKIp04H6JIRNQynJmXYRiG6Tj4hsQwDMN0DimHzJxaTrRAnjLhTpHSednL5/Ojw2OTk5OFQkFKqaYjYr1eX11dXV/d8PREAqRXmj6A6CR3pwvBQIytA0MMh4+4nQHCPdmS9tbWhuZP5KQLLBaLMzMzoyPjQoDXCNrqsltOijN/TBmGYZjeoev1RK19PWYYhmFOD++KneDZkV5bFKa1K3+coke4cySQEAKJSJKBQiV5EoBj4yMXLlzY2dkpldcMYajEZypOtLGx0Wg0BKAQgqgZc/IPIApv+XgdZw7KYAUxWz+OEEz4WCdvJUJhpOVTC/Yo/z4eJh9Zcn2SSdaSREpOHL8fdFYRoQWOLcaU0DkoejoREUIz5Rk6y5ZKpZ2dnb3d7UbDNgwDEYlsIioUCtOzsxOTY0KYCEIJkNwzQgKAIz7SlGjhuNHxZ8pThPtbXP6yyCnioF7dCT5ZDMMwDMO3IoZhGKazSPmmffr3LwEBFxXn7XViYuLy5csDAwNSWrZtAwAi1mq1l6vrKysrlmWBNhhHp1t0E6dJVAuefldJzeGDUCdBXFBGuXQFJir1nC3tra2t0v5+rVZTKf+IbDW3WMxPz0yOjo66vl2hYsHGUx+IyTAMwzC9RKc8czAMwzBMItJVUgj3d3hu3FoAABSTlN0/XS8n7VYIJaEzSwJNTkxfv359ZGSEiNS4MwOMWq2xsLCwtLRkWU4J3rgbX1FERNJ94z6hsFGkhCkF4Whd3FFIQ3hdof2J226wV6C7O94ehY+7O6XV2iZHJ9uLXTb3kUA066lVmhzhjsT22/YQaE1JAQlRsNM47am6LiIiARIgIBFtbe68XFop7VcEGCrZHyIKAUJAsVicnJwcHhnxEggGoWDbYujP8aPXIc3vuKtHq/3kMOcUwzAMw7QJx4kYhmEYph2IfNEcNY4GACamJq9cuTI6OioAQRIRCSHq9frLly+XV1ar1apXgubUm0xH6Kc6Em6Wk6PtiAwRbW9tvXjxolwqKWci1ecNw+jr6xseHh4eHjZNUwjh+Xw5W+yeTGftIUM/GIZhGOYk6Hp/IoZhGOasEOfrkcah5mCi5BgC3FdfipjS/B25LXTfYpGcPGhEEgAnJiYuqziRELZNACBR1uv19fX19fX1crVCIAklIirpECBIUP5G+tYkuAIT9E0Mk9gCWhHaTwkkAkXHrHTg3DTHKA0pcpk5BJKFxaXMA/doBsvspNhDs91Q3xHUf6bx5ErwxDkxBAAR+tRb6hxBgs3NzYXnL3Z3d71ZNslCtm96enp6ejqfKypFGCKSliXNH0I9qp7WKgdn8Uu3bppBhWG3I/2/HBVlGIZhTgi+5TAMwzDMYVEvtJ5KYmJianxianh4OJvNKomEbdulUmV7e3tra6tSraiBOXoJKV5/j+oNmbUJzEmgubMb62ubz549293dJS1FYD6fn5mZmZyczGQy0OvqobjxZawlZBiGYU4BvvcwDMMwHYLU/uhTwsvErRXncRMmyfFEnxKuD5Gtxpd5EAIIRBJITplGxpyenr506VJfX0GCLYEkAhFVSuWXS8vr6+tSSgNNb3nwvSQri18BEBjpI2L+xCEBpFtE07vHsb7RpocdfOL8fTyHmtALfZr6JNbTV07y9LhN6N5VYdeYzvR5iW63eAel5HY+3n2Mc/hyt00UE+cRQqyvrz958mRndxcFgVtOLpebnZ2dmpoyzaC8XY8ZabnPfF5j+p+jpqWWTFgyfHVKX3Kc8xHDMAzDHDt812EYhmGYQxJ8izMMY3Z29srV+YHBPtu2PdeVcrn84sWLtZVV27YjHKx7WU7BRHCGH9L0IWOWZa2trS0uLu6XdhERXFuufD4/Nzc3PT1tZHxxIjUAM9LovcM42qhcB8YxGYZhmB7lDD+CMAzDMN1FslYi/HW9NX2NqzuI024k01SpIBqIhpPUiaIz3CPB7Oz09evXh4aGpJSO2TVipVJZXFxcXV2VUiqXomAl0fdiLIGkW7vWdRPRegQEgSBcIYYgEO36Ex+VeuVoM0CFFUnNY+dvw9PXaMQdU+2IqDxoKbVax7tH4X6i1x8JkZwcZ96wStXzy5XK5vbWytpquVIhABQEKJGgWCyeOz87PTOp64kE+KREofY5jHKtVVpVACnSK/685QM/OlP7xjAMw/QQHCdiGIZhmMNBAtwRZCqXEyLNzc298sorQ0NDRCSlBSgRsVQqPXu2sLy8Ytt2XGFOXOngJGgM8Bt156DrfjwpECLW6rWVlZXNzc1KpWJZljdLCFEsFuPGnZ0dDt/9uAMzDMMwHcfZvTEzDMMwXUarhiBxnzqi52LLn0b0+kRn43KzO0ki6WQBU0EeFDNz565e2x4eGQMveCSoUqk8e/ZsaWlJ5UED941agEFEKNRoHad8cpJHiZNP0KVnNNM3jr65R/upKWWms1TluLnqtCPVfsWOkGb99fx6yZzusKtwu4X7g7ckYdN7CNxuv7G+9ejRo52tbQOFFAKIAASiyGaNwf6ByamZoeFRR53nSpAOHGvmn30c+d3icqvF9cD0dQgsE7jIhPM8Rl95GIZhGOZY4VsOwzAMwxwKpZsALesZIuayucnJycnJydHRUSWXQMRqtbr8YmllZaVarYLmvUJgA0rPxkhDdJiw6BT1Oyy76HTCfVUIsbGx8ejRo42NDX2xbCYzNjI6OTk5ODgIvsxoGFlOV8OaOIZhGKbj6Nk4Ed+VGYZhOp/2XEjCayVd832uK47hSjhnVrS3EUjHokh5soAyZHHfcguFwuzs7IXzc8VCzrLqiFiv1zc2NtbX13e2tiVJcDUXza1Iry4C3ExqjtpCy1bWgldRzKLJnkTxcwW072cUJpzRLO5IHXzL1v2n/DVs5no7upq3R6teWofZytGQ3G4+fyJlLRRy7FpfX3/48KfNzU1hABpAKIkom83Ozs7Ozc3l83mnqKCMqHnUDuKo9jdNtsS4KXHXnIT+HJm6MdmdjZ9dGYZhmBOiZ+NEDMMwzFnnGF6ZYl5MD3xpbyqDtDiRaZoXzp2/fPlysVgkIiJbEtatxs7O3uLi4sbGBhEJIQCAyAYAZXLkrY7I92iduMPNrdQRhNVwKoq0trbx4MGDtbU1fWSZihPNzs7mszm1cAfkNTt9X3OGYRiG6RD4jsgwDMN0ING5ukIcmI1In5v+a3wwN5YePiKyiWxC8NLYKwEFguG5WYN0lEDnzs++8sor/QMDyp1a2ffu7u4+evRoeXlZSikAQZI+vswtWRLJuHxqzpJ6ACtF6iy9BfTFD6deiSPNcdFVEhEaLj9xOgunQASJwWOdvm+0yvGVDNCO7ukYlCZat1A/D9CgRaWxJ6C1tbXHjx9vb28DCYEmkCDCXLYwNzc3d24mm82mrlA4Y92BFT9Cwtq3ZJK1Y3HXt+StcCSLYRiGOSH4fsMwDMOcFY59zMVh3jAD1iqWZQkjc2l+/pUbN/r7+8kZPCZRiN3tnYcPHy6/WFILRyoppBr/JqVXplMCEMXV8dQFGacGD8Y5HlrvUVJKdJEkXy6vrq2t7e7u1ut1Qqer27adyWQuXLhw8eLFbN7RE+mjLztAW9Q2/FzNMAzDdAM9m++Mb+QMwzCdQ/q8QhBzAU/OB5T2mh+XyylcPpLKq4UAQAgIiEgIRFI5rRi2bQsh5ubOX7lyZWhoyPG6RgSA3d3dH3/88Y03XrNtW5WmpEbOwBwSRICCbJIGCnLSnpGe9iziNdqdRJFznRRlIrR4OKebvny4oPSE21yknnv4LabJEtXeFmXot0icEiQc5Gu3sdvPgZVqi8k9yl+C00uJEICIBAoA2Nreff50YW1lVVq2BFs5cSGiENA/UJw7f27u3AWlJ9LNidwf0fuVppWOM8iUHJEM1zk5P1qabfHzKsMwDHMK8O2HYRiGORN04ltTcJRNUxMhpZRoiHyhMDo6OjMzMz4+bpqmeh/e2dl5eP/H588Xq9WqJyny5EgeiCj1gWUU/dtXgSPev1OEJUIdQXKP8vqq+m8z1gkAAJsb2w8fPlxdXZVSCiEQ0QYyDGN0ZGRqamp6enpwcNAwjECBx7Ibpwn3ZIZhGObs0VkP3EdEmvHbnDOCYRjm5Im89iZLh3QXjzSltbr1AzngntIMFZFAMPTpSIAA/f2DFy5cunjhXC6XkWQhYrlcfvHixeLi4tbGtiVtNR6n+bKtCpOocp95oSLlW+TkVsNEMyLNVsY/o4mbNE1QpOfLAQY57bVkGq8oGbVYwpLJ05Mz36WvT/Iy7XA8OeNOdOuOhshz6YJmkEh15o2NjXv37q2srCCi4fi1YyaTm52euXxpfnR01CunWbGzNOIsZct35ZM2wzAM0+Xw3YthGIY5Rc58yD6ogBCIiES2t2uZTOby5cvXrl0rFArSsoFsIrRte2Nt88GDBy9fvgQAIYQuzcCYwnXtBgF1o/hCp3P6RufUpINQAym9/0qSXpBI/djc3Lx3797y8rLK60dEKCmbzc7Pz1+7dq2/v//Uqn6q6GcxwzAMw3QmXRYn4kwQDMMwnU96BUSaJcPLtJqZKM1WonMP+aQQglCQY1OEzvLSsjMZ49q1KzdefbVYLCpfajUGZ319/bvvvltcXAQAgQJIAEpA6ah7UBLYoN66taxnhCChOaWNF86weghBYLpMUvGtcRjiStOzoaUhvfYnpZopMAsgmCdOULCGB7eMruVB7U+7HO+TT5q6qT7pVgeV2I0AVldXnz59urW1hYgohAoeFQqFq1ev3rhxvVgsOpuI1hB1vu47LpfZ4Wve+fvOMAzDdDkcVWEYhmGYIyCQvEyNx7Gkncvlrl+/fuPGDfViLKVEJERcXV39+uuvFxYWvNX1vGatbjdievu70lGcyhcgfks/mMiOh4ACRa1eW1h4sbS0tLu722g0lP2WEAIAioXc9RvXbt68OTAwkFBOF+OZkTEMwzBMx9KzcSJWHjEMw5wWAdehA7/Gp1cMHV5bFCbtt30kNRLHkOBIJxBRSmma2Ymp6QuX5ienZ3K5nBDCJgkCN7e37t+/v7CwUC7vAwCgM2xHqYr8NSCKeq+MVRVpC1Poj7dIilfVuPY8br2DiBdrBGhPcZY8N5ADzvnjtl64v53WE0XyedQOrWjKonVAql/tbu89uH9/cWGhXqsR2IBSCGEYxvDQwPT09IULF8YmxjOZDADoIzRdzpaaJtwHkvVxh9kKwzAMw5wQHCthGIZhmBbQc5OFp3u6CWcZBBCIgIODg1evXp2fn89kMmr02f7+/sLCwvOnz1ZWVirVSqTKgKLQp4eXPOa9PxVO+FklbnP8yOTQ7ITQ7HW6F/vm5uaXX3755MkTIjJNE4WQUmYymYsXL958/Y3x8XGvnC7tsQzDMAxztuGHHoZhGOZ0CXwnD7vS6NKSQ3obRa6b/J0/2pkItMCQmupJfgQBkAASughoYKDv9VdvXL9+NZfL2HYDQDYajf39/RcvXvz08Me1jQ0QQgWYHEjof1TuM3A1RM2sZ4EsZqE8aOndcELTE5QyR66gSan5SlOfOH1ZS4qM2FCRaiXlTKR8nVKX2TbJOdpOR2lCEOp7WsRnbWX13t37L168UJ7WRKTiRNevX3/zrdtepjMAQDSixHIdop05TNseXsnIMAzDMKcG37cYhmGYU6TV17AzcNvy8j0pJIAkWSwW33rrrTfffDOfz6vppmmaprn6cuXOnW+WlpaUEKmZzoxIzzIeKReKHPjjSTzoUA5FLRyXFlUhyeO8OoEz0MdOlzh7HTW9Xq+/fLmqcvnZUirXdpIyY5rXr19/55139DgRwzAMwzAdCD8MMQzDMCdMe/nF9FlxpR343f5I7nrR9ffcgoTwVQOJLMvK5QqXr167fv3G6Oi4OzCNEHF5efnOnTtLi4tS+rQhkixAaZGU6HstV7mllJIofYDG0Qq1ZD+TtL9Hq2EJK4DaU8q0p9oQoT8djtcynVJn1T8NFAKwtLf/8P6Dnx483FrfKJf3CWxENIQY6BucnpyZn5+/dOmSl+lMX91PR+zXURDuz+2dO93RGgzDMMyZge86DMMwDNMCenQmLlKjBpApQZAad5PNZqcmpy5cuDA7Ozs6OmoYhlp3eXnl66+/ff78eb1a1Uvw3F6klHomNc8aRq9PbFU1KVJ4iuMvA74F2qDF/E3syNs2HdFuzZ7jSt70zrOxsfHJJ59+++3XlmU5nRzAMIyZmZlXXrl27ty5QiEHvZfjjGEYhmHOFj0bJ2o1+wnDMAxzGOKuq7HuPy2u1V59jsHhRWUr8+cs80aQjU9O3Lx589KlS6YwpJSIWKlV19fXF549f/bsyd5eCdFQSwrXLAgRCWwE6QtOIUhXGqR+K5GRp2nS9pPIVSSRtorubeT6Hek50eIcfw6vYfF8prQ6RntUpd/KSdy1w05PJ0VnaUk8LZvzX3/EZ21t4+svv3r48GGjUTNNk4gsy0LECxfOvfnmm1NTU81yOjpUlL5HhX3T4rzVGIZhGObM0MX3rS7eNYZhGCaSE4kXaPKZsJQmYE7UrJmUBDQwMPDuz39269atTC5r2za4uqHnz59/c+fr1dVVZeaiEqIJQAPQgKZFkb4VVWZg09G1BdTnRrgGq+lAzT9RdkhHirpH9/QnmdZbWMT8PjnCcjaF6rT1au3li6X79++/ePGiZjVAoJIUCSHmr1x+9913x8dHdXEcwzAMwzCdSY8HU47bc4FhGIZRxH1RT77qJmtPkr/Vp9EleXMPJLzdYJlK1yMAlaIHEQWaJNF7tbYsq29g6NbN/z97f/reNrLl+YPnRAAkRWrfZUnWYlned6ftzLtV9a3qut013TUzf2K/+b2Yeaaf51fT8+uuukvnvbk47XR6X7XvkrVLlLgh4syLAEAQICFSmykpPs+9TgoEQCwBIOLge77n9uWrV+rq6pRLEUdGQk6OT/z009OFhQXGGOfczeURMgcogRgBg8LxuZRS/aJXQxSsgKaCRHlLI9/wvEBWlP9MaMfAyjgyB6SiZ26lSo1ylFDhmrJyegVH13MouubwXT6SLVEqM9WKgihnotTO7uvXr1+/fr26up7KZkAFwgBqYrGWlpbBwf6h4QsNDQ2wt5KoetQ35dydvJ/3XV9Po9FoNJrqwvjSG3B06MezRqPRnDWkM3KraJxZzsysnMcKIoIjl0BE33BYCBGPxy8MXxweHm7v7FhZWZFSAkMAmJqaMqORb775RkrJOVfzKyEGEUGhIEiFb9wgjlfBZM9Dnm/3W/WMgPAIk6u0nugoNDVHdTyLtiKfMmhjY+PHH3/65ZcXmUzGMAxCIAJEbGpqUvbV7e3tAKDSLas76cylrKteo9FoNJrTxymOE4XjPvvtHoB6VYue0YLqwmhhtEaj0RwG3uFWpWKB4PylBm/hQSJZxjx5Ak8BVrgG7zrDnhW2169EIuAmYwidnZ23b9/eTe6Mj49LaRHyreTO3NzcxMTE1NRER0eXEYmo3y9MaVPPKa+kQwIBICciFRvyfuc1KiqQgZSayQM78giR93M5bSO8DQS/LZWi5T2DHgMpAFARu2Lr2as/cHTil4NfKV4kgN2KSu0MeuZ04o8MoEg2pa2S80xdXV1/8/LVp0+f0um00spJCVJCT0/PvXv3enp6KtyXL0vRi73SNRwRB7mXajQajUZTFvoBs483zxqNRqP5IlT1u33fQNpnXWTnkQkhJDU1NT18+PDq1aumaQqShGBZ1s5OamRk5M2rt2tra5xzR0lURHVSqRbDtSg6RRx6Szgz3YBKLLh9EjZ3otsyiYghsyxra2NzbnpmfHx8cXExKyxmcEREgmjEGBwcfPDgQWdnZ3BV1c2ZaRIajUaj0QQ4s09Bn8GB6jgdTe0bjUaj0RRQaRUzn0tR0dpYpdjTzKXk3d55LoSvjQGwoJu16xmEiAgciNkzCEmWaGnrePDgwdWrV+PxmPIzYozlcrl3b97/9a9/XVpaMhl3XYqklGpkLoAk2h4xjt8QI2RB1xi3Apr7PyDIa42Q8v8reVw8y5agsD5a+Rz8OXsQC5jDrd12FJTviVMZBIyAlXfWVKvmiNzXBoiIJCpREhEZjAFANp178ezFkyc/r61tCCGcQJKMxszm5ubBwcEr1y63tbVJaZ93b7W+aqXSpnWcVXSrs91qNBqN5lRxxp8xQS26RqPRaE4QLPAhfLbyOejQDj14pwsh6urqLl66cunSpe7u7rq6OgBQnkTjkxM///zL3MxsNpcNqWVWquaURnOkBJscEQHR1vrG06dPnz39eXd3l5kGMCU34o2NjYODg4OD/efOnVOFz1Sr1k1Xo9FoNJoq5wzGiYLVKCqtn6LRaDSaSgmvDVSO6mdPGcieoaLiaqBivyXB1lwUqWtWuGw+jcdJxuGupQugREbEUKLt8OJGjBjD3t7er7/+1cDAgBAiJ7JCyq2trfn5+Q8fPnz69GF7Zwc5t5dACSgZAUoCYkDMGypyhEGSSBQpWE6ABIREpdVDpQ8Z+oyKgjqUStKYnLUetO5YsCWUv579UPk+AuxHaaU4+B4Vr7qFJXdEAkivbiioI7MVbUQSQCJIBABgjJGAbNaam5t7/+7d2MR4Op3mHAHAsizLsnp6en79619fuHCBqRbqGEAF29XJ5OgU6KXuh/5f3G8b02g0Go1mD86sj7VGo9FoThzHXH6ozBcGjoeLM2JTlc5UmlfQGwgRyRISsaOr85tvvlleXh4bG8taOUBpWdbm5ubr16+7ujtj8dr6+vqclKACTIi+EaFtj01HWpWsajm4zfBppYyqfPsNLjAA6VTfAwAEtKzczNT0u3fvpqen19bWeMREzlBKk0disdiFCxcePnx4/vx5KSUyBo6l0YlxKNJoNBqN5qxyBjtYDICp97Hh8zmv3bRXkUaj0Ryc4hqH8gjqj4Jv8stcZ/nz+0QrRVcl1Yjbtg9yNolIENp5ZxIAQCLahaEIQGXfSCk72ru+evDoypUrjY2NEcMESYbBstn0L7/88r///O3q8jIAIHIJtnrI1XH4EtmU+oMIAZjXeshREqmIVfH9DTUpKkApF7yClP2pbEpTSkcT/NbVl7HScx6HzigcdCIy6n8SqPJ8q+DWlppSatdKHSX/PEGNj60qkgTS3mwi1XOSAFJVNBNCPH78+I9//PPK8ppyXpcCgFiitqa7p+vixYuXLl1qbW1VCzNA1UqrNe+s2hwq/W1YOUx5px/2NajRaDQajY3WE2k0Go3mjFD+8K/SlygS1JgNUTr21UQkARhjrtOQmghOFk8iUdPb23vp0qVLly4JIdbW1hBRSjk9PZ1IJMZGRgcHB2sSdYZhgJRqiC6dQaFbpzxYsNzHySkvdaS4g/8z+HqsYhCQApIjUoEeO6rEiIghLi0svnn56vXr11vJbTQ4AZCUiNjW0nrrxs18kEittrwWq9FoNBqN5otzVjtMKAGLvHt0q71qNBqN5lAJ+hMFP5ci3CEoqC7Z39r8IMhAvbM8jk4HAEBVhiI7KycfmmEAJAQD4Ih2kAglMvspIwQBwNDQ0D/+4z8ODQ1ZlpXL5aSUuVxudXX16U8/P/3p553tzYhpKO0GoGQgCQSByG9k4ZDbrXRGCISSUDpyISaLHR/vXnjxqktsLYxSTnlSliqvd7ZnPTtZev5wrUcp1UzRRYr8VulzvU91CRFJIEESSAAJpaZRbcCRntmzlbEyFvhfyCax0kcjfIMFkd2uEADJjmbaVdJUfNOTSklCTo5PPP/52fj4+MbGRsbKuZbtUsqenp7f//73165ds1sIujuLiGe151kWxa8Rr5pPexJpNBqN5hjQT2uNRqPRHDNfKrPjqB95RdavRs6+qmfqsxBCCHGup/vRo0fDw8N1dXWGYagBeTKZfP78+ZPHP62srABJW8pB+fQfV5rhTvH+qJ0RV1gWraKdDxmIHpIU5OjaQHg06pigwojhERB09YYj2kFfQ1IpjrlM9sO7d09++mlhfj6Tybgv2WKxWFtb24WLQzdu3ezu7iYQQWmSRqPRaDSaKufMxokCWd8eJVGhqsj7nrN6stY1Go3m9BGuKAn3r/HOs6ddyz5UKuHfusEg7ovgQKEHkDInsv2GpJRSNje1Xrp89erVq4ODg3V1dUTEOc9kMq/fvvnp6ZOZmZmdnR0pJSB3n02IGHTZc1yKSG0Zuk80lK5OpKKnGHlUDEpeVNQMZV8OKXt67oRPL/MMBlXDRX+9nN8t67j5wnbOeWeIHBDV2SkaMSy2L16VnO/XQ1p18GgUv4IKz5pqIYzIjkUqPZpqYwKERAnEELizwRIAdnZ2Xr54/d3fflj+vMo5txMtpWxsqr9z99bNmzc7OzsjEQMJQBKSuz0E4D8IVUA19O7C7jZex0ytKtJoNBrNMXBm40QajUaj0SiOcIjo1RO5gMeriJm8sbHxytXrjx49OnfunIoiCSHW19cnJydf/PL8/fv3mUzGMAzOecgP7ZHBJKlMv2qFACp+UA5heHo8A/KigZUj7PP4XjUdWRzk8I+eu+XeEKdnd9zsSgkADBkAW1lZeff63aePH+fm5lKpFHBmR0k57+rqevjw4bVr1xKJhLMGoZP6NRqNRqM5WWgfa7B7XcjAeb2mezMajUZzvJTyGA6XUUBgqf2NokuFD8Kcj5nt12M/NzyLMABQaWL2EJshANieQsQQgBxpCRGJrCWEuH79Okk5Nzf34f1bAjAMIxKJbG1t/fnP/9swjHPnztU3NJJFyj/Yuxmuwig8MEEVyn6YWrezbwjO2j0r2W8gRB3P8DNVzrkO+cobGJLOlGB+lvf8hre9PQJMfiWRCrgoNx8CKSUiMURwrHmIbFlNsV2QJT4H5wn/tpy9kG4rVWFEj5EQEAhHs8YIBBAoTRlH9vb1mz/9+x+nJmeQESKo1mGYLBKJ9PX1/frXv75y5RJyO0GSkAPYjV5dC44V1PFLioJH44vLiCoifwarSo6l0Wg0mtPH2dQTnc291mg0mirhWJ1iPFQw8j/w+gtwE45cMREAqDpoQggiamlpu3T5sso+SyQSUlqMwe7u7sf3H54/fzk5ObmT3JbSLkZ+/FSrxUypbLXyZz4E9ny3VIm26MuELdATdvDpiVzhG6Kqag/rq2sf3n54/svL5eVlAgDOCMAS2UQicevWrbt3754/fz4SjboLajQajUajOXGcOT0RgasbKiJEL9al0ZV0NRqN5ugIv8cG3/lXejf2Ckl8y+5pWBP2W+pporK53JpiEHAmAgBgnkpn0vmMgGQX2SQiNLChoeHmzZuzs7M//vj95OQkYyyXy6ysZMZGRp89/TkeqxkavhiJxcCiomICdKRNrjAW7dG/2k5JBIgcACRIz77599GrKylUtlBeVWQfgfzPlUdw3j3ULmVM8X615xrCF/dx0Oe+MuVRx7xw35nnOAbVQ8HpUMZ0L+U7WzOnkYAqjFcQJCIGACgJVcYZYwC4sbY59mns08ePExMTu7u7xDgyRmQJIdra2v7hH/7DN998E4vF1NpJFZaVbpk0V9XmU+EdEeUfq+MJz1WkfCzanjUajUajOSbOXJzI4WQpjTUajUazb451xBX0pnFTzMBJEJOFBcuICCVFIpGr16/t7OzMzk7Pzs4q7YZlWYuLi3/79q81NTVd3ecSdXXugqVUKt6vVLQoZNv2t1MH8N8pHuQ60YQIZypXElVXdEDFNNVnBggMRkdH//rtt58+fdrd3RUkkRmWZcVqIm1tbVeuXLpx48bAwIBpmtUqQCtKFXYIq3CTNBqNRnO2OHNxIizx7s55txXs2ezvbZ5Go9FoKiV4dz2Ii0359+q99RdB7YwTiZEAQMrhjgAAghZC9vwqmkDKKYirNSIiEDHGstksEV0YvMgAnz17OjoysrG5ncvlIjFzY2v9hx8e1zc2Pfz6UWNzMyPmZp8VxG7sMkgMAAgkMltgROAP8TAM3VPMH7d8OTdEb2qSnT1XdPkwlYjXxcm7DeE6mkrHzJWqNsK/KutZ7wsVOQfc6zsevp5STttH1d8gAAJigAAgwQ5WEpEqamZPAQK0f1u17Uwq+/7N2z/98S9zc3PcZACcABCxtrb25vUb9+/eG+jrTyRqhCApJSIqxRzYByTvAnkYVKqrCk4Jas0Oepy9FubFQoT7uyNpNJqTix4znkT0WbPRh0Cj0Wg0J4WT9MzyGhL5pnjFRAD5nGfTNFvb2x48ePDNr37V2FifyWQAQAixubn58ePHv/zlL+/fvkVE0+TBUaivpNShW8MQ0CGJREqVdT9mDlmy4Z6RKqv4XhYF9tuBlmNwwzCM1eWVZ0+evnn9emlpKZ1OA2fIgXMeiUQ62zu++eabR48eNTU1AQBjBUfgJB6QfbPnzmrPJo1Go9GcCE6Znqj8+F+lHcTwqigajUajOVz2dCYqqkkpp2LUfig2+PO4z4SO/QrEJo4SR5lYu1PUGrLZrMEj9756IISYmZlZXFggIsYYcpybm/u//sf/jBjRgb5Bs6kRAIghw0BRcxCFSWdukpr/CHhDA+U/E737eQT1zg4YuyklCZGBx3cp/U74Ju0xc4kYQSmFlHeTSrkU+ef3eCz6pgP4zoiT4eeesmL6lrwbERIjACKSCIzALdYHwAgIASfHx//3X/4y9mkkZ2VUhIikiJiRhvr64eHhhw8fXr1+TQghBHn92hFR/QqSBKiw6l4Y5dco3NMB7YC3CO+CIjC9oP3oIJFGc8Y4zH6I5rjQZ8rmtB6IA/U19ywwrNFoNJovSrX4d/hUPEWfHUVnKCoIklJyzs+dO3ftxs1bt+4MDQ3FYrFcLoeIW1tbHz9+fPbs2cuXL1eWVxhjhsF9w86QJ5dParTv8erhqYqOiKIN47R2dUIpDBKVIl/LzAkSedsGY4wxZmXF4vzC+/fvXz1/MTc3J4mAM8aYZVnxmpqvv/7697///bmebrC9rgtWTkRIwKCau1WH1jwCV7e/NVbxQdBoNBqNpoBTpifyvb3xvVos9S5ao9FoNMdDpXrPcrxmSlWqKv8mX2k9Ne+7wYKReDD+QkReCYWU0pfj46iNGCJKKRhjiZqGnp6eBw8ebG9v//D939KpHc4xm02vrGTfv3//3V+/NQx29/69aE2NXZEK0fUbVqst+u6yUEDko7IjpgQmZc5cCWyvc7GnXxUL/Bk0Pyp/Yw6F8tdTfs01/0652h/vTEWVRHYT9aaYkV2nzw0SeURqgAArq2vv37x/+/rd+NRkMplE0zDQQOSJGt7V1fGrX3399a++qaurIyIJBAzILgPo/PoXDo6Ev88/SFcwuGbmuf5ksZl9RyP8utMahKqluvzmNRqN5ig4ZXGiimD6VY9Go9FoDkJRSxd/vTNnwO7mf3nrhTkJaBKcJCDLsmpiiYcPH0opZ2em1tfXLaHmx+np6T/+8Y/x2sT5/r72zk6TmZ41FCEoZXIroLkhqn1WQDtoqOioR1nezLKz+FqoqJLIPemqTboZkVL6lUR5JExPTP7x3//97avXlmUxzhnnqUy6Jhq/evXyw4cPL1261NLSgoiy2HFGJVVSPutnFx1T0Gg0Gs0J41TGiUplm+s3MxqNRlNtBG/UB3nnH1SjhNfSCtkS1/OlnGdH2DwM7NE4AySUAIQepxJkJKVUVkMqUSeXyxmGMXjhYi6Xe/3qxcbGxtzswq4lmME2NtZevdrpPNc9NHzxxq1bXV3dzGcaXHLfAZyqVXYNK2exckNFMjBbxSN/LCMRqtIKVpVqwQ7y66Uov4WUmlKOS5GXsOMQ4iHlj2BKBEABBIEgESIio0w6tbGy+u7t61+e/rzweYkbBo+YwNA0zebmxrt37/7mm191d3dxjkQk3VJfhSe5+iJE+6ugV051Rd/0kB/au8aiporRp0yjOcXoiIHNqYwTwZl9f6jRaDSaEnyBh4JbJ1sJNxhjgiQiEuVH7O7n/BRJjDEpZUtr+3/6z/+3WCz2//5//X82NjZqeA1jjIhev379f/wfkMvl/uMf2uPxGiIJ3iQjRPcPf45bidCOM1vYvvisZ04OujNQBCcqpDIW85ZVttqIwDAYAH5eXPrzv/37kx+f7OzsICIxJIsQsL29/fLwpTt37ly5fiWRSBTUg/e0Pa9fz5m0cPaHkEJzPzUajUajqSJOa5wI9vtGrpy1ndC+skaj0VQ/+7jB7nm33zNSUPxHvZ4vFJjiJa+YICSQbq4NFFrb5lO9mEr9UbXPuAr0ANhe1oBSksxmKR6P37l3N5vNvnn9YXc3vbubRCEYh7mZ6WRyq+dcd3/fYN/gQH19PSJKyYDsIBErUv5KHQhCRAKvMqhc3xYiduDx7VFECspU8ezpJ1JOhaxK+wDlhKjyayusZVb8F0ufgHwrDZ+TVHOV+XUyAiIQag0kEZEzlsuJdGpn5OPHx98/HhkZyQqLGwYhEkK8pmZoaOirr766dOlSfUMDIAihEiolIkLe28iJeyIQEDvy4MjR9dCKaNbc/M1Civ665/TpCJFGcxbRI0fNiUQ3XI1Go9GcEY5UWqKSuQqSs0oNC73yDSiU6rjaIuU6VFNTc+HChf/yX/7517/+xjTNdDqtpu8md7777rv/9t/+29u3bzlnjGFFlTr3Ie7QQ9xTgApPumbVXtwZDGSMQXJ7+2/f/vWv3343Pz+fSqUkETEkomg02tzc/OD+V//wD/9w7tw5FY5yVEjk2rSfSvasbLgXUqvbNBqNRnNSOMV6ovLrhmg0Go3mFMMCH0IIesSEf1afOADIEnqZIkk3xEhKdMbYUkpPzTIiJ3eHMYYEra2tD79+lErvTE1PSLKyuZywLCbY2NhYJmv19vZ2dnZ2dXXV1sT3LHiPBAhAKAEAJENEwv37LlU37jaH7EKpr0ppiyo9Dt7WIj0rqUxnVA7lxGYcJREioPTUNbMIXHt1k3EhRDqVHRsZ/fnx07dv3mxsb1kkgXMSFudmV2fXtWvXbt682dd/HgCEUBo2CYU1zpTCzvbDCqjbjiuSdJDWG1yWARCRQMSDXRFeh/U959FoNCeak/sM1WhOc5zocNDJ5BqNRqMpjyI9wuDjAxHB0f64xi5uzTI3c0dFjnI5yzTN8+fP37t/f3l5uaYm+uLFq4xlmTySyWSWFhf/9Kc/ZbPZ//pf/+v161eJ0LJk+Q8sKSXyPbOx7A1z7WZO2mOxHDvhY+jEH9sPFYeICG2PKvIEiSQCgh2pZIxxDulU5uXzF08f//Tu3bulpSUpJeOckATJCOe3bt3653/+5+HhYZKA3G9q5arhyP5B9E7Pz6Y26Tj2+4g4FPd0XVtdo9FoNNXLGY8T6SivRqPRVBvluMt5KceHrlS1qXI8a8rdEgROhYNfr6qiYE5GaFvBOJEXlACgxvBcaYuYyuRBwzAikUhf38CvfvWrdDr9+fPKwsKCsEgIsbOz8/7dOwQ4d+5cfX19S3tbPBqVkghE0S0kVGN0WzziWibZlctBfc4rcciZeU+8kpHqiwIE9UHe6V7l0UFaS3D97q8ckzzE3QFfDE8piezAkCdIJACB7JbAGKAUu+ns5PjEL09/fvXy5dLSUjqdZhFTAgkhm5tbB/rO37lz5+r1a3V1tUQgJThOW/YPuQloCOAGiQglAOIX62vt7+BXGtcrZ05WRoBJ90s1Go1GUxWc8ThRnmDa+SnOsddoNJqzzVGN29XYmAJBErfqmVuAXKmKwHnWMDQIhDd2Y+t3UEopM5lMfX393Tv3M5nM6ufln5//Mj01iwQcYWNt/cO79//+b/+WzWb/6Z/+qa+vFxGlLPn8ch9trq+wV/ehRvgOBUETryH3QQ7Rl6ZU1OaovauOL5PIHyRylET2t454jYjAyYhExAjHdDbz6dOnZ09/fvbzz5OTk5ZlmZEIMcxaOQC4ePHif/qn/3jr1u2amhoAkE4rzf+uKyYq7D4hBUrpnbTulbd2GwAUjeZ4j3AZq9SRII1Go9FUNTpOtCdKw6+e+vq5rtFoNEfNwUfU4TqgStfPACT6pxRZp6uYQEAVKgpWPbP/JEBA6QaDAIiIoSFJEhGiJLLdXoghgZREpmk2NDVeunz1t3+3aUlIJpMbGxtCWJYlNjY2Xr14yRi0tjWbptnU2hKJmELYjsLMu79KK4R2mCBfl82re7I/o+M3w1CVYzvR0aECfNZFXoJyj3I8qsIdjoJTirfPcg5wodVP0CfLiwQAAuYNEoEdzmBC1caTRAicMyLY2UnNzc6+fPbz82dP5+bmdnZ2jAgXQEJAbW3tuc6O2zdv3Lh1u/Ncl2FwAEKQQFA0s6yIIVfRXT3kaNHh1qX1Z48SCci/R6zAM95DOc5EGo3mNKHrZZ9E9Jmy0XGiPEV7Nif8xalGo9FoilKROcieehD/qopKLVztBgZErIhcqTxU6MajPFK/i7lczqJcV1fXP/7jP1qWtbQwNzIysr61aRiIiLOzszmRra+vlwJ+9dvfdLS3EQLJfBCq6LMsr3IqDmJhfEE/EE8WRERYYG1OEtUksL2KgBEwBlZGzM7MvPjl+Y8//vjpw0fLkoZpEpIUwhLy3Llzv/31r+59db+rq6umJial8P6E+uBv4d6w0THt7hHiV0h5IrzeieWtTI9ANBqNRnMCOFNxorBobukgEZVYVseGNRqN5vgp5TUDZUwvtZ5Kp+99/1eOMN56TxQcRaIEIAZMSElkCSBkmFcSIRAAI05EamFCGYlEWtpa79y5s725GYv972fPn+/s7BBRJpddXl598uRnRKyti9+8fbe5uTlqGEJIIgYABCX9rYlIAjHGPM5EIJXBcQGSCBA4QJGhP1bg7HsoHsCHQlDjEz6PQgY+l7OectZcHG/XpJiurUDL5lmKkW0WRPZZI1IrkG7yo8GIIL2T+ry09MvPz549eTozNb2zs2OYUYkgLBmJ1Zxrbrl5/cb9B18NDg7W1NSoLSgaNFQtnKnUS1uVppRo3DPX0fWdgudlfxQ944T2XtjbX2nIlIhwj9qCpX5do9GcLMLvcnr8WM3os1PAmYoT7QF6zRryb8OO1VZAo9FoNCcdKrT58eJ9J2H7uQByxoS0U9sQEYmDSj3Lj8WV7RHkcjkkGBq+2NjYaEm5sLQ0Nze3m85Eo1EA+PTpUyaTqq2tBWIPHjyINjV6N8lTi6rIVnnnzG9bMMJFQbMZTZWSP5WkPqPvdRhjkMtZS4uLr168/OFv3717+zaXy0RiUUFIQgqSTU1Nt2/fvn///pUrV+rr6y0hkRABGCsmoANSv+WbXqjdO5F9Ks8FUu72+8oCai2eRqPRnBB0MUqbMxgn2jtSGFAUu92CcD8CzVFT6tzp6K+mlG+IRhNOiGOIr6NQ7v1fubZ4ceMsjDFBHltoZSBNQGrgLaUAFcqRREzVPiOUBCpJyEkiAxaNRto7Ox4+fJhOp7/99tvXr99ms1kS0srmlhY+f//9j0KISNS4fv16Y3NzxDAsSwJxIATMG1znS1M5GUO29w3lH4K2KgQ4EJFyNUKJiI7PUfhRxcBxA8/n4FO1+vky21nqMDteRUElEQCAlOBuMNk1zuzPSMRNBgCpVPrzwuLPT57+/OTx9NTUzs4ONwyJYFk5I2K2tzRfvXr1m19/fe3a1draekRkjo8VAhAysGuZAdpxKAYA6MmXROSeE+0NFR014XXrwpfac3qR2XwCK10IRaM5w2gl0cmFFXtmnV3OYJxob5welfdd0Il8A6bRaDSaY8CnHQj3A/JbujgxI8YYSBBQuCoV0JFS6TXUxGwuJyVcv3mjubUlk8ksL68uLy9ns1nOuRDi1YuXu7vJRCKBiHfu3DHrG73xIC9uqMgnESoouKbKt2kxxIlCSXvcwBAASCmJcSLi6sxKklJ+Xlh88/r1D9/99dWLl7mciESjFkmSUgLV1tYODw/fv3//q6++amlpyeVEmebN+eYNp6f7pNRYiO7nIoVx3em+u4FGo9FoNCcRHSfyI6UsUdtVhxW/OJX6iWjODlpldnY4rDFn0bZxOKqHfJSnoJS2XV/MVw2NmJpLiYoIpF2t3FkJEhFylp+fAAAYY5FIorOr+3d//x8453/5y1/ev/8opZRAguTi/MJf/vTnTCrNAC9fudbS3sYQLEtAwVBfIiI4UQP3wSepyENQOW17ZCnhntbq0FGJw3jiowahHJ/7UkE6oDPFl/OoTpkAAubELwyIANvZSS3Mz//85OmzJ0/Hx8dTmTRDAyXkLME4b2xsvHTp0t///e9u3bpVX98IAIwBkQTXewjtPbUduFQrAokqb5KIgdeT6Og4iruB/ww6V4G3S6gOBfOK8nxO3oe0YRqN5sRxEN86zZdFV6UsQMeJCgg+7DUajUZzNth/JpRXSQRoKykICrQGWDi/HXNBUPlliAgkARljTP3pvLQIDD5RWRGzrJCmad65e7e5uXFra2t9fXN1dTWTy9bU1KTT6RcvXqTT6ZqaGiHhVvROQ0ODTyUEnkceAUGxb+0PaEcgKjommuMnf8qIgJw2RrYcTJ1eIshZtDA///L5iyc/Pn7x/Hkml46YMSmlRQSItXXxwcHBe/fuff31111dXZYlLUsigmqZwR91o4ruT5+pKIkOEmk0Gs3pQgeJbM5snKjIO6hg3dMy1qBb0vGjXYo04eg2cLII3o1LeYsEqXTOcrYhXLcYNqfrTETgH06jqnPv/kn2FEcdhEptBCQBCBl3la1AHICISZUx5E7nYMuK4vH4uZ7uf/pPf6ivb/zjH//48eN7xymGzc8v/tsf/7SV3Mnlctdu3ujq6gSAXM4CANfMWo1yGWNSSvB4EoEbxlLG154HpGdInD8anhxt9yidzdHyF/MwUkoiIgLJlAwNVGkzZx6TMURIJnfHx8Ze/vzLzz//PDE+msmkCJjFZDaXZQavb6gdHh76h//w+5u3bzU1NRGAOpukbKrVb3mNeBDAqesHBd8etWosvOpc+QSXKmLR7X52rgOmrg8AfwJahWEy3W85ieizptGcbvQ1bnNm40R+3Ndu+kWQRqPRnDG+mIWKisuQlN4629KV+bjyBGVkHVAYqQ+JROL+g68aGprW19d3drZXV1fT6axpmsndnVevXmUyGcMwiCgajTY0NAWfcUQkARgiAZFSOKkIkWt7XEbERz89qwo3SOSCiJKEyFoT4+NPf3ry7MnTd2/fZjIpMxqxJBARM3hdXd2FCwNKSdTd2yOEsITlO6nelumbHpSqHeUuHh/effElmhU9Dse+gRqNRqPRHD5nME5UPDpYuXpIRxm/FNqlSKPRKA4xuFPKrgiK3fkLfjc/VnRsbhGRQX7ArFQezJXmQEESGhIwcFU8gIgIfq9rjkgAEp1yU45+RNUdY2jEosb58z3/5b/8c2tr87/9z//5cWRESlsotDA3/8c//nFja31za/3+g0cD/X0EYFlCbS6yvNexb9zrbqRjYOzm5RV5XOrh8ZfFftcl0T07EqWUEpEDgMEZAGyuJ1++ePHy519evXq1MD9vWRYyQwrIZDOc86amhouXhv/+7//+9t07LW2toEJCjnEVyeJZ+ehYnPsCQ8fbHip9+vvjwr7LzTvR3WtnikRERGYbwAeWyi+uvjrkLddUA/qsacLRLeTkos9dAWcwTqTRaDQazaHhC6+gnVHmn0cNHBH8OWm+ZfNVxrzqDACAIgYxRPnRbENDw72v7icSiZWVlaxlff78eXc3DQA7Ozsf33/IZFJCCIZGTU1NU1MTYyz46/Y2qMBRwAsZ82GjYlt4ivQjJ47gSZS2IZGNyIlUKvXxw4cfvvv+7avXM9PTuVyOGwZDtEgahtHYWH/p0qW79+89fPiwp7cXiIQQ4ImAFA+FnOCTznxZk+VbUhKR9yI+sUdAo9FoNJowKng0njQqdqwI9Sc6vgomx0mIJ2VVovNFj5VSN4cqaCG6JVQFR3YDCd5vD64bOnhr2WerIztxK39cfBWpQNpOQN4p6k9BxIh53Igl2JoRZz3eU0CEiBsba+OjYz/88Ph//J//Ojo6mhVWLpcBADMaaWlpuXnz5je//tXvf//7a1evAYBlSbUypmpXeaJUWOzqz0eFHGGTd4p3H4vvl72S/RUS1c50eez6W5DPlydPjplwohgcUMUDFxeWvv3L/371/MWnT5/WVlfT6TQgSoRMJgMMOzvbr169+rvf/e7OnTttbW2xWExKy3G5ypP3rlJ/UsHF7lGcea9Z/2evyuZgj5jyfc2C2wNFp/jCXsEAbtGlChZRUwJb4Ew/nT3Jo+Ok9VE1x0oV91E1VcG+biD6Ll2A1hPZnN54mUaj0WiqCLu+mOdPKLS+dmdwpUn2CFZFcBjzOaSo55eSCDU2Nt66c9s0o2vLK5zz2bnpzW2QUqZ3U9M705lMJpVKxSLRSCTS3tYZj8dVIAGJEwgghijL0VacZCHJKcFtMM758mSEISAiIyCind3djbX1Vy9e//C37z5+/Li9tWVZlmGaFkkgiMSijY31V69efvDg/p07d3p7ewHAsiw3ludzHQpSkRKnygnZTT0i1Wg0Gs1Z4/Q84AOEv3+uNEZ4Ot9Y6nc1mhBOVM/4dF6hVc4R30CCeoRSlNKYlPr24NsTRlCVENTUMPXwRVW9PL9OqcJDTmUpCYBEtjCHCFheSSRULpjMRwfs3yVCxOTW9uzs7A8/fPff//t/Hx8d3d7dzmUF5xwR6xrq+/v7b9++/S//8i8PHj00o1EARAlSSmIMgBgUhIoQ0VUG2QZLJfDkKKntKd4SDqYnCi51tq59n5IIAIAKFDHqA+dIBJYlRj59+vf/9W+vXvwyPz+/tZkUQgAwiZDNpiXQ4GD/nTt3fv2rr2/cuNHQ2ByNxiRIKSUDr1CIABgiEtmKId81XuKSz58vAgauhkgtUri1PvZ7Dyl1xyilJ7KXUsqpQhOikDWD/+rwUJ6e6Ky01YNTrX1UfR6rgkO9gRyuXjV8Ka1YOSaq9QZyktB6Io1Go9Fojg/XvYj8VkV2/EiFewiB2eohaecWuWtQ7sQAEHAsUn2ghoaGxsZGRNrY2KivrR0Z+biytpHL5bLZ7NrK6tbW1ubmZjwez+VyAxcGOzo6amIJw2ACQEqAwt6VN8zlrX0W4lus1UZHSkGQyDvdlpUhAGSz1sb6+szMzItfnj/+/oeJyTEpJRAjhkJYiFSTiLe3t9+5c/vRo0c3btzo6DgHCJYlgZHrpeUDEaQk19kKToaYiHk+hIWby2y0dlbmCdhxjUaj0WgOxCl+1FXmT+RLRC+xttMW99WhVk0IJ0pPpCjljqE5Eo5FT1Rqeqnqk+Urj0r5mByY8godgUc9VHJNaJsQufPYASMiAEnoaHaooPqSlJIhImI6nV5fXfnpxx//9V//9fXrl3Nzc5YE0zQJIRqN1tc2XLw0/J//8x9+/dvfDF+8bJocAIQUrjG2Wps7JFYxLNeZCMrVlRTuMYAb4wqZp4THjdyr9tzpv95VmxH2uWYAwGyJkX1KGAMgmJubf/Pq9V/++Ke3b99ubW1lMhkiEkDAUH2+evXqr3/9zVdffXX58uW6ujrGmH2iGar2RlQkJBRua11K0ePVE3k5vEdMiKNZSJOwt9YjDqKgKxN4LoGK6prtdRs4W+12f+g+qiaEKtYTha9f91SPCe1PdHC0nqgA/RZUoznJ7PHGWKOpKhAwKClS2PZDZJcZ85UeR0QicL8lr5805euX19bWNjTUWZaVSqXq6+tfvXoxO7+4vb0thLAsa2Ntc3t7Oxo1d3d3l5dWLgwNtbW3xKIxtUlSSneFvg++jSy18Qc7Nj70dQ1ge5n71V7qhR9TiVME62sbs7OzH99/eP3i5cuXL+fm5iKRCCISQ0sKEtTQ0NDTc+7BgwePHj0aGhpqbm4GACFEQS5V4AyWESQ68Zze96YajUaj0VTM6dYTFX336H5rT3ENQaHcKOPpiS/qdzWaEE6gnsjLabtaq5BjuYFUWrmy0oBCuIPAcbQfn6pIFQ4joKDOKO9e5FZAcxaxZ5AeEQcREEMAKeVucvv1y5fffvvt3/72t+cvXwohDMMAAMYY52Z7e/uNG7d+9Ztv/vCH/zgw0CcB1aqklAwNAFB11vJbAVD0yLjuRU4b8DrSOMuiROCeNRStQiVLH/lw9xnvlCC+3wqRnJRfM6vomh1KSkrySpZyrhcJvsCQ7UkknLWowCAiZNPi8Y8/fvfdd69fvJybm8lms5Is4WhkciILALdv3/7DH/5w69atvr7empqEG1UspqrO73WpHMN91Jb170uAyt/3VtoeCs6XZzPC2rbPycg9dyFSo/B1avbkZPZR9Rk/Jr5oH7Wcs3xY82j2yX71RO5J0efl1OqJKhsqVP1TR6PRaDSnE6+qyE4jKyEyyi/iJAEVNScqUAAhxmLRmpro1evXCTEejzc1NX349GlpacmyLCHE9vZOKpXK5XLp9G4yuXX9+vW+gf5z58411DdwxomA/FtTUrXnuhftNXJ2Ca7ndOmG9joA5fc9iou5GCICB5QStreTc3Nz4yPjvzz9+c2bN1NTU9vbm9FoFLiKHhIitre3X7hw4eHDh/fu3evt7U4kEgBMCOFuTDnjrrPZXyKiwojnGT0OGo2mbHSUQXPiOWV6onLeAfpjt3s5E51m9LsaTQgnXE+kOXKO4AYSrtcoRan7fDkcq0fAngEUGRoh8roUQTE9kXe60hO50xliNptdmJt/9/rN//d//J/ffvvtxtaWlNKVkxiGEa2JX7t25Q9/+MM333xz7cb1iBnJSbK3y6mtZmuL1JpR+m1rqPjeORO9/kRFFR8+jU855zToXlSqGlr5NWiCG3aYkDoOoSsvaAmE7qUmgBARZb6uGQJsbSWnJmf+9Mc/fvft/15eXk6lUjkp8ksTIYdoNHr//v1/+Zd/uXLlSnNzcywWq8i5ufBzeF8rOL04x+JPBBVd4yFdYudweVVyEhGPyfXsTHIy+6iaY+KE91G1S9GRo/2JDs5p1RNVgK5bodFoNJpqIMSxyMXrI+P77IvaAJKyuEZEbhi1EaO3t9c0TQLR0tb25tWrkbGx9fX1dDqtVru+uaVmnp2dvf7u3aUrlwf6LzQ1NQHj4ORou/5HbjTKV+nMuzEl9sCXxcZKJ5p9Wcexg/YRyzY0LziMzlH2fu2RiSEQEXfKuG9tbk5NzYyNjH748OnV8xdTU1PpdFoicM4ZY5ZlMcZqamrO9XTdvHnz7t27165da29vV1mHXguqUifrrCmJyhRVuRDRGTgqGo1GozmLnLIQSaXvkPMUe817+t8L6Xc1mhBO+LsazZFzjDeQPbUkFfHF6mSVmZDlixqErCpkYj7WoEJFzhtLKaXIWfPz8//X//jXP/3pTx8+vFtZWQFmMMYkkJSSBCTqavv6ev/u7/7un//5n4eHh5tamgmRhPD9FgPuWBIVgIyIiHkCXnkNEUoELO+AF52nHCVLKT1RqSnBNZczf6VIcCp/+QhGBlWkCAAQuKpGnw/MgQAABpwxtCzx5s2bb//y12dPnn748C6dThuGIYAYY+rUSynj8VhHR8ejBw//5V/+ZeDCoGEYhmH4GliwQRbVfwXmPHAc7Uj0RF4q3sISAnN/ZTQvxfqNpdrM/o7Y2X2/rfuomhCqso9avicRlDGn5kBoPdHB0XoijUaj0WiqCJ+Io6g3jW9+XwTK1haBQOQEEoEhoJTSMDjnPBo1e3p6/v7v/76lpeXFixevXr14/3FkbW2Ncy6ltCwphJiQFhEtLy9fu3btyrWrV69e7T7XrVYuSTpRDO/PMdfApajUqJACAVHpwfkp76VR4RHzYltNyfw3dkUzMBBgZWVtenLq48eP79+///T+0/T09NbWlipqhoiWFNlsNhqNdnd3X7x44datWzev3zh//nw8HofA2Qk2Nnc60dnVEwWCRAXfeqcUroB5JHIajUaj0ZxgTlmcKPhescLqJAXfQug8mv1x+lVami+HzvE+O4Sf5UrdUmRAQnIkrgH7G2mXyi/bc50MOJDKZZMAwBizZI6ImODcNK7futU/ODg4ONjR0WFZ8kMuJ0QuJ0U0yokolUq9evXq7dv3QxdffP3oQSqVikQi9fX1DA3GGIL9q+RsB5G0t8QpjqZ0KErY4slMY7DPcEOlA+9SPYHwSmrlrCE4pRynCQaFOWhK70VunXsqWMQ2g0Jbw0UAJBAAOGfLK6ufPnx88uPjb7/9dm5uLpVKEZERjah8QMYYAMQi0da2ths3bjx69OCbb77p6uoSQgghGGMlRW0MyYn9OaEiHtgLd99ZYErRvT4eDlMhWNqDSX3ri+hR4LfcUNFh3UP0E+140L1TTfkc5LrW7aqa0WengFMWJ9JoNBqNZh9UtXrF6wfkTlEfiEiFBoKqnKCTke1aLUHliyXq6oYvX47EYu3t7c+ePXv8+IfJyclUJiul5JwTUSaTmZud/f773OLi4rNnz+7du3f92s2+vj7O1fqBCIXH5gZQQjEra+fX99i7wF7s+4BVNd6dJdXwyN/21DwMkSEjIAa4m07Pzc2NfPw0Ojo6PjI6MTExMzOzu7tLRMw0GICqXIaIjY2N169fv3Hr5rVr1wYH+1taWgBARYioWJk8tRR5Pu+1B9V7pRwNlda31noijUaj0Zx4TmWcaD/vcM6CoFqj0WjOBqUGaSHTvW7KVaWVAFAJXYjgtR9SehMqiAG5gQA1T6HsiBMR2MIikFJYlkDEppaWuobGoaHh8/39RIJzvri4uLWTJCLDjACxdHp3bGxsdHT0l19+mZ+d293dtUS2t6ePMYaMGGPOml0kSIaIBAV5Z4gIRSy67ee1ypIDKJDVEIlAPakge9fCc9ZTPkEvHu9vHcj1BjwaIgIKVj1TJ5EhEggpyJI5xtj61tbczPybN29+/O77d+/eLSwsZDIZHjEZZ1y5ETE0DDMajSYSib6+vr/7D3//1Vf3uru74/G4lFIIgYjKgpzI76GDjBGQChTtdaBKRUCqIXJUjlvZPmreFf2Vw5pNo9GcXIL3E33ha04Vp8zH2svez3vVZ9pr2dN8zX8Jj0Ct7D0xVKVHYDhffjx/pviiPtbhtaj3t/5SVdWDv3jc+CpnuR7V7ti+lIeRRz/CCECAUKECVz2CyBFRSrm2tjYxNvrq9YtnT56+fPny4+hIOp2ORmoAQEopSEYika6urv7+/sGhC9euXL/31d2hoaHGhkYAIAIpiUAQESIhMXA1TQgAwADtrxBdrZMnBiQhL0cqOM6+ecqj/FywUuwdewrPOyssV+aXg8nCeBkikiwIqCECIiBAKpWan5//+PHjyMdP4+OTc9MzS0tL6+vrqVRKABmGwU2DiFRds46OjgsXLty5c+fmzZuDg4Pt7a01NTWMMSll8Gh7a7p7Y457HZPDzMc8mkdMOZGgSuNE3jyySn9XP5X2z/H2UXXv9ITxRfuo1dI30ISgjfAPzinTE4W/Qw5GfCnwzjDYE9L3gsPlcKrG6HNxVgm/HnWrOK2U8p47Cko9L77ks8DXr0GPtii806PSzGy/ZMy7z0iSKnYjwSJJHI22ttb29tbevvNNjS2JRB1wtri4aGWyWWEJi0wAIpqamJydnnnz5s3I+4/b25vJZLK//3xLU7NhRJjBVS12T5017+NVIgIAIwJEFUWyv1Ae2ER+MVGAcryBSs1fzvkKjxWW3wbsvZNSuruvlFx2tI5InU63+0FEKuCnwklCSsuypCV2d3fnZxc+fPjw008/vXnzZnp6OplMmqbJOUfDNBEBJBJEI1EzUVvfWHfx4sXbt2//9re/vXr1qptlJkQOERnLq8kUXu+h0kqiw63bdRSU/z7/6PxEyvHEPAi6F3o8HNax1X1UjUK3BM2J55TpiSqNEwULspTqERYsdWo4maFWfec9JqpST6R7zFXEsd9AvlRs6MvHibwU9SEudbUSEYIkIgIGTAWGgCt5iyRwcqBUhXvGMZNOr62szs3NjY6OPv7ph8ff/zAzM7O1k+TMNE1TOeCYpllbW9va3tbTc+7CxaFrV67evXt3YOBCbV0dASGgJCmEYICI6GhV8hXWvWlxhRtf5PyWyDs7fG1Lafb+LW9+nPdEBD5Lr37HO4Pyn1ZRvFw2Ozc39/79+3dv3o6Ojs/MzKyurm5tbaVSKcuyVDAOmSHJIiFrampaWlpu3bp19/6doaGhnp6e9vb2uro6d+V2AK5wm4MXaai2+qiO7WE8YsrfwrI8huykP1Z0tvJVSKXijPujWu48x4/uo2pCqHo9kW4JX5iTeQOpLk6ZnqgUJa/SoqVPy1xWc+wc9Vs7zUnheMaHmtNH+Tll4dqlSn1ti+PLJts35Ak9KJy0MglAQAyIwPHEYT6vaAIElERAJEgaEfNcT3dH17mBC0MNDQ0c+Pv3b+fn5zc3N1PZDDIGAJKstY31haXF0dHRkZGxuemZZDK5srLS09PT2NgYjUajNXHTNO3SbJ5ddeIpHIpHu4rG43zP6INrW2SgGYSvoRytCiMCQCCggtOp4nHECAQyJF9KHQHaxuJoSbG7u5vLZHd3dxfm5kdGRn755ZdXr15NTc1sbGxwzrlpKAMiQAmIyCgRS9TX17e2Ng/2Dzx69Oirhw+6u7tjsRgAKDcisFPYODiZbv5SXfnNPLn95qO4/zOPDVM5OY/l69o0pxvdRz1r7OPps4+lNJovxhnREwUJHxWclVHoSQu1nn6FV1VRxXqis3KFVjnVYXBWKW6DOcRVFeX44kQQtLxx4kREhMSISImJCsJJ0qN2UToXEIjIgCvLm2Rya2lhcfTTh1evXn3//fcvXr9KpVKMMcMwgFhOWIyxWCxWVxtvaGjo6OwcGBi4efPmrVu3BgeHmltaCvZUSiLlXoTKESlsV/IU0WUgYlF/6xLO0/6VO402eA+xk+WgiNCpyBTfT4MTqvNuRkHBe5RexyhE5MjcOTOZzNTU1IcPH96+fjMxNjY9Pb2+vp7c3U2lMlkrxxRoAEqVzsY5Hxwc/Oqre7du3bpy6XJbR3tdXV0sFlNV6oLbQCoi5dn28q7T6tcTlU+lsd1KnzVHd6y0nqgA3UfVKKpAT1TpPUH3Wo+Vk3YDqUZOvZ4oPB4UnNPrSaT9CKsBrfPSeNH63rND0XPKCu8J+zjve+pH3B+CymNJ5eQ+5z+X31vxdnbQ94VjQlwqUEIolSsROPlfdt0r70yoIkpAUgqQAGAYrLW1tbWltaOzraWlJRqNxutq5+bmNlZXNpPbliUMjoCQTu8mk8npmbmJ8anJ8anPS0trq6tzc3Pnz/c3NTUlEnU1NTWxWMQ0TTctyxvCKLbN3qzwwm/QlsU43+aPts83ugSy1LhCrcOztgJnJQAgYkGzcNddyPvjRSJKqHLuEBGZffYkEWUymZ2dnVQqlUql5ubmRj+NvHv37u3bt3PTc+vr6xLBiJiMMVuZBUAkTMOMx+NNTQ3t7e1Xr159+PDhtWvXent71e8Ikq6SyLcNSPsLR5YTJamee+/hbkml/lbVcAQ0Gs3xsL97gn7HqTlhnHo9UclYT/A9YWDx0x8nOgmhVh0n+mJUpZ7Ii9YWfWGO+AYSHq8PnydknaySXJLw2cp5D7E/bYIfsv9ViWPo/wIL0rg858UbGVFhGuH57ImMKC2MKKgHj4gMKZfL7e6kt7a2Zmdnf3z8/U8//PjmzZu5xQXOOTcMVTxNSmkwHo1GozEzkUg0NjWdO9dz48aNmzdvDwwMdHV1tbQ0Fdmp0O5HQXIcohOvKSUa8h/P4GzOvnvnL+U3VBAnUv7Tvm+965eOCsndZm91MwBgjDlFzOzFpbQWFz+PjIx8+PDh48eP05NTnz9/3t7ezmQy2axlWRYh2CoiRAKQUgrLamxsHB4eunPnzqNHj/r6+hobGxOJRCQSYwwlSAhklpXtQ1QEz0E4qjjRYT9iDr6d1fkc0XqiAqqmBxJE64mOlarvo5aiOu8zp5CTdgOpRk6ZnqicXjgr8pYyv5R3PaXWrzlOSik2dYxAU+n7Xs3J4ije4QfbzJ4uJEEFEyv90+X4HxXf5vAcNEeFIhBRaVsKvlBrcAb2bsCCkBFQYbYRl1I6S+f32p4HOYBdFUsCqUypiBmLNtU0t7Z0nusyImYiXtfa0T72aWR+aXFtYzWTzkkJjDEJtJtObW5vWQtLpmlOTE2vrKwsLS11d3d3dHS0t7c3NDTEaxOJRKKurq62tjaRSORjLZ6dJxUOI9s3yd1NJAb5KmlS7R04CinnCBT4SSNiYRyNgWvkJL114gtPRGHPkgj9p4UhFU6yVVoSEREYAgDHgriSlHI3k0omk7vJ1O5ucnt7e21tbWlhcXx8fGxicmxsbOXz8u7uLqGMRCKGEeGmAYwAgAQBQLQmUl9f39rc1tvbe+3alRs3rt2+fbehoUGtXwghpZ1Z5jnRRZpSqf6xc5AkOBmIWDBz+f5NX5aDb2f17IuX6twqTSlY4FGi+6hnmTLPfplKZ43mWDlleiJFGa4QRN5Xf44AP3wAcAo5aaFWHSc6Vk7suxrNMfGFbiCH6ytUKk5UKuJT/mOisvtSOV5FEgQAMODeiQHdjd8uBwplJq7ySEr1p/AsiO6UfDyF7BiElJDL5bY3Nz5//vzh3bv/9cf/9ezZs8Wlpd3dXdOMKuWLlLYiiXNumqZpmoyxSCTS0NDQ1tbWc753aGhoeHh4cHCwr6+vrrauWCV2QjuzrGC7vSoqVTusME5U/FmgVkCF0TRCQCpoqF598R6dIoaOHTgCgJT5XHUlMwKGDJlvv7a2thYXF8cnJybHp0ZHR6emJhYWFjbXN3LCsiwphJCWIATGgBmcASK3Q4EiZ0UikZa21uHh4d/++nfXr1/t7OxsbKyPRGKcFxSPc+rKFfzunpEje1k1Q2Gc6BjQjxhNOLqPqgnhhNxAynEp0i3kSDhpN5Bq5JTpiYL5CAr/1Yied32IWGj+4FuDvm6rH32ONJqzzEHu1XvmoMnCD958tOPWWWCxYBIiuibWKqQT9OpRkREoyL2yZytcpf84IKKyEQIAxnhtbaK2NtHU0lpX1wCMdXV1jY2Nzc3NLSwsbG1vZ7MZUDXFiedkbnd3N5fL5YQFALFITUNDw8zc7NTU1OjoaE9PT1dHZ2tra1NDY11DfV1dQzweTyRqEomEYRie0Efx/pwtqnKSukKCOwXOQVQQTCEiVNbeyPMKrMB6CAty99SyKokMAJAzBERP5E4Ikdzd3tpKJpPJra2t7e3t7c2t5dWVz58XFxcX5+cX5+fnFxYX19bWspmMaZqRSMSMREyDcc6ZwRERJIEUhmnG4/H29vZz586dP39+eHj41q0758+fTyQSAACSpJT+IneIQOTupv8rd4+KHCc9ptVojg59NZ1NdIRIc+I5ZXqiPb1s3BlYYVHeos5Ep//qPWmhVt2XPVZOyLsazRejavRE+7gb+GYO9xXyznZU2Y7l1T7z76lXOlR8tR4nYyXD8awr77jMAp0BO/Yk83EH2/2aCACkJYTIraysjIx+fP7zs7/89dvR0dGNzU0rl+OcI3AiUrbKalmOBiIyw9YZGYYRMczm5ubzPb29fef7+/t7+873dvf09PS0traaprnX0Sqyg5CXBvuPj90mZVG36/w59QmNbRg5oiF7zYWO1P6NWVtbm5+fn5iYmpiYmJycHBsbm52e2UpuZzIpO0GMSBIREUNkjDHODcMwOBqGYcuIpDA4T9TWdvd0PXr4zd27dy9cuNDa2qpEW7bVUVAnhbbEydV/eQ6L3/q82EEAVHl5ns9HjX7EaMLRfVRNCFV/A9Fxoi/MSbuBVCOnTE9U6s1weJ6Cdko+Eez5wr/Se7G+O58F9NV9FtjH2SwY+ZehDHJvFyFz+tZZdIaSixf2XErdnYq7NVNxSawzg/QqZQo8iWx9DSLJfLzJl7vk5q8RSSI7ShKJmYZRU5OIx+I1dbUNLW0do6OjU1NTs9OT8/Pzm8ltISwChtzOwCICKWU2JYhIqNwvSatrG+vr63ML8+Pjo62tra0tLS0tLU2NLXV1dYlEIu5Sm4hGo/F4bTwej8UijDFvTK2wz6eORolvmf2H6y5EAAA8PxFR+fL4YnaMFST6AYAQlEwld3d3d3ZS29vbOzs7W1tbW1tbm5uba+vrq6urK59XP3/+vLS8uLS0tLa6mslkiIhx5f1tGIbBOVd/KpSyyUCoqYl1tnd193R19/T09fVdunSlv7+/raXVME1AkFJKIEnECvaa2WcNEUC6QSIV8ypiZR1SPu+4Ms6Ok2AEtlRMttLpGk15HNxDXfdXTyJ7P8E1mirnlOmJFOW4V9g+l1DwBnLPXv5p4+SEWoNZhOHvbXSc6BCo+nc15aDjREdI1eiJ9reGciJEFb0fPlCcqPTv7g3lPwTSpojcNCvf+m03IseHCACUB7P6bNfwcpYtKI5WmKKllEoLCwtv37796aeffvjxu9nZ2Y3NbSUmUssicDdsQQwRkREgImfAGAOQSifDGItGaurr65ubm9va2trb29vb21vaWpubm1taWtra2pqbm+vr62tqapQ7T1kHpzBW4o75yXO4WGFKX9G4gKM2glQqvbm5ubLyeXl5eWFhaWFhYX5+fnZ2dnp6enl5ObmzY1kWA05EEgS5Gia0UYIgxuwwkYoZccZMkycSifb29ls3bt69f+/KlSvd3d2maSr1EKqD5ZwjEtLnM+1UYMsbLe1xWAr28cvoII7nEVP8bOo40Ung5PRRFQfxJ9Jxooo5RX1UfWaPhJN2A6lGTo2eKHw0WNyryFGY7+lPofnihEfl91fHRN+XNZqTSPgd+3B7XaXuM0V/Zc8fLWecUOaqCsD8h7xXEQKW0hkRMldkhIWvixzjHUBZsGxRDyDlV20YBmPsXE83clbXUN/X1/fmzZs3795OT8+urq2RlEqPoyJEBMAB1bZJKYUggiwRCSFAEhExtrm+ubGytjq/uFCnqI3H4/FEIlFX2xCPx2OxWCwWi0ajkUgsEomYUSMSiUTNSDQa5aZherBlO4wxg7sZWwwN7+6oYmRSSiFzUkqRk0KInGXlcjkrKzLZVDabzWazaUUqm0wmd3d3kztbu+md7e3t5NbOxsbG+sbWxsbG2tpaMpm0rCwAOCohdLfBGyFScMbUt7FYrLW19fz58729vef7+gb6+3vPn+/o6EgkahEBJFjSyh9zCrpuS6cV5PPRiiqJvH7Vzncq18zTL/JcX4XTQ6nKUEqRjXLiQ1j4bfjml94tPcbTeCn1vNhfH7X8bzXVTPhdQp9ZTVVzauJE+6TwjZwOFWk0Go2mTKqokG0+iOM807xBIrcOmh0cUeNkJ1DiDZoQkVMz3k8wVERElmVZlqWmt7W1tbd33rhx68LF4YamZkk/bGxuE1mGwZ0nLAEAMsYKgh0moASwdUxKfpNKpVKp1PLysnICIrDtt1XtecMwotFoTU0iXpuIx2O1tbW1cfU5XlNTk6iJx2KxaI2KJUVM02QGz4eN0EBXe0MkpbQsSwiRszK5XC6bzmWz2XQml0ql0rupZDKZ3NlKJpNbm8nNzc2NjY2tra1UKpW1coheMyMmEThgLBYDiLgH3BUQ5WNDnAOAE7FCRIzFYo2NjRcGL9776v61a9cGBwfj8biaOZXOcOVGhPkz4nVcKrRZLNIkyplNo9FoNBqNJsipjxOV41Wk3qeBo7nXnAKqZfCm+dLolnBaKaUqCnmL65YwLyfjLLigb82+tR2cfa7HnxFWrNy7Sv2yQ0QBByIJpDQmING3oPunG/jwzoCIeY9nEgwYMhaLxYaGhiTR2vrmzNx8eneXMZSAQlrMrpvGEJGRUqwIACBiRCTsHxUAICRIKQmEilsRkZQqGsXUxnDOOV+PRqOmaZrRSMSImqZpmtyImCY3DMNQ/yJnnHP7X0TOuYo0eXdNSqkETYpcLieFsCwrl8vlcrlM1spms9l0JpPJ7KZ3MplMLifUNnjCQMA5l4iMMWLIGDPQLmzPOWdIjBmAyJih6qUhcAQEREDe1Nx869atS5eunO8faGhq5maEc4PZnRH3RDGlD1OO476TorBDQsU6Me5sXg1R/uQ7U7BAQ8SgPHmQrcSpys5TsWCn/V8qPlmj0WgOF90L1ZxgTn2cSKPRaDQacII7hxjWqWoJapnmg05koeTuFPdC9ghV7A9EwrKsbM6yrKbm5uvXbz5/+aahocFgjDGWE0JKKaQFdpyIGIEkC9F0IzWSq9gQIyKSSER2zEJ9RkkklLmRK4zK5XLpbIaSRFJ589hxJd8RkOBR1hAruke+fbb3ERGRK4cgQomIRjRimnZZMXX0lNjHBZQ/NZJtP8S4E04yyLXSJtshkQASiURPT09vb29zc7Npmul0mgGYpmkY3L+RxDCfVgiMsUPxlySisxYmOX2unBqNRqPRHDqnOE6k3eA0Go3mrHEQl4eiDkF7BoNKPVOO41njixS4tbqcr5nHgFpCYUUzx8HaDrwgMu8I2utvXbCUxxzH/gCSgAiQcTI5j0Qi0VgslxORSCwarRG5nGmarmDHsnKWlZUkABElABFDRM7JqeFFDlJKIoNIiY2IQBAxpS0CWwcEACRBSCk9cSJh+3Or2WRBCISIEGV+FwAQUUjlCa0UQPnTrXaQMfXZGwwqSCtD25mbmGPQjSAZAEghSWIETcPkRkRlvRmMc84BmASyLCubze4kt8ZGR5saGwcGBpoa6vPV0OyMM/UrHEAq43HkjEgAMAKwraRsV3K1Vcx7vvzOU7ZiSO27rRvyBKP8GqJgWbSqtCHag+A2l9z+io2sdU9So9FoNKeWUxwnqhQdP9JoNBqNl9OgGHJn9mWN5XNwCB11S2W/iI7SxnXqyVkyk8msra0tLi1vrq2bpplIJEzTVDMbhsEYSmkRCAYopSRCIpJEyupIeBK+1Ie82oiAiCRKENJruMOQIaLkjIg4IJETK1GbSnYtsOJ1TwCIiNtHxh8nkipGI9VEFQBiXumQazlkRrhpmpyZEdNkBpqmaXKmIj7Kb1sdAcuyRM7K5XJCkJQyl8sg0s7OzqdPH+rr6wcGBuLxeH19vYoTOaEod7MZIoXXqCUitE2aS1qYazQajUaj0ZTDKY4Tld+/1xEijUajOYkEXYqC9/Py9T7hnkdBtdFhVqgpVqe8nPX453RUJAw9NkQqt4iISuXdFfW1AQBg+cAEKfkNSa/1NWPMMAzGAIBJCRsLS58+jr5/9+7D+4/znxdroibVmCbjlmXFYzVd3efOnTvX2NIcj8eihmlZViaVzWaz6WwmnU4nU7vr6+trays7W9ubW+sba+vZTCqXy9lxIrD1QYjOHjAJAEgcgFRBNUAAYMplyan5ZR9b15TIGz6xrY4czyPK1z8FRGREqCrIAQIRSJS2Hkeo+BjnPBKJRKLR+vr6xsbGloamxsbGhqbGhoaG+vr6+vrGurq6WE3CMAwp5fbWxvj46OT4xMLczNbOtlIVcTRyIru2sf7q1atcLvfg4cNHjx7V19eaJpcAkgClyoGTSinGGJKUiHbGGdk2Rsy7S+6/VMS7Oq8YokDVs1IElTjF5TVFS81XARVsVOUFzzQajUajOa2c4jiRRqPRaDTlsrdtTZWBiOUrigr0ROi3st7rVzy5ZgRKSqPWKYTIZDLpdDqVymxubk6Mz7x58+aXn3/5NPKxtq6uo6tTFRqLRaKtbc0Xh4f7+/s7O8/VNtSbjAsh0rvpdDqVzmZSqdTWTnJ1dXVl5fP2xubmxtrKysrGxkYqlcpmLcuyslYmm83mBEkpQUggkiCUk5H0AChJgKtRciMm5IimwCeqAlAORODJI/MWsOccGWMG57Z2iHNuoMogi0QiNTU1dXV1jY2Nzc3NbS2tLS0tza0tjY2NjY3NDQ0NtXUNsVgNMCZy2bW1lZaWpkRN3GBAbDa5vZvLpC0JOSuXyqQndibW1tZS6TQiDg0Ntbe3JxIJIxqJR+OqQpon/gPSTpQ7ECepoWs0Go1Gozl2wjTMJ5BS1c28736Lv1s+iVn3B6e4FP9EjZRKUI6mQOvI9qDUzeFUtBDNIXACbyAl7wOB2uFBRU+4RjXs+VIO5T2D8ut35/fVO7OVQcR80wt+y847UwY/6H62HYg826+0MwxI1TWTUjJmcM4Nw37JtLm5OT059f7jp48fRkbGRpeXPm9ubq6urqZSqYGBgaGLgwg8Ho9funzxwoWB7u7uxuamaKSGMYMx22PIySwTQohsNptVYaFcLpVK7ezsrKysbKxvJZPJ9c211dXVzeRmNpuVOekmqan0tEwqm8lkLJEVQggpVdqaEAKctDVfWp1jrWTHgACA2bbTZiQSMaNGJBKJRaORSCQajdbU1CQSiXg8nqiLJxKJukRtXV1dQ119bW1tbW1tTSIe8WCaphExTSPqpI9xdcCz2XQqvbO6tPzx0/tXz1/8+OOPMzNzEiAnrKyVIwEAUFdX19ra2tvTNzh04fbtm9evXx8cHIxGTeesARGAx18pSN40yilsZ3sVIWKx5LvCq9XbesvtKR2k76QfMZpwTuAjZt/oHmnF6BuIJpyzdAM5Kk69nkjfczUajUazNydOTxTEp5fBwqpkpWx6QrA9rsF2ceacE2HKYX19c35+fvTTyLv3H99//DA2Nr6zkzQYz+Vy0WiUMZZIJJqamtrb22/cuDY42F9XVxeJRKRkKnKjVmmXP3MkPIjImIp/QSZtbWxsbGxsbG9vb2ytLy8v7+xuZzIZKyfdIJGKE2XTOTdOlLMsVd5exYlchyPyHBbMlzNDpRVCxgzDiJimYRhmJBKJRKKRSDQajcViNTU18Xg8kUgE40TxeNzeXPcUABCQFKD0TU78ESI1sYbGuqaG+kRtTcw0dnZ2AGBuYWkntWtJYWWFZVlra2vj4+Mjn8bGx8c/f15cWlqamZnp6elRKWyJRI1hMFKmSXKPzHolGSuZTuhpMCe9zWs0Go1GozkKTmWcKNyNoji6o3S6CJ79cqZoNJrqoVIP6XKu6JL3AbuQlX96KVVRuJMRlJjz4DpWBm7akScG5Na3Unlhagble+xTFdkhBo+SyBs8spVEKL2LAIAEpbsxEJEELC/Nfvz48cWrlx8/jEzPzqytrKZSqd10KpvNMMYJUclkpJSRSOTKlUuXLw93tLfX1tZyzokIQDJkavsRECQRIyklApCU3jOBHBqa6mvr4kKo+I8lhFDu11JKAJnXCUmUUhI60qFi+M6aG5ZSDtaMuQXObOtrdwbu4BpXu58FSWa7CJH0eB9JIAICJET7GDKAbDbLGGvv6IhGv2psae3t7f3X/9//2B7ZklkhpGScR6JRIUQ6m5qYGl9YnPvh+++bm1r7+/sfPLx/79696zdu1NfXKhOmgpAf2WcNEUmqGmnKR4kRETKnTF0gRMgYsw+N3X7UmvMtrRDlZ+SfjoF59LNVo6kcfdVoNJqq41TGicrxJdVoNBqN5kuyj/cTjgwnzF8omGTk/hnUoYQrjFQ0BBHT6fT66trm5vbSwuLHjx/fv//45u3b8cmJ5eXldDrtVnMXBCSlYfCGhoaenp7h4aFLly72D5yvicZdFQwpI2qJhHa9eQL0bgyRqjCPyiSbxyJlHBe1n3vPWA5lqmxsg20plXe4irZ4I3cK9Cq8AOLxeCwaTSQSJuNbO8mmpqbJqanl5dXt5C4AcM6llMlkcnVlhYhMIzo1NbW5tb68vDw3NzcwONjR2dbY2FhbW8uQqZ/Nx4vILojmbjsiQonCZ4QgC/VGbiPRIiONRqPRaDSnxp+onEhQ8E1vcPrZQqduakLQud+acI7gBlLKPyhIKb1PcUgZwIAtFXEmeuyZq4RQAxhpl7PPWylJICJiUFCVjIhsjYm7DiLHg8nrbpM/hiqIoyIFSoGiggUMDcNgCLCwsPD+7Ycff/zxl19+mZubW1vfTKfTWcvKWpaK/iADxhhZAgDq62v7B87/P//v/4///J//0N7WEolEkBmlThChHaGw07eQu3unNDK2TqpgX/KoSJPrN+T5phzHKN+3MrhUgSDL0W2pqBARoSPW8W6eG21xNkopdey1IyJIklJmUumNjY2Xr57/+c9/fvrk2ej42O7urmEYktDNlWOIqqqayuC7fPny73//9w8fPrx85RrnCAAEREK62+ae9/wR8zpPeaNXzib7jq1r6V3iiAWPWxHPrPwKPZ+LTNePGE0o1dNHLTVS0i31C6L7qJpwqucGcnI5xXoirSHSaDQaTRVTpgqmxAxEBGjnmoX9iCdsUUow4g0QMIaMMYbMsuTOTmptbW1hfnZ0dPT92w8vXrwYGfm4sbWZzVjcNDjngAwRJQmSwDm2trV0d3f3D5y/evnKgwf3u7u7Y9GokJKohFaF2bEXUDloYMd6nDiRP6LnUBDHUfGUYrOBo7vyW3o72+D9VrqfiVRBMX+uFnn+U1Su5f5ZuA2IABKIu9MZmtyMRqMNDQ2GyQCgtaX9/fv3UzPTS0tLGxtbO7u7KnMQAHK53M7Ozurq6vzs3Ob6hmVll5aWxsYm+gcGus51NDY2RgwTnIghkWMpRWRH/VQ8C1TAbY/3groDrdFoNBqNRnEq9UThzhGVKo9OMzrUqglBv6vRhHMsN5BwxdDeHkCKYpua96kpFBaF3//L8b/b3xr2QEKBbsj3FXh0LgAl6525URJ3il3ujAQ4546jYRgMALa3d6YmZ3766afHjx9/+vRpYWEhnU4LISwpggoazrGuPnHj2vXf/e53d+/evnTpUn19o/LxsWfDgi1knlwz22/bqcwFrtdSaRBRSst7vtydKszJC3hCKbcgZquris7jO2hBARp4jnnR+Z3PBdX0AACYZ1VSZQJauWx2dWV9amrqyZMnf/vb3z59+rT4eUkIwRhjwAFAkK35QkTDMBoaGrrP9T76+sF/+k//dP369ba2NnDiRLZlky1fYoi2PZFz1KQ/hhVoTQXnokT3MPzU7KEh8kzXjxhNOLqPqglB30A04egbyME5lXqicJiWGmk0Gs0J4cjv2IeRfXbkzxRZWgmiVEWlvsJiNc5cvYk7RdkzM2SS5G4ytbq6urCwMDU5Mzo6+v79h48fP3z+/DmZTCKiGbXdgoTIIaJpmo0NjZ2dnd3dXT0954aHh69fvz44MNDa1gbAhBD2LyIggKoyZu+Lo3zJB5KcqmrBYJZL0EPHUc2gZ3f2Vs2EvyFDT0GxYKtwf7HUdhbdbCSQQN5C9cARJKmSaol4XV1dXU1NTUtLy/j4+PT09Ozs7NLS0vLy6s7ODjBUR0kIsbOzk0wmtzaTlmXt7u5++PBpaGiov7+/q7szEU8gBwBQgTwiAcArzYzR5kQajUaj0WjgFOmJgoRXoik1fzkeRuHTT5IWSYdaNSHodzWacI79BnI4XkXu2krkCpXzpCj6u667zeHrichxR3Z9fLwSIa/vjD2d/N46Ui1LDAAECABgIIkIgQMAs6t6YTK5Ozs99+rVqx8fP37//v3U1NTu7i6h7dnsOvIgI1XOrK4ucfHC0IOH9+/cuXP16tWmpibGGOOmMsAGhkgMQNqpV44/lIpiICLZNbbcyJXXawjzUiMqCCGBY8jNGDvYk7esZd1MrqLfFs2JK2hayjOIFVwX+VNWWKJNCLG+ujE5Ofn06U8//fTTmzdvFhcXLSkQ1ZF0wkzAAcAwjM6u9quXr/z27373m9/9uq+vr762johcwZf3GIKnkau4VfHd8SiJnPmLqPZCL/PyXcP0I0YThu6jakLQNxBNOPoGcnDOoJ5Io9FoNJoCPAoRr39N+Ry5pMj2nkEE8ueRFUkxK6YhcjdV7Z2yIeKME8Hmxubnz5/n5uamp6enJ2fGxsYmJqcWFhY2NzeIyIiYrp4FJEWiRlNT8/nzPX19fb29vX3newYGBnp7e7u6uhjnACAlSCkJVTgBvZIWnw7Ice9RYaCCmIKU0pUaudEi99tCAdHREi5r2nt5VuAMZMduyDHwBkJEVVRO7W88lojH4/F4rKen56uvvpqcnBybGJ+ZmVmcX9rZ2eGcI2cMUemJhBAiZ+2mU5OTkxcuDl4YGBoY6Ovo6EjU1qo2KSQph3Jv9lzIoXPaT7mXgBuQKmdmjUaj0Wg0J4VTqScK76+X9Z657DlPNjrUqglBv6vRhFOVeiKfxjNY9qsIvtShQB5T+JYoSYv760UfHAd9pnjlIQU5aB4/GjUbyfyWK+8hVT7d+xkAAKXSHJmGsb29PTUx+fr168c/PX337t3c3Nzuyf9v6AABAABJREFU7q6KWdjV00AiIkMkokgk0tBQN9g/8M2vHt29e/fSpUstzW1SSmB2Epl76EodQCfoI4gIvdXN9jhupVQtSr8T6phTLDLiiz25cSuPrfXejafYxHzbIGRQrLKYt1ZasXWqIwnSEjs7qcnJyR9++O6nn356/fLl3MKClGrDGIFTywxRCGGaZn9//83rt377d7+5f/9ud3dXXV2dEEKqkBqpLSNv6M3dhiJuRAz9U5ylPBeLv1UX6o/A922xPdWPGE0Yuo+qCUHfQDTh6BvIwdF6Io1Go9GcCMK9ivYzIvV+G0zPqWTD9t6GivC58HinKHWOqxsi75+Fpst2NS/yrhMZY6bJAWB3N/15aWl0dHRsZHR8fHxyemp2Zn55eXl7e1vFHZR0RUpLCME5r62vHxjou3jx4uBg/0B///nz57u6ulpaWjg3AVSpd1nRMfRGlIpuf3B+R5rk/Te/d74fLbUxRfMNHUFZ2NZSwJbIF2FUaygRgfL8uq0L859cd36VtMc5b4xELvALpsn7+/u//vrrsbGxjx8/Tk5Ozs8vZjIZwzCQMwDI5XLZjDUzPZfLWCsrn3/55eehocGLFy8ODw93dXWb0SiCyhyU4ReCj+AhLVRRaScjjUaj0WhOLadMT3RYtcy0nkij0e9qNHvwhW4g5dY487JnnMjVWVS+DfkppPx3ypo/jIKwgi3RoPxnZ578bMQkAkq/m7JXQ4SMiEjVQUPETCazMLf4/v377/72t+fPn8/NzWzvJBlThslc/RYicgaMMdM0E4mac+fOPXr06OHDr65du9bR0UGEUlqurxC4pcocjY/TEpj7WSmhnEpn0vetL1pHhfXICtuVX7FCdr027n5WqCmljq1r0kNErufOnp0irwaHKH9eSmpzAhD61UreSnCu9gccbyPDYJZlpVKZibHxb7/9y5MnT96+fr28ui6lFEKoxQjtGFAul4vH4wMDfffu3P3d7353/ea1jo6OeG1CSonoKT9H5BR9U4cClb5MtZOgtih4BKCEyXfYnvuOg37EaEKpuj6qd3N0I/3S6BuIJpyqu4GcQLSeSKPRaDSnnGDPoKioBALRiuMnqEMhIiUK8nZ53IJcoGIKJYqeuRoiw2QIKCWsr6+Pjoy8e/fu08fRiYmJ2ZmZlZWV5O6OEMINq0gpBUlEMmOx/v7zV65cuXjx4sDAQE9PT0dHW3NzMyJXHkdSSsdjqADvFP9nW3FTpHJZYA1qCpVjNe39HHISC8+1DE4vutQeAxIsqR4qvj0IvLClOb/t/BgR44xIBesQAAzDqK01+gcHTJNfvnx5Zmrq/buPz1+9nJiYWF5eVvmAyJmKHqZSqdnZ+Ww6MzU11T84MDw8dOXKlSvXrra3dzJkACBJFsQZvW1MtSvyb3yJA+g/zkVT/DQajUaj0Zw4TqWeqJzaZBoAHWrVhKLf1WjC+aJ6Ii+l7u1hKp6io99SwaN9caC6ZuDoblQ8yKcw8sSP/Ot3qmJJX1aUlDKTyWyub01PTz/+8cfHP/30aeTDysoKInLOATkiMiQAYIwZhhGNRmtqoi0tLbdu3Xjw6OHt27f7zw8wxoQQqvaZT4HlBgh8NchUrTCvrsfrYuPUOwv3J/ISrG3nn+7qm0LwOeyUmj+Y9+fizTsjBARUERZ7fkf/5WlXKimviOeRGyaTUKDlcc+y+uB6XQshtjeTL1++/POf//z8+bOJsbHN7W0AyOWEkncBIyU1yuUyjY2Nly9fvn//7m9+85vh4eHm5uZ4vJYxhpwhoqO9YgBQ0JawSATNN+XgqiL9iNGEo/uomhD0DUQTjr6BHJyzEyfSQaIi6EtIE4J+BmvCOUFxooqedIcUM6ogTuTbvKDPsRssUNGE/CKBOJHj6CwBQJW6B4BcTkxMTLx59fbd27efPn2am59fXV3d3FrPZDLIGOdcpSBJIQDAMIzu7q7r169funTp4sUL586da21va25urUvUKtGJlFJVtXd/NHB87JiIm4MWdDv2ZoqVZj9xovKPuZN3Vv78xbtMwVwzbw6aB783dtFVoWM85f6u+y9jTJ0pkZObm5vz87MzMzOT4+MvXrx48erV3Nzc1lbSMAxuGogopbQsKxIx6uvrW5tbOjrbBgYHr169euPGrWvXrjU0NKj8NiGFcs4uGicKMZDCYjXRwmVZ/p3VjxhNKLqPqglB30A04egbyME5xXlnZ8VjSKPRaE475ceGvPN/2fv/3ltIto7D7z0EklDFGpgdFVK5WhKIwPYYkkr7AwAeDRE4Nc4UViaTTqd3d7ZXV9dfv3r70+PHr169Ghsfz4msaZqcsUgkQigRgQFFopGampp4PN7Q0HDp0qW79+/dunXj8vCVaDRqSUESs1kLEUmlmTGDiAClHRyR5HWxCeaROcErFV3iUMTcQ1Ye6ykVMyoHGegrVqA+C6EwluT+hor6scLIkUd1RY74yFmWMZXTB4wxIgQgCUKQFDmBiMCgpa25pa350qVLS/NLba0dsXj848ePSwsL2zs7mVw2l8shMSMSJZQbGxurq6tv37/revdxZmp2fXUjlUr19vY2NTXV1ERN00RueDMBPZvH8tExFUVydGoAIIHQUb05cTEJgG5kVnfHNRqNRqM5uZxiPVE1jBOqHR1q1YSg39VowjnGG8hJjBOFIwFAFoyxvV8qqQcRgq+cGYCtIRIgAIARQ0THqkgSEXDDMNSgH2Zn516+ePH27esPHz7NzS6sr69vbW7u7O4SSsYYQ2QMcsJigJzzjo6Oa9euXbt27fLly93d3Q1NjU1NTYlEgjFGUtVQZxJcDQ4AAKBERKUrKYwLqAws7n52KsT7p4fUvD/w53CCOen7bzNef25b9gW2b5GCCFQhNCgRJ/Lmqfltg5x5JAh3TnC1RUJmU9nNzc3F5cWZmZmxkZEnT568fvt2fnEhvZuJRCKcIyEQoZQyahr19fUNDQ1tbW0XLg5dv379zp1bV65cqa2tJwACsnJSSonMTcrzZOQ5cSLfBc5U8bZ8nAi8S4XfDfQjRhOO7qNqQtA3EE04+gZycE6ZnoiV+KzRaDSak0uZ93NZ7M/9PQv8Tjequ1Fm/0K5xEC+tpfnK3s9jNwK955ZVMxFqGF3PsqQV3MIIrT9ifKFq9RalXmNZeU2Nne2t7fXVlfHxsae/vTk1atXH0c+7ezscMPgjDGDK0UPgOTcrK+vb2ysb25s6e/vv3n71o0bNy5fvlxXVyeBgNCyhJD2+gFtrZJEYHZNLuAqS07ZaKObe+V1/LH1MmUQHvGp9HM4wTkrdJICAE97cCNA5HhRF+blqf+X/kWWd7N2PY/yP6PibgREBEzF7EBKKaVExGg82p7oaO/uGBwcHOzvr6urq2tomJiY+Ly4uL2zk0plcrkcAXFuCEGrq+sLC0sfPnyanJxenF/Y2lzf2Njo7DzX3NxcW1sbi8W4wQGQhCRCYJ7sPE9rtJ2zgBCREJAhUEGbdJEq9uWdoPtmGo1Go9GcBE6ZnkhTGTrUqglBv6vRhFNlN5BS+Uf7jBORp1Y65OuUA5TeR1dTQ0SFNeDznke+Guqu+4zrDZyPESjlCEMAUCXulYaowOtH1a1iyDk3EBFhY2Pr5YsXz58/f/Hixez0zObm5vb29m46JaRURsh2GAKEtERjY+ONG9du375959bdvr6+urq6RF1tPB43TVNIACeLjRfrKiCiAIGIzJNo5vU2LtY8wvVEEJhSvTEFb5yo1OeD4GtvrkFV0LsKbO9wsCwrm84kk8nl5eXJycl3b958//337z58Wl9fz+VypmlyzskhGo3W1tYmEjWtra0XLw3fvHnzq6/uDQ8PJ2rrAUAKYVmWE8H0O3DbCjIsft7zsyEGoqUFcSL9iNGEU2WPGE11oW8gmnD0DeTgnDI9kUaj0WjOMocVZWBg51gVUUnsiV+GVGo2AgSUUjJnoC099e2lUjM58RpXr8EIiMhODjIYZ5ws2k3ubGxsra+vT09NPH/2y8uXz9+9e7e6vsEYY2hw01CG1iQlMpaIx5qaGlqam3t6em7cvHnr1q2rV683NzUDAAEJQZZwBEq2OVJBrpn9X8YMpYqyjxdCsWBBIeFn52REiMI5rB4oArpO1gAAIMETc8TCHrAQAgA454na2kRtbUdnZ+e5rtbW1lg83nnu3NTU1OfFxY2NjZ1USkrBmMEYy2azy8vLc3PZiYmJz58/r62sbmyszc3NdXV1tba2NjY21tTUcG6qAmpE5D2lSkGGkK/4hiX2G5324zSJk3paNRqNRqM5a2g90ZlGh1o1Ieh3NZpwquwGcsj+dL4CT+XoRLx6IlUrHQNHyVcby9UTudln+fk99aeEJ1KDkqSUjIOqU4aAQtCnT59evHj1+IcfP356v7q6mtzaTGczQig5Cnf1HlYuZ5p8YKDv5s2b33z99dWrV5tbWmpra2OxuGHY740IWNH6Vvaftt+QXzkSrH5V+gYSrDJ28rwFj0JDVHL9nur1bvspZmOUV/rkcrlcJptOpxcWFt6/f//s6dO//e1vUzMz6XQagJmmqeZXmWuRiBGLxSKxaFtby+XLl+/cufPo0aPBwcHa2npAzFk5KfOCr2CdO+/ZL1EBza2eVlDeTj9iNOFU2SNGU13oG4gmHH0DOThaT6TRaDSaU8Ah+9OhrSayAzh79iyISIVA7PnJ70hT4HAcKHwOAIQIQs0ifQva+4MSAJjBTGYiwc7Ozvr65vra5uLi4vv379++ffvy5cvZuWlLCAQwTJNxICKQQkqKxWINDXXNzc1dXR3Dw8NXr169efN2f3+/Cg8JQXYsoETpd/fXVeU1FTlzYxYVdrvCvYGqPUKkwBKfS1EkllRkkqcCmnf99klRLkWscGLBZ0KQJBEwEolEo9Ha+rrm1pa6hvr6+vq6hoaRkZG5ubnPi4vr6+upTAYRGTMQMZPJ7eykstns58Wl7c3k5vrW+tra8PBwZ1dXZ2dnS0tbTSLOORdEZBFJR8vm3RV0232RI4XEHMMvUehdpdFoNBqNpkrReqIzjQ61akLQ72o04Zz6G4jHIGgP3FE6lPBsDh4rrzORWlAQMVXhXvkQUcDJBaUyqzYYl1JOTk6/evnmyZMnr1+/Xlxc3NzczOVylsyBknggIrMNjwGgra1teHj4wYP79+/f7+npaWhoiEZrDMPwJgQhY0pg4sYdCsQjzHbMcTVTtvtyiXQzfQPxUmmcqBC/f5NfpOb5U51BNYUxJoQQQljZXDqdHh8ff/r06ePHj58+fbqxsaEyGb2mRYwxw2CmaZqcd3R1Xb9x9d79+988+lVv3/l4bQIAcrmcNzjl1RAFdUbuZ2Wo5NWR5ZtQMc5mC9EEOfWPGM1B0DcQTTj6BnJwtJ5Io9FoNJpioArllN2xkFR0Tspb9xRkDEkgZPbo2RYNOZodcKJFEgARDc4YYwB8a2vr8+Ly8vLy4uLixMTE6Mj4x48fp2amk8mklJZhGCr0Q1IKKSMRo6G+tq2trftc7/n+vsHBwatXrw4NDdU3NnDGSYKwM9MA7PE8InLHwxsQ0VsH3Rf/8pgXByJEZR0szf5QMaPCZEDMWwVxzklIBCQEKSVjzDRNiMVq6+ti8ZpILNrc2jYwMDA1NTW/MLs4t7iysmJJCQCMGUSUzuZ2Umkrm9veSaXT6c2N7c/zC32DAz09Pd09Pe3t7fF4HLmhqq0RETECAA6cHBMjZlspFUY5EfGEKMU0Go1Go9GA1hOdcXSoVROCflejCed030C8e7fnThU9FJ6EsgIHGfdbQhBE3PW8LnSccYM1aA+/MZfLjY+P//zk+c8///zqzcuVlZXdnbQlhbOgVJIQxhgCEImmxvr+/v47d+58/fXXA4NDra2t0WgUEZEzRGTA1b7lq60hs7fX1ROxvKrIGycK92zKJ9RRkcDZqWkhFXF4eiJw5ynV6oLV9NxvhRBCUDK59f7tuydPnvz0449v3rzZSiadM8WcCmUcQHLOGQODsa6erhs3bnz99dcPHz06d+5cPB6XQJZl2c2AodLBISIhMmcv3BOtipyxstMTz2YL0QQ53Y8YzQHRfVRNOPoGcnC0nkij0Wg0Z5Pg8BvcUXqgMxHur+zxjmGBFzDSdal2XIoIAG0NUUECmvMtAiBjnHOGLJ1KLS5+npmanpwcHxsbGx+ZHJ0Yn52f2dndJULugEiWZXEGsUSivb19YKCvv79/YGDg4sVLg4ODra3t0VgEASxLCrIQ0dVJMcacMIHHMgmlW+/cdyDyCqMSx8J1dy63Q3YURtBVRpGdKzKpVOsKen4XrsmTxsWc5EFwi5E5/zLGlB1VPB5jjMXiNd3d3Tdv356Zmpienp6ZmVleXZdAjDGDmQBgWVZOWNISWcvKZcXW1tbY2NjAwEB/f//5/t6Ojo5YTQ0ClwTSEk7SJYGKNhKzcyURGSpzInJTGoNZjRqNRqPRaKoKrSc60+hQqyYE/a5GE84Jv4EUDRJBwZi8IH4RFidSFakQOBB51UMARTQdRXVG3q9UdEYCAQADXFhYeP7sxePHj3/88fv5+cVMJmcJAQyJhEQGAByQc2SMEYhETbyjo+PatSu/+93vrl+/3tPTE4/XSilVFTNUJ8gud593ilEUnDvlmV00vlHeKa7gBnIG4kSHR8l2GOKBVWweJqUEKTY2Nl6+ev7zT09++OGHDyOf0qmsIKkinqp92lZXgFJakUikf+D8zZs3f/vbX9++e6e9vb0mliBCZVZVcGaJeY2uACXzOLiHq8xOzj1Ec7Sc8EeM5mjRfVRNOPoGcnB0nOhMoy8hTQj6GawJ5xTdQCqrxU4gCeykKgROoGx60dZxeLLG7Pk9mg5B0jNdACjZB6qUMQBgjHHGhRSry2vT09MTY+MjIyOjo6Pj4+NTU1PbO0kCBgDMNACAAymbGMMwWpqbh4YGh4cuDl0cHBgcGhwcbGtrq6+vR0AhhSQkInR8hfKnCd2a5fYUb2wo/GyGh3f0DeTo2cPfGpxoo23J7onRMM4BAAGIaHFxcXpyampqamxsbGRkZHx8fHJycnt7Gxg3DIOhASiFEJZlAUBjY/25ro6+vr7BwcELFwaGhoaHLl5sb29HxgCYJCksYohkxxk5OO2EIQW9z110nEgT5BQ9YjSHj37EaMLRN5CDo+NEZxp9CWlC0M9gTTin6AZSWZxIqnpkNgwK3amhUMeBnvrlapxsV6AHUI5CRPlyUSSklJIZfHNz89OHkWfPnv3tb3/79OlTcms7nc0gIiASoUQAAA7EOUfEaDSaqK0Z6Ov/7W9/+/DB/StXrjQ2tQgh7CJWgMAQgBGArSdyClSp/DIoPGs6TnRy8MeJIHDYVZzIbZ9ua7S1QgQqQCmlRIKlpaWffvpJFUSbnp7OCces2lPjDABACktka2trL1++fO/evd/97jeXr1yrb2yIRGIAwICjEydCYogqjZKAiLGSNQHdVuEGTDWaU/SI0Rw++hGjCUffQA6OjhOdafQlpAlBP4M14ZzAG4g3HlTys9cwCBzXISpjtzwBICenTJJ3CviTgAQAIHLOucE4AGysbc7NzY2MjY6MjIyPjk1OT83MzKytr1tZQQic28ojVW0KGdUlagcGBoaHh4eHhwcHB/v6+rq6upqbm03TlFIKkmSXJHcWVFlETt4ZIhII5UOUH6h79tQbMwpGhbynv4ibtb6BHIDCo51vn850CQBKWeY9mm5UKL+egrPAnOYtSbkISQEAjBkqNJPJ5BYXF+dmZqempkZGRt68ez06OrowN5/JZIyIyTlnTFU6s3K5nGEYzc2NXZ2dvb29g4ODl69cuXTp0vDwcCJRBwCSQIWY/KdbVdBTTl7qc2GVwHw7LDgCmrPICXzEaI4P/YjRhKNvIAdH+1hrNBqNZp94DXRPGd7OxJ5BIp/mQkpJKtIUmC34QUphZXNpot3d3amJ6bdv3/7w+Mc3b94sLi7u7OwwzhGRmwYiEglE27g6GjNramo62trv37//1Vdf3blzq7e3D5xYVTabRURgyBhTsSrX5Dhf6h4JAdVIXPecTgFE5Aur+CKeCkSUhfMIIYQQAIxzfv58b29v7927d8fGxlrbWxKJRMQw19bWBMlcLmdZEgBUCwSAzc3tjY2tt2/ftrV23Lt/Z2VlDYD19fVFo1HDjKrYU9CymojAbv8ETu6bV0+kW6NGo6kIr25Xo9EcFl4BvObMoUOtmhBOwbsab45D+GdFMBviy1Ll2//FbyCVH5/K8ssKfouIsPgRdlLH/GEg3yhdxZIk2GXOGGOGwTjjW5vb8/PzIyNjHz58GB+bnJmZWVyaX1tfT6fTlmWpzDIilFLmZI4DRqPR/r6+S1eGh4eHBweG+vt6Ozo6WltbaxJxIiIhEbHQIVsFhvx13JBAmcXsedyClJqntJLFnp+IOOb1WeHn7ixT6jhUeh8o0K858wg3duPtAUq7JhoiSgnJZHJhYW5+fn56cur9+/cvX78YH59cXFoGANM0OeecMSKyLEtKKxaLt7Y2d3V19/X1Xr185c69u0PDFzs7OwEZAQhhSSlV+3M0ep7t90xRwje3Wfr2qNLrvfxlg8etHI56e6pt/uO/KkMeMTouoDkFfVTNkfLF+6inAK0nOqN4hzFe9PWj8aIfw5pSuAoav3dJ4PPpIDi+ChoSAfgjRL5vEZGkREQpRCaTyeVyqZ3dhbn5T58+PXv+4uXLl3OzC1vJTTVcZ4yZpunogCAWi9XUNMXj8daWlitXrty5d/vGjRuDA0PxeJwzkFLmcjkAYIClRlD5CJFjqg1UVj7dvvEfgcD4X3PUeBuD12pdSX2g8FsV9wEAABaPxy9fvjw4OLh57XpfX1+8NpFI1MVrx7e3doQQ2UxGGWAxzhnnUsqFhaXPn1fev38/MTa+vb29ubl56dKlppZm0wG8lwwBY0x6PN0LkhgLG2/Ronua04dPnep9xPgeKDpIpFF4W4v3AefOoJvKmcWr8vZy+nqnR4rWE51dQi4hfRVpoEQLOa7moX6i/Kd7+fN75yz1+Tgp4kR74LUdhwusr3m4vbH9tZByNCwHJ6jRsKcAUulTT3ZBsrxuyN5a5T9NktD2hbEPCDF3KUkWAEiURMSIqawxgxvpVGpxcfHDhw8vn78YGxubnZ1dXl3Z3N5K7WbsgToHjiilVH9GDLO3t/fGjRvXrl0bHh7u7OxsbGppaGhIJBKcc1B10xx1htpad4oE4IWSjePR7JR6xBy9S/HxXQXVCTnF7Eu9EPIq49zL1q3E505hYEeOtre3l5eXFxYWJiYmXr58+fr168nJyfX1TUSMRCKqTJ+KQHHOEzWxlpaWzs7O3t7eGzev3b59+8LQUEtLCwAIIaRUm0cAICF/r2CASEAIrp7I3UI7fODcHMpvt4cyRNxzJVoBd0ScqD7qWb/nfBG+3CNG80WorJd+GDcQfV1rPdFZRYfYNdWNbpwnjBN9PwkJEsFeHkyEIKVURb/zE4kAQEqJDImIAyJjRJjL5ZLJ5G5yZ2lpaWJi6uXzFz///PPMzNTGxoYlBTciSkkkQKhtikQiTU1NDQ0NzY1Nly5dunfvzo0bNy5evBSLxVSde8uypJQkBWNKSFSk9+MLEvn37lgidJrjpFSLzQdzC4NERWcmIkkEAIZhtLW1tbW1XbhwcXjoYntrW0N9bWtzy8zc/Pb2diq1k8lkhCCVsEZEW1tbq6urk5OTIx8/Li8t7Gxtr66u9g8MNDY21tTUxGJx0zSVnTaCo2sLhYgYY+EXaakFK13kiFai0WiOB58VWvWFFDXHhB7nHgpaT3R2OVHvajRfgC+qJyr4TbU5x/ujmj2othuI961+MPYR7vbixVvhnjCg9lKe0GBXawI3xUxVqsd8EfG8KIMxzjlHRkTLy8sjI2M/P3n6/v37qampzyvLyWRSJaCRc+iklJbIAgADam9vv379+q1bt27evN3T09PYWF9fX19Tk2CMKTWTqpgGwBBR+RApRYa3fhkEwkOnXU+kKQWqAKb7t91WC/1o8mfNLo/H1R9Sykwms7Ozs76+vrCwMD468fTp09evX87MzCSTSc45NyOMMSmlUgyZ3EjU1NTX17d1dAwMDNy9d/vOnTtDFy/W1dWRinJKYUnJvQo4EogcOUPg4Fx9ezdUTz5jqTtAkP1eBeUqQLXO6ICQQzDpTPdRNVBC1Kybh8alaIhDt5CK0HoijUZThWi1p2b/7EMd46aeFYY2GIAEYEQEYA9XEFG9YnFqkJPntVVBn1XNb2Vzu9md7e3t5aXP09Oz79+/f/bs2ejo+Ofl5Uw2FY1GlRWRtDeaYrFYotbWEPX2dt+6dev69etXrlxramoCACmlEEJKqfrDzhZWI/pt3kmk4JQxBLK72qrWXiwWq62t7ejo6O3t7ek5X1tb29zcODY2Nj8/v76+ntxNZbNZJf8BkLlcbnk3vbS4PDUzMz09vbWxsbmxvTC/1Nt3vqWlpba2NloTMwyDhPD/LjECIpKgoooMVXw2iK2cOsLjofnC6BGdpkxKuVlpNJp9o/VEZ5dqkwNoqo2q0RMdJ+XHp856JKsabiDlvLEvFTPyegmBRzfk6IkYgarYLQB5wQyIJJGIbPWQ9Kvc7d4qwwg3JFkba+tTE9M///zz21evR8bHlpeXU6lUKpPO5XJSSmRMrVMIwRiLRCItLS1Xrly5fv36jRs3+vp76+vrE4lETU2NwSPo+RVJ6IsQ2Ue+cFPBo60IOS+V1JPKt/w9jvyp0xNVpEqDco/nfpb1zhm2waXjdPZ6ZF5PVHAtSFINhohAKnsg6UrkAEAIkcuKTDq9sbY6Nzf34cOn77///t2H94uLi5lU2jAMdZaJSErJGDMMo6ampq6urq2tbWho6Jtf/+r27dt9/f3xeMwiEEKgrYwDxhgQc9uqrRFgwYPuvXIlACB56+hJAHCUUP4D4jU8Ok69j1YYVUQ1PGIq5Kz3Co6Z0/eI0RwiZd5A3MCivj8XReuJzi5eCwP3c7U+fTVfDN0kNEUJ3jSqSPKtLHHLe94TkXeT7ShPfk1ckvLX9bj8kq0wIiKAgopRilwut7O1s7Gxsfz58+zs7Pjo2KtXb0ZHRxcXF9PpXW4aqto9Mqa6Mpzz5ubm1tbWc11d5/v6Ll26NDw8PDw83NraooqSWTkZ8D9SCUGBqBD6PV+CU44N96epQHWlOSa8x9yfvKO6xej84f4HHT9p5yqwF/Rc5gDAOTfj0fq6RFtbS2dnZ0tLWzwe7+7tGR8fX5ibX1lZSSaT2WxWzUlE2Ww2mdxdXl5dml9aXl5Np9PLy8uXLl3q6e1taWmpq0/EYjHGmNLKIeRN8YMtp1hLPhxVne4CVRWl+qX6HGlc/CnV+hLWOJQ5yNUNJhzdbzu7lDr1+prRKKqmhZQaALAS87DQpcpBv4wqi1Lvao5/S1zska367A2sBDaqQE+k/vREghxtgvQv4qgY3M8EwjXRUFZEJOTa2sbU1NTz589fPn/1aWRkaWlJmRAJmXN7LYgopapBDqoG+d27d+/duTt8+VJ9fX0sFjMjMc65O7OTzlOAM4aX7my2HoohqEpnzvjee6oOdobKfWdeNTcQjUtxbx1fT9ozXXUR89dFsOgYOX7q2Wx2ZeXz+Pj482e/fPfdd2NjY+vr60KQaZqq9aqFGQPOuWFEmpqaBgYGbt68/vWvvrly5VJHR4dhMEuSlNKS+S00gjo4lPkpxLw2RlhYy28fLS18EXU0nHzPYjOolQSmFPmhMpatnFOlZ9E3EE043miy78MX3jJNdVDRPeQw7sCnEK0nOrsE3+7qSLxGoymfKleIlL95jj45UPJJFqRxuTMDoeOEQADIOHLOc7ncbnJnZWVlbm5henp6Ymz848ePY+OTCwuL2ztJzplhGJwjKG9FIkRsaKjr6Ojo6Ojo6em5ODQ4PDx8cehSZ2enETGJyBIFqmk3SISIqga5e7tmjPkEF+oP73jR0Yjsi311oLSMqCSVHs8j7sA6cRwCsL2rnaQzQFT5l05OJdjzuPIiQOScRyJGPB6rq0vU1tbWxhNNTU2jo6PT09NzcwufP39OJpO5XI4xQ7lcW5a1ubm9tbW1u53c3ljf2NgYGfnY19fX29vd2dlZW99gRiIAzLIkSgKPrzYWaprsPz2hIiLPhvlmKw/dC6oe9K1DUw5uIyHtT6TRHDb6LnymqUI5gKZ6OMa3efvT/vj0RNKZUpG7UNEX7JWqk7zzhH8utTEs8Dn4i4f1lrjU9lT8Lrp4C1HZT/YcaopnEf+EYqsNrrLEt17dULh3te3tYtd7clZF5FmH3cVUdkMcuFNKrGB+6a0GJaQrI2KMbW9tLczNP3v27PHjJ58+fZhbmM9kMpYQUnoPlFQWQkgsEolcGOj/6uGD+/fvX7txvaWpORqNcm4qD2BEBOS+PD6vS4sTCkLvFFdP4RyfSq/VYLv1UmZ7ttFygMOgHDVlpWvzL1vY1NW3So+mfH8AQErIe11BobaIyM7xlEBSSpCUy4mlpaVPnz799OMPP/zww8zM3NbWFgAofZwbk+JKA2fw5ubGwcHB+1/d/c1vfjN08WJzaxswJrLCTWWV6PccYVS8IXkVdqzUnYYp3yV/nqzXgYswoN2j4qm14b1odJy2Cci7PaX0feS9eVZ8oZxcPVGplnn8fdRyeiOltMzBecKr44U/i0v9osZGP2I04VR0A9F6oqJoPZFGozkdHLAjVTRIdAzIEp+PmdNZ0MCtYgYerUEpkUvAAIgB5F2B1AfpkTaYpklEuVxuaWl5enpycmJiYmzy06dPY2NjC4uLW9sbBGCaJnDGCFSxcCllfUPtuXPnes71nj9//sJA/4WLQ4NDF7q7u2ORKAAIQUI4g3bH7cgjiyjYZlc35P4Z2H2NZm9ChBuICCSKzMMQPM5TQAQAyq+aI6upgWg0GovF6hLx7u7uqamZycnJqampxcXFnZ0dy7KUP1dO5CzLsiy5u7ubTqd3d3c/f/48MDh4vn+gr6+vq6OzsbE5Eo1ISTkppJRK5eQ0en+Oife6tpVGJbyZ9p2c4jO8KOc9q6tuKF/Nt58AkeYUcnKjfhqN5pSg9URnGq0n0oRw4Hc15ehryg9P7PkGr1Sgp2g3K1wrASWMUcvf5vL7duHvGyul0uPpm9+rbNpjY9Qb8iJe0V49URmEq4eC85TjPaSqOAX9VqBQBwEAjiN1kdbuUQ8pt2lBRByd9BxijLFMJrO5ufn27dvv//bDy5cvx8fGkjs7AGBJ4dVoICNEZICI2Nvbe//+3QcPHt2/f7+9vT0SiTBu2iIjRATuXQoA7Cme9DelSvDttWf8bF9fIddp6fdmwZHJ/scqX/pl71GMssrRCZY//eA6ysooOO9BrZ/dYouvX4IAyNcUCwRVCz4TEUmUUhqcZ7PZ2dnZD+/ef/vtX54/eza3sLCzs8OISQQhhAQ7wKRaBWOsvb19aPjCo0ePvn74aGBgoKmlGREtuzIvY4x5lUTqClXhVOZ4EuUTTzyqInW9MFsnRd7PjDEk8OVy+g9dJaGlIjXpnMBVPqqlJod+PhoO94lztL97NH3Ucnoj4XeP8r0Rw+cMTg+nHFVy+f2uyvShVciXfsRoDpGDPFtLckh6ohN8jRwcrSfSaDSnG1n5/b2c+Q/ull1thMSMqoiSXUNHOuQGgoJuBb4BrasI8P7rnUh2joxjq8tYxOREJIRYX9ucmpycnJgen5wYHx0bHx+fn59fW1uzpDBNEwAYszVElsjG47Hu7nN9vf39/f0DA32Dg4P9/YM9PT2JREJKScCEEARKl+HsjjNiJTvmlR8AK2GC2lndIf5ClLrwT84NIdBwyvGTyl8diFhYyc73L+PcNE3OIBIxent7o9FoQ0PDjWvXxiYmJicnJ0Yn5ufnN3Z31fXCOEcAy7KsnBQWZXO5ZDI5OT4xMDDQPzgwODjY09NT19BgGKYQ0jbuIiKGQN4LFsBzXbvTpe2s5NgwoX2SEJXRkrpjYNGwcliwlcjnC2ZPL7aEcgfzy5qAoET2nOZLs78Kesd5+e/vfZtGo9FUwCnQE53CGPmxofVEmhD29a7mON+Ql+OfIgu/8i1bvtZJBU3KeYt4cN+Qg791LIeDetAcRE8UfH8Onin+mUsEevyzqVlkwKtIEoDj4+N8m18PMaUjcKe4DkSukgilcH8aAXK53M7OzvjY5I8//PDLs+dv379bW1sDIAlCHTFnayU30GCcMdbe3nrr1q179+49ePCgt68/Go0aPJJPSPFoH5S+SVmxFLgReS46pUsqPBTKR8Zbo21/eqJyKMfDCODLvOw96v5A+RrDo7hyj6c/IyEfbfF6QqvsM+4q8rzXvj0/ghAi3zhVgyRUkRmTG7u7u5OTky9fvvz+r397+fLl/NJ8cnfH0x6YXU+QkZTSNIyuro5Lly79+te/vnfvXm/f+YaGBgCQzlXmLmhrkQpjLoUJm86/jMA5H9xzEXFUEZ8i915/rpnHlck7QzheVZF731P3z0DwCOBwrs3weaCMOQ+X/XjuHKWeKGRLjjTsUr5a83DvG9UwVgrv51TcMrWe6NQR3jIPp4WU1zzK7eecerSeSKPRnGjKfJ8Wro7xJluFJLVVqcTm1LPn+wwnGazk+MoO/QC5fkXOULaIgEIZCSEigGAEhmGojkUymRwdHR0bGxsbnZicmJienl6YX1xdW81kMsxgjAExJCIUZFnZSNTo7uwd7B+4ePGCEkT09vZ2dXXX1tcxxqSw1Ua2AxHkk9TsIJHHjaiou4oPRFR778ysO8pHTam7wcm4S4RfL85F4X4vw/vWbjBFSWyc0CeRRERiyBhjiJBIxHt6eqLRaFdX11ePHo6NjYyOjn4aHVlcXEwmk1LKSCQGACjREiKXzS4tLedyufX19VevXg0ODg4NDV2+eqX7XG+8rhYRcjlLSjuqBfbv5S8Zr7NYQTJaMa8xaee1FamU5BMh+q493/wVjbnRrdjmXase4h45e2qF9icmgspjLifgRqHRaM4yZ0RPpLVFxdF6Ik0IB9ATnY7r0d3OcDukE0GluqHj1hOFzB+WBUNqW/MaIqdikWcmj4aowIGFmLt+2+VEEiIKuxyTcjCRRCQtymQy6XR6fnbuyZOfnz179vr164WFBTUTIrpFxxCJcx6NRDjHpqamGzeuKQ3RhQsXotEaZnCSrsaBq/kBAPNnRwJT09Hdl+DlVvQCrOi+XYlmYf8KwS+nJ/JvyWHdc5zjVvxNeKEyrpz4dfm6j3Lm3x/5Lfdus5NcBlCoG1LbID1hTefbvG8Rkr2gIPsaswMxklzBnWGwZDI5Njbx8uXLH7//7sOHD8rimogsaaeVMeBqnZZl1URjvb29169f/c3vfnvjxo3Ozs5EXS3YfkWMkAOALb9DiYju1Q0+PZFXu+fRKnorkYW3T7VrKhboMQXbo96ivebANYeQrxZnr6FCf7dCytcTHf/zK1wLUHyrjrKPWr428CgodQT2t56T0r8qXzet9URnjXKed8epJzrQ754mTpmeaN8vATQajaYUZ/bGclTKiEPpxHnf7fuSQXzqIM+UIllRAsgdv6maSgDAOTcYcB5Jp9MzM9Pv37//+P7D2NjY3NzC0tLS2tpaJptlHBCRMZOkFEIIkWOMdXV1DV+8cOXKlUuXLp4/f76jo6OjoyMer2WMSUJSCWL5Ias9GmeAAFINut1v3aPk69aEWO3q/rHmgJTqWHunB52MfJ8RQALxwiwwQJBScG4iEiLG4/H+/v76+vrhoQszMzOTk5MfPnx49+7d3NzcxtYmAMQiUUROCFLKdDq9sLCQyWTm5+d//P6HixcvXrpy+er1ax0dHbFYjIjSWcvZgLxOsPQeFfcpK7qnRQ2b1H2EhMwbiXkPl6fMYuGvkjtDwZGxPxRumUazH85sd0Wj0Rw+p0BPFORMR/4qQuuJNCEcqp6omilHU+P1OTop++USnkkH+35vU7yFFHpwFP3s/buktsWdodiv5JNKfEsW+hMRkVc35FtcKYncKUo9pP60LCuTSqfT6dXV1ZfPXz158uT585eTk5NZK4OIDA3ktmQGETnn0agZiUTq6+qGh4fu3r378OHDq1ev1tbWMsaEEEJZDxF6csrAHk07niklNUTMO11tXjnvohmEH//9UNmz9bBf9u5Hj3CUFL3XFTVE21+fpOJ7qeuwo9Rq+8Bdg6MkKuvad5POfPoj19NHKf5AkppHKWgQiRkmQ4YAu7vpqamJFy9e/PTj4w8fPszOTSeTSdvWmlTKGwMAKaWVzTU0NAwNDd65c+frXz26ePFic2tLIpHg3FTaInuTKC/0Uxd50KXI/lMigIoOS0TukQjlfb68R8Px/8rvpr379mXmJNz5g7b+M6hCRcErodR1Ws71e5Dr/TDuD4fPcfVRy9EhhvuVBAneAQ7rHnVYPmsnqA9THK0n0oSjB7kH55TpiRQ6mq7RaPIQHZbnw0nsVx38ZrhPVVHYKwivHYfnr4LBJxXM6IvyFIzNvJ6yxWb2fFbfezJrPP8CgmmanHMEXFxY+PDhw6tXb968eTM7PfP588ra2lrOshA4gj3+lFIKkROCmpoaBgcHr1+/fvvWDaUhamtrq6mpcZyAmZ1fhkW8pdUouqh6yN7HkMOoqTq+ZPcDEQ/44k+5XJXz+rBoS/aJaHwtWV2cqDy8bNEPERICRiKR7u7uurq6K5cuT09Pfxr58OzZszdv3iwuLu6mMpzzSCSmsskYNzOZzMzkzNbW1rv3b/oHBq5cuXLjxo0r1642N7Ywg0spc7kcAEgpHW2THcYCVz1ku4+piBWzhT7M9SxTW51XJ5EdR1bXo8pI9US8vYpFN1xU6KIdhIDcdbqzqThaMD1Nc0rZx7P1JHZCNBrNSeVUxolAh4o0mlNNSB0EFpgCABj6ovQ0ddQO/Y2l+yK03HV632aXNWux4A4UCoUIARDtymVQUHWoyIJEzhrzVauVAxGzx8DkzslQKXoQAKwcpXaSqVRqe3t79NPI8+fPf/75lzdv3mxtb6v5ObdlGgTAOa+picZqGmoT9ef7eq5fvXb//v179+61tLSYZpSILMuyLEmQV0M45M+RGkwanBEJW7vBPG4wRdpsqbNQzW3Si11p6gBrqJ4jUM6WlOqHHNzvtvgaylcSldaPMETbNyewclTOQaViH871FdRcKJVTXuOmrl+SUvkWIWKirrauvr6np2do+OLAwEBTY0tton5sbGxpaSmZTGYyOSEEIBkmA4CN7a3VjfWRkZGx0YnF+aWN9fXdVLK3+3xjU1MikYhGo8ANQARits8SFoZ1VJF6pr6TdtBKAHKwAzUAhAwAkCBvQ0bSuxL/QSCGWDyurY6NGwNy50JEIHDtnLxrLvS6Kk6pe+xxRZb3721XfZSvEio1T/l+ZN7jwwLTS/2id07vV6X0hifxLGg0mqrjVOaduZyMsiNfEC3J04RQxXlnqlAUh/xG5vtYznThmb9gGypp4d57yIm4n4RE0HyUf45KzhNyAwmOcwrGpZQf/YQ8g7xmumr45MoQ3OngjuU8OS92nosn40woFYBdqFvk9UeMOOeGYSDg5sbWx48fX79+/eLFi6mJ6aWlpfX19eTOjkobUykpIElKmbVyiURN7/nuK1eu3L9/f3h4+FxnV0tLS21trWFEOOdqOO05Dk46jJNrphx4QUWRUCIqXQNIIDd3xgvbl8Sg+vLODpIVVc0jn3LyN8Ezz8GvuwPll0El7cHr3QOFp9Uff3Eme0Ox4ORqOXlbdjYoEQFKKSVTftCoLglmWSK1k9ze3l5ZWRkbG3v9+vXjx4/fvHmXTCYtKSKRCEfmqnUikUhtbby+obalpeXixYvXrl27e+/e8PBwIpEAxi3LEpZf1JP/jFJVZwMnT829hxCRSix1Ej2x+GcvnueRN6/Ne7h8Z1Td0Lz6oaJ6olLXbzl996PMOzuOONHx9lGL+9NXHgPyTgmuOXh89hcnOkhfq5rvpRWg88404ehB7sE5rXoixYm/CWo0J41g7+fw2Su67allw1x7GiyvX+3jOHYHDt8bomgvsKjKspxeZvHpBEBYbLwEAMUOt7t33lfxlDf0yP9rB4awMNgUcKVV7+GJCpJdVLjIVgQUzg8A4DgQIaJEiYgkcHN7eyeZ3Nramp2ee/v27YuXL1++fPn58+dsNouIRsREpsalEhFj8ZpEoqa+LtHV1XXhwsD169e/+uqr3t6+2tpaRMxkLSKyhHCNfgscSRyHFCJCJHBqjdvJPggAwIEBFRwT/+HzHP9ik4sf8z3nrCZOxxgmfNQXslTRHS81ttw/R9EenOvXbbjS0RD5RsKEDIEIwHbsIgAkkJZQQp/a+rr6xobu3p6u7nPt7e3xeLylpWVubm5lZWVrayudTkspgHHGWE5Yq+sbi5+X2NjE4sLn1dXVZDK5urLS2dnZ2NRU11Afi8WVYbyTU8YAwK6JBiDdBDRgRJ77BgLIvBKQPB5JzvTgzisTMnX/YUpISCTspYgBAMNiZ7/oytRh8vxbznLlPOFKxY4rbw8n/Qotn4OoAsup4lTplpydI6/RaL4wp1tPpNkDHWrVhFCd72qKvksvVA/lcV6AFylJU1UcXpyo/DeiB9WoEwB5h4QOBRIDNcW7lMezgxyzDyiME3nr3PsXpAL1kGM35MxPyreWEQhElJ6KZq47iXrTzxhjHEzD3N7eeff27cuXL3/55ZfJ8anllZXNzc1UKmVZFhEBQ2YHiSiXy0Uixrlz5y5fuvjVV19duXKpt7e3ubm5piYRiUQMIwIAktwYkItXSeTxrvaUSfKqD7yRsnAN0WHHFsvhePREJzGfpXwdn5fwfTwebWbF+ORFhd+pL/J3aTvOYl+nwv2MmNfcgSPnkVLa+VkkVPwol8uld1O7u7tLS0tv3759/uLZjz/+ODE+lcvlBEnTNBkz1IKIGDWNRCIRj8dbW1uvXrt8586de/fvD1wYNHmEEHK5nH0PAV7gY602XKLX6BoA0MkYJQBk5Dheu17ygdQzpm5Jdj4poCw4UE58Si3o9dv2H1uG6PjpFREtlTorZc9/2BrDIKdPTxQ+f6ncsfJz2crXE7nzy2J/aj2RTZX39zTHhh7kHpxTpic6Jfc+jUZTFOemH658ydepcZfb7w8eU65ZMJug8DlW/ugxuLXlbP9B9zFY5wg9Vc+Cc4InQlTk2yLhhXzUqOS7DbKFCW6QSG2G8KyOMWCMkUU7Oztra2sb6+sz03Mf3r9/8+bN69evF5c+p9NpADIiJmOcMSaEJaWsqamprY23NDd3drYPDg4ODw/fuXOnf3CgqaGRMWZZUkopbJUBIYJ7PInIaYPS+9rem/kCAFKSika524kFjcA/9vgSEaL8rx+999/peIJXGuvZn/7oC+DRygW/C05SGWf2ksrBmoiQAYJ9beaTSRmClKqBSykBwDTNWHOsqaW5q/tcfWNDQ1NjXX3jyMdPi4uLK6uf19fX06ksAADjAJBOZ3d30yK7ODc9t725ubmxvbq6euny5Y729pbW1sbGxlgsJiGvLUIn+xURkQORBAACYGgQka0wUsEfieSogWzLe0TGmPRJGfMySVH4jS1qdQ5D/gD6yzX6PY/sCLgvEy08B63UTbR8DnaHOYnXb/AqC88Ug8CUUjH08uO83jlDPIkgsLVF/wzPlz+J50ij0XwBTpmeSMeJKkOHWjUhnKh3NUfx7v3L3E8OFicKpzI9SDhePVEwT6pUI5FFw0Pk1yW5iiEAr/90for9wfO75InOeD+oEZsamDHGooaRSqVHPn365ZdfHj9+/OHdR5WrkslmLUuoLUQbsCyLMWhraxu6cOHrrx/eu3evr/d8a2urGY1w0zB5JO8/UrC/+S1xhAMFuSp5MRFK91gh5nUE/mNWuOYvFydSlNvqtD9RJdtcjhKhOve9FPn83+B3Sk8kSNoF7J07g60WpHy9MPVZVTHLZDLpdHp+du7Fixc/P3vy448/Li58llISgmEY6PjWI2LMjERqIrFYrLOr/d69e/fu3bt//37nuQ4gRghCCABAYvlUUDdy62p/1HSGeREiOsEd51ccbZTnWvTohlD5tRd4M0nvGqBQV+iFeWu0qV+BfOS9/DjR/vREX/oOk+e4+qjl64bK4YBaSDdUVOn1XtU6xKPgRPVRNV8APcg9OKdMT6TRaM4mh+XcUXVv7wGg9N7tb0+9apdyn5fBmR0nD8883qhNYH5vlplvzZ75871bNwJlZ5AhOPXOGOWHMEo2pHI9ID+8xLymjCEZhsEAktu7a2try0srMzMzHz58ePfu3du3b2dmZjKZDJGtIVJbIqWMRCK1tbWtrc3dPV0Dff1DQ0M3btwYGhpqa2k3I4YlpBBCEkkpVdQDVdJYgcUvuZvkmVgwmwQGAJzUsZSupW2xsVw1RIgUB7m+DmvZahj/lB8bCh/yhWsZoNjayvzd8jmK4+lGW4rkBaspDNB3T3BVNtIJFBMCASFnNZF4orYWAJqammLxmqampo72romJiYWFhcXFxdW15Ww2g4iMGYSwk05t7WxZlrW+uiqyYmN1bWl+4fzA+XPnzrW2tzW3tEQiESlBSlXgDFBKAADGiQhRqnCPlIAkOWNqI6Wqu0j5rQIV5JKEiNKpqqbivW60C5wIkbPj+RuCJ8fNfxykrSLKTyePHVzwDlB0CrmCqACn6f3w0VOOA1H4FbqPK4uVjhfvZ/175CRWx6NFo9FUG1pPdKbRoVZNCGfyXc2Xf4d/lB22Q75DenU9+VyzEo5FXiVRsGk50SX1dl26wSOvqsipUe3Zfts7Nj+FnCJKajoiIiPTNIUQM1OzL1+8/v777188fz6/sLC9vZ3NZqWURORqiACUSQo0NNT39nY/eHj/19/8SpUzM6MRNQpVNZI8YzCW3/eCf4sMgH3XjlQ+RGQbmiAiKxInUtqE6okTlctR3kCq4VlfjsrPvZ9UFCcKchLjRP71B9sDedKufPUK7ThLoGY8AJCQlmVJS6TT6bGxsSdPnjx+/PiX5z+vr6+TshDihmP1JRExYhimacZisYGBvgdfP/jqq69u3LrZ3NxMEkkluoG0vcAYzzdO12nIBaXrIIacuR7Y9jWL+aVU6qutJ1KLspJ3g2CQyJ4n9ELf9yVUqYfRl6U69ETlLHu4uV2lXAVL/WKp+4PHIyywllMQJzqTfVRNBehB7sE5ZXoiHSHSaM4O5WRRVTSW83F89xNvJ+1gT7CQ8Z7c72jTM6WS3qTryerT1HjNa/0wIiBEJKUTUi/VAUii81bD59+hqmvn1QrqJb9hGJyZjEEqlVleWvm8tDQ7Ozvyaezjx4/v37+fnJzc2dmxLIsZnHMDAKQkIXKmadbWxtvb23t6evr7+gYH+y9fHh4aGursPJdIJIjIsiwpQRI5Y0Mbz6jPdSkq1F6p8aTj3l0RCBAIN+RbrFdtVEg1RFKOjmrYrz19Q/YxZyn25230JQneKhCJwC1AqVQ2eX8i393AScx0oqWeamWc82g0hgD1DQ2RSMw0zba2tosXL06Oj0/NzMzNza2vr0spOeeMMULI7lpCbBPRbjotBC0vrn748Kmvr7en53znuY6W5jbTjAqSQpD7QypuC04imx2PlkxFfxFRyaGI8pUTwdlOfypZoauRdzY7pY4klD10QefABm6F+6HUGipf85d/v3Iwwp+M4ZGaUhGicu7A5cSYKlUqhX3rffdQ8K0eOGs0mmKcMj2RpjJ0qFUTQtW/qzmdcaKDsa/oT2DOwgpxJeNEPp8ghXe8V5CJhgWLANh5ZF7DDipcc35mYnZ6iFPFzJutRiAA7BLXqhA1Q0O5ES0uLLx79+7Jkyc/PX46OTm5vr6eyWUZoEfclM/uqq+v7e7punnz5jfffHP96rXz58/HYhEiYswAAGU1rQy1vToIey2Ohqggy4zlt989oN6LSumJuHIeYQSuNqHgMEs3xqe0VHhC4kRVfwM5REqNk8Ovx0optc6D+44dfmspaMOSACUVnHoGAILyGabufUDlcAX9yIgIgUsp7Xi6HUtGIrKsbDKZfP3y5ffff//jTz99/Phxd3fX/i2G6mploBzKDJPxeCJ2+fLwg68fPXz41dWrVxN1tUr74+SOeUzlPX5D9lVcmEYKAIwX3Knc+b3+RO78So3oXTwfmSqk6GXiE1i57k7lE3QyOgyOKk70JfqolcaJghw8ThQ+f/C39sb3TKHiT40Txll6xGj2gx7kHpxToycqerctR/Kt0WiOmcMakxz87Xo57pWlfuswR1aln1ql3G0PYRRKRAC2EsfjDaT+FUSu33Albx1lEUcMX/Qn/5kKfGHdD0j2+3d0o0sgAEEIcKvUSycCZcuOEJlhmJxzxtOp1ML8/Nzc3NTkzNTU1Pj4+Pj4+PT09NrGeiaTAc4i3K6lLYTgyBobG7vOdQwM9PX19fX39/f19Q0M9HV2nmtoaEDEXC5nSQHECJDIPhrEgIgYudIhWbDTKD0O1gDEECQCJ/sIlhip2S5FRU2jGIA3cUXFjPL5aMUIxPVOQGbBweMdX4pKR4b743B1Q/6clCNsJgwBeHCdhZZernKIUGVjqQpoABIAbQGOQAZSAGOMgAECZ4xzFsNooq5WSojWJPoHh8bGRibGxsYnJ2fnpjc3NwE555xzk6QU2RQJubWTlACZTG5mcqq//3z/hcGBgYGenp7m1hZkTAgSwg1UCQAgQCLikPfYLjiOQm2vdCVCzrJKGoluVikE74Gez77V+sJJ9kSfnjI8Oa00h6FaVVT6FK7+67r8yE6pWFKpz+U8tcs5PuHLFv/sKNnUJ+Y2gKOJG2o0mlPCqdETHcUbttOPDrVqQjiydzXH4YVRSPkaolJ8Kb1GpXGiYA+1uArd5yzriRN5v2Web4vg1xNJ/8DGrdRDxQQCvvpoqm6R60PkbHK+7JF6n6+CRO5ERkAgPO5IbHFx8eXLl0+fPHv65MnE5NTm5kbWynHO89ElRMaYgUBE9XV158+fv3nz+q9+9fX1qzd6enpi8RpVDim/I2j7W7tHSdVQs3VAGJADePJQbJcTkIhF4kQqvMQhH1tDNba0P9tzqQMRUECFx4nsmbwLeFd6DFR+AznpT+1yVHuHFes5eG/HGyc6fA+sctZjy/psXSEDsIvT5y3AAAhBEDGvxpAYADC0rcSISO0LA66SQ1dWVp48/uGHH354+uzZ1PSElZOOQMnW8jDnymUAtbXx27dvfv311/cfPhgevhiLx21NkC0BzGuL7IgP+IuU2RNZPjPOqydyvy2SkhaguIao9CL71hMddpyo/FZd2XVdHX3UUk/VSq/rcnTN+9Mflb3OwOk/0XEirSfShFMdN5CTzamJEynC79Qnsd95tOhLSBPCvp7BR6G1Lp9yRmWVjq8O0qs7OJWOACvYX3d85XXNKLaUHWYInndfnMgb3wm+Gw+qinzRovw80h4fumNCN9BBRBKluwbGGOc8wo1cTiwuLExNTX36MDI6OjoxOTk9PT07O7u1tZXL5YAh54Z6uZ/L5RhjjY3157o6hoeHh4cuDgwM9P3/2fvvL7mR7FwU3TsApC/vq1hkseh9k2yS3T3TmhmZkWako3uMzr33/7s/vPt01rpPOhrd0ZwZaaYdm2ySTbLJpjfF8t5lZqUBEPv9EAEg4LKyDMkiiW/1YmfBBAIBIMy3v733yPDw8HBfd1+u0IoamKYt4ltLTxk33LTXMsGQIg6j5PmnuDcVuTjkvnMB0SkegxKB8Me2hZXeO8wTCbxbo/br1hM1g62uIcNn7W7PFq1aEgi8IcLjDFxPVVL6gdDxPtdUYgCgaxpjCEC1Wm16cubVq5dCTvjk6aMXL15MTEyUihuaoWuaxphORLZtk23put7b1z0yvH///v0jI/uPHj06euTw/v37W9vbbM5tm4iQc+6R2gwBgFBjjIHNwWGI3KjV3ust+GKlNwhEs3ZvxNMeOqc3fgYOJ+7/2y9KCguU5HZxRkzJ2z00DjtVFb3tOWrgG+HN8USs4Z/g39XgusG9UQ8k5k2Rh27+LSc8UYL3GG+7A3kfkPBEHzSSTyhBA7xrPFGkn2nCEzW6X84tl8Ugwpg23AJPBMr6hPxuZeH4RC5P5C75AvGMXA0RuOoCAMETMccHhNsAACtLq/fu3bt18+ZXX3319NmzYrFomqamaYRSm8ABmYYpTUekfL5l//DQyZPHP//8Jx+dO7dv375CvtW2bak6cDRHIOfQTOodZBQSBo6GyGugwDqQWOReFX5HNRC5kYjcNafCIoXOTXiivYqEJwrDVxo15Ikg1JOAwhMFSBDfDyd+mct968ywbbter05OTl799utb3924/cPdmZkZbkPNrIuoRqIEJM45ZwCMse7uzsuXP75y5cr5jy/u278vlUprzGCMMcaI0OlJiDHGgSE6tE9YPRRKbujjkaM+AbXPRNxkfY/o9UCixYRCSsRoU735IjptsT2m5O0eGof3jCeK3BJ5ZJOSq4Qn2hESnihBY7ztDuR9wHvPE71bs8w3jeQTStAADcfg7a0lmvfVb760beve+Wbbd9J7bI+BgtDUcyctoxYYsSWkHhIuUY2eiLuKC8fa8I5xwrKqPJHLvziuX1xUwSvT8SIBAC/NEAA5EZQCGiJd0wFgaWll7MWrH3/88dGjR8+fPx8fH5+ZmREaIkJgTCNEALAsi5Pd2tq6b6D/xPGjJ0+eHh0dOXDgwODgYFdXVy6X03XDtrnUEBGhF2s2uBIIrwDVWNQy4lLDLtRxmmOI3roZEZATYyiWyI15oncF7+skPm75vHsePY17DAgdw2POjeOM1L3N+MpttZ4hUHS7cCDOuaqmEXB5opAoRukZFF2h+kP0Tg65Q+VyeW5mdnp6emri1eNnT3+8//Dp06eTk5PVatVIZ8RhnHNu2USUyaQG+noGBgb27dt38PDBs2fPHjlyZGh4Xy6Xq9ZMsoFz7sS6BqEVAvfOUHNHRlVCGOtKpnqngozSHb1d5ZsI1EjY4GfWxNUJGYCM842yVtHYFeo4Trjk1mcnI+menKNuleoNTC0az1ji9saMyMrvxo3iNxls/lzeiT76fR1iEgDArqzo92QH8o7hvYljnSBBgncIOydwwyEDtsSqxM3SAsXuhKbZ3ul8s3nk7iA0fLoDp2cLbbgAaKr8gOAocECksoBkdG0mfpMyExbck2VZ1WqV21Aul8devLpz585XX3199+7dpaXFarWq6zoA6CkDAGwCXdN0Q0tp+VwuNzjYf+zo4U8//fTSxY8PHDjQ2t5m27ZtE+dUq9UVbxEMkETOriBDFAGRNrvRfvTP7T0wlsxd3g3EPsK3jAbuLe8qQp8bBxCavmAqeveHUBXZtm2aJtO1TCZz6MjhQ4cObWxcfP78eU/3Vy0tLZlMZnFx0TTtumValoWIup5CJNumVxNTE1Mzt+/eOzA8tLS0VC6Xa7Vad2+PpmmGntZ1HZnmdZ7upQFk6H2lvqI6IuJSzO3471TxwHUPDpyCvsjfEf0qIgqNZuPL7SI+vEXXVj+0bU8kEiRIkOAtI9ETfdBIqNYEDdC0raZ5b6zm9zZpV9/GDGzT8rekD1dPaaxLDxfe2D9uq1dvjOBd++NYR5Qf6bnAwUYU4V+jobwzHACkfwdTxEckIpXYAD49kTyAGPhlAuK30BAZmo6Ia+ul8fHxhz8+un///vPnzycmJubm5tbW1qr1GuccUca6tm3btq1CodDX13P82JFz584dOXLkwIEDfX19ne0d+XxeM3QhIBLxs926uW3irNP8X4Ga8Tq0XeoLVPu/KNj5TY7+CGT2NHDlR3F+Z2GE3cjeuEtZU9gNY++b95NqCMkCNqPBeTOUTZw6Ut3bzLyoQf0bdJIMYGsvX4BFlY6eYScsxe9MbkEUTlVOn88dP1bveYicaEKW6PRRXGiLxPZycWNhYWFmZmZq4tWPP/74/fffP33+fGZmhnOeSmUYY8BQ9AmImM9menp6BgYG9g0Pnjhx7KOPPjp06FDfQL+mp2o107Ztlc0B0SdoUumjyf6BB4RFavx7YpJGiuSDwlvCIatVksjtpTb9uJqKf78Jmh/jVGznint1jtq4X3q9vuq729v7S+MAQMK3WvkNu3rFXUSiJ/oAsNXYCz7s1Q7kXUKiJ0qQIMEbQ/OGuGaOfE0rsW2b5d9Ds+GWBlRVQ4RyFedl7wofjP4TnR/kBBmRnItY49UqVatulsuV8cmJhw8e37hx4/bt28LLDBENw9A04WGBiJhKGel0ulAo9Pf1HDx44MKFC5c/vjQ6OtrR1QkAtmnZxO163Xd3xIjI9elgDIj4VucTHH2hQ+KAiJHz22T28g6gsWDsreH1iYl2rVtr3iYZdLbymBTVw07uIiJ0/D3dEx2mVSoQERGAFVpbWttaRkdH19dP7d+/v6WlpaOj49mLF6urq9VqtVKpmbYleCUAKFeqq89fjI2Nt9zPj78cK62tr66ujo6OdnR2G4aRzmZ0PeXSUowxDgCSyfL1gW4liSjw5gQ0lXEIaIjkuSgbIvBsdiICTZAA9q5eMkGCBG8B772eSOB9W7ztFhKqNUEDbElP5Nigwmg+/kXzsTlUhG167uSZNWfBa14L0MAqyKOOCZy4i2jeMtnInrmpqkg5SwVzTveph5z1jG9vMIYIQzfsiAhBLbc7EV5dDREh6oylUjoDLJcrExMTD+4/vHPnh6dPn05OTS0tLZVKpY1qxbJsoRcQ59Zq1Uwm09/Xc+zYsUuXLh0/emR4eLi7u7vQ2pLP54VXmhvFlpSKhdelbqAQlBmIGAAw8PREtoydxMCNT9QEXD2RuLh7RSdbUrN6IhXvr57o3cJedvtq3N/uyGa7bfCYBWnjzIne2QAiYpFLxDDGRJnEQ+8Y2QCgaQYAWJZVLpaWlpYWFhYmJl7duXPn9u3bT548mZubAwDDSDPGAJhQMOk6K+QynZ2dPT09w8NDZz46c/HihdHDh/t6Byxu12o1Ef+eoQ6hbgQRGQqunKnbicjNfRbWEwViG4nxDMm3S+WJwsS0d5j4U22G0JbG27d6jB/vZXyiAJpZd3jHkLLX/1wa67wa6/s2h1O+V4fmNGXbi1/2hvDhDTEJtoZ3oQPZ60j0RAkSJHjX8ZpImS3FCWpsz9/rUiMi2vnQ6Quc4SeJ1O1iI+fcF5VWSWmEiJqmcc5rtdrq8kqpVJqenn7y5Nnd2z/cvn17fHx8dW1NaIiAMcMwhEnfMPRsNtvauq+vt/vgwQNnzpwRGqLu7m5ArJuWqiwQoh+legwAXbYLAJARYsQjE9Wj10AIEHkCBAJqTBUlSPAhoMkJvUv1upqdSA0OAIgeQNO0jq72js72Q4cOHT16uLu7u629pbev++WLV2tra8ViuVwu1+uWOIVzWFpZm51fTL0Ye/Ls2eLi/Pr6+vz8wv6RAx3tXblcLpPL6npKjb6vVoyAgOGWFBou6y36w8iRAwkofqHfQFWUdCt7FU1KAvf6XCJBggTvEz4QPZGKpIf1kFCtCRqgoa0mpEwRu15jdeKiAGwVu9sD7DwSQfOKJxXbi/UQqR7iziorFHMneLqnu4l7NyKpIulcIaIRQUQuMwAgmwMAIYhVXMpI1c367PTMowePr1+//ujRo4mJqcWlpUqlUqvVTdtSa2LVTV3X2jtaR0dHPv3007Onz4weGunp6cllC5lMRjN0RE1wSVGVFt5tSuBYESGIPDu/P+C2qsYicHzN2BYHUo7B+ESgOKowiFYVvVtdc2LsfT0Ko01VjZuuJJtXB0Tv3UJsrIa74/REoLw8LOpkl272PlJni+8wp+cJhn8mYowhakRkWfWNjY311bWlpaWpiYlbt27dun37xx9/nJ1fQESNGZqmAciU86m0nk2nWltbe3p6Do+OfPLJ5fMfXzwwMtrW0W7bVDNN4N4TF/nLkBEiAjGOwET4bRHFjEndE2NMRj0jr7cRd63+ViG7vqj4RAAgqDKEnTugRWhYHKdgd7x4vSr+d2GOup2Yg2FFz/ZmUJt9iVvTbsfWYW8KVpMhJsFmeBc6kL2ORE+UIEGC9wmvL05H3OXe1qV3FcgBMGLiqNilAzbqsMk6LA7yHQzgJxZV0go0TdM0zSZumma5WFpdXZ2dnX35fOz+/Qe3b98eGxtbWl62bTuVSqGmiVTWRKRpWjab7Whr6+vv2bdv8NixYx9fPH/06NH+/n5N122T27ZtcwCwAYCL8EMMkXvRcwXpqbp+SJ8z0SqvbT6hzl4iWzKZyiTYLhos0bnTTTVPYUP4eIz5HYHtvsXoBhtyvpTIoEUqRLcQWZpPcORsEZnIDMPo6OjoaO84MDJy8MCBtra2zu7uoaGhl6/G5ufnlxdX1otlkToNiGpVs1gszszNT0xMzU5Pl0qllZWVw8eO7xse7u7taW1tTaezjDEZ5Vr5xl03ONETCk0iIiJGazm9DoqAHMYnrluI8jsDoF3sRhq9MEln9Q7iXZ6rJEiQ4A3iA9QTCSSqIoCEak3QEDvWE20vNlDcMdvDzqNvNDpXbaBwDAj/9mg9lJPKWT1mmzkd5HNp1KdHpy4iIkDuKGWCcTQaXDFuV4An4kCI6IsY4iU144JBYoylU2lu20tLS8+fvrh27doPP/zw/PnLxcXFaq1Wr9ctbqvXtCwTEfPZ3L7hwU+vXP7444+PHT/S39+fTmVTqZRm6CLCCEgHNyBg7u3IqB/IAUB3vDqQERIDRDcskdsIDJCIpPYhPtdbgwZxNUfiNwC47RwSE/GApwlKdYBSoNy+1/GhGnv3zgKsed1lszqI5nsn99k3eNgN9EQBqFSIiB4dVtP4SW2huOHBY/y1ISKhNhKdA7eoVquVy+X19fXnz59++eWX39+8+eP9h4trK7quC2ERECOwRfpFw9Da2tqGhoZOnDr5iz///NxHH/X3D2YyGZEQzc1+GIxAhFwEOPNtcWMSOXfqnuiBoVBlhr8gVeYZzSVtPsp428PlhL9lP3XVjCh1O6PbuzBHVWOrb/HuNonqGD7GU8V62tNgmWKvUp+GA0bzEaz24MDzoQ4xCZrFu9CB7HUkeqIECRK8JrxJNrZx9Oi9YD2LrkN4xNqReXY7vD8DsFX6w+VTtkoSeY5mSrAhZReGSuaapjGmW5a1USpPLk/MzMyMj008efLk/v37z569mJufr1arqVSK6XJZZVkWYyydTg0M9A8O9A0NDY2M7D9/7qNjx48MDQ1lslngWLdM27bd/NaB6qnLNqFWQIcbQkBRSxkd1lf51w43NhMmCWcSbB878clturQtOJ7tfoK4ZhaHwhFt06LE10ZEnHPGmJE2jLTR0lroH+jr7GxPpVKD/f2HDh16MTY+PTuzuLi4trbGOdc04bBmra7XFpaWl5ZWVldXq9WNycnJgyOHhob39fX0t7S1plIagia1RapECJGkKxy6yREju31fF4oO+xXayxQaLa4Q9+Cm4lX7T2lwmHOw2PAh21+3c+9JR58gQYI9jkRP9EEjoVoTNEDTtprG+c4aY0t6oi3RPa8jDlF0yeFmCumqvFNEnIvGfgReyeTN6n053H2RhtRayfZERCKxPmHKJRCA3HPFQiVUTtCqHPmM3IWE/yyxy4sVIpU7QODkC0NOrpiIMWYYBgNcXV2deDV5/fr1W7duPXr0ZGZmxrQsy7JcDZEsh3MiSqdT3d2dH188/9knn54+fXr//v2pTJoxpmkoYo6I+hAyR7rjtQw6EFcXQiqPNiIpNyBEkddM1tnnJMbc+jQ5ejapJwIg9Gc9kz+Vt+ndUhV9eMbet05GQ3ystGaym8XFLdpG/kcf4nSXzeuJnHOR/Ke4H0pUX8RCuwBQAwAE7nRKwERvppbKEQBs4rZpbWxsrKys3Lt379///d9v3brx9OnTjY0Nw0gDQwRNOM9qDrq6Og4fPnzhwoWf/+zzY8ePd3R16nqqWq8TEfNri8CJkeTUyuuFJF9MagwgpfqKNEmNXuSopeIi2TUThQoCxxACEbHAE2sEkQ1AVRi5vRxu9hZF412eo8ZFVGz8RGK+TaW7b6wA8u/dql67mUhGSb6zBO8M3uUOZK8g0RMlSJAgwZtD8yoVJZSGCLS8hbFNZWoiSA3kTnaeKHU5kYiaEdro88ZyD0DEwK00uDVkxJim67plWdVqdXpyanJyenzs1fPnzx8/fvz8+cvp6eliqaTruuM7hrYtFmOsu7treHho3759B0f2Hz9+/OiRQwcOHGhpbSVC0zQ5t7wWC+UIctdX7tpMZbKi5g0RvJhaVKARtgHECPmXmvUsQYLXg+ZDFL3T4E6UeoWLFf8SoeKDhqK/c7hvhgwAUoaBaSOXz3Z2dqbTaV3XDx488OzZs7Gxsenp6dn5hfX1dQBwMzPWa9b6+nqlXC0XSytLy4ePPjh48MD+kQMDAwMtLW1CgmTbtpsq0SfYIUbAVbklcyJzq+OFewoRAdvlbiLSaIHYfKa2QL8q/mrwmn0Ib2AYH+AtJ0iQ4B3GB6snEvjQu+yEak3QAFvSE22WhScyL0/4yMgyIfRpv74v9w1ZzyiYNaZJcQoXDEg4cGm4fNePKVR+WDEEzhYesC669fQjylDvlMyVYUXYooXpXm4kpmkaY6xcLs/Nzt66cfPq1WsPHjwYHx+rmXXOOeecnBxkiJpI/6NprNCSO3365E9+8umFCxeOHTuRy+XkJRzeR2qOKHDLTHh2MBmeGgHATU4Wpn4Cf4abMRyfSG0Ev29HI4hihc7Iy/8GoImLN6En2vt4/4y9ccrBKAs/h73+vFgT/bBAII0aa97trPHereqJwkBS/EkJiIhQpTwaZYp0eSLPfypCnST/tG17o1RZWFi4ceP6F1988f3334+NjdXMuqZpqmqGMcYYQ8S+vr7Tp09++umVn/3sZwcOHMgV8sJtVqWuRJQi91zwuiaOxBhjon1QiUgt74t5GiL/1+QbrdDJnoa0ybimkv7gcT2eu5zIDecVS+SU7LVkaFTy3q6oSrp41/VEzSjvQDkGIr878u0KxiSKjyDGIP4r83+nokdqrGBSa7WHdENxeP+GmAS7i3ehA9nrSPRECRIkeK0Iz0Ka53O9lcnb8+nY/Uv7mYWInM0QPZI1zLMbOss/44/WDUWVz4TLAKKoF3dLU/RNvtoKBy4lSoV3DBfLGwRENAwDiNm2vbiw8PLly5cvXz5/+uzp06cvXoxNTU+vr68jI90wxDrLtm0im8jsaOvcv3//yMH9Bw8eOHx49NChQwf27+/p6gaGtk2WVfdVBv2sCmrgz2VGADJNdZTWQAUCIwL0x7SOa8NN/Qcjyg9GbtpWaKkEexR7wQGtAbYXuC0Y537PYhsfo/yEBXvLPWmPKErX9VQqlc1k8/m8rrOOjo4zZ848f/78+csXr169mp6eLRaLui70j8A5r5u2aZq2bZaKa+OvXh09enT08MGDo6P79u03DINzcAhxL9Z1QC6EfhJNOsk6EO5g6inOdlc9iripMUEpDaJGIv8BvqsTqeQ20GZt7u8h90K4wLeIt3PvSSykBAkSbAOJnuiDRkK1JmiAhraazXOm7NhOtUMNUTOy9u3kQVPn06jEZgrn35HHx2xvUD4oESiEldu1DKtwbbnqk4qc64ftyVEPV9UZ+eIfkRJpQq2VGmtJKUVRDym1QtBM0yyXSvfu/iAM8o8fP96oVhhjnHxebIgMETQNDcMYPXjws0+uXLp06fyFc50d3QAQdrigUI6eIF+GXCkcA+3pEWqOVsg7XZxIDGTQEldKwYGYvUmIXhIBiZizYnNn6m7mN3EAaLL+iMiE31mMnsjZ8m7gwzH2hmOCNNbRvA00E5sm8ki+mfKoUX+uvgFRzDcFuunIrGRx8L5Z5OLcKPlkdD3D3K6rRRIUDDllKr0fAwAGxDnf2NiYmZn55ptvvvzyy7t3746Pj1vcBkUfKnsasg1NHx0dvXT54s9+/vPLVz7u6OjQtRQiciB5sBvyTGWliYktbkz9sHrI45VQKjcDN+W1Rkjv41MD+Xp772k4HaMNjievanuQxzjPy62h227hApWSKW5XAHt1jtrM/CcaUV9E89Gjmoc/tlF8g0VpIYN4680dhw9niEmwPezVDuRdQqInSpAgwa5jVyxme8vqqNJDrjsSF3ZfwYz4jo78CUAR6xMX6nZ5IeXPKDtvqPxm/ddCJXkWY+V05AAgAi+L7PJSOqTWMExRKTcnwrsyZJVKbWzs+bMnzx89/PHp06cvX76cnJxcLxVt29Z0XdM0RE3EITJNM5vNDg3tGx0dOXb08OHDh0dHDu4bHuzt7dX1NHFucVtUBpwHAdKlzOdE5qzTCFlwmhxeHzoHB9skdjohGaVNZhtCLdD4eSAiV1zbEGELIUES7FHwKP+OdxHbyyHwGrGpdi/gKBpBmkdl8iJH+QgATg5EFDtEz4CI4nvXNE0DaDMMwzAQcXBw8MqVK0+fPv3h/r3nz5/Pzy/WarVUKqVpGgDYtl21a69eTdi2PTc3d+f27aPHjh0/fvzQoUPd3d0cyLK4bdvERZUU/y8AIpKSIsdmoDqgeWOQ2CNPZELH6R4jWCS5l0JDTKjHAwgkqfQ1uNrnhxtQlMZJ5o4U9VHuxue2Jhs6WbO9GTS2aCRIkCBBDN5LPVEzaoX3Yw63UyRUa4IG2IatRkwU41+g7Xx38X7128Q2vITCTSE8A1T7ajN6InevmN8HtqvRfJCERslnm/WIKn9sCEQEHrHdvVZM/UFqH8J7fbZ01aIuXNI01/bu3BFnjHHwWkPGChERjoimpqauXbt27eq3165dm5ubczKtMUCUVnrGEFHTEBF7e3o++ujsxx9f+OlPf7p//4hw6BDJztx24DIzGbl3ETaku5os55adxPM+BzkR38FmjDmxvUFdZQUfnq8NAQC4iH9E6P52L6dWBlwtkqixUisNEBHFFl9+I1VVRG+3Z95OrIrtGnvfgbgY4LfDh/VE8WgmjsnuQkhSttGem1Zyp88o3Af6NSmKTjOqGw2+YMRcLV6AUgEIKpXUXlH97f1wHyfnmhPn2j0GURP9Fee8tF5+8eLF737322+++ebRo0eLi4vkfvGKaxgSb2lpufjx+Z/+9KeffvbZsWPH0uk0MBFZn5GSWUyQO5HKILdnc+vpy0fGIk4BAEHdoK+f9HpyVZeKTpDswBAm/nTGJo6ITqQ8hggcvHHKLQcRgZAIXJ2Uq431R+ERAxVEIlIXhs6oEdjulhku4XV2nlvTFrn303SFtu8nEadqfIcUQ42R6IkSNEayyN05Ep7og0byCSVogO3yRMIbK9Lta3s8kShz+wiv2Js/UdUQ+XcGeZwAT+QuD2ziwRm/wumo19KQoeKjBJvN88LHNHOucznxnx11a2CTJerp3oVQ8KBcmzEA4I6JGEnEnEbBEyGirus60wBgcWllbGzsx/v3Hz169OzJ01evXs3Pz1dqVcaAMYZM55yLbGWMse7uzgMHDpw8efL4sSMHDx4cHh4aHBwsFFoRUWqIuFdPwROhfEZEapJpp53DPJG63dkq/VYQUfBEW3pJiCJ4IvWdUUvTlKdhg/dOMoVeFX5nMlyRs1aT2gYCgi1TnLuEhCcKYgc80RsW5myPJ2qmkm+TJyKnhh5p4nzL5M/mLrkVhcVoUKUwT0RErt8uIjpiRsYY0zRBf8D66vr4+NiLFy+ePXt2//797+/cnpiYKJVKRJhOp0UFOOeGxnp6evbv339gZPjQ4cNnz549duzY8IH9mXSOE7csi1uOC1iI8RFX1fzfDiLG8UT+u2KCJwp0krGNIArf+m9PAOv8VNoTAUCXiw7JUkHk6BnS1fqxNZ7ojSByttOIJ9pKJ57wRLFIeKIEjZEscneO99LvbK/PLxMk+ADAGv6564jLucaVeaqaQ8SDp8j2a7NVesilGFyjMpI3e/MvYbi4FgGhPJGTJwZRk914dlcu1v8EnHMRrEeCS70POfUA4QLGlFm4CG8h7lpYpwUPBYwYao6vhHstJuQr5NVEXkLeFwPgDJA4OV4MaNsysKsMyiQjECERIHBAJEJyViy2RZVaFRHX1tZevHhx586dL//01cOHD9eLRdM0dYOl0mlxUURN1xkzWCsrFAqF0YMHzpw58/nnn585dbqtrU0zdM65ZVnKSO+9RQwlTUUAyAS1Em1L954KIgvvQt8sfKsTCHVFA5LlEW5jaAMxxtDhthwhgGht0BwjjVuAeKTyAKCINxWjJvivEW9r3bX5OuetQamQWqttrfqaCaC2K3h9V9nNN8Qfuy0Y8S3ieNk7id8+p1HnG/QhUkkUgnAiZmp9EBCcbF+q5YBzTjYnBEStpa31zLmzx0+emJ2eOXLkSCqt53OZmem5UqkkQ1YjaJrGQJubW5ifX7x774d9g0NzM/OlYrFarQ4MDDBd0/WUyAUJACg4a+aNPgw0ACC/TxnnHBgLiQ0ly6YcSaKPt21b8vucSBlouHt3sq24WwcfH4QcADRkYrxARPEbGDLUUQUjTdReuMs5D8QZSTW3L5PjDiIRCGmTyj1thu1EGHwNiLz026pPOGNaEHuoR02QIMHexnupJ2oGCZcEkFCtCRpiB3oi2HEUanF1b8KPSpXCFXAjcYoUVyBZDFLV825G+cDpLv8SVYGoP4XNlsvYEKFaKbM0xTYOUsmiIUQ0n3qPG5VauVwul8uVSqVaqdRqtbqAaZqmaZmmaZocbO5ATPQFR8N0jTGmITMMQzfS6XQ6lUplMplMJpPNZtO5bKFQaGvJp1PpyDpw4sCRSAQA4k5M6yBfJu6FE3LOETgiMsZQY2kjBQDFYnlycvLBgwcPHjx48eLFxMTE7Mx8sVi0LAuQM00TCy3LsjjnbW1t+/btO3nq+KkTJ0dGRoaGhvr6+tpb2wzDQI2JG3SuywAAiKnMjmw3RuCsXiCk4iHlddRiXl15fCjnfTPwxbd2L0rk+JE11Z2ik+9MVjAU8Pxt+J3Fca/NYufG3r3ME8WjmXnIm+fgXoeeaHslq9fw3pDGvrqbhrb23jWhDfTzs1HHewcoL6p8LiofpELVE4Ez7iBqgKhrSES1SnVlZWVqeuLFixdPHj65e/fu7bt35+fna2adMZY2UkRoE9c0LZdJ9/T0DAwMDO0bOHT48JkzZ44eP3HgwIFMOmPZFrdBJETzPM6ETyoGfWzdppNKSYaMCQVixHOxbbu0Ud7Y2CgXNyqVSrVardfrtXrdNE0xwtiWZdu2xU3OOdkgKCSXPwJGiKihzhgz0rphGCldy2Ry6Wwmncpms9lCoZDP51tbW9Npw6G1Zawu7/k47e/vqIX2kwB8CqOozA+qnmiP8ERbwOvXEwm8G62xQyR6ogSNkSxyd473Uk/UDN4NZXuCBO8sAu4V2/viKDChkpyLXDNHlqaa68mZfTa6RkClQQiqf5NTlq8MRCf8jmMLVXYqObNkmmInAw4gt7ll27Ztc84tbluWRTaIv23brtdqGxsb6+vrxWKxVCqVSqVKpbyxsVGt1qvVat2q1Wo1s1Y3TdPitm3bZHM3ag8iMqYjkggdnUqlXIYol8tlctlCoZDPtbS2trZ3tLa2tmaz2XQ6zRjTNE1jhqZpusEYY4amI6KmaQCaLdcIYpYv7lfO44VJGpAQUAQPsur1cnGjVCpNT08/evTou2vX7977YWpqqlQuG4ah67pmMBEOgzGWSuupVEs+m9u3b9+RI0cuX758/txHAwMDmVyWc27bYp1ke0/Z9RZBDjLirAbAGQAARxnXyRZcGWDE4qLxm7dVd7NmwBxmB+Nz3rtpf0QUD4DYDNOEQODzpnmzo9jbGSv33Gxu1yrElH931w1tq7xe3JEs5pi3FM16ExpJgWR7Za8Ypx5yt7uim4gLkrQuOH5SqPBHXCmEA0G9zhljqUx6YGiwf3DgxPFTRw897u3tTWVTz58/X15eLpVKpmnaFjE0AKBSqz978fLly1fZbPrgwYNLC8urq+vFtfW+vp5MJpPO5lKpFBPKHdnjRSsf0Rkk5Y3YvF63hW7IsixukW3btm3atl2t1ovF4vr6+vr6erm4XiqVNqqVarVaq9Vca4RpmpZl2bY4y3btEPJajCGirqHo0lOpVDqdzmazuVwum83m8/mWttbW1tb29vaWQlu+kM1kMowxnWmMMaZrmqbpuq7ruvCwDviXodNvBx6va48Jd+sO5xI3E4h8Y1nUMc2gwTe1STkqN9RcF7JbX9lOxohklZQgQYIPV08k8KH3gAnVmqABdqYngqjvcZtxrAmIgYid7MUDEtENnEo2+vZdYygouozw3blaeuDezJiclDHuddX40OH4Gu7aQ0yF1e3CFr2ysrK8vLy0tLS8vLq0vLyyvLy6urq2WiyVSpVquVarWZZlWYJNsm3b5JzbNnHOiQR7QuTmweGyTGfOzUScICHwERC0EWqSD9J1XTeYmNm3tLS0t7e3t7d3d/V2d3f39nX39vZ2d3YJxweSTBtxkxORXDCAjYhkSx83AEgbKV3XK5Xa9PT0vXv3bt++/eLFi6mpqeXl5WKxWK3VRPU0TUNGnHPL5Ll8pqen5+TJkxc+On/o0KGhoYHu7t7WQksmk2G6pi5LAGS8bZU9cf4nfPeUGCUIAJwariEbvLqIuHM90Vb5JrHGcxZh8l4YsmAiIvX4KOXa68FOy/9Qjb1bVeLsTZ4o7pjd6dWdcpvWE6mI2h141xj69I8Q9W1GDQQ+NSh3fNDCd01KPgHVruD2vZZlbZTKa2trC4tzImjRjRs37t+/v7Kywm3QjJSmaZxzJNA0LZtNd3R0dHd39/X1nTx94tKlSydPnt4/cgABLduybVtJXc/UqwRGGQCo1Wpra2tiiFlZWVlaWllaWlpZWVpZWSmVNmq1mmmatm2TLXRDtuDlVWmqIKYC/bAgceTg4h9lRJ4Bd6zRdV0z9HQqm8/nCy25tra2jrb2zs7Orq6uzu6u3t7enp4eoTwNIzyeBvIzIKKqJ3JzXChVRWfskjOE+Dd2G/3bFuIQqXhTGiIV29eB+uuwp1dJH+oQk6BZJIvcneOD1RMlSJDgdaAZ6/SWQUSAPBSygDs7oxbnUnmk2u0BHF0GCiWMUh53IsKQiPDsLUY07vivhSNPOxp6JmbPAI7THee1alVYaGumZZqmsNkW19aXl5cXFxfnFxeWFldWVlYWFxeXl5dXV1eLxWKtXrEsS0zBReYvcV8MEBjKqJ/CQo4cERlIJ7uI9DToTPQFr8QtIuJcZu3RNC2dTre1tbW1tXR1dXV19/b29vYP9Pb19fX19La0tGVyacMwmJ4yDCNtaIZh6FqKMQYIRDYTKZ+Jm7ZdLq2Vy+WZqdlnz57duHHj+++/n5gaLxaLrulY13UxVGuals/n21pa+/r6Dh48cO7cuYsXLw0PD7e3twOAZXEiEgGt3ZWA8D0EAGRExBnq7pNF5RkhaI5zH/O9JEpc24D5OniM++S2grDHGTGkkA9aA3hvlOKcSEDNzdBfxwz+bflxbH7dPeeDFouwEicOr1ubE1f+VvkpFvr9uiITiVg2KnxXiiOQpPhHfu9iU/CQKJLIhRudjYikE6oUmvLASOH0OYK/psB2IKnEYYy1tre1trcNH9g/cmB0sG+wvaW9s6391atXCwsLa8VyrVbTEJBpAFAslldW1sbGxrPZ9NT0RLlcXl1dX15e7e7tyufzmUxK13Viwr+WMUCbLMuqC21pvW6Zpil+V2rVYrG4srS6tLS0tLSwuLi4uLi8uLi4uLy0srKysbFh2zYiuRofDoiITMlPj5pHPKk/SPBTzOcXJsYXABDjC3C0iXNucc41zUin0/l8vqOjo7O9o6Ors6uro7e3t79/sLe3t729PZ/PpzLpVCqVMjKpVMowjFRaZ4Cev7MQsfq9z4gIGFMerqfedRaEjZhBB9tWOruHbZVdfZPYy8xO4x4pQYIEew6JnuiDRkK1JmiAbemJpH0PAHZrzenoidQY0gBumIO46aDw4uHo+ChBQKNBTj5gkHX1WbadrOuEoDkslb94kmcxEZvHPV7kprHs2dnZmZmZqamp6dm56enphfmlhYWFUnndrNUtyzJN27Qs07Qsy7RtW0SF4GC7JQg6yGk74T3nafUFLSIjmwoeRL05J+uNO49XDcWcc9UOnEqldOFEkNYzmUwmlW1vb+/oau/r6+vtH+zv7x/o6xkYGOjq7EmlDEQv6VatZi4tLT18+Pj69euPHj0ae/FycXGpVCqadh0ci7eorW3bmo7ZbHZ0dPTTK5+cPn360KGDPT09uVwhk8noui7vEtx8asCYayJmAJJ6cZ+F637lrM3U9aFz40pEj0YyH/JWGtEHxEOY+DXfFgLF46xZKDVHJbdR+Jt5/VGKdpMn2koH8j7xRCrevJdWMxzQzvvn3VkDh/2JZMxjVI9RrhSnJFKtAj7NabR0FJSXUFUGCY9aABCaShF/OlBDn7ZUSFAVnanb37odICKatXqlXC6Xy/Pz83fufH/t2rVrN757/uwlEWmaIZIMuGR6JpNqbW3t7e0fGT146dLFK59+cvDgwc7OdhEPWvT5nPO1tZXZmZnZ2dmZ2fm5ubnZ6ZmFhYXV9bVKpWLVbcuyOLdqtZptk2mapm25TmSiRaUQiYmMY05sbIwP5yT9f7lH2aA3hnJuochm4EDYNqQTtC78jnVdZ4aRTqVSbW1t7e3tvf19AwMD/f39Q4PDQ0NDfb3duq6rPBGIkHmh9g9SfmF/NDduFID6nsfc3TZeY/etdAtvpDN6s3qiOI/RreJ18Fy7zBMleqIEjZEscneO90xP9Fb95xMkSBCB3bE/+7t7T3MOns+Rf74o83l5OV8C0zR0wsbIkhXGgQCIEyDnACKQNnPqIAU+jDFg6EiH6rVqpVKpVGobDtZX12ZnZ2dnp2dnZ6dn52Zn5hcWFpaXl2u1mri0rutiISH9whgxxjRHMQTgs+Wqo5q8HdAEaeataoQlXNYTAMAGQmSSeVGct4TuyeZk1UzOOS+WAcCy6sL1QGOsUCi0dbT29PT09w329vb29Xb39fV1dfUUCoV0JqfrBhHZtl0srs/NzT98+PDWrVsvXrxYWFiwbUvXdV1nqVTKfe6pVKqtvaWrq2uwf+D48aOXL39y9OjRgYEBwzDq9TrnYJuWNGIjijxf7moNAIQnnTDxI3EnU9zWEJwWhHil0PGxEYXeAFAJmRWWVyic1255A4W/zb1vQdlpjO3dhboOjFoTbpW72d5MZqtPfCd4Xa3tqnXCrpeCkwluBA4Y+UVzAOCCfY66imt7UEt2ZSle/xPqByQDRYwQEHlcT0FEZHNOBAw1Q2/r7Gzr7BwcHi60tmbzLblCa2/P/enp6ZWVlVqlYnLSnAD/66Xy8vLqzMzc1NRUuVja2KhOH5sZGOrPZrOIaJu8Wq2Wy+WVlaXZ6Zm5ubm5hfm5ubmFucWlpaXV9TWhSBXDCmNMxJ5jGoixRqhJAUD4cTuDi+S6GWID9pCIADTyuiaOgIAMgAtaXwhhOeeMScLINO1qzSzxDSLb8ac2ASCdzra3t/f09PT19fX19fX39w8NDfX29nZ0dBRaWzLpXC6Xyxey6XQ6ZegAIlOl06qEnBNj3pBPqCS8k6QdA6+r9L4mGTDQuUcicrgkCMUzat5nc3O8a6vS17eG2vsjS4IECXx4z/REAttTU3+ISKjWBA2wS3qiHa3lxLQQwGezRQquo2Jyo/hiN8h8wCo4uf5ZPmWK2Om5MgGSDU6DiPm3K2kxTXNpYXliYuL5yxdjY2MT41MiOk+9VhExQU2LWw5sxzqqym0YY8ik/VmUiSJWjpLaJkAeAXghvp3Y3oxzLmghToSIQtuCatAJQgAUGWzc23H/lRocAtSYrjMZcFQuOCCdzrYU2lrb29taO1DX1tfXi6tryyuL5VKlWq1WzaplWcA5IogzSKaOtrq7u8+ePXv+wrnz5z4aHh7O5/PZbNYwDMaY8CxD4sAQgAGiyFXkZHTm7l0Hnq/L/UkVmD8JmneAcAwLZwhSV5XxeiL1bYl85+P0RE3mOFOqG23xVk33AvFxrHeLJ9pNzuV16oneFZ6oed5HdWnZIU+0jWXe22m9uPjEkjKWxwAIh1IpEmQujasqiRA9ywEAIHEAL8dlAPG5tJwDoqLX+SpITLikgdvbKH5Y7ikiyJHbzxOhaZql9bXl5eXHT5/8/ve//+7a9cnx8dX1UiqV0jRNtAkSGEwzDCOVzRQKhcF9QwMDAz29vSnDWFlZWVpYXF5dKZVKtmmZZs20LdM0RbxqiyuKVMYQUUNdGCHEcMMYkwpcACJyFU8AcrTw9zCht0JJfuZqiACAyCYi7qpwnTGFe88JRBpNtxldr2TGmK4zQ0vlCvmurq6BocED+w8ePHjw4OiBffv29fb0uhUiIkDkxL1OmzkDGyICc9+HyCxp4FcYKRQSbL0/aaa/3bmWZ3uI0BNtOpbFX31Pr5ISPVGCxkgWuTvHe8kTCTTTz+7pHvANIPmEEjTAtsbgHeuGxCWUOjg8EQOHE0GFzREJkKPm/cw1DqMjqnFmrRSILOPeKUcOwOR2v7+SpmnC/lypVUulUnGtVFwvrxXXV1eWFuYWZ2ZmJiYnp6enZ2ZmFxbmi8WimH+7Hl5CMsMcqzUAiOm7vAvP18zXJyMBgKBRHGGRL1Kz4DuUmKOCnQHbkVNpYmouOC/kQS8Mx0/K3S6n3Zxzk9tEZNumZVnctBjTM5lMPp9vaWkFpm9sbFSr1UqlgoipVMrQnMWGpNJYLpdra2vr7u48cODA6dNnT548efzosY7ONtOynMTSINcoxAkBUSPnHhHcyNzgkH3+/pyheIQEtm+7s8YO+Js0oyfCUBzr4Mow9NqHWSH1hWkMlUdw40kBAAN0n2/Y2yWKJ4LQFqb8u1trnu1gdyfxzfEvb2dM31WeyEXcc2kyugqPb43d8kzZKWJ5IgAIOZm5nTnI2PZBXzMVPl8wTwTkKzOSLUIMhnB2rx4o070JJ6OCsCWgd4yTD0HtFgQzYtv27OzstWvXvr9569GjRxNjE/Pz88WNsqiApmmMgIjqtmUTFwkHOjo6DMNYXyutrq6WSqVavSIsFqJM8ds1Ngh5JnN4IJDCTC2gTnW5eLXdEJHLftVT8QRUOaB83aT8crfL/tlnprHFyCJoCyG3srnJLVvojAzDKBRau7u7BwcHh4aGhoaG+vv7e3r6Ojo6WltbW9vaWlpaWtsKhm4IvSXnMkIcyLoq/oakSMOUY1QlpqIkgnieaNNv1u93pnz8m2kMG2OXFT3KE0x4ogQfEJJF7s6R8EQfNJJPKEEDvF2eyJt8NsETgVhsK/X1Z0MDAODk+RSEIxDLY5ADgCZyq4Htrkxk8jBA0zTn5uZevHz1+OGThw8fPn/5Yn5+vlws1et1mdDdEtnJbCJiDu+BiILrcbcIDRGEhELheXyghv6ljhf7IMATuawHEQJw536ZM1N3WltJE+Pku+FEZLvGfM4BOOccuXsrjFCTixnRKgCMvFWcbduZbGpwcODo0aOXLl08evR4Z2dXoVDIZTKGYQATQipCRHUNo7SNxxMhIuciVkhQO6auD527kLP/WHrIK6Ipngg2+wS2qR4SJcj/cwAvnhQo69vAyja8psUGcgiAhCd6k3h7PBHE8EGNn/s7zBMBROkBkXssEgDA9nmiuJc2hicKPl/BoQgNkcgL6VbMVdOITtiyrGq1urSw+Pjx41u3bv37v/9xbGzMJg4cNc3TUbrjBSj+xaIoJsKvuQOK0506g5XkiUTdEFGMiQx10Yu7dXbHIM4t4U8ndvn5IDGauLpa74URMh/xyz1eRAYUZh4xBgmeCICJAchVGyFwd0gSN6KhDPqXSmUKufzAwMDI6MFjx48fO3bsyNFD/f39TMQtJ7AUrkoTWdjIY+XCTrvqU1N5Iqcv3aqmL9TH+j9+2jM8EQCorN9mPfDb71GbRMITJWiMZJG7c7xn8Ymax57u+xIkeGexhS/Lna+osyjH3ifj1ICfIZInqsyRayVTGKGAnER6BAC6F2WKzihQeyKygCOinK0C2txeXV5bWFhYWlicnZ+bnp6enJycGJ+enJycmplaX183TQsAdF3wJg57whBBKoaISHiucVljBGIMNV3XjVQqk8mkDENkfjEMQ09phmHoBhNWYkPTGdNlkYyJ34ik5jgjBW6eY5F2x7S4ZYu0OHXL5PV6XSRfM+t1kYKtXq8TEbfdKbXgs+RQqjHNBuHNZgOAbducm2IBQqTrekoDRNSIoaZp2VQ6n8+2trZ2dXfs2zc0Ojp66NCRgYGBTCar6zohWNxmwABAQ0YAXEMZZQIYSHkRAXizWJK5hyImzS7zBQCgWL+bsnyoDBG5s2dofvLgvEVugzV1CigTFIfKAnD4Sp/d232yUdqiKMhFnT/cBmzle9w7Y+Lb9yPbKpp7BcLsTHh782BKQ+2EL9vq1d/S03HSjylb/FRF1Ow/yAGh74ffl9l/ImKYw4pLthYGAyLO5Ygj1SXC1wuIiLiFALqGba2FTNrQdNQMhhp79PDZ9OzM6vJqtVoxTZNzLkY6zrkl/iRyMtAbKCl6n2lB9NKcc0GvI2igpwTS6bT7Q9O0lGHouq65nsW6awvRZLEaY36lpMfvOBBDjGVZdcu0LMs0TdM0rbpZr9etul2t1+r1eq1WsW0uEqIhCgMQOYOL0PwyxrxiLcsSCiPLsojIMIylpaX5xYWpqalnTx8P7hsaGhoaGhzu7+/v6ekpFHJO9VCm9iSGyCg29lz028u5mDO4Q497gPuVucxR+M1Xtri0kBzXth19P66v2AnkvTexSG7Mkb17/XOCBAm2jQ9WT5T0cQAJ1ZqgIV63rSZuck8UzIYLfp5IViOk/nDgzWNc5TkRCUtsZB3caggNEQdGRMKXSmNacX39xx8f3r179/bt20+fPp2fny+WNoADB7LIJukYJ1kGV3SDCKqN19HIECIy0DRNM9KpbDbb0tra2traUigUCoWWQluhJZfJZnO5XDaXzmQyYnKfdvgjTdN0LeVN6920X8rcXczXBR9Ur9crtaoIrV0qlTbK1fJGsVwuF4vF4lppfX19bW2lXC7X65Zt2+DEa3DcLiT1YBGXVmHHHUO0GQdgjBnM0DQNdSOV0rvau/r7e0dHR0dGRvoHejs62ltaWnK5XDotMh/LaBQunLbytEXiNzgUXsTCz4lVJCLUSoYl6H0WPKXB3rCGyD1P7G50bsxVImse8bY7gZPC69XwwQHqE0J6ImGrV05pfjb/uub92+1AIurjih+0iGP2lvU7Xk+kopk6R+qJ/H4uW9ArBcrZNnbzbWleT6TGGgszRODIHb3+vOGHG+CJhPYT/G9sREb2QCFEcXoi8Ztzj2/y5EhkE+e2bdo22bZpmma1XiuXKovLK08ev7hx4+bz588XFuZLpZJtm7btxcVzu19XPaRr0o9MBDYK9J+ImMlk0plcoVBoaWlpbW0tFAqFQiGTz+Uz2Ww2m8tmU+m0yx8Zwj7BDF3XmY7Cz9r1jPbTQ4IRsuv1eq1Wq1Qq1XqtXC5vbGyUy+WNUrlcLpeLG8Vicb20tra2Vq1WTdP065KUdpb2DXQ1vEIT5Jg9LERETQcAETWvq7v34sWLly9fvnjx4sjB/ZlMBgg5p4icd46qSEHj7zHIoThvFJeK1+hzQ9guORSD3dUWNf/lbtJWu1OdnSHREyVojGSRu3N8sHqiBAkSvD5s7sniMjjgX1Q7SiKubkHEsN9Z2AdNlowiOrJTvtTAMxtFmMvgGt5RphAiomYwhBQAAS3OL01PT09PT4+Pj794PvZi7OWrV6/m5+eLxWLdslO6jpomJPIgsqoRF9NKzi0AhsBF1vlsJtvioFDI5fP5QqFVhHPO5XLZTD6bzaYyRjabzWQymUxGTNk1w0ilUmlh9ZVcjExho6OMey1zgTneAQKujVf8K6y7dUU9VK1Wq9WNSqVWqVQEhSSm+BvVSqm4USoW19fXS6VSsbhWKldM0xStZKOIrySCXwAiEudEZHLTIksjjmibZq1Wq62ViuvlUi/vzqYzLS0t+Xxe03RN0xB9pm/wODUZTcNT6aP4pREAqh5n4lUhFvE+xSB6QtAUNxS30Ax7EnjcGaK3qAtRQs4RceX6fMqEEkH1aKDAXqcO7r3s0OSzh2b/28KbV7gAQOxq0NnZ2Puv+TVY2NfsbeHNtLOvHVw1aMSXi77+IbKsCJ9N9UAuhT4NziUKpssU4hWm1JB8n7ZwExMMlDR8kCOlYRpqmkGInBu0sVFZXZ+bmxsfn3w19mJxfr5UKlqWJVSxmqZxzqV3LedCMEQA3LYZA+JM13UxjrS0tBUKhXxLLp/P57OFfD6fy+Wy2Ww6k8lm8+lcOpPJ5NK5dDqdSunpdNow0oZhGIbmxpPWHDDGRH40BA0RXd/egGRVDjR10zTNmlmv1+tW3axWq2KgqVarIoDdhhhaKpVKpbyxsVHaKJdKpXKxVCqVisXixsaG0A2hk+tT+NYhAHGLc07ILNu262XbtomQiIqlDSJaWV5+/OjRgYP7Dxw4cGD/waGhoXw+K58MBy683oC7dgWHpBMkmvJ8fTnRwGGFMMBniecW+YZEwHHcc9+EiPdKPXCbeB2ao8blN82UJUiQ4H1BwhMlSJDgLUOaEFXHM2c7uDP4CI0Gi5we+ayvDIkIQXMn+nFCDzkhtGzh+FQqlZ48eXLz5s3vrl1/9OTx2nqpVquJMo10xkgDADBNal4QmM6YiBIq7K9CUZ9KpXK5XGdn58DAQH9/f39/f29vb09PV3d3b2dnZ6FQSKfTwjJMivsAgY2ItjozFUoozYvMzTwxPITnbapdnflFo4JKEnvE7dRqtWKxuLKysrC0OD8/Pz+7MDc3NzMzNT09Pb+4UKlUbEucg5xz5K73ARiIlhNxw7bNWs0ultY0HWuWubFRQrINTcvkstlsVtNAaPERZYYdYiKnmUcckXA/aEh2IGpEQBCh1lHv3X2mr89qhCGPRYFAUzesQJRqBjf1L9ukXjs5eS9DeHAojRX97b+/eN1rwncSQkMHjnNWgIbe7ANsUCbAZrSr0235Tok8jERMZbABCBXBpkiDubqy/uLF2I8//nj37t1XL8eXV9aq1aqjUOVAIkMZAYAUDZHjHqZpmqZlMpm2traunu7+3oGe3t7e3t7u7u6e7u6urq729vZcLpfOZDRNc9shcvgLtBsAENiCr5HVaNAC3LPHIHmDr1u4bdu1mlksFldWlhYWFsQoszA3Pzc3Nz09vbi4WK1WBQfktozQFgEDm7hd5+JOXc8vAhgfH5+cmPjiiy+6e7s+/vjjT6589sknn+w/sC+dTmvMCATgCysxwy3gvy/X3zmioSKLavSa7bK2aBcQut+9VLkECRLsMXyAfmcJL+4hkeQlaIAdaHqjvSrETCve10BVSXD16q5VUJSGoVgVhMA5Z4ypqnVwPRekFZoxBhZ5sUVlfBmNaQwZAAIsLCyNvRyfmJh4+fLl2NjYq1evxsfHFxcXq/UaR1C9pcB2g5LaAMwwjFwu097e3tnR0dHR0drW1tnZ2dbW0dbW1uqgpaWlpSVfKBSkpTcVTdOT77dv2g3RD4UzxkDJL+P6o8U8qWDcTcvm1Wq1WBYyomKxWCyurQusrq4ur66srq4uL62urKysrKysra3VqlXT4mINgE5Aa03TDKGBSqcLhUJPV3dvb29fX59IXrNv377B4b62tjamp4jIsjgAMPLiVYvaypA/Qi/GyKmlVI1xQnBToSnZ6AKvCoBcvajxof1NHN3zc7FC4ISIaiadbUaqdlg/8PNKgaUsY8z1fwlEJI6IjcK9RZ3g+9yARCFqTM3Wt6k+JfKYnSLyXQVfEKVIbFXZtHf8zoI1b84HrcnSdpEe2l4r7b4fStxYEI4EJN8l0Q9IBaiyXSpu0NW/MPAyoIfhfiyBV9Q3ashNkivhnItI+4Jgd1JtMSKS6TSVmruMCTj+oYio6zoiWqa5trY2PT09PjExNTUzNTUzMzMzOz0zMzOzti7zIYjOjXPLcvIhpFKpQiHX2toqxpS29s729nYxuLS0tORbW1rzrUK8WSjkcrlcPp/PZDKplB7uucj7QZuNLJ7/r7A3qONLUxNF5wOo1WoblVpZeKQVi+WNYrFYXFtZX19fX1tbW1tbW11dXllZWV5eXllZKa6t12qmTdy2bW4DMBJ2F1FJTmRZFrfI5mYulxkaGtq/f/+BAwdGRw8fPnz40KFDBw4c0A2RxQI4d25KYbtkNjT0bplsqQVmjAXu0eXRXPsKAITfq3CftusEkdKfh3u8LfucNmFKCX/Xe05zuoM5aoIPAskid+dIeKIPGsknlKABdpEn8s1HFR24f6YewRP5FtUIDk8Uvp6yiQdn7S5PBMC5MjsUKw0bCGxOnJdKpcePH393/eaNGzcePHhQLBZN2xJCJ8vxKXN5DR1BJrxH1DUtn893dHYODAzsHx6WSX2Hhvr6BlpbW9PpNKLwpCLJfZDIrhVkEHx1bhpEtqZpKk+kxrgJHUy+tTonkZMeAEiJ8SHmzfV6fXl5eWZudmpqamJ8amJiYnpmcmZmZm1lvVar1eqWCLbqJJImEU1DsGm2yTVNKxQKg4ODp06dOn3m5Omzp4aGhnLZAjN0cZiOPk2Ru8YDEpojIiIN0XFDcDwIhLedw78E7nTbPBEi2kAkHxHshCfy1SrKGu++1WGeCDxqzF/lkO+M6h8BEfP+xuxJwhO9DrxWngh2jyra6zwRIIYdwYgowBNJvSlAODaN4IkcLjVaQxq3MZInIi/fmeL7LP2YPDY/qgeWod0QkVu0srIyNTX1w/17P/xw//79+5MT06Yp4xCBMGVIOQ+InF+MsUwqXSgUBO3e29830D/UO9A/MDA01D/Q1taWzmV1XROXcrgzL14bht4ZL5g3kTv6RMow1XZjEBxf1EICTepxZE7PhohcaVZkRERIrFqtLi0tzc/PT01NTE1NjY+PT01NzE7Pra+v1y3bNE1hkGBIlmXJ8Egkz3WS3Mmpwv79I5cuXfr0008vX77c19djpFMys5sMHOjjidR2UEk9ADlqIIEwOylN0TgWWDC20V7miSKNFiEkPFGCdx7JInfn+AB5IhVSxQrB3nzP9YavCcknlKABdmsMdu2QDfLLhK7rrYEdlzTuL8cxMAreh/vsw0Qk5EUuf4SIwvvMBiKyEUUwaACA9fWNp0+fPn/y9OnTx68mxqempmamZpeWl+uWaQPpyECTXQFyW6QSy2az7R2tfX19g/0DfX19PV29nd1drW0dIlZoW1tboVDItRQK2Vw6bSACohNp2SbGEAC8uJsxiMrB7NvuzvLRidYZmq9L5VSYTYDwwoAh80IqO9cCqNVq5cpGsVhcXV8vF4ulUqm0XlxfX19eXl5ZWZuXmF1cnF9dXTVtjiAjXNg2EZGh6flCttvBwMDA8PDwwdHRg6MHBgYG2lpaCcA0bRsInSeociiRb5qk/sRqDTzGQVUZCF1SZBuK1aa7BvAa0KG7GjwUrw4NPwHGkAhssCXPBXK16SRICxbVILuZ64nWmCdybd1N80S+cpo4ZjvYSgfSzJokrK9pHP3ntaHhEtDZ2bj+26tz41lN7Ao2tD3uum+6JVV+P67H8zER4QjW8mTfXUfSxw0iUgdqEoZHIfkZEIjpprhgsYkZhsEYmKa5tLTy8uXLp4+fjY2NTUxNzs7Ozs0uLK0sl0ol4SfFGJOUB5Gus+7u7v379w8N7xscHOzp6u3o6MgXCjL0UEuhkG/N5wuFXD6V1g0GAF4kfyIQfanwX/bF/465qTDUO5JCm5jXPSpLIyciLsNqK4cyRzQq+ltBPAFVK/VyuVwqlYqltXKxtLa2Vlovr66uLq0sLy4uLi2uLC7Nzy/OLS0tFdfWOeeCO2MgnelEJD7OeUtLS39//9DA4PCB/UeOHDl+/PixY0eGhoZAvgxg29zpgYXVB8Hf0zJA1WctwJcFtLoNWiwOcd2G70V1M6Upu0KFN/I6j0LzPUD4KuH+qhm++A31JAlPlKAxkkXuzpHwRAlPFETyCSUQ2JUxOMLKukWeyNloo+OzBtzjPgIWaWm2FTF0/NVE0DjnUi4CzLZtsuxarfb8+cvr31777vr1u3fvrqwtExGCJvTntrN4YIylNCZy1etaqqOzbXCwf2Rk5OjhYwcPHhwe2t/Z3ZXPtaAmwmeD7URacOgP4sgQUVN4K5GjJ64RNuWJwtsjeSLvciGqCKKejrpeknNihojIkIHTT25sbCwsLMzOzk9NTY2NvXjx4sWrVy9nZmbKlaqwjVsmt23inItYpCLuKee8s7Pz6NGj586du3jpwuHDh4eH9uVyOWDI9JTQFjVj5/TxRE5Ya9giTxRpP4eGaydfHRp+AmKvDTZ4jd4UTwRb+1Ii4q1G8USbDmTvIk/0FtYkHhKeaJewKU8UVLtQRCcG4FeLxASRCWc0i6xGJMI8EWs4ebbJQkTRJVl1c35x4eXLVzdu3Lhx/bvHT5/Mzy3axIULsxAQcQREMpiWSqWymVRLS8vBgwdPnz59/OSJw4cPD/YPdXR0MI2JEEcix4MQhhIRA7LBRtTcR+zqH5FRgxhDzfNE0KAXYuEcc8Ki41P+ujYe97rukxXRsgWEtJJsWC8VRQCjycnJiYmJsfGXk5PjC3OLtVrNsiwnS4PwzuPeJWzOOdd1/cixo5988smnn145d+5ce3u7njJEnlC3HVT7CkSrwEJkmXOMqGqg9UjG12uEyG4jUI4IVdgcT9Q8Ep4owQeKZJG7c3zgPBF403gA8Gt0Cbx10fuK5BNK0ADbHoNdmb23JWb1618Jo3u2swYOBoxA1MiJQOTOUF1ljYz37MB1HVIjzhhMYwyIYHZ24cmjx99///3jJw8nJiZmZ2eXlpfr9ToiMqYjoshW4/pSdXa0iYzvIyMjAwMDXV0dnZ2dhda21kJLPltIZdK6rpO8AbDFbXCQUR08mQxHJwiP2MKRA4AmlEGSwkIACNuBIy2Z7vxbxlOIZpGiKYPgTBdDc1Y3bBAKUZR3YrVa3ahWSqXSRqks5EXz8/MTExNjY2MvXryYnJxcWVutVU2GIg4rcM5tm9LpdGtra0dHW0939+Dg4MGDB8+ePX367JmhoaFMOgMApmkTSaUVj/EOdrm2SBGBzzNFeDmRN8uPu/ewJ5p8FyEam3wCMRma1dPjvoWIwpoeopvruuN8Ft4uT6SimfoE1iSutmgvW3fi/FYi6kwB/9CIcnaCbfuO8d1t4TBP5PyBbnYwsYFUR1CywZmhOcer0biCzryi0hFRkJR4ec6hCofufJtuHxsQKIVebw4AwFHTNKZrDBkCvHo18f2tO/fv33/w4MHE1OTSwuL6+vpGtSpKEJH7LctCpFQqNTgwcPz40WPHjh0+fLh/cKCrq6uzo7u1tTWXyxmGLoS1tqw5EAFIzztRSySlkxNmFXes8fVIDaH68wYQ6LUEmByvWUybBNXEorXdp+naS2TgP+ds27Y3NjbKlY1yqVIqlcql9dXV1aWllZmZqcnJyfFXLycnJxfmlzaqFU3TdGYIfaiwRhBCW1tbb29vf2/fvv3DZ8+ePnv27JFjR9ta2wCAgDjnkV2Tamvx36NGRG6cKRD3IfZ4jUPKlvBeIZ4CiFlTbNc+ERjZG3sT+/Y6LpPu7TTD+4TLjMP2fNa2PBIlPFGCxkgWuTtHku9sl+c9CRIkgPDCGHzxJoicJGbOXvD+Uo4RPzC4MfJfIiLuKXTUZYVamXq9bprmwsLS48ePb35344svvng1/rJaq3HODcPQ0ykAAGCIpDMZmDmfzxfyWRFn5+TJk8ePH+/v78/ns4jIATnnwpmtLlPIu/ZhJEQi0BgLE2c7RGBGjogQxTU4s14WnkG6hspA3cKVFImE1BUUIqYy6XQ209nRic4xa2trY2PjDx8+7Ou79+TJo9nZ+ZWVlWq1WquZ9Xrdsm1dByJaWVmZn59/+OBBS0vL8PDw7OzsRrVy/PjxoaGhXC5n6GnGGIRqFQ1ijX33xG2iMIfEF+VfFDSFLT3NXXnujbmk3brKO4tkEH+v4IZY9mwAzvo67mtFX8hhX+8Rfjnc/pOIwIkfr5YcEL9AaL2hqk7cojRNQ2Sc81qlXq3U19fWbn9/9z/+44/ff//985fPa7WaYRiIaBiGTcQAGEPDMNJpo1AodHa1Hx49dPHixXPnzp04caK1vQ0AEJBz4JzX66a8LtMAnNA5Xi0ljwVeN67tBp/ogxi1g1KjpiLdeHAfU6BkyxIKLPncGWO5QjbfUoBeEIybZVnFYnlqauL502cPH/34/PnziYmJxaWVarVq1e1arUaWDRpomkYIpVJpfX39yaPHhUJhcnJ8dXW1Wq0eOnI4n8+nUilDTzNEAjuS1QrfiLOR1APInxNtd8f3phExsjcNHs8uJUiQIIHEB6snCvaPfvUQd7cINNX9N9Si700kVGuCBti+nsg5392ieoc18KZRrHlcOcb7Wgm9sDIQ8kSQ+hcAAs9lDAA0QE2TgWKWllavX79+5/athw8filxmG5WKCFOtaZqMbG3biJhJp7u7O48fP378+PFDB0cHBwfbOtrb2toKrS2ZTEZDhoicnBjO3s16PFHU3XHw+0aBiEwRsmPLU0ItoILLDPGNdOD+ErztbuynwBWD9JPzQw3coMaHFlIjArIsq1yqrK+vl0vry8vL09PTL5+/uHfv3uPHj8fHx9eK66lUijFdeP8J74BsLt3e3t7X13fo0KEzZ8785Cc/OXn6RDaT5QCWzWXYDgreO0cGAJpfbgCOGtSJde1pixpEcg2Cgn0+F2ya80pzjIhpHfk5EJH7fAMrq8b6ILVuUToIj1GN4Aq982Az36LwMXtHT6Qizo4djlUUPuZtock6NzhS1RNheO8W6xCH3fLg274eLW5cENpG3wcutKJhXlhV7SmvmyjNXQrLtAnkRXYDv1hV1Q3JEsS3r2hUSfJKXL1n0TcKRYymaTrTTNMeGxu798OP33577fHjx9PT0wtLi+VySYTMExSPZVkAkE4b/X19586dOXny5LFjx4aGhtrb29s62ltbWw097Y5xtn+ijm5T+7sGkq5PvibSJEse7ePczPzff6L3rF0/Pp9wOMSmeYqwJjzQ1XiCagUQkXPLtmljY2OjVC6Xy+ura0tLS+Pj4z/++OPjx4+fPXu2trbGGGNMl658nHPONU1rbW/r7e0dHBw8duzYT37y6blz53p6+xCBQIqFKUB1xXvqAQDzWbOYN/4yDYIPBFQ7dLgdAsazxgiMAt5nIXqJ8IrGJxcCZe/2vvrGvmawgxKa2RuLRE+UoDGSRe7OkeiJEiRI8HohbLZNgANg47lCWEnkwpuH+a8o8knV6/Visbi6uvr06fMvvvji++9vjr96VS6XjVQKdU0nKZvXNS2VSuVyudbW1q7O9n379p09e/bUqVOHDh3q7OwUF7WJuxN9QC1kII32WAqaYZ1jAlKdho0TbIfXwUqrKyj1cp5Qy/N2AJcgE8uktrbW9vZWcdzS0tKr0UPdPZ2dXe3d3d2zs7Plcrlc2ahW6wRkaAYnq1wur6ysvHz5cmxsbHp6ularlSulffv2dXZ0p3NZXddJuPBF4c3bb/kbn1o0+BLQcQl0npT77TTvcP0+mZHfs9sRz/c9NuO9IQS+oLBrrdxOhKHOlAvmZTOxoZARAQDnvFqpVyuVqcmZBw8eXL9+/esvv56ZmyUEQYuTyKKAmDHS2Wy6ra2tu6dzdOTgxYsXz5w5dezYsdbWdjG+2LYtxxdZbeaKpJjrh+hnDhgBIuP+r0DoTBtQ05G9fWMEdDSBXZHlO2c19T4zxly/MMUAI30wW1paOtraRbH1am1ycrK7u7uzs7O9vX1mZqZYLJbL5UqlZtu2oOQAYHFxcWFh4dmT52MvXtZqtY2NjaNHj/cPDOTyGfFQVEWYOprHudHFGgYaRhGKUFHFkEQIyKlR7EJwbHCIENn1qfq7XUIzHWzinJEgwXuI93gi0qw9jdRor8q+JD5Rgg8c27DVyImdk1kWGkSgCJ+r5Bv2b1dqQoyUSNWBqnL/MgARGUEqpSPA5OT0/XsPrl69+sO9O3Pz82tra9VqlXNgjBFDxhhZNudWLpfr6e06deLk6dOnjxw5Mjg42NLans/nxZwSZC5kTz0kNSMOzURepAZRH+9eGHF0YiQxp89R1SWBXFdRqiIA4I4NlvlOQVTt4ah4B4Tt5FHwrHnOkRycuAz+6nFwbJVujdy9btxrAKjX65XyRrlcXllanp+ff/706Y0b1+8/ePTs2bNSqWSkM4ioIRPhJAzDyBcKbW1tIwcOfPaTn3z66acXLlzIt+QJSORNI/KGKjVvvYhVJDL7xAi4/Fvc1hZLwygXA//f8gkyxkxuu8cLVZHKCKorLnTiWCMiA9+zCNveo1cd/pchDOVyUUGaglP2gN24weC4vdgT0YjqQOJi7jR1LaXFdhI7Y8doqB1WdzYhMt5ECeVkdteULeqCc3vs2M6VRLsT0yqsJ1IRZqtBcjoaAIQzncvDEDjnGrJwUKEA1LjFvqsT45w7PYzioSZP81gMwY+nU2kA2Niojo2NXb167c6dO8+ePZudnV1bWa3XTQ7EATQEy7KISNf1rq6Ocx+d+ejsmVOnTu3fPyLzY+Zyup5yhxZ3RAMARswbO0L5CjjKmHfB8cXRxew6pR6b+6yJ1URQvOOMm3YMMyKOF5nIXK2oVAxZdrVaX19fL5VKa2srL549v3v37g8//PDo0aNisehqi2ziBMAQ0+l0oVDYt2/f6dOnL1269Gc//7y/r98GAkDLsolIA/S4ISWiEyrjtVo3pbP1vlCnBPeUuC9XucfNHg4RiWykgawdAIGXIZj9Iz5iUeNIRs2jmXK2oKPcKhI9UYLGSBa5O0eiJ0qQIMFuQtgwtxzxJR7hjj5AEsnDGDrRaORUkohsy1pYWJufm3v48OGd2z9cu3bt5dhzy7I0XUdd0xkjImQsnU63dhY6Otp6enr2DQ+ePnnqxIkTIyMjHR0dBGBZHJDbFgHY6gCDiO59KhZI8du1gsppmSAymKID8lEGoebCiDZ8o4oJdGIeuRCWZCRAGZ1bHuaaYR1IG3tbR3tnZ+e+ffsq5Y19+/a1tha6+3r7+/tnZmZW19fW19cr5Q0iQMbq9Xp1aWlqampqcrJWq1U2Nkql0rHjRzq6unK5gqZpgIzbdvidIiVG+PaWQ2GjcWQ52yh8M4NwLEnklbBNI86m78n7pr55l7HlZ/GBzHEbrQAb2xtcVQhg84nM4jYGlCbqXuFoZlu0tLSytLQ0NTX16NGTb7755sGDh/Pzc7VaLaUbhAAEGoKu6+3t7R0dHd3dncP7h86dO3f27OljR452dHQBAOdc5PASd6jebEDe4nITjpZEumU1eCfezAvTmCSKuQvvxE17S2EKAcehTGzPZDItLQUAIIKBgYHW1tb29vbOzs7Z2dnV1dXV1dVyuQIIDBEAKpXK0tLS3NzcytJyab1o2+aJUyd7e/pbO9rT6TQikmW7dVNvBlETdG3cTam/w9y9Us42H8Sm7/wOy98BkqEkQYL3HB+snqhxfCKxBQJb3j8kVGuCBtiOrYYAHFGPOkd3rYJNX9yLRuRTxCjRIkQEIhlRCGxEdHUuuq4zhpZFK4tLV69e/fabq0+ePJmdnS2VSiKjGTByM6SkUqmOjo6TJ05cvnz5yNGj+/bta2nNp9NpQ0/ruq7erNAHiZmuBsHZrf9I704YRQQ7iFG2S8ubKzwJZ6mPNJIjIhIScWDIucWcTMPKYaoOSLYtACCpSiKOiBiVeTpUmnwiUurjzI9FDTnYQv6DoAFy4GTbtmmatUp1dXV1YWHp/v0frl27dveH28+fP69VTc0Q2eV0ImKMpdNpwS5dvHj+b//T3506c66lpQUQ6qYJnGTCO5nHR9r8dfRil8jsZqKqLPi+IXlqL1enFrdo8Sz2AACgQbQKJqwkIodPDNqfiQXWII3znfnsxv5jhKYm8Iz8Z0dqRjZ1DWjeGrw9PVFkVQMlx9Wqsf5ldxQuO0PQTh43iyBfXPXo+/K/it4y1Wm9xrGZdqIzagavV0+0CX0TFUFG9D+R2kmf2ijmnVS3c6cI0atEypoY6pqmMUMrlcrf3/j+xvXvbt++PTY2tlZcr1arNcskIkYiz6OtaVpra+upUycuX7p07tyZ0dHRlrbWTCaTyWR0LeUWi+D5iAkC3K2RS6/EDBwRQ4zc7A+LAwAoVKLK8Zs+y4B+TdX8Nog2KI6PaXC1hEY6Yvd093OQ8wF16AEGQsG6sSF8mR/+eP/WrVt3b99+/PSpaZpCW4SODNkw0vl8tr29/dz5j/76r//63Ecf7T94AAFMi8TIrnTpCg/ii4Hl0xCJkQsR/XSSG72IObcc8YwCnWHjrJdqa282UY9Q+ihdypa+Xx7f64Yv13gEaaA/2o7bWqInStAYySJ350j0RAkSJNhVuGJ+JWLoNksiaT8UpUZMjt3D5JofNU3TNFap1JeXl2enpp8+fXr9+vU7d+7MzcxubGwYhqHrOiAXmpdcLtfT09Pf3z88PHzyxLHTp0/vGz7Q1dUBAKZpu1ESnKm5BkBAXuxJRePNw0yKC/SoLWeWyRAAGDIC6UO3G+OWojxX/Cl8NWkYISJIaoQORieUkvDYIj9Tptg8GYD0DRGPRtf1VCrV2tra3dszPHygo6Mjn88PDPY9efJkcnJycWlleXm5Wq2LK66urq6vri3Mza+vrwLAzPTc6JHDQ0ND7Z0dhqGZpuWsu9WYnZ7NP/LGI282HB5iV6wmDd78XZycUHyUkPcX70nwC9FTKVTRDm3yiUnf6wHcP5vvUV36wBMiKV12WE+kaRpDvV6vr6yszMwvvHz58s6t73+488Pjp48XFxd1XRe+zOL4QqHQ293T29c9PDx84uTJs2dOHTlypLe3lwBsmyziFBWcjvzxZcKkc5M91W4th+LacxdVw5siPMJ6Ci8gAEin07lcrqe7Z2hoqLW1NZ/Pd3V1DQ0PT09PLy4urq6ub2xsiEhSlUqlVFqfmZmpVCqMsaWlpdNnzuw/ONLZ2anrGtiCAxJDSaMqNRBJQXONHzFGCGtQ0/GtXz+48m8DJL1QggTvJz5YPVEQH0I0ojASqjVBA2zPVkNEwIkclyw5hYrpZmSMGG4rjIwyRxfrbVIWAIql3b0cERGTdsV0SkOA6cm5W7duffPV1zdv3lhcXjBN07ZtQceIqiNjmo4HDhy4cuXK+fPnT5482dXRzRgzUikxlRRBIQK3LKLSqJFxfM3CCEL0CiICMURfHLRwSwpTmrhZOUP19gSjEbnbN4O3rg63/2Z24PC1gvZALmL0qFoA7i6uHKs42IEnyDlYllWrVYrF4tzM7LVr17786k/37z2YmprhQIahETCGyBgT7NLhw4c///zzn/zsp5999lk+XzBNCwA45+G8Y06UIgrcu9uGiNhYv+MvLqhZEMyXlLWJcuWb4JFTHDm4yqOYHEOuqk5oH9wqEwYtqvH5AeVKxrF4Q1RkijC2Oo/fqXInqgMJxydqpvywqXlv6omCiNQTqSxA6AWJiNwRQdd6RQWjF0WV0zzedOvJbl+kIVP1RFwhfJ3vyBsj/LnPwq+Zt4APMea+HkCJTCRVKv42F0MGkRC2EhBDRD2dQsSF2YWHDx/+x3/88dtvry4tLJYrGzXLtG1bCDQZEBFpGh4+fPjTTz65dOniqVOnOjo6dCOdSqU0TYsbQ1Xa3b1fNepQRGwmcYror8h270gQyaxh9i6BZr4ctT3B6bsAlO7L8bdSI+i58IvjXEMLKbuCsfDU+IYMotWsrr448K9lWbVqdWNjY3Z29vr169euXfvx3v3p6WlNQ03TXMkZYyyVyuwbHv7o/Nk//4u/+Iu/+ItCIW9yDgDIPX4QAYhst69W70X5IRW7rubL3Yv+uELh/nxTus27VqgEocZiEO5RVcRpeRofE3lW44RlkYc1rydqfIkIJHqiBI2RLHJ3jkRPlCBBgl2DjyJxkhBvegoqv8XayrETOgdsKoQRWe0Zrqysj798df/+/bu379y9e/fly5emXU+lUqAxDdE0zZRhdHR09Pb3jIyMHD58+OTJk4cPH94/PKJraNkii5kMlU1q+b7fFBajONujU5X7zcPR5kcIsTbb0WG/QUQKjhzmQpVc+cyymqal0+mWlnxnZ2d3d7dhGC0tLaMHDz979uzly1czc9OVSqVucsZYtVqt1Wq1ShUAShvF1dXVMyfPDI8cyGaziCjm8aoUy1mESCYn3Lzk9/Z5M2hG2rA9s/wbsfG8ARPxXn7Hdx/beGqNdJQfBiI/ogYbm1kGNB5QAlyAKFbXDcbY0srK5KvJR48e37v7w82bN589eVatVlBjqGuAaFt2OpPq7ugcGOgbHh4+dvTw6dOnjx89tm//sKZpNgdhsWjQLQRJMce3WjIpzfUV6vi1VTQebb1K+vkORNzJ+7jd7yLKsQ4xm83m8/muzu6O9i5d11tbW/fvG3769On4+NjCwkK1WuecaxrWaub6eqlWq9VrFdu2q5XKqdOnDx48mM5lNU1Nu2a7lwjkxXOH8gYvXvNPbZP7BYS3rDNqkiQKn7XpOJJokRIk2KP4YPVE0ZbSwOTgvUdCtSZogOZtNSFLoKrZ5uRErgmsh5WzFNWMoGnAyymjRpkh7pECFnEi0kS0BY2JeEO3b976zW9+c+/uD69evapUKiSzvWjCKmuaZms+d+LEiYsfn//Zz352cORQKpUyDMPNoQvAOEpPhLDaX6g2PCWLY+h2+xpEZMAl0ySi87i7HEtgg+8rnPvMD7W0YISIwFXEb3fJQcgREIEBAAc7UEK8vkZYsJW/w8l9FR8N1Uofjk4l1Ebudtu2gSORXavVlheXnjx58rvf/varb76ZnJwslUq6rrvCLsZYe2fHyMGDv/qbv/lv//AP/UP9QkDBuafq8nwQiAJCHtXXz9uoqHiahM9ur7aJoipyDo3Ij+NJndRzo/gsgCBjGAPfGBfSEzUeAeM0BJHb1RAbDc4N4nUaewN12I4t+jUjupX8bSJ6mPBZoJwboTACZe0qC4pWk70+VdFrjk/EvakpSpWK74qRdLxve0hf479wUGEkPWoVNatbGhEJnaBhpInwzq3v//CHf7914+aTJ08qlQ0OJN3WGAolS3d397nTp658cumnn/1k3759mUzGMAwZH0fxVIqsP4AzrKg6IGLhY9yvEhUtCYEdXaYfAV2PithcZjFRhMDpez2FkW/ckVs2h3gioYhygUp6TwRsYsjCeiKhRJPPkXPOgaharS4uLj569Oh3v/1/b9y4MT8/X61WNc1AROEiCBpks9nBwcG/+/v/9L/95/88ONSfzuY552ArWjZffKIwmejpenxaYN+DVvduAQ1Gq/iYj41VPP4yos/aKpo5t7HWKYlPlGCXkSxyd45ET+RBjHTid/IaJUjQJGJs3d5vxIhsHXJiGSAdiEjRE4FiF3W2OFMwzgEBETWmAUDNMicnJx/cu3/rxs3bt76fmJgoldcJwDAMjoDcYkwvtLSMjIwcO3zo+PHjx44fOXLkSGdHp20T5yIEEidCYiAiEAUqhogAHEWeexEp2Z/7rEnIRQJEBMeRLbCVIoViK5AZTfRiYdume1SDq29+xXiK0D3Ac5dQuDYiYoy5fhwcgDGGyAwjUygU8vl8NpvVEPft2/fw4cNnz56NjY2tri5zBCBm21Qz65VKxdD1Wq126crHJ06d6u7uTacNsrhlWcHKECMl8qu6yycQ2KKRN04CwMgXtrwx4hRnexh709K7d/ignWLnKrd34S16XXA7uvAwJGiKcI9KbsRo9xTPYTbEbgPoum4DWZb16tXEox8f3Lp16/at2y9fvlxeXgYGhmFYlsUYY5re1dV16NChE0ePnDhx4viJo0cOH2ltbSUizrllxUV03uTuiESwI+TuiNnQiawxGssbI0fqZsqUVQ3ldnCwOQuAiLzh6KcOH8AQCZVwzhyAZPlOXCFEBEBd11OGkcvlcrlcOp1mDIaHh588efLixYvJyenyepFEzlMLV6rVSqX2x3//j3q9/vHliydPnO7p6UmnDdsmkYdOlQ5BxKtCjDHihDFi4chbbuaV8MaskJmt+Ws1jSTMUIIECXxI9EQSIkEPY8z1dwnoCELnvg/Y21TrXow38UFhU1uNZHAUm3DjE8UzDce1CfzmnPumRMSIyFVtiN8uzcSYDCl667sb/+Mf/+/Hjx9Xq1XbttW1l67rmUxm//79f/VXf3Xl8sfDw8NtbR1EYlLn81qSkSBIRIUQsWYU8284KkRUs0TcMwDbypflnQJiFkzgWA7D8RrCwvvNqiQjKbgHRDIXRERkM8Yiv0GhUSJJrQV3KVcSGiIhZJJ6IsX2K7cgARFqyNbWVu7/8MO33377hz/84fHjh/V63SZkjIl3hoHW2t7y13/9V//tv//DqVOnenp6CFG4CoLrnSHqIK4unqASWUOlsQK27tB0PLr/Ua33PjcAjIgeorS/TwvmrG288r1EZiG7cXyUIn/FGr1dzduWm8eu64n4DizbAT1R43O3OrKEdMfKvuY+6Ygr7pAuJLIBOcj8fc3HJ1KlYQ1ihQTK2TS2yDbhW2wLuZ7CuYoslkxRrITrFKitp1ENcQ4ko6YxkAnNONk+HRYnkuy/M+IIvSoAmKZZLBa//vrrf/p//n9Pnz4tFov1uokaI+IAwDk3DKO1tXD8+PFf//rXFy9c6O/vz+VyDJDIdjQyQi0rgYhORB6fcNWTQ6p6T/f1iGKI4l4eMaF1G7kxxd/kG6jGxInUFkVWo5nDvOPRu4o7vvhGJZmBjkEoBDgROeOjxjnn0mwgNFaMc84Ym5+fv3f3h2+//fbrL/80Pj5u2zaJPJ9EHMG27fb29r/661/++te/Pnvu3ODggEXETcubJ8hKckR0KxDSFkGD31Ex2uSNhxH3XBTjkPc1RGmL4r7fwJYGj3J31z7NxE5K4hMl2DXs7UXuu4FETyShLBfhvaXOEiR4/WgwL5S7Qm4CqEQCDud/8ZYHnIsjhXo/nU7ZNl9bWx97/uLGjRu3bt16/vz5+vo6CFclxur1OhF1dnbuP7DvxIkTp06dOnny5IHh/S0tLbpumKalTs1U4547cVfngpIIQIqcxzQ/8MTN2iPR4KBIomp7i8/4aS5Kk3w0KdasLokpV/EV5eQFYxoDjplMSte7jp88mc1mBwYGfvzxx/v3f3j+8tX8/Hy9XtdTaW5V6/XqtWvfmab5ySefnL944dChQ63t7ZyDaZpxVyfF18OVOJGwOCvdvXcYbUHVhf61X6A9ooy9CfEdiebZq7gI1m8arzV82KYyAUQkZ6G+S5qCPfdmkmO1a+buyIltF7cXI75N5vxALhyLyBtlENEwDG7y9fX158+f37hx4/at758+fbq8smiZnOkaAtTrdUQcGhoaHR05ffr0iZPHTp04OTQ0lM3mNY3Zps0BiWyMit3jxCBX7BDiR9zNKuxzY+V7oKeN5Rqa07MEq43KD96oGoGrCMfwxldsKqKzuBYHUKQ93pCtSJVddg0AEJmu67qh9/X3A0BLS8v+/fseP3z46NGjV69eLS+tWpalpYx6vb60tPTdteu1Wm12dvb8hQuHDh1qacnbMnahczsoVWmy2v77cocYld4KNFGT36w6LpP7yu4+9ngsxAQJErw1fLA8UdTMMqEY9xaScWtPgyhssgUOBBireiD/JIeU+I7q3EvMuRSpizLrIgAAHRnnnCxeWl8fe/7yu2vXf/Ov//Ply5eaphmGIaaSiFoqxVKp1MjIyMULH/385z8/+9E5wzDIBtsm264LpsNXGUkDAXFgTBrnVCVR4BRvLzGgaGMvhDNYxdMQzNnP3IPR2d5cLEy/GihuJiqKF1ZWaet2FC4+FkzNQeMWq5S5eSQCZ3nE3OoJnz5hrAdhvUfgnCOxjY0qAO/s7uro6Dp15sxHz5797ne/y3777Q+cr6ysMMbA0AHYsydPpyYmZ6fn1tdLQOz06dOoa957oraGw0sSEYLMfq1UUHn9xGMEGUjL0R1AQNcGrnoOvWs5LyoLOxAps3wmikVE8bI0bj2mMKfOvUS3cHP95O4qid4M4u5rq/EvtlpCs4gtRb4WgZ9bQHOrd4ZK5xn62JvPLiSWiJF384ZemLj+UItRSvp7VBG9iIX2+NyClNBv3CmQyeyZYsBBTkIdhF4cMc75+vr62NjYt99c/ed//ufJqXHGGDI9lUFEZIwhZlpaWk6ePP7pZ1d++tOfjo6OAgBxtCzLstzemKm2Dx8xhNxh4YXyRam/GpkokHWRAHfgeqZiq/SiGiVKDEmNYw8hiuBNDBEdXkyNABVUuwQ0Su6jUGspx0j3AP+b7zSsmJ6I56sBACfitm1aFiL29/d3d3efO//Rwx/v//73v9cMw+LPSqUSImlaGoA9f/58dnZ2aWFxfX3d0PWjx47ZQODyiSBEYFIT6iROAAixP+qfQs2k3O8W6F1Xd+b6SiufzE5iCTWD1zEPfxfHowQJPlB8sDxREImEKEGCNwmVZrKJIwVjJHveSaQ4FAEgYiqlE8GrV+MPfvzxu+s3792/Ozcza5uWUADZnHPODQMOHx49c+bM6VOnjh07MjIyksvliMgmHmnVRMe1gTGmaZprKkVEZMS5j4IJGIHVQsK3GXFM/OQQnX/Qmwz7Sm4yqs6mE1B5v2ADyQWnU9WoafdmxSqknls4E4Z0gGCwKsmeMDfmKCkzYGSMMV1PZdIHDx785S9/OToycvbHH2//cPuHH35YWV4DAM6tSqXy4MGDWq22vLw8PT398ccf9w32g02maaoGWPeZqpbzyEW4y0tyhypqHqRkuoletHhgztUiwBXnxG3Y+RO8W4hTc6gvalx/0uRXuTPsiVVcpHam8dcRaNhIJVG4HHUjY0xPG/W6OTEx8fD+j9euXv/hhx8WFhbMum0YjAMXa/6Wlpbz58+fO3fm5Knjhw4dGhoaSKfTtkU22KDoXPy+Zkp6LCYtE0RceCF5faNHf0TKhTaZr8a1T2MVUvNwyBs5TjWuSdxdxBbuyYC2GL7HN/rI66qDtdu2jLFMJpNOpw8fPabr+uHDhx88eHT37t0ff7xXKpWEh9rGxsaDBw/q9XqxWLzyyScXLlzo6uowTds1Nrj6NZfJUmsixFPgny2Ea9iAKorsHyI//yb3JkiQIME28MHyRNFRDOKHpYT/TpAgGuosvMlkvMKci4AEtpxOoeN9JrQU7pfoRCZycgOLnDKwtLT0w927V7/+5tq1a9PT03rKSGcz4gxd09IZo7Oz89Lli3/xiz8/cuRId3c3ANRrXsBjQM2lgWzBUxBnDDUZNYDLKyIHf/JdCBiEIxsE0Mk7E4rd04wmyH+huL07B/pdV5o+z6dRd4Njg7hxYagnJwSDY0MG18+CGAISEgByBgAcncAkYspt27aIC5vN5z66cH50dPTo8eP9/b1Wrf7ixVipVKqZJgAsLCysrq6urCwtLS2kUqkr2ayREVIyBgCac3eOG4IjF/XnrIm5PfE+SPVTqNW4aDuvBWTpGgAIN0UkjSMwkIoA53pchM8NNCUoAWO8i5DStpF1fN+wVav124xeF34sPhVbxFML9QPySPG9cAAMPP/Icty15aaLzK3rBRo7nryu9y0cny6M8D0yRy4i/3JLk5pTBp51QcT6Eet5BiD8mt0C5TFEUsQpiFqLOK+bi3OL9+/cvXr16hdffDE3N5dOZdPpNAAwhoZhFAq5ffv2/eLnf/Znf/bTwcHBfD5vE69Wq7IfQLcnlBpVqSVBLnhgdMSq6MTTJ0QE7nIvkmgI64ZQTdXGnAMaPT41cUHzGhZothfydJdR/SqL+R19ZEgTR1GsevR2+UU4nxYRifYkdAkUIGA252TbZFmMsfaOjo8vXzl8+OjRo8c729rNam1iYmKjUrIszSacn59fX19fXV1dWV7LZrNnz541UhpDb9FEyrqAEAC9uIGugzNEtDknGaKOiaBY6Pg7g7+11TsiZABIxAOPb7Nn1MzKpZk4bnG/t4e4+uxW+QkS7BzJeyjxwfJECRIkeGtARJJyf8XuSo50O8bXSSiJOIcffrh/4/p3t7+/+fTp09XVVaFq55ybppnJZLp7Os+cOXPlypXjR4/t27evra0tsKYKmFUZYwCcKT5xUtMRldFMLSps8ZOcF5CrygnO6gB5aKoXwJu0CnoyJc/q2/i6jQKpKq0ho+S6q5PIsxC4x8H5L+uaZPP5/IEDBzKp1L59+69du/bVV1+9ePVibW2Nc+Bcm56e/u7a9VrNfPny5V/85S8OHjoks9fxGBkRoTDjuxsjZ/NEhA19/dSDZbBYTu5NBNKfxSlH4koONUaC9xnNi4PULiWgVtgN7K0YJe7X1/znE6nF8wilzZREAMAYS6eNarV+7+4Pt2/d+e677549fVwsriEiILdM2zTNzu6u0dGR8+fPX7x48cjhURGyWigi0ZH6BOoQEBD5fXsdnih8+w21q84xrgg0ujUAHMe6HcAx4TSUcYFg5LZwIZkn3uE9t/0mR47IjDGyffkEiIgRAGPIyd1CRPmWwujoaC6dOXjw4NWrV69++/X09PRGaYOILMuanJwkularV8ZePv/ZL36+b2jYtmXwcufqTEwVHHtEMCHaZpRuZMtEq0rDreS3YDV/hQQJEiRoCu8xT9Qsj+6qRiE0VMeUmSDBhw4CLy+Jb3uUXTFAfEgLmLoSAE018xIJIQgwAiLSUERkICLa2KjOz89f+/abL//0xfPnz1dXV/WUkU6niYhpLJvL9fb2Hj12+PPPP//Fz37e0dEhgiOYZpjxEWQNodC6oGR2HAueFC+pJ/gpFaeeW5z/qbxY7DEKbaL2Tm4RoU1bRZydJBwbeGuZR5xKeVEbCFijFF3E0MmJRsgBZRAGYae1ybZMm4GWb2k90to+Mjra3t5umjXD0F6+fFnaqBLRxsbGq1evVlZWlhbm21oLqVSqvb09k8nYwl8QbEAQeiVyqSsuL+PGJIqlihB91lq/bV9oEBC9z4DIMTADJwQuFArInYaJaMy49o1I5h3xZW3V+vr2Yz/Ho7GF+fVdq/ny47IFKWv+psvyawYbzDs2526Ulzb8JuyWDvp16akbqCGcj88ZPpQjSXG8ijgXOYCbVZO8sxQhjqpRdS+HiCa3zZI5OTl97er1q1evPn78eGV1yTCMTCbDidLZTFtH+6FDBy9c/Ojnf/azixcvZjIZ0zSJ0LJEukNGSiweUSxjSERMA4cT93yOGGPkxLaLfMybaFe9Hik+WNYmnrBKYUpruO0MTqw0EEYOqR5q1OdsmpkxXBOv1/Wfy91xMKpMl5FR338R/whJSvI4lxYgIhsQAElzSDUi4pzXbZsx1tre1tXVeWD0YCafq5vVe/fujY2P12o1znmptP7ixbPl5cWVpcX29nYG2NbWlkpnfeQUZ6KmHLkQhMk6KM7IyoMIxghT78KZHSk8pl9hFN2Ysc28vXyFvOHvZB2UIMEHhO3kO3insPns08cThXIWvN+IfPofwo0naAZxnYOYwRME4z6As+b3zTiVOZCTgRaIiMupn6f5V09R5/GM6Yio61Cp1K5evfrVl1/+eO/+5ORkuVy2uM0Y45xXqtWenp7Tp09fuHDhwsWPRvYf6OzsTKVSRF5C5fDNyJmZNPMqljqxohD5jEn6CzRsqeAxRBSXGS1wdd8WZS3ElKjM2+aJYgipZmZ7cccovgYA3An8Kq+l2NIjMrt7ayfNfSiccydvNAeQCzgumR2biEQWefHarK2tTI6PXb9+/Ysvvrjzw/3x8XEASKfTOmNtHR1Hjx698uknf//3f3/sxHFN07iQ6XOOMv60Ei3VYbLCa5UAmym2xHrEgAYAbsRZ8Vux7DMA0JBICVexae+K5Fw0IIvwrZQivAC22G/vFnfQCA06kKbr07xPxJbOdfmXZtY8jXM5B61NKpr7WDf/1nxlKiFsxJYonqiZ9gkjjknc6jqzWYT7ClLFeEqPKvtDVM6K1HKS+4UIPzIlGh15EZSJIedcR+nbhYgIWiqlF4vlr7/++ttvrt2/f39iYqJUKplWjTFmWhbnfHR09JNPPvno/Nnjx4/vGxxqbW1ljNm2DaCUrPYzqKFLNiNXs9SD+9T8Y0eTX3EznYnb+TNkDaRArlYIFfdqrhyvxmtztntvlztmiTxk5JgLfP1n7CojaJ91zxU/bMdmo3IoEPPoI3hbDOYukD5opAQPcoZ+RAROKysrL18+/+abb7755pv79+/Pzs7qup7W05qmdXR3HD169Kc//emv/+5vR0ZGkOkAIJ6+d3Uv3wWAwkuqs4vwD/UwtR3i9vo2Kk8t6q3YOU8Uxu56nO3Ir20rQ0yCDxE7WOQmrKjEe6wnamZuJE1ATZeWvDFvEkmb7xbeUEsG/HTCeUBk78yQOG36hRIRgCZmmaZpriyvj4+Pf/3VV1/88U9LS0umaaImAk5DOpPp7O44fPjwTz775OOPPz5x4kQ6nTZN27YJwCZvQejNxWV9hK5E4QjkoMKIpM2R+aiWOM5I3UJMBsUAd84timTgcFJvEpspnra3ngRQbJ6RThb+Oti+S3JLrKBUAkWut0UDiy1cE5yhO/3t6unt6enJ5ArAdE3TkOzl1fV6vV63+NLSynff3SwWyz1d3QAwNLyvUCjYIGIkqasIUXN5v5FrGB/LKSOW+Bw3UPEsCLQtBwByRGpCs0Ys7EqptEz004lfWcVpRprHXlMSNcZW1VJN3h3bjdXO5iVsd7ESZ8/3XbHhCrx5NF5DNjuP2l57huMTiR7S97n5yTY38kvg9hGRbI4ez869cgRTTOhGC0JOmqPr4agBolW3V1fXnz978vVXX33zzTcLCwuValXXdSOVAYB8odDZ2Xnh/Pmf/+zzU6dO9ff36rpeq9W4lAEF7RCS3CYnDhEjJGSAIvaZ0x9q6glOVyAEMfGPVdpU7NgDlAaRZ8SQRIHOR9WxCoQj+jsqS8GNCuZOWoaEy51TCKo+aM6TCr8nW3t7w6oid15BRGGWwb1BryYkVFGifjYicEJyolkhQG9/T1dPt66nGGNIhKgVi0XTNE3TXphdWJpfqlfqXV1dpmkODAzkC60AoI4Okp3kwrpgq7UNd/VEJGwk8dqrppSPRKFEm8GztqqgfJMxidQrhn8nSPC2kLyHEu+xnqiZXinY98Vbad5PzmJv64nezzZ/G9hmSzbWE4F/TumzDHPvd0Bj4pr4PAOsY99Tp3TCqGwwgzGwLL68vPzlF3/8wx/+8PzpM0ESuaXZnI8c3P+LX/zi/Pnzhw6Odnd3i2gRwqxJyCGUatf9gYr/kbvLJwVyRSJyHunpRwJGPK98YN5ti8YAAADWhBxfzMtdTZYw0nLfegKAtr/6DNQo5re/RvHnCj2R2g7qzakWaZG72j1MLdy19ssXg3mlEfdm8OIcjTFErFY3lhYWf7h35/rVb//9j1/cv38fUUulUsiptbV1cHjws88++2///R+OnzyRzWYZ6pZlQSQjI+k832LDM//LFZ5GTjTZsPjIxxsSAwCOXNyYp05qTi/gprELK1tlg6DakhHfctP99m7xRG9GTxR3rWbe4Wa0SM1ga6rkrSNcnyau2JR2oBmuR/WCaaadw+duf6RW9acBDYX78qhsBfkj4AR/K+OOyuQKjVLk28gYA42BzZeWVv7wv37/xZ/+49mzZ0sry6Zp2pwTkaYZ6bRx+vTpX/7yl2dOnxwaGmppyRuG4QxkniqNJCGCIoA+ikhoTiej6qF8LUahdlN6m4g6h2wVW5qwbXpwWNOqQjwvdZwKnwXgaYvUKzrsWKP3xDdIihQTUTy+GDXC9xLDRoG7xa0DAQDZQv3kStgQQNM0AqhWKnMz0zdv3vz22+tffvnl8+fPM0ZK13UAaG1tHdo//Gd/9tP//F//y+joaCabR0QxxKCTE0Mag+RYoLy9REJT5mVDc+43MLj43xNZ/zg9ESh6rhhslSdSz3rdPNGOZviJnihBY+ztRe67gfdST9S4P9rCLHkzU3yC14R3y+K9l/GmW9KNPRSApyfnXHjv++YdyMFVfYh4QagxxrhtVav1mZmZBw8efP31199du16ulDRNA2CapmmMtbS09A30nj179ic/+cmJEyfaWlo1zaibJrgGtgBJxGQSdgQOTkAi58qA3kzXOauxu1lgEHISzIPX7opiX+lIdjQzcrVN21+XbrUnbMRNqMl0Ig4QnIuwP4t3AN3JOg/MfRHVuCPiAAL0nDVszjnnuUK+UCikUql0KlupmUQ0Nz1XLpdthNXi+uq9Vdumnp6+er1+9OjRto52Yd0mO9SfEwOQqzGZQEnRw8mDkTsm84jmdlkhgMCrwsHNYBWKauSwrEp7ckK2ycPcLN6HcsV3Hs0wJnHHx22J42Ka4ZK2p7YDaPSFhssPbw//VusQLnt7NnkeVY3mz3298PUJ4iugIKMUh/D8TZUgISIxtInqpcrMzMzDHx98/dVXN27cqFQqIv6RpmmpVKqjo+PgwYNXrlz57Cef7N83rGkaMLRtG2wREj/YaIhCTogAXOpquGQHFIQYItV3NeJOYnSsrwERkdEAIPZN5v6zAvVHdS4g3I2jTmfuc/F5qwEw9+rqOwBittD86KdwaiTsNRxdXg8ImbRUEYBl2xwh31o4mD/CjFQqlalWqzqyhYWFarVKDBdXlheWlxiDrq6uarU6euhIS0sLaDojTkQaIJDzmsmnhm4dHFMEcc5Ryawa/vTCzGlc/07efIAwtk2204Nt96wwkvl8ggTvMN5LPVEzPNFWOfL3U9uyV6nW7Vk/EoSxo5ZsRk8UeUzAVgau7dGx98plPxELlSCV20zXNKyUyjMzM1/86U//9m//NvFqvFzZsG0TEW2bdF0vFArHjh379d/96sKFC93d3fl8XkMdEXkofoesNpOaIIcnkvfiVljVFsW0SPR83VGXqKxQ3Oxa2GOj0VR8IlG+UFMFim4uAo5Xhofm9QI+PZEv3CYRqHlklKcfpRfgiqdAhEbA/VfqwtRjkCMit+zi2vqLFy9u3rz5m3/+zffff2+RjACSzWZ7e3s///wn//v/+X8cP3600NqGiLblrQ/Vekg6EbmrJPIdw8JaAO+AOO5BC61OwQchMfDOC3NA8S5FcSNRsMx47H09UTNszk62b09z1EhtF6GvDG3Zej3Br/EJVCB4brxZa3tcW7g+W9V8bY4GeiIX4awI3trY32+QrcSn9zoQEjpQEr5ajnYVdY0xVimVJyenf/+7//WH3/9+ZmZmY6NkE+dEpmlms9n+/v7z58//+te/Pn7iaEu+kMlkvHqKscxhun3/Ml9kceboQUXdvDrL5OjgKhaduPihdg7pFsXvcIcf329somSM5PrDY5CrAQZwo1mrL57DmTfStgB4D87rtcL3IsYXsZ0pSxUEzjmnGH2NMEK4mdTEVdy6MdCIiCtee4RcviMOScfR8TS27JXl5UcPHn737bXf/OY3D5881nVdXLSQy/T09f35n//5//Zf/uvhI0dETlUhc44cX9D3EiuOk3KUDNlLnLp55wCD0MgSQFj/5cf2VjE7n43vfr/hItETJWiMvbrIfZfwXuqJ4hDuJbfXYybMRYK9j7dgw2kwSZX6f8mAaLaIf8w5hOL1ICJjjHO7WKyMvxy7dfPmt99cffTg4cbGRjqbEZqPTCbd1dV19PiRixcvXv74yujoCAfinBP3u7M5PzQm/kREYeZFwTswKcpxzeko202x6xIDIl81ZS8Q4IwIZextlQkS5FgMZxTuTZq0k4NUqjd78BbReE3YbO+nxmOOui+mCIvUDEHM9f9ylh8EMkwsc58OERipTEdX6kQ2l87misUyM/SXz54vr61ybpVK62trK4ahdXV1bWxsnD57qr29U0RE4pwHltPq+xcX/0L1R3NuL7otmDIFkUt8YgAIyPkWR46Yryla1bV9bdnm2C2rcvPXarzlbWFrtqVohnhz5ijyou5vyQ5scZrbzBNswE+9IYTzbcVp6HzxjCLieYsihGYn2PdwBGQMEG3bLhbLL589v3Xj5rdXrz58+KNt20Y6ZXOuaUZbW25wcPCj82evXLp8/qOz3d3d9bpFRJxzIkeH4rIjMu6eE43IqwYDAA6kLuC9CiN3Va++Kiqjj1ShqmqdmJ4nonz/xvgztgBUawXgyGQg8F431LZ4lXQ0NZtDhJt2uDlxPzG0l6Ja8jcFd6rra28ZsQiJQLqoMwKL24iYyWR6e3vTRsow0qvFUiqbGR8fLxaLjLGVteLKWjGbzbe0tVcqlVNnTra0tDCNuSykN/2QlwFwvlwkKZMiIiBA1Ej23xxAam8dMA7AwFGtEts8jVwj7IQhUre8jp4hWVsl2GtI3kmJD4onSpAgwS7DNyWK1xap81TOPdW3YqF0JlQMNY1tbGxMvhr/+quv/t/f/Ovk5CQApLMZRDQtyzCMrq6u06dP//rvfnXx4sVCrqVet8DRCoUrwBgTvgCB/FZip6qpJEXMrrijAWJwJh8YPJQoPVsA28HiOzpUwVs1kqhT96BKq4EwzZvTawCcFHZJpYowpF2zLIuI0un0yMjIf/2v/3V0dPR//N//3+s3b9RqNmosreuTk5P/+I//uLi4mMvljhwzWltbGTMC6W+ah7s4l7fWoBEAgJiTtw0dPZ0KFi4gcrnrGZbfQ9lvgm0iVhiya5//2/cTQZnW3LcxqB4Kn4VedkuVuZDaIpCfsKZpiFgqlcZfjv/x3//jd//2b3NzM7quM10jAMuy0un0/v37L1/5+K//+q+PHTlqGEatUo/TMXnaEMlgkKC2Qf1+/VqPsDecd99bQfiJu0G+4w4II8zphP4M9lYoDSooaZbIYjdjM7fxurqdJKIISb55CS6HHn5kTj2Vw1BmWhXuY/V6nYjyLYWTJ0+2tLSMjOz/x3/8x0ePHhGRCFD17Nmzlf/PyurqcjptHDlypL2zA4iJgSl0FW+OgdI05VuFEhGAp8YFQY2R/xtAHveGbJ07TpAgQYKm8F7yRM1HN+AAMvdNlIAVwNvxJm2qHxriWNuEx90Jdv+NjbPxyvU8+Q7zptTq3FrNRxs1V9Y0zeJULm+Mvxz76ssvv/3227GxsY2NjWw2K2y5hXy2r6/v/PnzV65cOXv6TF9Pr22Tbds8pkARX8b/fQsTqPBEAPDCXwitipjx2+5sGTlDBFsajMWRDBybqt/cH7o1DGqLwGlDCp0eiYCVNrRpe2jsS8Jjfm+OACXkKsicJuYAQKj6WwlVESpVslHGgvWoIgBARuAEo3VXg0TENC2Xzx84OMJ0bXl5MZ1L3717d3Z2lgMVy6VisXzjxo22trZSqfTRhfNtbW2Mqf4IChzVD0jbtVtDL2qVvBXl+UZGkQAAX5RZ5q0bgQAZeVGX4hF41E24k+zcb+h9sp41cy/bu9PtnLUZydf4GwxrfBp/oXE1bMa39G3CpxJq+iyFGBK8LAOHC3bHGlk+IiIaqJHNNyqV50+efv3119/duDY+PmZZViqT5raFTO/s7Dxw4MCnn125cuny0cNH2tvb63XLsqzw+CK0ITKBGhKK2DSu7xU2p/2Ii0m0BXhve4Akahw8zquCcozqa+YVFfzTaWFgorMT99DYf3CrPYysB8W0JItuXhET2u/PqMzwlUjnLoRnIgovSOTC+096LCJqut7a1nYkm+Vgr6ystLS0PH7wcHltlTFWLBbL5fJ3125ks9lKpXL2o3OFfCtoujhXCxsDRH0YEBAL+R0HJk7yLr2fnsQvrp03Y4v2WpyNtyBaTJBgW/ig39X3kidKkCDBWwJihNY/asruzO99k3hN06qVyszU1M0bN/71X//11csxRBT5y+p10zC0wcHBjz766G/+5m8uXLiQTqdrtVp4fuyvjph8BdUusibEiILUV7gocogmh7NAUOyQzq0JCVKzug+Misba5LS+eYQNm9vFjsZIpwK+FYhjWXXL5wAyEUxATxRHFaHrRwbQ39//n//zfz5w4IBpmuVyuVzZICLdMF6+fPU//sf/KJfL7e3to4cPtba2ImgBq7tbn8D6KLLdHG2C+KNR20a7XhBG+g5s+qQCEi2ALbxsHyTes1ldNI+zex/43oK74m38kgcURkFxaEhFwhjTmFYsFicnJ699++2//M//OTs7axiGruvAqF63c5nc4cOHr3xy6S/+4i+OHz3GGKtW6yDSYPktHOgQRYgIwN0MVu61wK+LdLdHOYUB0e48ykCjNTmaeDfVHEHnHM8ciloYXHx13+p9bF0hu52VG0o+D0D5doQ6CbzWA1CsApZlAUdd10dHR//hf//vg4OD/1f5/yo/rpimmUqlGGOPHz9eXFy0LKu1tfXg6OHWjg7OybbtBuQ+xHy5qqoo5pYx3vX4nesN3rMuOkGC9xPvMU/UjJ0tRkkk8K50tu8wEiVRGM3HYW3cSgGb8y40aXh566oeXNW9dAhQNEQoZ8DMORZEDGMCWyVuRATiWq02PTX1xZ/+dO3qN9OTExvVSjab5cSJU2trYWBg4MqVK5cvXz527Fhra6urJHLn6EhMBn2QMiKQ6nSf7ZE1WHogaCRjGPiyWZGTOh0dWypzZ/6AUh5O4rfX8tIfDT3dkmwjdT5NTjGiJf3N7NOVbL1Hipkyxr1dzRzZCCKKhPMswntlxBBwVxqKzkj+4oCK1CZoIEUueEgi7hpnEZEhplKp3v6BU2fsX//61y0tLd99993MzIzF7UqtWq1Wv/vuu0Kh8Gc//9mFjy/m83lN04jciEgN70hEHCIOAFysCRXjtsNCepGqnO+TAQASV/PdgcMwxn3DPi1A8JvlDvnKXU8KP9w23PSRNe5bmjmXb/GsZvC+laN+uT5R3Rauu3kEWf8H3mSdA69KWJ0UCIr0hhCOEx97pNKDOzUWKj051hARIPdGItlLaEBQq1ZfjY198cUX17+9Nj87V6tUM7msZdtI2N3de+DA8Oc//ezy5cujIwdzuZxpmrZNID4/0bOhTHtOyKTQhRFSUEfpqyf3EmGGiQMxyoD8pkPh+sTdyZfJ10srV/EUTOIIMSI3Vvcw8CLHMTE6halzp7TAbzWuEIbYpfgnt8XRRPwbo5pB8Vh86lT1Sgo3R0EdK0gSX8ZIIkcOLWMVMWHCIkBXNkzIMJvLDQ8Pn794YXF5qa2j/c6dO2urRUCslMumaV67el3X9b/8y1+ePXculc1omoympIATKvGqGYrmD4xx0v4hRhP5ZD0PdSJC5BSjRpUTlFAbOk/QyalJjR6Sc8VdRGRpzQgYP2gRR4K9hA/6PXyPeaLdwbvG0CdIILCT6Dc7gssZhS26ACBJIl8kIEdJVK0uzM3/cOfu7377b48ePdA0TSiJiIgxGBoaunDhwi9+8bOPP75sGOlKpSaoJZ/VDjkiAvPNgxpKjYSTgxf1IG4xx5gIiADg2BvVPOZ+OypGbvc2BmbVUvD0/sAxTYs/5D+B1yDgH6Ha2yOKQhQrwCjrKwCAiDpkmmZXV9ff//3f9/X1ra2tlcvl0kaFc65r+uPHTxcWFjjnfX19+/YP57IFxtDenCaSV3EvGy3sby5fdex7uPnwEl2+6hzhP/h9mtO8T95wW0WDu95egzRDJu6hpo5TFcUpNdQRJ0DcCFNEtVpdmJ+/8/3t//c3//rq1SvGWDabFf1/JpM5fPjwJ59c/vnPf378+HEAqFar4jyfkkgkRkREYBwBVQ/T1x43KrrMcPko+Gy31/IPLwGJk1vCuzIGeYMCeGN33GHiJ7iMCSKAzLKnFuVSburpakPZtkijhiMjI//wD//Q0dGxvLz8rPbCNM10Os0Yu3fv3uLiYjad6ehoG9q3P1vI+4oCkKGoo0IXBZ5mYC+AsJ1wtzLhYSgyntfexqYT1LfvCZsgQQL44HmicCS5YA+u+ji8hQq+59hDU9I9g+at+s0c9rpWWdjQ1i0tmSD+lWoLRVUkCR3xWTHGgBi3YWFu8Ys/fnn16tXpiUnTtBE1QLAsK5/PCiXR55//5OjxE9lcjjjYtk2SQVAylCECIxGhwImMw7z5L/pyXTnGVABS7Gw+qMIWAABb6oa8IxxzIyhHSk8EBE0tT94veBwKKf9GXz8SPolR5IYt4XV9g64dWISgVrmeKM+LCHu7muMGFZ8wdcZPMgOUOJ0ZqVQ2mz55+tR/+S//pbOz86uvvpmbm7O4bdbqpml+/fXXTNd++ctfnr94IcUyQobmqwwxZGILF6oElPmnPfu8fHZyfRidr4e5cYq8LcEHFN/u4cxT8n6Vt1ce0/So1HjOvdUINW+y327+WnE90ptgmsKPIW6L87VG1qdBkKlIFRoPHQZRRwYOY1GLNO5sD1/69YI7nLsv31nswdLA4B7AvP+7rrzKal9mmkfx+cxMT//pP/549erV2dnZarWayWVt4mBDZ2fngQPDn332yWeffbZ///50Om1Z3LQsAARgBCTbAbnIViX0pkypc5DCdnU6wRsIDhiqAlFs5hGvDgefcsrRyYaedcQLRMSceD1qVcM1bNyVvPnprzooe6MJIoWyyDvzjYhhxZ11YENRn6vqFdIiBOQgkhBwENGEHAYnk832plIXL14slUpff/nVzZs314o1jcis1hZm5/70py8tTr/8m786c+YMaAYAgs2JiCMTL4wLMe5wTwTn3jDnnDtmKPHcmQbg6KCFXpqcvUy8l+FxKHyjzT7pt4P3by3wIVs43nUkz86HD5wn8qC6tYdNWAlJlCDBTuALG4EcyBfowTSt4vr6k0eP/+P3f7hz5w7nPJ1Oo8Zs2zYMY3Bw8Pz5859//vknn3xipFPVWpWBxhjjksZ1roEcHYVRXDXcK5IIXYkQY4wMnciJozjRvSOxw1eCG8lIri5QznAdc9+Ostq+cxDhljhxdzUSMNJGnBLaFaaQws+XnANsmxPHnp6ev/u7v2ttbZ2fX6zX68VikXTOGLt378fFxcV8Pt/f39/b35dOZSNsAISopJVRh4OGo0BTKp6tx58Ke5p8UG/QB4Wtzkq3x+Aw5cdet9hH6AejPkG55LYj9BSiBMZYvV4vl0oPHjz4t3/7tycPHxHDbDYrLA2pVGpkZOTKlUs//elPT58+LWIS+WUdwmlUuB4HXYObh9TRxnQjLnfkxGHbvLS4Dkk2lFLLyJ6nyWhEew0NdFuBsSNulFHLaTwSOcfI0lz380OHDnV0dGTTmYWFhRcvXtRqtVQqxTm/cePG4uJiZ2dnd3d3Z3dvJpNRahVwH/PGRMmFudkxGw43ireasjEmGl6CBAkS7BAJT7QJEEnxokj4xQRvHmFue6ts9+t4b/3e/i4NhN48xglmwAECtjQxN2KCSNGZtlZe/+qrr65+8dXY2Fi1tmEYBhGzLSuTyXT39Fy4cOEv//Ivjx07lk5nAICBJvggEfTBBgIAjREAIoFIlhVdZccqCG7YitAUkSMQkQYoGB8i4AiMAEXadnHnUlukRtgBENoWBARGpIRJRgJCktEzuasjICkuijVzxqqEQkqitwWh5wlnwVO2kPCqirBtSq8BeaQbKUO1zzst4yntyYn3Id8sQFucKn1DOABwIqYZuYJx+uyZ//P//N97e7v/9Kcv5+fnbduu1+tzcwt/+MN/mKb9N7/61dlzp4EhgYgxIi9KJK3HTj47EeUEAQAZirgViFJVwAEBuZPnGKDh/N69l82yAgmE9SBxq/qwjmavr/83Q/M5vMLHxMVOaj6mWzOx4bZWN/Vbdh67Wuam9WShH00iXNu4Le7dRd7+6xhBZCydyKIbfxw+Gx4xIOJOrx8w+BERY0zX2dLi+hd//NNXX301MzlVq9X0dMomjoD5fH5oaODKlUs///nPR0ZGDCPFOcnuX3Y43LEuAJOCVe8GpBJK6eKcfGFSLSLULojIhRGBAREPd9wItid7BS1AFUm1UejdcG4WPU2NUx+AiJ7ZaTHvGF+r+uqzE2zvWwu+mUKJ3HB88R8vgiwp+c7iaqKqqEISNAlPwUqgvAyCzUEjlerq7r78yRXbtv/4x3+/du27UnXdBqzV6jMzM7/77b9tbGz86m//5sixY4SMuHj4gI7+1GMMhc6aGKLQMTGSkYkAnZoj2aT4xjEADoz57kuMtWLO4nuuEc8xZmKxM1Xy9pCspxLsTUSqdz9cJDyRD6rrmWs6eNuVSpBgT8PnKxQVk4gcmU1gO2OM23aptPHq1asv//TF1a++FjlEOAAgasi6urtPnTp1+fLljz/+OJfL1Wpm+JN0J/EAEBteyH9w1HZRT7f+wB17LBHZADqimpImbBYW0iSHhGIYksE3MP9+aAiQKUFfM/8zVCVIYTmSU473dhGRbdvEaWBg4Fe/+pVhGAuzC0S0urrKOTdN8/ubt1ZWVrq7u3t7e9u72lOpjE/sFl9h3xLUC9XOtisvaAbuTOUNUD/vgMDkfceutP9W35nAPPidjG+FXgJNbwsAMMZs266X6i+fv/jjH/791q1btVpNSxnAEDkKsepHH527fPnyuXPndF2v1031dO83csZ82RB46DDRcIF8hqKvEPwybKZw8U7Z4lAhroIosmhuLlp8b6a1cW3ldteqBLgZRIqMAuMOERFxxtjhw4c7Ozs553NzC69evSqXK4Zh1Grmt99+u7q+Njg42NHeVWhrTaVS8kSGyN1a+dXQ0bfmq1LknQa+c1VYlIiMEiRIsHN8gDxRNEfoOqS4W0SUXIdh3zzzSILdw4fD4zZjnW5my+tCnO0u/gQGLkVCDkPkxht2fbKIGJGuM4vsW7dufPmnr548eVKpljkAYzoRabqWy+dPnjz5q1/96tSpU0Yq47AwIjaByGDCEVGTOUEIgHM1YouSBQYAiITjGDCSv5kI20DEQ9yEa8t13cgsHxcm7sF/JLlzU0U+LmtAIK2d3pUUvQyA344XYdmLCTbwdueAFFoUCahbkLxJNkiVWbDW6Cg2hRGY0LHJI7jBidT4FBzIjVskSBou0tspEh0CxpiWzefOnf+IiH73u9/9r//1h2q1yjmv1mvTkzO//e1vNyqVX/3d3x47dtSybLJkUGsiIpmVzIt7RYwIgHGhKpKVBADpkEKobIlvLi/aeuNDI6PPNFj272JvEBf4ZnevsiVs9bph1c9uaqxIqc8m32xoe7zFvsnUPy7iRoRwHKK48rekjWJbacPmx263347NpOnxHUo/45kiiBFBJP9CRACMMWak9Hqpeu3q9W+//ublixflchk0Rghkg55Kt3e0nfvoo7/+1V8fPXqUaQb3d1aS9kES3mYMfNH0wxFhmHNpV+RDbgwaX8XizRVSE8TJr6x0ou95hYTnq+RKL0Ek75JqJu+i7pEoIu5gZGV2Y0xp/ukLxMzJxf/i9VBExBTbkIgr5IhTETzTjpR0AQBHkmf5SxORiYQamqGISyQ8kG1ARjYhIuciqCIXaRMYY7qR7uzs/MnnP02lUr/97W+vXr1ar1sWJ6tqjo+9+pd//p/FYvFXv/718PBQzWK2bYtsnkxkVPVlIeAkSR2OnCGijH/HxV6pqyICMbNwWoorTcnAGW3d1nM/Gl//E/OAEz5pt/EhrF/eV8RF+vtA8QHyRAkSJHgTiNQWub4AjIBzmJ+fv/ndjatff7mwsMABGGNCPV5oaRkdHb1w4cLHH3/c2dleq5mcc4aozmfknB7ACVAtL9qksVQ4xmF8zJcG5Jh6lUjuY6s2YVJuLLZCoBzxjsC/7gJp8Y6JTySt4Yo3nzSO++83YN1FpXR5FpFQFTGk4eHhnq7uWq02NT716OmTlZUVBrixsXHju1uVanX//v1dXV25XC6l6Z79GQCiZBXbsPM3A2epG149sqapogTbwDspnHkNeAd8FTc3VCDnnLt+PUJ2SkQ2t2dnZ7/79tq3V68uLi0RESCQjZqhdXZ2Hj16+OLFixcuXMhmskKsymR0fHDLYYI1dtzjEJE30Q8wxgSboKIxSRQHIl//F1bvqiOR+pugUT2bUTbtWQTkqAHxFzluXbHnkv9P0RoMhVNZYC8RMA24TeKZuq8W55zIRqYfPXq0o6NjbW1tZmZmYmKiXC4zxorF4rVvrlqWNTo62tLSYmSyuq7bnIOwUblUl0+dyuOGdkQkEk5qQSNU4LhNmy5BggQJtoSEJ4pAyKkhQYJdx1Zts3uH1RazGVkrxRkHA9M1cFQ84KhvGHAgIGCGrjGAJ48f3/zuxo/37s3NzZmmyRgDJpmg4eHhv/3bv71w4eN8voXIEfdh0ELGGAMZPUCGpgbwsSzcnfY7LBIp1kiZxyrgUuQwR3Efvw3kRRpQegmbpK2PiBgyThxIUFvBiR0SYMhHLkAV+U+IqAbF1/DNwLei8u2Q+iDnL98zczcC+CITSdspAhG5lnBEKUaTuc/EAxL5aEQjchuEooeETE2GDxI+hBxQY1o6m7t05RNNM/7pn/7pD3/4A+ecc6u4vvryxYt/++1v63XrZ3/+i30DvfW6Zds2IjrBQRghEtgAoJEGAChUS7778LKeeVE/FGJLXcgplFnEtxwz1sTFqWkG4Qg4ezOjmcCW4vU0KKEZuIzblqkijLmKjDsWetFVS74KAiXHoqOydKoUV2cXm6qbIw+OK6FxC2/vTdjpaBWnJZEdNTFwjBBSJwLMXUGLjamUXjfrjx8+ufndjfv370/PzNRti3SGxMSxR44c+vv/9J/OnTunaykxxBARV2LQiOIQkDFG5OkNvQRVXrVYgBDnNjgCRHmWJnS1yImIODLG1AhEjJTbDbEYcrM8QfS7XNEZSRmSlNCAzKIl+i9ZHydSkleap5klDLhR7+bQ0swcZkvvtgdy86VKXkyaity93pEOEyOURFxpiGBcJ+4MN/IQwRwC04iIMw2IAyKKOIaMbADQdL2zs/Pnf/6LdDr9L//yL9euXeOc27a9sr72+PHjf/mXfymVK3/2iz/LZFrJlBwWR5RUEWhExFHEwJL6ONcaRiK5mZyOMOeW/QOHULyKvJzAwD3B/zwTJEjQNPbamustI+GJGsGvQN7TBrcE7wXesS5JnYr59DWOpiN4MAIiMmRIsFZcu3///tdff/3y5ctKpQKMMV0Dokw209XVderUqUuXLo2MHLRtblk2ABALxhtWl9+7cjvb4IXRc6rzlbPFtFZbXrC+NzM/t61UzVHwIIYIYBMxRz2k6om8U+Qyysf62bbNEA8cONBaaFlYWJganxgbG1srFS3LWlla/u6775Dpw8ND7S0FTdPEWhFAphzyBHG7sWp64wb8d6wz2W00vv3XNqC/fdNSo9jA7yLCcd8bWPKISNM0zjnnsLq89sOdu9evfjs+Pl6pVJihi6dTKBT6+3vPnj176dKl3t5ey7bFEOOTKKLXKXHO3etE9O3+NO0uVJIoWGfEZjKaQcNOwyXYHe4MARyXM59KpakeTPD1bC/4MzeNXbHjBlyn1amF+CE0ROou9VGKeY6m68ePH8/n87OzszMzMwsLC5VKhXNrbm7m66+uGnp6eGT4+PHjjDHGGOfAOWfocYsRPHJ83KUG98IBmODE3pEnmCBBgr2PD5AnajR9VM2/oRH6A592J9g5wvz07trJw8e/jpeWAaCqJHL850VmKCHwAeJiDqQxxxILAIio6zoCLi2tPHv86Pat73+8d29tbQ01DTUGAJZldXa0/eVf/fknVz7r7OwUFlIAhohI3n0R2Oja47k0vwWmRn7+yLPrc8c/DRFJmA/V6DmxCgAPmrDoCpO2F0XCmZ2pBJljD4yEeqWtPqe9Ng/0WWXDe2OO56HoJFKV48QnEu4AghjSEKViC6X7BxAQc3Rd5NFEnDgxN4IJcQCNsUJry08+/yki/tM//dO333wFRJZlTU1M/pC9/dWX+5kGZ86caW1pq9dNlSpy7cmBu3PuN/jcfPG8GIlPwJv0c0KGUZGMFNVATIs1h7gINc2c9a4PcM3bAHfCnjQs2dNo+NVzzsbQgeJX3IiwjZhEKhrsCpe2W++AWqvdfK8cwwOznchzXIoIPQuE6Mk1TSOileXlp0+f3rx5886dO6VSCXUNETlx27YG+wf+5le/vHLlSqGlBRkyjsKbTFmcO0YI5tg8ZCUY+lfqHAFkbGKf14+X4NxRprix+eTL4XcfE17TIiYaD+fnCg1HXLw3xBHR+S27JC6lMYxkBiyOLMKaocboiWSHAmPhdnukuLe0GW3R1uAqdNFzQY/un92UdWKIIZlmTCqJRNxxYAgEwGWeAkTkwAgIxTtGQI6ymIgDQCqV6unt/fO//AvN0P/1X/7ng/v3NcMwTXNyYuL7778f3j9Etnnq1Kl0Kls1CUS+VOduETQgkJlh1TsihuDEKvK1kdAMiQpzZTtA1Nxlr80WPgy8H6Pqh4m96cnx1vAB8kSbII7IT5AgQQNEWj5DgiMCgHrdejU2duP69UcPHiwsLNhERjpDRIahtba2Hjly5NLFj0+eOJHL5ZQTtwC/MmU3RRxMmTIHPQ+itPpxNU96mK1CsH5ayJYrfrs/GGOc2+hFQZJ7icgwjEOHDhmaPjk5OTs9ObewUKuZlUplcnzi6tffpNNGd3d3NptVn6KbnVoOCsTCU/lGFVa955yNO26J5vFBz2zeIl6/bKwZMdT7oCRy4a7h1cYN6HTAc/AE0zSfPXt24/p3Tx4+mltc0HVd0zQASKfTrS3tJ06cuHTp0qFDh1KGATxenYSx8WKUOjQ6ILwTnXjJAE0EXWoCLodFLhslEsNzzpAJAipuaG7QHb0retXGPSoD5P5bCbS5qg0LCoWAGGOCAwooyLz+3P8S5vP5k6dOEdHEq7Hl5eVisViv1yuV2tjL519/+UU6bfT19A4MDYITvooiJw1u3XfpITiUWEIXJUiQYDtIeCKJ8FwhfgRK+MUEW0Xz8SBUNP+OvflVAXONdu4WcNQ9ykavYogIoNkWra+t3Pn+1u9///vp6WnUDJ0hAVi23d7efvbs2csfXxkdPdzR0cE5dyTfTl4PxjhZ4neTfK4m4xGo9YyKX+AyDqKq4rejSGfkrUCCIkPHiAuR8/7QgsAXCUKZujVjuaWmj3zziFguqZya97Opc9VcP14CG38EEHAcTERgCm++zog4ICBxRMZFUA/bJkTK5fP79g99/rOfWlb9D3/4w6NHjxhjlUrl5s2bjMHBgwfz+Xx3d7eeypimqS4bODIAkewGNaFKAwZSG+Dco3gHRKyiOJeB0Pvj7FJ+x7RScwirOdTtjc/am2gmVtFWR+QtZfvaUsmN0PjJRn0jDa7bgCpqPBbEWUrjrrW92U6zx8dxJYHgMm6gdyLZG3POZfYxcT1yvi8i2+bra2vXv732v377bwsLC4ZhMAaE3Lapu73n4sWLly9d3L9/f1tbm2VZNrcRNG+4Qo5O7BggBoCCGna+aEX3J/t2LnSp7kihOpShw92Qk2NLKtYJAECTokSmfP8aRGVSE5dVI/2pjrZO7G4ZpQ8AHJmmLWMiuWpZgkCUojiE1XA7w7Z0QxH1dN9tZzj2hmZ0jhC+d9zZ7MwfnGhNkcyeF5/IYX9kgQyJCLjo7YU1CEWEclG0kKIBoG3bANDZ2Xn8+PGf/exntm1fu3ZtYmoyZRjr66vXr19Pp9MHDx7QU0ZHV4+maZzL20HgMosiuW0i3jpfE4k71xkQcTn6KJGJ1KNIjk0B0jOiaffO/CEKe3lUSvB+I1ES+ZDwRAkSJNgmIg2VrtN+wM9f1xkRzEzP3Lt754c7d8bGxmq1WiqT40BM01KpVF9//4ULFy5cuNDd3a1pyP0Tuu3FIXLjBzV5umqxdqf+oMyomlcoYZhVCl/swwP6jLhbg8jlrM7pA5CujsLhizECQRuhSDzMGGtpaTl9+rRtWlNTUwtLi5XyhmmaxWLx0aNHX33xpa7rn/7ks87ubECk4AQoR0QOhK6qKBDbYntIgkm810jmmrsD6YWqsC2OJ5ojmCDSdd227Znp6bu379y7e/vV+EtuAzN0YKgxlsmmhoeHL126dPrsmfb2dsYcAsX7/mKClEfTvh5J0Riu41LIGLmFvgMdhzd0rg4QFLW6zfLh6FU3vVPR9OqIE06gGSxQxgwir3xlGhOY1bj/isY3DKOzq+vCxxfr9frc3Nza2pplWfV6faNU+vHHH//0H18wpl/+5IpWaAUZiVzSOgqilUQMOAfmk9B+ME85QYIEbxEfOE/kddAxMYlcNGN5S5AgjOat1rCtVM1vQkkU1smTEGOrExXO3HmqiBwhYwtJSy8H0BDg4cOH//T//D+PHz9GRENPEyERpNLpnr7eY8eOXfz44xOnTiKibduMaURkA+rCmkoWCpOxA/nNqpIlzyLn2nW5GwEkPKcMxH3gzkScqRNJRS3iO9dRp4ebS9GlE7i2u6iuJaBxajzv220br8CW3s+tIKSRce9RZitzKJJAy7hMkPwTg9Z8Jy6Dt1cYj8UbAsqLIcvXZKqger0OAINDw5pmPHvxcnFx8enTp8vLy+m0sby8/Jvf/KZSq46MHmxpa0NEVz2EgARu3FmGSK4Jn7izDPE/ETdfm/++bA4MMRQz43Xh/Rinmhl5m1EY7WYklMbwHD0AoOmn/XrWfI3VWHtRryojyDh8kOwNPAmmDSiVF5rSc3AE5MQYcJvfuvHdv/zzPz9/+oKhjhoBIueYyeb6B7pPnjx+8eLFQ4cOEZFpOcHjHNUgyK5DjsIcAVGqNlRw9wE7idQZgJAycfSNMo6fMicgyQmIDaLlJQfhhT9yBS8B1Y8IUc2ck8F9ckrVvHOl8iWYGMs916/KUY55LSKTHUT6iCDTmH+fBPmOELIypux1uBX36ZA3gnixilwvZWe7q2MFv5FJEEOMMeAcAAltRDnE1Go1RDx27ISG+rNnz5aWlmZm5ky7lMpkpqam/vmf/xkARkYP7s9kRNRFmziiT0DGiIMwRIi8DQDIUbxJDDhwhohOtkQhG2PuvagQBg11s/p4E4bp9eP9GH8TJPjQeaJofFAGmQR7Bu9JRAkSAncFmqYhY8VScerVxN3b3z969GhpaQlBIwaISJzncrnTJ099cuXK/v37DUPjHGzOxdQLXa1+fKwfzrmgpLZFtCn1DBpoN7/TbV8L9kQMiLf8yokZfXBjfLY4QuGrF4xS5E3cAUTsagDb5YyEM5qzHVIpo6en58qVK5VyaWNjY3V9jYhqtdrk5OTdu3e//NMXtm0fPX4ym83UapZ7FeHNRpJ2BFDyGUX4icTgDY4sySQ1wXuCsBQ0HKSMMab9/9n77ydXjizPEz3HPaBTa3l1XkHNalaxqsiu7p3t3R2b/3R+WHtm8+w9m/dmuqdFVXdVUfOSvFqnlkAmNCL87A8eEfBQQCATyITwjyUvAyE8lKs4/vVzGJ4WCm9evX74ww+PHz8u5M8QkRgyRCCYnJz81a9+9dlnn62srBgGMy1y41i5SQHY+pP4VXPM0uybGwUkqwL/XFrv/85P23pm+Pu30j0cqSvaCIqDO/hVRQ7kjYPmCpbBDo2H6UxqdX3tyy+/rNVq//RP/3x2dsYTvFKpbL3d+uabb+7888Zvf/+72xv3DINXa8TCBaXMDRWCgEgsOFIViv540Wg03WWk7EStRs6DHZGw2lZryM9H/Bg0w/FszxdxrNMxt+Cevfrs9yo+0JY8O/ptIcuLOxqHyGQAGBRyEFTGAtvZ2v6n//k/f/jm22KxaJomMxgw5AZyw5ibnf79F7/94osvxsfGLNEsfcyR45AdEAYcoUfTywMh2AYCsCclyEOYWopJik6ASLhPWaqTZEQYAGlfgKCjYvmbx+h7Bd9HqB9TiPY01MmA7sXLlHun7PJLn+uniZpX0jy76svD9wxtkxA0o4bZ+YEISFpsHK8fbspe3yK1Wl0QffqrX6VSqafPX7x9u1mpVBqixjnffLv1f//f/696w1q/fjObSctsItNBe0wXwY6aBwBAZHF01Q4yKp/M8AQUVBUxg5GvkKoNTfeG83vrZ6eXdKp5Cda0ceIrdZrbz6W56+HHWut6vtO33/ppxG9fulOH2LW6YqqxJ/XI+tmW2gh3kwXEGEtwxgBePn/xv/7xHx8+fHh2dtYQDcMwkBuM8wSy1ZWlP/zh7z/77LNEMqk2MQBAjFizOiIAQEZExG0PNOCzKDFivs6hvBq5UnodkofIoJxox8lq7k+sGTsxMu5YQI9pN2/SszIRulPRPMcKd8ewpxuuq3VS6Fak1CgNYBxfY+chKDySqlXnmXBQJuUBeN61Jx1nap+raZWqItnHAdsvOCcSAIIx5h3BQnBi8FVrjWQq9eXf/yGZTj1//nx3d5uIpCf1Z8+e/df/+l8J2LUbtxIJw5uTBAAIZIhk64dQOjGSejJsvnF0clxgDh0i+j0T+RmmnnY/o5/z4DIkY/bdQmdiG7cKdmcaazSaKDx+Rr1FxqPQZsQYM02rWCo+f/7826+/evnyebVaFQCEYJom5/z27du//vWvNzY25uZmk8mk04P39HXU3lT84hnoEIfOEfP+pO6EoRkcrqYJaA6hIxKGO4zwfwg5qP1gd6De3RkD+HaTn3BjY9mbN2/+7d/+7e9+97uJiYlGo8EYOzs7e/Lkybfffvv9N9/u7u0zxgzD8HkVkZ+mcg1XtETBq/WpFULvRY/99j0+p+C6B3nFSC/CEkTknCOiaYl8/vTJkydff/3127dvG40GOE1MKpW6f//+p3/zq1u3bk1NTRiG4bP7gD1mAODUhmpp9eh9fLKgAO6WZs1zAXdsAchtwnS90SkdPbFg1e179cG2Rq5njMkmhnM+NT2zce/ul19++emnn6YSCTnrOZ/PP3789Ntvvvnh2++Ojo4NgxmGvwlW511HNhxkN50ajUbTU0ZKT6QS/nUUVil3a4xF0xr9bOMTFT0taiy9u/h7vUG/i7IQWQAMkSMWi+U3r18+/uXR46dPDg4Pksm07NwDQCaT+eSTT/727/6wtLQkk0YQQIDIbTl304dQcI6Ad22YCUnuKUf51OtkAG4oe7TF//YBvjTjzyqyvzEclZO7rF6t/06il+OdLb4WoPXWyyh9UZopBrzpnlN5bqr/COnFFp2oRm4KUrMjJ50JIWw/EU1ncwwAmBO+iIhcp6GNhpXKJP/why8Nhltb7/Z3tzmiJcziaeHJ48f/+D//J6D44osvIJMhQSBk00AAZNkpELfHq7n0SIoEIL1tgfu9yMBVTil35HkmAW+kwW/K7n0L9P8I5/m8s3VLp9Ci5mSBhT7kfNfW2rtT/NbkPGd3BRFRLuHR54RYnRyEAgAMTABAoVB49fL5419+efz48dnZGU8kGLPLzcTExOe/+82XX34xPT0twiYicbWEEQMEO2AiCp9XGqdzKNyd5QrZRnginaGiFSL/eu8NOompUhdnmcgK7B+q8GLOgRDAr34Kq1G6WzP0aRkJNbj4/GGBa4IJyXtkETFbvqzmGQ4AwCwAICDpV1EgkLCmp6f/z//8f3HOd7c38/ljxphpmmdnhYcPf/j///9mAMXnv/sdInfkbLI3woQQFhIiokBkLKhxdnwwNRtNdewkSpfqrOnTt9PH9KLd1N+V/Y9+LzYjayfSaDTnBxXlticGhxfGGAIcHx396d/++N133xWLRZMEJ0LOGGNTU1Pr6+v379+/d+/exMSEerDdY2Nhnw6dXGGbraT8JMAOHFNougkGXZB4P7qaLmCp6Y7UF4DGscdhIE1nvgoiAZPyNyFEMplcv37tw7OzTz/9tHR2tr+/f1osEtH25tYf//jH2dnpu3fvLi4vAwDnXAjhzlxAROfb0p2yZ5+uOZ9Ecxnontww0EIWQSTdRdu7hDUxAADbO5v//M///PPPP5fL5YZl8URCCJFOp8fGJm7evPnee+/dvn07m8uprmQgoo3gEGKZUs030Gz+2rvDi6l+DW1D/cfa87iFNP04dnDhmhhCGVnlkWJrC3fZ40q9gg6C1Elq9s6IaBsE7bbGbRGc1oc5uVRIW56wIJvN3rlz5+jg8MfvP6rX68f503q9Dpb1+vXrP/7xj6urq7dv356Zm+OMA6DrR1s9qW855F5G9gVrNJpLYaTsROr4mN9CHFU7X5ZGQzNMXCTPdPrlcxH/ROcfJ3E8LIL0HOGucX39AIDBmOz7vHv35o9//OOTR48swmQiDQBCiHQ6sbK6/v77729sbCwszAFAwxSMMWCuRwCw5/w7Vxm0JviwRwUD/SYn7oz9s1nAPY4uqe0HvqpzabHeHXemsLhXLtLLhox9E+2bprVflR59J1/IHXgUUW/OtuWoA7TOsgBgTpwg+VQ9TigQgajp1tpxeBTsSUNTzSQAiAEDIkSey6avXbv2+9//vlor/+u//utZ+SzBk/nTwo8//ri+vvrJrz7micT8/LwUK8nEuHRCC3K4V4Dju0o44f+QQnrzzh0FphiEqcx8jjZ8PzUAoDzJmJVelGomuLV1KevPnkC3Smvo3fWkNpBEWYjs9Y7+BwMmfPnZLgu+ZdGLZ8//5X/985tXrxhjcvIyQ55OZq5fv/7BBx/cunVnenraEn5PQ05abnQp55ufkdcEEH6VzQqJpHqIwJt7PEYfx9Dlv+s2diSl5qfQ/ioLqxWCGiKVbrUjF/H51X3sG3aacVunJsPSSZ1YYH+fhag5euSYfFR9K5NRL1H6wkO/4cYeiCAAIAGIaJLgaExNTd25u/H5739XrlW//urbSqVicDw63K+WKxsbG/ce3H3A3p+ZWwAgsKVjgjGkMNOVq2jzxJ/1KFiV56DpmJFQ1Wlic/V1Wp8wUnaiSKKNRBqNJhxlzM0z6uUGoGEMSsXi8+fPv//2u93t7cLZWSKRkJYgYRHn/MG9+19++eXa2pp7rG9BwqBpbgk1Fbm9PfW41hHrw++o23KiwaxMruBL2M1E2Oztk3oddoR72XcPhChW/5XuRZuDyeCZuOHTkRHBxMTEb377ea1We/LkydHRERAjs1Gvm7/88sv/5//9/0Xki//b/8ZYIAXlK9Ena5IzaIgCM8q899Ia23t62/00iqRL023EVT1bdxwCwC+rcQsg5wwRTgtnT58+fvjDj7u7u6VSiScSiMg5tyxKp9OffPLJ7373u7m5Od+xQXyb1IYmVEwU5XhIzY5RSpbLJGwu9rB/+bQc8VHVYVFvRwaVD6534ycI4RGxun0eKTKyMw8CIgqg+fn5L//27yrl2vNnL09PT+XWWq32w3ffT0yMpVKphYUFASiclsrV0EXdhlM67AvQDlU1Gk3vGEo7UZyeTRwlUZTnl2FvZa+e4XjCvbiLqDg+vcUzfqWuD3RQSDQ18AhwdHT09Z//8v23356dncn9CcFgiWTSmJ+de/+9+59++un4+LgpLETZfbUTFNHDnQErUquvcbsr71y627l303cdZITcnbK+jYYoOpR7gGYdoiaJbWIqdfctd+rVqEuRjAAgavhcun5Apj4T93zotbj434XdKXc6zTI2Gbr72lFpwDFrymFZIQQC1Gp1biTv3rtXLJY3/vTHw4Pj4+NjZjY45+/evfsf/+N/rKytfvzxxzPTcwG/ISSEaJ7GaypSoWaBAOE4QwmVDrXNQINodIzN+aJxRZWLi+TY+Eqiy+8P9Lq2D2qu4xPnTfm3qgGbPD7dmpbcoLSieTAC7m5v/fmPf/rlp5+q5bIAYDLgpsHT6dTi4uIHH3zw4UcfJRKJhukoiZwonE2tnhq/TPEFoxoCkFQTtrwwsNsT53Lde2neJEMK3BFEtylhtMljiBi9j3B9tKko1ZQIy+GX6SOshyXIdTkUjAgmF0jVGamCXidSGqHHGtjMnwSMA5GQWmBAIQc6FAsUICIjEiTqNZHJjn308adHR0f//u//fnZ2ViwWE8m0wfjz589rjerGvbsPHrw/NjYmpF5I8aEVoksNW9PRY4lWLmsuk+H4xhli9Md+E/0UADqvajUajcQ31uquFELUarXtza2vv/760aNHlUoFEQnBsiwAWF9f/81vfnPnzp2JiQnGMfh1LRNhgAz8W9WBvrbSjKgdWCAdV9R9Qa58ALkd5/sI7CHutDIp6Jd/3j28uatpiAwRoLlfd3IagOO/AxARGMp4NBB4TYuLi//7//5//Pa3v00mk/V6FUBUq9X9/cMff/zxT3/60+bmpmFww+DO5XidiVAHzagayNgzLcV7yyzQNvd5rtJoekHzq94RCbrrZROz+fb1X//8H0+fPq01GnJnU1iMsTt37vzmt59fu349k0lxzpwKAVlTHNh0W4Y+U7RzCl/F0raNCA42xIyeqaoUQ5cD2FIv8uJuVn9igFjXNLgo99dKQQYY1T0IzxDKVt+T9HdRQqRGeO3ajX/4h3/4+OOPEbFRqwNApVLZ39//9utv/vSnPx0cHBgG970d30tsccf6E0aj0fSIIdMTxf/4iWMsDGqItFmtd3Q6112bey+bEN0NcuHtnoK07zCsVmrbm+8e/fzz86fPdnd3U6kUYwyRM8ZSqdTt27c//91v166tMwYEQAKJIVPKb7TWxdb8N69KPXXYsuu/Ro4fNiPsQMBVhKLiRkcihKrH7jBVEbrTEORZWvokOi8XyefxS1Prc52nxMXzreNPORgzTkW+D99jR0AB9qg+ENhKH8HQjYnmXAsDIEZAZDsiFUajYY2Nj//2t789zZ98//33J4VjACCiarX85NHjf/lf/zw5Obm8ssgMQ6BofmUSSQ8pAhGA8ajLDdxhqOwo+MWCgYUL0624YL2jU88pUXqfOPqjZqyoeFfVb/Qi/k4wzd7WPB7/XEFFpy0GVOpkhkTEkRjDcrGy9W7zl18ev3jxan/vMJlJy0nNKHgmk7v34O5vfvPZ4uJiMzXZTglEtL/Amwoj16GcezFhX/6eNXakRf+9xDEMqfOGPNfmsx0TeWvQTnU6bQmds9lpzdCt9uJcNVJQHoPNLR3UnMGW3X1BzhvwvVmU+Qic/Gn3HAQi2D6MBCGCRWBZFhHNzc9/+Ye/PTw8/PmXh5VqCVAQinK5+uOPP01MTMzNzcwvLqITxYyBICDBmEDgtucsRkSEonmD3vzWdpKjVhK1I77COj792c5q2qJfWZMhsxOdB3vcWdvjNZpo1F6I65nIjXembmKMIUKlUvnjH//4b//2b4VCgTFGiEDEEJPJ5PT09MbGxkcffTQ/P2+RkL1/8NpoQq8hjmOX8AM9w8JNL5Ut0nTnO9g1Q4wzh1Yjre/oKmA9dUx7cdD7tEIfnG+cX33IKNdgM1sy8nyONtdLT0aCLMtKpVKra2v333vwwQcfVOuV/f39RsNCxNevXyPivQf3P/jgg4mpKd9YPNmpceeXUhZY5BuPkxn6J7uMBn1dIkYTRBQipDolIsYZAzw5OfnHf/zHP//5z8VyCbj8iiYDMZNJz8/P37t37/3335+YnBJhNhNkZM8scpL1ndrzE/w/m+EXVfUHBKp60RxdUJtIV28yjN3OvjCqescn/LWpO27k2zW0Zg6uDHP5pIhcvfpXebgQIpfL3bp16/0PP7h3754QIp/PywboxYsXhsE+/fTTuw/fN/0AAQAASURBVHfvZ3K5BEvIkTdElCETyM4q8tyMHIVs0Nqo0Wg0XWek+kbCO4TY4t6F8qfpLlFPtfUbaX3sKHDF9+7rLRF6wnu56xkHAguItrbeffXVVz/99FO5WkkkEvIQRJyZmdnYuH379s2VleVk0hAWkEBGwCjM25F6FltH0uzXUYdjhqhqNAiQgAGid30Q9RpC17fo64dtCubzTuulOARrsKhj25495rWFE/Zsw6+k49R9Y+3BUyuTApgyEY057j8REYEjIhEyxrLZ9PXrN3/9+W/u3buXSqUABGOQz+efP3/+048PHz9+fJrPJzjnnDeTJWAEjATzON0GobjZUu/OPXvzIgPPJ+SJtbvTgaJ1PmSOHVPEOyoqnTitDPP+FNF7Rq3RBDlP30nWxr6aVngNPLbOgiDBOAgUAt69efvVX/7y6NGjRqORSHBgBMA4TywtLdy9e+fWrTtzc3OJBBdk+urh8BqbWHACaVPmoxRB9Io4fHfhgaHPSNTc+TwjB1E5MDRXnyOvtm6b4iDCFkJFfHHOHoOIxtvT1jsSVEloVRrVynv2AUHO9QfftVyDyAEYojLBGQQJk8BKJPnE5OSdO3d+/etf37hxg3MuhzSOj49fPHv500+/PH36tFwsMtYcjOCAjEAgCARymxgnl/pmGmquiNZlRLcag8hFatEhROuJNBpNJD45jCMh8u8gQUTOWK1affry5bdff7P59u3p6SkAECIwFJYlhLh27dof/vCH27dvy2gevtn4jPnr5TjDZdj5d3QrtwU+i1iMtNUhYnUlKbFsB5NemSZdA5+r21I2kRJsGiBGHgiofJRNZM87s0fvGRKRPVuNmJyiBkBCiEbDmp2b+0//6T+dnZ398MMP0pGWYRhCiO+++258fDybzc7PzQOABRbYMxP9AdfU6wl9dh7p0wBnjL4ldCqNZoDxFRnGoFyqvH756uEPP2xubp6engJj0vWYZREA3L179+///u/X19dlE8OYz4oLjLlzigGa/wss23OLWmlMfMLGFnuq9wJRtqqu4pz68iuZ1t7lrwhs+rRmzlxyvHAd7JOJuS2CjJPg7kMAlmUJgNW1a//wf/xfR8fHP/30k2maRiKVSCRM0/zzn/+cSqWmpqZmpmcYa8Y+Q0Q5td+Nbuaey+4skecyNBqNprsMmZ1I9W7TmvizRrVBsbvo59k7WvvSiuO/I4Rmn1gZVHWnnvl3BiiXyz/9+PCbr746ODhoNBrMSCIgQ0ylUpPjE7dv3/zkk0+WVpYtIZhyGa69IBgLJiAPD7HcRPWSQufkh3aqIh0dBHzlxPdD0c5IFKyvOq27omLNRO0fP+WoK+yMsOfP3E32HDHVMxEgAQmfj6fwuWfhK5RhfySQ/WsE+b4Umw5jzJnUImePkWmauVxu497dBw8e3Lhxo1qp1Go12Rd/+fJ1IpH4+NNP7t+/m05n7cOcuMVBW6p9imakpDb4DJP+VSPxCXBxLydM2TlYOoJ5uPX6ONemXmGcPS9Or9Nv/YUfx39Hd2wBhCD8gaqkfyICwNPT/Lfffv3dtz8cHZ7UGo1kMgmIjDHDYHNzM3fv3v3w449mZmct0SxLiEggP755+CmVCt2t5zGsaIKbqO+alfU+oWtnvnLa0KqG907CxdB92qV8vjzWuhREtXGX1xt0jUSeleDYX2KlwUC2Ftim9We22FRxNQVkWRYJMTk5+eD99+6/9/7q6qoQomEKzrkprKdPn2YyuV//5rfXrl3jiQRnTFqamoYnlAIlgYiMmN2+AUAbI9HVPO3RQA9IaEYCXXHYDPiwv0bTW1SRs2skCnUTc1Y4/fH777/++utCocA5dyb84NTU1K1bt+7cubOytjqWG7OALJ/0o/MCeAkl1pmghG5MNM9ytDCkS1XKcFbR3t5rm0kZQYF9nNF4QQLR+5oIEFEoIiBfmhaQwZPr16/9/ve/v3v3LmPMshpEVCicvHnz5ueHP/3000+np6eGYQSFb04qXtNnAN3Q9JLhLCyjhj3FjDEIFCL5gk+Ojv/6179+++23pWolkUi4c7sW5ubv379/586dpcWVTCatGga87Ze7EoJlVK3nL3QXgQXwCpE8Kl0ADND2FKGH6BomFHJcRF/coY87i1ldGfVTTkCTLQ4Rcc5Tmczt27d/+/nv19fXQZAUH52cnLx+/fKnhz88efKkWi6709YAgBEIIeyoC+od6XlnGo2m9wyZnkhyvjHwqLEU7a/+8hnlpx0nv8UZCe9mvlWVRDbEBBCTXkURAYBzbDTEzs7eL788fv78+d7eHmMMOXc+0dnC3OKnf/PZxsa9sdyEBcBBqrSF7HQFOuz29cvAIQiIzmgehJqHVO8R3hW+5dbjwJFPILDsHtVhp/wc43tBPym+5fij/cGjgnQ150SsD9xS03DjRi7zpKM+ZIoxEy16H44IghBQoLDdP8hUiTggIi4vL//ud18cHR4+f/68Uq0SWY1GI5/Pf//99wsLCzMzc9NT0/alSue5wADAAkRbBsU4yQg4Al21FJLzTzs8N+pb0RWutkXrVMN7vhY5Km+3LiOdzpe5qNruShFhtUenz607uApNIhKODsbV67lwjvW6dXS4/+jRkxdPX+zs7yQSCWm3J0IAtrq6+qtf/ermzdvpdBIAAISdAgoINRCgvF/HduM4qI4qpuqTOnfZxID76tAWxJm23CrHOnVm/LLQuvWJsyaOgjUOquf4Xmle1HckW4SLGIl8R0rbnoyg2tyHlOfD0J7gzBCEPSuNiAwjeePGjd998fuDg4M3b96YNYvIqNfrx8fH33zzzfT09Ozs7MT4BGPMEcQBByQlkzT7Q/JKyPWWxILX6bv+3rQpw0EvvgG1nksz8Ix0xiWHq74QjWYwcAOFuKVG7eMKy/r+2+/+5Z/+197eHuecvFqb1dXVL7744s7GhhXoh6tlMKxIRmk3wnv0Xe8D6SriElAzkhI8Ju7QuppOcIBdTd838K7+tCzLNM25ublff/6b9z/4YGpqykgwREwkEkKIH777/h//x//cfPtOnVCgigKIUC0XbsoU5qNdo9GoqHrV4LxmWZSqlcpf//yXP/3rv9nhohCkZyJZSG/evvXFF3+7tr5umkKIeIEFAwHLLgFXXeL+9FYj7Tul8TVH/cpl21hDFEDnMxuR+4+dCHgbmuZrDUrVnCZmdWX9d1/8fuPe3VwuJ6OeJZPJarX817/++V/+5V8O9w/Am/ldbZ1sYoK9L4KA50iNRqPpBkNmJ4ofnYHJqATgH8wJpqB9nl8c5h07ahsPJX60muGjdcwR5rjhuODTU/dp80bcvhShANbU8jNqFiE58pvP5x//8tP3P3x7clwAYogo+/HZsdza2trt27dv3rw5NTVJREIoroUV7ME3hgAMgcuBZoTmkKnH6YL6Az0/0bdnAFL+2hLaHW+dfjvU99g6V8ePHxR8p1H7xE+t03g37cGWb4dcv0XKi/F/NakHqz6zQh1Xodd2QwDC8/Hpm6xhWVYilZmfn799+/Z777+/tLBMQsipAQcHR8+ePfvll19ev35ZrVZdrZyjSmjOHxEI0hgqhAAU7g7NqwzLdsHVF8tjUQxuzRksL+p6Fab8tS4LoStFvPyvXs/APdW2z7DTrR09Z7le+iHyfr07MQFDp5oeHx/++OP3Dx8+PD09ReROeCk+OTl548aNO3fuXr9xY2wsFzw8Jq63mtByF3zHcVqQ0NR8RurwA8P3Cc3/EFjTUS8rfklpnc/P0V700FTUuv48Z+0adoys9wERmMyTAE5zg4iMMUIkRGREYKGgbDa7vLy8sbFx//796elpGTPBsmhnZ+/Zk6c///zz1vZWo9EwDA4AgEJqXZmd1ZiaH7wxYYNX56+detOmDAdRebv1+oGr+TWxiPl1MAqMev4e5AEZjSaULrdb7jhVcHzM/TAmokLhbPPtuxcvXrx586ZUKgFnwGxL0Ozs7Ce/+vTeg/vZXA69IUaCfl6ao8qOB+muD5SNQO0/8H0XRLQdUTvz0SKH2dtV4R6lUkT4IXcrY8yyLMuyrt24+fd///cbGxsAIPvxRHR6evr111//x5/+/ejkhKHiPwWbziOcCSP+QQi7+IT6RNFcPQM6fWyYcXU3jDEhxGnh7N2bt8+ePHn9+nWtVpPO76Sj3+Xl5d/85je379xJJpOIIKd8BlPzK0r6r/uHXtqudxi43DvYLZTvBahPHx1feO4yBcKeWpZFRHfubnz5t3+3vr5OlnB1ZMfHx3/5y1++/utXpVLJPQIZ2SchT1OoZaoajabXDHBNHU2ccfXWDHYb1t/oZ3sROs3PwbHxTsdMPPsgMSRAAmQEKGz1ByPG4dWrV3/5y1/evn1brVYt0ZDXKftGc3Nzf/M3f7Nx924qlVKTa9lLFwAC0J1435kCyIdPgBLc1KXPhSglQqf6uOC7CI5cdaadjHsH3Tz2PPglYopWSECYnQibO7RK1vfFRcoaFMhI/hFYgALJEkIsLi7++tef3717d2xszDAMACAUxXLph+++/4//+Mvu7q7PfCnHe4kwJKwOgOur2x7+7bvv04Emjsoy6iiJKpeIQ+u6dLCIVfN7aydJi6cdM03pNcZTT6r6CAssKcfjDIDo8ePHX3/97c72XrVaNUmAVGkAcM5XV1c/++yzmzdvGoaBANh0Jx8oaY6+L8SQ5BH+KdekpNV9fUr36ahd6PTtB89yPpX3YJSgsP6G3bij69kOgDlvX63nVQzGmhE9GAkyGRo3btz4/PPPb1y/lcmmGNqjC/nTwjfffPPVV1/lj08CzZ0AbDaC3vqu35/kaHO+nptG0xcMfc2ia0/NqNFtPVFLdwlEhIBkiV9++vlf/uVfdnd3eSKBnBMCInLOs9nsysrKx598cvPmTUQUAsAZHRWCXEVScLDUdR9w8QAlQYR9igGlbT9jSOo9mR9CnWGpdDp5UC4z8Oc6eS4ZWWZmeu7e/fc27t5fXV3N5XIAYBiGaZqPHz/+6quv3r5+fXp6almWK4gLip5Cr7b1TBONZhC4jLrFV0xqtdo333zzr//6r0f5k0Q6BQyJEJEnEomxsbFr1659/PHHq6srRGRaBO0qjVAjEYTd2KDVpBf5BO3IyqMBCHQhQntKbhPmVv4yftniwvKHH3545+7G/Py8HELjnFcqlR9//PGbb7559+5duVwRQqiHeztjA5UxNRrNYDKUFY2vtQsfM1Eq3Dij/Zru0um4U9TfKBDnWcV5Guqo+znztnQnQcDcjgsAmI3Gztb2ixcvXr94WTg7cztDRJjLjW9sbNy9e3dufsYwGDG0ABgBU1TZEC2fRnvA+fwGnRaeJsJvMMLoEKJm8vwIPv+oXNrpkw+ORKkJxnnv3SopV1biZH5iEGlhCTosivJV5GgW7HuRw7+KrYgzNIAYEOOc53K5jY2Nz37965XlRcusW1ZDCLNar+3t7X3/7Tc//fh9tVo1uNG0bAb8bQVo9Qyduxi1+i0+59M+9MKLRKiPmIF+a1F3FLUVWj7PuM9BVQ+5ZyEiIEYCGTGGBgmsN6yt7e3nz5+/fP3qrFSUM5rlnlNTUw8ePLhz587k1BSTSXk8gsnAC0q4KGJA/ivHMG0rBv7a3Is36maYC7UuEt+70MXTj3Qv1VUuo+BQxF8U3veu9p2aJSKYN9R2ioEtX3XHPBA4CUTERMIYn5x48ODBZ599NjMz02jUhDDJEtVyZXtz66uvvvrl0U+WaBjcAO9cM2pKUvUXysDRi9Kq6T59ow+9eoa+lmlzg3p+r0YTk+B8GsYQAfZ2dh89evTu9Zt8Pl+v16XvagAggOnp6V/96lfvvfeeb8aZi+/LXy2Pqm8ajcKI9jC6lRN8mUq18qi7maZpmuaNWzf/7u/+TkrhpJeiRCJRqVT+8pe//Mef/r1QOFGOCLwU5XM0tKHRrY+mn2hr0b68kTO3kDKGRLS1tfX48eN3796dnJw0Gg17J+QIfHFx8de//vWdjQ2p7LP1Gk46HVUauqWJRkQsjyhtbX+hTQwAyNh8iMgYM00LAO7ev/fFl39YXV0FJ9snEolCofCnf/vj13/9qlwuuymo6Wg3dxqN5nIYSjtRLH2QMk0Ah/Q5DC6t/ba0HvlU1wzNF3VH84yCo15dUBI1LwXBAkLgQIwhJBL87dvNf//3P797904IIex4NRyZYXA+MzPz0Ucf3bt3L5lIg+3DJdz0Q0RElu+thc0OuKi2SP1rPa4YXI8gmt407EuJ81Q7zY2t1XMXUSQNBr0YgXeMMgyRC0BgTlQa6W9LfpRyQKZE4kOxuLj4wUcf37x1a2pqKplMS4ekpVLpl58efffddzs7Ow2zJqcGAAoA4Srp7NNJ8QIxRzcRbIOi3u/gvbWr5nxPLM7TDtal50un32grzo15R+dvZxUHdO4aJr0L2T0zBIPzZ0+f/vsf/2N3e8/dnzHGGSSSfGlp6eOPP7558ybn3HFlxxgxAGC2vsi+BzuSmi/+oEP8OieqDepUc3SxXTt9L3HyMAQyQ3BZTbC7XEbB8fu/66xHwQBY2EsJ77H4ei9qsyJzoGVZDI3r169//PHH167fnBgfTxiGAELOCoWzH354+OOPPx4cHFjCspxeEwfiQI4iWwncabvqCr8qzdUxWC2CBkBHOgsw6jlYe4sYfIbMJNQVel6uhbCftmmar169+vrrr3d2doAzzu3Pb8MwxsbGZPDXpaWFRCJhWZ6AUKHJerpZVz2+273TX3JfYdRr9VAQ0c207poWPy3RIKKxiYn19fWNjXu3b9+emJiQ472NRmNnd+fp0+cvnj3f29uzLMvO9igQ3TA0TIek0QwOoTNkY3KhCifYAfMVnHq9/vjx42+/+ebo6MgwDOR2XPBkMjk9Pb2+vr6xsTE9PYWIbhMD9iRQT4LOzJ+LXOxg0Wm7o3tQMWjXLYgyFTn6uKbqTbYm01MzN2/evHXr1traWiaTkSur1eq7d2+ePXv24tnzg4MDIQRj6mT/Zml1ion+ttVoND1h6L8oIs0HqoOViK68Nj30D1FzeqNkRMFxs9F5m+otuwuhyyxs56g07T05IAeUMYkr1frm5vabN6+2tzdPKyVgtp8HqyGymcyDBw8ePLg3MTlJ4PiMUP6c2FJ28HPf+aJUfhfpDanH2pHaAqOLPgL+KaJ0Wyqd6rai3o4kfjpxBv9jvu4W6fcvkW/TefGMMUQCcHIdgmjmCIFIqltre4KAwGQy+eDBgy++/MPS0kKjUZOzzwjg5OTkr3/964/f/1Cv1xl6cgUKQkEyIo4ragiiTUgdElWH965ujyrdwzE4EaXblYTeaZSo5GKmIgIQJDV3slvGkAyOBFCu1F6/efP27dudnZ1arSabGEFoCZgYn3r/vQ/v3tnI5XKIMna4czUMZRMj/wCAiASQlP6xQE3vxi6Mry4J6lJb73lZBHVDF9e6nk/B2r/tRWvvUW37GIGtgd6pLe5RdEYEIMidPoaIMmIsoACkdDbz4Ycffv7551NTU/V6XQhBKAhhf3fvz3/+90ePHhER54gg3OicvsE2r58v9ao0fYivfzjo7YhmyNH1CED3PF9orgidjV06NQSIiOU2IAIiHh0dPXr06N27d8VisdFoEID8wAaA8bHJDz744L333stkMhD4JG4t5egXzmmUCvbPWuv8r4RRKjLRH2qKcyIun4lvBNg0TcukG7du/va3v11fXzcMw3UhUSqVvv36u++++6FYLHpTFQCCmkRfV39me40mnKi5aRfF3zowAtuqi7u7u48ePdra3CmWSvVGAxQb7szMzMcff3zn7gbncrTPsg9HJBBEFLzgoIs9+5Cr1q5qBoX4PYJQ34vqDAa5bJomY+zeg/u/+fzz+YUFjkw2MclkMp/P/+UvX/3888+VSgWc3Ou0KpabphKQR6PRaLqMcdUX0C2iqkjm2+r6R0QnxmS0EHmUPqUGA//bdIZxoHP7yGDB2t1XazMECyyrW1scHn0+BEDY3dn56i9/ffPmHREyBkAWIAcAzvnExMT7779//8H7qVTK96lMiIKISymf05VC9ITwQHRVOV0DI5btq2pzdPDpBdfHfwuhO7Q4tjXxn1KnpeNqSlPU28HAcnCf4HJYygKkJxSpK7JnizHpHRSZBY59xxINZLS0uFJ/r37z5s3Z2dlC4cyyLNtL0eNHa9fWDw4OlpYWZMsi34T8UgUwiDwXSqgoF0juGZWjJLoNUrmqpxFV9kPr0tCt/UxUvdQ6Z6pruvQcpN93FEQECATAGL5+/fqvf/5qZ2fHa8AlznBufuaDD9+7ffs2TxgERAxtv0Nk2WJRYN5vdbmZB67PjroAYfVGxwakqOqp09Qid43KjerWixMnV7Q+V9utfVFAQkXETey3KQCA4mp1AchC91C7nyOACAlJEKBnHoOctnz9+vVisbi6uv5o7HGtVrNIIOJx/uTnn3++/96Dk/zR5OQkOvE0Ebj8hgEAIOb422JSHqvI5frlIWu8+L5W9DvqL/SggY+Ry6B6CHfoiK/d0KhctENJBLvbOw8fPtzd3ZVjvISAiJzzqcnJ5eXl69evz83NJBIJIch74BBEMeuiAeWCSZ0jt+sy0gTd3rb9W3jDyhAApDKpxcXFW3du37lzZ2xsTE49q9Vqx8f5t2/fvn79UnUh4Y4bt/VPNPilQKPpPm65aDTMd2/f/vTw4dHhIWMMue2iJZVMzs3Nra6u3rhxY3JynHNuWZbywRz7RIChSiI9D0TTdYIxyyRExBgby42trq7evn17fX09nU5LV3rVan1vb+/Nm1dv3rw5Pj42hXD9PwKAEKIZLUGj0Wh6w9DUL3G+fNRZ08JxSEH6q6k/aO17IuhVJ+hbIc7fIBL1ZIL31dq7jTqLvrWbpyZOfBllpj0CIgqgs7PT3d3dt2/f5vN5AQQMAcA0zVQqc/v27fv3709OToK0zROpcW0YALb4eCZggAw4AgvO/OqFrwcM/IWdzPec1ZUsLJeqtM57F8mZoQcGX26oR6qo8/bNV1KH8/4w4mdYXJtAqUHH9YPHkzq3pwmQYIzdu3fv15//ZmZmxjRNO8YZiEKh8OP3Pzx9+tQ0TXQ68aTE7wszBsXxBjK49VV3iZMbu/WsotqLqLYmzrH9z/l8ovl7UxevN+xokoKQ7E/fs9PTnZ2dd+/eFIunjpN4JgTksuP37j7YuHs3l8sBAAN0pXyAIuirRaAQjgmJUBAKBsgAMVBLqPfWqa+isB+943L8ZEWVgjgtXdtWr8Wxl0Gs5sV+m81rC77eYDqIHNEjW5NR/GQAP3dkgogYIJIUK1EymXzvg/c/+dXHYxO5hmUKIMaAMXa4f/DDt9+9efOGiDjjrlWICJuBNcMZoFpoNBmslmK00J7hXXQe1Wg0nYEIpVJpa2trZ2cnn89Xq1UhTAAhAIgok0pv3L37/gcPcmNjzhH+r+UOlBR9J7mImnxx+fSo9u6bRqE3X1xeuZAVtouwd0PhupBAxNu3b3/66afz8/NSK4SIhmGcnp7+8MMPz549M03Tp01Q5jh3/y40mqujm1VE0HUdY4whnp4W3717t7Ozc3p6WjcbjvtfJKKxsbH333//7t27yVTKl4LW6Gl6RBebI7+IFcA0zUQi8d5773366acTU5NynIExxjk/Ojr67rvv3rx65eZzn2RVXanRaDTdZej9E8V309s3X0cjh34vKq1nLEd5DWid/6OOilofDhIDAMYAAI4Pj37++ed3794BADPsoTOOWLfMVDpx7/7Ge++/n8vliECABUx2aAQDDo5PIgYop9O3mkPv9MvUOGVw7u7ahQ6WtNBhsbDaplu5t6N0WGDBJaanlb4b5orz0oJha9QFJwUGAIjgurklIhl3D4gI5VaOaEv6pW7IsizG2PXrN0ulyuLiYjKZtEgQAAIWCoWffvrl3oP3Go0GAVmEiMjtZEEIwRmXXoqaZiOSRij9QRuHOPnwfGVN+4aIIk4bFLU+vtFc7qkIcZQCjEi7Ozs//fjwYO8QOUOBTvERRFZuPPvg/fv37t1LJpOCZCCp5ie0LF+OpEgAALN9gSEAoOqfSBZM5Zq6WyY9NU8XWp8g8b3mdebnThrQfaKY0D3D1sQvWRcfYonjrSl868VfhbfFaX/XMpO6fosYYwSWdHtkWVYymbx79+7x8fHU1AwgIAmpPjo8PP7hh4effPIrIhIAAgUjBs47ImI+g5FGo9F0Ed1J0mg0HXN8fPzw4cN3794JIRCJEIiQMTYxMbGwsHDt2rXl5eVkMql4JnKnrXlm6buhyFucq/96QHEU+KH0x3yuAaGnul9PKDKvf4egPMEOQJNILi4uXrt2bWVlJZVKSRcSlUpla2tr693m4eGhaZoQUDREDfnqnr1mkOnVXCciAgJE3N/f/+mnX3b39gBsSR4RGYYxNTW1vLy8trY2OzttGIYQ1LYFaYuul0O53Dqq719CLxskIuKcSy9F6+vrC3NznHPZxBSLxe3Nra2trZOjI0tI+10zYlpUar26UI1GM2IMpZ0o6CmgtccBSa9nemuiGESfDr0jyvOFRPjkHhTIsQSC2vujicr/rZCeHeRyPp9//Pjx9va2RYIQhBBCiISRWltbu3v37uzsLGeACLKjQ0SETIo1XOe+Ukzk7dCo9xWY8x/iZaZDlIMv1uVz34JvpbpVXRaBlSqt33gvykXoJYWuCb3gHl2Dn6h33Xp90OeI/HPeuH1SRNdEiW79w6AZ/VL1qOUuc87v3Ln7/vvvj42NCcsCAMuiSqW2v7//8uXLo4M9AME5ukYo1a01Qzt9QiA9QeY8nM//VxS6xWlNVAn1t0Fegq15Mx1vrWt7AXI9C9l+hRjJAnxwcPDLo0d7e3tS00eEJolUKnXr9o2NO3empPM7RkAWgSWlFipq+Q3xL0PgxESzN/fO813Yj3NzjqpYfV+t35qfiDqqdz3kc6Tc1gsS61qvXnmD7XzehSOACMFufRj53a4TA4BMKn3/7r2Ne/dTmawpLEIwTVEqVQ729l+9eFk4ObGFSGR7VhUIJjkTpWUyZOmvGI3mglySo7lBQPeTNBpNXGRfxDTNg4OD7e3tfD4vO/ECQFggw7vev39/ampK3b+NXGiwx77ON9slZsq6fr4EmNLDDrdaSnOSJSzDMG7fufP+hx+Mj4+r+5+cnDx79mxnZ0c6lQAA+S84piKSMgmNRhODcrm6u7u7vb19dnYmi40FZFmUSqVu3bp11/FgbRthz1GwBvIjIGrmuGYwCPXS6LYUACAEZDKZ+/fv379/P5VKgdO+WJa1v7v39OnTvb098JiEaMC7TxqNpt8ZymYmGAmi9dh1cLxFq4o0V0WcvNfMz8qAqP2HwDBs5DBaQdPKHiHHeOWfjBFTrda3t3d3d/dPT4u1Rl3aiRiAEMIwjGvXb967/15ubIwACAQy+5ze0V3PuTmiuxUBHS8SzqjvxVDvOuoJtNMWBd+IW0uoP2OO0/pG2iP3jOr/XaBreO46rXfNRDdtYaT8qZ+BwTWRKSAQNh3mSs2Ru9WyLM75rds3Hjx44NqJGANmYOHs9Mmjx1tbO0IAAAoEgbafUQJL+sN200FiQChAd/A7pVu5RbfvktbP4Xx1WhMCRl41t1MGpbZI6l6bSiBHecfL5fLm5ub+/n6xdNowa3LWJyMg00omkxt37t3Z2Eil0+6J7O9tsGNlAkNfvDMnsq08N8k/txbtJ5NRHKWnhAUWfFtb6IXjKrgj2poLKvFbqGW72NB0v4xH9ROi8w9THDwJAIEk/1jzDzg5nTgCy7TqiVTy7v179+7dy2azQACCGOfcMI5Ojh89erS3ewDAiIEFxEhw6Y/L/46i3qyu9zQaTccMpZ1Io9H4uXhvWHbHi8Xiy5cvt7a2arWaEEIQycllnPOxsbFr19Zu3LiWzWaF8Ey6aZFgm4u+Ynrar2pWv8HueOjDucDgoe4gRiI/RIPaN98rsCzLMIylpaX169enJmcAuCsdKhQKT58+3drcQeH7RAX5GaBHfTWaILLtkMgJNYiYz+dfvHixu7tbr9dNyyIiORqRTCYnJyfX1tbW1taSyaQlLNc3fFt8sQgRBsuRfOjsv0uiXd117o+IoLVxqGjRlPix/VKT9Ga9vr5+48YNORThNkyHh4ePnjze39+HQLeICEloV9YajaYnDE28M3d4P+g3JGolRLdMw9ZiaQaHbua9sBArMn0RWI7Lab7w9PGzzc1Ny7KQGQBgETHGcunMzPT04uLi3PwMAzuUOENmj9yi/0qQpOkKQwfputXlwQ6XvcR/Mp322oPSIUEUEl8m1NDmOlcObgq7KhY8Y2CfyyeYD7uJmvMxsAYiniEDtOeHERBzlgGkLy0UAhGymbHFucW5+ZmJybFapW5ZFgAVCoVnz15sb29LV9bSxYpAICILAAkNbDrolZYkpIH6UNWMKHHKaXNrsNxFpYnyKIZEDL210NHRyePHj3d3d4Uzi9MCSjDI5cYWFhaWlpYmJ8Zs4xHYcdCCYlXyOn9xZ32ywHX1JBBZxwRbZJ/aNNaxjuGMqTWbYkEgZY2aPoWm1tzcxh53DotPr/vY7fNqp7TOIdG5yD2jjKnpqNiQAAhRRi0DICaDbCLnk9PTC/NLU5MzqVQGAIAaCHB0dPL82UvprosBZwTCfuFO+0VM9qWcqGptuwcajUbTnmEyiLT+HPKhR9c1I0aXonWcnhafPXu2ublpmqb0pygjnc3NzV1fvzYzPemO3DYds3ROX/ZueurXOWTYVo8QXg7kaOKi4pGphiQEyGRTKysrMqKfZVkAUK+Z+ZPTw/2jg8M902pGPUNERC7HeyHQa9fvVzPahPfWjo+Pnzx5Yn8SM2YByUhni4uLa2trExMTAODGAh/VL+GrmUPUmyprmD5DIlHCJnhWut6sZWfJYIwDjk/k1tbWFhcXOefymVer1aPDw/39/cPDw0bDsqdGe6Ml2OlIf/AajUbTDYaygg6dPx9Em4o0fUjr2f4s4k89trms+oPwTjwL+gho5a1A9S50ks+/fPVqb2fXsuywGkIIA42VlZWNjY3x8XGfZEPtGKk9GELpN6Lp/wgppsznnFw4xlmLny2Oar9nqLdvGbXE7Q6eK6R6MG/E8dd2mXTTPxEG/qLPGMjzDIV3ABYJQNhrpN8TJ0GR4Ma1tfWb12+kkwkiC4gJy6pWqwcHB+/evcsfHxIj4M3XREQWkJxcAN7SpB2RXgXdzHWDT7D+D9Ybrkc2n98c//6dzG52TuET/hAcHR29evnmYP8I7PIohBCJRGJ1df3WzZvZTEbuZu+vtiBtbEbt3vtVFsSoFrm1lyi/b001YrpvOWikUFBbBP+79h6I0dVVaN5ocS7f7fSaqNx7HqLisbbFfZjuKBpK51sowO0JAKSTqVs3r6+vrnCOlmXJkLLVanV/f3/z7evTszzjntxuAZkkSLYtTnFQBKvdvHeNRjNS6N6SRjMc9LbtR0TLskqlyuHh4eHh4dnZmatFlwuLi4u37tyWg73uMFecixahU6hst9bDjGojQORy0pkqwgp261WLkrYvdIsWT1VOe1Fd3gohEgl+7dq1a9euJZNJNwkAKBQKL1++PDw8hMC7IyKhh3k1fc1Vfj3aIQUtK58vHB4eHhwclMpnbk0ohMk5X1tbuXXrVjabBcdOdO46cJQrT+feu9v5P0fmGSFrRQf5TZAQZiaTunHj2ur6mmE0fYMQ0eHR/suXLwuFgnTmJdcr4c+8J9URNjUazYUZGjvR+aItXJlrQI0mgih9EIBn0M9Zbw9sqUO7wXQYADuHmgadSGSyE99oWK6RqNaoE1lyHAwFcc4XFhevXb+ezY0LAgEkR7RE2DktJ8INAXFAJk/kMwph8/+9iEfTydNoEZ8ldJ84653LiBYKIfLQY5tzoBgLGpKiaa8a63zPfkd9y61zEQNE8hp3GAJDEgjEnMhlIIgsizhPLK8urV1bTaRsOxFjjHHIF45fvHhxcHAEwBCbT0+dHWDHWvJeyih/tXaCHgnvOkFpYVs1a6u30LpeDVFhuJEuERGxWq3u7+4dHRyXS2eNRoOIkJE8azKZXFlZWVtfT2WSRCSE6ZtfoyoBkUDGk2LAGciKlMl4ne7eITVDn5pxg9Kbtu1RJESk3KdfuITIHcGLrU4KzJOK8qoWpTiLeYUDVq6DrUl0zld1XopKK2JvIsuyrEw6ef3G+urqsm0nEiSb++PDo5cvXx4dHZHzZpyUm8/ZlikRILkdjOBb0HWpRqOJxcB/CYQRpwYMmop0panpW+LbQLuJonZBAKhWq1tbW7u7uw2zBlLw78heksnk3Nzc6upqLpcTgtQoNm4Kqgze/dcd8hqdsS/pDcfnZ9Q1FITOQVOV6pd8taMOCmVeDAMAy7ISiYTUE6VSKVCcvB4dHT19+nRvb88zT0P91qJmV/7ybkGj6YALNSIXtOmXSqXNze2DgwPLslzXLVI6kUqlFhcXl5YXUqmUbF9Cq0rPxagBp/rVCNSO88zP8lUvpOCsQ3XPdrPSLojuWneGZVmpTPr69esra6tGMiFXSvXQ3t7e48ePT05OgnpVW7LqbVh6+Vo1Gs1IMDTxzuIgm1jhLLCwBqxX8Xc0mk5Qc2DQDYSSbzG4P4A/+oYAAPQcG1xuT7Vaffd2a39vz7Isdz4OYyyVTkyM56ZnJqemJxhgo9EA1qoHbwuI7LFgArCHhUkJqtKLGDTndX4kIpZbE/VUGQA5d+mJaOMGLgl9bogxA99Gvd/R6qyr+ScqLzmRZhgiCqeDTc4BSE3jJaEdqwaRCWEmEnx+fn5paWl8fBxkXgdApELh5OWL1/t7h6YpEgYnJ1oTou3UAxGIGKBwBnlRz0Q7L8G6K35tplt5l7A2xb9D6Jrz1CdqZrdLFpEMhiBXlkqld+/eHR0duc6GiAiBp1PJqcnJmenpsdwYADTMBqL9TSyE8H8zowAABhycliUY46w/CD7D1nkyamun78Ljob+l0yJ//M2w87bOD+pArHr9vns5d2GMU5ZDe1NdJjqHqVco/7X7PAhIngh0AABESCSSifTi0srS0komkwH7NQkAcXR09OrVq6PDEyJUg/yRfSZCZq+2o2p29R41Gs0IMuJdpRG/fY2mPW4PplZtbG1t7e3tNRoNqT63iBBxamJydXV1YmLigmO2IzLwFRy8jT/oNyKP6HJQ3Dq0MMAJ2yQqmv5HGWOpZGpycnp2djaXy3Fuf00Vi8Xt7e2Dg4NyuUiKCkzKx4iaLmCDcwa1wkjTB8SfxxSxZ4fTm52ImfYx5XL57du3+wcHQgh0NjHGZmZmlpeXc7mc3E01mreuEhEQwR8HYOjwv4igHNWHuj4q0W63NbqzDRDQaENYzU+EPGHkcrmpqanZ2dlUKuXufHZ2trO1fXh4WC6XiQhltAUlBeHEXlAnOw915tdoNL1lyOruOG41Wo9jDINXDs1wEfQX08KHkY2q/289cz4sHXvZ5025Wq1ub2/LTrzs36NABD49Pe2GK1Zp0Tuxv5qR3EhnfTPkGx7HJx7B59kqNUc9ZPshatsvj9dx75YHpW75L7g8PwgXiWfn+DRpekux16Mdlpg1R9YZIkdg2XRmaWlpbm6GcS6IEHmjYZ2d5o+OD46PD6vVCiLJP/cJWEBC9dXeyktRMP9oVIL5VrfdnRLf003srOiZp9lyR+kVHkiNU1Yul7d3do6Pj4UQyAgALCLG2Ozs7Orqcjabbh4eGiPSE09TULwr6Sdal/oWYcJ8noYuiuOiqPV1Rl2V7wp9l3S15fQCTymigYnf7hACMHT/beZ8YtILntwNERlwjsZ4bmJxfml6etr1GFWvm6enxaOjo5PDo1qtxhhDQUSWXe6EElrEidep0Wg0F2FY+1XnuK9hfRQazflR54JVqqXt7e39/X3LsmQnXm6dmZmRdiKfjyF3uFKrYKJQn0yYF4muo2u59vheCjjyHze+jFyZSqWWl5eXlpYMwxCW5W46Pjx69+ZNPp+XhygTCkhdDnXxrtH0N923vKjV3dnZ2db2u6PjAwGWnGlDRJzz+fn5tbU1V0/kI0oXI+f1yKk9A9gGtTfMSZWi+lNZ32xKKIB8IJerNBn8pufCATVCn7bbRwpm0Ww2vb6+Oj8/j4imaZIz0fLw4ODNmzfFYpExxjlHZQqa7aYo3qk1Go2mLYNfd9sEoy2cLxGNZqAg5jrHjSY02kWLfcJH24rF4vHJYbF0Kl1CCMdOND09vb6+PjE2jtJQxDzdFEcoJAQ2B0ud+FGR9CLGWSfEUXNEjUwGn2R7LY9PS0Jknbc2U6889LwtcstVjfR2RzXTjTzDAJijSmAALGgzkkPBQpjJpLG2trK8vGgkGKAgAGQMkefzp69fvz7N5xljrmnJeae+K0Yn/Jkg9LtZca/novc0PHTraein2prL02q58TQBgIhOT0+Pj49LpZIzPsGIkDE2Pz+/tnYtlxuHQPDvqDQdRHNizkUEh1dMnFYmnG4bCKJalqimMLiPms7FiZMzeyvMbNfuNK/Qjqqp/imzz9Q3hUhCmNlMan19fX5+Hrk73sBI4P7+/pvXr4uFIkNGbndLSJE2AYCwgICR98loU5FGozkHw9pbGji9sUZzybQvI+68M9M08/n8wcFBrVazLEvtcDDGZmbmrl27Nj4+TkSCfLPlBYSFgFVlSuq5rporqzf8ziMuacbEsNb/3STUgzgRJZPJ1dXVpaWlRCLh7gkAx8fHL1++9IWk8bkFAQCLyKTmWx7YeEwazYWQRaPRaOzv7x8fH9dqNTdcJiLKOc7z8/PXrl3LZrNEbexEHsOuYhbqj/alI9qbNoJ+7tT1ocgdVFVRty+bBRaGhIubGd23oCq/1PXubkIIy7Iymcza2sr84oI73sAZF0IcHRxKPRGFqLb90lfXAjWAkjqNRnP1DGW8s6gICzrKiWboaNP0i/a7tEjb6ViY9cbB3v7B3n69WhPCJOIAwBEtFJzzqenppeXV3PiYAALydEeUZcYU81Gwy+I3G8mV573yDomKOyOUf6PqjaitQQFX65rHmw4xwNZnbHGuttcWPKoj2VFHxEmn+3VyvNh2LNDzF3YwGiJAcr8zZc9eRkBDRCCwLCuZMlZXlpZXFg2DgTKqfHx8/Orlm+OjPCJK64+btxkBCiJGiKhGEkLyu7XWaPqPnpRlmfOr1er+/uHh4bHZsOs3QmQEBrJEks/OTS8szacySREU5REDQNWwTijLI/mux40t1WM6jcSntjXB9RCx9SLR/QTYfvHOQetWI7i+H3rd3Tl7nKxD7m7OkjMqINTZYehE2JRtijT2qE2RnJicHcusX1udn5917T7IiMDaPzx49erV6ekpB5BuiBxVkQBAgQwAmHQxKY8iaZBSzYJ6KF2j0cRiiI0muh7UaC6K7FjU6/Xd3d29vb16va5MpQHDMJIpY3JycmZmJpVMxfR30JdKIuilNL2zZHszzKsJobW9MvQtyExuWVY6nV5bv76yvCb1RORE+JZ6ouPj4xZn9E4x8K/RaEYH104kYwVaooGO6xxENAwjk8lMTU1NTk4mEonQJkZdEyWT6ctKlUUbiXqFT7qi6Tqh9bjvgQflXepu0kgk9UTr6+tLS0sypKbM20S0u7v76tWrfD4f85L0G9doNOdmiO1ElzfHXqPpVy6U521BBEGjYe3u7u/ubjcaNTtMOBEAZDKZuZnZ8YlcOpNEABCk+oaQdhc1Bg20+zK/UlwfZ6Hrg7S2K/UuXhUL/EVt1QC0my8Qmv38Yn6vFzA5L4CzxPT07MzcvHSb4u5cLBZ3d/ePj48rlYq7EgWhJ/qM8HpRARgNU1HwrqMYYGcymg4QAAIIapXq7vbO4f5Bo9GQdSYDABRj49m5mdmJsfFUIskgZAaojPTkMxXZW6Saz5FRqDmql/7vWte9LVoEEfjZNvJmnLhjV9sTbu+bbzgJy16E4IYvkDWhjH2mtjKyvyTtoclEemF+aXZ6LpvOoDwEiYiKp2d7uweFQqFuCYEA3PMkGQHTVadGo+kSQ11TazSabqDqicCJ542Ik+MTq6urk5OTUZ+4LOCgUe3EN//6xVTULWLZhnxRaTRXjuotInQHVfvDOU+n0+Njk1NTU6l0mnMux3vr9frZ2dnJycnJSaHeqKtDx65KItjyBj12aTSjQ61W29ra2t/fN826PVXHshhj09PTq6urY2NjbStJtSKVCwQ0CG6/1NnNKhe1pFAYF0lQc0GCz1/1SeTs1HQtlEgkcrnc5OTk5ORkwkg46616wzw7Ozs+Pj45OWk0zMu4dI1GM6oMpZ0oGAli2McuNJpWBBUosUsEAiA0Go29vb29g/26aU8KkGNfE2Pjy4tLk+MTjDE7soyiHpIncBQEzUhncisJE8hSx3Uva7y3NT7/Cy1iuLQY4/Xt7yqVfJvUuwzWWm5q59YljXq915EmpakhImBe2yWCQG/eRqdnP5bLLM4vTE9OAYAQglAAQKNWPzk52dvbK5fLMm6xkEkgCAQZtziosxuFrzjfXbfgqiMeai4DRA7AAKFcrW3v7hweH8lgmkCMkCPw6anZ5eXl8fFxQL8QLUyaSr7aUuaiPtamtVUMRdGZSsgJoKm5DFrnN7cODE5Gc/ZgQsrpkDNmjI/n5udnxyZyhMKyLJl+tV47OD7a39+t1SoJjhwJHddd9mhHbOWmRqPRtGCkvyI0Gk0L3I6LDEZzcHBgmiYiSv0/Y2xiYmJlZWViYiJ4oDpQFhw0c9UTA/JtfI4YLu39dzbFVFpIcqX4Z5l517uonrnIybrpdHp5eXl+fp4xJoQ9/wUZHR8fb719VyqV5Cv253PyZwytJ9KMIG65qFQqu7u7x8fHpmmiM4+GMTY5Obm8vJzNZn1lI2r+sl1UsTk5uo9pbbi5qJU/2ArrGuaqkCYbz9hD4F0w1oxmwJQdcrnc6urq7OysIgoTRNbh4eHW1la9Wg0qsvs+52s0moFB24k0Gk0bisVioVAolUpyOAsA5GfzxMTE8vLyxMQEiPaadrcrI4AhcqLm7JurHu9treVpvX/UnsGqNUpVFE4vn8mo64ziELRjkpAyBxBA4MSXSaUSy8uLs7PTjAGRJQ1AQoiTk5Otra2zsxJ4PwmISKAQ6M8D+hNOM4I4CiAoFk/Pzs7K5bKzQSASY2xmenplaTmXyRIRCSWombe58dl5CQiAuSG9rlqbFmxf4vgeap1OHM9EnmMpppBP0yWUlsNW90ilqr1OVVaiQGZPSWaICAKEhQREFpE1lsutra5OT08jcuEUAWFZxweHu1u7lXKNyDMCZwERQwH6hWs0mi6gvxY0Gk0klmVVq9V8Pl8ul+v1upQRyU2Mw8TU5Mra6sTEhOvYpUVSbs9eHq+Ong0RXdD2ex1J6Cr6UrE9mwR8eWAAASSESKfTS0tLc3NzSuhiRkTSTlQsFsEWjjWtTkgBNVHgAjSaUQARLcsqlUqFQqFSKZlm3W1KhBCc8+np6eXl5VwuFyySbmizKDFFvzonurz5X8En5j5GXc9cAt6oliEK6+aezdchwOlKCSGEENlsdmVlZXp6WhW0WpZ1dHS0vb1dLpeD3ajQ996F+9FoNKOHcdUX0F1YxLJGozkPQpiFwsnJyVG9XgXZ4UBgnAGZAJAbH5ufnx0fzwEIITgAs6fEK9PvSfZ77PV2F5k5Q7z2OPBl31YoaohitfYQEctB1AHeC4WZAxBe10Wa83COfIWIhACI4HyvEpHzCppdbfkRK+1EyyuLc3NzzOBSwoAoCOD09HRnZ6d8VuS2ugEAgAOCIGS2eyNZmsA76WwYjacaTSSmaRZO8oWTvGma9get6+GOscnJyYWlxUwuK4QAhoxQSoXIiRFuB0Fj0rMYA1s95AqLAJx6oD/KVfw2Ik6706ZpUGUmvpW6nukF6jOlwFoEJCLZF2q6YkQEQSQIOZEQwBAIiOQoGhNCZHO5peXl6elpYAQIhMA4F0RHRyc7O3tuVE1E24OXKyMKbVb0BGeNRtMR+gtEo9FE0mg0jo+Pj46OGo2GOw4muxqc87Gx7Oz8XDabjTNE2fQBTMM9mHnx4WLtcPTqCfWrpW4iIiFEKpWSeiLOOQAQWdL+k8/nd3d3y+WyE3RJyERYWB9dd9w1I0uj0Tg4ODg5ORHCVH1VM8YMwxgfH5+dnU2lUjJYOHjNHMF/YWBK06X2vVUh5GWeV+PD56LIk2mFJ3vL9kXqiZZXFqdmplF6NHS2Hh8f7+7uSjtRaIJRyz2/SY1GM0QMmZ5Io9F0EzmD5vDwsF6vAzApX0YkwzCy2ezY2Fgul0Pk8tsYmhoiAEdDZJuH7O9j98dAdFaiFEZRxFQbha7XJvsrhQClRQdRyn+QbCEQIgIJ6VCiqQ0ihoBCiGQyOb+wMD07I+1EALZP0dNCYW93t3h2ppxDADACkF5KgbQ1UKOBRr1+dHR0fHxcr5vSd49UFRmGkcvlsrlcJpNhjFkNCxGBIQWUOIgIKFyJhnTXQmBri/qVqDCaoQTrik7bIxaxRnMFSNGcO1pGaGdeJABgSEKAdFaNAJTJZJaWlqampqQtCQk4YyRE/vhkf9fRE8lmR7YutiCPAdgK7qEeltNoNL1FNxUajSYSy7Ly+fzR0VGtVlN7G8lkcnx8PJfLJZNJuQa9AaFaMCBGoq6gbQGDh2/IV11WJXXy32QyOTs7Pzk5mUgkAGyPpABQKpWOjo7OikVhAYFH6t/0nzJCBUGjCcdsCGknajQa9ipBAJBNpycmx3LZtGHI4cxh8r4/NDeiOQ8hCjjWjInp+t2Sy+l0enZmfmJiwikItp6oWCweHx+XSiUiUF1ZhzYr2lSk0WjOh9YTaTSaSISAo6OTg6PjumlPqCEAAJ5JJWenp8ay4+j1ySvVQx4vReQughuApo+J6sG3HoltsVVErLeh8MhoNtqQcEkoPok8CHusFxEFECCSIAJAzoCAiDjnPGGMjU3ksuNSxgAEgIKIypXK6WmxWCxnx7MyMQILZcRumZTPz6lGM3Kwutk4PD45zhdM0wQAIiRCxoxsNjs7PZPN2mVHKSBMBo0iW0PEAAClPxelDPVrcWrdvgQVrMHl4P5NvPVXq5ZF0q9PaRgIcZHlieaBRCTnkYEgICBmey9ijAmw7IyNyBNGdiw3NjaWzWYLhQKhPXOfwKrWyqenxbNyOZVKMcak6yPDVndbeq6ZRqO5OHpYQ6PRRGKa5snJyfHxcb1ed1dKtyyzs7NjY2NyjR6t0gwB9jAvgesmJdQNSrP/DcAQDZbIZrPj4+OZTMbxew0AwjRFsVg8yp/UajXVQqrjDWk0EiKSLvBOTk4sy3LFetIty+z0TDadiSopiFz3YDWDRZRYFZSWRW1iiIghSyaTuVxuYmIinU6r7h0bppk/Oy0UzkzTVA/xLWg0Gs250a2sRqOJxLKsk5MT1481OE6sM5nMzPT02NiY6nZRmW8vyAlthsj9MiLy/b/PYYG/+Hu2Pwo9fwJBqGs0F4GUvzh7+mFICDKUEgBI3xDuHygd/Ww6Mzs7Oz4+johEllyJBHJqQL1eZ4whIgIngYScvCVCj/dqRhNENE1TzjuT37rkxDvIZtMzMzPZbFaq9BgD6eVatSW1S36Apv2qbUTUctT+TbDDP03PCTzooEHH51/cdfWITjRYBpjL5WZnZ3OZLAAQWbKVEUIUCoWTkxMyLY7EQU56jrgQ3cpoNJrO0XYijUYTiWmap6en+XxetRMBQDqdnZmZyeVynXQ+dG2jGQCUmEuR4Wlc5L7JZNK1EzXzOYpisVg4Pmk0GogQ/BLQaEYcqSfK5/Onp6eWZTkrERGz2ezs7Gwml3X3DBzMgJg901l/A2sGB7Ur1bQHkccFngoRZdOZ2emZXC4n10hfkJZlFQunhcJJw6zZrqwjTqcLiEajOR/6y02j0URiWVQslotnZcuy7J46MQDIZDKzcwvjuTHpc5SICIEQkASSQGJITK6RIHLXeYszvCawi+O98aUjF0k/km75WB0mX63+TzsK/PWa+CPn7j7SpajbcZcaIvVGUAHsQEsikUrOzc5OjI8jM2wJEkMhRLlcLBQK9XqdEfDAMHJLmjnhcp6VRtNTgtmeiBDQapjFYrFUKgkhVI8qudz47OxsJpPxztMURJbUtDIkZIROsPBmss3y0r26tFuF8ELpxNG0jhCDbm1H2SUSJDtR8iciIZJaEIAIiLLpzNzcXC43DsgFoSAEEARWqXR2li9YlkVAgAJQSE0yAgfHd6RdgjxZL5CLdDOj0WjC0O2NRqOJpF6vVyqVarUqhJDTx4gIiKXT6enp6UwuK8CebuabBXDZ41cYWOh6+npArkMGegxT9UlkzxpTnEc0b40YAaRSiampCemuS1jOFqJSsXh6eqrqiUZqaHd07lTTFl9mkLYeAKhUapVyTTYxcpM0GOUy2enZmUwmI9yA94HchJf2Zavr//5j0KuX5px99N+LbHHUNem0PQ1Tzri0FUmWKJ6dFc/OLMty9USh8TQH3abWmkHPCRpNP6PjnWk0mlAEACsWi/V63bIsbH4qExEl06nJ6alMLksIAogQOONETvQZ+XUNqusiC7zxzmScL7V5VwODtFj2HaLMCwpZ3+JYlaj9IeyQqPWa1lzmE4vKJ23fnU86ZMc4k4FpHOmcuxWAy9SSRmJyclJ24mXMGiQAEJVK6eysYNUb7iGIaNidWi4jo7lpjkJn154lJJch7rJKnHIadRQE9hn+J96vyNwuLKtcLtfrdRLSM5GjDxKUyWSmpyfT6SSRJey4gwSAhMgZkmMkQimVwEA7EHjB8fNbnPrfcy/x09EZbihobXSJzgPhUeoQ0SKBDEkQOrI5BihrS0FEROl0enJyMpPJgGJgEkKUi6XSWdFqmG5Shjd9RJSnJyBUCod/aZBz5nBbwTRdxx2l8K8HgMEuCj1B24lGF9XxsMsofKtoggTrTSFEuVwuFApypNeyiHNOJAAApR/rmZlcLuf6E5VjXDId378ywW5lrVBzT+tvy+CxMfcPTV8jaRG3qx+qEQq83077koQABEKdkibXezI2A4B0Oj01NTU2NsY5B8foQ0Tlcvns7EwG/EZAeQmRfZSI9YNLsImh2HlDd/yHHsuyimdn+dNCvV43hZUgDoBEQo435HK5qamZVCYthGCMyVIoC2OsktLVkqTr/6tl+HqqqvaHULYO9iwzt3FRu09STyQ9QhIREDHGhBClUun09FQ2MW0JMRUN9lMEGMa8oekWUX1UnUM6wtCG2JEl1E4ke2C6FI0gSmYQiCgE5PP5w8PDarUqgBigaVmAAgQanI9lc9PT09lstmFZKAQ4jhUJgYAQZVoMmh16lMoM/0mDlxFv2U1JBEaMu7WM1FyWI3vB9aOJ23+NEXLoalDfl73GWRDR063dTGX72xLEGEPlHuUcASdP2PsLoGQ6NT09PT4+LtN2vmNZuVw9KxQb9bpdBhjJ0uDaW+V3rxtRjaKzlZr3BoWQJoYAEATzrAhdVrFLXPQ7BV/ZjCECofhGYk23kY2CZVnHx8dHR0f1ep2IpB9r2flIJpPj4+PTszPpdJaITAEMLERktr0ViGRWQiSGiCJ28ehWG3GRNNVcGrWs7jmyhPZR+4GQGkbdGrnsr3QIbS9dzZ2YLV+VulRwOmbSrbsdOcQZoiDCUqlydnbm+oAHR7UkZ2vahcXbR2q2Mu7/nR0GLr/1bQ7R9ANRdiJvkQscpSwHS4RaV48I2j+RRqOxUe2DUk90dnbWaDTs2TSOdcAwjFQqlclkEkbCrUEuubVu3VHT9BS19R24XlqcNq/pOcKxm6tFI7gmmUzKeWfSWuqmUKvVisVio9FQV/pOceEbGjAGLsNoeoRpmqVSqVg8dQsIODbWRCKRSmUymYxhGIo7XisiJY2m74j5Jem2MuBtFHyTkVOp1MTERDqdBqUKJaJypVIqV+sNC6TZVHGAHTGzJuSbecjQTYzGRWeGi6PnnY0oqqJVo5EoU2kQABqNRrVcMU3TFY8gQ4MbyWQykUoahgEAHJltmld9EklVBQoAYMqHeS80EZdj1x+p0YO29GI6YXfp9H0F+8oMmp11O02pmBMAAAQWojMmJSjBjfHx8XQ6CWBr6zjngFir1yuVSnBSQNOn9bmudtA53/3GPyrOnqP2zPsQIUS1Wq3ValKWiI4jMMZYIplMJJMG4whIYHHkAAjApYc7GUHcU2YDr7P/3696hVHLmv7kfDVMiFIMkYg4Mqkqcv8FRM65GweNiBJJPjaWTaUSBLbsjnMkgGq9Vq5WXGEvIkpLUPPsRFKwGnXNw5ff+rNPorl8or5zkc4/4XL4yktbtJ5Io9HYqFWq9K5SKpUajQYSANgBOAzDSKfTqVSKcx6nqtXmyOFj0N9p/Jbe1QdBmMTdGfjFRCKVy+VSmbSvh1qr1UqlkjopQKPRSGQTUywWTasO0l8vAAAkEol0Op1MJmUTo2r0omqeEey7jwiD2NY4cQxa7dBcDg66ME8jItudRDKZy+USqWSziWFIRNVqtVwuu0MRPhWSLhcajcT3dXOFVzJwaD2RRqNp4kqgiahSqZRKJdkFISJEAGKGwbLZdDqdbmoi5P7ycCktAgAAbM4XcGTVBEQEKNdTc/8Y/hrizxPu1vzhXqc/ZLSVKMZ5p12+JHKc2mC45xp3vXqFnh2AgKHrhwgAEEkIIefCEApAQALDSKYzuXQq63TQmQwMWKtWi+VS3Z135r2GprNS9byC3DXDncc6Lfutn0mkZyJNvyKnNssmhshyu6OJRCKXTaeShttqAAIAE4DM9lElFa9SQ+H4+KKQKuh8eelq6edru3xaaEP6VhQf0o543mnTkzRAUzFkH4VIrkc8Jr0LIQEZyVR2bDyVzKAMsonIiANRtVyplMokRFOayhAABPh9vauNnc5jmlEjOOtfExNtJxpRXN8iusBoXHz+iVw7kdrv4ZyPjY1lUmn1QCm0CI135u6g7AwXz3T6g7Df6M8uO0RnlRZZKMT7MtjdeydvqxsZ4zyTyUiRnXpcPWLemQzhFFr96gpZMyJIPVGlUpGxMgUCERmAiURibGwslUr5jT5KyyHHLWTgJwCwl33p65I01PRtiyMJtcXIjhKA15W0so8AkA2MrweVSCQymUw6nbYDhjgd+FqtVq1WpWRV9Vtkq/B8PgQxGEpkCNHfNRpJzCpCZ5jWaDvRSKPLhsZHU+NAWK3W5dR32YlHx4l1JpNJJg3m9G4EISJDFM0U0FZyuKNkKMe5CACYAEt1uAi+eBwtl6NUA9EjePKq4kywbe4Zdd6w9GMkrAGAsHfXu2fYOodELUNEx0KQzK7SNVFTDQck4y8JNDCRTrGE4XbiJfV6vVarufPOmmFlEIksn73J1uWNTJXc2n9HnOXWWjBNf+IWMcuyqtVqtVoXFgAwRkAERCKZSOQy2WTCNrnKhgQAGCIJDIw9MAAUQLLFCXZphHceT+u8FJW7PBH3IvY5H1Htmm5fBpH27Q46XRJ1H9k/IQAAhkK4xh1i8h9A5CyRTKTRsAuFbEGEEPVazefhiwQCIMnWSp5d2Em3uOZhymn6u0bTBqb67yJAgIi2QPf8AcDQJUrjIypQgmakQETLshqNhmlZriaahEACjowx1pwDzwgCImc3EVdkjUjSvzXDptWmZXjK0Ktqv8Z/AfI8MdJusWfUWXRBCdJpBdK7Z3iOlF0/oCqMo9TLEREyAmJ2j5wIGSGyYFg0aTBqNBq1StU0TamEYMiUxDmAUA8JloVhzV3dal+G9fkMPW4GqJuNRqNhkQBAIiQS0iCLiIzZEz5DowRKxYTbMIFS7SDYRVgdJW7b0MRpWTptfeKj25eOGNw+KgF5LhxRzgazg93bPqybmRpQMGWCP3O2unm70WhIPZHUKcl2RwCpPRm056/JgGjqycOXh4MBzSGaywFtWV9IGxGnXIxU5tJ6otElqhrV1esoo7x9YZpmvdEQAoiIEZA9vQxkJ77pXlT2XUgeLse7mmNZcvjM3QGAkC6ax4IHRycX31W/ar3q7OyjyfkqkMt5ehixHIUysczzSalELAYiZxOSAEIEJtcQcNmDF+SO6wIAEjQajVqtZjYagHbP3emdSLjvdO0vbqCIX8wH8OY050TNFaYpanVTCHLm0UgXdrbVlTEGIFwvY4i2oAjkx7aQ2UaA0wahU4fbpQwRZBmzV8a4tjYbRGCfi4aC6bSmGikGro8afVm2WhnB8T0HAAAy7BKzs7fdxBAIQgZgNxpou+JyBxgY2E8AiahRb9RqtXq9rp6M+S4E3Xzr9ZDkWR7UoEaRI5SakSeyAnFNQt6SQp59ItLswnUNGINaNWg0mp4iZ81Uq/WGsKe+y6485zyVSCSMpokZkZxukH2g+6+zg2unH9RhQI1KnzuG6CJhDrYEkS9+mUACzjnn3NU72EdZotFoNOqWx58RwUh2NjQaD0RUq5vurBkiux3hnKcSXI2nycDfcIRGHgRy5oPGLGMEAe2gRnM1OFnaPy2NyJKWU4Nzxgxoquo4AAghGo2GGyqBiIgsecjQN9NDf4MaTT+g9UQaG+zX4BGaK4JJNQSZbicegQQAJBIJw7ETEYIzBUCuEIyhEIqYU1UYuYcA+Ye8LoZHckHNsTPvOQKOAWy0ubwzQr0v92PtEVuJE9xFPdQ2fcofAokAyI5KRkBIyBiqdiJwRnSFEJZpNhqNhhCcMw7Oge2elefCR8em1KlyamCVVhoAIKJGQxaOpm87AmCMJRIJxyU8UxVD7rRNpQpiyrIFzcIl56A16/aQzNJBzolqO1T/dwIcXzMYWK9bGY2nF2TnE+cnuRmbEwknVqwgIoa2UzyDJ+35/sQQUZYIIYQ0FQkBDGXjouR5Ww/LfGf3Mqg5s097HZqhQHcuXAa1gtB0HV3hanwIISxLCDkrwAEROeeMNZ0ikjfWjFx2u/5BELBTt0SaPmekag/VWbW70uOfSDQ3EZFpmo2GBQCu2xQIKJWG7AEO5U1pugsRCiEsS2ofhBRBAAjGmGEYnHMg5pYy30KoXIJ0ltP0N6G5M9h9AhCyFVF388ixqRn1zLIsyyLLsoRWx2k0mm4zInoiPZ6j6RbDlJda3QsRyU68b39EBMYMVEdx1aAeMjXL44vR231pqn6I1Bgc57PfO0kr94KuLwDPlUfTemtwTFhEbI06tt+4qjzcdoy99YtofWzY+g4zU9TsdDluKSNcCAQC230uAyRBIGP52RnePbuwY+cRmaYpGqZIGoxJD6PSXRcpicupncoMTf8Nin7NS+Gcc3pprIPUkn6ek3SPOOWodZ5vnUJ3y2nftVyyaFiW6ntF6u3QMAzX/x04tiH/1DPp7ouaJQiRCyA5DxSABQWlzWMB4PzZJ/gGmxVXuzTbVnHnvpLLIU4e7p+cFnzawesMbo0qsxe5LwYBI5EqVoVAHCV3vSBCFAgMGBFDQgaOX2p3T9M0TdNk3AgEXEMZQiFA/7wjjSZIsI8df2t3CBSaAeuDdZERvW2NRtMWy7Isy1Jd87ouioA3nVgDgOU6qXY69IpcQg6LeeKFg9RWBIxEGk0fEkOkIOSMAEQE5MDUgV+0LGGaJhFhwM2KL3HviURgQaMZKoRwioYnqBkHZjDGSInP1MLy6CpeXT2FlLgGAxcOProq6Ih+/MARMd6iz+ejsj7YgiARyPmbEe1UqP6uH5+MRtOvjHTFOwR6ojh2cV0narpFi3Ez4R13Cj1ERUSMWYXqCHox/tPmwuTUd7lKmT+P9iR5pb/CyLa+C1tJhN7UAIBL+YU99QYAkIHzedC6O9967LfzMeHWCqAgrUcdo9b05+DD1bZ2bRVALHqkqIV/kBaipLhlJ76+QBpG5f4h0y2b1iHmDhcTCSFMIguAITlBbjxE5cmR7p1EEEdTFtz/Mom6tk6vJJix2+bnFtVO27NfdpVFRGQJEM0pikQkA5Q1ra4AEOGIBKkZ78xGWNJrGMgo4L0yE8Vvi0XEcqewiJNexrh6O+LU0pePm5mjHt2l0iInNsP5eWIdhIQBsX8yzxo5hd+yLJOERWQAyAlrjl/IZvgFsN0V8bCOK/Rld0Wj8XGZNZ5o+XOEyssI3apG00ta9JBCN8XZ/wp7XZ74Ze54r1xgjKkuWoJ9mjDnEdLHpxuW1YkEexlKoi4+xo6SijNwqOki3W/OiKAzhyeE4LgddS9JFgpmJzh8GgfNJRCnJrlIbXM1NZXrzE715yXbF8+85nOVmsAcnIFG99U7xc3Sff3o1Fwa5XhLEiwRTsfMp+AOHj66n7gaTZcY3VIzBHqiKLSNXHMR4s9Ljz9mGDWTP86VXITzlwXb5y7ZwVlt2YXTKbH/JTu0DED4EK7TmxHK1djxztTRrqjru1hvP/7Ti6kz6vR19JWwSL3HfvBSFCTO+qjlqMMvco8RXfbA6rD+PXM3OWlRbJlDC2nVSHFRnyBXTRzfQ7H9bYVsbX2W4J79QPO+CEGAQJJNjByRsBggR+Ry8o29P57jbXYULSGeorBTLSoo+18kN0YpDfshhw8ELR5UlDq47YEXuhQlpzUjgsgriZphaYu7ye56IXosR4yAKc4gbd0rgntrzs6heUlnJE0fcm5t7DnBkHo1ql0eoRp4JG5Soxlhzv2RIN0SgTvKJdfaniAchVHYhHk/ctaAP3iH0lPqt++YaOJLhJiuXYceNUvbmgjZPUehbiXyKxuiBo29RYkFFkaWwakhNB0gODLmNARu5hfC9K1x8ZWaFuILUOSrw4huX4YB4c2jwd6Ux6UjETqRNO3diBERAMrvWxZi5/QZiULRGUmj0UQyBHoiXcdpukWnFuLWo4tx0omTQndnE3Rwj4wxjsyZP89kTBkIBL225ULCmZvmuofwpobIye7NAACQsku3y7BvNKD1NOML0g/+UDrl4vlqOAmLdxarvEgXRHaJUJyqyOkzjHEErkxGCyesK9//eenS8M0iueyRxk7OFb/mD6Lmt9bel+L4PwpqXdWU4/v86haeM8qvYjuuGUNQzKnBJgYYEBAgkKtFDShYHZ8syqRpuV75N0o3FE9J1Hp963a8W7VuXJ9rvaH1GQervoqjG+pOK6nmLu9wGQVWMdf9nf9SFH+RAiwkIOcnYwyZ14TqydBSaRTaV9HdAE0fEr9t7W5NGKdOGKxarguM3A1rNJqYcM4Nw1AjnYEzwGVZITYjCoQudgmu72hSwMXo4tCrHsXV+HFLhNuJVzchImPo87ciOWfweI2mh6ii+p5jcM45B4aqiyIBZBFZjt3IZzNSl+OoWYcU3RING61zsjsU4Y0MiIjIbY+R59Of6lyk0WhaMQR6oviM0HxCzbmI6QMl9Kg4uatT+3RXxh5jJuLfTY70cs4d10JNL4n2PBrXciR78wAAYJFwnRaRdK8YdQoiRI+rlouNYrc9tIXDl47mG3f0PPu5trmqaws++V5fyUX1EW64pVAlndwq7UTBWTCMI+fcSDBkBKJpHGWAIMgRH0V5Hu3n/HM5ROk1hun59GIMM75/veBRvYWUOcuMc9nEyLnMgmzRnWemMwKg7QVPVUkgARABSj9HQm1NyEkHlLbJcw3NjZ0EO7SJqsHiPO34GjEt9LgIvdAXXJRgRgvGOLP/RRBE6jwyIYRpmm65QGLu7GbZxCS4IfV0iAjA5Vz/eNc1HLWoZtDxtVkxu+I69/Yc/Yg1muHm/GU8kUhwzsF1oAi2bSj0e9jejiAgZOA3fsCavncp0S+fW5rLIcpIpCKEEJbliuzQSzLBE4mEKinyDh33fZbXaLqEWnwQkXPOOfe5GSJLtGhiQhP0peAWve5duEbTfYLeiNx/fY2FtBNZlkVESE4OZ/ZARTKZNAxDHXeL3+PSaDSaFoyUnkgbxTS943y56yIqpJ7DOU8kEu68MztahhBCCNOyBEX6CVXV0eQIeYikeoIJEKG35K6ksPn8rb1LhFxD5J6tn2e3osupC7rmiaJ3T6a1n5dwQrxNS68P0hMKoJuxZS+cASIBIpAQjVrdMk3pI0LuRiiAkRTlGYbB/FMtfUoiV7KnqhL0iJlKvz2H88Up68UZg/sE6YdWhqESgAkAEomEYRhIAMIpZ4JkE2M1TUUMAEl6JnIERcEJOACelAVYCIjKfUV+N6uByT0rnMicrfYMfW6+mj9Om9JveXtACZUhXKQ8BnV5KuFptu2luJYgkp4cnawpxyQQEchOxbV/WpbVaDQsy0KmxJlF5IiyfTEMw2sb8rUjoZej2xdN/xB/DsfVtrAjh34cGs1IEdevASIaBpM6CFUWJATU63VXOuHuHHRj5D2pbwEI9ZCXZgBQPw6igtEIC2QnnogYoDoULDvxnDe/b9UE5BkQIx17aTTDCiIahiGHIkgJ8k1EpmkGvX1BIPxT6/SvIt5Zrz8zdI99yFHcDIGv32U2GpZled1VA6JdjgAAkUJdxff8ojUazfAyZHoiPd1DM4gEO5etc3Ic3xPnKwuecbNkMplKpRizTUvkjHeZpjBNIYTtbYUIBaCMZWZ7kQAGAKhOQLMVGZ5rJTtqTUg/JhinBgLLrTvlnSuJovZv/SSD+7DAhekxil4TJ7ef8y0wrxcJF9tNFwIAmMKq1WqNuqV6LJIevuSXMDmeiJrmVH8GFZ2Mp40OUXVjPzyfy4yHEt/fUHB9i+sR8dLsLvZZGGOpZDKZTCIHciabMUQhRKPRsEwTQPjkmYQMIspjW1T9XvBug22NvT3iKztsdZSANE7LHqeVaX1UP5SIK6frDyGqNLXSewb9XvkyLNoWnfApzGD73vJsFqZVr9eli6JmYFkENHgymUwmk+6VEEoHRvLaZARAdVRP5xPNoHOVhviO3dkNPrrK0Gj6nKuxfspJ75lMRvUfQQBCCLe/4u7scTs6VCqhi5jbNH1FXCVdW3yKBkQ0TbNWq5mNBpInGJMUEyUSCVQiN4FHlyQAgDz9eI3m0rjKmgoRU6lUOp1WNRSIaAqSTYzrpajrbUrX6oLO6EpTLsLS0S1OXxP8qrTtkhTuytqOFqJIgUzTrFdrVsO0Z2g6GIZhGEzqieSx57OiajQaTShDpieS6CZT0126O9YaZ2TYp1IRYVuDy1H7xMGfprQTpVMpxhiRBcAFApJtJ2o0GooyAhkAIQKitLYz+4KbPiPsvgt21lFuZ7mPf4+tx12jdEPq8w8+8zhjuboukrQuQRcvX8HS1FlOC0YdQ2nNISvq2lTDqGVZ1Wq1Xq+TE6RGbjUMI5EyeMJtZ4XrFdubFgOv5UjnHIeO1DFDTKdas5ie73zF5FL1KbadKJVCYsIkSJL0T2Q1zGq13qhbRNIBi7QWMSIKm0PDmgVXoO0XzEHY7RFCUNPhLMT7rO6oVHZU+UTpU+K0KaNZFlSuysNjDC9IbqPiiKl9Oc3Jlh7/6yAIAQWS66VR/mvVG+VyuVGv2/0usICAMcYNnkwmZbwRJyWBZF8JUXAE4nz+yzQazYiiqwaNRhNOKpXKZFKMMRnmTE6Mb1hmpVKSn8TqzgwAh0pJpKLryREl1LmD6/TB3Wo1zHK5XK1W3ZVuGJp0Om134gHAGytQe47QXDVXWbMxxtLpZCaTkS7w3HJhmmalUqnXzag4g2HyolY3Etz/KgpeqA5IM+xEZTUKBOyQuystixr4rGY2SqVSvdZgwNwGiDGWSqVSqZSrJ0LH+7V9kt7I8TQazegwZHoi/Tmn6QXdzVetxwMvPlrYqUcPOfNFehRqrmGAmVQ6nc0YCQYA4KighWlVKpV6tUbCI3cislVI4J1fg8QIAZEEEJDfX2+ocyIfHlXROScHdxo9QWs6Lk7zGZLyJLvhNyoOnaXpUxI117suiOQmRCCL7EUkQhCCGWhZVrlcrps1dz85ayCZTGZSaYNxNTnnXMyZyimvFnWu03SP+Lmo1/ktsnZljGUymXQ6yQ10iwgwbFhmpVIxTVPZGUAQIhIQIgJDAcTs+IOCCMBWtQoigID51f72BgCnvHXajHjbxyji6CVb+yrSZX9wkd2kpkOiKMGanfcQAMAiU/aRAMD1wOXur049azQalVq1bjakx3cELsCUijxpaQVouoREtFsT33hG8zovoL3VaEaZERzcs5slbW/WaDTgNfGk0+lcLqfGW5WuWCqVSq1WUwe77K3B+TTS129EHLQ4RiKNpg8htF2zM2YgMVkoqpU6KCVC9fAVI0ndWdeMFoiYyWSy2SznXOrsZNlpNBqVSqVerzojENTTDiqOZNdfczm0yLgEQBg5Fd8elhMCAEhg3WyUipVGo67uwzhPp9OZTIZpA6NGo+kNjlhxSATwcbraukLV9APxZ4l3qjK4kEcPdHwMIWI2m5V2InWraZqVUklOsQHbP5E9KkXIEADI4/bC6f0zJGFHPZOT2JQIaKCEoZFpeTQdnuuLfyvgJAnx/BfEiTEXdVR3xuXsmHH+1NyLjx/zqL9QdWoOvbvycz4lN+95tQZ2CtKvEBGRZy8ZdAZN0yyVKo163Y535rg3ymQyY2NjagmSIPrmaArVmdf5rl+jGSwYY7lcJpv1+rEmMOuNYvG0Vqu56lQETigAZeOCCAIABDYVRs4QhadsXgqdeqk7X1yz4Bl1nSCJVPFcDej7fySuqlRZ59b5RMiAbHdFAMAYM+uNcqlUq9UASB2KyGbT2WyWsWA64KTmQw9IaDSaDtCNjUajCSHqK1c0zHKpWq1WhfB1OFiouZnQjf/aVC860dNUbVH/c1UdLN2xuzLCdPuerXKTaYpyuVwpewqFLEE+S6sv5eCyRjPEqMogznkmk8mNj0nBnVvWGo1GuVyu1WoQJiPqP/F7V+pn3RUfUaJevJxfBk65aDQaxWKx7gxF2Mcylk577ET9Vzo0Gs3g4dYkP/74o3F4eDg3N3e1F6TRDC9RepNO9UEXGUVsfWy45wWpJxofzyUSHEAQWXJPy6JKpVKtVmu1GpEFIAC4Gg+MwLJn0Mt0pGNFaRKSLiQQAIScdCaAgRP4AzyJgHtVF/uG7lTp0+IJs14oerx3Gsc71aCOJzs+Pi7T7NXBU2JhUc8IGCEBWY5ICAhlCyoA7MhlhFA3G8VSqVp3/BMRI0EkMJlIN51HKCmTdKkCAPZnAAu8Vm0c1Awhrl4VABhjYxPjY2NjyJholim0LKtWrskmJpPNSmcrSAydmc1StIckfA2EHemM3BOBLEdqKxP0UgTdaWKgE61QaL3UorK61Dh0g0dsFY9DVDt+GW2rmgM5IPnlb834fXLaPhEBYL1eL9l6IlujTQIR7XlnvqGI8KiakTojnaM0Go0H2YDm8/n/9t/+G/vv//2/q9u0NVqj0UhUNUQzGA0J0zSr1Wq5XK7XbYcsSEQCEXjQD1GgSmm6u3a36mpH08cIv/P15ieo7SvUNM2zszM13hk4wWiy2WwymQykeaHJoRrNEMAYy2az2Ww2kUiA7eQdAMCyrEajUatUyqWq2Wgg9Vxwp5sfTb/hCQaCWKs1QpsYqSeK5wJPo9Fo4kJE//RP/2SapvH8+fPXr1/fuHFDbhgKAbzucGv6h17EL+vu/uHIr9xcZizBk2oUMyIyCerV6unpabVaTaVSjOyxqYawuB3fyo6YBmC7+7U/AWzX1+BeITpb5ahaDzxbx38aoaPB/rl17faPea4mQU9MGHnNg1qzeT/DencX3fES5cmCZEkRgvsRa+9DAAQkiHECwEajcXZWrFQqtn8iJ2ix6wnee4WegMdOzCZC5Mr1D+q71mi8ROZkGe9MOnp3ygICMgBmWValUimenk5OjSeSaQAQYMnWARGB/GnaM3RIur0TAoE3NXo2UcagOE1O9D4XaZdb1FRttUW6fpBc5tNof5ZgHL1g++6Pren8Vrw3AkhNkJzFjBwY1ev104JtJ3KDA7qWVsdOJGTIPyJw+ldqm6g1qhqNJi47Ozs//vgjyKrk+++/v+LL0Wg0/QYiIGaz2VQqZRhG04JMSES1Wu3k5KRSLoPipcVnZRay26/4XHQ3DYiASPerRh3VQqr+JEL1s8E0zdPT01KpBODJ8NlsdmJiQsolQvHq6YTOcpqRgnOezY6lUinOuZyeKb3XCSEq5Vo+n69WqxE+wrw2ILeEEriJhO45IAziNWu6RtOHozOiUKvV8vl8pVJRdgDGWDY3Pj4+rs47I7CCsWg1Go2mI6SRCGRP9+nTpwGXtAONUP6itmo0gwJz3JfEzLcsMPAVXBMjBQRASKYT6WwqlUhyZG7nAxGrlXohf1YuVQEYMC5lFEwZGXMDh7tIry6IJNOPMhV1O0px/HtXn3Ocpx0n5fDUSBlUVJcRBNpxt1q88cGrvlD5uxRivkE/FCI6cL2z2yG6kZpDvoQAzHYyelrIl4slIOIyAg8RY3xsbGxyctKdd+a2s6pp1UU9adjtaDTDgafmzGQymXQ6lTRkREGnILByuSztRIwx18MXAgdihELYn9IWCPuLWkDz25hDM6a4S1T9Q8pfHKL3bN12BGv11i1IVGqdtuYjAPn+3xb1GUYtnweZx4I5hJxYbOjd04Mgt2VhYIfwQ0R5cL1ePz09rVYqQARklwjO+djY2MTEhNQTkT2CwX0NSoSvIp2LNBpNCLLGePz4sfzJAKBcLm9tbV3lRWk0mr4klUrlcrlcLsc5Vwdpq9Xq8fFxqVQKfOJ6cHrzzZExtcsyIKqijtB9r6ulF/aU5jtV/IMydSZavV4vFArlSlNPhIiyEz85OenqiSLci/b04jWaviaZNMbHc9lsFhGJLCJLFpNyuXx0dCQFFC3CDspSKI1EXhmRu/+Q1cmi5c/RpX86E75seo4LCzYT1WrVlddJI5FsYsYncq6dKPJ6QgqOzjYajSYcRNzf38/n8wCQzWbtFvT09PQqL6qHxFcHaDT9zNWM/3COExNj45MTzOAgSA7eElGlUjk5OSkWi0QWR8Yg5ANYVV4gSYWSqiQKL5VRo7UUWKLA33kJjvGeS4HVKqKcZ1PUuCIBo1Zjm/I6B+uz5zLrXvUltqeTnCPfBRI5hk+prXMOrtfr+UKhXKkIIkB7OBc5Zsdy45MTRpK7pwl22ZWP26jASXrsVzO0JJPG9NTE5MQYY4yIBBChsIBOS8Xj4+NKueY6knfim4H0T0QIhMwRrgoZSVM0S3OzEMk6KKjpUOmG2lFtO1qrilqvaYuI/hs1HO3zZdD6CQtQch+GNS7+toY8x/oUQM0OFQIgVGu10+KpayeSOxuGMT4+PjbhCzbCvE1J1DWPbJ7RaDRtOD09lfXJysqKXZu4s15hOAf5NRrNeeCcT05Ozs5OG4YhhAlge4CoVGr7+4fFYlHdOX7VQUSh/eNAjFjfVgC4vMlL/Y3u4V0BRAFNEMniUCkWizJosezECyEQcXw8NzMzlUqlgIh8s2C08wjNyENkJRKJmZmZqakpxpicKSatrOVy+fDg2PH5FWgXAq6slTT9O8tdCah1+3J16Jp8aGnbTquKbHUQAuwQBwgAlkWVSqVUKjUaDfdAImKMTUxMTE9Pq5LVHtyERqMZLU5PT2VlMj4+bre16vfe8FY0+stKMwoE8/n5cz7nfHZ2dnZmJpngFgmLhBzOKpfL+/v7hUJBzr4J87HiwR71JQbE1EshIt+oFnmVQ6SMA4N3RC7o9ea8qqLgCHCnTyz+6HGrFJx7af0GXVXRwGhM2il3ulUzx/U0EbwST14KbLYdoAhLXiciSq0cIhcC6tVGuViq1+umaSIioEBGBBZDmhgfn52dTSYNARahZ+SfyIrwVDJIb1ajuQiIPMGTC7Nzc9MzHJkQAgRJfUixWNzZ3/N0TZmnWLqFB+3oTs1S445DINnr3W0XU57Gp6Oa37fQUQ3AvH+jS+/938V4wq7iLewY/xU2f4Ro0FxrkRCiWCyWy+VazW5ikBEyAiE4g8nJ8ZmZKcNgLXoviDzsynWe0Wg04bh2oqmpKbuOGBsbu9JL0mg0/QjnfG5ubmFhLplMEhEiST1FqVTa3d0tFM7kbor/UQBs883P7C9t2YnXAkZNn+Htzrt522cGlYbRRqORz+eLxaJlWdJIJDcxxgzDGBvLSj/WPs8p/hMO7diMRtOGZDK5sLAwNzdnGIbUE0n3K2dnpZ2dnWKxyBhDiByECCqN/IiBaF/iG8q1Tbnf6UqGk+0LY6xWqxUKhWKxKIQFjoxIbkomk5OTkzLemeq1HbGVuyIA0NlGo9G0YGJiQnZZ8/m8HUwxnU67mz2ffEOCWidqSZFmuAkdODonCcNYXJhbWlqR37rgfAOXqpXd3d18Pi9MC0AIYSJvNZyHJCsWAQBArmrGubgYdU6cvtfFqq3WT0nE3ud86bOI5TjH9jMM2r+Xbt2dCCwHJzaGI9dHXae0jXpnnAkARM5qlerJyUmhUEAAztzTiWTSyGXS47mxTCaDiJ5rQwFubiembB3ct6zRnA+RSBnzS4uzC/M8Yai+4c/OznZ3909Pi5ZFCQYgCL3TzxiA668NSVGVor0GAAQSIEgdEgWKt6tR7QPi91F1XaHSfBqt6/Ben90T7gAAovNVjCtkABY4Uc9qlfrRwWHx7AwBkDFCAYSMsUw6mU1ncrlcMpkGAMuyZPlA5C0DJuico9Fo2uCKh0qlkl1lTE1NuZuHzkik0WjOiWEYi4uLKysrqVSKLIEyADFArVbL50/z+XypVHItyzJQMZEV7KMMvvW5sxlkvb0WzXmJkwV9M1PcPrcvV0uDab1e39/fPzk5EUKwpp2IjY2Nzc3N5XI5NdvbuiTgAPYczAvdjEYz+KRSqdXV1aWlpUQioRaxStm2wFYqFentq3U67jBGby9Xo+kV/j6G1A1VKpX9/f2zszMAYNxujxhj4+Pjc3Nz2WxW7qwGQ9ASbY1GcxGknQgRNzc3DQBIJpMrKytXfVU9RX+2afqBwRgJVG06jPP5haWlpaVMJiPdQ0j5Q6NhlUql09PTk5MTO9yG/TnN3ESIoVwCAGBI0EyWgLoVpIQCy5f1oRD1NqOUQSJi/bASruVp+3bkN6Ev+At08AUYfLaeN6V6swol6jSkDBM7/ragUasf7O4VjgvuZUuD0cTE1MLCUi437twCMsYIAREdQ5TqtkKjGU1YIpFaWFycX1hIJQ0GBCAAOADUG7VisZjP509OThIJzhNy8qaFwGXcM+b+0yybMqagU8oc5Fa0Aw4COGU/pAYIVlKBNRcprt7ELqIbCh7LYhw1fHTnTmWgMgRpx+/m2T2pUcQGAiRV7+a8XIZIUKlUDg6OCoUCOI2gIGKMTU9PLy7Ou3Yi9XoQXVNRa52yRqPRhLCysjIxMXF6eloulxkA3L9/XxkI1Wg0I436QW4YxszMzPz8fCaTSXKDoxuRg4QQ+Xx+e3v39LQoB758X/KtHQ8RUXAiQB/TlXjGmva4QX9dWrtI74zOB1rdbBy8KgCoVuvbe/v7R4eWZbnNKENjanJmeXnZ1e7axxIj4TGnajQjTjKZnJ2dnZubS6fTyOyxBCEEEVmWdXx8vLOzUyqVGGN2+Wrn/w4CcaN8m6BdYE3NqIGA6Fhurs5hIoa0CwzL5erW1tbJyYnrmQiAITOmp6cXFhZSqZR9sDdo2mVet0ajGT7u3r0rFxgAfPTRR1d6MRqNpk9B5Ih8anJmanIml8sxxtReyFm+sLm5WSgUAJjcJIAJb9wZAkbuMBc13Y5SvEHV9leojMx1L+JJ0AZ0kdlkeiYawLnfDvn+7yPOs1XeZiAeTZuTqx1uQap/FEQEhGq9tr2zc3hwJGVE0oUKY2xqamplZWVsTB3sBQSBYVerznRrFxtOoxk2OE9MTk5PTEyMZ+0mRq4XQhwfH29ubhbLFdVYzMhxOeT9HraFh446wyvQEITyzxaPQGiNFFzVwzBareOUdbr+IvE6Rx4iJ9hli3pXBP46JBii1VlPdqBNAYGRiWKptLW9fXx8LO1EcgcZiHZ5eTmTyfhvRcnhGo1Gcz5c0xC7cePGnTt3rvZqNBpNH+L2VzKZzNLSkhqSBgCEEIVCYWtrS1VEM7LVH/EFIAOrrNB6okvC0QaQuuZCCXZy6uCVyGWZw2u12ubm1u7+nmVZztRL4JzPzk2vri7ncrmYp9ACB80I4pamsWxufWV1dnYWkUsxESAKIY6O81tbO6VSKapZkUVS2obiNzrYM9uPZhBxc063tKsyW8e3JKlqIN+mcrn89u3bw8NDRU+ESSMxv7iwvLri2onUW7jgxWs0Gs21a9fee+89AGD/+T//Z7lqxJSKrUYD9FiuRqOSSqXWV1dXVlYSiYTbiQfE48Lp27dv8/k8Idj+hlAwEHbMe2JATGooVCWR3acnv0CjudW7Ri2rUYO7vRn0DY73th4BVveRqNc+8naleBVri5aoXSMV9eQvMLrOMDA7kgEwQC4IiKBUKh3s7eePT4TlduKBMTYzM7O6vpYbz8a4bG0k0ow2BOO53Pr6+uLiIudcCEEgXdrB8fHx27dvzwpFhFYf8K6pCACkdMi73V9vy/bCXyFFl8Ju9QmjFIUOnbYXwbYp/rGa8xGnDxAbJ2OFhkqQnJ2d7e3tFQoF13EkAzQMY35+fm1tLZ1OEwCRpRVkGo2mu/zDP/wDY4wtLS3J39oIrdFoQsmkUjdu3Lh+/XoqlRLCBKe6yOfzr16/PT7OSzk0a9mVh4huUNBU5MPtkekaahQIZqE4a3qNz+kDIhIBEZydlvKFk3K5bE8KQJS9+ZmZmfX19bGxMduuqhwYevFa4KAZZbLZ7K1bt1ZWVhIJbpEAAMaYADo4OHj16pUM9tSijCC1UoIEPbaEm26vvghq486QILNSLDfXGGIkko0IEVWr9UKhUCgUqtWqjLDJGBPCYozNzc2trq6msxlBQs3hIzbkr9FoesXMzMx/+S//hek6RaPRtCaTySh2IgEgGBJDPDs7297ePj4+rtVq6v7SEwTIPwAAEEACyOMbgtpbiDBseUC8t7DAX5AR8yJxPtGXlKlJxz9eHIfQoRqiqDX+C4lyGRE4kbM/EiJxjqZpHh0dHezvl8tl02oQEoGFiIlEIpfLTU9Pz87OptLptl5FEZEBdnQ9Gs1wQCgABCBkcrlbt26tr69zzoUwAQVDQoJ8Pr+9vX1ycmIJi8CyjwoUKNmyqI1L1J4SuTN6m5UW9MLznbcVY4GFi6M9FsXG4xYuzrPq2vP0GYmkP0dJtVo/PDw8OjysVauWZblxP1Op1Pj4+Ozc3PTsTCqRBKEdV2s0mp7w2WefeSLL6LpGo9G4uF+4RjJ569atGzduSDuR07OxKuXq8dHRyclJsVg0TdM9KpBIpKY68tRAJL1gy//cCDbdurerR/faw4l6yT69gCvCvxw8V8UQAKq18ru3W9vb26Zpcs5dk+hYLre4sDAzNa16GA3XEGkNr2a0cav0sbGxWxt3VtbXEolEs6YnKpdKR0dHJycnpVLJNE23EgiVCLUIcOYjNJGrblwuaCHSDcqFISKv/LPXyMGz4FVI6VC5XH79+vXe3p4MkgBOZp6YmFhcmp+anEwmkug4xXPpZnhQjUYz8nhaJl25aDQaF0SUDoSMZGJuYWFxZXlsciKVSrkVhTDNcrl8fHy8v79fqpSBNTvxACD9E6mpOYsMgMl4NGqEGokcGZZTDNSYNVfd+4nvjyBOPJR+69NfIIZLDDrSf8V8y9G7Be8i/N211QioLqsR0c6x6HiwrlTfvX27ubnZaNQQbTMmAz41ObO2tjIzM8M5R2AtLpWICP2RzjSa8zJ4mhFEToBElEqnlxZXlhZXxsbGUomk9F5HRKZplsvlo6Ojg4ODWq1hfxUrSlU1nqa9BhkwHseztTcmWn+iiiXdhai3HLrP4OWKKwMFsrZjWnGfZ/z2xbeWOV2dcrn8+tXb3d1dIYQ9p1kgQ2NmZmZ1dXViYqKpQkWOyO3lgFI7RH+n2xqNRhMPPR1ao9G0QgAxxnjCmJ2dnZ+fn5iYsF2NEslPXelq9PT0VA6CyaMuqP5xPfui9Jjdv7NwLlKFCuVfTQdcrbCMiBCgVmu8fv363bt39XrdzfbSM9HNmzenp6fjpqZ77BoNQDqbmZmbnZ+fz+VyjDE7kBmiEOLg4ODdu3du1DPwDhv4HLsIIdygnNDJ8Ge/tjG6l34F9LqJ8Tmtg7BgmqVi5eXLl1KyKt11CSBm8IX5+ZvXb0xMjKk7azQaTS/QLZBGo4kESYCwvUJMTEysr68vLy5yzi2rQQjEUNqJNt9unZ2dIUpvE4DAEbjsvtjKakHNMGeBETmpIQr2zKTflr7x1RJl0GlRiwZ1OizMFcVImIo6GMNsuavt6yqkHx/UDXUnKo1PH8eQAUCtVnv1+vXbd+8ajQZjDIhZAgBgdnb21q1bMzNT7uGqFkmE3ZgA/83o8V5NPIZFLYIAAFNTU9eur83NzwAIi0wii8iyTNrf33/35m2lVJZ+W+wPY0Wvqs7fUT+bW3vBIyW6ZhvpR+Dv0jm3h7uuxue6ROxH3aHmK/h2Yr0v6U861pvt/vP0tmXNd1oqlV6+fLm1vW1aFnImbaCIuLg4f+PGtcnxidjelCLOOzDeHjUazZUxYC2HRqO5ZNxudyaTuXPnzrVr1zjnprCEMOV0m6Ojozdv3hQKBdV5hJpCnEgcITGt+sQ6pOk/ejeC6tPBuZkwmHUrlcq7d++2trYajQZy23kEY2xufub27ZtTM9NR2T7ci4rSVx8qN1waTWwmJyfvb9xdWVlBROmNSGpXDw4ONje3i8Wiu2eofyK5oMpafTv4DtGRNDVB0CGwpVefS27O9J367OzszZs3+/v7smWRky4NjovLC3fu3JmYmIB4jQU686J7dP0ajWaIGVk7EQNg2o6u0cQnm81ubGys31jnBlqWBQDIGaE4Ojh8+fJlPp9HRAMZA0BGbmwaBK54KfKPfbUNTAPR412XXn5bxNU6R1K+Mcmr8ighz9X6erp2pri0lJAxwJaeRy400hv9hcDsUMeMWcKq1839/f2T4+NyqWSRQCRkxBkkknx2dnbt2vrU1JTsmIf6GYVujJNrNF56W357gSzLbmmfnJy8f/+91ZV1QCGnNiOisBo7OzsvX74slirSbht0aQ+K7ZjIckqc8zSk8sjrL08SrGlCS9llaVqj6q7BUwP1DtWnW+Q+56wt22qFuvwWpB8uj+qNIXJmCqtcLu/v7xfy+WqlQs48SoaUTqcXFhZW19eyYzlBQo3nMAj+tjQazYBhXPUFaDSawSCXy0k9UTKZBJAdfCb1RK9evcofF9w9nXkBzZ+IynoAcIJ6ENrd/AGcYy9603cfgK+789HFh9WL3BLiMMLxGqF+cyBgo9HY3d5793arXC7LuQCMASImk8nx8fG5ubnFxcVEImEKC0kggHQtoZ6o9fXbZ+/2DWo0/YbPhDoxMXHrzp2VlRXDMFzrjxDiYG9fSlZBMby2KEREFgJve/bg8brQjTItcxQAXDTCZsCgqTQKarwOwGq1uvl2a2tzs1arCSHIsY2m0+mJiYm5ubn5+XnOuWmatp215XVdcmxQjUYzTGg7UQiyQiVlWaMZVZpf96l0dnllbXV1dXx8PGEwBCBBgFQslg8ODo6Ojs7OznKZLHN8xxBYiCjsFAhtFQjaUiNkvtLl68qQE/XM+XmZSGNNW8uG6nUoZgqqGYgF9rl8IxGLOG83TWB4BR9gnV0/gX8k1uteWgghkEvHKGjWrXdvt16/fl0ulwFA+twFYhMTE+ura/OzM7YhlQCIwI7QBOBTz3m9qAD4Gxtf06NbIk0YwfIbrFX6F5nz3aKXzWbX1taWl5fHxsbOzs7ssQSi09PTg/2jQj5fqVYMgzEAIrJIIKJqD7JdXMs0gRAFEhICoFCM+s2SJK23sh2KU0H1bLKrL+moFiFOaxKnBWmd5vAQv9GRe8paOfQty5zVwanDTJlkD58pCjp3vVMQGAEiVMu1N2/ebG5u1ut1YCTldYlEYmZm5traugymGUw5uKaFcy6NRqOJwzA3EhqN5oLYFh8Z85ux8fHxhYWFhYWF8fFxICa31mq100Lx6Ojo8PCwWi37Dgz+6xNuqHPyfZ200Z5RP1TCIve9DsQbDcYgc3v8CFCr1V6/fv3q1etKtYpKpLPpqdmNjY2FhQVPUhF5mIiCnyTOQPMFL18zmohBmW6m4rQLQESc85nZ2cXFRRn1DMCOb1Ct104Lhf39/aODw3q9DgwJ7SIpPfuqSUl8nvL6s6d7icbfwcsYlwnZGTAQUOB8qbVzyOiEi/UepeSGSqXy/Pnzt2/fmqYpTUKCCBAX5xfu3LkzMzMjd9MqIY1G02v6s/U8N12KbgOCQPRNlCXNANG6NzZ4XgaCfqmnp6fv3Ly1tLgCABYJGapJCLG/v//29Ztiscg5d7ovAhEZAXdjysjZ+MgBmOOZwl7vDgLLNfIrOujbxXNtPSyh8k2Fv81OfB+IwJ+afnAfFjg8mNpFCF5JMM2L5tKQ50MhO7R4hr6tgTwQ9znIyGhh6y0BVjDKWDMfKtZMIrKjlQmU/k0sy3r9+vWLFy9qtRozOAEIIgE0OT118/atuYV5p9RYsggELwARGSAQIQEDxVBqb45zc0NGME8KABGdT67Kn1f/ECzLwU39DqHr+KvJ3Nzc3dt35ubmCMESQn4/NxqNvZ3dzc3NarXKmOHWUYwDoH2nTnm3azC75JLH/0vI97mSx+RT66h2OjedlPc4dbLqaS64Pmo5Tj7pNC9FnaU7ebIZo863Xvlzz+1uavfaBIBAEN7MKGQdHty7hc9EARbYeU+QkzPVveWQm/2DocyiLrIdqFQqz5+9fP36db1e55wTABEi8rm5udu3b09PzzZTQwbMqy2S6RAghcuawPus9JeORqNpwYB9tWo0mksm6ELi7oP7a2trjDHTNAHAMAxAsbe39+LFi7OzUjNusT2/xuu4Wt0U+EJQd2vajPpUX9GjeMO6Tg7B48qh5ZhvaCCkiMPbfLRI30NyWTWYlkvVd+82Nzc3a7Ua503HujMzM7dv356bm1OD18S8QQ0ADIp1o18ZvHEIia+UzM3N3b9/f2lpCUBYliWIZNSz7e3tly9fVioVhnYT4xvGCP0JzuwbPQdnBBGdGEG8YfJCJD9tIdtMGa70CR+ECAvbd3Zaev369c7OjmlZ7lVxZLPzc7fu3J6cnCTyHxKKboA0Gs0FGchehZfW4+HniwAyqP0tTTe4yLeKqkOJM5LW799FwS7I1NTUe++9d+36GnImv6KRkRBiZ2v72ZOnp6engJwjQ+n5QYLCE9FDpuwMo1lEchxY+WkjgFrE7+jWuG4YUsvAyImK6JxLjjoybF8/xLciBfeJUhtFrYEOc1dUlmt/teozD/r0iSTgeaf1GCY6Lo0Ui44lwJIDvE4EPTnYG7hCBMLm/gBCjuvaGiKZY4k5+jXLuRel4y51Q8RIoFTAyZ+cAQmz0bDk/JezwqmwLIa26o0jm52euX379vz8vDM0bAscdAyaGIQWAabmE6nz9e6g8dELy3XPIVLKOsLs/Nz7H324vLxMRCRM6Qm+0Wi8fv36+fPn5XIVAKRq1SeXkOo8W6Ph/XN3kKdTa0Y1j6nPzl/X9bbFiaL122wdH611GxTVysRRmPZLv6WDd9SyyWHAmePoytYQEUPgUvvsP6k9Qc2eR++oUy0BHuUaEkNiRBaRRY7TRttHI9pZVAY7E1JXKoNpWla1Wt3f3z8+Pi4Wi+5ABVmCc76wsHD79s2ZmSmA5hgGOEpYW0MUEfXsKnKvRqMZeAasP6HRDBQDaRtSCY5HjY+P3717d/3atVQqIdcwxsgSe9s7z5+/PDk5UY8dguGsQXhbnV7g4FX7rlLAFpph+CCqXCUA4pjnVGV+FOpWxpicX7m5uVkoFGq1mt31Z5RIJMYncguLc8vLi5lMBgDUTrwmHiywoOmIIXlu09PTGxsbKysrCW5HPZPa1Xeb2y9fvj47OwOnYJ67fQlaPtompMtzv9HW6nEOi6nqSzHmzufA57HRFcdxZPV6fWdnb2trq1wqmabpniKVSk1OjS8szC0sLaZSKcuyYp59CPpgGo3mChmCeGfxG4LQKBIhh+tqVXMxmJPBmOMyAAJfQT4xSL938aU+AgAy2bHVtWsrKytjY2MnR6cgiAEKIfb3D1++fHl4eNioV5EbwNAXywYABJD0WAQAAAwAAUVQSOAeIQff7AtQ9nEfrnJ98gD/np2WZefYZtrMkw7znSsecV5u/Gg1KlGSohbx12KeIuQZQyc3HXwLbtQzAjuYne3FCoiIpJueqHMRIUOGKOcCkHA2q/sIRxzEwCNnI2Xmo/cUzg5kG56I7Dxpd8HRvQsLEQG4aZpv37599vxJqVzkBiMUCEgCJybHb968ubK0nEqlwP0AAEJEAQAyXTcnIwCGzILpOFsNIf1eDWp6iCBAIISxsbHrN24sLi5ms9lqtQrSTmRZOzs7r169Oj7KCxJEZEcEJwZOHYKA5LiHl+VIbX2iZH0CiCmHNPf3/mRXUzbD6+F2+6ucr0y1biaCfenztV/nJ2gjwcDK1u9LjXbXXONKz9wTkSsItbWo4J3DKNcoadoPwREo2dPQXG9ZJGRmEyjVrwAAFiAwYEDQqJmvX7568/p1tVpljCEjEsAYm5meunnz5sLCQtKwx+ds31uA7r3Y56Vm02iPr8R4GhqNRhOK7pZpNL3AZxUa4IIWnEufyWQWFhaWl5cnJsbc9cVq+eDgYGdnZ29vr16vq16KACK00OcdjuunpzkIeiMPV//wRCCwXdsxT19eikfTg8nFkTlferB+9vRFqVQyDMNVOU1NTW1sbKysLLnhin0jxl25Bo1mWHGLkiwsExMTC4uLS0tLuVzOLXqlcung4GBne/vg4KDRaEi/LZ6aIXah882Dtj+z1SlMmgEkpK6P/SpD/QR1fAEe83+zY+DmybbJ1uv1ly9fv37x0qzVDaM5kD8/O3f/7r3FxUXXXVGnV6gztUajOQdX/83QY1p9xSEwnxcMjaZ7/h3ieKgZAHcSbr9EzreXy7MzM+89eLC8ukIoTGERAiKzBLx+/frJkydnZ2ecGaGf6ESuxxahdqp8zh0t1fEwAAWc2oQIXdCzeL4oHrHigHg2hL8+8gIAvfSPFsxprWPcqMtxvFd0RtQzdN9oQEGGQTFR4GrkUCwicnt/JTd60nF8DwG4XXMEYHJ/1VuQ9+3Yz6XZ+SamvDg3CDe8ff3u6ZMnxWJRFgshBAicnpq6f3djdW2ZI1NHdgEYEnHvN7D0eUQROXxUicqlKq3z5MBZbC9IlNeY4HPo9ydjlwi0BacAAMAWF5cfPHgwPz8vhGlZFiIyZPV6/fnz58+fPnOjnjkT0AiRpBsyCDMVkTfqmYs3yEJgQVlxRWXT9XjY0f4qUf6GLt7xiF9mu9DJaUasQ09/wPde/GucH9JVnO0wzuP5jlwvck4MVumZyFbiELquf5hPOuQ2EESWzL1OzwaE7ZzOktW+G3kTEeVG23OWkkURERAajcaLFy+ePH9WrlU550BMWECE0rn7wsJCW/OQTDm89xXxW38BaTSaKPr6A1Wj0Vw5of2Subm5Dz/8cG1tDQAsywIAGZLm1atXP/30y9nZGaJtYHK7d+f4UiEMl5drRhsGwNTYRu27zgGhgT0LAEG6FFV3g7CBX/nz9PR0e3t7a2urVqvJ7M0YMwxjdnb23v0N6XlXUF9/k2s0fYvrmhoAlpeXP/7444WFBSGEZTUILMZYrVZ79uzZ48dPq+UKAiJi09FvWIH1+SCLMw1NM3zEkd6goj9tEWLVnU2vNhbeEzEWz+7iuyohBBHl86ebm5t7e3uNRsP1W5RKJBeWFu/evSuDJMRxfhd1y9okpNFoOmJk7UTN8Q0MxNbp//E3zeAwTHlJ2EIIorn5xU9/9dn16+sAQgiTiAyOjXr15fNXP//88+npqTxARqSSXStlJI5A2KXNjlATQK2Y3Ngi0EL91zNZYHDEMvpUrd81ix34qtM80zqmXleJ/Zxb79jp+LyUErljvMpYrmL9EUiEzuCtG4PGkjojOWIsA5gJsFynRTIpIQQqCSISNL0aMcYYEZ2dnW1tbR0cHFSKJcuyGGOcc855NpNanF+4dXtjYXEZmPPhyuz7sz1TqCYqjPzM0Ci0zdVtozINIvFLsaoHVO89+BxcTUqftkSyRPimKq+srHz6N79aXl2xLEt67WUcqpX648ePf/7550qlAraMyNYfIXJP1Cr0n8KtNJCay477uaYXPF9p7A+9eVAi5NvaUc6/eHsRR7PW5fymBq1ze+xx3o6U8chWwNacAqCjP3XWyFEHi8hCEkhCAFlSZuQ9QfMyEKV+zWmYBIBgdjqIwqN4tZWrAkmgG90VAOzYmmBHOpPjEIeHh6VSSQiBHBiHRJJnsqmVlZXbG3dmZ2cty1LtRFFz2eRKKZ6KdLwVcMak0Wg0PoagX6XRaC4P+VE9MTFx586d9fX18fFxzjmAkB2dnZ2dFy9eHeztm5ZpWQ13zlpUUhD4TvbppdWA5d2+lUsi6EFjsLnqTiVRKzFAeEjgaKOMX5+Pwpmq1oQhA0Hb29vPnjw9OTwyTVMaQIkom82ura2trq7Ozs7K3C6EiDIDNQN4e0MBthi+1mhGBLXICCFmZ2fv3LmzsrKSy+Wk2y/Oeb1ef/d269WrVwcHB4KEEKL1fNWQ8j7wRa1PjX19y7nbq5i+7dS5zBAjgzUDGihOixgy0zTfvdl89uxZoVCQGm3ZTEyMjV9fv7aysjI9PS3XuLk6fua/6kZbo9EMKiNlJwqfKU0gCIR3fHs4RiY1F6G7o2Ei8DcweSzUtGEYxsLCwtrq6sry8vj4OBFZJCwShdPizs7O27dvd7e3ao06cgYMg0O77oe0PW9fkHRR0fw3MFDWptPWAwcSFPhrdypFpei1Dan3EsNU1Coa42URkf/dKVre1UE/5apOM+h/p6NRerVz7EwXa/awm2D4lRNZ7ho5xovEQNgyH7IA5KAuMVdDFEyYiF69eP3w+4f5fJ5zbs+pBD41NfX+++/fvn1Tfsr65iBEDfb6nlunI+SXRRz/I707Y1vPJm39sAwi8duFOP7I1DX92eIIcHy1uMhSk0gkFpeX1tbWlpYWsukMOd6sC4XCzs7Omzdv9vf3TdOU5c71PSRbIulrxk0t6txBj0VqreXxgNN3QqMor0PqclQO6ZrPoIizR13nhc4Y0z9R+LFt9yACIvXJyK6I6tXI1QER2T0WJPuOZCsh/d+5occcQSsJIHf+IxFZhMLxqwUoAAUDjgBm3Xry5MnPPz6sFEucI4CQkdHm5+c/+OC99fVVABG0MUXekNKyhGzto1ZGo9H0NX3Yb9BoNH1EqIEGERlja2trH3zwgXQhIWfXW8I6Ozt78eLFixcvyuVylJ4oSknkX6P04wddidNJ4K1+j5HXuzfR6qPOJzSLlx/c/BP8JgymQNJ4JFBxYm3TqJlvXr756aef8vk8cCbzqmVZ05NTH3300cbGhv292u4ty+/hgGJJo9H4yWQy69evvffeezOzU0KYsokRQhQKhadPn798+VIG1lQPkQ0TBOZ4tlZ5jICgr39bkx7RnEl4XuJU0fHlaUT2XGYOiIL8mwCq1erzJ08fPXp0dnbGOZe+t4hofn72k199ev36dXWwBGK3gIPecdJoNFfLyDUeDk1lR5h/Io0miuEYtY6LO9KrzpRBRFlellfWPv/t769fXwfHm7VhMNM0nz15/vDhz6VSBYE7MUSa+HyLqmcBp1sT/N62o+HEiUfWJeygJSEIABFdYzgVC9oudXyTjCJMCVHeRi6HKJ8m4cR/8uqbiqPJCp2j56pyyMkqboQaewePHkFRdVHI83SPtb0dOX12ch1GoAAUCByo6TClUCi8evXq2bNnhWIBkRhjwNDgODs7++GHH968fYdz3rBMGVpNqpOCNYX8ZHXvS/Wy1NFT7T2XX8vF0SP0PKZS33C+5z+Iz8F/ta7vXgAQQty4ceM3v/nNwuKiEEIIE1AYCVar1H/55ZfHjx/X6yaolYajXZXO6V1lh1o/qIoPlTaf08HCeWXFtdP3GxQZBVOLUh51elU9zHs+/0T2ymjNb2BJOcC3BgBAuB7rnCbGnllMrvKUyCKPqsjVFkkEOPJUJT6aXBaEduUPliATUMhk7VOTBQCFQuHFixfPnz8vl8sySzMkg/GFpcWPP/54fX3VjS3r5nM30/pG1JpNp6LdbpNh9SeQRqMJY4D6E50yxLem0Vw9gsTy8vJnn/3qxo0biQSXnUvpQuLJkye//PTorHAaJx01cNXQ04mqSBMO2TMWAeIN+XqODewv++5E6DYZalaU47o7W7sPH/789u3bs7Ozer0OABaJVCq1urp67dq1pZXliYnxpgdr73V6TqR9V2s00QSrxxs3bnz22W9WV1elL3lE5JyXSqVHjx49efKkVCpRmPex4HxP34TQXt5EH9KpXWmQOs9+W3znKYRW1I7pB5SABu2fS8j4ViAryhlt7taEkSKid282f/7x4ebmZqlUkkNuAJDL5dbW1q5fv760tJQbHwOAOJHONBqNposYV30BPYV5G5FgDcsi1ms0rZ1iROWlKETEPlHr+wUkQEAEIEGq5EcIi4impiff++D9W7duTU1Nmeax9GbdaDRev369uDh/dHQgrIZFxDgjIcAr0ralQco3PwAhoutmormPeyWXYGSRV4jN94KejQIAMLDei/o2BQDIUF0QJpZR1sTPA53mGaFMZOtVXeeRjNnPsLkIzooYnpnITc2Nbib9LMi5Wq7knsl/GSNwHFpJp0V2Cor8jZwxVWYP4QZjGyNKDxUEKBDkbhYiCmAk8MmTZ3/613/b3txCJBkZRwhzfHzm3r2Ne/c2JibGAAEJwD0FEQBwhuBG50E7ZFvzIXl/hqM8yVGCxVgWwYIW2GcQOUfpbntsPz8TWUacOWJglx0AEEIgscX5hQ8++vDatRtjY9lKqQoAjLFypfL8+fNbT28cHR1cu3ZNAHFsThT1Laj1gDyL28qIZrg0T+XcusBdbqE89zsVYWUnqv6PmuksAvu0CD4YpQfsbfYLph6iKoLIVc6UQ+ZqnMlWEiGimriwnRYFT6d0UeTleARrdt623HUCpCBKgJPrTFM8fPjw3//0p+OjIxkLQQbudJzf3c7lcghcuuZDRJJ9IZS9C0JEu92MkStReUSenDxyrYxGo4lFP3cgNBpNXyClzmFdapbL5W7evPnRRx/Nzc3JiK1CiGq1enR09OLFi7dv39br9bZROZiyHLXb4CpxQscYL/0q4lT1vZ1tdJ6RXtf6o8jsQ59ecxZAcBN6bEzuzt7owgJAuEPHrudsDlir1Z4/f/7111/v7G3L9RYJ0zSz2eyHH374/vvvZzIZAlIV/iqhH6LBn5rO0QM8w4mvmE9OTt7euPPee+9NTE2aZl2W3Gq1ur+//+LZ8613m5ZlhTrC00Xschm88hjRoDS9Uztr/KNcbdOM2MbA6exIR1py50qp/Pjnx998883R0RFjjBgCgGVZU1NTn3768d27dxOJBIF/XEFnb41GcwkMt56obbs1eA3baNDvKhvv2Fqc62ytTupf3LEyBh4n024fRQi4fvPWb3//xfFxfm9vj8jinDODlyrVX355vLy8/JuJyVwuR5ZQ58wDAAhCJh3EABExZ/YZKYkzQKCmjeAyOkbumcM3MuhsPDkiHftGRIxkgqKJTvNM/P27lBs7nQumvFmpHJLLPjci7k/Xnae7IMAClN6IHBgKouYT83q/kj89o6/SQiQ3ugPMRLV67fBg7/nzp48f/1Iul4EzBAREzhPT07MffPDBxr27RiJlmc1ra6YGiIgiLN+G9vhV+YOdx67gQyCoILhMQiVC4Cj7WuT/fq9IY3OR0j2I/RmlTXEyPSIKsBydIGeM3bt37/PPf5fPnx4fHwuwOEPOefH07IcfHs7Ozk9OTmbSGWGZKMCRCoHjQ48REbP1GyjVggACgNund4pn/PblcgvluTN2zGIilH87zUtBhVGnOuvzYLugit4h6JIodJP0CiRHwJSVnghhTp3MpEq0GW5MXoPdXjDH91DI6Ul9Skor4yZeq9f29/cfP3v85OlT0zSJISIKYRoGW1iY+/Djj27evIlIpmnaKbgyWwFg95EImKKGU+KBOJ6Jwp+WtjNpNJq2DE3vKsgg9pk0mj7F99HuDMSBsODWrVtffvnl9evXpTMXOfusVCp9//33P/74U7Vald0U/yx9tN1DqsN0Pl9FLXxMaAaOKLWS+9KJKBh4SPV67hv+VTVErd2R+NRGUVtVOOcG41vvNr/6y1/fvHpRqZbqlilFQ8lkcmVp+eb1G2vX1mdmZhhjlmVZREKx9YTPZ/Euu7v5rifOw9Rohh7bmy9jDx48+OKLL5aWllwXwpzzk5OT77759vHjx5ZlufWGNPdgIHRmaMqt14wew9BnjvkWg9mj2ZQIlAHpgzv7JKu+KY3qSl+L0zQwKUkljAQAvHz+4q9//evW23flcrkhLOl/PZvNrq2tXb95Y21tbXJyEhzPRKEXoCbu20Gj0WguyHDriVoQ3zNR/2tbNP3MMOScsIDijIgsEAAwPzf/4Qcf37p1a3p6+vT0VABxjpVK6cmTZ2traycnJ2ura7L77glqhmgP4bbr2Tlnl/0kOfrXL6Uy2CNT5/+3u7NOfVpdRDtwNd8A7hNo3XVt3bWVY7yqPagpKZJ+RgAB0B3jlXoEAFth5HgsAgBQvU0j+j1P26dDAAAGKBDfvHr9H3/609s3mwiccyG765lM5vbtmw8e3JubmTcMw7QaRMSks61obYJvDQVGp93ztnxUl8Pl+7iJ48ckqiyc41wXTOFyiH+dl6Hj6AWqLqO5kgiQAZAAEsLiyNZX12of19avXxvPZU1TCAGIeFosPXry9M7dJ2dnZzMzM0gMGBERs/2RISFDJ04iAABzZw8xrz1aIAEgv5Q77jfUMGfgdWbnI5jHopREvc17SOFCy9b1pldJZDcG7hoBROC0MhETzNS8KuXVFFDDETAi24+hezL3jB4Tj/RbZ4nnT5/95d//Y29vzzAM4QTEHBsbu3v37t2796empjjnsrsVqkK9uH2zP/xtaTSaPkUXV41G0yHM98ULuVzu7t27n3766czMjGmaRGSa4uTkZHNz++XzF7t7u5ZlcW53xF0ZRYtIZ0HxUa/u5eq5/BjkVwC2bGxUAY6LTy4UVA8FVUISdejVl5FcwxD5/ROFDMMK09rZ2nr48OHu7i4ASB8ojUYjmUy+98H7H3z0YTabDb2X1smqWz0HQgyj6TAz/KVA0xbfF7W7MDU19eDBgw8//DCXy0gvRfV6/fDwcGtr6/nz54eHx4JI9VLUWlLk+2KHdkV1BOjWt0C/f1O0UhLFywChjU5o+upuodEwrYb59vXrnx4+PDo6As6kx6JGozY2NvbJJ588ePAgkUgJIVR1ajAahkaj0fSOfq/Te4b6bRY/DuhIfNFpNCq+b1fXWa8rzUYERNzYuPf733+5tLTEAAmYZVm1Wm1/f//hw4cvnj2vmw1mz0oDJI9owq+zQDu+lTKqp5Y74Yx5srCtV4/0ioEdDNCF1j/uPYqIv27Rc9/V/w97//0dt7KsiYIRmUB5em8kOokiRXlt2e2Pue/c292vX/e8N7N61qz583qt131n5vXt7tunj7nnnO3kvUTRSKL3vrwBMuaHBFAooKpYFEmpSOJbe3GXYBMJICMR8cUX9pksK+wZMqP91jbWfSci8zcjQqkASgKBWIHDyPW0yCUg8vmMRuYaOnMn8410OSURMZvNrq2tzc8tzk7PRaNRuZAjU7lSX19/7ty5s+cGVb8vnckR6PbayXuau9s3tt+GvTw/h4fDe+oqRyXW+ePaVl3jRjFU7yh3GDCU4NEoSQYA8q2Xr7LfF7x48eKtW7eampqICJGEENlsdnl59dWrN1MzH3SRM/1Ezr4yxgQDhkSxKU9j4fj38G4o9bxV0jNsLxPpA0b50dJtcYzfKAiFAMoXSZA60za16b3Cbgsc1s2epCbnP9lsdnV1dXZ2dm5uLplMIhIw4gh+1dfc3Hz+/Pn+/n7OeVbLkdTXMo6bb6GbYWSyrQtGbEKjGXk7a+uTz2drvDfOg4cjgBPrJyqOMpEBDx4KcVIsnFsyBmxOIgDQdULE8+fPf/PNN6dOnbJEJRRF2dnavnfv3vPnzw0VRhvs+iweCnFSHi2QQy7IkvR5KYeiRDNZIOYjT+Ea2N3kI2utVCZaW1l9/vTp9NSUpmmIKDMCOOfNzc2nu0/19PS0trYqqmqPEhd9mB3iEY5Vjl1O0I334KEYir77RKCq6pXL17766puWlha5AWOMc766uvrTTz+NjY0BY5XT8TzTczj4bK6iSlCUSVRqVfnj2G0HlDUx7h0BQFEUzvnC3PyzJ08W5xd0XbdEtXw+X2tb8+nTp0/39jQ3N1ss7DJX4YD3bHvw4OEAUb1jehVgrxEVDweFqp5tAECJXP0T+oQIAYi8vqFu8Ny5s2fPdnV1Bfwqkc45xpOxN2/evn79en19HUAQESIaETx7jVgCBih5Hw5uiNzYVuuKu1g2n/NpwRL/VYYKnxnHNsz1356OVnlLDp1nVBjnt85qTq8ZWoHQSlD4/OR7xnEWR4qBOz+FI2OMLS8sP3n0dGZmBgC4gpK/oKpqX1/P+fNDbW0dAZ+fMwbWvubzbD/+XufrRX2ynwPVMJpV/l67tyzffve7U82oZB5ytK4oD4vrZ72hhi0olIHXdaFw3t7Wcv7CSH//mebmZp/PByAY51tbW69evRofH9/Z2pLuZkKjH0r0hfVtn1cHkwwmPKESRZXgs48Gu6O8pXAPyEQIkKep2jlEu47b0kNkbCYKanE4HUaFbNP88QVNT08/fvhkcXGZMcYYQ+RCiEAgcGZgcHDoXFNLM1cYMmaey3w4URDoyEwPVxEbWv2jQakxrRrsjgcPEt7TaKBqx5HPA4cn3vPKe/Bgh0UC4uZU3v6OBAKBy5cv37lzp7GxMZvNElEul9vY2JiZmRl9/Wpufo6IFEVxfANUUp7Gvv0xwsHO5A72aIdrICWHyIr/5z2DREIIh/pDfi9X+Rj7KvvGdsaQYxswNaStDYpUqCFYWV5++vTp3NycThpyjog5XVNVVSa/1NXV6Xp+36JNcrffzaGzr2UAvBqyzTx4qA4UfNsjEkBNTc21a9euX78eDAZzuRwyymQyKysr7969Gx0dXV1dlaxDx0tX+bk8lMBx+FKwj//SyrgpP9aWRf9pbW83HxWe134Q+Xd+dvbZs2crKyuACJwBgJ4TkVDo2rVr165d8/v9QuTr95VvYalVeTYrFKkl6sGDBw+7wqt3Zv0tVeHl09Vx8HA0cbJczkgycKczAEA5I5eZO1xRlPMjF7e2o+/evVtYWEBEIUQul1lYWHj06FFtbW1zc2s+NQBF0WmL8dFuo+XI2iKFU6Wj+yYWHW0cxZ4ca1mx5Yfx1B1KLZIyhawQCkLAcoJbtOCXTPticoJudxhRfsdCFKloabmHgIyqNPkkF1lHDwUiplKp7c2t6enp+ZnZnZ0tpnDGGCELBYLNzc3nz18YHh4JhQKaliUkAkLidl9nqe/SUllpCIgVc6aOLzxrWwnsoorHAXYqhLvMlPuVCQUjV69e39rampqa2tjYQAJN1zVNm52eefTgYSRc21DfxBnXdb3UEQqOX1jqiUj3KEUmHPZon+bmsKpc2auLgvkbnb/MjQtjwJbfhIgMyo+kFKEAs1ambDkCGtuS84m1HwcsSySkIeAg+UTmkREEYwxQpJLx1aXVmanp2dnZWCzGFEQiRAiFAm1tbRcuXDh79qxf9Wm5HBCBIU7EwFa1s3hvFFsrTUzR7asPx2RY8+DhOMF7LT148FApDP4FFanJqutCUZRz587dunWrt7e/pqZGURQAUFV1bW3tb3/54dmzF9l0BooF6xywr62QanSUsZ9kMTuqmWe+Z7jJQdZv2C2aWgqWOK719DqOzBjzKerG2vqDe/dGR0czmZS5CjnnHR0dQ0ND/f39bR3tgUDASj2wK6o4vksrl4o4KhP5Tw6P+10UJ65PdCBdJ7/ff/Xq1du3b3d0dPj9fvl+KYoyOzv75z//eXR01JKMsb969t/lOSDH3dZ8NI6qZbFPKkpIXxEAkEC7pSh1nDLHtzawGxQ7a4lMZSJFURYWFn7+8ad3797pug6IAoCI/H5/d3e3YWLa2lRVtVU6c/a/YwLmMEOwF9PjwYMHD2VwVEf/A8WJm3JVPar/28AuCmNH9bf8IGEX8ZVzGr9fPXXq1MWLF4eGzgcCAV3XGWPxeHzy/buxsbGpqalEMgEAVKzGGaErFEYFGUmHfj2fDqVqSO2pttRHq7dUss2BeZ3KHMV9T+01j6DE7FwucZQZhsJaabKWTeFuhYVsUNin1IACUDBAIcTK0tLjh48+TE5ktBxyRohCCJ+inj179osvvujs7lJVzphCUHBAgULYznik8pfdT90hPg+uUx/GWY6Hz9Q9DhyP6yqOAqUVm+aLQBAIjEDXdUVlwVBgYODsyMhIX1+fqnIhNESKbsfGxibGxkfn5mdS6RTkX7p8HxZ2ZX45EkNixrBD+meq7idc/3167Ofsh1eXcHc4qndZv8hWExOk48Zd3cxqtk2fiAyWdJHW2lXwzPhDXkhRPrcEjIAVGC8UkqZERLqmzU3PPH7wcH5mXtdzjAMiFwICgcDIyMjlq1fb2toYY8iZobhEDIjpRAIAGAIrcHo6m1eUtbpn5cTDwyezLB48eDgYeO8neJ3g4aPgPTYGHKorPp/v9u3b3377bX19fTabFULoup5IpKamZu7du/fu3Tsi4pw7GCJuWNE5xw8PxwllQriltpc/ShHNyjxOxqQeQJBm38yKNuu6nojF52fnnj9//mFmWggBjEm5k0AgcOXKlW+++aapqSmX0zVdL0MdcrPtHO+IF+z14KEM0CiaaVAkHK9PJBL56qtvbt26JVWKACCna7FYbHJ84t69e7Ozs5xz08SwPb1o3lt5dOHwg+zKGquQWVaGSVRwdps9cjCYrA0AIJfL7ezsTE3NvHz5cmlpiRCAMblvJBK5efPml19+GYqEc7pGVpa0zDhDXsrieBwiDx48HB5O+LduJXUBPG+3hzIo+mwcZ1ZReaKEEODz+YaGh69dv97d3R0Ohxlj0lU0Nzf300+/vB0dz+VyCPkKI8UjYDYmkax7VZQ0fsg4vKoc7ppl5Wu3lYrC7bUm1OcZ69yRzIL7CwCWs8a13GgZAaOC2jGyQJ4dAkgUSkUYlYzIEIyQWxUlKDHGVFWNx+OvXr169erN8vJqMpnUyThXc3PjmTP9Q0NDPX29oVDIUj8Bm0uIEWPEAIAxZh12l34pRLXGew/7dLtusOsYu9f38aiMz+XvRSk24nGA5JYSFeSZMkQSSAShcPjKlSvXrl1ra2mX2WdEpGnahw/TP/3w8/T0tK7rJND+mQ3Orsz3rQBdgC5ZRYXG6LD7szx/x80wOuz2uO2R/b+jxwSxxn/LUhQwcQyOj9mlKIlrH9vDkkkkuUvyyCaHCACAGGeqqqrbm1svn70cG327sr6WSCd0QiLkHDvaWs6ePTs0NNR9usfvD2o5YfGbZEE2DsiooLfldTFAh6JfKRtaTaj2J8eDBw8WvHfVgwcPlcL6Ki4VudJ1XVGUjo624eHh4eHh7u5un88HAIrCVlZWfvnllzevX+/s7Ag5i3cRLtzncsNjFR0nuO9yJfHbogJDRY+M5KQgFSUiMcYY4NrK6r/86U+PHj3K5XKK6gfGhBCKopw7e/bLL7/s6+sLBoOcc+toRXlDZS7NgwcPlcD+ciEio7wIva6LQCAwcKb/woUL/WcGWlpaOOeMMcb5zMzMTz/99Pbt23g8DgAI3FH7bNeTWr89K3P0QOXKARS/obY05KK7uGlBRWGn9hQ9ESJyBRljC3Nzf/yff3jz8pUQgquKjKIFfL4LFy7cuXOnq6srEAhYkQZElL/LUFPdzfNYRR487Bv2IlcnHSfQT2T3ZB+f+JuHasWnjwp+QtgjZgBg5ggAQGtr6927X928eTMUCOayGQCRyaTW19fHxsaePHmytLDAFeRKOU8QEdmrWZkqA0e9J/caSat8+/30xqfgJuyVL+NODZOQTCK3/kiRM1LBjkIIQKGLHBRy9RVF0bK5tZXVyfHxN69ez83NZHM5xhgiVxSlJhweHh6+detWV9cpRF7sM8Cc1rM896HMTL1gik9m0Tfa5TvncFD5Xf6U75r7md//2Y8W+6YMx0TCMYdxs6uq+eqccDMgrCWIyM1hQ5jCZJwjAHSf6vn6628vXbrEGMtm0wgilUqtrKyMvn7z7MnTtfUVriBnSt4XQAyhXDkzMy+VATBX4bPq6c/Da0nlelh2ztGnBmGlw6ShIlSodqebPFO7IFF5x0pBiKIYW8eufGQtsT/DjEMmlV6cXxgbfTP2ZnR5ednSqOac19XVXbx48ebNm82tLbtckRn8sF+XXOKuE+q8N5/BvnwEquQt8+DBgwHlczfAgwcPRxiI6PhwFkIIwQKBwNdff53JZJ4/fba8sggAnHNE/PDhw//8/R+DwWBXV1fRcq2SKJ7nfZhhOiz8cezw0bWHy+91JCMBSGBlkCGiVVkMjIJlxcWJCh4MdIZ2iUgIYXflgBl6Vbmys7X98vnzp4+fzM/P78SiqqoCZ4yxoD/U3t5+/vz5a9euBUJhTdPkXs6MN9NJ5G5J+dhv9UEc0WfmKLe8chz7CywAYyDV6u3vOyJqusYYa2ho+M1vfpNKxF+/fLW1tQUAUpNodHT0D3/4Q7gm0traijIJCGy8P4ZW+KHqX0YPBwDDcW/7XYryAzYXPxbu7tiSTPNk2ZhSUQ0AYIwpirK6vPLqyZOXz54vLS0lEgmmKtL0KKFQZ2fnhUuXLl25zDmXeluF+XFota3UQ+tYSAgIyI6CW8iDh6oEOxkziopwjHthb3F4Geveq6iqh8PBUcleLq/5Uj6rv3rik5UjzwgxSn64KNACmUCmaUJV/e0dXefOnbt06VJPTw9jSk7XAGBpaenJ48dv34wtLy9rugaMkWvek4/+oW3KJQgESa0iAt1czg4nfl5O/cTshY9jKDiObAcrdt5d1SvKoCjpoMwu9rUf8w7mi9OV3czB8XHUOTJPb06UQSfQkRGgsFc0M86I3JKqlVVm7KcwahgBE1Q0QUwACNKFpmkbK8tPHj18+ex5LBZDREIkPUd67lRPz5dff3323LlwuIabBWis1iMAkx8VpZ1E9gu3NJXs0WYiIqBPUpCmQr7Avp6Bw0GF2ihl3kf79qXG7eoZk92aZe6mlt/3KMGtI2O8v0CikK+qAwkEEqhrFAwGe3p6hoaGhoeHOzo6AEAqDc3MzD1+/HRy4v32VjSn5YwsHmJAhrqZHG2K+poBBJGlPpbvSaOC1QETMvaqMWfHYfBqS70RZRT0SlrJw0aRe4FAlt+mtEaPjUTkUhGS1cQK9nUyy2RpM/dhkRiIfB60PWeNiHKZ7NLC4oNf7o2OjsZTSZ0BIei6DijOnR24ffduX19fIBBgXJXXZRkOyadDQbKepmHpzPeFAdorhBaUCgWy6rJZ/fOZBPBKPRtFn/wjNnZ58HDs4fGJPHjw8DFARMDioTlTGBg7OjvvfvVlKpP+6aef0uk0Im5tbWUymdevX1+4NMI5b2xu5pwLTbP2lVNRQ37YPFqJwG9VTSk+mg20n6uQJy1/hE/96Vu5k8hgjdlXFbvP5cP+7u89woJGFE7cCyO9gDlNi27vfHj3/smTJ5OTkzqQqqrAGAD4fMr5kaFf/epXvb39OV2TMrfkijkXdRK524yYz5eQv0t8qX5eCC+SVq34aMrh0UPBe2R3HmH+N+c8GAr295/58ssvc7nc0+fPsloOANbX1wHg9cs3g2fPnhkcaGhoAGKCBKKNl4o2j7MZliggcRQ2w4MLlZieTw2LdAxgo5SyvRS8c47HBpW1/EAtXf3WqY3gGQEAMMBMOhPbiX6YmHz69On09DQwrqoqIRJiMBi8cuXKr371q7aO9kxWs0fdipJSK6emWilvlV65Bw8ePBTDsfcTSTNmn105zFvBhLi0PbAfp7pMo4fqxvGZ2Uu5IPtECgnAYmAb74WcJ0kdAKWpqenrr79NJBLj4+NSW5QAcrncq1evGv5Hg98XvN3aioAIHAkIBdjeLkIAWRGZGJqJAyT7s6Dwx+G9j+7Rw41Sa8uPFaX2KnXG8tuXP04lV3EwKBBosC2XAVhj5krGloYYSGnYnTIGvcjwSwqw8gggr1ObXyIIkHQiZkzckYgIdOsjUx6ZI/f7A6nY2uP79+799PPa8kpGy3FVEQSk601NDadPnz5//nx/f39dQz3YvgGsMxIwyUW1Dmv8IADz+ySvKAEAtoQF97z/8LErAQcKLWP5fQ8W7me1Eu9n+XGg1NGOih0vStzYFUfl6orDIPvYjAoBMIZC2F3MjEhoBD6A9q7O737162g0OvFuMpVKgSAAkUzGnzx+WBMJhUL/a1NjEzEgQgGCIbO7iiTQdXZjhDHSlZhjm8OBe5Su3PpUsmUlz0Ops7vnz+7DVvJ8HuQzaY72ziUWDBkjV5IwADBpEVw31ZK9K/EVkO9ti68qiEAwIgAURGTMTNBYyxnz+Xzrq2v3fvzp4b1fNje3c4I4B12QgtjW0nLmTP/IyEhfX18oUoMlyiwYMkZSWkuuQWG/LLT9w3G5nzu58vjMfj14OLE49n6iPcALInnwcCCQr1I2mwsGgyMjI+vr6/d/uReLxaLRuMI55/z9+/e5XK5/YGD4wnBtbb25G5MM8LJztWqGx8LYA1Cy6V3CCmD7SrSmzqVISu6HxK1AYS2xu2YYY0Cg57TV5ZV7P/388OHDZDLpC/hB3kXGuru7b968eX74QmNzi6rybFZzGAgiQpR8BwQrI6BwXu4IDuedRICfewbv4Wi9rSeITOQGmeQIso0YQoi0gPr6+utffDE/P3v//v1sNptKpVRVRcTR0VFd14fOn+s/MxDwhxDR8BcTSbqr7eCF7yyYzlwUANx7T0uj6l6fvAe/XGqhuarQqNhqI9hhvXRFDIqlTISIoqiMEZGWzS3Nzf/417+8evUql8v5fD5CQCFUVe3v77958+bA2bP1jY0AkM1p4LJoRcMJRahG3lPqwYOHw0HVDfSfHBXmh5fSmvHgQcKtNVBeWaaa1TGKo2ilDwAAFMgIkQAEB2JkXIVGQup+9fT2/pt/+7/dufMlImYyGURKp5MrKysP7t//y5/+srK4pCiMcUNFwplDZEvzISIkhsSMPHzSLS0JM6Ho8FSKSi2xoyhfw6EfUV7NqpJM/kp+Vw7m+m+/QHCK7TBAh5KCsaW9eovds2PbxtL0sXYxfS6GjkM+WwSFAB3B0Juw61AQ6AhcBnvlifx+P5E+Nvr6wS/3pqamtrejWV1IZSKfotSEw4ODQ998892ZM4OMMSHMM9lOx5ihiIuIVh0lxhgiGjoX5tVZWkt5wYjPP613P5MH+QxUdl473Lon+3mXK1Taqurx1oVPcHc+G4paFuN9YWSQNQAUZIwAQKDp80FERVHOn7/wb//dv7904bLQKJfLEVEilZxfXPjxxx//8pe/bG9vIzdqnxVJCCUmSYFEBAKBTIUapzE6QCWgUnC/g+VnFJU/D249o/IKR5VfqX3LgxxVDCNStBaeYxsAmWrssC92GP5BQGYfyhHlErkwfwos+Kf9mALI+k+q6SEjjczEeRSAQtYyC/jUbCb16tnTxw/uz83NxWIxHQgYAmOKotTUhEdGhr/+9vtTPacBLF0+q3EckRNDKchlXawx1zLtiLQsRMbsy91/n8/KVPts1oMHDxXC4xMZcKtmfMbGePBwhGC8LMVIQLquZ3XR3Nz8/fff7+zsvHrxUssaVcnT6fSrV6/8gUBTU1NbWxvnznmknOM46CGW9EBZHC2mwMfhWPELPpo7Zqee5fk+ZqTYHZu1lpMudra3nz59+uDBg9XV1ZzQgSEQQ6KaSOT06dMjIyMXLl2J1IQzGZ0paA9NO1hCZRpWBp6VKYtj//56yKOU5HDBNi77whgTQui6DgDd3d2//e1vN9bWx8bGNrc3pFMgGo0+fPhQUZSO9q7GxgYhDDW0PEuxGCRP0DqJ+aMaBlvvpagU9gSuCo0LIuaLbJahr7rLbkh6msg/IYgIQtd1trG69vjBw6dPnmxtbWkkkDFZkq+hoaGvr2fk0sXzF0b8fn82p4OT/SQAgBEQY/IfjAr0rcHLe/DgwcMnwTH2E+0rX9rOYrBtebQz/z1UN47Wc7X7u8ABSZAA8vl8LS0tFy9e/Pbbrx88eDD5/p2maUKI2dlZRDwzMNDS2tTT0xMMR4gAdakyKgAAkAMQoSAgk5QhlSM4gKFnZGgJF2ne/vvTqftAtnPZf7tOXRR7Xb4rmOuH45ifRsXJCXvPmPesgCsE5gArdSLAnKOjWf13NzAAQ12iwJNYOowMALJMDQJTVVXTsqurq5Nvx169eDk+PplIJBljwFDXdU3TOrq6fv3b3169fsPv9wMA485j5jNf0PLWicK+RqDiYW2rB9huzs5Dw+f94q3kOdyrD7SUMpEd9jei1PGPxAgs3ONSic3giFxRASz9Xbvb18rYtMZeRGQkpF4ZEYXC4e7u7mvXrk1NTT19/mRhYUEIoWnZqakpn883ODgYjgR7e3t9/gDoXKqV2XiI8phk03kx+s01A5Q4qn170Nirat7Bo7QVdupIGIp4YNgdcDmDpGCR8TCgjeFjPIHMdkJzF6uOh+kkkj4jn8Kz2ezKwuLY2zcvX76cfPcumckiVxhjmUwGEQcGBv7u7/5u5PxFRfHZvT/5HwCC8m5NeS4O1kshqa9G2yQNtqC14HZnfRpUgzvVgwcPB4lj7Cc6AHghXw/7wK46rEd6orn7t1z+Ex3R7/f39fV9//2v0+n0ysrKTiwq470zMzOPHz9uaKgLBAJ9vREBxOx8791YfuicIh4rls3xQ177w4zNoplAUqp2nhv2zYQQjiXGiUooU8jlmVT6/eS7Z0+evn//fnNzExWOnAkAVVVramoGBwdv377d0ztAwHSTg2DtXng84Ti48ZeK6F8UXPVncxIdFRz4i+w44BEdKI5imz8SDgafXdLLMiuW3hDnPFJTM3R++LuN7xKp+MbGRjqdJqKdnZ3p6el79+6FQqFQKHTq1ClCgQikM7dBISLMJ/JgCf/DZwGr2D/oAaDY+E9EOhHfbT6PZHh/0DiIXMyg2GBuHdl6IK0nKplIjI+Pv3z6cnp6emcnxvwqY0wA+AKB2kjk/PnzN2/fbu/s0IWgEnnoDEHmXAogYIgEuumsKs8q+nyfLd6T6cHDMcQJ9BO5x7IiCS/g/PbwIkifEkextyuxkY7rOqKuIkn7IAAmo12W6iciWNWf7JMVIURWQEtLy607t9fX1ycnJ6empuLJBOeoadlHjx5ks+mWlpampqZwOMy4KoQ18SrsVUGyYLmUJZKiMAQ6ALN9eBti2HuBnTEkq9u4mTh57pLRC6617u0/dmbv4D6UOVo1MgtKTVFlERh7wS+jDpqpKmrN4wtqouX3NWDM44kDAJrCJfljkgAAEvmMA+N7EoExRiQ0Td/a2Hj68NHPP/y4sbrGVAUYCgBN01pb2y9evHjti+ttHe3hcEDTiGxHN/Mr5ZPAAQxRIoEAwKVeEgMhPUGOumbWXbAL6H4SlL/75Xmyn/e7dD8dVfSKWNm1RwL7H1uOKhgSAQkgApLjszQxiGhln50+fZp/9+3S0tLU++nV1dVMJqOqaiqVunfvga7rHR0dtbWRUCikqn4SBIQEeVVsY8wBuyuKwE5iRayMuXlYHVD6XNXAEPw875Rla+QIDzbb4YbDSVS03hmY/DUAAEGArq8DyW6zsWIBzIpjBMgZEWUyueXl5fu/3Ht0/0E0Gmeqgog5XSfCrq7OK1cuXbx8uaWlLRAIabpu8WELWUXcdnVkmT9hzm0cniDzqgUAMIa2R/fz4mSNUR48HEucQD/REQ0kejhyKPpVf0yevTIxK0ccWEbbhNADwVBnV/Di5Uu3P9wVQoyPjxMTQojFxUUkeHj/QX19/fDI+abG5lKHtcjYu7bhaH4EWjg+z0mFIAQg5zy+DNCsgOYOGjv+WtvLjAAtm1teXHr76vXoq9dTU1PEkKs+AYAIAV/QqHF2/nxNTR0yABRUwC9wt6PI15Ez2PuRykufDCfrSfNwnCCdREQk/9bUhAcGBq5duzY3N/fkyZO5uTlCoWna/Py8z6ecO3cuGPSPjIzUNfhNZxCzu4pKoHpekCNt1D4pPlrwzgKWThx2bmmb8HDOM6n0wtz86xev37x5M7uwqCgKV3w66JyrPp+vr6/v1q1b586dC4ZDjAHo+YOUOb712/KNliLMevDgwcPB4kT5iewBmd393IUDsadP9ClxdHu4FOMDCp+96pl6fgQo77RBRkTI7IKRCFYkyyYkSQwyWhaAnR0c+vf//n/PZrPzs7PRXA4BFUVJJFL/83/+MZZI/r8jtU2NzToQl1whMvQdwVmGlkF+/sTAOmWhukTFjK38NvmqJoXLTZ6RW6uo8ltZaswpqpxSVD+11L6lzuX+fZBAKEPGr2B3M6FLmFXD5HIrMmyHfYksjkaom42whX9NJRNHxqL8qzCe1ZPPnjz6l//5x5mZKab6CEEAE0ILhIJNLY3nhgevXr/S1zfAGNMFIGNAhEgCnJFeCQEMALg9cosIdt2lYhdeRlPjELBr9us+j7BXyDO6NJ+cHJnDOCnY3jI4yta8/OzlKNkXO/ujEjVrJvkcphC1/MsY04EAMavlhIBrX1z3+YPpdHZ+ft7Si9ne3Ppv//RfY7FYY2NzXV0DICFwIgKXq8iha2P1NuX1rd39/3mfJY+14YT9uTL04ChvX4TtUbPGGqvmJhVmHEqtIsMqGVJWAILAVMTL7wWgMNxJJe7/9ONPf/thdXVdURRgqINOhKFQqL29fWRk+Or1a+3t7QCg68SQ0FZMjYgkU1UYbQZE5CgEABESAkNmj4IgooycmUwoOReqBiaRHUdxjPXgwYOBE+Ungr1OoTxxIg8HB1b4uXK0Z3V2J6o1ZQEAlPOYIi8OSSmZhoaG8yMjX3zxxfT7D6NvX6+uryNiVstNvn/HVRnyDXadPlUTCum6sOZhRYQkTC2Y0lE1Yft7hGYqR/7ZqBCWGohEmXyBfUJ+SRLRxsbG7If3r168HBsbS6fTTFF0IiBA5PX19ZcvXrp8+XJ3d7fPpwgBgghQmDrZ+YfN/ijKebz7dIY+0ZGJ9x7RBNgKcSLephI4tnfW8SYqyDQSuq4LHdrb2xXuezs6Oj8/+2H6fXR7hzGWTqfHxyeDwfDQ0HnG2OnenmAgaJWocoxFpfiDRDqi28Xp4SjBoRxnvR52d48FS6sIXJuRdTQiIlJVVdf1tdXVibdjr1+8nJyczOpCyt7JXMbW1tarVy9fuHSxo6NDURRNE3mPT0HGmQBirITpcCsTeR8pHjx4OFScND8RfGyk/ch9bXr4xKhcNaAUQ+QoPV0ka4ZQvkYVoZwz6UagrbB2lVmqQ+h6jit4/fp1ItL/Ey399a+EoChERCsrK//lv/yXaCzxH/7Df6gNhwCAhBQwlXMtk3Sd/zgXOpFZ3UORxwdTOwZAKpWW9yLZUXxkKKyzw6zfxZhEH/dFutf7Xl1jkZsLUJQvIwCYKe9jKROVId04YHe7SIlR46kT+dMTMQCQ0qNkEvrlXj6fT2i58bHRv/zhX8ZHxzOarjMjMMsYQ8TO9o7vvvvV5ctXVVUF+UEIpg4Fmh8FlH8ajWcMRZ5SJWO5xIgAmPFQEoD5uJpPzefUjfj89Yn2yu+rDG69nlJaS+X3PVoopVXkuMsOLpV71edkV5VnEhlMUvkiWn5kRJBjCAo0tYoAQEFGhIyRLkQg5P/y67vI4R//0//5dO2pqvqZwpGLuYX5//Sf/tPOzs7/8//1H4KBYEG8AfItcStUElqeIwFGXMTuMPq8MYlStqy8jlXly93k1srfr88EVsRNXyaVjIqVyyQZRQAgoyq9MAhoRNYjK6NfiOhTlVQu+/LZ87/+y18+zMzmBBEw2V/IUeVKT8+pX/3mt+fOnQNgUmjRikAYcQUUACAQ0DymtCmStSprHyAJdHiLbE+seYNk26rsjnjw4OFo4gT6iYrjSIV/PXioFhQTfc+/TfZkImstY6zrVDcifvjwYWlpaXFxMZFKCqJoNDo6OhoMhM8OnAG43tra6vf7dF2ALS0fDC0bI+kgr/RYorjVvjKj9gxvZrY7Pi7++dGDM+ccEePR2Mry4puXr0ZfvV5ZWdFJzsRB07S6UKinp+fKlSvnzg42NTUKoeu6XlF1IRRFOVDVGt/dkxPzpJDaPBwt2A2BBfsoL9eqqjowMKDr+ruJ8c3NzfXNrUwmgwjR6Pbr16/r6uoGBgauXr/S1tqhKEzToJRKkd2KGZlu5uteVh2vSnDgb/GRGRbshTUtFHUSmfrleRjeNSssUehCko+EMKoWAAAoikJEO9vbszMzr168HB99u7W9I4A0IgTUdKpvqD3T33fp0qWBgYH6+lpNJ10XbLc0SyRmS7TPE4687xQPHjx8SpxwP1FBzKTsEHzUFQ08fF4cVQWBkpFeAJCRXqukVFmPTIH6DEAwFOroar/71Z1MJvOnP/3pzdvXnHMiPRbbmRh/+1//6f9KpuL/8K/+VSDgk4WqAECQbtWKMl1FxlyLyKAVMbMODjj9ER/DpChkEuV/V7LvXuDmAuyqPwI2R0aZOjifAu4npOjHU57eb+tQAQXfWkTlHiLzJhusLiGJAJBnFZkconw/CACfoiCJD/OzD3765dWLlyvraxkth8BlyWNdp/qG2m+/+/rm7bt1DY2I1kScmVdnY5ahsDGDBNg/PMzN7A+d9XA6syZL99IhYFc9rKLbwCd/nMqzXfZznMqZntWD8tdeOZPRfZxKerW65jmWDhoiSl4qoQAgLt8wJCKSgi7yRcsJnRjW1tX19fV98813miZ++OGvs7Ozqt9HRKlEcnR09B//8R+TyeS//jf/VlU5ETHkJIgxJkDLf5PbxiI0P9ktGlExJ9Hn1SeqZFUlHKLyd79anoryoyhat8wST8RyAlilsp4NJpH8LiBGZqYiI0ZE0uKonGmaNv3u/f1f7r19/WZjYyOj6QicMdKETkJva2n99W9/c/Xq1WAwSAQIgjEEKCj3IY8KBhWV5S8QQbFdpSQagV2TqOA5ZLt3zSHiqM5yPXjwUAYn3E/kwYOHj4SVXW+XCjJDr+BYYm1p8bSDweDQ0Hktq6+srGztbG9vb2azWSHExsbGs2fPAqFgR2fnhQsXGhsbOWe67oz3WqwisGUNVHGMl9l+HMhEirn+Hj3Im2V9l+waLK3w/pKR+Ig+zjOZzM7mxvjo22fPns3MzGUyGU3owFDTNNXvO9XVPTIycv7Chd7eXn8gIJUmrLa5n17XqZz6L25trqp5II+tVM3ecWRoER5KAW1S1uAaOhCRMaytq7t89Uoul1tdXU0mk4lUMpPJMODrq2vPnj2rr6/vaO86NzzY0tKCCLpOQghkxVlFhQrW1sIqebUrwcl65m2xIgS0aZOT4TAqI4THjMhTYTJ1McPEOWeAyWRyfW3tzavXL54+W1hYSGVzBAw4aDnNHwy0drVcuHD+/Pnz3d3dPp+PSgQPbGcqOUpbexypB8+DBw9HGyfKT+TOuM77v91mwDHtsG3v4TDwcZHP6oT7KipBecWcKgVjzKhKRkzquUivTf4zW7qHiCQbiHMuhMjlckTU3tGhKv65+cVoNPry5cvl1SVVVTVNm5tb8D16XFNTk9MyX331FVcjOugykuyeIUmlG0YyzCtsvir5w9mHZrDNreXh3BJL/N47igZ1y2xZSjfk8+pfFOlJx2QaS0QyWUFElOxLCMEoDkxMPjeOobjgphsEMiszgIAIrbHakHrQAQGIMcYVxtbWV968ev3syfOxsYlYLAHIkTMA0IReF/BfuXLp7q27PT19kUhImFLr1nmZqWEEpjq17ZJkk0yNEizwmYL8OkF7Z+R779PO8d10s12ZRFWCQ33mPwELbz/HL79X5fal1JaV73W4KE3xcHK9AQq+9kHmFpl+WYK8UhgTCADZbA4A+vr7Oefz8/OJRGJs4m02m2UcM7n08vLyo0ePfD5fNve/fPPttz6fIn3EDPN1GO3aSUImtBklsWSog7vsUZXPWJjrR5nf1Q7HKIq2kVd6eaSslSEmVWGqljC3QwBigsgkQEs1a2FoFREBCkDgqADA6srK6xcvnz9/+e7dh0Q6xbiqAxGRrufqappv3/zi5u3bnZ2doVBIiPwz7CIT5SWPAAz7Ys9ug8Lfe+iaT4GjqrPpRsEUpiQzq8rfdA8eDhInyk9UKY5apMiDh8+JAjUiU23azctwL1EUXl9ff+vWLRIimUzuxKKapuk5TdO0paWlez//oqq8rq7u3LlzdQ0NDEDXdce7aWkHWKdwrPVe5GqDc8ouiNm+x9zpi1JwpAh5TRAKZ1TYegY4V3RN29zemhgbu//LvbGxsXg8qek6UxUtpyFnjY2NA/19V69evXD5UmNjIzAk3elkdIQKCh5ga7mtyQxlvgCBIYFdJc/esacSHPsL9JCH6010ZRmbGzDGFIW1trV9/c13wDCRSqZSKRml0PXs/Pz8/V/uRULh2trI2XOD9XUNAKALjaj4m+tYXtriHMpVe6gQ7oivw+KUypAvGO0Lt7FWCZOHJKsf5HK5na3tsTejD+7df//+fTyVFITASdM0riotLS3nzp27ev368PBwbW2tJatFB1cN05veePDg4bDh+YmKw/vC/OSo+goa+8LHfcZUA5dkdzgmWAgoGAFJmhEQCkAAkf/aZxyEICCWyWQFiPPnz4dDoZmZqbW1teXl5bhI+NVAMpl88+YNcojU1gDA1atX/b4AEDNqn8nX01bThFCQjALmPyEYFI3aFbTdzar4XP1czTHe4m2wdEOgUNnBregkzO0cU3bDvVjItHcnBThvIjEhCIt8DzAgAGKIDBnF49H37949e/bs4cOHm5ubjKtMVQBAJxHxBft7+65evXrp0qWe3tMEpOu63SHlHPwlj6mIHgTknUQF/ZG/9upAJTy16kSFz7+7JJNj30//Xn+ac30cd7X8caoB5dpT4Coi461jyMy8UYFoqJhls5qiKNdvXPMH1KmpqdhOdH19nXRgCiYSsYmJiUAgoPoVALj+xU3GjApTusF+LdQgc7ZNmB/8YBMtgsN50qrX+n9eOAgf9qci79QrVvCeAeYFyW3pxtZxDFNTcC6DRCoQOCIAbG9vT05MPH789NGjJ/F4kis+FEKSiSKh8ODg4NVrly9cuNDZ3SWE0HXdfnyjnQ5FdkR7Ox1KhA7LWB1fKNVsO/aNkh3svYknAd5dNuD5iQy4WQ8ePHj4OMj3iDFmT+QBixsCun0b1c9aWlt//evfKory+9///t2H9wBCzqtmZmb+5U9/Jl3I+jV1dXWIXM63yryn5otcoBTj0JoBIwp9CBfvoTRknpqc7xa9g/aFpW5xwTb2YC8RIqqqqut6LBZ79+7dT3/724sXL3ZiUU3onCs6CSIKh8NdnV03b968e/d2Z2cn2TIL7GcpxWOy2mCfptuJBqb8RRU+W968x8ORh3uSJpfYPbz27B7OuaLw06dP//3f/33QH/jTn/60sLBAxIgol8t9+PABOaiqqqr+/oGBuroaItB1IYRg3HnqQoKhc3l1fLd72AWEANagX+hjsj88Qgh3EjQAEEOOTAgtHo2Njb796Ycf3rx5E08mdEHEmU4CACKRyKlTXXfv3v3ixrXm1pZSLXE7ico02wqxVKVl8eDBw7GF5yeCfGkbz1V0WDjJ0bDyMW139PtjKnN9FtimNfa2yZlWnvVDBluE8oIvCIwxMi80nc6qPn7rzs1gKDQzN7u1tZVIJLKQUf1KbCf69PETBhgKhQDgwoULqt+vE3LIpyoJWSXEFvtFYkSAaMR7rZYVvtesxLSs6vrZhuptW/mqZ45qMsZtQpQ8I2tfAWSLAVPxfUnyxoxi2ELkBc4NVWwhEonE3Ozci2cvf/7p3vLysqIoii8ghBBC+Hy+9vb28+eHbt784uLlywAgRD7Mm2+wWw+FCGyljBkhUJGZPRp/q2EqX14zoto4a5/SRhzXGPhBcYuqFIgIIIgKFdmZoVJEVj1EtMmJCSQiXdPD4fC3337r8/mmp2cTiUQynUJEjmx7e/vFs+c+RVW5whhcuHgZOAoUgEDFXnCwxiJCzFc/tOMwdOWq4Q09SiiVEFBgg4RFEjWeGWEoKkovEkoikm5TlrasTyyamPow/ezxs3u/PNja2lJVFbguiHRdD4ZD3d2dly5dunnz5uC5c4JA06VcUoEtq9yrWDi7MmxfFeCgNIlKvR2f56uhOvrWQzXgJH+3FsDzE+Vhjyp7oSEPh4BjqKNR1KnqViNyLLRWgRny9fv9vb29/+Zf/9uacOTPf/7zwtKi1BbVdf3du3e//+f/kU6niejs2bO1dfVIoBeqyRDkVYftyhGOU1skpsPtFA+FyNNwSte9FyVWOXz3JLWrrQMyJABGgIiocNL0ZDL5/t27H//2w+sXL7e2toQQOaETkU5CUZT6hoYbN258++3XfX19WDhfL5ULYC0U7gr3XnqyBw+fAw4TYyx1T94YkUAhhKIofr9/aGjof/t3/66+vv5vP/ywubXOfX5E1HV9YmJCMpJymjhzbrC2JgIAQtfKv+COBpQYQITth2d3PhGKO4nyWequhSV8NzoUzB8kWTUei42Ojv74ww9vX76OxWJEpJHQhE4Iik9tbW29e/ful19+2dnZKf06CAU1EErZl3KXY6VcF1vrmSEPHjwcHk6sn8jpKSxkFHtjrodDQlEdDfeS6tcNcSP/Tpn6QQQAJOQUTACAveYr5hlAJATqQtTV13z9zZc+VZ2bm0ulUtlsNofIGNvY2NrefoSIPp8PES9cuKD4AgKN+rUIuqEaIAQwhiSFkaykIUFEjOUHutJv98HExypRqHHP9tC+4qgMP+RUTDAipaX3QIMGZG4pjL2cDkRTcyTvuzdi+ExmdeW9+TJHAAGAuEbxeHJhdub1sxf3fvp5bm5OVVXuU4lIE7qiKE1NTYODZ27dunHjxg3Oua4XyT10eoIQoLBem7xoS3ubzPxGrKL5+mGPG/vhShxs/5Q6+/FWu6sEe+UWHaXYqT0MgJRnJtorlFnjEjKSNogEtLa0//o33zPGZufmcrmcpmd9AT+AWFtbi0bjnKvA0OdXhs5fAAAOnIgIBCIavWM7vgSRLjmzkuskt6K8mrWj5z1X0QHDrUxkLLeHFjC/AaFz7DLTzwzlO5BJaWDYHYMLLf/JUNf1nZ3Y7MzUi6fPfvnpx821TZ/PhwoXQILQ51NaW1uHh8/dvnvnyrWrAKjrJBWHyNaSykfAfK5Z4T6OacInNzoHa19KMYk+PY7SGOjBwyfDifUTOeEeaqtm0u/BQ/Vi9zxNFIjWtD0v+MJsxWKQMSJSFKW+vn5kZOTf//v/vamp6a9//Wt8M+b3+xGRCMfHx3O5XDqdzmazw0MjdQ11CKhpmp0PQkJwROQMBJkHZ2iWYHMzR8xLOPBe8VAAc45u/MPNyim+vY1DZPtFBRsgAICqqqTpsVh8cnzipx//9ur5i42NDQDQSAggKWgVDoevX7/6q1/9anh4mHNLdxYtIdOiLDMkAJaPBiOgnPTby5zlN/aeJA8eDhkFTiJLmcjOBymI+RljPwEIQaqqNjU1Xb12OZH4P/7yl7/8/PPP8UTU7/dzVSGi8fHxXC4jhEgm0iMjIzU1YSLUhbB8wUUhvUJUqHnnxR0/I8gEFFK9iAhZfgZiWSLJFZV7QqH1sQ6iqqqmaTs7O2Oj43/9y5/HRl8nYjEAyAldJyF0AYzX1tXdvXv7m2++GRgYkAqJDpR6EgpmJkbUQTbsgHvGgwcPHvaKE+sn2p074Fn3z4eT49fflTfkWFWNfWJOxaDo3MjYhgCAEQoAg41BKMCqcU6GK4dz3t7Z9s13X3OOS0tLNEaZTAZ8WcbY+vrmzk5MURTGGGPswoULqj/IgUtNG0KBiAhChnaRKSTyWQOEQEBMEswLpHRs7KcD4nAdxKhRSsfqMO5++bpXZTkjWJwGL0AHAAYuGVgTZFaYJoMFhgIA5V0Qdt+QcUYy89XIFIywell+KOrZXCwWm3r3/vmzpw/v3Z+ZmVFUxlSFiEgg57y+oWGgv/fmzZu3b98OBoOakNXNDCEtKDbaG2LUmL9IjqaSHZhT+dK5ACcA1cN2tD+f1ThCfm643+7q56uWmqExAEAbA9FiFeVrLzK7VhEzSYcgQGeMqVzt7e0NBAK6yC0tLs7OzmZyaVX1M8ZWV1fj8bjPFxACgoHAuaEhpioKKkIIhLwOmp21hMjtLiEbk8h9LYdXt/SozJf2WmPx42fmUm8I5ENh2hTGGAlCQCJCAEAOzvmA00kkUDKTIZfLbW1tfXj//vnjR4/uP1hZXVJ8PlQ4ERIZ/sfBwcFbt2598cUXiqJKJpERU8hfb0mbaG8zFjqI3CRj78ukOnBU3jsPHvaFE+snKoLy+hQePHgoBdvsynL9WCFfM6JrTKzR2KZQTsgSIVYUpbW19fr167qu/+Uvf/nrX/+a2In7/X5FUQBgdHQ0mUymUqlEPHX16tXGxnoi0DQdCJGR5fexPhrkhFDmDjiUbmyvOSMSJu3o03XaCYGdDATmHLfgM8/8UeYI1o2zuANyoc+nkiZWV1cnxsd/+OvfRl+9Xl9fB84EgNB16Q8KByNXr13+7a9/Mzx8zufzFT2XYwmajynZGrDPfvDgwcNBwS2BZ3FDdBIWd5SAEBHsgz+iz+drb2+9e/cuA/7nP//553s/ZbNZv9+v+n1CiDdv3qRSKV3Xd6LRa9eu+SIhAKYLvSjl0OKtAAAiQxQmA8VYa4tAeDgY5MM/JYioZXYElz0CM1bh3gAAEDHo8+Vy2tLi4tu3b3/82w/jo2+j0SgwRoRCgBA6MKipqblz58533303OHhGTlQc7dzV4njw4KGa4OnK5eH5iQzskjvj4ROhmiOcB4tSChpuAlG1D1LudwcJEFAAmdoNQFLXRTAAU5ZGgJWOZvcCIPCA33eq57Q/GCCi9fX1ycnJeDwOSg4RNze3E4m3iuITAhRFuXz5cigU4lwhAqFrspKxAGCmaJHVn/ILgYBYnkPEbK4AZk7mPsXsrdg5BAAAfpp7Xb7uXiW7V9pOAiAsUg3NAho3BcCuQ2SIGOW3MU6MBpcAADjnRJROpLa2tsbevn325Omzx0/m5uYUv49zLoQgJFVVGxsb+/v7b924eevO7Ug4QkIIIYreY0cGpVRNMvn/9phwNb+PpRhh1YPDluDaP3ej+u/yx6E6a959fG8XvLBWPhEQRyaEAJt+GYJABEEIAJquM8aCwfCZM2eC/kAmk9rYWJubm0sm0ypnhGJ9cyOTyUjF4lAoNDQ05PP5FEUVQpAARJT2K6/LhgjEHBdiT3oqfdWwx2s/qApTnxLldRgPFwanDACs+yUKRngAIIGAXOoYOirccc4FaYlkfH11Y/T1m2ePnzx/8nR5eTkQCHCuCiACVH2+ltamwcEzt2/fvHHjut/vF8IqtGocCo1k5bzDqDg3rYQakbGlXHUAvXKwOIznsNrYjsfVIngohep59qoCJ9ZPVFB5ys5r+HxN8uDhWMEhJAEWh6jwg9ye2oNyGi6EqqptbW13794Nh8N/+tOf/vSnP6XTaVkWDRHHxycTiUQqldje2fzqy28amhpQgBByzifkDN3hnnCLE5nsJ4vR4o0AlaBSC0qmJhHmnXEFa0upFDnyOIpug4g+VQEBkx+mnj9//vjho8mx8e3tbe5TAUAIkdM1RVHq6uquX7/+u9/93dmzZwOBgLuR9ja4P+1c9AEvluDBQxUh7yoSNhezTbfIPuwjMmuVrut+v7+zu+v777+vqan5/e9///PP93K5nOpXAoGAruuSuJrJZLY2N+/cvevzKUQo3U+mDpHDUjAriRUK+USSL3sivz0O65IrZxI5SGf2haZYdZFVcnufT8lpNDE2/vzpiycPH71//z4Wi/l8PoGgk9B1XVXVxqb6u3dv/+Y3v+nt7VUUpbx/0OEkciz34MFDVeKkU4pOoJ/IHvmxslQAvMH6ALB/v3u1RRI+DRw9Jkosr1KY0ywG+fiYAAAkZmMV6QBG5r0RbZMzKnNuTUgkkBhyJCEEMuYPBE739oQi4VwuF41Gx8bG1tfXM5kMEW1vb2YyKc5R1/VgIHz58uWa+jpVVYUQAEyqWKMsNCJbSABERrkaAwwAjeon+YQ4o37N3mO8DEp7ESobVj59bH+frKIicPOG0MYLKuW2Q5NJJNlkUHrGjwwBgDEmhIhH48tLS8+ePH366PGb169XV1cVRWEK13UdOQsEAm1tbUNDg3fu3Lp69Wo4HJbCpc7mlVZhLzQHwvFbaidVk8E4PCbRpxmN99raT1nPq5J9S7XhaIzhnw+l+qeCfpPjtlQSM9KGASzmSOFrjYhkVFRgMlWMMRYKhwfOngkEAvF4PBaLzczM7MSinHMQtL29/e7dOznUhMLhoaGhcG2NX1F0XZhVseyKRdLeFbkKKUxs0lfBPZJUdu1HV1sKyn5lldfF+3igTc9OwvAbyt/y+ERg1rDLVzYDQEacc12jzc3txYWFxw+fPHv2bGx0dHNzU/H7uDQxyEMhf2dn5/nzQ7dv3758+bKqqrbTCZdWo6lt50hwLkETcj9Kn9vWHDZTda/aVQePamVsefhcqP6R9hPhBPqJwEEmssNzFXnw8BHIz5iLFYFyCwPZIr3GX0ZAjAkEMLnfQgjGWGNj41dffdXa2vrP//zPv//977PZLBEFAgFE/PDhQzKZjMUSS0tLv/vd71raWmTIl4AKT2GetLBhRGTKI9tb66kUHTzKh3+Nx0PeNZuOtWNjqTMCAIrCScPnr1///ONPY29GF+bnE4mEqqpSvzana0FfsK2t7caNG7/73d8NDAz4/f6ibbAf2f20HNS1e/Dg4VBhU5Qv7vNlBo/V3Nx88XVd9/n9nd1dv/3tb1taWv7pn/7pp19+zuVyHFkwGARdTE5OplKpnZ2d777//re//W2gNuLgnrgHDQc53WX+7LuUnIgeIxzKBZbSJ5Ioam5ILjf8RwDA3N4YQycRhcKVXCb97OnTez//8vbt29Wl5WQmrfh9jDFd1zVNC0X8nZ2dX35557e//e2pU6cs/pq7DR57yIMHD0caJ9NPBHZfeJmQsgcPh4YyOhpHLgRdLt4utYqIGAIIsLmKTGEgYxtEQGJEAMx6JZExn9/f0dVZW1ubTCZz6czLly9nZ2dT2YymafF4am5uQdd/EVouFApdvXq1taM1FAoJwQgASc8LSSLI6lWQf9/zEWCZoUZEzGiI02tQFraR5CN6rlJ8Sm6I/ZmsJPoNUMgjK7akIL3Lke0l746M8xe01aZVhIiMMSYol8str67Nzszc+/mXp48eLy4uxuNxzlVUuK7rgFhXV9fd3X3p0oWbN28ODw8Hg0EBJMqmjDnOi7KQm6mJVGbHo4nKmTWVX3t1KjhUfo3VoNTz6XHYdbgOGa4Bl4FtLmfVQXP4j1AgAgIIXQAAYywcDvUN9AeDwZ2dHU0Tk5OTGxtrAKDpeiqamJmZEUIgQSQcPn9+qLm1xRcIEBEKTkS6HJokx9AY2YyetJhEAMJ0TAAiM8VrPqLDj2L6Q6kqhOXHFvvaIna1whl7gSaRIDRV5+yzfsN/hAIRGSpElEnnlhaWpz9M3fv5lxdPn62ursZTSc45Y0pO07mC9Y0NPT09ly9fvH379rlz56RSntFWsp23yBWxCucV9o0+98fJYVvASucYHjx8KrjnA0fcVu4Px9hFsjceuBDCCCYAwIlRKil69/dx4aXen72+V0dxPrQflOLcfuZOKJOSU/iC5NsvP8hN70BB+w2PQKEykTWVt/a1+wuMDQCEEIlYfGZm5p/+f//X//gf/2NxcTGZTMqatRypoanpzOC5b7/77v/2v/+73t5ezXBxaO5gL9poRXkuCQIIWZLNLIVu28X9+yhjV/a4KPYculEg1wqFXiFTmYhB4ZNQilWU1xMtXJX3ExFxzn2cZbPa5sbGTz/99Oc//mlhdi4Wi2UyGd0IA2MylaqpDZ89e/bGjRu//vX3PT09qqpyzh0KpnkvpKvGmXk++W+rQ4rAnndWHXz1yvMCDsNPVPyMleX07R+7zuEcmbx7zaE4rnlnn3/ue7BPiMXlKbrWchbnCT5k5B8xxjKp9Nra2qtXb/7xH//x559/TCaTUo2IAzLGWlpa+s+e+bvf/fZf/6//pq2tTe4rJfGlnwgRzREm7xEwW+L0EZg/SrHa3dXT3dUtqlmxvpK2VZpnRMWcLpUwiaw0MxkEAgBCY55vK4hn7oKCc85QyWWzKysrf/nzv/z4178tLS3F4/Gsrklqsy4gk001NjaeO3f2zp073377bUdHh6qqjNlmLCX8RHLaUezO7o7PbV8Oe2SraKZRCgc4gJCMHe7h++XE+QuOIg7oI/fz28rPiBPFJ3IrGuS/diwiqwz1yH+59vJQHvvQGqho+yryoQBAJe2x2x77cOWOF2HJo1XjqFQ4zjLbL+lC4mDzveY/y4nQ9E3LtC/7cRggAAgUiIbXwNAUYIwrSmNzQzAc2tnZQcSHDx5MTk7uxLYzmUxGp9zqeiaTQ4KAqlz74nr/mYGmpiZV8QGArulg6keAyTyXviEyZ3VIpu4oQ3lKOauTmgXFKO4iv9ylU1OGcH5oKOVX/YicfweprYguBhEB6ObVkf3U0jdk0vrRMWu3n8bwGNqlZ235IPJ2MAIAYIxxheVy2sr6xsLs3Pj4+MOH98ffvonHkgAAXAGEbDarqmp7R2t/f+/169evXr3a29srhavlp1yZlkgU3KxdmETOO/45ZvD7UXM4CUyiSnDY6gP76ZPyluWg+vzosajKfDMbxsK0OIbSnEC7UB2Y/FbJUSQQApgc/wOhYNepbsWn7uxs+f3qy2fPl5ZWNE3L6lmRE8vLy6lUSlVVjsrlq5d6+nrr6uq4wjmAEIKku8jQt+Z2d5Vdp8Y+z5QLrNaaVrIU38ThGNrV71keB6TVZbsZptHcz1NUcC1lIrVWNVXH8iKpypT/TcCAgBla5vJAUp0QFUXhHNOZ9NbG+uz03Pjomwf3709MTKTTaYGAnCHwTFbz+ZXu7u7BwcHr169euXLl9OluzlUhhPXgQXEmEcD+JgOfOwJhx2FoElULinmIJPYfRdjrlh6qDUfPVh4gTpSfyIJzeHLlnH/yFnnwcFxgdww5kjqLEHwIHBM+O1nJmkATUY6QcX777p2enp76ujoiGpt4m06nfT4fYywVT7x89nxmZurrsbH/4//xfx8ZGWlqbnW8yPbDkm0huJxB1jy+1CXmp7P20ruFKHXhRcks+8ano+CVb7kZxHXE9gvi/IQAVLCNRfNCRGEeQd56xhgixKLRsbdvH/z0yy+//LK+sSoZRgKZ9Cjpuh6pCV28OHL79u2bN292dXXZH8JdHUPHhSx2YnHi5m0e3HC90QhSmQgNz7VhccwBhyEKJCQCxqxP/aampt/9w9/39PT8n1z5+ed7W1tbGmmKojDAeDz+6P6D9+/f/+Y3v/q3/+5/GxwcrK2vM33QaM0b7V4De8PINuJZayxb5HAhFRuRqkrMyGluXOp/5WAUtTCjM4Vg9jBMid1lLKHIwjKUVTMbMG8RzL+GL29rY/vVi5e//PjLo4f3d6JRIkKFMwREJAGanm2qafjii2s3b9784osvmpsbAUAyzkr6swqWO+NM3qjlwYOHI4Fj6SdyB17c7Ayw2V33eO3pnFczqse+7s57qoR3YC4/PrxWx1SsDMy66QXeIkTUZSBYFHzkc84Vn3L69Olvvv1W9fkafm588+bNwvJSIpHgnKeymZ147N69B5yr0x9mzl8YGRgYaDLmc1wIgSigWMSPEGTVHGstmkwix6QfiRk6B8DkfdvL9Bgq6ZCKUebZKIw2Gw6Y/TPUinIcCvn2RZIE7Blqsv/zSyT/X/KyiIgYMpKyRIQMGecKwM5OfGZqenJibPTV6zdv3iwsLGSzWTXgZ0wBomw26/f7B870DQ0N3rp16+LFi52dnYqigElnK9ktlV5pdaL8JRwUk6USHGz2QSVaAOW5NqWO4N7YfaWl8mUqucZSLaw2HFWbIlHeoWt3Chu8HiYLawpCa6xm+SAEGKwiuRwQ/X41EGgYHjn/d3//u7q6uocPH05PTycSibSe45ynYplYMvHLL/eJ8OrVy+cvjJzq6Y5EIghMF7pUumGAWBgVQM6FEFhsVin5T3K5PUIpR0s0K2+aNsj9jFWi7bLXfMkKnw1RaFPsRys3L6rAAlq7F7k6IkLXO+6ebJi5xmjQhQEBdCIUiETIJPOLq4wxDrCxsTn14cPE2PjY6zdv3rxZWlwhBJ/PRwyJIJvLBUP+4f7hkZHhW7dunT9/vrW1ldl8i3YGcbGrk+38mIyzKsCBDGXVlgdwUKgk78G+5XG6dg8nCMfST1QJir+xXmDZg4cDQSkeR1FY3iJrF44oXO8jEWkaEdCV61e7u7sbGxvD4fCPv/ycSqU453Ljqamphdm5Fy9efPer73/961/fuPVFIBDQdWGcp8QLTpQvfWZXLrBcRcZFOXZx0ePLHb/YkkMYcPY1sbNPectutDf5NvOwTE7fBQAWXj5JNSIr0AwAACKnaULMTE3/z9///uWzp7Ozs8lkknPuCwbQBGOsti5y586tr776anBwsKmpCcApNmeHRTTw4MHD8UPR7/ZS2UBgJh1bg7kgAQC1tbW/+4e/7+vrUxSFiKanp7VEnHPOOQeAsbGx2dnZ8fG333333bfff3fh0giUGOHRLNxZ4uTSxyE5Kfld7BxMUwm7OhUz90BiJSKw60MxUxyqYIPdyapljmlfhYhGxnHBxih9g8a5dKFrekbTJicm/vD7P755+WpxYS6bzap+n0AjJxAAGIfm5uZvvvnq9u3bAwN99fWNQgi7ibFHxYplqR9dVLO/24MHD58Ix95PVFHc1WWijnbM7XjBfi+O7h2pJAa+/+N8Htg1IwiAgJhZWczYoGjiTwF/p/BYDMkQBxJYKH1NxBhjwKCpteWLWzf9oWBDQ8PTp0/fvn27tbWFCtc0LaEl3r17Rwjr6+vj428vXbo0cPZMU1MTAicgXZOsdRu3SJDtKvKjACEIEkYtNmAAIEA3GynMuLQAQABWxsNirGJ5xYSDvndlc6eLcfuJCECHfGutCK017c5ftS12LWW2ioto5HvAvEYiAulnM2+iUXKOjOpm8uYS4wQG24gDqionoO3t7YW5xbHRt6Ojo29evlpYWIjH40KAGuBS5krXMqFQ6PLIRVnabHBwsLGxkTEGtg8z+bVQ2DMFLXeN+aVQLe9aIfYzjz9YXcbD6589sX1FMUvBHA9wiR2LHv/jxtuD6o2P08vY6zGP22zHaVMAGHCAwqpn1hoAJIGAQloEYoioKIAIvf19/8s//H1LS9v9+/fHxkYXFxfTuazP58tm05lManx0XNO0tbW18fHxixcvnj59OhgKybPouo6IgGjQJGUPo8E2sp1d2EybYT8tFqSsjEaUH8oKXUV2npFxNMd1FXuG3Sj1NpUaH9xKSe43rkBjyG39EbGY6072v9EqRCTjmGaMgUj2Ehl3Ku/xL/QGCgBT39A8tEaCEUNEHYAx5lOZpomt7Y25mdnxtxOvX78eHR1dXl5OxpPE0OfjRACgC13U1NScP3/l8uXLN29+0d/fX1/fIIMTVnY1FJveFF61NU+Ayt6+apvjfS5Nomq49oPCcRtjPZwoHHs/0e6wBvSqjNh48GDhCIR3is3Fy2rEuCqgyaNACTq31K8ROYGIA2f6W1tbuzs629ra0ul0NpvVSHDO/X5/LBZ79uzZxMTEgwf3/uEf/uF/+fvfnTlzprm5GfIzUZsEkr39dp9UyavMz4PNv1TeKQYlhpdDYxWVO36h3y0fu3ZcsS1aa2kHAQDbtbHWMQUQ2DMCiBGZ6qFSOoQIChPEhBC6zhLx+PSHmSePHv/xj3+cevdexm+ZqnDkiEhInLFAINDR0fH1119+//337e3twWDQOpQV5nVH8gvvguMT69NpPHnYH0o5iUqhqrRdPHweOLgeRIQoHGul0pAuCBFDodCdL2+fOtVTUxP2+9V0Or2xscE4DwQCRLSxsbH1YGtiYuL58+f/+n/9N998801HV2ckEpHCxsZBbQNq+URsa630dDu2tJxEB0pU+ejhbve3yTGpLn/VRQ0KEUFpk2qSg8hhVS1fkn2JsOtGAQCBRrCzvf1+8sPD+w/+8qc/z8/P60BExH0qYzJxUHCu+Hy+np6eX//613fu3Gpubs4XRrBxVS0L6yY0eV8THjx4OAY4WMNTVahkXujmE1WbL/9wUfLrvYqwa8Z7ld+mg3qiHM/zp7jqUoOD0+8gF7p+24/jmswVOQvZqtUULHcrCgkEAFVhQojtzZ3p6elnj589ePDgwYN7CwsLyUxaRnQZY6FIuL+///z58yMjIxcvjly4cKGru1seRBc66cUViwpZP8J5vWa82vHhYbkn7B4Kx7676X2Wjz2WgrCNYMyx3Mjp2+M4T7KiWWFqgFXW17yhRqkXe/vBnJHnGwFkVCa2VQXWwRSQQERBzACk09mJ8fHR129GR8fejU9MTU1Fo1HOOTFUVFXXdSFEIOhraWm5eHHk+vXrV65csUqbAeRVkAoZXvnHiQgZYzY6mNlGW/uPTvTvo7VFoPAa9+9DKX7eCgeQilH+enfXRtmfilD1Pw+VYK+9dLjY+xNS/rnNLzePLBlDAACEKAcnMDTm5HJ7AXujDqPUp2McESCb1WanZ968fPX4ycMnT56Mjo7GEilFUXRdJyJFUerr6wfOnhkeHr506cL58+eHh4cjkYjk1dp9Ru6B3yZ/h3YOlCPxuUyHlK62viuH6CNe+fJ9nj+vvefBEKXmAI6s4gJYt8A0qeiyL84kNWHWkDCWmDVSjQMa59bB7EbDwiCL7sTejo6/HR0dGxt7PzE+MzOTTCZRURnnnHNN0wBFMBhsa2u7cuXS9evXL1261N3d7fP5oPBxtf12zhAK78heR63qsT77sS9Fd9914z3nDRy0iTlAVH4fq+eOH0MchY/caofHJwLwHpqjjep3FR0IjnBIvMz75Yia5jk+JhyUEONQiESUzWY55w0NDTU1NX2n+7q7u3O5DCKurK8lk0l5nFQq9ezZszdv3rx8+fL9+y8ymQwA1NTVyipprDKpmgJPEDO+NqCEBXK5TgoghLAixqXOdYCjERn0rDICHcWBwB3Pm33ua92mMldqRJIRwChpx6BYloQQghFomiZ0Xdf1paWln3/++d7P99+NT2xtbTFVUVUVOJN3XFVVRWUtLS2Dg4Pff//9119/HYlEANyS1cVzAQAAUbqH7CpFRWfDR/VdOxk4IWO+h/LY63sqxwSHkrSOmJ8GG6OEwSrSiUhVlTODAy0tTZ1d7ZFIJB6PL8wvZXVN13UAEEJsb2///PPPL1++fPduYmVlhXM+MDDg8/mYwhlj0oSVStS1eDHI8n5tyz1UNLiy78nq4b44pQZeAKksXtxV5CbjONYW5xzZqk/ke1LOIsyAgUVo0jRNz2m5nD79YeqHv/3t0aNHHz58iMfjfoVzn2rFMFRVDQR9ra3Nw8PDv/3tb2/cuCGDEMc3oH5IOJleeA8ejiGOJZ9oD0yiEjuelDHr6Ltaj4on/gDb+eme0o/gE1V+WMt1QUTuOGqpHY14rwzFCgQAhXMAEJq+urr6bnzi8ePH9+7//OLVq5mZuZyu+f1+TdOQoLa2tqWttbe3d3j43LVr1y5eHBkeHvb5AgCgkyaE4Y8yApuUDzLLirqErrrLotzUFvKOibxLxeEhMndxMs6s5URUuARs27v1KVz/NNIABeTZT3Kv/GS9INKLwn7hLjhliQToQghWWMnFukdg86YJV2s5IKBgjHHGEWB7OzozNfvy5cvR0deTk5MLC0s7Ozu5XE5RVYVzQNR1XRN6e3vr0NDQlcuXL1++ONDX397eDsz+zBi6FY5+KPrbDF87rrT6RxKJcsq4u+31cRyi8kycT8Mngn2MfpXE7SvXqDoqdqfasdcnRGr9oCGUBpC3O+XuiBzf7IxXE06WikyGlc4dQhBCKIwjoq7r0e2duem5ly9f/nLvpwcPHiytrGQyGWCcMZbLZDnnTU1NXV1d/f39Ixcv3Lz5xblz51paWuQgnNN1kN4iKbtn2hSAAp0+e9xCmjh7CxlzciQZU+wMSnRqGNnh6J8y/6xEuaxMbwsikqbE5vDK24gyrCLI26N8tpr7CRGgSx5WfhExABC2HHZm8JiQMVCYCgBraxsf3r1/8eLF6Ojo+/fvV1dXo9GoTsKvBmSCW07XELG7u/P88LnLly9fuHBhYGCgqalBHs/FJMpXo7OPG5UxiSrlxH3uEWb/fNVSKHrtH3OxVcwnKo9quL8nAkf/I/fzw+MTWfACyEcUJ22oPZ5kh8oHbsv/Iod/GddliJ2dHZ1dHR3dXeFIUPH5hID1zQ3J30GCeDwejccmJiZePn+2tLC4s7Oj69TT0+Pz+VSVc1XBwtJmjh9U2AAismdyFZUnKOWtsM+Ay6RXlPfgV+7fl9QLwgoceUaWGUN0z+adbxkRgfSdkXO5EbUXQl6p4SQCJpWzjc1AJ0GappEuksn01PsPr56/+utf//rq1YtUNgPAOOc+vx8RAZFzHggEguHA8PDw3bt3b964Pjw8DGS439zXUSwc7YzPm33jTReqHI759PEc/TzsBYdl8d2+Cema0XWdMdbQ1Fhf39jT01NbF8nlcq9HR1dWVtLprE7C7/cT0dra2urq6uvXr8fGxpLJeCqVGh4ebmxsBIaccxkkKD9s2y2C/GltX9R9X4rQWpkxPaRuZIhGCKVUAt2uxssaru1sYstAIyvUKxQCil0yIgqhZbMaiEw0Gn838f7p06c//OVfxt9NyrR0riocgAgYIleVgOKvra0fGRm5e+fWjRvX+/oGIB9+OLxoujegSZy0abwHD0cGx4xPVLkP21ImssTyPi5Ce7RxlF2tJ8cf/9lobh/DJ6qAXOTgEzkPTgVbOqaVdm+O/a8lQJBIpJYXl6S86N/+9reHD+/HYjFELunouq6rfl9ra2tHR8epU10XRy7c+fLu+fNDnZ2dBEyWqtE0zbhAYmhU5CJZrUzWxGFk17yw+a0MqYm8TnOpW2ansVgRVMdyE6ViucZa59tq9j8RERZsCWa8umxE13G6om+ZkfVDmE89szdcABGRMC4qv6/sH4WBwhUEEEKsrq6Pvx17+fLlu/GJ6enZ5eXlregWIRhSEsDlLsFgcPDcmTt3bo2MjPT19bW3toXC4UIF9N2n2qVVPErFb6t5hNkPn+jj8DE9s5dg715ZDPvUzih6zFJr3doZ1fxsfBw+zxXtnU8EUNS82FeUtUHFRj/7VRewjvImhiEDBEA9p6+vr3748OHxw4e/3L//8uXr2dlZzrmqqsIYDikSibS3t/f39w8Nnrt6/dqNG9c7Ojo45wCgaVrefhl8ooKeN1kqwmH47GQiAGBMDqdyTCvIa7OcMqbKD9i2KfdOWR5+V+dX+lSYp94lyOFCSU6fxRuyawIa/SwKGimEQCa35oioqhwActns0tLS2zdjr169+jD5YXZ2dml1KR6PIxJyhTEGxGQkKVwTGrkwfOfW3eHhcz19va2trUG/O91sl1G3WBzCfYFHCPsZE8rzpNzLPxJHnE9kxxF9SKodR/kjt1pwovlE8vmpOPziwcPnxTFR5agkolhqS8srZI8oyh+6rus6hULBgbP9bW1t3R2dqqrqem56enp7O5pOp2VYmIhmZ2fn5+dfvnz5fvJdIpGIRqNDQ0PNzc2q3+f3++WEnkyg/bxEACBIZhAU6FhbLq38xDxf4dg5vBTGjYuNPygcGtKfBJVrLgIU0yey3xf3Krk2l8ulUqlMKr22tjb9Yebx48ePHj2anZ3d3o4yxlS/wswtuQKBQLC+vr6jo+PG9Wu/+u77voH+cDgsFWKtjLNdYCbTVbSxBw9FcBxGXQ+VgdwDsuSuakJHYkzhbR3t7R0ddXV1gUBAUXyKomxvb2cyGSBDdzkWi62trU1NTb2ffLe2tpbL5c6dO9va2hqJRHw+H+fciHYUY6kYLhBEB4elqB00rWFxyuTHDXqITmW6CnF4IWeiwtpnxS4LUXJPkQTkcrlkKp5OppaXl9+/f//w/qOnT58uLa3EYjFVVbnK0KhtTwrnkUikobGuo6v9zp0733/7bXd3dzAUAgBdJ1ahiTEbUGKNN3p48ODhCONE84kcPAXH2pOA4+JqPd53Tdgu8JNe46eJ1ew6BBVuIJksAgCkQpBZocZOLFJ0XU8lkqurqx8+fPjxxx9/+umXsTevVzZWGDJV9Ru+HMRwKNDY2NjR0dXb23vt2pU7d26dPXu2sbGRgGm6puc04fZHCOMsRttsfCL5184zMlg2DAGAGSqbTiaRS59IWNFgKM4wkjsLgHymmHnAgqiy7CW7/sUuxdaKJZc5BH3sJxJADpVxeY0WzwgRraivoiiMAQHtbEUnJyefPXk6NjY2NTW1trYWjcfS6bSWE0bNMwAAyGmZurqawcHBa1eu3r59u2+gv6mpKRQKWV68wpbamuFysRXTjDi6Y8V+eK8Hm+Dw6flEh4GPO9fneoqO+tPrxIHxifZ80jLvgtm9iGQW1cqHDRAZ4wCQjCfX1tbev3//4sWLP/3pDy9evEgkEkTEuQoAmtA5536/v76+vqmpaXBw8MqVSzdu3Lh86UI4EpF6N5qmyViCZWWs8dOyHYWaRMWv2zQ9ZG+8Kw7h5JaasJ4oIyBizYRtfCV5HB1sNsvGFS3ZkyVCsLsonTmy/3Qq2CYfmxEEICskAAAwxjjnCCh0Wl9ff/v27YtnzycmJqanpze2NuPxeCad0zSNKZxzjgSCtJymNTc3Dw0NXbt+5daNm6dPn25sbAwGg2aGoPvJLPL22Rlb7rWVQZS4I58RpZ6WPe1YBuWfnD2c8cjyiTx8IhyXj9zPiZPLJyJXSouXJ+zBw+dCGVrfrvwjmR2GUluaSBMaY6y2tqa2rqb79Cl/MKCq/sa62rHJsY2NjVQqo2maACKAWCy2ubk9PT07MTGxtrKcTMSWlpZ6e3sbGxtDoVAwGDSzCUxlBLMV+faY6WY2PpGc5JMQgmNev9lOOyp7yawiNYQDZRuZk+/iy6GYrXXHwxGRhNOXZH3nJJPJeCK6ub4xOzv/+vXrp4+fTE5OLi8v6yRUn49zzrkiy0irqhqOBGtru06f7r58+eL1a9e++OKLULimVEuc43a+Z4pKPxyfb2wPnw/eU3SEgYhl7YmZVwsFo5k1XGu6QIBwTSgc6Wlubm5ubibSg8Hg7Ozs5uZmLJbI5XKKohBRKpXa3t5+/25qYWFhbW0tGo3ubG13d3fXNzbU1NRIl4Tlc3eSM03xnY/7pHEZnVJX6kDJAb/wmd/dSH00T9/uJHIbTWdzTWaQECKVSsWjsdXV9enp6VcvXj558mRqamptYx0RfWoAEbmqSDvuU32hcE1DQ0Nvf8/Fixdv3Lhx7cpVVVVLX3txHMTX5nH66DhO1+LBgwcDx4ZPVEk2bKkl7iOclFngcXG1VkME5vBQ7fpEB34uBy+mklZJV45dGYEIOee6rieTyY219ZmZmdcvn//xj398/PT59vZ2Vsv5fD4ZvwWGqqoGg8Ha2khbS+vAmb4bN2588cW1M4NnmxqbBFAupwtNt3FnmFRJADOdSv4QBuPL0FMoyi1yd52dyVjUbWSLBu/yALj1EWx9tcu+jv6vpNtlPSD7XmiqRxERA5QxXgDIZrWZmZmHDx++evFydHR0dXU1mUxmMplUOitFXhGRAeZyOUVltbW1Zwf6v/7660tXLp46daq5uTUcDrtpRGYjneN2YfDcMeYfgyHi4zxf7r0+opLRns9bTcHeg7IR7uTf6mc/Vc/xndj3EyIK3/G9tbx87S0TlpalmVRs84brOiWTyej2zvT09P1ffnrw4MGTZ89WV1cVn8o5R+RCCCGEz+cLhUKRSKS5uXloaPDalas3btwYHDpbU1MDwIQQOT1LREj5a7FzeaS+XqnZrDQtxdip1mU66o4V/Z530mRso6s1rhZAAAEIO0cVkRPpNu5qvuSZoyXFArSG5h1AQQ8TkXEiRACGZDCIQZDBIUIEgEQi8f791IN791+/fj0xMbG+uZFKpdLpdDaXQ+QWU1XPaaqP19XVnT8/9M0334yMjHR3dzc0NIRCIcYYgYwfGWcphbIP51EXB9jPd1B5P1GpN/Tk6BOdxG/Mz47j8pH7OXFy+USF8BzhHqocJ9qu2Keb1kTT7s6wx3vlQsYMicr6+tr6utr29vaWliamKA1NLTMzM0tLS5ubm6lUCgCQIJfLJZPJlZWVhbn5+fn57e3tzc3NmZmZ7tOnmpqa6urqampqfH6f0EFyXoQge0V2gztj/lM2yM4tKnohpZY41gKAe/1ejyM7qUwQ2N6ZFfvmiizMR8g1PZVKRaPRzc3NlZW1ycnJJ48ej42Nzc7OptNpn8+HnDFFJTOOzhWlqbmhra3t9OnukeHzt+/cPDs4GInUFj1X4a23PuDyrXDoKNmccSf6PfJwEPCeopMOi+fCGK+tra2vq21tbVVVHq6pqWtomJycXF5d2dnZyWazMlyRy+U2NzeXlpZkpu3Wxubm5ubM3HRHR0dzc3NtbW04HA4EAoxJTmVxNSJbUlilwEK6KwDkB8aCzGVwPNW7EnmohE6Qbex1epd2P2aJi7P4X4jIEIEhAgKRruuxWCy2E11fX19aWnr7dvzp06cTExPziwuapvl8PsY551zGkIQQwYCvvrW5o639dO+pixcv3rl9s7+/3x8IgZVXiGW8Qx48ePBwEnFs+EQSlbt7yudIu7c5njiOrtZSOhflf4NtCbiWu9eeCJSN1ZRi6u0xogsgNSDKzUdL3CMqqBoDAPlIo73xMg4phMhm05lUenFx+fnz5w8e3Pvhr3+dnp7O6ToAKIoig59M4Yqi+Hy+SCjc1NTQ23f69u2b169fP39+uLm5WQBomqbrutAL2mNnFRW0nqFjielRQtMBhEgMQMh6aoXXaJ9tk+23PTWgVBUbCRu7ChmY9WLMHkMje6zYd6/JCeKEUFg3DSRXCMxcCfulMQYMGQIDgGw6s7y8/OTJs2fPnr1+/XphYSGZTmQymWxWk58KiIiMCSGIISNoqK+/ceP6rVu3rly50tPTEwwG7ZqvpbQhTEaA0WPle8N9hCOLyiOThxcCOVp8ooPCXvuzkplGqe2PP/b+hHyit9hGNbKfC4mMVYVedSaEyGQy0Wh0bWX1+fPn//zP/+3ly5crKyvZbNYfDFlESwDw+XyBQMDnUxoaGoaGBi9dvHjjxo1z5861dbQicADQdZ0s8hJDIsM+WhlqYLJWjTYVKBMVUfMpAlPEzRxd3YyhSuZI5WD2jyW3Z+kZGf41oyZE3kIZDUbKqw5ZnWaZV864af8gnUpNT08/ffz4xfNXb9++XVpdSWczqWQmp2tEZHGI5P1iiO3t7Tdv3rx584uLFy92dXUFAgFpYqD0cyivvbBy3J6Gr92pW1WJPb1l+zQxJ4dP5OEz4Dh+5H5qeHwip4jsZ2uIBw8e9gJjAupSybHHOY0wIQLnGIlEIpFIU1NzKBSqq6tpbmx8+/bt/Pz84vLyxsZGLqcxxnRd13U9Fk2s0dry8uLq6mo6kVxZWZmcnDh16lRTU3Njc1N9fX0oFGKoAIAQRu6Vnd8kfzDGyHK4MFbYnj3MjbCw9o193myet/iOpUhAtol58TlW/iqsXRCZKx9NXhTaejyby0a3t2Kx2Obm5vLiyuzs7Nu3bycnJz98+LC1s62qKuecKwoiApEQAohqamqam5vbO1r7enqvXLly4cL5gYEBvz9ov8BS1+gmGRXvCA8ePHjYG6zZoNONbifpyCVExDmvqY3U1kZaW1vD4TCA6O7ufv/+/dzc3OrqaiKVtpzjmUwmkUhks9nl5eVoNLq5vrW6ujo2Ntbd3dna2l7XUFtf11hXV+fz+RhTQAo5C3Kc0d4YyTNyD/aFkRLXKtcBK2CkfozqUNE2y2UWwyhfLEJI22NsZoRVTHNJQKl0KrYTjUajWxvbi4vzU1NTY6Oj7yY/zMzMxNJJRVG44kNEzjkRaZrGGNTW1ra2NXd1dPf39165cuX8+fN9fX2KopjN2/0SPtayCNc/q99DtFd4X0wePBxzHHs+USmmw8nlENnhuVo9lEEFfKKDrNMhT+Z4+IiKKhoAFNUysHOLzFCknIaaUVkiQk3TcrlcJpWenHz/ww8/3Lv388OHD7e3txljwLjl02EMGGMqV4LBYE1t+PTp09euXbly5crly5c6OjoCoRBjLJvTLQaT2Tnc/gbJWjZoOl3s9dFkTNhcXk4JYrdX0thXcoXIprft7hn7x0OJ+8sAJLmq0Atj7GtUumGMyV5lyC1H0crKyrt3H968efP27duJ8XeLS/PZbFbTspomdGEIMFnXIoRQFdbf33/lypW7d+9evny5oaHB7/erqiorCpn1oYt0hYNlVqyime1aZA/ILYtd8JFCJTzHUlyAj0Op45xMPpGHg8RhPiH7skeleKwWM0gqTJsmxjRFREQohMhmsytLy2/evPn55x//8pe/LCwsZLOaEIIptpEKkXOuKgpjUBOOtHe0nj07cPXqlQsXLg4ODjY1NSmqX7ZEJjubrcrbCOtvnncj21y8kqa9WwBJ2ovyM2GnUpKri8p3YOESFFL6B4BJcygK4x8M8vxQRARmXiwYFeo1TczPz09OTo6Ojo69nXj/YXJ1dVXL5jRNkxwiKuT26prm9/vPnh24du3KV3e/HhkZCddEpImxWyLZH6aJKF59bH8P5BESyNsTAepAnEQen8jDIcL7yN0/PD7RsfTxe/DwafDpXp/Sfo2S24NF85H/JJ0IGOPBYDAYDEJtbSAQ4py3tjafOXNmcnJydnZ2aWV1Z2dHCKEoihAEAIlcamsnqq6x7a1oMplcWFh68+ZNd3d3e3t7Y1NLc3NzY2NjXV2djE8KIaziaBaTSFb2xYJMgXzbKryQ8rAYN474cP63qwPLTLCIdPtKGS03Mx3yX1+pVCoaS2xvR7e2tna2Nzc3N1eWlucXF+bnFhcWFpaXl3eiW5xzVeWMq1IuSiIQCNTV1UkO0ZkzZ4aGBoeHh0+f7rVaZalR7HrhlW/mYR/wgsYeTjiE5ANZXMvCRGM5ZhIiMoZ+vz8Y9IdCIb/fHwqFWlpaJiYmZmbm5ubm1jbWNU2ThBcAyGazqVQqm81ubm5LbGxsTExMdnV1tbW1NTe3NjY21tXXN9TX19XnryRFAAEAAElEQVTXBwIBALAMruWo2mOsN8+aJyJBwoqL7AmOk5biLpWw2oLIiJToJGRncpS+GG5NKogonkxEd+Lb29vRnZ2tra3Nzc2FhYWF+aX5+fmFhYWVlZVUOqEoimSqImNg+tSCwWB9Q21ne1dPz6nBwTNDQ0Pnh4fb2tutI++l0/Y/wznqmQpFXa5H+oo8ePBQKU4snwiOlI//sOC5Wj2UwW6xGsfrtt/3qAzjw57PVbSFds6RnTtj6VIKIUxPB7MfRAiRTae2t7efPHnyxz/+8cmTJ5OTk+lsxtJjtmvfSMkDznlrc8vgmTPnzw+dv3hheGSor68vEokYBXr1fMOs05OpJSTZRlarEBFcteRljJcBt11vKbaRI2LM5IcDQP7a3dyiUhCgI0q9JOl4Mg4hOVDmPB4AQGgUTybW1tbmZhfefXj/7t278fHx6enp6PZONptFRoxz64oQURKqrGJojY2NAwMDN29+8c3XX586daq2rkHWJC789ALzWSieXLabl8055p8MPtEnmLvv4TX3gr0eyqO6+URgf6HsXJ78WGZ65/MXYo7nRCSzktPp9NjY2L2f7//yy0/Pnz+PRrelWpy5AzMiCkicS/eTUDhvbm7u7+k9c+bM4PDguTNnewf6m1qaw6GwEGDxRgvrguWNssVptbGiSrEOjTZUMJZCieOUm0YK1+ht47QKu31hwA3rhwgEOU2PxWIrKyszMzMf3k+PT068e/dubmY2Ho9ntQznedovIjI0Be8QdRKMsZam5rNnB76889Wt2zc6Ojvr6upkEp+RK80YkWEay9vHvTyHpRQwjxaK2pei30oHZWs8PpGHQ4T3kbt/nGQ+0VH38Xvw8Hnx+d+gMtFLYxUCIsrCZ26PDGNMVbnfp9bU1CBiMBg8f/78+/fvP0xPzc3NLS4ubm9vy32Nqrq6rmlC1/VkMp1MptfW1ibev3vwsLOzs7O1rVlyixrqjfpo0nMEALKjTFcXF0LIWf6uPnr3BvZEg8I1rNQulRxZHpZzjoDo1rQGiMVjO1vbMqK7tbWztbG5sbGxubWzvb29ur62srKysrKyvr6ey+QAyBdQA0GfqqoMFdnUnKYpCotEQq2trb29/X19fQMDfWfPnj0zMFBbWyuzJIzPLmcRtyK13uxt9uDBg4cDhznGFrFxthSw/MbWKjtX1OdTGYNQKDA0NORT/F1dHZcvX37/fnJmZm5mbnZzc1MQMaZI+yKE0LKapmlaLkekJxPpRDy1urr6/v37p21Pm1pbmpqaGpuaGhsa6hsa6k1EIhFHPMP22yzjZWtwiUzefY2lRUlDxhIs2IwhA5BqfQKAG9XWEHQBOzs7W1tbstLo1sbmxtamZFdtb0XX1taWV1dWV1e3N7eyWo4x8Pv9gUCAc26qUAtN01RVDYfDbR3tfX19A329fX19Q+fO9fX1hcJh2SfCzH2uMDj+USbmeCcoHO+r8+DBQxGcED5R5bufrEHQc7V6KINPEKsh2KXeWSXtKbuZMW92pFy5HSVyspuIxdfW1h49enT//v1nz59MTU2lUilT+gAEECLqUgLCJN0wxkKhUHdXx5kzZwYGBnp6TvX09HR0dLS2tkZqazjnCJykbihwYORizThFUu1dYaduWTXLoFCJyQ7ZQvvykjN4KH6c/DcPMCLSNC0Rj8/Pz8/MzMzMzHz48OHd5If5+fn19fVUOsE5p4IdGSIqClN9nCOTUV/JmQpHgm3t7RcuXPj622/ODw13dHQF/QHdUCAq0ICw8vWc11bYvPwV53ESRu/K9YkOCk5lk9LndcIL9nooj2p+Qhy1FOVvZ4NZnjdqrBI25R1ZedMQ2QFd12M70SdPnvzyyy8PHjyYeDeZTqcNJ47pxSDS0c5mEkREMlZRW1vb0tLS33v6dF9vb+9pidbW9vr6ep8aABRoZlib9bmExYGyyDuIHItRaPbU4bta2DKQtt6s2sZ1Xc9que3t7fnZuZmZmamZ6Q/vp9+/f7+wsLC1tZXVcgpHsNigyAGAMeA+1ccVxhhnIE0MEYXDwc7OzivXrn799dfnzg62tbWpql9m5+WvzlQqtDx6JofXaJu8IszXzdxT3bcjWt3Mjr3WjP64+o8Hxreq5gHEQzXA+8jdPzw/kWPfozWm7xfeK+ShDD6vn8ge/ywzTDniuq7ENF3Om9272LeU2WSyQelUanFxcWZmZn5hdnZ29v379x8+fPjwfnpzcxMYIXICRoRCaLI4GhFxBrW1tc2NTfWNdU2NjbV1dXW1kZq62tqa+tra2pracE2krq62tqampra2NlJTI9lGfr9fnrzyvoLCXCz3bdg1u8rB2bFvn0qlotFoNBrd2YltbW9vmtjZ3t7e3pbx3q3Nnc3NzWg0mkwmdZFTVNXKxeOcy9i4ojBFUYB0xlgwGGxubu7v7evr7+nt6+vt7T3d29Pa3BLwhwCMWnV27VInHawQxRZ6fqJP5ieCvfa2N4n3UB7V/IQUjkt5n5F9jJI5wvb8Yivfmcx6AoKQMaZwhghCo6Wlpdmp6anZmZmZmfdTH2ampqenp9c3tqTTXPo+5KE0TRNC6HpOzwki8vl8wWCwsbG+obGuqb6hpr6upqamrq6uvq6xvr6+vjZSW1sbqonU1tXV1tZHIpFIJBQOh1VVWpmqCIImk8nYTnRnZ2c7GpN0oc3Nzc2N7e2dzZ2dne3t7e2t6Obm5ubmViwWS2VSRKRw5JwbBoZLcwOqqsosb4VjKCRpqr19fT29vb29/X2nT59uaWpWVRWRWzeLCnPSLbj9RKYf7SP8RLC/b5BqwO665qWXVALPT+Thk8L7yN0/TqCfqHy29tEa0/cL7xXyUAYV2+Dyc9Byb5aMKxbzEwmbn4g5nEHWXnJDMOd5u14FFhP+NP/J5McAka4oPiIiXayvrz99+vTevXsPHt579+5dIpnO5XLCUKq2MX3kMYkE6CBIJ8EAFUUJh8MtTc0trU1tbW1tbW0tLU2tra2tra1Nza3Nzc21tbWhUEhV/YwxGSlFJPntwRiz9xgiGhR9y9Ej69QYvH3b70L/msW0z1+qlcolEFAQgBBCy+USicT6+vrq6urS0tLS4sr84sLs7Ozc3NzS0tL29rYk+CAiY8C5ambtGW1DRETOGFMYVxRFURTVxxnn/oDa3Ng0MDBw586dkZGRM2fO1NTU6Lpu3fFid614fRmTYVR5lb3j5z9yWzf53pX/njk8eH4iD/tF9T0hJf0CZKuAJnk6BQ5380KkbSIhHQ+CnCpCxDkHQZqmbW5uP3v27PHjx48ePfowPZVKpXK5nGQP6bpOAgl007IwIpJHs1hLMlAhrUxTU1N3Z7thYjraW1vbW1paGhob7VYGEWX5eQZoo9II61qkb4tL7SQUAGBo1RWovEn5vfwShiiEICuAYZkYm4NG+ryi0ej6+vrq8sri4uLS8urCwsLMzMzcwvzS0nI8HgOQzCBC5JwrkgMkab5WkjhHxfQXKYrCOOfhUKC5ufncuXO3bt26cOF8X19fMBiWJgYKnyLHNMD22+4Vci/5OL/PnpRSqwTC9ZvZ/u7fvuynP0ui+gYQD9UF7yN3//D8RLsuP87wXiEPZbAXPxHsFmHbxU9kHTlPuc+fjjsaUxAV3M1P5PYNuX+b/Hx5UiHjlkiQzWZXV1fn5+enpqZevn71448/fpiayWQymmY1z5i7CyE0TQMAXdeFECQEMqZwHgwGQ6FAKBQIh8PhUCgYDIZCoWAo5Pf7g8FwJBIJh8OhUEj+kGsDAZ8/GPD5AqqqSreLwn0yh0v+ZYwxLuUeFLDN3WUz5GeGhKZp8q+mablcLpfNZjKZdCaXTqfTyVQymYwnE4lEIhGLJxKJeDyeSCVTiWQsEY/H47FYLBaLJxKJTCYNAIqiMAbcnKcDACockTggY0z2mMw1UxSlpqamt7/v7NmBgf7+np6ezs7OlpaW+vp6RTFEW4veNXsOmm2JW7rb8xNZSz6Xn6iiLvUm8R7Ko/qeEMd4klfwtfuJwMYhgsJcYCPjzObZsaybvFjOufTFZLOa4ZdfWpJ++enp6ampqeXl5e3tbS0nOOdynEfgiKiTEEKQLoQQgiTVSEdElSvBoD8cDocjwZBEMBIIBAKhYCDgC4Ui4XA4HA5HIhFjZTAYCASkxI/fr6qqqig+xYQc35EDY0xhKiLa/URCCAJd6JC3L5qmaVo2l9OlicnlstlsKp3OpNOpVCqZTMbj8WQiHY/H4/F4IpFIJpNyYSwWi8bj0WhUVnxjDDnniGTjDTHpObJ+c1Qs7mpdQ/3AQN/AwMDZM2d6eno6OtpaWlpqa2slz0iiqHCS49Ey/VClbMrJ9BOBzc56fiIPRxjeR+7+cUL8RJVUIqjmEfyw4L1CHsqgMhtcpm5gpe+UyQmXMUxjiZVxZq/eYvcsWFuWP7jdT4RG0XdLtcGZg1boURIAoCqK0CGVyb589eo//sf/+PDh442NjUQ6xQjImLMLItJ1XfprSCAVQs6tAcASm5CnUBRfMOivCUdqa2tr6+saGhrqamojtTU1NTWhUCgY9Pv9fp/P5/f77fN4xpiczTPGDAXovJ8ISWi6rmu6nrOQNZDJZDKZTDKZjCdS8Xg8Ho3t7OxsR3e2t3d2dnakUoZAUsy6ZpxzYPIsBAAKmsXLGLMIRCbJiCmKjACjqqqRSKSrq+vGjZvXr18/d+5cW1ur8XwwhkhcVpwxnXxg012yPVfCundublHB15qp/eHCcRrPy8/LS82/P64H3HtVnnPhhDeJ91Ae+3tCPvU7bo9hFOYyO1tisIrsVyeMJYho0jw5guEJ2trYHB8ff/Pm1cuXLyfeTS4uLiaTaSLK5XK6rueyOhEJyNsO6y8iki4ApSESiCiEJtsmNF3GPEKhgMxQq6trqK2trakx3EbhcDgY8vv9fr8v6PP5VB9XVFVV/YqicI6cc676GCrIDEKTZc6EELlcTtO0bDar5XLZbDaTSWWz2WxWS6fTyWQykUgkYslYLLYTjcqs5Wg0msqkhdARpT8IC62JBbIvZ4wxpiCiojBEVJgKAD6fLxKJnOo5fevW7WvXrp07d66pqdGcMAhuFJ1wqY+jvEPOu2YyefPsYBMfF3uo5Fuj2uC4rqI6dPvxE7l9cKWszJ7hmRgP5eF95O4fJ7nemQcPHvaJg2EumKM2kllG1xrHLQ+RYxciwkL/QKkZQykmERaq4VjzYMc/c7kcAfj9/lOnen71q9/U1NQ/fvp0dXVVYZhOJ5PJZCaTyeVyjDFkKIRAZpSEFyaIIQkEXRCQIEHApC6QpmnJJGnZXCKRWN/c8Pl8qgnpEZLcHESUuj/2WbXRSGBEhMzKdGBAOhEJu4tKCElxktwiXddzmtB1XcvmstlsxnQl6bouABBR54QAHFDujww44xwIERkHyWAyg7pG1FfO0WXb/H5/f3//pUuXzp8/39He5ff7NU1nDBljAoEDk5qsREWq2suFWFh/R94Lz65/KlT/V40HD58HWExAzZQuKgBHZor0GwU3bdvbeC4oABgi1NbWnj17tqWl6fLly2sb6ysrK4uLy3Nzc/Pz8/Pz86urqzvbMV3XmZL3sFiGABgSMWm3iHQiBGK6rgMwQQJ0PZnOaJqWSCTW1jZUVVVVriiKRVa101Sl8z9/cBmhyec1MxnrMCW3iYh0TZP2xclj1SibzUpfUiaTzWazupAdRbI3jBIHADa7RjLjDACscIiMEsm1DBkRBYPBoaGhC5cuDQ8Pt7R1MMWXy2mcc0RgTJGmGwAB8n1e6m5avz0TY0MRL5sHDx5OLDw/kQcPHj4a7vjSPmNoDrZzqa0IAYQhO2ksI0uH0pYFIFG4xHDT5F1Csko9mCVhAIB0S21BF5ouAFEAiIaGhra2toaGppwuOEI6E1IDiVwuB7og0gkMN0wul8vpmqZpuoaMMS4n1EoByQjM4wuAdDaXzGRt63Rrrdl+qRNhLAUAYARERfWJjGtEBDScSWbHAhhyQrIMGTO+BRBRYT5D7hRAuoFM3SGD8M9AOq1knFlRfFaVGSPDAkBWKPOrvs6OtsEzZ7u7u+vq6hAxm82qqoqInAAZISCRvB6CwqJmtpm6TRHDFjkv/jAUx0nwd5SKxx5sHPv4ZfB58LBXFFdGswUemD0lloiYjGUAABEDNK0VAgHpAhGJdCFQUoQQqb6xrqmlERF1LbuzszM/tzgxMSGrKMzNza1tbGYyGU3Tsjk9l8vpWlZSjXRdF2A4VgAAgDMiEKAoCgAACyAIaZwSqTQlU0SEZJCShBCEBcQou2HKX2gR+wIAgEwBm22VlsZigDqIQlzlCipg6tmB4R6SfxVElJXLuKIoKlO5YjGJpNKTbCOXfqKQv/tU59mzZzo7OyORiAyBSGNFRIQ2GbsCXWonHJrWRCSPUGho3Eo95XEAHJnPisptx/5z0Dx48HAE4PmJPHjw8Dlh+Wv2f5BSS6jgfwUcJSICAkAzqklApAPltSR8vmA2l4slkvPz8/fv33/zZjQej/tVXzDoj0Qi9fX1fr8/5A8wxjQtG4vvbG1sbm1t7cSi2WxW1/MhZUf00sogMHIQ7CQms6E6EZP72vxEaOTf2XRG5SnsviRgACCMYHMBMwsAEIvP0qw5PWNMMbxIyJAQDQKRoiihUKCxsdHnC8icNslRkp8QjDESQmowGQj5fT6fFayWjji015exNczqHQfnq2hTTZzw6eZh1DD6lErYHjwcMVhsRzlUm8wgu56RzIQVcmu51OF9YJyb9dqBjHxbMh1GCEThcPj06dONjY2XLl1KJpOxWGx7e3t1dXVpZXlpaWV5ZWVtdXVtbW1zczOdTmu64aa3qJcMkTFu+X9kzhgyBpIHJIxmI1dQxldkI822gn2klstRWPEAAGCG66VARU4gSNqptSsiCgRE4NaFm84ju/aQtYpzriosFA431NVzrqbTaV3XhZ6fIXDOhRDStgQCgUDAHwr4uKpyzuWBwTAfRchExj9t0wR37MG+xGMYHQ48spIHD0cMx95P5GY62H8fdd+/Bw+fEgXzSRs+Xi2eZCjSIgYRK/0m5vctwhWybUe2ZpqzPfd5GQGhxbIxGoCAApEhgNBBF7lMJrO1Hd3eji4sLr99+/bFi5dzc3NcVRVF8SksEAg0NdS3t7e3tLf5fL5sNh3fiW5tbm5tbW1tbycSCanQmdMyuVwul8nmcrlMLpvL5fScpgPoukDkYJY2I7LaowghAJHn87Bs11tMm9Pd20RGyR3uUu+xZsAygiq3QUAEQgCFc5/PF/D7A3Im7vf7/f5g0C9n55GausbGRs7V2E40Ft/Z2dqOxWKJRELXdcYAgQshtra25hdm6+vrG+rqQoGA3+czw+q6vC2IUozIqCpdejIuAND2wVLkStG5vbMfjh0cCrtFtSQO6iwnoT89HF24OXTu5ftBKS6JVFgDAJ0QANH95WsO0IaSEZr1v8yRUNa1BACziJnUyTYys4AxJVLrq2uot9wo6WRKil7PLy4sLi4uLy+vrq6urW1Eo9FMJpNOp6Xj3uAcZbPSiS+EIJGnlSJjRCRAybNBAcAKnKBAW2FN6fEplO62tuf5KIs9AlHA20UAUIzfgjGGCIjEgClcUXzc7/eHgsFAICA1+IJ+KbwdqK2tbWxslHYkkUgk44loNBqPx4lI8pR0XV9bW1tanK+vr62trQ2Fgj6fT14gkUBUHC4eQQbXyGqbyTtmeSeZ7RpLW9j8PT3uCqel3qZS31N7gsOEHY8e8+Dh2OLY+4k8ePBwBFBU5cG2loxkMZeXyhR6sP22oYC9YmOYE8jJOwIYCqNSedSougIcFEgmtLX1zTdv3o6+HR8fn1hcXIzFYrlcLqfrQtO2Njba29u6u7sGBwcHh4f8fr+u50AXQgggSmcy0Wh0c3NzbW1tfWN1a2tra2Nzc3NzfXNje3s7ocWlpoOcvxMJI9BqRqoZY3JOD6ZjiBnyz2WmsMy+ijGmkQAAVhhBtXeLFX8WQjAGRCD1sSPhcHNzc0tLS2d7R0tLS3NrU1tbW1NTU319fTAU8fl86XR2ZWVlaXF+bmZ2YmJsfHw8nc6oqgq6yOrZFy9erK+vA0BtXaSuvsbnZwSg6ySEcQnuKC4AgE3H2u7JksUW3F81Jk7aXNOemCkOh1Jk4eT0qgcPewYilznC5oiU/1uQtmUbbOUPZEhEgPaBTm6Q57pKxR8wE8qQs6amJqnfnM2XJsjFYrGNjY319fXV1dU1E+vrq5ubmzs7sVwuR8JIybJaYggDEUMAQLkaiYhxDgBAzDYOo0UAKTQ9rHCINq9U8nDtURwjSGNQZZmkxiILBSNNTU1tbW3t7e2trc0tLS3trR3Nzc219XXhcFhV/IlEYnllcWFhYWFu9u3bt9Hodjar+biuA21va48fP15bWyOicDjc0FDn8zEhwEzb1i0TU8CWIjPvrxBus+KysN4w6MGDh5OLY+YnqoQzf9K+Kzx4OCiUCbK5UfQVc2kcgADbRK2oE0SAnHrmpR8Mjw9zzvnsRyjkHBU5ryWDTSgQucI4ImbTmeh2LJFIbG9Hl1aWZ6bnxsbGxicnZ2ZmdmKxoN+vKIoQwufz1dXVnjp1amhoqO9MX093l6qqQgiZnKWqKhElk8loNLq+vr65ubmzs7O1tbW5ubm9s7m1tZWMp1KpVMoMAsvYr6ZpuZyey+VMQdCclAaV+QhCCF0IqwcKO8qYtefnx4iIqKChCco5lyXtpTKRWdueSxlTVVWlgHYwGAz6feFwuK6urrGxsbW1tbm1pbm5uampqbm5ub6+vra2Vs6zNQ3a2to62lvb29vr6mqCweDs7Oza2loym9I0IX1hoWAkl9UXFpe7urrq62vr6uqCwaCqciNvDlAm9hGRoX9h3VxERO4YxktnBJQdya1UvaMHd33uor/dP6BwSeVRX49D5OHoopL6Ux9zzPJDCJMj2C78dGOtxSoCg+FD8i+Z2yDP2zgwB3khBCJHZL6APxAKNjBmG/0gm81ub29vbGysr2+ur69vbGzIfLTNzc2dna1kMp1J59LptC5yuVxG08myNUIjXdd1kdN13XBLEZGpUY1WRraNAwV5nxcgMoGAiBwMnWkrv5gxYIwpUs9OUWRdBlXlPp/Pr/qCwaBlYlpaWlpaWppbW5qamlpaWhoaGmpqamTsRNNE21prZ2d7V2drXU04HA7Pzc2tr6+nUxktqa+trcVjyXCoJpVKLS8ttXd01dXVReoiteEIY4AAAkgWHjWdRQVw85ELLzBfhROKJJ+VepaO95hZilV0UMf04MFDlaI8wfKIonI/0Ukfp4refS8r24NEqcGh7BOy13m5yJ8FhTvvjKiwALHNT2QsF04+ORROBI1jU0FEFwoFkg3VT4CNtc3JyclXr169GR378OHD0sqKzB3L5HJCCI5IRLqunT59+s6dO198ce3ixYu1DfVWbpc1XbaCtERklRvTNE3Ts7qu5zJaIpHY2t5eX1+PxWKxWCwajcZisUQilUwmk8lkKpVIp9OZTMYoFZPNSmeSVVnGjJ0aXhXLQ2QrJ8wsZ5Cqcr/f7/P5VNXvNxLKfMFgOBQK1NbW1tTU1NXWNjQ0NDc2NDQ0SIeOLL7GVaMsjjwUY0z65oQOsqpNJpOJbm/Nzc397W9/+8Mf/jA/P5/JZDRBnHNV8dfX13d0dQ4ODt68+cWlS5cGBwf9ftV200AISzlKZ4C2+2L5LITxfWW/la7Hz5ZaCAXPzzHxE9l5Q/KH2wfkeONENfiJPmoA8XCCcPhPyH6f50qGEJMMW6C+bwtaFLQhn7HF0OYJKpiKExGI/D9l7fYitd6JAMAsMSY0TbPErWWt+p2d2PZWdHtnc3t7e2dnaycaj8Vi8Xg8kUikk5lUKpXJplKpVEZaGdOFpOu6EYsQRrEzMhX0EBELNYY4N2p0yvQxn08xUpUDgWAwGI5EampqamvCNTU1TQ2NjY2NBi81GPT5fD6fT1EUbhReUyzTScAMi5nL5LLp7e3tudmFP/zhD//yL/+ysrKSymSFEAr3+Xy++obazs7OoeGRGzduXL58cWBgwKdy2WCSlR4sK88IyZwn2LldxSJTiCj9RAwK5gzHFGVsRNEXZ69+okP8zvJMjIfy8D5y949jxieSKO/59jxEHk4IDjUnpRz28nnOEM15tov1I0C3mERo6Q2Za40ZnouF5HYSyYUEBGhy46XUJzIAyGQyGxtbWxub6+ub0zMz7969Gx8ff/fhw9LS0k4sZhXoZYzpADU1ke7uvkuXLt25fXNoeLirq4tznslkjDAsIudc/pAzX0VRTNFOWevG6JlsVtuJRqXyQjweTyRjyWRSzt3TmTwMtlEup2ma9BORyFcmhjwBpwBGaFf6iThXVVVRVdXHfYrfnNCrfn9QSnGHw+FwOFxTU1NfX19TU+P3+4t0n0liEoZOKik+Bf1qOBysq6upra/LarlMLvvk0ePx8fHtaCyVTmdSWysrq4vLSysrK1sbmzNTs739fR0dHU0Njc0tjXX19aFQUOEIAIKASCHjXhvpheYDxOwOPrDlyhW2TTeXFA74JRS7jyB25Q1VsrByeKwiD8cDZZ7hiuzjR39PlPmCFUCA+XRaxgpSho3hTiYii7ynSWZGm7UL8hwl1af6jPpiRlqVJdCXSmXi0UQ0th2NxeKJaCKWjCcSyWQylUplUtlMJpPOprLZrJbL5HK5bE7Ws9eEEEJoRAQCTWMqkBgwlMrTlpOIMUXhPkVRFJXJ0IK0L9JbFJCuonA4FIqEw8Ha2tr6+tq62tpAMGheKzMaCiCz8IwQCOrIIBjwQcAHUFNX31hb15BIJXVdf/LkyeTkZDyZSqfiqUx6ZXVpcXFxdWV9c3Nzenq6r6+vo629sam+obGxvr4+FAzIwAYBkGAEZPiA3BakIM7EiAxZKSvPnYiKuZSO9whZCXPKLpNXIafvkDT1PHjwcCg4lnwiO0p5vr2xCcBztR5z7NdP9NF8IjJqvlQOG6vIbLMQwhTXMfxE+Zwyd3Uzc54nf5S5cstPxEw/0draxosXLx4/evrkyZP5+fnN7a1UKq3relaTChGGggNXmI8r586d/Yd/9bvr16/39/bV1tbK6byjPfnkL/nb/CcAICPGmDykbjKDhBCCNCEECAQQ8ntA0uaNg5vsIUEEtlppVlc4/EQGocmsASPpNoSAJEPBxlyfc+5gIVlHyN+Ywli3fT5tpb8JIbLZ7Nra2n/7p//6j//f/8+HD9Nb29tIDM1EBJUrPp8vFAmfOnXqyqXL165du3z1Uk9PT00kJJMbiEAqfZi3kwGY2hllDZTdPWRuejyqEzj4RA5Uzv35OD6RfcnHwwv2eiiPz/eEHCxvzskncqwlIpMTVJwh60glzjsybKwic+zN+4ksG5E/llkHk6y+FUigayIn/T7S5AhTzkeXZddMvW1hQrYZjJr0AgAYcClsjYgcZXaZ9BZJVWwzFRzzUnqO6mZGgTNpX4w2M3mNRfrEjOhYnClN0xbnF/7zf/7P//2///eZmZloPEHAOANEZKgoiuIL+CORSH9v35UrV65cu3zlypVT3Z3BYJAAyEpDk/1mKxBh5yYXtTW27nXWUDvK9sWOojaiwkurxE9kP2ApW/aR8EyMh/LwPnL3j2PGJyo/J94rD9+DhyONzzaJ2fsYzADI/m4aLhLhVJc04qiUV6e2g0BWMBGOKzfnhQQAnCmIKITY2d5ZXV1fmF+afP9ubGzs7dux9+/fb25uprNZtKWP5XI5znldTaSjo23w7MCVK1du37zR399fV9fAOc/lcqYIAgDy/HQX0ax8jGQ3S8SksCjjnCnImMqK91ahp4vK9eku7C37voZgtL3eGULBSpB6GZZXzu0Fs4EREENSVdXvVyOR0N2vvkxnMz/88NPz5893otFcLgMAOpCe1UkIQNzY2IhHY4uLi+MTb3t7e0+dOtXZ2dnW3t7QWKcgBwABOhGR/UkopiWRX2tcApO0JCzZmXA05/Qfba3sctcVHvMwKkZ58HAsUHaQtep/2VCgb+D4KnH6JqiIvrK5qUvBreC8Nm+LPCMxALOqPSJwxgEZU4Potzwj+07GLchptcWEhOnft/8uMvZSXtHJ0L22LiqfGmYLCyGi36/6/erAwMB3331HRH/729/evB2Lx+PZnAYAQmRzuRwJDRnb2dqORqMLi3PjY2O9vb3d3d1dXR2tra11dXXIUMhqD7LSGcn8sl2u1s4kchGRjuuYWSqL2bGw1PZFUd7uHKfe8+DhWOGY+Yk8ePBw5JFXcHBFAwznRbFa7/J/8l9yoTWlYyCzzki6NhAxmUx/+DD96OGTv/71rxPvJjc3NzOZLBEBY1bilRULDQcDnZ3tX1y/+q/+1d9fuHAhEon4/X4i0jStgHpjL+Eu2Tq24wgExhgzp79CCEAhhHD7PhgzNHryB7PrMbm7C81rNGFvlfwOKYiXYkFANd/Vli+L8g4Xw9VlbmBckXUeADTyBQgArly50tHREQiEksnkxMTE5tYWIvo4J1UeQWSz6fHx8cnJyT/9GVtbWwcHB+/evXv3qzuDg4MtTc0AgMAF5RALEjHKK0SYWyICK/PB9RnTMD85vFiIBw+fFI6x1L2qiCErK7tm95LYtyQCu9sIEd2eH3kogQBEkj2ELs+7URvedmRpQSRjqPRlGhYWLUk4RgAMSPKYZNKwVMLWwTLIoBuk4GLcW7vzBQEQnCpCACCEURL01q1bHR0dRBRPJmZm5nZ2dhjniNzv9xPpQohEIvH69evRt69VVe3o6BgaGvr66y9v37595syZuro6BqhDoWWpgFlgb6E7Z82DBw8ejjFOrJ/I82F78HAYKKUOVqlORCn3kOnFcEYm0ag4U2TqRkRS3caowgKQzWZXNjamp2YnJyclh2hsbGx1fS2XywkARVEQuVRIEEJTFKW+oa6n+9TZM/1DQ4Mj54cuXrjQ1tYmY7yGgoMt74zLzwE5zyYjn8vycXA5NUdhTTgdrbVm3kSMMW5XIKLCCb1jnooFB7F/M9jqtshDoaVcYS/JbH6QmC2S7iA0dbgJhc0zxO0fMDZ5CanNxLq6ur755itV5Y8fPx4dHZ2dnd3e3tZ1EkSMKQIB9JymaSREKplJp9PxeHx2dnZgYODs2bP9/b2dnZ11dXXSF2gTIkVAYZ/TE5HdL1bAKsrP441yRbb+KaZ1XaWoJAuscv2Iyq+3+nvGg4f94KPmfrZBxD7CkmsT0xy4GTQAAEiAsl4DM4pUGuxOku54HQCkvrU8DkOyWmymdllDmsjzLs1i9sSQiGS6NjebZc/qQrtLBky3ulkLQq51+UFsPSZJQsbhmCngY5qqYv4Tc0CWps1anO8fy4AiIpmXZjB9TCqVjEYg54rCu093/ebvfl1TG370+OnY2NjCwkI0Gtd1HZAzxoTICSFyuRwBpdPpVCoVj8enpmbO9A8MDAz09vd0dHREIhEAAOBSLlwgMMNW5q+3sEYqI8rnOJdwFR1dbtGurd2TBJ67H6zcNE8c1oOHo4djpk+017yzkz5geambHspg37nflbxrwjarNn67z0tEwl6i1lbjzK1+bYVbbd4Epig8m82tra2Nvhn705/+9Pjxk9nZ2Wg0Ko9DRMK8NDltVRSlJhzq6Tn1/Xff3blza2jwXEtrEyPQgaCg+kxBFRt5BML8xN0RL5WaO9YuZjKcubKIwk4ROI9ZAGF6TPIttG1c8HVjeYIcTiinkw4L1KNsbZbx47xCgfQiIeLOzs7D+w9++umnn375eXJyMplMa5oGiNL3lXdIMRJCqKra3t4+NDT0q1/96s6dOwMDffX19UIIkf+4ccTP5QnJ6mEoCPOaCh0oGy9zEaHwfh2VkX//1sr9VVyJlTwYeOIRHsrjczwhB1kBze0nMrYpTYcsat3sFrCA1+lSz7H7MojyhgBNv5BAU9bPfnxzCLVbpXzLrQG5JMVJADBCaaGk84qZYz6C0/8uzN4QVJEvu6Cp+Y6yvGHmMc2ojI6Ia6urP/74408/37t///7MzJys+YCIRo02Yoa8HaIQwu/3d3d2jYyM/Oo339+8ebOnp6empkYIITvY6LG8aXb7iewdUmT8dD2uR8W+lMfHvSml/ET2JQcGz8R4KA/vI3f/OCF+ov3EV48zvFfIQxkciJ/InFUz21ICKFDoLHVec6aoI6KcE5ecd6Lz3ecInHMZCYzuJGZmZt69ezcxMTE+OTExMTk/Px+NRvWcpigKciYASNelz6K2tubUqa7+/v7+vp7+/v4zZ870nDrd3NqiqirpQtd1QkPd2XW55CTtM+c2aGpnIqKp7JBX1oQSfev4ckBTVcHIHbB/S5T1+Njn/XbhUPtepiarHcW1CcjMDpNNQgLpy5NHW1pYnJ6enjEwNzc3Nz07s7q6urOzo+u6qqqMMRKoaRqBHg6HW5rb+gd6zw6cGRgYGBjoO3v2bGd3V01trdEqIKEbU3l3FoDsAePsZJ/N2+aphrIVQ+QHrqZ5aPg4BevKbdzhRk28SbyH8jj8J6RyrfcSngvZnr3va9kIeY1WNnH+yFTgAclbPRfTE1w20RzlwOB72jzjtqYz53HQ8Oy4OaTGP00bJG00Aw6yAIJt1LV2IWCy2HzpbilIcK78W8M8HZdhDDAjKNJmGQckmJ2ZmZr5MDMzNzM1KzE/P7u2thGNbgtAVVU5MiLKZDVErKkNt7W1DQwMnDlzZqCv/8yZ/oGzZzo7O4OhkGwuASAJspWfc1yyoyxdQbpcgUMNSo/SR/fro1psigOeifFQHt5H7v7h+YlONLxXyEMZHJ6fyIqUlj+vZPoACCRjjgiFeU+OGXDBEQQxxnRd39mJzc7M37//4P79ey9fv1pcXLJmwzI4CgDAmMKQc15TU9Pd3fnF9au3bt26eHGku7uboyKM3K+8goO9kQ6Gi32y7nAb2eed1pbGMQtjzg4Xj1vL2eEncjuJisIeL7W+TBx77cdPZPegMUAiQsa2t7Zevx598eLF06ePx8fH5+YW4vE4IuokQBABM75egGuaFvCrnZ2dFy9e/O67b65ev9bb31dbW2t0PiqOqHi5PilgZhU8G5afqJBIVZ0W4eP8RFCxGJPnJ/LwOXGM/UTgvLp8FnDe1ZJXdC7Coi16HMtq2Kxknv9S4Coq4Seyw22FjV2MsZSZTbP5RKxd5LW4Eqjt1wvgtIClrrEYGOQto5l0Zx1BEKIsIsdWl1devnz98uXz58+fT0xMzM/Pp9NpRBQCZPq25erSNC0SiZzuPnXlypVvv//m8uXLp0+fDkXCVtEJd5vB5pWzw22yIW89mStWYe+T6rQ15eH5iTxUA/b8BnkfufvHMfMT2XF0R+RPB+8V8lAGB2WDyzDtzTluPoZp5JSZE1OdCiQYCg5lyy8DM8yocAUBiGhnZ2d6enZ8fPz9u6mp91Mzc7MLS4ur6+vJZJJzzjkHACTSNE1ReE1NTV/v6ZGR4YGBgZ6enlNd3e3t7U0tzeFwGACEMOoIIxVMOu29YW9DAaW/bF+5qr4zxypHuWCLSF/04LKWsGP7Yqf9OJ3jIh6Kok+I5PVY+kFEtLm+tb6+vrKytLg0Pz8zL8WhpmZmNlY3NBKSWwTIpS54OBJsaWnp7u7u6enp6+s5e/bsyMjIqVOnIpEIGQcEIchKKyianQFmpWbJcrKaZsaEma1nqjkT+bDbVt4Ptd/zepN4D+XxaZ+QUnPC/PJSOWVgW74nFL3AfEJt4RglrZ4RXTD5tg5rUsmMXR7fchU7jII5TpbqjXxul5HrLUhGUyxLZwQGKrpHwvY3n/NLpEvGkM16Fq86T2YJBduFSNZPXlyVdLG2tra6vra2srqwsDA3MzM+/nZ8fHJudmF9axMADBMDLKdpnPPampqWlqZTPadPn+7u6+sbGhoaHh7u7OwMBoNgxrGK0oXQCMqgnGOUNvT5LLnSfVJttsaN3d+Xz87M9UzMicQe5ifeR+7+4fmJTjS8V8hDGRyIDS7hJAIAhghCzvlMno6xypaSJkydTEZ534ThHWDkWCKh57Tt7ej8/Pzjx4/v/fLgzZs3c3PzQghQuCNmqHKuqkpdXU1nZ+f1a1e++uqrkZHh7u5uzlRd0+R8UQpgGzNlyWxyXb01p5RuiKI8HcuXUehXKnCKVeIncpwx34aCmbRz+0Icrp+oQE3D4GEZXiNdz64urb548eLHH//24sWr9+/fx6KJnNB1XRcCyOpA0HO5XDAY7OjouHzx0q9//f2FSxd7enpqauoAkSsob0r+Mgv9RBZXC8nhJ8rHpT0/kev49rN4fiIPnwLV4ScCy6ly4H4isIUQ7DxZ44A2QqhjrVWPrKhBKT9vd/NPHWsRsYyfCABM9pP8t8EMJUvYzmxbmTaYKOknAsjr2dm2cbakqJ/I3nJj/oBGMc5cJruwsPD08cMffvjpzZs3M9Nz8VRcCKFpQghANAywECKrZSKRyKmu7i++uPb1t99cvHixu7s7FAoBAFO4ZWKKXmYhIwxcW+ZbWGz3o/Jt4vmJPFQnPD/RJ8Ux8xOVzw324IT3Cnkog/3bYEeOmPlPQ4PTcTRhyMvoZKoD2DlE8odAAeZbbeWCcW7M6jKZ3MzMzMvnL0ZHxyYmJ+fm5tY21jc3N5PJlAAwaERIIqcBAGOsq6vrypVLFy+cHxoaPH26t6WlpaGhQc4UhSx7ViiFU+Hl29tcojOZg0nkrlVsKkSU0hjKf8s4PET22aqNO/NxviE7yvmJ3G3I30SAvFuHIJfNbm5uLi8vLy4uzs/Ovn79+uXLl+8+fFhb22CMqX4fIjLgmqYxxkKhUGNjY0dH26lTpwYGBi5cOH/x8qWuU50+1Wd+RQBRkXwKqW6Oxa661O2rynFv/7Pw/djBfSv+epN4D2VxHJ+Qit4at38hP5a6+qRQwdp+FqjgXJWP/Lv7NXa7L3u1MqW80vklcp5QNApibSnTzyxjnU6nN9c3FhcXV5aWpqenX758+fr16+np6Y2tHUVRVFVlTBFCaLquqCwSCjc1NXV2d506derswJmLly+MjIx0drZLvpK0wrox03DC3p6i/KOCjav3kS71LO0112z/enl7xnEcQDwcJLyP3P1D2X0TDx48eNg77AN0ocMov02hF0Z6ghiBLr1KWOJo9n1JUCaTyWazsVhibW3t5cuXP/34y/Pnz6emplKZtM/nQ0TF5zOmcUg+rgTCkVAoUFdXNzQ09M23X31x7erQ0JCq+olIltRFS8DI5SQqBfuWxflEiIXq16zCWbU7x60U3CSjz4KiF279U1XVtvb2tvb2y5cvr6+vn+7tra+vr62tfT81E4vFcrlcVsuRDvLG5XK5xcXFmZmZ169fnzp1amFhIZVKDUXPdXZ3RUI1XPEpisIYEBR8aHnw4MFDlaPUcF1hctknR4WSZwcPN4HXuYEZ0dF1HQACgUBnd1dnd5fQ9JWVla6urrq6utra2tnZ2Xgync1mNU0gIuOcMZZOp2dmZj5MT9XV1fWe7llZWUkmk+fOne3o6AoEApxzrioKMjI1CqHEDdrV8laJdfbgwYOHPaE6DdKe8NFKnx48V6uHcvjoWA0BEJCdJW5EBY2pUn6JlcZFCCTyhxXoPLucqVkVWxhjCuPy8IuLS8+ePXv9evTt27czs7Pr6+tbO9vxeIKIOOey4IoQAklomtZQVz9yYXjk4vlr164N9PW3tbU1NjZGIhHGmBBCp3xFrYKK9UZENz+2OKqfQGXz+2KTxSL6plCG9mLrMXOJXa6ofEzPjX3xUxwOLLuDzFyFAGTdcXn3rXZms9rOzs7q8srS0tL0h3f3Hjx4/vz57OxsPJ70+XyqqiIiEeq6zhUlFAo11Ne3tbX09vaeGx68duXqyMULra2tYGaIyLQIoQNjSK7rlb1k1dBx6GtYCYZVhlKR9sqb+jntoBfs9VAeVZN3VhHsbT3Y3LT8KSqekLuDB6XskWuDcixFexaYzSpZJoa79i1iWcjZDx9vZURhspvVSHdHydw9BvboDmQy6e3NrZXVpcWF5cnJyYf377969Wp+cTmVSvl8PkVRpEWQpU7D4XB9fW17e2t/f//Q0PlrX1wdHh5uaKgDYHJKQ5TP1nO0gVVw5wuf6ur5QnHnBtpRed7ZZ7gWz8R4KA/vI3f/8PhEHjx4OGgQFZ01OdhDADYnEVlzy1J570BEnBtzkWw2G0ulo9H41sbmu3fv7t9/+Pz587dv3+5Eo4pPZYwpigKmf4IxVhMO1dTURMLB7u7ua9euXPvi+vXrV1uaWsGMRmqaRkTIK2HXAwAUkoOKLCkaPyx/ZMfU00FB2muc+VMGMN3nMltbJL3ColxxRWlpaWppbhoeHl4cGozU1kYikbGxsYWFpUQikclkNE0jAp/PRwCpVCoWjU5PT797925mZmZrYzsajfYN9Le1tYXDYV/AL+84Y0iuzxSrAbveIA8ePHioBux1gCrPPN2T7XDZmkrZr1DMd/ZxICKwbJ/roCVJPWTWOCMCYD6fr72zo72zbXgod+bMmXA4HK6pmZx8L3lD6XRacotUVQWAeDy+sbExNTX1/v3/n703bW/bSNZAqxvgLpESRWqXrN3yvsWJk5nJzDn3ub/6njlnZpJMJrZjx7u17/tKShQ3oOt+aCyNlSApybLN94MNgY1Go9Hoqq56q3ppeXk1l8sdHx+Pjo52dXW1tbWFQiE5FKK6wch2d/+X9TnImqtgsWqhhRauHL4APlELfhDzMopn9D+EyCAhC+wlNKyFxuF8qRd0Hz30y6qlcWWMM4YsgVSIaEvJKUDYUwZVEPITASXICOcSob4PmsbZ0Z6UGX7RsBziF+3tHbx6+cerV29evXq1srJydHycy+XOzooKUwkhQKnE8xkxVVXVWCw2NTVx586dbx4/vHF9OpPJpDo72tvbo+GIaLYAG8Wd6dvYm/l93KP3xXQ8wiV6fwnZJZz9ac05au5wbP3V1/fI7+j+2wXCyhoTm+PMS2pmJOXQ7V+UEOAxhpxbtLe3t7q6+uHtu59//vnth7cHBweVihKJRCiVKaUqY4yxSDQUj8cTiUQmk5kYG7958+Z33z2+fmO6s7NTaxUCAkNEAhKAmb2IEPfsrc40UoHnwMvxCV8dz3N9aDl7W/BHa4TY4Jh/LLn8jDM6nPIoOCgiOjbctJeB2u+ioazGAXQYkSUaZH8GZ5y7KI4RSalUyuWOdra2l5dX3756/fMv/5qfnz84yjHGIpEIl0eMMQSIRqOxaLS9PdHd3T05OX779u1vn3w3MTHR3t5uNIwxl7x4VPB+aU1F93yFnyeu3J4PrQmkBX+0+ETNo8UnaqGFFuoGcbgNTU8m+nkUDQXO5BMhMq+8j7p2xad1RVH2j3PHx8cHB0fLy8svX7x69erVxw8f9vb3CSGSJEmhkCRJTDdDxOOxVCrV0ZHs7e29devW3Xu3Hz16dG1omIeUISBPZ2DczsnbhwASRdBEXYxEFw1SS9O/ytANdIwQEo6Gu2PZ7p7s8PBwf09vNBrN9GRWVlZ2d/fz+XyxWKxWVR5IqChKLpfb2d5bWV7bWFvf3t7O54+3t7eHR6719PQkkx2RaDQUkoDoWa6F27W0gxZaaOHzwvlkLCIM0GkfD5p375OA1eP/sNGpUN8FFTSDkRSPR+Pxvr6+vqGha93d3bFYrKdvYGNjY29v7+QkVyyWFUUBoJIkVSqVcqm0vb29srKyubm5u7ubz+c3NzeHh4czmUwymYzGEpSCHg3/+UrgFlpooYUaaPGJvmq0TK1XE5dFGKoBx/DQ2S7UNm9oHkUnExus0UbO+rWFO1IAqqcnYsavFIEQEpK1Xc8OD49f//Hq6dOnr169WlhazOfzhbOz0llZURRuS+JRY4wxVVUppSMjw/fv3fnuu+/u3bvHLQjxeJwnSNb3AgMi7KEOAAxUsLPq6OV9ERZmkB+LhOffIZfu0xNHphufSMseJZyxt1DrdhTevpYeSAIAQqBarVZK1WKxuLOzNTc39+rly3//+9/zi4tHRznGIBwO8xQZPLggHA5Ho9FoNNrV1XV9curu/Xs//PDk+vXribY2vcHGwLMlEbfAi0epPy8DAG2V9Qk+yxafqIUvE8zBFtGOqWOEXBGh6A3b3Oh6fA53aURjt9FePNmUtS70wfnPTt58Ir+ZHPVLwNZXfDtVQhFBUZRSqXR2Wtjc3JydnX3x/Om/f/v36urqSb4IAHzPTUDKGCMUuYiJxWK93T3Xr19/+PD+kx++HxkbjUVjYJEvAIYcIXZnGdEVHQ9ucgsNoiViWvBHa5HbPFp8ohZaaKEOIAHi5uFsQH8VjER2EEJCVAIAplaPjnK7u7t7O/urq6uvX79+8+bN7Ozs1s42Q5RlWZbDVKLc7qAqSjQaTaXau7q6+vr6JqfGb9+8df/+3cnJ6+FwmNfMGG9q0L1mLk6inI+X+LMF0ZVpJACEMIZcgZZlOdQeSrTHM9murq6uzs7OZEfHzMzMxsbG3vbe4eHhyVmholQJIZTSSqVSLBZLpdLm5ubRweHh4WEud7S8vDx0bbinp6erqysej1NCQVg8AAARSG/EMyNtCy200MLVQkNSwzO70Je6XuIzvJNhxElGoZAcDrcl29uyPd1dXV2pVHtHV8fCwsLG+tbu7v7x8XGheKY5nwBKpRJPlreztX14eHh0dHB0dDR5fWpoaKinp6ezszMai/FboKHReEsTRCSkjmRPLbTQQgufFl/1QqWFlqm1BR/Y8hPxxEPEGumEiJbcQ3p5+7WajgaE8KRG5syjCiYbg0NEJZCoBIiFk9N379798suvL549fz/zMZ/Pl6uVSllRmMoYQ0okLS6NMMYYY93dmdu3bnz33Xfff//90NBQKpXSdreVJEsaGv1ZwObNJpymrnGgxD2wxEbazhh9hYgS0XZpIUCI0IfafihoCX8ihGjZmggFAKrpl1QrCZob2pYF00jw+Wk/VNFz6+xDowyYfnXKO8TYso0Qwhjoe+voPyFSSvkLVVW1WlWr5cr29ubMzMyL589//fXXhaWl4+NjABoKhXg9TAVKqRyioVAoFAr19nbfunXr22+/+fOff7x27Vo4EgGb4xepnlqCiTv4aLkkhDbrOJ+dkr62ibXl7G3BH60REgymWQF5ziDHef/9EIPo+Rrzlx831sxzRTA+kRPUpnswwWDE5Qs/TySJMaxWq4pSKRaLm+sbHz9+fPbbb0+fPl1dX8/nTymVpRAFAGQEEakEoVAoLIcikcjAQN+dO3eePHny/fff9w8OyLKMAAxdZIolMxESIChyV8XHugp9/tmhNYG04I/WIrd5tPhELbTQQh3gq20xO6MI0ypkZLO2FmGMEZCM3AGMGIQO0HIMARACJ6cn25tbWxub6+vrHz7McA7R5uZmVVVkWZbkMKUUKUHEqqKEQlIy2ZnNdg0ODo6Ojk5fn7xz59aNGzeSyaSRQdnwJZpNJcTxCIz/RQjFWhul2yQNZ8dw6gqA5aHs3kU9K4SezEjiBjRwdpbfvT4/EGC2BQy3d2l9jsD/EB2/4XA4HAZIxFKp9vb29mQymenuXlhYWF5eXlvb2NvbOysVVVWVaAgRy+VyoVCoVCq5XK5YLJ6enu7u7k9OTg4PD/cPDmSz2ZAcQq6qAwBQBGNbHGve8UvskxZaaKGFFi4CtixFYKRH5EYbhoSQaDQMEG5ra0ulUslkMplM9vf3zy8urq6ur62tHRwcFMslpoIkSYxhsVg8rZ4oipLPHxeLxXw+v729PTY2NnRtuL9/MJ3plKikqRxelCLUnUetlWoLLbTwOaDFJ/qq0TK1fvYQWSfmoWeZ+uo2Nxi3qllGZh9d3bHpYaCrYgyAMIKIhG9dhhQRNSoHUkK0bc4oaqwiWZYogqqyxYWFf/7fP3gqov393YpS5WmMVXOfLM1aUq1Wk6m2a6Pj337z8L/+679uXJ/u6uqKxWISodzQY2QgEhvGg920vDO6V1Yf+ZYtzKyfg+C/9c1W493lPswUo/LPI3OBmJ9I9N+6TSDu+6ToFiKNaMYYs+0HJ44rxhhjUC1XNjbW3r9//69//OOnX37Z3t0pFsuUyJRqFCEEoJTKkiRJUkiSR0ZGHj58+MOf//TkyZPu7m4qmZ8KEkREQGq0l9iSSrjZ4y46/8iXhJaztwV/OPMTabgCfMnPEda5yCu46bORL+DGJ0ICnKur/WmKaTNPouZs0FJ1m6YiXcAwgsaem2Y9isIAoHRWXF1dffPmzd///vfnz5/v7e2Vy1VJkohkEnsliciyTAiJR2NjY2MPHj38y1/+8s0333R2pSmhKgAiSLpoNHwhGgiCsTOa46ktRCNRb7GfaAGgJWJaqIXWIrd5tPhELbTwpeMCpkQtAM3hqQOGQIlhJNItABqDxpIsABiARCmllEgAIYCyoq6vb2yura+urMzOzr59/WZubm5tY71YLFBKqRTimhkiKkqVUmhra+vuyQwNDY2Ojk5MTFy/fv3WjZvZbFcoFOEt0VRDMNg6ZstdOkln97g+6fl12rnU9CXAsEJqo4UxF+6VXpIQEgqFuPt3PDoei8Xi8fjQtWuzs7MLS4vLy6uHh4ecAkYlSVVVpVpVFEVVVUVRqtXq4fHRwsLC2NjY8MjQ4OBgd6ZHNyESxmlOYtycYPlqoYUWWmjh8kE86LUETZXGfxHILTFiGcNkgwS4G0mTO4iU0khEBoBoNByKTESj0ba2tomJsbm5haWlpZWVleN8DgC4iFGYWilVlUo1l8vxrNhHB4czMzOjo+PD164NDg52dHVqWkdjcqQlfVpooYWrgRaf6KtGy9T6tfEC6nhe1Fx5zNzTyrmvGc9JxLhRxsg7I+bfYXzreZ1DZPCJNPsLlQGAIqWU7O7uPXv27Ldf//PLv39aXV0tlc4URQEAPZ8A8NTFnHgSi8X6+/tv37n5tx//cvf+vcHB4WQyiSozeEbGPmWGv5FfCLYgI+ux6N+25WYCqw8w+Dhx8/FS269aA3x/1ctcFXjlJwoGjzwaQpYiG7dIdP9ytf4kl3/z5s2vv/76z3/+8927d6VKGRGR56dQtSxXlFIelRaLR65PT3/7+PEPP/xw9+7ddDothyQVEPm6A4EQ3VqEzBw5lAAABYE6x583wLO0AC0R04IvWsPjIuGclz6TmcoYFERjnIGLiLFHatvkhT6Hg1OKMqvXyjxmYklKCDk8PHz58uV//v3rP/7xv/OLC9VqVWXmFq6c1UwpSIQC0Pb29hu3bj5+/PhPP/zlxq3pZGeHRLXm8Ool8Un05hKrMPHSAVqfhCtafKIW/NEaIc1DbtmJvk4YSUC8foVguQ8/d6CgbBjHrpl3Pl847R3gOAYncYYhGlqazhnSC6JYHgG5gYjpdgMUI9S0+CxuJ+IXq9ziQyktl4ubG9urq+vrq2tra2uLi4uLi4sLSwsn+byKikwlKksEJMYYtxnFYrGurq7x8fHJycmx8ZGxsbHJ8bH+/v5EWxIACJUYY1peZOMZCeH6n/iAYtCc2VGI/uqYmN0g+AZZ1vIo/mH+qt/A71ew/fjJYL53Izmo41cnbHq863kr48xSlFJqmPxkWQaAjnTnjRs3IpFIX1/fx48f33/8sLi4uLm5fVoohOWIJElIiKKqqFYVRTk9O4GZmXKptLGx8fTp0/7+/v7BvoGhoe7evvb29pAkAQAiMFTEPKOgLR/MQEutwZamWaIvnfnOv0LwTmCMudLxvh750oI/WmPgImGXJm5nrii49QQRzW0fRMpngDUeIhIkRJChRjwaofa8RUa1BlGaUIkQyGYzt2/fbIvHBgf733/8MDMzs7i0srW1VS6XQ6GQLEmUUkVBxphaVc7OzpDA2dnZ2urG8Mi1/v7evsGBoaGhbDYbT7RLEqgIhGn6j6EXiToJbyWA5pozdDajN2yBco307BcHf1tzq5e+QohvvzU8mofmYA+Oz52N/1kmgBXg7H9b5LYrXMsgoug/MVZrXErWrPMiUGMNKRxz+wUV4la0Z6HEtbzXsQiXOj8HGDMdFYwcrE5d0NYbhpWH7xVi8IkQ0djXzJmcCEDbGUQ7BtVWJwdTAUFVq4qiKPv7+y9fvnz27PcXL16srKwUSyVVVRkBwlAFlIRs0AQgHA5nstmpqan/+tvfnjx5MjIy0tmZsrLKCQCj1DR/i+/Rsv73gM+YsSdhbgje848nv6aumusdt86rvL4RlzI67L1KzQnEWlttb7Yxbk2DEVrO8zOIiIQhEgqEMVBVdX19/Z//978///uXFy/+2N7eJtyoxPi3zElkEiFEogAA8Wiif7Bvenrq8Xff3rh1Z2hoKJlMyrIclvVoNEL0r4kRQpBQ2+ARe0PcpS7InPMZzS1NAlVms52BsELTIz3NGdulhq+mrxrDVdNnvMa5cybRvms3/ZMQwuV4EHzN35cT/vO5eIbjyvaVKGJcfqbEKcprPqlQFfckEQAAhgaPmB8DACFERXPuYoqqKGxxfu5///F/v/766x+vX+3vHUqShEwrw5MtUkqRMEopQdre3n5tZOjGjRuPv/12cvp630B/e3u7TPm+qyhpQfsWZZuH6HPuqqFvmPOkQ3u5su/u0qBpAsII4foqBUKsWSlbaAz1ypeL7vO624PojCEAsC9ynVcZxSznm366qyavA6JlJ/rM0LITtexENrjaicD2on1BdMaNrbBoJyKEIKqIyPfnsmSGFutHakhum50IdCYIMnKwv7+0tPD+/fsPHz4sLy9vrG1ubG3mTo4ZY0jMPexVVQWVEULi8fj42NitW7emp6enpqbGxsb6+vpSqRSlhBCNtgAAXP+z7EprWc8HcEJe8Nr+atqJxAvrtRNx3dpy3/rtRE67njiqjfEmRgcgYQBUIpRSiRAoFIprK8tLS0tzC4tzc3MzMzMrq6u7OzuVSkUOhSRJ0qyHqKqqKtNQe3sinenq6+sZHLo2NjZ2/fr1m7em+/r64vE4AaIyVf8iNDsRCOPHXFdwhUN4LmMuMvrka17HcjuRU5rYXegtO1GjuGr6TMtO9GnhYycy/Bz+GqPdsPvp4LQCcGgpDwmxeW78R53Vc2ZG0IvyhaDpIdPrYZIUokAAyEkut7q6uri8NDc3Nzs7OzM3u7ayur+/r6ooyzKVQpTq61JGZFlOJdsymUzfQP/Q8PD4+Pjk9PWbN29ms9loJEwBVEUhwl4ZhkyhQJhAUDVehGb7ENWzT/+KPjGcI8R4j5RSzsPy3HiuhQD4AuxErr5MfzuRZ20tO1ELXxt8KHlXQUvgsOp/DIBqhFwLL5cBAEHa0LFYv/vxVYaznUaSILNMAGqlhZuN2h5hxghxso2cNjvtJ2YyjAw7ESJSSjk3GxELheL87NzLly//8Y9/vH79+uTkROUrbSOuB5FQ5IFpYTmUSCR6enqePHny448/3rtzd3BwEChVVcajgbQMAIJ90HLM+yTweL7c985b1djNmrm2PnjGi/lOIEFkqmmlskYyOm9kOzbtSvqfkiTJslytVo8Pjz7OzvzrX//6448/Zj/OHOdzDLCiKKhwdUECAIlqtkVFUdoTbdeuXbt7/85f//rXmzdv9vT0xNsShBCZSuZMSO06Om+5zd5ha1uwUSfazj6T7CGB4TVCeAbZIByHqz8Dt9AMvOxEV0cD+dzgLhc+F33Ghrr4RE5YLEe63Z9fD9Y+seQlFKZxrgVxWxKlVJblSql8cHT47t27f/7zn69evVpYWDg9PWWMKQpjjDEetqbfXVVVwkh7R/vY2Nj9h/f++te/TkxNZrNZvh+rJEmGV9L0KxDCGONB1rZcS2AVhV/DN1Jz3LqOENsEQr6sPBItBAf/mkR10SAMuquaAZgWXyFadqKvF5+bncjYM5sGtBPxSxqzE/E/r/7sYG+zkEzaBldfq5PHIZY0LPGiygI6n8KwKDEQBhJSQ81iqPC00+FwmBJaqVZ2trY/fPjw6uXrubm5paWl9fX1g4MDhWe61qdvRVEURSEUo9HoYP/ArVu3bty4fv369WvXRvv7+7NdmWgshgCMIUNERG4nYoCUUi87kdjyuvrzgnFV7EReY4bjEuxEtmr9T7oea1Q1RKVSPT4+3tze2tzcXF9dm52f43mLtrd2FUWRZVmSJKpnz1EUJSTJbW1tXV2dAwMDI2Pj09PTt2/fvHXrVjqd5jXzAATiSGjlP0hE3dRuY7IMwpadCKBlJ/pa0bITnTc+bzuRnTLjLWKCMM7c7EQAOrPKy04EVr3IUH4opZIkAcNKpXJwtL+5ubm5ub26ujo7O/vx48elpaXd3V3GQJJlWZJ4bYwxVDAUktpSyUwmPTg4ODo+Nj09fefOnenp6WQyqTWI8X1AtGUt0WHNqx0UX9K3cy52oha+ZgQfISJP3P7TlZ85LxTyp25ACy34Qf8+GVi/Vc04YCljHhsC1nTIOMpYyrutk6/s1CDKTu7pMs6jtVjNmEST+ex4WILA01IbjjUQ2Eb6r5RfDaadyNyHlvvEUGVnlYKiKNvb23Mz87/++usvv/yysrJycnKCBCRJkiQJkGpca4kmIpFwOJxoi3V2dt6cvvH9998/ePBgeno6FoupqopIKlVFZ3nwNJWUEEIRgWnGJl1LZgDAI4aCxDN6/eqPZjhooq1TOwO16W36Cfe3Vi/sdkPS8LOI5SmA/hKE6hhBAKBCUf+7WH6lprESiT60EPU8RIiIlUoFAAgl6UxXtqf75s2buaPj9+/fZzKZjmRqvm0+l8tVKpVKRakqClfHw+EwIp6enubz+fn5xXfvPizMze/v7lWr6ujoaKqjIx6PU0qpxO9LGCJhhFJKKCLoOdq1xRkTpxGRc2fj3wXr2y/NZiSCW9y8euDKTrwtXBqCiOMgXOCLPr5q7bHlPzaO9dYSW5mLbr8XvMowQHDzzznki6brOGUKd1Cg7loU9qikuq+R6n0iWucBDPMQJSCYqyilXJ1kjKmqCgBEoj09fX19A3fuKIeHh3+8ftnV1ZVMJhcXF09PT7mIURQFEQmhkkQY4nE+d3h4ODs73/v+4+L80tFRrlpVh4aGkh3t0WhUoiFKJUIYIhKQAIGLNAIS0VuIQAkBFDRh/3720m2ag1jdZUzTLVnQQjPwJCR6FG4ZF13R4hN9vfgs+EQ6xFFql+7O81afmtNXb1+D8QWeIXevZlQzGpsuEdNeY5yHgLq1x6RpVi6kJ2CMcfu62F+a/qFFllF7hdp5oJSGwyFVZcWz04WFhd9///3du3cLc4sbGxsHBwenZwVFUQghnFnAkCiKIklSIpHo7++9efPm9I2pqampwf6BTCaTTqeTyaRuGjD3trdyxwRuNmGgZxf2shOJ+bm5H8/ZOTUJI+DPRxN6Ujw2u0q8Vu9PAND3hnM/9tcR6/1yG9P7ib5bosk4E9ckRALj67O2nwFQ8bl81FwHZ83WHq39QsYio2F8XHFu0cnJyd7e3v7+/vr6+sePH9++fzc3N7e1tVOtVgkhkiTxiEhUGWMsHA4nk8murq7e/r7Jycnbd+7cv3//xo0boZAEAKqWPpsQQlRQQX8Wjcms5UZFYRzW7k/dWFJ7jvoc4aVdBB+lV08StXCeCJ6f6GraZa5aezyP0ZxnkNi9bkb7RZl47v3j1Vc+51FPQ2vlCFPTyOwiH81n9Dov3tdwg3H+jmHTF0HQoRtoIoZUKpXj/NHB3v7ezu76+vq7D+/fv38/Ozu/u7vLhSMXMfxBUGXRaDSVSnV1dfUPDF2/fv323VsPH90fH5skBAgBBOTsavG5CM+RB0F1AKPNRr+dH4zarop67MMWsfF/W/h64EU/N/70WuTaFgKt8cPxBfCJzkuf9qrHeZ6ASVjwLx+kbUHK1/uMlnU9ADindS97gdv3w4SqGhMPXjUEfy6vMs7zFNxbST2OARwWFlcj0flKHS+bjhfPBdH0sxEE4IYt3k7vRhk1WBQjAjzzLrehaLuYEUoIQS1DMCCgphsRAKG/CNHoEZZhRQRdn59npFwu547yuVxue2vj1atXv/zyy9u3bzc2t6vVaijMc8SEEBGREUoj4VBHR7Kzs7O/r29ycvLBgwe379yZmppKxKP82VVV1RYUlAEFQGp/QxR5mwkhoFnQRM3SDgom+YqgZt5ydKTnt2mMBIv1xKpJAhA3a6ZXeTAbIL4s7Yeg1nwUePKGbo2IXvndjasCHlusWgQQtC17rc9it9Uan73tw9NtJdw6aelhRCQUGUFO07FeJ9gH+bU624g3zHD8UllKZ7oy3VlVVU9y+eHh4a5sJp1OLywsHB8eFQqFs7OzSqVCgaAsUQwxph4eHu7s7n/4OLu4uLi9vX16clIqFnt6etqTyWgiGg6HNRsZmLMBQ0VYt4Dxk1bSoz/1x9T6yVRttXck9MM5TTtE90sbfSi+ELFtNddvQe8YKDGEl91fY405zzfUJ5dpgzsvOX4V2nCx/WZYnA0FndS5/12NuQvFecgLfs9V4/sN/F2cl6s6SD1GGWMNTSiacuHc2lN7PPjfxfKr8KaMd4ege4Ms5Rl4f/7Bpyjb0OBTNddwHHVSIKCTphnoIoZSGgpJfT29fT29bBoPDg76Bwe6urrSHV3Ly8tHucNCoVAsnFWUKiFAKRApVK1Wd3f3Nza23n+YXVpa2tndKhaLJ/lCNptNtrcnEgkqcZ8ERUSKSCnl6h6gxbMlto3LSuHlMl18UOKib3M08xV/GiNRsG+NP6MEn3KRH2Tu9f92bCs423rTa05rZq72XzNaPlTHtUHmWK97GTXYntHrWQLMOb4qh6a+geT6qyiMjDN2/24g9aN5WXmFPIVfQH6vy7cTBT9/LnYiY3Jv7Jv3g9PU6msnahjno7NaCRpqXdf61Gku6vRT4NkV5wb/uVY8Rp3RQx1re9eP19mnKESW6bKWAQAz7BLGIzvsCzY9j6v1PGYHUYu7QVCNPgyHwwCgVNnWxvbz589fvnz57t27tfWV/HEuf3pSLlURkUjcb0kVRQHC5FAom83eu3fvwf37d+/eHRoaSqVSbe3t8Xg8JFN+LwBNTSISGPcV/ITMlpPonN5dU2skRB9tNnAljjPOceJSnnN8PMo7j4NDvKPB9wGrTmaRst73IrafnZYLYAioWX4FLZmBCgAEgRDJyI2FerZRsE5rhv2FKWqhUDjKHedyua2NzTdv3rx+/frNmzebm5uMMUIkKksUCGOMBydEY+FkMtnZ2dnf33/v3r2HDx/ee3B3oH+AV6sCMsZs3CgQPiVOlPPrSXR2mj1vWo0aztVW4qUVir/Wez/D2et005msK1eq3fmna/1K7USO7r1adiLXEeIzezemrdaaA7klgrqWMWpwmb5qzatec2y919ZbjwgEJLrHQnxG/XwzbfPrt8bki73xqN9FmC50/iap6y6u7UdAY75F1707eUlG+L0JIVzzFOd5bbgyUq1WTwr5XC53fJhbW1t78+bVH69fvXvzdnd3FyhBAjINce2FZ6qOxWKpjvbOzs6hoaGHDx8+ePDg3r17mUxaWzEzfRq0covAbl+z84wEXYiayRl0+aKDiiqu6yTsjU+zgnWVQY4ljAoAhEiflAnS5NrQ1ZxXs89tVzUzz9th2VDOa2YOwMHRP956+6dxGYTCak4/o60cjTVLwKrqxBdlJ/qEfKLm9RXnr1BnnSIuU2v0Zwe4/mo7eSGt9fhmmudDiSWD1GnC23Z7Plq4ZanG7+g4D+L5ump3q6FGe+yXaBf5P5VoA6LO8+IZjeNgZpsGMDYpM1LKINHzKYJ9kkVElStIiEi4BkMoECKBpCjKwd7h8fHx/t7h/Nzc06dPX/7xx8zMTO4kHwnLVJIolQEBkSFiWA6lUqnOdCqTyYyMDD98+PDu3bvT09MdHR0AwBgzWCHac+ltAbCszAlB0ChBKs9VpCVP8vAY1MK5zc4eAsj5dbt+O9qfXuPN+zzTf0YiPAWxlHGUd2lPbVA+ZIhXi5hwlvq02eu+RvAJIhKB/yXYg1QClADRCgAjBPQNZ7jXFwCAj2QqS51d6c6uNABMjk90dXWluzo606mVxaWDg4PD4/zJyUlFUZE7fgmplKo7hd3N9Y3F+YWDvf38cS6XO5qamkhnsqlUqq2tLRwKq9z7raKRL0lvuQRIvFhgzrwYIrw4XM5fz2su8q/Hjc/jdZn929HnDQaAXDOzLUjM96g7wK2NMn2MiOgWo1cv/DUHJ4LorM7y4Cjp/NW/hcF15Xq/38ZmNuZx3FgbTNjkbE3dvZkx7zYHMo/zjnu5Gf1tygkR3otnPQHu5X+sf3x+ckosqe2o5ZAFbkYisf3OY36Vl0xhjsFvr6eB9R6fz82H4c1Gx7ARjoXJycXBaW0zNUxNfNiBpGkYnN9KCBFnHp6tkRAJkTvGGCGWaV8K0Uwmk8lkYAzGxka6ujo7OzuznemllZWDo/1cLneaL1RVFQhQmRACp2cnJ6e51dXllaXl3NFx7ugwlzsaGxtLp9Pt7e3t7e18ZwYESctzbdiw0L3fECgQJjwjQ2G/Nn2OPS9coXWsAR7zXg8am29rjue6xJNPYeb2Z821ZAPC0d8CVXvetbmCfMoEsI4FRO0RSJzbj2hntG+5/psGbFXQFnrjCn1Zn5BPdL52IhGXMxsGt4k6W+W/VgzShiC2m5rF3L/qOi2sQWR/wLVx7bYFbokngoVCuLVHs8I0rqn639VYEoP+Cpy598W4fWeciFdcvRiL5MztIu5kb5wnVPOtiW0wVn16Ugmtq2VZpkSmlORy+ZcvXjx7+vvLFy8WFxdzudzJ6elZqaiqKl97A1DGtBTCHanU3bt3Hz169PDhw6mpiWQymUgkotGoLFuM14ZuxPkXlqcWIhT0nER83uceyObtRE350j04EcxRm//ar97ZrN5rG1/jATDhGV2tA7XqDGZ8RX27Mct9CdPVZaoX455eYnh9QcifJbpP1apSKpVOC/nT09P1ldUXL148e/H7qz/e7O3tAZUIIXxfGz5cZVmOxWLt7e1tbfHBof5vHn/3zTff3L9/v1PfEI0hs6dZEXh23OcsKitOO5G1x4S+cuzc5xMdVnPetvr/7WtaL8uRy/nAdiK9883z/Iy235nlVz4zG5VqCzcrb1RbuYlXNYGAuoRNmAax0TT7/er9IM5jYh9a+sS1DVabWlC40QqC29Gc54Pe0Ynzc/M27bsyZG5tR49d7tRJ0wgEp53Ik8sj7reon/dtUhBbpJcl1DTKCPOM7UJ/eer+purVUYPY0VyucrkLl27OGqj+ATL+ndrpqwgAUK1WS6VSoVDI5/OLi4u/v3j2+4sXb169PT4+RgKEypIkISJPiRSSwvF4vL09kUqlhkeuffvtN48ePb57925bWxt/IlXV7UScS6v7wCwkDkMg6twiUXdy9pvrSLBZ8J0FwOTs+Kz5LwRB+EQGGuJGncuxoeCJNiPn2i34etaJmnYi15J+MPQTbvckhAAQROaVP7EhGprLTfXLvXwPddnm/O4igAnKmIed3fszCfbItpdyhSw+jeES+ET1yunG1mYXt5ry+jXIeX+Liesc4Wrica4nxcLOvhJnK//WOm/t/6Zc71WzHq95zbNV1m+bBOPiBBoDDRtGm7EQecFlheYQhtTDmCvafbyyGjGd7kGItiWZUUbgE5n1M0IRVaoZj4iN9a1qS3DN5UspkYiMiKcnZ4cHxwcHB8vLy3+8fPnHy1fvPrzf2dmmlBIJJEmilCCiqqoSpe1tbZlMprs7Mzw8fOfOnbt37968ebO3txcAGIKqMmQKABj0IUqIpv1Qsxfcekm0Cp3XvBzcMusK1xWmV21N3ssJ6vYlNr+6DoL67lKLjayVMY8JMERq+lQtephT8RVNRQa3KNmRSnV2AEBf70C8LZnsSHdne5eXl/f29g4ODvL5vKoipUhliQHmT09yJ3m1WllfXz8rVPLHud3tnbHxkUy2h/t+Q5LMABljjClaGm9EIFqMJFOBUJF9oOnx5hNpdG5KrBm79Q17BP2sCbcOcfStF1vBq4z3KY7aMpHvTOj8Ve8Z4zfhC/fcrNbnXuc1zpnjwP++XjW46jaen3nDzowA7akNbw6vE/7d0owN+rxQp/boXIwS60/N3qtZ6M2hjjP2Y7er7PBaewd7/64yy+CzODVb/9Vy0N4LNjjrtJBqGpStPaivKiXhvPZchlHbImJUbUsFORzqiMc60p0DANlsNpFIpDszAz39Sysre3t7+4cHJycniEipTKmkIjvO5w6ODhGXNzY2ioWzo8PD7a2NkZGRrkymI93V3t5OgCICYxIiqkaOBEAJeD4jRkAMdWZIqBFaqLOKJEQtP4sgiYzO1GzQVnu9WaG1ZyAIx+R8Efx+vmZQA0HWpA0fU6sCVq9UCr7+9a/Zf30tlkEA4iGLLwHB1+BB1ps17qV54Wuhief/7A1DNlwCn8jrLfr74oIc26+tx7TcjMevGfh8tzUtO/XaVms/o7XHtBpq+Zp8WhikV13Gg5N5gY68ts1AXCjyWzRgAq/TouzREvMACRiyGsFqh0I9TzD4rgy9WEW259XAzGPNuiTwififKhAAoGi+R4MTob0XQigAYwrfxSMsRyoVZXZm/vnz57/++uvr168P9vdPC2flcllVFdTjbriPgjEWkuWpqanvvnv85MmTe/fupdPpWCwWiURkOUwpVRkjhNgi8CmlyAillHvSxCfltiSqUQ/Mqaw5/+35jDrd5QgBGBD1zl3+qGlnb3jF63IvDz6R81k86rQsU2rMDOZJvn+w5RdNx7UdGyYbsR4ju5Zm/VTVSqVSLJzl8/m5mZlffvnl+YsX7969Ozs748PSDP5jqiRJ0Wg8Ho+3tcUnJsf+9MNfvvn28a1bt+LxOCIyQMYUROK6V53AJzLdzvoT8X4j4Pjqa1rQDNQ1VERukfU8wPmtAJyvD5EgqmLyJluzrTM/N1IjWPZVpA4PpIjgGnnwkl6eD3+ehde9/NcATjkr/hlUFwqCIBOmdR4LjqBtu3g+kT8cb8HjA7DxdERyolnmAthDTSHAx2wtEmSM+Y+uetkNtWe2RvlE9UG3zrto0U5Wka1JTi3LZthmjJWLpbOzs/zx8du3b3/65ZeXL1/OzMyUKmVZlimVxYBcmZJIJJJIJJKptunp6T//+c8PHz2+efuWLMmIwBgyxlQhTQxFiojcTcZ39yCOTT5AIzo53yYTetJ9XvLkul4NBJ5AbNYc24Ocr3fBWWcj69l6+jygvHNdu4kLT+q4HQM3fqvTl2B7EUGmwcDcRi80wDlwqd8ZMSfGc7jsNuPIlfbF44rsd9bY9+nwjrp54XznC+f5i5sH/ce08wP2min8rTM2q39dHWvckQh3YW5zCjhqrs8jZK3Q9Ul9HLnOu4iv2LkysX//54L65gjUXeNGS+rRZAh6MoacrCJgSHRrkWs8GjH2LNP5RMZP3EKkacOEGWUIAhAgBGWJSoQSIp+enh0cHOzvHmxsbMzMzL1///7Vq1fLy8sVfbtxIml7wTLG4vF4ujPV3d09PDw8PT199+7dW7dujY6OyrLMOdVMVc10SPz9ot5UBoSiYSTy8sLXYyTy/xKdo71emW2rzaaH+beq+fmnZg01p4WgT41AkaCbHdOu/Xjq7pZTdXqEUPXiGRJCEC32blE0iFFgiChJUiqVSqVSPX19bW1JORzO9vSMjY2tLi9v7ewcHh4WCgUAKkkSUElFOM7njnLHACyXy1Ur6t7e3tLi/NDwcG9vfyaTaW9vB9CZcR6tR8L363FZM9vsR6B/oa6jurE9yLQO8eht50x6vnoQIUaaDK9P2QDXUHl5yn37+nmftY2XNHSv33slHNwG5H/e+avXsU9tPpU3MzsB+E2YTCjjH8PbmFXuKqw5HW3w6AzbacFIVNPe53rsbEO9bzBAeUuj3ctbn8tLzzSPrfZlf/tpcE+hu4egMW2t1jX2eyG4RxQyEGdjlwW2wTPiWRo1+UK1ZHmi2inLcrSzI9XZ0dvbH423haPxvr6+8fHxtbW1rZ3to6OjYrGoaU2EVlU8yx0fHh9J21I+d1opK9vb2wsLc0ND17q7u7uymUQ8QQEQgWdvZIRxwr25fGWEs22Jvpkg5dRWysAqL6wxrc6RyZ9L9HV9StQvj7xmdf81VL31++uQQdZrXqjxjQSooYH7utqS7LCaeJhj3U0d36/H/GMt4+DuBUdwf4nX/CN46RzXiLkv6myY6x0/M1wRPlEQedP8ms15X697XQR8NCTXjza4xPW6VizjsdKzJu/g5R0MiCD6d136jcUYJNqqQfcVC1GyTrjeyyjp4upxev98LNnB7Ur12YnAU8RZfJV6IwD4BvYAup2I22tcN0IS98E19kE37EQGX8noVWOXKBD4RPxyxhjVeA1mHK/B36GUylQCgJWVtd9///3pf357/vz51tZOoVAol8uKqmoGHSLxgaSqKiL29vbeuX3zhx9++OGHH4aGhhKJRCQSkaQQ3/OVPztXycT3Yv6r85JERgY45u6GYiWC227q1uO5H7LOVp3v/NOMbhHETgQILnYi6wqKl6TgMfxRyD3kdOy4gmk3ZYadyDaHONsj5g8S60dERJVfgkhQZYqiFAone3t7z58//+c///n27dv19XVVVWVZBqD8swIAQpBSGpLkeDze0dFx5+6tv/z4t4cPH05OToZCIZWBanwL3GJFmENtojyszHWEeA0byyRWy07UpFm8eTuR96vUPJOubkk9TawIuwzSC9Qc2zWtUU54refF+j+Vzuf1VdbRqpoCTi/AwK+fjbkawUWe+vehWeZT84nqhuNJr7CdqKny7qhlJwpyL3/7rOOO55BDU6zN5Jka9Rvqk8gn0jUuZr3cxi0yn8ImVtyPVVBVVVGU09PTvZ2tX3799adf/vX27dvt7V0AkCTJ0L35HCgRGgqF4vF4OtP58OE3P/74471790bGRimRFETGLOtzSXAnqIASQae+5PRDGO034MGA5mcsWqpQ3vKkF/Txusoj3wnE3/rf/BcRxE7kLB8EzcwnDYN5jW3/OcrgnArSnIJ9YIjrO3c4v80ADfYBFe7uvMp8CjEHkxjbYVuLGefrRyDT21XGJfCJgnRNYxYHVwTUCxvUsQzU5BiLGjCa8d6ud3E1GzVjIar5RMblugGgBkvT9S62X12fovYcqnH8LEsmCmD0mLuXw1Gb0+Blv4UTIq3AlKnnkBuiPuijBFBf8PIzZtZqYh6gvu2FsR+5yRtCjUkExsDTls8UtbmcABBV5UtWc01uWzkw7U9ttSBJkkRkQsjJycnW1s7u7u729vbS0tLMzMzMx7nFxcXTQp4xJtGQFJIBKGNMqZ6Fw+GOzlRvb+/w8PD4+Pj169dv3LgxeX0qlUrxSHtFUYy7enU3AaY/KEiEMkBwyQHMz3DLl5NH3QyaqYES4qnEeN8rwFxUx/Ldqx6v2S+4Xbi+u3s3lukmPvGjM+w/7velQBAQNJa9tpq1djW1WKkEUxT/OkwjqWHDQiAE5Ug4loi2JRPJjhSVpXi8bWpqemlpYXV5cXNn+/DguFg8o5RKkgSSrCisWCzkT08ODw8rlUqpWFleXh4dHR0ZGx0YGMhms/FYHDhdzlDokeoGIwpIgQBQBEJ4tIKFMyjOY8JuzVeb6uyhR2p5VV10UP72beXdHtBrxeIFKjSmXn06iPYZfM3vXybItUHWIcHt3Sa8+PPWr8m1Zl6hcyYKqHqd49rmslHz67sIFt75opn1fLAL/IdBvaO3ETh9bwR4xLG1kN3ULsgs1FI6iiCEWM/ZrUi6ywpNi5LusUNEoBAJh+NSrD3VlkwmGUCyo/369evLiysrKys7u1tHx8elUkkKyRKhAFCpKoVCIXeSP8odKwo7Oy3Mz86NTYxfu3atb6A/k8lEI1GVK8+aaxW5T0ICAKSMIZUADMnCN1Ug1Pp1M30tY6zPfTSoGvrMlZdNIoJrR14IYrUPbqsSf7VfJS5V3PjFwWWHhROglwkoK2t811q0FgBYRwJfbvDxCd7ynfuNdC+RpT+NdQqlTpNF8/Yyp+VL0MeaqFeo3/la62jPJ8cn3+/MieBrGC+7Zr06k9cX5WI7rxcB/E5OBOE7BLcTeT0vgKkxWH5tdK4PaCcSb23uPGo9NqFLXPu1Vj9njXs5TT+u/IV6H/zc+ES8MWiGjzl9PhavlK7cGE/h/BXATMtiYwzZa7Oe0a4SKDyUUmCoKGx1dfXp06fPn7149erV1vbG2dlZtaICAEMFEYFIetoRpipKKtU+OTn5zTff/PWvf71+/Xo6nY5GowyQUkpAIm7bVRoNMPhBBJhmFNP9YDozhQGAvhuU+J3av51ga86rAnEG8xxd57kQsRl5g6xvLQ3x5RN5wtRo3bxMwuD0mufFW7rPda6TBli/DvEn/Wuihu8LkSiKkj/Ora6u/vbrT//5z38+zMzt7OwAaNt1MV1do4D8M4nFYpnu7DffPv7rX368c+/utaFhKkucUqd1i8AtYkABgHINSTfXm8cOuPSqW/lz1NTrH2j296X3udNOZJY3037b67HMz4Htvw34XQP6lkTU/EZYrTLBr3XX9YO31agHEcXMUD4wvgIP765rZ7q/X+uxLLYHvB/kCi84bXCMeQAwJFTddsPg47D22LCKVG2Kqckmq+e+zTMyaqMxPpGRW4TYdgZwjGqfT0ngQYigouPBVo8+ZWk7b4Lpq0MAMzUeAPB83+Vq6fj4cHlx5aeffnr27Nnc/Mz+wRGlVHOa8r1oCSOEUCCSJMXj8b6+vh/+/Kcffvjhzp1bfQODAKAq1jfO51uesogwW3c58voZK1i7t5i3wX+quczvtDk+UXAEtxPVrMfsW2vN/vOn7Vf39ZE40pzfo9d+l9bLTbkAFmlb3zdutex4SQ1/fr0oEZyMP+7j1rbzM36ylvSUp158IicPDmy+OuuxkU+2IdQ1kK7WqgQuPT+RV2f5y1GntuE8tn2HPvD3ZohrTucEVJ9c5JE0XvasAPw6nxv562ReZ4LUQx1TcYPWZbeTpkbOPTOIiKgQQlxnFgDDo2OZsxzfa403IqxLTfhLOItHyHqVt1HcpzrfH3md1LIlmdh485i4nDcOGKB97kMqmIGoFiMAqrETk1FYK08YAgIBWZYlQmVZPjs7W1tbX1lZWVpaWl5cmpubW1peXV9fPymcMsYopXwbe0RQKiVJkjrTqd7e7tHR0bGxsYmJiYmJqfHx8UwmE4lGjIh68XVwE5YkdBChSDRLGQIlWLurbUQS0GWq1zq3Ed97MFikncMr4lV/g1HZWGNYgfe82rwHBgBEbm6dFxKCBNCUwQyAEMvMgMDzbNk/B4bokrudw1Hesv7X1CCwqESGvZIhI5Rw2w/XkGU5HItFopF4OBoJhUJ9A0MPlpcXFxeXFuZWN9aPjo4qZUWWZUmSGCE8mqBQKJydnSFi/jD/5s2bsZHRsYnR4eHh7u7ecCSCgKqqoh7IQEV7vabem7whZ2YxbU80PesRIQSYMz4LEOtibtshdnb9WlFwD60pr52arqP9F0TRoI6P0flten07Xr+6FnP+6XrG+dN56YsWy10QyUUIAcsOkraeCdgwz5VPsMtrwv29WIcLcwy/2nNy8AHnjKgljvPex17lIcCxd3lCQNtD3bIjKP/TsJtY9s1wtN/tSfmvzvHvhJcM9ZGtDdhq6wNf6XGdx4iUEWBKbWb0geEts9q4DT+WzegmLMIlzh5CRC3enyK30vIylFKgVJblSCwci8VikbZwOHzt2rWlpaWlpaXFxcXNrfVcLqdUWSjEw/OxrDBVLRUKhWKxiIi72zuv/3g1MjY6MTExODjYlc3Iksy5RcAYcG1Pb5CYf8CqUBleCs1oKzrwEFWw5CqFID62gDNMAzgnZgd42EFsjA+vGTvIbO+sqqY4sP8q2HYB7DKR18xzY7lwP4keLlALNo3LOHZGwPhpxda2eVmCqK+ySI076qwixygS9ret5Sl0nre1hH/pVBz22rMIFYvH9UScBde0r5w9yAuXzyfyMRU102uX0+PntYZEwX7vxfep9y7BuQDC+sQt243jOz/HUW6+ZT4PinOcw3vs3E2pkZ4JQhdysyKZdiIPt/b5w/VjdNqJ0MOcJLKL+UmmmuURCQADIeeijWeEiObuZgioMkLI7v7Bb7/99tt/nv3nP/9ZW18pl8uqomU4MrqCUso5R9FYeGxs5O7du3/961/v3r3b3dMXj8eRB90QiRikINsDUkIRDAWFUOQNMJhEAMCVLUIIAgGCTnu/9b3U1ma8ceF2IodfRbQTBQACkIArmSB2IqezCxzlwa0AQKPOXjD9vQzM9yjOAIxoVnYERmx95WYnomDlrRhzrL3BbsGAhi3V2BGGvxHDfioRWq1Wj48P5+bm/vWPfzx//nR+afHo6Ij7bI3kR5xVVK1WZTmcSCQGBvr+8uOfvv/hh5s3b/b19aG2fCPGasE+52guQGLYg5zTszULqTmz2fTFhqep5uxEjtpE/rbgz/eWd3ZfH7hN4N5LEZuWH5zH4QV/O5HrTV1/vRIaYRMirMmn8OwiXzpA8GotNV+unci9ZDBbz4UfE+EUupURWwsez+J8olqo107kN7oaEzFcdhh5RoxM1doZI6MKMa0kxnkk9q/eyYUUdUJbI42pWOQxMZ6GX9C4GDNtAQQppbRcLu7v78/MzPzP//zPq1evVlaXTvIFSZL0sGVNr6CUMsYkSWpvbx8dHf3b3/725MmTqenr6UwXl0S6ymRugWbzOrjKHafZS+8EQwd2sfbaqroEJdkG3wnEf86nbvLCpg4FWfP7SASfMn7QBZzn9yLokOcsX0Q+kSBw680c1MBNATxGjptV14R+iefb8RghZh5et2HfJALqIVdCKwiCy9/vzEdIBLG9+X8VAe0jNfUG5/lmfe9ibVZnXZCxEuSpqT7NudzRqyUODQH1Cr28Rl722oCzlaUTUMgaaJoJLPEF7l+4o0J7PWJpJ43IZnlx5RMiarQCrwsDo3bPaHoMEkQt0kpvg6WdiPpG8+I6Wd/SwiypMgCdjCGsgY3OREQCfA3MzDMUJYlKJBwKhSoVZXN9Y3FxeX5+fn5hYWlpaXl1ZWNjI5c7RkRKZc4hUlVVqVQBoLOrY3BwcGxsbGJybHx0bGRkZGRkpLu7NxaPUwqKAkZ+FhW4IQiAayeUADAjIQsQxo1DBAgjCASobhEx9DxiHjLDRuDtwbhk2L4aT7+KtcEUkXmIJ7fZqQ5B5vyKbZ4uqDX7nZcWYq9HtxC5zPnG9Ig23ycA8KxPwk40jLjrEOIcK+oZBKmx1SByHYIw04nKaWyMAtG2DaSUEoKyLMlhSQp1y3K4LdZ248aNheWF2dnZj+/er6+vnxTLjLFwOEopUZGpCJVSsVytVFVF/edPqyvro2PXJicnb9yaHh4a6Uh3UiKrgKhz6/TW6no8/2D5GoNRQoj+2YNRRmutJWeBBa6WFMf6WWMlgHDef8UbHN4TpZefVgTPkEYNv73t5wCeDKecCgjTaem4Nog8rffXy0ajenBN3QO85wp/O1oz8PBv+5WhaP0EXOsJ3kfWkoIe4lHm/I7ru5f4p/PpvGxG/mWCeSm8zgfXe73u48txACC6b0nbGZMYvwDRGcy64YybsxmPC9bmXqQG94rD4YcQW6J7GjiTSGsZ0e07XKmTkAo6GKWgSx8KRJYlOdwuhcJSKJxIJO7evbu8vDw/+/Hjx4+bO9uFwhkgDYfDhEiMQbWqlsvVilJVkVWr1fn5+bGxsYmp8Rs3rw8MDKRSGQBgjOtdzMlRtWvIIAoRF+Xf8Nw4O9wmaBpQkr2snP4lg8F/jHkxg4JoTV61ea2bvMq4w7WrrTWjW5ngXAELLIQaPQOX9bVelIVIvCkh7nqL/k3ZZbGbbziI74cIXys46mkGXj7X4PaKIFd9AnzC/EQigr9jEEp61eNV0s++4N0er2svDv4eV//y9bXT+va174cQ9L3WxavQwHqSMUa0HRnMeG9X74T3rRu/u3kLi6/bjvOYQdzbJj6sposg12BQLCO2E9GFR2MpRgljTIuERyLexbQlcT4R09P6Gg4xUBljTEHGWP449+rVm6dPn/77119nZ2dLpZLCVCGvBeWcCFmmBGk0Fr42MnL79u0f/vTkwYMHg/0D7e3tjIGqqqApDaYdRwUEPcqMIBCKTHzphFFKnXtziGfEXtUNi+4Ri41+pxfu/3cd524jzdfLCgD1r97rYU8E+rICO3sdHnuH55ag3d5nzSsh3FQY/wxsUUtU9w8LthWLP4oSQrQ8EVaNmX8jhBA9WpMC31INVV6eUpkQIlOpVCrt7m6/ev3yf/+//3n9+vXW1s5JoUAIUVXUdhLksxmAoigyJV1dXdenJ//7v//70TffjI2NpTo7EInGwnPrNGM8aH5sfXVhd/kiEy+0Wthd3kIQO5ETTdmJHHwi8RHcDOIW+VXP9NuAI8dfYjbrE/5q4G9TrmEkao5P1AiE8XzuBqwLlx2XcK/zsBPVq8P76eHenPegPaDLGgDQMhZxxcF6JwRgTt6QVe8y7URu7UTX9uhZisQyACCwuQnjNFlDs5IkqXCS39zcfPn77//7v//zfubjzs5O8awMAKoq7snAuM4WiUQymfTNW9P/7//7/9y7d+/ayERbsh1VRiSLiNHsVtTen9aYGmbYhvi14hLdLYswQHNfa5N2ooYmEJsXwVjb17R0uyK41nT584MIUfvyV0Evs51BYfH21dD5LTLdMUL4OpfrThK3T50TgvRbcEXlCvX/Fclj7a+fXXQzGnsfdrO6o1ox4ZYfrS4A6rITO7UfT32o1jIviNXJyyrvBU32EzOyzIw38V451HhHrtTBmt1eu4Bw2th/vWFY+tr03oBtBgewrKx8vlBEtK6ZERH5KleUuyqgzSpE9RzYXCmRZVlVlM3NzdmPc7Ozs/Pz86urq+sbGzxIXmWM6y8AoKqoVhVCSFem89q1oYmJqampidHR0eHh4f7+/mw2G4u3yTJVVURz31YKnB8EWnYDnveXEOTLb56XhfeCjUHg7HNvH8Llw2umcs4MJsfVu4bz0irM9T+xHAMA6Lsa21prmx+CrpA5D66BPNbCXag4hgkxA+rQpM9R8LbketmStBY6viObhmS3EwkNF6My+ddKKKWESBJlDMvl8uH+3urq6srS0vzc4vsPb9+9e7ezt1eqlAkh4XCUW6MURSEIkUikoyM5MDBw7dq1icmxGzdv3rp1a2BgKBaPA0CVIagMAIDYe163FvFjbR1SkzLpfcZdlw1iCXJq8+A4Qxx16nYi5/rK3RdSy29ZLxOheQRZMwTxb9X4ukVame1XB3PB9Y7+X652lcA+E76sc55Rg3itvJ7OxDl5aKjXWAVLh9f31P4rW69fG9OzG7TPulQSdO3aqAdCrM1ZcxDJ4ulRc97GvsrlJx3FuIRya5t7M3Qrkt0/Z7m1r6wx8scJdzRXqnbPhDXwn3PJec5HRWFnZ2f7u3trayuLi4tzc3Mf3r2ZmZnZPzyuVCpcZyNE0kQMIdFoOJ1ODw4OjoyMTE5OXr8xfefW7Z6+3nAkAgBcH0NQxfYbbCmxMx15WFwN95a52tXF6w//b6E5O5H2tflaEv01tyDzavOoe461rY8am7u8qrL50owjPVyBjxP3jNH6ThR+u0jVlDIOrkCQbAxBZLFf3BlX+IIMXRfLGgDYR2O9dqIrZAnyx+XHnfnj8o1E5wnnIuTi3GLeoE0Yv84Lfg1ARNv3ZcrRhnrMdSIIaAD1ojL5FK63ec0jANNKMxHxf7wqEf7VpHu1Wi0UCuVy+fTk5P27j8+fPn/69OmHj+9PTk8ZKgAgyTKVJAIMgFJJSiTCkVA0EY8ODg/cvn370aNHjx49GhgYaGtrQ0RFUVRVVVUzva5OGTXUER4xxE2EwI1EnDZkd/AF64cWzgOGqeiTzxu10QCz3Xk54XZKVAHQXCQQAoIe72S+IKKKmnEzEon0Dw4NDg3duXNnfn6xr79HluWF5YXDg+NisaiqqqIwSmkoFKJAGGP7+4ebm9vv3r0bHh5eWlw5Oy2e3jrr7++PtyW4rda5EZXrJ0/c8it9tqhvvBmff4B5gF66LnF1cTWmzU8yt7je1Dh54X1CGjUPnS8Efesy38KnFyUYtPuZwTAS2EMedbptR2vAJjUM+6+22Nbkjl6Aop5Xm9+eIKKuQUnxeHxsbHRsfPT27duzs7PZbFYOR1dXV4+OjsrlMte1CCGhUIgQoqrq9vb22trGu3cfrl17+2j1UblYun79endvTywRpzosD4LIh4Xr/OBjOzAvF57Rw4rRQt1w+AxM8K1jjGKNdbLdN+arTmiN0QZqg7NHkHaa30jTOl4QNNB7X/Oo/uRxZ4F88k3U5sUJPC98EtUHaj1XYM9Y0LARqMduHYjO7eBZiD5G0PUrBo79C912LjT9NuJ+kDqphtuMTe6DM9bMIuSEq6jmiUPQPS3OvUK8nxAALLqozbtoa4/miaIE0cjdy7lXImva9MGKOa3FWDPxofiBCsjA3PkbAGSZSpJECNnZ3PrwYebt6zcfP3xYW1vb3tnd29s7OclXVQUAeHIWxjMuInZlMtenJ29O37px4/rQwGBPX28229PR2RmLhmVZRqBGHiKHr0BVASmlxr5mxOLo1RLxirvYaif1Ulw5u8RpOshX5kQQLr34q/MqrzL+9/K6o9eZIJ5e/7ZptRkjSoTXnqwiXHk9Dt2Uv3Evj5BHm7wZRiJ3yedabTdirQESosqdsQQk08wEjNt3FEU5OTk53D/Y3t5eXFycmf3w9tXrDx8+HB3lSpWKFJL1DQGJWlUkSWqPJ5KdHd3d3cPDw5OTk3fu3bx7925PX29IjgCAoiqi2m3NWm33fYlzgvEGnbwhQojbbinnI7lq8Cnscc3G71pCfWMTk6YzIAR8KOc4b6Y3akreQKIQPHLbG9cKskD8svzmBz3w0bk7hN86pFEE99sHYotAI81z7w3rfmT1cejc6g88w9t9YXXdRUTzmnBjfDexnnollJPJXu99TdTSUd2/PgSGgGIssx6h7HV3J+dRaEMNVpG9DaIU47HVuvalnxQYRrYz2ubfAJxbRCmpVKonJycHBweb62uLi4tzMzOvXr2cm5s7zB2rCoZlWZIk5Nwipsqy3BaPdXZ29vb2joyMTE1N3b1/5/bt211dWSpJAKAofF8RBytEp6sCAHUsDI29F0DXfg39UzA/WUZLIx5ffmFdl5wnIbFeWeA1J9SL89ISa7dcT/chMoCcLalvvWyNm9F4OucoX6wCy7/PXXrAg0agUkpd5BEA+I3AIG88iGb+meFK8Yk++9781LhqdICGzc8mJ8ZmJDLg5QPxcuD5e5ZcJ7Vm5znH9ajnZCZ6rkTtPJ8HhWPQHtClVsNIJJYEx3LdWG0yHmAvzLaMsUKhUCqcnZyczM7OP/vt6bNnz9++eX10fIwIlFIpJEmSpLeBpFKp9ra2trb48Mi1Bw8ePHrw8N69e9lsNhwOA5CqogKqiqKA20qPr/y50OCrHbGrnd1u+Li0u4NfYQFXZOSfbzN8OBGud/HRJGw/ffq+sr1N3Zvkt7HFJcAwAxn/ajt9UAQkfDQaLTeoc6lUqrOzc3xiYmpqamRkpKujM5FIrK+v7x8en54VyuWyqqoAIIdDBKFQKh6t5BYWFj58mJmfn9/d3S6enY1PTHT39rQn2uRwRJZlrpR76DemzmTE09XUyRBVcAkyumS4zcCEgcfarB404/tphnkU8MIGHpCCvqz1koA+4NOtP5flXL2jQfrwikzR54UAr75BU9GXhE9G6wvMJGq0/sCsIrM8uFCNnJdoXyWXPaqqqkAp7ezszGTSU1OTU1NTo9euJZPJ9vb29a3No6Oj8lm5XC5XVeTcIgA4PT09Ojqam1v4+HF2YWHh8Gi/UCiOjAxnsz2xRDwcDnP6qlPEcDXRlc1hMXIRs8HGv3X2H6+IP3kjl7bQGMh5GnDcgYh80+LzutNFtLjROr9SnvIn5xNxBIkX9fHduV5er81PLBmcF3D5CM6ZOi9fjZ+fMEgm1CaBZpwaJxoRAC3fswszyIVtZB773ILqi0CDjyB4okwOkdMZ6+oxR/QkLdg8S/aW6Nwizn0wbyTsk23YgFREiQt1fa0lcoiMYogqQaRElmVZjoQKhbOl+aU3r17/9p//zM3N7ezsHBwc5E9OqtUqIYRvy42IqDJVVVMd7bdu3bp79/b9+/fHxsay2a7Ozq729vZIJGJ6p4UdxLU+JACgJYfQBAZhvA9to8vJI9CqFd6d95zOhANxlF7O1xrE6xLEx+5f3r8BwQkU/l6OIMLPpYaG+UROcNoO92cSBEIkg3NHCBHzVYtfNPd82rJ0mS3xFm41uUUurD1+Xs+lhYh6JmmJEEJBqlQqp6enudzR7u7uwsLCx/dvf3v+bObjXD6fV5gaCoVkGkJExhgDlGW5ra2tPdGWyaRHRodv3rr17ePHt+/c6ezs5LOQoihiH1q/BWYwrZzfi3mJzkPR7Eq8/WKdTWtgbqo+M+/iOdHZ5XhzLbHJKduY95GMzHrgHLE+NbBgJW3VekVCud79QiBO1BdQfZD5TeQOnyMdwNYGkTdk72GvJaqN8yscMwAtv554zG/nxVqq19v/5cJfA/cb/7V0VHcY2VIEM6vJy64F+7szeEYu9B+zjFnANg8j0e7uzNHGjM03bSYbxmdsbfYmhEiSxBgrl6un+ZNcLrezszW/MPvmzZvnvz1dXFw8PSupyMJyhBuAuIiJRCKJRCKZbOvO9IyPj966fePxt99OT08nkx0IwJCpCiKijdwNVsaQ5VmoaRVy1c2caweBC1nbRHEefCLte3Xwap0I/mvwNZc/arBKA9TmNaucFw+xPrapmyixv+vzMhhpX5CwXnCe8W+kDu5BaSxnqD/818vN8Do/Ma4Un8gJ19HPapVp4cuE6egg5+kuIkCAADKNQKtZiEgT/kDftgW0zGpt8K7EZ9wzxoxdLQghMpUQUamqhULh5ORkfX3z3Zu3z589+/XXXzc2NlRVRQBJkiRJQqKFQMfj8WRbe0dncmho6P79+w8e3Hvw4EFvby8PolEUhQECGjmMNdFirlqtG20SQrT/rI9OKbV1hhFcc9H+wIvBVbMpf2YQBkjQPjx3P4fNr6vl/iQWazjTSxrZJRhjDFEKyelMOp1Jj42PX7t2ra+vL5Fsz3R1r6+v7+/v5/P5UqnC7VMSlRAxl8vt7+4tLCwsLy9vbW2d5PO5XG742rVsNptKpSKxKO8HHs5pnQ4oItO1Yc8HMY616ABHIonLxRX8OmjTrfKy1XoZiT49jCm6uZFwBd/mheLredIvAxfi+SfoEoNW013jpc0gmpst2b9EzbKvuyoZM/LixXqi3T3ZyamJoaGh7u7u9ngi29O3ubl5cHBwenpaLld5bbIkqap6fHy8s7OzMLe4vLy4tb1xenp6eHg4NHQtm822JdvDoShvhi7miIpIEBkBr9QK/jOGmECnrgtbuHgEmrHrshNx+BS+OBrKhdX8lTKG/HFF+EQcXr4+sJ6HYPbU84JR/6UpCudr5/ZDPb4arzhw81dSQyeur22usLIAmM0XjYhaS5AiMfwhonfQkqMBAJAwRKR65hGoKQiD5ycS2gz6vbnCgIhGNiKwMoyc/AVLJTqryOQQEWYcE0IQVIPag3q+3kgkwhjLH5/Mz8//9K9fXrx4MT8/v7uzc3qa59szIWjxaMBIuVwOR+SJiYmHDx9+//13t2/fzmazqVRnIpEIh8Nme8CkBlkYVRQNGxYFLccQIcRgf9iey7Ka1d+s+ULFkn59fMlBDY3NNv4eZtfvwocN5Czm8/X5LGUDcjbd4TGBWFyQwu3qYFKgPX+ZO8SsE7ZMPaB/rVpWL22wcs8/c/KJHKEELm1DYjlvfHqIaPh+gRIKUrlcPDs7KxbOtrd3X79+/fvvz/7973+vra1VlCoAz28tAYCKCgCEQqF4PB6PR7u7u+/cuv3N44d/+tOfxicmOE9BZSpj2kMRkPTNA432WDJ5Abj4gfnPzixFTWcFssDqDWZg52GZXLB61NAgoxSE886r6rrR+eJSjQu6+KNBureB9YAVlh7WXbtGbTWZXJZmOHEeq0qT1+bFd3PyjPQCPi/Oc04OwlG6anD2vls7veRLkOFdH7/MiUY57+cDg9MKYOzbyI/NbI+gtUDgmztmYx59z0WONaumCGq7Sss7CUgIMTZHI4RQgohYLpfPzs7OTgvr6+t//PHHi+fPnz59urm5qSISQmQ5zO/IGAOKkUgkHo/G4/H+3r779+8/fvz4yQ/fDQwMIYAKoKqMoOplOEZEidh72MZjNXQ8gmYyI6dG1xzHxwUXOYHUbI+/3hXEQ1Dv6rVJGdcIBO+vuKPZ+esPPg2w3dHKFmT+Xe3KeQ+iW3q1xJsqFeSNfJYM06vMJ/Ix7H0Sm98lr0UbxiexhjrfyEW/I9fpwALu/OE/+lREiLYbt2FQ8hIxKGTP8YOgGFpWSoaRSKiQy1cxdt3OQBYzFjlaLsTYMCawQCmlhBBVVc/OznZ39vf29tbX1t6+ef/rr79++PBhf2+vVC6HwpIkSaj7lmOxWLK9PZVK9fT03Lp1gysTo6OjkUgEABSFqarKF8aUUmceRKORiEgJMZhB5tKBUuuusXXLcm8H+GfxYdaL8/p8AnbOxfXhlfDPCLOB5WSNq6zJGoxKtKFopmEmRI+AQ8YQIRKJxWIx6OoaHBpKJpOpVHt7e/vMzMz27t7BwUE+n6+UygBAJAoASpUdHea2t7fX19dzR8cnJydnZ2ebm5vdPX2dXWke5slvylRARijVLOaoZ4igxC/bt1HM9vl8Om5RQDQ5cuoS2ecusD6JkUg7DvJamzYSef35WcP/WQIa7lu4HFz4wGuM1+yavQj1/Ak1hQ7ogkYjYWvRzebOYipTCSGxWCyRSEAm298/mEwmU6lUKpWan5/f2ds7ODg4OSnwyGVKKVDNqFSpbG+ub+Xz+Xw+XygUpqavZ7M97Z0diUQiGub7LaDhkzBAKa3ZDSI3ilOfaj/kZ4+vnXvyafUHq/GxPotbw83+Oga2HVeKT3S+uJwPOKDt0Mcg7eMp9SIXuFYYhEFgh9vbD2JnrdeSHSRuMyh8vHPC4xAjG6Dh/yEEjdwcgvi3+IiM9ojeIa88R/4+fKN+w55tlLGxh7RjRsxYcY03xABA231JLMkvR3NlyGlEoE/clMihsEQIKZycra+v//785fPnz9+8ebO2tnZSOC2Xy2pVQVC5mQmRKEpFkqSh4YFbN25+9913D+7dHxoa6uxKx+NtcijkIBJro9QMMXNsXib+qz2vEAenPR1QQuxdRqw2usB8okuDv1/IWdJfenlxJ4PX7/WrE0H8us5iNfxXAfhE4uXUWUOTcGadEHNAiHufcT3bPyeRNyghwPS5wm7J1e9unCfIFX1KKUUVKpVSsVgoFAorK2u//fbbs2fPXr78fW9vD4AiAVmWtW8ZVUJIKBKOx+OJWPTatWtPnvzwzbeP796/09Pdw2tWVWSMGVZap9bijO4UH0LsDa2HAKweQkt0W32d5IDe/35jz9sn6cUaDnjsI3yb98SeF+fXCS9WheroKBujB8U69fd4EeYMZ8cG0bXcZ5KLoQOY7fHlDUHgWdFW3rdXrzJ96BxQr88chPL+54PziZxmiIv7loWWaHuoAZi6HAV9lhP3wwVdBIBVOliZ7wCuEziCkGKPEUKYyFQCiVthDL2LAmGMVavVs7Ozk1x+fn7+6X/+w/W9w+NjQiSgJCTJiMi3raWA4XA4kUgkkx0TExNPfvj+0Tff3Lw13dnRCQAIWFEUIrpGRHXO8uxmAVdWkesDuvEvRNT9Hi+YT3R10Jg0BNsaU2fEBOcBMURjfzRx0DKDXFN/necAM3akdqoydM4/Vvlol2hOZnQtdphRz4VouZ8cV5lP9CXhkrlIX9QYDQ5hzjLP6LlUGT9tWpJ8sxzZSAT2GwXOkOQZQSZARU3eG74jLZMIX2UZkXMOLpKgMYAkSYQgpXKpWMmdHB0fH+/u7u5sby8trrx9+25mZmZpaen4+JjvZUa1RNUskUhkMpmurq6+/p7R0dHpqeu3b9+emJjo7OyUJIkxqCqK63MZszOVeGPNeAdtpSrQN8Slq5MV9dXj6rikLq4lF/uMPt+jZhZBboOsO++V4MU1Uo66uNFEtg4/YMiI5lmlsUQ0loimM13pdCYcDnd1dQ4PD66srOzu7u7s7R4cHFUqFQCQCCWEFIvFQqGwXVUODo7K5erB0eHS0sLQteFsVybb051Op+PxuERDCKgoinO9gfZMRmabAa3FvjRN2oYvzdnrZioyQYi4uLuE9/sV6hjBhtOX/VW1IMDwRtrOoJuWY3yPhhBySg2zgBZQLAEwsRjRKdpEV2Z5SqBYPB6LxzOZTEdHOhKJdGWzIyMjK2trXMTkjo4VhQEl3OdXKBROTgpbWztHR0eVSmV3d3t+bmZgYCCTyXRlM52dnbFYjFLKmEYhR0RJkrhkcT6XyCQSj40z3hPRlzZFXz24dG8zVBrhbVK+I+enIppwedd8/Cla9pV2XacHrPNLHslfGJ/o8l+V009S0wdV02bk6gj1ebTGNbZasd+Nwcv+GoQZeBG+3xpwF+r1fxbmmo1b7i0/WiLPDfuO5UKe6ETIt6JFi+hx6Ywwoke/I1AEFQnhGQ55lJksy4SQ/d2Dubm5ly9e/f7773Nzc5ubW2eloqIoqqqYWU44J4KwoaGhBw8efPvtN998801/f3+yIxWNxCmllFJ9TeJHIXYyiQiaO1wYJz0vF3JF2SNitJ68OvhUYiDIF9F8NISPP8oPvhNIs95C5xhwGxVMODJ/8fp+xX3TxJKW/fWEMw7+kTl7myq+xYzr6D09gRElRFXVarVaqZSKxeLCwsLTp0+fP332+++/Hx0dMcYIkSilRp5USmk4HI5EIqFQqL+//96duw+/efD48eOhoaFYIo6IWhyolbsHGnfSasZCs7VWbY975NytD95fblAum7+zV88yAN5tsA1s5is9m+e3+pe3teTKorFJwN4nWgSxR1Za61XifeuT7xdJB6iXcRmwNpeq/KWV96+NsVO96qmXVep4FwCgt9PruBY3XMQ58ccDiZi6JVeTsPSPPa21KQX81UjfjHjuNhSNaoSUEKKgIhECjDNqKaUUGWGqWq2Wy+Xyab7w4cOHp0//8/Tp0zdv3pyeniKhhBCJp5BEAgCSRMLhcDgcjsViw8PD9+7de/T44YNHD3t7e6PRKABUKhUto5+u6fGe57Ow6Sx07I+mSRnUEvaJ17o8kx01WMyWPrwMPtF5zST+WlZwVqb/vGH79Rw5Ck2tNJ3aftPODP8e03pY4BOZ5/1507VWH0H4wv5XfWZo8YkuGY3pl1dZK3XiCnsJMJDtweaTd0acNXhzjSWkh8DoeaY18w2fQKkZha7/SwCAEUAkRNfeERmn+cqyTCktl8vHx8c723ubGxvLy8sL80tzc3OLi0tbW1u5kzwAyLJMKQEARVHi0Vh3T3dff8/w8PD4+Oj169enp6fHx0dTqU6+0lQUhuiS1dttTnchVjgfXDSKtXCRuGTeYl24og2zWGyJexojHZZpzTXmCwUtWfyJO1pDITkclhOJWGdnZzwej0ajfT29U9cnVlZWNta31tfX9/cPK9UqIYS7c/l3jSrLH+dKZ8X9/f3FxcXR0dHh4eGBocHe7p54W4ISylBz/BqzFl/hW0iR1pAHaxCESql8Jb9QerWH9BcIC6/hnBlJX8V7vHoeji8Yn0DV1Lx3mr3GtU0EdVu8EadmryTQ+PB9OsIkzTqjWaO4riiHZDksJRKJdDodjUbj8Wh/f/+tW7dWV1c3Nzc3NraOjo5UVQWgXMQUi0VVVQEgn8+fnZ3t7O3Ozc2NjIwMDg8NDQx2ZTOxWIwQwrmrtoW98SfXYHmuPeMn/phGDwhkf2fM4FVdL3wJqMsdclFT9BUmLzf5yF/F6P2C12/15gU4X/jbjGt6Py6EPeREPXwi99aK13v5+evPC+CFIOytIGDMLc68YfO2LRzMdi+xnQZ3Sdy9gktZy4WEGUwibctSkFAEqABAKUUihai0v78/OzPz+/OXP//88/z8/P7+frFc0srp4Wk8FSEypTuTvXfv3vfff/eXv/44Ojra1tYWDof58pgziZDoyZKE0HQOqmXQRaAas8lwFgG4r7G1PN3CTh9GYZ/evhradvOjtN48DkGu8v+agnszgpypgQDO3vNiCNa+SuQK6cwgPuqEz9Oxq3EQ6BXY2TdeVdm+AkQkSPV4NN1MA8CYgoiFQuHj+w+//fbbL7/88urVq5OTE1VVGRCBysEIkSRJIoRIkjQ42H/v3r0ffvjh+yff9vX3x9vaEVFVqwDA91DjW69JVoWe12Yq6wJDSmdFUdA9wy49EGhitEs3K1HTZCc0qjX6y3Qv3+znZZ4Izr0Fj5JB/Jzud9EXcsEzRvnV5lbSjkuhA0A9LBgQSjbGg/a66mqOwwaZpB71gG8N58snCsLIaEwaej5LA7JDSDZk9zg6TEi1+8ckreuZgBAR0HoJqgDAnY+MKUxR8/n8m1evnj59+ssvv3z8+PHs7ExhQAgBnncGVEIIAUmSCaelj42N3b9/9y9/+vOjxw+z2WwsFlOYyhijIFmSCVi3R+BeT1uDOZXVRks08hB400ipcOwKU6N2/bmJCeR89Zbm73txdzGOXXl5ItznB4FAbX+VHjbBxtrp9Wug8gKfyLxKiJ4LUo8fmTRIGz53fKl8os/dwudjpGz5V5sF88hRIsZl1FtnEBuTZuGxpggRjUSG3OVlNfGvkYi0fNiEAJGlUCiiVqu545Otra2VlbXF+YX5+fnZ2dnFxcX9/f3TswIASJLE135KtSqFpJ5Mdmiwf3R0dHJ8bHJycmpqavL6RGdnJ5/f1arC9O3Y+DqSOIaZphMIf3I7lm1VTKwPCIB87w57d31yK1ALnxL1zmNXaNITXaPuyxgzwQRBRMrzIxH9X75vsaSFdkaj0Zs3b0aj0YGBgQcP783PLS4tLa2uru8fHhBt40IkBCplRVEUhoqqqorCjg+P5mZmxybGR0ZGRkZG+vp6IpEIpTJjTGFa4gAnMcTpEwagPCeathujtTy4/dnCVwwm6NxX6JNsoYXmUNMwAVC/coho3yHX20gUCMTIJ00IoIqO7eqNRlJKJYkSIgNAPJEAgLa2tuHhwfn5xYWFhcXl1bW1tVwuRySqeQcZViqsqpR5s6vlytHB4fsPb0fHxriIyWazoXCIEKIwVdHTVjoZRmI7+fPynUCtdiWjvAp6Xssrg69wWmuYFON51aW/04vj9QSv9ovlFn1hfKKLi8zkqNfLZ2uMZ202Px4iem9a41V/I6iHT+RRg3hh3fcPHq/b/PPytRBFPXpcz6Tj7AQxKt8OPaeGnWHrvJcOS/SHk09knFe1XTN4DBoFnUnE90JihCEi5ftrMBYKhU5PThbml16+fPmvf/3r/fv329vbhWKRGJmwgfDRTwhRVSWZTN66Of348aO//e1vt2/fTnd0RiIRVSvJAKg59vT2cBcQI0AIofoT8Rh4Xr2RD8XiMbOkctG8SMaymS+YUd+FKuBI+xTcomam+3o5RD4lqbXCy/c41UATfCIRPvcKOocbX5bWBs/8RPYfbOPQR493jcTUXWraSDcMrWC1zoBIZdLsv0zbIEZlSCgPRc0dHT9//vw///73L7/88nF2tlxVeFAAp/ABACXIjUeqqobD4bGxkQf37v/4448PH93v7s3GoglEVBEIIQz4l8tz+dvcucTYMU3oB044QntJ64FLj3rDK2e9m3Tz5wV4oTE23NX3+3lJxnrnJfFaf86I/x2Dc5S87uuOy+ITnS+u/vi5+giq3TWqozbMb/K+UFdEbLJGa5KjmaKsMXZDI3o6arCa7IXH1OZhUdy4sjMsiqWgVXLljalVg3NkChrE3d39p0+f/uffP//y66/Ly8uKwrgeKOp1gJRKgIjxePT65NSjR49+/Oufb9++3dGp6Y2IyLlFXNBIDr+C1lTOonXJYmn50/VY60ILvNgiLrjaE8iVQvOseeeZ4Lybc2FvMeuBkwNol1N18onqbc+Xhi+VT/Q5wTnTEX0vgy8dl/fV6Us1R9IQRzHXzg9oTuXkIG4dEchBJnUI0dghntgKaJoD6LHmiMA38iZIKJElORwKA4NcLre+vr60tLIwN7+wsLC4uLS0tLS/v3d6VlBVRmWZAjCmVhSVSqS7Kzs8PDQ6Ojo1OT4+Pjo+Pj42NpLJZMKhKBAAVWWMoR5zB0hBl+gGT9hQU7jsRz1fkriAtDnMxD+0fe7FBbz+T0uOf+lo3rtyIc4Zf5+wb34iq0XJqugTITkRsSavIITwFYJGyCMISLVZHhEokSjl1XR1dd29e7e9vX1qampmbu7duw/ziwtra2uFQiEkR6hM+ORSqaqKopRKpdXVdbXKdnd3X7x8Pj4+Pj4+PjE52dvbL4dCAKCoii1lvtP367P28OqxS1HB6/XxfJl+PAc+ocfyXL7lr1TPbuHSEeRL8S/T7FgVY7JAFw38Jy5kDHuKqAqCrhr5GlAcJ4l9pwKeQEDTNQEkSQJJAoDe3t6HDx92daZu3rz5cXb2/fv3i4vLG1ubpVIpFApJkkQpZciqFaZUqtVqdWFpuVwub2xsjI09Gx8fHx0fmZiY6OrqkmUZgFaUqqasOvwi/Mg4Y/nVIWRs/UCse6G00IIvvlgizxXBl8EnckYPnvug8ffmNR7dzfkpbmG6Pn68c1O2mucTXQyC+zZrd4UuqfiuEJrlQrcxE0QmCDDbu9DXKvxaXkb3z/C727hCxjHXAGyJhzT/kpZ1yH6JZjAC1Xg2opuQOCiRS2fl5eXlt2/f/vzzL69evVpfXz85yVNKgZpGHEKIJEmEQDwenRyfevjo/p/+9P29e/e6u7vj8Ti3VRlyXVsSo8UqxF1JXlQCzTcFlo4A832Y74VrKY0Npk+Xn6jesdeY/8QLQfz2/vXXi6bWb3VOIP6cQRF1zqI6SQ1ceUDCUBW23UCgwp4s+rVI3HJsCXkltFTXaH8WD3KiS0t4MaJ9dMz0dzEEAEmiKiJT1PX19X/84x+//PLLy5e/b25vIRLGmKLtccZ3JCQAQIFUlXIikZiemnz48OGPP/5449Z0Op2OxWL8GfmEZltCWPrKmmLM/uxu84DHK7aPc+5213vP5GnWwycKyA8ybv01WCKa4f74f+9e/mHXWwdUt/zue7l0gJat6vNDLRHj8U6dCsS5qhSuvNSa4M1mVj618YAWOWVXr2rXbNMzDX4QAADjYk/TVymlqCqVamllceX/+/vff/vtt9evX+/v7wNQnocI9f7kkoISVFU1lUrdvnnrm28e/uXHP41PjqVSqXAoqvs/TBFDiYyI2n2RmnYfwkQ5a2+8zje39ZUVXmwR9w4J2nctAATg0dhEg409St3kRRAeXxA55VU+EMe2Lj6RdZLwepYgTPkvSsp8AXYi/3d5XrgoO5F+YZDoDPFe54Ovx05EABBVm5WHn9aKmSnZ7PW77XPPL7E75x0FEKx6gJYLUChtYxUxVDiVl1IaluWQHELAw8PD9bXNubm5+dmFpaWllZXV9fX1g4OD09PTarUiSRJf8fI9KbLZ7rGx0ampianrE6PXxoaGBoYGBjPZdCQa5ztcaLQm0PbPFjNqgx6TYni6nOQLygkTevAYXzZrNQBBPZewkX7IZzCJ1ij7T7WuvTDYxhU7j3HYshN53evc7ERMN/j624n0MYWO8+ax01Tk3PFQtBN5WYic344Z1KZXgJoeb7acylqhUqmysba+srKysrL08ePH12/fLSwsbO1slsvlSDgmSSH+OQOAoighSU53dfRkuwcG+kZGRsYnx25MT9+4cSOTzRJKEbQNa8D6dkQ7Ebcfua5MnBaiK2wnCnjJ546A85KI5u1EokMuuK7VshO10DiulJ3ImEItsfaCPyzgeoqrTbaauT7WmJ1IhNY2PboZeYI8YbUsSQQQAPH09HRtbW11dXV5efnjx49v375dXF7Z3d1VFQxFwnznBETkSmMkFO7KdPZ29wwO9Y6MjExOTU1PT1+/fj3ZkeIWqGq1ClY7EQHT/y1Gn7nkHKCaz0M85xGG9jnaieqlx14+gsRbBZcvmnVGJJF5fLOfhZ3IVuyrsxN9AXFn/na+ICMp+EqvmRp8ENAv92XD+exes0N9vU008gAgEtDkk1EbCr8zfRXHwJTQooWI2tizxjqQMWbbhRp0HpD1T0pAYuJJUJG3Qd9ijAEQbq5XlLNSVVVPi8XiysrKmzdvfvvPs1evXm9sbOROchppSCJhKYKIkiTJshwKSfF4fGJ8/OHDh9999/jhw/vdmZ5YLMYY47lvQdvbSGcDISBqVjA+pSNqZCFKiL7xq9laq7cHABEQiJ6nkPc11wwCimgfWf7phDz1/dO/vNfIDCTPHGWCzyfNyKRPK88Mx1RTihQBoPon65WlSD+PEED/dt3KF4VreQJR1xxGNn6i+PaJSdzjPhpzauHfJCKqqlY+HJbHJ8dGx0dO89/MzMx0pP+eSCSis+GjoyNFUVQVq4pCCCWERCIRCiR3fHJ8lH/37l1nZ+etWze2NjcVRRkdH0kmk7FoQpIkoJJ+d72FmssZNZIR07Ls8wc31ipOe67QLdqYR0SChE8HwlOb9jg3S7v/TF6XbdT2GV6cXfWKwPbgXpoPCL8GkaH+feLa2zXrDFLz5eAqtKGFS4Ggy+lnbFK45mDwG8/U4mJ3d3e5+iFcDUBaEJrj9tRDlllbaG2XKbyQlyCEMERC9cyVDFVVMxvFEm03bt6cmprO5/OvX7/u6EjH236fnw/n86eqqioKz45HKaUhSSaEHOwf7e/v//H6VU9P9v7dewf7+0xVB4cH4on2SCTC7Urc06k9l+Y1NIOyQXSriDxWxltr2WMXBfYvABC3pN2fCa5+y4PM28HlBRVGM7fLBOmBZvgWPlanOqytbusOp8/Yvw1fIL4APpGI4LZPr6uaQfM1+NtKzusuJq4SnygIV8t53g/Wp9P8PYQQRBUR9fgyLj4ZcL4P0VL0uEllUwYbW4PZn0EwGNnsRACAzjg1wozCTAVKKZFJKBSSKT0+yq/oTp7l5eWN9a2dnZ3Dw6NC8axarVBKkRJEREVVFCWdTk9MjN2+devu3dsjIyP9/f09Pdl0Oh2LRimRuTuICR87apZ+Rggx7ERaN/GgMttK0srUILoVyTmtfjoe0EUjCIcouK8+CD4DqdM0n8g4yZqf5dBq1gRjxBLier5en60zLkC0nLp1Re0xYyEuMT4V8FOMEKLlklcwn89v7WxvbGysrCy9e/fu1atXCwsLO7v7iBgORyVJ4usWRFRVNRINdaY6stmunt7s+MTErVu37t69Oz09HY/HGRBuNdb6QfiunW/N8G8Ta4YjRFGbF3hVYq+65Gc1ofOJvEhAzXP0vng7kQ2NzTwBuVo1rxLtUPXZnj4TOkALnwwN8oksv4JQJrgnxrNmcTL0+gl8+ar2qwSeKdG5RTYEtxOJLbHVw+OseUnuG6AUgIGqsqOjo62trc3tjaWlpXdv3r5+/XppZXVvb49SGpIjIrcICItGo12d6Uwm3T/QOzk5efvOnVt3bk+MjYfCYWRMYciJrvaUBULcmZn0QGu3S8SZs3v9O9y/ZAvniuA6sP8Zry+0sfIuX4RjhPjxiRwlXf1PX57+UANfAJ/ICVemtA9EPbVea4X/CA4IHzvlVzQWPeD1RmqswRxxZJoD3LSVoMpjtsWrBG6sc54CMGQ/aLmHhCuJmDIWdWj2FyNXtFEPqGDsfwSMEJBkishKZ+V8pVIuVtZWN968efPs2bPnz59vbm6enhUIIZIkE0LC4bCCLEylSCQSjYZjsdi14eH79+9+9/jbx99929vbG4lEOA1YURFRoUAACN/nHkHVLF1aDiUCglTmu5EZIDo7wEVH8ZDCQYTz1bYlBbEpO4+da10ngrOKvtSvvi5yVt0gegiAyYUxxjYQZ0YJET65qy8A7rYVoNx+wvV7whCZovD4z47OVEc6df365OH+vdFrY6lUZyrVubg4f3ycr1QqlUpFURUAoJIckiWGcHB4vLu/9/rtu/cf5jY3t0/y+UqlMjAwEI/Ho9FoKBQCKnGzkm0OFNc22mzGrWwCtwgoQVcuFalXf/L6atznXsevzO3818nJbezDacze3VgbvjrduoVLQWNemeDsBg1OTuWFWiLqiTjzm/fcGLV8YmcAqKoq4yHPlGS6uzLdXTdv3tzb2xsaGG5vT6VSr5eWlk5PT0uVarVaRWSIRJZlJFBV2PbO3sbW5uvXb2dn5nd39k9PTyvFs0x3NhGLR6JxWZYBdLHBd9IERoQ2oMZGN5hHZvcyxnVTFPrcZK1qjFfrfOKTwaCFy0Lw1bETTh9hcHlxcWtn6vHnVyfFvkg+UWNo3k7kLB8Ewb+lemuujc+BT+QP6kUk1oI+CAOU9TNCCAkaHnXJ+NMaseJuzzbMQODoPb7vtbaUsp40EkULjB5tu2vOGpBlWZbkwllheWn1w4cPf7x4NTc3t7GxsbOzk8/ni8Ui37uUUokxVUFWrVSSbe0TE2O3b99+9PD+5ORkf29fd08mmUpFIjH+jIwxRGJEpxMiMVBB5/HyPLiEEEJN3pPTq+PKuWhyhHzOdiIv1Pu9n1dtnxjnNIGc/xrSOcYY8MhPapwXy9SwIglThxefyFZYq5WX8jg2qrXFytljvpBnp6eIqFTU3El+f39/a2trcXH++fPnz5+/WF1dPT4+pFIoEolQKhOeQZ8hIkZj4c7Ozky6s3+g99bt248fP759+/bQ0BAA8JSlPGMaOL53W6vAsCMDMBAzGVmey7A6BeMTgXCtF7zsRP7nWzYLEfWumevlagWp34NP16IDtOCLRkVMM/PD+UCUL9pU77GZplesdC0E4Tibd7fpcihsLob6hrbASKVSyefzu7u7m5vrCwsLv/3226tXr1bXN/L5fDQalaUwkSgAcPlCABKJWDrd0dXVNTDY9+DBg4cP79+8eTPb3Q1AFUVRtGISsfA4hOd1JLzTs2KjM7qZSyUChFhlqBOtCeSC4cX6AeF8EDkSxFcRnI3h8msTfKIWNHyRfKJmENwe1ExEWE1ZRYPLgM8Z9a7J/eemIKC6+NZ6mHvUCZEM/pHVQmRcBaDzFLh0FBi8mgDm8xEDNIhCIn0JjEAzFQghhBIAkCSJMVYulo7OSsVicWNj48P7mT/++OPZs+erq6v50zxjLBQKE0IkKjPGCIFEIhGPx9va4gP9/Xfu3Hrw4N533303PDwciUS4YGZM0b0rlKcbYohAAEHlCz1CkSDVlALumLFse68Rjbx6kCDo2Y3qsPU41+1X21okopkv3QvB12AtNALnuCIIJneu3trquc721XuXsZ/UdWFAoRJCCAIyZKAwQogUkjOZdCaTHp+YmJyc7Ozsaou3f5j5uL6+nsvlSqVSuVxWVAAASZIoIZWqurG5vbGx8XF2bmtz56xQyOdyN27eTKfTiUQiFouFQiEejKZlXwJDfyJ8KaAZnQEAUeI72iABhki51cxvxBp8Sb1O47j5774ZL2LrK2sGQXjTzcjoFlpoHk4Jew5adF28FYu2Y4v/spngHfFo4pm646MtLFFzvrVaiNCYnhGpwX8nhIQicrYnk+3JTE1NTU5eTyY7ksmOj7MfNjc3T/MnxXKlXKkgIgWJ+xoLZ6WTwvrK2vrMzNzB/tHp6Wk+n5+YmOjs7IzFYuFITJbDAMD592IHak/HmUTanmgSADBQzcwG2iWUl0dAisQgKrXw6eA/wwdn5fuvqYPcvd5rW6gbLT6RgSCaTUA+fE0Esa1ehp3oU/OJmrcTifCPO+MwmQQCpYibVJDLJ+Lg/oh1arJNZYZ33TAe8Z94DKFxLQ9G0+LOeFY/RgCAykSSpJAcqlSU1ZWVd+/ePX/+/OOH2fX1jb29vUKhUCqVqmqVUgp65pFKpRyJREZHr924ceO77767fetGf39/NpNub28PRyKUUi0DEUMhklHgLHBJTJFSCrqdCKzLWpEFIBIK7DH2OpmgMTuR2K1XT9wHsRE38yXW66u/0riyfKIgsI1Jq6HEnurIgJHzCGwrgTryE9mf1/jQjO/W8D+LlRNCEAmn8iAwpaKenp7u7+6tra19mPn4008/vf7j1e7u7lmxHIqEZVnWuZNIECil8US0M5XMZDIjo8Pffvfdt99+Oz4+nkwmAaCiVDn3UOdMcc+tEG/LE13rPWBMDpacZdp8Yu5x49UP1hHSGJ+oheA4Xz6R81r/d+RnV2rRAVrwR3Mi5qrMHv7cVZ98ea46mI4g8sWLd8MEJpFk/5USCoQxqJTKJycnu7u7q+sr7969+/lfP71//35nb79arUbCMZ60CPR3FA6F4vFoOt2RyabHxkb+9Kc/PXjwYGRkLBaPM8YUhRlJi0TuquXpOJOImrJPlDs8X57O4WWG3u7sF2hNIJeKemWEOD697ET1roU9dcgWn6h5fDF8ouZ9Vl6rweAeiXpj1vxxvvyFq4OGOeo2ddNLl/WagzjMKUOQjkSvVBJ+Z9zJYV7JN6VA08euxZQRy0xEOIeHEL5/meaNR4VSyuOxaYgyxs4KpZOTk7NCYWd7b3Z29u3bty9evFhcXs7lctVqNRwOU0o52wgAo9Fosq091dHe29s7NTV16/btx98+mhgbb29vBwCemFZVxdxCFPmz84ZRBAKUR4nzaDPQChukX22nCUNfcdu5WusH0ohx53MW2s1/if5sxJa/XURDNqOGyGnEdqwl5THOWPb8ApteG+gOXiNHtBBpHEY9kE2/l1Ba2w0HNZ2YMURUKYVwWE6nO7rSnUNDQ/39/bFINJPuWl5e3trZPjo6Oi0UqtUqAKWUEklCgPxJ4fgov7a+vbq+UTgtFk5Pt7e2hq9dS3d1tLW1RSNxKskqmpn1xYfUVhTaPscMUZsGrGsbCt4ud68crm5ofRHniyAzT3AfTOvttHB1EGTcNrXOPHcQHn/mwSEyIP7EQEt0aS0TnFPJCAFmYRVRwSeI5lWEMMYoIyoiIRiNR2KJaHdvdnh4uLe7LxaJ9/T0rays7OzsHB8fF4pnilJFAEplSqmiqodHuYOjw+XVlc2N7VJRyR+dbk5vDw4Odnam4on2cDhMqawiY2jxyJqPzCPDBSelTcoQayYjsXu8/2zholGvHuvPIfKrh69riKUk9Tl/fviq+UpfDJ/ovHQXL7niVabeOoPf9zLwKfhEzfRDUHuzy3YRtWBPNiTsaa0vnHRvkFt+IrRai4ycREYeIuArNkrD4XClrCwuLr598+b5sxfv37/f2Ng4PD4qFkuVSoUxJiy0UFEqAHRwoO/GjRtPnjx59OjR0NBAZ2dnLBGPhMLGJhTWxvP7ApgGMORSmRC0+mRMMpFlvSckF9SKWYeJTqVq0PrzufGJRDRvJ3J614PEcVxRXACf6PLsRJYK3KwbaGbN9LyJaTUWjcXBegARDTsRt9Wa0azU1OmNDdCEWzBCND8wQaqqaqVSKRaL+/v78/Pzr968/umnnz58+HB4dKQoCt8QTaPuI1IAWZYjYTmVah8YGJi+MfXj3/5y//79/r7BcDiqqqrCVGAIQPm8oT2RZr3i2hgz7Mte+cusPWDG82rPW4NPdBHfYAsc9fps/fX4Fp+ohYtFLRETRF58ejuRTXagm0wxIr+4LLA1jrfMshetS8JNv7kUeW4+dOlSzlQ19Eii8/GNnAxMUSuVytnZ2e7u7tzc3IsXL3766afFxcXjfE5lLBKKAoAkSYhIKBJCwnIoGo12dHQMDQ3cvnPzxx//fPPWne7ublmWK0qVb7ipZT8QNtDUvJuEGTQiQwLyjHhG/4CQCw+AceXc4LSCtp9vC5eJZngSQdbajnVNgPNwbnyir9pO9MXwiS4azXj+vfSq4HV+eWPUX2YHeVJ/X70mNYWgKpd7cWnksLMI2aZ1Scx5PcZJfkbfUwkZY7qnXQ80A0BQDanGd38oFkrHx8eHh4ebm5uzs7Pv379/++b9ysrqUe64oiihEN98FBGRqWo0HGpvb8t0dfb1DUxMjN24ceP+/fvXJ6c6u9L8oRRFQSSMx8o4lshUWLrxdCd84UkAiJBZyF1j8OpysZjjTPCl+tUW4BfH+vGXoy0EifjzwIUNKTvnyFnAexPf2pXrEakAWtYz7mo2CnCWn8EwInpWCQIUkSFyviCTQlI8HIu3xbqy6XSmK51Op9qTE2PjK2urm9sb+/v7pydnlUoZAGRZZghKtXp6enpweLy7d3RwdFwuVXe2dsfHJgeGBrPZrvb29lAoAjzRtd77lhg03amL3uRCseV8pdHojnLO7/HLk4aXiSCMafHYSzqL78ILLdZkCxeNenXFZso0DsPzpm0caTvPjwXzumEP4gYjCQhxODOsx47YMSGzj1GncZWbxouGSwKBIgABigiIDADksByKyIm2eDabSaczHR3pVKpzdnZ2Y2Nta2f7cP/g9KxQqZYopRKEgJBiqXKcO9ndO9jb2zs+Pi6VSutr2yNj1wYGBjKZTDwelySJ58UD0b8ChlJNgAkPyxAAkRIgBDRrkfYvAABQq/PxSuHLllZB1rY+XgTmcb6Fq4UWn8gGH38acyvTcP2uPMnL9nVcPp/IdTf6wHDvB9GvYpS0kGkd19oe3KTVmDYjOy9JvIQbg/Qf+b1E5hEaB1z2h0IhgnR1dfX169f/+fUp3+o+n8+Xy5WqqqhaeW1bbIYqqKyzs3N8bPjJkyd//cuPY2Nj2Z5MNBqVaYjKRky4FitjuKGMTiCEEM0XRIx2GnHd7n1oMHsFO5EPnwgcaJrScQXRNM/FUo8Tn71cPFc+kYhPw68E98nk8u5r/umIR9BD4ABRiye1NpVxnzBjTKlUK5XK3t7ezMzM8xfPfvrl54W5xcOjI1VVQ6GIRCgxvlZCwuGwLJF0umN8fPybb77523//dWpqKpVKUSpXlKqwMmHOedtc2DA0zmi/CXwo60/18omCMlNaaBSNsbfq5QX7yW4nWnSAFjjOW0f9pOt2q5LkFaLbePUWhpF27L/E49ojJ++YiisBQGqx4PCpniEAKIqiKKxcLm9tbc3MfPjtt99+/fXXlZWV43wOAEKhEHea8qeTJCkkU1mm2WzP9euT3z55/OOPP46MjCQSCaCkUlFE65UGXXYYjXfVY13l0dXjE7XsRE74x5153cWLNwQAtMUnulB8MXyi5n1W/toqczsZ8L41o0uox3mftn2uaC4mxaUf0MxXLeZPpTqliOkWHNNX4+ToimYd41d7HBn/lxLtX5MTy70ZDAWnOaWUUpAkqVpWjg6Pdnf3N9e35ubmPn78+Obtu/n5+ZOTk6qqSJIUCoW4rQdYlVAaj8cymfTw0NDo6LWpick7d2/dvHE7m82GImEAUFXkgWl6y3gjtScjxLQWESAmfPvXazcNzQrlVd5x3jM252qHmfnCi7PmhL8U8ZolvmrZI8DLFtAMPrO+tSn0VHDh6E5eBqCl2gZNe9Yu5VcgAlCUJSkUkmKJaCqVbGtr6+hIZrPZxfmllbXV1bW17e3t05OTcqVCKZVoCADOzs7K5fJxPlcoFAuFwlHueHp6amx0dHBoqKenJ5aIEyIxxlRVs02J04nZYN0JLM6YAGDkMwIj4qxut5TXeGi5Is8LjXGcG7tLCy18WvjLmgsepVb959xtGbYKDW3Q31RkJIoGAK7fcn8lUAn1vX0BGCKf/kkoEgpHIZ6IJJNt7e2JZDLZ19e3uLi4vr6+tra2vbtTKBSq1aokSRINMcbKJbVcLp7mzs7Ozk7PCoeHx5OTk8PDg0NDQ9lsNhwOIwBjoBqpPx2h3Izn6GNAKTWYqqg3SHzeL4T2cIUQRLP1OlNz5etTs7MMA/MDsl3FSB26emP4quXXF8Mn4jgvO5G/bur/JXjVfBXXLZfPJ6q/H/zK+8SUOc+L2T34eVemrvNX00jk8PMbpiFElXOCDAcIpVSm0sHBwczM3NP/PPv5558XFxcPDg/L5YqYLJYQbf2EihqPx3t7ux89vP/ff/uvO3fuDF8bTCQSgJRIhnuE+hiJQBf53PWjNdIl559lTyJObLZwkvmFHsMDid/+4l+WnSg4gntFnLhac0JduIAJ5Hw5XJ9x34JtzmHmsbgPmmEBJ4QgYbqWDwQpY4wxRVGUnZ292dnZX379+V8//7S8uJLL5RhjsiyDkElUoiBJEpXJ4ODgg3v3f/jTkz//5S99fX1yOESpXKlUbIxFW1Ndz1OQzGFP7fOMWcqOZri6LTQGLzuRT6/6vKag32+LT9SCPy5SR710O1FjCEDVDkiDdYab2e3+mp2IAVArq4hrqRQAmJHVAQEReXa8zc3Njx8//utf//rtt19X19fy+VO+EwsgJXqGB0qBylIoJI2Ojj569OjPf/7h22+/zXR1UUpVxlTUKEIGR9XwclrY7twFiubcYhRr8YkuAM23/7xYwF7cpRo1nxOf6KvGF8MnEtGMfyyIxSeITbQVje+P4LOP//fPbGfcQ6J0UScW0C015s4LWh5ZQglPP4RIKTDGNOsMsVfIPeaaZ4NQSgmlEAqF1CrL5XI7OztrK+uLi4uzs/MfP36cm5s7ODwqVcqEEFmWKZFVQKZUKaWyLKXTnSMjI+MToxNj49evX79xfXpwcDDR3gYAjDHGGM8yyHML6TqB1hZLYDthVF+y8Z9N7q7JfnLRD7jwDfA6uLQOUtC4oJ7Cnyv85VbwLB5B8LlrHv4I8lz+c7vAEwQAnwF4IaGS52Xb4toMNew+4OYWJjzhGGfrEELQmJCQEiKHJCBSGCIjsUQsFmtLJoaGhhbnl5aWlhYX5zc2Nk5PzxRFkWW+Ww2qJbVarVYqilplx8fHi0srk5PjIyMj165d6+7tkWUZgKqqyudGWzOQZ+7nUw/VPdKWdLMmt+g8+u0iOGifI85rNmjAH2t36jZaTwstXBqc/HTXuAFXfKLxXL+E8tKEiZg02qkEEoJagiBKCAECCIyIPHrePwaLVKISBRmkSDQ8GhlNRGPt7e3j46OLi4tLS0uLi4s7OzvFYllhqizLFKhaVZWCwhhTFFatVg8PD2dnZyfGx69dGxoYGuzq6pJkmTGoqgiMUWLuN8p3CjZYRUCAb8Zp0OaNRwDtPBN67SrMQuers31e8dfnxVEV63Fmg2nhAvFF8omo8GfwMVpvySAtcdZ8tb7qT8cn4qjdG7XGp1mbsOWBa5Y+cLxcakg+w07keomWCchhJ+IHIqsIACKhcC6XW1lZ++PFy59++unduw8bm5vFYpEQoooZjrh1BzESCaeSbVNTE//93//9+PHjqamJdDqNKjBASqkRla3tduTmh+fhZpRS0CM7jDdoiVTX7ETm9URIlMijvrXn0u1MDTh7v8QsRcHhOrYDSrLP0k50wRNIEJ6gl52IR2lR+JztRHrMrDAvCdwi3QRMwS2qiyDVJzTG5zcigaIoayvrb9++/b//+/t//vOfjY2t09NT7uzVeIWEAIBEKCEkHA1NTU09efLkz3/+4cGDBx3pFKUyAM/OphESLe8aqRD3qu3IZj4alQCA+4Hd+ET1an5OO9GV+CIuHVfn2RtpSYtP1II/Lj4/UfCl5lX4ys4NXp+emdjIwWM15A5jDIgEAMgUw8/KfyqVzpaXl1+/fv2///u/v//++87OTqlUAipRMDdx4/oqIRiPx+/eufWnP33/7ZPvbt68mUgkCKWaTxQoBQLU7r+06beinUg4EE1gn/atXYRN5zLtROclX85RThmPT4N0RYtP1Dy+MDuRF5r353txlFyvajJ1wuVpfp/CTuR5X+etXb9wHe6rKWHtZHF6G8dEyEAEeq4iYc9mbfszncIqxKZRe65rLrEIwUgkgkjy+fz29vbSwvLS0tL8/OLCwsLS0tL2zs7pWYExDIVClBKdHISEkGQyOT42MjU1MTE+OjExMTExMTA4mMl08y3YeEkGSEFCR0dYYkAoUicbiHC2k32dKVbgXCafl50IHDV/ffgqYmcucQLxmnubsBM58cnMnPansLQcNcqf4fnQZi1R1+G7j6FowhYIh8AkSTPZlMvV3d3dxcX5+fn5hbn5hYWFmZmZjY2N07MiQ4yEw3wZwLcuzmQyI8PXRsaujY+Pjk+Mjo6Ojo2NZbu7JRpCIIqiMGZpOSGE5yTS8+hLXGUXfNcMiLk7pG+HBJHIYu/VyyP+zL41D1yFuIDG29CyE7Xgj8vVUS92xrg6XjSNPRTAC8sZ6MZOBQCAQBGRWOcNQgil2hOeFQpbW1tLS0vzs7MLCwvz8/Mzc3MHe3vFcpUBhkIhAEBUGQNCSG93dnR0dGRkZHTs2vj46NjY2NC14c50mufFUxQtktqIOOP303XvIHYirYUN95WzT6x1+ucTYIIsO69ZWjwTXEo66/G61j8es7HZ/iJWtYHiRi/ATnR1fDOXhJadCAJ/b66VBIk4uwpflDs+iZ3IZ8jZeLCO30VDsnjGaQ2hPGEQN/cYXnd+iV5SmOUZJ9uaCYb0kkJ7eNA03+lMtxNxg44kScVicWNj492b9z///PMff7xeW1vL5/OEUu0qIABAQSP+hEKheDw6ODj45z99/6fvf7h3/05/fz+3HzGRFaUzibSmEAIA3IpkHANhhJj5Y00KLp8N9Z6x6QTEmofI3uEtO9E5wMaPDYjPTPZ8CjuR1yQA1vNflp0I+OaDrgxZbuMGAgR0EzY/b/xBdN0IUeP4UArlcnlxfuHly5f/+3//8/KP17u7u2dnJW4k4rOcNskAAYB4W+zOnVvfP/n2+++/v3HrZqItGZZDSADA5BBp/3Lukmkn0qYnnduoAlgzpzaIlp2Io2UnauFLRstOdO4Qkxn5LgA1O5EZ+8zJRFpKTlUvRvVquc9Vt+BQenZyMjs7++zZs3/8438/fJg5PDwslqtIzGyehBBgyHXadLrj0YN7j588/u6778YmxqPRqCzLyLgY4smNBEGjs4qMjJwAl2MnAocG4mMnan4x6Lyp7cznYieCAL6fBioEN7lvQctO1DxadqLGqrINEX9Wkf948uLBXgav/rxksEX+IQAin9PFu4i56MRreVY8gpbMc+6x0zzrM2NOJiro8VPOSQGJQCYSSmq2IX0/acvjGLfTy3NvBiJqQdOEhMNhCqRUquzv7s3Ozs/MzMzOzi4vL6+tre3s7p+cnFQqVTkcopQiIaigyqqILBaLjY5eu3HjxvWpiampqWtDwwMDA93d3eFoBAB47g8AEFkDCFR0yBNCqC60nb4UM/jc8Y68XqoRd+a0Ezm7WrzXJ8LVnKODr05FfPaxM3VOIMGfMUh0gJcO5M8zaqg9LtQ7x5mLhEiHdJ4Rw2DtFwrxAhwSoUAIb3nh5HR3d3d1fW1xcXFhbv7jx4/v37/f2toqVaqIGA7LfG5kjMmUZLPZoYG+vsGBa9euTUxOXp+amrw+kcn2AAADWq1WidAMrr7z+DWx2QQBCCPU9K+62K+17XV4HlPJQ0WxvF+bvBDz9LtdVed3p73r4JJahLtdr5YX2gvBtfzGfr1stOxELfgjmIg5L2up/7cMQpl6v/SGpM+lSBmbcHHtcO+TFm8NL0Z5zmoAQDg+Otre3l5bW1tZWpifn//4cfbDzMzO3q6iKJTKfC8FhgpjLBIJ9Xb3DAz2DQwMjI5em5gYHx8fn5iYSHZ0ICOIqCgKAHDrEucWUd0kZTRe90lIDpezcYJpuzeIAdNgO+HX8aKVzfGbeRnPfMobbPSP8aepqHtkkhIuoWD6ff3K1I8LWFECgFtPgsf5S5jlA9uJmvhOv3S07EQN10M9jp3lvz47EVhnYW1XLzNWS/xJz6xBxbuLDm2wTs2M8fR1LkmIXGcEw06kJegBVfPVo5afyLATeVmgdE4Qr5wRQnhQhlJRd3d3F+YWf/rpp6dPny4sLBwdHQEllMgAgCABACMMACRCIpFINBrJZrsePXr0w5+efPvN4/HxUYnIjDFzQ1DzWfQYDd1OBKYgtNiJzKYKx4zTC6zweqkIwDPQgtXM1Bif6OJxNWftlp3IRMtOdBGwqafOP91VeYedSLSVa3YcSkql0sf3H148f/73f/x95uPcwcFBoXhmZNAnhABTAUAihDGW7Oi4d//O48eP//znH8YmxuOJRDgc1dcGmneXN0ympr3G8AP724kE8qPn2yFm7LA7RDuRdWptRrZejp3IpTGWqD3vYt6tCv7rZeNKipgWrhA+nZ0IPD7SL81OBDVYRX4FRE0VrFIJESlIlGqqaC53+PHd+6dPn/7z558WFpePj49LpRJjYORhAAAuZQgh3T2Zxw8ffPP40aPHj4eGhqLRWDgcprLE+arcDIQECIIkmSYhzl3lnFmRsnrediIA8DDuoHhN8+u4IHaiZtCyE7XsRIHwlduJnCOgsZWeP++9MR00+K+NI5AMFm3kzsKO2vQgKM/WOrlCAGCzFjmawZ0VBARekmiSN0lDzEueaT5qLl0IITwzNBJnMSe0/pdlWZIIABSL5bm5uVcvX3/48GF+ZnZ9a3Nvby93kq+UFaBEyz/NqKqqnEY0MDBw69aNO7dv3rp1a+jacG9vb0+2u61N285MVXmIHIK+F6nWDB5TBhIAIEV9aWUhEDk6ynxHqm4t4hcGmpERbAY+11KfrRJ/jjTgmjU7Ua8e+RngcoMCDAS3v4u4AA3gEwUSOOlFYH0XLsQijzfF9WlEPMnl9/b2tre3l5eXZ2Zm3rx99ebNm929g2pVJZSGQyEAAIaqqobD4Uwm3dfT09PfMzIyMjU9eevWrenp6Y5UBwDljl9jYjXyIhmWDoNt5NXzrk/nbHmAqyzfmjG3iS8tyLHlLpbztvHDrF+0+GsQvcJJQPbXB7zKtOxELXw5uBgR4+VRqNen61UmSG0AbnMOCGcuE94rQfOJdAu+mJwBuA/YYN8b/FadEKqJGFVVc0fHe3t7W1tbi8sLHz9+fPvmzft3H49yx6qqSpIUCoWYggDAAOPRSHcm3dPT09fXMz4+fvPWjenp6dHx8Xg8zhhR9D03uT3ISlkV451rL2+N1QS4rTgAoLGpEmvLjmD1eHOXxP1ngiG4jlpvbc0wZC8cdcadXS35eEUgf+oGfNmg50dlutKoy9po5+xofxLnTwK4m9qcfwnRBJJh6yE8JM2jeQSBATFkMWNMZDAZgs3n6SSJVqvV09PyycnJzs7O06fPf/np5zdv3m1srCGiFJIRMRQJG1XJIRpPRCORcDLZNj09/f0P3z359vHdu3ejsQQCosoURbGubbhgI4Z8BZ63j/vziT6QXESaC1QehedGLGqhhRa+EvjryojIqZGEkGQymUylxicm7t+/P/PhXV9PNhqNLswv7R8eFApFRakwRQVCw+EwAOztHezv7r5586Yrm3346P7RwWGlVB4eHo4l4rFoIhwO853RjOQRQhsoIXb6pK1JPo9jzo1uTxqsS2xeTb8ZUiM3Oa8y228Ju7CiXl2TCpamFlpo4ZLxiT89Ai6O2Mu7exCrilews6apmuYh41fuB+WTdmdXOt3VdX16+vbBrfGxsXRnZzgcXl/bPDw+KhaLalUhEgUAiRJFYeub2+ub2/Ireu3azPb2di6Xq1Qqme7uaDQWiyWoxBlDlhSihtv4XDuy9pxs93yf3719UKdiH3Adel4CqGVt+aLwBfOJgnwY/qPZyUlzegjrrdO/vD+P/SL4RObOXwZqKtxOv4dzFNXr8BHzLte8L7Ha5rk3g7OFtCxCQnSbbrhRHY2kNpFmLcAMW74khfjqaH9//92bty9fvvrjjz9WVlZ29/dyudxZoUQIIRLPIsTlolKpVDpTHeMTo3fv3v7mm4fj4+O9vb3ZbDaZTEpSCBG5P0Rrm1v/82APkTQkCERtwyBEAGJZ5xjLHjS2ILWKk4Ceqyscd9YwmnIQBavZCS9/hT8+G/l6iXyii8tA8fnxicAjDM2rpDF1UEIZMgAX3qXo+D3NnxwdHe3s7MzOzr58+fLFixfv3r8pFAqAVJZlWQ5r1aIajUY7OzuzXZ3ZbHZiYuLmndu3b9+8fv16W3uK35Bv2ggABJkRlWZrnjG5aXG+Qi42rW1C/K/RWveH5b86jptBsDotYykIJcoNzFv6g1B/886nqzLDfFkipoXzxyeirDYJL2XDQ+K48k8+BUSTh400BG7vwnZG1KVtXFeClFLKA4Kr5Uoul+Mi5v37969evfr9xbP5+flyqUoICYVCPISZARKEeDya7uro7u7u685OT0/fuXNn+tbN4ZFr4VCYh62pyGPciMEhokC0rJ4mn94O3jwvPo6PJyM4PCrRxoA/v9WrAR7sGMnxq4UFZl7ORbBLY+uVNf5yyqvkJ4DHBFIj6sUXX50V7CvnE9XL9/mKRkZdEEWLOCvxjZNVVeUZmrUtvXQTiQWEAQDfA16sUF8wSIQQKhNCCAWJyxtKqUwlSimVJUookYAxZtiJjPYAZw8R808dmvfD6SThHgm+cFJVtVgsHh0dnZyczM/P//bbs2fPnr3+49VJ4ZSHRsvhkFEPpTQeT0Sj0bZEbGBg4Pbtm48fP/r+h+96uvv4GkxRFD0bnwt4DeYaSW8s0X3ozNdXgY5fg/gcnCrKl2g5vjha37nX3JpkWgiKmuqsXY8H+1xn/MnnZwCglKY6O1IdHSOjo6Ojo309PR3JZLItvrW1dZQ7OT09LZfLOudfrlQq29vbW1tbMqULCwvb29tHR0f5/Glvb2+qoyOZ7IjFYhLf9lHfZ1Lg6Gi3djbY5bkcLCJDrPADLllEn4ERDWGnizICwIBKBgXdAJ9+CSGSJFEDsiRJkkTq+DCDOOfd0Pr2W2jhgvBJVneBCRpXw1QkTrINTGLGJXwLM9uvjDFEBgCyLGcymUx3dvL61NDQUDabTbTFOjo6dnf2T05Ozs7OKpWKRlOS6FmpfLq2sbq2EYtEV1fXDw+PD3PHh4eHnZ2dbW3JeCIRicUppaLFhxuYkCAg8F1onO/AcBL7sFO5TBTXL7ZVDAgCy8fkbQB4TkCJEolSSiVCqcyXM1KYSrar6ul4AA+DCARQElpowR9fLZ/IaSE6r+wh/jkLgucqciJItoLgVwHU4hNZ7NwB/H42uzhjcHpycnJyks8fFwqFs7MSR7lcLhfPqtVqRakqiiLOwjxnEI8xNnR0WZYlSQqHw+FoJBqNxiLReDweT7SbSCYkKllXGwAEGFMYIKrgWDMI74IhWD3Vxj4FkiRFIpFyqbS2vvn27fuffvppfn5+e3v74PCwcHqq6GRa3jkKQrlcTkRjw8ODN29c//bbb6enrvf393dl08lkMhSJAoBzxUIQkADfuwFMo5i4jAJtN1CHR90SWu36atz0DuMUepy39OKX4Oy96JxE9cZmX1x7PgECO3uvpgemkXfhxShplL3SOGO0LkoR2GYP7eYuqjy3lXC7drlcPs2f5HK57e3tV69evfz9999//31xcV5RFCSSLMtU5pZ9RgmJRROpVKojmexIp8fGR+7cufPdt9/fvnvHSFFkeAg0LZyH1DpmNpuP15hmbSgUCie5fD6fz58WzgzpUiqVy+VqtVytVlUNKHopEBEZQVAJSIQij18IyXIoFAqHw7IsR6PRWCwWi8Xa2tpi8XhbW1t7e3symUzEo9AcX8mHZKTxSgGcs4rb3m3nxSf69F/lFyFiWrhAnDefqPlM8PXeRcTVl4Ai3DVkDj2jKAhTuottiAg72Bjar8b9kSgAlM6K+Xw+l8ttbGz88erFH7+/ePny5erGOlNBkiRJClFKtV0XJCkRi6ZSqY7OZCaTuTV94/bt23cf3L82MhKKhAlIDBkPowZxhCAFAEJNWSmqzMa+afanQySElEqlvI7T07NyuawLmbNKpaKJmCpDRMNXYa419EUEdzLwBEyhUCgWi0Wj8Vg8HovFEvF4oq2tra2tLZXsaGunVJApHnZDRJMdrDGn9CvcPLz1rTqtn1VdfCJjnXvVRngzfKJPLx+vCL5mPtElJA+yyaRzud2nGbtegllRlEqlwifNUqlUrlaUisrn08LZGbcTnZzkDDtRpVIpFouVUlG0Exl2emCE+7QJZ6nK2iwrcz0+GolFovFoLB6PxxLxWCKeau9oT7V1JFOJRCIajfKJWJblSCgcCktyKCSHQyEpLEkSJcAYQ1Xb3YyHoZlWGxtzhxAAKBaLO1u765sbs7PzL168+Pe//725uVmuVBAxFApJksS9CoSQSCTSGY8nk8ne3t7JqfG7t+88fvxo9NpYPJFAUBljKtNkKqWUPyAHl1LcOOTayTaTEQAQXTRbws3q9xh82mD4FgS0kpK00CCCfPU+9iOnx5ifYYCMITAMh8NdmUxXJjM2Pp7JZLo6Ozs7Oz986Nvb2zs4yuXz+VKlrBnWKS2VSsVicX19U5bp2tra4eFhqVjJ5/Pd3d3JjlQymYxGo9wIxYmf2l4ETquQgzvEhUupVCmXy8WzcqlUOjnN5XJH+ePcycnJSeHs7OysWCyWy2UueridiDGmKApjYIoY1ewQQghQQilIksTtRNxUFIlEotFoPB6Px+OJRCKeSKRSqba2tmR7eyKRCEcisiyHQ1IoFJJk7rzQhE7wt4aOoIzghVtooYUrj6uembSOWUVPPOT9ux8FidOCxJsSQpAhAKiKQgiJxWKxeLynr3dsYryzs7OrozOdTs/Ozu4fHh8fH5+cnFQqFSQ8igxzJ6e5XG55mcXikf2d3cPDw1wutzax3t3bk+7oSnakuIixE0itsczU4dtWVbVSqWg+bA3V09N8Lpc70Vzd+bOzEhcxop2IMaaqiKpJO+IBDcaTUkq5nUjWRUw0Go9Go7F4PBaPJGJt8Xi0rT2VTCa5fIlGw+FwOCyHJEkKRcIGQqEQcawRuJi08YLBLlCMbWyC6PvB45pZPYVb+LzxRfKJGtutLHj5IHdvJu7R/756dKu2Q5ZrGTtsnmfjjNNLYN23nm8QRgm4UYwAEDF3dLyzs7O7u7u9u8cP9nb2Dw4Pz87OSuUzVBljihYRwBgAGAECIERR8SgGAECmJWw2IrC4oYQAEMJnXuTxAHwOlohMZSkSCicSiba2tnQ6ne7q6OrqymQy2Ww2293dlelMJTv5JItIVGSqqhLUVg6G+d/sREpDkkwIQZWtra39/f/+8dtvvy0sLOzs7p6dnVWrVaMn+UGlUpEkqbeve3Jy8ocn3929e3dwcDid6UrE4uFwmAemcRKsrbeNHRbssz8lvOPNYwdvSB8BjfCJrAWsQPsPn7mzt7E9TQJW61qzpX4+uni2xWBVNd+2y4avs9cr85r/sRP1cjAb27Mj6LVOFklzeXCa4hN5mRvECV+k8JgFHJOHkzmvz06UEGBMLZfLZ6eF09PTzc3NFy9e/P7s2bMXz9bX11XGCCGSFDIis4hEI5FIW1tbuqOrt7d7enr6zt1b9+/fHx8fD0diAIAACJoU0PzVmmKNBpVJ7I2jg+OlpaXl1ZXV1dWN9a2NjY3jfK5cOtPkCFNUVeU7AKh6OADosQ8Wf4Dl6bQ9cRgBCYgR8Eu5i4KCEXbGY9AioWgsEW9ra0ulUp2dqXQ6nc50ZTKZ7u7uTCbTlc7yyAdE8J8dUYj+o2Duuek9kTvh3LEleNYz/3yIl43PXMS0cOGoxScKkt8zyK8Xh2aljPj8zfFV62uDE853YcsrZyvpz3g1fuXkIlWtlkolLmJWV1d/f/Hs999/f/ny5e7uLiAlhFBZMqqilMYi0UQiEYvFuru7b96+9fD+o2+fPB4ZGZEkCQFUFRVUjOfkPlpBuPAGaHP1ab6wtbW1trG+ubm5sbm5ubm5t7Ofyx+VSiXOluU+Zm4G4msHvgSglGq7MGuRGXrNOrmGSzSjzYQQqss4SkEiMqFIqCxJkkwl7pxIpVKdHF1pvpDp6enpSHe2Jdp8eKzun4mw7nB7FyZf1aIweHJ7g66UxYyr+vXM4/yF47wJiXAV5OYl42vmE50jPsG4IYQgssaGe3DjICHE+KKLxWKxcFYoFM5KxUKhWCwWT05ODvf3Dg4ODg6ODg4O9g72Dw4ODvePcrlcsVRSVZUSpJSngpaIA2K8lVsmNiCEMD2nBZ/XEFU07DuMMaZldA6Hw21tbclkMpVKdaZTnZ2d6XS6M51Op9OpVIqLk0gkEo3GI7FoPBqLRqPhcJgLHqM2SZIYY7lc7uDgYGtj++PHjz//+5e3b97v7G2XSqVoNEr0oGVElGU5Ho8PDQ/09Q6Mjl2bnpp8+PDhxMREOp0mVFaZyhSVG6G0h3VN9U2JC2VI6HlnyqGgL+4qBLt/gajPeVLr8zRMSC1K0edC1PfE5eeXCD75+7t8xTI2XV/4E+PxeDwWz2Sz/f2DiUQi3dHR05OdW1zY3t7e398/OsxVKhVKKZEoAeB+16OD4+3tzaPjg4PDvb29vaXFle7enkwmk2hvi8fjkUhEova0P9Vq+ezsrFSqnJ2dFQrFk5OTXC63u7u7vr6+sbGxtbmzvb29vbt7dlZgjFGCsiwb2j+lFEFLyG38a9TMCFDhuUX9mD++ioDAJAYIqqb3M2SMqcgQUaZSKBSJtyWSyWSyLZHsSHV0dHSkOzVZ09GVSibj8XgsFotGw7FYjB9HIhGjM53vq6YgNl6W11troYUWWvjkaHg1LrBvJJ5Gogehp6cn0RZLp9O9vb3Ly8u7u7v7+/u5XK5cKWuRaIzlT0/y+byiKJubm/l8Pn98cnx8PHl9or+/P92VjbUlotGoLFFgoFvwsVqtGpzTYrFcLGqrmIODg729vZ2dne2dnd3d/d3d3YO9/bOzM5VVKaWhUAiAaYKKmjnsuBfBsEJafDaEx7tpCp7orgAzlIEBIwwVpmq9FwqFotEoD3NOpVJcxKTT6XQ63ZHu7Ex1tLW18ZhovoqJxWKxWEKW3XeHMFsidLIXY8Dn7TjNfITnSv18dLMWmsQXpnzUu5dQEG+286qG4XqLGqwEJ4RP1+QWeRYmfjYsw0JhmEsAQLS4GyidFTc2NjY3t1dWVlZXV9fX17e2dg4ODsrVEqdcMsZUBVVVZagwxgApIoKWndowBnEWDeP+ARCil0UWBv/XsJoLT8fQuowx/iWEUCrzIAKeH44bpySZRKPRjo6Orq6ubHd3b29vb29v/+DAwMBAOp1JJBIEpCqrMsZUVo3IkWKxOPtx7uXLlz/965cPH9+dnJyUy2WFc6AI72vg+9m3t7cPDfZ///1333//p4mJsWy2hwe+8Qbo1nrKACmRKe9dwp8XJEJ03pbhcGBcVroyvAAAxUWo4CYgBJDvcgY1/Ng14bz6s3X2emUZE880VlsQiA4r1GVqHVd9RvDQDv15jjVnXdeu+DQ+HC9frs2n56DiXSoCqnpGngjzJ02MoOsZGymJFyCEMMYqlUrprFgsFZaXl58+ffr06dMXL17s7+8TQghIWm5OQmRZlmU5FJKi0Wg0HMtms9dvTN+8OX3jxq2hoaGubCYej4NgP0HGjo+P9/f3Nza2lldWFheXV1ZWNzc3c7lj1Qo+IUtChJo2oxKNa0Mp5WYhngNOy1Ih9AnyXHiafOTmesoIcDuRYNxnRh8S6y4KOsVVkiQpHI4m29q7urp6e3v7Bnr7+/sHB4eHhoayPZlwKOySPQItfY76Hp1G/zu0c9Om7JqxSJiT/b8453mvqy4Dn62IaeGS0KgB4ryYqs3DvyWNZ8S7ZNhMDzYuKj8gZjYiv7UJ6hkbhHOWCAnGWLVcKZfLfPeYZ7/9+uzF769evTo+PuQ8UOD/AiUEeWKKtnh7NBodGbv25MmTO3fvX795I5PJxGIxWb+JorDc8fHBwcHu9s729vb6xtbGxsbq+trBwQHPnG1kra4yFRVVt60g0UPVBBc3gL5QEpV2Ld+onvXVlcrKV1pgRlEwvq+C4VE2LFCc0wpAKaWhkBSLxTpT6e7u7p4+Ll8GBwYG+gb6u7q6nF5h1POx8u5EAgSp7d1Zj3lmDPtotK407S+RUn+iyZXg3QSeQK5Ea68mWnwiuKwAy3O7i5fluC6IdmLjwLAQlcvl09PTXC53clLg0blHB4e7u9t7ewe7u7vc9H54kMud5BEZoahF4dKQJEmE8onV3IJAsEZJAAwIAVG/1w6MDNbAv1Xnc5mCynR0U9TS42G1WkZEHiuMej4KRJQkKdEWS7Z3pDqT3Dbflc1kMpmOjnQymYxFE6FoJByWAaBUKO3v7y8vrnz48OHNmzdbW1tUAkmSKM/DqjJEJLLc3d09MDAwfG1wamLy7t3bN27c6O7ujcfjPNcS6lF13MZFiISIIi1IEkSOHjbMzAdsQj9GsCf7qPPyT6+LfGEIwCeCVoC3Dh8P1VXvIgKNEv8uHuJM66Uz2ezvrqNW0G4Jj/MFzKZSqUgkkk13jQwNzy7Mr62t7e8dnp6eKozJsowEVGRKUTk7K6nqwcHRYaF4dnBwsLa20dvb29XVFY0lwnKEk/mr1WqlXDw9PT0+Pt7Z3d/d3V1d39jb2Tk8PCyXS3w3A/6vJElICSFEohKKiSeAgDC7InCfBFKQNJ1YNH7xbrF+oZTvj4MUgDBN3edmMj6pIzAVEVVkXNCoqspTIPE4iGQyubq6zOPRMpnubDabyaQ7OzuTyY5UKpVojyeTyba2tkg4YvXocp2dGZ0MLuQjIaudYL9r8YxaaOHzwVXPWxQQPBLAXUUXHZoe+e/AoRoZkVz8T0ppW1tbW3t7VybT1tYWiYa6urPDw8NLS0ubm5v7+/v5kxPGQJbDlBLGGOcHIeLp2YmKbHtnb2Z+rru7t62tLSKHELFcLp+dnZ7kTvMnx4eHh4eHh3u7B3t7ezt7eycnJ4pSBT3nNJG5f9kMUiMEEYASAbb2M9RyRPDFjuZZ8VL/DLs/X8Xw9E8EARjTM2HrW6oZfhEAkGXaFm/v7OzsSHeauTWy2a5spiOZSnaktE19kslEIiFRiehrLAbon2HKB/obcSHD8qWNjZrUsu9/kfjClIx6dx2iDpeav73/vHIPBVkO1cjELrw4gb/gNncDaN5Uw9dq5kIW7OIGCoXCwd7+0tLK0tLSwsLSyurq2tpaLn+kKIoRS6WqKlN5zmktvw9X07lH1zqj2lvOfbBgm2p5uK9mazftRCa9CNGINyOE8MzQmsHIxWYv7nDPcxtJ2sJBV685wzOdTnemM6l0lyzLW+ubKysrJ7l8sVjUbggqr4pbnagkJdpid+/e/etf/3rv3r2JsfFEIkH0TZT5uyCEaNQgMEPKeM4LJLoLwi5CGAAgoYBUe0dger+RixwhZMLCAgOTTwTEltwanEkv/A1JQWKewSHjrxLOlxXYmErnnDHE81+U16IJPpE/bFc5Ezl9AlwRv64T9Qpx0eBu462IfCIikEx5qjqbAYn/qqpquVjK5XJv3rz5+9///serF4uLi6VSSQ5FpJDM50bDTSpJkiyFw1pGz2goFApJYZUh39+gVCkbOac1jiqiyhR+O2OmJUJkGQhu3hCVhB083YWp6PoGYX0iCBrgmzcL3ghAVClI4hYERh49feMFPuUzQghQQpBx5lEoFMpmswMDAyMjI6PjY+OTE/2Dg/29vdFwBMDMVeT+HXm+VZesK8TBWxRoR0xYm1GhB/y/08vAZyhiWrhU1KID+HDlXB0PzYxzf9l9UZJdlDsXLYP4jOTc/0uEmNDTmELMqdLqGzamR72MpZfEORYA0BA/wkm+HUGpVMrlci9evPj5Xz+9ev1yYXGxUqlQKhuShRCJcPkiy6FQJBwOt7e3p1IpmcrlcrlQPDs5ySuKqokUvmsOQ26aMdrPRQwAIEVCiGxk3CPEsBOJj0OpoLQTFN8+V/J5X1n82w5osRcAQJjRIdzRgdruaaqe5FSzW/FfKaWyLMfbEgP9vYNDQ6Oj42NjY+Pjo/39/Z1dGYnqqTwAGWMuOVIFw5yxJLGuK20MVjOfkQjHha7g9LHLzw7WfH6iL0pjbwxfLZ9ITBzrs2655MER1NtgnVv9Eh/wuYBYf+LmHMOMUywWj45yBxr2jo6ODvYO9/f3d3b2dvf29vb2Dw4OSqUiN5pwTZ1SSonMdWJDqBAws1CD1UWAZnCs+dVZpl1+oPlUiTmHirOr8GyIiJQQHjHB7ERY43aMMdS0eYUxxlRjs2RVluVwOLy9vd3WnorH2yRJPjo6Ojo6YopKCAmFQpJEASnnJsVisd7e3oGBgWujw9evX7958+a1a9eymSwhpFrlTgAGAJQS1HNyg26m4U+JiJotzF0GOwmfAAikxl4T/GmF/jd7wG+d0UILVxuiit9K4XRR8NeWLOYkx09IAAhQQsPhcCIWb2trQ0QEtX+gd25ubmFhYX1jq1JRAAkg5XMRY6xaURkrMcYIGDHCsspQUZRqtVquVkCPGuNGJZC0Y0ODF90PNhUfUdUkAlC+oyU/1lvNCLHYegSppBUQHxQRGQFEpBrFx5KpFJBoey2DBAAMVWSMx1wzxtSqwhSVMUYpzefzh4eHW1tb84sLf7x+xfNeZ9Kcc5Tp6etNpVKUUPC1GTnXV7wP9MKIetQG7x/rAkyju3HJaXu/LYtMCy0EwxfCBroIEDdiIzr8EOCYu6w+XcKnWW6C4XM13/krGo/F42137qgSoX0D/QsLc4uLi5ub26enp9WqCgBUAkDk+y8zpYCIB6H9eDxOKVUUpVgulctlxngOaUL0lKl8n0pxJWIsWxhjRjwvIUR88cZDEcKlG3Pus85P8GgynmWVCAJL7A10uB+0HjAWVkQioCIgz6XN920wwhcikUj+OLezu7+6uv7+/fvu7kw2m+3qynZlM11dXd3d3d3d3W1tbbw2pm8fYVuXEdBEhsMCC5ZiommJC1xCEEWp5ClNjPfewmeHr5BP5FxvXE70cr1WSU8/CeqMG3BY8fWTqlYALYk8EVTQ5y/DGZvPn+7s7MzNzX38MPvx48elleW9vb3CySnRN0g2AruECUKz0hhzqABtptBzEkmEECSMUiruiaC1SjPRcxexxavAGOOzIQh2Iq1JPBcPD/5lBABUVeWFCAIDVTsUiUj6zMhMm5M5SzJtixzNF8Hj5YiwfSaRoL+//8HDh48ePXrw4EEmk+F5N4yd1/QrLBwiQgg36BP9lCiNnPMpA7NJfO0hwgjOE16z76RrMxLxbai9+US6MBf/+LycvV5MwOAZARrPQwSWgf3FZiNywnWE6F8An2mD8Im8GFhOXN1+u4JsI802bd1v0fBSgrclWRvMuqbLTxoWFi01psonVS3SVgvCqlaPjo7Wlld++vcvP/38752dvbNiUdQyicbiMX3LBADBsjGZAV7eyNRAeNojKusbXhKZmNLHdFwTpuVi0NrNH9uFX4C6P4PXwuWj6d0F4HKF8ExGXHiAasggnpGUc3UZKkYbuLAE4XGMCVNRlFBIamtr6+3umZ6evn379r0H90dHr6UzXbIUrjLNtERF/m8gBY0CMGIpanrCwSZ2Tbj7hy8Tn5WI+f/Z+8/nOpIkTxR1j8yjD7QGCEkCBKhlCbLIququru7pmZ7eu+/a2nvP9o+7Zs/u7p2Ztd3t7hEtS7CotQA1CYIgQGgNHJWZ4e9DRGZGinNwIEiCJNzKWAeZkZGRkZHuHu4/d9+hd0BFRMyay6O0PlB+TtJi/omtQRkEn630g70rKSOt0SAwLdLiAEE102b1Ts4157jNghw7PvkudKQSAICTr9PiviCsfN5YWlp4/Xr0x5/OXbtyfXh4ZH5hCRF1pgETVgtk5EorhwGixLMgkXtKMH5m6/AO9NUhxpjIpGHn7lFxMfI3ETE7MouIxL5GYHKd7KuOvBO/OTdRZMSTJTt5EG2kTk7wX+4IL7kehHyyyIJILFpdXd3e3j4wMHDgwIEjR460t7dXVVUxxkxuAHhyFQGXsQ6hMiJk1+aRGuFfgdrScb2gjbe1Hy0k/faboAADEVuwYs130EMh9HHiicpxTW/ThRJkH8HfwUy6Nl5HAwAEyOVy4+PjExNT4+Pjr1+/npiYmJqcmZqampiamp2dXV1dNQsF1JgDHVLtGrarUtpcnLvouq7rLBaLJ5PJeDwej8cTiUQynorEopGIFo1Go9GorusRTdciuoZMj0ZEPDBjuloMzbHy2OhQLlzNpk15o1AoFETZAqNg5WzK53K5zGoml83n88LDgF4Xh2qmITsG2DRNzrmooabpOue6rkcZYzrTmKYlk8m6+vqu7o6enp49vb09PT21tbXxeFzGl3FL1cLB62dAWXvHbxjyyi0/FTnof8trslen/2I3Cqcd5XxDpH4IOxsc2+/65hD+OwRQxqeNbpUA//ESMEVXH7U3JSrbcbRYVCz4AEBgMQ1iLFJbW6tpmh6LtrTuunDx8u3bdzOZFdeGQgQAFgAnzhS7vf0grmPD6ZlzEwAYYxHQtFgimUikUilRTSwVj4nKlaKAgKZpTAPGmM4iAAAiUx5oACDCgm1u7FpG5C2IOJky0s2yjIIlKuMYhlEoFFz5ksvlcrlsLmfk86Zp2iPWpQNGCUlgjJG9vVHJMAwia3V1VVQOHRsbu3fvXlv7rvb2ts7uns7OzoaGhogeAQAi4CSQXGszFJKOHK5ImZANNvkdwiEHfbRjr9mhD512ZI2H1qcxesnLXjxSxpEd6g/njrZEEQekHUfATp0+EVHTtESCRSI10ajOOa+rqb9x8+7jx0+WlpZyuSzn3AILyC6JLOz+nAEAMgLShA3fGRLnJtlIHwDQdD0Wi4lSlULEpFKpWCwWT0QjkUhUjzHGxFZF5G+2DR8io7YafQwAwEAtSsPE7SzL4hxM0zTNgtjIFPKmFDHZrF2ILSsEjYALgVeyuNYr+01ZlmWJMG0RLWGYtLKSyWQymczSwuLLF8M3b97ctWtXR0dHT0+XKB8hUFQWSRucapRS7uj/LuxWnn/R9gD53r6PiMhrJNqh94neUztROekqNpaLhIVdu649TzlSp0QbNZWAS8pB5vBZcPD/bjsGKkASHfcmAEmLs2WYIyMjd+4N3r0zODg4+OrVq5m5WeHGFB3qsUg0GhEftrDNIwJDx+TEAEDTRH0xBsBF7EAkEkmk4lVVVVVVNVVVVZWVlRWVlVUV1cl0IpmKp1KpRDwVi8XisVgkGo3HYnokEolqAphjW6Mc04a7G5HxCDkjl8sVDKmpr64ur6ysrKysZLP5lZWV5eXl5eXlxfmFpaWlpaWllZWVTCZnWZaTVEOYm1y/BAciYogmACKaxJFL+7dQ5XVdB+BRTY8loi2tTSdOnOgfGGhqbEyn05ZlZTIZXY/quq4zjTgCIgEyDYhzsvNlyO0OAbo8V5Nld4gjIiE4fn6ZA68I/3SQROvisAhMZq+TWCav9wZcbNGHuw8o5i3cSui4kg8FQL5r15ey1XzjPaJNQvSDfLj029xYzoit9Amj8huUI8Wp3LsX8yELHuKLYyUiO4ZX/HbvZfMAxY+nehqE4OCu4Zvb+BpxL0AUhh1Qogbsiy2yuG3J55FIpLd3d2NT08zs/OPHT3NGAQCYaXDO7UguYggEiDbOXzBgDUBEmDmBZhoDOwYN4/FkKp2urq6trqutqampqqqqrqisqKgQjgk9Fo1EIvFIFBGlTNHAqX2JSkojR6kVUs8tc2MYlmU5hqHl5eVcLpfJZBwRs7S0JIoxLy8v57MFspGqtrZtqV5hToyACCyGjGkAGgDyWCwm5i2fN0ZGRoeHRwyrUFNV3dXVdezE0dOnT+/bt6+1tTUajVuW5eSzA/DWplG3WHL9yJg4zuW+hQMBOm/cXWm22iDjBdBN0qT4eIGDu5I1WN+qfvdUHHMRktepSB/Bsx8Yf/5gqPz3wov8VimIMyodfFA6o2iJ3Elgf2uwrv3FFn99YZ9KuKsy0F7gUlVghm0ycDVV21qtPh0jAgAB1nfzEHnB8QwAQBqJiIgzJAKOSBYvCJ8x06CjoyMWS62s5ldWVk3OC5ZhGQZZrt0HQVRGU59LxJ05cQAxhiiCAXRd1yOxdDpdU1NTW1tbV1dXXV1dUVFRXS2r0YtsevZuRXcjJxQ/vKxShpyINHsTAExmGjItMk3TMgv5fD5XyGcymWw2Kww6y8vLK0tSsiwtLS0vLi0vL2fzwlQkvNqm2MjYWz8ONgiXIXLOdU0DiErRwzkArKxkni49f/ToERHVN9T29vZ+8umnn3/+eW9vb1NTC2PMIhMRkWncLoDj4I6JCAkDK0GVI8I1opEikuyBgR2JpuKPnGZ21iSyEJFzDK2v/SapFCaPlLWKOzzfpvfUTuTQ5pNWrLmZedMByf5vT5Bjuw36V13eGorIBU1g4BGRoTs5szMzw8Mjw8NDr16Ojr4emxifGh8fn5qaXlpZzuWyACDidUFjDBhDhkjEmGtx5lwo9JqmJZPJqqqK2tr6urq66urK6urqynSVqOeSTCbj8WQsFovGBCUiES0S1SKRiK5FdZskUkkDFa8k8sD5nk4mNLXANE2LG4ZhmGZBuHkNwzAMq1Cw4UXZnLDHZzKZ1dXs6urqysrS8vLyysrK/PziwsLcwsLC8vLy6upqwbAcXwcRaYDAmJOcgmyoUTaXY0tLs7Ozr8fHG5ua2lpb0+m0puuapgmW7QQ9iAGrmFUiEimgPC+UwNli2Q+p/KtIaPLURQZPI7c3VUKHry0ZAqjmpChZl+ldoZrfU1I/wB3H+w5tB0JcO1ApCDLiQCgqE/u6CogYFIFsiIBS1WOMoYaRiEDB0PLy6tTU1Ovx8aGh4WdPnxqGwUhyPIfrOh+La7sXuTY56boeiyVSqVRtbW11dXVNdWV1dXVVVUVVVVVFRVVFRUUylUokEvF4MpqIJ6KxqCtVdF+Wa1l5U+HSqkvWeXThSyA1es40hcHIMAwha/L5fKGQExjWXC63urqayWRWVjKrq6u2CWlhcXFxYWFpeXk5k8lYlgV21gZkhKABcjviQOr6lmWZ3DJNvri4PDw8nM1mR16+7Ozq2b1798DAwJ49exoaGpAxFLMkplCJ45A/wN0XATB08gNKVi7eoCtmbB84+vuR72WtpbNDO/Tx0pvYC7xPCY98Sk6oMxsAnNRCPvHhEyhB4eKJaJM+Yy74eSQSIeScR7LZ7Orq6uvR8eEXI0PDLx8/eTY9PZ3NZg3D4HbFAzEGcMLZXPMKAIAADVVXV9fU1NTUVtVUVVdVVVVXV6crqioqKhywajweF3uYqC1j7HL1zK7DIyo722H2CBrIpHVEJOQOocw7QUQWF/FllmVZhmUahmEW8oZhGBYvFGzxIiibW81mVldXV7OZ1eXM0vLy8tLC0tLSwsLS4uLi0tLC6mrOsjwVqx2hprouuGWZJrcsY25u7umT58vLy0+ePOnu7t6zp29gYKC7u7OmrlbkuDAt03kj9i7AL/2dPSkodh/fSigqR5ADebIQiOLXKhxph7Ytve92IggzFZW2HIX6qJ1OykxdFBwDFOlhzTGUIoex+uzudrkyGf/JGHNyEhERIXIixtEiS+i7iwsLL54P3bhx686dW/cGH8zOznLOZUIchpF4DACcgloMpCrJACMRTUNdpBRFRF2LxhPRmtraxsbGXW1tu3btam5paWpqampsrK6uTqUSuq4LHkrIiexM/spvh42qD+g+HRfDd/V4C5BQ0yOk6RHEqHOVnf8IieyalCJPBOeFQiGTySwuLs7Nzc3OTc9Oz0xMTExOTk5MTEzNTM/Pz2dXM85+wLBMzjk3yTRNTkRgASGRRQSFQoFb1tjYWDKZ1DUtGYsXCoWq6upoIh5hmqZpqGmMoRCKwjcOqAESgUifBFJOqG+cLGmxJjdDnogZQNDIrmuGjIi4J0sRKWtGeP7Fv8LbTyVVfE+RA8W04WlU2jO2PelN2PtLz4Prb1SRRGFybr2j+hh81+vViYt59SFwPNg+6D0u9jY3QqpF1WNbKevq8HGS62H20Hp1KM94FAwRBXFA9n1R2KadZALSr8iczMqM3GABJoUMCM7OybQMbpqmaVmFQmFqcvL58+e3b929fffe1ORMPpsDN6U0aICASCgidlFHHcGNbtY1LRaLpSsqmpqampubm5ubm5qaxO/6+vrqqqpkMqnrGqG0ksvBkpxGJ8mCIx2cpxYlPkOzabhzVZ62SkSFgpnJZObnZ+fm5mZnZ2dmZmZmZiYnJyfHJ6anp+cWFvP5PHdKtlmGxcGyLMfXwjkn0JDpOgBFCZCvZnNPnjx7/PhxdfXt7u7O06dP53KZPXv6GhsbZfZujTkDVnUAYI4UEEmTmCeFXUBrF6Y9Z0m4x9Fde2F2xvKzvL17Kv4Wyx/zVvKKHdpq4uUxRZ9avt48pOvViMqXTW9iLa2tM4R4ATe4PedKfy6SWm5VkIksRsI1oJ4CAGBKNRsbvQKOMiuTEnEQyHs7v7LYxZiWlcvllhYXX758+fDB49u37z5+/HRpeTlXyBcKBRmejKKWDpN5hUAadzTGGANN06LRaDKdqqmpaW5qbW1tbW5pbGlpaWlqbWhoqK6pSSaTmqZpDIW4E+wavPZ0RHR9ALZ9RsJqwAIRcUaWrXQzR8qgzPvBATgJlCuFZ4gjgkLBWM2uzC8uLs4tTs5Mz89OT01NiV3M9OTU3NxcLpdz45lN4pyb3LCzjGjILEYEuq7zCECCyJpfXJqamb57735jY2Pfnt6zZ8/ms5919XTX1tYyuxazJzRFyVxhH/PgwrwDDm2jtmBKS6bAVyX+aFuZihy/yzsdxTai9zRcsJwcdeX3U4yDly8nNh5rZuttfjyRfdYLSPHhz207kd0/Q9BsWD1YFk1PTz9+/PjZ06fPn7149erVzPT01PT03NxcNp9DOxm1hEoCaOBkdOaIaFlWNKanUqna6rrm5uaGhobGxsb6usaautqqqoqKioqKdDqVTkvru0wSoeR9AODEERjnJMPf3HyiYX4GHs4mOAIjmbVaZVsuqtPdCci55ZxM0xR2eRHum8mu5LO5lczqysrK0tLSwty80OxnZ2enZqZnp2fm5xdXV5dN07RTa6Oo5sYQo9FoZWVlTU1NY2NjW1tbe0dHd3d3Z2dne3t7Y2OjpjHOSUSrifeLKG1hjj8BwBf15dYwVncyMuk4us5ej23IM1/uykS5cgJNlNhwDwdW7UQeHJMba+DMZDHmsG14evk5KdfbJyg9q6TmIwQAsK2aRVCsGwQcvTd2onBII7p44/Jix0q3KfZ+gzy/9HrYyvncHPJufXai4r0QBuzDtmnA9e8pGrzbQBAScHDr8qIda+bLYA0ADNwEQ4gkEsuhrISwNDkxMfxi5MXL4ZGRkYnX4zMzM1NTM7Pzc5ZJDg7fstE6lmUJxKuu6+lUZW1tbX19fUNDQ319fUN9fW1tbVV1dTqdFukhHO9uIpGIRaOaFgyA8HgduJJpVW0JSvsgrcOlad/YsqhQcHNJOBEEq6urS0sr8/PzQr7Mzk5PTU3NzM0uLCzkMnkSpZTFBkOEdAmPN5mWYXLOI5FIRUVFY2N9e3t79+6evXv3HjlypKenJ5VOAwABcdNSM8ja8kXYAWV0IdqgMi7xyOpuxLMzcaWqIqdURJr0+oAqcQRtzdf07kTMe8NjP3IKWyE8sDxC7TLOKy5fQyhH1pRDpWWTb5yhx9dLG7ITbYjsmCMhVvx3FBXcQ3FDRO6GhiikugLY8gUAmK7pmo4ApmnOzsyMjY4PDb8YHh5+9XJkenp2bm5ucnpqcX7JME1gLmKIwDIMQ0ScRSKRRCJRU1PT0NDQUF/f0FDX0NBQV1dXWV1VWVmZTlUmk8lEOpFMJtOJdDwej8Rjul1M3kbOuF5tzzoMs2sgiv20eC7u2InA4WaEgISi7rES4Rv61ojAIiubz+fzRjabzeUy2Ww2J0TM8srS0tL8/LwoUD0zMzMzNTszMzO3MJvNZuX+Qu5i5I5J2NoMwyCieDxeVVHZ1NTQ3t7e29u7d6D/6NGjHR0dsXgcAQTKFRQZGtysBR4cQ4/b5NGoUeZOceZYicF8Mzy/pI4aaCzOvolxvM/0wdiJVFqv7b/YVbw4zii0t/XapxTbkKykHgrzc+JFpS4Y+spE+lxGTOji2Uxmemp2aGjo6tWrd+7cefTo0dzCvIYMGDKmcQBRvgWFLUcE6KKuaZqus0gkEo/FdJ0lk8na2tqWlraurq62Xbva2tpaW3c1NTUlEjHV9GwBgJ0QDsBGuIDlfoqchAbvgAx9VnmVEFHUlFEPMmWh+jI1gC+MQqCKRBvUBDQUBRpUY5ZlZbPZhbmZ8fHxidfj4+PjY2OvxsbGJien5+bm8vm8YeTtWAPTNE2Z6Y2jyD9XW1vb3dnV399/4OC+vr6+jq72iooKPRqPRqNRnWmaJhFAth1HjbxVTUWIKMuaMf+rlD4HWYo5gCHyzphrUCr5EReNSlPmDRXO7TTfNnait4/NDrcdey25KoZ2bTtRiWbKHVV6D/Ywb9hOVJqvrtdOVIw2Yldajz5RbB6C992CNx60E0EAUOjo66RkI1Lbe7qyvSkO1yKyTNM0C5ZlWUtLSxMTE8+fP79//+H9hw+ePHkyMz1XKBQILE3XE4lELBYTgxF5pp1KkdFoNJ5I1NbWtrS0tLa27mpv3bVrV2tzS0NDQ2VVDWMovjREsCyugYuol1qp4JA8wD9lbfiN1fCS70XYVsQuyHGc2HdXehZOBfLE+nEOuVxudnb29dir8XEhYsZev349OTm5uLgsMpgahmEZphAxnCuF5MTNOM8XspqmtTa3DAwMfPnlmWMnjrfuaquurtZ1pmmah/Moey3nSMAPHKLKi/foPIZtY/Lr629an36TImbzO/AdW9K7p03YiULPluNL2Fp9Y2M+7LXJ+w2Wkq2elpv+dB07EXg92R77tXxrzK5zb4c7oNxTkX+zI/wTgv8Q59w0RcK7wuzs7Mjwq8ePn95/+ODRo0cvXrzIZDLiOYSvQqJcGdN1nUX0mB6JRGKxqJ5IJquqqpqbm3ft2tXW1tbW1rarra2pqamyqioejwIA5wK1BJrwLhMHAI24d2CEGiO7RhoTD15k5wLgceK6pyjoilDWg8gWBwwAHAST8DGLOAN7AyMziloW5fP5udnZiYmJsfHR169fj468Gh8fn5iYWFpaEvmbBALLMlwRI3PngUyskctnotFoR0fH4YMHvvz6q0OHDjU1NaUrUyJ8GxxJ55Gw8u24k4PiaDF5EbLmA5IoaEVaj9umDFqXnSiMyrH2fuC0YycqcdXbsxNJ1LftFgUAUriVDBDjIg9b+LPrmi7GurS08uD+/Xv37j1++GT45cvZ2dnZ+bmlpaV8Pi+BD0wTaYssywKLE1nEEADikWhdXV1zc3NbW9uutpaWlpaGhoaampqKiqpUKpVIJpPJZDSRjMfjEcWYbgnoimW637ZS09d+ALlXYYwpTgOX2wrm6Gq3gWcMLQfvuiAUPzlxRDsrqg+5I/Y5nJtWwcjmVvNZ4QdeFfmMFhcXp6amxsfHXo2MvHr1aujFi9nZ2YJpcc4Z6gBAhLFINJVKpdPpyqp0VVVVXX19z+6uvX0Dhw4d6tndVVFRwZCZlmmaJiicyP3hMRXJ6DzliJw9F1VEDBG44NQBO9GanC4QVeEBGQEAC3SwYycKI7WGq1/7LGEhKrZbK0I7dqJgm43ZicDBM5dHH5SdSJBfCw+zExG5SKLgtS5IR1pMOGNM0yLC9j02Nvb86dDg4OCzZ89GR0enpqYWFpcXFxdXVlYKBYOIcyBNQ1HmknOu63p1dXVjY2NHR0dbW1tDfX19fX1VdW1FRSopKCXqYyZisZgeiQGApfhymb33cL8g5A5qxkvhSH6VAuYS39ftvhcFq+tMjqLIMgSHqzNEKbiBcyoUCrnsajabVTOVLiwsTU9PT0y8fv369evRsdHR0YWFhUJBwogkP2FMBEQDQCIeraysrKura2tv7e/vP3Tk8PGjR9rad4n7mabp88k771flPD4xZMtB1Zcr9yQQsBORNwZcpR070Q69HfrA7EQlNlzrXfPbzU5k+7PFaMT/JP8UdiJx0NlTeX0SFgDoLKLrOiJaljU0NPzkyZMHDwaHhoYmXk/OzM0uLiwvLS2trq5yzgk9SdY45/F4vL6+vmVX2+6u7l27Opobm2rqqp0s1FLKJBLxeFyPRISfmwjsugpARBaQiF1wjCMq1tLDC/z+Wq+hBFV54drOvHyVnP7sugHMPyeo3EvZEQCAZXHTMDKZTDafyWazonrm6urq/Pz89PT0xMTE69evx8bGxl6NLiws5PN5IhTJ+wA1MV2maSJiMhWvrqyqq6vp6Orct2/f4cOHjx4/0lDfIOxapml6p0KVjG4E9Jp2It/8hLUBteV2shOpKiV8tBLhA8hPtHkq8dZZeWuiWJtyLZElUo8SyfoyUr3zYkwQkYFGAPm8sbqaXZibHxkZuXb9yo0bNx4+eDw9PY2MkDHGdD0WdXVuAgCIRiPRSCQejyeSyXgiWlVRKUzvnZ2dHR1dHR0d9Q0NFRUpexhABCaBxXnBskBkmgA7vY6K6FFtHxIWgwB2/R2Qz6K2RDEm+el6HNoqp/ba10hYtgXXEXZ355ZiX2GBRQqcVdyXMRaJx2LJhM5ALTmcy+cmJiZevXo1PPT8+fPnjU1NY2Nji4vLImVpLlcoFAoFI5efz05OT1gmB+DJZHLPnj2vDo4uzM/Pzk3v2rWrtrY2mUxGo1Hf+OWfSlwJqXYfT6Yh4TdgRIBMmojcls7ElsHmgm3WtAm/C7xlaTz2OyRbJfDMWlDjDNmRCqBvGVYhtbcPSQ6VY8cvZg8qfx5K3GUDi2d9c17s1VJIm2DPwff+ZgmVrPeiEhZxLOYlcg5y5GKTwRgDYJZlZTKr+Xx+dnrm0aNHd+/evX795uMnTyYmJrLZLGpMwIUQERlDzhnTk8l0TU1VIpFIV6Vbmpra29t3797d0dHR2tzW0NBQXV3thCoTgMUt8eEIC4gHx4f+r8krF+QzAsCa8+nzZFKIZ9hvu/e0sbNmgP2ZSy+IuMiOR4hGo/FEtAZqZT8AnMNKZnl8fPz16NjIyMjLly+Gh5umJidXljOZTKZQKGSz+VwuZ5omQ4hGIohoWObUzPTI6KtHTx6/fPlqenq6kMkN7O+vq6tLp9ORWFzXdTmGIm/Qnj151GsUkwdke1KNa9w+K3BVG8ZnvT3yfnebkR0fBgf+sImJT0o5ErQKqXIkHB0cRm/CQuQh3ze4MdrU9Vug5DGnI2EWcmrqou2GAJkqTuj5QMAkdEeaRrizlxFfq8YiRGQY1spKJpfLTUxM3L/34Pbt2zdvXh8eHp5fWCoUCrquCykjjPKIqGtaPB5PJuPJZLKmrratra2np6evr6+7a3dzc3NtbW06nXQ2FQTELSAZ5Iv2g3BE9NuAUGYaUmulaXauVQDwWYJQqRcEZVg6ENGePfuOTm/SXi/GKTqxiIi43EoRkajPEIlGq2OxGlat7mKWV5YnJiZGR0dHR169ePHiZdPw1NSUKK1QKBSy2WwuV7AszhCjkQgg5rKF1ysTQ0NDT5486EznMAABAABJREFUG3s1Oj87VygU9uzpqa6uTqcrY7EYaLZlE5E8SCtN2gMhJMKj9PbErraJPtsTAAdAn13pHZGPD7Cwsx+RjNjBE5Vov7X+qPDfvrra4Hos3QgXaZsPaLTISJRhBICXI69v3Lhx59bt+/fvT01PLC4urixnCoWCsLsT01xLLSeR8q22trZ9166urq6uro6Ojo7m5ubKysp0Oh2Px5PJdDwej0SjIn21Y2rh6OZnYbaNHBGdCmto4/OLESqhZ8ojh3BVp03A/8kAwHJEjqMWe+eHiDi6GrPTlUMMuPMbiHHOC0Yum83ms5nV1dWVlZXp6dkXL148evTo/v37wqeRy+X0aIQAGGiCX6dSqcp0Raoi3dLSdPDwoRMnTpw+fbqjvUMIS+EWVsbE5At2Is7sGD0AULNWy1GFxZpBeUaiYoJKPRaMOwt2Etr5lvLx7Wkn2rjfrzRHLY61gZLHtykV8dWUtqyVg99Z79vfjB94K2c7zE70tqmY9ceD+Q8giXwwIrDtRIgY1SMAsLi4/Pz58ytXrty8fmN4eHhqamZhcXF1dTVXyAvMI9qIUc5NAJZKJfb29h86fGDvQF9nd3dTQ0N1dbXINBSPJqLRaCQi0EkcAJyC8gCOxVx1QnocDII3qpA9RHRwNMpVnj8DLHENvBsRIWqq4CAi208uI6nFbwCRKQrdTE/oZppDRCTknCwy8/m8qGuTyaxks9n52YXx8fHh4eGnT58+e/bs5cuXq6tZABCFI8TtRI6nVDIu0uTt2dNz8tNPjh49fPDg4Vg8zmWVNr9vxvMgds2d0JlRTjCVO6n5jILYye2GJypuJ1rv170TZbC9qDgcoBx0KgQQAaGn3hCpWr1fzxe0MVUqTMqUjSfaUgrGmpGSC8LJSap6uF1ri20nQkThW52amnny+Nnly5fv3r07Ojo6MzOztLSUzWZFIJWTPNSyDCJijFWk07t37967t3ffvn3du3uampqqq6uTyWQinhJl7GVSagJuj03c3Va2Q3DHcruhyBfVQ4+BTBHqhcGDoXgi96xiYQmZT3RlluTw9hhI1r0hkU7J6dmyLKdiWjabzayszs/Pj4+Pvxh+/vTJ86dPn46MjGSzeZCFppmsNsq5pmEqlaqqqqqvr9070P/pp58eO3asr69P13VR6sf/GSoebjlL9nlXRnv5p1fooPcHV/7cYn67fjwRV36w4hrCRyQX3js80VZx9o2hhDa/SvyIRLCjdgGcQCqBRgBw+axzwP4yQWMMTaJCtrCytDo1NXXv3r0rV67cuXPn2bNnhlXQRaiurhOCBYQSSgOJRLIqXZFKpSrS6ZaWps7O7q6urs7ujo6Ojsb6Jse7ywlEYjiHQYgM9UiWw7ycL42ImM0lLCIm9Wn/NHEb+xP0qKhcw2fZUX+oWjsLfvxeqwqKKD1E5NIuQ0R2fJ/lZOYUt2aAwDAejycSCQZ1ACAgWt3dL9va2hobG3ftan35YmR6enppZXllZSWblVuj5eXlxcVFy7KePn06NTWzMLdo5AsHDx5samqqqqmOxWKMMcuybICJeHdMvFln7yGHIQ1f3HlqOSuqTC1Pq0CJ31qDHNSoY/uz6SPigAFS0b/rjgUL7r2LbFaljTjgUfmYZ16lzdh93qYN7l2+taI2KUQH4OnNFgEMiiKJpA9AwWPqjAGAafC55cXZmZkXQy/v3bt3/vz5O3fuzMzM5PN5LaJrmgYaYww556hhRNPT6WR1VUV1dW1jY31/38DBwwf2DvR3dXVVpitEzJpTuNeyDM5l5WCwrVeIyFHsbRy2LxIFOQ+HIDQ4JOHPRmAQMBIFSWngW1d+HGugvSKD5JZLCEo3/sJ2nHNh4CLxAHbFHCllGEsmkxWptNMnEU5OTna+fNnauqu1tfXF8+fTs/OLi4vLC4vLmeVCoQBEEV0HgJWVzOLi8tDQ8NjY2Orq6srS8upypqOrs7q6OpVKCWCRRa53tzSpfMlBFQFwgY4MCuji2MkPlWsFOc+H+qQfBpWOCSiGXX0T5IRVFbsFbhIP5L1XiRu5x9+ox0Lwb7fKgaiNAMwkrokjIJFErpNYXMhE9gndMIzF5ZnpqdlnT57fvXv3/Pnzjx49WlpayhsF4UtAhgw1zk2R4C5dUVldWVVVVdXU1NTX19ff379///72zo6qyiobOinN58RNg5RNgfxP5OYH/2cuauwI0UOuvcO2hbiRbr4M3AAQTOIgj3teNQfw1BwIvjvm2exJ+77rWZdXIQjvMgK3hGeCEJEjMKanUnraFjEIYJrm1NRUx3Bna8uu5ubmFy9ezM7OLi8sLywvra6uGoZBwDUNAdjS0src3MLz58/Hxyezq5mVpeXFxcXW1uaqqqpEIqVrGgdyHRLIAcAiQtufIOs4Iycg8RQemJWNFYJwYujmy3Mp+J28ed+bz0gUSh+dFHjv8ETl7BzeqAxY111K+c+DGeCkZ9K2xwv/JIDXHo8cETWmI4Jp8tHR0etXb3z33XdDQ0Nzc3OCt4rvjTFdqtQIlmVpGsYj0ba2toMHD/b39/fu6WlqaqqoqEokEpGYHo1Go3oMbO+iEyvrckYxZjFaYV9Q/ZPAhbrPATRby5SGISJEFB5PFJmlSy65YiakUO93yBEFfeMZJwqvNQMA5rFeg5x5hhYRc1JPE+Oc53K5fC6Xy2Xm5mZej44PDg5euXZ1cHBweHikULBlGCLnnDEWj8crKyvr6+sPHDjwy1/+4sQnJ3fv3s2QWdyyLJcDSjnheUhuBywwJ/pX1AlSHo8pdvpSM+YjjynKiyeSe0LwWPQBoEjIlafPEndcJ20XPJFqt1UH4H1Y1YoUvr0MpeCes4hH9D2TQG8MTwRF2hQj5hXwJXrzHVddvu5nAt5HK77g/X2+TTxRsXuRamRRSs8EcxKpz2gpfICRSDuNRLC8vHLt2rUffjg3ePfeixcvFhYWMplMwTQsy9I0jSMgomnKJDs1lRUD/X2ffPLJvn379u7dW1NTk0wmE6lkNBoVFSrVXNSkZPkB204EjsVKjF+JOBMWf0S0nbo8NNasDO7k82I4H3LRNRlY566u78kQZGOLipHQ+x1ObllkGIaMCMisLi0tDQ0N3717986tGw8ePJhbWDAMQ9ejmqaRKNRMpOt6KpWoqalqbd31yScnfv6Lb/bu3VtVVQUAeaOgrmHfAg7iiYKoIuGJcX47urvd0r/OS9TrKZPeNZ5oDUyZcnbHTvRuqDw8UflvubQM2jwFMQgAbwpP5Pod35UuEdy5SOWfUJQqDlfUkYOobMB0zmlhYeHChQsXLlx4MPhwZOTV4uJCPp83LJOIhHzRAC3L4JxHY3ptbe3+gX1Hjx7ev39/T88egVGNJxPRaFTXdTXvstzLCGsFMQCmcoawVaWgMr3gl1BeShieOFU2C7mB307kzUvraiCkREKo2CJ1POp+x9noAYCmYG+RGOfcNAu5XC6Xyebz+YWFhadPnw4ODl6/fv3x48dLS0umyUW0OBEyxjjnkYiWTqdramo6OnadPnPqZz/7WWdnd0VFBQcqFArq84ioDk3MlYIwYhIS4PHN2HtBBGCMuVFsqsblwxltiZ1onXiicnDuH50UeI/wRM4b4vaf5b8t37vf/Gtm618xRaxF4vu39Uuy8zKEfiWIyDQNEc2COTszPzIy8ujRo8uXL1+7dm1yekJYK3RdB9A4ggWkA4pvvrq6urauuqGuvqOjo6+vr7e3t7Ozs7KyEuSYiHMuYneJi8K9BACAHFxblcsrVdeuiJkiF5gDImkQEUn2YfsQNEU9Ld86GURkBEm+CdXiTkwZp7uHtG1G4iiCk7aDySFZlsWdmsGAiXSqoiINSG3tuzo6uuobG6qqqtpaWp8+fToxMTE3N7e4uJjLFYQbZWVlZXlpdWxsbHZ2FhHn5xcnDk52drbX1dXFkwnx1JZlqZmJbEtWiG1C+mEcQk5ywj0RauVMoGeuAjY++2HtVbd9qRzdrhydKWixpRJnA5e715UcSZn0kQie9WrkG25fphfI06YcJlPkjsGdc/jZwDhDzypD8vSmHufK8fAeVNkhshHJa4vnJAIARsJfiowxxrBQMKan5ycmpl48H7p89crly5eHhoZmZmYYY5FIBBF1PcI5R4aRSKSuuqaurqaxsXFXW0t/f//hQwf69u5tb2+3B8JE7iGLc1RmW1oiONlsDciu444IRKgBAhGK0GkiYICoxFGEBZiUl0nHd2HIhChLwuP/t33IroXIubufY4uLVSuSwBABEHf5fDQeicWjlZVpgAYAaGhqrqqprquraWlrGx0bmZycnJ+ZX1lZMTgnIsZ00zRnZuZmZ2fHXk+tZjNENDUxuaevt6mpKV1ZwRizTBL7KwJSfSSebYxaddQ+oEyFah1TTWlrzuQ7o/K+3o3pbDu03YgXeeGh7/ctO5zK9HY4sHEF9VO2DLK/1bXXZzE5snlyvBEC/kJEJKP1pYjxKZmiDTBCBE3TNaZlMrm5uZnJ8Ylnz55dvHzp+vXrL1++XFxcFDUxbWM3Z4xFI3pFRU19XV1TU8OuXbsGBvbu27evr6+vpaVNdM6BODc5F7ETdpiwfz7tOfcMS3JyGcBhGzNAQoiEtx4YMgdKg45+7nvAtfRBn10peInr06VS2qXH7yuQRELKSh+z20bw+UgsGovHq6qqELEToK6hsaampqampr29ffT12PTk1Ozs7OrqqimK9jBWMI2JqUmRD9swLLNg7T94oKenp6GpPp1OEyHnXOb9kHtDxTmhjBAYCmyRMmzbnRLmS1GNShLZKp5oW/Dhj0RRD6f3CE9Uvp2oHE69sfddzC9RTnv/SMSnwpWqLvK4XavY9QralgXGmKYhAEyOz/zwww8i0GxyctIwDJMb7iVMQ0TLsqIaq6qq6uzsPH7syP79+/fs2VNXVxeJREQZGgGdcSGOoKkWawAI5sfxOdsRUY1QlW0UzThYjcVHZWKLgg5StUHImwjW8bHj9cR8IqIP4QnuuxGYEXQ8qww4EXHTKhQKhVx+bm5ufGzsxo0bP124MDg4+OrVGOdci+iMMVHDUtMxGo22tLTs37//zJkz3377TUdXZyQSAQDDMOTUgQaK1Ya8oXw+Jd4Zv5wKNe9d2Vtcj89BHnLxRKH6xDbDE70RO1EQv+YeQS7cUOrZYhf6yAfjKkI88PjvmRwqG08UtI+sz5ZXHpUvy/12ohJNi7zBd28nUvWn0C9X5W8+JJE8azdTOY+ua4gwOTl7/fr18+fPXzx/4fXE+Goum8/nybQAgCMwxpCDaZrRaKS6urKvr+/U6c8OHzzU17entrY2EonEYjFd1237u+vzBK5+FOE4LHkLp5awkugHbJkS9lI2psmVwBc4JhJy5i2YUcI+ziU3VZqJluIthDJqLtsIr6zw/fJ8Pm8W8ouLi48fP7558+alS5cePnyYyeQEgEtsZACAaZqmYzqZ6u3dffLTT7766qtPPvkkEo2apnT6gIKl9UsWZQ59nnP1CNnmJAdl656yp2aT9GZETLGvrJg+Vozz7HiS3z2FrZBi9c7KeZtvGk+k3gvARRIFx+BvKWitle+OP0zi+Mfw5uxEnp0LJw7eDERekrYkkLwookcAYGTk9Y0bN3768dzVq1enZqZzuVyhUPABTg1uxWKRuuqaffv7P/vk04MHD+7Z3V1ZVWWLmCjYzNYi0hkIbR1sVI4yAtcPqg5O1ptX9yyqRzwwc17berm6t2Sk0ibFkCRr9plLSughRfdQAmEAzNmLeTpR858SICInLBQKRiFnGMb8/PzDhw9v3bh58eLFZ8+eZbNZyyJhoeNASKL+EauoqNi/f/8nn538+uuvDx89gjZ82CJiCoZIzd/E7CzdDvbK/maZurUJbHOYEwGtZscroeeUQxvCExXjFR8p/3+P8ETl07reqA+C/uYosK8gqfEHOaxPm0dguq4BQKFgTE3NjY6+fjB4/+rlq4MPBl++fJkrZBOJhLAyCCYbi0QqKioaGhqaWxpbW1s7Ojr29vb1dHW3tLUKawUACFQnkQxQCN3Wqmq6tMjYoCGQiSHsSOMi9qByciVA2Qy3GBCJKWOQ8Xo21snhRNK8DhbY6TBUT7vaDxBwBLRN+sjJQgRALYIVibhWzerr61ubWtOpysrq6t27d794/nxkdHRyemphYSGXy2nICgYtLy+vLK2uLmcyq7nl5eV9+/Z1dXW1tDXX1tYSMsviYvJ9STecVyCXgT1+ALs0GzFy6sKttb8tMrEbs2++OSrfOrD1Wl0xy6P9R8gM+DbVxV5BiePeN8KUfz8w8uF3SgC1fKdKvOjSK1OdzI0hkkItO1jOCyqD1YUMSdXjy9HpVSRRcU2HAEFF4AeRRBYQSHepzOiv6Ugc86YxNTk3MjLy+MHD27dv37p5/cHDB6uZjBaNMcZ01EzTBMaYzmqqqxob61tbWzs7du3Zs+fAgX27d+9ubW0Vw5PZlV0Xok0iykzKCwWVY9tf7KRpguWJ/2tMXlByarYGJhwk565u1IA3ggAg6BlW/kQBjpJAW89bYIrEN8lCxGgsGotHESrqGuqT6VSqorKmrn7Pnr6RkeHx8fHpycnV1VXLrkSWyxYW5ubz+XyhYOZyhdnZ2d7e3qaW5nQ6HdGjnHNp11NWsEXEpJsZiYRkd7OkOYYhj2FOcfOSXfts8xFn75qKjb987+MObQcqihK1j7w1PFE5K6S0FRLARhjZH12wvcJ/ihxXqRwFfL22JBVJZP8rMxBxdOvbuLZ1GdOs6ZpGRNlCfmJ8amRk9MGDB7dv375989aTp48KhhGJRISHm3OOgPFItKqqqrm5sbWtub1tV1/fnn379nV3dzc1tYhuLcuyLDEAQCbCF4TwsOPCVF0rWF+4yAzJfU2xLQkTeVoDv0MnikjaSkKEYIjqiHZthDWhSU4bYnZ2UV/EluhcPCmXK41zAoR4PJ5KJQCgobExmUxXpqtqa+ufPn08MjIy+XpycmY6k1lBFOXMYGUxs7CwYJpmrpDP5QpTU1M9PT2NzU2JRCKm65ZJnHNfTljfDNjPLncutvedwFMrxlm9QjAxWyoBvBkrZzEKi6sItSx/XOLgfcETBXl9CTyRoNL7z7Xt+sWHsTE8keIHIA+TJQQgxhGQ+78x8a8w65omn5mZuXPn3u9///vBu/dEngjOOQdL5K4XGCJN06qrqzs6Ok59/umRI0e6errr6uoYoCYSTtiaH2rMqZKiySgnTdULHdyN75FcywUBY8yXn9/3O/TC0uRr45hOXOtJMQ+kbScCCJEHaMf0ShRVWPIR2T9HRFSRPnYycWmVJ0LgxDnP5TKLi4tjr179cO7chUsX7927N/F6nDFdVO5kIv5a0xKJxP4DA1999dXZL788fuJoIp405B6KNPAb1z1PxNznRTsGuJhBbU1Dm40n4gCggYIXlWoCQgAN8VbwRCptXqVbA6siZGr5jiD1Wgh78DWX9Fp4InivRU5JPFExNM1m/LrlzFj5uDNJUtMK79lzXN0zlxxJac+2O4ZidqLiuvsaM+CiV0RuCIahSCJL0eeEZh+J6IZhzs8vXrt54/e/+8Pg3TuTk+OrKyucc5FsAgAYY9wwWUSvrq7u7ek+c/b0iWPH+/r21NXViRJdmqYB00DRpCHEbVhUXvhkB9rYSfQiCMoUJeVRud9gsQwja/bjSi70pJbwuabt2zAiofyTyF7EOZ+enr5988aVK1euXLr04sULk3MApgoyXY8mk8m29tZf/erbX/ziF927eyrSlYZjJxI8364voSECCXOdmFXhwNd8Aw5DG6nfNXesS5uhd4cneu9570dCa+GJNqO3b60JKXwkwey8Ye1DVqzzbZbZvggccm1ar53IFwNBJAzOaNmOVU/ndjwEgqbrWrZQmJmZuXzh8r//+78/efJkamoql121PQogKhhwbkYikdqq6r6+vjNnTx85cqR3d091dTUi6rquadLV7Vq3AVS4PYbFCsizxAB48LiGjIi4cH4jOu6KkLkqIrOKkbe96mkIa+zYlcg9ovajPAiEHocwl7PYwCCAPcky0x8RWZZlGgY3rYmJ19evX7966erly5fHJsY45wAMURO6AUcejUaT6VRXV9dvfvObL788097enqpIGwXLsiyPjFDwWbI+HfmH53gmvEgieTxoIS0vlrworQtP5P0WSvCHj0twvBd4ohKO6HVdpcqG8i1Eqlwp7bsoTUWkCDAgAORo4/PVDDKIGIloFtDU1MzQ0NDD+4/u3L11+/bN169fi9TImqaByKrDeSwWa21r7uzs7O7s6unp2bt3b0dHR31jQ0SPAJFow4GAuz5D4iAqE9sftICxgP21hhiJQNEjiTyQnKIckxNjjDgxp5ZwSVIVaCcqynV1FrFDeRIsYPgXrnIHBxspfhORSKXEkMjh5aKJzO6JJDZeDJmG8YiWTCeqaqqrqqq0SKS5ufnAvv3Pnz8fGhp6/fr14uJyzswxxojz5aUFzrll0tTkzLOnT/ft6+/q6a6urY1EdLDASXEdys5UYYwoTYkiek7OhgJJCpvKtf2lUpKVbPP+UOloJnlE4snCaR34JlsT8XtR7IOwFgTi/Z3nzVM5aKPSV5V/do15dvCGoUR2pUJpOZWcUWio3PktGyt3DNM2/CPBIr89A/C08dwLvb/IjgLAgDfCucoCkrFQiIyAaaBrumXR5MTki6GXg4ODN27dvHn9+qtXr7LZVQCIRGJEnIiIYTweb+vu3N3V3dXd0bt7z8DA3u7u7ubmZsaYgyGSrEnxH3By43xBzHbAaxqUHSJ/nDN7th8SgvZrr75eznfnvU955FTbLEFhOwfGuUyUgcSBgKFGjqPVlmWu5Qs5AHFiCBiNYjweBYB0Oq0hq6ioamtrf/Lk0YsXL8bGxuZmZvL5vB6Nc84Lhczq6momsxKPxlaWVg8ePtTX39vZ2ZmuqLTc2qUEgEysZGczh/YMeIxWQo8PrkfmPB2hB9m6rcj2CZcjC3bofSS2IZBBOWjl0hr+Vvmxih337E0c7N5a/QTRuOuzEJVPJJBEhETAEZETIAdOAnAg0JFceTOMABGZpmlMKxTMV69eP3/+fHBw8PbNW3du3Z6YGs/n84iaruuCRYHGKyoqOna1dnZ2dnV09vb29vX1dXd3NzY2OnYN27vN3TUguCsiABc1tmxGraI+/bOk2mt88si3ubDj0YjsPZraQP1d2n4UTHodYkMB1yvsFTd+NKvdZ1CjEPzcQpH7D0DWeiYZ88XI3U/FYrFkIgYAiVQSmFZVVbOrs+Pp08fDw8PjY2OzM/M5bkUiEW7xlZWV5eXlfDaXjCfm5+cPHtzf29u7q6M9lUzlTcuti81R2WSRgidyDzmrWtnocQCUFUzBrQjsXPPGPNPhZFuLfLP98boW3gs80VZZ/dfAGpS8+8YWRzDWjHy/Re43AksgekBEBABoIDlFJKKtrmYvX7584fz5C+cvDb8csjgXDmHHRMAYi0ajNbVVJ0+e/OKLLw7s279r1y5RK1fYdJkNyATbJmKXJ2PgzZDvDM9nlrYfSMTZAvi0/EAkTpB7ggOeKknOFKmmaI91iUtzjXo73+Wqn7YoAMeuO+Okl/O8HfsiIuJSP7YcOI+8C3AiaXfL5XIi3Pevf/7zhUuXnj59uri47GbjAyaKIre2Nf/qV9/++te/3jvQX9fQgBzVUmiBIXrwUMpDMrVNKR6q4I/kSBgQefITqcQCPD18XNsXT+QjP3ZMEIbV4FQv8Y7HxYGLKtfKWdHYYydS1h4AUDlLMfSO7wVtAk8UemodOm4Y+a5dF0iYO1qgQ4F1IlB4rgU96In12nR8wyhzJG5XPpsHhjawBxE0DJFjPFI4hihXYI9GZouYn1+8fvXGuXPn/va3vw0PD4u0oCAXvEZEmqbFYpHm5uYzZ86c/uLzQ4cOtbUI85DwNIRXY3QYLNi8pRwoUDEdutj6IQRcy2SxST3HwQHZDygszUrcnMik4K1fo4xW3QGGjN9vziOp64OtIQCRZZiGYQwNDX3//d+uXLly786d+fl5XYtyeyuAiKZZqKioOHr06Bdnz3zz7c/79+6zgEzTRERGTG51vFsm+eLI/R2KMHJ/k4yPCH3j66U3IWLsD2K9iL8d2o60LjhAESonnmDzdqJy8ESBb9+jFbigGFvTKIofL2NUZWAkld/lTKhEEtkZVAFk7hs1b4ZjJ1K3J5qGExMzly5dOnfu3E8//TQ5PgEAJjcAnBhY0nUWi8XaO9rOnDnz2ScnDxw41NjYCACIKKIl5DilBu5Gy9oVM12Eo+BRKn6n2G/38YsLJpvXyRUSZsSxO7FxNM5vca29v7CcHordy5F9jsQBr+wjIju7s5zdQB/+tW170F1l2HXzO7sYYERkGWYul3v06MEPP/xw7cqVwcHBpZWMrks0iS1ieF1dzfGTJ86cOf3NN990dneZBjdJ+oc0ZR052KKiWzBv8jvCcP0hdKdZPm0ATyTbyP8H7UQfndTY5niizewb10RpbqCfTZFYr5xz1MTXLhR24gjIGTqfjYA+ImMMiODRo2d37969fu3K4ODgyKvhpeXlaDSqaRoDsCwyTbOyMt22q2XPnj0DAwMDe/t7enqamxsrKio455ZFFnd5ijDwcORSy7UDzcR5BA0BXS8cyX8RvXXBnMcJVIV0cnYKQkBQtiuS99n6pR8pY5PLvxTrPoIdhQuMEAA0qZevxQJC2YHomXmTK/kbKyO3BZ7LA+UgGSKgpjNN06LxmCj/HIvFunfvfvTo0aMHDx49ejQ1M8c5N7kFANncai6f+f77H+fmFo4cPXrw4MH9BwZqa2otANO0fHhdAJDRIiI/FHd3Wci4OCv/tXO/2VJE8UHZ+CNXynJAAEtm8gYAsMscCd+9MP/7URJbTZv5HsvX7wOeFnvb780QAkE+Y69J1cIr6kOH6pEhlkrnjk7/0mC4QUTM+0XrxfWsy6BTfs8hB4OWHXmcBICCew9CcIWo1wb7CdudrvOhbPsQFhltqNmICGReBbAt6ag51UfUyxnJNHOIGNX0XD73YPDhndv3rl+/fu/evZFXw8sri3okIlRz0+REVlNTU3dPe29v7969e/f1D+zevbulpSUej4MNZSUEbte8BXDTDHGZTRmFd0EICB+qv2hmaAr6JJh6ymmJ4cAWz6JyvkTXIsMUO0gRP7DU1ZGJCmVI0vMs7L8OQsrXT5FhQLGV4Fa3QQQAiwjBQrRtXxwYYxqDWCwCkNjdu4cQWne17x8YePDgwePHj2em53JGDoBpmlYomHNzC/fv3y8UCovzC0ePPz905HBLWxsiEiGZcoNEdvUJZfyiFJ3Yw6B6yidDSVbe9PuE17vnfHP+SWejGjhTjuzYjGzaofeFilmOivmS1TbruEvA9+Bfgd6Py+Fv69oPlx5zOBWVg8WPE8hYZgQSKfBcDwRyALAIAT1VWRhjjMHy8ur9+w8H7967fv36/Qf3xl+PZrLZaDQqmIxpck3TGpobdnd39vX19fft3bt3b1dHZ0tLWySqE7gYIhX57vAfx5ssqmfKaGvPzAC4FiL3uP3bZuzkORu0TaCICGYSBIpgx0aovvNAHTQbFSt+a+5TqPmbPCNxZRyo+WAD76j0e1fdk/KIWI3y7uAY9EjsPIFpjMVikWQ6sXegHzW2a1fHwP6DD+/fe/r06dzCUqFQECpBLpebmjLu3r6Tz+fn5xePHD168ND+uoYG4U8i082pKqqnkai8CYHx2Hsobp9Fsq2GTg8ig57yRCSsSYHnDVu3G/EEhH11zNvVxygUtrmd6AMhn03EUVVLFPyzLE7EZmZmfvrpp7/86c9DQ0MLi3MAkEqlxOUiJVEsFtnV3nr06NEvvjj16aefVlVUi8uz2azkpGuks+GuGh2muJUWV4Se6C31eQXHZva3rXYo9gs+/wB4OQiA/PS552oAAAQNwgfrH3BpBIfAVBVFjaIilNT9AHLVFkNEpmValiWuqmto/Kq59ejRo0NDQ5cvXvzd735HDx8vLy8XCgXUGABYlnXr1q1Hjx4N3r9/5swZRDx+4qiuRTlxLYxHoUzqJl+j9DB4n0sYGsW+sth7DE4FORE0xd9weRCY7UlOcIrL4n0YImkeK25qLOE4Kofe26n76Ghdr9iHWHzLVAR94dqCpKGeoczHzz1qmfqklmUVLD7+evK7v/3w3XffPX36dH5+HpAnk0myvbiRCMRisb17e09/8fkXX5w6fPBIPB4XneTzedvjzYQvVziTRR5Qd2iIfuS5123o4++iucp5MDDXm/Cxu592OfsqVZUPrbOm/InOvxvgGGiD1KRoUTgPY4yILJG1lTCRSBw+cqSvr2/mxPGLFy/+27/924NHj+bmFgqFAmOYSCQAYGZmbnnh+tDQ0NOnTwEgFoulKioikRghMDuroG8xgOMYCgw+1GCkviCyfSr+dK07tEMfMW1Yc3Bo/VJmIzajcoikUxvAFjHCSiKzZMiH9fAHsMv7Dg+P/PGPf7x4/sLIyMjyyqJA1gsGwhiLRKiiouLAvv7PP//8yzNf9PX1RbQoAHDO87mCcNL6OA+U4sNbQ54O7a1AONqFKTuFkgY+f44hJ30H0Jo4art7qbUqx/wzU/RxZOaK8JZEZJqmSYSIVVVVJ0+e3D9wYGxs7McfvyfE589fLCwsiFRE6XSacz4+Pj43N/fkyZOhoaFoRDsYjcYSKVElycGUeSLNw+7ozoBvR1PERSFPoVyODhDpzRPbmNXpg6EPwE5Uzvt7N2+X7EhRZxgiZbXEwtijYiR/E3HGhGkFcrnMnTt3rl6+du3atecvni0uLRqmqeu6reARIrbtaj506ND+gf69e/fu3t1bW12naRHOuQhMg+KcVPAaW/+2qw4zUpV2smO7fF5T9GaJU79+T/5RAPDGi7mRXGW4EtGO1PW2DffDBHlQ0Agl/5RdSo6pXOZGDfjaSzATSLgnk9sW11hDzHEGo8YQNaisrunp2ROJxOoamu7du3Pnzp1Hjx4NDw+b3NI0zbJoeWXl2ZPnZsGam5l/8ODBqdOf7dmzR4sJ/zy3LMu2GQkTHhBZTpghOs+rvhSPJwoQkZMJAEgaAIDAH0lTE3PnUXGgC+MdE34j+/xb2QyvV6cpirNVFAhmfyOut9xprcZTrCFZyyJHgu/QhqkY9rN8UqyBAOB9KyG/Q3TN0nKErdWmhKYXRCiUvJfLJ/0/wPanefpEgToEDoAcJZ8gACFZkAMxSxRKEBHNmsYYcA4LC0s3rl67evnKjRs3nj9/vrg0b3FD03UisgyuR7V0Ot23d8+xY8f29Q/09vZ2dXVVVFQgopPqTrpTAWRFFftzE7hVAGCgObZ4H9bGsbzYGej81iLB6IQ/VrVB+D7LgC277NgQuSAIwK/Bh7YP2LvcB3FahtqSfC2L5a1wso+j4nqxiAAsZNJhjQCMoYaQTif11l2fnfqiqqbu/v379+7defLo0fDIiHDOc85zhjUzM3P37l0O9PTp888+/3x3X29dXa0GYJocOCLIuAzJA1HUkw5R633avIMb8wbhimGT+qaKYRNAOf5m+Kb6fRVzBQfPbv3ueofeHZUTa7aV5NUlinH4De9EQuVLuWu79Jfo249IUsw+Qr4IW4Oj+QNniMiIAEQ9MzdVpohUsixrcnL62pWrV69evXXr1vDIi9XVVdOyIrbhW4tG0lWV+/b2Hzt+ZO/evXt6dnd2tqdSKSKJM3JGLWEwUt4IA4FERDr/OpJCbB7cHYRnXlzTNiEnIkINADQRKcZtqencUSLrNaH/B8lxedjczJUmoRhVv6nI3oUxO/LLjtVizjzbexbvcyi/FatKyOpCG4cDanZXRZwpOCOZOQg1ZMjSlRXtesfZr75saGi4f//+w/v3Hz169Pr1a4uIMWZZlM1mpyYmb1y7bhaMYyceffbZJ1093TU1NRzAzJvupCg+aTkkj08LiXNkLChxADyiUBZntbdtPutS2Msp9q2hPZ0+VlCO/vaR0gdgJ3qvyIkRlfBCFBgQ1RtsmlYmkxkbG/vhhx/++O9/mp2dNawCIsZiMWFDRcR4PF5ZlT5y5MivfvXtgX37GxqaIpGIaZqcGwCKCcgmlZ+C+tt3ynuJ5CYBnhusKL8lFKqehrYkohK7+GJGIl/P6zKCCAaleU3dPmM555yIm6YJwJLpVP++gf7+/oMHD7a2tlam02RZM3NzHIhzIKLFxcXBwcEXL148efKEuKlpWnNzcyJVAQCMMaemtT1O27ao4NFUVJHPu2vzff+kAUAxP3o5xrvtTK7nn8RuhzuvV11IYS89ZEJ2oEAfMJGMYJVRNlvR5Zvw34ZTqK3CyUMUzBkpsTlMA9u7YBIYOWNxcfHZ4yd//Pf/+P777wXgkTEWj8dFSZREXK+qrm7vaPvqq69+/au/a29vTyQSiGhjiPyon/Wy02JVWoodRArXBItduOWERXCab/CO5HiPbXeBcNVyzrkFAJFYtGdPd1dPd1//3ra2llQiYVjW/Py8ZYk2nHM+MTH1+vVfnj9/bhiGZVkDAwPV1dWc8+CUya2g8oyoAJ9VU5FzxDfz610DO7RDO1SClK/pXe5UVSVcOo+9XhZH21Q14Xw+Pzs7O3j3/u9///urV69ms1mLuKZpImuqpmnJZLK6urqzs/Pn33z9s5/9rLW5JZFIAPBcLietFUVyeDsoEgG0VPcpPiqh+DlXEXJPogapVjuN2bowkh4OGbgw1NIUqquXT76340jn0K2TumdRrlLOcpGByEREJBaLxfbt27dnz57e3t6WlpZoNGoRraysiCqcnINlWSMjIyMjI8PDw5yblmX17u1Lp9PyFm6araIo7CCeqITvNihiinW7Q1tL2zyP9cb447vFhgVzV8vsZURk44Zc+wIx5JwzAk1jiGCafG5m/tq1a+fPn7979+7wyItCoQAAmqYRN/P5fCQWbWxs7O/b+8knn+zbt6+rq6u2tjYej4vPmys8jgtjNbfrZNk4PU+uYmFHF4wyYEFgxfckoSTaCwxRsapkpcnH1hWDWqAlWADAlXgip92aXKM4c1EjhD0oAH8yJiV7ETimGQAniZ+sEs1gcXH59ejYyxfPHz9+fO3GjZs3b46NjS2tLAMwXYvqmlZTW9u3d8/hwwdPnz596Mjhrp6eiB4xTItzzuyRoMJwAUDNWOR5ZLv+qCsnUPG6gKb+CcRkP8qc+3LOFWMOm+DLW6XxBGK2i+alVhtz23kTgjOCMNVkQ+xRiGr1yAeb86KYOrKJLrcqJ104Ecg8C0Xuu3YP9tOV8063EqtcDBvlyS0KFgj/p82RuLDmcASASIQhwnImPzo6eun8T5cuXhwcHBwfH88XCojIEE3TzBfM2trq/v7+Q4cPHDt2bGBv/65du9LptBP9BABgV/5yXjSzS0GCIjVcnRUBwqSJL87XxgDK/ANkVymWjy9V761RCV2veICQ/G/Wza9XvF7yxkhFEtnHZA5p3widCbfL/QADTdMQAFZWMpPjEy9fvnzy5MmNGzfu3bszNja2vLyqaZqmRQzDqKhIdXV1HTh08PPPPz96/MjAwABDZprc6QogRPrbd5EeXedt+vzk6se+pocmiGt4AyIGwr678nNaf9TxBduQtk7EbB657CefHgguVmIzq8jNZl0cA1V+7q21jwfn13kglQsRuUmqLSANkNsmZwfqHolonGBxcWl4eOTcDz9ev3H14cOHk1NTwvjCGDMMwzCM+vravXv3Hj5y8NiRo319fa2trfFkQtM0EkBVpa6oMhX2DxRIVde9TRKWI0SexHW6+yAlk7R8EOdMCK3jlQlLkG8h+nFA6JcmQd2jnBrQtlQKR6jZ2TPX46ohZ6WKgYqV4GYXEvsITUMEWFxcHB8ff/li5NGjR9evX33w4MHExMTq6qquRwHAsqyampru7u7DR4989tknR44d7d3TCwA5wySyqy0FavIUy05d7Ld7YfFAmdDVXpKBlMaThuwEg119DLSDJ3pLFFysjukdABBRBBxNTU09ffzs3Llzf/3rX5eXl7UIEzWziEjT9Wg0WltfNzAw8MmJk998801ra6vgqqbJEW1Unk3qR+UAkQBcsSCYJ2OMwhhmMQ+q0JXXjKf1X+Vi0UvxxGKG8HVRqGPT0bDRESll+z89ekDJEaoeFc7BAEilUnsH+nt6eg4dOdLc2hqNRu/duzc2NpbJ5CzLAmCLCws//fTT0NDQ8vJqLpdjjLW0tSFqbhWAoPcmoG977PFCiIc/CZP8Osz6FuoD2VJ6u24xkSCvaM7IIAVtTxtcijvujQ+duP3vu9MbiASSHBAsIhkdbAOLfEtXMBPL4vl8/tXLVzdvXv/rX/5y4cIF0zSFj1fYiWKxWGWVvmfPnlOnPzt16tTJ4ycqKiryecOyyLKMYukAEFGgYkVEQFAGFblEcWV6G6PjbHAE1rv+oMIMi1tDRZ3M3luTfZwxJn0GBKbJiSiRSHTv7unq6jpw4EBdXV00qsfj8VevxvL5vGWRpmnZbPbWrVsTExNLC4vZ7GoikWhpbmOMMS/aXyW0gxTIRvm7jt8AZq2Yl3jDc7JDO/RekE8bRDekZTPE3ramVIT8SCKbuMjFIDzQ9vMKB7VhWKurq8+fPbt+/fpf/vqnO3fuAIAmy/4yRNR1vaamqq+v77PPPvvi9OdHjx6Nx+MCn0JOVBRRKMv3WIsCmYA8L6K4rWGdU6CYfERvYJeu3yKZRBtaMsqmQHH9bojsaz2IUbC1CE6cc15RUVFRUdHTs6d/30BVVUU0Gn38+PH4+LgQMbquLy4uXrt2bWpqamlh3jCMZDxRW19HiKGgsFBYkLrBKepmCEtm9MboIzUJhdI2xBNtnkW+nRcc7oMK9Zg5SCJwXBBOri8bSZTLFV48H7527dr5n358+vTp9OyMaZpMk9iQbDZbUVFx8ODBo0eOHDlyZM+ePQ0NDfF4nHNOgQ2t8y0pmjcHANXf68nWbA/MsbsHra3emmVCfZToG0SZ+V/FE3nGo9jd7Wv9pCriTs3d8MVpW77BxhMJYlKf9ljWVbDMBhxT3u2BmhHZ3xUHUUgLAUQFMXk7xpjGGBEVCoXZ2elXL0cePnx4786dixcuP3z4sGCZomU8Hq+vr+/r33vs+PHTp0+f/uLzyopKYY9HWenMZd8hhY3JTkZun/K5dtGpmMZc7wEqKCSBtWF+CO6Gnb2hOVm494jacr2IjBC8nttesYV5BRUPPFFIJqZNskSlqzLjn99j2jZ4omKoQwAvBsdrmyjf6+tpaX+MPjtRae9T+L1C5EVwzIE2sqUwSZOHVSpvhDlSJqYjAMzNLdy7d+/ypUsXL1588eLF/PwsJ3TsDohaR8euM1+cOnr0aF9fX1tbW01Vra7rhmWqI3H9jajwE7FnYIhKFTBUKhP7PgrxVYZo9m/MJOSztjtH7BECuDKOKcfLwZiUu4qK5ScSp4K1k1VkrnMvQiBCi0izUWPCA4QAhUJhbmZ2ZGTk8YOHd+/dvnDhwvCLEc65Bcg5j8Ui1dXVu3fvPnLs6NmzX5z64nQ6lTa4hdzFKAncsfxpawKqquCKFfHagRhjSJwx5gAPQjdpwXUuj78RPFHgLjLPiCA/hiKsRuEObRfaahFTvnwJ96UVa13i6y45EvUuHrNLoGWxsRVDw5Vc1Z4Psqhskgl3iGTtXfWsvZER10YiCADjY1N37ty5cP7cjRs3Xr16tbi8xBgT2WfE9mL37u5Tp04dPnRIwIiqqqqQMcuybAyLe2tE5AjMSZ/qYFcVJJFwWgs8URCv6slrg+F7k2Kk9qby4TUXXgmkarH2wTuudYkrI4jIVgE8ezFBXnSbSkURN8745UFiRKRpUovO5XIz09MvX754eP/B7du3r1258urVKy7hDiwWi9XV1fT19R07duzLr786+eknejTKDaXGaBHUqjqr6v7Uh00u8TtM0wh5OuVC9WBpzl8Mc/QRyYsdPNGbJZ9rVzVbCB+sxpBzyuVyL4eHr1+/fv7C+StXrmRy2Xg8HolEBLuMRCJVVVUdHR2nTp365OTJ/v7+ysp0oWCKONLgRxDUiUsMz2dQcEqYlSDVAr7lll2509ioW8bHRIpNRSk7VElyZszvSpIHXcSsaMA5tyxLY0zX9fb29vb29s7Ozl2trboWjUQiExMTC8tLpmkahjE8PDI/vzgzM5PNZtOpRO/evlQqpUfjwTdczOZFJDK+ckTy5V4p4qFRiW2FK6wYhVqInCMbNw2XsCRCyHtnACXC0zzdhr7lNam4kWiHti+t10NlZ0V4l4qCoqavgXBkDAzDWllZuX///oXz50VEs2UZ8Xjc4oCI0Wg0nU7X19cfPnz4m2++OXhwf01Nna7rhmHljQKiJ9jLYyQS6jcn8Ysh45xvNjLr3aGH3hxoqDTZuZ9t41oZzMfxqEuvL+eIqOt6666W1taWtra2xqZ6znksmpienl5aXbEsq1AoTExMLC4uTk1NGUY+nU737NldUVERjcSZ3MhJ8ggO+6fP24zKbs0+WxSdBO/sle7QDm0ZvRWf+nrhJVuiZpQSZF57UAgJK0w+by0uLt65c+f8Tz9dvHjh6dOnqEEsluCcA2IkEkmlUvX19ceOH/n5N18P7N1XU1Oj63qhUCDL8qNLAADAAmIcmB7CVdYlrFV/OQMsw1QkptStaKxWZ/aMs0jgAoAs6F7m8GQ/Zbx2u08XB6DmW9iYyhpyC3S5vXwcLm090Wi0q6ujra2traW1rq4OOE8kEtPT0yuZjGma+Xz21auVhYWFyclJAIgnYx0dXel0WteicmBFbloMT+T8XrNBaFdvjN4pkPxd0DbEEwnazpmJyokWVtgrMu4UJxbrmDEA4JzrOgOApaWVWzduX71y6dq1a69evVxeXeGc63rU4hyIGGMNTfVnzpz59OQnPT09jY3N6XRaYxFRcSY4NvcjQY6Iau6hoA1F/QgdHur3/YpdN6IvYYRA0AgEioon8kyC/NcFq4sZEIghb/WBsJn2ySclWors7BvOONd8976l7pkNAkS0FObuexZyMLFhHhhfzxxc46DcVhEAgLDK5/P5pYXFiYmJx48f/+VPf7p8+fLr169XV1dRi0Sj0WQy2dzasn9g39c//+pXv/675uZmS+AFTAuZ69VxtXYUMQh+fJDPCRN8akQUtR4YAaB0KGsuAE0ptR2gshlx6JfCw3772hS7VpIdj+3K8tJDCrrCVO2hdOPS5Nk7rcMH+IHQNsETCbSmisFZC7kQ9AsFETzBURWzPwb7VKn8nBHlkuR+dmYBhyeIha2mKY5qDADGX0/8dO7C5SsXb926NTk5vrq6CsCQsVyuEIlozc3N+w8M/Oyrrw8dOtTc3FxZWRmJxBhjpmlyIkQNbXw7gJt8i6lofPtr8ittXq+g8+zFcpQGiXtlh3o80PP6yMYTAYT5XVUPLZHI2oDoxfgE81BgkWx6ap8soHQVG4OKXQ36w6ULihMiygxHxHRNI6JCobA4Pzc+Pv7g3oM//elPt2/fnp6ZzORyuq5rWiQWizU1NfX17fnFL7/99ttvGpqadV0njqZpIiMiyyloJCBpbp5XW9bIojxIqv+WiBhjPr9uSbt5ODJX3mrdPKRYTiIAL38Qx9XqTjs2rO1MWy1iNoUnCh2PaktdD0cqqiGo/DZwtnRWnSKSpZhQLHJSIolIFthxvN2qZGEkpyIS0RDg2bOhcz+ev3rlyv3792ZmZrL5HDKGiIVCIRaLNTQ0HDp48OuvvxwYGGhqaqqoqBJecEV30pTfMqcq2Jq5fUuEAK4H0a2n6dvg+B/S/f5d2SF0dU0p9uxLgSf2JpvMi2dnF3XfTpg1hwOUwLSWfS9FRvgyxpZwMPv2X44uoSq33AJE1DXNsqx8Pj8/Pz8+9vrOrRt/+tOfHjwYnJqdMQqWruu6rsfj8ZaWloGBgV//w99/+eWX1bU1ET1SsDhZhtN/2MgBADTb+wT27lLVIuzXKjONgo0M4kIH8cplZ3sbvJfTj5ynEtNZlD5Afb4Y7eCJ3iDZpmVAJQ+xY6DRdWaafGlp6eGDBxfOn79+/frTp49zuYzM6AYQiUQq0umGhrq+/r1nzpw5evhIZWW1ruumKZFETjYKlWn67m43KDo8cLR8O08nB8DSG+/1u3xVU5G8Y3ldlPjUN0O+pxN/6kyzwnI1lX93r/VN2DLcXZxpmgAQjUYbm5uaW1t2dbQD57quDw4OjoyMrK5kc0ZhcXExk8nMTE1zzisrKw8ePtTS0hJLJBgTnYePXx0nKquihAGFSKmz4OQtcg5sccJWULhqOaai9dF6tcYS7de70ooYiXbog6Vt9aKJCJwgL+/HzhhDhHzemJubu3b1xg8//HD3zq3R0VGTG7FYTMB+amqqmpqa+gf6Tpw4cebMme7uboF/BADTNElhv8TsZKVOfZlAiASSqN/5VmdgwyQfzWMZLMqOyMFtoefgBhbDppy9Xr6MiMjUsptgmCZDjMdj8Zbmppbm+vpGwzBi8cjDhw/Hxsez2axhWJlMZmhoaHJyUtf1dDJ14NDB1l1tiUSCaRgcGnod3WJDQVyINUIv9HLDz/Uu6KPzCe/QlpDDaYPOp63qv+T5II/a+mVsh5sBlHwu4fjMZHIz09OXL1/+8ccfHz54MDHxGjWmRyKcc8ZYTU1NS0tLX1/fyRPHvvjiCyenqmVZPLzKFXd2FxhIQgRQVsRDCBW/wr8XWHfXZdy8vGCoN03r2sh41zknYsiAOBiGgYjJZDKVSra1tdXU1BQKhVQq8ejRo4npqVy2YJrm6urqsydPpqamkslkLBYbGBhobmnTY1HNBq6WMUhx59K5ipRLxDjDFswObZ62IZ5oM/vG8vOebIzKiv51sSSARBLfIVAhTu53xhgDnJmZ+/Of/nr1ypWHDx9OTU0VzDwRaZpmGAYnamho2Nvfe/bs2U9OnGxoaEqmUrquM5GPmdycQSQLmXmQRPL/XkuQ+q6DFqUSdUzA9jAgAdoZ3HweXSJPhQLvtW5Ltx83z1EpKi2MtypaNPi8Yh8lfeZkge2BDAU9EpHtsZQ+AT/+iEv/v/A4CR+IWTBWV7Mjwy8u/PTT+fPnLl26Mjk5GYnFhNe3urq6s7vr21/94re//W1nZ2ckFkNEq2AByBpGjBgAL1b7zHb5CgugQISJHA2uJx8ZuWcBEIFEbTUADRA35exd71dcOrrenxlKHUCxVe2jMg06qgpYvo2ybO/Eh0bbBE9kkx9vGFwnIRXZ5aEg2ijkPfq8gl5Sk1u/qTXgPIXAjwj3g+8TEMwgwhAAXgwN/+H3/3bt6tVnz57Nzc0YhgEMkbFMJhOPx48fO/bppydPnjzZ29tbVVUTi8UkIskC8PnJJahUk4IGuePXVfmhk+tafjsepAzY8xOCJyrp8A6ZhGJyagOkelMRHONRaXSY4hn2+rchwJGC3lr3bACXZF9igetVlmedTnx5i4hIHOHgyAVh3yHDMFaXV548efTjjz9eunzh5o3bCwtLyWQSAHRdT6fTHR27fvl3v/rlL3/ZvbunIl1hcUs4M9Au+0CyTLQHuSkXgB97q2YSYYjCbCjqaFMxDrl1eKIglUB0loiD3qHtRW8GT1Qs28g6NMpNb51C7qU8F/e2ZOUMaR250sTtgh8CAQH5kKrgyB2GRMRsZIqIh7h7d/Bff/9vt2/fHnrxbHl52bIsodtns9nKyspjx459cvL4iRMnenr2VFRURCIRcNF8nIhUWSCRREI19fJVYR4ihZkguvgR57fSFfpkigrF9Gv7YUgi58G3AE8Uol0ArIUb8uJV/b/tHjYyHiSP1Asqvc5xMeECA8udZFUAAKICEhby+YWFhUcP7p8/d+7CpUt37tzJZrOJRIKIIpFYZWVlT0/Pb377D1/97Ov29vZUMmWYhmXKG3HOg5EuwgkhDvowRGBrDrZ2IRLBulJS7Wr9eKINZqv8GGgHT/QGKdw7B8CYli/kpydn7t69e+nixTt37szMzBimGYlqAMA5T6fT9Q0NfX19hw4f+OSTT/r7BgDAMEW+MAVN7YbPuEqbsLOG2jJ8wwj+LouKqbzFo0/fIwq6iYINxI/ytQTfNoEkphP0aKQxlaqsrNQQY7EIY/q9e/emZmay2SznMDExMTs/F4/HK9MVx0+e6O3tTaVSjOlEROTsSAGIkeKBgTKQRMXGJlIYlbD3vV3aCBcu8dTlzImD/FrXTXc8GNuQfO96S9whJV/0u9l5BockBIKOkMnkXo+NXbp06aeffnr65MnS0hLnphbRAUDX9Y6Ojq7O9s8///zkyZMDAwN1dXWGYQkkERH5nsI2EqFjJHLvzpDCbCVvh7bkjohIoObCh60FOSJuMN2ez7qERUCeQgMgIua8Hs6FkInFYslkPJk8AgCxWIyh/uzZ0NzcXKFQME1zcnJyfn4+mU7FYrFMZqWvf28qVaFpGudcNRIFH4rAQliHiNnAs79h2hoc6w7t0Nsibi/aNyRfuJ3f3d3DhxpNwPYNMIZLSysjIyMXL1y4ePHiy5cvVzPLBBDRdcF5Wlpaenp6Pv300+PHjvT391dXV+fzhty/oNubakRGZKp8ce/rtFfcEusilQcVVRFDD26Ue29nIiw1IUFrlPPeyS64CSKYDrREMplOJ5PJJCJqkQhj7MWLF4uLi5ZlGUZ+bGxsaWmpqqpK07TjJ4/19OyJx+OaFvGJGNVEhSgyk3vOFtPei7tgdmgr6QOwE62dzeRN3jecVCSRWN8aSos1ACDA3Mz87//3Hy5cuPDy5YvFxUVA1KMRZFAoFABYb1/nqVOfnTx5sn/v3oqKikKh4H4t4gbSBc4RGUcgkXUNOQAwhkiIgMCUT0v4GJ1aVwQCNy6Gx5CVYIXOCYEk8vwJ6+agpXkut/Vd11fgbYDo5OIBItBQrWDlWuXLZx7C6syRCKTVXEyamn3DwUHKPwN2d+FgBQBExjl3UFcCVeT8BgBS4jU457m8AQB7+vdW19Z2dnb/9NNPv//dvw4PD6OOuq5ryO7evjM9OTU+Pv6b3/xmz56e6to6zomZYhvguIAQZKY9/7dgD1X5OpTfXHqJXaANs3cdm6ZiX2XQEl/sdziFboyLtPX7CtCzYItmH3DElXeHE+5D2DESbQdSPYfit1rE3WMiD8Ejllh1qH4dAR8vFF/nG6cgskYdstSYOYIXCyyUeg0Q7AycoyNj//T//LerV6+OjY2tZleYjozrAp6dSqXOnjn9s5/9bPfu3Q0NTbFYLJvNA2ru/hntXqVeLryZwhthfyDyG2FOS2cwAa/4OmXxWuCiTfKo4HeNEqtogf1otgSRiCHH1+Kp+6kggOzOCACQ+Uen5iRSsUsYRJ46V/i7cHuQWSdQ5mgjIkYoQaYAgFxksgMAi4PFLT0aOXz0SGNzU2dn9/fff/+XP/5pMpOLx/V4PM4Y3Ll1d3pyam522jCMgf376uvqTbEHIIa2r0tIbVmhFbhjJJLbBoEj48x+Z7aBTMU9iXXryRP0pqk0RlWlnRi0j5PW5t4lWNGaPsUyyWWwwAMK73r5Z8mWIQ/jae9CbgkRNM/TaYwINKFPMkIEBvj0yZN/+qd/unPnzuTkZMHI6boOAMKOUFNb9c0vfvbFqdNdXV21dQ16JJrNmaS4ExRvhHRz2pKGB+dU8lvbXSFZCtmVzqjUPiR4JjgNpQPZcKOeU1VeeO7mUqn3W9rxvjG3vItscsRQQIopOVgJiYn9i206lFHnAs5sIRFxy6BkMnnik5NNTU1dXV3f/fWv3/3th+X8ItP1RCJGRBcvXpyYeL2wsGCcLfT391dW1xiGZSsamjMiWZXS3qFIj7VQyDkh0+xRgdzvCrwbc8cvQ1TW8bKKocIh8Jo+agHxAdiJth2pGqT9pwT+IEA2mx9+8eLmzZsXL1588GAwl8tZxHUtSsA5x4aGhq6urmPHjp08eXLv3r3NTQ2WRYZhBAUSIsnc08CcPYxrkS3pxxMMQbE9+Vt6kgltBW11f2vHTpdJQaPAJvYgvNhwXD+Ms5sVeQE5R8R0Oh2LxeLxOGpaIW9eu3ljaGhImOTn5uZWVlYqz1fGItHMmVP7DxxKV1boOrMsACTia2QgclZCqHmFAu3figq/rRmu+gWVDy7boQ+OmKpJbqsXTU6uHC8JazVjsLy8+uzp0yuXLl+9evXZsyeGYVjEGdN1TUukkrt27RoY2Hv27Nkjhw7X1NVGIjHLshyYatE1j9yxC4Te1/ldcuxCN+QA5eax3nIqKRa14KbRxeaKTY69OQFFgG7xCG1F1xNrUGTYrthSpLjQQFBWQ+O6FolGox0dXboeBQDTNO/duz86OpLL5YhoYWEhl8tdungFEU3T3Hdgf2VldSQS4SaJWkXg6dYHAVBAAepgVCifeIotmJgtpFAHxrYWTDu0Q2+UXCNRWCQEERAJvA8AwuL8wuPHT3/68dzN6zdGR0c5kGVZjDE7mrVj34GBU6dOHTx4sLKyWo9ETNN0MrSqJDRi53g5MQno3Vtt+HnLpw0imLYjjnLj5IJ6SOSn1aTzgHPkpEci8XhU390TiUS4aRLHhw8fvh4fzRuGZRlzcyumaVZU/GSapmVZfX39qYq0rkdN0/RhhcIlCBFDxtcTJ7Eh8oFM+ZvwAr6n9AHYid5OrGC5d+EEwcAd20YEQDA1OfmH3/3+hx9+mJyeyhsF1JhGBMgRIBrTDx7a//d/9+v+/n0NjY2xWCKXE2WJ7ewAdm+K/1bTxAlVeQ14XEUyCVRRRW5XjgHZwSqFAIVKP3/wLHp+ux3aWYpItvFafyVSqDQpiBiv+Ulzei6H1NwWEvVThGTW/TX6c5BNrkFaNdMQEYKmAXAwlfEDEGVzBQSoqqk+fvJEZ2fn7h92/7f/9t+ePn2az+cjMV3X9MHBwampidXVVaZp/f39dQ2NRJbMZQ7C6C4iyRVuS8K8Lq2HPkaMoBEBogUAbtUzgRFYDxpr/RQMsy8fCbilvrWw3sKtaWtk0NiRIu+esGT1It+e1iFCN7+Ml9ZYFWtR6MIrtXo9IPDAWdWyHMqlEFEDECgPzvHVyMj/+Od/uXjx4uzstGVZTNfIAgAeS6RaW1t//vOvv/322+bm5ng8TkSGkVdRHtx2NyAiMUZ2jjaRuFhDhnZCJ5t1cke7LwsXE3jqkAdCTxtSBBM6RzfEozi4pvBgPgsAkEKELMXL6rTgQHI+uB0AgaG5hIrcF21Lk+P4lL5Zb74h8M9hOCJGzWch+pc5QlFKeSJCYAAoMf6ILS0tX5w9s2vXrr/85S9/+N+/e/36Nec8Ho/ruj44+GBmZkbEox0+eqShockyTWEBcgcikiwiY0yIG6UmkWe0EmVGtjtKVqRxZkYCAwLTtG4KGndKZ7iDwO81+4cd+9GHTmtnJrKhgJ5N7CYMAYoGG6JFFMO+rXcdBnrA0J/+q4gweJ4R2Qo754b15MmT//v/93/funVncXGeiJjGiAg1iCdju9rbf/33f3/2zOna2tpYLMEtKJCJ7oaEEQGAZe9WwHY0cJBwe3sjI5u7LF8lNSdRWL3IUrhFCvzGkD/KoJLtvQUHyMEWgRyf2NNpAB4eG4Y/Cu9TpfKrfwZrTBe7o1gGql2G2/dngBw5IjCOAEDITatgmkzTo7s62n9e8W1Xz55//8O//vFP/z4zM2NynkwmOdC1GzdnZmYsyzJNc//BQzXViYJlIqmeBoYAloi/EaLGfleiFDURSQQuysxWYmdtx20Ah/VakXiRT0zJ7OFv/zHSB2An2naE3pLiNtfDXDb74MGjq5evXL16dXh42OQCNy5qn2mtrc37Dx745JMTBw8ebGxsjsZiAMwyC16UhxOlHLypy2HBtk0Ed7nqR4QeH6Sfin1AobThcP8gmknJJFryqi2y1q/XPl3SHS33DEXPqjYj5REEwDISiVRXV6dSqc8Kn+dyucuXL8vEVYa1urpqGPlLly4Bo3w+f+jQoYqqal3XnXwiTBbUCyYqCn/GN2mV3ypStZytTyexyRkofe37ML07VBZtkZFosxSKHlJraCICIiwvZ+4PDl6+eOnmzZujoyMAYBEHDpFIpKqqqq+v/8SJE5999ll3d3csFrMsi4i4h2f4w2nVlYyIPq5MRBiAF5UkBsBhXcWj1dttPc4VQOGTDiFqQU6uvgLbUCIaIxGJuDBav89TPNSa7o3SIs85G0SJOoNHxvRotK6uLhqN5nI5sPj169cfPXq0uLJsWVYulxsfH7986aplEmNs/8EDVVU1kUhMAAHAuzAU9JnQ7z1+CPkD3Vv7v6Ite4fr8hl8pCr+Dm0JvYEKsNuRiuV7EV8wYzA/t3Dr1q2L5y/dv3tvYmICkSziSDwajdbUVe/bt+/4sZMnTpxob+/UNM0yibxuc5U9+vYsoTelwBE3TIm2Uhy8EWTo29IDQ6VD2O6v3H2Tj5kLYoqcYoDCKOOIPCLSNE1PxBuijZFILJPJ6BF2/fr1p8+fZ7NZwzDy+fyrV68u/HTeNAuIWl//3op0lajfLfoUBfL8zvWwCVSfwruNKufhfLSDJF2btomdaL0i/O2/17Uzojv4b/LlASUEANO0Jiam/vQff/zjH/84Pz9PKDNocKJoNFZdU3n0+LH//J/+j56enkQixRjjlkVk2kgiGz2EBEQCEESkFBxhLKiMAYCjuWrO5Z4BOz5Tch4AbVet8wDoucRP6AKFPPlB1Pao/KtAoiQ5ddBAuljXYGQi51OxFeAYyMCb7QgcKI0wTRERFpX9iDJKWrW4y/69eyo/I1bqwgTboIg/J+GHJUQRYEvCoWAYFgAAw97e3l2tbe3t7Zzze/fuTU9Px2IRXdfFb8ZYLBbbu3dvbX0D2pXOOHHnpmqmEuLC7SLCEAjRLu6EXBa6FPkmEDlxxkSZAWDCi7/Br6yYXy4U0hnaMvRIOeAg8O4HSn+zIRY9n1jyvlwFsbKW7N8xEr11Ksvz7/MDI5WSO4GaXKGNy7ivZHmlpMaaywURZWYBjjYwBZTiYsA5cc7HRkf/8Lvf//jjj0tLS4zpwJAsi4gqK6v37On9+uuvf/WrX9XU1ABAoWCKKwlQ1bYRbXMDcUbMYfCSSzOFOzNkKM0lrl8XZS0Vhwk7fsugAQOL/Pa1CdkMSO4O5WMPSR6RPht5TDRiLHh/kffHzp2hWoUcCeaYZqSHABGdcvGOSctxwPr8ySrJKtRilkRkm+In58LfTo6YDSEBTxJnNUTOOQEDJfkoARDnwq+QSCSOnTje1dXV0FiXza0+f/Eik8nEElHU2P37D+fnF6PRKAAcPHykvj7mgF/9KrvAkXHGGONgISICA+CoMblMAW0smpiIt6OzhSKJfM6GzSNSd3BGHwatjWVWtAH7iGo3d06Gb7+DurOKJFLzrajrdqsMmir3Cx8TKBtysnNoOgVwBcaHAwMAxoBzMvLms2dD//tf/tf169czmYymISIjDgz1mtra/r7eb7/5xZdffp1KpSzLIo6E/mRtNhsR4oFL/wa4yCKwJUXIHkHFv6C7a/Da2f1PXXr/4k6Lz5MaNleBa0qdZAr+FYS2D0hkO0k8wg+Vwa1t2QmRpEo8hFsf05sRTz0SJF89NbEzQkR7v+WueacTgSoCJ/E5Q5M4FggA0un056dPdXd3pisrc7ncq7Exc3UlkYgZlnnz9q3l5eVoNA4A+w8eqIrVFCzT6VAigxABRao/JCUfomxlTx8HCwAYISJyuc8p31JUzlcWijT0faQfhRTYJnai95tcH5oLUHUSEiEAGAXzzp07F89fuHH12uTkJOccNUZEjLF4PN7R3fXZJydOnjzZ3d1dU1MjfHUhn7RII2rr8eqep4Td2mlZPmEoP6WibDG8fRHavE+49HfplS4Aaz17MXN16GWkPCrapFagU7tVX01pVzB47UqJRCKRSBw9erRQKDTU1V24dGliYiKTyRiGMTU1deGni5ZlWZZ18ODBZLpC1A6QlyPnRIC643UJdQv4HtwxnxUb4ZuhLbTiF4spKG0FCDGqbtF4dmibUvn+vUCzdwxGEL4y1YPqmA6Epm0UCjdv3rx4/sLt27dnJqcAgBBMw4zFYrW1tQcOHDh9+vTRo0fr6+v1SLRQMFDGyTLP3l+RFcIIhViKuyuIcY9n2CeetjeFGIlUEjYW3xFEz6O5tiHXJSD7DKKnSrs9g26ScqzSjkMIvKJE9cqK4+K1pqLRWCz2+ekzhPjjjz/evn17aWmpUCgYeXNqaurChQumaep6dGD/vop0VSQSMQyj1PwgEBEnLrR6Yb0s8amVaRvdOtrxGO/QO6EQpbkESuLNUQkm7h+JbSQS37WzhUGA5eXlm1evXTx/4cGDB7Ozs6hrRGQRj8fjDY3Nhw8fPPX550eOHKqtrQUAo2CFdK6ozeuSxSGoInXI69h/lKI3xJdcCSLEIjkHfehddwzeawMdYtHAtDdKvspCwnuh7m7EvgkRdV2Px+N6R/vXX38dj8fPnTs3ODi4vLpiGEahUBgdHT33w4+GkY9Go3v6euPJtKZpIo1GKUtWQK6pp9aJa94MsY9QoGwrO9F76aVxdET1oLsJB+ImTbwe/+n77373u9/Nzy0yxhhjwJBznkwmG5sbTh4/+p/+8bfd3d0AzDAsxUssMw1xRALQQEM1IwAiB39WURUPL49AOGxG1kwJZEaQtw4+Z6hP18tbiyGJPPyXE6BrvlHZpW8OKdhpGaSik/wDdm6K7h8ILv7L5/cmDJk3dKQWyYs9jLKY51yNC1DjF8RbkBKCAAAsnrfyALCro72puaGiMpXPZ2/evPny1RgiImp37txZWFioqKhIpVI9PT2V1TVAbpkMRAROiECo+GoASPilARi5nhm7chyCXf9O5B/ZClkZ9OuWzkmkHi8/e5zac4n2oSzFc3BdxjJv4/eMX31AVAovFnyhjlEj0IOHwtbAepeWr8cNn7RvL5g0BwAUPjQgCSAVSCLi/PXo2F///Je//unPS0tLmibrGOoAtbW1+/cPnD37xS9+8Yvq6tpCoaBGqznYGACQZTK9MQIAMmdECU3dkVO+I+6fRXn425P4GMhYQWtpe4gIgMpCkqmLwLuK1NxDgq/aslUgFpmzWbTBNf7wPTmeoKyhkLNOkiP7pCiewHzr1q5tSkScMY1zLuqiCuQpNzgRDezf19LWGo1GV1dXnz17Nj8/zxLMIvPu3cGVlZWqqipd1/v3DVRWV6NFQkw68wAUtK9xAAQuEyTJWUISeZTKz6DxZqgcaVL+atzh+e8vFXt3Zb3TMjQE3yry7Qs0cJXf8nNmrW+9+XRvVP4s1p4EU7K5DNlZLIFAZ2Ca3ODG6PCLP/7h3y5evJjJZLRohDFmcksDaGhoOHRw/9dffXXmzJlUKpXPGYgIzOMqcCSOkDJCqkh+gv5n9/p6/dJD3dGUE7Hr6bnkkWK/N0Pe+OXgW9Z893IwNS7Ml0IMYT5hEczTJBL6CH6rzmCw3lmJbu1H8AZmk3sclB0Nk1tJIiJOZBUKyPRjJ062t7cjYia78mLo5fziQjKZzuZz12/eyOfztbX1TNd6e3ujyQpOjOwyFwSApLkPo4wNAQTAQnG3iGx9fu69UVNsMYzhm82Dsc1pW9mJ3svZR2+GHcXqKTRCGrx779z3P1y5fG12dtYyCXXNsEyd6RUVFT09PV+cPX38+PG2trZkMiljAQJ+b8lkvV+2k7LLByxyRyU6CeOibyLLQ5nkwzc5vtA1gT/uJQpP3HzLYgZs6UdR/MbBXUVpb3modxeUV+O+Mq9Ln4iAIdO1hJ48fPgwckqn09//+NPExEQ2my8UChMTE9/99ft8LvcPv/lN/779kUhE1CJVe0D0hPv60EPqvk4dWKmZ2pakfm5FqFwdq8xJeH/n6qOioIUIAp9k8OA6jURvg8T2PJDwzvl4gYhu3rx5/txPd27empubEw9SsMxEIlFXV3fg0P6vvvrq0KFDVVVVus44170cye0z1EiEDvC7BJ9c68iHRD7wTtDXDQ6a2OuxUDlwKfzvWjsfx5nsejoAnKhzZxlz+y6ISNyzth09W4/oNTU1p059oev6X/7ylytXrqysrBQMwzSsycnpv/3t+1whH0vEe3t7Y7GYpmkibE2VXI6sUfsHTogaoQyFRinjEAKKzbugHRPPDm09FYFCBKJf3+H6D8E2ec/7RYw4SABoFApXrlw6f+6nhw8fLi4uEkMAKJhGMplsamo6evTo2bNn9+3bl06nEYVfG1W+55W/Hl6EiBjwbTtXSR5L3s2Oa+h4DwSN5/El6nYLYLZrAlokgMB7n9JQ1mLk+pvJL0dAkQJOY1U46hG9tr7uq6++SiRjf/rTn+7eGVxezRiGYVnWyMjIn//4p3w+m0gkOtq7otEooitiJOqK25Hcyk39K4rc476H3fS3VmKa30tjxYZpm9iJNhA6/hYomOMAIMBsxbcnFpSzfEVcvmmY09PTVy9d/td//depqSmGOtc5akxHPZ1Od3R2Hj9x4pe//OXu3buNvJnLFdRdvdjJo2p3l1mKUH6KYjCKFcBJSOqxH6k2CNt9DF4G4otNDT4j+BlOODkeDF8Pnt9h+woiCtZ8Ue+r+iGLqdGq9qxmfBBUbHlRIG+CjIJ2+rQVXOZtEPoUPrt+CVMRkExfiojEOUPkMrsQAQJxns/nkaC1rb2+vt4kvrS0cuvWLYEqMgzjxo0bKysrba3t6XS6pa01kUgBAJCsRIMimwkiyOxMDjOVOCMkhoDAuJwr29kjExPhZj7G0jkdilEJ3xrzHi/tDyx27dpUplB51/ucHQLvay33FZd+cet/rVspqorpNAKrQtxtI3y8ACCQRKZJkxMTF346/x//+m9zc3Og6aKXCMPa2toDB/adOnXqzJkzDQ0N+Xw+n88jIgqOh5rN24AJH6/c7jtJi8WQyM5t5+ZWcLEtjrpP/iPFaSPvzp0P96pwNJktfdbuOZB/KpRY4IGYIz9tQSzmE8HWAQS+mAUQTPZ9S+UqAllmJiQ1nqeVe1w8aZGNlhSfRJxriAJMBCgTUefzBSLaO9Df0NCQy+UWFhYEqkhLRLL53M2bN02z0NbWFo9GdnV0JpNJIBa6H5a6u5R6DACJLDu5NeMo7IyWY9gq5+1sNW0tSqhYVbUdel+oVHWzres/2DMPTST65ghDfnnI4VdcZKsMWBZMg4+9Gv3hux+/++671aVlFtEBgBCioDU2Nh46dOD06c9PnTpVUVGRy0skEXj9CojEmFAxiQt3hJ2Dxmc0QUfWeM1ADFzIapAlOrt59EZObA9FLShB1vaJk5raCF3u7jwggzW84KEYXvTW1gydSXAkisvP/RFnTm8iiRAAICCXuVYBgET9ZSLK5fLI8PDRI/UNtcvLy5nV3PPnz+cXjUgksry8evnyZWTU2tqqM62tfVcsFuOcy7gZkP5sEvsVkghZmQMR7LF5rZ9OhsQyqMyvvrSp6GOhbWIngvfUPqcqfEF+9+zJ07/97fsrF6/Mzs6bpkkMLeI6sMrKyj179nz9s5+dOHGiubmZMaZpms/pHfzhmAAgYG4Xh7TAfiO4/Qj1f75zUp40cEr8L+jrKNJSTmPg7JrLK9RKDTZr9hnRfeqy81LQuwyCjZ3frkHHDgMRR/zBd0TRSPzYsWO6Fo0lEpnvfpiZmcnns6ZpTrx+/bvf/W5hafEf/9Nvdu/uFUq5fxWRB1Xk9CnH+e69u2vSGry45PjL4uMhasrG77hD25F8i9/5KrfJq9yAd1F4+DQN79y+9+P3P1y9enVmfs4wDQBmmmY0Fmtoqj+4f98vfvGLA4cOVlZWEqFQWFXLtc21ZD57UjyHDptSJYjgioh+Py4F8hM5+JEPldCBwYadCh70C2I7t2soekjOcAlbkt1n8HbuKwBijDm5Sx2FIRRMl66s+Oqrr1Kp1O9///tr165lMjnDMrllvXr16nf/63+vLC3/43/6baI9IT4ZIVBcsJICZHZWFwNw8o+uOTnbgD4ijX+H3gSFsQJ/YLvqvt0+FOTVzlAZAyC8cvnK+R/P3b11e2FhQTymya1EItHU1HTkyJGf/eyrgYGBRCLh25uIruwjrv9bxR6qOxqH3FkKJNAghWF6rUgfOKn7I8dqpE6b8zvUie4X4vb2CB2neMmsQCVWrOddk3QmOWedLCiEUFNb/+2331ZV1vzud7+7c+9uLpczDBOAP3n87H/9z/+ZWcn+3d//ur6xgTGGJGEQBKB6QVRB5kOruVpNUDPZZp/be0rbx04USkGr/NvkCcF7+Vm/kjXA5YwIaFm0OL9w5+adv/7pz6Ojry3LQkSmaaixdDrd09N1/PjRs2dO9/X1FQpmIWfYmxbu9qFyB+DSpKqaeXzs1TZnCJSe7XK1fZMK1kbaU+yrSlCxk6W/vI19l8WusvMNKcaXoIUoMFAfrsexwRcjGfOs/C7WvzNvDJlF3HcvlYqhikQFZSEFORAwRAUvAMpCIsK8UUCCXe2d1TU1C4tzs7Ozd+/eHR8fR8SV5cyVS5dM0+zp6UmnK6uqqmIxxh3cpiUWi7s38OyWBWrAM+t2ZR+grfP3lmOJLydvkUpFPXXKcV6y5cappNT5uCogvFPa1JstQ1/f2mwma/bjQDD9uBiVVGWRCDinudnZa1eu/vnPf5yYmLAsCxgyhhqy6prKffv6T376yYlPTra2tuZyBRtJhEBM+tyQiKQFmQAAuajV6FcoA6o/+PghKvajwFDDJIiYt2Ctn3KodNYzAL8cKaf/0jnRwq8NCZQoOgZ/Y+cPCZK1xZMch6Pxu6qF50+3H0fZB/9EExHzafC2Eh80GOULBQDYO9BfWV01MzOztLQ0NDQ0Pz/PotrCwsKVK1d0Xe/Zs1uLsLq6Bj0a5SQhqIjARCfEZDok4PJZRMomImC+cb99DM6WfKHr6CeIp96h94FKIYzWY8r3XSvxCIgEQN4aZ6V7KLnqlEW2mfVG4HIcFUnEEDgny6TXr19fOn/hr3/96/zCLABnTAOGEWL19fUH9u3/9OQnx4+frKmpyeVy3JK2aVCkBhNbFoFhlwfljRFlxj15SxfHao9Ntau7/mIKzUBaZjIK9SrPPijw+02SQPGHo00d8tk4iskX9XexSAsb3xpyNyfXatEtEkMquU9EFDnphNBhlqzsJpBiHBCIs3w+z3Tt0OGjqWTFxMREJpMbHh5eshYY02enp386dyGZTHb1dPbj/qqaGoGZsG/IOcrazQKjJMPpmP3wYpY4AZO4J+chi0XGrEW+8IUdAtj2dqLtS8Ukh9h7j46O/vXPf7l84eLk5GShUACNcQSGkEqmurq6fvGLX3z66afNzc0CS6LwUKn6qVZScUA565p71C9BdEFqMwBh8cDSe6L3jXzgUv9Zj5ld/qMazoM+VYeBoo3BKUEMGScunclhwxDe4DVRRagsIVV3d3ws4jfnAMAty4pGo6dPn06nKqPR6Llz5xYXF3NGATk9f/78f/zzv8zPz//DP/6msrIym82ixCi5GCIxWrEnDGY6D9L7YIZ/2xUH1pqQHaHyftC2X9guEYHNSRTtmUigA58+ef7Dd99fvHhxZnImnzeAIbe4pmm1tbX9/X3ffPPNkSNHqqqqDEMajoWRCBGRyZwy8iDa4cy2thycItdXDABhc7jRSX0vQcSgAGfUP0s3FuT4loJau5L5ttxNKQfHUhOS0BAUeefzGagkzlrEKysrv/322+rq6v/xP/7HzZs380bBMk0ifPLkyT//P/+0sLDw97/5h3gyaVmG+yyOfZAYIPfJjc1WNn2ztBMvtkNvmlzmtt3kjgP0AFs/9GqkoGl469bdH7//4fr163Nzc3mzAAAmt2KRWE1Nzf79+3/xy2/37dsXj8cty0LQQoxEjAEnZOR4vt2z9jB8exyVvKwEwO/XVFpuwxCJTZAjXNarhzv5jwQFYwuc4wiobqPQm2N3zYH5/UaIoOxc3Ls4aFOOyMgiXt/Y8I//+I91dQ3/8i//8uDBsmVZhmVZRLdv3dXYf//73/7m22+/1WN6oVAQnXAMDiBsnCzc87c5+fO+Kidvgra5nehdIYnW0CFUJJFDwnZuccisrg7evffjd98/ffo0l8uBYJpaJJlIdnd3Hjt27OQnnw3sG+AWGYaJ6KB/QLQkJALSvNghgJAPpKw6ZUUozA25dstiV3ks8eQf7+YlJNrZFoIlyfwjURr45kf0ALZ9B0PGV6R2kqwxJ6IzSmV19d/OzdrgeQp0UkX4HtCWsZZlMUQOFjIggkKhgIjd3XsqK6rHx8cXFpYePnw4NTVlgTU7O3/+/EUtEt29py8SiSSTSV2Lomdrade+AQAAi9A5gEw1CTFnQ/pm5G4x3FA53v7Sp4r1vAW2pPfBZPbR0vu00yvuq2ShJwVkIxAlBIjIOawsL9+9fee77354Nfwyky8IV56maRUVFX19fcePnzx27ERXV0c+b4hys3INM1KDaBHRq8R7PLpCSxXjU/0Wvs/B68/cAK3r9QXf+No5BIM+ZPs4h6JvpCgVC5QodncfYUlu4gtDU/lwaA1NzdkMMEWakaeNPOvEBhIQADEJaCUiICQiI29qWmTfgf3JdMXo6OjKysrw8PDi4iJjODU1denChVSqord3b29fXzwVZ0xDHhS9Qj5yKfXQHQ860/KWWGmpFRLWRm1cTss1clb6aAdhtP0oiDtWj3so1K/miXYBgIDtWOlWRglsaIQqKSvZ7wwtTmGLj4iczNBEBKSg/pAzxiwO83NzN65d//G778fHJwuFAjBAjenAqqurBwYGTpw4cfjIkaamhmw2XzAMRA1s1yZItwQBcNTQ9nJzmd1M2UNI5wW52T/FqIrxyOBRhA1KnbdIPv5jV5tZS3vZgNoZvEDuj7i7E5E9EwDz5ZAqWZPet+3yIWTFS5bxEBZIuBha0o3AAYA4y+eMWCJ++OgRPRoZGn6ez2dfvXplmiZjbGxsbGVlpba+rru7u7OjO5lMiso8smin4ruSXhZpN2T2cFx3CNjfJsp4SoHX3tpcqx8d7UzExsnRvdS4noX5+T//+c/ffffdyMjIysqKBSQUqkgkUt/Y8OWXX/7mN79pb2/n3F7NiIjOD6mIB3klKhR63AdgWQ9Q9o3Qlt9eTg65fyIium5wCE6OSgwkCNZPtD6ziGPml7fjcqqRPANARF9WIN8gw4bivl9N09SWgjkaphGPx7/55pv/+l//6759+6LRKGPMMIylpaXBwcH/9T//5/nz5znnsVh0Tf++2nmJx1zHvLxt4m/C2B98amd+OJcgMoe2/O479HGSyjdKrC4bBARTk5N/+8tfL52/MPpyeHl5GQAQNUSMx+Otra0/+9nPvvnmm9raWtPkEBAc4gdjjDGGjCQHDAzDYV8+RlGCwW5b2toRqzPgSN4t4QZiC6VKtDLHo76m4Cn1iKqoqO/aOWJaVFNb+5vf/uN/+S//pb29XTSwLGtlOXPv9p1//ud/vn79us5YNBoV/FDtmXv5MSl5i+D9WDk73uMdKkW+b9/34Xv/3C5ricCf8lJQ8HsUg9eYhoDDL178+7//+5UrV8bHx7PZLEcgBE3TEolER0fHN998c/qLL1KpVN60VP7jiAzGvMwHOYCswMUIXCgrSEuFI2rCMmk6zbc/A1mT3siq8Ftt7HWocvjSV61LhPn0BF/niBpAyMZH3oijYZktLS3/5b/8l9/+9rd1dXXi1qbJl5dXr16+8i//9M8PHzyIRqO6rvtkh6i9oIoVcYSDJ0fwjmf3TdC2whNtDHGwtbT2l6yoWkBARMQBdGREYBjmsydPL56/cO/2ncXFRZN4FHVEiEQibe2thw4dOn78eH//XgIwDFNWmbHv6xoFHIuvZ1S4jgh5Yf31jhn9v8IJlax2asPQ3+GuWm//vrttyrfGAmk4RZ/r5AsewxDzmYm4t0JckfwUjn1dVR3COC0q1W18nl5y6tEolztJptRmAMCBCqaBGtvduycaTzx/MbS4vPT06dOFuXnTNMfHJs6fP59KJXp6enq69+i6rmkatzV3DgwANGBEgJwwbCciEU+hT7s1FPSrbCZXRTlZjUrnMFqbfC+iSKv3CdWyQ8VpvTrc1r9x50t3FxsxsNHXGiIRFPKFx48fXzj307179xYXF03TjMRjhBSLJjs7O48cOXzkyJHdu3sMwywYMu2dizSRyrjDL4XE0dQBqOvcKSLjXF56/CH+TPW3hwduDOu3dn4i7+2ZE3oc5M3o6W1rqNgEFZN6pEBiS5Q2c7O3kr9laCZsgACu1oHi2nXrfDsDEkq2acZisX37DwKwZ8+GcrmC8PQiFUbHRozzvKa2tqurq7W1lUV0TWPA3T4EMtrTJ/n9wASWyGtUZJ7eBK03+1U5tMPz318q/e5C9h1YEmrha0Oyrh8LdEWB/reGSmvUIXsBUkfizoPGJNp+ZWX1weC9Cz+de/bk0fLKIqEWiUQ4WIlEoqur58iRI4cOH+7s7MjnTW64YFVEBOCqDUhENLtAVOCEhKApAklBsPrLDAu7+Rbv+MMRScXPbp7C3o5f7mxmT+Qx99idOPEEvjytG6DidaL9/auSQGCLBNzVfjoRJE2mwZOpisNHjhUKhWfPnhHRxMREobBqmjA0NGQRb25ubW1ra2ho0KIRpw4DABBDC0gjEfcg0/VyIibkO3NjPgC4veo2+UrXxi9/JLSt7ETvE5H7CYCoF5PN5gbv3rt0/sLDwfuTk5McQYvoYtufSqU+++yzX/7yl11dXaZphdrHFfbqOQi+Q/bBYsAHgE2GZa6DcC0et+XjcPXOsGovYD+7FD0K9kdk3iw2oOJ6AKfAayr2pzskDByRY3MPqqecNFUiRtzpGYNWfwDDMisrK//hH/6hpqbm//q//q/52TlN0/L57OjIqxs3bjQ1NeXPGIcPH45GI7lcXvTDiIi5lke3Ty9cExTNPnSNbSm9fVYbrqKVflLfevMd3KEd2hgVY1/gX5CygSh3v7y08vDhwyuXLt+5c2dychKQswhDRCCqrKw8e/bsl1+daW1tNU2LKyEA6kfNGLMTEoXc18/cvPkO3ktayy+yZfdZP39w/AfuEVXZdjZQRRAB6iXFAGgyr4dYUUpLdfmJS4UMcpZKc0vLf/4//181NTX//b//94WFhWg8uprNvh4du3b1anVV1dkvvzx06BBHKGRzalISIhks6WGb6NZtQE9ajB3aofeDijFMdxPr9SchIoDmqzP+FsYZpBJ7AQFQFd+m4P0IMD0zd39w8MqVKw/v319YWNB1nVBjjFmWWVtb+/Of//zzzz+vrakxDBNA4FilnLId3LbZiHn+BAAgWbNMDgyLipYPQe68LfJsQIB84k7l/Ju5BZbcC3i4vbTUWOD7aoiILFJsrz09Pf/v/+//p7q6+l/+6Z8WFxej0ejq6uroyKuLFy/G4/GzX37Z278XLO7kKgJ7Txe6BSNviYYdFX1radvaid7VNjKQmwYASqqaDJnQx16Pjl2/cvXGjRuTk5OZfC6WiAMxINbU3NTf33/s2LGBgYFYLGY5FamE3iYM8Eq9mDD/7WZnA0N+hdN6s8SXZSEKTGI4EGk95Mnhvene0EX3MOcQgV+Ph7Ws8rKWkNMmkFAJHL6Gdr4kANS8uaUZguW5jQjWFcg1Ms1YItq7d49lWY8ePcpnc2NjY0tLS4aRH3r2/Ny5H1KpVGtbc2Njo4gr4dxCFD4cgdv027YYIErgwlvLCFgOcnCrPG/r68crYD5S78F7Ret9RxvGr60b4rrBj0kyHfdqDYkTIbHRkVdXL1y6c/PW5ORkPp+PJuLEOWOsubF5/8EDh48c7O3r0zTN4gDARDizxyCFXHAndHyAHAGAaQAAovwMiWR5nIKejE2SzVucUiWCNgAsKtUei/xR/FGKoQ7XvpfsuRy4wZqdgMwWEcxyLbE/xSURhVVUkDXOnAZgb9LQVallS0ZEIt0siZoynPPKysqDBw9mVzOPHj0gy5iZm8tnMpZlPXvyOBGL1tRUNbc0VldXi/hoC4iceklKliILLB2ZR3fn9n70faJSHCOIjSqNWdih7UfbQcqXc/diK7DUEfU3KRxGQJwkZ5CRDWgYxvDzoYvnL9y/d292dtqyKJZIcIvHYrG2trYjh44cPnx49+7dxJEsQObXvm2kqsfX6GePaHNX/36HnL6oDFd38HQIamYzQJ0tI/utFfdYbPkAydmDBLomdKWbVyK7R7yV5gDBg0i1OwL1KnLECnDgJGtlkNwMEREXZkFuL0Kwqmvqjhw5sji/8OTpI3b3/sLCQj6fX15efjB4LxrVG5sbGhrrUskKWf6MSIWqqpYgbq8cImKofiNMWVCboe0SQ/oOadvaibYvOdZZZ6VaFp+emnpwb/DChQuPHz0yDEPkjjENHolEDh48+Otf/7p/oE+EAiFKNKUoHOvLEu9QCVdziQYfD5WjbHpgMrSGh8KBKboKtIT0r72TCWK7fNiiUHu82IghokVcgAIA7JyjcoW4vYkjjAg4twAikUhbW9tvfvObilT6n//5nxcW5iKR2Nz8zPVr12qqajs7O/cfPNDc3IyIZHFRikL1fak2ePVgEFj0YVFRjXDNh/0QZ2OH1kVsC3cUpR3UqlsQERDQMs25mZmHg/fP/fjj8+fPEVGLRlBjnFuRSOTEiRM//8U3u3fvFuAOLn0PkgU5JDAqqNwOGQLaGY4V7OomPZBl0/utgYWy9PIvD/WLFmtZ4o2IN1tsMEGgEyI6IcmqcBEWIkS0LAsR44nEnr7e3/72t8lk8j/+4z+Wl5fj8fj09PTNmzebmpqam5v3HzzQ2NAMAKZlBgfPOUemARAwBHJvvfa87NAOvQ+0JgZ5+5Cr+6HnT5BaKCJiLpebHJ+4e+v2+R/Pjb8e1fUo0wGAcW4kk8lTp06dPXt2165dqCCIwGUghMgAOQAXgcxC4ogdvn0XcVmpcTp675aJn23wKt7aEDw4LPIfLzGp6j5F/M+zQqi4pCuCog3F2TnhHQSWZQGClkxV7Duw/z//H/9nMpH+y1/+wjkXOa1N02xvb6uvr927d6CutsGyLAVd4acPdKuyvWjHTlSCQnYFPnVN+P2WFhdvXr9x6dKVkeFXi0tL8XgcmQYca2qrOjo6Dh86cGD/QG19HWMMGHHOGeggsSe2lkaecu+IuN49STHTeZBDvINPakO33FhEW7EnpWCsc8gNXISwZJxkEa7DpSx99TbCHx2hGiDhJQYb0eMEMToHUV4sXcnCIC/wnADAAVIVyf0H92UymcePHxtGfnlxcSWTyefm792719DQgBpUVqZTqQoBLHD4NZdeF3dkhMJVoHB5VWZsGRWbxvKjfzezS38TRS7f3Gh3aL1U/my/mzdSztfEZY0zDggOTxAq3Nzc3LXLVy9fvDIyMrK8vBxPJBhjALy+vranq/vw4YP79u2rqqpiTAcATQlUCrp2xZfOQASiErhlQZg7TjvkCez/b+yJvLneil23sS9lk98XD+M8YPdZlFesRytde4RFsQDKzJd5sxKwJt9b8DXTkFkkEoKCcCdwBADSEOvr64+fPLG0tPT8+XMAyOVymUzGNM3bt29XVqWjUb2ysjIWi2lIAMSRORPDiKGsiMZIZpJARORS8IRI421MJSuglYNZ2Ba4hh0qRlsrwVnZb3qz+RPLIQ+8xh4XB2ASQM4BJLefHJ+6fOHyjRs3xl+/Xs3kkskkADFda6yp6evbc+DQwb7+vel0GgSrkSJD4tMVKaMBcMYYcHDg+IQcAFVFOohbIfSC7tf/pGqNY3JdHnISglAYLPv3ZghDfqn9q298428/ZLRFhq6iU4vVhnawqGRHr69xd++9UGNgcbB3uLLamkCZacSJMylGgTHW1Nx68tNPZmZmhoaGXr4azufzmUx2amrq+rVryWQyEYtXpitQY8iIOJJIoAHASGCUGLoZZOX/nWhKRE4EavrF9dOO9i5px060DvIZiQQgiJvW2KvR7//6t8uXr66ursbjcdAYcULErq6uL7/88vDhw9XV1bquCyceY8xj63U4bBGEzI6tdF1EqpVnQ+SdcIbkT1Hka1ws1UgJd7HqwlXP+vCias+MifyjjMt8oyZDrK2tHRgY+OpnXwPwixcvrmQysVjs5YsXf/jDH+LJWE9Xd0tbJBqNAqAEsikDACBlN2ofVzzMawZTvHXapK1n40x/x2WxQ2+awqOHZNlgPjL86t//9T9u375dKBRisRgxJM51PdLb2/vF6c8HBgaqqqp0Xbe4Ww8Bbb1cUeL9SFj7h/+zep9Xezna9ppspCirUWfmDc4SKtmLvJuA9Wb3CUUbqeydcy7WB0Np2+FEAGAYhh6JtLW1HT565NWrV4yxe/fuaZoWiUSePXmysrpUV1e3a1dHY3NTIpHgnAudx70paE4+UWGdJDtXkWMq2tjc7NAObQdSP6JtzjA937s8IrEg4mMs5AtPHz3+1z/84enTpwSQSCSIoWVZiUhkYGDvZ5991tvbW1VVBSJWDVEENYtq9+CKGHk33619NmH0zpbz2wXCbOlcbjctdi3aSIUHddcT3I9w4oiOFb+s+XC1CCr3GueOnHPmTRXk/KshmjbEjIgMw4jH4+0dXcdOHJ+YmLhwSX/06EEkEkHEO3furK6utra2trS0VNfWRSIRTuDA08B9UhT5gUNvt82/yveIduxEDrkfp70SFf+qQur6syy6P/jg0vlLjx8/nZ2d1XVdpHuJJxJ1dXX9/f3Hjx/v7O6KxKKIICMBQFrxZU4ix3MrOrctBRzQ+UpLUzAgt9jZcj4atd7ZmyBv36Uj/zfUvxR+9p/F7Tjl3AARiZyKaEr+DnsXQQAMNXAtPggA6IkDV2+mWGSUKDMI2yUSkZv7gICQS9Eu+uAcUNe1aH1j3WeffZLLZEdGRvN5w+TWSiaTHxu7fvVGc2PLmS/PDuzfxwE4cUaMMcaIEFFUndECFhA5XQFvw5un4K6MhTXYZOzPOisXSJ+bsng8e7bSY9jxRWwVbbgu1ZoqVzl9siK/y12HZeFuhJonvXgMETgBYwgAuWz2weDDy+cvPH36dHZ2NhrThWRIpJKNjfX79u07dvxkW/uuSCQCAAw5SICQVLdF3hnHSIQ2xNxjNVYkXagf1fdnMZYQ4o8NNPX2X07VoSCVk92sfAp6dDfTm0obwSlIVCmEGA2huJFI1eZL821CIFv3QCl3hPLNmPT8i4oyEg0Qicbb2zvPnj2bzWZFRAAALK2swNjExQuXU+nKs1992dfXR6ghciLShAaPFgAgaQAyV5Ft8/rg9Hgs9jaV4+//U34QVOxLd8REaBK6kjrqGgt4vVnztp7sz06yA4tIA0aEnAESMGQIsLi4fO/O3SuXL7948WJhYSEWjxMRQ0yn062tzQcPHjx27FhLS4twdZOrgwIQE0kwnXrNAIDE1O2MRK+6mrmDk/XMXTHcjUplQffKUPPD71v891ZQwBMTLnG4fXAd0sd1KKh6uzgSADdwCIdyenJQKBLE7k0xiYr/B2pPg73MGGNAjIij8EA4V9mmIgJOJLLaoY4Yj8d37+798uuvVldXJ16PL/AFIlpaXB1+MXLuh59iscTpM6c6OroMbilmWc21GSEAR3IqhpPYo8nNM5Flz+0ObZx27ETrIAQUpln5PSAuLSye+/6Hv/3lu5mpaV3XiQnLD9bWVQ/s23vo0IHe3t2VlZWmyQWYSEWRBGWMBx++E8+/IVoT17PhDlWuGNQdFIOUZIjqQTc83PtaBRrT0Zu5w9+dPaM3vldAfIW0tiwrl8vFYrEDhw5mMrkHDx6sZjMTExMGY4yxe3furKysJFLJjq7ORColh20XtQH7X/VJiUgsb88q3S5K7psIHNuhD5jem9Viu8VcXxkXiH5CRJiZmfnrn/584fz5+fl5TdMAkQPpiA0NDQMD/YcOHerr64vH45alfLleDJFflFC5LHEnXGYLKSj0VT3bYbmbKQa2LhCoIndsnVo5LtakZVnZbLayquqTzz5fXFx88OCBWSgsLC1FIhHO+dWrV5eWlurr69t3deqxqM/6IyGrXoXHYySCdYx2h3bojRFT/n2/qQS23bEkk8RlINq8/fXo2L/927/dvn4jn8/rkQgAcISorjc1NQwMDAgRo0WiIm2ZD4sq/lJFTIh7NIAh2sijAQAAB9hMHNG2p41oue4uIxBLQRC+HkI7WfOUmpmXKysNQcljreTNUIPfyU4RawsI4a9CwzBM02xsbDx9+szUxOTDhw8550tLS5FIpFAonDt3bmVlpaWlqbm5FYhxlBFnTlJrRuCW6xODdNScD8MPsT3oY7UTrUMF5gBAYkGKiwgFrG58fPzezbuD9+69Gn0pqvchMsb0WDTS1dF55vSpAwcOOAG9qhdW1eb9caGKNVdZ5evD3ZDy7/am9Xpct9bfuz5y4qsRkIXUxeOEFBqd7nhgvGyLAzBZYY0su8yNMB0BkSwZIOJ7fb0xQADkiMLtE41Gu7q6fvHtrxDxz3/+c2ZllQjnFpZoaPjSpSv1DU1Hjh9raWvlpmWaJpPc096J2gPm6Bi5nMo1b9NMWf7bLKdlcP0EV04Z/ZR2Re3QltFmMGKbifAv4dNTG5S4NkDrNK5IvUoBhIhEZDqiYViTExPXr964e+/2yMiwaXJgBMA0jSUS8d7de86c+XLv3oFkPIVMZLf3WJOZsDyrGrzt0fUNtthvRz30PU4x5FE5D41lTZD6Xnjgg91aC+BbyoukTDvzHSe5b1N86oomEPTuCgrFDTkaheOBEG1EunJy/RUArpeYAQBwWYqM7NoaMh8EoaZpsVisf9/+v/u7v9f16MWLFy2LTI1n5uefPXt27ty5ZDp1+OjRxqZmy7TItAAAgaHMhUeazCCBAEjgWkA/FD2+GMbQx1t8zT4Eq8T7Rutl5qH4ozVbqkeCl5STpbEY+e9SvqhxcCXyU0REAsagUDBHR17duHbl0YPB169fExGiRkzTkBKJxMDA/tOnz3Tv3hNLxDkHzrn0QBAhIrM5jfiK7YR3oTnpwEa5AoE/FVGpQZf5eB56m3khy8ASeiiopWzROJVCB74JE/uFUE6rvoViuYrA688Any6hFHQmT3sE8JhsXIuhDEkmJjfWjHOu6XoqnT589MjM3Oxf/vTna9euWcQNy5yamnr06NGPP/6kR2P7Dhyqqak2cgUiEighBgwZCrsnCunmJEIiQmRIqNZ382ouO7QO+ljtROskJzMxgMjcBoZh3L195/vvvh8aGspkMowxZAwR4/F4XV1Nf3//Z6c+b2trsywr6CJ0VHnfcdt+VK4NeIfePgXxNZ6dnmN0R3/G0NIv1MdnEdHBFvm8xGLdMMaAkJNpWZDJZGpra3/+zde57OqdO3dWVlYAwLKslZWVq1evAkCqskLUPgsOI6isu6jgnRW4Qx8+hRoQ31UOcjuZNAIA5LLZa1eu/vTDjyMjI6vZjK5FGWPEMJlINDU1Hjx48MyZM7W1taZhMsZUNy8nF0NEZXzyZVLAXvR26MPx9oeSa7uxE/eoZxH8R9ZFKn5nzZbuJULVtvNZmKZpGEbbrl2//oe/X15efvDgQaFQEO1XVlYu/HS+YBo1dXVNTc0AwIuEM9sP6I6KlVEg4gMiHrA47NA2obezDt/Nare1U4klBzvtLyIQ0Pz8/IULFy5euDDxejyXy0WiUdBI1zAWizc3Nx8+fPjUqVOVlZWFgonS+eBWZ0b7YwZhJAoQQnjS1Y1hi4Sn/aNiGeuiYsB/Yf3fZOduhFeg82Dyu3IIZR4WudU1DINz3tvbm0qlZqamHz16tLi8JFrOzc199913nPP6xuaammoPXgnAsizQGCDTiABlOjxRNw0CARM7tGH6+OxEJa3UwZMqkghEyiwAw7DGxybu3b53+9atmZkZToQAhIxMXltfc+r06WMnjtfU1AEioEYoIielFdbhtsXUvzCe+1GxR178z3c/D16LdDk6HwegsKz7Mv8f2ZGMUpu33TRuHXuGxG3cvu0rBgBALty/RKRHtKqayv59e3/+i59Fo/rg4GChkGMsPjryStf1gf39zc2Nra27kskkcJNzjpwhIhfJE4R3iJjNZ4lQgzJ9PtuUNoYRKOfaNfMo7dCGaWNzG/TWlvlVlrjR23in8pP3MHuGiDoA52CY5ujo6K0b127fuTk/Py9Om8SZZbS0NH3xxReHDh2qqKhgDCzmVp8B1IiIaa5/UfX+ee6u/F5DmULf/z1/UpHfpT135bmKi4Hwy8GOlT67Ga/+1mRHCppvHLe8etDREkLybpTkzx67oTfbkXNfeZw8B52eRa4isHNnxeKRxsb6w4cPfvnlmetXrz4bGrIsixv85ctXsUT81o0btdXVTS1tyWTSsgi5ZeNeAdBV69VNZhHcwTahDde6Cj2yYxvaPrTed1HOSij93suHj5WLTwnjnyJzEFNtME4cqx0HpBiJCIy88fLF8M1r1x8M3l9ZWQFGxIi4ybnW3d39+eefDwwMpCsqmMYsO2kGyYRDIuMYtx/Vc0f0YUm8T+LdWwWfovSJ7Ubly5FiWkpphFG58qXYVAlpwjG8vmRQphSTMk7gmCpWQHm5hBKdavN5bydqVIQNQWJInMQDEucAAPFkorm5+fiJo6/HR69eu/by1ShwWs3mnj99lk6nDxw4kErEamvqY7GYZVkAwJEjk2LFQkJgmgS1WcrjqPO27cTM+0Ifn50I1mZAqjdMNeeIg5zT5PjE/bv3BgcHh4aGOJEeiwJjuq5rmtbZ2fnFmTMH9u/XNI1z4AhamGNty5/pQ6EPUKNaA0mkloBRDEaqn9ntR40/V1IgERHnvKOj45e//GUukx0eHjYMgzG2tLT04sXzq5ev1NTUfPHFF53d3U4cim10UogY4Ac4/zv0kdF6g/y32ipUhoLrftQSu40OZBURLdMcGxu7f2/w4f0HL18MaxFd0zTQmM5YPB7fs2fP2bNne3t7AcA0HQ1eRQ+5HCMoad4rnOAHm5XMNZcE4F1briQE8USo+HLVrBPBm6qD0TStd++eX/3qV6urq6/GxjjnBjdyS6sjwy+vXLpckUqf/erLVCrlqOmCPqwosx3aoe1IwcxEQQUS3FAGyOXyIy9fPrg3+PDBg9HR0Wg8xnRdFEFPpRL9/f1nz57t6OrknJsmeIujeyrn+rzaCo5VWKJFm3XSDp/w0KbQzeJdlFNfUhr4bHHgs26W4N5Fqyt4CwKGChd1lXLO9Wjk4KFDuXx+fmFhfHzcsohzc2Zm5unjJxcvXkwkEp989mksmQDLUodESi680kPdoY3Rx2cnUuzcqHyBPr9oqFpjJ1Hjg4N3//znPw+/eMGJBA/lQKlUorOzc//+/V2dnTU1NUREYIlzACBi/h0stxzLm1nQZdnsd2idVD7Oy8thg22Ev0VmjihGvt0CCs8uaiQAlgAaME5cOHDI4oBYVVM9MDAw8vLFg4eDjx89nVuY52Dl8/kbN24wxlpbW1tbW3VdR4E5JgLUQGYmIt19Ombfa/usmvLrUpWPJSkna0D43Ulpv33m6OOj9ScPWkcDh9aJGSniRw3lw+TUOVMYAQKYZuHW1evf/fkvY2PjAllocq4hr62t3b27+8CBfR1dnZXVVZZlCZnCRTozABQOOrQddgEOE2o5ClI5UoOK/F6LOPhB8uX76jdmM3pzUYSbzW1Uwnqi7rVkVhEKyU8E9qkShOR6cX23AAC1cg0p/zJCAiAUaGngnCNBU1PLkWPa8+fPh148GxkZWV5aZQxWV1evXLmi63rPnt11DQ2M6SKBIydT1L4pPSPbEpBZfr6zclCQW/WIxfLgbMspfG+oGFcpplGUn5Wm/KxDpcnfzxqcOaTerriMI8jy6NlM5uL5C+e+/35mZkZeQkiEDQ11e/bsGRgYaG9vr6ioCDAobm9kuAJw9/AfaSoCF8tRbLQlnoLKaPOe0+a/2ZLfviLCsWSmUTVrIVdDZ9TO0G3pHnQDHlAg11z3AyMiAhLBXxwc7CrYYDbniEh3zUHEiyHirl0dnMOTx49HX70aHx9fWc4QwtzC/E8/notEIl093dW1tWLANloKAIARQ45hk7HDIbeAPj47EQAo+lD5qjCCjB2anpy6e/v2pUuXlpaWRI0zxhgwrK2tPXLkyKFDh+rq6nSdWRZxshhjKPCfRTx1ITfd8bx56H11KZebrq8IqdgiB0lkLyTyNQMAznkkFm1oaNg3cODU518U8uby4Ippmoj44vkQ5/z48aPd3Z1NTS2JRELkKFU78Yx8ZwXu0A5tgtb13TsKPUNGnBPQxOvx69evX716dXV1NRKJcEaMMV3Xm5qaTpw4sX///qqqKl1nooYmhGGIVN/ahwVf3YBhYftKkHLY7JvWcH0OCZ9cIGBiaRFHzs1kMtnW1nboyOFXoy8Nw1hZfaaBblnW86fPYrHYp59+2tjY2NDUlIqnRHUk341CsxJ96DWMtpDenAVqhzZP78G7QEbAkQjGx15fv3L15s2bplmIxKKMMWAsEom0tbWfOPFJX19fRUWFrmuGYaraoEz+oomfIbzLr0n+/9n78y/JjSRNEBRRwE4/zO8r7iAZZJARQTLJZGZXZlftVL/t7d2dV2//1X3Tsz1TPZXdWXkn8yKTwTgYp0eE35eZ2w1AZX9QQKGAAjCYu7m7mTm+54+0gMEUCkBVRVTkE5EUNBYd4ySuBoGE6LZUcu2UynxEeJrGEhI7FAqmnpIcZ53NKko2++OKERE5DiHi1NTU9evXP//8883NzT/84Q/N5usC5tvt9sOHD6cq0z/9h59UZmfnKnOFQkHqP6GOZXuXgePS2YmkmZUAAJg0FancIt22SkTCDv/y5cuv//CnR98/qdfrtm2bpgmIhmHk8/mVlbUvv/zq3r17+XyeE3BRO4CLumZu1pmeLBI49awOtzbAtgaJlLyPoUhiqq5oQYs7yghw8EJIAIB5d0cIGOFNVYid6P2QPEpBXIyA8Poq3xC6rmBp9HQcBwy4efvWf/4v/4+jo6OnT592Wm3hha5Wq7/85a9yheK//Mu/TE1XHMtxHIeRSG0IcolnYAABIUeGxIfTWpTGy9dvhppw5L8K3UkxhA9ljDAob/lgf5uWXxDHxJFHQrObC6I3MUCOiIyxH548/f1vfv/i+fN6vc45R8YQDTOfnyiVr1279tVPf3Lnow9N0+TcTzbvW4mY0NS4TBGhx02rjNYTeHoTzu9Hvw/l74DUb6pnlvHIFWCAEuQ04yrtr1xGD2BACZGCRnvQqgwKvYeAHg8AnliVKr78LyKKIEamZDaRVS+JHGBoOTYB+/jeJ5zzvf39Fy9eOHaXGACj3e2df/3XfyWEf/mXf5mcnAIgEKXPkBMAocGJG4DcAWSuFkQ4hEp9v9WI+uWMDGQoZk7yEyDuLejHuXY8rpLdWciXEyEiAyZA0P7LABmi4/CHDx/+9le/Xl9fb7UaaDDGGDAzl8tNTk7evn37q6++unn7FhqMczWfPQAAAmcsULJSZxKB/6X7/37ZqcO2IqTDycZD8htPS4uOeMIxYl6PihDrPI+R3lKy+LsVCrgW0E2ZAYhInIOXMAi9TNV6GDVza1+KHRMDdMRpDJBz3rUtI2d+/uUXnGhra+P169fiojZ33rx589/+9//Dceg//5f/10Te7LZtADAE61bsrMFAJMPf0CAlslkzpMTlfYi+4p54mjf7EQC47Tx7+sNv/v1Xr1698jJpAREVi8WrV6/euXPngzt3FhbmTNN0HD6Ue+yRw7D4gV1lWjki/CQB87n/fappFYr+9Xd9MYXwohthvmXTcZxutzs7t/DpZz+6/+mD27dvVyoVIjIMo9vt/u1vf/v3//nL169fW92OW/wiKguGZCeluYUMGYYG3PsbJbg+CddeDO1m6+G3D3/zm9+8fffOEU43hgAwMTFx8+bNjz6++957H8zMzCCioAqKRkhpyjuSlr46gmCD28APOyILCSUjIZBNihj9TJ37434iN3BMihjbtldXV7/88st79x5cu3atXC4TkWmarVbr66+//s2vfv327VtuOZxzMAIRdu4NiTb9GxyL93Su4NqHDBkioCYtknbhWq32tz//5Q+///3uzhahW2ZF8Dhu3br14Yd333v/zszMtMgXM0ZSI8PJEbnQBMSHoF14mxFdmgR5Ru6wJKVImZeIHWzb5pxfv3Xzix9/+fHHH19dXSkUc0SUz+cPDw9//etf//73v9/a2rBsB4CrYfQBmZVhoLh0DxSjzNVikMunwYGkeZW5FgG0u87u1u4Pj55++803O9vbACCqEXdtqzRR/uk//If/8A//MFWZDvLevG0/chExhOTX+aBeJqqxBtP+9OPDAkJOyDk4XsIIweKJeHtIyED8GUjCZcoJOSEQup+9M/0/90gQEKnxIwfkoTUXg2Z7URXyk08++X/+v//Lrfdud6yu4ziO4+zs7D19+vQvf/rzkydP2u22kc8hI0DOkXOvV5xIJzQNDfRRoR85maXA/5W6Poj8f/23lmGwSH6nunmIe5yJnmsIJ3KiRru+IumfTwjXz+YuCO4REwEAbNve3t79/vvvv/nmm729PY4ABiMi2+7Ozcz+/B//45dfflkqlVwlS+YWRX8bj77UYvJyut4GUXKwX3mEyl9cm1FIv9pz7eWmFw2neU36dUMts17n6K2lPw4QfJKeQPH/5OBRR5EAAQntRR1dwNyfiGFgRO39xCBh+rdC4niiihxO4BBRoVT84ovP//N//s9ra2uddps7juXYu7u7P/zww5/++IfHT7637a5pMilZDEDDq5QEAF4NniHchSaPxjRH1OPqWnSa1aPnSAtdMUMy4uav/u4Ekmd9pABKeAtqa+l7mwSxYpC7zQBCIO4WOCOvUhUBa3esjY233z389rvvvq3VaoLByjm3nO7y8vI//dM/fXLvnpnPcXJXBOUCHJlHMGcoyvJK3dW9oiZBdBmR3H/0uLGRkiidfLkonGx2qyvDyR1dsU8mxSMTp0jhEtqVqL0U0GmtIRnEvW2IO2bAAGKobCsCwsuv+8lEhITwjoEDU1NT/+E//If/23/659nZ2a7VAYBOp/Pu3btHD7//21/+8ub1S042y/kRUUSEnJjS8xTe7my1TIVLF3d2MiDC3t7ed3//+6NHjzY3N9vtdqFYJIamYUwWJldXV+/du/fh3Y9KpRLnavFXIIKshtSYgbn5P3oswBgwuPQ9BlDJT9TzuGoqEtltb968+fOf//zly9dPnz5tNBqc827X2tra+eMf/1iZnZmdnZ2sTAIAY8xRmclukkJQcq5nyDASOEHmmiECA3y7uf3NN988efJkc3OTc54rFhAxl8sVCuWrV9c+/fTT99+7Y5im4yixSEKxZohB1VrkfBnKffhAMLwph84aaWx5Ce9dFx+hz2n6YNs2Y3Dnow877fbz588FvZpz3m63N96++91vfzsxMbW8vFwqlRJ7SFkivAHhks6FM0aaRSYu/r0nzvWVEYokCfzNmzfffPPNs2fPtnd3TNNkZh6B5QpGuVy+efPmp59/dvP2LcaY42QjKkMPxJU5Yx5DLSBiwCvlFIYb66xKJUR0HCefL96//2mz2Xzy5Ift7W0CZllWu91+9erVb37164lSeWFhoVAq8XBrDBWWUSZiBoJLbSeKIBaJcYz+nkOwMxDwxYtn//W//teHDx8CgGGaHIE4z+fNK1eufPzR3Rs3bszPzxKR4ziGYagx/+jGarpXCF3dCyDNAs71e09+GqeM7JUt9D6TgQFeBC9Kzz0RKUWFBQjJe6GIwECk8tc6hlHVZ0gZEJHavHuaPO5VE0BE4C4PiAMg5wAwMzf74Yd37937+OmTRz88e3F4eMgYa7Vav/rVr4yc+dlnn61euUJi+Q50goQ/BxG5yIA0FC6cuHd0em1Gb9kfFXH3ns3Zs8GJc77IF9FvlgeWWoVI+64T2lP9aaGDDBEQv//u4f/vf/uvL57/YJjIuCm+KpVK79+++fHHH1+9erUyM2XZ3HFIcImkP49p2ULTcjXUTBMpTtd+lHAoDlw7NZzvI76xuDc7qJmotqPnKNHziaRp7dRQHoekOSfYRIWOLMaYWqcmJHHiTEUKRCAA81sDEG5fbjsEuLy8yj+x79279/r167dv39aOG7lc7ujo6N9/+euJyekf/+SruYUFAGBoklejE8HwdwJERoAEN0LQx4meuQaUI6dH3MqWZoydRX/GG7pMCX0L6fTPyHUpxDxKfrMR4yokR5iSBT4wx3X/NPK//Pnrf/1v//ru7WYulyOPHDQ9Wbl9+/adjz5cW1ubmpqwbVtcgXuqJmPMpRcJ7ZR8P+lZcM+HQeO8OOijhQX/GXfmqUAyVj2+/I7Qh+NSVQiFQ+RsFfWU0aukSUQcGYEbZca8XyEieBIh1LJtccbYtWvXGo3G/Y/vbm1tbW7tdLvdfL64tbXzb//9F7Oz81/++CeV6RkHkDFmECciUfSMExcZgQkoSodXNZBsPUyF7DGF4S2+AAAIaDADOB3uHzx9/Pjv3367tbUFiGgags5dKpU++uij+58+WF5eNgyX4a8TQC7gNjIMAvqa6AdZnOK1xlniQQnljRtIkSFp6GZed/tMRLlcbmZu9tNPP/3Zz362trZCRIyBZVkbGxvff/fwm2/++nr9pW3bpplTLVAnvqPLh8zhNjzo18Q8RGDIEJFzvrO1/eT7R3//+9/39g4QDLeMJsD09PS9Bw/u378/NzfnqetKXgB9lfCCqDNcNEbvJeijKyRoxJiUFszFpaXPP//8q6++mp2ddRyHMdbtdt+8efP9dw+/+evf3r15Q0SGEf0cXBUrkzkZhhEnnrzSphMXbXqqq6i559N2SIgY4u/evP3+u4cPHz6sVqvAGGMMDUZEc3NzDz779O7du5VKRYgY8UM3TNUwQFM4oxTjbJtziRCKNXMPRuXDgpidS0QsvHKCCBkrlSevXr36ox9/9cUXX0xPTYiEWY1G4+XLl999993f//73ra1txpgQMYiozjvi2b5mYLh8fKIYZ6W7/io2crlg7uzu/u3rvz78+/fVarXb7Rqm6WaH4DQ5Of3gs89//NVPJyanHVHdA8ifLcgBAxGinhEKAYAiPAYZ0nuG0z+x3j5hfVCoS57v809EoDJExFWkg9o9EnbwCh+OWk+N+WxMAe+HSF4BPkEjcllA7ursAEC32yWi+/c/NU3z+fPn3z98yB1A5IZh7O3t/ff/818R8X/9l/9PqVjiwAABgauxK0TEQCmPdIY4DRcgztOifqv7fnv3JI5p6EqyzEg0YJzs7Sf7YNP/Ko5Tpn57WqYAB1I9db4KBcAQ373b/Mtf/vL48ePq0VG70zEMgzEm9uRzc3M/+vLHn/3oi0KxbNmgesNcD54BHnnbXX8wJmY0QvSh9nXct8mH+10lhE/RY6lENdBzio2ExGTKsq8ehKi1K+aOlEfDAIXjl0WxHYXsiHNCSFZRmJrq6tOOf6aaS0LJOSpKHLs/R+h0OmiYP/7qp4D45OnT58+fEwdAwzTNjY2t//a//x/A8H/9l39B94qGbId5cQFDGd2czBWCmM9xZ+rv/WTyrl+Jk0koHek5gHFj4GQXTZA4yTmMAiBCAE4IABxdvrMBAAScgBgY5JUo1GtXIeDLFy/++se/vHz2sn58bNs2GogGY4CGYSwuL/3kJz/5+O49ZuRs2+0SIhITsz6Q38BtL3wkeLQvguklQs+xpJ/A4r9Kak0dAcHIlWigZ+kjbxihrGrvk1gJAXX54u6S0A24AABR9czlFgESkeF+NggcAhCRDNGpMzgJ2ioAtjrtfKHw8//4HznRw4cP377dAOCMAQI9f/7D//Zf/78c+X/6T/93g0EXAQAMMFDVKoiRm+s6uhpghpQYCWXrAuAufwQAsLWx+Yff//7x48fNZlOqTaZpLi0tvffee7dv315ZWTELec79YZ+ZMC8Jkr0oQZN5MMArUYSqrKLI1vTPRGQyxsBNry6ywc3Ozn7wwYcPHjy4c+fO1NSUSF1UrVb//Oe//umPf95898527CyCNz2yeT3iuODtk5yqIVfb+vr673/z2+fPnnU6HSLkyDhQrpC/cuXKnTt3bt68Ob8wb5qmcLIxFiu1R2QiD0TruKQ74UG9YLnsqxZw/yqIiIbv0og6x3EcRFxeXbl79+69e/du3bpVLBY558Dw4ODg66+//tvf/raztSXSaanXkneRLacZRhwsyjgIqfPj9rsSutdSJ47YxidPJce2nz394Te/+c2b9XXhQRTb8lKpdO3atffff//GjRvzizNqghi1Ta1x6rPmQYaUGPb9OIEW4q4gTv0IHCcWeZrOXQUAx3GMXP7ajesf3/vk448/vnp1LZfLCS1oc3Pzd7/73bfffru/v+9wQkSV6woAoWmS4TQY9nE5eGC0quXy6DiJzC/EXQOrY/H19bdff/31ixcvOLeZicTcJFsfffTxlz/+yfLKGhjAGHiygSEyXZVXeXre8GXC7jpkqv1pMsCfPnt8ZEB4qP1+r6Ka5KNbiHsLRI6g50RCyFJRHYDFOEZ9Iz0RAENwoxMZIIKftkqrL4AMUDcGidoBDMBAFNXK5PkGMuCOZBbIvWixWPzs88//l3/+5+XlZYc7iNjpdF4+f/H3v//98fePtjbekmPlDO9CyAE5EEMwCBgBE6VzAs9EpR0NQF9IfuNpkMDxTpOHUv4xz/sX8Sv0MKA+Z0iP5KfNtD8eM9O59isV6plqa3FXDA8Sda2Qn8UsJK+GiKykiYhi0QCATqv78tnL3//ud+vr6wDcMBCRHMcpl8sPHjz48ssvZ2dn1R5yzjkCMXTriSiVE5MVox6yBrW/M4HHJHLb5/qlEACTnr/ECWSBfn56mXIa6aaPqJjrBpbU8LfiSyE49LVXrVkTgl9VU6tlI+WIvzkkJv6ktHJlFjMRDb9BLnL0YaVS+eqrr/7hH/5hZmbGcSzGWL15/OLV84d//+7vf/9mc+sdgcMMIHCEfBE9D1BlI6IYTq9LnAxxoy65P/qbHRTOZdSNOSJlAY86QUecVqA+1Z4MEeglU0Inh49LyYLE3PRAAMIXiMTQKwQuyne6WxiFhF6vNx89evL113/e3Nw0DIMZ4mSanql89qPPP/3006mpKSk6pNrJCAxwpYzaG7W6WZwGOHz7Gh3pZ0G/ZyaPpbiW46ZqHPyTvRftn4/AMShbU74RsTcRuw+hu0ixItuJTNzpKSEoiz6rnfeU59gp4xsolWp6wiSEaCwuLv785z//8Y+/KJeLnDuMsdpR9YcnTx/+/e+PH3+/v7+LSL7YE7sYkIWhA3Mh3UzMEMA4x51FOsF6AhGJgDFAgOPjxotnzx9993Bra6vRaOSLOWAMEQ3DmJiY+PDDDz///PO5ubl+LzQiXt8hwSl5v+D9nPfVCGqJPxJO6/lCPStP+DS97LpUAkK/9bRqjwuqhAMQuTZ+YTsipec2d3K53Mcf32s2208ePV1fX7e54zgO5/Tm9fovf/nLUqn0T//LvPy5uErKm8qQYRSghg/0twicDAnigJT6BsKXcHRUe/b0h++//357e7vZrOcKeUI0GMtjbma6cu/evfufPpj0lHjJMRwXN9lpNqsDkQujjUCgR6ISErb1a7EkegiA/lk/KIirExMTn332WaNef/z48ebWlrByOo7z/PkPv/wf/7NcnlxcXJT+ElXKnOrmM2QYDAZrMjtNa/2tZr44UJIWISJwUV+FGQYCwO7OzuPvnzx/+sPuzla3283lcowxYIwxnJubu3///t27d0vlMueCqeo7GuUM1aaquMcslmdQCKklQ2TDDb16YWtJWLpldDMRAYo6rJw4qmOJiKHn4ZYSQfk2QruZmZn76quvarXa94+eHBwcIKLt2Haj8fj7R//zF78oFQoLCwsMmeM4ss0B3HwGD+NsJ1LGilu5IzzolY26mx0GAYgYc0/b39371f/81d/+9q1lWYZpigIBjLFCobC8sHjnzp0PP/ogl8+T7UjOGyKX+psYrxz8UTsc1aPSo19dPM1idzKqbdxv0/cwTUx4AOhlVdCRKESDjcTEplHQSKSGBGt9EGeIXEVARLJqjMf1IUJOAO74UqJabNsmhGs3rjuO8+sPPnjy9NH+wVG73TYYHB4e/l//1/81PT39xY+/nJqcAmJC7QcQjl8gjyBKRCDsU8LtTH6mposbzclvXDUNxP1K/zbuSNyoi/uVfq0Mp0Hke0z2syV8lT5LRXIugJi8AOQQEWOiWpkbJQ9Sc3J/6VPyNt6++8UvfvHo0UPOOTMNhwgRDMMolydXVtY+/PDD27dvcyLbtuWuAAAM0YKrjblKGEUtIMOGfnwqyQu1Gu7Blf+Cdlw9orasv8007STPd/23yWuONopQ7Vv42+Sn5gqRqON+YizUjERcpJVAuQcgcgDBzXLCOSKJusUcHED3TGDIOUdAy7KMXP7OnY9arc4v/scvX71+3Ww2DYMMw9je3Pnv//3flldXfvzjLwr5AkibFDgAiGSAyCARfV/DsH72nu+9VoY4SZQGaX4V1yv9uNqTYXi254m42Z1mnQdlGx/L9wleK/K0uFWlP73U08HEZ4BwCKeItUFQdjsvXrz4n//2ixfPnyOSYSAgcsBCrlAul6+uXbv70SfXb9zgnDsOR0SODAAMTb+VIgYAAhXW1L6B359hQtyYT68JxLWjHkk5NtJcSB5Ju9/xXpb6NtLowD2gi2kMZizSQZoPCxGBuQWeGQPOXVORJLG6DFYAUQ3NHWlM7HSQiLrdbrFY/OTj+/t7h//2b/+2s73d7liGaTLGXrx48X/+t3+9ef3WZ599ViwUbdVCJPZEiAkV3DKkxGUTGEmQVnk5DTY2Nr755psXz553LYsYIqJDHBGvXLly994nV65cKZVLohyAVH/lMNWNmllFgOHAAMb86TdjkUutSDKqL2rq5kr9b1xn5Di0OecAppGfm5v7/IvPvvjyy6mpKdu2iajZbK6vv3306MnDhw9393ZJVD+Num6GDEOJIXK7qTMlMn9Q5FQiDm/evPnmL399/fq17TiEyBjjnOfz+Vu3bj148GB5dSWXM0zTdeekmfsZhhUXOVyTK2yGPqv/ZYzJWLPQaWKci9CAXCG/vLz8xRdfPHjwoFAodLtdAKjX6+vr64+/f/Tw4cODwwPGmGmYEDVoM0GTYVxwYktcnOMhWlGU37qMcmXf4X8g6LTar168/utf/7q5uekGeDLinBcKhQ8++ODu3btLS0v5vAlGbDIXlayUIQZnsbYP3d687w2siF+WPxdFDBgDTdAkqDFyeBfLpWvXrn311VcffXTHNNC2bQCoVqsvn794+PDhD0+eHtePRQGQE91chiSMM59IQt1mS5u3e9A7R9SjAWIMAQG6nc7RQXX95fqL5z/s7G7l8nmRI5iI5wr5Dz688+VXP15YXnIcENVCwho8cv8jAQZ1o2G1u+s4zZQb1HRN9vD021SkdzdVU5GScuD7NCJSBiUholuhRpQ1E3wil1XEiLzUEtxNMSe7RG7NPgCibqdlGMbnn3/ebDafP3+5ublJCDZ3rHbz9euXv/3174qF8hdffm4yk+yAPR68SDf3wDCqCnrWgNDn9P7/NOeczCuVIT2SuR6gfVYPJjOJdH+y3lqyhzBhD+DlBUDfbSARmNQAwJABWh17b29v/eWrZ8+e7e7u5vN5xkxEBmAXCoWPP/7oiy8+r0zPcsfjbSsiRggdQxwRgmsUxAkA9NpHpWf5qY305LGyqDebhiUU549NYAeEfqL/M22IgaonJC+9QsHQh4DKO5CUVSkpwPUPE4iqZwgoiiqBg4iMe3JEZi9ylX4HAJjHPxLnCJfvT3/600bj+PmLHw72DxG4xXmz2fzhhx9+86tf53K5H/3oRwAGelcPxKCR4MYiXPxITl4BBrX+J8uU07B+0jBtM8SxQiKfT+Q6E3la5Gvtl5MYBhHK7QISk9NZteC4NiAiZAjEGWPAqd1qb25uv3r+4uWLF7VazcwbzDQRERifmpq6f//+g8/uF8sFiwMAA4M4cEMVVEpwEANUax1CP6vTRe93Tr+LSWYk6SpoGk0j7lppkKD0BiAWV9BYC/o/IcVeBj3aKegyJXxdESfPAVxqkCtEwK/gzNDknLs7cXTcISwtR+TmsCNOxIBz3ul0pmcq//Ef/7Ferz1//vL4uAEAjuMcN+qPHj369a9/beTYRx99DMjA9jqcbnfmjc/LybVMheyhAISD8wEAms3mn/70l7/85S/VatV2HDk3CoVCpVK5ffv2J/fuzc3Ncc6Ra7yhKMZm4ITRMBINLc6Oxd03Bu5mkTp0KLQttFFUrfLyhLg2bds2DOPmzZuffPLJjRs3KpVKLpcTX719+/aXv/zld3//e7fbTVM4Y8gwRIySDOeOlLzxMx8kCanuo05298MHB0d/+MPXf//220a97jiOA0QIzDSKxeLCwsJHH3300cd3p6enOe9toR6pOdsvUoYK6rioxaGv4IITIrmhnmxT+dmXMkoq67De4gUgS6Gjt+84TrFYvHPnzoMHD65evToxUZKR+K9evvzFL37x+PFjy7JOeLcZMowSznbliXTXCSMReTkHEJAxtrW19fvf/Pbx48etVssRxD8AZhqlUmlxcfGjj+++/8EHpVKJSPzW9y9iME1MxmBNgaHTRaVFJpQDSEdf79TfdIiYrhQtJH8bisUJ95O5Bx3HmZycvHv37sf3PllZWSkW827MhG0/fvz4f/yP//H69esT3E6GNBh/O1HIVipsNOKQm7dfHZfkiPMODg7++Lvff/u3b7qWVSgUxJeMsenp6WtXrt66dev69euTkxNuxQF1XCIncEBRtgK1PBIqBIwPuPKnH4w7M/JXkS3HXS4ZLOjhUf9Ojr6WJP3NR96zGDCi0JhLJvKuJeqdIRgewyBCZXc/B6sgMcYqs3PXbtz86OMPb79/q1gsAoBhGIeHh3/+85+//fbbvb09cixQomaininzvCUXLhT1PsS9SvW4+qs0Iy3unMEMngzpkPCmQrSjuPfLPR5HzxGSfMXeb1yd47qq7U5JAADY2tr61a9+9f3Dx9yBfD4vT5ubm7t+/fr1mzdW11YKpbxDgaolooqJgcSAy8pWwv8WqpA4nIiyaKeZZZGrdwihNx76KhmnHxv6r9KsUXFSCQDcmjXe54B7ifXyNqkVM9V4ASFTGBCSTxZwv5MJHZRKZ6J2jBhdBA4yUmWTOwI5cdsx87nl1ZXbt29/eOfulatXzVwOEQ3D2N7a/dOf/vTo0aO9vT3LtnyJhpzA4QAOua1FVT07f6QZaSrixkOctpMe/WpHGdJDf57J7zHybepnCvRcMeJ0krRQqxaquxiXbeqd9vr1m3//939/8fw5IJqmiYgcKG8WFuYWr924fuvWreWVxXw+T7ZjADICAwwhX3TJpc9NuZPquZsZHb+4Ph7ijujfqi80GclLSnodNXTdMFTbUGiX2q+eEHrL6NZrdmufqRLBfdsMgQUu4XsjvD+ZUSt6F8O8wmee8chxnEKhcOXKlfffu/Phhx+urKwwxtBgiLS+/uqPf/zjDz88Pz6uOmRF6Rj6jPOfrTc+M30+FpfluVAIQJHsCcMwbNvudjpv3248e/b03bt3nU6HGBJDYY5fW1t78Nmna2trhmFwL5tMT9peRGDnmJuKQogTwGfR7ImbimhN+mdAIfWoGFwHAlDZQ4GA8yiSWqTHWD+Ncz41NfWTn/zkJz/5ycTEhGjNcZx6vf7ixbOv//D79fV1wzAMZoSuqGEYFo1h6EOGi8U5j4FUl5OSBYIRoOoy4jhOu9l58+b1sydP321u2Nxxk985juD9Pfjs06XlZbURfTqD5gLJcHE4v9376V82CvW+FyKZBarvV45JOc455/Pz8z/72c8+//xz0zRF9RmHO/V684cnT//whz9sbLwdzRQS6TeBGS4P4gxDZwi52odmpc8kQkREhzvV6vGrV6+ePn26s7sLAGAwQuCc53K59z54/969e7Ozs+rGBJUaZ+iV4wzpmT1lTSaKTod+l5ceA89bp/2a8RER8d6Z6a+qNiLKHfRMXaR6u4P/5SE5okM+FDHIV1dX//Ef//HjTz4hIuIcABzHOTo6+v67h3/84x8P9/YNZqiqV1RvsmW8P4ycwO4P0mYJwELsDPltyFLe7XZfv37z7OkPW5ubteMjrwUOjPJm7vq1m59/9sXS8qrFyXEAkYARgEj3GB0EJGLvvX9onsERQxoru35+ZAuRLcf9SoX01sp/xvUtPc7KlkwQzSETC2skL0U4i9wEEET6/agLq2enN0jrPyISAjDX3t/pdHK53P3PPv3yyy8XFuYAABgCApHz5s2bX/3qV08fP1FDA0SvXAXE9xWIWTMM6waL9xKcxu+aZiRkYubscIKZ2NMznDwqQl7BCA6Lu8prIHKIHE+yGIiG6ukFL22E9K0J/bvd7Lx69erls+dbWxvHx1UiBxGBIQOjmC+99/6dTx98PjMzZ3HgnCOSIG2Imc6AM+DyKujxVYfVWhTxXnTtTTmS/PaTeXw6EyTuV+lZQiklmvpV5FhKvov+eJqq+hDh1afQ/30QKamJvKvLq6IsY6R4fQGAMUbAhHzxhxkxBEMIF/FfIup2u+XJiR99+cXnP/q0Uql4rRkA8Pz5y1/98t9fvXpF5CCQvFMGgKLeDbHh4BP1RKSUiZM+p9FG4v4ynB79Gv56PvmEOc76vRwRAXBROjPqK5e+4TVJkjkOxBCYgViv118+f/Hm1eu9/Z1mqw7eDoUxVp6c+PDO3U8+vl+emHIcUAkdiMQIDEDB9RPsdXERJC4ZiOpyg2OwpwHof56eRtboTck+qJ3puYb05jmq+19QxpU8qafaEMkXk7/i3pcEJBishCRLnqkcIrcnxFzB4cUyIyJgtKkIEREMBMOQl+O827Vn5uZ/8tOf3rt3b2KiJDtn2/ajR49+86vfbmxsAXBhFxM0DuAUfoaUraL9YcyfV4j3EWAUaZOEISMiy7L+8qc///VPfz4+PmZMJHMEQsjlcpVK5caNGx999NHCwoIM+wTPEh9a070Lny3xZIwwvENRHTMDRKQNXt1kphw2cYyDkMuXiHK53PLy8vvvv//+++8vLy/mDFMUvH/37t1vf/Obp0+fijo1kR3waHjZYBbITEVDgjQv4pRrSy+vnRKoryLEy5Py4vj4+Ovf/+Hbb75pt1qMMZGZCBGLxeLs7Ozt27fv3LlTqVQ4j84QkXxw+KF3e0RvZCBQVBKd5jMAmSiWbfHZ87L63yKi2EMII5EuSuL+G7oEeKEBxWLxxo0bH7z/4c2bN2dmpr0sRfjq1avf//6PL1++7HQ6oVsbqbd/Gg9EhqECU/47dEjQNiO/kgQKREDAvZ3d3/72t99//73VddALfWCMFYvl2dnZ9957770P3p+YmOBcpagHE3QEZ2WqSTr+KTXOAX0sL8mDhCg6c+4A19tARHOvLVL0Rtij9kQ4vxVemwDn3ObO9PS00JFu3LgxNTUBHkf78ePHv/vd7zbevuPEQRqJtF3MiW/2MmNIV8kBITzlhN2GgMm8Leq3BISItaPq93//7uHDR+1228zlBBGJgVGZmrl69er1G1dXVpeKRZMRRx7IQyT9b/7llCo3cbySUYPO4DhZC5HOlkgfb7Kv9aw9bIHrnmCVQe0v8C2FsxL28KkGPb0g9HstzygAoMFC7XDOEXGyNLmysvbgwYM7d+4UCjnxq1qt9uTp06dPn25svG21G3Kllmwmj3nHCfnw+Y368t5Ar3GrjrqUberO5GwvMRCkYY7oRyKXlJ4sFRUhVkgiojjMwYh95TgAAOzv7//1r3998vgH2+Ki5r1Q6WZmpq9du3Lt+pXFpblCwUDuqP4MYsRlARoln4uXO2acJMtpzk8/cxO8/QkMjsgjoV/pK0AyHySZPNsbAcmCof+HTiW3qhlDkV2Ige/1BTHYpMtXGo+QI3OHIgcgRJmHUb0Hm3PDyE1NTV2/fv3Bgwe3bt0yDCRyAPjR0dHTp09fPHu+tbHZaneEr1iMaSC/Jre+txliJA8D/XOGi0Uc1yNhVvaU4zp/MLkFFvzc99gQsykiP5HCWgWAra2dv/7pry9fvgQAw8gBgEPcMHJzc3PXrl27em1tfr6Sz5uiNZV/4eYjUzKIqVdxoeifAbkTxykaAeEUt87HzeW4FV4/0nMUpWwnfMSzzjviL6S1+nEwwfaJkPohbao7l6ioCN9U1IsNqtqDpIgK7pcjrUjI1ZgGIjJNc2Zm5tbtG59++umVK1dclobD93Z3Hz9+/OLFi93d3W63ayBEauOePyZbmfvAGD8prho4FUoRIEYYVoVJstPpbGxsvXq1vrm52bUsMBgBcAeIaHl5+cGDB1euXAGvWLjK10gT55ntHeMxpJPWe8kUsnMPuP0YPoL4kgX/GXkaKINQJS8Ie7w6ESzLmp6e/tnPfvbVV18VCwXZnOM4L1++/P3vf//27VvGmMGM0FUumSU+va0nm9ZnjbNlA50CUlf2KsYkFiZjjNmO3Wq1NjY2Xrx4sbW1ZTtdMBiim/zu2rVrn37+2eLiIrhyypcvEEwNc2Z3dOY4MTEzxAUeMvQYYwk9V0XMWfRMypeEFBKRFZTimESGIpJAHd4ABiIRWZazuLj4T//0T59++qmsegYAlmU9efLkj3/84/b2NmOMsXB/qFddniFASFFJY4bOkOEkiFwxFAdexJKCiLbNa7X627dvX758ubd3YBNnzM1MJJLf3b9/f25uDiB2l67OwYDrcegchCONAa8YoZGgJkJJc/zEwP4HRmgDHrepURUnySoS+3Tbtq9euf7P//zPH330kdCdCIEAWq3Ww4cP//THr6uHR4hojF4ivCHFJXqObm0OxRTvVYoEAEBAx3Hevdt8/vz57u5uvV4XWRiRESA3zPzK2uq9B/dXr6xErKGqL06BGLtKB0Y9iFcijZ827njCDpxF/elf6VfR3cIDJ3f0yERweu02yHHjwmskkDRLkQNysfrLZdcfh8REZTQAEFXSLMsqlUp3P/n43oP7C4vL5Gse+Pr169/95revX76S/SE3FVHIR0EwjGajZK9gst9PPTPun3HXihy0l2hdHTQiH3ukn1ZnfqVsrSfSjBCZrCFwJqFQtAEJVK6E2K5329b6+tsXL17s7O812w2Hc0Qk5EhQyOWvXr927969xYVlhwMEuKgOIFf7pPMQVckyHO7b4WLVBdernhkfUq4YyYikGfrjRzrz+2+5P6hjQ2cicHBI7hg1vmqAVeSxjcSY9zeWXh4TscO0bXuqMvPZZz/6+OOPZyoV90yGnPPnz1/+9re/39x8Bx77gYgcRaAMn1jRkaCH6EjPSRmu+XL5oCuQaWa9qtOexxskZIQBqjgSQ2IAwBgzDGy26q9evnz98tX+/n6r1eKcy9ldLBZv37798Sf3pysVIuCOWz0z0msO3o7J+2xg1JgP7GjiBM+QbnuStwlx6//JNL3IM08gU5QnH9hs6nurAWmhWhRMAqsocfSHOxMmrpJ/X5K1Kr9F8DM/cs5tmy8sLHz2o8/vfPThVGUaPCpTt9t9+PDhH//4x/39fSIkYFHR3AAeL29conzOHGO7n4lTOKRjTXVeMWQAYHetRw+//+tf/1qr1UzTdDyDPWMsn8+vra19fO/uysoKADgO1x1fqj1+pF2+54lBu4fjxnPf8lt1XxM4RCTSCsbhNJ0WfIS+KEuoABSuQSCfupZyAsAteLG4uHjz+o0PP/xwdXVVmurfvHn3hz/84dWrV7bdhaDiHrrBUdDmT4mUBqMMlxQJU0Bwi8DbNrufAQGg1Wp989e/ffvtt51mSyS/4+AwxkzTLJVK169f/+STT+YW5onA4Ry05AKSneEbhWHEZM2JhaP6wxOsuupFI3+rHhw4a0ntuX7RuIPq8VMKGiI/S1GariZ5esWfQmL1GFEuh5tzXiwWV6+s3b516/3335+fnxc/5Jw/f/7866+/3ny3IXKpIgT0qASJMzRINgllyDAwJCyV+mIInoipHVX/8qc/P3nyg+M4LGfK84WIuXXr1t27d6enZxyHUzDGU/WaQ8hsNJRmnpHAoPYIkcAg0m9PxEHOOecy13WM1JNRZ2n6E3+PPYW+FCVqJwM/ZChSroueT0xMXbt27b333rt169Z0pUJEgNDtdh89evT111/v7e1FirBhFSvDjpG3E+kWQS9cM+4HBJpewokjQKfTefr06eOHj4+bDTQNqcFMTExcWVu5evXqyspKsVAUvxWWeAn0fMjqn4pUdvcRQxpWURq7e1/PIo02xrR/puGPxH/rUwYiz09rR0h47eGtQtBrxAE4ch6VCcVF0AMsbPBExERqCTAcQhnSjIh5s7Cysvbpp/c/+OA9mSHl+Pj49es3r16tb21sdtpNYMjQ1Lcrbne8uz73gZz6rcV+m8AmiGOoRbaf2Y/OAv36wZJ9aOk9/333jYJsOwGvvob4BwcM5JKo1+uPHj364fEPnY5lGAZ4+QKmp6evXr169erVxaWlYsFw5ZfMQUYeGZYHNCc1/51eg2ZkEfLkJ82yKLVvYAwyrfE4r7K+JkQQDBENr1kn8Y4cdZlK0mTE+armE7MaE/iZI/QsEohGaFSr3l0pWfztBHJg/jj0DUbACNx8QwbLFQvFa9euffrpp9euXQMA4EiE1erx+vr6q1evdra2O622vnlQnnnvez9f6CNk4JzlDGeKOM5I8uuLkxr9SpM4wvvpwWXVcwQ4Oqp99933r56/sG3bMFDYbhlj09PT165cXVtbm5+fyRVNYRWS1c1EAjJkXmUewYdFTsgZIAIQcOrZ25ERPGcxYeM0w2QNJHlnobemfxV3vs5dBfB3x1wMG8Qe+nsc4yaaNxZvDCI98ZxHXJVrvipQ3OhmMSxds6jhCiZihMBMo1wu37hx4/NPH6ytLIvxbNv2/v7+y5evX62/OTo6sKwOC4aeKdbVMM9oTDblZ4ORtxOFBqaq2+lG1rhGxFeN4+abV29evnzZarXUuPr5+fn79+9fv35daPZqqGRo6KtHEJMyAmSAKBdupCFcOccZbmfjCYGAzMv5oCeS6CnQdCISIoJX7lRAjTMnom63Oz09/dOf/vT+/fvCTiTQ6VivXr3661//uru7K0a73w3P8+D+FwAuy8KabQMuNeJUokitKGRU9U8jQoDGcf3V8xfr6+udTgdNQ56zsrLy4MGDtbU1QctARGREHj1QlzKhDyOEXp5VfaK5urX6w5RO1EhpAopikNC91IIm7coQajbUcoKKIo7ri/wAEel6Bc1fHXea2oi4BcdxLNtaWFz8h5/97M6dO+pXnU7n2bNn3377bbVaNQwj4UUM8g7PCVz5b4YMp0KcegzB6FF/6wsEAIeHhy+fPX/37p3jWCIzERExxq5du3bv3j2R/A60KR/SHkdRspwR+pIvOs7yYfrrTJzs0G/kVJcJNRj8wABZ4oZXv7q7NwmnQg0MTvkrjuAoupht25blXLt27ec///nNmzdJYcMdN+pPnjz5/vvHzWYTgxXTQqI/G+UpMcp2oqD7FAHUHZ3IDUSglANQIIrRCJjMIAcajdbm5ubOzk6tVrOsDgB3a9ZwXJhfuvfg/rVr1xiaonVEZMAZuAZR4eyNmAZxA3Fk7O7p0Uekrnz0cg2NW7/Qy/CqH4/6Sdx+Ps6PlD7+PPazkAXCKBP5+0hLfOhIIH+E+FP0ANcfTYwFM6GIseexepga3wsg6Aci8QMD5Aw4Ry5i0YnItu3JycmPPvrogw/vTM9UAAEYAoLjOK9erf/tb9/u7u4jIDPAAGQEMkuF6JH71uLv6CwR6ZdL+Fb9nMw3SXPFfn+b4fTQ52+yb18/6MMbq2nfnRzYPRdsVcoI2QFifUBgjNm2XTuqvn37dmdnr1Y7srjl/kTYidZW73/6YHllBb1CMyj8aUptElQ8vQDadn3oZEockzQNC7U3vDov4v0kWXIjNfWeGnPUeq6vJ+o/Q2dGNygs+DEVZ0Je6FhQcFhi1OfApcEdM8l37X8rPb1KRTNEvzgaolsrLXhfAADMAGTEybYsa2Zu9t69e7dv356YmEDgSByAd7vdZ89e/O1v3x4cHbpNMZfoKu7fnTsMlbjLIbTUxzFSQ9+ehh2ZYbA4vbw+GfMomfEKANEqlK8eB6tbyrnssX6AEBCx2+3u7R1sbGzs7+82Gsc2cWAIwDgHkxk3rl2/9+D+wsICADACWcEQgpIlYIFSPw+beBkY0rDLA+co2xYnUscInZZ43VQLfk94F9Jlbh9jPq7DyZEgqTV/Du4ehIt8i4E9CyO/yp7aJTEgGSEjdyfi8Vsdx+GcLy2t3P/0s2s3bpaKJfD24K1m5/vvv//uu++azXZEn0WqGW84IwB60UFjOsIHgBHf5/QapJEx+b5VXkna8urVq4cPH9ZqNZV5IbCwsHD//v3rN26AGlIQrA6gmy1PeEfjhUgbtrQN9TS3C0+I+qilA/msn3DIiRo6IiFS8Z++M6qzCIJLdkLjoaen9znUIHrBvZzzQqGwemXt+vXra2trE5OT8ifr6+t//vOft7e3AQAhnDzC+4yEblqlU974gJDp1hkGD2mE0GdgnHcubrZ2Op1nz1788PiHVqvFciYw5OAuYoyx1bW1Tz/7bG1tjYhs4qSscnIfrsqsSyJf1Icsbx9jGCgpG+GcS8t+3JIbdyQekQGqYahSI1KaBGHo6/mJ0XPYpLlEpFiJfIDiOU9OTt64dfPmzZsLCwv5QkEYxxzHefbs2d/+9rfDw0MCIOYmRlGd8HEdOJk//AyQiZsMcTi/LZU6XxiyZrP55MmT5z88a1tdNA3phEBEwzCuX79+//79+fl5zknkVxWNyJUhcgW4BILm5O8r+eEkC5eBQ5cf6nUH3gFV8+93IxDqjCqbkjupyhfHcbgDM5W5W7duXbt2bX5+PpfLiW+73e6j7598++23jUbD76TH5EVpew1Lk2xVj8Uo24kiDIAM0RB/AIyi7IOqE8zxZjKRs/7q9aNHj46ODoSbzCFOHIuF8vLSwpWrq6urqxMTJUQEJzCY1IoAollR72bwN3vxSGN3D+Oky5PCCwtmc1DmdnrfTtpsF6EWYry+Cdb6VC2rw1aG/kay3vyfaKtquDdqfiL3PC4s9OTlm3Dt8W5HCRjmDHN5cenuhx+trayi5yHZ3d1+8eLVxsZGs9XkxL3jJD9wIA7kJt2gvvLcXSBOxiSKOzPz+p4nkp9/wrvoyQI77ZsVGRzE5zimD5IbOf/8+fPHjx8L3YWIRCaXyfLE2srq1StXlpaWSqUCgYMcmV9PyuMLhnI6nqi3Q4b+OBcxciTNEwh7g3u1Kb4yYlaM9HwoneMWtwrpf3HnR4OUv/ieoUx0pedPTGOCkRLK1XOYp9kr+U1EhU3ghASGkSsWy2trKx9++MHi4iJ5IWlb27vPX77Y3t2xbEtsWYU/N8SZVfYe4jnwntk0Lg6h9y4Pxp2T3M5Iz+uxRCSXMI5LkvK9K8c1FUrVBvUahcLS7TGMOAMCgHa7/eTJk2fPnrXbbZCaM2J5YmJpZXltbW15ebFYLqgzXfA4JDcQUi+PI4hIVrL8EL22e88qva6YauaSn9kwbuXXkaYP0ZJOyjJEDLXTm1cLYQ0/DYM1Duq1AyMNDL8uc7Jf3EtR5MZJGDAxMXHt2rX377w3M1cRt2NZ1tu3b5+/eLW7v0cAHJyQDwMAxLOKMhVla28ERtlOlIi43EDklYF0hwhjBMA5X19ff/jw4WGtykWxWM4551NTUx988MHNmzcnJifD7Xg7Z3VYD42/6yKR7BKUEFNX5XbpZmb5pnRPI2kY+I2o5j/dlar0YRDXAtQzE0V2BqKeVeRB9NgK8r/qaZxzx3Eqlcrnn3723nvvyYRcnU5nZ2fr3bt3W1tbrVZLvfFseGcYX0SIQoz7Qp4QPyFCk8WynOfPnz958qRer4tAG4c4AMzOzn7wwQdXr14tFovJ/RsPrV3R0nqcRl7KfBFf1q/LIfT8Q75WogA/K74DaXD6eJZBIqHTqm8ZMUnc6D9UpSFo8ijQAUFwYIxzbtv24uLij370oyvXropITM55u9Xa3d199+7dzs5Wt9tWq/iFGhlliTNEQyLD2CByXRITp91u//Dk6YsXLzodN30v5xwRl5aWPvzww+XVlUKhoNbHjNMY9c/jix6TFKMgv0p/GfWtXeyaFuq2YLaeoEuq7BA7l2QvReTjCjxPRvpx/WmrUhsRbdu2LOvKlStffPHF8rKbzdpxnEa9vrW1tbm5WTs+chwnop2AVz5bq3tguB/Q6RKfRKpBghARmrTVWv3txrs3797Wmw1C4ESciIimp6fvfPTh9evXRa5fZgCgG8eoDlx1DrAxZRPFI0X0dTx6rrYeOyz91eM4AmqGmn69dsn3pbo9w70So0UfyMl2egI3v4lyftgqFPk5fNDLMaFLAs5517Zm5mYffHb/1q1bjDEA91G3Ou03794+e/asVquBwYgF1PeApQwD9NNzj0JL44eJw8lyDQzXnjCDglTvBf1SfXFpj1jw/LicL56PjgCJIbFQ5ggZAM8BCaBarb55u/F2c6PZaUtfhUN8dn7u7icfr66tGYbhdijADWToMSykhWWIWRXJYODncUvDETuVW09ZFZkuQVj0YGGe6zV5LPXVsQH7oiMRGqI9uUURLcTby/TTdA8KIqr5JkCGBnC+vLz82WefXb16VfGiQ7PZXH/1+sWLF81mU3iLQLENiTOJEBB5mFU0nEiTaiROUzo5jyzDSaFrg+px/czkduLQ+z2KKoGBI4n1EPXrEjKHAAD29w7fvHm9ufmua3cIORFxzhFgeWnp7t27S0tLiAwBCByZd8wh4gDAMI7JfglwwrmmLIxnMXNPtqtK1RPUWEU9oUqTyL1MHFQpHHlF9zFKUjYGKu6BJpiIIVdCxhzHIaJr1659/vnnS0tLfpuIx/Xq65ev1tfXu92uaIeAcZkbV+hsvbqn4FLzjIZbGp06oCW0uyYiNS5RGN3b7e7W1tb29vbBwYEYUuAN30ql8tFHH129ejWhxhkoS8blsMGnQgIJKHSm7tPQH3LIkJ9g5j+Luwj1JPLzgK+rKfmhI8m9wmAKDP004UMQfKKPP/74xo1r+XwePAUdEd++ffvw4cPDw0PxiwSHQ6BjI+z+7QuZHj9UuJjXofshZEoIeUSwKhqN1tbmzs7OztHRkeV0BUcGgSPB/Pz83bt3V1dXhSssvMop8ym0Rc+QgDSiIeFJJv5wSJXFUw4LhOhbTn8kfJy5lNXFxcVPPvnk6tWrIn+EECWc89evXz959LhZr7sjPUoxIBFYM3Ri5ZSrTSY7LjliB0DKoa7qpaJIwuFhdXtra3t3p1Y/lgQK8opp3r17d2FhwatYCzKlphCcwze/hgLJkQpxG5CEg/rneJytSqN3byDNCtEY6dKOfIzqwYRnGKf5iC0MEa2urt67d295edk/jcjuWs+fP3/+/Hmn04m8etRdZytzNIb9uSR4xqKOazY/ryiAH9+rjBgDEDjf2tx88fz5/u6eY9my+Dci5nO5udnZW7durayuIqIszxdxlbGyx5+MSaEwaDQTT+TnE0ByixTPpO4LSogbD2EAnt6YRT+alRBiDIXGdk8PcJyACT1hkSfCHedeHK//RwyICfmHxIr50uz83NLK8tLSkpFz+8wdeP3qzcPvHh3sHwXa9wKDibtLf2D9RQA2JNMgjmeUzGJIf06Gs0MaD23Ibxb6VvUVq8f1FlKLvxhCoKsDBZOLCb6qq9wAOhZ/9/bti+fPq0dHNrdUEVMo5hYXF2/dvr24uIiIwIF5vCR0yyOQyzHyVaXhtFGmzROEKG8q/TtikDoQyc3ckbKwVxS85S49j0C/lzS/0hHXAgfgafhBcVImhMjb13vWU1iH5YIioUTkPpHDkZcmJpdWVpeXF+fm5phhEAAw6na7z549e/z4af24aYA7qh0QgsXvJwPUfA9DshpHLiPqkQT2kEACb2VI7nGMESfl+11dT6wteI7ngIU3/Fu90hkSR+KBqBlk3W73zZs3L1++rNeboj6w+JYxVigUlpaWbt2+PTM7SwCcNHVRljmLUNSHU9acDLpukFZm9WrT/SwqD4SO92+D0zWTOI5b+rEXdzzt+42LexBQiVWRQTy9932kL4/RDgkDyWTBaB6CycnJpaWVpaWVmZkZ+VWr1Xr+/PnL56+6bQtdzqpD4Ij8quIv/u3ou8hxmgt9Y6jvvK8Zppt+I3OwhwYfEb19+/a77747ODgwDEO6tnKmOTk5ubg4v7q6WioVGGOcBwIjB26LHSfoBnWBnuq7foLOSzpP70c62/9FIvTQdCNd8i0wBjnDnJ+fv3Hj2tzcnGjItu2NjY0ffvjh8PAQeeCBS2Jd4I0M7G7OB+mNgxky9EB4idPqaDiO8/Lly0ePHh0fHxuGIc7hQHkzNzMzs7S0tLy8nM+bGKRUiE0yob8EDflCdBboS3yEfhJWBoISRLJa+pQm3Fs9hlpxgqAqH7Zwph5IcWfKMRlZ61MOVyJiBAxZqVRaXFy8enVtampKPPBut/v69etnz54dVQ/Eq3C7qr21lF0dNWTC5XJi8BZABtDpdJ4/e/bDDz90Oh3DMBxyl7VCoTAzM7O8vLyyslIo5EJroDASCQzQmzvcOI91O7RnOekiNqiuDsVSkyBK3E/U+34lNYmUujqIaCArl8srKytXrl2dnJwkImSs3W6/fv369evXXlp3zT4w8inwzg/mRXcgCQm6jgQXmaldvYTJHyFwcFknXjhAID7Gr0m8sbHx9Mmzw6MaAUMkwf8vl8s3bly7cuVKqVTy+4NIXhE1N/2E+I8oC4WMzr5e+9mDg+vf049HgiV+GwDGpEwTnnOPCQtxSySRCKvWU6/5Vw+mouAJrfUD9R5Dlv7QOdHXFX095chIJE9yAJKOdLmGBs4Eg4gA3XRFiCgSxALAbGXmg/fe39zc3N/fBwACp1o73N7a2tvbOz4+LpbywEw3OYooS4AARIb0HrszTfYEhn4fxXr1U3Xtxr1x2VSGASLueaZ5zuo7jXu/vcenOm0w8D/tTDHd1JyOBAjIMVAp9s2bN0+fPj4+rgrNHIkB4NTU1I0bN1ZXV4vFIgqBBYCIHAARmdcqoeyznqZteMbeaXrizym1xKRqHQta0BztuuqsdN9vgiAOms65SLsc2Z9gG6prkcfccpxEOAECl0C1V+naF6eR8l+tBUBAMVCZFFKKoc0TE36Ei9CO5GnuP5EDECjpHogYAUdBggDOgBbnF96//d7+XrVarQIRt52jg+rW1tbBwUGjWc+ZBYMx4uQx5pDAK9bp/TfNI7to6NIhbjyo4zZOpoyEJB1RJEuK5Geu/yp51qtnhtcZkZxIzmgZ5i+qZPqQBh3D5JyDMiUBwLH4yxevnz97KQuPEBEyY2Zm7vbNW0tLSyLkE5nPL2QxGdriJ9rYjEOdgwOR7xQRomRuNCLXKNWuAcGlVTVzBBtJYLiErwgAiMnvJW5flmbExn2r9CHmuBQr6j/DuzbkKJ1qfn6iQH0JRJQSB5ATiLyQxGTABHBEEwAMhJWVlffee+/woFo7rgGiZVkbGxvvNrZa7a7XDcMTMeDKF38Tn7BHy9bh0b95IorkDSVDTk7Hcba3t1+8eFGr1QC5NAOXy+Xbt29fvX6NmQECUTI7Y0S0mdHGBT3kNAzVWOhczWSkr0TjISJXqxirMlERBEevEFGcc+44MzMzH9x5T8T3gli7iWq12u7Ozs7uVrfbjTQ8RR4ZHaSME8mQoT+EJkW3293Y2Hj16lWj1USlvMhUZfr9999fWV2VitGl5Q1JyHvXeZEJ/+xXjYm7SiLOORRoYNdSjfcJSCBf69ub0AmRPyEikSjUcRyRpejOnTtz8zPgeXEd7lSr1Z2t7f39Xdu2VWpSiFh3mWdEhgwqdE4EAnQ6nfU3r9bfvGq326ptYm5u7oMPPlhcXAy7DPtP2ZYhGX09uvN9/hevxErhEicvYn/YK/OvOG7bNud8bWX5gw8+qFQq4qtut1ur1fb29mq1GkiXhm9fy4Z6HxgZO5G+0xZHDGSyskzANAuMPFOrmp8odGa1Wt3b29vd2253mgCckBNyznmpVLpx8/bVq1dN0+QAag0asfc+g1scckTkjNC+FUhSqSPnZ0/fr4q4vsVXRuO9/hKgB6lGRq6GTk6yQag5I1D5C9y1T89RDibaKCFyNyXqnRHznb2BXBIG59x2nJnZ6Tt37nj1AnwT6ubm5pvX651OxzAYomEoxSsNb7tLXvnqYF8uNsNC3MtN/8YFLnVM8ojgbN9Rcl4YrzwWgGSbIwBDBsi8/LvVanVnZ2fvYL/T6RA4gJwjJ3Cmpqdvv/feyuqSYcppe+JsF0OI6J57a5SeLcK9956rnFztBfHEO99f05Q8EYHrxhx0z0+UMj29smp6hQQ5GDdW9XWJhdr06iLFyd8eiDwbPUHja1An47wSQ/CfuW8qQiAETjaBs7A49+GHH87PzgFwdysL0Ol03r59++7N2263K9wZsoWALifI4Rfsk1BfkK5CpNeLkhWPTPqcNXQNTV2L4pD8Lk72LQNgcR7EYN3uaAhrLBEdHOxt724dHO1bVkcQUoR1dXZ29tZ7NxcW5oK/8+/Um2WjK2VOBn0MpH8Cvc/0ZIifWzBOqEUdTF7h/eNR7y7yV5HrT8L5Eddyrxggoob/Bg396gaCwUXBWhQbGlfuc84RcXV19c77H0xPTYBIxAUMgLVbje2tjf39fc45M0BW+tMh7iIYnpatwC4u6VMQc6zZau7s7Ozv7zebTcvqyMks+ETXrl1bXlkxWC7AoIshVmS4EPTaVKQc3qeXkb0ulCYN6WkQrEkMQZ+5fEoYTCpBCETIOZ+enr5x8+bS0pJhGJLSzDnf2Nh4+fJlvV43vBCMcTHDXyqtKMOpkDzi42YEY4yIjuvH29vbh4eHzWZTlqER2v3U1NT169cXlpYAgJ/t6pDhJIh5swOMLEtu/FQ4a4EDQRdO6DiAn29C5Kaen5+/ffv2/Pw8KB5dy7LerL9af/2622mNsmC5pFr0aGLE937cD1kScaCHh4fb29vVarXdbvtBOgAAMDMzc+PGjbm5OS03C0CUJ/JSYoQHw6m18TNUg9O7HOI2cW4KrfgtnrTpCDvR4uLizZs3JZ9I/Krdbq+vr29ubjqOI5I9nuRmLj1GbJKkt18ihDlE4A4sB5GED+1w/+j1y/VqtQoAwFBUa0JEAF4uF9eurCwvLxuGwciPqyQiQh5qmrCPqlVjjd5smtMhYE0XbwrCNXQiTeaRfoPIfuoe4NC3cbyqRD9AzJAl5U894v5I48FFNaFUNFN/xQMJuVRTkTqYRcrDifLU2trV+fn5YrEIyIW53rI66+uvfnj+rNlsEgHzaswJ1zYJkz4BA0RimCIL3TlCf0f6m1KRhlx22XxuowXd269/FuhvdUqvVnhVabifWoLY7s7+69evG42GgX5YjZiMk1Plq9fWFucWGZrEkRMKNquYU4E+uEzJYWPtJSP6OQf3K8n8mgB0q4SqQPZyGCS1rH2r8pXieKP6D/X2k9lhcStS9Og9vc82TQtxIfzqs5Wf9a0nInIEJ9gI55w4Tldmr1y7OjM3a+RMAOZwAIB2u/3y5csXL150u10AUUjTvV+HEEi8iLQj5IwRJ+sjHfg9uUXJGOZ5Pa6IY37FnXMyNkoyOJFD5Gh8HwC/QgID7nn7gBzH2djaXH/zrt1sMX+NJHFCpVK5cu1qZXYGwC8byAAVEZO0D780SNAS45iDAqfRNPSW4/iGyStJsjabfGZkt9N8FUDcnveE7FTRJnJgwVaRA3IDUPwxcscuITjEEY35+cUr165Oz1SEqBNmplaj+fz58/X1dcfTyhA4eIlZs5U2JYZqd3e20NWavb29ly9fHh0doRJKxhibLE9MT08vLCzkcgZjTPxOmOrRS9x7rl3PMDD0XLsjfzK8iJPxKoEo7mRxt0RkmmZlanpubs4tXUyEiKLq2atXr6rVKuLpfRejjmROb4YxhLchPvHv+fb2tmDkocFkikqTGVMTkzMzM7Ozs4aB4AmXSxM5f1GzZuAaYV82x9HWR/VhKUWMZrxTd55uaQXTMGdmZubn52dmZqSI6XQ6b968WV9frzcboDxN35MBgFoBwQwZLglCibrkZzm/HMfZeLf16tWrdrvtFtMk4pzncsbkZHl2tjI3N8cYE6lXAdz01dpcvmxqzIhzygYGaSU5K9l0AlORvmfpacoUfKJcLjc7Ozs3Nzc5NWWYJgAwxhqNxvMfnokJIk6OyLLabxcvH4a63plAXB5y/Ti5FhwOAAhIKCkV6qLAiAAQGGMHBwfCTsQYE6nPiWO+WFxeXFhZWcnn8wCAwIkIveB5Igo6uDgiIhgJ/RxliOUjbklN3jbrbthkpDlN7KZUC4j/q9S7rAS3cJo7TX4m4ZaD9Sx8xI3nwDlR5eHUgx6jKtYJTIRABF5yBz8nKBkAssSSAcAQ+dzM7PXr1+vHzcPDQwJwHGdvb+/tm42jw1rHthARAYmAmAFujgmOiAQUrHQ2nEjuW+S4TT4twzlDn3dMOZ7+t73nL4bOiV9R1CS7QtaIpHjiMyLu7G69fPmyVqsBcMFXJaJisbi6urq4sJwzCwiAojIUAvXOyzPyIEIA+dD0d5FmdT0Z0sijNBItbtTF3Utyf/TxHH31VNqFcpJ65ml0El0GuRX93Cpp6DKsgYRBhxEDQHL9CiJhl1CemGHkFhcXr1y7ZnWdWq2GiJblbO/svdvYqlarnLhQ90VJGkaCAcU5IFLcLZzdaDkLxI2HtOtShotAGk2v5wrG07xlAkYagdzNeSemHBEiJz8DAOOcb21uvn3zptVqMcaAIQEgYqlUWltbm5ubM00TJfGCEDgRMnDDn0EsGUTEWNrCXuMIHv8G495asjaSZhYPdqbrfU6DuPOTWtAlESrHdaDvbvM3aD33NaENi7/LRkfsPMSJbk5Iz5CUz+eXl5fXrl5/+/Ztq94wDaPZbD5//vzl8xe1o+r8/DwRGUaOc+6FADHRMQJggEDgpbhVzWfZmjymjyBUlg9iMgrt7+8LugQpdQpzudzKysraymqxWIRejIwMKTBg88HpXsGIDfiBjDfGWFzVM/9CAHNzczev35iZmRH1zjjnrVbr4OBgZ2fn4OBAlKQB1+YUeIwj5e898QAYsZGT4XyQMPgdx9nZ2VlfX6/X64KyKtQaYSdaXloyTd9Pc5kkywVOpQukMg2FGb3f+LXI4R2p5Yf+qR4RdDkGOD8/f+vGjampKZECgHNer9f3Dw+2t7ePjo44t/UKIWNR7yyTHRkGAJSVvL2NtGVZm5ub6+vrrp3InZtscnLyyura/Py8EV83XebJHv35dRoMZlnuSwceKYV58IgjGcVRViHuiXnJLuRpBrKlpaUbV6+Vy2Xxk47V3d3dffv27du3bw8PD1Xidob0GAEBFqfZiOOh6lEMkIEBJHOmhBmGckhxDgcHe69fv6xWq4gIxGwOnPNCobCysrKysmKaJgZ/ElB9wCHkahaD02cQGD70y8+Mi+vWzznZb93+RAq28wq0TvNM/GhnfVSoR/T8RCGEVjTxdBJuE70qM269DOTIAmSi4Bh2/8+5bTtOpVK5efP63GzFi2VnAKzdab55+3rj7Vur02GGF2sAwAgMMIIZlIaZzRuxFPQ6M/SX4WIR9xbi3lfcG4xuhwJ/IgdX9KwMZBPzqtL4rjAlP5Ft27s7+2/evGk2m4wx4CRSsJRKpStXriwtLZmG78UlIj0zkfwKAPrPgDA8CPU8ZeYF/bcJMiIhv0Ncy/0ibhSpYyz56r3HYRxSaRd9qiCxeSWCefG0aGVSKzGF3A/ISBTFRME1dbhn6OEAfHF+7taN61PTE4Dcuzpr1FuvXr16+/atbXOGDAAckf5O+IopfEUFozL+4cTrUoaLQHq5n2YFg8i3rM8+b/+CIVKRmI+q8ibzVdu2vbW1tbm52W13GGMu54JocnL6ypUr8/PzquFV1uJEAgBO5HBup9C6xxV6Bh+B5CPR8khWN0uDE+1TkkejLn3i3mnc+hM6OfZekvfj6rdxZxKETf8cwPGYQaDtetydCyOZg5WY2N8jB6Y2hYgrKyvXb1ydLBfB2/VYjr2zt/vtt9++evXCcRzGQLYjr+/qbBFpOSDdznTMMYaSKSL+MMp8WK1WDw8Pq9Vqp9MB8ItAFfL51StrK2uruVwu4SpjaoM/22jVDP1CaNsSTDme8JM0x32dA4hzTkRzc3O3b9+em5shcsCbNaJ08fr6ervdRsF+jkFmpM+QAZSZdXRYOzg4qNVqlmVJLZ+IysXStStX3fKCUT+MazBDIi61JndKJCSSSLOw9xy6Yme7tLh48+bNqakpt10iAGg2m+vr6+/evbMsC2RIgfgwXOURMmQ4c+g5ieR/Q4E5BHRwcHB4eHh8fGw5tpdSgAHA1MTk1evX5ubmpIE1chZnkmVMoXtl0ghHrn04LRIkR/IWRidnoAJw02WAagYVYcvLy8s3btyYmJgQRwRr9eDg4NGjR69fv3YcS79072JBAJdcuxiB/EQ61Ncaio0kCHueRHyvPMFAxoEf15tv3707PKyK8HdhDDYAOFGhUFhdXV1ZWcnlcgTAgUQYm7yYDGZFGkMGUf9QJ0+cVpd+gjHl/JPoiCGbtPwcUzYlsof6mfq3ceeneRpJCAwoAvBqObph6kFTERFxANIOBhqU1E3tW+Z+azgExPns7Ox77703OzsLCABcnNftdjc2Nt68eSPywCG6c8kBRCDD7ZLPDvWe8+VdUjOMIuJi7OOi8d3PIieRos0jMkTmcKpVjzfevTuu1QSlQiRtERDJIxYXF6WWE6UzcfCUoXGaTWFfeTTisv/oR+IoZunbj1u90zeb5u0ky5T01xokQqNaZh3yeoAg9J/Qr5RYADcKBjDaFcyQc86QkDGHOCEsLM3funXLL10MAIxa7cab9Xcb77Zs21YugSKPFSXlJ8qQYbShyhdS9i/ejsOdWQpfFRARGFqWVT063ni31Ww2XQ0RAUUlWsLJycmrV6/PzS9CoDX/ukgMNIJ5hhRIszKnWduTs931C+b9N3nr1NeFTpudR0oCHtOKFBksLj2r2H17Q5QxJkw/BiARJyWNETGyucVMXFlZunHjWrlcFKEXgkNXrdV/ePbio4/v2rYtNjfEVKWLgbfhYf5sYIN7OyOPy+iuYchqtdqbN28ODw+DKj4iYqFQWF5eXlxcNMyAEU23QY7jCsuU/2YI4dwtykF6f2RMSgi6kSjkg1JN8gCBQkvT09NXrlyZnZ1lkuaAaFmW4BMJ2h0RAXBEEDtc4qhbpjJkuDxQJYiKg4OD169fHx8fu6d5eSUYYmmivLKyMj8/bxhGwtwZR/lydshCRAeANCKmRwseL1sxJyF4gmZ2Zn5tbW1ysux+BYCIrVZL5ROpDuRMsmTIIOEnEAAkIpF4pdFoQDDZEGNscnJyeWVlZmbG3WwnJn/JcBE4I1GVEPM4AkgTDKTKF7mpAWBExBhbXFy8evWq4BNJNJvNt2/fbm1tNZtNwTCSjacWMZdatRhJPpG6vIUN5cGXrjKJVEdm9ejo9cv1g4MDCOolhoGlUmFubq4yM8OJcy/ThHeOSMfIQkcuN9JMnn7P0X28adlAwkINbtgqD34GiLDl6+2c3zuNE9QUc4JXX0Y94t6z+0Np8fSYDgyZw7i7IIaY/MRAzAtOQFQslebnF2dm5oqFcrPREMuu1XU23m29ef223eyIHxmASAQEDBEQiAMGFJFsRmQYVejzsacSITUVwbwQLTDEg/3916/eHB0dAUP0dBGDgcGMcrm8sLQ4OVl2HIcDABOFNkJEa51JNLpqSr9+uUEyNE/avi4j4qTGyXp11vcYj0jp4pGjmReC5lU0Y+SVy4xMHgFCgpCfqEuwSokIwUAUbAgkhyPAxMTEysrK9PQ0MkYOAABjTIQ2b25utjodDsAI3ClB3uQSVZxkFzNkGH3oQ1lw+gCTIj1dVx8AcNrZ3l5/9abRaMgjoi6zkTMnpiYXF+YmykWbO3omeG8ig7cWjIeU6Rdnd6f9tnwyuaMHlyW4+c+VHSNHm0x0ikposxAX4Z/ECBf1K5GuThzyWEVEaLoJtzgwMCrTkwsLSxMTU0qEGna73cOj/f393cPD/dnKjGEYiCYHYGI3hEJzU20JcbvRS4oxfwSBWF/0je6HR0evXr06ODhQ11CTGXMzs0sLiyJ+Xo+Q9KkZmb5yGXEBFuVTulNDfCL5QaUUqTb1YrE4MzMzPz+fLxTEEcdxDg8P9/b2qtVDhztqayF3VOb7zXCpkEgFUotputm+iCiXy83Ozi4uLkYW08wwTBhT/2GcCyJmJOoKfUqo2VLAnyysVJqYmZmbnZ1l+ZwDBACWZR0cHOzubR9Xq8ImJfR+xWN8si5kyDC2IMLt7e3Xr18LO5F3kIrF4sLCwsLcfLlcjvqVP5cy4XNpcBq71anQ7xCLNGiqnyMjJX2eHSICTE5Ozs7OTk9Pi3qyROQ4TrfbPTo62tjYUOubZ0iJkdeE3EB2SSySKyYCB3IrBWh6RrVafbX+0rMTGQCMO5DLFZaXl1dXV/P5PHm/VasPMDCQGAsssBnd/ayRnMlfrVmgv4s0n/VrJf/pZ8a1cHJgzAqrVn5RqyOpg1yMWLXqmWpZj7siARPEq9nZ2StXrkxNTblJ4Mi2rHa1eri7u1utVjnnhld+1QEA5GpmayLKZkSGcQUpu2y9BlNI0Ozv76+/eVWr1cDN6sWIY6FQWFtZXV5elkUS4rKJBXGZZ1P69eQ0T+ms20/T8rm8ZfSlC2l/gROV8axq5yKwRUgfVTvSFS3XHRE8bprm4uLi8uqVcqGInIAYd6DdalWr1b29vXrtiJONiBz9hNYIHE/rMcmQYbgQN+8izpTlaxkCGgSuArazu/v6zat6vS4yFhECcCoXS1dWVxYXFw3DoNAs1uppKkT7DOeANJkr4vYUyWeqnyOvErlzidvdwMDlUcJoT7INBfc4/ugV+w7kgJx7GxAkd2+Yy+UWFxeXlldz+aIbYoYcAOq14zev3+4f7IowC9bbVHqpc1erGBPtU91Xu1tib310KdPkfwUAtVptY2OjVqupW2gxvFZWVkqlEippRwMXysyQF4MxGainQTJhJ8HcHtdapGG+UqlcWVsrl8ug8Iza7fb29vbu7rZtd1n2KjJkSJyPtu0cHh5ubGyozl4AKOTyKysrS0tL+Xxe/1UmXDKMHELZIkAbxkQYZDHgwsLClZXVUqlEXj0aAGgc1zc3N/f29ohIiJhsNmS4bAglTIlLfgcAXcva39/f3t4WiSPlaaVSaW11dWF+VpApeqUlyrbBF4VLbYMQETlxcTkJlqPQcR/KBt80zYWFheXl5UKhwDmXOViPj4/fvXt3sH8k8xNlSIlLsecTW2JpjLRsq1ar7e/tiaRWcmudy+WWlpaEncj9YchjHBivl9nHeyEIPW2VSaQf1z/HQecoDQtU66dHqkSM8Ai57DlxROccSVYdkvDN8qiQdQLgxO1KZWp1dXlyogTAgRziCADdbndra2Nna5vbDoFrnmcU7EMWHpBh7KDyVQPeCFAYFgRI7vjnQATQbLWOqtWDgwO/SiAAABSL5dXVK8vLy5F2oiDi1rfRReK9pHGsnwnG6Qn3B4RY4ioE4/QFfAHJSfAXCD3BRJGmIiZEFvkpVzgAn61Mr60ul0slUNwVnU5n893Gwd4+OW7VM84DA4IyTlGGMQIqf5G6kx9No+pvjAA5ATSbzaOjo+rRUbfbVkIesFwur66uLiwsGIaBAC7PiCGwQLaBKFzelfC8kCamQd+JxO1Q4jSE4XqPQa3J/xNxOa7BSBuZrvEH/QIgIXmEXl5IAwygACvKQFhaWBSsbe4AcQROwKnRaG1sbBweHobsRLqki3q2w7hDPDcM0Xg6FTQtM5oFTWDZ1t7eXq1adRxHRNa4DRDlcsby8vLa2poMCoBgHYGzvIEMaaAviJcFEdwfZQ31DyqV+6I4xi5EVRp1dRZ+XUScqVRWVpYmJibU8zudzvb29u7urqgrqcYgqJ8HdK8ZMgw7RN4W1f3LPHS6nd3d3VqtJkQM+LlaqFAorKwsLS8vm14xzZ4BoRkynDV6Dj5VrPi/Uocui2AVie2rN0dcYc2Q5ubmVlaWSqUCKDvkZrO5ubm5v78v6jQYnh0WMZsdGcYccUpUXLGnVquzu7vbbDQ4t0Nzs1wur66tLSwsMC8/wDn0P0OG0yNynQ9NDfW/YoRrNiZuGMb8/OzS8kKhUJAaGiI2Go3t7d1q9fhS7RwHgpGsdxYBbYCp3idCAM+e3qwfb21tHR4eAoik6Y77e3LcuLPVcFAAoQyMTFN7a9TBUuiNF4g0WSTSn5zynGEBuv9FrphFRYUMAC8VkaYYoPToIoqKqqplXMwOJFG6mFcqU1euXJmcLLsaBnIA6Ha729u727t7luUAABIjII5guGZU11eMiEqJgwwZxgT6gugGNQOArHlPgAw58Xq9vr211ajXpQZD5DA0OPBSqSDizoSv120KEcgnVlzSJIuX4o6T9YeL1y7Uii/uCFfei+gZCkoriWpobtVtQledEvJFOHs5AjFE8iUScRsRZucqK6tLpVIJgAMYiAjAW63W9vb2wcGR8PUSEQMUKYoMOb8w1JcMGUYPqoIWIVmU2iPAlDokBADAADmn6tHR1uZmo1UHhuAIa6yrmAk+0dz8vOom1HVCD+M3j0b9jvT+x93RKN1p0PypH1K+VPQfBigrKbhVNZVCOq6gAQ5AIqEwEQERQ5yfn19YWCgUc4CcwOFgMIRWqyWzrAb7hgQESASEbp1ZHaP0tAeO8b/5kLmx2Wxub2/XajUZtQieeVLYiRaXVnKFvKwFC4EoyvF/XMOKS83606EqAQT+whpJLVZTWavep9BBQa+rzM6sra1NTk76v0fsdru7u7t7e3uWFxTgtkyg+Kuy2ZHhckGfawzw+Ph4c3Pz+PiYiAC46tHN5XLLy8uLi/OmaeoZrFVhlCHDxcITDyhDLEmBeqZqS6KAPODu+PeqnnHOGWMLC/Nra2uCTwQej7Xdbm9tbe3v70cmjxA6WEaOyHB5oFNN5edqtbq9vd1sNsU/uaIBFovFlZWVubk5NFg2XzIMP9RMGpH7F/Vb+Vkf24QAwDnnpskWl+ZXVpby+by632m32wcHB7VaXXi7/R8KV0dEWHO25XQxVls7XYlx6z0pMWjtZmdrY/vo6EhmJnLIRiTTZOViqTI7MzU1ZRqmozYSGEBj9cRGB8MVc3thUOIrA6YiPcKWhROxexVqSOaSUMBB2IkQpqenl1dXypMTbstEiGjbfG/vYH/v0La84gKMmLeMcnKvRYTam8qW2gzjDPQi52UQaOO4LlwRQhhxIA6ISLmcUZooV2ZnisWiYRgRFdPEbtyd4uOz4gVXm/G5r/6RfO8X+WTUzBH68cARJVuKCtXKieDWwWRedIDIoOdwAMZmZmaXlpaK5RIgAHJmAGOs0+ns7OwdHBzZtu+KYMANwUfy9bHLPH4yjA/0meUWhHJ53CjiGEI1lwEAEV07Ub2FxAhcexBjLJfLTU5Ozs7O5wslYAHWeW9cWIa4DGMEfRT1GlchA01otIfgGZK4PEllEBChZdvMNObm5paWlorFQGCQZVn1er1erzebTcfxvRduy1GF0WNyQl06jKfEVa1FoS1xs9kUcWcqn4gxNj01NTc3Vy67NAq8nOT/DMMPNZdbUHsQlAQiknlD48zzvi3VKyrpVqUhVi5NTk9Pl8uT7m+JMTRt2z44ODg4OJBKfNilzCMny2VcUjNcTsiJVq/XtzZ3hJ1IHjRNs1KpzM3NlUqlSLE7xuImc2uPInTeECIyDCe2k5/VDyDU/bD0YZwDgjE5MT07M18olMTvxU+63e7+/n61Ws1q0WToifFbUrTNdaDSWWgq1ar1rc2der2uku9yudzMzMzMzEyxWIQogdJbxIytCMpwXtDNn5DC+dDvRbygM9B0KSJkaE5PT8/MzIgEMnLucM5t2242m7VaTVQJHF+da8AYSTsRaX8g1BrPr6vWewJO6hERd3Z0dOQ4jqjnRA4gGjOVucXFxVKpROSO4RhRFKHFZIb4s8QlteBCcFy5nzH0T9Sfj5a63z9OCIRMBL0jojASISIAI2CEDIAhGpOT01NTU6XyJKCBaAAwx6bjWqNWrbZbLQLg4Ei/ses6Rj5+qluGfpFQx3dEocsa3xQbM9GOj4+3trZEaDMRkcPJ4SbLLcwtzs8vityKQvKGja3u3/g8PR2EnNCt3hKxvmmfLw7jL3fSPP/Qu1AHZ2SJD/TSWqvfhqxFppmfmqpMTVYMI49gEEdEw7Z5rVqv1WrNVoskuYkCtNkxtqVmuJyg4BTjCjdcj+6Uc0qJO+NADjmc207ezC3Mzc/OzooiCRxARkXo0ipZt4w9R/s8bBgn3WMQuEgpFrlnSTN4on3b6u6eIwNDBkaw4DmIWCpOTE1VJiam8rmiEDHEkQg5dwsFiphNFFsYl0kUqkYXiUvKZg1nSRgJBMrjiRxUFPinyKcY+VtRVqNardq2LWo8cdshEjU4VgqFAqJbilJa9NHnwYkpFxkYOcRrZzxG4e2T8t+TYVRfjzquIj4DgMhpTTxiTIo3S+5J/vmIRMQY88kOxACEcdRtxDTNudmF1dUrGxsb7XYbER3uONxpNBpH1aplOYA8MsEKhEfU6d9dhqFGWJcdgfWkP+jGoIAXQZlfckLV682tra3j42NZ78xxHERcXFxcWVnJ5QqIyDmXacVk9l/yNaoxMRap1UbcI24uAAAAUpKBx611F4fxX7uS5Yt3wLf8Sl1IElfd83nsU5LngzvUXZtRoVBaXFxeWlo5ONjrdruuJuZ06sfNo6Oj1dVVhsgYkltdIVK4ZLgU0EXMqJsL43Q5sbvA+HsUU46IqtXqzu5Wo3EsXBFCoJhmfnl5eXFx0TAMCM1Z779JfTjR5wuHepugSBwR7pqIYbqNs8J5SzFZ0wPix7k4FqqT4A/OoE4lP6vw2awAFMObK5fLCwsLc3NzrVZLaGKcc8dxhJ2o3W5H99+fIxi337+EGDrbWJyfVj8urIAhhVr8kwGGWEXSK9Vs1vf33aLFgm3kOIRoTM/MLiwtFwoFcE30Mh7Hz3lEKDgXsUiIqzx7cOWvN/wYpSCE4DnrvvaD01twh9n/cVoQILil/ALTw5WarvceQl9x5MQIERnzfutzi7hhGDMzM7PzC4VSWUQCEzgAvN2xjo6Ojo+PiSOpbl4lsjc4T5PeXUw8cIYzRVwekv4glbMQAM5nL3dq4nIfV0IAQMJwuq941Ov1/f39RqMh/klEjuMYufzs/MLi4mIulyMADrHPypVr8XylM4V63TSf4xBajpQxgnoWsyGTOAKD9RyqIzZORqcf1efnJZbzGuQ7JSajjL2REN0fuUEVUgaAC94qAORyudnZ2fn5eREaQMA4oUO82W4JZy8HJ4uCyXBxIuaEOM2aKYEUvkdEdJOCAXLbOT4+3t/fbzdbCG72DGEnWlhYmptbcOuFEzEvouJiZYqKQckXUIiKqjbSV1/OZV8Qt6qfhQ6jr8NnzX/R70LtQ7g/QT3K/626Qydg5PVZ/RyC8Ktx8L1Qaig0ERUKhZnK3NTMLJo5x3GIiBM5nLdb3eNaQ8SdAQAAE4UU3GYD47DHfv/yYByfQpR3S64grVbr6Oio1WoZhlRfwDTN2dnZxcVFYScSmo04399IJ2LkdryRS+oY+GouJ+TbVF8rJgKU5VVC+mAmJiZmZ2dFvQACR0wHx3Gq9Uaz2fQFM4LaYIZLgsvzupOJPfrIF8TmarXa6XQAuBQfQsTMzc2JoAD584grDvEuKD36uovLM5xGDrrgIAbEYoULyPxEjKl+iJCYQMSpqalKpWKaedd8iMgYsyyrVqvJQk4ZMlwGCDuO2NOLrQRqdnb3IILl8EbzWORYUSaWkc/nZ2dnK5UpM5+DoHZ3Abd09ujfMJRhxBApXEL/lIIGlNGOaBgsNzU1NTU1hUEmnWVZzWbTsiw5LRAxsshmBgmz9ymjAyTBhVEclS7zjYkxYVlOq9Vpt7uW1THNkjrUKpWpubmZXD5Pmo6LiPpmQeXXqWSKs4cY0LqBbwAmv3GVKCMElY0ZSFOtffaiA1BuZTFoUAcAMSrcUarEtog1lYgYY9yrEYmIRC6raGJiYm5mplQoADAgIARAtG27UTtuNBqLi4sMQPxO1BOM7HMyLty1dSkxHnrV+d0Fkr/eKhU2QLjFHOD+3hiBAJoC7YbtOAXDF6+myWZnK7OzFdP0FBoCd2aF5o5o8IJeVPKao38+YfuJc3/knC4poN5SnKROf9uDce+d7P0ypZ/eyu/3B7UgF/cIARCTr50xNjU1JVwRAKLCDSGybrdbrR63Wi09mgAyP1aGoUe/62fsvOO+pkZu6UB3TrVarWaz2Wq1HOIG5tEjXeXz+dn5mUql4s0Rjhhg5kRdS8gylnhOYj/7xFm377YwRKtE3M2chZA7f9pH+C6CY0kfVxT67H7y9jLyVFd6KMEQLplO2ezIjY+0onofDAAwDKNSqVQqFcaYxR0DDXFCt9ttNBrdbtdrmAMwr9Jswji8DFGKsRgHO5E01sTtPEV0vG3zo6OjWq0mMhN5X6FgnU1PTwsWtF8JSlLR4rMdjSsyhWyEoL6plG9NHdtiBfSOiFTWODU1NT8/L+h18lvbtqvVqqyykY2QDJcWrnkoeNB27Gq12mg0bNtWPVScu7Gc8/PzuVwu0MhlmkOZWBknCNet7tIPvWLu8rsZIudAwvFrGMb09PTs7Gw+b4JnVxJKfLVabTabjCL2PNngyXDZEJpdXcs5qlZbrZbUwWThZtNkc3NzMzPTjDE3SaviODzvfmfIcApEjFg10WEw6SHKPI/Kr0zTnJmZqVQquZyhNtPtduv1eqfTEeeqP8n0kzgMnZ0ojS050uZHCAAMVHOjb/IhAOx229XqYaPRICJhcRRggCYzpqamZCE9cDlEDCBs0RT/Fxfs99ZGCNlsuSiotk49J1wo9xvIuJi49HFBqDZ4AABiQMKRK4LZvYhtYpOTk7Ozs4VCAUSyUiIE6Ha7x8fHYgal6XMy9HvJkGHYILgSKqtIeu2I/CRdIk9vs9U+rB40WnXwc1K7sfeGgZXK1FRlmpmGmxs4IkFBHFd0TBBwvWQi5iIghizKEdhLvkQ1ESC/gcz3qehLah4Z6YojYoTgkJtSQpQuFmZTBxxCMgAtq1OvHbeaTdEuyQu6uwNil8qwmmHUkDyn+mVeB5JLIhJQq904qh60Wi1hV+WcMyYK7/BCLj8zMzM9PePF4Bge7TUwZ5BAVLwldBkf/TLBhxwUNCJkOHv4O44BjH/lazF8Rb0LdUcvT5EREu63YjwzIgDDxJnZ6bnKdI4ZyIkR48ABoNvtNptNq9sFIre6gnstQC97UlQ/x2V6nAhDZyfqF3ERqmrGFrFkdLvdw8PDer0O7qhy9RDDMEyTTUxMTE5OqskjxhuRwb3ZCjsqCL+7uHI1PX6OjDFZMkMl2U1MTMzMVAqFvPoTy7KOj49lfqJQT7Jhk2G8kSRrEACg0+kcHh62Wi0RMy/PZ4zl8/mJiYnJ8oRahyWUTewMu35eCFuQ40WMFD+Xi1I1IkhK/JFQxkb5rdS7CEApr+kJC0aTk+Xp6WlP42IADhF1Op3j42OxDQZlb+BrJpdaXc8wbuiZJ5QDoFL1qdlsHh4edjodxpgqSoSImZycLJfLgWq2WoNxFx0tRGbkzDByiHh9mnzxfOE92kFEAF/pMk2zUqlMTU0ZhqGOFsuymq26ZVnRPRkLNWzgGBmzSJz10dVFdAsl+rqF8EF1u/bRUa1er/sajLs9dhhjhUKhVCrkTBYynwTzKei5Ks6fWzSg3ATx82E8diwDxeDfcr8W99BnublyF1VlmHqqtELF9N6ntAeJGUGMiDggIQIQQ0QCh4CQUaFQKJVK+XyeGQYTdnZEUVSy026DW7IoUAOqX39UxiQadVymhUJ4aP1/e8oMAQDzvmm320cH1cZxU+f8m4ZRLBZLpYKMRyOOiAjIZa6iYWYSpWT/xQ2JUC5JAZUbMjbe7CFAkrRSDS3p5Uvg7euyxo3BdF1PMkURCIkj+A4IAGB60WSMsWKxWC4Xc7kCIJrICJCIO7bdbDaVYjR+bKboVXJe+QxjhoT15Jx7khJ95yTqdSMylaTQuJr11tFBtdVqyRPkumoYRqlUKJUKnLvJKMGbs4KRJ1ixMpuY7IZ6/GLz4vVREk4r76s7XSKFziXA2bGS1ZbVz6lkSvRnJRuj5+AW49aXL54AEFdyNS7x2c0L6YkbhszhHLwiaHkzVygUGGMATPCOiMi27U6nY9u2PmaIKLjHj36SY8a/SwNzaBfcEyB8K+7oco+K7CqNRsOL7HUHCRPG+JwhXFvSOYzBnytX0Z/YmDxDPydrhggM9LGopB+dG3yKS6m/1X1KiEgoiJbAAzq3ePUMARljZo7lcjnTNA3DAACGJJhHrVar3W6r44SA0NsoAI3NVMhwKozZGhJ7N8GZ2+12RTFN+T0RiSIcjLFCPg8AjDHutomMAaWSL8OC061LCJmIOT8M8gnHva6grHGvKopgCsKytmFDEZjGGMvlcvl8PpfLMWYK4YKMCVdEt2Pr40RPJ5Hh0uKyDANvDyJCZhBRUFbb7bY8hYgYIvMoReI0JadvxIPSDqL878U+19PLF/BuP3TwMgGV/55dy4O8ii5H9M96D9wjXnUEV+IwQmQAYCAzDIMpcBwHAGzbbrfbtm1DeHjo+byS7vFSjayR4RMlI/TKXAWFgJATAIIBBLZtH9cajXpLJn4T5kPTZPmCaRp5NWkR+J63gHcOET2Lo8DweoB7YqDm9jQ27GHLvqG/x9P0MM7Wntym9m2fq0+v07X2yUHw0qeI/7kKOBERetvWQqEwMTGRy+U8fR0En6jRaDRbLdtx5NUDhlSMumKGS4ZxUs4wZi6L4yErT6djHdcarWZH4RNxQCjkjHyumDMLbv0a4adCrhmJRJ4XQ3wbed0Lw/i80nPGELy7GASo0gGo49xHorHUdyq7jlZyJUsgggy5OB8JisViuTxpmiZjDN2SM4Zt8Uar1e52ROVa1NvH4X2eGTL0P99jOAvCq+fyLPwdbLvVPa412q2uF4/pIAAi5nJGvmDmcgVyQzgBBI8PDNC4D0TkNq1c94IX+IFefkjz38UvuAOFPvYGta9Jvop+ftxve8uXWFkTyL7KAQA4Y4Dc5Ra5JacQOGNQLOZL5QJjDEmkiTSQUPCJLNsOyZf0LweHWKafEcb2VsPxqwhW12k0GjL0XXLMzEK+XC7niwV5/qVilGVIAR40Kg0ApJA11c9nATUXVWReKtDmS6FQmJgohWozCWdvs9N2gBKaypBh7BE5+EUpjXa7Lb8lIsaYWciXSiUjZ8rfnnd3M2Q4SxAReIpTaGqo7AZ/c4tYKpX0jJC2bTcajXbbFTEZMlxOqCn/QREZ3W63Xm90u12VLoSIhUKhWCwKhY2IRNJJiJE1w2hDyZAhEYpYoZCICX1mXtxZuVyemJhQ8xMhomVZrVZL5iciCreWQceI8ol0e557JPS+SSkq4zhOo9XqdDqO46hraD6fL5fL7pZY9YmF3GRu+4ABM9L5WxaHk82UpifD09tko49uEY87HndO8mefj6B/7h8n/61HKiLRitIEN03TLOTBYByBEQAxBJBxZ2rNb3UJVnoS94Qj5uwJep4hw3mNnwjPGAl3LQAAJyKR2wsAbNuuNxsdq6vIFwYAxWKxNFE0csyTHBwAkVi0th44OmDzdIYLRZq3qa+QyWfGSaK4dvwzMeLMZETPOA4EKOnJIj2Em+skpI/52SQZGoaRyxlgCAloCHKe4zitVqvV6TLX5OQgosvCAz/nEYCTuNfNZEqGi0IaTr16plLWAACCy7+YWaBMoq5tNVoNy7KJIxIDjkjcNFmpUJwolgxkgl7kuEGfCAEyURyz4zyRZk0bU1yAdS5uD5IeLOZz8rVODumvDq3wovYfkuxDYMsiI51B2ZLk80XTFLnvOEMiRM654zjtdjuUx1oS0LigI5ED/o4m08HGelqGAnRt7rTbrXa7LdV6IiSifD5fKpVEHpaEdjJcMgyeQ3T+0C3lceq1XAjEimmaZsHMGYaBCsQK2+l0kGdTIsOlAgsaiQAACMOiQYS+S2cveLNJZIVXy9NkyHBeOFspJmdAsmOWgS9HAACRvOREjKOfv9Zy7Gaz2e12tavECZyRl9EZMkQikjEh2BBigohZYxNHxGK5VCqVIrW7jC6RYeTQi/IWWPZVI5EAERlGTqTAE//kHsnIsqxO2xL5iTKkxMjxiaI5HaTFOpKXXoiIAAmAOY67wkqjIwdCNISdyOU/ewwLt2YHRWbgT2aRnD+3aHi2H8n+zOHpp4qEXvGoc5IZRmlw5plHEtQClWGHbkSmn0XCNa0SM02zUCjkmGEoJWYEn8hqe4xNdFUVt0IBeUmLkpZ49X6HczxkGE7Eza9+N4qnGnUyWpmQKawiF7bt7nIDdiIwCvlSqeQ6ewEA9eTVQ4qT5Vw72VUgRZvDLEfSI03GuvTtpP9W9wzHyTIAtSaB/4m5/wRf2UL0iyuBl8RaNoyIwMm1qHpRaQDIAHO5XKFQEK4IAADmMvLa7bbd7XgNMi+9rpwxTKkYDqM/GMYMyaPu/JG+P6c3OKbNyRIJfwYpB/UqYJZlNdqtrt0lBM6JA3BCYGa+VMyXimgwEEfcRHiE6GV0weGp0MSjnsMwTOQ0LPghx8Dt5nEzKE10RRy0bFzKZ101IhBlzhTZhIF6ZEITQwAgB9yTARHz+XzOLDA0SVhLgSMYjsPb7Y4adyYjo2VGMLWfOsvvnNJMDRNGaAIkIc0745y3203LsqQKIkxFOp+IMFQKKkOG8YdqKjKQ5XI5qcSLNZRz3ul0xDY4gW2VOa8yjCWkkQhiBrlt8Xa70+1a4LGjJZ+oUCikzgoxDkzGDKOMsNctjMSBnMxglRlVcrmcEDHg5TACcOPOFCWtRyczZBgyDN7np84Fy7K6rbbjOEQOIOfie4RisVgsFuVPBtuHQSObuRn6AKXejKtZvRDRzOfy+bwIbSZPyjiO4yafyfb4qTFyfCLNZuk6uziG1kfuDhkiAsMAAMdxul3bsiwvuwoHAMZYziwU8tFBARqZSPxQj1A7T9eWzm0ZBsdask94aKr2REB3bqTJ5K+f2W9ceppfpUF0lq5gtiAXRKRG+YrPwAPFIEVFP9M0TdM0DEN86cbuKnYiprqZwzeYtp993OXJca58k6HHcGY305HeK3UxY0n6nYgIBaMOgXPe7XYdx1ETeAFAPp8vFouKK0KwJET0JgtyJRJ0l/O504udmxeTqS09VF9ims/BvgnErf/9ch/6XVGTcqMkXTqkBbmcayegHaErU9TxS0ISgaVGPIkAAQAASURBVJtSFxgC9782DcMtdsYYMUROiETc7rbbVseNO9NNTl7GoqRuJ3unB43BmnSHeU0eLZyGf5qc26uvnydcvW/OEbi7mK5jd0XRQAbIgRuG64owDINkbUEFKoMVL5gOcdlGOAcv3kWFnpP0pK8lFPTAtDEmN4mDZfGn2QelvZYqN91PnpQBAIYGABBwAnKIa6wfru7UEUWGLmSM5XI5M+fu7L1NDncc27K6juMAoZdWz42EIIJQ0XP/h4F8spcOYzFpNdVaOH7DebAIu92uiEtUjfSS/5xwBWXXPRZPLEMqpLQfjQYSg9ECSeMQ0ZBKvG88As65ZVmKpdX9dZ8dybgSGQaIc5qVrjKB4dGrThzHceyu5Vgy9N212Io4eSFi0jl7h22ODFt/InGu0nn8fZGUeJN9lkwSoWfSGyf0eMMwDMOQgWQM0RUxdidkaXUbCWagGHreRIYxwMVrfaKqt4DjOJZlOY4jawuCF2JTKBSyFHiXGHxMmMjBRV2JxwykGw7/SJMFYhcji51Jyion23a6tm0TRfwwpv3Rf6qnw8jxiTSgYufzE4s64Gr2ir3W4dx2bNvmnDPGABhxThxN08zn8yYzQgQJLxI+kEE9BueZb2XYIsAF0vThrPqZ/G6ifLyRTASufdC/ZcHj6T3YA/OQqzadED/Iu0sHkYnkQW7mIGGbh1C9AGBgAAAhIaJbs8b1+yIwZIwxxgxABz3lnoDbjmV1bNuWM0O5Qf+5hVLIa3cUvqkzRqQvJY2/cRhm1mBx/neUJhtLv5HtXDt4FlySqL4RE7Hxag0aAge9fBCO45DDwctwxwkJmZEz8/k8Y245TkIgIOYyiTj4sfecCGSBJw3nyVeNy7432J7EraLJuZDOaobGeXR1+SKPhMio8T7huDwOer62NHmg0hyJ60NqKLka1cNeSD4BAHBShysiAhgybxcCR3SlEHICAAc4MkQUdiI0GGME4g8QgRCIOY5j27abZ5Qh+XkoAvfiVqeJurvh4BCdck0bUQwDqz09Xy/lOf3eVEL+nZgZTRCTC9VtkIgADALgnNu2zR1wvEnBOQAwEcUptsIORCTAkyQjwrAHXel2VN8GjGHWr86iPz4DJcg5DTNTwpyaIHqtaSxm6F6Ivj0QcABANBCBgwNy5yIyEIkoB38vQ/qIFq4Ihia6dCTvCRM5juXYXe5YBsuJ4oCIyNw8rY4m8nRdaOQe5mlxiW6YwDUSAYD4r1g3GWOCOuGe5tf51tvA81BCMlwAeloNhmWmpM5yctqryGJn4K25YhssPFqn68y5PczxUL4z6DjX+Rh2OkWo4YJe7nDH5uQAAOdcUh4MI2eaecnOyzA2GNAojIy/G4q1a7AjVilsL7wQhmwfCUTyCMuyrK4iYjKNK8P5YVjUPBWBPauwE7n7F7/Mk2nkTdNUPYihRpQjw3iPGU6NcTA3Iwxsh+3aiTSGndzFyNAiNdZMmziqO+fyYvT5RJ4jV7WXuw4vcsvlgftPcrjlOI6arxcABP8ZmKqQcADggADAhjTT+eVZ69NacJPfSryPV/+sXhe0NeIk8bcnRUT76kKGiKoDwqsCAN5/PYunOx8YeDmJPEu8uDVUf4UE3NXiGSI6QByJISK5K6zddRzbJgAOZGjP1VtzfTtsMOL37J5YwlLeMyAljsugt3x55t2gkP6JxSk6/fIpemZvifT3hsCj+iPnF3kj3N33uqdybjuOo1iI3J+5s8mdCEiB+k1Rl+7r+FkgdJUz1ZP6HSFnhTgJcjp5n1JeJJAdzue9p22fAcoqH8G1nYPHlVPzRyC5SURB6k9oADioKPEMGHkiQ+yEXTsRJ2RIAIAcXaaSf634nl9sJq/0vLAMg0WakRDHlwxRxcOIp0in6UaPrwgcdZVxeeJezi/u1ahFLyqCPBFDiABMUieimmZEpG2W4+gncPZj9fLOAp09lHxOOjDtn8mzIGLl7GdsnyEw8Enhh1L4joL7l4AFQDq2EcEwDGaAS8cThTYRyeHcJp+yCsAAiVwB5EG0KXPh9dxBjDnG4eZDdh8PLHRQqCDCzSuPiBVW5RNlyBCPIRkkXKZeOwugh4gLcy6M8Wd39QwZTo/4SOE0Jo9ABGX6NCjCkMq5n2qRwAEAke3rwvWwU2BI1r0xBtf+Obw+zNMX2BZ6FwAQUyYFcsHLC4oY9zmMezaibIpl6A2HW2IXgwRiA8w5B2Ci6kikiBlluZPhPDByud70Gpqh/Kryg/B2B4tcMTFrhIhJ9NiNvdBJixHlE/lvVG6YEVF4d4GjSw0iAPQnACdyOCdwADn3KJuccxkUQAAEonpN2BdNhF4uCbhoPtFl0ydOyyQKIs4PGa2UC4b8CQSttND3u9C4OfjjT0BEAgOQwDWRq3Z38f+wR4gCMb1qY+IcP4eR+0FPDO8WYuKA3E3C4p1DJNJLRFwdUSdtnp1/NZl2m7zp0rOE6C1nOAvEjYekZx6m1AWPo2DVYfiIe46WF8A7DpHHg3D7qcy7wFQhchyyOdkyC6+YFKZpiuQRosOEHAEBGHB37gQRd+8XOw6TGVtnd600GH6+xonpQgFem9BwdHkUOSP0g3qyIa0doTqHefjpaRRIPDbHhs+kE746tzMcgZAAEdDdsQgRAwDi9okIgQlBHOUguai3n/DKEj6nIZsM/3geTiSzhwage4Smg5hh/auHaVhOTJAgwOOA+z8mW2RRISBG7iY5l8vl8lF2IhEQTSFBGdohZzg/pI5JiWQ9p+G2xzGyz2RVidzghGRQnMBKPQIjeo6IpPCMVDKRPCJIRWKv718aOTD0DKxuZ7zfSnF8UWy7IcVY3bBamykSyoBw/wlEjDEjZwJL+hX0PbIzjAfOcILEpu6/iFo6yRb6EC/Ptm1BfE7TcmaSzzC66NdD6/FVOQAAJ6GKGAZKPpEXHA0AkLSlzjA+SDZSR4qYgRHdh1BjETqYKmLCvG+yHcfhxHtqdDG47GECGc4BZ6DYpPCJIiohEUxud0VUxKD7k+FSIC56oCd6ToHzlD66sPDli3dEdJh78Pofy97NNi8CI7qyRLxUIhJlzjQ7fdDlC8C9rBLCbiTyEyEiD1l5iQn2hH9AMDIGdRMZTog0GUyS0ZtJJIBeap/UrckfYuhD4lX8DWQ8fC4DacW503AxglG+SmSv5BmFnU4EwAVVSGbpIiKHuO04nHNmeJ13yUhqTiK/JxjR27NDbAy2cjzbQlwUBjMStDnF9UxYOjPC/a068t0j/n89BEcIcqAIrhkReRLBnx0YOiEgYqS/gQEgITCMpJNkqolAGm5gHAfwNFccLAchDZNRv3p0r+KESbI1M70wUrPLeVeM/ombz64HYTZCyhARYwZ51ZqQEyPgovSmNw3lxAFkIiuLe0WShZyGgVt3dtIkk1CDxaD4icJwyXxPQATZvL9RESrKLD+jW37WHfleHLMsj4DkzgUmRQzD9KHNjIjQlz6BS58xLlu2x/D63/sNEQsm6Inj4+uEozhOfRzD0etSMB9QekQShXSXc+iENC0rFpyIvnmsUi1vkdYf1wSGHJHEfo57tA+F+WEAuMmMAxIQube1kRe6DCM2AmN72wl771A0ZoJrCwDCe4NMic9wlki3jJ542ib9UNbt9jShCMhpxck+aR8yZBggztQK2dvLFJ4pxETqUIBAneOQBTZ0gmwkXtEfW0l9OZCG4cKC+uhYvXE9pZGqhrmuYO8r7oCaR9Jrou8g7gwZzhQDokv0TmdxypF/ggQIGS4Mp3WsjoPg8GZWQA6mHMPqXt4NLiPGKayACRHjRZ9xNWzIO495wWiXHSPHJ9KssxiogkEkqmsAF7H8at0NAIbI3KRWDihOYNckLzIaSeebHxbA1KVct5hmOF+cZt6myT5zfh6PSPs3EYnc+55RBhUx7ydjc/k7So0zFVzxRKmHo7IU+ddFNEQSDO7FaBJDToAMGQFwhmAoHXOIWMx0OAnj6SyRPj9RhrPDWfneI9IyaEyiYB84+Ip5xApAbmIy/Ydeti8xK0WOFfKVCVkPQecW+b5izy1BRAFjUiyGYWQm5/A6C+je0bOdp8HcVYNar+Laib0X8nP3xF43hWHxNFDGcI98RpHZtcIHXfnFycta7TJPiYgjcIScK9wYiBllMHkCInJwUFT2ZPKiomOnZxafDD388wrS5BDJGK+DQvKcTf9s4xjiaSq3xnHVo/sWpdq5kHxVkYkSvfMRUVJTZboun4Ln99Y9LptW6jcJiXkhmfIvUt++CJz+jtLsWQZ+0Z6Ink0pKKtBe42Wj9XbdXNwS13Kk92kWup+3yWrkrdt8s4FACJJvguGBHGfA+jNL4fAmxrkJ/PKjEQS4/AU4kjXISUGveTn8ri0IBJR5M75TLqbIUMiXIqx4lWQNB/xfbpGUP1vT0u8omG4TGbHcaSmHtmm/tsMGc4NpODMLiI2ptHkjpAcAaHEM09nCXCOwkkW++wzV/4yjDnSZIs4H+XkBFdJGNghj4WoOBOmFCmyJlPAMgwhyAtXOYvx2VOcIaJS18wXBxH8uwiMw3YvwzgBe29nksPWRHKu8MbEj3tw5wVTgySER1xYA5SmXS+4gmy+uBg5PlFM7hV3J+z7svRFU6ywnr+XSXevrJAXAgc3RDjDUOL0Xog0GSh61uqKrEpwEnhj2LsiMS/I0TUSybXPG5NhJpHIWyTyEIn4diQgBCIEZhBwImIaf4GBZlEl4I4jKnwzAs794sWIyJAMUWwSXasrIWgzJS5S+nzQr4c2wesb+VXm9R0UTsIICEwT90i/RQmTxydL2xj3HL4A4NqJBPUucA633dkEbj4v8lzCCp1oeGXNRc3i5LpRAoPlYkRLBDWPVRrEn5+cOaK/ng96m9r76QWzQsRZTmNHCyEAJyE3QEkm6p/BkDgxQCaL1bhdI1TKjAhGuMK/OP/VOI4zEndO+m8zmTJYpNHrQDsn9lfKVtP9VeI0PMnb9IOR3QsJzql7VGxhXF0RGQATufNCVtfELgkxpPNtL4rXc1nGvPpuzsUEzqP0nEHJx1SQRtXQZwHJCfWYvJyIRNVL5ptspHJlSIYdkhpvASLbnc7/UOSL4mMjkvKFCZ0LDSBANITMccWclq+433sfJ4ztbctBqTqsTNM0DAOUkQQAjuM4lh3QV7wWMqJEhkSc6w7qxAMyRAhKOIHcsM2As1fa3cV/mYcT9CRDBg0nmER69PHJ9K7BjGE5Kxlj+VyOMeaFbbrHHccl5+k/SYeMSZThXKER4lKJnoRpSBigYAglXooY+ZUUMV58TZi7GoVxy+WUYVRwIZS3XC5nGIY6JcVUUr3dMbM1OWo4m0TjhKFQGEJWodB8UQjhREBurpj4pAFqCzprW7YpP3DbUff1ajSZ3MJ4pgA8F376qGLk+EQq1MAcjZyGoLxwLkZGPp83WQ44uq5dMICY4zi2bTuOI4ao1r4BMgtMlsT6QqH6aYO5JJIRZwW/WM5LNFSukOr5kYHoIaj5iYIVzcS34DXnuqQ8jlLEmUSEQGLAC82Dc84RkLupjsDT9Rlzk157KzsHwKjMR8OseZyGZzTM9zVyCG3zer4X7ukK/b6FyJbThPqTdgQEqU/kEZO0P8MwhBIPEMg7JESMon9wAODRtXIwal06z6xAOi5qnez3fgebCULJIdJnK/FMIvVJ9st0OAvWTHTOKSXpiSt90KO0gs+k8FsglwrH3JIywTP0HCtuYhVpPZXbXeQoKjcxQfwOK3U+o/aEK8BZ4PT+eb2djK86KOgz+mRMInlmmBOR4le9gH4iVEQUOxfxb0dWj+UEAMDJMDCfN+VEICKRoMC2bdv2S4v4PRQ6oVctzVucmJerSJeGw6UPjxPOxqaoS5Y4DJZblBY9balEhKCmmWbopm3kYkcT3FlwQSdV+B/kxRIFwX0RA8AYM8GTa8IPIexEiCgMUADAuR2YOO7HYdwnnjPGQRTFmQBD8fCMQaFQyOVyYaOm7XS7XZ1PlNx4hjFF7+VAtzqfzwg5wVDU7fdxLYc+27ZtWRbnXBqJ0EvvZRiGaZop4oqHBOOwxGXw0J+0PofVW6WmmswQIkYeEV4v27YtqxMnYvQOZxInwwUign+KfrJRDCLh50kHiRy7a9s2ciX/nYhKQ2SMiUkEweRfp7utkcOl3pkMJ+LG/BnB0GZiLpcrFoumaarzwhMxlh/aLCcO8rj6WZmsGWOc7OVeCKfGpfl4F0QlyjKue+oPVQUstJERxlMxKaQ+JsxDhmEIf54XxQyKAzJDGCPEJ4r1sxERYsgnQIoVkET2CgNZqZDPFUyRxoWImAHIyLbtbrfrOE5oZgQrqbltZZvO4QW5y4t8Z1HMo2RrOlc+qF7W0K9I+TwwRC3NTF0KtVUsnJ8ork3y6gEknINuMi5Hqh3SeIoEnqrBGGMGy5lmHt2fABBEMYnSeC3OzWsaeYk019VzUfXbQoY0iOY19PKV9esZG1CUmZKSiLjQaYSGwZlplIulvJlD8jzAAABcnU2hngQnpnqnqB05H+izMu7q48Z6SKMkBjmtyb9KM2LjWK46zvU5h7kGAc+qAFfOdDySnXcOE3n0lPvlhF6KItGc1LsYuaKEMQbEhJEoZxYwlLAv0De1D+MxAiPvJVM5B4jkdSzNr+I0xtNpOME6Ceil3vKJ3zK8DHjOMEuForCiuhOBGABYlmVZVrjh3qWZxVZIjfQ5//F2UXmRLhL95ryLh64hcE24RPBkya8aeXqcZh1O0DTcr9xMjuH9C/OSPYYtR25bnItJQeS5NLwGhJHIyJniNHF6cBcjLi1ZeKEeXpZRKjFCdqJoEGF8CWTgCv2fMVYsFguFgjqwyOGWZXU6HRHcSx6tNNKkeulGxxAD4UyDAJNetb62DtYOjYgUrmd/2gYhvCMNI2SVtyyr600K2YgwxovgGlDu2jUYjTky7+4wQleFVaNqopl1MEAlualhYKlUyOVyRH4kNOe80+l0lNkUOROHNYl1hgwRCAzgqIml6uUAACww5l0lvtsVMW4iihk8f6+grAaaypBh+OAN6UHttwPZVRDAIR4iTQg+kZgvxEl8cByn27X9XUxg8+Jnz0hEZpEcXUSYVxI2xQLpqaD9IkHdCmlrUYoQ8x3+UUC/YlWYaqo4xd0p0O12Ox0rdJpITGSapiJiwjmMMoQwMnaifuyvjIh7Ub6MEDiQAWiYWCqVCoUCIpLDkQCJEaFlOZ1ORwT3imgauc4iomCjMPHP6GsRZjr+QKE+zeAzD1hzMXTc5ZSJEkRKfp9U+R1CVnkW5TfuYUs+5XbUW+xA48eFe5LQhjwrXE0JAID5yfwDokWhfboeKrJtV+0QAfNy1y00eLHCKqu8x7FCDlqOpHiMil4SyQsYlc6PHNLH2At9KI5uIHimhnK+Efqt98+Tv0rFSMQBIGeapVIpnzcJ/dVA6CvtdltQVgmBfKqRz+YDhB73PjgXZCLGYP6e6/TUpQMF5I7sEgyuV+q1xNXPFf5uVvKMgtX6kECaSr2am2IH605OIup0Ou12m3POkXMgZjAgxxMxhmH6Dr7LYaMfKgbuyOFk2b7ijujnR8OLOdDzyp36HTEkEmJEOrsZAJk5NlEq5fN5aQpiBnDO2+12p2NFhTaLHbUjepvsLPSQbv0c2NIzfuP5POepSlKOICyHkIJiloAIXlLc5fTdUOSlg9mFvJ1dkAXgyhGxyyBKUxgWETnn3W7Xsiw1tBlEpiLTNAzDZAYA9xJ1edld/UxeEBzc4zdK+8DI2Ik8hNd0Qb4I7aBRsdwQkXj5pmlOTJYKuXyoxU6n02g0bJuHWlAaTwKGBnWGs4Q7cZMszqdHZCxAb1V1IKboC7Rni1mDiAhGt91pNTsi+S55NYldJT7H1KKBIHYJ0Fv7GCNcapkxElD5cfFzqo/9Z0jDDmrbbju5XG5iYkIo8Zxz7vWh3W43Gi3VFRFqGb3ttDwCAFkCxQxDhcgdZvyeUlHSSER/c+mNII7dri2Mp37jRMxgpgf1uqH9BmSO3wyDgRqbc5LtvdgjkLSAng6B1EIaiKiYy09OTor8ROoep91ut1otlQAeBPNCzHxuRTaPxgg9rDYS5/C64y6hr+Hio35mgimTcy4CG0Jn6j9xjaftpjSekheBJrzdjDE9J5E6KbIJIjEydqK4d0UAhBRpYJRLoQPEhJ1oYqJUKiGBQ5xQsEZ4p9NpNpuWZaHrCeQinxEQIz8zC8o+ELBzd+Clwfj4muIeLsaekcaPpH8blyEiEn092MHE6wY5TcmthflG5BKDhIbduz+EIuiSCYqcmBTuzhZRmOcRMZfL5XI5kQrOvTCOaxnAyCE0DvNrmBBnCknO25JGK+r3/Gh4/DsWUkSCscmMCBF4Pp+fmp4oFArg7XsBgAhbrVaj0XAcki4FKVSYe6ZH5UtgjF+AzElfS+V8+pDynDOapGlGaeRxHvwwyO6pg6J/B/9pciEx5X/RmZg0rcylnRKRQ7zTajcbbdv2DU0IhkhOJPy98meXQ1PvSxvJEEIanngck6hnI+cGBAAK+KYZAMntDREVCqXJycl8Pg/ePpaBwW1qN9qtVkvlE7m6HzGZXNK/DCJRwnoe/xziqf4ZJNSMqFFxCf5/+0G/WZwGJWtOwrOLaSfwEzE+g/Wao38phz9osiAuRQwAcM5brVa73ZaMIQHDMPL5vOeHSMiOpPcfhmCJuBiMjJ0oAaglq1HDbRCREQCCaZqVyalSqeCeI5R4hFarVa/XHcsmcvOsiI2xWy7AjcQJNJgZGi8VSMkrGGMUD3818OueDEH3VNhSHjpTtc13Op1Wq+VYNiKiMCAxJlbYkJ3I6ysTQWfjMikyEseFYNgfu5QRAq6agsCBGFEul5ucnCyW8uDFo4kT2u1uq9EUzl59egg+EUXnlRz2B3L2GHXNrL83eLq4gKGAGMlqDHIoVkDoVzLuDBTRaRhGZFFaFaP+fDKMB0gpD3LiMRnSxIg8rS8GxWJxamrKizsTO2TknDebzUajoYadib4hAlAPOvzAsyxlOC/0rR5EcjN1nMVIIHIA/A2CbvFJ6I/esZ6pjtTQZiFxhPKVy+UKhYLKV41rJJsOEiNhJ0prySPJbNAHG1EuZ0xPT5fKBcZA1U663W6j0bAsS4wkJObmNkKROUKZVKBug/2Y5GBFrQwnwemCnZPrJYF2XP827ngPDmfMupa+DzEQgXWueh1XgYgFf9ATapYWldYAIEyriOS4R0QwpmVZiIJQbYikiaViUfiyQKFlkht6eUkSScAl9y2cGU4/eOL8xj2zeKaCkihRTZ5C0iqUz+dnpiZLpRIoGo/gPzebTceyQfkZuO5j8TFp/l5IDpqRQgrdAACiniEBAHDsketHCaHyj7C4N4IRI1mujePAUpRTICoLnjwpILDcM5X4l2a7JUSMAS7jlZAx0ygWC7m8AcABOHAhX6DPzHeji8tY++nsEan7RZL+WPwJEfDYpnHX6oOXBy6TKNKB52anBoBCITc1NVEo5EhEPRAQcM7tZrMp4s4IQNYWjNvoBnKHRWuwMeMwTFvPcEqk56gm/Cr5nxAa2xfqiuAAalbTviGyCMmxrXrjlLMYABN8olarxTlw5Bw5EjBEwzCKxWLQTuQHpkVdMwv/Hw07UX/gYpetDCAkIKBcLjc9PTk5OQnI/aLFnDp2p91odrttcQAReRajmEGBSCmSMATOaHigH+x4ynb8kZxgsJfyQzAg6vW6WmmVA5mGUVTsRKGLCFOR4DNn8yXD+UPlzQmcxTiM82I5nBcKhUqlUiwWJRcaEZFTp9lqtVpiNnHpy/BqIxBwcOsbZrPm/HEy/e8EOi5Ls/kc5pVTSofkTrrptoKO2VAiCaHENxqNUEYVySdKllMw3A8qw9AjTRxrHzhBfqLQFjc6eMZt2QAAzjmRky8Vp6enRWgz56JWAwpXRLvdtu1u1M979yyTPiOL/sZqJIvnPKGs3gkJH/toCoIbHAnOeaPRqjdanHMZAEEApmmWSiXDMNSp4Xs+tHRFmZyBEbETJfn6pIGbiMTGmnkBNlJZ54AiKGBqpjI9MSlqSboOLiLbspvNZrvdtqyOaQb2wF7MTY8VdJgG0sns08OCQYc/J3Nwkn6l+oSDPemXS3Ki59/j5tU21Zwncfcr/hv2fZHiHULi4NcdgGazWa1Wu7ZrJxI15EzTLJfLxWJRky6Xx8F0qb0KA8UJcoRF/jbuWzhRy2GoW1wZDC9VCs4J3CBlAqJ8oTA9O1Mul5WkYEBEtm23Wq1Op0NEBI4noBgTTApXEjliP+CF0yc9mfNiGCU/4WGXLGmeEsZ8DiL9nSavDzrj8mKfYXKVqOi+6SxapEi5Q6TWIvSkjCwpe1xv1up1kQLP+ynlzdxEuVwoFIiIgBFyT8NjMBZBeafDsM+4i8MJVqTIk9PLdz4gtYcjkJd9UvjYDH9+ERPVlwG5iDIrFouVudlisQghymq33W40u+0OAuegSBDkBKJibcLEYZGLX8T6eeaCZ7T3LzriHpX3IOPyZyXnZ0zWcHrm4eoLZ/H85XhLUSgqCMld7Wlj4oDNZrPVanNOnmZFIsVqsVjM5XKiDHqwVyCjL7W0R6M9Dk+JkbATpYU+XOQRmyiXy83MzExNTZno6xxCibcsS1DUymUjMnozMvrxcqssI4rT7vND+RRUDNDPSV7yLABASFV3L6YzfV7Ru0y92TiqVTudjtD4GQEHMAzDzQSvxRjHh+BlyHBOOJug+nAOMv0abgA8UaFQmJ2dnZiYEK4IImKABGRZVrvdbjSO2+22kWPCuyVYrp4c4SG5k8mWMUXv4NzIhXQYlI00K3yI0ydGshfm4oNzfnx8XK1WvXh/F6ZpTk5ORrkifAzDo8gw4hjwrq/fMalYgvyZQkBxehRx5MgBWLlcnp2dLZVKjIHMRsQ5d2xHRDd3Oh1gyBhLqY5lTKJLBaGr6McHtajG5z8Kb5/BjdKIGPAJu4mE43ILI/Qr27arR8fVajVEWc3lcqWJspo9A5UITdURmEFiRI1kLLLnSOGU6a5pkCMAmGZ+aqpSKJfQdNNViDHBObcsp9Fo1etN2+4iRjDQIkYnM5QSVByA05DSKvjYkCAImHzmpPzFjYdEJJwf/cTkCqIvImqZiYGAAEVuIuYViCGMSQPhD7rAHSEa4QoXES2oz41JZZ4Qms3m4eFhp9MBbyIggZFj5cmSaicKRROMHdLMHa78ZegX6Z9emjMD4znFmtD7HDGPXDmizyDkBA54mk0ul5uaqpRKJUNwhThJWJbVaDTq9Tq3HaYV6BRX8SZRuFeeIu/f+8Wp9urzv9iRr183bX8IOPnn9B4D6SQ7U/7iejv4Z6X2bVCjQnOlRpzgXjFI+PcjaFDk1mPMSw3GwSEURWYF04EdHx8fHB1ZluUbSRnm8/nJSZWyykX2U5fkG+3pzZBBn3fpZcoFQN9iICJjZvJaRESFQkGUSkBG7r7DC+RsW91a/bjeFNmsWWg3FHIEirkZ0hIV+KuZt8JwAB5cYs7n6Q2vZqXLhZPtAdV9TT97meQzY/bIUWmkB2gWCeyaXZWJi5WfMNQriou2VA5yAPHzkNYRPl/uy6SNyXGcarVaq9UcxzEAGbndy+fzExMT+Xw+mGVyRC0h54Qxfzr+rCAwzHy5XC6VSqZpohKVRgQWd+r1eq1WU71bPYltGS4zItOUDGrB9Zrhgxp4KfV+iePj44ODg06nI9ZfAxkAiHJOgi4xkF4NPXpmMRhSDeZyY/C+Yn8DrBlGEYXzlgBAqCAi+l3MEflD27aPj4+Pj48dx0EI1PzWUwZk7qyBYEQf4tC+fX1kRkq9uP6r3hTOea1WOzxyRYxsPJ/PT09Pe5GbST058V1kyAAAnuw+lRA/jZ8sMkZBhTwNZWgzgJnLTUxMFAoFwzCQkSqYLMuq1Wr1el1SKmQLJ+5khjFDKCOPuqSThtNcSPDjTtvddBeCIJ9IHHdsOqpVq9WqZbnkD3Gn+UJhYmIiXyj0bDmTMhIjs9+L95VxWXRA9/e6egxwsXSauUKxVCqVy/ligdCbGIic83q9Xjuq2raNiAwQo0a4qH8MYu2mcH8umr6Zxp857ED3j0eVjIl4wumeeeS98+AT059b3JN0j+vL6CmWlbC3GcFlEoE/qoVl3R/hOnsuaHdX+8MBOBJDYsktuGcT1o6PBZ9I9Rjncrnp6enJyUk3cGacN7RM+5BhsEiefWl+m3zC4KFOeXfwEyOOjqugIAAzc7lSqTQxWcqbpjjfJs4RHMep1WrH1ZrjOIhI6M7EwHyMWfeUm5LeXYCTei9Phzg5kl6+nF4ScWX1VqEc8RJ3pJQjp+tJ+jtKO+ZPv672w4FKf1yAa+qR/wQiOHeckAA4MfBFibATVQ8OXY0LURRvEpngy+Wy3hP51sZX6ERiNDS34UbPZ3iSxNUwmHmqckkiGuScEzjg63UsXyiVy+VyuWwaeX97zNCyrONqrVlvibkmZ6Lk98Vz0gMXDD0N9FJg6iEVZyBnh37/ojwIVY6Iw8mSRf027nM84mSNLk16PCudy5Zw2onh7pEJxL4jcq+BiKE9i4R3PDwe0o1hAACbO9VqrVo9srgjNiwcARGFiCkodiJ1h6X3MNXFxh0jvwsKGRFDu3f9NZdKpZmZmVKpAK4NEgFJRMsfHR1ZlqM3IlsO7RMGeh8Zzgf9yTbVuI4KxLcYxED7yf32T72pifMM6J4r8cG27Xq9eXRU7Xa7Kp8zn89XKhVpJ4rDuEyNnuNkaHSXDBcBCkahCpevYRjlcnmuMlMo5CQfEBFt267V6iJangjVeSc/j8vEydAHIkcCnK1w6Y1B7SKkeqb6GwS9rlarVas1YScCj21UKBREEslsLmQYWsjlWl38T9aICpVYB0FTlLoymKY5MTFRqVTy+bwqO2ybHx3Vjqs1PQ2Ceq2MVZQhcriehcRJbvAEQ1FtR+UQ6U11u92jo6Oj4xop+YYQsVgsTk9Pl0olr4y1P+kyoROHobUT9Zl9gKGb9BfR9V+Jwy4zyP9VuVSan5ubmJgAZSHmnNertYODg263C8CAEaEXM08MvHIeqk00aF8Pe3rPHuO2Rw3a1Ht7FU7nE471oxKh4AWAtorF2SKjFrt+347uE0jKwBVlUA9fMY3dPcrGzwGg2Ww2Go1WqyUywCEiMkJGhVxxbmZ+ampKsxP5c/MyLbVZVPN5oj/m0UC0YSIicji3BZMUA5ECIl8DB+SyQ4hoMDY5OTk/P18ul4lIquyOQ9Vq9ejoyLY5IjLGXMniyRci4oTkZykaTvRgmqTg16R5g347wVxC4RZiZa67CPm++gQ+cs+1Ov636X250XcduX/rawDE9e008jGgi6v8NSKvKh8TuSc8KKwfxXsc9OExACZmECI2m81Go9lst928qsREMGahUJidnxNxZwgAwBDluw4wL0YW6Rl546bjnS/iMhaJ46H0ZJF/OhT9083sI0Z1XJaf8K/0I6qepkfQhFySRCTYfFNTU4tz825ZQO/8brd7fFT1EvfKfsodC3OittOQbi+DwHAcZt+pEbOwqlxgnRd8NnvDtLKGCNTXHkeDGEiftDuNGPlR7LY4nhSAJ1P0z+FLe9t58aHZbDabjVarJbx3iMgIGGMeU6Qkf4jEgTtSQl2mLUxajMPMD5kY1a/00V8sFhcXF6cnpwA4534SuMNadX8/kLg3mVV0PrGX8RiHF9c/zvauI/26oRNCmr3YB8adf/r+EMVG+aZnYEIKMSBVk263W6vVms2mZVlEpIYY5HK5ysxMlJ0oQ4ahw6CmJCr5idJca3JycnFxcWJiQuyrhfHUtu3Dw8ODg6NAIXDlEhAVY5/hNBjyh5jg5B/WAeDny+up/+gjWepa3W738Oio3W7btk0KKY8xVioXZmdnJycnxU8QLyK2MkOGRMgdB52oNFKCuqhaiKRRVX4r9C6GODM1vbi4WCwWxRZGwLbt/f39o6OaWuDJbQoMGPNEARkC0AaYHCbnp2B4SYApbsCfIFQiup3gfBS7mOPj41arJUSMKmVKpdLc3FypXIhsIUMkzIvuQDJ8E6NwJakv009LRISAQECivh0RADBAHgwTI3IQsVQqLS4uTk1NASdRgwMQHc6Pjmq7u7vtdjuyH2qFcnFFfYSf+0Abv706d4k8yiHxVIPuDh7NtYltVj050UGHjMAnoyXYH7FH4urTvxoRd2YQERKHgPNWT0vkHvGOcwBQje7u6FXOcW8n+HAREYA1Go3Dg4NOqy2rRYo5RQ4388bc/Mz09DSE75rJ644L1HsZv7u7cKju3DMBukqKA161stOAARIRBPhEDEAYawnAkQo4EZXL5YWFhXK5zDnnQAYCMHIc5+DgYH9/v9vtusw7ALekoXCxATJPr2LM9XjrUk9AdAK1zxeBuNkhjuj9EscN7bjepnp++LNKLQk+ASXZR8R1mda+/m1/iLt6sGV9PVET2bpXl9rFyUZs/yMh7q5jnwYiAnBFICtvwfWfiRGrvCnRIe4ObCKq15tHR0edThvdrBHMrYkDVCgU5ubmJifVPNY8MM5HXqGPG2Pjp85dLJLnu77CMO1z4FsiAghPzFMajCQIZU0xBAAEwyFOAAw5kauR+lOOYGpqamFhQdiJEMlExhnrdrt7ewcHBwe2bXutBe6Fgb8/CtyF2hPtyPlCX+1HZV7ocjC6/1G7Gw5JEiT5uA6xd1DkIAKAS0YT7ehjdWCBZsrnoHRTzlF8B3FXjUycCgBptHHHcer1+tHRkWVZjDgjjsgQAMhhaApXRLlYAhLxFByAEYX3NKoAUq57STGGNx/JBpJvfaJYWl5YnJ6eJiJhdzcMg3N+dHS0s7PTarWSGx9WR98Y4Hz24T0GPAL6xpHkM+NPGMQgYXELevhaAxLp0txer9f3dg9arRZjPgmTAYrI3pmZmcmpKZa8y8uQ4Wxx3hEZciLEzUeVijgxMbG8vCw4EdKa7DjO4eHh3t6eoKwmNJKR9S4P1OGkxphcUHcioIdZxDFtU7WGSES1Wu1gf7/b7RqATJlWnoiZFmkBAMC1lmoZ9DJkuHCoaz6c8dZAbZxzPj09vbS0VCqVZEgEc+1Ee8JOBMFZE+rqiCCTg4OEiAyI5JSdUTzEhSzXgrt9dFQ7ODiwLEvVpsSOplwuz87OqnFn6m8T3f+XF0PLJwpb9DHwbwIAPVxWXRBREqMZAmdEQA4A4+VyeWVlZWZmhjGRjIYAEIgODw+3t7fb7TYAd6Pr3QZEeRrXPY2IIlEFagbIE+JMDPi6zfWM19zEu4j/Msmfqb7f4G9PeS9xzmomryLeMiRZtUWvUJDZIEbjT4TuxdK7p1wrhh8UtWEO3CARhWZKWL9B94PBGCLW6/Xd3d1ms4kEDOTWhQqFXLlcnJqaKORN1VFASo7SsVte43wXmQbTL0IzncUbeuI8uqAcT/7WBSL24q1EgIJZIbjLG1KoqYp3lyPnxD0/rWDd8ampiZWVpampKb9bjImggN3dXcuyvKMIGMhjQKguHT6TSPdAQuKR9OhH+CTzhuQLjSZ7nhgYuG5vrlD/4rR3b5PbjL9W71U9FJaVev2MkRE9mBGQeFz0QSSkM+Rn8Himif0RDKMwk8j9OflcDKG1V6vV3Z39TqvNAJmQukSmYRRy5tREeXp6xjAMT183iAiQk9tnvBy8zmQuTAYd+qhOlt1xczOWeSSkicoqSm3YjW4zqMUBEBAyAOIAIued/w0CASB5GxyDzcxMr6wsTUyWQGQ/QGDILMva3d3d39+3bRuVXnHORSiEvDyRW3xwUFERg97EMOWFXiSbO/m+ouRytAyK+6zvdE6H5MQ9LG6cnqPeHn6b7gof7A4AqE8XXXacI1sg5ZTQz8W+/uDg4GBv3+5ajJmIhnzoJjPK5XKlUhFcPHEyiqA0IIgWwSfTK8YKIyyEdCZFQOtC/79+9geOxYnyypW1mdlpQYEW23zh49rf3280Gmo7obQRoA3KDGOB0+5tRsg+khzfCwC1Wn13d1cQ69zjRIZhiBIbomKxiOIM/XaEHkKGkcVZ6YuhHbv8rIfQq+KABR10IlvZ5PTU2tra9PQ0M0DmseacHx4e7u/vi5klXdCh+XhGnr3RBxtpXSUE7+1HHz9LnGT6eAELodS//UGN0KkeHasx/mL3a5rm9PT01NRUyNObiZUMlxzoAYRViGh6dmZtbW1iYgLQTxlmWdbBwcHBwUG344sYidA/OcQmvhwOjM9qnyEBMSIv8iALGImifi7miOM4+/v7Ozs7Hcuv1wyIOcMslUqTk5OTk2XhsVDzFmVIwNDyiZIgSz7JERPJ+/DrCCAQAAdCgInJybUrV+bm5gA5cRsJkKHjOCLxVbVardfr+WKBMQakGIyU+EUkQLdNEjb+4FXFSelvJvWZ0eBBG23c58gfQpSl+0TC40R3EZd9I2hfT8MvSIM+UqJ4JKFADKNuNBR9dU8QLqY+esK0g0kd87xPml+dGKJLbPKOiFMw1FV9RRZMIuTufSAAolGr1TY3N+v1OjMEpQ6JKJ8vzs8vzszM5HI579cRb2TsFty4eXTm6XXGDj35CPKc5MwRoM2UPlYAIhJcCR39mjulDDKCrH4OVJmeXbt2fbIy7XDOOQdODNFxnE6nW6vVjo6O2u02Mw3hqEDhrCJGJEt6uJ0FcDmOZ8cY6r/lOH7KaXE6f10yg+Y8kSxtBVwNNXRkEIibF3G90hnZhvpZTQEZ+kmI3xr2CCv/JuSAQNyl4SHi4eHh9u5Ou91mjAG6NrNivrC8uDg/WzF9Xq/U4y9bnHMmVgaFNHy6PtaNgWg4vs0UKMwqUtYyiuw95wAwN7ewevXa5OQkERGIQAfuOLxp2bVarVqtdq02goFi14PoltQELuMhQF9sydNmgzuBNGwa9chAWUVwsRmLku8FY/qT/KsIFlKqB5csZ3vzVZNPOBvVnaHcH/Wxa3O52nLbRchEBA8AcCCOHCgcnB/a6ezvHW7v7nY6HcYYRy4IRYVCYXZ2dnp6Mp/PAwECJ7F/F8mLAu1JJZNdciaRwPALpL7V0JAJKfAVUbFcWlpamp2dLRQKDBkAJ3KIyLbtVqsl7PGOZUfGcEZ+DgMv/ZgaJURQu4fKn5/QmeTMRCe+i2q1urm5eXx8rNra8/n88sLi4vyCYicKY+yMRGlwGYIghhDn99gTnK66c0Io8RMTEwuLi5VKJZfLMaaWebIbjcbh/sHR0ZHjWCJaPpBFYrQn0PDrEkMK1Rtxlug7qxeiEayqGfmKE9KURp3N+cHR4cbGRqvVUkVGsZhfWlqam5uTGSWGShBnGF+MEldRBMtMTU2JajymacqKtJxzy7Iajcb+/n6tVnMcR5Im3B+7EaDevzCbYsOBi94zDqHqLsKNQWFey6+YUsNCd+QDgG3bu7u729vbomaIOM45L5VKCwsLU1NThmGIxvuPGL2kGHI+UaRaw0mh9kQilDLGjfwnIKIcy09NVSqVyuTk5HGtIU8AANvmu7v7Ozt7lUqlVCoREvfCBgxvqKlKjE8w8XwC7hGvG+oY1Hs6oKkZOZRP5l89D5mhWmcxlkegIjZiPAX6jvMPs3K0gQQeDbhfS7yyliW8stBPHAjHsQd8LGqYrg8Rix4TwOJyiMi9AKrHARhj1Wp1c2Oj2Wi490hERLlcbmlpaXFx0dRSWCNivLIx6uts+jGZ4TSIyxmR8JxPECsaG58vGiQiCBZHI6+uZSAePmpZF/ZUIgKOLGdOT89UZuYq09OObXMuNBUCgE6ns7Ozs7e3NzU9wQA5J48J6AAAAhKCKN3p5vdVWEWnQXKGo3icIDPXAKZG0IOXXoolcwfiWuidxyfqicX9KlU2jZBhiAMBnqRIsNYfvQ/JDKPezySoYkVwMaSYkWf69DrBMyJG5FGOEABgf39/a2ur0WiokrRUKi0vL0s7ESGgklLFS5x0IfuZc8zzGMDwsOSGH2l4Q/q3+gln+7TVDa3YKsT5BhgAIAInIDcfq/INITMnpyqVSmV6erpRbxE5Xq5VaLVa29vbhwfVyYlpxkzglvwlESExd4dMYUOsz6iVR/T+K8eTdzenw3CN+ZNKT4Hw6pFu16MjPSM7jIRl89wzE8UhvJNBREmwlrRWTxMKmDuR3HlERMJmyjnf3dve3tzsdDqIaAjyN2KpVFpaWpqennb746eDTNJz0nDrxh7DMhVTQ8mAlXpxCu3zTdOsVCrLy8sTExNE5DgO5zYAWJYlwhqtjlsvIGTLDE2q6H24vGjqWzobZEyHvhF2tiS+wgu3wUvvcCC+UuwsE7OcRPZcRFPatl2tVkV+IjUkvpQvLC0tLSwsmOaQW5YzjDfO0Pc7QOdqPp+fnZ1dXl4uFScAgHPX49DtdoWdyLa4rlzbMpvR5SNTXLRLNcNZITSSbZsfHR3t7u52u12ZD5iIiuWJpZWVmfk5NCL2/BcubTNkOH+IqRF2XQAAQLFYnJ+fX1xcLBQKsuoZALRarc2tnYODI9L0V2mTlb7tDMMAOh8X/UghRv/hLEpNCEmHbre7v7+/v79vdbrC64CIBmOiEG2lUkmWJpms0TEquz4W/OAED3p2ei+CUR6UuYQEvLy8MFeZuX3j5v7eYb3Z4ESMGQBg2/bezu7O1na72/FiblxFhrgMkEQR5etVvVFYRaolngD64RYNAqk