From 63dcc1b30361afffb96a41035030978054ade5f5 Mon Sep 17 00:00:00 2001 From: Matthew Wallach Date: Tue, 7 Oct 2025 09:54:41 -0400 Subject: [PATCH 1/5] Update rabbits-and-foxes-kmc-question.ipynb --- rabbits-and-foxes-kmc-question.ipynb | 86 ++++++++++++++++++++++++++-- 1 file changed, 81 insertions(+), 5 deletions(-) diff --git a/rabbits-and-foxes-kmc-question.ipynb b/rabbits-and-foxes-kmc-question.ipynb index 657efb4..fc4b8df 100644 --- a/rabbits-and-foxes-kmc-question.ipynb +++ b/rabbits-and-foxes-kmc-question.ipynb @@ -71,21 +71,97 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 42, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "time = 0\n", + "\n", + "rabbit = 400\n", + "fox = 200\n", + "end_time = 600\n", + "\n", + "k1 = 0.015 # rabbits birth per day\n", + "k2 = 0.00004 # rabbits death per day per fox\n", + "k3 = 0.0004 # foxes birth per rabbit per day\n", + "k4 = 0.04 # foxes death per day\n", + "\n", + "times = [time]\n", + "rabbits = [rabbit]\n", + "foxes = [fox]\n", + "\n", + "\n", + "while time < end_time:\n", + " rate_rb = k1 * rabbit\n", + " rate_rd = k2 * rabbit * fox\n", + " rate_fb = k3 * rabbit * fox\n", + " rate_fd = k4 * fox\n", + "\n", + " rates = np.array([rate_rb, rate_rd, rate_fb, rate_fd]) #array listing each indiviidual rate\n", + "\n", + " cumulative_rates=rates.cumsum() #cumulative sum of rates\n", + " total_rate=cumulative_rates[-1] #total rate is last element of cumulative sum\n", + " \n", + " u = np.random.uniform(0,1) #random number between 0 and 1\n", + " for i, cum_rates in enumerate(cumulative_rates): #tries to unpack the same name\n", + " if cum_rates / total_rate > u: #if the cumulative rate divided by total rate is greater than random number\n", + " event = i #event is the index of the rate that was selected\n", + " break\n", + " #carry out events\n", + " if event == 0: # rabbit birth\n", + " rabbit += 1\n", + " elif event == 1: # rabbit death\n", + " rabbit -= 1\n", + " elif event == 2: # fox birth\n", + " fox += 1\n", + " elif event == 3: # fox death\n", + " fox -= 1\n", + " else:\n", + " raise ValueError(\"event not in 0,1,2,3\") #defense programming\n", + " \n", + " dt = -np.log(np.random.uniform(0,1)) / total_rate\n", + " time += dt\n", + "\n", + " times.append(time)\n", + " rabbits.append(rabbit)\n", + " foxes.append(fox)\n", + " # break #breaks loop till i finish it\n", + "\n", + "\n", + "\n", + "# plt.figure(figsize=(10,6))\n", + "plt.plot(times, rabbits, label='Rabbits')\n", + "plt.plot(times, foxes, label='Foxes')\n", + "plt.xlabel('Time (days)')\n", + "plt.ylabel('Population')\n", + "plt.legend()\n", + "plt.title('Rabbit and Fox Populations Over Time')\n", + "plt.grid(True)\n", + "plt.show()" + ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "5137", + "display_name": "base", "language": "python", "name": "python3" }, @@ -99,7 +175,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.5" + "version": "3.12.4" } }, "nbformat": 4, From 0f6234c5c72aacf064d3835aa0e6ae4edd1ab9a5 Mon Sep 17 00:00:00 2001 From: Azeez Akinyemi Date: Tue, 7 Oct 2025 10:21:11 -0400 Subject: [PATCH 2/5] Added few comments at the beginning of the code --- rabbits-and-foxes-kmc-question.ipynb | 35 +++++++++++++++++----------- 1 file changed, 21 insertions(+), 14 deletions(-) diff --git a/rabbits-and-foxes-kmc-question.ipynb b/rabbits-and-foxes-kmc-question.ipynb index fc4b8df..a43306d 100644 --- a/rabbits-and-foxes-kmc-question.ipynb +++ b/rabbits-and-foxes-kmc-question.ipynb @@ -71,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 21, "metadata": { "collapsed": true, "jupyter": { @@ -81,7 +81,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -92,27 +92,27 @@ ], "source": [ "\n", - "time = 0\n", + "time = 0 # start time\n", "\n", - "rabbit = 400\n", - "fox = 200\n", - "end_time = 600\n", + "rabbit = 400 # initial number of rabbits\n", + "fox = 200 # initial number of foxes\n", + "end_time = 600 # end time in days\n", "\n", "k1 = 0.015 # rabbits birth per day\n", "k2 = 0.00004 # rabbits death per day per fox\n", "k3 = 0.0004 # foxes birth per rabbit per day\n", "k4 = 0.04 # foxes death per day\n", "\n", - "times = [time]\n", - "rabbits = [rabbit]\n", - "foxes = [fox]\n", + "times = [time] #list of times\n", + "rabbits = [rabbit] #list of rabbits\n", + "foxes = [fox] #list of foxes\n", "\n", "\n", - "while time < end_time:\n", - " rate_rb = k1 * rabbit\n", - " rate_rd = k2 * rabbit * fox\n", - " rate_fb = k3 * rabbit * fox\n", - " rate_fd = k4 * fox\n", + "while time < end_time: #while time is less than end time\n", + " rate_rb = k1 * rabbit #rate of rabbit birth\n", + " rate_rd = k2 * rabbit * fox #rate of rabbit death\n", + " rate_fb = k3 * rabbit * fox #rate of fox birth\n", + " rate_fd = k4 * fox #rate of fox death\n", "\n", " rates = np.array([rate_rb, rate_rd, rate_fb, rate_fd]) #array listing each indiviidual rate\n", "\n", @@ -156,6 +156,13 @@ "plt.grid(True)\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From aae217848cd6335752dabae5986ddeee26150043 Mon Sep 17 00:00:00 2001 From: robertsjake16 Date: Tue, 7 Oct 2025 10:29:43 -0400 Subject: [PATCH 3/5] Update rabbits-and-foxes-kmc-question.ipynb Added loop --- rabbits-and-foxes-kmc-question.ipynb | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/rabbits-and-foxes-kmc-question.ipynb b/rabbits-and-foxes-kmc-question.ipynb index a43306d..f54b502 100644 --- a/rabbits-and-foxes-kmc-question.ipynb +++ b/rabbits-and-foxes-kmc-question.ipynb @@ -93,7 +93,7 @@ "source": [ "\n", "time = 0 # start time\n", - "\n", + "nofox = 0\n", "rabbit = 400 # initial number of rabbits\n", "fox = 200 # initial number of foxes\n", "end_time = 600 # end time in days\n", @@ -144,6 +144,9 @@ " foxes.append(fox)\n", " # break #breaks loop till i finish it\n", "\n", + "if fox == 0:\n", + " nofox = nofox + 1\n", + " print(\"All foxes have died out.