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@koorukuroo
Created September 13, 2018 02:28
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Monty Hall Dilemma Simulation in Python3
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 몬티홀 딜레마 시뮬레이션\n",
"# Monty Hall Dilemma Simulation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<p style='text-align:right;'>UNIST Mathematical Sciences</p>\n",
"<p style='text-align:right;'>kyunghoon AT unist.ac.kr</p>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"# 나중에 그림도 그릴 것이니 그림 그리는 환경을 구성하자"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import random # random 라이브러리를 불러오자"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 간단하게 일시적인 코드를 작성해 보자"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"doors = [\"A\", \"B\", \"C\"] # 문을 세 개 만들자\n",
"prize = random.choice(doors) # 문 세 개 중에 하나를 랜덤하게 선택하자\n",
"# 실험자는 차가 어디 있는지 몰라야 함 (print 하지 말 것)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# 실험자가 문을 선택하자\n",
"choice = doors[0] # 여기서는 첫 번째 문을 선택해 봤다."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def MC(mychoice, prize):\n",
" \"\"\"\n",
" 진행자 함수.\n",
" 내가 선택한 답과 정답인 문을 MC에게 알려주면,\n",
" 내가 선택한 답과 정답이 아닌 문을 하나 알려준다.\n",
" \"\"\"\n",
" candidates = [\"A\", \"B\", \"C\"] # 후보 리스트를 하나 만들자\n",
" \n",
" if mychoice == prize: # 만약 내 선택과 정답이 같으면\n",
" candidates.remove(prize) # 후보 리스트에서 정답을 지우자\n",
" else: # 내 선택이 정답과 같지 않으면\n",
" candidates.remove(prize) # 후보 리스트에서 정답을 지우고\n",
" candidates.remove(mychoice) # 후보 리스트에서 내 답을 지우자\n",
"\n",
" return random.choice(candidates) # 이제 남아 있는 후보 중에 랜덤하게 선택해서 return 하자."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'C'"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# MC에게 내 선택과 정답을 알려주면,\n",
"# 내가 선택하지 않은 문 중에서 정답이 아닌 문을 하나 보여준다.\n",
"MC(choice, prize)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# 그럼 이제 당신은 선택을 바꿀 것인가?"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"A A\n"
]
}
],
"source": [
"print(choice, prize)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 내 답을 유지하는 실험"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
":: 실험 0\n",
"실패..\n",
":: 실험 1\n",
"당첨!\n",
":: 실험 2\n",
"실패..\n",
":: 실험 3\n",
"실패..\n",
":: 실험 4\n",
"실패..\n",
":: 실험 5\n",
"당첨!\n",
":: 실험 6\n",
"당첨!\n",
":: 실험 7\n",
"실패..\n",
":: 실험 8\n",
"실패..\n",
":: 실험 9\n",
"당첨!\n"
]
}
],
"source": [
"for i in range(10):\n",
" doors = [\"A\", \"B\", \"C\"]\n",
" \n",
" print(\":: 실험\", i)\n",
" \n",
" # 먼저 차가 있는 곳을 결정짓고\n",
" prize = random.choice(doors)\n",
" \n",
" # 문을 하나 선택하자\n",
" # 여기서는 첫 번째 문을 선택했다.\n",
" mychoice = doors[0]\n",
" \n",
" # 진행자가 문을 하나 열어 보여주자\n",
" opened_door = MC(mychoice, prize)\n",
" \n",
" # 내 답을 유지해 보자\n",
" # 그럼 아무 것도 안하면 된다\n",
" if mychoice == prize:\n",
" print(\"당첨!\")\n",
" else:\n",
" print(\"실패..\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 내 답을 바꾸는 실험"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
":: 실험 0\n",
"당첨!\n",
":: 실험 1\n",
"당첨!\n",
":: 실험 2\n",
"실패..\n",
":: 실험 3\n",
"당첨!\n",
":: 실험 4\n",
"당첨!\n",
":: 실험 5\n",
"실패..\n",
":: 실험 6\n",
"당첨!\n",
":: 실험 7\n",
"당첨!\n",
":: 실험 8\n",
"당첨!\n",
":: 실험 9\n",
"당첨!\n"
]
}
],
"source": [
"for i in range(10):\n",
" doors = [\"A\", \"B\", \"C\"]\n",
" \n",
" print(\":: 실험\", i)\n",
" \n",
" # 먼저 차가 있는 곳을 결정짓고\n",
" prize = random.choice(doors)\n",
" \n",
" # 문을 하나 선택하자\n",
" # 여기서는 첫 번째 문을 선택했다.\n",
" mychoice = doors[0]\n",
" \n",
" # 진행자가 문을 하나 열어 보여주자\n",
" opened_door = MC(mychoice, prize)\n",
" \n",
" # 내 답을 바꾸자!\n",
" doors.remove(mychoice) # doors에서 내 최초 선택을 제거\n",
" doors.remove(opened_door) # doors에서 진행자가 보여준 문 제거\n",
" \n",
" mychoice = doors[0] # doors에 남은 선택은 오직 하나이므로 [0]번째 선택\n",
" \n",
"\n",
" # 정답 체크해 보자\n",
" if mychoice == prize:\n",
" print(\"당첨!\")\n",
" else:\n",
" print(\"실패..\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 함수로 만들기"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"여러 번의 반복적인 실험을 쉽게 해보기 위해서\n",
"\n",
"위에서 짠 코드를 함수로 만들어 보자"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### 선택을 바꾸지 않는 경우의 함수"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def no_change():\n",
" doors = [\"A\", \"B\", \"C\"]\n",
" \n",
" # 먼저 차가 있는 곳을 결정짓고\n",
" prize = random.choice(doors)\n",
" \n",
" # 문을 하나 선택하자\n",
" # 여기서는 첫 번째 문을 선택했다.\n",
" mychoice = doors[0]\n",
" \n",
" # 진행자가 문을 하나 열어 보여주자\n",
" opened_door = MC(mychoice, prize)\n",
" \n",
" # 내 답을 유지해 보자\n",
" # 그럼 아무 것도 안하면 된다\n",
" if mychoice == prize:\n",
" return 1 # 내 선택이 정답이면 1을 반환\n",
" else:\n",
" return 0 # 내 선택이 틀리면 0을 반환"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"40 / 100\n"
]
}
],
"source": [
"# 실험을 100번 해서 몇 번 맞았는지 테스트를 해보자\n",
"\n",
"value = 0\n",
"for _ in range(100):\n",
" value += no_change() # 내 선택이 정답이면 1을 더하고, 내 선택이 틀리면 0을 더한다.\n",
"\n",
"print(value, '/ 100')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# 100번 시행하는 실험을 100번 실행해 보자.\n",
"\n",
"result = [] # 최종 결과값을 넣을 리스트를 만들자\n",
"for _ in range(100):\n",
" value = 0\n",
" for _ in range(100):\n",
" value += no_change() # 내 선택이 정답이면 1을 더하고, 내 선택이 틀리면 0을 더한다.\n",
" result.append(value) # 실험 결과값을 result에 넣어주자."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[28, 30, 31, 35, 33, 36, 36, 34, 34, 38]"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"result[:10]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f2031b186d8>]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(result, 'o:')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### 선택을 바꾸는 경우의 함수"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"def change():\n",
" doors = [\"A\", \"B\", \"C\"]\n",
" \n",
" # 먼저 차가 있는 곳을 결정짓고\n",
" prize = random.choice(doors)\n",
" \n",
" # 문을 하나 선택하자\n",
" # 여기서는 첫 번째 문을 선택했다.\n",
" mychoice = doors[0]\n",
" \n",
" # 진행자가 문을 하나 열어 보여주자\n",
" opened_door = MC(mychoice, prize)\n",
" \n",
" # 내 답을 바꾸자!\n",
" doors.remove(mychoice) # doors에서 내 최초 선택을 제거\n",
" doors.remove(opened_door) # doors에서 진행자가 보여준 문 제거\n",
" \n",
" mychoice = doors[0] # doors에 남은 선택은 오직 하나이므로 [0]번째 선택\n",
" \n",
" if mychoice == prize:\n",
" return 1 # 내 선택이 정답이면 1을 반환\n",
" else:\n",
" return 0 # 내 선택이 틀리면 0을 반환"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"36 / 100\n"
]
}
],
"source": [
"# 실험을 100번 해서 몇 번 맞았는지 테스트를 해보자\n",
"\n",
"value = 0\n",
"for _ in range(100):\n",
" value += no_change() # 내 선택이 정답이면 1을 더하고, 내 선택이 틀리면 0을 더한다.\n",
"\n",
"print(value, '/ 100')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"# 100번 시행하는 실험을 100번 실행해 보자.\n",
"\n",
"result = [] # 최종 결과값을 넣을 리스트를 만들자\n",
"for _ in range(100):\n",
" value = 0\n",
" for _ in range(100):\n",
" value += no_change() # 내 선택이 정답이면 1을 더하고, 내 선택이 틀리면 0을 더한다.\n",
" result.append(value) # 실험 결과값을 result에 넣어주자."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[29, 22, 34, 32, 30, 38, 33, 26, 33, 34]"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"result[:10]"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f2031aa3a90>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(result, 'o:')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 선택을 유지할 때와, 바꿀 때의 결과물을 함께 표현해 보자"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"result_change = []\n",
"result_nochange = []\n",
"\n",
"# 선택을 바꿀 때의 실험 결과\n",
"for _ in range(100):\n",
" value = 0\n",
" for _ in range(100):\n",
" value += change()\n",
" result_change.append(value)\n",
" \n",
"# 선택을 유지할 때의 실험 결과\n",
"for _ in range(100):\n",
" value = 0\n",
" for _ in range(100):\n",
" value += no_change()\n",
" result_nochange.append(value)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'? / 100')"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(result_change, 'o:', label='Change')\n",
"plt.plot(result_nochange, 'o:', label='No Change')\n",
"plt.legend()\n",
"plt.title('Monty Hall Dilemma')\n",
"plt.xlabel('Trial')\n",
"plt.ylabel('? / 100')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 많이 돌려보자"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"number_trial = 10000\n",
"\n",
"result_change = []\n",
"result_nochange = []\n",
"\n",
"# 선택을 바꿀 때의 실험 결과\n",
"for _ in range(number_trial):\n",
" value = 0\n",
" for _ in range(100):\n",
" value += change()\n",
" result_change.append(value)\n",
" \n",
"# 선택을 유지할 때의 실험 결과\n",
"for _ in range(number_trial):\n",
" value = 0\n",
" for _ in range(100):\n",
" value += no_change()\n",
" result_nochange.append(value)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'? / 100')"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20, 10))\n",
"plt.plot(result_change, '.', label='Change')\n",
"plt.plot(result_nochange, '.', label='No Change')\n",
"plt.legend()\n",
"plt.title('Monty Hall Dilemma Simulation')\n",
"plt.xlabel('Trial')\n",
"plt.ylabel('? / 100')"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(result_change, label='Change');\n",
"plt.hist(result_nochange, label='No Change');\n",
"plt.legend()\n",
"plt.title('Monty Hall Dilemma Simulation Histogram');\n",
"plt.xlabel('Success Number');\n",
"plt.ylabel('Count');"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(result_change, label='Change', bins=30);\n",
"plt.hist(result_nochange, label='No Change', bins=30);\n",
"plt.legend()\n",
"plt.title('Monty Hall Dilemma Simulation Histogram');\n",
"plt.xlabel('Success Number');\n",
"plt.ylabel('Count');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 진짜 많이 돌려보자"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [],
"source": [
"import time # 다 돌아가는 데 시간이 얼마나 걸리는지 측정해 보기 위해 time 라이브러리를 불러오자"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"총 걸린 시간 : 455.98811197280884\n"
]
}
],
"source": [
"tic = time.time() # 시간 측정 시작\n",
"\n",
"number_trial = 1000000\n",
"\n",
"result_change = []\n",
"result_nochange = []\n",
"\n",
"# 선택을 바꿀 때의 실험 결과\n",
"for _ in range(number_trial):\n",
" value = 0\n",
" for _ in range(100):\n",
" value += change()\n",
" result_change.append(value)\n",
" \n",
"# 선택을 유지할 때의 실험 결과\n",
"for _ in range(number_trial):\n",
" value = 0\n",
" for _ in range(100):\n",
" value += no_change()\n",
" result_nochange.append(value)\n",
" \n",
"toc = time.time() # 시간 측정 끝\n",
"print(\"총 걸린 시간 : \", toc - tic)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'? / 100')"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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V41v9TrcNWpq6HYY67PsAIs8Zd7122sZO5EW/DWL6Ot02tXutfoWCT5u2pOV3UJ75J75+Ar/wmW8DAP72uYsAgB961e6BS2eUQU+f1sl0Dlp9Ww/PgGPO/ul2/z4oullG+l3+2ukf+2nQ09dNXLa2QTSELKwpVFKEL9xoIWPbvX6/098pnQ4xnfR8rR730NGzHUtDq8e3+p1uG7Q0dTsMddj3486Z+LOUbWOraR0kg5i+TrdN7V6rX6HgU6ctYfkdlGf+0NGzsf8/KOmMMujp0zqZzkGrb+vhGXDM2T/d7t8HRTfLSL/LXzv9Yz8Nevq6iS+PNoiGkIWmwE4RvnCjhYxt9/r9Tn+ndDrEdNLztXrcvTdt71gaWj2+1e9026ClqdthqMO+H3fOxJ+lbBtbTesgGcT0dbptavda/QoFnzptCcvvoDzze2/aHvv/g5LOKIOePq2T6Ry0+rYengHHnP3T7f59UHSzjPS7/LXTP/bToKevmxhtbQPxhywEkCp84UYLGdvu9fud/k7pdIjppOdr9bhOpqHV41v9TrcNWpq6HYY67Ptx50z6GZCubWw1rYNkENPX6bap3e/3KxR82rQBycrvoDzzT3z9BB46ehb33rS9YcmaNijpjDLo6dM6mc5Bq2/r4RlwzNk/3e7fB0U3y0i/y187/WM/DXr60koabY0vj4iIiIiIiIiINqGkL48YbW1ApYkekHS398ePX8GHHn4ef/2PF3B+voQvPzcbGZlIHzdWyDR83ixySiekjagU/Fk7kT6SfLfdPGjlHtLu6N+t5zRokQWCZbXVSBtp7yttGe2EuHrZ6vk+88RpPH9h0WsL/Pl3dm4VH3r4eXzy0ZN45Nilhmu2Usd0mXz23AL+/tRcbN3rdMSUTj2TbkXUabc8tdte9EKafirNvbRyr3HtY6vp7IW4vAmrM/rzv376PP7D55/Bw/94ATNj+VTRrXrVpqY5X9y9tlsHwtrFbkTo63cd7VSf124+t1qvu51/nWyv2s27Zn1ns/vQ44ZHX7iM3/nyMaxW6ijX6muunXbc2G757+R4pp00pXmGSdqFTqS11fzpZbvS6TGbvuewMSfQWD6/fXoOv/jZbyfu06LS3U5f2O82vBuSRlvjzKMBlCZ6QNLd3h8/fgXvfPBrKNeuPW9DEBqZyH9cxjLwJz/ufO6PnAIAH3jbzaHT0Dt170kiKgGNEZjaidiVJC/bzYNW7iHJPXUyjWnS3u+IX/6yapkCo4VIG2nvK20Z7dQy0Kh62er5fvj3HkGpUoeC0xb42xrLENQBVH3thb4mEB31LHh+fcyP3LkXH/7yMe9zAZC1w+tepyOmdOqZtHueVtqdJNcMHpO2veiFNP1Umntp5ZnEtY+tprMXeRyXN2F1BnDq6Wql3nAe2xT86f13Jopu1Wpd7HT+NEuTvtd260BYu9iNCH397ks71ee1eh/Nvtfu5+3qZHsFhPeXSa8RbK+CfWez+wiO+zXbFNTqyrv2M+cWUo0b2y3/nRzPtJOmNM8wSbvQibS2mj+9bFc6PWYLK6txv3/6NevTotKdJtJj8B4HcZzVCUlnHnHD7AGUJnpAmshWlUAHEhWZyH+c//NmkVM6IW1EpeDP2onYlSQv282DVu4hyT11Mo1p0t5PwbJabTHSRtr7SltGOyGuXrZ6vnLVGQgBWNvW1FTDiyP/NVuJpvO5p841fK4QU/c6HDGlU8+kWxF12i1PrbSBvZamn0pzL608k7j2sdV09iKPY/MmpM7o44MqNRWb3k7UxU7nT7M0daoOhLaLKccRqe+nD3W0U31eq/fR7Hvtft6uTrZX7eZdsL0K9p3N7iM47tcqNdVw7bTjxnbLfyfHM+2kKc0zTNIudCKtreZPL9uVTo/Zwspq3O+fDcc16dMi090krXH3OIjjrF7iy6MBlCZ6QJrIVrYpDT8zIiIT+Y/zf94sckonpI2oFPxZOxG7kuRlu3nQyj0kuadOpjFN2vspWFatFiNtpL2vtGW0E+LqZavny1iG1wEYwbbGFFiB9iJJ1LPg+fUx9xza1vC5IKbudThiSqeeSbci6rRbnlppA3stTT+V5l5aeSZx7WOr6exFHsfmTUid0cdL4Dy2KbHp7URd7HT+NEtTp+pAaLuYchyR+n76UEc71ee1eh/Nvtfu5+3qZHvVbt4F26tg39nsPoLjfs02peHaaceN7Zb/To5n2klTmmeYpF3oRFpbzZ9etiudHrOFldW43z8bjmvSp0Wmu0la4+5xEMdZvcRlawPq8ePJowf4j2029fjT3zwFAXBoZhRXlsuh3/Ef909v3dnwebPIKZ0Qdz9hnwV/liQ/oo5J8t1286CVe0j6jDuVxjRp76dgWQVai7SR9r7SltFOiKuXrZ7vkWOXMF7IeG0BgIZ259PfPIWLCyVMF7MN12yljukyeWj7CIp5O7bu+dMxSNEf2z1PK+1OK3k9aPUUSNdPpbmXVu41rn1sNZ29EJc3wNo6oz9fWKnga8cuYetIDv/8u65LFd0q7LytpLVdSe+13ToQ1i52I0Jfv+top/q8dvO51Xrd7fzrZHvVbt416zub3YceNxSzFp46O497b9qOA9uKa66ddtzYbvnv5HimnTSleYZJ2oVOpLXV/Ollu9LpMZu+57AxJ9BYPgHgk4+eSNynRaW7nb6w3214NzDaGhERERERERERReKeR0RERERERERE1Dar3wnYTKKmv+n/Hi9k8PAzF3BhfhV37p/EfKkauhzH/99R02KD00+TTgFeWKl401qjpvM3m7aZdIpuq0s1opbbhE3xTDLdt51lbnHHjhcyOHpmLnba6Se+fgIf+coxQAQ/+pp9OLCtGLkM65lzC2umFHdj2mTS6bJpn1HcFO5PfP0EPvnoCWQtAzdsLXrLKqPKY1RZ0tcLfi9J+Q6m++iZucjps2nyKljv46blNsvjdpf0JElL2D0lnbrr/0yfv9PT0sPuL02bFEx/VF6l+W7wWmH3naT9b9ZeANFLC4J5Efx33HX9eec/v7890nUyLp1JliomzUN/fT20faShP4xqb5rV77hrNUtbu9PXw+pesI7F1ZdWlrLr/JgcyuDSUnnNMw3Wb//ytrsPbEm9PCOu7H/woadx8vIy7tg/iRu2FkPz4ZlzCw1LEZLc5y9+5ts4eWUZbzy4Ff/pHS9vmr6wMh+Wt1FtSreWaTU7tlkZ938nbKyQJi1h/UZcn5BmObOm24bJoQxeuLjk9f2tjDmi0hI2loprH1tdJhtVrvS4xr+0plne6nT6P//w33wHL8wuYv/0cEO99B8b/F6wHY8r38HvRuW9Hi8ASDR+aSbueeprXV0uo1St4wdv390w7k1SHqOu+eG/+Q4uzK82nDNJuoKaLfNLcp7g2DdJnjZrxzq5tC7NvTQ7PmqMkqTM+schemx+dbmMy0tl7J8e9vqLsK1ZvvDUOXzuqXO459A2vP/NB0PT2upYdSMuXUuCy9Z65PHj4SH/9H9XfDv5B/lDkCcJUxsMi/3eu/bjD7/2YtOwp8GQvmEhjJuFqvTfZ1xY0rgwh1HniEpHMKy4Du8YDD0qWBviNO5aze4p7jnr9GlhoTbDQk+aBlCrr33uhgD+wDkfeNvNOLCt2PGwnI8fTxYiNO0zigtbG3xOUXR5jCpLwTzXdPmPK99h6fYLy4ckeRWs9/5yGpe/YXkcrDNpw5gHQ3uHpeXIWw/hyJ8fbbinI2+NDgkeFS48qk52snNtpU2KCimbpN1KEo42qkwASNX+R+VXVJj5YF4I0PBv3U5GXVfnXbDv8LdH8J0vLJ3BPAyeS+BsOpkkD8P6o6i8SdJ/RUn6fOOOSxKyN64diKp3YfeYpBw2yz//M/XX77Dj04Skjiv7b//wV+EPpKPLgj8fgmXNNADTMGLv8wf+61fhT/V9h2ciXyBFtRdhbViwXnQ7NH2zYwHElnH/d8LGCmH9XJp+I65PiOvb435hjurz0445ovLLXxb1WEo/17D2sZU+NS6Me7D9s03BA99305o+3J+