From fc1ed02e2de66fbd018f5191a0b3060e9a3703ab Mon Sep 17 00:00:00 2001 From: RisaK Date: Sat, 13 Jul 2024 22:13:41 +0000 Subject: [PATCH 01/21] add venv to gitignore --- .gitignore | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/.gitignore b/.gitignore index d9f45dce..78a93dae 100644 --- a/.gitignore +++ b/.gitignore @@ -1,4 +1,5 @@ __pycache__/ data/ report.html -models/tinyphysics_*.onnx \ No newline at end of file +models/tinyphysics_*.onnx +venv/ \ No newline at end of file From c4b34e0ba0ef691899fd6e438e029afe2caf340b Mon Sep 17 00:00:00 2001 From: RisaK Date: Fri, 26 Jul 2024 06:18:14 +0000 Subject: [PATCH 02/21] experiment feedforward model --- experiment.ipynb | 136 ++++++++++++++++++++++++++++++++++++++++++++++- requirements.txt | 3 +- viz.ipynb | 115 +++++++++++++++++++++++++++++++++++++++ 3 files changed, 252 insertions(+), 2 deletions(-) create mode 100644 viz.ipynb diff --git a/experiment.ipynb b/experiment.ipynb index e883203f..15a39085 100644 --- a/experiment.ipynb +++ b/experiment.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, "outputs": [], "source": [ @@ -11,9 +11,143 @@ "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "\n", + "import pandas as pd\n", + "import numpy as np\n", + "from scipy import signal\n", + "\n", + "ACC_G = 9.81\n", + "\n", "sns.set_theme()\n" ] }, + { + "cell_type": "code", + "execution_count": 443, + "metadata": {}, + "outputs": [], + "source": [ + "datafile = \"data/04568.csv\"\n", + "\n", + "df = pd.read_csv(datafile)\n", + "t = df[\"t\"].to_numpy()[:101]\n", + "vEgo = df[\"vEgo\"].to_numpy()[:101]\n", + "aEgo = df[\"aEgo\"].to_numpy()[:101]\n", + "roll_la = np.sin(df[\"roll\"].to_numpy()[:101]) * ACC_G\n", + "target_la = df[\"targetLateralAcceleration\"].to_numpy()[:101]\n", + "steerCommands = -df[\"steerCommand\"].to_numpy()[:101]\n", + "steer_la = target_la - roll_la" + ] + }, + { + "cell_type": "code", + "execution_count": 444, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "L = 1\n", + "steerAngle = lambda x: x\n", + "\n", + "pred_la = vEgo[1:] ** 2 * np.sin(steerAngle(steerCommands))[:-1] / L\n", + "\n", + "a = np.sum((pred_la - pred_la.mean()) * (steer_la[1:] - steer_la[1:].mean())) / np.sum((pred_la - pred_la.mean()) ** 2)\n", + "b = steer_la[1:].mean() - a * pred_la.mean()\n", + "\n", + "pred_la = pred_la * a + b\n", + "\n", + "plt.plot(t[1:], steer_la[1:])\n", + "plt.plot(t[1:], pred_la, color='orange')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 445, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "ax1.plot(t[1:], np.abs(steer_la[1:] - pred_la))\n", + "ax2 = ax1.twinx()\n", + "ax2.plot(t[1:], np.abs(steerCommands[1:]), color='r')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 446, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t, target_la)\n", + "plt.plot(t, roll_la, color='r')\n", + "plt.plot(t, steerCommands)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 447, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n" + ] + } + ], + "source": [ + "corr = signal.correlate(steer_la[:100] - steer_la[:100].mean(), steerCommands[:100] - steerCommands[:100].mean())\n", + "lags = signal.correlation_lags(100, 100)\n", + "plt.plot(lags, corr)\n", + "plt.show()\n", + "print(lags[np.argmax(corr)])" + ] + }, { "cell_type": "code", "execution_count": null, diff --git a/requirements.txt b/requirements.txt index 96e2b3f0..44508561 100644 --- a/requirements.txt +++ b/requirements.txt @@ -3,4 +3,5 @@ onnxruntime pandas==2.1.2 matplotlib==3.8.1 seaborn==0.13.2 -tqdm \ No newline at end of file +tqdm +scipy \ No newline at end of file diff --git a/viz.ipynb b/viz.ipynb new file mode 100644 index 00000000..55176aca --- /dev/null +++ b/viz.ipynb @@ -0,0 +1,115 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt\n", + "import pandas as pd\n", + "import numpy as np\n", + "from scipy import signal\n", + "\n", + "ACC_G = 9.81" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "datafile = \"data/00041.csv\"\n", + "\n", + "df = pd.read_csv(datafile)\n", + "t = df[\"t\"].to_numpy()[:100]\n", + "vEgo = df[\"vEgo\"].to_numpy()[:100]\n", + "aEgo = df[\"aEgo\"].to_numpy()[:100]\n", + "roll_la = np.sin(df[\"roll\"].to_numpy()[:100]) * ACC_G\n", + "target_la = df[\"targetLateralAcceleration\"].to_numpy()[:100]\n", + "steerCommands = -df[\"steerCommand\"].to_numpy()[:100]" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t, target_la)\n", + "plt.plot(t, roll_la, color='r')\n", + "plt.plot(t, steerCommands, color='black')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1\n" + ] + } + ], + "source": [ + "plt.plot(signal.correlation_lags(100, 100), signal.correlate(target_la - target_la.mean(), steerCommands - steerCommands.mean()))\n", + "plt.show()\n", + "print(signal.correlation_lags(100, 100)[np.argmax(signal.correlate(target_la - target_la.mean(), steerCommands - steerCommands.mean()))])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From f9aa012101eb18c63772c4eab3f65bff35180008 Mon Sep 17 00:00:00 2001 From: RisaK Date: Mon, 29 Jul 2024 11:29:13 -0400 Subject: [PATCH 03/21] testing feedforward model --- controllers/pidf.py | 81 ++++++++++++ experiment.ipynb | 171 ++++++------------------ feedfoward.ipynb | 307 ++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 429 insertions(+), 130 deletions(-) create mode 100644 controllers/pidf.py create mode 100644 feedfoward.ipynb diff --git a/controllers/pidf.py b/controllers/pidf.py new file mode 100644 index 00000000..eb9e3d58 --- /dev/null +++ b/controllers/pidf.py @@ -0,0 +1,81 @@ +from . import BaseController +import numpy as np + +ACC_G = 9.81 + +class Controller(BaseController): + """ + A PIDF controller with bycicle dynamic model feedforward + """ + def __init__(self, p, i, d, f): + self.p = p + self.i = i + self.d = d + self.f = f + self.error_integral = 0 + self.prev_error = 0 + + self.steer_command_history = [] + self.current_la_history = [] + self.state_history = [] + self.beta0 = -0.0769574481921961 + self.beta1 = 0.0027094010571292247 + + def update_fit(self): + ''' + Fit parameters beta0, beta1 of a front steering bycicle model with simple linear regression: + $a_{lat} = \beta_0 + \beta_1 * v^2 * sin(\gamma)$ + where gamma is the steer command. + + beta1 accounts for steer ratio and vehicle length, + as this model assume a linear relationship between steer command and steering angle, + and that we can approximate sin(x) with x with small angles. + + At the same time, L is just another multiplicative coefficient + so we can estimate it and steer ratio together. + + beta0 would account for other factors like vehicle slip, + which we assume to be a constant with small steer angle. + + The parameters of this model can be easily estimated using simple linear regression. + ''' + + commands = np.array(self.steer_command_history) + roll_la = np.array([x[0] for x in self.state_history]) + la = np.array(self.current_la_history) - roll_la + vEgo = np.array([x[1] for x in self.state_history]) + + pred_la = vEgo ** 2 * np.sin(commands) + + print(f'commands: {commands}') + + self.beta1 = np.sum((pred_la - pred_la.mean()) * (la - la.mean())) / np.sum((pred_la - pred_la.mean()) ** 2) + self.beta0 = la.mean() - self.beta1 * pred_la.mean() + + print(f'beta0: {self.beta0}, beta1: {self.beta1}') + + def predict_steer(self, target_steer_la, vEgo): + return np.arcsin((target_steer_la - self.beta0) / self.beta1 / vEgo ** 2) + + def update(self, target_lataccel, current_lataccel, state, future_plan): + # Update state history + if self.steer_command_history: + self.current_la_history.append(current_lataccel) + # if len(self.current_la_history) > 2: + # self.update_fit() + self.state_history.append(state) + + # Feedforward + target_steer_la = target_lataccel - state[0] + pred_steer = self.predict_steer(target_steer_la, state[1]) + + # PID Feedback + error = (target_lataccel - current_lataccel) + self.error_integral += error + error_diff = error - self.prev_error + self.prev_error = error + + command = self.f * pred_steer + self.p * error + self.i * self.error_integral + self.d * error_diff + self.steer_command_history.append(command) + + return command \ No newline at end of file diff --git a/experiment.ipynb b/experiment.ipynb index 15a39085..49a10cec 100644 --- a/experiment.ipynb +++ b/experiment.ipynb @@ -2,18 +2,25 @@ "cells": [ { "cell_type": "code", - "execution_count": 32, + "execution_count": 1, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/risak/controls_challenge/venv/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", + " from .autonotebook import tqdm as notebook_tqdm\n" + ] + } + ], "source": [ "from tinyphysics import TinyPhysicsModel, TinyPhysicsSimulator, CONTROL_START_IDX\n", - "from controllers import pid\n", + "from controllers import pid, pidf\n", "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "\n", - "import pandas as pd\n", "import numpy as np\n", - "from scipy import signal\n", "\n", "ACC_G = 9.81\n", "\n", @@ -22,167 +29,73 @@ }, { "cell_type": "code", - "execution_count": 443, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "datafile = \"data/04568.csv\"\n", - "\n", - "df = pd.read_csv(datafile)\n", - "t = df[\"t\"].to_numpy()[:101]\n", - "vEgo = df[\"vEgo\"].to_numpy()[:101]\n", - "aEgo = df[\"aEgo\"].to_numpy()[:101]\n", - "roll_la = np.sin(df[\"roll\"].to_numpy()[:101]) * ACC_G\n", - "target_la = df[\"targetLateralAcceleration\"].to_numpy()[:101]\n", - "steerCommands = -df[\"steerCommand\"].to_numpy()[:101]\n", - "steer_la = target_la - roll_la" - ] - }, - { - "cell_type": "code", - "execution_count": 444, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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NsrO9UbmXz5d62OPfnDUKf0OYRcu2s3TDfk6f1P/wN6jsBYCHajxRqilZHamtJfrU1vGjto4vtXf8JLKtYx5sfD4fNTU1hxyvrq4mMzMz1m9/CMuy8fvrO3UPh8PE50vF728gErEOe85po3uyaNl2Pty4n517KslIcx9yjjOUTgYQriulprKuUzUlq7a0tUSH2jp+1NbxpfaOn1i1tc+X2uanQDEPNoMHDz5kLE1NTQ1lZWWHjL2Jl3A4Oo0diVhHvFevnDQG9Mxgx/4alqzdxzkn9Tv0JDMLACNYEbWaktXR2lqiS20dP2rr+FJ7x08i2zrmnWDTp0/n/fffx+/3txxbtGgRpmkybdq0WL99Qp06uqmraen6fYd93XblABo8LCIiEi0xDzZz5szB6/Uyd+5clixZwvPPP8/dd9/NnDlzWq1hc9VVV3HOOee0unb9+vUsWrSIxYsXA7B27VoWLVrEhx9+GOuyo2LyyAKcDoOdpbXsLDm0O655VpQZqQXr2Csxi4iIyNHFvCsqMzOTRx99lDvuuIO5c+fi9Xq5/PLLmTdvXqvzLMsiEom0Ovb444/z4osvtnz88MMPA3DyySfz2GOPxbr0TktPdTHuhDxWfFLKknX7+No5Ga1et52Z2JgYWJihCixPzwRVKiIikhwM27btRBcRT5GIRUVF5wbqOp0m2dleKivrjtmHuK6onHueXUt6qov/u2Eazi8Mfsp9ZxBmqJyKKcu0+vBhtKetpXPU1vGjto4vtXf8xKqtc3K8bR48rEn9MTZqUDaZ6W5qG0Ks3XrgkNdbuqNCFfEuTUREJOko2MSYwzQ55cSmLqYl6w4dRPzZAGIFGxERkc5SsImD5tlR64srqK4NtHrNcjU/sdHMKBERkc5SsImDXrleCnv7sGybZRtLWr1mHXxio64oERGRzlOwiZNpY5qe2nywcX+r4y1dUUEFGxERkc5SsImTkQObAsy+ino+PxHts8HD6ooSERHpLAWbOMlO9wAQClvUNYZbjmvwsIiISPQo2MSJy2niS3MBUOFvbDmuMTYiIiLRo2ATR1kZTU9tKms+mxnVPCvKCKorSkREpLMUbOIoJyMFgMrPTfm29cRGREQkahRs4ii7+YmN/3NPbNwHx9iEq8EKH/Y6ERERaRsFmzjKPkxXlO3MBsDAxghXJaIsERGRpKFgE0efBZvPBg9jOrGcWU3/qe4oERGRTlGwiaOcg8Gmoqb1tgq26+BTGwUbERGRTlGwiaNs38HBw18INi2L9GlmlIiISKco2MRR8yJ9jcEIDYHPBgprLRsREZHoULCJI4/bQZrHCbTujtLqwyIiItGhYBNn2b6mpzZVh1mkT/tFiYiIdI6CTZxltwwg/mxmlHb4FhERiQ4FmzjLOey2ChpjIyIiEg0KNnGWnXHozKiWWVHqihIREekUBZs4O+zqwxo8LCIiEhUKNnHWMsbGr64oERGRaFOwibPDbatgH5wVZYQqwLYTUpeIiEgyULCJs+bBw3WNYYKhCPC5Hb7tSNMu3yIiItIhCjZxlupx4nE5AKisPdgdZXqwHV4ADA0gFhER6TAFmzgzDOOz7ij/4Rbp0zgbERGRjlKwSYDDzYxqGUCsRfpEREQ6TMEmAXIOu/pwNqCuKBERkc5QsEmArMM9sXGrK0pERKSzFGwS4HDbKmiRPhERkc5TsEmA5m0VKjTGRkREJKoUbBLg8IOH1RUlIiLSWQo2CZDtawo2NXVBwhELUFeUiIhINCjYJEBGqgunw8AGqg4u0te8+rB2+BYREek4BZsEaLVI38HuqFb7RYmIiEiHKNgkSHZ662DTaodvbYQpIiLSIXEJNkVFRVxzzTWMGzeOadOmcffddxMMBo95nW3bPPjgg5xxxhmMGTOGr371q6xZsyb2BcdBtu/gzCh/62BjWAGI1CWsLhERke4s5sGmurqaq666ilAoxPz585k3bx7PPPMMd9111zGvfeihh7jvvvu4+uqr+ctf/kJeXh7XXnstu3btinXZMXfIzCiHF9tsOqaZUSIiIh3jjPUbPPXUU9TV1XH//feTlZUFQCQS4fbbb+f666+noKDgsNcFAgH+8pe/cO2113L11VcDMHHiRM4//3z+9re/cdttt8W69Jj6LNgc3FbBMLBcOTgC+zBDFVip/RNYnYiISPcU8yc2ixcvZurUqS2hBmDmzJlYlsXSpUuPeN2qVauora1l5syZLcfcbjfnnHMOixcvjmXJcXH01Yc1M0pERKQjYh5siouLGTx4cKtjPp+PvLw8iouLj3odcMi1hYWF7N27l8bGxsNd1m00rz5cWXuYRfq0+rCIiEiHxLwryu/34/P5DjmemZlJdXX1Ua9zu914PJ5Wx30+H7ZtU11dTUpKSodqcjo7l+ccDrPV3x2Rl50KQFVNENM0ME0DPE1PbJxWJZFO1pgsotHW0jZq6/hRW8eX2jt+ukJbxzzYdDWmaZCd7Y3KvXy+1I5fm5mGaRpYlg1OB9mZqZDeNN4ozawhLUo1JovOtLW0j9o6ftTW8aX2jp9EtnXMg43P56OmpuaQ49XV1WRmZh71umAwSCAQaPXUxu/3YxjGUa89Gsuy8fvrO3RtM4fDxOdLxe9vIHJwS4SOyPK6qagJsG1XJaZlkWL7SAUaa/bTUKkp3xC9tpZjU1vHj9o6vtTe8ROrtvb5Utv8FCjmwWbw4MGHjKWpqamhrKzskPEzX7wOYNu2bQwfPrzleHFxMb179+5wNxRAOBydxo5ErE7dKzvDQ0VNgANVDQwoyCDiyG56IVAetRqTRWfbWtpObR0/auv4UnvHTyLbOuadYNOnT+f999/H7/e3HFu0aBGmaTJt2rQjXjdhwgTS09N59dVXW46FQiH+85//MH369JjWHC/Ni/Qt31SKZdufrT4c1KwoERGRjoh5sJkzZw5er5e5c+eyZMkSnn/+ee6++27mzJnTag2bq666inPOOaflY4/Hw/XXX8/DDz/Mo48+yrJly/jRj35EVVUV3/rWt2JddlycNb4PDtNgxSelPPnGlpZZUUaoMsGViYiIdE8x74rKzMzk0Ucf5Y477mDu3Ll4vV4uv/xy5s2b1+o8y7KIRCKtjn3nO9/Btm0efvhhKioqGDFiBH/729/o169frMuOi+EDsvnWrBE8+MrHvLlyN4M9jVyEVh4WERHpKMO2j68dFyMRi4qKzg3MdTpNsrO9VFbWRaUP8c2Vu3n89U/p5dnHgyd+D9tM48BZ+8AwOn3v7i7abS1HpraOH7V1fKm94ydWbZ2T423z4GFN6u8CZkzsy8WnDqI8mENDJAXDqsdd/nqiyxIREel2FGy6iIumDeS08YW8WnY+AM5P74Lj62GaiIhIpynYdBGGYXDFOSewyX0lQcuFt24FzoruvyeWiIhIPCnYdCGmYXDJedN4s6Jpdlhow28SXJGIiEj3omDTxeRnpVI/8EbCtoP84DIC+4+8A7qIiIi0pmDTBZ1y8sl8WNf01KZhzR0JrkZERKT7ULDpgpwOE+/4m4nYJic43mf7JxprIyIi0hYKNl1U74Hj2GKc2/TBprsIhCJHv0BEREQUbLqyzIm3ADDRu5Rl77+d4GpERES6PgWbLsyZM4b9KedgGjbZ+/9CQyCc6JJERES6NAWbLs498gcATM18j/dWbU1wNSIiIl2bgk0XF8k5jTpHH7yOeqo+fZagxtqIiIgckYJNV2eYWP2/CcC09Nd4b92+BBckIiLSdSnYdAPBPl8HYEzGej5a+SHhiHanFRERORwFm27ASh1AIOs0TMNmguc1PthYkuiSREREuiQFm24i0OcbAMzIfYtXP9iGZWnnbxERkS9SsOkmAgUXYznS6ekpITe4gpWfliW6JBERkS5Hwaa7cKQR6HkZAGfnvskrS7cTCmuGlIiIyOcp2HQjjb2bBhFPy3mf8vIy7np8FZU1gQRXJSIi0nUo2HQj4czJhNOGkGIGODP/A7btq+FXj3zE1j3ViS5NRESkS3AmugBpB8OgsffXSd96O1cOW87ayJfYU1bH3U+s4hvnDmP8CT2oqg1SVRugqiZAKGKR6XWTme4hK91NpteDy6ksKyIiyUvBppsJ9LoC79Y78NZ+wK2z83jwjTRWflrGI69+wiOvHvv6mZP7M/vMIbEvVEREJAH063s3Y6X0JpQ1FQBf1SK+9+UTueTUQThMA4CMNBf98tMZPTiXCUPzKOzjo0dmCk5H0+uvfbiLkor6hNUvIiISS3pi0w0F82fhrlqKu3QhDf3/i4tOHcR5k/vjMA2cjsNnVdu2ufe5dawrKuflpdv5zoUj41y1iIhI7OmJTTcUyJsFgKtqKUawHACPy3HEUANgGAYXnzoIgA8+3s++8rrYFyoiIhJnCjbdkJU2iHD6KAw7gvvAa22+blAvH+OG9MC24ZWl22NXoIiISIIo2HRTzU9tPGUL23Vd81Ob5R+XsPeAntqIiBxPbNtmfXE5e5L4+7+CTTcVzP8SAO4Db0Ckoc3XDeiZwYShedjAy0u3xag6ERHpavaV1/G7J1fzh2fW8odn1mDbybnnoIJNNxXOGEskpS+GVY+74p12Xdv81OajTaXsLquNQXUiItJVhMIWLy3Zxv88/CGf7KwCoMIfoNzfmNjCYkTBprsyDIJ5FwDgLv13uy7tl5/OpGEHn9os0VMbEZFktWN/Df/z8Ie8tGQb4YjNiYNzKMhJA2D7vpoEVxcbCjbdWCCvqTvKU7YQ7PZtiHnRqYMwgBWby/TURkQkCTUGw8x/YR37K+rxed189+JRzJs9lhH9swAo3udPbIExomDTjYWyp2E5szBDB3BWfdiua/vmpTN+aB4AS9bti0V5IiKSQC8v2U6FP0CuL4Vff2cyJ48owDAMBvXyAbBdwUa6HNNFMO88ADxl7euOAjh1dC8APvi4hIhlRbU0ERFJnF2ltfzno10AfOPcoXhTXC2vtQSb/TVYVvINIFaw6eaap327SxdAO0e4nzg4h/RUF/66IB9vr4xFeSIiEmeWbfOPRZ9g2TYTh+UxdkiPVq/36pGG22XSGIywLwm32FGw6eZCuTOwTQ/OhmIcdZvbda3TYTJ5RAEAyzbsj0V5IiISZ4vX7qVorx+P28EVM0445HWHaTKwIANIzu4oBZtuznZmEMw5AwBP6cvtvn7KiU3BZtWnZTQEwtEsTURE4sxfF+S5t4sA+PJpg8nxpRz2vIEHu6OScQCxgk0SCBRcAkDqjvsxAqXtunZwLx8F2akEwxarPi2LQXUiIhIvT7+1hfpAmP4F6cyY2OeI5w3unbwDiOMSbN566y0uuugiRo8ezXnnncfzzz9/zGuCwSB33303X//61xk3bhzDhg2joqIiDtV2P4GeXyWUMQYzXEX65v9u17WGYTD1xJ4ALNuo7igRke6qaE81yzaWYABXnjcch3nkH/HNT2x2ltQSCifX5JGYB5sVK1Zwww03MG7cOB566CFmzpzJL37xCxYtWnTU6xobG3n22WfxeDxMnDgx1mV2b6aT2pHzsTFJKXked1nbN8YEmDKqKdhs2l5JZU0gFhWKiEiMLfpwJwCnjO7Z8kTmSPIyU0hPdRGx7KRbyyzmweaBBx5gzJgx/OpXv2LKlCnceOONzJo1i/vuu++o1/l8Pj788EMefvhhZs2aFesyu72wbzwN/f8LgPRPboJw279Q87NSGdI3E5umzTFFRKR7Ka1qaBlOcP7J/Y95vmEYDOzVNIB4W5J1R8U02ASDQZYvX87555/f6vgFF1xAUVERu3fvPur1hmHEsrykUzfkF0RSBuBo3IW36I52XXvKwac272t2lIhIt/PGR7uw7aZlPPrkpbfpmkE9m57qbNurYNNmO3fuJBQKMXjw4FbHCwsLASguLo7l2x9/HF5qRvwBgNSdf8ZZvaLNl540Ih+nw2B3WS27SmsJhiKs2XqAvy/cxB2PfsRfF3zMmyt3s22fP+n6Y0VEurO6xhDvHVxB/ryTjv20ptmgg91V2/Yn155RzljevLq6GmjqVvq85o+bX483p7Nzec7hMFv93ZXYPc8l0PurePY+je/j/6LuxPlEsqbAMZ5+ZaZ7GDukBys3l/HAvzZQWRMgEPps/6lt+2panuY4HQbDB2Rz/uQBjB6cE9Mna125rZON2jp+1NbxleztvWTdPgKhCP3y0xkzJLfN35NP6JsJwL4DdYQiFqmezkeCrtDW7f4sampqKC099pTifv36daigWDNNg+xsb1Tu5fOlRuU+UTdlPvz7DRy1n+D74BzwDoJB34CB3wDf0CNedt7UgazcXMb+gytR9shMYcqJvRgxKIfdpbV8urOST3dWUVMfZENxBRuKKxjQM4NLTh/C6RP64HI6YvYpddm2TkJq6/hRW8dXMrZ3KGzxxsqmYR2XnnkCOTlt64YCyM720iMrlQNVDZTXhhjdMzNqdSWyrdsdbBYtWsQtt9xyzPMWLlxIZmZTI9XUtH7M5fc39ec1vx5PlmXj93duCWmHw8TnS8XvbyAS6YrdMmmYJ71KyrZ7ce9/CaNuG2y4AzbcQTDvfBpG/g4rbdAhVw3t7eOS0wZh2zBhWB4De2a0JP/RA7OZeXI/bNtmf0U9b63aw7ur97Bjfw33Pr2aR/+9kasvGMGEgxtrRkvXb+vkobaOH7V1fCVze7+/fh/l1Y1kprsZMyibysq6dl0/qGcGB6oaWLu5hL65nQ8jsWprny+1zU+B2h1sZs+ezezZs9t0bjAYxOVyUVxczGmnndZyvHlszRfH3sRLOEpjRCIRK2r3irrU4QRHPgDDfo+n9N949j+Nu/xN3GWLcL33DvWDfkT9wBvB9LS67KJpnwWeSMQGDt1/Ki8zla+eOYQLpw7g3TV7eX3FLqpqg9z7zFouPX0wF0wZEPXuqS7d1klGbR0/auv4Srb2tm2bhR/sAOCsCX0xaP/PtwE9M/jok1KK9lRHtW0S2dYx7QRzu91MnjyZ115rva7KwoULKSwspG/fvrF8ewFwpBHoNRv/+OeonPohwZwzMKxGvEW/JnvZFFzlb3X41mkpLmZOGcDd3zuFGRP6YgPPv1vMQ698TPBz43NERCT6Nu+sYmdJLW6nyZnjj7zK8NE07/S9bV/yDCCO+eie733ve6xZs4bbbruN5cuXc99997FgwQK+//3vtzpv5MiR3Hzzza2OvfvuuyxatIgNGzYA8Pbbb7No0SK2bt0a67KTUsR7AtUTXsI/+mEi7gKc9UVkrvoyrsqlnbqv02Hy9XOH8s3zhuEwDT74uIT/fWI1VbVa7E9EJFZeX7ELgGmje5Ge6urQPQb2zMAAyv2N+OuCUawucWIebCZNmsT8+fNZuXIl3/rWt1iwYAF33nknM2fObHVeJBLBslo/trr99tv54Q9/yOOPPw7AzTffzA9/+ENeffXVWJedvAyDQM/LqTxlBYEeMzGwSdn116jc+szxfbjpq+PwpjjZts/Pr/+xgrrGUFTuLSIin7Ftm807qwA4bWyvDt8n1eOkZ24akDwbYsZ0unezGTNmMGPGjKOes3nz5kOOvfVWx7tJ5OhsVyb1hT/Dc+BVPGULqA1VYbuyOn3fEQOy+eVVk/j902soq2rk+XeLufK8YZ0vWEREWlTWBKgPhDENgz492j4T6nCG9MlkX3k9T7z+KT1z0uiZkxalKhMjOSf1S5uEM8YRTh+JYQXwlLwQtfvmZ6dx7QUjAHh39R6K9iZmvSIRkWS1u6xp9lPP3DRcnVyb7aJpg8jPTuVAdSO//edKtu9v+5ObcMTi011VvLxkG3c9vorv/u4d/r0ksYvvxuWJjXRRhkFjr6+TvuUXpOx9nMa+10bt1sP6Z3PKiT15f8N+Hlu0mV9ePemoO82KiEjb7Tm4cWXfvM6vy5abmcLPvzGRPzyzhp0ltfzvE6v5/qWjGTkwB4DquiCbd1ZSvNdPXUOI+kCYhkCY+kCYkoqGVou5AoStQ2fTxpOCzXGusddX8G69FVf1RzjqPiXiPfICfu31lTOHsHbrAXaW1vLWyj2cc1LXXLRRRKS7ad6Ru637Qh1LptfNf39tAve/sJ5NOyq559m1nDyigG37/OwrP/rab+mpLkYMyGbEgGxGF+YyvDCv3evpRJOCzXHO9hQQzD0Hz4FFpOx9groTbovavX1eN5edUcg/Fm3mhfeKmTQ8n+wMz7EvFBGRo2ruiorGE5tmqR4nN84ey0OvbGTF5rKWbXQMoF9+Oif0yyI7w0Oqx0mqx0Gax0lORgq987yYB9cu6+yWRdGgYCM09v4GngOL8Ox7krohvwQjelsjTB/bm6Xr9lG018+Tb3zKf315dNTuLSJyPApHLPaVNweb6DyxaeZymnz34hN5dfkO/HUhhvXPYmi/rA5PJ0+ExEcrSbhg3vlYrhwcgX2dWrDvcEzD4JvnDcM0DFZsLmN9cXlU7y8icrwpqWwgHLHxuB3kZqZE/f6maTBr6kCuOPsEJgzN61ahBhRsBMB009izaZuMlL2PR/32/QsymDGxaZXpNw9u1iYiIh2zu/SzgcNmlLevSQYKNgJAoPfXAfCU/RsjVBn1+08ZVQDAlt3VWHZiR8yLiHRnu1tmREW3GypZKNgIAOGMsYTTRzWtabM/emvaNOtfkI7H5aAhEGZvWeJGy4uIdHd7ymIzviZZKNhIE8Og8eBTm5R9T0T99g7TpLBP02ZrW3ZXRf3+IiLHi91RXMMmGSnYSItAz8sBcFV/hBEoifr9T+ibBTR1R4mISPs1BMIcqG4EoreGTbJRsJEWlqcnoYzxALjL34j6/U/omwnoiY2ISEftOdDUDZWV7u52s5XiRcFGWgnmnQuAp+y1qN97cG8fpmFQ7g9QfvA3DhERaTsNHD42BRtpJdjjPABcFW+BFYrqvVPcTvoXNP1j3LKnKqr3FhE5Huwp1cDhY1GwkVbCvglYrh6YYT+uqmVRv7/G2YiIdNyulj2iNHD4SBRspDXDJNjjHADcB6LfHdUyzmaXgo2ISHvYtt2yq3e/fD2xORIFGzlEc3dULIPNnrJa6huj29UlIpLMqmqD1DWGMQ2DXrl6YnMkCjZyiGDuWdiGA2fdp5j126J678x0D/nZqdjA1j3+qN5bRCSZNQ8cLshJxdUFdtHuqtQycgjblUUoayoA7gP/ifr9Ne1bRKT9NCOqbRRs5LCau6M8MemOygI0gFhEpD12t8yIUjfU0SjYyGG1TPuufA8i0d3bqfmJzbZ9fkJhK6r3FhFJVnv0xKZNFGzksCLeYURS+mNYAdwVi6N67545aaSnugiFLXaU1ET13iIiyShiWewtb/ols49mRB2Vgo0cnmEQ7NG0CnG0x9kYhqFxNiIi7bC/ooFwxMbjctAjMyXR5XRpCjZyRK2mfdt2VO89tF8WoPVsRETaYs/ndvQ2DSPB1XRtzkQXIF1XMGc6tpmKo3E36Zt+ALaNEanFiNQR8Q6lof8NWCm9OnTvzwYQV7FpewWhiE0kYmHZMKx/ljZ3ExH5nOZuey3Md2wKNnJkjlSCOafjObCI1D2Ptn7twGuk7nqIhr7XUj9wHranoF237l+QjttpUtcY5ndPrWn1WqbXzQ2XjqawT2YnPwERkeSwc39TsBnQMyPBlXR9CjZyVLXDfkvEOwwMJ7bTi+VIB9NNyr6ncFV9QNrOP5G6++809Ps29YN+gu3KatN9nQ6TC6cNZMn6/ThNA6fDxOkwqKoNUO4P8L9PrObqmcOYPq5PbD9BEZEuzrZttivYtJmCjRyVlVZI3dA7Djne2OcaXBVv4y36Na7qj0jbMR9PyUv4Rz9MOOvkNt171tSBzJo6sNWxhkCYvy74mNVbDvDXBZvYW17PdZeOjcanIiLSLZX7G6lrDOMwDfr0UFfUsWjwsHSMYRDKPYuqk96gevxzRFIH4mjcSdaK80ndfg/YHVufJtXjZO6lo/nSKQMAWLhsB3c+vFzr3YjIcWvHwac1ffK82kqhDdRC0jkHp4VXTn6PxoJLMeww6VtuJXP1ZRjBsg7d0jQMLp1eyHcvHoXLabJiUwnvrd0b5cJFRLqH5oHDAwrUDdUWCjYSFbYrk5rRf6dmxHxsMxV3+Ztkf3BapzbRPHlEAZedXgjA0vX7olWqiEi3smN/01TvgRpf0yYKNhI9hkFj36uonPwO4bQTcAT2krXqEoxASYdvecqJPTGNpn2lSirro1isiEjXZ9s2O/b7AeivYNMmCjYSdZH0EVRP+nfTuJuGbWStuhQjVNWhe2VleBg3NB+AZRv2R7FKEZGur6o2iL8+hGkY9NMeUW2iYCMxYXl6UjXhRSx3Ps7a9fjWzIFIQ4fudeakfgAs27gfO8orIIuIdGXbDz6t6d0jDbfLkeBqugcFG4kZK62QqgkvYDl9uKvex7f+GrDC7b7PlBN7kuJ2UFbVyNY92oJBRI4fzTOiYj5wONIY2/vHkYKNxFQkYwz+cU9jmyl4yhbi3Xpbu++R4nZy0vCm7qj31R0lIseRHTFemM9s2EHmyovp8VZP3GWvxuQ94k3BRmIulD0N/4l/BSB15wOY9cXtvse00U17Un20qZRQOBLV+kREuqqWqd7RDja2RcrOv5CzbAruircxsEjdcX903yNB4hJs3nrrLS666CJGjx7Neeedx/PPP3/Ma9atW8fPf/5zzjnnHMaOHcu5557L73//e+rrNTOmOwoWXEQwdwaGHcK79fZ2Xz98YDY5Pg/1gTBrt5bHoEIRka6lujZAVW0QA+ifH71g46jbSuaKC8jY/BOMSB2hzEkAuCqXYDbuidr7JErMg82KFSu44YYbGDduHA899BAzZ87kF7/4BYsWLTrqda+++io7duzg29/+Ng8++CBXXXUVzzzzDN/97ndjXbLESO0Jd2BjkFLyIs6qD9t1rWkYTBnZE1B3lIgcH5qf1vTMTcPjjs7AYad/LdnLT8Nd9T62w0vN8P9H1UlvEMqaioGNZ/8LUXmfRIr5XlEPPPAAY8aM4Ve/+hUAU6ZMYdeuXdx3332cf/75R7zuO9/5Djk5OS0fT548GZ/Px49//GM2bNjAiSeeGOvSJcoiGSfS2PvrpO79J+lbbqFq0mtgGG2+fuqJPVn4wQ7WF5fjrw/iS3PHsFoRkcRqHl8TrYX5jGAZvrVXHHxKMxn/6L9ipTZtX9PYczauqmV49j9Lw8DvR+X9EiWmT2yCwSDLly8/JMBccMEFFBUVsXv37iNe+/lQ02zkyJEAlJaWRrdQiZv6wluwzVRcVR/gLlvQrmv79PAyoGcGEcvmo036GhCR5LY9mjOirCCZa7+Bo3E34bRCqsc/0xJqAAIFX8Y2nLhq1uCo+7Tz75dAMQ02O3fuJBQKMXjw4FbHCwublskvLm7fINKVK1cCHHI/6T6slN7UD5gLgHfLrWCF2nX9KSc2dUe9t3av1rQRkaS2M1oDh22b9E9+gqtqGZbT1zRT1ZXd+hR3LsHcGQB49j3TufdLsJh2RVVXN6054vP5Wh1v/rj59baoqKhg/vz5zJgxg4EDB3aqLmcnd0d1OMxWf0v7BAtvInXPIzjri/Due4TAgOuPeO4X2/rUMb144d1idpbWsnrrAU4eURCXmo8H+rqOH7V1fHXH9q6pD1LuDwAwuE9mp35ueXY8SOqev2NjUDf27xiZww/7wz/U56t4DrxGSslzBIf9sl1DBZp1hbZud7CpqalpU1dQv379OlTQ4YRCIW666SYAbrvttk7dyzQNsrO9UagKfL7UqNzn+OOFMbfDirmkFf2WtFHXgevoS4U3t3V2tpdLzxzCk//ZzAvvFjNj8kCc3eibVXegr+v4UVvHV3dq722ldQD07uGld8/Mjt+o5B3Y9FMAjHG/JWPYpUc+N+MrsOEGHPXFZFsbocfkDr9tItu63cFm0aJF3HLLLcc8b+HChWRmNv3PqKmpafWa39+0RHTz60dj2zY333wz69at44knniA/P7+9JbdiWTZ+f+emjDscJj5fKn5/A5GI1al7Hbdyv4Yv9X9xNOyktujfhAq+dNjTDtfWZ4ztxYIlxew9UMdLb2/hrIl941l50tLXdfyoreOrO7b3hi1lAPTPT6eysq5D9zBClfiWfA3TDhPo9RXqe86FY9wrLf9LePY9Q+PmR2lwtH+STqza2udLbfNToHYHm9mzZzN79uw2nRsMBnG5XBQXF3Paaae1HG8eW9OWsTL/+7//y6uvvspDDz3E8OHD21vuYYXD0WnsSMSK2r2OPw6COWeTuudhzANLCOdecNSzP9/WLofJhacM5Ik3tvDi4mImjyiI2lRI0dd1PKmt46s7tfe2vU1DNfoVpHe45owNP8IM7COcNgT/iPsgYgNHH5vYWHA5nn3P4N73PDVDfg1mx0asJLKtY/oM3+12M3nyZF577bVWxxcuXEhhYSF9+x79N+0HH3yQRx55hLvuuoupU6fGslRJgFD2KQC4qt5v97VnjO9Dj8wUquuC/GfFrmiXJiKSUM1r2Azs4Iwod8lLpOx/BhuTmlF/Bkdam64L5s7AcuVgBktxVS7u0HsnWswHJ3zve99jzZo13HbbbSxfvpz77ruPBQsW8P3vt54nP3LkSG6++eaWj1955RV+//vfc+GFF9K3b1/WrFnT8qeioiLWZUscNAcbZ81ajHDNMc5uzekwufT0pid+r36wg5r6YNTrExFJhEAoQllV06aUffOPPv7wcIxgGRmbbgSgYeA8wlknt/1i00Wg4MsApLRldlS4FlfFElK330fGuqvIWHIK7Hy23TVHU8wX6Js0aRLz58/nnnvu4bnnnqN3797ceeedzJw5s9V5kUgEy/rssdXSpUsBePnll3n55Zdbnfvb3/6WSy89ygAo6RaslL5EUgfiaNiOs/pDQgenGrbVySMKWLR8JztLalnw/g6uOPuEGFUqIhI/JRVN40C9KU4y2rsQqW2T8fEPMUPlhNNPpK7wZ+1+/8aeXyF199/w7HsKI1xFY99rm6aCG01d/mbjHjwlL+IpeQFn9SoMvtDlVLkGMo4+vCCWYh5sAGbMmMGMGUf/obV58+ZWH991113cddddsSxLuoBQ1lQcDdtxVS5td7AxDYPLzyjk/55ey1urdnP6uN707hGdGW8iIomy/2Cw6Znbtu6jz/PsfxpP2QJsw4X/xL+A6Wn3PcJZk2nsNYeUfU/hKVuIp2whkZQBBAouxlX9Ea6qZa3Oj3j6EM6cSMg3ATtnEhmFM6Gqod3vGy1xCTYiRxLKnkbKvidxVbZ/nA3AqIE5jByYzcfbK/nNYyu57qJRjCnMjXKVIiLx0xJsctoXbIxAKemf/ASA+sE/I5IxumMFGCY1Jz5I/aAfk7L776TsfRxH4w7SdtzXckooayqNBZcSzP8SVkqfluNOpwlGYpfgULCRhAplHRxAXL0CIo3gSGnX9YZh8J0vjeT+F9dTtMfPvc+u5ZLpg5k1dQBmBxaXEhFJtI4Gm5SS5zHD1YTTR1M/cF6n64h4h1I37LfUDbkVT8mLuMvfIuwbR6Dgy63CTFejlc0koSJphUTcBRh2EJd/ZYfukZnu4adXTOCMcb2xgRcXF/PHF9bTEAhHt1gRkTgo6WCwcZctBKCx9xUdnqZ9WI5UAr2/Rs3ov9Iw4IYuHWpAwUYSzTAIZU8DwFW5tMO3cTlNrjx/OFfPHI7TYbB6ywHu/McK9hzo2MJWIiKJYNt2h57YGKFKXJVLAAjkJW7gblegYCMJ17KeTSeCTbPpY3vz31+fQHaGh33l9dz56AqWf1zS6fuKiMSDvy5IQyCCYUB+dtuDjfvAfzDsCGHvCKy043ujaAUbSbhQ1sEnNtUfgtX57qPC3pn8z9UnMWJANoFQhL+8vJEnXv+UcDdZSl1Ejl/NT2t6ZKbgasfGl83dUIH8WTGpqztRsJGEi6SPwHJmYUTqcNasjco9fV43P/rqOGZNHQDAGyt3879PrKKyJhCV+4uIxMK+lm6odixdYQVwH3gDgOBx3g0FCjbSFRjm57qjOjbt+3BM0+Cy0wv5wWVjSPU4Kdrj5zePrWRfucbdiEjXtL+8/eNrXBXvYUZqiLh7EvZNiFVp3YaCjXQJLd1RVZ0fZ/NF407owf9cPYmCnDTK/Y389p+rKDq4wZyISFfSkcX5PGX/BiCYNzPha8h0BWoB6RJaPbGxoz8WJj87jZ9/YwKDemVQ2xDid0+uZl3Rgai/j4hIZ7R7RpRt4y57FVA3VDMFG+kSwhljsR1ezHAVjtpNMXkPX5qbn1wxnhMH5xAMWdz33HqWrNsXk/cSEWmvcMTiwMHNL9sabJz+1TgCe7EdXoI5p8eyvG5DwUa6BtNJKLNpB9pYdEc1S3E7+cFlYzjlxJ5Yts3DCzfx9qrdMXs/EZG2Kq1swLJtPG4HWelt2/zS3dwNlXt2u1duT1YKNtJlNC/Ul7755+S+M4ic907E995J8M4szJqPo/Y+TofJt2aN4NyT+gHw2H8+5c2VCjciklif74Yy2rgljKd5mre6oVoo2EiXEci/CNtMxbBDmKFyHI07m7ql9i7Et+xMPPufi9p7GYbBV88awvmT+wPw+Ouf8vqKXVG7v4hIe7V3fI3ZsB1n7UZsw0Ew77xYltataBNM6TIi6cM5cEYxZvAARqSuaV0bu56MnfdglLyJb/211Fd9SN3QO8Fs22PaozEMg9lnFOIwDf69bAdPvrEF27I59+T+UfhsRETap73BpvlpTSjrFGxXTszq6m70xEa6FocXK3UAkfSRhDNPItzjTDjzNRoKfwxA2q4/k7ViFmbj3qi8nWEYXDp9MF86ZSAAT721lXfX7InKvUVE2qO9wcZd2jzNW91Qn6dgI12f6aBx6G1Uj30Ky5mJq3o5matng21H5faGYfDl0wa1hJtn3i7CXx+Myr1FRNqqPYvzmQ27Ptv0Mv/CmNbV3SjYSLcRzL+AysnvYDnScdaux1XxdtTubRgGl5w6iP4F6TQEwrz03rao3VtE5FhqG0LUNoSAtgWblP1PY2ATzD4NK1Xd55+nYCPdipVWSGPvrwOQuvPPUb23aRpcMeMEAN5Zs4fdpbVRvb+IyJE0d0NlZ3jwuB1HP9m28ex9AoDG3l+LdWndjoKNdDuN/a4DwH3gNcz6oqjee1j/bCYNy8O24ck3t2BHqbtLRORo2tMN5az+CGf9VmwzjWD+RbEurdtRsJFuJ+I9gUDuORjYpO56KOr3n33mEJwOg007Klm7tTzq9xcR+aL27BGVsu9JAAIFF2E7M2JaV3ekYCPdUkP/7wKQsvefGOGaqN47LyuVc09q6rN++q0thCPR37tKROTz2jwjKtKIZ//zADT2uiLWZXVLCjbSLYVyZxBOG4IZ9uM5+NtLNM2aOgCf101JZQNvaVViEYmx5mDT6xjBxn3gVcxwFRFPH0I50+NRWrejYCPdk2HS0O96AFJ3/iXqO4KnepxcOn0wAC8t3d4yW0FEJNosy6a0sinYFBwj2KTsPdgN1WsOGMcYZHycUrCRbivQ+2tYjgyc9Vtwlb8V9fufOroXffK8NATCLNuwP+r3FxEBOFDdQDhi43SY5PqOvJGlESjFXf46oNlQR6NgI92W7cygsc83AEjdFd2p39A0/fuMcX0AeG/dXs2QEpGYaO6GKshJxTSPvPllyv5nMOwIocxJRLwnxKu8bkfBRrq1hn7XYWPgOfAfHHVbon7/KaMKcDpMdpfVsX1/dAcpi4gA7GvjVO/mbqjGXnpaczQKNtKtWWmFBHs07WqbvvknUdtmoZk3xcWk4XkALF4bnf2pREQ+b8O2CgAG9fId8RxHzXqcteuxDTeBnpfGq7RuScFGur26oXdimym4y98iZfffon7/08b0BmD5xyUEgpGo319Ejl/1jSE+2VEJwISheUc8z1PyIgDBvPO0k/cxKNhItxfxDqXuhNsASP/0lhisRpxFXlYKjcEIKzaXRvXeInJ8W7u1nIhl0yfPe9SuKE/ZQkAbXraFgo0khYZ+3yWYPR3Dqse34btgR+/JimkYnHrwqY26o0QkmlZ+WgbAxKM8rTHrt+Gs/RjbcBDscW68Suu2FGwkORgmNaP+hOXIwFW9nNTt90X19qeO7oVhwJbd1ewrr4vqvUXk+BQIRthQ3LRty1G7oQ4+rQllTVM3VBso2EjSsFL7Uzv8bgC8RXfiqNkQtXtnZ3gYPTgXgCXr9kXtviJy/NqwrZxg2CIvK4V++elHPM99MNgE82bGq7RuTcFGkkqg19cI5F2AYYfIXHMF7pIXo7YqcfMg4qXr92n/KBHptM+6ofIxjMOvX2OEKnBVvQ9AIH9W3GrrzhRsJLkYBjUj7iPi6YOjcQeZ664ia/l03GWLOj0VfOyQXHxpLvz1IdYVaddvEem4cMRi7dYDAEwYduRuKPeB/2DYEcLpo7BSB8apuu5NwUaSju3Jp3LqB9QN/lnTmJuadWSu+QpZH52L+8B/OhxwnA6TU0b3AuDZd4rYe0BjbUSkYzbtqKQhECEz3c3g3kdev8ZTenA2lLqh2kzBRpKS7cqkvvBmKk5dR/2AH2Kbqbiql5O5+nKyPzgFz94nwWr/xpZnT+xLZrqbkop67nh0BR98rD2kpJuwLbACGOEajGA5RrAMIg1RX9RS2mbl5qZuqAlD8zCP0A2FFcBV/gYAwTx1Q7WVMx5v8tZbb3HPPfewbds2evfuzXXXXcdll1121Gt27drFnXfeyaZNm6isrCQzM5MJEyYwb948Bg0aFI+yJQnY7lzqht5Bw4C5pG6/j5Q9j+Cs3Yhv4/VEiu6gof9cGvpeC47UNt0vx5fCbVefxF9e3sgnO6t48OWP2bKrmjkzTsDl1O8JEie2jRkswVH3KY76rZiBUoxQBWa4EiNYgRmuwgjXYkTqMCI1GOE6DDt4+FsZLmxnBrbTh+XKxUrpRySlL1ZKHyIp/YikDcRKHYTtzIjzJ5m8LMtm9ZZjT/N2VSzGjNQS8fQi7Bsfr/K6vZgHmxUrVnDDDTdw+eWXc/PNN/PBBx/wi1/8Aq/Xy/nnn3/E6+rq6ujRowc33XQTvXr1oqysjL/85S9ceeWVvPTSS+TkaMqbtJ3l6UndsN9QP/inpOx+mLSdf8LRuJv0T39O6o751A/6CY19vgmm+5j3ykz38OM54/nXkmIWvL+Dt1fvYds+Pz+aMw5viisOn40cV2wbR/1WnNUf4qr6EGftehx1WzDD1VG5vWGHMEIVEKrA0bAd/CsPe57l6kEkbSCRlP5YngIsd8+mvz0F2K4eWK4cLHcOmGlwpCcQAsCW3VXU1IfwpjgZ2i/riOc1T/MO9pgJhn5xaivDjvGWxd/61reoq6vjqaeeajn2ox/9iE2bNrFw4cJ23Wv79u2cd955/L//9/+48MKOrb4YiVhUVHRubITTaZKd7aWyso5wWLNjYilmbR1pJGXfk6Rt+384Gnc1HUodSN3gnxHo9VUwHG26zbqiAzz0ysfUNYaZMbEvXz9naPRqjDN9XcdPS1tX1BJprMIIHcAMHsAMlmEGSjCDJZiBEhyNu3D6V2GGKg65h41JJHUgEe8JWJ5e2K4cLFcOtisby5WF7UjHdqZjOzKa/jZTwXRhG24wXYDR9EQnXHPwTzVmsBRH4y7Mxt2YjbtxNOzA0bD9sO9/JLaZguXugeXOx3IXYHl6YnnysTy9Doahngf/Ow/MuHQadLmv7Sfe+JQ3Vuxm2uiefGvWyMOfZNvkvDccR2Af1eOf6zYL88WqrXNyvDgcbQt3Mf2qCgaDLF++nB//+Metjl9wwQUsWLCA3bt307dv3zbfLysrC4BQqP1jI0RacaTQ2PcaGnt/jZTdjzQFnIbt+DZ+l/D2e6gb8j8E8y445m+eYwp78F+XnMjvnlrD26v2cOb4PvTu4Y3TJyFdXqQRd/mbeEpfwWzcjWE1YEQaMKxGsOvIaiw/YhfR59mmh7BvPKHMyYQyJxDxDieSNhhMT6fKa+qCOnYXkxGqbgo4DdtwNO45GLz2t4QwI1iOGapoevpjNeJo3I2jcfex399wYTvSmkKXIxXLmYXtzm7qEnPlYLt7HAxHBZ8LSQVt/sWjK2oIhFvG10wcmn/E85z+1TgC+7Ac6QRzTo9XeUkhpsFm586dhEIhBg8e3Op4YWEhAMXFxccMNpZlEYlEKCkp4Q9/+AO9evXinHPOiVnNcpwxPTT2v57GPt8kdddDpG3/P5x1n5C59gpCmZOpO+F2QtmnHPUWIwbmMG5ID9ZsPcAzb2/lxtlj41S8dEmRRtzlr+MpeRF32SLMSO0RT22OzbbDi+Xq0fSkw9Pz4A/xfCxPT8IZowlnjG1TN2ms2K5Mwq6x4DvK17ZtY0Rqm8b6BMswA6WYwYPhJ1By8L/3NQWiYCmGHWkKQuFqoKlbrS1xxTZTCXuHE8kYSTh9VNMf3wRsV2ZUPtdY8tcF+b9n1lBZEyAjzcXIgdlHPNdd9m8AQrkzOh1gjzcxDTbV1U1frD5f66lszR83v340P/3pT3nllVcA6N+/P3//+9/JyOjcIDZnJwd5Nj8Oa+tjMem4uLW1M53QkHn4B1yDZ9s9pGz7I67q5WStOJ9g/izqxjwIR/nG+bVzh7K+uJx1ReV8vKOSMYW5sa03BvR13Qm2jaN6Je49/8S99znMcFXLS1ZKH4I9LyGcOREcadiONExXGl5fDjUhL2FHzjEHr8enwyYKXJmQkgkMwgKO2BFhRzBCVRBpxLDqMSINEKnDDFVhBCswQuVNg6CDZRjNwSiwHyNYimE14KpZjatm9We3wyCSMYpw9hQiWVMIZ03CShvcMi6lK3xtH6hq4H+fWE1JRT0ZaS5+8rXxpKUeYUyeFSKl9CUAwj2/1OmfWfHUFdq63f9eampqKC099g7H/fr161BBX/TDH/6QK6+8kn379vHoo49yzTXX8MQTT9C7d+8O3c80DbKzo9NV4PO1bSaNdF782toL+b+D0fNgw6+g6K+4S/+Ne/VlcOYicB8+3GRne7nwtMH8690inn5rK6eO79ttA4K+rtvItqBqHex9FbY9Bv5Nn72W1hf6fwX6z8bMPZmUIwz8PL7nGR157ZYjsiJQWwRV65v+VK+HitUYddtw1mzAWbMBdv616VxHGmSNPvhnLDguwufrH91PoY127vfz68dWUl7dSF52Kndcfwp98o68hQKr/xvqPgWXD+/Qy/C6u1/3diK/j7R78PCzzz7LLbfccszzFi5ciG3bzJo1i7/+9a+cdtppLa81DwJ+6KGHmD59epvfu6GhgXPPPZdzzjmHW2+9tT1lt4hELPz+hg5d28zhMPH5UvH7G4hoaf2YSnRbO6rXkP7RRZihCsKZJ1Fz0r+O+OSmrjHET/74PrUNIa48fxhnT4pOuI+XRLd1l2dbmPVFOCuW4Sp/C2f5O5jBA5+9bKYQ7HkxwT7fIJx7+lFnsaito8to3I+z6gOclU1/HDXrMazAF88inDeDxj5XEsqfBY7Yd+9Yts3KzWU8/O9N1DWE6NPDy0++Np4cX8oRr3GWLiJj5eUA1I7/J6Gel8S8zmiK1de2z5cau8HDs2fPZvbs2W06NxgM4nK5KC4ubhVsiouLAQ4Ze3MsqampFBYWsmPHjnZd90XRGqkdiVhdYoT98SBRbR32jiE88WWyVl6Is/oj0j+6mOrxLx62P9/jdHDJaYP4538+5YV3izl5eD5p3XD6t76uAdvCUV+E078Sp38tTv8anDXrMCM1rU9zeAlmn0owbxaBgi9/9nURgaN0xLRQW0eJM59Qj4ugx0VNH1thHA3FOGs24KjdgLtqGa7KpTjL3iC97A0sVw6BnpcRzD2HYM5p4DjyExGzcR9O/0pc1Stx1KzDSulHMG9m04Bex+EDSsSy+HBTKQuX7WDPwRXKB/XyMe8rY0lPdR3x/7nZsAvvuu8AUN/vehp6XATd9OsjkV/bMe26dbvdTJ48mddee42rrrqq5fjChQspLCxs14wogNraWjZv3sx5550X7VJFjiiSMYaqia+QtfJCXNUryFx1CdUT/nXYcHP6uN68tWoPew/U8fLS7cyZcUICKpZ2i9ThrlyKs+oDXNUrcfpXtxon08w2UwhnjCGYczqh3LMIZZ6U0EG9cgSmk4h3KBHvUOBSgk6TbOd+Gj7+C+7dj+MI7CV110Ok7noI23ATyp5KMOcMMBwt43mqDuwkJbiNLMeBQ26fuufhplCbO4NA3kwafdMoCeZTWtnA3gN1vLN6D6VVTT0DqR4HZ03oy6ypA0hxH+VHrhXCt/4azFAlId946obeGZu2OQ7EfB2bFStWcOWVV/KVr3yFmTNnsnz5cv70pz/xhz/8gZkzP9v7YuTIkVxyySX85je/AWD+/PnU1NQwYcIEcnJy2LNnD4899hg7duzgueee6/Dqw1rHpnvpSm3tqFlP1sovYYYqCeacTvWElw7b3bC+uJw/PLMWl9Pkd987BZ+3e/zg60ptHXO2jbNmHa7yN3FXvI2rctkh065t00M4Ywwh3wTCvnGEM8YR8Q6Lytorx1VbdwGt2jsUwl3+Ju7ShbjL38TRePQegIhtsrOhP5/WncCOwCAGefcwMf0DclytN8ItC/ZgY81IPq4dwce1I6gwCjnnpAGcNaEvaSnH/prxfnoLaTvuw3JmUjnlvW674WXSr2MDMGnSJObPn88999zDc889R+/evbnzzjtbhRqASCSCZX3WCCNHjuSRRx7hpZdeor6+noKCAk466STuvffeqA1MFmmPSMZoqiYuIPvDc3BXvEvqzj/RMOCGQ847cVAOg3v7KN7r542Vu7h0emECqpXDMeu3kbLvaTz7n8ZZX9TqtUhKf4I50wlnTiLsm0g4feTBhewkqRgOgj3ObVrw7uCqzq7yN3FVLQPTTVljFq+vD1ERzKR3/xHUeEZRVB9mR0kN9YHwwZt8m8K0IqZkfsj4zNUUphWT5z7AGbmLOSN3MQCWw0c45SRCeyYTypzYtEKzMwvbmYntzMAIHsBVvQKnfwWu6pW4K94GoGbUn7ptqOkqYv7EpqvRE5vupSu2dcruh8nYdCO24aZyymIi6YeuHLpycxl/fHE9aR4nv/uvU0j1dP0Ju12xraPBbNiF+8CrpOx/DlfVBy3HbTONYO4ZBHPPIpRzJpG0IXHbCiBZ27qramt776+o59f/WEFdY5iTR+Rz/UWjMA5+Tdi2TXl1Iw3BCJZlE7YsLMvGMAzy0iPkhtc1jeWpWoar+iOMyJF/ztiYGIcZg1U/8EbqTvhV5z/hBDountiIJJvGPtfgLnsVz4HX8K3/NpWT3z5kAa3xQ3vQMyeN/RX1vLtmL+dPTsw00+OSbeH0r2z6f1S2CGfths9ewiSUczqNveYQyL8QnEeZcivHldqGEPc8u5a6xjCFvX18a9aIllADYBgGPbKOPIU5zBmEc89o+sAK46zdiLN6Oa6q5Thr1mGEqpo2J7UCGFhNa+94hxPKnEQ4cyKhzJOIZIyO8Wd5fFCwEWkvw6Bm5P24lk3BWbsBb9GvD/ktyzQMzp/cn0de/YTXV+zi7El9cXbTdW26BSuMq+p9PKUv4S5dgCOwr+UlG5Nw1mQCeV8i0PNyrJReCSw0/oKhCFt2V3OgugF/XRB/fQh/XZD6xhDWwef1zQ/uTdPA5TBxOs2mvx0mToeBwzRxOAwcDgPTML7wYMvAm+IkPdVFRpqL9FQ3WelusjI8mN1kM8xQ2OKPL6yntLKBXF8KN1w2BpezE9s2mE7CvrGEfWNp7Hdd69cijZjhKmyHVzumx4iCjUgH2J4CakbOJ3Pt10jdfi/B3HMJ5Zza6pypo3ryr/eKqawJsGzjfk4b07FFJeUI7Aiuivfw7H8OT9mCVhs1Wo4Mgj3OJtjjfII9zsV2d7+VoDvjQFUDa4vKWV9czqYdlYQS0N3ldJjkZ6eSn5VKj6wUgiGL6toA1XVBquuC1DeGMU0Dh2l89rfRFJ4cBz/2uB30zvXSLz/94J+MNg3EbY9AMML9L65n864qUtwOfjh7DJmxHPDvSMFy9Izd/UXBRqSjgvlfoqH3N0nd+xgZG6+jfsAPCGeeRDhjNJhuXE6Tc07qx7NvF7Fo+U6mje7VbX6D7bLsCM7qFXj2P0dKyYuYwc9WQbdcOQTyvkQw/0KCuWccV/vrhCMWW3ZXs76onLVFB9hXXt/q9ewMD/3z0/F53U1/0tx4U51NX48GGDQ9hYlYNqGwRfjgGiShiEUkYhO2bCIRi4hlY1mth2Vatk19IExNfYja+hC1DUGqaoOEIxZ7D9Sx90DnxjQW7fG3+rhPDy9jCnMZU5jLkL6ZOMyOPwmta2zqfira48ftMrnh0tH0PdqKwNItKNiIdELdsLtwV76Ho2E7GZt/CjRPEx5HY+8rOGPsN1nw/g72ldezZssBJgzNS3DF3USkoWkX6cbdOOo+aVouv3YDztpNGNZnK4dbrhwC+ZcQ6HkpoaxTojIVu7toCIRZu/UAqz4tY+P2ChoCkZbXTMNgSN/MpgAwOJc+ed5W40ViLWJZVPgDlFY2UFpZT1l1Ix6Xg8x0N1leD5npbrwpTmyblrAUafljtXxc1xhmV2ktu0tr2VVaQ7k/wJ4Ddew5UMery3eS5nEyrH8WpmEQCEVoDEUIBiNkZXiYNCyfCUN7HHGRzOraAL9/eg27y+pI8zi58StjGdKn62+kKcemWVEdoBkN8dMd2toM7Cdl9yMHp21+hBmqbHktkDeLxyt/wovLqyjs7ePmb06M6w+Y9khUW5uN+3BVLsZV8S4u/1rMwJ5W3UpfZDkyCOZfQKDgcoK5Z3XLKdkdbev6xhArN5ex8tMyPt5eQTjy2bfvjDQXowc3PckYNSgHbzdc9fpYahtCbNxWwbqiA6wvrqC2IXTU850Og9GDc5k8soB+vTOpqw1g2zbhsMWjizZTWtVAptfNj746jr75elITDV1hVpSCTQd0hx+2yaLbtbVtYzYU4yl9Be/WOzHsICF3H3654QdsrBnGdReNZMrIrtm/Hre2tkK4KpfgKfs3rop3cdZtPuxptplGJKUPEe8JhNNHEc4YTSR9FJG0wWB0YmBnF9CRtv7ok1Iee21zqx/mPXPSmDgsj3En9GBQL99x1dVpWTbF+/xs2+vH6TBwuxx4XA7cLgfb9/tZ/nHJIV1yX9QjM4UfXzGe/KPMdpL2UbBJAAWb7qU7t7XTv4aMdVfjbCjGwsFje67g+f2XcunpQ7hgyoAu9+Qmqm1thTAi9WAHmzYjtAI4azbgKVuAu+y1VtsV2BiEM8YRyj2dUNZUIin9sVL6YDsz47auTLy1p61r6oM8/vqnfLipaTxRQU4ap4wqYMKwfPr06H67PseLbdvsKavjw09K2LitkrBlEw5HWrq+euV6uXrmcLIzjp+xWPHQFYLN8dMhLRJnYd84qqa8R/qmG0nZ/yxX9fknA1N3cM/iH7D3QB1XzxzeuSmlXUWkEWfNWpz+1bj8q3H6V+Oo24zBkX9nslw9COTPItjjXELZ07BdOXEsuPtY9WkZ/1j0Cf76EKZhMGvqAC6cNlBLB7SBYRj0zU+nb346Xzmr+/6CJO2nYCMSQ7Yzg5oT/0oo53TSN93I6Tnv4XPW8NtN/83dVQ3ccGmMp5bGkKNmI6l7/o5n39OY4eojnmcbbmzTg+UpINjjfAL5FxLOOrnbdyfFUsSyePqtrbyxYjcAvXt4+dasEQzq5UtwZSJdn4KNSKwZBo19riTi6U3mum8y3reG3w67lVu33MKvHgkw98ujGdw7AT+wIvVguNo++Na2MQP7cFW8Teruv+Oq/rDlJcudR8g3kbBvfNOfjLFY7hww3EnbnRQr9Y1h/vzSBjZsaxpAPXNyfy45bVByPN0TiQMFG5E4CfU4m6qJr5C5ejaFaVv4/cib+dWnP+OuxwN87exhnD6ud8zH3ZgNu5rGuZQuwFW5FNuRRjhrCsGc07HyTofMUyDkx1G/DzNYhhEswVm7Cad/NU7/GhzBkpZ72YaTYN4sGvpeTSjnzMPudC7tU1JZz33PrWNfeT1ul8m3Z41k0vD8RJcl0q1o8HAHdOcBrd1NMra1o24Lmau+jKNxJwD1kVT2NPYmkDKE/oUTMFLysV3ZWK4cbFc2kZS+nVs5N1JHyp5/krL3CVw1q49+rmGCfeR2tjGJpI8k0PNSGnt/A8vTNWd4JZJt29Q2hEhPdR0xqH7x6zoQjLBhWwWPvLqJusYw2RkefnDZGAb01JL70ZCM30e6Kg0eFjkORbwnUHXS62Rs+BauyvdJczRwgrcIKILtrx3+mpQBhH3jCWVOOPj3ZHCkHPV9jGAZqTv/Quruh1rW1rExCGdNIZB/IYG8CzAidbgr3sVV8R7uqqUY4aZVXi1HBpYnH9udTyR1ECHfeMK+cU2rKjvSotoeySRiWfzl5Y9Z8UkpPq+bwb18DO7d9MfndRMKW4TCB1fwNStZ92kpn+6qYldJLdbB3zEH9fLx/ctGk5Wu2ToiHaEnNh2g9B8/Sd/WVgBH/Tb2bV/FurXLyDH2kpdax/BeNm6rCiNU0ar7p+UyRwbBvPMI5F9MsMfZ4PCCFTy4Su96XJXvk7L/WQyrEYBI6iDq+3+PQMGl2J7Dd204HTbZnmoqG1II20cPTXIoy7L564KP+eDjQ/9/tUV2hoeJQ/O4/IxC3C6Np4mmpP8+0oXoiY3I8c70EEkfTv6Jwxnf71LufnIVZTsb6VmWxn9/fQKZXjdGqKppOnX1qqbp1FUf4AjuJ2X/c6Tsfw7bTCWSOhBH/RYMO9zq9iHfROoH/pBg/oXHnoVkOMDbD4J1oG/+7WLZNo8u+oQPPi7BYRpcf9EostI9FO+tblpEbp+fxmAEl9PE5XTgdpqkp7np0yONwt6ZnNA3kxyfwqRINOiJTQco/cfP8dbWB6obuOvxVVT4A/TJ8/LTK8aTkfaF6eC21bQRZOnLeEpfxtGwveUly5lFOGMM4YwTCeZf2LR/UhsHJB9vbR0ttm3zxOtbeHPVbgwDvnvxiZx0jAG/auv4UnvHj57YiEgrPTJT+ckV47nr8VXsKavj90+v4adXjG+9kZ9hEs46mXDWydSdcAfOmnWYgX2E00dhpfTV9Oo4sm2b594pago1wLdmjThmqBGR2NL8TJEupiA7jZ/MGU9GmoudJbX84Zm1hMKRw59sGIR9YwnmnY+V2k+hJs7eWrWHV5c3zW775vnDOOXEXgmuSEQUbES6oN49vPx4zni8KU6K9vp56q2tiS5JvuDj7RU8+cYWAC4/o5AzxvVJcEUiAgo2Il1Wv/x0rrtoFABvr9rDh5s6NttGoq+0sp4H/rUBy7aZOqonMyf3T3RJInKQgo1IFzZ6cC6zpg4A4JFXP6Gkoj7BFUlDIMx9z6+nrjHMoF4+rp45rMvt1C5yPFOwEeniLjltEEP7ZdEYjPCnf2048ngbiTnLsnnw5Y3sPVBHVrqbGy4drT2cRLoYBRuRLs5hmlx/0Sgy0lzsKq1tGdch8RUIRfjHa5+wtqgcp8Pk+5eNITtDqwOLdDWa7i3SDWRnePjOhSP5w9NreWfNXgzT4NTRvRjYM6NVN0hjMMyG4oqWnaHTU12kp7rwpjrpl5/OwJ4J2EU8CWzeWcnfX/2E0soGAK65YDiDeqktRboiBRuRbuLEQblcOG0gLy/dztur9vD2qj3kZ6cyeUQBuZkprNlygI3bKwgdZVGsay8YwaljNCW5rRqDYZ5/p5g3V+0GmgLmlecNY+yQHgmuTESORMFGpBu5+NRBDOrlY9nG/azZcoDSygZeeX97q3Pys1IZd0IP0jxOahtD1DWEKKtuZOvuah5//VNO6JtJQY42sjwS27bZU1bHis2lLF2/j3J/AIDpY3vzlTOHkJaib5siXZn+hYp0I4ZhMHZID8YO6UFjMMzqLQf48OMSahtDjB6Uy4ShefTJ8x4yS8eybf7fk6v5ZGcVD76ykZ9/YyLONi5PfjywbZudJbWs2FzKik9KKTnY5QSQ60vh6guGM2pgTgIrFJG2UrAR6aZS3E6mjurJ1FE9j3muaRh8+0sj+Z+HP2TbvhpeWrKNy04vjEOVXVdzmPnwkxJWfFJKWVVjy2tOh8mJg3KYNDyPiUPz8bg180mku1CwETlO5PhSuOr84fzpXxtYuGwHIwfmMGJAdqLLirtwxGLJun0sWr6T0qrPnsy4nSajC3OZNCyfMYW5pHr07VGkO9K/XJHjyKTh+Zw2phfvrdvHXxd8zO3Xnkx6quvYFyYBy7b58OMS/vXetpZA43aajCnMZdLwfMYW9tCTGZEkoGAjcpy54uwT+HRXFSWVDfzhmTVcNG0QowtzE11WTK0rOsBz7xSxu6wOAF+ai1mnDGT6mN4KMyJJRsFG5DiT4nZy3UWj+N8nVrFtXw33PreOnjlpnD+5P7OmJ9e4m+q6IE+8/ikffVIKQJrHycwp/Tl7Yj8FGpEkZdi2bSe6iHiKRCwqKuo6dQ+n0yQ720tlZR3ho6wZIp2nto6dCn8jb6zczbtr9tIQCANNC/qNHZLL6MG5jBqUgzelqZvKXxdk47YK1m8rZ8f+GvKyUulfkMGAggwGFKSTm5nSpfZLsm2bZRv38+QbW6hrDGMaBuec1JcvnTKw5XNKJH1dx5faO35i1dY5OV4cbZzJqWDTAfpHEj9q69hrCIRZsn4fb6zYTdnnBtOahsGQPj6CYYsd+2s42jeKXrlpXH/RKPoXZMS+4KOwbZvt+2t48b1iNhQ3rb7cPz+day4YwYCeia3t8/R1HV9q7/hRsEkABZvuRW0dP6ZpsLeqkaWrd7NmywH2HGj976R/fjqjC3Mp7JNJeXUjO0pq2Lm/hj0H6ohYNi6nyTfOGcppY3vHvfbKmgDLNu5n6fp97Ctv2gHd6TC5+NSBnHdy/y63Zo++ruNL7R0/XSHYaIyNiABNwWZ0YQ/65qRy2emFHKhqYOP2CpwOk1GDcshKP/yGj7UNIf664GPWFZXz91c/Ycvuar5+7lA8rtiOYQlHLNZsOcDidXvZuK2C5l/RXE6TCUPzuGjaQHrlemNag4h0PXEJNm+99Rb33HMP27Zto3fv3lx33XVcdtll7brHf/3Xf/Hmm2/y05/+lG9961sxqlREmvXISuX0cX2OeV56qosfXD6GVz/YwQuLi1myfh/b9/s5cVAuoYhFKGwRjlg0BiPUNjRt8VDbEKIhEKawTyYzJvZl3JAemGbbxuiUVNazeO1elq7bh78+1HL8hL6ZTBvdi0nD8rXtgchxLOb/+lesWMENN9zA5Zdfzs0338wHH3zAL37xC7xeL+eff36b7vHuu++ydu3aGFcqIh1lGgazpg5kcO9M/vLSBnaX1bVMrT6aTTsq2bSjklxfCmdN6MNpY3sfdl0dy7ZZX1TOGyt3s/HgzuUAmV43p47pxaljelGQrf2vRCQOweaBBx5gzJgx/OpXvwJgypQp7Nq1i/vuu69NwSYYDPLrX/+am266iZtvvjnW5YpIJ4wYkM3/XHMy76zeQyhs4XQauBwmTqeJx+UgPdWFN9VFeooLh8Pgg40lLF67l3J/I8++U8QLi4vpm59OYW8fhX0yGVCQwcZtFby5ajelB/dvMoATB+dy+rjejCnM7XLjZ0QksWIabILBIMuXL+fHP/5xq+MXXHABCxYsYPfu3fTt2/eo9/jb3/6Gz+fj0ksvVbAR6QayMzx8efrgNp17+RnpXDRtIMs/LuHNlbvZWVrLjv017Nhfw1ur9rQ6N9XjZPrYXpw1oS95WamxKF1EkkBMg83OnTsJhUIMHtz6m1xhYdMiYMXFxUcNNnv37uXBBx/k73//e1TXyHA6O/cbXvPI7LaO0JaOU1vHT6La2uk0OXNiX86c2JcD1Y1s3V3F1j3VbN1dzY79NfTMSeOck/pxyuiepLiTY+yMvq7jS+0dP12hrWP6XaK6uhoAn8/X6njzx82vH8lvf/tbzjnnHMaNGxe1mkzTIDs7OjMlfD791hgvauv4SWRbZ2d7OWHgZ9s7WJbd5kHF3ZG+ruNL7R0/iWzrdgebmpoaSktLj3lev379OlRQsyVLlrBkyRIWLVrUqft8kWXZ+P31nbqHw2Hi86Xi9zcQiWhNhFhSW8eP2jp+1NbxpfaOn1i1tc+XGrt1bBYtWsQtt9xyzPMWLlxIZmYm0BSGPs/v9wO0vH44d955J1deeSWpqakt5wMEAgH8fv8hT4HaI1qLBkUilhZ7ihO1dfyoreNHbR1fau/4SWRbtzvYzJ49m9mzZ7fp3GAwiMvlori4mNNOO63leHFxMcAhY28+b9u2bfz5z3/mz3/+c6vj9957L/feey/r1q3D4zn8gmEiIiJyfIrpGBu3283kyZN57bXXuOqqq1qOL1y4kMLCwqMOHP7HP/5xyLErr7ySOXPmcMEFF+ByJX4jOxEREelaYj7F4Hvf+x5XXnklt912GzNnzmT58uUsWLCAP/zhD63OGzlyJJdccgm/+c1vAJg8efJh79e/f/8jviYiIiLHt5gHm0mTJjF//nzuuecennvuOXr37s2dd97JzJkzW50XiUSwLPV9ioiISMfFZVGIGTNmMGPGjKOes3nz5mPepy3niIiIyPFLqxWJiIhI0lCwERERkaShYCMiIiJJQ8FGREREkoaCjYiIiCQNBRsRERFJGgo2IiIikjQM27btRBcRT7ZtY1md/5QdDlO7xMaJ2jp+1Nbxo7aOL7V3/MSirU3TwDCMNp173AUbERERSV7qihIREZGkoWAjIiIiSUPBRkRERJKGgo2IiIgkDQUbERERSRoKNiIiIpI0FGxEREQkaSjYiIiISNJQsBEREZGkoWAjIiIiSUPBRkRERJKGgo2IiIgkDQWbdigqKuKaa65h3LhxTJs2jbvvvptgMJjospLSq6++yve+9z2mT5/OuHHjuPjii3nuuefQnq2xVVdXx/Tp0xk2bBjr169PdDlJ68UXX+SSSy5h9OjRTJ48mW9/+9s0NjYmuqyk8+abbzJ79mzGjx/Pqaeeyg9/+EN27dqV6LK6vR07dnDrrbdy8cUXM3LkSL70pS8d9rxnn32W8847j9GjR3PRRRfx9ttvx6U+Z1zeJQlUV1dz1VVXMXDgQObPn09JSQl33XUXjY2N3HrrrYkuL+k88sgj9OnTh5/97GdkZ2fz/vvv88tf/pL9+/dzww03JLq8pPWnP/2JSCSS6DKS2gMPPMBDDz3Ed7/7XcaNG0dlZSXLli1Tu0fZ8uXLueGGG7jkkkuYN28eVVVV3HvvvVx77bW88sorpKSkJLrEbmvLli28++67jB07FsuyDvsL57///W9++ctf8t3vfpcpU6awcOFCbrjhBh5//HHGjRsX2wJtaZM///nP9rhx4+zKysqWY0899ZQ9YsQIe//+/YkrLEmVl5cfcuyWW26xJ0yYYEcikQRUlPy2bt1qjxs3zn7yySftoUOH2uvWrUt0SUmnqKjIHjlypP3OO+8kupSk98tf/tI+66yzbMuyWo4tW7bMHjp0qP3RRx8lsLLu7/Pfg//7v//bnjVr1iHnnHvuufZNN93U6thXv/pV+9vf/nbM61NXVBstXryYqVOnkpWV1XJs5syZWJbF0qVLE1dYksrJyTnk2IgRI6itraW+vj4BFSW/O++8kzlz5jBo0KBEl5K0XnjhBfr27cvpp5+e6FKSXjgcxuv1YhhGy7GMjAwAdWl3kmkePTrs2rWL7du3M3PmzFbHL7jgApYtWxbzIRwKNm1UXFzM4MGDWx3z+Xzk5eVRXFycoKqOLytXrqSgoID09PREl5J0Fi1axKeffsrcuXMTXUpSW7t2LUOHDuVPf/oTU6dO5cQTT2TOnDmsXbs20aUlnUsvvZSioiIef/xxampq2LVrF//3f//HyJEjmTBhQqLLS2rNPxO/+EtSYWEhoVAo5uOcFGzayO/34/P5DjmemZlJdXV1Aio6vqxYsYKFCxdy7bXXJrqUpNPQ0MBdd93FvHnzFBpjrKysjCVLlvDSSy/xP//zP/zxj3/EMAyuvfZaysvLE11eUpk0aRL3338/v//975k0aRJnn3025eXlPPTQQzgcjkSXl9SafyZ+8Wdm88ex/pmpYCNd3v79+5k3bx6TJ0/myiuvTHQ5SeeBBx4gNzeXyy67LNGlJD3btqmvr+fee+/l/PPP5/TTT+eBBx7Atm3++c9/Jrq8pLJq1Sp++tOf8pWvfIVHH32Ue++9F8uyuO666zQDLclpVlQb+Xw+ampqDjleXV1NZmZmAio6Pvj9fr7zne+QlZXF/Pnzj9m3K+2zZ88eHn74Yf74xz+2fH03j2Gqr6+nrq4Or9ebyBKTis/nIysri+HDh7ccy8rKYuTIkWzdujWBlSWfO++8kylTpvCzn/2s5di4ceM444wzeOmll/jqV7+awOqSW/PPxJqaGvLy8lqO+/3+Vq/HioJNGw0ePPiQsTQ1NTWUlZUdMvZGoqOxsZHrr7+empoann766ZaBfxI9u3fvJhQKcd111x3y2pVXXsnYsWN55plnElBZchoyZAg7d+487GuBQCDO1SS3oqIiZsyY0epYz549yc7OPuL/A4mO5p+JXxybWlxcjMvlol+/fjF9fwWbNpo+fTp//vOfW421WbRoEaZpMm3atARXl3zC4TA33ngjxcXFPP744xQUFCS6pKQ0YsQI/vGPf7Q6tmnTJn77299y++23M3r06ARVlpzOPPNMXnjhBTZt2sSIESMAqKysZOPGjVx99dWJLS7J9O7dm48//rjVsT179lBZWUmfPn0SVNXxoV+/fgwcOJBFixZx9tlntxxfuHAhU6dOxe12x/T9FWzaaM6cOTz22GPMnTuX66+/npKSEu6++27mzJmjH7oxcPvtt/P222/zs5/9jNraWtasWdPy2siRI2P+D+N44fP5mDx58mFfGzVqFKNGjYpzRcnt7LPPZvTo0fzgBz9g3rx5eDweHnzwQdxuN1/72tcSXV5SmTNnDr/5zW+48847Oeuss6iqqmoZT/bFacjSPg0NDbz77rtAU1isra1l0aJFAJx88snk5OTw/e9/nx//+Mf079+fyZMns3DhQtatWxeXsWSGrQn9bVZUVMQdd9zB6tWr8Xq9XHzxxcybN08/ZGPgrLPOYs+ePYd97c0336Rv375xruj4sXz5cq688kqee+45PbGJgYqKCn7729/y9ttvEwqFmDRpEj//+c8ZMmRIoktLKrZt89RTT/Hkk0+ya9cuvF4v48aNY968eRQWFia6vG5t9+7dh3TzNfvHP/7R8svSs88+y0MPPcTevXsZNGgQN910E2eeeWbM61OwERERkaShKSYiIiKSNBRsREREJGko2IiIiEjSULARERGRpKFgIyIiIklDwUZERESShoKNiIiIJA0FGxEREUkaCjYiIiKSNBRsREREJGko2IiIiEjSULARERGRpPH/AQMmNlLEMb8bAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "L = 1\n", - "steerAngle = lambda x: x\n", - "\n", - "pred_la = vEgo[1:] ** 2 * np.sin(steerAngle(steerCommands))[:-1] / L\n", - "\n", - "a = np.sum((pred_la - pred_la.mean()) * (steer_la[1:] - steer_la[1:].mean())) / np.sum((pred_la - pred_la.mean()) ** 2)\n", - "b = steer_la[1:].mean() - a * pred_la.mean()\n", - "\n", - "pred_la = pred_la * a + b\n", - "\n", - "plt.plot(t[1:], steer_la[1:])\n", - "plt.plot(t[1:], pred_la, color='orange')\n", - "plt.show()" + "def plot_rollout(sim):\n", + " fig, ax = plt.subplots(figsize=(10, 5))\n", + " ax.plot(sim.target_lataccel_history, label=\"Target Lateral Acceleration\", alpha=0.5)\n", + " ax.plot(sim.current_lataccel_history, label=\"Actual Lateral Acceleration\", alpha=0.5)\n", + " ax.legend()\n", + " ax.set_xlabel(\"Step\")\n", + " ax.set_ylabel(\"Lateral Acceleration\")\n", + " ax.set_title(\"Rollout\")\n", + " plt.show()" ] }, { "cell_type": "code", - "execution_count": 445, + "execution_count": 7, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "fig, ax1 = plt.subplots()\n", - "ax1.plot(t[1:], np.abs(steer_la[1:] - pred_la))\n", - "ax2 = ax1.twinx()\n", - "ax2.plot(t[1:], np.abs(steerCommands[1:]), color='r')\n", - "plt.show()" + "model = TinyPhysicsModel(\"./models/tinyphysics.onnx\", debug=True)\n", + "controller_pid = pid.Controller()\n", + "controller_pidf = pidf.Controller(0, 0, 0, 1)" ] }, { "cell_type": "code", - "execution_count": 446, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "{'lataccel_cost': 6.7511731869387495,\n", + " 'jerk_cost': 28.36683626729879,\n", + " 'total_cost': 365.92549561423624}" ] }, + "execution_count": 8, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "plt.plot(t, target_la)\n", - "plt.plot(t, roll_la, color='r')\n", - "plt.plot(t, steerCommands)\n", - "plt.show()" + "sim = TinyPhysicsSimulator(model, \"./data/00392.csv\", controller=controller_pidf, debug=False)\n", + "sim.rollout()" ] }, { "cell_type": "code", - "execution_count": 447, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0\n" - ] } ], "source": [ - "corr = signal.correlate(steer_la[:100] - steer_la[:100].mean(), steerCommands[:100] - steerCommands[:100].mean())\n", - "lags = signal.correlation_lags(100, 100)\n", - "plt.plot(lags, corr)\n", - "plt.show()\n", - "print(lags[np.argmax(corr)])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def plot_rollout(sim):\n", - " fig, ax = plt.subplots(figsize=(10, 5))\n", - " ax.plot(sim.target_lataccel_history, label=\"Target Lateral Acceleration\", alpha=0.5)\n", - " ax.plot(sim.current_lataccel_history, label=\"Actual Lateral Acceleration\", alpha=0.5)\n", - " ax.legend()\n", - " ax.set_xlabel(\"Step\")\n", - " ax.set_ylabel(\"Lateral Acceleration\")\n", - " ax.set_title(\"Rollout\")\n", - " plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "model = TinyPhysicsModel(\"./models/tinyphysics.onnx\", debug=True)\n", - "controller = pid.Controller()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim = TinyPhysicsSimulator(model, \"./data/00000.csv\", controller=controller, debug=False)\n", - "sim.rollout()" + "plot_rollout(sim)" ] }, { @@ -190,9 +103,7 @@ "execution_count": null, "metadata": {}, "outputs": [], - "source": [ - "plot_rollout(sim)" - ] + "source": [] } ], "metadata": { @@ -211,7 +122,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.4" + "version": "3.10.12" } }, "nbformat": 4, diff --git a/feedfoward.ipynb b/feedfoward.ipynb new file mode 100644 index 00000000..fee3487f --- /dev/null +++ b/feedfoward.ipynb @@ -0,0 +1,307 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/risak/controls_challenge/venv/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", + " from .autonotebook import tqdm as notebook_tqdm\n" + ] + } + ], + "source": [ + "from tinyphysics import TinyPhysicsModel, TinyPhysicsSimulator, CONTROL_START_IDX\n", + "from controllers import pid, pidf\n", + "from matplotlib import pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "from scipy import signal\n", + "\n", + "ACC_G = 9.81\n", + "\n", + "sns.set_theme()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$a_{lat} = \\beta_0 + \\beta_1 * \\frac{v^2 * sin(\\gamma)}{L}$\n", + "\n", + "steer_command $ = f_{steer}^{-1}(\\delta) = arcsin(\\frac{\\frac{a_{lat} - \\beta_0}{\\beta_1}\\cdot L}{v^2})$" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "datafile = \"data/00392.csv\"\n", + "\n", + "df = pd.read_csv(datafile)\n", + "t = df[\"t\"].to_numpy()[:100]\n", + "vEgo = df[\"vEgo\"].to_numpy()[:100]\n", + "aEgo = df[\"aEgo\"].to_numpy()[:100]\n", + "roll_la = np.sin(df[\"roll\"].to_numpy()[:100]) * ACC_G\n", + "target_la = df[\"targetLateralAcceleration\"].to_numpy()[:100]\n", + "steerCommands = -df[\"steerCommand\"].to_numpy()[:100]\n", + "steer_la = target_la - roll_la" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.011248180705200473\n", + "beta0: -0.0769574481921961, beta1: 0.0027094010571292247\n" + ] + } + ], + "source": [ + "L = 1\n", + "steerAngle = lambda x: x\n", + "\n", + "lag = 0\n", + "pred_la = vEgo[lag:] ** 2 * np.sin(steerAngle(steerCommands[:100-lag])) / L\n", + "\n", + "beta1 = np.sum((pred_la - pred_la.mean()) * (steer_la[lag:] - steer_la[lag:].mean())) / np.sum((pred_la - pred_la.mean()) ** 2)\n", + "beta0 = steer_la.mean() - beta1 * pred_la.mean()\n", + "\n", + "# beta1 = 0.002257592851869056\n", + "# beta0 = -0.04918295333364523\n", + "\n", + "pred_la = beta0 + beta1 * pred_la\n", + "pred_steer = np.arcsin((steer_la[lag:] - beta0) / beta1 / vEgo[lag:] ** 2)\n", + "fig, ax = plt.subplots(2)\n", + "ax[0].plot(t[lag:], steer_la[lag:])\n", + "ax[0].plot(t[lag:], pred_la, color='orange')\n", + "ax[1].plot(t[:100-lag], steerCommands[:100-lag])\n", + "ax[1].plot(t[:100-lag], pred_steer, color='orange')\n", + "plt.show()\n", + "\n", + "print(np.sum((pred_la - steer_la[lag:])**2))\n", + "print(f'beta0: {beta0}, beta1: {beta1}')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "corr = signal.correlate(steer_la - steer_la.mean(), steerCommands - steerCommands.mean())\n", + "lags = signal.correlation_lags(100, 100)\n", + "print(lags[np.argmax(corr)])\n", + "\n", + "plt.plot(lags, corr)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Check data statistics" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import random\n", + "\n", + "beta0s = []\n", + "beta1s = []\n", + "ssq_residuals = []\n", + "\n", + "numbers = random.sample(range(0, 20000), 200)\n", + "for number in numbers:\n", + " # Load data\n", + " datafile = f\"data/{str(number).zfill(5)}.csv\"\n", + " df = pd.read_csv(datafile)\n", + " t = df[\"t\"].to_numpy()[:100]\n", + " vEgo = df[\"vEgo\"].to_numpy()[:100]\n", + " roll_la = np.sin(df[\"roll\"].to_numpy()[:100]) * ACC_G\n", + " target_la = df[\"targetLateralAcceleration\"].to_numpy()[:100]\n", + " steerCommands = -df[\"steerCommand\"].to_numpy()[:100]\n", + " steer_la = target_la - roll_la\n", + "\n", + " # Fit model\n", + " pred_la = vEgo ** 2 * np.sin(steerCommands)\n", + "\n", + " beta1 = np.sum((pred_la - pred_la.mean()) * (steer_la - steer_la.mean())) / (np.sum((pred_la - pred_la.mean()) ** 2) + 1e-8)\n", + " beta0 = steer_la.mean() - beta1 * pred_la.mean()\n", + "\n", + " pred_la = pred_la * beta1 + beta0\n", + " \n", + " beta0s.append(beta0)\n", + " beta1s.append(beta1)\n", + " ssq_residuals.append(np.sum((pred_la - steer_la)**2))\n", + "\n", + "beta0s = np.array(beta0s)\n", + "beta1s = np.array(beta1s)\n", + "ssq_residuals = np.array(ssq_residuals)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "ax1.plot(t, np.abs(steer_la - pred_la))\n", + "ax2 = ax1.twinx()\n", + "ax2.plot(t, np.abs(vEgo), color='r')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t, target_la)\n", + "plt.plot(t, roll_la, color='r')\n", + "plt.plot(t, steerCommands)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From a193b5e3df7c2a673810503476502b635f7bb711 Mon Sep 17 00:00:00 2001 From: RisaK Date: Tue, 20 Aug 2024 23:17:11 +0000 Subject: [PATCH 04/21] wip --- .gitignore | 3 +- controllers/linear_mpc.py | 43 +++ controllers/pid2.py | 20 ++ controllers/ref.py | 19 ++ experiment.ipynb | 216 +++++++++++-- feedfoward.ipynb | 469 ++++++++++++++++++++++------ models/pytorch/VehicleStateModel.py | 24 ++ viz.ipynb | 6 +- 8 files changed, 675 insertions(+), 125 deletions(-) create mode 100644 controllers/linear_mpc.py create mode 100644 controllers/pid2.py create mode 100644 controllers/ref.py create mode 100644 models/pytorch/VehicleStateModel.py diff --git a/.gitignore b/.gitignore index 78a93dae..9660c2e7 100644 --- a/.gitignore +++ b/.gitignore @@ -2,4 +2,5 @@ __pycache__/ data/ report.html models/tinyphysics_*.onnx -venv/ \ No newline at end of file +venv/ +comma_steer_command/ \ No newline at end of file diff --git a/controllers/linear_mpc.py b/controllers/linear_mpc.py new file mode 100644 index 00000000..bb07950f --- /dev/null +++ b/controllers/linear_mpc.py @@ -0,0 +1,43 @@ +from . import BaseController +import numpy as np + +class Controller(BaseController): + """ + A simple PID controller + """ + def __init__(self, lag=0, alpha=1.6942529739501502, beta=0.0028692845935240664): + self.alpha = alpha + self.beta = beta + self.lag = lag + self.p = 0.3 + self.i = 0.03 + self.error_integral = 0 + + def minimize(self, w_x, w_u, plan): + d = 2 * self.alpha * w_x + d[:-1] += 2 * w_u + d[1:] += 2 * w_u + + A = np.diag(d) + np.diag(-2 * w_u, k=1) + np.diag(-2 * w_u, k=-1) + b = 2 * self.alpha * (plan - self.beta) * w_x + + return np.linalg.solve(A, b) + + def update(self, target_lataccel, current_lataccel, state, future_plan): + if len(future_plan[0]) < self.lag: + return 0 + + steer_lataccel = target_lataccel - state[0] + future_plan = np.array(future_plan) + future_steer_lataccel = future_plan[0] - future_plan[1] + future_steer_lataccel = np.concatenate(([steer_lataccel], future_steer_lataccel)) + error = (target_lataccel - current_lataccel) + self.error_integral += error + + return 0.4 * (future_steer_lataccel[self.lag] - self.beta) / self.alpha + self.p * error + self.i * self.error_integral + + future_steer_lataccel = future_steer_lataccel[self.lag:] + w_x = np.power(0.9, np.arange(len(future_steer_lataccel))) + w_u = np.power(0.9, np.arange(len(future_steer_lataccel) - 1)) + + return self.minimize(w_x, w_u, np.array(future_steer_lataccel))[0] \ No newline at end of file diff --git a/controllers/pid2.py b/controllers/pid2.py new file mode 100644 index 00000000..fb45ca9c --- /dev/null +++ b/controllers/pid2.py @@ -0,0 +1,20 @@ +from . import BaseController +import numpy as np + +class Controller(BaseController): + """ + A simple PID controller + """ + def __init__(self,): + self.p = 0.1 + self.i = 0.15 + self.d = 0.05 + self.error_integral = 0 + self.prev_error = 0 + + def update(self, target_lataccel, current_lataccel, state, future_plan): + error = (target_lataccel - current_lataccel) + self.error_integral += error + error_diff = error - self.prev_error + self.prev_error = error + return self.p * error + self.i * self.error_integral + self.d * error_diff diff --git a/controllers/ref.py b/controllers/ref.py new file mode 100644 index 00000000..1dc47ef9 --- /dev/null +++ b/controllers/ref.py @@ -0,0 +1,19 @@ +from . import BaseController +import pandas as pd + +CONTEXT_LENGTH = 20 + + +class Controller(BaseController): + """ + A controller that always outputs zero + """ + def __init__(self, datafile) -> None: + self.step = CONTEXT_LENGTH + df = pd.read_csv(datafile) + self.steerCommands = -df['steerCommand'].to_numpy() + + def update(self, target_lataccel, current_lataccel, state, future_plan): + command = self.steerCommands[self.step] + self.step += 1 + return command diff --git a/experiment.ipynb b/experiment.ipynb index 49a10cec..287b6957 100644 --- a/experiment.ipynb +++ b/experiment.ipynb @@ -2,25 +2,17 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 4, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/risak/controls_challenge/venv/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", - " from .autonotebook import tqdm as notebook_tqdm\n" - ] - } - ], + "outputs": [], "source": [ "from tinyphysics import TinyPhysicsModel, TinyPhysicsSimulator, CONTROL_START_IDX\n", - "from controllers import pid, pidf\n", + "from controllers import pid, linear_mpc, ref, zero\n", "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "\n", "import numpy as np\n", + "from scipy import signal\n", "\n", "ACC_G = 9.81\n", "\n", @@ -29,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -37,6 +29,9 @@ " fig, ax = plt.subplots(figsize=(10, 5))\n", " ax.plot(sim.target_lataccel_history, label=\"Target Lateral Acceleration\", alpha=0.5)\n", " ax.plot(sim.current_lataccel_history, label=\"Actual Lateral Acceleration\", alpha=0.5)\n", + " ax.plot(sim.action_history, label=\"Action\", alpha=0.5)\n", + " # ax.plot([x[2] for x in sim.state_history], label=\"aEgo\", alpha=0.5)\n", + "\n", " ax.legend()\n", " ax.set_xlabel(\"Step\")\n", " ax.set_ylabel(\"Lateral Acceleration\")\n", @@ -46,46 +41,46 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "model = TinyPhysicsModel(\"./models/tinyphysics.onnx\", debug=True)\n", "controller_pid = pid.Controller()\n", - "controller_pidf = pidf.Controller(0, 0, 0, 1)" + "controller_ff = linear_mpc.Controller()" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "{'lataccel_cost': 6.7511731869387495,\n", - " 'jerk_cost': 28.36683626729879,\n", - " 'total_cost': 365.92549561423624}" + "{'lataccel_cost': 1.0241998403733419,\n", + " 'jerk_cost': 36.425460500262936,\n", + " 'total_cost': 87.63545251893004}" ] }, - "execution_count": 8, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "sim = TinyPhysicsSimulator(model, \"./data/00392.csv\", controller=controller_pidf, debug=False)\n", + "sim = TinyPhysicsSimulator(model, \"./data/00000.csv\", controller=controller_ff, debug=False)\n", "sim.rollout()" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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BWMfQvgMYqTxozdzEJeqVCpdPnySUVqxCCCFEZIV/U2+omyFzor1o8d6ilewj8i+8hPfmNwkuvrj2dWygi9M1rsw18IOQlOFi6ShTlVUt8BoEocZJ5bj3yAB3376PsYEMRnybwaEig4UUxWyCu47tYbgvjRW0abSuMR6gkwEz7eg/WGiiAYtLFje6LDCMA0bTAqMTkIVoP86cXStDlumP9psFHuHsxY1dn9h0kiHbJdx2m6BZASA/PHLT908NjlG/WGH25EtMv1xHhz5uo87Bex9Y55UKIYQQ25Ay1/wQC23QowN0lcigfTcKyNI37nYczl0CIJg6i8oNY/btWfN6NsJ8NcoW3ba/yPFcHdcpoDVYg0lqkw4WebIPHMZMF/AvZQmqC/c1E2need8wEA2Pbk4rzLBF2wsIQ41hLGQGdRhnwEx7IbC9XsniVRkyHXh4J76OkRvCOnDfml9z4LmUam1sM6SvN9Ppe2hgfN4l5TUZLCxUICmlMIcP4194iWDqNMbgAZQhh+07lWTIdony1BXQGiORJZ29+faphbH9AASNcndwZeWiZMmEEEIIINofFFvJQOewVSW4cnLx4N+eDBn0NHZYJkO2KNAAwvKVlax4U3QCsqFiCholTENhmQrVLJF1NEnHxEhE+6yUc9UWCXuhE6Kyk5imga09dBguLVvslAOaFqqTgfK9bkOzRV0WfW/Rz1DXS+hmhWBu7Zmpluvz3dcuc2WuwcnxGmcv1xb9rpRrbZ47XeKZ1ybxg8XHVMbAAZSdQLdq+GefuyUDrMXmkIBsB2s3m7z2tS/y0l/8MVde+S4ATmF1XYT6RsdQdhKUQf7o/SjDImxVmbs8sZ5LFkIIIbapnoPlawwa1m5zUXfj4OLL+JdeIZy7sHCbqzNknY58yzR20M3q4gu2aKv0luvTaHkopejLJtD1+e513W6SltPdL6USi+eLqZ6ADDuBUlEwZ4YuLfeqILhTkmhaCyWLsNDYI1x8e92TJeuWEvpu9yT0otte5/JrOTtRodlsYShFoExeOj1DuRnS9gLGZ+pMltpoZeL5IdOl5uLXa9pYR98GhkE4Px4NxxY7kgRkO1QYhjz3l/+N1vRFdLtO2Kyg7AR77npgVY9nWTa3v+9vcdsP/jiH738LyZGDAMydP7nMPYUQQohdoKeleqeJQ0cweQr3pScIxl9buE2jFP2/thCU9HZZhN7W58sEZJ0D9Tjw2Kqd+TrZsWzKxjIhjH8GvRZlxXoHPl8VWClloOwEdhyQNa7qtNjJgCnDRhlGdH9YeJ86gVmcrep0ZQTA63n/3MXBtfZauC/+Jd4bTy33cgG4PNfA0AGj/WlGBqNGHRdnW1yYrFJtuPg9u4fGp5cG0kZ2AJXMR99scPMRsXkkINuhmrUaXnkWpRT5I/fiDO7j0DveT65/9XM2kpl0t9yxb/9hAFqzl6VsUQghxK7X3bPEQoc/gLAyhX/xZYCoRFHrqCNifNAfNnqyRD1dFgFUKjoQD5tltNYEc5fwTn17SYmijveIG8XR6Pu4M+NmK9ddLk3VGJ+uceL8PC+cmgGgP5eIgp4wAGV0XyfEbeq7X/fsqbKTS7tH2iks08AK27TaV5Usdn5GcQfDTtli52fX+fkYnUHNvRmynvdPe4uzVuH8OGi9KLt3PbWmR6XuYhKSSdkcGC1yYCRHgEkQalIJi0P7BnjXfdF+v8n5xpKyxd6fw6KgUewo23534Pnz5/nsZz/Liy++yMmTJzly5Aif//znl72f1prf/u3f5r/8l//C3Nwcd955J7/4i7/IAw88sPGLvgWqs1FHRSOd5/ADj6z74/eNjnHZsNBei/L0NH0jN98oRAghhNgJtNaLmkT0ZliCyVOLb9uqQk8GTTcr8UyqhQClmyFL5qMMju9Bu45/Jtp+EFx+E2vf3YsfEzCyg4TlyajUrl1HLdMIZCOV6y5ffe7SkstTCYtDY3m0G2XxlJPCyA12G4+pdLF7W9VpyOG7S/eTEQVptmVghm2aV5csdt6PTiMMywYXCKI9Z53OhyqVg0YD7TbphHu65/3TV5Wf9pYN6jBAGddv5nJlLgqgCmkT01Ao0+Kh24coNQdpzQUUsg5WLoOVT5BO2jRaHuPTdQ6O5ha/zrh0UwKynWvbZ8hOnjzJk08+ycGDBzl69OiK7/fbv/3b/Pqv/zo/+ZM/yW/+5m8yNDTET/3UT3Hx4s5oLVqfnwPAzvZtyONblo3dFwVhpcsXlrm1EEIIsYMFHvQ0XOgcxOswIKxGWaFulqM8uXjPl9boxjxhZQoAI9PXnVWlDKMbVIWL9lst3kukm+Xo9qncihuBbLTe/VAD+SRDxRQP3zHMDz68n75comdwcwpz3z3Yt78D+/g7MUdvX/Q43UCsd/9Y97o0lmmQac/QbLmLrutkwro/S7NnFlnP/i8jHWXnFpcs9mTIri5Z7H3vlslCVhvRmgqp+HA7Dg4z2TR9uQSGUmDaKKU4Mhat4/REeUnzjk7WULuLs3Vi59j2Adn73vc+nnzySX7913+du+++e/k7AO12m9/8zd/kp37qp/jJn/xJHnvsMf7dv/t3FItFPvvZz27wim+NdiX64E4WNiYgA8gO7wWgGQ+cFkIIIXalqxs8xBkWXZuFMEA5ScyRY9FNK5PoVmXxzd94Cv/8CwCowuKKEyMT/R3X9dme51soz9NuMwoalEKlClsmICvF+8XuOtTPu+7fwzvuHWPfULbbmr5bIuikUYaJkR/GyA1F+716dIIRZS/NkBmDBzFtm5Q3T9/ZL+FfeCF67J4MWHffWef/vrto/5hKZBevh6v2APaULGqtCRvlheuuKh29WtuL1uDEL6kTHJpDh3tuFQVfB0ayWKZBpe4yV1m8BxEpWdzxtn1AttLhxr2ee+45arUaP/zDP9y9zHEcfvAHf5Cvf/3r67m8TePWSgBkiv0b9hyJdPQhFvo3/kASQgghdjJ91d/BTpe+sBydsFT5EYziWHRZdYawFF1uFEfhqn1RRn540fcqDsjC8tTC4/cEAp09aCqVj1q8J7N4fsip0+OcOD9PGG5Oq/S5OCAr5hLxOsv4l99YaPMfZ3uu7qR4NaMwCoaJkR9ael26gHHwIQD8QBPOX46u6NnP123m0TOLrNvww7R6ygF7sk/XyZDpdm1RELZcp0XXi16rbcSvOc6QGflhrAP3R6+rfx8Ajm0yNhAF05fnFgfT3X11EpDtWNt+D9lqnDlzBoAjR44suvzo0aP87u/+Lq1Wi2RyaWp8u/A8l7BVwzSNNTXxWI5hxp2JwmCZWwohhBA72NVNNuKD+7AebR8w8kOoRAajMEJYnuxmOsy9d2MdfoRg6jTB+GsoJ7loDxWAkY4zZL0Zr/j+2muha3Pd203ONXjzzQqFuQoNx+RKOM/kfINUwmKu0uatdw7Tn9/445ur29sDeG8+FWWnfBdr/72LShZvxBw6FA1FVtc+Ae8M7OVS3yMcLH9vIVANFlred+7XaZRC4PW0xLcXlQPqMACluuMHYHFTD92bHYNFnTWvpR3PRrNUHJCZC/vNzOEjGEOHFr2u0f4UF6eqXJqqk03ZjPanSTpWzxpby+5bE9vTrgzIKpUKjuOQSCQWXZ7P59FaUy6X1xSQWdbmJh7bDReFRjlJMvkcGzVH0Ek4KKVQhJv+mncD0zQW/V/sDPK+7kzyvu48N3pPAwICQ0XZmMAHr4lpKozARRsKO5XFsAzU2FHcapTpMocO4eSKAFj77iDMRuWGhm3SaPnMlJt4fshwXxLLMqG3o3HgQukS/rnnIAwxDIWZ6+OVc3ME2qKgIO+EzDsm5bpLuR4FGG9eKvHOuKPfRirPuxiGIp9xSCWjQ00v9MBQMH8R6/D9+H4Lw1BYqSzmsscQ178+k7LRVoJQAzrANEGrAMNQKNvpHp9ox0EbCkN7mCokMBSGZWMmkoSGiTIUZthCGRa+opu5VEF74RgnaBIaCxlNUwU3XLsXRO9NwtQYgcKynatuv/i+Y0MZjDcVrh/w0ulZzl2p8n0P7sVKJvEtG0IfM2xjONllfl5iu30G78qAbCMZhqKvL7OpaygUUjTe8g6yfQMUixu3lrCVxbZMlMGmv+bdJJ+/8dlEsT3J+7ozyfu681zrPW27FvWUg10Ywi/PoNEUsxZlW6MNh8JQH2Yqgy4epdGO9oKlb394caaj/zYAXj41w8unZ7oXnxyvcHfbZCxn4HoB1YaHH4S4zz1FXy5BIeMQas1lL0WITzKX5c6+AVLZDI88eJwT5+eZnm8wW25RbQU8e3KG+24bYrjvxqWCq9VoeZy6XCWVcji8r4++vgxah+iU071NsZCkZProlENheBAzvfpjCK01qWwau2Ri2xbFfILAsKmmHMxUmkJ8fNJqFmjMOjhJEydjUUs52PkMuUKaSipLIgzIOgGGk4BUdMJZa41SAcViGqUUjRlNq+d1ZDI2iesc/3h+iO1Y2EAuY4PpkOvPYS9zXHZwT5Gp+Sh76IVwfrrBw3eOUC4WCJpVcimWfQyxYLt8Bu/KgCyfz+O6Lu12e1GWrFKpoJSiUFh9m9gw1FQqm1/jO3rsLvL5FJVKk+AaMy3WQ63h4vkBSrvMz6/f5uHxU2/SrlZwMlmKw6Nki8V1e+ztzDSNDX9Pxa0n7+vOJO/rznOj99Sfr+A1XbwUhKGJbjeYm7iMW4uPB+oBqhX/nRy5BwC3vLh7H4DrBXzvtcuEoWYgn8QwFNOlJhdKPjOTc0sqXq40bJLhHL42uThfA2Vw+6EBmAxpVmvoeovDwxkOD2f4zmuTXJqucb7pUqq0+P637Fv3nxHAs29MMTvfIJ9x2D+YYn6+jnabtJoLZYDTLz2D3/nZNDVqjQ1IwkDjBppavY09UyZsVHCbLoYZEsbHJ0EjwG26uOUqplWN3q9EgK40MTIF2nMzBJOTqFQBt+mi0vmom6XW6Ok5lJ2kPTdH2PM6gvkKlrOw9qB0GZXKYyQy1JsezaaLZRq06g1wXXTVxdA3fq2HhjP4nk8x6/Dq2TnePDfL0dEs7dAmbLoEk1NYWjJky9kqn8H5fGpFWbpdGZB19o6dPXuWO+64o3v5mTNn2LNnz5r3j/n+1vnjGwThhq1HY0atWcNg3Z6jVi5x5bmFxiqTgN03xoGHHiNbKK7Lc2x3G/meis0j7+vOJO/rznOt99RttWg0PdLaRNlpwmYdrzIbNdQwDPzQQOnlfw/OX6ni+yGFbIJ33Bs1AZkpNzn/3FnC+Sizlks7OJaBa2U4p+5EEaIBx7a5bV+B/WNZvCsKwhC/1ezu0brjQB9tN2ByvkGp2qbZ8rCt9d2LFIaa8ek6Yai5+1A/BgrfDwkbtUXNRdzL0Ww25SQJQrW4HHMVbNMgwMDzQzzXRbtu/HxW970KMQlDjXbb0L3eJAhC7HQeHWq8WhlqFcJQY1gptNFGey28ZgNDOQTNOjrUKCeFdpv4rgudx6/P4514GgDn3r9BvR09n+UYhL4PocbXBsYynweFjMNbbh/C8wNePj0bBXYtD+VkCUONX6tAv3ymrNR2+QzelQHZQw89RDab5a/+6q+6AZnneXzxi1/k3e9+9yavbvsw485FOgwIw3BVHS+vVp1dKNMwc4MEtVm8+cuc+fpfcvDRH6AwNHyDewshhBC3ltaaE2dn0FNVWs0St+3JkCFueQ8oK4Hq6aToByGTcw3GZ+pU6m7UvGEgzcXJGrOVKGu2f2ghAzJYSNF390EaZ+ZRQHLsKBgm5shRii0DpRS5tB0NHu7se7KdqAGE3+4GZOmkxWP3jPKl712k3vSYq7YZWeeyxZlKC9cLSDgmA4WFk9sLDTzSqPxQtyW92b8+WbqEY6KVRRDoqGlHp7lHp9U9dLss4nsLM8qs6HqzM+ttNp5FqxTm8FH8S69GHRfdJjpVWHgdqXzUuKVnDplu17pfe6efoT381mhtttFtItJpe78StmWSdCxark+14VFIRsOirx6ZIHaGbR+QNZtNnnzySQDGx8ep1Wo88cQTALz1rW+lv7+fT3ziE0xMTPClL30JgEQiwac//Wl+4zd+g/7+fm6//Xb+8A//kFKpxCc/+clNey3bjdFzZi0IfAzDucGtV6ZZjtr3pkYPc/vb30u1NM/5Z75KUC9x/pkvc9t7P0gqk8X3PdxWm3RW0vZCCCE2z+mJCpVKjRzQ9OHViTYPZEOcuMMi1sLWiPGZOi+dnul23wOoNT2uzC1sdTANxd6hxXuEVCKDEzeDULkBzP79APRf78+ulQS3tah9e0d/LhkFZJX1Ccj8IOTbr04Sak0n7BztT0dDj2OdrpMqN4h96KE1P+fVErZJoEz8MIAwWGhH3xMAdQdDB+5Cd0Qz+gGamcVbVcy9d2Hkh1HOGXSjhPZaqMDrBmAqlYfy5OLumt7C7DDdKOOXJgFFwlLQWtz2fqXyGbsbkBVz8QDrZnWZe4ntaNsHZLOzs/z8z//8oss63//e7/0eb3vb2wjDkCBY3Jr9U5/6FFpr/tN/+k/Mzc1x55138tnPfpb9+/ffsrVvd2bPB13oB2Df4MYr1K5GAVkiH7X5zRX7uP09H+CNr36esFnh5Jf/HLs4jFeeBb/Nnke+n8F98p4JIYTYHGcmKmR1wHBfGs/JMNeEiZk6B0cNFKDsBM22zytn5xifjrIo6YTF3uEsg4Uk06UmZy9XGelLsW8oSyphkUosPjzrDC+GKOO2HGUn0ID22kuu688nuDhVZa6yNFhbjcn5JjPl5qLL9g5ddbK0vbIW96uVsE1qyiII/Cj7FQdcizJScTaMwF8Y/BwHaUZycQBsDkVbW5QdZfmi4dvxa7ATC5f3ziTraZUPoGfOAkdI9laF3mRAlks7TM03qTRc1FAUNGovznyu4PdgvWi3GY0QMNfhQE9c07YPyPbt28cbb7xxw9s8/vjjSy5TSvHpT3+aT3/60xu1tB3PtEyUMtB6acC7Wn49SsWnC33dy5xkkkOPfT/nvvklwnYNd+ZS97qpk69IQCaEEGJTuF5Ao+WR0wGFjENh3xBPnWrQqvjMlJpkUzbzcy6vTF8iCEIMpTi2r8DxA0XMuMx/pC/N3Yf6F5U1LuH0ZLJWclDcCRiulSGL55DNV9sEYdhdx2pdnlloUnFkT4GR/hRDhcV78bvBzDJDoFcrYZtUlIkfhFEWK7xGyWLP1931xEFa7ywwIz+8EMjFAaT2Wt374KQXMm+9g6Hj4NcYOEA4ewFVncK09+J0AifDQN3kzzqfjjJ41YbbHWKt2w10s4LKLR2UvRG028R96QmUk8a574duyXPuRts+IBObTBmgQwL/xtPqV8L3PXQrOnuY6Vs80DpX7OOuH/4x5icmaJRLBF6LypmX8eYvU5mbJb+BA7CFEEKIa+nM90pZUamhlUpw/Fg/8zPfY7bSYrbSopwqEGRDBvJJ7jkyQF9uaWbjhsEYoAwDc88d6HZ9yeDoa94+Dsg6QUIwd5Fg6gz2obeQT2e6e5Nmyq01lS0GYchk3KL93ffvue7Q6d49ZBsh2kNmEoTRHjLdKS3syUgpZURZMt+DTlfHniDNOfY23KlzWAcfXLhP5+foNqP/Oq/BXMi2dXSybka2n6BeotIok8hUSZhRqeHNZscAcunoeaqNOOOXyscBWRVuUUAWVqK5edptxGMAbvy7KlZHAjKxNoYJod/98FuL+vw8WocoyyGZXvqhbRpmlA2LM2Kvl2Zx5yY4++R/J7PvNg7c9zBO4tal8IUQQuxu5VoUkMWJDJRhcWCsgDE6QnN+miDQZHNZbrtzhNH+9JoOZq09d674tsqO/hZqv0VYmcI/8z0A/InXsI+8ldH+NOeuVJica6wpIJspt/D8kKRjXTPQhKjpie4NZjZAwjYIlRllLJttkp1SQmtxNlGZNtr3uqWcvSV4Zv9e7PzY4tv3ZsjiIE45qZ79aF7UkdFQ3YDMVzavT/oYQYgdNEhaUXdJtaqALJqH1mz7NFo+TqoApSuE9TlMjtz0493IdYOtsKcCKvRXlqEVN217jK8WW1ZnqGXgr71ksV6K9o+ZqfyKOjbue+BRrNwA6JD6xTc4+Y0vEq6xda4QQgixUuV6dBCe7hxrmxZKKcb27eHgSI4je/Lcf8dexgYytzazYC3sffLPP9+9OCxdRnstRgeiwOjKbJT1WK35SvT6h4qp67++wF3IJG3QHrJsykEbNl4Q8srJSXy3s0fsqq4nV39vLdOMrFv62VwIyJLZbrZrfLLEf3/6HN94aYKL47NMzjd44WyVsu9gGgb7cpqhfBzAmDc/YsC2jG6gO1NuYuSjTtNheWpN79vVJmbqfOE7F/nO65OLxhPAQuYPgKv2yYn1IwGZWJtOQNbbaWiVWrVo/5idya3o9rlikbt/8EOMPfI+lGHiV6YpTU2ueR1CCCHEcoIwZL4aHawmO0mD+EBdZRb2Qd/K5gvd5+xkyGpz6HYDrAQqXYAwJJg5z2AhiWkaNNo+1ebq/36XatHrL+auH9h0s2N2snsSd72lkxb33TaMY5n4nku5HG1/UFdnyOzF78VyTSq6JYu+h25ExygqkQHTQgOVahTQzpZbVCo15qttZmoBnpVl31CGg0WwWF2HxY7BeD/edKmJyvRHGSq/jW6UVvV4vYIw5KXTM3zn9Ulars/ETJ1Xzs4tuk137xxLG5eI9SMBmViTzgZVvQ5NPbx6JyArLHPLxYb3HyIxFJUxTp8+seZ1CCGEENcTas2bF0t88bsXqcXBTKpTlmYuDciuLpu7FVS6sCj7Yw4exByOStzC8hUs06AvGwUnnSzXzdJaU4pLNjuPdc3bdZthbEx2rCObTVPIOhg6oFzu7BFbHCgu6fK4XPmdaXcbeCw0JsmgTDsaNux7oDX3H+ljtOAwmE9y5MAgD917hFTCQreqCzPPbmIGWa+hYrTm6VILlMLIR3vHOnu71uLNi2XOTETHXp3OmGcmypy/0tNa3+3poCkB2YaRgEysSecDZj26LHqN6AMgGc/auBlDR6IB3+3pC3iufGAIIYRYf1qHvPnGRV47O0vbDUgnLB48NoCl4jKvTkDW26Z+g/ZN3Ygybeyjb40abxkG5tAhjPxI9Brq82i/TX8+CqJW2/6+5Qa0XB9DKfKZG5T+tTe2oUeXaZFPO5gEtBoNXD+k7im+8dIE567Ew5Tt5JL73IhSanEQZxhRYGnatNwA0BQzNoeGkvTnEwz2ZbjjyAj9Q33xHvuAsDoT3Xe58sjr6M8nMA1Fy/WpNT2MuJmHrs+v6vF6TcQdMu8/Nsgjdwxz58HoRMKLp2eYLUe/F7otGbJbQQIysTYqKj8I19jUIwxDwnjYYTpfvOn7F0dGUXYKHQaUp9d+1kgIIYS42szpN2i+/CX666e59+gAP/DIfg4M9R6wxwGZUth3fz/28Xdt2Oyt5Ri5Iew73o19/N1RVsdJRZkzrQkrU929SXPV1WXIOuWKubSNZV7/cLJbsrhBLe+7DBvbMigmQkAzX23zjVenmS23eOFkFBQtei8se1G7++s+bG6w+7VyMtF9DJOWF52ILqYXGnooO2rCoZSBSkbbL8KZ89HjZAdZDdMwKMQZyFLNXRg0vsatIo2WR7XhYijF3sFoDtvt+4vsHcoShprvnJik0fLQXm+GbHW/K2J5EpCJNVHxJtW1liy67VY3rZ8u3HyGzDAM7ELU+r46IwGZEEKI9RWGmlPPP48G9qkpjoxmMZRa6EKnjOi/mJHKLzqY3wxGpg+jp3yytylEp0V9teHiejf3NzzUmtPjUdapeJ3uih0LLe83NjDtHI8MxTOe52oubrDQaMTzg4U9YSy/f6yjk1mEhaBSKUUjiJ6vL0l3vAA9+wWNwsL9oscZXtkLuYZiNyBrdyuT9CoDsulSk1fOzvK1FyYA6MslcOzotSilePC2QQrZBG034PVTl6GnWZpkyDaOBGRiTTofgOEaA7JGqRQ9npPCtleX1k/3Rx92zZIEZEIIIdbX6fEypSAqHxvpSxHOXQJAd4YDxx0Wt7Ju2WJlCscyyKaioGT2JssWT4+XmSk3sUyDY3tvvO97o1ved8UBVsbWOJZJqBYHXPM1F+zUktsv51oDmEOtqflRYJSzvIUMWU9AZg4dWvw4ySyrVcxGx0WlWvuaM9BWarrU5JsvX+bUpXI3CB/pX/y+WKbBQ7cNopRiamqWZrvneSQg2zASkIk1UetUstislgGwUivrsHgtucHoD41fnpX290IIIdbV5HwDpUMGCyks0yCcH4+uuMYQ4q1KZQeiDoFeC90sdw/Gx6frN/U4l2ejrNddh/rJpW98ErW7B2mjSzc75aLA2ECafD7Lex/c221WUaq2r9oPtrKOj8q0or1jEHU5BM5fqdLSDpZhkLX8ngzZws9COenuEG9jYP8aXthChqxcc9FGpzLp5o67gjDkhVNR6eZwX4o9gxkG8kn2Dy8NFAvZBAeGs1hBm6lSk04jfMmQbRwJyMSaGHHd+FozZN2ALL36gCw/OIgyTLTfpl4pr2k9QgghRC/XC1E6wLHj7sKd7oGdA+NVzJm61ZRhdJtChOVJ9sXByuW5Bn6wshOZodaU4/1jw303DrJ04HX3HW10hqy3i2EqYXFwbz+FbOLa2SVYVIq3HOeu78fcexdq5BinLpV5/fw8vpFgoJDE8FpoL8owXl2Wad/2GOaeO7D237uGVwbZtI1pGvhBSL0TE4XeTc0imym1qDc9ko7FI3eM8NY7R3jX/XtIJa59IuGOg30klEuz7VPtPGkgAdlGkYBMrMlCLfPaArJ2eRaAVHFg1Y9hWTZmNjp7Vboyvqb1CCGEEL1cP8TQAaYRlSV2DsLplize+vb2q9HZy6QrUxSzDpmUTRCEnJ+sLnPPSLXhEYQa2zLIJG+cFeyUdapkduN/Pld3TIyfr5Ndmqu0CXsDmHDlxy0qmcUaO86VuRavnJ3F9QIS2RzFbALtNrqNL9RVXRyVncTac+eaZ9EZSlGMO1nO1+N1hyHolb+GRlx6WMw52NbC4b92m/jnnsc79W2CuYvdy1MJiwN90c9wph09t2TINo4EZGJNunvIwtWXLIZhSFCNBhHmBle/6RUgPTgKQG1qYk2PI4QQQvTy/AClA4w4IMP30IHfLR3bDiWL0NPYozYHOuTwaNRI69Uzc0zON250VyAq/QMoZBI33DOntSaYOgOAOXR44/fXGfaipiqd8sG+XIKkY9Fyfd64UFq4fhXHLdOlKAjfN5TlgbsOoFScKXXj4NzeuLLM7oDoigedn+VNlC1Gbfoh6Sz8nurAxzv1LYKZc4Sly/jnnl8UdBWTUQBbJX5d0mVxw0hAJtbEUGvvslivVKKyBmWQ61t9hgygMLIXAK80RXATZ7+EEEKI6wm1xvNDVBhgGj2HTl5r4cB+hXuSNl0ig7IToEN0o8zRvXn2D+cItebE+eVnW3Xa3Rdzy+wda5TQzQoYJsbAgXVZ+o0ow0D17ENXcUBmmQb3HY2OLU5dKuPFpZkqkbnp55gpR5mwvUMZ7HRU7qnd5kKGzEle975rNRSXh06XW939cjcXkEW3TTkLv6fB5El0oxz9PkA0N232Qvf6hIqCs7pOEYQa7bs3VSYpVk4CMrEmyoo+FMI1BD/V2agropkpYlpr+4NWGBlBmTbad6lMz6zpsYQQQggAz48O4ntLFiE+GA+2V8miUgoVt8LXjXmUUtx9uA9DKearbWrNG7dTL8f7iTqlgNfTaeZhZPq6wdFG623x3/t+7BnMUMwlCLVmfvgRjOIY1qGHbuqxm+1oMLNSisFCcmG/mO92X+vVJYvrqT+XxLYM2l5A04/LZm+i9X2rfY0MWTxc2hy7A+vgAwAE02e7QZcZtLEMA9fKRP8GwnBVmUWxPAnIxJoYnTlk/hoCsri8MFFYW3YMwDRM7GJUjjF74dSaH08IIYToBGQmIUotNKjQPRkytQ2aenSodBS4hPEBedKxGCpGAcZ3X5+k0rj2XqFQ625AVsgsE2T5nTK+te2fuhmqJyC7Oggc7Yves8utBPaxR286QzZbjl5PIetgW2Y0x+zqQHMDSxYNQzFYiB6/5sZZqpsJyOIMWTKx8Huqm9EsOZUuYPTvB8NEt2roZgWtNdprYdsGnpnGDeMg0G0ufXCxZhKQiTXpBmQ3sbG015nnv0vrclRjnhvesy5rGjh0HIDGxBncttQ7CyGEWBvPD0FrLCMud4tnSmmvuVA2tk32kMFCJqmTIYGoDA+iDNg3Xpy4ZtfFRssnCEJMQ5FJ3TgjqL3ObK6NyxpdrRNoAksylp0W/xMzdRqtmx+qPB2XK3b2csHizpHKTqCMjT2s7syN88O40+ca9pBp312YEZfMoUwLIx934KxMRTPHwhDHMvENh7aKX3d7+X2G4uZJQCbWxFhDl8V2s0nt/GsA5I/ez/DBw+uypsH9BzBSeXTgcfnUiXV5TCGEELuX6wcoQjrN6bpDft1WT9v77VGyCKAyRYAoGxI3cdg3lOVoPOTZ80PmqktPaHayY7mMg7FMk45uF8pbmSHrnWWqFweUxazTDUa++N2LXJ69udlrM3GGrJOlAjCyPZU9G5gd6+iUy/rx/v2VZsiCMKQdD4Lu7CHTrairpnJS3WziwuDwye6+OCuZBGXQ0NH7qNu1dXgl4moSkIk16ZRorCYgmzp3Ch0GmOkCB+99EGOdziwZhkF2TxTcteZlH5kQQoi18eIZZJ2GHr0ZMt0pWdwuTT0AZSW6+52020D7LuGFF7h71GT/cBTUzJSWlqZVOuWKywyDBqKGJ7DQMOIWUMrAHL0NlcpjFEavuk5x16GFDNrk3MpL75ptn3q8f2wgv/B6jMJCZ+iNbOjRYcWzXwPi37We/Vy6VcM7+z3CuAyxVyc7Zhqq2/JeN+OALLkQxC504JxFt6LAy0lFWcB6GLe+b99cICtWRgIysSZG5w/QCksWm/UaF19/mcrsDOULJwHI7Tu2bsFYhxN3P/JbUusshBBibbygZwaZaXWzIb17yJbMwdrqOg0o3CbBxOsEM+fwXvsqQ8W4vfoNArL8VfvHwmZlyd6izShZBLD23YNz9/dfs5HIgZEcj9wRBR2l+sq3NHSyY8V4/1iHyg0u3OgmygdXyzTjDJnunAxfeE7v3LOEsxfx33xqyf16G3oopdBuk+ByVEGkUvnu7VQyG51sCEOCqdMAJOLjqbJn4fqhBGQbZJt9eoitxog/mPQKuixeOXeGqRe+gQ4D5l7vPgAjh29b93Ul0lEtfCibT4UQQqyR60UzyExToQxrocOe21yYfWVsn5JFiErVdKOE9loL5YXAYC46NCzVXMq1NijFM69Nkkla3SCtNyDTbhPv9a+BMrDvfA9GJ+OyCU09VqIQd4es1l3CUFNveiRSNy7967zu3nJFuGr23AZ2WOzoZMj8Tj6lp2Sxsx+wEwj3al7V0MN785sL+8d6AjIAY/AQwaVX0LVoPmw6m6U/SNKYSTIxU+dQRkoWN4JkyMSarHQPme97TL/yHXQYdMsklGEy+uC7SGbSN7zvaiQy0Rmd0G0Shks3JgshhBAr5fmdDJkBprXQZdFtouNhudupyyLQU7LYXDRDLeHO059PorXm6y9O8I0XJ2i0vG5QYii1KCAL63MQBhB4+Ke+jQ6DuEOfu+h5topM0sK2DIJQ8+KpGb703Yt84dvnCa8zX8vzQyZmoqzQSP/SfWL2Xe/FGNiPtf/eDV03gBVnyLoli717yHqCw6tnhVUb0e1SjoUOw+7+MSM/hFEcW3Rbc/DAVd8fjLKKiTQt16dWrqDluGrdSYZMrInZKdFYJkM2/sZrhG4DZae48/0/xuz4JdL5Avn+tbe6v5ZukBf6+K6Lk9xafxCEEEJsH54fLsqQYTlRE4/A6+61wdpamaBlOT1llz1ZFV2e4m133ctzb0wzOd8AooP7g6M5ErZJfz5Jwu5pnd7TqVG3aujaLCpVWGiqscV+LioOKGfLLc5PVjEMRbPtU627ZJJLs5yXpmv4QUgu7TCQX3osYaSLGIcfvhVLx+xkyK5RstjN1AK4DYjb+gdhyLkr0b6y0f40xM06MAys296Buqo5i7ISmCPHCKbOYB18ACPbTwrYNzaIP21SqjbpdxvQaWwj1oVkyMSadDNkN9hDFoQB5XNRrXLfsXuwbYfRQ0c2LBgDsG2nWz/eqkt6XQghxOq5fs8eMsOMhit35ljF2Yje5gjbgerZQ9ZbshhWZ0jYJo/cOdzNhO0byvLgbUPcdag/Oqjv0Q3I4gP7sDy58HjWxreCX438NZqSXKurJMD5K1E26eBobknwcqtZcZdFTy/OkOkwAL8nqI4bdgBcnKrRdgPSCYs9g5nue6Ps5HVfj7nvHpz7fxhz8GD3soNjeTwjSb3p06yU1vNlCSQgE2tkx5kn7btcOXeme3m1VOLCqy/z+te/yGtP/Fd0u46yHEaPHb9la+vU+LcbsgFVCCHE6rl+Zw+Z0W3eoZILg4VVIoPaZk09VE+GrHffkW7X0GGAZRq8/Z5R7jrUz71Hrn0CVeuQsFECwByL/r6HlclucHArOyzejH1DWSzT4Pb9RW7fXwRg/hoB2Xy1TanWxjQU+4c3PyPUyZB53T1kcYbsqv3yYWshIJuaj647NJbHMBTa7QRk12/Tr5Ra0hQll3awswU0mur83Jpeh1hqe316iC0nnc2S2nOM5sQppl54ilalRPXS6UUfBh2ZPUex7RW0yl0nZiJN2ChLQCaEEGJN/J4MWae9vUosHKAvmn+1XfS0vV/UIVBrdKuKShdJOlY3YLkW3apF9zUtzOEjBJffRDer+BdeAtZv/1jVrfHC9Cvsz+3hUP7A8ndYxkAhyY88dhClFFOlJhdnGsxVWktu18mO7RnMLCrT3CydPWSe7gyGjjNk7uJhzbqn9X29Gd2m0Nn31ylZXEWbfitdIChP4NbLN31fcWOSIRNrdvThd2AXR9ChT/nUC4StKkoZWPlhcofv7Q4dHL39rlu6LjMZnf3xmhKQCSGEWL22d1Xbe1goWQRUMn+9u25Z3WCpE4wpA5XtBxaGBi9Hx9kxI11EWQmMuA18d+jwDQLVUIecr1zkQvXSss9zpnyOSrvCqzMnOFU6u6K1LadTrteXi7suNjwuTFYJtUZrTa3pcXE62vJwcHRrBNxWXP7ph0a0sy9+764OyIhb02utqbei26ST8RYTb/kM2XWfPxP9ngf1pbPOxNpIhkysmWmZHHv79/PG1/6CsFEms/84B+57GCcRfcgF9z9E4Hq3vLGGnUjTAjyZRSaEEGKVQq1pewFpHUQzqIxrBGSp7ReQYdpRd8W4KZeyHYxUgaA2t2gP0o10MjGdwMs68jBhdRbQKGVQSSSwvQYZe/G+syAM+O7k88w2o9I3hWJ/bi9Vt8YrsycYywx3M2GhDpmsT3fve6p0lsP5A5jrNIg7lbDIZxyaTZfn3pzmzOUK1YZHEERNSQYLqWs289gMnTlkobKiTpZhJ0MWt7BPZqPGKkHU4bLtBfhBiFJqISDr3HYV2Us7V6RNPHdO603fU7eTSEAm1oWTTHLH93+QZrW6pFmHaZiYyVuf6rfT0R+AoNVY5pZCCCHEtbXaURt3U4dYpsK/VoZsG5YsKqWiWWTdLpHJ7uvoLXm7kW4mLM4QKiuB2bcHgHK7wjcnngGtGUj1cyh/gNFMNJT5xPypbjAG8MrMCRzD5pXZE7T8FnPNOdJWiuH0ENPNWbzQI2ElMFA0/RZTzRnGMiPr8nMAeN/D+3nxxCSvnZuj1LOXLOGYvOX40JYJPExDoZQiVCZhqDECPwrM2tFxjkoXo/fTjwK1RpwdSzlmNLIBoNNwxbn5DFkyk6OKQeB5izo5irWTgEysG9t2sDewc+LNSmaiPyx+U7osCiGEWJ1WPFQ3YRF1EuzMe7KTqHQBAn/bdVjsUKlCNyBTdqIbWK24ZPGqDFmvqcZ0twPlbHOO2eYcdw3cQV+ywLnyeQAeGX2Qc5WLTDdm+N7kCwAYyiTUAS9Ov8o79z7KufIFAMYyI5jK5HTpLBO1y4xlRgh1yHyrTF+ygKFWvwsnnbS542AffdkEZy9X2DuUwVCKXNomldg6h8pKKUxDERgWoSb6+fZ0WOxkanXgdssuATKphXb+a8mQpZIOnpXGC5roZmXRSQmxNlvnt0yIdZaNg8OwVcXz3FvaUEQIIcTO0Gx3ArK4vX08AFophX3n94FmS7Z2Xwlz6BDh/Hj8jbWQIWvX0WHQbWByLTrwFzIz1yjZnGuVADhWPIIXepyvXOS12ROk4/LFPdkxhtNDFBMFnhr/Nk2/Rc7J8vDIAzw79RKVdoWvXPg6EAVph/IH8MOA06WzTDVmqHsNTpbOMF6d4FjxCMf7j6355zFQSDJQ2BrliddjmQa+b0QBGUSz8Px4CHeiM4M1hDDo7h/rzFfTXhsd7y9Tq8mQORaumSHRruNXprGzA2DaWyaDuJ1tz08QIVYgkUpHLXe1pjY3v/wdhBBCiKs03WiPVcKMj4CNhXPZShnbNhgDULmhhW800RBn0446LbZv3BCrW65oJ1FXDX8Odch8uwTAnuwodw/cwb5cVMrY8KIg7kBuLwCO6fC2sYe5c+B2Hh17hLSd5qHh+7B6fs5Hi4fI2GnyTpah9CChDvnaxacYr04AcKp0BjfuOLjTmaYCpQhVvCcs8LrzyJSdgs7vY+DSaEWXp5MWulXDffEvFx5oFRmyZMKknhxBo3Evn8R94S/w33wKHfrL31nc0Pb9FBFiGYZhYGaKANRLs5u7GCGEENtSq5MhM6ImD8qyb3TzbUUphX3b21HpIubY8cUDr5cLyG5QrlhqlwnCAMd0yNoZlFIc71ucwepP9nW/zthpjhQO4Zh29/t37X2UOwdu53j/bRwrHu6u966B49csTzxfubDyF76NWfEsslB1hkP73YAM00aZUTVQ6LlU6lHmLJOyu/PiAMyhwzfMfl6PoRQ6O0hgJAiC6ARFWJ3pjjkQqycBmdjRErkiAK2yZMiEEELcvE6GzFHR/zF3Vvm7URjBueu9GOkCsDDwetkMWbMc335pueJUYwaIgq5OOVvSSnK4cBCA2/qOLlvmlo6DtGPFw4sCsKyd4aHh+zhSPMRDI/dz39Dd0XM2Z5Z9rTuBaXQ6LXYCMg8dN/FQlgPxCYO5+QrluotpKAbzyW4zD6N/H9bBB1b9/KmkQyl9AM8Poz2UQDh7Ea31MvcUNyJ7yMSOlir0U78I7YoEZEIIIW5eZw+ZY4SAibIcdvKhZ2fgtW7fuCFWWI/+rqpM3+LLdcilWlRKuCc7uui6O/pvYyQ9RF+yuKY1jmSGGYk7NlbdWvz/+q5oxd4ZDh3QM1dMR9nbToZMA2cvzgIFDo3lSTgmvhc3/rAT13jUlUslLMaTeyiN7mfg6F7c5z8fPX/oR+WuYlUkQyZ2tExf1NgjqM8TxLNWhBBCiJVqtX3QGpt4n8wOKlm8lk7Jom5dP0OmwxDdiDJkxlUB2UxzlrbfxjEdRtJDi64zlMFAqn9NHRGvlrHTGMokCH0aftRBsOJWOTF3Em8H7m26umSxOxRaGdFcOcvB9UOq1TqGUhzbG2WxtB+3u1/F3rFeg4UkKMXFuh3tp+zuWdsde/g2igRkYkfLDQygrAQ68JifmNjs5QghhNhGQq1puQGKEMuIuyxaO6tk8WrdgOwGJYu6VYnarVv2kllUE7UrQNRFcT0Dr+sxlEHWidZQdWsEYcA3x7/D6dJZTpXObPjz32qdeWI+nYAsbmNvxd0OTZt608PQPv355ELb/k6GzFpbhmzvYAbDUJRrbSoNDxVnxTplk2J1JCATO5ppmCQHo85O8+PnNncxQgghtpVa0yPUGlsFWKYRHfAaO3u3RzcgcxvoMOxerv02Oq400bVoqLOR7ltUIqi1ZroZNdEavSo7tpHyTlRmWXWrnK1cINTROi9Wxgl1eKO7bjudksUwDsjoZMhMm0rd5bunSkzONzBDj9H+dPd+Ot5Dtpr5Y70c2+w+7qXp2kKZ4g7MRt5KEpCJHa+4N+rO1Jy6RBjurA9mIYQQG2e+EmUV+lMGiig7ttP3KGEnwbSiocPxwb5u1XBf/hL+qW8D198/VnFruIGLaVhr3id2M3JO1Omx3K5wNh46DeCFHjPNuVu2jluhU7Lox9nHToYM0+bUeBk3jC43tM9If8+ssThDxhr3kAGMDURB+2y5tRCQSYZsTSQgEzte/969KNNGe01Kk1c2ezlCCCG2iblKlFXoy0SHSzu9XBGi1vKdLEonq+JfegUCj7AyhdYaXZ0CwMgOLLrvTJwdG0j23ZJyxY5OhmyyMY0buCSsBAfz+wG4Up+8Zeu4FTpdFv1OU494OLePyfh0jSCeT5ZLQDYVlxPqEO13mnqsffB1fz4K6kq1Njpun69lD9ma7Oy8uxCAZdk4/XtoT59nbvwc/WN7NntJQgghtoG5anQQW0gqaIKyd35ABtE+I00tKlMMfMLKVPc6XZ1Guy0wTFRukJbf5ruTz2Mpk1YQ/bwGUwPXe+gN0ZcokrKSNOPGFXszYxQSec5XLna7MO4UnQxZoA1Q0Gp7zFfbzMzVCFKaTCbDbcUiZj6zkM313SjjqRSsw0mFdMIi6Vi0XJ+Gq0iDNPVYI8mQiV2hsDeafdKclLJFIYQQy3O9gGojGqxbSEYHtsYaGyJsG52yNq9NWL4SNfCIBdNnATByg2ileG7qJSrtCnOteRpeg6SVXNLufqOZhsndA3d0v9+bGyOfiMoYq15tR+0js63o0L3UDGm5ARcmq5TrbZq+wrYMjh0cxDQUqmdPV3f/mJVArUPmUilFXy76Ham6UbMbyZCtjWTIxK4wuO8A0y+ZhO0a1bk5CoODm70kIYQQW1ipHgVjmZSNrVpodkfJIix04tN+e1EwBhDORx2LjcIIF6qXmG9F+8kGUv0kzAR3DRwnsQnDs0cyw9w1cByAvJMj1CGmYRKEAQ2v2e3EuN2N9qdJOhb1KpybqQCQdCz2HBmm//YDqGYZ7wpRVqxjHfePdfTnE1yerVNpaUYSSIZsjSRDJnYF23Ews/0A1OdnN3k1QgghtrpOdiyfdroHt7ulZLFb1ua3Ic6uXE1nBzhTOgfAPYN38ujYwzw4fO+mBGMdhwsHOVyIKmIMZZCzo71lFbe6aWtabwnH5B33jpJMRnvBDKXYM5Cmr5jDNIzuSQPdE5CtV4fFXvlM9DytThwmAdmaSEAmdg0zEbVp9VrNTV6JEEKIra7aiA4ws2kbgjgg2y0ZMruTIXO7B/PdAcBAaFi80bhC02+RsBLsy27NvdmdssWdFJAB5NIOb39wP4dG8xway+PYZnce2EIb+gAdly12g7N1LLm1471sXqe5SCBt79dCAjKxa1ipqP2r17r+sEshhBACoBYHZLmU3R16u1sCsu6Bu9eOsmSAkenvXn3WCjhXuQDA8b5jmHGnva0m151PtrMaewCYpk3SMXHiPWX0BmSdfWKdVvRx9kqZ67dTyewGZMai5xCrIwGZ2DXsZFQ/7kuGTAghxDKqzSirkEs73QyZsUtKFnv3kHXL3Xpmjl1RUTbkroHj7M/tvfULXKFsXLJY9xqbvJIN0AnAYsqKvldKda/rNtroNPi46j5r0RlQ7Wlpe78eJCATu4aTikoWg9YO/GAWQgixblwvoO1GzSxyabtb8rVrMmSdkkXPRccNIToBWUsH1E0FSrF3i5YqdqStqDKm6TfRWm/yataZZS/sCVMKlcx2r+oEZ529j91ywnXMZHba73uhgQbJkK2RdFkUu4aTijJkoXvtDcpCCCEELOwfSycsLNPA7S1ZDJbe/nJ9kjPlc9w/dA9Ze/t381O9TT1inZLF+bCNsovknRzOOmZcNkLSSqCUItQhraBNylq/phY3o+W3eGnmNfqTfRwrHl6Xx1TKwL77fehmBeWkUU564cpOY484s9vJkK1nyWInQxYqizDUGBKQrYlkyMSukchEH1baa8osMiGEENc1MRvtNc6mO6VfcabBWnpA2/RbPDf5IqVWmXPlC7dukRvJcqIhwh2GAXYS69BDlAf3oEybgWTf9e+/RRjKIBVnyRre5mxX8EOfb058h+nGDG/MnVzXTJ2yEhi5IVRi8UmAboOP7h6yToZs/QIyQykMpQgNi1Dr7j5LsToSkIldI5mJPrB0GOC128vcWgghxG40PlPn9HgZgIOjeXQYQOBz0ivzudNfZ7oxs+j2J+ZOdr/eKXuVlDKgp329spIopTAHD1JKROWM/dsgIIOFssWGvzkB2XjtMi1/oTKn7t+C35FuhjPOkHUCsnXMkCmlME1FqCy0Ju7qKCe7V0sCMrFrWJbd3ajcbkinRSGEEEuNT0cd+Y7uLbB3MNPdG3MqqBAA3554Fr/TTlxrZpoLsy3LbmXH7FVaNHMt3lPmhz41L/r7WUwUNmNZNy1td/aRbU6wXGqXF31fblc2/DmV2SlZjH53O+3v1TpmyCDaRxYqkzCMf+dDyZKtlgRkYlcxnKh+vNXYeS1whRBCrF1n/9hIX3Qgr32XUOsoaxSX8Z2rXASgHbi4wcIAXi/wNi0Ts95Uz8yqTvOIqlsDrUlYCZLrONNqI6WtaLvCZpUsdgKwzv61SvsWzES7qqkHYbzxcR0zZBA39lAGIVe12Rc3TQIysasY8XBot7EzykqEEEKsHz8IqTXj+WPpOEMUeDTxF3Wom2+VAKh50cm9jJ3pZoxuRQbkVjD69wNQCz2+UjnJm/OnugOW805uM5d2UzoZss0IlP3QpxpnFPfn9gFRFnWjqaubenQabqxzhsyMG3sExlVt9sVNk4BM7CpmMvpgduuSIRNCCLFYremhtSZhmySdOADzXerh4oCsE5h0Bg5nnQyFRB7YQQHZ4EHMocOMh3VcJ8HJ+TPd/XLbKSDrZKY2Y39fxa12M4rD6aHosnZ148taO/v/4oxVp+39enZZBLCMKIwIVfy4vnuDW4sbWfU7841vfIP/7//7/7h48SKVytKaaaUUf/3Xf73mBQqxnpL5PlqXoVWd2+ylCCGE2GIq9YVh0CouT9S+S117YJiMZYc527xEy2/hBm43IMvZ2W4JX9XbGSf8lFKYB+6nTAUVRE0pOnvntlNAlrUzKKVwA5em3+oGaFrr7nu8UUpxcF5MFMg5GQxl4IVRWWvGjip2yu0KaSuFvY4jBDpzyLTvonW4gSWLcYYsDsh0IAHZaq3qnfmd3/kd/u2//bcMDAxw3333cfz48fVelxAbItM3QAkIqqVNXokQQoitprN/LJ/pOTgOPGraRxkWA+kik/YctXadilvtNrjIOVmcOCuxUzotArihRyVooYBiskCpFTWo6GQDtwPLsMg5WSrtKuV2mXK7wquzJ/BCj7v6j3Ok/8CGPXctDtjzTg5DGeScLOV2hXK7QsZOM1mf4nuTLzCUHuStow+t3xN3MmSBu9BhEda9ZLEzHDroZsikZHG1VvXO/N7v/R6PPvoov/Vbv4Vtb+2hgEL0yg8MMQ6EboNWs0EylV72PkIIIXaHSmMhQ9axkCFLkEtkySdy1Np1Su3KQobMyWLFB7tNv0moQwxldKuHNjoTs1Fmm1E1Sc7J8ejow7w6ewKlVLeV/HZRTBSotKvMt8vMtea7bejPVS5uaEDW2bfW+XkVEnnK7QoVt8oeRjlTiebWTTdmqHn1dRsq3t1D5nsL2TEVNeBYT509ZH43QyYB2Wqt6p2pVCr80A/9kARjYttxEgmMZBaA6uzMMrcWQgixmzTbUTYhk7QIG2V06KP9NjXtg2GQT2QpxOV6p0pn8UMfx3TI2GmSZgLTMNFadzv6vTL7Ol84/1XKt6Kz3gaYjlv6D6b6MQ2T+4bu5t7Bu7ZdgNlpuHKlPtXN8gFU3SrNnhlh663z2J3h1AVnYZ9hxa0y11zYPnGxMr5+T9zpshh46M6+LtNa9/dtaYZMShZXa1UB2b333svZs2fXey2rcvr0af7e3/t7PPDAA7zjHe/gV3/1V3Hd5X8h3ve+93H8+PEl/7VlYPCOZ2WLADTmZR+ZEEKIBW03yiYk65fxXvsKwaXXaHlNfB2iDIusk2Ew1Q9AEO+n2pMdw1AGSqnuvqC632C+VeJC5RJB6HOydHpzXtAaaK2Z7QZkA5u8mrXpBGSNuJy0L1mkmIwuu3rQ92r4oc+p0tlF5aqhDml2MmTx2IB8IgrmK26V8dplAJLxnrZLtYn1a/bRux/Njdaw3jPIACwjzpAhe8jWalXvzi//8i/zqU99invuuYcPfvCD672mFSuXy3ziE5/g0KFD/MZv/AaTk5P8y3/5L2m1WvyTf/JPlr3/D/3QD/FTP/VTiy5zHOc6txY7RTLfjztziVZlfrOXIoQQYosIQ03bC0BrzIkXwVAEU6eppaMysoydwTRM+lN9jGSGmaxPAXAgt7f7GBk7Q6Vdpe7VOV2f7l4+WZ+i4la3VTOMuteg6bcwlMFAsm+zl7MmWTtDyk7RjDOXo5lhgjCg1Coz2ZgB1tYL4WTpDGdK5zhTPsc79zxK2k7RDtporTGUQcKMGr7k7Gy3wcil6gQAt/cd5dXZE1GTGK+2Lr8jShkoO4H22uh23GTGNG98p6s0/SZnyudpBy4Hc/sYiE9E9LKsKK/TCchkD9nqrSog+wf/4B/g+z6/8Au/wC//8i8zOjqKYSxOtiml+NznPrcui7yeP/qjP6Jer/Mf/+N/pFgsAhAEAf/3//1/8+lPf5qRkZEb3n9wcJAHHnhgQ9coth473jcWuBtXpiCEEGJ7aXtRdizlVzCNhdKuWlzilktku5fdPXAHVbdGIZEn5yxcnomHEF+qTlB1axjKpC9ZYLY5x9nyee4fuudWvJR1MdOKsmN9ySKmcXMH81uNUoq3jj7EyfkztII2e7N7qHt1mD+95jEFQRhwoXIJiAaDvzjzKo+NPdwtW01aSYx475ZpmBQSeUqtcneg+GBqgL5EkZnmLLPN+fUL2u0keG10qxOQrXybUTtw+fblZ7sZxabX5B1737bkdp2SRU8vjIgQq7OqksViscjBgwd5+OGHueuuu+jv76dYLC76r1AorPdal/j617/OY4891g3GAH74h3+YMAz55je/ueHPL7Yny4nOVGn54BBCCBFrxeWKfcEMvTttavH+r2zPgXLKSvLe/e/koeH7Fj1Gp2Sx0+xjb3aU433HAJioXaEdH4S7gcdsc27LdGQstct89eJTXIyzNgCTcYZvu5crdmTtDA8O38tjYw+TMB0ycQONpt8i6DS+WIWJ+mR3HADAXGseN3BpxPvHrm6Asi+7p/t12k6TspLd7NNsa/22Uignel7din5/V1qyGOqQ5yZf7AZjABW3RqjDJbc1pWRx3awqQ/b444+v9zpW5cyZM/zYj/3Yosvy+TxDQ0OcOXNm2fv/9//+3/mTP/kTbNvm4Ycf5n//3//3dWnh30nhbiYzPmvR+b9YkEynUEqhA3dLvFcrJe/pziTv684k7+v244chhqFIGS5GT4asjo9SUMhEZXs3ek/35Ic5WU51u/jdNnCYnJOlP12k1CpztnqOodQAz0+9jBd3pHtk7EFGM8Mb+MqWd2rqDK2gyenKGQ4V91J1a8y15zBMg/2FsW31t3KlTDOBY9kEBNTdBuYqZ3RNt6YxDMXx/mNcrk9SaVeZc+dwdQvDUGQT6UU/vwOFPbw2dwKArJPCsgxGsgOcLJ2i5JYwTLoZtbUIk2kwFMqtYxiK0DJ4Ze41hlID7M2NXfM+WmvenD1NyS3hWDbv3Pc2nrr0DH7o0wqb3T1wHYmEhWEoAsPCQKFCf8v8rmy3z+D13+F3C1UqFfL5pbMwCoUC5XL5GvdY8L73vY/77ruPPXv2cPHiRf6f/+f/4aMf/Sh//ud/zv79+1e9JsNQ9PWtT9vS9ZDPb6/WtLeCdvu4bJkowi31Xq2UvKc7k7yvO5O8r9vHbN0jlXLIhyHJlIPTvwd3boJ2EGJpk7HBKGi68Xua4UeL38/r0yfJ2GkODEZbJx4y7+LpC89yuX2Zy+3LmI7CJNqzfrZxlmNj+7hcnSLUIS3fRRNyx+CxW9LNsNSqUNUVkikHTUDDqnKpdolkymFffpR9w0MbvobNMjzfx1yzTM2tsyc/etP311rTnmyQTDkcHdtHuurw+vQp6qqKkTBIphxG+vuWHGvc5x3nzdmzPHzoHvqyGQo6xUulDG7g4TktRrNr/5k3K300q+NACJbDGbPBtOcy7U0TOh7D2UEG0/1cKF2i0q5TapVp+y7ldpVkyuHRfQ9yoDjCaH2QmcYcJH36iotfRyuAVMrBTlkkcVAKisX0lurCuV0+g1cdkAVBwOc+9zm+9rWvMTERpbj37NnDe9/7Xj74wQ9i3uTmwVvtl37pl7pfP/zww7zjHe/gh3/4h/nsZz/LL//yL6/6ccNQU6lsfgmCaRrk8ykqlSZBsDTNvJs12yGeH0DQZHa2umT/41Yl7+nOJO/rziTv6/YzPVOj2WhDu06rmSRMDVNtnKbuuijDhDA6sFvJe3ooeRiA+flocHSGPIfTh3h99k0MZXAwv4/b+4/ytYtPM9Ms8UfPf35ph722tSRzFoQBbuCSsld+kKm1pu418EKfYiK/5GD5hanXaTXdqHJEa77yxre6140OjHVfw47kmrTbHlW3vqp/q3WvQalaizJaTYt0kKXVdDnZOg9EP3vdMpf8DPcnDjAyMobtJbrXDZgDnK1d4KWLb5IYXfuMVL8NXjMqIfR0yAmvRKijQO+Fi68DkHWy3eHVHUop7hm8k5wuMj9fx/IdWk2Xi9NT5PXi5i71Wotm06UcKlpG9Fx6toJaZbZxPW2Vz+B8PrWiLN2qfmLVapVPfvKTvPzyy2QymW5G6emnn+aLX/wif/iHf8hnP/tZstnsMo+0Nvl8nmp16WyPcrl803vYhoeHectb3sKrr7665nX5/tb54xsE4ZZaz1Zg2E70h09rWo0WTjK52Uu6KfKe7kzyvu5M8r5uH42WB4GHSUgYasLsCOX9d6GmQvKZQcz4kGm17+mh3EH6nH4Sph21OtdwV98dvDD9MkEQkLSSZOx0dxjzleo0g4nBRY/xvckXmWxM88jIgwynB6/1NIuEOuTZyReZakT7wY4UD5F3cjiGw0CqDzdwuVieINSaewfv5JXZ19Fak3WyHO87Rs7K7+jf36SRQoeamtsgMG/+fZ2pzxOGmnwiiw4VWSvHSHqEy7UrAOzN7WEgMXDNx7WwF12+N7OX0/PnuVydpFpskLLWdmwSGgnCMAryL/k1XNMgbSRIWynmWlGX6UqriqEMDuT3k3dy2PFoh6yd6a4ta2UJQ818s3zN1xGGmpavCB0DwgC/3UI5aw8o18t2+QxeVUD2a7/2a7z66qv80i/9Ev/T//Q/dQdEe57H//v//r/883/+z/m1X/s1/q//6/9a18Ve7ciRI0v2ilWrVaanpzly5MiGPrfYvizLBsOC0Mdtb7+ATAghxPpruQFW0MIyDZSdRBkmc4bGSBcYzO9Z/gFWoHDVHpzRzDA/mPo+WkGbVNyNb7I+xfcmX+gOZe6ourVuq/3vXnmO/lQ/jmEzkh5ib3bsmmVib8yf6gZjAGdK57pfG8rAMixCHdKX7ONAfh+DqQGUgqSZ3FJlZxslHTdhqbXrsIrKtlI72h5TTBaB6Gf60PB9lAoH8QKfwVT/in+OOSdLX7LIfKvEVGOag/nVb58Boi6LsTndBiPLwfx+jhUPE4QBT008Q82tcbz/GEcKh677MJ2uj5V2Fa31otdjmXFTjxCUZaPdAO27Wyog2y5WVav1pS99iY985CN87GMf6wZjALZt89GPfpSPfOQjfOELX1i3RV7Pu9/9bp5++mkqlYWWpU888QSGYfCOd7zjph5rcnKSZ599lnvvvXe9lym2IMOKave9lgwCF0IIEQ2FtsJWdJCZiA4oZ+NMwkbO4TINk4yd7jZy6I8P4hteY1EXxvOVi4vuN9ec40p9khenX+Frl77JibmTizrhNf0WZ8pR6dxDI/d3D/CTVhLbtAl12G29frR4CIC0nSJlpXZFMAaQiUs/a+7qyjJL8UiEYmJxP4NiosBQeuCmf45DqSjrOXNVML4a3S6LWjMftsG0u7/HpmHyttG38MjogxzOH7zh4+ScLKZh4YUelavKGxN2tD0pCEICmUW2JqvKkJVKJQ4fPnzd6w8fPrxsU4318BM/8RM8/vjj/MzP/Ayf/vSnmZyc5Fd/9Vf5iZ/4iUUzyD7xiU8wMTHBl770JQA+//nP89WvfpX3vOc9DA8Pc/HiRX7rt34L0zT5e3/v7234usXmU7YDbgNfZpEJIYQgnkMW1HiTMs1WwJ21K9TdOihF/y0cjGwbFn3JPuaac1ysjnNH/22U2mUuVscBOFY8wly7xFBqgFCHnC2fp+E1OF06ix/63DN4JxC12Udr+pN9jGVGGE0Psy+3pzucuB2041lZioHU9h78vFrZuPV9w2viBR6KG/c/CHXIlfoUxUSBlJWk6kWB3HrNDhtM9fPmPMw25wl1uLZui/HcsZr2cXWIky5Q6Akck1aCpLV88xBDGfQni0w3ZphrzS/K8lqmQdKxaLk+bW2SQkYKrdaqArKDBw/yla98hY997GPXvP4rX/kKBw4cWNPCVqJQKPC7v/u7/NN/+k/5mZ/5GTKZDD/+4z/O//a//W+LbheGIUGwMGNi3759TE1N8Su/8itUq1VyuRyPPvooP/dzP7emDoti+zAshwDwWhKQCSGEiEoW57hEliY2aZ6ffhmIsh/OTQzVXQ+H8vuZa85xpnyOlJXkVOksoQ4ZyQxze9/RRZmXw/kDTNSv8MrsCc5XLlJMFNibHWO8FjVc25uNWpwrpSgmFvbXp6woG7abOaZDxk4T4DPXKjGQuP7MNT/0eXbyRWaasxQTBR4auY8g9FFKdefPrVUhkcc2bLzQo9yu0BeXQq5G53ekpNuoZIb+ZP+qA7z+ZB/TjRlen3sDL/Q4WjjUHRaeSUUBWSu0oqrPeCC2uDmrCsg+8pGP8E//6T/lU5/6FJ/4xCc4dOgQAGfPnuXxxx/n6aef3vD9Yx1Hjx7lP//n/3zD21w9N+2BBx7YMrPUxOZQdlSy6LtyJkcIIXY7zw/xfJ8mNfIGUXYh7np4rHD9iqCNMpYZYSw7yuXaFV6ZiTriZZwM9w/ds6QMzjZtDub34wYub86f5rXZN9Boqm4NQ5mMZUau9RQi1p/qY9qbZq41f8OA7Ez5fLeUsNQuM1GbBCBjZ9ZlbhhE2aiBVD9X6pNcaUytKSADMPfdQ/nysxjZgTU9VqfUUWvNyfnTeKHPgdxeMnaabMpmttyiGdr0AdqTE92rsaqA7GMf+xhzc3P81m/9Fk899dTiB7QsfuZnfoaPfvSj67JAITaCaScACOSDQwghdr2W69OmgYGPo0wOFQ5y1q9QTBQYTm/OHK77Bu8iYSa4VB1nINnHfUP3YBvXP2w7WjzMVGOGUrvMS9NRx+gD+b3Ytzi7t930J6OAbLI+jaMSzLfLHCkcXFKGONnTHAXgxNybwELZ43rZmx3lSn2SS9UJjvcdW1OwZ43ehqvLqObcmrJ4hUQe27S7w8zPlc9zrnye/lQ/eSfag9YITDBAu5IhW41VDwr4+3//7/Oxj32Mb33rW4yPR3XNe/fu5bHHHqO/v3/dFijERjCcOCCTDJkQQux6LTegretYSlM0HG7rO0oqbDKaGdq0BheWYXH3wHHu6r99RWswlMGDw/fynSvPU/fqpKwkt/cduwUr3d4GUn1QjbpYdrKRU41p3jb6lu6eq5bfptKOGsjdN3R3N+AFyDnrG5ANp4dIWAnafpunxr/NPYN3rmkPY8uPTjwnzdV3lDaUwWNjjxDogAuVS939jHPNOWphCAxSD6yoVaCc6F6VNU1u6+/v50d+5EfWay1C3DJWXLIYeNJlUQghdruWG9CiRkqFFJSDaSU4nNqczNjVbiYgTNtp3r7nrVysjjOSHrphRk1E0laKnJOh1XTJOlkMpai0q7w4/Qrv2vsYSqnuCIJ8Is/e7Bhnyue7A5Wz9vrO3DWUwYHcXk7On6Hq1vjelRd4977Hotl1N0lrTcuPjnNSVmJN68o50essDOY5UjxE3WvwvSvP4xF1Aq16JthSsrhaK/qXOjERbQzds2fPou+X07m9EFuN5UQfbKEnGTIhhNjtmm2flq6RQdNnJFDxaJTtyDHtbht7sTylFO859CiXZ+fImTm80OdrF5+i6ta4XJ9kT3aU6eYMAMOpQQxlcEf/bXzvyvMAZNc5QwZwtHAY23C4WB2n6lZ5dfYEbxl54KYfxw09Qh01tVtNQHctSimydgZFfKLAiB6/GVoEocZ0m0vmlYnlrSgge9/73odSihdffBHHcbrfL+f1119f8wKF2AhWp2RRAjIhhNj1qq0mgW5hKkVBOd2W4WJ3SDsp+pNFfD/EMW0OFw7w5vxpTpXOMpoZ7jbzGEpHTT+GU4McLhzECz1y65whg2hO2OHCAQZSfTw1/m2u1Kcot6tLBosvp1OumLAS69Z4pMMxo5MWmgDHVng6geeHmEYAgQfb+KTGZlhRQPYrv/IrKKW6Q6A73wuxXdnJeGCizCETQohdb7Y5j9IhOcPGshyUceN5VGJnO5g/wJulM1TdKlfqU3iBh23Y3bEBSinuGji+4evIOzlGMyNcrl3hbOU8Dwzdc1P3X9g/trZyxWuxlImhTEId4CQ0rmfgYZFEo93mts4yb4YVBWR/+2//7Rt+L8R2k8xGZ7RCt0EYhhjG+p45EkIIsX2U2mUUQVSuaMqB5G7nmDZ9iSLzrXlenT0BwGB6YN2zTCtxpHCQy7UrXK5d4c7+20ncxO9nK4j2j61XuWIvpRQJy6HpNbEcDShcbMDFe/Ob2IcfwiiMrvvz7lSr+s36xV/8RV588cXrXv/SSy/xi7/4i6telBAbLZnNgFKgQ1qNxmYvRwghxCYqu2WUDukzE2BJuaKAoVRUnugGbvz94Kaso5gokE/kCHXIdGPmpu7bjDNkqQ0IyAASRhQcmla0j6wdxFf4bbzTzxDWZjfkeXeiVQVkf/Znf8aFCxeue/2lS5f48z//89WuSYgNZxomhh2VLbZq1U1ejRBCiM0ShAE1v4bSIQPW9m7oIdZPZ78YRAHN6CbNo4OFYLDT7XGl1qPl/Y109pFZdjREval6Zp2FIf7FlzfkeXeiDcm9Tk1NkUxuzJsvxHoxEtEHR7te2+SVCCGEuFX8iddxX/sq2o8yH/ONKqEOsDXkTQekZFEABSfPUHqQvmSRx/a8dVMHbHcCspnmLKEOV3y/Zrdkcf33kAHd8kllRqmxucRezMFDWEffBoBuyfHVSq14QMVf//Vf8+Uvf7n7/Z/8yZ/w9NNPL7ldtVrl6aef5p57bm7jodga3MBjtjVHy2+RMBOMZoY3pWb6VjCTGfzqDG6jvtlLEUIIsUZe6PPi9Cv0J/s4Ujh4zdtorQmmToPvEVYmMfv3M1UrA5A1HQxDoaRkURDtkXrr6EObvQwA+pIFLMPCDVxK7fKKB0U3vWhLRtpKbci6OhkyIw7IqkEC69Dt3ZMdBB469FEyD29ZK/4JnT59mieeeAKg2wL/lVdeWXQbpRTpdJpHHnmEz3zmM+u7UrGugjCg7FZoeE1CHeLrgEq7wuX6VHdmBUDWyXK87ygj6eEd11nTSmdoA25DzuAIIcR2d6k6zmR9iqnGNHsyI0saGZTbVWy/jel7AOhmVK4+EwdkxU4GRDJkYosxlMFIZpjx6gSvzr7BO/a8ddmT5UEYdPeQZez0DW+7WldnyNpegB+EmKYNhglhAF4bEhKQLWfFP6FPf/rTfPrTnwbgjjvu4J//83/OBz/4wQ1bmFhfLb/N6fI5vMDFD31mW/P4oX/N22adLDkny2xzjppb49nJFzmY3889g3fe4lVvrEQ6Qx3wW5IhE0KI7UxrzYXqeM/Xl7i97xgAoQ55bfYNzlcuYrUbvE37pJSFblYAmIv/32clAC3zk8SWdEffMaYa01TaFS5WxzmY33/D29f9KDtmGza2sTFZ30TcTt/XHrZl4PkhzbZPLu2g7AS63UB7bVRi/Ydn7zSrCllPnDix3usQG+zE3JuM1y4vuixhJcjZ2ajBhTJIWymG04P0JYoopXADjzPlc5wuneVC9RKHCwc37CzLZnDSUev7oCVdFoUQYjubb5eouQvVDucrlzhaOIxpmJyrXOR85SIAbqvK816dR+1hVCvKkM23ooCs37IAT0oWxZaUtJIcyO3jdOksVXf5yp5GXK6YsdMbVuHUKVl0Q49UwsLzXRpxQIadhHYD7cu815WQHOIOF+qQmltnvH4FgNv7juKYDjkn2w28rscxbe7ov42KW2W6McPXLz3N/txehtKDjGxit6H1ksxEE+/DtgRkQgixnc3E3efGsqOUWiWafouJ+iR7MiOcLp0F4FjxCKdnL1AJXcrapa9dx/Nb1OK/Af2WDdqTkkWxZXUyUu24Ff+N1HoCso1bTxyQBS79GYdK3WV6vslIXxplJdAQlSyKZa06IHvyySf5z//5P/Paa69RrVbRWi+5zeuvv76mxYnVm6xP8/TUtynVahAq0JqR9BC39R296ce6rXiE6bizz/n4TONDI/czlhnZgJXfOul8HqUMtN+mXimTyRc2e0lCCCFWodSOslwDyT7yTo435k5yrnKecruMG7ik7TTHiocpB09yGZjWbfp0gnLlCp4fYmKTMxX4SIZMbFmdAOjqgKzlt5huzrI3O9bdW1a/BQFZMg4Q3cBlqC/BxakaEzN17j7cj7KjPZzakwzZSqyqfd4XvvAFfvqnf5qZmRk+8IEPEIYhP/IjP8IHPvABkskkx48f52d+5mfWe61ihdqBy3evPE/daxKEAV7okbbT3DFw+6oery9Z5O1jj3Dv4F2MZoYBODF38qZar25FtuNgZvsBmJu4uMmrEUIIsRpaa8pxQFZI5DmQ24tpmFTa1W6p4h39t2HokEEVHUDOmNF9J2bH0WjSZhaLeF+1ZMjEFrWQIVvIOmmt+dbl7/HS9KtcjPdRQm9AtnH7t2zTJhG31M9kNZZp0Gj7lGou2HGrfcmQrciqMmS/+Zu/yX333cd/+S//hXK5zB/+4R/yYz/2Yzz22GNcunSJD3/4w+zbt2+91ypWyDYsDub3MVAskAlztD2PYqKwpvb1fckifckiY9lR5tvfpOE1uFSd4EB+e7/P6aExKtUZalMTcIeMahBCiO2m6TdxAxdDGd190fcP3cOJuZO0/BZ3D97BWGYE7TYYNJIoQ1EzFK3A5/zcBABDqX4ILgF0z+wLsdUkrIUSwY6Z5lx3v9iFnmYfdS9qWLbRe/8zdoa236YVNhnpTzM+XWNqvkE+JRmym7GqI/TTp0/zgQ98ANM0sawopvP96MzSvn37+MhHPsJv//Zvr98qxU0xlMG9Q3dx9/DtFBJ5+pN96zZLzDYsjhYOAXCmcv6aparbSWE0Cii9+UmCMFjm1kIIIbaaTrlizomCMYCxzAjft+8d/I2D7+VALvqc175HQpkUzTSYFue9GhOVGQDuHRwArcG0pcui2LK6XQ1Dv3vMcqZ8rnt9za0ThAHtwI2CNqU2PCDLxo9fdWvkUlG5b9MNuhky7UuGbCVWdZSeTCax7eiHns/ncRyH6enp7vWDg4NcunRpfVYotpx9ub1YhkXdrTPdnNns5axJYXgYZdrowKM+P7/ZyxFCCHGTessVeymlugEaAPGolzGnAKbFq815dOiTT2Q5VIgOHlUis+Nmboqdw1Imhop+p9tBm1CHzLVK3etDHTDTmqPSjjqIZqw01gYPZc7GJZF1r07CidfmBqjOHEDJkK3IqgKyw4cPc/r06e73d955J//tv/03fN+n3W7z+c9/nrGxsXVbpNhabMNibzZ6fycb08vcemszDRPlRBPs3ZZ8aAghxHYz05oDoD/Zd+MbxgOhR50i2rBouT6G9rl79CDKjUq+VFLmJYmtSynVLVtsBy5Nv0WoAwxldreQTDWmqXpRQJZP5DZ8TVk7GiFU8xokOwGZF6A6GTKvve2rqW6FVQVkP/iDP8iXv/xlXDeqYf3pn/5pvvOd7/DII4/w6KOP8r3vfY//5X/5X9Z1oWJryTrRHy038G75c8+15hmvXY7PDM3z5vwprtSnVv0P3og7avmupNWFEGI7aQculW6Hxf4b3lbHf6+SdgonLBBqTVFbvPXAneh2NNdJJbIbu2Ah1qi302Jn9l7WSXc7X1+uTy6U8dob//ucdaKSxYbXQBkB5XCKRtuN5pABhAFswrHidrOqPOYnP/lJPvnJT3a/f+9738vjjz/OF7/4RUzT5D3veQ+PPvroui1SbD2dqe9eeOv+kTX9JqdL57pds141Tix6/uH0EA+PPHDT5SYqPtskAZkQQmwvnflj+USOZNzt7brig0JXG/jlEfZ7We7MFTEV+K2oAYJKSIZMbG29nRa9uAw3a2fpT/aRsBK0/TaXa9Hs2VuRIUuaSUzDIgh9Xiq9wIy+TNBugzoIVgL8NtprdY+1xLXddEDmui7f+MY32Lt3L3fccUf38ocffpiHH354XRcntq6NCsi01tS8OpONaWabc9T9BlprLMOi5tWjTddEpYZe6GEaJoOpAaYbs0w1pjlXucjhwoGbek7TdvCAwF1+0KIQQuxEV+pTnCqd4f6he8g5G3NW/WJ1gqbf5LbikZs+cRaEARW3StbJYsd/DyxlMtWI9jEPJgeWfYxOhuzcZAOfYY5ZBQZzKfBa6LYEZGJ76M2QNfwmEO3jMpTBnswoZ8vnu7fNOxsfkCml2Jsd5ULlEu0wWk85mKHteRhOMmrq4TYhlV/mkXa3mw7IbNvm53/+5/k//8//c1FAJnYXx4wDsnVMQzf9Fs9ceZa6W7/ubQZS/RwrHiZjZyi1ywymBrANi/OVi7wy8zon5k5STOTpSxZX/LyGHX24BZIhE0LsQkEY8OzkC0A0Y/KR0QfX/TlafpuXZ15Fa03ByTESz7RcqRPzpzhXPo+hDFJWirpXxzTMbqe5kczQ8g8SeHhByFwjhIxi79gARthCuw10Zw+ZBGRii1sIyNpU45LFXLyN5FB+P+O1y7iBS8pOdQc3b7RjxcNcqk4AIYahCEOfC5UrHLaTaMrS+n4FbjogU0px6NAh5qUj3a7WyZC5cbp8PVysjlN36xjKZDDVz1B6gIKTRymFG7jknRxJa2E+TKrn6wO5fUw1ZphqTPPMlefoTxa5d/CuRbe5HjPeeOrL8EIhxC50qTbR/brULqO1XvdOg5dqE919vuerl24qINNac6U+CUCow+58pU4wdqR4aPmGHgCBR63hEWDSn0+STGQIay3C2lxUfWGYC/tehNiiOiWLDa/Z/beQjbPaaTvN+/a/i+nmLBk7fcs6hqasFMf7jzFeu8ygnWCqfYXz5UscsaOmadpt3pJ1bGer2kP26U9/mn/5L/8l73//+zly5Mh6r0lsA52ALAh9Qh2uy5yzzh/cewbvZH9uz03dVynFg8P38p0rzzHfKjHdmOFC5RLH+48te1/TiT7cQk9KFoUQu4vWmrOVC93v3cCl5tXXtWxRa83F6nj3++nmLA2vQXqF85HqXoOW38JQBu/c+ygNv0nOzjDTnMMNPY4UDq5sHYFHpeES2hb7BzPQjg8W61GXRuXcugNYIVarUwHU2T9pmzZpK9W93jRMRm8yA70ejhQOcaRwCHf6LFPtK8w252kVMtjQbX2/ESd7dopVBWQvvvgixWKRD37wg7z1rW9l7969JJNLzyr90i/90poXKLYmyzBBKdAaL/S7KfTVqro1qm4NQxmMpFdQenLNNVk8OvYwb8yd4kz5HJON6RUFZJYTrT2UDJkQYpepuLVuZUIhkWe+Nc9kY3pdA7K51jwNr4FpWOScDKVWmenmLAdXGJDNtKIDz75kkZyT7a7twE0OvK3VmjTbPjphs2cwg5qKjlvCWhyQJTZ2gK4Q6yFnZ0nbaRpeVGa7JzO6LifF10s+mSGpcnhBwOWgwQEgdBucLp3jTPkcd/bfzr6bPOm+G6wqIPv93//97tff+ta3rnkbpZQEZDuYoQxsw8ILPLzAW3NA1smODaT6u/vTVruuo8VDnKmcp+pWaXhN0nbqhvfpZsh8acsqhNjZmn6Li9Vx9mX3kLZTXK5H3diG04P0J4vMt+Yp9QyaXQ+d7Nje7CiO4VBqlSm1K6wsrwXTjSggG0wt37jjerTWTEyVABgZzJNKWATxDEr8qDqiM5NSiK1MKcVoZpgzpXMA3bmwW0XCNsjSTxBMcsWvcgA4VZ/grBntd3tp5lX6k8UVZ8h3i1UFZCdOnFjvdYhtyDbsKCBbh06Ll+OAbCwzuubHckyH/kSRufhM73JdF20nOkuqfSlZFELsXF7o890rz1F1a0zUrvD2PW9lonYZgLHMSPfEWtW7fmOlm+UGHpfrUwDsz+2l5UeVCOV4TtJyal6dqWbUSXG11RMAlbpLs94koRRH9keBnbq665sjB4hie9iTGeVM+TxZO0MxUdjs5SySsE2yqo9SOEk5aHElaHDaK2Pko39vWmtemT3BW0cf2uSVbi2rCsiEAHAMmwbgrjEgW49yxauNZoaZa81zqnSGPdnRG2bw7GQ8TV4CMiHEDvbm/OluV7a6V+dL578KRCexRtJDBDoEogGvXuhjG2s/RJioXybUATknR8HJkzCjgKzm1QjCANMwl9zHD33enD+NYzrMNqOGGyPpoTWVUc5UWhg6IJ2wSKaik3AqubgluJKATGwThUSed+55GwnT2XJ7stJJG1PZ2GEWTJcXvCjDPZYe4o6B2/n6paeZbsww3yrdVEfsnW5NRacvvPACv/mbv8mv/MqvcO7cOQCazSavvvoq9fr6nWETW5O9Tq3v16tcsdeB3D5yTg43cHnm8ve6m1+vxYpLFnXgEYbhujy/EEJsNXOtqDvy4cJBDLUQCB0rHsE0TBzTJhEPV67Fgdta9Dbz2J/bi1KKpJkgYSXQWlNxq9e839nyec6Wz/PG3MnuZ/exvrU1EJuvtDG0TyphoTp/Z+wk9AyrlZJFsZ0UEvlFnae3ioF89BlitPKEGKAUjjK4K3eQrJ1hbzbaP/bm/OnNXOaWs6qAzHVdfvZnf5aPfOQj/Nqv/RqPP/44ly9HZQ+GYfBTP/VT/N7v/d66LlRsPesxHDrUIRfiP9h71qFcscM0TB4YvgfbtKm6NZ65/Cyvzb5xzds6cYYMrfFlOLQQYgfSWndbZB/I7+OhkfswlEHGyXAgt7d7u84g2U4mzQt95lslvFWMOCm7FSrtKoYyu/tclFIUnKh0ab5dXnKf3r8JAGPZUR4efXDNZVmz5QZKB6QSFsQBmVIKlVzIuklTDyHWLp20yaRs0hTxPYVtObzFHiIZj724rXgYpRQzzdnrnpTZjVYVkP2H//Af+NrXvsYv//Iv88QTT3RniwAkEgne//738+Uvf3ndFim2pk45y1oCsku1CVp+i4SVYCwzsl5LA6IDi+/b9w4O5vcD0VnXcnvpP37LsiF+LW5bhhcKIXaept8iCAMMZZC2Uoykh3jv/nfyjrG3Liob7JQFdg6UXpx+hacnvsNfn/8ap0pnu3/vz5TP8ZWL3+BL57923f1gnezYaGZ4UfXDYKofgHOVC5ycP813rjzHq7Mn0Foz2Zim5bdwTIf3H/p+Hhq+b82l7I2WT7vVQqFIJkwwF0oxldUzOFdmkAmxLgYLSQxlcsi5h3fnbqNgOGg3Or5K22lG4+O9s+ULN3qYXWVVAdlf/MVf8BM/8RN8+MMfplBYetbq6NGjXLx4cc2LE1tbdzj0KkoW/dDnmcvP8vL0awAczh+85l6CtXJMh3sG72QoPQhw3dLFTgmL15LW9xtFe228N58imL32Z4PWId65Z/HHo9+JsDKNe+JJwkbpFq5SiJ2pFmfH0na62yI7aSW7pecdOTsKyMrtCi2/zWRjGogyV2/MneRU6QxNv8WJuZM0vSZu4PLG/Kklz+eHPhO1qIPj/p4MHMC+3F5s06bpNXlz/jTTjRnOlS9wrnKRk3EZ04HcvnX7mzAX7x9LOCaGZaN6W4T3PIfaQq3DhdjOhgpR+W+lokl0stDewnDow/mo2dp4bYJzFQnKYJUB2ezsLMePH7/u9aZp0mpJpmGn6+4hW6aURWvNdGOWV2dP8OL0K4zXLvP81MvMNGdRSjGSGeZgft+GrnUotUxAZkf7CHyZRbZhgstvEFam8c9+b1FWvUPXZglnLhBcfgMd+nhvPoWuzeGf+d4mrFaInaVTrpi1Mze83UCqH6UUpXaZE3NvgtYUkwXuHLgdgAvVcc6VL6C17u5fmW7MUIrLD7XWaK25XJ/ED33SdpqBZN+i57ANi0PxAZlt2OQTUQnja7MnqLo1bNPm8AqHPa/EXLWFFbZJJ6zFGTHAHL0NAKN/Y/8GCbGbDBSiz4Zy3SUw4n363kJc0Jcssjc7htaaV2dO3HCf/26xqhZKY2NjnDlz5rrXP/fccxw4cONW42L762TIqm6Nhtcg1JorjSnK7QpVt0aoAwZS/TS8ZnczOcCl6gQQzQx729hb6L/qj/VGGIrn18y15q/Z2cuwEoRAq7ayVszi5mm3sfB1u7akw5luVnuu77mtLyd3hFir2goDspSVZE92jPHqBONxS/w9mTEO5Pby5vwZWn6LM+VzANwzeCdX6pNcqk7wwtQrJK0E860SSSuJH5+o6zTzuNqx4mFSVoqBZJGUleLZqReZjNvjHyseWbcGTwCzlTZW0CKVMFGJxa/fSBdx7ns/XBWoCSFWL5WwyKUdqg2XsmtQBLTbXHSb+4fuQSmDS9VxzlcurmnO4E6wqgzZ3/ybf5M/+qM/4vnnn+9e1vnA/ZM/+RP+6q/+ir/1t/7WuixQbF2ZeOBy1a3y1YtP8eT407wxd5Ir9UnqXp2m3+JSdYK51jymYXIgv4/DhYOk7TSDqQEeGX3olgRj0VrTpKwkoQ45HR9M9EoPRRvOS+fekE6LG0Q3F4JdXZ5ccn1YXwjadXuhw5sy1u/ATIidKAgDzlUucCUOaK6l5sYBmXPjgAzgaOEQxH/TbdNmT3YU0zAZivd+AeQTOYZTg9xWPIppmNS9OrPNOUId0vAauIFLPpHvliZdzVAG+3N7SNtplFK8Zfh+3rn3MR4eeeC691kNzw+p1F3soEkyYaGSS1+/clIoQ8oVhVhPg3GWbK4Zn5DxFp9cVUpxJM6Ed/aOroXWmiv1Kc6Uz62qCdFmW1WG7Kd/+qd58cUX+Tt/5+9w5MgRlFL8i3/xLyiXy1y5coX3vOc9/ORP/uQ6L1VsNf3JPh4efZDzlYtMN2ZAa4bSgwwk+8k7OTSaU6WzmMrg3sE7u1PZ7xq4frnrRlFKcazvCC9Pv8bJ+dP0JYoMpRfOxuw9fjfVc68RNspMXzzPyMHDt3yNO5n22+j2wiiMsDKFOXJs8W16A7J6aeEKU8YlCnE9QRjwjYlvU3frGMrkhw69t7tHrKPlt7olhZ0uijeSc7I8OvoW3NBjILkwjmQ4PdwN+u4ZuBOlFGk7xe19R3l99k0SVoKHRx7gUnWCqlvj/qF7VrwPTClFIZGjkFh+fTdjvtpCa03WcLFNA5VY/SwzIcTKDRZTnL1cYaauOewszZBB9FnTlywy3ypxpnx+1ceH0dD755mPq7HOli/wrv1vo4/lT0BtFas60nEch9/5nd/hc5/7HF/4whcIwxDXdTl+/Dj/4B/8Az70oQ9tuUF1YmOMpIcYSQ/R9JtorbtBV8dw3ExjKziQ28dcq8R4dYKp5vSigMxJJkmOHKQ5cYrq1IQEZCuk23VQxrLze3qDLYCwNofWGqUUWmvC8mV0a6FkMaz0nOkPg3VdsxA7yXRzlnqc/Qp1QN1rLBmgfLZygVCH9CX7VjxceaAnG9Yxlhlmsj5EMVlcNND1cP4gWTtL3smRtBJrblG/XsJQc3oiyswX7Kj51NUli0KIjRF1WlSUXYOpepORfqP7d7/XseIRvnvlOc5VLrA3u+emT8qEOuR7ky8w35rHMqxuw6BodMfWOQZdzqpPPSul+NCHPsSHPvSh9VyP2KZS1vYYqDmQ7Ge8OkHlGkNPE9k8TcCXhjQron0X97WvogwT+94fRBnX/jjRWhPMRl2UjP69hPMTEHjgu2AnCKfP4F94afF9erNlvjRaEeJ62sHifx81r74o6PJDnwuVSwAcLR5a03NZhsXDow8uuVwptaVOvkEUjH3nxCSTcw1MBYOpuBRdAjIhbomEbXLv0QFePhUyP9cim7JwAnfJfs3h9CCjmRGu1Cc5XT7LQ8P3AVH2v+rV0FpTSOSXZP473pg7xVxzDsuweHTsYbJ2hqbfophe32z7RpNaILGr5OMDlapbXXKmxk5EQWV4jbS6WErX5iDw0IFHODeOOXjtrmjh9FnCuXFQBubwUXRtHu02on1ilk0wGbW5RhmYQwcJps4ufoDAR4f+dQM+IXYzN1g8zL7m1qBnpuNE/Qp+6JOxMwyntlbQtBG01py5XOHc5SrVhotpKN52ex+p81FnVxn+LMStc3gsT7Xh4s/alKouxUYZb+J1zMFDi44ZjhYPcaU+yVRjpjsv8dmpF6PtMER7Vh8YupeckyUIAwId4JgOE7Ur3SZD9w/dQyHu2LqSvbJbzYqOcP7u3/27N/3ASil+93d/96bvJ8RGytoZlFJ4gUcraJOyFgaBOqnoD3XgSoZsJcLGQhbLP/cchAHG0KEls3zCUtSpzdxzB0Z2AJXMxAFZHXwv+r/l4Nz3QxD4SwMyAK8NCQnIhLhaOw7IDGUQ6pCqV190fWc48/W6He4049N1Xj4dtdA2TYO33TnMoN3Co9O8Qz5HhLiVDo/lOfFqglqzTuPMC9h+Hb82hzFwoPuZVHDyJK0kLb/FTGsOP/S7wZihTCrtKi9Ov8LdA3fw/NRLtIJ2N6sGcLhwkNHM8Ka9xvWworZCnbkiN/OfdKoTW5FpmGTits9Vt7roOicdBWTX2ngqlrp6X5h/4UV0ZWmXNx0PDjfS0b6Szh4O3a4TzEelVObAgehAyUqA5Sx9DN9dcpkQYiEg63Ss7XRThGgkSalVRinF3uzYpqzvVmp7AS+diYKxo3sL/I2H9zPcl+42FJL9Y0Lcerm0QyobNXqrzs91L+/dN66UYiQ9BMDp0jlenT0BwO19x/i+/e/AUCbldoWnJ75D048a9VyuXUFrzd7cHu7sv/3WvqgNsKJTRY8//vhGr0OIWybnZKm5NSpujeH4AwAgEWfIdODh+x6WJe3Wr0dr3W1Tb+65k2Di9ejynvlhXZ1gyowDrbjLmW7VFg6UslGDFaUU9pFHoqyanSScH0c3yiD7yIS4pk7J4kCqn5nmLHWvQahDDGV0zx4PpQZJ7oI5W1PzTVwvIJd2uPtQP4YRnX3vjNGQDotCbI58/wDzpcs0Wh79uXhQdGUKUvnubfZmxzhfvdTtlNiXLHKkcBDTMNmbHe1m+4fSg+zL7mGmOctIZpjh1OCOyP7L4A2x63TaPpfbi4dA24kExOV27cY1AguxoF2PAi3DwBy9HXMo6kp5rQYcOj5gVHHmqzdDdq0z10Z+GOvA/Vhjx1F2VFKqPQnIhLiWToasmChgGiahDmjG83yuNKKM9XYv5Vmp2XL0ukf6U91gDFgYuXGNGWRCiI2XG4r2tTbbPjq+LLxqHmlfssgjIw/SlywymhnmraMPdcdmHCkcwjRMCok8Dw3fx57sKPcN3c1IemhHBGOwhqYeQRDwxBNP8MwzzzA7O8vP/dzPcfz4carVKt/61rd46KGHGBzc+RuIxfYzEJf2zDRnu2eSAQzDwLCThG6DdqNBJr81WjdvRZ39YypdjAaq2vHZ96sCMq1D8KOSReJZRt2ArKfk8bqlRPFZfSlZFOLaOhmyhOmQttJU3Sp1r44CKu3qolKgnW62EgVkA/nkosulZFGIzZUfHMI0FEGoabsBScckrM0uaa42nB68ZsfWrJPhffvfjWWY1+22uN2t6lVVKhU+8pGP8I/+0T/i85//PF/5yleYm4vqQtPpNP/sn/0zfu/3fm9dFyrEeikmCjimgx/6zLUW74NSTvSH3G1Khuxq5XaVK/XJaJ9oHEwZ6Si47WS/lgRO8f4xAOISUHXVWWrlJFHXGf6srhPoCSGittBeGP0bS5gJMvEcyLrXYKoZbYjvT/bhmEv3Ze40bTeg2oj3010dkLUkIBNiM5mJNIlM3OU6sMEwohmj7sqPtRzT3rHBGKwyIPs3/+bfcPLkST772c/y13/912itu9eZpskP/dAP8eSTT67bIoVYT9HMnOiM8WRjetF1Ztz63mvt7MYeQRhwvnKRF6ZfYb5VWnJ902/x5vxpnp18kb++