\") \n", "\n", "\n", "# plt.figure(figsize=(10,6))\n", From a822df549ec533222551bd368d8b8ba71672ea1e Mon Sep 17 00:00:00 2001 From: Matthew Wallach Date: Tue, 7 Oct 2025 10:46:34 -0400 Subject: [PATCH 4/5] Update rabbits-and-foxes-kmc-question.ipynb put KMC in loop, have fox extinction probability tracker --- rabbits-and-foxes-kmc-question.ipynb | 131 ++++++++++++++++----------- 1 file changed, 80 insertions(+), 51 deletions(-) diff --git a/rabbits-and-foxes-kmc-question.ipynb b/rabbits-and-foxes-kmc-question.ipynb index f54b502..88c3264 100644 --- a/rabbits-and-foxes-kmc-question.ipynb +++ b/rabbits-and-foxes-kmc-question.ipynb @@ -23,7 +23,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -71,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": { "collapsed": true, "jupyter": { @@ -79,9 +79,26 @@ } }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/g2/952p13z52778dhc3c0r5vnfm0000gn/T/ipykernel_3175/1574732756.py:36: RuntimeWarning: invalid value encountered in scalar divide\n", + " if cum_rates / total_rate > u: #if the cumulative rate divided by total rate is greater than random number\n", + "/var/folders/g2/952p13z52778dhc3c0r5vnfm0000gn/T/ipykernel_3175/1574732756.py:53: RuntimeWarning: divide by zero encountered in scalar divide\n", + " dt = -np.log(np.random.uniform(0,1)) / total_rate\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of extinctions: 69\n" + ] + }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -92,62 +109,74 @@ ], "source": [ "\n", - "time = 0 # start time\n", "nofox = 0\n", - "rabbit = 400 # initial number of rabbits\n", - "fox = 200 # initial number of foxes\n", - "end_time = 600 # end time in days\n", "\n", - "k1 = 0.015 # rabbits birth per day\n", - "k2 = 0.00004 # rabbits death per day per fox\n", - "k3 = 0.0004 # foxes birth per rabbit per day\n", - "k4 = 0.04 # foxes death per day\n", + "runs = 100\n", "\n", - "times = [time] #list of times\n", - "rabbits = [rabbit] #list of rabbits\n", - "foxes = [fox] #list of foxes\n", + "for i in range (runs):\n", + " time = 0 # start time\n", "\n", "\n", - "while time < end_time: #while time is less than end time\n", - " rate_rb = k1 * rabbit #rate of rabbit birth\n", - " rate_rd = k2 * rabbit * fox #rate of rabbit death\n", - " rate_fb = k3 * rabbit * fox #rate of fox birth\n", - " rate_fd = k4 * fox #rate of fox death\n", + " rabbit = 400 # initial number of rabbits\n", + " fox = 200 # initial number of foxes\n", + " end_time = 600 # end time in days\n", "\n", - " rates = np.array([rate_rb, rate_rd, rate_fb, rate_fd]) #array listing each indiviidual rate\n", + " k1 = 0.015 # rabbits birth per day\n", + " k2 = 0.00004 # rabbits death per day per fox\n", + " k3 = 0.0004 # foxes birth per rabbit per day\n", + " k4 = 0.04 # foxes death per day\n", "\n", - " cumulative_rates=rates.cumsum() #cumulative sum of rates\n", - " total_rate=cumulative_rates[-1] #total rate is last element of cumulative sum\n", + " times = [time] #list of times\n", + " rabbits = [rabbit] #list of rabbits\n", + " foxes = [fox] #list of foxes\n", + " \n", " \n", - " u = np.random.uniform(0,1) #random number between 0 and 1\n", - " for i, cum_rates in enumerate(cumulative_rates): #tries to unpack the same name\n", - " if cum_rates / total_rate > u: #if the cumulative rate divided by total rate is greater than random number\n", - " event = i #event is the index of the rate that was selected\n", - " break\n", - " #carry out events\n", - " if event == 0: # rabbit birth\n", - " rabbit += 1\n", - " elif event == 1: # rabbit death\n", - " rabbit -= 1\n", - " elif event == 2: # fox birth\n", - " fox += 1\n", - " elif event == 3: # fox death\n", - " fox -= 1\n", - " else:\n", - " raise ValueError(\"event not in 0,1,2,3\") #defense programming\n", - " \n", - " dt = -np.log(np.random.uniform(0,1)) / total_rate\n", - " time += dt\n", - "\n", - " times.append(time)\n", - " rabbits.append(rabbit)\n", - " foxes.append(fox)\n", - " # break #breaks loop till i finish it\n", - "\n", - "if fox == 0:\n", - " nofox = nofox + 1\n", - " print(\"All foxes have died out.\") \n", - "\n", + " while time < end_time: #while time is less than end time\n", + " rate_rb = k1 * rabbit #rate of rabbit birth\n", + " rate_rd = k2 * rabbit * fox #rate of rabbit death\n", + " rate_fb = k3 * rabbit * fox #rate of fox birth\n", + " rate_fd = k4 * fox #rate of fox death\n", + "\n", + " rates = np.array([rate_rb, rate_rd, rate_fb, rate_fd]) #array listing each indiviidual rate\n", + "\n", + " cumulative_rates=rates.cumsum() #cumulative sum of rates\n", + " total_rate=cumulative_rates[-1] #total rate is last element of cumulative sum\n", + " \n", + " u = np.random.uniform(0,1) #random number between 0 and 1\n", + " for i, cum_rates in enumerate(cumulative_rates): #tries to unpack the same name\n", + " if cum_rates / total_rate > u: #if the cumulative rate divided by total rate is greater than random number\n", + " event = i #event is the index of the rate that was selected\n", + " break #breaks loop till i finish it\n", + " #carry out events\n", + " \n", + "\n", + " if event == 0: # rabbit birth\n", + " rabbit += 1\n", + " elif event == 1: # rabbit death\n", + " rabbit -= 1\n", + " elif event == 2: # fox birth\n", + " fox += 1\n", + " elif event == 3: # fox death\n", + " fox -= 1\n", + " else:\n", + " raise ValueError(\"event not in 0,1,2,3\") #defense programming\n", + " \n", + " dt = -np.log(np.random.uniform(0,1)) / total_rate\n", + " time += dt\n", + "\n", + " times.append(time)\n", + " rabbits.append(rabbit)\n", + " foxes.append(fox)\n", + "\n", + " i = i +1\n", + " # break #breaks loop till i finish it\n", + "\n", + " if fox == 0:\n", + " nofox = nofox + 1\n", + " # print(\"All foxes have died out.\") \n", + "\n", + "prob = nofox / runs\n", + "print(\"Probability of fox extinction: \", prob)\n", "\n", "# plt.figure(figsize=(10,6))\n", "plt.plot(times, rabbits, label='Rabbits')\n", From d00c42ce2a2f0593a046290169c389247cd347b8 Mon Sep 17 00:00:00 2001 From: Matthew Wallach Date: Tue, 7 Oct 2025 21:12:14 -0400 Subject: [PATCH 5/5] Update rabbits-and-foxes-kmc-question.ipynb --- rabbits-and-foxes-kmc-question.ipynb | 41 ++++++++++++---------------- 1 file changed, 18 insertions(+), 23 deletions(-) diff --git a/rabbits-and-foxes-kmc-question.ipynb b/rabbits-and-foxes-kmc-question.ipynb index 88c3264..9505892 100644 --- a/rabbits-and-foxes-kmc-question.ipynb +++ b/rabbits-and-foxes-kmc-question.ipynb @@ -23,7 +23,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 91, "metadata": {}, "outputs": [], "source": [ @@ -71,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 95, "metadata": { "collapsed": true, "jupyter": { @@ -79,26 +79,16 @@ } }, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/g2/952p13z52778dhc3c0r5vnfm0000gn/T/ipykernel_3175/1574732756.py:36: RuntimeWarning: invalid value encountered in scalar divide\n", - " if cum_rates / total_rate > u: #if the cumulative rate divided by total rate is greater than random number\n", - "/var/folders/g2/952p13z52778dhc3c0r5vnfm0000gn/T/ipykernel_3175/1574732756.py:53: RuntimeWarning: divide by zero encountered in scalar divide\n", - " dt = -np.log(np.random.uniform(0,1)) / total_rate\n" - ] - }, { "name": "stdout", "output_type": "stream", "text": [ - "Number of extinctions: 69\n" + "Probability of fox extinction: 0.68\n" ] }, { "data": { - "image/png": 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", + "image/png": 