3/jGf/vyX/se3G54nEN2e6++FXbtWV6Hlu5V+rdmzSiLueYZdC7g27g22M2HlMWpM9YO/89W26ocW1RenOU9YPWiWp83asWbjoVakbfeS1JNg3Ysrs8GxahjTAESk4ThDnOv4v/reu/Y3vEBK+jtPJ/JlPeCytQHzyLGIkH/uf8dVi2rI8XGhQINhsT/31LlEYU+DwkIYNwtVGUyL/jz487gwh1HniExHIKx4VOjRsBCncddKc0xU+oJp8gsLPekfPPufe/DxPHT0bKp0JfXIsWQhQlM/o4iyGvacoujjospSVB3S5T/qfFHp9osq683yKljvgx1gO2GA04YxD4b2DkvLQ0fPrrmnuJDgkZ9F1MlOaqlNiggpm6jdShCONqpMpG3/o84fFU45mBfBfze7blTfUQtUm7h0NuuHFJLnYVh9Dbtm3PFJ2pWkzzfuuCQhe+Pagah6l/T6Sftzzf9M/ekPkzbkdVTZD477dVnw50OwrNXqaHqfwVR/6dnZ2PSFtRdhbVhUm9Jqn9vKGCKs3wwK6xPDxgpp0hLWb8T2CTF9e5TYsNspxxxR+eVPczXwXEPbxxb6VP99N2tLKzUV2oeHpdP/eVjVjGrP464dWb5b6Ne887bRr8c9z7BrAdfGvUnKY9Q1260fUd9r5Txh9SDt7xhR4+BO/16Qpt1LUk+S1JeosWqYWn3tC6a6wpq+J3idpL/zJL3PzYIvj3rkjv0RIf/c/457EFbI8XGhQINhse85tC1R2NNgQM+wEMbNQlUG06I/D/48Lsxh1Dki0xEIKx4VejQsxGnctdIcE5W+YJr8wkJPmr4v+p+7FTjhvTdtT5WupO7YnyxEaOpnFFFWw55TFH1cVFmKqkO6/MeV77B0+0WV9WZ5Faz3/nIa9Z3Q74bUmbRhzIOhvcPScu9N29fcU1xI8MjPIupkJ7XUJkWElE3UbiUIRxtVJtK2/1HnjwqnHMwLCfzbaHJdnXfBvsMMJCxYh+LyMHguPdskSR6G1dewa8Ydn6RdSfp8445LErI3rh2IqndJr5+0P9f8z9Sf/rDj04Skjiv7wWjhuiz48yFY1kwDTe8zWG/uvnE6Nn1h7UVYGxbVprTa57Yyhggb40WVcf93wsYKadIS1m/E9gkxfXuU2LDbKcccUfnlT7MVeK6h7WMLfar/vpu1pbYpoX14WDr9nwefp3eNmN8Lwq4dWb5b6Ne887bRr8c9z7BrAdfGvUnKY9Q1260fUd9r5Txh9SDt7xjBsttsPNSKtO1eknoSrHtxZTY4Vg1jGlhznCFY0/cEr5P0d56k97lZcNlaDyXZ84J7HsWfIyodAPc86uTaZu55xD2P/PcUt99KXLvGPY+45xH3PAr/Pvc84p5HaY5tVsb93+GeR9zziHseRV+Tex6ll7bdS1JPuOfR4Em6bI0vj4iIiIiIiIiINqGkL48Yba2HPviXT+NzT53D4V1juGFr0Ztp9A9n5pDPWPjR1+xrOqOk2UwC/Ub9zv2TDTNt9NvtcrWOSq2OiaGM95Zb/5VK/3VS/5XXPyMh+JessDfc+pjgX4kBNPzF4uTlZVxZLuO+wzsa3gJHzRIKm0UVfAstAJZKVTx58qr3dtn/FwadH/6ZKfovrHF/EXrk2CU8d34Bjxy7hN0TBbzv3oNr/qKu8wpw/hqj0/T8+YWGv5iE/YUpOPMDiJ6R8Pz5BVxeKsM2DVRqde9tu/+vVzod+q81Ufft/yuH/5phswXCZvOEzUhoNivuufML3vN506Ftqf76FTZDK5hPYX+R9ZfTh5+5gCdOXEFdAXfdMIVC1sLFhRJOXl7GqSvLyNkmXr57fM1f9qL+ehmcmRT8TAAUsxa+5q6LzljGmnqZdNaO///9Zb6YtUJnFgTTGFXngsLS45/9EZZ2/zP0/4XH/4yjZnGFzXKJm5UV9tdP/4wY/3PTf63VbV3wOP+/dX76/6rlP3ewfYuaRRM3A85fZv119onjV7xns3tyyPtL9d0HtjSkK1hPgvkaTHvUrCf/tf/uuYu4sLCKfVNDeNcde0PT7J8xUshakXUhmE7/LJL9U0Ox+RA3gyHsfrXgM4qbAemv/2+/badXPhdWKvhv9IrhAAAgAElEQVSrp88DIrhpZsTrA79zcWlN+UkyM6yZ4CyfrGVgrJBpaIf2TQ1hrJBpuM+wtjp4Tp3vH/nKMaxU6xjJWqjU6rBNA/OrFeQzFt74ki1rZnGFzZYN9mP7pobWtDH+tirYP00MOenXfxkOloGwvi9sllvYX9aDbVKwLjc7b9gMlbA67y97YWXMP7MkOFMrajwTnPkQ1S7406vHIFnLxFjB9mam62cTnKkeN8PFP5vD/71DM6N4+JkL3gwX/1/yg2UgOEYsZi381dPnsVKt49D2EW9ckqQeJJnNGjcbW8/aGCtkIttsPSbQ44irqxVkLbMhrcFyEJaP+nwC4NnzCxgvZHDrnvE1/bz/uYb1M0mf0emrK4AIdozmIvuwYNsb1V9H5X2z/P6tv3oW33jxMl6ytYiX7hhteA5RM3jCxpCfeeIUvnNhEVtHctg1UWho18LGe8EZW/50R81cCbs3APiZP30CX3p2FrfsGMXOiUKiWfX+Ni3s96VgO6bpe/rCU+fw2SdPY7yQwa6JQsPP/bNgombi+8ttMP1R43zdTuhy2WwMECzX+nnpsbr/d9VgO6zvW48tg+MD/3X9v4d95+JSQ9sXNqMomJf+9jQ4UzGuTujv6vy7+8bphtmpzWbz+mf9+cuAriOdnIW33nDmUY988C+fbthJPkpcFK3Hj8dHT6optSYyTtZeu4u9XzDCSZJjdPQq/67+wQgfml6DGrXhmd75Phh1ICrt771rPz7ydy+ERmLwu+/wDP7nt86EpikoKgpGWAQa0xD8+Gv3JXqWwfv0pzssX8Ki6jXbTF2n3R+xI41gdI+4suIXLBNRUTuA8CgxpiGo11WiiB9hESmC0UOCm4n661FUFLY4YVH8ghFb/OI+C9JlO2mksmZ1KMg2nYgTUUcHo01o/vYlKl+Dafe3AYLGzQn9z9hPR7MIRtkLlqmwiFNRUVgEjVHFgm1h8Ljgv+OEtW+CtZHDmkX902U2LMpOEv56kqSc+aNdxUVPihOVP3HlPa4/ANbmQ1zUpqT3GxZZRpfnqOdhGk46WtFqlCGdpqhIaHGCbXXYuCAu38P4IxWlaSfTRsIJCtb1sDbOX6fj+uTg8X5h5w1G/wxrU8LqWrCMhfVLUZGD/O1mMHpWu+1CUFj0qVbOGxa9KCnbFPzp/XfG/nKeJHphVB8cFoHWL6wNuu/wDD775JnQtIaNoYL5mLZu+fvhYNls5xml6bt0uYuLMNwsCmsYyxSoQB+ro43FRdILE2xLg9/XZQmIj9YVFfHvY197MfS5R7XhceOMsIiQYeMMQ5zNmpv9/L7DM15AF53e4Ljo8M5RPHlqbu3JEogbA6Qt1/52uFk59V83GN3OL8nvnxnLwI++Ov73kqg6kbEM3LFvAl9+7qL3Mx2RM64N0mUpLO1R4/FWxwSDhtHWBkxwh/cocVG0gj8PRgkJi4wTtou9X7OKG3aMbuz8u+VHNQ7VJjvl67RFRUYLixwXFYnB70vPzibu6KOiYIRFN6nVVeJn6RdMd1i+hEXVa3anOu1J8iRMMLpH0nsLlolmkQDXfl81lJ+4iB+hESkC0UOC/PWolZwJi/IQjNjiF/dZkC7bSSOVNatDQZWYF0dAdFvU0L5E5Gsw7f5nGExiLeTFERAdZS9YpsIiTkWV82BZimrXgpE+kuRqWPumEB11K+qcXpmtro2yk0SadgGIjoKU5tpRR8WV97j+AFibD7FRmxLeb5Koj0GtvjgCWo+sEtUeJhFsq8PGBWlPnaTchn4vZSScoGD9DGvjGup0TJ8cPL7ZeeOicjUc0yTyWli/FBtpsBoePavddiEorF61ct6w6EWJ01BTsfUjrI4niQoaF4HWL+zzqEh8UWOoYFpS1y1fPxzMxXaeUZq+S5e7sHYxaRTWMNWQPlbXh6TRc7Vm4z1dloLteVi9DPvdKfK5R7ThceOMsIiQYaK6luDPv/TsbNPow0fPzIefLIG4MUDacp2mnPqvG3f+JL9/Jvm9JK6efePFyw0/0+Uhrg2KS3vUeJzR1qgrgju8R4mLohX8eTBKSFhknLBd7P2C30lyjI5e5d/VPywiBOC8pY3bKV+nLSoyWljkuKhIDH533zgdmaagqCgYmZATmIYkfpZ+wXSH5UtYVL1mt6DTniRPwgSjeyS9t2CZiIraocvs2u9L4ogfoREpAtFDgnfvr0etNHJhUfyCEVv84j4L0mU7aaSyZnUoyDYlNh1Rz7ihfYnI12Da/c8wmET/M25InxUeZS9YpsIiTkWVc/1TI6ItDB4X/HecsPZNzzwKi7oVlfdemQ2JspOEkaJdAKKjIKW5dtRRceU9rj8A1uZDbNSmhPcbFlmmWf03DUn0/EPvocXIKjpNrVw32FaHjQuS9nlaknIb+r2UkXCCgvUzrI1rqNNWfFQ4//HNzhuM/hlWF8LqWrCMhfVLUZGD/O1m8Bm12y4ERUXmTHvesOhFidNgSmz9CKvjUePasD64WVkPa4OiIvFFjaGCaUldt3z9cDAX23lGafouXe7C2sUk+R3FCuljdX1IGj1Xazbe02Up2J4H24ewvu6O/ZPRzz2iDY8bZ4RFhAxjRGRh8Od33zi9Jr3B+79pZiT8ZAnEjQHSlmsjRTn1Xzfu/El+/0zye0lUnbAtA6/cO9HwM10e4tqguLRHjccZbW0AbYRlawD3POKeR9zziHsecc8j7nnEPY+45xH3POKeR9zziHsecc8j7nnEPY+CY69gXnLPo95htDUiIiIiIiIiIoo0EHseicjPishTInJURP5ERHIisk9Evi4iz4vIJ0Uk0/xMRERERERERETUD1a3TiwiOwD8FICXKqVWRORTAN4B4M0A/l+l1J+KyIcBvAfAf+1WOgZJ1NIx/3RTPfV3JGt501/1kic9fW7/9DBWKzV86/ScN43xieNXcOrKMpQCxBAc3FbErbvH1yxp0VNL/VMAj56e86bsv3BxCeVqHfOrFZTc3cyylomRrIUzcytYKdcxMWTDdHenH8la3rFh04D1dMXRvI2jp+dgGoKp4SxmF0soVevYOZbHrXvGG5YEHJoZxWeeOIV/PDuP0byNt9wys2Zp2FKpii8/O4tCxsRPvP4GAPCm6lsiWFiteNNjry6XvamnC6tVnJ9fxfVbhnFlqYznZ5dgGsANW4oo5ixvmrAlgstLJSe9xVxD3pyZW0G5qnD73vGGKaR6yrSe+u2ftq+f9VKp2rAE7plzC/jth5/D/GoVE4UMbFNweamMuZUKTENgmQYypmAoZ3tTl8OWGgSna+pp5LNLJVSqCkMZZymEvv+tIzlvWiuAhimoYUsn9BRq/3MuZEzv+jrv/J8Hl9187Gsv4sVLS9g6ksOWYhbHLi5huVzDUMZZLlbImPjfT53DarWOvG3itj3jmFupeOXRv+Ti+fMLOH11BfmMhZnRHI6enkNdKUwVcxCl8MKlJQznbLzjFbtCl2D+9sPPYaVS95avPXH8ipcvAHBluYwbtxYxt1JB1jLw/IVFzK1UsH00h33Twzi0fQSPn7iCk5eXvaVgweV5h3eNeUvjdBkMLh/RU3j3TQ3h0Rcv48pyBRnTKXP6XnXal0pVfPHp86gpZx38fS/fuWbZq38asK4jpiHesz91ZRmjeRs/8fobGpb2Bade++vZI8cuAQoo1+peudHT9P3LNfSUaR324r7DO/CmQ9sapiU//MyFhmnu/qVbxy8tee3Q++49iC88dQ6feuyksxTANhuWGmo6X/dPD69Jh17iEbyWzs//9a0zuLpShW0K3vOafZgvVfHX/3Aes4slZCwDO8YLeONLtqCYt9csMdLTxfdNDYVOoQ4eH1z+618iHFwepae2f/zrx71nrdvy4JJRfc6PfOUYZpdKWC7VvChYW4pZ7J8exonLy94yQt0eB8ubZRnIWiZ2jOa89BazFv7iW2cwv1rFwW1F3PfynWuWMR09PYerqxWM5TMYzph4fnYRU8NZbClmG5YwLa5WsViu4tbd43jV/snQJdsnLi01LHn88N98x/tcP4fgcjj9zBdWKviLb53BSqXuLUmLWqKjlyLoMuOf4h61zAUiDWUhalnfDVuLDUvHzs6vol4Hbt87jqxtrrkff7pvmhnB3EoF5+dWMbda8ZYShi0d0+3PP56d95bb6vazUlcousvVTOPas9Vt9hefPg8Rwf6pIVxdqTQsTfAv+fL3Vfe9fGdDHxPWXt6xfxKnr6409NvFvI2vH7uEb564guGs5Y0b/OVM9/1/99xFZwwDIGcZME0DtiFYLFUxVrDxkm0jePb8ArKWiWq9jsVyFfU6sHMs7/Xzuk/Qbes/nJlrGMfo6/r7tGC/ovtrXc/9/XdwnBK2POobL1zylphkbdNr705cWsKnHjuJulJQAphi4KaZEXxndrGh3dd1wV//c7bT19aVgogTcWx6OOO1448fv4IPPvQ0njo9h5oCpoczeMstM14e5DMWhjMmXry8jLtvnMa2kRw+9dhJLJaqqNUVpotZ3LJzzMuXYxeXQsdnwba3VK1jNG83LOEKLjPxL3HT515YrcI0nPEjBA11Jzi20e2Ef7y5WK7CFANvv22nt9RXj6tt0/CWiPvriH8888y5BVxYcMrva66f8vqmsPZI14+wZUUCeOPaQsZCqVrDjVuLOHN1BbNLpYY06vHpjtGcNy70bz2gz+tfVrdjNIfz8yWcnVtB1jIwUsh4Y+y47Sa0k5eXvX51z0TB67v1srbg8fr51N1ypwDvOP+Y66aZEe/3Bn/diVpC5R+HB9tdPTZ89vwCIMCBrUX86n03r9luQ4+b9NJivXzJvyzan1b/+HJqOOv9zqWXCJ+fX0XGNBrGKv4+Z2Y0hydOXEFNwcs7/btJ1PI7AA2/8zxx4gpEBN/9ki3eki5d1r7xwiUslWrI29eeq/8+/H1N8Fnp9F+/ZThybBCss7pPf+rsvLfscvdEATNjeTx58irG8jaurlQaltP5l9XfsX8SS+UaXphd9OpY2NIznT8Zd6wLEUwPZ7FUrmK5XGto5wA09Ld+/mfv3/JB/558dbXS0K4DaCh/ur6GbRej80WXyUpNoVSteWN5/Z3dEwWcubriLcfV5TZqq5GNsGwtqa4tW3NfHj0C4GUA5gF8FsB/AfBxANuUUlURuRPAEaXU98SdayMsW0sbvtLvvXftx+995VjqaA9hPvC2mwGg5bQkoUOfBkPSUiNBsogZQWHhlVs9V9ow8OtdktCgrdAhV1sJwd1Jae7vA2+7GQe2FSPD0nZCVMhawGnXPvJ3L3Tt2v26VpSkzyYuz4LnSfO8W20j+iEsrQLnfpP0Kc3yMEwwL6NCe8elM00a15v1VH56JSwkfK+99679+N2/PbYm2mW/JAmtHUbghJXXYcT12GYQ6LSFhVJvlw5Fn+a8rbRv64khwP2v25+6DLWj3fbNMgVKRUd67YVOjW/vOzyDv/z22UTjpU5d8wNvu7lhckM7dUzX13sObWvahwcd3jmKJ0/NJTrWMp0X+dWa84Lr4z92x7p/gdT3ZWtKqdMAfgPACQBnAcwBeBzAVaVU1T3sFIAdYd8XkftF5DEReWx2NjzU4nqSNnyl3+eeOtexwclDR8+2lZYkdOjTjTiA7qRWO6qw8MqtnittGPj1rlsduw652m9p7u+ho2djw9J2QtwA93NPnevqtft1rShJn02zXwr850nzvNdTLQ9Lq0K6sMJpBfMyKsRzME3B/x+AZqAr1lP56ZVWQrh32ueeOjcwL46AZKG1w+iw8sGxzSDwh7zv9PhZh6JPc96N/OIIcO6vlTLUjnaztFrr74sjoHPj2y89O5t4vNSpa/rLf7t1TNfXJH140NEz84mPrdYUKtU66upa+7BZdO3lkYiMA/h+APsAzAAYAnBP0u8rpR5USr1CKfWK6enwUIvrSdrwlX73HNqWOkxoXDraSUsSOvRpp9K8UbUakDcsvHKr50obBn69SxIatBU65Gq/pbm/e2/aHhuWthOiQtYCTrvWzWv361pRkj6buDwLnifN815PtTwsrYJ0YYXTCuZlVIjnYJqC/z8AzUBXrKfy0ythIeF77Z5D2zBIXXiS0NphdFj54NhmEPhD3nd6/KxD0ac5byvt23piCFoqQ+1oN0stU7o2vkyqU9e/+8bpxOOlTl3TX/7brWO6vibpw4NumhlJfKxlCmzLgCnX2ofNomt7HgF4I4AXlFKzACAi/x3AawCMiYjlzj7aCeB0F9MwMPR0vFb3PNLrcTu15xGAru95dGBbkXseoXt7HsWFguWeR9zzKOmeR39y/5192/NIf96LPY/8++BwzyPueZRkz6NX7pvknkfc82jg9zx606FtA7fn0e7JoZb3PPKPbQZtzyO9LKXTex7p83LPo2t7HvmfLfc86u2eR//szr192/Mo+PtyO3sebRvJcc+jLujmnkevAvARALcDWAHwhwAeA3AXgE/7Nsz+llLq/4s710bY84iIiIiIiIiIaJAMwp5HXwfw3wB8E8C33Ws9COB9AH5ORJ4HMAng97uVBiIiIiIiIiIiak83l61BKfXLAH458ONjAF7ZzesOqmB4z3K1DjEEE4UMxgq2N81xqVwL3RDPNgGlAEOcJQl6WvITJ66gVK3j4LYicraJR1+8DMsQZDMmxvIZb/ql/7wjWRMZ28TcijP1b8dYHnnb9Ka4jmQtlN3p3vOrFRgiGM3b2Dc1FDqN9u4DW/DwMxfw1ecvYrVSw2jexq6JQsPUTUOAuZUq8hkD44UMrq5UUKrUkTGdqewZU7BaraPiToXOZ0xABBfnV1GqKRQyJl57/RROXl7G8xcWUKm7bz8FyJgGbFOwUKoBAAq2AdOQhmV8M2N5fNnd2Dhjm7hpZgRnrq540x9XyjWslmuwTQNjeRvlWh3FnI1qvY5SzZkSXakqVGt1VGsKhntxUwDDMHBg6zBeuLSEuZUqTAFG8zZWKzVU6gqGCAwANQVMDNmo1pU3hdOyri3tUArYUsx6S9EsQ3BhoQQBUFMKO8cLOLxrrGH5Urlax7dOzUHEmZparStcWS6jVnf2YxgvZLBUqmLZjQQ2XrBww5aiNw1fP7flcg1Z28CusTyOX16GbRq4bc+4l0eVWh3LpRrqSmFyKOMtI/AvwfvkoyeQtQycuLSMi0sl5G0TtbpCTQF52/CWAB49PYfZpRJWy3XUlZM/+vM3vmQLPvvEaVxYKGG8YGPLSM5bSjc1nPWWTw5nTVRqdeRsE4WMhdmFVS+vbUNQqStU63Uo5ZSPW3aO4n33HgTgLNN7/vwCnjozj9VKDdPFLN5wcCtOXl7Gt07PYe9EAcW87S3rPDu/ikpVYThrAnDOd2mphDoExayJxVIVtmnAMASVqkLWEqxUashaJt700q145twCvjO7CMsQmKaBWq2O5UodlgHsGCvg/PwqVqt1mOLUcQVnL4TRvI2p4SxOXF7GcrkG0wBylgkxBEO2iaWyU2YqbsUeyVkoZCwsrFa8suufZq6XNtWVQsE2YZjSsNTJFEHZnfpfyJgo1+redOaMu7j9+i3DDfnon/b+2IuXcXm54t2Xvv4bX7IFf/PsrLds8catRZy8vIxjs4uow1mmslSqAQLMjOYwu1BCqaa8+u2sdhGvnCyWqqjWr0WdETjlS+/xqJdtfOqxk7i8XIFtXNvMuJAxYJsGFlaqqLv5fOf+yYYlqF95bhbLlTpMAzBFUK0rXDc1hL3Tw96yL71cTS8FBYDFUhVZy0AdQKniLPGdGc3jH846mzAWMiYsy8BKuYZ6HTiwdRgKQNbdOOXykjONen61AnHTm7cNjORsXFwqeW2/f6mubr+0Sq2O+eWqU4YMYHQog7F8BjfNjOArz1/EVXeJjH9Z0FDWxA1bit7SRqWAUq3eUC5qCrh+yxBmF0qYXSwjaxnYNZ5HpaZw8vIy6nDaY8s0YBnOMsda3VvFiHzGxETBBgCcubqKnG0g5/ZBGcvwNrkczdswDPHax6GcjVq1jsvLZTcijnhtaF0Bu8fzODe/6i2fvbxUxuJq1csvneeVWt1b5qSX2eo+qJgzsVyqoVRTyFoGijkLy+UaJgq20y9eXsbMWB73HNqG//bNU7i4WAZwrf8BrrXbp64sY6VSc8onABFg10QB9991HT7zxCk8dXrOa6dGcpbXNtuG4Htv2Y4vPn0eC6Uado7l8JZbZvDZJ09j90QBt+4ex9eOXfKm8e+bGsLDz1zAwkoVIwUbd984jS/8w3msVGq4Zcco3n77bq891mVLL5vVS74mCpmGJWBDton51UpDO6rbmnKt7i2T+Ngjx7FSqWEkZ6FaVxjOWlhYrXp9fz5jesvFKrU6Vst1VOt1t2922h3d9tum4Y03KrW6284JRMQZY+QsnLnq1K+cbTjtek1BBJgaznj1q1JTUACKWRNvOLgVX3n+IuZXqshaglK1DoGzOXHdfWSGAIYh2DGWx41bi179OXl5GVeWyw1LWZ44ccVbAqPbV//YyBSnvzHF6eOLORNZ08Rltw+HG5GnVnfGMbZpoJizcXXFKau22z/ppcj+661Walgo1WAAGMqaWKnUvGuW3f5vvGDj7NwqTENweNcYbt09jj959AQWVqowDKdPsd0x0kqlhrxtuvlpetsIzK1UvPqeMZ02TKdZ10k9zpwZy+Ohb5/12uihrPNMTTGwezyPE5eXvWXkYcupv/j0eaxW6157rgSoVJ1zVeoKpuEsdanW67i6UsGyO67bOpLF7omCt4RTL72dKNh4xd4JPPri5Ya6ueruZj6cdfI8YxpYKledMmqbOHZxCSJOn1qpK2+j7oJt4KYdow1LnABgxS3fw1kLi6tVzC6WAHHKdLWukLdNZNy9T/QSGf+4OGsZKLvtkBiC11w3iXtu2t6whYResqa3XwCctvT66WEslqo4O7+K5VINCoBlCN5yy3ZviZFedrm4WsWcu3XDjVuL+NbJq5hdLCGfMfHS7SM4P+9sUaD722pdYX6lguVKHQaALSNZrFRqWFipemMRvQxabxEwlLNhieDM1WWvL1YKKGRNZEzD23pBAd54Q/eLpjjt+PVbhnDj1mLD9gfBZY3695C5lQpqytljZzRnY6lURVUpWCIwDAO37x3H8UvLOH11GVPDTjnRWykAwOJqFaVKHVnbwI/cuRfn5lfx+afOOREyTcNrC/1jfVVXWPHtiK+jaZqGsyeX/sw2gDrQMOau1RXmVipenutxQjFne+M9AMj48vaJE1ew7NbvyaEMhrMWbNPA7GIJC6vO2OLwrjHMrVRwdbmCM1eXUVPAkK9N0Uv1D2wr4uc++SROXVn22tNKzRkPj7r9xVeev4glt69ZKFW95YG6386YgjffvB03bC3is988he/MLmEoa+K66WEcPTPnjF1MA6VqHfmMiVdfN4W7D2zBx772Ip67sOC1U6tuvRor2LhlxyieOHHF255i/9QQnj47j0pdIWcZqNYVxgo2Xn3dFF64uIRjs4tYLNW8fb5s0+n79JJB3V4XsxaOX172+vz51Yrz+7IhKLrbwBSzTvmqKacveeXeCfz9qatYKtWwb7KA5UoNFxZKXjtYyJhYLtdQrimnzzCcup7NmN54Ysg2vaWP73/zQWwWXVu21kkbYdlau6EHiQbZegnjrH9h2EwR5rqB+UhEG9166dcGXafCeVM4llOi/nvvXfvX/Qukvi9bo0adDu9JNEjWy8ClrsAXHh3AfCSijY4tXGfwxVF3sZwS9d/nnjrX7yT0DF8e9Uinw3sSDZL1EjnWECe8JrWH+UhEGx1buM7odwjzjY7llKj/7jm0rd9J6BnzyJEj/U5DUw8++OCR+++/v9/JaMvNO0expZhDuVbH3skCFlYrMEWQtU1sH8lh72QBB7YWcXmphGpdhf4lwTbdX9oMwfbRHH7olbsxPpTBvLu2+PDOUVw3PYwLC6tu+EcbM2N53DQzsua8I1kTxbzthfPdPVHA9tEclktV2JaByUIGGctA3nbWdlqGYGLI2TfDMgyslKsoZExMj+Rw5/5JvOe1+2EYgvNzq6jXFcYLNm7cWvTuKWebyNvO2thCxsCWYtYJWauc/U5sy8BQxlk7qpTz/YmhDEbyNsqVGmrK2S/k9Qe2OOupl8uoq2t7SmQtA3nbQNmdDVGwDeRsZ4171jZxeOcobt87gQvzqzBFMJyzcfvecdimwDAFhawJEaBed/a8mBpy7n9LMYfhrImsbcC2nPW7Amdtt2nA2xciYzl7KK1Uaii5e9eMF2ynUxdnnW7GcEPsFjPIuXsODGVMDOct2JazJ4LAWde/a7wAyxCMufsmWYZABNg9UcDdB6Zx+soyLNPAy3eNYXo4iwvzJRjifDdnmyhVa1DKWX89OZQBlPL2xRkvWLhlxyjuPrAF73zlbu+5VWsKOdvAvskCFktV5GwTd+6f9PLItgT1urPXxPRwBrftGUepWsNLt4/gP7/zVhzeNYaLiyXsmSigVlNYrTp7NliGuOuOTeycKOCuG6acvRTgbO5juPmjP3/7bTtxyt3jZ6JgY+/kEEruXgN7JgrX1m3nLViGsy/Q9HAWlWrNy+u8ZUBE75DilI9bd4/ht955K37gtl2wTGevhavLFdTrCltHsvj+wzswXrAxt1rBS7Y6e0LdunsM1ZqzDl4gGM1byNsmRnM2StUaRASjOQvVeh1Zy0DWNiAQFDIG6srZA+F7b94OATC/UkHWMpDLmLDE2dvBMoBd4wWUKjVU3T0z9EAwYzp1bs9EASvlGqo15/iCbSJrm5jI2xB3vy8RcepowckLU+CV3a0juYY8189wOGMinzVRd8uFbTp7XSilvL1GTDfke105+5rkbRM37xhtyMftozlcNz2M66aHcWWpjBV3L6dd4wXv+m+/bSeWSlUslarYOZ7HK/dNIGMaWFipwDAEQxnT28dkx1gOJbfO6/rt7DMgXjmp1utO/Zdre+oUbGfPKd7E9hkAACAASURBVMsQbB/J4odeuRvHZhexUqnDNq7tj1TIOPs5Vdx1+LYpeO31U3jNDVPevZy9uuLuvQHY7r4N108P4ba9EyhmLdy5fxJZy8CeiQJGcjbq7n4X3p4mlgGlnD1ZbtgyjMtLZZiGoJizMJy3IAJYhhOqe+tIDnsmCt6+c4CzT4ze/6pgG5gcymC1WvPa/vffexBvOLgVxy8tee2X/se2BOXKtb0YJoYzmBnL464bpnBxsYRytY6cWw6HM06aR/JOmzCSs1Gq1Jxy4PU7TrkwRHBg2zAAOPujWU5bUcw54XMVnOdlmwaylkDBad+hn0/GxNZiFiM5Z7+QvO3sLVSu1pGzDVimeG3/UNby2sfJYtbbc8cyBKZheG1ozjZxYKuTpl3jBeyfGnL2HTENL790ntuWcx/XTQ1h/9QQAHh90GjegnL3ZstaBsbdvZm2FrPYWsxisVTFrokC3nH7Lrx4yQkBDVwrnyLX2u1SxdlTTPdPhgB7Jgv41/e8BPOrFVxdKnvt1ETB9tpm2xB838tmcPrKMso1hZ1jTh9/6soyXrp9BG+9ZcYJN13IYMdYHnfun8TZuRVnn6iCjXsObcPJy8uo1RVetnMUP/WGG732WJetrSM5ZC0DhuG0G9tHnDZC//9E3kZdqYZ2VLc1GcvAzTtG8dZbZvD02Xl3LxwLlttOKQWv758YyiBrG155dAqTguFrd3Tbn7NNb7xhGYJaXcE2BZbpjAmmhzNYXK16+5pB9N6PwHTxWv3S+zkWsybefPN2XFwsoVpTKGScNxeWuweibi9M9wX47okCXrlvwmvDMqaTjne9ag9+/s0HcWW5jHl3b8ix/LX21T820vvB2e7eIqN5C2M5Z9/ErDu+0e36cNbEcNbClmIOgLOHou6f/uXrb4BhSMP1TAHK7t5Cw1kTdXVtXyKllFevlkpV2Kbgtj3jeOstM3juwgIqVWffNt0H5m2nXxrKmMhahten6jZH1/e8bcIyr6VZ10k9zrx97wRemF302ujhrPNMhzIWDmwdRrnq3NPOiQL+1T85gH9x9/WwTMEtO0dx3fQQTl9Zdttepz3PZgxnPOz2ZVnLwMxo3rvfqrvnyLaRLF66fQRTw1ncuX8SC6vOPk1bi1l890u2YGG1gnLVfSZuWRK3TAxnLYzmnD5zi1uvnX15nD5VRLy+sGAbePnuMRyaGXX2f3Lbd8Bp07eN5JAxDWf/KcMp06bh7GE2mrfxxoNb8daXzeAtt8w0jIvztgGlxz2G4HXXT+Gff9d1KNfq3ljDMAXjQxlMFDJeOTMNwUu3j2A4a6Hk7rmpy/T3vWwGv/62m70xjW7/nD0ynb52abWKlUoNQ1kTh3eNwTKcvlf3t4WMMw6o1J1ytnUkC9MQVHz78mwfzeHwrjEsrDrjmMliFhOFDJZLzt4yeuwy5OZ1uVp3xo7u2HXY1y/abjt+YNswXnP9FK4ul732u1R19tnKBn4P0ftRmQYwnnf6XAiQccffr75uEgCwVKpgS9EpJwC8dqiuFGp1Z4z7Y6/dh53jeRy/tISMKchlTK8t9I/1LXe/Q03gjKn1eF5/ZhtOH+Afc+csA+Vq3ctzPU7YUsx5471g3l5eKqHm1u8txSy2jeSwdcQJQ1+rO/X2VfsmMFawkbNMLJcqa9qUvZMF/PQbbsRPvP56fP3YJSyuVrz2VG9TM+b2FxcXS1AK2DdZQMZyfl/S42udtre+bAZvfdkMZudXcXW5guGss4fTxcUSRIC85bYpWRN3H9iC97x2v7NPqrvfW8Y0UKtfu+4r907g8lIJCsBw1sLBbUVcWSpDue27CDA5nMGbXroVWcvAcqmKSs0ZGxvu73o3uHvv+dvr7SM5b+/RkZyFivv7lGU6v0eN5m1sH8lhzh2r5GwDr75uEldXyqi5e1rm3T3mdDtYzFlOuVHX9rsazpgYKdjeeGIib2M4Z+Fdr9qz7pesAcADDzxw9siRIw82O457HhERERERERERbUJJ9zzqarQ1avTBv3waf/B3L3gRKmzTiWCTMZ1IHRX3ryuWAbh/OIYBeBEaADh/das7O/trBpy/punXgFlTUArsRyL6HzcaiJa3DQzlLKyUa060o8B5g0vVLXe2TbnJficZ89ru/vrFvQFA3MgfUGvPnVTOMrB1JIeLiyUvukupWveiZo0XMnj2/ELDfVoGYBtOpJaMKW4kIeczgfOXNR3dbX657EVtM8T563cdwGq51hAJq6ZU6rX8wecLOM/AMASlSh15N5rMqnuAfm76Ly46CoLl5mMr287YBrzoGPr7OnLS5aUyrixXvLKkn5kla8uUXyYiP2wDsC0T5aoTfUjTEVrqgBedbCFQ/gD37X/W8qKq6chjK+VaQ5n3y5rOTJFgGTXdiF21kJl9um6MuVFl/H/JBq5F+NDR82zTwPRwFmfnVrzrmAZQr69NkwHnrxwQ8fJBp0WgUKlfm22kI70sV8ILlunONPJHAAmrp/50K4XQ6I1ZN9JfsN4D12bpxAm2O82OHclbUAInyplam25dzsM2/zQATBQzmF+uRLY9pjizk/zPYzRnY2G1gmp9bZ3VZbvd/Ths3zmC92NE1B39F7Fq7VpZjMrzjDvzZ6VaQ80tO/owHZ1ERzRckzZ3+lJEcQqtt4Y4EVR0GTPdRkhHLTQEDeVTt5+rvtliOmJfrV73rr13sgClgNNXl2EZThu+VK560ZHC+MuI5c6giLoX3S+ccmc15Kxrkbl01uj2FOLcV9S5mqUljbtumML8SgVPnpqLPEZwbYaXjlqnZ4oqpSLLfNYU5LJOpLhKSBnzl6lO/5lQl4usaXhpnRzKYKVS8yKH6vzSaQneho7QFJY2U5zZajq6WMa9TrV+re9u1k75xxwZN4KkjtoEODNSto3kcOziUkN6/fRfnE3DWPMsnFkIJkwBFss1CICMZXiRVZWqh5YxXZZ0vuiIXUulmpcGJ3Lh2rGW+P5jNGehVK2jWqt7/UhwfAE49TxrGVj0jWvqyunzRvMWsqaJ2cXSmuej27C6b6yk020a155bWL8XbMctd9whcGbv1NzoZk50q/jS6UQ0rTWcz99nav5xtSloaHcNAW7ZMQrbMvCtk1dDxzP+8qjT67+ebYozE6qNPkPPKK3DbX/dqJFR+aejd+mIsiuVekM/qcdS/rID93v6nM3Gb1HpLOYsL7KpnsEWHHeG9eNmIO9aYYjThtcUnJnGgTLYcCycclr1HQOE56n+edYUL/qiNpJ1ItkulWoNY3FDgOumhnDyyooXJc1/rzVf+dft1nK5hnzGhABrxrbBumGKE5Hz0mKp4disKZgayXlR7SpuNDdgbf7aprMqolxzfsfJZ0zMrVSRlAEglzExkrVwaamUqm8My++wcZxfIePM0l9y203b3QYhbnznb6N1pFMdDVZHdMu443/AKT/+/DTEmfVWroWv7rEMYCRnY26lgrpyx/S+8XPwPm3TmUG+b2oIv3rfzbhtz3jMHW8snHnUIx/8y6fx4S8f63cyiIiIiIiIiKhNhgB/9t5Xr/sXSIy2NmA20y7sRERERERERBtZXQGPHLvU72T0DF8e9chm2oWdiIiIiIiIaCMzBLhj/2S/k9EzfHnUI+9/80G89679yLrrOg24e44YgoJteOs9Bc4eGpoBZzd7U/SeHmsfmoHGUJ36Gn7iHhf8KG8bmCpmMJQ113wnrHBYhrOmtBm9xt7wHWpARyhrr+Dl3ChHQxlnr4GJgu3997aRLA5uK665T8tw8lHntz90rMA5x46xHHaM51H05YUhznr7oaxzfp3XGVNaCj8bfL6Au+9U1olKVsyazv44vuP1NfWeH/p+Wo2U7gasafh+1jJw/fQQJnSEOJd+ZmFlyi8qP2zDWf9tBT4zcC1fM27EldC0mk4EsWLWibpzcFsRQxlzTZn3y5oSWkZNd3102Pf03hMTBRtTw5mGcgs4eTBRsL26WsiY2DNRaLiOaYSnyYCzj5E/H3Ra9KP29mJxj41iilOOg+ePPN6tb2GypoTWeyD6O8HrJi2CBoCxvIXRguWdO5huCfw7+P2pYia27XH2g2p8HhMF2yvvwTKqy3a7bLdNDrufqLqj1/g31LWIW8uY4kbzcf5fRx0xxCkrGVMi2wLblDXtTfDcwTwwAmXM63fcPSiC5VO3nwXbcCI6uf1VzjIarr13soA9EwVYxrU2fGo4E504NOaps29d9LH6nKYvb4J5rNtTZ++D2EvHpiWNu26YwuGdo7HH6PI5nDFRcKPgZS0nP+PKfNYUjBYsb/wQPKeOgNRiVxFLlwudz7Yp2DaSxWje8vrKYFqCDIlOm+n2vXrMofOkoQ43uTH/mCNnOdHt/OkoZk3cMD20Jr1+uu8NexaW4UTDGs6Y3rG6DmRMI7KM6R/rfDENJy1G4JiwZ6+fp7NHn4W8bTT0I2HXzJjO2EJ/V5cLQ5zoq9uK2dDno9sw/T1/ui1D7wUV/gyDP7N8aZwezmCiYDsRuBIMZHTag+cP/sw/rg62u4bAjRQ3Hjme8ZfH4JhF19Hgz9PylzXddsfln2U4+bVnooCCfS0Cnv63HksFk+V/Ps3Gb1HpHMtb18YsRvi4M6zfazePgGttuK7zwTIYTIP/mlFtnv/nWVPWnGska3pRfP1jcUOAG6aHkAvcWHBcDlxrt0xxoqCFjW2DaTPF6R+Dx2ZNwY7xPPZMFLx6bRnh+Wv7xr0Z04n4mIYBZ6y+rZhN3TeG5XezElfIuBG2ca1uNRvfBdtHwx3z5X3RLDNuX2S7bZ6fs59j+O8AgJOvuo/Qz9bfxwTv0zad399eur24IZaspcE9j4iIiIiIiIiINiHueURERERERERERG1LN6+N2nL4gc/jaorQiUT9ZAiAiPDFRJ3kFrWeXzMsrDWRX942UK7W14Qxb4We8j748707px91m9YflpP+0ksubVPWhJZv97x8rrTRHd45is/+5Gv7nYye4cyjHuGLI1pv6nxxRD3Sj8GlAl8cUXMrlc68OAKcMrfZfpHabPdLrWE56S8FYLVa7+iLI31eoo3uyVNzuO9DX+l3MnqGL496hC+OiIiIiIiIiDaOo2fm+52EnuHLox4ZS7nzPRERERERERENrptmRvqdhJ7hy6MeefKXv4cvkGhdMWLCFxN1UjdCiSe5ZtqQtLT55G0jNIx5K6JCSG9km+1+qTUsJ/0lAHKWERpavt3zEm10m23PI77N6KEnf/l7+p0EIiIiIiIiIqJU+PKoh/a+/3/1OwlERERERERE1KadYzl85f1v6HcyeoaT9nuEL46IiIiIiIiINoZTV1fx2g9+sd/J6Bm+PCIiIiIiIiIiSun01dV+J6Fn+PKIiIiIiIiIiCilHWO5fiehZ/jyqEde/OD39jsJRERERERERNQBm23PI26Y3UN8gURERERERERE6w1nHhERERERERERUSTOPOohRlwjIiIiIiIi2hg20+oizjzqEb44IiIiIiIiIto4NtPv+Xx5REREREREREREkfjyiIiIiIiIiIiIIvHlUY9sprWQRERERERERBvdZvo9nxtm99BmKlhEREREREREtDFw5hEREREREREREUXizKMe2kw7sRMRERERERFtVNPDGTz6i2/qdzJ6hjOPeoQvjoiIiIiIiIg2htnFMm7/tS/0Oxk9w5dHREREREREREQpzS6W+52EnuHLIyIiIiIiIiKilKaHM/1OQs/w5VGPMNIaERERERER0caw2fY84obZPcQXSERERERERES03vDlUQ9x02wiIiIiIiKi9c8ygOc/sHkmiHDZWo/wxRERERERERHRxlCtA9f/wub5PZ8vj4iIiIiIiIiIUqrW+52C3uHLIyIiIiIiIiKilKxN9EZlE91qf3GzbCIiIiIiIqKNYbPtecQNs3uIL5CIiIiIiIiIaL3hzCMiIiIiIiIiIorEmUc9xIhrRERERERERBvDZlpdxJlHPcIXR0REREREREQbx2b6PZ8vj4iIiIiIiIiIKBJfHhERERERERERUSS+POqRzbQWkoiIiIiIiGij20y/53PD7B7aTAWLiIiIiIiIiDYGvjzqoc20mRYRERERERHRRraZJohw2VqP8MURERERERER0caxmX7P58sjIiIiIiIiIiKKxJdHREREREREREQU6f9n786j5Kjuu+F/by3dPatGo2W0IaRB22gECC0gdgwYkI0B+028YGO8xI7P877vyXPecxJj4teOEz+YJ89yknPiN07ixAsxXmIHmzgWBgM2YNAuASONpJFGuzTSaBbN2ltVvX9U35pb1VU9PZKmZ+nv5xyOmJnu6lu37lbV994fHx6VSDmthSQiIiIiIiKa7srpPp8bZpdQORUsIiIiIiIiIpoexm3mkRBipRBir/JfnxDivwoh6oUQLwkh2nL/zhyvNBARERERERER0eUZt5lHjuMcBLAWAIQQOoDTAJ4D8ASAlx3HeVoI8UTu5y+OVzomk3LaiZ2IiIiIiIhoOiun1UWl2vPoHgBHHMc5DuBhAN/L/f57AB4pURomFB8cEREREREREU0f5XSfX6qHRx8F8MPc/zc4jnM29/8dABrC3iCE+LwQYqcQYmdnZ2cp0khERERERERERAHj/vBICBED8BCAfwv+zXEcB4AT9j7Hcf7RcZwNjuNsmDNnzjinkoiIiIiIiIiIwpRi5tFmALsdxzmX+/mcEGI+AOT+PV+CNEy4cloLSURERERERDTdldN9/rhtmK34GEaWrAHA8wAeB/B07t9flCANk0I5FSwiIiIiIiIimh7GdeaREKIKwHsB/Lvy66cBvFcI0Qbg3tzPREREREREREQ0CY3rzCPHcQYBzAr8rgtu9LWyU047sRMRERERERFNZ+W0uqhU0dbKHh8cEREREREREU0f5XSfz4dHREREREREREQUiQ+PiIiIiIiIiIgoEh8elUg5rYUkIiIiIiIimu7K6T5/XDfMJr9yKlhEREREREREND3w4VEJldNmWkRERERERETTWTlNEOGytRLhgyMiIiIiIiKi6aOc7vP58IiIiIiIiIiIiCLx4REREREREREREUXiw6MSKae1kERERERERETTXTnd53PD7BIqp4JFRERERERERNMDZx4REREREREREVEkzjwqoXLaiZ2IiIiIiIhoOiun1UWceVQifHBERERERERENH2U030+Hx4REREREREREVEkPjwiIiIiIiIiIqJIfHhUIuW0FpKIiIiIiIhouiun+3xumF1C5VSwiIiIiIiIiGh64MOjEiqnzbSIiIiIiIiIprNymiDCZWslwgdHRERERERERNNHOd3n8+ERERERERERERFF4sMjIiIiIiIiIiKKxIdHJVJOayGJiIiIiIiIprtyus/nhtklVE4Fi4iIiIiIiIimB848IiIiIiIiIiKiSJx5VELltBM7ERERERER0XRWTquLOPOoRPjgiIiIiIiIiGj6KKf7fD48IiIiIiIiIiKiSHx4REREREREREREkfjwqETKaS0kERERERER0XRXTvf53DC7hMqpYBERERERERHR9MCHRyVUTptpEREREREREU1n5TRBhMvWSoQPjoiIiIiIiIimj3K6z+fDIyIiIiIiIiIiisSHR0REREREREREFIkPj0qknNZCEhEREREREU135XSfzw2zS6icChYRERERERERTQ+ceURERERERERERJE486iEymkndiIiIiIiIqLprJxWF3HmUYnwwRERERERERHR9FFO9/l8eERERERERERERJH48IiIiIiIiIiIiCLx4VGJlNNaSCIiIiIiIqLprpzu87lhdgmVU8EiIiIiIiIioumBM4+IiIiIiIiIiCgSZx6VUDntxE5EREREREQ0nZXT6iLOPCoRPjgiIiIiIiIimj7K6T6fD4+IiIiIiIiIiCgSHx4REREREREREVEkPjwqkXJaC0lEREREREQ03ZXTfT43zC6hcipYRERERERERDQ98OFRCZXTZlpERERERERE01k5TRDhsrUS4YMjIiIiIiIioumjnO7z+fCIiIiIiIiIiIgi8eERERERERERERFF4sOjEimntZBERERERERE01053edzw+wSKqeCRURERERERETTw7jOPBJC1AkhfiqEOCCEaBVC3CyEqBdCvCSEaMv9O3M800BERERERERERJduvGce/S2AFxzH+QMhRAxAJYAnAbzsOM7TQognADwB4IvjnI5JoZx2YiciIiIiIiKazsppddG4zTwSQswAcAeAfwYAx3HSjuP0AngYwPdyL/segEfGKw2TCR8cEREREREREU0f5XSfP57L1pYC6ATwHSHEHiHEt4UQVQAaHMc5m3tNB4CGsDcLIT4vhNgphNjZ2dk5jskkIiIiIiIiIqIo4/nwyACwDsDfO45zA4BBuEvUPI7jOACcsDc7jvOPjuNscBxnw5w5c8YxmUREREREREREFGU8Hx6dAnDKcZxtuZ9/Cvdh0jkhxHwAyP17fhzTMGmU01pIIiIiIiIioumunO7zx23DbMdxOoQQJ4UQKx3HOQjgHgD7c/89DuDp3L+/GK80TDblVLCIiIiIiIiIaHoY72hr/zeAH+QirbUD+DTc2U4/EUJ8FsBxAB8e5zRMGuW0mRYRERERERHRdCUAHC2jCSLj+vDIcZy9ADaE/Ome8fzcyYgPjoiIiIiIiIimBwfA0if+s2weII3nnkdERERERERERNNSaPSvaYoPj4iIiIiIiIiIxkhMdAJKiA+PSoSbZRMRERERERFND9zziMYNHyARERERERER0VTDmUdERERERERERBSJM49KaOkT/1lWG2oRERERERERTUdrF83Az/+v2yY6GSXDmUclwgdHRERERERERNPD3lMX8cjfvTHRySgZPjwqET44IiIiIiIiIpo+Ws70TXQSSoYPj0qknEL4EREREREREU13axbUTnQSSoYPj0rk6NPv5wMkIiIiIiIiommg3PY84obZJXT06fdPdBKIiIiIiIiIiMaEM4+IiIiIiIiIiCgSZx6V0Nqv/Rq9w9mJTgYRERERERERXYZFdQm88cQ9E52MkuHMoxLhgyMiIiIiIiKi6eFUbxK3Pf3yRCejZPjwqET44IiIiIiIiIho+jjdm5zoJJQMHx6VSF0FVwgSERERERERTRcL6xITnYSS4cOjEtn71fv5AImIiIiIiIhoGii3PY/4NKOE9n71/olOAhERERERERHRmPDhUQk98ndvYO+pi1fseAKAc8WOdmm0XBrGIx3rxCFs0lqx1W7CbmfFFTuuLgAIwHEAe5wzcDJco7HSBWCNMdEaAHtcUkPFkFNIeQ0uzVSsp2GCddfQ3DZuvNs5Kr3L7R8Llfli+wBDE7BtJ7LdkWnc5jRhlx2exqlW9zTB+lQKpgaYhg7HdjCcLa5n0wCgiOtzpcYrhgYEk8ax0JWhtguX00YIAKYukB7roJZCTbX2uhTqKk382f2r8OhNiyc6KSXDh0clcqUfHAGTowKPVye5ThzCD2JPwUQWGRj4ePrJK/YAyRqvp10hJsM1GqtL6WM5WJpYzP/LMxXraZhg3S3ynoummCvRPxYq88X2AdkCd+nFpnGq1T0+OCqNjA1k0taY3mMDRRWoK9UshrWvbHKvDCfi/y/lOHxwdOUwJ/P1DmXw5HPvAkDZPEDinkcl0nKmb6KTMKVs0lphIgtD2DCRxSatdaKTRERENOGmQv84FdJIRER0JWxpOTvRSSgZPjwqkTULaic6CVPKVrsJGRjIOhoyMLDVbproJBEREU24qdA/ToU0EhERXQmb18yf6CSUjHCcyT8JbcOGDc7OnTsnOhmXjXsejQ33PJoY3PNo6uGeR5dnKtbTMNzzqHxwz6OJwT2PSoN7HpU37nk0OU219roUptOeR0KIXY7jbBj1dXx4RERERERERERUfop9eMRla0REREREREREFInR1kro2W0n8M1X23C+P4VMbgqlXPa1sC4BXdNwqmcIuiaQsRw4cKcIahqgCQFTExjO2KFTBgUAQxfI5t6n56buymOsmleDUz1D6E+NRK8ITk3XBSDE6BF6BNzXFZoabOoCNXEDF4czELklYsBImqJUmhos2/GmmGpjWEJlakBlwkAybSNj2XBCPksTQMLQkLJs2PbI8QUAXQMseyTPgJD3y/8R7mssx/1cK7A0JKYLGJrAUKa4CcyjLRPQNWBOdRy9Qxkki5zCPdr00pq4jnhMR8ay0TeU9V4bnHZtaICuaagwNTgCSKZtZG0bmnCv8WAqi7TlQOQ+MJi6+bVxZG0HnQNpX5p0ARi6BlMTGBhjVBV5vXRNgwYgbdkwdQ11FSbO96fy0mDqApoQcJyRshXTBSzHgWW7/x83NF/9CPtMJ/BzhalhKGN79dQQbt21A+/RBVAZ0zGQsoqe8ht2/TQBVJg6ls+txqFz/XnlSxfue2RZlHks8yhY/ypNDams7St76nKYd8UKBIuwWlaDZaW+0kR/MoOM7V8eqtbFqHy0HCCllG3ZhgkBVMV0pLK2b+p5penWxqGMDV0AWq7dDMtHhORlXBeoihvoHXLbKAjAtt3PMzUByxmJJiWnvjuOk5cfxdJz1244a8Gy89toNb2FPiKmC8RNHZZlYyhjw9Dc4wbLrjymrrnnVeiYmnDTI89N9ksCgMiV66ztjGk5a1z31wWVobllQoiRNjdIpl/tAwSAipi7lCWVtb00OvC331ou3e55CFTHdfQOZyM/A3Cvb0zXvOujiukCuhChy2dkn+Bdx1x5BYAZFSY2LKnHG4cvoHsg7eWFnktbWFkKLoWJ6SPjAcC9TjHdrbdjKYoaANNw2/GM7WBYaYvUuinzwYZ7HpbtoHso4/u7LgTSlg0h3DY4FZIvxSx9k8uMEoaGrO3AcRxklfIQ14W7LD5X77Tc58t6GWzPwtrMmC5QGdNhGBqG0xYGC7TxQbJdt5U0jbFJMwAAIABJREFUxQLlRIN7PdVraWjuNZLtsyaA6xbOQMuZi961rTQ11CZMdA6kRs2nhKFh6ewq9Aym0dGfAnKfOacqjovJDASAZMb20qr2P7o20h/UVZjoS2aQtUfaBfWjdU3g2gW16BnK4Hj3UNH5pCsVKexcDA2oTZi4OJxx2/Rc4qpiOpIZy5d3pibQvKAW+85cRMb2tyPBuhBst4oV1/3tu6EBdZUxpLI26itj6B1Oo2846xtLa7m+NGv5+0sNQNzQ8toGXQNMXUMykLhKU0PC1L1+R/bXatnVxEifGVwmKceC1XEDA8msVx5Uar9cHddRHTNwYTDltY/q9YAAKk0dwxnL+7vsq2wA6axV8J6gmHquC6AybqC+MgZTF+geTHttSqG0y7zw7iFCxpcqU6mH6nmHpT+uC8yuTaA2bqBzIIXuwfTIuEkTqK800TOU9q5N2DnKNlUDkMz6780MDaiOG3AEMJDMwrZH+ij590Ll9kajDXfFDuF36RXYll0emT/B9NRWGBhIZZG1R9ovAHBy17YqpmMobfnaiIV1CXT2p5BSTlJA5r2AQP64x9SA63AIN4mRpdMCQF2lgdpEDN2DKXdrELj1dihtIW050AVQXxWDZTvoS2ZwW7wd11steCOzCu9qK2HoGlIZy8vvmrhbDoeU/kqOa2sTBnQhfHXA1P3jQHX8Z2oAhIBlO7l7Zg1zqmM405ssWK50AdQkDK8PkWnRBTCnJo6G2gQ+snHxtFi2ViwuWyuRZ7ed8EL5ERFNRlciBDgRERERjd1UGIddiTROhfMci6c+eO2Uf4DEZWuTTDmF8COiqYnhtYmIiIgmxlQYh12JNE6F8xyLcrrP58OjEimnEH5ENDUxvDYRERHRxJgK47ArkcapcJ5jUU73+Vy2VkLc84h7HkXhnkfc82i0zwO45xH3POKeR9zziHsecc8j7nkEcM8j7nnkxz2PuOcR9zy6PMUuW+PDIyIiIiIiIiKiMlTswyNGWyshOfOoL5lFfWUM5/qSSGZtxHWBRFyHbQNVpo6u3JPyhKmhKuF+u6B+e1FXaWJOVQztFwYB5M8eggDiuju7xso9fY4bmvetk+W43/RXJUwsnJEAALRfGMRQ2kJ9pQkAONObhKkLCE0gnftGS35TXBkzsPaqOlwcziBuuI+1uwfTMHUNfcmM+2Q3a6N7KI2quI55tRXoHEh5x2+cU41t7V3IOkDjrEr0DGdwYSANwH0yrCvf1ggAMUPDTUvrETd17DnRg6G0hazlzkJQnyrHdIGr6ytxqnc4982WQFVMxw2LZ6JxdhX+450z6EtmvW/sAffpPwBv9omZy6fe4QxiuobBVBY2Rr4ZnVFhojpuoL4qhrrKGA529ONUzxAggBkJE8mM5c1qAtzZJuuvnon9Z/vQN5xFfZUJXRNIWe7sqEzWyX0D7UDXBGrjBroGU963rDbcmSC36K3onLURLw8uQfdAGkIb+TwI930QwCNrFwIAfrLzJHRNYOnsKgDAwXP9GEhmYeoarls0A+msjQPn+pEwNAyk3N8vnFmJNQtq8cbhC+gZTEPX3G9sk1kbmayNGRUm6qtiaJxTjT++8xoAwM92n8IL755F91AGMV3gfdfOx+neYRw5P4Blc6uRztpoOXMRmhDeDBihCTTNq8G6xTPxm9ZzgBBYs6AWXYPuzKQT3UNYXF8JB0Dz/FocuTCI831J3Nw4C7871IljXYNoqE1gbk0cp3uHMZDOevkYM3WsWVCLXcd7MJi2vBkUugbMq02gcU419pzogeXAO/e6ShO3XDMbLacvYjhr+8pubSKG/mQGDbUJ1CQMtF8YRCprw9QE+pIZGJoGTbjf+lbHddRUmBhIu98yyW/ZTF1D50DK/RZLqdc9A2mv7sp6W2nqqK2MoTZuoC+ZQcqyMZDMIpWb3eTN5MmVewGgKq4jpmu+WX7yGx9DA0zNnWkgvyGM6QLJrDsLSZaxypiG5XNrMKPCxJ4TPUhbDuZUu9faPrEN11st2OY0Yb+2ChDC/QbYdpDJOlhQl4DjACe73XpwzewqDGUsXBhII2u7MwANzf22PmM7iBsaGmdX4dC5fgxnbBi6W0/7hrPQNSARM1Bl6hhMZ902RxNYVFeBobSF8/1JzKgwkbWdvHbAzH39nbUc1FaauG7hDJzoHkLWstHRl3RnngGwHQeVpg5NF951ujCQQjJjeWXc1DVkcrPZOgdSSGVtLKqrAAAc7xpExnagCQEt1/4aGrw2S7bUsypNzK1N4FxfEjFdQ9qy3TYlnXVnl9oObBtYVJdAfyqLuKEja9te25BM27Ad/+dUx91v6uW3buf7U4gbGkxdQ0Pus7qHMtAFvBmseq4MuDMsHWRtB42zq1BXFcPJ7iFYtuO1v0IpX/Nr41jeUIPdJ3pQHTfQUJvwykcya3sz+bKWg8q4jluumY3G2VX4Tes5nOod9toMTRO4OJzxfdu3eGYFugbTSGdtCE2gvjKGrG376nLGdpDJzZaT3zTK2Y8DySws2813TbgzbuO5eiXb1ZgufH1c92Aa9VUx9CezaO8cQCaXHvebeIG5NXHMro6j5cxF2I47A8KBwLK5Vbhj+Rz8pvUcrhpqwVrb/ZZ0r7PC6xcaahOoMHXvWg+ms7hBtOFGbT/eyKzCTms55tXG0dmfQtpyUBXXcdXMSnQOpGA7wIfXL8LiWVX48Y4T6B3KoOPiMNLKDAuVnmv7AaCh1j23c31JNNQmcFV9Jd452YvOgRRihpsfADCctpDK2KhJuG1aZ3/Sa3cX1FXgtUOd3rVYVFeBmoThzg5QZghUmhrWLJyBusoYeofS2H2iB1nbHVusmlcDketnDE2gtjIGK2vjYq7trDB1HO8a9PqqwXQWWcudyRY3BIYzFhzHP8PM0AVmVcUwnHFnC8Vys0Vk+9HRl8RgKovBlAVDd8tQz5A7u2thXQVuXTYb+05fRMuZiwAATWjeZ8UNHTMrTZzpTXqzO+S/MUNHwtAwnGsP+pNZDKWtvBlO1XF3dlnC1FEZM9wZl5aNobSFmKG5MyGzDuKGO1Nq6ewqxHQNLWcuwtRHrk0mN16oMnX0JTMjs5Vy44fhrJs3cjabro2U6+UNNWheMAPP7TmFd072ejOAZ1QYiOu614/J/7dyswdlXz2YtrDnRI87AyWXbysaatA7lPbqy4muIZzPfbMfnD2qzgqUs4DkrKZ5uet+uHMwV1bjmJkb99YkTPQOpzGctrGgzu3L98r0A7g10Y77K9vwy75G36wLlSbceivPSc6kAkbGXW+f6sVgysK82jguDmfcOpVrs7TADD8tV+bk7CLZj3zqqvOoObsV27AaB40mdA+moGsCjgD6h7OwHbetvKlxFra2dwEOvPKtzoiW43p1hqQugKq4gbtXzcVg2sL+MxfRO5xBKmOjvsodl+w41u21z+oMF124MxuTuVkaFaYGw9BQVxHDvavm4siFQRztHMBAMovOgZQ3Ro0ZGlY01Lj5kbURy81qe/XgefQPZ2HoAkK4fak8ZtzQsXBGAofPD6B3KIOEqUHX3HYXQmBWlemN32R5qDA13KC1Yb2zD29aTdiWvgamruELNa/jXmcbfjp8A76beg8qTQ1ffrAZJ7oG8fO9p9E3nMGwHP8LYFZVDIOpLFKWjbjun6GsC2DRzEqvLMUNgVTW9u47jl4YRDJroybu3gdsa+9C2nIwo9LERzdc5Y0nl8522/jug29gk9aKFvNa/OTcfFTHDa/+y/IvZ7XWJgzMq61w+xvLQWd/Eoau4e5Vc3Gwox8HOvrhAKiN64iZem7WnYPahIHlc2tQV+n2v+2dA8g6jnfPJseImia82aFqeb44nIUugJXzajC7Oo7dJ3rQbB3Aemc/ttlNOF1zLarjBs71JTGYslAd1zG3NuG7Zznfn/TNVkwY+sjMPtvBUG52ZkNtHIvrK9E9mPbOMWWNjOns3ExRtW+Qx59RYWI4Y2E47ZZl+f8L6hJY0VCDd072ejOGZHsSN9xxoq4JzK5J4N5Vc3Fu/+uY37MTW+0mvI0VqEkYXvsn8/BcXxIA0JfMQBPufYv6mt6hNPad6XPvl5QyqvalattdXx333gu4Y1u1/0pbNpbNrfbdw3zm1qXTYuZRsTjzqEQYbY0uxWSNRqBr7nTW7FjWsdCUM1nLH1GpjaUusN4QXZrJVHcmU1qmmrC8WyFO4hvmP3uv+VLms/iRfc8EpnLEVL3WUzXdxZhq58Zoa3TFldMu7HTlTNZoBJYNPjgqA5O1/BGV2ljqAusN0aWZTHVnMqVlqgnLu836dgDujCIA3s+TwVS91lM13cWYaudWTvf5fHhUIuW0CztdOZM1GoGuuVO8aXqbrOWPqNTGUhdYb4guzWSqO5MpLVNNWN5tsW4EMBJAR/48GUzVaz1V012MqXZu5XSfz2VrJcQ9j7jnEfc84p5H3POIex5xzyPuecQ9j7jnEcA9j7jnEfc84p5H3POIex5NDoy2RkREREREREREkbjnERERERERERERXTZjohNQTp7+VSt+vvc04oaOukoTNzfOwq4TPTjZPeRNIz13MYnFwy243TyA9qp1eFesgKlriBkabm6chZoKEzMrY2g5cxGHz/UjlbVxc+Ms9KWy2HO8B+2dA7ABLJ9b7U21V5cFzaqK4eiFQaSz7tKIgWTWnZIsgNuWzcaf3LsCP9t9CofP9aN7MI3GOdWojOnY2t6FmZUxrLt6JpoXzEDPUNpLx4Xc1MM5NXHUxA1v6ufAvE34WecCNNQm8Md3XoO//c0hJI++hdvNgzhZuw5rFsxAQ89O7NGa0Z5oRu9Q2lsWJKfOqz9fVV8JANh5rNtbJvWZW5di8awqbzlglakDAljRUIMjnQPoS2axqK7CS3fLmYsQAJoXzMD//PUBdA9lvGmzj960GLuO9+DpLa04cn4ANQkTpi5QXxXzpoc/89YxHOkcwM2xI7grfghv2U3Y7eRPq5bTfPuTWfQMpfG+upO4dfAlzKyMoX3hQ1h6w3uw/uqZAIBdx3vwrd8dwdHOAe+zPrRuEQDgW787gv1nLnrTJeVSmoxlo3FONRpnV+Gt9i7vesolZeuvnoldx3u8axnv2IW1Vgta49ehs+56LJ1dha7BNDavmY9HF3Tgt7/+d3z75ALsdlbg6vpKDKUtnL04jLpKEx+6YRGOXBjE/jMXUREzsGBGAofO9WNxfSUeuWERXj143kujuuRr45JZuGvlXPQMpdE/nPGlU5bpGRUmtrV3IWW5y0zqK2O+KaFyqaG6zG04a6N5fq23FHE4Y+OO5bNRGTe8sniyewg9Q2lsapyFwbSFo50D3mcunV2FoxcG3aWcuSmtp3uHUREzcO+qub46JsuKLOdyOr+6rEkec8exbvQMZbBBc5erbHNWY5e1HI7tIJW1vaWGMUPDvNoEeoczWHtVHU73DvvaALkU9HTvsDtV29DRPL/Wu66AuwT2xztOIJ210ZfMoCJm4DO3LgUA/Msb7Tjbl/SWlN26bDY+tG4RDnb048c7TqChNoG7Vs71XTd5fPU1smypS1Nlmdt3tg/N82vRl8ri8Ll+b1mkXC4X0wXmz6jwlmHVVcS89Ml0yyU7i2dW4EjnAIQQePTGxXhv8zx863dHsP1olzfluT+Z9ZaVVcT0vPogl8vK5X7ynGT5C7aZS2dXecsU1XoanM6vtrmvHjyP831J7729SXepx3Dagm0D9zc34Mals/DNV9twvj8FTQjctLQei+orvbKjXlO57GQwlcXW9i5v2VpFzMCaBbXYcazba79qEobX1u860YMDZ/u85SsyHzKWg46Lw4Bwl4XWVJjYvGY+Vs6r8dqB9guDWJrch5vEfuxCM3ZYy7BoZiX+14fXAgC2tndhW3sX3jl9EXetmIO/+egNePpXrXhhX4e3lHTzmvnYfrQLv3rX3RxyRoWJpbOrvCnkMh+PdA5gOGNj8cwKX1k/cLYPCdNdRnDXyrl516VrMO2VLQF4Zfdf3mj36r5cNivbR1n+V86rwdb2LmxqnJX3nj+YewbOsTfwwsAyvJVuxIqGGjhwl0XIshBWz7a0nPX1m3I5KYC8JSKNc6q9upXo2Il19j7s1pqRmrcBf3znNXhpXwd+svMkKmM6HrxuAfpSWVzoT/mmxa9ZUItHbliEnqE0lqf2wzn2Bo5W34CNtz/gO2dZjgwhkMpavrIr68WZi8NIZx08VH8SzZl3caZuPd57/0Ne//Dl595F2/l+aEJgRoXpLfHed7bPt4RYPW59lTuVXx17XOhPecvldE3glng7bjcO4JXUCvTUr8X/viWNVcm3gSW3Y5e9HD/bfcqrE2q5Ptk9hE2Ns1AZN7zy2p90l3leXV/p9eOyH44bGjRdIJm2vdfUJIy8tlMup+wcTOUtFb+6vhJX1Vd6bXvGcpDKWjA0gY6+JKoTJv7s/lXesho4QNqyUZMwUVdpev1JY3I/1qTfQXv1DWiLNXn9hLpk/7+8xx0rfPPVNvTkxjByecauEz3ecu9HbliEf/jdEZzuHUKFObI8Tr0+m9fM95ZJBPsDufxTLtu/a+VcPLfnFPadvoiM7cDUNW/J4t6TvXigeR6eeF+TV9dlXd17ogc2BG69Zhb+5N4V3jhlIJnFxWTGW8Yv80ztw871pXC+P+ktMW/oewfr7H14y25Ce6LZd85yrKWOaWT/PKcm7o05t7V3YcexbiRMd5m1bD/3nuzF2qvqcLCj31uG9FePXIuDHf345qttGM7YWLOgFvP63sFaqwUnatdht70cqayNj2xcjO1Hu/DbQ524buEMLKqvhABQEzfwm9Zz6E1mvHpeU2FiU+OsvPZBba+C48xXD57Hm4cvYDhtIW66S2Ka59eiMqbjtUOd7hKd6rhv+ZO6pHRrexcW11fii5vd/V7Uttx2gDuWz8bBjn6c7BnCsjnVvnb/6S2tONk9hEfWLvT6VTnOlGMMddyzqXGW7zPUv8s2Th0Pv3rwvK88GJrwtneQy7303LIotb4BQM9QOm+bBV0IDKSzWLd4ptdvhpFlQr3/CI75zvcl8ZGNi7FyXk3oecv2Qd0iQC4hlfcbsl22HGBOdQwbltR791HqcsI51TGvPZf3YVlleXwy7fYXtQkDNyye6V17damweo9y+Fw/Gvrewc1aK07UrkP/nHW+clUTN3xjMHVsKpennewewqmeIW/pv1wWK8tWcNuIltMX0TmYgi40zKo0cap3GAlTw7zaCpzoHkIqa+MWpR1Q8/dnu0+htnM3Grp34nepFThasca7d5JjbDl+lG2RHMMYhoZ1og03a614LbMS2zLLfO2Weo0BeOModQyo1hvZT8j6q47xTvUMIWHqmF0d98Z36rYYfaksft92AWcvDqMqrnvLC+Xndg+mca4viaG0hcbZVdjYOMsbu3xk4+JpsWytWFy2ViJP/6oV33qtfdTXTXRoQrn29FJfVyj96t+s3KQ3HfakCcH4hTsa8U+vt/v2kAoz1mu0ThzCD2NfRwxZAEAaBh63v4I//aNPAgA+8g9v+tbeA+7ae8dxYNnBo43O1AW+9tAa/MXzLUhbzqjX5IeJb0C3M5PmOkxl41l/TV3gR5+/GQc7+vHkc++O6b1yn4VCNAHYk6A7KLYNmqjjTTXqtY8qnwKAaWhIBxqi5XOq0Jbbs2SihJVdXdmrTmXq7h4omvDvZzKWenk59azQ5+1xVoypHAaP8Unrz7HbXj7mPiHsOB/8wIfw5efexSV0L2P+vK9lHsNXzWeQ0LJwtBg+mvoStkfsYzNVTdS47akPXgsAl1xOVWsXzcDeUxcv+zhhJnpce6XSIADETQ0/+KNNl9U+XApNAJrcZ6gIwX5vtH5Q7htoY3pF0p0s45qxmAz1pVi6BlzvXHp6p9K5juapD1475R8gcdnaJPPCvo6iXjfRoQmLbWOjXlco/erfDFiTLgTjC/s6Rn1wBIz9Gm3SWmHAghDuBoAGLKx39mFrexe2tnflPTgC3M77Uh4cAUDGcrCl5SwyuZMZ7ZrodmZSXYepbDzrb8ZysLW965LCgRZTlibLAOtKJ2OSnNaEUa99VPl0AGRCGqIjFyb2wREQXnYtO/z3GcuB7SCvTR1Lvbycelbo88ZaDoPH2Ojsv6Q+Iew4W1rOjsuDo7DP26xvh4kshGMDVgYbnP3j9MkTZ6LGbVtazl6x8NAtZ/quyHHCTPS49kqlQbaTl9s+XArbGdtDneArR3unA7ftm04PjoDJM64Zi8lQX4pl2ZeX3ql0rqMpdZswkfjwqEQeaJ5X1OsmOjRhscHXo15XKP3q37LQJ10Ixgea56GY6PNjvUZb7SZkoXtRsLLQsUs0Y1PjLGxqnOVFfFMZuvC+XR8rUxfYvGa+F31qtGtiaeakug5T2XjWX1MX2NQ465LCgRZTlrRiK/84u9LJmCSnNWHUax9VPuXMo6BrctEaJ1JY2dW18N+bunAjswX+NpZ6eTn1rNDnjbUcBo+xQ6y+pD4h7Dib18wft8Ff8PO2WDciAwOO0AHdxE6xepw+eeJM1Lht85r5Vyw89JoFtVfkOGEmelx7pdIg28nLbR8uhSbccWGxgq8c7Z1y5tFYPmMqmCzjmrGYDPWlWLp2eemdSuc6mlK3CROJy9ZKiHsecc8j7nnEPY+45xH3POKeR9zziHsecc8j7nnEPY+45xH3POKeR9zzaLIodtkaHx4REREREREREZUh7nlERERERERERESXzZjoBJQjOcU4bmi4u/o4PjDjCPaZ1+Gbh+u9JV5yWqx8vTo19kJ/yjeVV51GC8BbriSn/K/X2oBjr+PFweV45nSDNwVfLl+Ry4rUKX5yWqqcJjmYymLg8Ju4UezH4cq1WHvL/e4UvZPbgWOv40Dierw8sAT9wxlvOqW6/GfP8R6c60vizspjuN08gPOzNmLj7Q94y2TUpTHq0i11aZdcjrD+6pleHq6xD+KO2EFcvf4+AEDP/lcwc/XdWLXxXjy77YS3bKE2bqBzIIVU1vaWQO072+flhZwiLZ3sHsK5vqQ3hVxdsiKXewHwLQNSl8fIKcsyb4PTzIPnE7xuNXEDb7V3eeVBzaflDTW+aavB6cSPLTrnLRHAVTf6yoVcfijLzcGOfmxpOetNc97a3uW7hupUbPkewF3e0nauH3tP9uKR2adxk7YfbYm1eGngajy28Bzuq2rzlQk5DV1e17DPVY+tpjGsbKt1IHZ2J5YN7cWWgWuwNX2N7xrJY8tlR3L5mpymXFcRw5+tvojmzDt4y1qNpTe8x0uDmp7+4UzeEjmZL8/tOYUj5wfQUJvAuqtn4s6Ko6g5txUzV9+Nwbnrfcf61u+OINGxE9dm3sV2ZzWWrbvbt1ygrsJER18ScUNH73Aaw2kb99Ycw8N1R3Fu5gb8rHOBl4+DqSx6D76BTXorGjc8gPseeCiyzZHX/p7qY6jp2IptHQJV1kWIJbehLb56JJ9PbsehF/8JJ7sHYV37Ucxqut3fluSWu8g8lVOK5bV49eB57DnR402nX95Q45sKL1+rlt/gUlx1erP8nZyi/+H1i/DEtf04vfdF73qFtRHy82TbpS67lXWrdyiD7sEUEqbuLbtSp37LeqaW3eDUcTntW12SV6g9UN8r09CfzHhlRy5XlWlfmW4Fjr+BM3XrgUU3+tosta8InnuwDgV/py7DC07drqkwUXN+NxJn3kRywS04EGvyrr96nJYzF1HbuRs32Ptw9fr7sNte4dXpRxd04PTeF/H8xWuwxx5Z1iuXKcnp7rJuBfNYrftyWa+6PE22o3IpuFxCK89N/VftM4Lpe8tajfT8DXllTy6Lk3VmVfJtHEhcj++fasDv2y54y3FuXTbbd12D1+9D6xah6vwu7H/zV3iuZyl2Wstxf3MDjl0YRMuZPiydVYmNjbNCl8Sqy0NiZ3fiZn0/9pnX4ZnTDV69WZ7aj86Wl/FqcgXWLJyBptQ7OJetRLXVh0MV16N/zjrfdZNtvuw7m9PvYK++BvUrb0NNhYn+4QxOt/wOd6deQWVMx56ZD3hLJmT7GVyKIH+e0/s2VibfBq6+DQdiTXnL0tTln+oSv2AfObtnLzre+Y1viZ0UXEIZbD/Udkpt++SyFXWZsVx+0jWYhgDylmIHl+gEj6+Oy9Rli8HxW1hfD4SP63Ye60bvUAa3xI/gvqrDmHfdvZjVdHvo+8OOK8dFsg1qOXMRiwdbsElrxeHKtXnt5Zefe9db5vWJTUtC23N1abNc/gchcO+qud4yj67BFO5tasBjNy/x2nlgZCsD+R51yfsXNzdF5odzajvmXtiBlth1eFesGCljNfHQOrZv60sYOPRbtBjX4lCsKW9Jf8zQvDZHbkuwbG41vri5yRuLyLIU7D/U5VHy89V0q2SenuwZwr1NDfjCNV3oeO07GE5b6Gz8EPrnrsM91cfQ8fZv8JMLVyO2ZJNvLBFsr4N9pxyXNtQmcGflUa/tXbXxXi8P5ZhXLtWR4+4Hqg9D7e8BePXiJvOI1xasveV+vNByFtuPdePGJfV48rp+ZF/7G1SmOvFG7WYcXPh/5I3N1WuhHlcuEwu2q9tffwENXTtwqOJ6tCeavbIS7GN6htJoO9ef13/LfjBvubHWhtN7X0Tb8TNYkGxDzdJ1sGM1oWOFsHIqy0twKwBZp9S6rS7xVMc5ajurLnlW66R6vYNtl8w/2d+FLZcM1l25RFN+njr+jSrHMh/Xa21Y0LsTdU13540h1bGeHOfGdM3bGuTicMbLl5f2deCFfR3eEtiwsbr8/HVaW959r8ybPcd7cKpnyFvSJrc8ePSmxf4+PPdzsL0LttHy77fF25E48ybqmu4u2KYGl+TJ1wXPD4B3/xu81yoHXLZWYs9uO+GF94wKUShDBcvCXygcqCaAmOGGDpUD7Y/941tI5yIm3Ggcxo/iTwFWGinn0sMghqX1C3deg/t2fh6OlULSLi5kvXqMx7LTfy4zAAAgAElEQVRPYqcV/fqYoeGHn9sEAPj4t7d6g4BP3bwE33qt3Xc8KzeJToeNDAz82+pv4it7SrvZazEhwZ/64LVYOa/Gdz4/+CP3HNXrphpLqFGZJwktC6HHgcefB666EbuO9+Dj396KVMaGkztmMJy1qQsvQlsYTQCG5oaMkyG9o8Iyx0U2srwFQ2/L8Nry2JnsSBoLle2wzw9+nqm7oW2jzir4/setP8derETWsvPOtRj5x/sydlrLYGgCluOEhjS1F26MDJFc6PyCf3v95n8OfYAkr32zdQD/aj4FExnocGBDIA0Tn8g8iX36Kvz8IRPLfvUx6La7jj8NAx/PftmrozFDw198oBl/+ct9XjkazZUO/7tOHMKPEt+AZmeQgYFP21/Gn/7RJwGMtBGGNjnCDRfTHgTJzUqzllNUCFtTF/jaQ2vwl7/c5517sA4FfzdauqI+19AFNOU4Ua9bJw7hxxXfgLAyBUPvFmpvZN3/yoPN+Mov3s2LnvbUB6/Fia5BfOu1dt/v5bnJf+VxZJ8hz2+09Lkbcmu41nbrTKH2TKVePwDYaLTh+/p/u6wwxIXyOb//s3x1++PpJ/GOthKaEMhattfmFzrmD2NfRwxZAG4b8LH0l0dN85UKtxw8zietP8cTn3sc66+eiad/1Zp3vcPIcYPsMz7yD2+GRjS9VDFDw2duWRKZFnX8Jtteta8fbVwXlge7rOV5fWHwuGGh44PHUtvLP/z7N694xL2xtHm6JvCTP84f545WloJ1bL12KNevjV72RgtfX0x/pZYv1a7jPb48DatLX808jq+az0SmVW2v5RgkLC3BPDr+4A+x214RWqaCr/1E5km8K1bCctyIvqONMX4U+yuYsLzjfSnzWfy79l5vbK6OyQxdwHGiIwXrGrBOi24Tg33MWGw02vDD2DcAKwld+b1sC9WyHzXWHo2s2y/t6/DVf1luEGhnRxMsf1H5JwDEzZF7hWLrbnCsHVRoDBm8ZxjLeTyydgF+9e7Z0Dy+1L7ikbUL8PO9ZyJ/VgXb6GLb1GBfIe9NBOCLxP2FOxrxxLX9wPceAqw0oMe8e62pjsvWJik1lF9UiEIZKjj4+jC2MxI6FHCfeqsD8g3OPsBKQ8PlhUEMS2tv6yuAlYZwig9Zrx7jRhR+vTyvrblvA+S5vrCvI+94BizfsZOHf3dJ53k5iumKtrSczTsfeY5RN1JjCTUq88QNi5x2n4oD3mfKQ4WFsy704Ei+J2M5vpDeUWGZC5W3YGcmw2vLY6tpLFS2wz4/+HmZAg+Owt6/wdmPjLw2gXMtRv7x9nnHigppWihEcqHzC/6tt/WV0GPIa3+TkK93c0QXDkxkcZNoRSZro2f/K9CcDIQ7BoIBy1dHM1kbW1rO+srRaK50+N9NWis0J+Od83pnX34bMUnCDV9KCrJK2osJYZuxHO+aRNahwO9GS1fU52YDx4l63SatFZqdGTX0bqH2Rtb9LS1nQwfhW1rOev2AKniOwT6j2PRZtvs+WWeK7T+zgbK30dl/2WGIC+Vzfv/nr9ubtFbvuqltfqFjGrB8bUAxab5S4ZaDx9no7Pfa/7DrHSbYZ1zJB0fy+IXSoo7fwvp6oPC4LiwPwvrC4HHDjhk8ltpeXukHR8DY2jzLDh/njlaWgnVspF8bveyNFr6+mP5KvQ6qYJ6G1SU5PopKq9peF+rLgnnUs/+VyDIVfO1NotUbj4T9PTjGUM8BADbr2yPHrVkr+sER4LarhdrEYB8zFhud/RB2GkYunTK9si1Uy/5oY90osm4H678sN8F2djTBVETlnwP/vUKxdbfQtQAKjyGD9wyFBF/z20OdkXl8qX3Fbw91FvxZFdbnF9Omht0T2Y7/wRGQ64uOve7eYzmW716rXBT18EgIUS+EqB/vxJQDNZRfVIhCGSo4+PowmhgJHQoAmxpneSHaAWCnaAb0GGzolxUGMSytdU13A3oMjiju2MFjbEfh18vz2tQ4CzFDg5471wea5+UdL5s7P3nsxLI7L+k8L0cxEUE3r5mfdz7yHNXrphpLqFGZJ25Y5Jg7nRLwPlNWeC0knLWpi4LnoAn3NWpI76iwzFaB8hYMNy3Da8tjq2ksVLbDPj/4eaYuCjZywffvFKthymuTS89YIr3mH6/ZO1ZUSNNCIZILnV/wb3VNd4ceQ1777Y58fe6bW0cgAwPbnCaYhoaZq++GLUw4DuA4QBa6r46ahobNa+b7ytFornT43612E2xheue8SzTntxGTJNzwpaTAUNJeTAhbUxfeNYmsQ4HfjZauqM81AseJet1Wuwm2Zo4aerdQeyPr/uY18/PaKcBtR2U/oBKBf7VAn1Fs+nTNfZ+sM8X2n0ag7O0Qqy87DHGhfM7v//x1e6vd5F03XWnzCx0zC93XBhST5isVbjl4nB1iZIlN2PUOE+wzwsrP5QiWp7y/K+O3sL4eKDyuC8uD4PvDjht2zOCx1PZyPL45Hkubp2vh49zRylKwjm1zii97wfSF/Txa/6FeB1UwT8PqkhwfRaVVba8L9WXBPJq5+u7IMhV87TanyRuPhP09OMZQzwEAtlg3Ro5bDeW4YXStcJsY7GPGYodYDUeLIZtLp0yvlWsL1bIfNdYejazbwfovy02wnR1NMBVR+Sfgv1coNn8KXQug8BgyeM9QSPA87loxJzKPL7WvuGvFnII/q8L6/GLa1LB7Il0AwVN5oHmee2+lx4DAvVa5iFy2JoRYDOCvAdwDoBdu+agF8AqAJxzHOVaiNE6rZWsA9zzinkfc84h7HnHPI+55xD2PuOcR9zzinkfc8yiYH9zziHsecc8j7nnEPY9Kr9hla4UeHr0F4G8A/NRxHCv3Ox3AHwL4r47jbLqC6S1ouj08IiIiIiIiIiKaaMU+PCoUbW224zg/Vn+Re4j0IyHEX11uAsl1YMdvvNky8ptb9clx8GnrOu0Qju96EUerb8DG2x8AABzd8yqWDe1Ft1ONejGALQPX4OX+q0O/BQvadbzHe/9bdhNOVa3BynQrZrf/O3RNeN88Rn3ToD49D35bHPzmZPFgCz4w4wgWrr0Pu+zlvm8r5Lehwaf7wdk48tvJE12D+U+BC5yj95Q5NwsLFbOA4S5gye149sw839PsPIGny1HfJAbTG/yGTE2/+kS7mGMEZw30DKW92QGFvjHoH84gdWwrHq47irUrGr1zVs8j7Jt6AOHf9it5scte7j+Hk9tDZ4QAI9/SfGZxJz654KQ3C079tk8eo9CT/LAZFmFlrtC3YsGZNOo3SPJbwA+tW4Su1tfzvgFXP6Or9XX0tr4Smf/qNxih5SriequzssJm982sjCF2dicaTz8Pq/8c6uYshHnVDTjYftxrF2Q5P5C4Hv+rtW70dJzcjs43voOOvhTOXv0I/u38At+3L1HlUZ319cvuRWi2D+KBqsNYuGAhnLNvQ0Bgxs2PeTOwwmaUBWcyyW+eZlSY+C/vWY5Hb1ocXedObsdvf/3v3re4tyWOem2ZnPES/LY4rG2S34Zt0lq99lPOUgjmmzqLK9n2Gn7RuxTL198DAN432MvSrVg2tDfv2371evu+yVau18sDS3xlWv2GVFK/yQvOalK/wa46vwuZ3c+ioTaBubd9Km8mYjAd6rUNzkIIa99nVsYw7/CPsH7wNcxY9wfYNefh0Pqp/r/6fjmrR21Plqf2o+bcVm8mo9pGyDp5MHE9cNWNvm8Y9775a2zSWpGonQN0vI3KmI55d3zaN/svrK0NpsPX7ijla/F1d+G9zfN8szNlHY0qn3mzgK+e6evzB+eu97Wz/8/MN9Hc91s4TQ/hzRkfCO2X5Pv7GzahLb7aq1NqeYwv2eTNyMnrn2UfmMvzo3texc36fixc687eDba/Uf1R2HWNOu9iXndnxVEMHPwtttpNWHvL/V67EyyDwdlze070YI19EH8w6xiSC2/xZo/K8+qftwnfP9Uw6syRvGsY0u6GjXWCx8ir20o9DpsZBWDUb9Tl9ZUz4Lw2QrmWYX26vEZqXrSc7vOut6xzhWb6Fpr1pM4YXTK8D++rOYJupwYY6vJml4e181H5eGDHb3zj26h+PapuqfmozjpWZ9fLWVPqLKNgnVbfGzajLTjrRPaFXj1SroV63LGMW9U2bfUt78OqebUFx0ayXZg/fyHMVA/eslZjzcJaX7t27MVvQrQ+j44F92Hn7IfzrsXy1H44x97A0eobULv8Vt/fgjPSL/Sn0Jjc581+Cs6yjmpzX3zheZzc/SK2YTV669f6ZpRF1Us5k0m9pwlbjdC262V3rHv7g75x/cp5Nb46oPaxwfIkV0mos4G914WMT4PpCCuXUWPTQuVanRUl29Cje17FncMvoXcog2dTt2L5+nu8MaKc6Xuqak1oXyNnp0XVnWLG1mpfsyr5dt44PjhuCKuXof2lMv401z1asM9W20Y52yxs7BR1nlF5H7ViJ6y+hdXtQmP86ajQzKMfAegG8D0AJ3O/vgrA43AfLH24JCnE9J15dGDHb3D1Lz9WcNd5dUf5sB3jBQS+p389L4JSWOS2oF3He/A/vv19fEf7ui9a1tfM7+VFW2nRV4VGVwDyI9t85cFmX/QfG8B19kEv7dBjeDT9JWzPujd3YdG3fvT5m0M/K8wX7miM7IjVqCQ3GofxbOwpaFYagA0IDVkRw4eHn/Dy/akPXutvBE5u9+2of+D+f8Ujz2fyoqfIzwpGngDCo3bIXfyLOYYWEimpmCgJyYytvC4DXTgQQgP0uHceMpKCeg1lZLDgZnv/eJeF+3Z+HrDSsDUTj6afxPbsMsQMDT9/yMSKFz4OO5v2RXVRo+TItMREFmklcpGAG0ni5w+ZWPXrT0RGL1CvpRqRJFjmoiLYBa9HzNDwvjXzQiM2bNAP4RnDX9c++IEPeZ+xXjuE7xvR+R+M2pBXrpRzUtMYrAsyz9WIhgB8UVwkWfe/bn0SfxX/Vwg7nRcFMTQdJ7fD/s77IayRKGtqhCU1TWp5vCEi0p5si6Q0DDxmfQU7ssvyougBGDWixxfuaMR33zqWX+dObkfmOw96UbNGPj+/PQ2L3KhGshktAojMt/zIdaNHwVPrQljEQBkRU14vGf3uKw824y+eb7mkqDCaADbobXhG/yuvnDh6DNqn/9O7sQmmY7RIN8H2PZWx8RHtZXzD/Gf3BQL4ivVH+EH27ryIQWF1VeZhQsvC0WJ4NP0k0lk79DoIuHVSrXMfTz+JFn0VPnPLEmx//YWRdi6k7O20loW2teq1DEaoDJavj6efxNtiJaxABIOo8hnM45ih4e9uy+D2tz7rnYMacfSjal7CjWr0I/seX/mLGjMUijiltu1eH2hnYGsmvpr+BJ7Uvu9uCq4b0IQA7KzX/u6yl4f2R2HXNeq81fdEvS6s/r0tVoRGHVL7KyA8Yia8cVF0WxC8YVOjl8m+KBhJNjjWKdR3y8/6iw/463Hw84OR18KiCMnrK6P+fSLzJExd866lOjZRI6oamsBa0eblhRqVFnoMn8g8iW2Z/Ha5UKS4sChMvnGGMg593Poyvvi5kWiYYeMNeeyq87t8Zftx68t45AMfzOvXo+pWMALeaJFW5T41YRFVw94rr1sw0lawDGpGDIce+AEeeT6DZCZ6x+JC49Znt53AT3/+M180RVPXoDlW6NhopF0Yyf9sLuZYTLMh9DjONj2Oee98y3uPbF+ixpQfTz+JPc6KMUSqHYksG9YuAO6DI7X9K6ZehkXAUiOMymiaI31AFrZm4qPJL3nHDka9lH1soUi+kpcurS0vutYue7mvjgT7bDVCbXBsGlW3wtJh6ALrRBue0f8y797sC3deg3t3fM4be8t+MdjXHH/wh1i18d7QuqOmMaq/lnU32BYVipYWVi+D/eXPHzKxYsvHfOPPqD472FZuNNrw4/g38sZOYeP/qOjdYa+VYzLZtqr1Tb2/UkWN8aeaKxFt7ZMA3gXwNQC/zv33NQAtAB67Eoksdz37Xxl113l1R/mwHeM3OPsio6wA/sgfQVvbu7Dee/9ItKywaCuFooIFI9sEo/9kLceXdmGnscHZ770/LPrWWKIiFIp8okYlWZ+LPAcZq8Bx06Lme17EisCO+j37XwmNniI/Kxh5IipqhxdhrIhjhEVKKiZKgv91chdB23ceodGJIiI+yOh6bl5ksF5GEstF6oKVzovqAiAvOp4eiFwkI0nIY0RFLwhG1Moo18FX5gpEAlGvRyZrR0ZsuBH5dU39jI0onP/BqA1RkVCCaQzme1hEw2AElGBUkfvEtsgoiKHpOPY6YGfy6nxYmtTyGBVpT5Y19XgbnH2hUfSKiejxwr6O8Dp37HVf1KxCkWxCIzeOIbKZzDf5/kIRfqIiHMn3B9s0GRFTXi8Z/W5Ly9lLjgpjO8AGZ7+/nNgZX/TF4LFHi3QTrGsO3Mg7wEgZfC+2hUYMCqurMg/dyJBuexJ1HRzk1znZL72wryOvnQuWvai2Nj8dSrsTKF+btNa8B0dAdPkM5nEma6O31d/nq9EMg3kpfwZGyl/UmKFQeVTrndcH5trw92Kb9z7Ymbz2N6o/CruuUeedLeJ1Ydc9KuqQ+m/Yezf4xkXRbYHK1y4ofVGwDQ1rw9RjBOtUWD0Ovi/YJof1ScGofzeJ1sC1zO/T5TVS80KNSivsNNZHtMtheRL8ffg18I9DNwSiYYaON3LHDpbtDc6+0H49LK/DIuCNFmnVQXRE1bD3ys8PG2+qZRBWxrsWhRQat25pOZsXTVHYmcix0UjejeS/vNayXUu0/SeA/PYlaky5SWsdY6TafQXbBQB57V8x9TIsAlawXPj7ABuak/EdOxjhTfaxhfrlvHSFRNcK1pGwuh41Ni2mXEvZXD0OuzeTY8RgvxjM6579r4R+Rtg9W1h/Ld8xlgikYfUy2F/27H8lb/wZ1WcH28qNzv7QsVPY+L9Q3gdfuyHQtqr1Tb2/Uo0WGX26iXx45DhO2nGcv3cc5wHHca7N/feA4zj/n+M4qaj3UfFmrr571F3n1R3lw3aM3ymaI6OsAP7IH0GbGmdhl/f+kWhZYdFWCkUFkz+pEXKCkY/UtDtaDDvFau/9YdG3xhIVoVDkEzUqya5c5Dmv2As3LWq+50WsCOyoP3P13aHRU+RnBSNPREXt8CKMFXGMsEhJxURJEL7XCe+c1fMIHldG+wiL0iCj67l5YWKXjCSWi9QFPZYX1QVAXnQ8C/7yLuA/RlT0gmBELVO5Dr4yVyASiHo9TEOLjNiwHfl1Tf2MHSic/8GoDVGRUIJpDOZ7MKLhNrspLwKKnDwq6/6Lzk2RURBD07HkdkAzIyMsqWlSy2NUpD1Z1tTj7RTNoVH0iono8UDzvPA6t+R2X9SsQpFsQiM3jiGymcw3+f7tBSL8REU4ku8PtmkyIqa8Xttz0e82r5l/yVFhNAHsFKv95UQzfdEXg8ceLdJNsH3X4EbeAUbK4Eu4Kb9+RtRVmYeO0p5si7gOAvl1TvZLDzTPy2vngmUvqq3NT4fS7gTK11a7CbqWHyEuqnwG89g0NNQ1+ft8NZphMC/lz8BI+YsaMxSKOKW27V4fmMvzl3CT9z5oZl77G9UfhV3XqPM2inhdWP2Lijqk/hv23p2+cVF0W6DytQtKX6S2u8G8HK3vlp8VrMfB9wXb5LA+aVsg6t92pylwLfP7dNmXq3mhRqV1tBh2RbTLYXkS/H0wsljYOHRnIBpm6Hgjd+xg2d4pmkP79bC8DouAN1qkVTnzKCyiath75eeHjTfVMgjd9K5Foda70Lh185r5edEUHc2MHBuN5J37iZYjvGst27Xk8vcDyG9fosaUW+2mgukvFFk2rL4DyGv/iqmXYRGwguXC3wdosIXpO3YwwpvsYwv1y3npComuFawjYXU9amxaTLmWjFw9Drs3k2PEYL8YzOuZq+8O/Yywe7aw/lpeBtkWFYqorB47WM6D/eXM1XfnjT+j+uxgW7lDrA4dO4WN/wvlffC1OwNtq1rf1Psr1WiR0aebQsvWDACfBfAIgIW5X58G8AsA/+w4TqYkKcT0XbYGcM8jAe55xD2PuOcR9zzinkfc84h7HnHPI+55xD2PuOeRLBPc84h7HnHPI+55VEpXItraDwH0wt3z6FTu14vg7nlU7zjOR65QWkc1nR8eERERERERERFNhCsRbW294+TtgnUKwFYhxKEiE3EMQD8AC0DWcZwNQoh6AD8GsATAMQAfdhynp5jjERERERERERFRaRV6eNQthPhDAD9zHMcGACGEBuAPAYzlYc97HMe5oPz8BICXHcd5WgjxRO7nL44x3VOTMuXxQEdf6HTCIHWK+m+Hl0ZOe/aOnexz/62ZD9z6J6HTW6PSFIzeoE6Nj5rWH5wGqy55Ci6VkVMX1Wmv0pyaOO6sOIqac1tHn2IZMZ0wOJXal1fyPOVyNWXZmrr8CgAuvvFP7jKMpeuBRO3I5xQ4RnAKqzoNeP7xn7vLRmbPATreAZoeBjZ8KnLqqFxGGLbkRb1uoUvElN9vqDyLJed+431eMcKmvavH7nnpr5HqOYPktR/Hkvv+z1HLUdjxfcskAktE8PazAAQONLwf3z/VkFfeg9NfR80Xrc37OT1/g2/KbdR0VDk1eE5NAojXetds15yHfUsSHlt0DjUdW0c+q/MXuLj7p9hVdQcWrFiX/xlK+Tl99lTo8r7Qc4iYqv+5qtew5PjPQut6cDnOi4PLcejdbbjL2orBa97nq6thyxy89577JQABXP+xvOOrdXyddgi9b30fyYyFAw0PonF2FWrObcWSagvzhw4BTQ/jWevuwtcOAHZ+F2j9ha+OhE0vDtYRmeawac7BfJVTux9bdM53jSLbD60NePtZnO9P47WKe71yJcuqlzeB8vvywBJvCdb8+QuxpCJZcAp03jIUIHqJaIFze3XgaiwZ3odHG05i7e0P+tuusKW3RUzPLpivShp8aZf5M+96YLgrb/lPMUtkgsua5JKKu1bO8ZbwvHqwEzd0b8GK6mHUz12EF4334K32LjxcdxSJ5XcU/Mwwvqn+cqmI2tYDvvoJIG/5hFfOF3QUbheLaBPC2uSDHf2+JRry2MH++P2ZX3ttxIFrPp233EleE1lOfecclubAUi51WUNwmVhwGa66/FDmWV5bHDh+obbao7QZhdqY4Jhm1KXSwd8XaD9k/QxLr7qcaEm6DbJ9UJePhdXRQkvEZZlQ25eopUreuSj1UZa1NQtr0fDut/x9unINvn+qAbWdu31Lk0KX3+38bl7fF1ZG1HFW5DigEPU8rv8Yzm7/GYyDv8T+2jvRcNOHRs4bGHWsJuuW19+LPqB6rr89l2PqjndwrOFe/Kd5f+g1Dva3hc492P4El7HK11Wd3xV+j5Arhwf7YlhZm/aVH/n7Rck2pLIWzHWPhrdhIe186HWNqO+R7wvrSwJ9etR1zRvzFLFELJiPmd3PYm7yGJxs0i3PTRvzy8HhF4H+DuCGT46k5+R24Pd/A1w4DMxeXty9k1LmZ9z2uVGXtvnGldd/LLRP97UV3b8PT0/wPiSk3QrmZXDcfaCjL295aFj7I5eSzZ49B5Vd+3znql77xxadGxkr5vp7VMxCZ9s2bymaLMNRS3vlktU9WjPqKmPuFifzF7nHytVBdVwY2n5EjUGu/5j7c0jZjGq35L3bQrMf9XMX+a7ZWMYT01WhZWtLAPx3AHdj5GFRHYBXATzhOM7RUQ/uzjzaoD48EkIcBHCX4zhnhRDzAfzWcZyVhY4zLZatKSHfbaEjY9nQYftCKAZFheXNC2kpj51NwheHRDOBT/8quhEMhKGX4QiDn/uX2cfwFeOZvFDGx178Jq7+/ZPe4Z7MfhY/w715Yd6f+uC17t+VEItBwbCfUWElo0IohoWPBdzwjM8/nAsBn03BjbQm3HwSGuxciOjtWTfE6B+Kl/F1/dvumwUgIAAjATzwNPDCE6HHQC5PZNhOmYZ14pA/pLoY2Zzw2C1P4b7fLc0Ll/n8L5/Dd7SREMNqmG/1utnf/YAXmtN7jdbm/d6GgAlr5DMf/NtRHyAF89AXuldrg/0vmyHskfDwx299amSwGVKOwo7/P779fe/8NCMG7VP/MTJQ++77ASsNB0DaGQkXL8v7wY5+XxnKC40ZyJen7E/iq+a/AtZICFMhEB6WW0nf97RcOFTlejkAvpx1w5CHlddn7PvxOf0/vOqXgQ5Tc0Y+A8jV0RQc2LAdN5Rx3vWNuraBMK5eWG+ZRqWuB0OQx0UWWSdXHnJkXYUSml2GdoYQuNY+gGfNryMmsu7x9TjwqV96x1fD5wbLuRssWECXwYJzmfildH7ocZ+d3wV++Sfej8dueQoPvN6YF1JVLUMyNPderAwNDRxVNr6WeQxfNUfatGCYa+lG4zB+FPs6hJ0GHDeM7NftT+Fr5veh2W5oWehxYPNfA1v+1Fd+v5p5HF81nxkJHy80CCO/zMmwsWoYdWi6m3G2G3ZYtlGh5xdxbibckOvG+/6723bl6qc817zPjAhJGwwnHEptAzTd3fnSHtkW0YGGpBLWt5iw4ABCQ7nLcOOmsJFxNAg4I2VbABlHlj/b12+GhVcPUvs+Lzy2nQVgu229ZsB2ANsKL3ufunkkLPE6cQg/qXgahpOft748K9AmhLXJmgCuc0byA3oMxqf/A8dad/j64+esW/FB/fde/cs4Oj6W+X+9EO8yvLFaXgqGBM+lV4avl2GRv/Jgfr8l81zX/NEa5SbFso3xtcW5PlYeP2rc4aO0GQ6i25jgmEam/ecP5cYGwb4r2Kc98DTsLV8MbT+c3BgiY9l5fcuBjj5fCHX1WsgyqhkxaJv9ddQbb1jpvPovQ2evzh7IlYHo8Oxe35PrW2U+2bkNlTXYMDBygTqu+wLmt37PuwZq2cjAwCetP8eOrLuXnDcO7fwFnF/+ia/vM4SDlOMvI2oo8LWiDd/TQ8YBhShjBACwobmRxH5oVFcAACAASURBVHKy0PD/s3fvUXZc9Z3ov7vqPPrdaqn1tGzLRn7IRk6IZZtgHIITgT02dubCgpVkhpDhEbJm5oabzEwyLMA2YZhk7r1JWJm8gFwgl5UAE5LYsWNscSHBQCwhxcbYEkZ+yJZkyXq/+nnOqbp//Pau2rVr1+nTre7TrXO+n7VA7u5zqnbt2q9TZ+/9KwWACkpS0ho1FI3VTD/m7e9Ne/6130rG1LHOuD9t3In3hI9m7rEZ99n9bdG1u+2PWy5NuPst4V58wQotn3xGSNr6qeSeq1IVwe2/q8un/N6oIUQpDLNtmGfc4wtpbkLTu/W9KKy8d2z+6u5Mn+4dh3rGPPfedW2uXpp8LsrHyx58VzrW1uKwjCBqZMuB7c5PAauvAT53O2CNbWf87LTz85ky/7Hoffi5930kyTM33W45i4MKfqH2kUyf3n9kV66tUG56gKTP8N5PT17edee/zrTPCEpoROnnz19qfAQfv9vJ79t+B9E//GcoXddsH4veh013/hrufeDppG/+q4o1VgQAKKk1On+mUcKLd34ZY6uuz5QZQMrb/3xjDbf883sz/XuIBkIVW8cU+97wSfzWY/X85wiTN74xSFCWvIrqmbJZ1G7dV/u3uK/8hcxnN3PPttc25j8fddADpFaXrTWLtrYvjuN3xXG8EsBPAvjJOI5X6d/N+ODIHAbAo0qpXUqpD+jfrY7j2MS0OwxgdcEFfEAptVMptfPoUX847QuKHeYxqnlDKLqKwvLmQlqaY7sNoxWaecY0WeEI3fPeFuzwhjJWe2RgYkJ/3hbs8IZ5f/jpQzOGMXTDfhaFlSwKoegLH2vyKgkBnwyS9KusENEmROVb1PbMNQGxvHfP/U2OkQ3baYc+tUNr2tSeB7zhMq93QgzbYb4T+r7lXmP9vqQ/TCWn3XN/0/z35WEmVOa+x4C4nrkWc/+LypHv+Pb1oWGVz32P6cGepNkOF2/S4JahXJly8mUrtkNF2RCmhWG5rfQl98xJvykbQL68blXZMNtlNLLnSOqolB8Tyjh3f4vuLbJ1IQnrbd7nhGG3Q5DLB4RGJn2mrtbc+61/d5PSZdcc36lrdqRSt5yn4aCRSaMv9HiGU0bVnge8IVXdOrIl3l0YGrgoX28Ps22aG+ba2BI/I2FkkV7bVmzPPBhJ24ds+TXnSMLHw1/mzDW6YdTt/76+IHRts2sz4biTtssJ6Z0/Z3HaCvPVSUOSdjt/9LXbfVgrYcHt8u6GrbbLtV32TN77+s1WrsPu+5Lw2KbN1/2FimqFZc8OS/z6YI9+6FjQLrbQJvja5HqUzQ8VybHd/ving+/rvE/zxQ7xbsIb2+WlaUhwnV43LLKv3zJ57o4F7PDoubZYl1Nz/KJxR4bTZhS1Me6YxqQ9GRu41+v2aTpt/vZD6qevb3FDqNv3ItMPOnU0+3O2/pvQ2WkZKA7PnvY92fpoXhsiyvTpPXsfKiwbZdQlNLaW1CV9D+y+z4TxtsuIHQp8S9E4oBnnOpSuN+a8JUTJ/ZhprAY06e8z4730vgHAW4Pv5fLX198WXrvT/rjl0oQo3+KElk8+IyRtfXrP7fKTlDOrL863Yfl23hfSvKi++8YjQMHY3B13+sahnjGPr142649O7v5Gth8wYw/72nO9u07PvseyD46AmT87OWV+K7Zn8sxNt1vOVJTv031tRS49Tp+Ru5+evHTb5yCu5cpcLr/33C/jHjsvrWt9+OlDmb45M1a08touhyd3fyNXZgC5/lN7sv2unQ8utecB/+eIZmOQqFZYNn3t1u3hjty4wtwz7+ejLtQskmUijuPjcRwnOaSU2tri8d8Yx/FPALgdwL9XSv2Uc9wY3hoNxHH86TiOt8RxvGXlSn847QuKHeYxKHtDKLqKwvLmQlqaY7sfd63QzDOmyQpH6J73a9GN3lDG8SaJMGUmr30tutEb5v32166dMYyhG/azKKxkUQhFX/hYk1dJCHg3UKwKsiHnQyVhzq1rAiS0PTbd3eQY2bCd5hVuSHVbvOkub7jMXU6IYTvMd0Lft9xrrN+bbyCT0266u2n++/IwE7p3wy2AKmWuxdz/onLkO759fQit8rnhFvlZp9kOF2/S4JahXJly8mUbbkIcZEOYbi8Ky22lL7lnTvpN2QDy5XVbnA2zXUOYPUdSRyV3GzqUce7+Ft1bZOtCEtbbvM8Jw26HIG+kc4BydbXs3m/9ux2xLrvm+E5ds8PnuuU8DQeNTBp9occznDIab7rLG1LVrSM71TWFoYGL8vXhRrZNc8NcGzvVtRJGFum1bcNNkt923my6O1d+v6bPkYSPR+Atc+Ya3TDq9n/vKghd2+zaTDjupO1yrjV/zuK0Feark4Yk7Xb+6Gu3Q563EhbcLu9u2GoTtryu/2fKnsl7u3wUndPH7vuS8NimVOj+Ig7KhWXPDkv8eLRJ8r+oXWyhTfC1yaUgmx9xIMd2++N/jH5M532aL3aIdxPe+GtWeWkaElyn1w2L7Ou3TNvtjgXMzKOy1T4l7aQup+b4jxSMOzKcNqOojXHHNNt12pOxgXsOt0/TafO3H1I/c9ez4ZZcCHX7XmT6QaeOZn/O1n8TOnt7UgZUUn7c8Oxp35Otj+a1DQSZPn3yijsy98BuS2ooSWhsLalL+h7YfV+EfBmxQ4HvLBoHNONcR6xrhTlvHUFyP2YaqwFN+vvMeC+9bwDwSHRDLn/d/rbptTvtj1suTYjynU5o+eQzQtLWp/fcLj9JObP64nwblm/nfSHNi+p7UVh579jcHXf6xqGeMY+vXjbrj0auuTXbD5ixh33tua8DdXo23AIEzg4uM312csr8NtyUyTM33W45i4N8n+5rK3LpcfqM3P305KXbPkeqnCtzufzedLeMe+y8tK719teuzfTNmbGildd2ORy55tZcmQHk+pdtyva7dj644k13+T9HNBuDBOXCsulrt77WuDE3rjD3zPv5qAsVLltr+ialXo7jeFZx6ZRS9wI4B+D96MZlawD3POKeR9zziHsecc8j7nmUK3Pc84h7HnHPI+55xD2PZsA9j7jnEfc84p5H3PNowbS6bK3ZnkcPFL0HwK1xHPfPkIB+AEEcx2f1f28D8HEAPwPguLVh9vI4jv9Ls2N1zMMjIiIiIiIiIqIlotWHR82ird0C4N9AZgtljg2gla8JVgP4WyULCksA/jKO468ppb4H4CtKqfcCeAnAO1s4VufYvwNPPvYg7j91Ga64/mfSb8dmejrve9oMJE+G7Se79nu830TojfeafSOaeQJuvjF/dTdeefzLeLhxAy6+aguurT2FZ89UsDl4Ub61mTgpGwy+7t1yEPt6PN+iud/gZL7xNddip/PV3TN/g+GkP+hbgWj8uP8b1aKZYGuG5FsI99uJJvfk4KEDePZMBa+b2oGR8ZcLv70wT90vGXsabxt+HmfXvD79BlI/Zbe/5THfPjWbuZCUnTXXAVOngXN6jzDzLRrgfxpvzappaWbSzs8DT/xFbqZL7tu7iZM4N3YOO0bulG8pfN9GOd+EmjK9b8/3oPY8gHjTXem3RjN9a18wAy35ht2ZDeLOpnJnZORmfgV7czOuzOt+5sRfYqRxQt4/dTq9nsNP5v/byW/zTVlPKcD+nivTbxGt+5X5duro/cCe+3Go70ocO3Y0+UbEfIudfKtlznnuKDCwKn/dTb6dyZzPmrWV+TbQVzeafeNjfwP5+B/LIvKbfjX3XndmStI+mG+d1lwnMwF93yabPHO+jfO2KZbcTDZfmbLrlz7/yacexNTJV/DSJW/HztG7ccXUblyz+/ewauolTC7biJ1DW9P7+epujD/2h5ioNXD2x9+P41f9QuZbSG+59OWplS5Tdi4qn8XyvgpOjE/jYG1Q2nd1QNLbN4pzh57FqekAQ71lDJUacs9WX5Ote3ZZtfPVyctDX/1N9Ox9CJNX3IG1b//dltqGXH39/l/ixJGDODk2jZH+Cpb3VeRv9jf+Ll/faH7XNwqMH/O3Yfp8R85O4+WxEq6efBIDoxcDG7em12fVk6St9JVdS25mkvvtpqkfuk04s/8Z1M4eRTB6BUauuyN7bt95nNkVM37jPMOMulye2OnT5fno3u04c+wVDI5ehFVX3Fg4Q8F7T1Zfg6Pf/lz2/YefBI7+KB0POGMAXHxj7pt7AJmZKV/9lwO44dgD2Dr1iP++2fljyp/Z8NWcU5/jielLMDr1MjZUz2Dg9f+u5fGD3W5k+rnTPwDGjwOb3wmMXCbnLvUAK6/CvspGnH1xl8w2fqM+zwwzPzL31r42INN/ZWYrvbo7c95cW+vmh13v7XGBUw9M+k3/sn1iPV46sB/LNt2Kt9x2Vz7N7vU4ddPM2MnNcjTpN22Gmx4oHJqqAPseQ39fP4Yufm0ya+rQq0fS+mzam4IxRTJu1O33oSNHMH3gSRljWDOt3PGJ6fvMTK5ms+0uWrveP6Plq+8HntuGY2vfhN8b/E/Fs+Gte74ruiI7q8IqA94ZFO6smY1bm7ctM42Z7LGRp6+3Z1kNHn4cD5x+DdZMvIBb43/G8E+8w/u6qye/Xzz7Z/U1M6+a8M3Kc9Lm9okYWCXloOi+PPsw0L9Szu/0P5m0P///pO3l8b3ZfG7yWezQV38T/c/+DTCyAUN3/rdcOSycFWfKsemX7D7a0yfteukkTn/7M7jx5IOZdnLfRA8OHTqYmf3ttnu+vuzI2Wl8tXGL957m+O6LSTvg79c9n7uuUAcxevjbsidRdQhYsxn7lr8BZ1/chWWNkzgVjiRjG3sstWHTDfnz2XV/hhmdbh2It92DzSceQXXl5cDP3peta/q/90304NkXXsJ4OIw3DhxIZpK1PHuyQzSbefQwgP8Rx/E3PX/7VhzHP+V524LomJlH+3eg/rm3ZaI/vePn3o5fCL/RPCKBFZUlE/UlipLoV2Y3e/uhix2VwZhGCYdu/jg27PjtwuhYaQQIK0pQECCO6pmd6QNE6bHtDQddN38I2P5nmcghbmSSfTd+FKu/c282usSaoXT3fKWym9o1iR7mpt9EIclEkbGjmVjR7xoIUFYxAisyVVGEiGykHGsDMZMXTsQGE53itdGzuchBJrIAdFSif1P7MMJA6YgbxdGa3AhVOXaUAU8UpFby03sefW2+SBIAknLymehteF9lWzYCB5CJmiJ5Fkj0FOsex2EZQRw1j1TklOFc9KryJxBEaQSsX6h9JI0Y4kTG+OFbv4h7H3gmEzXok9G7cU/4eYRxmq4dr/0Yfv+pEv4iuC8b0W4WDm3+IJY/9dlMdJAICiosI9Bl3Y6y84ulb+Dj4WczeSv5JpF7AHjT4l53JrqQUx4iKwLIjaXn8MXyJ5O2KomA8vC78vVw9TXFUS5MlDY36orzXhPRxURpuj74kbQParogbxWSCDpudB0dgcTbplgPkP5y+8uZ6H2f/ukG3rLzA9ky5Ul37NyDP6nfifeX/gF21KLkfgYhVFzPvP7PGm/DL4cPJ/UlVy7NBws7T6GSSCH7bvwo1n7nY5lIIOb4dQSyibInnUnZUKEM0prlq52/YRXHLnkrVjz/d8mrDl/3wfQBUkHbkKuvn78DcWPanyYAdkS/hHvsOz8l//raPLsNm/F8VqbZ6QbyZdfbN+rIZAEQmLYhKMsGplbe+u+Bc277PE5EqeRvgD/KTpMoYLkIZft35KMKFaXRE5Up4dyTSIVQUSP7fjisMQDCCnDTryD+zh8k5/1I4334X/hZ1BsSjSsC8I746xJRMnNMT969/lflg6Rr8zsR/+Ar+c3rFKBaGj+k7cbYqusLI3Ha3LyMgxKCIMy1Tb4odmkkV80qjzGcCG1BkJY7Oy+K2logW+/NuKBhbyjsLwuIpS2bRhmP/eSfywOkogirTtkwx/tw/b14Mbg0jezojudUKO24lR5vWoD8WCsoA//q/0qiXaavD9KxT8H1mehymesAkohVdmRHN4JaGsGqlo8KdeengJe+A/zgK8k5/6ZxM36j/u8LIgDrawsquKf2bnw4+AvZfDssIYDVn7pRo277HeAffiO/4bPhti0zjJns6Lq5tuLOT2HXyrszkeXKqKeRfc398LyuR9Wg7H7FFpT1eeLs70wf4ol86F5zbjxVNCaz7ktRXtnR8/6q/NsoK3czaEvBZ7GD696Ky155KHlZrJTcx/wBYPezuO138uXYk0b7M8XfffYT+HhgR4gGYiggjhFB1xWTH1a75+vLzFiljiAdzxS1l7774kt7QRlMP3elUXkzHx+c7DJjm2z7Gspnuly2WvlZEMXSrQO7Pvsf8f7g79NrNm2S+ewEpccTVr6a1/rGLheo+Yi2drvvwZH+W9seHHWUfY/loj89/PShmSMSeHfYr0FZ0a/Mbvbue7zRF/Y80DQ6Vn7X/yhpqO2d6TPHbnbdmfP5I5OoPQ/ko0vYu+e7nWOT6GFu+k1kkUwUGTuaiRX9TqIGOI1RkwgRaaQc5PPCidhgIg34IgfZeW0iW6QRN6z74N6vmaKoZaIM5KMgtXwc9+/62ryRJJCWk61qR76seaK/yIeubBkrjPoDeKNaAJ7oVVE2AlYmYohzjJO7v5GLGrQV2xEgG2Wu97mHmkZla0XP3ocy0RwAKafu/TIRObZie3IdJo/s6FJFaXGvOxtVI1se7Agg18fPZNqqJAKKrx42i3JRFHXFea+J6GKiNCXtQ2EOml0cPdF1mrUpFjfi26k9nshLBfXCvm+3hd/LRC3K3E+rTJvfvyXYkblfuXIJ5PPUSpfa80A+Eoj+79B5gGWnKcnLwgdHVr46EYr6X/5mcjxAR2UyCtqGDF3n7bTmyquvnvv6xqK2yv69cz6T9vR8noF8VFB2LblobPYHeNNeWdzr9Z47Fy3Hk4aiKDtNo4B5oqUVfMjMpXEWEc5UnI9ylH+PM+ZwIsO9RW1Po9Y1YtQbcRpRstl9s46V89y2zDky6Wtp/JC2GzNF4kzywvxr8iOuN4+OBOTvrWGVR9NOJBGG3AdHJi+atFmZshnVvOf09S8AkkiAp/Zko37l+me3bOh/bwt2ZCM7uuXQHMdKT3FarN+ba7GiXabHjHLnsY8JpNHl8uOT6cz4zBdBLR0reNqSPfen5U//6s06+qE/ArBOV1TDVmxP77PbJrlRo/bcX/zgCPBG4mo2ZsqMjTx9vRtZLhPZVxW/Trn9ii2q5X9v9yFuuj3X7I6nCscN1n0pyis77fkoYo6Cz2Kjh7+V5Imkp2hv4Ww/6y3HnjQaj79wPB0bWtdtzpfUFfv6NV9fZvorM45o2l767osv7UVlMPnc5aQRnrrvpClp04vGMk7/6I9ima0DdsRkBaSvscZguXw1ry3qKztYS9HWaJ5suCUX/en2166dOSKBd4f9MmIr+pXZzd59jzf6wqa7CiPsAPDs+m++3c/uTJ85drPrzpzPH5kk3nRXPrqEvXu+Gw2hSfQwN/11HVkkE0XGjmZiRb+TqAHhzOfKRcpBPi+ciA0m0oAvcpCd1yayRRpxw7oP7v2aKYpaJspAPgpSy8dx/66vzRtJAmk52RbfmC9rnugv8i1htowVRv0BsmXDE3UviSQVZCNgZSKGOMcYuebWXNSgbbgJEbJR5iY23tE0KlsrJq+4IxeJrxGr3P0yETm24abkOkwe2dGlitLiXnc2qka2PNgRQHapazNtVRIBxVcPm0W5KIq64rzXRHQxkbGSqHjex2HWv7ot9EUg8bYpFjfi27JNnshLuXRn21MA+FrjhkzUosz9tMq0+f2j0Y2Z+5Url0A+T610xZvuykcC0f/dcLp0O01J2VBO+zZj/lYwdsmbk+MBOiqTUdA2ZOg6b6c1V1599dzXNxa1VfbvnfOZtKfn83wkCArKriUXjU2Vsu938ta9Xu+5c9FyPGkoirLTNAqYJ1qaW3+d8pyk0ROVKeFGRVT5KEf59zhjDicy3KPxTWnUulChFKo0omSz+2YdK2fj1sw5MulrafyQthszReJM8sL8a/JDlZpHRwLy99awyqNpJ5IIQ8qz40SzthbIls2g7D2nr38BZAxVQ0naSDvNbjlzy4b+95HoxmxkR7ccmuNY6SlKS26sFZhoY54xhXMe+5hAGl0uPz6pwI3sWBxh0NOWbLo7LX/6V9/U0Q/9EYB1uoIytuGm9D67bZIbNWrT3Z46bWkWQdAzZsqMjTx9vRtZLhPZNy5+XZxcZ0G76/7e7kPcdHuu2R1PFY7JrPtSlFd22vNRxBwFn8WOrfmpJE8kPa2MYyr+cuxJo/H6y1ekY0Prus353Ii3dv309WWmvzLjiKbtpe+++NJeVAaTz11OGuGp+06akja9aCzj9I/+KJbZOmBHTI6B9DXWGMyU47rbBhX1lR1sTtHW2q1jlq0B3POIex5xzyOTd9zziHseWe/lnkfc84h7HiHbNnLPI+55xD2PuOcR9zzinkcFfRL3POKeR/PpvKOtLSUd9fCIiIiIiIiIiGgJOO89j5RSn1ZK/Wul1OD8Jo2IiIiIiIiIiC4UTRbL4s8B3A7g15VS0wAeBfC1OI6/35aUdbh9j/4RBp78DIais6j09APD64FePV3UTPX74UPAngdwbNl1ODQR4tJoP4ZKDRxafgOOHTuaTovW0+UyUxBPPQY89RWgf4VMAzy1X5aLDK+Xc9QngeWvSaf8m6mj7hRkMz1033dlCvTwetnM7qItwKqrvdOCM8fYdo9saHnRFqDaj2RK8XOPyvTPUqVwWrWZ0rh27UXYML0XOLAznSq+9b7mS0ycKZqZKcb2VGA93XHvWC8eObEab576R1yEI6hf8gaMVmrAoR+k+bbyKv+SJH2MI/Ewno425JcfTZ4Bnv4bYOIEUOkHVmxMp5mb17jLfdw8qk+nS+HstJulgstfA5x4Xqaw945kp2/2rgB+8GVZRrDySpmO6Ztiue2epMwcGb4OT0cbZEni5EtSfhrTQO8y4MrbstNurWUIyTR0e0qvM834WPVi1I7ulanoI6vS8w+sSpd2+coS0im61499S6bTAun9BrLT+H3LcNw87R9N88tMPTVTb4/+KL3uxrRswrfsYmDZpclysMwygqJ7qctyMqX63HMyDXpgDY6s+kl8tXELDvS/Njud3Xlv+fE/xGp1UpZcmHpiLwvx1V93+Yu97NPklb1kwEwDN+2CuwzSXpZ68sWkXh+sXIpnz1Sk3K9dj5NPPYjo2HOZZTpmyv8dtUcw+qMv49V4BOFVb0mXYprzH/oBUOlLy5iZym7K9cRJYOyYtEH1SWkLzrwC7HkQ6BmU6zTLB937ee4ojsTD+Fbvz8oyvKP3p3mwYqN/yry7FMKUH3tZqm+aebPlKXbZUgpYszm71KA6lKbFmRqfmaJt7oeZTm/u3Ynn0+Uqy18DHPo+oBT2XfFu7Bxfmy61dNt/nf8TqGBf5QpcHL+SLguxy4e9RNMuV2uuS9NhlkTZy1PstsldjuW2Z+YcbptvtQO5panO8rPMMoJTj2HqiS/haGkd6q99h5Q7e/mEvSShfzS/DMik07O8wiwzSZbt2ksN3DJht0VW35G0f6ZP+Po9wOFngHIPsP6GbJl0+7gZlrSPjq6UZQvWsh3sewxDpQj9fX2Z9sOupxte+iowuBY/fM0v4+mDZ3DH8/eid/wQsHozMLQmuxRE38Ox5x9HNHYcjdGroRBjV/9PYd2VP4GrX33Qv7TATvOOzyRLfP5x6O50Ga5dj79+T9qPbX4XMHEc2w8DLx3Yj0vXX4yb1iC/PMHO64mT2b6s3A8c+5EsX3nNTxeXSzvNR34I7Ps2sHwDsP5G6a/6RqWe1SezY4XnHsXk/icxVY8Qrd6MkYuvwblnv4l908M4XrkY1+NpDJQiYOK0t381bWl5cGXaV+q+55Uf/Qve8Mrn0VM7LXtyVIfScaSvbXCX4PuWR5rfmXo3erVsy2LaCLctNOOjNZuBFRtx+sVd2Btcjkv7a0ld2FfZiMazj+Kiyb3o6RuU65s6Lffx2HNAbQzoWw5c+79ll37bddO3JLw6JEuPlEqPaS3tspdcm+X/yTLE/Ttw9Nufw9ShPVhWiTBw1Zu9fd2+S9+eLrmz+2ZrSfjuJ7fjDUe/jOHeMnpv+Y/eJT7JEqZSD8bDQVn+bi/LB5pvLWD6YjdvzBYRpn0FpH8cvUL6tKLl3rof2x9chCcnRnF99QD6KiXEJ17MLks2Y7qJk9LuDa1Nxj+5Ze56WX1m7GZfl/48k3wWOPqjNK3lPuDgTtm/7Oo7su2suS67v5weBw49AWzcih9e8i6UH/9DrB97GtVQAZe/OT2+28fa4+Ch9cC+b+NM33o8uvZXk+WJSfux7R7giS/KeOSNv5GOeZZtkDphX6dvSw27Lp05hLHqSpxs9Eh5q5SAky9Imt7+mebLVt1+15TRlx8Hxk8Ag2uAd34hey90WTXLiZMl4lbfdOTsNL7V+7Ny3WZpnj2W1Gkxy657qj3oj8ayn4d8faQZxzWmgVI12ybZn0PN+3/4kHzuWL5B2vTnHgX27wQaU5KWze/KL9uzPqtg/Q3pOMTeFsHUC9+Yzq13bn9sj3VbXebfbJl3B2pp2ZpSagWAt0AeJm0G8ATkQZIn3uH867Rla/se/SNc+p0Pp7/wRgcIAESFoVONOKwg+OWH8MPDZ5KwizGQhGtumQkzbIddLQjtm0lMEDp/V9LY/9ID0ij4QugWsULJRqqEWgQJYY84n0eb3wns+ftsyEU3RK0OL7nrpZP4Pz/7F0kIdjf8aS6PrUtpNQ/tY2RCrjemCw6ObNhVN8R5ERXq98zwuvQN+fMHJeCXH842dNvuSe6Vr8wV5oMJiXnTr+TvtR0uU4dWndWx7bKk9yPyhSVtzly/Jx9cYRW4/X80D5WqxXBCJ4clud+eexmpEupRnA1nizSfp1HCz09/BE+HV0sI36/9fHL+SJXQiKJs2FRfqHW3/gLZkN/NwrObTQebRuEqzodYUgPhYgAAIABJREFUqqeEL3WzWQFAgMm4hM833oIPhg865w6gwhIQNeZ0/qac+2nn9xei2/H+8O/95ceECQayeeh7nS9ENIDCkNzNjlfEbPzaSvtQwFx7A8rfnjbpb1Sz8tGsXHn7B80OQd9qntz8