8P+z995hklzlvf/nVFXnPDnvbA5a7WqlVUJCBJEksEnCZDDBiCBjkHHC5gI26fK7BoPBiCCRg+WLuQYsKyGShHJabc47OU/nWFXn90d198zszOzOzs7szKzO53n22elKfbqru7q+533f7/tb7u36Lff3Psjjg09zJHG8Wj8mAo4gq/YVOTm1cFJ0rOK+KDQD4Z+IPp5c12FaNoViuRl0RejNkrJYsk0eGXiC/WOH5vrSFYrzhqI94bDo0owpgiyeTwATGQHnOyMJ55odDrjxuPTqcmkWqxM6qoZMoVg6vFEn8pWWPoTXKR2RueSpdnlWMa+UxV/96le89a1v5aqrrmJ8fHza+s7OTn72s5+d9eAUisWi0V9PT6qXE8luYp4oLcEm4NkjyJ4e2UN/egCA3nR/tSg2YPgJe0I8M7IPyzZn3PfA2CGC6QQxDEQgCoCophaelLJoVurHphqkaOFGrKxzwzi5UWs6V+L+Xf2UTIvLtzRSW+4lIrPxGcdyLHGc4ewIw9kRVoXbq20MilaRJ4eeod5fy5pI59zelJOoTDSdL/npivOPSv2YW3c739+yg2ymlCVrOtewqCd6RseUUmKPdiH80aoz6krg+IDj2NYQ801ZXk1XdM0eiVcoFIuPp64duo8xrsUQXpDZBHY+hUaz0890+DhaTRvC7Tv9wc5D5nV1SqVStLW1zbreNE0sy5r3oBSKxabBX0dzsIn+9AC7RvbSFGhAExpGWZCZ+fM3ZTFvFibc1/x1DGdHGDopUghUC2sj7giaELh0F4fGj9I7fozuUoKYr2lixrmcWihLU1MWD8ePMlIaZptvDZOTprRIA9bAQWAijahYsvjDM/3ki44QfGjPIGGPZHvRwk8SWcxNuVAXrRLHEl3Vx/d1/Q6f4eWC2k2kS1lGcqOM5EYxhEFHePbr1UxYtsWTQ7sYLyS4uvVyfMaz8wdCsbyZLMgAguUI2Vg+ji2d3+CoJzzzzrNgDx7G7NmNcPud3oArgESmyHA8hxCCNc3O65W2DdJW9WMKxTIh2LyK493PRaCDx7l2VSJk1vBxrJ7daPkUrs6Ll3KYS8a8BFlHRwd79uyZdf0DDzzA2rVr5z0ohWKx0YTGjvoLGcoOY9km2VKOoDuAy+fceBdTY9i2jaadf/nK/eU6sKgnwmVNF5MsphjNjVGwihyJO02ZW4LNXFS/dVp0qDPcTk//MwzZOaQvUl1fqSHDKiKljRAa2VKWA4nj2FaeA2acSyYdRwRqJ/4um33sPjZGtmAS8LkI+V0MjGaJ5+FYSmNDrY2RHESv66zu15vuxzwpipcz8zw2+NSUZXvHDtAcaMSlz62NgZSSp0f2VNNZe1L9rI+tmdO+s2HZzs1xxTFKoVgICpYTkfaUBVklZbEixoLu4Jw/9+B89s1+p/+PLGanFdwvV471Ozd1zbV+/F4X0ipROvgAMp9Gi5b7rymHRYViSfF5DHTDhWnZ5DQfHkDmnMh2JQtGVjJnnoXM627zhhtu4Kc//Sl33HHHlLSeYrHIF7/4RX7/+9/z+te/fkEHqlAsNE6KT6XmwplFrW3rBM3ASo8zeOzIEo5u/ozn42RKM0f4bGnTk+4DqKZpht0hVkdWsalmPZc0bmd9bC3b6rbMeCMWLhTwZuKYUjIcmHSDY7hBCJCy2nfsWLLLKdoFes0U8cLEhVZoGnrbBYhgDVpNG6OJPF2DjiPcJRvquXxzIy+5tJ1I0ENSizISz2EnpjadrkT11kZXowlH6NT5aqds49bdWLZFX2Zgzu9fT7qvms4JjoA9md50P3/oe5RHB54keVKD8cmUbJMnhnZx94nf8Oue+8mZ53cqrGLxsaXNgbHDPNT/WLV1h1d3ItRu3T2l6D3qObOUQ5kZB2vSJMcKMNOxbUnfiHP97ixHx8xjj5dfSwl71Imia0Hl+qxQLCVCCEJ+Z4IoZZdb2uRTSGlXm0RXHj8bmVeE7O1vfzuHDx/m5ptvJhx2LoAf+chHiMfjmKbJ61//el73utct6EAVisUg4AqQLKRIl7I0Av5gkHDnZpJHn2Fk3+PUta/C5V45DmX9mUGeGHwaXTN4Tsul1Z5rFQ6OHyFZSKJrOs2Bpmn7NwUaaQo0znp8e+QETZqfY15BlyjRVp5BF0JzGj+bBaRZJC9wmjjaFi6hYWk6Q9nhKTeIRtMGaNoAwKEeRwB1NAarDml+r4vta2t5ZDxKKnECKz1GZa6/ZJUYzY+RzBQ5MGQTDq5i29oaYt4o93X/noJZIOqJ0BJsYu/oAbpSvawKt8/8mqRNyTaxbIt9YwcZyjrudGujqzmWOEGqmCJVTBNyO+mZg5khnhre7YhPIFVMcVnTJQRc/ikitmAVeWJoF2M5x4G2YFo8MbiLK1suPa+dohSLyzMje+lJOZMqo+XPVs0k446IJ1w16ukItZ7Rse3U1NRlWchUewEuVwbHsxRLFl63QV3EiyxknMbykzHcaDVn9l4oFIqFJ+x3M54qkCoZ1Gk62BYyl6oKMmwLClnwPvsMeOYlyIQQfOpTn+JVr3oVd911FydOnMC2bTo6Orjuuuu49NJLF3qcCsWiECwXwafLETKAtgu2s6/3KHYhw4mnHmXdZVct1fDOiJyZ55nhvQBYtsljg09xTeuVGJrzNU8V09WUxG11F+CtOCOeAbKYpUMP0u0ziBcS9GcGq5E24XI7ph6lAvtSx7Fsi6jupdEIc0DTiRdmdlNKZooMjGURQrC+LTplXSzkwe0LYsclqWQaiib7jo9zaLSbuJ6mkNVp110kxiHsiqAJjec0X8rB+FFWhzvwGV72jx0iWUiSKCSJnFRPcyLZzaH4UQpmAU3o1VSvOl8tG2JrSRZTDGdH6E33s6lmPYlCiifLYqw11MJ4Pk62lOW3PQ9Q76/j4oZtGJrBYGaIJ4d3Y9kmhmawtW4ze0b3Ey8k6EsP0BZqOeP3XqGwbKsqxiZT66up/r0xto7+zCCrI6uqGQBzpjg1givzaQjWzrLx0lMybQ71OJH3tvoAmhBYmTjg9EjEKiELGfS6VQhNGXooFEtNKOBMcHcPZ2k0AvhJYo/3gj0RFbPzSXQlyM6MnTt3snPnzoUai0JxzplsE13B5XLTtO1y+h+9j2zvIfK5HXh9Z3hjswR0JXso2SXCnjAlq0iulKMr1VN1GTyR7AagMdBQFVFnTDGLV+isja3mcHaQ/eOHaPTXo2s6wvAgSTGSGaY/N4AQgi2eesxsEQQkCskZa1K6h9OAU/8R9E2tdxFC0NgYw+yH/uEUDz54FFMI+u0uTIrExISwGUsVaIz58bv8XFS/tbq8MdBAf3qA7lTvFEHWlexh98i+6mNbWoQ9IS6s20LEHUYIQUeoleHsCN2pXnyGl0Pxo1i2SZ2vlm11W8iUsjwzso9EIcFwdoTf9vwBXdPJFB2BH/aE2Vq7iZg3SraU4+D4YbpSPUqQKeZFpWZsMgF3oOouCo44myzQzgRZKguycvpxxRBjOZDNmxzqiZPKlmitD9BU4+ehvYMk0gV0XWNVU9lGu9y0XgvG0GKtWKPd6E3rl3LoCoWiTH3Uh65rZPIl9udhR8zJvJmMzKUgujTjW0rmlTfT3d3NfffdN+v6++67j56ennkPSqE4VwSrNtFTbzwa2jvRfGGktIkP9M+067JCSklvxhnn2kgn62PrADgSP07JNinZJr1pZ33nLKl7p30O26z2A1tTsx6P4SFXynG8LPQwPEgpOZA4CkBHqI0wOiHhRtMNilaRnJmfdtyRuHMT2FQzs+htb4ogNRcSiW4XybkHCYUEXsPHVWu20N7g3IiNJaferOYKJpZt0x50UpX60gNVc410KcPuUUeMrY2u5tqOa7ik8SKubL6UqGfCrKTBX4/P5aNoFdk9so+CWSDoDrKjYRua0Ai5gzyn5VKuaN6JoRnkzXxVjNX4ariq5TJi3qjzOkItCCEYz8fpTvViP0vz5BXzJ18WZH6Xn3B5cqHOOz/xNROy6Hw/tXJUbDkJsn0nxjjWn2QkkePpwyPc9UgXiXQBj1vn6gubCfnLPQsrPRL9MbRQPa7Oi6ttORQKxdISCbh5yc52XIZGmgCFooUsle8Lyr+7z9beZPMSZJ///Of5/ve/P+v6H/7wh/zzP//zvAelUJwrKhGyolXkof7HKFql6jpPrAGA9MjcDSEWAiklOTNHX3qAPaMHeHp4N7tH9nF4/Bi2PfNN/Fh+nFwph6EZNPrraQ02EXAFKFpFTiS76Ss7EgbcAWrneQMnK+lMuoHh8rEx5sw6H44fpWAVES4vw3ae8ewoumawLroGaZXQhSDkcUTTZGMPgJJpEU87JiB1kZmt5cN+N+s6G1jdHOaF2+uoby7RGPNxw44r2dheS03Yudk60DXOkd4Eti3pH81wz6PdPHFwhDpfDT6Xj5Jd4mjiuLPt2GGklNT769gYW4fX8NIUaKimd1bQhMaayCoAPIaHLbUbubrlctwnOdfFvFFe0H41lzfvZFPNBlaF27m4LNoqeA1vtW5v1/Ae7uv+PXtG95MszG4KolBMJm9WXBU9bIitJewJz1obOS/KETIRcgwwThZk0ixUjbzOlpN7Fp6ORMa5TtSEvei6hpAWEb/ONdtbiIXKbTekPb1pvUKhWFZ43Dq1ES8FV4hsfuKeS6tcd/LppRrakjKvlMUnn3ySt7/97bOuv/LKK/nud78770GdCUeOHOFTn/oUTz75JIFAgFe+8pV86EMfwn0aIwYpJd/85jf50Y9+xNjYGJs3b+bv/u7vuOiii87JuBXLA0MzCLlDpMrW732ZfjrDHQAEaxvJ9R0mPz50mqOcHVJKhnOjpEsZsqUsg9lh8jNEkjRN0FxbS4DwtP0PxZ2oVHOgsWqtvj62hqeGnuFo4nhVGKwKtc/fxrosyITbMa9oCzZzPNlFspDk0PgRttS00t/7CDKXo93fiNfwMDieopDK4q9tJCXTjObHaPQ3sL8rTsm0CfvdSCkJ+Fz4vbNfjjw+P7aZZTQ/TMkq4TE81PudWfyKCQjAM0dHGU3mq65rvcNpLtlYz4boWp4e3s2h+FGKdsnpwyYEm2s2nPb9WBVqJ+aJEXT5T2lb79bd1PlqqDtFutiFdZsJuPx0pXoomAWOJ7rozfQRib6AnFmiK95HR7gNl6p3UcxAJULmNTw0+utp9Ncv2LGlbVcj4FqwDguQhYkbIzs5ROngA+jNGzFat8z/eaTE6t6FNXQUY81O9JrTC0rblqSzzo3bzo0NuDSb0p57MTw+XJ6OiWPnUo4pgO5CeEOzHU6hUCwx9REfAyNeslmTmjCgG+gtm7GTw8ji+dsH9lTM61c/mUwSCMze08Pv9xOPx+c7pjmTSCR4+9vfTmdnJ//6r//K4OAgn/vc58jn8/yv//W/TrnvN7/5Tb785S/zkY98hI0bN/LDH/6Qd77znfzXf/0X7e0LOOOoWPZc0byTRwefIJ5PMJ5P0FnWO9GmFoafASsTp1go4PbML+1FSknGzDKaGyNr5rClTd4skCgmMS0ThOMaOBkhBGF3iJg3ikf3MJAZJJkdYejgQ6xquwomNSruywwwmhtDEzrroqury5sDjRx2HyNddG6qdM2gLdg8r9cAIAvORbLSnFmUBc3D/Y9xItWDR3czrEuwJI3FEkNjGfoHRhHSoqtbJxHMcax/P8c1N5Y5NThfFzmNk1vZ6a0/0w86NAeaqiIz5HcR8LrIlGfaKmKsQipTpDXYzHBulL50P8fLzaTXRFZVnRNPhRCCiGdhbu4MzWBDbC3roqsZyo5wNHGcRDHBH7oeI53Jky3myFsFLqjduCDPpzi/KJSjShWb+wWlUj+maYhA1PnbLCGtEkJ3YR5/EgCr/8BZCTJ75ATWkDOBZI/3zUmQpXMlbClxGRo+j45Mx7GtAjJbgGIWKk2fy6lPwuNfEf3TFIpnK3VRHwhBj2sVbX4b95qd4Cpf18wi0jIR+rNrYnJer7a5uZknnniCN73pTTOuf/zxx2lqmqdpwBnwk5/8hEwmw1e+8hWi0SgAlmXxyU9+khtvvJHGxpntuwuFAl//+td55zvfyZ/+6Z8CcMkll/Cyl72MW2+9lU984hOLPnbF8sGtu9gYW8fD/Y8zXohXl/tDITRvEDufZqTrOC3rz/wmOVVM8/jQ09W6otnQNYN6Xy0uzaAp0ECNNzYlfc6WNvGhAyQQWK7DiNYLq+uOJZyC2HXRTvyTXNU0obG9/gKeGtpNppRhVajtjJrEnkxl1kp4Jp6jzldDR7iNrmQPB8ePYPsj+EpFPKMj/KErQJO0MDQNTdaQSQ1TkHmGRB9N7g5CfjfH4idIMAB2EPdoB1FPmKArOE0ACZcHU9oMZkchVEvrJFMSTQiev6MVKSW7j43RNZiiqcZPrmCSyBQZSxWIBD1sq9tC0OXnRKqHtmALG8t1dkuBJrTyeY7y4MCjpItZ8uX+bV3JbjbF1qkm0opp5CxHcHiNhbeir9RxCJfXadauuxyXwlIeobvOOMVwNqzRiQL+Shq0Xa4Z0XzhGfdJZp3vRsjvRgiBnZ9I87UzcfSyIJOWs121Ub1CoViWhP0uPG6dcdpIt7ZQ6y1f0wyXMxFUzCLK1wMpbWRyCBGomdN3W5pFZGYcWTN7C5/lyLwE2Ste8Qr+7d/+jW3btvGWt7wFTXNmqi3L4gc/+AF33HEH733vexd0oDPxu9/9jiuvvLIqxgCuu+46Pv7xj/PAAw/wmte8Zsb9nnjiCdLpNNddd111mdvt5sUvfjH33HPPYg9bsQyJeCIgBLlSjnQpQ6KQJOgKEmheTerYM4yfOHTGgsyWNk8NP0OmmEETGlFvlLA7hCF0DM0g6gnj0T3Y2PgM3ynT1HyGD1nKk9Nd2LkklVv1nJlzmsMKQXuoDXAicv2jWaSUtNZHuKbtSjKl7JlbYJ9ENY3APfU4W2s3E/VE2DN6ANsdwFcYp3u0FwJRvG6DjrY6PHUNyL4cKfdxQr48z+9sZjDfT2IkSS0BhJAcLwtLTehsrdtM3syRKmXYGFuHp1yfZlomIZefiHvqjZvLcK5BO9bXsakjis9jcKAr7giyZIHVzaBrOutja1kfW3tW78NC4tbdXN16GScKJ+i1hkjm09jSpi8zSLtyYlScxGJGyCqGHpTFnnB7kbmSk6rsDVWbvJ815YkHcIr3ZTFHad9vQAjcW1+CcE1/baly/Vi4YtwxqehfZseh0mPMLGca6EqQKRTLGSEEdREfvcNpRhI5aiOV644faSacyHdZkNnjfZhHH0Wv68To3HHaY1t9+7CGjqKvvxxqVk62ybwE2Y033sjjjz/OZz7zGW655RZWr3bSpI4dO8bY2BiXXXYZ73vf+xZ0oDNx9OhRXvva105ZFg6Hqa+v5+jRo6fcD2DNmjVTlq9du5bvfve75PN5vN7l3QxTsbC4NIOwO0SykOS33Q8AjjDY1Lqage4cydwhQt2H6Wife1TlaOIEyUIKl+7imtYrz2pW268ZyFKBjCaw06NY+36DFqpnIOREkmKeKF7DQ65g8sTBYYbLzoUly6azKTyn1LzTUq0hm2q+IYSgPdRKzBvloSOHMdJJSmaOOmuI1voAujfAurYIa1sv5Le9KTLFDI8OP0amlEUTgvWxNUQ8EY4lTpA3C2RKGXYN7544PoJtRph+Owu2RnOgcdZ0JCEEfq8TBYyVzT7GktPr8ZYTHsPD5fU7GA9k2D9yhANjhzg4fpiiVcS0TRr8dVWnxpXGWH6cnlQfG2vW41E3yWfN5BqyBaeUI5ktcmQ4TWM0SZvLh8ylMHt2TxFRwIztK+bKlEibbWH27a2KPWvkOEbz9BuoZLZEMD9Iw+Az2M3PnWgiy4SronPsSoRs/pkACoXi3FAX8dI7nGY4nmdjuRRUuP3IbKJaIgETEzB2LjHTYaZhZ+Plgy3kaBefeQkyt9vNbbfdxs9+9jPuueceurqcmoxt27bxkpe8hFe96lXVqNlikkwmCYenpzhEIhESidlPXDKZxO124zmpJigcDiOlJJFInJUgM4zFf+2nQ9e1Kf8rTk9DoJZ0yfmh1zUDyzbZnz3CUFjDypZ4eNcv8ck/pnnNqUWZlJJ0KcORxFE0TbCtYTNB79lFpwKWiRCCvG0ipY3IxZG5OEOuNoQmaA03kiua/G5XH4WihaFr2FKy++gY2YLJls4ajLP8LJjFDJomcPlDaJM+47mCyeB4lnzBIjsaxuOppyE0QixcRBc6ujdQ/U5srFnDU0O7yZlZNAGd0Q621G8AoDXciGVbPDH0TLlnmVNrN5wfJhMKMirzCNtDR6RlTt+x+pgPw9DIFU1SY0MEzThG47pll5c++bu6tmYVPZlecqUcB+OHADiaPMYLVz33rCOc55pkIcXDA48B4Ha52Fq3aYlHdG5Z6GuwlJKiLKJpgoDHt+C/M6l0mv7RLKavht3Hxuho80FaQN65GRLaxN2NgVm1kpdmEXPwKEb9qmmTNdNfg41mm6AJhNvnpCyOdaNVjj12Ar1tI2KSO6ktJfFMgeb0fgKBENah+xGGa2KfXAJdByE0JCZSE+huz6L8Dqvf1fMTdV6XhqZaP88cFcQzBRBg6BrSF8BMCjQrX/0O22YOqQmEmZ/T99osZZGawPA7E9Yr5bzO+85E0zRe+9rXTotQPdvRNEEsNrvhybkmHD71D6RigsvCF9KcqCXiDRHzRtg1uI+ueB/62nUMHT9KJpPkRO8zbLlk+6zHsGyLB7oeYyA9jNtrUOePsbV93VkXmHvSNi5Dx0Yi3QKXrdMzmuKxgjMZsjUa4ZnecTRdp6nez9XbW9h7dITjvWP0jubw+zNcumVudZ1D41kOd8cJBdysagoTDrixSwXSpQLpbImAHqQh4MHrNkhni/zqyT6KJWeG2+dzE4l00KYVqj1FvLU1+MvfiUhkHSVXgWQ+RcwXZVvjpmmTNy+pvQpwbkDvOvxbkoU0j6YPoBkaDR4fq86gPnVdRw3dAwmyBx8hGtFwyyyBC65elgX/4bCPMD6e676E3594BJfuqrZhEF6LWHj5XFfmwuNHnsTrc6JiI6VhwpGLnpV1cQt1DS6YRdweHdBprqtZ8Pfy8HgKl6Gj+wJ4vS66xiyaEQR806NNkYCOXjb2Sj7xAKTHcetFgpuvPOVz2MU8cZ8bgcBV30Jx2OlhqLm9YNvYZpGwnseITLhHDo1l0XQdj9sgFvWVv7sSDDdC05G2RcRjowdCZAY1Cj43/lgE7yL+Dqvf1fMTdV7PLdGon9rYKNm8ia3pxGJ+8pkasslu3G6bYPk7nHLZlHxuwCYa8SJOce2zzSLScK4PkXrnOrJSzuu8BFk8HmdgYIBNm2ae8Txw4ABNTU1EIpGzGtzpCIfDpFLTe/gkEolTPnc4HKZYLFIoFKZEyZLJpOOodhbjtm1JMrn0lp26rhEO+0gmc1iWakA7V2pEHRQgWcjT6V3NqsZOAB6zHuHJvb/mSPwEIyNJRvJjlOwSLcEJtz9b2jw9tIeeVB8ALt3Fmro1xOPz/zyUikVOPPMk+e69jGk5bDc8MzKMp6AzpOUoRGrwaEGe2jMGgM9jcPG6GuySyZriIWKF4zxibuSZQyUCbo2mmlO7j9m25FePdld7gzy6u5/mWj81WobMiTFKupeeR5ybqHDATcm0yRVMgj4XQb+bQtGis7OD/JGDUBYTVlFQGJ8wNVnjWwPl62MikTvl66/RaxnKjSFtiTRt1uk+xkZTiDlG4GuDLroTA4ymR4i5ouRzx8m5azDqO0+53+BYlkzepLUugMe9uCLi5O+qhwBXNlyOW3Oxa3gvfekB+kdH8Vsrx8Y7bxboG3PaRQghyMsie3uO0vYsqotb6GtwopAknyvi1t0kEwubhmtLyfBIAo9p4fG4Gc4VOZ4rkE6N0VjjR9cFUjqOppoQ2CPj6EUnjTo/PAhAvucYpaZtp36eXJJCrogw3JQsN2bOSTF0t1+COXgUO5fGGhjAsCeiwfuOjlDIZPC6NAqTehYJTwChubBzcezBYfSYQTGRxMoVsXIWufGFb2qtflfPT9R5XTpcAnK5Ir0DCdxCYhUExVyR4ug4pfJ3OD8+jiw414qxwWG0U7S0sDNx5xrj8pDKmoTDriU/r+Gwb05RunkJss9+9rMcO3aM22+/fcb1H//4x1mzZg2f+cxn5nP4ObNmzZpptWKpVIrh4eFp9WEn7wdOzdtkUXn06FFaWlrOun7MNJfPF9qy7GU1npXKpuatPLX3t6RljnsP3kdedyJC+1yHuazpYgSCxwafJFVMgxBc1ngxdb4ahBDzfv8Tw0OceOTX1easLo9B2rJIlkoEkAx6c7TV+WjyrkJkPLhdOps6ohiahmnalIa7CHo01tp97LXW8cCuflrqAly8oX7G9MV0rsT+E+Oky45m9VEfw/EcPUNpErle6qRE94UIeF2kskXiqXI9i9vgygua8HkmLielQB12vB8AW/fN+z3oCLRjmjaZUoaYJ4lP6pTScTR/dMbt7eQw1uAhjI7tCE+A2pCXWKGfkmmTzhUJeF2YyVGIdcy4P0AyU+SBXf3YUvL0YY0X7GglOEOUYKGZ/F31CC9I8GheZ5Inn15R3+PB9Ai2LQl7wjT66zk0foQT8V6afIvvvrvcWKhrcCKXxrYlPvf8v0+zEU8XsEtFNAEbOusY69Ep5dzY0mmyDlAwwtTlCrTUeDALeaRpYw4cxbbLjaI1jVLJOvWETz6PbUuE5kKPtiHHB9DrOpHBRmR8GNsewEwnocZG2jZm11PEj2UxpJ+gz+Xs63MMRrT6tdjpEWx7HDObQoYaMYsFpC2xMGARvy/qd/X8RJ3Xc4/XbTi/cekipmlj6z5sWyLzGUzTRkobK5+DckN6M5tBM2aPfluZlHOdcPmrImylnNd5CbKHHnqIN77xjbOuf8ELXsBPfvKTeQ9qrlxzzTXccsstU2rJ7rzzTjRN46qrrpp1v4svvphgMMj//M//VAVZqVTi7rvv5pprrln0cStWHj6Pj3p3HYPFQYbiA0TrmjA0nWwpy+96/oBLd1EwC7h1N1vrNlebFs+XviMHGX7mIbBNNLef2o07KPnz9CaPUhjuJSGKBIQL3aWxo2P1NNMOOamvWXtEkPWH6RpM0TeSIV+0uHxLIx6XjpSS7qE0R/uSxNMTxfYXrq1lbUuEZLbIsb4kxRPH8HkMOjZ0sH1VG4WixVgqj6YJakIeXMbUKJIWbqgKMk5TV3IqHGdEZwKlFE9iJ4eQmTjMIsisocPYiUGs8V6Mpg1QTFOvp4gjGHJ3sJr+qsCdCcc6fxS7fPG3LJvBsSzB1sWN9s9GpW4sWzp1JHG5MZwbBaDeV0trsJlD40cYyY+RNwtVQ4ruVC+Hxo/QGVnF6nDHskwjXU5kSk6k3b8ItYQjiTyaNPF5DPw+Hy/a2Ugp5efE7w+QK5gUw+30uddgJvcQTGepLTeQlqmRiYOYRTAL1Z6BM1Ex3cBwIzwB3JueV11XaeQsyzVrMjlItu8ogfEkMrgKf8hAizbhWjeRFlmx6q82sC67LCpTD4ViZRDwOTKk0ke0UocqS3mkbTv9EeWEmJLFLDKfRhazaOGGacerXAuEZwGMzM4x8xJkY2NjxGKxWddHo1FGR0fnPai58oY3vIHvf//7fOADH+DGG29kcHCQz3/+87zhDW+Y0oPs7W9/O319fVVLe4/Hw4033si//uu/UlNTw4YNG/jxj39MPB7nXe9616KPW7Ey6YysITE4SjAveF7blWhC5w99D5Mz8xTMAn6Xnyuad+I7yx5Bx55+guSRpwBwxZpZe8Xz8fh8xOwseXeapMuNPtJF0IamQNOMDoqTRYdWyrC9M0R7fZCH9g4wlszz2yd76WgMkcmX6B5yLmCaEESCbiIBD51Nzs1R2O9m+7o6SpYbOxXCCEYB8Lh1mmtnn6XSIuXvnxCnLfSfKyIQg+SQ46o2S8ph1Q67fKNmDx0j5HfTVwwykvfT6QeZn12QjacKDI3n0DRBR0OI4wNJRhJ51i6RIPMbZUFmrhxBJqVkpCzI6ny1BFx+op4I8UKC3SN7uaBuM6Zt8szIXqSU7Bs9gGVbVeGtmJms6QiygLEIgiyewyUt/B4XlE1vDI+f9oYgEnC1dxIq1jD4jIvxVJ6aslOiPGmiQOaSiFMIMrtUYDSRZzyVJVKTxu3W8XsMDF2gl2+gZM4pQ7CTw6TK0foWux9NBKqirYKo9B+rfKfLfciU7b1CsTIIll2RM7nyJLLhAU13nFdLuWqvwgoyn6HUdwBZzGJ0bEdvmPq7Ubn3qVwbVhLzEmT19fXs3bt31vV79uyhpqZm3oOaK5FIhO9+97v80z/9Ex/4wAcIBALccMMNfPjDH56ynW3bWNbUHip/9md/hpSS2267jbGxMTZv3sytt95Ke3v7oo9bsTKpq2tla/dh9IynOkt9WdMldKd68Rge2oLNuOd5I2DbNseffJR07+GqLXSgYxOrL768Wrwfcgd5Tscl3H/4cWp8edYVBa5A64zHmyI6pMRODlNb08Zzt7fw0O4BsgWT/V0TdtGbOmKsbgnjcU2vl5JWqdq49eQbotkQngDGqh2OIFugJq0iEAXAzo7PuF5apapVriwVkLaJNdqF32uQD7WTkW5G4jnqoiBta8bC4Io4ba0LsKopxOix/XgPn8BcdT1GYPZJqMXC73LEbM7MYUu7Wq+4nMlbBQpmASEEMY8jZFuCTcQLCQazwwx1j6AJDVmOQgJ0p3pYF129KFEyy7ZIl7LTmo2vNCoRssVw24ynizRIE5/H6zSEBij3AxPlvztrQgzsdZPPW+SzWYJM9C4TvhAyl3ImRGaYta6w78ggMpEj5Y1w6MDQlHUBt+A52BjksUp5xvq7GS23rAj5XeXnmeqqXBVkhQxSSmQ1QqYEmUKxEqiYBqXzZrWdhnD7nChYITtt0scaOlJtk2F2PY3wR9GCk/RGvhwh8z5LBNmLXvQifvSjH3HNNddw7bXXTll377338p//+Z+84Q1vWJABno61a9fyne9855TbfP/735+2TAjBjTfeyI033rhII1Ocb4Rq6xgErFwKy7TQDZ2gO8Dm2g1ndBzLtsilUiQG+4l3HcY2iwhNw0o7QkMIjfDabXRuu3javo3Bel646rnkcg9glwYmZoRPoprCU3lcFlRhv5sXXNxG/2iG4wMpxpJ5tnTWsKE9OvNxpMQ89hiYRYTbO+2G6FTopzHOOFM0vyOIZC6JtMxp9vWVmXUASnkntdEqobm9tDeuYfexUYZTJpadpT2fRvinRr1sW9I74gjZ9oYgYb9OY/YQli3JHN9L5ILZ06AXC6/uQdd05zNj5leE9X2q6Hz2Aq5AdTKhLdRKsphy/hVSWNIi4gmzo2Ebv+99kJyZJ1lMEfHM/fM1F4pWkYf6HydVTLGzaQeN/vrT77RMWSxBVihZ5AslNNvC49ar3yshNLRoMzKbQIs0oes6wWAAMnCiZwSvZ5RIKkvQ70IPN2DlUlP6g51MKlskHk8RRVBfG6FQFk3ZfMn5jhUl3Vmbtijse2IvoncQEFiGz+ktaLjRQlPPX1WQFbPOtbCS2qRSFhWKFYHfY6AJgWXZ5IsWPo/h9CLLp7HHe7GGjzkb6gZY5rQG9dbgYbTgZYBzv3Kmk8fLiXkJsj//8z/nwQcf5KabbmLTpk2sX78egEOHDrF//37Wrl3LBz/4wQUdqEKx1PiCIYTuQlol0vFxInV1c97Xtm3G+noZOrgLMzGMlDMXmEY3XEzT2o14fKdJ8ytH4iozwidTTVksX8RkccLp0WVodDSGaG8IYloSV7mvx0RT1YnZZZkcxI4PgKZjrL3ilHazi41w+5wLdTGLzIwhTpqJn9IstlSoNowVgRrWtUdxu3UGH/ERT6coHR9g3ZYIJdMilS2RypboG81QLFl43QZ1UR9yrAefxyCdKzGWyLIUSYtCCPyGj1QxTaaUXXaCbP/YIRKFJDsaLqxGh9MlR5BNTqV1aQbb67c664sZLGkRdocQQlDvq2UgM8RgdmjBBdkTQ7tIFZ3PxfFE14oVZCWrRLE8+bLQNWTJTBGBxGMINCEmImSAsfZyQFb7gsVqwyQHIZ3KcPxwP23jaZrrI4TcURKpAvGxIyBXsalzeoZMz1AaTZYI+AxWrapnY1Mb4NxEpXIlfv90H+MlN4XeUUrGYbxC4I7U49tyDb46L2jGdHdVl7ea3iSz5d6jmo7QllevQYVCMTOaJvB5DDL5Epl8qSrIgAkxBmiRJuyxnspOuNZeQenQH7Dj/chizomqFdJglbCFRqLkoW5SFsZKYF5XrVAoxL//+7/zrW99i3vuuYe77roLgI6ODt7//vfzrne9C79/ed04KBRni6Zp6IEoZnKY9PjonAVZqVTk0O/uppSYSNERmo7wBAg2dxKsa6CQTmN4vTR1zq2Oplq0bs4cIaMsyLRQvWOuUZxegySEwGU4KWLStint/TUgcV1wLaJ8U2YNOS6mev1qtCVI2TsZEa5HjpzATg5NK+it1o8B0sxXUxtFedwdjSGM1kaGj6fo6h5g9+j0WXRNE2zpjKEJQWnkONGgh3SuxPjIKE0Fc4qT5Lki4AqQKqZJFlM0+Oc+CbDYWLbFkbjzg/n44NNc0bwTIUQ1QhZyzZwyEnRPXd7ob2AgM8SxRBcRd5jGwOwpbzMhpWTP6H6GssNc0byzKliKVonR3Fh1u5Hc6LIUtXMhU64f8xgeXAssNpLZIpo0nXRlIWDS8Z0U0ok00sa6KBlNwytMgi5nUqlrrETvgQId8SKazDJw5Agt9UHCgUkTO1LSPZwhZJcIh91TJn2EEIT9bq68oImDj56A4ighkaOpIUhw1WqMptlFuhAC4Q0iswnsygSMSldUKFYUAZ8jyNK5EnUR3zQjML15I3rTBuxYC7KQRQtE0UL1aKE67NQI1vAxjNYtyMw42bzJibSL49l+rrywmZqalWPuMe8ru9/v54Mf/OCskbDT9QJTKFYi7pAjyHKJUdKJOPlMmrqWtlPuM3DkIKXEEELT8TatpnnDBQSisWkNkc+ISq3aaVIWtbAjyCq1VbMh86lqFM089CDStkBayLxj46/Xr57/WBcQLdyIPXICOzEIbVunrJuSLmWWkCnHWKKS6gjQ0FhHcbibpDUhUL1ug5DfRdgjWFU6TMDjQcogdmacgM+Fz2OQK+TYc2SISzY3z7vOyRo5jp0YQm9ch9W3D715I1ro9AKrxhtlIDPIWH4cWB7nASBZnHi/x/LjDGWHaQw0TAiyGcxmZqI50Eh3uo+x3BhPDe/mxf7nn1GtXHeqlxNJpzfe0cQJttZtBmC8EAcg4A7gN3wMZ0d4YmgXOxsvmmK8Y0ub4ewIdb7aZdu4Ol10JlgWw9AjlSkhbBOPS3OiUKf4fPuiNaxrc37X9VYvxxMGo7YHKXRkrANvuotwro9DPZ1csnEiGjmWLJDNl6jB6VnIDKKpJuxlx0UbyO0fwusxEExMppwK4fYhs4mJCJkSZArFiiIW8jI0nuNYf4pVjSGEZ+I6J1xe9JbNCCHQY1Nr5rWGNdipEeyR46Sia+jafwxzKEXS14bf66Im5Dn5qZY1CzrVViwW+dWvfsUvfvELfv/73/PMM88s5OEViiXHG4mR7YVM136Odh9ESpvC1itp3bB51n0SXYcBiKzdzqoLL1qQcVRmgWdKWZRmYaLYvlxzIUt5pLSrqUfT9slPRJfs9FSHVC3WgvAuj1kmLVwPQjh1ZMUswu3HTo2AyzMlQgZlS2whptSKCW+IxhofdtakYVWMzuYJIxNr6Chm1zBWXxHNFwHbQmgaDXURunrHGBoYpqsmxKqm+eWmm8efBMAe73XGl0tgrL4U2+OG2OwFyDVe56Z0PB9fVsYe8UJiyuOxfJx6fx3pkiMegnMUZLqmc3nTxdxz4jeYtkmmlJ2zmOtN97N7dF/1cU+6n42xdbh0F+P5OAA1niirwu0kCkmShSS7R/ZxadOO6j77xg5xPHGC5mATFzecurHxUlERv+FFMCZxImQW7kn1Y7MhDA9aIIbMjCNHu2itDxLzN7J9fQde2UDyiRHyA2P0DgyT64xVI8rdw45Ij/k1NAFiFvMjd6QGJkWh5xKVF2Xjm8r3X+iqfkyhWEmsaQlzpDdBIl2gfzRLk2ciQiYCsVknibRoM8LtIz6WYPdDTxHMDONFUNfczPqtrUuS0XI2nPVopZQ8+OCD/OIXv+Cee+4hnU5TU1PDK17xioUYn0KxrAhEa6kkQVXqwEb3PUaspR1/cPpNZGJkBCs9hhAajWvOzPzjlFRSFmeIkMlMHADhDTqFrZoGtu1YwbtnnmGfYogBaDVtZVMOUXU3XA4Iw40IxJDpMezUCFqghtLBBxAud1WEYrirqZzCG5ySwqSF6tCEoDVQwt3sR0xylazc0MlcaiL9yRsiEHRTl8kyZGXYdWSEaNBNJHhmM29yhtRSWSpQOng/lqFjhl8KzFw3GHIHMTQD0zZJFdMLXmc1X8bLgszv8pMtZYkXEmTNHJZtoQkdvzH3dgea0Ai6A8TzCVLF9JwEWbqY4enh3UgpaQ21kCgkSRfT9KT7WR3pYKwsyGLeKBFPmMubL+H3PQ8ynBuhaBVx625SxTQnkl0A9KcHGAw2L8s6s0RFkLkX9txLKUlli+iVlMXTCDJwWlpYmXFkPoWuCaKxKIbHAIL461vwjR8mmO2hd7iVtoYAh3oSHO93vlsxnwDkrFEsYXgQngCykEG4vafsaValvE01Qq4iZArFisLj0lnbEuZAd5yDPXGaNkWr68QsPUcBbAlHCjGKY31EtcOE3NBYHyK0eQ3CWB4Tl2fCvAXZ7t27+cUvfsF///d/MzIyghCC66+/nre85S1cdNFFqsmn4rwk2tDIaOt6pGVSt3ojfc88jJUeZ+DAHtZccvm07UeOHwLAVduCN7Bw6Uaiauox/Ua/KibKM0vC5XNsoQvZarHsyVTEiBZuQARr0Js2Ti+gXyZovghWesxxYRIaSHsiIuj2gctbfV+mubK5fQh/xKk5SQ6h17Zj9h/AGjwMlAuApY095qTACW8IYbipCXtpzuY4ZEse2D3AmuYw69oiGPrc3qNTuc9h26T3PoBc93xg+vE0oRHzRhnOjjCaH1s2gixRcD4zneEO9o7uJ1FMVpeF3IEzjuQFXUHi+UQ1wnY6jie7kFJS56tle90FHE92s3d0P73pPhr9ddWxxLxRAMLuEGFPmGQhyb6xg6yNrObA+GGklFXBe2DsEA2+umX1+yWlJFl+LQtt3V8oWZRMGzcWbkOfYugxG1q4Aatvf/Xx5L5jesMaIr1dZMYH2Hd8hJ7hdLXhvNel4zec79ipolgiEHMEmX/2mfEp259UbzLbNU6hUCxf1rREONybIJ4qMJaFypVuNvt6KSVPHByhPxuj1fDTHJDURLzote0rsgcZzPTrfwq6u7v56le/yste9jJe97rXcdddd/FHf/RHfPGLX0RKyUtf+lJ27NixrH7MFIqFRNM01l/+XDY85wXUNLcQ69wEQHakb9q2lm2RHTgBQLRtgZveVmaBZ0pZLJtZVNJ9KvnYJzdYnLJPWTDoTesxWjYvWzEGJ/UeOilNUXhDU24QtXAjJ1NZZicGkGYRq3evE1Gb9F7a8QHneL4wWqQRAXR6EzSJMYoli/1d49z3eA9jSScV1Ozbj50cmvZcFaaMU3dNu4m0i3mnXm8W6n1OrdmJZA/2LA6d55KiVSRbtmFvDTZjaAaWbdGTcr4H8xGNobLZx1wEWckq0ZPuB2BttBMhBC3BJoQQJApJft19P7a0CHtCU+quWgJNAPSk+vhtzwMMZoZACC5ruhhd00kV09NSMavPaZtYJ1kunwuyZg7TNtGETnAWo5T5ksmZAPgMx89jLul+IhCbmsLsnvi+iXAj4UgIAwujmKqKsZa6ABevi07Yg5zCll6vWwWGy/l/DpzciHql3owpFM9mPG6djkZHhu0+EccONSG8QbRI85TtSqZF/2iGxw4M0zucBsNF22UvpK6xDj3a5PQ/XaHMOUL2+te/nl27dhGLxXjpS1/Kpz71KXbu3AlAV1fXog1QoVjO1LauYmTPQ1iZcbKpFP5QCNu2OfzI/eT6nNoxobuoa+9Y0Oet3DjJk1IWpZQTdu8VM4vyzf9k6/sp+9jmRHf7M+gztmR4JwTZyT1JhC+MzMYnHs9gmqFFm7AGDmKP91I6hQhyjhdyejA1rYeBQ+yIxhlp3MSe4+Nkc0UeevII62sFbbn9aELg3vFHM9bhVASZ3rQeo20rdmKA0qEHER4/mtsDdtYRzLMImfZQC4fjR8mWsvSlB2gLtZxy3AtNV6qHgcwQ2+ouwGt4SJaNO/wuP27dRdQTYSQ3ykjOqT+Mes7c0KkiNtLlY4/n4xyJH6Ml2ExLsGnKtv2ZQSzbJOQOUut1LNY9upsGXx2D2WHASfW8tHHqBGFrsImjieNVC3mAJn8DMW+U5kAjPak+ulI91ahahZJV4ne9D2LaJptrN9AROrWRz8kUrRKmXZqXZX0l0hd2Bxe8fjCTdyYh/K5ydHgOKYtCaBhrL6e051fO40n9foQQGKFaaiNJUiKDGW7gwjW1xEIeZDFLEZwUajG7eYoWbsBz0RmUPJwcIVsm9a4KheLMWN8WqUbVH6Gdq7e3TJkczhVMfvtUH/miWV124ZpaGpvCyMYXrfhg0JwF2dNPP01bWxt/+7d/y/Of/3wMY2UVyykUi4E34McI1mCmRhntOUHC7SE50EN+cKJ/hqeuFZdrgesaKhEyy0Ta1kR/sFIOWSqA0KpmFtUUnlmcFu34AMhyXYex/F2JhMe54ar0HJmyzhee6MEGM4ojEahBq+vAHumaIt5mQvM6AklvXIc1cAgKaVpqPDTEWjnw+KNYvXvIjsIJl05LXQBjrGfGhtiVCGTl5lWLNOFad6WTPtm7C/JZZGn2CKahGayOrOLA2CG6U73nXJA9M7wXgF0je7is6eJqb69KrVfMG62KMZhfhCzoco6VKWXpTfdX68MGcyPomj6ltqsiupoDTVN+hNdEOxkvJKj313FB7aZpFvFew8u1Hddg2RYP9j9GppRlXdSJXneE2uhJ9dGfGWRLzUZck6JF/ZlB8ma++l4EDD+1vum9tk4mW8rx9NAeuhJ92Nhc1ngx9f7aGbe1pc1gdpiQKzilNUAlYrcYhh7ZfDlCVn6pQpubIYbmC+Pe+mJkIYN2UgNWEYhRG+6nvtaDa/XE51Ra5ZsozbWgN04qQqZQnB/4vS6u3tbC/bv6GE8X6RvJ0t7g/C4kM0WePjxCvmjidRs01fhZ1RQiVnZSXOliDM5AkH3sYx/jl7/8JTfddBORSISXvvSlXH/99Vx++fS6GYXi2YS/oY1kapTx/Y9NafhsRBtxByK0XnDRwj+p7nL+WSVkPl0VXxV7e+HxV0VaZcZ4pjomO5fEPP6Ec8i6VSviola1xDVL01wmhTeE0V6HKW305o0z7y8ERscOLKFjp0cRnoDTq62MFmtF5lNowRoo39wJlxfh8SMLWWQmjitczzq9j3RdkMHxLIWSRfdgmlW+gwRqO6qzepZto5VdIWFqBFKLOlEf6fJCHqzRbqyhExgd29FmKGRu8jdwYOwQ8ULynLotTo4mDWdHyJZy1QhZuCzIOkKtHBo/Ut1uPql1PsOLrhlYtlkVYxXDkF3De3hh+3PRNZ2SbTJS7i/WdFLPshpvjBd1PO+Un2NNaGi6xlUtl1GyS3jLFvhRT4SgO0i6mKYvM8CqcHt1n950/5RjHIwf5cpTCDIpJV3JXo70HyGdyWGXG5TuGdvPNb4rZzx3+8YOcjzhZJu0hlrYVrcFTWgMl4VuJRK4kFQiZD4DsJhThKyCYxo0PRql+aNYUI3UVylPnohTpCvOi5PTLN1zN5NRKBTLi0jAzfq2KHuPj7G/axy/x2DXkRESGed3yNA1rt7W7LTPOM+Y89X3zW9+M29+85vp7u7mF7/4Bb/85S+5/fbbqaur4/LLL3fMA1bAzZxCsdC0btpKdrgfMzmEEBqepk6CtY00r9t4dr3GToEQAuELIdNjjtCqCLJylGXyrHElKmPnU0gpp3xPrcFDYFto4Xr01i2LMtaFRmiG03uoUhNnuBCGF2wT4Q8jNAPX+uec5hgaxqqLqo+t4eOYJ57EWHXRrD3XHLOBLHZ2HBGsRQAhvwufN0zPUJpc0aarq5964xFimy/lQHeCI70Jwm6bzrFxXC6NBldgWuFupZ7MTo0ibYk91jOjIAu4/Lh1N0WrSKKQnJZWt1jEC1Pr9LpTvdUIWdjtfLa8hpd6fx3D2RHcunteYlEIwYbYGvaNHqyadexsvIjf9v6BXClHb6afjlAbI7lRbGnhd/lnFH5z/R3SNX1K3zEhBB2hVvaOHqAr1UNHqA0hBMliyukBJwTPab6Uh/ofYyw3xmhujBpvjGPJLrqSPeiazra6LUQ8YY4mTnAwfgivz03MG2VNuJOnh/eQKWY4OH6ETTXrp4ylN91fFWMAvak+TNvkgtqNTgqnENT5Zo6snQ2ZSoRMt8uC7Oxvciq9w2Q+jTSLEy6nlcmTBbalP/l8z9baQ6FQrAzWtIQ52pckkyvxwDP92FKiaYLGmJ/1bZHzUozBPFwW29vbef/738/73//+qtPiHXfcgZSST37yk/zud7/jhS98Ic95znPweJZ/+pNCcba4PR42Pf86+g7tJRCro6ap+fQ7LQCaL+y4DU42jKhYv58syIRwjCtK+YmaslIBe8zpiaW3bFlRNzLCE6gKMs0XwVh3BUiJ0OaXSq3VrcIdaQDX7LPrmj+GPdaLzMSn9G0zNEFbezOPJ+uIDD9F38G9HM2G6M97QQiKiVESmQJFI8iepwd57rbmKf1RTk65mpxyOeU1C0HME2EwO8x4IXHOBFniJEE2lBupNioOuSfS1S6qv5AD44doDc7/878m0knA8DOSH2d9dDW6ptMZ7mDf6AGOJbpoC7bQl3YMV5r8DQs+CdgabGH/2GGShRR/6H+EolWiZDtCosFXR8wbpT3UyolkNwfjR2kONLBv9EB1/z/0PUJLsImeVB+aJthSv55mVwu2BRfUbuLJoV0ciR/Db/joCLcxno8zkB2qirG10dXUemt4bPBJBjNDeMpuqjFPBPci9NeqpCx69Ir74dmXIgjDjfAGHUGWGUdEHBMdWX4fVZ8whUJxKgxd48K1tTy6bxBbSgI+F9dsb6n2DD1fOaur79atW9m6dSt/8zd/w0MPPcTPf/5z7rjjDv7jP/4Dn8/Hk08+uVDjVCiWNbqh0775wnP6nJXI12RBVo2QTUrbEZruCJh8GplPTURkRruc5seBWHVWe8Xgmpjs0Zs2nPVNnhBi1h5t1W0qM/+Z0QnjlGANWrgBV00bVxoBDj+coDh4FG/Pw3QKjbqtV0JOoAkfvTJKNl9i15FRLt8y4f54suPibIIMIOqNOoIsPw6RubnQnS2JovP5WhPp5GjieNWCXdem9hpz6y4urDv7KGtjoIHGSamI7cEWDo8fJV1McyR+jKFy/VjLWQi/2XDrLtZFV3Nw/DDx/ITbYtAdZHv9BYAjmrpTvYzlxhgrp06uja4mXcowmBmqOk2ujq5ia+NGxscz2Ni0BJtIFJMcjR/nmZG99KT7GS/EnfpNoDnYxMbYOoQQNPjrGcgM0pXsAaB+EaJjpmVXi+MrgmyholfCH3XaUmTG0cqCbCJCtoj159r5fcOmUDxbaK0LMNQYonckwyUb6s97MQZnaHs/60E0jec85zl87nOf4w9/+ANf+MIXuOKKKxbi0AqFYhYq9UiTa8NkqdyP6+RC98q2k8SbnXFuJvWathWXbqzXrkK4PBirLpq44VtkRCAKugtZzGP1O1ERLVSP0bIZzRvCZWis3ba92pss5nfRaA/R6C1SG/GyccNqNCHoH83w1KERktly8+qTonIyn0aWb9JPJuaJAlPTCC3b4liii8IMTcIXgkqErMFfP6Vhc8wTPSefG5fuYmPNOgAOjh/BljYhd7Bav7bQrI12VqOP66Jr2FZ/AVc078Rdjlb5DC8d4QmXxRpfDRtj67ikYTvrY2sJuANsq9/KBbXTaxg3xdazPrYWwBHVUtIUaGBr3WYuqt9afT+bAxOfaU3otAYX3sRlf5czqeB1GxiU3UoXSCxVWm5UWnAASGtxUhYBjDWXgeHBtU7ddygU5wsXra/j+itXUROeQ4P484AFn6ryeDxcf/31XH/99Qt9aIVCMYlqhKyQqTotVuuqpllBV6Jpk8TbDEYTKwUt0ohr23XnVEgKzUCv7cAaOjKRLhmcarTgDsVo6ewkPdxHbdhbFlfOzW6wrp5NAvYeH+P4QJLjA0nWtETYsfYki3jbmpJaOpmKIMqbeUzbxNAMDsWPciR+jFQxxbZyFGehMG2z6i4Ycgep9dWQKht6bK3bvKDPdSo6Qm0MZocZzo4A0BZqWbRzrwmNK5p3UrAK+IyZU1g3xdZT56tFSkmtr6Y6lg2xtWwoC66ZxufUya2lOdDISG6MgMtPg396a4bJyzrD7fhPkUo7Hw73JDjc40QAL+iMIQf3OONbIJfViWjy+ETdatllcTFSFvWaVrTY4n0mFArFuUcIwbPpG6286xWKlYrL61jVm0VkNo4I1jo38sweIbNTQ0izCJo+0XvMu/B22ueCpbj50hpWYw05boJarAUxQ+Pp6JYrCaeGMY8+Wo1YoukIb5gN7Rq1YS+HeuIMjuc42pegozHIyQlpspCZlsoITkqdS3dRskpkzRwhV5D+zCAAY4X4Qr5UAHJlMebSXLh1F2sineTMPKtC7QTm0VNrvggh2Nl4EWP5cbKl3KLb/mtCm1WMAdNs+M+UkDs4Jdp4MoZmsL1+K+OFeFXgLQRSSg73JthzzImOX7C6htawpNSddz6jC5S6LPwREJrTgqOYddxKrcVNWVRiTKFQrGRWThW/QqGYghCimq5njZxwmkJXBNlJN/NauAHhdmzbzeNPOGmOld5jrmdHOsBCoHlD6K1b0Oo6MFZfMnMUxOVx0kD9E5EvLdJYtcKvjXi54oImOhqdG/JdR0ardUQVTlVHFjAcIZQtZUmV0mRLTquDTDFD8aS+bGdL1nQigb7yZ8RneNnZeNGsvbQWE01o1Plq6Qi3nTPL/6WkLdTChXVbpjhBni2HeibE2LrWCOtaI8iEI+i1UN1EP8OzRGjGxCRQJg5MpCwqUw+FQqGYzvn/q6ZQnMfo9U5TW3usxxFZtu04KhonRcgMN8Y6p2egHe+vNkTWvCE1s3yGGM0bcXVeclpHx8k9mirnaTJbVtXgMjTi6QLjhmNiIcopkKcSZP5yZCpTyjFQjo5VqDQRXiiyZZMY/ymiRYqVw9C4cz43tke5YHUN9ngfZs9ugAWvxdQCUQBkrvyZXMQaMoVCoVjpKEGmUKxgRCCG8EfBtrCHjjrLDE81GjNlW1+kmi5kJ4bKy1Ze/dhKQQtO1AGJ0PQ6IY9bZ2OHkyL2VL6V0fZr0GOtAMiy4cpMBMr1RFkzy0DGOY8uzbnJXWhBlqtEyJQgOy8olJx6xrqoDwoZzKOPVNdpM6Tfng0nGwktpqmHQqFQrHSUIFMoVjBT0hbHHbvt2VIQhRATlvfJiiBbmfVjKwGtrhO97QJcF1w7axRyTXOYaNBDwZQ8cjDBoBUBIbCTw9i55Iz7+Mspi0PZEVLFNEII1kQ7ARjOjczq0DgfKimLC20qoVgaKoLM49Kxy1FyAKNzx5SI7kJQNRKquMCqlEWFQqGYlTlV1z766KPzOvill146r/0UCsXc0QIxx7TaLACnjnoJt99xWqzcHHlVhGyxEJqG0bThlNtomuCai1o4OpBm9+Fh9vbluSbahIz3Yw8fQ+vYPm2fiplGxf2wzldLa7CJQ+NHiecT9GUGzqo582QqETKVsrjysW1JsSLI3DoyXu4nV9eJXte54M9XjZAVMkjbnEhZNJQgUygUipOZkyB761vfekZ1JhWb23379s17YAqFYm6c7IymRRpm2dIRZFMeq5TFJcfQNS7e1MChE2OkcyWGYvXU04+dGJxxe/9J7oZN/gZ8ho/1sTUcGDvEvrGDNAcaz9r4QkpZrSFTKYsrn0p0TBMCt6FhliNXixYlNzzOP7OAPd6HLJYNh1SETKFQKKYxJ0H2ve99b7HHoVAo5olweUFoIG3AcVScFc+km3nDg3AtTN8hxdnhMnRWt4TZe2yMwZxBPSCLOaS0EScJK7fmoinQwFg+TtgdojnYBMCayCqOJU5QMAuM5ePU+WpmeKa5U7JLmLbTO0pFyFY++aIjyNwuHSHEovchFEKg+ULYqQLmsccnViyS7b1CoVCsZOZ0ZbzssssWexwKheJsEEC5dOhUzV0n2+Frqn5sWdEQ9bEXGErb4BKOwC4Vpjf5FoJLGi+atr8mNJoCDXQle+jPDJy1IBsqN2EOuAMLar2uWBqmpCva1rnpQ+gJQGpk6jIVIVMoFIppKFMPheI8wOjc6fy/6qJTbjc5ZVEZeiwvYmEPuiYolCQF3ADIYvaMjtEccAxeBjJDlMrRrfnSk3ZMYloDC1OPplhaKhEyr0s/Z30I9ajz2dFiLWC4Ef7otIivQqFQKOYYIZuJQqHAXXfdxd69e0mlUti2PWW9EILPfOYzZz1AhUJxevSaVrTwy087+zxFkClDj2WFrmnUhL0Mx3OkTAOPXigLsrk3Ya7xxvAaXvJmnkcHnuDypkvmFd1KlzKM5scBFswgRLG0VGrI3C4dmXXaIyx2H0It2oz7ousRhgdpmU5qtUKhUCimMS9B1tvby9ve9jZ6e3sJh8OkUikikQipVArLsojFYvj9/tMfSKFQLBjCcJ9+I5enWm+mDD2WH3URR5Alizp1PqeO7EzQhMYljdt5ZOAJxvNxulI9rI6sOqNjFK0Sjw0+BVJS56tVlvfnCRVB5nXrE20vwvWL/ryVFGqhascUCoViVuY1XfX5z3+edDrN7bffzp133omUki9+8Ys8+eSTfOQjH8Hr9XLrrbcu9FgVCsVZIoSGXrcKEayZ5s6oWHrqIo74GS9oTklg4cxSFgGinggbY+sAOJHsOWVfspJV4vHBpzkSP15ddiLZRaaYwWt42VZ/wRk/v2J5UiinLHoMURVkpzQAUigUCsU5Y16C7KGHHuKNb3wj27ZtQ9MmDuF2u3n3u9/NFVdcodIVFYplirHqItybnodQRg3LjljIg65r5Gw3xZJ1xjVkFVqDzRiaQaaUYTg3OuM2UkqeHt7NQGaQ/WMHKZb7RI3l4wCsi67GZyxefZHi3FKNkNlpMItguNSkjEKhUCwT5iXI8vk8ra2tAASDQYQQpFKp6vodO3bw+OOPz7a7QqFQKGZA0wS1YQ+m7iGbN+ctyAzNoC3kXKMPx4/NGCU7ljzBYHa4+nggO4gtbcYLTn1RzBud13MrlidVU4+iUxuohRqUwYZCoVAsE+Z1NW5ubmZw0GlaahgGjY2NPPXUU9X1hw8fxuNR/Y0UCoXiTKmL+DA1L4lMkXw6fcqUw1OxNrIKTeiM58enRcmGs6PsGzsEgKdc49OfHiRVzGDZJoZmEHQFzu6FKJYNUkqyBcd102OXGzSrGlKFQqFYNsyryvaKK67gV7/6FTfddBMAr371q/nGN75BMpnEtm1+/vOf88pXvnJBB6pQKBTPBhpiPvbpXvJFi67+cTbns+i+MxdHXsPLqnAbxxInOJ7sosFfV113JHEMpKQ91Mra6Gp+030/I/kxnhh6GnDq0DQVPTlvyBZMLMtG0wQeUUICwq3SURUKhWK5MC9B9p73vIdnnnmGYrGI2+3mve99L0NDQ9x1111omsYrXvEK/u7v/m6hx6pQKBTnPdGgh6u2tXLigRAUkiRHh4i1rZ7XsTpCjiAbzY1RtEq4dRfZUq5qab8uuga/y8eqcDsnkt1kS06KpEpXXJlI23YcVE9yNExnnfrAoM8FZgEAodwzFQqFYtkwL0HW0tJCS0tL9bHH4+HTn/40n/70pxdsYAqFQvFspS7qoz9Uh11IkjkLQRZ0Bwi5g6SKaYayw7SFWuhN94GU1Ppqqpb2F9Ruwmt4GcgM4tE9tJfrzxQrC/PQA9jZBO4LXzKlDUaqLMhCfjcyX26lsIgNoRUKhUJxZpxxTkoul+Pyyy/nW9/61mKMR6FQKBSAL+akGObjM7skzpWmgGNt3p3uI1lMcSRxHIC24MSkmhCCddHVXN16BZc27VDuiisQKSV2agSsEnZiYMq6VLYIQMijOQ6LgHCrCJlCoVAsF85YkPl8PnRdx+dTF3OFQqFYLAK1jiArpsaQ0p73cVqCzQghGMuNcX/vQ1i2RZ2vlpZg00INVbEcsM2Jv8uiq0IqV46QuR2nRTQddNe5GplCoVAoTsO8qrZf8pKXcNddd83b/UuhUCgUpyZaW4MtDMxiiVI6Oe/jBF0BLqq/EIRASknIHWJ7/VZl2nG+MUmEyVJ+4m8pqxGyoOEIe+H2IYQ4t+NTKBQKxazMq4bs5S9/OZ/85Cd529vexute9zpaW1vxeqenuFxwwQVnPUCFQqF4NuLzuMETRObjZBJx3KHovI/VEmzC7/JhS5uYJ6puxs9D5GRBVshU/84XLUqmjRACv17CBoSqH1MoFIplxbwE2Vvf+tbq34899ti09VJKhBDs27dv/iNTKBSKZzueAOTjWPn0WR8q6okswIAUy5ayeyJMFWSVdMWA10Az89igDD0UCoVimTEvQfbZz352ocehUCgUipOQLj8AVu7sBZni/EaapYm/8+nqxGg1XdHvQpacdgfK0EOhUCiWF/MSZK9+9asXehwKhUKhOAnhdRpC20qQKU7HpAgZtgWlPLh91R5kIb8bWXRqy1TKokKhUCwvzrqqe2hoiP3795PNZhdiPAqFQqEoI9xBAGRBCTLFqZEnOStW0harPch8LmQuAYDwhs7t4BQKhUJxSuYtyO69915e9rKX8bznPY9Xv/rVPP300wCMjY3xqle9invuuWfBBqlQKBTPRoSvHCEr5pC2tcSjUSxrzCKjyTz9oxlS2SIPPnmMgbEsqVy5B5nbSWUEEIHoEg5UoVAoFCczL0F233338ed//ufEYjE+8IEPTLG/r6mpobGxkf/8z/9csEEqFArFsxHD7cUWBtKWU4waFIqTKeZzDMdzJDJFekcy5PN5HtozQKHoCPkAzudHeIMIw7OUQ1UoFArFScxLkH31q19l586d/PjHP+bNb37ztPUXXXSRclhUKBSKs8Rl6Ji6D8uWoASZ4hTEE070SwodAF1ONIoOeF1o+XK6oj96zsemUCgUilMzL0F26NAhrrvuulnX19XVMTo6Ou9BKRQKhQJchkbBCGBLiZ1W11TF7CTKgqykOYYdq+p9rGuNsKYlwiUb65EZx2FRC8SWbIwKhUKhmJl5uSz6fD5yudys67u7u4lGo/Mdk0KhUCgAl66Rc8WwS6PYyaGlHo5imZIrmOSyWXRg7epmrPF+ojUeXJ21ANjJIUqJQQBEsHYJR6pQKBSKmZhXhOzyyy/n//2//4dpmtPWDQ8Pc/vtt3P11Vef9eAUCoXi2YxhaOTcNVi2RGYTyOLsE2GKZy9H+xJoVgm/xyAcixEOuMF2fp+lbWMeewykjVbbrlIWFQqFYhkyL0H2oQ99iIGBAW644Qb+/d//HSEE999/P1/84hf5oz/6I6SUfOADH1josSoUCsWzCpeuYWsu8oZjU66iZIqTMS2bE33jCGxqwl6Ex3HmxHLs7mUhjSwVQHdhrNqBEGIJR6tQKBSKmZiXIFuzZg0/+tGPiEajfOlLX0JKya233srXv/51NmzYwI9+9CPa2toWeqwKhULxrMJlOJfojB4FQKbHlnA0iuXIaDKPVSriMnSCfg+Umz7LiiDLJQEQvhBC05dsnAqFQqGYnXnVkAGsX7+e73znOyQSCU6cOIGUkvb2dmpqahZyfAqFQvGsxdAdQZbT/Eji2PnkEo9IsdwoFC2EtHEbGug6Qnc5K04SZJo3vFRDVCgUCsVpmFeE7Ctf+QoHDx4EIBKJsG3bNrZv314VY4cOHeIrX/nKwo1SoVAonoVUImQFzYeUEplLTen7qFAUTRsNG10TCKGDcZIgy6cAJ0KmUCgUiuXJvAXZgQMHZl1/6NAhvvrVr857UAqFQqEAQxcIISjpfmwpnJvskjL2UExQLDkRMl0XoOkIzUl8kVbZ1KOasqgiZAqFQrFcmZcgOx3xeByXy7UYh1YoFIpnDUIIDF0ghYbt8gMgc6klHpViOVE0bYS00DUNNG1ShMxEWiay3FBceFWETKFQKJYrc64he/TRR3n44Yerj++55x5OnDgxbbtUKsUdd9zBhg0bFmaECoVC8SzGZeiUTBvTFcBtZZ2IR6RxqYelWCYUSxainLKIZoA2MRkqM+MgpSPSymYfCoVCoVh+zFmQPfzww9W6MCEEd999N3ffffeM265bt46PfexjCzNChUKheBZTqSOzXEHID2PnUyivPEWFYslGk5UaMg2haaAbToQslwBAeILK7l6hUCiWMXMWZO9+97t585vfjJSS5zznOXzyk5/kJS95yZRthBD4fD48Hs+CD1ShUCiejRi6cyNd0n3OgmJ2CUejWG6UzKk1ZABCN5CWiZ0tCzK3fymHqFAoFIrTMGdB5vV68XqdlIdf/epX1NTU4PP5Fm1gCoVCoQCPy7nJLthOpEyapaUcjmKZUSjZuKo1ZOXYqe4C8pMiZEqQKRQKxXJmXn3IWltbF3oc8+a+++7jX/7lXzh27BgtLS285z3v4bWvfe0p9+np6eHaa6+dtnz79u3cfvvtizVUhUKhOGP8HucynTPLKWe2uYSjUSwnpJQUTQt3tYZssiCb5LDoVpOnCoVCsZyZd2Po/fv384Mf/IC9e/eSSqWwbXvKeiEE995771kP8FQ89thj3HTTTdxwww189KMf5aGHHuLv//7vCQQCvOxlLzvt/jfffDOXX3559XEgEFjM4SoUCsUZ4/M6l+lsyRFkKkKmqGDZEtuWk1IWnSiq0F1IcAw9UCmLCoVCsdyZlyB7+OGHefe7300kEmHr1q3s3buXK664gkKhwFNPPcW6devYunXrQo91Gl/72tfYtm0b//iP/wjAFVdcQXd3N1/+8pfnJMhWrVrFRRddtMijVCgUivlTiZBlKoExq4SUUpk0KCiWLAAM4XwexEkRsioqQqZQKBTLmnn1Ifvyl79Me3s7d955J5/5zGcAuPHGG/nxj3/MT37yEwYHB+ckiM6GYrHIww8/PO15rr/+eo4cOUJPT8+iPr9CoVCcC/xe5+Y6WygvkDbY1tINSLFsKJSczBRDkwgAUTH1mCrIVIRMoVAoljfzEmR79+7lhhtuIBgMouvOD0AlZXH79u28/vWv50tf+tLCjXIGurq6KJVKrFmzZsrytWvXAnD06NHTHuMTn/gEmzdv5sorr+Qf/uEfiMfjizFUhUKhmDd+j3ONzZtgy/JCS6UtKhyHRQB3pQ9CxWUxVDuxkaZPj5gpFAqFYlkxr5RFXder9VbhcBjDMBgdHa2ub29v58iRIwszwllIJBLV559M5XFl/Uy43W7e+MY3cvXVVxMOh3n66ae55ZZb2L17N//xH/+By3V2P16GMS+du6Doujblf8XKR53T85PTnVfD0PC4DUqmhSUMDM1CFxbaMrjOKGbnXHxfLQmaJvDozv+6y8AwNPS6Nuzjj5e3snG5VOe6hUBdg89P1Hk9P1lp53Vegqyjo4Pjx48DjnnHmjVruPfee/njP/5jAH7zm99QV1d3xsdNpVIMDQ2ddrv29vYzPvZkGhoa+MQnPlF9fNlll7F+/XpuvPFG7rnnHq6//vp5H1vTBLHY8jEHCYdV7cD5hjqn5yenOq/1NX7GUwU0lxevUSIcdGGEl891RjE7i/l9HUoW8PncBG0XXp8bfySIt/z7k+5YS3G4GyMYI7yMfpPOB9Q1+PxEndfzk5VyXuclyJ73vOfx05/+lL/8y7/EMAze8Y538Hd/93fVRtFdXV3cfPPNZ3zcO++8k3/4h3847XZ33HEHkUgEcETcZJJJx+a3sn6uPO95z8Pv97Nnz56zEmS2LUkml75xq65rhMM+kskclmWffgfFsked0/OTOZ1X2yaXK5IsmrjcReyxJLq1Mn5knq2ci+/ryGiGXK6IrRXJ54pY6SK58QwAsv4CTNuLjLUwXl6mODvUNfj8RJ3X85Plcl7DYd+conTzEmTvf//7edvb3latH3v1q1+Npmncfffd6LrOe9/7Xl7zmtec8XFf97rX8brXvW5O2xaLRVwuF0ePHuW5z31udXmlduzk2rJziWkuny+0ZdnLajyKs0ed0/OTU51Xj0vHtiU5CbYhMQsFpPoMrAgW8/uazZvYtkTXHPt7SwqoPpeGaFiPDdjqs7KgqGvw+Yk6r+cnK+W8zkuQuVwuYrHYlGWvfOUreeUrXwlANptlcHCQxsbGsx/hLLjdbi6//HLuuusu3v72t1eX33HHHaxdu5a2trYzOt6vf/1rstksF1544UIPVaFQKM6KSMANQKoIeFGmHgoACmXbe5dednvRVK2YQqFQrETm3Rj6VHz3u9/ly1/+Mvv27VuMw1d53/vex9ve9jY+8YlPcN111/Hwww/zy1/+ki9+8YtTttuyZQuvetWrqhb9n/vc5xBCcNFFFxEOh9m1axdf//rX2bp1Ky960YsWdcwKhUJxptSEvQBkCk6vX2mZp9lD8WygKshEuQG0EmQKhUKxIlkUQXau2LlzJ//6r//Kv/zLv/B//+//paWlhU996lNcd911U7azLKtqyw+ONf6Pf/xjbr/9dvL5PI2Njdxwww188IMfxDBW9FuiUCjOQwJeA49Lx0SjULIwVIRMARSKZUGmSZCoCJlCoVCsUFa8+rj22mu59tprT7nNgQMHpjw+k1o1hUKhWGqEEMRCHgpxg1zBJGAVl3pIimVAvhwh0zUJFkqQKRQKxQplZZjzKxQKxbOcWMiDJRxBJk0VIXu2Y1p21TnMKKcsItRPukKhUKxE1NVboVAoVgDhgBspDEqmDbaqIXu2ky+nK+q6hoYy9VAoFIqVzJxTFvfs2TPng86lubNCoVAo5o7XbWBrBqZlg4qQPespltMVvS69KtCVqYdCoVCsTOYsyF772tcihJjTtlLKOW+rUCgUitPjdetYwsC0JLYy9XjWU4mQeVwaVJqeKkGmUCgUK5I5C7LPfvazizkOhUKhUJwCj1tHai4kErOQx7PUA1IsKRXLe49LgKlqyBQKhWIlM2dB9upXv3oxx6FQKBSKU6AJge71A2Dmc0jLROgr3ih3WSGlxDrxFNIsYKy9fFlnelQs7736pDFq6vOgUCgUKxE1naZQKBQrBLfPh6W5MS0bmU8t9XDOO2RmDGvkOHa8H1lIL/VwTslEhKy8QAjnn0KhUChWHEqQKRQKxQrB69Yp6gFHkOWSSz2c8w5r6OjEg1Jh6QYyB5IZpxed31X+Gdf0ZR3RUygUCsXsKEGmUCgUKwSv26Bk+DEtqSJkC4w0C9jxvonHy1iQWbbNeNoZXyxYTlMUytBDoVAoVipKkCkUCsUKwVeJkJkqQrbQyPQ42PbEAjO/dIM5DeOpArYt8boN/G4nKqYs7xUKhWLlogSZQqFQrBC8boOioVIWFwM7Oz7l8XKOkI0lnbHVhD0IWbG8Vz/nCoVCsVJRV3CFQqFYIXg9OqVKDVkxh1T9yBYMmXEEmXA7TpaytHwjZKMJZ2y1ES9I1YNMoVAoVjpKkCkUCsUKwevSsTWDoiybN5jFpR3QeYKUErssyLRok7NwmQoyW0rGUmVBFvZWRblQlvcKhUKxYlGCTKFQKFYILsO5ZJvlFpIqQrZAFDKOuNV0tHADsHwjZMlMkZJp4zI0wgE3WKazwnCdekeFQqFQLFuUIFMoFIoVgq47l2xL6kgAUwmyhaBSPyb8EXD7nIXLtIaskq5YE/KiCQEVUa4iZAqFQrFiUYJMoVAoVgiuiiDTDGxbqgjZAlGpH9P8MYThcZaZBaS0T7XbkjCanFQ/BshyhEzoKkKmUCgUKxUlyBQKhWKFoGkCXRPYwhFkWKqGbCGo1I+JQAxcHhACpFyWNXqTHRaBiQiZriJkCoVCsVJRgkyhUChWEIahOYJMSpWyuABI20ZmEwBogRhCaAjD7aybVEdmZ8axRk5gp0eXZJzgGHrki05ELOjWsBODyIooVxEyhUKhWLGoKTWFQqFYQRi6hq1SFhcMmUuAbTmmGJ6As9DlhVIBO96P5o8iCxlKB37nNI4WAvfWFyMq255DLEsCIKQFB39NqZSrrlMpiwqFQrFyUREyhUKhWEG49EkRMpWyeNZMqR8TTjsBvWENAFbffuzUMNbwMUeMAUi5ZFEy03LGUJs5BpPEGKBSFhUKhWIFowSZQqFQrCB0XWCVa8ikSlk8a6oOi4FYdZle14lW0+asH+/FGjnhbOMNAhMi7lxj2U6EzG/FESevVIJMoVAoVixKkCkUCsUKwlVNWWTC0EExb6oRskmCDEAL1QNgjXSBWUS4/egtm4AJE5BzjVWOkOlMd38UmkpZVCgUipWKEmQKhUKxgjB0DVu4sOTyryEzLZtkdvmmVUqrhMyngakRMgDhCzl/2JbzOFyPFqhx9sslkOXl5xKzXEM2kyBTETKFQqFYuagruEKhUKwgKi6L0l7eLovH+pPsPT5GybTZsb6eVU2hpR7SNGQmDlIi3H6EyztlnfBOHa8WiIHbD4YHzAIym0AEa87haMEq17EZYoYImTL1UCgUihWLipApFArFCqKSsmhJuWxTFuPpAruOjFIyHeHgCLNzH1E6HTPVj1UQhhvh9k08DjimH1pZhNnxvnMzyEmYlgRpo80YIVOCTKFQKFYqSpApFArFCsLQJxpDL8eUxWLJ4qlDI0gpaakLEPK7KZQs9p2IL/XQpiHTY8DMggxA+MLOH5qO8Dp/63WdAFgjJ5C2uehjnIxp2WjSRhPTLD1UyqJCoVCsYJQgUygUihWEoWtVl0Vs65yLglNh2Ta/39VPPF3AZWhcuKaWC9c4EaWjfQke2TfIcDx3mqOcG6RtY6dGANBCdTNuU0lbFP4IQnN+LkWkwelBZhaxx3rPzWDLWLZESMsRZGLqz7fQ9HM6FoVCoVAsHEqQKRQKxQrC0DWk0Cn7OyyLOjJZyGD27mV0NE4qW8Tt0rl6Wws+j0FDzF+tH+sbyfDIvkFHTC4xMjPmpHwaHoQ/OuM2WqwVdAO9dlV1mRAaWqzFOUY2cS6GWsWyJJq00DRUREyhUCjOI9QVXaFQKFYQhqGBEFg4ERFplRD4TrPX4iHNAsVn7gag6E4DddSEPUQC7uo2W1fXognBsf4kJdNmPFWgNuKd5YjnBjs5BIAWaag2hD4ZLViDZ8cfTVteqS2TZn7xBjgDpmUjpIUQAqEZSJavg6VCoVAo5o4SZAqFQrGCcOmOeDBF+fK9xHVkVs/e6t+l5ChQR9A31WDCZWhsX1dH0bTpHU4zksgtH0EWbjzttlJKnjo8wnA8j8+tc3lrWWyWCos5xGlYdjlCJgToKkVRoVAozhdUyqJCoVCsIAzduWybsnxDvsSCTOZT1b+LeSdiNFmQ2bkkpYP3YycGqCuLsOH4uY0snYyUNjLnpBtqc7Cuz+RNTgykyOZLjCbzDCYdl0NZWpoImaYJ0AzQ1E+4QqFQnA+oq7lCoVCsIE4WZNJaWlOPyU6PVi4FUhL0ThJkQ0exk8OUDj1InduJKI2n8pjWDNbt5whZyIBtg6Y7vcVOQyY3VfR2jzmP5TmOkJmVGjIBQjdAqCiZQqFQnA8oQaZQKBQriIogK1Uu30ssyCrPb0uJWbLQ7QKBSREyWUhX//aM7MfrNrBsyXjq3IqZychcEnBs7WerH5tMOu8IsJqwFyEEIxmbommDVTqnLpeWbaOVa8jQjAl3SEP1IFMoFIqVjKohWwJs28Za5Jso2xbk8zrFYgHLWnpHM8XZo87p+YWuG2jzSDlzGY6AsKROoVhAX+qURdt5/pJpI5H4RQGveyJyMzmlUWbGqY+sp3vYZCSeoz66NGYkMueMSfhCc9q+EiGrjXgxdMHQmE26YFFjaE4dmefc/JRalkRQSVnUMdq3YXmDaLUd5+T5FQqFQrE4KEF2DpFSkkyOkculT7/xAjAyomHbS5cWpFh41Dk9v/D5gtTUzNwDazZ0XcNlaNiazvGBFPXRJM1NizTA0yClBMvEtGwGck6UJmSUqlEnaRaRxXKdlRBgW9R7TbqB4USezUszbGTeiZBp5WbPpyOTcybQgl4XhiYYGs+RLenU4NSRCU9gsYY6BbMcIdOEQOgGwuXBaNt6Tp5boVAoFIuHEmTnkIoYCwZjuN2eOaXKnA26LlQk5TxDndPzAyklxWKBdHqceFxQUxOc876aEDxnazPdu3qQOcmRE6N42wvEQp5FHPEs2Ba2bdMznGFYqycENPgmJgwq0THh9iO8QezkELVGDtCJpwqUTBuXce4z5ydSFkOYlk3XYJqasIdo0HkPB8ezjCXyrG+PYuhaNWUx4DXwepzoX6rkjPtc1pFZVqUxNI6ph0KhUCjOC9QV/Rxh21ZVjAWDc5uVPVsMQ8M0VTTlfEKd0/MHt9u5+U+nx7Es64z2jYU8hNY0cCJ5jJQ06R1JL40gs0oMjefIFy1kNMyqSJpAZGKiabLwEf4oJIdwmykC3noy+RJPHR5hbUuYWGjxJ6iqY7JtZD5THleYI70J9p0YB6ClLkDI7+ZgdxwpJfF0kUs3N5DLOxGygM+FrjnjzJk6lm1inEOnRdOy8UgLoQnVGFqhUCjOI5SpxzmicsNVuQlTKBSKyvWgVDrzOjBhuAj53WjSWjKDjFQ6SyJdxBYGW9Y24/MYU3pzTdRqhRGBqLMsM87mzhiaEPQOp/nd033sLQuic4EspEHaoLvA5WM8PTHevpEMB7rGkVIihGBwPMuj+4awpcTQNbxuHbdLJ+BzYWpu8kUTaZ7DCJldiZAJFSFTKBSK8wglyM4x52oWWKFQLH/O6nqgG3jdOpptEk8Xse1zn8p6uGsEiSQY8hGLOQYZ0ipW18tiORLlCaL5o86yfJrWOj9Xb2vGXzbDGBjNLvpYpZRYYz3I1IgzJl8IIQTJjCOGL1xbS0tdgMaYn4vW13HZ5gbASV8ECAfc1fNVE/JgaW76R7PExxKLPvYKpmVP2N5ryvJeoVAozheUIFMoFIoViNBcuF06Ls3CsmyS2eLpd1pASqbFyJhjUNRQG5mwXjcnon2V+irh8oLLC0JzolOlPDVhL8/f0YoQglS2SL64yM6zo12YRx/F7HoacAw9SqZNtlwf1lYf5LLNjVy5tYnOpjDNtQHWtUYA8HtdbF9bWz3W6uYwhtfv1J919Z+znmpWuQ+ZSllUKBSK8wslyBRnxNVX7zztvzvu+MVSDxOAW2/9Os888/Sctr366p386EffP6vn6+/v49Zbv87IyPBZHWe+nMlrGB8f53nPu5wXv/gaCoVzVwNzMk888RhXX72T/fv3ntPnveOOX3D33XdOW37TTe/hr//6Q+d0LPNGNxBA0O1Ebc512uLQeA5hm3hcOn6/F2G4ASdCJmU5Wlepr3J5EEJDuL3ONsUcAG6XTjjg7DeaWNzPoR3vn/JY+EKkyiLW6zbwuKZHnC5YXcPV25p5wY5WIsGJdPOasJcrrrgQl2Gg58fpOt67qGMHsG2JLVXKokKhUJyPqCu64oy45ZZvT3n83ve+gxtueD0vetHLqstaW9vO9bBm5Nvf/iY+n58LL9x+Tp6vv7+Pb3/7m1x11XOpq6s/J885X+67724syyKXy3L//b/j2mtfstRDOqfccccv8Pv9vOQlL5uy/C//8m/R9RUyT6U7ESl/OTCVSJ/bCNnAWA7NNp0m0LoBuiOssG2wLaSmT42Q4bgtykIWWcwCTsSpNuwlkS6w5/g4NWGvU4e2GIip51X4wiQyznsWKYvCabsIQV1k5l5phjdArHUVQyeOkHvmVxS8z8HTumFhxzyJShTOSVl0IVSETKFQKM4b1BVdcUZs3XrhtGUNDU0zLj8TCoU8Ho/3rI5xvmFZFlJKDGPhv6b33HMXnZ2ryWQy3H33/5wXgmwhPkOrV69ZoNEsPpUbcpdwbtSL5pk5NZ4Nti0ZGs/ikSZBr8uJ1mg6aJojyKwiSN1JTwQwytEltx8AWXDqsqSU1Lty9BfHkEX4/eN5XnzlukWptZWFzJTHwhsiNewsCwVc8zpm/fotxHuPUzQtRvc/TlO0Hi0QO+uxzoRVrhHUsBEC5/1WKBQKxXmBEmSKBeUPf7if22//EYcPH6JYLLJqVSfveteNXHHFc6rb3HHHL/jMZz7JLbfcxre+dQu7d+/i+uv/iJtv/huOHj3CP//z59i3bw8NDY28853v4de/vpdUKsVXvvKN6jGOHz/GLbf8K08++TiWZbFjxyV86EN/VY3OXX31TgD+7d++xL/925cA+PKXb+Hii3fO63Xt3r2L73//2+zfv49MJk1bWwdveMObednLXg44qXcf/OB7AXj3u99W3e/++x8DIJVK8fWvf5Xf//7XJJNJVq9ey3vfexOXXXZFddubbnoPfr+fF7zgRXzve7fR19fL17/+berqGvjGN77Kk08+wdjYCPX1DbzgBS/iHe/4M9zumWf2T0VfXy+7d+/iz/7sfaRSKf7v//0JyWSCcDgyZbs//OF+vv/92zh48AAul5t169bzwQ/ezIYNm6qv6Vvf+hq/+91viMfHqaur59prX8J733vTlGN8+9vf5MiRw/j9Pp7//Gv5wAc+hM83c9QBnJv0H//4B/z85z9jcLCfuroGbrjhT3j9699c3ebWW7/OT37yA770pa/xpS/9M4cOHeDd734fb3rTW/na1/6VBx+8n/7+PgKBINu37+DP//xm6urqqu/zU089AUx8Tt7xjj/jXe+6sXoOPv/5f6k+11NPPcEtt3yFgwcP4PN5ueqqa7jppg9V36/+/j5e97o/5mMf+0f27HmGu+++E4/HzYtffB3vfe9NiyKogWqETMcGaVM6h+0QjvUnKZQsIobE5zEQugshBEJ3I+080ixORKQMD0Jz/hYeR5BRTlm0R08QG3ySzVaW8XQBM+WhWFqNx72w75mUcpogw+UlnYsDEPKd+fcIwAjXE9l6DYNP/56xVJ5I72ECGy49y9HOTOX8GmUBrlIWFQqF4vxBXdEVC0p/fy9XXXUNb3zjW9E0wUMP/YG/+qu/4Etf+to0MfTJT/4Df/zHr+Ztb3snHo+XQiHPzTffRDAY4mMf+0fASTtMp9O0tLRW9+vt7eG9730na9as5aMf/QSaJvje927jL/7iffzoRz/F7XZzyy3fnpZOuXr16nm/roGBfi68cDuvetVrcbs9PPPM03zuc/+ElJLrrnsFGzdu4uab/4YvfOF/89GPfpyOjs7qvqVSiQ9/+AOMjY3yZ3/2furrG7j77jv4q7/6C2677YesXbuuuu3+/fvo7+/j3e9+L6FQmIaGRsbHxwmHI/z5n3+YaDTC8ePHue22bzA6OsJHP/rxM34t99zj1E69+MUvI5VK8ZOf/ID77ruXV73qtdVtfvWru/nEJ/6eq69+Hh//+KdxuQx27Xqa4eFhNmzYRLFY5C/+4r309/fzjnf8GWvXrmNoaJBdu56qHuPXv76Xj3/8o1x//R/xrnfdyOjoCLfc8hVSqSSf/ORnZx3fl770f/jFL/4fb3vbO9myZSu7d+/ia1/7VzweD6961Q1T3tdPfvIf+JM/eRM33viBqkAaHx/jrW99B3V19cTj4/zkJz/kppveww9+cDuGYfCXf/m3/NM/fQyPx8sHPvAhABoaGmYcy/79+/jwhz/Ajh2X8E//9DnGx0e55ZavcOzYUW655TZ0fSJK8Y1v/BvPfe7z+Kd/+izPPLOL2277Bm1tbVPGvKCUI2S6JtBs65wJsmLJYn+XY1O/qt6HKI5XxSGGy6kbM0uAE9ERronaK+F2hLgsZh3Xw8HDCAFNLQ0kD/eAXaCQz+FxhxZ20GYRLMe8Q6ttRwvWIYQgX3Siij7P/KNNzas7OT6cRet9mJ7DB1i3+kJ018JH+zNl8xG3Vn5fVcqiQqFQnDeoK/oSI6WspqIsOILTun/pmljQ9KDXvvb11b9t22bHjp0cO3aUn//8Z9ME2Stf+Rre8pY/rT7+z//8D8bHx/ja126lubkFgE2btvCGN7x6iiD79re/STgc5otf/Coej3Ozt3Xrdv7kT17JL3/5X7zmNa+rplAuRDolwIte9NLq31JKtm/fwdDQIP/1X//Jdde9gkAgSGenI/jWrFnLpk1bqtvffff/cOjQAb7znR9XU+Iuv/xKuru7+c53vsU//dPnqtsmkwm++c3v0tjYVF1WU1PLTTd9CHAaQ2/ZciFer49Pf/rj3Hzz3+D1ntnN37333sUFF1xYfU9XrerknnvurAoyKSVf/eqXuPTSK/jsZ/9Pdb8rr7y6+vedd/43Bw8e4JZbbmPr1m3V5ddd94opx3jhC1/M3/7tx6rra2vr+Ku/+gve/vZ3s2bN2mlj6+3t4ac/vZ2PfOTveOUrXwPApZdeTj6f59vf/iZ//MevQStHW0zT5D3vef+0dMvJItWyLLZu3carX309TzzxGJdddgWrV6/B7w/g9/tP+9n43vduo6amls9//l+qka6GhiZuvvkmHnzwAa6++prqtlu2bOVDH/qr8piv4IknHuPXv75v0QSZEBpoOppmolnmORNkA2NZSqZNyO+mPuxCjlAVh0J3Iylb39vOeMQkcSIqKYvFLDI14vQp0w1cm5+POPFTKGQpZjIQXlhBJgvp6vO7Vk9ch3IFx9nRexYROSEE27at5+DwXvL5FH1Hj9G+cfPZDXgGMnkTpI1XL/9eKEGmUCgU5w3qir6ESCn5/a5+xpKL4y6maeK0vYlqw16u3ta8YKJsaGiQb3zj33jssUcYHR2puq1tnOEG5TnPuXrK4/3797JmzdqqGANobm5h7dr1U7Z79NGHuPbal6DrOqbp3FCFQiE2bNi4aG59yWSS2277Or///W8ZGRmuNvqORCKn2RMeeeQh1q5dR3t7R3W84AiNu+/+nynbrl27fooYA+dz8h//8WN+/vOf0d/fR6EwqZFtXw9r1qxjrhw6dJBjx47yoQ99pLrsRS96Kbfd9g0GBgZoamqiq+sEQ0OD1ejRTDz++CN0dq6eIsYm0919goGBfj74wb+c8pp37LgYTdM4cGDfjILs0UcfBuD5z3/hlP127ryMH/7wuwwNDdLU1FxdPlkkVnjwwQf47ndv5dixI2QyE2lq3d0npqSIzoVdu57kRS966ZS0w8suu4JgMMSuXU9NEWQnH7uzcw1PPPHoGT3fmSIMF7pWRJPWOashq7ghNtX6EZaJBEQ1QlZO/TNL1YgUUyJkEzVk9lgPAHptu5Py6PY4gix3UmrhAlBJVxTeQHWZaU2keZ5NhAwg6HNT176K8SO76Tp8FDvSxqrmhRWV6VwJ3S7hNjQQYsJERaFQKBQrHiXIlpjzqU20bdv87d/eTDqd5t3vvpHW1nZ8Ph/f+tYtDA4OTNs+Fqud8nhkZIRodHpBfCxWM8WaPR6Pc/vtP+b22388bVvDmF9x/un4zGc+we7du/jTP303q1evJRAI8LOf/V/uu++e0+6bSMQ5ePAAz3/+dDEwOeUNoKamZto2t9/+I7761S/xpje9jUsvvRS/P8i+fXv5whf+N8XimTnr3XPP/6BpGpdddiWpVAqAK6+8iltv/Tr33nsnb3nLn5JIxAFO6RSZSCSorZ19fTzuHOOjH/3IjOtn+jw4x40jpeTlL3/RLPtNCDKv14vf75+yft++Pfzt397Mc5/7PN7ylrcTjdYghODGG/+UQuHMXQhTqRSx2PRzUlNTQyqVnLIsGAxOeexyuc74/JwxmgtNE2i2ScGSSCkXxRBjYCzLwe44uYJZjSrVRbwwXBZdlWhN+fsnraKTJsjUCBnllEVsCzvltIcQIedzpHn8kBqnlF/4JtFVQeaZEGSVdEVD1zAWwFmzubOT9PG9+EpjPHlwiEzB5Hl1CyfKMrkSuizhcukIw70o51mhUCgUS4MSZEuIEIKrtzUvWsqiYWiYp0ljWsiUxZ6ebg4ePMBnP/t/eO5zn19dPjmiM5mTn7euro5Dhw5M2258fGzKjXc4HOHKK6/iNa953bRtT75BXwgKhQJ/+MP93HTTh7nhhjdUl1d7LZ2GcDjC2rXr+bu/+9hpt53pXPz617/iqquuKRtEOOf0+PFjc38Bk8Z77713Y9s2b3rTa6etv+ceR5BFIlGAU/ZTi0QiHDlyeNb1lXquD3/4r7nggq3T1s8m9sLhCEII/u3fvoXLNV1cd3Ssqv4903v1u9/9hmAwyD/+4+eqqY0DA/3TtpsroVCY8fHxacvHxsYIhcLzPu6CoRuOIJMmUkpKpo17hn5aZ8u+42NVi/gKNSEvctCsjgOclEUAzCKy3INMGJMiZJqO8JSt7ysiyee8j7rHEWvmYgiyYvmY7onrw0S6or4g10AjVEdTQ4TegThuM03fiGfO14i5kMmV0O0ibrc24VqpUCgUivMCJciWGCEEhr44M52GrlXq6s8JFeE1OUo1MNDPM888TXt7x2n337RpC3fe+d/09fVW65v6+/s4cuTQlF5iO3dexrFjR1i/fuO0CNNkDMOgWDz7ZrmlUgnbtqcIhGw2w/33/27KdpX1J0didu68jAcffIC6uvp59ScrFPLTxMnJqY5z4emnn2RoaJB3vvM9XHTRxVPWPfzwg/zwh9/lyJHDrFmzloaGRu644xdce+2LZzzWzp2X86tf3cOePbtnFFyrVnXS0NBIX18vr33tn8x5jJdc4jjUJRKJKemAc6VQyGMYxpQb7JneK5fLNaeI2bZtF/H73/+Gm276UDVt8dFHHyKdTrFt20VnPL6FRuguNCEwNGfipWRNFWRSSmQugfCGEPO0SbelJJ0rIaSNtxR3lvlrcBkaxXJa4owpi+UeZJxkcCECsartPZpWjVoZZQdGaxEEGcWyOHRPuHtOGHoszM+g0DRC9U2sMySj8RTJfHjBesNZtk2uaBGwS7gMfYpRikKhUChWPkqQKRaMyk34Lbd8Bdu2yeWy3Hrr16mvn9nB7mRe/vI/4nvfu42//usP8653vQeA2277BjU1tdVoB8C73nUj737327j55j/nj//41dTU1DA2NsqTTz7B9u0X8eIXv6w8ntXcf//v2L59Bz6fj46OVfj9gRmfG+Do0cP8+tf3Tlnm8/m54ornsHnzFn7wg+8QjUbRdYMf/OA7BAJB4vGx6rbt7avQdZ3//u//Qtd1DENn06YtvOxlL+e//us/uemmG3njG99Ce3sH6XSaQ4cOUCqVptjEz8Sll17Of/zHT/jpT/+dzs5O7rjjv+np6ZnTezqZu+/+H3w+H294w1umRRLXrFnHv//7D7nnnjt573tv4gMf+As+8Ym/5+///q942ctejsvlZs+eZ9i0aQtXXfVcXvrS6/nZz/6Dv/7rv+Ad7/gz1qxZx/DwEE899SR/8zd/jxCCm276MJ/85N+Tz+e48sqr8fl8DAz08+CD9/Oe93xgSrSrQkfHKl7zmtfxqU/9L974xreyZctWTNOku7uLJ598jM9+9p9P+17dfvuP+eIXP88117yA3bt3cdddd0zbbtWq1dx55y+5//7fUVdXN6tYftvb3sn73vdO/vqvP8wNN7yesTHHZXHz5gu48sqrzvAMLALlyJS70ousZBOYpH/sRD/m4YfRG9dhtM/P3CZXMLFsSW2uiwuDowyMZYk2bgbWgFWJkDmCrCLMpFWcMNI4STxo/hj2WK+zzhtyzEkAo9wKwSosfE2tLOXKY5l4cyZHyBYK4fajCUGNH5JA73AatwZmyaIuOnurh9ORyTkRULcw0XWhImQKhUJxnqEEmWLBcLvdfPrTn+cLX/jffOxjf0tDQyNvf/s7eeKJx+ZktuHxePnCF77C//k/n+Uf//Fj1NU18Kd/+i7uvPO/CQQm6nPa2tr55je/yze/+TW+8IXPkcvlqK2tY/v2HVMMQG6++W/40pf+Dx/5yAcpFAqn7UN2553/zZ13/veUZa2tbfz7v/8/Pv7xT/P//X+f4dOf/gThcIQbbngDuVyWn/zkB9Vto9EoH/7wX/OjH32Pu+66A8uyuP/+x3C73Xz5y1/jttu+wfe+dxujoyNEIlE2bNjIq189Pe3yZP70T/+MeDzOt771dYSA5z3vcHmY9AAAO3hJREFUWj70oY/wN3/z4dPuW8E0TX7zm/u45prnz5jWGY1GufLKq7nnnju58cYPcO21L8Hj8fK9793Gxz/+97jdbjZu3MQ11zwfcM71v/zL1/jGN/6N73//2ySTSerrG6a4Ub7whS8iFAry3e/eVo1SNTU1c/nlz6GmpnbaGCp86EN/RUfHKv7rv/6T73znW/h8fjo6VvGCF1x72td55ZVX8773/Tk//ent3HHHL7jwwu18/vP/whvf+Jop2735zW+jt7ebT33q46TTqWofspPZtGkzX/jCV/j617/KP/zDX+P1+rj6aqcP2amis+eKSsTHixONKp3kqiqTIwDYiUGYpyBLZ50oWFjL4vMYrG4Oo3kcMSMrdWInRcjs8T7nsW4gTmqUPPmx8E7UWLnKhht2cTFSFssib4YImXeBImRANRpY6xccz8KuwyNkswVsW3LVhc3Uz1OUJbPO+xxwSQRT00AVCoVCsfIRciGT3BVYls3Y2HSXsFKpyOhoP7W1zbhc58Yday41ZMudZDLBn/zJK/mTP3kT73zne5Z6OEvO+XBOFRNUrgvr168jl7PO+NxaQ0cxu57mYNLLEddGLt3UQGv9xORF6eD92EmnFtB90csRxplfew73Jth9dJQLirvoiJR7YAVrcG14LsUn/mvKse3kEKWDD1T31RtWY3RcNOV40jIpPvVLkBK9dQtG80YAxoaG6L7/l+guD1v/6M0sFNIqUXzyl844d7yiKh4f2TdI30iGC9fWsrbl9G6pc8EaOY55/ElkuJFd1loSOZNcrohtSwI+Fy/Y0TonAxE74ZjeaBHHcfWhvQMMjGbZ5u6hVR9Fb9mM0bJpQcasmDuGoRGLBRgfz6jr8HmEOq/nJ8vlvNbUBNDncN1XETLFsuIHP/gONTW1NDU1Mzo6wo9//AMsy+blL//jpR6aQrHsqNRfuaUTAZoWIctNOEHKbBwRnlv68GTS2RJIiU8UgXIkzJpkaw8TLosn1Ytp9Wumj1k3EP4oMjOO5p8QQu5yOrE0i9hWCU1fGMfUirkIuqsqxlLZYrW+y3cWPchORhjO69esIldubaKERjqV48HdA2RyJXqG03Q2ndoMRtompSNO+wf39pdTsGBozEm5rAtqkJueBqpQKBSKlY0SZIplhaZpfPe7tzI8PIyu62zZspUvf/lr03pzKRSKSYLMKkDZZbGCNAvI0oSpjZ0ZR5uHIEvlimjSxKNPSqaYLMgMV7UOTPOFMTq2I/NpRDCG5ptZfBirdiAzY4hwY3WZx+tFCh1bWpi5LO7gwkStKDpiRhoeDvXECXhdPHFwGLMsXkP+BWyVURFKpTxCCBpjftxCsrYlwu5jo3QNpuloCCHEzC6hzr6FalNtWcrRO2pjS0lN2ItXtxyfJpWyqFAoFOcVSpAplhVvetPbeNOb3rbUw1AoVgZuPwgNXdg0JvdgJzcCUWBqdAxAZqbb98+FdK6EYeVxeye5N5ql6fVjZfSG6VGxk9H8EfBPFVwuQ8c2fOilNPlMasEEWSVCNp4X7Dk2YcITDXnYtqaWkH/hUsgrpiHSLEyxvG9rCLD3+BhjyTw/f+AYW9fUsq515tdXeV8BKOYZSTjirLnWD/FKbzclyBQKheJ84uy7YSoUCoViSRCahvD40TWBvziCt+ex6jqZcxp/C7cjEuzUMHJymuEcsKWkULQw7AKGriG85fo020KaE6mAC4Ur4Jh8jA2PnWbLuSPLEbJUceLnTtc1dm5soCbsnW23+VGJXNl2tTE2gNdt0FTjwVNKgJQc7U1UBVsmX6J3OI1dEXCTo5rFLGMp532uDXurEU9l6qFQKBTnF0qQKRQKxQpGuB1BBmDbshphkXknQqbVtDtuhpaJPdp9RsculZzojGHn0XWB8EWgkmpX7iV2coTsbIjV1gAwNrJwgoxyhCxpOgkhjTV+rtraRNC3gKmKZYQ20bR5croowIW+YS4SBwgWBskWTEYTeY4PJPn1E708un+Ipw+NlM/fxH65TIZC0ULTBGG/PilN9NwYQykUCoXi3LCiBdkDDzzAX/7lX/KiF72IjRs38o//+I9z3jeVSvHRj36Uyy67jB07dvDBD36QoaGhRRytQqFQLAK2c8MO/P/t3Xd4VFX++PH3vdMyKZNGCDVAQCJICUgRCShFBXQtLCg2BAVEBQS+uqBiYXWV5acCKkUQUddFRFTUlWJEpCiyKiwCgoUEQgklvU2f+/tjkglDEkkgySTx83qePE/m3jP3njMnczOfOed+Dk6XB1fx1ERPYQ4ASnCkbxqh+3QKVUmsa3cVp4ZXnN5066Zg34iYb3HnagwOomOiUVCwF+RRYK3aaF5FNIcVj6b5RsgS2zWq/pGxs5RMJ/QlE8G7QLcuP52oMBMtgrwjdtv3ppO2+zsaZf0PRfNw5FQ+/9lxmNS0M5T0UH6uN6iOCDWh8xS/HoparaOSQgghAq9eB2Tbtm3j4MGD9OzZE4vljzNXnWvq1Kl88803PPPMM7z44oukpqYyfvx4XC5XDdVWCCGqn65Jewx676Xc6nDx88+paB43mjUXADUkAjWqBQCaLd8/O+J5OJzegMxUvM6ZYjSXLv5csl5YNQYHplALIWY9BreVX4/mVMsxNZcdu8ONUzEQZNRX60LQ5fHdR3Z2QGbL902djDFaCbOewOzIItpxglbBNro312HQq3g8GidOZXE6y/vaFuZ5p51GWUyl9+zpDRUnBBFCCFEv1eukHn/729+YOXMmADt37qz083bv3s327dtZvnw5SUlJALRp04Zhw4bxxRdfMGzYsBqprxBCVDc1ognhV9xMo19/JuPAjxRmncFVkA0ej3e0xhjs/QCvN4DLiea0VXo9MkfxlMUgioM4o/msETLveovVOWVRMYXQKNxM/qkCjpzKJ76ZhYjQi7tfKjc7jxOn8nFHmIgMNdZ8MFMyQmbNw12Uh+ZR0HJP+XaH6Jx0DTqBqkKwJRxFAX2EjhbxLTl6uoCjPx4ku8BOaLCB3Jw8CIfGkcHgqf4AWAghRN1Qr0fIVPXCqr9161YsFgt9+/b1bYuPj6dDhw5s3bq1uqonhBC1QtUZaNqiOTpVJciZR1F2BgBKSKQvAFEMZm/hs0Zuzqckjb4B78wBRWf0BXMlAVm13s9kNBNkMhBu1qO67Rw+mX9RhzuSnsfxk5kAuFUjjcLN1VHLP1QyQuZK/5XcH9bjOLgFT17pdHgFb6r9kCCD73Y8zV6IoijExYYRE+L9v3b0dAGKy0aUJYiY8CBwF8/eUGt2hE8IIUTtq9cB2YVKSUmhTZs2Zb4pjY+PJyUlJUC1EkKIC6cER2AwqOg8duwZx4u3RZbuL5lKVzx1rjLsxVMW9Urx+mY6Q+kIjce7r1pHyBRv1khLiBGD20pGTuXrei6PprE/5RSK5iEi1ETPzi2Jb1a1qe0XQo1oimIKRtEbUVDwFGTjyT9TvLP8YEqzFfh+bxqhR8H7v0nvcXBpSwuKoqAVB2SKWq8ntgghhCjHn/LKnpeXR1hYWJnt4eHh7Nu376KPr9eXjXM9ntqd818SayoKVOEe/iq7557bOXToNxYuXEbXrt2q/Pzly1+nV68r6Ny5aw3UzispqQcPPvgwd9xxd4VlJk2aQHBwMHPnzr+oc9Vke87Xp1Vtw8X2XXWpTP9Ut127fmDfvp8YPfpev+3Ll7/OqlXvkpy8rdbqQvGHb53uIr8f0xvRh4SjOLLw5J9BtQRhCI9GV3w98piDoUBB9djLvUaVx+3RUFUFo+pBVRX0JiMYjaCWXs90RmOlj1epc5pDCbEVEOSwkWd34XB5CA6q+r+qvEIHisuBTlVpGhtBcGw1LTR9PhExGLsNRadTUQ5/h2I/jurRUIJC0TfvgDPlB9TwWDwFmb5RL9VV5HsNzTo3rZqEYXe6MepVIpQsdLpQUNx4VAW1ml9vUXkl79GLfq+KOkX6tWGqb/1apwKy/Pz8SmU6bNmyJUZj3Uz7q6oKkZEhZbbbbDoyMlR0OqVW/5nW5B9iSsohDh36DYAvv9zI5ZdfXuVjrFixjNDQELp1q9mA4Hyvu6Io3ns5LrJvaqM9FfVpVdpQHX1XnWr7fbFnzy5WrvwX9947zm/7LbcMp1+//rVWF49H8WVItFgufjpdWOMmOPJzURQVc4iZiJZxKDrvZd6aG4m1IJ0gIwSXc40qj8GUhzlIR7CiI8hsJKJRBLYiC7aC0utvWHQ4hkoerzIKo6OwO7KJ1XQ4dUbsHmh+AcfPLHQSYtSwhJoIDbcQXo11rCxbZFNMOd7/aUFNW2Fudynu2Bh0oZF47EV4rPnk79uGqjgIjwgGIEevYYoMRlFUNM0DJ/cRGhWOJ8RAkdmI0RJCaADaIkpVx3tV1D3Srw1TfenXOhWQbdiwgVmzZp233Lp162jbtu0Fn8disXDy5Mky23NzcwkPv7hvUT0ejby8ojLbHQ47Ho8Ht1vDVXxfRk1SFO8Hd7fbU2MjZOvXr0NVVRITu/PVV8k8/PAj6PVV/5OqjdfkfOfQNA1No1rqUZ3tsdttmEzeqWbn69OqtKG6+q66VMdrdvZrdT4ej/cFPPecUVExREXF1Mp7FLztLqlLXp4Vt/vizusxWnC63BQU2bHrLeTk2aE4Q6LLDk6rA2d2NvbswkodLzunCHuRFbfmxmZzkpPnwGV147KWLnqsFbhQlcodrzKcDhWX1UEwdqxWB4fSsogMrtzfpqcwG8eh73FEt+NQXgjOokJ0ClhdKp5Ktrm66HQqwZFNsB/8Ac2j4dGFY88pAsyQawNUNE8INqsDcOBKO4Lz9+/QXN4EKob4y3Gm/AiA+/RpNE3DZXXgtLpx1nJbhJdOp2KxmKvlvSrqDunXhqmu9KvFYq7U4EidCshGjhzJyJEja/w88fHx7NixA03T/O4jS01NpX379hd9/PI+zLndNThvsBwlH9hrKhjTNI0vv9xI9+49GDnydmbMmMZ3331LUlJ/v3KHD6eydOkidu/+EYfDTosWcdx11z1cc80QkpJ6ALBo0QIWLVoAwCuvLKFp02aMHHkjzz47hwEDBvuOtWDBS2zb9jVr1nwGQEZGBkuXLmT37l1kZmbQuHFjBgwYzNix46t9BLUy56qoPd2790DTNN57710+/fRjTp1Kp1GjxowYcSu33Xan7xwl0+UWLFjMggUv8dtvvzBu3APcccfdLF78Kjt2bCc9/QQhIaF07dqNyZOn06hRoyq3pTr6DsDj8bB69Uo++2wtJ04cJyzMQpcuicyc+SShoaG+YyxZ8iq7d/+I2+2mW7fLmTr1UZo3b/GHdfz22+2sWLGMQ4d+JzjYzNVXD+Khh6ZiNnu/6dq16wemTJnI3LnzWbfuU/77350kJnZj7tz5rF//Hz799GMOH05F0zTatbuEBx+cQseOnXyv84oVy