8mdr5el84QBznJQKqnTXus4rgkcSruE2kza3Q65weTyba6pcQ9qXIbzpJqa+0PhORCSIqjl0Ll0MR0s54YDCGLkuyNfXlizttNpvHx8e14+NOt5vLu9QhRCwUCsvLy0tLS0bOlAe1uz5V5P9Acfrrntx7k6EXeq5RyTSiMwLzuaLeIUKvulkMRd/j5SlHkIQ2szA3f/369YP9o+PGFkPTMAkYdbvdra2tnZ0d5//P3n9/x5EkaaKomUdkJrTWigAIkAS1LsGururenu6Z2Z3dvefu3Hv/w/fOvJ2e2b3bMzuiVUlWUWuCIAmttUogM8Pd3g8ewkNmJJBQZH4Hh8yMjPDw8HA3Mzf73JxzGc5S17Xp0qZRcpBZ49TRdypltdBIV3R8OAjHoYe7ViGFiNnoHHZh5wDstSULydOUP3OE/cb3YaGGMfKi6pCPFQUA9n40EWfyWBE7Zs5Rt7e3N9c3Ntc3ctzQNA0JAQRjrKKioq2jvbGpxbS5CMxFn2gRrRB9Wu1w+mehllWxyi+F+oqOMBbqYTW1e4Ajoj+bva1xJBhjVo4hh8wuP7S0tPR296yvbW5tpREFIgqE3d3s3NzC0tIS5xxM2cLseQo4qysYgUzRQqRoosB5OLjnCQfp1AiT4XtbQ1AcuFskTi5FB+Q7J2Cf7tA7x88567tv5MwFDtEbQuSdrfuh9nmFPQT+FnZm92jlcDQpRgjWge3t7fW1zY2NTcYQNWSMkdxgpKqqtbW1rqZWUpD86gSCmuUjZxJJHAdDMC8KqKQnd6+Ed/0/Ql1dXV9fX0NDAxHJIK7cunhhYWF2dt6OdKklyImxPDk6V5HZ6Y9LQPgjtzaE8m8oPC9L5gqJzyc6Bh5oWYE9DmdEZIDZ3czq6urmxnYmk+GcIyJj5uQ5UZZq7Whvbm0p8YlKOGAcF5WkenDiC3Nb1zS3NPb399fWVQshBBnSOs9kMrOz8/Pzi4ZhBNzRBKpf9/0cJwQfU1DV91odD+AxRGFJHJg3zZbKS81kcnKrkFwuJ4RQiULl5an29vaGhgZNcy9t/niGQAkHizg55g8VMcW77RhSr0LE1tbW3t5euSpCUooQMZ1OT01NLS2tKFMV1wNKtcJhv8rlY51XRDOaj6pVQu97tGqlkD6W90yFF+J7JkIzFLGzs7O6sr69vZ3NZq0l/yaqqqo6Ozvr6+tjV6kEE8d21he53tLiDTmdwGZUgrPO384ZoTpQBRAS1DbU9w30NT57iojEOQhCDQwjOzs7PzU1tbu7SwAMNUEAKOzcRpa549o1AABQOKa9vDEohIvo7l88b2WEhNpDLo+48BFT8hz3IaBuZpuYjbKfmgufnyhqBa+TWMGdl8S9ewsQESOv2vbmqFLDxUE50RHz513y7PNi744RlDnCzMClrN1VWAlqrlyFeWe2MwFD5EgbW5vzs3Nbm5tq2gjJj0ilUmZ+Il23B4LT/9G/Yj34iQ4G0ZGWvZUGvjL95YdFe0qIg71kS3Ef2Vub57nKw8lXmUR+o8feFtHkrqJcPsUIc41NTX39/bUPHsj01kjAADOZzPT09NzcXCZnLm1miPKORISgmbqEEFHZ1pPkcJO190Z9oyWw/3PYOYUgOtLrOWKLo8g3la8qkUwifzHR/Jq9VSH/3fPdS+179t2kmC3Kll5xxlRcppXsaZLrpOpBD9/BA+LC84vkLDBNE0LITRLSuzvAEAVH0GQeCgaisryivb29sbEegIi4bBDpq1VainB/EZF9o1i5iqIZAXHfUQnxEK21QTniP+egILWJR547ee7kOcpOgm67DhhjbW1tPX29lZWVclcEAECkdHprenJqcX5BWCRFc14EwIEQUQOdiBA4oNzGGWWuIlksx/zUeDkGbZ7nPjwRx4eBHhfKfC00xZV/H2dLRzN3Cc4lQeV4fvV/DjstqvXyLn3YN9vI9SyICKBBPlYRIRFJYe95QFX7MGd247bQJDTG5Iqz+fn53d1dxsxZDNOABCBBZXVVR1dnXUMtoQAUwGxCUZg0cPhfHzmr6PgOyEg48TfbExCzZwshDMHrGxoGB882NTURcdsTbxjG0tLS3NxcOp0GACHCpwe+HOyByOskgoPteQeYy6NIiJrVFy+MWGQf//499Ifs4/e4tCRkuEn+JLde2tzcnp6e3djYUM/RNK2qqqq+vr6+vr68vFxu5n2YlT90HPMhU8IRILrPe36VCqW5uXlgsL+urk6Gb6WKkfmJpB3jnKwuaiNmu40sJ1GoGjo5+Fhjz7Fw8oxPJyOeu08GfpX/MkAiWl1dnZmZ2drYBCtoQUS6rldXVzc0NNTV1SSTSY+KObY0qxJK2D/UmFzeM+1/JVGiva2zv2+gurpajYXv7OzMzc0tLi5mMhkwYwxOsDBs5lLQKLOZtmgunYt/aQmHjaMyG/Z03z3aCWbvRRRCLC8rm2miQEZIoDMsK0vW1ta2tLRUV1crI65kmcTCMeQTRUXplc7H7P8QzLW7pDAm/DBjtkIAQH19Y19/f0tLi6ZpBIZcoss5X1tbW1pa2traAuIgzXX3rdXyUSUxyQW+RMDQEwQzT/ZFgMHyZqLbJ1I8syiOl7o4d4sT0wblnCBvuoTrvQctIPUgb3yPRX4NgJ9DpB6XsLlpAABEjDEPPd6vd/ds7wa0qnkobsTY3E+HXHNOc20dECIAQwZsfX19YnJqdW1dCIGMhJX0vbmxqbW9raKqEggYoMijAA7fz1L0/BGskNJKmqZQFPS+RPj5+43n++N+YFMLTRmOamYHJXOKzbYwxQK3NudggNID29zc3N830NDQoCGToV1EzOX4ysrK0tJSemubQAjgyMztAgU4WwlKfWQTFe0KCBJo7pMD5k9mFTC+BFZReJQszltTz4lbtlqTQurj6xtmQVGR6jD5VXhrxO/J/vocnPkeFn/259SIWw6SYoOZ7ktOaOfacP1K1n6akhlhdVBkgGsrq1OTM5ubmyBMxi7nuYqKspaWlpaWlvLySiu4pYajzcogsP1tCXdMEGGxlFTJHlAoAyWMF6z+eiDwUDk8UwkhhOSl2pMH8uVXlTVEBM5ziNja3tbb31dTU8M0sCLmWiaTWV5eXllZ2dnZJmg2n1AIxhiTioYEEYGVgVXeyFRnzlcAa5fn4GcBQjN7mGtQxmCj+PP7hGX8UX89SuZRiKRmIXMZpnx28VvDG6XQ3uu6o9WvmDkd8dVXfSnKQoHg6uzbL6/O1rmsWGyfUfD79aznsI+QfDQCZM4GzouLi1NTU+l0Gpkz3JLJZF1dXWNjY319fTJRZhgZZe9yRc0FPftHziSSOHHBc+HXphGJJAId5zKEVV/f2Nzc3NTUVF6Wkv54IUQul9va2lpZWVlbWzMMw9yi1Y3AwvPKRwEBJRTVVjxxr/IDgW/5VbHLD/8pUP76F75FnGyDMba2tjY+Pr66umobNIIooemtra3t7e0VFRWF1/0DgFD+Sjhk2DbiYTR+wJDJJ6AdzrMiBIgIgOm63tDQ0NzcWl9fn0ql7EBuJpPb3NxeXFzc2Nyw18+TMMesF77BT9ZqBWnZk/JvCQqOP5f28FG0QSTjYQEHg4wi29GJqC0tr46Pj29ubkoGqzwtlUp1dXS0tramEskDrfbxxkfymCUEIw6rSCWGM8aSyWRDQ0NzS2NdXZ2u65xzOYvJZDIbGxuLi4vb6U2y/EGBHD1z4mPlKso7wTkYHMN0PycJppNoHziYl1v8dxdKAVHi3/Pz8xMTE+l0WlUxVVVVPae6Otray8rKAAAhYJV3ibgagWNoSzHpqSXrs+dXRA0QAZEBymW9UtL59xn2SD2ZIQKEGexKpVLNTU2nenpqamqkUxYABFEma8zOzs7NzWWNnG0MyaK4yTLShOUiVV0/sg4uI99dI5kaWS45JgACchE4rT/zZJ8TyX8ksOmUFjtsWxnDnBqhVWeeP897jzFwme+p1Ym9t/yAqvk8gEiOA9t5ZUFVsXsguFnBhSPPm/IUSujMnIm4AG7pe+czouYp03wQa/5pfxYWFWp1Zf392OjK2iowk6AghEgmk+3t7Z3tbamEDgjAMN8zOu0fo8cWBQfnRwhYLK2gNBfdG9T3FT1+PQgdxYXcMRSOwxeAWdssqdJAfpZy3jMK5E9IIIQdN2ZlZRUtLS09PT0VFWWcBCdzpefOzs7MzMzi4iLnXENdHmQEBgkORAKBmADJKTJpgKqA8n8A23Pk9ywpg9A/HkMldij87R/9NvcLIm6Sv4JaIKBWoY8UViuFveK6lJkRWodRDFYCBRHeS0PvQmQusxJk6xQh/4KfHLzvPeQcHlKHwJqEu7zz6GihvAUOIEAgCOuJbK+le2LpaE/r+NLS0tjE+NrGOqEAMy8KlpVVdHZ2trW1yU0S3CMrVtKNE4tS+GH/iCNt1BER0eb2rwei2T0qQ4Czsjhw/mLzfeTMxeKwcwGckMnEQxUVFR0dHZ2dnWVlZUSEghgxALa1tTU1NbW6vCKLUmcrXEYliFn35fY5NuTz2ytD7csDbGM39to2gTpFKF+PEiiFnW+OJo+7Bac5bUHzMyNglL8veR7W8/hh8tzpq1bryxmlVwXKN2Xb+a6fzMnCIbhI8o8ptzb0ni+AwvobWcw7LsTM7Pz45MT2Tlp6CZAYItbV1Z07e767p5M5RTqtag+0wDqjteLnY47FnTDt63md5GPxeM33oBTC9k/Nzc0DAwP19fVCCHvXs0wmMzc3Nz8/bxgGU5IN+5O8UD53uysfqtqtFQ9RfByKt1MleR4BMOTzkSBivzPP6w7UkftTnGrKEvN7jIv8dP3QYtWBID+sbaxPTU2trK3ZBxEgkUp2dHR0d3cny1KFPsKJhX/eVcIR4ujEkTXmVHewHZyA0IFm2m2MsY6OjtMDfVXVFUIYtkCw/ETLkk9kLwjdg7mmSphjts/mR4hiCgq7txTDiC943htHnXmNMSWa4jlTzoGFEEsryxMTE1tbW4wxYU6zqLy8vKurq729PZFIgDI9LqGEw8LRq/j4fV4dXHoy0dXV1dfXV15eLoSQY4qItre3Z2ZmlpdXAcDeQNBj+5Hl5/UXbvp/hXdJjlpChKI5Oh0kF3gfrV/p6PtSGAiKpVDy3UhmrUZJvyjC68jbo+QJPCeWlpamp6d3dnasZWWAqLU0NZ0/f76np8e/X3NJ18TBMe3Tlkc0OHYnf1UjrgyclNFK/0B1l1bTpWoxejjnzc3NZ8+ebWxslJ51SZDO5XKzs7NzcwtGNmcGlq2SNdAYMRTEyCVPzfJ9Pk6Z0FQ9rvrjVZDyF/yz9eCF4/AWzoTWX3FwK282GB6ffT6ERXfzWMa2+9386uMN2R8CKyqFCydhR4HUnSmCahjnQVzVU1g5rs6DZGb+dyrj4ju4Ig/qGFFrrhQFIAgB0juZ1dXlxcWFne0tWRmGCACpVKqto729sy2VSphVYoFd2EZcTkGxPfTF6uGBhexTTpYWr/kR3UM8vEiJwDaM06p5I8kActAJsnKOKdLBLAJtZoQ6AEwD2pEbch8NMxjb3t4+ODhYW1vLOTe9Qoi76Z2ZmZmFhQUpPgKZsOAO8EbYSdxXJRmHsC7zxiSOZ2QsTObbvEjVfYCIQTHYaHjtB398OAIUUcXYFCpTvzivymLRhuiOOB4TP280qG5+dm1IDYnLP4evKklPhOCkmZB1FoQisHokszSiy7gngJ3d3eXl5YWFhZ2dHZIJ8ogQsaKiorOzs629RTXiPcziYwM/8/EwsTfpV4If6ktUP9sfjqBV/VFwZ8JiMSlAIBKTZhsAMMZ6enoGBgbKKysMwQVI/gptbG1OT86srKwQySx2goCbq884MGImqwhAPj5ZXCE/h8iuDNhzKD+zFc3lpZ4VbXt1GDGfAeCXA4chGQJ0pe+Qyh7y96XC5zLxwex3Z1bN7Cok8pVzSM4RsqsXUR/TfLKZROoszOZTO2ejfb5zpv0429vbK0vLy8vL2WwWEQk4Y6ysrEzO9Lu7Tul60iJdC4Bg/eV9CAjiaH1kOFY6eF9wkn2K/IONCy6EaG1rO3/+fGOTi0+Uze1OTk5PTU3lcjlZbFiSCM99/V/tcV+EENkhmfbM+veg1WRIxzuUSUx87eVvBbQWpIB8rZBnudkeNKVziRVPDojuBq+Gc+lOeZXs2P6okb1QDhHT6fTs7OzKyko2m5XEB/vXVCrV1tbW1tGeSCVh3ySpk4bjNksp4QCBaOeDNseFCnncXing7BEufGPTGneI2N3dPTQ0VFtbS0RyBo5I6XR6YmJifnZO3XMQADR1EatlY6kmuyNnBIEVg0AlCFFC8eFZLBIDMR180ZcfAa0G80fjI56IW+lvnaiYMnbSO+mZmZm1tbVcLieEIS9hjGmMVZaXtXV0tLa2Mt1LfCihhAMDU/49SoSth3C7xZ2DzkyHhK7rvX19g2fOVFZWkhWZRsTNzc3x8fHFxWWwWCTq5f44hPw1cHSTD/4aeg6qFY4cy3k9I0f/dsJxfP2zMXXHQWqZiMVc3loAQHRjBnYnT5cjos3NzdmZqfX19VwmKwlNJDCZTDY2Nra2t3d0dNTU1UKBT13SQxLHcL8zFV4xIV8bypctP1s7T3n8347RTP7pNBAXRNTU1NR/+nRTU1MikcjlOAhiSNndzMzMzMzM3G424wR7Udg5iSxbhoH00yv9VW7pandBZhmZHlkZsJcWKIa+teQHACwiZf6WsSB8n8POZOadQyEKFdNBI0+tT0Rp1mm4H8UQ61rlXZgREu8JyhGmVE5+Vk83V6PIuCiAR/JY3SAgZZqvVOcDEXd564jUHZesGjq9DlFTnshpbbnHmawGCad3CXOiy4gAQUpMbWNjdWx0dHlpCUFoMnc7cEQtlUpVV1c3NTXV1dSD2XSMye0FzSpFyveI34rvni+6SRFnVXnMk4+zuXNUiJZO0WAhn6Nv5z0zoAe6D5HVz0mOJjmCrPEoN3IiMI97JAnnHADa2tr6T5+ub2gwsyoyRGA7OzuTk9Nzc3MyFAEADOW+UHJLGkYkXUWWbEHTcWCHQLwbPwmya6K4tMwWJiJGEGgY2fp0T/C/wfjvNP61+ykTQrRYdJnKuDb1kQhqooKjKRSeCYJkFzsox1D+diYwCXQIGlmZucDsgESusDAjIlVTSwVkf3fmtwRAxHRNCLGyvDY6Or6+umZnWiGiBNOSKb26urq5ubmi0rW9t78hrL56+LL0oCeEccpXLRH/8RIkwvo2QLCUU4dwWAsXend/af7P/npIEQ+gxAXtaAQBCSGsWQMDAAEcEQ3D0DSto6u7r+90TU2VTJeJgECQ3toemxiXKfCcWKZJzZCFK9EIEIhoW4z2GAyTV2jpO5JkJWkJE0hL1Z6Hq/X3lRPWzvuxCooOgX7JGRCaDURM69F/muuIfF97iEP7j6N7GPhmDfYEhKwVNHt/C4goo9yEQmYIsoIIzJHw1sRcADcn2eQbudaIQEROSp8RhErQjjFmZHOL8wtjE+ObW+tMM1MDAFFZWVl7e3t7e3tdXR0AMMasnc4chpC7YRS9FvJ0+7OaTiSOyYAsGHaoyu/h9vjLAy+Xx8srKppbW1paWuobapNJM4diNpudnZ2VSxztM4XbkWkbOp7yPb4q8A3XmC78jwyH55jff1Orr1hx1hTNK++iMJgEBz/V3Jm45H0if29U/5XT1/X19dHR0cXFRXMDJhREpGlaY2NjW1tbTU2NWj2Ag5vPHB+cVMFYQnHhX7cl3T3mr+H6RQ6lysrKlpaW5uZmuSWN1B27u7vT09Nzc3O7u7vmBcxRZMq/LEzaqPdiwdNqd4VLKDICfU/Bikx1f4QVh8pLtK2LYtQzPizavwMki6EAIZX3/KT2YRsMGWNseXl1dHTUXAhj+4kSCaliqmqqwa1cSnZRCYeC46voQ2hEQm43bg4uxqqrqptamluam2tqq+xM8Jubm5OTk4uLi9ls1i7EM+nwTEM8dw8bfYgYkYnMMxczcwnHpRcdK8T33hYfcaz6vUnIMCsisPA9vyxTfUBA71Kn7UROGvUA8oR9jrXcx69cbAUkgOYXF0ZHRzc2NuTlggMJlMnvOjs7k0lzM02Zlya+UXR8aWOHiGMqJSnEmedfJWiujCVvzgj/KkfrAiZ3k0GNAbDKyurW1taOjo6KqkoBHBgagq+urC8tLa2trHLDEMKQ/ZoRMBKMBIQvbfPY+hKSj80jh5y5DjPfSiLfEX+OBub72wP2PDT8eVjiVCBObcMyvMR6Rs9L8bezR0h5vnruYZe2vwkYs8JZ/ifyw3nLpn1gRnCZvTI8uPLC2XTP1QgokJl2BiJsbGy8Hx1fmF8yH4oYCdR1vbm5uaujs6qi0vPsAEAgyPWW99Pf9oOIvno4WQbiZKwoZZHwYz+9JUwaRN9uLyBrSZeTylqR1f7d0KR+AWWkVFXVtLd3drS3lpclhTAARCaXXVlZWVpaWl9f5yLHgXNlbAoEbmoS7q4KkyklHFMvJNud8siup0blT2pYvz4NRx7ZK03DkHYOe9eHMC5Uwmbg58BLAkf0XrpQ2F6ZEk6euD0UvUfkH3fWvjP+BcvmtYGeLFfCO3VcADDA5eXld+/erawugZXVCAUmEom2trb29vZUKuWdcJrt5rR/IX21uAhrscPUdyUNEgcMgLktk7woYk6i+FIlAMHGJPNmvVCtONsEra6ubm9vb21t1RK6pLtmMpmVpeXFxfmNjTVBhkkdcnjoTk1UJ6/n5qqnQLhPNq8lM2OR56BzQBm0hTsd/G/k4EZBtEXht28PYuybZYa9iMAGjNYvAecHeAYPSo5Z+VIBguqpfvVkXAUAAdybsUiQN1eR2/6Zn59///79xvqWTCkse2ZZWVlXV1dLWytqoc8YrVmOqYvkcPEhNILtU/Q74COCYHaHk6lGa2pqOOf2T1ub6enp6fn5ec6t9G++QsLcrh6vJxTBpxCIk2I3qDb3EcDvuQtExIxLXeXh4vtYsIOuRQZ5kukKIvLnj1B7oN3rPCI1sHpW/BbW19ffvHkzv7hASrBX+ok6OjrKyso8lxwbnJQhUEKhOC5vNsKM9p8DQSadruudnZ2nT5+uqKiQi9EAwDCMjY2NqYnJpaUlSYT2iSnXHgge886jXNTKRGuljwYHNKMovr0UZqUcsqSNroanO/m/gmKGeY4DgKZpKytLb968WVpeBiueLIRIpVLt7Z1tbW3JZNI7BVXyAJZQQlFxxBZpGOINeZcDV0ask8lkz6lTp3p7U6mEYRhyBm4YxtrK6uT4hE3iIyIC7lElQgg7o7W98Y59M7/2sT+7dk7wqZvApzt4HcQAAHzLl04WUJGQnoP7L5yx/I3jvOID00Hm4zBlYqXEsz2z5jCTxlWgxmbnFkbevNvY2FDbqry8vK2trampyaYR2b8es7nMscaxHlFhrCIPohh0vn2szMz/MiYMJIRoa2s7d+5cXV2dTW8DgHQ6PT46Nj09aRhC7itp9VEW5nsKnZYLoTpLPf4ItYbh8WHVn+1xe4d93Y8K3DM3JO9V+69bYfeN4x4KYDx6PN9W9qgwX1LRJQ4pf/Z7N5/F0oJ2/Ja57Wk11a69UwYEsqisaq+urU1NTa2urhIwZLq8XNeSra2tnZ2d5eXlxX26k4Ni9dUjYVodQ/glVfTJEtGcysOAZyfEsM8CfLxFAETs6ekZPHOmqrraDkUwxjY2NkZHR+fm5lCQzgBAAApAYbNWJRzZgkL6iNXy/XulRdRfQJA09B6K1ibxR0Qcnl1MiKC/sJILrW2c8+NEkqP6ZCCDVU2h6N1D5whMWMlOZeRNEehYHX6ONipr/OVxa4cmczc0IgIQhmEsLS1NTk5ubGwR04ihnJkmk8mOjo6Ojg57UUDeGhbtcfeI/XAcPNy0mM/iJ+2WuEVRQGCeJFZuvkD8LnRQ7UwQS257wt7mtcgI7Z0HzeOJROL06dOnT59OpVKSsirH6erq+ui7seXFJURkmlqOxdRwtBdz3cU3lwlrNf9KCEKgqKfzc3OKMmfZJ8IY8cWtVWESwLMS2Qb5ZyjufeggcOYbu2771z6qp8aa2zJ/+iFwdWzzCAGTc2GZtCviLtbTMQDY3ckuLCxMTU1tbm5Kl5B0tCWTyZaWloaGBjmL99036v2G8YyOjtl6ZDhyvXtQiBP+lVyh7p6e8xcuNDQ02H4iTdN2d3dHR0enpqaEwc0ltkwWKDyuTb+bUx0kiGjHiiHIBx8d+M3nRv3YzYVoT3Nxwxcu2Rf+xosCf1aUwPt6fvJEipzjQdRfSTjK5XJraxuLi4vLy8vpdBqUaIamaR0dHb29vbafqOSAz4cPVpyWYCNaYnu+GtzQdb2vr29oaKiqqkr+yhhjjG1ubr99+3Z2dp6IZArSwHsFrnH2zBMCBWCwclH3vonxsGGI1nrFw2EquH3dK07M04ODabE9IqLmEU/k6Zz+x0FEzml5eXlpaWl5eXlnZwes3Yg558lEorO7o7u7O56fqIQSDhkHotDD3CjRE4GwS3JGrqysbGBg4MyZM+Xl5XIgSxWzuro6MjKyuLjIADWm+ctBxLC1Th6olPk4ss7/LIVY4x+vJ1TV7J6FC9FtHlObBL4XFf77FheuRxARphRTj0Q8NQAYhpAL+VdXV7PZLFlEJMPIJhKJlpaWxsbGOESqEsLwUbRdmNSRVk5TS2tf3+nGxvpkMimdjkyD7fTm27dv378fk1vSWDtbCe/GJ1Y2Cg+cvAPkeEa9Q8IXnbOPRI8NBdFxzqPy03t4T3uIRRehzsV1Eh1A+fIZozN3+DKMFCK75Zpe9bMrlwoiYyydTs/MzCzMz+/s7HDOAYTc7EDX9cqq8raW1vbOjlS5acTLR1b23TjyCOe+MgIoKOJICeRQfLx2jwV/f47/7vbPGTkMmAJBZv4CRsBAhiI01tbR3ne6v66hXtd1OYQZYxtr62/evJmamhIC5PMywDDGovdekkkkSA7wiBVDYSxI9H1yk1qiW/Wgo6+ewbhnfmtBdwxEARImUCP42z/gjagpo44MAkJ6ixP0sn5FRJXLZlsvAsjitzIAJjdJ2NjYmJmZW1pY3t3d5TzHrBKSSb2mpqazs7Otoz2RSEBwA4b1tINGoUy0vSHOc/lpFx7ZWEIgnFaKJ9n8x/fWyHvpq3GYoS7OjkB73iGESCQSnd09p071VVdXa8gQNTnPX15eHh4enptbMK+S82cUgEID1ACVHpVnKu7XJoEZZwrksJwU7Mc+jMNAZHLTABnTDaeZ2se9h/NlKgQA7+wyEkWQt47Dy5/DMaQlJRcVQSBZHkwRPBG2nwURifja2srU1NTS0tJuJs1FzjKxoLKysqampq6uRrpN81U5+KmPhXI+apxUP5Hj/gzc3djtDdVCZtdyS5qqyipz17P6Wl1nAMAY29raevVqePTde7klDVlr74k4Kfs+qi52UKK7aj2dWgVlqg6b+bsuPDZRx+OGMOd3cZ1EMleC+rrtDmCHWYp4xwCx6DuiPq8aDXDqgy63jicWJJ1ETNfWNzfevHkzMzNDRNJJKkl2lZWVzY1N7e2tzc3NgUZ8qUeW8HHCQxeVHzxCwBZKcqxVV1fLXc9qamoSiYQ8uL6+/urF64mxccMwIEbE1X+CXRNV+4RV1TySf+DGMgmOFRemeChsJqBKXYj01pmfIeplHQO4nsKj71zn+cgF6mf7V2mdLy+vvnr1an5+niFpurmZZoJptTU1zc3NbW1tcivAw3nCEkr4AOAx/xhjdXV1ra2tLU3NNTU1mqYBMURcXFx89uzZ7OyszIsXaDQKIbwbJlgnFKuGEG6oh+C4xH4OB3mbOq9tYLVs/pxu/ikq+MyYoiBMdwBTGFIYcL53IhPCYpOFaJqGiPPz88PDw6urq4wxTdOIiHOeTCZb25rb2lrs9RDFnRV+VDiZfiJy7F1SlmX6c7UwyzJTon6MBMp9BOytRqorq7o6O7u7usrLy+UGZ7lcbmlpaWZmbn5+PpvJCCAEzSwHBdmb+QEAkWQVyd5p3sSaq8sNj8E3XY96OLcvKYZgVTkdh7POVi0zfsnRXuq9RbC9yCtSnTND4h7uvVoQItapIsqQKRTV7kdEj9/dX3jgM8r+Zn4R3vxEnssZYwi4ubk5PDw8PTVLxDUNBQIx1DStpaWlu7uzqalJ+vXzNelxyBxRLOznWcLWn39I7XMccHh2ZB6Oj8LRA98cW0KuKauurOnu7Onq6EzqCbn0Znd3d35+fmZmZmFuNpPLmsoCrTxEVjYiyLfaNPCzU43Y0V1FyjFS/oJ6sir5D66f7600FvI1Tlx3j3cPE/62arD2wiMrUgoBuaKOKO0BEakTRXL23BAgQ7sEACZJIbgEJbuiujeNtNpXVlZev3qzsDinujXlTmenunvq6+vt+x7wgxaE4vbk4jKPPFqmBBvxx3hEG/ppRIGZdPb7TuNwQIIv9MVEdV1ngLW1tT2nutra2jRNI+CEsJXenp9fnJ6eXlxczOZ2rdgFIIGtX8zSgnSNZ2buPwEA1B3ZlPbKK8iKJnv3jfjc5LDetZd5kOr+UH9T975UFULY/t2enSUxgkFszY4jZhO471zj9m6DaO05rmasC0rs6Lxrf66rCJIdkcld1TRtfn7+9atXK0urqi8yVZbo6eru7u4uL0+FPW98HJFyPi44wWrG7hB+17X9WXYm/4UeryQi9vT0nDt3rrq62jAM+SvntLKyMjw8PDExpm5J45Ts8cISQ0QZWrTzinmFrI9feszMoz1AKP8eBvwBTP/nPQPBETRgMTxlycckhO7xwQc7jIL0uucp5L+bm5tvht/afCK00iL2dHefOz9UW1sbWo3iPE0JJZwkhFlUeYWDruv9/f0DZwbLKsrlWmYizOVyCwsLw8PDMzMzAK69SDw2uteaDNpVKlAaeHQQBWmlfaLoBR4p4lpE8Z/XtjTstyZjv2qI66hARFJ3K92Nh9XK25dCPttMOvl1dWX99evXc3NziGivu0ylUn19fWfPnq2srDzQByyhhBgIi0EeR1aLf3jKSUd5efnAwEBf/yldZ5KjiojZbHZuZv7Vq1dLS0v26hvvyAWTbZRXHNnKyD5TpRZiiI/pyKXc8YTnLcgPgaGmfd5I8oxczNZwttehzXEKUqARJzPG5ucXX796s7y8zBhDxmRPriyv6O/v7+3tkeshVByHedzJwrH2E4X68Pbt3CN7bQ6C9AGd6u29cPFiTU0N51yuRyOAlbXVZ8+ejY6OEpFckuYpxLtqkRiCpmYsQpKLT4W5AwgBkulhDcttZJaUJw58fBgKYcEW+9fAaHMxIzOuCVWBq6Oj11TvOeYTA/kz+wSuAI+A6Y+X8DOJGBI6/AghhCCxvLw8MTGxtLxAwJkGjAC4SOh6b2/vxYsX6xrqA2t1bBAn/nOYHObjMyqPP+LH7vytenjtTCFBLY+0cXyvUgUobCABxEkkUsmBM4Pnzg+Vl5eb2w8DCMLF+aUnT57NzMwgIjAnsGbCVY7SXoIcPQICsQDekFl/JWLh1WIOot+C65wjtb0iMrbEzEVil5MHBdnu5J44AbloxUc7g5IuIR8HWYBL67H4WS2sMwVYmaoFUCaXXVhYmJycXF9fBwCGOhATOZFIpAYHB4eGhqqrqwNL+zjit/F1U5yRWILfwmSSYl1IX4rgjITdK059HBTBqlT0gpwV57hRVlF+/sKFgcHBRELjPAcAQEwIMT09/fTp04WFJcZA09BfjgDGCVWPTxgCcqoGXWLvvRVPvoWtFdgzn/SARkf8kiP0S3AJe9aerqxVfj0uSBKUIkq3bl2cdpO7DcrASNg5RGRWjILGgroSApjNQfKvs5E2zNZWem5ubnJycmtrCxVPaEVF1dmzZwcGBlIpL5+ohELxAeqbQNkUwTninGua1t/ff/Hixbq6OrsEXdfX1tYeP3787t2odM+rhUfYi/7j/pMDTyjgIU8SYrI694uiTFRsN4td5nHzPQu3rPSTkMG3CFk+kTk7tZITZTKZxfmF6anZpeWFdDotD8rNU5PJZF9f36VLl+xFASWE4ziGHI83TozS8fNVwz6TRS8NFBe5XC6VSp05c+b8+fOV1XLXMy5X5czPzz98+HBibBwAGLK8iiDwhKPVHcdQSIZjj6N1z6FddUcwUj/D0RNU1cfxV0ZdaOYPd6uFqG4vWwExxnZ2dmZn5mdmZuROZ9KIlzeqLK8YHBy8cOGCn090cvpSCSUUAapgKUjIkALOeWVl5YULF86cOSMnxkSkaZqmadPT048ePZKhCEIUkCe/akFwKUR1zs+KnI3hw4bN5SlI0XjJR0CeFNfRKsb+tej2A5r/Btw6r3ljVyna1JGVl/vwzM/Pr6ysZDIZcxbDGABUVVWdPTt05sy5srKykPuWTPe4OKYme5wIgBrptSkh3lVdqv9bjgoUgEKVaJxzxlhDU3NXV09bW0tNVbVMhQWMNjY3R0bevX37dm1tjYAjgYamtxIZyaIkaZOIEABBIDieflkBJIZk+stdPlE1A0UB0eAwv2/ECvZYmX3ylR92ZnR+ikNyEtk4IAbQISu8iP7Agp7OYhaoh0iN9tgfpJWg6/r29vbw8MjY6OjOzo61WBKZrtfV13R0dHR1dbW2tsucu8GO1w8k3luUOG1J3+SFp22j2zlvjok4WSeKg7A9jEPPt9YgS66oZBgJIXRdb2lp6u7sam1uqagoY4wRcGS0trb2+vXrsbGxjY01IENyMbwsQjPDHTElywAAAAgibu8zpci9wliKYVCLsPIOOFH6WEUUEFmNo9fi3yXiqgiua/57qfzTOC3pMsSZ980ep3mU04aEQOhqB/MpIu0rCwyAMcZ0XV9b3RgeHp6cnMxkMrYS0XW9oaGus6u9s7OzvrHOv0nC8QuYHYTpUmiZgZbVYRtXJwIWq8JpMTfPIrol4+MI2tye2MtVC+a/xJCYECKVSrW0tXd297S0tJWVlcnJjgCaX1x49Wp4ampqa2uLC+7XL4xkcnmvpRdkSwuLhOjiWJl7OluaSMIrGVyvIWxtQTSOlkl3gPwm29UedkLAvpnR+5kSMJnWOqTIiGVoRYEzzbW6KBKzOo8Xcv4SMItxg4iE1UoaMsbY0tLSy5cvpyams7ldQMEYEwiJRKKlpaW7u7ujrb2iooKxwE0ShO9DCaE4pn6iOPAs74/phQ2kYCCirun1jQ2nTp3q6uksK0vKpWfpdHpqamp8fHx6enJ9fV0dzH7Lxk4GaXPL/VWKruTeIpYnAfsdk2rkRD1SjLpFQXJwjoE1L6y5ovndE0nwnG1HhzxRI7DomgCwsbb++PHjkZERzrmeSMgXo2laR3vX0NBQW1ubl6JcQjBKamY/ONatF3P66pjvvg9gDVXGWCKRaGpq6u3t7ejoSCQ0qS82NzcnJqbGxsZmZ2e3t7ftMRtWn0BCR8xnCRAUoSvOJJQcky5TwWXTFxQC/RgQxM3x5YOIsTfNQcNDiFPeoNdJFGbzhFwOkje0srz84P790ffvAUDuaCYQEmWp3lOnhoaGmpubA6/94PGxPW8JNvb/6m3ZYlPzQIpxIsZYWaqsubm5t7e3tbWVMSbjf2tra+Pj4xNj43NzCzs7O4EUkmh7MvBM/6PZH2LksT4+OBrfU+A8tKDLoy854jmLrJdPR5gf3NEFVblEEKBcsxgyN9OcnZ65/9OD6elpxhjTNPlrKpUaHBw8f/68XB4EblavG8fa/jw+OHZ+onyWaxRievgR0drJBRDRjvKVl1WeO3f+4sWLFRUVOZ4lIYDIMLILCwuvXrycmpoSQEzz5MRSmeRMEAYwmMDZ8cTz5y2iaCiUQ2RXJKZfv9B4fnR9gmPLxTWnojMQ+V8KAwRByJjMYFWsaigIjszLp3b54FGYUVy0k0cwufzMbiI175U5aVMyqbvuykEyHVbX1169ePnu3btcLqPpiKhxThpoPT09V69ebWtrMesTFjPfz0D9oBA6fy4hHvwtFjPvQxiD8lDhHV8oyEP5Q2FyykGrrq6+ePHiuXPnksmkXMtMCNlsdmZm5sWzl/Pzi4iams3af5fAmJvHgW4t/hdIedokmi3lqQeGkoAi3pcn901BXKT9IH5/2E99BICIZhUFMo/IZB8fGcLiumqOIfsIJ6HuaKbCtduOBfvXpaWlF8+eT06OCzI0TWOMCQGaljh9+vSVK1caG+vVC2NU+vA1zsmS5yertgcBIdflo/VZHnWPtYNtJVL+PMcj8tzZyO87sHbYtGU+WesSOBEA1NfXX7lyaWCgnzEwjCwRJ+K7u7sTExMvX75cX1kFxuxEeAKArDUWrjKV7HtWHiJOxN3TFvLwWO3PwQ8VIPKOlh8UBlVP7dfG8Ee41Z/2U8voy80eeFRqBiXvLJTrpPYiNY+qJ6St9kx5kCmnERczMzNPnz6dnZ0FMLcBIYOXl5efO3fu0qULVTWVEBJdM2/u4Bj2w2OEk906e+POBXouOSdd18+fP3/t2rXa+jo5vmUQeGVl5cGDB+/fjwkhQGPqteb4R5f4sBPCecRuGPzvoBRuKjr2sBhNyh25U8ARvhFHx5CdkdFiCbsDvCqXwUNnsIGInHO5J/fbt29nZmZy3JCxKR1ZIpHq6+29evVyU1PTYT1fCR8hTt6KiTD94qfs+UFEQggueHl5+ZUrVy5fvlxRUUFEAELTtEQiMTs7f//+/YmJCal0IFIFyNups449Bw8FAIegvAaeD64fvfrK7yA4QYi24/0/xdQjefXF0SqUfZ4cuJerCsMwtre352ZmR0ZGFhYWhBDIGAAwgsqy8oHBwStXrtibaX6c1s7BPPXJtuc/AAgSHlkqhX+gR95jvwUe8SOAnIhIMpu1kautrb1x49bQ0IVUKiVL0HVd07Tx8cmH9x/Mzc1pCmWVBd0les4SISrBN6vy1/YY41DtkEDPSHzkTToudXq0lD5kRFCo1Nm0On32nGYXwhgzDGNjY2N6evrt2zfLq0tgZSZijFVVVZ0/f/7ChQtVVVUQ1APdDXI8nZXHCyeggVTfPAFwEtKT7We/e1643T/skzzLdtQhxEUukdRODw5cuHS5pakxoWuMASIxxhYXFx8+fPz+/ftcLicnBSDs/m3mehRk2AWqnEBp0Asg6Y+3/wCEgJCYnm+QOFMC93i3WVFFQnwWkhofjhMlDssfEbVW3NJ9+cVchK0P4Ap32B+CM+1bpTnXyr8DmQXlb2cBXABHYgw0k2MFjMwaCpVZ4Okzth3gzmYCiKgn2G4m/erVq9cvX62ur3HOZS4VDbC8vLy5qeHUqVOnT5+uqTON+NB8T0ecoCgs5lNoCfF/VcNKcUo+MR6QQ4Enm8aecSgcIjtgazNDQ0aBrIEpH+Q4QmTgyj0HlrrhnJdVlJ8dOjc0dKGhoSmh6Qzk9Blmp2cePHgwOTkphGF7e826EEkJQAIRNBIIxNwEFgHECaVCAQCwlvozIbmzIEBReeqVaCpNdKSELSTV8a38SADxxoI/f4qqNST8R8KK8oAFjf3occdCrnLiRurZflXiVx+yHLVv2EkSA7MXhXGLPDfah2VfGBfYX0Pr0SSP1WQTqPX0OCg9u2pK40fX9c3NzefPnw8PD29tbeW4YU5KGauqqmpubu7r6+vtP1VRURH4+KE4QI2zH4ldqOUjxYWGqBVSchwr6wQY80eKQt/vXuwKDRkDlF2VbPonQz+HAtwyhzEmx0JYLUkgCSRg3PMzMRLIAJCIG1RdVTt0/uLAmcHa2lpd12VOVSHE2NjYgwcP5mcXiEhDU+AjaMzec5mYLArIxeUXwDkZZhYkIJVX6JWZSv6yMG5REOTqAZR/kfq9WBo/ohyPzip05YSE2XOsyaCp0N2OD6HqZRUhcxkEQEd9MHMdjH8HuoDPB5OsOhIMUVPZqXLOa9VBWc8u6ylk/kNnp7OwChMRY4wxfXl59dmTp+/fvkun04ZhCASBQtO0mpqa9raW0/293d3dyWQyUJlabX5cOOnHH4EZno419jBjDxP26tDlPJdIaJUVjf39/T09vSMjIxsbW9lsljG2trY2MjIyPjq2trYmjRsIMe9kgS4TP2KxpXlyaN0KesYPCHs3d4rSaMen5aXQ9IAIpSoBpZu5T5A6XM4RybbvJWlIY9rm5uajBw+fPn2ayWQ0a00vY6yutra3t/fUqVONjY3+YksoHCXDXcKvfYXVOMeyiXDvnd92OtjqwP6Jc55IJFpbWvv7+7u7u+dmZre3t40cBxBLS0ucxOT4xObmpqaZmX3lzAERwUpIL7Pm+bQGc2b+bu1jXwLgncybDxoo6yh4Qu5uERbyWqHY73QPyxILgOcdRb/3QIG8f3jshOOjgCTkimb1CCcKfAfyQRiylZWVe/fuvX79OscNTdMIgAPputbc0NTfd6rnVFdVZRWWVEwxcSwF6ceNsFW9nsHuCfKFwQn++ab9MhogyRjl5eVVVZWn+we7urpWV1d3d3dJcCHE3NycznB6enp7c6usohykNANy1vUQ2cxQWTQpFHWPjCIiBAQiVVMgBZwJkfMgiKOPDgNFcRAEMG0BwMw8DgCFczmL2yBFLzD6Xk54KR/bWn7wdLCw8xljDHBubu7HH398//49EWmaJp1QiUSivb19YGCgs7NTOonyVbMkNmPhmDaTyiFSw0joCuvJfcSsr0EDQEoup1jfGnvlVybN79rqmitXrly8eLmsrMwwDCISQuzsZKampl6/fDU/Pw8AaGVQZ4CBnnULAkCAIAboi92Zm6A5g8TdpVVioRPs9UT/lAPkteP3DH8cOBphUWLVUxsWmQm8yimZCN1+fa+PX3qLoxc+OKSbwMmPZ/OaoEKi+UrFg9y9SJDKRCAgFFbNXe3pimO7ayg/CCFsloE6HUqn08+fP3/9+nU6vSX9REIAEHV1dd24ca2rq+Mgn3H/8PfP4kaZIiJIEoEpWvxHjqloPXTEIXdEIzrmUyjPqwB4eCLmZ0UOMIu675EMLi1j7X1mo6Gh4dq1awNnTmsJJrMUGYKn0+mJiYlXL16urKwwxuSemyZZFbgALvdHI+DOLplk8y0dPUJEEa3qlZOEQGgyXiEqo4Ff8Fls1mj+TjT2wOmLYA/F1zsu7Ml0FgDmrqmW7pByW+HDWgQAD3fV/KpMjY7WMSR1hNXDvUyrAK1HjDn71xAR2c+MKPlxYm1t7cmjx8Mjr3O5jKYhMpL+yt6+nuvXr7c2txwvT9geeal+VrWKQvt2MMj88zPHPf28BAh6g/uRD/5ro8/x1wblX0RWL79JaXFRGILmmuNYHFW087ZYf2QxSc0TEdra2m7cutl3ulcAGYIDYs4wttLbo6Ojb9683lxfY7oGDIE4A0f+EJFA4EC2zpL2NRG6LEmF7hEcpLS/2qZ1SBOpPgJEjD8u9odApp79095Ky3Oh0jJR3EB3/kHmOJiQCMNtDPMcIHSWgXvUSvEUTdgM0eQN2StmPDt9C3BZJl6TCdFhsMokXPYefML16AwZIiwtLTx48Oj9+zFOBmPAAIhzXdfPnj17/fr1+vp6MDV7/DlCyWgPxQlulwDWtG8YSN94zOFBRJxTKlV+5cqV69ev19TUqD6IubmFhw8fTk1MAoCcXds9O07J7gMO6Q7MlQWh18as/JEuA8rL4dwLiuuUifOajnYDmsjnjWrJQN0cHHTiIpvJLMzNv3//fnp6mnNu75qRTCZPnTp148aNtra2fT5ICSUE4UB1TTGNS4onLvZSMhEXvLq6+saNG5cuXSkrKzMpGIwR0eT4xIMHD+Zn5+QRUNhJ0uIRwlCLMlPaB91F+cbg+FFUTiJi6vq8OHLHkAdhekc1S8IoDx5mBGOMc57Z3Z2bmX379u38/DznHDUz+V1Fquz06dPXrl2RfNUSSjgiFNcTsXdPtMdLEjh/8ZeghgPBPSqJiHOey/GGhobbt2+fPTuUSiRllgxENAzj3bt3Dx8+lKEIbzUwnuNS3hTNL1BsQ/3ocID2SYSMPbibHgncTxTaowIfXJ2zeGYu9gfGmOB8e3t7enLq7du3S0tLZKV0ZKhXVlaePXv28uXL1dXVRXmcEiSOnZ8IQaC9ZwEpf/YJfmEa5K0P4w2Zq4VBMOtn6WlEMw+cUVZefvHSlWvXrjU2NiYSGmOM6RoiTk1N/fDDD+Pj44wx1K1Arr+7yyW+AADAQJPr/AWQGhnwxx79kBN4ADXD0eHIlELjscL3IfBrYDmh5Uc+7F78vqF5dpRfZa8L88Qfhn2PQu2VviwGInC3IwDwt4nFR2P2RDGpJ4xs7s3r4RfPnq+urnLOrX3UIJnUa2pqTp06de78UFNLc+DGHCcQhxkfCGQ5lQDh0bb4cZ5oxkr8do7VH4iIgoRtTPHr5A9i6GcSCQ5GTtTU1l+9fu3ixYs1NXW6riOiDDy8f//+hx9+nJmZ01hCeo5UFWPmbpBZJMxMFi5pQEQCuKVZ1AwRaO9v5VVbilj0Rxr8rF7rHAGmmg43BF1KO7rlw34t9Kq9sUJMBGtz+RP6/xhhwN2tTSqtXSklM8C6KloH7Q9RMeogOLUNO0Ml0wGY6brsbETShpGfzUZnTNf1ne3dly9fv379enNzk3NORJIZkUik6uvqTp/uO3/+fH1t3QeiYRwclK6xBl3YWCspmmiErY3dQzlhOigKlrjl+U7j5v5QaPGPTKIQEJiMVAQNwZXTyjRHiSFo5jmMBBmc86ampps3bg+dPV9dWaVriCCSCY1z/urVq59+ur+8vKppGjCb5WFvSSYYAQoi4ATcNVe3Vj8IVeP4ntTzXI4OguBZTKRRvbcxtYcREWiHxNE+e6uhl7Np393XON5VIhEaRPYcBs7M1GY5KDcqCgJmiOodnUeTNNuQvTUBGBH6ZzR2AiYZ7bZDZfJfnWnr6+vPn754+/b99vYm5zl5lcYSFRUVLc3NZwYHz5w5U1lZaT3yvqyCEiROXn4iG2Ifbx7Ru4OV/GqmkGht7j892N/fPzs7vb65BVmOiMvLy69evRobG1tfX5esNrC6P3MXggWu0UUK4AJFnB+MoEKOK+K+N0SMKdz8L/Tkws6CYamE0Mlw4CMLX19gjCEBY2x3d/fVixdPnz7d3NwEZq5pZ4zV1NT09vb29va2t7UDgCAhjpZb9YFgPyLqQ8UJmNUgeamF8WWLbbvL6/wncM7Lysq6u7oHBwf7+vrW19e3t7flT3NzC/rLl5OTkxuba+Xl5R6Zphp8tmaQnxHRzkPkBlMN0EL1SQlFx1EziQoefV4jXpkm+jsnAm5ubj59/OTly5eZTMacpRAwxhrq62TyO2k7EYUlbzlxKEn4kwhhycaDfX1obcVSrHHvN3T9Ew0iUVlZWVFROTg4eOrUqd1MOr2TAQAhxNTUVE1NzczMTDqdBotMLgc1Yp4ttOzy1Ww79s3N1RVArGQ5AoAyGSzoKo9npIg4UNUTMlMTRISxh5iHGQcAQjgJRgBBbme2uLj46P6Dt8NvcrkcagwABFBS01paWmTmR5lEWF571Ar3A8EhKDkR8hcDCM4qXAmFbeF4Z+x4l0WJDMwDr+7qov7KiDFfVK2uru727duXL19NJBK5XI4AMtns2trG6Ojo8KvXy8uL5hZ8/vXQkg1FjISZ98HKYuBkAbDW9kuvqbexgpoh1qIp8EZxDw6eldv2B7+nWV0G7DnfBXJDXkLE3ZFPBsCs3e4AlHAEmasw3GX64sB+RMd4I4LMe0JgFgP1fiwoUg22z97sS1KRuOK9TkQCBTJiAoDsjZOE9OiLTG735evXz58/T6fTuq4zDQg4EHV2dNy6dauvr89mVMHJcL1Fy5NCY+wlHBzCQnbqr56f4jAZA/NH7EnXWIhgDoaVZZ7vVlXmIGXuJJ0o7GHV0tLy6aefnj07hKjJLEWZXHZ1df3t2zfDr15ubKxpGqqrA6ybCbAMepsuZFjVsvgsKllWHgcGTvYH39MJyVW05SqBubFuSCMx399+EPaa9pNTYL+18tsPfp6yyhIK1D7q5WaOQv+NiGxreB+wuXV+/ZJ3IHi5RereeaCqA9tJpEwpbf0rt3lKb+08ffr81avhnZ0dyZWTT3fq1Knbt2+2tXeaBPHjrln2gD3zIuOcX9Jie0NYo/nt0sBzIv7yXm4CERnTw9cQCICALGbWxSL4z393FIDCJBaZdHLR2dX1+c/u9PUPcM45CQKW3sksLCyMjIyMjAxndrZlFjyBQqCQkWnJJLL3PiOBDndVkgdVs5MFL5QjojDmO6GguG2uHvF/ji6hIERosb1rOmkVWDOI4LFvWRpmybakNZsxcqWzh6OqCuQDWP0QLbuc1Q8yqZZ1nFlLIpzWI6LAzIZydgOC/CxsO5OGxjQiWltbe/jw4cjICOdc0zRgKDgwxgYGBj755FZLS5PaDu67lNiXe8Qx1z3BL9VmdNsoON4bDiIyDCFTSFy5cqW6utoe8NlsdnR0/P79+7PTc5abKHTpfthPjjXm9kFIiRD4PgoNvR26CRbdi4rQx6L3SjzhiDDfwU8S8/LgMPwni5Im17BkMpnZmZmxsbHZ2dlMLmuu6WUskUh0dnZev369q6tLnbF8iE1dwvHBMVY9irtdldJxakxE0hkEEJDxQR4XQuRyvLGx+fbtTy9cuGBTh4hoZ2fnzZs3Dx48WFpa0jTN7yeyK7Pn4ZlfA5rLBOTnwxQCR2/DmVrmcGOQhxnzjE0ZMGG7NcMulEQ2TdM45+mt7ampqffv38/NzRmCM8YIgSFVlJf39Z26ceNGe3u7eZlvhvkRoOTr+SCRZ/7sO+hZcwSg+pRjZiO1NvaW6kY9Ln/inHPO29vbP/3008HBwbKyMtuDs7298+LFi0ePnqyvr0tPrroMwnOjQrVMyWgsCEWU/MeIOBNjil3QcatUNHI5mZno3bt3c4tzhuCoMQRN07SqqqqzZ89evXrVXusThJL43SMOoeGi/fFh5wOAvcuDcr40v9HeR8DOBITB/vgA+GQ3CkBhJ/QlolwuV1VVdeny1UuXr7Y2t5SnysDKXf3u3bs//enriYkJTdNQ06Rxr86uGQESD+vx6GwiwNWB7ckIEzjm5Vpiz583/GCfnLcZioyweKb6697KBFBma4gY8JYFgSDXnkQh0WAIiXX4G9xiC2OBtJro4G1cloTCCHBNC23GnDc1CTAuzHXscv8LUrbl1vWkYYg3r0eePH62uLjIObfLTCQStbW1p7p7LlwYam9vJUKZnUXdbu8YIyz6FBj32zvHJBIqa6m4PIsPCXEapNDIT1w9ElYaAQgIYXM4viG0/2ShaqTOH7Xz5J9W3UxEZnYHEkJwXt/QcP3GjYsXLzY01KVSKWuPM/7ixas///mb2dl5RM3OUhTowLW1BgMQkhVibhYCnkwQAlBlKfoIqk5bCYtGxBwWktlWByYO/O/x8EaQq2ERhPVvWOfzZxqKjvqqZ7IgC3pPgd9oaaYej5JL7gyNklPGBXCTkmbpvoDqufeZZYwlND2zs/vqxYtnTx5trK3ItBEyCFxWVlZbW93f33/+/PnmpgaSSfYICLCwlZDHHRH2zz6LZSYJSxo65kgssWXjoOjtEzHi/KeivSWlUh8nz5s6sqQYsbMFhcoEYgx1sIanHZAg9zodIQTnvLW19fqNW+fOna+rq0vqCQDQdT2Xyz18+PC7775bXV1naIa7Uamkc2vJUQqzjUOym9mmaSAZX/jeiF+zHNaqiDDE7zMBPYGIk4LoMt3tE2Kl+Pdrcmsf2We8QeJDbUP3DN00lDz574S0TAgBQYA1R5YGi9lnUCOLc2QWZiohprNEUk9sbm4+e/L09cuXm1vr9iyGMVZeXt7c0jh45vS5c+dqamrsyQsRCQHWoLOrWkLBONmtpkqwMMEa0whzUXuIEolEfX1tf3//xYsXu7u7dV0nIsbY0tLS69evR0bezczMZHZ2ZCQNEe3colG1VcZMoOfezyGMCVcAsKArTwjy7jWzzwhwdMj0IF31oXwB9Wtgb/FEfe1K2nNU+zgiZrPZ1y9fPnrwYHV1VS2zrq5ucHCwf+B0S0uLRXZwLi+hhGLj2GmcgK6u5Os1DwQJhsAx4jL9w8W4ECKZLGtpaR4cHLx48WJbW5udynRubu716zfv344uLi5mMhl7b83AG/nFReBNPbWKzxI6Cc7ifcHfsIdDajo+Deva7sO9Y7c6+fQYSGoJ8uv29vazZ88eP368sbEBSsM2NDScO3euv7+/qakJ3F302LTBfhDfN1Rcn0XJQ3Q48EQv9gPv+7LHiJmtIh7M4eNeniPjE6oRSEQVFWVtbW0Dg4MXLlxobGwkIRDRMIypqZnXr968f/9+eWU5l8tFK7I4kipM7/jBDpujun8UvG79gOpxfO4YjT2rtsAL7Wg9AKytrT159OjFixfpdNqmZjPE9ra2s4Nn+k71VlZWejYAURpHbaWjZy6fLBwrTeONkmFsr4edI92/VZPjm7SCr8Lz1ArHx14ALMjgnJqbm7/65S+uXr/GkIxchlBkjcza2trr168f3Lu/tLSka0lCTXr3zWdAsMtHa5Wp3O/MdVOLd63mMHL9LrPdWzW3/2zmlMmosm5kRZxOmAy24QqP+KDmlvKf5mwDH8Ih8txIbVsX88iaeqmyyTwtruyLEwn3WJYuLozcI0/dG8LmENmPCYobSK2e9NObZRFDYc8kxfb25qtXrx4/fry+vi7XswggwaGlue3zzz89d+4MgBnJAgxt55OAuLG+oGh8oZZ39LsurYuOhj8eHvY57B0Vc4ZGlii20/R4gr32LSXChobc7wyU08xxZJn1iChzVQhhcC46Ojt/8ctfDQ2dJSLDMIQQuVxubW3t2bNnD+8/WF9fTyQ0YEzYpUmZpuyqaT+h86SCKynwAayoHQhUCK1SvPiZKc4foROKUXWxqmWKrXHij8pCx5T3/MC5jWdIR4v9iMxEgcxWu7H27STy84P87KFgWHlSzLrJ0pCY1Roqs4wLa88jl5MIuGepi/x1c339yZMnL1++3N7Z0ZMJRJRx3VOnTn3xxRf9/f0CCBCBoYy6S2fs/trhILA3zqna/v5rw45HQ2F+mfud2eWUUBD871QVL9FX+T/nhxzoSFJNCFAY4uSY6gAAiJoApuZI9bNBXXDlJwJ7pzNz1zP5SJbPKJfjQojBwcFf/epX/f39nOcE50SUzWaXFhefPn729OnTdDqtJ8vkLEbVXETkaTK5h6Nn12YpJbx1dFvXfiHpCWx7VGn8eV849mMbhCnEOHcMK81BuE/NuTZiPYSNiDlOUVEYb1HubhaajUuQUluHYWTZM9bju7Pj2TpraWnp3r17L1++zORyTNeAmcnvBgcHv/zyS3tRs2dyZBbp6BrPoC6J0/w4Vn6iImDPM1tEVFuDiDjndXV1165du3TpUmNjYyqVksczmczLly+/++676ckpsljZFETPDgvB7Yf8cnzikMcHHidRwZfH0ErHzWMSyCbwQ9d1Bjg3N/fq5ct3o6MLS0vZbFbuEZDQ9KrKyu6urqtXr/b09JiOS8sKOW7Peygo6YwSTKg+2UKhmimB49QOhXHOW1pabt26NTQ0VFdXl0ho8uR0Ov3sydO7d+8uLi66ahW5sF+tsPU5T3/OK0BOWuy3CFAtb39AImYJwScXYwIUiTiTmZhnxoWu60KIycnJly9fjo+PLy4v57ghfaNJPVFTVd3b23v16tWOjg5zA5qQtv1QcDgapKSn4kMo/9pgyr8HhSC7NMDG2EMlrLETupoJrSxFQojOzs5bt24NDg7W1NQkEppcGLW+tnn/3sP79x6ur6/LlBueEiK+BiIsxVIYLfdETWQCu1AoTmaE9UCA8bJ2WOcIACDgHksmkUjkMtmxsbHXL1+NjY0trazkuCETxaRSKbkk4urlKy1NzWq6jHy7Q5REaAHQj7oCKlSRp47MKEHqJFCg4AT7dk8lNF2Kmty5g0jynpEJuT4X3RnduOCVlZWDg4NDQ0ODg4O7u7vr6+saMgY4MvxGCHH16vVLVy4nk0l0Nr9EDdS8j/4lPE44KNC1pDy/d2phbnTFEILWQciCSPl8PKC+wVgKUUZgrNhmLPg0seteaEoff++yvddyH2yTjMaUqV0+cR9IC9rzmfK+QjKeZMWIyH6dFpPS/IxmaEIuvmUgd9NzChOIqDMtQ8azJ8//+Mc/z8zMqFK7oqy8sbHxdF/v4OBgS0tLzhBccNXpKVv1gIMVRUfYW/bLk/jmmVpCNPzyqqSNolFo+4SNo720PEofsW3gAqKiR2yNoApq5vECmMFVDvasAKSbVY5QOdxMm156h8CeKwgBALW1tWfPnh0aGurv7+ecb21taRrmcrlnL54zHW9/+smZMwMITAPN0mKyfCHvTkSoOd4o61GYrYMIAJEcxiV45CojcjuYAn0c5FIqfplo6R3mOSdceIiQz/HHmoo4Y9l1Tl7j1eQCYIBdgWTW0CRn2cxgAMvEMJ9C7m0KbuLn/mYRYS3D3CIu+Fpbm8gtMq36y5pLHyW3SrP/JedX5X3KB2GgachymeyDe/e/+frrlZUVZQYLVVVVHW3tg6cHBgcHa2trDcOwtzryrOs8mYjot6LYWoCBd9yF3f1DC/3uD37e0P4JWflllPqm3FtPMlt6WL8yv5REuTeiYoI6ExNhxfOA5DBG1OzyZVJ528yT0+bGxkZdGzp37lx/b9/Y+Put7W1dZ7uZ9MOHD8srUnfu3Onq6SHiGtM452jeF+3nNKUEiIh4qkVR1KyvoD4zAMn5CwBIs1KySiyZ6DSZ9Zjy0H56Mtv3NCiMxOr5EH1+xPEoePpM3MuKNv0ryMPiqp7sjVJTEApBQloFJg3N1qeISBqRxa6zJ+l+bhoiA9ra2vjxu+9//OGHzc1NW3tqqFfXVPf2dJ87M9g/cDqVShmGYcfn8inZw/AUfzD40JopmtSjnOcbCf7d+IgQMZlI9vf3/+xnPztz5gwAGIZBRBsbG1NTU8+ePXvx7PnGxoau6zKLRCCl0C/ufUMrz8iWdZW2fhzyy1Hj2M2N8xqk/lY9qoCAZylZTPhPlh3SMIzlxaXhV6+eP326vLxMRKgxIhIGr6mpuXbt2sWLFxsaGsD1vAGZC0so4XBxlDLEtGjdazydX/OlJVKPRB8nIsZYRUXF2bNnv/jii1OnTuVyOSGEEMb6+vrExNTTx0/kFuMyGhF2X//iIAX7akkzDPPByYO8Ii7gxUFwhMZ3GnhOc0T6wfpH8q2sLIQUkBf2dJRzWpxfePXixfPnz9fW1uRxQcQ5b2pqunHjxrlz52qqquPX4eTj2Nk/Jbhxkmc9KOys1arNRkTSSQS+aYimsZqamsuXL//sZz9rb2/PZrNEZBjG6try2NjYk8eP342M5HI5OYvxx0ftohzXFXl/smtRUFjxhEiDE9BbjpTB5BV3LgZZeK0UoyV4uZn5ryDDMOZmZx8/fvzy5cuNrS3JJJI+0M7Ozk8//VQ6ifx3j65ACfFxhHyiYG3qdoky3xF5pUtagbRvnGvQiQm7V8CTGtBjkq7h6tMkVKFAhmFwztvbOv/yL/9yZWXl6eMnO9tpQtASejabffToUU1NVXV1dVNTUybHUSARmaw5mbEoIEcmR0BGkgAiiICh7nFj+CO6dp2kL956LrLWP3upSUfEKvKEiPfor7V5WAE/qTFtCv6sHpFRDvtHuVLadZrVajKOas0LNftX87gSI3XDz1Xxg/nOBOWzq785n2TPZAToemzJKZMeQ3PTGKvF5L9o7VDDUAfgK0vL79++HR4eHh8f38nuIEObntTa2nrnzp2Lly8hagQm/0gAADArjhTyQMca/rcQzeTyLybfz339b/kEGBnHFf5QcEEojJliT+VNAwXM7eFVNp9zMqLKrfDQpMEavwiaQn42PwghENDmMeVyOc55X//AX/71X83Ozj5//jSTySEi07Tt7e27d+9WVFTU19bV19UjIrdCGSTDxiDQzrQmCBEFckQM3IaGyIqzkQAAe/szjyFlRYYZuLm6AEAIFs9RaTEfdyIe9sYb8pcQhr1zK/xuQbRkrEcnu70qTo5Ck6ds2gBKUQB2fqJCmKphyCvNQksTIACsHIkuTRpcgmXBM1Aqr2mawfn8/PzIyMjw8PDk5KQhBGpyEQsHpK6ujp9/9cXg2XM5LpIasyczRzinCUF0a4f11UJlvp/1k/8tWy9Hcr5cTMCQ8kuItsTCmIxh5/vPLExqSUlrSs6QOLGz4sF1Fy+nXl30oFwrzJJRmLlWgZssegAkzGSy3DDOnz9PRO/H3r16/UYIoSVI0/XV1dWvv/46WZb4j42NddU1OYMjaDIe7dwFBUmKk8WQRWRIAJLahABgJuFmIMAyIgkZIvp7pOpJkrMYybMFV2zGOekgBUUYJyiaKxR//AbroGjh57a6g+8byvRXbBVSZHsh4na/Pm5zxmTWzWRBygm7sF4+EQkAZrodmVlZ4lb9ZX9mAKAzLZPJrK2svnvz7vXr11NTUwIANSZdRbrOBgb6f/7Vlz09PYYhmMb8ujvoLZjzG+V5S3zMPPigGsU2yuKFxVxDAoMWUhKREFBVVdXb23v+/PmhoaGmpibpyMzlcsPDw/d/ejA2Nra1tWUTPr1mt71aEhTyv51au0j20jGwu/x69HhF1fxd4hg0WjDskI4nbqP2T0/IyOvCJ6ZpiIjvRka+/vrr9+/fb+/sCCGkPymVSnV2dg4ODp4dOtfR0cU0zZ7MIlkT0ZMR6ik6Pih5WEJ8BAj/EG+1ve/vHsq0YQsf6Uiqr68/3T944cKFs2fP1tXVcc4BxU4m/eLFiwf37k9NTezubAsyotmyUjGFcIuCO3Z8GRjxyB/qmPE3ZkEqI/rkfAL2YBuV5buB+uCef+1QhMY0IcSLZ8+/++abiYmJnUyGk9kDKyoqenp6zp07Nzg42NzcjIicc0QkZSfBj0/FiEKMog91VJUQgALkMHGb8e2y+ljoaJKGX2Nj88DAwIULl86cOVNVVcU5J+AbGxtPnjx59ODh3NzcbmZX8luh8LHJCJjlAgiptpem5PnJdaSgex8qjtek5pgjkN3mQeDUxr5c07RcJvvw/v3vv/9+bm5uJ5MRViy8pqbm9OnT586dO336dF1dnSCSOzWrhQTS4krYA442P1FAJFJlErmPOOfb2Vu85REBefaBAWat9ZV5HRhoTnCM7FCh9S9wm1BtMncEaVqysrrqzJkzd372GRe5p89eIJIQYnZ65nky+fr1m/6B0+3t7ZUV1YZheB/H5xhigAKJgBAZASBwAGBmdoBQYRoIirEm4GC4RWE5Xzwe2T0zAtTzHcd4OMPFG81To+KgBjDN/zT1Yser7XPzWWu/898xXIXEziNgxlXMtdyEIASahAYCkvLReqGk5D0B4IjokDZlTEnA9vbm8+fP//znPy8sLOi6bjKOCGpq6s6fP3/p0qX29s5UKsE5kTDkkyOg6foHANQCnaeHhcLiroWXGQfR8VvvmdZY8555RPy+E4S9cUPiR/jzv3dz4NuTWPfbQnLyl4FqcwSuXwaQGYvMLBJyZBOLGEq6ptXW1AwNDd258wXxb16/GUbEXC43MTFRU1MzPDzc3t7e1NJaXl7ODYaIhJwAkDEiAmncK5mWpC1lSRKmhE8EmAkirMq67TNEOwYsAEBY2lYRLxq4e3Kxe3W0FI3fT/KPcTULhr2eIq8nzpqkMQjX1OHTIaeGliyPqCfLp2UKk2Zo6RfnKpNvG8B6BpRdi9mKBi2eAlihCATYWFt9eP+nb775ZnV1NZlMmls1ATQ21F29fOX8+fPNza3JpG4YBkmdJmQ1vFmxjhrxNbj/qjDsR9c4wIBywiRhybUkEcbwKpYVUVhpTBlfZi4wdVsxeyGqdzRYPBsn0mzOX0DySQEIDUBrZyxiaM2JZDYxZhUrS9B0vbau4erVq/Pz8998883o6Kimabu7u6Ojoy9ftrwbeVtfX19fX1+e0oUgoXLYA8apRzRZLBJpMdpzNIcLp+R+tZ7aCy+XKsCOKjb2zPuL+erjsFT8v4ad77Bg3IuavefZugz2EguP5k76zwwAETGp3iRTCIEhI7n8weqTDACETBCM1mNoiIKICDUC0KyaLy8vf//99999993GxkYqlZIqRmdaW1vbrZvXz58bqq+vTyQShmEAcas5HEaSjRhNUZKfoThBTRNrcHrn+YGWuZVa0mZB2//6velEJEO+p/p6f/HLXw2dv1hWVialHiexvr5+9+7db77+bm1tTdc1mRTGezdzEYI5wuWAUW/quaPn2jhPHXztsXbMh8LnqZF/AVwtFXFC93nve8CWa/6xpqwji5q0uPsn95yQSCSSycTs7PTd7394/vz54uJieneXMWbTNRsaGj755JMbN25VVVWZNWMhyw1KPvgSPj7sZz9KCY9yAZ8U8owsIQRj7Ny581999VV/f39ST8jV04ZhLC2tfPPNdz/+eG93dzeZSDLG7HCC/UHd5sP7LEHEQ7/eyStgS4B96Ii9CtLim2euRzB3I/bfiMlfIUR7ppIpXdfHxiZ+/OGH4eHh5eXl3WwWGIK5tgzb2to+//zzS5eulJWVeQr5uHXK3lxOJXykCBwsnoPRmkUeIYY5wZPJ5KXLV7/88henunsSiYT81TCMmanZP/zhD48ePSIiPZlQt9CJGSlEcG3/4qletMzMW/9jhj16G/evYeXVajqTY6iu1Wf0U0d9j89Ubqs1UUYASCaSSDAy/ObHH34YGRlZXl7OGgYwZIxpyBKJRF9f3xdffHHmzBldT/rrALG7bglxcMh8Io+vdA/aMWTNpyQ9IgAAIxQ+D4nDXLJivOpnlNvTIMgwl9m9pJ3EeM7IALGW5raKm1WvX7++d+/e1NRUNptNpRKGkX348KGeSFy4cKGjq4erJSszBGfwmF5ec7MqIDNJAMk1wGZqDNXZJIgsVou1SYn9m90K9uiyR+Ghj4/4cc78nulwYSpkmNxfgnoFIgJEJeTzHN+T7I6ORRR6rYzrmpFetBecESAiJ+HscWa65B3BCs7cTzO3wmAkDP7m9fCf/vCHt2/f5HIZNDscJBKJqqpUT0/X1es3zpw7S0QGJ/PWCAScgZObKV47nCzEFDgFZVwpZSP60ODJyxMBVIxjNSea+hOCRqasty+TKRwctmPOEEJQV/epZCr1+PHT58+fLywtZrPZsrKydDp994f75eWVl69ca25u5kCoMVQrJszwnV0HUBSBrIYw95o1Y5IOHcq0qAgktzZKbxSrb4cxI/Zmf8ePx0bVJJ9N6WcqORHLOKLSUz5K7mb+e6kf9i9n1OcFuT02AKj7FjhZLYhJSwOFr1mIAUA2s/Ps2ZM//OEP4+PjnJtZ/AgolUpVVVT29Q/cuHVTbuFncFIJCEjhj34iER3/ZyGnxX2bZOX4KOHY4OCyqgEocxmPRIq4EhGt5NZyiYQ0BE0tI0MLPJsjor6+PgS4e/fum7cjq6ur2Ww2lUqtrq99/fW3NXW1V69erampAZBsQnLmI2RxD03SrfoZiAiZRnZNTNno1FrtverukOozuXPOKnwr9TEj260YCNMmKrxaIAyWVPVSB1SbIVxuBBalHsl73zDEyb4UWhPfmQH1t2bTrhyOMlOwO5MGc51gbxprkpAgnU4/evDgz3/+88zMDOecEJnGAKA8VdbQ0HB28MzVazdaWlpyOW4rYrlwEiWfGoQvIW0Je8SHObFBxQ42iULqr/kMOw/PyO5/FRUVFy9d+ctf/+ZUd8/u7m7WyHHOFxbm3r59++jRo+GXr6TYlayN0GLJ4ShBiPtfvUSJ/YLflDW3TvffCwCObDVt0ToVuRF9su2Ps93S9ufAkiGo8Q8ZEU/nCfWHFoHCXvyiaVpS07e2tt6NvH3x7Nnzp8/m5hYMAdINn8vlUqnUzZs379y5097erukMWfBaGA8VooQSPh5EdHs5Ehkg27fJGiyXNKyurr158+Z/+Itft7S07OzsCCFyudzc3Nzw65H79++/e/dOCJFIJFyVZBhGgPIziQJvrXwN0BimFwzw+G21WXz9JtsmjroJuZyrtfKr8tgh5QNU3dbTSSuF2Q5ERydaayT9fUbXdV3X19c337x58+TR4xcvXiwvLwsAYEhEuVyupqr6s88+u337dmNjI2NBDjj2cSqXD9PSLuEgEE1otcWIf6KhTBYIfFauvKSutuHzzz//8ssva2trd3Z2iPjuTnZ2Zv7Vy+HHjx9PTEwAY6qKCZeETpwjprQMtHUFkD+u/2GjUOXik8PCcsYVMD86aHjqEGhjBE27BBFXdzrTdZ0xtrq6+ub18KNHj14+f7G+vk6IwFAIkctkm5ubv/rqq+s3b9TU1NizPHntx6dWDglHm58IirIe0oZ/NyuTv+NLZUQK+8bVa2WMlzgCEApEIMEQgDFz77OBgQHxF38xMzPzbvR9JpPhnGez2YX5+Z9++qm6prK+obaqqkKAtQJZrkY2/fFERCjZTp7KWLkhGdOJyOQWyUwQMteMjC2gHGMyyZH3wQkCtlA5YNsksHjbzRztcY9VNSLyZ5EoVlzBllkxhMvBZcVXIjPkFCvUrBGCOW/f8sF7hKP8qAES0cLM3KMHD54/fTI9Pb2T2dUSCZlAXddZS3PjJ7du37p1q7qmhsjaF8NxpNrh8ZiTmX099dGZznljQSyobjFy3Cif1Z5a0l1uhI2j/ciKQvlfcc9X9xYJ3VfRrILJ+vOeI4eqw2MNtOcEIuVyWWJ04eJFwzDGxt5Pjk8QAue5XI5Pz0ze/eGHioqKmrq68vKUlY2Cy1ixIsS8fVsyidDaB0dhFSn1R0YkPD+BQqsjomJz3AvNQxQ2HiOK8vwU5437SR8MESlgF7AIPmlEQ8XsycK+e4GFxGk9gUCSpUJoR3QFEQHKLYzQb80LFIjISGOoZXO5qcnJh/cfvHrxYnZ2NmsYWkKXC87KGOvsaPv808+uXbuWSpULIELZr6x5DgIgMGDWkYKYm8VFsXigfn5BNNc4uruGLAAHgKiOVXJCfQgwew86X0PfqzmzUBw0UiMQIQAht2cuAObCZKmGstlsIqnduHHDMLJv376Zm5tjjBmGkc1mx8fGvv3m+1QqVV9fX5Z01vL4TUHVXpXBA0Jh6yBzOqPoTT+szTd9x+WKkEO1DyOIfh7EmatGcgOJK+eEXeU6bjepO/K9f/s8Px8qCGE5v9TPXptXXX2GZh5Ypk5eBBlqCIqhls3mRt+9f/zw4euXr2bn5+SmCdLUSSX13r6en/38i6GhIcZ0IcAmxNr7WRfPYVbK+2biyP1EBwJElPnbbEnKwLsYTYpUNwlQcqe5S/5akAygpqYmHDp348aNianJN2/erK6uAsD29va9n35KlSXOnTvX0NSEiJqmyV0GbF+VFZWVsBcKOGCMSWluV48xBvl8GeqCu+MBVrj0cUF9WNXEVBCsQMlaaKa2Vdhnz1XHA9ZDyQWQjicr4FSP815GloQQuzvbI8PDf/rTn4aHhw2RQ00DACGErrNTPT0XL14cGhrq6upKJFOGxU9jiMLmEJV8GiWtUEI+yEl1INC3woiEmYEerY2iLBHnUz1EjLG2trbs+fM3btxYWlgcHR9bX19H1FZXV7/77ruqqqpLly/U1tYiIGNMkCBrfwZPdWxhGFgr5wTnMViYfWUpF9MEO2Yhu/3ybjwhUOXpQgm/EQgL7xeI/erQvDAfKoB9gJ4Gkb3U5C8gE4K2t7aePXn6pz/8YWxsjBMxXQOGOcOoqqhsb2+/ePHiufNDHR1d0p4Bd6sK9zIMO8JRwpGRv0s4lvD0hkDOjjWKBaiJsYmYFjCVkCcLIXRd7+jouHDhws2bNzc3t6empjY3txljc3Nz33z9dX1dzYULF8rLy83LiQGaS0rNrwBk5plGADvA4K5SPEjJ8MHPxa022fsAL2hGc1RA1+oNl23jgW0FgRO7AiLSzNkKbWxsPHrw4Pe///3UzDQAoMYQMZfL1dbW9vX2XLlyZWBgoKmpiYBxu58zb1Mcq8Y56TgEP5F/bT/4Pqtnqr/uXXrI7URUIhGzKD3gMYrJCgQTAco1jQRyxykFslunUqnm5tYr164vLi/t7Oxsrm8Bg0wm8/79+9ra2ufPXtY1NLW1tWnlCUEAoJH7GWwyEbkXLzBgJAhQZiNy5LsdIkDH1w4Y5Kcn5cqjM73iiMI871SZR8W50X45PnuVJoX21bg1JARX37SYREAMvBY8mMcBSEMGuLG+Ojk+8fzps2dPHq+uryXKUjqXM1WoqakZGhq6ceNG96meyspKg5PggiFKqhEjQhIAAKH7uxULR2YNk7PUQqJQBkoJxUJx2zM6eq/eMW4ONXuYBfrf85rCiGimBzadNU6WIlSkulkaIyJi0tDnggFUVJa1t7ffvHl7bW0jnd7d2thmupZOp9+NvH/S+uzpk+dlZWVtrR26rguDyWcgMvclVsmqFgeKoUWoRWKACCAEgnlHhb2CpHlKOArbPT7rx3/+3mKkDuzdLVHJcOe77xGyIAN5RgU/rwCOqBGR5EkFrQhgAMCIA6DsyBpocs+a1ZWVdyNvnj159Pz583Q6rScSAggYJhKJurq6K5cuX712o6OjI5VK5AwhBPeEbaxdbAhJWvaBcaDDx/4lUnTfCGPHx2UilGY8hWNfY2RPV8XSKWDJWPSxFD2yzL5EDTBYRTAr24AAe09cAJBbXApA0Oy5jzMnZ2iQ0BArKsq7uro+/fTz7e2d7e3t7e3tRCKxub7x8uXLU6dO3XjxWmOJ+qbGpKbL1GPhcRFBCASm/pIhcdd+mihZT1GtxEweSNg88ZCRl61ZGIKcRNGjXmH7Fs3TEZ+lWyh32zX/kmnv5A/ePkNMtgXZv5rXa4LkAhrQUOecL68ujQy/efTo0YsXzwxD6MkkIRBCArXW1uYbN25cuXKlubk5kUhkjZxNDbDvg4hCEGPMXouzJwS+rw/YmZkHx4pP5A+jFZmWLP3iYf5vk2GuJCL1BHsBIJfLEdHFixcTCW1qampibDKdTnMS0h//T7/7XS6X+z/+2/9ZXVVJShIiuxD1qxrTC4xqEpEav5WeK/NMX1yXPiAqiDsMrh6M8lJ/GP5jSRCwO71tIgjhXQugIsE0xmBqYvKf/tf/evTgfi6XQ10Da0V6WVJraWn55JNPPvv88/r6eoV4BRjS9z482P2n2Djw4H8Jhw/fSmUH/tAu+mR42JkBN/KdkM0auq7funVL07Tx0bGZmZkcNwzD0DRtYnz8H//hHwye/S//+f/QNDQM8y6ICL7lzHbh9qBGROICNelTUuFwZzDctELfrP4DEBcR9ffp6/yXHDD2L2os8hnJbsMEiZi9lDEEwDdv3vzuf/zj08dPOOeoaZIYzZAlU8murq47X/zs5s2b1dXVMvm1uo2myY8GMMNjvvDvh44jXGFXwomE499xT1LAyzFnoBiK8pDXr2RB8j2y2VxFRcXnn39ORCMjI4uLi0IIIYTO2OvXr//+v/93wzB+85vf6DqTfiJwi3pXxdyTKamMJK/E2Tw6Lgv1AxwjQe+rgAtPBKwJhfnVwxL192H1s8qM0DQUAp8+fvKv//uf3rx5Q0TAGDAEoqSeqKio7u/v/+LnP79w4VIikRBBmtBLMghej7JnfID9MyYOwU8UzRsKO0c9eU88Eckn8o21/FYRMQBuC1+hGtlEhmEgQHNzo65funHj1tTE9Js3b5aXl3WmbW1s3/vpQVVV1ZUrV8rLy3Vdl6vPzCcMyRkMgtCXIdTmY6Kb3yFXL0CQn97lUpWFRD3kISBu9N59mpcfJCOf1tPJX7nvQicuevA+eFCOx7fa44wC5VQzgb8QQgAxS9IGvFJkpGlaJpNZW1199eLFvXs/Tk1ME2IikQBEQaQnE10dnZcvXrlw8XJPTy8RGYIjMWbJUGurJIDjqJyK5YLZs3wPlD+evhFQ+HFrx+MB/2r2YkXyQSnZf6849QlAmB/E5uG7YqeFOE2kPS2E0Hy8lVyOI2Jbe+uVK1euX7++uLj87t3IRmaDJbTl5cUff/yxpaXl8uXLfX19WiKlIzOdO0o1wGUwSQ6dsP4FEAwYurMJOBcCMGdTEo9WAqmWyGbC7kNchGU3iI/Djj+7NdHBwd8m0Sxs9XhBbcgEmevCAGyNI78qnDICxhgy3N3NLC7MPX386MGDB4vzC4io6zow5JyXl5d3d3dfuXLlwoUL7e3thuCCCwTTtpGNxpCBhyt9gC0ZNq4PgxEmI+roZeayfGyj4F+xlCPj2CEOd8z7qz/w4GTwMePFrmADWfaYY9YKckx+c3aARAwI5eIdz/xcnsBtJikQIyFZgYZhMC3R1dV95cq1G9dubm1sj4+P5zLriDg7PfP9d3e7urqGhoY6OjpQ1zRAZxWbGY1ARARiaCbzEBYPnQGgfyW0OltR5yzWjmlW29hqTFmLdvB2VPTIiiNXY3JwAtdAAITEmfYtIf39MOwpimApqSBrtbL12XUEAIghEVnBKgYAjJkbnM1Ozzx5+OjevXtra2uapgGZ6aurqyoGB85eu3bj7NmhxsbGXC7HeY5A8obMCbO0cJy7mFtvRM/39y9XPwr5fNwez1Offc0lPJxnAG9Wl9AKKIxQNSZmf87luK7rX3755d/+7d92dXVls1khRDabXV9bGx4e/rd//ddH9x8QUUJ3eOyCB5NBwmLRaoVd8QRyLskbBjxRKOwtYwgOqHKHBjsaY/PRAl+0/bCapmlMW11Z+f2//et3332zurpqCC4VtcwQUVZW9sknn/z1X/91V1cPEXAKyLvhabcPoBn9KN54KbGHPnyglZYl/iVh21yq8Id8XTe1BjURGYaoqKz89W/+6m/+5m+ampqy2SyAyOUya2trz549+9//9C8vX77UNI0lNLVbk2MwgSoS0c2NVben9Q4KQeDfCt0uH6JYjScd5IZ6UH4+6YKRCIkIiAG4djRTfYv2yfbDahrTNJyZnv7n3/3T/Z9+2tjYEECEyBiTKqamqvoXX371F3/xF42Njf6eoerlD6Ylw/ChDo0S9gk1FOzZO1IdIH4jVpXh3kKJIWiIyNAb7w9zPag/5Qze1ND4n//zf/7Nb35TWVkpVUwmk1lanH94/8G//O///f79+5Su6wozXS3KLyQjOr9frqpVsh8n+uSDx0FNhxERUYsWeid3LmP5KINfbnQnkfEEXWe6zt6NvP3d7373+MnDra0twzAINZm+miG1tLT8+te//vLLLyuramzzRO2QJRwojmTdWVgsMWK1ZKAv1juQVEMnlDxP3l/dNjTJBT5ATFjebsaYQQIAGHBkQAJzhoGMnR4YEBwePnoyOzu7sbGxu7tLRLPTM99++21VVcWp3u6Ori4AAZouiBjIRW0K+w5dz0BEqGaL8GSMB0JEmWIJhLnyM2j1r/Jc8trgHw8U+80T4YFPYsryD4c3tP9IQnTf9nCjUOYFlJkCzZ3O/CUiAwAUXO5Vkd7dfvtm+MG9e8PDwzs7O4gEKNcTaC3NNadPn75y7erQhfNlZRVCkL3BjbwdHJ6TaD/RjL1hb2V6RE2g59qBQsYqIS+KmU0mvGQVeykfzX/lPmXBcjRsAwF0djcD80Jn70tCZQeT4AutOudyuWQyef78+Z2dnYcP76+traTT6d3dXU4wNjb29ddf19bW9vT0NDQ1EUNTuQAguuJpgFYLyNqa1ZVJLJQ8CAH7eanPeNARs/jvaD/csegSAs80m4uIECP4IPtHdAvEYbb6P+eHsruZq09Ky4eBYAwFQM7Ipre2h1+9fHDv3vv373NZLoBpiJxEStcaG1qHzp+9evXq2bNDiUQil+MAgMx6InRGCpHJREOTRPEhWfmS0azuZ+T9NeyqIJRCEcXF/tmL+wVaCoUQAJhwFEOB5ai5iqRkllLdzDXmyiqNiMxMeMnNfUqUJWm5XK6iouLy5cvr66sPHtzb3U3v7OzsZjOwA2/evKmoqGhubuzobKuqrCGGZgZVYoCCrIwZBBYPnZS6ybHgypTn4X56g/eIqI4F1+ys8CbaHyLW9sYf1ypcz46Y15VcqC4rlhSNr2WiSrA5YTbJ2bMHmQxT2W2gASFj2Vx2Y2391YsX9+/+OD4+nsvl5IozEiKVSrW2dFy+fPnKlSv9/QOC0DC4mVvd2lkPEYFEUTtLtJTwH//AWUXHKj9RHLjYehSyCjcM/pMR0ZM62l4gZhItpX1j9nV5XO7th6lUqr29/Yuf38lmdr7++uuJiYmysrKNjY1nT542NdSfPXtW1/WmlhZN0wzDAHvpGQrpVdU0Lchlbq4RsI6bAljWjcsEkPKwb4W/nbb7BLmi94AP9OmYaa+7H87uCbKrmG57IADQGEsktPW1zWdPnt778cf3b9+trKwQQ9AYInJuJBKJCxcufPXVV2fOnEmlUowxLgTTLHshpCXpMNZWHAEKf6iPdzXyYeG4T4fQItarXSfQxeM5jsp6AalfyHc5uVc0e+NsQiBiZWVlb1/PV199JYRx9+7d7e1tPZlaXV19+vhJR0fHwJnT58+fb2hqAUQwOAAo+U3dVXVniPCMcTXOHHbkY4D7eUMj/CcaHmaZCErzYGocIE3TdGSLq4tPHz5+cO/e6Ojo+vo6ocYYAwZGxqisKLt169YXX3zR29ubSCTA4h1QwNpwMy/Sh4oPnipVwv4hRYlQ8tVQSKA3cF6Dvn0zzUIsee6kBHL6oetktGjm8jRN1yrLUqdPn/7Vr37FGPvpp5/SuzssAbOzs4ZhnDrV3dPTM3BmsL6uUQhh3UWTo5uIAJi/9rb0MJ/PUY5e0iLZ4uJjYuHZ70X592TD//r8e4vb6y49J2uaxhhMTy08ffLo4f0Ho6OjG1vrxJChBgCGYVRXVfz8i6/u3LnT2t5maxDbcLKpTCojz/r3Q2jbY4Ij9BOFxZbjrKg0odrZIHtnkNi1dgpDIpLuFVT7q2lYy/kAIyJU9qAh60aOWU9O/rbqmsrr169ndnYnJsbW11cNQ2Ry2d3d3TevX3/9pz/rOvvks0+rauoQyfR4yiAeEgAIDogMmDNDcCSHWb6ZIynQurI3ZCN0MoxaAeOTONWPzuATf/VsoTHn6P62/+hT/iwJMp4vrOA/EcltkEChbgq0zAQAy5MImd3s9OTUw/v3nz15vLy8mMvl9FQSiBFiTXVle3v75UtXr1653trarutJMseL2plc4w6dPCZoHT/yqO/e/PQHUefgmpy4YXZsUGhurzjnx8lZU1gsKIyt6WSXsPuAxZsIDGAgaFKsyzuimXmaTI3jm72THI6M6hsaPvns093d9OTkZDqdFgx2dzO5XO7Fs+d/bmvRGd64VV1WVibsEtxRanXfWfVD2J47AQwpc7s0N1MJEIs2yqI5xcWFei+/psjDLVXs0b2xmfaGYpYsd0/1rAgIPhM1blCWZyfGJn/88cfnz5+vr69nDSOZZITEgNXX1vX29l69cv3S5asNTc0aMnNRM7qmCbbVBA6T6CCk5uHwVeOXs//7euVeibt6PFCEvqQW4XcVqXEF9TTXCZbWQEYmAxCY5Ke7VY9ABPKlBrOWADFkrKWt9bM7n29vb09MTORyOQDY3c0sLCw8fPiwsbFR1/Wqy1W6riOQuY+nUo55Xyb5TQD2SJf7bJp7fTrVtmtlN4OMiKj61Jz4WLH5Q5/LhOmI/ZQGSmnRMx3/kfgcnzicIOE7cw/9OTCG6syXwcqmKp2JgoT/HcrXKoTY3cmMvnv/4/c/vhp+ubG1zjnpWoKTkUgk6mqbzp49e+3ataGhoarqant6gnbfIwAiJ9eqSWjyctb2h7B2O+5hziLihPKJgnu2ZSjnD+moFpLqz7Zjvx5/pOyGZHI3EQAEUTabZYwNDg4aRvb586crKyszM3M5biRTqemp2X/+3e+0BDs9OFBWVsEYA0QCLpcTWzFK5gkjqzwm+xkD+R1o2VoWBdT968lzEn2k8EeNPO4hz0/2gQTTdnd3FxcWhl+9enDv/sjIG05CTyUZYzkhGGB3d/f169cvXbrU0dWZSpVzztG3mtckJ1k1gVLPAYgkHpdQXJwAxlYgVwgcbikCgEzog8x13LHjA1gqnoiAEoSw/jVIEFE2m02lUhcvXtzZ2Xn27Nnm5ubCypKhG0k9+e7dSDq9VVNd2d8/0NTSrGtJRLTYId4cmRJqZSxd6TxFqNcgzFVWBBz3t+/BhyEeydxA00XUd5kiCIioadrudnp+bu7Fs+cP7t2bnJwUAMlkEhgKgycS+unTp2/evDk0dKG1tV3TNNtJpEwMLWvKCQKTMwc+kdGsUKCVRfhDJeSWUCxYnvdQ2EMxrC+pZhsRMQ0EB2sW7TrN5hnZzEE59m2Zn8lkKqtqLl+9sra29uLFi0wms7y8rOu6rusvnz9Pp9ONTfU9PV01dfWappEsU8bamfTycHDzmEDNoCqrEf6wRGQuxzO/B8jY4zygPkrirdc8RtQAhMd88IS+wGdgyElwent7enr62ZMnd+/eXVycZ4wBY4jIDV5ZWXnp0qVPP/10YGCgrq6B5K4+1v4AHpPJU3LRnrUEADhmhpo/BUCcI3EhwDFgXNazkKn7pewjQGG6ccA5mVAAIyAGcgkaIqImBABiIql3dvX8/Ktf3LnzRWNjIyKixrZ20uOTk48ePvzDv/9+ZPgNACT0hBIYYjZhBAQhWUdQpiJilO8ZXbEFcv6OGnHejvD9xYd6fnQJe57qx7wwuub+X9UjzHJGiMC5meqJt7dNMb3vCMRQAySi9bW1Rw8e3vvxp+np6XR6lwgRNEGYTCYbGxvPnTv3ySef9J3uLy+vYAyAEQH3bJ5tKjkCBmjVkAEwkyK8j7G2V/jfqVqHOL1lP3X23DRmOfF7cqG9/YPHkfSu/CDlzzyCzl/A+aiuAjbvgogyzyigsP9kvMDUNaBJvaPSp+3puh1t0xhLlSX7+/u/+uV/uHn7k6qKaiSGSJvbW5OTkz/evfeHP/xpfGwSGWkaAwBvFmpiTn5Qpf5IDIkRCiWRhAAQ/mcM1CzR85x9IP4YiZaxEixkLDPfn1+zxLl7oVdF11atm/9z/JoEw1QrCITS6JBBV7N8gUKgIIYCpd3PgIulxcUHd396eO/+3Nzczs6OHfYvKytraWu9ePnS7dufdnd3p1IJGWwju1e7DRLf2GEmffWgLJa9vdM4ZUZBthsiRd4rwmIJ1HqqRhZyeB+9oXfyUETNu99RiQAybpzXYndNQ5TzPdMTAEBG5uSFOepD1SxgzW7cE2xBRKCxyorKM2fO/eI//OrKlWtlZRXAiFCsrq+/f//+u29/+POfv5mfn0dNk/4gAUxYLeCZKwEAIdh8QmlbKkrHPocRmlJCOrDspyOiANERo8+HaedC4B+D/ncdfw4S5y5+hN03DsJ0RzHn0eG3RpAMMpXBYIEIPXcUCEKI2empH7/79tGjR8uLS5lMTs53CKG6qqqrs/PatWvXr91sbm3TkxpjOgBDEGjbVz6XkDl3LpqI9Ldhodr5A8GJ4xMFwxWS9f0EQcnD7H4muZRk++ZtepFVJiIKUjnnzrYyRCKbNcrKyn7+5Ze6rr99+3ZhaZGINE1jjL16OZzJ/H+IsKunm9XqtmFkTwkUv7vDJPIHoj1+Wfsg+cbJSUBevkZRNPreuJR7uGSPkiIsem87iWR8UvYTDs4mRIhIQuzu7ExPTn39xz89efwwl8ulyssIUZBgyGprawcGBq5fv37j+q3K6hrD4Kh5+4n1VQpczw6+h4OPRcKW8OHBNo296cTAWQ4Mgawi8h60/UEArv07EEADZAyFEJlMrqa29je//isgNjw8vLGxwRjquo6IDx8+3NxOp1Kpju6usrIyk/yvlAxuUSOE0Kz8enYNAx/Q/hwd0y6eAjo8Hp+fHfZhw8NZJlLyiFqLmonQZgAgEhl8J5MZfff+3//931+/egXEUuXlhECCNE1raGgYHBy8fv36lStXUqkU50SSF+ebvgKZGay9Cuign7nYCNPXQYq15MYpIT8c+axQUx2hanUr+wgqJ0MMweWZrchD8hfPeOScb3Pe2tr613/917lM9s2bNzuZNADoum4YxnfffbexsVFVU93c2qqBJhAs6eFM1NW5DLinYyoUhpFTvRO9a9WHqz5Uf1l8mG/YXEvoyp8l2WdWZ0YUBk+n08PDw//6r/86PjrGdK0MywhRcCOl6x0dHRcvXL565frZs0OoMcOwfUMuN6h9Y5dBVRLAxcYh+4nirLrcI1Auw404Qbqr0fWZyPRdS/YjA5QyjEgGxYAQhOCqVx4EItrEUeSc67re0FB/7ty5r375C0Tt8ePH69vpsrKy9fX1kTfvfvjhx+aWtms3b3T1dDOAbDbHhGPH29Qhab3JkJ3cV8AnagWRa1aPBFYmI1cLCJkDXh6M1XjR61qLDpUhAvGmByLks6dACH+K6HXC/lBezL4aulI3TwmoqTF5snMSmfsWSfNd2t+yc6IgYhroupZObz99/OT+3R/Hx95vbGzoyQRjzBACUUskkv29fV/c+dnZc+eraqoRQQhUd8Ews2sxzWY9mP1YlbmgfjwIoRu9QjusN8Zfp703RNdq/3c/wfbQASBw9HngH1xhK8PD+k8c2aKeySBIZjJz5zDF7rE+gfsCRA2IhMyqgK7cECbnwtoRRnpGiAhQMAQBhMAEAgpCRM1aWYyIQohkMtnSUnHp0qVf/fI/lCVTL1++5DlBGq2srIwMv/n222+r6mqvXr3e2toMHDgX4FllBsyKJJt1k3kfUKBcBIHoDfepT28KIbDqI/OYoufR9w8WLufDpEGc/uDtadJmDTozPgI1CAv/Nc69ws63n9Ef2Y64VgGa+1/6YrwAAAKZslEXQ6QEY6tbq48fPvrxhx8mJ8Y2t7b0VBKYRkTI9PLy8nPnzv3s518MnBksrywDgFyOm0yjoGUjKDsPCbmaDdQ+c7BOlbD2jJA2gVcBAFh6Mvodhd03DqKuwhjnlBAJvxta+CVDvhbeT/sH25wo6Q8AYKa2sKk0kmXDgMDaIIoBAANl+m3lwgMw9xSTmkVIbp+1zyYicPNUbz4NM2IBQETl5eWpVOrq9Wv/4S9+9f233w0PD3NOQsDi3OJL7fXXf/omlSy/eOViQ0ODYQjhrHBmTE5DCKycd+asxAlv27dD57nQekayFnMEwlqymr99D345RfQcpFCrI7qcsDML7YF+HRGnhML0FJnhADmbtjqVcHoaInLgAMBQIyLQUGdsYX750YOHP929OzM1vbm9lUwmOQIA6bpeW1t75fK1n/3sZ6dO9ekJjQA4dzZGCItaIcpVEbapsv/RGlFOGCd0n/c9pvhA+EQRsFzpdp8NCA3ZnkjbZ+/5bJ8TFlw1DN7c3Pyf/tN/SiWSk5Pjm5vrkg+ys7Pz4MGDbDbLEnpbW1sikZA0oBB+Ezk6wB3sDQgOKMft9cbOE8n01icPRzXSDi+aLeF1Evmivp4jgMgQQXCR48uLS99+/fX33363sbGRSCUR0RCCMZZIlTU2Nl6+fPmrX/6iubk5l+MyVhNCJjJvdFgRkfgtXMy3HzZgSzg52Dtr74DgipV5OpcgQFC3gQkgWZgxAAJAZATAiAu5URkiMuYV9VIxCEE9PT3/9b/+V8bY1NRUJpNhjHHOt7a2vv/++53dbEVFVUtLMzCZzDSAK2SH4xxdBsFqxc8VckWMbcLUiVQxRUF8L/axAPr21JN2CDez3jG0hTMXAtns9Mzv/+3fHt5/kE6nU6mUQJCeprLyZGtr640bN7788sva2tpcTobQXMUGytuPTQirIyhcB32w84oTiCN7C17THf2/+hK7SJqeQwB0xYVRWSch/TWaFNTmUglE74wGGJlT8TNnzvy3//bfhMEnJiYMw0BELsTq6uof/v336XS6tq66vr6eFFEinUKecLUqaoiIMXWeEswzCmwKzwkfmww5IhRA5iBrLTN45izEbEsDPDYDIgoyBB8fHfuXf/rnly+eZY1cIpEQAESkJfSqisru7u7bt29//vnnqVQlN4QngzsoXRfAlV/4sHrIoU4VjwOOuZ8ozgIlpSs7NB/nWnK81wBWdIt8kle9CpEhIgiSDCMCEErWfYvWxsBtPVdUVPT29l6/eePNmzepVGpqfGIrm02lUgtz888Ru7/5traqeujihZbmJoMLwzDkfZncRQU0IgLlLgLkxiTmYxEBMA0AkFysInscOoGFvVgkB6cjVf96/Nj+QSPwLoHMhYgS8j4OA7BUvOV0dD7Lj2QelsxMJ0qDUvbJlys9mCKZ0HMZ/urVy4c//Tj86vXKygpZyySJSAD1tLd+/vnn12/eampqSST0nCHDNVxm3HJuavrdbcjPgavPihujiWi0QuMw6lV+OOW4uQOFYm+1KqFY8BA08p4ZFtv3mz7RscFIyAAsuu5lx4GF5aBXF6CBEu1EQA4cLY2EJHeK0YiIaTKizMi9igelMQSiurZq4MzgrVu33r9/++zJk5m5OcMwGDNmp2d0/fF3f+4uS+hDQ0PVdTWGwYmDSdJmpLiEmNwch5gT9jC1m29htf0rKHFsRJS7pBEKclxFe4tz7j96H5+LGp9nGl0fPyE/PkU/fit5a0IK081SI/lLE2bHVMQ4mXYLEQmUQVpEAEaAiIkES6ezzx4/uf/T3Xcj79fWNgBRzjeFEIyx/t6+z+58funK5bq6Ol3TjVwOkdmMOcezeexmdPuxPfbYS1GZOSt1CJNUJRwyWOFvIY5+8R8P47p672stdSDfbXwMDvfwUjiq8mwzDkGW+4ZAMDDnE4I4Y0zSP+TFGphpVwGgrq7uzJkzn3xya3p68unTp3Nzc5x4Nrs7MTFRXl7+dW8vEOs/O1hVWZnL5lCQFC5WiJuEElmXKs+8r/QnmGwmW1b4Za/fClVbL9BGLSIpcf/jMUpuh0uA6M/e7kAB3Of9z+9C+rBrzuK9iz3rtJlEAGCvXuCW1YOMmSqHUUrXNtY3Xzx7/uN3346+f7u+vg7MDDVwzhOJxPlzQ1988cWZc2crqipJAA+S3JLUYVkpco8/Tano/jnCJcnswjH3Ex0UTLMmTx5+ZdGjeqGZKcabQkhjrKqqcmCg/9d/+Rc6sn9eWd3J7mialslk5mZmv//+ewBIJpN1dXVybo/mniMCrQ0IvIEFy7hXvVHM9NZzdCd+d8d7j5uV9kGiMAqSK8AYdIK9ptcV9rV+JCIk2Fhfv//Dj3/64+8XFhbk5A8ABICu64lU8syZM3/xF3/R29sPAAaXcz/vrtj2vwE3OS4oeWdKOGjsnT/o1xqq1e7KtoDOqEclaurJQwSWN1Ou54rY8yWRSNTX152/eOHXq79GopW1Nc65pmnpdHpqYvLrP/1ZCFFRUXGp5hIRgdQDKKzpgL0KAO2vcrW1yRVX9p1hil7zcIY80YhwrkR8nMQ584HyiYoj+kzDwIrrqhF+9wdFIwhYWV7+7utvfvj+26WlFdNJRAAAiUSiqqri4sWLv/71r9vb24mIcyc6pfYKVcUolsnHxev8qB72g8CxsDpMCtC+PR/O6LP4RzY8HHNlCAOQXPVTfe3atd3dXS5yK6tLuSwyxra3t9+/f/+Hf/8957yyprp64DRZiTLAqq2n7ezYSRjdwzNz8f+0vzY45jjsFQwHAVX4204isNSNjH8DobkgEVEITqTNzcz+6fd/eHD/p/X1dUIQRJJJXVZW1tTUdOPGjV/+8pd1DfW5nJXWmrinn6CykP+IHv3jwpH4ieJbVHFkt8u3ioBC4fuo8tEf3WXulboAQD72geyg8kw1IyOCzAbJwJrhy82rGhubb968vbO5NTU98fwlrq2tCWEYBoyOjgJAY2N9MqX3D5ypq6vlWUOQANDAcuyYTFH11iAQkeTiBEEIIGxClOUqUuWpmTNCyOwYYS15+Jyd+DHbOKUVQIz0XRXVDm7qj7A/u+9VYOspRUiqsPMLmRlPSDhb6to+eDvewognEwkieDvy5smDh0+fPJqbm8tkMoQgADinXC7X1tZy8+bNz+583tHRUVVVwTkn4DYb2ey05JrdAQAhMy2Jw14/Et0P7V/tcEpYX/JfpWJv/fwkzlo/VMSX/+r5YeX4D4bF7sKu8kac/IxoUM1ikxEIKM+0Ygyo8C+sC02vjXWZIzfIWhlKJAiAkLW3t96588X6+ubs7Oz7sbGtrS0BPJvdHRkZZow1Nzcjo76+voqqasPgxLlTN8klscokshSOIhlQEYJmjITUmb+dyAbQ3kbNCUz42zNMsETHUaMRU3pEHC90jIcxCPwaIf5d/CV4+rnVvADgZhL5j7sg4/vmRqomewgA7G3vAEBGweQCRcsFqRm53MsXLx/df/DyxYv5+cVcLidt/Rw3hBC9vb23b9+8fft2W0trRVm5EALIudzHnZE3NbnPiBjCBTggeFo+sGELy8GxV6sDwBnmcbSYeq+SDjpoRI/cMBTacwJLcJ3mCjnL/TPBlLkAIFzjXoAle5ky05G+flLksOSlmjxQdbWO6YuSMUYCACHvLmOUKACxs7vrE7o1Pz+/srgyNjGxtrYmgG/vpF++fKnrenNzI/FcZ/epiory3G6WiOSUQ6khyqogICeBiifaPeFX10Ywp4amlokpMQ7NUxA9BwnuFRgwlu0j9sFgyeDmIqllhumgML5bIILVjfenwFkkmTNflzvP1C8EFpPInGWAAALGWCLBMunsk2cvHv7045uXLxYXF3O5nBACGMvlOGpwbmDws88+u3r9WkNTcyKhCSGAEQAwS3P5IxCyVnKFhMVWi37qwEbYD4foWPiXDxongk9UmOfVv6wMYhCIIk6wR4Jcog/KUi/JKrL9mrmckUqlenq6rly7Njk9bQjx9OlTmeh6dXU1l8t9/21dIpFIJsoqKs6xfPLNHIxWsjpVyEZ44j8ChPWHIlpXBzXsVQOBEOQSc1sY2zFf1UMPRELQ5sbak0eP//SHP06NT+zu7gowp3qosbJEeV9f35dffnnh0sWqqipZlNoxwtYCWB7Pj7ALlVDCQcHnA3L9FBEBc9FCg/a1EUJwziurqk4PDty8eXN2etIQYmRkRC4cW15efvXqVWNjI2NQXl7ee6qCC64p2SJICJvK5KcFUVBt7V8PgIG4ZxkbbQ98GLPrfTyFj/+l8oZcZCIEkPwCbpCAlaXl+z/+9O0330xMTGSzWQK5wT1pmlZeXn7mzJlf/vKXg4ODqVS5+gr8HiJXXY7ePvnALfgSjg7qPN/uZl4fUBy4vKsICKhu2hQ4owksJDCfhpdRbk70TflPRJqm2WJBCEFE1dXVg2fO3bo1v7aykuN8e3ubkUbE5+fnnz9/Xl9fi4iVlZXJZIcQgmngyiGDzFYUHho7KKokjJFqx0UsHH/ejSeuGX2a+vUIVdXem1Q1A+yXK4SwD3PJIrKmMETEGBBx4Li4sHD3u+8f/Hh3ZmYmk8kAQ2AMAPRkoqqq4tKlS7/85S97TvVpmmutTFg10NqgHI6FovmQcch+oj0PjMDYrwrnCAJzpr5qvBfAzskfFi9iVvlE5D9H7ihskZEk10OSL8F2HgkiBth9qvev/uo/CgFzcwvZbNYwDE3DXC7z/PlzwzAqKir0BOvp7q2qqsxmc5ybi4MAFdvL3AWAbA+RXQ0ybyi3SrC4TtY6AvscF9MKC/WzFgthUbgIL3vAcYXdE+H6jX66aH6T9NyrvUg9LXidcMQdJd3SKY3MfxkCyh/kIg8yF+4CgEGAyMC1KECkUkkNtNH3Y08ePXxw797U+MTG9hYBE0BCiJ1Mpr6+9tKlS5/e/mRwcLCpqYkxJggBtbyaABHlQnh1B72DRKExOvsICzkeiOA34p/iFqJXPoyZ53HGfmIy8ZmG0UwTP7znM9DAiu7KOK0av1X3bQnob9YBnxdJfnUkvympQ5iwAEBAjOHZoXNE/zXHaXFxcXV11RAcNbazs/3gwb1cLiP9xV1dXXqqPJvNyVX+yIjMHNcW20egPO69l2Lfy6pKV5TFIZJGoRnHU5690DhexK8s6CsLf4ngE9fg7lf+PhbIQPRwGAtiqO0Bnh4b0CwY8jkaRCi3zjOpz1aX42aeKQI0334qhcQSIyPDjx48fPTw/uTk+M7OLgEIBC5EJpNpa2u7evXy559/2t/fX1dXh6iw/e2c6+D0Gae2JpPoOCCMMxh2Jihn7iXa7F8lUQhKGufgEGZ5+j+HIUz4+F1FfpmT5806xLxwycMsM58Tes6zVkhoAC5GKpgric2aaFayOZMqSsJagCyVGnISjLFLly5pmra5ubm4uLi2sZ7L5VCDtY3Vu3fvCiFqamqu3aCWlhY9maRMhogLYOjkzxbyeUyxIEjKCiIuiXU2k8jlM5KXerkqDEDIbR58rSo/+9mWe0PYm/K/i0CuYuAsNcK2cam5wmsfVqs48fL9SBimGiRERFyqflu/uKIRGlBZMpnNGi9fPHty//HTJ0/GpybTuzvAUADkcpyT6OnqvHHjxq3bn3b39NbU1ACQIAaoMYVLp7JWwRSqQunV6iwmenYZBv+MI5od7P98zB2ae8eJ4BNJRPlri86sQUTV1Hf7xV2RVXuFF1kphzKcamurL1+9vLS09PbtWyI+OztLCIwxuWKooakxlUolEome7l6VjuS6HTg8UnfvZq7T7AxK7qCBBx8Q8+jQ3PB7cEU5CBP69poSc1GuHeonUvuVzVbjWWNja+vl82fff/vtu5G3qxvrRERMk3q3oqKsq6vr008/vXn9RmtrazKZNAwjTtj/A13ZG9dJtIdCSijBBtl5ph1XkXk8pphV5pDSYg5j60gXjlBL5pwbHBobG27fvj07Ozs1Mfby9euFpcVUKkVE09PTnPOmpiZN05LJZGt7pxBCk7nw8rFQSVlC5ucQEZEkkB+K5BAhtlec8PL+Q9BHIgSKY2XaL8chEoGT/A4Vyc8YA+JGjq8urzx++Oj7b799//bdxsYGoCaZRIyxqqqq0339X9z52ZUrVxoaGhKJhGEIh4zgc4jYhR+6vXHseAcfkNFVQhwcRg9Uc2WYvSufNLamBuZXPx8ErFyrdgrtXJYDQEtba3l5+ejo6Oz8/OvXrxeWFjVN45yPj49rmtbc3MwYu3n7VkNDA8hwI7nVoa1Q7H8BEDU7KAJgzlxiTVuISbbUMRtSLMRVFH0JHDdh5UN4CBxd70XOXJzkqnIZo/WTtJGyWWNhfvbh/Qf3fvhpdHR0Y2MDNUaIJISeTFSmUufOnfviiy/OX7xQW1uraZphGC6Gh5IFz0NPC1kqsc+ReLRUr+OIE+QngoiX5+bLuMatLbusPAsaAFiUDgEAhIyINIVVQSQ5OC4+jsrQsRdCWr0VlGsBEbkARDh/8cL/9f/83+Xl5f/8z/+cyRmAWiKVzOSy9368n06ndV0HgM7OzrLyitxuTggh5SYJRERCDgBoJdGWNjqR6ZWXgQC0cow60WmGZD2Xx8OqrAQu4vosp/yQMuPHY/0RGOeIKgZC8zIUAfuNHivebwCFRADKO0IiYbFrnRgveM9MJjUNtInx8UcPHt7/6e67kTdra2uEwAFIGOndnaqqqrNnB2/evHn16tXuU72JVMoSo5KBBUTE1ACVLBwFAAhAQJMfYR5Xzjl4RRwn1hHtywfleFSZnomuJKn6OXqxUUBssIR9IKwPFKr+97/+3AtUxpT1SSMiQgHASO73Yv0aUQ6Z83hPUZZFL2OtaG1uLI1pAjCtakIELaHfvH2LMfbb3/7266//tJvNIGIildze3v7666+3t3cSidT1m6K9szORSGYyWRAEgIRAlv9J7k0jCzQZRpwhIlq7KMo2tJlEcr8cxiyLMGSf4xiIY8mFnRBtZ/vZAXGiu/lt92i9o/5qsV/j9Lc4cWkVUWwIdZImgKydiEzzmpvLWRxuUSLJgPT3b98/vP/TvR/uvn/7bnNzWzqJuOA7OzuNjY0Xzw99+umnly9fbuto17SEECCT4pKVGxcRmcXVVpxEpDTJocnJfU4P4lsvLvhVSd7IRD7tcxAWWgkq/HohPpOoULZCtP7K/5ZRWSggdzB02cNmLNnXnazxJ/mDckKtdDxZEynlGSAQcFmyfY4gSJaV/+xnPy8rq/i7v/v/rq2t5bjBGEukylZW1n7/+9/v7Owkk/qFS5dbWlqYnqSdXQAgIECLoGRVhBEwplsBD0+o294HzdkfSx4Hi1afj/Pu+KaLEf4sdNyxyK++vmE9o6eU/Vnd8e0cswe66VoeuI54vH9IaCbINddDqBNkABAMgcicL6dSSTLEm+HhRw/uP7h37927ke3tbekk4obYzWbb2louX7782ec/O3/xUlNTA4C5sabiTASIXNSszGojKGD+0eovMGxEl6TxCfMTFQ2yo9udO46l62EY+X8FJQbLOQeAlpaWO3fuLC8uTU5Ojrx7u7a2hskkAExNTeVymaamJl3XNU1rb2+Xq8xIKUrCY08QEQiH7e+rHoGSc9R/+ceAI3xkItfeQBjUW4hISNWsbFdHPpc5IhqZ3PrWxqsXL3/6/rvh4eHl5WVDcNQSJAQhVFRUdHa237hx49atW6dOnaqsLOecnAWMsgI21e0jQpRM/9jGQgkHBGexjdWhbOkNAPGySZhXWQUVcndEQDAMgwh7enoqyspnZ2cXFubGJyfW19eTySQnMT4+DsDqG+sIxU1Na21qRQDGmBDCSpDq5QqpG2h6rG1SckYQETjuANwH2/9ICCCFzgYLRUEP5bFr92WPqj5HacIrx4GrnRVA0zQUlMsa66trz58+/vGHu2/evFlZWZFOIrnGsLq6+tSpU5988sn169fbOzvKyso4J1tJ+cP67hjvh0dWDYaXcAcAbm0OJb3zsUAcjkwjoFh2naqblJ4pY5lyoq92TLSyvQhhenlyOUMQ9Q+cLisrGxt7v7q6OjUzvbm5qevJ3Wzm7du3uq43NNYBMO3qlbraBnPSYWXHt8tEREKT0qhKBpWy6tIv0jXh1C02i/9EcOSPhzCIKZTCmtQMtQIAgBCO78nyS6JcspDbzS4vLT179PDeD3ffjbxdXV1lugaMCc6ZrtVV1J0+ffrTTz+9cuVKW1ubrjPDMOJU25rlfXTT26PCMfETxV89mP8cT5Z4Jfhr/wNEJElBaG1BZep16Zs3+ZzmKl+bSeTyarv2F5A10whI2lhg7n7GksnkJ598ouv6//yf//inr/+cywlN01LlyfTuzjd//nptbY2Ibty62dnRnSwv293dJUGaKUktp74pXoEAkCGAUJPc2W4RU9qSZDQx0zi0g9OuGILangcxzMIit8VZzxld43DBEeYhLo6fWIC5D52E9AehvbuEjN7LPqPkjOBABITIVFGbSGg6wvTU3P27Pzy8/2B4eHh1dZUIETUi3M3mystTp0+fvnHjxmef3Tk9OJAqL7OiLs4MEMnxJ5odybQPmO0/OiwOURxWSJyInP9MV2AKANAXpQlEWCfxORkj2EMfdXjhJCCiRwWGnuJwTNzcRm8n8t7LNYdEJyaM5qhkAGAb7U6tGAGAKeLJSU6E6JxGaPHwEatra37+1ZdlFal//Md/vHfvnuzDZRXl6+urf/j336+trSHS9as3Oru7Enpie3dXzhCYNVJIJrpDmaTC9CLJ/BTWrsaomvvgHSbMJq1YIijO0IgTrwuTGGHvLkyqRNw6YlDveYDHvDA6ilsYD5eUZcvmVmZCHkciEDaLCEDyBZIagIaj76fu/fjTgx/vvn79enNzExEBURDt7GSqa6vODw3dvHn91ie3e3p6dF23GHMgMyIiOZrFzdcWROKwMhPFtx+iz4z/rk27TjW6wNE+riBNRClue6wUtT587K3Nw7iKLFwEhR2MKN/NPUH5g1QKpkUnlPqbOeNijzZ7FQWguS4BSNiboFmTIoEoFxkzAKitr/vNb/6qpqbut7/97bMXzwFI13UNy+bn5//pd/97bX2TMXbu/FBba4dAMDLCocaatQUEYCgUhqE50SIANeufzWqVlqyvcQqVz8Vif8dnd/rvGwDbLIh+aW6Oqhfua20tkNcBFNAOqu5W4g3uyJcl64QSEZPTFpWvioIYMoNEMqkxYq9evnpy/+FPP/4w8np4M71pOo8MsZvNtDQ1nj9//pPPPr1161Z7e7uVGstNzESzq6BiCNnP6GaZFUtyxucgf0Q4Jn6i4iL/8sJYRozLH69+jnJaqydI93x3d3cqlVpaWlhZWXk/Nrq+vp5IJIQQk9MzhqD6+nohBN2m1vZOXdcZYyDIFZ22fLf2VjUeqKPrIyQQHVv4X0SEb96eiWmaltvNrGxsvHj29N6PPw0PDy8uLhqGoSdTnAtkUFlZ2d7eev369Zs3bw4MDFRX1xCQ4MJTmqnulX4Lkf32Q0KYvize0ChZ8ycFh7/UfC/zPbdWcQWlkUD44mZqhCKRSAwODiZS+tzc3Pbm1vT09MbWZiKRyGaz4+PjqEFtbbUwCACaW9pYQkeZq8hbGkNEuY0y+EaKKqCUIwU94jHBB7hu1KauuINGPu0DAACIqAHu7GTWVlefPn7y4/c/vB0ZXl5eBgAtoee4AIY1tVWnentv3rx+8+bNU6dOVVRUcM4553bWarCKAgDydYMP2AIJZA8dAD6Qnvkx4QAnk3vrZ7aXwdNR/VMYaRx65uGOX0CIVCo1NDSkadrU1FQml52ZmUmn01oykU6n3717l0wma2pqcrkcXIHa+sYE06SKQUShJrnzrZPwq5UgMABBxN0FHBAKooMJ5UMBA3Zvb/NoKZp+WaceMV+xfJUAiJhAbXc7s7y08PTxkx/vfv/uzcjKyhJoOmrM4KQl9MbqqtOnT0uyand3t67rQgiPWQIWjyMQH7CWOYY4QX6iMF+y18cf4GeVcVnymb/g7BfmyjfkA6LcOdLZ/A/J3FXNZhUhEpFAAEQQklECRERM1+oa6n/xi1/U1NT89h//4e7duwYnxrSy8vLt7e0//vHPS0tLmUzmxq2bpwfPJstSu+kdINJASReKAmUWADI5KYJIA4YyxIxK7hvTTJRS1ZONSK4NpoOxQqJ97dG5RfLnBfAzX8KOhAuP4P5Dzgdr5zgQBGTt7BMHksWG3mrJ+hCY3QIAiHkMTQIz+AsARKDrWoLBzMrKd3/6+tHD+69fv15dXUbUmI6cKJPLJhH6+weuX732xZ2fnRs6kypLkcnRNXdfMj8AIXG1MYjMpxPIARFBA4vXENQ+xcLelmDEjf3Kfh5W87zRlcggcFjvLVnwB4f9m9qBqQH8ZhzzfYCgHhiX9WbvgGafIZkXlsZxs5CsEqx5u1mmTcknINtglZwjRtZiA0SZC0ku4EcweYi6rre3tv3lX/5lY33Db3/72yfPnkqPc0VFxcrS6r/9y7+vLK1mdnZvfHLr9OBgguk7O7sGEiIyRScKMlDNExE0D7ZGHCj2vbr3GSuQmBgWn/f/urdxl1+zhMGvX/LwWEM+g2s5EgEAySRWFhfARQcOF1b2ahFwu2YszpfJJCIgEAzMDRLI3lHIrlVSQ0SYmpz99utvHj94OPz69ebmOmOMgBkCMplMRVXluXNnbt68eefOnb6+vmSyzKYkWxrWyySSes363eaxHpCloaLgSH4MuPqh+l4kk0h6SJXB4ZyfN4LoO1bSJoePMKZAmPax1Uegcgks3HPOPvQaer+hK+uo5j8n5FIAx/vDJJ/ckUtSmwgCS86QNY2Rvh4C0JOJrp7u//xf/6axueEf/uF/jIyMADAtkdQSyamZ2d/9v/9rZWUlk8lcvX6tq6eXiHKZDBAxYkSAKKRyU7dPkeYqWP6FgKw9xMHUhi4PERGPzVqNRqA2Dyw2773slxu8RiGMuW8dd2oSoEfId7r/i3MFWctfouussofMmtvdwXVLqeFlBMmae6K9q511rXVfEAhJHQFg5M37H7779tGDB+9ev0mn06gnEJFzyGQy9VUNFy+ev33z1p07dzq6Ol3LIDypYEiphvqcB+4k8lsmEtFj+YOV5yfIT1QQYrl47RVngd3O43dQWUUqrOUAXg+r7QpFxFQq1dvbm0gkFpYWM5nM6Oj4yuqqrmm5XG5mZgYEVVRU5HI5TtTdfaqiooIxRgZHRCIk4oiqXW6WCbaoVeucj1t0uHyjEzNs1J5gqawCowQhLWsvG3TKt8K/QhHIiJhKadmdzMLy8pNHj+/9dPfNmzdry0tZbmiJZI5zYFhVVdXW1nbjxo3bN28NDAxUVVcTETc4at7lVxAuST8sN/weO1iJdvdxoKDwYPGxtz5mW/NhlVcsKvMIY6yysvLs2bMJTZ+fnweAsYnxzfUNTdMymczGxkZC05LJZI4bRNTR3lVeXo4InDuuZHIyC8htsEKrd2xYRUf8cvcMd/Iq4d5uYk8FOjmDXEdkPxFCSB4QY0xHSKczS4vzD+8/uP/jT+/evVtZWRHC0BJ6jnPGWG19XU9P182bN2/evN7X11dZWSkEcC4wyEz3LQT48Pmqe1YcJXVzYnFcjNiATNXxoM4dPLNxUOYv/p88hVRVVZ0/f56IFuYWE5o+MTW5s7PDUE+n01sbm8nkfV3XDcPIGkZLS1tZWZkQAtw8dyeHRgifyD4idVDYnOsYsFmPQPV41l7tE+FtSN7TwHQXWpmxUOWrEjn9RdM0RNra2p6fm3t4/8HDn+69ezeysrYGALqu5wyButbU1NQ/0Hf79u1r16519XSnUilJVlXjJdFitiRLDx9FyQ+/f+wnchhnxAavyXQZOjKOmq8gy1nrLdlxk6MgIiRGZK36BUbEEcTOzs7UxOSjR4/+/u///v7DB0aW21sMlqfKzg6d+fLLL7/48ufXbtxKppI76QwAMBKIKEw+kbn+HxFttotHB9gxPbCilzarSBXQtj8+TCXkawY/9vYG97I+P5w3FDey5/LfqyknmYylC0/fcK8Yl15/ucYb5PnyHKUPyONKHyNvPxGo+vKFpmkJhjPTs//+z//y4P5PE6Nja2trHEgAAbGdbEZLsKGhoZvXb925c+fs0JmysrLAve3tt2xyo5BZua2cExQpHNLmVhOHNWPsHhI2NuNkI8rfH+LIrmAXsDKP8p0WlqemhAAUT4BAPhmyRznvKyR+XoOw2BEDyE9fLApUxpzNGbF+sqSWZCkSR8Stjc2xsbG7d+/+/d///cuXrwFAAGeAKLCiouL8pfM//+rLn3/5i8vXrmoa29nZ1ZTd1swPzEts8cxPbB1ky0/Fynfy6FuCKMxb7e82fiZRdOQfYpwf4xzlPfrrFPZ6yc4G6At1htzROUIo3yZ31LUJufQvjCNpKhKlDlLCCwCwo7v2eOT2BknW3CylM0QYfT/2L//8T08fP37//v3mxjZYEYvd3d2yivLLly/eunXrzp07/f39iUTCN5AZWBaOvQrefgSrJxTGu9yfionDPA2LBsfSMn5NEQchlQ9jzBVm/3xsOEgbNSaHMS91aD9yCcARQoX1AQEEIFgMR3OgslLtTysyAfaOvYgohCChBC2IAGBjbX109N2333779//wj2NjYyQlDAAi1VbXXLtx/ec///nPv/py4NyQECIjVQw6qTMRNEQEFGBpFnu/NmUi453FeGY0tpy01nmA8nyqRRfdnoG/RogUf38IWJfgQaHd1HocR1OE7YcDsUZBrB4VLtyY1TcsNqUsFME5olybTDAAePH82R//7Y/PHj0eHx/d2toSQqDGBId0Zreuru7q1cu3P/3k888/lcvN1Deo5nJVH03Nfxf+yKFPGiJA1IPRPcR/judeh5/c4LDxofKJCkbMTQQQMb5zTTUvNC1RUYH9/f26ri8vL+u6Pjw8srS0RAxzudzS5hK+Jk3TpG+1f+BMQ0ODpmk8mzOrZ6//RGatbgvYrM3tm0c1N5gl7k1q4gfsky3IpHPHVQq+POymDpM26ByBJk1Tvkdd13e3d8ZnZp48evzg/k8jIyPbG5uGYUBCy3FOhDU1Ne2dbdevX799+3b/wOmqqioAMAwjTGjKLFcAgM5WyA4O0R9/0DF/79wpGp4wRdCLPpEMhRI+FBQwT1DlP1mpzaqrqwcHB4loeXm5rKzi3bt3a2srgLCTzaTT6ZcvXxICF2AYRk9fb0NDAyPwbJLoj/EC+OfJcjWBVwf5BYvqhT9IsRNHzhRTFhXqOAgsIeSXWPV0orjW/jKgBqvI2Y+MMYaImgZbm9tTk5MP7997eP/+6Ojo5uam4IC6ZhgGY6y+saGnp+fWrVsyJ1F5eTmRdwNNp4puJ5H/nI+TsKnaWh/h43+4OGrqYmhMQuYr2Fdn888FzGmDFOyMQKC5STmixlhtbe3Zs2cNw1heXbtvSRJE3N3N7Kbnnz15KgmM6d3drp5T9VU1QghBJDc7B8ttjSw4M1Gg9gmsc9gve24HADgp5p98O9GMmz2rJ3KSk0gfkMMXIuUczwdNY4zBxtrG+MToT3d/fPTg3sTY5MbGGiKixnLZLNP11tZmmZPo2vWrXV1diVQSgAkjWMUEPtTenigIonghvpPRZ/aJj4RP5C3Zis0Gx4rdEdSA9eq++zq/qvFeGeVTBxUC7OzsLC4uPn746O/+7u8ePny4k0lzzkGQEELX9VOnTl2/eePXf/mbr776qqyiIpfJyDsxxhgxBGVjAttDb0U17c+ImlI9gYiSVWTmrpF8E6a6CL3zk3xjMnp9Zpzoyl7g8un4/DKokOHV/PzmCSp3bB9dXr5g2dBCVUvCWx+yntRTW+Hi6TAASOlsfGz0n/7n/3v/p3uzs7Obm5uycELMZDKMsYsXL376+WeffPLJuXPnUqkUAAMnO6CaCcUFz/TPNO5D4ueB73vffCIVYTydQrkDtiaTnlCPnWH+r1Q1OG7geTQl+hR80xICUVQ+URzEkTz+43u7S1icOaBksnimVkYYrlhybE/8u2BepCdPjeOFAY2EzECH29vbczOzP/zww9/93d+9evXKMAzDyEoplEgkTvX137x586//01/duXNHS6TsnWhNbhGa2Wc8fiKVNqIeB/ceZ7ZWknwZmYvHL2/j8Yn8v4qgg3tAwZrIfr/qrWPO0GLHftEzzxG+aQ9TDDahrnZXsulxMzJPNkeAMdCRvRke/l//8D+ePHki09CCxSTKZDKp8rJr16589tlnn3zyyenTpzXN2a1M5lC3syAhop3N2jaT3PudhTSC+zk9jRPQFoXJEM+rUVa7hNy3ID6RWiXVAkRElTFn1TlmFLqEWDhcFROTYRR4pr8c/1XR942Gl70id6C3YSc7kyfEaSC/Fa0esXe3tFhFtoElNjc3Z6dn/vjHP/72t//4fmzUWjpEnPPK8orBs2dufXL7b/7mb65euQ4ABhlCCB11IpLcIgGAiBoiKKwiRLSimyqHyGEputdGuGZk7v4gCtG5Klyr5Gz1HX2N1V5Of1DtSH8lwsOT0VIo+JxCV6KpitfaGdy1foKstQjST+SRn2TVX/JVJb+IA+m6pgE8evjwn/7n/3j5/MXc3NzOzg4iSiW1vbNTU1Nz+/btTz779JNPPunp6UFEz3qIwPdlc808nwuCr8GFdTubBxSfvf6Rcj8/Uj7Rnh2u0Reik90GENFiADlBV4ZYUVHR3d0NAOvr6zU1NY8fP5ydnRXM4EZud2t3fHxcBvHS6fTly5e7urpSqZQAEOYcgFl+H2Vxr39nE/KGiAF8a5LDbdzjHwpzKTNrJV30EwXQezwnxOgPduTW/Gz57Djnqvzya1/7AzHzRtJrw4htbKy9eP/26eMnD+8/GBsb293dlUTNHOdCiOramt6eU7dv375161ZfX19FRQUAZHM8bPO7iAdUvhR06VEhNIiHVi6MsNdt9wT7TEslBBNES06iEvYJ9GVSKIoUVaamrq6r6hQZoSVBJFUMY1VVVaf6eg3D2NzcbKpvePL82fLyIuc8k8ns7u6Oj44Jg2sabm5uXjh/qbOzU08lERG48MtV+zOz1smSlR0ZzI0RXBFpMhmvtr/2QKNQh8T3th4nQCLF9gEVh2OiJvgIXBcshAAmvTykaZqU9atLS6Pv3z/66f6Tx48nJiZ2MxkhBOpazsghYlNLc19f36effnrz5k25NytZTCIiQmWPM1PPys+WJixiyox9gO3Vds9PFQmzDRSXaMxOftS0lBJOPiLESKwFEW74e29gf5asIkQkIQCAMa22trY8Vba7u7u7m/3pp59evny5ur4mBM9ms0aWjwy/NQwjoemry2tD5883tTbpus6IcS4Xi5kU97Bn8age8+G8pNewZ3INsT1L3ZhOokCEGpp5FisI1fllT2ostYtBwZW4iOo27neBaObVJV9dXXwi6eOTsxiAxfn5d29G7v9099mTp3PTM5lMhgMxXctms6hpHR0dg2dOf/b5J1evXe/o6JD7fQvTXRN3XoaQZxJXIEqiuAAcEz/Rfqy9sEiyHy5LAhHl3gHOilwIHEneulnjTQsc88xF0RKIcpt7NPPREBABY6y9vf1v/uY/dnV15HKZ3d3d9Y1VznmiIsU5n5iYWl/ffPv27X/5L//lN7/5TVNLM9PN10QgI4dICuPUlCkEQAQWk4jMPXGcmhDZ/njnSJDfXVLyotlAYSv/g1ss3/FQKH4ZtanVmqDiC3BWe3kFXFieDAC5zpl8u5sFX4BmNiIBAGhyiASSlK2OV95XZZNDhDJBrJxaMOCUze7MTE79y+/+6d6PP21sbGQyGUSUeanllKDvVO9Xv/j5zZs3Tw+cSaVSuRxnjDHNboQAbpRLy6r+eLO9rNNCGqTYCPS/CPdPEDJ+IzpM2E/OtM3dsb1ryz08pBh3LOE4IEwuFTeG7z/fL/G8d1Slq1x1b/M3QxA/FQKBGZkDprIUwfQ4ExEyAiIgxq0d0PpO9/+3hobO9tbdTPpFdndra0sqhWx2d3x8dHV1dXh45G//9m+/+uqrppZGLZHgQARkPwNae5owc5cuAlsqKnEIU/ko7hIiJRee1IZKfNh6okJtd39b+U3x+O86L38kjLhkk7xcWYSkNe/TpLJXuFxvAE46UkKHgyNjOcqDyEivc5Upya19LQFlTiLzjty+ljmlERFwymazY6Oj/+9v//HJ48fbG5vZ7C4gaZomAIi4lkicHRz48ssvr9243tvbq+lJIQCAmHQEIcpssm6CtZ3iMEBLhvF3Dteb5PQ0SxVHWIn5+AIBzFPzF1mmOoHNV2zR9UuxGJQfJ+Iz38M0QvzzoxHNpnRgjjtzh03X/MV1Wuwbe+PHCGAJbFKsKcEsgQBgcAEAiVTZufMXWlrampqatrc3+fvc5vZWKpXSkKXTWyPDb5cXV96+Gfm//p//+/ann5RXViYSCYGCmYwVgYCSscJB7ryp5kdgysJZsKMRAM5OZ/bOm9b5Hn+9OYtxhwCd85XP0ZZDNKSECeCkMLf09l+l3pHIrqT9UEzhdjFrkuIinJpWbgw73pyXSD3ClKtkLl15AnO6gVUk2nuaMWt9BjEzRxSQkDMaznk2s/Pm1et//O//vzevXm6mtzNGBjQm4wuGEFUVFRcvXvzZz+9cv369p7tbhtUBwNrbzstfU8H+/+39538cR5bvCZ8TmVkWBVMoeEeCViJFK1GmW3Nnenvm3ud+9tndv/U+c+fObs9sT2taUsuRohMdCMIDhYIHymdGPC8iMyrSVKFgCZLn+4IsZKXPrDgRv2NCAAJ6oxg4uBDagta/0EAHjB/t1/3Oc0Z0orcJuj23A7+C4Qgd/dvQVxyRud1qholEIpmMX7t27f/6P/6Pwf7+73/8fn5+vlSsVKtVxsyNjQ3Hqf/b//Onra2tTz/99OLlSwMDA4lkol63HccJ+m/1CBdQX3HOQevNB+OJ9PMM9G+1JWchvq5ZQyh/uppC1IZ3t8WwLejEiKq5AFpTJYSQvXa3XnVzz6qWaMYBwLJMAKiV6/n88stnzx8/fPD44aO1/GqdO8AQEW3brtbrvb29ly5d+uze3U/v3hsbH5eRREJwAK5PfKA8D+pwUSqJt7L3np+6SHRse1OKX2s30aGcSB9c60+cHFK/DscZtcGB30PlLRCi8fNPJpPJeOLu3bvVanVoaOjHH39cWlmpVCr1et1xnLW1Ncdx/uWf/+faauHm3ZuXLl3qGxiKx2PcrstuHOcc9ESGUG0vPZ4ibGjUuoiolKMT4DhDipqIROpiwx4Lfaug9QnY3H2P6z+6XlXQtS9qb0K4d7Sxc/+YyrIYAKuWKitL+adPHj168OvTJ0/WVwtCCIdxgViv14QQuf7c1atXv/riy1t3bo+MjMTjcS5A8AhTFug8NB79BzDHmeLQsQkEcXIgoBDtCQbN9uAP3lHxPs0GOOjFkqRSqcRw/IsvvgBuf/v99w8ePCgUCpVKxXEcxxH5fB6Ax5OJhaXFW7duTZw/n81mY6ZZq9UCjaJs3wKJSNKr4UbL+tIyfBs2fBJuAI7+1aFviW//h/jh77u2fub7rtkslLX1WYX3rPzo0n/Dtbuq/lVLOHhuHgAhQAjBEYTDEZExZpoGOKJUKi/OLzx5/PDhg19ePX+2trbGETgIxrBWrQnEsbGxq1ev/u53v7t1687g4KBhxEAImzs+9/6+nXlX1Wp9n04ICgIFeI90ovaV4FAtnn10ylZaiVbxx10HBYBws/q9+hEcEZj8iSIAgONwWWm4f3Dov//v//vQyIjjOMhxdn5eCGEYlhBit7j3n9/+9dmzF/l84Y/VOkNzaHiAC8cWDmOMCb1xd1QEkPdZRi014nG88xQNlyRq2c4RdV7kT1O2y6286MeO1tvm3kArcG7opSjzUJxQ41ft+l2bGFD5LXphj3orCa4v3Z1PATyPjVyTe64WkEMp7ZzdW4bI5Gx3qlpB4wQ4A0AO9Xp9Nb/87MnTf/vX//v+/Z+dWh2AG4bhlpxAjMVi58+f/+Mf/v7G7Vvnz12IJeL1el3Xg1B4AyRpHb0rDTxHPRvO9UOh9zny5kOrbw9OMy9u66z+yLGfWhhtVr35LwLO3n2PqB+XOMsc5Rkdo97d7OVUNIs/DROKYZTr+z7LmBQAQEAVzKK29+naQkYVASAid2QiGoxNTPxfg4MDAwO1Wg0fPlxaWkJEwzCEELu729/8+T+eP3/+Tyt/rPxD+fZdc2BgQCY4u2fOpMmQkSNcAICDjDHZcgru62UGP3stkuzmRgnvkfew/Weke/yaVRnYH//8YhHPUVpwZd/1byPnJtO671xElezxTBZHAWq2F+GmFnp7RlA9enDjhrgQwot7RS+5DzlyIYSsT2SAAEDBBXKsVqvLS0uPfn34r//zX5799pvj1AVDAcgQHCEYY2bM+vjqR//4j/9449bNkZEx02Q2d5StFAheHQdDXkrjMrRMNF+1iDMsofhnkgr3Z9p9c/yjO6GiG4h3k3aihPTPrUcZzdY5ejRrMGaWaesgAKLvbI7Si3Nn78VGhI5UahhwQBDM7QQDgOMmDsHlq1dGRka6enqr1epvv/2Wz+cdx5ESz+rq2r/88/969uzZ9ubW72w79tFHXV1dnHOOwpDhKcqEMXAE1+viCwRHcE+xYp6JE1pHW/WHuRtbo0Ukgdc+C4GMsf2eJgstZ4FBQdS27TzZJv0W5EKwZr1ZhXa9zb49AIgIggOAACa0ICO1N8HloIgJIVAemqEQwgEG6A67mGDgACIUS5Wl+YUHP/38L//z/zc9PSWEA4ZbAxVRCCbS6dSNm9f/8Ic/XL92Y2hkGBjaDkd0g1Xd10jrIOnzhzaqVrUse3dA9GcntM/7jmo/9Eb+vdGJ3jLS36jaVvQtdxHAUWarGQwEIGMmQ4yZly9f/v/+n//nwNDQ999///z583y+4DiOZRk1u762tvb9t99tb29PTU3duHH94+vX+vr6OOeO4yiRAv3auToHXQsXQnipEG7nNaxGh9X600cIoXfFJAAQMaYSQWuoRLGAUwK02H7P59DwAKumyu/U9R0FPY8HBNpszcEiJR7unbfalssYIsMEgJhhAsDKcv7ly5e/PXn67MnTqVcvSrt7jDE0DQFCRhINDAzcuHHjzt1bN+/cHhkZiSXiiAxR98mrSmzeybfn1/VksbMPb9Yna2YzyNNLnApvq8egpZs1D1xVS5ABSu3ANFOWef3GDZvzkZGRv/3tb69ev15fXwcA0zTr1XphJf/Xv/51c3Nzenr65s2b165dy+Z6hRDSyoDn1xXygxw/IAohWMh8+PzSwhXgA18dI8o6HLRYWzsuXHm+LdY8aB89tGHj30jHLyI6riyEgnO3ZGjDGgY3QRQMmWGgELAwt/Ti5bNnT3979uTpm+npYnHXMAxkJgBU6zXO+ejo6M2bN+/du3fjxo3+/v5YzOQgvCKyqKogRZy851L7MNtb/ao/zDtAnGXcnqfnajjKK6p6lXqYT3jgYDBmGNjV1fnpp59alvHdd9/9/PPP09PTm5ubiGgYVr1eX5ib/7f/50/Ly8u37ty+cf2TS1cuZzJp27Y5B+Fw0I2a0LriWuiiujrN/Cl3cuDyg6OYQLRUYGHrOxBe6M7X5v9G820HF0auIISIkvGCmkWkXQBtIBP5bYurUOq2itJqjLa0dQJnrqyhG0mE6DgwPfXm5cuXzx4/ef7s6dzcTKlUMgxD+hRqtZpgeP78+Zs3b37xxRfXrl3L9fcZhsGFlIJQnz8qMCJDxMi6e+0WZidOhndIJ3pbOVD75jH6A/LRzVkVQuj6KHgxMiirIiEIDrYjAKA72/t3f//3/f2D8XjcMAy79mBrZ8cwDNM0hcCXL18uLCzMTL9ZXlwwDMNkaMVjphlT+/S0Dl9VGiFLDHi+UN1vie5kNIZqIxCF8OJTvIV6a+XFxTSuonU8SFibbwutMeWH7YT7xHsMafE+U+EaJv3xueeM6NVyAxX2iUqdEcLtUgtgXmsLshlzr1ybq9jVxW0hhKjaTqlYfPr4yXf/+dcHDx4szM8L4Vgxy3W/C2FZRiwZu3hp8o//+Ifr16/39/fH4knHEYhclgkJzzokn3Uz+UdfjNq/zTiZpvgQMQKwn9+mnberfe/xh+4ueF9op+7Ace0/fJQDHffQCVMcUbXJWsqSPirQVO+6LRCxf3DgH//rP+VyOWaajLEn1Wq5WmWMGWlDCPHixYvFxcXXr98sL67ELOMKu2rFE6ZpKmcv57ImDXO1ee7OZabHDQGAN38Ck6cpVwUAPXbVf2d0P3mLCjIt0G1Wa9qyR5rE7+y7Grjtf0RU0X4b+v9kMn9Zi2BCEF7skBTm9FQwR6uO5C3lQkDdrjsO297c+fXBgx+++/bBr78sL66YphmLxYQ3FojFYolE4vr16//tv/23q1ev9vblTNO0bVsNO7Sb6UY2hWlz/LlPXMOJuywOZzWiR33+Jby9G3AKkOU6Cq3rE+k0u88HrWhzrHiDZ+EdXfhb2kMI9PomqtYqaqE6CCg0zdrh3OGAAOPnxgeG+ju7uxKxGArxvO7U63VgwrDi1Wr1/v37MzNzMzMzm4X1eNwaGxtDg5mmiYiyypKHGzfkHp37wlC9UYwbOS575uHee/jClX7k7YiH3Bygtt335ii1Rdt5cDV1Pvo5+1cKHEs1/qhFLPquK+wQaoeA392LzPLyLdCdbQkEC12Imu/MNfyOAMdxOODaauGXn3/8+YcfH/76a6GQN03TisfAdSmBlYh3dHTcvn37n/7r/+fSpUu9vb2IKE2M2nXAW68fFbWaRI1xzVHb29YVxMK9EX15ZM/kOBPezz7vkE50Rgm9/frnaAFbdUSUcM4QxibG//jHP/b19Y0MDf3888/PX760bTsWSwBApVKZmZmp1Wqrq6vXb3zy+eefXbhwqW+g32BGrV7jtqPvFnRPJQB4M51p/zr6cgAI1I8I/m6V1fDCZdrIIFCNTrtNWzMneTO028tUzlFk0xNlM8KH1jeUTah8NEFl3bPMvsY3uEPtuKZpMoa8LtbX11+9ePnrw/uvn7988+bNWqFQr9cNAznnbiwSt0dGRu7e++zu3bvXrl/v6x+0YjEAQBSIwAPVqTGYTxfZr9VXOUSn4Wwi3KxJ/t5cEfHOcrj09aOOKFRb5wn9EcYloBwh4sXLl/47Y0MDA4ODg788eDAzM8OY21mvVCoLswvf1v5ztbB048aNTz/77NKlK/39/QBQr9eFFKKCJ9CIsnRzpFD36Eb+MI9zKIWIUQpUNAF71HKdoJOz2WrQhtlq0bkXQkjLK7jnlAAAmajsv9nBHfpinYRlmQhg1+zCRuHZ098eP3zy6vmLufmZ9cKaTAABhtyRkx/j5OTkF198cefOnatXr/b0Zg3DiDw3F4YRf564vnOGIPtCnHFcHRkAwFdAo/Wb26zvFFjYuucMWoQRIsQS8Y8//jgdT/T39//tx5/v378/tzBrmqaBDAD29vZePHtZKZVn597cun377t27ExMTnd1dKKBarQst/hS8KEt95AINpcO3XLuQRiSRvhX6Z+QMXE6zuxTZbiOiSlnQ1ZzwXVJH1FfQ99lMJWl2n8MxnvsOkcKnBI176KbwydgiuVJok8YSy2KIUKnYq/n8k0ePnzx+OPXi5fzC7MbGmuM4zDSQcyGE4zhm3Lxy5crnn39++86dS5cudfV0M2Yo7c/duYxjaP6mqc+NLJmzFU70wdWpeId0ouNV75o96eM5ilcFxq1zDODNuKHX+kEuA4wE5zVHpDtSH1+/ls1me3t6DMPYK5XW19e5bRtGjHPYLe69evXq9evXr169qlWqtUq9Xq9ns90AwExLKQJufq8vUoZxLtSvVGu/HAD05uhh0jegjStk/zXQFCrNW/Mb+1V8b011maqCD6jZlLX1fXMWBG8ieml6UQ/Fa+xAf5TKcgRWA3/T3Ax3Ihn5WUv0AGjkSUvd3asdCFKUlyIORzA8xwvn3AADAZyaU7XtzfWN6enpv/7nX/76zX8UCgVuO2gwK24CyKpvLJGIpdPpa9eu/fF/+6ePrn2cznRYlmXbNgKy0FAQBXNrKylj0zhxVfUNg22rP74UzkrL206Mj/7O6CvovYR2agcQ7zqto07aqSJxyCie5pszvyeqncoF0d9ik8+Re0ZEkPUXtLgPXRh269MhAECdA3LR1dV1+/btbHd3JpPhyCvVUnGnyDmXYsFOcW/71fbL1y+npqbK5XKtVnOcq1093eAmdjXOWSBzRMQ16HXuvB9mxLOQjeW+d8NPs+ceuR++33viAxGF8KU/NFcHmN9mBY6rNoxo04KKkjdBXaMENUasBl5gVmOcgNo3iEKIarVmV2trhcLU1NR//L///uPf/ra5uWnbNmMslrCkPTQMI5ZIdHd337x58x//6z9duHAhlUoxxhzHCV+s+y6pzrryODUZW+pxQwewKY3B3bFwbP3DA2pDzWKo31b8O3FQDhdlfJqRRE2Opf1OhS+6cH+aiUQyijGQCaF9q3m+PXEbEbkQtbojwOnv7+/tyXX19Pb09tp2rV6vFotFx3Esy+IcNjY2NjY2nj17Nj+3aNu8VqtNTEyk02kAYKYlhADwqSGcc3c2T3mN6Kk+WlyPXI7eEEiOTRAbgwuvSpF2yaHZjdUBASBgO4QITwktO9dyBRH529cvQlvuxoF64QGNu6o1rb63UT6RNnzz+6CGUfJo3J0yE4SAoMNZ5kM0NnQAoFoVpVJprZB/+fzF//unf7t///7O7oZt26YZiyXicixpGKyjI9OT6/3ss8/+23/97yNjo8lkGlDWJHIFTHko5tfaIs/WJ71pFv2wt6Gd9rl1u324eOf3hLbm43jXOMqzPKpdd1sl1Fpbt1UI6UQS7iq7jDGDQa1W21hbf/ny5f379//yl7/8ev9+qVSyOaDBGBiOU0+n0yMjQxcvXrx+/frtu7fu3r2bzeYcwR3HcRy3DmVg4gDwCbQNEQcR9bmcAXggFTl8QwJtmYpOkvvRawlHvVeB3yF3b4jwjX+ktdC+YlESjz7k2L9gh748pP37ojojGy+BWtyQcO2x8FaWOpHMNTNkC8jQMAyLMQDI59cePXzw9Mmz58+eLszNFAqFWqUKDE3TBADZm+/oSJ0/f/7rr7++fuPWhUsXu3q6DWYJhijvp+AAwOXj8i60cZJ+ly96Erzed/ddi2/lfWjWOByrl7Wd/rRvHeU/az6oa53JQn33Y6OZj/EEDtV+dlJgHR7VGzjc0ZvtIXysk/BqhPYpHOEt9+V/eZ+FcBPUHIFMgGEgAlRK5fzq8m+//fbLL7988+dvfvvtt6pbI98AAMepZzKZ4eHhixcvfnz9o88+++z27dvd3d0CGefctm155Ea/XOujQ5Q72vP96u0q83kX948KVE6I1vOmNZ57IFc6tI5+XN86epc9ZFlMCPo2gngtkggcC0KNVWA2a3Ug9aQb7l/PRvsGaYiGYRgMGcDc3MKvDx789uTpixcv5udnN9fX6/Wq/F76eC3LymQyl69e/frrr6/f+OT8+fOZzm5EGaUa1cI3rVSNQis92zh5+WWL+9KcUzEximY68kF/rc3eK9KJjp8TNjGRDoCDPrtm1uEk3oHofYZ/g/tJ3q0P4uovgb15ZyCgoRM1es6A3DRN4KJcLOXz+d9+++2nn37685///PLlS8dxZD1p2bp2d3eOjY1duXLl+o1rn927e+3atXgsyQG57ShtSB1ODSgQEQ0G3OddRkRw53p30x1UubrWxkIfy+jjF53wIIjzYP6UN3bwjYnUzfcuJOxTb4yb9Nvr98FH3Pw2Cccxyfmv5f7laFTeatBmQgBozM7MmGkYzGAAHF69ev340a+/PXk69eLlwsLC1ua6zeuIyJgJAPV6NRaL9fT0XLvxye9///trH38yPj6e6kgjGtpT5AARdTMiPx+vTqTdvcb9j7TRgXWiOIlqBu8A71A8Ufu06MefOG7dH6EvQSGEOyNBSKcXyOWcJpxz7jiWZQ0OD3V19QwODiMadq02Pz+/ub1dq9U4gMHMYrn06MnTubmF+fn5re0Nxtjk5GQmk0mk0qZpgq5oyP37IjBll93LIAPHyxdwWyvuTmHQaByDv9j9crjUhgDheWTClWJaSPv7qv7hc2ian7w/wkFw6w35Fks9gsvAJV/LJQ/heFNAgOvhBznRQ61W2atWi8Xis2fP/vrNX3799dHM9FStVkskEmgwlNGejCUSsa6urqHRkVu3bv3d3/9h8uIlWTKWcw4cvMfCVFxA+NygjSsN9yHOdiRRmIBYGdiDAfvzQXsD3lnaf17h58uOtZve+v0JH6v9/oTWagEAuHMzteMf9mJ61GRUXlfK63OqNQ0UAgQXKByeSMUnJiZ6unv7+wZ5nXPOV1aWisVyzbY552hYO3u7a4+ezM0tzM7O7m7vMcTx8fGu7u5kOmUZMSEEh0AnuOkVSVSmADQcFXpsqWxLjdAe9ItqBmvyUPZ5czSvQPCrQLc16hr3rU0QdK5EeDIw+it3BY4yntY/4X2jiCznvF6pV6vVvd3thw9+/etfvnn48OHM/AwAJGIxxkyB6AhhGEYykejp6Z2YmPjss7v/8A//MDI2KnfCOedybgTX86GZfvWwAiGpTap6nA1r0g4HjRnRaX/8cNBtibcIi+6XBmkRT3pEjq5UHiySqC1YqwACb3Tjer5lVoSMEbVtWzg81ZE+lz7f29ff1zdQq9kmY/l8fnt313EcRwgAUSisLy8vz87OLizO1aplIcTgwHA6nU4kUqZpyrqibt8bPW+wdDk4HBjTzoEjMq8rLMf/rlqEiNq8NYFr2f9uy828qtW6nWp9p9XMmAJ8KnwzZTk4PjpefVy4GQ/uCEIAgKfdCCEEQwcEU7bGW+7eNdsplyvVanlzY+P+Tz9/9913Tx4+WlyaZ4xZlsWYIeU8xli6M9Pb2zt5/uKXX/zuH/7wx76+fsfhoIaT/lkmAvcw8nPQ2wTAjucNb0cVOoBl/3B4L+OJwhx0vHFUAkpN8NuwTu9mM8lWyRBClEql/PLKq1cv/vLnP3/7/fczMzNbO7uWZRmGYdu2yYx0OpnNZkfHhm/fufPVV19du/bJ8OgIAlZrVTmFrn7EwK9RNp3IXBXZnxEWEWcEABCqGBfYSqOZb601LNyq6uMH2SRpyr1cqMcucU3dB22diMYdGxlqHBoh8KFtGzqRLyFZ4oBAlPkDMjoVTWSWZdRq9uLCwm+//fbTDz9OTb0s5PObm5vFYhEAZDUQAKjW67FY7MLF89evX//iiy8uX/mov38wnU4L7/RACnnKIro+E+1bbBI8LOeMkJ/d64r+vC8n7Ow9eu+52R4oF+CUOC1nr6J1jFizeIHwmkc5n4OOFVsc0Tf8aK4TtTquAK7q2aBgqsFAdwbGoCViIBAN4fCdnb2lpYVnT5/++7//+88//7iwtFIul+PxOAfBbWEYRiqVyma7J8bGbt65+dm9ezdv3hwZGQOAumNz7qsO5p+8liuPqOxxhn+DYduhW5xAPnLA7vhp5qdtHdMa9i7sg/DlYHBoUlW01eBKy8iDUDyRthwAgAnmRBSEEowx0zQMgHK5OjMz9+TR419+/nHm9fRqPr+1vV2qlhDRMgwOgIiVWjWT7rh8+fLNm7fv3bt36dKFXH9fMpkUbg6CJy+GdCJ9ZuLISzhGTjee6CgcLp6R7M5ROcWQVdgvMii8vJ2tDhAr3QbRbeCBPaP7ESFtRx4XuRACBRNCuHP4CC4bc85hd3tnYWHhyZNHf/rTn3799dfFxcVKpRJPJoCj4zixmJnJZHJ92XPnzn3+xReff/7llStXstmscHi9XndkfBBqyUpSvdJ6wuCNmLSzctsxf1ROY2ijCTRyzXC8zz7oxiUUT6TdmaaRpyo81mcHW1ThCIeG7Ttsdx0hUicSjd6F/q00MdLPzT2/BSJalmkA7O6W30xPPXz48MEv9+dnZldXV7d3NiuVCvMQQtRqta6enitXrty+ffvevXvnL0xme/sSibhwq+GhUMH/WjyR93SCnNCPukkDoi+klnkfTi2e6HDxWu+qrdX9hM18hu6L2mjvwBECAYTjMMZS6fSFyxeGhoZjOZKpAABfUElEQVQQDWAsnU7PzMzs7u7WajXLYI5wtna2NzY2pqen1wobtZq9u1v8+OOPc7lsIpGw4jFkqKtFXpKtbI+k2g1CCBAC0dD71n7pNuBpaSdwQxGp0bZw+HMIdp0bzkv/nDLRbbqyFoFBQmTroz2RRhvqU/dcv4TbojVp1wSAAATGEEBw7hQr9XK5nF9Zefn8xYMHD3747vuV/JIQDmOmYRjeTngsFuvs6RwcHLx54/btu3c+/fTTgYEBzsF2AgW5GYDXkDcO6s0F0LJVbRY99PZ63wdV7o++//BR3o3Wg4iyF+1rRgdd56RpcS1c/22j2xY13lLhW66v6dsKfb1MoVczlXPWcKloy8+IgjsGY109nd3Za4ODgzbnhmV1Pn08t7hQ3CsL2zZNJgTs7u6ur69PT8+srq2VSqVyuXztWjGbzSbTiVgsZhhmIHb10PckHLLq13H2tTvh37jcYdMcMWzM59Bsb77o1OaHawsUgF6vHbR4Iokj9TvB1K4DIpEhzxeEXauX94qlvfLCwsLzZ89+/PHHX378YWNzDQAYY4ZpIiIHxhjEYrHeXM/4yPjN27fv3Llz97NPOzu7OBecOwKBtfxF+JwMamFz38O7iP/XdIi+Jd/PspDdeReJtBdtmo/W45TjH7/ofgXXsejzNxwd3RkQ3p878kdALrMivOwEaXGYwbqzPdlcT29fzrZ5IpF48uTJ0tJSqVSyuW2arF6vF9bXlvMrr6dndvdKlUptd3f34sWLXV2ZRCJhmjFE5NwWIAAYByEzy4DLOCY3NyJQ68e9M7KUkXfKaowTPRLBsGivfQUQqIzRsgls9nyb9UPa92NxL7AmKvIglGWmlqM2t5K+srRBiAhCAIAhE8MF1mv10u5ecW9vbmb26dOnP/7446/3f97Z2UFENAzDsqQCBAYk4oncQO7cxOTdu3fvfnbv1q1bqVSi7rqQBABwYTPGIOTw8J2M9pcvdDW05DjQH9xBe4bvkv5w7JxaPNHb1YlOL54oEHiiurx+DQIAfOXDdPVXtkqyKDJ3nOLu3uLi/IMHD3744YdvvvlmdnbWMAxgiIhylJFIJLq6usYmxj/66KOvv/7dl19+2dfXZ1oWd5x6ve5Ws4eGTgReDq3UwtELG1V3AD1UT1qTkBSu08CN6pRqsduhb3UPvShQ3zMN6fEQ2I+/CpLQt9XvbcBnG6DZqx7d7DLhnpg+XbF/Exm3byDGY3EBYnd7Z3Z2/ocffnj6+MmbN2/W8qul8l61WpYeDxXBZBjY3Zv94osv7t27d/HSlaGhoc7O7lgsxoUQWqRs445pOpFbAa65TqTqEx0Lx+rsPYl2luKG3jIn5uxtpq20/7n13o5yVgeNJ9JpphPJmI6gHiTRezf6ksDRtXY1uIXUicBtYgAanj3Dtu2drc3Z2dlffvrp+++///b771dWVuLxuLQO0nwkErFsNjs0PHD5ykd///d/f+/ep0MjwwazBAg5G5qKJ5KtF3gBOIiyJoXuh9CuImRWvH5tuLiy777p1gpaOVeb2hTUqkiE15H2KDI6VZ1nkyNGo9dykrdU9Y+FEBxACGFAI3LWrV0NArgwkTHGLMsAIdbXN6empv72/Y/PfvttdnZ2o7BaKu85nncBvPIfjLHBof7f/e53n336+eTk5ODwUDqdtqw451wg9x6R9IUwRBQcUesD6DcftWQ31XdXF3/03/nbiic6uE6k1lFJIqQEnQanG08kaR071loDOpxtOkw8UdRY+jh1onCES1iPUCMXBQrgnHtRPwwRa7Xa9vb2m9fTv/z0w7fff//dd99tbGzEYjHp8hRCMGamUqlcLnfu3PiNGzf+8Ie/v379end3ljFWq1U4517eQLB2T8CJq4JEvLGJsi9u6JA/alXom2j71GJdo3WiyOgtqanp9YZa92HCL3bDgkcNZNw4XHXbmw12hDeOAGjkQ+hjCuWJUTVVEdEw0TRMzqFQKLx4/vyH7//28tnz+fn59Y1CqVTinKvcP1nVyLTY+Pj4119/ffPWncnJi/39/el02jAMrp8MNmJU9UwI7VajenOkc0t9fYw6kXZ/Gv0i5bMHgPZ+fR/0mOKU6xPxJje6dQ+bhz63Y9HfDoE+FkTFE/kUIn+XHhGFG/WDXAjGWE9vd1dPZyKVTKfTBuKvjx4tLy9vb287jmMLzhjb3d3d3NwurK/l8/l6rVIulycnLw4NDXR3d6fSCcMNAeVyCl7wC1joNtNuTDvnHFH+0sMu3MA9Zz7Hb9SkABruFblX73kA/FtExhz58OxE0z56yBe9P7qfoWHtEF0JVdVIQu7JM1wIgQwZYyaajuPUKtWNtfWNja2lhcUXL1789NNPL1++XFtbq9er8XjctBgXcmYbkUrEuru7cwP9586d++rL39+6c7u/vz+ZTNYd2+Z1hGBNO2QNb4Ce2eF+lrYTBWhvVCMCS/7Z/o14J2ntvSHeRdrXdMJ2IbxC67HcQf0HrXv87XuotJ5u6LtmzsqQWhS+Om9uzVDflwEKLgSC0DQLIQRybppmrr+vuzubjCWTiTQaxrNnzwqFQrFYtG2bMeQgdot7W1tby8vLy0t5p24Xd/cuXLo4PDzY1dOdSqUsKy6E4I6XMSdcyyIJdE/9dyCsHEnZJNwRbzpaa+Zj0M8BALzZM/Wzkq7Oo+SGtNt3VJbFc9uoL5iM71U44ACClG9MBGYaTs0plUrFvZ1CfnV+fvG3357/+OPfXr9+vbW15ThOIhFjjCEiF4KBk0qnuru7BwYGLly8+Lvf//7GjVvZbDYWi8lpLtzid6AKVTMAAC4QomdvAAAIO1HCVwcA77+tId4nIn+5gRaV77c8cp/tHBe0o4f33G7vpdkv7vh+iW2ficxsQg7SJ2Ew8No6x3Fi8fjgYH93Z1cymYwn04yZUy+fr66tyanQAIFze319fX19fXUlv15Y47azub41Pj7e39/f2Z2JxU1EJoQQtiy9rA9hAndPCSK651jd88AQQ46GMEoq8sfgNCbbaawQ2MSTb5zQACS6BxI1SNHtUUQIbSDmQE2iE14N/H6IQDiIiiGSEUIoHMexK7v17e3tQqEwOzv79PGjn376aX5mfnNzUzARj8cZM2Vsl2EYmc50X7Y3N9D/0UcfffW7r69evZrN5kyT1euO4ziBakTKJ4ECAlPuRCK8t/dkrMnhYmJOL0LwzHJG4okOquycnE50Ik89EJ+vtzL63AEq/FEIwYEhFwDAEDk4Tt3e3d5ZWVl58ODB//gf/+Phw4cbGxs1uxqLJdDNHgPLslKJZF9f39WPP/rss89+//uvrly9FLMSAKAFFgGXgemevzTgv/VUY5XDpcRXnwquidlyHkpd2w5rRo1flL8Z1fUjX4ULzTeu7yF8Y9tqT8KhQOqznp8cmJm4oRPJHDQufaru9VqWxRirlMr5fP6XX3558Muvz58/l1G19XrdcRwAzhiT0UCOLRDx3Pjo9evXP/383q3bt3t7+5LJpNyJr06ErjOGIon8N8qnEwXu+bH03c98PNFp7p+I4AScvc0sRWsfr87h4oxa035vvp1za7a+1o8EgKjfr7acB9pk8GtA4WN7k4BpHmDe8BDUq7Wtra2FhYW//e27f/7nf37x4sXe3h7n3JKh5kIgomXFk8lkX1/vpUuXbt6+9V/+y9dXr17tyGQQmOM4QghlZfT5jN1yeIiAXPo2db+u/raEc8GENn+Nn9bWIfieaDckPDiUC1WoiH4a0ose9GN7N6RhO8K0CF9F9FId/MMPIQRH1y9tAFoxAwBKxcr83NzPP/7w4MHDFy9e5POFSqVUq9VkjVXG3BtoOzXLss6dO3fjxo2vvvrq+ief9PT0JBIp12/v2VMOjn4/0YtKDpoPr/idryJe6FqaaZrt8w7GE8nPFE90SpxMPFH4ibewL83c2y1oZoPC67Q+q0hamJjjfA8bZsWvUOj+ZnVcIYRbq0gbC8g+s7tEiFqlurm5OTc39+03//kv/+ufX05NFYtFAY4VS3AOKMAwjHg8nkolhoeHb968ee/eva9+/+XI6BBDUwg3dlU/K/9YQ4+INPRRif5Zrhm4V1ogEgbnyvSK/e831mj2UFprQz40n0fTd0O7A0yzQaFdyS4Cb8xU4DsHIQCRMWZZJhfO7vbO3NzCDz/88OjRo1evXq2t5qvVql21bcEFcsYYAwNR1Ox6Opm6dPnCzZs3v/zyy8tXrnR2didSSZNZyqa4tgClQOQAANNithrRQ+olkc73UE3VY6RlA3IaXqL3gFOLJ2Jtt2779/miOK4YoqO8N9GEW1tvuQPg5hrI1QTIHiQAIhMcGAiODucMWTKZTCSS2Wwuleqo152+vr5Xr14tLi6ura1xxwbGHEfYtr21tZMvrO3uFou7e3u723Ozs8PDg7lcrqc3m0wm3dqothBCAJMeSD1bVcZYGnqTKkUl0ZiJXHWgUY+Q1M2D9guMuEXeHWg8r3CU037tqe99CHmedTgAAEfpoG0IQAgop04A4IBymATgNXJu1Tf5dLg37QIiE4wxREsIYdfqq+sbq6tr+eWVmZmZx48fP3v2bH5+fmdnx4rHYjHTMAwU4DiOyVgqlerp6RkaGrpy8dK1a9eu37g1efECY8zmjqyQLbjrGvB1XlHq/gKiRSJwXxmUyQMQmLH47Hl3D9+ehu2Hv5dPvE+0EyPWTi/8oPvUCe+t9biifcJbRZ9/G75iZVJZox/v74cFuvXoqd6NlhAAEB2nzhhLdSRTqaQMP+F1PjI48nr61crKytbWlsO5YRhCYLVa393aXVtb29ra2t7eLhdLs2/mRsaGBwcGerLZdDptWSYASM0IwM13E4CAMqbS11/3xudunH+z/pweJar0Gn/utlrCo7rNrJFALQ8UfWvDIpHvZkZ5NcJ74gAgUM5KAY3z9NLNpA+cc4HysQtHrcMYAyEsZjDGHMepVSqF1Z3V1dXFxcXpqdcPHz588eLF4uJiqVSKJeIx0zIMgwlwHMeKGZlUurd3bHhs9PLlyx99/PHt23fHxsYAwHGkOeXq3HT1R16tfvaBoRAKUIVPgvekyeezSdhe6ApXO3MLhuOpmywn3gnaiQzVVziof6LFOty/WgvPwb5mqx07dUCiBustO+TuOcjmEAFBr83KZPdWAICBLJ1JpTpSPb1ZxpgDYvjxwzdv3sj0CCEQEG3brtZrq2uFwvpGsVje2dnb3Fq/fPlyf39/by7X3dMZi8UEMM657L0DcCFANqYMmNfQgeywB0QrCMqL+t3TV/NfrFAlkFqNMkJhRNCev0qNkliLNWVMkPzYOC/k2tSmDX+2uz6XbZoBwpW6hMMREQ2Umg7nvFwuLi9t5vOFpYXFqamphw8fvnr1anl5uVIrJxIJk1mGYQgAzrllmZlMZy6XGxsfuXrl42vXrt28ebN/cIBzEEI4nHM1Faab1yxAAMoAIgGB6fMEAujlyb3bf1btyEF7j+8hpzzfWfsqjE64/T16RFJrjk0nanF7fRlPWi9f7V3GswhNxxZC2LZdrVZn38x8//2333777ffff79eKDA5ixZDAAaCWSaLx+PxuDU8Mnj37t179z799NNPR8ZGTSMGAPW6I4Tgrtbrn+mMCRCMMYZoIBqaDYhsXqVOFA7aNLSrMzW72EwNbEep1T3Dniu8of0H8alRHANrebMAuJ/9m/jaXBXn5TrBDcNkRrVaXV9ff/To0Y9/++nx48czMzOlUsm27bpjAwBjjDFgjMlqIKl0Ynh4+M6dO19//fXk5GRvb28imTYMQ4bmylwzVwxCFODOO2C6sUIc/CIRqI6+sn/anT0dJR6C78OJ055O9AGp+2eHk3H2tkkznaj1GKD9PYc5Lkt0XL6pcG/SJezy1SI0pT4uwIuRBE0ZEQLtmlMq7b189vyv337z7bffPnjwYGdvLxaLAQCAyQRw5KZpWpYRi8X6+/uvX7/+6Wd3vvrqi/FzEx0dHQiGbdtCCM4BGAp0JRFZhVSeGGMmKJ3IZy8aFxL5FikfshuPo2s+bkUMPXbVjftRVx3sawfvjH5XQbu3DTvozxvz3X9E5NxGlDVdI2KEveM11DpVb054dYVMZiBitVrN5/P3f37www8/PH36dHZ2tlaryaBgzjkzDcaYBUyAw5FnMpnxkdHPvvj8q6++OnfuXE82F4/HTdN0b4pXf9AdNTGUtg9F1IyZDAHAEcJAdM8t/AzkxTZZflBOx8Q08ysc1t/QugUgjpOTNDHtx5weVCdq57O+FYSWh78Ns38My4HROlvNoof8T6RxXQFfRcD16/a3BQoh7JpTLO4+fvz4u+/++t1f//rrr7+Wq3VVd1W2VJYRi8etVCoxeeHcvXv3Pvvss1u3b/fmehianHPHcVTsqkC5WeN8GGOuifFHErlxLk1mMIh6qRrPS68N5F+nEccUiLEK3J/wvdJq+TG/3uTzSeieEoW0Gl6UkU8nAgDB0Z0e2p2Qx6shyNA0TRRQLpeXlpZ+/PHHX366//Tp06WlpXq9btu24zgcHMMwGBiMgSM4IvZ0dZ8/f/53v//y3r17I8NjXT3dsVjMMAw3LlgOSdyLbmS9o8HUc9dvsh5DFLrhx8+R44mI065P1Az9abUfPXTQeM7jIrT/5gFzuiM08L7KdsdtPUN7d1dGjqh68wIR44lEMpWIx68Aw0ymq79/8Pnz32ZnZ9fX18vlMqJhGEa1Wi+VSjZ3tna26zVnc3Nzdnb+3Llzg4OD/QMDvb29HR0diXhCCGHbsrQpk55YWcJIuJUdGnqQELoe1EgoaEK0ZzjqKbdPeCzEhIiq9KTZJ+5O9ui1s/4V9KtwvEhOJkCAwwBBACLKOkSGgY7jVCq1wubq6kp+eXl5bm7h5cuXL168mJmZWVvfZIxZlmVZlus/sTka0NWdGR4eHh8fv3DhwsfXPvn444/7+vri8TjnYNt2wLUOAKClDYNwVapwfKZ2we4r9943cm0YEx76872/K+89+7pVA6vtu6T9fjyElrez5/bZ18d4gH0q44NeDpG/EEDwWG5LAiiEDHwRAIbqUCKyVIeZ6oib5nUwWGd3dnh0/OXL54tL81tbW9VKWU7dWK/XK5VKtbqxtbNdrla2d3eWV1YuTE6OjIwMDAz09vZ2dnUlEgkBjHv1htwq2kIgoiM4Y8ydH8dnL6S+E75X3sV6NfUgGKLP0G08DbU3byDR2J13mMC9bcSZAri1NiSeL0FZH/DmUGuso1pmzrlAxr26SL7sP8FARex6vXkZMMoYQ4MxZI5tF4t725s7KysrS0srMzMzz58/f/ny5czM3NbWlmExy7IMwzAMg3NbCDQNM5vNDo8NT0xMXJi8dOPGjStXrmRzvaZpCgF1W/mBvPvv3UB12s2MuNGy+35Wvb6tiNQHjwAZl3edoygy7bfPh4tE0O1Ci2O1GNQcYfSr/bwDCku4V++NFPw7iPK/IqKQ8e+AzDDSGSudSXzCbpgxq7s7OzI2MTX1cmFhYXt7u1qpGFYMEcu1YmnXKQheLBZrVXttbW16enp0dHRgYGBwcLA725VMpA3L5NwLX/V7GuQsw/oJgOuNwPbUQN0KMAAQoHzPItRPQG0r33PR75tqhZTzAr1YIVX6Q7gRpgwR0bOYIP0NAW83R0+KiWrYkKscb0Q0DGSAtm2XSuW1tbX88urS0tKbN2+ePXv26tWr+fn5nb1dy7JM0zRNE9HgHDjULcMayPWPjY+cO3fu0qVLn9y4dfHixa6uHtNkjiPk7MyMMRUVy1hjIs3IF6ZxdqftayaOxBmJJ2oRP9IixvLkdKIDtrDNdaLGKs3us1YtQp+eUUWqA4CKKlLF5IUDnPNKubi+vv7999//67/+y+PHj5eWlhxHWJblbg4CEU2GlmXFTHN4ePCTWzdv37595+7dsbGx7u5uRKzZ+pwvbtC+jCcKV4XwfLk+Tb1ZfqzMjNXqUAQfccsXr207p/mTw6FFgVjHoEuEu+IRetVThUAm9TIZ4MOYjCEyDKNUKq2u5J89e/bDDz88fvx4amp6d3cXEW3uyBreaDCGgjGGAkyTJZKxCxcu/N3f/d2tW7cuXrrU1dUj3cWMMdfHq7kgAiFCAMDQ9yaoq/Np8AIacadyzf3v18E4I/FEYfxXHen/p678aXDyzl44eC9Z56A+3ta+330P1P76kceCJkuasc+aQhNTdIHAv4Lnh9CqsCEA55zbzt7e3vLy8l/+8pc//dv/evHixVphAxFNM6Y2R0M6b5lpmkMDg5evXLxz586dO3cuXbrUPzDAmOkITwbijndExgxLCMFQOU6VZL+v7WZaXzzgeGjEKwWuPbQfFukqD2vxUfWegvuMjB4K3GGVy6wfEVWtJsMwDGNvd3dpceXRo0c//fTTo0dP3rx5U6lUOAjhgJykDKRVZgyAW4aZTCavXbv2d//l97du3boweamjo4ODkD5eZV9UrKXub0BEFtXxa3h6talnwj/v4236T9PEtBeXSpwtTsbEtB8R1r5voP24pNbHCmoNxxe1ehiaRRXpZ6JHvrgfomrkCSGUfZHf1uv1crG0sLDwpz/933/+85/lDDDMtCzDFEKYyORcPabJTNNMJBKTF87dvnH7zmd3bty40T8wkE6nhcC6Y8vW3g2BFEKaJLcl9A6tRjRRL48bMaQ++6J+fMpXu3Fn4dgi5caBhq3x3b3GtsjkcfX7KTu1DSe35t1RMaphdYYxhoIbhoGIOzt7CwsLDx48uP/zgydPnszNzVXrNTmPvbwvrDFI4YZhZDKZ27dufP311zdu3Dh37lw8kUJEqb6Bp0CB6oFrc3DrYxYWalkFHvO8zK2heKKjc0biiXSO0oK3o9+3ozcdqE2P7GKEj4Lav9qLq6Vu6jHzIAQDN7oemQAh1OyGQgjDMGMxM5GMpTMdjuDxePzKlSuvX7169erV3MJCqVRyBDcMizFWrfNiscw5L5bLlZpdWF1/+WJqZHRIMjA4nM1mOzrTsVgMgMl4Ti2GUzv7xu9KfWByikQZ2a6tGzmXMIuIiIm4V+FoIw7+kYDEi9V3n50QQt1UVFkJmn/YF2vKBQLIYYpycTMAZqBhxJjsMCNWK5X1wub6+vrq6urycn5xbv7N3Oz09PT84sLa2prjOLFYzDBNORkkOnVHiFQiOTgkBfjxS1cuX73y8fj4eH//oGEYTt123I6qr5FkjLm1sb3gUlkQSl2LbFUjeuwY+fEdow2JNWJNNf7Rvm/dSyPeOcLdZUWgrQ40Gs0igA76WZ1G5PIWpwT7WZzWy9t/e4Nr6n16d4muKstGUev1ukH+MgrS7csKuTIzjHjcSqQS0sRkMpkXL569evVqenp6ZWWlWq0KgaZpCo62bdu27Tj1SqVSrla2NnfevHkzOjo6MjIyMjw2MDSYzXZnMplEIgW+VkyeiOzsRjRvnhEJxl36e+3Bhx4140yLcR0CBPvWup1SMxsoD7Ae7SsCtX78Z+juzf3XQUQENAzDkH5XAAAol0rra5uFQqFQKCwuLs7MzM3Mzb5582ZxYXljY0MIYcVjlskMZsg4VWGzjo6O4eHBsfGRycnJy5cvX73y8fi5iZ6eHsaYTPeTd0wAeN0H1+0gtSF0b3bopBkCeDZIv5bQXXt3CV9L1NWRBfkQaNaqt26TD6rgN1ve5riGR52nbuwO4c84ErqgodeGC0dZyqJ0etatlBU4E0IIJpgAMA0jFrPS6WQ8GavZf+jpzb18/mJqampq6uXq6mqtVq8DGIbBOa/WueM4ANs1u14u1ZdWVh4/fjw8PDw4ODg0NNTX39/V051Op03TRESvOp6U5r3zZCgwcvThnZ5M0mrMV9CIcuUhGxS1B+nrjbxjzMsaYWqhfibcKy2KwvU6QCjRTAjB9NAkmT3nmSd5/2UVWdMwGGOGF7Gzt7e3trq+tra2urq6uLg8Oz/35s2bmZmZxcXFrc0dZhpulCpjgnMHwHGczs6O4eHBifHxCxcuXLn68ZUrV0ZHR7u7uwGgXq8Lz1UjZSHwfA9yNAWqU4HoVqfWkjlUD+RtO5qJg3EG44ma6UTHpaAfJS4pvJ9m6wT3pmaFl3+FvnVjGlUD5y7HRtdf1jwGGaoj3NRT+SN0HGd1Jf/y+W///u///h/ffLOyslIsl2Swod6yICKi4Jxns9lz4+PXb17/9O49OcNxOtNhWXFZQdNApiJc3BxX4K5c7C4XnHO9oqeaFk2mH0feH69aZGvbHPlu+HQir48OEKkBhRzmKBii8FkszUuseww0Y8AF5xsbGy+ev/rtt98eP3766tWrhYWFUqnk1hWStwJR3iJENA1kgLlc7ubNm5/du/v555+NjI0azGKmJZtLLxorKpKICYjS3VXzCn4fr+9i3W9PhFNw9h5OJ/Ignegtc5LxRNDkaapYkkDst/7tsdC+9Qmf50lYriZ4P4xGNLsXdSiEENiIJ4rM0gWvIXIECiHkFItuwygczxFq1Krl+fn5R49+/dOf/vTzzz9vbGzUarbb9QfdxAgpvGTS6cHBwU9u3rxz586Fi+dHRkf7+gbS6bTbpvnjayCktij5HkKvEwom3JoLjm9k4qs2Hc6M3ieUVd29puejeYD9PuHGarKag+5T5Upl8vrNrtdVCNu28yuFZ8+ePX369PHjp1NTU4vLS5VKxTAM1z/MpH0BhsgYGIZhIBseHr595+a9e/c+//zzvv5+GY2EPgwhnEbfXe/H67cRUR+K6L7fE7UpAU4znqg9yIKcLU7SxLTIYwjQjhbTvl7TzqihddRSeJ2Djl8Oht7rlvisiVdrNfCwIqp/AjhCoBzLaCMFRKNcLi/MzT98+PBf//VfHjx4sLm5XavV3GZKGwfJQY1lGX39vRfPT965c+fajU/OnT8/MDCQTKdM05TtrZzKXdYJxUZdtmCahLfbYOyP5ngQ4J9VLbQkeIF+fzYL3iuf1XAjUr3iTdGNobQ+ulFrtNteeJH80xvkuQKNXasvLS09e/bsyZMnT58+m5qaWlnN1+t1ZMy17PLuynQIFIZhmSYbGxu5e/fuF59//umnn/Zkc2qM4x5di9JSkUTQZPyiPpymTQlA8URH5wzGE+nwlo/wKBH7B/X3HjQLILg+NqTfCLweGwushgJAeGoRClmrCNGbPgYQES3TTCRiQyPDlmXFk+nJi5enpl6+fv361atXKysr9XodAEwzhoiO4LJQWc2uV6vVnb29udmFXC7X09OTy+X6+nv7BwZyuZxc0tHRGThXLribJSdQnar3e5PDEm1dNd9LoE0J7NLTxcItoLo3XsfV8VaQM5E1YkT1lpd7vWI3xlPIo4BXz4IhuJm0KsYSAQXntUp1c2NzdU06dwv5fH51dTWfL+Tz+eWl/Nra2u7uLufcipuGYbhVQrltO45lWX19faMjQxcuXJicnDx//vy5c+dGRsc6M51yOgAZ2IlyQggG6FlcRJD+W4iq6KaLRKoJDre277ou396cxHLNZjQbnxPvOi3i7Vl70fhH7we09m1A6NvW+QiHO1Y0XryNu2fZkIBUwBsuSuZb2zuK8gYLLxSTgfzQCM4XYAAAQ7QsFounxybG4/F4V1fPJ5/cnJqamnk9/fL11Pp6gXMOzG0ShRB2ndtOrVyuliqVWq22vLyc7e3u7u7O9fZns9lsNtvTm+3q6e7t7c3lcqlkAjXNxTtTAUIvyum/ajWrCzKlgwAoZ6br3xZCeDMqtK6mJzeV3oJW99/vP28sUfqREIIBE1y4uV2ueXGfPue8Ui6r6KFCobCyml9dXVtZWVlZWVleym9sbOzu7gKAFY+ZpmkYBgIHAbWqnYzH+vv6xsfHJycnJycnz09Onjt3bmBwOJlKcWEL4Q7TZLEKWS0C3fLVBgAgcME5RybTotUNkTUvXFVR9760vlnvOWRBPmSO0la376JoR9M56JJmWRHNttXXafed90VZ6s2Ea2U4oi+LStepgQsp1hiIMhLTs0gGIsZjZixmGRMTlmVlujpv3r7z+tXU1NTU69evNjc35bTLzDSEEDUHbKeGAur1erVU3draev78eU9PT29vb29/Xy6XzfX39fX15Xr7u3q6LdNSVydAuEWS3BbSUNqTNwKLHJ2x0J/N1gxuIrxZwITmpVZmW8Z+good0BwVeiY4ALizgwlfHKgUbkxmSV8CADhOvVwur61trK0WCoXC6uraWn51eTWfz+eXVpZXllc3NjaKxSJjzIrHDAMMwxDC4Vxwx0mlEkNDA+fGz09eOHd+cvL8+fPnz1/oHxiKxWK2bQNrVEHRPNZeOrOQMbla5rLwiUSNa3T3cHag1r4tzng8EbRc3o7i3s45HM4DcBiVSmuYotN3w58Dfk5Zq0itIIRATW0xmVEul1+8ePbLL7988x//8fjx4+3d3Wq1KscDjmjE2DNAzm3gHAAsy+obGBifGL18+bIUO0bHxgYGhjKZjEAwkKmalyrUSOHXd5iUfhCFPi9M82669P36GhTdk9xiK/0+u9l5onGvGsJK