From 27d81ac4c327674ec7a0edeb257b56f6e87611df Mon Sep 17 00:00:00 2001 From: Roel Smit Date: Sun, 30 Nov 2025 19:15:33 +0100 Subject: [PATCH 1/3] complete arbeid with answers and extra exercise --- book/Q2/arbeid.ipynb | 459 +++++++++++++++++++------------------------ 1 file changed, 202 insertions(+), 257 deletions(-) diff --git a/book/Q2/arbeid.ipynb b/book/Q2/arbeid.ipynb index 4cfdb65..7a12ed5 100644 --- a/book/Q2/arbeid.ipynb +++ b/book/Q2/arbeid.ipynb @@ -27,11 +27,10 @@ "\n", "We beginnen weer met de noodzakelijke pakketten en de constanten. Daar voegen we nu een constante aan toe: de startsnelheid van de zuiger. \n", "\n", - "```{exercise}\n", - "Neem de constanten die je in het vorige werkblad hebt gekozen hieronder over. Let op dat de snelheid van de zuiger tien maal zo laag is als bij het vorige werkblad.\n", - "```\n", - "\n", - "(Tekst Freek: 10 deeltjes, met bewegend wand, eerst isotherm (snelheid van deeltjes niet gewijzigd) - snelheid van deeltjes verandert wel door beweging vd wand. p(t) en p(V))" + "```{exercise} Startwaardes\n", + ":label: ex-arbeid-01\n", + "Neem de constanten die je in het vorige werkblad hebt gekozen hieronder over. Let op dat de snelheid van de zuiger tien maal zo laag is als de startsnelheid van de deeltjes.\n", + "```" ] }, { @@ -46,6 +45,7 @@ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.animation import FuncAnimation\n", + "from scipy.optimize import curve_fit\n", "\n", "BOX_SIZE_0 = 0 # Hoogte en lengte startvolume\n", "N = 40 # Aantal deeltjes\n", @@ -53,30 +53,16 @@ "RADIUS = 0 # Straal van moleculen\n", "DT = 0 # Tijdstap om geen botsing te missen\n", "V_PISTON_0 = -0.1 * V_0 # Startsnelheid van zuiger \n", - "# (negatief betekent zowel links als rechts naar binnen gericht)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "025943c3", - "metadata": {}, - "outputs": [], - "source": [ - "# voorbeelduitwerking\n", + "# (negatief betekent zowel links als rechts naar binnen gericht)\n", "\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from matplotlib.animation import FuncAnimation\n", - "from scipy.optimize import curve_fit\n", - "\n", - "BOX_SIZE_0 = 10 # Hoogte en breedte startvolume\n", + "### begin-solution\n", + "BOX_SIZE_0 = 1E-8 # Hoogte en breedte startvolume\n", "N = 40 # Aantal deeltjes\n", - "V_0 = 1 # Startsnelheid van deeltjes\n", - "RADIUS = 0.3 # Straal van moleculen\n", - "DT = 0.1 * RADIUS / V_0 # Tijdstap om geen botsing te missen\n", - "V_PISTON_0 = -0.1 # Startsnelheid van zuiger \n", - "# (negatief betekent zowel links als rechts naar binnen gericht)" + "V_0 = 400 # Startsnelheid van deeltjes\n", + "RADIUS = 3E-10 # Straal van moleculen\n", + "DT = 7.5E-14 # Tijdstap om geen botsing te missen 0.1 * RADIUS / V_0\n", + "V_PISTON_0 = -40 # Startsnelheid van zuiger \n", + "### end-solution" ] }, { @@ -89,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "15942646", "metadata": {}, "outputs": [], @@ -116,8 +102,10 @@ " \n", "def collide_detection(p1: ParticleClass, p2: ParticleClass) -> bool:\n", " \"\"\" Geeft TRUE als de deeltjes overlappen \"\"\"\n", - " return np.linalg.norm(p1.r - p2.r) < (p1.R + p2.R)\n", - "\n", + " dx = p1.r[0]-p2.r[0]\n", + " dy = p1.r[1]-p2.r[1]\n", + " rr = p1.R + p2.R\n", + " return dx**2+dy**2 < rr**2 \n", "\n", "def particle_collision(p1: ParticleClass, p2: ParticleClass):\n", " \"\"\" past snelheden aan uitgaande van overlap \"\"\"\n", @@ -146,17 +134,17 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "67afb166", "metadata": {}, "outputs": [], "source": [ - "box_height = BOX_SIZE_0\n", - "box_length = BOX_SIZE_0\n", - "impulse_outward = 0.0 \n", - "pressure = 0.0\n", - "v_piston = V_PISTON_0\n", - "work = 0.0" + "box_height = BOX_SIZE_0 # hoogte van beheersvolume\n", + "box_length = BOX_SIZE_0 # breedte van beheersvolume\n", + "impulse_outward = 0.0 # totale stoot van deeltjes naar buiten gericht\n", + "pressure = 0.0 # druk in beheersvolume\n", + "v_piston = V_PISTON_0 # huidige snelheid van zuiger \n", + "work = 0.0 # arbeid uitgevoerd door gas" ] }, { @@ -164,17 +152,18 @@ "id": "dbf49e65", "metadata": {}, "source": [ - "De functies die bij het volume en de randvoorwaarden horen moeten we een klein beetje aanpassen, zodat we niet langer uitgaan van de constante waarde van de lengte en hoogte. Om de variabelen `box_height` en `box_length` die we hierboven gedefinieerd hebben, later in functies te gebruiken, moeten we ze telkens oproepen met het keyword `global`. Dit is hieronder uitgewerkt. " + "De functies die bij het volume en de randvoorwaarden horen moeten we een klein beetje aanpassen, zodat we niet langer uitgaan van de constante waarde van de lengte en hoogte. Om de variabelen zoals `box_height` en `box_length` die we hierboven gedefinieerd hebben, later in functies te gebruiken, moeten we ze telkens oproepen met het keyword `global`. Dit is hieronder uitgewerkt. " ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "id": "d1532f73", "metadata": {}, "outputs": [], "source": [ "def top_down_collision(particle: ParticleClass):\n", + " \"\"\" botsingen met wanden onder en boven controleren en totale stoot bepalen \"\"\"\n", " global impulse_outward, box_height\n", " if abs(particle.r[1]) + particle.R > box_height / 2:\n", " particle.r[1] = np.sign(particle.r[1]) * (box_height/2 - particle.R)\n", @@ -182,6 +171,7 @@ " particle.v[1] *= -1\n", " \n", "def left_right_collision(particle: ParticleClass):\n", + " \"\"\" botsingen met wanden links en rechts controleren en totale stoot bepalen \"\"\"\n", " global impulse_outward, box_length\n", " if abs(particle.r[0]) + particle.R > box_length / 2:\n", " particle.r[0] = np.sign(particle.r[0]) * (box_length/2 - particle.R)\n", @@ -194,16 +184,17 @@ "id": "b3b0cc7f", "metadata": {}, "source": [ - "En dan laden we ook alle functies die over de gehele lijst met deeltjes werken, waarbij een paar kleine aanpassingen nodig zijn vanwege de splitsing in het botsen met de wanden aan de onder- en bovenkant en de wanden links en recht. Ook hier roepen we een aantal variabelen met `global` aan.\n", + "En dan laden we ook alle functies die over de gehele lijst met deeltjes werken, waarbij een paar kleine aanpassingen nodig zijn vanwege de splitsing in het botsen met de wanden. Ook hier roepen we een aantal variabelen met `global` aan.\n", "\n", - "```{exercise}\n", + "```{exercise} Startfuncties\n", + ":label: ex-arbeid-02\n", "Pas de code voor de temperatuur weer aan naar de code die je in de vorige werkbladen hebt gebruikt.\n", "```" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "id": "40f14a8b", "metadata": {}, "outputs": [], @@ -221,6 +212,13 @@ " \n", "def temperature(particles) -> float:\n", " # De oplossing van je vorige werkblad\n", + " ### begin-solution\n", + " temp = 0.0\n", + " for p in particles:\n", + " temp += p.kin_energy\n", + " temp = 28 * 1.7E-27 * temp / (len(particles) * 1.38E-23) \n", + " return temp\n", + " ### end-solution\n", " return 0.0\n", " \n", "def handle_collisions(particles):\n", @@ -248,23 +246,6 @@ " handle_walls(particles) \n" ] }, - { - "cell_type": "code", - "execution_count": 7, - "id": "efb8ae39", - "metadata": {}, - "outputs": [], - "source": [ - "# voorbeelduitwerking\n", - "\n", - "def temperature(particles) -> float:\n", - " temp = 0.0\n", - " for p in particles:\n", - " temp += p.kin_energy\n", - " temp = temp / len(particles)\n", - " return temp" - ] - }, { "cell_type": "markdown", "id": "f8e7fe08", @@ -279,18 +260,18 @@ "id": "9a2157bd", "metadata": {}, "source": [ - "Voordat we nog meer veranderingen aan de code doorvoeren, moeten we eerst controleren of alles nog werkt." + "Voordat we nog meer veranderingen aan de code doorvoeren, moeten we eerst controleren of alles nog werkt. Onderstaande functie is een beetje aangepast ten opzichte van vorige werkbladen, omdat we merkten dat de vorm van de pijlen wel eens de mist in ging bij een heel andere keuze voor eenheden in de constanten." ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "id": "04974e09", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -314,8 +295,8 @@ "\n", "for p in particles:\n", " plt.plot(p.r[0], p.r[1], 'k.', ms=25)\n", - " plt.arrow(p.r[0], p.r[1], p.v[0], p.v[1], \n", - " head_width=0.05, head_length=0.1, color='red')\n", + " plt.arrow(p.r[0], p.r[1], p.v[0]*DT*30, p.v[1]*DT*30, width=.2*RADIUS,\n", + " head_width=RADIUS, head_length=RADIUS, color='red')\n", "plt.show()" ] }, @@ -324,12 +305,12 @@ "id": "d9d983b7", "metadata": {}, "source": [ - "Nu implementeren we de zuiger door het toegestane gebied voor de gasdeeltjes bij elke tijdstap te verkleinen met een stap $v_{\\text{piston}}*dt$." + "Nu implementeren we de zuiger door het toegestane gebied voor de gasdeeltjes bij elke tijdstap te verkleinen met een stap $2*v_{\\text{piston}}*dt$. De factor 2 komt doordat de linker en de rechter wand allebei een zuigerwand zijn. " ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "id": "f9fa07f5", "metadata": {}, "outputs": [], @@ -349,18 +330,18 @@ "id": "911b807e", "metadata": {}, "source": [ - "Hiermee draaien we een kleine simulatie over 1000 tijdstappen die kijkt naar de temperatuur als functie van het (oppervlak van) het volume." + "Hiermee draaien we een kleine simulatie die kijkt naar de temperatuur als functie van het oppervlak/volume." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "efef4ce8", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -370,24 +351,26 @@ } ], "source": [ + "# we kiezen het aantal datapunten zodat het volume tot 1/3e reduceert\n", + "num_steps = round(2/3 * BOX_SIZE_0 / (2 * -V_PISTON_0 * DT))\n", + "\n", "particles = []\n", - "volumes = np.zeros(1000, dtype=float)\n", - "temperatures = np.zeros(1000, dtype=float)\n", - "# times = np.linspace(1, 100, 100)\n", + "volumes = np.zeros(num_steps, dtype=float)\n", + "temperatures = np.zeros(num_steps, dtype=float)\n", "\n", "box_length = BOX_SIZE_0 # zetten zuiger terug\n", "v_piston = V_PISTON_0\n", "create_particles(particles) # resetten deeltjes \n", - "for i in range(1000):\n", + "for i in range(num_steps):\n", " take_time_step(particles)\n", " volumes[i] = box_length * box_height\n", " temperatures[i] = temperature(particles)\n", "\n", "plt.figure()\n", - "plt.xlabel('Volume [nm$^2$]')\n", - "plt.ylabel('Temperature [K]')\n", + "plt.xlabel('Volume')\n", + "plt.ylabel('Temperature')\n", "\n", - "temperatures = np.asarray(temperatures) * 30 * 1.7E-27 * (1E-9 / 2.5E-12)**2 / 1.38E-23\n", + "temperatures = np.asarray(temperatures)\n", "\n", "plt.plot(volumes, temperatures, '-r')\n", "\n", @@ -408,7 +391,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 9, "id": "0c795e31", "metadata": {}, "outputs": [], @@ -429,18 +412,24 @@ "id": "3ac90c57", "metadata": {}, "source": [ - "Nu kunnen we de simulatie opnieuw uitvoeren:" + "Nu kunnen we de simulatie opnieuw uitvoeren:\n", + "\n", + "\n", + "```{exercise} Getallen en eenheden\n", + ":label: ex-arbeid-03\n", + "Pas de code aan, zodat de getalwaardes op de assen kloppen en de juiste eenheden in de titels van de assen vermeld staan.\n", + "```" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "df1afb88", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -450,15 +439,16 @@ } ], "source": [ + "num_steps = round(2/3 * BOX_SIZE_0 / (2 * -V_PISTON_0 * DT))\n", + "\n", "particles = []\n", - "volumes = np.zeros(1000, dtype=float)\n", - "temperatures = np.zeros(1000, dtype=float)\n", - "# times = np.linspace(1, 100, 100)\n", + "volumes = np.zeros(num_steps, dtype=float)\n", + "temperatures = np.zeros(num_steps, dtype=float)\n", "\n", "box_length = BOX_SIZE_0 # zetten zuiger terug\n", "v_piston = V_PISTON_0\n", "create_particles(particles) # resetten deeltjes \n", - "for i in range(1000):\n", + "for i in range(num_steps):\n", " take_time_step(particles)\n", " volumes[i] = box_length * box_height\n", " temperatures[i] = temperature(particles)\n", @@ -469,6 +459,13 @@ "\n", "temperatures = np.asarray(temperatures)\n", "\n", + "### begin-solution\n", + "plt.xlabel('Volume [m$^{2}$]')\n", + "plt.ylabel('Temperature [K]')\n", + "# volume correct in nm^2\n", + "# temperatures in K\n", + "### end-solution\n", + "\n", "plt.plot(volumes, temperatures, '-r')\n", "\n", "plt.show()" @@ -481,45 +478,21 @@ "source": [ "We zien nu een heel duidelijke afhankelijkheid van de temperatuur op het volume, zoals we ook verwachten vanwege de wet van behoud van energie. Natuurlijk willen we controleren of deze grafiek ook daadwerkelijk overeenkomt met onze verwachting, maar daarvoor is het waardevol om ook informatie te halen uit de andere grootheden. \n", "\n", - "```{exercise}\n", - "Maak een simulatie waarin niet de temperatuur, maar de druk als functie van het volume wordt geplot. Gebruik dezelfde waarden voor het aantal tijdstappen en het volume, zoals in de startcode die je hieronder al ziet.\n", + "```{exercise} Druksimulatie\n", + ":label: ex-arbeid-04\n", + "Maak een simulatie waarin niet de temperatuur, maar de druk als functie van het volume wordt geplot. Gebruik dezelfde waarden voor het aantal tijdstappen en het volume, zoals in de startcode die je hieronder al ziet. Let ook nu op getallen en eenheden.\n", "```" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "id": "03ac97c1", "metadata": {}, - "outputs": [], - "source": [ - "# breid deze code uit met jouw antwoord\n", - "\n", - "particles = []\n", - "volumes = np.zeros(1000, dtype=float)\n", - "pressures = np.zeros(1000, dtype=float)\n", - "# times = np.linspace(1, 100, 100)\n", - "\n", - "pressure = 0.0\n", - "box_length = BOX_SIZE_0 # zetten zuiger terug\n", - "v_piston = V_PISTON_0\n", - "create_particles(particles) # resetten deeltjes \n", - "for i in range(1000):\n", - " take_time_step(particles)\n", - " # RUIMTE VOOR UITWERKING\n", - "\n", - "# PLOT GRAFIEK" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "36bba650", - "metadata": {}, "outputs": [ { "data": { - "image/png": 