/z6LDGxO6+9trTcKYsnT6bz2mvz+P77nbjdbrp0SeShh6bStm07X5kRI/7ClVcm0apVG1aufIeCgny6d+/B3/42i8jI0vu4KugRANxuz0UHgkZLNJqmYXe4IaSR3/E8qsm78LDNilrJ81jtLnA5UXQKHnTeABKdL4gEcKGr9PEqw6MPwuPRCFYdeDwaOQX2Sr8u9p+3YbfaOHxwM2kxV2Fx2wky6/CoxloLss+mCwtHCY7EY7fhCY5GK1MHFU1vQnPYsP/+PZqjNNAloiVK41zcJ3/DZbOB4k2Lr6AGpC2iVHW8V0XdI/3aMNWXfq1TAVlt6d+/P4sWLWLHjh1ceeWVgDcY+/nnnxk3btx5ni0A9u7dQ3r6CcaMGUfv3n0IDw8nOXmD34f6o0fTmDhxLI0bxzJ16iNERUWTmnqIU6e8o5NLlqxg4sSxjBhxG4MHez/kt2nThry8vErVITc3B4slnMmTpxEWFsbRo2m8+eZSMjMzePzxp6u1vZU5V0XtAViw4EU++2wto0ffS8eOndi37ycWL34Vk8nEzTeP8J3H6XQye/Ysbr31Du6//yEsFu+IbXZ2FnffPZbY2FgyMzNZterfTJo0gXffXV3lka3q6DuAefP+H59++hG33noHPXv2pqiokG+/3Y7VWkRoaCjHjx9j4sR7iY9vy+OPP4OqKrzzzps8/PADrFz5YYVB8+bNX/L0048zbNhfuO+++8nMzGDJktfIz89j9uwX/MrOnfsPrr12KM8/P8KXdfXkyXSGDLme5s1b4HQ6+fLLjUyaNIG33nqPuLhW/OUvN3PmzGmSkzewYMESAEJCyp8CVlRUyOTJ96MoCo888hhGo4l33nmThx4az9tvv0dsbBNf2e3bt3Ls2FGmT59Bbm4Or7zyMvPnzy1T55oUHOEN/pxuD57QGPxSSBiLp21UIamHw+lGp7nQqUpp8g69fxKP6kzqAaAYvVP3THiDk0KrE4/L4Z2S+wfn0mwF4HZSYHWioYGmofM4CDLqfIs11zZFUTB2uAqXy42iVDDVOMiC5rD5JVtRzN7kI4q+OIW+y17adknqIYQQDU69vrIfP36cvXv3AmC1WklLS2PDhg0ADBkyxFeuY8eO3HzzzTz//PMAdOvWjaSkJB5//HFmzJiByWRi3rx5JCQkcO2119ZqGzRN82Urq/ZjKyra+YZpVd0FrcuTnLwRo9HEVVcNRK/Xc/XVg9i4cR1FRUUEB3s/UL355lL0egOLFy8nJMQ7YtKzZ2/fMTp16gxA48ZNfL8DlQ7I2rZtx6RJU32PO3fuSlCQmX/842mmT59BUFDlpq9V17kqas/x48f48MPVPPLIY9x003DA+zrYbDZWrFjGjTcO9wUTLpeLCRMeZNAg/7/DkqBPr1ex25106tSFW24Zxq5dP9Cr1xVVakt19F1a2hHWrl3DhAkPcvfdY33br756kO/3FSuWYbFYmDdvISaT94Nlp05dufXWm/jPfz5h+PCyo+GaprFw4QIGDryGmTOf9G2Pjm7Eo48+zD33jCM+vnS6clJSfx58cIrfMcaOHe/73ePx0LNnbw4c2M/69f/h/vsfonHjWGJiGqOqql8/lefzzz/j5Ml0/vWv1bRu7Q2uu3Xrzl//egOrV7/H5MnT/MrPmfOyL9BMTz/Bv/61Ao/Hc8FLdFSVyaAno1EPXE47zd0mzh4/9WVZdNnRPB6UStTJ4fJ4AzKd4gvEFN05gXR1pr2nNCAzaA7QNDR7Iba9X6LXKRguG1xhUObOOAJAkd2bKMPoLqRZuB69TgVD9V0Lqsp7b2fFr7Wu2aW+tPhKcAS62HYo5uKkUyWvrdOOVpz8RdYhE0KIhqdeB2Q7d+7kscce8z3etm0b27Z5pxr98ssvvu1utxuPxz8wmT9/Pi+88AJPPfUULpeLpKQkZs2aVav30WiahvOXrWgFWTVyfJeq+E0tKo8aGo0+oV+VgjKXy8XmzV/Sp8+Vvqlp11wzhE8++YitWzczZMj1APz44/dcffUg3wf66qZpGh988B6ffvoxJ06cwOGw+/adOHGM+Ph2f/Ds2jvX9997Fy2/+uqBuFwu3/YePXrx73+/zenTp2jSpKlve58+SWWOsWPHN7z99nJSU1MoLCxNkX306JEqBWTV1Xe7dn2PpmnccMNNf9Du7xg06Fp0Op2v3WFhYbRvn8DBgz+X+5yjR49w8mQ6U6b8n99r1a1bd1RV5ZdfDvgFZOW9VocPp/L66wvZt+8nsrNL31tHjx6psK4V2bNnN/HxbX3BGIDFEk6PHr356af/+ZVNTOzuN+rXunU8LpeL7OwsoqOrPrX0QiiKQmSTpqSdyudERpH/ult6E6gqeDzgskFx4HMul9vDqSzvc50uDwbN7R0hKx6ZUUKjUEKjwF6EGtEEpbrXxTKYQFFRNQ+hehfhZ/bhMKjoTHo8mUfRNY4v8xS3x4M9LwtV07zTLIGkdmbMNiOe3NKRprpIDY1G37Y37hMH0Md1QQ2N9u0rGdnzjpAVv/6yDpkQQjQ49TogGz58OMOHDz9vubODsxJhYWE8//zzvlGzQFFQqN27yy7e999/R05ONn379ic/37twa3x8O6KjG5GcvNH3oT43N+eC7nGqrNWrV7Jw4QLuuGM03bv3ICwsjAMHfubll/+J4+x7MQJ8rtzcHDRN4/rrB5e7/9Sp0oAsKCjIN0pV4sCB/cycOZ1+/a5i9OixWCwRKIrC/fePwW6vWjurq+9yc3PR6XRERkZVWCYnJ4fVq99j9er3yuzT68v/lj8nJweAxx9/pNz9Z0+ZBIiK8j9/UVEh06dPIiIigsmTpxEb2xSTycicOc9d0N9Efn5+uW2MiooiNfWQ37aSALeEweBtY3X/LZ5P0+hg0k7lk55ZSOf4qNKFoRUFRR+E5ihCc9h8I1HnOnwyn30pmb7HqseFTlXPGiEzYLz0qhqrv6KoKMYgNHsRUVoWOnchTlcIZhO4z6SgxpRdQ/L7A6fR/36MIM2GVRdGiFaA2V2AVrwIthLAEbLK0EU2QxfZrOyOkkDS5Sj9XVev/20LIYQoh1zZA0hRFPQJ/WpsyqJeX4mbvy9gymJy8kYAnn9+NjDbb19OTjbZ2VlERkYRHh5BRkZGlY4N+EYZnE6X3/b8fP+pjJs3b6Jv3/5MnDjJt+3w4dQqn68yLuZcFks4iqKwaNEbvg/pZ4uLa+X7vby+2Lr1a0JDQ/n73+dgNOpxuTycPJl+Aa2ovr4LDw/H7Xb7ypfHYgmnT5++5U5NPDfoPPs5ANOm/Y3LLutUZn+jRjF+j899vfbt28vp06f45z/nccklpQl6vKOKjStsT0UsFgtpaWVH1rKysggLq/lFhi9E40gzep2K1e4iO99OlOWsYMRgAkcRmstW4fNz8u1+j80GzbsGXi1OlVOMwWj2IsK0AooAqy4Ei05Ds+ajWXNRgiN8ZbPz7ZzMLKCN24YbjYLgxjTWbGhF2WiO4nYG6B6yi3X2CBme4tFOCciEEKLBkSt7gCmKUmP/YBWdiqJVb2YZm83Gtm1b6NfvakaOHOW3Lysrk2eeeYJNm75gxIhR9OjRi6+/3sSDD04mOLj8pAl6vd5v+h9AZGQUer2eI0dKAx6n08n//rfLr5zdbisT4HzxxfqLaV6FKnuu8tpz+eU9Ae+o0rmZDCt7br1e7xd8XEg7q7PvunfviaIofP75p9x115hyz9ejRy9SUw9xySUJ6HSVm2bVqlVrGjeO5cSJ4/z1r7dWuY12u/cD+Nl9VZLEpE2b0qluBoOhUiNXXbok8vXXm0hLO0xcXGvAe4/jDz/8lxtvvKXK9asNOlWlSVQwx84UcOxMgV9AphiCvCPyTu/fqOZ24Ty4BcUchr51DxRVpcDqTbveKNxMbJSZWEcBZJ2p9uQdf6h49C7YnecNyAhCCdKjFWajOYrgrIDst2M56D12zCYdocFBhLZuT8zpM2hFucWNVlGCambadI0ruYfM4/ElY1EkqYcQQjQ4cmUXVbJt29dYrUWMHDmK7t17lNm/cuU7JCdvZMSIUYwdO55vv93GAw+M4847RxMd3YjDh1Ow2Wzceec9ALRq1Ybt27fStWs3zGYzcXGtCA4O4aqrBvDhh6tp0aIl4eERfPjh6jLLFPTs2ZsPPljFhx++T8uWrdi4cR3Hjh274LZlZmayefOXZbZfeWVSpc9VXnvi4loxfPhInnvuKW6//W46duyEy+Xi6NE0du/+gRdeeOkP69WzZ29Wr36PefPmMmDAQPbs2cPGjeuq3L5t26qv7+LiWnHTTX9l2bLF5OXl0aNHL2w2Gzt2bOfeeycQE9OY++67n3HjRjN9+mRuvPEWoqKiyMrKZPfuXXTtmuhLn382RVGYNGkas2c/gc1mpU+fJMxmMydPprNjx3YmTHjIb0TxXJdd1hmzOZiXX/4nd901hjNnTrN8+evExPiPjrVq1Qa3283q1e/RuXMXQkJCfAHX2a6//i+sXr2SRx+dyvjxD/iyLOp0Om699faqdkGtaRkbyrEzBaScyCOnwEGLmFDaNA0rHXEpnsqnWXPRrHlo1jxcLgdKaCPyi7xlEi9pRKjZgCstDTfU7giZqTjTouIdJS9w6c9KcFEaSB87U8CJjELMbitNooIJskRiaB2LMz/YNzqmmC31NohRVL33Czu3qzQLYz1tixBCiIrJlV1USXLyRmJjm9Ct2+Xl7h8y5AZeeeUljh8/RsuWcSxe/Cavv/4aL700B7fbTcuWcX4jKtOnz2DBghd55JEp2O1237pdU6f+jblz/8H8+f+P4OAQbr/9buLiWrFt29e+544ZM56cnBzeeON1wJvhb+rUR5gxwz/zXWX98ssBnnxyZpntH330eaXPVXF7HiUurhWffPIRb731BmZzMHFxrRgwYFCZ852rT58kHnhgMh9+uJp16z6jc+euzJ07n9tvP//9k2er/r77G82aNePTT9eyevVKwsPDSUzs7puO2KJFS5Yte5tlyxbz8stzsFqtREc3omvXbrRte0mF9Rw4cDBhYaG8/fabvpHAJk2a0rv3lURFRVf4PICoqGiefXYOCxfOZ+bM/6NlyzgeffRx/v3vt/3K9e3bj1tuGcm7775FdnYWXbt247XXlpY5XnBwCK+++jqvvvoyc+c+j8fjpnPnrixcuMwv5X1dExNhxmTQYXe6ycqz+X7CCxzoMgppGmlFT/FUuGKevDM4sk5htLXCERRNcJD334Pm9o6Y1W5A5h3RMhn1KCjk2hV+OlxALFYaN7WhA7LybOz+zTutNr6RDpNTh2IK8d4rFxyJ5vBO61VDzrcOXN2m6E1o7rOmb8uURSGEaHAUTauppYP/nNxuD1lZhWW2O50OMjPTiY5uisFQvWmiK1Kpe8hEvSJ92rCUXBcuuaQdVqu7Wvv2l7RsDhzJJibCTGauDY+mEWY9TqOC3/CENeHS/tdizD+O6/Aub8IOl5NCq5OfChuhNW7PgO7exbudv3+HJycdfatu6GJaV1v9/oinIAvnwS0A5BU52Odug2rPI6IoDSUmHlOrrvx+PBeny0NsZDCXW06jnT6Erskl6Ft0wpX+C+7j3kye+tbd0TWqeFS1puj1KpGRIWRnF15UvzoObvHLxGvscl2FCVlEzaquPhV1i/Rrw1RX+jUqKgSd7vzLzMhXbUII0QC1bxlBqyZhBBn1ZOba+OGX0xgJxmBVKbAWsX1vOvG6DEIL7IQ2a44pPIqCn/6LyZWPPvisL418I2S19+9CCSq9b9ESbKRvu9ZknjxJxoGj5OUVknIkG4AoSxA9OzRGS01FAxST93lqSCQlqZKUhjBCdvYGmbIohBANjlzZhRCiAVIUhSCj9xIfHR7ENT1bohUEU7T/MIczXZywOjlekEW4tYhCRx6e8FDC8m2YVI9vuiKUTlms1aQeOqN3imTxuQ3mEBrHRGLODOW0S8XQKIQmUcE0jwlBp6o4ShJeFI8cKSGR3vvlVH39TehRrMwaajJlUQghGhy5sgshxJ+AqihoRjNGvUp8jAljbAS6dAMul45sTUeu3YhFUQlSXDS1nLWcQCDuIVMUFL2h9P41gxlFb8Rs0tM60oSxQ6z/E4qzRpakt1d0BgwdBwIKinL+qSJ12tkp+1Vd/W+PEEKIMiQgE0KIP4viD/d6VaN981BcziCcahhWLQxDcAjxES0xOPIg5Wvc9EAX1fKspB61/O9CKV0qQVFVtJLAxOW/rISmaWgub+bFs0eT6vpi0JV19vRLma4ohBANk1zdhRDiT8KbRt07FVBz2dFcdnSqQpe2zdBFNsV9qhDX0b0AeHLSUYMjweX0ruVV24kkVP+160qCLc3p8F8Cw+2AkvUWz53e1wAoYY1KH5wTjAohhGgYZO6DEEL8ifjWIss9Bb6RJe90RF1sO/RtvMsiaPYiPHmnAVBDo1BqeYRMF93SW7egMO+GknXINE/pNErwjY6hN6CoDe9fWq3euyeEECIgZIRMCCH+RBRDEJqtwDcSBviNLPkCIIcVT94p77bwc+7ZqgVq43j0BhNqqHeESFF1vvT8msuO4lso2jtqVCb5RQOiRjTFk5Me6GoIIYSoIRKQCSHEn4jaOB5PfobfNl9wAygm79REzWlDyy0eIbM0rr0KltRDUdFFtfTfpjehuZzeIKw4cCxZ3LohB2T6Vt1weVyo0bW/npoQQoia1/DmdwghhKiQLrI5hg5Xn7PR6P97yf1bmgfFYEIxh9da/f5QceConX0v1TkZFhsixWDC0D7JN41TCCFEwyIBmRBC/MkoZov/47PuvVIUxS+BhxISVZpAI8B8o2DO0oCsNMOisbynCCGEEHWeBGTiotxzz+0kJfVgz57dVX7u8uWvs3fvnjLbk5J6sHLlv6qjekKIcijnZDAss990dkAWWdPVqTTFFAKA5igq3VgyWtaApywKIYRo2CQgExcsJeUQhw79BkBy8oYqP3/FimXs3ftTme1Llqzg2muHXnT9hBAV+6M09orR7PtdrYsBma3At813D1kDnrIohBCiYZOATFyw5OQNqKpK9+492Lz5S1wuV7Uct1OnzjRq1Oj8BYUQF0wX2xYAJTSqnJ2lqdaV4IhaqtH5KUGhAGj2wtKNThkhE0IIUb9JQCYuiKZpfPnlRrp378Ftt91Jbm4u3333rV+Zw4dTefzxRxk6dCCDBvXlnntu942kJSX1AGDRogUkJfUgKakHu3b94Nt37pTFtWs/5PbbhzNgQB9GjPgLb731Bh6Px7d/3brPSErqwa+/HuT//m8KgwcnMWrULaxf/5+afBmEqLfUxm3Rt+2FoW3vsjvPDsjq0L1ZvhEyeyGapnl/92VZrDv1FEIIIapC0t4HmKZpuDV3zRzco+I6K2gpj07RXdAN+3v37iE9/QRjxoyjd+8+hIeHk5y8gaSk/gAcPZrGxIljadw4lqlTHyEqKprU1EOcOnUS8E5LnDhxLCNG3MbgwUMAaNOmTbnnWrNmFfPnv8iIEbdx5ZX92Lt3DytWLKOgoIBJk6b6lf3735/kL3+5mVGj7uDTT9fy/POz6dDhMlq3Lv/YQvxZKYqCLrJ5uft0MW3QCjJRo+pYVj+jGRQVPG5w2tAMJjQZIRNCCFHPSUAWQJqmsSP9e7JtOTVyfFVV8Hi0PywTGRRJn6Y9qhyUJSdvxGg0cdVVA9Hr9Vx99SA2blxHUVERwcHBvPnmUvR6A4sXLyckxDvNqGfP0m/iO3XqDEDjxk18v5fH7Xbz1ltvMGjQtUyd+igAvXpdgcvlYtWqd7n77jGEh0f4yg8ffivDh48sPkdXduzYztdfb2LMmHFVap8Qf2aK3ojhkisDXY0yFEVFMQWj2QrQ7AV4Tv4GLgfo9H6JSIQQQoj6RKYsBlzdSCddFS6Xi82bv6RPnysJDfUGW9dcMwSbzcbWrZsB+PHH77n66kG+YOxCHTlymJycHAYOHOy3feDAa3A6nfz8836/7b16XeH73Ww206RJU86cOX1RdRBC1B0l0xY9OSdxnz4EgL51d5SzplkKIYQQ9YmMkAWQoij0adqjxqYs6vUqLlf1T1n8/vvvyMnJpm/f/uTn5wMQH9+O6OhGJCdvZMiQ68nNzamWxBwlx4+M9E88EBUVVbw/z297aGiY32O93oDD4bjoeggh6gbFFAqcwn3qdwDU8NgKp14KIYQQ9YEEZAGmKAp6pWa6Qa+qoP5xQHYhkpM3AvD887OB2X77cnKyyc7OIjw8goyMjIs+l8XiXcA2Ozvbb3tWVhYAYWGWMs8RQjRcSmgknDXorVoaB64yQgghRDWQgExUic1mY9u2LfTrdzUjR47y25eVlckzzzzBpk1f0KNHL77+ehMPPjiZ4OCQco+l1+txOOx/eL64uFZERESyefOXXHXVAN/2r75KxmAw0LHjZRffKCFEvaFGNAOdHtzeZTaU8NgA10gIIYS4OBKQiSrZtu1rrNYiRo4cRffuPcrsX7nyHZKTNzJr1my+/XYbDzwwjjvvHE10dCMOH07BZrNx5533ANCqVRu2b99K167dMJvNxMW1KhO86XQ6xoy5j/nzXyQyMoo+ffqyf/9eVq58h5Ejb/dL6CGEaPgUVYca2RxPxhHvY9PF3acqhBBCBJoEZKJKkpM3EhvbhG7dLi93/5AhN/DKKy+hqiqLF7/J66+/xksvzcHtdtOyZRx33TXGV3b69BksWPAijzwyBbvdziuvLCk3yBsxYhR6vZ5Vq1by8ccfEB3diLFjxzN69L011UwhRB2mb9EJl8eNGtnsgpbtEEIIIeoSRStZXVNUC7fbQ1ZWYZntTqeDzMx0oqObYjDUzgKmlUnqIeoX6dOGpeS6cMkl7bBa3dK3DYherxIZGUJ2dqH0awMhfdowSb82THWlX6OiQtDpzp/UXtLeCyGEEEIIIUSASEAmhBBCCCGEEAEiAZkQQgghhBBCBIgEZEIIIYQQQggRIBKQCSGEEEIIIUSASEBWyySppRCihFwPhBBCCCEBWS3R6XQAOBz2ANdECFFXlFwPDAZDgGsihBBCiECRhaFriarqMJtDKSjIBsBoNNX4gqYej4LbLd/ANyTSpw2Dpmk4HHYKCrIJCQnzfWEjhBBCiD8fCchqkcUSBeALymqaqqp4PLLIYUMifdqwmM2hREREB7oaQgghhAggCchqkaIohIdHExYWidvtqtFz6XQK4eHB5OYWyYhKAyF92rDodHpUVa3xkXIhhBBC1G0SkAWAqqqoqrFGz6HXqwQFBWG1unG5ZESlIZA+FUIIIYRoeCSphxBCCCGEEEIEiARkQgghhBBCCBEgEpAJIYQQQgghRIAomqxMWq00TcPjqRsvqU6n4nbLvUYNifRpwyT92jBJvzY80qcNk/Rrw1QX+lVVlUol75KATAghhBBCCCECRKYsCiGEEEIIIUSASEAmhBBCCCGEEAEiAZkQQgghhBBCBIgEZEIIIYQQQggRIBKQCSGEEEIIIUSASEAmhBBCCCGEEAEiAZkQQgghhBBCBIgEZEIIIYQQQggRIBKQCSGEEEIIIUSASEAmhBBCCCGEEAEiAZkQQgghhBBCBIgEZEIIIYQQQggRIBKQCSGEEEIIIUSASEDWwBw6dIixY8eSmJhI3759mTt3Lg6HI9DVEhU4cuQITz31FDfddBMdO3bkhhtuKLfcBx98wHXXXUfnzp258cYb2bx5c5ky+fn5PP744/Tq1Ytu3boxZcoUTp8+XdNNEOdYv349DzzwAP379ycxMZGbbrqJNWvWoGmaXznp0/pjy5Yt3HXXXVxxxRV06tSJQYMG8cILL5Cfn+9X7quvvuLGG2+kc+fOXHfddXz44YdljuVwOPjnP/9J3759SUxMZOzYsaSkpNRWU8QfKCwspH///iQkJLB3716/ffJ+rT8++ugjEhISyvy8+OKLfuWkT+ufjz/+mJtvvpnOnTvTu3dvxo0bh81m8+2vz9dgCcgakNzcXO655x6cTievvvoq06ZNY/Xq1cyZMyfQVRMV+O2339iyZQutWrWibdu25Zb5/PPPefLJJxk6dCjLli0jMTGRSZMm8b///c+v3NSpU/nmm2945plnePHFF0lNTWX8+PG4XK5aaIko8dZbb2E2m5k5cyaLFy+mf//+PPnkkyxcuNBXRvq0fsnJyaFLly7Mnj2b5cuXM3bsWNauXcvDDz/sK/PDDz8wadIkEhMTWbZsGUOHDuWJJ55gw4YNfsd67rnn+OCDD5g2bRqvvvoqDoeDMWPGlAnuRO1btGgRbre7zHZ5v9ZPb7zxBu+//77v58477/Ttkz6tfxYvXsyzzz7LsGHDWL58OX//+99p0aKF7z1b76/BmmgwlixZoiUmJmrZ2dm+batWrdI6dOignTx5MnAVExVyu92+32fMmKFdf/31Zcpce+212vTp0/223Xbbbdq4ceN8j3ft2qW1b99e27Ztm2/boUOHtISEBO3zzz+vgZqLimRmZpbZNmvWLK179+6+/pY+rf/ef/99rX379r5r67333qvddtttfmWmT5+uDR061Pc4PT1d69Chg7Zq1SrftuzsbC0xMVFbunRp7VRclOv333/XEhMTtffee09r37699tNPP/n2yfu1fvnwww+19u3bl3stLiF9Wr8cOnRI69ixo/b1119XWKa+X4NlhKwB2bp1K3369CEiIsK3bejQoXg8Hr755pvAVUxUSFX/+C149OhRDh8+zNChQ/22Dxs2jB07dvimo27duhWLxULfvn19ZeLj4+nQoQNbt26t/oqLCkVFRZXZ1qFDBwoKCigqKpI+bSBKrrNOpxOHw8HOnTsZMmSIX5lhw4Zx6NAhjh07BsD27dvxeDx+5SIiIujbt6/0aYA999xzjBo1ijZt2vhtl/drwyN9Wv989NFHtGjRgquuuqrc/Q3hGiwBWQOSkpJCfHy83zaLxUJMTEydmB8rqq6k3879kNC2bVucTidHjx71lWvTpg2KoviVi4+Pl76vA3788UdiY2MJDQ2VPq3H3G43drud/fv3s3DhQgYOHEiLFi1IS0vD6XSWuf6WTEMu6a+UlBSio6MJDw8vU076NHA2bNjAr7/+ykMPPVRmn7xf668bbriBDh06MGjQIF5//XXf1Dbp0/pnz549tG/fnkWLFtGnTx86derEqFGj2LNnD0CDuAbrA3p2Ua3y8vKwWCxltoeHh5ObmxuAGomLVdJv5/ZryeOS/Xl5eYSFhZV5fnh4OPv27avhWoo/8sMPP7Bu3TpmzJgBSJ/WZwMGDODUqVMA9OvXj5deegm4+D61WCxyjQ4Qq9XKnDlzmDZtGqGhoWX2y/u1/omJiWHy5Ml07doVRVH46quvmD9/PqdOneKpp56SPq2Hzpw5w759+/j11195+umnMZvNLFmyhHvvvZcvvviiQVyDJSATQogacvLkSaZNm0bv3r0ZPXp0oKsjLtLSpUuxWq38/vvvLF68mIkTJ7JixYpAV0tchMWLFxMdHc1f//rXQFdFVJN+/frRr18/3+OkpCRMJhNvv/02EydODGDNxIXSNI2ioiIWLFjApZdeCkDXrl0ZOHAg7777LklJSQGu4cWTKYsNiMViKTdLTG5ubpnhWVE/lPTbuf2al5fnt99isVBQUFDm+dL3gZOXl8f48eOJiIjg1Vdf9d0vKH1af1166aV069aNkSNHsmjRInbu3ElycvJF92leXp70aQAcP36cN998kylTppCfn09eXh5FRUUAFBUVUVhYKO/XBmLo0KG43W4OHDggfVoPWSwWIiIifMEYeO/96tixI7///nuDuAZLQNaAlDevOT8/nzNnzpSZVyvqh5J+O7dfU1JSMBgMtGzZ0lcuNTW1zFpXqamp0vcBYLPZuP/++8nPz+eNN97wmyIhfdowJCQkYDAYSEtLIy4uDoPBUG6fQmmfx8fHk5GRUWZqTHn3/4qad+zYMZxOJxMmTKBnz5707NnTN4IyevRoxo4dK+/XBkj6tP5p165dhfvsdnuDuAZLQNaA9O/fn2+//db3jQB4b1ZWVdUvS5CoP1q2bEnr1q3LrKOxbt06+vTpg9FoBLx9n5uby44dO3xlUlNT+fnnn+nfv3+t1vnPzuVyMXXqVFJSUnjjjTeIjY312y992jDs2bMHp9NJixYtMBqN9O7dm40bN/qVWbduHW3btqVFixaAd+qUqqp88cUXvjK5ubls375d+jQAOnTowDvvvOP389hjjwEwe/Zsnn76aXm/NhDr1q1Dp9PRsWNH6dN6aMCAAeTk5HDgwAHftuzsbPbv389ll13WIK7Bcg9ZAzJq1Cj+9a9/8dBDD3H//fdz6tQp5s6dy6hRo8p8KBR1g9VqZcuWLYB3+kxBQYHvn0SvXr2Iiopi8uTJPPLII8TFxdG7d2/WrVvHTz/9xLvvvus7Trdu3UhKSuLxxx9nxowZmEwm5s2bR0JCAtdee21A2vZnNXv2bDZv3szMmTMpKCjwW2i0Y8eOGI1G6dN6ZtKkSXTq1ImEhASCgoI4ePAgy5cvJyEhgcGDBwPwwAMPMHr0aJ555hmGDh3Kzp07+c9//sO8efN8x2nSpAkjRoxg7ty5qKpKbGwsr7/+OmFhYYwaNSpQzfvTslgs9O7du9x9l112GZdddhmAvF/rmfvuu4/evXuTkJAAwKZNm1i9ejWjR48mJiYGkD6tbwYPHkznzp2ZMmUK06ZNw2QysXTpUoxGI3fccQdQ/6/BinbuWKyo1w4dOsSzzz7L7t27CQkJ4aabbmLatGm+b3xE3XLs2DEGDRpU7r533nnH92Hhgw8+YNmyZZw4cYI2bdowffp0BgwY4Fc+Pz+fF154geTkZFwuF0lJScyaNUuC8Vo2cOBAjh8/Xu6+TZs2+b6pkz6tP5YuXcq6detIS0tD0zSaN2/ONddcw3333eeXmW/Tpk3Mnz+f1NRUmjVrxoQJExgxYoTfsRwOB/PmzeOTTz6hsLCQ7t27M2vWLF96ZhFYO3fuZPTo0axZs4bOnTv7tsv7tf547rnn2LZtGydPnsTj8dC6dWtGjhzJ3Xff7ZfCXvq0fsnKyuKFF15g8+bNOJ1OevTowWOPPeY3nbE+X4MlIBNCCCGEEEKIAJF7yIQQQgghhBAiQCQgE0IIIYQQQogAkYBMCCGEEEIIIQJEAjIhhBBCCCGECBAJyIQQQgghhBAiQCQgE0IIIYQQQogAkYBMCCGEEEIIIQJEAjIhhBBCCCGECBB9oCsghBBC1CW//PILCxcuZO/evWRkZBAREUG7du0YOHAgd999NwBLliyhXbt2DB48OMC1FUIIUd8pmqZpga6EEEIIURfs2rWL0aNH06xZM26++WZiYmJIT09nz549pKWlkZycDEC3bt247rrrmDNnToBrLIQQor6TETIhhBCi2JIlSwgLC2PNmjVYLBa/fZmZmQGqlRBCiIZM7iETQgghiqWlpdGuXbsywRhAdHQ0AAkJCRQVFfHxxx+TkJBAQkICM2fO9JU7deoUjz32GFdeeSWdOnXi+uuvZ82aNX7H2rlzJwkJCaxbt46XX36Zvn37kpiYyMSJE0lPT6/ZRgohhKhTZIRMCCGEKNa8eXN2797Nr7/+Svv27cstM3fuXGbNmkWXLl249dZbAYiLiwMgIyODW2+9FUVRuPPOO4mKimLr1q088cQTFBQUMGbMGL9jLV68GEVRGD9+PJmZmbz99tuMGTOGTz75hKCgoBptqxBCiLpB7iETQgghin3zzTeMHz8egC5dunD55ZfTp08fevfujcFg8JWr6B6yJ554gi1btvDZZ58RGRnp2z59+nS2bt3K9u3bCQoKYufOnYwePZrY2FjWrVtHaGgoAOvXr2fq1Kk88cQTjB49uhZaLIQQItBkyqIQQghRrG/fvqxatYqBAwdy8OBB3njjDe677z769+/Ppk2b/vC5mqbxxRdfMHDgQDRNIysry/eTlJREfn4++/fv93vOzTff7AvGAIYMGUJMTAxbtmypkfYJIYSoe2TKohBCCHGWLl268Nprr+FwODh48CBffvklb731Fg8//DBr166lXbt25T4vKyuLvLw83n//fd5///0Ky5ytVatWfo8VRaFVq1YcP368ehojhBCizpOATAghhCiH0WikS5cudOnShdatW/PYY4+xYcMGJk2aVG55j8cDwI033sgtt9xSbpmEhIQaq68QQoj6SQIyIYQQ4jw6deoEwOnTpyssExUVRUhICB6PhyuvvLJSxz1y5IjfY03TOHLkiARuQgjxJyL3kAkhhBDFvvvuO8rLdVVyT1d8fDwAwcHB5OXl+ZXR6XRcd911bNy4kV9//bXMMc6drgiwdu1aCgoKfI83bNjAmTNn6N+//0W1QwghRP0hWRaFEEKIYjfccANWq5VrrrmG+Ph4nE4nu3btYv369TRp0oS1a9disViYMGEC33//PVOmTKFx48a0aNGCrl27+tLeZ2VlMXLkSNq1a0dubi779+9nx44d/Pe//wXwZVls3749iqIwfPhwX9r7Jk2a8Mknn2A2mwP8agghhKgNEpAJIYQQxbZu3cqGDRvYvXs3J0+exOl00qxZM/r3788DDzzgWxw6JSWFp556ir1792Kz2bjlllt8KfAzMzNZuHAhX331FRkZGURERNCuXTuGDRvmW7esJCB7+eWX+eWXX1izZg2FhYVcccUVPP300zRr1ixgr4EQQojaJQGZEEIIUctKArIFCxYwZMiQQFdHCCFEAMk9ZEIIIYQQQggRIBKQCSGEEEIIIUSASEAmhBBCCCGEEAEi95AJIYQQQgghRIDICJkQQgghhBBCBIgEZEIIIYQQQggRIBKQCSGEEEIIIUSASEAmhBBCCCGEEAEiAZkQQgghhBBCBIgEZEIIIYQQQggRIBKQCSGEEEIIIUSASEAmhBBCCCGEEAEiAZkQQgghhBBCBMj/B4gFhlhr/F3YAAAAAElFTkSuQmCC", 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" ] @@ -100,10 +95,177 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'steer_lataccel_history' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[9], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m corr \u001b[38;5;241m=\u001b[39m signal\u001b[38;5;241m.\u001b[39mcorrelate(\u001b[43msteer_lataccel_history\u001b[49m \u001b[38;5;241m-\u001b[39m steer_lataccel_history\u001b[38;5;241m.\u001b[39mmean(), action_history \u001b[38;5;241m-\u001b[39m action_history\u001b[38;5;241m.\u001b[39mmean())\n\u001b[1;32m 2\u001b[0m lags \u001b[38;5;241m=\u001b[39m signal\u001b[38;5;241m.\u001b[39mcorrelation_lags(\u001b[38;5;28mlen\u001b[39m(steer_lataccel_history), \u001b[38;5;28mlen\u001b[39m(steer_lataccel_history))\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28mprint\u001b[39m(lags[np\u001b[38;5;241m.\u001b[39margmax(corr)])\n", + "\u001b[0;31mNameError\u001b[0m: name 'steer_lataccel_history' is not defined" + ] + } + ], + "source": [ + "corr = signal.correlate(steer_lataccel_history - steer_lataccel_history.mean(), action_history - action_history.mean())\n", + "lags = signal.correlation_lags(len(steer_lataccel_history), len(steer_lataccel_history))\n", + "print(lags[np.argmax(corr)])\n", + "plt.plot(lags, corr)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "lag: 7\n", + "lag: 7\n", + "alpha: 1.3876417762003095\n", + "beta: -0.16303740404018455\n", + "R^2: 0.8362933784489845\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def linear_lsq(x, y, lag):\n", + " length = len(x)\n", + " alpha = np.sum((y[lag:] - y[lag:].mean()) * (x[:length-lag] - x[:length-lag].mean())) / (np.sum((x[:length-lag] - x[:length-lag].mean()) ** 2) + 1e-8)\n", + " beta = y[lag:].mean() - alpha * x[:length-lag].mean()\n", + "\n", + " ssr = np.sum((alpha * x[:length-lag] + beta - y[lag:])**2)\n", + " sst = np.sum((y[lag:] - y[lag:].mean())**2) + 1e-8\n", + " r2 = 1 - ssr / sst\n", + "\n", + " return alpha, beta, r2\n", + "\n", + "roll_lataccel_history = [x[0] for x in sim.state_history][100:]\n", + "\n", + "steer_la = np.array(sim.current_lataccel_history)[100:] - np.array(roll_lataccel_history)\n", + "steerCommands = np.array(sim.action_history)[100:]\n", + "vEgo = np.array([x[1] for x in sim.state_history[100:]])\n", + "aEgo = np.array([x[2] for x in sim.state_history[100:]])\n", + "\n", + "length = len(steerCommands)\n", + "\n", + "\n", + "corr = signal.correlate(steer_la - steer_la.mean(), steerCommands - steerCommands.mean())\n", + "lags = signal.correlation_lags(length, length)\n", + "lag = lags[np.argmax(corr)]\n", + "print(f'lag: {lag}')\n", + "lag = max(0, lag)\n", + "\n", + "test_fit = np.array([linear_lsq(steerCommands, steer_la, x)[2] for x in range(lag, lag + 10)])\n", + "lag += np.argmax(test_fit)\n", + "\n", + "print(f'lag: {lag}')\n", + "\n", + "# lag=0\n", + "alpha = np.sum((steer_la[lag:] - steer_la[lag:].mean()) * (steerCommands[:length-lag] - steerCommands[:length-lag].mean())) / np.sum((steerCommands[:length-lag] - steerCommands[:length-lag].mean()) ** 2)\n", + "beta = steer_la[lag:].mean() - alpha * steerCommands[:length-lag].mean()\n", + "ssr = np.sum((alpha * steerCommands[:length-lag] + beta - steer_la[lag:])**2)\n", + "sst = np.sum((steer_la[lag:] - steer_la[lag:].mean())**2)\n", + "r2 = 1 - ssr / sst\n", + "print(f'alpha: {alpha}\\nbeta: {beta}\\nR^2: {r2}')\n", + "\n", + "plt.plot(steerCommands[:length-lag], steer_la[lag:], '.')\n", + "x = np.linspace(steerCommands.min(), steerCommands.max(), 2)\n", + "plt.plot(x, alpha * x + beta)\n", + "\n", + "plt.xlabel('steer command')\n", + "plt.ylabel('lataccel')\n", + "# plt.xlim(-2, 2)\n", + "# plt.ylim(-3, 3)\n", + "plt.show()\n", + "\n", + "\n", + "\n", + "# fig, ax = plt.subplots(2, 1, figsize=(7, 10))\n", + "# ax[0].scatter(action_history[:-lag], steer_lataccel_history[lag:], marker='.', linewidths=0.5)\n", + "# ax[1].scatter(action_history[:100], steer_lataccel_history[lag:100+lag], marker='.', linewidths=0.5)\n", + "\n", + "\n", + "\n", + "# plt.xlabel('steer command')\n", + "# plt.ylabel('actual lataccel')\n", + "# # plt.xlim(-2, 2)\n", + "# # plt.ylim(-3, 3)\n", + "# plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: steerLataccel R-squared: 0.778\n", + "Model: OLS Adj. R-squared: 0.778\n", + "Method: Least Squares F-statistic: 873.4\n", + "Date: Sat, 17 Aug 2024 Prob (F-statistic): 2.12e-163\n", + "Time: 00:12:21 Log-Likelihood: 110.22\n", + "No. Observations: 500 AIC: -214.4\n", + "Df Residuals: 497 BIC: -201.8\n", + "Df Model: 2 \n", + "Covariance Type: nonrobust \n", + "================================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "--------------------------------------------------------------------------------\n", + "Intercept -0.1538 0.011 -13.946 0.000 -0.175 -0.132\n", + "aEgo -0.1584 0.076 -2.091 0.037 -0.307 -0.010\n", + "steerCommand 1.3400 0.032 41.787 0.000 1.277 1.403\n", + "==============================================================================\n", + "Omnibus: 2.604 Durbin-Watson: 0.109\n", + "Prob(Omnibus): 0.272 Jarque-Bera (JB): 2.222\n", + "Skew: -0.052 Prob(JB): 0.329\n", + "Kurtosis: 2.690 Cond. No. 8.91\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" + ] + } + ], + "source": [ + "import statsmodels.api as sm\n", + "import statsmodels.formula.api as smf\n", + "import pandas\n", + "\n", + "states = {\n", + " # \"vEgo\": vEgo,\n", + " \"aEgo\": aEgo,\n", + " \"steerCommand\": steerCommands,\n", + " \"steerLataccel\": steer_la\n", + "}\n", + "\n", + "df = pandas.DataFrame.from_dict(states)\n", + "mod = smf.ols(formula='steerLataccel ~ aEgo + steerCommand', data=df)\n", + "res = mod.fit()\n", + "print(res.summary())" + ] } ], "metadata": { @@ -122,7 +284,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.12" + "version": "3.11.4" } }, "nbformat": 4, diff --git a/feedfoward.ipynb b/feedfoward.ipynb index fee3487f..35a2240a 100644 --- a/feedfoward.ipynb +++ b/feedfoward.ipynb @@ -2,14 +2,14 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/home/risak/controls_challenge/venv/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", + "/home/risa/Documents/MachineLearning/3.CommaAi/controls_challenge/venv/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", " from .autonotebook import tqdm as notebook_tqdm\n" ] } @@ -19,6 +19,7 @@ "from controllers import pid, pidf\n", "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", + "from pathlib import Path\n", "\n", "import pandas as pd\n", "import numpy as np\n", @@ -30,30 +31,299 @@ ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 3, "metadata": {}, + "outputs": [], "source": [ - "$a_{lat} = \\beta_0 + \\beta_1 * \\frac{v^2 * sin(\\gamma)}{L}$\n", + "def linear_lsq(x, y, lag):\n", + " length = len(x)\n", + " alpha = np.sum((y[lag:] - y[lag:].mean()) * (x[:100-lag] - x[:100-lag].mean())) / (np.sum((x[:100-lag] - x[:100-lag].mean()) ** 2) + 1e-8)\n", + " beta = y[lag:].mean() - alpha * x[:100-lag].mean()\n", "\n", - "steer_command $ = f_{steer}^{-1}(\\delta) = arcsin(\\frac{\\frac{a_{lat} - \\beta_0}{\\beta_1}\\cdot L}{v^2})$" + " ssr = np.sum((alpha * x[:100-lag] + beta - y[lag:])**2)\n", + " sst = np.sum((y[lag:] - y[lag:].mean())**2) + 1e-8\n", + " r2 = 1 - ssr / sst\n", + "\n", + " return alpha, beta, r2" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ - "datafile = \"data/00392.csv\"\n", + "lag_vals = []\n", + "r2s = []\n", + "fits = []\n", + "files = []\n", "\n", - "df = pd.read_csv(datafile)\n", + "data_dir = Path('./data/')\n", + "for f in data_dir.iterdir():\n", + " files.append(f)\n", + " df = pd.read_csv(str(f))\n", + " t = df[\"t\"].to_numpy()[:100]\n", + " vEgo = df[\"vEgo\"].to_numpy()[:100]\n", + " aEgo = df[\"aEgo\"].to_numpy()[:100]\n", + " roll_la = np.sin(df[\"roll\"].to_numpy()[:100]) * ACC_G\n", + " target_la = df[\"targetLateralAcceleration\"].to_numpy()[:100]\n", + " steerCommands = -df[\"steerCommand\"].to_numpy()[:100]\n", + " steer_la = target_la - roll_la\n", + "\n", + " corr = signal.correlate(steer_la - steer_la.mean(), steerCommands - steerCommands.mean())\n", + " lags = signal.correlation_lags(100, 100)\n", + " lag = np.clip(lags[np.argmax(corr)], 0, 90)\n", + "\n", + " test_fits = [linear_lsq(steerCommands, steer_la, x) for x in range(lag, lag + 10)]\n", + " lag_correction = np.argmax([x[2] for x in test_fits])\n", + " lag += lag_correction\n", + " \n", + " lag_vals.append(lag)\n", + " fits.append(np.array(test_fits[lag_correction][:2]))\n", + " r2s.append(test_fits[lag_correction][2])\n", + " # print(f'alpha: {alpha}\\nbeta: {beta}\\nR^2: {r2}')\n", + "\n", + " # plt.plot(steerCommands[:100-lag], steer_la[lag:], '.')\n", + " # x = np.linspace(-0.5, 0.5, 2)\n", + " # plt.plot(x, alpha * x + beta)\n", + "\n", + " # plt.xlabel('steer command')\n", + " # plt.ylabel('lataccel')\n", + " # # plt.xlim(-2, 2)\n", + " # # plt.ylim(-3, 3)\n", + " # plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "alpha = np.array(fits)[:, 0]\n", + "alpha = alpha[0 < alpha]\n", + "alpha = alpha[alpha < 3]\n", + "mu_alpha = alpha.mean()\n", + "\n", + "beta = np.array(fits)[:, 1]\n", + "beta = beta[-1 < beta]\n", + "beta = beta[beta < 1]\n", + "mu_beta = beta.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, 4, figsize=(25, 5))\n", + "plt.tight_layout()\n", + "\n", + "ax[0].hist(lag_vals, bins=10, range=(0, 10), align='left')\n", + "ax[0].set_xticks(range(11))\n", + "ax[0].set_title('lag')\n", + "\n", + "_, bins, _ = ax[1].hist(alpha, bins=20)\n", + "ax[1].axvline(mu_alpha, color='orange')\n", + "ax[1].set_xticks(bins)\n", + "ax[1].tick_params(axis='x', labelrotation=90)\n", + "ax[1].set_title('alpha')\n", + "\n", + "_, bins, _ = ax[2].hist(beta, bins=20)\n", + "ax[2].axvline(mu_beta, color='orange')\n", + "ax[2].set_xticks(bins)\n", + "ax[2].tick_params(axis='x', labelrotation=90)\n", + "ax[2].set_title('beta')\n", + "\n", + "ax[3].hist(r2s, bins=40)\n", + "ax[3].set_title('R^2')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "alpha: 1.6942529739501502, beta: 0.0028692845935240664\n" + ] + } + ], + "source": [ + "print(f'alpha: {mu_alpha}, beta: {mu_beta}')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1. , 0.9 , 0.81 , 0.729 , 0.6561 ,\n", + " 0.59049 , 0.531441 , 0.4782969 , 0.43046721])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.power(0.9, np.arange(10))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def lateral_objective(u, alpha, beta, w_x, w_u, plan):\n", + " x = alpha * u + beta\n", + " cost = np.sum(w_x * (plan - x) ** 2) + np.sum(w_u * np.diff(u) ** 2)\n", + " return cost\n", + "\n", + "def gradient(u, alpha, beta, w_x, w_u, plan):\n", + " d = 2 * alpha * w_x\n", + " d[:-1] += 2 * w_u\n", + " d[1:] += 2 * w_u\n", + "\n", + " A = np.diag(d) + np.diag(-2 * w_u, k=1) + np.diag(-2 * w_u, k=-1)\n", + " b = -2 * alpha * (plan - beta) * w_x\n", + "\n", + " return A@u + b\n", + "\n", + "def minimize(u, alpha, beta, w_x, w_u, plan):\n", + " d = 2 * alpha * w_x\n", + " d[:-1] += 2 * w_u\n", + " d[1:] += 2 * w_u\n", + "\n", + " A = np.diag(d) + np.diag(-2 * w_u, k=1) + np.diag(-2 * w_u, k=-1)\n", + " b = 2 * alpha * (plan - beta) * w_x\n", + "\n", + " return np.linalg.solve(A, b)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "lag: 0\n", + "lag: 1\n", + "alpha: 2.0058808955755025\n", + "beta: 0.021856217263193256\n", + "R^2: 0.9997542626613468\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = pd.read_csv('data/00000.csv')\n", "t = df[\"t\"].to_numpy()[:100]\n", "vEgo = df[\"vEgo\"].to_numpy()[:100]\n", "aEgo = df[\"aEgo\"].to_numpy()[:100]\n", "roll_la = np.sin(df[\"roll\"].to_numpy()[:100]) * ACC_G\n", "target_la = df[\"targetLateralAcceleration\"].to_numpy()[:100]\n", "steerCommands = -df[\"steerCommand\"].to_numpy()[:100]\n", - "steer_la = target_la - roll_la" + "steer_la = target_la - roll_la\n", + "\n", + "length = 100\n", + "corr = signal.correlate(steer_la - steer_la.mean(), steerCommands - steerCommands.mean())\n", + "lags = signal.correlation_lags(length, length)\n", + "lag = lags[np.argmax(corr)]\n", + "print(f'lag: {lag}')\n", + "\n", + "test_fit = np.array([linear_lsq(steerCommands, steer_la, x)[2] for x in range(lag, lag + 10)])\n", + "lag += np.argmax(test_fit)\n", + "\n", + "print(f'lag: {lag}')\n", + "\n", + "# lag=0\n", + "alpha = np.sum((steer_la[lag:] - steer_la[lag:].mean()) * (steerCommands[:100-lag] - steerCommands[:100-lag].mean())) / np.sum((steerCommands[:100-lag] - steerCommands[:100-lag].mean()) ** 2)\n", + "beta = steer_la[lag:].mean() - alpha * steerCommands[:100-lag].mean()\n", + "ssr = np.sum((alpha * steerCommands[:100-lag] + beta - steer_la[lag:])**2)\n", + "sst = np.sum((steer_la[lag:] - steer_la[lag:].mean())**2)\n", + "r2 = 1 - ssr / sst\n", + "print(f'alpha: {alpha}\\nbeta: {beta}\\nR^2: {r2}')\n", + "\n", + "plt.plot(steerCommands[:100-lag], steer_la[lag:], '.')\n", + "x = np.linspace(-0.5, 0.5, 2)\n", + "plt.plot(x, alpha * x + beta)\n", + "\n", + "plt.xlabel('steer command')\n", + "plt.ylabel('lataccel')\n", + "# plt.xlim(-2, 2)\n", + "# plt.ylim(-3, 3)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 616, + "metadata": {}, + "outputs": [], + "source": [ + "datafile = \"data/GENESIS_G80_2017/00000.csv\"\n", + "length = 600\n", + "df = pd.read_csv(datafile)\n", + "df = df[(df['latActive'])&(~df['steeringPressed'])]\n", + "t = df[\"t\"].to_numpy()[:length]\n", + "vEgo = df[\"vEgo\"].to_numpy()[:length]\n", + "aEgo = df[\"aEgo\"].to_numpy()[:length]\n", + "roll_la = np.sin(df[\"roll\"].to_numpy()[:length]) * ACC_G\n", + "la_steerAngle = df[\"latAccelSteeringAngle\"].to_numpy()[:length]\n", + "la_localizer = df[\"latAccelLocalizer\"].to_numpy()[:length]\n", + "steerCommands = df[\"steeringAngleDeg\"].to_numpy()[:length] * np.pi / 180\n", + "target_la = la_steerAngle" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dynamic model\n", + "$\\delta_{dyn} = L\\frac{a_{lat}}{V_{lon}^2} + \\beta_1(a_{lat} - a_{roll}) + \\beta_0$\n", + "\n", + "$L$: Vehicle length\n", + "\n", + "$\\beta_1$: Mass times understeer gradient\n", + "\n", + "$\\beta_0$: Unaccounted stuff\n", + "\n", + "Fit with linear least square" ] }, { @@ -63,7 +333,65 @@ "outputs": [ { "data": { - "image/png": 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", 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1KdiL/4M/dSQAno6T8HSchM65EUPtcjzZE9CMGVGuuJ3RJUK362H3iww2f0DpgR/Qo4st2lUJIYRoY2TkJ4J+kvMPchL2EjBmUzfkg6bg822B5H64u90hwecs6XveBkBJygrWbNoZ5WqEEEK0RRJ+IsiffSWejCupG/YRgeQ+0S4nNqUPp8GYj1nnwXj4LXzyTB4hhBDfIeEngjwdb8BR/G+CCTnRLiV2KQpazmQAzrctZkPpkSgXJIQQoq2R8CNijq/zDwmioyhpG9u3fBHtcoQQQrQxEn5EzNHM2Tit3wOgi+t16ht9Ua5ICCFEWyLhR8SmnJsAGJv6Keu2H4puLUIIIdoUCT8iJnkzLqORVNKNtdTv+Sja5QghhGhDJPyI2KQacaRdCUBm42L8AbnrSwghRIiEHxGzjN3GAzA4+Qt27K2NcjVCCCHaCgk/Imb508fg0RLpYKzmcOmyaJcjhBCijZDwI2KXaqI28XwAEmsWRbkYIYQQbYWEHxHT9F1Dl776mpZTWdsQ5WqEEEK0BRJ+RGzrOI6gppKbuJtdOzZEuxohhBBtgIQfEdM0YzpV+kEAKIfei3I1Qggh2gIJPyLm+bOvAKB78DPcXn+UqxFCCBFtEn5EzDN3D8376ZO0mZ1le6JcjRBCiGiT8CNiXtDSg2otD70SoGGPXPoSQoh4J+FHxAVn6qUAdKhfjKZpUa5GCCFENEn4EXHBkncNAP0sa9h/uCbK1QghhIimiISf0tJSbr75ZoqLiykpKWHWrFl4vd5THnffffdxySWXUFxczNChQ/nRj37EsmUtV+p1Op3MmDGDYcOGMXDgQO666y4qKyvDcSqivUobhjOYhkXXQNUuedCpEELEs7CHH7vdzuTJk/H5fMyePZvp06fz6quvMnPmzFMe6/P5uOmmm3jmmWeYNWsWKSkpTJkyhTVr1jTb7+6772b58uU89NBD/OlPf6K8vJzbb78dv1/u7BFHKSpVCRcAkFgtqz0LIUQ804f7DRYsWIDL5WLOnDmkpKQAEAgEePjhh5k6dSpZWVknPPapp55q9vXo0aO58MILeeeddxgyZAgAX3/9NcuWLePFF19k1KhRAOTm5nL55Zfz0Ucfcfnll4fnxES7o3W8Ena/Tg/9qmiXIoQQIorCPvKzdOlSRo4c2RR8AMaNG0cwGGT58uVn1JZOpyM5ORmfz9esfavVSklJSdO2vLw8evfuzdKlS8+5fhFDrL1Cf+ntUS5ECCFENIV95KesrIwJEyY022a1WsnIyKCsrOyUx2uaRiAQwOl08uabb7Jnzx4eeeSRZu3n5uaiKEqz4/Ly8k6r/ZPR688tG+p0arO/RXidqr/NFlvob9VNo6Kh0+kiVlssks93ZEl/R5b0d2RFur/DHn4cDgdWq7XFdpvNht1+6t/AX3/9de6//34AEhMTefLJJxk4cGCz9pOTk4/b/qZNm866blVVSE21nPXx32a1JrRKO+L0nKi/k8ydANApQRJMGpbk1vn3jXfy+Y4s6e/Ikv6OrEj1d9jDz7m68MIL6dWrF7W1tSxatIi7776bOXPmMGbMmLC+bzCo4XCc21PAdToVqzUBh6ORQCDYSpWJEzllf2sKqUf/s+rwQbz+Nv/xb9Pk8x1Z0t+RJf0dWa3V31ZrwmmNHoX9u7/VasXpdLbYbrfbsdlspzw+LS2NtLQ0IDTh2W6388c//rEp/FitVg4fPnzW7Z+M3986H/hAINhqbYlTO1l/NwYSSNA14m6wY5F/k1Yhn+/Ikv6OLOnvyIpUf4f94trx5t44nU6qqqrIy8s74/b69OnDnj3fPJ8pLy+P8vLyFqv2lpeXn1X7IrZ5NDMAfo8jypUIIYSIlrCHn9GjR7NixQocjm9+2CxatAhVVZvdoXW6vvrqK7p27dqsfbvdzsqVK5u2lZeXs2XLFkaPHn1uxYuY49ESAQhK+BFCiLgV9stekyZNYv78+UybNo2pU6dSUVHBrFmzmDRpUrM1fiZPnszBgwdZvHgxAJ999hlvv/02Y8eOpWPHjtjtdt577z2WLVvGn//856bjBg4cyKhRo5gxYwa//OUvMZlMPPnkkxQWFnLJJZeE+/REO3Ms/AS8LS/FCiGEiA9hDz82m4158+bx6KOPMm3aNCwWCxMnTmT69OnN9gsGgwQCgaavu3btitfr5YknnqC2tpbU1FQKCwuZP38+w4YNa3bsX/7yFx5//HEefPBB/H4/o0aN4v7770evlwmtojkfofCj+ST8CCFEvFI0ecT1cQUCQWpqXOfUhl6vkppqobbWJRPmIuB0+rt64aX0Mqzkq+Tf0W3EnRGuMLbI5zuypL8jS/o7slqrv9PSLG3jbi8h2pKAEhr5wS8jP7EmEAxSfshJbsdkdOrpTWesqmtkwcc7KT1gZ8LYfEb169hiwVQhROyR8CPiil9NOvof9dEtRLQqfyDI7Dc2UrZnD7ndu3Hntf0w6E+8grfPH2TR6j28t3IPvqO/Zf5j4TY2l9dw46WFJJoNkSpdCBEFsm63iCtBNTTyowYk/MSKoKYx9/3NnO9/jAXFP2akdxZPv7WxKdR81+byGh58cTVvfV5OF8MuHu/7R/49+A5KUlfyxdZKfjv3S3bur4vsSQghIkpGfkRcCeqSIABK8Nzmc4m2QdM0Xlm8nWGuB7k442MArsp6j2CFyrNv/x8/vaYf+qPX/w8ecfH6Z6Ws23WEruZ93F/wH4ZblzW19au8P7C47mqeKfsRM19ey6QLCrh4aNfjvq8Qon2T8CPiyrHwo5PwExPeW1ZKv+pfcmGHT9FQcXf6MQkH/8nVWf/Ff1jP3965hx9e1JP3Vu5h6bqDdDLt5Z6cNxibvgQFDQ0FT/YEgsZMEvc+w8Upb1NUvIMHNt/Nfz5RGNQzg3SbOdqnKYRoZRJ+RFxR9MngBb2En3bvkzV7yDlwDxd0+IwgOur7vYAnewJ+azHJ2+5hYvab+A4a+L9nfkBPy3Z+nfcGI1K+aDrek3kVrvwZBJKKAPCljSF501Q6+7cwp8+9zCy9h4+/6sr1F/SI1ikKIcJEwo+IK5o+NOFZr53bQ2tF9DS4fbz58dcMqn+YMemfE0SHs/9cvFnXAODuehuK5iVp+6/4Qaf/cF7qSron7AVAQ8Gb+X0acu/Dby1u1q43Yxy1Iz7HumEyiY61/CrvD0zb2Ivvl+SQYJJvlULEEpnwLOKKakgGwICM/LRHG3ZVsfi1R7lJmcCYtM8JoMfZ7x9NweeYxm4/pb7gMQC6J+xFUww0dvp/1J73JY4B/2oRfI4JJnSnbuiH+CxFJOrcjLF+wLKNh8J9WkKICJNfZ0RcUYyh8GOkMcqViDPhcvtY9smbDPfO5MLsUgAajPl4+/0FX9qY4x7TmHMXQWM6usbduDvfRNDc+fTeTDXRmHMXhs138P3Md/nVlxO5cFAXVFXW/xEiVkj4EXFF1xR+GpClzaMg6EfXsAM0/9ENCqCgGdIJmju22L2mzsmur16hY90CfmxdAwbwYKExfwa+nDtAPfl6PJ5OPzqrMj3ZE/HvfIR0DtJHv5ivdxYxuDDzrNoSQrQ9En5EXNEZrQCYlEbcUa4lXijeIxiPfETgwAck1n2CieOvrl0byKRSN4DGpKFg60fjnoX00t6l0FAHVghqClWpN6Ab8Ds0Y0Z4i1aNuLv/hKSdD3BN1jv85ctrJPwIEUMk/Ii4YjCHwo9ZbZDwE0aq+wCmirfQHXwTc/1XKN8aZ2sIJNAYSAA0FAUUNKx6B6m6SlJZDPWLoZ6m707OYCrVqdeRXDQVNakgYiN27s43kVj2B7on7MW2/1NKDxaQ38kWoXcXQoSThB8RV3SmUPgxqH60gAdFZ4pyRbFD8VZjOvw6psNvYrSvbPZaaUMuXzmGUGu5gKweY+iQYsFo0GE26jAZdOxx2XEdXIFau5oUz1qylJ1UKwVoubeS2vNaLKqBSD9aUjPYcHe5mcQ9s7km623+++U48sdL+BEiFkj4EXHFeHTkByDgdaJPkPBzrlTnJpLKnsF06D+omqdp+2Znbz6vHUVF4iUU9e7L0MJMkhJOMEfHaoaO1wChu7YCQErYKz+1xm4/IWHPswywbmTe1pUcsefTwZYQ7bKEEOdIwo+IKyaTGW/QgFH14Wu0o0/oEO2S2i191f9g7WxsFR83bdvlyuPTmrGsc4+hT+9+jB7biay0xChWeW6C5i54Ok7AfOg/jM96m4Urz+fGy3pFuywhxDmS8CPiiqoqNAYTQuHH40B+hz87hpqlJH91NQABTWVl3QjeqbiKQOowLjqvG1cWdGh6plZ719D9LsyH/sOo1OXM3/w1ewd2pltWcrTLEkKcAwk/Iu54ggmAA7/HEe1S2i3/3jcBWGsvZs7en2LLLODq7+fSu3sqihJb6+EEkvvhTfsexppPuS7rdf79v0J++cOBMXeeQsST2PjVTIgz4NFC4z0B7/FvuRanphz5HICvfN/npgmX8usfDaIoJy1mA4ErfwYAF3f4H8HqNXy5rTLKFQkhzoWEHxF3vITmoAS9MvJzNhRfDenaTgByB15Jv/z0mA09x/hThuPueAOqojG16/O89ukOPL5AtMsSQpwlCT8i7viOhh/NWx/lStonXc1yAPY1diE/vzDK1USOq8cjBHVJ9ErazgD9h3ywak+0SxJCnCUJPyLu+LAAoPnlstfZ8Bz4DIBtjX3plm09+c4xJGjuSEPeLwC4qcs/WfLlVo7UyTPihGiPJPyIuONXjt567ZPwczaMdaGRnxrTMHRx9rDPxm4/xZ/Yg1RDHRMyX2H+RzuoqGlA0+RJcUK0J3K3l4g7ATU08oPfFd1C2iHFZyfFvw0UUDLOj3Y5kacaqS/8AylfT+D7me/z0ZaL+fXfq7ElGSnsmkJht1SG984k0XzyB64KIaJLRn5E3AnoQuFHDcicnzOlr1uFqgQ56M6mS/f4me/zbb4OF+PJuBy9EuC+gufJSdyPvd7LF1srmf/hduYu3BbtEoUQpyAjPyLuaGoSaKAGZeTnTPkrlgCwxdWXvp3j9zlX9T1/j7H6Y/KNG5jd+2c0GHuwyTuGl7f0Ycc+PZqmxfwdcEK0ZzLyI+JO8OjIjy4oIz9nSj26vs8hdTAmgy7K1URPMDEP+8DX8aRfjKYYSPTuYhgv8lTRPVyX9gI1Ds+pGxFCRI2M/Ij4o08GP+iCDdGupH3x15Pi3QQKBNJGRbuaqPOljcGXNgbFZ8d4ZBGmQ69iql5MSeoKvj7sJN1mjnaJQogTkJEfEX8Moecy6TW57HUmDPbVqEqASk8GWV16R7ucNkMz2PB0vAFnvxcByDJVUnFY1gASoi2T8CPijqJPAsCIhJ8zoVSFLnltqu9DQZf4ne9zIpohBYeaA0Cwem10ixFCnFRELnuVlpby2GOP8fXXX2OxWBg/fjx33303RqPxhMdUVlby0ksvsXz5cvbu3UtycjJDhw7lnnvuoXPnzk37rV69mhtvvLHF8ZdffjlPPvlkWM5HtG+qMTTyY0AWqDsTWtVSAPYEBtIvyRTlatomT/JAsO8mqXG9THoWog0Le/ix2+1MnjyZnJwcZs+eTUVFBTNnzsTtdvPggw+e8LjNmzezePFiJkyYwIABA6itreXZZ5/luuuu47333iMtLa3Z/o8//jh5eXlNX6empobtnET7pppC4ceoNOCNci3tRqCRZPd6ADwpI6NcTNtl6DAU7G/R1bidWqeHNKvM+xGiLQp7+FmwYAEul4s5c+aQkpICQCAQ4OGHH2bq1KlkZWUd97jBgwfzwQcfoNd/U+KgQYMYO3Ysb7/9Nrfcckuz/QsKCujXr1/YzkPEDp0x9EgGk9Io4ec0GexfosNHtTeVDp36RrucNktLGwKlUJC4k68OOyX8CNFGhX3Oz9KlSxk5cmRT8AEYN24cwWCQ5cuXn/A4q9XaLPgAZGdnk5aWRmVlZbjKFXHAcDT8mFU3aMEoV9M+6KqPzffpS4+uMqp6Iv7kfgQ1lXRjLZWHSqNdjhDiBMI+8lNWVsaECROabbNarWRkZFBWVnZGbZWXl1NdXU1+fn6L16ZMmUJdXR0ZGRlcccUV/PznP8dsPrffuvT6c8uGOp3a7G8RXqfb3+aklKb/1iuNoVvfxckdne+z09Ofa7KSUBVFPt/Ho0/Goe9BSmAH1K5Brz+v1ZqW/o4s6e/IinR/hz38OBwOrNaWT3622WzY7fbTbkfTNB577DEyMzO54oormrYnJydz2223MXToUEwmE6tWrWLu3LmUlZXx3HPPnXXdqqqQmmo56+O/zWpNaJV2xOk5VX+reh0BTUWnBLEmBtBZWuffOWYFvARcobuXvKklpKclNXtZPt/N1aUPhcodJLs3tNr3kG+T/o4s6e/IilR/t5tFDmfPns2qVat44YUXSExMbNpeVFREUVFR09cjR44kMzOTRx55hA0bNtC/f/+zer9gUMPhOLdF8HQ6Fas1AYejkUBALq+E2+n2t9cXQBcwk6Rv4EjFYYypKZErsh3S1X2FFQ9OfxJJGX2prQ0tESCf7+NT0wZB5ct00W+nbG8Nqcmtc2ec9HdkSX9HVmv1t9WacFqjR2EPP1arFafT2WK73W7HZju9tUJeffVVnn76aX73u98xcuSp7zQZN24cjzzyCJs2bTrr8APg97fOBz4QCLZaW+LUTtXfCtAYTCCJBjyuOtRk+bc5GX31SgC2uQrJ75vSom/l892c3joYgALLLlbvq6O4Z0arti/9HVnS35EVqf4O+8W1vLy8FnN7nE4nVVVVzW5NP5HFixfz0EMPcddddzFx4sRwlSniiKIoeIKhodWA5/QvvcYr7cgqAHa4epGTLfOjTsWf3Ae/ZsCqd1J9SJ7wLkRbFPbwM3r0aFasWIHD4WjatmjRIlRVpaSk5KTHrl69mnvuuYfrrruOadOmnfZ7vv/++wBy67s4IY8WunQa8LYclRTNGexfAFBtKMYYxw8zPW2qCbu+Z+i/a9dEtxYhxHGF/bLXpEmTmD9/PtOmTWPq1KlUVFQwa9YsJk2a1GyNn8mTJ3Pw4EEWL14MhFaFnjZtGjk5OYwfP55169Y17ZuWlka3bt0AuO++++jevTtFRUVNE55feuklLrroIgk/4oS8HB35kfBzUqr7EAmBgwQ0FdKHRrucdsOXPAjqNpPs2RDtUoQQxxH28GOz2Zg3bx6PPvoo06ZNw2KxMHHiRKZPn95sv2AwSCAQaPp6/fr1OJ1OnE4nP/jBD5rte8011zBz5kwgtLjhu+++y9y5c/H5fHTu3Jk77riDKVOmhPvURDvmIzTyo/kk/JyM/uioz57GbnTJzY5yNe2HMXMY1M2nq2E7dfUeUuRxIEK0KRG52ys/P5+XXnrppPvMnz+/2dfXXnst11577Snbnjp1KlOnTj2X8kQc8hG6BVnCz8np61YDsM3Vi7yOLZesECeQNgSAHomlrDhkJ6UgM8oFCSG+TVZvEnHJrx4LP/VRrqSNOxK606vU3ZuO6bIe0ukKWArxamYSdY3UHdoU7XKEEN8h4UfEpYAS+kGuBCT8nFDQg7khNGfFlTgYVZUnlJ82VU+dvnfov2XSsxBtjoQfEZcCamjOjyrh54T0jvXo8GH3WbFm9o52Oe2O3zoIAKtMehaizZHwI+JSUBd6RIMacEW5krbr2C3u21yF5HY6vQVJxTdMWcMA6GrYjt3ljXI1Qohvk/Aj4pKmD4UfXVDCz4noao9Ndi4kr5NMdj5TytFJz3mJ5ZTtPxLlaoQQ3ybhR8QnCT+npB4NP/v8/Vrt+VTxJJCYj4ckTKqXrRtXRLscIcS3SPgR8UkfekyDXpPwczyqez8m/2ECmkowZRCKIpOdz5ii4rOGRn+yXIvYVynzy4RoKyT8iLikGEIjPwYaolxJ22SoC833KW/IoUunrFPsLU4kkHMLAJdnfsCnX2yPcjVCiGMk/Ii4pBpDc1iMEn6OS28PXfLaKosbnhNv5vdxG7tj1TtJrnyFWqcn2iUJIZDwI+KUaghd9jIqjVGupG1Sa0LhZ3t9ITkd5UnuZ03R4cu7C4CrMt/h0692R7ceIQQg4UfEKb0pNJphUhpA06JcTRsTcGOs3wjAEUMxFrMhygW1b+5OP8KrppJtqqCh9HXcXn+0SxIi7kn4EXFJZwqNZuiUIATdUa6mbdE716Hio9aXgjWjINrltH+6RLzdQw9avjL9DZatPxjlgoQQEn5EXDKav7mUo8hCh80cm+y8tb4XuR1lccPW4O42FT8mCiy72LNpIcGgjDYKEU0SfkRcMhmNuAOhtWsUvzzZ/duMRz4EYEt9EbmyuGGr0IwdcHf6IQAXJr3K2h1VUa5IiPgm4UfEJbNRR2MwAYCgT8LPMYq3CkPtcgC+cIygW2ZSlCuKHd6cO9FQGJqyhi9Wf4ajQR55IUS0SPgRcclo0NEYCIUfv9sR5WraDlPleygE2enqgSklH4NeF+2SYkbA0gNX2hUAnG/6F4++9CV7KyR4CxENEn5EXNLrVNxBMwB+j4SfY0yV7wCwonYkubK+T6vz5d8NwAXpnzHBNoeZ//qCL7dVRrUmIeKRhB8RtzxaIgABj/z2DaD4ajDULAVged1IinJSo1xR7PGnDKO+4FEAvp/5Pr/o9jte+u+XvLW0jKAsuSBExEj4EXHLy7E5PzLyA2Cs+gBF81PekEOVvzN9ctOiXVJMasz5Ofb+/0RTzQxNWcMfCn/Nyi+/5KWF2yQACREhEn5E3PJhASDolZEfAFPF2wCsqBtJ7+5pmI366BYUw7xZV1M3ZCFBYya5ibt5ovcvOLBrOf/6cDuaBCAhwk7Cj4hbPkKXvTS52wvFZ8dY/SkAy2vPY2BBhyhXFPv8tiHUDvsEf1If0gy1PFrwEKXbVvPv/+2UACREmEn4EXHLr1qO/ocscmg8sghF87KvsQv73F0Z0EPCTyQEE7pRN2QRPutAbAYHjxY8yJZNX/Lap6USgIQIIwk/Im4FlFD4UQIy8mOq/C8Qmuick51MarIpyhXFD81gwz7oLfxJfUg31vJYwYN89fVXvPV5ebRLEyJmSfgRcSugOxZ+4nzkx1+P8chiIHSLe7Fc8oo4zZBG3aB38Cf2INNUxWM9H2T5F2uprGuMdmlCxCQJPyJuBdXQ6sVqoD7KlUSXsXoxStDNIU825Y25FMslr6jQTJnYB79LwNydTuZDPFzwMHsPVUe7LCFikoQfEb/0oZEfXTC+R35MFaGFDZfXjiTdmkBXeaRF1ATNnakb/F/cWjK5iXvwVKyOdklCxCQJPyJuabrQk9318Rp+gl5Mh9/EdPRBpitqz6O4oAOKokS5sPgWTMyl2jgIAL1jQ5SrESI2yUIeIm4pBgv4Qa/FV/hR3Qcw7/8H5gPz0HkrANjjzmVnQw+ukvk+bULA2h+ql2D1bo52KULEJAk/In4ZrNAIBhrxR7uWCEnY/RSWXQ+haAEAAsYsDll/wIyPB5Jg0lPYNSW6BQoAzJlDoBo6G3bS4PaRaDZEuyQhYkpELnuVlpZy8803U1xcTElJCbNmzcLr9Z70mMrKSmbNmsX48eMZOHAgo0eP5t577+XAgQMt9q2oqODOO+9k4MCBDBs2jN/85jfU18f3JFZxaqohdNnLQHyM/Oicm5qCjzelBEe/l6g5fwvvOSbj8Nvol5eOXidXwtsCXXroslc38z72V9REuRohYk/YR37sdjuTJ08mJyeH2bNnU1FRwcyZM3G73Tz44IMnPG7z5s0sXryYCRMmMGDAAGpra3n22We57rrreO+990hLCz13yOfzcdtttwHwxBNP4Ha7+cMf/sC9997Lc889F+7TE+2YagyFH5PSSMzfUKxpJG+7F0UL4Mkcj2PA/KObNdbtPAIgt7i3IUFzNxqCySSqTpyH10P3S6JdkhAxJezhZ8GCBbhcLubMmUNKSgoAgUCAhx9+mKlTp5KVlXXc4wYPHswHH3yAXv9NiYMGDWLs2LG8/fbb3HLLLQB8+OGH7Ny5k4ULF5KXlweA1Wrl1ltvZcOGDfTv3z+8JyjaLb3JCoBB8ULQD2rsXgU2HVqAoW4lmppIfeHj+PxBvthawcdf7efAERc6VaFfXnq0yxTHKAq1ul4kal+i1X4NSPgRojWFfYx76dKljBw5sin4AIwbN45gMMjy5ctPeJzVam0WfACys7NJS0ujsrKyWfuFhYVNwQegpKSElJQUlixZ0nonImKO3pzc9N9KDK/1o/jqSNp5PwC13e7j9S+8/N8zy3nx/a3sPuxEr1OZMCYfi8wraVM8ln4AJDbKpGchWlvYf9UtKytjwoQJzbZZrVYyMjIoKys7o7bKy8uprq4mPz+/WfvfDj4AiqKQm5t7xu1/l15/btlQd3T+hE7mUUTEmfZ3YqIFX1CPQfWjpwFNnxbO8qImYcfvUb1VBCwF/G7VKHYc2A1AarKJCwd3YezAzlgtxjNuVz7f4WXMHAz1c8lStqGqivR3hEl/R1ak+zvs4cfhcGC1Wltst9ls2O32025H0zQee+wxMjMzueKKK5q1n5yc3GL/M23/u1RVITXVctbHf5vVmtAq7YjTc7r97Q5AYzABg+okxRIEW+v8e7cptetg798B2Jj6MDsONJBg0nHXDQMZ0bdjq0xwls93eFgLx0AZdDfvptrvJz09tPik9HdkSX9HVqT6u91Mcpg9ezarVq3ihRdeIDExMezvFwxqOBwN59SGTqditSbgcDQSCARbqTJxImfa3+5GD2rAjFXvxF5dQTDYLQJVnh3FewSdYyOqaxe6hl2orlJUvx1Plxvxdv4xHG9hQi1I8qqfoNeCuLOu5clPUwEPV4zMoU+3FJyOc5vmLZ/vMNO6YtFMJOjclG9dgzWhRPo7guTzHVmt1d9Wa8JpjR6FPfxYrVaczpZPzbbb7dhsttNq49VXX+Xpp5/md7/7HSNHjmzR/vFua7fb7XTs2PHsij7K72+dD3wgEGy1tsSpnW5/61WFxmDotwxvox2S2+C/kRbEvO/vJO18ECXobvGyvnYlhn3/or73kwSSeh09RsNY9T6JZTPROzeg6Sy84/gJNQ4XaVYTFw3u0qqfR/l8h4vCEXrQic14KtcQCIS+90l/R5b0d2RFqr/DHn7y8vJazL1xOp1UVVW1mKtzPIsXL+ahhx7irrvuYuLEicdtf8eOHc22aZpGeXk5JSUl51a8iGlGg47aQCj8+D2ONjcMqroPkbzlpxirPwYgkJCD39KLQGIPAon5qP5aEsv+hLFuOamrzqOx+8/xWYtJLP8jBmfosQhBXRKVeU/w2puh4DRhTD5Ggy5q5yTOjMvcDzybMdZvjHYpQsSUsH+/Hz16NH/729+azf1ZtGgRqqqeMpysXr2ae+65h+uuu45p06adsP3//ve/7N69m5ycHABWrlxJXV0dY8aMadVzEbFFVRQ8Wij8BDzONhV+jJXvkrzlTlRfDZpqpr7nY7i73N7i8pY7+waStv8fpqqFJO5+oml7UJdEY7c7aOw2jX99UoXHe5DcjskMLzr+0hKijUophooFpAW3RrsSIWJK2KdVT5o0CYvFwrRp01i2bBlvvPEGs2bNYtKkSc3W+Jk8eTIXX3xx09elpaVMmzaNnJwcxo8fz7p165r+7N27t2m/Sy+9lIKCAu68804+/fRTFi5cyIwZMxg7dqys8SNOyUto/ljQ2/LSbKvSNAh6UXx2OPpoiRPtZ9n+a2zrf4Tqq8GXPIDa4Z/j7jrluPN6ggldcRQvwD7g3wTMXQjqknDl3kfNqI009HiQfXYTS9cfBOCGCwpQ5aGl7UpSxyEAdDPuwtVw8lXxhRCnL+y/7NpsNubNm8ejjz7KtGnTsFgsTJw4kenTpzfbLxgMEgh880Nh/fr1OJ1OnE4nP/jBD5rte8011zBz5kwADAYDL7zwAo899hj33HMPer2eiy++mBkzZoT71EQMOBZ+NG9d6zTor8dgX4OhbhUG+yr0zk0oARcEGlEIXccOmDrj6P8S/pThzY/VNCw77ydx79NoKDTm3I0r/zegGmn0+DlQ5eJwTQOHaxqoqGmgweNn7MDODO2ViTfzSmo6XAaaH3TmpiZf/WQXmgaDCzPoKc/tanf0af0JaCpWvZOdB3fSpfOwaJckRExQNE3Tol1EWxQIBKmpObdnPun1KqmpFmprXTJhLgLOpr83vHETF1rfJIgRd/ef0JB7L5oh5YzeV+faibHyXUxV76F3fN300NCT0VQTzj7P4sn+Zh5b4q5HsZT/EQBn77/i7nITmqaxfONhXv7fDjze47c7vCiLH13ck6SEbxYpPFLXyFufl7Ny82F0qsLvbh9OZmrr3iUpn+/ICCwaSLaulM+T53D+96dJf0eIfL4jq7X6Oy3N0jbu9hKiLVvmvoE0ShloXU/inqcwH5yPK+9XuLvcCuqJVzxWG/diPjAPU+V76F3N52MEzF3wpYzAlzICv3UIQUMq6BLQVDOgkbz5J5iqFmLdeAuuhlIacn9BYvkfvwk+hbNwd7mJ+kYf//xwO2u2hVY0tyUZ6ZRuITs9kezUROrqPXz4xT5Wb6lg295abh7Xm5zsZN5buZvPvj6APxD6vebq83NbPfiIyLEbisgOlqKzr4t2KULEDAk/Iq416jvy4M6HmHFRFUO9T6B3bSd5+y9I2Pc89b1m4Uu/sPkBmob5wD+x7Pg16tFHYmiKHl/aGDyZV+FNv4hgQteTvqdjwMtYdjxA4t45WEp/h7FqEQbHVwDUFzyGu9sdbN1TywvvbaHW6UGnKlwzOo/LhnVDVZvP2RlcmMkL723hcE0Df3ltPUa9ivfob029u6cycWw+uR1bLjIq2o+AdQDUvUuyd0u0SxEiZkj4EXHNbNABCvvUUfQYMRHzwX9iKf0d+oadpKy9Bk/mVdT3/D3BhG4ongqSt/wM05EPAfDZhtPY9Va8HS477qUyTdNwNvpwewP4fAG8/iA+f5Cs1AQo/D0BSw+Stt3bFHxc+ffTmHMX76/czZtLytCArLREpl5VRE728QNMXicrD908lDeWlLF4zT68/iDds5OZODafPjmx+biOeGPKHAx1kK3uIBCUWQpCtAYJPyKumYyhNW/c3gCoetxdbsGTNYHEspkk7Psbpsr/YjyyGHfnH2M6/Ebo1nPFiKvHb2ns/lNQvlkzR9M0Kusa2b63ju17a9m+r44ah6fFe+p1CneM78ugnrcQSMghaccDuLMn0Jh7Dx99uY83loTWxRpT3IlJFxQ01XgiRoOOH1xUwIg+WTgbfPTLS0ORu7piRnLHIbADMoxHOHBwD4mWjGiXJES7J+FHxLVEU+h/gYWr9mAy6hhT3AmdwYar8HHcnf8fSdvuw1i7jIR9zwPgS+6Ps+/fCSQVNbWxv6qeVZsrWL2lgmpHy1WYjQYVo16H4eiDcmudHp55axO3XtGbkX0voHbkBQAs33iIBR/vBOCa0Xl8/7ycMzoXubwVmxSjjUp/ZzL1B6jZvYrEPt+PdklCtHsSfkRc+96gzmzbW8f+qnr+9dEOlqw7yA8vKqCwWyqBpCLsg9/HVPEmCXvm4E2/kIa8X4BqpL7Rx7INh1i5+TD7Kr95vIpep5DX0UrPbqn06pZCfmcbpm+tqBwIBnlp4TaWbzrMC+9twe0L8L2BnVm7o4p/LNwGwCVDu3LlyO4R7wvRdtWovcjkAN7KL0HCjxDnTMKPiGsd0y389uYhLFl3kLeWlrGvsp4//PtrRhRlccOFBdgsRjzZE/BkT2g6ZtueWp7772bsrtCiczpVoX9+OiP7ZNMvP71Z2Pkunapy8xW9MRv1fLx2P/M/3M7eCifLNx4iqGmM6teRGy7oIZetRDMeSz9o/BiDY220SxEiJsg6Pycg6/y0P+fa384GL28tLWPJuoNohC6JXX9BD87v3xFFUQhqGu+v3MPbn5ehadAxPZGLh3RlSK/MZmvsnA5N03hzaRnvr9zTtG1wzwzuuLoPOjXsC6+3Cvl8R45z/+fkbb2CgKbyVfcPyS0cfuqDxDmRz3dkRXqdHwk/JyDhp/1prf7efdjBvA+2s6ci9MiLnl1TmDAmj3eX72ZTeQ0AJf2y+fHFhaecjHwqx+7s6pObxp0T+jfNC2oP5PMdWc7/XUWe9hmbGweRdvnH6PXygNpwks93ZEn4aSMk/LQ/rdnfgWCQ/63Zz1ufl+H1fdOWUa/yo0t6cn7/TudabhNHg5fkBEO7u9Qln+/ICjhLSV8xFIPq57PEv9Kn5KZolxTT5PMdWZEOP+3n10whIkinqlw6rBuP3Tqcvnmh9XKy0xK5f/KQVg0+ANZEY7sLPiLyTKkF7EubAkCvut9jd4b5YbxCxDCZ8CzESXRISWD6dQM4UOUiKy0Bg1xqEFGUc+Hj2F/9D9nGwyxZ/jtsl82MdklCtEsy8iPEKSiKQpfMJAk+IupUk5Uj3R4AYBhzObBvR5QrEqJ9kvAjhBDtSFq/W9gf7EuCzo3v6xnItE0hzpyEHyGEaE8UlUC/PwEwNOEj9m5fFuWChGh/JPwIIUQ7k9jpPHb6RwCgHVkR5WqEaH8k/AghRDvkMuQBoGvcc4o9hRDfJeFHCCHaoUBC6PlvZt/+KFciRPsj4UcIIdohNSkXgCTtQJQrEaL9kfAjhBDtkNEWuuyVpjsU5UqEaH8k/AghRDuUlFEQ+ltXj6+xJsrVCNG+SPgRQoh2KCExBbvfCkD9kV1RrkaI9kXCjxBCtEOKolAbyAbAW1ca5WqEaF8k/AghRDvlVDoDEKjfHd1ChGhnJPwIIUQ71WjoCoDauDu6hQjRzkj4EUKIdipgDoUfs3dflCsRon2R8COEEO2V5dhaPwejXIgQ7YuEHyGEaKdMtnwAUtVDIE93F+K0SfgRQoh2ypIeCj9mtRHNWx3laoRoPyISfkpLS7n55pspLi6mpKSEWbNm4fV6T3ncyy+/zNSpUxkxYgSFhYUsWrSoxT6rV6+msLCwxZ/p06eH41SEEKLNsNms1HhTAWiskdvdhThd+nC/gd1uZ/LkyeTk5DB79mwqKiqYOXMmbrebBx988KTHvvPOOwCMGTOGt99++6T7Pv744+Tl5TV9nZqaes61CyFEW6ZTVaoDHUmjFk/dLhI7Do92SUK0C2EPPwsWLMDlcjFnzhxSUlIACAQCPPzww0ydOpWsrKyTHquqKvv37z9l+CkoKKBfv36tWLkQQrR9DjoBWwg4y6JdihDtRtgvey1dupSRI0c2BR+AcePGEQwGWb58+UmPVVWZkiSEECfTaOgCgNqwN8qVCNF+hH3kp6ysjAkTJjTbZrVaycjIoKys9X5TmTJlCnV1dWRkZHDFFVfw85//HLPZfE5t6vXnFr50OrXZ3yK8pL8jS/o7sk7U3wFzd/CDybfvnL9niW/I5zuyIt3fYQ8/DocDq9XaYrvNZsNut59z+8nJydx2220MHToUk8nEqlWrmDt3LmVlZTz33HNn3a6qKqSmWs65PgCrNaFV2hGnR/o7sqS/I+u7/W3u0BMOQ1LwQKt9zxLfkM93ZEWqv8MefsKtqKiIoqKipq9HjhxJZmYmjzzyCBs2bKB///5n1W4wqOFwNJxTbTqditWagMPRSCAQPKe2xKlJf0eW9Hdknai/taOrPFs5RG1NPShKtEqMKfL5jqzW6m+rNeG0Ro/CHn6sVitOp7PFdrvdjs1mC8t7jhs3jkceeYRNmzaddfgB8Ptb5wMfCARbrS1xatLfkSX9HVnf7W9zSg4BTcWoenE2HCJoyo5idbFHPt+RFan+DvvFtby8vBZze5xOJ1VVVc1uTRdCCHHm0qxJHPGmA+Czy1o/QpyOsIef0aNHs2LFChwOR9O2RYsWoaoqJSUlYXnP999/H0BufRdCxLwEk55qf2jJEHedhB8hTkfYL3tNmjSJ+fPnM23aNKZOnUpFRQWzZs1i0qRJzdb4mTx5MgcPHmTx4sVN2zZu3MiBAweoqakBYP369QCkpaUxbNgwAO677z66d+9OUVFR04Tnl156iYsuukjCjxAiLtjpDGwi4CiPdilCtAthDz82m4158+bx6KOPMm3aNCwWCxMnTmzx+IlgMEggEGi27eWXX+att95q+nru3LkADBs2jPnz5wOhxQ3fffdd5s6di8/no3Pnztxxxx1MmTIlzGcmhBBtQ4MutNaP0rA7uoUI0U4omiaPAj6eQCBITY3rnNrQ61VSUy3U1rpkwlwESH9HlvR3ZJ2sv9cu/jOX8hD7lWGYLvpflCqMLfL5jqzW6u+0NMtp3e0lqzcJIUR7l5gLgCVwIMqFCNE+SPgRQoh2Tm8NhR+rchi0wCn2FkJI+BFCiHbOktYNX1CPTgmgug9Guxwh2jwJP0II0c6l2yxUeTNCX7jkji8hTkXCjxBCtHNWi5FKb2jpEI+s9SPEKUn4EUKIdk5VFOx0BMAva/0IcUoSfoQQIga4VFnrR4jTJeFHCCFigM/cDQCDZ2+UKxGi7ZPwI4QQsSCxe+ivwP4oFyJE2yfhRwghYoBqLQTAqlSi+GqiXI0QbZuEHyGEiAHJqVkccHcCQG//KsrVCNG2SfgRQogY0MFqZoerAAB93ZooVyNE2ybhRwghYkBGSgKl7l4ABKtXR7kaIdo2CT9CCBEDVFXBYS4GwORcC5oW3YKEaMMk/AghRIwwpBfjDRowaXWojWXRLkeINkvCjxBCxIiu2WmUNeQBYLDLvB8hTkTCjxBCxIju2clsPzbpWcKPECck4UcIIWJEx/REytyh9X6o/iK6xQjRhkn4EUKIGKFTVeoTiwEwNWyCoCe6BQnRRkn4EUKIGJLcoRd2nxUdPvTOjdEuR4g2ScKPEELEkO7ZVnY0yLwfIU5Gwo8QQsSQnOxkdrh6AhJ+hDgRCT9CCBFDOnZIpPTopGe19ssoVyNE2yThRwghYohOVWlIHAiAyVOO4q2OckVCtD0SfoQQIsZkZnVi/9EnvBsc8oR3Ib5Lwo8QQsSYnCyZ9yPEyUj4EUKIGBNa6VnCjxAnIuFHCCFiTKcOFkobQ5OedXVfyRPehfgOCT9CCBFj9DqVQHIfvEED+kAtuobSaJckRJsSkfBTWlrKzTffTHFxMSUlJcyaNQuv13vK415++WWmTp3KiBEjKCwsZNGiRcfdr6KigjvvvJOBAwcybNgwfvOb31BfX9/apyGEEO1Gl+x0So8+4V3vkEtfQnxb2MOP3W5n8uTJ+Hw+Zs+ezfTp03n11VeZOXPmKY995513qK2tZcyYMSfcx+fzcdttt7F7926eeOIJHnroIZYtW8a9997bmqchhBDtSk52MtvqewGQsOdZec6XEN+iD/cbLFiwAJfLxZw5c0hJSQEgEAjw8MMPM3XqVLKysk56rKqq7N+/n7fffvu4+3z44Yfs3LmThQsXkpcX+i3HarVy6623smHDBvr379/apySEEG1e96xknq68kgs7fIrV+TVJ239Ffe8no12WEG1C2Ed+li5dysiRI5uCD8C4ceMIBoMsX778pMeq6qnLW7p0KYWFhU3BB6CkpISUlBSWLFly1nULIUR71jnDQl0wkyfK70ZDIWH/i5gOLYh2WUK0CWEPP2VlZc2CCYRGZjIyMigrKwtL+4qikJub2yrtCyFEe6TXqXTOSGKtYxC7rNMASN5yN7r6rVGuTIjoC/tlL4fDgdVqbbHdZrNht9tbpf3k5OSwtK/Xn1s21OnUZn+L8JL+jizp78g6m/7O62Rlz2Enrxy6nl9324Kh+hNsG36M47yloG/5fVN8Qz7fkRXp/g57+GmvVFUhNdXSKm1ZrQmt0o44PdLfkSX9HVln0t9Xnp/PknUH+XJbDZ8XzeKChvHoXDtJ3f5zGPWfMFYZO+TzHVmR6u+whx+r1YrT6Wyx3W63Y7PZWqX9493Wbrfb6dix41m3GwxqOBwN51IaOp2K1ZqAw9FIIBA8p7bEqUl/R5b0d2SdTX9nJBu5bmw+//lkF3P+e5Bu1z9H/o7xKHtfxb7/foKWvFM3Eqfk8x1ZrdXfVmvCaY0ehT385OXltZh743Q6qaqqajFX52zb37FjR7NtmqZRXl5OSUnJObXt97fOBz4QCLZaW+LUpL8jS/o7ss60vy8e2pUtu2vZWFbNrA/NPF3UA0PDdrT6MvymnPAVGiPk8x1ZkervsF9cGz16NCtWrMDhcDRtW7RoEaqqnnM4Odb+tm3b2L17d9O2lStXUldXd9L1gYQQIh6oisKtV/YmJcnIoeoG9tWnAqBzH4hyZUJET9jDz6RJk7BYLEybNo1ly5bxxhtvMGvWLCZNmtRsjZ/Jkydz8cUXNzt248aNLFq0iKVLlwKwfv16Fi1axBdffNG0z6WXXkpBQQF33nknn376KQsXLmTGjBmMHTtW1vgRQgjAmmhk6lV9UBTYWR2a6KxK+BFxLOyXvWw2G/PmzePRRx9l2rRpWCwWJk6cyPTp05vtFwwGCQQCzba9/PLLvPXWW01fz507F4Bhw4Yxf/58AAwGAy+88AKPPfYY99xzD3q