4175YrU4COBukJFweLVa3d7cmpube/Hq5dTU9NTU1OvXr1dXV2WVJamge+WKpI+XmQbKMNeOjo7Lly/eunnzq6++uHLlo46ODsM0dZ+DUuL1NtQXhxklEjXW14I0T7mdPRVn71FG8uQNeMuccDxRmBZ938g4o6O8Ia0j1A6aNdaOL/pgeK2B5r0E5pULjfDvgdcSNs6J+/RodwXhcwuj/pS5MAxjZ2fn0aNHv/z40zfffPPy9ctSqVR3uBBCRry6Nk6qUVwIJmynxhjLdHT19Q2Mj4+OTYxPTEyMn5s4f/78wEBfZ0eXZVlCCLfAAbhpWc1yBNzzDM9ZyYXaVo0EwG9zwffGNiKtAkua3LemZwIAsvqSfzY0L5RICOHwYrG4vr4+PT09/Wr6xdSrqenX09PTGxsbXLgGhUnXi5KXGJiGYZqMgdHT0/XRx1du37751Ve/n5ycTKZSpmk6ouENduNqdU81ayz3vCkM/ZWJwvUjTr8ff/biiYizxenGE0F7w4Fm2x4a1sZx2zxW5H6OqhP5noJf+wClB7WMKtL751IHCQxkmJfGiwZbX19/+vjJDz/88Je//PnNmzflcrVer0u1wqtw5Jl7Lqs9O+lkamhkeOzcxKVLFy5cvHz+/PnR0dH+/v5EIiF9Bl64pfA65JGxqKp0neDCBsHCq/mMo7dEj83U75j+orYyIrpIJASE5i9TXnDfTrgAYJxzAO44TqVUXltbe/369avX01MvX01NTU1Pz2xvb8uAAmkZ3cggwzUxhomWEUMUfX29165d+/Tu3S+++GJ8YiIejxuG5Q5/AJRpBnA1QXn/lRcEANwb5c46Grix3qZyYbO7cDKceh/1PeSUdaJmHCVZoLXi046+0+b5HINJ8GdIBXfY7FnIUqC+FoejEILLGWq8ynCy3psQYmNjY2VlZX52YXp6+vXrV1NTU69evVpdXa07NgCT6gYA2Lbt1G3HcRBFR2ems7Ozp6enp6ens7Ozp6s7m8329vbm+nv7crlcX19fX18ul5P1mPVfu/qsusRqxuImP8VQPpqvPQ1qguFIV6F5PnVLox8RfTTGD3L/tl3b2traWNvMF9yIodXV1UKhsLm5vrG1ubG+tbm5vbm5WS6XEVFGDxmGgaaBiExwzrnBIJfLTYyNX7h4/sLFi+Pj46Ojo6Ojoz09vbKOuCwVIaNeZdOpCoLobWigCobSlbRrVtFYb4G3oxM1MSZnzxdBnJwNPoq3thnt+4pbr996PyesE7X9M4jstobOJNgOu7GrggEARxBCMK+apmEYCGAY6DiiUCgsLy7Nzs7OzMxMTUnH7+uNrU1Z3s40TQYo4yhl9SI0wLLiqVSqq6urs7Ozu7u7s7Oju7u7p6entyfb25fr6+vt7+/v6+vr6+vLZLrUhQI0YqNkL1n3UbtOTq2KZ7i/3qhP0ZibuVFNQ9eYZKRSQHPhnOvbuqckI4YYoDd/fMB+2fX6+vr6WmEjn8/n84WVlZVCoVBY29jc3Nza3NzY2Nja3l7f3KhWq4wxwzCYZZrIvJgsR3BummZ/f25iYuzyxSsXL02OT0yMjo6OjIx1dXUZhgEAjuPo5ymvMfJzYKziSWn+HoW8V3DakE5EtOYkTcy+ClE78k14k8hdHWIn0KytPgjt61kHjGb11XTjAAAcAyt4SrRQPlq32oO3pu4OBwBD1nAwWbVaXy+sLS0tzczMvHnzRqZHTE9Pb29v29wBAMuy0E2tqtq2zTmPmWY6k+nq6urOdvX09HZ1dXV3d/dmu3O5XF9fb1/fQC6X6+/v7+3tTaZSWpARgDaWESDn5XSETF+QmogWl6q09cZIR+7Bbx0CS9RdEkIwNxMiqA0FboV/CIMM9JQ5BgCVSmlrc3N9bXNlZUWOYvKF1bW1tc3NzY3N7c31jc3Nza2t7Xq9jgYzDCZHMdJ2ABcOr8fj1tDQwPi585cvX7xwfnJ8fHx0dHx4eDiTych6I40S1/78BiEE8xKXIfhjdJ+ya3rc8KO3CelER4d0ombsIxUdrl91OJ0ooCIrl6/UiZg3G5q3DpdtgYHm1tbWkyeP7t+///33379+/Xpnb7dcrspi1ZxzzrlwuEDwYm2Ac8452HbNMKxkMt6Xy054jE9MnDt3rr9/sLu7OxaLacE1BhrMQGYYbhiniu7RUd13r86oF2Kjqi+5J7+/TqTuSeCm+eapQXeUwjkXwvE+g+M4tm3vbG0vLy8vLCy8fjPz+vXr6enpxYXl1bWC49TVfDGMSf8DMA3LMmKxmGmxVCJ5/vz5G59cu3fv3vVPPslms7FYTB4ioFWp05PTzyltCD3niZsmFzWLJGrRuR+QTtTsZOShj+/AxNE5AzpR+135Y9SJWuzkXdeJOKLBOQfBvOD3RkuLXndZKuCGYayurv76668///zzjz/+OL+4sLu7W61W5Vxp0ppwIZSCA9LSyLk7ORdCJJPx3p7syMjIxPlz589PTJ4/PzExMTg0kslkYrEEYwyYYIwxQMMw3BJ5fm0dAEBO+dDEeevPDlPfu6NE3VpxEAA8HJsj7a8v7ga9/AWuOtNMmlTbtuvV2sbGxuLi4uzs7PT0jAwdWl7Kb21tAaBb6sFgKAN8GJOdbhOZYaBlWbFYzDJZOp2+ePHizZuffPXllx999FFnV5dlWTKR2b0ueTM0nSt8f8CfAqA2BNKJiHeEkzEx7UQSHU7xOYpOJBulZlbvndSJEBFFI5ZfxRMFRjSCIThc+ZsRUeYuIOLi4uLDhw9//vnnn376aXFxca9UlCZGG8XYqk2TbbXjOI7jWJbVkUoPDPZNTp6bmJgYHx8/d25ybGws1zfQ2dlpMkOG1aCXK8CkJxhQCEdvZiE0W2igjdW9CBHFInzb8kYmuLI+3vRE4VfdvRsCHKcuhzNyFFOtVjfXN5aXl2dnZ1+/mZ6amp6ZmVlcWN7e3pZVNdCtquFGUblRRIbBGIvFzHgsZhjY1ZW5cuXKJzdvfPnll5cvXspkukzT5Bwcp+5NT+SHNZZ4oxjSiT4I3iGdKNxiHl25P2hmQVjmP1S+QPNyZdBoiXxnpRoRKTc0+seNmBpUZyUnaGfMrNfrm5ubhUKhkF+dm5t7/fr1y5cvX758mc/n90pFx3FM05Qtguy+K50IgJkmSyZimUy6s6Oro6MjnelIp9Ndmc7u7u7eXI+sLpHN9XhVJ3IdHR36Vem/QqnT6w2GHosUfStAqNJGyp8c1v4jl8vPjuMU93a2tra2Nne2trY2NzfX1jZkYYiNrc2dnZ3d3d2d7b3d3d3t3Z29vWKlUubI5X0zmGm5kZmNig+Msb6B3MWLFy9enLx04eLY2Njg4PDAwEA2m43H40qZ0q8iMG7Re/aB7rtAf56IcK9HRPXdT61P/7Y68eqoGLUwcjm1+m+FE7DBR4znD2SfHcVGqG2b7S3skQ5s2w6RI4EWew4iZIaXtgc9xtN/pKD/052vxNtW79E2tpV+CLeaA1ftmMEYY1Cr1dbX1wuF9Xw+Pzcz+/Lly+fPn7969WptfbNarSIywzJkN5ghCo6OsAFATncgHG5aLBlPpNPJTFdnZ2dnJt2RyWS6urqy2ax0/+b6+wYHB2WckWGaEGU7OAC6Bd+4O6eMNm9XwC4c9bMmr1Sr1d3tna2tre3t7a2tnY0N174U1te2trZ2d3d3d3e3d/a2t7d3d3dLpZJXlpVJvy4ahoFqrwKBm6Y5NDR06dKFS5cuXLhwYXR0fHBwcHBwsKenR4apup4P1LwR2oglmGnIfOs0Hr3y0GiVIyB0pafD2dOJKJf5bHGKOlE7mwS2OnqUa5jD+TN02vGXH5UoUSM465m7XNeygQMAh4aT2I1dlSlOcowjhGdfGAKWy9WN9UKhUFjOr8zOzr5+NfX8+fPXr1+tr6+XKlUlf6gYH8fT6wEgZhmpVKqzs8Mllclk3MyJ/lw2l8v15Hqzvb29vb3ZbLanp0dOyglynOUF87e2C5EE7Hd4W/fP0Mxfmu0GRKhWq7u7u9ubW5LNzc1CYV3GDWkmZmd7e3dvb6+0V6rVajJzGU2GiDHDVFFIciATj8dHR4cvX7588eLkhQsXRkZGBgcH+/sHOzs7ZaIJ51ypV43z9y5VLfTkMI6IKkLqbEI60dF5h3QiCP363pZOdFSN/xA6EXhSUUQWa0DaF4Kh4Ny9V4Y7SyJubW0/e/bs0aNHP//845s3bwqF9b29vZpdr9frjuM4XJP8XU2KC3Bkb14p9zHT6ujo6OvrGx2Tc1IODA2PDg4ODg4OZ7PZjo6OeDzuhRp5KbAy58tLcJX/MkBEQ6jrYshkUTRpM4TNAZiWo+v6H5ALIaTXggvBuTuZjKPV8rQdx3Gceq22u7u9tbW1tlqQU0Lm84Xl5eXFxcXF5aXt7W27zoUQrijEpGsXBHPnd0NEA5AxZppmPGYmEolkMp5MJs+dO3fj1ie3bt26/vG1XC4XiyUAQBokdWnBOCnN/4Ba1aGAdzqw5EPWiVrrQc2WU6v/VnjfdaJD7+0oI5AD+nXb1ol09SdSJwK/DdL78d63jXhYwTl683DJJ17Irz158uT+/fv379+fn19cW18vlcrVetW2a67hEky4sUWGzwcLDgA4Tp1zAOAx08pmswMDA2PjI2Pj58bGxkZHR4eGhnp7e1OpVDweb7hMBKDhup1lZD6iITV39AoruBP4yoncZF0MX36Za1OEEEK3L+Co5dI4Cs6FcIRAx6nbNi+Xi9vbu5vrG+vr6zJteTm/sry4srC4uLy8XCqVXGNtMMaYxUz0igUZrscVEdEyDMNgsVgskYilksmOjpSMIbp9+/ZHH30ks5iFF/+vbErYrxs5o5l7+U10IohqOUknIp3orEE6UXvr67wdnQj8NUAba3p9YDmsAAChTcSsV1xFAER0OAcAJtOKBUNEy2SMoSPE0tLSs6e/3b9//9df7y8sLGxsbJUq5Xq9Xq/Xue24YZ4AquiybLfliTmOw21HCBGPx7u6ukaGhoaHBweGh4aGhgaHhgYHB/v7+7u7sx0dHbFYrBFkpP2LnodEz+3VawnJ2XW4zC/TRmcoGHenrncYGDIqSHA3KpV7lkUOsgC44wjbtsvl8u7u9ub6VqGQLxQKa2try8v5xeWlxcXFlZWV4l7ZcRxgaJpMMIMxZmgVUTkKxpiJTOY1x+NWOpWKxWIyhujmzU/u3Llz+fLlzs5OWYdIObkD9kUSyF8Wwi2m4R4uKHadLUgnOjpnVieKbNd48zb60Pll+55VOxkxek+92flo62sVeXwSj6YpQNT7HdCJdKkouJo/Ot1grFar7ezs7OzsbK5v5PP5hdm558+fP3v5anpGFmyWkxwbyJhgKHPZVMYWaJN2WZYVj8elbpJMxhOJVDweT8YTyWRSSvadnZ2dnZ0dmVQqlUqnMsl0KpmMx+PxWCxmeZimN6WLF7bjtjiCuT1iN7iJc2E7jlOv122PWtWu1Wp2vV6pVKrVarlcLkn2ysVicXdvr1gsFovFarVarZVt267VapVKpVyqViqVcrlcLpfr9brjZU94ZgDdxF3ls3W4abFMJjM0NHD58uWLly9dunBxeHgwl+vPZrOdnZ3SloCySVE9cvUIAh/CT1z76gz1U89UJ76ZV8dDjnhZaDlxgpy6DW4nXwC0dY43a6DZcQ/6a21/w1Y2rtmvQI9C9W/R+PV4X0VYXt12CK8Kg+wBO3JmNE/gBwB3Vl1kgFirVre3t7e3d9fX1+fm5l68ePHTT788fPRoe2fTtm3ZYQW3zy0bW+TcUScj+8oA3GAsFjOTyWQymUyn08lkMpWMJ+Kp7u7ugYGh7u7OZDLJhV2pVuNWItWRlvYlmUjEE4lYLGFZlmUywzQtyzJN0zAsqWQxxpCZ7mG5sjPCcRxZp8+27Xq9btu8Xq/XarVarVatulajWCxWy5VisbhXLO8Vd0rFSrG0W6vacs1qtVqplsqVSqVULVXK5XLFtm1PqGKMMUtKaQbKu6esW8y0OjKp4eHhq1cvX758+eLFi8PDw7lctjeb7Uh3WvGYfAqcc6UHiUYZOxF4K9QgIfjcQ3FDzd+f0+ZMmRjiDPL2hnmRVqCFr7od23HsPoYDcZx9y8j6EjoBO+ItdOtOqBX0ytaBbdVWcm5iEKxSqezsbm1tbW2srS8uLs7MzD19+vTl1Iu5+fntrQ3XYcCYN3e7NorxylAAAGMQi8USiUQqkUykkvKDHKGk0+mOjg4Zc9SRSck/U8mOVCqVSMZi8XgsFpMDGdPDMCzGmOuuAAMRpX1xBAohwJHBTdxx6vV63eF1u1av1+vVmu04TqVUrdVq1Vq5XC6Xi5W9vZ1SqbRb3NvbLe3t7VUqlUq1VK85tXqlXq+Wy+VKpVYqViqVSqlStm1HuhsYY8AMmWRmaMlujuOAcBKJRCaTGRsbuXr16uXLlycnJwcHB2X8VEdHhyzzpEQiodVgQkRV8lXNWBfIgdCJnDfjLBBqQPQU9TMxzjr7vFs6UYutPjidSAZqKqmIyfJkjm9btY7U6RljpmkgQKlYXl5YfPbs2f2Hj6amXs4vLuzt7VTLlXK1Uq5WqpV6vV7XSyEAgHTLytbczR3gnHObezDAVCrV0dHR3d3d3d2d7kh2dnZmOrpSqVQynZBojWxMtbNunKRE1l3SdCKHuwpRtV63a7V6vS51olqlXi6Xq7VyqVQqFot7e3vF3ZLMJtvb2yuVK45jcxCGgaZhCCGQmYZhGCgjm8Kztrl1iEzTTCQS8biVSiY7Ozv7erPj5yY+uvbxRx99dPXypWw261a1cIV/zQTupxNF9myi8gVIJ4qGdKIzyFvSiSAqBTjAKehEcNhfa5s6UWQ0U4MT0onAb6HcbDWvsjX4dSJ3ZjHP32gYBgACwvbWzosXL7799vsff/wxX1jZ29urVqvVarVer1drNRnDCp5LQ7b9AH65XAhpXxzHkbkEmXS6b2Cop6crlUpxYVcqlXgs2dHRkUqlkqm4DDWKxZPxeNxgYMVisVjMNE3LikvbZxiGqxPJkFUZvMS5ms9B6kS1mi2lH+lgqFQqpVJJ2pe9vb2d3d3d3V3ph5Dzh1qGKX2wqoyddy2y/pGM9BHSxIDB4qaVSMSkQezq7MzlcufPT1y7du3jjz++cuVKZ2eHvNsO10sZRlTE8PIJ3P9a/OgERrt8SScizj5vNRyAR/15uJyGD1cnUiCq0j9MbuvOOIwQmGRT34lQ1VcFQ0TDRNNkwGFjY3N2dv7hwwePnz55MzOzml+WzXKlUqlU69Vq1bbdqdBAtXLyKMwdYChPgXBcYcU0WTKZ7uzs6O7p7OzszGQymY4uqRYlU/FEIhGLuz5vs0FM1s5jjCmdSAh39k+ZiiEti+M4dbsqVaKqtDLlWrVaLVeK0s+9u7u7t7ezs7Ozs1uUFlMaKdM05fgOwfASIFDaF9eaIwMAZCADiCzLkuOtVDLZ1dXV19d78eLFjz/++JNPPpmcnEyl3Ny6QCaE+qw/WaUTQaQShCiEuyrpRO8xZ1Ynasax1JuAw74frTPRjicHzZ/Nqx9Xq1WkzQqspAr5C9eDjAKqPLrhRYLbTrVaL5VKskXa2NiYnZ198+b19PT03NzcwsLCxsaGbXOHc1Uhn6keNudyFhjhJYKpo8upwUzTNE23ur6sf6Ry0FQ3OjAwULGOvhnN3EoTDgBw0aj0xp26WyFVCkmO4/7rgIo5chxH3iUMIU9AMGQChRAOyCBQjoimyTo7O8+fO3fhwvnJixcmJibGRkZzuVyqI53JZNLJlGVZWsVTf4VUqccp9V0+Gq9MdeARqyVyP/4qS4137K2rHmewE+9pslo+JgC87dHOB8sJd+LD7Wo7ucBhAqLSvnWFwntrNkJodlaRR29NZPZZcA/7ve3ueepCj7vhfobe5xVAoXrz7rcYXBPB4JzLGtWq9gQiSkth27xUKm1tbcm0X1nUeW5ubmFhbnV1dbWwLmeTBG+OG2QmY0yGrkIjJNaNZpW9ecswrXhM2hRwvSCGZbmxQgYDwzAADRk9JO2RQHCrJzT6hW5grHRFoFdDFDz1Xy73wlm5nLmSc+7YQmpJ0r5odRzc9Gr0CogK+Y9XPVAIAVxwEIjCNM3urq7z589fuHBhcvLcuXPnxsbGevtyqVSqoyOVTqdNMyYtu3uTDSYcvV+rvRMsemTl4ygViE6lYT2DJqYNjlp5gGifkzQx7fTb21R2Ik3GIawMO8j5HNo/0XQP7f/o9Wp3Er9m5LNEjf27Ob8AAEIzKoH5JUGLMArHFsmnX6/XK5XK3t7e3t7e9vZmobD+5s2bN29ev3nzZm5ubnk5v7u7K70RqhSG1HEcaWIc7uU7O+hV2EEmGJqmxSzLME1mGJaaJkzO1aNKX6OWjBa6n961e+ePANy7CteuOHWVaKYGMkKIes1Roxh3kOUNmACAMYMDyOLUhuuAaMA5N5lhmNjX1zc5OXnhwvnJycmJiYmRkZGenp5UKpXJZJLplGEY7vyevkfDEbFFb0pdpjc+RYyqqrEPb6OzTjrR0SGd6ECcIZ2Ic25g8IjK9xtoW93PngeYMWagaZqyVAJUq/WFhYWZmenXr1/Pz88uLCysrW3s7e3t7ZUqUp6vVCqVSq3m6i+NXiyiHCcIbSTm6vQAXNjgFnZoZAuDJ6mo3rm7xD1zPUjVnb5F9vmFEpW8XQXaa4Ym6LH3qIlQ2k3w+vRomqZlWXEZdxpPpFKJTCaTy+Umz09cuHBh8uKFsbGxgb5+y7IEgADh9tc9bQgRdc0I/C1pM51IaM5zua0QwnA9z24p1sbKpBOFIJ3oTEE6UfMTa7ZmJOHe/9vUicLXy8EXc46I3AEhBDJNMXeVHanRmGr1UqmSz+dnZmZmZ2eXlhZWVlZWV9e2trdl1nC5VKpUKpVqtVKpSVFGPyt3RhXvDDm3pZNWdWrVQjn1mKqtoHlTmLI0sn62ure6OQjcDc+nInvnTPmKVQE71UsWQjDp7VVTcDK3wp1hGLFYLJFIpRLJRDKW6khmMpmBvsHz58/LTvzY2Njg4KCnYXEuuBw7Bea2F41cM9SfrFreFNKJTgTSiU6Pd0QnCuyNN7cy+0bCtj6ld1gnEkKAZi+gyTxiwNzKRErQh4bnoFF3D13PtHsJOzt7MzMzs7NvpLd7eXl5Y2OrWCyWSiWVPlytVmtV2/WmyxEWunVRddldgMPB4Zyr/AZZHVv250F7J0PjrNCb4FoRjoiABjRGMe46AQe2tDKqtUctC0wIIet/AwqlE5mmGYuZqVRHMhFLxFPpjmR3d/fAwMDk5LkLFy5MTk6Ojo729vaqR+AILrTKgPrzYox5TyT4nujWx4stMtRn0onee86ITqRzOA1I37b9Z99mc7zv+m203fovRPvs3f+IM/fJKP5frzf7jL6yA178oa9p5m6HMtj/dvfjNnM1D5kasLezu7S0tLi4ODs/Nz8/v7CwsLi4vLq6Wq1WG9eJJiIajAkAgajSGYTjBRmhlxmn6zueugTg5jKgZlH04vzhdkf4xj8cAJg7L6PR0Gi85lXhDSccJU4hAGMs3dGR7cuNDA6Nj49PjI+Pjg6PjY319/en0+lEImHFElYiHjOZOiUUwACVC0R/OoEPLTjb3d8g72Ynnjg9TlgnaodmWlJkOxypEzXThtpc3k6/v9n5tHnc6G1bRyCqnmykWhSaJ94/469mTcK9QFUPW6kVamZ6AOXhaEzSLgvMSfdvvV6XvfbNzc3FxcX5+XkZZzS/uFBYXd/bKboOACYER8aYAIcxJmP4hRDu1ApeL1/12gMdd1d50WZr9i5Uu5PuXPLCu0moj21cfUo0KoN6OxABtUhZH63mkQMApmF0dnb2ZLOjo6MT4+Pj4+NjE6MjIyMDff3JZDKWiCcSibgVsywLDaa8L5Hxp4qoDOUgXu2ndwMyMURrzoCJUQSUIEWkTtTiWwj9eCMjkiC0TnjDwLetCZ/hgbwsDTS9IGIIGe4bt+2lCNpuVb0o0MjLz6pcBQA4jlOr1ar1WrVarVdrtVpN1jBaWFiYnZ1dWFpcWFhYWlrZ2NhQxeOkLqP8zUo/El6qBILBha0Oqrt4QXMzgOb8VleNwhufgDvng/uZIXixRt4ozOeAcf9D1FUk6YCRla+RCyEcBDAMo7Ozc2Cgb2xsYnx8dHz83NjY2NjIaE9vNpGIxZOJZDxhWZZhmehVF9LP0P9cpHpiaCcT0bNS46mjvYenCulER4d0ogOdw6nqROCXS7S5ZiIb7kbPHvTfhluROiAqCXc2Aam2MKbyy9TZbqyv5/P55eXlxeWF5eV8Pp8vFNZ3draKxWK5XC2Xy6VipVwuV8rlSrVqc7fitYE+BwKyRq+dqQ6338Yz/U9t7oDwrfCilqQmJeNKGqo8AHDO1c45gqe4x9xCp8lkMplMJZPpdDqdTnd1d+dyuYGBgZGRkeGhgaGhoYGBAZm7Ky/AAQDuuOZBjik0nQhCYta+fZd3ru9LnXiiNWegE38gnQiiPL1nXCdqas7Olk4EbrvtRZu6V+H6RJVe754z2LX6ymp+eXl5aWlpaWlpZTW/urq6sba5t7cnS87Jf6W05Nhuj1xmCiCirCghPEuhmmKfTuQdC7ywf2Up5HgAEb09NBk7cd/AQOaOcW/yNOkIYWjKqnaJRMI1MalUOp3uzGS6u7t7e3sGh4dGhkaHh4cHhvoHBwfjVkx/OkJVCtdiiCLdJNCGTqT1498NyMQQrTkDJkZxojpReCEcZJ1T1YnAiydi2gz3gUY48Izak4pCtpuhEG6tn8CuPKnKzZAAAMuydJ+0U7dXV1dXVlYWFxeX80vLy/nV1bX19XVpYkqlUrlcLpeq8kO9Xre5my2BXhEJz5q4yoLSicLd/vAL2Zh5AMDN5NC/9erGhm+af7Qmp9kBr+RQKp6KpxPJVCrVkU53dnZ2d3f29fUNDw4NjQwPDw8PDg4ODAwZBio7K4SQeXa6rY/UiZQypZYEn4WnJWnfhjlz1od0oqNzBnWig3K4nLWjtKqtOHhgXWPPvqbQ696GG6CABhw+Kz0iVJf2ZaaAqkUqhGBeo6RaQKmRCzkLjOPIWgxSqq9UKoXC+tLS0tLSwuLi4tLSytLS0vLy8sbGxl6xaNu2wRgDBGCysZbpV+r8GfqdpfpMbeirye1DizzS52t0q9PJUYgXjwoAgqPszcurMwwjmUzncrn+gYGh4YGRoeERj+7ubDKZlAXpLMsyDK9EnBdcKkeTqmvu3RlH3XM3DLPRbuopDC1yW94ZqBNPtOYsdeJb0KxP3Cyb7KBjAH3hafzq/VYmeD4tbFDQYRBSiyI20WaR9+0nNHuu7xBqfeQopDfCVF5oWYdCVv+RJqbu2MVicWNtc3F+YXrmzeLi/MLc/Nzc3Mpqfm9vr1azZdUh7yDczSDz9CnVt5aRtlI7C8yhE758AODQSGFT+CQnAKlzqcEJKFsjHEQ0DCuTyWR7ewcG+6R9GR4eHh0dHRka7ezuSiYbRU8NyzQMwx1ZIQgh1GcAlV+m98K513FH76n6YopD937/vJKzBpkYojVnycS0o63sq7xESkXte6CP8hs/mB/9QGOZsCs6pDiAfvTIxxoWmOQSfS4F6SrQa7AiE8JfrVX6vB2Xum3bjiMcx6nV7L29vfzyytLS0sLS/OLi4uLSytLS0mo+v7W1VSnXOOfMAEQUmodARY+C5/lW9YzA02IiL0HFEIHuzwBDFU71KnJwT7Rwa0j7bA2iaZqZTCbX3zs4MDw0NDQ8NDA2NjY6PDI0NJTp6k4mk978a0yaGPcMkQMXANyd5EieSMRdd89Nt4NNnp17P7TlBx1TvwVIJzo6pBPtu+e3qRMFKlXLfbstZ/OzUv5e909/bJE+tzE2uXuyFfN3zQEASqXK+vr62trq2tra2trG+vr6xsbG5uamnALGLWNUqZcrlUqtWqvV6tWazDio1WrcqTuOI/Nj/bkAACrySM6qw3njuFE6EWOMMWCMeTPauMRjsXgsGU9YiWQykUikkvGOjo6Ojs6enp6e3u5cLtfXm5P09vbG43H9/si4Uzlxm1egFJXO1fDDC31cEY7DlN36M91utg914onWnKVOfAuOVyfSV2g3R+x4OS6dCBAFRFYr0DZpoiXJWbREqEoFeBFGbrvK5P5dyUPOERaurCcAEKBed9YLa0sri/l8fr2wls/nC+trW1tbu7vFcrks5x0rl4u1Wo1zQETHFvV6vW5X3QrTjsO5rEvqzjgjX0at9Q4OZvzxRI1XV9o+b2YGJu2LnK8zHo8n3dCheCqV6khlOjs7u3o6s7neXLa3r6+vt7e3r68vl+01TFN/DAJAQCNjTvmuZe0nVbMDAEI6EWgLwTtV0omI95+zZGKORSeKXOed14mgVcRQ9JW2M/Z0FROZeyHlFOQBj7IAR2s/fZim6X3RWH9na3dtba2wvra+vp5fXV1bW9vc2NjZ2dnbLZVKpUq1VKlUKmV3yktZiEPh8LrjOIIriQeAt/S06BnQ7ukyRETDLa0tSyyZpmmZpm5iEolEMhlPJBLpdCadTnd2dnR3d2d7+3J92b7ebC6X6+vtz2azzGxYAe665oWs7gTIUQCiUFkmiOive6suwPvW5+r2fatBOtEHx3uvEx1XP77d7IZmd7Od1laXor1Y9OBR9LwnVU8aGlpSaMygt7NCtHjckW2dUDU73XLUMovN4dyWM44JgZVKZXenuLm5uba+Wlhb29zY2Nza2tzc3tra2tnZ2dvbKxaLxWKxUipXKhXZp3dsN56zodNLmQgYIsoiFK5mr7WwiIhgoMFM07QsIxaLpZMdiVQylUp0dHRkMl0yDjObzeZyud5cT3+ur7e3t6urS+Xomqwx85q8KMaYkqWE/yE1RCIvtgtadVB4k6/e4ZaIOvFEa85SJx6a91cOGmN/0D7QUfpJ7cRvh6wAADRU/uCavuyzfUsde7GZXo0ebbnfV+GtLCLvj9LTXQVEru+riSB9pI0ofZVv1djWnQLG9iaBAVnJqFAo5PN5GcdaKKzv7Oxwzk3TLFdqpb1iuVIsl8vlclmW2FMzxcj4WfdikIN6Xf3ZzY0sBmlfEBkz5Cw3bn89nUqnkx0dHZlMpqurq6enpy+X7e3t7e/vl3pQR0eHGbNM05Rz4rhzJKPvfmoPgnm3wonUKKOel961DdDsbW/27dmCTAzRmrNkYo7uY97XAxG5H52D/qIPZu9ajwZdm6J9Vii74NVOPaAmFVF/w3evVCwq+FvscAgShHKsAn4CaWWEwx3BHTnHJeflcnl7a3d9fb2wll9fX9/c2trY2Nje3t3e3lajmFKpVK2UKpWKXeeO4wivIJ2WQyDPFUDFCLmLGrMhy4pIhmGYFotZiXg8nkglk8lkRzrZId3aXV093Z29vb25XK6/vz+Xy2Wz2XQ6LSNSlY/cQBap7ARGiODFQ+ned/8Jh2Np29GG3hlIJzo6pBMd6CgnqxP5j+fqRIgYnj/S3aeI/g14aBGezBc2HzxnIRBRVqTzxy41VnD3yEzDiLgUwWGvWNzZ3d3d3VXCkKxkVKmUqtV6pVKpVaq1eqVer6t0NjUJsTsBJICeRyDVHHCjhzQM6do1TdOMe+p73KsNIWsPdXZ1ZDKZzo5MR0eHV9gCwP8UhAeAXw9y713onretE/nHZu9wS0SdeKI1Z6kTL4nM9zyKTtTmQQ+0fnjbZmcSvX/hNmX760RtnoNoVBRq4OlEweep594204kYMhmppHkyfH5dZZVUhYuAsNI4OQ47OztbW1ubm+ubm5s7O3ulUkkaiFrdqVXLtVrNrtWrdVck8tINHNu2uSOL1rmzDuuvq0oNUHgOBFNhWVY8HrfisXjckhXu5OzCHemk1IwymUw6lQaIHEJJZcoXjgr+PrrwuSaYKrSh1tR9P6HYVdDvp37DWn57tiATQ7TmLJmYNtv5yGjT91wnAi3W/nh1IjUCkpal2SAFNCMixzLN3hxEQ7Wy+rXUqrxY2t3Z2dnZ3S0Wi7ulYqVYKRaL5XK5UqlUq9VqtVyrVr30CHC8UQwXQnC7mX0R6M2YiWgYBkNTikSmacashIwhsuJmzLKSyWRClrdLJTo7Ozs6Onp6etLpdDKZ1M/WVTrcS/bZF9SmJAPw1f3Q1wFtP/4oaabisqJGMaQTfaC8BzqRzsm9x+3qRM3Q26OD56ZpkfNNsgAg1BB4fzZ+4XpskbumiGw+mu5Zv16u1XhrZPO6ObFKhUEAjmhwDduu2bZdr7tqkSxR0Qjj9E4GURiGJ73L+g6GYZqmYVgyVlPWelDTRron4M0lrCcVh++bfouiXe4yx407kbfFrYLhVnd6r3LNdKgTT7TmLHXiA7Tunbe/7YGOeEI///2tT1QmWrNv29l/tMUJx/A3w9+bD+4/HFukd7K98qRyvIGIIDgHcCslAUflV0C34KhQyx0h++5g23a9XpeWRRWq0B3LemCpsjKGiyz3YCpfhXfaiJpshswQ4Mb2g3aHRRujPs/o+Pro2s1h/tXeW8jEEK05qyamnYwwCK0T3jb87fHSOrKp/fGLFtfv+yZoNcKPppkVCK/jH7mEcfegvBFqfUSUuRf63Avu2erSiWCIKLg3hRmwyGPJhAYANyhIDRM8r7Z0RQg3E81x5DBGeb49v4NQvgfTjDHGDEMmMsdM0zQMlAnNck4z79q59J3IWCHPuslziK6j5/NhC1AVYPX7GXUPG3vQ3gdpg/TH9D4MZ5o0IO32ZAgAMN/2CbynHEIKOsaDN+97BVQh1JY39O9W0mGoDXIFfAPdecz84UYt74OsLSfbX4e7GrnXzqp/G5liUZcasX8BwbghuU4zRSzcmKLXijQRiVSzLm/aW++yEARBHD+IbufTa+va9Sq1HsipRt4vHvnMkxCqpQXDlL5uBgBoAIABAEKA7yBNbI2XH+04jqMvl514UBaMsYP2HQUAAkMEzu3WXpZIExN5oOgyGwRBnC3YfsJQYOUPgkPrd/qG6J9jXhM+Gs218PfndQdAw2fs37/uFfaUI44Ndd7dTo5i3IXNT1juhwvgXEh5yHEckIcAAAAmPQqyGBGa0SOYkM1qHqslTxtVRFXkrWaaRBa4pdBKgPPtQwiBCB/OS0vsC8UTnSRNfvRHF5Ginlq0T7hZA9Fmw6FaZBV5JNScLEzbVquOpivcgcMp/VvNGRnAjRdF9zN4PmRvtp2gT0NovhEULLDDfWfzCVy+GicIIWSb7o8jDdcNfc8hZy/RmrPq7D0iZ8yOtEFrm6I/pKh1ov3MrWOU/NsqooOSAiDqiQkMtFpF4LXb6uvGeEAAAPfnavlsSsDJob+HYVvTfOYXdzRyhK5Rs/gvncb4BHyul/ajEt4HyMQQrXmPTEyrpvIM0lSz0D7vZ02a71wI8OVXtBq/NN2JNzZp9i3423l9bCKAcfTm83FLCgV35LMmbuYAqnmcA/MFtYD57hPXjEvrHPlm+NbR9DKf7WuSXwLaOoERzckFRL9NmuSdfXCjuaNA8UTvJL4ecIvS1G0EzoS3CocsIiJoAUduVBFojbgeBQrBzdWfiAhucphcM3TCXiyP58SWy9TedOFdgGABM6WmtG+T0GBAupRR9dfVCu9mv4QgiENwIF8xoXPIvia67bz7p5zPhsvlDSPDZRhQUAxyhxsiMK5o3WhHhoqqf9v0xKhDHEJUUt33Zs5hgiDeF94LgxKI1Y+mrfZfa/FkM9h6HbWm37MrrUMoUcDttHvDAX2cIv8V6NbdQwBAKdw4yrLoLbPaoYw1kts0BkLttdsY+suv4wgVLbX/rhAD4R3aOfiGKqiliYT/jOI9FImIY+G9iSfatwLFGdJK99PjG+vs58v1Vo5+iHo1BNk26Rq2W0cz1HC4NU0132ar+xZQ9KXWDhCsghRscOXyZnO0YfC44XnfjkZ4byqxosU6Hxzk7CVa8144e9+9X/pBI1Jbe4b986Yd592Iej1QWgltIsuIY3HPSCIIAV7Ggd8zLLx55dVsngCAbg3vk+7V+FQtaAxVwr7x6PFh1G/kqDVE3kXIxBCteTdNTLhCMPiXvANEWA1vUSO5ybdFs0HW/m2af26EZtv6DqSHyTSGFYjQmLFHyz/Q6hbr4wvf3vV4IhYcGvtGMdhYqJ+nHuvqnp4vf4JrmxzuTeDaVYfif73ci9DY7cOyKQHezQbkbPGBxBOdUS3/uF7VwEuv/zD87kpdb26qLquIoTZhnstXhgBJlZ1rPXV9X+FIKD32NOJkAIW+q6jMAuUECGcsR3qY1Q6EEFrSMDUcBEEQp4JgmlQURNZZECBEyIesCLg43L9aCkSR+c6hzK9W1Vib9S+V76PJvwRBfJic0dHHvrRouZo2yoeOJ9UyBqJ6+I39e8OT6FQJlVHAAEUbWoDPV6yPTcIpEeFz1sYRqljrvkfUryic3RzOF/NjSEFNG6MF/yUFhDh23hudqHXbdLbU05AGD/vNpHaImXe8Y7mthqY6u5Xz3Vqhh0Kr4xC1ByG7902+Da4cujpvKy+PVHjHCtW6C24YKsgd/gyNlpojhucROENxZwRBnDxH/72fto/uoD3B5pFEkqPYmoMivAMHhk+heyjc0KNGIQbNpvhmtPHFGQl326gc5ANlJbfHoe2F2jAQdHCaz4IgiJPgPf0VY+THfWnnbrQeAbVb2knPbNBW5pHrBPDXM9LrogbPKrAHxEjdDAFAH2J5k+PIfQZd2gBhiSeyX9E0Kb697JOIyKwmaxKEy3ujE72DHDR5oG2aK8o+D6dWSQ7UkshNI0WZw51VZJsYmK0g8G1kqSMALldssXLrWhVRdymQAfeuOoIIgiDOMPs3rap5j1oO0MSUgOvrjizf0PpwrYxFk4VHMRDvz8TDBEG8h5zYCKU1emxRoOYOAByozfTibgyvrQ5EJ/llmijXQqCOEkSValHRPf4961tB+LiRn/1/qixm5v/WoLEJcZqQTnRahNtc93MTxfoAuw7nQrcTncQD8UQoAAG5AEQ1Lbx24k2kIl+cThMfb1vRmKJxLADWELPcE2mlkQt97VBto8Ca0OrehpV7giCIs44ItJiwjwk5js7/UaKogrV7ZHp0uLVvfZ7eVGfaErVDv8zUvN7foa8isqferPvezrHI3BAEcZq0bJEObCQOMEvXse65xVaofY7AzSfgGJgczR9J1M45yIyH1unJ0eMyIWOXQp8jVwa/LfOPfeQH1vhaO26TsU+LaFaCcCGd6D3jqDKzVsxIuXR96Vryo/o3sriDvrfw/iMPKj+w082t3XfeTYIgCOKkiWyHW7fPh/vqmCB3LkEQxNkiMiMhgL8WEgghEFCfHC1c4FV9brKrVkva+arJhbS/OkGcIO/NfGfEYTiuUvABEf1E9Ze3FAz7IUKT0RCtobkkiEikCYjoWLtTbp7eG3Jcc8MRJwGZGKI1ZGKIFrTdgETHkB60/WntBY8ieFzhxsl+0HOQnSbUgBwdiiciXI5ShKh5hi3xbkMhV0Q7HEsJM+K9QZ9AIPCVQFJhCIIgiOPh0N2Pg3ZuqTNMfICQTkS4HK6dDeTKtvNZb2iDlbRD64ehdvo0IbtItAOJREQ7qEKh7ZVROgYOun9q7wiCIN4hjqX70c745eiQfSHeOSjUjThmhBCtW20R+kAQBEF8IFDLTxAEQbwHkJOMeL+heKIPlxaCztuNIiHF/ezQTuk+4sPkzDYgxBmh2RsSfj3a8dm2E4tKvHOQiSGaQSaG2JfIBiRQMCEcHwTakvY/R9LyVQzPNN36M3GcUANyLJgkhX6w7Bv409ZOtKZXn6RYgAgsb/2ZOIMcyxtCvK/Q60G0pvkbIgIf27EFAv3bIdmOdx5qQ4gW0OtBtKaFK8I3bZmcQEGIxmdthEK8r1ADcixQPNEHzdGrFKM4ns/EuwJVtiYI4iigrg1pS9rZ6kCbEARBEB84KFjkZ+JDhmZfaRP6wXygqPlo3vaJEO8YiEivDRGG3gqCIA4EddOJQ0MWhyCIFjRrIsjuHAjSiT5Q6HdCHBp6eT5kyPQSxwIKQAECfYFFxAcLNSDEgaAXhiCIQ0MNSJuQTkQQBEG0CxlXgiCOEYpuJgiCII6dSLNCtuZAfHD1iZq5Lo+r2MFJu0ZPuiiDQAA88YlkwvUpjnfPZ4fjvcazdnUE8X5z9n+/Bz1D1fbKDzKi562gH/ddDClq9jT15Wfh3obR7W+zz/qaJw1JzwQhOUqL0frX2vr3flx98rfbnvjm0nmPbMrb4l0fzwIXIIT+Pkhb45sLD/3ryxMjIUmD4omItwk/4HKCIAhiX3ioFQ38eZa70dT+fyBQd5xoDc1YJAm35wRBnARklQJ8cOW+m13tSbwXQtvzcX0+ztNrPqOk/J0c7jx9u2p728ZZHXzbE7o/x87x3ENxepca+YZQjgAh2bcBec94V36/rS36abaZzd4Qxhg0uYdHbP9P57N+hhG0tdLJctB34G3Z02Ym5r1sQIiD8qGZmADtjM3aty8n/Xt/K21IiwbkJMYpre2U/tWHPH45O9d70AYkHG1EwAeYd3bKYOgD+FuZI65/FJr9GI74I2nWFre/+XusXB7l+b6Vpiv8MlAbSkhOqAE5y7xzv9+3yyHehPe7/SfCvMfNBXFEPkATc2g+2DvyVl6GSDv13j+CszyejT6BA74b1LBE8sHFExE6zaTW0z8T4gzSrHGgN4SQUANCtCbwhrhOXkZvCAFAJobYDzIxRAtUAEjQ0CB6iXpnp7jKWTufDwJqQI4OvbIEQRDE8UNOiA+ciBeA+mcEQRwNsiyEjnofqCoCQRw7lHdGEARBHD/UXSMCCBCAB4rPJx8sQRA+yLIQkUjBSAiBiGfPapy18/mQoX7FAaDbRBAEQRAEQRAEQRAEQQBQPBFBEARBEKdCm4EA3HNikSuLIAiCIIjjolm/guKMIqDbQRAEQRDEGYG/7RMgCIIgCIL40KF4IoIgCIIgTgFZcDQcVRT24zVbAqHlBEEQBEEQB6WdvscHDd0IgiAIgiAIgiAIgiAIAoDiiQiCIAiCOBWa1Sdioc9c+5dqFREEQRAEcbyE+x4Sil92+aAvniAIgiAIgiAIgiAIglBQPBFBEARBEKdAs/pEOnoMUTiqiCAIgiAI4uSg/oYL3QiCIAiCIAiCIAiCIAgCgOKJCIIgCII4RdrP/A9HFTXbimKOCIIgCIJoDfUWDgDdJoIgCIIgCIIgCIIgCAKA4okIgiAIgjhFWkcDhb9tx6FFTi+CIAiCIFpDvYUDQDeLIAiCIAiCIAiCIAiCAKB4IoIgCIIg3irksiIIgiAI4qzBQ0s+oB7LB3SpBEEQBEEQBEEQBEEQRAsonoggCIIgCIIgCIIgCELxQYfUfNAXTxAEQRAEQRAEQRAEQShIJyIIgiAIgiAIgiAIgiAASCciCIIgCIIgCIIgCIIgJKQTEQRBEARBEARBEARBEACkExEEQRAEQRAEQRAEQRAS0okIgiAIgiAIgiAIgiAIANKJCIIgCIIgCIIgCIIgCAnpRARBEARBEARBEARBEAQA6UQEQRAEQRAEQRAEQRCEhHQigiAIgiAIgiAIgiAIAoB0IoIgCIIgCIIgCIIgCEJCOhFBEARBEARBEARBEAQBQDoRQRAEQRAEQRAEQRAEISGdiCAIgiAIgiAIgiAIggAgnYggCIIgCIIgCIIgCIKQkE5EEARBEARBEARBEARBAJBORBAEQRAEQRAEQRAEQUhIJyIIgiAIgiAIgiAIgiAASCciCIIgCIIgCIIgCIIgJKQTEQRBEARBEARBEARBEACkExEEQRAEQRAEQRAEQRAS0okIgiAIgiAIgiAIgiAIANKJCIIgCIIgCIIgCIIgCAnpRARBEARBEARBEARBEAQA6UQEQRAEQRAEQRAEQRCEhHQigiAIgiAIgiAIgiAIAoB0IoIgCIIgCIIgCIIgCEJCOhFBEARBEARBEARBEAQBQDoRQRAEQRAEQRAEQRAEISGdiCAIgiAIgiAIgiAIggAgnYggCIIgCIIgCIIgCIKQkE5EEARBEARBEARBEARBAJBORBAEQRAEQRAEQRAEQUhIJyIIgiAIgiAIgiAIgiAASCciCIIgCIIgCIIgCIIgJKQTEQRBEARBEARBEARBEAAA/391MILMAeLqQQAAAABJRU5ErkJggg==
53
float
graph theory
undergraduate
247
247
1
How many nodes are in this empty graph?
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
35
float
graph theory
undergraduate
248
248
1
How many pink nodes are in this empty graph?
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
5
float
graph theory
undergraduate
249
249
1
Find the difference between the number of blue nodes and red nodes.
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
1
float
graph theory
undergraduate
250
250
1
What color has the largest number of nodes? choice: (A) blue (B) pink (C) green (D) orange
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
D
multiple choice
graph theory
undergraduate
251
251
1
Is the following directed graph strongly connected? choice: (A) Yes (B) No
iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAIAAAC6s0uzAABJ7ElEQVR4nO3de1xT9f8H8HMAhyAoVxWYKSamDE0ZYZZpmKGA3AxF5aKWN0gxxQugBaiAkXihIulbZgKWVsq8gKJhfb2EwtTahvewGJDCBIVApnB+f6yf8TVTNrZ9trPX8w8fCJzP501ZLz+f8znvQzMMQwEAAIB2GZEuAAAAwBAhgAEAAAhAAAMAABCAAAYAACAAAQwAAEAAAhgAAIAABDAAAAABCGAAAAACEMAAAAAEIIABAAAIQAADAAAQgAAGAAAgAAEMAABAAAIYAACAAAQwAAAAAQhgAAAAAhDAAAAABCCAAQAACDAhXYCOYhimtra2ublZLpdzOBxzc3N7e3uapknXBQAALIEA/ltdXV1xcbFQKCwrKzt37lxDQ0PHr1pZWbm7u3t4ePD5/PHjx9vZ2REqEwAA2IBmGIZ0DYQxDFNSUpKVlbVnzx65XM7lchUpy+PxLC0tORyOXC5vbGyUSCSKbJZKpRwOJzQ0NDo6etSoUVgWAwCACgw9gAUCQVJS0oULF5ydnaOiosLDwx0cHJ58SU1NTW5u7ieffFJRUTFy5MikpKSAgADtVAsAAKxhuIewZDJZWFhYUFCQnZ1dQUHBtWvXVqxY8dT0pSjKwcFhxYoV165dKygosLW1DQwMDAsLk8lkWqgZAABYw0BXwPn5+QsXLpTL5ZmZmWFhYSpvIzMMk5ubGxMTY2pqum3btqCgILWWCQAArGVwK2CGYVJTU4ODgz09PSUSSXh4eFdu4tI0HRERUV5e7unpGRwcnJaWZph/oQEAAGUZVgAzDJOQkLB69eqkpCSBQNCZDefOcHBwEAgEiYmJisGRwQAA8FSG9RhSWlrahg0bNm7cGBsbq96RaZpOSkqytLRcvny5paVlfHy8escHAACWMaAAzs/PV6x91Z6+D8XGxjY2NiYkJLi6ugYGBmpoFgAAYAFDOYQlk8l4PJ6np6dAINDok7sMwwQEBJSWlkokEltbW81NBAAAes1Q7gHHxMTI5fLs7GxN982gaTo7O7u1tXXJkiUanQgAAPSaQQSwQCDYtWtXZmamuk5dPZmjo2NmZmZeXt7+/fu1MB0AAOgj9m9BMwzj7u5uZ2dXVFSktbaRDMN4e3vLZDKhUIhelQAA8E/sXwGXlJRcuHBh2bJl2gxCmqaXLl16/vz5M2fOaG1SAADQI+wP4KysLGdn54kTJ3by+3fs2EH/v+7duzs6Ok6cODEzM7OxsVGpeSdOnOjs7JyVlaV8yQAAwH4sD+C6uro9e/ZERUUZGSn3k65duzYnJ+eTTz5ZvHgxRVHvvPPOsGHDfvnll86PYGxsvHDhwt27d9fV1SlXNAAAGACWB3BxcbFcLg8PD1f2Qh8fn/Dw8Dlz5sTHxx85cuTYsWO3bt0KCAhoaWnp/CARERFyufz48ePKzg4AAKzH8gAWCoVcLrfrh5/Hjx//7rvv/vbbb7m5uZ2/ysHBwcnJSSgUdnF2AABgH5YHcFlZmYeHh1qGioiIoCiqqKhIqas8PDzKysrUUgAAALAJmwOYYZhz587x+Xy1jMblcnv16nX9+nWlruLz+efOnWP9s14AAKAsNgdwbW1tQ0MDj8dT14AWFhbKnoV2c3Orr6+vra1VVw0AAMAObA7g5uZmiqIsLS3VNWBTU5Oyo1lYWFAUpdTRLQAAMARsDmC5XE5RFIfDUctoUqn0zp07gwYNUuoqxeytra1qqQEAAFiDzQGsCD9FDHddTk4ORVGdb+ihoJjd1NRULTUAAABrsDmAzc3NKYpS9q7tYxUXF69bt87Z2TksLEypC5uamiiKMjMz63oNAADAJiakC9Age3t7KysriUQSHBys7LWFhYWXLl168ODBzZs3i4uLjx492r9///3793fv3l2pccRisbW1tb29vbIFAAAAu7E5gGmadnd3V60PxnvvvUdRFIfDsbGxGTZs2JYtW+bMmaPCeS6hUOju7o4XIgEAwCPYHMAURXl4eOzatUupS2bPnj179mx1FVBWVqZCI0wAAGA9Nt8DpiiKz+dLpdKamhois9fU1FRVVamrEwgAALAJywN4/PjxHA5HqQbOapSTk8PhcLy8vIjMDgAAuoxmfZfEiIiIU6dOXbt2Tdk3EnZRW1ubi4vLmDFjdu7cqc15AQBAL7B8BUxRVHR0dEVFxZEjR7Q875EjRyoqKqKjo7U8LwAA6AX2r4AZhuHz+ba2tkVFRVo7jcwwjLe39+3bt8vKynAEGgAA/on9K2CappOSko4dO5aXl6e1SXNzc48dO5aYmIj0BQCAx2L/ClghLCyssLBQIpE4ODhoeq7q6moej+fn50fq8BcAAOg+QwlgmUzG4/E8PT0FAoFGV6UMwwQEBJSWlkokEltbW81NBAAAeo39W9AKtra227ZtO3DgwNq1azU6UXJy8sGDB7Ozs5G+AADwBIYSwBRFBQUFpaSkJCUlZWRkaGiKjIyM5OTk1NTUwMBADU0BAADswPJWlI+Ij49vampavnx5Y2Ojek9IMQyTnJycnJy8ZMmSuLg4dQ0LAABsZSj3gB9iGGbDhg0JCQn+/v7Z2dlqOZNVXV29YMGCgwcPUhRlZGQ0bdq0BQsWjBs3DkegAQDg3xjQFrQCTdPx8fH5+flnz551dXXNycnpyl9BGIbJycnh8XilpaU7duygKKq9vX3Pnj1eXl6DBg3KyMior69XW+kAAMAiBhfACoGBgRKJxNfXNzIy0tvbu6CgoL29XakR2traCgoKvL29IyMj/fz8ysvLZ82axePxKIpSDPXrr78uX7582bJlGvkBAABAzxloAFMUZWtrm5eXl5+fL5PJ/Pz8Bg0alJ6e3pn3JtXU1KSnp7u4uPj5+clkMoFAkJuba2NjQ1GUr6+viclft9WNjY379esXHx+v2R8DAAD0k8HdA/4nhmHOnDmTlZW1e/duuVzO5XL5fD6fz3dzc7OwsOBwOHK5vKmpSSwWC4XCsrKyqqoqU1PT0NDQ6OhoT0/Pjjd6jx496u3trfjYxMTk1KlTnp6ehH4sAADQaQjgv9XV1X333XdLly4dNGhQZWVlQ0NDx69aWVnx+XwPDw8+n+/l5WVnZ/fPEVpaWnr16nX//v2xY8dKpVJFBj/2OwEAwMAZ1mNIT2ZjY7Nz586WlpaBAwf+/PPPtbW1LS0tra2tpqamZmZm9vb2Tz3VbGZmNn/+/Pb29q1bt/7++++jR4/29/f//vvvzc3NtfMjAACAvsAK+G8ZGRnLly+nKKpPnz41NTVdf4iotLT01VdfnTBhwnfffffw3jAAAABlyIewHnH27NlVq1YpPr558+bPP//c9TFfeOGFb7755tChQ4sWLcJfdAAAoCMEMEVR1J07d0JCQh7+1tjY+MCBA2oZ2dfX99NPP83Ozk5NTVXLgAAAwA4IYIqiqKSkpMrKyra2NsVv29ra9u3bp67B33zzzeTk5DVr1ig6dQAAAFA4hKUQEhJy9+5doVD4cOf5/PnzTU1NFhYWahn/3XfflUql8+bNc3BwmDhxolrGBAAAvYZDWH87e/bsqFGj8vPzKYpqbGwMCwtTYzPnBw8eBAcHHz9+/Mcff+Tz+eoaFgAA9BQC+G/bt2+fO3duU1OThp4a+vPPP8ePH3/jxo2ffvpp4MCBmpgCAAD0Be4B/00kEg0aNEhzz+z26NHj4MGDPXv2nDRpUl1dnYZmAQAAvYAA/ptYLHZzc9PoFPb29ocPH75z546/v39zc7NG5wIAAF2GAP6bSCTSdABTFPXss88eOnRIJBLNmDHjwYMHmp4OAAB0EwL4L7W1tTdv3hw2bJgW5vLw8ECDDgAAA4cA/otEIqEoSgsrYAUfH5///Oc/aNABAGCw8BzwX0QiEYfDcXFx0dqMc+bMkUqla9ascXJymj17ttbmBQAAXYAA/otYLB46dKiWX5mwZs0aqVQ6d+7cvn37Tpo0SZtTAwAAWdiC/otIJNLODeCOaJr++OOPfX19Q0JChEKhlmcHAACCEMAURVEMw2jhGaTHMjEx+eqrr9zc3Hx9fX/99VftFwAAAEQggCmKon7//ffGxkYiAUxRVI8ePQ4cONCrV69JkybV1tYSqQEAALQMAUxRFCUWiymK0v4W9ENo0AEAYGgQwBRFUWKxuGfPnv369SNYw8CBAw8dOiQWi6dPn44GHQAArIcApqj/74GlxncfqcbDw+Pbb78tKCh4++230aADAIDdEMAUpZUu0J00adKkzz777NNPP01JSSFdCwAAaBCeA6bu379/8eLFuXPnki7kL7Nnz5ZKpe+++66Tk9OcOXNIlwMAABqBAKauXbsml8t1ZAWssHr16srKynnz5vXt29fHx4d0OQAAoH7YgqZEIhGlxS7QnfGwQcfUqVPLyspIlwMAAOqHAKbEYnHfvn3t7OxIF/I/TExMvv76azc3Nz8/v+vXr5MuBwAA1AwBrEMnsB5hbm5+8OBBNOgAAGAlBDCZLtCdZGdnd/jw4bt3706ePPnPP/8kXQ4AAKiNoQdwc3Pz9evXdXMFrDBw4MCCggKJRIIGHQAAbGLoAVxeXs4wjC4HMEVRfD7/22+/LSwsjI6ORoMOAAB2MPQAVnSB5vF4pAt5CkWDjv/85z/r168nXQsAAKiBoT8HLBKJBg4c2KNHD9KFPN3s2bOrqqrWrFnj5OT05ptvki4HAAC6xNADWCwW6+wJrH9KSEiorKycP3++g4MDGnQAAOg1Q9+CVryGgXQVnUXT9EcffeTn5xcSElJaWkq6HAAAUJ1BB7BMJqupqdGjFTBFUSYmJl999dXw4cPRoAMAQK8ZdABLJBJKx5pQdoa5ufmBAwesrKzQoAMAQH8ZdACLRKJu3boNHjyYdCFKUzToaGxsRIMOAAA9ZdABLBaLhwwZ0q1bN9KFqELRoKO8vDw0NBQNOgAA9I5BB7B+ncD6J3d392+//fbIkSNo0AEAoHcMN4AZhtGvZ5Aea+LEiYoGHevWrSNdCwAAKMFwnwOWSqV37tzR6xWwwqxZs6qqqlavXu3k5PTWW2+RLgcAADrFcANY0YRS31fACvHx8ZWVlQsWLHBwcPD19SVdDgAAPJ3hbkGLxWILC4tnnnmGdCFqoGjQMXny5KlTp6JBBwCAXjDcABaJRDwez8iIJf8EjI2Nd+3a9fzzz/v5+V27do10OQAA8BQsiR8VsOAE1iMUDTqsra0nTZp069Yt0uUAAMCTGGgAP3jwoLy8nAUnsB5ha2t7+PDhpqYmNOgAANBxBhrA169fb21tZdkKWMHZ2bmgoODixYvTpk1Dgw4AAJ1loAEsEokoPewC3Unu7u7fffddUVFRVFQUGnQAAOgmAw1gsVhsb2/fu3dv0oVoire39+eff/7ZZ5+tXbuWdC0AAPAYBvocMPtOYP1TZGSkVCpVNOiYO3cu6XIAAOB/GGgAi0SiSZMmka5C4+Lj46VS6cKFCx0cHPz8/EiXAwAAfzPELeiWlpZr166xfgVMURRN0x9++KG/v/+0adPOnj1LuhwAAPibIQbwxYsX29vb2XoC6xFo0AEAoJsMMYAVXaB5PB7pQrTEzMzswIEDtra2aNABAKA7DDGARSLRgAEDLC0tSReiPYoGHX/++aefn19TUxPpcgAAwCADWCwWG8j+c0cDBgwoKCi4dOlSaGgoGnQAABBnoAFsCCew/mnkyJGKBh0LFy5Egw4AALIMLoDr6+ulUqkBroAVvL29t2/f/vnnnycnJ5OuBQDAoBncc8ASiYSiKMNcAStERERIpdKEhAQul4sGHQAApBhcAItEIhMTk+eee450ISTFxcUpGnT07dt38uTJpMsBADBEBrcFLRaLBw8ezOFwSBdCEk3TmZmZ/v7+oaGhaNABAECEwQWwSCQy5P3nhxQNOkaMGIEGHQAARBhWADMMY5jPID2WmZnZ/v37bW1tJ06cePPmTdLlAAAYFsMK4Jqamvr6eqyAH1I06Ghubp48eTIadAAAaJNhBbBIJKIoCivgjgYMGFBYWHjp0qVp06bdv3+fdDkAAIbCsAJYLBabm5s7OzuTLkS3jBgxYu/evUePHkWDDgAArTGsABaJRDwez8jIsH7qznj99de3b9++ffv2pKQk0rUAABgEw3oOWCwWDx8+nHQVOioiIqKqqio+Pp7L5c6bN490OQAALGdAAdzW1iaRSMLCwkgXortWrVqlaNDh4OCABh0AABplQJuxv/76671793AC6wlomt66dWtgYOC0adPOnDlDuhwAADYzoAAWi8WUYXeB7gxjY+O8vLyRI0dOnjz56tWrpMsBAGAtAwpgkUhka2vbp08f0oXoOkWDDjs7u0mTJqFBBwCAhhhQACteA0zTNOlC9ICtrW1hYWFzc7Ofnx8adAAAaIIBBbBIJMIN4M5TNOi4cuUKGnQAAGiCoQTwvXv3rl69igBWysMGHQsWLECDDgAA9TKUAL506VJbWxtOYClrwoQJX3zxxRdffJGYmEi6FgAAVjGU54AVR6B5PB7pQvRPeHh4VVVVXFwcl8udP38+6XIAAFjCgAL4mWee6dWrF+lC9NLKlSulUmlUVJSDg4O/vz/pcgAA2MBQtqBxAqsraJresmVLYGBgaGhoSUkJ6XIAANjAUAJYLBYjgLtC0aDD3d3d39//ypUrpMsBANB7BhHAd+7c+f3333ECq4vQoAMAQI0MIoAlEglFUVgBd52Njc3hw4fv3buHBh0AAF1kEAEsEomMjY2HDBlCuhA26N+/f0FBwZUrV6ZOnYoGHQAAKjOIABaLxS4uLt27dyddCEuMGDFi375933///fz589GgAwBANYYSwLgBrF6vvfbaF198sWPHDjToAABQDfufA2YYRiQSxcTEkC6EbcLCwqqqqlatWuXk5LRgwQLS5QAA6Bn2B/DNmzdlMhlOYGnCihUrpFJpdHS0g4NDQEAA6XIAAPQJ+7egRSIRRVHYgtYEmqY3b94cFBQ0ffp0NOgAAFAK+wNYLBabmZkNHDiQdCHsZGxsnJuby+fzJ0+ejAYdAACdx/4AFolErq6uxsbGpAthLTMzM4FA0Lt370mTJv3xxx+kywEA0A/sD2A0odSCjg06GhsbSZcDAKAHWB7A7e3tEokEN4C14JlnniksLLx69SoadAAAdAbLA7iioqK5uRmvAdaO559/ft++fcXFxfPmzUODDgCAJ2N5AIvFYgpHoLXotdde27Fjx5dffvnee++RrgUAQKex/DlgkUhkbW3t6OhIuhADMnPmzKqqqpUrVzo5OS1cuJB0OQAAOorlAaw4gUXTNOlCDMvy5csrKyvffvttBweHwMBA0uUAAOgilm9Bi0Qi7D9rn6JBR3Bw8IwZM3766SfS5QAA6CI2B3Bra+uVK1fwDBIRigYdHh4e/v7+ly9fJl0OAIDOYXMAX7ly5cGDB1gBk9K9e/f8/Hw06AAAeCw2B7CiCzSeQSJI0aBDLpejQQcAwCPYHMBisdjJycna2pp0IQZN0aDj2rVrISEhaNABAPAQmwMYJ7B0xPDhw/ft23f8+PG5c+eiQQcAgAKbAxhdoHXH+PHjd+zYsXPnzjVr1pCuBQBAJ7D2OeDGxsYbN25gBaw7Zs6cWV1dvWLFCi6XGxUVRbocAADCWBvAEomEoiisgHVKbGxsZWXlokWLHB0d0aADAAwca7egxWKxkZHR0KFDSRcCf6NpetOmTVOmTJk+fToadACAgWNtAItEokGDBpmZmZEuBP6HsbFxTk7OCy+8MHnyZDToAABDxtoAxgksndW9e3eBQNC3b1806AAAQ8baAMYzSLrM2tq6sLBQLpf7+vqiQQcAGCZ2BvCtW7dqa2uxAtZligYd169fDwkJkcvlpMsBANA2dgawWCymKAorYB03fPjw/Pz848ePz5s3Dw06AMDQsDOARSKRqanps88+S7oQeAovL68vv/wSDToAwACx8zlgsVjs6upqYsLOn45lZsyYUV1dvXz5cjToAACDws6IEolEuAGsR5YtW6Zo0OHg4BAUFES6HAAAbWDhFnR7e7tEIkEA6xFFg4433nhjxowZp0+fJl0OAIA2sDCAf/vtt6amJpzA0i9GRkY7d+709PT09/dHgw4AMAQsDGDFEWisgPVO9+7d8/PzFQ06ampqSJcDAKBZ7AzgXr16cblc0oWA0qytrQ8fPnz//n1fX9+7d++SLgcAQINYGMCKE1g0TZMuBFTRr1+/wsLCX3/9FQ06AIDdWBjAYrEYN4D12rBhw/Lz83/44Ye5c+eiQQcAsBXbAvj+/fuXLl3CDWB95+XltXPnzpycnNWrV5OuBQBAI9j2HPCVK1fu37+PAGaB6dOnV1VVKRp0REdHky4HAEDN2BbAIpGIwhFotli2bJlUKlU06AgODiZdDgCAOrFtC1osFjs4ONja2pIuBNSApumMjIypU6fOnDnz1KlTpMsBAFAnFgYwTmCxiZGR0Zdffqlo0HHp0iXS5QAAqA3bAhhdoNlH0aDD0dERDToAgE1YFcB//vnnr7/+ihUw+1hbWxcWFj548AANOgCANVgVwBKJhMIJLJZ62KDjjTfeQIMOAGABVgWwWCymadrV1ZV0IaARigYd//3vf9966y006AAAfce2AH722WfNzc1JFwKaomjQkZubm5CQQLoWAIAuYdVzwDiBZQhCQ0OrqqpiY2O5XO7bb79NuhwAABWxKoDFYvG8efNIVwEap2jQsXjxYkdHRzToAAA9xZ4t6Lq6uj/++AMrYAOxcePGqVOnzpgx4+TJk6RrAQBQBXsCWCwWUxSFZ5AMhKJBx4svvhgQEHDx4kXS5QAAKI09ASwSiTgczqBBg0gXAlrSsUFHdXU16XIAAJTDngAWi8VDhgzp1q0b6UJAe6ysrAoLC9va2tCgAwD0DqsCGPvPBkjRoOPGjRtTpkxBgw4A0CMsCWCGYcRiMU5gGSZFg44TJ068+eab7e3tpMsBAOgUlgRwZWXl3bt3sQI2WK+++urOnTvz8vLQoAMA9AVLngMWiUQUukAbttDQ0Orq6mXLlnG53EWLFpEuBwDgKVgSwGKx2NLS8plnniFdCJC0dOlSqVQaExPj6Og4ZcoU0uUAADwJS7agFU0oaZomXQgQ9sEHH0ybNm3mzJlo0AEAOo4lAYwTWKCgaNAxevRoNOgAAB3HhgB+8ODBxYsXcQILFExNTfft2+fk5IQGHQCgy9gQwFevXpXL5VgBw0OKBh3t7e0+Pj5o0AEAuokNAazoAo0Aho64XG5hYeFvv/2GBh0AoJvYEMAikahPnz729vakCwHd4ubmJhAI0KADAHQTGwIYTSjh34wbNy4nJycvLy8+Pp50LQAA/4MNzwGLxWI/Pz/SVYCOmjZtWnV19dKlS7lc7uLFi0mXAwDwF70P4Obm5mvXruEGMDzBO++8I5VKlyxZ4ujo+MYbb5AuBwCAolgQwBcvXmQYBlvQ8GTp6elVVVVhYWG9e/d+5ZVXSJcDAKD/94AVXaBdXV1JFwI6zcjIaMeOHaNHjw4MDCwvLyddDgCA/gewWCweOHCghYUF6UJA13Vs0FFVVUW6HAAwdHofwIou0KSrAP2gaNDBMIyvr++dO3dIlwMABk3vAxjPIIFSuFzu4cOHf//9dzToAACy9DuAb9++XV1djRUwKIXH4+Xn5588eXLOnDlo0AEApOh3AKMJJahG0aDjq6++iouLI10LABgo/X4MSSwWd+vWbfDgwaQLAf0zbdq0mpqad955h8vlxsTEkC4HAAyOfgewSCR67rnnOBwO6UJALy1ZsqSysvKdd95xdHQMCQkhXQ4AGBb9DmCcwIIuUjToCA8P79OnDxp0AIA26fE9YIZhxGIxbgBDVygadLz00ksBAQFo0AEA2qTHAVxVVdXQ0IAVMHSRokFHv3790KADALRJjwMYR6BBXXr16lVYWEhRlI+PDxp0AIB26HEAi0QiCwuL/v37ky4E2MDJyamwsLCysjI4OLi1tZV0OQDAfnocwGKxmMfjGRnp8Y8AOoXH4wkEglOnTqFBBwBogR6nF7pAg9qNHTs2Nzf366+/XrVqFelaAIDl9PUxpLa2tvLy8lmzZpEuBNhm6tSpNTU1S5Ys4XK5S5YsIV0OALCWvgbw9evXW1tbsQIGTYiJiamsrFy6dKmjo+PUqVNJlwMA7KSvASwSiSiKwjNIoCHvv//+wwYdY8eOJV0OALCQvt4DFovF9vb2vXv3Jl0IsJORkdEXX3zx8ssvBwYGSiQS0uUAAAvpawCLRCIsf0GjOjbokEqlpMsBALbR1wBGE0rQAkWDDpqmfX190aADANRLLwO4paXl6tWrCGDQAicnp8OHD6NBBwConV4G8KVLl9rb27EFDdrh6uq6f//+06dPz549Gw06AEBd9DKAFV2geTwe6ULAULzyyiu5ubm7d+9euXIl6VoAgCX0MoBFItGAAQMsLS1JFwIGJCQkZMuWLRkZGVu2bCFdCwCwgV4+B4wTWEBETEyMVCpdtmyZk5MTGnQAQBfp6woYN4CBiA0bNsyYMSM8PPzHH38kXQsA6Df9C+CGhgapVIoVMBChaNAxZsyYwMBAxVkEAADV6F8AK9oSIYCBFA6Hs3fv3v79+/v4+KBBBwCoTP8CWCQSmZiYDBkyhHQhYLgUDTqMjIx8fHwaGhpIlwMAekn/AlgsFg8ePJjD4ZAuBAyao6NjYWGhVCpFgw4AUI3+BTBOYIGOUDTo+Omnn2bNmoUGHQCgLD0LYIZh8AwS6I5XXnklLy9vz549aNABAMrSswCuqam5ffs2VsCgO954442tW7dmZGRs3ryZdC0AoE90vREHwzC1tbXNzc1yuZzD4Zw9e5bCEWjQMYsXL37YoGPatGmkywEA/UAzDEO6hkfV1dUVFxcLhcKysrJz5849csqUw+GMGTPGw8ODz+ePHz/ezs6OUJkAf2tvb4+MjPzmm2+KiorGjRtHuhwA0AM6FMAMw5SUlGRlZe3Zs0cul3O5XEXK8ng8S0tLDocjl8sbGxslEokim6VSKYfDCQ0NjY6OHjVqFE3TpH8CMGhyudzX17esrOzkyZPYpAGAp9KVABYIBElJSRcuXHB2do6KigoPD3dwcHjyJTU1Nbm5uZ988klFRcXIkSOTkpICAgK0Uy3AY929e3fs2LF1dXUlJSVcLpd0OQCg08gfwpLJZGFhYUFBQXZ2dgUFBdeuXVuxYsVT05eiKAcHhxUrVly7dq2goMDW1jYwMDAsLEwmk2mhZoDH6tmzZ0FBgbGxMRp0AMBTEV4B5+fnL1y4UC6XZ2ZmhoWFqbyNzDBMbm5uTEyMqanptm3bgoKC1FomgBIuXrz48ssvDx8+/MiRI6ampqTLAQAdRWwFzDBMampqcHCwp6enRCIJDw/vyk1cmqYjIiLKy8s9PT2Dg4PT0tJ0ZGsdDNDQoUP3799fUlISGRmJBh0A8G/IBDDDMAkJCatXr05KShIIBJ3ZcO4MBwcHgUCQmJioGBwZDKSMGTNm165d33zzzYoVK0jXAgA6isxzwGlpaRs2bNi4cWNsbKx6R6ZpOikpydLScvny5ZaWlvHx8eodH6CTpkyZkpmZuXjxYicnp2XLlpEuBwB0DoEAzs/PV6x91Z6+D8XGxjY2NiYkJLi6ugYGBmpoFoAnW7RokVQqjY2NdXJyCg0NJV0OAOgWbR/CkslkPB7P09NTIBBo9MldhmECAgJKS0slEomtra3mJgJ4gocNOo4cOfLqq6+SLgcAdIi2AzgsLKywsFAikajrvu8TVFdX83g8Pz+/3NxcTc8F8G8eNug4ceIE2pgDwENaPYQlEAh27dqVmZmphfSlKMrR0TEzMzMvL2///v1amA7gsTgczt69ewcMGODj41NZWUm6HADQFdpbATMM4+7ubmdnV1RUpLW2kQzDeHt7y2QyoVCIXpVAUHV19ejRoy0tLU+ePGllZUW6HAAgT3sr4JKSkgsXLixbtkybQUjT9NKlS8+fP3/mzBmtTQrwT46OjocPH66urg4KCrp37x7pcgCAPO0FcFZWlrOz88SJE1W4kKbpUaNGqTbvxIkTnZ2ds7KyVLscQF2GDh164MCBM2fOzJo1Cw06AEBLAVxXV7dnz56oqCgjI6VnzMvLGzBgwNmzZ69du6bC1MbGxgsXLty9e3ddXZ0KlwOo0csvv6xo0LF8+XLStQAAYVoK4OLiYrlcHh4eruyFFRUVp0+f3rRpk729fV5enmqzR0REyOXy48ePq3Y5gBoFBwdnZmZu3rx506ZNpGsBAJK0FMBCoZDL5apw+DkvL8/a2trPzy8kJETlAHZwcHBychIKhapdDqBeixYtiouLi42N/frrr0nXAgDEaCmAy8rKPDw8VLgwLy9vypQpHA5nxowZV69eLS0tVa0ADw+PsrIy1a4FULvU1NTw8PBZs2ZhYwbAYGkjgBmGOXfuHJ/PV/ZCoVB46dKl6dOnUxQ1ZswYLper8iKYz+efO3cOr2cAHUHT9Oeffz527NigoCCRSKTUtQzD3Lp168aNG1euXLlx48atW7fwBxtAH2mjF3RtbW1DQwOPx1P2wry8vD59+nh5eVEURdN0aGhobm5uRkaGsbGxskO5ubnV19fX1tb27t1b2WsBNIHD4Xz33Xfjxo3z8fH56aef+vXr94RvrqurKy4uFgqFZWVl586da2ho6PhVKysrd3d3Dw8PPp8/fvx4Ozs7zZYOAOqgjQBubm6mKMrS0lKpq9ra2r7++msvL6+KigrFZ0aNGpWRkfH99997e3srW4OFhQVFUS0tLcpeCKA5PXv2PHTo0EsvveTj43PixAlra+tHvoFhmJKSkqysrD179sjlci6X6+HhERsby+PxLC0tORyOXC5vbGyUSCRCoXDXrl3p6ekcDic0NDQ6OnrUqFFoPgOg0xjNu3z5MkVRP/74o1JXFRUVPbbgyMhIFWr44YcfKIq6fPmyCtcCaNTFixdtbGzGjh3b0tLS8fP5+fkjRoygKMrZ2Tk9Pb26uvqpQ1VXV6enpzs7O1MUNXLkSIFAoLGqAaCrtNGK8saNG87OzkePHp0wYULnr5o9e3ZhYeHHH3/c8ZN79+49ePDgzZs3zczMlKrh6NGj3t7e1tbWvXv3trOzs7W1ffjrI7+1trZWYYsboCtOnTo1YcIEf3//r7/+2sjISCaTxcTE7Nq1a8KECcuWLZs4caJSD9C3t7cfOXJk06ZNx44dmzlzZmZmJl4IBqCDtLEFbW5uTlFUY2Nj5y9paWnZu3fv1KlTQ0JCOn7e0dHxq6++2r9/v7JvV21qaqIoKioq6t69ezKZrK6urry8vK6uTiaT1dfXd/xOmqatra0fm80df7WxsTExIfA2ZWAlRYOON954Y9myZePGjYuKipLL5Tk5OWFhYSpsIxsZGfn4+EyaNCk3NzcmJub777/ftm1bUFCQBgoHANVpYwXMMIyNjU1sbOyaNWs6ecnu3bunT5+en58fGBjY8fPt7e19+/Z98cUXlX3B0bp16zZv3iyTyf75v7MHDx7cvn1bkcr//PXhB/X19Y/8s7KysnpsNnf8ra2tbbdu3ZQqFQzWRx99tHjxYoqi/P39s7Oz1fLSsJqamgULFhw4cCA1NTUuLg53hQF0hzbWcDRNu7u7K9UHIy8vr3v37q+//vojnzcyMvLz88vLy5PJZErtqgmFQnd398f+38fExKR3795PPR3d1tZWX1//2GyWyWTXr18/e/ZsXV3d7du3H2nz27Nnz3/b7u6Y06ampp3/cYB9GIapqqqiKCopKem9995TV1I6ODgIBILk5OSEhITGxsaUlBRkMICO0NLrCFetWrVr1y6CL0Plcrnh4eEbNmzQ9ETt7e0NDQ1PXkzLZDKZTNbW1tbxQktLy3/b7u742+7du2v6RwAiUlNTV69evXHjxtjYWE2Mn5GRsXz58tTU1Pj4eE2MDwDK0tJdTD6fn56eXlNTo5ZdNWXV1NRUVVWp0AlEBUZGRjY2NjY2Nk/+tvb29rt37z42m+vq6qRS6YULFxQfP3jwoOOFPXr0eMIJsoe/Ku67g77Iz89fvXp1UlKShtKXoqjY2NjGxsaEhARXV9dH7uwAABFaWgHX1dU5OTmtX79+xYoVWpjuEenp6e+++25VVZXeNShgGKaxsfGfCf3PhbVcLu94oZmZ2RNOkD38wNzcHBuSxMlkMh6P5+npKRAINPqvg2GYgICA0tJSiUSCc9EAxGkpgCmKioiIOHXq1LVr11R4I2FXtLW1ubi4jBkzZufOndqcV5sYhmlqanryprfit62trR0vNDU1ffJDWYpfLSwskNOaExYWVlhYKJFItLA/VF1dzePx/Pz8cnNzNT0XADyZ9gL4p59+eumllwoKCnx8fLQzo0JBQYGfn99PP/304osvanNeHcQwTHNz8xMW0w9z+pGWYd26dXvyQ1mKD3r27ImcVpZAIAgKCsrJyVHhZZ2qycnJiYyMFAgEAQEB2pkRAB5LewHMMAyfz7e1tS0qKtLa/6YZhvH29r59+3ZZWRmyofOam5sVJ8WevKT+888/O15lYmLy5BNkil979eql5V0QncUwjLu7u52dnfb/o5DJZEKhEP9RABCkvVYSNE0nJSUFBgbm5eVp7S/7ubm5x44d0/StNfYxNzc3Nzd/8usBKIp62NXksVH9+++/K377SA8WY2NjGxubpy6praysWJ/TJSUlFy5cKCgo0OafT5qmly5d6ufnd+bMGWwLARCkvRWwAm53GaDW1tbbt2//2zL64Sfv3r3b8SrFefKnLqn1unWoygcjrl+/np6efvTo0erqag6HM2zYsGnTps2fP7+TLVoN4WAEgO7TdgDjwCf8G7lc/khLssdG9SNv4tPf1qEqPxpw6NChqVOnmpqaRkZGurm5yeXykydPfvfdd7Nnz/700087OYj+PhoAwBraDmCKovLz84ODg5OSkhITEzU3S1JSUnJy8j+bWYK+U7QOfWqrk9u3bz9yIanWoffv39+0aVNISMizzz7b8fN79uwJDQ2trq5WajeooqJi+PDhXC63uLi444XXrl07dOjQkiVLOjlOTU2No6Pjnj17pk6d2vnZAUCNCAQwhaY/oHmK1qFPfYT69u3bj/wnoPbWoSUlJaNHj+7WrVt8fHxcXNzDXWLV2sNFRUVt27bt1KlTL730klIX/pPW2sMBwGORCWCGYVavXp2WlpaYmJiYmKjGvWiGYZKTk5OTk+Pj49H2Fp6qra2toaHhqfveMpnskRbfnW8devDgQX9/f4qijIyMHB0dP/74Y39/f5qmX3vttZ49e+7bt0+pgrlcrqmp6fXr17v+swcFBTU1NR07dqzrQwGACsjcFaNpOiUlxdLSMiEh4dy5c+p68Ut1dfWCBQsOHjyYlpYWFxfX9QGB9YyNjRUr2sGDBz/h29rb2+/cufNvO96VlZXnz59XfPxIi+8ePXo8XCu3t7dLpdLAwMChQ4d+++23586dU3YH6O7du1VVVeq6q8Ln8zdv3swwDP6eCkAEsWMpNE3Hx8e7urouWLDA1dU1MzMzPDxc5f8RMAyjePWpqakp7vuC2hkZGVlbW1tbW7u4uDzh2xiGUbT47hjVhw4dKi4u7rjVdPHixYyMjIaGBh6Pp1QZioPilpaWqv0Uj3Bzc6uvr6+trX3qq8AAQBMInwsNDAwcM2ZMTExMZGTkzp07ly5dOmnSJKUeyWhrazty5MjmzZuPHTsWFhaWmZn51BchAGgITdO9evXq1atXx/NWt27dOn78uOJjU1PT8PDwqKgoGxub7du3KxulPXv2pCjqkeeqVWZhYUFR1CNdzwBAa8g3OrC1tc3Ly8vPz5fJZH5+foMGDVK8N+mpF9bU1KSnp7u4uPj5+clkMoFAkJubi/QFXdPS0tLe3j548OAPP/zwjz/++M9//uPu7q54eQaHw1FqqJ49ezo6OorFYrUUppj9kfbgAKA1ZA5hPRbDMGfOnMnKytq9e7dcLudyuXw+n8/nu7m5WVhYcDgcuVze1NQkFouFQmFZWVlVVZWpqWloaGh0dLSnpyfuY4FuunnzZmVlJZ/P7/hH9MaNG87OzkePHp0wYYJSoy1YsODTTz89ffr06NGju1jY0aNHvb29b9y40b9//y4OBQAq0KEAfqiuru748eNlZWVCoVAoFD7SeMHKyorP53t4ePD5fC8vL7QRAH1069atPn367N27Nzg4WKkLr1+//vzzz/fv37+4uLhPnz4dP3/w4MHOPwdMUdS+ffumTJly8+ZN3AMGIEK3egMp2NnZTZ06VdEfgGGY2tralpaW1tZWU1NTMzMze3t7LHZB39nb21tZWUkkEmUD+Nlnn921a1doaOjQoUMfdsI6ffr0N998M3v2bKWGEovF1tbW9vb2Sl0FAOqiiytgAEOg2nPAClevXv3ggw8UvaBNTU2HDx8+ffr0efPmdb49CIXngAFI08UVMIAh8PDw2LVrl2rXuri4dL7t878pKyvT2nvJAOCfyJ+CBjBMfD5fKpV25sC/JtTU1FRVVfH5fCKzAwCFAAYgZfz48RwOh9S7MnNycjgcjpeXF5HZAYDCPWAAglR+H3AX4X3AALoAK2AAYqKjoysqKo4cOaLleY8cOVJRUREdHa3leQGgI6yAAYhhGIbP59va2hYVFWnt4TqGYby9vauqqlavXt2vXz8zMzNzc3Nzc3MzMzM7OzsTExzMBNASBDAASfv37w8MDMzJydHageScnJzIyEg7O7u6urpHvhQaGvr1119rpwwAwBY0AEkBAQEzZ86MiYnRznHo6urqmJiYsLCwb7/99p9r7jFjxmihBgBQwAoYgDCZTMbj8Tw9PQUCgUY3ohmGCQgIKC0tlUgktra269evf/fddx9+1d7evrKyUqlWHgDQFVgBAxBma2u7bdu2AwcOrF27VqMTJScnHzx4MDs729bWlqKouLi4F1544eFN39ra2nHjxp04cUKjNQDAQwhgAPKCgoJSUlKSkpIyMjI0NEVGRkZycnJqampgYKDiMyYmJnl5eYoAfuGFF77//vsHDx6MHTs2KCjo0qVLGioDAP7GAIAOaG9vj4+PpygqMTGxvb1dvSMnJiZSFBUfH//PkbOzs42NjU+cOMEwTFtb265duwYMGGBsbLxgwYKamho1lgEAj0AAA+iK9vb21NRUiqL8/f2rq6vVMmZVVdXkyZMpikpLS/u375HJZB1/e+/evU2bNllbW/fo0SMpKamxsVEtlQDAI3AIC0C3CASCBQsWtLa2ZmZmhoeHq3wsi2GY3NzcmJgYU1PT7OzshzvPnVRfX5+WlpaZmWllZZWcnPzWW2/hEWEA9cI9YADdEhgYKJFIfH19IyMjvb29CwoK2tvblRqhra2toKDA29s7MjLSz8+vvLxc2fSlKMra2jo9Pf3y5cve3t5RUVHDhg0TCAT4+zqAGiGAAXSOra1tXl5efn6+TCbz8/MbNGhQenp6Zx4UrqmpSU9Pd3Fx8fPzk8lkAoEgNzfXxsZG5Ur69++/c+dOoVDI5XKDgoLGjRt35swZlUcDgI6wBQ2guxiGOXPmTFZW1u7du+VyOZfL5fP5fD7fzc3NwsKCw+HI5fKmpiaxWCwUCsvKyqqqqkxNTUNDQ6Ojoz09PdX4VDHDMEVFRStWrBCJRFOnTk1NTR00aJC6BgcwTAhgAD1QV1d3/PjxsrIyoVAoFAobGho6ftXKyorP53t4ePD5fC8vLzs7Ow2V0dbWlpubu2bNmps3b0ZFRa1Zs8be3l5DcwGwHgIYQM8wDFNbW9vS0tLa2mpqampmZmZvb6+1dzlQFNXS0rJ169a0tDSKouLi4pYsWWJubq612QFYAwEMAKqoq6tbv359VlZW7969161bFxkZaWxsTLooAH2CQ1gAoAo7O7stW7ZcvHjx5ZdffvPNN0eOHHn48GH8hR6g8xDAAKC6Z599dvfu3SUlJVZWVj4+Pq+//vq5c+dIFwWgHxDAANBVo0aN+vHHH/fv319dXc3n88PDw3/77TfSRQHoOgQwAKgBTdP+/v6//PJLdnb2999/P3jw4BUrVtTX15OuC0B34RAWAKhZU1PTpk2b0tPTORzO6tWrFy1ahNcMA/wTAhgANOKPP/5Yu3btp59+2q9fv5SUlOnTpxsZYcsN4G/47wEANKJv375ZWVlisXjEiBFhYWEvvPBCcXEx6aIAdAgCGAA0aMiQIfv27Ttx4gSHw3nttdd8fX1FIhHpogB0AgIYADRuzJgxp0+f/uabb65evTpixIi33nqrqqqKdFEAhCGAAUAbaJoOCQmRSCRbt27dv3+/i4vL6tWr7969S7ouAGJwCAsAtO3u3bvp6embNm3q0aNHYmLi/PnzORwO6aIAtA0rYADQtp49e65fv/7KlSsBAQExMTE8Hu/bb7/FYgAMDQIYAMjgcrmff/75zz//7OLiMnXq1JdeeunkyZOkiwLQHgQwAJA0bNiwgoKCY8eOyeXyV155JSgo6NKlS6SLAtAGBDAAkPfaa6+Vlpbm5eVduHDBzc0tKirqjz/+IF0UgGbhEBYA6JB79+5lZWWtX79eLpevXLly2bJlFhYWpIsC0AgEMADonPr6+tTU1MzMTBsbm+Tk5DfffNPExIR0UQBqhi1oANA51tbWH3zwweXLl1977bUFCxYMGzZs//79WC0AyyCAAUBHDRgwIDc3VygUOjo6BgYGvvrqq2fPniVdFIDaIIABQKe5u7sfO3assLCwvr5+1KhRoaGh169fJ10UgBoggAFA19E0PWnSpPPnz2/fvv3UqVNDhw5955136urqSNcF0CU4hAUA+qS5uXnr1q1paWk0TcfHxy9ZssTMzIx0UQCqQAADgP6pra1dv359VlZW3759161bFxERYWxsTLooAOVgCxoA9I+9vf3WrVsvXrw4evToOXPmuLu7HzlyBMsJ0C8IYADQV4MGDdqzZ09JSUnPnj0nTZrk7e19/vx50kUBdBYCGAD026hRo/773//m5+dXVlby+fzIyMjffvuNdFEAT4cABgC9R9N0YGCgWCz+5JNPioqKnnvuuZUrV9bX15OuC+BJcAgLAFilqakpIyPjgw8+4HA4a9asefvtt01NTUkXBfAYCGAAYKGamprk5OTPPvusX79+qampoaGhRkbY8APdgj+RAMBCDg4O27ZtE4lEzz///MyZMz09PY8fP066KID/gQAGANYaOnRofn7+jz/+aGxsPH78+MmTJ4vFYtJFAfwFAQwALDd27NiSkpI9e/ZcunTp+eefnzt3blVVFemiAHAPGAAMhlwuz87OTk5Obm5uXrZs2cqVK3v27Em6KDBcCGAAMCx37tx5//33N2/ebGlpmZiYOH/+/G7dupEuCgwRtqABwLD06tUrNTX16tWrkydPXrx4MY/H++6777AUAe1DAAOAIeJyudu3b79w4cKzzz4bEhLy8ssvnzp1inRRYFgQwABguIYPH15YWHj06NF79+6NGTNmypQply9fJl0UGAoEMAAYugkTJpSVleXm5gqFQh6PFx0dffPmTdJFAfvhEBYAwF/u3bv30UcfpaSkPHjwYOXKlcuWLevRowfpooC1EMAAAP/j9u3bqampH374oY2Nzdq1a+fMmWNiYkK6KGAhbEEDAPwPGxubjRs3Xr58efz48fPnzx8+fPiBAwewVgG1QwADADzGgAED8vLyysrK+vbtGxAQ4OXlVVpaSrooYBUEMADAv+Lz+d9//31BQYFMJvP09Jw+ffqvv/5KuihgCQQwAMCT0DTt4+Nz4cKFzz///MSJE0OGDFm6dKlMJiNdF+g9HMICAOis5ubmLVu2bNiwwcjIKD4+PiYmxszMjHRRoK8QwAAAyqmtrV27du22bdv69u27fv368PBwY2Nj0kWB/sEWNACAcuzt7T/88MPy8vIXX3xx9uzZfD6/qKiIdFGgfxDAAACqcHFx+eabb06fPm1hYTFx4kRvb+8LFy6QLgr0CQIYAEB1o0ePPnHixL59+3777Td3d/dZs2b9/vvvpIsC/YAABgDoEpqmg4KCxGJxVlbW4cOHBw8evGrVqoaGBtJ1ga7DISwAALVpbGzcuHHjxo0bu3fv/u6770ZFRZmampIuCnQUAhgAQM1qamqSkpI+++yz/v37p6amTps2zcgI243wKPyZAABQMwcHh+zsbJFINGzYsBkzZowaNeqHH34gXRToHAQwAIBGuLq6CgSCH374gaZpLy8vf39/iURCuijQIQhgAAANGjdu3JkzZ3bv3l1eXj58+PB58+ZVV1eTLgp0Au4BAwBoQ2tr67Zt29atW9fc3BwbG7ty5UpLS0vSRQFJCGAAAO1paGh4//33t2zZYmlpmZSUNG/evG7dupEuCsjAFjQAgPZYWVmlpaVduXLF19d30aJFPB5v7969WAgZJgQwAIC29evXb8eOHefPnx84cOAbb7wxZsyY06dPky4KtA0BDABAxvPPP3/48OGioqLm5uaXX375jTfeuHLlCumiQHsQwAAAJL3++utCoXDnzp2lpaWurq5vv/32rVu3SBcF2oBDWAAAOuHevXsffvhhSkpKW1vbqlWrli5d2qNHD9JFgQYhgAEAdIhMJktJSfnoo4/s7OzWrl07e/ZsExMT0kWBRmALGgBAh9ja2m7atOny5cuvvvrqvHnzRowYcejQIayUWAkBDACgc5ydnXft2lVaWmpvbz958uTx48eXlZWRLgrUDAEMAKCjPDw8iouLDx48eOvWrRdeeGHGjBkVFRWkiwK1QQADAOgumqb9/Px+/vnnzz777Mcff3zuueeWLVsmk8lI1wVqgENYAAD64c8//9y8efP7779vbGyckJCwePFiMzMz0kWB6hDAAAD65NatW2vXrs3OznZwcEhJSQkLCzMywl6mXsK/NgAAfdK7d++PPvpIIpF4enpGRkby+fyjR4+SLgpUgQAGANA/gwcP/vbbb0+dOmVubu7t7T1p0qSff/6ZdFGgHAQwAIC+eumll06ePLl3796KioqRI0fOnj27srKSdFHQWQhgAAA9RtN0cHCwWCz++OOPCwsLBw8eHBcX19DQQLoueDocwgIAYInGxsYPPvggIyPDzMzs3XffjYqK4nA4pIuCf4UABgBglerq6qSkpM8//3zAgAGpqanTpk2jaZp0UfAY2IIGAGAVR0fHTz/99JdffnF1dZ0+ffqoUaN+/PFH0kXBYyCAAQBYiMfjHThw4Pjx4wzDvPrqqwEBAeXl5aSLgv+BAAYAYK1XX331zJkzX331lVgsHjZs2Pz582tqakgXBX/BPWAAAPZrbW395JNP1q1bd+/eveXLly9fvtzS0pJ0UYYOAQwAYCgaGho2bNiwZcuWXr16JSUlzZ07t1u3bqSLMlzYggYAMBRWVlYbNmy4cuXKpEmT3n777WHDhuXn52MZRgoCGADAsDzzzDNffvnluXPnnnnmmeDg4FdeeeWnn34iXZQhQgADABiiESNGFBUVHTlypKmp6aWXXgoJCbl69SrpogwLAhgAwHB5e3sLhcIvv/zy7Nmzrq6uixcvvnXrFumiDAUOYQEAANXS0pKZmZmamsowzKpVq5YuXWpubk66KJZDAAMAwF/q6upSUlI+/vhje3v7devWzZo1y9jYmHRRrIUtaAAA+Iudnd3mzZsvXbo0duzYt956a8SIEQUFBVinaQgCGAAA/sfAgQO/+uqrs2fP2tra+vn5vfbaa0KhkHRRLIQABgCAx3jhhReOHz9+4MCBP/74w8PDIywsrKKignRRrIIABgCAx6NpevLkyb/88sunn35aXFw8ZMiQ2NjY27dvk66LJXAICwAAnu7PP//ctGlTenq6iYnJ6tWrFy1a1L17d9JF6TcEMAAAdNbNmzfXrl2bnZ3t5OSUkpIyc+ZMIyPspKoI/+AAAKCz+vTp8/HHH0skEj6fHxER4eHhcezYMdJF6SsEMAAAKOe5557bu3fvyZMnu3fv/vrrr/v4+Pzyyy+ki9I/CGAAAFDFyy+/fOrUqe++++769esjRoyYM2eOVColXZQ+QQADAICKaJqeMmWKRCL58MMPDx065OLikpCQcOfOHdJ16QccwgIAADW4e/fuBx98kJGRYW5u/t577y1cuJDD4ZAuSqchgAEAQG2qqqoSExO/+OKLAQMGpKWlTZ06laZp7UzNMExtbW1zc7NcLudwOObm5vb29lqbXQUIYAAAUDOxWBwXF3fo0CFPT8+NGze+8sorGpqorq6uuLhYKBSWlZWdO3euoaGh41etrKzc3d09PDz4fP748ePt7Ow0VIZqEMAAAKARx48fX7FihVAoDAgI2LBhw9ChQ9U1MsMwJSUlWVlZe/bskcvlXC5XkbI8Hs/S0pLD4cjl8sbGRolEoshmqVTK4XBCQ0Ojo6NHjRqlK8tiBgAAQDPa2tp27do1YMAAIyOj+fPn19TUdH3M/Pz8ESNGUBTl7Oycnp5eXV391Euqq6vT09OdnZ0piho5cqRAIOh6GV2HAAYAAM26d+/epk2brK2te/TokZiY2NjYqNo4dXV1M2fOpChqwoQJBQUFbW1tSl3e1tZWUFAwYcIEiqJmzpxZV1enWhnqgi1oAADQhvr6+rS0tMzMTCsrq+Tk5LfeesvExKTzl+fn5y9cuFAul2dmZoaFham8jcwwTG5ubkxMjKmp6bZt24KCglQbp+vwHDAAAGiDtbV1enr65cuXvb29o6Ki3NzcFFvBT72QYZjU1NTg4GBPT0+JRBIeHt6Vm7g0TUdERJSXl3t6egYHB6elpZFaiCKAAQBAe/r3779z506hUNivX7+goKCxY8eWlJQ84fsZhklISFi9enVSUpJAIHBwcFBLGQ4ODgKBIDExUTE4mQwmuP0NAAAGq729/fDhw8OGDaMoKiQk5OrVq4/9tpSUFIqiNm7cqKEyNm7cSFFUamqqhsZ/AgQwAAAQ8+DBgx07dnC5XBMTk8WLF9+6davjV/ft20dRVFJSkkZrSExMpCgqPz9fo7P8Ew5hAQAAYS0tLVu3bk1LS6MoKi4ubsmSJebm5jKZjMfjeXp6CgQCjT65yzBMQEBAaWmpRCKxtbXV3ESPQAADAIBOqKurW79+fVZWVu/evdetW3f06NHDhw9LJBJ13fd9gurqah6P5+fnl5ubq+m5HkIAAwCADrl+/XpCQsKePXsoisrJyQkPD9fOvDk5OZGRkQKBICAgQDszIoABAEC3MAwzdOhQLpd79OhRbb7LwdvbWyaTCYVC7UyKx5AAAEC3lJSUXL58OTY2VptNm2maXrp06fnz58+cOaOdGRHAAACgW7KyspydnSdOnNj5S3bs2EF30Lt3by8vr8LCQqXmnThxorOzc1ZWlpL1qggBDAAAOqSurm7Pnj1RUVFGRkon1Nq1a3Nycnbu3Lly5cra2lpfX9+DBw92/nJjY+OFCxfu3r27rq5O2alVgAAGAAAdUlxcLJfLVTt75ePjEx4eHhERsXz58hMnTnTr1u2rr75SaoSIiAi5XH78+HEVZlcWAhgAAHSIUCjkcrldf/TIysrKzMxMqfc9UBTl4ODg5OQkFAq7OHtnKFcZAACARpWVlXl4eKh27Z07dxQvGbx169aHH37Y1NSkwkraw8OjrKxMtQKUggAGAABdwTDMuXPnYmNjVbtc8a5fBVNT0+3bt7/++uvKDsLn8zdv3swwjKbPYCOAAQBAV9TW1jY0NPB4PNUu//jjjwcPHkxR1M2bN3Nzc+fOnWtpaTllyhSlBnFzc6uvr6+tre3du7dqZXQSAhgAAHRFc3MzRVGWlpaqXe7p6flw+3rGjBkjR45ctGjR5MmTORxO5wexsLCgKKqlpUW1GjoPh7AAAEBXyOVyiqKUyst/Y2Rk5OXlVVNTc/XqVaUuVMze2tra9RqeDAEMAAC6QhF+ihjuugcPHlAU1dTUpNRVitlNTU3VUsMTIIABAEBXmJubUxTV2NjY9aHu379fVFTE4XCGDh2q1IWKwDYzM+t6DU+Ge8AAAKAr7O3traysJBJJcHCwCpcXFhZeunSJoqhbt27t2rXr6tWrcXFxPXv2VGoQsVhsbW1tb2+vQgFKQQADAICuoGna3d1d5T4Y7733nuKD7t27Dxky5JNPPlmwYIGygwiFQnd3dy28BwJb0AAAoENU64Mxe/ZspoOWlpbz588vXLhQhRztSicQpSCAAQBAh/D5fKlUWlNTQ2T2mpqaqqoqPp+vhbkQwAAAoEPGjx/P4XByc3OJzJ6Tk8PhcLy8vLQwF80wjBamAQAA6KSIiIhTp05du3ZNhTcSdkVbW5uLi8uYMWN27typhemwAgYAAN0SHR1dUVFx5MgRLc975MiRioqK6Oho7UyHFTAAAOgWhmH4fL6trW1RUZEWTiM/nNTb2/v27dtlZWXamRQrYAAA0C00TSclJR07diwvL09rk+bm5h47diwxMVFrkY8VMAAA6KKwsLDCwkKJROLg4KDpuaqrq3k8np+fnzYPfyGAAQBAF8lkMh6P5+npKRAINLoqZRgmICCgtLRUIpHY2tpqbqJHYAsaAAB0ka2t7bZt2w4cOLB27VqNTpScnHzw4MHs7Gxtpi+FAAYAAJ0VFBSUkpKSlJSUkZGhoSkyMjKSk5NTU1MDAwM1NMW/QS9oAADQXfHx8U1NTcuXL29sbFTvCSmGYZKTk5OTk+Pj4+Pi4tQ1bOchgAEAQHfRNJ2SkmJpaZmQkHDu3Lns7Gy1nMmqrq5esGDBwYMH09LSiKQvhS1oAADQcTRNx8fH5+fnnz171tXVNScnpyvHhxmGycnJ4fF4paWl+fn5pNKXQgADAIBeCAwMlEgkvr6+kZGR3t7eBQUF7e3tSo3Q1tZWUFDg7e0dGRnp5+dXXl6u/fu+HSGAAQBAP9ja2ubl5eXn58tkMj8/v0GDBqWnp3fmvUk1NTXp6ekuLi5+fn4ymUwgEOTm5trY2Gih5ifAc8AAAKBnGIY5c+ZMVlbW7t275XI5l8vl8/l8Pt/Nzc3CwoLD4cjl8qamJrFYLBQKy8rKqqqqTE1NQ0NDo6OjPT09tdbr6skQwAAAoK/q6uqOHz9eVlYmFAqFQmFDQ0PHr1pZWfH5fA8PDz6f7+XlZWdnR6jMx0MAAwAAGzAMU1tb29LS0traampqamZmZm9vryOL3cdCAAMAABCAQ1gAAAAEIIABAAAIQAADAAAQgAAGAAAgAAEMAABAAAIYAACAAAQwAAAAAQhgAAAAAhDAAAAABCCAAQAACEAAAwAAEIAABgAAIAABDAAAQAACGAAAgAAEMAAAAAEIYAAAAAIQwAAAAAT8H8GDuTUO/9MlAAAAAElFTkSuQmCC
B
multiple choice
graph theory
undergraduate
252
252
1
Is the left graph isomorphic with the right graph? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
253
253
1
Is the left graph isomorphic with the right graph? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
254
254
1
Is the left graph isomorphic with the right graph? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
255
255
1
The tree shown in image reserves an expression. Calculate this expression and output the result.
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
895
float
graph theory
undergraduate
256
256
1
Find the longest path length in the following directed acyclic graph.
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
327
float
graph theory
undergraduate
257
257
1
Find the shortest path length in the following directed acyclic graph.
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
89
float
graph theory
undergraduate
258
258
1
Give the Prüfer code of the following graph. Please answer in the format like '[1, 2, 3, 4, 5]'
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
[3, 2, 3, 3, 6]
text
graph theory
undergraduate
259
259
1
The tree shown in image reserves an expression. Calculate this expression and output the result.
iVBORw0KGgoAAAANSUhEUgAAArwAAAJYCAIAAAAPDaKAAABgAElEQVR4nO3dfVwTV74/8DOgIaB0hYCrbm8rKtCltigIFbeweuu9gm2xXZ9ar90tdne14ANEsK+9VrsLtFsVhWTFK24Nbltbq1YU+AHaR4haREF8AFFB3dpSuyatFUkQkszvj9llKUIIeZgzM/m8/+iLhknmO3pO/ObMzCcMy7IEAAAAYCAetAsAAAAAcUDTAAAAADZB0wAAAAA2QdMAAAAANkHTAAAAADZB0wAAAAA2QdMAAAAANkHTAAAAADZB0wAAAAA2QdMAAAAANkHTAAAAADZB0wAAAAA2QdMAAAAANkHTAAAAADZB0wAAAAA2QdMAAAAANkHTAAAAADZB0wAAAAA2QdMAAAAANkHTAAAAADZB0wAAAAA2QdMAAAAANkHTAAAAADYZQrsAABAQlmU7Ozs7Ojo6OztlMplcLpfJZAzD0K4LAAQBTQOAW7NYLJcvX679l7q6ura2tp4b+Pr6RkRERP5LcHCwhwdWKAHcFMOyLO0aAICClpaW7du3FxYW6vV6QkhQUBDXFowZM8bb21smk3V2dhqNxtbWVq6fuHr1KiFEoVAkJSUtW7Zs/PjxtI8AAPiGpgHAvZjN5rKysm3btlVUVPj7+yclJc2aNSsiIkKhUFh/ol6vr6urq6ioKCws/P777+Pj45OTk2fPnu3p6clP5QBAHZoGADdy9OjRl1566dKlS1FRUSkpKQsWLPD29h7sixiNxg8++GDbtm0nT54MCQnZuXPn448/7opqAUBocG4SwC0YDIa0tLS4uDiFQlFTU1NTU/Ob3/zGjo6BEOLt7f3iiy/W1NScOHFCoVDExcWlpaUZDAan1wwAQoOVBgDpO3r0aFJS0ldffZWdnZ2amurEEwpmszkvL+/VV1/9j//4D41GgyUHAGnDSgOAxP3lL3+Ji4sLDAysr69fvXq1cy9B8PT0XL16dX19fUBAQFxc3F/+8hcnvjgACA2aBgDJYlk2Kytr5cqVaWlpWq02NDTURTsKDQ3VarVpaWkrV67Mzs7G+iWAVCGnAUCysrOz169f//rrr//hD39wdUCTp6dnTk6Ov7//q6++Sgjh/gsAEoOmAUCa1Gr1+vXrs7Oz//d//5efPTIMs3btWpZl161b95Of/GTFihX87BcAeIMLIQEk6OjRo9xNDTk5OTyHQLMsm56enpubW1VVhesiASQGTQOA1BgMhvDw8JEjR1ZVVVFJXjKbzbGxsTdv3jxz5oyPjw//BQCAi+BCSACpWbt27VdffaXRaGhlNXp6ehYWFl6/fh1XNgBIDJoGAEnRarUqlSo7O9t190rYIjQ0NDs7Oy8v7+jRoxTLAADnwukJAOkwm81hYWEBAQH2nZgYO3bs9OnTd+3a5axiYmNj9Xp9Y2Mjvp8CQBqw0gAgHWVlZZcuXcrLyxPCP9Kenp55eXmXLl0qLy+nXQsAOAeaBgDp2LZtW1RUVFRUlI3bV1RU6HS6/n577ty5M2fOOFJPdHT0lClTtm3b5siLAIBwoGkAkIiWlpaKiork5GQbt799+/bChQsfeuihwsLCXqcpDQbDK6+8EhERkZqa6mBVycnJFRUVLS0tDr4OAAgBmgYAidi+fbu/v//ChQtt3P6+++775JNPJk6cuGTJkunTp1+4cIF7/P/9v/8XFhaWk5Pz61//+r333nOwqoULF44YMaKgoMDB1wEAIcCFkABSYLFYRo4c+eKLL+bk5Az2uYcOHXrllVeuXr1KCJHJZHfu3Jk1a9amTZseeeQRp9S2evXqv/3tb//4xz88PPApBUDcMIcBpODy5ct6vX7WrFl2PHfOnDn19fWPPfZYZ2fnnTt3MjIyKioqnNUxEEJmzZql1+ubm5ud9YIAQAuaBgApqK2tJYRERkba8dzS0tKIiIgTJ07IZLLhw4dv2rRp9uzZDQ0NzqqNq4qrEABEDU0DgBTU1tYGBQX5+/sP6ln19fVPPPHE008/HRgYWF9fP3r06Llz55aUlDQ2NoaHhy9btuzbb791vDaFQjF27Fg0DQASgKYBQApqa2sHu8zQ1tb2y1/+8syZMzt37vz8889//vOfc48/9dRTjY2NSqVy586dzz//vFPKi4yMRNMAIAFoGgBEj2XZurq6wTYNvr6+e/bsaWpqWrJkSa9vwvTx8dm4cWNdXV1ubq5TKuSaBlx2DSB2Q2gXAACO6uzsbGtrGzNmzGCfmJCQYOW3TrwWcsyYMW1tbV1dXTKZzFmvCQD8w0oDgOh1dHQQQry9vWkX0i+uNq5OABAvrDQAiF5nZychxPEP8deuXXNCNX3hart7966LXh8A+IGVBgDR4/5J5loHYeJq8/Lyol0IADgETQOA6MnlckKI0WikXUi/uNq4OgFAvNA0AIieTCbz9fVtbW2lXUi/WltbfX19hw4dSrsQAHAImgYA0WMYJiIiQshBCFyMRK8bOwFAdNA0AEiBwNOT7MieAgABQtMAIAWRkZFXr1797rvvaBfSB71ef+3aNTQNABKApgFACoT8pVCOfJkWAAgKmgYAKQgODlYoFIcPH6ZdSB8OHz6sUCgmTJhAuxAAcBSaBgAp8PDwSEpKKiwsFNqNlwaDobCwcMmSJR4eeLcBED1MYwCJWLZs2XfffffBBx/QLuRHPvjgg1u3bi1dupR2IQDgBAy+dw5AMhISEvR6fU1NDe1C/i0qKiowMLCsrIx2IQDgBFhpAJCO5OTkkydPnjx5knYh/1RTU3Pq1Knk5GTahQCAc2ClAUA6zGZzWFiYQqHQarWenp7Ui4mNjdXr9Y2NjdSLAQCnwEoDgHR4enru3Lmzuro6Ly+Pdi0kNze3urpao9GgYwCQDKw0AEhNWlra9u3b6+vrQ0NDadXQ1NQ0adKk5OTkLVu20KoBAJwOTQOA1BgMhvDw8MDAQFonKbgTEzqdrr6+3sfHh/8CAMBFcHoCQGp8fHwKCwurq6vXrFnD/6cClmUzMjK4ExPoGAAkBk0DgAQ9/vjjKpVqy5Ytb7zxBs+7fv3113Nzc1Uq1eOPP87zrgHA1YbQLgAAXGLFihW3bt169dVXCSH/+7//y8PXUrMs+/rrr69bty4rK2vFihWu3h0A8A/XNABIlsFgeOihh65fv65UKjdu3OjS6xvMZvOaNWu2bNny2muvvfbaazz0KADAP5yeAJAms9n8wgsv6HS61atX5+bmxsbGXrx40UX7ampqevzxx3Nzc4cOHXr+/Hl8FAGQKjQNANKUkZFx8ODBPXv25OTkVFVV3bx5c9KkSZs3bzabzU7ci9lszsnJmTRpkl6vr6qq2rdv34EDBzIyMpy4CwAQEBYAJIcLd9q6dWv3I+3t7ampqQzDxMTE1NTUOGUvJ06ciImJYRgmLS2tvb2de/Avf/kLIUSlUjllFwAgKGgaAKTmwIEDDMOkp6ff+yutVhsSEkIImTJlSmFhocFgsOP1DQaDRqOZMmUKISQkJESr1fbaYPXq1QzDFBUV2fHiACBkuBASQFKqq6tnzJjx9NNP79mzx8Ojj/OPZrO5vLx827ZtFRUVI0aMSEpKio+Pj4iIUCgU1l9Zr9fX1tYePny4sLDw1q1b8fHxycnJCQkJ915fabFYFi5cWFpa+tlnn02dOtVpxwYAtKFpAJCO5ubmmJiY0NDQjz/+WC6XW9+4paWloKBAo9Ho9XpCyNixYyMjIyMjI8eMGePt7S2TyTo7O41GY2tra21tbW1t7bVr1wghCoViyZIlS5cuHT9+vJUX7+jomDlz5sWLF6urq61vCQAigqYBQCJ0Ol1MTIyHh8fx48cHXDboZrFYmpububbg1KlTdXV1bW1tPTfw9fWN7GHChAl9LmDcS6/Xx8TEEEKOHz8eEBAw2MMBAAFC0wAgBUaj8Yknnmhubq6urh43bpzdr8OybFdXV0dHx927d728vORy+dChQ+0OXWhpaYmJiQkODv7444+9vb3trgoABAJNA4Domc3mBQsWlJeXf/7559HR0bTL+ZETJ07MmDFj9uzZe/futXGJAgAEC3MYQPS6IxmE1jEQQh577LH3338f4Q0A0oCmAUDcVCpVbm6uWq1OTEykXUvf5syZo1art2zZolaradcCAA7BF1YBiFhRUVFaWlp6enpKSgrtWqxZvnz5tWvXUlNTH3jggWeeeYZ2OQBgJ1zTACBWA0YyCArCGwAkAE0DgCgNKpJBIBDeACB2aBoAxMe+SAYhQHgDgKgJfUkTAHoxGo2JiYk//PBDeXm5uDoGQohCoSgvL79169acOXOMRiPtcgBgcNA0AIiJ2WxevHhxfX19aWmpIyFOFI0fP76kpOT06dMvvPCCxWKhXQ4ADAKaBgAxEXIkg+0Q3gAgUmgaAERD+JEMtkN4A4AYIacBQBzEEslgO4Q3AIgO7p4AEAFxRTLYDuENAOKCpgFA6MQYyWA7hDcAiAiaBgBBE28kg+0Q3gAgFtJZ5wSQHlFHMtgO4Q0AYoGmAUCgJBDJYDuENwCIApoGAIGSRiSD7RDeACB8aBoAhEhKkQy2Q3gDgMAhpwFAcKQXyWA7hDcACBnungAQFqlGMtgO4Q0AgoWmAUBApB3JYDuENwAIE5oGAKFwh0gG2yG8AUCA3HHxE0CA3CSSwXYIbwAQIDQNAPS5VSSD7RDeACA0aBoA6HO3SAbbIbwBQFDQNABQ5p6RDLZDeAOAcCCnAYAmd45ksB3CGwAEAndPAFCDSAbbIbwBQAjQNADQgUiGwUJ4AwB1aBoAKEAkg30Q3gBAF1ZEAfiGSAa7IbwBgC40DQC8QiSDgxDeAEARmgYAXiGSwXEIbwCgBU0DAH8QyeAsCG8AoAI5DQA8QSSDcyG8AYB/uHsCgA+IZHAFhDcA8AxNA4DLIZLBdRDeAMAnNA0AroVIBldDeAMAb7BMCuBCiGTgAcIbAHiDpgHAVRDJwBuENwDwA00DgKsgkoFPCG8A4AGaBgCXQCQD/xDeAOBqyGkAcD5EMtCC8AYAl8LdEwBOhkgGuhDeAOA6aBoAnAmRDEKA8AYAF0HTAOA0iGQQDoQ3ALgC1k4BnAORDIKC8AYAV0DTAOAEiGQQIIQ3ADgdmgYAJ0AkgzAhvAHAudA0ADgKkQxChvAGACdCTgOAQxDJIHwIbwBwFtw9AWA/RDKIBcIbAJwCTQOAnRDJIC4IbwBwHJoGAHsgkkGMEN4A4CAsqAIMGiIZRArhDQAOQtMAMDiIZBA1hDcAOAJNA8DgIJJB7BDeAGA3NA0Ag4BIBmlAeAOAfZDTAGArRDJICcIbAOyAuycAbIJIBulBeAPAYKFpABgYIhmkCuENAIOCpgFgAIhkkDaENwDYDqusANYgkkHyEN4AYDs0DQD9QiSDm0B4A4CN0DQA9AuRDO4D4Q0AtkDTANA3RDK4G4Q3AAwIOQ0AfUAkg3tCeAOAdbh7AqA3RDK4M4Q3AFiBpgHgRxDJAAhvAOgPmgaAf0MkA3AQ3gDQJyy9AvwTIhmgG8IbAPqEpgGAEEQywD0Q3gBwLzQNAIQgkgH6gvAGgF7QNAAgkgH6hfAGgJ6Q0wDuDpEMYB3CGwC64e4JcGuIZABbILwBgIOmAdwXIhnAdghvACBoGsBtIZIBBgvhDQBYjwV3hEgGsAPCGwDQNIDbQSQD2A3hDeDm0DSA20EkAzgC4Q3gztA0gHtBJAM4DuEN4LaQ0wBuBJEM4CwIbwD3hLsnwF0gkgGcC+EN4IbQNIBbQCQDuALCG8DdoGkA6UMkA7gOwhvArWCRFiQOkQzgUghvALeCpgGkDJEMwAOEN4D7QNMAUoZIBuAHwhvATaBpAMlCJAPwCeEN4A6Q0wDShEgG4B/CG0DycPcESBAiGYAWhDeAtKFpAKlBJAPQhfAGkDA0DSApiGQAIUB4A0gVVm5BOhDJAAKB8AaQKjQNIBGIZABBQXgDSBKaBpAIRDKA0CC8AaQHTQNIASIZQJgQ3gASg5wGED1EMoCQIbwBpAR3T4C4IZIBhA/hDSAZaBpAxBDJAGKB8AaQBjQNIFaIZABxQXgDSACWc0GUEMkAooPwBpAANA0gPohkAJFCeAOIHZoGEB9EMoB4IbwBRA1NA4gMIhlA7BDeAOKFnAYQE0QygDQgvAFECndPgAuxLNvZ2dnR0dHZ2SmTyeRyuUwmYxjGvldDJANIibPCG5w7ywCsQ9MAzmSxWC5fvlz7L3V1dW1tbT038PX1jYiIiPyX4OBgG//5RyQDSI994Q2um2UAA0LTAM7R0tKyffv2wsJCvV5PCAkKCuLesMaMGePt7S2TyTo7O41GY2trK/dOd/XqVUKIQqFISkpatmyZ9XdMRDKAVA0qvMGlswzAJiyAA0wmU3FxcXx8PCHE399/9erVR44c0el0Az5Rp9MdOXJEqVT6+fkRQuLj44uLi00m071bGgyGmJiYwMDAlpYWFxwBAGXNzc2BgYHTpk0zGAx9bsDDLAOwEZoGsJ9Wqw0JCSGEREVF7dq1q7+3POsMBkNhYWFUVBQhJCQkRKvV9vytyWT61a9+5e3tfeLECSdVDSA41dXV3t7ec+fONZvNvX7FwywDsB2aBrBHe3t7amoqwzAxMTE1NTVOec0TJ07ExMQwDJOamtre3s49mJaW5uHhcejQIafsAkCwDh48yDCMUqnsfoS3WQZgOzQNMGharXbChAlyuTwnJ8e5S50mkyknJ0culwcHB2u12ry8PELI1q1bnbgLAMH6y1/+QghRqVQsj7PMia8M7gBNAwyOWq3mPvo0NTW5aBdNTU3chyFCSHp6uov2AiBAq1evZhjmt7/9LW+zTK1Wu2gXIEloGsBWFoslMzOTEKJUKl19LZXJZFIqlYSQzMxMi8Xi0n0BCIfJZAoLC+N5lmVlZWGWgY2QCAm2ys7OXr9+/euvv/6HP/zB1dExnp6eOTk5/v7+r776KsMwr776qkt3ByAQb7zxRmNjI/+zjBCCWQY2od21gDioVCpCSHZ2Ns/7zcrKIoRgBRXcAWYZCB+aBhiYVqvlruvmfw3TYrEolUqGYXDFFkgbZhmIAhIhYQAGgyE8PHzkyJFVVVWenp78F2A2m2NjY2/evHnmzBkfHx/+CwBwNcwyEAsEksMA1q5d+9VXX2k0GirvZYQQT0/PwsLC69ev45wrSBVmGYgFmgawRqvVqlSq7Ozs0NBQimWEhoZmZ2fn5eUdPXqUYhkAroBZBiKC0xPQL7PZHBYWFhAQQGvJtFcxsbGxer2+sbGRejEAzoJZBuKClQboV1lZ2aVLl/Ly8oTw9uHp6ZmXl3fp0qXy8nLatQA4DWYZiAtWGqBfCQkJer2+pqaGdiH/FhUVFRgYWFZWRrsQAOfALANxwUoD9K2lpaWioiI5OZl2IT+SnJxcUVHR0tJCuxAAJ8AsA9FB0wB92759u7+//8KFC2kX8iMLFy4cMWJEQUEB7UIAnACzDEQHTQP0wWKxFBYWJiUleXt7067lR3x8fJKSkjQajcVioV0LgEMwy0CM0DRAHy5fvqzX62fNmkW7kD7MmjVLr9c3NzfTLgTAIZhlIEZoGqAPtbW1hJDIyEjahfSBq4qrEEC8MMtAjNA0QB9qa2uDgoL8/f2d/sp//OMfGYaZPn263a+gUCjGjh2LtzMQOxfNMsenGMEsg/6haYA+1NbWCvMDECcyMhJvZyB2mGUgRmgaoDeWZevq6oT/doaIERAvzDIQKTQN0FtnZ2dbW9uYMWNoF9KvMWPGtLW1dXV10S4EwE6YZSBSaBqgt46ODkKI0G4D64mrjasTQIwwy0Ck0DRAb52dnYQQmUxGu5B+cbXdvXuXdiEAdsIsA5FC0wC9cW8W3JuaMHG1eXl50S4EwE6YZSBSaBqgN7lcTggxGo20C+kXVxtXJ4AYYZaBSA2hXQAIjkwm8/X1bW1tdfB1GIbp71eVlZV9/rawsPDFF18c8JVbW1t9fX2HDh3qSHkAFDlllrluihHMMugHVhqgN4ZhIiIihHyLNneDu5V3TACBwywDkcJKA/QhMjKyqKjIwRc5d+7cvQ9u27bt//7v/6ZMmVJYWHjvb++//35bXrm2tnbu3LkOlgdAl+OzzHVTjGCWQT/QNEAfIiMjt2zZ8t133zmScTtx4sR7Hxw5ciQhZNiwYX3+1hZ6vf7atWtCTsUBsIXjs8xFU4xglkH/cHoC+iDkr6sR8tf8ANgOswzECE0D9CE4OFihUBw+fJh2IX04fPiwQqGYMGEC7UIAHIJZBmKEpgH64OHhkZSUVFhYKLRbwgwGQ2Fh4ZIlSzw8MHRB3DDLQIwwJqBvy5Yt++677z744APahfzIBx98cOvWraVLl9IuBMAJMMtAdNA0QN/Gjx8fHx+/bds22oX8yLZt2+Lj48ePH0+7EAAnwCwD0UHTAP1KTk4+efLkyZMnaRfyTzU1NadOnUpOTqZdCIDTYJaBuDD4unToj9lsDgsLUygUWq3W09OTejGxsbF6vb6xsZF6MQDOglkG4oKVBuiXp6fnzp07q6ur8/LyaNdCcnNzq6urNRoN3stASjDLQFyw0gADSEtL2759e319fWhoKK0ampqaJk2alJycvGXLFlo1ALgOZhmIBZoGGIDBYAgPDw8MDKS1fMotmep0uvr6eh8fH/4LAHA1zDIQC5yegAH4+PgUFhZWV1evWbOG/xaTZdmMjAxuyRTvZSBVmGUgGiyADdRqNSEkOzub5/1mZWURQtRqNc/7BeAfZhkIH5oGsFVmZib3jmaxWHjYncVi4d7LsrKyeNgdgBBgloHAoWkAW1kslt///veEEKVSaTKZXLovk8mkVCr5fPcEEILuf8Uxy0CY0DSArS5fvhwQEDBu3DiGYWJiYpqamly0owsXLkydOpVhGKyXgntSq9UMw0ydOpWHWTZs2LDm5mYX7QWkBxdCgk10Ol1CQoJCoTh58mRVVdXNmzcnTZq0efNms9nsxL2YzeacnJzw8HC9Xl9VVbVixQonvjiAWKxYsaKysvL8+fOPPvqoi2bZpEmT9Hp9SUnJz372s4SEBJ1O58RdgJTR7lpABAwGQ0xMzMiRI1taWrhH2tvbU1NTuSWHmpoap+zlxIkTMTExDMMQQrZu3eqU1wQQqR07dhBCnn32WRfNsrS0tPb2dpZlW1paAgMDp02bZjAYnLILkDY0DTAAk8n0q1/9ytvb+963La1WGxISQgiZMmVKYWGhfW86BoNBo9FMmTKFEBISEqLVapOSku67777r1687o3wA8fnyyy99fX2XLFnCumyW9fztiRMnvL29586dazabnXMAIF1oGmAAaWlpHh4ehw4d6vO3JpOppKQkISGBYRg/Pz+lUnnkyBGdTjfgy+p0usOHDyuVSj8/P4ZhEhISSkpKuCu/vvvuu9GjR8+ePRsXZ4Ebslgss2fPHj169Pfff8894opZ1suhQ4c8PDyUSqVzjwWkB4mQYI1KpUpNTd26dWtKSor1LVtaWgoKCjQajV6vJ4SMHTs2MjIyMjJyzJgx3t7eMpmss7PTaDS2trbW1tbW1tZeu3aNEKJQKJYsWbJ06dJe38NbXFw8Z86cd955Z/HixS47OAAheuedd379618fOnQoMTGx16+cO8t6yc/PX758uUqlWrlypcsODkQPTQP0q6ioaO7cuenp6Rs3brTxKRaLpbm5mXvDOnXqVF1dXVtbW88NfH19I3uYMGGCh0ffV+MuWrSooqKisbFx1KhRjh4JgEjcuHEjLCwsISFh9+7d/W3jxFnWS0ZGxubNmw8cOPDMM884eCAgVWgaoG/V1dUzZsxITEx8//33bXzHuRfLsl1dXR0dHXfv3vXy8pLL5UOHDuUudRyQTqcLCwuLi4vbv3+/fXsHEBeWZefOnXv06NHGxsaAgADbn2X3LOvFYrE899xzJSUln3322dSpU+14BZA8NA3Qh+bm5piYmIceeuijjz6Sy+W0yti7d+/ChQv37ds3b948WjUA8Gbfvn0LFizYu3fv/PnzadXQ0dExc+bMixcvVldXWz+dAe4JTQP0ptPpYmJiPD09jx8/7u/vT7ES7oPXsWPHGhoabP/gBSBG3NJabGzs/v377VsncBa9Xj9t2jSWZY8fP455B70g3Al+xGg0JiYm3r59u6ysjG7HQAhhGCY/P7+rqys1NZVuJQCutmrVKpPJlJ+fT7djIIQoFIry8vJbt27NmTPHaDTSLQaEBk0D/JvZbF68eHF9fX1paem4ceNol0MIIaNHj87Ly9u9e3dJSQntWgBcpbi4+L333lOpVAK57HfcuHGlpaWnT59+4YUXLBYL7XJAQHB6Av5NqVSqVKqioqJ77/WiiGXZJ5988syZMw0NDSNGjKBdDoCT3bp1KywsbPLkyaWlpdSXGXoqLi5+9tlnU1NTN2/eTLsWEAqsNMA/qVSq3NxctVotqI6BEMIwTEFBQVtbW3p6Ou1aAJxv9erV7e3tBQUFguoYCCGJiYlqtXrLli1qtZp2LSAYdDKlQGAOHDjAMExGRgbtQvpVUFBACDly5AjtQgCc6fDhw4SQHTt20C6kX+np6QzDFBUV0S4EBAGnJ8A5kQyuxrLszJkzW1pazp075+vrS7scACdoa2ubOHFicHDwRx99JLRlhm4Ib4Ce0DS4O4FEMtjiypUrjzzySFJS0tatW2nXAuAEKSkpu3btOn/+fFBQEO1arEF4A3RD0+DWhBPJYCO1Wr1q1arKysq4uDjatQA4pLKycvr06Wq1esWKFbRrGRjCG4CDpsF9GY3GJ554oqWl5YsvvhDIDZYDslgscXFx33777ZkzZ3x8fGiXA2Ang8Hw6KOPjho1qqqqSrDnBHu5cuXK1KlTg4ODP/74Y29vb9rlAB3iGKzgdAKMZLCFh4fHzp07r1+/vn79etq1ANhv3bp1X3/9tUajEUvHQBDeAIQQNA1uKyMj4+DBg3v27ImKiqJdy+CEhoZmZmbm5uZWV1fTrgXAHtXV1bm5uZmZmSEhIbRrGZzo6Og9e/YUFRVlZGTQrgXowOkJd6RSqVJTU7du3ZqSkkK7FnuYTKaYmJj29vbTp097eXnRLgdgEDo6OiIiIoYPH378+PEhQ4bQLsce+fn5y5cvV6lUK1eupF0L8A0rDW6nqKgoLS0tIyNDpB0DIWTIkCEajaa5uTkrK4t2LQCDk5WV1dzcrNFoRNoxEEJSUlLS09NTU1MPHjxIuxbgG1Ya3IsoIhlslJmZmZmZefLkycmTJ9OuBcAmdXV10dHRr7322rp162jX4hCEN7gtNA1uRESRDLbo7OyMiopiGObkyZNDhw6lXQ7AACQ2YhHe4J7E/VkTbKfT6RISEhQKxaFDhyTQMRBCZDKZRqM5f/78hg0baNcCMLANGzY0NDRoNBoJdAyEELlcfujQIX9//4SEBJ1OR7sc4AmaBrdgNBoTExNv375dVlYmihAnG0VGRq5ZsyYzM7OhoYF2LQDWnD9/Pisr65VXXomIiKBdi9MoFIry8vJbt27NmTPHaDTSLgf4gNMT0mc2mxcsWFBeXl5ZWSm6GywH1NHRMXnyZF9fX/Feiw6SZzKZpk2bdufOnbq6Omms8/VUU1Mzffr02bNn7927V+xXSsGA8BcsfeKNZLCFXC7XaDSnTp3Ky8ujXQtA33Jzc0+dOqXRaKTXMRCEN7gbWl+vCfzg/indunUr7UJcKy0tTS6XX7x4kXYhAL01NTV5eXkplUrahbgW9zVyKpWKdiHgWjg9IWVFRUVz585NT0/fuHEj7Vpci0vyHz16dGVlJRZIQTi4b0u5cePG2bNnJf9tKRkZGZs3bz5w4MAzzzxDuxZwFby9SlZ1dfWiRYvmz5//5ptv0q7F5Xx8fN56662jR49u27aNdi0A/5afn3/s2LGdO3dKvmMghGzYsGHevHnPP/88It4lDCsN0iSxSAYbJScnv/322+fOnQsKCqJdCwC5evXqxIkTX3zxxfz8fNq18AThDZKHpkGCdDpdTEyMp6fn8ePHpXSD5YDa2tomTpwYHBz80UcfMQxDuxxwayzLzpw5s7m5+fz5876+vrTL4Y9er582bRrLssePHw8ICKBdDjgZTk9IjVQjGWzh6+u7Y8eOTz75ZOfOnbRrAXf31ltvffrpp3/961/dqmMgCG+QOqw0SIq0IxlstGTJkg8//LChoeH++++nXQu4qevXrz/88MPz58932/4V4Q1Shb9LSZF2JIONNm/ePGzYsKVLl6IhBipYll22bNnw4cM3b95MuxZqEN4gVWgapEOlUuXm5qrV6sTERNq10OTn57d9+/aysrLdu3fTrgXc0bvvvltWVrZ9+/YRI0bQroWmxMREtVq9ZcsWtVpNuxZwGpyekAj3iWSw0aJFiyoqKhobG0eNGkW7FnAjN27cCAsLS0hIQM/KQXiDxKBpkILq6uoZM2YkJia+//77OH3I0el0YWFhcXFx+/fvp10LuAuWZefOnXv06NHGxkbcOMCxWCzPPfdcSUnJZ599NnXqVNrlgKPQNIiee0Yy2GLv3r0LFy7ct2/fvHnzaNcCbmHfvn0LFizYu3fv/PnzadciIAhvkBI0DeLmtpEMtuA+9h07dqyhoQEf+8DVuMWt2NjY/fv3IyakF4Q3SAaWskXMnSMZbMEwTH5+fldXV2pqKu1aQPpWrVplMpny8/PRMdwL4Q2SgaZBrMxm8+LFi+vr60tLS8eNG0e7HIEaPXp0Xl7e7t27S0pKaNcCUlZcXPzee++pVCpceNufcePGlZaWnj59+oUXXrBYLLTLATvh9IRYKZVKlUpVVFTk5jdYDohl2SeffPLMmTMNDQ1ufgscuMitW7fCwsImT55cWlqKZQbriouLn3322dTUVHcOsRA1rDSIEiIZbMcwTEFBQVtbW3p6Ou1aQJpWr17d3t5eUFCAjmFACG8QPRbE5sCBAwzDZGRk0C5ETAoKCgghR44coV0ISM3hw4cJITt27KBdiJikp6czDFNUVES7EBg0nJ4QGUQy2Idl2ZkzZ7a0tJw7d87dvkAIXAdfrGofhDeIF5oGMUEkgyOuXLnyyCOPJCUlbd26lXYtIBEpKSm7du06f/58UFAQ7VpEBuENIoWmQTQQyeA4tVq9atWqysrKuLg42rWA6FVWVk6fPl2tVq9YsYJ2LaKE8AYxQtMgDkaj8Yknnmhpafniiy9wg6XdLBZLXFzct99+e+bMGR8fH9rlgIgZDIZHH3101KhRVVVVOFFotytXrkydOjU4OPjjjz/29vamXQ4MDGNdBBDJ4CweHh47d+68fv36+vXradcC4rZu3bqvv/5ao9GgY3AEwhtEB8NdBDIyMg4ePLhnz56oqCjatYheaGhoZmZmbm5udXU17VpArKqrq3NzczMzM0NCQmjXInrR0dF79uwpKirKyMigXQsMDKcnhE6lUqWmpm7dujUlJYV2LRJhMpliYmLa29tPnz7t5eVFuxwQmY6OjoiIiOHDhx8/fnzIkCG0y5GI/Pz85cuXq1SqlStX0q4FrMFKg6AVFRWlpaVlZGSgY3CiIUOGaDSa5ubmrKws2rWA+GRlZTU3N2s0GnQMTpSSkpKenp6amnrw4EHatYA1WGkQLkQyuFRmZmZmZubJkycnT55MuxYQjbq6uujo6Ndee23dunW0a5EahDeIApoGgUIkg6t1dnZGRUUxDHPy5MmhQ4fSLgdEAGPG1RDeIHz4/CpEOp0uISFBoVAcOnQIHYOLyGQyjUZz/vz5DRs20K4FxGHDhg0NDQ0ajQYdg4vI5fJDhw75+/snJCTodDra5UAf0DQIjtFoTExMvH37dllZGUKcXCoyMnLNmjWZmZkNDQ20awGhO3/+fFZW1iuvvBIREUG7FilTKBTl5eW3bt2aM2eO0WikXQ70htMTwmI2mxcsWFBeXl5ZWYkbLHnQ0dExefJkX19fXAkPVphMpmnTpt25c6eurg6LfzyoqamZPn367Nmz9+7diyu6BAV/GcKCSAaeyeVyjUZz6tSpvLw82rWAcOXm5p46dUqj0aBj4AfCG4SL1tdrwr24f7e2bt1KuxC3k5aWJpfLL168SLsQEKKmpiYvLy+lUkm7ELfDfbecSqWiXQj8G05PCEVRUdHcuXPT09M3btxIuxa3w32PwOjRoysrK7EWCj1x31dy48aNs2fP4vtK+JeRkbF58+YDBw4888wztGsBQnB6QiCqq6sXLVo0f/78N998k3Yt7sjHx+ett946evTotm3baNcCwpKfn3/s2LGdO3eiY6Biw4YN8+bNe/7555H7LhBYaaAPkQwCkZyc/Pbbb587dy4oKIh2LSAIV69enThx4osvvpifn0+7FveF8AZBQdNAmU6ni4mJ8fT0PH78OG6wpKutrW3ixInBwcEfffQRwzC0ywHKWJadOXNmc3Pz+fPnfX19aZfj1vR6/bRp01iWPX78eEBAAO1y3BpOT9CESAZB8fX13bFjxyeffLJz507atQB9b7311qeffvrXv/4VHQN1CG8QDqw0UINIBmFasmTJhx9+2NDQcP/999OuBai5fv36ww8/PH/+fHSQwoHwBiHAnzs1iGQQps2bNw8bNmzp0qXop90Wy7LLli0bPnz45s2badcC/4bwBiFA00CHSqXKzc1Vq9WJiYm0a4Ef8fPz2759e1lZ2e7du2nXAnS8++67ZWVl27dvHzFiBO1a4EcSExPVavWWLVvUajXtWtwUTk9QgEgG4Vu0aFFFRUVjY+OoUaNo1wK8unHjRlhYWEJCArpGwUJ4A0VoGvhWXV09Y8aMxMTE999/H6flBEun04WFhcXFxe3fv592LcAflmXnzp179OjRxsZGXKUvWBaL5bnnnispKfnss8+mTp1Kuxz3gqaBV4hkEJG9e/cuXLhw37598+bNo10L8GTfvn0LFizYu3fv/PnzadcC1iC8gRY0DfxBJIO4cB86jx071tDQgA+d7oBbXoqNjd2/fz+COoQP4Q1UYHmcJ4hkEB2GYfLz87u6ulJTU2nXAnxYtWqVyWTKz89HxyAKCG+gAk0DH8xm8+LFi+vr60tLS8eNG0e7HLDV6NGj8/Lydu/eXVJSQrsWcK3i4uL33ntPpVLh0lcRGTduXGlp6enTp1944QWLxUK7HLeA0xN8UCqVKpWqqKgIN1iKDsuyTz755JkzZxoaGnADnlTdunUrLCxs8uTJpaWlWGYQneLi4meffTY1NRW5GjzASoPLIZJB1BiGKSgoaGtrS09Pp10LuMrq1avb29sLCgrQMYgRwht4xYIrHThwgGGYjIwM2oWAQwoKCgghR44coV0ION/hw4cJITt27KBdCDgkPT2dYZiioiLahUgcTk+4ECIZJINl2ZkzZ7a0tJw7dw5fXyQl+GpTyUB4Az/QNLgKIhkk5sqVK4888khSUtLWrVtp1wJOk5KSsmvXrvPnzwcFBdGuBRyF8AYeoGlwCUQySJJarV61alVlZWVcXBztWsAJKisrp0+frlarV6xYQbsWcA6EN7gamgbnMxqNTzzxREtLyxdffIEbLKXEYrHExcV9++23Z86c8fHxoV0OOMRgMDz66KOjRo2qqqrC2UMpuXLlytSpU4ODgz/++GNvb2/a5UgNpoqTIZJBwjw8PHbu3Hn9+vX169fTrgUctW7duq+//lqj0aBjkBiEN7gUZouTZWRkHDx4cM+ePVFRUbRrAecLDQ3NzMzMzc2trq6mXQvYr7q6Ojc3NzMzMyQkhHYt4HzR0dF79uwpKirKyMigXYvU4PSEM6lUqtTU1K1bt6akpNCuBVzFZDLFxMS0t7efPn3ay8uLdjkwaB0dHREREcOHDz9+/PiQIUNolwOukp+fv3z5cpVKtXLlStq1SAdWGpymqKgoLS0tIyMDHYO0DRkyRKPRNDc3Z2Vl0a4F7JGVldXc3KzRaNAxSFtKSkp6enpqaurBgwdp1yIdWGlwDkQyuJvMzMzMzMyTJ09OnjyZdi0wCHV1ddHR0a+99tq6deto1wIuh/AGp0PT4ASIZHBDnZ2dUVFRDMOcPHly6NChtMsBm+BvzQ0hvMG58JnYUTqdLiEhQaFQHDp0CB2D+5DJZBqN5vz58xs2bKBdC9hqw4YNDQ0NGo0GHYP7kMvlhw4d8vf3T0hI0Ol0tMsRPTQNDjEajYmJibdv3y4rK0OIk7uJjIxcs2ZNZmZmQ0MD7VpgYOfPn8/KynrllVciIiJo1wK8UigU5eXlt27dmjNnjtFopF2OuOH0hP3MZvOCBQvKy8srKytxg6V76ujomDx5sq+vL67DFziTyTRt2rQ7d+7U1dVhRdA91dTUTJ8+ffbs2Xv37sWVZ3bDH5z9EMkAcrlco9GcOnUqLy+Pdi1gTW5u7qlTpzQaDToGt4XwBueg9fWaYsf9I7F161bahQB9aWlpcrn84sWLtAuBvjU1NXl5eSmVStqFAH3cF86pVCrahYgVTk/Yo6ioaO7cuenp6Rs3bqRdC9DHfYvB6NGjKysrsewpNNw3hty4cePs2bP4xhAghGRkZGzevPnAgQPPPPMM7VrEB29wg1ZdXb1o0aL58+e/+eabtGsBQfDx8XnrrbeOHj26bds22rVAb/n5+ceOHdu5cyc6BuBs2LBh3rx5zz//PMLg7YCVhsFBJAP0Jzk5+e233z537lxQUBDtWuCfrl69OnHixBdffDE/P592LSAgCG+wG5qGQdDpdDExMZ6ensePH8cNltBLW1vbxIkTg4ODP/roI4ZhaJcDhGXZmTNnNjc3nz9/3tfXl3Y5ICx6vX7atGksyx4/fjwgIIB2OaKB0xO2QiQDWOfr67tjx45PPvlk586dtGsBQgh56623Pv3007/+9a/oGOBeCG+wD1YabIJIBrDRkiVLPvzww4aGhvvvv592LW7t+vXrDz/88Pz589HDgRUIbxgs/BnZBJEMYKPNmzcPGzZs6dKlaMcpYll22bJlw4cP37x5M+1aQNAQ3jBYaBoGplKpcnNz1Wp1YmIi7VpA6Pz8/LZv315WVrZ7927atbivd999t6ysbPv27SNGjKBdCwhdYmKiWq3esmWLWq2mXYsI4PTEABDJAHZYtGhRRUVFY2PjqFGjaNfidm7cuBEWFpaQkIC+DWyH8AYboWmwprq6esaMGYmJie+//z5Od4HtdDpdWFhYXFzc/v37adfiXliWnTt37tGjRxsbG3FJPNjOYrE899xzJSUln3322dSpU2mXI1xoGvqFSAZwxN69excuXLhv37558+bRrsWN7Nu3b8GCBXv37p0/fz7tWkBkEN5gCzQNfUMkAziI+8h77NixhoYGfOTlB7fAExsbu3//fkRlgB0Q3jAgLLn3AZEM4DiGYfLz87u6ulJTU2nX4i5WrVplMpny8/PRMYB9EN4wIDQNvZnN5sWLF9fX15eWlo4bN452OSBio0ePzsvL2717d0lJCe1apK+4uPi9995TqVS4+BQcMW7cuNLS0tOnT7/wwgsWi4V2OYKD0xO9KZVKlUpVVFSEGyzBcSzLPvnkk2fOnGloaMDtf65z69atsLCwyZMnl5aWYpkBHFdcXPzss8+mpqYi6qMXrDT8CCIZwLkYhikoKGhra0tPT6ddi5StXr26vb29oKAAHQM4BcIb+sXCvxw4cIBhmIyMDNqFgNQUFBQQQo4cOUK7EGk6fPgwIWTHjh20CwGpSU9PZximqKiIdiECgtMT/4RIBnAdlmVnzpzZ0tJy7tw5fHmSc+HLRcF1EN5wLzQNhCCSAVzvypUrjzzySFJS0tatW2nXIikpKSm7du06f/58UFAQ7VpAghDe0AuaBkQyAE/UavWqVasqKyvj4uJo1yIRlZWV06dPV6vVK1asoF0LSBbCG3py96bBaDQ+8cQTLS0tX3zxBW6wBJeyWCxxcXHffvvtmTNnfHx8aJcjegaD4dFHHx01alRVVRVOKYJLXblyZerUqcHBwR9//LG3tzftcmhy65mGSAbgk4eHx86dO69fv75+/XratUjBunXrvv76a41Gg44BXA3hDd3cerJlZGQcPHhwz549UVFRtGsBtxAaGpqZmZmbm1tdXU27FnGrrq7Ozc3NzMwMCQmhXQu4hejo6D179hQVFWVkZNCuhSaRnZ5gWbazs7Ojo6Ozs1Mmk8nlcplMZt8l0yqVKjU1devWrSkpKU6vE6A/JpMpJiamvb399OnTXl5etjzFicNeUOw+ro6OjoiIiOHDhx8/fnzIkCE8lArAyc/PX758uUqlWrlypX2vIPbpLPT5ZrFYLl++XPsvdXV1bW1tPTfw9fWNiIiI/Jfg4GBb1iqLiorS0tIyMjLQMQDPhgwZotFoIiMjs7KysrOz+9zGRcOeOmcdV1ZWVnNzc11dHToG4FlKSsq1a9dSU1MfeOCBZ555xpanSGw6C3eloaWlZfv27YWFhXq9nhASFBTE/YGOGTPG29tbJpN1dnYajcbW1lbub+Lq1auEEIVCkZSUtGzZMiv3xiCSAajLzMzMzMw8efLk5MmTez7uumFPlxOPq66uLjo6+rXXXlu3bh214wE3Znt4gzSnM51Mqf6ZTKbi4uL4+HhCiL+//+rVq48cOaLT6QZ8ok6nO3LkiFKp9PPzI4TEx8cXFxebTKZem12+fDkgIODxxx83Go2uOQKAgd29e/fRRx8NDw/v7OxkXT/saXH6cfX6cwOgwmg0/uIXvwgICGhubr73t1KdzhxhNQ1arZa7rCkqKmrXrl0Gg8GOFzEYDIWFhdy1jSEhIVqttvtXN2/enDBhQmhoqF6vd17VAPY4deqUp6dnVlaWq4c9La44rpdeesnT07O2ttbp1QIMik6nCwkJCQ4OvnnzZs/HpTqduwmlaWhvb09NTWUYJiYmpqamximveeLEiZiYGIZhUlNT29vbDQZDTEzMyJEjW1panPL6AA5KT0/38PBw6bB3ymsOloumM7cUHBUVReu4AHpqaWkJDAycNm0a1xnw8K+YU17TQYJoGrRa7YQJE+RyeU5OjnOXYkwmU05OjlwuDw4OjouL8/b2dtbfJYCDtFrt+PHjZTKZS4c9/59R+JnOgvrsBW7rxIkT3t7ec+fOraysdJNhT79pUKvVXGvW1NTkol00NTU99thjhJDf/e53LtoFwKDwM+y5zyhqtdpFu7iXVI8LoD+HDh1iGMZ9hj3NpsFisWRmZhJClEqlq6/1MJlMSqWSEJKVlWWxWFy6LwArpDrspXpcAFa44bCn2TRwf9avv/46P8dvsVi42+KzsrJ42B1An6Q67KV6XABWuOGwp9Y0qFQqQkh2djbP+83KyiKEUF/hAfck1WEv1eMCsMI9hz2dpkGr1TIMo1Qq+V9jsVgsSqWSYRghXFECbkWqw16qxwVghdsOewqJkAaDITw8fOTIkVVVVZ6enjzvnRBiNptjY2Nv3ryJbygG3kh12Ev1uACscOthz3+fkpqaKpfLXXeVqS2ampq8vLzS0tIo1gBuRarDXqrHBWCFOw97vpuGqqoqhmFycnJ43u+9Nm3ahFVN4IdUh71UjwvACjcf9ryenjCbzWFhYQEBAbSWdHoVExsbq9frGxsbqRcDEubgsB87duz06dN37drlrGKcNewxncENYdjz+h2PZWVlly5dysvLo/5nTQjx9PTMy8u7dOlSeXk57VpAyqQ67KV6XABWYNjzutKQkJCg1+tramp42+OAoqKiAgMDy8rKaBcCkjXYYV9RUTFlypSAgADuf3utNJw7d85isYSHhztSklOGPaYzuCEMe/6uaWhubiaEFBYW8rZHW2g0GoZh+vx6UwDHDXbY//DDD/fdd59CodBoNNytXA8++OBvfvMblmXb29vXrFkzZMiQ6dOnO1iV48Me0xncEIY9y+eFkOnp6f7+/vZ9T6jrtLe3+/n5ZWRk0C4EpMmOYX/y5Mlf/vKXhJC4uLjGxkauaSgtLX3wwQc9PDyWLFnS2trqYFWOD3tMZ3BDGPYsb02D2WxWKBSrV6/mZ3eDolQqFQqF2WymXQhIjSPD/uDBg6GhoTKZTCaTDR8+nBAya9ass2fPOqs2R4Y9pjO4IQx7Dk8XQl6+fFmv18+aNYuf3Q3KrFmz9Ho9t+4E4ESODPs5c+bU19c/9thjnZ2dd+7cycjIqKioeOSRR5xVmyPDHtMZ3BCGPYenpqG2tpYQEhkZOeCWzEBmzJhh/RWWLVvGbTl27FhbauOq4ioEcCLbh/29SktLIyIiTpw4wa00bNq0afbs2Q0NDc6qzZFhP6jjGuyMrqysXLt27axZs4KDg/38/IYOHTpy5MgZM2ao1Wqj0ejS4wKwwr7p/NFHHy1YsODBBx+Uy+Xe3t7jxo37n//5n8rKyj43bmtr++Mf//jII48MHz78Jz/5SVRU1ObNmzs7OwfcC6/DnofVDJZllUplUFCQLVv+tB/+/v5cwdbP3Hz66acMw3BbPvjggzaWN3bsWGEuOoGo2T7sezp9+vR//ud/kh9f01BSUvLggw96enouXbr0xo0bTinP7mE/qOMa7Ix+8sknu9+dhg0bNmzYsO7/DQoKunjxouuOC8CKwU5ni8WydOnS7tHr7e3t7e3d/b/3Jjleu3at+4Ouj4+Pl5cX9/PkyZO/++67AXfH27DnqWn45S9/OW/ePEdeIScnh/sTtJLc2d7ePn78+KFDh06ZMmVQTcPcuXMdvyIdoBc7hv3t27e5uyd27tx5790TGRkZQ4YMmTFjhlPKs3vYOz6d2f5ndG5urlqtrquru337NveITqdTq9XcG25YWNiAJ24xncEVBjvsNRoNN8LnzZt36dIl7sGmpqY5c+Zwjx84cKB7466uLu7k4+jRoz/66COWZc1m8549e3x9fQkhs2fPHnB3vA17PpoGi8Xi6+v75z//2ZEX+fnPf04Iefzxx61sk5qaSghZu3btb37zm0E1DW+88Yavry//X1YGEmb3sC8rK7t582b3/3Y3DZyzZ8/W19c7pUL7hr1TpjNr24zuqaCggHurPXr0qPUtMZ3B6ewY9tOnTyeETJgwoaurq+fjnZ2d48aNI4Q899xz3Q++9dZb3PA+fvx4z43fe+897vGPP/7Y+u54G/Z8XNPQ2dnZ1tY2ZswYu1/h+PHjFy5cIIT89re/7W+b6upqtVodEhLy6quvDvb1x4wZ09bW1tXVZXeFAL3YPewTEhK6k53u9cgjjziY7NTNvmHv+HQmts3oXqZOncr98NVXX1nfEtMZnM6OYf/NN98QQsLDw4cMGdLz8aFDh06aNIkQcufOne4H//a3vxFCZsyYERMT03Pj5557LigoiBDy9ttvW98db8Oej6aho6ODENLzdM5g7dy5kxDyk5/8ZP78+X1ucPfu3SVLlrAsu2PHDrlcPtjX52rj6gRwCseHvavZN+ydclwDzuh7abVa7ofx48db3xLTGZzOjmHPLSecOXPGZDL1fLyrq6u+vp4Qwp1GJ4QYDIZjx44RQhISEnq9CMMw8fHxhJAjR45Y3x1vw56nlQZCiEwms+/pd+7c2bt3LyHk+eef7++LwzMzMy9cuPDSSy9xqTiDxdV29+5d+yoEuJeDw77btWvXnPVtVb3YN+wdPy5bZnQ3o9F4+fLlN954Y/Xq1YSQuLi47rfa/mA6g9PZMexffvllQkhzc/Pzzz/ffTPkxYsXFyxYcOXKlfHjx6elpXEPXrhwwWKxEEImTpx47+twD964ceO7776zsjvehj0fTQN3MLbcN9KnPXv2cMs4/a1knj59euPGjT/96U83bdpk3y642rqvVgVwnIPDngf2DXvHj2vAGU0IuXHjBndDpo+PT0hIyNq1a+/evfv0008XFRUN+PqYzuB0dgz7p59+Ojc3VyaT7d+/Pzg42MfHx8fH56GHHvr8889ffvnlmpqa++67j9uytbWV++FnP/vZva/T/WD3Zn3ibdjz0TRw5wtsuce6T9wVIuHh4X3eIGsymZYsWWIymdRq9YgRI+zbBVebHec1APrj4LDngX3D3vHjsj6jOZ6entydmd3lzZ8/f+PGjd03alqB6QxOZ9+wT01NPXDgwMiRI7nnck/n4tp++OGH7s3a2tq4H/pceOt+sHuzPvE27HlaafD19bXeJfWnoaHhxIkTpP8PJW+++WZ9ff1TTz21YMECuytsbW319fUdOnSo3a8A0Isjw54f9g17B49rwBnNCQwMvHHjxo0bNwwGw/Xr19euXVtSUvLoo4/u2LFjwF1gOoPT2THsDQbDwoULn3rqqQceeODIkSM3b968efPmkSNHwsLC3nnnnejo6LNnzzqxQt6GPR9NA8MwERER9oVVcR9K5HL54sWL7/1tY2NjVlbW8OHDt23b5kiFtbW1kZGR3alQAI5zZNjzw75h7+BxWZ/Rfe7u/vvvz87O3r17d1dX18svv3zmzBnrT8F0BqezY9hnZGTs3bs3NDRUq9X+13/9V0BAQEBAwH/9139VVVWFhITodLqUlBRuSy6MgRBiMBjufZ3uB7s36xNvw56nGOnIyEg73mU6OzvfffddQsjcuXP7PPWQkpLS2dm5du1aPz+/Oz1wV6uyLMv974B3oXB/3IMtD8A6+4Y9b+we9nYf14Az2opf/epXDzzwgMVi4e68sALTGVxhUMO+ra2NWxVLSUnpdcrA29t7+fLlhJCjR4/+4x//IIR038n59ddf3/tS3Q9av+GTt2HPX9Nw9epV6xd/3uvQoUM6nY70v5J59epVQsgf/vAH3x/bvXs3IeTLL7/k/jc/P9/KXvR6/bVr1/AuA05n37DnhyPD3u7jGnBGW8ddEWb9W3kwncFFBjXsL126xH127fMO4eDgYO4H7p+wn//85x4eHoSQ8+fP37sx9+CoUaOsXNDD57Dnr2kgg/86DW4lc8KECfbdSGkjR75VCMAKIX95kiPD3u7jcmRGsyzLvcMOuEhLMJ3BBQY17LkmgBDy97///d7ffvvtt9wP3GD28fH5xS9+QQipqKjotSXLsocPHyaE/Pd//7eV3fE57HlqGoKDgxUKBXfwNvryyy8//vhjQsiSJUv6O09z7dq1PnMue8VIc/HS/Tl8+LBCoZgwYcIgjgfABnYMe944MuztOy5bZnSvGJyeCgsLb9y4QQjh0nn7g+kMLjKoYf/QQw9xaUtvvfVWr1FtNpu5Mxd+fn6hoaHcg9y/WZ999hl3mXC3ffv2XblyhRDy61//2srueB32rs6p7paenu7v728wGGzc/rXXXiOEDBkypLW1dbD7sv27J9rb2/38/Kx/cyaA3QY77Pnh+LC347hsmdGfffZZbGzs22+/ff369e4HL1269Morr3BZvOPHj7eyU0xncKlBDfsVK1Zw/8jGx8efPXvWbDabzeYzZ850rxn86U9/6t64+wurfvazn3FfM2E2m/fu3ctlOSQkJFjZEc/Dnr+mgTsTWVhYaMvGZrP5gQceIIQkJibasS/bmwaNRsMwTHNzsx17ARjQoIY9bxwf9oM9Lhtn9Geffdb9eUYulwcEBPQM7g0PD7969aqVp2M6g0sNatgbDAYuAZrj5eXVM3np+eefN5lMPbe/evVqz6/G7r58csCvxuZ52PPXNLAsGx8fHxUVZcuW3UtAxcXFduzI9qZhypQp1ps4AAfZPux545RhP6jjsnFG3759+5133nnppZfCw8N/+tOfDhkyZNiwYePHj58/f/6ePXt6vcneC9MZXG1Qw95isezbt2/OnDn333+/TCbz8vL6j//4j7lz55aWlva5/e3bt9evXz9x4sRhw4b5+vpGRkbm5OTcvXvX+l54Hva8Ng3FxcWEkJqaGj53agV39qikpIR2ISBlUh32Uj0uACsw7BmWZe28GmLwzGZzWFiYQqHQarWenp687be/YmJjY/V6fWNjI/ViQMKkOuylelwAVmDY87rSwLKsVqtlGCYnJ4fn/d5r06ZNDMMcPXqUdiEgfVId9lI9LgAr3HzY8900sCybmpoql8ubmpr433W3CxcueHl5paWlUawB3IpUh71UjwvACnce9ryenuAYDIbw8PDAwEBayzvcko5Op6uvr+/zW8UAnE6qw16qxwVghVsPe56bFA63vKNUKi0WC8+7tlgsaWlpDMNotVqedw1uTqrDXqrHBWCF2w57Ok0Dy7JqtZoQkp2dzfN+s7KyCCFqtZrn/QKw0h32Uj0uACvcc9hTaxpYls3MzOT+xPnp1CwWC/dnnZWVxcPuAPok1WEv1eMCsMINhz3NpqH7+JVK5YCxLQ4ymUxKpZLPv12APr3//vvcmUE+h316erqrhz2mM7ghNxz2NJsGjlqtZhgmJibGdVeiXrhwYerUqQzDYBkT6KqqqpLJZIsXL1apVLwNe39//4cffvj777930Y56wnQGN+RWw55+08CyrFarnTBhglwuz8nJcW6zZjKZNm3a5OXlFRwcjEulgK4LFy74+fnNmDGDy4Xlbdj32q+rYTqDG3KfYS+IpoFl2fb29tTUVK5Zc1ZC54kTJ2JiYhiGSUtLa29vd8prAtjnxo0bY8eODQsL6/mJn7dh373Cwc+qJqYzuCE3GfZCaRo4Wq02JCSEEDJlypTCwkL7vlDYYDBoNJopU6YQQkJCQoTQmoGbu3PnzpQpU0aPHv33v//93t/yM+z37NlDCHn11VftOQC7YDqDG5L8sBdW08CyrMlkKikpSUhIYBjGz89PqVQeOXJEp9MN+ESdTnf48GGlUunn58cwTEJCQklJiauvTAEYUFdX11NPPTVs2LC6urr+tuFn2G/cuJEQ8te//tX+gxkkTGdwQ9Ie9hQSIW3U0tJSUFCg0Wj0ej0hZOzYsZGRkZGRkWPGjPH29pbJZJ2dnUajsbW1tba2tra29tq1a4QQhUKxZMmSpUuXjh8/nvIBABDCsmxKSsqOHTu4N5EBt3fpsGdZdvny5QUFBaWlpfHx8U46RJtgOoMbkuSwF27TwLFYLM3Nzdwf6KlTp+rq6tra2npuwH3peLcJEyZ4eHjQqhagl02bNq1Zs2bHjh2/+93vbH+W64a9yWT61a9+9dlnn1VVVU2ePHlwB+MwTGdwQxIb9kJvGnphWbarq6ujo+Pu3bteXl5yuXzo0KEMw9CuC6APH3zwwXPPPbd27drs7GxHXse5w769vX369Olff/11dXX1Aw884EhhDsJ0Bjck9mEvsqYBQCy0Wu3MmTMXLFjw9ttvC+0d4dtvv506deqwYcOOHj06YsQI2uUAgGigaQBwvqampmnTpk2aNKmiokImk9Eupw/CrxAABAhNA4CTcZ/jfXx8jh07JuTP8UJeCwEAYRLu1RYAYtTe3v7UU0/dvXu3vLxcyB0DISQ2Nvbtt99+9913169fT7sWABCHIbQLAJAOk8n03HPPXbhwQavV0r3G0EYLFy788ssv16xZ8+CDD/72t7+lXQ4ACB2aBgDnYFl25cqV5eXlJSUl/N/NaLf09PRr164tW7bs/vvv5zm8AQBEB9c0ADiHfZEMQkA3vAEARARNA4ATOCuSgRbhhDcAgJChaQBwlDRuQ0B4AwAMCE0DgEOkFHggpWMBAFdA0wBgP7FEMthOGqsmAOAiyGkAsJOIIhlsh/AGALACt1wC2EN0kQy2Q3gDAPQHTQPAoIk0ksF2CG8AgD7hmgaAQRNvJIPtEN4AAPdC0wAwOGKPZLAdwhsAoBc0DQCD4G43FyC8AQB6QtMAYCv3jDFwz6MGgD6haQCwifQiGWznbusrANAf5DQADEySkQy2Q3gDAHBwyyXAACQcyWA7hDcAAEHTAGCd5CMZbIfwBgDANQ0A1rhDJIPtEN4A4ObQNAD0y30iGWyH8AYAd4amAaBvuGWgPwhvAHBbaBoA+oBwAuvw5wPgntA0APTmzpEMtsNKDIAbQk4DwI+4eSSD7RDeAOCGcMslwL8hkmFQEN4A4G7QNAD8EyIZ7IDwBgC3gmsaAP4JkQz2QXgDgPtA0wBACCIZHIPwBgA3gaYBADcCOAHCGwDcAZoGcHeIHHAW/EkCSB6aBnBriGRwLqzZAEgbchrAfSGSwekQ3gAgbbjlEtwUIhlcBOENABKGpgHcESIZXArhDQBShWsawB0hksHVEN4AIEloGsDtIJKBHwhvAJAeNA3gXnB5P58Q3gAgMWgawI0gSIB/+DMHkBI0DeAuEMlAC1Z3ACQDOQ3gFhDJQBHCGwAkA7dcgvQhkoE6hDcASAOaBpA4RDIIBMIbACQA1zSAxCGSQTgQ3gAgdmgaQMoQySA0CG8AEDU0DSBZuGhfmBDeACBeaBpAmhAPIGT42wEQKTQNIEGIZBA+rAMBiBFyGkBqEMkgCghvABAj3HIJkoJIBhFBeAOA6KBpAOlAJIPoILwBQFxwTQNIByIZxAjhDQAigqYBJAKRDOKF8AYAsUDTAFKAS/HFDuENAKKApgFEDzf9SwP+HgGED00DiBsiGaQEK0YAAoecBhAxRDJIDMIbAAQOt1yCWCGSQZIQ3gAgZGgaQJQQySBhCG8AECxc0wCihEgGaUN4A4AwoWkA8UEkgztAeAOAAKFpAJHBBfbuA+ENAEKDpgHEBLfyuxv8jQMICpoGEA1EMrgnrC0BCAdyGkAcEMngthDeACAcuOUSRACRDG4O4Q0AAoGmAYQOkQxAEN4AIAy4pgGEDpEMwEF4AwB1aBpA0BDJAD0hvAGALjQNIFy4bB7uhfAGAIrQNIBA4QZ96A/GBgAtaBpAiBDJANZhFQqACuQ0gOAgkgEGhPAGACpwyyUICyIZwEYIbwDgH5oGEBBEMsCgILwBgGe4pgEEBJEMMFgIbwDgE5oGEApEMoB9EN4AwBs0DSAIuBgeHIHwBgB+oGkA+nDbPTgOowiAB2gagDJEMoCzYL0KwNWQ0wA0IZIBnAjhDQCuhlsugRpEMoDTIbwBwKXQNAAdiGQAF0F4A4Dr4JoGoAORDOA6CG8AcBE0DUABIhnA1RDeAOAKaBqAb7jEHfiB8AYAp0PTALzCzfTAJ4w3AOdC0wD8QSQD8A8rWwBOhJwG4AkiGYAKhDcAOBFuuQQ+IJIBKEJ4A4CzoGkAl0MkA1CH8AYAp8A1DeByiGQAIUB4A4Dj0DSAayGSAYQD4Q0ADkLTAC6EC9dBaBDeAOAINA3gKrhFHoQJIxPAbmgawCUQyQBChjUwAPsgpwGcD5EMIHAIbwCwD265BCdDJAOIAsIbAOyApgGcCZEMICIIbwAYLFzTAM6ESAYQF4Q3AAwKmgZwGkQygBghvAHAdmgawDlwOTqIF8IbAGyEpgGcADe+g9hhDAPYAk0DOAqRDCANWC0DGBByGsAhiGQAyUB4A8CAcMul22FZtrOzs6Ojo7OzUyaTyeVymUxm3+cqRDKAxDglvMGJUwxAaNA0SJ/FYrl8+XLtv9TV1bW1tfXcwNfXNyIiIvJfgoODPTwGXoJCJANIkh3hDS6aYgAChGsapKylpWX79u2FhYV6vZ4QEhQUxL1njRkzxtvbWyaTdXZ2Go3G1tZW7s3u6tWrhBCFQpGUlLRs2bLx48dbeXFEMoBU2R7e4NIpBiBELEiOyWQqLi7mPiT5+/uvXr36yJEjOp1uwCfqdLojR44olUo/Pz9CSHx8fHFxsclkunfLPXv2EELWrl3rgvIB6Ltz586UKVNGjx7997///d7f8jDFAIQJTYPUaLXakJAQQkhUVNSuXbsMBoMdL2IwGAoLC6OiogghISEhWq2252+rqqpkMtnixYstFouTqgYQnBs3bowdO/bhhx/+/vvvez7OwxQDECw0DdLR3t6emprKMExMTExNTY1TXvPEiRMxMTEMw6Smpra3t7Mse+HCBT8/vxkzZty9e9cpuwAQrF6jnZ8pBiBkaBokQqvVTpgwQS6X5+TkOHe102Qy5eTkyOXy4ODgQ4cOjR07NiwsrNdnLwCp6l5Xq6qq4mGKYckBBA5NgxSo1Wru009TU5OLdtHU1BQTE0MIue+++/o8ywsgVdwVPPxMMYZh1Gq1i3YB4Djc9iNuLMtmZWWtXLkyLS1Nq9WGhoa6aEehoaFarVapVN6+ffvtt99mcdMNuAeWZS9dukQI4WeKpaWlrVy5Mjs7G1MMBIpuzwIOyszMJIS8/vrr/FyTaLFYuG+wzMrK4mF3ANRhigH0hKZBxFQqFSGE+1DCp6ysLEIIFlFB8jDFAHpB0yBWWq2WYRilUsn/fY8Wi0WpVDIMg4u2QMIwxQDuhURIUTIYDOHh4SNHjqyqqvL09OS/ALPZHBsbe/PmzTNnzvj4+PBfAIBLYYoB9AkXQorS2rVrv/rqK41GQ+XtjBDi6elZWFh4/fr1V199lUoBAC6FKQbQJzQN4qPValUqVXZ2tusu5LZFaGhodnZ2Xl7e0aNHKZYB4HSYYgD9wekJkTGbzWFhYQEBAbRWTXsVExsbq9frGxsbqRcD4BSYYgBWYKVBZMrKyi5dupSXlyeEdxBPT8+8vLxLly6Vl5fTrgXAOTDFAKzASoPIJCQk6PX6mpoa2oX8W1RUVGBgYFlZGe1CAJwAUwzACqw0iElLS0tFRUVycjLtQn4kOTm5oqKipaWFdiEAjsIUA7AOTYOYbN++3d/ff+HChbQL+ZGFCxeOGDGioKCAdiEAjsIUA7AOTYNoWCyWwsLCpKQkb29v2rX8iI+PT1JSkkajsVgstGsBsB+mGMCA0DSIxuXLl/V6/axZs2gX0odZs2bp9frm5mbahQDYD1MMYEBoGkSjtraWEBIZGTmoZ3300UcLFix48MEH5XK5t7f3uHHj/ud//qeysrLXZnq9vrCwcPHixWFhYcOGDfPy8rr//vufeeaZoqIiW/bCVcVVCCBSg51idXV1f/rTnxITEx966CGFQjF06FCFQvGLX/zi9ddf/+677/p71o0bN9atWxcZGenv7+/t7f3ggw/Gx8e/+eabXV1dVvaFKQZCQTnGGmymVCqDgoJs395isSxdurT7L9rb27vnomtaWlrPjYcMGdL9K7lcPmzYsO7/TUhIaG9vH3B3Y8eOXb169aCPCkAwBjvFUlJSes4aX1/f7v8NCAg4fvz4vU/Zs2fPfffd1/2U7p8JId9//7313WGKgRBgpUE0amtrB7XMsGvXLu7KqXnz5l26dMlgMBgMhqampjlz5hBCcnNze64imEym6Ojobdu2tbS0GI3GO3fuXL169aWXXiKElJeX92w++hMZGYmPQSBqg51i0dHRmzZt+uKLL77//nuj0Xj79u22tra//e1vgYGBOp3umWee+eGHH3puv2/fvkWLFt2+ffv3v/99Q0OD0Wj84Ycfbt++XVVVlZaWNnToUOu7wxQDQaDdtYBNLBaLr6/vn//8Z9ufMn36dELIhAkTurq6ej7e2dk5btw4Qshzzz3X/eCnn37a54t0twtffvml9d298cYbvr6+/H8fIIBT2DHF+nP48GFu1rz77rvdD7a2tvr5+RFCNm/ebN/LYoqBEGClQRw6Ozvb2trGjBlj+1O++eYbQkh4eHjPUw+EkKFDh06aNIkQcufOne4HZ8yY0eeLcIsNhJBTp05Z392YMWPa2tqsn5cFECw7plh/pk6dyv3w1VdfdT+oVqu///77yZMnp6Wl2feymGIgBGgaxKGjo4MQMqg7wbjlhDNnzphMpp6Pd3V11dfXE0KmTJky4IvI5XLuB7PZbH1LrjauTgDRsWOK9Uer1XI/jB8/vvvBt99+mxCyePFihmHse1lMMRACNA3i0NnZSQiRyWS2P+Xll18mhDQ3Nz///PPdd2pdvHhxwYIFV65cGT9+vC2feD7//HPuh0ceecT6llxtd+/etb1CAOGwY4r1cvfu3WvXrm3duvWFF14ghEyYMOHpp5/mfnX16tXW1lZCSGRk5Llz5xYtWjR69GjuHqWFCxceO3bMltfHFAMhQNMgDtz7Bfe+ZqOnn346NzdXJpPt378/ODjYx8fHx8fnoYce+vzzz19++eWampqeV2736datW3/+858JIbGxsQN+RzBXm5eXl+0VAgiHHVOsm1wuZxhGLpcHBQWtWLHi+++//8UvfvHJJ590T4dLly5xPxw7dmzKlCnvv//+Dz/8IJfLv/76671798bGxmZlZQ24F0wxEAI0DeLAnSYwGo2DelZqauqBAwdGjhzJPZd7emdn5507d3pd130vi8XywgsvfPPNN3K5fOvWrQPui3vx7tMZAOJi3xTjjBo16qc//Wn3jcozZszIy8t74IEHujf4/vvvuR/WrVs3ZsyYjz76iJuDDQ0N06dPZ1l2/fr1Bw4csL4XTDEQAjQN4iCTyXx9fbkVThsZDIaFCxc+9dRTDzzwwJEjR27evHnz5s0jR46EhYW988470dHRZ8+etfL0VatWlZaWEkLy8/MfffTRAXfX2trq6+s74G1jAMJkxxTrdu3atRs3bty5c+fbb7/Nycmpr6+Pjo5ev3599wbd8c8sy3744YczZ8708PAghISFhZWUlIwaNYoQ8qc//cn6XjDFQBBo374BtvrlL385b94827fnvqkvNDTUaDT2fNxgMISEhBBCHn/88f6eu3r1am545Obm2ri7uXPncp+ZAERqsFOsPydOnOB6gpKSEu6R4uJibkLNnDnz3u27z03cuHHDystiioEQYKVBNAYV7dLW1rZjxw5CSEpKSq/1TG9v7+XLlxNCjh49+o9//OPe565Zs2bz5s2EkJycnNTUVBv3ONhgHAChcVZ6UnR09OOPP04I4eYgIeRnP/sZ98PPf/7ze7cPCwvjfvj73/9u5WUxxUAI0DSIRmRk5NWrV61k2vd06dIl7k7Lnjd9dQsODuZ+uHr1aq9fZWRkbNq0iRCycePG7vWGAen1+mvXruEdDURtUFPMOq5L6L5rKSwszNPTs7+NWZblfrByNyamGAgEmgbRGNQ31nCro6Sfzy7ffvst90PPtHxCSHp6ek5ODiFk48aNGRkZttdm35dpAQiKE78U6sqVK6TH/JLL5XFxcYSQCxcu3LtxY2MjIYRhmLFjx/b3gphiIBBoGkQjODhYoVB0J9Ra99BDD3FRMG+99VavcCez2cytmvr5+fW8kTI9Pb37rMSgOgZCyOHDhxUKxYQJEwb1LABBGdQUM5vN3SsEvXzyySc1NTWEEC7KnZOUlMT9qq6urufGd+7c2bZtGyHkscceCwwM7G93mGIgFLQvqoBBSE9P9/f3NxgMtmy8YsUK7q84Pj7+7NmzZrPZbDafOXPmv//7v7nH//SnP3Vv3N0lbNmyZbBVtbe3+/n5ZWRkDPaJAEJj+xS7evVqeHj49u3bW1paur8P4ssvv/zzn//M3Xvp7+//zTffdG9vNpujo6MJIWPHjv3444+5nqOxsZFLcPfw8Pjkk0/62xemGAgHmgYx4U6RFhYW2rKxwWCIj4/v7g69vLx6xsI8//zzJpOJ27L7FIaHh8dP+7Fp06b+dqTRaBiGaW5udsoxAlBk+xTreT2QTCYLCAjo+YXyQUFBdXV1vZ7yzTffdF/z6OPj85Of/IT7eejQoTt27LCyL0wxEA6G7WeFDYQpISFBr9dzi58DYln2ww8/fPfdd2tra//xj38wDDNy5Mjo6OikpKQnn3yye7Nr164FBQVZf6nXXnvtj3/8Y5+/ioqKCgwMLCsrs/kgAITLxinW2dlZXFz8+eefnzhxorW1VafTeXp6BgYGhoeHz5kzZ9GiRX1+jcXdu3e3bt36wQcfXLp0yWg0jhkz5j//8z/T0tImTpxoZV+YYiAcaBpEpqSkJDExsaamJioqinYthBBSU1Pz2GOPlZSUPPXUU7RrAXACTDEAK9A0iIzZbA4LC1MoFFqt1spNXLwVExsbq9frGxsbqRcD4BSYYgBW4O4JkfH09Ny5c2d1dXVeXh7tWkhubm51dbVGo8HbGUgGphiAFVhpEKW0tLTt27fX19cP+OWTrtPU1DRp0qTk5OQtW7bQqgHARTDFAPqEpkGUDAZDeHh4YGAgrRVUbtVUp9PV19f7+PjwXwCAS2GKAfQJpydEycfHp7CwsLq6es2aNfy3fSzLZmRkcKumeDsDScIUA+gbrXs9wXFqtZoQkp2dzfN+uS/lU6vVPO8XgGeYYgC9oGkQt8zMTO5NrTuTzqUsFgv3dpaVlcXD7gCowxQD6AlNg7h1v8UolcruhEcXMZlMSqWSzzdQAOowxQB6QtMgBWq1mmGYmJiYpqYmF+3iwoULU6dOZRgGS6bghjDFADi4EFIKVqxYUVVVdfPmzUmTJm3evNlsNjvxxc1mc05OzqRJk/R6fVVVVff3YAG4D0wxgH+i3bWA07S3t6empnKfh2pqapzymidOnIiJiWEYJi0trb293SmvCSBSmGIAWGmQDh8fn9zc3KqqKr1eHx0dHRUVtWvXLqPRaMdLGY3GwsLCqKioxx57jPv0s2XLFtz6BW4OUwwA4U4SZDaby8vLt23bVlFRMWLEiKSkpPj4+IiICIVCYf2Jer2+trb28OHDhYWFt27dio+PT05OTkhIQIQtQE+YYuC20DRIWUtLS0FBgUaj0ev1hJCxY8dGRkZGRkaOGTPG29tbJpN1dnYajcbW1tba2tra2tpr164RQhQKxZIlS5YuXTp+/HjKBwAgbJhi4G7QNEifxWJpbm7m3rNOnTpVV1fX1tbWcwNfX9/IHiZMmODhgfNWALbCFAP3gabB7bAs29XV1dHRcffuXS8vL7lcPnToUIZhaNcFIBGYYiBhaBoAAADAJlgiAwAAAJugaQAAAACboGkAAAAAm6BpAAAAAJugaQAAAACboGkAAAAAm6BpAAAAAJugaQAAAACboGkAAAAAm6BpAAAAAJugaQAAAACboGkAAAAAm6BpAAAAAJugaQAAAACboGkAAAAAm6BpAAAAAJugaQAAAACboGkAAAAAm6BpAAAAAJugaQAAAACboGkAAAAAm6BpAAAAAJv8f8LVdCHPUGefAAAAAElFTkSuQmCC
462978
float
graph theory
undergraduate
260
260
1
Is the following directed graph a tournament? choice: (A) Yes (B) No
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
B
multiple choice
graph theory
undergraduate
261
261
1
An object is placed near a plane mirror, as shown above. Which of the labeled points is the position of the image? choice: (A) point A (B) point B (C) point C
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
C
multiple choice
scientific figure
high school
262
262
1
An object is placed near a plane mirror, as shown above. Which of the labeled points is the position of the image? choice: (A) point A (B) point B (C) point C
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
A
multiple choice
scientific figure
high school
263
263
1
An inverse expression is placed near a mirror. The mirror shows its original appearance, but due to the ink dot on the mirror, part of the formula is obscured. Find the value of '?' in this expression.