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eQPKaatWM3Uf+Ciq9ewP79wNLlwLDhvn2tYmIiHzMZ4Npk5KScPDgQV+9XPgx7xSdl6dvRChDjOz+USsqVgNp1dfzdVDZv18c33vPt69LRETkBx5XVL799lvDfU3TkJ6ejjlz5qBz586+alf4UQfHAkBWln5bDSq//27d9WOuyPh7jEp0tH9el4iIyIc8DiqdO3eGw+GAZhrj0KNHDyxcuNBnDQs75qAiNyGMidEfkxs1elpRWbUKeOEFYPFifZpzRTGoEBFRGPA4qBw7dsxwPyIiAg0aNEAN86yXqsbc9SODilopser6sVNRuflmcXviROCjj3zTXgYVIiIKAx4HlaZNm/qjHeHPVVBRKyVqUCktFT+ejFFRu5MqikGFiIjCgM8G0+7cubPcxeAqtWuuMd6XocIqqFy4IHZFvuQS4OxZcc7OGJWKhgs5uNcXr0VERBQAPgsqI0eOxJ/+9CdfvVz4ufpqYN06oG1bcV8GFauun9xc4OuvgWPHxBGwV1GpaLhQu5wYVIiIKAz4LKisW7cOR48e9eg58+bNQ8eOHREXF4e4uDj07NkTn332ma+aFHhXXw3IrjGrrh+5O/Lx4/o5uSptICoqsptJfX0iIqIQ5rNvq4YNG3r8nMaNG2POnDlo3bo1NE3D22+/jSFDhmDPnj1o166dr5oWWDIAWHX9pKSI4+HD+jlZ5XBVUVG3JKjogGU1qBQVVey1iIiIAqBCFZWLFy8iJyfH8OOJwYMH44YbbkDr1q1xySWX4Omnn0atWrXwzTffWF5fUFBQofcLCBkwrGb9JCeLoxpUzp0TR1dBReXLioqroLJkCVCnDrB5c8Xei4iIyAc8Dir5+fm4//77kZiYiJo1a6JOnTqGH2+VlJRg6dKlOH/+PHr27Gl5zezZsxEfH1/2k5qa6vX7+Y0MGIcOiWN5FZXyBtOq/FlROXUKGDUKGDFCVINmzqzYexEREfmAx0HloYcewpdffol58+YhOjoab775Jp588kk0bNgQixcv9rgB3333HWrVqoXo6Gjcc889WLlyJdrKAakmM2bMQHZ2dtnPiRMnPH4/vzMHDDWoJCaKo7oR4e+/O19n9TqAfysqjz8O/Oc/+v1QDIFERFTleDxG5b///S8WL16Mfv36YezYsbjyyivRqlUrNG3aFO+++y5GjBjh0etdeuml2Lt3L7Kzs/H+++9j9OjR2Lhxo2VYiY6ORnSoz1Yxr1CrVkqsKiKnTztfB1gHFYejYm1zF1QyMoz3d+wA0tP1KhAREVEQeFxROXv2LFq0aAEAiIuLw9k/ui769Onj1Toq1atXR6tWrdCtWzfMnj0bnTp1wosvvujx64QMdxWVatVcP89cUTEHHqDi+/64Cyrmhfy+/x5o1qxi70dERFRBHgeVFi1alC2j36ZNGyxfvhyAqLQkJCRUuEGlpaUoKCio8OsEjTmoqJUSd1OCzRWViAjxo/JnULEip04TEREFicddP2PHjsW+ffvQt29fTJ8+HYMHD8bLL7+MoqIiPP/88x691owZMzBw4EA0adIEubm5WLJkCTZs2IA1a9Z42qzQ4auKinwtNSz4M6iojxEREYUIj4PKlClTym4PGDAAP/74I3bt2oVWrVqhY8eOHr1WZmYmRo0ahfT0dMTHx6Njx45Ys2YNrjEvRx9O3AUVTyoq8vpAB5X+/cUKu0RERCGgwgu+NW3a1OuNChcsWFDRtw897gbTelpRMV/v7SJtpaXAtm1AZqbr18rNFUe51gsREVEIsDVGZe7cubh48aLtF33ttdeQK7/4qhpfdv2YZwl5W1F5/XWgVy9g/nz9nHn8iayocJYPERGFEFtBZcqUKR4Fj4cffhin5bTbqsaXXT++CiovveR8zlXXDysqREQUQmx1/Wiahv79+yPK5kZ2Fy5cqFCjwpq7WT+eVlRiYoz3vQ0qcjNElauuny5dvHsPIiIiP7CVPGZ6uJz6kCFDUNfqy7EqMIcJuxWV6tWdz5mv92dQkRWV+vWBhQuBceMqvsAcERFRBfklqFRpv/5qvG93jIpVKDAHE0+CyoULekWmdm3nx2VQKSgAbr9d7PUj29u3r7ht1R1FREQUQBXaPZksHD9uvB8bq992VVG5+27r8+aqh91ZP8uWifd9/XVxPz/f+ZqSEnFcsgT4+GP9fK1a+sylik6HJiIiqiAGFV9Tu3DGjzdOVzYHla1bAU0DXnvN+rW8raj85S/ieM894mg1ELq0VByzs43na9fW2ynDDBERUZAwqPjayy+LqcD/+x/w5pvGxxwOY3CxGkCrqkjXj8oqqFiFEIdDzDRiRYWIiEJEhRd8I5M2bYDNm10/Xq2aHhJCIaioY2McDvEjKyqaJiov5j2HiIiIAsTrb6DCwkIcPHgQxfxXt2fUYGA1yFXlq6BitY+PDCrqa2qaOKpVH3b/EBFREHkcVPLz8zF+/HjExsaiXbt2OP7H4NGJEydizpw5Pm9gpaPuDF1eRcU8eNbToCIrIe4qKupjMqioY2kYVIiIKIg8DiozZszAvn37sGHDBtRQVk4dMGAAli1b5tPGVUpyECtgvXaKyhxMPN3rJzZWhA+7QUVSKyqsmBERURB5PEZl1apVWLZsGXr06AGH0o3Rrl07HDlyxKeNq/TKW1DN2+nJUmwscPGidVVEnsvJ0c/VqyeOrKgQEVGI8Liicvr0aSQmJjqdP3/+vCG4kA9MmCCOSUniaN5IsDwxMdYVE8C6ojJpkjiyokJERCHC46CSlpaGTz/9tOy+DCdvvvkmevbs6buWETBnDvDpp8CHH4r7HuxgDUBUVFwFFdkFJSsqPXsCjz4qbquzfFhRISKiIPK46+eZZ57BwIEDceDAARQXF+PFF1/EgQMHsGXLFmzcuNEfbay6oqOBG24ADh4U9+0EFbUCUrOm/YrK3/+uBxS53ktJCSsqREQUVB5XVPr06YN9+/ahuLgYHTp0wOeff47ExERs3boV3bp180cbK6foaPvXykHLdoKKOhU5Jgb46CPr68xjVMxTpbk6LRERhQCPKipFRUW4++678dhjj2H+/Pn+alPV0Ly5/WvVoKJp7gfhqoNjIyOBJ54wPu5wiNcwV1Ti4ozXcXVaIiIKAR5VVKpVq4YPPvjAX22pWpo1s3+tMg283AG1alePOWTcfz/wxRfidnkVFRlUWFEhIqIg8rjrZ+jQoVi1apUfmlJFDBwojtOm2X+OGlTUBeOsqBWV4mJ99+a5c4GXXgJatxb3y6uoyK4fT6dEExER+ZDHg2lbt26NWbNmYfPmzejWrRtq1qxpePyBBx7wWeMqpZUrgV9/BVq2tP8cdWG4ixedQ4VKraiUlOize266SRzVSklBgV6hMVdUzp0Tx+HDgb177beViIjIhzwOKgsWLEBCQgJ27dqFXbt2GR5zOBwMKuWJjvYspAD6rsYXL5Y/oFatqFy4oF8vw40aVNRQ42rfoX37PGsrERGRD3kcVI4dO+aPdlB5vAkqsioC6EFEXSMlO1sca9Y0LvJGREQUIrzePZkCTE5nLi+oqFWSkyf123LMiRpIsrLEsbxdnOfOBc6csdVMIiIiX/K4ojJu3Di3jy9cuNDrxpAbdtdSUSsqVqyCirsxL4BYWv/TT4E1a9xfR0RE5GMeB5VzancCxNoq+/fvR1ZWFq6++mqfNYxM7AYVVyvRSmpQkf8ty6uoAMDnn5d/DRERkY95HFRWrlzpdK60tBT33nsvWno6SJTsq0hF5c479dveVFSIiIiCxCdjVCIiIjB16lT8+9//9sXLkRUZJjIz3V9nFVTkLsyA9xWVmJjyryEiIvIxnw2mPXLkCIq53Lr/yH2URo50P1bEqutHrZioQeXoUefHXTGtl0NERBQIHnf9TJ061XBf0zSkp6fj008/xejRo33WMDLp0UO/ff31Yr8eK1YVFTWIqNOTX3tNHK0qKnfeCbz5pn6fQYWIiILA46CyZ88ew/2IiAg0aNAA//rXv8qdEUQVcNll9q4rr6LicOgbE0pWQeWNNxhUiIgo6DwOKuvXr/dHO6g8rVrZu86qoqIuwQ84V2Pi452f43AACQn6gFu5ZxAREVEAeTxG5cKFC8jPzy+7/8svv+CFF17A55y+6l9qUKhb1/V1Mlh4wiqoAMbNEFlRISKiIPA4qAwZMgSLFy8GAGRlZeGKK67Av/71LwwZMgTz5s3zeQNJMWWKOF5+ufXjmuYcVD75pPzXdRVUHA79NoMKEREFgcdBZffu3bjyyisBAO+//z6Sk5Pxyy+/YPHixZg7d67PG0gKGVBcza7KzxebDapchRA716hBJYK7LRARUeB5/O2Tn5+P2n8Mvvz8889xyy23ICIiAj169MAvv/zi8waSQu7X4yqoWHX7VCSoqDj1nIiIgsDjoNKqVSusWrUKJ06cwJo1a3DttdcCADIzMxHHFU79SwaVoiLrx2VQUasftWqV/7p2/rsxqBARURB4HFQef/xxPPjgg2jWrBm6d++Onj17AhDVlS5duvi8gaSwW1FRKyS+CipffQWwYkZERAHm8fTkW2+9FX369EF6ejo6depUdr5///64+eabfdo4MrEbVFq0ENOZo6KA+vXLf107XT8FBUCzZtYLzRUWOk+BJiIi8gGvRkgmJyejS5cuiIiIQE5ODlatWoXatWujTZs2vm4fqapVE0dXQSU7WxwTEoClS4F33jEOiLXy9ttAvXret+nrr8WCcf/6l/evQURE5ILHQeX222/Hyy+/DECsqZKWlobbb78dHTt2xAcffODzBpLCbkUlIcHe611zDTBqlOvH//nP8l9jzBhRUXnwQXvvSURE5AGPg8qmTZvKpievXLkSmqYhKysLc+fOxT/+8Q+fN5AUvg4q5Y1fGT4cWLjQ/TUFBfbei4iIyAseB5Xs7GzU/WNl1NWrV+PPf/4zYmNjMWjQIBw+fNjnDSRFoIMKADRt6v5xBhUiIvIjj4NKamoqtm7divPnz2P16tVl05PPnTuHGuqS6+R73sz6ccdOUIkyjbc2D6ZVg0phob33JSIissnjoDJ58mSMGDECjRs3RkpKCvr16wdAdAl16NDB1+0jVXlBRR1Ma4edQGMOKub3VsPJpEn23tcXvvsOmDAByMgI3HsSEVHAeRxU7rvvPmzduhULFy7E5s2bEfHH4mItWrTgGBV/s7vgW3lB5cEHgdRUYOpU++8pmd9brai89lr5r6f65RegtNSz50gdOwKvvgrcc493zyciorDg1fTktLQ0DBo0CCdPnkTxH//CHjRoEHr37u3TxpGJr8aoPPecCAkNGth/T8ncvWO1rood774r1mW57z7vni99/33Fnk9ERCHNq71+xo8fj9jYWLRr1w7Hjx8HAEycOBFz5szxeQNJ4cvBtOWtr2J+T8lVNcdTDz0kjq+/XrHX4bYNRESVmsdBZcaMGdi3bx82bNhgGDw7YMAALFu2zKeNI5PyFnzzdDCtHe4qKt5WUwB9PE1F/bFBJhERVU4eL6G/atUqLFu2DD169IBD+Vd5u3btcOTIEZ82jkx8PZjWk/eU1IrK+fPev25+vvfPVTGoEBFVah5XVE6fPo3ExESn8+fPnzcEF/IDd0Hl4kV9YKs/g4paUTl3znfv4wm1ksOuHyKiSs3joJKWloZPP/207L4MJ2+++WbZTsrkJzI0aJrzbBnZ7RMRYW99FLsiTH8iakUlWEHlwgX9NisqRESVmsddP8888wwGDhyIAwcOoLi4GC+++CIOHDiALVu2YOPGjf5oI0lqdaO42LhjsTo+xRwuKsK88qy7oNKypeevHxnp+XPU95XjpL78Epg8WQzOZWAmIqo0PP5G69OnD/bt24fi4mJ06NABn3/+ORITE7F161Z069bNo9eaPXs2Lr/8ctSuXRuJiYkYOnQoDh486GmTqg5zUFH5YyAtALRuDVx1lX5f7fqR7xkdLY5qpcMub9qrBpWSEnHs318sAnfTTZ6/HhERhSyPgkpRURHGjRsHh8OB+fPnY/v27Thw4ADeeecdr1al3bhxIyZMmIBvvvkGa9euRVFREa699lqcr8ggzcpMDSrmacK//y6O9er59j0jIoCNG0VgMb+vDAwNG4qjNwNkfRVUJP7tEBFVKh4FlWrVquGDDz7w2ZuvXr0aY8aMQbt27dCpUycsWrQIx48fx65du3z2HpWKu4rK2bPi+MeGkT4np0ZbDaaVQcVuRUXtTqpoUDF/DhxcS0RUqXjc9TN06FCsWrXKD00ROzMDKNud2aygoAA5OTmGnypFHXvy9dfGx/xVUZFkUHFXUSkocK5wWFGDhjcDf8eP128zqBARVWoeD6Zt3bo1Zs2ahc2bN6Nbt26oWbOm4fEHHnjAq4aUlpZi8uTJ6N27N9q3b295zezZs/Hkk0969fqVgjr9e+hQEQpkePF3RUUO3LUao9KokX7u4kXA9DfhRLYV8Hyvn+Ji4MwZ/b45GDGoEBFVKh4HlQULFiAhIQG7du1y6qJxOBxeB5UJEyZg//79+NpcKVDMmDEDU5WN9HJycpCamurV+1UKhYX6rJdgVlRSUvRz+fmeBRU7FRiVDEcSKypERJWax0Hl2LFjPm/E/fffj08++QSbNm1C48aNXV4XHR2NaDnDhIDcXBFQGjUKTkVFBpV69URgunjR3jgVtevH04qKGnIAEVQuXtTvM6gQEVUqFVpwQ9M0aBXY70XTNNx///1YuXIlvvzySzRv3rwizal60tKAxo2B/fv9X1GRAdEqqCQkADEx4radmT/mikp+PrBnj729g8xBpaTEeC42tvzXICKisOFVUFmwYAHat2+PGjVqoEaNGmjfvj3efPNNj19nwoQJeOedd7BkyRLUrl0bGRkZyMjIwAVv1uOoiv7YuRrLl/u/oiKDilq9kOGofn09IHhaUSkpAa69FujaFfjww/Kfu3Kl8X5xsd4O+XpERFRpeBxUHn/8cUyaNAmDBw/GihUrsGLFCgwePBhTpkzB448/7tFrzZs3D9nZ2ejXrx9SUlLKfrgLs4dq1PB/RUWOhbEKKvXqeV9RKS0FNm8Wt996q/znPvus8X5xsfH1zOvLEBFRWPN4jMq8efMwf/58DB8+vOzcTTfdhI4dO2LixImYNWuW7deqSLcRKWrU8H9FRQYVuQZKaan+nmpFxZuuH0mGHVes/l5KSowVFVc7SxMRUVjyuKJSVFSEtLQ0p/PdunVDMb8k/G/NGudzDgcg15QJVNdPVpY+ELZu3Yp1/UjuxpcUFACDB+v35ewvc0WFf4NERJWKx0Fl5MiRmDdvntP5N954AyNGjPBJo8iNa68FmjY1nktP12/XqeOf9zV3/ci1TOLixIwgb7t+1FVq3QWVzZsBZdduXH65OLLrh4ioUvO46wcQg2k///xz9OjRAwCwbds2HD9+HKNGjTKsc/L888/7ppVkpO6aDAAnTohjQoJ3uxHb4SqoyDExnlRU1GBx+rR+293Uc/U6QN9OgF0/RESVmsdBZf/+/ejatSsA4MiRIwCA+vXro379+ti/f3/ZdQ51FVXyLXWKMKAHFX8NpAX0ECErIOqMH8Czikpmpn5b3URQra6YqWEE0IMKu36IiCo1j4PK+vXr/dEO8kRurvG+DCr+Gp8C2K+oeBpUVO6eqy6bDxiDihpi2PVDRFSpVGjBNwoSc1D59Vdx9GdFxRxUzBUVubmgWiGxcv6860DiLqioYWTnTmPXDysqRESVFoNKODJXDdTZN/5inp4sKxwyqMil68vb0dpVNQWwF1T++U+gWzd9LM7u3cAfXZAAGFSIiCoZBpXKJBBjVMwVFfmetWuLo7+CilyFNzlZHKOUXktZUQLY9UNEVMkwqFQmgez6qWhFRXYVqVwFFU0DvvtO3G7XThyjXAyvMg80JiKisMagUpk0aOC/1zZ3/ZgrKp4GlZQU58e2bxfro5hn//z2m1hgLjISuOwycc7VNOyffgJ27HDfBiIiChsMKpWJP4OK7PqR66R4W1E5dUocrYIKIAbKfvGF8dzRo+LYrJneDnfrxUyY4L4NREQUNhhUwtHcueJo3rHan0FFrpOyYwdw9dVARoa478uKimReofbnn8WxWTP9nHnmk8rdwnFERBRWGFTC0cSJYjzHqFHG87K64Q9qeFi/Xt+vR76np4Np3QUV2c0EAN9+CyxYIG6rQcW8oKD6HBmaiIgo7DGohKuYGKBaNeOXsj8rKq724ZEVlYQEcVQ3HLQig4qcvWNFnbnTqROwcaO4re5x9Kc/Abffrt+X7w9ULKikp4txLkREFBIYVMJdhPKf0J+zflwFFdnNIkNSXp4+M8iKnYqKDCrmfYOSkvTbERHAe+/p99X9jyoSVBo2BFq3dl4Jl4iIgoJBJdxpmn7b1ZRdX5BjVFyJjxcVHsB5A0GVfMxOUDGvuWKuGKkhLTFRv+3tGBV1erQcwEtEREHFoEL2uKqoSA6HPl7FVVApLdUfU7t+zJUguRZKeUFF1a4dkJpqfL6n1Pfz1y7UqtJSsbKubO+cOUBampiKTUREABhUyK7yggqgBwlXQeXcObE3D+A+qMiKipzKLKlVE6v23XefuO1uF2Z31Pcrb88iX3jlFbEdgBwUPWMGsGsXMH++/9+biChMMKiEO7Xrx5/UWTWuyKDianyHrFjUqWN8PfNspYMHgf/3/5wHtbqrqCQk6F0+2dnAyZPlt9cs0EHlySfFcdky43l/duEREYUZBpVw9+qr4vjII/59H/N0YABo29Z4X1ZdXA2mlUElMdE4vsQcVB59FJg+HZgyxXhendkjTZ8uZgNNmaIHlZUrgcaNPR9nogaVG27wfwhUd33euVO/XaeOf9+XiCiMMKiEuxEjRPXgH/8I3HumpYmpwatWGc/LwbSuxojIoNKggXEMiN31X6zC0uzZwLFj4jXNg2jXrrX3upK5q0luE+AvahC6/HL9tp3qFRFRFcGgUhk0bGj9Je4vvXuL7orWrY3n5RThb78V16xZY3xcraioQaVePTGQ1FvydzcHFU+na5uDilx9N9C4AzQRURkGFfJc8+bW52VF5bXXgC1bgOuvNz7uKqjUrw9Mm2ZcwM1s8uTy22UOKnK1XHfy8/Xl+M1B5bffyn++P3AHaCKiMhy1R/YtXgysXg3cc4/14zKouCIrFElJxgqQ7Ppx9fyXXgLuvbf89qmLvgH6DCNXiotFaKpVC/j1V+egkp5e/nt6y934FwYVIqIyDCpk38iR4seV8oLKkSPi2KKFMajILhpz0JD69rW3rom5olJc7P76o0fF7J7z58XaJeagYr7vS+72RGJQISIqw64f8h1XQUOS041btTKeb9FCHF0FHXfrp6jMQaW8sR7q9OeSEucF5txtBVBR7kIQgwoRURlWVMh33FVUCguB48fF7ZYtxfGtt8QXdocO7p9vd1aQpxWVQ4f02+fP6xsq/vnPwAcfeL9wnB3uBupyMC0RURkGFfIdq6Bx4YLYJyg9XYzLiI7WKyRjxhivdRUs7C5nb96Rubwv/BMn9NtygbioKKBZM3Hbn5UNVlSIiGxh1w/5jlXXT3a2OMoZNCkprqdSq+uWPPCA5+/ftKnxfnkVFXWw7Lp14hgXp69j4s/AYFVRkZUju+979qyo/JQ3aJiIKIwxqJDvWFVUCgpEZWPfPnG/YUPXz1eDyvTpwCWXiAXd7DJXXsoLKur0Y7mcfWGhHrgCXVG58UbP3vehh4BbbwUmTfJdu4iIQgyDCvmOq6DSt68+vdhdUFH3CEpJEXv+TJ/uWRtWr9Zvl9f1YzX9+MYbAxNUzBWVyEjxO3vyvgsXiuMrr/iuXUREIYZBhXzHVVDZulW/7y6o+CIYXHcdMGyYuG1VUdE04LHHgBUrrIPKs8/qQcWfg2nNFZWkJL3L6aWX7O0zVN50cCKiSoCDacl3rMaoyFVfJVk1sLJwITBkCPD88xVrh9x9WK2oXLgglv0vKXG9L5LDIQbkytlD/qyomENScrLx89u507j/jxX19ysqYnAhokqJQYV8x+qL8uefjffdVVR69RJrmVR03yIZVNSKyn/+A9x9t/vnJSaK30Ht+vnoI2D/frE7tS/3U5KzjKSUFGN7L1xw//y8POP9c+fsrzdDRBRGGFTId6yCytGjxvvuggrgmzAg26F+8R88WP7zZNvUoDJ0qLjdty/Qp0/F2waI6odV1486mDg21v1rmPchYlAhokqKY1TId6y6fo4dM94vL6j4glXXj7mCYaVRI3GUv4ecWg04VzAqQq4po6pfHzh9Wr9f3pRj8+9z9qxv2hYuSkp8+9+EiEIWgwr5jp2KirsxKr5uh1pR+fXX8p9nrqioIau8CocnZMhQKyCJicag58nUakBfVbeq6NdPjOupagGNqApiUCHfUYOK/NLfsMF4TUKC/9thVVFxFVSSkvTb5qCiDnj15cBaGVSaN9fPJSYCs2bp98sLKuaKSlUKKpoGfP212PZALtRHRJUWgwr5jrqJn/olrPLlgFRXzINpS0tdd/3IDREBvevHvGcQIIKArzYplKFJXUm3QQOgcWN93yNPg0p5g28rE3W9HbnzNhFVWgwq5Dvq7sPB/AIxd/1kZrr+4o+L02+bKyqq228HunXzTftkyGjcWD/XqZM4Ws1YsmLu+snP903bwoG6R5Od9WaIKKxx1g/5jlpFsapKmDch9Bdz14+78Slqd5V5MK3ZgQO+Wa9EtqdRIzEbKS9PH7tjN6jIsBMXB+TkVK2KihpU/LkoHxGFBFZUyHduukmsqrpjh77KKiBWgj15EliwIDDtMFdUXHX7xMcb/0UuKyrugsjttxtnA3lDrahccgnQtav+mKdBpWVLcayqQYU7TRNVegwq5DsREcD99wNpacaKSmqqCAERAfpzs1tRqVvXON5B7l7sbtrrqlXAc89VrH1qRcXMTlApLdUH+rZqJY5VNaiwokJU6TGokH+oQUUdixEI5i97V0GlXj3jwmtyoK86wNaKnTVZXNE0fXyJ1ediJ6hkZIgQFhmpV1Sq6hgVBhWiSo9BhfwjPl6/nZoa2Pc2d/24CiqXX269MWHTpsDIka5fXx2A66nff9e/XK3WlLETVH75RRwbNQJq1xa3WVEhokqKQYX8Q85iAQIfVNSun02bgHfeEfdvuw2oVQu47z5g9GhgzhzXX3Tt27t+fauBwnYdPy6OSUnWg3Y9CSpNmwIxMeJ2VQoqavBkUCGq9Djrh/xj4EDxRVq/fsUqEN5Qv7z79tXP338/sHSpcazMVVeJMDNggPE1ZKXCSk6O922TmzS6WmfG06AiV8ytKl0/5jVxGFSIKj0GFfKP2rXFdN6oqMAs8qaqVUsczYNimzZ1HtC7dCnw7rvA2LHG82PGiFV1V692Diaffup922RQadbM+vFQrqhomvgJ1KBoK6dOGVcc5qwfokqPXT/kP7Gxrtck8ScZVLKyjOetZtmkpAAPPui8QF1MDLBsGTB4sPNzfv0V+PFH79oWrkGloEB0h111VfkbJvqTOj4FYEWFqApgUKHKR3bbHDpkPB/lRQFRnRWkOnjQ89cC/BdU/N318+OPokK2ebOoMgWL/PwkBhWiSo9BhSofWVFRqwyvvOLda2Vk6LfV6pC5UrRiBfDyy+W/XkWDiqYZg4oc2OvvLhB1J2lvq0m+YN6Nm0GFqNJjUKHKxzwQtn9/MdPHG9ddJ44tW4pNCXv0EPfVYFBcLFasnThRDxHSxx8DGzeK25qmf+F7G1TOndPH3jRpYn8l24pSA4KvNmesaDsABhWiKoCDaanykRUVyVUosOPJJ4FLLwVuvFEMCpaVFDWoyCnH5vM//wwMGSJul5YCZ88aQ4aV8oKHDEKJiaLbR64Zow4w9Qe1ohLMoCLbccklomuPg2mJKr2gVlQ2bdqEwYMHo2HDhnA4HFi1alUwm0OVhTmouJoKbEfNmsBdd+mLs8mgogaDI0f022rAULtIcnP1bp/kZH1siZndoNK0qTgGKqhYVVS2bBGDaw8c8O97v/46MGyYCCWyHW3aGNtCRJVWUIPK+fPn0alTJ7zi7fgBIitybRGpIhUVMxkM1H/Jq1/i6nl1vY9x48ofnwKUH1RkKJLL/Aez66d/f+Crr4Drr/fve99zD7B8OfDBB3pQ69VLHK1WHS4uFs95913/touIAiKoXT8DBw7EwIEDg9kEqozM63xUpKJiVl5FRQaVoiLjrKMPPtC/4CsSVH76SRzlZoTeVlTOnxfho3378te5KS01zraRv4c8mqcM+1Jurn47PV1MjY6OFpUcQP88VO+8I6owr78OjBjhv7YRUUCE1WDagoIC5OTkGH6ILG3erN+W3SS+IIPKF18AV14J7N3rHFS+/x5o0AB49lnjc+VCce6Ck6dBxduKyg03AB07AmvXln9tRoaxi8VqzZZNmzx7f7vUSo7czLFZMzFGBRAVFfPUbH93RRFRQIVVUJk9ezbi4+PLflIDvYcMhY8ePYDevYF+/YCGDX33urKCsXw58PXXYvNCc1BZswbIznb9Gq1bu37MVfAoLhZVE19VVGSwePvt8q81z7S5eFEMDFapWxX4kloxkWN+WrQA6tbVPytzW86d029zDAtR2AuroDJjxgxkZ2eX/ZzwZ8mZwltEhBg/8eWXvl3C37x+SkaGc1AxLzRnJkOGFaugUlwsumjatdO7YCpSUVHH0dSvX/71VkHFqsvF1y5eBG69Vb//ww/i2Ly5+G8qBySbw4i69s3vv/u3jUTkd2E1PTk6OhrRFdm5lqoWf+wxJCsYkqYZ9xSyE1TsVFQKC4HHHhPHc+eMK+HWqiV2X1bb40lFRQ0ec+eKNWB69AAiI62vl0EsNlZ0s1y8CBw+7Hxdaalv9wF6/33jfdnuli3FsUYNMYbFHFTUEHXmjPXWCUQUNsIqqBAFnbmiYu52sBNUZMiwIoPKO++4Xha/VSs9hMnri4pEaLITzszt69MHeOgh5zE1ADBjBjBnjrjdqROwdavrisrSpcBf/1r++9slKyhml14qjjVqiKMaVEpKjEGMFRWisBfUrp+8vDzs3bsXe/fuBQAcO3YMe/fuxXF1AS2iUGIOKppmvH/rrcZpyVbchQk50Nbd3j1q15Fa4Sktdf++klWQeu4553PFxXpIAURQAYxB5c9/1h8fMQJ49VV7bbBjzx7r8+6CyvHjxq4tBhWisBfUoLJz50506dIFXbp0AQBMnToVXbp0weOPPx7MZhG5Zu76Kc8ttxjv9+/v/vpbby2/KuIqqNjt/rHqtrFi3nZADSryNYYPN14zYYK917ZDVlTU6dzVq+v3rYKK+Xc7c8Z37SGioAhq10+/fv2gmf9FShTKzBUVV1q0ABYsAC6/XExjfukl4JlngEGD3D+vWjUxo8VdJUANKuqO0HYH1FpVVKxm0M2fb7x/2WXieOGCWNPE3BZfys/XF3fr3Nk4iFj+zlZB5d57ja9TFSsqs2eLqtLMmcFuCZFPhNWsH6KgcxVUEhKM92vVElOja9YEJk8WA1KHDXNe3t9KnTruH5eBASi/onLxohiDolY6ZFCpV08/Zw4qVq8VFyeOv/wixuY4HGJgcFqa+/Z649Ah0a1Wr55xMKzs9gGcg8rZs84zlKpaUMnIAB55BHjiCfdT5InCCIMKkSdcdf3IbhHJ1V4+dpQ3s00NKmpFxSpcvP++WPzu1VfFF/+OHfrCae3aGV9HVjd//tm5i+pPf9JDVkmJOLZoIWYCmReNO3LEuJaJN2S3T5s2xs9D7vEDOE9P/v57/bF77hHHqtb1o+4vxTVkqJJgUCHyhKvpt+bVZq1m0NiVmen+cbXi4nDo04qtun7UmTOLFgFXXCFuJyaKbilp0yZRvVi/Xuz4/NVX4nxamgg3H38sqkOqtm3FMSHBuBpsq1bOwc1Tst2XXWYMKu4qKjKo3HCD/rtVxopKSQkwa5ZYI8hMDWsMKlRJMKgQecJqEzzAONPkhx/0vWi8cfq0frt27fKvV6com6mL0f3tb/rtdu2ARx/Vl6IHRBXk6quBb781XpeWJqop5m4rtSITH298rKKLMboKKmpFRQaVLVvEUX5Jt22rh7mKVnZC0YwZYvxJ//4inKpbGqiB8eJF51lpRGGIQYXIE3IQqSouzjg2Qv0yraj9+4FrrnF/jeyOsqqoqOudqI+3aye+zBcscP/aajeTq4oK4BxUKkrt+lErA2pFRYaQt94SX8gyqLRrp7fV3TTvcHTypHEqeceO4jOSQVmtqDz0EJCSog9KJgpTDCpEnpgxQ3wJPvOMfq5jR2PloqLee09UC1auBJo0AT7/XHwZx8QAn33mfL2sqNxwgzGMaJrrdslqSHljadQwEhmpVzHU1wDEWBUzOZbFU8XF+jTjyy4z/g7qoGW18nPxYtUIKl9/bbz/ww9i7Rg57kgNKv/9L3DqFPDmm4FrH5EfMKgQeaJrVyArSwSWZcuALl2AhQv1TfnUCoS3/vIXsTT80KH6uTFjgJwc4Prrna+X5f1Dh4Bt2/TzmZmirVZkl48aPKyYfx+1uqFWjhwOwLz+kdUuy3YcPCgqBLVqiZ2vk5Otrzt1Sr/9yy/62J7LLtODU2ULKq5W6y0qEr+/1eDh8maREYU4BhUiT8kKxu23A7t3iym6r7wC/OMfwBdf+PY9yjsHGKehqoN91X9dm8nBru6CSmqq8yBhlbmKMmqU8b63QWXfPnHs2FH8Po89Btx1F/DNN8br1KrW9u3i2KyZCDiybefPe9eGUCU/GzO1omTmy/2XiIKAf8FEvpCYKAanNmwY3HaoFYT9+50f795dfKHJNVRcdf1MmiSmurraqNBqkG/TpsbBud4GlT+21CgLUw0aAG+8IdqumjZNvy1DjOyOsur6mT1bLB4XzlOW1e4u1YULwHffWT+Wm+u/9hAFAIMKUWWiVhDkF77qppuM405cVVR69rQedyJZrUgbFSXCkQwxFa2odO7s/rqICDGGB9CnU/+xHUdZ24uK9A0bH3lEvPZbb4nxPGPG2G9TZqb9vZT8JTdXH7R93XXGxy5edL03EoMKhTkGFaLKRA0qu3Y5P96+vfG+q4pKhw7W5+UqtJMmWT9erZpezfAmqCxZIgYPA/bWYpFTpmX1qGtXcVRD1oUL+mBTQCyA99lnwNtv25u+u3Gj2PF68uTyr/UnWTFp1Mj5v8+FC6Ib0gqDCoU5BhWicHfbbfptGVTUMQvqOiTyi1yKiRFja2bNMp5XpwGr/vc/YPVq5/Eo5tcEvAsqI0bot82hyop5yrT8/aKj9c0dz583folv3arftrORo1zl9qWXyr/Wn2S3T8eOzl2MWVn6f29ZVZIYVCjMMagQhbslS4BrrxW3z58XX0x79ojpwfXrAwUF+rXqvjnSo4+KAatSRITrsSkNGohuB3c7PMvnvveeZ7/HyZPG++YQYkVuVgiIzRxlV5DDYRynolaX1JV/1c/GFXUtGqvVYANF/g6dOzvPxtq+Xf/vbZ4WnpcXkOYR+QuDClG4i4oCGjcWt//v/8QiX716ifvduhmvdRcwpIouWCe/2D2tQMiZOwAwfbq956ir+LZsafz95Bf0U09Zd4MBxhWFrWiacW2a/v2Dt9mf/HyuuEIE09Wr9a44uTpv167Os39YUaEwx6BCVBnILoy8POM4FTWoNGtm77WuvtpnzfLIjh3iOGwY8PTTnj/f1cDgJUtcj98or6Jy7JjzOTUcBcLSpcCAAXrXzxVXiKrXddfpFSQ566lrV+NCfACDCoU9BhWiysDVQmBduwJPPikGuS5b5v41Vq4Ui82p65P4U14eMH68qAxcc42YPgyInZrtrv3x4Yf67fvuMz42ZYo4FhUZB9Oqyquo7NzpfM7VInr+Mnw4sG6duN2okXF8ijmcde0qutzGjRObUALhHVS4VxGBQYWocnA1Q+byy8WKsTk5+s7JrgwdKr7k7GyE6M7mzfptd4NVH3xQrOo7cKBxoTx1V+fy3HyzqHB8+aUIWSp1ZV/A+vcqr6IiqzyqQG50aN5J27yWjHmLhB49xPTzBQv0wcjhGlRuv110Q3o7zZ0qDQYVosrAVRVEdg2Ut1S+L6mByN14jpUrrc+7mhrtSv36ogpjVreu8X7jxmIRO7ndAVB+RUXdkkD65BPP2lcR6gwlwDlsmhf1S03Vb8tgFo5B5cwZYMUKsS2Eq9V4g0nTWO0JIAYVosogMdF5TRQZUgItKkr/kjR3k5SUiO6U4mLnaoEkd4OuKHNQef11Me16wwb9C91dReXiRX0A68iR+vm5c33TPjvkIFnJXG1SF60zd5fJ/wZ5eeH3papuvmhnZlYgXbwoxn6ZK3bkNwwqRJWFuUQuZ4QEg9zl2BxUnn5afNnee6/18zzp9imPuhnfK68AV16p35dryxQWul5xdscO8SWZlCQWh1N5uzO0p8xBxVxRmTNHv61OMQf0oFJaGn6bM6pBJdBjgsrz8cdi+v/HHxtnhJHfMKgQVRaLF4tqRs+eYon7F14IXltkUDl71nh+5kxxfPNN5+fcdBOwapXv2qBWmMxdQ9Wri+OYMWJwqlV1Ry7Lf9VVYtrz4MH6Y+ou0v5SWOg8RkauxKveP3tWDCo2715ds6Y+XTvcun/kZw+EXlBRtyow/32TXzCoEFUWI0eKqclbtgCHDxvHKwRaUpI4ZmSI46lTwEcfub7+ssvE477e1HHzZjGmxLxAmqyoHD4s2rZ2rfNzN20SR1mJeeMN/TF/B5WLF8UA4YIC0YX1yiuud0euU0cMKjZ3/TgcerAJp6BiXkk41IKKWu35/ffgtaMKYVAhqkxkpSDYUlLE8fXXxbFzZ/d9+h07+qcdvXoBgwY5nzd/TuYNGIuL9W6Xq64Sx+RkUbEC/BtUNE1M1x44UNy/9lox9VrdTNKucBxQu3WrsUsllIJKfr5xgPX8+dbXhVKbKwEGFSLyvcREcdyyRawKKysrKnUV2RtuCEy7JHX/I8C4SB4gBtHm5opqhbrnkOxO8mdQ+ekn47/aBwzw/rXCMajITSmlUPrS37rVOOX+3/92vuajj8TfjTp+iCqEQYWIfE8NJkuWWF/TpYtYhG7aNOCOOwLTLslcUZHL7f/0k5jGLKso11xj3PdITvP2Z1BZs8Z4v6oFFfn7yypbVpbohjt6NGhNKqOu9+OKrBzOmOHXplQlDCpE5Htyx2HA9XopAwaIRb3mzLG/Eq2vmDfqW7QIWL4cGDtWbI4oZ/Vcf73xuooGlU8/FQOK3U0XNgeVpk29ey9AH6OyYoXofnM1ziVUpKeLrQIcDn1X8GXLxNo3Mjz629691lsnAGL3cABo0UI/p/4tqF1WDRr4vGlVFYMKEflenz76gFpX/6c/enTg2mMm98aRtm0TewypXS6Aviu1VJGgUlQE3HgjMGuW8y7MxcXiX+s5OcD69fr5UaM8fx+VrKgsXiwWTps2rWKv508ZGWKlYkBsBdC6tbgtp92bd9f2hwMHRKXPapr8iRN6iFLHqagzf9TzrlaLDqRATaP3MwYVIvIP8//Z33WX+DL+/HPx483gUF+xU6W45BKxt45KBhVvlnWXs4gA56Bz992im+mWW8R4mQYNgI0bXQ/WtMu8bUDNmhV7PX8pKBB/D//3f+L+tdfqU9xVaiXq55/FWkEy3Hjj3XdFlUtavFgcf//defuHzz4Txx49xGrIsmKizvyR1wDBX2MlK0uEveuuC247fIBBhYj8Iy5Ov3399WJ6b//+4gv5mmuC1y5AdPPccYcICK506eJ8zm5F5cQJID5e/OtbVk/U6dlq0NE0/ctWbj44eLDo6qjoLC5zUAnkVgqe+OIL4x5KgwdbBxX1c/vLX8RA7fHjvascbN0q/gZuvFEPQBs36o+fOWO8XgYaOYtMrnysVlTU7RWCsaLujh0i7BUWiu7MY8fEPwrCfL8kBhUi8g81qPz5z8Frh5UrrgD+8x/34wj+9jfnc3Zn/fzjH6IbBxDhTNOMi9mpg1u//db5+b76vMxBZfFiff+g8+fF+ivPPeeb96oIdRdsQGy+aBVU5AwgTTN2s1x6qefdccuX67fz88V6OuprqkElM1MfnyKDSr164igrKuZ9iQKxKKBK08Tf9dNPi3Ff6sBfVytBhwkGFSLyD/VfyDfdFLx2uGO1KeH//if2A7r6aufH7FRUNM3YzQOIBcxOnNDvq4N5P/jAeG1cnAg3vmA1aLdXL9F98eijIjw9/LBv3stbxcXGatOAAWJwtVVQkZtcqqvDAmIX6V277L+npunBQ77uxx8bP6/Tp/XbEyeKdrZqpY89kRWV338Xs8WWLhX3ZRUs0BUVNfDOnGns0nr7bdFVFqYYVIjIP9Ql7OW6KqHmwQf1hdWkgQONOyyr7ASV/fvFLs1Sq1ZiLIRKBhVNA95/3/jY4MHO67x4y7w+jLRtG/Dii56/3uHDwA8/6PdLSsQsmREjvP8i3LBBfNlXqybWJZHBTd2rSc4KkxWVFSucX0duIGnHM8+ICoh0113OFTRZUTlzRq/4vPyyvv6PrKjMmiXGgsjtIeQGloEOKu+95/7x1asD0w4/YFAhIv/4xz/E9OOdO4PdEtcaNBD/spbdH0895f56GVTcbfIn/2XduLE45uXpa8k0b66fA8Rno37xA+Iz85Xp00X1xJM1PfLygEmTRIBQZWWJAcZduogApGliD6UuXcTv5+0sLrnh47hxwOTJepdh9epiwcCvvtLXVMnOFuHIHPwAMQ3+1Kny3y8723lfJLW60q2bOMq1gJYvF9WUrl2NA1NlReXXX/VzUVFi7AwQ2KCiaWIat9moUXo7zRtchhEGFSLyj0aNxP95yv/jD2WTJonS+aOPur+ufn1xVLsFpClTRCiYN0/clwN1MzLEF2i9evrYkwMHxPGtt8TxllvEPkdNmjiv3VIRTZuKMSn/938iZFhxOIxdHnffDcyd6zw1W/6LvaAAOH5cBBl180Bzd5cd2dl6BWXsWOfHe/YUU93j4/Xrv/xSdKMlJIiAIWeXffWVvS7G997Td8yWVRHp2WfF+wH6dOj//EcczYsSmp8LiGqc3D4ikGNUNm0SFa1atYz/3R57TN+j6vBh18/PyQnpqcwMKkRE1aoBHToYl/W3Ir+E0tON5w8dErtVb9smxubUq+e8BsqwYfoCbKtWiZlP8sv/3ntFZeW77/yzX1NsLHDwoPM6MYAIKXIqbkmJXv0xT89Vd7zOyHCeOh0Z6X4hOyvLl4sZKW3aiIGgrsigkpWlh7u//lUEA7UKZqf7R86w+te/xH936YUXRFegrIQ9+6wIr998I7qehg83vo7aNSWNHat32wWyoiL31PrrX8UsJqlVK72dcnC32ZEjQLNmwJAhfm1iRTCoEBHZ5SqovPaa8f7o0Xr1Rfrb34yzfb74QnzxpqaKLpS4OONMKX/o3du6YiOnr5p3kZbBY88e447G33+vV0JkZaGkxHpwsiuapn/Bjh3rPiTKgbVHjujjRcaNE0dPdgnft09M4Y2KEmNJ1K0eJk0SbVBngsmxSkOGiE0pVerWCpdeKlb+HTQo8EHlzBn9v8Xdd4uff/1LX2hR/k25Cir33y/CtTr4NsQwqBAR2WUVVPLz9X/lS3feaRxM3LKlmC0ycaLza957r/FLz9/uvFMc1TElspvilVeM18qpty+8YDw/a5YIJZ07Gz8LV4N3rXz9tZipU6OGdbePSlZUnntOBIBu3cSYEUAMZG3XTr/WXViSmwjefLMIJG+9JQKIulKxugmlHLx7//3Or/XXv4pgsmiRGDy9a5eohslxTIWFnleYPJWVJX6PwkL9M6leHZg6VVRJAP2zswoqubnGLRtCdU8oLYxlZ2drALTs7OxgN4WIqoI9ezRNfP1oWqdOmtamjaZNnaqfAzQtOVm/Xp574QX9XGmp8fozZwL7O5SWatp332lacbGm1agh2vDzz+IcoGkOh962ffs07cQJTYuKEvf79TO2/e23xWtWqybuHz+uaadOadrMmZp28qT7dtx8s3jOnXeW3+bHHjO+75IlxscLCvTHzp61fo2TJ/V2fvON+/dr0kR/vcsuE5+ZXdnZ+nMvXLD/PG9Mnqy/18KF1tdkZOjXvPiipp0+rT/24ovGz/XHH/3bXoUn39+sqBAR2SX/lQqIboQffwSef17cf+EF0ZWhLvr19ttinZIJE/RzDocYrwKI1WetBmX6k8MhqgaRkcbp1nLm0y23AJddJm6fOSOmMRcXi26Qv/5Vf53GjfUZLnJp/vPnRXXjySddz6D69FMxnVluVjl5cvltllUB+b633mp8vHp1fbyJq6rO3Lli3E3v3mJBOXdk1Um2r7yxSyp1ark/u38yM/Wus0aNjP9tVOpnN2kSMHu23rZnnzVeu3+/79vpAwwqRER2WS1CBoguobvvFuNQ1DVjRo0C/t//E2MiVM8/L74k1CXXg0F2T333nT6Idto0fXzN/v16d9BDD+kBBhBf4HLgrwwqGzbo64/s3m0cUwIAv/0mBnvK9xoyxNht40psrH777383DoKV5EDl5cuNA38BMRblpZfEbTsL3DVpot/2dNq1Ohj6mmvENH1/+Pe/xdiitDQxC8rV2jvm8zIgLlggZjY1aiTW7gGcuzBDRQAqPH7Drh8iCji1VC5//vnPYLfKO82bi/anporjoEHi/NCh4n5EhDj27Cm6P7KzNa1uXXF9Xp7+OpdcIq6TXUmApvXpo9/evl1c97e/GT+3ffvstfODD/Tn5OdbX9O4sfG1jxzRH7v/fnGue3d73TgFBZo2fbqmbd1qr31mDRsa2+Jrx49rWkyMeO2PPir/erUtDoem5eTobXzlFU379FNxu3lz37fVBXb9EBH5y7x5YuDioUOiGyEtDbjvvmC3yjuy6+fECTEFd84ccV92R8n1RubMEd0fcXFiGvXevcadmOVtde0QdSr0Dz+I6syCBfq50aP1hdzKc9NNojtpxw7jIGWVrKhIx4+L448/6rOynnnGXjdO9eqii6RHD3vtMzPvUu2rQaoTJoi/t5EjRTXlyiv1aog76kwvTRNdf7/9JhYgHDdOTA8HxEyhAQNCbnG4qPIvISKiMvfcI34A8WWsaZ6NYQglEcq/VceO1We8yNVMAdE9c9VV+n2r7RDU17nqKufF306fFl1jJSVixs3s2WImlF1RUc6ryZqp2xYAYsr38OHA+vVijM2NN1rv3+QP11xjXGDt5Ek9DLgjp4lbhbEPPwRefdV47vnn7f3tffwx8MsvYoYUoIe4558XYVWder1unXhN81T1IGJFhYioIsI1pABiPRRJVlMA45iauXPLf52jR/Xbcgqw6sknxb/Sa9USg3MvvdR53E5FDRjgfO6998T4lLp1vdvbyFuPPSZ+5JgmucqtO6dPi6DYurXzINxz55ynSI8fL6ordlSrJhZ/Uxetu+YafZE3dQwQAJw9a+91A4RBhYioqpLrl7zxhnGBujFjxBop775rHFjqyvTpIoR89pkIIXKRMbnRn+z6ePppzxZo88SLL4pQZbVX0tatQIsW/nlfK8nJYq0ZGSR++8399aWloivs6FERatRgo2nisfR0sQ3C9deL9VLkLC1PPPGEfvuNN4whu3dv/fbu3fpO1SGAQYWIqKp69VXRRXHXXcbzl1wiVqN1NeXV7OGHxb/Cr79ejM/YuVOMd+jXT79m4EDrhdN8pW1bsaCeOnXZ4RALsrna58jf5Cq3ciZUUZFYlt+8ENxzz4mQJ8mF5gDgn/8E/vtfMXtn6VJx3a5d1kv4l+eSS8RMsz17jFPtAbGLt7qTt9wjKARwjAoRUVVVo4boEvAFdcqwHAuRnAzcdpvYYXjRIuNYFn+57TZRwUhMFN0p5qXvA0kOSj5zRuxKfd11ogvso4/EINgPPxS35caHkZFiHM+5c+L++++LahUgqkVdulS8TYMGWZ9PTjbu97NnT8Xfy0cYVIiIyD9q1BDrmgSa3OogmCEF0LvTfv0VGDpUn02zfbtYtl8uvgaIatOePcDmzSKorFkjKlqlpaILzVz18oeoKNGFNmmSPrA3BDCoEBER+YMMKosXG88//bTx/rBhIiDIisbLL4tQU1Qkxty8+mrgBm3LMUTmjTeDiGNUiIiI/EEdoBwf7zxG59lnxTTgd94R3WJyufuNG0VIue020S0UyE0rXe0QHkSsqBAREfmDXJemWTOxxxEgqiWAmDot90qS1GDz4INi+4VAjOtRJSWJY2ZmYN/XDQYVIiIif2jXTsyqSknRV6tduxZo2lQfcKwaMUJsann33c4hJlDkbKKLF8V6Lq72EAogh6aZ50mFj5ycHMTHxyM7Oxtxct4+EREReae0VAyq1TTR/eOnAcmefH+HxBiVV155Bc2aNUONGjXQvXt3bN++PdhNIiIiqnoiIvQVdeU06SALelBZtmwZpk6dipkzZ2L37t3o1KkTrrvuOmSGUP8YERFRlSG7fxhUhOeffx533XUXxo4di7Zt2+K1115DbGwsFi5cGOymERERVT0MKrrCwkLs2rULA5TNpCIiIjBgwABs3brV6fqCggLk5OQYfoiIiMiHZFC58UaxfovdrRT8JKhB5cyZMygpKUGSnA71h6SkJGRkZDhdP3v2bMTHx5f9pPprcysiIqKqymon6iAKetePJ2bMmIHs7OyynxMnTgS7SURERJXLtGmi2yczU/y89lpQmxPUdVTq16+PyMhInDp1ynD+1KlTSLaYEhUdHY3oEJjTTUREVKnJmT8hIKgVlerVq6Nbt25Yt25d2bnS0lKsW7cOPXv2DGLLiIiIKBQEfWXaqVOnYvTo0UhLS8MVV1yBF154AefPn8fYsWOD3TQiIiIKsqAHlWHDhuH06dN4/PHHkZGRgc6dO2P16tVOA2yJiIio6uES+kRERBRQYbeEPhEREZEVBhUiIiIKWQwqREREFLIYVIiIiChkMagQERFRyGJQISIiopDFoEJEREQhi0GFiIiIQhaDChEREYWsoC+hXxFyUd2cnJwgt4SIiIjskt/bdhbHD+ugkpubCwBITU0NckuIiIjIU7m5uYiPj3d7TVjv9VNaWorffvsNtWvXhsPh8Olr5+TkIDU1FSdOnOA+QuXgZ2UfPyv7+Fl5hp+Xffys7PPXZ6VpGnJzc9GwYUNERLgfhRLWFZWIiAg0btzYr+8RFxfHP2Sb+FnZx8/KPn5WnuHnZR8/K/v88VmVV0mROJiWiIiIQhaDChEREYUsBhUXoqOjMXPmTERHRwe7KSGPn5V9/Kzs42flGX5e9vGzsi8UPquwHkxLRERElRsrKkRERBSyGFSIiIgoZDGoEBERUchiUCEiIqKQxaCimDNnDhwOByZPnlx27uLFi5gwYQLq1auHWrVq4c9//jNOnToVvEYGyRNPPAGHw2H4adOmTdnj/JyMTp48iTvuuAP16tVDTEwMOnTogJ07d5Y9rmkaHn/8caSkpCAmJgYDBgzA4cOHg9ji4GnWrJnT35bD4cCECRMA8G9LVVJSgsceewzNmzdHTEwMWrZsiaeeesqwXwr/tnS5ubmYPHkymjZtipiYGPTq1Qs7duwoe7yqflabNm3C4MGD0bBhQzgcDqxatcrwuJ3P5ezZsxgxYgTi4uKQkJCA8ePHIy8vzz8N1kjTNE3bvn271qxZM61jx47apEmTys7fc889WmpqqrZu3Tpt586dWo8ePbRevXoFr6FBMnPmTK1du3Zaenp62c/p06fLHufnpDt79qzWtGlTbcyYMdq2bdu0o0ePamvWrNF++umnsmvmzJmjxcfHa6tWrdL27dun3XTTTVrz5s21CxcuBLHlwZGZmWn4u1q7dq0GQFu/fr2mafzbUj399NNavXr1tE8++UQ7duyYtmLFCq1WrVraiy++WHYN/7Z0t99+u9a2bVtt48aN2uHDh7WZM2dqcXFx2q+//qppWtX9rP73v/9pjz76qPbhhx9qALSVK1caHrfzuVx//fVap06dtG+++Ub76quvtFatWmnDhw/3S3sZVDRNy83N1Vq3bq2tXbtW69u3b1lQycrK0qpVq6atWLGi7NoffvhBA6Bt3bo1SK0NjpkzZ2qdOnWyfIyfk9G0adO0Pn36uHy8tLRUS05O1p577rmyc1lZWVp0dLT23nvvBaKJIW3SpElay5YttdLSUv5tmQwaNEgbN26c4dwtt9yijRgxQtM0/m2p8vPztcjISO2TTz4xnO/atav26KOP8rP6gzmo2PlcDhw4oAHQduzYUXbNZ599pjkcDu3kyZM+byO7fgBMmDABgwYNwoABAwznd+3ahaKiIsP5Nm3aoEmTJti6dWugmxl0hw8fRsOGDdGiRQuMGDECx48fB8DPyezjjz9GWloabrvtNiQmJqJLly6YP39+2ePHjh1DRkaG4fOKj49H9+7dq+TnpSosLMQ777yDcePGweFw8G/LpFevXli3bh0OHToEANi3bx++/vprDBw4EAD/tlTFxcUoKSlBjRo1DOdjYmLw9ddf87Nywc7nsnXrViQkJCAtLa3smgEDBiAiIgLbtm3zeZvCelNCX1i6dCl2795t6LeUMjIyUL16dSQkJBjOJyUlISMjI0AtDA3du3fHokWLcOmllyI9PR1PPvkkrrzySuzfv5+fk8nRo0cxb948TJ06FY888gh27NiBBx54ANWrV8fo0aPLPpOkpCTD86rq56VatWoVsrKyMGbMGAD836DZ9OnTkZOTgzZt2iAyMhIlJSV4+umnMWLECADg35aidu3a6NmzJ5566ilcdtllSEpKwnvvvYetW7eiVatW/KxcsPO5ZGRkIDEx0fB4VFQU6tat65fPrkoHlRMnTmDSpElYu3atU+omI/kvNgDo2LEjunfvjqZNm2L58uWIiYkJYstCT2lpKdLS0vDMM88AALp06YL9+/fjtddew+jRo4PcutC2YMECDBw4EA0bNgx2U0LS8uXL8e6772LJkiVo164d9u7di8mTJ6Nhw4b827Lwn//8B+PGjUOjRo0QGRmJrl27Yvjw4di1a1ewm0YeqNJdP7t27UJmZia6du2KqKgoREVFYePGjZg7dy6ioqKQlJSEwsJCZGVlGZ536tQpJCcnB6fRISIhIQGXXHIJfvrpJyQnJ/NzUqSkpKBt27aGc5dddllZV5n8TMwzV6rq5yX98ssv+OKLL3DnnXeWnePfltFDDz2E6dOn4y9/+Qs6dOiAkSNHYsqUKZg9ezYA/m2ZtWzZEhs3bkReXh5OnDiB7du3o6ioCC1atOBn5YKdzyU5ORmZmZmGx4uLi3H27Fm/fHZVOqj0798f3333Hfbu3Vv2k5aWhhEjRpTdrlatGtatW1f2nIMHD+L48ePo2bNnEFsefHl5eThy5AhSUlLQrVs3fk6K3r174+DBg4Zzhw4dQtOmTQEAzZs3R3JysuHzysnJwbZt26rk5yW99dZbSExMxKBBg8rO8W/LKD8/HxERxv/bjoyMRGlpKQD+bblSs2ZNpKSk4Ny5c1izZg2GDBnCz8oFO59Lz549kZWVZahMffnllygtLUX37t193yifD88Nc+qsH00TUyObNGmiffnll9rOnTu1nj17aj179gxeA4Pk73//u7Zhwwbt2LFj2ubNm7UBAwZo9evX1zIzMzVN4+ek2r59uxYVFaU9/fTT2uHDh7V3331Xi42N1d55552ya+bMmaMlJCRoH330kfbtt99qQ4YMqRLTIl0pKSnRmjRpok2bNs3pMf5t6UaPHq01atSobHryhx9+qNWvX197+OGHy67h35Zu9erV2meffaYdPXpU+/zzz7VOnTpp3bt31woLCzVNq7qfVW5urrZnzx5tz549GgDt+eef1/bs2aP98ssvmqbZ+1yuv/56rUuXLtq2bdu0r7/+WmvdujWnJweKOahcuHBBu++++7Q6deposbGx2s0336ylp6cHr4FBMmzYMC0lJUWrXr261qhRI23YsGGGdUH4ORn997//1dq3b69FR0drbdq00d544w3D46Wlpdpjjz2mJSUladHR0Vr//v21gwcPBqm1wbdmzRoNgOVnwL8tXU5OjjZp0iStSZMmWo0aNbQWLVpojz76qFZQUFB2Df+2dMuWLdNatGihVa9eXUtOTtYmTJigZWVllT1eVT+r9evXawCcfkaPHq1pmr3P5ffff9eGDx+u1apVS4uLi9PGjh2r5ebm+qW9Dk1TljQkIiIiCiFVeowKERERhTYGFSIiIgpZDCpEREQUshhUiIiIKGQxqBAREVHIYlAhIiKikMWgQkRERCGLQYWIiIhCFoMKERERhSwGFSIiIgpZDCpERDadOHEC/fr1Q9u2bdGxY0esWLEi2E0iqvS41w8RkU3p6ek4deoUOnfujIyMDHTr1g2HDh1CzZo1g900okqLFRUiKle/fv0wefLkYDfDpX79+sHhcMDhcGDv3r1+e5+UlBR07twZAJCcnIz69evj7NmzZY+PGTOmrB2rVq3yWzuIqhIGFaJKbPDgwbj++ustH/vqq6/gcDjw7bffBrhV/nHXXXchPT0d7du3D8j77dq1CyUlJUhNTS079+KLLyI9PT0g709UVTCoEFVi48ePx9q1a/Hrr786PfbWW28hLS0NHTt2DELLfC82NhbJycmIiory+3udPXsWo0aNwhtvvGE4Hx8fj+TkZL+/P1FVwqBCVIndeOONaNCgARYtWmQ4n5eXhxUrVmD8+PEAgIKCAjzwwANITExEjRo10KdPH+zYscPl6zZr1gwvvPCC4Vznzp3xxBNPlN3v168fJk6ciMmTJ6NOnTpISkrC/Pnzcf78eYwdOxa1a9dGq1at8Nlnnxlep7S0FLNnz0bz5s0RExODTp064f333/f4d+/Xrx8eeOABPPzww6hbty6Sk5MN7fO2jQUFBRg6dCimT5+OXr16edwuIvIMgwpRJRYVFYVRo0Zh0aJFUMfNr1ixAiUlJRg+fDgA4OGHH8YHH3yAt99+G7t370arVq1w3XXXGcZfeOPtt99G/fr1sX37dkycOBH33nsvbrvtNvTq1Qu7d+/Gtddei5EjRyI/P7/sObNnz8bixYvx2muv4fvvv8eUKVNwxx13YOPGjV69f82aNbFt2zY8++yzmDVrFtauXet1GzVNw5gxY3D11Vdj5MiRFfpsiMgmjYgqtR9++EEDoK1fv77s3JVXXqndcccdmqZpWl5enlatWjXt3XffLXu8sLBQa9iwofbss89qmqZpffv21SZNmlT2eNOmTbV///vfhvfp1KmTNnPmzLL7ffv21fr06VN2v7i4WKtZs6Y2cuTIsnPp6ekaAG3r1q2apmnaxYsXtdjYWG3Lli2G1x4/frw2fPhwl7+juX1W769pmnb55Zdr06ZN87qNX331leZwOLROnTqV/Xz77bdO7QGgrVy50mV7icg+/3fmElFQtWnTBr169cLChQvRr18//PTTT/jqq68wa9YsAMCRI0dQVFSE3r17lz2nWrVquOKKK/DDDz9U6L3V8S+RkZGoV68eOnToUHYuKSkJAJCZmQkA+Omnn5Cfn49rrrnG8DqFhYXo0qVLhd4fELN25Ht508abbroJpaWlHreDiLzHoEJUBYwfPx4TJ07EK6+8grfeegstW7ZE3759vX69iIgIQ1cSABQVFTldV61aNcN9h8NhOOdwOACg7Ms/Ly8PAPDpp5+iUaNGhudGR0d73E6r9zcHDU/bSESBxTEqRFXA7bffjoiICCxZsgSLFy/GuHHjyr6AW7ZsierVq2Pz5s1l1xcVFWHHjh1o27at5es1aNDAMA03JycHx44dq3A727Zti+joaBw/fhytWrUy/KjTgImo6mBFhagKqFWrFoYNG4YZM2YgJycHY8aMKXusZs2auPfee/HQQw+hbt26aNKkCZ599lnk5+eXzQoyu/rqq7Fo0SIMHjwYCQkJePzxxxEZGVnhdtauXRsPPvggpkyZgtLSUvTp0wfZ2dnYvHkz4uLiMHr06Aq/BxGFFwYVoipi/PjxWLBgAW644QY0bNjQ8NicOXNQWlqKkSNHIjc3F2lpaVizZg3q1Klj+VozZszAsWPHcOONNyI+Ph5PPfWUTyoqAPDUU0+hQYMGmD17No4ePYqEhAR07doVjzzyiE9en4jCC/f6IaKw169fP3Tu3NlpbZdgcTgcWLlyJYYOHRrsphCFPY5RIaJK4dVXX0WtWrXw3XffBa0N99xzD2rVqhW09yeqjFhRIaKwd/LkSVy4cAEA0KRJE1SvXj0o7cjMzEROTg4AMRWauyoTVRyDChEREYUsdv0QERFRyGJQISIiopDFoEJEREQhi0GFiIiIQhaDChEREYUsBhUiIiIKWQwqREREFLIYVIiIiChkMagQERFRyGJQISIiopD1/wEBYot/rqNHjAAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] @@ -529,29 +502,36 @@ } ], "source": [ - "#VOORBEELDUITWERKING\n", + "# breid deze code uit met jouw antwoord\n", "\n", + "num_steps = round(2/3 * BOX_SIZE_0 / (2 * -V_PISTON_0 * DT))\n", "particles = []\n", - "volumes = np.zeros(1000, dtype=float)\n", - "pressures = np.zeros(1000, dtype=float)\n", - "# times = np.linspace(1, 100, 100)\n", + "volumes = np.zeros(num_steps, dtype=float)\n", + "pressures = np.zeros(num_steps, dtype=float)\n", "\n", "pressure = 0.0\n", "box_length = BOX_SIZE_0 # zetten zuiger terug\n", "v_piston = V_PISTON_0\n", "create_particles(particles) # resetten deeltjes \n", - "for i in range(1000):\n", + "for i in range(num_steps):\n", " take_time_step(particles)\n", + " # RUIMTE VOOR UITWERKING\n", + " ### begin-solution\n", " volumes[i] = box_length * box_height\n", - " pressures[i] = pressure\n", + " pressures[i] = pressure \n", + "\n", + "pressures = pressures * 30 * 1.7E-27 \n", "\n", "plt.figure()\n", "plt.xlabel('Volume [nm$^2$]')\n", - "plt.ylabel('pressure [a.u.]')\n", + "plt.ylabel('pressure [kg/s$^{2}$]')\n", "\n", "plt.plot(volumes, pressures, '-r')\n", "\n", - "plt.show()" + "plt.show()\n", + "### end-solution\n", + "\n", + "# PLOT GRAFIEK" ] }, { @@ -561,13 +541,17 @@ "source": [ "Als je simulatie klopt heeft deze grafiek de vorm van een machtsfunctie met een negatieve exponent. \n", "\n", - "```{exercise}\n", - ":label: expected_exponent\n", + "```{exercise} Exponent\n", + ":label: ex-arbeid-05\n", "Leg uit welke factor je hier verwacht voor de exponent op basis van de theorie van het boek.\n", "```\n", "\n", - "```{solution} expected_exponent\n", + "```{solution} ex-arbeid-05\n", "Jouw antwoord hier...\n", + "\n", + "### begin-solution\n", + "Deze exponent is -gamma (k in het boek). Het gaat hier om een ideaal gas met 2 dimensies zodat k = C_p/C_v= (C_v+R)/C_v = (2/2 R + R)/R = 2. We verwachten hier dus de exponent -2.\n", + "### end-solution \n", "```" ] }, @@ -577,33 +561,28 @@ "metadata": {}, "source": [ "```{exercise}\n", - "Bepaal met behulp van een fit wat het resultaat van de simulatie voor de machtsterm is.\n", + ":label: ex-arbeid-06\n", + "Bepaal met behulp van een fit wat het resultaat van de simulatie voor de machtsterm is. Let op dat je goed beginwaardes meegeeft bij de code `p0=...`, anders dan breekt de fitfunctie af, omdat er geen goed antwoord gevonden kan worden.\n", "```" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 23, "id": "f11776b9", "metadata": {}, - "outputs": [], - "source": [ - "def power_law(vol, a, n):\n", - " \"\"\" de fitfunctie voor het P,V-diagram \"\"\"\n", - " return a * vol**n \n", - "\n", - "# RUIMTE VOOR VERDERE UITWERKING" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "1b17eb20", - "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/cs/rkvgfpq56ps6ksq49_kts0pnl72bdx/T/ipykernel_85266/2260243627.py:3: RuntimeWarning: overflow encountered in power\n", + " return a * (vol)**n\n" + ] + }, { "data": { - "image/png": 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", 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", 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" ] @@ -613,13 +592,15 @@ } ], "source": [ - "# VOORBEELDUITWERKING\n", + "def power_law(vol, a, n):\n", + " \"\"\" de fitfunctie voor het P,V-diagram \"\"\"\n", + " return a * (vol)**n \n", "\n", - "def power_law(vol, a, b, n):\n", - " return a * (vol - b)**n \n", + "# RUIMTE VOOR VERDERE UITWERKING\n", "\n", + "### begin-solution\n", "# we fitten de eerste 20 punten niet mee in verband met de integrator vd druk\n", - "popt, pocv = curve_fit(power_law, volumes[20:], pressures[20:], p0=[3000 ,20, -2])\n", + "popt, pocv = curve_fit(power_law, volumes[20:], pressures[20:], maxfev=8000, p0=[1E-40, -2])\n", "\n", "x_fit = volumes\n", "y_fit = power_law(x_fit, *popt)\n", @@ -629,11 +610,12 @@ "plt.ylabel('pressure [a.u.]')\n", "\n", "plt.plot(volumes[20:], pressures[20:], 'bo', label='simulation')\n", - "plt.plot(x_fit, y_fit, 'r-', label='power law with n = ' + str(popt[2]))\n", + "plt.plot(x_fit, y_fit, 'r-', label='power law with $n = %0.2g * V ^{%0.2f}$' % (popt[0], popt[1]))\n", "\n", "plt.legend()\n", "\n", - "plt.show()" + "plt.show()\n", + "### end-solution\n" ] }, { @@ -643,13 +625,16 @@ "source": [ "Als je de simulatie een aantal keer uitvoert, zie je dat er een structureel verschil zit tussen de waarde die je verwacht en de waarde die je uit de fit krijgt.\n", "\n", - "```{exercise}\n", - ":label: reason_power\n", - "Wat is de belangrijkste reden voor deze afwijking? Geef een methode van aanpak waarmee je voor deze simulatie kan verifiëren of dit inderdaad de juiste is.\n", + "```{exercise} Afwijking\n", + ":label: ex-arbeid-07\n", + "Wat is de belangrijkste reden voor deze afwijking? Geef een methode van aanpak waarmee je voor deze simulatie kan verifiëren of dit inderdaad de juiste is. (Je hoeft dit niet uit te voeren, maar het mag natuurlijk wel)\n", "```\n", "\n", "```{solution} reason_power\n", "Jouw antwoord hier...\n", + "### begin-solution\n", + "De belangrijkste reden voor deze afwijking is dat onze deeltjes een eindige grootte hebben. We kunnen dat effect verkleinen door de deeltjes een kleinere straal te geven. Als alternatief kan je de formule van Van Der Waals in de fit-functie opnemen en het dode formule bepalen met de fit. Dat lukt alleen als je de beginwaardes voldoende correct hebt gekozen en ook voldoende domein hebt gekozen voor het volume. \n", + "### end-solution\n", "```" ] }, @@ -658,7 +643,7 @@ "id": "aca7ca3d", "metadata": {}, "source": [ - "We gaan controleren of de simulatie voldoet aan de eerste hoofdwet van de thermodynamica. Omdat er (nog) geen warmte wordt uitgewisseld, moeten we hiervoor alleen de arbeid bepalen. De arbeid wordt geleverd door de zuiger(s) op de gasmoleculen. Dus op het moment dat we de botsingen van de moleculen met de wand behadelen, kunnen we ook de verrichte arbeid bepalen. Volgens het boek wordt die bepaalt door:\n", + "We gaan controleren of de simulatie voldoet aan de eerste hoofdwet van de thermodynamica. Omdat er (nog) geen warmte wordt uitgewisseld, moeten we hiervoor alleen de arbeid bepalen. De arbeid wordt geleverd door de zuiger(s) op de deeltjes. Dus in de functie waar we de botsingen van de deeltjes met de wand behandelen, kunnen we ook de verrichte arbeid bepalen. Volgens het boek wordt die bepaalt door:\n", "\n", "$$\n", " W = \\int_1^2 P dV\n", @@ -681,7 +666,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 13, "id": "f32ca609", "metadata": {}, "outputs": [], @@ -711,13 +696,16 @@ "id": "8c7ce9bc", "metadata": {}, "source": [ - "```{exercise}\n", - ":label: keuze_grafiek\n", + "```{exercise} Eerste Hoofdwet\n", + ":label: ex-arbeid-08\n", "Welke twee grootheden kan je nu tegen elkaar uitzetten om te valideren of de simulatie aan de eerste hoofdwet voldoet? En welke grafiek verwacht je dan dat daar uitkomt?