9nosvvpgZM2aE+cyEEKL9KOyWytWjcjmyKx2AYMO+KFckRPQomiaP+z2eQCBITY3rnNrQ61VSUy3U1rrkmnEESH9HlvR3ZLVGfweDGu/867dM6fgX6pLG4hv531auMnbI5zuyWqu/09IspzXhWRYwEEKIOKGqCgFj6C5YnUcue4n4JeFHCCHiSMDcBQCT/1CUKxEieiT8CCFEHFESQ+HHqNWj+B2n2FuI2CThRwgh4oglOZV6fyIAqvtglKsRIjok/AghRBxJSTJxxNcBAFXm/Yg4JeFHCCHiSEqSiSPeUPiRhQ5FvJLwI4QQcSQlycgRb2itH9W9P8rVCBEdEn6EECKOpCR/M/JDo4z8iPgk4UcIIeJIoklPXSADAM0lqzyL+CThRwgh4oiiKLj12YBc9hLxS8KPEELEGZ+xMwAGnyx0KOKThB8hhIg3CaGFDg2aC8Vnj3IxQkSehB8hhIgzlqQUnP4kAFSPLHQo4o+EHyGEiDMpyXK7u4hvEn6EECLOfHuVZ1noUMQjCT9CCBFnvr3KszziQsQjCT9CCBFnmq/yLOFHxB8JP0IIEWe+PfKjNMhChyL+SPgRQog4k2DS49AyQ1+45W4vEX8k/AghRBzyGToBYPAcAE2LcjVCRJaEHyGEiENBcyj86LQGFL8sdCjii4QfIYSIQ5ZkGw5/MiCTnkX8kfAjhBBxKDTpOXTHl04WOhRxRsKPEELEoeZr/cikZxFfJPwIIUQcSkkyNq3yLI+4EPFGwo8QQsSh5pe9ZM6PiC8SfoQQIg6lJMsjLkT8kvAjhBBxKMVi/GaV50a57CXii4QfIYSIQ0aDDpeaBRyd8CwLHYo4EpHwU1pays0330xxcTElJSXMmjULr9d7yuM0TePvf/87Y8eOpX///txwww2sW7eu2T6rV6+msLCwxZ/p06eH6WyEECI2BE1HFzoMNqL4a6NcjRCRow/3G9jtdiZPnkxOTg6zZ8+moqKCmTNn4na7efDBB0967PPPP89f//pX7rvvPgoLC3n55Ze55ZZbeOedd+jatWuzfR9//HHy8vKavk5NTQ3L+QghRKywWJKx+6zYDA5U9wEChrRolyRERIQ9/CxYsACXy8WcOXNISUkBIBAI8PDDDzN16lSysrKOe5zH4+G5557jlltu4aabbgJg8ODBXHbZZbz44os89NBDzfYvKCigX79+YTwTIYSILSlJJo74OmAzONC5DxBIlu+hIj6E/bLX0qVLGTlyZFPwARg3bhzBYJDly5ef8Li1a9dSX1/PuHHjmrYZjUYuvvhili5dGs6ShRAiLoTu+Ard7i6PuBDxJOzhp6ysrNnlKACr1UpGRgZlZWUnPQ5ocWx+fj4HDx7E7XY32z5lyhR69+7N6NGj+cMf/tDidSGEEM01X+VZwo+IH2G/7OVwOLBarS2222w27PYTP0nY4XBgNBoxmUzNtlutVjRNw263YzabSU5O5rbbbmPo0KGYTCZWrVrF3LlzKSsr47nnnjun2vX6c8uGOp3a7G8RXtLfkSX9HVnh6O80m5lDvtDIj8G1BUOgCs2YCYrSau/RXsnnO7Ii3d9hDz/hVlRURFFRUdPXI0eOJDMzk0ceeYQNGzbQv3//s2pXVRVSUy2tUqPVmtAq7YjTI/0dWdLfkdWa/d2tk40NngwAjJULMX6yEIypYO0N6cNgwGOgb53vg+2VfL4jK1L9HfbwY7VacTqdLbbb7XZsNttJj/N6vXg8nmajPw6HA0VRTnrsuHHjeOSRR9i0adNZh59gUMPhaDirY4/R6VSs1gQcjkYCgeA5tSVOTfo7sqS/Iysc/a3TNL6wD+WzmrGc32UfakM5ircWjqyAIytwGXvj7fKjVnmv9kY+35HVWv1ttSac1uhR2MNPXl5ei7k9TqeTqqqqFvN5vnscQHl5Ob169WraXlZWRqdOnTCbzeEp+Fv8/tb5wAcCwVZrS5ya9HdkSX9HVmv2d5JZT2MwkSfK76bb90eRbAqia9iFpexxTJXvojg2xf2/rXy+IytS/R32i2ujR49mxYoVOByOpm2LFi1CVVVKSkpOeNygQYNISkrigw8+aNrm8/n46KOPGD169Enf8/333weQW9+FEOIk9DqV5EQDAHX1XtCZCST3xZt+IQC6+m3RLE+IsAn7yM+kSZOYP38+06ZNY+rUqVRUVDBr1iwmTZrUbI2fyZMnc/DgQRYvXgyAyWRi6tSpzJ49m7S0NHr27Mkrr7xCXV0dt956a9Nx9913H927d6eoqKhpwvNLL73ERRddJOFHCCFOISXJhLPBR129h66ZSQD4Lb0B0Lsk/IjYFPbwY7PZmDdvHo8++ijTpk3DYrEwceLEFo+fCAaDBAKBZttuv/12NE1j7ty51NTU0Lt3b1588cVmqzsXFBTw7rvvMnfuXHw+H507d+aOO+5gypQp4T41IYRo91KSTOyrrKfO6WnaFkgqBEDn3ofid6Lpk6NVnogFWhA0P2h+FC0Amh9Nlwxq9O65UjRNnmZ3PIFAkJoa1zm1oderpKZaqK11yTXjCJD+jizp78gKV3//Y+FWPt9wiGvOz+X7JblN29OWFKDzVlA77BP8tiGt9n7thXy+z0GgEYP9Cww1SzDWLEXvWIui+ZvvYupE7XlfNgXr1urvtDRL25jwLIQQou1KSQrdTVtX3/xh04GkXuhqKtC5tsdl+BFnRvHVYqp8F9PhNzDUrUAJek66v6ZLQFN0EaquJQk/QggRx1KSQ+Hni60VHK5pwJJgIMms54qEzvQC9PVbOfmPMRG3/PWYqhZiOvw6xuqPUTRf00sBU0d8aWPwpo7Gl3oemiENTdGDogNFf/RP9BbTlPAjhBBxLCc7dNnB5fazdU9t03ZzByu9uoNOJj2Lbwv6MFZ/jOnwq5gqF6IEv1kPz5/UF3f2BLyZV1FHN7burWPT+hpKD1TiDxzm25NsOqZbuHNCP/RRWkFbwo8QQsSx3I5WZk4dQUVtI/WNPuobfXyxtYK99tCNJXq53V0AauNeEvbMxnz4dVRfddN2f0IenuyJeLInctDXjZWbDrNhSTV7Du/jZBOK7S4vbm+ApAQJP0IIIaIgMzWRzNTEpq+DQY2FS0LhR+feC/560CdFqzwRRar7AInlf8J84J9Nl7WCxgzcWRPwdLweh7E/X2yrYsXKw+w6sKrZsV0yLPTJTaN391Qs5tB6UiigoNDBZiYpwRDp02ki4UcIIUQz2WmJOANW7IFUbLpa9K7t+G2Do12WCBPFW4X50KuAhqazoOmS0PRJGKo/IWH/P1C00GR4b9pYGrv/DHfK99iy18Gyzw6xdscK/EcfR6Eo0Cc3jWG9suiTm0Zqsukk7xpdEn6EEEI0k50WGgXa29CFfsm16FzbJPzEIk3DVPEmSdvuRfXVnHA3b0oJDfm/4YAyiGUbD7F84xfUfmtdqM4ZFkr6dmREn6ymuwfbOgk/QgghmumQYkanKuxu7Eq/5I3o67fJHV8xRvFWkbz1HkyV7wDgTyrCn9QHJeBC8dejBJxohnQaut9FpWEEb31ezvKNq5rm8VjMekYUZTOqf0e6ZSWhRPHOrbMh4UcIIUQzOlUlMzWBfY1H5/3IHV/tguo+gPHIh6ieQyg+O6rfjuK3owQaCRpS0PSpaIZUNNVIwr7nUH01aIqehtz7aMi9D1Rjs/YaPX4Wrd7Lh1+swnt04cG+uWmcP6ATxT06YNBHZ7Jya5DwI4QQooXstET2HuoGyB1fbZnauA9T5TuYKt7GYP/ijI71J/XD0ecZPi3P4MMX1wKQaNKTYNaTaNKzbW8dDldovk+PLjZu+F4P8jvbWv0cokHCjxBCiBay0hJZUXbsjq89EHCBzhLlquKD4ndirFqIzrUD1VuN6qtC9R5B8VWjBL0Q9IXuvAp6Uf11TcdpKPhThuNP6nt0pMcW+qOaUPx2VF8tiq8W1V+LP6k/NVm3Mu+jMr7YeuJwm5mawHVj8xnUM6PdXdo6GQk/QgghWshOS8QRsOIMppKs1qKv347fNijaZcWuY4sHHvoPpqqFKMHG0zpMQ8GXWoInczzezKsImjue1nHlhxz8bd46qurcqIrC+PNz6dnFhsvtp8Htp8HjJznBwNDemVFbiDCcJPwIIYRo4dgdX/vdXemdeOyOLwk/rUrT0DvXYTr475aLByb2wJc2hqAxk6CxA0FjBpohHU01gWpAUwygGAgaO6AZ0wGorG1gzbo91Djc1Df6cDX6qG/04/UHSDTrSTIbSEowoNMpLN94mEBQI91qZur4PvSIkctZp0vCjxBCiBay00Php6y+C70TN6B3yR1frUX1HMZ06FXMB19G79ratD1ozMCdPRFP9g34rQNP69lXDW4/X647wIpNh9m5335GdQzumcFNl/f6ZgHCOCLhRwghRAvJCQYSTXr2ursAoJNJz61C71hPyprLUAIuADTVhCfjCjydfog37QJQ9Wiaxu7DTvZX1eNweXG4fDgavNQ3ePEFNIJBjUAwSCCgcaimAd/RO7EUoCgnldxOVpLMhtBDahMMmAw6XG4/LrcPZ4MXl9tP96xkhvXOjKl5PGdCwo8QQogWFEUhOz2RvY6jd3zJ7e6tInHXIygBF/6kIhq7TsGTdS2aIQWABrePlZv389m6Axyocp12m506WCjpm82IPtltelXltkTCjxBCiOPKTktkU2Xoji+1Ue74Old6+5eYqhejKTrsA14mmJgPhCYff7r2AF9srWhaT8eoVynomoLNYsRqMWJNNJKcaMCgV9GpKjqdgl5VsCWZ6JJhidsRnLMl4UcIIcRxZaUlssJvw6WlYlFq0bt2hOainIDOuQkl6JFHYZxAYulMADwdJ+Ex5vDFxkN8snY/5YecTft07mBh7MDOjOyTRWIczsWJFAk/Qgghjqvj0Tu+Dnq7UWCqRVe/rWX40TQM1R+TuOcpjDVLAKgb+Ca+DhdFutw2TW9f0zTq886RG3j7fyuobww9JV2vUxjSK5PvDexMj842GcWJAAk/QgghjuvY7e5l9V0oMK1vfsdXoAFT5X9J3P1X9PWbmh2XvPkn1I5ciWbsENmC27DEstCoz27jVfxrRRAIkm41MXZgZ87v3wmrxXjyBkSrkvAjhBDiuDJTE1CAMldnSAd93ReY972A8cgijDVLUYJuADSdhcbON+HucgvW9T9C79pG8pY7cQz492ndrh3r9PY1mI58hKboeH7XVQB8/7wcrhqVg06NvQUE2wMJP0IIIY7LaNCRZjWz9+gDTo11yzHWLW96PWDuhrvLTTR2uRXNkAqAo98LpK6+AFPV+5gPvIS7y81Rqb0tOTbqc9ByNRsrU0kw6Rk3opsEnyiS8COEEOKEstMTKd2Tj1tJw6TV4U8ZjqfDZXgzLiNg6dViZCeQ3B9Xj9+StPM3JG3/Nb7UUQQsBSdsX/HVYdnxG4KJuaEni8eYb4/6zN9zDQBjijthNsqP32iS3hdCCHFC2WmJbC5P5J/Kf7l2TLemNWlOprH7NIzVizHWfEbyxtuoG7YY1JZzWtTG3di+vg69azsAnszxJw1K7VFi2R8AqE6ZwPI1SaiKwkWDu0S5KiFjbkIIIU7o2KTnfbWcVvABQFFx9vkbQX0KBufXWDdMRu9Y32wXfd1qUldf0BR8AMz7nm+tstsEnWsHpiMfoqHw+uHrABjSK4M0qznKlQkJP0IIIU7oWPg5XNNwRscFzZ1wFs1BQ8FU9T6pq8/HtuZyjJXvYzr0GilfXYnqO4IveQCOomcAMB/6N4rfeYqW24+Efc8B4Eq9jEVbQiNflwztFs2SxFESfoQQQpzQsfBTVdeIPxA86b6BYBC319/0tTfrKuqGfYo7eyKaosNYuwzb+h9g3XQrStCDp8M46oZ8gKfTD/En9kD1OzAd+k9YzydSFJ8d08FXAPjUOZ5AUKOgi428TtYoVyZAwo8QQoiTSLWaMOpVAkGNarv7hPt9tb2K+55Zwf89s4JD1d88l8pvG4Sz31xqRm2iIWc6QX0KAA3dfoqj+N+gTwJFxd31dgAS9v0dNC2s5xQJ5kMvowbq8SX24uX1nQEZ9WlLJPwIIYQ4IVVRyDo6+nPoOJe+ap0enn5zI0+/tRF7feiJ4S+8t5VAsPkoUdDcGVfBw1SP3krNeV/hKpwJiq7pdXfHH6LpLOhd2zDUfh7ekwo3LYh5798B2KBcj8sdICPFzMACWfSxrZDwI4QQ4qSOhZ/D1d+En6CmsWTdAe5/YTVf7ahCpypcMrQrCSY95YccLFy55/iN6SzHvaNLM9hwd5wEHB39aceMRxajbywjqLcxd3PoOWcXDemKqsqCj21FRMJPaWkpN998M8XFxZSUlDBr1iy8Xu8pj9M0jb///e+MHTuW/v37c8MNN7Bu3boW+1VUVHDnnXcycOBAhg0bxm9+8xvq6+vDcCZCCBF/vj3p2ecPhELP86uZt2g7jR4/uR2TefCmoUy6sIAfX9ITgP8u382ew6eevKxpGss3HmJzeQ2NXacAYKx8D7VxX/hOKMwS9v0NgEPWG9hbrWEy6BjVr2OUqxLfFvbwY7fbmTx5Mj6fj9mzZzN9+nReffVVZs6cecpjn3/+ef76179y00038dxzz5GRkcEtt9zCvn3f/E/h8/m47bbb2L17N0888QQPPfQQy5Yt49577w3naQkhRNw49oDT9aVH+L9nVjBv0XYO1zSQYNIz6YIe/Ob/DaFrZhIAI4qyGFKYQSCo8fx7W/D5Aydt+82lZbz4/laeen0Ddl0PvGljUAhiPvCPsJ9XOOhcOzFWf4yGwrsVlwGh29sTTLKsXlsS9n+NBQsW4HK5mDNnDikpKQAEAgEefvhhpk6dSlZW1nGP83g8PPfcc9xyyy3cdNNNAAwePJjLLruMF198kYceegiADz/8kJ07d7Jw4ULy8vIAsFqt3HrrrWzYsIH+/fuH+xSFECKmHbvsZa8PjdinWU1cMqQr5w/o1OKHuqIo/L9LC9mx387BIy7eXFrGDRccf+HChav28P7Ry2P+QJBVmw9zebcpGGuWkLD/HzTk/gJ07WtNnGO3t7vTL+N/nxmAgIz6tEFhH/lZunQpI0eObAo+AOPGjSMYDLJ8+fITHrd27Vrq6+sZN25c0zaj0cjFF1/M0qVLm7VfWFjYFHwASkpKSElJYcmSJa17MkIIEYe6ZSXRJyeVvE5Wpny/iJlTR3LJsG4nHM1ITjRy02W9APjoi318vaMK7Tt3cH2ydj+vf1YKQH7n0O3fn284hCf9MgLmLqi+akwVb4XxrM6d6j6Evu4L9I6v0Tk3oXNuxHTw3wCsDV6PxxsgMzWBnl1ToluoaCHsIz9lZWVMmDCh2Tar1UpGRgZlZWUnPQ5oFmoA8vPzmTdvHm63G7PZTFlZWYt9FEUhNzf3pO2fDr3+3LKhTqc2+1uEl/R3ZEl/R1Y0+1uvV/nljwef0TFDemcyprgTS9YdZPabG+mYnsiY4s6U9MtmU1kN//poBwBXleRw6fBu/Pypz9lXWc/+Gg/JXW8mYeejJFS8TqDbj8JxSqd0qv5WG8qxrhiJEmg5vzRgKeTtHTmAndEDOmEw6FrsI5qL9Oc77OHH4XBgtbZc1Mlms2G32096nNFoxGQyNdtutVrRNA273Y7ZbMbhcJCcnHzG7Z+KqiqkplrO+vhvs1oTWqUdcXqkvyNL+juy2lN/T7t+IGazgc/W7udQdQMLPt7Ja5/uahoF+v75edw2vi+KojCyXyc+X3eAVVsrGXTRD2HnoxhqPiM1KQCG6C0MeML+Xv9rCNSDIQUMSRD0hf6oeuw9fsu2pXYUBa44P5/UlPbzbxZtkfp8ywysEwgGNRyOM1vO/bt0OhWrNQGHo5HAKVZGFedO+juypL8jq732948uKuDa83NZtbmCpesPUHrAAcD5AzoyYXQudXWh77MjizL5fN0Blny1nwnnn08HSwE6107qd7yJr9N1Ea/7ZP1tqFhI0sH30BQDjhEfE0wqbPb6G5+VAuX0zU1HpwWprXUhTq61Pt9Wa8JpjR6FPfxYrVaczpa3O9rtdmw220mP83q9eDyeZqM/DocDRVGajrVarce9rd1ut9Ox47lNMvP7W+cbTCAQbLW2xKlJf0eW9Hdktcf+NuhUzu/fkfP7d2R/VT0VNY0MLOhAMKARJDQK1LNrCulWM9UON6s3V3BRxvdJdP0Z/eF3acyccIp3CJ8W/R1oxLrl/wBo7H4nXnMBfOv1YFBj2YaDAJT0y253/1bRFqnPd9gvruXl5bWYe+N0OqmqqmoxV+e7xwGUl5c3215WVkanTp0wm80nbF/TNMrLy0/avhBCiMjrkpHE4MKMFgv+qYrCqP6hX1g/33AQT+YVQGjBQIKeiNd5Iom7/4zOvYeAuQuuvP9r8fqWPTXUODxYzHpZ0bkNC3v4GT16NCtWrMDhcDRtW7RoEaqqUlJScsLjBg0aRFJSEh988EHTNp/Px0cffcTo0aObtb9t2zZ2797dtG3lypXU1dUxZsyY1j0ZIYQQYTOqX0cUYNveOg4GehMwdUQNODHWtI07d9WGUhJ3/wWA+p6Pg67lvNBlGw4BMLwoC4NeJjq3VWEPP5MmTcJisTBt2jSWLVvGG2+8waxZs5g0aVKzNX4mT57MxRdf3PS1yWRi6tSpzJ07l3nz5rFy5Uruvfde6urquPXWW5v2u/TSSykoKODOO+/k008/ZeHChcyYMaNpVWghhBDtQ7rNTFFuGgCfb6zAm3E5EFrx+bQEXOicG8LzYFRNI2nbL1CCHrzpF+DNvIpgUKPB7cPl9lHf6KOqrpG1O44AcH7/Tq1fg2g1YZ/zY7PZmDdvHo8++ijTpk3DYrEwceJEpk+f3my/YDBIINB8JdDbb78dTdOYO3cuNTU19O7dmxdffJGuXbs27WMwGHjhhRd47LHHuOeee9Dr9Vx88cXMmDEj3KcmhBCilZ3fvyOby2tYvvEQ199wJQn7X8RU9T712pPNHoT6Xfq61Vg33obOvQdPxpU4i/6KZmy9y07GyncwVS9GUwzUF/6RBo+fh/7xJUeO86T7LhlJdMtKarX3Fq1P0b678pQAQpOuamrObYa+Xq+SmmqhttYlk94iQPo7sqS/Iyte+tvnD3Lv08upb/Rx94RefG//cFS/ndqhH+FPGdHyAC1AYvkTJJY9jqJ98wt00JiJs+hpvBmXnlUdTf1dU4++/FmSdsxA0fw05NyLq+C3vLm0jPdW7G5xnEGvcusVvRnW+/hPLxDH11qf77Q0S9u420sIIYQ4XQa9yoiiLP731X5Wb6ujJOdSzIdfxVT5Xovwo7r3k7xpCsbaZQC4s6/D3eVWkrZOR+/aim3ddTR2uZX6nr8DXeKZF+NvIHHDFEwHXwm1n3Utrvxf4XB5Wfxl6BmTP726L8UFHVAVBUUJLbIr2j5ZmlUIIUSbMqhnBgCbyqtxZ4Tu+jJVvttsLo/hyP9IXXkextplBHVJOPr8DWffF/Clnkft8M9o6PYTABL2v0jKmnGhBQjPgNqwGxaXYDr4Cpqio77n73H2+weoJhau2oPHFyAnO5nBhRnodSqqqkjwaUck/AghhGhTenSxYTbqcDb42OUfgaaa0DWWo3NtBU0jYfdT2L6eiOqvw2cdSO2Iz/F0+iEcCx+6BFyFf6Bu0NsE9SkYHF83PXD0dOjqt5C8YjTUriNo7IB90Ds0dv8ZKAo1DjefrD0AwIQx+RJ42ikJP0IIIdoUvU6lKCd019f63W68ad8DwHzoNZI33UrSzgdQCNLY6Ubqhn5EMDH/uO340i/A1fN3ACSW/h7VfeiU7634HVjX/xjVVwNpg3Gctwxf2jfLq/x3+W78gSCFXVMoykk911MVUSLhRwghRJvTPz8dgI1l1Xgzvw9A4u4nMB9+HU3R4+z1BPVFs0E1nawZ3J1+hM82BDVQj2Xn/Sd/U00jacud6Bt2ETR3hrEfoCV0aXq5orahaR2fa8fkyahPOybhRwghRJvT9+h6P2UHHVQnXYh29MdV0NAB+6D/4u56+zeXuU5GUanv9Wc0FMyHX8NQ8/kJd03Y9yzmirfQFD31xf8Ec0az19/5vJygptE/P52CLilnfW4i+iT8CCGEaHPSrGa6ZFjQgI37VRpy78PT4VJqhy/BlzbqjNryW4txd7kFgKRt9x538rO+bjWWHaGRIVfP3xFIHd7s9f2V9azeUgHANefLo5PaOwk/Qggh2qR+37r01dDjfhwDXyOY0PWE+y/feIin39rI3oqWD9N29XiAoCEdvWtbi8nPircK64bJKJofd9a1NHa9o9nr9Y0+Xnx/KxowpFcm3bOTz/3kRFTJOj9CCCHapP556Xywai8by2oIahrqCS5zBYJB/vPJLv63Zj8AG0qr+cFFBYwZ0KlpXo5mSMNV8AjJW6aRWPp7FF8Nusa96Nx70bl2ovqq8ScWhOYRfet9ap0e/vDyWg4ecZGUYGDiGBn1iQUy8iOEEKJNyu9sI8Gko77Rx+5DLUdzABrcfp56fUNT8OmWlYTPH+Sfi7bz93e30OjxN+3bbPJz+Z8wH34VQ90qVF81QUM6jgH/QtN/M6pzuNrF7+at4eARF6nJJn71o0Fkpp7FYomizZGRHyGEEG3SsVvev9pexcayavI6WZu9XlnbwFOvb+BQdQNGvcptVxYxqDCDD7/YyxuflbF6SwW7Dzv56dV96ZqZBIqKs8/fSSz7PZreRiChO0FzNwIJXQlYejULPgePuPjjK19TbXeTkWLmvkkDyUhJiHQXiDCR8COEEKLN6peX3hR+xo/KbdpeetDOU69toL7RR2qyibsm9G+aizNueHcKOqfw7DubqKhp4I+vfM3jU0dgMRsIWHrg7Df3pO9ZWdfI7/65BmeDj84dLNxzQzGpySe/pV60L3LZSwghRJvVLy806bn8oANHgxeAbXtq+dOCddQ3+sjJTub+G4e0mITco4uNh28ZRqcOFuobfcd9COnxBDWNue9vxdngI6+zjRk3DpbgE4Mk/AghhGizUpNNdM1MQgM2l9ewbtcR/vzqejzeAL27p/KLHw48YThJSjBwwwU9APj4q/1U1jWe8v0+XXuAHfvqMBl0/HryUJITja15OqKNkPAjhBCiTTs2+vPeit08/eZG/IEgAws6cPd1/TEbTz57o29uGn1yUvEHNN74rPSk+1bVNfL60X2uv6AH2emW1jkB0eZI+BFCCNGm9csLrfZ8qLqBQFBjRJ8sfnJ1Xwx63SmPVRSF677XAwX4clsluw7Yj7ufpmm89ME2PL4APbumcOGQLsfdT8QGCT9CCCHatPzONizm0AjP2IGdue3KIvS60//x1S0rmZJ+HQF49ZNdaJrWYp8l6w6ydU8tRr3KzZf3OuGaQiI2yN1eQggh2jS9TuXu6wZQZW9keO+ss3qg6DWj8/hiawW7Dtj5ansVQ3plNr12xN7Ifz7dBcC1Y/LJkrV8Yp6EHyGEEG1efmcb+Z1tZ318arKJS4d1490Vu3nts11YzHr2Vtazp8LJ9r11eLwBenS2cdFgudwVDyT8CCGEiAvjRnRjyfqDVNW5+eOCdc1eS0owhC53qXK5Kx5I+BFCCBEXzEY9P7yogOff3UJKkomc7GS6ZSfTPSuZ/M5WLGZDtEsUESLhRwghRNwY1juLIb0yZUJznJO7vYQQQsQVCT5Cwo8QQggh4oqEHyGEEELEFQk/QgghhIgrEn6EEEIIEVck/AghhBAirkj4EUIIIURciUj4+eSTT7jqqqvo168fl156KW+88cZpHed0OpkxYwbDhg1j4MCB3HXXXVRWVjbbZ/bs2RQWFrb488orr4TjVIQQQgjRzoV9kcM1a9bws5/9jIkTJzJjxgxWrVrFb37zGywWC5dddtlJj7377rvZtWsXDz30ECaTib/85S/cfvvtvPHGG+j135RuNpuZN29es2O7du0alvMRQgghRPsW9vDz7LPP0r9/fx555BEARowYwb59+/jrX/960vDz9ddfs2zZMl588UVGjRoFQG5uLpdffjkfffQRl19+edO+qqpSXFwc1vMQQgghRGwI62Uvr9fL6tWrW4Scyy+/nNLSUvbv33/CY5cuXYrVaqWkpKRpW15eHr1792bp0qVhq1kIIYQQsS2sIz979+7F5/ORl5fXbHt+fj4AZWVldOnS5bjHlpWVkZubi/KdZcjz8vIoKytrts3tdjNixAgcDgc5OTncdNNNXH/99edcv15/btlQp1Ob/S3CS/o7sqS/I0v6O7KkvyMr0v0d1vBjt9sBsFqtzbYf+/rY68fjcDhITk5usd1ms7Fp06amr7t168Z9991HUVERHo+Hd999lwceeACn08mtt9561rWrqkJqquWsj/82qzWhVdoRp0f6O7KkvyNL+juypL8jK1L9fcbhx+l0trjj6ngiNeF4/Pjxzb4eO3YsPp+PZ599lhtvvBGDwXBW7QaDGg5HwznVptOpWK0JOByNBALBc2pLnJr0d2RJf0eW9HdkSX9HVmv1t9WacFqjR2ccfhYtWsT9999/yv0WLlyIzWYDQoHp2xwOB0DT68djtVo5fPhwi+12u/2kxwGMGzeODz/8kL179zZdYjtTqqq0WgK1WEyt0o44PdLfkSX9HVnS35El/R1Z59rfqqqceifOIvxcd911XHfddae1r9frxWAwUFZWxvnnn9+0/dicne/OBfq2vLw8Vq5ciaZpzeb9lJeX07NnzzMt+4wpioJOd3qdeCpyzTiypL8jS/o7sqS/I0v6O7Ii1d9hfRej0cjw4cP58MMPm21fuHAh+fn5J5zsDDB69GjsdjsrV65s2lZeXs6WLVsYPXr0Sd934cKFWK1WunXrdm4nIIQQQoiYo2iapoXzDdasWcONN97I9ddfz7hx41i9ejXPPPMMTz75JOPGjWvar6ioiKuvvprf//73TdtuvfVWSktL+eUvf4nJZOLJJ59EVdVmixxee+21XH311eTl5eF2u3n33XdZtGgRM2bMYPLkyeE8NSGEEEK0Q2EPPwAff/wxf/nLXygvL6dTp05MmTKFiRMnNtunsLCQa665hpkzZzZtczqdPP744yxevBi/38+oUaO4//77ycrKatrn7rvvZsOGDRw5cgRFUejZsyf/7//9P6666qpwn5YQQggh2qGIhB8hhBBCiLZCZnIJIYQQIq5I+BFCCCFEXJHwI4QQQoi4IuFHCCGEEHFFwo8QQggh4oqEHyGEEELEFQk/QgghhIgrEn6EEEIIEVck/AghhBAirkj4CYPS0lJuvvlmiouLKSkpYdasWXi93miXFZM++OADfvKTnzB69GiKi4sZP348r7/+OrJweWS4XC5Gjx5NYWEhGzdujHY5Meutt97i6quvpl+/fgwfPpzbbrsNt9sd7bJi0scff8x1113HwIEDGTVqFD//+c/Zt29ftMuKCXv27OHBBx9k/PjxFBUVceWVVx53v9dee41LL72Ufv36cdVVV/Hpp5+2ei36Vm8xztntdiZPnkxOTg6zZ8+moqKCmTNn4na7efDBB6NdXsx56aWX6Ny5M7/61a9ITU1lxYoVPPDAAxw+fJif/exn0S4v5j3zzDMEAoFolxHTnn32WZ5//nnuuOMOiouLqa2tZeXKldLvYbB69Wp+9rOfcfXVVzN9+nTq6up46qmnuOWWW3j33Xcxm83RLrFd27lzJ0uWLGHAgAEEg8Hj/pL6/vvv88ADD3DHHXcwYsQIFi5cyM9+9jNefvlliouLW68YTbSqv/3tb1pxcbFWW1vbtG3BggVa7969tcOHD0evsBhVXV3dYtv999+vDRo0SAsEAlGoKH7s2rVLKy4u1l555RWtZ8+e2oYNG6JdUswpLS3VioqKtM8++yzapcSFBx54QLvgggu0YDDYtG3lypVaz549tS+//DKKlcWGb39P/uUvf6ldccUVLfa55JJLtHvuuafZthtuuEG77bbbWrUWuezVypYuXcrIkSNJSUlp2jZu3DiCwSDLly+PXmExKi0trcW23r17U19fT0NDQxQqih+PPfYYkyZNIjc3N9qlxKw333yTLl26MGbMmGiXEhf8fj8WiwVFUZq2JScnA8il9FagqiePHPv27WP37t2MGzeu2fbLL7+clStXtur0EQk/raysrIy8vLxm26xWKxkZGZSVlUWpqvjy1VdfkZWVRVJSUrRLiVmLFi1ix44dTJs2LdqlxLT169fTs2dPnnnmGUaOHEnfvn2ZNGkS69evj3ZpMenaa6+ltLSUl19+GafTyb59+/jzn/9MUVERgwYNinZ5Me/Yz8jv/kKVn5+Pz+dr1blXEn5amcPhwGq1tthus9mw2+1RqCi+rFmzhoULF3LLLbdEu5SY1djYyMyZM5k+fboEzDCrqqpi2bJlvPPOO/z2t7/l6aefRlEUbrnlFqqrq6NdXswZMmQIc+bM4YknnmDIkCFcdNFFVFdX8/zzz6PT6aJdXsw79jPyuz9Dj33dmj9DJfyImHH48GGmT5/O8OHDufHGG6NdTsx69tlnSU9PZ8KECdEuJeZpmkZDQwNPPfUUl112GWPGjOHZZ59F0zT+9a9/Rbu8mLN27Vp+8YtfcP311zNv3jyeeuopgsEgU6ZMkbvrYozc7dXKrFYrTqezxXa73Y7NZotCRfHB4XBw++23k5KSwuzZs095bVmcnQMHDjB37lyefvrpps/5sblVDQ0NuFwuLBZLNEuMKVarlZSUFHr16tW0LSUlhaKiInbt2hXFymLTY489xogRI/jVr37VtK24uJixY8fyzjvvcMMNN0Sxuth37Gek0+kkIyOjabvD4Wj2emuQ8NPK8vLyWsztcTqdVFVVtZgLJFqH2+1m6tSpOJ1O/vOf/zRNUBStb//+/fh8PqZMmdLitRtvvJEBAwbw6quvRqGy2NSjRw/27t173Nc8Hk+Eq4l9paWlXHjhhc22ZWdnk5qaesJ/B9F6jv2M/O7c2bKyMgwGA127dm2195Lw08pGjx7N3/72t2ZzfxYtWoSqqpSUlES5utjj9/u5++67KSsr4+WXXyYrKyvaJcW03r17889//rPZtq1bt/L444/z8MMP069fvyhVFpu+973v8eabb7J161Z69+4NQG1tLZs3b+amm26KbnExqFOnTmzZsqXZtgMHDlBbW0vnzp2jVFX86Nq1Kzk5OSxatIiLLrqoafvChQsZOXIkRqOx1d5Lwk8rmzRpEvPnz2fatGlMnTqViooKZs2axaRJk+QHcxg8/PDDfPrpp/zqV7+ivr6edevWNb1WVFTUqv+ziNBlmOHDhx/3tT59+tCnT58IVxTbLrroIvr168ddd93F9OnTMZlM/P3vf8doNPLDH/4w2uXFnEmTJvH73/+exx57jAsuuIC6urqmOW7fvf1anLnGxkaWLFkChEJlfX09ixYtAmDYsGGkpaVx5513ct9999GtWzeGDx/OwoUL2bBhQ6vPcVM0Wbyg1ZWWlvLoo4/y9ddfY7FYGD9+PNOnT5cfxGFwwQUXcODAgeO+9vHHH9OlS5cIVxR/Vq9ezY033sjrr78uIz9hUFNTw+OPP86nn36Kz+djyJAh/PrXv6ZHjx7RLi3maJrGggULeOWVV9i3bx8Wi4Xi4mKmT59Ofn5+tMtr9/bv39/isuIx//znP5t+sXrttdd4/vnnOXjwILm5udxzzz1873vfa9VaJPwIIYQQIq7ILTFCCCGEiCsSfoQQQggRVyT8CCGEECKuSPgRQgghRFyR8COEEEKIuCLhRwghhBBxRcKPEEIIIeKKhB8hhBBCxBUJP0IIIYSIKxJ+hBBCCBFXJPwIIYQQIq78f/SHfNAoVAmTAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0034472668619882894\n", + "[ -0.42951075 -35.80329336]\n", + "1\n" + ] + } + ], + "source": [ + "length=100\n", + "corr = signal.correlate(steer_la - steer_la.mean(), steerCommands - steerCommands.mean())\n", + "lags = signal.correlation_lags(length, length)\n", + "lag = lags[np.argmax(corr)]\n", + "lag = 1\n", + "\n", + "B = -steerCommands[:length-lag]\n", + "# A = np.vstack([target_la[lag:]-roll_la[lag:], vEgo[lag:]]).T\n", + "A = np.vstack([target_la[lag:] - roll_la[lag:], target_la[lag:] / vEgo[lag:] ** 2]).T\n", + "x = np.linalg.lstsq(A, B, rcond=None)[0]\n", + "\n", + "steer_angle = A @ -x\n", + "\n", + "fig, ax = plt.subplots(1)\n", + "ax.plot(t[lag:], steerCommands[:length-lag])\n", + "ax.plot(t[lag:], steer_angle, color='orange')\n", + "plt.show()\n", + "print(np.sum((steer_angle - steerCommands[:length-lag])**2))\n", + "print(x)\n", + "print(lag)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Kinematic model\n", + "$a_{lat} = \\beta_0 + \\beta_1 * \\frac{v^2 * sin(\\gamma)}{L}$\n", + "\n", + "steer_command $ = f_{steer}^{-1}(\\delta) = arcsin(\\frac{\\frac{a_{lat} - \\beta_0}{\\beta_1}\\cdot L}{v^2})$" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" ] @@ -75,8 +403,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.011248180705200473\n", - "beta0: -0.0769574481921961, beta1: 0.0027094010571292247\n" + "0.07577371326221764\n", + "beta0: 0.026123193367495356, beta1: 0.00175765270787338\n" ] } ], @@ -84,7 +412,12 @@ "L = 1\n", "steerAngle = lambda x: x\n", "\n", - "lag = 0\n", + "corr = signal.correlate(steer_la - steer_la.mean(), steerCommands - steerCommands.mean())\n", + "lags = signal.correlation_lags(100, 100)\n", + "lag = lags[np.argmax(corr)]\n", + "lag = 1\n", + "\n", + "\n", "pred_la = vEgo[lag:] ** 2 * np.sin(steerAngle(steerCommands[:100-lag])) / L\n", "\n", "beta1 = np.sum((pred_la - pred_la.mean()) * (steer_la[lag:] - steer_la[lag:].mean())) / np.sum((pred_la - pred_la.mean()) ** 2)\n", @@ -94,7 +427,7 @@ "# beta0 = -0.04918295333364523\n", "\n", "pred_la = beta0 + beta1 * pred_la\n", - "pred_steer = np.arcsin((steer_la[lag:] - beta0) / beta1 / vEgo[lag:] ** 2)\n", + "pred_steer = (steer_la[lag:] - beta0) / beta1 / vEgo[lag:] ** 2\n", "fig, ax = plt.subplots(2)\n", "ax[0].plot(t[lag:], steer_la[lag:])\n", "ax[0].plot(t[lag:], pred_la, color='orange')\n", @@ -102,13 +435,13 @@ "ax[1].plot(t[:100-lag], pred_steer, color='orange')\n", "plt.show()\n", "\n", - "print(np.sum((pred_la - steer_la[lag:])**2))\n", + "print(np.sum((pred_steer - steerCommands[:100-lag])**2))\n", "print(f'beta0: {beta0}, beta1: {beta1}')" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -120,7 +453,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -138,6 +471,26 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.29559281990781294" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "corr[102]" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -188,85 +541,12 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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/pHdoW9vPXXk8HtXV1bUar62tVUZGRrv7NTU16ciRIxHjgUBALper3X0BAIAz2X7GJicnp9Vamrq6Oh04cKDV+pnj95OknTt3Ki8vLzzu8/mUnZ3d5fU1p2ak6sk5F3dp3/YkJ7vVr18fHTxYr6NHQ91+/HjS2V79dY06cLBB/fulyds3MdbWtHDSvErO6pdezeOva9QDSzdHjLkkLZwxNuH+7ekop8ztqRkdnz/bg01BQYGeeuqpiLU2FRUVcrvdmjBhQpv7jRkzRqeccorWr18fDjbNzc164403VFBQ0OV6XC6XeqckdXn/tiQnu5XaO1m9U5KU1IlrgYmos71+5x/S9Z0OnkKMN06aV8lZ/dKreb7zD+m6sShPKyu2K2T9/QncifrvT0c4ZW5drjhaYzNt2jStWrVKM2fOVElJifbv36/Fixdr2rRpEfewKS4u1r59+7RhwwZJUu/evVVSUqLS0lJ5vV6dffbZ+t3vfqeDBw/qlltusbtsAEACKsjP1uizTlV9s6U+vVzy9DH7XVFozfZgk5GRobKyMj388MOaOXOm0tPTNWXKFM2ePTtiu1AopGAwGDE2Y8YMWZalFStWyO/3a9iwYVq+fLkGDRpkd9kAgATl9aQqNzNdNTWHjb48gxNzWdbxb8g1WzAYkt9/uNuPm5zsVqZDvpHo1VxO6pdezeWkfp3Sq9eb3uF79XBHHwAAYAyCDQAgAg9nRSJz3A36AABt4+GsSHScsQEASOLhrDADwQYAIEnaX9Nwwue7Vdc0xKYgoAsINgAASdKAzDQdfx80t0vKykyLTUFAFxBsAACSvrn/S3FhnlpuYNty516vx8zHEcBMLB4GAIQV5GdrxBCvqmsalJWZRqhBwiHYAAAieD2pBBokLC5FAQAAYxBsAACAMQg2AADAGAQbAABgDBYPdxN/oFFVX9crvZdbnj4psS4HAABHIth0A56tAgBAfOBS1Eni2SoAAMQPgs1J4tkqAADED4LNSeLZKnAyf6BRn+2q4QwlgLjBGpuT1PJslZUV2xWyeLYKnIO1ZQDiEcGmGxTkZ2v0WaeqvtlSn14u3hUF47W1tmzEEC+hHkBMcSmqm3g9qRr53VP5Rx2OwNoyAPGKYAOg01hbBiBeEWwAdFrL2jL3t+GGtWUA4gVrbAB0SUF+tkYM8aq6pkFZmWmEGgBxgWADoMu8nlQCDYC4wqUoAABgDIINAAAwBsEGAAAYg2ADAACMQbABAADGINgAAABjEGwAAIAxCDYAAMAYBBsAAGAMgg0AADAGwQYAbOAPNOqzXTXyBxpjXQrgKDwrCgC6WeXWfSqr2C7LklwuqbgwTwX52bEuC3AEztgAQDfyBxrDoUaSLEtaWbGdMzdADyHYAEA32l/TEA41LUKWVF3TEJuCAIch2ABANxqQmSaXK3LM7ZKyMtNiUxDgMAQbAOhGXk+qigvz5P423Lhd0vTCPHk9qbEtDHAIFg8DQDcryM/WiCFeVdc0KCszjVAD9CCCDQDYwOtJJdAAMcClKAAAYAyCDQAAMAbBBgAAGINgAwAAjEGwAQAAxiDYAAAAYxBsAACAMQg2AADAGAQbAABgDIINAAAwBsEGAAAYo0eCzcaNG3XNNddo5MiRmjx5stasWRN1n6amJi1evFj/9E//pNGjR2vo0KHy+/09UC0AAEhUtgebDz74QLNmzdLo0aO1dOlSFRUV6YEHHlBFRUW7+zU2NuoPf/iDevfurXPPPdfuMgEAgAFsf7r3k08+qVGjRmnBggWSpHHjxqmqqkpLlixRYWFhm/t5PB69//77crlcevnll/X222/bXSoAAEhwtp6xaWpq0ubNm1sFmCuuuEI7duzQnj172t3f5XLZWR4AADCMrWdsdu/erebmZuXk5ESM5+bmSpJ8Pp8GDhxoZwknlJzc/XkuKckd8afJ6NVcTuqXXs3lpH6d1GtH2RpsamtrJX1zWelYLa9bPt6T3G6XMjPTbTu+x5Nm27HjDb2ay0n90qu5nNSvk3qNptPBpq6uTtXV1VG3GzRoUJcKslsoZCkQqO/24yYlueXxpCkQaFAwGOr248cTejWXk/qlV3M5qV+n9OrxpHX4rFSng01FRYUefPDBqNuVl5crIyND0jdh6FiBQECSwh/vaUeP2jf5wWDI1uPHE3o1l5P6pVdzOalfJ/UaTaeDzdSpUzV16tQObdvU1KRevXrJ5/PpoosuCo/7fD5JarX2BgAA4GTYutooJSVFY8eO1euvvx4xXl5ertzc3JgsHAYAAOayfRn1HXfcoS1btmjevHnavHmzlixZonXr1unOO++M2G748OGaO3duxNhbb72liooKffLJJ5KkN998UxUVFfriiy/sLhsAACQg22/Qd95556m0tFSPP/64XnrpJWVnZ2vhwoUqKiqK2C4YDCoUirw+OH/+fO3duzf8uiX4zJo1q1UwAgAAsD3YSNLEiRM1ceLEdrf5/PPPW41t3LjRrpIAAICBuKMPAAAwBsEGAAAYg2ADAACMQbABAADGINgAAABjEGwAAIAxCDYAAMAYBBsAAGAMgg0AADAGwQYAABiDYAMAAIxBsAEAAMYg2AAAAGMQbAAAgDEINgAAwBgEGwAAYAyCDQAAMAbBBgAAGINgAwAAjEGwAQAAxiDYAAAAYxBsAACAMQg2AADAGAQbAABgDIINAAAwBsEGAAAYg2ADAACMQbABAADGINgAAABjEGwAAIAxCDYAAMAYBBsAAGAMgg0AADAGwQYAABiDYAMAAIxBsAEAAMYg2AAAAGMQbAAAgDEINgnAH2jUZ7tq5A80xroUAADiWnKsC0D7KrfuU1nFdlmW5HJJxYV5KsjPjnVZAADEJc7YxDF/oDEcaiTJsqSVFds5cwMAQBsINnFsf01DONS0CFlSdU1DbAoCACDOEWzi2IDMNLlckWNul5SVmRabggAAiHMEmzjm9aSquDBP7m/DjdslTS/Mk9eTGtvCAACIUywejnMF+dkaMcSr6poGZWWmEWoAAGgHwSYBeD2pBBoAADqAS1EAAMAYBBsAAGAMgg0AADAGwQYAABiDYAMAAIxBsAEAAMYg2AAAAGMQbAAAgDF6JNhs3LhR11xzjUaOHKnJkydrzZo1UffZtm2b7r//fk2aNEn5+fm6/PLL9eijj6q+vr4HKgYAAInI9jsPf/DBB5o1a5amTJmiuXPn6r333tMDDzyg9PR0FRYWtrnf+vXrtWvXLt16660aPHiwvvjiCy1ZskRbt27VypUr7S4bAAAkINuDzZNPPqlRo0ZpwYIFkqRx48apqqpKS5YsaTfYzJgxQ16vN/x67Nix8ng8uvfee/XJJ59oxIgRdpcOAAASjK2XopqamrR58+ZWAeaKK67Qjh07tGfPnjb3PTbUtBg+fLgkqbq6unsLBQAARrD1jM3u3bvV3NysnJyciPHc3FxJks/n08CBAzt8vA8//FCSWh2vs5KTuz/PJSW5I/40Gb2ay0n90qu5nNSvk3rtKFuDTW1trSTJ4/FEjLe8bvl4R/j9fpWWlmrixIkaPHhwl2tyu13KzEzv8v7ReDxpth073tCruZzUL72ay0n9OqnXaDodbOrq6jp0KWjQoEFdKuhEmpubNWfOHEnSvHnzTupYoZClQKD731mVlOSWx5OmQKBBwWCo248fT+jVXE7ql17N5aR+ndKrx5PW4bNSnQ42FRUVevDBB6NuV15eroyMDEnfhKFjBQIBSQp/vD2WZWnu3Lnatm2bXnjhBWVlZXW25FaOHrVv8oPBkK3Hjyf0ai4n9Uuv5nJSv07qNZpOB5upU6dq6tSpHdq2qalJvXr1ks/n00UXXRQe9/l8kjq2VuaRRx7R+vXrtXTpUuXl5XW2XOCk+AONqvq6Xum93PL0SYl1OQCAKGxdY5OSkqKxY8fq9ddfV3FxcXi8vLxcubm5URcOP/PMM3ruuef0b//2bxo/frydpQKtVG7dp7KK7bIsyeWSigvzVJCfHeuyAADtsH0Z9R133KEtW7Zo3rx52rx5s5YsWaJ169bpzjvvjNhu+PDhmjt3bvj12rVr9eijj+rqq6/WwIEDtWXLlvB/fr/f7rLhcP5AYzjUSJJlSSsrtssfaIxtYQCAdtl+g77zzjtPpaWlevzxx/XSSy8pOztbCxcuVFFRUcR2wWBQodDfrw9u2rRJkvTaa6/ptddei9j2V7/6lX74wx/aXTocbH9NQzjUtAhZUnVNg7ye1NgUBQCIyvZgI0kTJ07UxIkT293m888/j3i9aNEiLVq0yM6ygDYNyEyTy6WIcON2SVmZvKUSAOIZd/RBwvMHGvXZrppuvUzk9aSquDBPbtc3r90uaXphXsKdrbHj7wYA4lmPnLEB7GLnAt+C/GyNPutU1Tdb6tPLlXDvimLxMwAn4owNEva3+p5Y4Ov1pGrkd09NyDM1LH4G4EScsXG4RP6tngW+bePvBoBTccbGwRL9t/qWBb7HYoHvN/i7AeBUBBsHa++3+kRgygJfO/B3A8CpuBTlYCa8pbkgP1sjhnhVXdOgrMw0fnAfg78bAE7EGRsHM+W3eq8nVXlnZiZc3T2BvxsATsMZG4fjt3oAgEkINpDXk0qgAQAYgUtRAADAGAQbAABgDIINAAAwBsEGAAB0i3h4RA+LhwEAwEmLl0f0cMYGAACclHh6RA/BBgAAnJR4ekQPwQYAAJyUeHrwLsEGAACclHh6RA+LhwEAwEmLl0f0EGwAAEC3iIdH9HApCgAAGINgAwAAjEGwAQAAxiDYAAAAYxBsAACAMQg2AADAGAQbAABgDIINAAAwBsEGAAAYg2ADAACMQbABAADGINgAAABjEGwAAIAxCDYAAMAYBBsAAGAMgg0AADAGwQYAABiDYAMAAIxBsAEAAMYg2AAAAGMQbAAAgDEINgAAwBgEGwAAYAyCDQAAMAbBBgAAGINgAwAAjEGwAQAAxiDYAAAAYxBsAACAMQg2AIAe5Q806rNdNfIHGmNdCgyUHOsCAADOUbl1n8oqtsuyJJdLKi7MU0F+dqzLgkE4YwMA6BH+QGM41EiSZUkrK7Zz5gbdimADAOgR+2sawqGmRciSqmsaYlMQjNQjwWbjxo265pprNHLkSE2ePFlr1qyJuk9VVZVKSkpUUFCgkSNH6sILL9Rdd92lnTt39kDFAIDuNiAzTS5X5JjbJWVlpsWmIBjJ9mDzwQcfaNasWRo9erSWLl2qoqIiPfDAA6qoqGh3v8OHD+vUU0/VnDlztGzZMt13333auXOnpk+fLr/fb3fZAIBu5vWkqrgwT+5vw43bJU0vzJPXkxrbwmAU2xcPP/nkkxo1apQWLFggSRo3bpyqqqq0ZMkSFRYWtrlfXl6efvGLX0SMjRgxQpMnT9amTZt09dVX21o3AKD7FeRna8QQr6prGpSVmUaoQbez9YxNU1OTNm/e3CrAXHHFFdqxY4f27NnTqeP169dPktTc3NxdJQIAepjXk6q8MzMJNbCFrcFm9+7dam5uVk5OTsR4bm6uJMnn80U9RigUUnNzs/bs2aOHH35Y3/nOdzRp0iRb6gUAAInN1ktRtbW1kiSPxxMx3vK65ePt+dd//VetXbtWknTGGWfo2WefVd++fU+qruTk7s9zSUnuiD9NRq/mclK/9GouJ/XrpF47qtPBpq6uTtXV1VG3GzRoUJcKOt7dd9+t6dOn6//+7/9UVlamm266SS+88IKys7t2Qye326XMzPRuqe1EPB7nrO6nV3M5qV96NZeT+nVSr9F0OthUVFTowQcfjLpdeXm5MjIyJH0Tho4VCAQkKfzx9gwaNEiDBg3SqFGjVFBQoMsvv1zLli3TQw891NnSJUmhkKVAoL5L+7YnKcktjydNgUCDgsFQtx8/ntCruZzUL72ay0n9OqVXjyetw2elOh1spk6dqqlTp3Zo26amJvXq1Us+n08XXXRReLxlbc3xa2+iSUtLU25urnbt2tWp/Y539Kh9kx8Mhmw9fjyhV3M5qV96NZeT+nVSr9HYelEuJSVFY8eO1euvvx4xXl5ertzcXA0cOLBTxzt06JA+//zzbrvMBQAAzGL7fWzuuOMOTZ8+XfPmzVNRUZE2b96sdevW6bHHHovYbvjw4fr+97+vX/7yl5Kk0tJS1dXVacyYMfJ6vdq7d69WrVqlpqYmFRcX2102AABIQLYHm/POO0+lpaV6/PHH9dJLLyk7O1sLFy5UUVFRxHbBYFCh0N9Pow0fPlzPPfecXn31VdXX12vAgAE6//zz9Zvf/IYzNgAA4IRsDzaSNHHiRE2cOLHdbT7//PNO7wMAAHAs3vgOAACMQbABAADGcFmWZcW6iJ5kWZZCIXtaTkpyG30fgWPRq7mc1C+9mstJ/TqhV7fbJZfL1aFtHRdsAACAubgUBQAAjEGwAQAAxiDYAAAAYxBsAACAMQg2AADAGAQbAABgDIINAAAwBsEGAAAYg2ADAACMQbABAADGINgAAABjEGwAAIAxCDYAAMAYybEuIBHs2LFDCxcu1F//+lelp6fr2muv1T333KOUlJR297MsS0uXLtULL7wgv9+vYcOG6f7779fo0aN7pvBOWr9+vV577TV9+umnCgQCOvPMM3XDDTfouuuua/dx8Zdddpn27t3banzbtm3q3bu3nSV32csvv6z777+/1fiMGTN07733trlfos1pixtuuEHvv//+CT/27//+77ryyitP+LFEmNtdu3Zp+fLl2rp1q/72t78pJydH69ata7XdH/7wBy1btkz79u3TkCFDNHv2bF166aVRj79//34tXLhQb7/9tnr16qVJkybp/vvv1ymnnGJHO+2K1uuhQ4f07LPP6q233tKXX36plJQUjRo1SrNnz9bQoUPbPfbmzZs1ffr0VuNXXHGFHnvssW7vpSM6MrdtfW2Xl5crNze33eMn0tzu2bNHEydOPOG+KSkp+vjjj9s8djzOrZ0INlHU1taquLhYgwcPVmlpqfbv369FixapsbFRDz30ULv7Ll26VEuWLNG9996roUOH6vnnn9fNN9+sV199VYMGDeqhDjruueee0+mnn6777rtPmZmZeuedd/Szn/1MX331lWbNmtXuvpMnT9bNN98cMRYt+MWDZcuWqW/fvuHXAwYMaHf7RJvTFj//+c916NChiLGysjK98cYbGj9+fLv7xvvc/u1vf9Nbb72l/Px8hUIhWZbVaps//vGP+tnPfqbbb79d48aNU3l5uWbNmqXnn3++3VDa3NysW2+9VZL06KOPqrGxUY888oj++Z//WU8//bRdLbUpWq/79u3T73//e1133XW65557dOTIEa1YsULXX3+91qxZE/UHvST96le/Uk5OTvh1ZmZmt/fRUR2ZW0kaM2aMfvrTn0aMDRw4sN1jJ9rcZmVl6fe//33EmGVZuvXWWzVu3LgOfY54mltbWWjXU089ZY0ePdqqqakJj7344ovWsGHDrK+++qrN/RobG60xY8ZYjz76aHjsyJEj1qWXXmr9/Oc/t7Hirvv6669bjT344IPWmDFjrGAw2OZ+l156qTV//nw7S+t2a9assc4+++wT9tyWRJzT9lx22WXWjBkz2t0mEeb22K/Nn/70p9aVV17ZapvLL7/cmjNnTsTY9ddfb916663tHnvt2rXW0KFDrR07doTH/vKXv1hnn322tXXr1pOsvPOi9Xr48GGrvr4+YuzQoUPWBRdcYC1YsKDdY7/33nvW2WefbW3btq37Cj5JHZnbH//4x9Ztt93W6WMn2tyeSMuclZeXd2i7eJpbO7HGJorKykqNHz9e/fr1C48VFRUpFApp06ZNbe730Ucf6dChQyoqKgqPpaSkaNKkSaqsrLSz5C7zer2txoYNG6ZDhw6pvr4+BhXFl0Sc07Z89NFH2rNnj66++upYl3LS3O72/xmrqqrSl19+GTFv0jen4d999101NTW1uW9lZaWGDh0a8VvuhAkT1K9fP7311lsnV3gXROu1T58+SktLixhLT0/XGWecoerqajtLs0W0fk9Gos3tiaxbt06nnHKKLrvsMhsqSlwEmyh8Pl/EF74keTwe9e/fXz6fr939JLXaNzc3V/v27VNjY2P3F2uDDz/8UAMGDIh6zXnt2rUaMWKEzjnnHM2YMUOff/55D1V4cq666ioNGzZMEydO1NNPP61gMNjmtqbMqfTNP4h9+vRp85r9sRJ1blu0zNuQIUMixnNzc9Xc3Kyqqqp29z1+vl0ul4YMGdLu9388CQQC4TUbHXHbbbdp2LBhKigo0COPPJIQX9fvv/++Ro8erZEjR+rHP/6x/ud//ifqPok+t83NzXrjjTc0adKkDq93S8S57QrW2EQRCATk8XhajWdkZKi2trbd/VJSUlp9wXk8HlmWpdraWqWmpnZ7vd3pgw8+UHl5eatr18e77LLLNGrUKGVnZ6uqqkpPPfWU/vEf/1GvvPJK3K476d+/v+68807l5+fL5XJp48aNevzxx7V///42106ZMKeSdPToUa1fv16XXXaZ+vTp0+62iTi3x2v5Pj3++7jldbTv42PXYLWI9v0fT37961/L5XLpRz/6Ubvb9e3bV7feeqvOP/989e7dW++9955WrFghn88XkzUnHXX++efr2muv1eDBg1VdXa3ly5frpptu0qpVq3TOOee0uV+iz21lZaUOHjyoq666Kuq2iTq3XUWwwQl99dVXmj17tsaOHXvC1fTHevDBB8P/f95552nChAkqKirS8uXLNW/ePJsr7ZqLLrpIF110Ufj1hRdeqN69e6usrEy33367srKyYlidvTZt2iS/39+hfxATcW7xd2vWrNHq1au1aNEinXbaae1uO3z4cA0fPjz8evz48crKytKCBQu0bds2jRo1yu5yu+Suu+6KeH3JJZfoqquu0m9/+1stXbo0RlXZb+3atTr11FOjLv6XEnduu4pLUVF4PB7V1dW1Gq+trVVGRka7+zU1NenIkSMR44FAQC6Xq919Yy0QCGjGjBnq16+fSktLO33tNysrS+eee64+/fRTmyq0R1FRkYLBoD777LMTfjyR5/RY69atU79+/XThhRd2et9EnNuWeTn++zgQCER8/EQ8Hk+rd5NJ0b//48Fbb72lhx56SD/5yU/0gx/8oEvHaFmX9Mknn3Rnabbq06ePLr744qhfo4k8t4cPH9abb76poqIiJSUldekYiTi3HUWwiSInJ6fV9da6ujodOHCg3WvWLR/buXNnxLjP51N2dnbcXrJobGxUSUmJ6urqWr0V2ukSdU6P1djYqD/96U8qLCxUr169Yl1Oj2iZt+O/j30+n3r16tXuJbUTff9blqWdO3d2eM1KLGzZskV33323vv/97+vuu++OdTlxKVHnVpI2bNigxsZGIxb/24FgE0VBQYHeeeed8G93klRRUSG3260JEya0ud+YMWN0yimnaP369eGxlsVeBQUFttbcVUePHtU999wjn8+nZcuWRb2nS1v279+vDz/8UCNHjuzmCu1VXl6upKSkiFO2x0rEOT3exo0bVV9f3+V/EBNxbgcNGqTBgweroqIiYry8vFzjx49v9548BQUF2r59u7788svw2LvvvquDBw/q4osvtqvkk/LFF1+opKRE48aN0/z580/qWH/84x8lKaHmu76+Xv/93/8dteZEnNsW69at0xlnnKH8/PwuHyMR57ajWGMTxbRp07Rq1SrNnDlTJSUl2r9/vxYvXqxp06ZF/OAvLi7Wvn37tGHDBklS7969VVJSotLSUnm9Xp199tn63e9+p4MHD+qWW26JVTvtmj9/vt58803dd999OnTokLZs2RL+2PDhw5WSktKqz3Xr1unNN9/UxRdfrKysLFVVVemZZ55RUlKSbrrpphh1Et0tt9yisWPHhu/G+uc//1mrV6/W9OnT1b9/f0lmzOnx1q5dq+zsbJ177rmtPpaoc9vQ0BB+e+7evXt16NChcIi54IIL5PV6deedd+ree+/VGWecobFjx6q8vFzbtm3Tf/7nf4aPs3fvXk2aNEk/+clPwjeknDx5sp5++mndeeedmjNnjhoaGrR48WJdcsklMVmXEK1Xy7J0yy23qHfv3iouLo64zHDKKafou9/9bnjf43u99957deaZZ2r48OHhBabPPfecvve978Xsh1+0flt+CZs0aZJOP/10VVdX69lnn9WBAwf0m9/8JnwcE+a25XYcfr9f7777rmbMmHHC4yTK3NqJYBNFRkaGysrK9PDDD2vmzJlKT0/XlClTNHv27IjtQqFQq7cKz5gxQ5ZlacWKFeHb7y9fvjxu303Scl+eRYsWtfrYn//8Zw0cOLBVnwMHDlR1dbV++ctfqq6uTn379tW4ceN01113xW2f0jdv/V2zZo2++uorhUIhDR48WHPnztUNN9wQ3saEOT1WbW2t/vKXv6i4uPiEj8hI1Ln9+uuvW11uaXm9cuVKjR07VldddZUaGhq0dOlSPfPMMxoyZIieeOKJiHfNWJalYDAYccfXXr16admyZVq4cKHmzJmj5ORkTZo0SXPnzu2Z5o4TrVfpm4X/knTjjTdGbHfBBRdo1apVkk7c61lnnaW1a9dqxYoVam5u1umnn67bb79dt912m13tRBWt39NOO03Nzc167LHHdPDgQaWlpemcc87R/PnzI8KJCXM7duxYSd88+ubo0aNtnnVNlLm1k8uy2rhHNQAAQIJhjQ0AADAGwQYAABiDYAMAAIxBsAEAAMYg2AAAAGMQbAAAgDEINgAAwBgEGwAAYAyCDQAAMAbBBgAAGINgAwAAjPH/AdJC9pNxWnRbAAAAAElFTkSuQmCC", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax1 = plt.subplots()\n", - "ax1.plot(t, np.abs(steer_la - pred_la))\n", - "ax2 = ax1.twinx()\n", - "ax2.plot(t, np.abs(vEgo), color='r')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, + "execution_count": 79, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -277,8 +557,9 @@ ], "source": [ "plt.plot(t, target_la)\n", - "plt.plot(t, roll_la, color='r')\n", "plt.plot(t, steerCommands)\n", + "plt.plot(t, roll_la)\n", + "\n", "plt.show()" ] } @@ -299,7 +580,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.12" + "version": "3.11.4" } }, "nbformat": 4, diff --git a/models/pytorch/VehicleStateModel.py b/models/pytorch/VehicleStateModel.py new file mode 100644 index 00000000..1350641d --- /dev/null +++ b/models/pytorch/VehicleStateModel.py @@ -0,0 +1,24 @@ +import torch.nn as nn + +class VehicleStateModel(nn.Module): + def __init__(self, input_size=5, hidden_size=5): + super(VehicleStateModel, self).__init__() + + self.model = nn.ModuleDict({ + 'lstm1': nn.LSTMCell(input_size=input_size, hidden_size=hidden_size), + 'layer_norm1': nn.LayerNorm(hidden_size), + 'lstm2': nn.LSTMCell(input_size=input_size, hidden_size=hidden_size), + 'layer_norm2': nn.LayerNorm(hidden_size), + 'linear': nn.Linear(hidden_size, hidden_size), + 'relu': nn.ReLU() + }) + + def forward(self, x): + lstm_out, _ = self.model.lstm1(x) + lstm_out = self.model.layer_norm1(lstm_out) + lstm_out, _ = self.model.lstm2(lstm_out) + lstm_out = self.model.layer_norm2(lstm_out) + x += self.model.relu(self.model.linear(lstm_out)) + last_output = x[:, -1, :] + output = self.output_layer(last_output) + return output.squeeze(-1) \ No newline at end of file diff --git a/viz.ipynb b/viz.ipynb index 55176aca..88690702 100644 --- a/viz.ipynb +++ b/viz.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -33,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 3, "metadata": {}, "outputs": [ { From 8ac973bf65521f409cfab64cec97253594d55ce5 Mon Sep 17 00:00:00 2001 From: RisaK Date: Fri, 23 Aug 2024 06:17:56 +0000 Subject: [PATCH 05/21] tinyphiscis sim --- performance_exp.ipynb | 158 +++++++++++++++++++++++++++++ profile256.out | Bin 0 -> 500801 bytes tinyphysics_sim.py | 231 ++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 389 insertions(+) create mode 100644 performance_exp.ipynb create mode 100644 profile256.out create mode 100644 tinyphysics_sim.py diff --git a/performance_exp.ipynb b/performance_exp.ipynb new file mode 100644 index 00000000..219c74de --- /dev/null +++ b/performance_exp.ipynb @@ -0,0 +1,158 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from pathlib import Path\n", + "from multiprocessing import Pool\n", + "from collections import namedtuple\n", + "from functools import partial\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "ACC_G = 9.81\n", + "def load_data(data_path):\n", + " df = pd.read_csv(data_path)\n", + " data = {\n", + " 'roll_lataccel': np.sin(df['roll'].to_numpy()) * ACC_G,\n", + " 'v_ego': df['vEgo'].to_numpy(),\n", + " 'a_ego': df['aEgo'].to_numpy(),\n", + " 'target_lataccel': df['targetLateralAcceleration'].to_numpy(),\n", + " 'steer_command': -df['steerCommand'].to_numpy() # steer commands are logged with left-positive convention but this simulator uses right-positive\n", + " }\n", + " return data\n", + "\n", + "def load_test(file_path, num_segs=5000, processes=1):\n", + " data_path = Path(file_path)\n", + " if data_path.is_file():\n", + " data = load_data(str(data_path))\n", + " elif data_path.is_dir():\n", + " files = sorted(data_path.iterdir())[:num_segs]\n", + " if processes <= 1:\n", + " data = list(map(load_data, [str(file) for file in files]))\n", + " else:\n", + " with Pool(processes) as p:\n", + " data = p.map(load_data, [str(file) for file in files])\n", + "\n", + " return data" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "State = namedtuple('State', ['roll_lataccel', 'v_ego', 'a_ego'])\n", + "FuturePlan = namedtuple('FuturePlan', ['lataccel', 'roll_lataccel', 'v_ego', 'a_ego'])\n", + "FUTURE_PLAN_STEPS = 50\n", + "\n", + "def get_state_target_futureplan(d):\n", + "\n", + " return [(\n", + " State(roll_lataccel=d['roll_lataccel'][step_idx], v_ego=d['v_ego'][step_idx], a_ego=d['a_ego'][step_idx]),\n", + " d['target_lataccel'][step_idx],\n", + " FuturePlan(\n", + " lataccel=d['target_lataccel'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS],\n", + " roll_lataccel=d['roll_lataccel'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS],\n", + " v_ego=d['v_ego'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS],\n", + " a_ego=d['a_ego'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS]\n", + " )\n", + " ) for step_idx in range(100)]\n", + "\n", + "def get_state_test(data, processes=1):\n", + " if processes <= 1:\n", + " data = list(map(get_state_target_futureplan, data))\n", + " else:\n", + " with Pool(processes) as p:\n", + " data = p.map(get_state_target_futureplan, data)\n", + " return data" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "file_path_single = './data/00000.csv'\n", + "file_path_multi = './data'" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "data = load_test(file_path_multi, num_segs=5000)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "rng = np.random.default_rng()\n", + "probs = np.random.rand(512, 1024)\n", + "probs /= probs.sum(axis=1, keepdims=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "9.04 ms ± 8.61 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" + ] + } + ], + "source": [ + "%timeit [rng.choice(1024, p = probs[i]) for i in range(probs.shape[0])]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/profile256.out b/profile256.out new file mode 100644 index 0000000000000000000000000000000000000000..e86deaa931cdd28c8b2508f55a690974a2766985 GIT binary patch literal 500801 zcmc$Hbzqap^Ec8$1$U>ow-ky)0u`s8hn7xWV8sTD6>Wvp^b{t8##SIcfGNDKolPu5FKZU zFd57G2L=Y1d5gYOv{o0X<@Dx&Xst0!Yero`9}s4Vi^f->TC?6iI?h@wNs=V-X==w> 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z9_K#6!_*4CN{B+3EgIg0oX(q-1 literal 0 HcmV?d00001 diff --git a/tinyphysics_sim.py b/tinyphysics_sim.py new file mode 100644 index 00000000..74371172 --- /dev/null +++ b/tinyphysics_sim.py @@ -0,0 +1,231 @@ +import argparse +import importlib +import numpy as np +import onnxruntime as ort +import pandas as pd + +from collections import namedtuple +from hashlib import md5 +from pathlib import Path +from typing import List, Union, Tuple, Dict +from tqdm import tqdm + +from controllers import BaseController + + +ACC_G = 9.81 +FPS = 10 +CONTROL_START_IDX = 100 +COST_END_IDX = 500 +CONTEXT_LENGTH = 20 +VOCAB_SIZE = 1024 +LATACCEL_RANGE = [-5, 5] +STEER_RANGE = [-2, 2] +MAX_ACC_DELTA = 0.5 +DEL_T = 0.1 +LAT_ACCEL_COST_MULTIPLIER = 50.0 +MAX_BATCH_SIZE=256 + +FUTURE_PLAN_STEPS = FPS * 5 # 5 secs + +State = namedtuple('State', ['roll_lataccel', 'v_ego', 'a_ego']) +FuturePlan = namedtuple('FuturePlan', ['lataccel', 'roll_lataccel', 'v_ego', 'a_ego']) + + +class LataccelTokenizer: + def __init__(self): + self.vocab_size = VOCAB_SIZE + self.bins = np.linspace(LATACCEL_RANGE[0], LATACCEL_RANGE[1], self.vocab_size) + + def encode(self, value: Union[float, np.ndarray, List[float]]) -> np.ndarray: + value = self.clip(value) + return np.digitize(value, self.bins, right=True) + + def decode(self, token: np.ndarray) -> np.ndarray: + return self.bins[token] + + def clip(self, value: Union[float, np.ndarray, List[float]]) -> Union[float, np.ndarray]: + return np.clip(value, LATACCEL_RANGE[0], LATACCEL_RANGE[1]) + + +class TinyPhysicsModel: + def __init__(self, model_path: str, debug: bool) -> None: + self.tokenizer = LataccelTokenizer() + options = ort.SessionOptions() + # options.intra_op_num_threads = 1 + # options.inter_op_num_threads = 1 + options.log_severity_level = 3 + provider = 'CUDAExecutionProvider' + + with open(model_path, "rb") as f: + self.ort_session = ort.InferenceSession(f.read(), options, [provider]) + + def softmax(self, x, axis=-1): + e_x = np.exp(x - np.max(x, axis=axis, keepdims=True)) + return e_x / np.sum(e_x, axis=axis, keepdims=True) + + def predict(self, input_data: dict, random_generators: List[np.random.RandomState], temperature=1.) -> np.ndarray: + res = self.ort_session.run(None, input_data)[0] + + # we only care about the last timestep + probs = self.softmax(res[:, -1] / temperature, axis=-1) + assert probs.shape[0] <= MAX_BATCH_SIZE + assert probs.shape[1] == VOCAB_SIZE + samples = np.array([rand.choice(VOCAB_SIZE, p=prob) for prob, rand in zip(probs, random_generators)]) + return samples + + def get_current_lataccel(self, batch_sim_states: List[List[State]], batch_actions: List[List[float]], batch_past_preds: List[np.ndarray], random_generators: List[np.random.RandomState]) -> np.ndarray: + batch_tokenized_actions = self.tokenizer.encode(np.array(batch_past_preds)).T # (CONTEXT_LENGTH, BATCH_SIZE) + batch_raw_states = [[list(x) for x in sim_states] for sim_states in batch_sim_states] # (CONTEXT_LENGTH, BATCH_SIZE, 3) + + batch_actions = np.transpose(batch_actions) + batch_raw_states = np.transpose(batch_raw_states, (1, 0, 2)) + + batch_states = np.concatenate((batch_actions[:, :, np.newaxis], batch_raw_states), axis=2) + # batch_states = [np.column_stack([actions, raw_states]) for actions, raw_states in zip(batch_actions, batch_raw_states)] + + input_data = { + 'states': np.array(batch_states).astype(np.float32), + 'tokens': batch_tokenized_actions.astype(np.int64) + } + return self.tokenizer.decode(self.predict(input_data, random_generators, temperature=0.8)) + + +class TinyPhysicsSimulator: + def __init__(self, model: TinyPhysicsModel, data_paths: Union[str, List[str]], controllers: List[BaseController]) -> None: + if isinstance(data_paths, str): + data_paths = [data_paths] + if len(data_paths) > MAX_BATCH_SIZE: + raise ValueError(f"batch size must be smaller than {MAX_BATCH_SIZE}") + self.data_paths = data_paths + self.sim_model = model + self.data = list(map(self.get_data, data_paths)) + self.controllers = controllers + self.is_batch_control = isinstance(controllers, BaseController) and len(data_paths) > 1 + self.reset() + + def reset(self) -> None: + self.step_idx = CONTEXT_LENGTH + batch_state_target_futureplans = [self.get_state_target_futureplan(i) for i in range(self.step_idx)] + self.state_histories = [[x[0] for x in e] for e in batch_state_target_futureplans] + self.action_histories = np.transpose([d['steer_command'][:self.step_idx] for d in self.data]).tolist() + self.current_lataccel_histories = [np.array([x[1] for x in e]) for e in batch_state_target_futureplans] + self.target_lataccel_histories = [np.array([x[1] for x in e]) for e in batch_state_target_futureplans] + self.target_future = None + self.current_lataccel = self.current_lataccel_histories[-1] + seeds = [int(md5(data_path.encode()).hexdigest(), 16) % 10**4 for data_path in self.data_paths] + self.random_generators = [np.random.RandomState(seed) for seed in seeds] + + def get_data(self, data_path: str) -> Dict[str, np.ndarray]: + df = pd.read_csv(data_path) + data = { + 'roll_lataccel': np.sin(df['roll'].to_numpy()) * ACC_G, + 'v_ego': df['vEgo'].to_numpy(), + 'a_ego': df['aEgo'].to_numpy(), + 'target_lataccel': df['targetLateralAcceleration'].to_numpy(), + 'steer_command': -df['steerCommand'].to_numpy() # steer commands are logged with left-positive convention but this simulator uses right-positive + } + return data + + def sim_step(self, step_idx: int) -> None: + preds = self.sim_model.get_current_lataccel( + batch_sim_states=self.state_histories[-CONTEXT_LENGTH:], + batch_actions=self.action_histories[-CONTEXT_LENGTH:], + batch_past_preds=self.current_lataccel_histories[-CONTEXT_LENGTH:], + random_generators=self.random_generators + ) + preds = np.clip(preds, self.current_lataccel - MAX_ACC_DELTA, self.current_lataccel + MAX_ACC_DELTA) + if step_idx >= CONTROL_START_IDX: + self.current_lataccel = preds + else: + self.current_lataccel = self.target_lataccel_histories[-1] + + self.current_lataccel_histories.append(self.current_lataccel) + + def control_step(self, step_idx: int) -> None: + actions = [controller.update(self.target_lataccel_histories[step_idx][i], self.current_lataccel[i], self.state_histories[step_idx][i], future_plan=self.futureplan[i]) for i, controller in enumerate(self.controllers)] + if step_idx < CONTROL_START_IDX: + actions = [d['steer_command'][step_idx] for d in self.data] + actions = np.clip(actions, STEER_RANGE[0], STEER_RANGE[1]).tolist() + self.action_histories.append(actions) + + def get_state_target_futureplan(self, step_idx: int) -> List[Tuple[State, float, FuturePlan]]: + return [( + State(roll_lataccel=d['roll_lataccel'][step_idx], v_ego=d['v_ego'][step_idx], a_ego=d['a_ego'][step_idx]), + d['target_lataccel'][step_idx], + FuturePlan( + lataccel=d['target_lataccel'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS], + roll_lataccel=d['roll_lataccel'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS], + v_ego=d['v_ego'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS], + a_ego=d['a_ego'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS] + ) + ) for d in self.data] + + def step(self) -> None: + batch_state_target_futureplan = self.get_state_target_futureplan(self.step_idx) + self.state_histories.append([x[0] for x in batch_state_target_futureplan]) + self.target_lataccel_histories.append(np.array([x[1] for x in batch_state_target_futureplan])) + self.futureplan = [x[2] for x in batch_state_target_futureplan] + self.control_step(self.step_idx) + self.sim_step(self.step_idx) + self.step_idx += 1 + + def plot_data(self, ax, lines, axis_labels, title) -> None: + ax.clear() + for line, label in lines: + ax.plot(line, label=label) + ax.axline((CONTROL_START_IDX, 0), (CONTROL_START_IDX, 1), color='black', linestyle='--', alpha=0.5, label='Control Start') + ax.legend() + ax.set_title(f"{title} | Step: {self.step_idx}") + ax.set_xlabel(axis_labels[0]) + ax.set_ylabel(axis_labels[1]) + + def compute_cost(self) -> List[Dict[str, float]]: + target = np.array(self.target_lataccel_histories)[CONTROL_START_IDX:COST_END_IDX] + pred = np.array(self.current_lataccel_histories)[CONTROL_START_IDX:COST_END_IDX] + + lat_accel_costs = np.mean((target - pred)**2, axis=0) * 100 + jerk_costs = np.mean((np.diff(pred, axis=0) / DEL_T)**2, axis=0) * 100 + total_costs = (lat_accel_costs * LAT_ACCEL_COST_MULTIPLIER) + jerk_costs + return [{'lataccel_cost': lat_accel_cost, 'jerk_cost': jerk_cost, 'total_cost': total_cost} for lat_accel_cost, jerk_cost, total_cost in zip(lat_accel_costs, jerk_costs, total_costs)] + + def rollout(self) -> List[Dict[str, float]]: + for _ in range(CONTEXT_LENGTH, 550): + self.step() + + return self.compute_cost() + + +def get_available_controllers(): + return [f.stem for f in Path('controllers').iterdir() if f.is_file() and f.suffix == '.py' and f.stem != '__init__'] + + +def run_rollout(data_paths, controller_type, model_path, debug=False): + if not isinstance(data_paths, list): + data_paths = [data_paths] + tinyphysicsmodel = TinyPhysicsModel(model_path, debug=debug) + controllers = [importlib.import_module(f'controllers.{controller_type}').Controller() for _ in range(len(data_paths))] + sim = TinyPhysicsSimulator(tinyphysicsmodel, [str(x) for x in data_paths], controllers=controllers) + return sim.rollout(), sim.target_lataccel_histories, sim.current_lataccel_histories + + +if __name__ == "__main__": + available_controllers = get_available_controllers() + parser = argparse.ArgumentParser() + parser.add_argument("--model_path", type=str, required=True) + parser.add_argument("--data_path", type=str, required=True) + parser.add_argument("--num_segs", type=int, default=100) + parser.add_argument("--controller", default='pid', choices=available_controllers) + args = parser.parse_args() + + data_path = Path(args.data_path) + if data_path.is_file(): + cost, _, _ = run_rollout(data_path, args.controller, args.model_path) + print(f"\nAverage lataccel_cost: {cost[0]['lataccel_cost']:>6.4}, average jerk_cost: {cost[0]['jerk_cost']:>6.4}, average total_cost: {cost[0]['total_cost']:>6.4}") + elif data_path.is_dir(): + files = sorted(data_path.iterdir())[:args.num_segs] + costs = [] + for i in tqdm(range(0, args.num_segs, MAX_BATCH_SIZE)): + costs += run_rollout(files[i: min(i + MAX_BATCH_SIZE, args.num_segs)], args.controller, args.model_path)[0] + costs_df = pd.DataFrame(costs) + print(f"\nAverage lataccel_cost: {np.mean(costs_df['lataccel_cost']):>6.4}, average jerk_cost: {np.mean(costs_df['jerk_cost']):>6.4}, average total_cost: {np.mean(costs_df['total_cost']):>6.4}") \ No newline at end of file From 4e27acee12ab8b75b68fafd5872a2025dad9128c Mon Sep 17 00:00:00 2001 From: RisaK Date: Fri, 23 Aug 2024 22:56:53 -0400 Subject: [PATCH 06/21] optimize sampling --- performance_exp.ipynb | 103 ++++++++++++++++++++++++++++++++++++++---- tinyphysics_sim.py | 11 ++--- 2 files changed, 100 insertions(+), 14 deletions(-) diff --git a/performance_exp.ipynb b/performance_exp.ipynb index 219c74de..4fa46df5 100644 --- a/performance_exp.ipynb +++ b/performance_exp.