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
132
float
scientific figure
high school
264
264
1
An object is located a distance from a thin converging lens of focal length f as shown in the diagram below. The distance of the image v from the lens will be ____. choice: (A) f<v<2f (B) v=2f (C) v>2f (D) 0 (No image)
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
D
multiple choice
scientific figure
high school
265
265
1
An object is located a distance 66.0 from a thin converging lens of focal length 32 as shown in the diagram below. Find the distance of the image from the lens.
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
62.1176
float
scientific figure
high school
266
266
1
The velocity vs. time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. At which time the car change the direction to drive?
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
3
float
scientific figure
high school
267
267
1
The velocity vs. time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at the origin x = 0 and the positive velocity represents moving forward. The position of car at t=10s is ____. choice: (A) in front of the start (B) behind the start (C) at the start
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
B
multiple choice
scientific figure
high school
268
268
1
The motion of a car in a straight line is shown in the graph below. After 10 seconds, how far is the car from the starting point?
iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAIAAAC6s0uzAABKhklEQVR4nO3dZ0AU1/818O/SliIgolIEFQtgwxp7j4AEQY2xJFjRaIwlCkpVpHeIShSiiSUolhgRE4MGjWiIDYgaEQsoClEUCwJCWJbdeV5sHv78UCNB2DsL5/NquDvuHBD3OO2OgOM4AgAAAPlSYh0AAACgJUIBAwAAMIACBgAAYAAFDAAAwAAKGAAAgAEUMAAAAAMoYAAAAAZQwAAAAAyggAEAABhAAQMAADCAAgYAAGAABQwAAMAAChgAAIABFDAAAAADKGAAAAAGUMAAAAAMoIABAAAYQAEDAAAwgAIGAABgAAUMAADAAAoYAACAARQwAAAAAyhgAAAABlDAAAAADKCAAQAAGEABAwAAMIACBgAAYAAFDAAAwAAKGAAAgAEUMAAAAAMoYAAAAAZQwAAAAAyggAEAABhAAQMAADCAAgYAAGAABQwAAMAAChgAAIABFDAAAAADKGAAAAAGUMAAAAAMoIABAAAYQAEDAAAwgAIGAABgAAUMAADAAAoYAACAARQwAAAAAyhgAAAABlDAAAAADKCAAQAAGEABAwAAMIACBgAAYAAFDAAAwIACFPDZs2cdHByMjY0FAsGRI0dqxjmO8/HxMTIy0tDQmDBhQk5ODruMAAAA/40CFHB5eXnfvn23bNlSZzw8PHzz5s1xcXEXL17U0tKytbWtrKxkkhAAAOC/EnAcxzpDfQkEgsTExClTphARx3HGxsaurq5r1qwhopKSEgMDg127ds2aNYtxSgAAgHpQgD3g18rLy3v06NGECRNkX+rq6g4ZMuT8+fNsUwEAANSTCusADfTo0SMiMjAwqBkxMDCQDdYhEolEIpFsWSqVPn/+XF9fXyAQyCcnAAA0BY7jysrKjI2NlZQUdU9SUQu4/kJCQvz8/FinAACAxldQUGBiYsI6RQMpagEbGhoS0ePHj42MjGQjjx8/7tev36trenp6uri4yJZLSko6dux4+/btNm3ayCvp24nF4tOnT48bN05VVZV1ln/wMBLxMhUPIxFS1RsPIxEvU/EwEhE9f/7c3NxcW1ubdZCGU9QCNjMzMzQ0PHXqlKx0S0tLL168uHTp0lfXFAqFQqGw9kibNm309fXlk7M+xGKxpqamvr4+f365eRiJeJmKh5EIqeqNh5GIl6l4GKmGQp9PVIACfvnyZW5urmw5Ly/vypUrbdq06dix46pVqwIDA7t3725mZrZ+/XpjY2PZBdIAAAD8pwAFnJGRMW7cONmy7GDyvHnzdu3a5ebmVl5evnjx4hcvXowcOfL48ePq6upMkwIAANSXAhTw2LFjX3uzskAg8Pf39/f3l38kAACAd6SoV28DAAAoNBQwAAAAAyhgAAAABlDAAAAADKCAAQAAGEABAwAAMIACBgAAYAAFDAAAwAAKGAAAgAEUMAAAAAMoYAAAAAZQwAAAAAyggAEAABhAAQMAADCAAgYAAGAABQwAAMAAChgAAIABFDAAAAADKGAAAAAGUMAAAAAMoIABAAAYQAEDAAAwgAIGAABgAAUMAADAAAoYAACAARQwAAAAA4pdwGVlZatWrerUqZOGhsbw4cPT09NZJwIAAKgXxS7gRYsWpaSkxMfHX7t2zcbGZsKECQ8ePGAdCgAA4O0UuID//vvvH374ITw8fPTo0d26dfP19e3WrVtsbCzrXAAAAG+nwAVcXV0tkUjU1dVrRjQ0NNLS0hhGAgAAqCcV1gEaTltbe9iwYQEBAT169DAwMNi3b9/58+e7detWZzWRSCQSiWTLpaWlRCQWi8VisbzjvpksDCK9FQ9T8TASIVW98TAS8TIVDyMR//I0gIDjONYZGu7OnTvOzs5nz55VVlYeMGCAubl5ZmbmjRs3aq/j6+vr5+dXeyQhIUFTU1O+SQEAoDFVVFR88sknJSUlOjo6rLM0kGIXsEx5eXlpaamRkdHMmTNfvnx57Nix2q/W2QM2NTUtLCzU19dnkfT1xGJxSkqKtbW1qqoq6yz/4GEk4mUqHkYipKo3HkYiXqbiYSQievbsmZGRkUIXsAIfgq6hpaWlpaVVXFx84sSJ8PDwOq8KhUKhUFh7RFVVlVe/RjI8TMXDSMTLVDyMREhVbzyMRLxMxbdIvArTMIpdwCdOnOA4zsLCIjc3d+3atZaWlgsWLGAdCgAA4O0U+CpoIiopKVm2bJmlpeXcuXNHjhx54sSJZvB/IgAAaAkUew94xowZM2bMYJ0CAADgP1PsPWAAAAAFhQIGAABgAAUMAADAAAoYAACAARQwAAAAAyhgAAAABlDAAAAADKCAAQAAGEABAwAAMIACBgAAYAAFDAAAwAAKGAAAgAEUMAAAAAMoYAAAAAZQwAAAAAyggAEAABhAAQMAADCAAgYAAGAABQwAAMAAChgAAIABFDAAAAADKGAAAAAGUMAAAAAMoIABAAAYQAEDAAAwgAIGAABgQIELWCKRrF+/3szMTENDo2vXrgEBARzHsQ4FAABQLyqsAzRcWFhYbGzs7t27e/XqlZGRsWDBAl1d3ZUrV7LOBQAA8HYKXMDnzp2bPHmyvb09EXXu3Hnfvn2XLl1iHQoAAKBeFPgQ9PDhw0+dOnX79m0iunr1alpamp2dHetQAAAA9aLAe8AeHh6lpaWWlpbKysoSiSQoKMjJyenV1UQikUgkki2XlpYSkVgsFovFcs36r2RhEOmteJiKh5EIqeqNh5GIl6l4GIn4l6cBBIp74dL+/fvXrl0bERHRq1evK1eurFq1Kjo6et68eXVW8/X19fPzqz2SkJCgqakpx6QAANDIKioqPvnkk5KSEh0dHdZZGkiBC9jU1NTDw2PZsmWyLwMDA/fs2XPz5s06q9XZAzY1NS0sLNTX15dr1n8lFotTUlKsra1VVVVZZ/kHDyMRL1PxMBIhVb3xMBLxMhUPIxHRs2fPjIyMFLqAFfgQdEVFhZLS/53DVlZWlkqlr64mFAqFQmHtEVVVVV79GsnwMBUPIxEvU/EwEiFVvfEwEvEyFd8i8SpMwyhwATs4OAQFBXXs2LFXr16XL1+Ojo52dnZmHQoAAKBeFLiAY2Ji1q9f//nnnxcVFRkbGy9ZssTHx4d1KAAAgHpR4ALW1tbeuHHjxo0bWQcBAAD4zxT4PmAAAADFhQIGAABgAAUMAADAAAoYAACAARQwAAAAAyhgAAAABlDAAAAADKCAAQAAGEABAwAAMIACBgAAYAAFDAAAwAAKGAAAgAEUMAAAAAMoYAAAAAZQwAAAAAyggAEAABhAAQMAADCAAgYAAGAABQwAAMAAChgAAIABFDAAAAADKGAAAAAGUMAAAAAMoIABAAAYQAEDAAAwgAIGAABgQLELuHPnzoL/tWzZMtahAAAA3k6FdYB3kp6eLpFIZMtZWVnW1tbTp09nGwkAAKA+FLuA27VrV7McGhratWvXMWPGMMwDAABQT4pdwDWqqqr27Nnj4uIiEAjqvCQSiUQikWy5tLSUiMRisVgslnfEN5OFQaS34mEqHkYipKo3HkYiXqbiYSTiX54GEHAcxzpDIzh48OAnn3ySn59vbGxc5yVfX18/P7/aIwkJCZqamnJMBwAAjayiouKTTz4pKSnR0dFhnaWBmkkB29raqqmp/fjjj6++VGcP2NTUtLCwUF9fX74B/41YLE5JSbG2tlZVVWWd5R88jES8TMXDSIRU9cbDSMTLVDyMRETPnj0zMjJS6AJuDoeg79+/f/LkycOHD7/2VaFQKBQKa4+oqqry6tdIhoepeBiJeJmKh5EIqeqNh5GIl6n4FolXYRpGHgX84sWLc+fOZWdnP336VCAQtG3btkePHsOGDdPT02uU99+5c2f79u3t7e0b5d0AAADkoAkLuKqqKiEhYdeuXWlpaVKptM6rSkpKI0aMWLBgwccff1xnD/U/kUqlO3funDdvnopKc9ibBwCAFqKpJuKIi4vr0qXLZ599pqOj8+WXX6alpT18+PDvv/+uqKh48OBBWlpadHS0rq7uZ5991rVr16+//rrBGzp58mR+fr6zs3MjhgcAAGhqTbXXGBwcvGbNmgULFujq6tZ5ycjIyMjIaPjw4StXriwtLd2xY0dISMiSJUsatiEbG5vmcR0ZAAC0KE1VwHfv3q3PMWEdHZ1Vq1YtX768iWIAAADwU1Mdgv5PZ2Rx+hYAAFoaeTRfWVnZixcvTE1NZV8+fPgwLi5OJBJNmzZt8ODBcggAAADAN/Io4MWLF+fl5V24cIGISktLhw4d+tdffykpKW3atOn48eNjx46VQwYAAABekcfjCNPS0iZNmiRb3rNnz8OHD8+dO1dcXGxlZRUYGCiHAAAAAHwjjwJ++vRphw4dZMtHjx4dOXLk0KFDtbW1586de/XqVTkEAAAA4Bt5FHDr1q0fPXpERH///fdvv/1mY2MjG1dRUamoqJBDAAAAAL6Rxzng4cOHb9261dLS8vjx45WVlZMnT5aN3759u2bPGAAAoEWRRwGHhYXZ2NhMmzaNiFxdXXv16kVEEonk+++/nzhxohwCAAAA8I08Crhbt263bt3Kzs7W1dXt3LmzbLCiouKrr77q27evHAIAAADwTROeA16+fPnx48dlz+JVVVXt27dvTfsSkba29uTJk2uPAAAAtBxNWMDnz5+3t7fX19d3cHCIjY3Nz89vum0BAAAoliYs4MzMzAcPHmzevFkoFHp6epqZmfXp08fDw+O333579emEAAAALUrT3oZkaGjo7Ox86NChp0+fpqSkTJw48ejRo2PGjGnbtu2sWbP27Nnz9OnTJg0AAADAT/K4D5iIVFRUxo8fHxERkZ2dfffuXX9//7KyssWLFxsaGg4dOvTEiRPyiQEAAMATcirg2jp37rx8+fJjx449f/48KSlp4MCBBQUF8o8BAADAEMvnAKqrq9vb29vb2zPMAAAAwIScCvj+/fu7d+++e/ducXExx3E14wKBICkpST4ZAAAA+EMeBbxv37558+ZVV1e3bt1aV1e39ksCgUAOAQAAAPhGHgXs6elpaWl56NAhc3NzOWwOAACA/+T0OMLPPvsM7QsAAFBDHgU8ZMgQTIMFAABQmzwKeOPGjXv27Dl06JActgUAAKAQ5HEOuE+fPkFBQbNmzdLS0jIxMVFWVq55SSAQXL16VQ4ZAAAAeEUeBbx169YVK1aoq6t37dq1zlXQAAAALZM8Cjg4OHj48OE//fQT2hcAAEBGHueAS0pKnJycmqJ9Hzx4MHv2bH19fQ0NjT59+mRkZDT6JgAAAJqCPPaAx4wZc+3atUZ/2+Li4hEjRowbNy45Obldu3Y5OTl6enqNvhUAAICmII8Cjo2NtbOzCw8PX7hwob6+fmO9bVhYmKmp6c6dO2VfmpmZNdY7AwAwwXFceXl5ZWVleXm5qqoq6zj/EIvFfIvEcdyTJ09Yp3hX8ijgnj17SqVST09PT09PdXX1OldBl5SUNOxtjx49amtrO3369DNnznTo0OHzzz//9NNPX11NJBKJRCLZcmlpKRGJxWKxWNywjTYFWRhEeisepuJhJEKqeuNhpHv37mHOopZDUPvRCE1k/vz5/zLnc80u7H+lrq5ORC4uLtOnT09PT//iiy/i4uLmzZtXZzVfX18/P7/aIwkJCZqamg3bKABAUxCJRD/++OOhQ4cqKytZZ1EkJSUlOjo6rFM0kDwKuImoqakNGjTo3Llzsi9XrlyZnp5+/vz5OqvV2QM2NTUtLCxsxCPh704sFqekpFhbW/Pn8A4PIxEvU/EwEiFVvfEkklQq3b9/v4+Pj2zGQCsrq6lTpy5btoxXP6hff/11/Pjx/IlUXl5uYmJCCl7ALJ8H/I6MjIx69uxZ82WPHj1++OGHV1cTCoVCobD2iKqqKn9+jWrwMBUPIxEvU/EwEiFVvbGN9Ntvv7m6uqanpxORqalpcHDw9OnTjx8/3rp1a/78oMRisbq6Oq8i8SfJu2iq25D27dtXz31rjuP27dvXgE2MGDHi1q1bNV/evn27U6dODXgfAAD5y8nJ+fDDD0ePHp2ent6qVaugoKBbt27Nnj1bSUked4cCHzTV3/SqVavMzc3Dw8Pz8vLetE5ubm5wcHC3bt1Wr17dgE2sXr36woULwcHBubm5CQkJ27ZtW7Zs2TtEBgCQh+fPn69evbpXr16JiYlKSkpLlizJzc318vLS0NBgHQ3kqqkOQd+9e3fjxo1RUVGenp6dO3ceMGCAmZmZnp4ex3HFxcV5eXkZGRkFBQX6+vorV65sWAG/9957iYmJnp6e/v7+ZmZmGzdudHJyavRvBACgsVRVVW3ZsiUgIKC4uJiI7OzsIiIievXqxToXsNFUBaylpeXt7e3u7v7jjz8mJSWdO3fu8OHDsoPSAoGga9euY8aMmTx5soODw7scyp80adKkSZMaLzUAQJPgOO7w4cPu7u537twhoj59+kRFRVlbW7POBSw17UVYKioqU6dOnTp1KhFJJJLnz58TUZs2bWrfCgwA0LxdunTJ1dU1LS2NiAwNDQMDA+fPn4+PQZDfVdDKysrt2rWT2+YAAJi7f/++p6en7DpTDQ2NNWvWuLm5tWrVinUu4AUFvg0JAIC3SkpKQkJCNm7cKBKJBALB3LlzAwMDZbeuAsiggAEAGlN1dfW2bdt8fX1lkxWPGzcuKiqqf//+rHMB76CAAQAaB8dxx44dW7t27c2bN4nIwsIiIiJi0qRJ/zIXL7RkuOMbAKARXLlyZcKECQ4ODjdv3mzbtu1XX3117do1BwcHtC+8CfaAAQDeyYMHD9atW7d7926O49TU1FatWuXl5aWrq8s6F/CdPPaAly5dWvPIBACAZqO8vNzX19fc3HzXrl0cx82aNevWrVthYWFoX6gPeRRwQkLCqFGjunbtumHDhpycHDlsEQCgSUkkkh07dnTv3t3Pz6+iomL48OEXLlzYt29f586dWUcDhSGPAi4qKtq/f3/v3r1DQ0MtLS2HDBmyZcuWp0+fymHTAACN7uTJkwMGDFi4cGFhYWGXLl2+//77tLS0IUOGsM4FCkYeBSwUCqdPn56UlPTo0aOtW7cKhcKVK1d26NBh0qRJBw8exNOnAUBRZGdn29vbW1tb//nnn61bt46MjMzOzv7oo49wpRU0gFyvgtbT01uyZMnZs2fz8vKmTJny888/f/zxx4aGhosWLfrzzz/lmQQA4D8pKipaunSplZXVzz//rKKisnLlytzcXFdX1zqPGweoP3lfBV1QULB37969e/dev35dX19/5syZampqe/bs2bVrV0xMzNKlS+WcBwDg3/39998bN24MCQkpKysjoilTpoSFhZmbm7POBQpPTnvAL1682LZt25gxY8zMzGQXDR4+fPjhw4dfffVVdHR0QUGBo6Ojv7+/fMIAANSHVCpNSEiwtLT08vIqKysbOHBgampqYmIi2hcahTz2gKdOnZqcnFxVVTVkyJCYmJhZs2bp6enVXkEoFH700UdHjhyRQxgAgPpIS0tzcXFJT08nIhMTk5CQkE8++URJCZMXQaORRwFfvnx57dq1c+fO7d69+5vWsba2Pn36tBzCAAD8u9zcXHd398OHDxNRq1atPD09V69eraGhwToXNDfyKOB79+69dZ127dqNGTOm6bMAALzR8+fPAwICtmzZIhaLlZSUFi1a5O/vb2BgwDoXNE/yOJyirKwsexxmHQcOHMAjqQGAD6qqqr788stu3bpt3LhRLBZPnDjx6tWrX3/9NdoXmo489oA5juM47tVxiUSCm+cAgC2O43744Qd3d/c7d+4QUZ8+fSIjI21sbFjnguZPTrchvVq0paWlJ06caNu2rXwCAAC86vbt2xEREb///jsRGRoaBgYGzp8/H0fmQD6a8BC0n5+fsrKysrKyQCCYPXu28v/S09OLj4+fNWtW0wUAAHiT+/fvz5kzx83N7ffff9fQ0Fi/fn1OTs7ChQvRviA3TbgHPHjw4M8//5zjuK1bt1pbW9e+c04gEGhpaQ0cOPDDDz9sugAAAK8qKSkJCQnZuHGjSCSS7R4EBwebmJiwzgUtThMWsJ2dnZ2dHRGVl5d/9tlnmKkcANiqrq7evn37hg0bnjx5QkRjx451dHRcvny5qqoq62jQEsnjKuidO3eifQGAIY7jjh07ZmVl9fnnnz958sTCwuLo0aMnTpzo0qUL62jQcjXVHvB3331HRHPmzBEIBLLlN5k7d24TZQAAIKKrV6+6urqeOnWKiNq2bevr67t48WJVVVWxWMw6GrRoTVXA8+fPFwgEs2bNUlNTmz9//ptWEwgEKGAAaCIPHz5ct27drl27OI5TU1NbtWqVl5eXrq4u61wARE1XwHl5eUSkpqZWs9wUfH19/fz8ar60sLC4efNmE20LABRIeXl5RERERERERUUFEc2cOTMkJMTMzIx1LoD/01QF3KlTp9cuN7pevXqdPHlStqyiIu+nKwIA30gkkt27d69bt66wsJCIhg0bFh0dPXToUNa5AOqSR2M9f/78r7/+srKyqjN+7do1ExOTOk9G+q9UVFQMDQ3f5R0AoNk4efLkmjVrrl69SkRmZmZhYWEfffQRZtwDfpJHAa9evfrWrVsXLlyoM75kyZIePXp8++237/LmOTk5xsbG6urqw4YNCwkJ6dixY50VRCKRSCSSLZeWlhKRWCzm1cUXsjCI9FY8TMXDSNRSU924ccPT0/Pnn38mIl1dXS8vr88//1woFFZXV7OK1DA8TMXbSIpO8NpZmhuXqanp0qVLvby86oyHhITExcXdv3+/we+cnJz88uVLCwuLwsJCPz+/Bw8eZGVlaWtr116nznliIkpISNDU1GzwRgGAV168eLF///5ffvlFKpUqKyvb2dnNmDFDR0eHdS5oQpWVlbKJFEtKShT371oee8BPnjx57ZzP+vr6RUVF7/LOsok+iMjKymrIkCGdOnU6ePDgwoULa6/j6enp4uIiWy4tLTU1NR03bpy+vv67bLdxicXilJQUa2tr/swGwMNIxMtUPIxELSlVZWXl5s2bw8LCysrKiMjR0TE4OLj2pHvyj/TueJiKh5HKy8tZR2gE8ihgIyOjy5cvvzqemZnZrl27xtpK69atzc3Nc3Nz64wLhUKhUFh7RFVVlT+/RjV4mIqHkYiXqXgYiZp7KqlUun//fk9Pz/z8fCIaMGBAdHR0w54p3rx/UI2IV5H4k+RdyGMmrClTpnz77bdHjx6tPZiUlLRz586pU6c21lZevnx5584dIyOjxnpDAOCntLS0oUOHOjk55efnm5iYxMfHp6enN6x9ARiSxx6wr6/vyZMnp06d2rdv3969exNRVlbW1atXe/ToUefs7H+1Zs0aBweHTp06PXz4cMOGDcrKyh9//HEjpQYA3snNzXV3dz98+DARtWrVytPTc/Xq1RoaGqxzATSEPPaAdXV1L1y4sG7dOrFYfOjQoUOHDonF4vXr11+8eLF169bv8s5//fXXxx9/bGFhMWPGDH19/QsXLjTiMW0A4I/nz5+vXr26Z8+ehw8fVlJSWrx4cW5urpeXF9oXFJecZq7Q0tLy8/N7x/3dV+3fv79x3xAA+KaqqmrLli0BAQHFxcVENHHixIiICNmxNACFJtepo16+fFlQUEBEpqamrVq1kuemAUDhcBx3+PBhd3f3O3fuEFGfPn0iIyNtbGxY5wJoHPI4BE1E6enp48aN09PT6927d+/evfX09MaPH5+RkSGfrQOAwklPTx89evRHH310584dQ0PD7du3X758Ge0LzYk89oAvXrw4duxYNTW1RYsW9ejRg4hu3Lixb9++0aNHp6amDh48WA4ZAEBR3L9/38vLKyEhgYg0NDTWrFnj5uaGY2bQ/MijgL29vTt06JCWllZ70mZfX98RI0Z4e3unpKTIIQMA8F9paWlISMiXX34pEolkzyoNDAw0MTFhnQugScjjEPTFixeXLFlS55EJBgYGixcvfnWCaABogaqrq2NjY7t16xYaGioSicaOHZuRkbFr1y60LzRj8tgDVlJSeu186BKJRElJTiehAYCfOI77+eef165de+PGDSIyNzePiIhwcHDAI4yg2ZNH/w0fPnzLli11HrqQn5+/devWESNGyCEAAPDT1atXra2tJ02adOPGDX19/ZiYmKysLEdHR7QvtATy2AMODg4ePXq0paXl1KlTZfOk37p1KykpSUVFJSQkRA4BAIBvHj58uH79+p07d3Icp6am9sUXX3h5eb3jzDwAikUeBdy/f/+LFy96e3sfPXq0oqKCiDQ1NSdOnBgYGNizZ085BAAA/igvL4+MjAwPD5d9GsycOTMkJMTMzIx1LgB5k9NEHD179kxMTJRKpU+ePCGidu3a4ewvQEsjkUh27969YcOGhw8fEtGwYcOio6OHDh3KOhcAG3KdCUtJScnAwECeWwQAnvj1119dXV3v3btHRGZmZmFhYR999BHO9UJL1lQF7O/vX5/VBALB+vXrmygDAPDBjRs31q5de+zYMSLS1dVdv3798uXL6zylG6AFaqoC9vX1rc9qKGCAZqyoqMjX13fbtm0SiURFRWXixInbt2+vMyUAQIvVVAUslUqb6J0BgP8qKys3btwYHBxcVlZGRFOmTAkMDMzNzdXX12cdDYAvcCUUADQmqVSakJBgYWHh6elZVlY2YMCA1NTUxMRE2S2IAFBDfhdhPXjw4OzZs0VFRdOmTTMxMZFIJCUlJbq6usrKynLLAABNKi0tzcXFJT09nYhMTEyCg4OdnJxwywPAa8njHwbHcS4uLmZmZk5OTi4uLrdv3yaily9fdu7cOSYmRg4BAKCp5ebmTps2bdSoUenp6a1atQoMDLx169acOXPQvgBvIo9/GxEREZs2bVqzZk1KSgrHcbJBXV3dDz/88IcffpBDAABoOs+fP3dxcenZs+fhw4eVlJQWL16ck5Pj7e2tqanJOhoAr8njEPT27dvnzp0bHBz87Nmz2uNWVlbJyclyCAAATaGqqmrr1q3+/v7FxcVENHHixIiIiN69e7POBaAY5FHABQUFw4cPf3VcS0urtLRUDgEAoHFxHJeYmOju7p6bm0tEvXv3joqKsrGxYZ0LQJHI4xB0+/btCwoKXh3PzMzs2LGjHAIAQCNKT08fM2bMtGnTcnNzDQwMtm3bduXKFbQvwH8ljwL+8MMP4+Li7t69K/tSNvncL7/8smvXrunTp8shAAA0ivz8fCcnp8GDB//2228aGhrr1q3Lycn59NNPcS8DQAPIo4D9/PyMjIz69es3d+5cgUAQFhY2cuRIOzs7KysrLy8vOQQAgHdUWlrq6elpbm6ekJBARHPnzr19+3ZAQIC2tjbraACKqgkLWHZdBhHp6upeuHDBzc3twYMH6urqZ86cefHixYYNG3777TdcJwnAc9XV1XFxcd26dQsNDRWJRGPHjs3MzNy9e7eJiQnraACKrQkvwjI0NPzggw+cnJwcHBxkR6vWrVvXdJsDgMbFcVxycvLatWuzs7OJyNzcPCIiwsHBAY8wAmgUTbgH/NFHH508eXLmzJkGBgbOzs6nTp2quQkYAHju6tWrNjY29vb22dnZ+vr6MTExWVlZjo6OaF+AxtKEBbx3796ioqI9e/aMGjVq7969NjY2HTp0cHV1zczMbPRthYaGCgSCVatWNfo7A7Q0Dx8+XLhwYf/+/U+ePKmmprZmzZrc3Nzly5erqqqyjgbQrDTtRVgaGhoff/zxjz/++OjRo61bt3bv3n3jxo2DBw+2tLQMDAysuS76HaWnp3/99ddWVlaN8m4ALVZ5ebmfn1/37t137NjBcdzMmTNv3rwZERHRunVr1tEAmiE5TdOqp6e3ZMmSM2fO5Ofnh4aGampq+vj4dO/e/bUTdPwnL1++dHJy2r59u56eXqNEBWiBJBLJzp07zc3NfX19Kyoqhg0bdv78+f3795uZmbGOBtBsye9pSDIdOnRYu3btxIkTfXx8kpKSLl68+I5vuGzZMnt7+wkTJgQGBr52BZFIJBKJZMuyibfEYrFYLH7H7TYiWRhEeisepuJhJPrvqX799Vd3d/erV68SkZmZWVBQ0LRp0wQCQeN+Xzz8WfEwEvEyFW8jKTqBPC+Mys/PT0hI2LdvX1ZWFsdxw4cPd3JyWrp0aYPfcP/+/UFBQenp6erq6mPHju3Xr9/GjRvrrOPr6+vn51d7JCEhAbc/ARBRQUHB7t27MzIyiEhTU3PGjBn29vY41wv8V1lZOWvWLCIqKSnR0dFhHaeB5FHAT58+PXjwYEJCwvnz5zmOs7S0dHJycnJy6ty587u8bUFBwaBBg1JSUmRnf99UwHX2gE1NTQsLC/X19d9l041LLBanpKRYW1vz54OPh5GIl6l4GInql6qoqCggIOCbb76RSCQqKipLlizx9vZu27Yt21RyxsNIxMtUPIxUXl4uO+2o0AXchIegy8vLExMTExISTp06JRaLjYyMVq1a5eTkNGDAgEZ5/8zMzKKiopp3k0gkZ8+e/eqrr0QiUe2J8YRCoVAorP0HVVVV+fNrVIOHqXgYiXiZioeR6M2pKisrN23aFBQUVFZWRkSTJ08ODw83Nzdnm4ohHkYiXqbiVST+JHkXTVjA7du3r6ysbNWq1SeffOLk5DR+/PjGfTT3+++/f+3atZovFyxYYGlp6e7ujmlpAV6L47j9+/d7enrev3+fiAYMGBAVFTV27FjWuQBaqCYs4AkTJjg5OTk6OqqrqzfF+2tra9d+8qiWlpa+vj6eRQrwWr///ruLi8ulS5eIyMTEJDg42MnJqXH/TwwA/0kTFnBSUlLTvTkA1NOdO3fc3d1/+OEHItLS0vL09Fy9ejWuQwRgTt63ITWd1NRU1hEA+KW4uDggIOCrr74Si8VKSkoLFy709/c3NDRknQsAiJpTAQNADbFYvHnz5qCgINlDyWxtbSMjI3GCBoBXUMAAzQrHcUeOHPniiy8KCwuJqHfv3pGRkba2tqxzAUBduAQDoPnIyMgYM2bMjBkzCgsLDQwMtm3bdvnyZbQvAD9hDxigOcjPz/fy8tq7dy8RaWhoTJo0KS4urk2bNqxzAcAbYQ8YQLGVlpZ6eXlZWFjI2nfu3LnXr193cnLS1tZmHQ0A/g0KGEBRVVdXx8XFde/ePSQkpLKycuzYsZmZmbt37zYxMWEdDQDeDoegARQPx3HJyclr167Nzs4mInNz84iICAcHB4FAwDoaANQX9oABFMzVq1dtbGzs7e2zs7P19fVjYmKysrIcHR3RvgCKBXvAAArj4cOH69ev37lzJ8dxampqK1eu9Pb2bt26NetcANAQKGAABVBeXh4ZGRkeHl5RUUFEM2bMCA0NNTMzY50LABoOBQzAaxKJ5Lvvvlu3bt3Dhw+JaOjQodHR0cOGDWOdCwDeFQoYgL9+/fVXV1fXK1euEJGZmVloaOj06dNxrhegeUABA/DRzZs3165d+9NPPxGRrq7uunXrVqxYIRQKWecCgEaDAgbglydPnvj6+n799dcSiURFRWXp0qU+Pj5t27ZlnQsAGhkKGIAvKisrN23aFBwcXFpaSkSOjo7h4eEWFhascwFAk0ABA7DHcdz+/fs9PT3v379PRAMGDIiKiho7dizrXADQhFDAAIz9/vvvLi4uly5dIqIOHToEBwfPnj1bSQmT5AA0cyhgAGbu3Lnj4eFx6NAhItLS0vLw8HBxcdHU1GSdCwDkAQUMwEBxcXFgYGBMTIxYLFZSUlq4cKG/v7+hoSHrXAAgPyhgALmqqqqKjY319/d//vw5Edna2kZERPTp04d1LgCQNxQwgJxwHHfkyBE3N7fc3Fwi6t27d2RkpK2tLetcAMAGChhAHjIyMlxdXc+ePUtEBgYGAQEBCxYsUFHBP0CAlgv//gGaVn5+vpeX1969e4lIQ0PD1dXVzc1NW1ubdS4AYAwFDNBUSktLQ0NDv/zyy8rKSiKaO3duUFCQiYkJ61wAwAsoYIDGV11d/c0332zYsKGoqIiIxowZExUVNXDgQNa5AIBHUMAAjYnjuOTk5LVr12ZnZxORubl5eHi4o6MjHmEEAHUo9mw7sbGxVlZWOjo6Ojo6w4YNS05OZp0IWrQ///zTxsbG3t4+OztbX19/8+bNWVlZkydPRvsCwKsUu4BNTExCQ0MzMzMzMjLGjx8/efLk69evsw4FLVFhYeGiRYv69et38uRJNTW1NWvW5ObmrlixQlVVlXU0AOApxT4E7eDgULMcFBQUGxt74cKFXr16MYwELU1lZWVgYGBUVFR5eTkRzZgxIyQkpEuXLqxzAQDfKXYB15BIJN9//315efmwYcPqvCQSiUQikWxZ9pQ3sVgsFovlHfHNZGEQ6a34lkoqle7atcvLy0s2p9WQIUPCw8Nlv4FsQ/LtByXDw1Q8jES8TMXbSIpOwHEc6wzv5Nq1a8OGDausrGzVqlVCQsIHH3xQZwVfX18/P7/aIwkJCZjvHt7Rn3/+uXPnzry8PCJq37793LlzR4wYgXO9APJRWVk5a9YsIiopKdHR0WEdp4EUvoCrqqry8/NLSkoOHTr0zTffnDlzpmfPnrVXqLMHbGpqWlhYqK+vzyLs64nF4pSUFGtra/6cL+RhJOJNqps3b3p4ePz8889EpKurO2XKlOjoaF5NrMGTH1QdPEzFw0jEy1Q8jFReXq6np0cKXsAKfwhaTU2tW7duRDRw4MD09PRNmzZ9/fXXtVcQCoVCobD2iKqqKn9+jWrwMBUPIxHTVE+ePPH19f36668lEomysvLSpUu9vLwuXbqkra2NH1Q98TAVDyMRL1PxKhJ/krwLhS/g2qRSac3OLkAjqqys3Lx5c1BQkOwyAkdHx/DwcAsLi+ZxIgoAmFDsAvb09LSzs+vYsWNZWVlCQkJqauqJEydYh4JmheO4AwcOeHh43L9/n4j69+8fFRU1btw41rkAQOEpdgEXFRXNnTu3sLBQV1fXysrqxIkT1tbWrENB83Hu3DkXF5eLFy8SUYcOHYKDg2fPnq2kpNh3zwMATyh2AX/77besI0DzdOfOHQ8Pj0OHDhGRlpaWh4eHi4sLLp4HgEak2AUM0OiKi4sDAwNjYmLEYrGSktLChQv9/f0NDQ1Z5wKA5gYFDPCPqqqq2NhYf39/2cQatra2ERERffr0YZ0LAJonFDAAcRx35MgRd3f3nJwcIurVq1dkZOTEiRNZ5wKA5gwFDC1dRkaGq6vr2bNniah9+/YBAQHOzs4qKvinAQBNC58y0HLl5+d7eXnt3buXiNTV1V1dXd3d3Xk1pxUANGMoYGiJysrKQkNDo6OjKysriWjOnDlBQUGmpqascwFAC4IChpalurr622+/9fHxKSoqIqIxY8ZERUUNHDiQdS4AaHFQwNBScBx3/PjxNWvWZGdnE1H37t0jIiIcHR3xCCMAYAJz+kCL8Oeff9ra2n7wwQfZ2dlt2rTZtGlTVlbW5MmT0b4AwAr2gKGZKywsXL9+/c6dO6VSqZqa2ooVK7y9vWUPMgMAYAgFDM1WeXl5VFRUeHh4eXk5EU2fPj00NLRLly6scwEAEKGAoVmSSqXx8fFeXl4PHz4koqFDh0ZFRQ0fPpx1LgCA/4MChubm9OnTrq6uly9fJqLOnTuHhobOmDED53oBgG9QwNB83Lx5083N7ccffyQiXV1db2/vFStWqKurs84FAPAaKGBoDp48eeLn5xcXFyeRSJSVlZcuXbphw4a2bduyzgUA8EYoYFBslZWVmzdvDgoKKi0tJSJHR8fw8HALCwvWuQAA3gIFDIqK47gDBw54enreu3ePiPr37x8VFTVu3DjWuQAA6gUFDArp3LlzLi4uFy9eJKIOHToEBwfPnj1bSQkTywCAwkABg4K5c+fO+vXrDx06RERaWlru7u6urq6ampqscwEA/DcoYFAYxcXFO3bsSE5OFovFSkpKzs7O/v7+RkZGrHMBADQEDtmBAqiqqtq0aVOPHj2OHj0qFottbGyuXLmyfft2tC8AKC7sAQOvcRyXlJTk5uaWk5NDRB07dtyyZcukSZNY5wIAeFcoYOCvjIwMV1fXs2fPElH79u19fX0NDAxsbW1Z5wIAaAQ4BA18VFBQMGfOnPfee+/s2bPq6ure3t65ubmLFi1SVlZmHQ0AoHFgDxj4paysLDQ0NDo6urKykohmz54dHBxsampKRGKxmHU6AIBGgwIGvqiurv722299fHyKioqIaPTo0VFRUYMGDWKdCwCgSSj2IeiQkJD33ntPW1u7ffv2U6ZMuXXrFutE0EDHjx/v16/fZ599VlRU1L1798TExNTUVLQvADRjil3AZ86cWbZs2YULF1JSUmR3p8gevQ4K5Nq1a7a2tnZ2dtevX2/Tps2mTZuysrKmTJmCBwgCQPOm2Iegjx8/XrO8a9eu9u3bZ2Zmjh49mmEkqL9Hjx6tX79+x44dUqlUTU1txYoV3t7eenp6rHMBAMiDYhdwbSUlJUTUpk2bOuMikUgkEsmWZQ/MEYvFvLqcRxamRUWqqKj48ssvIyMjZUcspk2bFhQU1KVLl3/faAv8QTUMUtUTDyMRL1PxNpKiE3AcxzpDI5BKpY6Oji9evEhLS6vzkq+vr5+fX+2RhIQETB3MilQqTU1N3bt377Nnz4jIwsJiwYIFlpaWrHMBgCKprKycNWsWEZWUlOjo6LCO00DNpICXLl2anJyclpZmYmJS56U6e8CmpqaFhYX6+vpyz/hGYrE4JSXF2tpaVVWVdZZ/NFGk1NRUNze3K1euEFHnzp0DAwOnT59e/3O9LecH9Y6Qqp54GIl4mYqHkcrLy2WnqxS6gJvDIejly5f/9NNPZ8+efbV9iUgoFAqFwtojqqqq/Pk1qsHDVI0Y6datW2vXrv3xxx+JSEdHZ926dStWrFBXV2ebqrHwMBIhVb3xMBLxMhWvIvEnybtQ7ALmOG7FihWyW1bMzMxYx4HXePLkiZ+fX1xcnEQiUVZW/uyzzzZs2NCuXTvWuQAAGFPsAl62bFlCQkJSUpK2tvajR4+ISFdXV0NDg3UuICKqrKzcvHlzUFCQ7No3BweH8PBwnO4FAJBR7AKOjY0lorFjx9aM7Ny5c/78+azygAzHcQcOHPD09Lx37x4R9e/fPyoqaty4caxzAQDwiGIXcPO4gqyZOXfunKur64ULF4ioQ4cOQUFBc+bMUVJS7ClfAAAanWIXMPDK3bt3PTw8vv/+eyLS0tJyd3d3dXXFHV8AAK+FAoZGUFxcHBQUFBMTU1VVpaSk5Ozs7O/vb2RkxDoXAAB/oYDhnYjF4tjYWD8/v+fPnxORtbV1ZGSklZUV61wAAHyHAoYG4jguKSnJzc0tJyeHiHr27BkZGTlx4kQ8RAEAoD5QwNAQmZmZrq6uZ86cIaL27dv7+/svXLhQRQW/TgAA9YVPTPhvCgoKvL294+PjiUhdXd3FxcXd3V1xp4IDAGAFBQz1VVZWFhYWFhUVVVlZSUSzZ88OCgrq2LEj61wAAAoJBQxvV11dvWPHDh8fn8ePHxPR6NGjo6KiBg0axDoXAIACQwHDWxw/fnzNmjXXr18nou7du4eHh0+ePBlXWgEAvCPMTwRvdO3aNVtbWzs7u+vXr7dp02bTpk1ZWVlTpkxB+wIAvDvsAcNrPHr0aMuWLadOnZJKpaqqqitXrvT29pY9fRMAABoFChj+R0VFRXR0dGhoaHl5ORFNnz49NDS0S5curHMBADQ3KGD4h1QqjY+P9/b2fvDgARGZm5tv27ZtzJgxrHMBADRPKGAgIjp9+rSrq+vly5eJqFOnToGBga1atRo+fDjrXAAAzRYuwmrpbt265ejoOH78+MuXL+vo6ISFhd28eXPmzJm40goAoElhD7jlevr0qZ+fX1xcXHV1tbKy8meffbZhw4Z27doRkVgsZp0OAKCZQwG3RJWVlTExMUFBQSUlJUTk4OAQHh5uaWnJOhcAQAuCAm5ZOI47ePCgh4fHvXv3iKhfv35RUVHjx49nnQsAoMVBAbcg58+fd3FxuXDhAhEZGxsHBQXNmTNHWVmZdS4AgJYIBdwi3L1718PD4/vvvyciLS0tNzc3V1dXLS0t1rkAAFouFHAz9+LFi8DAwJiYmKqqKoFA4OzsHBAQYGRkxDoXAEBLhwJutsRicVxcnJ+f37Nnz4jI2to6MjLSysqKdS4AACBCATdLHMcdPXrUzc3t9u3bRNSzZ8/IyMiJEyfi1l4AAP5AATc3mZmZrq6uZ86cIaL27dv7+/svXLhQRQV/0QAA/ILP5eajoKDA29s7Pj6eiNTV1V1cXNzd3XV0dFjnAgCA10ABNwdlZWVhYWFRUVGVlZVENHv27KCgoI4dO7LOBQAAb6TYc0GfPXvWwcHB2NhYIBAcOXKEdRwGqqurt23b1r1796CgoMrKytGjR6enp8fHx6N9AQB4TrELuLy8vG/fvlu2bGEdhI0TJ070799/yZIljx8/7tatW2JiYmpq6qBBg1jnAgCAt1PsQ9B2dnZ2dnasUzBw7dq1tWvXnjhxgojatGnj4+OzdOlSNTU11rkAAKC+FLuA60MkEolEItlyaWkpEYnFYl497UcWpp6RHj165Ovru2vXLqlUqqqqumzZMk9PTz09vfq/Q6NHkhsepuJhJEKqeuNhJOJlKt5GUnQCjuNYZ2gEAoEgMTFxypQpr77k6+vr5+dXeyQhIUFTU1NOyRqPSCRKSko6fPiw7Eqr4cOHz5kzB3NaAUALVFlZOWvWLCIqKSlR3Hs9mn8B19kDNjU1LSws1NfXl2u+fyUWi1NSUqytrVVVVV+7glQq3bt3r4+Pz4MHD4ho8ODB4eHhw4cPZxiJCR6m4mEkQqp642Ek4mUqHkYqLy+XHflT6AJu/oeghUKhUCisPaKqqsqfX6Mab0qVmprq6ur6xx9/EFGnTp1CQ0NnzpwpnzmtFOsHxRAPIxFS1RsPIxEvU/EqEn+SvIvmX8CK69atW25ubkePHiUiHR0db2/vlStXqqurs84FAACNQLEL+OXLl7m5ubLlvLy8K1eutGnTphncAvv06VM/P7+4uLjq6mplZeUlS5b4+vq2a9eOdS4AAGg0il3AGRkZ48aNky27uLgQ0bx583bt2sUy07sRiUSbN28OCgoqKSkhokmTJoWHh/fo0YN1LgAAaGSKXcBjx45tHheRERHHcQcPHnR3d7937x4R9evXLyoqavz48axzAQBAk1DsAm42bt68GRoaeuHCBSIyNjYOCgqaM2eOsrIy61wAANBUUMCM5eXlubm5HTp0iIi0tLTc3NxcXV21tLRY5wIAgKaFAmbmxYsXQUFBmzdvrqqqEggE8+fPDwoKwsQaAAAtBAqYAbFYHBcX5+fn9+zZMyKaMGHCpEmTPv/88+ZxZxsAANSHYj8NSeFwHJeUlNS7d++VK1c+e/asZ8+eP//887Fjxzp37sw6GgAAyBUKWH7++OOP8ePHT5ky5fbt2+3bt4+Li7t69aqdnZ18prUCAABewSFoeSgoKPD29o6PjycidXX11atXe3h4KO78pQAA8O5QwE2rrKwsLCwsKipK9ggjJyen4ODgZjBXFwAAvCMUcFOprq7esWOHj4/P48ePiWjUqFFRUVHvvfce61wAAMALKOAmceLEiTVr1mRlZRFRt27dwsPDp0yZgnO9AABQAxdhNbKsrKyJEydOnDgxKytLT09v48aN169fnzp1KtoXAABqwx5wo3n06JGPj8+3334rlUpVVVVXrFixbt062SOjAQAA6kABN4KKioro6OiwsLCXL18S0bRp08LCwrp27co6FwAA8BcK+J1IpdI9e/Z4e3v/9ddfRDR48OCoqKiRI0eyzgUAAHyHAm641NRUV1fXP/74g4g6deoUEhIyc+ZMJSWcVgcAgLdDATfE7du33dzckpKSiEhHR8fb23vlypXq6uqscwEAgMJAAf83T58+9ff3j42Nra6uVlZWXrJkia+vb7t27VjnAgAABYMCri+RSBQTExMYGFhSUkJEkyZNCg8P79GjB+tcAACgkFDAb8dx3Pfff+/h4ZGXl0dE/fr1i4qKGj9+POtcAACgwFDAb3H+/HlXV9fz588TkbGxcVBQ0Jw5c5SVlVnnAgAAxYYCfqO8vDwPD4+DBw8Skaampru7u6urq5aWFutcAADQHKCAX+PFixfBwcGbNm2qqqoSCATOzs4BAQFGRkascwEAQPOBAv4fYrE4Li7Oz8/v2bNnRDRhwoTIyMi+ffuyzgUAAM0NCvgfHMcdPXrUzc3t9u3bRNSjR4/IyEg7Ozs8RAEAAJoCCpiI6I8//nB1dU1NTSWidu3a+fv7L1q0SEUFPxwAAGgqLb1j/vrrL29v7/j4eI7jhEKhi4uLh4eHjo4O61wAANDMKfzExVu2bOncubO6uvqQIUMuXbpU/z9YVla2fv16c3Pz7777juM4Jyen27dvBwcHo30BAEAOFLuADxw44OLismHDhj/++KNv3762trZFRUVv/VMSiWT79u3du3cPDAz8+++/R40adenSpT179nTs2FEOmQEAAEjRCzg6OvrTTz9dsGBBz5494+LiNDU1d+zY8dY/NWbMmMWLFz9+/Lhbt24//PDDmTNn3nvvPTmkBQAAqKHA54CrqqoyMzM9PT1lXyopKU2YMEE2ZVVtIpFIJBLJlmXTON+8ebN169Zr1qxxdnZWU1N7/vy5PGO/SiwWV1RUPHv2TFVVlW2SGjyMRLxMxcNIhFT1xsNIxMtUPIxUXl4uW+A4jm2Sd8IprAcPHhDRuXPnakbWrl07ePDgOqtt2LCB9c8YAACaxJ07d+TbPI1JgfeA68nT09PFxUW2/OLFi06dOuXn5+vq6rJNVVtpaampqWlBQQF/rv/iYSTiZSoeRiKkqjceRiJepuJhJCIqKSnp2LFjmzZtWAdpOAUu4LZt2yorKz9+/Lhm5PHjx4aGhnVWEwqFQqGw9oiuri6vfo1kdHR0+JaKh5GIl6l4GImQqt54GIl4mYqHkYhISUmBr2RS4OhqamoDBw48deqU7EupVHrq1Klhw4axTQUAAFAfCrwHTEQuLi7z5s0bNGjQ4MGDN27cWF5evmDBAtahAAAA3k6xC3jmzJlPnjzx8fF59OhRv379jh8/bmBg8C/rC4XCDRs21DkizRwPU/EwEvEyFQ8jEVLVGw8jES9T8TAS8TXVfyLgFPoabgAAAMWkwOeAAQAAFBcKGAAAgAEUMAAAAAMoYAAAAAZaUAE3+MGFTefs2bMODg7GxsYCgeDIkSOs4xARhYSEvPfee9ra2u3bt58yZcqtW7dYJ6LY2FgrKyvZJADDhg1LTk5mnaiu0NBQgUCwatUq1kHI19dXUIulpSXrREREDx48mD17tr6+voaGRp8+fTIyMlgnos6dOwv+17Jly9hGkkgk69evNzMz09DQ6Nq1a0BAAE+ukC0rK1u1alWnTp00NDSGDx+enp7OJMabPi05jvPx8TEyMtLQ0JgwYUJOTg6TeA3TUgq4YQ8ubGrl5eV9+/bdsmUL6yD/58yZM8uWLbtw4UJKSopYLLaxsamZ9JwVExOT0NDQzMzMjIyM8ePHT548+fr162wj1Zaenv71119bWVmxDvKPXr16Ff5/aWlprONQcXHxiBEjVFVVk5OTs7Ozo6Ki9PT0WIei9PT0mp9SSkoKEU2fPp1tpLCwsNjY2K+++urGjRthYWHh4eExMTFsI8ksWrQoJSUlPj7+2rVrNjY2EyZMkM3DL2dv+rQMDw/fvHlzXFzcxYsXtbS0bG1tKysr5R+vgRjPRS0vgwcPXrZsmWxZIpEYGxuHhISwjVQbESUmJrJOUZfs/yhnzpxhHeR/6OnpffPNN6xT/KOsrKx79+4pKSljxoz54osvWMfhNmzY0LdvX9Yp/oe7u/vIkSNZp/g3X3zxRdeuXaVSKdsY9vb2zs7ONV9++OGHTk5ODPPIVFRUKCsr//TTTzUjAwYM8Pb2Zhip9qelVCo1NDSMiIiQffnixQuhULhv3z5m4f6jFrEHLHtw4YQJE2RfvunBhVCH7OmN/JnrXCKR7N+/v7y8nD8Tji5btsze3r7mV4sPcnJyjI2Nu3Tp4uTklJ+fzzoOHT16dNCgQdOnT2/fvn3//v23b9/OOtH/qKqq2rNnj7Ozs0AgYJtk+PDhp06dun37NhFdvXo1LS3Nzs6ObSQiqq6ulkgk6urqNSMaGhp8OLIik5eX9+jRo5p/gLq6ukOGDFGgz3bFngmrnp4+fSqRSGpPkmVgYHDz5k2GkfhPKpWuWrVqxIgRvXv3Zp2Frl27NmzYsMrKylatWiUmJvbs2ZN1IiKi/fv3//HHH6xOib3WkCFDdu3aZWFhUVhY6OfnN2rUqKysLG1tbYaR7t69Gxsb6+Li4uXllZ6evnLlSjU1tXnz5jGMVNuRI0devHgxf/581kHIw8OjtLTU0tJSWVlZIpEEBQU5OTmxDkXa2trDhg0LCAjo0aOHgYHBvn37zp8/361bN9a5/vHo0SMiqvPZLhtUCC2igKEBli1blpWVxZP/6lpYWFy5cqWkpOTQoUPz5s07c+YM8w4uKCj44osvUlJSau8cMFezz2RlZTVkyJBOnTodPHhw4cKFDCNJpdJBgwYFBwcTUf/+/bOysuLi4vhTwN9++62dnZ2xsTHrIHTw4MG9e/cmJCT06tXrypUrq1atMjY25sMPKj4+3tnZuUOHDsrKygMGDPj4448zMzNZh2omWsQh6Ho+uBBqLF++/Keffjp9+rSJiQnrLEREampq3bp1GzhwYEhISN++fTdt2sQ6EWVmZhYVFQ0YMEBFRUVFReXMmTObN29WUVGRSCSso/2jdevW5ubmubm5bGMYGRnV/t9Sjx49+HBgXOb+/fsnT55ctGgR6yBERGvXrvXw8Jg1a1afPn3mzJmzevXqkJAQ1qGIiLp27XrmzJmXL18WFBRcunRJLBZ36dKFdah/yD7GFfezvUUUMB5cWH8cxy1fvjwxMfHXX381MzNjHec1pFKpSCRinYLef//9a9euXfn/Bg0a5OTkdOXKFWVlZdbR/vHy5cs7d+4YGRmxjTFixIjaN7Pdvn27U6dODPPUtnPnzvbt29vb27MOQkRUUVFR+9G2ysrKUqmUYZ46tLS0jIyMiouLT5w4MXnyZNZx/mFmZmZoaFjz2V5aWnrx4kVF+mxnfRWYnOzfv18oFO7atSs7O3vx4sWtW7d+9OgR61BcWVnZ5cuXL1++TETR0dGXL1++f/8+20hLly7V1dVNTU2tuUmjoqKCbSQPD48zZ87k5eX9+eefHh4eAoHgl19+YRvpVTy5CtrV1TU1NTUvL+/333+fMGFC27Zti4qK2Ea6dOmSiopKUFBQTk7O3r17NTU19+zZwzaSjEQi6dixo7u7O+sg/5g3b16HDh1++umnvLy8w4cPt23b1s3NjXUojuO448ePJycn371795dffunbt++QIUOqqqrkH+NNn5ahoaGtW7dOSkr6888/J0+ebGZm9vfff8s/XsO0lALmOC4mJqZjx45qamqDBw++cOEC6zgcx3GnT5+u8/+hefPmsY306n/Rdu7cyTaSs7Nzp06d1NTU2rVr9/777/OwfTneFPDMmTONjIzU1NQ6dOgwc+bM3Nxc1ok4juN+/PHH3r17C4VCS0vLbdu2sY7zjxMnThDRrVu3WAf5R2lp6RdffNGxY0d1dfUuXbp4e3uLRCLWoTiO4w4cONClSxc1NTVDQ8Nly5a9ePGCSYw3fVpKpdL169cbGBgIhcL333+fP3+h9YHHEQIAADDQIs4BAwAA8A0KGAAAgAEUMAAAAAMoYAAAAAZQwAAAAAyggAEAABhAAQMAADCAAgYAAGAABQwAAMAAChhAYcyfP79z587y3OLBgwfbtGnz8uXLf18tOztbRUUlKytLPqkAmgcUMABfCP5VamqqnPNIJJINGzasWLGiVatW/75mz5497e3tfXx85BMMoHnAXNAAfLFnz56a5e+++y4lJSU+Pr5mxNrauk2bNlKpVCgUyifPkSNHPvzww4KCgg4dOrx15eTk5A8++CA3N7dr165yyAbQDKCAAfho+fLlW7ZsYfvPc/Lkyc+fP//tt9/qs7JYLDYwMFi+fLm/v39TBwNoHnAIGkBh1D4HfO/ePYFAEBkZuWXLli5dumhqatrY2BQUFHAcFxAQYGJioqGhIWvQ2u+QnJw8atQoLS0tbW1te3v769evv2lblZWVx48fnzBhQu3BlJSUkSNHtm7dulWrVhYWFl5eXjUvqaqqjh07NikpqTG/YYBmTYV1AABouL1791ZVVa1YseL58+fh4eEzZswYP358amqqu7t7bm5uTEzMmjVrduzYIVs5Pj5+3rx5tra2YWFhFRUVsbGxI0eOvHz58msv7MrMzKyqqhowYEDNyPXr1ydNmmRlZeXv7y8UCnNzc3///ffaf2TgwIFJSUmlpaU6OjpN+U0DNBMoYAAF9uDBg5ycHF1dXSKSSCQhISF///13RkaGiooKET158mTv3r2xsbFCofDly5crV65ctGjRtm3bZH923rx5FhYWwcHBNSO13bx5k4jMzMxqRlJSUqqqqpKTk9u2bfvaMF26dJFKpTdv3hw8eHCjf6cAzQ8OQQMosOnTp8val4iGDBlCRLNnz5a1r2ykqqrqwYMHRJSSkvLixYuPP/746f+nrKw8ZMiQ06dPv/adnz17RkR6eno1I61btyaipKQkqVT62j8iW/np06eN9M0BNHMoYAAF1rFjx5plWRObmprWGSkuLiainJwcIho/fny7Wn755ZeioqJ/ef/aV4HNnDlzxIgRixYtMjAwmDVr1sGDB+s0sWxlgUDQKN8aQLOHQ9AACkxZWfmtI7JelJVlfHy8oaFh7Vdrdpfr0NfXJ6Li4mITExPZiIaGxtmzZ0+fPn3s2LHjx48fOHBg/Pjxv/zyS80WZU3/pgPUAFAHChigRZDdntu+ffs6Fza/iaWlJRHl5eX16dOnZlBJSen9999///33o6Ojg4ODvb29T58+XfOGeXl5SkpK5ubmTRAfoBnCIWiAFsHW1lZHRyc4OFgsFtcef/LkyWvXHzhwoJqaWkZGRs1InTua+vXrR0QikahmJDMzs1evXjXnpAHg32EPGKBF0NHRiY2NnTNnzoABA2bNmtWuXbv8/Pxjx46NGDHiq6++enV9dXV1GxubkydP1kys4e/vf/bsWXt7+06dOhUVFW3dutXExGTkyJGyV8Vi8ZkzZz7//HP5fUsACg4FDNBSfPLJJ8bGxqGhoRERESKRqEOHDqNGjVqwYMGb1nd2dp42bVpBQYHswi5HR8d79+7t2LHj6dOnbdu2HTNmjJ+fX83+7qlTp54/fz5v3jw5fTMAig9TUQLA60kkkp49e86YMSMgIOCtK0+ZMkUgECQmJsohGEDzgAIGgDc6cODA0qVL8/Pz//2BSDdu3OjTp8+VK1d69+4tt2wAig4FDAAAwACuggYAAGAABQwAAMAAChgAAIABFDAAAAADKGAAAAAG/h/u3dbfwG5QmQAAAABJRU5ErkJggg==
36.0
float
scientific figure
high school
269
269
1
Starting from rest at time t = 0, a car moves in a straight line with an acceleration given by the accompanying graph. What is the speed of the car at t = 10s ?
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
40.0
float
scientific figure
high school
270
270
1
A block of mass 1 kg, initially at rest, is pulled along a frictionless, horizontal surface with a force shown as a function of time t by the graph above. What is the acceleration of the block at t = 7s ?
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
4.0
float
scientific figure
high school
271
271
1
The 3.0 kg box shown in the figure to the right is sliding to the right along the floor. A horizontal force of 55.5 N is being applied to the right. The coefficient of kinetic friction between the box and the floor is 0.78. The box is moving with:____. choice: (A) acceleration to the left (B) acceleration to the right (C) constant velocity
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
B
multiple choice
scientific figure
high school
272
272
1
What is the x-component of this vector?
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
2
float
scientific figure
high school
273
273
1
What is the y-component of this vector?
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
-3
float
scientific figure
high school
274
274
1
The graph shows smoothed force-versus-time data for a collision. Find the impulse delivered by the force.
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
60
float
scientific figure
high school
275
275
1
Ball 1 and ball 2 follow the paths shown, where the darkblue path is Ball 1 and the green path is Ball 2. Which ball is in the air for a longer time? Assume that you can ignore air resistance for this problem. choice: (A) Ball 1 (B) Ball 2 (C) The amount time of balls in air is same
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
B
multiple choice
scientific figure
high school
276
276
1
refer to the following diagram that shows part of a closed electrical circuit. What is the electrical resistance of the part of the circuit shown between point X and point Y?
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
35.435
float
scientific figure
high school
277
277
1
refer to the following diagram that shows a closed electrical circuit. What is the electric current of the circuit?
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
0.8386
float
scientific figure
high school
278
278
1
Find the potential difference Uab between points a and b.
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
13.2619
float
scientific figure
undergraduate
279
279
1
Two planets travel in an elliptical orbit about the sun as shown. Which planet have greater orbital speed? choice: (A) Blue planet (B) Orange planet (C) Both two planet have the same speed
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x9eSJUuoFVogV1dX+wGsRYsWOduCgxXWJWlpaaNGjRKRfv36HTx4ULs8L9DSWCyWgQMH5uTkiEhaWpp2yNVJsMK65NNPP9Vu/N///R+1QotlNBrtLxSzb7ROghXWj8xmc2BgYGlpabt27crKyjp06KD3RMBl1dTUdO7c+cKFC507dy4qKnKen6+ssH60c+fO0tJSERk/fjy1QgvXsWNH7YWupaWlO3fu1Huc5kOwfvTFF19oNx566CF9JwGawr6h2jddZ8AuoYiI2Wzu1q1bWVmZu7t7aWkpKyy0fGfPnvX399f2CgsLC53kSW1WWCIiqampZWVlwv4g1NGhQwftHSWdaq+QYImIJCUlaTfYH4RC4uPjtRsbN27Ud5JmQ7BERA4cOKDd0E5zB5QQHR2t3Th48KCugzQfgiUi8t1334lIp06d/P399Z4FaCp/f3/tUmDaBuwMCJZUVlZq79U3cOBAvWe5SWw2KS+XEyekvFx4UqX1MhgM2kZbXFx8+vRpvcdpDgRLDh06pN1oDcGqqpJ//EP69BF/f+nRQ/z9pU8f+cc/pKpK78lwS9g3Wvtm3LoRrEvL6QEDBug7yY3askWCgmTBAjl27NKdx47JggUSFCRbtug3GW4V+0brJHuFBOvSd1rtFdaWLTJ+vNTWis32s91A7Ze1tTJ+PM1qfewbLcFyFt9//712o1+/fvpOcv2qqmTyZLHZxGpt/AFWq9hsMnky+4atjH2jtW/GrRvBkvPnz2s3vLy89J3k+v3rX3L+/GVrpbFa5fx5+eijX36mpqZm/vz5oaGhbdu27dy58z333LN3714RCQ0NfeKJJxwfGR0dbX8q3WQyGQyGzz//fNmyZUFBQe3atRszZoyT/LNpOewbrX0zbt2c4nT+K7t48aJ2o23btvpOcp1sNnnzzaY++I035Le/FYPB8b7Zs2evXbv22WefHTBgQEVFRXp6+uHDh4cOHdqU3+8vf/mLi4vLc889d+bMmRUrVjz66KNZWVnX+jfAdbNvtPbNuHUjWFJXVycirq6uLi5qrjcrKiQvr0mPtNkkL08qK8XPz/Hu5OTkhIQE+6U6r+l66BcuXNi3b1+bNm1ExMfHZ968eQcPHhw0aFDTfwfcCKPR6OrqajabnSRYav4ThaOzZ6/t8TU1De7w9vbOysoqKiq6jj/8ySef1GolInfddZeIHHN8jhK4qQiWaP/ezGaz9crHgFqsa321dseODe5YsWLFwYMHu3fvPmzYsKVLl15TcYKDg+23fXx8RMRJzmBsISwWi9lsFnUPaFwjgqX+UQA/P+nVq8FhqcYZDNKrl/j6Nrg7Pj7+2LFjb775Zrdu3V599dWBAwempKSIiOEXv6fFYmlwzy/f65I3LGpOyh+BvUYESzw8PLQbZ86c0XeS62QwyG9/29QH/+53jaYtICBgzpw569evP378uJ+f37Jly0TEx8en6uenQeTn59/otLip7ButfTNu3QiW9O7dW7tx5MgRfSe5ftOni4eHXPlJAxcX8fCQxx9vcLfFYnEsdefOnbt166b93O7Vq9fXX3+tPSkhIklJSSdPnrzJk+PG2Dda+2bcuvEs4c/OFbafZKQYb2/5z39k/HhxcWn8bCwXFzEYZN068fZu8JmampqgoKAHH3wwIiKiQ4cO27Zt27Nnj/aM4axZs9auXTtu3Lj4+Pi8vLyPP/64V69et/4vg2vQSl6n0WSssFrLy0fHjpXkZHF3F4PhZzt92i/d3WXTJrn33l9+nYeHx5w5c/bt27dkyZIFCxbk5OS8/fbbv//970Vk7Nixr732Wm5u7vz583ft2pWUlBQUFNRsfyE0Rat66X4T8J7uUllZqb2pUFRUlMlk0nucG1NVJR99JG+8cenMrF695He/k+nTRd3z+HF5UVFR2vsjV1ZWas/Stm4ES0QkICCgpKSkU6dO2ju7K89mk8pKqamRjh3F17dJTyBCQTabzd/fv6KiIiAg4PpOo1MOu4QiPy2ny8vLW0mwDAbx85PQUPHzo1atWFlZWUVFhTjN/qAQLE14eLh2Y8eOHfpOAjSd/QiG87wWimCJiEyYMEG74VTXpITqPv/8c+3GAw88oO8kzYZjWCJcSBUK4kKqzsvV1XXy5MkiUltbm5ycrPc4wNUlJSVduHBBRCZPnuwktRKCZWe/hCp7hVCCfUN1qqv/skv4I7PZHBgYWFpa2q5du7KyMvYK0ZLV1NR07txZ2x8sKir65UvQWytWWD+y7xVeuHBh3bp1eo8DXEliYqK2P/jggw86T62EFZajtLS0UaNGiUi/fv0OHjzoVNsBFGKxWAYOHJiTkyMiaWlpI0eO1Hui5sMK65KRI0dq3/sjR458+umneo8DNO7f//63Vqu77rorMjJS73GaFSusnzGZTKNHjxaR3r17Hz582HmefIEqzGZzv3798vLyRMRkMkVFRek9UbNihfUz0dHRd999t4h8//33a9as0XscoKGPPvpIq9WYMWOcrVbCCuuXMjIytB3D0NDQ3NxcNzc3vScCflRXVxcWFnbixAkRycjIGDFihN4TNTdWWA1FRkaOHTtWRE6cOLF69Wq9xwEuWb16tVarcePGOWGthBVWo3bv3n3HHXeIiK+v78GDBwMCAvSeCJDi4uJBgwZVVlaKSFZW1rBhw/SeSAessBoxbNiw+Ph4EamsrJw5cyZNh+5sNtuMGTO0Wk2ZMsU5ayWssC6noqIiPDy8uLhYRFauXDl79my9J4JTW7ly5Zw5c0QkICDgwIEDfj+/drfzIFiXtXnz5vvuu09EPDw8vv322759++o9EZxUbm7ukCFDamtrRWTz5s3aMVbnxC7hZY0bN+6ZZ54RkfPnz0+bNk27vi7QzOrr6x977DGtVnPmzHHmWgnBurJXX321T58+IrJ79+7ly5frPQ6c0fLly/fs2SMiffv2XbFihd7j6IxdwqvIysqKjIy0WCxGo3H9+vX29yYFmkFSUlJMTIzVajUajZmZmU57rN2OFdZV3HHHHYsWLRIRi8USHx+flZWl90RwFl9//XV8fLzVahWRRYsWUSthhdUUVqt16tSpn332mYj4+fllZGSEhYXpPRRauZycnMjISO2iOA8//PAnn3zi4sLygmA1zcWLF++77z7tmjqhoaGZmZmcTYpbp7i4ePjw4fn5+SIyevTolJSUtm3b6j1Ui0CwmurMmTOjRo3av3+/iAwZMiQ1NdXT01PvodAKVVdXjxo1Kjs7W0QiIiJSU1O9uGr3T1hkNpWXl1dKSkpISIiI7Nu3Ly4u7uLFi3oPhdbm4sWLcXFxWq1CQkJSUlKolSOCdQ26deu2efNmX19fEdm+ffvEiRNramr0HgqtR01NzcSJE7dv3y4ivr6+W7Zs4chDA+wSXrNdu3aNGTNGO5Fv6NChmzZt6tKli95DQXklJSXjx4/fu3eviLi7u2/fvn348OF6D9XisMK6ZsOHD//qq698fHxEZO/evcOHDz969KjeQ0Ftubm5I0aM0Grl4+OzdetWatUoVljX6dChQ+PGjTt58qSIdOrUKTk5mdNkcH2ysrImTJhQXl4uIsHBwZs3b+7fv7/eQ7VQrLCu04ABA3bt2hUeHi4i5eXlo0eP5pLRuA7Jycl33323Vqvw8PDMzExqdQUE6/oFBgbu3LkzOjpaRM6fPx8TE/POO++wYkUT2Wy2lStXxsTEnD9/XkSio6PT0tICAwP1nqtFI1g3xNvbe/Pmzdq7/Vkslmeeeebhhx+uqqrSey60dFVVVVOmTJkzZ47FYhGR+Pj4zZs3cwbD1dlwwywWy4IFC+z/S0NCQjIzM/UeCi1XRkaGdkKfZsGCBRaLRe+h1ECwbpovvvjC29tb2wSNRuOyZcvMZrPeQ6FlMZvNf/rTn+wXFff29l67dq3eQ6mEZwlvpvz8/EcffTQjI0P75ejRo9esWcNRCWgKCwunTZumvSJVREaOHPnJJ58EBwfrO5VaOIZ1M4WEhJhMpsWLF2svrN+xY0dERMTGjRv1ngv627hxY0REhFYrFxeXJUuW7Nixg1pdM72XeK2TyWRyXFhNmTKlsLBQ76Ggj8LCQu1pGU1QUJDJZNJ7KFURrFulvLw8JibGvpl6enq++eabHNVyKmaz+Y033ujYsaN9M5g0aVJ5ebnecymMYN1CVqt19erVjldkGjp0aEZGht5zoTmkp6cPHTrU/q3v1KnT6tWrrVar3nOpjWDdcuXl5TNnznTcDX/kkUcKCgr0ngu3SkFBwSOPPOL4HZ81axYLq5uCYDWT9PR07XU8Gnd396VLl1ZXV+s9F26m6urqpUuXuru727/R4eHh6enpes/VehCs5lNfX79y5UrHPUQfH5+XXnrp9OnTeo+GG3X69OmXXnpJew8PjZ+f3zvvvMNRy5uLYDW3ysrK+fPnu7q6Oh6Pf/HFF9llUFRZWdmLL77o+H7Zrq6u8+fPr6ys1Hu0Vohg6SMnJ2f69On2M55FpH379gsXLiwpKdF7NDRVSUnJwoUL27dvb/8mGo3G6dOn5+Tk6D1aq0Ww9JSXl5eQkODm5uZ4bGvevHmctNXC/fDDD/PmzXM8VuXm5paQkJCXl6f3aK0cwdJffn7+3LlzHa/j5ObmFh8fv23bNl4T26JYLJZt27bFx8c7/oxp27bt3Llz8/Pz9Z7OKfBawpaiqKjo1Vdffffdd7V3i9f06tUrISHhiSee4G3j9XXq1Kl//vOf7733Xl5env1Od3f32bNnP/fcc926ddNxNqdCsFqW0tLS119//YMPPigrK7Pf6erqGhMT89RTT/3mN7/h8r/NyWq1btu2bdWqVRs2bDCbzfb7/f39Z82aNX/+/M6dO+s4nhMiWC1RXV3dhg0bVq1atW3bNsf7e/ToMWvWrGnTpnXv3l2v2ZzEyZMn16xZ89577504ccLx/nvuuSchISEmJqZNmzY6jebUCFaLlpeX98EHH3z44YenTp1yvP/Xv/51bGxsXFxcWFiYXrO1SkeOHElMTExMTNyzZ4/j/V26dJkxY8bMmTN79eql12wQgqWE+vr6jRs3rlq16quvvmrw/erfv39cXFxsbOzQoUMNBoNeEyrNZrPt3bt33bp1iYmJhw8fdvyUwWAYO3ZsQkLCAw884HigHXohWCo5ceLEmjVr1q1bt2/fvgafCg4O1tZckZGRjqd34XIsFktGRobWqYKCggafHTJkSFxc3LRp00JDQ/WYDo0jWEo6fvx4YmLiunXrtDePd/yUl5fXyJEjo6KioqOjb7vtNsdT6mE2m/fu3Zuampqampqenn7mzBnHzxoMhsjIyNjY2NjY2B49eug1JK6AYKmtpKRkw4YNiYmJ27dvd3waS9OxY8fIyMioqKioqKhf/epXzrlTU19f/7///c8eqbNnzzZ4gJub29133x0XFzdx4sSuXbvqMiSaiGC1ElVVVcnJyRs2bDCZTI6nRNh5eHiMGDEiKipq6NChERER3bp1a63HvGw2W1FRUXZ2traYyszM1C7814C/v390dHRMTMz48ePtVw9BC0ewWhubzXb48OHUn5SUlDT6MF9f34iIiMGDB2sfBw4c2K5du2Ye9Wapra09dOhQdnb2/v379+/fn52dXVlZ2egju3btGvWT/v37t9Zkt2IEqzWz2WxHjx41mUxavAoLCy/3SKPR2Ldv34iIiPDw8B49egQHBwcHB3fr1q2lHb+3WCxFRUUFBQUFBQXHjx/XCpWTk2O1Wi/3JYGBgdHR0Vqk+vTpQ6SURrCchc1mO3bs2K5du+zLkMstvuyMRmNQUFBISEhwcLDjRz8/Py8vL8cXP95cFy9ePHPmTEVFRX5+vtYm7UZ+fv4PP/ygXSr5CgICAgb/ZPjw4T179iRSrQbBcl6lpaUHDhyw70l99913dXV1Tf/ydu3aeTnw9va2327fvr3RaDQajS4uLtpHEbFarRaLRftosVjOnTt35idVVVVnHFy4cKHpY7Rp02bgwIH2fdvBgwf7+/tf8/8LKIJg4Uf19fW5ubmHDx+2L2e0j5c7HtT8fH19Gyz3+vfv37dvX+d89tM5ESxcxdmzZx33ywoKCk6fPu24INLemf4G/xSDweDp6em4ZPPx8dEOpWl5Cg4O7tChw035G0FdBAs3ymq11tTUOCbs3LlzDXYARaTBTmL79u0d89SxY0feiAJXRbAAKIOfaQCUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBkEC4AyCBYAZRAsAMogWACUQbAAKINgAVAGwQKgDIIFQBn/D0OxBUTi4rIoAAAAAElFTkSuQmCC
B
multiple choice
scientific figure
high school
280
280
1
Two planets travel in an elliptical orbit about the sun as shown. Which planet have greater acceleration? choice: (A) Brown planet (B) Pink planet (C) Both two planet have the same acceleration
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
A
multiple choice
scientific figure
high school
281
281
1
In the figure below, the area of square ABCD is equal to the sum of the area of triangles ABE and DCE. If AB = 60, then CE = ___
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
30.0
float
plane geometry
high school
282
282
1
Fill in the white spaces to make the equations work. choice: (A) 28, 1, 0, and 37 (B) 1, 0, 27, and 37 (C) 38, -1, 1, 28
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
A
multiple choice
puzzle test
high school
283
283
1
Fill in the white space to make it like a 5x5 sudoku.
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
4
float
puzzle test
elementary school
284
284
1
Find the missing value.
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
58
float
puzzle test
elementary school
285
285
1
Find the missing number.
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
529
float
puzzle test
elementary school
286
286
1
Find the missing numbers so that the sum of numbers on the each side equal to the number in the center. The answer should be in the order of the missing number on the left side, the missing number on the bottom side, and the missing number on the right side, following the format like '1, 2, 3'
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
69, 51, 59
text
puzzle test
elementary school
287
287
1
What type of transformation of the left letter was applied to become the right letter? choice: (A) reduction (B) rotation (C) enlargement
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gAABBoAAAQaAgL8BltjCpS44zhgAAAAASUVORK5CYII=
B
multiple choice
plane geometry
elementary school
288
288
1
The diagram shows weights of students. How many students are at least 40 kilograms weight but less than 70 kilograms weight?
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
9
float
statistics
high school
289
289
1
The diagram shows Exam score of students. What is the average score of this exam?
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
63.75
float
statistics
high school
290
290
1
The diagram shows height of buildings in town. How many buildings are exactly 70 meters?
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
0
float
statistics
high school
291
291
1
The diagram shows Exam score of students. What is the student No. of the student who get the highest score?
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
5
float
statistics
high school
292
292
1
The diagram shows weights of students. How many students are at least 40 kilograms weight but less than 70 kilograms weight?
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
8
float
statistics
high school
293
293
1
The diagram shows height of buildings in town. How many buildings are exactly 80 meters?
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
0
float
statistics
high school
294
294
1
The ternary plot shows the three-sector model of an unknown country. What is the percentage of primary sector in the economy of this country .
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
0.9
float
statistics
undergraduate
295
295
1
The ternary plot shows the three-sector model of an unknown country. Which sector contributes most to the economy of this country? choice: (A) Primary Sector (B) Secondary Sector (C) Tertiary Sector
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
B
multiple choice
statistics
undergraduate
296
296
1
According to the slope field, dx/dy = a * x^3, find the value of 'a'.
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
0.3333
float
analytic geometry
undergraduate
297
297
1
According to the slope field, dx/dy = a * sin(x), find the value of 'a'.
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
-3
float
analytic geometry
undergraduate
298
298
1
Which differential equation generates the slope field? (A) 3x + 0y (B) 3x - 0y (C) 0y - 3x (D) 3x (E) -3x - 0y
iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAIAAAC6s0uzAAB+30lEQVR4nO39fZgc53neid7VVdVd1dPd84EZDAYDkAAhLmmSJkiBdELKkimZ1BHlpag4ziraPZG0q9i7WcnxxjqXLlk+R4o3ceRkuWfX+WLkK1pTli9waUeWqSumxDBSJCo+omlSGUAURYogSALzgRnMV393VXV1nT/eqZqa6h6aPdPPU8DM8/trNALn7eqvp577fd771oIggCAIgiAIvGTSfgCCIAiCsB+RAiwIgiAIKSAFWBAEQRBSQAqwIAiCIKSAFGBBEARBSAEpwIIgCIKQAlKABUEQBCEFpAALgiAIQgpIARYEQRCEFJACLAiCIAgpIAVYEARBEFJACrAgCIIgpIAUYEEQBEFIASnAgiAIgpACUoAFQRAEIQWkAAuCIAhCCkgBFgRBEIQUkAIsCIIgCCkgBVgQBEEQUkAKsCAIgiCkgBRgQRAEQUgBKcCCIAiCkAJSgAVBEAQhBaQAC4IgCEIKSAEWBEEQhBSQAiwIgiAIKSAFWBAEQRBSQAqwIAiCIKSAFGBBEARBSAEpwIIgCIKQAlKABUEQBCEFpAALgiAIQgpIARYEQRCEFJACLAiCIAgpIAVYEARBEFJACrAgCIIgpIAUYEEQBEFIASnAgiAIgpACUoAFQRAEIQWkAAuCIAhCCkgBFgRBEIQUkAIsCIIgCCkgBVgQBEEQUkAKsCAIgiCkgBRgQRAEQUgBKcCCIAiCkAJSgAVBEAQhBaQAC4IgCEIKSAEWBEEQhBSQAiwIgiAIKSAFWBAEQRBSQAqwIAiCIKSAFGBBEARBSAEpwIIgCIKQAlKABUEQBCEFpAALgiAIQgpIARaEvUYQBJVKJQiCtB+IIAhvhhTgvvE87/HHH/c8L+0HQoVc4NVOtVodHh6uVqtpPxAq9vwr2PMC/3J+7U9eXvjGq0sMD+CFy5U/eXnhay8vEN3G7flX8C0iBVgQBOEqoOK2AZRyBsNaDc8HMGTqmqYxLLdvkQIsCIJwpRMEQVUV4CxHAa6rAsyy1n5GCrAgCMKVTt3zOwEAFFk64LrXBjBk6gxr7WekAAuCIFzpVJy2+oGhA/b8jusHkAJMjxRgQRCEKx21AQyWDljpzwDypkjQtEgBFgRB2AlBELCd9ao6HgDb0M0M+Ze20p8hHTA9coMjCIKwE2arrbNLlTHbfPvkcM6grVWcI9BRBzyUlQJMi3TAgiAIO2G16Tp+Z6numjrtFyn3CLTrA8jpGYZue58jz68gCMJOWG15AEYtM0N8WDaVEei86M/0iAQtCILQN34nWG95AMZsk3otzhFoRIeATb3p+TNL5SHTODZsl3Lkl7kPkQIsCILQN2stT81fjVlZ6rU4R6CDIAhtsIya116oOYAzVchRr7s/EQlaEK50Hn744VtvvbVUKpVKpbvuuusb3/hG2o9IwGrLVT8wdMCcI9DNtq9uLIayutoMBjAk55FokAIsCFc6R44c+Z3f+Z3nn3/+ueeee8973vPggw/+6Ec/SvtB7XdWmy6AIVO3iOefkdYItKmrzeCMBtuQSkGC3NcIwpXOAw88EP3827/92w8//PAzzzxz8803p/iQ9jlBEKw0PQBjFnn7yzwCXYt1vXWvASBvSCQDFfuuAO8+AEv9hT0cpCUXeMXi+/6/+3f/rl6v33HHHYnH7ziO4zjqZxVE6Hne1XiNb4XUX8GG13ZcD8CwmaF4GPELrLvtTtsHkNc5LrnabMH3NcAI/FrLge/blj7wdQf1Cprm1T0apu231O7HH3887YcgCH3z+uuvf+Yzn3Fd17KsX//1X7/jjjsS/+DRRx997LHH4r85ffp0Pp9nfIyCwM2DDz6Y9kPYFfuuAA+kA37qqafuu+++q/3mazvkAq9AXNe9cOFCpVL56le/+vu///v/8T/+x5tuuin+DxId8PHjx5eXl0ulUhoPlpzUX8EXliqvlZu6hvedOEhxCDh+gT9Zrb+8UgPwvhMTDENY37u4st5qTwxlT00Of/P8ZQA3jRdOjA4NdpVBvYJX0Ue4J/tOgh7UC2aa5tX+2r85coFXFKZp/tRP/RSAv/bX/toPfvCDf/2v//UXv/jFxD8oFArRz7jaLnAHpHiB6+0Auj5qZ3NZwjNI6gIbfgBdtw09n+M4C9ToALpetHIuMtB1AEXbInqe9/xb9K9EZtsE4Sqj0+lEza4QEQTB85fW3yg3XL9DuhCnBQd4R6DjQYQSycDAvuuABeGq4zd+4zfuv//+a665plqtnj59+jvf+c6TTz6Z9oO64ig77TfKzTfKzZMHg4FLpnE4LTi4XaBjQYSbBVgiGciQAiwIVzpLS0sf+chHFhYWhoeHb7311ieffPK+++5L+0FdccxWm+qHw0WLdCFOC45UXKABDJn6UsOBRDIQIwVYEK50vvSlL6X9EK50giCYq7YAHLCzNrEzBqsFx1YX6MsNR9e0Ys4gKorxIEJlgyWRDKRIARYE4aqn7LRV8ThC3P5yWnCgywX67FKl7LQnh3LvODJGsVw8iFB1w7IBTIpoC4IgXPWw6c+Ntu/4HQBjNvkGMLa6QDPsB0dBhPFIBqK1BEgBFgThaodXf94wEuApwPER6Gg/mG4iejOIMBbJQLSWACnAgiBc7bDpzwg3gHUNwyzJgPGWd1OOpumA411vPJKBYi1BIQVYEISrGzb9GcBqywMwamUpDLASNLaOQFejgSya2i9BhPxIARYE4SqGU39mtuCohlVwowN2PAB5QzeoR6AliJALeXIFQbiK4dSfOS040DUCrf4n3YHgrUGEPiSIkB4pwIIgXMXw6s98FhwAam4KI9AaYBuZjWksFvut/YwUYEEQSFisO8sNl3QJTv0ZvBYcAKq8I9DhBJauaZocAuZBbnAEQRg8Trvz3MK643duPFC4abxItAqn/sxswQGlCWf0cAOYdgQa0RmkrBGPZCBaS1BIBywIwuA5s1RWhhWkMT6c+jOzBQeALSPQLu0INEIJesjU45EMRGsJCinAgiAMmLlqa7baAjBdsI4UbaJV2PXnpAVHEARBEFCvyzMCLUGEqSA3OIIgDBKn3ZlZLAPI6pmTkyW6hSoun/6MXhYcs9XW2aXKmG2+fXI4R3YHwDMCLUGEqSAdsCAIgyQSn2+bLJEOK81XW+oHBv0ZwEqXBcdq03X8zlLdNXWqL1LmEWjEJGgJImRAnl9BEAbGXLXJID4r5mt8+rPfCcpdFhyhK5ZJ54rF7AKNDRusjUgGorWECJGgBUEYDE67M7NYAb34rGh4Heg6j/7cbcFB6ooVbS3zjUBvCSIMIxk8f2apPGQax4btUo5p9ntfIQVYEITBwCY+x+HRn7stOEhdsRphP8o8Ap0IIqx57YWaAzhThRzRuvsckaAFQRgAnOJz1CDy6M/oZcFB6orF7AKNbYIIJZKBGinAgiDsFmbxOTJJ5tGfe1pwkLpiMbtAbxdEKJEM1MjTKgjCbmEWn5nnn7stOKhdsZQLtGVkeEagt+t6JZKBGhEWBIGDVttn2xZVfP2VS/lCPfHLX7xhauALrTRdNvEZQBAEav55zDa59OekBQe1K1Y11vKyjkCb+lLdQdj1SiQDNdIB98dspXlmscK2XLsT/Ohy5dn5tYVai2fFlab7wlIFsW02as6v15+dX3tppcqznNP2X16pASg7HteKnWfn1771+rL6yt57jFnmnVMjxazOID4r7pgaAXBsOM+z3EQ+e+fUyInRfGTB0V2SB8vNEyUA15ZssIxAF7PGnVMjN40XStktXa9EMlAjtzb9sdx0L1SabO9HXcNPVusBMGTqUwUOta3qtl8rN3Wg4flZFsvbi5XWStMd9cwbD1BZ9sfpBPjJal0HFqqt8QLHN/hy01EN4pnF8s8cHmVYkRlN046W7CNFi0eo1DRtOGcCmGbRnwFYhn60ZB8tbTb3oSuWNkzTlY7bWQDqI88wAq0uUP0skQycSAHuj0jy8jsBw7E4TdOGTL3m+ZFGRE20z1T1/BGWFQ/Y5krTXW95fifQM+Tf4Lapj9lGGZirtW4JAoaaMV20pwutuVprttqarrbYysYHrj9UKjG1pAD21TYhgwVHBMMIdByJZOBEJOj+iKYBW22miqje/WwFOJq0rIbCFzXqGGUAKFsDBqYKNoCG1ylzXePJyVJWzwCYWSzvVSE6dYIgeP7S+hvlhkv8DJNacHRDPQIdRyIZmJEC3B92+F5scn2NKj90tgJsZjKWoQGoelwFOPwWW2nRhrdHHB7acBWYC8PsqLEM/baDJQCO3zmzWOZZdL9RdtpvlJvPXypfrNC+rKQWHAkYRqDjbI1k2DSnZFh6fyIFuD8iCbrFVRHV7afrdzyukl/MmQCqXDNKlqEr19losIV8xfAuarbaYps1O1KypwuWWnSuyjRSt69gywYmteBIEI1A83TAEsnAjDyz/REV4GabqwMOqwXfNrBpAKi5PltxOmCZAFabLtuKirrns6nQECGaEs5sYFILjgTRCLTqgC83nNWm63Wo3jxbIxl8SCQDMVKA+0PPaKaugXEPODKBq3NpwoWcAaAT8JV8dZaj5XeaXM9qBJsKDRGiKSk7TNnA1BYcCapbLbHOLlW+c2Hl2fl1ouW2RjLIGSRypAD3jZrDavqsEjQ457DCLZ/ID4+a6DDlCpcKDWDMNsCrQkOEaDLY9GdqC44EagSaORU4EclAtJYAKcA7QOlObHvApp5RuiVbAS5kuQehh3OGrgGhuMeDmoVmVqEhQjQBvPozrQVHAnUTzJwKnIhkIFpLgBTgHZA3dDDuASNsgiOPVmqimQu2DjijaSNWFuHxSh74Z6EVIkQPHDb9GZsWHCCy4IiTaHk3ExpoOuDtIhko1hIUUoD7RnXArh9s3I7Soz4DDa494IgK1yA0gAO2CUDZcfCsaJm6WpRZhYYI0YOGTX/GpgVHlsGCo7F1BDpSpIg6YAki5EcKcN9EXhxsE0MbHbDHN5asqLptthX57TgATBfTUaERCtG2oWf1fWQgRQGn/sxswcGcCixBhPzIk9s30SlSxgJsAAh4dW9wD0Jz23EAmA7ttWd5VWgAlqHfPT167/HxiXyOeek9Bqf+zGnBAfZUYAki5EcKcN/YetgBs3lxZKNBaHYVmmsbmN+OA4AdqtBz7Co0gDE7KxYHu4dXf+az4ECYCsw2Al3z2gA0SBAhH/L57xsrRS8OrjmsCLZBaKRkx5GiCr3nWaw7yw1aPYNTfwavBQfCQ8BsI9DhBJYEEfIhBbhvosQeNgna3jikw9oBW0YGjB0wUrLjSFGF3ts47c5zC+tPX1x5cZkw6ZlTf2a24ABQc31sbgCTpwJLECE/UoB3DludUKGEYDwKjGjbiXEQOhU7jnRV6D3MmaWNU850HRt49WdmCw4AW0ag6VOBJYiQHynAO4dtDxjsoYQIHaE5B6FTseOAqNAEzFVbs9UWgOmCdaRo/5X/fmew689JC44gCBg+HTwj0BJEmApSgHcOqxcHbygh0nCETsWOA6JCDxqn3ZlZLAPI6pmTkyW6hSoun/6MXhYcs9XWE68ufX9u1aEUw5hGoCWIMA2kAO8cx+8we3GwhhKyO0IjDTsOiAo9aCLx+bbJEumw0nzoYcKgPwNY6bLgWG26jt9ZqrumTvVFyuwCDQki5EWe313B7MWBPe0IjZTsOCAq9OCYqzYZxGfFfI1Pf/Y7QbnLgiN0xTLpXLGYXaCxYYO1EclAtJYQIQV4VzB7cYCxAJuZjPpe4x2ETsGOA6JCDwin3ZlZrIBefFY0vA649OduCw5SV6xIieEbgd4SRBhGMnj+9+dWzy5VOIcx9xVSgHcFnxeHmYIXR4l9EDoVOw6ICj0g2MTnODz6c7cFB6krViP8YmEegU4EEda89kLNObdWl9guIqQA7wq2OSz+UEKEd9+cg9BIyY4DMRWa8xl+i3zhC1+48847i8XiwYMHP/jBD7788stpP6IecIrP0XuDR39GLwsOUlcsZhdobBNEKJEM1EgB3iGmroFRggZ7KCHCu2/OQWikZMcBYLpo3TZZev+Jg4Urz37vu9/97ic+8Ylnnnnmqaee8jzvve99b71eT/tBbYFZfI62RXj0554WHKSuWMwu0NsFEUokAzVX3HfN1YJtZLw2dwFea3mcoYTRyGXFbbOVpc1t4KbH6QNgG/p1I0Nsy/XFN7/5zejnRx555ODBg88///y73vWuFB9SAmbxmXn+uduCg9oVS7lAW0aGZwR6u6637jUgkQyU7LsC7Hm73VxUfyGrBfA7jZaz+z/4FrG1AL5f933XdUk/D+qKPM+zdB2+D2C93prIMW3p5TPQO74fYLnaOGSTvD+jC6T449vhtP3cICrT8vIygGKxmHj8juM4jqN+rlarAL7+0ly+UEn85w9cP7n7x5BgteXOrtcBTBVyk5ZB/cQGQTBXrgMYzWpG0PE88m2gy9WW+iCUTE1dXcNrO64HYNjMUFxvpekAKBjwPK/utjttH8CQTvWmLTdddYE5LVhuOPD9jAYj8GstB75vW/rA1x3UZ9A0mWxBidD228jJ448/nvZDEIQd0ul0/sk/+Sf1ev0LX/hC4v969NFHH3vssfhvTp8+nc/nGR+dIHDz4IMPpv0QdsW+K8C7vOf64VLl9dWafn7mujve8Uq5BeD9Jw5G8QwDJwiCPzu3FADXj+bHh3Lfn10DcNeR0XEyN9oLleaZ+TX9/Mw77nnPcN56Zn7tct0t5fSfu2acaMU/n11dbXojlvHOowfUb368XD231tCA+wme25bnP/Xqon5+5tipu26aHB3sH+/JQq313EIZwOFi7tShkd38qU9+8pNPPvnkf/pP/+nIkSOJ/yvRAR8/fvwrf/FivlBM/DOKDlgRBAGbUOl53lNPPXXfffel1QC9sFR5rdzUNbzvxEGKQ8DxC3xltf7SSg3A/Scm6IawIr53cWW91Z4Yyp6aHP7m+csAbhovnBgd8O7MoF7Bq70D3ncS9C5fsCErB70JIJ/LQvcAtLWMRblVOWRla57fDLRh24KuA3A6Gt3bbjQfqFWagTZumiO2dbnl13wYhkH09TpesFfdTtkLMrqhyu14IX+u4gRA3ceB3ICv1DTNsUKuDCw027eSXVSca0bNhUZ7rtaab7SPtvzpnW5bfvKTn3ziiSeefvrp48ePd/+/pmkWCoXoZwAfuHG6VCKfh0oR0zTT+v5dbwfQ9VE7m8sSBjOoC6z7AXQ9b+h2Lke3VkSjA+h60cq5yKivgqJtET3PKb6CVwgy29Yf0TRg1JhRz2FFMQy2kWEIJYwmLZUBFsMgdLf7FbUdx1TBBtDwOmy+VycnS+oU2cxieQdHKoMg+OQnP/m1r33t29/+ds/qKwAIguD5S+tvlBsu8aFVUguObqhHoONIJAMzUoD7w+56L1J7cUQxDDyhhGYmYxkagKq3ZfCSzg+ru9xS23EcHtroJOa4fK8sQ7/tYAmA43fOLJb7/c8/8YlP/OEf/uHp06eLxeKlS5cuXbrUbIpjV5Ky036j3Hz+UvlihfbJIbXgSMAwAh1HIhmYkQLcH9Gp/064d07txRGPYeAJJSzmTABVx0NXQ0xBz3JLasdhhXdRs4y+V0dKtjK8nK225sJTNG+Rhx9+uFwu33PPPVMhiXkrAYzZwKQWHAkiF2ieDlgiGZjZd3vAuyQqwI4fZPWMS+8XEY9hGMrqaJAX4JJprAI11w+CQDlCN9s+qSP0ActseL4qt2pTdszOXqy2lB0H3Wlglb4wQnOUs5uTk6XLTdf1OzOL5fF8NveWI3T226TkDuDMBia14EgQuUCrDvhyw9E1rZgziIri1kgGHxLJQIzc2vSHntGUB1ar7av9YPoCHMUwtHlCCRNJwAyO0N3uV3E7Drp1wahCY9dCtPAmlB2mbGBqC44E1a2WWGeXKt+5sPLs/DrRclsjGdqQDWBipAD3zUbd9X11o02+BxzvgFkykRJJwAyO0JHBUFRuh3PqPmej26BZ1ACvCo3dCdHCm8CmP3e7YpGibnyZU4ETkQxEawmQArwDlO7U8nwlzlDvAcdjGHhSgRNJwAyD0MM5I1FuM5o2XbSvHbYPDlEdvVCz0PwZwLuciBa64dWfo1l9lgKsKi5vKnAikoFoLQFSgHdA3tiou+qj7vidjY8FGVEMA08oYbS9VHGZBqEzmjZiZREmnCvumBo5dWhkqkDV0PDPQitEiB44bPozwntEXcMw/VRUouXdTGig6YC3i2SgWEtQSAHuG9UBu34QDdHwzGE1vDZzKGGFaxAagIrjXW951HczEVaYAcysQkOE6EHDpj8jvEcctbIUBlgJGltHoKMPIFEHLEGE/EgB7ht+L47o+G8QBJyhhGrfVw1Cg7IDRi87DgaiDGBmFRqhEG0belaXnJldwak/M1twMKcCSxAhP/Lk9o3F78VhGgACoNnuRN0w6YoK3kFoWvernkyH+vYsrwoNwDL0u6dH7z0+PpHn8Bfcw3Dqz5wWHGBPBd4aROhDggjpkQLcN3aoPPN5cWQ3t37j3TDpogq2QWhq96ue2KEKPceuQgMYs7NicbB7ePVnPgsOhKnAbCPQNa8NQANsI7MxjcWVAr5vkc9/31hbvTjAJUFDzWFlN7th0kUVbIPQIHa/2o4UVeg9z2LdWW7Q6hmc+jN4LTgQHgJmG4EOJ7B0TdPkEDAPUoD7JgrIa3J5cdgbh3Q2O2AQD0IDsIwMGAeh0cuOg4EUVei9jdPuPLew/vTFlReXq3SrcOrPzBYcAGquj80NYNoRaERnkLJGPJKBaC1BIQV45zTbTF4c8RgGHi8ORNtOjIPQ3XYcDKSrQu9hzixtnHKm69jAqz8zW3AA2DIC7dKOQCO8p49coBFGsQl0SAHeOU0uLw70DCWkbEYBlMzNfV+eQehuOw4eRIUeOHPV1my1BWC6YB0p2kSrsOvPSQuOIAgYbtp4RqAliDAVpADvHFYvDt5QQqThCN3TjoMBUaEHi9PuzCyWAWT1zMnJEt1CFZdPf0YvC47ZauuJV5e+P7fqUG6aMI1ASxBhGkgB3jmO32H24mANJWR3hEYadhwQFXrQROLzbZMl0mGl+dDDhEF/BrDSZcGx2nQdv7NUd823HGzVL8wu0JAgQl7k+d0VzF4ciEIJGTrgXo7QZibTorQvTsWOA6JCD465apNBfFbM1/j0Z78TlLssOEJXLJPOFYvZBRobNlgbkQxEawkRssc+GMiPAsdmrwqxbpju1juRBDxdtKaGrByxLU7cjuNAnmnUBcB0wTq7VAEwW22yxQPvPZx2Z2axAnrxWdHwOtB1Hv2524KD1BUrUmL4RqC3BBGGkQyeP7NUHjKNY8N2KSefi8EjHfCu2PTi4AslbOe5BqHj+75mJkNdfZGSHQdEhR4QbOJzHB79uduCg9QVqxF+tJlHoBNBhDWvvVBzzq3VJbaLCCnAu4LNi4M/lBBc+74JUrHjQEyF5gm62Htwis/Re4NHf0YvCw5SVyxmF2hsE0QokQzUyNO6Q0xd80IvDpfFO2LI1F2/Ew8lpHaEjhtgFbhM6cbs7MVqS9lxcB5DnC5aGQ2HCxZb67aXYBafo+NwPPpzTwsOUlcsZhfo7YIIl+oOJJKBEnlad0jkgcXjxYFeoYQ1lg4YxMd/E2xuAzOr0IZ+3ciQVN+dwSw+M88/d1twULtiKRdoy8jwjEBv1/VKJAM10gHvEMvQK22/6fmjdhYsXhyJUELVDZOuuMUAq0C61CbDOVPX4AdYbbpHS7RKJietts9c3b/+yqV8oZ745S/eMDXwhVaaLpv4DCAIAjX/PGabXPpz0oKD2hWrGmt5WUegt3a9EslAjXTA/TFbaZ5ZrADIGxseWHlKL452J/jR5cqz82sLtRZPKOFK031hqQKAzQDr/Hr92fm1l1Y2HIOp7Tictv/ySg1AmdJUZOuKnWfn1771+vJenWQZs8w7p0aKWZ1BfFbcMTUC4Nhwnme5iXz2zqmRE6P5yIKjuyQPlpsnSgCuLdlgGYEuZo07p0ZuGi+Uslu6XolkoEYKcH8sN90LlSbCTCRqLw5dw09W67PV1mrT3RpKuHFrPPBJparbfq3cRDiHyWCAdbHSmq22FmpO9BtSO45OgJ+s1gEshDImNctNZ7bacvzOmcUyz4rMaJp2tGTfe2yCp8XXNG04ZwKYZtGfAViGfrRknzw4HLfgAKBr2jBNVzpuZwFMFSywjECrC7zxQDFn6BLJwIloC/0RSV5R3Y17cQx8UkkZT9Y8f0sMg7vhxaG64cGel4/2maqePwKUssZi3VGD0ET7QAdsc6XpqnKrkqbGrCxQV3YcAz8NbJv6mG2Ugbla6xayi4ozXbSnC625Wmu22pquttjKxgeuP1QqMbWkAPbVNiGDBUcEwwh0HIlk4EQ64P6IpgEzXZ87om3gHjEMlKGEieAjhiTgbveruB0HxYpTBRtAw+uw+V6dnCypubmZxfJeFaJTJwiC5y+tv1FuuMTPMKkFRzfUI9BxJJKBGSnA/WF3vRepvTh6xjDQhRKamYxlaACqHlMScHe5pbbjODyUUz/McaUvWIZ+28ESgD0sRKdO2Wm/UW4+f6l8sUL7spJacCRgGIGOI5EMzEgB7o9Igo7qLrUXR88YBtJQwmLOBFDlSgLuWW5J7Tis8C5qltH36kjJVrFLs9XWHNf2876CLRuY1IIjQTQCzdMBSyQDM/LM9kdUgON1NzoTTLFizxgGTdNumSi+fXKY4qCOSgKuuT7bIHR3uVXDpS1ihxPm9AURoungzAYmteBIEI1Aqw74csNZbbpeh+rNszWSwYdEMhAjBbg/9Ixm6hqAVqzuknpxxNTmdrwbvn6scGwkT+GQzp8E3F1u2ew42FRoiBBNSdlhygamtuBIUN1qiXV2qfKdCyvPzq8TLbc1kkHOIJEjBbhvNuquv1l31cYw0RDWlg6YJYaBPwk4OkwZlVtlx4Gw26BZ1ACvCg0Roslg05+pLTgSqBtf5lTgRCQD0VoCpADvAKU7tTw/H9ZdUi8O/hiGnknApIPQwzkjUW4zmjZdtK8dtg+GA1MDR81C82cAixA9cHj1Z1oLjgQbN8G8lliJSAaitQRIAd4BkQeWzeLFgciE0vXpTh/FiWYuKi7TIHRP96s7pkZOHRpRXgQU8M9CK0SIHjhs+jM2LThAZMERJ9HybiY00HTA20UyUKwlKKQA943qgF0/6OnFQbFidwwDT2RehWsQGsTuVz2xwgxgZhUaIkQPGjb9GZsWHFkGC47G1hHo6ANI1AFLECE/UoD7ht+LIxHDgHBWghq178szCN1tx8FAlAHMrEIjFKJtQ8/q+8hAigJO/ZnZgoM5FTje9SqNTYIIqZEnt28sfi8OlhiGbngHoWndr3oyHerbs7wqNADL0O+eHr33+PhEnmqTe5/AqT9zWnCAPRVYggj5kQLcN3aoPPN5cWyJYdjshinWSsA2CE3tftUTO1Sh59hVaABjdlYsDnYPr/7MZ8GBMBWYbQS65rUBaJAgQj7k8983VopeHK6vPhIBSwIxGAehQex+tR0pqtB7nsW6s9yg1TM49WfwWnAgPATMNgIdTmBJECEfUoD7Rg/3fptcXhz2xiEd2hiGBJaRAeMgNLjcrxKkqELvbZx257mF9acvrry4XKVbhVN/ZrbgAFBzfWxuAJOnAksQIT9SgHdOvO6SenHwxDAkKMb2fXkGobvtOBhIV4Xew5xZ2jjlTNexgVd/ZrbgALBlBJo+FViCCPmRArxzmjEvjqJpFLPGcM4k+hLniWGIoxyhOQehu+04eBAVeuDMVVuz1RaA6YJ1pDh4u3IFu/6ctOAIgoDhpo1nBFqCCFNBCvDOiXtxHB/J33d84mePjhENDfYMJaRYKILfEbqnHQcDokIPFqfdmVksA8jqmZOTJbqFKi6f/oxeFhyz1dYTry59f27Vodw0YRqBliDCNJACvHMYPLAieoYSkq7I7wiNNOw4ICr0oInE59smS6TDSvOhhwmD/gxgpcuCY7XpOn5nqe6aOtUXKbMLNCSIkBd5fncFtQdWRM9QQtIVezpCm5lMi9K+OBU7DogKPTjmqk0G8VkxX+PTn/1OUO6y4AhdsUw6VyxmF2hs2GBtRDIQrSVEyB77YKA+FBSfvSrEumG6W2+179ts+6oDni5aU0NWjtgWJ27HcSDPNOoCYLpgnV2qAJitNke4Zlz3Hk67M7NYAb34rGh4Heg6j/7cbcFB6ooVKTF8I9BbggjDSAbPn1kqD5nGsWGbIvlUkA54V1B7YEXETx/luQah4/u+ZiZDXX2Rkh0HRIUeEGzicxwe/bnbgoPUFasRfrSZR6ATQYQ1r71Qc86t1SW2iwgpwLuC2gMrgj+UEFz7vglSseNATIXmCbroi6effvqBBx44fPiwpml/+qd/mvbD6Q2n+By9N3j0Z/Sy4CB1xWJ2gcY2QYQSyUCNFOAdovLiqT2w4nSHElI7QvMYYCVIxY4DwHTRum2y9P4TBwtXnv1evV4/efLkv/pX/yrtB7ItzOJzdByOR3/uacFB6orF7AK9XRChRDJQc8V911wt2EbGa294cZSdNrUEDWDI1NdaXhRK6PqdGksHDKDittnK0uY2cNPj9AGwDf26kSG25fri/vvvv//++9N+FG8Gs/jMPP/cbcFB7YqlXKAtI8MzAr1d11v3GpBIBkr2XQH2vN1uLqq/kNUC+J1GyxmxsvD9htPZ/V9+c2wtgO/Xfd913XwmcF2/2nQoFlV/0/M8S9fh+wDW662JHNOWXj4DveP7AZarjUM2yfszukCKP74dTtvPDaIytdvtno/ccRzHcdTP1WoVwNdfmssXKol/9sD1k7t/DAlWW+7seh3AVCE3aRnUT2wQBHPlOoDRrGYEHc8j3568XG2pD0LJ1NTVNby243oAhs0MxfVWmg6AggHP8+puu9P2AQzpVG/actNVF5jTguWGA9/PaDACv9Zy4Pu2pQ983UF9Bk3z6h4N0/bbyMnjjz+e9kMQhB3ywQ9+8DOf+cxf/+t/vfv/evTRRx977LH4b06fPp3P57kemiCkwIMPPpj2Q9gV+64A7/Ke64dLlddXa/r5mevueMcr5RaAkwdLZ5YqAN5z7YGBp3cFQfBn55YC4PrR/PhQ7vuzawDuOjK6XHdfWatrwC+87eBg1aELleaZ+TX9/Mw77nnPcN56Zn7tct0t5fSfu2Z8gKvE+fPZ1dWmN2IZ7zx6QP3mx8vVc2sNDbj/xMEo+mJQtDz/qVcX9fMzx07dddPk6GD/eE8Waq3nFsoADhdzpw6N7OZPZbPZP/7jP+75pZPogI8fP/6Vv3gxXygm/hlFB6wIgoBNqPQ876mnnrrvvvvSaoBeWKq8Vm7qGt534iDFIeD4Bb6yWn9ppQbg/hMTdENYEd+7uLLeak8MZU9NDn/z/GUAN40XTowOeHdmUK/g1d4B7zsJepcv2JCVg94EkM9loXsATNOArgPwtAzFu2HIytY8vxlow7alFnI6WjGfQ6UVAG1NH+x5+dF8oFZpBtq4aY7Y1uWWX/NhGAbR1+t4wV51O2UvyOiGKrfjhfy5ihMAdR8HBn360DTNsUKuDCw027eSXVSca0bNhUZ7rtaab7SPtvzp3W1bGobR821mmmahUIh+BvCBG6dLJfJ5qBQxTTOt79/1dgBdH7WzuSzhaXV1gXU/gK7nDd3O5ejWimh0AF0vWjkXGfVVULQtouc5xVfwCkFm2/ojmgbsbsyIvDh6xDBQhhImgo8YBqG73a/idhwUK04VbAANr8Pme3VysqROkc0sluVIJRFBEDx/af2NcsMlfoZJLTi6oR6BjiORDMxIAe4Pu+u9SO3F0TOGgS6U0MxkLEMDUPWYkoC7yy21HcfhoY1OYo4rfcEy9NsOlgA4fufMYrnf/7xWq83MzMzMzAB47bXXZmZmLly4MPAHebVTdtpvlJvPXypfrNC+rKQWHAkYRqDjSCQDM1KA+yM69R/VXWovjp4xDKShhMWcCaDKlQTcs9yS2nFY4V3ULKPv1ZGSrWKXZqutufAUzVvkueeeu/3222+//XYAv/7rv3777bd/7nOfI3mUVzNs2cCkFhwJIhdong5YIhmY2Xd7wLskKsCq7rp+R3lxuGTGEckYhsZGN3zLRNHMZCi+AkqmsQrUXD9KAo4coYk4YJkNz1flVm3KjtnZi9WWsuOgOw2s0hfYzJ9PTpYuN13X78wslsfz2dxb9vG+55579tuwZL9wZgOTWnAkiFygVQd8ueHomlbMGURFcWskgw+JZCBGbm36Q89oygOrFfPAUh94Kgl6U21ux7vh68cKx0byFA7p/EnA3e5XcTsOunXBqEJj10K08CaUHaZsYGoLjgTVrZZYZ5cq37mw8uz8OtFyWyMZ2pANYGKkAPfNRt31N+uu2hgmGsLa0gGzxDDwJwFHBkNRuR3OqfucjW6DZlEDvCo0didEC28Cm/7c7YpFirrxZU4FTkQyEK0lQArwDlC6U8vz82HdzRs6AMfvUMTI88cw9EwCJh2EHs4ZiXKb0bTpon3tsH1wiOrohZqF5s8AlonogcOrP0ez+iwFWFVc3lTgRCQD0VoCpADvAFVum+2OHdbdaDOPdBs4HsMw8NNHcaLtpYrLNAid0bQRK4sw4Vxxx9TIqUMjUwWqhoZ/FlohQvTAYdOfEd4j6hqG6aeiEi3vZkIDTQe8XSQDxVqCQgpw36gO2PWDqO5GZ4JJC3AUwwD6IEJFhWsQGoCK411veRQqQk+sMAOYWYWGCNGDhk1/RniPOGplKQywEjS2jkBHH0CiDliCCPmRAtw3/F4c0fHfIAiibphioQRq31cNQoOyA0YvOw4GogxgZhUaoRBtG3pWl5yZXcGpPzNbcDCnAksQIT/y5PaNxe/FYRoAAqDZ7kTdMMVCCXgHoWndr3oyHerbs7wqNADL0O+eHr33+PhEnsNfcA/DqT9zWnCAPRV4axChDwkipEcKcN/YofLM58WR3dz6jXfDFGslYBuEpna/6okdqtBz7Co0gDE7KxYHu4dXf+az4ECYCsw2Al3z2gA0wDYyG9NYXCng+xb5/PeNtdWLAxtHgcnNsKDmsLKb3TDFWgnYBqFB7H61HSmq0Huexbqz3KDVMzj1Z/BacCA8BMw2Ah1OYOmapskhYB6kAPdNFJDX5PLisDcO6dDGMCSwjAwYB6HRy46DgRRV6L2N0+48t7D+9MWVF5erdKtw6s/MFhwAaq6PzQ1g2hFoRGeQskY8koFoLUEhBXjnxOsuqRcHTwxDgmJs35dnELrbjoOBdFXoPcyZpY1TznQdG3j1Z2YLDgBbRqBd2hFohPf0kQs0wig2gQ4pwDunGfPiKJpGMWsM50yiL3GeGIY4JXNz35dnELrbjoMHUaEHzly1NVttAZguWEeKNtEq7Ppz0oIjCAKGmzaeEWgJIkwFKcA7J+7FcXwkf9/xiZ89OkY0NNgzlJBioQh+R+iedhwMiAo9WJx2Z2axDCCrZ05OlugWqrh8+jN6WXDMVltPvLr0/blVh3LThGkEWoII00AK8M5h8MCK6BlKSLoivyM00rDjgKjQgyYSn2+bLJEOK82HHiYM+jOAlS4LjtWm6/idpbprvuVgq35hdoGGBBHyIs/vrqD2wIpIhhIydMC9HKHNTKZFaV+cih0HRIUeHHPVJoP4rJiv8enPficod1lwhK5YJp0rFrMLNDZssDYiGYjWEiJkj30wUB8Kis9eFWLdMN2tdyIJeLpoTQ1ZOWJbnLgdx4E806gLgOmCdXapAmC22mSLB957OO3OzGIF9OKzouF1oOs8+nO3BQepK1akxPCNQG8JIgwjGTx/Zqk8ZBrHhm2K5FNBOuBdQe2BFRE/fZTnGoSO7/uamQx19UVKdhwQFXpAsInPcXj0524LDlJXrEb40WYegU4EEda89kLNObdWl9guIqQA7wpqD6wI/lBCcO37JkjFjgMxFZon6GLvwSk+R+8NHv0ZvSw4SF2xmF2gsU0QoUQyUCNP6w4xdc0LvThcFu+IIVN3/U48lJDaETpugFXgMqUbs7MXqy1lx8F5DHG6aGU0HC5YbK3bXoJZfI6Ow/Hozz0tOEhdsZhdoLcLIlyqO5BIBkrkad0hPB5YcbpDCWssHTCIj/8m2NwGZlahDf26kSGpvjuDWXxmnn/utuCgdsVSLtCWkeEZgd6u65VIBmqkA94hlqFX2n7T80ftLFicmROhhKobJl1xiwFWgXSpTYZzpq7BD7DadI+WaJVMTlptn7m6f/2VS/lCPfHLX7xhauALrTRdNvEZQBAEav55zDa59OekBQe1K1Y11vKyjkBv7XolkoEa6YD7Y7bSPLNYAZA3Njyw8qEXB8XR1XYn+NHlyrPzawu1Fk8o4UrTfWGpAoDNAOv8ev3Z+bWXVjYcg6ntOJy2//JKDUCZ0lRk64qdZ+fXvvX68l6dZBmzzDunRopZnUF8VtwxNQLg2HCeZ7mJfPbOqZETo/nIgqO7JA+WmydKAK4t2WAZgS5mjTunRm4aL5SyW7peiWSgRgpwfyw33QuVJsJMJGovDl3DT1brs9XWatPdGkq4cWs88Emlqtt+rdxEOIfJYIB1sdKarbYWak70G1I7jk6An6zWASyEMiY1y01nttpy/M6ZxTLPisxomna0ZN97bIKnxdc0bThnAphm0Z8BWIZ+tGSfPDgct+AAoGvaME1XOm5nAUwVLLCMQKsLvPFAMWfoEsnAiWgL/RFJXlHdjXtxDHxSSRlP1jx/SwyDu+HFobrhwZ6Xj/aZqp4/ApSyxmLdUYPQRPtAB2xzpemqcquSpsasLFBXdhwDPw1sm/qYbZSBuVrrFrKLijNdtKcLrblaa7bamq622MrGB64/VCoxtaQA9tU2IYMFRwTDCHQciWTgRDrg/oimATNdnzuibeAeMQyUoYSJ4COGJOBu96u4HQfFilMFG0DD67D5Xp2cLKm5uZnF8l4VolMnCILnL62/UW64xM8wqQVHN9Qj0HEkkoEZKcD9YXe9F6m9OHrGMNCFEpqZjGVoAKoeUxJwd7mltuM4PJRTP8xxpS9Yhn7bwRKAPSxEp07Zab9Rbj5/qXyxQvuyklpwJGAYgY4jkQzMSAHuj0iCjuoutRdHzxgG0lDCYs4EUOVKAu5ZbkntOKzwLmqW0ffqSMlWsUuz1dYc1/bzvoItG5jUgiNBNALN0wFLJAMz8sz2R1SA43U3OhNMsWLPGAZN026ZKL59cpjioI5KAq65PtsgdHe5VcOlLWKHE+b0BRGi6eDMBia14EgQjUCrDvhyw1ltul6H6s2zNZLBh0QyECMFuD/0jGbqGoBWrO6SenHE1OZ2vBu+fqxwbCRP4ZDOnwTcXW7Z7DjYVGiIEE1J2WHKBqa24EhQ3WqJdXap8p0LK8/OrxMttzWSQc4gkSMFuG826q6/WXfVxjDRENaWDpglhoE/CTg6TBmVW2XHgbDboFnUAK8KDRGiyWDTn6ktOBKoG1/mVOBEJAPRWgKkAO8ApTu1PD8f1l1SLw7+GIaeScCkg9DDOSNRbjOaNl20rx22D4YDUwNHzULzZwCLED1wePVnWguOBBs3wbyWWIlIBqK1BEgB3gGRB5bN4sWByITS9elOH8WJZi4qLtMgdE/3qzumRk4dGlFeBBTwz0IrRIgeOGz6MzYtOEBkwREn0fJuJjTQdMDbRTJQrCUopAD3jeqAXT/o6cVBsWJ3DANPZF6FaxAaxO5XPbHCDGBmFRoiRA8aNv0ZmxYcWQYLjsbWEejoA0jUAUsQIT9SgPuG34sjEcOAcFaCGrXvyzMI3W3HwUCUAcysQiMUom1Dz+r7yECKAk79mdmCgzkVON71Ko1NggipkSe3byx+Lw6WGIZueAehad2vejId6tuzvCo0AMvQ754evff4+ESeapN7n8CpP3NacIA9FViCCPmRAtw3dqg883lxbIlh2OyGKdZKwDYITe1+1RM7VKHn2FVoAGN2ViwOdg+v/sxnwYEwFZhtBLrmtQFokCBCPuTz3zdWil4crq8+EgFLAjEYB6FB7H61HSmq0Huexbqz3KDVMzj1Z/BacCA8BMw2Ah1OYEkQIR9SgPtGD/d+m1xeHPbGIR3aGIYElpEB4yA0uNyvEqSoQu9tnHbnuYX1py+uvLhcpVuFU39mtuAAUHN9bG4Ak6cCSxAhP1KAd0687pJ6cfDEMCQoxvZ9eQahu+04GEhXhd7DnFnaOOVM17GBV39mtuAAsGUEmj4VWIII+ZECvHOaMS+OomkUs8ZwziT6EueJYYijHKE5B6G77Th4EBV64MxVW7PVFoDpgnWkOHi7cgW7/py04AiCgOGmjWcEWoIIU0EK8M6Je3EcH8nfd3ziZ4+OEQ0N9gwlpFgogt8RuqcdBwOiQg8Wp92ZWSwDyOqZk5MluoUqLp/+jF4WHLPV1hOvLn1/btWh3DRhGoGWIMI0kAK8cxg8sCJ6hhKSrsjvCI007DggKvSgicTn2yZLpMNK86GHCYP+DGCly4Jjtek6fmep7po61Rcpsws0JIiQF3l+dwW1B1ZEz1BC0hV7OkKbmUyL0r44FTsOiAo9OOaqTQbxWTFf49Of/U5Q7rLgCF2xTDpXLGYXaGzYYG1EMhCtJUTIHvtgoD4UFJ+9KsS6Ybpbb7Xv22z7qgOeLlpTQ1aO2BYnbsdxIM806gJgumCdXaoAmK02R7hmXPceTrszs1gBvfisaHgd6DqP/txtwUHqihUpMXwj0FuCCMNIBs+fWSoPmcaxYZsi+VSQDnhXUHtgRcRPH+W5BqHj+75mJkNdfZGSHQdEhR4QbOJzHB79uduCg9QVqxF+tJlHoBNBhDWvvVBzzq3VJbaLCCnAu4LaAyuCP5QQXPu+CVKx40BMheYJuth7cIrP0XuDR39GLwsOUlcsZhdobBNEKJEM1MjTukNMXfNCLw6XxTtiyNRdvxMPJaR2hI4bYBW4TOnG7OzFakvZcXAeQ5wuWhkNhwsWW+u2l2AWn6PjcDz6c08LDlJXLGYX6O2CCJfqDiSSgRJ5WncIjwdWnO5QwhpLBwzi478JNreBmVVoQ79uZEiq785gFp+Z55+7LTioXbGUC7RlZHhGoLfreiWSgZr91QEHQVCt7tYYz/O8RqNhNRsNx192myO22ag1/UamMkYbaxO06o1aowmUyzm0Gg3HW/Kdij34D4a6wEqlAl1v1KoAFpaDQqcw8IV6ogWBU6/6AS4stYcxTLFEdIGmyTdX0mr7bNW9UqkAeOy/nLMLyVftA9cfGvhyq033JwurAA4P5UqBV6nQ3jkFQfDKpctuo1Fqt7xGneE2bbbSVB8EYzRbqfgA6l57rVwGYFobz/ZgubSy1mg0Rt1mpVKpue1atQpAy2sESwHAcsNRF9hpGpcbTqPWyGjwGvml1fWG4xXy2YFf4wA/g8Vi8eq9P9D21chJpVIZHib5ThcEQRD4KZfLpRL5rgcR+6sA774DPrtU/vGFS7/y8z/zrR+8MN8xAZycKJ25XAHwnmvHB75RGgTBvz+3GADXj+Yn8rn/39wagLunRy833FfW6hrwX79tcrB3f2+UG8+8cvFXfv5nXnj5laOHDj4zt7rUcEtZ455rxwe4Spz/fHF1teWO5Mx3XXNA/ebF5cq5tYYGvP/EZBR9MSianv/1M+d+5ed/5qnnz/7M264d7B/vyXy1+dylMoDDhdwdU6MMK1YqlaNHj/7ed57n6YAVQRCwNSKrq6vHjx9/7bXXxsbGeFZM8MOl8mvlpq5p9584SHEIOH6Br6zWfrxSA/D+EwfphrAinr6wsu54B/PZU4dGvnF+CcDNBwonxgYsgA3wFbyqO+D9JUFrmrbLe6UJL/P6ag3A2MjwuqsDGB4u5ZsBADM/VCIIV58YdWqer1nWoQOlfLkNIGMNTdpDc14GgJkvDPa8/LRp2QtrADQrXyqVplqoZeodjfBdfs1BtFbrHjBUKKpye42WnffWAHSy9uigTwOXgMPjIwDKWpbno1sqlcrIztVa60BVy06zbFsC+NDtb7t6O4M3x/M8AMViMa0LdNfcfMEYt7MjNIpa/AI7NT9f0PKGPjYyQrFWEquRN62DI3ndzucLRQAHD4yWBv2mTf0VvEKQIaz+iKYBuxszIi+OHjEMlKGE0aRlLTZ4SZoE3O1+FbfjoFjxUMEC0PQ6bL5XJydLam5uZrEsRyqJCILg+Uvrb5QbLvEzTGrB0Q31CHQciWRgRgpwf9hd70VqL46eMQx0oYRmJmMZGsIRa4ZB6O5yS23HcSgUKua40hcsQ7/tYAmA43fOLJZ5Ft1vlJ32G+Xm85fKFyu0LyupBUcChhHoOBLJwIwU4P6wDd3MZj/0oQ8Z5sZnj9qLo2cMA2ko4Whh6EMf+lAr0MCSBNyz3JLacQwX8h/60IfMbHaW0ffqSMlWsUuz1dZceIpG2Bm5XO5DH/pQLrdlx4ctG5jUgkMRXWDkAs3TAbNFMvR8BfchUoD7wzZ0M5v78Ic/DCMb1d3oTDDFij1jGDRNu2Wi+PbJ4aOlwVsOjReGPvzhD7uawZYE3F1u1YHLFo3DSS6X+/CHP2xmc8zpCyJEDwr1Csa/vjmzgUktOBTRBUYu0KoDvtxwVpuu16F682yNZPBBFsnQ/QruT6QA94ee0UxdA9CK1V1SL46Y2tyOd8PXjxWOjeQpHNL5k4C7yy2bHQebCg0RoikpO0zZwNQWHAmqWy2xzi5VvnNh5dn5daLltkYytCEbwMRIAe6bjbrrb9ZdtTFMNIS1pQNmiWHgTwKODIaicjucU/c5G90GzaIGAE4VGiJEk8GmP3e7YpGibnyZU4ETkQxEawmQArwDlO7U8vx8WHfzhg7A8TsUMfL8MQw9k4BJB6GHc0ai3GY0bbpoXztsHxyiEqmmCulkAIsQPXB49edoVp+lAKuKy5sKnIhkIFpLgBTgHaDKbbPdscO6mwtDeUm3geMxDAM/fRQnmrmobL3dptsGzmjaiJVFmHCuuGNq5NShkakCVUNzeIh7FlohQvTAYdOfEd4j6hqG6aeiEi3vZkIDTQe8XSQDxVqCQgpw36gO2PWDT/w/P/Q/vvuOv33r8Z+58brf/fSvri5eIi3A8RgGhsi8pbmLn/tfPnH8+PHpseH/+b67/u9//r+tVBt0y6k43vWWR6Ei9MQy9Sf+7b/47N9+4NQ1h0Z4LA5CRIjeMU8//fQDDzxw7bXXfvCDH3z88cfVL9n0Z4T3iKNWlsIAC8AXvvCFO++8c2xs7KMf/ejf+Jt/8+Kr5xClAkcDWTS1nyeI8OGHH7711lsPHDjw4Q9/+J3vfOc3vvGNwf79qwspwH0TeXHc/c53fer/+OI//8b3/s0fnF688PpDv/bLpNvAdc8PgiDqhikWijN3/pzbbv+bf/NvfvSjH/2Pv/m//ofHvvJPf+vzdMt123EwYGvBXe974L1/+yP8dqxKiLYNPatfrS56qVCv10+ePPm7v/u70W849WcGC47vfve7n/jEJ773ve/9w3/4D1uO+7/+3Q+3Gg2eVOB416s0NoogwiNHjvzO7/zOM88889BDD91zzz0PPvjgj370o8EucRUhG+x9Y4WazN/9xK8qj9+3T5b+xq988p9+4n+oNFogOBekbkIDoNnuDJn6WsujTgIGcPs73337Pfe+4/hEIWu89xdGXnv1laf+7z8A/gXRcnE7jgODtp/cjn/22//4G+eXvv0nj/EboluGfvf0aDFnUByy3MPcf//9999/vzIyVHDqzwwWHN/85jcBeJ73xhtv/MP/41+965brX/3R2eLJ46C3xNoaRNgATRDhAw88AMDzvFdeeeWXf/mXf+/3fu+ZZ565+eabB7vK1YJ8+PvGDnd8Iw+sxeWV//zvv3bD7Xe0NZLnM5qDiE4iqW6YYq0E0TZwo1odKo3QLUrtftUT29SV9N0JAv5UkjE7K9V39/Dqz+QWHHEWV1cAjB8Y4xmBrnltABpgG5mNaSxK+y3f9x977LF6vX7XXXfRrXKFIx1w30Sn7x0/OP2///a//8P/y2k2f+r2U5/5118m9+JwffWRUN0w0Rn5OFWnjQJW5t74xh/+Xx/59Ofqnj/wxKeIA5bZ8Hxlx8EWbzJdtAEEQNlpj7Cc7Nw/LNYdXdPGKfUMTv0ZLBYcEZ1O56HP/79vfPudt/70T4NlBDqcwNI1TSM9BPzDH/7wrrvuajabxWLxa1/72k033USxylWB3IBvy2c+8xmtF7aVm52dBdBs+//t//TJh/7kP/yfp/+daRj//DO/1qCZE7Y3DukMOIZhuwvMZrOzs7OWkQFQcdtzc3P/wy998K73/df3/Tf/Hakf1sDdr978AtW/mQ6nrGd5Z6H3PE6789zC+tMXV15c3lUA6JvDqT8zW3D83u/93vmXX/r1/+/D4QYw7Qg0ojNIWSMeyUCx0A033PCXf/mX/+yf/bNf+ZVf+ehHP/riiy9SrHJVIB3wtnzqU5/62Mc+1v17z/NefvllAM22f+jgQQwNj9x4wz+98afuf/vN/+W5v/z5478w8EeiYhhqnp/w4pjY3Z998wss5oxWyz9/4eJ/93f+5t133/3Bz/4OwoaYiLgdR34Qs5d/5SsIwDb1QlYHMFdt3Tx+FQeLXmmcWdo45UzXsYFXf+a04Pi1X/u1v/zLv/xHp79+4NDhjRFol3YEGuE9feQCjTCKbeBks9m3ve1tb3vb2/7+3//7P/jBD373d3/3i1/8IsVCVz5SgLdlYmJiYqJHjfM87/z58z7Q9Hz1UWy2O0U9AyAX+ETyad40VAFWMQzBIGIY3vwCS6bx0huzn//o3/q5v/4zX37kkf/w+kqz7ZN2wMqOww+w2nQH4nH95hcY/c9RK4vQkUNU6IEwV23NVlsApgvWkeLgxxIV7Ppz0oJDzQ0M9vMeBMGv/uqvPv744//oH/2jySPXIDoETDwCnVYQYafTcRyHepUrFinAO+QnZ//L6z/+4fvefc9Sx1y8+PqTv/d/njhx4lce/H8QtVBDWR2NzVBCVYwpFoqorS597iO/NHF4+rf+ye9cvnzZK6+tNdzh3GG6FZUdx0rTXeU6iXThwoXV1dXa0kLH91/78Qv/cc5+38/cViiQ9fj7A6fdmVksA8jqmZOTA45br9Vq586dU1PQL7963jZHCsMjJ2/j2ETstuCYrbbOLlXGbPPtk8O5Ad0BfOITnzh9+vRXv/rVixcvrl1egq4bR0pAlnwEeksQYViACWywfuM3fuP++++fmpp6/fXXf/M3f/M73/nOk08+OfBVrhakAO+QnGX9+ZNPPPYv/vd6vT46cfCB99//x3/0R3ThHolQQoYC/Px//u6lN1679MZrN1x3LPrl116eJ52QOmCbK01X2XHoGXI1+HOf+9yXv/xl9fP/62+8F8C3v/3td7/73dTr7m0i8fm2ydLAh5Wee+656AX6//zGZwDc88H/5iN/fHqwq/RkpcuCY7XpOn5nqe6a+sC60ocffhjAvffeG/1G//3f/+hHP8rjAg1gyNSXGg7IggiXlpY+8pGPLCws2LZ96tSpJ5988r777hv4KlcLUoB3yLX/1U/91pf/+I5Dw+oo8DuPjk3kCaO1kqGEDXIzrL/733/syLs/AODm8eINBwqvlxs/uFQ2M5mW36GT+8asLFBXdhwMp4EfeeSRRx55BMC5tfrZpQqA268dp150bzNXbZKKz/fcc08QBJ7nPfHEE7mb7mx0NB792e8E5S4LjtAVyxygK5aStdUF+tefmizl33FkrOa2eVygsWGDtRHJQLHQl770JYQX+P73v9809/WmjxTgwUDkgRURn70qxLrhAd56J1BJwNG+73TRmhqycoO2xUmQih0HgOmCpQrwbLUp28A7xml3ZhYroBGfu2l4Heg6w/wzellwkLpiRafS+UagtwQRhpEMnj+zVB4yjWPDNkXyqSDHkHZF5MVBFAYcET99lGcJJcTWJGAzk6GuvkjJjgMxR4453nTCPQap+LwdDPPP6GXBQeqK1Qg/2swj0IkgwprXXqg559bqEttFhBTgXeH4gUpHILLgiOAPJQRLEnA3BywTgLLjYFsUoSNHnX5zfa9CLT7Hid4bPPozellwkLpiVUNXSJ4RaGwTREgXySAo5GndIaaueUCz7dtGxh2cd8SbMGTqrt+JhxJSO0LHk4DpDLASjNnZi9WWsuMgOobYk+mildFwuGCxtW57CWbxOToOx6M/97TgIHXF2kwezG0GEdKNQG8XRLhUd0ATySAo5GndIeod2Wz76gacWoJGr1DCGksHDMok4G42t4GZVWhDv25kSKrvzmAWn+fDDEce/bnbgoPaFavmegAsI8PjAr1d16uKMUUkg6CQDniHWIZeaftNzx8NvTioV0yEEqpumHTF6I6b1AArwXDOHKwdxxVCq+0zV/evv3IpX6gnfvmLN0wNfKGVpssmPgMIgmC+1gIwZptc+nPSgoPaFasaa3kZXKC363oZIhn2OdIB98dspXlmsQIgrxrfdkf94PgdiiT5dif40eXKs/NrC7VWIpQQNBL0StN9YakCIAgCNQgN4g74/Hr92fm1l1Y2HIOVHQfCMx4Dx2n7L6/UAJQdpg7baXeenV/71uvLe3WSZcwy75waKWZ1BvFZccfUCIBjw3me5Sby2TunRk6M5iMLju6SPFhunigBuLZkg2UEupg17pwauWm8UMpu6XpJIxkESAHul+Wme6HSRJiJ5PidXHgQiGIbWNfwk9X6bLW12nS3hhJu3BoPfFKp6rZfKzcRzmHGB6GJuFhpzVZbC7VNOzo1kKzsOAa+XCfAT1brABZCGZOa5aYzW205fufMYplnRWY0TTtasu89NsHT4muaNpwzAUyz6M8ALEM/WrJPHhyOW3AA0DVtmKYrHbezAKYKFlhGoNUF3nigmDN0tkgGASJB90skeUV1N/JrarYHP6nUO4bB9VUxpggljPaZqp4/ApSyxmLdUYPQRPtA3e5XpHYctqmP2UYZmKu1bmHJPZwu2tOF1lytNVttTVdbbGXjA9cfKpWYWlIM2hL5CofCgmM7GEag47BFMgiQDrhfomnAbp9Eom3gfNjsqhgGDDqUMMGWfd+tg9CDXShCHaNU5XbjNzE7DooVpwo2gIbXKTtMw2UnJ0tqbm5msbxXhejUCYLg+Uvrb5QbLvEzTGrB0Q31CHSctCIZ9i1SgPvD7novUntxqGY3imHAxlFgKi8OM5OxDA1A1dsyeEm3DdxdbqntOA4PbZiGznFlAFuGftvBEoA9LESnTtlpv1FuPn+pfLFC+7KSWnAkYBiBjrM1kmHTnJJh6f2JFOD+iCToqO5Se3EkYhiQ6IYJ6mIxZwKoOh66GmIKepZbUjsOK7yLmmX0vTpSsqcLllp0jmv7eV/Blg1MasGRIBqB5umA412vKsBEkQyCQp7Z/ogKcLzuRmeCKVZMxjCE3fAtE8W3Tw5THNQpmQaAmuuzDUJ3l1s1XNoidjhRGcB0fz+BCNF0cGYDk1pwJIhGoFUHfLnhrDZdr0P15tkayeCDLJJBUEgB7g89o5m6BqAVq7ukXhwxtbkd74avHyscG8lTOKQXtu77MgxCd5dbNjsONhUaIkRTUnba6u1K7Y1FbcGRoLrVEuvsUuU7F1aenV8nWm5rJIOcQSJHCnDfbNRdf7Puqo1hoiGsLR0wSwxDMdzyqcQ2n0gdoaPDlFG5VXYcCLsNmkUN8KrQECGaDDb9mdqCI4G68bUNnccSq2ckA9FaAqQA7wClO7U8Px/WXVIvDv4YhugwFdsg9HDOSJTbjKZNF+1rh+2DQ1Qpy2oWmlmFhgjRBPDqz7QWHAk2boJ5LbESkQxEawmQArwDIg8sm8WLA5EJpevTnT6KE81cVFymQeie7ld3TI2cOjSivAgo4J+FVogQPXDY9GdsWnCAyIIjTqLl3UxooOmAt4tkoFhLUEgB7hvVAbt+0NOLg2LF7hgGnsi8CtcgNIjdr3pihRnAzCo0RIgeNGz6MzYtOLIMFhyNrSPQ0QeQqAOWIEJ+pAD3Db8XRyKGAeGsBDVq35dnELrbjoOBKAOYWYVGKETbhp7V95GBFAWc+jOzBQdzKnC861UamwQRUiNPbt9Y/F4cLDEM3fAOQtO6X/VkOtS3Z3lVaACWod89PXrv8fGJPNUm9z6BU3/mtOAAeyqwBBHyIwW4b+xQeebz4tgSw7DZDVOslYBtEJra/aondqhCz7Gr0ADG7KxYHOweXv2Zz4IDYSow2wh0zWsD0CBBhHzI579vrBS9OFxffSQClgRiMA5Cg9j9ajtSVKH3PIt1Z7lBq2dw6s/gteBAeAiYbQQ6nMCSIEI+pAD3jR7u/Ta5vDjsjUM6tDEMCSwjA8ZBaHC5XyVIUYXe2zjtznML609fXHlxuUq3Cqf+zGzBAaDm+tjcACZPBZYgQn6kAO+ceN0l9eLgiWFIUIzt+/IMQnfbcTCQrgq9hzmztHHKma5jA6/+zGzBAWDLCDR9KrAEEfIjBXjnNGNeHEXTKGaN4ZxJ9CXOE8MQRzlCcw5Cd9tx8CAq9MCZq7Zmqy0A0wXrSHHwduUKdv05acERBAHDTRvPCLQEEaaCFOCdE/fiOD6Sv+/4xM8eHSMaGuwZSkixUAS/I3RPOw4GRIUeLE67M7NYBpDVMycnS3QLVVw+/Rm9LDhmq60nXl36/tyqQ7lpwjQCLUGEaSAFeOcweGBF9AwlJF2R3xEaadhxQFToQROJz7dNlkiHleZDDxMG/RnASpcFx2rTdfzOUt01daovUmYXaEgQIS/y/O4Kag+siJ6hhKQr9nSENjOZFqV9cSp2HBAVenDMVZsM4rNivsanP/udoNxlwRG6Ypl0rljMLtDYsMHaiGQgWkuIkD32wUB9KCg+e1WIdcN0t95q37fZ9lUHPF20poasHLEtTtyO40CeadQFwHTBOrtUATBbbY5wzbjuPZx2Z2axAnrxWdHwOtB1Hv2524KD1BUrUmL4RqC3BBGGkQyeP7NUHjKNY8M2RfKpIB3wrqD2wIqInz7Kcw1Cx/d9zUyGuvoiJTsOiAo9INjE5zg8+nO3BQepK1Yj/Ggzj0AngghrXnuh5pxbq0tsFxFSgHcFtQdWBH8oIbj2fROkYseBmArNE3Tx1vnt3/7tu+++O5/Pj4yMpP1Y3gxO8Tl6b/Doz+hlwUHqisXsAo1tggglkoEaKcA7ROXFU3tgxekOJaR2hOYxwEqQih0HgOmiddtk6f0nDhauMPs913X/1t/6W3/v7/29tB/Im8EsPkfH4Xj0554WHKSuWMwu0NsFEUokAzVX1nfNVYRtZLz2hhdH2WlTS9AAhkx9reVFoYSu36mxdMAAKm6brSxtbgM3PU4fANvQrxsZYlvurfNbv/VbAB555JG0H8ibwSw+M88/d1twULtiKRdoy8jwjEBv1/XWvQYkkoGSfVeAPW+3m4vqL2S1AH6n0XJGrCx8v+F0dv+X3xxbC+D7dd93XTefCVzXrzYdikXV3/Q8z9J1+D6A9XprIse0pZfPQO/4foDlauOQTfL+jC6Q4o9vh9P2c7uoTL7v400fs+M4juOon6vVKoCvvzSXL1QS/+yB6yd3/Bi2Y7Xlzq7XAUwVcpOWQf3EBkEwV64DGM1qRtDxPPLtycvVlvoglExNXV3DazuuB2DYzFBcb6XpACgY8Dyv7rY7bR/AkE71pi03XXWBOS1Ybjjw/YwGI/BrLQe+b1v6wNcd1GfQNK/u0TBtv42cPP7442k/BEHom29961tf+tKXTp8+vd0/ePTRRx977LH4b06fPp3P5+kfmiCkxoMPPpj2Q9gV+64A7/Ke64dLlddXa/r5mevueMcr5RaAkwdLZ5YqAN5z7YGBp3cFQfBn55YC4PrR/PhQ7vuzawDuOjK6XHdfWatrwC+87eBg1aELleaZ+TX9/Mw77nnPcN56Zn7tct0t5fSfu2Z8gKvE+fPZ1dWmN2IZ7zx6QP3mx8vVc2sNDbj/xMEo+mJQtDz/qVcX9fMzx07dddPk6GD/eE8Waq3nFsoADhdzpw6NJP7fz372sw899FDP//Ds2bM33nij+vkP/uAPPvWpT12+fHm7VRId8PHjx7/yFy/mC8XEP6PogBVBELAJlZ7nPfXUU/fdd19aDdALS5XXyk1dw/tOHKQ4BBy/wFdW6y+t1ADcf2KCbggr4nsXV9Zb7Ymh7KnJ4W+evwzgpvHCidEB784M6hW82jvgfSdB7/IFG7Jy0JsA8rksdA+AaRrQdQCelqF4NwxZ2ZrnNwNt2LbUQk5HK+ZzqLQCoK3pgz0vP5oP1CrNQBs3zRHbutzyaz4MwyD6eh0v2Ktup+wFGd1Q5Xa8kD9XcQKg7uPAoE8fmqY5VsiVgYVm+1ayi4pzzai50GjP1VrzjfbRlj+9ddvy05/+9Mc//vGe/+F1110XvaN0XcebvntN0ywUCtHPAD5w43SpRD4PlSKmaab1/bveDqDro3Y2lyU8ra4usO4H0PW8odu5HN1aEY0OoOtFK+cio74KirZF9Dyn+ApeIey7ArxLomnA7saMyIsjbxo1z49iGAKg7rUPDm18FOtee7AFOBF8FB+EJprDGrOyQF25XynzDWo7jqmCXQYaXqfstHlsN05Oli43XdfvzCyWx/PZXMw+ZWJiYmJiguEx7HmCIPjBYnnczk4VrCyZQQ2ILTi6oR6BjiORDMzIcHl/2F3vRWovjp4xDHShhGYmYxkagKrHlAQcL7fqB2o7jsPh7cscV/qCZei3HSwBcPzOmcVyX//thQsXZmZmLly44Pv+zMzMzMxMrVajeZhXN2Wn/Ua5+fyl8sUK7ctKasGRgGEEOo5EMjAjBbg/olP/Ud2l9uLoGcNAGkpYzJkAqlxJwD3LLakdhxXeRc0y+l4dKdkqdmm22poLT9G8FT73uc/dfvvtn//852u12u2333777bc/99xzZA/zKoYtG5jUgiNB5ALN0wFLJAMz8sz2R1SA43WX1IujZwyDpmm3TBTfPjl8tDR4yyGVBFxzfbYk4O5yy2PHwZy+cHKypN4zM4vlt+7t98gjjwRbueeeewgf5dUJZzYwqQVHgsgFWnXAlxvOatP1OlQnr7ZGMviQSAZipAD3h57RlAdWK1Z31QeeSoLeVJvb8W74+rHCsZE8hUM6fxJwd7mN23HQrQtGFRq7E6KFN6fsMGUDU1twJKhutcQ6u1T5zoWVZ+fXiZbbGsnQhmwAEyMFuG826q6/WXfVxjDRENaWDpglhoE/CTgyGIrK7XBO3edsdBs0ixrgVaGxCyFaeHPY9OduVyxS1I0vcypwIpKBaC0BUoB3gNKdWp6fD+tu3tABOH6HIkaeP4ahZxIwqSP0cM5IlNuMpk0X7WuH7Wjee+BMFdLJAN6ZEC28Cbz688Y9IlMBVhWXNxU4EclAtJYAKcA7QJXbZrtjh3U3OlVCug0cj2GoU8YwRDMXFZdpEDqjaSNWFmHCueKOqZFTh0amClQNDf8stEKE6IHDpj8jvEfUNQzTT0UlWt7NhAaaDni7SAaKtQSFFOC+UR2w6wdR3Y3OBJMW4CiGAfRBhIoK1yA0ABXHu97yKFSEnlhhBjCzCg0RogcNm/6M8B5x1MpSGGAlaGwdgY4+gEQdsAQR8iMFuG/4vTii479BEETdMMVCCdS+L88gtDpSqew46FZJEGUAM6vQCIVo29CzuuTM7ApO/ZnZgoM5FViCCPmRJ7dvLH4vDtMAEADNdifqhikWSsA7CJ2042BgOtS3Z3lVaACWod89PXrv8fGJPIe/4B6GU3/mtOAAeyrw1iBCHxJESI8U4L6xQ+WZz4sju7n1G++GKdZKwDYITe1+1RM7VKHn2FVoAGN2ViwOdg+v/sxnwYEwFZhtBLrmtQFogG1kNqaxuFLA9y3y+e8bK0UvDtdXH4mATO5OwDYIDWL3q+1IUYXe8yzWneUGrZ7BqT+D14ID4SFgthHocAJL1zRNDgHzIAW4b6KAvCaXF4e9cUhnswMG8SA0AMvIgHEQGlzuVwlSVKH3Nk6789zC+tMXV15crtKtwqk/M1twAKi5PjY3gGlHoBGdQcoa8UgGorUEhRTgnROvu6ReHDwxDAmKsX1fnkHobjsOBtJVofcwZ5Y2TjnTdWzg1Z+ZLTgAbBmBdmlHoBHe00cu0ADyMgJNjBTgndOMeXEUTaOYNYZzJtGXOE8MQxzlCM05CN1tx8GDqNADZ67amq22AEwXrCPFwduVK9j156QFh7Lmpl6XZwRagghTQQrwzol7cRwfyd93fOJnj44RDQ32DCWkWCiC3xG6px0HA6JCDxan3ZlZLAPI6pmTkyW6hSoun/6MXhYcs9XWE68ufX9u1aHcNGEagZYgwjSQArxzGDywInqGEpKuyO8IjTTsOCAq9KCJxOfbJkukw0rzoYcJg/4MYKXLgmO16Tp+Z6numjrVFymzCzQkiJAXeX53BbUHVkTPUELSFXs6QpuZTIvSvjgVOw6ICj045qpNBvFZMV/j05/9TlDusuAIXbFMOlcsZhdobNhgbUQyEK0lRMge+2CgPhQUn70qxLphultvte/bbPuqA54uWlNDVo7YFidux3EgzzTqAmC6YJ1dqgCYrTZHuGZc9x5OuzOzWAG9+KxoeB3oOo/+3G3BQeqKFSkxfCPQW4IIw0gGz59ZKg+ZxrFhmyL5VJAOeFdQe2BFxE8f5bkGoeP7vmYmQ119kZIdB0SFHhBs4nMcHv2524KD1BWrEX60mUegE0GENa+9UHPOrdUltosIKcC7gtoDK4I/lBBc+74JUrHjQEyF5gm62Htwis/Re4NHf0YvCw5SVyxmF2hsE0QokQzUyNO6Q0xd80IvDpfFO2LI1F2/Ew8lpHaEjhtgFbhM6cbs7MVqS9lxcB5DnC5aGQ2HCxZb67aXYBafo+NwPPpzTwsOUlcsZhfo7YIIl+oOJJKBEnladwiPB1ac7lDCGksHDOLjvwk2t4GZVWhDv25kSKrvzmAWn5nnn7stOKhdsZQLtGVkeEagt+t6JZKBGumAd4hl6JW23/T8UTsLFmfmRCih6oZJV9xigFUgXWqT4Zypa/ADrDbdoyVaJZOTVttnru5ff+VSvlBP/PIXb5ga+EIrTZdNfAYQBIGafx6zTS79OWnBQe2KVY21vKwj0Fu7XolkoEY64P6YrTTPLFYA5I0ND6x86MVBcXS13Ql+dLny7PzaQq3FE0q40nRfWKoAYDPAOr9ef3Z+7aWVDcdgajsOp+2/vFIDUKY0Fdm6YufZ+bVvvb68VydZxizzzqmRYlZnEJ8Vd0yNADg2nOdZbiKfvXNq5MRoPrLg6C7Jg+XmiRKAa0s2WEagi1njzqmRm8YLpeyWrlciGaiRAtwfy033QqWJMBOJ2otD1/CT1fpstbXadLeGEm7cGg98Uqnqtl8rNxHOYTIYYF2stGarrYWaE/2G1I6jE+Anq3UAC6GMSc1y05mtthy/c2axzLMiM5qmHS3Z9x6b4GnxNU0bzpkApln0ZwCWoR8t2ScPDsctOADomjZM05WO21kAUwULLCPQ6gJvPFDMGbpEMnAi2kJ/RJJXVHfjXhwDn1RSxpM1z98Sw+BueHGobniw5+Wjfaaq548ApayxWHfUIDTRPtAB21xpuqrcqqSpMSsL1JUdx8BPA9umPmYbZWCu1rqF7KLiTBft6UJrrtaarbamqy22svGB6w+VSkwtKYB9tU3IYMERwTACHUciGTiRDrg/omnATNfnjmgbuEcMA2UoYSL4iCEJuNv9Km7HQbHiVMEG0PA6bL5XJydLam5uZrG8V4Xo1AmC4PlL62+UGy7xM0xqwdEN9Qh0HIlkYEYKcH/YXe9Fai+OnjEMdKGEZiZjGRqAqseUBNxdbqntOA4P5dQPc1zpC5ah33awBGAPC9GpU3bab5Sbz18qX6zQvqykFhwJGEag40gkAzNSgPsjkqCjukvtxdEzhoE0lLCYMwFUuZKAe5ZbUjsOK7yLmmX0vTpSslXs0my1Nce1/byvYMsGJrXgSBCNQPN0wBLJwIw8s/0RFeB43Y3OBFOs2DOGQdO0WyaKb58cpjioo5KAa67PNgjdXW7VcGmL2OGEOX1BhGg6OLOBSS04EkQj0KoDvtxwVpuu16F682yNZPAhkQzESAHuDz2jmboGoBWru6ReHDG1uR3vhq8fKxwbyVM4pPMnAXeXWzY7DjYVGiJEU1J2mLKBqS04ElS3WmKdXap858LKs/PrRMttjWSQM0jkSAHum42662/WXbUxTDSEtaUDZolh4E8Cjg5TRuVW2XEg7DZoFjXAq0JDhGgy2PRnaguOBOrGlzkVOBHJQLSWACnAO0DpTi3Pz4d1l9SLgz+GoWcSMOkg9HDOSJTbjKZNF+1rh+2D4cDUwFGz0PwZwCJEDxxe/ZnWgiPBxk0wryVWIpKBaC0BUoB3QOSBZbN4cSAyoXR9utNHcaKZi4rLNAjd0/3qjqmRU4dGlBcBBfyz0AoRogcOm/6MTQsOEFlwxEm0vJsJDTQd8HaRDBRrCQopwH2jOmDXD3p6cVCs2B3DwBOZV+EahAax+1VPrDADmFmFhgjRg4ZNf8amBUeWwYKjsXUEOvoAEnXAEkTIjxTgvuH34kjEMCCclaBG7fvyDEJ323EwEGUAM6vQCIVo29Cz+j4ykKKAU39mtuBgTgWOd71KY5MgQmrkye0bi9+LgyWGoRveQWha96ueTIf69iyvCg3AMvS7p0fvPT4+kafa5N4ncOrPnBYcYE8FliBCfqQA940dKs98XhxbYhg2u2GKtRKwDUJTu1/1xA5V6Dl2FRrAmJ0Vi4Pdw6s/81lwIEwFZhuBrnltABokiJAP+fz3jZWiF4frq49EwJJADMZBaBC7X21Hiir0nmex7iw3aPUMTv0ZvBYcCA8Bs41AhxNYEkTIhxTgvtHDvd8mlxeHvXFIhzaGIYFlZMA4CA0u96sEKarQexun3XluYf3piysvLlfpVuHUn5ktOADUXB+bG8DkqcASRMiPFOCdE6+7pF4cPDEMCYqxfV+eQehuOw4G0lWh9zBnljZOOdN1bODVn5ktOABsGYGmTwWWIEJ+pADvnGbMi6NoGsWsMZwzib7EeWIY4ihHaM5B6G47Dh5EhR44c9XWbLUFYLpgHSkO3q5cwa4/Jy04giBguGnjGYGWIMJUkAK8c+JeHMdH8vcdn/jZo2NEQ4M9QwkpForgd4TuacfBgKjQg8Vpd2YWywCyeubkZIluoYrLpz+jlwXHbLX1xKtL359bdSg3TZhGoCWIMA2kAO8cBg+siJ6hhKQr8jtCIw07DogKPWgi8fm2yRLpsNJ86GHCoD8DWOmy4Fhtuo7fWaq7pk71RcrsAg0JIuRFnt9dQe2BFdEzlJB0xZ6O0GYm06K0L07FjgOiQg+OuWqTQXxWzNf49Ge/E5S7LDhCVyyTzhWL2QUaGzZYG5EMRGsJEbLHPhioDwXFZ68KsW6Y7tZb7fs2277qgKeL1tSQlSO2xYnbcRzIM426AJguWGeXKgBmq80RrhnXvYfT7swsVkAvPisaXge6zqM/d1twkLpiRUoM3wj0liDCMJLB82eWykOmcWzYpkg+FaQD3hXUHlgR8dNHea5B6Pi+r5nJUFdfpGTHAVGhBwSb+ByHR3/utuAgdcVqhB9t5hHoRBBhzWsv1Jxza3WJ7SJCCvCuoPbAiuAPJQTXvm+CVOw4EFOheYIu3iKvv/76xz/+8ePHj9u2feLEic9//vOuyzoi/tbhFJ+j9waP/oxeFhykrljMLtDYJohQIhmokad1h5i65oVeHC6Ld8SQqbt+Jx5KSO0IHTfAKnCZ0o3Z2YvVlrLj4DyGOF20MhoOFyy21u2t8NJLL3U6nS9+8Ytve9vbXnjhhV/+5V+u1+sPPfRQ2o8rCbP4HB2H49Gfe1pwkLpiMbtAbxdEuFR3IJEMlEgB3iG2kfHaG14cZadNLUEDGDL1tZYXhRK6fqfG0gEDqLhtxgIcbgM3Pc4CbBv6dSNDbMu9Rd73vve9733vUz9fd911L7/88sMPP3wFFmBm8Zl5/rnbgoPaFUu5QFtGhmcEeruut+41IJEMlOy7Aux5u91cVH8hqwXwO42WM2Jl4fsNp7P7v/zm2FoA36/7vuu6+Uzgun616VAsqv6m53mWrsP3AazXWxM5pr4wn4He8f0Ay9XGIZvk/RldIMUf3w6n7ed2XZlWV1dHR0d7PnLHcRzHUT9Xq1UAX39pLl+oJP7ZA9dP7vIx9HhULXd2vQ5gqpCbtAzqJzYIgrlyHcBoVjOCjueRb09errbUB6FkaurqGl7bcT0Aw2aG4norTQdAwYDneXW33Wn7AIZ0qjdtuemqC8xpwXLDge9nNBiBX2s58H3b0ge+7qA+g6Z5dY+Gaftt5OTxxx9P+yEIwk5YWFj41Kc+9bGPfey9731v9//76KOPPvbYY/HfnD59Op/Pcz06QUiBBx98MO2HsCv2XQHe5T3XD5cqr6/W9PMz193xjlfKLQAnD5bOLFUAvOfaAwNP7wqC4M/OLQXA9aP58aHc92fXANx1ZHS57r6yVteAX3jbwcGqQxcqzTPza/r5mXfc857hvPXM/NrlulvK6T93zfgAV4nz57Orq01vxDLeefSA+s2Pl6vn1hoacP+Jg1H0xaBoef5Try7q52eOnbrrpsnRwf7xnizUWs8tlAEcLuZOHRpJ/L+f/exnt5OUz549e+ONN6qf5+bm7r333ne9611f/OIXe/7jRAd8/Pjxr/zFi/lCMfHPKDpgRRAEbEKl53lPPfXUfffdl1YD9MJS5bVyU9fwvhMHKQ4Bxy/wldX6Sys1APefmKAbwor43sWV9VZ7Yih7anL4m+cvA7hpvHBidMC7M4N6Ba/2DnjfSdC7fMGGrBz0JoB8LgvdA2CaBnQdgKdlKN4NQ1a25vnNQBu2LbWQ09GK+RwqrQBoa/pgz8uP5gO1SjPQxk1zxLYut/yaD8MwiL5exwv2qtspe0FGN1S5HS/kz1WcAKj7ODDo04emaY4VcmVgodm+leyi4lwzai402nO11nyjfbTlT2/dtvz0pz/98Y9/vOd/eN1116l31Pz8/Hvf+96777773/7bf5vZ5ivYNM1CoRD9DOADN06XSuTzUClimmZa37/r7QC6Pmpnc1nC0+rqAut+AF3PG7qdy9GtFdHoALpetHIuMuqroGhbRM9ziq/gFcK+K8C7JJoG7G7MiLw48qZR8/wohiEA6l774NDGR7HutQdbgBPBRwyD0GNWFqgr9ytlvkFtxzFVsMtAw+uUnTaP7cbJydLlpuv6nZnF8ng+m4vZp0xMTExMTLzJfzs3N/fud7/71KlTv//7v79d9RUABEHwg8XyuJ2dKlhZMoMaEFtwdEM9Ah1HIhmYkc9zf9hd70VqL46eMQx0oYRmJmMZGoCqx5QEHC+36gdqO47D4e3LHFf6gmXotx0sAXD8zpnF8lv/D+fm5u65555rrrnmoYceunz58qVLly5dukT2MK9uyk77jXLz+UvlixXal5XUgiMBwwh0HIlkYEY64P6ITv1HdVd5cdAdBU7EMCS7YYK6WMyZq0C1Owm4MPClgLDcNjw/Xm4PWGbD85Udx8BVYiu8i5qttm4aL/LsXB4p2XPV1lytNVttTVdb02/t/MxTTz117ty5c+fOHTlyJPrlfpvbeIuwZQOTWnAkiFygeTrgeNe71HAgkQzEyDPbH1EBjntgKV2atABjawyDpmm3TBTfPjl8tDR4yyGVBFxzfbYk4G73K3XgskXscMKcvnBysqTeMzOL5bfo7fexj30s6IL4YV6VcGYDk1pwJIhcoFUHfLnhrDZdr0N18mprJIMPiWQgRgpwf+gZzdQ1AK1Y3VUfeCoJelNtbse74evHCsdG8hQO6fxJwN3lNm7HQbcuGFVo7EKIFv5Kyg5TNjC1BUeC6lZLrLNLle9cWHl2fp1oua2RDG3IBjAxUoD7ZqPu+pt1V20MEw1hbemAWWIY+JOAI4OhqNwO59R9zka3QbOoAWCWN33hSMmeLlhq3bnQzknYPWz6c7crFinqxpc5FTgRyUC0lgApwDvACutuPqy7eUMH4Pgdihh5/hiGnknAUUNMwXDOSJTbjKZNF+1rh+1o3nvgTBXSyQDegRAtvDm8+vPGPSJTAVYVlzcVOBHJQLSWACnAO0CV21a7Y4d1NzpVQroNHI9hqFPGMEQzFxWXaRA6o2kjVhZhwrnijqmRU4dGpgpUDQ3/LLRChOiBw6Y/I7xH1DUM009FJVrezYQGmg54u0gGirUEhRTgvlEdsOsHUd2NzgSTFuAohgH0QYSKSvcgNBkqjne95VGoCD2xwgxgZhUaIkQPGjb9GeE94qiVpTDAStDYOgIdfQCJOmAJIuRHCnDf8HtxRMd/gyCIumGKhRKofV+eQWh1pFLZcdCtkiDKAGZWoREK0bahZ3XJmdkVnPozswUHcypwvOtVGpsEEVIjT27fWPxeHKYBIACa7U7UDVMslIB3EDppx8HAdKhvz/Kq0AAsQ797evTe4+MTeQ5/wT0Mp/7MacEB9lTgrUGEPiSIkB4pwH1jh8pzwosDdBJ0dnPrN94NU6yVgG0Qmtr9qid2qELPsavQAMbsrFgc7B5e/ZnPggNhKjDbCHTNawPQANvIbExjcaWA71vk8983VopeHK6vPhIBmdydgG0QGr3sOBhIUYXe8yzWneUGrZ7BqT+D14ID4SFgthHocAJL1zRNDgHzIAW4b6KAvCaXF4e9cUhnswMG8SA0AMvIgHEQGlzuVwlSVKH3Nk6789zC+tMXV15crtKtwqk/M1twAKi5PjY3gGlHoBGdQcoa8UgGorUEhRTgnROvu6ReHDwxDAmKsX1fnkHobjsOBtJVofcwZ5Y2TjnTdWzg1Z+ZLTgAbBmBdmlHoBHe0w+ZejySgWgtQSEFeOc0Yl4cRdMoZo3hnEn0Ja4+CVEMA2hiGOIoR2jOQehuOw4eRIUeOHPV1my1BWC6YB0pDt6uXMGuPyctOHisuXlGoCWIMBWkAO+cuBfH8ZH8fccnfvboGNHQYM9QQoqFIvgdoXvacTAgKvRgcdqdmcUygKyeOTlZoluo4vLpz+hlwTFbbT3x6tL351Ydyk0TphFoCSJMAynAO4fBAysiEUoIBgma3REaadhxQFToQROJz7dNlkiHleZDDxMG/RnASpcFx2rTdfzOUt01daovUmYXaMQkaAkiZECe311B7YEV0TOUkHTFno7QZibTorQvTsWOA6JCD465apNBfFbM1/j0Z78TlLssOEJXLJPOFYvZBRobNlgbkQxEawkRssc+GKgPBcVnrwqxbpju1lvt+zbbvuqAp4vW1JCVI7bFidtxHMgzjboAmC5YZ5cqAGarzRGuGde9h9PuzCxWQC8+KxpeB7rOoz93W3CQumJFSgzfCPSWIMKN80hEawkR0gHvCmoPrIj46aM81yB0fN/XzGSoqy9SsuOAqNADgk18jsOjP3dbcJC6YjXCjzbzCLQEETIjBXhXUHtgRfCHEoJr3zdBKnYciKnQPEEXew9O8Tl6b/Doz+hlwUHqisXsAg0JIkwJucfZIaaueaEXh8viHTFk6q7fiYcSUjtCxw2wClymdGN29mK1pew4OI8hThetjIbDBYutddtLMIvP0XE4Hv25pwUHqSsWswu0BBGmhXTAO4THAytOdyhhjaUDBvHx3wSb28DMKrShXzcyJNV3ZzCLz8zzz90WHNSuWMoF2jIyPCPQEkSYFvIU7xDL0Cttv+H56jPJ4MycCCVU3TDpilsMsAqkS20ynDN1DX6A1aZ7tESrZHLSavvM1f3rr1zKF+qJX/7iDVMDX2il6bKJzwCCIFDzz2O2yaU/Jy04qF2xqrGWl3UE2tSX6g4kiJALeYr7Y7bSPLNYAZA3dACtdicfenFQHF1td4IfXa48O7+2UGvxhBKuNN0XlioA2Aywzq/Xn51fe2llwzGY2o7Dafsvr9QAlClNRbau2Hl2fu1bry87lCe4UmTMMu+cGilmdQbxWXHH1AiAY8N5nuUm8tk7p0ZOjOYjC47ukjxYbp4oAbi2ZINlBLqYNe6cGrlpvFDKShAhK1KA+2O56V6oNBFmIlF7cegafrJan622Vpvu1lDCjVvjgU8qVd32a+UmwjlMBgOsi5XWbLW1UHOi35DacXQC/GS1DmAhlDGpWW46s9WW43fOLJZ5VmRG07SjJfveYxM8Lb6macM5E8A0i/4MwDL0oyX75MHhuAUHAF3Thmm60nE7C2CqYIFlBFpd4I0HijlDlyBCTuRZ7o9I8orqbtyLY+CTSsp4sub5W2IY3A0vDtUND/a8fLTPVPX8EaCUNRbrjhqEJrojPmCbK01XlVuVNDVmZYG6suMY+Glg29THbKMMzNVat5BdVJzpoj1daM3VWrPV1nS1xVY2PnD9oVKJqSUFsK8aJgYLjgiGEeg4EkTIiXTA/RHti2S6PndE28A9YhgoQwkTwUcMScDd7ldxOw6KFacKNoCG12HzvTo5WVJzczOL5b0qRKdOEATPX1p/o9xwiZ9hUguObqhHoONIECEzUoD7w+56X1J7cfSMYaALJTQzGcvQAFQ9piTg7nJLbcdxeCinfpjjSl+wDP22gyUAe1iITp2y036j3Hz+UvlihfZlJbXgSMAwAh1HggiZkQLcH5EEHdVdai+OnjEMpKGExZwJoMqVBNyz3JLacVjhXdQso+/VkZKtYpdmq605ru3nfQVbNjCpBUeCaASapwOWIEJmpAD3R1SA43U3OhNMsWLPGAZN026ZKL59cpjioI5KAq65PtsgdHe5VcOlLWKHE+b0BRGi6eDMBia14EgQjUAzd8Big8WDFOD+0DOaqWsAWrG6S+rFEVOb2/Fu+PqxwrGRfCk3+Htw/iTg7nLLZsfBpkJDhGhKyg5TNjC1BUeC6lZLLGrikQwMywnyLPfNRt31N+puw/PVxjDRENaWDpglhoE/CTg6TBmVW2XHgbDboFnUAK8KDRGiyWDTn6ktOBKoG1+VCsywXBTJwLCWACnAO8AK+131NqX24uCPYeiZBEw6CD2cMxLlNqNp00X72mH7YDgwNXDULDR/BrAI0QOHV3+mteBIsHETzNL+IhbJwLOcIAW4byIPLJvFiwORCaXr050+ihPda1dcpkHonu5Xd0yNnDo0orwIKOCfhVaIED1w2PRnbFpwgMiCIw7zCLQEEfIjBbhvVAfs+kFPLw6KFbtjGHgi8ypcg9Agdr/qiRVmADOr0BAhetCw6c/YtODIMlhwNHhHoCWIkB8pwH3D78WRiGFAOCtBjdr35RmE7rbjYCDKAGZWoREK0bahZ/V9ZCBFAaf+zGzBkUgFpkaCCPmRAtw3Fr8XB0sMQze8g9C07lc9mQ717VleFRqAZeh3T4/ee3x8Ik+1yb1P4NSfOS040JUKTI0EEfIjBbhv7FB55vPi2BLDsNkNU6yVgG0Qmtr9qid2qELPsavQAMbsrBz22D28+jOfBQfCVGC2Eeia1wagQYII+ZAnum+sFL04XF+llAQsCcRgHIQGsfvVdqSoQu95FuvOcoNWz+DUn8FrwYHwEDDbCHQ4gSVBhHxIAe4bPdz7bXJ5cdgbh3RoYxgSWEYGjIPQ4HK/SpCiCr23cdqd5xbWn7648uJylW4VTv2Z2YIDQM31wbUBjOgMkgQRMiIFeOdEdZfai4MnhiFBMbbvyzMI3W3HwUC6KvQe5szSxiln0gaOU39mtuAAwDkCDQkiTAMpwDunEfPiKJpGMWsM50yiL3GeGIY4yhGacxC6246DB1GhB85ctTVbbQGYLlhHioO3K1ew68+sFhwRPB2wBBGmghTgnRP34jg+kr/v+MTPHh0j2j7pGUpIsVAEvyN0TzsOBkSFHixOuzOzWAaQ1TMnJ0t0C1VcPv0ZvBYccbhykCSIMAWkAO8cBg+siJ6hhKQr8jtCIw07DogKPWgi8fm2yRLpsNJ86GHCoD8DWGG04IhgdoGGdMC8SAHeFdQeWBE9QwlJV+zpCG1mMi1K++JU7DggKvTgmKs2GcRnxXyNT3/2O0GZ0YIjgtkFGmKDxYuoDYOBaP45Ih5KWIh1w6ZOdQul9n2bbV91wNNFa2rIyhEfEIzbcRzI8+20TRess0sVALPV5gjXjOvew2l3ZhYroBefFQ2vA13n0Z+ZLTgiJYZvBFqCCNNAnutdsemBRXwqN94B57kGoeP7vmYmQ119kZIdB0SFHhBs4nMcHv2Z2YKjEX60mUegJYiQGSnAu4LaAyuCP5QQXPu+CVKx40BMheYJunjrfOADH7jmmmssy5qamvo7f+fvzM/Pp/2IesMpPkfvDR79GSlYcLC6QEOCCFNCCvAOUR761B5YcbpDCakdoXkMsBKkYscBYLpo3TZZev+Jg4UrzIjg3e9+9x/90R+9/PLLX/3qV1999dVf+qVfSvsR9YBZfI6Ow/Hoz/wWHMwu0BJEmBbydO8Qy8i47Q0vjrLTbtCXqCFTX2t5USih63dqLB0wgIrbZitLm9vATY/zRIRt6NeNDLEt99b5B//gH6gfrr322s985jMf/OAHPc8zzStro5pZfGaef+a34FAu0JbBtCMrQYRpse8KsOftdnNR/YWsFsDv1FvOmJWF7zedzu7/8ptjawF8v+77ruvmM4Hr+tWmQ7Go+pue51m6Dt8HsF5vTeSYPpn5DPSO7wdYrjYO2STvz+gCKf74djhtP7e7yrS6uvqVr3zlrrvuQq8H7ziO4zjq52q1CuDrL83lC5XEP3vg+sndPIbeD6zlzq7XAUwVcpOWQf3EBkEwV64DGM1qRtDxPHJT9MvVlvoglEyN521TaToACgbTu7TcdNUF5rSAZ8VBfQavtDvRftH228jJ448/nvZDEIT++PKXv/zEE084jnPDDTf85m/+ZqnUQ+N99NFHH3vssfhvTp8+nc/nuR6jIKTAgw8+mPZD2BX7rgDv8p7rh0uV11dr+vmZ6+54xyvlFoCTB0tnlioA3nPtgYH7mAdB8GfnlgLg+tH8+FDu+7NrAO46Mrpcd19Zq2vAL7zt4GC9ty5Ummfm1/TzM++45z3DeeuZ+bXLdbeU03/umvEBrhLnz2dXV5veiGW88+gB9ZsfL1fPrTU04P4TB6Poi0HR8vynXl3Uz88cO3XXTZOjg/3jPVmotZ5bKAM4XMydOjSS+H8/+9nPPvTQQz3/w7Nnz954440AlpeXV1dXL1y48I//8T8eHh7+0z/90+4XPdEBHz9+/Ct/8WK+UEz8M4oOWBEEAVuKjud5Tz311H333Xe1N0DbIRf4Frnan599J0Hv8gUbsnLQmwDyuSx0D4BpGtB1AJ6WoXg3DFnZmuc3A23YzqmFnI5WzOdQaQVAW9MHe3JgNB+oVZqBNm6aI7Z1ueXXfBiGQfT1Ol6wV91O2QsyuqHK7Xghf67iBEDdx4HcgJ9S0zTHCrkysNBs30p2UXGuGTUXGu25Wmu+0T7a8qe3blt++tOf/vjHP97zP7zuuuvUO2pqampqaurmm2/+6Z/+6aNHjz7//PNKiI5jmmahUIh+BvCBG6d79sp7BtM0r/bv3zdHLnDPs+8K8C6Joqq7GzMiL468adQ8v+75KpQwAOpe++BQTv2/da892AKcCD6KD0ITzWGNWVmgrtyvlPkGtR3HVMEuAw2vU3baPLYbJydLl5uu63dmFsvj+WwuZp8yMTExMTHxFv9Op9MBEHW6giBc1cgxpP6wo2oXFmBqL46eMQx0oYRmJmMZGoCq64ElCThebtUP1HYch8Pblzmu9AXL0G87WALg+J0zi+W3/h/+xV/8xb/8l/9yZmbmjTfe+Pa3v/3hD3/4xIkT3e2vIAhXI1KA+yM69d8J0wKovTh6xjCQhhIWcyaAqrvZAYMyCbhnuSW147DCu6hZRt+rIyVbxS7NVltz4Smav5J8Pv8nf/InP//zP3/DDTd8/OMfv/XWW7/73e/mcjnKRyoIAhMiQfdHVIAdP8jpGcfvKC8Ol8w4IhnD0Njohm+ZKJqZDIUxXsk0VoGa60dJwJEjNBEHLLPh+arcqk3ZMTt7sdpSdhx0p4FV+gKb+fObCNHb8dM//dPf/va3GR6bIAj8SAfcH3pGM3UNQKvtW6EHlqrKRF4ccbU53g1fP1Y4NpIvDXpGCWkkAXe7X8XtOOjWBaMKjV0I0YIg7EmkAPfNhvekv1l3lYLaItoD3uyA2zwu0PxJwJHBUFRuh3PqPmfDg5dmUQO8KjR2KkQLgrAnkQLcN8pprxWru6oSO36HIkbe1DPKd3rr7BWhINwzCZjUEXo4ZyTKbUbTpov2tcN2NO89cKYK6WQAn5wsqaGBmcUN+0ZBEPYnUoD7Jm/oAJqxuhtt5pFtAxvYGsNA2gFH9rNKdmYYhM5o2oiVBbDa2hSc75gaOXVoZKpAZfbLPwutECFaEASFFOC+UR2w6wdR3Y3OBJPOYUUxDKAPIlRUuAahAag43vWWR6Ei9MQKM4CZVWiIEC0IAgApwDuA34sjOv4bBEEUSkixUAK176sGoUHZAWPDjgPKjoNulQRRBjCzCo1QiLYNXe0vCIKwD5EC3DcWvxeHaQAIgGa7E3XDFAsl4B2ETtpxMDAd6tvMKjQAy9Dvnh699/j4RF4O9QrCPkUKcN/YofLM58WRTQ5Cq26YYq0EbIPQ1O5XPbHTU6EBjNlZnrRXQRCuTOTz3zfWVi8ObBwFJjfDQmwQOiDrthOwDUKD2P1qO1JUoQVB2OdIAe6bKCCvGXpxNDxaLw5745AO6m473g1TrBWhLo1tEBq97DgYSFGFFgRhn7Pv8oAFYc9TqVSGh4fL5fLejiMUhKsdKcCCsNcIgqBarRaLRYa0Y0EQdowUYEEQBEFIAdkDFgRBEIQUkAIsCIIgCCkgBVgQBEEQUkAKsCAIgiCkgBRgQRAEQUgBKcCCIAiCkAJSgAVBEAQhBaQAC4IgCEIKSAEWBEEQhBSQAiwIgiAIKSAFWBAEQRBSQAqwIAiCIKSAFGBBEARBSAEpwIIgCIKQAlKABUEQBCEFpAALgiAIQgpIARYEQRCEFJACLAiCIAgpIAVYEARBEFJACrAgCIIgpIAUYEEQBEFIASnAgiAIgpACUoAFQRAEIQWkAAuCIAhCCkgBFgRBEIQUkAIsCIIgCCkgBVgQBEEQUkAKsCAIgiCkgBRgQRAEQUgBKcCCIAiCkAJSgAVBEAQhBaQAC4IgCEIKSAEWBEEQhBSQAiwIgiAIKSAFWBAEQRBSQAqwIAiCIKSAFGBBEARBSAEpwIIgCIKQAlKABUEQBCEFpAALgiAIQgpIARYEQRCEFJACLAiCIAgpIAVYEARBEFJACrAgCIIgpIAUYEEQBEFIASnAgiAIgpACUoAFQRAEIQWkAAuCIAhCCkgBFgRBEIQUkAIsCIIgCCnw/wcFEIzjP9AtZAAAAABJRU5ErkJggg==
D
multiple choice
analytic geometry
undergraduate
299
299
1
Which differential equation generates the slope field? choice: (A) x/y (B) (x + 2)/(y + -4) (C) (x - 2)/(y + -4) (D) (x - 2)/(y - 4) (E) (x + 2)/(y - 4)
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
E
multiple choice
analytic geometry
undergraduate
300
300
1
What is the general solution to the differential equation that generated the slope field? choice: (A) x = 4cos(y) + C (B) y = 4cos(x) + C (C) y = -4cos(x) + C (D) y = 4sin(x) + C
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
D
multiple choice
analytic geometry
undergraduate