IWDrfZnQ0jeWnsNflj+BILLeH5QRxXESOrkBpSPf2UlTKI6A46TRDjFcn4R9oCgo457aL+EjweebhnDXJ8WMbVFQlrrgRt4yZdLt427+ELD9z9KQ357Q0ebUdpvj/h5BGXHcwGRk1VN9IfU4gEKUC6ecScPjf6zDGOcvyYRYzueLTpEK9Psifzk19fihX8+VtQgKygqdHKsAQckK0eyEQp/RXMplEzON38zvfGWm6F7FkHuS6RNaTZAJue22Ra30fU3resG1FlzDggrKiKAQNeqooYRPNN6Nj4R/gTLk51dvvheXPH4vlH2dnnSZ6/lw/b3422Ar/u6ubN+cuw/mOE5Y80Nf/U2seepPc8mMwzKCOErCgM9qHDhnaQEsHPcCOHzdB7H20k3ZtsYRBRX8Qu0j2FHfiF8sfQMfDz9r5aHSmyertP1vtX8P9HighVAkMWQD9WTb5FmWL7u9aSBEJYikvdn0NuAHrXy89fRxd35KHjhY9avpuPfyW4GX/znfVpkxXQv5FkPh5xv3YUd9IyqlAH93VxlXPvzzhWXcpKeGEApxtn22+qAZx+tuH9n086JPgFm3z9fcnb83M7RNmTHdF+6S+2LqXaPWPA0zjXFMH+aO9y5Q571szRbH8fE4jv8qjuN3x3H8OgB/BOCK801kt1JWmNrisJI6LKF5j/Pa5Gcd0tIOu+iGa26JLyx6k9C+Ivb8PbZCxhaE0C08XFpBVVx3wtQ7nts2c1ht/bMJs1sU/lQB3nC+s+mE7GNkQq436wCdsOwtDRh0iMvWec4f1T0hsdN7lcuPpoc3ITE999oOl6nLSVF5Lky7G07TCkvamtj5t4lWQqVqCk7o5Cb3UsV1bxhZk88lNPD6YI8Vwjf7XjsMvFyKpyNz668b8rtZxxqf34ObICn3Os3KrUcS5vitwfcyfzd/QyMf4nxeOPfTzm8TltXLhAl289D3uqLyUhiSew4fCnQ44PP5QGGKToi4oN6l/U2u7jcrH03vm69/0IrKaTO6jbFDS18fP5PPlygbOjnQdT9b7lpsD9wQw877TGjtmUK4ixbaoqhgIGvKZK6Pe8ATCj57/UC2zQE87W9Ug4qdeqr/FyJCABRf354H5Jxw8lj/W0LRF1kmZE0Ed7yTKaemHnvKmrm3pu0J4IRonu1YaC7lsgk7T7xjjBnKjP1e+x5mwlbPJkGm/LjX10rf10Ib7V7X7Pr7eRLVoKIaSkrK81vU9qSfLqMu4++olrsvuWvR/94W7PD3zfCHD3fraM/ehzKvSfIo6bPnMA6cs7Ttcdt6+9+evQ/5w7NbVFTD9fEziGIk47LMeezrmk3/HtXR0nhNCzH38mXyIEQsZcP0289ta/EInj5uz/25+uVrBxIvf9ffVkWzGRfFyb1IyqpTxu3T2mOh0G2frT7ITXcuf2f1edFnDu2z797MlE+ZMd10tt7NlIaZxjiAf7zX4Vp6eOSK43hXHMf/bb4T0y1iK0xtcVhJHZbQvMd5bfKzDmlph110wzW3xBcW3Rva16Y8f7dC0RaF0C08XPL9AWJVcsLUOzZunTmstv7ZhNktCn9qZk8AyIaBnEXS7WNkQq43686csOyZkKxFdIjL1nnOH5TSe2xY9yqXH82Om4TE9NxrO1ymLidF5dkvG9bYDUvaGvdjUxOthErVYjihk5vcy1iVvGFkTT7XEeLxaJMVwjf7XjsMvFxKWk8Sbv11Q343C8+uwuZ/n0GUlHud5titRxLy+pHohszfzd8Q5kOczwvnftr5bcKyepkwwW4e+l5XVF4KQ3LPpu7ax2qxfShgik4DqqDepf1Nru43Kx9N71s+VHaiqJw2o9sYO7T0LnVtPl+CbOhkMzTOlrsW2wM3xLDzPhNae6YQ7qKFtigowzssM2Uy18fd5QkFn71+IP/YKtf+BmXEKszWU/2/hjySKb6+TXfJOeHksf63njzicVl9iDPeyZRTU489Zc3cWxM6OYLV53hCoc9oLuWyCTtPvGOMGfpX+732PcyErZ5Ngkz5ca+vlb6vhTbava7Z9ffzJCgjDsqox9LvPBrflPTTNZRk/B2Uc/cldy3630eiG/19M/zhw906OnnFHZnXJHmU9NlzGAfOWr7tcdt6+9/JK+7wh2e3xEEZu9S1CBWScVkqyF7XbPr3oISWxmtaA3MvXyYPGlBSNswYauPWVhOb7+M23Z2rX752IHHJG/xtVTCbcZFK7kVSVp0ybp/WHgs13PbZ6oPcdOfyd1afF33m0D777s1M+ZQZ01Wy9W6mNDQ9tvM5yP1c1cEYbW2RcM8j7nnEPY+45xH3POKeR9zziHseJe0f9zzinkfc84h7HnHPI+55xD2PuOfRImh12RofHhERERERERERdaFWHx4VzjFTSi0H8EEAkwA+G8fxmXlMX1cyM4PWrr0IGw4+CJzcB1z6RvnmxX7qa55WH39B/mZUBoCr/pX8zp0RM3Uu/22Y/Y2D+1R17Fh29sXKq+RbDjNDpm+5PG0Hst9qmCfHQShPZgfWAmcPyRNgADhzKJ3dYr5xNt+gH34SePYRYOwI0L8KuOgn0tkm+x6T944flyf9w+uz38bd9Ktp3tjfIFb65DrHj8mcylP70m82zPWeekmO3TMkT8Crw5I/9jcKT3xRrkmFwOQp+Vb+hvfJE+UXvw0c+B5QHQRqE5KmlVcD0+eAydPprJS+5XL8DbcAB3Zkv+F4/htyPvvbNfPNWX0SU9NTwNRZ1AfWob92Ul67fKNcj/mmo280O7vIfpLfMwScPQIgkm9eTBmZPqdnITjfTB7ZDZw+KLMTKv3yDUEQAmPHgSAABlbLPNVTL8m02nf/bfotlCkL5sk8IN+6nD4IHH9OzrXqWnmvyWNTjuyZLl+/J60DZlaa+Qbhsf87nalV6ZdzmdeZb6yimnw7Ze6rmUlh5xMgr+0fTf976qzUNwAY2SDpOfxkOpPHnvVw/AXJ++qw5OPQWvmmY82Ppd9i9QwBjXpaFk88j7HxcagzB1GNJxH2j0rZMd8G6nvu/Zb4+f9Pjtm7TOehU54nTsq3tYiAH/9FYOQyyVdTd8z9NHXG/Rbs3NG0PgytlTJh8seeWWfywq4rF79evu2qTwDDlwCTJ2U68JlXJB83/kz2W/ixo1IvVl+Tne1mf2u07NL8tzzmmyD3m23fDJgDO6QMVQalXdm4Fbj0ZsmTxrS0IfZMJnu2iT1b7+whKb+VPnm/OddDvy55YdokM5vHnpllfwtlz7RxZzSZb4L7RoEX/knajtEr0nbG/iZs8gzwvT+Xejy0Hqf7L8Xe4HK8JngFI+MvpzM2N9yCk/ufwdTJVxBvuAVrzzwlM1Z6h6X9OPyU1Ov1N8i3tQe+J1Os65PptW7cCuz8rKQ7CIFrfk5+b89Se/yP0zJr9wPut4r27Inje9NvIHuXZdvpoz+UWTV2vbFnQf3trwCnD8gsl3I1rWfjJ6X+KsgU+XKv5H9jWsr9+hvkekzZqfQBg+uAg7uA+gTqUJhGD0rlMiqDo0l9TcqK2WC0MS1tPWI5R1gFepfhbNyDnuO7oRChFJak/DemgLgBlPqk7atNyP254q1pO1zpS+uj/uYzNwPILo/uLFffLNXv/EE6C67cB+z7NqanJ4HaOOKeZaj2Daft3rHnJJ1m5qQ7Y9WdgWh/c2z6+s3vlL+buguks1OOPyftwuVvBs4cSGdNVfqlLNtjAnuW2rHn5BhTZ+Rer7sOudkV9iw2kwfm294jP0xnLIxclpZTezafPSPNnlEQN6T96xmSulQdlnIS1+W/FXDo0rvwnfCm7KwyM14xZcaMh+yZGfa4I6xIG4sGsObH0/IcVqQcX/pG4Oge4PjzQM8y6SvsMZnpLxo1GZuY10Q14Oyrcoy1PybjvmcflnbFfONvzYDCvu9K3QkCuS/VobTPL/ekM6LtPsCd5Wlmhbhl0JSzV3dLvlx9R7YNsWY2JuMVe8a5mWnXOwz0rQSO7JH7E8fS95l26gdfTl9nxlJmBpMZ+6y6OjuDw54x2j8qZW38uOS7mT1vrmX/TjnO6s1y7MZ0doxsz7iyNyO2Z1i4/avdt9kz52pTwKs/kPHhNXel97lnSM5p2vgYMktl7euASm/anqy5Lp3tZvrHb/534MV/kvta6gWmzspm0KqEqH8len7sHdnZoWYmiz1b8oV/SmZGY/U16fWsvFLK2NN/I3m47GL/qgYzLjd9rqmjPSPSz5oZJvb4yYybj+9NZ530LZf2dfSKtE237+HJl6XcDqzKzrK1x1YDq3DsxAlUDnwX5Woveqs96b00n5kAqTNRTdrvgdVpv2TPkjP3cct78isq7Fl0lX5Jk9ufBGE6K8ptk8y4yHwOWbExnaU7dS5t4wB5zfR4+pnDHlu6n6N6R6SNCEvAuuvlWuwZzb0rgO9+SvrakcuA6kD2/auukbw+/oLUx4FVMp7XgYhefOKbeMuhP8bQxEH5LGjG/KZuup/B7PbRXP+Oz8jM8XJVzmf6K12fMzPbp1+SvLhoi/QzR3+Ur2cnXwR2fk76IxUAPcPpuODwk8lMsCQt5rOQCqXOmXJdn5S6Z89MtWeF26tA7FlRXaJw5pFS6psA/hlAFcBtAN4Wx/ELbUxbohNmHv3we1/X0dBqBdFutJl2jb9gzHIX/VZ0TN5kxcn/aUVlYzGNXgUce3Z+jqVCvfDbUz464B4vqfvpifyxKEyEv5kiMBZFmwLSteftKB8qlMHZbHZRUAGS6ImzPl+Q7vXgbMzcrDwtqbK2xJ1vXs1LXuvoaHF9YnbHciNzeqITnnf6Frx+nc+YQKXRm2aKjlOkKFJPAZOfxREKu5CJ+lhQBpu8EcX3TKFNuyH5zx2WFybap+9cbb7Obu8fFuT6L78VeOEb53sUYaKVzTYy9byYe3nc94ZP4rceq+P/De6VaINzztfmaTB7Limk0XyXTPl1I1/bkecuYOc98wjAijiOP6wP9iiAf1JKnQLwGwDeF8fxO+cnqd3h5O5vYKOOHmYqg9cF/sE5Nc8PjoAOypsslfwfmpeNxXR87/wda6bIXxc4+34uuj33yzdM8xA56LyYCH8zRWBsFmmmnWVjLueKI/3AaS7ni6x7lB9MKaXbBk+5Uku97VgizrdemmFu65EePXR0tFkfK6qlKWj4H2qed7uz4PXrfMYEcdP60ZJZRVFK77eJ/EZIH4wXlMEmb2zyt8XcOsOUq3akof3X6bYJS3+Tkvk1L2226+Xvzt+x5hqZel7MvTSoPQ/g+vjSJBLwQqYh0GOfUC2x8utGETT38gJ/eNSqZtuMn1VKbQCAOI4fAXAJZAbStwH82oKnrMOk0dCkphVWgnmPOrRYo545BfJrbiEiMi0BdkQD8/OSs+KK+TuWClFYPjrgHs8YoaKdPJE/FoWJ8DdTBMaiaFMAzjcq3KzaQhXO7vWANXtoDkxEtYIIjc2iMy35tmOJON96aV5/XvVaR0cz0d5aPpYbzdFTD8673Tnv+jWT8xkT2PVjjseZVRSlNP+KIxR2oaDUtAw2eWOTvy3mkzm1cNE+fedqM7dN6Dbz0ma7LnnDfBxFzDUy9byYe3mMN92FXeraNBLwAqbBjea7ZLiRr7ss2lqzke6/A1AxP8Syvu2g/nF8IRPVia6+4WfxQ/wV9zzinke5PY8U9zzqqD2P1FLc8+g9Dy2NPY/MtzLc86jlPY9Ukz2PFPc8QrLUb4Y9j9R57nmk5mvPo6vvgFqAPY8U9zxqbc+joXUt7XmkuOcR9zy6wPc8UlNn0VDdu+eRulD2PDLjogtkz6MNW96D/3zVSdz/xMULuueRuvzNeIV7Hi1JjLZGRERERERERNSFWt3zaAHWFhERERERERERUaeY4wYNNCdffT+w+36Z/mem3DfqwPQYgDiNZGGi/Jifw7Ke/n1afl+qAssvT6efH3tOphYGgUy9nh6TKc5RXaZIqhAYPyFTS5WSyBJhWaYpnj4ANCZlyv3wRTJN88AOmToa1fTU6kCnpyzHjGoytbJ/tbwfkQ5lPCLXqZdx1WvTUI1xxOVBlC6+Adi/Xc4VVPXxArkOIJ2Cuv4GmQ746m7gm5+Ua64OyNTNaBrJFnhhVaYdTo2l117qldcHJUmLQrqsrtyTLnkw+WuiIw2ulffFdUCVZKlXWNXLKqatKC/TQH0qv6lvn17+8PLj8nMQZN8DleabUnKPSpV0uvqru+V95T6dfzWZWl/tB448K9cdlICgkqand0RPKZ8GoKehN6Zlui8CoDqI+tQ5ADHiyjDKa6+RfDh7WM4zdU5eqwK5VjfNUSTXqqx0mWUcCukSuFMH5PdD6+T35vgNPdXdTNct9aJen0YDIaL+legdGk2XRMUNSQMgy1sG16VLpZZvTJcSlHolzSuulCVR9tTpQ08BtXHJl/qUnHtwrfzOTKM1y2iUkjoyfhyZaCthWcpUUM4uc4tq6XK+Rl2mDAdKlm4pyJTX3mUybdUsVxxaK+cwU7or/elSwBPPI4kqF0cyPfyq2+SemOWN9pKjidNSb1RJ8iGhJE/KPenyRH3vMT0mrw17gKiGhgpwpO9K9A0tx/CKtVJWzx1Ol9vY5W5obbq8b/y4pLXany5J2b8TUVRDLezD1Oi1GBpZJdOSzVIAswRjYI0c69BTcj9KPTKVuHeFbgP19Oyzh4ATOpBnUEnzJSzLEiqzzCQI0+ngZw+lmwhX+iRve0dkmvTp/fLai2+U63/5cfk5LEs+xQ2ps5e9KV2yZJatHH5KrtvUs+H10m5Mnknb3tGN0k6d2CfLwEpVYOJUstwFg2skLyZOSrkeWJkuKx0/lt+YuDos7YOZWn7moJSbulkdHsiywGo/cHSvlAUEMmW9PgVMnwUA1IMKolghiGsoIUKEANNBL0oBUFKQpba9w5J/x34keVyflPpaHcwuGTbLJk4dkGsPw/Re7Pyc1MOBVelSRrssmWWTpi955fu67QvkPX0rdb2PJF9WXSP37uC/SPth+inozRTiyGobp/R90EvEAr1/2tgRJDsvhFVJQxxJfTNLdfpWpMsBTr0kfY5Z/mLSGTekXzZLes6+KmmPGlLXzbKj/Tul7TX7v5jlc6YeKl22zTKAsaNyTb0juj+26tXwJZIeU+5UoK8L6TIKu58bWC1t1NnDcr6hi+T8J/fp/IGU54E1wNlX9E7qgfRRkyeBky/pvWsC3faW03FDbTzt93tGJF+DUNqexiSAELL5sd6rotQj99As2wGk7E6clPakOiC/s5fpVIfkXkydlWVYQVmOueJKOeyZQ1KmL7oBWH5putS93J/2r6afMsuxe4akXI8dS5crBKG012az5nK/5FPPEHDmsNSvsCrXOj0urwvLkm9jup4mkQ+VbBvQtzxdogbIuAqx/G3tdekY6MhuyQcz1girwEWvS/MAQdr/LrtUyoFZWt+oy32dOqM3qNZ1IShJex/V0/FOY0rqwtiradkfXJPeC7NcMSilY6M41uOwstyHxnR6rrACrLwKZ+JeVI4+jUo0gcC0gydfkjxRJWDkknTbglef0WUDcvzqoFxDbSJdImf6vpMvSrrDcroMdVIv/esb1eOzRnrfgjDtZ8eOytjg7GGgPoFa2IPT4Qosqx1FqXdIzjd1FsnYsm+l1NvamB7P6PZUhXIfhy+R5ZZxXZb9me0F4obkuQl3f/YV+ffyN6XLzs12Bb4tAeztBIbXZ5fJmaU2YUUfY0pHF0U6FjNLZ4B0/KdCXe9LwLlX03oOJccq98o1TY1JHbc3AS/1Sbs+fkKO3b8q3Tri7GE9htSv6xmSdmD6HJIxP+JsOTT3udwvbUXPMvl5+pzk2erNkq8TJ5CMfU2fbjZcD6tyTfY9qQzo/jmWvrDSr/NDL509/QoQ19I+oTokS5LsJXyn9ku5tDdoL/XptqCWjlNP7ZdrieP0fpd6pI5ufld2idzZQ/J687lieixdLjdxWtJcm8j363bbbepgbVzyK2pIuWhMZ99nt1Fmiw3zucn0rYBuX6fk/lT60yV+ZisHM/7UdaZ2+hVEjQamVr4WQ6s2SDmvT6X3RgVpv7dmc7rE3V6u9eRfSTm2l73aSyzr01L/ps9KWsePyX1SSrYVqE2kZa06LH+rjct9N3tyms9n9messJoutTdlcmhdem4zTrWX6TWmdJuyUtqjUkXGX2Y55NQYMstTzWfoygBw1e3p8nqT97Ciqpm+YGBluiTw+l8Gtt6HbsJla+3y1fe3HCK2E8TJ/2lqNtuznU9IXwLON//n31JLTzeZ77znvVx6fPeE94iIZutCaN8vhDQSLQWsK21y84c64gESl60tNbMIEdsJFNIvkGcfypEPjs6Xm/+L3VkstfR0E5P3wFzqYvHxeC+XDt894T0iotm6ENoOt09bimkkWirm/lmMWrbngcVOQVvx4VG7zCJEbCc4vxChLJbn67zDNnd4erqJyXtgLnWx+Hi8l0uH757wHhHRbF0IbYfbpy3FNBItFXP/LEYtM9HwugT3PGqXt39G/u2SPY8U9zxK37MIex6pJbbnkeKeR4u255GKamgE87fnkeKeR0tuzyMFoB46ex4p7nnEPY+45xH3PJrdnkfqAtjzSHHPI903cM8j7nnUfM8jxT2PuOfRAuCeR0REREREREREXYh7HhERERERERER0XnjsrV22vl5WYqlp/7VVAWqPoEADQRBSaZuJtNRIdPz4ig/HTLhhtQB5HlgjEZQRhw15NhAfpooID+b6ZGnDqRTCt1z9K/SU2wn5Wel9BKqKf/5+5brZWCetKswvS77fNVhmZo4dVbvhqifa5Z75W9nX5Fzlnus6dxOVLawqqfrRum5gIL8U+kyPETJUSKEKKGR5GPxanqVTvtP/ltPsy736+nTvo2/dZp997spe8qwPZXYfolehhdFBee2lPtl6qyZbp7JS70cKgj1kkprmQKU/Fzqk6UpZw+hOI8slUE9TXWs6ctMCmLIAolEWE2n2GZY6TZTn6fOWGnyhJ1qaYcE+3WBTHtt1PzlOTYpN3kU6d/rJQvQyyxgv9cqM/b7oJdbuNPE7TQHZV2PQpn2a6bYu8spMwKpt0n6lZTBKHLSVfDekl4mapZUTJ/LpjHJA8i9Gr5Ilvol9SBEWp+s5UWI9dKQgvOuuVaOc/aw9d6iexjIVOJKv6c9U0jbrkDaktq4c5yC+1wZBEavlKVWuTzW070b083zPyjr5UPI108VShs8ecZammuSXHKOq68jU791fbWn6ydtm1WGB1bKlPlje5GUNeW5f5opvbEqoRS7bUorETGVXjo6oZdc63OGobQftfF0+VRtPF3OMnXaOYyu17Xx7JJjt/0DZAlH36gs0UjaNidNbtkJK/L7TFscyEtLvZ5y4qRtYLVMX/fWI18+mfrulGWzBCEoybT53HH0e0zfCJVfxjqwSpbfHHoy31aV+4HapE5nQR1Soe4343x5TtrXor4td7D0HGFPfrxgL9N3l+zn+h+PUl+2zKtQjpMsNQtkSUHUsPJC95Em38JK2rdENatM6aUZUSO7fDTQeW+WRCKWtsRua5J0OOWpOpi+1ywLsvMqrLQ2HjBlLlOvZnyT5OnASmnfzHJBcy+LxiNBSTcCnro2Ezdfml2PuT9mGWhQlrQ0pv2vy/zOtFRAftzm+VkhXa5YG5P/LqjjyXhElRAOrLK2CshdhJTXZBmUlb6wml9KVSgAKr3pcqfamBy7PuFv75I6VjBeTcYY1vGDUC+V0+MUs5WFXGk+Pb3DskRpekzKTW58GwLL1stxx47r7QrszzF6y4XCPDBjkUbx3+109Y0my7Xzfzd9of05x4yLG57rK1Duz44ly72ylKvl8bpO58qrgAM7/e/LledWx6bucaztDFQo5zXLWFWYHrfwc6TPHCJeJ/1oTeqw/VnMpCVTV61zDa6Rpf/mvvk+r9pKfdntACaOF9QPc4pyWsb7lst/T56StJi2INmSpKBfBPJ5WBlMl+nf9KvAlvcUp6HDcNlau+z8PPDgryU/xsn/afMYMWIhj92JmF9LA+8D0dLAukhE3YxtIBHNyp2fuuAfIHHZ2lKz5/7MjwpYsHCoC3nsTsT8Whp4H4iWBtZFIupmbAOJaFacz/mdjA+P2mXT3ZkfY2DBwqEu5LE7EfNraeB9IFoaWBeJqJuxDSSiWXE+53cyPjxqly3vkSlt/asBVYIKK6iXB9BQIWIFqKCUhis3zN4mhXzfhQRQUIjCSnpsQIe87HPervfaWH65rEkuOkf/atmzwPysAv2z//zoGy1Ouwrlve75qsMSGliVZP1zWNHhgoclpGpQ0vvsLJf/NueyhdXs75L9GwquK6hA8guIlfyvoUJ9VWafmiLKOrb5b712uzqcT1tC/953v5uy0hKUrTywXxLo37dQrcv91j210mXOVeqT9bzJ781eK/rnUp+EzW31+7jKYBpquYB9HyL3mz6zBjrHud/VYSdNbvpa/f7Qfl0gYVyLyjPMuvIgTU+y1tyk0X2vVWbs9yHQe1qZ3yvk0hyU5d6V+9PXBeUZridw0q/0e5q1L9Z7S73STgxfInUwrOi9BEL5174PYVVem6kHIXJ1yqw1b3beNZt1ObPfW3QPdRhzb3um8ykJrW7yzr1Oz32uDALrri/I40CONVP+B+W0bXPrp9mnIEmzvT+Te1yVf7+pr/bvkzJkpXNgNTB6FTJlzXf/kNbFSAGNoASVO2crQwcl965nJHtOExo+KEu5Mvei1KfLjHuYMH29Sa+v/QOkPA2uc9o298o878m1xXqfDG85cdI2uA7F9ciXT3addtr1nmVSFrzH0XXA9GvKzQMl93jd9f4dawquAAAgAElEQVS2qtxvpbPgmlQo5dBXnpP2tdVho13XPeMFs8+OaYuUqRu+/sfDLfNmfxm73Q0rTl4E2XwLK3KeUq9TpgL9+77s7wJdh5XVHrltTZIOZN9bHZb/VQbzeQHV+njAlLlMvZrxTXItyy6V95b7sveyaDwSlDzlrEWFY0o3aWH2v0s9kkdu31DY/zrt3Ew/K92fVYeRhJz31IfMeCQoQQ2uaz5OTsqzkz63nDal99pafrmMuysDkhdF7V1mjOGp08rTbgflND1mfy7fOMO8vndEyk3faMH4NpS/mz4/9zmmNEMeqGyaCq9R6xvVdcj3d+X5nBNY19iicr/kf6lXymPvyCzH6zqdl95c/L5ceZ7j3Da7fqpQ0m3/rDzlckZzeDSQ9KNB/rOYSUtRGRtcl71vvs+rNtOWrdks11tYP8wpTPnSn097RtK0hFVdxyoF6UPa57oqg8DAGmDl1R2xZG02uGF2O215T6ZwzfRx73zMtqnodoHzLy0O5j/R0sC6SETdjG0gEVEeHx6107Z7gO/8wWKnYp4odNVE3qA8QzQrmrUkes/pmV+7aGZRzoNyNnpZ36hEVmxHPTGzJJIIJFlunKylq03tii9yz7wLJHpbfRpzj1wyi+guSCOkAQFCBSfSDp2fuZfNxa9/raa94HVKR5KabTmeczqWojlEIKL5F1Yl6id8kZtowS3YWNjM+pjve+q0OUnkRz27d8HHAd1modr4guOW+iTaXKMgUlo7lHqAmz4IbL1vcc6/CPjwqF066sER0HWdNh8czb+4scQfHAGzKuduGcmF215AcVT44CgGoKzLSJayLkltalfaMmCMdHjiOWi0EOLaYe6z0uc2geBpvsytbC6N+tdq2gteN2/15UIeN/DB0ZIwywfqNM8WbCy8UG2Dc9zGZPr7C7k5WrLadB+N+vgCnW8W6pPp5/sueYC0tL+E7iR7HljsFBBRF2LUmO7A+7w08b4QERF1uC76nM+HR+2y6a7FTgERdSFGjekOvM9LE+8LERFRh+uiz/l8eNQuW+8Dbv7QYqdiHnXZ96czRrOiWUui9yxlsyjnbvSyvtHZvf98qMCJQGL9CWnUmKW9ZA1oX361I6SAjt52XpFLWmdHSItUAJWLtEPnZ25lc2nUv7lEmbR/baIltisdSxHr05IQVpFGOKW2W7CxcFHEt/k4riWJ/OhGoKX5sVD1suC4pb50j8jFUuqRz/ddsmQN4J5H7bX1vq4qXES0NPBjT3fgfV6aeF+IiIioE3BMQ0REREREREREhTjzqJ0+PppEKlj80L1ERERERERENGsqBO74PWDLexY7JW3Dh0ftYj04Whqhe4mIiIiIiIho1uIG8OCvyX93yQMkTnppF/3gCGDoXiIiIiIiIqIL3p77FzsFbcOHR+1iRShg6F4iIiIiIiKiC9ymuxc7BW3Dh0ft8rFjyQOkpRG6l4iIiIiIiIhmTYXAnZ/qmiVrAPc8aq+PHUv+k0/tiIiIiIiIiOhCwIdH7fTbq4DG1GKngoiIiIiIiIjOx/AlwP/xg8VORdtwAky78MERERERERERUWc4/TLw+5sXOxVtw4dH7cIHR0RERERERESd4/T+xU5B2/DhUbuE1cVOARERERERERHNl+GLFzsFbcOHR+3y0SN8gERERERERETUCbpszyNumN1OHz2y2CkgIiIiIiIiIpoVzjwiIiIiIiIiIqJCnHnUTvcOL3YKiIiIiIiIiGg+3Ht6sVPQNpx51C58cERERERERETUObrocz4fHhERERERERERUSE+PCIiIiIiIiIiokJ8eNQuXbQWkoiIiIiIiKjjddHnfG6Y3U5dVLCIiIiIiIiIqDMs+MwjpVSolHpCKfWg/vkypdR2pdRzSqkvK6UqC50GIiIiIiIiIiKam3bMPPo1AHsADOmffxfA78dx/CWl1J8CeC+AP2lDOhZfF+3ETkRERERERNSxVAjcc2KxU9E2CzrzSCm1HsAdAD6rf1YAbgXw1/olXwDwcwuZhiWDD46IiIiIiIiIOkPcAO5bvtipaJuFXrb2BwD+C4BI/7wCwKk4juv65wMALvK9USn1AaXUTqXUzqNHjy5wMomIiIiIiIiIZiFuLHYK2mbBHh4ppe4EcCSO411zeX8cx5+O43hLHMdbVq5cOc+pIyIiIiIiIiI6Dypc7BS0zULOPLoZwF1KqX0AvgRZrvYpAMuUUmavpfUADi5gGpYORlojIiIiIiIi6gxdtufRgm2YHcfxfwXwXwFAKfXTAP5THMe/qJT6XwDeAXmg9EsA7l+oNCw5fIBERERERERERBeYdkRbc/0mgC8ppT4B4AkAf74IaVgc3DSbiIiIiIiIqDN00QSRtjw8iuP4HwH8o/7vFwDc2I7zLil8cERERERERETUOe4d7poHSAsdbY2IiIiIiIiIiC5gfHhERERERERERESF+PCoXbpkKhsRERERERFRV+iiz/mLsWF29+qigkVEREREREREnYEzj4iIiIiIiIiIqBBnHrUTI64RERERERERdYYuWl3EmUftwgdHRERERERERJ2jiz7n8+EREREREREREREV4sMjIiIiIiIiIiIqxIdH7dJFayGJiIiIiIiIOl4Xfc7nhtnt1EUFi4iIiIiIiIg6Ax8etVMXbaZFRERERERE1NG6aIIIl621Cx8cEREREREREXWOLvqcz4dHRERERERERERUiA+PiIiIiIiIiIioEB8etUsXrYUkIiIiIiIi6nhd9DmfG2a3UxcVLCIiIiIiIiLqDJx5REREREREREREhTjzqJ26aCd2IiIiIiIioo7WRauLOPOoXfjgiIiIiIiIiKhzdNHnfD48IiIiIiIiIiKiQnx4REREREREREREhfjwqF26aC0kERERERERUcfros/53DC7nbqoYBERERERERFRZ+DMIyIiIiIiIiIiKsSZR+3URTuxExEREREREXW0LlpdxJlH7cIHR0RERERERESdo4s+5/PhERERERERERERFeLDIyIiIiIiIiIiKsSHR+3SRWshiYiIiIiIiDpeF33O54bZ7dRFBYuIiIiIiIiIOgMfHrVTF22mRURERERERNTRumiCCJettQsfHBERERERERF1ji76nM+HR0REREREREREVIgPj4iIiIiIiIiIqBAfHrVLF62FJCIiIiIiIup4XfQ5nxtmt1MXFSwiIiIiIiIi6gyceURERERERERERIU486idumgndiIiIiIiIqKO1kWrizjzqF344IiIiIiIiIioc3TR53w+PCIiIiIiIiIiokJ8eERERERERERERIX48KhdumgtJBEREREREVHH66LP+dwwu526qGARERERERERUWfgw6N26qLNtIiIiIiIiIg6WhdNEOGytXbhgyMiIiIiIiKiztFFn/P58IiIiIiIiIiIiArx4RERERERERERERXiw6N26aK1kEREREREREQdr4s+53PD7HbqooJFRERERERERJ2BM4+IiIiIiIiIiKgQZx61UxftxE5ERERERETU0bpodRFnHrULHxwRERERERERdY4u+pzPh0dERERERERERFSID4+IiIiIiIiIiKgQHx61SxethSQiIiIiIiLqeF30OX/BNsxWSvUA+BaAqj7PX8dxfI9S6jIAXwKwAsAuAP82juPphUrHktJFBYuIiIiIiIiIOsNCRlubAnBrHMfnlFJlAN9WSj0M4NcB/H4cx19SSv0pgPcC+JMFTMfS0UWbaRERERERERF1tC6aILJgy9ZicU7/WNb/iwHcCuCv9e+/AODnFioNSwofHBERERERERF1ji76nL+gex4ppUKl1JMAjgDYBuB5AKfiOK7rlxwAcFHBez+glNqplNp59OjRhUwmEREREREREREVWNCHR3EcN+I4/nEA6wHcCODqWbz303Ecb4njeMvKlSsXLI1ERERERERERFSsLdHW4jg+BeCbAH4SwDKllNlraT2Ag+1Iw6LrorWQRERERERERB2viz7nL2S0tZUAanEcn1JK9QLYCuB3IQ+R3gGJuPZLAO5fqDQsOV1UsIiIiIiIiIioMyxktLW1AL6glAohM5y+Esfxg0qp3QC+pJT6BIAnAPz5AqaBiIiIiIiIiIjOw4I9PIrj+CkAr/P8/gXI/kfdp4t2YiciIiIiIiLqaF20uqgtex4R+OCIiIiIiIiIqJN00ed8PjwiIiIiIiIiIqJCfHhERERERERERESF+PCoXbpoLSQRERERERFRx+uiz/kLGW2NXF1UsIiIiIiIiIioM3DmERERERERERERFeLMo3bqop3YiYiIiIiIiDpaF60u4syjduGDIyIiIiIiIqLO0UWf8/nwiIiIiIiIiIiICvHhERERERERERERFeLDo3bporWQRERERERERB2viz7nc8PsduqigkVEREREREREnYEPj9qpizbTIiIiIiIiIupoXTRBhMvW2oUPjoiIiIiIiIg6Rxd9zufDIyIiIiIiIiIiKsSHR0REREREREREVIgPj9qli9ZCEhEREREREXW8Lvqczw2z26mLChYRERERERERdQbOPCIiIiIiIiIiokKcedROXbQTOxEREREREVHHCsrAx44tdirahjOP2oUPjoiIiIiIiIg6Q1QDPj662KloGz48IiIiIiIiIiKarai22CloGz48IiIiIiIiIiKaraC82CloGz48ahdGWiMiIiIiIiLqDF225xE3zG4nPkAiIiIiIiIiogsMHx6102+vAhpTi50KIiIiIiIiIjofpT7gI4cWOxVtw2Vr7cIHR0RERERERESdoT4OfGLtYqeibfjwqF344IiIiIiIiIioc9THFzsFbcOHR+0SVhc7BUREREREREQ0X0p9i52CtuHDo3b56BE+QCIiIiIiIiLqBF225xE3zG6njx5Z7BQQEREREREREc0KZx4REREREREREVEhzjxqp0+uB6bPLnYqiIiIiIiIiOh8rLse+MA3FjsVbcOZR+3CB0dEREREREREneGVXcCnb13sVLQNHx61Cx8cEREREREREXWOw99f7BS0DR8etUtlcLFTQERERERERETzZc2PLXYK2oYPj9rlwwf4AImIiIiIiIioE3TZnkfcMLudPnxgsVNARERERERERDQrnHlERERERERERESFOPOonf7njcCxZ1t4odL/i/SPIRBWgPokgHjh0keLQ4VA3HB/iQW916UeoNQLTJ5cuHPQIlvgMtQpVAmI6wt8khCAW8cX2kLd/0Af1xyfZezCYe4d7xl1g3b3gc7Y3ft3Jz0qBMIqUB9f2KS1nQKCEIgiFOfHbAXzeCxaUGEP0JhGV9wvFQBv+N+Brfctdkrahg+P2qXlB0dAbnAXN4D6xEKkipaC3IMjYMEHPPVJ/TCSOhc/ILZkwR8cAe1/cAQs3P03g0GWrwtPFwzkiRLtbqNmejDr+Vvc6MAHRwAQA9F8961svy4YjS76fBFHwHf+QP67Sx4gcdlauxzfu9gpICIiIiIiIqL5sueBxU5B2/DhUbusuGKxU0BERERERERE82XTXYudgrbhw6N2+Q87gNGrWnyxQubWqFD2p4FagITRolOh75cLe85SD9AzsrDnoEXG9qIlqh2rt311fKEt1P0PkPZRLGMXFt4z6ibtLuvO2N37d/dXIVDqW6gELSIFBCXM78dMfmS9YIQ96Jr7pQLg5g91zZI1gHsetdd/2LHYKSAiIiIiIiIimhU+PGqnbfcAT3wRmB7XG2Dbm+eZbyTcDfX071VQsLEyAARAWAIadaQbytlRHQL9/hk2r1Mh0DME1KacDfzMscw3CQpQCmhM+Q6CXLSJUh8w+hrg8DPIb3gXAH3LgXIfcO7V7DGDssyQmR4HAiURKWom36xrqw4CU2eQybugZEV5sPIiMEU+lhkHjWn4NzhUMturZwiYPKPzw42UEUg+xJE+X0P+Hlbk38a057C+yGrNBDpL9RP8qJ6mraVNFvVrgzDNuyAAEM5xQztzf+17UBTRJADKvXK+wXXA6QNANA30rQTGjxeUH0tYRRKxozYhZXx4vZTz0/uz5w9KQFTLpjMsy3/GkbVxYwCUKpKuqXPpe8IyEFSAmr7PlX7ZUDxzTM/1NY2qAp1Gt362EjFEl+vpsYJ6G0iaTZlDDMQFm3WW+6UsxhGyUbKU9Ttz2LJVb5xj2XUHgSdvmlxXUJL8Tdo981p9nyr9cr/PHckfw60zQVmnvZH+XoXOteg8j6O0fqKozcqcTOo0lL6F9nVa5VyFUi7tOp6kUwF9K+TnieNS9oKS3M+B1cCa64AX/gmYOAlU++V148cK0tNKWdHpUqG0l7Ux+XXfqNQb87PJu+WXp8EbVChtb21C6mnvCFCbBKbOSnobtZnbmeQY43L9QVnnu7lnbvtgfvZF/lJAZUDOPXZUl28r6iiUpFOVgPqU/C0IpYxPn5PXhVW5z3FDylzkaYdbYfrDRj1tO2OTFt0ee9ty3eaWe+R9JtiF0uURUVofojpQqsp1evPZ5BGcfDJ9j87vvhW6n5ponrZSn3/sYfq63mVSPvduAyZPIdeXq1C3M/p3lUHg8jcBh54CTr+cPWauTfZdl2mPzPWFcmwVOPVZASOXSZt89hAy9TxXP1qNsGW+FY/y15Ucx7n+6jAwuEb6r/HjLZ7HPZbu05I+veG/V2FV8jCpv/o+xY18OxaU9Oz0WNrS2qSMiSoDwFW36/tpR1a18tzMQE7+bt2bsCe9xhnbTjs9ITJtpwrkWG4ZL+t+1u2HTD8dlOW8jRqStrlo/FQZTNsg+zhhyd9eRPqYdvvYjKm/YaXJ2EmfD9Bptsaddpk2M40aNaA6IHW3WTsV6jbCtB+SIDmm6duqA7q9H0/P2zsi5cKuM9VhnabAM9bXxzWvLffLWMmXPhNNSylp62Lk87JnmaRv/AS8/VhQkro3Y9nS4x3zurAqfd3U6bT/mT7rXIOSzw2lPnnv9Lm0HFX6ZCXIoe+n46tcVGurfTBp7V8l92HqjB5/ROlro5r8W+rRx/C1S24kviZtVWUAGLoIOPFCcTuafEYa8xxXX78q6Xwz41BPOQur0q6NHUvvYVjVY8xI6o6C5HNjWo6ndBtm6pH3M2oL45ewiqS9CSrWZzxYdcbthwJJS+9y4MzB1j9TBSEQVOWe223KTJ+Jwop89jh90F9WKwPADe/rqplHKo6XfsSULVu2xDt37lzsZJyfbfeku7ETERERERER0YWtA5auKaV2xXG8ZabXdcmCxCWgi3ZhJyIiIiIiIup4XfQ5nw+P2qWLdmEnIiIiIiIi6nhd9DmfD4/aZet9MqWtb1Svd3ajLijP76zfeyNyGYHeZ8e+nSr791YiCqlQr5F2Iz+o9N9A7w0TVosOglyxKvUBazbnf2/S1jcKDF+SP2ZQlnXsCGW9cbkf+WgxgV7D7eRdJsqDyv4+KMnaV7OnTtF1lPqAgTVWfrivDax9OMpp2sKqvh++w8426lKQrmtP9pxRs4jOoV9bGZQyoEJZxxz2zDId1vFy96AoDwO5Z9VBWV9e7pdzD65rUn4sYVXSae57WJH9WoYvyZ8/KOfTGVbkf4Fd9vWa9N6R7HvCsj6Pvr7KoOeYnusrZNdnt3620uzqcl1YbwPJH3NPVZMoSuV+uRbzOvvfXL0pQ/Yd8RzLrjvevGlyXUHJafesuhlW5H4MrPEfw60zpg2yf5+7liC990r/dytlzqzdN3saZa7TOr7ZH8GbTiVtWv/qtOwFJbnGlVcDm9+p/6avu2+0SXpaKStmXzy9l4fRN5r9GZDrsaN+qjBtG8KK7MlUHUZS/lppZ5JjhOk5MvfM19cB+XZE/60yKG1E0qZa5zHpLPUhKadBSdeVEEnkoiQtBe1wK0x/aLeddn9c2JbrNrd3ud6Hxvza6pNMfQgqcvzCfDZ5VNT3QPIp6admSFvR2MP0daZ89ozA25erMPu7yiBw9Z26TXaO2bT9tO+9fX1heg1uGz9yuZQLt57nFPVHvjTo97vXlRzH+V11WOpP3+gszuMeS5dZ0z8V3auw6tRfs3+Lpx0LSnIvKgNWHdZ1Kbmfbnp0+ntGnL9b9ybs0f1wK22nfQin7VSBv4yX+/39kOmnK4O6ndX512z8ZLdB9nGK2otyX759bMbU36ZjpyC9r+640/RHgW4vK4NyrL7Rmdsp09e7Y3wVpuOkpL23zts7kq8z1WH5n3esj+xry/3F6TPRtFQo+2z58rJnma4rBf1YUGqxbAXZ14XVdO8m0//kriFI87p3ebYcVQaAdddnx1e5qNZW+2DSOrhO+u5Sb/Z+JmXdlPOidsnXxhSoDEhb06wdTT4jFbRdyeccnbaizyVhFVh2afYehlVJg6k7Jp/N8ZR93UWfUVsYv5jPS8kY3OrzkrbB7Yf0PRy+pHmbkEuOHh+4bcpMn4nMZ4+isloZ6Igla7PBDbPbaet9XVW4iIiIiIiIiOjCx5lHRERERERERERUiDOP2m3bPcBTX5H/njwtYQ6Vnh5ZnwLCUELSnj0sIQF7hoEVG2WK6cRJ4NhzElI1bqQhKBvTAJQOR27CRtaBvhHgsjcBex5Mw3GWeoGhtXr5whXA9Djw8uNAzyDw0x8GXvoOsPt+OX6lX6Z2vvqMnLukp+yZsM6VfpkiPbgOOLhLZgGuu17+3XQ3sPoa4Ov3AIefkbCISgFX3wEMrQOe+KKcO6pLuOreEQlvqUoS0h2xXFvviJxn7LicszokIYX///bOPcquos733+rTr7wfkBAkgQYB8yIJ5MEjZC4CCiICeh2QYUngKjiIo8zKYuSOsxZhxvGi4wN0BscoY0AZ0It4w4CMIOKYMIbQ4RnSEAI0JJBA0iGBdB79qvtH7epdp07Vfpxz9nl0fz9rndV99tm76le/qt+vau9dVb9dnSokafNolYaAmsZ6YI8KR/mB+cDWJ4PwnUHY19ZgacO+LjUNsXmUCnHZ3xuUbQA45HiVVn8P0NcDjAqWlHTvVGns3qrClkKqa5pHKTlax4chPAd61fTIybNVWfZ1hWXR8h13jgqJuXOzqodDjgVeekjpoKdb6TvXosra2KJk3NelQoz29eSHRBU5YNQkJfOBParudIjdXHMQWrNH6W7MFBWG+/3tKAj5KoMwtqMmqzru6cZg2PKxH1D19N62MM1cszqn74CSryFYyjPyEGDv26pezFDqgMqjdTwwejKw82UMhi6GUHoZMUH91tcT6uWZu1XZBTAY3lg0qPpsHqXqo79XhWLNtQCjJ4X6EjnVbkZOBKadAux6Ren2/bdVeo0jlD6aR6pQnPv3qHR69ir5cy3AoccCUxcCcy8F1v1Y2VNDUJ6+g4U6euclFda2oVEdaxyh8tXLxbROck2qzerQqQf2BNccDuzdEbbvXBNwcG8YRnTwul5VNh3+/Y21wP5dwe9jVXlGTAB2vw68+4Y6FyJsIxBK13MvBV55FNixSelh8kx13ZtPqRDyo6coXYw6RE1t1unJARX2e6BfyXn4HNX+39sGTDoeOOESFap+xCHA879Q6et6amgMpgo3KfmPP1eF3d2xCdi9RdXRYMhWGegt+L9xRKCzICy1tqXO/1bHJ01XYd67dyibPe4cYEcH8M6LoY/MNQNHna7y7O9R/qRnr5Jn3FQVnr1nr6rnEROBrs1hvTU0qjZ+yLHq+9sblR00toT+WIe3hVTtIxcsU9Lhs1uDeh8xPiz7q/+l7LJ1vFrqOepQYNKHVF0+c7fSSUOjKtPIiaGM/T1KD6af7O9T/hVS5d0cLGfQvlu3u/5eJVNDDpgyV6XXd0D5HdMGX3pIlWPKHCXnvi4Vnnnh54HXVgPbngmm2R+r0t7+nGpLE48N/5/1KaDrZeXzGpuVrZlhg/t7QvlGHwYc7Fb12t+rPrq9DAwE/qcpsH/Dbg52q36zaWTYzptGhNPNe7pVHiKoR+hQwEH+LWOUjxx1aNiWxx6u6qB7p/IVOoR9775w+nzfgTDMsxmyWQ4oHY6aBHSuDsMa62UsIw9R6TYEU+fN8o+YoHT55nplZ00jVFt+b6uyE9tnNDSFfdTB9/PLONAX/C+VTgb61f8jJioZBnqDfg1BWO3ARlrHAoedoNp/9478tgOEvrNxRBC6PuhPWkarOtN9ysiJSr6BXtVGm1pD+9m5WfUDx3xY+c+t7aEPzTWHNrB7i8rr+HPDdqT7Z+0z+g4qOxw5Ucn+/jthnwwJNLSoMgwEvgtQ/V3fAfVdh1cXOeDIk5UPe/4XwFvPhm2pZawq04H3VB79fWEfq+0RUPZ+xInh2G33ltDmp8xRYcKFyPd93TsLxwPaFrXuzHHQOy/6w3hr/67HJUedDsy8EOhYpUJO73pFLUcaPUmltXurso+WUaoP0L6td7/SZ8sYldeetwAE48+eveq81rFh/9kcLAfbGfh73W/ppT4H31ftdPIsNZZtnaD+HrFAtW2ta92/67768LmqPv7rmyr0vF4epsOUNzQCbX8GHH068NoaNZaV/arfEADa/gdw+a/dY/CmEWrM1L0jUJ1Q9SZywVhLqDqXUsmfawSmLgDGTgU614T+o3VsOLY+5Fhgw32qTzbH563jwjHOqEOBHS+pflbk1PfRk1W7xYCyXS1TXsjzYCuDgd5gabZQnyMXA80jgG3Pq7rp3a90YI6X9rwFyMBHDfQrvwMZ3kccerzq6996NhxXC6glS7u3AE0tqq53b1XX6PEepBq/m76m76CSW4eCbx2r2kj3zsD+hLrn0W1J9iu5WoJlaP294T2CyCnfpNvO7teDsa61lKgxGDfnmoG2Jcq29gY61HbYvVPdE+mlybpPOHwu0HsQeOtppc/xRykb3Pu2KlPTCCXTYDj7IIT7vnfD8bL2rQ0NwMhJwbYNxwHHfgTY/HDY/2nf1BBsK9K3P3+spfucgV4lw1GnKz3s3aHK8fbGwGcbOtNj7tZxQf9qhJ7XSxT7Dyq9yxibMXQAACAASURBVD71vXk08KHzVJm2tCuZ+nvCMWJjazgGPrhXtfem1rCdm+XSY5Zdner+a9QkdR84erIqz/bn1DLGXa8AYw5XY5TXH8fg1gIH31c6bGpVy8RMHex5K788uZbgfkAqu9T3mKJBXdu7H9i7Xf0+dpqq3z1vhmNc3a+89JBqE337VHmbRwFjjwDeewuY0AZMnqHKvG9Xfv4jDwVmXqDGTfu7VFubtgjDBSGlrLYMsSxYsEC2t7dXW4zSeeRG4PFbqi1FBRFQN3+EDAXYntNDnRFCCKkBxh0J7Hmj2lIQQoYSItiTa+n9df8ASQixXkq5IO48LlurJMMojJ+CN41kKMH2nB7qjBBCSA2wZ0u1JSCEDDVkMBu6c3W1JakYfHhUSYZRGD9FmmgkhNQ6bM/poc4IIYTUAOOmVVsCQshQQy+7a1tSbUkqBvc8qiQ60hr3POKeR9zziHsecc8j7nnEPY9CP8Y9j7jnEfc84p5H3POIex5xzyPuecQ9j2qazPY8EkJMA3AngMOg7gBWSClvFUJMBPALAG0AOgFcLKV8NyqtIbPnESGEEEIIIYQQQkiNkHTPoyxnHvUBWCalfEoIMQbAeiHEIwCuAPColPJmIcQNAG4A8NUM5agd2leqtz4zLlTf196m3irIAfVmZ8QE4MTL1ZPaztXhk8wt64Bn/z18K988Ejj5GpXG6u+oNxsjJwKnL1NPcTseUDOJ5l6qnsAfeC98c90yCjhqMbD4K+rJ9drbwrdb5pvg/h71pmXeZep7x/1q2Z2ePfXIjerYEQtUmlq2/h715H/KCeGsJv3mUb8NMMs44hBg+zPhmwEgnA0BqHJDhE+tJYAdL4azIOxz9du7xubwzY6ezTL30lCfnauVXjbcp560j58WPuU+9DilH/PctiVKX0/fqZ7EA0pvEz+onqI3tqp8gOAN6IHwrceOTeG5+m1j0yjg3VfVU/ujFof1MOUE9caqc3WY5ujJ6un29mfUW9l9Xeot0K5Xod5kjVflPep0YPJ0pVP9JBwIy/rSQ+pNm1m3dn22TlBv9Sa2AWffVKgDnd5ra9SbhZYx6k1Lb7eq41mfUvVstt3Hb1FvNPoPhnrW+jHfII+YALyzUbWjxhY1q0HLB4R2AKHegLzy+/w3T3rmgp5tot9iCqg3ET3dyt707LL97yq9TDoemLoo1LmuWy3f+9vV/9qW9NuTbc8qffZ0Kxue/nHgf/441JddD8/+u2rnb6wN6nA0sPBz4RvkN9uVPU2eHurvV1epepvQpvSh3/DoNz77u/Jl2vVKOCts4gfVG03tb3TbNd8MtYxRsxbalqi3se9vV/U48wJlLy8+qGZbDfQAh05Xb2G03kcfpvzQgivy/YFug9ufUXU199LQ13TvUG3vmA+r2UBdryg5F36+cJbSpONVGwTUDMYdm5SuDgZvmkdMVG+HzLdbU+aq67e/oN5eTV1Y+GYMUG1MiPw3lK1j8/2RTk9fu69LvX3Sb51PuCT/TaJ+6651YrZbbT+P/R/gtf9Sx3NN+bPnxh6u5G0Zq843Zz9q3/LmU0D3O2rj15kXqPPGHB76q/aVqp5129YzI4RQvsX2a1rf218ARowLZ+dp37P/3dCfmm1qypzwje7oyao9vbFWvZU23+p1rs63M60zl01J5M9Y2vFi6Ids39u9M3zLqX2jfiOrfzNnwU1dpNI25TZng2h036Vta8QhQPtPwnaq30I2Bfox/f+kD4U28/TPVTlOXxa2hfaVqr/u26/av7YT3d5zzcovjT5czcTQ/a2uU13PLz4Yzpzo78mfGeXqu0zfYvbVQoQzaHTb0+192/OhXnq6VV8uEM4wef8d5fPNmYPafp7/BfBuJ3DCxW75394IPPYN5TtHTlR523rUs+0O7FFlOv+7Ybl13w+o2Qf7uvLzWntbOEtu387QV7/3lpoJocdATSOVL+vZF47BDr6vyptrCsp6pMqjIaf0Y/fNgHu8ov2Q9ll6Vpg5m2/7c+pN+O7XgSNPU7OCXG3ctEP9fffrQNer4Sxm3We8+GD+uEzLYvo0l11qP2v2r51r8nUNhGMb2w9sbVfy6FkPWld69pSeBWuOZfS4SEKNhSYcE8wGDsqvZ3SOnKD0q/PRNn32TaGtNeSUH9UzNMw+VNtex6p8+7cx/f2251Ub0nLrWf/9B4N2EvRBh50AvPdmOIPM7EPMcYqWr7tLtbWmVtW2ujaHKwymLswfl+s0u14O7bGxJZTJbP++Mpt9rimr7qP0mErr452Nyjc3jVQzOUaMy/dhZr+h9aRn2+kZz/29asb/IceHM1m1TzXHsOZMGt22bH+sZ/Q1j1LtadKHQp32HQzKNTMcv+k+07Y1PXP25GvCew89htVjq/1doa8073V0uX+5VOlmzBTg4jvcfZL2v9pXTWxTfZ7ZHjb9NhiTHhv6FnMMYN/XPH6LyvfEy4Gn7lSzfEdMUOfueBkQMhzjvfSQGg998IxCuzfvf579dzWD+N0g/5kXqbGrOX7QK0HefyucoThuqspHzxbVberAnsIZlSdfA7z7WnjvOOHoUF/aF+iZP+YMS92v6/LruupcHaxcGJt/D2um6er/tf+1xwvaN9qzhrTdHNgTjgf0LMLuHeHKkiMXAxOPCv3YiZfnj/uGOBWLtiaEWAXgn4PPGVLKbUKIwwH8QUr5oahrh8TMo/aVwANfSXZuQ5MyklwzcO7NwEPX5zvUstCA/GmwCVl8nfpbatS4hqZgeqdHhoYm9dc7JbuIc3MtwMe+BfznDcrYozbzbWgCzvu2Ore/J5iO2hcvS60ggmnNEOESHxdR9dnQCJz3nVAHDbkgvYNxmStnfu7NwG+Wlaa3xdepTnzLOmDlxzOwgzJzzJnAG38Kp2vrepAyWVsGMKi/I08FXv19ltLGkNBHHHNmtJwiFy75isQRmU0ESwWK8VXV5Pxbw8H5HRcE08AHkNkG4g1NwKnXxvtl06/pNlrzFNlXlUwxkQIdsp5/q/qbtP83KbCtBDLl1fH+9HmWkwL5M6zLOD+UJWnGK5mgl54n8bOuy4Ml1VWTvxiibCHoQ5fer24wi7G9qlCKfaQs8+Lr1E1ykjHV+beqhy53XFBH/YYHvXw2DnPseftHUmRQpgiz+j6wWJu20fc/vvvJD8wH3lpfnrzKQUOT8kne+40y9SVmpLRSfYUe99UxNRVtTQjRBuBEAE8AOExKuS34aTvUsjbXNVcLIdqFEO07djjeEtQbHauSnzvQqxxGf4+6rj+LDr1Io+u4vzxR4wZ6o2UY6E0+kEl67qA+Ix6mmGnqc2V/fT04AoLd/3vjyxpVnwN9+ToYTC8281DXpepNy9a5OiM7KDNvBPvu6Lat6yHVoDzQ3xv/nYWEKUjoI+LkTDz4cbRTGfGAuZbR/l6/DZXBPghZMdCbzC+bfq1u9FotOYupL4esHavS9f8mBbaVQKa8Oq4yBfJnWJfV9JdpxiuZIEu7yZT9dfbgCIi2BRlGPyrW9qpCKfaRsswd9ycfU3WsCvuyuuk3PCRt5+bYMxVl6uf1fWC5iLuf3P5s+fIqBwNx9xtlaodmpLRSfUVd+ZrSyPzhkRBiNIBfAbhOSvme+ZuUegfUQqSUK6SUC6SUCyZNmpS1mNmjpxUmoaFJvQnKNavrck0ZCFRk1c+4oDxR4xqaomVoaArf5iVJK8m5g/psBuKiQDU0heeKXDCLp44QDcEGszFljarPhsZ8HQymF0dDqOtS9aZla1uSkR2UmSNPC3RkbOydS9GW1UUqjSNPy0LCFCT0EXFy6s3SY3G0U5FLLkfJxPiENGh/37YktJ8sI881NCXzy6Zfq5tgq9WSs5j6csg648J0/b9JgW0lkCmvjiuJQ7YC+TOsy2r6yzTjlUwQKfys6/JcleUvhihbEOFy5GJtryhK9fGl2EfKMs+4IPmYasaFYV9WN/2Gh6Tt3Bx7pqJM/by+DywXcfeTU+aWL69y0BB3v1GmdmhGSivVV1TU11SXTO+IhRBNUA+O7pJS3hccflsIcbixbO2dLGWoGfRUtmL2PDpsZu3teaSP1eOeRzrvJHsemXUxlPc80vXp2vPI1IFOL+meR4fNLM+eR9MWAVc8yD2PuOdRfe15NG2Rmg5dqT2P9L4CcXsemf6Xex6FPjDLPY+Ayu55pOuYex5xz6PhvOeR3stkOO15pMsct+fR9I+n2/NI92XDac+jaYuAzz0ydPY80veT3POocM8j026451EkWUZbEwDuALBLSnmdcfyfAHQZG2ZPlFL+TVRaQ2LPI0IIIYQQQgghhJAaohairS0G8FkAzwshngmO/S2AmwH8UgjxOQCvA7g4QxkIIYQQQgghhBBCSAlk9vBISrkG/sWfZ2WVb13wyI3506/1VDs95REIp5LqqbR6Cr09DdGcHqmnHtvLwcxlVHpJkT5PLxmYMidcQqSXKLiW0Jlhp3VoaL0UzwxJbC/PM6eRT5lTKIde4qOXkump/XrqtWsatdaBOXXRXsZgnqenJNplMEPAm9MYtWyusus68oV71OhQ9XqZhp56rafa62nD5vIec4q/K72o+jBx1U3U+a6661gVLocac3g49dilW99yrd/dGC6L0cvaDryXv+Tm7Y35spppmcufpi0Kl0jNuEDpz87TrlOtV10WPa1WTzN31bVpo1MX5k8htpeNuWQ0QwObeZhTkO0prmbYXLNtm0sadZvQOhjfprysrTfbxvUyhb4D4RIPVxtx2YJZPts+zHPt5V5R19q2aLcHuz5c2Nfa06F96Zly+2xO60Uvk53Ylr/0SS8lMJep6Wu0vZhLW7St6OW3My7MXz7rsgXddswlAjo/vRxU+xV7eaVeZmunY9aF3WZtnWo5fVOx9RR3ewmPbxmZORU9ie800zeXWupp+XboYV9IYttXab1IALs73WGZXTqw0zPTTKo/n0zm9a4l6rZt6v7QXF5sYqZjTqm3/aKrLny2aPpYe2mNuVTZ7gdc/tGsX73M1vaJUfVqLp3R/tReCm/7MFf/4KsH05b10l9fuHKzbzfTi/J3UTox87X73jh92v29qUeXvZnX2GM9uz25+lm7zdvLaO325jvmyksvtTeX8+vlR3abM68zfZ9db3b/GzWe0u3eNT6w9eraZsHWhd2n6KWvLlmi8rP7WN/59nJRW76XHspf0nZwjzpXL6l0jcXMZfJ6CaCrvPaY3Oz3ovRut6+oNh2nK1db9vkOVzmj2rqpC3NpptnH6bZmbh/gysc1Jom6V7Hv20w7sH2q9ku6juyxh6usWp/6mL3s2XX/YvtRn+1E1ZVZJ/ayWNt/aN22jMvvw32+WY+P9PJo20cl8QG+cegwJbNla+VkSC1be+TG6HDK3pCprvCPVqhCvbFzf1QkMxFsmCaSRR3T4SJzzSr0ug7bnmsGTv5CfllShSQ25YiJvBaZTC5ZRIJcC3DFA+p/HTpbl8kOXWmGuR/oKyx7Q64w9LoZ7tF0ij/9WHTEMVN+uywNTcCVv8lPz5bdrA8z7/aV+fVghlp1ne+6Jik6BKgZ/lvrsL8P8XVrtePF1wFP/KgwJGyuRe0L8fwvjUsbgYGBMM9cS2GdRrYRox3qup7xifw8gIiwqZZd5lqAU66xbDzIY6A//3ozrOeWdcDKj1vt0CF3QxMw65OF8gGh3nQbjbLxxdepNehmfTtD9zr8jq5b2wYK8Fyr7QQIQv8eyD9P+zFdH3Y7BUJbsK91imGkZ9uuy+aShLy3OeFid51E0dAU+AZT/qThZ6POC/aySRrp0PaNtk5d4WeL9RWukOYu35kkfV/o4aiQxD5fYIZldukgKqx1Uv25bNy+3vV7XP4NjcCVD+X3E6507DSShJe3xxSiIRif2G1LqBtF3ScN+m6Hf7ziAX9I5ChdufqZPD0EPrbALgIZfP1DGtnShit3+jtHvxaVr6sscddG6VHLZI/fzLGePY4x5U7iwxuagPO+na9nl11q+QvySuDXdZsz5ejvUQ+XzPap680ei5n9pWuMp8cE5v9aN0C+XqNsKUmf4uq7o/IbVIFjrOoKOe69r4jBNxaLJKYP8+ndbl+u+wvdpnVd+3TlGufa7TiynJbPiLLfguL7xoqOfFxjqah7lf+8wWEbgR3Y+ooiz1caZdVtKek9mW+MqvuIJHaU1J9q//GbZe6xzQkXAx3/kbytah9l3kP5fIBvHDoEqYVla8RFXDhl2e92Os6O1DIQ2Q/0D3jONdIZDNWYMOwvkB/mXvYH362ypApTmFIObzIJQ1nqUIz6/8EyOEJX6vDqg3LaZXfo2Az3qB1M5+r4GzhTfrssA72F6RXIbnw3z7XromOVeovgO991TVJMWewQ9Ynq1mrHHfe7Q8L29wCbH7EuNfSr68Cu08g2Igvr2s4DiBh0WeVz2cVgHta5HavCm/LO1Y526JB7oNctHxDqbbCNOuQzz53Q5rjeLqfj+sR167vWssUCWzJszNVOASNscIL2lZeeZbsum0sS8t7GVydRONtU0gF61Hky+YMjIL4+zHZqHisGV5ldvjNJ+j7/HRWS2OcLOu5XD4987SoqrHVS/blsvOB6Tx5R+Q/0OfoJx7l2GkluJO3+Tg6oT+GJ7n7A5R87V6tZUy6idOVM3yDOR/v6hzSy6T40qZ06/Z2jX4vK11WWuGuj9DioB8vPmWM917gjr2+PafMDvYV6dunem1eScYMslEP2F16q6832iXn9pWuMp/Mw//fYapQtJelTfH13nG9wjVVd7cF7XxGDbywWScy5Pr3b7ct1fzHYpuN05Rjn2u04spyWz4iy34LiR7QFOx/XWCryXsVlG9Ktr8QymmVNeU/mG6PqB1KJ7Chh+9I68I1tNj+Srq0O+qgkPsAzDh3G1HnMxTokLpyyN2SqawWgVX0ilyCUZsIQ7oOnN4Xp5oVtby4sS6qQxKYcJTTDpKEs9RROM3S2L3SlGebeWXZHWF4z3KOmbUl8qHpTfrssDU2F6XllsvK268EMteo633VNUkxZ7BD1ierWOmfGBe52kWtWU/fzLm208nTUaWQbcdS1nQcQETbVsiGXXeg87OtNfbctcbRDR34NTW75gFBvuo1G2fiMCxxtxBW613G9rtvYkLe+ay1btM/T9eBrp4D/WqcYOb/tumwuSch7G1+dRNEQzHjLP2h995UvxscX+J0IPcXVh8svFOsrXCHNXb4zSfo+/x0VktjnC8ywzE4dRIS1Tqo/l40XXO/JIyr/hkZHP+E4104jSXh5e0whXG0L6ndXP+Dyj1EhkaN05UzfFMHX34hQ9qi2kUS2tOHKnf7O0a8lDhOdUJ9RehzUg+XnzLGea9xh97NRbb6hqVDPLt1780rg1+GQQ8+Us3XhGovl9ZeOMZ7zf4+tRtlSkj7F1XdH5adxjVVd7cF7XxGDbywWScy5Pr0XjOMc9xeANY716coxfoiy3YJyWj4jyn4Liu8bKzrycY2lIu9VXLbh0VecjM6yprwn841RU9lRwvy0Dnz3VMd+JJ3sgz4qiQ/wjEOHMVy2Vg245xH3POKeR9zziHsecc8j7nnEPY+451E43uCeR9zziHseRefHPY+45xH3POKeRxmRdNkaHx4RQgghhBBCCCGEDEOSPjzisjVCCCGEEEIIIYQQ4oUbZtcCUVOCXctfoqbP2cuk9HIF39IAlxxJloq4poH7loK5lteZUxajphIDyaYNJlnOpfPa0g5gAJh3mXu5QpIlYS6d6+VM9rTfUomb5l2MHqKmzcZNh3bl4zpuphkld9xU/rgyFdtutXxxSw3idByH2T5GHaqOmUtJ7HOTTF92XeNbthM3Zdm13AAofklDkqnQSXSXdAlBGjuNameu5ZCu9u3StQud3hELgMnTo3XnKmNS24mq47TT+l1yFTNduxgbKYeMLn366ts839ef2df6lsPELS1wTb23l5fbU/5d9hPlx0u1tySkqVefDoHk/Zlv2YpLlmLaUJoyxvngqOXj9vJOIL++7eVPpY5/kpK0rKUu5UhSj1HtPe1ysiRjk6R1nEQ+H1Fj+yhZXddGLcd02ZhZ1qT3BEl8qr1U3TVmtO3bXoLss3tX/6rT27HJvb2HXWZfPSWps6hlbS79JFnqlqauk9ph1HYAcW04Sbl8RI0JS7n3TKMHINmSR7vc9nYb5jJt17gpi3HREILL1qrNlnX+MKgFoVuN0KS+hu0LDe8Kh+ySwxfGPUpWO2R8QShcK3SnDi0MRIdPTRoq0ZbdFcLelZfOzwzRHJVGWp0D7jDXadiyLj9Eqx3a1j43iR7sOnSFXfeFgNXOOioUqq47V/jRuDaliQtXmqaeXO02KtR8lK0ksRP7/KTtw1fXtg7sMMq+kNaucNRAREjr4Lcrf1Poe5KGcYYOJR0R/jXOF5npxoVNTmOnUe3sxQetsNVB+7Dbt0vXrnb9yI1W2FyH744qY1Lb8YV21/WVJpSxS/dJ2rhNMTZin1+MjOY1utx2yGFTl3H9md1W7LDEZuh22x/5Qo0nCTcvGvJtxeWHdVldoaWLsbckpKlXn73ZIc2j+rP2le7w8y5Zovq6NO04Sd/m84Gu3+wy2Nj68IW5TjP+SVrPSctaavjqJPVo980+H5809Hfc2CTpuEanFyVf0j7HtsMkbaqgXzWx+lqN3YYG+t1RsZLIY+rT7pdc6bnCzp9yTWEIeZfdu/oz2z4G88oFZbTsxuc3k7Rbn88CYny9wwfb/rYY/+GzQ5d8vnsxZ18RUy5fe7bt2BwTnnsz8Jtlxd172vpPY7u2Tsy8osrtwzfOjZJviMFla/VC52p/GNSCcMVWiENXWr6bVDvkpE8OM7xlUlmd4Q5NZ28Zrg4t7JI3L4xnb7xMLtldIex9utHhLZOk4cs7Kix2sSGt88rmCG3rPTeBHlyhQu3OWR936cDXVvKOW2kmbVP2+XFlSlJPScucV/aYtOLahXl+0vbhq+uoPO1r9HW+cNRAUG5PZzrQ6/Y9A70R+Zv1J/P/mu3IF+rZhd2WfD4hjZ1GtbOCsNV9nvbt0LUrz4KwuQ7fHVXGxLYTUcc+HxrXhtO2cadcKW2kHDK69OmrbzMNX39mX2vfgHWs8vsnX6jjqPQBVW8uXxXnx0u1tySkqVefvQ0kbNtAoQ8q8JUJ+7o07ThR3xZlx9Zvcf2/rY+BCF9XytitlLLm6TahTCZJ6jGqvXvzT+HbvL42po6TyJe0z7HtMEmbKuhXTaT7N7sNuR4cJZUnakznTM9h364Q8l6fbqVv28dgXv1uu/HWU4I68/ksIMbXu3xwCh+R1g5d8vnuxZx9RUy5kvpjc0zYsar4e89UevD4BpeNRZXbh2+cGyXfMIUPj6pN2xJ3mMq2JY7QrY6QxnZavhDNrnDILjkShcd2hUa3wx2aYUGtZqZDC7vkjQtZmkR2Vwh7p25QGKI5Kg1f3r7QkUDxIa3zyhYR2rbg3AR6iAsVah6PCnkaedwTftQnsy98cVyZktRT0jLnlT0mraThO9O0D19dR+VpX6Ov84WjBiJCWge/uXxP0jDO2t/k+Z0mh/5jdGe3JZ9PSGOnUe2sIGx1o6d9O3TtyrMgbK7w685VxsS2E1HHaUMZO+VK0MadcqW0kXLI6NKnr77NNHz9mX2tHZbYDN0eG07ZyD8u3LzLV8X58VLtLQlp6tVnb3ZI86h0fOHnXbJE9XVp2nGivi3Kjq3f4vp/Wx/eMNcljt1KKWup4auT1GNUe/fmX0SY9qgyRPmUOHuM0q/PDpO0qYJ+1US4f7PbUEE4dc89QRKf6hszmbqx7dsVQt7r0630bfsYzCvnthtvPSWoM5/PAmJ8vcsHp/ARae3QJZ/vXszZV8SUK6k/NseEMy4s/t4zlR48vsFlY1Hl9uEb50bJN0zhsrVaIGrNJvc8ipfJJbtv3S/3PPKv4eeeR9zziHsecc+jJL/HUYyNlENGlz6551Hx9ZhE53Hncs8j7nnEPY+45xH3PErvP6Ly455H7jrwlZt7HiUi6bI1PjwihBBCCCGEEEIIGYYkfXiUW758eQXEKY0VK1Ysv/rqq6stRulsWQc8d496gv7Ko2qa37gj8n8zj+njq/8J2PRbYMTE/N/KKZOdbyWIyrt9JfDoTUDvAeAD88Lzk+oiKm3zt/fedP/vSzuqDrMmrq5K+T1JuWz9v/em2pT5T/+iNknU9eTLS1//1M+AzjVhHaZtg/b5PtmzritfOyqmbpKe67KLNHKWUn477yTpltO/xNVnkvpI6heirkn7PY0uqumP48i6jyrFf/nsIq0PKJedZkUpefp8ctZ9XpR92HZq5vXUyuzGPUnlS2u/SfMoRsZibCzLNhrnb+26TNLvV8qXxF1XqfZny9m+ErjvauDJn6glNL4+Pm35osYNLp2n6WvTjtmSjLPLfX0xMhd7TRqSpp/ULorR05Z1ahz/h28Cr/4BGDetMv1Z3P1wlve9cXL58i62D60jbrrppm3Lly9fEXceZx5Vii3r/JEXAP8u80kjbZUik51vJYjK2xWd47CZxUcdSxrhSP/v00VUHWatt7i6KuX3JOWy26KOSmBHH9LLDl1RO3xRwZJEy/KVwxdtISoKQ7mWb8RFb/HJnDTKWBK7iFsWWS4bt/M2oyLG2Us5/EtcG01SH0n9QtQ1cdH+fNHfkuiimv44jij9lKOPKsV/+ewirb8ul51mRSl5+nxysRFWi43oFRW5yxdNqNzjnqTypbXfpHkUE72wGBvLso3G+VvAH+nI1+8DlfElcddVqv3Zcp78hcKoZK4+Pm354qLd2Tq3o0GmiRIXV85iovWVer2dRjH5ZuHjk6af1P6L0dOWdYXRgHXE3Sz7s7j74Szve+Pk8uVdbB9aZzDaWq1h7/zu2hU+LrpPuXd4r+bu8VF5u6JzpNFFVNp5v5UYjaFcUWySEFdXpfyepFy2/nVUAhNdb6687OsBf3SINHrwRVuIisJQDrztqMQoqtuzGgAAGqxJREFUDWntIpWcJZS/IO/749Mtp3+Ja6NJ6iOxX4i4Ji7an689J9FFNf1xHFn3UaX4L59dpPXX5bLTrCglT69PzrjPi7SfmMg5miz1G2ffaew3aR5py1KsjWXZRuP8rd1uTHx6rpQvibuuUu2voO05opK5+vi05YuNdmdHR4sZO6XNP81YKYvri5G52GvSkDT9pHZRjJ46VxdGSdMRd7Mk9n44w/veWLk8eRfbhw5R+PCoUtg7v7t2hY+L7lPuHd6ruXt8VN6u6BxpdBGVtnfn/iKiMZQrik0S4uqqlN+TlMvWv45KYKLrzZWXfT2QHy2h2MhMvmgLUVEYyoG3HZUYpSGtXaSSs4TyF+R9QXy65fQvcW00SX0k9gsR18RF+/O15yS6qKY/jiPrPqoU/+Wzi7T+ulx2mhWl5On1yRn3eZH2ExM5R5OlfuPsO439Js0jbVmKtbEs22icv7XbjYlPz5XyJXHXVar9FbQ9R1QyVx+ftnyx0e7s6GgxY6e0+acZK2VxfTEyF3tNGpKmn9QuitFT25LCKGk64m6WxN4PZ3jfGyuXJ+9i+9AhCpetVZIt69STyahd4c1j+njSyCSlyGTnWwmi8nZF50iji6i0zd8A9/9JojGUM4pNEuLqqpTfk5TL1j9QGCkvKi99vSsqWJo2aJ/vkz3ruvK1o1KjNKS1izRyllJ+O+8k6ZbTv8TVZ5L6SOoXkkYeSvI9jS6q6Y/jyLqPKsV/+ewirQ8ol51mRSl5+nxy1n1elH0Afl/ui5BXbsppv0nzKEbGYmwsyzYa52/tukzS71fKl8RdV6n2Z8vZvhJYexsgBHDyNf4+Pm354qLd2TpP09emHbMB6eum1OuLkbnYa9KQNP2kdlGMnrasy48WbUbczZK4++Es73vj5PLlXWwfWkcw2hohhBBCCCGEEEII8cI9jwghhBBCCCGEEEJIyeSWL19ebRliWbFixfKrr7662mKUjy3rai+0n0+mLGQ104wKJ1mLerLJWj9ZhyLNEi1PsSGei82vlDZcazoslmrZc63qrBIy1oMeKo2tkygd1YP+SpHRdW3SvrBcclTSDrLy+1vWVSeMcz20z3ogSz3GpZ2F3ZRr3JE2FDvboJ9a72e0DJt+C/z394HeA8AH5lVHlmqSti7KWXflSKsW2lKZuemmm7YtX758Rdx5jXEnkDLjCvdX7XWSPpmykNVMMyqcZC3qySZr/aRJs9b0peUpNsRzsfmV0oZrTYfFUi17rlWdVULGetBDpbF14guD7jq3FvVXioyua4HiQlDXch+Rtd/fsi4/lPLTd1UmjHM9tM96IEs9xqWdhd2Ua9yRpE2zDSajmPqqhnx9BwAE28a88nv1N+k+lkOBtHVRzrorR1q10JaqCJetVZpaDO3nkykLWZOGk6xFPdlkrp+MQ5FmSVQozizzK6UN15oOi6Vq9lyjOquEjPWgh0pj68QXBt11bi3qrxQZY8P8pghBXct9RNZ+v3N1dcI410P7rAey1GNc2lnYTdnGHWlDsbMNeimmvqohH6z9hjtWVV6WapK2LspZd+VIqxbaUhXhw6NKU4uh/XwyZSFr0nCStagnm8z1k3Eo0iyJCsWZZX6ltOFa02GxVM2ea1RnlZCxHvRQaWyd+MKgu86tRf2VImNsmN8UIahruY/I2u+3LalOGOd6aJ/1QJZ6jEs7C7sp27gjbSh2tkEvxdRXNeSDyD8+48LKy1JN0tZFOeuuHGnVQluqIoy2Vg1qMbRfFuFpk+QF+NOvRT3ZZK2frEORZkmpIZ6Lza+UNlxrOiyWatlzreqsEjLWgx4qja2TKB3Vg/5KkTEuzC+QvZ+qpB1k5ferFca5HtpnPZClHuPSzsJuyjXuSBuKnW3QT633M1qGA+8B259TD46G05I1Tdq6KGfdlSOtWmhLZSZptDU+PCKEEEIIIYQQQggZhiR9eMRla8TNlnXA6u+ov4TUM3FtmW3dTxrdUI+FVFsnrvx9MlVb1uEEdZ2MauiJdaMotx6qqdehXqe1XL5akq2WZCFutqwDHrgOeOCvS6unNGOfUtIcpjDaGilkmO8iT4YQWUVgGQ4Mx0h15aTaOomL8JV1JD7ihrpORjX0xLpRlFsP1dTrUK/TWi5fLclWS7IQN+WKpplm7FNKmsO4/XDmESlkmO8iT4YQWUVgGQ4Mx0h15aTaOomN8JVxJD7ihrpORjX0xLpRlFsP1dTrUK/TWi5fLclWS7IQN+WKpplm7FNKmsMYzjwihehd5PUT1mG2izwZQsS1ZbZ1P2l0Qz0WUm2d+PJ3Hau2rMMJ6joZ1dAT60ZRbj1UU69DvU5ruXy1JFstyULc6MiDeuZRqZHQkox9Sk1zmMINs4mbIbiLPBmmZBWBZTgwHCPVlZNq6yQuwlfWkfiIG+o6GdXQE+tGUW49VFOvQ71Oa7l8tSRbLclC3JQrmmaasU8paQ4xGG2NEEIIIYQQQgghhHhhtDVCCCGEEEIIIYQQUjJ8eFRpGCaZEDLcob8jhBBCSL3CcUx5qTd91pu8ZYQbZlcSX6g/hgAkhAwX6O8IIYQQUq9wHFNe6k2f9SZvmeHDo0riCvU3bZH/OCGEDDXo70gKent7sXXrVhw4cKDaogxpWltbMXXqVDQ1NVVbFEIIqW04jikv9abPepO3zPDhUSXxhfpjCEBCyHCB/o6kYOvWrRgzZgza2toghKi2OEMSKSW6urqwdetWHH300dUWhxBCahuOY8pLvemz3uQtM4y2VmkYJpkQMtyhvyMJ6ejowPTp0/ngKGOklHjxxRcxY8aMaotCCCG1D8cx5aXe9Flv8iYgabQ1PjwihBBCSE3S0dHBBxoVgromhBBChidJHx4x2hohhBBCCCGEEEII8cKHR4SQ7BnGIS0JIfXP9u3b8ZnPfAYf/OAHMX/+fJx33nlYsWIFzj///GqLRgghhBBSEbhhNiEkW4Z5SEtCSGVZ//q7WPtqF0455hDMP2pCyelJKfHJT34SS5cuxT333AMAePbZZ3H//feXnDYhhBBCSL3AmUeEkGxxhbQkhJAMWP/6u7jsJ2vxnYdfwmU/WYv1r79bcpqPPfYYmpqa8Jd/+ZeDx+bOnYslS5Zg7969+PSnP43p06fjsssug95H8u///u+xcOFCzJ49G1dfffXg8TPOOANf/epXsWjRIhx//PFYvVr5w3379uHiiy/GzJkz8clPfhInn3wy9F6PDz/8ME499VScdNJJ+PM//3Ps3bu35DIRQgghhKSFD48IIdmiQ1qK3LAMaUkIqRxrX+1CT98ABiTQ2zeAta92lZzmhg0bMH/+fOdvTz/9NG655RZs3LgRr776Kh5//HEAwJe+9CU8+eST2LBhA/bv348HHnhg8Jq+vj6sW7cOt9xyC2666SYAwG233YYJEyZg48aN+Id/+AesX78eALBz5058/etfx+9+9zs89dRTWLBgAb773e+WXCZCCCGEkLRw2RohJFumLVJL1YZYSEtCSO1xyjGHoLmxAb19A2hqbMApxxySaX6LFi3C1KlTAQDz5s1DZ2cnTj/9dDz22GP41re+hX379mHXrl2YNWsWPvGJTwAAPvWpTwEA5s+fj87OTgDAmjVr8JWvfAUAMHv2bMyZMwcAsHbtWmzcuBGLFy8GAPT09ODUU0/NtEyEEEIIIS748IgQkj3TFvGhESEkc+YfNQF3ff6Usu55NGvWLNx7773O31paWgb/z+Vy6Ovrw4EDB/DFL34R7e3tmDZtGpYvX44DBw4UXKPPj0JKiY985CO4++67Sy4HIYQQQkgpcNkaIdWA0ccIISQT5h81Add++NiyPDgCgDPPPBMHDx7EihUrBo8999xzg/sV2egHRYceeij27t3rffBksnjxYvzyl78EAGzcuBHPP/88AOCUU07B448/js2bNwMAuru7sWnTppLKQwghhBBSDJx5REilYfQxQgipG4QQ+PWvf43rrrsO3/zmN9Ha2oq2tjZcdNFFzvPHjx+Pq666CrNnz8aUKVOwcOHC2Dy++MUvYunSpZg5cyamT5+OWbNmYdy4cZg0aRJWrlyJSy+9FAcPHgQAfP3rX8fxxx9f1jISQgghhMQhdASQWmbBggVSRx0hpO5Z/R3g9/+ooo+JHHDm14Aly6otFSGE1BwdHR2YMWNGtcXInP7+fvT29qK1tRWvvPIKzj77bLz00ktobm6umAzDRdeEEEIIyUcIsV5KuSDuPM48IqTS6OhjeuYRo48RQsiwZt++ffjwhz+M3t5eSClx2223VfTBESGEEEJIHHx4REilYfQxQgghBmPGjAFnWBNCCCGkluHDI0KqAaOPEUIIIYQQQgipExhtjRBCCCGEEEIIIYR44cMjQgghhBBCCCGEEOKFD48IIYQQQgghhBBCiBc+PCKEEEII8SCEwLJlywa/f/vb38by5ctTpfHQQw9hwYIFmDlzJk488cTB9K644grce++95RSXEEIIISQT+PCIEEIIIUOHLeuA1d9Rf8tAS0sL7rvvPuzcubOo6zds2IAvfelL+PnPf46NGzeivb0dxx57bFlkI4QQQgipFHx4RAghhJChwZZ1wB0XAL//R/W3DA+QGhsbcfXVV+N73/tewW+dnZ0488wzMWfOHJx11ll44403Cs751re+ha997WuYPn06ACCXy+Gaa64Z/P2Pf/wjTjvtNBxzzDGDs5D27t2Ls846CyeddBJOOOEErFq1ajC/GTNm4KqrrsKsWbPw0Y9+FPv37wcAPPnkk5gzZw7mzZuH66+/HrNnzwYA9Pf34/rrr8fChQsxZ84c/OhHPypZJ4QQQggZfmT28EgI8W9CiHeEEBuMYxOFEI8IIV4O/k7IKn9CCCGEDDM6VwP9PYDsV387V5cl2WuvvRZ33XUX9uzZk3f8r/7qr7B06VI899xzuOyyy/DlL3+54NoNGzZg/vz53rS3bduGNWvW4IEHHsANN9wAAGhtbcWvf/1rPPXUU3jsscewbNkySCkBAC+//DKuvfZavPDCCxg/fjx+9atfAQCuvPJK/OhHP8IzzzyDXC43mP7tt9+OcePG4cknn8STTz6JH//4x3jttddK1gkhhBBChhdZzjxaCeBc69gNAB6VUh4H4NHgOyGEEEJI6bQtAXLNgMipv21LypLs2LFjcfnll+P73/9+3vE//elP+Iu/+AsAwGc/+1msWbMmddoXXXQRGhoaMHPmTLz99tsAACkl/vZv/xZz5szB2WefjTfffHPwt6OPPhrz5s0DAMyfPx+dnZ3YvXs33n//fZx66qkAMCgTADz88MO48847MW/ePJx88sno6urCyy+/nF4JhBBCCBnWNGaVsJTyj0KINuvwhQDOCP6/A8AfAHw1KxkIIYQQMoyYtghYer+acdS2RH0vE9dddx1OOukkXHnllamumzVrFtavX4+5c+c6f29paRn8X88uuuuuu7Bjxw6sX78eTU1NaGtrw4EDBwrOz+Vyg8vWfEgp8YMf/ADnnHNOKrkJIYQQQkwqvefRYVLKbcH/2wEc5jtRCHG1EKJdCNG+Y8eOykhHCCGEkPpm2iJgybKyPjgCgIkTJ+Liiy/G7bffPnjstNNOwz333ANAPfBZsqRwptP111+Pb3zjG9i0aRMAYGBgAP/6r/8amdeePXswefJkNDU14bHHHsPrr78eef748eMxZswYPPHEEwAwKBMAnHPOOfjhD3+I3t5eAMCmTZvQ3d2doMSEEEIIISFV2zBbqtdrMuL3FVLKBVLKBZMmTaqgZIQQQgghhSxbtiwv6toPfvAD/PSnP8WcOXPws5/9DLfeemvBNXPmzMEtt9yCSy+9FDNmzMDs2bPx6quvRuZz2WWXob29HSeccALuvPPOwc22o7j99ttx1VVXYd68eeju7sa4ceMAAJ///Ocxc+ZMnHTSSZg9eza+8IUvoK+vL2XJCSGEEDLcEXqKdCaJq2VrD0gpZwffXwJwhpRymxDicAB/kFJ+KC6dBQsWyPb29szkJIQQQkjt0dHRgRkzZlRbjLpg7969GD16NADg5ptvxrZt25wPs3xQ14QQQsjwRAixXkq5IO68Ss88uh/A0uD/pQBWVTh/QgghhJAhx4MPPoh58+Zh9uzZWL16Nf7u7/6u2iIRQgghZAiR2YbZQoi7oTbHPlQIsRXAjQBuBvBLIcTnALwO4OKs8ieEEEIIGS5ccskluOSSS6otBiGEEEKGKFlGW7vU89NZWeVJCCGEkKGFlBJCiGqLMaTJcgsDQgghhAwNqrZhNiGEEEJIFK2trejq6uLDjQyRUqKrqwutra3VFoUQQgghNUxmM48IIYQQQkph6tSp2Lp1K3bs2FFtUYY0ra2tmDp1arXFIIQQQkgNw4dHhBBCCKlJmpqacPTRR1dbDEIIIYSQYQ+XrRFCCCGEEEIIIYQQL3x4RAghhBBCCCGEEEK88OERIYQQQgghhBBCCPEi6iGCiRBiB4DXqy1HmTgUwM5qC0FIjUM7ISQZtBVCkkFbISQZtBVCkjGUbOUoKeWkuJPq4uHRUEII0S6lXFBtOQipZWgnhCSDtkJIMmgrhCSDtkJIMoajrXDZGiGEEEIIIYQQQgjxwodHhBBCCCGEEEIIIcQLHx5VnhXVFoCQOoB2QkgyaCuEJIO2QkgyaCuEJGPY2Qr3PCKEEEIIIYQQQgghXjjziBBCCCGEEEIIIYR44cMjQgghhBBCCCGEEOKFD48qhBDiXCHES0KIzUKIG6otDyFZIISYJoR4TAixUQjxghDiK8HxiUKIR4QQLwd/JwTHhRDi+4FdPCeEOMlIa2lw/stCiKXG8flCiOeDa74vhBBReRBSywghckKIp4UQDwTfjxZCPBG0718IIZqD4y3B983B721GGv87OP6SEOIc47iz3/HlQUitIoQYL4S4VwjxohCiQwhxKvsVQgoRQvx1MP7aIIS4WwjRyn6FEEAI8W9CiHeEEBuMY1XrR6LyqGX48KgCCCFyAP4FwMcAzARwqRBiZnWlIiQT+gAsk1LOBHAKgGuDtn4DgEellMcBeDT4DiibOC74XA3gh4BytABuBHAygEUAbjQG7T8EcJVx3bnBcV8ehNQyXwHQYXz/JoDvSSmPBfAugM8Fxz8H4N3g+PeC8xDY12cAzIKyhduEeiAV1e/48iCkVrkVwH9KKacDmAtlM+xXCDEQQhwB4MsAFkgpZwPIQfUP7FcIAVYi9O2aavYjzjxqHT48qgyLAGyWUr4qpewBcA+AC6ssEyFlR0q5TUr5VPD/+1AD/COg2vsdwWl3ALgo+P9CAHdKxVoA44UQhwM4B8AjUspdUsp3ATwC4Nzgt7FSyrVS7fZ/p5WWKw9CahIhxFQAHwfwk+C7AHAmgHuDU2xb0e37XgBnBedfCOAeKeVBKeVrADZD9TnOficmD0JqDiHEOAB/BuB2AJBS9kgpd4P9CiEuGgGMEEI0AhgJYBvYrxACKeUfAeyyDlezH/HlUdPw4VFlOALAFuP71uAYIUOWYPrziQCeAHCYlHJb8NN2AIcF//tsI+r4VsdxRORBSK1yC4C/ATAQfD8EwG4pZV/w3WzfgzYR/L4nOD+tDUXlQUgtcjSAHQB+KtQSz58IIUaB/QoheUgp3wTwbQBvQD002gNgPdivEOKjmv1IXT4f4MMjQkjZEUKMBvArANdJKd8zfwueyMss869EHoSUghDifADvSCnXV1sWQmqcRgAnAfihlPJEAN2wlo+xXyEECJbPXAj1wPUDAEahcJkOIcQB+5Fk8OFRZXgTwDTj+9TgGCFDDiFEE9SDo7uklPcFh9/WUzGDv+8Ex322EXV8quN4VB6E1CKLAVwghOiEmvp/JtS+LuOD5QZAfvsetIng93EAupDehroi8iCkFtkKYKuU8ong+71QD5PYrxCSz9kAXpNS7pBS9gK4D6qvYb9CiJtq9iN1+XyAD48qw5MAjgsiETRDbUJ3f5VlIqTsBOvebwfQIaX8rvHT/QB0RIKlAFYZxy8PIg6cAmBPMLXztwA+KoSYELxJ+yiA3wa/vSeEOCXI63IrLVcehNQcUsr/LaWcKqVsg+oTfi+lvAzAYwA+HZxm24pu358OzpfB8c8IFTXnaKiNF9fB0+8E1/jyIKTmkFJuB7BFCPGh4NBZADaC/QohNm8AOEUIMTJoy9pW2K8Q4qaa/Ygvj9pGSslPBT4AzgOwCcArAL5WbXn44SeLD4DToaZjPgfgmeBzHtR6+EcBvAzgdwAmBucLqMgdrwB4HipCiE7rf0Ft0rgZwJXG8QUANgTX/DMAERx35sEPP7X+AXAGgAeC/4+BGqRvBvB/AbQEx1uD75uD348xrv9aYA8vAfiYcdzZ7/jy4IefWv0AmAegPehb/h+ACexX+OGn8APgJgAvBu35ZwBa2K/ww48EgLuh9gLrhZrR+rlq9iNRedTyRxeKEEIIIYQQQgghhJACuGyNEEIIIYQQQgghhHjhwyNCCCGEEEIIIYQQ4oUPjwghhBBCCCGEEEKIFz48IoQQQgghhBBCCCFe+PCIEEIIIYQQQgghhHjhwyNCCCGEkBiEEIcIIZ4JPtuFEG8a35utc38rhBgTk95WIcT4bKUmhBBCCCkPQkpZbRkIIYQQQuoGIcRyAHullN+2jguosdVAgjS2ApgtpdydjZSEEEIIIeWDM48IIYQQQopECHGsEGKjEOIuAC8AONycVSSE+A8hxHohxAtCiM9XV1pCCCGEkOJorLYAhBBCCCF1znQAl0sp2wFATUAaZKmUcpcQYiSAdiHEr6SU71ZDSEIIIYSQYuHMI0IIIYSQ0nhFPzhy8NdCiGcB/AnAVAAfrJxYhBBCCCHlgTOPCCGEEEJKo9t1UAhxNoA/A3CKlHK/EGINgNaKSkYIIYQQUgY484gQQgghJBvGAdgVPDiaBWBhtQUihBBCCCkGPjwihBBCCMmGBwGMFEJsBPB1AE9UWR5CCCGEkKIQUspqy0AIIYQQQgghhBBCahTOPCKEEEIIIYQQQgghXvjwiBBCCCGEEEIIIYR44cMjQgghhBBCCCGEEOKFD48IIYQQQgghhBBCiBc+PCKEEEIIIYQQQgghXvjwiBBCCCGEEEIIIYR44cMjQgghhBBCCCGEEOLl/wMbWGMLGMdrwgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20, 10))\n",
"plt.plot(result_change, '.', label='Change')\n",
"plt.plot(result_nochange, '.', label='No Change')\n",
"plt.legend()\n",
"plt.title('Monty Hall Dilemma Simulation')\n",
"plt.xlabel('Trial')\n",
"plt.ylabel('? / 100')"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(result_change, label='Change', bins=30);\n",
"plt.hist(result_nochange, label='No Change', bins=30);\n",
"plt.legend()\n",
"plt.title('Monty Hall Dilemma Simulation Histogram');\n",
"plt.xlabel('Success Number');\n",
"plt.ylabel('Count');"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"선택 바꿨을 때 평균 66.662971\n",
"선택 유지했을 때 평균 33.336294\n"
]
}
],
"source": [
"print(\"선택 바꿨을 때 평균\", np.mean(result_change))\n",
"print(\"선택 유지했을 때 평균\", np.mean(result_nochange))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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