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 34, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -100,7 +100,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -111,27 +111,114 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "9.04 ms ± 8.61 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" + "9.03 ms ± 161 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ - "%timeit [rng.choice(1024, p = probs[i]) for i in range(probs.shape[0])]" + "%timeit [rng.choice(1024, p = probs[i]) for i in range(512)]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.98 ms ± 105 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" + ] + } + ], + "source": [ + "%timeit (probs.cumsum(axis=1) > np.random.rand(probs.shape[0])[:,None]).argmax(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [], + "source": [ + "rng = np.random.default_rng()" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.48010414, 0.09573354])" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rng.random(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "ps = np.random.rand(512, 1024)\n", + "ps /= ps.sum(axis=1, keepdims=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "a = np.array([np.random.choice(1024, p=p) for p in ps])" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [], + "source": [ + "b = (ps.cumsum(axis=1) > np.random.rand(ps.shape[0])[:, np.newaxis]).argmax(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.allclose(a, b)" + ] } ], "metadata": { @@ -150,7 +237,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.4" + "version": "3.10.12" } }, "nbformat": 4, diff --git a/tinyphysics_sim.py b/tinyphysics_sim.py index 74371172..8418cd2c 100644 --- a/tinyphysics_sim.py +++ b/tinyphysics_sim.py @@ -64,17 +64,17 @@ def softmax(self, x, axis=-1): e_x = np.exp(x - np.max(x, axis=axis, keepdims=True)) return e_x / np.sum(e_x, axis=axis, keepdims=True) - def predict(self, input_data: dict, random_generators: List[np.random.RandomState], temperature=1.) -> np.ndarray: + def predict(self, input_data: dict, rng: np.random.Generator, temperature=1.) -> np.ndarray: res = self.ort_session.run(None, input_data)[0] # we only care about the last timestep probs = self.softmax(res[:, -1] / temperature, axis=-1) assert probs.shape[0] <= MAX_BATCH_SIZE assert probs.shape[1] == VOCAB_SIZE - samples = np.array([rand.choice(VOCAB_SIZE, p=prob) for prob, rand in zip(probs, random_generators)]) + samples = (probs.cumsum(axis=1) > rng.random(probs.shape[0])[:, np.newaxis]).argmax(axis=1) # Inverse transform sampling return samples - def get_current_lataccel(self, batch_sim_states: List[List[State]], batch_actions: List[List[float]], batch_past_preds: List[np.ndarray], random_generators: List[np.random.RandomState]) -> np.ndarray: + def get_current_lataccel(self, batch_sim_states: List[List[State]], batch_actions: List[List[float]], batch_past_preds: List[np.ndarray], rng: np.random.Generator) -> np.ndarray: batch_tokenized_actions = self.tokenizer.encode(np.array(batch_past_preds)).T # (CONTEXT_LENGTH, BATCH_SIZE) batch_raw_states = [[list(x) for x in sim_states] for sim_states in batch_sim_states] # (CONTEXT_LENGTH, BATCH_SIZE, 3) @@ -88,7 +88,7 @@ def get_current_lataccel(self, batch_sim_states: List[List[State]], batch_action 'states': np.array(batch_states).astype(np.float32), 'tokens': batch_tokenized_actions.astype(np.int64) } - return self.tokenizer.decode(self.predict(input_data, random_generators, temperature=0.8)) + return self.tokenizer.decode(self.predict(input_data, rng, temperature=0.8)) class TinyPhysicsSimulator: @@ -113,8 +113,7 @@ def reset(self) -> None: self.target_lataccel_histories = [np.array([x[1] for x in e]) for e in batch_state_target_futureplans] self.target_future = None self.current_lataccel = self.current_lataccel_histories[-1] - seeds = [int(md5(data_path.encode()).hexdigest(), 16) % 10**4 for data_path in self.data_paths] - self.random_generators = [np.random.RandomState(seed) for seed in seeds] + self.rng = np.random.default_rng() def get_data(self, data_path: str) -> Dict[str, np.ndarray]: df = pd.read_csv(data_path) From 441e145ec02fa286745b6a1ed698789ccef9e58b Mon Sep 17 00:00:00 2001 From: RisaK Date: Sat, 24 Aug 2024 02:59:56 +0000 Subject: [PATCH 07/21] fix typo, profile --- profile256.out | Bin 500801 -> 499310 bytes tinyphysics_sim.py | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/profile256.out b/profile256.out index e86deaa931cdd28c8b2508f55a690974a2766985..b5f2b5576dc6f03cfda874e42073d2ca1b4b3379 100644 GIT binary patch literal 499310 zcmc$Hbzqap^Ec8$so=$}xV99ELjtt8yA%j%nm&D~q&!J!3wOA?%i->DxVsYN}JTzFWeBN_Y-)d)-TAQi;dDp zn~Z+Vw7PIUTHjQ!6{7iQ&aa|xpdl(sTZi}48KO;sA=0SPg=-@t_0gQ(ua`c$mtQ0w z;un)(3O7Vo^!4}mGx8>Vxfrc3Ld)rmelgnUP^}Sd1-)OWDIo^G3eg(%zA*{rQmIm< 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z9_K#6!_*4CN{B+3EgIg0oX(q-1 diff --git a/tinyphysics_sim.py b/tinyphysics_sim.py index 8418cd2c..89b69af1 100644 --- a/tinyphysics_sim.py +++ b/tinyphysics_sim.py @@ -131,7 +131,7 @@ def sim_step(self, step_idx: int) -> None: batch_sim_states=self.state_histories[-CONTEXT_LENGTH:], batch_actions=self.action_histories[-CONTEXT_LENGTH:], batch_past_preds=self.current_lataccel_histories[-CONTEXT_LENGTH:], - random_generators=self.random_generators + rng=self.rng ) preds = np.clip(preds, self.current_lataccel - MAX_ACC_DELTA, self.current_lataccel + MAX_ACC_DELTA) if step_idx >= CONTROL_START_IDX: From cbebe3973b49c92d11b44a18b0d25efd20ebe1b7 Mon Sep 17 00:00:00 2001 From: RisaK Date: Sat, 24 Aug 2024 23:09:20 -0400 Subject: [PATCH 08/21] batch sim --- controllers/pid.py | 8 +++- tinyphysics_sim.py | 96 +++++++++++++++++++++------------------------- 2 files changed, 49 insertions(+), 55 deletions(-) diff --git a/controllers/pid.py b/controllers/pid.py index 6da40a46..1a071ceb 100644 --- a/controllers/pid.py +++ b/controllers/pid.py @@ -9,10 +9,14 @@ def __init__(self,): self.p = 0.3 self.i = 0.05 self.d = -0.1 - self.error_integral = 0 - self.prev_error = 0 + self.error_integral = None + self.prev_error = None def update(self, target_lataccel, current_lataccel, state, future_plan): + if not self.error_integral: + self.error_integral = np.zeros_like(target_lataccel) + self.prev_error = np.zeros_like(target_lataccel) + error = (target_lataccel - current_lataccel) self.error_integral += error error_diff = error - self.prev_error diff --git a/tinyphysics_sim.py b/tinyphysics_sim.py index 89b69af1..4a0faa8c 100644 --- a/tinyphysics_sim.py +++ b/tinyphysics_sim.py @@ -25,6 +25,7 @@ DEL_T = 0.1 LAT_ACCEL_COST_MULTIPLIER = 50.0 MAX_BATCH_SIZE=256 +MAX_EPISODE_SIZE=550 # Force fixed length episodes FUTURE_PLAN_STEPS = FPS * 5 # 5 secs @@ -74,81 +75,73 @@ def predict(self, input_data: dict, rng: np.random.Generator, temperature=1.) -> samples = (probs.cumsum(axis=1) > rng.random(probs.shape[0])[:, np.newaxis]).argmax(axis=1) # Inverse transform sampling return samples - def get_current_lataccel(self, batch_sim_states: List[List[State]], batch_actions: List[List[float]], batch_past_preds: List[np.ndarray], rng: np.random.Generator) -> np.ndarray: - batch_tokenized_actions = self.tokenizer.encode(np.array(batch_past_preds)).T # (CONTEXT_LENGTH, BATCH_SIZE) - batch_raw_states = [[list(x) for x in sim_states] for sim_states in batch_sim_states] # (CONTEXT_LENGTH, BATCH_SIZE, 3) - - batch_actions = np.transpose(batch_actions) - batch_raw_states = np.transpose(batch_raw_states, (1, 0, 2)) - - batch_states = np.concatenate((batch_actions[:, :, np.newaxis], batch_raw_states), axis=2) - # batch_states = [np.column_stack([actions, raw_states]) for actions, raw_states in zip(batch_actions, batch_raw_states)] + def get_current_lataccel(self, sim_states: np.ndarray, actions: np.ndarray, past_preds: np.ndarray, rng: np.random.Generator) -> np.ndarray: + tokenized_actions = self.tokenizer.encode(past_preds) + batch_states = np.concatenate((actions[:, :, np.newaxis], sim_states), axis=2) input_data = { - 'states': np.array(batch_states).astype(np.float32), - 'tokens': batch_tokenized_actions.astype(np.int64) + 'states': batch_states.astype(np.float32), + 'tokens': tokenized_actions.astype(np.int64) } return self.tokenizer.decode(self.predict(input_data, rng, temperature=0.8)) class TinyPhysicsSimulator: - def __init__(self, model: TinyPhysicsModel, data_paths: Union[str, List[str]], controllers: List[BaseController]) -> None: + def __init__(self, model: TinyPhysicsModel, data_paths: Union[str, List[str]], controller: BaseController) -> None: if isinstance(data_paths, str): data_paths = [data_paths] if len(data_paths) > MAX_BATCH_SIZE: raise ValueError(f"batch size must be smaller than {MAX_BATCH_SIZE}") self.data_paths = data_paths + self.batch_size = len(data_paths) self.sim_model = model - self.data = list(map(self.get_data, data_paths)) - self.controllers = controllers - self.is_batch_control = isinstance(controllers, BaseController) and len(data_paths) > 1 + self.get_data(data_paths) + self.controller = controller self.reset() def reset(self) -> None: self.step_idx = CONTEXT_LENGTH - batch_state_target_futureplans = [self.get_state_target_futureplan(i) for i in range(self.step_idx)] - self.state_histories = [[x[0] for x in e] for e in batch_state_target_futureplans] - self.action_histories = np.transpose([d['steer_command'][:self.step_idx] for d in self.data]).tolist() - self.current_lataccel_histories = [np.array([x[1] for x in e]) for e in batch_state_target_futureplans] - self.target_lataccel_histories = [np.array([x[1] for x in e]) for e in batch_state_target_futureplans] - self.target_future = None - self.current_lataccel = self.current_lataccel_histories[-1] + self.current_lataccel_histories = self.target_lataccel_histories.copy() + self.current_lataccel = self.current_lataccel_histories[:, self.step_idx - 1] + self.futureplan = None self.rng = np.random.default_rng() - def get_data(self, data_path: str) -> Dict[str, np.ndarray]: - df = pd.read_csv(data_path) - data = { - 'roll_lataccel': np.sin(df['roll'].to_numpy()) * ACC_G, - 'v_ego': df['vEgo'].to_numpy(), - 'a_ego': df['aEgo'].to_numpy(), - 'target_lataccel': df['targetLateralAcceleration'].to_numpy(), - 'steer_command': -df['steerCommand'].to_numpy() # steer commands are logged with left-positive convention but this simulator uses right-positive - } - return data + def get_data(self, data_paths: str) -> Dict[str, np.ndarray]: + df = [pd.read_csv(p) for p in data_paths] + self.state_histories = np.array([np.column_stack([np.sin(d['roll'].to_numpy())[:MAX_EPISODE_SIZE] * ACC_G, + d['vEgo'].to_numpy()[:MAX_EPISODE_SIZE], + d['aEgo'].to_numpy()[:MAX_EPISODE_SIZE]]) for d in df]) + self.target_lataccel_histories = np.array([d['targetLateralAcceleration'].to_numpy()[:MAX_EPISODE_SIZE] for d in df]) + self.action_histories = np.array([-d['steerCommand'].to_numpy()[:MAX_EPISODE_SIZE] for d in df]) # steer commands are logged with left-positive convention but this simulator uses right-positive def sim_step(self, step_idx: int) -> None: preds = self.sim_model.get_current_lataccel( - batch_sim_states=self.state_histories[-CONTEXT_LENGTH:], - batch_actions=self.action_histories[-CONTEXT_LENGTH:], - batch_past_preds=self.current_lataccel_histories[-CONTEXT_LENGTH:], + sim_states=self.state_histories[:, step_idx - CONTEXT_LENGTH + 1: step_idx + 1], + actions=self.action_histories[:, step_idx - CONTEXT_LENGTH + 1: step_idx + 1], + past_preds=self.current_lataccel_histories[:, step_idx - CONTEXT_LENGTH: step_idx], rng=self.rng ) preds = np.clip(preds, self.current_lataccel - MAX_ACC_DELTA, self.current_lataccel + MAX_ACC_DELTA) if step_idx >= CONTROL_START_IDX: self.current_lataccel = preds else: - self.current_lataccel = self.target_lataccel_histories[-1] + self.current_lataccel = self.target_lataccel_histories[:, step_idx] - self.current_lataccel_histories.append(self.current_lataccel) + self.current_lataccel_histories[:, step_idx] = self.current_lataccel def control_step(self, step_idx: int) -> None: - actions = [controller.update(self.target_lataccel_histories[step_idx][i], self.current_lataccel[i], self.state_histories[step_idx][i], future_plan=self.futureplan[i]) for i, controller in enumerate(self.controllers)] + actions = self.controller.update(self.target_lataccel_histories[:, step_idx], self.current_lataccel, self.state_histories[:, step_idx], future_plan=self.futureplan) if step_idx < CONTROL_START_IDX: - actions = [d['steer_command'][step_idx] for d in self.data] - actions = np.clip(actions, STEER_RANGE[0], STEER_RANGE[1]).tolist() - self.action_histories.append(actions) + actions = self.action_histories[:, step_idx] + actions = np.clip(actions, STEER_RANGE[0], STEER_RANGE[1]) + self.action_histories[:, step_idx] = actions + + def get_future_plan(self, step_idx: int) -> List[Tuple[State, float, FuturePlan]]: + self.futureplan[:, :, 0] = self.target_lataccel_histories[:, step_idx + 1: step_idx + FUTURE_PLAN_STEPS + 1] - def get_state_target_futureplan(self, step_idx: int) -> List[Tuple[State, float, FuturePlan]]: + return np.concatenate([self.target_lataccel_histories[:, step_idx + 1: step_idx + FUTURE_PLAN_STEPS, np.newaxis], + self.state_histories[:, step_idx + 1: step_idx + FUTURE_PLAN_STEPS]], axis=2) + # Off by one error return [( State(roll_lataccel=d['roll_lataccel'][step_idx], v_ego=d['v_ego'][step_idx], a_ego=d['a_ego'][step_idx]), d['target_lataccel'][step_idx], @@ -161,10 +154,7 @@ def get_state_target_futureplan(self, step_idx: int) -> List[Tuple[State, float, ) for d in self.data] def step(self) -> None: - batch_state_target_futureplan = self.get_state_target_futureplan(self.step_idx) - self.state_histories.append([x[0] for x in batch_state_target_futureplan]) - self.target_lataccel_histories.append(np.array([x[1] for x in batch_state_target_futureplan])) - self.futureplan = [x[2] for x in batch_state_target_futureplan] + self.futureplan = self.get_future_plan(self.step_idx) self.control_step(self.step_idx) self.sim_step(self.step_idx) self.step_idx += 1 @@ -180,16 +170,16 @@ def plot_data(self, ax, lines, axis_labels, title) -> None: ax.set_ylabel(axis_labels[1]) def compute_cost(self) -> List[Dict[str, float]]: - target = np.array(self.target_lataccel_histories)[CONTROL_START_IDX:COST_END_IDX] - pred = np.array(self.current_lataccel_histories)[CONTROL_START_IDX:COST_END_IDX] + target = np.array(self.target_lataccel_histories)[:, CONTROL_START_IDX:COST_END_IDX] + pred = np.array(self.current_lataccel_histories)[:, CONTROL_START_IDX:COST_END_IDX] - lat_accel_costs = np.mean((target - pred)**2, axis=0) * 100 - jerk_costs = np.mean((np.diff(pred, axis=0) / DEL_T)**2, axis=0) * 100 + lat_accel_costs = np.mean((target - pred)**2, axis=1) * 100 + jerk_costs = np.mean((np.diff(pred, axis=1) / DEL_T)**2, axis=1) * 100 total_costs = (lat_accel_costs * LAT_ACCEL_COST_MULTIPLIER) + jerk_costs return [{'lataccel_cost': lat_accel_cost, 'jerk_cost': jerk_cost, 'total_cost': total_cost} for lat_accel_cost, jerk_cost, total_cost in zip(lat_accel_costs, jerk_costs, total_costs)] def rollout(self) -> List[Dict[str, float]]: - for _ in range(CONTEXT_LENGTH, 550): + for _ in range(CONTEXT_LENGTH, MAX_EPISODE_SIZE): self.step() return self.compute_cost() @@ -203,8 +193,8 @@ def run_rollout(data_paths, controller_type, model_path, debug=False): if not isinstance(data_paths, list): data_paths = [data_paths] tinyphysicsmodel = TinyPhysicsModel(model_path, debug=debug) - controllers = [importlib.import_module(f'controllers.{controller_type}').Controller() for _ in range(len(data_paths))] - sim = TinyPhysicsSimulator(tinyphysicsmodel, [str(x) for x in data_paths], controllers=controllers) + controller = importlib.import_module(f'controllers.{controller_type}').Controller() + sim = TinyPhysicsSimulator(tinyphysicsmodel, [str(x) for x in data_paths], controller=controller) return sim.rollout(), sim.target_lataccel_histories, sim.current_lataccel_histories From f55aa1c7c35ae334679b9b8b123a4d0b2bb43bd4 Mon Sep 17 00:00:00 2001 From: RisaK Date: Sun, 25 Aug 2024 03:12:40 +0000 Subject: [PATCH 09/21] fix typo, profile --- controllers/pid.py | 2 +- profile256.out | Bin 499310 -> 500056 bytes tinyphysics_sim.py | 4 +--- 3 files changed, 2 insertions(+), 4 deletions(-) diff --git a/controllers/pid.py b/controllers/pid.py index 1a071ceb..57dc184e 100644 --- a/controllers/pid.py +++ b/controllers/pid.py @@ -13,7 +13,7 @@ def __init__(self,): self.prev_error = None def update(self, target_lataccel, current_lataccel, state, future_plan): - if not self.error_integral: + if self.error_integral is None: self.error_integral = np.zeros_like(target_lataccel) self.prev_error = 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zOgf1ZKG^x?D_akZ;Ipf!G~tdf7w4onD&1nR8sxti`b$5;V2662-CIy8Fsw~4uB#S1 zJ89?fduUko;R1Gaa`&y+$V_B--W8L4$_|ySgpG;E?fTYop6{VyJh@(j`so$#xp?GM zCsg2a>q|Dxny~dHGE-?|6s5au2-x%of#PI z=ZM$#Nr9=Kx2b5DH7%e8K%+Kq3=;40B*hSMcP(A2Ed7q`FC2eG?SD!%X@ g=>8c}QftNzLw=AOJo$Zu##uIY#*4sGez3OwAI9X3y8r+H diff --git a/tinyphysics_sim.py b/tinyphysics_sim.py index 04cdcaab..118ae0d1 100644 --- a/tinyphysics_sim.py +++ b/tinyphysics_sim.py @@ -214,6 +214,6 @@ def run_rollout(data_paths, controller_type, model_path, debug=False): print(f"\nAverage lataccel_cost: {cost[0]['lataccel_cost']:>6.4}, average jerk_cost: {cost[0]['jerk_cost']:>6.4}, average total_cost: {cost[0]['total_cost']:>6.4}") elif data_path.is_dir(): files = sorted(data_path.iterdir())[:args.num_segs] - costs = run_rollout([str(f) for f in files], args.controller, args.model_path)[0] + costs = run_rollout([str(f) for f in files], args.controller, args.model_path) costs_df = pd.DataFrame(costs) print(f"\nAverage lataccel_cost: {np.mean(costs_df['lataccel_cost']):>6.4}, average jerk_cost: {np.mean(costs_df['jerk_cost']):>6.4}, average total_cost: {np.mean(costs_df['total_cost']):>6.4}") \ No newline at end of file From 2b6d18e512a7d87911aeb9b3b3b420f08aecc9de Mon Sep 17 00:00:00 2001 From: RisaK Date: Mon, 26 Aug 2024 11:00:52 -0400 Subject: [PATCH 12/21] wip controller --- PPO_control/ActorCritic.py | 83 +++++++++++++ PPO_control/ExperienceBuffer.py | 111 ++++++++++++++++++ PPO_control/PPO_Loss.py | 91 ++++++++++++++ PPO_control/experiment.ipynb | 63 ++++++++++ .../tinyphysics_sim.py | 108 ++++++++--------- PPO_control/train.py | 59 ++++++++++ controllers/ppo.py | 44 +++++++ 7 files changed, 500 insertions(+), 59 deletions(-) create mode 100644 PPO_control/ActorCritic.py create mode 100644 PPO_control/ExperienceBuffer.py create mode 100644 PPO_control/PPO_Loss.py create mode 100644 PPO_control/experiment.ipynb rename tinyphysics_sim.py => PPO_control/tinyphysics_sim.py (66%) create mode 100644 PPO_control/train.py create mode 100644 controllers/ppo.py diff --git a/PPO_control/ActorCritic.py b/PPO_control/ActorCritic.py new file mode 100644 index 00000000..5b358144 --- /dev/null +++ b/PPO_control/ActorCritic.py @@ -0,0 +1,83 @@ +import logging +from typing import Tuple, List, Union + +import torch +import torch.nn as nn +import numpy as np + +logger = logging.getLogger(__name__) + +class ActorCritic(nn.Module): + def __init__(self, obs_dim: int, target_dim: int, action_dim: int, has_continuous_action: bool): + super().__init__() + self.obs_dim = obs_dim + self.target_dim = target_dim + self.action_dim = action_dim + self.has_continuous_action = has_continuous_action + self.rng = np.random.default_rng() + + self.feature_lstm = nn.LSTM(input_size=self.obs_dim, hidden_size=32, batch_first=True) + + + if self.has_continuous_action: + self.actor = nn.Sequential( + nn.Linear(32 + self.target_dim, 64), + nn.Tanh(), + nn.Linear(64, 64), + nn.Tanh(), + nn.Linear(64, self.action_dim), + nn.Tanh() + ) + else: + self.actor = nn.Sequential( + nn.Linear(32 + self.target_dim, 64), + nn.Tanh(), + nn.Linear(64, 64), + nn.Tanh(), + nn.Linear(64, self.action_dim), + nn.Softmax(dim=-1) + ) + + self.critic = nn.Sequential( + nn.Linear(32 + self.target_dim, 64), + nn.Tanh(), + nn.Linear(64, 64), + nn.Tanh(), + nn.Linear(64, 1) + ) + + # Init all hidden layer weight to orthogonal weight with scale sqrt(2), bias to 2 + # Init value output layer weight with scale 1, policy output layer with scale 0.01 + for param in self.named_parameters(): + if param[0].endswith('weight'): + nn.init.orthogonal_(param[1], gain=np.sqrt(2)) + elif param[0].endswith('bias'): + nn.init.zeros_(param[1]) + nn.init.orthogonal_(list(self.critic.parameters())[-2], gain=1) + nn.init.orthogonal_(list(self.actor.parameters())[-2], gain=0.01) + + def set_std(self, std: float): + self.std = std + if not self.has_continuous_action: + logger.warning("Trying to set standard deviation for discrete action space.") + + def forward(self, past_obs, target): + condition = self.feature_lstm(past_obs)[:, -1] + x = torch.hstack([condition, target]) + action_logit = self.actor(x) + value = self.critic(x.detach()) + + return action_logit, value + + def act(self, past_obs: torch.Tensor, target: torch.Tensor) -> Tuple[List[Union[int, float]], torch.Tensor, torch.Tensor]: + with torch.no_grad(): + self.eval() + action_logit, value = self.forward(past_obs, target) + action_logit = action_logit.cpu().numpy() + + # Discrete case + action = (action_logit.cumsum(axis=1) > self.rng.random(action_logit.shape[0])[:, np.newaxis]).argmax(axis=1) # Inverse transform sampling + action_prob = action_logit[np.arange(len(action)), action] + + return action, action_prob, value.cpu().flatten().numpy() + diff --git a/PPO_control/ExperienceBuffer.py b/PPO_control/ExperienceBuffer.py new file mode 100644 index 00000000..0496f56a --- /dev/null +++ b/PPO_control/ExperienceBuffer.py @@ -0,0 +1,111 @@ +import logging +from typing import Union, List, Tuple + +import torch +from torch.utils.data import Dataset +import numpy as np + +from PPO_Loss import calculate_value_target_vec, generalized_advantage_estimation_vec + +logger = logging.getLogger(__name__) + +class PPOExperienceBuffer(Dataset): + def __init__(self, discount_factor: float=0.99, td_decay: float=0.9) -> None: + super().__init__() + self.actions = [] + self.observations = [] + self.targets = [] + self.samples = torch.zeros((0, 4)) + self.discount_factor = discount_factor + self.td_decay = td_decay + + def __len__(self) -> int: + return self.samples.shape[0] + + def __getitem__(self, idx) -> Tuple[Union[int, float], torch.Tensor, torch.Tensor, torch.Tensor]: + return self.actions[idx], self.observations[idx], self.targets[idx], self.samples[idx] + + + def add_trajectory(self, observation: List[torch.Tensor], action: List[Union[int, float]], action_p: List[float], reward: List[Union[int, float]], value_estimate: List[float]) -> None: + """ + Add a trajectory to the buffer. + + Args: + action (episode_len): List of actions taken during the episode. + action_p (episode_len): List of action probabilities corresponding to each action. + reward (episode_len): List of rewards received for each step. + value_estimate (episode_len+1): List of value estimates, including the estimate for the final state. + + Raises: + ValueError: If input lengths are inconsistent with the episode length. + + Note: + The length of value_estimate should be one more than the other inputs to include the final state estimate. + """ + + episode_len = len(action) + + if len(action_p) != episode_len: + raise ValueError(f'action_p length mismatch. episode length: {episode_len}, action_p length: {len(action_p) }') + if len(reward) != episode_len: + raise ValueError(f'reward length mismatch. episode length: {episode_len}, reward length: {len(reward)}') + if len(value_estimate) != episode_len + 1: + raise ValueError(f'value_estimate length mismatch. expected length: {episode_len + 1}, actual length: {len(value_estimate)}') + + self.actions += action + self.observations += observation + action_p = torch.tensor(action_p) + reward = torch.tensor(reward) + value_estimate = torch.tensor(value_estimate) + + value_target = calculate_value_target_vec(reward.unsqueeze(0), value_estimate.unsqueeze(0), self.discount_factor).squeeze() + gae = generalized_advantage_estimation_vec(reward.unsqueeze(0), value_estimate.unsqueeze(0), self.discount_factor, self.td_decay).squeeze() + + trajectory = torch.column_stack([action_p, value_estimate[:-1], value_target, gae]) + self.samples = torch.vstack([self.samples, trajectory]) + + + def batch_add_trajectory(self, observation: List[torch.Tensor], target: List[torch.Tensor], action: List[torch.Tensor], action_p: List[torch.Tensor], reward: List[torch.Tensor], value_estimate: List[torch.Tensor]) -> None: + """ + Add a batch of trajectories to the buffer. + + Args: + observation (episode_len, batch_size): List of batch observation at each time step + target (episode_len, batch_size): List of batch target at each time step + action (episode_len, batch_size): List of batch actions taken during the episode. + action_p (episode_len, batch_size): List of batch action probabilities corresponding to each action. + reward (episode_len, batch_size): List of batch rewards received for each step. + value_estimate (episode_len+1, batch_size): List of batch value estimates, including the estimate for the final state. + + Raises: + ValueError: If input lengths are inconsistent with the episode length. + + Note: + The length of value_estimate should be one more than the other inputs to include the final state estimate. + """ + + episode_len = len(action) + + if len(action_p) != episode_len: + raise ValueError(f'action_p length mismatch. episode length: {episode_len}, action_p length: {len(action_p) }') + if len(reward) != episode_len: + raise ValueError(f'reward length mismatch. episode length: {episode_len}, reward length: {len(reward)}') + if len(value_estimate) != episode_len + 1: + raise ValueError(f'value_estimate length mismatch. expected length: {episode_len + 1}, actual length: {len(value_estimate)}') + + self.actions += [action[t][i] for i in range(len(action[0])) for t in range(len(action))] + self.observations += [observation[t][i] for i in range(len(observation[0])) for t in range(len(observation))] + self.targets += [] #TODO + action_p = torch.tensor(action_p).T + reward = torch.tensor(reward).T + value_estimate = torch.tensor(value_estimate).T + + value_target = calculate_value_target_vec(reward, value_estimate, self.discount_factor) + gae = generalized_advantage_estimation_vec(reward, value_estimate, self.discount_factor, self.td_decay) + + batch_trajectory = torch.cat([action_p.unsqueeze(2), value_estimate[:, :-1].unsqueeze(2), value_target.unsqueeze(2), gae.unsqueeze(2)], dim=2) + self.samples = torch.vstack([self.samples, batch_trajectory.flatten(0, 1)]) + + def reset(self): + self.actions = [] + self.samples = torch.tensor([[]]) \ No newline at end of file diff --git a/PPO_control/PPO_Loss.py b/PPO_control/PPO_Loss.py new file mode 100644 index 00000000..bff0aeb8 --- /dev/null +++ b/PPO_control/PPO_Loss.py @@ -0,0 +1,91 @@ +from typing import Tuple + +import torch + +def ppo_loss(action_p: torch.Tensor, action_p_old: torch.Tensor, advantage: torch.Tensor, value: torch.Tensor, value_target: torch.Tensor, clip_eps: float, c1: float, c2: float) -> Tuple[torch.Tensor, float, float, float]: + eps = 1e-8 if action_p.dtype is torch.float else 1e-6 + r = action_p / (action_p_old + eps) + L_clip = torch.mean(torch.min(r * advantage, torch.clip(r, 1 - clip_eps, 1 + clip_eps) * advantage)) + L_value = torch.mean((value - value_target) ** 2) + L_entropy = torch.mean(-torch.log(action_p)) + + return -L_clip + c1 * L_value - c2 * L_entropy, L_clip.item(), L_value.item(), L_entropy.item() + +def generalized_advantage_estimation(reward: torch.Tensor, value: torch.Tensor, discount_factor: float, decay: float) -> torch.Tensor: + ''' + reward: batched rewards for each time step (batch_size, T) + value: batched value estimation for each time step plus last state (batch_size, T+1) + ''' + eps = 1e-8 if reward.dtype is torch.float else 1e-6 + + advantage = torch.zeros_like(reward) + last_adv = 0 + for t in reversed(range(reward.shape[1])): + delta = reward[:, t] + discount_factor * value[:, t + 1] - value[:, t] + advantage[:, t] = delta + discount_factor * decay * last_adv + last_adv = advantage[:, t] + + # Normalize across batch + advantage = (advantage - advantage.mean()) / (advantage.std() + eps) + + return advantage + +def calculate_value_target(reward: torch.Tensor, value: torch.Tensor, discount_factor: float) -> torch.Tensor: + ''' + reward: batched rewards for each time step (batch_size, T) + value: batched value estimation for each time step plus last state (batch_size, T+1) + ''' + eps = 1e-8 if reward.dtype is torch.float else 1e-6 + + v_target = torch.zeros_like(reward) + last_reward = value[:, -1] + for t in reversed(range(reward.shape[1])): + v_target[:, t] = reward[:, t] + discount_factor * last_reward + last_reward = v_target[:, t] + + v_target = (v_target - v_target.mean()) / (v_target.std() + eps) + + return v_target + +def calculate_value_target_vec(reward: torch.Tensor, value: torch.Tensor, discount_factor: float) -> torch.Tensor: + ''' + reward: batched rewards for each time step (batch_size, T) + value: batched value estimation for each time step plus last state (batch_size, T+1) + ''' + T = reward.shape[1] + eps = 1e-8 if reward.dtype is torch.float else 1e-6 + + # Calculate discounted sum of rewards + discount_factors = discount_factor ** torch.arange(T, dtype=torch.float32, device=reward.device) + future_discounted_rewards = torch.cumsum((reward * discount_factors.unsqueeze(0)).flip(1), dim=1).flip(1) + v_target = future_discounted_rewards / discount_factors + + # Add the discounted final value estimate + v_target = v_target + torch.outer(value[:, -1], (discount_factor * discount_factors).flip(0)) + + v_target = (v_target - v_target.mean()) / (v_target.std() + eps) + + return v_target + +def generalized_advantage_estimation_vec(reward: torch.Tensor, value: torch.Tensor, discount_factor: float, decay: float) -> torch.Tensor: + ''' + reward: batched rewards for each time step (batch_size, T) + value: batched value estimation for each time step plus last state (batch_size, T+1) + ''' + T = reward.shape[1] + eps = 1e-8 if reward.dtype is torch.float else 1e-6 + + # Calculate delta + delta = reward + discount_factor * value[:, 1:] - value[:, :-1] + + # Calculate discount factors + discount_factors = (discount_factor * decay) ** torch.arange(T, dtype=torch.float32, device=reward.device) + + # Calculate advantages + advantage = torch.cumsum((delta * discount_factors.unsqueeze(0)).flip(1), dim=1).flip(1) + advantage = advantage / discount_factors.unsqueeze(0) + + # Normalize across batch + advantage = (advantage - advantage.mean()) / (advantage.std() + eps) + + return advantage \ No newline at end of file diff --git a/PPO_control/experiment.ipynb b/PPO_control/experiment.ipynb new file mode 100644 index 00000000..f10872b1 --- /dev/null +++ b/PPO_control/experiment.ipynb @@ -0,0 +1,63 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import os\n", + "sys.path.insert(1, os.path.abspath('..') )\n", + "\n", + "import torch\n", + "import torch.nn as nn\n", + "import torch.optim as optim\n", + "import numpy as np\n", + "\n", + "from PPO_Loss import *\n", + "from ActorCritic import ActorCritic\n", + "from ExperienceBuffer import PPOExperienceBuffer\n", + "from train import train_combined_actorcritic\n", + "from controllers import BaseController\n", + "\n", + "from typing import Tuple, Callable" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "class PPO_Controller(BaseController):\n", + " def __init__(self) -> None:\n", + " super().__init__()\n", + "\n", + " def update(self, target_lataccel, current_lataccel, state, future_plan):\n", + " ..." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/tinyphysics_sim.py b/PPO_control/tinyphysics_sim.py similarity index 66% rename from tinyphysics_sim.py rename to PPO_control/tinyphysics_sim.py index 118ae0d1..fd822611 100644 --- a/tinyphysics_sim.py +++ b/PPO_control/tinyphysics_sim.py @@ -1,14 +1,13 @@ -import argparse import importlib import numpy as np import onnxruntime as ort import pandas as pd from collections import namedtuple -from hashlib import md5 from pathlib import Path -from typing import List, Union, Tuple, Dict +from typing import List, Union, Tuple, Dict, Callable from tqdm import tqdm +import random from controllers import BaseController @@ -25,7 +24,7 @@ DEL_T = 0.1 LAT_ACCEL_COST_MULTIPLIER = 50.0 MAX_BATCH_SIZE=256 -MAX_EPISODE_SIZE=550 # Force fixed length episodes +MAX_EPISODE_SIZE=450 # Force fixed length episodes FUTURE_PLAN_STEPS = FPS * 5 # 5 secs @@ -53,8 +52,6 @@ class TinyPhysicsModel: def __init__(self, model_path: str, debug: bool) -> None: self.tokenizer = LataccelTokenizer() options = ort.SessionOptions() - # options.intra_op_num_threads = 1 - # options.inter_op_num_threads = 1 options.log_severity_level = 3 provider = 'CUDAExecutionProvider' @@ -87,13 +84,14 @@ def get_current_lataccel(self, sim_states: np.ndarray, actions: np.ndarray, past class TinyPhysicsSimulator: - def __init__(self, model: TinyPhysicsModel, data_paths: Union[str, List[str]], controller: BaseController) -> None: + def __init__(self, model: TinyPhysicsModel, data_paths: Union[str, List[str]], controller: BaseController, episode_len: int=MAX_EPISODE_SIZE) -> None: if isinstance(data_paths, str): data_paths = [data_paths] if len(data_paths) > MAX_BATCH_SIZE: raise ValueError(f"batch size must be smaller than {MAX_BATCH_SIZE}") self.data_paths = data_paths self.batch_size = len(data_paths) + self.terminate_step = CONTROL_START_IDX + episode_len self.sim_model = model self.get_data(data_paths) self.controller = controller @@ -106,13 +104,13 @@ def reset(self) -> None: self.futureplan = None self.rng = np.random.default_rng() - def get_data(self, data_paths: str) -> Dict[str, np.ndarray]: + def get_data(self, data_paths: str) -> None: df = [pd.read_csv(p) for p in data_paths] - self.state_histories = np.array([np.column_stack([np.sin(d['roll'].to_numpy())[:MAX_EPISODE_SIZE] * ACC_G, - d['vEgo'].to_numpy()[:MAX_EPISODE_SIZE], - d['aEgo'].to_numpy()[:MAX_EPISODE_SIZE]]) for d in df]) - self.target_lataccel_histories = np.array([d['targetLateralAcceleration'].to_numpy()[:MAX_EPISODE_SIZE] for d in df]) - self.action_histories = np.array([-d['steerCommand'].to_numpy()[:MAX_EPISODE_SIZE] for d in df]) # steer commands are logged with left-positive convention but this simulator uses right-positive + self.state_histories = np.array([np.column_stack([np.sin(d['roll'].to_numpy())[:self.terminate_step] * ACC_G, + d['vEgo'].to_numpy()[:self.terminate_step], + d['aEgo'].to_numpy()[:self.terminate_step]]) for d in df]) + self.target_lataccel_histories = np.array([d['targetLateralAcceleration'].to_numpy()[:self.terminate_step] for d in df]) + self.action_histories = np.array([-d['steerCommand'].to_numpy()[:self.terminate_step] for d in df]) # steer commands are logged with left-positive convention but this simulator uses right-positive def sim_step(self, step_idx: int) -> None: preds = self.sim_model.get_current_lataccel( @@ -139,17 +137,6 @@ def control_step(self, step_idx: int) -> None: def get_future_plan(self, step_idx: int) -> np.ndarray: return np.concatenate([self.target_lataccel_histories[:, step_idx + 1: step_idx + FUTURE_PLAN_STEPS, np.newaxis], self.state_histories[:, step_idx + 1: step_idx + FUTURE_PLAN_STEPS]], axis=2) - # Off by one error - return [( - State(roll_lataccel=d['roll_lataccel'][step_idx], v_ego=d['v_ego'][step_idx], a_ego=d['a_ego'][step_idx]), - d['target_lataccel'][step_idx], - FuturePlan( - lataccel=d['target_lataccel'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS], - roll_lataccel=d['roll_lataccel'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS], - v_ego=d['v_ego'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS], - a_ego=d['a_ego'][step_idx + 1:step_idx + FUTURE_PLAN_STEPS] - ) - ) for d in self.data] def step(self) -> None: self.futureplan = self.get_future_plan(self.step_idx) @@ -157,36 +144,25 @@ def step(self) -> None: self.sim_step(self.step_idx) self.step_idx += 1 - def plot_data(self, ax, lines, axis_labels, title) -> None: - ax.clear() - for line, label in lines: - ax.plot(line, label=label) - ax.axline((CONTROL_START_IDX, 0), (CONTROL_START_IDX, 1), color='black', linestyle='--', alpha=0.5, label='Control Start') - ax.legend() - ax.set_title(f"{title} | Step: {self.step_idx}") - ax.set_xlabel(axis_labels[0]) - ax.set_ylabel(axis_labels[1]) - def compute_cost(self) -> List[Dict[str, float]]: - target = np.array(self.target_lataccel_histories)[:, CONTROL_START_IDX:COST_END_IDX] - pred = np.array(self.current_lataccel_histories)[:, CONTROL_START_IDX:COST_END_IDX] + target = self.target_lataccel_histories[:, CONTROL_START_IDX:] + pred = self.current_lataccel_histories[:, CONTROL_START_IDX:] lat_accel_costs = np.mean((target - pred)**2, axis=1) * 100 jerk_costs = np.mean((np.diff(pred, axis=1) / DEL_T)**2, axis=1) * 100 total_costs = (lat_accel_costs * LAT_ACCEL_COST_MULTIPLIER) + jerk_costs - return [{'lataccel_cost': lat_accel_cost, 'jerk_cost': jerk_cost, 'total_cost': total_cost} for lat_accel_cost, jerk_cost, total_cost in zip(lat_accel_costs, jerk_costs, total_costs)] + + return lat_accel_costs.mean(), jerk_costs.mean(), total_costs.mean() def rollout(self) -> List[Dict[str, float]]: - for _ in range(CONTEXT_LENGTH, MAX_EPISODE_SIZE): + for _ in range(CONTEXT_LENGTH, self.terminate_step): self.step() return self.compute_cost() - def get_available_controllers(): return [f.stem for f in Path('controllers').iterdir() if f.is_file() and f.suffix == '.py' and f.stem != '__init__'] - def run_rollout(data_paths, controller_type, model_path, debug=False): if not isinstance(data_paths, list): data_paths = [data_paths] @@ -198,22 +174,36 @@ def run_rollout(data_paths, controller_type, model_path, debug=False): costs += sim.rollout() return costs - -if __name__ == "__main__": - available_controllers = get_available_controllers() - parser = argparse.ArgumentParser() - parser.add_argument("--model_path", type=str, required=True) - parser.add_argument("--data_path", type=str, required=True) - parser.add_argument("--num_segs", type=int, default=100) - parser.add_argument("--controller", default='pid', choices=available_controllers) - args = parser.parse_args() - - data_path = Path(args.data_path) - if data_path.is_file(): - cost, _, _ = run_rollout(data_path, args.controller, args.model_path) - print(f"\nAverage lataccel_cost: {cost[0]['lataccel_cost']:>6.4}, average jerk_cost: {cost[0]['jerk_cost']:>6.4}, average total_cost: {cost[0]['total_cost']:>6.4}") - elif data_path.is_dir(): - files = sorted(data_path.iterdir())[:args.num_segs] - costs = run_rollout([str(f) for f in files], args.controller, args.model_path) - costs_df = pd.DataFrame(costs) - print(f"\nAverage lataccel_cost: {np.mean(costs_df['lataccel_cost']):>6.4}, average jerk_cost: {np.mean(costs_df['jerk_cost']):>6.4}, average total_cost: {np.mean(costs_df['total_cost']):>6.4}") \ No newline at end of file +def episode_rollout(model: TinyPhysicsModel, data_path: str, n_episode: int, episode_len: int, controller: BaseController, path_boundary: float, skip_first: int=5000): + data_path = Path(data_path) + if not data_path.is_dir(): + raise ValueError('data_path is not a directory') + files = sorted(data_path.iterdir())[skip_first:] + files = random.sample(files, n_episode) + sim = TinyPhysicsSimulator(model, [str(f) for f in files], controller=controller, episode_len=episode_len) + lat_cost, jerk_cost, total_cost = sim.rollout() + + # Calculate rewards + deviation = np.abs(sim.target_lataccel_histories[:, CONTROL_START_IDX:] - sim.current_lataccel_histories[:, CONTROL_START_IDX:]) + rewards = 1 - deviation / path_boundary + rewards[rewards < 0] = -1 + + +# if __name__ == "__main__": +# available_controllers = get_available_controllers() +# parser = argparse.ArgumentParser() +# parser.add_argument("--model_path", type=str, required=True) +# parser.add_argument("--data_path", type=str, required=True) +# parser.add_argument("--num_segs", type=int, default=100) +# parser.add_argument("--controller", default='pid', choices=available_controllers) +# args = parser.parse_args() + +# data_path = Path(args.data_path) +# if data_path.is_file(): +# cost, _, _ = run_rollout(data_path, args.controller, args.model_path) +# print(f"\nAverage lataccel_cost: {cost[0]['lataccel_cost']:>6.4}, average jerk_cost: {cost[0]['jerk_cost']:>6.4}, average total_cost: {cost[0]['total_cost']:>6.4}") +# elif data_path.is_dir(): +# files = sorted(data_path.iterdir())[:args.num_segs] +# costs = run_rollout([str(f) for f in files], args.controller, args.model_path) +# costs_df = pd.DataFrame(costs) +# print(f"\nAverage lataccel_cost: {np.mean(costs_df['lataccel_cost']):>6.4}, average jerk_cost: {np.mean(costs_df['jerk_cost']):>6.4}, average total_cost: {np.mean(costs_df['total_cost']):>6.4}") \ No newline at end of file diff --git a/PPO_control/train.py b/PPO_control/train.py new file mode 100644 index 00000000..0695498b --- /dev/null +++ b/PPO_control/train.py @@ -0,0 +1,59 @@ +import torch +import torch.optim as optim +from torch.utils.data import DataLoader +import numpy as np +from PPO_Loss import ppo_loss +from ActorCritic import ActorCritic + +from typing import Callable + +def train_combined_actorcritic(policy_model: ActorCritic, optimizer: optim.Optimizer, run_rollout: Callable, n_steps: int, n_episode: int, n_epoch: int, batch_size: int, clip_eps: float, c1: float, c2: float, device: torch.device): + score_history = [] + total_loss_history = [] + actor_obj_history = [] + critic_loss_history = [] + entropy_obj_history = [] + + for i_step in range(n_steps): + buffer, average_score = run_rollout(policy_model, n_episode, device) + + # Record policy's performance at each step + score_history.append(average_score) + + data_loader = DataLoader(buffer, batch_size=batch_size, shuffle=True, num_workers=8, pin_memory=True) + for i_epoch in range(n_epoch): + print(f'Training step {i_step:>3}, epoch {i_epoch:>3}: average_score: {average_score: .1f}', end='') + + epoch_total_loss_history = [] + epoch_actor_obj_history = [] + epoch_critic_loss_history = [] + epoch_entropy_obj_history = [] + + for i_batch, data in enumerate(data_loader): + actions, observations, transitions = data + actions = actions.type(torch.int) + observations = observations.to(device) + + optimizer.zero_grad() + + action_prob_new, value_estimates = policy_model(observations) + action_prob_new = action_prob_new.cpu()[torch.arange(actions.shape[0]), actions] + value_estimates = value_estimates.cpu().flatten() + + loss, actor_obj, critic_loss, entropy_obj = ppo_loss(action_prob_new, transitions[:, 0], transitions[:, 3], value_estimates, transitions[:, 2], clip_eps, c1, c2) + loss.backward() + optimizer.step() + + epoch_total_loss_history.append(loss.item()) + epoch_actor_obj_history.append(actor_obj) + epoch_critic_loss_history.append(critic_loss) + epoch_entropy_obj_history.append(entropy_obj) + + total_loss_history.append(np.mean(epoch_total_loss_history)) + actor_obj_history.append(np.mean(epoch_actor_obj_history)) + critic_loss_history.append(np.mean(epoch_critic_loss_history)) + entropy_obj_history.append(np.mean(epoch_entropy_obj_history)) + + print(f' total_loss: {total_loss_history[-1]: 0.3f}, actor_obj: {actor_obj_history[-1]: 0.3f}, critic_loss: {critic_loss_history[-1]: 0.3f}, entropy_obj: {entropy_obj_history[-1]: 0.3f}') + + return score_history, total_loss_history, actor_obj_history, critic_loss_history, entropy_obj_history diff --git a/controllers/ppo.py b/controllers/ppo.py new file mode 100644 index 00000000..9118a10e --- /dev/null +++ b/controllers/ppo.py @@ -0,0 +1,44 @@ +from . import BaseController +import numpy as np +import torch +from PPO_control.ActorCritic import ActorCritic + +STEER_RANGE = [-2, 2] +ACTION_DIM = 81 + +class Controller(BaseController): + def __init__(self, policy_model: ActorCritic, device: torch.device) -> None: + super().__init__() + self.device = device + self.policy_model = policy_model + self.concat_state_history = [] + + # For training + self.observation_history = [] + self.target_history = [] + self.action_history = [] + self.action_prob_history = [] + self.value_history = [] + + def update(self, target_lataccel, current_lataccel, state, future_plan): + steer = np.zeros_like(target_lataccel) + + if self.concat_state_history: + self.concat_state_history[-1][:, :, -1] = current_lataccel[:, np.newaxis] + past_obs = np.concatenate(self.concat_state_history[-self.policy_model.seq_len:], axis=1) + target = np.column_stack([state, target_lataccel]) + past_obs = torch.from_numpy(past_obs).to(self.device) + target = torch.from_numpy(target).to(self.device) + + action, action_prob, value = self.policy_model.act(past_obs, target) + steer = STEER_RANGE[0] + action * (STEER_RANGE[1] - STEER_RANGE[0]) / (ACTION_DIM - 1) + + self.observation_history.append(past_obs.cpu()) + self.target_history.append(target.cpu()) + self.action_history.append(action) + self.action_prob_history.append(action_prob) + self.value_history.append(value) + + self.concat_state_history.append(np.column_stack([state, steer, np.zeros_like(steer)])[:, np.newaxis]) + + return action From a2d5098980b99b497cd3c0e1c5ba8a959d0e2143 Mon Sep 17 00:00:00 2001 From: RisaK Date: Thu, 29 Aug 2024 02:36:40 +0000 Subject: [PATCH 13/21] cont action space wip --- .gitignore | 5 +- PPO_control/ActorCritic.py | 67 ++-- PPO_control/ExperienceBuffer.py | 79 ++--- PPO_control/PPO_Loss.py | 27 +- PPO_control/experiment.ipynb | 289 +++++++++++++++++- .../hyperparamenters/config0827-1.json | 15 + .../hyperparamenters/config0827-2.json | 15 + PPO_control/profile_sim.out | Bin 0 -> 1034051 bytes PPO_control/sim_profile.py | 85 ++++++ PPO_control/tinyphysics_sim.py | 45 +-- PPO_control/train.py | 194 ++++++++++-- controllers/ppo.py | 35 ++- 12 files changed, 688 insertions(+), 168 deletions(-) create mode 100644 PPO_control/hyperparamenters/config0827-1.json create mode 100644 PPO_control/hyperparamenters/config0827-2.json create mode 100644 PPO_control/profile_sim.out create mode 100644 PPO_control/sim_profile.py diff --git a/.gitignore b/.gitignore index 9660c2e7..a597a8a0 100644 --- a/.gitignore +++ b/.gitignore @@ -3,4 +3,7 @@ data/ report.html models/tinyphysics_*.onnx venv/ -comma_steer_command/ \ No newline at end of file +comma_steer_command/ +PPO_control/checkpoints +PPO_control/results +PPO_control/training_logs \ No newline at end of file diff --git a/PPO_control/ActorCritic.py b/PPO_control/ActorCritic.py index 5b358144..c7825238 100644 --- a/PPO_control/ActorCritic.py +++ b/PPO_control/ActorCritic.py @@ -8,76 +8,95 @@ logger = logging.getLogger(__name__) class ActorCritic(nn.Module): - def __init__(self, obs_dim: int, target_dim: int, action_dim: int, has_continuous_action: bool): + def __init__(self, obs_dim: int, obs_seq_len: int, target_dim: int, action_dim: int, has_continuous_action: bool): super().