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fLfG6EAKbN2+Gm5sbwsLCDNtffPFFzJ8/H+vXr8eQIUOwefNmTJkyBVKp1NDGw8MDLVq0wMcff1zqexcXwsWsfS0rQP+Z7OzsSj1Zo/h1sh7saaIaZd68eXB1dcX7779vmFQqkUigUCiMfoGmpqaWefbc33//bXT2nVarxYYNG9CgQYMSf5DWrFlj9Dw2NhaXLl164BlU9/6v/n6KF++8+49Hfn4+fvjhB5P2L023bt3K/JzmEB4eDjs7O6OJxYB+HaV//vkHPXr0MGyLiYnBnDlz8O677yImJgYqlQpDhgxBUVHRQ8fh4OCAdu3aYePGjUb51ul0WL16NerWrWt00gBg2ndar149HDlyxKjdmTNnSgz1lUYikZQ47f3333/HlStXjLYVtzHl56R79+4AUCLfcXFxOHnypFG+K8LFxQVPP/00Xn75Zdy6deu+i5+OGTMGXl5emDFjRomhY0D/b/TUqVN44403jIbOmjRpgnbt2mHlypVYu3YtCgsLSywbEhERgWPHjqFBgwZGPZzFt3uLpuogIiIC58+fh7u7e6mf6d6Fccmy2NNENYqrqytmzJiBN954A2vXrsXzzz+PiIgIbNy4ERMnTsTTTz+NpKQkfPjhh/D19S119XAPDw90794d7733HhwcHPDll1/i1KlTpS47cODAAYwZMwbPPPMMkpKS8M4776BOnTqYOHHifeNs3rw5duzYgS1btsDX1xdOTk4ICQkpte3jjz+OBQsWYNiwYRg3bhxu3ryJTz/9tMQf3vJ49913sXnzZnTv3h3vv/8+7O3t8b///c9spzi7uLjgvffew9tvv40XXngBQ4cOxc2bNzFr1izY2tpi5syZAPQ9I88//zy6dOmCmTNnwsbGBhs2bEDnzp3xxhtvYNGiRQ8dy5w5c9CrVy9069YN06ZNg0KhwJdffoljx45h3bp1JXojTPlOhw8fjueffx4TJ07E//3f/+HSpUuYN2+e4Yy9+4mIiMCqVavQuHFjtGjRAvHx8Zg/f36JgrxBgwaws7PDmjVr0KRJEzg6OsLPz6/UwiAkJATjxo3D4sWLYWNjg379+uHixYt477334O/vj9dee63ceRswYIBhHTRPT09cunQJixYtQmBgIIKDg8vcz8XFBRs3bkRERATCwsIwffp0tGzZEllZWdiwYQPWrFmDIUOGYPr06SX2HTVqFMaPH4+rV6+iQ4cOJf5NfPDBB4iJiUGHDh0wefJkhISEoKCgABcvXsS2bdvw1VdfWe36VWWZMmUKfvnlF3Tu3BmvvfYaWrRoAZ1Oh8uXLyM6Ohqvv/462rVrZ+kwqZhl56ETVUzxmU73nnEihP5ssYCAABEcHCw0Go0QQoi5c+eKevXqCaVSKZo0aSKWL19e4gwkIfRnz7388sviyy+/FA0aNBByuVw0btxYrFmzptT3j46OFsOHDxcuLi6Gs8XOnj1r1La0s+cSEhJEx44dhb29vQBgdMZVab799lsREhIilEqlqF+/vpgzZ45YsWJFiTPdAgMDxeOPP15i/3vP6hJCf1ZY+/bthVKpFD4+PmL69Oni66+/LtfZc9evX79vu2+++Ua0aNFCKBQKoVKpxBNPPGE4w0mj0YguXboIb29vkZKSYrTf/PnzBQCxadOm+x6/rM97r3///Vd0795dODg4CDs7O9G+fXuxZcsWozbl+U51Op2YN2+eqF+/vrC1tRVt2rQR//zzj0lnz6Wnp4vRo0cLLy8vYW9vLzp16iT+/fffUr+jdevWicaNGwu5XC4AiJkzZwohSp49J4T+rMpPPvlENGrUSMjlcuHh4SGef/55kZSUZNSuS5cuolmzZiVydO/P6WeffSY6dOggPDw8hEKhEAEBAWL06NHi4sWLD8i23uXLl8XLL78s6tevb/j+O3fuLFavXm10xufdMjMzhZ2dnQAgli9fXmqb69evi8mTJ4ugoCAhl8uFm5ubCAsLE++8847IyckRQtz/DLgHqejZc/f+WxgxYoRwcHAocYzS8p+TkyPeffddERISYshV8+bNxWuvvWZ0hitZnkQILgJBRLRq1Sq8+OKLiIuLK3OOFBHVbpzTRERERGQCFk1EREREJuDwHBEREZEJ2NNEREREZAIWTUREREQmYNFEREREZAKLLm65a9cuzJ8/H/Hx8UhJScGmTZvw5JNPAgDUajXeffddbNu2DRcuXIBKpULPnj0xd+5co8XdCgsLMW3aNKxbtw75+fno0aMHvvzyS6MFztLT0zF58mRs3rwZgP4ijosXLza6ZMHly5fx8ssv459//oGdnR2GDRuGTz/9FAqFwuTPo9PpcPXqVTg5OVWL5fuJiIhIf3mf7Oxs+Pn5wcbmPv1Jllwkatu2beKdd94Rv/zyS4mF7DIyMkTPnj3Fhg0bxKlTp8SePXtEu3btRFhYmNExJkyYIOrUqSNiYmLEwYMHRbdu3UTLli0NixoKIUTfvn1FaGioiI2NFbGxsSI0NFREREQYXtdoNCI0NFR069ZNHDx4UMTExAg/Pz/xyiuvlOvzJCUlCQC88cYbb7zxxls1vN27GOy9rObsOYlEYtTTVJq4uDi0bdsWly5dQkBAADIzM+Hp6YkffvgBQ4YMAaC/OKW/vz+2bduGPn364OTJk2jatCn27t1rWIp+7969CA8Px6lTpxASEoI//vgDERERSEpKMvRirV+/HiNHjkRaWhqcnZ1N+gyZmZlwcXFBUlKSyfuYQq1WIzo6Gr179za6VhOVxFyZjrkqH+bLdMyV6Zgr01VmrrKysuDv74+MjAyoVKoy21Wra89lZmZCIpEYhtXi4+OhVqvRu3dvQxs/Pz+EhoYiNjYWffr0wZ49e6BSqYyu3dO+fXuoVCrExsYiJCQEe/bsQWhoqNGwX58+fVBYWIj4+Hh069bNpPiKh+ScnZ3NXjTZ29vD2dmZ/6gegLkyHXNVPsyX6Zgr0zFXpquKXD1oak21KZoKCgrw1ltvYdiwYYaCJDU1FQqFAq6urkZtvb29kZqaamjj5eVV4nheXl5Gbby9vY1ed3V1hUKhMLQpTWFhIQoLCw3Ps7KyAOi/WLVaXYFPWbriY5nzmDUVc2U65qp8mC/TMVemY65MV5m5MvWY1aJoUqvVePbZZ6HT6fDll18+sL0QwqhaLK1yrEibe82ZMwezZs0qsT06Ohr29vYPjLO8YmJizH7Mmoq5Mh1zVT7Ml+mYK9MxV6arjFzl5eWZ1M7qiya1Wo3BgwcjMTER//zzj9Gwl4+PD4qKipCenm7U25SWloYOHToY2ly7dq3Eca9fv27oXfLx8cG+ffuMXk9PT4darS7RA3W3GTNmYOrUqYbnxWOivXv3NvvwXExMDHr16sXu2wdgrkzHXJUP82U65sp0zJXpKjNXxSNFD2LVRVNxwXT27Fls374d7u7uRq+HhYVBLpcjJiYGgwcPBgCkpKTg2LFjmDdvHgAgPDwcmZmZ2L9/P9q2bQsA2LdvHzIzMw2FVXh4OD7++GOkpKTA19cXgL63SKlUIiwsrMz4lEollEplie1yubzML1Sn06GoqKhcedBqtZDJZNBqtfc/FZLKlSu5XA6pVFpFkVmv+/28UknMl+mYK9MxV6arjFyZejyLFk05OTk4d+6c4XliYiISEhLg5uYGPz8/PP300zh48CC2bt0KrVZrmF/k5uYGhUIBlUqF0aNH4/XXX4e7uzvc3Nwwbdo0NG/eHD179gQANGnSBH379sXYsWOxbNkyAMC4ceMQERGBkJAQAEDv3r3RtGlTDB8+HPPnz8etW7cwbdo0jB071qw9RkVFRUhMTIROpyvXfkII+Pj4ICkpies/PUB5c+Xi4gIfHx/mlYiIHsiiRdOBAweMzkwrHuoaMWIEIiMjDYtRtmrVymi/7du3o2vXrgCAhQsXQiaTYfDgwYbFLVetWmXUg7BmzRpMnjzZcJbdwIEDsWTJEsPrUqkUv//+OyZOnIiOHTsaLW5pLkIIpKSkQCqVwt/fv1w9RjqdDjk5OXB0dGRP0wOYmishBPLy8pCWlgYAhh5GIiKisli0aOratSvut0yUKUtI2draYvHixVi8eHGZbdzc3LB69er7HicgIABbt2594PtVlEajQV5eHvz8/Mo9Sbx4SM/W1pZF0wOUJ1d2dnYA9HPgvLy8OFRHRET3xb/AVUSr1QJAuS7LQpWvuIDl6b5ERPQgLJqqGOfOWBd+H0REZCoWTUREREQmYNFElW7kyJH3vaYgoJ/fNmXKlPu2qVevHhYtWmS2uIiIiMqDRRPd18iRIyGRSCCRSCCTyRAQEICXXnoJ6enpVR5LXFwcxo0bZ3gukUjw66+/VnkcRERUO1n14pZkHfr27YuVK1dCo9HgxIkTGDVqFDIyMrBu3boqjcPT07NK34+IiKzHsStZyCrf2tBmx54meiClUgkfHx/UrVsXvXv3xpAhQxAdHQ1Af1bg6NGjERQUBDs7O4SEhODzzz8v9TizZs2Cl5cXnJ2dMX78+BIro2s0GrzyyitwcXGBu7s73n33XaNlJ+4enqtXrx4A4KmnnoJEIjE8P3z4MAYMGACVSgVnZ2eEhYXhwIED5k0IERFVubc2HcMHh6T47/xNi8XAniYLEUIgX601qa1Op0N+kRayIo1Z1mmyk0srfNbYhQsXEBUVZVhyXqfToW7duvjxxx/h4eGB2NhYjBs3Dr6+voZL2wDA33//DVtbW2zfvh0XL17Eiy++CA8PD3z88ceGNt999x1Gjx6Nffv24cCBAxg3bhwCAwMxduzYEnHExcXBy8sLK1euRN++fQ1rLA0fPhzNmjXDsmXLIJfLkZCQwEsTEBFVcwVqLU5fywEgQSMvR4vFwaLJQvLVWjR9/0+LvPeJD/rAXmH6V79161Y4OjpCq9WioKAAALBgwQIA+uv1zJo1y9A2KCgIsbGx+PHHH42KJoVCgW+//Rb29vZo1qwZPvjgA0yfPh0ffvihoRD09/fHwoULIZFIEBISgqNHj2LhwoWlFk3FQ3XFl0EpdvnyZbz88sto3LgxbGxsEBwcXI7MEBGRNTqXlgMAcJAJeDhabr1DDs/RA3Xr1g0JCQnYt28fJk2ahD59+mDSpEmG17/66iu0adMGnp6ecHR0xPLly3H58mWjY7Rs2dJoJfTw8HDk5OQgKSnJsK19+/ZGPWDh4eE4e/asYWFQU7z22muGS+bMnTsX58+fr8hHJiIiK3LhRi4AwMvOsuvrsafJQuzkUpz4oI9JbXU6HbKzsuHk7GS24bnycHBwQMOGDQEAX3zxBbp164ZZs2bhww8/xI8//ojXXnsNn332GcLDw+Hk5IT58+dj3759Jh3b3D/8M2fOxIABA7Br1y5ERUVh5syZWL9+PZ566imzvg8REVWdi7eLJk/bB19erTKxaLIQiURi8hCZTqeDRiGFvUJmFdeemzlzJvr164eXXnoJ//77Lzp06ICJEycaXi+td+fw4cPIz883XO9t7969cHR0RN26dQ1t9u7da7TP3r17ERwcXOY14eRyeam9UA0bNsQjjzyCqVOnYujQoVi5ciWLJiKiasxaiibL/wWmaqdr165o1qwZZs+ejYYNG+LAgQP4888/cebMGbz33nuIi4srsU9RURFGjx6NEydO4I8//sDMmTPxyiuvGBWBSUlJmDp1Kk6fPo1169Zh8eLFePXVV8uMo169evj777+RmpqK9PR05OfnY9KkSdi9ezcuXbqE//77D3FxcWjSpEml5IGIiKrG3cNzlsSeJqqQqVOn4sUXX8SZM2eQkJCAIUOGQCKRYOjQoZg4cSL++OMPo/Y9evRAcHAwOnfujMLCQjz77LOIjIw0avPCCy8gPz8fbdu2hVQqxaRJk4wWs7zXZ599hqlTp2L58uWoU6cOzpw5g5s3b2LChAm4fv06PDw8MGjQIKOJ6kREVP1cvGkdPU0ScfdCOPRQsrKyoFKpkJmZCWdnZ6PXCgoKkJiYiKCgINja2pbruDqdDllZWXB2draK4TlrVt5cPcz3Ut2p1Wps27YN/fv357IMJmC+TMdcmY65erCMvCK0+iAGADCvrQZPDTB/ru739/tu/AtMREREVivx9tCct5MSyvKdx2R2LJqIiIjIahUPzQW62z+gZeVj0URERERWq3hhy/qeDhaOhEUTERERWbHioqkBiyYiIiKishUXTQ09LXfNuWIsmoiIiMgqFWl0uHgzDwB7moiIiIjKdOlmLrQ6AUelDD7OSkuHw6KJiIiIrJNhPpOXo0Uv1FuMRRMRERFZJWuazwSwaCIiIiIrdba4aPJi0UTVwMiRIyGRSErczp07Z+nQiIiohjtnZUUTL9hLD9S3b1+sXLnSaJunp6eFoiEiotpAqxM4f11fNAVbSdHEniZ6IKVSCR8fH6ObVCrFzp070bZtWyiVSvj6+uKtt96CRqMBAHz//fdwdHTE2bNnDceZNGkSGjVqhNxc/ZL4J06cQP/+/eHo6Ahvb28MHz4cN27cMLT/+eef0bx5c9jZ2cHd3R09e/Y07EtERDXblfR8FGp0UMhs4O9m+UuoACyaLEcIoCjX9Js6r3zt73cT4qHDv3LlCvr3749HH30Uhw8fxtKlS7FixQp89NFHAIAXXngB/fv3x3PPPQeNRoOoqCgsW7YMa9asgYODA1JSUtClSxe0atUKBw4cQFRUFK5du4bBgwcDAFJSUjB06FCMGjUKJ0+exI4dOzBo0CAIM8RORETW79z1bABAfQ8HSG0sf+YcwOE5y1HnAbP9TGpqA8DFnO/99lVAYfoiYVu3boWj452u0X79+qFRo0bw9/fHkiVLIJFI0LhxY1y9ehVvvvkm3n//fdjY2GDZsmVo0aIFJk+ejI0bN2LmzJl49NFHAQBLly7FI488gtmzZxuO++2338Lf3x9nzpxBTk4ONBoNBg0ahMDAQABA8+bNzZQAIiKydtY2nwlg0UQm6NatG5YuXWp47uDggJdffhnh4eFG62Z07NgROTk5SE5ORkBAAFxdXbFixQr06dMHHTp0wFtvvWVoGx8fj+3btxsVY8XOnz+P3r17o0ePHmjevDn69OmD3r174+mnn4arq2vlflgiIrIKZ6+xaKJicnt9j48JdDodsrKz4ezkBBsbM4yoyss3Nuzg4ICGDRsabRNClFhorHjo7O7tu3btglQqxdWrV5GbmwtnZ2cA+s80YMAAfPLJJyXez9fXF1KpFDExMYiNjUV0dDQWL16Md955B/v27UNQUFC54iciourn3HXrK5o4p8lSJBL9EJmpN7l9+drf72aGVVWbNm2K2NhYozlGsbGxcHJyQp06dQzP582bhy1btsDZ2RmTJk0ytH3kkUdw/Phx1KtXDw0bNjS6OTg43E6RBB07dsSsWbNw6NAhKBQKbNq06aFjJyIi6yaEMAzPBXs5WTiaO1g0UYVMnDgRSUlJmDRpEk6dOoXffvsNM2fOxNSpU2FjY4Ps7GwMHz4ckyZNQr9+/bB27Vr8+OOP+OmnnwAAL7/8Mm7duoWhQ4di//79uHDhAqKjozFq1ChotVrs27cPs2fPxoEDB3D58mVs3LgR169fR5MmTSz8yYmIqLJdzy5EdoEGNhKgnod1nDkHcHiOKqhOnTrYtm0bpk+fjpYtW8LNzQ2jR4/Gu+++CwB49dVX4eDgYJjo3axZM3zyySeYMGECOnTogDp16uC///7Dm2++iT59+qCwsBCBgYHo27cvbGxs4OzsjF27dmHRokXIyspCYGAgPvvsM/Tr18+SH5uIiKpA4g398jJ1Xe2hlEktHM0dLJrovlatWlXma126dMH+/ftLfe3bb78tsW3y5MmYPHmy4XlwcDA2btxY6v5NmjRBVFRU+YIlIqIa4fjVLADWNZ8J4PAcERERWZlTqfqiqXkdlYUjMcaiiYiIiKxK8YV6G3lbzyRwgEUTERERWREhBM5dKy6aODxHREREVKrUrAJkF2ogs5Eg0N30q1dUBRZNVYzXTrMu/D6IiKxL8Urg9TwcoJBZV5liXdHUYFKp/pTJoqIiC0dCd8vLywMAyOVyC0dCRETAnflMwVZ25hzAJQeqjEwmg729Pa5fvw65XF6uy6HodDoUFRWhoKDAPJdRqcFMzZUQAnl5eUhLS4OLi4uhqCUiIss6l5YNgEVTrSaRSODr64vExERcunSpXPsKIZCfnw87O7sS13sjY+XNlYuLC3x8fKogMiIiMoXhQr1WduYcwKKpSikUCgQHB5d7iE6tVmPXrl3o3Lkzh5EeoDy5ksvl7GEiIrIiQgicucaeJrrNxsYGtra25dpHKpVCo9HA1taWRdMDMFdERNXX9exCZN2+5lyQh3WdOQdwIjgRERFZieJJ4IHuDrCVW99IgEWLpl27dmHAgAHw8/ODRCLBr7/+avS6EAKRkZHw8/ODnZ0dunbtiuPHjxu1KSwsxKRJk+Dh4QEHBwcMHDgQycnJRm3S09MxfPhwqFQqqFQqDB8+HBkZGUZtLl++jAEDBsDBwQEeHh6YPHkyz3QjIiKqQmeteGgOsHDRlJubi5YtW2LJkiWlvj5v3jwsWLAAS5YsQVxcHHx8fNCrVy9kZ2cb2kyZMgWbNm3C+vXrsXv3buTk5CAiIgJardbQZtiwYUhISEBUVBSioqKQkJCA4cOHG17XarV4/PHHkZubi927d2P9+vX45Zdf8Prrr1fehyciIiIjp4sngVtp0WTROU39+vVDv379Sn1NCIFFixbhnXfewaBBgwAA3333Hby9vbF27VqMHz8emZmZWLFiBX744Qf07NkTALB69Wr4+/vjr7/+Qp8+fXDy5ElERUVh7969aNeuHQBg+fLlCA8Px+nTpxESEoLo6GicOHECSUlJ8PPzAwB89tlnGDlyJD7++GM4OztXQTaIiIhqt0OX0wFY34V6i1ntnKbExESkpqaid+/ehm1KpRJdunRBbGwsACA+Ph5qtdqojZ+fH0JDQw1t9uzZA5VKZSiYAKB9+/ZQqVRGbUJDQw0FEwD06dMHhYWFiI+Pr9TPSURERIBaq8O523OaWvi7WDaYMljt2XOpqakAAG9vb6Pt3t7ehnWOUlNToVAo4OrqWqJN8f6pqanw8vIqcXwvLy+jNve+j6urKxQKhaFNaQoLC1FYWGh4npWVBUB/2rtarTbpc5qi+FjmPGZNxVyZjrkqH+bLdMyV6ZirO86m5UCjE3BQSOFpLy2Rk8rMlanHtNqiqdi9CxQKIR64aOG9bUprX5E295ozZw5mzZpVYnt0dDTs7e3vG2NFxMTEmP2YNRVzZTrmqnyYL9MxV6ZjroCEmxIAUngoNPjjjz/KbFcZuSq+pNaDWG3RVLxKc2pqKnx9fQ3b09LSDL1CPj4+KCoqQnp6ulFvU1paGjp06GBoc+3atRLHv379utFx9u3bZ/R6eno61Gp1iR6ou82YMQNTp041PM/KyoK/vz969+5t1nlQarUaMTEx6NWrF9ceegDmynTMVfkwX6ZjrkzHXN1x/p/zwJnzCAuug/79Q0u8Xpm5Kh4pehCrLZqCgoLg4+ODmJgYtG7dGoD+Yrc7d+7EJ598AgAICwuDXC5HTEwMBg8eDABISUnBsWPHMG/ePABAeHg4MjMzsX//frRt2xYAsG/fPmRmZhoKq/DwcHz88cdISUkxFGjR0dFQKpUICwsrM0alUgmlUlliu1wur5Qf/so6bk3EXJmOuSof5st0zJXpmCvg/E19b09jX+f75qIycmXq8SxaNOXk5ODcuXOG54mJiUhISICbmxsCAgIwZcoUzJ49G8HBwQgODsbs2bNhb2+PYcOGAQBUKhVGjx6N119/He7u7nBzc8O0adPQvHlzw9l0TZo0Qd++fTF27FgsW7YMADBu3DhEREQgJCQEANC7d280bdoUw4cPx/z583Hr1i1MmzYNY8eO5ZlzREREVeDOGk3Wd825YhYtmg4cOIBu3boZnhcPdY0YMQKrVq3CG2+8gfz8fEycOBHp6elo164doqOj4eR0J6ELFy6ETCbD4MGDkZ+fjx49emDVqlVG1xRbs2YNJk+ebDjLbuDAgUZrQ0mlUvz++++YOHEiOnbsCDs7OwwbNgyffvppZaeAiIio1lNrdUi8kQsACPa2zjWaAAsXTV27doUQoszXJRIJIiMjERkZWWYbW1tbLF68GIsXLy6zjZubG1avXn3fWAICArB169YHxkxERETmdelmLtRaAXuFFH4qO0uHUyarXaeJiIiIaoezt1cCD/ZyhI3N/c+QtyQWTURERGRRp2/PZ2poxfOZABZNREREZGGnUvRFUxNfFk1EREREZTqZql8nqYmvdZ+xzqKJiIiILCa3UINLxWs0+bCniYiIiKhUp1L1Q3NeTkq4O5ZcMNqasGgiIiIiizlVTYbmABZNREREZEHFk8AbW/kkcIBFExEREVnQ+evFazSxaCIiIiIq05nbC1s29LLey6cUY9FEREREFpGWVYAbOYWwkQCNrPiac8VYNBEREZFFHE/RTwKv7+kIe4VFL4drEhZNREREZBEnrlafM+cAFk1ERERkIceuZAIAmtdh0URERERUpuO3e5qa+aksHIlpWDQRERFRlcvMU+PyLf3lU5r5saeJiIiIqFTFF+mt42IHF3uFhaMxDYsmIiIiqnKx528CAFr5u1g2kHJg0URERERVLiEpAwDQvoG7ZQMpBxZNREREVOXOXtNfc66Jj/VfPqUYiyYiIiKqUteyCpCSWQCJBAj2ZtFEREREVKrjV/XrMzXycoLKTm7haEzHoomIiIiq1PEr+jPnGlWjoTmARRMRERFVsYOX0wEAYQEulg2knFg0ERERUZU6cy0HQPW55lwxFk1ERERUZW7lFuFKRj4AoDGLJiIiIqLS7U+8BQAI9nKsVpPAARZNREREVIUOJ2cAANrUc7VsIBXAoomIiIiqzOlU/aKWTavZ0BzAoomIiIiq0JnbK4FXp0Uti7FoIiIioiqRW6hBcrp+EngjFk1EREREpTuXpl9qwMNRCTcHhYWjKT8WTURERFQlTqXeXgnc29HCkVQMiyYiIiKqEgcvZQAAWtR1sWgcFcWiiYiIiKpE3EX9Gk1tAqvfcgMAiyYiIiKqAjdzCnHhRi4kEuDRem6WDqdCWDQRERFRpTt2VT+fKcjdASr76rUSeDEWTURERFTpTt+eBF7dLtJ7NxZNREREVOmO3+5paurHoomIiIioTMeuZAJg0URERERUpuwCNS7cyAUANGPRRERERFS6o1cyIQRQx8UOXk62lg6nwlg0ERERUaXad0G/PlMrfxfLBvKQWDQRERFRpTp6ez5T+wbuFo7k4bBoIiIiokp1/rr+Qr0NPavnNeeKsWgiIiKiSpNTqEHSrTwAQH1PBwtH83BYNBEREVGlSbicAZ1hErjS0uE8FBZNREREVGniL6UDAB4JdIVEIrFwNA/HqosmjUaDd999F0FBQbCzs0P9+vXxwQcfQKfTGdoIIRAZGQk/Pz/Y2dmha9euOH78uNFxCgsLMWnSJHh4eMDBwQEDBw5EcnKyUZv09HQMHz4cKpUKKpUKw4cPR0ZGRlV8TCIiohorIUlfNIUFuFg2EDOw6qLpk08+wVdffYUlS5bg5MmTmDdvHubPn4/Fixcb2sybNw8LFizAkiVLEBcXBx8fH/Tq1QvZ2dmGNlOmTMGmTZuwfv167N69Gzk5OYiIiIBWqzW0GTZsGBISEhAVFYWoqCgkJCRg+PDhVfp5iYiIahIhBI4k68+ca1HNlxsAAJmlA7ifPXv24IknnsDjjz8OAKhXrx7WrVuHAwcOANB/GYsWLcI777yDQYMGAQC+++47eHt7Y+3atRg/fjwyMzOxYsUK/PDDD+jZsycAYPXq1fD398dff/2FPn364OTJk4iKisLevXvRrl07AMDy5csRHh6O06dPIyQkxAKfnoiIqHpLupWPm7lFUEht0LQaX6i3mFUXTZ06dcJXX32FM2fOoFGjRjh8+DB2796NRYsWAQASExORmpqK3r17G/ZRKpXo0qULYmNjMX78eMTHx0OtVhu18fPzQ2hoKGJjY9GnTx/s2bMHKpXKUDABQPv27aFSqRAbG1tm0VRYWIjCwkLD86ws/cUI1Wo11Gq12fJQfCxzHrOmYq5Mx1yVD/NlOubKdDU9V/suXAcANPVzghQ6qNW6B+xRtsrMlanHtOqi6c0330RmZiYaN24MqVQKrVaLjz/+GEOHDgUApKamAgC8vb2N9vP29salS5cMbRQKBVxdXUu0Kd4/NTUVXl5eJd7fy8vL0KY0c+bMwaxZs0psj46Ohr29fTk+qWliYmLMfsyairkyHXNVPsyX6Zgr09XUXG08bwPABm7adGzbts0sx6yMXOXl5ZnUzqqLpg0bNmD16tVYu3YtmjVrhoSEBEyZMgV+fn4YMWKEod29s/GFEA+coX9vm9LaP+g4M2bMwNSpUw3Ps7Ky4O/vj969e8PZ2XzdkGq1GjExMejVqxfkcrnZjlsTMVemY67Kh/kyHXNlupqeq4WLdgPIw+Buj6BH45KdE+VRmbkqHil6EKsumqZPn4633noLzz77LACgefPmuHTpEubMmYMRI0bAx8cHgL6nyNfX17BfWlqaoffJx8cHRUVFSE9PN+ptSktLQ4cOHQxtrl27VuL9r1+/XqIX625KpRJKZck1J+RyeaX88FfWcWsi5sp0zFX5MF+mY65MVxNzlZZdgIs38yCRAB2Cvcz2+SojV6Yez6rPnsvLy4ONjXGIUqnUsORAUFAQfHx8jLrqioqKsHPnTkNBFBYWBrlcbtQmJSUFx44dM7QJDw9HZmYm9u/fb2izb98+ZGZmGtoQERGR6Y5f1ffeBHk4wNm2ZhSEVt3TNGDAAHz88ccICAhAs2bNcOjQISxYsACjRo0CoB9SmzJlCmbPno3g4GAEBwdj9uzZsLe3x7BhwwAAKpUKo0ePxuuvvw53d3e4ublh2rRpaN68ueFsuiZNmqBv374YO3Ysli1bBgAYN24cIiIieOYcERFRBey9cBMA0Nrf9QEtqw+rLpoWL16M9957DxMnTkRaWhr8/Pwwfvx4vP/++4Y2b7zxBvLz8zFx4kSkp6ejXbt2iI6OhpOTk6HNwoULIZPJMHjwYOTn56NHjx5YtWoVpFKpoc2aNWswefJkw1l2AwcOxJIlS6ruwxIREdUgsef0RVPHhu4WjsR8rLpocnJywqJFiwxLDJRGIpEgMjISkZGRZbaxtbXF4sWLjRbFvJebmxtWr179ENESERERAFzNyMexq/pFLTs29LBwNOZj1XOaiIiIqPrZl3gTQgCt/F3g7Wxr6XDMhkUTERERmdWBi7cv0htQc+YzASyaiIiIyMxiz+vnM7Wv72bhSMyLRRMRERGZTXJ6HhJv5EJmI0F4g5ozCRxg0URERERmdOyKfgJ4sLcTnGrI+kzFWDQRERGR2cRf0s9nauXvYtlAKgGLJiIiIjKb/bcngbcNqlmTwAEWTURERGQmeUUaHL89PNcmsGZNAgdYNBEREZGZJFzOgEYn4KuyRV1XO0uHY3YsmoiIiMgs9l+8BQBoU88NEonEwtGYH4smIiIiMoviRS3b1qt585kAFk1ERERkBhqtDgcv64umR4Nq3nwmgEUTERERmcHJlGzkFWnhZCtDIy8nS4dTKVg0ERER0UNLSNL3MrUOcIWNTc2bzwSwaCIiIiIzOJSUAaBmLmpZjEUTERERPbTDhqJJZdlAKhGLJiIiInoomflqnL+eCwBoWdfFssFUIhZNRERE9FCOJutXAfd3s4O7o9LC0VQeFk1ERET0UA4nZwAAWvnXzPWZirFoIiIioody6HIGAKBl3Zo7nwlg0UREREQPQQiBhNuTwFvW4DPnABZNRERE9BCSbuXjRk4hFFIbNK/DniYiIiKiUh24pL9IbxM/Z9jKpRaOpnKxaCIiIqIKO3BJvxJ4uxp6vbm7sWgiIiKiCjt2Rb/cQE0fmgMA2cPsXFRUhLS0NOh0OqPtAQEBDxUUERERWb9CjRanUrMBsGgq09mzZzFq1CjExsYabRdCQCKRQKvVmiU4IiIisl4nU7JRpNHB1V6OQHd7S4dT6SpUNI0cORIymQxbt26Fr68vJJKaeTVjIiIiKtu/Z64DAMIC3WpFLVChoikhIQHx8fFo3LixueMhIiKiauKvk9cAAD2beFk4kqpRoYngTZs2xY0bN8wdCxEREVUTWQVqHLk9CbxrCIumMn3yySd44403sGPHDty8eRNZWVlGNyIiIqrZDly8BSGAeu728FHZWjqcKlGh4bmePXsCAHr06GG0nRPBiYiIaod9ifpFLdvWgvWZilWoaNq+fbu54yAiIqJqZPupNABAhwYeFo6k6lSoaOrSpYu54yAiIqJqIulWHs5cy4GNBOjSyNPS4VSZCi9umZGRgRUrVuDkyZOQSCRo2rQpRo0aBZWq5i9uRUREVJttPnwVABDewB2uDgoLR1N1KjQR/MCBA2jQoAEWLlyIW7du4caNG1iwYAEaNGiAgwcPmjtGIiIisiI7TuuH5h5v7mfhSKpWhXqaXnvtNQwcOBDLly+HTKY/hEajwZgxYzBlyhTs2rXLrEESERGRdSjS6HA4Wb/UQPv6tWcSOFDBounAgQNGBRMAyGQyvPHGG2jTpo3ZgiMiIiLrcvByOoo0Org7KBDk4WDpcKpUhYbnnJ2dcfny5RLbk5KS4OTk9NBBERERkXXadfvSKY8Fe9SKS6fcrUJF05AhQzB69Ghs2LABSUlJSE5Oxvr16zFmzBgMHTrU3DESERGRldh1Vl80da5FZ80Vq9Dw3KeffgqJRIIXXngBGo0GACCXy/HSSy9h7ty5Zg2QiIiIrMONnEIcu6K/8sdjwSyaTKJQKPD5559jzpw5OH/+PIQQaNiwIezt7c0dHxEREVmJ3Wf1151t6usMTyelhaOpehVepwkA7O3t0bx5c3PFQkRERFaseD5TbRyaA8pRNA0aNAirVq2Cs7MzBg0adN+2GzdufOjAiIiIyHrodAK7bvc0dW5Uey6dcjeTiyaVSmWYJe/s7FzrZswTERHVZmfTcnAjpxB2cinCAl0tHY5FmFw0rVy50vB41apVlRELERERWal/bl+gNyzQFUqZ1MLRWEaFlhzo3r07MjIySmzPyspC9+7dHzYmIiIisjLF15t7vIWvhSOxnAoVTTt27EBRUVGJ7QUFBfj3338fOqi7XblyBc8//zzc3d1hb2+PVq1aIT4+3vC6EAKRkZHw8/ODnZ0dunbtiuPHjxsdo7CwEJMmTYKHhwccHBwwcOBAJCcnG7VJT0/H8OHDoVKpoFKpMHz48FILQyIiotomOT0PJ1OyYCMB+jbzsXQ4FlOus+eOHDlieHzixAmkpqYanmu1WkRFRaFOnTpmCy49PR0dO3ZEt27d8Mcff8DLywvnz5+Hi4uLoc28efOwYMECrFq1Co0aNcJHH32EXr164fTp04bVyadMmYItW7Zg/fr1cHd3x+uvv46IiAjEx8dDKtV3MQ4bNgzJycmIiooCAIwbNw7Dhw/Hli1bzPZ5iIiIqqO7h+ZcHRQWjsZyylU0tWrVChKJBBKJpNRhODs7OyxevNhswX3yySfw9/c3mk9Vr149w2MhBBYtWoR33nnHcEbfd999B29vb6xduxbjx49HZmYmVqxYgR9++AE9e/YEAKxevRr+/v7466+/0KdPH5w8eRJRUVHYu3cv2rVrBwBYvnw5wsPDcfr0aYSEhJjtMxEREVU3MSeuAQB6NvG2cCSWVa6iKTExEUII1K9fH/v374en5511GhQKBby8vAw9N+awefNm9OnTB8888wx27tyJOnXqYOLEiRg7dqwhntTUVPTu3duwj1KpRJcuXRAbG4vx48cjPj4earXaqI2fnx9CQ0MRGxuLPn36YM+ePVCpVIaCCQDat28PlUqF2NjYMoumwsJCFBYWGp5nZelXSVWr1VCr1WbLQ/GxzHnMmoq5Mh1zVT7Ml+mYK9NVh1zlFWmw98JNAEDnhm4Wi7Uyc2XqMctVNAUGBgIAdDpd+SOqgAsXLmDp0qWYOnUq3n77bezfvx+TJ0+GUqnECy+8YBge9PY2rny9vb1x6dIlAEBqaioUCgVcXV1LtCnePzU1FV5eXiXe38vLy2gI8l5z5szBrFmzSmyPjo6ulNXRY2JizH7Mmoq5Mh1zVT7Ml+mYK9NZc66Op0ug1krhphQ4HbcLZyy84lBl5CovL8+kdg+1IviJEydw+fLlEpPCBw4c+DCHNdDpdGjTpg1mz54NAGjdujWOHz+OpUuX4oUXXjC0u3fNKCHEA9eRurdNae0fdJwZM2Zg6tSphudZWVnw9/dH79694ezsfP8PVw5qtRoxMTHo1asX5HK52Y5bEzFXpmOuyof5Mh1zZbrqkKu4rScBJKFPC388/nhTi8VRmbkqHil6kAoVTRcuXMBTTz2Fo0ePQiKRQAgB4E7hodVqK3LYEnx9fdG0qfEX1KRJE/zyyy8AAB8f/Qz+1NRU+PreOQUyLS3N0Pvk4+ODoqIipKenG/U2paWloUOHDoY2165dK/H+169fL9GLdTelUgmlsuS1d+RyeaX88FfWcWsi5sp0zFX5MF+mY65MZ625EkJg11n90Fy3xt5WEWNl5MrU41VoyYFXX30VQUFBuHbtGuzt7XH8+HHs2rULbdq0wY4dOypyyFJ17NgRp0+fNtp25swZwzBhUFAQfHx8jLrqioqKsHPnTkNBFBYWBrlcbtQmJSUFx44dM7QJDw9HZmYm9u/fb2izb98+ZGZmGtoQERHVNhdv5uHyrTzIpRJ0aFg7L51ytwr1NO3Zswf//PMPPD09YWNjAxsbG3Tq1Alz5szB5MmTcejQIbME99prr6FDhw6YPXs2Bg8ejP379+Prr7/G119/DUDfszVlyhTMnj0bwcHBCA4OxuzZs2Fvb49hw4YB0F/+ZfTo0Xj99dfh7u4ONzc3TJs2Dc2bNzecTdekSRP07dsXY8eOxbJlywDolxyIiIjgmXNERFRr7TitX2qgTaAbHJUPNaOnRqhQBrRaLRwdHQEAHh4euHr1KkJCQhAYGFiiZ+hhPProo9i0aRNmzJiBDz74AEFBQVi0aBGee+45Q5s33ngD+fn5mDhxItLT09GuXTtER0cb1mgCgIULF0Imk2Hw4MHIz89Hjx49sGrVKqMz/dasWYPJkycbzrIbOHAglixZYrbPQkREVN3sOH0dANA1xPMBLWuHChVNoaGhOHLkCOrXr4927dph3rx5UCgU+Prrr1G/fn2zBhgREYGIiIgyX5dIJIiMjERkZGSZbWxtbbF48eL7riHl5uaG1atXP0yoRERENYZWJxB38RYAoHMjFk1ABYumd999F7m5uQCAjz76CBEREXjsscfg7u6ODRs2mDVAIiIiqnpHkjOQV6SFk60MjbydHrxDLVChoqlPnz6Gx/Xr18eJEydw69YtuLq6PvBUfyIiIrJ+xUNznRp6QGrDv+3AQ67TdDc3NzdzHYqIiIgsbOcZzme6l8lFU/G13UyxcePGCgVDRERElncrtwiHkzMAAF0albxiRm1lctGkUqkqMw4iIiKyEv+evQ4hgMY+TvBR2Vo6HKthctG0cuXKyoyDiIiIrETxfKYuPGvOSIVWBCciIqKaSQhhmM/UvTGH5u5WoYngQUFB9z1L7sKFCxUOiIiIiCznVGo2buUWwVZug9YBrg/eoRapUNE0ZcoUo+dqtRqHDh1CVFQUpk+fbo64iIiIyAKijqUCADo28IBCxgGpu1WoaHr11VdL3f6///0PBw4ceKiAiIiIyHJiTlwDAPRr7mvhSKyPWUvIfv364ZdffjHnIYmIiKiKJN3Kw4mULNhIOAm8NGYtmn7++WcucklERFRN/X40BQDQvr47PJ2UFo7G+lRoeK5169ZGE8GFEEhNTcX169fx5Zdfmi04IiIiqjp/HtfPZ+rd1NvCkVinChVNTz75pNFzGxsbeHp6omvXrmjcuLE54iIiIqIqlJKZj0OXMyCRAP1bcD5TaSpUNM2cOdPccRAREZEF/XV7AnhYgCu8nLgKeGkqfMFerVaLTZs24eTJk5BIJGjSpAmeeOIJyGRmuwYwERERVZHo20VTLw7NlalCFc6xY8fwxBNPIDU1FSEhIQCAM2fOwNPTE5s3b0bz5s3NGiQRERFVnvTcIuy9cBMA0LuZj4WjsV4VOntuzJgxaNasGZKTk3Hw4EEcPHgQSUlJaNGiBcaNG2fuGImIiKgS/X40BWqtQFNfZwR5OFg6HKtVoZ6mw4cP48CBA3B1vbO8uqurKz7++GM8+uijZguOiIiIKl/xKuADWvpZOBLrVqGeppCQEFy7dq3E9rS0NDRs2PChgyIiIqKqkZ5bhD23h+b6hXJo7n4qVDTNnj0bkydPxs8//4zk5GQkJyfj559/xpQpU/DJJ58gKyvLcCMiIiLrFXPiGrQ6/dBcPQ7N3VeFhuciIiIAAIMHDzYscimEAAAMGDDA8FwikUCr1ZojTiIiIqoE247pVwHv35y9TA9SoaJp+/bt5o6DiIiIqlhmvhr/nbsBAOgbygUtH6RCRVOXLl3MHQcRERFVsT+Pp0KtFWjg6YCGXo6WDsfqVXglyoyMDKxYscKwuGXTpk0xatQoqFQqc8ZHRERElWTrEf3QXD/2MpmkQhPBDxw4gAYNGmDhwoW4desWbty4gQULFqBBgwY4ePCguWMkIiIiM0vNLDAMzT31SB0LR1M9VKin6bXXXsPAgQOxfPlyw2VTNBoNxowZgylTpmDXrl1mDZKIiIjM68cDSdDqBNoGuaGBJ4fmTFGhounAgQNGBRMAyGQyvPHGG2jTpo3ZgiMiIqLK8cftBS2fDqtr4UiqjwoNzzk7O+Py5cslticlJcHJyemhgyIiIqLKcyQ5AydTsqCQ2qBHYy9Lh1NtVKhoGjJkCEaPHo0NGzYgKSkJycnJWL9+PcaMGYOhQ4eaO0YiIiIyo6U7zgMA+ob6wN1RaeFoqo8KDc99+umnsLGxwQsvvACNRgMAkMvleOmllzB37lyzBkhERETmk3QrD1HH9UNzr3Tnpc/Ko1xFU15eHqZPn45ff/0VarUaTz75JF555RWoVCo0bNgQ9vb2lRUnERERmcHa/ZchBPBYsAcaeXNKTXmUq2iaOXMmVq1aheeeew52dnZYu3YtdDodfvrpp8qKj4iIiMykUKPFL/HJAIChbQMsHE31U66iaePGjVixYgWeffZZAMBzzz2Hjh07QqvVQiqVVkqAREREZB5Rx1KRll0ILyclejThBPDyKtdE8KSkJDz22GOG523btoVMJsPVq1fNHhgRERGZ19p9+jPfn20bAKWMnR3lVa6iSavVQqFQGG2TyWSGyeBERERknS7dzMW+xFuQSIBnH/W3dDjVUrmG54QQGDlyJJTKO6cnFhQUYMKECXBwcDBs27hxo/kiJCIioocWc+IaAKBDA3f4udhZOJrqqVxF04gRI0pse/75580WDBEREVWOqNsrgHcL4VymiipX0bRy5crKioOIiIgqyanULBy4lA6ZjQSPt/C1dDjVVoVWBCciIqLqY3OC/oSt7o294Kvi0FxFsWgiIiKqwYQQ2HokBQAQ0dLPwtFUbyyaiIiIarCjVzJx+VYebOW8OO/DYtFERERUgxX3MvVo7A0HZYUuOUu3sWgiIiKqoYQQ+L14aI4TwB8aiyYiIqIa6t+zN3AlIx8OCim6cWjuobFoIiIiqqGW/3sBAPBMG3/YynnZlIfFoomIiKgGOpqciX/P3oDURoLRnYIsHU6NUK2Kpjlz5kAikWDKlCmGbUIIREZGws/PD3Z2dujatSuOHz9utF9hYSEmTZoEDw8PODg4YODAgUhOTjZqk56ejuHDh0OlUkGlUmH48OHIyMiogk9FRERkft/s1vcyRbTwhb+bvYWjqRmqTdEUFxeHr7/+Gi1atDDaPm/ePCxYsABLlixBXFwcfHx80KtXL2RnZxvaTJkyBZs2bcL69euxe/du5OTkICIiAlqt1tBm2LBhSEhIQFRUFKKiopCQkIDhw4dX2ecjIiIyl+T0PMNZc2M61bdwNDVHtSiacnJy8Nxzz2H58uVwdXU1bBdCYNGiRXjnnXcwaNAghIaG4rvvvkNeXh7Wrl0LAMjMzMSKFSvw2WefoWfPnmjdujVWr16No0eP4q+//gIAnDx5ElFRUfjmm28QHh6O8PBwLF++HFu3bsXp06ct8pmJiIgq6oe9l6DVCXRs6I7mdVWWDqfGqBYLNrz88st4/PHH0bNnT3z00UeG7YmJiUhNTUXv3r0N25RKJbp06YLY2FiMHz8e8fHxUKvVRm38/PwQGhqK2NhY9OnTB3v27IFKpUK7du0Mbdq3bw+VSoXY2FiEhISUGldhYSEKCwsNz7OysgAAarUaarXabJ+/+FjmPGZNxVyZjrkqH+bLdMyV6SojV/lFWvwSr5+CMrRN3RrzPVTmz5Wpx7T6omn9+vU4ePAg4uLiSryWmqq/YrO3t7fRdm9vb1y6dMnQRqFQGPVQFbcp3j81NRVeXiVPxfTy8jK0Kc2cOXMwa9asEtujo6Nhb2/+8eOYmBizH7OmYq5Mx1yVD/NlOubKdObM1e5UCW7kSOGmFChMjMe2S2Y7tFWojJ+rvLw8k9pZddGUlJSEV199FdHR0bC1tS2znUQiMXouhCix7V73timt/YOOM2PGDEydOtXwPCsrC/7+/ujduzecnZ3v+/7loVarERMTg169ekEul5vtuDURc2U65qp8mC/TMVemq4xcffPVXgBZGNO1EQbWoLPmKvPnqnik6EGsumiKj49HWloawsLCDNu0Wi127dqFJUuWGOYbpaamwtf3zkqnaWlpht4nHx8fFBUVIT093ai3KS0tDR06dDC0uXbtWon3v379eolerLsplUoolcoS2+VyeaX8oqis49ZEzJXpmKvyYb5Mx1yZzly5OpeWjaNXsiC1keCZNoE1Mv+V8XNl6vGseiJ4jx49cPToUSQkJBhubdq0wXPPPYeEhATUr18fPj4+Rl11RUVF2Llzp6EgCgsLg1wuN2qTkpKCY8eOGdqEh4cjMzMT+/fvN7TZt28fMjMzDW2IiIis3fr9SQCA7o294OlU8j/19HCsuqfJyckJoaGhRtscHBzg7u5u2D5lyhTMnj0bwcHBCA4OxuzZs2Fvb49hw4YBAFQqFUaPHo3XX38d7u7ucHNzw7Rp09C8eXP07NkTANCkSRP07dsXY8eOxbJlywAA48aNQ0RERJmTwImIiKxJTqEGvyZcBQD83yN1LBxNzWTVRZMp3njjDeTn52PixIlIT09Hu3btEB0dDScnJ0ObhQsXQiaTYfDgwcjPz0ePHj2watUqSKV3lpRfs2YNJk+ebDjLbuDAgViyZEmVfx4iIqKK+PlAEm7kFCLAzZ7Xmask1a5o2rFjh9FziUSCyMhIREZGlrmPra0tFi9ejMWLF5fZxs3NDatXrzZTlERERFVHCIFv/7sIABj7WBCUMl5nrjJY9ZwmIiIierCDlzNw+VYelDIbPB3mb+lwaiwWTURERNXc17vOAwAGtvSDnYK9TJWFRRMREVE1lpyeh+gT+mVzxnXmdeYqE4smIiKiauy3hKsQAujQwB3B3k4P3oEqjEUTERFRNZVfpMV3sRcBAE+25jIDlY1FExERUTW1/N8LSMsuhJ/KFk+08rN0ODUeiyYiIqJqKDNfja926ieAv9ozmMsMVAEWTURERNXQt7sTkVekRYi3Ewa34TIDVYFFExERUTWTnluElf8lAgAm9WgIiURi4YhqBxZNRERE1cyS7eeQVaBBYx8n9Av1tXQ4tQaLJiIiomrk8s08fL/nIgDg7f5NILVhL1NVYdFERERUjczachxqrUCnhh7o3MjT0uHUKiyaiIiIqonjVzPx96k02EiAyIFNLR1OrcOiiYiIqJqYF3UaANCvuS8aenH176rGoomIiKgaiD13AzvPXIfMRoLpvUMsHU6txKKJiIjIygkhMDfqFADguXYBqOfhYOGIaicWTURERFbuz+PXcCQ5Ew4KKSb1CLZ0OLUWiyYiIiIrJoTA/7afAwC82DEIHo5KC0dUe7FoIiIismI7Tl/H0SuZUMpsMKpTkKXDqdVYNBEREVkpnU7gk9tzmV4ID4Sbg8LCEdVuLJqIiIis1JYjV3EqNRv2CinGPlbf0uHUeiyaiIiIrNC5tBx8sOUEAOClLg3g5Wxr4YhIZukAyILy04FP6t15PmE34NPcYuEQEZGeWqvDK2sP4mZuERp5O2JsZ/YyWQP2NNVmdxdMAPBVJ0AIi4RCRER3rNidiFOp2XCyleGH0e1gK5daOiQCi6baa8PzpW+f5VKlYRARkbHMfDUW/30WAPB+RFN4c1jOarBoqq1Obrnz+J1rxq+lHK7aWIiIyGDlf4nILdKikbcj/u+RupYOh+7Coqk22vrancch/QG5LTAz4862ZZ2rPCQiIgKS0/OwdMd5AMDErg1hYyOxcER0NxZNtY0QwIFv7zwfuk5/L7nnH2ZGUtXFREREEELgvV+PoVCjwyMBLniilZ+lQ6J7sGiqbc79fedxt3eMX3vv5p3Hi0KrJh4iIgIA/H40BdtPX4dCaoO5/9cCknv/M0sWx6Kptlnzf3ced55u/Jr0nhUo/v6g8uMhIiLkFmoQuVm/JtOErg3QyNvJwhFRaVg01Wal/S8mMvPO438/4xIERERVYPH287iRU4hAd3u83K2BpcOhMrBoqk1O/X7n8bNry2733C93Hu9eWHnxEBERErOBb2MvAQDe7t8EShnXZLJWLJpqk/XD7jxu/HjZ7YJ73nn896zKi4eIqJbLLtDguzNSCAH0bOKNXk28LR0S3QeLJipdxF09THu/slwcREQ12Of/nEN6kQR1Xe2wcEhLLjFg5Vg01RbXT995/Oy6B7dvM+rO48MmtCcionI5nJSBtfv1y7vMjGgMJ1u5hSOiB2HRVFtcO37nceP+pu1Tv6v+PiUB0BSZOyIiolpLCIHILceh1go0d9WhayNPS4dEJmDRVFv8/KL+vumTpu/zzKo7j3fMMWc0RES12pYjKTh0OQNyqQSD6+ssHQ6ZiEVTbZNxyfS2dq53Hp/4zfyxEBHVQqmZBfhgi773f0zHenBWWDggMhmLptpAq7nz+Mml5dv39TOARArcOm88L4qIiMpNpxOYsfEIbuQUoaGXI17qUt/SIVE5sGiqDZL23XnsEVK+fZ28AZ/m+sfbpt+/LRER3df7m4/pL5Uis8Hioa1hp+CaTNUJi6ba4FzMncc2FfjKQwfp7xN3AuoC88RERFTLbD+VhtV7LwMAPhjYDE18nS0cEZUXi6ba4GzMg9vcT/uX7zzev+zhjkVEVAudTs3GpHWHAADD2gXg2bYBFo6IKoJFU21w7Zj+vngJgfKSyoCGvfSP/4o0R0RERLXGubQcjPh2P3IKNWgX5IaZA5paOiSqIBZNtUl55zPdrf98/b3QAcnx5omHiKiGU2t1eOuXI0jNKkADTwcsGx7Ga8tVYyyaajp1/p3HYSMqfhy3oDuPv+le8eMQEdUiC2LO4MCldNjKbbByZFu42HN9geqMRVNNd3H3ncdeD9klXPfRh9ufiKgW+fFAEpbuOA8AmPd0SwS421s4InpYLJpqutwb+nupApA85IUgn9945zHXbCIiKtOJq1l491f9fNJXujXEwJZ+Fo6IzMGqi6Y5c+bg0UcfhZOTE7y8vPDkk0/i9GnjP9ZCCERGRsLPzw92dnbo2rUrjh8/btSmsLAQkyZNgoeHBxwcHDBw4EAkJycbtUlPT8fw4cOhUqmgUqkwfPhwZGRkVPZHrHzXT+rvH3nh4Y9l6ww06qd/vO+rhz8eEVENlFOowStrD6JIo0P3xl6Y2quRpUMiM7Hqomnnzp14+eWXsXfvXsTExECj0aB3797Izc01tJk3bx4WLFiAJUuWIC4uDj4+PujVqxeys7MNbaZMmYJNmzZh/fr12L17N3JychAREQGtVmtoM2zYMCQkJCAqKgpRUVFISEjA8OHDq/TzVorjm/T3no3Nc7zmT+vvD3xrvNI4ERFBqxOY9uNhXLiRC1+VLT59piVsbB6yl5+shszSAdxPVFSU0fOVK1fCy8sL8fHx6Ny5M4QQWLRoEd555x0MGqRfgPG7776Dt7c31q5di/HjxyMzMxMrVqzADz/8gJ49ewIAVq9eDX9/f/z111/o06cPTp48iaioKOzduxft2rUDACxfvhzh4eE4ffo0QkIe4qwzSxICyNAvpAaVv3mO2TjizuPzfwON+pjnuERE1ZwQAu/+ehRRx1OhkNpgybBH4ObAid81iVX3NN0rMzMTAODm5gYASExMRGpqKnr37m1oo1Qq0aVLF8TGxgIA4uPjoVarjdr4+fkhNDTU0GbPnj1QqVSGggkA2rdvD5VKZWhTLWXeNQRZ0TWa7iW3BdpP1D9OWGOeYxIR1QCL/jqLdfuTYCMBvhjaCmGBrg/eiaoVq+5pupsQAlOnTkWnTp0QGhoKAEhNTQUAeHt7G7X19vbGpUuXDG0UCgVcXV1LtCnePzU1FV5eXiXe08vLy9CmNIWFhSgsLDQ8z8rKAgCo1Wqo1eryfsQyFR+rvMeUXD0MGQDh5AcNpIC5YgodAvneLyFO/wFN5jXA3s08xzWDiuaqNmKuyof5Ml1tzNXvR1Px+d9nAQAzI5qgR4iHSZ+/NuaqoiozV6Yes9oUTa+88gqOHDmC3bt3l3hNcs9ZYUKIEtvudW+b0to/6Dhz5szBrFmzSmyPjo6Gvb35Ty2NiSnf5VAeOz0LbgAk2Vexbds2s8bSxS4QLvmXcPKnD5Ho2cusxzaH8uaqNmOuyof5Ml1tydX+6xKsPWcDQILOPjq43DiKbduOlusYtSVX5lAZucrLyzOpXbUomiZNmoTNmzdj165dqFu3rmG7j48PAH1Pka+vr2F7WlqaoffJx8cHRUVFSE9PN+ptSktLQ4cOHQxtrl27VuJ9r1+/XqIX624zZszA1KlTDc+zsrLg7++P3r17w9nZfBdiVKvViImJQa9evSCXy03eT37ozhlz/fv3N1s8AGDjeQWInoHmmsNo0n+hWY/9MCqaq9qIuSof5st0tSlXl27m4a3/xUJAh2fC6uDDgU0hLcfE79qUq4dVmbkqHil6EKsumoQQmDRpEjZt2oQdO3YgKCjI6PWgoCD4+PggJiYGrVu3BgAUFRVh586d+OSTTwAAYWFhkMvliImJweDBgwEAKSkpOHbsGObNmwcACA8PR2ZmJvbv34+2bdsCAPbt24fMzExDYVUapVIJpVJZYrtcLq+UH/5yH7feY8DFf4EBn5s/npZDgL/ehyT1COQ3TwM+oeY9/kOqrO+gJmKuyof5Ml1Nz9XFG7l49pv9yFfr0LaeG+Y93fKBoxxlqem5MqfKyJWpx7Pqounll1/G2rVr8dtvv8HJyckwv0ilUsHOzg4SiQRTpkzB7NmzERwcjODgYMyePRv29vYYNmyYoe3o0aPx+uuvw93dHW5ubpg2bRqaN29uOJuuSZMm6Nu3L8aOHYtly5YBAMaNG4eIiIjqe+YcANzUr0QLr2bmP7aDOxDSDzi5GUhYC/Sdbf73ICKyUpdv5uGZZXtwI6cIdVzs8NngihdMVH1YddG0dOlSAEDXrl2Ntq9cuRIjR44EALzxxhvIz8/HxIkTkZ6ejnbt2iE6OhpOTk6G9gsXLoRMJsPgwYORn5+PHj16YNWqVZBK71w0cc2aNZg8ebLhLLuBAwdiyZIllfsBK1NhNpB9Vf/Yo2HlvEer5/RF097/Ad3fARQOlfM+RERW5EpGPp79eg+uZxeinrs9NowPh7ezraXDoipg1UWTEOKBbSQSCSIjIxEZGVlmG1tbWyxevBiLFy8us42bmxtWr15dkTCt040z+nsHL8Cukk57bdjzzuOTW4CWz1bO+xARWQmNVodJaw/iamYB6ns6YPXodiyYapFqtU4TlcMN/amv8KzE4UWpDHhsmv7xpvGV9z5ERFZACIE5f5zCwcsZcFLK8P2otvBzsbN0WFSFWDTVVMU9TR7Blfs+bcfeeXx5b+W+FxGRBf0Un4wVuxMBAB8+GYq6ruZfWoasG4ummspQNFXyhSKdfACfFvrHf75Tue9FRGQhN3MKMS/qFABgcveGeLJ1HQtHRJbAoqmmKh6eq+yeJgAYsEh/f+UAcGxj5b8fEVEV0mh1mLA6HjdyitDA0wGTelTB71WySiyaaiKt5s5yA5Xd0wQAdcKATq/pH2+epL9QMBFRDfHR7ycRdzEdDgopPn+2NeRS/umsrfjN10TpFwGdGpDbA851H9jcLIqLpqIc4PQfVfOeRESVSAiBb3cnYlXsRQDA/GdaIrSOyrJBkUWxaKqJLv2nv1fnATZV9BXbqgCFo/7xvq+q5j2JiCrR+rgkfLD1BAD9PKb+zX0fsAfVdCyaaqJTWy3zvqP+1N9f3A1kJFkmBiKih1So0eKLv8/ivV+PAQBeCA/ElJ5VMNWBrB6LpprI3l1/32Z01b6vTygQ2BEQWuDYL1X73kREZvDXiWvo/ulOLIg5A41OYNAjdTBzQDPYlOMivFRzsWiqiQ6v098HPVb17x36f/r7v2ZyQjgRVRs6ncA7m45izPcHcCUjH97OSnwxtDU+e6YlpCyY6DYWTTVNQeadx76tqv79mz555/GqiKp/fyKicsot1ODltQexZt9l2EiA8Z3rY8e0bhjY0o8X4SUjVn3tOaqAy/v09271Abegqn9/B3egThv9mk2XdgMphwHfllUfBxGRCY4kZ2DyukO4eDMPNhJg7qAWGPyov6XDIivFnqaaJqH4osMW/N9R8YRwAFj/vOXiICK6j5MpWXhxZRwu3syDh6MSq8e0Y8FE98WiqaY58Zv+XulkuRikMmDoBv3jzMtA0n7LxUJEVIo9529i8LI9uJlbhCa+ztj2aid0aOBh6bDIyrFoqqmaPWXZ9w/pC/i31z/+boBlYyEiuq1ArcW8qFMY9s1eZBdo0NjHCd+NehReTraWDo2qARZNNUn6xTuPHx1jsTAMen2gv9cUAKd+t2wsRFTrpecWYeTK/fhyx3kIAfRu6o0N48JZMJHJOBG8Jkk7deex0tFycRQLaAc41wGyrgAxM4HgPvqhOyKiKnYuLRujVh3A5Vt5cFBIMXtQc54dR+XGnqaa5PTt3pyAcMvGcbdhP+rvb54F9iyxbCxEVCttP5WGp76MxeVbefB3s8PGiR3xRKs6LJio3Fg01STFQ2C2LhYNw4hPKDDwdrG0fTZwNcGi4RBR7aHTCSyMOYNR38Uhu0CDVv4u2DSxI0J8LHiiDFVrLJpqkryb+vumT1g2jnu1fh4I7g1oC4HfpwI6naUjIqIa7lRqFiIW78bnf5+FEMDQtv5YP649PByVlg6NqjEWTTWFOv/O44B2loujNBKJvrdJ4QRciQe2f2TpiIioBos6loKhX+/FiZQs2Mml+PSZlpgzqAVs5VJLh0bVHIummuL67UngCifA1QIrgT+Ikzfw2FT947gVQH6GRcMhopont1CDN38+ggmrDyI9T43mdVT4981ueDqsrqVDoxqCRVNNUTxXqG4bfc+ONeowSX9fkAH8+6lFQyGimuVcWg4iFu/GhgNJkEiA8V3q46cJ4RyOI7Ni0VRTXD2kv/drbdk47kcqv7NSeOxi4NQ2y8ZDRNVebqEG3/x7AYO+/A+JN3Lhq7LF2jHtMaNfEw7Hkdlx0ZyaIvmA/t6vlUXDeKCQvkDjCODUVuCX0cD4fwGPhpaOioiqmdTMAizbdR6bDl1BRp4aANDS3wXfjmgDd/YuUSVh0VQTZKUAaccBiQ0Q2NHS0TzY0yuBVf2B5Dhg3RBg3A7LXiuPiKqN7AI1folPxmfRZ5BdqAEA1HGxwyvdG+KZsLqQSTmAQpWHRVNNkHpEf+/eEHCoBheclCmAIWuA5d2Am+eAH57SL4Jp72bpyIjISmXkFWFBzBms238Zaq0AADT1dcaErg3Qu6k3h+KoSrBoqgmS9uvv6z5q2TjKw8kbeGYVsOpxfY/T6kHAyG2Awt7SkRGRFSlQa7Hyv4v4etd5pN8ehgvycMAL4YEY3j6QPUtUpVg01QRJ+/T3/la2PtOD+LfVF0qr/08/kf3nUcDT37JwIiLkFGqwfv9lfLs7EVczCwAAwV6OeDeiKToHe/ASKGQRLJqqO3X+nUng1a1oAgD/R4Fn1+gLpzN/ACv7AiO2ArbOlo6MiCwgI68I3++5hBW7E5GZr+9Z8nG2xdRejfBk6zpQyNizRJbDoqm6u7gb0OQDznUBzxBLR1MxQY8BwzcC64YBKYeBH54Env8FsHO1dGREVEVyCjVYGHMG3++5aJizVN/TAWM61ccTrfzgoOSfK7I8/hRWd2ej9ffBvax3UUtT1OsEjPhNPyn8Sjzw3QD90B17nIhqLI1Wh98SrmLrkav479xNFGn116Vs6uuMl7o2QP/mvpDaVOPfa1TjsGiq7k5u0d8H97JsHObg1xoY+bu+YEo9Cmx4HnhiCeASYOnIiMiMrmUVYO2+y9h06Aou38ozbK/raofIAc3Qs6m3BaMjKhuLpurs0h4gO0X/OKizZWMxF+9mwLPr9D1OiTuBxW2AJ/4HtHjG0pER0UNIvJGLv09eQ/Txa9h/8ZZhu6u9HMPD66FnEy80r6PiBG+yaiyaqrOVfe88rkmLQwa0A17cBvz5NnDpP2DTOODSbqDfPEDGlX6JqovMfDX2nbyBNfsuIfb8TaPXQus4Y8ijARjUug7nK1G1wZ/U6ion7c7jJ760XByVxa+V/iy6P6YDcd8A8auA62eAQcs4XEdkpQrUWhxJzsSOU9fw+1EpXtu7HTpx5/VH67miTzMf9GvuizoudpYLlKiCWDRVV0d/0t/XfRRo/ZxlY6ksNjbA458BAeHAby8Dl2OBRc2BR8cC/edX74nvRDVEfpEWMSev4fcjV7Hj9HUUanS3X9H/+wxws0dEC18MbuOPeh4OlguUyAxYNFVXf76tv28xxLJxVIXmTwOejfWFU0oCELccuLAdeHKpfoFMIqpSGXlF2HH6OmJOXsOu09cN14ADAA9HBdoFucE57womPNkVgZ48A5ZqDhZN1YxOJyA59hMkAIRECkno/1k6pKrhEwqM/QfYvQD45yP9NetW9AIeGQH0jOR164gqUUZeEXaeuY4dp68j7uItJKfnG71e19UOT7TyQ//mvmjq6wyNRoNt25LhxyE4qmFYNFUDr/14BAkXpIg8vB1Z+YU4rxwLALisc0e3D/fAz0X/C6u1vyta1FXBy9nWwhFXEhsp0Hk6EPp/wN8fAsc3Age/A078BvR4DwgbZekIiWqEzHw19ifewq4z17Ev8SbOpuVACOM2wV6O6NXUG90be+GRAFfYcD0lqgVYNFUDp1KzkZwrAaDG0dsFEwCMKHoTOgEkp+fjf9vPG7bX93BAK38XNK+rwsgO9WreKbxu9YFnVgKPjgG2TgFunAF+fx048hPQe7aloyOqVvKKNDidmo1zaTk4nZqNuEvpOJKcUaJICvF2QoeG7mhZ1wWdgj3g7qCoeb9biB6ARVM18GbfRtgfdwD9O7eD0/d3usW/nzYMJ1OzkJZVgH/P3sDBy+m4kVOECzdyceFGLjYeuoK9F27ii6GtoZRJLfgJKkm9jsCE3cDepcDOeUDSXshXdMejLo9CckYCBPfkxX+JoB/WT8suxMWbuTiVkoWk9HxcSc/HxZu5OH89x3DZkrvV93BA+wbu6NLIEy3rusBHVUN7sInKgUVTNdC1kSfyzgm0ODH/zsY3LyHAzh4B7vqiYHh4PQghsPnwVUQdS8Ufx1IBAH8ev4YJP8Tj6xfaQC6tgRe6lCmBTlOAZk8By7sBeTfhlxEH/DRc/3qjvkCb0UBAe16ShWo0nU7gSkY+zl/PwaWbebh0Mw+Xb+Xevs+766y2kjwcFWjk7YSGXo5o5ueMx4I9OR+JqBQsmqqJOrdiIb20XP+k3QTAzqVEG4lEgida1cETreoAAKKPp+LltQex/fR1jFy5H9+92Baymlg4AYBrIPDGBaiTDiJp82wEZe6BpCgHOBOlvwGAV1OgxWCg5VDAycey8RJVUHaBGok39MXQyZQsnL+egysZ+Th7Lee+hZHURoI6LnZo4OmAYG8n+DjbIsjDAfU9HRDozqUAiEzBoqk6yLqCNpe+0j9u+iTQd65Ju/Vu5oMFg1vh1fWH8N+5m+j0yXZserkDfFU1+H+QPs1xtO5w+I9dA3n8Cv3aTkn7gZxrQNoJ4K9I4K9Z+gsEN47QTyp39LR01EQlZBeoceZaNo5dycLlW3m4mpGPw0kZuJpZUOY+CqkN6nnYo567AwLd7RHg7oBAN3sEutvDz8WuZvY2E1UhFk3VgHTr5DtPBn1drkUdB7T0g51cilfWHURqVgG6zt+B6X1CMKpjUM0+20ViA4RP1N8AIPeG/uLGCWuB5P3AxX/1t6g3AZW/fh0ozxDAOxQI6VdqTx6ROeQVaXAlPR9p2YW4lVuE9Lwi3MotQla+Bpn5alzJyEPijVxcyyos8xgejgrUc3dAPQ8HNK+jgq/KFg28HFHP3QHSmvzvmsjCWDRZu/wMSNIvAQDUo/6CvALXXuvZ1Bs/jG6HN34+gsQbufjo95P483gq3n28KVr6u5g5YCvl4AG0eVF/S7+kX67gyE9A2nEgM0l/Oxdzp73KXz+c59Mc8G4KuDcEPEIAOSfDUukK1FpcydBPsL6SkY/MfDVyCvSFUGpWAVIy85GSUYCbuUUmH9PTSYlmfs4I9nKEr8oO9T0d0DrAFSo7eSV+EiIqC4sma2fnAs343Tjw00K08W1V4cM8Ws8Nf0/tgi/+OYtFf51F3MV0PPG//zCgpR9e79Wodl3ewDUQ6PSa/pZ3C7h+Sn9LOQwk7gJuXbhTSJ3903hf7+aARzDg2wLwb6cvpOzdeEmXakYIgSKtDvlFWuTdvukfa5Cn1j/OLlAjK1+jvy/QILugCOcv2uDn6/HILdIit1CLnEINcos0yC3UlHoGWlmclDL4qGzh5qCAm4MCLvYKqOzkUNnJ4e2sRH1PRwR5OLA4IrIyLJru8eWXX2L+/PlISUlBs2bNsGjRIjz22GOWDUpmizRVy4c+jI2NBFN6NkLPJt5Y/M9Z/Hn8GrYcvooth68CABYPbY3ujb1q1xXH7d2AwA76GwAIAeTd1K/9lHJEX0hdPwlcPaR//dpR/e34xjvHkCoAew/A2Q9wrQe4BQGquoBzHcCnBeDgqb+OHj2QEAIFap2+eCnSokirQ5FGB7VWfyvU6KDWChRp9G2Ki558tfb2cx3y1ZqShZChjX5bvloLrc70IucOG+DWzTJfdVBIUcfVDnVc7ODmoISTrQxOtjJ4OdvCT2ULX5Ud/Fxs4WKvqHiSiMhiatFfxwfbsGEDpkyZgi+//BIdO3bEsmXL0K9fP5w4cQIBAQGWDs9sQuuosGx4G+w6cx2zt53EqdRsAMCkdfrCwN/NDo28nNC8rgqeTkrU93BEgLs9fJ1ta/Y8KEDfY+Tgob8VF1KAvpjKuAwk7gTSTgE3TgPXzwCZlwFtEZB9VX+7cqC0gwJ2roC9u75Is3MFlE6Agxfg4g84egEyO0CmAOT2gMIRUDjo2ygcAZktoM7Tv4/SCZCap/dBCAG1Tj/hWBTqixG1VgeNTkB7100nbj8WAgVFWhRqiosXfUFTXNgYPb6r2Cl+rUCjRYFahwK19vbtrsca/eN8tbbEooqVTS6VwE4uhb1CBnuFFHYKKewVUjjZyuFkK4OzrRyOtjLYyyS4eO402j7SAip7JRyUMjgoZXC8fe9kK4OTUsYFH4lqMBZNd1mwYAFGjx6NMWPGAAAWLVqEP//8E0uXLsWcOXMsHJ35dW7kic6NPPHNvxfw98k0nL+eg7TsQiTdykfSrXz8fSrNqL1cKoGLvQJu9go42srg5qCAk1IGe6UUcqkNZDYSSG2K7yVQym1gI5HARgJIIIFEAthI7tzbSADcvreRSCABoJDp9xHQ/+W8+w9o8WNheC6MngOARqPF0TQJcuOTIZVKS+xjfBxxz/N7Ghi9V/H9Y4DTYxBOAIIAqbYAysJbsCu6BYeCVDjlJ8MpPxkOhWlwzrsMl7yL+qPk39Lfyu6kMJkWNtBBCo1EBi2k0Eqk0EAGDaTQQgoNpFBDCo2QoggyFAkZiiBDjrBFtrBFEWTQCBuohb7tj/E/IU8ooYZMvx+kKIQcasigExLoYAMBQMAGOkiggwQ2ELCT3JmoLCAxtNVBon9+V3sBye24bWADGewA2EJi2NdAAojbRYdcKoFMeudnSya1Mfx8yWRSKKU2UMqlUMr197YyGRRyKWxlNlDIpVDKbGArl0Epk8JWbgNbufR2exls5Ta3t0vvWobjdhyGoqf4uQCghlqjxe4bl9CpTj3IFbb6kw2KaQDk3L5VFWsuzjQaOBRe0w91yyrpz4zFP7+Z3l+jgX1hGpB+sXy5qimfvzw0GtgVXge0akBumaFriRBV/f8661RUVAR7e3v89NNPeOqppwzbX331VSQkJGDnzp0l9iksLERh4Z0/HFlZWfD398eNGzfg7Gy+hRTVajViYmLQq1cvyCvxB0UIgdQs/arBJ1Kycf56Lq5lFeDizTwkp+ejQqMZtZwcGrggBy6SHLgiG26SbKgkuXBCHrwkGfCT3ICHJAsKqKGEGnYohIOkAPYohAMKYCNh0omI7pY/Zjdk3o3NesysrCx4eHggMzPzvn+/2dN0240bN6DVauHt7W203dvbG6mpqaXuM2fOHMyaNavE9ujoaNjbm//yHTExMQ9uZCa+AHwVADz0N60OyFQDeRogVyNB7u3HBVqgSCeBTgA6AWiFvldGIwCNDrd7KPTb7r7H7ce6ux4LAOq71uYr7f8xpf3n6t5NEsl9XivnMSX3bijnMWUSG9hInPU3AHkSIF8CpAFIlOjbySTidm/cnX1tANhAB4UogkJSBI1ECZ1ECltRAAXUkAotFBItZNBCLtHfZLhzk0NjuJdCC4VQQykKoBAFkAkNbG73+8iEFjJoIBNFsBEa2AgtJEILma4AEui/TAkEJMLwTUECHQAJtDYKQy9Rybbirm06w3YboTHqyZPc+Wko5TswdO+Vvv3efW63u/N9GPUvGr8mROnb7zmmRJR8Lwl0hs9YVar8//RV/n/pqn2/qu8jqdn5rOq3+++/WOTaXjDrMfPy8kxqx6LpHvfORxBClDlHYcaMGZg6darheXFPU+/evatlT1NNwFyZjrkqH+bLdNaeK2vqv7X2XFmTysxVVlaWSe1YNN3m4eEBqVRaolcpLS2tRO9TMaVSCaWy5LpJcrm8Un74K+u4NRFzZTrmqnyYL9MxV6ZjrkxXGbky9Xg8D/o2hUKBsLCwEkNgMTEx6NChQxl7ERERUW3Bnqa7TJ06FcOHD0ebNm0QHh6Or7/+GpcvX8aECRMsHRoRERFZGIumuwwZMgQ3b97EBx98gJSUFISGhmLbtm0IDAy0dGhERERkYSya7jFx4kRMnDjR0mEQERGRleGcJiIiIiITsGgiIiIiMgGLJiIiIiITsGgiIiIiMgGLJiIiIiITsGgiIiIiMgGLJiIiIiITsGgiIiIiMgGLJiIiIiITcEVwMxJCAACysrLMely1Wo28vDxkZWXxKtgPwFyZjrkqH+bLdMyV6Zgr01Vmror/bhf/HS8LiyYzys7OBgD4+/tbOBIiIiIqr+zsbKhUqjJfl4gHlVVkMp1Oh6tXr8LJyQkSicRsx83KyoK/vz+SkpLg7OxstuPWRMyV6Zir8mG+TMdcmY65Ml1l5koIgezsbPj5+cHGpuyZS+xpMiMbGxvUrVu30o7v7OzMf1QmYq5Mx1yVD/NlOubKdMyV6SorV/frYSrGieBEREREJmDRRERERGQCFk3VgFKpxMyZM6FUKi0ditVjrkzHXJUP82U65sp0zJXprCFXnAhOREREZAL2NBERERGZgEUTERERkQlYNBERERGZgEUTERERkQlYNFUDX375JYKCgmBra4uwsDD8+++/lg6pyu3atQsDBgyAn58fJBIJfv31V6PXhRCIjIyEn58f7Ozs0LVrVxw/ftyoTWFhISZNmgQPDw84ODhg4MCBSE5OrsJPUfnmzJmDRx99FE5OTvDy8sKTTz6J06dPG7VhrvSWLl2KFi1aGBbKCw8Pxx9//GF4nXkq25w5cyCRSDBlyhTDNubrjsjISEgkEqObj4+P4XXmytiVK1fw/PPPw93dHfb29mjVqhXi4+MNr1tVvgRZtfXr1wu5XC6WL18uTpw4IV599VXh4OAgLl26ZOnQqtS2bdvEO++8I3755RcBQGzatMno9blz5wonJyfxyy+/iKNHj4ohQ4YIX19fkZWVZWgzYcIEUadOHRETEyMOHjwounXrJlq2bCk0Gk0Vf5rK06dPH7Fy5Upx7NgxkZCQIB5//HEREBAgcnJyDG2YK73NmzeL33//XZw+fVqcPn1avP3220Iul4tjx44JIZinsuzfv1/Uq1dPtGjRQrz66quG7czXHTNnzhTNmjUTKSkphltaWprhdebqjlu3bonAwEAxcuRIsW/fPpGYmCj++usvce7cOUMba8oXiyYr17ZtWzFhwgSjbY0bNxZvvfWWhSKyvHuLJp1OJ3x8fMTcuXMN2woKCoRKpRJfffWVEEKIjIwMIZfLxfr16w1trly5ImxsbERUVFSVxV7V0tLSBACxc+dOIQRz9SCurq7im2++YZ7KkJ2dLYKDg0VMTIzo0qWLoWhivozNnDlTtGzZstTXmCtjb775pujUqVOZr1tbvjg8Z8WKiooQHx+P3r17G23v3bs3YmNjLRSV9UlMTERqaqpRnpRKJbp06WLIU3x8PNRqtVEbPz8/hIaG1uhcZmZmAgDc3NwAMFdl0Wq1WL9+PXJzcxEeHs48leHll1/G448/jp49exptZ75KOnv2LPz8/BAUFIRnn30WFy5cAMBc3Wvz5s1o06YNnnnmGXh5eaF169ZYvny54XVryxeLJit248YNaLVaeHt7G2339vZGamqqhaKyPsW5uF+eUlNToVAo4OrqWmabmkYIgalTp6JTp04IDQ0FwFzd6+jRo3B0dIRSqcSECROwadMmNG3alHkqxfr163Hw4EHMmTOnxGvMl7F27drh+++/x59//only5cjNTUVHTp0wM2bN5mre1y4cAFLly5FcHAw/vzzT0yYMAGTJ0/G999/D8D6frZkZj0aVQqJRGL0XAhRYhtVLE81OZevvPIKjhw5gt27d5d4jbnSCwkJQUJCAjIyMvDLL79gxIgR2Llzp+F15kkvKSkJr776KqKjo2Fra1tmO+ZLr1+/fobHzZs3R3h4OBo0aIDvvvsO7du3B8BcFdPpdGjTpg1mz54NAGjdujWOHz+OpUuX4oUXXjC0s5Z8safJinl4eEAqlZaolNPS0kpU3bVZ8Vkp98uTj48PioqKkJ6eXmabmmTSpEnYvHkztm/fjrp16xq2M1fGFAoFGjZsiDZt2mDOnDlo2bIlPv/8c+bpHvHx8UhLS0NYWBhkMhlkMhl27tyJL774AjKZzPB5ma/SOTg4oHnz5jh79ix/tu7h6+uLpk2bGm1r0qQJLl++DMD6fmexaLJiCoUCYWFhiImJMdoeExODDh06WCgq6xMUFAQfHx+jPBUVFWHnzp2GPIWFhUEulxu1SUlJwbFjx2pULoUQeOWVV7Bx40b8888/CAoKMnqdubo/IQQKCwuZp3v06NEDR48eRUJCguHWpk0bPPfcc0hISED9+vWZr/soLCzEyZMn4evry5+te3Ts2LHEsihnzpxBYGAgACv8nWXWaeVkdsVLDqxYsUKcOHFCTJkyRTg4OIiLFy9aOrQqlZ2dLQ4dOiQOHTokAIgFCxaIQ4cOGZZemDt3rlCpVGLjxo3i6NGjYujQoaWeklq3bl3x119/iYMHD4ru3bvXuFN4X3rpJaFSqcSOHTuMTnfOy8sztGGu9GbMmCF27dolEhMTxZEjR8Tbb78tbGxsRHR0tBCCeXqQu8+eE4L5utvrr78uduzYIS5cuCD27t0rIiIihJOTk+H3NnN1x/79+4VMJhMff/yxOHv2rFizZo2wt7cXq1evNrSxpnyxaKoG/ve//4nAwEChUCjEI488Yjh9vDbZvn27AFDiNmLECCGE/rTUmTNnCh8fH6FUKkXnzp3F0aNHjY6Rn58vXnnlFeHm5ibs7OxERESEuHz5sgU+TeUpLUcAxMqVKw1tmCu9UaNGGf5deXp6ih49ehgKJiGYpwe5t2hivu4oXkdILpcLPz8/MWjQIHH8+HHD68yVsS1btojQ0FChVCpF48aNxddff230ujXlSyKEEObtuyIiIiKqeTiniYiIiMgELJqIiIiITMCiiYiIiMgELJqIiIiITMCiiYiIiMgELJqIiIiITMCiiYiIiMgELJqIqNqIjIxEq1atLPb+7733HsaNG3ffNl27dsWUKVOqJiAAjz76KDZu3Fhl70dUm7FoIiKrIJFI7nsbOXIkpk2bhr///tsi8V27dg2ff/453n77bYu8f1nee+89vPXWW9DpdJYOhajGY9FERFYhJSXFcFu0aBGcnZ2Ntn3++edwdHSEu7u7ReJbsWIFwsPDUa9ePYu8f1kef/xxZGZm4s8//7R0KEQ1HosmIrIKPj4+hptKpYJEIimx7d7huZEjR+LJJ5/E7Nmz4e3tDRcXF8yaNQsajQbTp0+Hm5sb6tati2+//dbova5cuYIhQ4bA1dUV7u7ueOKJJ3Dx4sX7xrd+/XoMHDjQaFtubi5eeOEFODo6wtfXF5999lmJ/VavXo02bdrAyckJPj4+GDZsGNLS0gAAQgg0bNgQn376qdE+x44dg42NDc6fPw9APywZEBAApVIJPz8/TJ482dBWKpWif//+WLdu3QNzTEQPh0UTEVVr//zzD65evYpdu3ZhwYIFiIyMREREBFxdXbFv3z5MmDABEyZMQFJSEgAgLy8P3bp1g6OjI3bt2oXdu3fD0dERffv2RVFRUanvkZ6ejmPHjqFNmzZG26dPn47t27dj06ZNiI6Oxo4dOxAfH2/UpqioCB9++CEOHz6MX3/9FYmJiRg5ciQA/ZDkqFGjsHLlSqN9vv32Wzz22GNo0KABfv75ZyxcuBDLli3D2bNn8euvv6J58+ZG7du2bYt///33YdJIRKYw+yWAiYge0sqVK4VKpSqxfebMmaJly5aG5yNGjBCBgYFCq9UatoWEhIjHHnvM8Fyj0QgHBwexbt06IYQQK1asECEhIUKn0xnaFBYWCjs7O/Hnn3+WGs+hQ4cEAKOrpmdnZwuFQiHWr19v2Hbz5k1hZ2cnXn311TI/2/79+wUAkZ2dLYQQ4urVq0IqlYp9+/YJIYQoKioSnp6eYtWqVUIIIT777DPRqFEjUVRUVOYxf/vtN2FjY2OUByIyP/Y0EVG11qxZM9jY3PlV5u3tbdQTI5VK4e7ubhgSi4+Px7lz5+Dk5ARHR0c4OjrCzc0NBQUFhuGwe+Xn5wMAbG1tDdvOnz+PoqIihIeHG7a5ubkhJCTEaN9Dhw7hiSeeQGBgIJycnNC1a1cAwOXLlwEAvr6+ePzxxw1DiFu3bkVBQQGeeeYZAMAzzzyD/Px81K9fH2PHjsWmTZug0WiM3sPOzg46nQ6FhYWmJ46Iyo1FExFVa3K53Oi5RCIpdVvx2WU6nQ5hYWFISEgwup05cwbDhg0r9T08PDwA6IfpigkhHhhbbm4uevfuDUdHR6xevRpxcXHYtGkTABgNBY4ZMwbr169Hfn4+Vq5ciSFDhsDe3h4A4O/vj9OnT+N///sf7OzsMHHiRHTu3Blqtdqw/61bt2Bvbw87O7sHxkREFceiiYhqlUceeQRnz56Fl5cXGjZsaHRTqVSl7tOgQQM4OzvjxIkThm0NGzaEXC7H3r17DdvS09Nx5swZw/NTp07hxo0bmDt3Lh577DE0btzY0ON1t/79+8PBwQFLly7FH3/8gVGjRhm9bmdnh4EDB+KLL77Ajh07sGfPHhw9etTw+rFjx/DII49UOCdEZBoWTURUqzz33HPw8PDAE088gX///ReJiYnYuXMnXn31VSQnJ5e6j42NDXr27Indu3cbtjk6OmL06NGYPn06/v77bxw7dgwjR440GioMCAiAQqHA4sWLceHCBWzevBkffvhhieNLpVKMHDkSM2bMQMOGDY2G/FatWoUVK1bg2LFjuHDhAn744QfY2dkhMDDQ0Obff/9F7969zZEeIroPFk1EVKvY29tj165dCAgIwKBBg9CkSROMGjUK+fn5cHZ2LnO/cePGYf369UaLSM6fPx+dO3fGwIED0bNnT3Tq1AlhYWGG1z09PbFq1Sr89NNPaNq0KebOnVtieYFio0ePRlFRUYleJhcXFyxfvhwdO3ZEixYt8Pfff2PLli2G9aquXLmC2NhYvPjiiw+TFiIygUSYMjBPRFTLCSHQvn17TJkyBUOHDjX78f/77z907doVycnJ8Pb2Nnm/6dOnIzMzE19//bXZYyIiY+xpIiIygUQiwddff13izLWHVVhYiHPnzuG9997D4MGDy1UwAYCXl1epQ35EZH7saSIisqBVq1Zh9OjRaNWqFTZv3ow6depYOiQiKgOLJiIiIiITcHiOiIiIyAQsmoiIiIhMwKKJiIiIyAQsmoiIiIhMwKKJiIiIyAQsmoiIiIhMwKKJiIiIyAQsmoiIiIhMwKKJiIiIyAT/D4HGUBPl31NXAAAAAElFTkSuQmCC", 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" ] @@ -130,7 +120,14 @@ " rabbits = [rabbit] #list of rabbits\n", " foxes = [fox] #list of foxes\n", " \n", - " \n", + " second_peak_foxes = []\n", + " second_peak_times = []\n", + " upper_quartile_foxes = np.zeros(runs)\n", + " lower_quartile_foxes = np.zeros(runs)\n", + " upper_quartiles_times = np.zeros(runs)\n", + " lower_quartiles_times = np.zeros(runs)\n", + "\n", + "\n", " while time < end_time: #while time is less than end time\n", " rate_rb = k1 * rabbit #rate of rabbit birth\n", " rate_rd = k2 * rabbit * fox #rate of rabbit death\n", @@ -142,6 +139,9 @@ " cumulative_rates=rates.cumsum() #cumulative sum of rates\n", " total_rate=cumulative_rates[-1] #total rate is last element of cumulative sum\n", " \n", + " if total_rate == 0: #if total rate is 0\n", + " break #end run\n", + "\n", " u = np.random.uniform(0,1) #random number between 0 and 1\n", " for i, cum_rates in enumerate(cumulative_rates): #tries to unpack the same name\n", " if cum_rates / total_rate > u: #if the cumulative rate divided by total rate is greater than random number\n", @@ -178,7 +178,9 @@ "prob = nofox / runs\n", "print(\"Probability of fox extinction: \", prob)\n", "\n", - "# plt.figure(figsize=(10,6))\n", + "max_rabbits = max(rabbits)\n", + "\n", + "# plots final populations\n", "plt.plot(times, rabbits, label='Rabbits')\n", "plt.plot(times, foxes, label='Foxes')\n", "plt.xlabel('Time (days)')\n", @@ -188,13 +190,6 @@ "plt.grid(True)\n", "plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": {