\n", "```\n", "\n", - "```{solution} keuze_grafiek\n", + "```{solution} ex-arbeid-08\n", "Hier jouw antwoord...\n", + "### begin-solution\n", + "Omdat er geen warmteuitwissling plaatsvindt, zijn alleen de interne energie en de arbeid interessant. De interne energie wordt alleen gegeven door de kinetische term, want er is geen potentiële energie zonder krachtwisselwerking. We moeten dus de temperatuur plotten tegen arbeid. In welke vorm je dat doet, maakt niet echt uit. Als je hun waardes direct plot verwacht je een rechte lijn. \n", + "### end-solution \n", "```" ] }, @@ -726,40 +714,21 @@ "id": "2b2a52d7", "metadata": {}, "source": [ - "```{exercise}\n", + "```{exercise} Hoofdwet gecontroleerd\n", + ":label: ex-arbeid-09\n", "Stel de code op om deze grafiek te produceren. Neem wederom 1000 tijdstappen met de standaard snelheid voor de zuiger en vergelijk het resultaat met je hypothese.\n", "```" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 14, "id": "3b64e77a", "metadata": {}, - "outputs": [], - "source": [ - "temperatures = np.zeros(1000, dtype=float)\n", - "works = np.zeros(1000, dtype=float)\n", - "\n", - "pressure = 0.0\n", - "work = 0.0\n", - "box_length = BOX_SIZE_0 # zetten zuiger terug\n", - "v_piston = V_PISTON_0\n", - "create_particles(particles) # resetten deeltjes \n", - "for i in range(1000):\n", - " take_time_step(particles)\n", - " # RUIMTE VOOR VERDERE UITWERKING" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "f8655cb8", - "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -769,34 +738,30 @@ } ], "source": [ - "# VOORBEELDUITWERKING\n", - "\n", "particles = []\n", - "temperatures = np.zeros(1000, dtype=float)\n", - "works = np.zeros(1000, dtype=float)\n", - "# volumes = np.zeros(1000, dtype=float)\n", - "# pressures = np.zeros(1000, dtype=float)\n", - "# times = np.linspace(1, 100, 100)\n", - "\n", "pressure = 0.0\n", "work = 0.0\n", "box_length = BOX_SIZE_0 # zetten zuiger terug\n", "v_piston = V_PISTON_0\n", "create_particles(particles) # resetten deeltjes \n", + "\n", + "# RUIMTE VOOR VERDERE UITWERKING\n", + "### begin-solution\n", + "temperatures = np.zeros(1000, dtype=float)\n", + "works = np.zeros(1000, dtype=float)\n", "for i in range(1000):\n", " take_time_step(particles)\n", " temperatures[i] = temperature(particles)\n", " works[i] = work\n", "\n", "plt.figure()\n", - "plt.xlabel('Temperature [K]')\n", - "plt.ylabel('Work [a.u.]')\n", - "\n", - "temperatures = np.asarray(temperatures) * 30 * 1.7E-27 * (1E-9 / 2.5E-12)**2 / 1.38E-23\n", + "plt.xlabel('Temperature')\n", + "plt.ylabel('Work')\n", "\n", "plt.plot(temperatures, works, '-r')\n", "\n", - "plt.show()" + "plt.show()\n", + "### end-solution\n" ] }, { @@ -806,44 +771,21 @@ "source": [ "Als laatste onderdeel van dit werkblad maken we een eenvoudige cyclus. We comprimeren het volume gedurende 1000 tijdstappen en keren daarna in 1000 gelijke tijdstappen terug naar het startvolume. \n", "\n", - "```{exercise}\n", + "```{exercise} Terugkeren\n", + ":label: ex-arbeid-10\n", "Herhaal voor deze simulatie de vorige plot. Gebruik een verschillende kleur voor de grafiek tijdens de compressie en de decompressie.\n", "```" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 15, "id": "c62b8a99", "metadata": {}, - "outputs": [], - "source": [ - "xvalues = np.zeros(2000, dtype=float) # 1000 heen en 1000 terug\n", - "yvalues = np.zeros(2000, dtype=float)\n", - "\n", - "box_length = BOX_SIZE_0 # zetten zuiger terug\n", - "v_piston = V_PISTON_0\n", - "create_particles(particles) # resetten deeltjes \n", - "for i in range(1000):\n", - " take_time_step(particles)\n", - " # AANVULLEN UITWERKING\n", - "v_piston = -V_PISTON_0\n", - "for i in range(100,200):\n", - " take_time_step(particles)\n", - " # AANVULLEN UITWERKING\n", - "\n", - "# AANVULLEN MET REST CODE" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "74f9e2b9", - "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -853,20 +795,18 @@ } ], "source": [ - "# VOORBEELDUITWERKING\n", - "\n", "particles = []\n", - "temperatures = np.zeros(2000, dtype=float)\n", - "works = np.zeros(2000, dtype=float)\n", - "# volumes = np.zeros(1000, dtype=float)\n", - "# pressures = np.zeros(1000, dtype=float)\n", - "# times = np.linspace(1, 100, 100)\n", - "\n", "pressure = 0.0\n", "work = 0.0\n", "box_length = BOX_SIZE_0 # zetten zuiger terug\n", "v_piston = V_PISTON_0\n", "create_particles(particles) # resetten deeltjes \n", + "\n", + "### begin-solution\n", + "\n", + "temperatures = np.zeros(2000, dtype=float)\n", + "works = np.zeros(2000, dtype=float)\n", + "\n", "for i in range(1000):\n", " take_time_step(particles)\n", " temperatures[i] = temperature(particles)\n", @@ -881,12 +821,14 @@ "plt.xlabel('Temperature [K]')\n", "plt.ylabel('Work [a.u.]')\n", "\n", - "temperatures = np.asarray(temperatures) * 30 * 1.7E-27 * (1E-9 / 2.5E-12)**2 / 1.38E-23\n", + "temperatures = np.asarray(temperatures)\n", "\n", "plt.plot(temperatures[0:999], works[0:999], '-r')\n", "plt.plot(temperatures[1000:1999], works[1000:1999], '-b')\n", "\n", - "plt.show()" + "plt.show()\n", + "\n", + "### end-solution" ] }, { @@ -894,30 +836,21 @@ "id": "dd359502", "metadata": {}, "source": [ - "```{exercise}\n", + "```{exercise} Afhankelijk van snelheid\n", + ":label: ex-arbeid-11\n", "Herhaal deze simulatie maar nu met een 5 keer zo hoge snelheid voor de zuiger in beide richtingen. Pas het aantal tijdstappen aan tot 400, zodat de zuiger in één 'slag' dezelfde afstand aflegt. \n", "```" ] }, { "cell_type": "code", - "execution_count": 22, - "id": "0acd37cb", - "metadata": {}, - "outputs": [], - "source": [ - "# RUIMTE VOOR UITWERKING" - ] - }, - { - "cell_type": "code", - "execution_count": 23, + "execution_count": 16, "id": "0b144471", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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" ] @@ -927,20 +860,16 @@ } ], "source": [ - "# VOORBEELDUITWERKING\n", - "\n", "particles = []\n", - "temperatures = np.zeros(400, dtype=float)\n", - "works = np.zeros(400, dtype=float)\n", - "# volumes = np.zeros(1000, dtype=float)\n", - "# pressures = np.zeros(1000, dtype=float)\n", - "# times = np.linspace(1, 100, 100)\n", - "\n", "pressure = 0.0\n", "work = 0.0\n", "box_length = BOX_SIZE_0 # zetten zuiger terug\n", "v_piston = 5 * V_PISTON_0\n", - "create_particles(particles) # resetten deeltjes \n", + "create_particles(particles) # resetten deeltjes\n", + "\n", + "### begin-solution\n", + "temperatures = np.zeros(400, dtype=float)\n", + "works = np.zeros(400, dtype=float)\n", "for i in range(200):\n", " take_time_step(particles)\n", " temperatures[i] = temperature(particles)\n", @@ -952,15 +881,16 @@ " works[i] = work\n", "\n", "plt.figure()\n", - "plt.xlabel('Temperature [K]')\n", - "plt.ylabel('Work [a.u.]')\n", + "plt.xlabel('Temperature')\n", + "plt.ylabel('Work')\n", "\n", - "temperatures = np.asarray(temperatures) * 30 * 1.7E-27 * (1E-9 / 2.5E-12)**2 / 1.38E-23\n", + "temperatures = np.asarray(temperatures)\n", "\n", "plt.plot(temperatures[0:199], works[0:199], '-r')\n", "plt.plot(temperatures[200:399], works[200:399], '-b')\n", "\n", - "plt.show()" + "plt.show()\n", + "### end-solution" ] }, { @@ -970,8 +900,9 @@ "source": [ "In deze laatste simulatie zie je (bij een correcte code) dat nog altijd netjes wordt voldaan aan de eerste hoofdwet. Ondanks dat, zie je dat het systeem niet terugkeert in dezelfde toestand als in het begin. In het boek wordt dit omschreven in het deel over 'quasiequilibrium': Processen moeten voldoende traag plaatsvinden zodat er zich een evenwicht kan vormen binnen het gas. Als processen te snel plaatsvinden is er geen sprake van equilibrium en kan je de macroscopische thermodynamische formules niet langer gebruiken.\n", "\n", - "```{exercise}\n", - "Reken de snelheid van de zuiger bij de laatste twee processen om naar een snelheid in SI-eenheden, als je voor je code andere eenheden hebt gekozen. De kwaliteit van onze simulaties is onvoldoende gedetailleerd om echt uitspraken te kunnen doen over non-equilibrium processen. Maar het antwoord laat zien dat we ons in het laboratorium niet direct zorgen hoeven maken.\n", + "```{exercise} Getallen en eenheden hh\n", + ":label: ex-arbeid-12\n", + "Zorg ervoor dat er in de grafiek hierboven daadwerkelijk SI-eenheden op de assen staan, als je voor je code andere eenheden hebt gekozen. Bekijk ook wat de snelheid van de zuiger in SI-eenheden is. De kwaliteit van onze simulaties is onvoldoende gedetailleerd om echt uitspraken te kunnen doen over non-equilibrium processen, maar het antwoord laat zien dat we ons in het laboratorium niet direct zorgen hoeven maken.\n", "```" ] }, @@ -981,7 +912,21 @@ "metadata": {}, "source": [ "```{exercise}\n", - "Laat je werkboek aftekenen door een TA.\n", + "Laat je werkboek aftekenen door een TA, of ga door met de extra opdrachten voor een 'excellent' beoordeling.\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "96789995", + "metadata": {}, + "source": [ + "```{exercise} 🌶 Uitbreiding\n", + "In bovenstaande simulatie hebben de twee zuigers een tegengestelde beweging. Maak nu een nieuwe simulatie, waarbij de twee zuigers in dezelfde richting bewegen. Dan verandert het oppervlak van het volume dus niet. (Dit kan in een nieuw werkblad, als je dat fijner vindt)\n", + "\n", + "- Meet de temperatuur van het gas als functie van de verplaatsing van de zuigers. Beweeg de zuigers minimaal over de halve lengte van het volume. \n", + "- Varieer de snelheid van de zuigers en de starttemperatuur van het gas en onderzoek de resultaten.\n", + "- Verklaar het gedrag. Doe dit zowel op een microscopisch niveau (met stuiterende balletjes met een impuls en een energie) als op een macroscopisch niveau (met druk, volume en temperatuur)\n", "```" ] } From 81acc315a4b0f147f4df6863518efe4b00203221 Mon Sep 17 00:00:00 2001 From: Roel Smit Date: Mon, 1 Dec 2025 12:56:54 +0100 Subject: [PATCH 2/3] complete thermostaat with answers and part for excellent --- book/Q2/Thermostaat.ipynb | 197 +++++++++++++++++++------------------- 1 file changed, 101 insertions(+), 96 deletions(-) diff --git a/book/Q2/Thermostaat.ipynb b/book/Q2/Thermostaat.ipynb index 65fe9fa..5ea0418 100644 --- a/book/Q2/Thermostaat.ipynb +++ b/book/Q2/Thermostaat.ipynb @@ -11,7 +11,7 @@ "\n", "We gaan de simulatie nu uitbreiden met de mogelijkheid om warmte aan en af te voeren uit het controlevolume. Op die manier kunnen we ook isotherme simulaties doen.\n", "\n", - "Eerst herhalen we de nodige ingrdienten:\n", + "Eerst herhalen we de nodige ingrediënten:\n", "\n", " klasse voor het deeltje met bijbehorende functies\n", "- variabelen en randcondities van controle volume\n", @@ -26,23 +26,23 @@ "\n", "De pakketten van Python en de constanten voor de simulatie:\n", "\n", - "```{exercise}\n", + "```{exercise} constanten\n", + ":label: ex-thermostat-01\n", "Neem de constanten die je in het vorige werkblad hebt gekozen hieronder over.\n", "```\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "c9e050af", "metadata": {}, "outputs": [], "source": [ - "# ruimte voor uitwerking\n", - "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.animation import FuncAnimation\n", + "from scipy.optimize import curve_fit\n", "\n", "BOX_SIZE_0 = 0 # Hoogte en lengte startvolume\n", "N = 40 # Aantal deeltjes\n", @@ -50,30 +50,16 @@ "RADIUS = 0 # Straal van moleculen\n", "DT = 0 # Tijdstap om geen botsing te missen\n", "V_PISTON_0 = -0.1 * V_0 # Startsnelheid van zuiger \n", - "# (negatief betekent zowel links als rechts naar binnen gericht)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c8dad5ff", - "metadata": {}, - "outputs": [], - "source": [ - "# voorbeelduitwerking\n", - "\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from matplotlib.animation import FuncAnimation\n", - "from scipy.optimize import curve_fit\n", + "# (negatief betekent zowel links als rechts naar binnen gericht)\n", "\n", - "BOX_SIZE_0 = 10 # Hoogte en breedte startvolume\n", + "### begin-solution\n", + "BOX_SIZE_0 = 1E-8 # Hoogte en breedte startvolume\n", "N = 40 # Aantal deeltjes\n", - "V_0 = 1 # Startsnelheid van deeltjes\n", - "RADIUS = 0.1 # Straal van moleculen\n", - "DT = 0.3 * RADIUS / V_0 # Tijdstap om geen botsing te missen\n", - "V_PISTON_0 = -0.1 # Startsnelheid van zuiger \n", - "# (negatief betekent zowel links als rechts naar binnen gericht)" + "V_0 = 400 # Startsnelheid van deeltjes\n", + "RADIUS = 3E-10 # Straal van moleculen\n", + "DT = 7.5E-14 # Tijdstap om geen botsing te missen 0.1 * RADIUS / V_0\n", + "V_PISTON_0 = -40 # Startsnelheid van zuiger \n", + "### end-solution" ] }, { @@ -141,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "79d58655", "metadata": {}, "outputs": [], @@ -170,12 +156,17 @@ "id": "ff70c03a", "metadata": {}, "source": [ - "De functies voor het uitvoeren van de functies over de gehele lijst met deeltjes, waarbij we de werking van de zuiger ook hebben meegenomen:" + "De functies voor het uitvoeren van de functies over de gehele lijst met deeltjes, waarbij we de werking van de zuiger ook hebben meegenomen:\n", + "\n", + "```{exercise} temperatuur\n", + ":label: ex-thermostat-02\n", + "Pas de code voor de functie `temperature` aan naar de functie die je op de vorige werkbladen hebt gebruikt.\n", + "```" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "9ce2d142", "metadata": {}, "outputs": [], @@ -192,11 +183,13 @@ " particles.append(ParticleClass(m=1.0, v=[vx, vy], r=[x, y], R=RADIUS))\n", " \n", "def temperature(particles) -> float:\n", - " # student moet hier eigen code invoeren\n", " temp = 0.0\n", + " # hier jouw code\n", + " ### begin-solution\n", " for p in particles:\n", " temp += p.kin_energy\n", - " temp = temp / len(particles)\n", + " temp = 28 * 1.7E-27 * temp / (len(particles) * 1.38E-23)\n", + " ### end-solution\n", " return temp\n", " \n", "def handle_collisions(particles):\n", @@ -233,7 +226,7 @@ "source": [ "## Test code\n", "\n", - "Voordat we de code aanpassen controleren we eerst of alles het doet. Hiervoor maken we zowel een P,V-diagram als een T,V-diagram tijdens de werking van de zuiger:" + "Voordat we de code aanpassen controleren we eerst of alles het doet. Hiervoor maken we zowel een P,V-diagram als een T,V-diagram tijdens de werking van de zuiger. Let op dat de eenheden van deze grafiek natuurlijk niet kunnen kloppen, omdat er niet in verrekend zit welke constanten jij hebt gekozen. " ] }, { @@ -244,7 +237,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -300,14 +293,14 @@ "source": [ "## De thermostaat\n", "\n", - "In de werkelijkheid is de temperatuur van de wand een mate van de amplitude van de trillingen van de deeltjes waaruit de wand bestaat. De wederzijdse overdracht van de energie van die trillingen naar de kinetische energie van de gasmoleculen bepaalt het thermische contact tussen de wanden van het volume en het gas. In ons model bestaat de wand echter helemaal niet uit deeltjes, maar hebben we een denkbeeldige lijn getrokken in de ruimte. We moeten daarom een wiskundige truc toepassen om temperatuur van het gas te beïnvloeden. \n", + "In de werkelijkheid is de temperatuur van de wand een mate van de amplitude van de trillingen van de deeltjes waaruit de wand bestaat. De wederzijdse overdracht van de energie van die trillingen naar de kinetische energie van de gasmoleculen bepaalt het thermische contact tussen de wanden van het volume en het gas. In ons model bestaat de wand echter helemaal niet uit deeltjes, maar hebben we een denkbeeldige lijn getrokken in de ruimte. We moeten daarom een wiskundige truc toepassen om de temperatuur van het gas te beïnvloeden. \n", "\n", - "Er zijn in de literatuur verschillende van dit soort trucs bedacht. Ze worden een 'thermostaat' genoemd en hebben allemaal hun voor- en nadelen. In ons geval houden we het simpel: Op het moment dat een gasmolecuul botst met de wand die een thermisch contact voorstelt, dan schalen we de snelheid van dit molecuul met (de wortel van) de verhouding tussen de veronderstelde temperatuur van de wand en de temperatuur die het gas op dat moment heeft. Voor het gemak houden we de zuiger links en rechts van het volume en maken we het thermische contact aan de onder- en bovenwand." + "Er zijn in de literatuur verschillende van dit soort trucs bedacht. Ze worden een 'thermostaat' genoemd en hebben allemaal hun voor- en nadelen. In ons geval houden we het simpel: Op het moment dat een gasmolecuul botst met de wand die een thermisch contact voorstelt, dan schalen we de snelheid van dit molecuul met (de wortel van) de verhouding tussen de veronderstelde temperatuur van de wand en de temperatuur die het gas op dat moment heeft. Voor het gemak houden we de linker en rechter wand van het volume als zuiger en maken we het thermische contact aan de onder- en bovenwand." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "df92f9a3", "metadata": {}, "outputs": [], @@ -329,29 +322,29 @@ "id": "dbcfd37d", "metadata": {}, "source": [ - "```{exercise}\n", - ":label: explain_thermostat\n", - "Leg bij elke regel na het eerste if-statement uit (in een enkele zin) waarom deze regel zo is gecodeerd.\n", + "```{exercise} uitleg thermostaat\n", + ":label: ex-thermostat-03\n", + "Leg bij elke regel na het eerste if-statement uit (in een enkele zin) waarom deze regel zo is gecodeerd. Je mag het hieronder invullen, maar dat kan ook als commentaar in de code.\n", "```\n", "\n", - "```{solution} explain_thermostat\n", + "```{solution} ex-thermostat-03\n", "Jouw antwoord hier...\n", "```\n", "\n", "Met deze nieuwe definitie van de functies, draaien we een simulatie waarin we zowel de temperatuur als de druk plotten als functie van het volume. Let op dat deze simulatie vanwege de tragere zuiger een veel groter aantal tijdstappen bevat. Daarom zal deze simulatie ook langer duren. Maak je geen zorgen als het een minuut duurt om de berekening te voltooien.\n", "\n", - "Om verdere belasting van de servers tot een minimum te beperken, berekent deze simulatie ook alvast de totale warmte $Q$ en de totale arbeid $W$ tijdens het proces. Deze worden opgeslagen in de arrays `heats` en `works`. We zullen de resultaten van deze simulatie voor een aantal vervolgstappen gebruiken. " + "Om verdere belasting van de processor tot een minimum te beperken, berekent deze simulatie ook alvast de totale warmte $Q$ en de totale arbeid $W$ tijdens het proces. Deze worden opgeslagen in de arrays `heats` en `works`. We zullen de resultaten van deze simulatie voor een aantal vervolgstappen gebruiken. " ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "id": "d4284b15", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -361,15 +354,12 @@ } ], "source": [ - "#VOORBEELDUITWERKING\n", - "\n", "particles = []\n", "volumes = np.zeros(5000, dtype=float)\n", "pressures = np.zeros(5000, dtype=float)\n", "temperatures = np.zeros(5000, dtype=float)\n", "heats = np.zeros(5000, dtype=float)\n", "works = np.zeros(5000, dtype=float)\n", - "# times = np.linspace(1, 100, 100)\n", "\n", "pressure = 0.0\n", "work = 0.0\n", @@ -407,33 +397,31 @@ "id": "c32dd78c", "metadata": {}, "source": [ - "```{exercise}\n", - "Maak een fit van het P,V-diagram uit de laatste simulatie. (Maak dus niet een nieuwe simulatie, maar gebruik de gegevens van de vorige) De fit-functie hiervoor is alvast gegeven.\n", + "```{exercise} fit P,V-diagram\n", + ":label: ex-thermostat-04\n", + "Maak een fit van het P,V-diagram uit de laatste simulatie. (Maak dus niet een nieuwe simulatie, maar gebruik de gegevens van de vorige) De fit-functie hiervoor is alvast gegeven. De correcte parameters die uit deze fit volgen zijn sterk afhankelijk van de constanten die je aan de start van dit werkblad gekozen hebt. Je zal dus actief moeten zoeken naar de juiste startwaarden voor de fit om een werkbaar antwoord te krijgen. Maak daarom weer gebruik van van de extra optie `p0=` in de argumenten van de functie `curve_fit`.\n", "```" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "id": "fba0bc81", "metadata": {}, - "outputs": [], - "source": [ - "def power_law(vol, a, n):\n", - " return a * vol**n \n", - "\n", - "# RUIMTE VOOR VERDERE UITWERKING" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "6a60c099", - "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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/r8dE+mMQorCS4CYAehKGT50K3v0tFkhP1/J7hBChlZmZySuvvOL4vkqVKowcOTJ8DQqCJ554goYNGxITE0ODBg10n7ds2TJuvPFGSpUqRXx8PDfccANnz54FYPv27Tz00ENcfvnllChRgmrVqvHiiy9y/vx5x/nbt2/HYrHk23755RfHMRcuXODll1+mWrVqxMbGUr9+fWbPnu3SjipVqri9Tp8+fRzH7N+/n+7du1O+fHlKlSrFNddcw/Tp012us3HjRtq3b09ycjLx8fE0b96cBQsWOH4+fvx4t/exWCwcPHjQcdyoUaOoXbs2JUqUoGbNmnz55Zcu93F3HXfLvaxbt4677rqLhIQESpUqRaNGjdi5cycAR48e5fHHH6dmzZqUKFGCyy67jCeeeILjx487zv/jjz/o1q0b6enplChRgtq1a/OefQbLvzIzM2nbti0pKSnEx8fTpEkTfvrpJ5djbDYbzz//vMv/5SuvvOKyKPb999+f7zHdcsst+R6T2WRYKgB6h4MSE+HoUePXt1i0c48c0bfquBAF0fnz54mOjg53MwxLTEwMdxNC4sEHH2T58uW6V5FftmwZt9xyC4MHD+aDDz6gWLFi/PHHH0RFaZ+l169fT25uLp988gnVq1dnzZo19OrVi9OnT/P222+7XGvevHnUrVvX8X1SUpLj30OHDmXChAmMHTuWWrVq8dNPP/Gf//yHpUuXOhZb/e2337A51dVYs2YNbdu2pXPnzo59PXr04J9//uHbb78lOTmZiRMncvfdd/P77787rnPHHXdQo0YNfv75Z0qUKMHIkSO544472LJlC+XLl6dLly753rDvv/9+zp0751gU9qOPPmLw4MGMHTuWRo0a8euvv9KrVy/Kli3LnXfe6TgvPj6eDRs2OL632F/s/7VlyxaaN2/OQw89xLBhw4iPj2ft2rWOIGjv3r3s3buXt99+mzp16rBjxw4effRR9u7dy7Rp0wBYsWIFqampTJgwgfT0dJYuXcojjzyC1Wqlb9++ACxatIi2bdvy+uuvU6ZMGcaNG8edd97J8uXLHc/LG2+8wUcffcQXX3xB3bp1+f3333nggQdISEjgiSeecLT5lltuYdy4cY7vY2Ji8v3emE4VMcePH1eAOn78eMDXWrDAnvbrfRs2TCmLRduc9zt/7+5nFotS06drW1qa68/T07X9OTlKjRihVN++2tecnIAflnDj7Nmz6u+//1Znz57VduTmKnXqVHi23Fzd7W7ZsqXq06eP6tOnj4qPj1dJSUlq6NChKtfpGkePHlXdu3dXZcqUUSVKlFC33HKL2rhx478PM1clJyerqVOnOo6vX7++Kl++vOP77OxsFR0drU6fPq2UUurYsWPqoYceUsnJySouLk61bt1arV692nH8iy++qOrXr6/Gjh2rqlSpoiwWi9u2jxs3TiUkJDi+37x5s7rrrrtUamqqKlWqlLr22mvV3LlzHT//4IMPVN26dR3fz5gxQwHqo48+cuy76aab1JAhQ9zer2PHjqpPnz6O7/v166cAtW7dOqWUUjk5OapkyZKOe7Zs2VL169fP8W/AZXN+DLNnz1a1atVSpUqVUu3atVN79+512wallFqwYIEC1Lx581TDhg1ViRIlVJMmTdT69es9nhNs9v8zPRo3bqyGDh1q6Ppvvvmmuvzyyx3fb9u2TQFq1apVHs+pUKGC+vDDD132ZWRkqHvvvdfjOf369VPVqlVz+f0vVaqU+vLLL12OS0xMVGPHjlVKKXXo0CEFqEWLFjl+fuLECQW4/P45O3jwoCpevLjLdZs0aaKeeuopl+MGDhyomjVr5vg+7++8O126dFH33Xef12PymjJlioqOjlYXLlzweEzv3r1V69atvV6nTp06atiwYY7vb7/9dvXggw+6HJP3/6Bnz56qffv2utua77XWiZH3bxmWCkCLFlo9mjyBtYN92GjIEK0eTaVKrj9PS4Pp07XN3c/sNWwyMmD7dliwACZO1L5u2wa//AIlS8KAAfDhh9rXkiXh6aeD8nCFszNnoHTp8Gxnzhhq6hdffEGxYsX49ddfee+993j33Xf59NNPHT+///77+f333/n2229ZtmwZSiluu+02Lly4gMVi4YYbbiArKwuAY8eOsW7dOs6ePcv69esBWLhwIY0aNaJkyZIAdO7cmYMHD/Ljjz+yYsUKrrnmGm666SaOOnVfbt68menTp5OZmcnq1at1PY5Tp05x2223MX/+fFatWsUtt9zCnXfe6eiOb9myJX///TeHDh1ytCs5OdnR9gsXLrBs2TJaeVjhtmXLlo5j3Z3/22+/ceHCBZo2bZrv3MzMTNLS0nj55ZfZt28f+5y6dc+cOcPbb7/NV199xaJFi9i5cydPPfWUz8c7ZMgQ3nnnHX7//XeKFSvGgw8+6PX4unXrUrp0aY/brbfe6vOegTp48CDLly8nNTWVpk2bUq5cOVq2bMnixYu9nnf8+HG3PWF33XUXqampNG/enG+//dblZzk5OfmGbEqUKOHxXufPn2fChAk8+OCDLr0hTZs25ZtvvuHo0aPk5uYyefJkzp075/g9SUpKcgwhnT59mosXL/LJJ5+QmppKw4YN3d7ryy+/pGTJknTq1Mlne3/99VcuXLjg2Hfq1CkqV65Meno67du3Z+3atY6f5ebm8v3333PFFVfQrl07UlNTady4MTNnznTbDjv7KtrFinkerPH0f+B875MnT7oc07RpU+bPn8/GjRsBbbhr8eLF+X7XsrKySE1NpWbNmjz22GMc8TYN2Cy6w6lCwsyeG6W03hNPvTL2nhe7ixe13p6JE7WvFy/q+5k7gwZ57y0aNMiUhyf+le/TxKlT+rrtgrGdOqW73S1btlS1a9d2+aT6zDPPqNq1ayullNq4caMC1JIlSxw/P3z4sCpRooSaMmWKUkqp999/39EjMnPmTNW4cWPVvn17R49ImzZt1HPPPaeU0npx4uPj1blz51zaUa1aNfXJJ58opbRegOLFi6uDBw96bbueT7F169ZVH3zwgVJK62VKSkpy9DI1aNBADR8+3NHLtHjxYlW8eHFHD1Nef/75p7JYLOrgwYPq6NGjKjo6Wr3yyiuqS5cuSimlXn31VdW0aVPH8c49N0opVblyZTVixIh8jwFQmzdvduwbNWqUKleunMfH5NxzY/f9998rwO2nWbvt27erTZs2edx2797t8Vxf9PbcLFu2TAEqMTFRff7552rlypWqf//+Kjo62tEbmNemTZtUfHy8GjNmjGPfoUOH1DvvvKN++eUX9euvv6pnnnlGWSwWNWvWLMcx3bp1U3Xq1FEbN25UNptNzZkzR5UoUUJFR0e7vc8333yjrFar2rNnj8v+Y8eOqZtvvlkBqlixYio+Pl799NNPLsfs2rVLNWzYUFksFmW1WlWFChXUypUrPT4PtWvXVo899pjLvsGDB6vy5cur33//XeXm5qrffvtNlStXTgGOnrylS5eqL774Qq1atUplZWWpO+64Q8XHx6tdu3YppZTat2+fAlTJkiXVu+++q1atWqWGDx+uLBaLysrKctuWQ4cOqcsuu8zxN+rOkiVLVLFixfI9bmdvvPGGKlu2rDpw4IBjn81mc/zfFCtWTFksFvX666+7nDdp0iQ1a9Ys9eeff6oZM2ao2rVrq0aNGqmLHt7kzOq5keDGBN6GjcziHPzMmaNUVJT39z+rVYaozFSQh6UeeOABl30zZ85UxYoVUxcvXlSzZs1y/NtZgwYNHN3Pf/zxh+NNf8CAAeqZZ55RI0aMUF26dFHnz59XJUuWVHPmzFFKKfXhhx+qqKgoVapUKZctKipKPf3000op7Y2yevXqPtueN7g5efKkevLJJ1WtWrVUQkKC47qDnCL5//znP6pPnz7q2LFjKjo6Wh0/flyVLVtWrVu3Tr322msuwUlezsHRrFmzVOPGjdWqVascwVHbtm1d3iD0BjclS5Z02ZeZmelxKE6pS8GNc/C3cuVKBagdO3Z4PC8Qt9xyi+P/qk6dOvl+rje4WbJkiQLU4MGDXfbXq1dPPfvss/mO3717t6pWrZp66KGHfF67e/fuqnnz5o7vDx48qNq3b6+ioqKU1WpVV1xxherdu7eKjY11e/7NN9+s7rjjjnz7+/btq6677jo1b948tXr1avXSSy+phIQE9eeffyqltN+Lu+66S916661q8eLFasWKFeqxxx5TlSpVcju8uHTpUgWo33//3WX/mTNn1AMPPKCKFSumrFarqlixonr66acVoPbv3++2zefPn1fVqlVzDPPt2bNHAapbt24ux915552qa9eu+c4/fvy4uu6669Qtt9yizp8/7/Yef/31l0pOTlavvPKK258rpdTXX3/tMiRrN2nSJJWWlqYmTZqk/vzzT/Xll1+qxMRENX78eI/X2rJlS77g3ZlZwY0kFJsgIwPuuANGj4YtW6BaNejdG8zKkXS3qrgvNpvWHh8zVYW/LBYoVSrcrQiJevXqkZiYyMKFC1m4cCGvvfYa5cuX54033sg3VHPq1CkqVKjgMrxj5zwlupQfz91TTz3F3Llzefvtt6levTolSpSgU6dOLrNsWrVqxZgxY8jOzubqq692zNTJyspi4cKFtGzZ0uP1nYfgYmJiaNWqFVdddRU5OTmsWbOGpUuX6hpOyqt48eL57qPc1Y/wcp59GCXXS22JunXrsmPHDo8/b9GiBT/++KPbn3366aeO2Ux522tEhX/rUtSpU8dlf+3atR3Dh3Z79+6ldevWNG3alDFjxvi8duPGjZk7d67j+5SUFGbOnMm5c+c4cuQIFStW5Nlnn6Vq1ar5zt2xYwfz5s0jM8+CfFu2bOHDDz9kzZo1jsTl+vXrk52dzahRo/j444/5+eef+e677zh27Bjx8fEAjB49mrlz5/LFF1/w7LPPulzz008/pUGDBvmGrEqUKMHnn3/OJ598woEDB6hQoQJjxowhLi6OlJQUt4+5ePHiXH311WzevBmA5ORkihUr5vb5zTscd/LkSW655Rbi4uKYMWOG2//Xv//+m5tuuolHHnmEoUOHum3D5MmTefjhh5k6dSpt2rRx+dmgQYN49tln6dq1K6C9VuzYsYPhw4fTs2dPt9erWrUqycnJbN68mZtuusntMWaQ4MYE7oKPd97R1oYKdN0nT0UC9diyJbB7i8Jh+fLlLt//8ssv1KhRA6vVSu3atbl48SLLly93BChHjhxhw4YNjhdQi8VCixYtmDVrFmvXrqV58+aULFmSnJwcPvnkE6699lpHsHLNNdewf/9+ihUrRpUqVUx9HEuWLOH+++/nP//5D6AFUtu3b3c5pmXLlvTv35+pU6c6ciZatWrFvHnzWLJkCU8++aTXe7Rs2ZKxY8cSExPDa6+9RlRUFDfccANvvfUWOTk5NGvWzOO50dHRLjNzQu2HH35wyd3Iq0SJEh5/Vilv0p+fqlSpQsWKFV1m+4A2ldo5D2PPnj20bt2ahg0bMm7cOMdMKm9Wr17tCJ6cxcbGUqlSJS5cuMD06dO5++678x0zbtw4UlNTuf322132n/k3fy3v/a1WqyOQ9HRMVFRUvmDz1KlTTJkyheHDh3t8HMWLFyctLQ3QAoc77rjD4+O32Wz89ddf3HbbbYD2O9aoUSO3z2/lypUd3584cYJ27doRExPDt99+63Y6+dq1a7nxxhvp2bMnr732mtv7T5o0iQcffJDJkyfne+5Ae268PXfu7N69myNHjrj9vzSVz76dQiZYOTd5h4Xy5twYzamxn5N3uMvIlqeHXATAW1dpJGvZsqUqXbq0GjBggFq/fr2aOHGiKlWqlPr4448dx7Rv317VqVNHZWdnq9WrV6tbbrlFVa9e3aUbe+TIkcpqtarGjRu7nGe1Wl2GG3Jzc1Xz5s1V/fr11U8//aS2bdumlixZop577jn122+/KaX0D3HkHZb6z3/+oxo0aKBWrVqlVq9ere68804VFxfnMjSUm5urEhMTldVqVT/++KNSSqlVq1Ypq9WqihUrpk75yFdavXq1slgsKiYmRp08eVIppdSIESOU1WpV119/fb7n1vnebdu2VXfddZfavXu3OnTokNvHoNSlWVye2Ieljh075ti3atUqBaht27Z5bb/ZNm3apFatWqX++9//qiuuuEKtWrVKrVq1SuX8O+a9e/duVbNmTbV8+XLHOSNGjFDx8fFq6tSpatOmTWro0KEqNjbWkXe0e/duVb16dXXTTTep3bt3q3379jk2u/Hjx6uJEyeqdevWOYYUo6Ki1Oeff+445pdfflHTp09XW7ZsUYsWLVI33nijuvzyy12eN6W0vJDLLrtMPfPMM/ke3/nz51X16tVVixYt1PLly9XmzZvV22+/rSwWi/r++++VUlrOSlJSksrIyFCrV69WGzZsUE899ZQqXry4yyxApZT69NNPVWxsbL42KKXUhg0b1FdffaU2btyoli9frrp06aISExNd/k+HDRumfvrpJ7Vlyxa1YsUK1bVrVxUbG6vWrl3rOCYzM1MVL15cjRkzRm3atEl98MEHymq1quzsbKWU9h7XuHFjVa9ePbV582aX59c+/PzXX3+plJQUdd9997n83Hko9Ouvv1bFihVTo0aNcjnmn3/+cRzTs2dPValSJfXdd9+pbdu2qczMTJWcnOwYgj558qR66qmn1LJly9S2bdvUvHnz1DXXXKNq1KiRLy/PTnJu/GRmcOMr+LBYtNybKVPyH5eW5jsnR+9Uc8m5Cb6CHNz07t1bPfrooyo+Pl6VLVtWPffcc26ngickJKgSJUqodu3a5Uv+tL+5Or9BjBgxQgFq9uzZLseeOHFCPf7446pixYqqePHiKj09Xd17771q586dSin/g5tt27ap1q1bqxIlSqj09HT14Ycf5gswlNKCrmLFijmCE5vNpsqWLZsvOHHHfqxzEGd/7HlzRvLee9myZeqqq65SMTExjuCloAc37qa4O7fDPmV7wYIFLucNHz5cpaWlqZIlS6omTZo43niVupRk7W6zGz9+vKpdu7YqWbKkio+PV9ddd51LOQKllMrKylK1a9dWMTExKikpSXXv3j1fsrBSSv30008KUBs2bHD7GDdu3KgyMjJUamqqKlmypLrqqqvyTQ3/7bff1M0336wSExNVXFycuv7669UPP/yQ71pNmjRR99xzj9v7/P3336pBgwaqRIkSKj4+XrVv3z7f9P7+/furyy67TEVHR6ty5cqp2267zW3i8meffaaqV6+uYmNjVf369dXMmTMdP7P//nj7f3vxxRfd/rxy5cqO63j6v+/Zs6fjmBMnTqh+/fqpyy67TMXGxqqqVauqIUOGOILfM2fOqJtvvlmlpKSo4sWLq8qVK6tevXp5zDFSyrzgxqKUPwMeBdeJEydISEhwTI0LRFaWtkimvyyWS9O93Zk0SVuI0x+DBsGbb/rfNuHq3LlzbNu2jcsvv9xtF2+katWqFQ0aNCh0lXOFEIWTt9daI+/fUucmAIEuWKkUPPKIlvxrs2nB0qRJ2lebzb81o6xWCWyEEEIUbZJQHAAz8qGOHIF774UlS1wTktPStKRkq1ULdDyxWuF//4MdO8yfpSWEEEIURBLcBKBFC0hJgX8Lovrtm2/y79uzB7p08X2uzQbXXgt+zFAVRYC7KdlCCFHYybBUAKxWrdclGIxkQgU6PCb0K2IpakIIEVJmvcZKcBOghIRwt8Cc4THhnfXfpdedC8YJIYQwl/011v6a6y8ZlgqAzQajRoXv/haLtuCmzaYlIleooA2VBfg7IdwoVqwYJUuW5NChQxQvXlxX0TEhhBD65ebmcujQIUqWLOl1kU89JLgJQHY2HD4cmntZLK5DVfbvz54F54rYaWnmVEZ2x2bTHvO+fUUvkLJYLFSoUIFt27Z5LXEvhBDCf1FRUVx22WUuK7f7Q4KbAAQ718ViuTRrauBA19lUiYnaTKu8K8fv2aMt1+Ctfo4zvQGLuyUmghlIRaLo6Ghq1KghQ1NCCBEk0dHRpvSMSxG/AARaxM8be9BqD1LOn7+0MGeVKvDuu7B3r+fz09Nh2zbvPSt6AxZP61vlbaMQQggRLEbevyW4CYDNpgUaRlbrdmfQIC1nxvk66ekwcqQWNPizKjjAggXw79qB+egNWHw9Rnvvkq9Ayh9FeRhMCCGEK6lQHCJWK/Tqpe9YdxX7k5Jg+nStmvD27VowMnGi9nXbtkuBTadO/gVQe/a432+zacGSu7DWvq9//0vBhbd7KwW7dmnHmSkzUwuqWrfWlqBo3Vr7PjPT3PsIIYQofCTnJkDVquk7rkQJmDXrUhDQqpW22XsirNb8vSzeghA9PBUXNBKw6M0rMjP/yFOvktF8IiGEEEWTBDcB2r9f33HHjmnLIrzyyqV99vWkPA27+ApCfElJcb/fSMCit4aOWbV2fPUqWSxar1L79jJEJYQQwj0JbgJ09Kj+Y+fPvxQwHDrkfgZUv34wZIj2xh1ob0ilSu73GwlYWrTQcmr27HEfcNhzblq08L+dzoz0KnnKJxJCCFG0SXATQq++6v3nR4/Ciy/C++/DmDGB9Yakp3sOOIwELFarNnuqUyf3tXZAS3w2qxclHMNgQgghChdJKA5QYqL51zxyBDp21AoEJiUZP99i8R5w2AMW+7F5zwXX8zMytDyXvD1BaWnm57+EehhMCCFE4SPBTYDKlw/etQcMgHPnvB+TNzhJT9cXcBgNWDIyPM/oMpO9V8kbb71SQgghhAxLBchTXosZ9CQTK6VVMK5QwXgtmIwMLTFXby0ZdzO6zGa1Qrdu8NZbno/p2lWSiYUQQngmRfwCZFYhv0AMHeo6C6sg0/N86qm+LIQQonCRIn4hZLVCw4bhbkXhoWf6ezCKBgohhCg8ZFgqQNOmacX5wqlMGW35BjOXKHC39AEEfzkEmS0lhBAiUBLcBMBmg969w9uGqCh46qlL35uxUre7taySkrTFO0+eNPdeeclsKSGEEIGSnJsABHNVcH8ZXak7bw/NoUPQpYv+JR8sFnOng9tsUK6cNh3ek6QkOHBAcm6EEKIokZybEAnF0EhSEkyeDMnJrvs9vbHnXfjSG3eLU3brZmwtK6X03UsIIYQIFQluAhCKoZHz5+HJJ7WCfnYJCd6DCT0rdXtabdyfIMXMBN/sbO+9NqD9XBKKhRBCeCLBTQBatNACjWA6eVJbJsHZ8eP6zvXUsxToauNG7hWs60hCsRBCCE8kuAmA1Qq1aoW7FZ6lprrfH+hq4+6Y1YslCcVCCCECJcFNAGw2+Ptv4+dFR5vfFiPM7vVISTFvOYSmTX0nClut2nFCCCGEOxLcBCA723VqtF7nz5vfFnf273e/3+xej1GjzJu5tHSp77wfm007TgghhHBHgpsARHrex6FD7vfbF6fMu+imM73ByqBB0Lmz8bZ5Ijk3QgghAiVF/AIQ7LyP0qXh1Cn/z09Jcb/fatWK73XqpAU4zonF9oDHPv183z7YtAnGjHFNbE5JgdGjtWuYSXJuhBBCBEqK+AXAvsjjnj3mzjyyi4vzb9jLbsEC76t4u6tEnJ4OI0fmL8rnbjkGb707Ro93Pk8WzhRCCJGXkfdv6bkJgLceEDMEEtgkJvpO8s3IgPbt9QUhVqv3QMmZu6BJ71INVqtWSPCttzwf07WrBDZCCCE8k5ybAGVkaMsPVKwY7pa46tdPXwBgD1q6ddO+Bho0eCoOuGePtj8z0/v5Npu2CKg3kydLRWQhhBCeSXBjEm/JuaGWlARDhoT+vt6KA+pdFkJPDR4zKyILIYQofGRYKkD2nopIyVyyWLTk30B7YPzJmfEVmDgvC+FpiEtmSwkhhAhUWHtuhg8fTqNGjYiLiyM1NZUOHTqwYcMGn+dNnTqVWrVqERsbS7169fjhhx9C0Nr8grGMQaASEwO/RmYmVK7suqBm5crw8svakFFWlvveFzMCE5ktJYQQIlBhDW4WLlxInz59+OWXX5g7dy4XLlzg5ptv5vTp0x7PWbp0Kd26deOhhx5i1apVdOjQgQ4dOrBmzZoQtlwTjGUMAnX0qL7cFjubTQtW7EHL1KnQsWP+9az27IEXX7wU7FSpkv8eZgQmLVpoU+C9iYszryKyEEKIwieipoIfOnSI1NRUFi5cyA033OD2mC5dunD69Gm+++47x77rr7+eBg0a8PHHH/u8h5lTwSdN0t7sI43Fos1O8jVd2t2spqgoyM3Vdw/QkqntM6B8TY3X067z56FECe9tiIqCs2fDv4yFEEKI0DHy/h1RCcXH/13uOtHL2MqyZcto06aNy7527dqxbNkyt8fn5ORw4sQJl80snhamDDfn3BZPPM1q0hPY2O8BrgnC9qnxkD/B2v79yJHeA67Ro323ITdXO04IIYRwJ2KCm9zcXPr370+zZs248sorPR63f/9+ypUr57KvXLly7PewkNLw4cNJSEhwbOnp6aa2O5J5ym0xK1fIXRBlnxpfqZLrsWlprr08nmzZou/eeo8TQghR9ETMbKk+ffqwZs0aFi9ebOp1Bw8ezMCBAx3fnzhxwrQA5+BBUy4TNJ5yW8zOFcobRBkpDphXtWr67qn3OCGEEEVPRAQ3ffv25bvvvmPRokWkpaV5PbZ8+fIcOHDAZd+BAwcoX7682+NjYmKIiYkxra3OInnGTlKS56Rbs6dRu3sejFQ0dpanU86j//7X+LWFEEIUDWEdllJK0bdvX2bMmMHPP//M5Zdf7vOcJk2aMH/+fJd9c+fOpUmTJsFqpkf21bUj0YULWiVfd9O2zQ7KPK0+bpR9uEyP5cvNuacQQojCJ6zBTZ8+fZgwYQITJ04kLi6O/fv3s3//fs6ePes4pkePHgwePNjxfb9+/Zg9ezbvvPMO69ev56WXXuL333+nb9++IW+/cwJtpDlxAu67z/20bXtQZlZV5SefNGc5hOxs/YGSFPETQgjhSViDm48++ojjx4/TqlUrKlSo4Ni++eYbxzE7d+5kn9M7WdOmTZk4cSJjxoyhfv36TJs2jZkzZ3pNQg6mjAytNkwkL+SYd10ne1DmLaE4KUn/9fMmFeetnaM38DESsETykKAQQojwiqg6N6FgZp0bZ1Onwt13m3Y50+WtMZOZqRXr82TqVEhOhunT4cMPfV9/4kRt8c1AVgTPytJ6mnyJjYVTpyI7oBRCCGGuAlvnpiDr3BkGDYrcN1znadu+clssFhgwQDuuTBl9169QIfAVwVu0yD+F3J2cHFkVXAghhGcS3JgkMxPefjvy33T37dO3wOXu3dCmDbz6qvfrWSyQng5Nmwa+IrjVCjff7PMhoJQU8RNCCOGZBDcmiMQFND2pUMH8ZNyRI2HpUv0rgntTqpS+e0oRPyGEEJ5IcGOCSFxAMy97D0uLFuYm4z71lJZLY8aK4CBF/IQQQgROghsTRPq05LzrOpk5Ffzzz2H+fP3rbPkKrHr39p23ZLVqxwkhhBDuSHBjAiM9IWbVlvEmOdn1+7zrOumZCq7XkSNabs7992vTxz09PueeI2+io8FptQy3Bg6UFcGFEEJ4FhHLLxR0LVpASoq+AnTBzstJT4fNm7UcGKPrOgViz55Lj81icX2celcEt3vzTe3ru++6JiBbrVpgY/+5EEII4Y7UuTHJtGnadPBwmzpVm3btjc2mVS02O0/IYoHERK0OzZ49l/anp2uBja86N3nb+PPP8NVXcPKkFqD17Ss9NkIIUVQZef+WnhuTdOoEV18Nq1aFtx0DBkBUlPdAIlgJ0Eppw1Tz5mm9LP72HLkrBPj771pAZiRAEkIIUTRJcGOie+81P7iJj9fWidJr924t0HLOsckr2AnQBw9q1Yrt7Msx6Al27IUA8/Yn2gsBentcoWSzaUFiKIf+hBBC6CMJxSaqV8/c66WkGAts7JSCRx+Fr78OzargeTlfPzNT63Fp3Rruucf9Qp523uoF6S0EGApGHpMQQojQk+DGREeOmHu9xo39P/fQoUurgqemwssvXwoK7AnQweA8I8rocgx6KifrKQQYTIEuMSGEECL4JLgx0aZN5l5v/nxzrnP0KLz4IpQrp735Wq3aEFowdO2qfZ0/H3r1MtYLY1YhwGApKD1LQghR1ElwYxKbDd56y9xrnj1r7vWOHNFWAs/MhLJl9Z0zeHD+ujnefP45VK6s1b45etTzce56YfQOlwV7WM2TgtCzJIQQQhKKTfPKK9Do1M8cJZE/aBDu5njVq5f+YoKjRhnL+zE6NOfcC2OvnOxcM8eZxaL93FchwGCJ9J4lIYQQGum5MYHNBrvemMg82vANXSjFqXA3yaujR/UHIf4kNBvh3Atjr5wM+YMvo4UAgyHSe5aEEEJoJLgxQXY2zDzXjr1UpCYbeZ8nwt2kiOdpOYaMDG26d6VKrvvzLiERDr7W5NK7xIQQQojgkuDGBPv2wVGSuJevsRHFg4yjK5PC3ayI5asXJiMDtm+HBQtg4kTt67Zt4a9vE+k9S0IIITQS3JjAPgyxiJa8ylAAPuG/XM7WMLYqcunphbFaoVUrrRhgq1aREzBEcs+SEEIIjawtZQKbTQtwDh0CKxdZQGtasJjlXEdzFnOR4oavmZAAx4+b0ryIkZQE33wTWcGKv6RCsRBChJaR92/puTGB1QqjR2v/tlGMe/mao5SlMb86enKMuv56ExsYZhaLto0ZAzfdpC8IsC/ZMGmS+yrL4RapPUtCCCEkuDFNp05Qvbr2711cxkN8BsAzvMltfG/4er/8YmbrQmfQIG2IxpnRIRtZ3kAIIUQgJLgxUZMml/49k//wAX0B+IruXMYOQ9c6fhxKljSzdaFx/fX5k4E3b4bERH29MAVleYNI71kSQoiiTHJuTGKzQfnycPjwpX3R5JBNC67jN5ZzHS3I5gLRuq8ZEwM5OaY1MejsRfa2bbs0TJOZqS1Z4ByspKVps47y9uTYbFoPjbcqwCkp2s+j9T+NpjPymIQQQphDcm7CIDvbNbABOE8MdzPFkX/zFoMMXbMgBTZwafmBrCxtGzBAW+7BrIUzQUvarlQpfD04BaVnSQghijIJbkziqeT+DqrQgy8B6Mf7dGRaCFtlHiMJs3ffreXJjBzp/ueBLpx5+HB4AglZOFMIIQoGCW5M4q3k/vfcwRs8DcDnPEh1TF4+PIjuvVfLmzlzBt5+W9853hbMtAtk4Uy7UAcSsnCmEEIUDBLcmMRemt+TIbzGIloQz0mm0plYTF7yO0hmz9Z6SoI11dndwpl6FvUMRyAhC2cKIUTBIMGNSaxW6NrV889tFKMbkzhICg34g9H0BiI/l/vIEejcGcqUgaeeMv/6nhbO1MvMQMJmg/nz4fnntW3+fNeeIVk4UwghCgaZLWUSmw3i4uCsjw6ZG5nPHG7GSi69GcVH9DatDQVNWpo2bTxvr9C0adClC+Tm+r7GvHna+YFWCs7MhEceyb9aelKSVnwwI+PSbK49e9zn3bibLSaEEMIcMlsqDH7+2XdgA/AzN/Es/wPgPfrRjMVBblnk6tXLfRCQnKwvsImPh549Ay/2l5mpzerKG9iAtq9jR+0YWThTCCEKBgluTPLVV/qPfZunmEwXinORaXSiInuC17AQ0ZMnk1eNGu736x1qOnFC60VxZnRKtn0GlC/9+mnHysKZQggR+SS4McnJk0aOtvAQn/En9SjPAabTkWhci9qkp5vavKBLS9OWXjAS5HjKTUlN9b8dRqdk66mtA9ox9uTljIz8VZi3bZPARgghIoUENyZp0cLY8WcoxX+YwVHKcj3L+ZC+OCcYZ2RA6dLmtjFY+vTR3tzffFNf0rHFogVvRp8zvYzMpDKSkOx8rCycKYQQkUuCG5P07Wt8aGYr1ejGJHKx0ItPeYQxjp+NGwenTpncyCBp0kR7c7fZtLWWfFHKe27Kd9+Z0y49gYuRmU3Ox8raUkIIEbkkuDGJ1QqlShk/bw7teI7XAfiAxx0JxidOmNm64Dp0SHtz1zvEA55XPc/M9FzZ2Cg9gYuv+kR2iYmXeppk1XIhhIhsMhXcJFlZ2pucfxRTuJvOTOMQyTTiN3ZQxbS2hUJampbIayQwmTJFq6Fjp2fhTD2MTsm2z5byZfp07WunTvmngtt77SSpWAghgsPI+7cENyYZMCCwHoeSnGYRN9CQlayhLk1ZyknMa1+wWSzua794k5KiDR3ZAxB/AsS89/U3yPBVW8di0WZIKZV/hpbzMVLnRgghgkPq3ISYzQYTJgR2jTOUoj2z2EsFrmQtk+hGFAUnkUMp7c09ysBv1KFDrkm/RqsN33GHeVOyfdXWUUrrUfIU2NiPkbWlhBAi/IqFuwGFQXa2tv5SoPaQRntmsYgbuJ0feJOneYp3Ar9wiChlvPfGOaAxumzB8uVawLF0aeAVis1cxkHWlhJCiPCS4MYEZr6Z/U4jevIFU+jCk7zLOmrzGQ+bd4MI4xzQ2JN7PS1vkNehQ1pg06qVue2IpGsJIYQwToalTBBI0Tl3pnI3LzAMgI94jJZkmXuDCJGW5lrrxr68gZHenz17zJmSffiw76n8aWnaMJin44Jdv0cIIYQ+EtxEqFd4nkl0pTgXmU5HarAx3E0y3UMPBZ5427+/OWtLde7sO6jq1g3ef1/7t6wtJYQQkUvXbKk///zT8IXr1KlDsWKRN+oVjNlSkyZpb65mi+UsC2jN9SxnC1VpwjIOYXI3URh16gRTp1763oyp4EZnS9lsWs/b0aO+j61UCXbsgFmztLWmnNuZnq4FNjINXAghgsP0qeBRUVFYLBb0zhqPiopi48aNVK1aVV+LQygYwU1gNW68S+UAy2hCVbaxnOu4kZ85gx/VAiNQXBwcOxbYVHB3jEzJnj8f2rTRf+0FC7QcH3vRwkATmYUQQuhj5P1bd9fK8uXLSUlJ8XmcUoorr7xS72ULBaOJsEYcpBy38iNLaUpjfmUi95BBJrkU/HfSkye1AMGeEGxWYrbzlGxfycZZWcaubW+jfW0pIYQQkUdXcNOyZUuqV69OmTJldF30hhtuoESJEoG0q0CxJ8LqqXLrj43U5C6+ZT430Z5v+YDH6cMowOBiVhEokKngRq5tFnsbpedGCCEil66E4gULFugObAB++OEHKhSx+bDt2wd3Fe+lNONeviYXC735iKd5M3g3CyHnX5OmTY0VATRybU+M9L5UqqQFMYVpbSlZAFQIURjJbCmTvPZa8FfxzqQjA3kXgDd4lm5MDO4NvShZMvDkWefFKM+f15J0vVUJduYrCNI7JbtVK0hK0nfPe+7Rkok7dcqf9Lxnj7ZfT4ATKQFFYQrShBDChTLJzJkz1RdffGHW5YLm+PHjClDHjx837ZoXLypVurS9Pm/wt3fprxSoHIqr1swP2X2dt7ffVmrChMCuUbKkdo0uXZSKijK3fYMG6f//mz5d3zXT0pSqVMn7Menp2u+Dt3ulpeW/7vTpgf8eGjF9ulIWS/72WyzaFur2CCGEL0bev01bOLNWrVps2rQJW4T3awdjtpTRGTeBspDLN3ShM9M4SWlas4AVXBu6BvwrLk5LCo5E6enGFrB8+WV48UVz7m2fUZVXZmZkrCjua8q9LAAqhIhEYVk4c/369REf2ASL0Rk3gVJE0Z2vmM+NxHGKH7mVmqwPbSOI3MAGtNlSWVn6h39q1DDv3u4W17TZtGE3dx8l7Pv69w/NEFV2tvdaQrIAqBCioJOcGxPozRMxUw6xdGAmv3EtKRxmLm1JZ2foGxLB7r5bfz7Jpk3m3ffQofz7Iimg0DuLTBYAFUIUVIZLCC9atMjrz2+44Qa/G1NQ6U1INdsp4riVH1lMc2qxgTncTAuyOYzvekRFQd6qw/akX+fhH5tNSwbXMyRVurS+pHF35aAiKaDQO5GxiE14FEIUIoaDm1ZukgksTgvtFMWhqXLlwnfvIyTTlrksoRm12MAP3MaN/Mwp4sLXqAillJZP0r+/NnXf3TIK3vhaWNOuUqX8+yIpoPBVdNKecyMLgAohCirDw1LHjh1z2Q4ePMjs2bNp1KgRc+bMCUYbI567N7NQ2k06NzOHQyTTiN+ZSQdiOBfeRkUo+/DPa6+5n9LtzcmTkJzs/RhPU9DtAUUkrChuLzppv2/edoAsACqEKNgMBzcJCQkuW3JyMm3btuWNN97g6aefDkYbI579jSucNlCLW/mRk5TmJn7mG7pQnPPhbVQEe+89/5bKuO8+7wGKp6Ag0gKKjAxteC5vYJ6WFrpZW0IIESymJRSXK1eODRs2mHW5AsX+xqV32CJYVnAtd/EtZ4mlPd/yNfdi5WJ4GxWh9KwC7k779v4HBZEWUGRkwPbt2tT1iRO1r9u2SWAjhCj4DOfc/Pnnny7fK6XYt28f//vf/2jQoIFZ7Spw7G9cRnI4giGL1vyHGcyiPZ2Zxnmi6cGXhWKhTbPEx8OJE8bPS07WeulmzfI/kM3I0AIkWZdKCCGCx3ARv6ioKCwWC3lPu/766/n888+pVauWqQ00WzCK+DmzL6j44IPap+BwuZNvmU5HinORz3mAh/kUVcRm/lss/g09eTJlihaEBFqI7/x5GD0atmyBatWgd2+IjjavnXplZuYPxtPStF5I6b0RQkQaQ+/fRssfb9++3WXbuXOnOnv2rNHLKKWUWrhwobrjjjtUhQoVFKBmzJjh9fgFCxYoIN+2b98+3fcMxvILeeXkKGW1hn5JhLxbR6aqi2jrGozmUQW5ply3cWOl4uLC//i8bV265F/mIJBt0CBtWQVf1/S1/MKgQfl/N6xWY8tFmEGWXxBCFDRG3r8Nf5SvXLmyy5aenk5sbKzRywBw+vRp6tevz6hRowydt2HDBvbt2+fYUlNT/bp/sIweHRmrK0+n079DUhYe42NGMAAtHgzM8uXazKGSJQNvY7AsWQIbN/qe3eRLfDxMnQpvvum7EB94L8T39NPw1lv5fzdsNm2/2fn4nhbojKRqyUIIEQyGc248+f333zlz5oyhIn633nort956q+F7paamUqZMGV3H5uTkkJOT4/j+hD/JFgZt2RL0W+g2kXuJIYfPeYj+vMd5onmGN4DAs5/PnAm8fcGye7cWZB4+bOy8MmW0pRgSEuDaa7U1w+ylndwtq+COu+POn4d33/V+3rvvwquvmjNE5W3IKTFRf7Vkd2tkCSFEpDMtCaN79+60bt3arMt51aBBAypUqEDbtm1ZsmSJ12OHDx/uMnU9PT096O07fTrotzBkHA/yKB8B8DRv8RaDMKMHJ9INGaLvuKFDtZ6K5GT45x/47TeYNw/+9z8tuLEv2+BuWQV33B2npzfPZtOOC5R9gc68AYy9QvOsWfquI8svCCEKKtOCm/nz57N161azLudWhQoV+Pjjj5k+fTrTp08nPT2dVq1asXLlSo/nDB48mOPHjzu2Xbt2BbWNNhtEYi3DT3iU3mjDf0/xjmlDVJHMqcPOq927tRoznnp5du/WgoLt2/Vdz93yC3p78wLt9dMz5DR+vL5ryfILQoiCyrRhqYoVK5p1KY9q1qxJzZo1Hd83bdqULVu2MGLECL766iu358TExBATExP0ttllZ+sfvgi1j+jNRYoxhv/Sn/cozgUe54MiN4vKmdWq781eKa0WjB7uKlZXq6bvXL3HeaJngc5//vF+DVl+QQhR0AX0rnbu3DlOnDjhsoXaddddx+bNm0N+X08ivSt/LI/wIJ+Ri4U+jOYjHsNCGJY1jxBGkmYPHfJ/+YXevX3XsomK0hZhdU7+NSrQ3z9ZfkEIURgYDm7OnDlD3759SU1NpVSpUpQtW9ZlC7XVq1dTIYL6zyOoKR6N40HuZzw2ovgvYxhLL6KQqTF6+Lv8QnQ0DBzo/dq5udCjB7RufSnPx6hAf/9k+QUhRGFgOLgZNGgQP//8Mx999BExMTF8+umnDBs2jIoVK/Lll18autapU6dYvXo1q1evBmDbtm2sXr2anTt3Alq+TI8ePRzHjxw5klmzZrF582bWrFlD//79+fnnn+nTp4/RhxE0vhZIjBRf0YPufIWNKB7icz7nQVmqQYeyZeGbb/L34KSn+w4K3nwTBg3S1yNiT/41GuAE8vs3YoQsvyCEKCSMFtFJT09XCxYsUEopFRcXpzZt2qSUUurLL79Ut956q6FreSrK17NnT6WUUj179lQtW7Z0HP/GG2+oatWqqdjYWJWYmKhatWqlfv75Z0P3DEURP08F0iJx68w36gJaVblpZKhozoW9TZG8JSYqVamS676UFKWmTtX/u1Ghgr57WSy+iwJ6+/0z+js4dKjxewkhRKgYef/G6MVLlSqlduzYoZRSqlKlSmr58uVKKaW2bt2qSpUqZfRyIReK4EYppdq3D/8bsd6tPTPUOaKVAvUTbVVJToW9TQVp01vVd/p0/67/72cJQ6ZP969Cc1qaVCcWQkSmoFYorlq1Ktv+XTSpVq1aTJkyBYD/+7//011Yr7A7fx6++y7crdBvFh24ne85RSluZi5zaUsZjnk955574JZbQtTACKeU9tVbVV+bDR55xL/r+5Mk7Lzi94QJ+is1+zscJoQQkcRwcPPAAw/wxx9/APDss88yatQoYmNjGTBgAIMGDTK9gQVRpCy/YMR82tCGeRylLE1ZRhatKMd+j8dPnAizZ4ewgRFOKe9LL2RlwZEj/l070CThqCh4/HHt375ycfQEakIIEekM17kZMGCA499t2rRh/fr1rFixgurVq3PVVVeZ2riCKpKWXzBiOdfTkoXM4Wbq8yfZtKAN89hJ5XA3rcDw1MuSlWX8WoHUm3G3/EJSkvbVV5DlHKjJ8gtCiIIo4CJ+9gU0xSWBFmILpzXUozmLmUtbarCZJTSjLXNZT+1wN61AMKsUgJ56MzabFoDs26fdt0UL7Vj78gv2Xhi7o0e1rzfcAIsW+W5DpNdsEkIIT3QNS73//vucO3dO90U//vhjTp486XejCrrevbWhgIJqK9VoQTZrqUMae1hMc5qwNNzNimgWi+cCfmC8B8RXvZnMTK0WTuvWWv6TvTbOtGnel19QSl9gAwWjZpMQQrhjUcrdy6Arq9XK/v37SXG3aI4b8fHxrF69mqpVqwbcQLOdOHGChIQEjh8/Tnx8fNDuc+edBSup2J1EjvA9t3M9yzlLLN2YxCw6hLtZEcli8R6M2GxQrpz3IaH4eC1fq1KlS70w7njqmbFY3Ac1RtmHw7ZtM6dKsaceJiGEMMLI+7euYSmlFDfddBPFiukbxTp79qyu4wqzJ58s+MHNUZK4iflMpit38h3T6UhfPuRjHgt308IqPh7yrjSSmOj9HKsVxoyBjh09H/Pkk757/PQsjBkIs5dfcJf7k5YG772nr1igBEZCCH/o6rkZNmyY4Qv369cvIqeGh6rnxmbThgm8LWJYUFi5yGh68whjAXiN5xjKq0CEl2EOIXtQ4KtKcWYmPPGE6+Kq7hJ9PQUAWVnaEFSwpKdrgY0ZVYq99TCBvucqkMBICFG4GHr/Dm7JncgTqiJ+Sik1aFD4C8yZt+Wqobzs2DGOnqoY5yOgXZGz6akoPGWKUsnJ+q7lrjDgxInBa/9zz5lXofjiRe9FBH09V56qfOstmCiEKHyCWsRP6JOZCW+/He5WmMnCqzzPQ3zKRazczxf8H3dSmqKbOJ6XUt5r3Tz9NNx9Nxw+rO9akL/ejJEkX6PrS40ZA7NmGTvHk+xs772W3p4rPUNvUodHCOGNBDdB4O3F2ZuCMMPqcx7iLr7lNCW5hZ/IpgVp7Ap3syKKuynU06bBW28Zu467AMDXwpj2WVtTpmiJyUYcPmxedWK908jdHRdIYBQom00b+ps0SfsqAZQQBVMBeDsteHy9OHuSm2t+W4LhR26jFVnspxwN+INfuY5r+S3czYoYeXtXbDatPIC/nAMAq1XLOYH8AY5zMnDnzloxyREjoG9fuP9+9+e4Y0aviN4eJnfHBRIYBcLT9HpZikKIgkeCmyAoCsXPfqcRjVnOn9SjAvtZxA10ZFq4mxV2iYn5a91kZ8OhQ/5fM28AkJGh9QTl7Zlxro2TmakVkxwwAD78EMaP1xKX4+K838usXpEWLS4lSnuSlOS+LlAggZG/MjO1mWx5P5Ts3q3tlwBHiILF7+Dm/PnzbNiwgYsXL5rZnkKhqBQ/20llmrOY77mNEpxjGp0ZzOuAwfG4QqRt2/xTlf0Ndr0VBszIcO2ZGTECNm++FNh06pT/jfro0fxT2D0JZ4Cud+jNn2Up3NGzqOkjj8gQlRAFieHg5syZMzz00EOULFmSunXrsnPnTgAef/xx/ve//5newIKoRQvQWe+wwDtJPO2ZxUj6AfA6QxjP/USTE+aWhcc332hDQs8/D/Pna2+I/gS7vurN5O2ZGTBA+95XhWK9Ag3Qs7N9r2F15Ij7HiK9Q29m1bvRs6jpkSP+rQ8mhAgPw8HN4MGD+eOPP8jKyiI2Ntaxv02bNnzzzTemNq6gslrh3nvD3YrQsVGMAYzkMUZzESs9+ZJ5tCGZAMZiCrBp0+DVV6FNG60q8eHDxoPdSpU814Hx1DOzZ48WWAVSW8msXpFA82bsQ28VK7ru9/a8+Etv0CLBjRAFh+HgZubMmXz44Yc0b94ci9PHqrp167KloC6HHQTt24e7BaH3MY9xO99znHhasJjfaER9Voe7WWF15IgWcPTsac71gl2hGMzpFTErb8bodHZ/rF8f/HsIIULLcHBz6NAhUlNT8+0/ffq0S7BT1NnzBoqaObSjCcvYRHWqsIOlNKULk027fkGYLu/O5Mna8gp67dnjflq2vzPx9EhONq9XJNC8GW+9U2ZNV4dLU7/1MLr4qRAifAy/VVx77bV8//33ju/tAc2nn35KkyZNzGtZAWfPGyiK8d466nAdv/Ijt1CSs0ymG//jGaIIPCOzoEyXz2v3bm1NKr08Faszq8ieO2Y+t4HkzYSyiF92tr6iihaLOQnMUkdHiBAxWv44OztblS5dWj366KMqNjZW9evXT7Vt21aVKlVK/f77736VVA6lUC6/oJRWJr5SpfAvDRCOLYqLajjPOHbM5mZVliNhb1e4tpgY/85bsODS75KR89wtX6DnHDOXNpg+Pf8yDOnp3u+xYIGx5yUQRpazCPR+7p6LtDRZSkIIvYK6/ELz5s35448/uHjxIvXq1WPOnDmkpqaybNkyGjZsaH70VQh4672xWLRt4EBjn+wLglysDOZ/dGEyZyhBO+bwK9dRlzXhblpY5Pg5gWzfvku9GXpYrdowWN5kXL3MXNrA25R1T0JZxM/IrLBA7heqYTYhxL+MRE3nz59XDzzwgNq6davfkVe4hbLnxtPif3k/xQ4a5H2RwcKwXcVqtZUqSoE6SSnViSlhb1NB2ebN09+bYd+GDQvsd8qMXhH734DR3opQ9txcvKhUSkpw7xfoIqJCCE3Qem6KFy/O9OnTgxNlFTJ61pdKSdHWG3r77eAliUaKP6lPI35jPjdSmtNM5W5G0o/inA930wqEPXuMHf/ii4H9TpnRK+Jvb0Uoi/hZrVqdIF+ioqBpU//uEc61soQoqgwPS3Xo0IGZM2cGoSmFi55ZLYcOaV313gKgwuQIybTjJ4bzLAD9eJ+FtCzUC28mJWnDPIE4eBAOHDClOboFWsTPV1KwUp6Hv0JdxM/XMhGgJVv7G3yEa60sIYqyYkZPqFGjBi+//DJLliyhYcOGlCpVyuXnTzzxhGmNK8j0vlDpmalRmNgoxnMMZylN+ZIeNOEXVnE19/I1c2gX7uYFRdmygZ2fmqpN0Q4Fi0XrNQm0V0RPcG/vrXA3xdpexO+JJ1x7rSpV0gIfM4v4ffyxvuOysuCmm4xfPxxrZQlR1BkObj777DPKlCnDihUrWLFihcvPLBaLBDf/khcq777jTq5hJdPoRENW8iO38jIv8ArPk4tJH8kjwJEj2hBRUpLvEv+eZGeHNuHUjF4RvcNovo4LdikFmw2cKlsEhX2Ybc8e9z1ZZgWUQohLDA9Lbdu2zeO2devWYLSxQNKTN1BU1p/yZDuX04wlfMSjRKF4iWH8yK2FctmGQIYeP/jAvHZ4Ex9vXhE/vaugezouVLOLsrLg7Fl9x/pbxC/Uw2xCiABWBRfe6XlBGz3aewBUFOQQS28+ojtfcpqS3Mxc/qA+rVgQ7qaZ6uhRGDYMEhP9OzcUzHxz1Ru4uzsulEX89FYnLl48sArFoVwrSwjhx7DUgw8+6PXnn3/+ud+NKWz05A1ERUHHjuFrY6SYQHdWcg1T6Uwd1jGfm3id5xjGi1ykeLibZ4rffgtdoAJa0Gykx+jYMa1XJJA3W5tNG0b7+299x1eqlH+fkdlFoVoSwazAryh/kBEilAz33Bw7dsxlO3jwID///DOZmZn8888/QWhiwWfWC1phf2H8m7o04jfG0IsoFEN5jYW0pDLbw900U3z3Xeju9fzzoS/il5kJlStD69bw+uu+j/c0nTuUs4v0BkfnzgU2VVuK+AkRWoZ7bmbMmJFvX25uLo899hjVqlUzpVGFhf0FLe+nZ/sL2pQpMGCA/uuVLw9Vq8LSpYV3+vgZSvFfxjCPNozhEZqyjNU0oBdjmUbncDfPb0Z7UZzFxcHJk8bOiYryLxj21Sti75nZt09Lmm/RQuvVyMw03gPpKc/EzNlFntprZySJ199gytcwm8WiBZTt20vejRCmMaty4Pr161X58uXNulzQhKpCsZ6qpHoroxbVrTLb1BKaOHaM4WFVgtNhb1eot7i40N9z4sT8v9Oeqg1PnapUUpLxe3iqUmz/2/FU3VtvRV891ZGNVH6eN8+/14JQVlwWojAL6tpSnmzZsoWLFy+adbkCT0/egN4ZJUXVDqrQkoW8xnPkYqEXn/I713I1K8PdNN3MKOJntNfGDHl7RbwNq3Tu7N8092AW8dM7DBSKwnlSxE+I0DM8LDVw4ECX75VS7Nu3j++//56ePXua1rCCTl6ozHGR4gzlNeZzExO4jzqsYzmNeYmXeINnsBn/FQ4ppSAhIdyt0M9dzRU9s5f8EawifkaGgTZt0t/egwf1H+tMivgVPb6GQ0XwGX5nWLVqlcv3UVFRpKSk8M477/icSVWU6H2hSk7WPvUG8iZRFCzgRq7iTz7mUToxndcYyh18R3e+YgvVw908j+xTwP0VHw8nTpjXHj3y9oroqTbsr2AU8dM72yorC8aO1X/d1FTjbQEp4lfUZGZqwbXz72BamvmVtYUPwR8liyyhzrnxlTcwZYrvlcNlc95y1X18qf4hXilQpyip/stHCnIjoG3mb0lJSkVFheZeycnu82AmTgzePUeMcP/3M326+78Li0XbvK0qrre9Q4caa6u/OTfeHo/9MXl7PKLgCOT3VvgW1Jybs2fPcubMGcf3O3bsYOTIkcyZM8fEkKvg05s30Lmz1v2elhbS5hVgFibQnXr8xc+0phRn+JjH+J7bKU/hGws8ckRbtDEUPN0nmMMlwSjip7e927frO85u/35jxzvLyICnnso/NGG1avvlE33BF8rik0IHo5FT27Zt1UcffaSUUurYsWMqNTVVpaWlqdjYWDV69GjjoViIharnxs7djI309PwR/JQp4e8lKGibBZvqxwh1lhilQB0mUXXmm7C3qyBv7j5d+uqFDGRzN0Mo0NlFwWqvp14mva8D8om+cJNZccEX1J6blStX0uLfweFp06ZRvnx5duzYwZdffsn7779vcuhV8GVkaJ8QFyyAiRO1r9u2uX5Ss9kgT562W1FRWhKk9PJoFFG8R3+uYSUruIYkjjKFLkylE+UI4GN2EaYUPPKI66dLb72QgQhWET/n9prJ37Xg5BN90SCz4iKL4eDmzJkzxMXFATBnzhwyMjKIiori+uuvZ8eOHaY3sDCwWrUZId26aV/zdk3rTdjMzYVvv4URIy4FS/fdp68NJUoYbXXBsY46NGEZw3iBCxSjE9NZS13uZQLg5h2lAElO9m89qkAcOQJ33AGPP64NnZ4/73ltpEB07Rq8In6ehoEC4W6pCD2MLCchCi6ZFRdZDAc31atXZ+bMmezatYuffvqJm2++GYCDBw8SHx9vegOLAiORvFJaL0+LFlqwdP/9+s4LtNZKpLtANC8xjGv5nZVcTRJHmUB3/o87qUSQpvqEwL33hmfZjdmz4cMPtQraJUvC00+bf4/Jk933VthnF3l63BaL514fu8xMePtt83pDLBZo2tS/c+UTfdFgxu+tMI/h4OaFF17gqaeeokqVKjRu3JgmTZoAWi/O1VdfbXoDiwKjkbzzp7xWrbRCcd4kJcFNN/nVtALnT+rTmOU8x2vkEM0dfM9a6vIQn1IQe3GqVPGvQJ6ZbDZ46y1teQVfU7eN8NRboWdYyVsRP2/DQP5SSlv2xB/yib5gsNm08gCTJmlfjQbGgf7eCpP5k9Szb98+tXLlSmWz2Rz7li9frtatW+fP5UIq1AnFely8qFRiorHkRufy+NOnez92+nTtHgkJ4U9YDeVWm7VqGY0dO+bQRlVmW9jbpWezlwr48svwtyWYm7tlHuwGDVLKanU93mrV9ntjZEkFs9rq6+/bjOUkRPDoWapDL39/b4VvQV9+oXz58lx99dVERUVx4sQJZs6cSVxcHLVq1TI38ioirFbtk6YRRj/lWa36h7AKi3XUoRlLGMg7nCWWtsxjLXV5ircoxoVwN88rpbQet0cfDXdLgsvT77GnYaXcXG2/t1W0gzW842/PihnLSYjgMXPF9kB+b4XJjEZOnTt3Vh988IFSSqkzZ86oGjVqqOLFi6tixYqpadOmGQ/FQiwSe26U0j616V180PlTnp4FOu3HDxsW/k/q4dqqs1EtoKVjx2quUo1ZFvZ2FdXNW2+Fkd9pd4LRc2O1KpWTE9jf+PTpSlWq5Hpdf3sHhDkC/V0L1rWEe0HtuVm0aJFjKviMGTNQSvHPP//w/vvv8+qrr5ocehUdViuMGeP7OIvF9VNesErNFzabqUFrFnA/4zhMEvX5k6U0ZRS9SeCfcDevSPLUWxHo7CJfiZ3+sNn8z7lxFo7kcOGZmTPZZFZcZDEc3Bw/fpzEf+emzp49m44dO1KyZEluv/12NhlZhU64Vbq095/fdZdrjRy9XfBZWcFbH6jgsPAF91OL9YzjfqJQ9OYj1lGbu/kGCmDCcUH1zTf5az3Zkznnz9d3jVDXuQlkuMvMoQ9hHjNnssmsuMhiOLhJT09n2bJlnD59mtmzZzumgh87dozY2FjTG1hU2F/8Tp3yftysWTB16qXvZYaFcUdI5kHG0Zqf2cAVVGA/39CVH7iNy9ka7uYVCevWXfp3ZqY2K6x1a7jnHtDbARzqOjf+/q1JEb/IZeZMNpkVF2GMjnmNGjVKFStWTJUpU0ZdddVVjhlT77//vmrVqpXhMbRQi8ScG19jtXm3lJT8OTe+ZmLMmxf+PItI3KI5p17gJXWOaKVAnSVGvcQLqgSnw962SNqqVTP3eomJ2u+utwUlPW16chf8ua63LS3N/1wJKcsfucycySaz4oLPyPs3/tzgt99+U5mZmerkyZOOfd99951avHixP5cLqUgMbvxJgHR+IdSz4rA/082L0nYF69U8bnTs2EZl9R+mq8K62ngkbPPmGQvq7ZuvtZiMfljQsw0bpv/v+eJF7e9z4kTt64QJ+u7h71RzERgzV2yX1d+DK+jBjVJK5eTkqPXr16sLFy74e4mwiMTgZuJE4y+2eV8I9dRWeOCB8L+hRfaWqzoyVe0g3bHzJ9qqmqyLgLYVvm3oUOPnOP9O5w0i7J+IgzFbSm/g4a5eSnKyvnvMmxfgC4nwm5m1aaTOTfAENbg5ffq0evDBB5XValVWq1Vt2bJFKaVU37591fDhw423NsQiMbgJVs9N3hWH9X6CLOpbSU6pVxjiGKo6TzH1Jk+p0pwIe9sK0+ZPcGP/nR40yHPRNX8+LPja9AwZBToUJsFNeJi5Yrus/h5cQQ1unnjiCdWwYUOVnZ2tSpUq5QhuZs6cqRo0aGC8tSEWicGNr7HavJu/dW6CVbm1sG7V2KS+5Q7Hjj1UUPfylbJgC3vbCvqWnq7Uiy+ae037G4jZ9ZwSEnznSZgxFCbDUqEndW4KlqDWuZk5cyYffvghzZs3x+JUtKFu3bps2bLFhBTnosdbBdO8/K1zk519qf6H0GcL1bmL/+N2vmMz1ajIPibQnWU0oSlLwt28Aq1rV3j5ZXOvqZT2dexYbQVvs2rK9Ozpe9aVr79DPWQWTehJnZvCy3Bwc+jQIVJTU/PtP336tEuwI4zJyIBp0+DfEkIePfWUf3Vu9u3TXqC7dfO/jUXVD9zOlaxhMK9zktI05leW0JxvuFumjvuhdGmYOPFSMGImpbQ3mEceMe+avhamhcBrl0RF+b/quPCf1LkpvAwHN9deey3ff/+943t7QPPpp586VggX/mnf3vcL/uefu9bDMFJbwWbTiqR5Ex+v73q+lChhznUiRQ6x/I/B1GATY+iFjSjuZirrqM0bPC1Vjg04dcrc1cXdqVHDvDo3Y8f6rkETaK9Lbi7873+BXUMYV1Dq3AS6YnmRZHTMKzs7W5UuXVo9+uijKjY2VvXr10+1bdtWlSpVSv3+++9+jaOFUiTm3NjprUXjnHhopLZCKHNuBg9Wqk+f0N0v1Fs9/lBzaOPYcZBk1ZsPVTHOh71tsml5N2bWufGVUGw0b87dZq/9I0KnINS5cbcmWaVKRTM5Oag5N82bN+ePP/7g4sWL1KtXjzlz5pCamsqyZcto2LCh+dFXEZKVZfw4PaXm7Tk6ej8tly2r7zhvWrWCwtyR9xdXcTNzuI3vWUctUjjMKPryJ1dxJ99CIV3KIcrwK0ZoWSxaXtmYMdrbgFmmT/f+idn+dxjIPY8eLZz5GJHc62Dk9VPvtTz9DihlfPX3zEzo2DH/a/eePdp+WbbDM0MvVRcuXODBBx/EYrEwduxYfv31V/7++28mTJhAvXr1gtVG4YOnUvNWq2uOzqFD+q7Xvn3gbbJataTOws3Cj9zGVfxJb0ZxiGRqs55vaU82LWjG4nA30HS5ueFugXdKQa9e5g97ffihtjxElSrBfUMJ9nBdqOVdWiMUz6FRel8/Q81m85079sgjkRUsRhSj3ULx8fFq69atfnUp5bVw4UJ1xx13qAoVKihAzZgxw+c5CxYsUFdffbWKjo5W1apVU+PGjTN0z8I2LKWU+XVuJkwIfDrtl19q3a/x8eEfogjVFs8/6nWeVacp4dj5f9yu6vFH2NtWVLa4uNDUc5o6Vfubsg/3Tpigv1ift23EiFC+4uh35ow2zHzzzdrXM2d8n1NQar5Mn+79/0RvO82eCu7v+0FhFtQ6Nz169FDvvvuuXw3L64cfflBDhgxRmZmZSk9ws3XrVlWyZEk1cOBA9ffff6sPPvhAWa1WNXv2bN33jOTg5uJFpZKSvP8iJyW5/nEEo86Nvdpr3nFeI1ufPto1YmND86YWSVsF9qiP+K+6gFam1IZFfcl9qgpbw962orDdf3/w72G1KvXkk+Yv8zBhQrhefTxr3959W++6y/M5BaXmiz+vuZ6YvYaY3iKXQ4cG8gwULEENbl555RVVpkwZ1bFjR/X666+r9957z2Xzl57g5umnn1Z169Z12delSxfVrl07j+ecO3dOHT9+3LHt2rVL95MTDoMGef9FzlvC22jAYuQP2dcnGm9b795SNLA6G9Vk7nbsyKG4eo/HVSr7w962wrwlJmqBuZkJxaHaIm3xTE+BjX1r1Mj9eQVlsVAze0f0VsbWW6xRgpv8gppQ/Nlnn1GmTBlWrFjBmDFjGDFihGMbOXKkeeNlbixbtow2bdq47GvXrh3Lli3zeM7w4cNJSEhwbOnp6UFtYyBsNm2qtzd5p4JHam2FqlWlnsNmatCVb2jI7/zEzURzgSf4gC1U41WGUJaj4W5ioXT0qJaLoFS4W2JMqVJaoc1IcfYszJrl/ZjffnNfXiJSX5fy+ugjfcf5muxhs8GBA/qupXcqeKtW5h5X1BgObrZt2+Zx27o1uAXN9u/fT7ly5Vz2lStXjhMnTnD27Fm35wwePJjjx487tl27dgW1jYHIyoIjR7wfc+SI6x+akdoK2dn6rp+drf2x9uun79ru1KsHbmo9Fkkracgt/MSNzOdXGlGa0wzhdbZThZd5njIcC3cTC51jBfApPXvW3ORQd7OUjMxcGjRI33169cp/nWDWfDHL009rs+ACZU+aHjDA+3EWC6Sn6w9gW7XyXUAyKUmCG08CmtiplEJF+MejmJgY4uPjXbZI5c9UcPuSCp6KQzv/QRn5NBVoOXlfQVRRtIAbacxyOjCD1dQnnpM8z6tspwov8pIUAjTRhAnhboFxubkwerQ513I3S6lcOW3TO3Np0yZ99zp9Ov8UdiOvS3mFYur4tGnw1lv6j/cUQGRmQqdO+l4rlTI2FdxqhQcf9H7Mgw+aU6iyMPIruPnss8+48soriY2NJTY2liuvvJJPP/3U7LblU758eQ7k6fs7cOAA8fHxlChsJXF18rYulf17+x+UkU9TgXYXV6gABw8Gdo3CycIsOnANK8lgOn9SjwRO8BLD2MblPM/LxHM83I0s0CwWOHw43K3wz8aNgV/D0xvukSP5P3Ts2aMd6y7AqVFD/z3zvl74W/Ml0KnjegIjmw1699Z3PfDcO2Lv3Q7W53t/0hSEE6MJPc8//7wqVaqUevbZZ9WsWbPUrFmz1LPPPqtKly6tnn/+eT9ShDSgL6H4yiuvdNnXrVs3rwnFeUXybKlAktumT88/OyE93XUaY6iqGaekyCrkejcLNtWJKeov6jp2HqGseo5XVRzHw94+2UK7dejg/rXB/vc0ceKlyQGejjM6g8vTzKUzZ/Rfw11isNEp1oFOHXf3GpiWlv88o69LTz7p/n7+vL6lpclU8EAEdbZUcnKymugm3XvixIkqKSnJ0LVOnjypVq1apVatWqUA9e6776pVq1apHTt2KKWUevbZZ1X37t0dx9ungg8aNEitW7dOjRo1qshPBc97vq8XQL0vOHra4mnr3//SNeLiwv+GURA2CzZ1N5PVWmo7dh6ljBrG8yqRw2Fvn+mPtwDOZArF9uij7v9m9bxpKxXYBwp3Acqdd/o+z2pVKicn/2uRkanggU4dNxIY6Z3VZN/sH9byMnodb8+zO8GeLaU3YI4kQQ1uEhIS1MaNG/Pt37Bhg0pISDB0rQULFigg39azZ0+llFI9e/ZULVu2zHdOgwYNVHR0tKpatWqhKuKnlHkFpQK9fiDTwIcNu3S/OnWC/4ZQmLYoLqquTFR/U8ux8ySl1NsMVBXYE/b2FZQtLq5gBlB5i/gZ7c3w9w0X3E9R7tJF37l537CNTgUPZOq40cDInwDQ3X39DST11jIKZnBjJGCOJEENbvr27asGDBiQb/+TTz6pevfubfRyIVeUgxu9LwI5OYEVJ7N3vUrPjf+bBZvKYJpawdWOneeIVh/xX3U5W8Levkjf7r47/G3wZ3PuAdEzxJSS4nqOmT03OTn6A8S8gZHRmi+B1IgxGhj5M3Tn7r7+Lpaqtwp1sIalCkrlaHeCWucGLiUUP/zwwzz88MPUq1ePsWPHEhUVxcCBAx2bMMbX9GuLBfr39z+BzNcMKKVg1y5txkYgM6V279bulZ0NJ0/6f52iTBFFJh1pyApu4UcW0YIYzvMon7CRK/iS7tRhbbibGbGmTAl3C4wrVsw1wVbPjMVDh7Q13OwJt75mKXmSlpZ/5tLo0dprgh55yz4YnQoeyNRxozV19CyWmZe7shb+LpaakqLvuGBMBfeWBG3fF8h7TCQxHNysWbOGa665hpSUFLZs2cKWLVtITk7mmmuuYc2aNaxatYpVq1axevXqIDS3cNMbfPi7crDeF4EtW/y7ft57hbtAV+Fg4SduoSWLaMEifuQWimGjOxNYy5XMoANNWRLuRgoTXLwIP/986Xu9fz+HD1+a8eTvG+4//+Qv2BfI64CeICsp6VLtHfvx3niaOu5PYHTxor5zgkHvgsJWq7a6vTdjxhibCh7s95hIUszoCQsWLAhGOwTBr+qp90WgWjX/ru/PvYR+i2nBbfzINaxgMMPJIJMOzKIDs1jG9bzNU8ykA7lI4YuC6pVXoG1b7d9G/4b694f27f2776lT0LGjVtTOvgq2kdeBvGUf7EFWx46ezzlyBNq00YKa996Dbt28157p2tX9G7meaf/OgZGe1bbzclfWwp9Cp0aK+AVDQakcbYoQDJNFlEjOuQn2eix6p4Ln5Ghj+f6O3duT9/wZ25ZN/1aLv9UYHlbniHbs3ExV1ZsPVUlOhb19svm3Oc9YNPr3M29eYH9zzom3OTlKRUXpO8+fqeD2zZ7r4Wt2prvZUhcvKlW6tO97TJli/HXW1+Pz5zqTJxt/vfb2vBldfLSgrPnlSdBzbkRwBFLVUw+9Bf+io6FnT//uAZc+YVmt8NBD/l9HeLee2jzCWCqzg1cYyhESqcZWRtGXnVzGKwylHPvD3UxhkD3nwWrVejOMyMoKLF/OeUgiOhpuv933OVYrNG3qus9Ir4b9LdVXVXN3wyXz52u9Tr4kJFz6tz+9Enkfn7/XMXJOMIaQWrTwnccT7t4ls0hwE0H8reppREaGVno877hvWpq2PyNDe2GaPNn/e0yefCkh7cIF/68j9DlAeV7gFS5jJ334kC1UJYmjDOU1dlCZsTwsyccFiP0NKzMT3n479Pe3vwHbbLBwoe/jbTZYutR1X6DLt/hqm91XX+k7z/k4f4bM8z4+f69jJI8pGENIs2b5DiI9Df8VNBLcFEEZGbB9OyxYABMnal+3bbs01h7oC5Pzp4nFiwNurtDpDKUYTR+uYCMdmcYyrieG8zzMZ6zlSubShruYRRSFYCpEIbdnj/HS/lFR5nzitr9pZ2XBiRP6ztmzx/X7YOVs5A0o9PTa5D1OT/JyXnkfn/06vnpB8jKSx2T24qN6e9MmTSqis6VE8AR7Krgzq1WbQtitm/bVOVJ394ds1L59WjtXrQr8WsKYXKxk0pGmLKMpS8jkP9iIog3zmUUHNlOdgbwjq5FHsEOHjH/AyM3VXiP8mQpu5zwkoXchX9Da68zsCQWehuSbN9d3vvNxViuMGGHs/nkfn11Ojv5rWK3G1rQKZAaZO3o/tNpLeRR0EtxEkEiZpufpD9mIChWkzk0kWEZTOpJJVbbyBk9zlLJcznbe4Sl2k8ZHPCpDVhEmJUV/LZS8Fi3ybyq4nb9DEnnb26KF/inPoAUv3npBlIJ3383ftscf13qsvImK0o5ztmaN/raB1rOdV1aW/p4jgDvu0PKY9NKTc2Xk/8tIb1phmC0lwU0EiZRpev6+sILrJ6zC8AdSWOykMs/yBmns5mHG8if1KMUZHuUT1nIl87hJhqwixL33GgsMzOScL2ekOFze9s6aBccNLG6vFFSt6v2YBx7Ivzp4dDQ0bOj9vIYNXYMKm00LlIxwN1RjpGcLtBpGRnrdbTbtvt44/3/5YqQ3rVCU8gjB7K2IUpSngpvdDk/TE+1TWWVV8EjectUNZKmpdFQXuTTfdxuV1XO8qsqzNwLaWDQ3+yKG/kzp/umnwMsvOC9TkJjo+3iLxXUJCE/l/c3anJcH0DNdPSrKnCUq8r7u6l37yXmbM8f812G97wd6f6eMrFweajIVvIAK9lRwI+0oXdr4eenpl2Zc2a+TmGhu24RZLCyiJZ2ZxuVsYzjPcoREqrCD1xjKTi5jKp24iXlYyA13Y4uMqCht2rE/08Dj47XzAp2l5LxMgZ5eXKXg9de1f3sr72+WRx651FvxwQdarpE3ubnacXb+9ijnPc9Iz5ad3tld7u4X6HF6l5147z2ZLSVMprcOTSh+8XyNY+eVkgKbN18KbEBrp9EKniL0dnEZzzGcNHbTnS9ZTDOKc5FOTGcebdnIFQziTZIxIRlLeJWbq0071jMkkVevXu4r6RplH5I4exY2bNB3zrBh2pBRsKaAOzty5NKQkN7ZmM5rjfk75JL3vFatjH8INJKDaPZsqaJGgpsIo6cOTbBlZ+ufAmp36JD7WhBDhhifLinC4xwlmEB3WrCYK/mLD+jLceKpzhbe5Bl2k8ZEunEDC4EgfjQv4vbt8y9ImDLF/QKPRjj3DA8aZOzc/v21CQ+hYA9u9AYXf/0F589r5+3Z41rUT49SpfIX8ps1y1hCMRjrdTd7tpTeqeD9+slUcBEkvurQBJtZ3bagb/E3EXnWciVP8AEV2cuDfMavNCKG83RjMgtpxd/U4UneJpUD4W5qoZOa6t/f4K5dgdeVcp59s2mT8fsvXx7Y/fWyD0V1767v+LNntQ+MrVvDffcZS3YGOH1aq1FjT2j2Z12pqCjo21f/8WbPlpKp4CIieKtDE2xmddvaZWRoC/IZLZwlwu8MpRjHgzTmV65hBZ/wCKcoRW3W8zaD2EMlZtCBu5hFMaQctVmMBhZ2778f2H3Hj4evv9Z6OPxZQDeYuTbO7L3BN92k/7VRzwKb3uzefWn1dX961q65xthUcLNnS8lUcFHk2RMa9dKT6GzvjZo3T5KMC6pVXMOjfEJF9vIIn7CM6ymGjQ7MYhYd2E0abzKI2vwd7qYWaP/3fzB2rH/nHj0a2L0PHdJ6Nlq3hm+/NX5+jRqB3V+vcuW0rzZb6IdQ+vf3r9DpypXa0JheegIoI3XPitpUcAluRD72hEY9jCQ6W63aJ62xY7Xz/K2iKsLrJPGM5RGasow6rOUtnmI/5SjHQQbxNn9Tl2VcTy/GEI/B/n/Be+/5l5QbH29uO/buNXZ8ejr897+h+bsuX1776jwLKhSU0gIKfwqd5ubC6NH6jzd7tpTeZScSE2XhTFFIGflU4k+is6ek6UhRGKZBhso66vA0b5HOLu5iFjNpz0WsXM9yxvBf9lGBL+lOW+ZIgcAga9fO3OsZHWLq2lX7YBSKoSl7zk241q5LSfEvmDSycKbZs6WsVu3/yJfC8qFTghuRj95PJX36+J/oHMnDVIVhpkCoXaQ4/8dd/IeZVGIPT/I2a6lDSc7SnQnMoR27SOdtnqQBq5DZVuZbtiy89588WavCGwqLFmlf/anHZYby5aF4cePnVami/1hfC3MarXtms8EXX/g+7sgRSSgWhZTe5ReaNAmsl8M+THX//f5fQ0Seg5TjXZ7kStbQmF8YRW+OkEhF9vEk77KKa1jDlTzD/0hnZ7ibW2gEu76ML7t2wc4Q/XeuWaMlPd9zT2ju5yw9Xft65Ijxc999N/8SEp7MmuX9HkoZq3uWna3/g6skFItCyT6ebdZx3ths8NlngV/HYoG4OO/HGJmpIMxg4Vca05dRVGAfdzGLKXTmHDHU5W/+x2B2UpkFtOIhPiWBf8LdYBGgUC2UO3OmlvTcq1do7uesa1f/iyXu3XtpxpU3eqaaJyVB+/b6720kYJGEYiEClJ1tvOaEJ76Cl3B1YQu4QDT/x110YQrlOMBDfMoCWgHQioV8Si/2U56pdCKD6cRyNrwNFn6ZNSu09/Nn1lKgJk8OrFiiUtqMK2/D33pmShkdPtIbsKSkXBrqstm0HrJJk7SvBWnIXoIbkY/eTyVmlHo3o/szJQVeesl3N3Gg02SFOU6QwOc8xI0s4DJ28Az/Yw11iSWHTkxnOp04SCoTuJc7+ZZocsLdZCEc7FWYA6nb5WsKt97XRSPBna8cHrsePbShrsxMLUeodWtt+K91a+17vcNq4SbBjcgnlGuamHGNESP019fQk7x87bWFZ8ZApNvFZbzJM9TjLxqwird4ih1cRhynuJeJfEt7DlCOcdzPLfwohQJFRDh40PjCpnnNmOH5Z3pfF/v3Nz/Y+OYbmDpVGz7L23u0Z4++YbWIEIJVyiOKkSXTi6qLF7Vl77UOVPdberp2XCju5WtbsEDb9Bx7992+j0lPV2rKFKVSUgJrl2z+brnqepaqEfRTu6no8sPDJKoxPKxuYq6yciEC2ipbUdzmzQv8dQuUmj7d8+tiUpK+a1gsnq/jTO9rJCiVnOz9fma9/htl5P1bem5EPmavaeLrXtdc4//5SUlad6u9QJWnHheLRfu5nqmqu3ZpQ127d/tOUhbBYOEXmjCAkaSzixYs4kP6sJ9yJHGUXnzKPNqyl4qM5jFuYp706IiQsc+WMmN2mrdFKnN0jsYq5TuHB4ylAHhbqkIpY5WRw0WCG5GP2WuaeHP+PHz3XeDXsVq1yq6QP8Cxf9+rl/71Zfbt065ZkBLoCiNFFItpweN8SCX2cCPz+YRHOEwSqRziMT5mHm0dQ1d38q0kI4ugCmS2VF6eFqnMyjK24rieYMPsGVCRPl1cghuRj9lrmngzevSlaqP+cJ4x4Knysb2KspF1bypU0K575oz/bRPmysXKAm7kUT6hAvtox2zG0IuDpJDIMe7nC76lPYdIYQqd6cok4jgR7maLQibQ2VJ5uQsSsrLMuY6zFi305RzqzTeM9OniEtyIfMxe08QbI+XI9bTDXvl4wQKYOFH7aq+ibHQqZKR/MinKLlKcObTjv4yhAvu4gYWMpB87Sac0p+nMNCZxD4dI4Ttu50E+Ixk/FgQSIg/7bCmzSku4e11av96c6+R18aLvY5TyfYw9HSCSFQt3A0TkCeVsqWrVAr9G3nZYrdCqVf7jmjaFqCjfPUUffKBdI9I/mQhNLlayuYFsbmAAI7iGlWSQSUemU4sN3M4P3M4P2IgimxZ8y138H3eymRAtYS0Knb17tdeSQKWl5Q8SMjO1nmYjSpb0HWxkZ8MJkzoy9QRA4SY9NyIfPcm5RtY08aZ378BeJIx8gsjO1jcElpysfdXbjSsiiYWVNGQor1Gb9dTmb4bwKr/TECu5tGIh7/Ikm7iCddTiTQbRgkVY0fGRVoh/LV9uTqDQpYvrxAw9lYnd0ZMbaGZP9NGjklAsCiA9yblG1jTxda+YmMCvo4fecWz7cVartjhoJPJnReKiaD21eZ0hNOJ3qrCNfoxkHjdxgWLUYgODeJtFtOQA5fiK+7ibb4jHpJLZotAyq+fiyy9dAxM9+Y7u5ORIQnFeEtwIt3wl5/qzErg72dlwNoDJLcFewTYhIXjX9ldyMuzfLwGOUTuowvv0oy3zSOYwd/MNX3EfR0gkiaPcx9d8Q1cOk8w8bqIfI6nG5nA3W0QgM4bTQVvI0vn1K5CAQU9CcSBVlfOK9GF7CW6ER96Sc81iRvSv9xru8nB8Hbd1q9HWBN/hw7B0KRQvHu6WFFwnSGAqd9ODr0jlIM3J5g2e5m9qU5yL3MTPjGQAm6nBOmrxLgNoyxxiOBfuposIUK+evqUM9HB+/QokYPB1rtUKzZr5f31npUpJQrEo4Dwl55ollEs4tGihDat561K2WFz/aCN1GYasLN9raQl9crGyhOYsoTnP8gbV2MwdfMed/B83sIhabKAWGxjASM5QggW0Zja3MJtbJCm5iNq/37xrOb9+2dd/Mvq3rSeh2GaDuXONt88dM5Kpg60ANFEUZnoXc3PHaGJzdrbvsXKlXLuJGzf2r22i4NpCdd6jP22YTwqH6Mg0PuUhdlOJkpzldn7gA55gE1ewiep8QF9u5ztKcjrcTRchsny5OR8uEhPN6QHRk1CclWXe4sEnT0pCsRA+XfCjcr4/ic1GE4rhUql1X0KZmxMVpU1rF8F3nDJk0pFefEo6u6jHnwziTeZzI+cpTnW20JdRfMedHCWRObRlAO9Sh7VAAZgvK/xiVkJx3roz2dn+BU2+EoozM6FDB+PX9UYSioXwwt/aC2YnNnuip2cpKUmrjeOvUqWMHZ+bC3//7f/9QuWFFwpG97V+FtZQj7cZRBvmk8QR7mIWo3mMbVQhhvO0ZR7v8iRruZI9VOILetCdL6nInnA3XpjIrITiEyfMSyieP999D05mJnTsaGw5Bz2ch9NsNu1D4aRJ2tdIWLamUL30iILHyB/ziBGBJTb7k1CsV8WKxs+x8+dTYCQmOueVmxvY0hqR7hRx/B930YfRVGUrNVlPP0Yym3acJZaK7KMHX/ElPdlDGmupw3s8wZ18K9PNC7hITCh+9VWoUkULZuz8rZvji/NwWmamdt/WreGee7SvedsRDpJQLMJK7x9zfDw8/nhgtXVatdJKpnv7BFO6tGtwo6eb+MgR7U1cT/VjZxaLNq37kB+rAkRqonPRZWEjNdlITd6nHzGcoylLacM82jCPa/mdOqyjDut4gg+4iJXfaPTvT9vwC9dznhAVfBIBM2vhTDAnodhuzx7o1OlSr7a/dXN86dNHey3OzNTul/cDWt52hIP03Iiw0lt7oZhJYbivgoF5f663Z2nRIuOBDcC99+o/xy4+PvITncuWDe4su0iXQywLuJEhvE5jfiWJI2QwndE8xkZqUAwbTfiF53mVhbTiKIn8wK08ydtcy29SMTnCHTpkTkKx2flz9iCjf3+t18a+DpbZtm271Cvkruc5bzvCQYIbEVZWK/Tq5fs4M8p96+2Fcb5PsApV2XOG2rc3fm6xYoENg4VC//5acCOFBjX/UJYZZNCH0dRkI5XZzoN8xtfcwwFSKcUZbmU2bzOI37iOoyTyHbfzFG/RiF8l2IkwBw6Yc53cXK1mlZ2/CcXOlNKCmuxs12ubado0LbfGW6+QczvCQYalRNjV0FkqJNDsfH9WO2/aVAvAvH36sFr1T+eMjYXvvtPe+O3XNdoNbZ/OWaJEYNWdg6VsWRgyRPu3FBp0byeVGceDjONBQHEla2jLXFqRxQ0sogzHHQt+ApwgjsU0ZyEtyaIVK7mGi8iTGy7/+59513J+vTFzBtK+fcGb0XTunP7Zp+GaVSXBjQi7TZv0HRdoL4o/q50vXeq7W9Vm0wIVPUFKyZKXAhs7f6bC792rvcBEov79tccnhQb10mZhraEeIxhIFDau4k9akeUIdsryD7fxI7fxIwAnKe0S7KygoQQ7BZTz642ZPcUVKmg5hOEWrmUaJLgRYWWzwdixvo9LSwu82JXeXhjnMXC9nzr279cXpNiH1+z5KP5OhV+61LxaG2az98RFeh2MSJWLldVczWquZiQDiMJGPf6iFVm0ZCEtWUgix7iV2dzKbABOUYrlNGYxzVlMc37hek4RF+ZHInzJW1m4aVPjExPcsb+OLV8e2HW8adUKPvrI+weYpKTwLdMgwY0IK73Z/L16Bb4Kud5emKVLLwUfej91HDqkP0gJtBs6Pj6yAwf7cxbpC+sVFLlY+YMG/EED3qM/FnK5kjUuPTvJHOEmfuYmfgbARhR/UJ/FNGcJzVhMc/ZSycedRKidOaPNOLLPbJo/35zyCfbXsWPHAr+WJ5FeSFSCGxFWet+k9eblmHEv5+Pss7n27HHfU2KxaD9PSdHfjkC7oYsVM174L1ScP6mZ9SlUuFJE8RdX8RdX8QFPYCGXOvxNM5bQnMU0YwlV2cY1rOIaVvEEWoXJbVRxBDqLac7f1EHJnJKwe/hhGDBAe40x0759sGKFudd0Nnq0/gka4Zg5KcGNCCt/8mBCeS+rFd57T6vZkHfRTeclIBIT9V07JSV/N7SvobK8jh6FBg20goaBKFYsf/l3My1dKoFNKCiiWMuVrOVKxvBfACqyxyXYacBqLmc7l7Od+/gagGOUYSlNWUIzfuF6fqORDGWFwYkT/g1N+1KhQnA/BC1erO84SSgWRZI/eTD+0lMgy90YcUaGNvWxXz/XIbS0NC2wycjQ2p+W5nuIbdQo1+E1PUNl7qSmGj8nr2AENs6f1CJ56Kyw20slpnI3U7kbgNKc5Hp+cQQ8TVhGWf5xmZGVi4U1XMkvXM8vXM9yGrOO2tK7UwCVLq29jo0fH9x76CEJxaJI8icPJhwyMrSaNNnZ2pt2hQrai4c9UHHu4fGU6DtoEHTu7LrP3wDgt9/8Oy8U7I9Jcm4ixynimEdb5tEWgGJcoD5/0IwlNGMJjVlOZXb+O9j1F4+gZfkfJ55fuc4l4DlCcjgfitDh1CntA9m8ecG7R9eu2lpSofhg6g8JbkRY+ZMH4y8jRfzcBVJWq/cAy1MPT0qKNj7dqVP+c/wJAKKiImNhOk/sj8mfITcRGhcpzgquZQXX8j7a4kPl2Udjlv8bxvxCI34jgRP/hkSX3iU3U80l2PmD+lwgOlwPRXjw3//C8SAuYfb335H9wVSCGxFWocy5CUUg5auHJy9/llHIzQ185liwOE/Z93fITYTHfiowiw7MogMAVi5yJWtcAp7arKc6W6jOFkfuTg7R/EF9fudafqMRv3Mt66iNTd5ewiqYgQ3or34sOTeiSNI7G8mMWgmhCqR89fA4++QT/+7RqJF/5wWb85R9ybkp2GwUc0xBtycql+EYjfjNEexczy8kcozr+I3r+A34CIAzlGAVV/M71zq2jVxBLhEalQvDJOdGCC/0zkYyo6cilMnLem3Z4t95waxfEQjnKfuSc1P4/ENZ5nIzc7n53z2Kqmx1CmF+pyEriOckzVhKMy59vD9JaVbQ0CXg2UI1QJa4D5a8r6lmkpwbIXzQMxvJDJGYvFytmvFzjNbVCSXngEbq3BQFFrZSja1UYwpd/t2TSw02OUKYRvzG1awijlO0YiGtWOg4+xhlWEFDVnE1q2nAKq5mAzWlh8cEwQxsANavj7zXU2cS3IiIYDRXxR+hTF7Wy17Ay4hevaBSBBabzfspTercFE2KKDZSk43UZCL3Alr+Ti3Wu/TwNGA1ZfmHNsynDfMd55+hBH9Rj1Vc7Qh6/qIeZykZrodUIAV7eZbt2/UdJzk3osgzkqvij1AmL+v16afGz6lRIzJnIuX9lCY5N8LORjFHocEvuB/QpqPXZa0j0LmaVdTnD0pzmsb8SmN+dTo/ig3UdAl4VnE1R0kK0yMSp07pO05yboQIslAmL+vlT85NhQqROxPJOaCRnBvhzUWKOxKW7aKwUY0t/4YwqxxBTzkOUod11GEd93KpNPdO0h2Bzp9cxV/UYwvVZFgryKKi4Kef9B0XrpybiCg9OWrUKKpUqUJsbCyNGzfm119/9Xjs+PHjsVgsLltsbGwIWysKKnvyMlxKVrYzO3lZL6M5N/ahn0jtFXGXcyOEXrlY2cQVTKELg/kftzKb8uynAnu5je8ZwqtMpROb0f5wLmMXd/F/vMjLTKcTG6nJSeL4lUZ8xoP0ZwQ3Mp8UDob5kRUuubn6XoNyc/VPGTdb2HtuvvnmGwYOHMjHH39M48aNGTlyJO3atWPDhg2keqgxHx8fz4YNGxzfW/K+UwnhQaiSl/UymnNjH/qJtF4Rd71ewc65CXbCpIgUFvZTgR+pwI/c5tgbz3Gu4k9HL089/qIuaynJWRrxO4343eUqB0jlL+o5enj+oh5/U0dyeYKsyObcvPvuu/Tq1YsHHngAgI8//pjvv/+ezz//nGeffdbtORaLhfLly4eymaIQCUXysl7+5Nzs2wd33+17iM3XG79ZwYGnXq9gv6hJYFO0nSCBxbRgMZciavuwVj3+4ir+/DeE+YtqbKEcBymXJ3nZRhSbqe4Idv6iHmu4kq1UlSKEJjFjHTx/hPV/7/z586xYsYLBgwc79kVFRdGmTRuWLVvm8bxTp05RuXJlcnNzueaaa3j99depW7eu22NzcnLIyclxfH8iGMuvigIn2MnLevmTc5Oaqq8+UPv2MGuW5+vUrw+rVxu/f16eer0irXdJFH72Ya1NXEEmHR37S3Kauqx1hDD2wCeFw//O69pIJ6Y7js8hmg3U5G/qsJa6/E0d/qYOm6nORYqH46EJg8Ia3Bw+fBibzUa5cuVc9pcrV47169e7PadmzZp8/vnnXHXVVRw/fpy3336bpk2bsnbtWtLS0vIdP3z4cIYNGxaU9gsRKH/q3NjpGWJ7+ml4913X5GOrFQYOhNOnAw9uRoyAxx933+sldW5EpDhDqX9rKF/ntFdRjgP5enlqs46SnHUsIursAsXYyBX5gp5N1OA8MaF9UAXEd9/BTTeF/r4WpcLXubt3714qVarE0qVLadKkiWP/008/zcKFC1m+fLnPa1y4cIHatWvTrVs3XnnllXw/d9dzk56ezvHjx4mPjzfngQjhp/PnoWRJYzOfJk6Ebt0ufW+zeR9iO39eW7hzyxYtmOrdG6KjtQDIaI0dZ2lpWq0LT8N5WVnQurX/1xciHCzkUpkd/4Ytrlsc7uc/X8TKZqo7jrQHPpuoUeRzelJStNcmM4b9T5w4QUJCgq7377D23CQnJ2O1Wjlw4IDL/gMHDujOqSlevDhXX301mzdvdvvzmJgYYmIkohaRKTpa60V56y395+Qd7vE1xBYdDf3759/vTwFBZ++95/0FK1JndAnhjSKK7VzOdi7nB253+Ukau6nL2nxBTxmOU4sN1GIDGcxwud4OLmMDNVlPLTZQ07HtoRIqMiYsB9WhQ9qHr1CnAYQ1uImOjqZhw4bMnz+fDh06AJCbm8v8+fPp27evrmvYbDb++usvbrvtNt8HCxGB3nxT+/rOO76HcMxcq8WfZGaApCQYM8b3zLJwJRIKERwWdpPObtL5iVuc9isqsC9fwFOXtSRxlMrspDI7uZm5Llc7TUk2coVLwGPfTqNzVcoCIhwfdMKeDj5w4EB69uzJtddey3XXXcfIkSM5ffq0Y/ZUjx49qFSpEsOHDwfg5Zdf5vrrr6d69er8888/vPXWW+zYsYOHH344nA9DiIC8+Sa0aQPt2nk/zsy1WubM0Xdc+/ZQr57271attC0cM8vyKlVKyxsSIrws7KMi+6jIfNq4/CSJw25Clw1UZzOlOMPVrOZqVue74m4quQ16dnJZgSxQGI4POmEPbrp06cKhQ4d44YUX2L9/Pw0aNGD27NmOJOOdO3cS5VQJ7NixY/Tq1Yv9+/dTtmxZGjZsyNKlS6lTp064HoIQpjhyRN9xZnwKsgdJerRoAU8+afweB4NcN61pU5g71/dxQoTLEZJZSjJLaeayvxgXuJxtbgOfchwkjT2ksYeb+NnlvPMUZytV2UQNNlPdsW2iBju5TKavOwlrQnE4GElIEiKU5s/Xem98mTcv8NkHRpJ9f/oJbr7Z+D30Ph5/desGkyYF7/pChEMZjnEFG6nJBmqx3hH01GATMZz3eN4FirGNy10CHvu/t1MlrFPY806C8FeBSSgWQoSHkd4fvT1KoXb2bLhbIIT5/qHsv8uGNnbZH4WNNHY79ddspgabqM5mqrGFEpz7t8LPpnzXvIiV7VTJ19uzmersoDI5BHcJoyI5LCWE0OgdxjFjuMdIgT1/i/EFa1jKvtRDs2Ywc2Zw7iFEpMnF+m9qcmV+xrXr1kIuldjjNvCpzmZKcpbqbKE6W4Cf8lzXwl4qspWqbONyl69bqcp+yhfIWV0S3AgRIfR+ujHjU5B9hXTn4n/uBLJKejA+rTkv9RAXZ+zc5GS47z7tXKMkeVlEMkWUYyZXFnnHmxUV2esx8CnNaUeOzw1k57v2OWLYxuX5Ah/715P4Tu8Idv6dOxLcCFEE2Zdv6NjR+3G+atmEmnP1ZaP5NiNHQvny+oObe+6BO+7Qeq5stuDmDwkRPBb2Uom9VGIRLfP8TJHCIS5nG1XZmu9rOruIJYfarKc27lcNOEyS28BHy/W5HJBhKSGKtFAOS4EWIEyfDo88kj+vRm8tG2+++y6w9qWna0tHJCe7r75sdLjM6Fq7DRpcSoK02bR2HD5s7BqiYEpKcv2biI+HwrksoYVDpHKI1Hw5PqDN6kpnlyPYyRsApXCYZI6QzJF8q7D/xZX5lq8IJQluhIgQet+szVyQ0r5CelaWtoE5tWxsNvj6a//P97ZmlV2LFsYDDiOB4T//XPq31er/kJYoeCZNgmXLtJ7Lo0cLa2Dj20WKs42qbKNqvjwfgNKc9Njrs5ZLi1nLsJQQRZg9D2bPHtdVvu3sibT+5sB4YrVqU8vNXNwuO1sru+6P9HTfgQ1oP3/sMXCzpJxbBw8a6x6PypNDeccdkRPcWK3G1iMTxvzwgxbYFK1CKcadIu7f5UWv8npcOIalCl4KtBCFlD0PBi4lzto5J9JGUg6MJ/4WGrRYjD1GI28+Rl9gzQ4i3cn7/+zLc8/BggVw5oz2deJEGDbMv2sJz776SgKbgk6CGyEiSEYGTJsGlSq57k9L0/YHkgMTSv4MnaWnG3+MvtbiystI93jeAGv/fmP30uP557UgpXdvfcdfeaU2ZBgdrX3t1g1eeEHLncr7OyP8F6m1nQqqcAxLSXAjRITJyIDt2y99Ml+wALZtKziBDVwaYvPWmxAfr62GPmGC/4+xTBn9xx48aCzoyvuC7O8wmzc33KAFKZ076zveU/udf2d0rjksgqxHD+13Ozk53C0JPzPzBPWSnBshIpDVas7imOFiH2Lr1EkLcJy7+O0Bz7hxgQdszkm/vqSmakFXSoq+QCXvC3JKiqGm6WIPoMzIt7L/zths8OGH5rdVGNOjh/Z/UtRn2KWkhGaINy/puRFCBEUkDrFZrTB6tO/j0tPzvyAbnUquhz0PqDDlWxV0ycna72ygOUz795uzyG1BN2pUeH5vJbgRQgRNsIfYjAxL2XNmOnWCQYM8H2c0qdksZgWD4chvKEzuuw/ef1/7dyABzqFD4ZklFEluv13/kKvZZFhKCBFUwRxiMzIs5TwU9eab0KiRlsjrPGyQnn6pAnJewQga8iYp2+sOZWe7L1yoRzjyGwqT9u2139dp06BfP99LlHgSjGHMgiacVb0luBFCFAl532w6d9aCCb2BRDA+hbvL/Qk0GPSVvyPcy5vXZA80X3gBXn/d+PUqVdL+D4qycAZ4MiwlhCiwEhP1H+suZ8YeSHTrFnhVZn8E48XfW/6OcM9TXpPV6t//UXKyFiQFY4ZdQRKMPDW9JLgRQhRYu3aF7l7BGJYKVm0aT/k7wj1veU3+BDf33KMFRklJgbdN+EeGpYQQBZLNpiUp6xVoET6zc1nczcgyU978nb174amngne/gmjoUG3ZEW/Dkf4EN5dri2EX+WKA4Uxul+BGCFEgGV2/KtAhArNyWUI5tds5fyeQhUz9VaaMsaTvUIqLg5de8v5/kJkJ//2v8WvbA6KinlQczuR2GZYSQhRIRmuIBDpE4G8uS3y86/fhqvMTyvyPjh21af/2KdWRqE0b34FNp07+FeGzDweGM+ck3ILdM+mL9NwIIQoko58KzRgisOeyGJki3K0bdO3q/9Rus4SqFyEtDb75RnuM8+eH5p7+KFfO889sNu3/2J8eunC/qUeKcBedlOBGCFEg2YeJ9AYZZiV32nNZWraEJUt8H3/gQGQspaE3uTg+Hk6cMH59e2/We+8VjErK3gKX7Gz/6tvkLQAZjMVWC4K+fcO/Fp4MSwkhCiTnYSI9zEzutFqhXj19x0bK0IQ9GPQmPV17Q/a12GNSkr5Kyv/3f/61NRQOHPD8M3/q05Qqlf/xF9Wp4NWqhbsFEtwIIQqw9u2hdGl9x5o9LKO3dyJSejHswaDF4n79KnuvQ4kS8Mkn3o8bMwZ27PC+rIbNBmPH+t/eYNfo8VaU0Z+g5IMP8vdWRHJCcYkSwbt2JDxuCW6EEAVWdjacOqXvWLNrvjRubO5xoaB3/So9x/kqgJiVBWfO+NfOvn2DX6PH2zRlf4Ywjx/Pv8/sx1C/vvug0x8NGwZ+DU8iob6S5NwIIQosvTOmEhPNT/JMTzf3uFDRu35VoOtc/fyz/22sVk1bcNV+79RUuPVWuHDB/2vm5a3nxp8hTHcBUYsW2u/e0aPGr+fOgAHaFPZHHw18yKtyZVi82Jx2OYuUhGoJboQQBZbeGVP9+pk/PKQnoTlSXujz0rt+VSDrXG3f7t95oA1rON87K8vcwAbM77lxFxBZrVqAOG6c8eu5c+wY9OwJp09Djx6BXatyZXPa5CxvQnU4ybCUEKLAsgcY3rrpk5JgyBDz7+2cw+JOJL3Qh0MgQyd5hzWM1jTSw9tUcLN6bgBatzZ+LV/3CLTXJj0dbrwx8PbkvWY46jd5IsGNEKLA8lVYz578GqwAw56bkncWUqS90IeDvz0D7nq7glHptpiXcYutW41fz1PAYeYsPfs9/L2mc+J4q1bGFp715tln8yeUh5sEN0KIAs1T8muoAoyMDG0IxtvMoaLIaM+A8xtv3mC0RQtISDCtaYDnRG+bDb780vj1PAUcZs4cCjRQypsQfued5rTLPowYSSTnRghR4AWa/BqoQHJTCqtWrbRhFL1vyGlpWmDjLii0WuH++/XVNYqNhXPnfB/nKdE7O9v9zCd/BWPmkNEel/79tb+PvH8TZvWIReICoRLcCCEKBQkwIovVqg0Jduzo+Zhhw6BGDX3BaIcO+oKbZ5/VFsT0xluitz8F/MBzwGG0kraee+gtDFm2LHz6qedexJ07A29TpJJhKSGEEEGRkQHTp+fPSUpL0/a/8ILnOjl56a2wPHQoDBrk+Rhfid7+Jut6CjiMVtL2xj59XW9v0NSp3odHzSqUaFbujpkkuBFCCBE07nKStm83npOkt8Ky1QpvvglTpuRfRkJPHpa/a5B5Czjat4eSJf27rjP78I/eQM9XT6ZZNZgiZYkRZzIsJYQQIqjMGjL0tCq7u3ydzp21743mYfmTPxIX572eUXa2/9WandmTk+2BXqdO2vfOi4DaAz89ZQjM6nGJhIrEeUlwI4QQosAwkjzuT1Dlz+ymm2/2Hkj4m8eTl3MQYSTQ88SMysmRWqhSghshhBAFSjCTx/3phfC1fpi3Fcj1chdEBDpLcOlS/fe3WPzvIQoHCW6EEEKIf7VooeXqHD6s/xxfPSBGhrqMBhH+Bno2G/z6q75jMzK0Y/3tIQoHSSgWQggh/mW1wkcfGTvH15TqKJ3vtJ06+V6x3SxZWfrqAQH07l3wClVKz40QQgjhpFMnbTr5W2/pO965p8WdVq3g1Vd9X+fRR2Hy5NAUo8zK0ndcbOylqfoFqY6UBDdCCCFEHsOHw7vvasM3vvjqmdFTrTkpKTKDiDvuiMycGl9kWEoIIYTIIytLX2ADvuvF2Ks1exPMBV7d0RtAPfpoUJsRNBLcCCGEEHnMm6f/2LzFAt3xVa051Pkr9t4kb+y9SQWRDEsJIYQQeSxfrv9YvRV6w73AqzM9a3+FujfJTBLcCCGEEHn89Zf+Y43UxomknBp7b5K7QoDvvRfZs6F8sSjlK8+7cDlx4gQJCQkcP36c+Pj4cDdHCCFEhLHZoHhx37Og7C5eLLg9HKA93kjoTfLFyPu39NwIIYQQTrKy9Ac28fGRGQgYEUm9SWaRhGIhhBDCid4aMOB7dW4RHhLcCCGEEH6qXz/cLRDuSHAjhBBCODEyRPPAA0FrhgiABDdCCCGEEz01YABKl4Ybbwx6c4QfJLgRQgghnOipKAzwxRcFP5m4sJLgRgghhMjDXgPGXQ9OUlJ4qgoL/WQquBBCCOGGvaJwVtalGVStWl1a4FJELgluhBBCCA+sVrjpJm0TBYcMSwkhhBCiUJHgRgghhBCFigQ3QgghhChUJLgRQgghRKESEcHNqFGjqFKlCrGxsTRu3Jhff/3V6/FTp06lVq1axMbGUq9ePX744YcQtVQIIYQQkS7swc0333zDwIEDefHFF1m5ciX169enXbt2HDx40O3xS5cupVu3bjz00EOsWrWKDh060KFDB9asWRPilgshhBAiElmU0ruwe3A0btyYRo0a8eGHHwKQm5tLeno6jz/+OM8++2y+47t06cLp06f57rvvHPuuv/56GjRowMcff+zzfidOnCAhIYHjx48THx9v3gMRQgghRNAYef8Oa8/N+fPnWbFiBW3atHHsi4qKok2bNixbtsztOcuWLXM5HqBdu3Yej8/JyeHEiRMumxBCCCEKr7AGN4cPH8Zms1GuXDmX/eXKlWP//v1uz9m/f7+h44cPH05CQoJjS09PN6fxQgghhIhIhb5C8eDBgxk4cKDj++PHj3PZZZdJD44QQghRgNjft/Vk04Q1uElOTsZqtXLgwAGX/QcOHKB8+fJuzylfvryh42NiYoiJiXF8b39ypAdHCCGEKHhOnjxJQkKC12PCGtxER0fTsGFD5s+fT4cOHQAtoXj+/Pn07dvX7TlNmjRh/vz59O/f37Fv7ty5NGnSRNc9K1asyK5du4iLi8NisQT6EFycOHGC9PR0du3aJcnKPshzpZ88V/rJc6WfPFfGyPOlX7CeK6UUJ0+epGLFij6PDfuw1MCBA+nZsyfXXnst1113HSNHjuT06dM88MADAPTo0YNKlSoxfPhwAPr160fLli155513uP3225k8eTK///47Y8aM0XW/qKgo0tLSgvZ4AOLj4+WXXyd5rvST50o/ea70k+fKGHm+9AvGc+Wrx8Yu7MFNly5dOHToEC+88AL79++nQYMGzJ4925E0vHPnTqKiLuU9N23alIkTJzJ06FCee+45atSowcyZM7nyyivD9RCEEEIIEUHCXuemMJEaOvrJc6WfPFf6yXOlnzxXxsjzpV8kPFdhr1BcmMTExPDiiy+6JDAL9+S50k+eK/3kudJPnitj5PnSLxKeK+m5EUIIIUShIj03QgghhChUJLgRQgghRKEiwY0QQgghChUJboQQQghRqEhwY9CoUaOoUqUKsbGxNG7cmF9//VXXeZMnT8ZisTgqMRcFRp6r8ePHY7FYXLbY2NgQtja8jP5e/fPPP/Tp04cKFSoQExPDFVdcwQ8//BCi1oaXkeeqVatW+X6vLBYLt99+ewhbHD5Gf69GjhxJzZo1KVGiBOnp6QwYMIBz586FqLXhZ+T5unDhAi+//DLVqlUjNjaW+vXrM3v27BC2NjwWLVrEnXfeScWKFbFYLMycOdPnOVlZWVxzzTXExMRQvXp1xo8fH/R2ooRukydPVtHR0erzzz9Xa9euVb169VJlypRRBw4c8Hretm3bVKVKlVSLFi1U+/btQ9PYMDP6XI0bN07Fx8erffv2Obb9+/eHuNXhYfS5ysnJUddee6267bbb1OLFi9W2bdtUVlaWWr16dYhbHnpGn6sjR464/E6tWbNGWa1WNW7cuNA2PAyMPldff/21iomJUV9//bXatm2b+umnn1SFChXUgAEDQtzy8DD6fD399NOqYsWK6vvvv1dbtmxRo0ePVrGxsWrlypUhbnlo/fDDD2rIkCEqMzNTAWrGjBlej9+6dasqWbKkGjhwoPr777/VBx98oKxWq5o9e3ZQ2ynBjQHXXXed6tOnj+N7m82mKlasqIYPH+7xnIsXL6qmTZuqTz/9VPXs2bPIBDdGn6tx48aphISEELUushh9rj766CNVtWpVdf78+VA1MWL48zfobMSIESouLk6dOnUqWE2MGEafqz59+qgbb7zRZd/AgQNVs2bNgtrOSGH0+apQoYL68MMPXfZlZGSoe++9N6jtjCR6gpunn35a1a1b12Vfly5dVLt27YLYMqVkWEqn8+fPs2LFCtq0aePYFxUVRZs2bVi2bJnH815++WVSU1N56KGHQtHMiODvc3Xq1CkqV65Meno67du3Z+3ataFoblj581x9++23NGnShD59+lCuXDmuvPJKXn/9dWw2W6iaHRb+/l45++yzz+jatSulSpUKVjMjgj/PVdOmTVmxYoVjKGbr1q388MMP3HbbbSFpczj583zl5OTkGzovUaIEixcvDmpbC5ply5a5PK8A7dq10/036y8JbnQ6fPgwNpvNseaVXbly5di/f7/bcxYvXsxnn33G2LFjQ9HEiOHPc1WzZk0+//xzZs2axYQJE8jNzaVp06bs3r07FE0OG3+eq61btzJt2jRsNhs//PADzz//PO+88w6vvvpqKJocNv48V85+/fVX1qxZw8MPPxysJkYMf56re+65h5dffpnmzZtTvHhxqlWrRqtWrXjuuedC0eSw8uf5ateuHe+++y6bNm0iNzeXuXPnkpmZyb59+0LR5AJj//79bp/XEydOcPbs2aDdV4KbIDl58iTdu3dn7NixJCcnh7s5Ea9Jkyb06NGDBg0a0LJlSzIzM0lJSeGTTz4Jd9MiTm5uLqmpqYwZM4aGDRvSpUsXhgwZwscffxzupkW0zz77jHr16nHdddeFuykRKSsri9dff53Ro0ezcuVKMjMz+f7773nllVfC3bSI9N5771GjRg1q1apFdHQ0ffv25YEHHnBZ6FmET9hXBS8okpOTsVqtHDhwwGX/gQMHKF++fL7jt2zZwvbt27nzzjsd+3JzcwEoVqwYGzZsoFq1asFtdJgYfa7cKV68OFdffTWbN28ORhMjhj/PVYUKFShevDhWq9Wxr3bt2uzfv5/z588THR0d1DaHSyC/V6dPn2by5Mm8/PLLwWxixPDnuXr++efp3r27o2erXr16nD59mkceeYQhQ4YU6jdtf56vlJQUZs6cyblz5zhy5AgVK1bk2WefpWrVqqFocoFRvnx5t89rfHw8JUqUCNp9C+9vq8mio6Np2LAh8+fPd+zLzc1l/vz5NGnSJN/xtWrV4q+//mL16tWO7a677qJ169asXr2a9PT0UDY/pIw+V+7YbDb++usvKlSoEKxmRgR/nqtmzZqxefNmR7AMsHHjRipUqFBoAxsI7Pdq6tSp5OTkcN999wW7mRHBn+fqzJkz+QIYewCtCvkShIH8bsXGxlKpUiUuXrzI9OnTad++fbCbW6A0adLE5XkFmDt3ru73Ar8FNV25kJk8ebKKiYlR48ePV3///bd65JFHVJkyZRxTlrt3766effZZj+cXpdlSRp+rYcOGqZ9++klt2bJFrVixQnXt2lXFxsaqtWvXhushhIzR52rnzp0qLi5O9e3bV23YsEF99913KjU1Vb366qvheggh4+/fYPPmzVWXLl1C3dywMvpcvfjiiyouLk5NmjRJbd26Vc2ZM0dVq1ZN3X333eF6CCFl9Pn65Zdf1PTp09WWLVvUokWL1I033qguv/xydezYsTA9gtA4efKkWrVqlVq1apUC1LvvvqtWrVqlduzYoZRS6tlnn1Xdu3d3HG+fCj5o0CC1bt06NWrUKJkKHok++OADddlll6no6Gh13XXXqV9++cXxs5YtW6qePXt6PLcoBTdKGXuu+vfv7zi2XLly6rbbbiv09SKcGf29Wrp0qWrcuLGKiYlRVatWVa+99pq6ePFiiFsdHkafq/Xr1ytAzZkzJ8QtDT8jz9WFCxfUSy+9pKpVq6ZiY2NVenq66t27d6F/s3Zm5PnKyspStWvXVjExMSopKUl1795d7dmzJwytDq0FCxYoIN9mf2569uypWrZsme+cBg0aqOjoaFW1atWQ1JmyKFXI+xuFEEIIUaRIzo0QQgghChUJboQQQghRqEhwI4QQQohCRYIbIYQQQhQqEtwIIYQQolCR4EYIIYQQhYoEN0IIIYQoVCS4EUIIIUShIsGNEEIIUQQtWrSIO++8k4oVK2KxWJg5c2ZE3G/dunXcddddJCQkUKpUKRo1asTOnTsN3UuCGyGEEKIIOn36NPXr12fUqFERc78tW7bQvHlzatWqRVZWFn/++SfPP/88sbGxhu4lyy8IIUQQ7dq1i+7du3Pw4EGKFSvG888/T+fOncPdLCFcWCwWZsyYQYcOHRz7cnJyGDJkCJMmTeKff/7hyiuv5I033qBVq1ZBuR9A165dKV68OF999VVA15eeGyGECKJixYoxcuRI/v7/9u4tJMqtjQP4f9QZTcft+Vip5SAm1WhogY04CKWEVhYWkqccgow0BTXtwlIvRrypoEIQGxWKwk4QEtmFiJmkKKK07WAJUgheCNlopc2sfSHO13jYqXn49vT/wbp413pnPc+Ih8f3Xeudv/9GU1MTcnNzMT4+vt5pEf3S2bNn0d7ejjt37qC3txdJSUmIi4vDu3fvViWe0WhEY2MjgoKCEBsbC09PT+zZs2dZt8tY3BDRqlCr1cjNzV3vNBakVqshkUggkUjQ09OzanF8fHwQGhoKAPD29oa7uztGR0dN4xkZGaY8VnvNA9FiDQ0NQafToaGhAVFRUQgMDER+fj5UKhV0Ot2qxBwZGYFer0dFRQXi4uLQ1NSExMREHDlyBC0tLUuai8UNEZlJSEhAXFzcvGOtra2QSCTo7e1d46xWx6lTpzA8PIzt27evSbyuri4YDAZs3rzZ1Hf16lUMDw+vSXyixerr64PBYEBQUBDkcrmptbS04P379wCA169fmwrzhVpRUdGiYxqNRgDAoUOHkJeXh9DQUBQVFSE+Ph5VVVVLyt9mSWcTkcXTaDQ4evQoPn78iE2bNpmN6XQ6hIeHY+fOneuU3cqyt7eHt7f3msQaHR1FWloaqqurzfqdnJzg5OS0JjkQLZZer4e1tTW6urpgbW1tNiaXywEAW7duRX9//7/O4+bmtuiY7u7usLGxQUhIiFn/tm3b8Pz580XPA/DKDRHNEh8fDw8PD9TW1pr16/V6NDQ0QKPRAJhebJiTkwNPT0/Y2dlBpVKhs7NzwXkDAgJw5coVs77Q0FBcunTJdKxWq5GdnY3c3Fy4uLjAy8sL1dXVGB8fx8mTJ+Ho6AiFQoEnT56YzWM0GqHVarFlyxZs2LABSqUS9+7dW/J7V6vVyMnJQWFhIVxdXeHt7W2W33Jz/P79Ow4fPoyioiJERkYuOS+itRYWFgaDwYCRkREoFAqzNvMPgUwmQ3Bw8L82Dw+PRceUyWSIiIjAmzdvzPrfvn0Lf3//JeXP4oaIzNjY2CAtLQ21tbX4eTNlQ0MDDAYDkpOTAQCFhYW4f/8+6urq0N3dDYVCgdjYWLP1JMtRV1cHd3d3dHR0IDs7G1lZWUhKSkJkZCS6u7uxf/9+pKamYmJiwvQarVaL+vp6VFVV4dWrV8jLy0NKSsqS79PPxHdwcMDLly9RWVmJsrIyPHv2bNk5CiGQkZGBmJgYpKam/tbXhmgl6fV69PT0mNacDQ4OoqenB0NDQwgKCsKJEyeQlpaGBw8eYHBwEB0dHdBqtWhsbFzxeDMKCgpw9+5dVFdXY2BgANeuXcPjx49x5syZpQUTRESz9Pf3CwCiubnZ1BcVFSVSUlKEEELo9XohlUrFrVu3TOOTk5PC19dXVFZWCiGEiI6OFufOnTON+/v7i8uXL5vFUSqV4uLFi6bj6OhooVKpTMc/fvwQDg4OIjU11dQ3PDwsAIj29nYhhBDfvn0T9vb24sWLF2ZzazQakZycvOB7nJ3ffPGFECIiIkKcP39+2Tm2trYKiUQilEqlqfX29s7JB4B4+PDhgvkSrbTm5mYBYE5LT08XQkz/TJeUlIiAgAAhlUqFj4+PSExMnPf7dyXizaipqREKhULY2dkJpVIpHj16tORYXHNDRHMEBwcjMjISN2/ehFqtxsDAAFpbW1FWVgZg+kFbU1NT2Lt3r+k1UqkUu3fv/uU9+F/5eT2PtbU13NzcsGPHDlOfl5cXgOmdFQAwMDCAiYkJ7Nu3z2yeyclJhIWF/VZ8YHq300ys5eR48OBB00JJov8narXa7OrsbFKpFKWlpSgtLV2TeDMyMzORmZn5W7FY3BDRvDQaDbKzs3H9+nXodDoEBgYiOjp62fNZWVnN+cU2NTU15zypVGp2LJFIzPokEgmA/+2s0Ov1AIDGxkZs3LjR7LW2trZLznO++LOLk6XmSERri2tuiGhex44dg5WVFW7fvo36+npkZmaa/mgHBgZCJpOhra3NdP7U1BQ6Ozvn7HSY4eHhYbbleWxsDIODg7+dZ0hICGxtbTE0NDRn4ePPW66J6M/BKzdENC+5XI7jx4+juLgYY2NjyMjIMI05ODggKysLBQUFcHV1hZ+fHyorKzExMWHaTTVbTEwMamtrkZCQAGdnZ5SUlMzZYrocjo6OyM/PR15eHoxGI1QqFT5//oy2tjb89ddfSE9P/+0YRPTfwuKGiBak0WhQU1ODAwcOwNfX12ysoqICRqMRqamp+PLlC8LDw/H06VO4uLjMO1dxcTEGBwcRHx8PJycnlJeXr8iVGwAoLy+Hh4cHtFotPnz4AGdnZ+zatQsXLlxYkfmJ6L+FH5xJRH8ktVqN0NDQOc/eWS8LfZAgES0d19wQ0R/rxo0bkMvl6OvrW7ccTp8+bXriKxGtDF65IaI/0qdPn/D161cAgJ+fH2Qy2brkMTIygrGxMQDT284dHBzWJQ8iS8LihoiIiCwKb0sRERGRRWFxQ0RERBaFxQ0RERFZFBY3REREZFFY3BAREZFFYXFDREREFoXFDREREVkUFjdERERkUVjcEBERkUVhcUNEREQW5R/oYqntNnxGgwAAAABJRU5ErkJggg==", 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" ] @@ -443,13 +431,12 @@ } ], "source": [ - "# VOORBEELDUITWERKING\n", - "\n", "def power_law(vol, a, n):\n", " return a * vol**n \n", "\n", - "# we fitten de eerste 20 punten niet mee in verband met de integrator vd druk\n", - "popt, pocv = curve_fit(power_law, volumes[20:], pressures[20:])\n", + "# RUIMTE VOOR VERDERE UITWERKING\n", + "### begin-solution\n", + "popt, pocv = curve_fit(power_law, volumes[20:], pressures[20:], p0=(1e5, -1.5))\n", "\n", "x_fit = volumes\n", "y_fit = power_law(x_fit, *popt)\n", @@ -462,8 +449,7 @@ "plt.plot(x_fit, y_fit, 'r-', label='power law with n = ' + str(popt[1]))\n", "\n", "plt.legend()\n", - "\n", - "plt.show()" + "### end-solution\n" ] }, { @@ -473,14 +459,30 @@ "source": [ "Je ziet dat de exponent van dit P,V-diagram net niet overeenkomt met de ideale verwachting. \n", "\n", - "```{exercise}\n", + "```{exercise} afwijking\n", + ":label: ex-thermostat-05\n", "Het P,V-diagram is niet perfect invers proportioneel door de verandering van de temperatuur. Verklaar dat de temperatuur nooit helemaal terugkeert naar de beginwaarde vanuit de dynamische beweging van de gasmoleculen. \n", "```\n", "\n", + "```{solution} ex-thermostat-05\n", + "# jouw antwoord hier\n", + "### begin-solution\n", + "De hoeveelheid warmte die per tijdseenheid wordt verwijderd uit het beheersvolume is evenredig met de verhouding tussen de temperatuur van het beheersvolume en de gewenste temperatuur. Er is een bepaalde temperatuur waarvoor dit vermogen precies overeenkomt met het vermogen dat de zuiger uitoefent op het gas. Voor lagere zuigersnelheden is dit vermogen lager, maar het wordt nooit nul. \n", + "### end-solution\n", + "```\n", + "\n", "Als je goed kijkt zie je dat de temperatuur voor kleinere volumes een steeds grotere afwijking vertoont. \n", "\n", - "```{exercise}\n", + "```{exercise} falende thermostaat\n", + ":label: ex-thermostat-06\n", "Als je ervan uit kan gaan dat de afvoer van warmte evenredig is met het verschil tussen de starttemperatuur en de actuele temperatuur, verklaar dan waarom de temperatuur toeneemt voor kleine volumes.\n", + "```\n", + "\n", + "```{solution} ex-thermostat-06\n", + "# jouw antwoord hier\n", + "### begin-solution\n", + "Voor kleinere volumes neemt de druk toe (idealiter omgekeerd evenredig met het volume). Dat betekent dat de arbeid per afgelegde afstand ook toeneemt. De temperatuur van het beheersvolume gaat dus omhoog om het uitgaand vermogen evenveel te laten toenemen.\n", + "### end-solution\n", "```" ] }, @@ -489,32 +491,23 @@ "id": "6e9423e0", "metadata": {}, "source": [ - "Al met al lijkt het resultaat van de simulatie er redelijk uit te zien. Maar om een sterke indicatie te hebben dat dit zo is, moeten we weer een goede test verzinnen om de simulatie te verifiëren. In dit geval kunnen we controleren of de simulatie voldoet aan de eerste hoofdwet.\n", + "Al met al lijkt het resultaat van de simulatie er redelijk uit te zien. Maar om een sterke indicatie te hebben dat de simulatie correct is, moeten we weer een goede test verzinnen om de simulatie te verifiëren. In dit geval kunnen we opnieuw controleren of de simulatie voldoet aan de eerste hoofdwet.\n", "\n", - "```{exercise}\n", - "Maak een grafiek die helder zichtbaar maakt dat de simulatie inderdaad voldoet aan de eerste hoofdwet (of niet). Als de code hierboven nog klopt, zijn de tekens voor arbeid en warmte in overeenstemming met de definitie van het boek.\n", + "```{exercise} eerste hoofdwet herhaald\n", + ":label: ex-thermostat-07\n", + "Maak een grafiek die helder zichtbaar maakt dat de simulatie inderdaad voldoet aan de eerste hoofdwet (of niet). Als de code hierboven nog klopt, zijn de tekens voor arbeid en warmte in overeenstemming met de definitie van het boek. Let hierbij vooral goed op je eenheden. Om het jezelf makkelijker te maken kan je de verschillende grootheden onafhankelijk van elkaar plotten en de resultaten controleren, voordat je de definitieve grafiek opstelt. \n", "```" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 20, "id": "37c92be8", "metadata": {}, - "outputs": [], - "source": [ - "### RUIMTE VOOR UITWERKING" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "f946d178", - "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -524,20 +517,22 @@ } ], "source": [ - "## VOORBEELDUITWERKING\n", + "# RUIMTE VOOR UITWERKING\n", "\n", + "### begin-solution\n", "plt.figure()\n", - "plt.xlabel('Volume')\n", - "plt.ylabel('Energy [a.u.]')\n", + "plt.xlabel('Volume [m$^{2}$]')\n", + "plt.ylabel('Energy [J]')\n", "\n", - "energies = int(N) * temperatures + works - heats\n", + "# hier vermenigvuldig ik de temperatuur met k_B om Joules te krijgen\n", + "# works en heats gaan uit van m=1 en moeten met dezelfde massafactor worden behandeld\n", + "# als ik heb gedaan bij het bepalen van de temperatuur \n", + "energies = int(N) * 1.38E-23 * temperatures + 28 * 1.7E-27 * (works - heats) \n", "\n", - "# plt.plot(volumes, heats, '-r')\n", - "# plt.plot(volumes, works, '-b')\n", - "# plt.plot(volumes, int(N) * temperatures, '-y')\n", "plt.plot(volumes, energies, '-g')\n", "\n", - "plt.show()" + "plt.show()\n", + "### end-solution" ] }, { @@ -548,7 +543,17 @@ "In het boek wordt uitgelegd dat er maar twee vormen van energieoverdracht zijn van een systeem naar de omgeving. Dit kan via warmteoverdracht of via arbeid. Bijzonder is dat deze beide grootheden alleen de snelheid van de moleculen beïnvloeden. Toch zullen we in het volgende werkblad zien dat er een fundamenteel verschil zit in de werking van deze twee macroscopische grootheden. \n", "\n", "```{exercise}\n", - "Laat je werkblad door een TA aftekenen\n", + "Laat je werkblad door een TA aftekenen of ga door met de uitbreiding voor een beoordeling excellent.\n", + "```\n", + "\n", + "```{exercise} 🌶 Uitbreiding\n", + "In bovenstaande simulatie zijn de onder- en bovenwand allebei een thermostaat die naar dezelfde temperatuur toewerken. Als we die temperaturen verschillend maken, kunnen we kijken naar de thermische geleiding van het gas. \n", + "\n", + "- Maak nu een nieuwe simulatie met een volume met dezelfde breedte maar vier keer de hoogte, waarin de zuiger stilstaat.\n", + "- Zet de temperatuur van de bovenwand op 150% en die van de onderwand op 50% van de starttemperatuur. \n", + "- Door het warmtecontact via de bovenwand en de onderwand apart te rekenen, kan je zien hoeveel warmte er door het volume heenstroomt.\n", + "- Controller of deze warmtestroom evenredig is met het temperatuurverschil en omgekeerd evenredig met de afstand. \n", + "- Geef de warmtegeleidingscoëfficiënt in W/K van het ideaalgas in je simulatie. (Opmerking: De warmtegeleidingscoëfficiënt wordt normaal gegeven in W/mK, maar in onze tweedimensionale simulatie valt de lengteafhankelijkheid er uit)\n", "```" ] } From c7fcbae1b142d2e09acc3293660548e7efdf8330 Mon Sep 17 00:00:00 2001 From: Roel Smit Date: Mon, 1 Dec 2025 13:08:17 +0100 Subject: [PATCH 3/3] add remark number of particles --- book/Q2/Thermostaat.ipynb | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/book/Q2/Thermostaat.ipynb b/book/Q2/Thermostaat.ipynb index 5ea0418..09a747a 100644 --- a/book/Q2/Thermostaat.ipynb +++ b/book/Q2/Thermostaat.ipynb @@ -549,10 +549,11 @@ "```{exercise} 🌶 Uitbreiding\n", "In bovenstaande simulatie zijn de onder- en bovenwand allebei een thermostaat die naar dezelfde temperatuur toewerken. Als we die temperaturen verschillend maken, kunnen we kijken naar de thermische geleiding van het gas. \n", "\n", - "- Maak nu een nieuwe simulatie met een volume met dezelfde breedte maar vier keer de hoogte, waarin de zuiger stilstaat.\n", + "- Maak nu een nieuwe simulatie met een volume met dezelfde breedte maar vier keer de hoogte, waarin de zuiger stilstaat. \n", + "- Hou de dichtheid van de deeltjes hetzelfde, dus breid het aantal deeltjes uit naar 160. \n", "- Zet de temperatuur van de bovenwand op 150% en die van de onderwand op 50% van de starttemperatuur. \n", "- Door het warmtecontact via de bovenwand en de onderwand apart te rekenen, kan je zien hoeveel warmte er door het volume heenstroomt.\n", - "- Controller of deze warmtestroom evenredig is met het temperatuurverschil en omgekeerd evenredig met de afstand. \n", + "- Controller of deze warmtestroom evenredig is met het temperatuurverschil en omgekeerd evenredig met de afstand. (nogmaals: hou de dichtheid van de deeltjes constant)\n", "- Geef de warmtegeleidingscoëfficiënt in W/K van het ideaalgas in je simulatie. (Opmerking: De warmtegeleidingscoëfficiënt wordt normaal gegeven in W/mK, maar in onze tweedimensionale simulatie valt de lengteafhankelijkheid er uit)\n", "```" ]