__init__() self.obs_dim = obs_dim + self.obs_seq_len = obs_seq_len self.target_dim = target_dim self.action_dim = action_dim self.has_continuous_action = has_continuous_action self.rng = np.random.default_rng() - self.feature_lstm = nn.LSTM(input_size=self.obs_dim, hidden_size=32, batch_first=True) - + self.feature_lstm = nn.LSTM(input_size=self.obs_dim, hidden_size=16, num_layers=2, batch_first=True) if self.has_continuous_action: self.actor = nn.Sequential( - nn.Linear(32 + self.target_dim, 64), + nn.Linear(16 + self.target_dim, 128), + nn.Tanh(), + nn.Linear(128, 128), nn.Tanh(), - nn.Linear(64, 64), + nn.Linear(128, 128), nn.Tanh(), - nn.Linear(64, self.action_dim), + nn.Linear(128, self.action_dim), nn.Tanh() ) + self.log_std = nn.Parameter(torch.zeros((self.action_dim), dtype=torch.float32)) else: self.actor = nn.Sequential( - nn.Linear(32 + self.target_dim, 64), + nn.Linear(16 + self.target_dim, 128), + nn.Tanh(), + nn.Linear(128, 128), nn.Tanh(), - nn.Linear(64, 64), + nn.Linear(128, 128), nn.Tanh(), - nn.Linear(64, self.action_dim), + nn.Linear(128, self.action_dim), nn.Softmax(dim=-1) ) self.critic = nn.Sequential( - nn.Linear(32 + self.target_dim, 64), + nn.Linear(16 + self.target_dim, 128), nn.Tanh(), - nn.Linear(64, 64), + nn.Linear(128, 128), nn.Tanh(), - nn.Linear(64, 1) + nn.Linear(128, 128), + nn.Tanh(), + nn.Linear(128, 1) ) # Init all hidden layer weight to orthogonal weight with scale sqrt(2), bias to 2 # Init value output layer weight with scale 1, policy output layer with scale 0.01 for param in self.named_parameters(): if param[0].endswith('weight'): - nn.init.orthogonal_(param[1], gain=np.sqrt(2)) + if param[0].startswith('feature_lstm'): + nn.init.orthogonal_(param[1], gain=1) + else: + nn.init.orthogonal_(param[1], gain=np.sqrt(2)) elif param[0].endswith('bias'): nn.init.zeros_(param[1]) nn.init.orthogonal_(list(self.critic.parameters())[-2], gain=1) nn.init.orthogonal_(list(self.actor.parameters())[-2], gain=0.01) - - def set_std(self, std: float): - self.std = std - if not self.has_continuous_action: - logger.warning("Trying to set standard deviation for discrete action space.") def forward(self, past_obs, target): - condition = self.feature_lstm(past_obs)[:, -1] + condition, _ = self.feature_lstm(past_obs) + condition = condition[:, -1] x = torch.hstack([condition, target]) action_logit = self.actor(x) - value = self.critic(x.detach()) + value = self.critic(x) return action_logit, value - def act(self, past_obs: torch.Tensor, target: torch.Tensor) -> Tuple[List[Union[int, float]], torch.Tensor, torch.Tensor]: + def std(self, std: float): + if not self.has_continuous_action: + print("Trying to set std for discrete action space model.") + else: + self.std = std + + def act(self, past_obs: torch.Tensor, target: torch.Tensor, eval: bool=False) -> Tuple[np.ndarray, np.ndarray, np.ndarray]: with torch.no_grad(): self.eval() action_logit, value = self.forward(past_obs, target) action_logit = action_logit.cpu().numpy() - + + # Continuous case + if self.has_continuous_action: + # Discrete case - action = (action_logit.cumsum(axis=1) > self.rng.random(action_logit.shape[0])[:, np.newaxis]).argmax(axis=1) # Inverse transform sampling - action_prob = action_logit[np.arange(len(action)), action] + if eval: + action = action_logit.argmax(axis=1) + action_prob = action_logit[np.arange(len(action)), action] + else: + action = (action_logit.cumsum(axis=1) > self.rng.random(action_logit.shape[0])[:, np.newaxis]).argmax(axis=1) # Inverse transform sampling + action_prob = action_logit[np.arange(len(action)), action] return action, action_prob, value.cpu().flatten().numpy() diff --git a/PPO_control/ExperienceBuffer.py b/PPO_control/ExperienceBuffer.py index 0496f56a..e2a9c424 100644 --- a/PPO_control/ExperienceBuffer.py +++ b/PPO_control/ExperienceBuffer.py @@ -25,57 +25,17 @@ def __len__(self) -> int: def __getitem__(self, idx) -> Tuple[Union[int, float], torch.Tensor, torch.Tensor, torch.Tensor]: return self.actions[idx], self.observations[idx], self.targets[idx], self.samples[idx] - - def add_trajectory(self, observation: List[torch.Tensor], action: List[Union[int, float]], action_p: List[float], reward: List[Union[int, float]], value_estimate: List[float]) -> None: - """ - Add a trajectory to the buffer. - - Args: - action (episode_len): List of actions taken during the episode. - action_p (episode_len): List of action probabilities corresponding to each action. - reward (episode_len): List of rewards received for each step. - value_estimate (episode_len+1): List of value estimates, including the estimate for the final state. - - Raises: - ValueError: If input lengths are inconsistent with the episode length. - - Note: - The length of value_estimate should be one more than the other inputs to include the final state estimate. - """ - - episode_len = len(action) - - if len(action_p) != episode_len: - raise ValueError(f'action_p length mismatch. episode length: {episode_len}, action_p length: {len(action_p) }') - if len(reward) != episode_len: - raise ValueError(f'reward length mismatch. episode length: {episode_len}, reward length: {len(reward)}') - if len(value_estimate) != episode_len + 1: - raise ValueError(f'value_estimate length mismatch. expected length: {episode_len + 1}, actual length: {len(value_estimate)}') - - self.actions += action - self.observations += observation - action_p = torch.tensor(action_p) - reward = torch.tensor(reward) - value_estimate = torch.tensor(value_estimate) - - value_target = calculate_value_target_vec(reward.unsqueeze(0), value_estimate.unsqueeze(0), self.discount_factor).squeeze() - gae = generalized_advantage_estimation_vec(reward.unsqueeze(0), value_estimate.unsqueeze(0), self.discount_factor, self.td_decay).squeeze() - - trajectory = torch.column_stack([action_p, value_estimate[:-1], value_target, gae]) - self.samples = torch.vstack([self.samples, trajectory]) - - - def batch_add_trajectory(self, observation: List[torch.Tensor], target: List[torch.Tensor], action: List[torch.Tensor], action_p: List[torch.Tensor], reward: List[torch.Tensor], value_estimate: List[torch.Tensor]) -> None: + def batch_add_trajectory(self, observation: torch.Tensor, target: torch.Tensor, action: torch.Tensor, action_p: torch.Tensor, reward: torch.Tensor, value_estimate: torch.Tensor) -> None: """ Add a batch of trajectories to the buffer. Args: - observation (episode_len, batch_size): List of batch observation at each time step - target (episode_len, batch_size): List of batch target at each time step - action (episode_len, batch_size): List of batch actions taken during the episode. - action_p (episode_len, batch_size): List of batch action probabilities corresponding to each action. - reward (episode_len, batch_size): List of batch rewards received for each step. - value_estimate (episode_len+1, batch_size): List of batch value estimates, including the estimate for the final state. + observation (batch_size, episode_len): Batch observation at each time step + target (batch_size, episode_len): Batch target at each time step + action (batch_size, episode_len): Batch actions taken during the episode. + action_p (batch_size, episode_len): Batch action probabilities corresponding to each action. + reward (batch_size, episode_len): Batch rewards received for each step. + value_estimate (batch_size, episode_len+1): Batch value estimates, including the estimate for the final state. Raises: ValueError: If input lengths are inconsistent with the episode length. @@ -84,21 +44,18 @@ def batch_add_trajectory(self, observation: List[torch.Tensor], target: List[tor The length of value_estimate should be one more than the other inputs to include the final state estimate. """ - episode_len = len(action) + episode_len = action.shape[1] - if len(action_p) != episode_len: - raise ValueError(f'action_p length mismatch. episode length: {episode_len}, action_p length: {len(action_p) }') - if len(reward) != episode_len: - raise ValueError(f'reward length mismatch. episode length: {episode_len}, reward length: {len(reward)}') - if len(value_estimate) != episode_len + 1: + if action_p.shape[1] != episode_len: + raise ValueError(f'action_p length mismatch. episode length: {episode_len}, action_p length: {action_p.shape[1]}') + if reward.shape[1] != episode_len: + raise ValueError(f'reward length mismatch. episode length: {episode_len}, reward length: {reward.shape[1]}') + if value_estimate.shape[1] != episode_len + 1: raise ValueError(f'value_estimate length mismatch. expected length: {episode_len + 1}, actual length: {len(value_estimate)}') - self.actions += [action[t][i] for i in range(len(action[0])) for t in range(len(action))] - self.observations += [observation[t][i] for i in range(len(observation[0])) for t in range(len(observation))] - self.targets += [] #TODO - action_p = torch.tensor(action_p).T - reward = torch.tensor(reward).T - value_estimate = torch.tensor(value_estimate).T + self.actions += action.flatten().tolist() + self.observations += [x for x in observation.flatten(0, 1)] + self.targets += [x for x in target.flatten(0, 1)] value_target = calculate_value_target_vec(reward, value_estimate, self.discount_factor) gae = generalized_advantage_estimation_vec(reward, value_estimate, self.discount_factor, self.td_decay) @@ -108,4 +65,6 @@ def batch_add_trajectory(self, observation: List[torch.Tensor], target: List[tor def reset(self): self.actions = [] - self.samples = torch.tensor([[]]) \ No newline at end of file + self.observations = [] + self.targets = [] + self.samples = torch.zeros((0, 4)) \ No newline at end of file diff --git a/PPO_control/PPO_Loss.py b/PPO_control/PPO_Loss.py index bff0aeb8..62d22803 100644 --- a/PPO_control/PPO_Loss.py +++ b/PPO_control/PPO_Loss.py @@ -3,12 +3,29 @@ import torch def ppo_loss(action_p: torch.Tensor, action_p_old: torch.Tensor, advantage: torch.Tensor, value: torch.Tensor, value_target: torch.Tensor, clip_eps: float, c1: float, c2: float) -> Tuple[torch.Tensor, float, float, float]: - eps = 1e-8 if action_p.dtype is torch.float else 1e-6 + eps = 1e-6 r = action_p / (action_p_old + eps) L_clip = torch.mean(torch.min(r * advantage, torch.clip(r, 1 - clip_eps, 1 + clip_eps) * advantage)) L_value = torch.mean((value - value_target) ** 2) L_entropy = torch.mean(-torch.log(action_p)) + if torch.isnan(L_clip) or torch.isnan(L_value) or torch.isnan(L_entropy): + input_tensors = [ + ("action_p", action_p), + ("action_p_old", action_p_old), + ("advantage", advantage), + ("value", value), + ("value_target", value_target) + ] + + for name, tensor in input_tensors: + nan_mask = torch.isnan(tensor) + if nan_mask.any(): + nan_indices = torch.nonzero(nan_mask, as_tuple=False) + print(f"NaN detected in {name} at indices: {nan_indices.tolist()}") + + raise ValueError("Nan detected in loss function.") + return -L_clip + c1 * L_value - c2 * L_entropy, L_clip.item(), L_value.item(), L_entropy.item() def generalized_advantage_estimation(reward: torch.Tensor, value: torch.Tensor, discount_factor: float, decay: float) -> torch.Tensor: @@ -16,7 +33,7 @@ def generalized_advantage_estimation(reward: torch.Tensor, value: torch.Tensor, reward: batched rewards for each time step (batch_size, T) value: batched value estimation for each time step plus last state (batch_size, T+1) ''' - eps = 1e-8 if reward.dtype is torch.float else 1e-6 + eps = 1e-6 advantage = torch.zeros_like(reward) last_adv = 0 @@ -35,7 +52,7 @@ def calculate_value_target(reward: torch.Tensor, value: torch.Tensor, discount_f reward: batched rewards for each time step (batch_size, T) value: batched value estimation for each time step plus last state (batch_size, T+1) ''' - eps = 1e-8 if reward.dtype is torch.float else 1e-6 + eps = 1e-6 v_target = torch.zeros_like(reward) last_reward = value[:, -1] @@ -53,7 +70,7 @@ def calculate_value_target_vec(reward: torch.Tensor, value: torch.Tensor, discou value: batched value estimation for each time step plus last state (batch_size, T+1) ''' T = reward.shape[1] - eps = 1e-8 if reward.dtype is torch.float else 1e-6 + eps = 1e-6 # Calculate discounted sum of rewards discount_factors = discount_factor ** torch.arange(T, dtype=torch.float32, device=reward.device) @@ -73,7 +90,7 @@ def generalized_advantage_estimation_vec(reward: torch.Tensor, value: torch.Tens value: batched value estimation for each time step plus last state (batch_size, T+1) ''' T = reward.shape[1] - eps = 1e-8 if reward.dtype is torch.float else 1e-6 + eps = 1e-6 # Calculate delta delta = reward + discount_factor * value[:, 1:] - value[:, :-1] diff --git a/PPO_control/experiment.ipynb b/PPO_control/experiment.ipynb index f10872b1..5275d83b 100644 --- a/PPO_control/experiment.ipynb +++ b/PPO_control/experiment.ipynb @@ -8,34 +8,303 @@ "source": [ "import sys\n", "import os\n", + "from typing import Tuple, Callable, List\n", + "from pathlib import Path\n", + "import random\n", + "from functools import partial\n", "sys.path.insert(1, os.path.abspath('..') )\n", "\n", "import torch\n", "import torch.nn as nn\n", "import torch.optim as optim\n", + "from torch.utils.data import DataLoader\n", "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", "\n", "from PPO_Loss import *\n", "from ActorCritic import ActorCritic\n", "from ExperienceBuffer import PPOExperienceBuffer\n", - "from train import train_combined_actorcritic\n", - "from controllers import BaseController\n", + "from controllers import ppo\n", + "from tinyphysics_sim import TinyPhysicsModel, TinyPhysicsSimulator, CONTROL_START_IDX\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Simulator" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def episode_rollout(model: TinyPhysicsModel, data_paths: List[str], buffer: PPOExperienceBuffer, policy_model: ActorCritic, n_episode: int, episode_len: int, path_boundary: float, device: torch.device):\n", + " files = random.sample(data_paths, n_episode)\n", + " controller = ppo.Controller(policy_model, device)\n", + " sim = TinyPhysicsSimulator(model, files, controller=controller, episode_len=episode_len + 1)\n", + " lat_cost, jerk_cost, total_cost = sim.rollout()\n", + "\n", + " # Calculate rewards\n", + " deviation = np.abs(sim.target_lataccel_histories[:, CONTROL_START_IDX:] - sim.current_lataccel_histories[:, CONTROL_START_IDX:])\n", + " rewards = 1 - deviation / path_boundary\n", + " rewards[rewards < 0] = -1\n", + " rewards = torch.from_numpy(rewards)\n", + " if rewards.shape[1] != episode_len + 1:\n", + " print(f\"reward length doesn't match episode_len+1: rewards len:{len(rewards)}, episode_len+1:{episode_len+1}\") \n", + " return\n", + "\n", + " buffer.reset()\n", + " \n", + " # Leave the value of last step for future reward estimation\n", + " # Convert from list of episode_length of batch history to tensor of (batchsize, episode_len, ...)\n", + " observation_history = torch.cat([x[:, None] for x in controller.observation_history[-episode_len-1: -1]], dim=1)\n", + " target_history = torch.cat([x[:, None] for x in controller.target_history[-episode_len-1: -1]], dim=1)\n", + " action_history = torch.column_stack(controller.action_history[-episode_len-1: -1])\n", + " action_prob_history = torch.cat([x[:, None] for x in controller.action_prob_history[-episode_len-1: -1]], dim=1)\n", + " value_history = torch.column_stack(controller.value_history[-episode_len-1:])\n", + "\n", + " buffer.batch_add_trajectory(observation_history,\n", + " target_history,\n", + " action_history,\n", + " action_prob_history,\n", + " rewards[:, :-1],\n", + " value_history)\n", + "\n", + " return buffer, rewards, lat_cost, jerk_cost, total_cost" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Training loop" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def train(policy_model: ActorCritic, optimizer: optim.Optimizer, run_rollout: Callable, episode_len: int, path_boundary: float, n_steps: int, n_episode: int, n_epoch: int, batch_size: int, clip_eps: float, c1: float, c2: float, device: torch.device):\n", + " reward_history = []\n", + " lat_cost_history = []\n", + " jerk_cost_history = []\n", + "\n", + " total_loss_history = []\n", + " actor_obj_history = []\n", + " critic_loss_history = []\n", + " entropy_obj_history = []\n", + "\n", + " for i_step in range(n_steps):\n", + " # Run simulation\n", + " buffer, rewards, lat_cost, jerk_cost, total_cost = run_rollout(policy_model, n_episode, episode_len, path_boundary, device)\n", + " print(f'Training step {i_step:>3}: average_reward: {rewards.mean(): .4f}, lat_cost: {lat_cost: .2f}, jerk_cost: {jerk_cost: .2f}')\n", + " # Record policy's performance at each step\n", + " reward_history.append(rewards.mean().item())\n", + " lat_cost_history.append(lat_cost)\n", + " jerk_cost_history.append(jerk_cost)\n", + "\n", + " # Start training loops\n", + " data_loader = DataLoader(buffer, batch_size=batch_size, shuffle=True, num_workers=16, pin_memory=True)\n", + " policy_model.train()\n", + " for i_epoch in range(n_epoch):\n", + " print(f'Training step {i_step:>3}, epoch {i_epoch:>3}:', end='')\n", + "\n", + " epoch_total_loss_history = []\n", + " epoch_actor_obj_history = []\n", + " epoch_critic_loss_history = []\n", + " epoch_entropy_obj_history = []\n", + "\n", + " for i_batch, data in enumerate(data_loader):\n", + " actions, observations, targets, transitions = data\n", + " actions = actions.type(torch.int)\n", + " observations = observations.to(device)\n", + " targets = targets.to(device)\n", + " transitions = transitions.to(device)\n", "\n", - "from typing import Tuple, Callable" + " optimizer.zero_grad()\n", + "\n", + " action_prob_new, value_estimates = policy_model(observations, targets)\n", + " action_prob_new = action_prob_new[torch.arange(actions.shape[0]), actions]\n", + " value_estimates = value_estimates.flatten()\n", + "\n", + " loss, actor_obj, critic_loss, entropy_obj = ppo_loss(action_prob_new, transitions[:, 0], transitions[:, 3], value_estimates, transitions[:, 2], clip_eps, c1, c2)\n", + " loss.backward()\n", + " optimizer.step()\n", + "\n", + " epoch_total_loss_history.append(loss.item())\n", + " epoch_actor_obj_history.append(actor_obj)\n", + " epoch_critic_loss_history.append(critic_loss)\n", + " epoch_entropy_obj_history.append(entropy_obj)\n", + "\n", + " total_loss_history.append(np.mean(epoch_total_loss_history))\n", + " actor_obj_history.append(np.mean(epoch_actor_obj_history))\n", + " critic_loss_history.append(np.mean(epoch_critic_loss_history))\n", + " entropy_obj_history.append(np.mean(epoch_entropy_obj_history))\n", + "\n", + " print(f' total_loss: {total_loss_history[-1]: 0.3f}, actor_obj: {actor_obj_history[-1]: 0.3f}, critic_loss: {critic_loss_history[-1]: 0.3f}, entropy_obj: {entropy_obj_history[-1]: 0.3f}')\n", + " \n", + " if i_step % 10 == 9:\n", + " torch.save({\n", + " 'step': i_step,\n", + " 'model_state_dict': policy_model.state_dict(),\n", + " 'optimizer_state_dict': optimizer.state_dict(),\n", + " 'reward_history': reward_history,\n", + " 'lat_cost_history': lat_cost_history,\n", + " 'jerk_cost_history': jerk_cost_history,\n", + " 'total_loss_history': total_loss_history,\n", + " 'actor_obj_history': actor_obj_history,\n", + " 'critic_loss_history': critic_loss_history,\n", + " 'entropy_obj_history': entropy_obj_history\n", + " }, f'./checkpoints/exp1_step{i_step + 1}.pt')\n", + "\n", + " return reward_history, lat_cost_history, jerk_cost_history, total_loss_history, actor_obj_history, critic_loss_history, entropy_obj_history" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Setup and hyperparameters" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ - "class PPO_Controller(BaseController):\n", - " def __init__(self) -> None:\n", - " super().__init__()\n", + "device = torch.device('cuda')\n", + "tinyphysicsmodel = TinyPhysicsModel('../models/tinyphysics.onnx', debug=False)\n", + "policy_model = ActorCritic(obs_dim=3, obs_seq_len=10, target_dim=21, action_dim=ppo.ACTION_DIM, has_continuous_action=False).to(device)\n", + "data = Path('../data/')\n", + "data_paths = sorted(data.iterdir())[5000:]\n", + "data_paths = [str(x) for x in data_paths]\n", + "experience_buffer = PPOExperienceBuffer(discount_factor=0.94, td_decay=0.85)\n", "\n", - " def update(self, target_lataccel, current_lataccel, state, future_plan):\n", - " ..." + "n_episode = 256\n", + "episode_len = 300\n", + "path_boundary = 0.07\n", + "\n", + "optimizer = optim.Adam(policy_model.parameters(), lr=1.5e-4, eps=1e-6)\n", + "\n", + "batch_size = 1024\n", + "n_epoch = 3\n", + "n_step = 10\n", + "\n", + "c1 = 0.5\n", + "c2 = 0.01\n", + "clip_eps = 0.1\n", + "\n", + "sim_rollout = partial(episode_rollout, tinyphysicsmodel, data_paths, experience_buffer)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_2295731/796911351.py:5: FutureWarning: You are using `torch.load` with `weights_only=False` (the current default value), which uses the default pickle module implicitly. It is possible to construct malicious pickle data which will execute arbitrary code during unpickling (See https://github.com/pytorch/pytorch/blob/main/SECURITY.md#untrusted-models for more details). In a future release, the default value for `weights_only` will be flipped to `True`. This limits the functions that could be executed during unpickling. Arbitrary objects will no longer be allowed to be loaded via this mode unless they are explicitly allowlisted by the user via `torch.serialization.add_safe_globals`. We recommend you start setting `weights_only=True` for any use case where you don't have full control of the loaded file. Please open an issue on GitHub for any issues related to this experimental feature.\n", + " policy_params = torch.load('checkpoints/exp0827-2_step2990.pt')['model_state_dict']\n" + ] + } + ], + "source": [ + "df = pd.read_csv('../data/00110.csv')\n", + "device = torch.device('cuda')\n", + "tinyphysicsmodel = TinyPhysicsModel('../models/tinyphysics.onnx', debug=False)\n", + "policy_model = ActorCritic(obs_dim=4, obs_seq_len=10, target_dim=31, action_dim=ppo.ACTION_DIM, has_continuous_action=False).to(device)\n", + "policy_params = torch.load('checkpoints/exp0827-2_step2990.pt')['model_state_dict']\n", + "policy_model.load_state_dict(policy_params)\n", + "controller = ppo.Controller(policy_model, device, eval=True)\n", + "sim = TinyPhysicsSimulator(tinyphysicsmodel, [df], controller=controller, episode_len=450)\n", + "lat_cost, jerk_cost, total_cost = sim.rollout()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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8uZCbm9vrPCeeeKLw3HPPyZ9HjhwpzJ8/XzXP5ZdfLlx44YWqaVdeeaVq2Weffbbw+9//XjXP66+/LpSXl8ufAQjvvfden+2Odz6JCy+8UPjlL38pf549e7bwi1/8QjXPww8/LJx77rmqaYcOHRIACDU1NfLvpk+f3uf63nnnHaGwsFD+HM9+3rdvn2AwGIS2tjZBEAThvffeE6qrqwWe5wVBEISamhoBgLBq1aqov7/nnnuE6upqwe/3R/1+9OjRwv/93/+ppj388MPCqaeeKgiCINTV1QkAhK1bt8rfpXp/jBw5UvjjH/8oCIIgfPLJJwLLskJjY6P8/a5duwQAwsaNGwVBEIT7779fsFqtgsPhkOe58847hVmzZsVsi/aaJQiCIAhiaPNx3cfCC1tfELa1bkt3UwRB6F0bKMkoi9icOXN6da975ZVXov5m69atvS731ltvxa233jrQ5sWFgWXws7PGpGRd0dY9UJxOJx544AF8+OGHOHr0KILBIDweDxobG1XznXzyyarPNTU1WLBggWrazJkz8cEHH8ift2/fjnXr1qksFRzHwev1wu12w2q1Drj90jJ///vf4+2330ZTUxP8fj98Pl+fy9++fTs+//zzqNaZAwcO4IQTTgAAzJgxI+L7Tz/9FI8++ij27t0Lh8OBYDCY8Ha9/PLLmDdvHoqKigAAF1xwAa677jp89tlnOPvss7Ft2zawLIvZs2dH/f22bdtwxhlnwGAwRHzncrlw4MABXHfddbjhhhvk6cFgELm5uVGXl+79sWfPHlRWVqqylk6cOBF5eXnYs2cPTjnlFACiO2N2drY8T3l5edILthMEQRAEkT54gQcA6JmMkjaZ5Zp4LMAwzIDdA9PJr371K6xatQpPPvkkxowZA4vFgksvvRR+v181X1ZWVsLLdjqdePDBB/GDH/wg4rtkFtZ94okn8Mwzz2Dp0qVynNLtt98esQ3R2nfxxRfjsccei/iuvLxcfq/d9vr6elx00UW4+eab8cgjj6CgoABfffUVrrvuOvj9/riEB8dxePXVV9Hc3Ay9Xq+a/vLLL+Pss8+GxWLpdRm9fS/FZ7300kuYNWuW6rtYLqDp3B+JoBWeDMOA5/mkroMgCIIgiPTBCRwAQMdkVvoLEmJEQqxbtw6LFy+WrVtOp1NOZNEb48aNw6ZNm1TTtJ9POukk1NTUYMyY2BZDg8EAjuMSb7iCdevW4ZJLLsFVV10FQIw12rdvHyZOnCjPYzQaI9Zz0kkn4V//+heqqqpUYqgvNm/eDJ7n8dRTT0GnE28Qb7/9dkJtXrFiBXp6erB161aVMNq5cyeuueYadHd3Y/LkyeB5HmvXro0oZA4AU6ZMwauvvopAIBAhTkpLS1FRUYGDBw/iyiuvjKtNg7k/ou1/LRMmTMChQ4dw6NAh2Sq2e/dudHd3q44lQRAEQRDHNpJFLNOEWGa1lkg7Y8eOxbvvvott27Zh+/bt+PGPfxyXdeHnP/85VqxYgaeffhr79+/HX/7yF3z00UdgmLB18L777sNrr72GBx98ELt27cKePXvw5ptv4t5775XnqaqqwurVq9Hc3Iyurq5e1yklc1G+XC4Xxo4di1WrVuF///sf9uzZg5/+9KcRJQyqqqrw9ddfo76+Hu3t7eB5Hj/72c/Q2dmJK664Aps2bcKBAwfw8ccf45prrulVNIwZMwaBQADPPfccDh48iNdffx0vvvhin/tMybJly3DhhRdi6tSpmDRpkvy67LLLkJeXhzfeeANVVVW4+uqrce211+Lf//436urqsGbNGlnk3HrrrXA4HFi4cCG++eYb7N+/H6+//rqcEOPBBx/Eo48+imeffRb79u3Djh07sHz5cjz99NNR2zSY+6OqqgpOpxOrV69Ge3s73G53xHLmzp2LyZMn48orr8SWLVuwceNGLFq0CLNnz45wjSUIgiAI4tglyIuJx1imf4nc0gUJMSIhnn76aeTn5+O0007DxRdfjHnz5uGkk07q83enn346XnzxRTz99NOYOnUqVq5ciTvuuEPlcjhv3jx88MEH+OSTT3DKKafgO9/5Dv74xz9i5MiR8jxPPfUUVq1ahcrKSkyfPr3XdS5ZsgTTp09XvbZu3Yp7770XJ510EubNm4c5c+agrKwM8+fPV/32V7/6FViWxcSJE1FcXIzGxkZUVFRg3bp14DgO5557LiZPnozbb78deXl5smUnGlOnTsXTTz+Nxx57DJMmTcIbb7yBRx99tM99JtHS0oIPP/wQP/zhDyO+0+l0WLBggZyi/s9//jMuvfRS3HLLLRg/fjxuuOEGuFwuAEBhYSE+++wzOJ1OzJ49GzNmzMBLL70kW8euv/56/O1vf8Py5csxefJkzJ49G6+88gqqq6ujtmsw98dpp52Gm266CZdffjmKi4vx+OOPRyyHYRj85z//QX5+Ps4880zMnTsXo0aNwltvvRXfjiUIgiAI4phAsoixuswSYozQW/YLIi4cDgdyc3Nht9uRk5Oj+s7r9aKurg7V1dVJjXM6Frjhhhuwd+9efPnll+luCkHI0DVLEARBEJnF2zVvo93TjotGXYQROSP6/sEg05s2UEIxYkTKePLJJ3HOOecgKysLH330EV599dWE62gRBEEQBEEQhJJMjREjIUakjI0bN+Lxxx9HT08PRo0ahWeffRbXX399uptFEARBEARBZDBS1sRMixEjIUakjEQzBRIEQRAEQRBEX3B8Zqavz6zWEgRBEARBEARBKMjUZB0kxAiCIAiCIAiCyFgy1TWRhBhBEARBEARBEBmLJMTINZEgCIIgCIIgCCJFkEWMIAiCIAiCIAgihQiCAKksMsWIEQRBEARBEARBpADJGgaQRYwgUgLDMPj3v/+d7mYklUzYpjlz5uD2229P2/ofeOABTJs2LW3rJwiCIAhiaKEUYhQjRhxTrF+/HizL4sILL0z4t1VVVVi6dGnyGxUHixcvxvz58/v9+1deeQV5eXlJa08yGcgxySSiCdNf/epXWL16dXoaRBAEQRDEkEOqIQaQRYw4xli2bBl+/vOf44svvsCRI0fS3ZyMg+M48Dyf1GVm8jEZ6P6w2WwoLCxMYosIgiAIgshkpBpiOkYHhmHS3JrEICGWagQBCPrT8woFMsaL0+nEW2+9hZtvvhkXXnghXnnllYh5/vvf/+KUU06B2WxGUVERFixYAEB0YWtoaMAdd9wBhmHkCyOaa9nSpUtRVVUlf960aRPOOeccFBUVITc3F7Nnz8aWLVsSantfPP3005g8eTKysrJQWVmJW265BU6nEwCwZs0aXHPNNbDb7XLbH3jgAQCAz+fDr371KwwbNgxZWVmYNWsW1qxZIy9XsqS9//77mDhxIkwmExobG5O2TQM5JlL77777blRWVsJkMmHMmDFYtmyZ/P3OnTtx/vnnw2azobS0FD/5yU/Q3t4esz2DtT+k82HBggVgGEb+rD1/eJ7HQw89hOHDh8NkMmHatGlYuXKl/H19fT0YhsG7776Ls846C1arFVOnTsX69evj3OMEQRAEQQxlMjVjIgDo092A4w4uAHz5VHrWfcYvAb0x7tnffvttjB8/HuPGjcNVV12F22+/Hffcc48sqj788EMsWLAAv/nNb/Daa6/B7/djxYoVAIB3330XU6dOxY033ogbbrghoWb29PTg6quvxnPPPQdBEPDUU0/hggsuwP79+5GdnZ3QsmKh0+nw7LPPorq6GgcPHsQtt9yCu+66C3/6059w2mmnYenSpbjvvvtQU1MDQLTEAMCtt96K3bt3480330RFRQXee+89nHfeedixYwfGjh0LAHC73Xjsscfwt7/9DYWFhSgpKcHBgweTsk0DOSYAsGjRIqxfvx7PPvsspk6dirq6OllodXd343vf+x6uv/56/PGPf4TH48Hdd9+Nyy67DJ999lnU9gzW/ti0aRNKSkqwfPlynHfeeWDZ6DfXZ555Bk899RT+8pe/YPr06Xj55Zfx/e9/H7t27ZLXDwC/+c1v8OSTT2Ls2LH4zW9+gyuuuAK1tbXQ6+kWSBAEQRCZTKbWEANIiBG9sGzZMlx11VUAgPPOOw92ux1r167FnDlzAACPPPIIFi5ciAcffFD+zdSpUwEABQUFYFkW2dnZKCsrS2i93/ve91Sf//rXvyIvLw9r167FRRddNIAtCqNMOFFVVYXf/e53uOmmm/CnP/0JRqMRubm5YBhG1fbGxkYsX74cjY2NqKioACDGLK1cuRLLly/H73//ewBAIBDAn/70J3lfJHObBnJM9u3bh7fffhurVq3C3LlzAQCjRo2S53v++ecxffp0eTsA4OWXX0ZlZSX27duHE044QdWWwdwfxcXFAIC8vLxez58nn3wSd999NxYuXAgAeOyxx/D5559j6dKleOGFF+T5fvWrX8kxdQ8++CBOPPFE1NbWYvz48TGXTRAEQRDE0EdyTSSLGNE3rEG0TKVr3XFSU1ODjRs34r333gMA6PV6XH755Vi2bJnc6d+2bVvC1q54aGlpwb333os1a9agtbUVHMfB7XajsbExaev49NNP8eijj2Lv3r1wOBwIBoPwer1wu92wWq1Rf7Njxw5wHBchSHw+nypuyWg0YsqUKUnfpoEek23btoFlWcyePTvq99u3b8fnn38uW/+UHDhwIGK7070/HA4Hjhw5gtNPP101/fTTT8f27dtV05TrLy8vBwC0traSECMIgiCIDEdK1pFpNcQAEmKph2EScg9MF8uWLUMwGJQtHYBYMM9kMuH5559Hbm4uLBZLwsvV6XRy0T2JQCCg+nz11Vejo6MDzzzzDEaOHAmTyYRTTz0Vfr+/fxujob6+HhdddBFuvvlmPPLIIygoKMBXX32F6667Dn6/P6YQczqdYFkWmzdvjnCVU4oXi8USESyajG0a6DHp63g5nU5cfPHFeOyxxyK+k8SLdv507o9EMBjCgxBSW5KdRIUgCIIgiNSjTNaRaZAQIyIIBoN47bXX8NRTT+Hcc89VfTd//nz84x//wE033YQpU6Zg9erVuOaaa6Iux2g0guM41bTi4mI0NzdDEAS5Q7xt2zbVPOvWrcOf/vQnXHDBBQCAQ4cO9ZowIlE2b94Mnufx1FNPQacTL9q33367z7ZPnz4dHMehtbUVZ5xxRkLrHOg2JeOYTJ48GTzPY+3atbJropKTTjoJ//rXv1BVVRVX7NRg7w+DwRBxDJTk5OSgoqIC69atU1n51q1bh5kzZybUHoIgCIIgMhNK1kEcU3zwwQfo6urCddddh9zcXNV3P/zhD7Fs2TLcdNNNuP/++3H22Wdj9OjRWLhwIYLBIFasWIG7774bgBh79cUXX2DhwoUwmUwoKirCnDlz0NbWhscffxyXXnopVq5ciY8++gg5OTnyOsaOHYvXX38dJ598MhwOB+68885+Wd/sdnuEyCssLMSYMWMQCATw3HPP4eKLL8a6devw4osvquarqqqC0+nE6tWrMXXqVFitVpxwwgm48sorsWjRIjz11FOYPn062trasHr1akyZMqXXul4D3aZkHJOqqipcffXVuPbaa+VkHQ0NDWhtbcVll12Gn/3sZ3jppZdwxRVX4K677kJBQQFqa2vx5ptv4m9/+1uE1Wuw90dVVRVWr16N008/HSaTCfn5+RHLufPOO3H//fdj9OjRmDZtGpYvX45t27bhjTfeiHvfEgRBEASRuWRyso7MazEx6Cxbtgxz586N6PADYqf/m2++wbfffos5c+bgnXfewfvvv49p06bhe9/7HjZu3CjP+9BDD6G+vh6jR4+Wky9MmDABf/rTn/DCCy9g6tSp2LhxI371q19FrL+rqwsnnXQSfvKTn+C2225DSUlJwtuxZs0aTJ8+XfV68MEHMXXqVDz99NN47LHHMGnSJLzxxht49NFHVb897bTTcNNNN+Hyyy9HcXExHn/8cQDA8uXLsWjRIvzyl7/EuHHjMH/+fGzatAkjRozoc58OZJuSdUz+/Oc/49JLL8Utt9yC8ePH44YbboDL5QIA2brEcRzOPfdcTJ48Gbfffjvy8vJky6GWwdwfTz31FFatWoXKykpMnz496nJuu+02LFmyBL/85S8xefJkrFy5Eu+//74qYyJBEARBEMcukhDT6zLPvsQI2oAdImEcDgdyc3Nht9tVlh0A8Hq9qKurQ3V1Ncxmc5paSBBEvNA1SxAEQRCZQ21XLT5p+AQVtgrMHzM/3c0B0Ls2UEIWMYIgCIIgCIIgMpJMjhEjIUYQBEEQBEEQREZCMWIEQRAEQRAEQRApRi7onIF1xEiIEQRBEARBEASRkZBrIkEQBEEQBEEQRIrJ5ILOmddigiAIgiAIgiAIAEE+CIAsYgRBEARBEARBECmDLGIEQRAEQRAEcYzS4GjAa7teQ5OzKd1NITTIBZ2ZzCvoTEKMIAiCIAiCIHqh0dEIZ8CJQz2H0t0UQoNsEdNlnqzJuBa/8MILqKqqgtlsxqxZs7Bx48aY886ZMwcMw0S8LrzwQnmexYsXR3x/3nnnpWJTjjteeeUV5OXlpbsZBEEQBEEQCSFAEP8LQppbQmjheMqamBLeeustLFmyBPfffz+2bNmCqVOnYt68eWhtbY06/7vvvoujR4/Kr507d4JlWfzoRz9SzXfeeeep5vvHP/6Ris3JCNavXw+WZVXiNR6qqqqwdOlS1bTLL78c+/btS2LrCIIgCIIgUockyIihAxV0ThFPP/00brjhBlxzzTWYOHEiXnzxRVitVrz88stR5y8oKEBZWZn8WrVqFaxWa4QQM5lMqvny8/NTsTkZwbJly/Dzn/8cX3zxBY4cOTKgZVksFpSUlCSpZQRBEARBEKlBtoRpdZggADUrgcPfpLxNhIhc0JksYoOH3+/H5s2bMXfuXHmaTqfD3LlzsX79+riWsWzZMixcuBBZWVmq6WvWrEFJSQnGjRuHm2++GR0dHb0ux+fzweFwqF7xIggCAlwgLa9EzelOpxNvvfUWbr75Zlx44YV45ZVXVN//97//xSmnnAKz2YyioiIsWLAAgOgS2tDQgDvuuEN29wSiuyb++c9/xujRo2E0GjFu3Di8/vrrqu8ZhsHf/vY3LFiwAFarFWPHjsX777+f0HYQBEEQBEEMBNk1UavEPF3Aka1A/ZdpaBUBZHZB54xJL9Le3g6O41BaWqqaXlpair179/b5+40bN2Lnzp1YtmyZavp5552HH/zgB6iursaBAwfw//7f/8P5558vu+RF49FHH8WDDz7Yr+0I8kG8tOOlfv12oNww+QYYWEPc87/99tsYP348xo0bh6uuugq333477rnnHjAMgw8//BALFizAb37zG7z22mvw+/1YsWIFANEldOrUqbjxxhtxww03xFz+e++9h1/84hdYunQp5s6diw8++ADXXHMNhg8fjrPOOkue78EHH8Tjjz+OJ554As899xyuvPJKNDQ0oKCgoP87gyAIgiAIIk6kwewIIRaKT5L/EylHihHLxGQdGSPEBsqyZcswefJkzJw5UzV94cKF8vvJkydjypQpGD16NNasWYOzzz476rLuueceLFmyRP7scDhQWVk5OA1PI8uWLcNVV10FQBSsdrsda9euxZw5c/DII49g4cKFKkE6depUAKJLKMuyyM7ORllZWczlP/nkk1i8eDFuueUWAMCSJUuwYcMGPPnkkyohtnjxYlxxxRUAgN///vd49tlnsXHjRkqqQhAEQRBESoiZrCPkFgdK4pE2yCKWAoqKisCyLFpaWlTTW1paeu3sA4DL5cKbb76Jhx56qM/1jBo1CkVFRaitrY0pxEwmE0wmU/yNV6DX6XHD5NhWosFEr4v/cNfU1GDjxo147733xN/q9bj88suxbNkyzJkzB9u2bevV2hUPe/bswY033qiadvrpp+OZZ55RTZsyZYr8PisrCzk5OTETtBAEQRAEQSSbmK6J8mcSYukik2PEMkaIGY1GzJgxA6tXr8b8+fMBADzPY/Xq1bj11lt7/e0777wDn88nW3d64/Dhw+jo6EB5eXkymh0BwzAJuQemi2XLliEYDKKiokKeJggCTCYTnn/+eVgslpS1xWBQ7y+GYcDzfMrWTxAEQRAEERXZIkb9knSRyUIso5wplyxZgpdeegmvvvoq9uzZg5tvvhkulwvXXHMNAGDRokW45557In63bNkyzJ8/H4WFharpTqcTd955JzZs2ID6+nqsXr0al1xyCcaMGYN58+alZJuGIsFgEK+99hqeeuopbNu2TX5t374dFRUV+Mc//oEpU6Zg9erVMZdhNBrBcb37S0+YMAHr1q1TTVu3bh0mTpyYlO0gCIIgCIJIClLSxN5cE8k9MS1kcvr6jLGIAWIdqra2Ntx3331obm7GtGnTsHLlSjmBR2NjY0SgXk1NDb766it88sknEctjWRbffvstXn31VXR3d6OiogLnnnsuHn744X67Hh4LfPDBB+jq6sJ1112H3Nxc1Xc//OEPsWzZMjzxxBM4++yzMXr0aCxcuBDBYBArVqzA3XffDUCsI/bFF19g4cKFMJlMKCoqiljPnXfeicsuuwzTp0/H3Llz8d///hfvvvsuPv3005RsJ0EQBEEQRDzEdE1UWsIEHshAq0ymk8kFnTNKiAHArbfeGtMVcc2aNRHTxo0bFzNtu8Viwccff5zM5h0TLFu2DHPnzo0QYYAoxB5//HEUFBTgnXfewcMPP4w//OEPyMnJwZlnninP99BDD+GnP/0pRo8eDZ/PF/UYzJ8/H8888wyefPJJ/OIXv0B1dTWWL1+OOXPmDObmEQRBEARBJESfyTrk95knBjIdOVmHLvP2PSMkWlyKiMDhcCA3Nxd2ux05OTmq77xeL+rq6lBdXQ2z2ZymFhIEES90zRIEQRBaPqn/BLXdtZhQMAFnjQhndkZnHbD9TfH9Gb8E9Mb0NPA45u+7/w6H34EfjP0ByrJ6T+CXKnrTBkoyz5mSIAiCIAiCOLbpPgRs+DPQXpvulgBIwDWRSDmZnL6ehBhBEARBEAQxtOioBTzdQMf+dLcEQG9CTPGZhFhakLImMgyT5pYkDgkxgiAIgiAIYmjB+UP/A+lth5aIMmJkEUs3kjhmQEKMIAiCIAiCIAZG0Cv+54eIEJPS18cs6Kx9T6QKKd1FJqavz7wWZyiUE4UgMgO6VgmCIIYAQZ/4nwumtx0hKEZs6EIWMSImLCsGDvr9/jS3hCCIeHC73QAAg8GQ5pYQBEEcx0hCbIhYxKRBur7T1xOpRjommRgjlnF1xDINvV4Pq9WKtrY2GAyGiILTBEEMDQRBgNvtRmtrK/Ly8uRBFIIgCCINSK6JQyRGLD6LGHlUpAPZIkZCjNDCMAzKy8tRV1eHhoaGdDeHIIg+yMvLQ1nZ0KhDQhAEcdwiJevgyTWR6B3ZIpaBrokkxFKA0WjE2LFjyT2RIIY4BoOBLGEEQRBDgaFmERPkbB3aL6K/J1IGj1D6ehJiRCx0Oh3MZnO6m0EQBEEQBDG04XkgKKWvH1qD2GQRG4KEDgllTSQIgiAIgiCIgaAUX0MkWYdEZLIOKuicTgRBiFJSIHMgIUYQBEEQBEEMHSS3REBMXz8EXP4oRmxoojwemZisg4QYQRAEQRAEMXTQuiMOgYQdcvp6EmJDCqWFklwTCYIgCIIgCGIgKC1iwJBI2CFbxCKsc0KM90QqUFnEMjBZBwkxgiAIgiAIYuggFXOWGAJxYpECTPqCLGLpRHlcSIgRBEEQBEEQxEDQCjEu/a6JEuSaOLSgGDGCIAiCIAiCSBZD0SIWyzVRJcTINTHVkGsiQRAEQRAEQSQLTmsRGwJCLGayDironE54hRAmixhBEARBEARBDARtso4hYBGT6N0iRq6JqYZixAiCIAiCIAgiWQzBGLGYRYNJiA0JGDBkESMIgiAIgiCIATGUY8R6dU0kIZZqZNfEzNNgAEiIEQRBEARBEEOJCIvYEBBiQjzJOkiIpRpJGOsyVNJkZqsJgiAIgiCIYxMpRkynF//z6XdNlIh0UaSCzulEOh6Z6JYIkBAjCIIgCIIghhJ+l/jfkif+5/xpa4pE7KyJZBFLJ9JxycREHQAJMYIgCIIgCGKoIAiA3ym+t+SL/4eCa2JcdcRIiKUaWYiRRYwgCIIgCIIgBkDAA/Cc+N6cJ/4fAsk6YkJCLK3IrolkESMIgiAIgiCIASBZw4xWQG8S32dM+nqKEUs1UtZEsogRBEEQBEEQxEDw9Yj/jTaANYjvh4BFLHbWRCH6eyIlkEWMIAiCIAiCIJKBZBEzZYeFWLpjxDxdEFxtAChZx1BFx2SmpMnMVhMEQRAEQRDHHj7JNdEG6CSLWJpdE/f8FziyFfC7SYgNMSIslBkGCTGCIAiCIAhiaCBbxGxDxyLmd4kdfs7fh2siCbFUI8eIkWsiQRAEQRAEQQwAZYyYbojEiAlhOxgVdB5aSMeDXBMJgiAIgiAIYiCoYsT04vt0W8QEXqoiFvW7qO+JlJKpWRP16W4AQRAEQRAEQQBQx4hJwmYICDHxv0AFnYcYfIbv84yziL3wwguoqqqC2WzGrFmzsHHjxpjzvvLKK2AYRvUym82qeQRBwH333Yfy8nJYLBbMnTsX+/fvH+zNIAiCIAiCIJTwPOB3ie9NNoA1iu85f/raBIQsYgJERzgSYkMJck1MIW+99RaWLFmC+++/H1u2bMHUqVMxb948tLa2xvxNTk4Ojh49Kr8aGhpU3z/++ON49tln8eKLL+Lrr79GVlYW5s2bB6/XO9ibQxAEQRAEQUgEvWExY8gC9ENHiIn/ySI21JCOByXrSAFPP/00brjhBlxzzTWYOHEiXnzxRVitVrz88ssxf8MwDMrKyuRXaWmp/J0gCFi6dCnuvfdeXHLJJZgyZQpee+01HDlyBP/+979TsEUEQRAEQRAEgHCaeh0L6HRhixjPia+00UuyDlXWxJQ1iAhBQixF+P1+bN68GXPnzpWn6XQ6zJ07F+vXr4/5O6fTiZEjR6KyshKXXHIJdu3aJX9XV1eH5uZm1TJzc3Mxa9asXpfp8/ngcDhUL4IgCIIgCGIAKIUYALCm8HdBX+rbIyG5JkarWUUWsbQiCeNMTdaRMUKsvb0dHMepLFoAUFpaiubm5qi/GTduHF5++WX85z//wd///nfwPI/TTjsNhw8fBgD5d4ksEwAeffRR5Obmyq/KysqBbBpBEARBEAQhWb10oVxyOl34fTrdE+X09eSaONQgITaEOfXUU7Fo0SJMmzYNs2fPxrvvvovi4mL85S9/GdBy77nnHtjtdvl16NChJLWYIAiCIAjiOEW2iCmSeg+FODEpfb1AyTqGGlTQOUUUFRWBZVm0tLSopre0tKCsrCyuZRgMBkyfPh21tbUAIP8u0WWaTCbk5OSoXgRBEARBEMQAiCbE0p05UVC6JEYRYqp5SYilGsqamCKMRiNmzJiB1atXy9N4nsfq1atx6qmnxrUMjuOwY8cOlJeXAwCqq6tRVlamWqbD4cDXX38d9zIJgiAIgiCIJMCH6oVJMWJAWIilK0YsJMJEl8Q+XBMpW0fqCe3yTLWIZVRB5yVLluDqq6/GySefjJkzZ2Lp0qVwuVy45pprAACLFi3CsGHD8OijjwIAHnroIXznO9/BmDFj0N3djSeeeAINDQ24/vrrAYj+pLfffjt+97vfYezYsaiursZvf/tbVFRUYP78+enaTIIgCIIgiOMPOUbMEJ4mW8TSVNRZ5XpIrolDjUwv6JxRQuzyyy9HW1sb7rvvPjQ3N2PatGlYuXKlnGyjsbEROl3YyNfV1YUbbrgBzc3NyM/Px4wZM/C///0PEydOlOe566674HK5cOONN6K7uxvf/e53sXLlyojCzwRBEASRETTvAOxNwNhzxWQHBJEpRI0RC2VO5NJlERM7+jFtXSTE0kqmuyZmlBADgFtvvRW33npr1O/WrFmj+vzHP/4Rf/zjH3tdHsMweOihh/DQQw8lq4kEQRAEkT7qvgC8DqBiGpAdXww1QQwJosaIhaxjabaISenrKWvi0IKyJhIEQRAEMXQIesX/6cwyRxD9QVtHDAjXEktbHTFB9bf3gs4UI5ZqqKAzQRAEQRBDA0EIWw6kTi1BZAraOmLAEMiamIhFjIRYquk1i2UGQEKMIAiCII4V+GC4Myh1agkiU5AGEYZSHTFVjBgl6xhqSMI4U2PEMrPVBEEQBDEUcRwBfM70rV/ZWSWLGJFpDMk6YpQ1cSjDgwo6EwRBEAThbAU2vwps+HP62kBCjMhkehNiaasjpqkTpvWEU8WIkRBLOVIdMUrWQRAEQRDHMc4W8T8fBALe9LRBmVmOhBiRaUjutGw0i1i6siaKcWGSC1xkTJIQ4z2RCihrIkEQBEEQgF5Rf9J+OD1tUFnEKEaMyDCGZB2xyKyIQiwrGFnEUo5U0JlcEwmCIAjieEZpgbIfSk8byDWRyGSGaB2xsOzSWMUEgVwT04xsESMhRhAEQRDHMSohli6LGLkmEhlMVCGW5jpiAq8WXprvev1MDDqUNZEgCIIgCLXw6TkKcGkQQsrOKgkxItOIVtBZdk1MX9bECIuYEKcwGyz2fwpseZ3cjxWQRYwgCIIgjmeUnSKeA/w9qW8DWcSITKZX10S/KHwC3hQXTlak5xA0UyIsYilq1+FNotW9fV9q1jeEkWLEMlSHkRAjCIIgiKSgFT7pGK1WxYiRmxSRYfTmmigIQHcDsG4pcOCz1LVJm74eQ0CISQTTlJ11CCEdC12GSprMbDVBEARBDDUihFgKLVI8D3Q3AgFXetZPEMlAFmKG8DTWAEipyXe+K4qdQxtT1yaBB7QxYoLyO+28KSRdCUyGEJKbaKamr9f3PUskPM+jtrYWra2t4DUjbmeeeWZSGkYQBEEQGUU6hVjTN0Dt6vStnyCSQbQYMYYRxVjQn56EHb1mTUy3EEtT3NwQItOzJiYsxDZs2IAf//jHaGhoUNdRgKhGOY4CBwmCIIjjkLQKsc2R00iIEZmG5M6r03RPc4YDnQfV0wQhbCkbTHoTYtoCzqkQYsq+Nwmx488idtNNN+Hkk0/Ghx9+iPLy8ozdcIIgCIJIKtqYsFRmTWQNkdMooxqRaUSLEQOA0hMjhVjADRizBr9NghCRJTH8WSu8UhAjplwnuSYefxax/fv345///CfGjBkzGO0hCIIgiMwknRYx1hg5jSxixxZtNUDHAWDsuQDbr8iS1MHzQO0qwN0BWIuAsefEZ72ShIVWiBWdIG6zcnDD50ydEAt/CP1No2uiSoiRRUzKmpiphqGEk3XMmjULtbW1g9EWgiAIgshcSIgRg8nOd4Gj24Hm7eluSd84moCmLUBXg+g262yJ73fRYsQAQG8ESk5UT/OlqDyE0jVRNoylsY6Y0tJNQizjsyYmPKTy85//HL/85S/R3NyMyZMnw2BQu0NMmTIlaY0jCIIgiIwhnUIsmlsOCbHMpmUXUL8OOHEBYCsOT09HwopEcbWqP/td0efTEitGDBCtamWTgMavgY5aMYV9wzpgymWAwTKw9vZGlPT10b+L8jka7aG2T7gIyKkYWHvINTF8SDLTIJa4EPvhD38IALj22mvlaQzDQBAEStZBEARBHL9oY7JSGaPFRemckxDLbHa/L/7f8x9gxjXh6VJdraGMs039OeDp+zc8HxYZ0WIeWQOQN0IUqIDo9giIVsIR3+l/W/tEgDZ9vaBNZy/PGkeMWHuN2PaO2oELsUwQ5YMMj5BrYoYqsYSFWF1d3WC0gyAIgiAyG6VbFc+lVghF65BRso5jA2eb2qI01OPDgEiLWFxCTHG9RLOISRhtmt8N8nkeLWtirGQd8QgxaTv7a80SFNtLQkw+FjrmOHFNHDly5GC0gyAIgiCSR8ALuNuBnGGpSXENhDtYehPgdwN8Ct2GosWKkEXs2EEpxIa6wBYEwBWyiOWPFOPEAnG4JsYrxEwaIRav22N/UcWIxUjWwTDid/G4Jkrbmcj1GfCKVrScCo1FzBv/Mo5RjrusiQBw4MABLF26FHv27AEATJw4Eb/4xS8wevTopDaOIAiCIPpFzQoxy9xJPwFyh6dmnbIQM4eEWLotYiTEjhm83eH3Q12IebvF4ss6VhwI6WqI0yImZUxkex88MWarP/sc/W5qXAh8RN2wCCGmY8WMjgLfd30z6fglkmjjm5cBrx2Y9EPAWhieHvSmrp7aECXT64glbMf7+OOPMXHiRGzcuBFTpkzBlClT8PXXX+PEE0/EqlWrBqONBEEQBJEYXrv6fyqQOlj6UAxPqoSQIJBF7FhDEAClq1VXQ/j9UD+urnbxv7UwbL0KuPv+nZyog+19Pq1FbLCvcZVrYmiSoBZmYFjll70vrz+uidI2tu1VW8RS7QI9BDnuLGK//vWvcccdd+APf/hDxPS7774b55xzTtIaRxAEQRD9YqBxGANZpz6UwS1VlgsuEL3zN9QtJ0RsOL+6w91VH36fSpfX/iC5JWYVAwar+D6RGLHe3BIBwJRqi5gQ4ZoY/k6yiOkBSFbpOIVYfwSUwEe6Pwa90ZObHCccdxaxPXv24LrrrouYfu2112L37t1JaRRBEARBDAhJgKVSjMhCzKj+PNhEy5gIiB02PgV1jYjko7UgebrC74e6BcTdKf63FobTyidTiBmzgBPniy9AjJ8azKQVgqAQYDGSdSiteH3FicmDRP2oASbw6mQdgLj9xzGZnjUxYSFWXFyMbdu2RUzftm0bSkpKktEmgiAIghgYktUgldYDZYyY8vNgE+ylQzfUO+1EdHrrXA91S6ckGi35CotYPK6JkhCLw7pTMkF8GULXmncQrWJKYRUrWYdSPPYpxKQYsX7cm2JZxI5nJO/QDLWIJeyaeMMNN+DGG2/EwYMHcdpppwEA1q1bh8ceewxLlixJegMJgiAIImEG4v4z0HWmWohJFjFzjhjMrzcDG/6saIMxNe0gkkcwZEFiDZEd9qEurlVCTGER6zOJhaL8Q7yYckTR6nOoi14nk2jp67V1xJTxfPEKsX65JgqRQvw4T2F/3MWI/fa3v0V2djaeeuop3HPPPQCAiooKPPDAA7jtttuS3kCCIAiCSBguxTFiyg6SJMS4VFnEQh0x1ghkl4nvGV3INXGId9qJ6EgWsewywNMN+HrC3w3lYxr0hdPJW/LDsUuCIIoxozX2b+VkHQl0Tc25gLN1cBN2KLMmyvpLI8QSsogN1DWRLGJK+ND+OG4sYgzD4I477sAdd9yBnh7xxpCdnd3HrwiCIAgiRfBcuLOSKjcuKW01kPqsiVKHTlovEEqnTUIsY5EsYgaLWMC4dU/4u6F8TCVrmMESdhvUm0SB1pcQkwZNEhFiphzx/6BmThR6sYhJdcR0ilpig5A1UV49CTEtmW4RG1AZ6uzsbBJhBEEQxNBC2cFJVYyYsnOc8hgxySKmFGKhzuxQjycioiNZxPSWyDp4Q/mYSkLMWhCeFm+cmDSgwCbgSptIevz+EqWgs/I7ACEhplNPi4XsNt2fe1OUotH9sawdQ0hCTMcMSNKkjbiGHU466SSsXr0a+fn5mD59eq/mvy1btiStcQRBEASRMMoOTqrEkEqIpcsipujAykJsCFtPiNjIFjEzkF2u/i6VJRkSRRkfJmGwiNP7ypwoWXYkS1o8JJKVsb9EK+iszZrI6ADJIhN3so5g4sWYo1nEjnchJmS2RSwuIXbJJZfAZDLJ7zPVD5MgCIJIM0E/cHQ7UDQWsOQNzjqU4iNVnVZlogEpLiZVloteLWIkxDISpUUspwIY8R2guxFwHBnax1RKXa8SYnFaxCQhpk9EiCWQlbG/9JY1EYpkHUwcQozXCCkuoB5Aiact2vtKqmJRhyiyKM5QaRKXELv//vvl9w888MBgtYUgCII41mndBdR+CrhagfEXDs46lB2TlFnEpEQDbOpFkJQ1UWURY1PbBiK5KK1DDAOMPgtorwV2vDO0j6kUq2XOC0+T4sL8zt5/Kw0oKGMd+0KyiPkHU4gp3RF7sYjF4xqnPXacP3EhphV6Q73A9yAjuyYOLNoqbSTc6lGjRqGjoyNiend3N0aNGpWURhEEQWQkzlZg9/vq4quEGp9T/X8gCAJw4HOgeYd6ejpdE3V6hRBLUQdJqiNGMWLHDpKFR28JT8sEcS0LSEW7rYXif1db77+V3AuV29wXKbKIaZN1KL8DIIrleGLEtMcu0XtEJrsmHtoI1H2RnGV1HgT2fAAEfeFkHRnqrZewEKuvrwfHRd7YfT4fDh8+nJRG9cYLL7yAqqoqmM1mzJo1Cxs3bow570svvYQzzjgD+fn5yM/Px9y5cyPmX7x4MRiGUb3OO++8wd4MgiCORbb/A2jZBez4Z7pbMnSROmrBJMR0OJqAxg3iA1kZI6J0R0yZa6Ii9XbaLGLkmnjMEIgSL5Vql9f+EC2DZ1aovpezDyHWL4uYNfzbwdovghCRrj5m1kTltGhEWMQSvD4FHhC0rokZYBHjeaB2NVC/Luy+OhC2vyUOwNV/eXzEiAHA+++/L7//+OOPkZubK3/mOA6rV69GdXV1clun4a233sKSJUvw4osvYtasWVi6dCnmzZuHmpoalJSURMy/Zs0aXHHFFTjttNNgNpvx2GOP4dxzz8WuXbswbNgweb7zzjsPy5cvlz9L8XAEQWQoPA/s/rc4Kjvu/NStV3KPcbWnbp2ZhizEklCEVFlbqa0GqJgmvufT4ZqotIhJlosUdJh3vw+07Bbfs1GSdWg7bURmICfrUKR7zwRxHS1e0Rbqn3k6ReHBxuh69idGTG8Op40PeMJZFAVBdOM02oDxFyS2DVoG0yKWqDVLiJI1cSifDxJKy18yE6u4uyBkiedaplrE4hZi8+fPByBu6NVXX636zmAwoKqqCk899VRSG6fl6aefxg033IBrrrkGAPDiiy/iww8/xMsvv4xf//rXEfO/8cYbqs9/+9vf8K9//QurV6/GokWL5OkmkwllZWWD2naCIFKIu13smAPAyNMBc05620OEkTpqyah943WE37fsGiJCjAV0CstFolnREoELitstka14jmVCp52IDs+HO6tKF79MOKbRMngabeJ2BDzivdlWGj1JhSzEEhgM1+lEMRbwqIWYrwfoOCC+H3f+wK5BVfr60D/ZQhaaHm/6eu3gTMKuiYJ4fgDi+cAHM8M1UZVAKYnt5QMQBPE8ylSLWNyuiTzPg+d5jBgxAq2trfJnnufh8/lQU1ODiy66aNAa6vf7sXnzZsydO1eeptPpMHfuXKxfvz6uZbjdbgQCARQUFKimr1mzBiUlJRg3bhxuvvnmqDFwSnw+HxwOh+pFEMQQwtMdfm8ffJdpIgGkzlbA23fh077wKe693Y1hCxmXjhixKK6Jg71+5bJP/ZlGiGVAPBERnYArLOANWeHpQ/2YcsHwdaC0iDGMwj2xFdj/CbBuaaSrYrT4sniIFieW1MEYAdCmr4/qmtgfi1h/XBNDy5eEbCa4JnKDZBHjg+BD++OYF2ISdXV1KCoqGoy29Ep7ezs4jkNpaalqemlpKZqbm+Naxt13342KigqVmDvvvPPw2muvYfXq1Xjsscewdu1anH/++VHj4CQeffRR5Obmyq/Kysr+bRRBEIODMlmG/VDq1puhBSVTivQQFviBdyCkDG3y55Aw49MRIxYlWQcAdNWHk2kkG6XboSlb/R0l68hcpEQ2xizR4iOhtIgNdBBjMOAU7sbaosySe6KrFWjaIp6XB9eEvxeE/sWIAdFriWlTxA8EbUFnQYgUYmAAJg6X5P64JiqPtUqIhVw4+7t9Pc2A39W/3yaKcruTLMQkjumCzlpcLhfWrl2LxsZG+P3qk+i2225LSsOSzR/+8Ae8+eabWLNmDczmsP/xwoUL5feTJ0/GlClTMHr0aKxZswZnn3121GXdc889WLJkifzZ4XCQGCOIoUS6hBhrCHcmBtMlLZNRxoYFvYmlbtbi03gjSB3BtKSvVwqx0Oi4wIuJW4rGApMvHcR1spHnmtRpz4TRckKNlObdaFNPl+P+QnFCUsd/qCDHhxnUAhIIW8SU8bPKdPa8wpqWSIwYoBBisSxiSRRi0qRo6eulbe4tLrM/WRNVdcwUyTrkwvH92D53J/DNciCvEph+VeK/TxSVRSyJGS55LiyKM/Rxm7AQ27p1Ky644AK43W64XC4UFBSgvb0dVqsVJSUlgybEioqKwLIsWlpaVNNbWlr6jO968skn8Yc//AGffvoppkyZ0uu8o0aNQlFREWpra2MKMZPJRAk9CGIooxRirnZxBC5Rd5f+oBRiQZ864xkhoowNG2jCDskiZjCLro6S5Umbvj4VolgpxABRHHGhDlT7/kFaZ6hDFm0kWM6wR0Is45BcbGNZOQHxfNMNMSEWLWOihDmU4E1pxVZ2yCUrCaOLtKb1heSa2FEr7rOisWqr1EALHmtdDaNZxBidwiKWQIxYPG0bDIuY9Ix09x6KkzQGK1kHFzj+XBPvuOMOXHzxxejq6oLFYsGGDRvQ0NCAGTNm4MknnxyMNgIAjEYjZsyYgdWrV8vTeJ7H6tWrceqpp8b83eOPP46HH34YK1euxMknn9zneg4fPoyOjg6Ul5cnpd0EQag54jyC/zX9D8HBtFR4FOlxBUF0wUgFygfmYNa1yVR4Tt1pGEgK+6A/nOJbGm2XLGLKcytalrHBQFnQGVB3mgd9nVHWJQkxsohlHn1ZxIChGScWLWOihCQqlYNkfldYtCjdEhMdNJEG2ToOiBZoryO5ySEEPiy8xAmIyN7B6OLLVNov10SNRYzXWMT6c41Lvwl4UuPmqnJNTKZFLBgu6JyhrokJt3rbtm345S9/CZ1OB5Zl4fP5UFlZiccffxz/7//9v8Foo8ySJUvw0ksv4dVXX8WePXtw8803w+VyyVkUFy1ahHvuuUee/7HHHsNvf/tbvPzyy6iqqkJzczOam5vhdIo3OafTiTvvvBMbNmxAfX09Vq9ejUsuuQRjxozBvHnzBnVbCOJ45eujX2Nb2zYc6hkkl0EuGB5RtoU66EoXmMFE+VBN1TozCW2mxIFYxCS3RL0p3MmTLGLajslAxEj7fqDmo75HriMsYikQYoJG/ClhMyiQn1AjxYiZNEKMYYZ25sRoGRMlJFGp7PTzXFiY9Sd1vbzsLPVnv0sthgbsmihoXBOjWcSY+JKpJMU1MfRZErxKcRYvnMKFPpkWqpjrG7wYseOmjpiEwWCALuQHW1JSgsbGRkyYMAG5ubk4dGhwYzEuv/xytLW14b777kNzczOmTZuGlStXygk8Ghsb5bYBwJ///Gf4/X5ceqnaN//+++/HAw88AJZl8e233+LVV19Fd3c3KioqcO655+Lhhx8m10OCGCR8oQeAj0tCHaloeLvFh4veKFpKnG3h+l6DiSCoH7KpWGemoRVeA0lhL7k4mXPCHZJoFjEg1Nnpp5uoVJzbWghUzow9XzqEmHadSqQU+pmQ2ppQE8siBoidfWU81VCiN4uY3iRaabUDA642IKuwf6nrJbRu50Gv2j0wmck6gDhcExOxiCUoxCCExaxyX3GBxFxVtVkMjdbY8yYDPokxYhoxf9wJsenTp2PTpk0YO3YsZs+ejfvuuw/t7e14/fXXMWnSpMFoo4pbb70Vt956a9Tv1qxZo/pcX1/f67IsFgs+/vjjJLWMIIh4kARYYLBG6qVgcEt+eKQ0kILMUNpMZsp1ckHg2zcBWxkwdm7kb48XtMIrEEOI9bQAu94Nz28pAKb9OOxuB4SFmCk3PAIvdQS151YyrAd9WTi1omiwBhpU65RixKJZxMg1MWOJFSMGhM4vX2LndPMOoHEDMOmHgLWg7/n7i3TOR7OIMYy4Pe5O9XRnC1Ayvv+p64HIgYigF6rMDQO9/gVB474nREnWobCI9eqaqI0Ri+f6VAoPRbIO1hBOCsT5E4tJVg6KBdwACuP/bSJ01gG1nwI5FYr1DdAiphSmCtfETC3onLBr4u9//3s5fuqRRx5Bfn4+br75ZrS1teGvf/1r0htIEMTQIcAF4Of88ksKkuV4Tp7GhR40Qgy/80BoZCzAB8SHUDL904N+oG6t+D5neLgGTxJS9Erbo9wu1TZqLQ/KdfYcBboPAUe2Ds2006lC+wCOZRFrrxFrwQW84stxRKw/FG1ZxiyFRSxKsg4gtluhIMQvVPqycEnrlDpjWovoQBMGRF2nImuiFsk18RhM1hH13jJYJQLSQa8WsX5kw9zzgThAdfDzgbetN6RjEM0iBkTfHsnFuL+p6wEgt1I9SBP0qsVQ0i1iyjpiyhixeJJ1DNA1kQ8qxB8LsP10VVU+rwbTNbFtr3jutexWrM89sOegZltli1iGCrGELGKCIKCkpES2fJWUlGDlypWD0jCCIIYW3zR/g43NG1XTsgxZuKD6AvznwH/gD93YjawRl4y+BB/VfYRyWznOGXmOPL8gCLIlLOB3Av97DsgbkbzU3o3/E0dcTdlA9RnhbHUDdBNce2gt6ux1uGj0RXj/wPsYlz8OFr0FW1q3YMGYBSi0FEY+7JXrlOIg+KAo0LSxH8cLEa6JMaxGUj2wylPEAHx3Z6TQlTowrDHceZMtYtrOTpROiiCIVreOg8Ap1/VtKegrVbicOMMQ/fugF2CTfNylDllUIXZsuiZua92Gb1q+wfwx81FkCdU0PbpdjOObeAlQMiG9DRwoPBe+d0S7TwwkRmyw3Rm5PsSUcnv0RnXCnYHEiJlswOm3AzUfih3+oE99vQ54MEKISNYRVYgx/YgRSzRZBxB+1kgZJoP+xMWmSogNohu9JPJU5QQ4cf39Ed3S71UfxW3JVNfEhCxigiBgzJgxgx4LRhDE0CNacg1XwIU9nXtkEQYAfs6PPZ174Aw40eBoUM0f4APyAyzg6RQfmI6m5DVSyo5Ydbro4iK5Jg4wcUaDowHuoBu7O3bDG/SisacRjT2N8HN+NLtD64wQYop1KjOFaWtfHU9EJOuIYRGT9pGtLNwxi+jAhD6zekViCn/0eaN1xA5vAtr2ifN2HOi77X1ZxKTjz8YQYoMhiHqLETtGXRPl686lyIRqbxI7xPYk3kvShXTf0LHhtOxK4kkIEYtY52aykC1iMdLPKy1i1pArnJQ5NTAAIQaI9wFpfwW9mqyJA09fr40RkycoCzrH5ZoYaovkvhlX+nqtEAvtZx3b/1jQVFnEYt3jByL+tPuXCwBBP5hUpeJPMgkJMZ1Oh7Fjx6KjIzM3liCI/iOJrQuqL8CNU26UR6OdoY7DyJyRGJU7CoAo0ADRlVHpRqQUbIFoI2UDbmTIHdCUI/6XHswDHPHz82K7pe2S3DABRayb9kGoXKcynb73eBZioRFzyYUk1kNa2kfmnNiWHdkV0BBpEdMKr2giTnJhBQB3O6KiHHntKxBebk8MwTaQxCQx19lbjNixmTVRuu6U9xJ53w6kHMJQQcqYaMyKnsZdrg8Xp3VL6QKWaH2uROnTIqaIebOGrJnJsIhJSL8NeDXufAN3TdRMGHiyDr0l/rZp3fikc5/RKVwTE9zGiBixQSKWyBuI+NO6JvIB4NDXYLa/HRmDmAEkHCP2hz/8AXfeeSd27tw5GO0hCGKIIokRs94MvU4PY+ih7gyIHQcza5an9fjFYHMBgqpemLQMAAhID15Ok+SifX98FoqojQwJMckSJlvEevFJ72kBjmyL+b3SnVLargAfkGPd5A6hVigoBZfSIqYsaHqs43cBhzaFH7pSR1kaGY8mTgQhbBEz5ShGfGOkpGcNCtERI1mHdtQ56FFP08afadcB9C3EOI11atqPRTc56RwcFCGWgqyJXgdQ9yVwcC3gSv8grCzE+ChCLFbyl0yC68OqlKhrovL4D7YQk7Mm9sMipr139wdJiEVYxAYha2JEsg5dYsk6JLEaj6COEGKSayLT/wEXVdbEQRRiMS1iCQoxXw9w+BvxGtfE4PG85JoIoLsx8TammYSzJi5atAhutxtTp06F0WiExaLOcNPZmXlqlCCIvpE6QKZQILb0X7ISGVgD2NCIoEuRMdDP+2EIjeKqLGJc6AYt1UVhWPFBvus98QHz3SWJpeNV1kORLGHSQ13gY6forVkhujRmFQO5wyK+DiqyMiktYlLxSJ82Zbo5VxRbfqf4kGV0x69r4qGNYrY2zi+6i0odNUue+GCN9pCW91soy5psAYjhbqjTKyxiGtdEKaNYxG81n11t4vmjtUCoRpn7iD/gFcIQAPJHiq8tr4udzMFIJiHXEYsyppos18SG/4lJZgAx6czUhQNb3gCJGAABji2LWG9FupXT4xViqSwsL9cRiyNGLEthERMEwN8TOU+iKC3jSoGTBItYtEpi0jsAmmQd8VjEpBpg8QixGK6JDBt7oKovlFldB9M1MaZFLMHzcsc74qCp/RAw8nTVV0JoEIwRPyTexjSTsBBbunTpIDSDIIihjCAI8gi0ZPUy6sT/nlDnx8gaZSHmUXSI/JwfWaHshcrOU1DZkZJqoPhd4YdY0JdYbZOAJ/zAkgSYjhVT+ga84o0/2vKkmIwYmRWVI+/K7fKGOn/y99L2WPJC2xEqLM0a1J3wzoNiFrNRs6Onpz6WkESnnBkt1GE25wE4FN2CIVkSTdni8YvlmijHiBki64hJnRKDJXQsYljIDGbxPRcQ689Z8jXzKX/XR5Yv2TqlicNRjtInm9467XLWxKA4ghxNrMWDMtax52h0wZpCorsmho57KgrTDja9WTmBxGPElPtksItA91ZHDIhuERN48XeyS+YA7olS6vugR5M1MQnp69UTBu6ayCZiEYslxHSKgaohaBGT7q3RSNR63dMi/m/dC1TOUn8X2nYdw/SesXKIkrAQu/rqqwejHQRBDGGCQrh6vSTADJrAb6POKFuJlGgTeUgElD7qUsFdZWeV8wNIQIhJQspgVlvSDFniTd/vDI/CKpEz7UW3WPj7cO2KiBFjjaKI8HSFBIim0+ruFF98EDhxfu/blOlInUDpQS8dI0nwRLNgKN0SgdgjvqoYMamOmF9dWFsSYhFZFBUZF8254kPe2da7EIuIE9Egu0pqHqvaGmfJJJ4YMUDcXl0/M5Qpr8mAVxxcMOf0b1kDhBf43i1ix4UQS9QilkIhJlvEYrgmmnJC3zHidcfqxWvT7wq3M2kWMWWWvlS4JvYzWUdf95Vo8yiTdfTX8h1MgUUs2v1d8lIYiPU6ImuiYtsH+xwfBPo1RHbgwAHce++9uOKKK9DaKvrWf/TRR9i1a1dSG0cQxNBA6vQwYKAPdQSMmjgAE2uKmKb8LaCJEeMUHTzp5ql8ICQa2yK5Q2pr1UhWsGgp7Hk+/ACLUYDX10dh3rBFTGGhMeeK7732sFuiNvZB6a54rCIJMOm4StssuYBywUiXPWWiDiD2iK8sfBUWMckNUZo3ZsZFhYjLKhHfO1si2688B/uqexOrAy214eDnwFdLgf89LxY5TQa9xoixYcvVQOLEtALS1db/ZQ2QqPcSQQCCPgQ4Hvua2rC7KcNjMHnFfSQaA3FNHOzELX1ZxFg9cNLV4kvHhhNWSOeUTp+cZB1BTRxRMmLENAWdld8BSMAiJhVj7sMi1r4f2PiS6DbfW/r6frsmpiB9fTSrl+QFksxkHcr09RnompiwEFu7di0mT56Mr7/+Gu+++y6cTtGcvH37dtx///1JbyBBEOlH6gAZWINcNFGyjEkYWEPENEAtvtQxYkrXxNCNNcIilkgjJYuYxoomJ+yI4nqoFFkxHmSBPh5wEck6dIawiPA6RFdEACgco/5hPCOhmY5sEfOIgktyP7KVhi1H2tICUjITk0aIhVIUy4JImRyDNagzMXIKixgQO4siqwdyysX3nVESxPD9sIhFuCZKIjEUw+jrARrX976seJFjxKJYxBgmOXFiUudaGlxIpxCLdi8J+gBBQF27Cx1OH77Yexj+YAZfW3wvxxRIXIgpB6BSVkesl6QgWUVAVsgt0RASTtI5ZbINzO1VutYCmmQdiVhJuEDkoIsgRFrEIlwTmfCxicciJl2bseZt3SMWQm7fjwi3aNkSrotduD3oBzzd0a99QVA/X4P+wSk4H83qlQwhprkXS0JMBwz+OT4IJCzEfv3rX+N3v/sdVq1aBaMxfLF973vfw4YNG5LaOIIghgZysWaF0NJav4w6Y58WsYDiYaESYtJ05Qhaoq5cUodDGwcWik9DIIoQC/a9PlV2tmjfa4UYawyLCHc70BEqKl0xTf1DT1ffVpZMR7aIucUYLEAURwaL4rhoRmN9GouYJGx6moF1zwD7PxE/K5NjKLOHKdMXy0IsRrIOnQEoGid2aBxHI1MfKzsnfVrEYtQRi2Yd6G5MThkDeTtidNqTkcJeukbyKsX/sTJMpoCo95KgF21OHzpc4ne834PX1tdj+bo6tDsHwR10sEm6a6JSiA2iRYznFF4BcbrByhax0Dml9WZIFGl5Aq8Z1Itzuz3dwBdPArv/rZ4eLX297JqoTNYR6lLHU9C5r6yJqoGGGAMLDBse0FJuo98FrH8e2PBn8aX1OuCDkfezwUh005tFbCAxs5p9JoSe3QyY48M1cceOHViwYEHE9JKSErS3x6jFQhBERqNN1AEABs3Iv5GNIcRiWsSiWKOUD4NYD8+e5ujf9eWaGG0ELti3RazPGDGpc6Mc6ZRERMtusXNiLQCyy4GRp4YtMFwgZoKQYwLlKGvAA0jFNqU4LGVpASWSRcycJ/5nFUKMDwJdoSLhWguU1LGROlG2krB1VDvaq0x9b7IB+VXi5xaNe73KNTFGZ8jVIbY5pmuiolNqLQRyh4udoNY90ZeXCJL7VbQYMWDgKeyVI+e5w8X/rvQJMck67fYFsW1/LT7a3ogN+5pwoFW0qloMOug5H3q8QXS7A/hiX/qsd/2mr3p0iVo5UxUjJgl0vSk8ANIXskUs1HccSHwYEBqUCXVrlffWeAXo0W3i/9a9mi96s4hJ3zAK18ReLLLaZB2xLGKyEPP2IsSY6K6Jrvbws83viszUq6zn2NvzcaAk0yKmvB4i6ogpsiYeD0IsLy8PR48ejZi+detWDBsWmfqZIIjMR+oAKYWWSTPqGVOIxUjWwfNBcNIDJmqMWJTR7O5G4JvlwNa/R34XyzVR6hRE84NXCbH+WcTkGLJoFjGJkoniQ2/UHGDG4rCb17EcJ6bc34IgZtwDoggxjWuiNlmH1sLks4cScmiSY0jnnt8tPrQnXByeJqWnl9B2dktPFP+316jX1ZdrYtAHbF4upqhXxggqUQoxWzFQOlF835YMIdaH9SRWxsl44RSuoLkhi5i7M22Zyfy8Hzwv4EhDDYzt26Db+U/sbmyBAKDIZsTEilyYEIoXYYCGDjcaO1KYvj0Z9HlMNcXL+0JlERvETqr9sPg/tzJ+90LJgiVZogeSMREQ1ytdb0ohFq9ojTWgEZG+PkbWxP4k64h1LUnHtzchpmMVVm9NFmLVOjXtUcbXSs/LwRgUjGoRC93XE7WIKZMgafavLMQYZuB1E9NAwkJs4cKFuPvuu9Hc3AyGYcDzPNatW4df/epXWLRo0WC0kSCINBPNIqYVXQZd9BgxZYyVj1dmSuQQ6FWIRXl4SoWee5ojHxyya6ImKYb8oOlLiCWYNTHgARxHEOT84AVe/XCThBYgjvpq3RKtBeL/Y1qIaUY87U3if0mIScdF2VEM+sIPb61rogQXFH8jx4hpLGIAMOwk0SJWdILYWemqD492S8sAwp1dKZW2tuOgck2M0hny2sXz1NcTnhYrWQcg1qorHCu+72keeCbF3mLEAHUK+/4gtU/HhjtQPJeWUWe3P4gPdxzC1tpGmFxNYHQCxpk7cBq7G1WFVowutsHI6nDe+FzMnz4MUyvzAAArdh5Fa08GFXruy91UH6Xj3Ruqe+pgCrFQIV3JchoPWsvZQC1iQPh6C/RDiMXa59prXxDCYVsqISa5jSaQrCOmRSzsehvTLZrRhQWKqoC15tzQrkM5aGgYRItYtMHP/lrElP0NzfEUQvuUAQYnO+0gk7AQ+/3vf4/x48ejsrISTqcTEydOxJlnnonTTjsN995772C0kSCINBNXjFgcromqxBcChwBCDzHlQ0ci2g1V6XaodR+RLCsRQkyyiEW58SutYDEK7sZM1nF0mygM7YfF/aNyd1NYxE44L7JemCRGPJqYpGMJ7UPYcUT8L4nQaK6JUtyU3hQWVtGyx0lujsrvlZ2l0knif1sxUD1bfN/4dfh7bTxXrJHsvlwTo40ix0rWAYgZGs05olAXBMDRFPn7ROjTepJgp12LnAXPqHENGuTsexp8QQ5vbzqEpu4eZPtawQDIy81FSZ4Z4y09KM+1iDWEAJSaBVQXZeHUUYUoyzXD4+ew4ttIL54hS18FnRO2iKXANVEQFBaxAQixgcaIAWF3R+WgSrznq9IiphQ/Uvp6RXmWqAWdmf6krxeiW8U4pUWsFyEWzTVRe73HtIiZen8+DpRoVi9JbAd9iVnWlfdVTVv50PFlwAx+ZtBBIGEhZjQa8dJLL+HAgQP44IMP8Pe//x179+7F66+/DpaNMZpAEERGI7nf9RojpjPCoDOIN8MovwU01iWVRUxK1tFH+nplR6Jlp/o7qeMf4ZoYIykEEJdFLGb6eml02dUuik1ZiBnFUcrJPxLrhJVMiPytLMSOI4uYdKy1rold9cCe/yrqrkFdp6ovISadhw5FZ9tWEn5ffIL436+wWmmLL8dKO63qwEXpDGnPKR0bWThZeZ3YisX/UmdV6rz2F2X2tGjIgfz9FWKhjpTeLG5XosWEk0RtqxNd7gCMBh4j8wyoyLPAWlyNQDQXuFBcitnAYsH0YWAYoMsdgMuXIbEjsQqDS0jCPtZ9qa0G2Pdx+NxIhWuiuzPsEpxdHv/vtKnqk2kRU9Ifi5hyX0kxYfL5FiN9fTzXhzS/ctAymnCLO1lHlPIeEa6JmvYEo7gmejqBPR+I7v/JIpq4Uw5KJuSeqNjn0gCYZn/rgNjXxRAm4YLOEiNGjMCIESOS2RbiGKDd045ObycCXAABPgCL3oLK7EpYtZ1jIqOQY8RiWMT0Oj3Y0E3RwBpixoWp4q0EhRCLN3298mHjOCL+jtWLnQ4pNbr2YS6N+Em1ZZQdZdX6+hcjBp4LWcQU6esBoGhM7N9IiSikxBTHIrFGWC0ai5i7Q3wFPOEU/9L+AaJ3SCUhptOHj+fIU4GG9cCIWeoYFSkOhQuGzxdt8WVpGREWsT5cE7UWsWhWDGXHQ9quvEoxMUj3ocj5E6FP68kAsyZqC/Tq2JBrYmpTREtxXpWFBnhbAATFtvgtuYBXE2OosISYDSzyLAZ0uQNod/qQZep3lyd1RLFycryADQc70NTlQQHXhTM5HsYYFnzsfFf8n10GlE1R3+MGy5LpDiXbsBVHFjTvhaDOhKNdbpj0OhRnm8BoC6r3B6UFWkLKEthX7Jrye86vsraHLWJc7ILO0oBIb9eH7E6suK/xnHrASRA0romxhJjSHbI318QYBaGViVUOfyP+b94BnHVP7PYnQjShxYa8HYI+8Z6vzXIcC+U+lbxfWCMEzi27JiJDLWJxXTFLliyJe4FPP/10vxtDZA68wGNLyxbYfXYYWSNyTDlocDTgcE/kCK9Vb8UlYy5BvjkJN1kiLUhixKB4WKhEmU5tKYuVsj7CIoYBWMQA0cphyRc75gIvdhi1iTKkB40giA8G5Y0/CVkTwQcRCPoVblwxRrKV9Fbb7FghmgUyqyjsOqQdnHG1hS1ZymMYxd1VDu5XdvpGnAYUjAonlZDQm8QOi8CL1hI2O7KzGyvbWaKuidGOvdEKnHytutaZ1EbHEbGDESs2pS/ijRHrb+dEaREDQp1H/+B2dtydwM5/ASNOBcomQRAENHSK51J+lg5HFRYIvyUvLMR0evG4ajK1FWebZSE2slDjtjwU0cSICYKAVbubseeoaNHt8gdQ3OnAxJFW9Hqn8bvFc1aVpGaQBLQ8sBFn2nqI2/VVvROmLvF4HTRPxMmG7P5bBySitUEQQmKnj6Ur9xXnBxA6XyJcE/tK1tGLy51sEVMKL+0AkKKWWdAf28KmY8P3MK4XIRbhmqhwOR7MQXLpeW6yhQdKdXrxmRz0JZYyX7mPpGeL3gRB4dqeqTFicZ3zW7dujWthzEAK8REZxf6u/djYvBFOeye8zi6YrLmw5RVCp9PB6mHgt3fBaiuA32aAO+jGf2r/gzmVc5BvzodBZ0BQCEIHHWzJ8AknBh05RkzRKWZ1LFiGBSdwaoHGGuFSBEpHE2Um1gSfwKuTdUhCSSLaDVUbbO5zikJMKgiaVRI56qljY4/AKdcR4wYe6GsUmQ/C37JTdK1jdGHXu95QxkfFGKl1+oL4Yl8bTii1YUzJALOJpYNoQkwZP6K99k054RgxlWtilMeUlO5aOaqsNwJ5Ubw0pExqAY9oLTFlR6a+V3aglMdDlTUximtiPBYxAMguVX+2FoaFg88R3zkTjXhrTg00RkyyMiRaw6o/SIVsW3YCZZPQ1uODx8/BqNfBZmYUHV8WfnMugNDgnyVP/J0m4UqRzYh9LUBbzwA7aEG/eE4bs+IbbOkvmkQy6w90YM/RHugYBt8dW4QdtW64/Rxqj3ZivCCo+13Kc1Q6v5TwXKRXQDLoa0AgCtsP27Gj24STdEZ4DXnYgcno2t2C8yaVDawvGauYNB/oW4gpBQsX5dqXhFjUgs7xJutQzC8NEMUSShKxXPgYXXyuidGEHhASYnGWGugPUrvNueKzmmFCz+MocXx9obKIhe67epMqm6UuQ7MmxiXEPv/888FuB5FBcDyHzS2bIfA8rPUHkcdxcOMocnOqMcI8HIaW2tCcHfDpgM35QKBiGFbUrVAth2EYfH/09zHMRmUPhjpy1kRNVkQTa4I76O41rb0kxARBkN9nsWb4BAFbfK3Qg0ElFwj5witHJKMIoAiLWGiUTapho4wNUmKwhoSYG0ChYh39tIhpOuW++rUAawOqz1CLiFhIQowPIuD3whlkwQsC8q1G7Giyo9PlR32HC93uAOraXRhdbMu8gS5JiJkVAktprdK6pAS9gPRc7ssiJsWSxdshNlhFISaNwGqTdSiD9JUj59E6Y0oiYsTiHM9nGNEy6HMObARXjhEbLIuYNHKeQiEm1SkLjaZL1rDh+RZwQiDcqWR08CvdkC35ISGmPiZF2WLb25wD6KD5eoBNfxM7jgYLMOumsGU3SRx1HkWTswkncQEx1kWnx+4jDnxdJ1p/z5lYiokVOai0AXUNQLfTg60NHTipqii8EOVxltxItfBBIEp22wHRV6ZHDRwv4Jv6TgRZM6xzfoHhNgt2bm/B3uYeDMu3YMrwvP63JZZVjgv0LTqUgkVrDdcMmEUWdFbUEestWYfAI8Dx2N/sxFiBAR/kEPD6YVOeTqHj6A1wONTlhjWvA1F7SQwTn2ui9jxQJuEZVCEWWo/knq3Th+59UrhAPy1ismuiSRW5ywDhkhsZ9LzstxW4trYWBw4cwJlnngmLxQJBOzJDHDM4/U44/A40OBpw0H4Qdp8Y1xL0eDA9mAcDQiZ5uw+wHwAYBobiMeBcnTC5OjCzg8fenhoEJ06G3mBEMHTDEAQBaw6twWXjLotI/EAMLaLVEQNCrorBSNdEJZKI6wmIrjUMGGSxJnQCaAm68d9gHW7hg5Gd2mgxW1rrlOTuIFvEiqNvgMEiWqy0cUvKTjAfjOomFl2IqV1PAkEfkD0CqPxO9PUDaHf6YNTrkGM2AKwBPUEdGlu78OVnO+DR5wEArEYWbr/6oekP8uhyB1CQleTO02Aju6UohZjCIqYNqvc7wx0IpZiNdm+QOj/xCh9tJjVtbJXymCuPrUqI9dM1MRZ6SYj1L7U6zwvgAgHoIYDpM319klwTo6XK7g+uDnFZyjIPEs7QtRw6f+raxH08sjALjX5/2KKgY+E3K4SYXLxbfb0Wh4RYp9OPIMdDz/bDGtSyK3zuBDxiYgNDReLLiYEgCFjduBoOvwNWpxNckx17fUdxOLS/p43Iw8QK8Zooyc8FX5iFunYXvq05gCmFAvTZofue8lximPBxYpjwNcMHASRbiPURq6igxxvAziYHerxBWI0sJo8ohp7V4btjOXyxrw1fH+zEhPIcGPpznIDoMWJAfOcsH0OISXYXhUUs/JV0X2CiJuvY2WTHjiY7zjyhGMNyzQgEg9h1xIEvgx2wt9jBBH3YJdThB6fnID90jz/c1gWu04UOpx++II+OA0dQnMfDqN0nDAvoQm1RZU3UPDslEePpFrfB2SJ+tuRFZhlOFspi8NqakP2yiCnuv1J8pMYixkjr5YODa7VOMgkLsY6ODlx22WX4/PPPwTAM9u/fj1GjRuG6665Dfn4+nnrqqcFoJzGIdHg60OPvgY/zqV42gw1NziY0OBqi/m6kPwcGtMBQegJGzbwQjdvXgjVZUDZmOoorqiDwPJoP7UfDurcxyaNDjq8aJ864ALzAw8/58VbNW7D77Nh0dBNOG3ZaireaSIRoronKz9Hqi1n0FniCHgS4AARBwKEeMTFBaVYpzJrMiuACkR3S3ixiktuNlAlPsojFFGJSrRRNx1lrjeD8gE49QigJSWl7LHoLPN5ucZpODw8fhB88kDdS5fIT4Hh8VduOpi4PJg3LxZqaVrAMgxkj89HjC8J4xAdzMAg954XRrAPPC3D7OTAMUJFrQZvTB39QfPjUtTtRkFUQfduGKn6FRUzKSWLJC3+vHbgLeBU1xBQddB2r7kgqifdhq9eMwHK9WMSUI699FXSOcE1MUIgBcXdGOF4ALwhotnux/XA3DrS6MKWpBcPNHoyNKcQG6JoYkawjCUIs4AU2/lV8P+fXmgQJgXBJh4ALHj+HI3bxmFUXZaH2kB8QePG6Y3TwK7dbEtuaazrbpIfJoIMvwKPT7UdJdj8sWS271J+THCNn99nh8IuDFTu6WzDCx6DHz4CxAqdUFeDUUQorvk6HkrxsNHV5MO7wO3CstaHg3LtEC7NqYIlT3y8lF7jBsGb2ZZkN0dDhwn+3H0GAE6/laZV5sjCeOjwXWxu70OMN4q1Nh2DU62AxsDh7QgmsxgS6qtEs6EB8x0yI4pooCIqsidFixJTp69XJOnq8AXy+txVBXsC7mw+jLNuAkYe6wfGixSbA62AAEAwE8eGOo/jRycPR5Qpg1c7DGN+tuC8EPGjscGNMicadO5Y7ZLSCzlwA+GaZKGKkayV3+OBZxJTF4CUhJt0fE7WISeJKC2vUWMRC95Kg79gWYnfccQcMBgMaGxsxYUI4LfPll1+OJUuWkBDLINwBN744/AUO2g/2Oh/DMLDqrSjLKsOo3FGosFWAAYNdK15FEICtdBQKSoah4Jwfq3+n06F85Dh4neeiecM76Kldj8DJZ8NgNMGsN+PM4WfiwwMfYlvbNlTYKlCVWzV4G0sMCDl9vcalRfqsEmKhaVmGLHiCHggQEOADshCrzK6ES1M/KRD0wiBZUKROd28xYlI8iM8pjlBLBXVjCTHJDa69FjBmhzMaatcR9KkeTIIgyNZAaXuyDFnwhLL2ZTEGeBCEX+BU1p52pw8f7TiK9pA71Od7RaEYFATZ1ehE1oJKsw+XTy2Abfho+DkeNc09yLcaUVlghSAI2HqoG2tr2lDX7saMkRkkxAQhnBFyxKkAGKBobOR84y9A99GDaNm/GTajmDlNbzTDxZsgR8UxjPhQlVMu6yOLOfdFhEVMEyPGMOHzLtaoeLSirlorbqIWMSAui9juIw58XtMqC3MJRuDQ7vQjyxFAp8uOr+s6MSzPjFnVheLoetKTdSQgxAIeUcCUTFCPuiuLX3u6wnXlAPGaljpvXBD1rd0QBNG9MNdigC+UQS5LZxKFGOcHJlwEdDWIGQIbv46wBjAMg2KbCYe7PGjr8SUuxJxt4kCPjhVdrDzdSRdijT3hlOG1rnZUogjDi2yYNa0audbIc0pnMKEo24gj3V60Of0o8HaHhJgyQ2JQbakSuEEUYr3HKgqCgJ1NDqypEUVJQZYR5blmTBuRJ8+jZ3X4zqhCrNrdoornC3B8qAxBnB5XMS1icRyzaNd+6LoXz0pG2qAoWRMVoig0bWNdJ4K8AFbHIMgLONLlxnBegNmgwxXfqQa3IRdmzoBaPYO2Hh9eX98AjhdgCvqQbdYjx2yAzaTHJrsXbW4fcix69fmrYwEo4lsljw45g2/IPVXgxetOuocGvOJ9NLs88r4Wr5dBX0jnoo4NP3+lZSdqEYuV/EQfxTURyLg4sYT3+CeffIKPP/4Yw4eri/aNHTsWDQ3RLSfE0MPP+fHfA/9Fh7cDDMOg0FwIs94ME2uCmTXDwBrQ6e0Ey7CYWTYThZbwiBwXDKLp4E4E2w8AAIqGRelgKRg5/mS0bP8EgseO/Vs+x8TvnAcuGETPls0w1m1G67AyfGX8CiNzRpJ7axIIKh60+tCNT3IdFgQBXG/+6zGQY8RiWcSipLW3GqxgvOI63QG3nFGzMrsS33bWqpbj53zQBcQsX6wpRxRYvWVNlOJB/M6wm4U5N3bchiSuOmrF12m3ip2qPqxwPs4nj3zaDDa0e9rF/6F9aNMZ0M554BM4BHPK0dzVgzU17Wh3BiAIQJaJBavTweEJwGpkMWtUIY50e8DqGJycMxwF7iCg8wEMA5OejYiNGFWUhbU1bWjq8sAf5GHU9z/IXuo4JHqNaX+n/Kx1SZfPM68dHOcHy7BgrEXAxO+r5nH7OQgA+PyJeGd/NsZ4d8DsdKCp2w2vpRxb1tXj/EnlGFWchYNtLmTZg8hlA9AbjTBn5YGRknUkahGThJOcrIMNbwPDAkJQMyoeO329EPCA0cZeJJL9UOow9hIjJggC9hx14JPdLeB5HgIEWIwsRhXbMHV4Duyf6dHeyWPFzhb0GMS2ODwBNHa6sejUKpgHXNBZkeYaiF48NhaHvwHqvxKFy9i54elKoeRq0wixNtU5dai1A7zAYWShGUE+iEDoerXpDGhnWPg4H4JlpwAlE8D43WABCAEfOC6gsrTl2/Ro7OTQ2uPFichN7FroPBBaSLXYdk93UtLAS9vJCzzqHfUAgCDHw+73oBs+zKwqQo4ldlHnYpsJR7q96HL54XD7kZMDTTmOgMYixgDoJQNfnHA8p3IHAwDwoqUSDAM2SpjKlsZufLFPdDkdU2LD+ZPKorqInliRA5tJD1+QR5Dn8fneVjR0uPH3rxsxosCKkmwTKnItUcWpjFaIsQZxX8RlEVO6JUcRYnFkTQxwPNrsHhw+2IEdTeJg1ILpw8ALAvxeNyqEXFhNLBibBcjNAjwBzBtbjP/Wi88JACgzMxhvy4Y+5GExVqdDy1Fgf0cARlaHPKsxvE5lDUE+qBZierNotee5yPtMdkVYyCkHt+JN9d8XykQ/0kCM9Bw2aO7HUVA9W2IlP2GN4BWeErJF7FgXYi6XC1ZrZLrLzs5OmEzxpy4lUo8gCGh1t0KAgPVH1qPD2wGr3oqLRl+EIktR3wsA0N3ejH1r/g+c/Yg4wWBBYVllr7/RsSyKJ5+D1o3/hH3P59gZ8MF5eBcEdycmIB+H25vgKK1Es6sZ5bYEikESEaw5tAa7O3bLn6cWT4XNaMM3zd/golEX4bNDn6HL2/8iwkbWKN6kD3wGZBVHWsQ662Cs/x/grIfJWACjzggf58P/7f0/AGIijxJrCVzK4roAtjnq8W1PDeCoxUz9iZgBXfSgW6kDJLm4+Zzhori5vSR90abodbYCdV+EXcuk7FWKTmKruxX/3PdP8WuGkWvh2Yw2uTNjC3VMd/o6sHPfW9jX0oMuF4dRlu9iWvlozJ1QCm+Aw1e17ZhemY8RhVZMqwy1vSYfcNdHTWFf01mDL5u+xPnV5yPbrEePN4gWhxeVBfGnGl7duBodng7MHzMfep0e/9r/L5hYEy4edXFCYuyjuo/g8Dtw6QmXggGDf+77J2xGGyYUTsBnjZ/h7BFnozq3GtvbtofPs5p/osu+E1nmXFzG+2AJuXtubd2KTw9+jUD3DFjYsPuh3pINq8+JTwOH0MUFUcDz+HRPC9gaBh4/h+kdXpiCPfCzWbAVcjgpK/SQTjRGTOqoho7fxs7d2H30S1x6wqWw6XQAD/VDP0ZB553tO/F1w+e4KOhGqV5xTPrjmhjDPUcQBLy09R1sOdSKYaaT4DJ8jYo8AwQdg4MBBgfrAI7ZixbWCbtnHUYbvo9Tqguxr6UH3e4ANtV34oziUNv8sTs8vSLtLzlZR4zC19GQ4jZ7jqqnK+M0na1A8Tj547fNm7CpZw++n1WNLM6AtQ1r0Mi3gOvIxU6XXhaGNtYIMAx2d+yW73csGJwXcOBbfwcObf+z6txodXhxoMeFhoNmjClfiC2tWxDgA/jB2B9AF6sYtoQU32grDrtAD7Cj93H9x+jwdOCckefgPwf+Az/nR6vDi84ePSwCjw36JtQf/hfyHcPxoxN+JA+oyeiNsBr1yLUYYPcEsH5fE84tHQlGaxETlBYxXXh6P9ncshkbj26MFGKdBwF7E4BulDEuLBizQDVws+NwNwBgZnUBThtdGPP+wzAMqorC1lNWx+CTXS1o7/GhPWQl0zEMzptUhnFl2fLyVcvTJutgjaF08L2klJdQntdBrRATVKJHtohJ+4LRAQyLg+0udLr8+Lq2BQKjx7QReeH7tp8BpFp2OlZ25SyxGXDVd4bhQKsLZoMOlZ4e6A+E11WdqwPfY0KDz4Z9rZ04sSIHWUa92goHiNupN4VFp8EiPl8ELvI+k6fotxmsAOfQLGeAcYTKRD95I4Exc8Pr1Ed3I5bY0rIF29q2YcGYBWLZo1iDx8eIRSzh4dUzzjgDr732mvyZYRjwPI/HH38cZ511VlIbRySXne078a/9/8K7+9/FUddRGHQGXDDqApUIE3geXW1HsX/rF9i9YSUa9m6Bvasdm1csw8Z/Po097z8lijC9CYbiMSg/5RIwcaTCHXXiTBiKRwM8h559X0II1QHSQ4cynwCv24l9XfsGbduPB1wBF/Z07FFNO2g/iDp7HXycD7s6dg1IhBVZimDRWwBHE3BoI7D3QwzPHg6DzoAKWyhwvXE9KtzdMHrsGN68GyOt6rTdEwsnQsfocHL+eBgU8QR7PUcghGLJ6riQMInmFy49YKSadP6ecFHcXLWVXoXWD/7QRuDot+HPUvY1xQ1cWRNvRPYIDLeJ2zoiewSGmYtQyFow1pAHPaMDrIUQBAE93iB4gcOkqgAumTYMWSY9Cm0mXDJtGEYUakSUMXYnuc5RBz/nx6GeQyjLFR9aR+3xBzYLgoCazhq0e9pR01mDHn8P2txtONxzuO90/Ao4nkO9ox6d3k7YfXZ0+7rR4e1Ag6MBdfZwGwGozzNXMwDApWPR6m6Vl1fbVYuD7V1wcuFpRr0OU0ZXYmy5DQFLEGyuAQXZPPxBHh4/h2yzHvk5NhhZHXjWhENuAw60u2D3BCDEK8Rki5g6Rqze3Qx30C22kVG4+Mg7ILpr4oHuA/AFnGgKaooJJ+KaGCOmSaLb48G6+hq4gl2wZTejssAIPatTdTpZRkBpjhmVpQKuPK0Ep48pwuwTRPfcrY3d6BFCnSm/M9oq+kZ2TexH1kRP6F7jalPH9ymFmKtV9ZP6rgPw8UEcDvagvsON7sAhFGQZYTNLLl8cClgzTjAVwaCxznMCjwOcE4cCPRFC0Rrq/Dp9Puzv2o8mZxNa3a2qMhsxkQaNjNnRazYliCAIOGg/iG5fN3a074Cf84PjBbTbrchnJoEVBLmT3eXtQrevO3IhIbFRXZQFHQO0dNpR1+7qJUZMWW+q/9a8OntdpAgDVFahZpd4TUl0uPzocgdEL4Cq/IQGgcaX5eCGM0bhvEllmFaZh+JsE3hBwOc1rdjf0oM3NzbixbUHYfcotklrEZM+xzN4EC1rovLcldoeNX09g3Z3EJ0u8Xc6gce0EXmYc4LCXV7O+BlyhdaFY8pMehYTK3IwqtgGA9TnFxPwYFRxFqx5heB4AftaehDkefGexTCRSXSUFjFp27X3mYJR4ffa52MyCn8rLWIMA1SeIhYZV7Yrhlv2hqMb4A168VXTV6H2xBZistMow4TPrVjFzocoCVvEHn/8cZx99tn45ptv4Pf7cdddd2HXrl3o7OzEunXrBqONRBII8kFsad0CQMxqV5ZVhjOHn4lckzgqfaS+Bi37NsHXdhCCNzwyYgdwlDVCUHRIDMVjMPaMS5GbH58VDRDjxcbPWYiar/4Nnd4AW8lIjJxwCr79eDmGt7mxpeMoarNr8d1h3wXb3+KmGQLHc2AYBjpGB47ncMR5BD7Oh3xzvuwCGuSDcAVccPgcOOI6ghJrCapyqlQPsS5vF/ycH6VZotjZ17UPAgTx2JbOwttfPQhPVhHYkkkAgHaP6M6Vb87HD8f+MOF2G3QGcf2Km+K4rAqcMPl6xQ3Qi2F6G67LmQiGYTDB48eZk68HILoNSPXGKo15uD5nIt51HURL0AVf0AcYxIeIW7JMAJFBt9K6JYtY0A901YvvtYV8lWiDyJ3N6s9GmzjyrbiBS52JEwtPxJnDzwTDMBidNxoMw2Bk6XeArg4whaNxbeV14G0lsPuAxqZVOMrtQJY5joe+5K5xZKvYnsmXyeLME+qsegIelOdasL/FiaP2+FP9ernwA67V3Ypia7gz4A64I1xMY+FRjKK6g+6w6wfEJD/S8pT/2z3t4c623iwvQxAEHHZ0wOkLItfsw09njwKrY8AyDPR19ejq4pBj1iOnqADfHZuLg80sKvIsmFieA93WIsDhx1GmCF+229Bm96GtxwenvxMnlntQkWeR19HpEju2+VnGcOa1GBYx6SgFhWB0a08M10S7zw5wfrgFTYe8Xxax6J2RTQ3N4AUg26zHsKIg2j0MphVPw8llJ4dn6urCPxw1YM0G8BDP3eqiLAzLs6Cp24P9XTxOAsKuWYkGsMsdulBnNlrNomgIQliIBX1iuQEpAYtyeyUX0xBur3hOdQYBi8cPwebHyMISLBy/EDaDDXC2wtDjA2PKwjWTrgEfOia7OnZh/ZH1aA+1ywAGV4fuO4Do8vdQ+0o0eXegqaclvL6AG9nGPmr0SZlZTbb4t78XvJxXtqZI9+QsphKjTOOQZzXih+x0mA0C3jMXoJPziPcCbT6FkLXCYmBRbDPhAO/HkW4vRukV9wg+oIgRYzVZE/uHdC1/f/T3UWJVlAqpWQkw3+L/9EG4Ie7XLIN4f6ttFfffyEIrTPrEn+0WI4sJ5TmYUJ4DjhfwxtcN6HD68cG3YUtrQ4cr7NatvbdJxywel/xoCS+UAzMK10SZ0Pe8wGDdwS6UACjMMuK2s0ZFluhQ1MBT/dda6yKyHvLQMQxmjCrDzq5aeAM86tpdGCs9d3Uh10KtEJMElsCFr7ucCtE6pfQg0XqMKItZ9xdOIcS0xOGWDSieY7GOHWtCVDtntIzLQ5iEhdikSZOwb98+PP/888jOzobT6cQPfvAD/OxnP0N5ObmVDUUEQcDO9p1wBVzIMmThyglXqlwdjtTtRcPnyxQpoVno8yuht2TD27QLAucHY8lD+fTzkV1YhoKS/tX9suXkY8YF16im5VdPh6+tFoy9Fd6gF63u1pS4JwqCgA5vB+rsdWh2NcPAGlBmLUNZVhksegtcARf2d+1Ht68bZww/AwXmgSdKcAfc+Lj+Y3l9VTlVqHfUq9KjTy6ajCAfxAH7gYi06QadATajDbPKZsHDefDl4S/BCzwmFk5EliELezv3AgDGFYxDrqcL8PUg6OuBw2AFrAXo9IpWSJvBFndHPCrKB7mnS12YNyRkmLHnALWfAu37YRQQ6ebABcAwDEwGCxB0heq0iDdbt8BB0OnB8MEo9VBCD0djlrhMSTgZzLETdQBioV+lH7wySDi7LNwpVqxPEha5plxZaMr/+YBcKFhfUA0AaO9wwKizijEOXByiyaB40DmOAs3fAiPE9PeSCHQH3RhXELaIxVsmxK3wvT/sPIzq3Orwd0E38pDXd/sU7ZCWqVy3dD4p2ypPl/avwSK3xct50dgpxkyU5EGdCU1nCIsaQxZYvR/nnhhus9SZKi/Iw8ySkfB/ux12TwCOAIMPvz2K70+rwP4WJ/Y2i2mxAVHA/OjkSuRaDIrgcHUdMT4kLDmeU6SmDj30pSB3idD9URokAR8U22y0hq2aSYoR8wY4bDksCoaKPIu8r7ON2eFrl+cB6JClM8DF6OT9zzAMxpdno6nbg72tfpwoMDCCB+N3qbNW9oUyGYnUoYvXIuZ3qS0vzrawEFNaxDxdgLtTdtNyB9wAw+AoLKiEB9lGwGxgkWPMCT2zJEuCQfUMsxnEe1CnIK7TqjNoMrkCRVm5aPICh3vakWsRj5Py/I69LSEhZrQpkp/0f8RdeW1Kx7XdzsLAMJhUkYPcBrFtWcZsdHo80duocL+zmvRgg360O32ATVuOI0oSjX4KMSnWFwByTDmRzxCGhVVvgBtAu9uBrXUc9CyDfS3i/htdrMn41w9YHYO5E0rx3tYmWAysbAlrcSi2OyJGTLpe+msRU8aIRU/WIQgCPtnbhoN2I0oYBsPyLNHFA6+wiAGxXX2jJSYCYNTrMWZ4KXbXi4mgij0BBHkBtQ0OFOp9qPR5YTb5w79RWsSke7K1INKNP6cC6KxTbHsSErporelK4syaKPeBYh07nR5CyKqoeipmmGtiv9Kj5Obm4je/+U2y20IMAoIgYGX9StTZxYtsavFU1QPM7bSjcd0/AEGAoWQsyk/8LkqGj4HBKF48Rxtq0HrwW1RNOyshC1i8VJ4wDW2b30eBX4DT3oEmZ1NKhNjXzV9jS8sW1bSD3dGzR/679t+ozK5ERVYFKmwV2Nu5F3afHSXWEuSactHkbILdZ0eOMQcVtgqMzBkZ8ZDiBR6fNHyCoy5xFM/P+WVXTKveimxjNlrcLdjRvkP+jV6nh4k1odRaikM9hxDgA+jydmFl/UrVspUxYXqdHmPyxsBw5FsYGRZ+gQPfXgMMnwk+1M+06jWjX4kS6mC5/EFs3FqDnbwP8yaV4YTS7PANMG+EmAzD1wP0HAHyqzTLEOczS20ReLmDwDM6+Fg9zFGFmKJjYcwGguIIOnKGyw+3IMdj66FujCrKQqEt9BAw5wCn3y7GhR3aiB5fALUtTgTHnINp086Coea/qnYB4U6a1WBFkOMR5AWYDaEHZzBytO9Itwd6xgybSR9fB087Wqqwpkgjz+6gGyXZJrA6MVbK7gmEA7V7Qbl+V8CFw86wm6W7lwDpiOUo5vVoHpqSNcIdcCPIB+WHJi/w4Qes3iy35bC9Ax0ht53y/Eh3Zrd0bNko+0+6ngxmVJWXAy3ZCPI8OtwmNPqC+L+vw1nnDKzootLjDeK/24/g8lMqYZBGfIPeUH0bcV3B0Mg2L/Dh0Wnpoa8990Lb6/A7RLcknhfbbLSFhVhCWRM17pIheF7Ayp3NcAfcsBpZ5FsN8r62KkeuQ/vLyohubMp9NqbEhs/2tqKlx4f1TV4MtwQwJlEhFvSFO2TSYEuUOklRkVLQS7haFZlKFYMgggB8/RcAAMfq4eWDgMGCoz4eJeCQbWRhYk3hZ5a2EHcIab/woXuANYplstSWC3QATp8fuRZx3/d5nQpCOIbTZEuKe5+0TrsngA6nDzkWA3wuHUpMDCaWWYFQzjOr0QZ4WqO3UXHfsRpZsP6QEDNrsyYmT4j5eb+c6CniGRJapiU0fceRNjS1hDvPBVnGyNTr/aQiz4Jb5oieCftbevDBt0fR2qPY7giLWOhzojFiEUKMQbi7r05f3+n2o87rht5kwgllecgy6aKLB8VgN4DYBaDl+lu5QChDrzi/Djk5uciztqPLHcC3h+1w+zmYggz2ex048MnfMLfYICf5kD0BBF4hjKKkq686Axh+CvDNcjHbbVJcEzXukUqUg1C9JAaRsjXL+1JvUqfF17EQQhFWOqUUO9ZdE5cvXw6bzYYf/ehHqunvvPMO3G43rr766qQ1jhg4h52HUWevg47RYUrRFEwpnqL6/uC2tRB8LuhsxZg6b7EswCTKR45D+chxGCyMJjPMwyejqKENu9sP44jryKCtS6LH34NtrdsAANW51ajMroSf86PZ1Yx2Tzu8nBcWvQUl1hLYfXa0e9qxv2s/9nftVy0nWtr/XR27YGSN+N6I76HAVCCKNL8dhxyH0OHtgEFnwPwx89Ht60azqxkjckZgRPYIMAyDms4abG7ZjLKsMowrGIeKrArZAhHgAnAFXNjVsQt7OvfAzJoxrmAcii3F2N+9H3pGD7PejBE5I2BiTYDPDotODz/HiZ0pv0sukmtR3ohd7aJ1Kc5aIj3eAPbXNaO4y42j3R50ZjcjmDcSq/e0YlieBVnSA4Q1iIG5LbvFGC6tEAs9uE2SVSiUelfHMOB1LNwMAzMQ2RnmFB2LsklAw//Eh1r5VHmWb5vs+Gp/O77a347LTqlEbasT+1t6YDPpcbpZj2GCgAOtTniDPPZ0sti98TDO0/MogQAmikXMqrfi/e1H0NjpxrTKPJw+pggG6QEResgHOR71HW4YGAtyzPr4xI5R0zEJPfwCfEAWNe6AG3pWh5JsE47avTjS7Y1PiGnWX9tdK3b4GSY+kSgtR2kRi/E7t6sFbmXHWxCAgFc8lgqL2Pq6QxAEIN9qgF6vedAPOwnuxjWAqSpq+1Vpj0PnsV6nw8mjS1FzhIEAAVWFWZg0LAdVhVlwBzj84+tGtPX4sLPJjunFCouYoiPKhTpTKtdEqVOktVSFHv5SQXsIPNxCQBxwkJI4JOSaGN0itvVQlxjvw/gwpsSmskLK1y7PAd2i+LRIQkyxz6xGPUYWWlHf7kaAtaDL7eo1Q1lUJEuQwRwWPnLWxL6EmCYWtasesBaKx09qh94k7msBAB+U3XE5vRXtPUH4EES2Qae+X0nr1QoxSRiEzhMLE9m1KbSILojKEgB9XqcBd7gTqLSI9SVmuICYzTVnWEQn0x1wo9Plx/6WHvCCaM0ZbTVjYkUObIrNshiyY7dRITasRhZ63o8ebxB+nztcqpnTpK+X6KcQk9phZI2RyUPkgQILAD/aXA4AohfJ2RNKMLE8p3+FtGMgXRMlOeJ13aEs1q3t1Gst3b2hFGt+F+A4IrvtCVJcF6CKERMEHk1dHghFOpxcVYDCIxbxmo4qxCSLWKhN0Sxi7k4gVKcSxqwIIQZjNkpzzOhyB7C5QbzOxgP4UncY8BxGddsEnFCaDYZhw5ZTnlOLGS0MI/YBpOsqGRYlbaIfJUpLXS/Fl2UhJu031iC+JHdhHQshtA9lt3lWD0SLYxzCJCzEHn30UfzlL3+JmF5SUoIbb7yRhNgQY1eHWIhyYuHEiKLJwYAfzoObAABlU+ZGiLBUMWziqWhp+B+CzsM43N0IjucGNU5se9t28AKPClsFzq8+v9d5JcuVM+DE9tbt4AROtI7ZKnCg+wCCfBAjckYg35wPu9eOOkcd7D47VtatjFiWkTXi7BFno9hajGJrMcbmq9P+jysYh3EF0UWvgTUgj83D6cNOx+nDTld9F7X+mtcBK6OHHaEbmUKIyaPq3Y3A1jdEkTTtil73AwC09njx/rYjyGrrhK9L7DQNN/vgzTGh1eHD25saMa+rByU2I/SsUUye0bI7nNVQSagzYJbaInAwCAKydEZ06/TwSM9S5ciWMnkHawBGnia+NOxvCWdkfHvTIfl9jzeIL5vdmOlxwhPgYWQZ6C056HD5sa6rB6N9dhj1zagoDiDXaghbpbwsGjrEZW5t7MahLg8WWN2wAfJDbcPBTjg8AeSas8BZDPBxvr7PY6PGBz/UIddaoQRBQHmeBUftXjQ7PJhYkRN7mYrfKfH6XWI6cQCe8lP7/L2Eqi2BKG4kfheCTVtgF6yQe4CcDxB4FOmz0Ko3wR10w+PnsKc17GoXsSxTNtwnnAu0bo3afrnzoDeLltBQlsuiHBuurhoJVscg2xx+mOewOswaVYjP97ZiR5Md08pLxce0pnC41P1RuSbysYSY2EkLCzEOHoFTH0c2gUdqlBgxQRCw7ZC4/AnDTOji1cuTBcfBNWLCGYSsPwwTsc9mn1ACI9uBQJsFQb8An9uBhO7wUr0v5YBBvK6JkhAz54oj7F0N4kvJ2HOAssni+61/h6dD9BCwc0Z4GAGMQYABnMYKqKn/FkKeJ3S9WaMUFs6ziNsR5MKd7YjzTIvU4TNaxWXH21Hd+wHQuhcYf4FqkAgAOj1O1LY6EarpC0EAzKwF3xlVAPChc4HRwRo6r/qyiOl1OtgM4jY5nU7ITvQqixgL2ZrTT7cz2UMgmkeFZJ01WIGAH51uJ2wAvj+tIikuibHIMethNrDwBjh0uPwozYlifZHFToIWse5GYPOrwGgxCZ2qjhjCrondLh9cfg4GPStmxG2OYeUCeokRC83r6xGLnUsWH63XBMMAJhvyLAZYDOFznDPzKNGZ0Ob0odXlQ7nXghybWVHXjAtbcaNZqCSSkIxGJorXiAxrDGcqDnhiCjHZ/VM5oKA3h69LRinEAFSdDlSfOfC2p5iEhVhjYyOqq6sjpo8cORKNjY1RfkGkC1fAJbskTiycGPF93a6vxVo45hxUnjAtxa0LU1xRhRxzMYy+I+jp6cRh52HooIPFYIk7rX5vbDi6AbVdtTDpTSixlGB3p+jKN6NkRp+/NbJGTCoSk11MKJgAd8CNsqwyMAyDGaWRv59VPgvrjqzD7o7dYMCgxFqCEmsJsgxZGF8wHubeboLJxOcQR4UNVnFUV5EdTB5hDnXk5GQXvVDX7sKKHUfhD/IYZuSRZzHAamJRWcpg1IQy/HPzYThcHjS0u3C4wwW+sgdlpkIM43gYHIfDhSYlQg8ek9SJ5XlYwcDKGNCtYyF3PZQuEsrOX4xseS5fUJVdUK9jUJprxkkj8rClsRs9XjPanFJSAxtOPH0Cvj7kRpO3DO6eneg6+C1W+SZh4rBs9Pg8MOp1ONAqtsFk0EGvY9De48OmI0dxZq4AT5BFV6dbHpk8d0IlPm0Wa1N5gh4x1X0s9CbxIX/gc/Fz6EGp7BzyAg8v50V5gpkTpU6TQWcQsyQqLX2++DNn9mkRC3XWO3qagMJQ5syQm16RtRitIUvN7qN2uIOiVTLHYoA76I6Id9PGo6konyY+sEtPFDONmULJVVhDTAvhhPJsrKttR4fTj8MOHpVSr1cSGDoWwZAU4wTF+Sl1lrRJNBSuiQAAnoePDyKoN4mZMwU+MYtYlKyJDR1uODwBmAw6FOcw6OpW/0QWHNK1C8Aa6uho91lBlhEXTinHx/ttgAdw9tgTE2KSRcykSGYRrxALZcVFxXQxa6LXLr6UxZyVAqv0RLjadiHIC2hyMeDBw2zVAVwAVrDiIELJxHBnUtNxM+qMYBkWnCTEEEWIma1gGAYBLjxa3qdFTBkfBsRfR61VjNfF4W8ihNg3Dc3geAHZZj1GFFpxoNWJ00dXiAMJnvBIv3Sso1vE1NufF6oh53K7UCB9pS3oLImIAVrErNrEDoplWvVZEPxd6PI6YTMC+XFY7wcCwzAozTGhocONFoc3uhCL5f4XjWjztIr9BYHRQc4iFbKICYKAxg7xmE2oyIXFqMhOGc0ixmstYprBH2erOkujQTNYxzCAUbSSTyjPxt5cM47avcjLN8Hk0sFiYCH4BDh9QeTkGtUWN+l+FqvWJqCw+CbBNbG3ZB2h+GoEPH0m7BAEAYxsSQwVVe8JJdvS6SGEjm9C5UyGGAm3uqSkBN9++y2qqqpU07dv347CwsLoPyLSwvoj6yEIYhY9SdD4fV5sW/FXgOfBOcR4pbwx34GOTW+mQmNeBUpb9qPd5cCHBz8EIMY7XXbCZcgz5/V7uUecR8KxYH6gzS3WthmXPw7Ds3tJdx6FXFOunGUyFqyOxZnDz8R3h3237/o0g4nXDqtOD5htgN2tSpEuP0i99vD8XDDmaP7eZgc+3tkCXhBQWWDF2dn5MDaFrDLeLhTbjLj2u1XYf6gZXCsLt5/Hhnqxs3pqsweTS3lkudqBbEUq+9CDx6R40Fh5QWyzTg83H3oYKUeeVUIseoe3pqUHggCU5pix8JRKCBADvAEgx2zAe61NAIDheRYU5FgBsxWzT8iCd8QcdK/ejE67E1ZvMzY3urDH3Y3h+VngefFBcfGUCuRnGfF/XzfA0+bBFnsXahzt6MhuAi8ImFCeg7Gl2fhfuxWugAvuoLt3IQaIyTl4Toxd4yItYtLn8lxxf7f3+OMq7CxZnMqyysT08gqXG7e7M9bPIuhVHAFyfFOHrwsQysUHbCimptA2TP7djsN2+PkelOaJD2Ve4OHjfKqBCeXyI0RfTjkw6Qfhz5YCUYj14lJr0rMYV5qNHU12fFnbgcv1VrABF9AqlnjgGVYecQ3ywcgYsRhCTGkRAwAPBGTrjWIwfCIdAdk9JyhnNJQKwE4oz4GbV1tr9Do9DNJ5rwjit+pCQiyG66glKwfoBnocdiT0hPZpRIi0XqnNvSHdW7KKgJEhC+zhb4D9q8LzKI69UDQOu9vsOOr3wmuzINsUBAxegA/A2t0I9OwUB5SkgRvNfpbq/PWEXBKtUe69WSY9DIwZAT4yDjQmknCUxCgbhxCT9hugKlYd4HisrWlDbbt4/Y0stCLbbMD0Efk4tTo0iKFwvZYsT1HbqPG8ygtZxFwuF+Q8PLyioDPDKiy+g2ERC8WOGbIQ4AR4g24wJoiJcgaZ0hwzGjrcOGr3Yor0SNexkaInnmQd0eaxFgI9LVCFiEEABGBfixNun5iaf9rI0NXVm/BTFn9WzRtj8Ed7f2N0cpkWk57F5adUwukLomYzC7jE+FgOAtx+LmR1UrRFjhHrTYgl0zWxFyEmtSPgiZk1ViLAB2CUBxR0Ggs9C16ZrCOKJTwTSLineMUVV+C2227D559/Do7jwHEcPvvsM/ziF7/AwoULB6ONRD+ot9djX9c+MGBwekXYle1o/V5wnY3gukUrhaH0BIyd8b00tlTEnF+BiUIRCgLhB2yQD+LDug/x3wP/xZaWLQklGQDEzp5Uh2Js/licVXkWKrMrcWrFqfjeiO8lVM8kUdIqwrgA4HfDyhjEDisQKuooPr2teqv4wFHG9fgcEYvxB3l8vrcVK3c2y0JjwfRhMCprnHABwO+ESc9iUqkFU4bnYkx5PoblW5FtMcDJ2LCzyY6PNu+T66sAkB94ZkP4pmrheTHxgE4Pt+Q0puzwSO8ZXXgkUcGq3S1YWyMK7bGlNuh0jCzCADGe4MwTqzCiwIrhBZaQi5v4vdlsRtmoqZhYnoMfZm3HmMA2cLyAo108ApxYq2l4vgU2kx5nnlAMlvcjyAvgdAbwgoCSHBPOniCmc5YsjnGfr9KDSooL03S83EE3ss0GFOh9qGpfg7bmKK6eGqRllGeFEt8oOl9ub/xCTOlC6A66I125Qg/R9qAi9ipkfS3Kq4LLF8SGuhZ0uLwIMq5w8hREbqcqVX5f+27M2cDo76lr4URh5qgCmA0sWhxebBVCrsAhaxKnOIfUFrHehZhsEZOSlQhcuHOTSLKOUFFiAMDu/8DR2ogDbWInfvKw3Ij9Y9Vbw/csxeCUNSRKYrnZ2bJDsUauyGu8V/xObPG24hPHfjlZSNwWMW3aewCw5KvnUXQyW706fGOZjk5LNYxmK0YU56KDF5OFWP2h4+DujBkjBoSuu9AxtEQJEbEYWegZc2KuiVqLWDzp65Wu2IoBkE31ndjRZEdQ8GBYnkV2pVXFXCmSa/R6H9F0lEOJVdHZbYfbH1qGqo6YXt321r3Avk/ic9cLIbXDEi3Zg8I10RPgEBC8yLUYwOoYbGvdho/rPw6fQ0mmMl8Uho0d7rArm/L5q72ueyPaeS3HOKmUGHiBx9cHxfIDFblmWIxSHGUvCW3kAtusZt7QdG1NSa1oYnTiPe+EecD0K8Ewoku2I5Qt1MDqwEMQzwHWoLa49SWMgEFyTYwh/OQYWfV9VhDUF6874Fa7dJoUQoxh1VkTM7T0UcIWsYcffhj19fU4++yzodeLP+d5HosWLcLvf//7pDeQSBw/58cXh78AIGZJlOpMAYCjOZxgImv0qZhw2kVg9ek352YXVcABFif78lE19gfQ6/R4b/97sPvssPvsONRzCFtat+C0itMwvmB8TKEjxeZY9BZsadmCdk87jKwRp1ecDqvBigmFE1K8ZWkgNIpr1ZsBU47Y2eODosVFbxYtYs4W9c3W5wCsBXD7g7AYWDAMg7X72rAzNEI/fUQeZp9QLHYEta4EzlZxxJgLgAGD4twsXHZKJbwBDts688C3t6OzqxMf7TyKhaeMEMWRlKxDb5F9xa06vehOqWPhFkIdDS6Ka2IUy12rw4udTXYwDHBiRS6mV+ZF3TUTRpQCdVnijV15QwfEeJXmHciHE9ONTdhqyUWn04wTSrNx9oQSuRM8rjQbunwDdE4jxs2oQpu+HCMLrXLNKqvBCnjiTI0NhN1BguEEHUqkzxN93yLoqoFnvwkYvqjXRUq/KbYWQ8fowCtGet1SIHgcKLchaqdVsohxnnCdqlBnIi+vGocO7oYvyCOo68LwAj30rA5WfchiGHCrykL0ahHTYisRX32QYzbg/Ell+Pe2JnzpGYUKYxMqBFGsBxUPbTFGTGsRU3Rcgj4AorupIzRoka0zoAcQU9ib8wBPt3i9xYvsnuMF2vejta4OguUSjCiwoshmijgPVC5hymQNXDh7ZTRs2fnwAfAkKMT8ni5s8DYDvixMdbeJz5F4hZi079hehJiig7b7qAPdhmxYs8owtjQbCPrFc4phYPW5ABjEe1RWyFU9ikXcqrcqYsQinw8WAwsDY4aHE2S32D4Fv7KGmHK9vVnElEJMMZBxIFRPa1SJARZL+FiqLEwK4SQdbx/nQ5APqhNk5I1QrbLAxGNUrhlMYwA1zT0ozTWj3BwIu3Tp9IpOeRDY9Z743lYsuo/GgTKLbASyRcwGb4BDgPcj32pEgAvgf0f+BwCYUjRlUDIiV+SZYWAZOH1BdLj8KLKZQnW1pIG7GCnioxFNLIaOicDoACacKbHZ4UGn0wtWx6As1xweVOnNAqco/qxqm3SctIXXbZqSLEwoGcmwk1ST7SFhbmB1ECDA4+fAB33QKS1ucVnEBl6eQUZO1hHDPVVOYa8WYpxGMHuCHuQp6+FpLGI9UpgDw2asEEt42N5oNOKtt95CTU0N3njjDbz77rs4cOAAXn75ZRiNg+sPDAAvvPACqqqqYDabMWvWLGzcuLHX+d955x2MHz8eZrMZkydPxooVK1TfC4KA++67D+Xl5bBYLJg7dy72798fY2mZwfoj6+EMOJFjzMEp5aeovvO0iwHTJTMvxZQ5P0xbgg4teSViMV7B1YEiYwGKLEW4YNQFOKn0JJw+7HQUWYrg5/xYc2gN3ql5B93ebrR72lFnr5PF2jv73sGyHcvwyq5X8Ndv/4pNzWIikjOGnRH94XGsEnILsprzxYevdMPzOcEwDMysOSJw/mhLC15fX4+/rD2Iz2taYXcHsPuI2HG7eGoF5owLC5GIm7TU8ZAzJor3AbOBxaxxIzBleC5s8KLV4cNfvjiA97YeloWB2WCVH1xWxiCO7jNKi1gU18Qo7l/fHha3+YTSbJwzsTR2hi4pOxQQmbUwf6SctMQjcKjINuCCSSNx4ZTycNp6iG5QJxQaMaYkGwXZ2RhXlq36XnYpitcipnn4aQWPJ+gBuCCGBerFz6316jiCKEidpixDFnKMOapOgcffEzHqGIteLQaCoK4Dw/lDwddu6BgGnKkMbp+4X06scqE4WyzFILn3KsUWL/DwKGqvBfkgAgNIEa6kqigLM6sLAIbBJz2jsL+1B0GeB6d4/EXNmih1ouWEMjwO9xyGAAGF5kIUsiGLhcABEy4Gpl+ldr+NB9YEAQLaenzo7BAzL04fkSfHGCpRddgV14VkEQvwgaj7LCfk1upz9UR81xuHnU2hNhrDqbrjjZFSZk+V0LqYhzqEHC+gprkHQcGLomxF4WhWDwgCrFL9I69dESMWeQ+wGqzyvcEapT9ttR/AmO4tMARdCIZcn2PtMxnJU0BrEetViIUTBEnnULfbj3anHzqGQY6mcdFKEoDVw8ya5QHHiOswd5h4vk37sfg56MOc0bkwsAy8QR4NHW602p3qZB3SsVMKBGdb7O3QILUhqmuilNbeKAoxTggg26JDk3QOAeFzKMnoWR2G5YvXYkNH6J6ifEZIAjTR9PUSoW0TmLBFTBAE7GvuASMIKM02ieni5bgvKUFGlPX9f/beO06Su7zzf1foODPdk2d2dmdzXoVVDkRLsiQkghAGY4RFsmQbOM4kA/fCnIEz3AHmxYHv9eMcMIcNxhibIBsECkYiiEVIKKykXW3Os7MTe2Y6VVfV748KXVXdPWlndndWz1uv1cx0V1dXVVdVfz/f53k+jx+xaxAR874zll8Kl7+99pqhfhZPzk2f11TFmXe1oTSVC0fnjDmkJi6Iff1sI2Lhid2oEMtX8uEU21DNqsah8jiTpQptZuqFk5rosWHDBl7/+tfzyle+klWrVi3kNjXkn//5n3nf+97Hf//v/53HH3+ciy++mJtuuonBwcG6y//iF7/g937v93jHO97Bb37zG2677TZuu+02du7c6S/zmc98hi9+8Yt8+ctfZseOHTQ1NXHTTTdRLM6uKP5cY8/oHt8p8eX9L6/WFABGuYSZc4ocO5evOyvb14iWTJszQLYtxk45tWvLm5dz9bKrubjrYn5n4+9wbd+1JLQEw8Vh/nXPv/Kt3d/ihwd+yNef+zrffv7bfv2XgoJpm9jYrG1dy8a2jWdz1xaEwtQExcLUzAuCP3hIp92c9WSWmKLB6EHSagKlOAaHfxF6yXMHjjI84XzRPnlknO896dQ9re5M1/Z/8QZZbe51HxVigebNSqKFprjOZcucL6eSYXFwKM+pcWdfEnqiOnhSddJaElSVgnfjrZeaGJkNH5kqs2vA2eeLVkxfwwdU60yiETFwHCQTLeQtA2yTpmixtMc0aR5+kf1sI2Le8fJqxAJGG/7fI/toSzhf4vmpHKWJofA6zIqfZmTZFkV3ljGtpx3hY1ccQwnAMgoUzZnvb4ZZtdEP3kf8380yMTswMLAMYqYBtk1KS/L8uIJOkpakzpGpvQD0t/TXFarFitusGsWf+Z+Lzf5MXL2mg409LYwm+hiaLHNwOI+Zrx7DcENnr17D/Yw94W5bHJ5wDKn6M/2+M1/eqjjnUmv/3DesOM5grsTeU5OMxXrozSZZ09lEySz5qVze8QgN2ANCLKZo4XMlQmvWiUSZpSm/Ae5sOOL2PESLOzV0MLs+YrYdcGgLXB+BVNCRqRKPHBjlsUMjfP/JYxTKJqpWpjUVc/ZFUXyjAk9oUp6qfiaNImLuZ1KTPJcfQXv2O7RZRVpKJzEtZj7PRg7A8D7n95Ze91hEBqpBW3Bv3wPnlTew3nfKud/1tSao2OFrKhwRq0awFEWZPj2xtd+pXwIwy2SVIhevaKU34xzzY8MTnBidpFQx3YhYnR5oxiy/UwLbMJ1ZR1xPUXJXn4pX/OsF3GtskVjZ7pwr+05NOpNMwchIw15dda6Fuk2Y3YiY20zcBkbzJYamSuiq7UTDYHpLen9dkbq1moiY+3k09ziTOtFJxzqRXsM0mHLPRwWIxZxl8oV8df2VYvW+NqsasUU26whuRzQiFjluTmqiW49rwvefzXFszBmrnMgZ/PTECUYLBqURODI+vfHHucqcc9Je97rXceWVV/KhD30o9PhnPvMZHn30Uf7lX/5lwTYuyuc//3nuuusu3va2twHw5S9/mf/4j//gK1/5Ch/+8Idrlv/f//t/c/PNN/PBD34QcNIq77vvPv7qr/6KL3/5y9i2zRe+8AU++tGP8prXvAaAr33ta/T09PDd7353ydW8jRRH+MmRnwBwac+lNWYUp44fBMtESTSTaT23jFUUVUXP9FAZPsjYqaN09oXFvaqobO/ezsa2jXxn73f8gvn2ZDsjxRFKZolMPMNr1r/GSX2qTFEwCnSmOmdVC1YsTFEq5Mm0dqAEBgyDxw5w5IkHWH7hy+hduWGaNcwfs1Jh96P3kR86THPPWtZf8jL0WFXM7N+5g5OP/htKLMm2V/1XWrLt06wNKI5j2TZlWpgoTpJo6ae3XGagOEwqdxz23O+kwWVXQNtqzAM/JX38Ea5UdlC64E08MZ5m2J29vWZtHddKbxDYvtaJrOWOO18w/mx1IDLuip0VaYs3b1vFT/ec4tBwniPDE/S0uKmJsSRUiqSVajrOpGUwUClDfhCmXIekqQGo5MFM+I+dzBW5d+cAhmnT2ZxAi40zEEnBao410xxvZsqYYqI8AZjOeiyjuu4gVpkRy7FgrzvoMIqB1KsGA0Lwe8UF6Uh1oCs6k8YkLfEWSmaJ0fK4sz3FUZga8FPfOlIdDEwNMFIcYWBgNygl8nqJUsXm2X2/YtlG17WznIenv+1ECS56IyXbwMYRNUk96Qgxy6RZjVGwTUqVIkcnjtISb2E6vAGqrupkE1mGCs4AMxPPMF4ep1IZp0NLMlBxBw+mQYdlMwCkU208f3ISXUnS3lzyI3ArW1b6vWGGC8P+8fHqrpJ6krgWZ7w0ztHJo/4sfCaeccwYyhNMNRg8esvkyjnyRp62ZBsJLcFEeYLmWDO3XrSMbX0tPHkizvjEOInmahphsEbMNk2GC0PY+UE6bBtbT1K0DNKWExEDR1Aed0Vowa5gWiZDhSF0Vac92T6re8543kArVfxBxcr2FC+5pJd8Je8fo4SWIKWnGCuNRfpphaPSKT2FUTY4MnGETDwTev9kuoVsKsZ4ocSv95/i+m2OMYQXDUrH0kyWJ/1zfagwhGWZHC640RI9IMS02qiKYRkMFwK9jsyycz6D0w/JCEbiKpRLBXaezPG4/rz/qK7C6i4VRVH88554ExTHqz3BbLta11rvuos5qYkJVUePDiRdk5AmVUezp1CJ0RRrqjnPfCwbdn7L2Y+ebeixOB22jeJHrw1n4uPRv3NE4xV/4PwMNsEG515h2+w/lSNvjtDcnOZU0UmLbEu2MZgfrB8RC4jvKWOKE1Mn/EhsLLDvhqJSsSqkVJ3x0b0U7CI9PR2cmjhOoVTm4b1H6TIGuWZthZQ38A22jqjXksL7pKwKw4VhP5LlXXfTmXVMGDBZdK+j2AiHc1UhZlhG6DwrVAo0xZrIG/nq9a8laU22UjJLKCjEG6W1RVjX1cTP9gxxbLTAk0fH2R6KiNWxr9//kNOD8pI7wmme04gnGxgvVJgYKzAZK6Jn4UXr2kkc8qzoa8VV8Dp2HvNqLb3XKO5bGOTLkzS7QszQE4xMnSRu2bQBJdtk1CxBaRy9MERHsoOK7WQN5Cv5kECLx1XsMhwZyTM+UmAtVGvPFHX6OtbZRrxnwrICDZ1nEGJGWIhV7Aq27WQJnJos0ZsYYktLhuFKnt0DwxzWoGskz9BkiR8XnmfYKNJsK7ST4qE9o2xMjHDZqrZQffi5zpyF2MMPP8yf//mf1zz+ile8gr/8y79ciG2qS7lc5rHHHuMjH/mI/5iqqtxwww088sgjdV/zyCOP8L73vS/02E033cR3v/tdAA4cOMDAwAA33HCD/3w2m+Wqq67ikUceaSjESqUSpVJVeedycyyCXiRMyySpJ+mOd3Nl75Wh52zL4sSzjnFFvGNVSGycK8RaOqkMH6Q4MdxwmXQszSvXvpJfD/yaNdk1rG1dy8mpk+wf38+2zm3+4DITzzgpWTNgVio8t+OHTO55BNssozZ10LbxWlZs3M6po/s48ctvY5tlDo4dp/MNHw4JpOh6jh94hpa2Hlo7e2d831Ixz9DxQ7S0d/PcfV/Fch0sRwf3sHP8FNt/+01M5kbZ/bPvUj7hRDjt0hTP3f//2Piy3/Pf49DuJzi1+xHWXXMbbV3LMC2bPQePMH5whP0Zi51KDk1V2Nx/CRy5n3QpD7abLrL+esgPM1msYANJDa5qOoTWei2WbbN1WcZvmBnCu8G29DrRAqMAEydqUhMBxxADoDxBV0uC6zZ389VfHGQ4l6eYNEmqMeKJFsqFMVKKTto17yjaJv82uR8YB3vMWUd+BCb3gtEMe/4NgGeP5xgvGGRSOs3JFr6zt/a8VlB45bpX8u/7/90RBMUBKB2FsZ2QP1C7f7nnnFx9a3n9QceeHzlfqKm26v4F8F5zdOKoP3D36En3sK51Hb84/gtuWHUDvzz+SyanTjr7VYj5+wXQmepkYGqAw7nDHD72K6iUGEonKUyOEtt/D73KIWdwOvhs1S786bzv1JbSU6iKSjaeBatCStFRUChVStx36D5mS0pPhURAOpbGsAxyxlE6g0KsNEFnYZIBIN68ggO5IjE1SXuTM9hLaAm60l1+utLu0d3sHt1dc+w8IfbQkYf8xzVF45Y1t3DP/nsabmd0meZYM1f3Xc39h+7nmr5ruKT7Ek5VnuOhzgTq0DA/mWrFGp5iVXs65Jr46Oiz/Hrk13DyGS4wFYqTCvsmdnFTLM5UIoOu6ixrWsaYO/jJW2XuO3wf+8ec+tuXrnip3/KiEUXD5J8ePUxzYTvrKg8R1xQ2dCa559APOD55nJeueKl/7NOxNGOlseq5aNvVa1DTYdWLSZdPkCvnePjowxQqBa7oDaSk647RzHjBYPexYa5c10VLMsa/7/t3BvOD/jHb0r4FC4vdI7uda9mLmmpxpwUCBGrEqgO17+39HoP5QFZKpeScz4oC+74bbrA7tZ+pqUlGVINTpQfJpBxb9d5sknjcWbd33hNvcqJCwebMXnPbaWrE0openY33mHR62DVrMWKVIpqdJK3GGC9Nhs4zn3Iehp9woniVbtj9La5adhWXZdxMEtNwIl/e9pSnnEknr8bHc7V0a3MeHfwpJwoHiI1naU7opLSUH21vVCMWfM6rs2pNtPKmLW/yF//Xfd9jcnIP16eW88M9/wqTJ2hXl3NVJsm+8RyPmI+TMkd4+sADvHPLa4lB2Jgp6PAY4YcHfug4rkaP8zQRsaeOTaCTIJkq8+Twz0OLnJg6wb0H7w2dZ69a+yp+cOAHoXS0m1bfxE+P/hRN1XjzljfPalKjNR3nJRs7eWj3KR5+/hRbm5RqY+t6EbFDbkbI3gfg8rdVH/eWae6uNmn3hJiiMJo38Dqyre5Ic/GKDHhZ/pGImG0a/OOz/0jJLHHXRXc5EdAGDZ0fGtnJc1N7+J3CJN3Av5/8JSfMAlgWv10e4xfFE07Ua8CEwkGu6buGA+MHGCoM8ZLlLwkJseZUnKFikt3Za9H3j7EyYaF7kbZYMnw9Rlmo1MTgRFG9hs7QMCJ2cHiCJ4+OUyg7x+rn+45zVP8luaFnGbJbyLRvYTS1ijHbYtweI5OKc2GmnZ5Ckn22ws/3DjEyVebmC2Yeh50rzFmITU5O1q0Fi8ViiypIhoaGME2Tnp5wDn5PTw+7du2q+5qBgYG6yw8MDPjPe481WqYen/70p/n4xz8+531YbLrSXfzOxt/Btu0aM4v9z/yK8onnQFHpv/i3ztIWTk+yuZ0CUJ6c3tUtm8hy/arr/b97mnpChiSzpViY4qkf/I3jIAmgKFhTwwz/5h6GfxMe8NnFHE//57fov+AldPat4tTxgxzY8X1AIdO/lbFdP8UuTYKm03f1G1i1+dLaN3QZGjjM3v/8B+z8qN/RU4mlaFp1CZN7f0HhyBMMHX8Rex/6OnZ+xClYX30F+SNPYo4d47nvfY72i2+hf/NlHP/lv0ClxPMP/j8y66/h6bE4bceP0WwDqQ5WqDpTxhRGaRW9+iNsVZLVWdBUO5gGE0XnptuS1NGG9/DSa18RSi+swRdcCSeqNrTHSU/0rbUDgyQv/c/9wm9Nx+lvS6MMWIzky/SpOhd3XMCpqXE6tSRqvJlN7Ss5XsiBGnf++WKu4PytpyHeQr5sUiwVSWhxti9vD9VpeUwZU1i2xYHxA/510dSxATqmiW7qTlPSVCJb2yw7d9xpUq2oTl1QnQmNFS0rWNa0jEmjOsixbIspY4qR4githVYABqYGnGUUjRY1Dqj+vrYl27i0+1KGCkNMFcecGXo1jtW9gdGJx1GnJmhRE07EoTjpHBeA4gS0rkJBYVvnNgDWZNewN5ZhW1zBsE2eKA9h6alZWa0rKFzYdSEtsRZ/1npbxzYmjUkOjB/j8oTOiFliwirTUy5zcaKHoRadTOf12BOwLruBzub9VKwKF3VdhKqorM2uZd/4Pj990kNVVC7ougBd0clX8n5q3qQxiWmbHMg5ollTtJrBYHQZ7zEv4jbiRlJGiiOs6G5nl3kBxYqNPVbEtiFBHjPZjAaMlMYhHgOrwohpUbCciN5xYxxwJnh0VcfNFKWMxUQgIjQyC1fKZ447A41C8yZKeguvMB9Ew+L45HEAdpzYAUBLvIXN7ZuxbZtVGTdLwDKrM+vX/BeIJdk2stvf1+FiZCJLVcmkU2SSeTDL/PrQKL+1qZuR4kjomI0UR7DcPklpNHQ1Tk6xwY26OOuqNevwomFNsSb3e0d1zkctVmteku6ilCuQtm36WztY2xVO/e1Kd3Fx18WczJ+kaFmsmxhDDQ4cSwGhE2F5y3L6mpezYXw03Age/Ah2n9ZMVznOysQKNk/uI3/yWayO9dU0a/998s4+JDOUY2lKZsn5XNs2V/d/MiA+jbxzr/Ps7pOtjuCplCnmJxkrO+dEe6qFpB5jW+c22hJtFCoF1mYDzp+R47y1YyvjpXEqVoVJY5Kx0pjfKN62bUZKo6DAkcqEv88jCqxsSzEeK5IpKRgG7BuZYNdogZUFgxZtrFqTUhxzohd17mPeeVz9XKGvqa9hRMwwLZ4ZmKIzvoGe7qO0uC6CThYCvlj3zjuAA7kDmLaJoijoio5hGRybPOZH4ytWJRQBnI5L+lt5/NAoE8UKE1qWDtyI7nTmGdFUP2+ZC26HI4/Cscf8z8QE8oZJC7CqPcVF/VmUYK1txKyjYpZD0f/ept6GDZ1HyjmIdzJaHKFbzzJsTDmfiaJwwsr7qYcJLUEJ5342XBimYlU4VTgV2o/s8nX0//ZbOfSbY5SGDzA0WaY34z4/Ux/ThUpN9O7tqt64yX0d18TBiSL/8ZSTqhzTFFIxDcM02Ds6SJNhYusqvR0mqy95CwXD5EZlNzt3p+kxKmzMNKMt6+E/B3UuW9VW/z3PUeYsxC688EL++Z//mY997GOhx7/5zW+ydWtt0+DzkY985COhSFsul6O/fx71AYtAXWtZYGiXMzuV2fxyuvpWn8Etmj3JjDOTX5kaOyPvt//JnzoiTE/Qe8Vt9K3dxqFnf8Xo849gTQ2DHqd5zRUkWzoYevz7FI88wZ6jTzKw4cVM7Pm5f1MdHXGnxFQNzArHf/FPAHXFmFmpsPf+rziizRNhyQxbbv5Dsh09PDp6gsrwAfb88EsAKMkM669/G529/Qweu4LDj92LcWofI0/dS+7w0/4Aw5ocYuyJe+hTY+iqxvruZq5+6UVcT5Zv7DjM4dwkv6+vpAXdSVvTk87sWDLDRMn5omlJxpwb8PAep3FuI4K535k+R4hNDkKT6/AUioi5QszI+1/4qzvTjNomuYJBn6pxRd81MOxG6fQk16+8HhK9ULSdAdLWN8HYETiyAzJlaFvNU5lXsPNYjm3NRdZ2NfGai5fX3dTv7f2e88Xu1jf0pHt47YbXNt43gErCqQ3pe2ltxMubAW9d6RTM1yGpJ2veI2/k+eozX6ViVShbYZt6VYvz+xl3gLf5TaH6hts33A5jh2HoJCSz5C95OzsOfpaUMc4VZNFSWeeYtK50ltN02Pi7ISHdHG/mtR3bwXgagG2JDlj9ylpHrhlY2xq2ir9o5DgUf8NtHReFZtZvv+TtPHAiAYyzrWc1v7UpHJ1vTbby+o2vn/a9NrVv8n//1u5vMVQY8j/D/pZ+bll7S2j5b+76JiPFkVrrf/c1XkTHsAySMY2L+1s5NVFi36kpBsaLTEwOc0kzXKbh9plyhJiBk/4FUHIHZN6gVHevf8O2q0IFpjV/mCxVePLIGM8cd1Krr1zTTp9qs+xQMiRuvAFcNpFlQ9sGNrQFJg6C0R73WtvUvgkbmwcPP1j//bUYK9rSqJbBzqPjXLG63T8m3jEzLMMXvzd2X05fbpJ7zTH2Q0MhZtmWP6h+w6Y3ON8/ueMwOgrJDGz9/fB2rJ/iP+/5Bw40b+S6bVexurN+DebrN77eERa5zzsRwGBfKKgbEUtoCW5b+yoYOhE+RgEb92SylWvzJik7w6bcMJtaNkEZWHmzs0x+GHovcPr65Q1YdjHPdq3mJ0d+4hzX4L0td7z6e3kS6A43wbYqUCkzlhvHsiskdJVXrnuFMyB3qZnoidTircmuYU12DaZl8n+f+r+Ak7qloYU+k7xVgYr73rEmLMMmndRoVRROTUHZhAf3jXLlUI62dIFNPS1OpMkyHcGYaq05nt75cdv626bvn2lZYFscGytQbtbY2rGZ37vst/1I1o8P/pi9Y3tD55l3znjXZ0eyg77mPp469VToGjYsY9ZCTFEUsqkYE8UKQ70voSOnO43gp1xBVq/+KyrEgkLJE1bu66bKJqYNmgIJXXWyK6J9wcC/RoJOtZPlSWiitkbM/ZwNy3DFbAVbszF8UaeQ92pFFZWr27fyUPkUZavsf/55Ix/6zjDVGNlUjAtXZHl8RHMbXSdQUKa3roeFS02cjVV+ICK2/9QkvzowwmSpgmmbtDXFWN/VjKoo5PNxJmyFJnSa0km29KXZ2udM8PzimAWKio6KgsL6nixrNq5cUmmJMA8h9md/9mfcfvvt7Nu3j+uuc/pPPfDAA/zTP/3TotaHdXZ2omkaJ0+eDD1+8uRJenvrhyB7e3unXd77efLkSZYtWxZaZvv27Q23JZFIkEicG26Ds8GsVLDc2bsVmy47y1vTmKasU49kFUbPyPvlB52Z4PZt17Nmq5PKs/HSl8OlL6dcKqJpOpquY1sWRinP5LHnMMeOMfH8TwGI9WwEy6QycoTWLS9n3SUvY+dP/oXikSc4/sg/05TpqKl1O7pvJ3ZpEiXRxAWv/hNGTx6mY9lq0s3OF92KS27g4P1/A4AST7PhhrfT0ePU+nUvX0PXsj/k8Xv/H+UTz1AZPQKKQttFNzP2/CNkmKK9KU5Xc8K5EaXa6NbjXLg8y1NHLPafzGNZFhXLxm7q4vlfHsKsGGzKOzfd1LJNMHUIhvc2FmLBQnwtVhVfU4POwAsiQqzJt6enPAnJDP1tacZsk1yxgoWKmgp8yXs37mAtBjh2y256xYQBDzxXnY2+pL/x7FfUxGBWX+r+rGAdQ4JSYKA1B7ztsLH9SJDXoyumJwF3Jt0sgxqZTPGczZq6SCUSHOy+nk0nvkt5YBcpLwq44UbY+W3HQn38CHREzHiiqVql3JyFWA3eOlNt1eOi6tDSx+FnnJSmVe2n71Y6m8/QW6YQqXkJDv6gKpIURaE7k8SwnFoE2zQ5NFJkY4uBEXdnua0Khq34QqzsrsMzeYi5NScGFkag/sSYJq3n/mdPcmDIOY+bEhpXrWlHz5twyGvpEI7q1h0ABx0JA5EM7xgERaGPFieT0unTNfYVbR7cdQLTciIR3jELCrGYO5CKucY2FTsixMwK2HZoX4MmLt57RslZcZ7IXIeqKCxrnWF2Xo87Ufv8sBN5Dzq9NrqOvQmIStm5VylKaMbdzqyAkWGs3GCoKTZHdsCAM1FBqq0a7Wru9vfLsIxwFDlXdQT0a3CCTbArRSiMkcuNY1EhHdPCFvT18MVVeP80VXPaUNgWhmmQ0BKBdFGNvPt5ABBLYRgVDCySmk1zXCMf12nNNqEOw2je4NBInlUdaWdwXhitEWK2bfvXSqyO6A0vbFKqmJzMFbFbVF60viOUTujts1eHFzzPgsZE9a5h/7ybJU5vtgI5Mw7b3MkwL227nothUEDZdsAsJSDE3M9kslgBFBK6hoLt1M7VFWLONWwGro0Jr07SrxEL15MZpgFmGQMLU4+5Do0OBTdKHVNUdO8YVQp+7Z5TIxbob+ZeG1uXZXhip+ZkjhiW810x24jY6aYmetdctCF1kFiSsmkxNDzGf4yc8J1M47rNurZm3/l4fU+SgUocrBg0JYCqwDUsAxSVWMCxcqmJMJiHa+KrXvUqvvvd77J3717e+c538v73v5+jR49y//33c9ttty3CJjrE43Euu+wyHnjgAf8xy7J44IEHuOaaa+q+5pprrgktD3Dffff5y69Zs4be3t7QMrlcjh07djRc51JkdMg1U9ATZNpOc/C1iDRnHQMRuzSFUV5c9xvLNDFGncFix4r1Nc/HE0m/v5qiqmy9+mYuvvUPUZLOAFxt7uLiG9/C5a/+Y678/U+y+aobicUTXHz97xHrWg+WycFf/6Bmvaf2OO0WmlZupznTRv+Gi30RBrBs1SbW3vTHrL7hLi59w3/zRZiHoqps+603kOzfTmrVZay54W42X349V7/po2zdeiG9maRzI0o0+4OSa9Z1kIjrjJlJShUL07IZriQZmigxWrDY1f0KSpteTWbVdudNvPSaeriueICTmugJsfxIteg2OEhSlKpLoTtb3NWSIKHamJbNqXwlbNHrfRFqgUGdUay6SQHHJ5wvxmXZJL9z2QpWdjQe7HuDdm/mdcZBBQRmBev0UvFnvOs4Lk6Drjr1WVAdfFSFRbw6wIv2aANH5AI0O33c9NY+jmSvoGQE6hmau6p9muo5rEVTtab7jGeLJ5ID/aGsll5+fmCMsbyBqii+rfTpMJvP0F9mFhGxIMtbU2zvb6UnG8NWVPYMTjKSdweCZgXDtvzZaS8ipika2DYx9zow3MGxRyMhdmh4igNDU6iKwqWr2njVxX3OYMP97M06n33dOtdKfaETEgxRtBgKCleubEFTFXafHOPgcPg8NCzDf23MHUjpbh1TTUQM3Bn8qrDVfIe2xkLssPue3ZkECX0WVtObb4X1N9RODDUSNEFTBO8zCRjrKG57ATV3JDzRMhkoRSjlqlGUps7wcVWUaqrVROA13jUXvD+4x25yModpV0jFtZnvP9O06Ih+vsG6vXzwM4+lMFQVwzbBrNCWjrOpN8t1F/Sxrsu5b50YL7Lv1JQT1fEMUAJU7Io/0J/NNo8XDCwbulubWBmZfPGEmOfAGjzP/Gtai9V1/qw7qTANmaTzXrmgO2iwqXGUkBALCDVFC6Q0uo3cSyaguJNfNvvG9vHs6C5KtsmvigOMFkerrwXs/T/xReCp/Cl+eeKXjHnN4OtGxAznXhIRS3lPiKHW3Av935VgRMw5BsmYRluL67rpNfmeKSK2UH3E/J5ljd9vuKjyxJExnj86RMWyWdPZxNVrO7h+S5ffkxOiDZ3V0P3NuyZjkeO51JhXJ99bb72VW2+9tebxnTt3csEF0xcpnw7ve9/7eMtb3sLll1/OlVdeyRe+8AWmpqZ8F8U777yT5cuX8+lPfxqA//pf/ysve9nL+Mu//EtuvfVWvvnNb/LrX/+av/7rvwacL48/+ZM/4X/8j//Bhg0bWLNmDX/2Z39GX1/foorKM834oFMDpWV6z0mTDo9kqskRD5UyE2NDtHfXT/1aCEZOHXMGDHqc9q7ZvU8imWb1S97EsacfYu2Vt/o92FStevGrmsaGF7+OZ7/7WYxT+zh5dB89K5zoxOCxAxiDjo33ii1XN3wfb/lGJFNNXHLjm2ufaO6pzhqnqs6K6bjOtes6GTzaTLteYE1nE1Odq7hgzQoUBTqb15GKa076H0xbwO3foBXF7fWT9T8zfzATHYB5tRPuehVFoS2lkivB954cZO1EBt8ux3PE82b3jTIP/GYPqwZyZFNOysXxggFNcNGKVvpniLjEAjOIwb+nZbovI0/AzOA4GEVRHFt2wzL8L9HgIAQt5jbdrjOI9geF3QBkUjH2t1xETh+nlVPQe5HzvPelF3GhcvbFHYzGmxxRG20cOh8qgYgYzpf9z47HeWbYGXxcs65jdoPtGYjOqNcVYmrtACX4Gk8wNBJJqzpSpCYSlHIWe06NEdMzdFYqFMwKw+MlmgsGMauAadlobppczBXWRcsI9UiKvodp2Ty85xQ73V53F/dnednGwISYGpgVjzBtRCwyyJlJiAH0NmnctK2X7z65l8FckVUdaf+Ylc1ydfDtnkOxeDNgVtcZnGSxKlXhpsYCfQYbpyU97TaIr2mJ0Yjscuefd2+K7E/d/VR151oqT4LeHupnpGccIablDkNT4BoO9tMyy05kGaCpm1jZGWBXj0G8NlruXU/B+0PMeWxyIodlm6RiyZnvP340sb4QK5mlWiGmJSjY7vuqOmgxDEXBsK1A/yUVQ1Xpb05gWjYHhqY4NVGiJaHTU6yt7Q+eizNH8UzXWEGhJ5uuMdeI7rNhViNi3vWpq3rda3iuQsyJiMFEMfC6YFPjKEEhFkp9DQqxCpZtM1W2sHWFpK6B7Rz/nxz7OVOlIX5dHmZi8HE3rd45r0xsGDsE6Xb2jjnf+0eKU7w+uE3uexjuvd+wTYxYEqge/7ybGhlsUxF0+SxUCqH9sAKfV7bJEXX5sklHE42NM/z9DkS8T4cZmkebls2D+8ZZYdk0xytcsrKVF63vJKap7B8fh8DlWKgUAv3XlDpCTCXmnXJLtI/YvIRYkImJCf7pn/6Jv/3bv+Wxxx7DNBevV8Tv/u7vcurUKT72sY8xMDDA9u3buffee32zjcOHD6MGhMa1117LN77xDT760Y/y3/7bf2PDhg1897vfDYnFP/3TP2Vqaoq7776bsbExXvziF3PvvfeSTM4Qwl1CTLr1N8m2vrO8JdOjqCpqqg1r4iRTuZHFFWLHHYezWFt/SEjNRO/KDTPa2Gfbu0iuuIjikSfYf//fcDCZxa4UsQ2nl0esax1tXcumXce8aAmsMxClANje30pu6xqaxxxb+pbuHohGkrwoT3mimtYTJZgW5T3f1O2YdeSqfYdCxAPrdelq0smNga2oPH1snCsMA8u2aYpNOW5X7jpOjuY4bg2QyRuMuimU4819aC1KTaF/PaKD09kJsWnSM+YZEfPeOzgbHNomPeGYqERTCG07lCYFkE05x/5Q3y2s7CpA2xrnea8+tFJHiHlRinSHI8SmE9v1OPkMHH4Ett3uuzL654J7rh0YmuJEc5ZkTOO3NnexuXdm19LZMJvPsJEIiR7rRgM7TbX57W3LOPxYAtOY4uTwBOaE81mcVCv0lCoYpSlOnsixOqM6PdO8QZRtha6V4CC2XLH44c4T7Pf7SCW5em2kdYjfkLkcuu4UlHBEzLLg6W9VB/sRMeLNljdKTQTANNjY00xMt7FsyJdM1KSzvVZgoOoJMT3eDOZ4dZ2K6te2EoygBT+Tes2cgYHxIgPjRTRVYVvfHM+NzPLqJALUrRFztk9xzs/JQZgacn4PzM63da9gEJgslJkoGrR0LHOWC+L1RUw0QzxNzK298j/Xeu9drhMRKzrX4+SUIz5TcW3m1GhvPXX6F8a0GBi1aba09mO4rpCe2DAUhUoodU7BwAYtRk8GTNt22oiM5mkv5YluVV2B3QirQsEwsRSVjubagX5UyAUdEoPv4x2b4DU854hYynkvz4AKmL6vVygiFnhe8bwRAavCVLmCCWiaQkxTHZEFYNvk7Qoogc9j5dVgW1j7/7MmE+FUcQTIhCJipldnaZYxbIuKniAoxAxvckRR697nPDHiUQmMZ9qbkxTAdyCc1oQLqveJ005NnL5G7LFDo5ycslmtKly0LE18Y1fVyt+NQMa1OGWz7OyfL8TqRcTU6vm7RCNi8w6PPPzww9x5550sW7aMz33uc1x33XX88pe/XMhtq8u73/1uDh06RKlUYseOHVx11VX+cz/5yU/46le/Glr+9a9/Pbt376ZUKrFz505uuSVc5K0oCp/4xCcYGBigWCxy//33s3HjxkXfjzNJedQpKm7uXDHDkmcfrakVgEKusYX9fLBMk6Hjh6gYzo1x4oQzQ5XuWr2g7+Ox/qpbUFu6waxgTQ1jl6acWfSu9Vx441sW5T39pqNQI8QAMq0dVQeyqJsZVAWTWamfIgf16z9cgeATHWx4qYmB3P/uJp1LV7aytseZ8f/x1Hp2DUzwjdGN/ODpEwwXbSzb5uTYJInKJB1NcbKpGKoClqKzobu5rktilOigfcbZ3eD214tOBWtA5kijQZjuzmI77xmJwhl5ZzsUxf9Msyln2bESTi2YN/nku1DV+ew8gec1gJ1rROzZ7ztRg2e+E1inu63xJoxkB6OGznhyBW+8on/BRBjUfobT1Yg1olFqokfFrhCLxVjb1URni0ZSs9EUiMfidGdStCR0LNVioljhySM57EqJGGpVmNR5r2NjBb72yEH2n5pCVxVevb2PN1zeX3veegNQ26oOOHDc6kLna+6o02TYEw7aXCJi1Sivoih0tjjbMFGqfzx0VxDo7ux+VYgpoabOdYWYn5oY3r6dbjRsY08z6fgc54BVFboDZmDT9Zfy7kdeSm8ggtjW1k5Hq3NuHhrJY6c7aidVvJRDN6tA94VynaigR3nKuW8G7w+xNJZtky84wjkd19GVGfbbE5rx2ki/vx3R6G4sBV2bnM/GNRAyFDc10cMbwLo1O72ZJMmYhmHaHBms/a711j2r+6Vlki+b2IpGe1MdR+1ZTH4Fa8SCzDcilitW/N6FDRs6Q/ja9Y00FPef6r/OafGikI7raCiB69T5ngKlOpGhxWDF5Y5Ys4xQJC7rCexAzzFHMDu11wYWRlQsucsGa8Rq96N+RKy1yfm8C14a+0wRsUbfQ3PF+66vYx43njfYsX8YU4mzuqOJuKZU38+sYLqfedh4zjuGkYiYGa0RW5pCbE53w4GBAb761a/yd3/3d+RyOd7whjdQKpX47ne/+4JxTFxqWKaJmXNmy1q7z30hFm9qxwCKuWHKpSKFqQmy7adf1/bcL+8lt+s/QY+T7t9O+aTTv6h7TQNTitOkJdvOlb/zAYYHj1LKT5FIN6EoKu1dfYuXHppqcwbjlVJdIRYSX8k6A2Ut5jgpGkVnoB6r10PMq7cI3NCbIk2fo4Mk7++gQLBMErrG5Wu62Dk6ytHsZQy3XkiBBKMDE+w7VuDyY659cmqKtV1N6KqKadtsbO+gacvs2hVEB+2nlZpo26cdEWv4uHc8o7Vc3sBMT/pfMp4QyxUjg+gGfVmcxyJCbL41YkHL7oAoP7T6d3gsd4Jsc5q2OoOx06FGiE0TEWuEYRkhA4IopmWComLbkEmpXNTSBLjNxtvTkI9hJBUOAkMTFQ4M5lipqLWuaziDx4miwT1PHqdQNsmkYty4tadxGq03wLYtd9DmrLMmLTH6Xo1qxExnX0ORDD/lyNn/tmbnXJosVsB9m4rpDHYSegzVTRFW9CaOjuY5NXySi9tLTsRDjTmiwzL9gXLoOqszWWPbNgeHnXXOW6T3bIOjj7r7M82Ay03h9c/VYJqUotC/chUj408zUawwSZqWoNkMOOYV4IuhGoEb3FfPrXRkPzz82erjiWaIpSibFphTqHFIx+IzR5e81Ow6Ez0Na8TAEZ+ptuq5pLjnk4cnxPQkkENVFNo7uzl+4gSTE7X3Av9zncX9smwYlCoWlqbR0TRzRKweCyfE3Hq0ikWpYjmTHrO1r/d7fGlhIWZVmCw5vTbTiRhKWYFARMzAiYgHI33E0o508Myt3EkyL53ZP39VrXrd2yYV28JQtaAfRVWIoTr1xPUI7IcZON5tzUlO4PQttGwbdUbXxIVKTawfEbNtm//cPUjFsunvaKFzwn3eLDvfdb/6ayotHaA5zb3HGfde6PxU1Np63GCN2PmemviqV72Khx9+mFtvvZUvfOEL3HzzzWiaxpe//OXF3D7hNDl5dC+2WYZYitaOc7/BXTLTwRRQGNzHb773RazJIdbf/M7Tsty3LYuJg485f1TK5A84hhmJvm109q48/Y1ugKKqi7r+2jdUYMUVjuth2+ra55OBgV29iBg4AwCj6AzUowILwo6JHi2RNMtGQsx7rW37X3ptzSlevklnaLLMtes6mCpX+OnzQ5wcrX4TrW8uorviVVMU2pQp0GcnZmcTTamhUUTMKFS/zOcTEZtWiDUQf/4MeTVVyY+I5SMD7lgDIWYFjAu8tMLTqREzK04Niy/K4xwcNbDUGKsa2JGfDrMSYjN8rhWrQsWqhGq5gpi2iY1KBTcqFTRNcI9vTFVYlklRntL41b4Blps2iqpxcqJIybCIaSoVy6JiFqmMHqFQNunOJHj9Zf3Epztf3aiagRWePY8KseigVK8vxGxsJ8KnBI5J5PzqaPIiYhUM02JossSRkQK2bbM8m6GiTFGpWPzn/gJHxgtk9TwPPX+K2y9dERJ1dZ31/AhUdftG8wYTxQq6ehoGLi290LPVOe+S2cbLeW6gU6ecdGnvGnKPQTK7jJbkLsYLBgOlOC1N7eEaNO9aiYWFmGVbbg+vwL52bXaEWBQ3ImaYFopZIKbpxKeL4nn4jXdrRfu0QgxC92QDpVaImdWIGECypQNOnKBYqDX3mbVjIjA+5dZ56bpTaxzhdITYdA6kddejqaTjjlNgrui0qvBFz0z29b5johp+znIi4bbqRMTUMqGIWMW2wPVRrK5XwfSimmbZFyTO/iRCETEncmm7Lq2uEKuzjU5qYoNzSNWIKxpl28QKiJFMynFQNi2bomGSnukc9NPyKw37y82KOjVipmXz/MkJDgxNoakK123pQXncnTiulJ1JFtvGPLULeteRDNaXBVNs66Ym2v5xWIrMWoj98Ic/5D3veQ9//Md/zIYN09fICOcOQ4eeBSDZs35OtVBni+UbtjO88wGsierM+5Gnf0pHz9xquYIMHj+AXcyhaHHaLriBkafuBUVh3ZW3zPzipcaalzj/6uENXlStsZBItDipT40G6vUK8Zt7wlbQ0UGxt6z32mAKlqpxycrqtjQldF532Qpsy6L0QBtFo0JLSxmC2Xb1InUNmM0gvoZGvVS8YxJPz+uG32hA4tSIzV6IZVwhFpr1hcYRseA6/dTEqbl90XqRUoCJE46duHt8KorOweExAFZ3LIIQm0VUM/pYWk/XOigG/k7pqVDBO4CpVNMDFdsioeoUVR2/VgSbvtYkg+UYk/kizwznmEjb7BuccrchiWE5x6i3xaApoXPrhcumF2Hgp/tVI2KOM+PKlsgkTvR8jAyqgueXYRrhYxKp/cikFRQFSobFrw+G24UMjeXZOTVG2YLRLleEYHJoOM/AeJHeQC+x6WvEqtt3aNirkUuFHNHmhKLA1tfMvFzQyfWxr1Yf966P5i4ySZ3xgsHxQpwNnQ2EoStagvtmWAZaKWBu0bEW9tR5rao57oWmDXaBmJadWZDYdrVGLF57HdUIsTrRXe+8N1RX2ANpNUY+FBFzSGWce0G5OFUTQfU/11lMXI1NOtdRqkFLnxnTMd33qfdec42IgZOemC+bTBQrdLcQSDF0B/PBJszB+3hNs2W3bUWlQqliQUIhndBRJyMRMVeImZGIm+WJ3koZ3ENTigqx4HVvmU5qovucfw8LCrFpImIJV4iZgXu6ouqkYhqTJaeOLz3bPmLgiLFGwm8mvEm6WJIT4wV+svsUg7mSm8YJl69uc9JYvQwes+Tvp1d/l9TCQix0Hrt4QkxXImmoS4xZ3xF/9rOfMTExwWWXXcZVV13FX/3VXzE0NDTzC4WzSv74LgBa+5dG6mhTSyvLrnC/bD3b6KNPsuOrH+LRf/vfjJ46Med1ntz7BADx3o1suvw6tr7m/Wx+5Z+Q7Zhdett5Q7oDll8Ga17WeADuCbRGZg71asRUDTKBtNeaiFhE2ITcqep/SSuqSjKRoDUVRyu56QnrrnNqIda+vP621WFeQqxRdMp3RJt7NAwaD2oc18QG7+k5iAVmyGOa6qfgDOYCCtWvEYsKMXcZVXMioYrqDEa8NKiZsO1wWun4kdB2Pnp0iolihXRcY8UC2NVHmU9qYrpORCHo0FYvOmFSTQ+M2bZTAxaIiGHb6IrCyzb20p5UKFUscnlnAJBNxViezdLdkqC/PcUtF3fzlmtX05qe5UBG1f33Xt68nD+48A9qGmjPJMQURWlcJ6aFUxMV1aQ1XT1m6YTG2q4mti7L0KxBwbAokKQ708xlq9rozTqvv/+5k5TtaspW/Rqxavry0GSJXx8c4Se7HRu06VpNLBiNrk/v+mjq9iczDuV17DrNjAH/mvN6eIF7XD1HRah1T+3ZBpvdCb54E0bFQrHyxPTqZ8PgrnCKr0elWBUD00XEpnEA9c57A9xIDaQVvRpJCKy3KduBAiiVIpOlsOCZi7nRmBsRSyfrn+tnMiIGVcOOkSn3HuXXNLrHNiSY6tSIecu71/2k68CYjOtovqgLRMTc1MRotN2MO/fCDj3Jm7c6Lsdl7xpWqlE3IxCFd9pluELM+6y8BvKooTYoYRQSrggxg+JS1WhOOH8fHytizSSsQq6op2HY4d5rJ02d7z1xnIHxopMaqTgmW1esdjMzgmUL7n56562u6tVzx7ad89itEfPq/2prxE7bf/CsMGshdvXVV/M3f/M3nDhxgj/8wz/km9/8Jn19fViWxX333cdEnTxj4ewyNjSANTUMisqyNUtDiAGs3nI5vdf8Litf/lbUTDXtrTJ6hN3/8SWGBuqkgjTAtizyx54BoGPNdgCyHT2L41p4rqMosPFGWHlV42V858QGQiyQjhYiO50Qi5hIBGc5p5vBiq6nZxtccPv0aUkR5ifEGhQs+/Vhc7Oun+m9wzViEaMNPyIWHlyuaHO+pA+NBMSUN9sdta8P9nVS1eps+2ydEyvF8Cxy7rh/bAqGxa8OOvf+6zZ3zz/aMQ2zSS+NDvZSdYrEg33I6n0WppceiE3MNp0vdy0GkYFPazrBKy/opL0pjqrEyCR1tixr4YpVvazvbmFFW5qV7YlZmcn4qLqfmhhTY45Ffs0GRs7HOmKyxlgiuqzXy8k02NTTwuWr27hidRsXr2ilJ5Mkm45x2bJm+rJJtqzu49UXOWmVKzuSpOMapyZK7DiU48R4gXyx2CAi5jy282SBf3jkED/dU52wXYgG3zOiKNC+pvZxX4h10ZxKoKkqY1aaYbtBmnZw8iMocL17Xce6sM28noCtr4ZlF7svSmGYFrZVJqa6Qmxy0DG8efTvqsLAw68HTdS3r4+4CtYTKd55b2D7qYkpVQ+YdVSjDFq6jWRMRbUrflTLY7ZCzLZtjg47139Lun6mwpmsEQOnNyDAQbdxeo1ZR+j7p0GNWOA5T6SmEo6gVWkQEYukPlq6c/6olTIJ9/5uuXVgtTViwdRE5339e1ggIqaoDZw3VY2ku91W8N6hqCxvS6OrCpOlCk+fLNS+NoiiVMXMPI69T6WEads8sGfcT9F++4vW8J7r1/Oa7cur3xPBsgU1HBHT1GDfPds/j23bxrRNJ1XYNt3URLVqsrIEmfO3ZlNTE29/+9v52c9+xtNPP8373/9+/uf//J90d3fz6le/ejG2UZgnA/ufBkBvX+X06FpCrNl6BcvXbmPlla9Ebekhu+0G9LZ+bLPM3gf+nsnc6MwroZqWiB5n+dqlI0bPGt4MbyMzh0Y1DCEhFvmiiEZ7/C88dfrUuGjUrU66zkzUpLXNqkbMS+OKfBGdhmMizCTEGqVD1ndRW93pCrHhQPpdw9TESDrpTGI7ihH58i6M+uLuZN7GAlZ1pNnQMz+BOhOzcb6Mfq71ImJ+A+1Ggz6qETHdsh0hpkaEmG07ETXFYmNPM+u7WtmyLIOiKMTVeF0L7lmhxpwBmm01Pkej50adNCNvv2oGsJE6TcMynAiapjpNpQO0qDarOpro7ugk7m5LTLd5/eX9ZFIx8hWFg8N5/vXRA+w+6dyHY1oMy3IHp2aJkakyjx11zt01nU1ctCLLyzZ10Z05Q21h1t8AKy4PP+YdLz2Ouu02Jte+AlNL8vxEAjbeBKtfFF4+UE8VikZteRWseSlsiYx3vPpL//2SGBaYWCQU0/lcg/fV0QPh5RtMutRswzStGNLu4N9QAqmJijOArViVsItdIkMi7tabjod7ic1WiJ3MlcjlS2gKdGXr359PS4jZcxcDa9w61eNjRYqGWWtfH3GT9GkUEXOFWFPC2Q81Mtiv2BaOkWIkIuaeP1owTdi2KNtWpEbMAoKpic76oxGxmFtLWvcz0WIkVl4N3VtCPh8oCvFYjFVuJPqXhyb54dMnuO/Zk5QrdfqqQSB6Pj8hZlk2g6Pj7Dk5wUDeadvwyov6yKbrtEIIli14qYmuMNUCfdOwLT+yC865799jPbMOz2RlCXJa05ebNm3iM5/5DEePHuWf/umfFmqbhAUid8xJS8ys2HKWt2T+LFu1iave8EG2Xn0zF77iD1CbOrCLEzz747/HKDewWMeJhEE1LTHZuwk9trBubuclMw3SvVS5qCjKLK/+Ho1GROuffCOEGW4/wQFpMjuvm2x0EHB6EbHaeq25MK0QaySiGhzvlW5k4dREiSkvrchbh2mE02+iUUw//XSWWQzRbSqMgVnCxmZgynmfC5fPPko5V+ZbIxYlGBGrNzh0asRMsG1iVsWZZQ32ywPAGSBgGk6fr1QKVVX89U5rIT8dgVqRhufoNOYMHtH0ter6w6mJ021fzBuoxptCvcnam+Lcec0qNq/ooDmho1gmvzk8zL7BSe5/Zoj//cAevvKzAzx9eIjnT05gKjG297dy2yXLuX5LD5eurOPkulg0dcK668MD7aDTa9cm+jc7Qu3pY+OYyy5xjDeChNKBA59rqtURbV50KeP251xxZfj1ikKBOBUsYorpfDbB63Lw2fDy01jXwyzMOoCUO/j3JxVwasSgNiKGniSRdO4r45Phe4Fv1jHDxNVzJ3IotklbU5yYPs39bQZiWv1rcj4RsdZ0nPamOJZtc3gkP31ELGhoEpwgdH/atl0TEVMgkpro2NfXRMTcY61Wyqh+DzDbuccogYhYTWqicz9JaklHuPhCzHGAbCRsUx0boKmzZjtQNbpaEvRmklSUOLsGJth5bJynj43VP4Du+icLeX6xb4gjI3ke2TfMf+4erElhjWLbNg/sGmTPsVOM5g0sLcGtFy7zDaZq8FMTy/4xMd3+d8Em39g2cUXzjXIMq2oUpKhuS4HFcqM+AyxIQqWmadx2223cdtttC7E6YQEo5icxRx0nqN61F57lrVkYkqkmNv/223nuP/4Kc/w4z/7se1x83RtCy+z61X2M7d3hmHOkWrFdQdG++uKzsclLj+AgffQg7HsQNt0KLW49nV9MHhks6HG44g8AuzatJhoR81JyZpopDQ4C6jk4zoIFTU30zB1i86uDaijEtFh1ndHokyeIIw1e03Gd7kyCwVyJJ4+McXSswEShzIsGcmRTMdqKeQp2gpP7nySz9x66Mwl0PyLmRq6KTu3dwaEpdg1M8OINnTQn6nwm3jY1dTrRMKsCU0PkChXypkYipvqz0IvBQtWI+RGxBsYApp9mZBOzrPoRMWwnbdAq17xvcDDZyCa/IZHUxLrUpCbWiYg1ishFrsHpBrgxb4ypxXyjhap5g8qqriy2nWEUnV9PGAxPlNATCtkEjBcMhsdzJIDVPW28dGNX431ebFTVOdfd8zxoVAGwtquZ5oTOZKnC3sFJNrVGjme9iFg9AXvh7zgph3WcaoskqGAT94VY4PWndsPGm6v3mzr1oKHNmYUQ8yNiBISYVyNmGuFJMj1OMt0EwyM1pSXRPmKjU2XSCY2EXk17K1csnhvIkbFNupoTDe/ns42IeTWOp9PQ2WN1ZxMjU2UODE2xsdk9vp4IDtWIBaJYNRExlYJhYlo2mqqQjOmAXT81UVFCDdEBTFeIaW5GQlyLY9g2ZaVORMw16zBti7K77rgWJ6bGKAfs6wk0dY7ipT/WCDHbRkFhdWeaK/uX8asjU5QrFk8dHefSlW21USo1RsWyuPfJoxyxOtjBiP/Us8dz3H7pcpZlXcFvWqGI+tPHxnnm6DBX2yZdLQluuWR147YdEImIudEu2wbLdCJi3rVhW65ZScyp5bUMv1YupsZRlOKSrQ+DBRJiwrnH8f3PgG2hNnctSB+uc4VsRw8rrv1djjz0VfKHH+eJ+yoUT+0nlu0lu2ILo0//yF/Wzrs3ED0haYmzJdXm3BCLOXjCjXLvewC2v8n53XcOrJM+09zgPIv2EfObw85QQxNMTfR6A82R0zPrqDgzld4XVYPeKLPelkZmHWoMYu6t2MiHn2wkfIEtyzIM5k6x40D1i3KoCKP5PD9+5HnGybD+5C9pK+QZzZfZvKIbDaoNb48/zrPKWn68v4RtQ0xTuL5efzYvIhZvco5Hfpj86HH2n5rEVDvY1NNSk962kMynofN8asQqClUxZFWcGWhNj+gw2xEnfsSgei7oin4aETHdjcZNJ8Si66y14m9s1hF2TZxOKFZ7HVWFZWhArMZQULhyZQsPHR6Dcpzr1i3jmhVrGJksY03FSJJm2bblKOpZThVKZgJCLHzdaqrCtuUZduwfYddAjk2dkftXoxqxKPGm+jVpQN6KYSoWOq4QC4pp03CcHf1JrhlSEz2Rbdb/DIMmNGVVc0wkgJSWCJh1hCNizc3Oew2NjlEom9jYPH5ojFPmFEdH8xhTOdTiMI/sGyYV17hmbQcXLs+iqgo7j41SKlfIJhSyyVhDJ9nZNnT2fi6EEFvVnubxQ6McHS3AWvdznyki5jd09vZDqaYlxjXGVQUUHAEQNeugVohZuhcRqwqxKdumTCBd0o+Em/625N3t8yJC5WBqIg1SEyFQhxZJOXT3S0HhirU9XLwa/vZn+xnLG+wfmmJdV+R803T2Dk6SayqQzGgYpkUmqRPXNU7mijyw8xi3Xb6aHz59gqOjBVrTMdZ3N7Olt4Vf7BlEt8qsbE/T15aG7ki6bpQ6JlUmzvHQVM0Rn+5xjuGI0CLOue8JyFiiBQrmvMcI5wIixM5TRg859WFNfZtnWHLpsXztVo493oM1cZLC4ccBKBfGODXgpGImV1zI2ituYXJskKmxU7T2rJK0xNkSTzszuyMH6j8/w6xtXYL1KYEeYnOKiDUvkBCbTY1Y1HjAS62s0xtlLkxrX+8ZOwQjYrbdOBUUuKS/lcFciedO5EjHNa7f0kPCaGdo6BSlQgEz0UJ3wsAqKexMXsbh0gXcbNsovRdjDzzNsYN7OHT4u9jdrwCcNKNr13XW9gIyAvutxiA/zM5dz2NWLBKZFJeu7ZjX8Zgtwc9QQalrhx08tqqihq2PXWaqEau6JtrELLNxREzRfEETtJOOaaeTmlh1TWxcIxaJiNVpUDtb18TpUxPdgVwgwmfZFpZtOe6BXj8uxeSSVS0czrWwsq2FTDJGJhmDthhY6rwnLBaUYL/EOtuztrOZHftHOD5WxFZ1FEV1BsRaLBTZn+/nOmUn/NREXdVrxXRw4mWWqYmeOIluS/C8LiTSfs1SWgv0sAoaQKg6meYMzQkdtVLkmePjHBrOc3gkz6HiAMPlAnbS4JH8sLPOssmDuwZ56tg416xqxvjpl9hGE2s3b0eZUBpOrM02IlZv2fkKsWWtSVRFIVcwyJVtMlAVTzOlJgYiYp5jYksy5r7ci8NUI2K2O1lXK8Sc466ZFTArxNU44NWIKf57GFgh45Z8INoeU2NV10S3gXwjsyLv2NVGxALbparEVdjWl+XxQ6P86JkBbtu+nL7W6sTVSMFmNG+gN5u86rIVZFMxYppC0bD49n/+krW7vsu9Jy/naMslgNPP8tcHRyns+H9sNicZXn4Dy7JJ53qbqZwgmJroHnfTjYjpEyeJ7fkxNLe7E1RV+36vxhUgFkvDNW+um6q9VBAhdp4xcGQvqaYs5UGnuUnvhkvP8hYtPIqq0rHpWk79+jsANK27hsLJPViTQ6BqrL3yVrJtnedVJPCM0r01LMTs6pfOdH1uGhIcAJnlQI3YDBGx4Jdy0/w+S8/u17MWnk1PG78uyLbdZpyRiN48hdi0NWKqe4y8gZlZgfHD1cF2rPZ4K4rCb2/tYU1nE8tak84guKuNvoSB2tlEuncZ6/fq5FItPGUv5/jJSTpaRtne38qvlEvQRp+iRR3gqtVt7B+aojR0kOefGeXiFa1OJKHFbQDvpmQWSfD0ySmWTxYoj+WIKXD52h7S9dIZF5DgwENX9dpUGiIpgg2E1oyuiV5zVtsiZkZqxLzzwXZTE72IWODcDtaenZYQmykipmpO5LprU80iM0bEPNfEaYVY9TXBgXHFqjgRF0+gWAaGHTF1sMzqOTubBsaLTXJ6IdbdkiCuqxQNk1NTZbr1hDMZErm/BWvlZkvFtCgSp4JdjYhF65qDEy/TTLrAzKmJwfM6796zFEUh5Q7yDctwDEUyfU4rE0WBWJLulgR6pcQv9g1juoYrpmuSkU0mwYJtfRm6M0ke2TfM0ESJBx87woWlSTq0PGtyj4bd9iLMSoh5pjCRc38+9vUACV2jO5NgYLzI8fGyI8Qs063FCgiVSETMsC0eHH+e1SO72aSoTLgRseaEU5+F4liwh1xkgXoRMdNtfaEqChh559qxcSJiAWfGSkgoaeTd+21MdVOoZ5GaGFNjfouFaD+zely9tp2T40WOjRX47hPH+L0rVtLWFMe2bZ4fcibeNnel6GqpXjOpuMZvK49yAJvlo48y0XMlr7hgGRNFg1/vP0XL4QEAXmzuQNGU2X1PhnqMOr9XvIhYfti5FxVzzuSY10fNNjAsw99fJ7X/DJkALRIixM4jhgYOc+DBr/iOZmpzF529/Wd5qxaH1VuvYOzwTrREExe+9LXkxkd4/uFvkVm+mWzb/OqJBJeuTbDnR1XXJC8d0ShM2+emIV4vJk/YRHPxGxG0V0+2zv79AiiKgq7qTiNWRatvC177ImebTSNc0+ENmhZaiGkx8MwlTMP5d/BncPiX7vvVt7MGJ71qU2/ArVBPoakKF/cmoKsJnsuTTcW4fGU//7m/wM/3DvHzvUMotsZVisL69ji9q9L0TT7NicEfUBpSKA+3EtdUuPztTtqUu9/PnCqzZyJGZTSPBrQ3x0mnF9+OPCiepz2GgWXqzRp7fcSCkasgFdzURMsgpimBiBgQqAvRFd2fTNDVOE5FTvh9514jps2iRsxd54YboW973UUavn/ENXFWNWKqjqZo/kRGVYhVU3cNb9+94x1sv1Cnhu2ME0zzq7M9qqrQ15rk4FCeY6MFumMp53yP1IE2NEGZhqmyiaGmsLDQbMM5RmbEICcoxBrUg9Zsw3RCzP0c8m7NjY5K3OuBZhrOPfeyt1RfpKfobE6Qzhm+CLtuczfKsSS5SjO3bVlJR3wVnc1xFEVhU08LP91ziqP7jpJJ6qzpbELzJkYaCC5VUVEVtTZlLoB3jUev2/lGxMCxsfeEmJ8XZFuRiFhAUNkmA5Up9tnjjA7+hjXZiyiUne+q5mQM293PaI2YR41ZB7ZzDaFApejsm225QizS0NlD1av3KT8i5kZ+lOmFmObZ109znD0SusZtlyzn3x4/yonxIt9+7Cgbe1tQgKmCRYcCFy6rvbf3pkyy/a0AXHXNalRVoTebZE3G5vjxFJZt0x0rAcrsIuKhPmLhiJhmVpx99lK2cYVYxRVibtrirMoNznFmJcS+//3vz3qFYmF/9lAUFUVPYLtCLLN6+9ndoEVEj8W5/FV/6P+dbevkite88yxu0XmEnoD1vw0nn4Gxw45xRzBNbhphUBdFcW64lZIzSVCTi9+A4lj199NwRPLqDmaVluihxaqiyON0a8SmdU1MuI2WLWdwdvTXte87G4JNnY0pv8bt4jV9GNo4vz44StEwaU4lWd+/jC69BIO7WDn+KBMJnZN2K/vHymzqUFAmTvhCrGxa7JswKerVnP+eTPKMRD28hrrWNGl7ulKNfIbctgJ4AyVd1eubdeCmJlpWdfbVO++8sVe9iFjA2GDeqYla1b6+YQShXjP1CI37iHkGNHNJTYyHJjL813jH1ixjKJGImJe+q8XODRez4LFqcN2uaEtzcCjP0dECl3jLRCaa5vO55ssVDC0JGihmxa0Rm0VqYmL6GjE/NTGyrljAXMWyLYg3EzOKfp2N13vJiyQ4L0qiqQrXrW9hW28f2VSMjuYEewsJTuYTJPR4TVTkxm29lNuHiO3KhJsLTzPJpas65WhqrfcyRfUnyBYqIgawvC3FY4dGOToeuH8GI7ZQGxFzmzMblsHwlGObkdBV4prqV2RGXROdB5Va+3rbBC3mCDej4KYm2rX29YQjYt59yo+wu9+Tnn193fYdASFWk5rYgLiu8qqL+/jnR48wXjB4/JDTimKjqrOqo4mUVluDSqVMykujD9R/6pbhO/lWH5yFqVVwgkh3tttxTTTRTAMdFWzDN+vQtSRUpl6YQmy2boiKomCaszsJhIWno2cF8Vf+F5798Vew8qOs2HzF2d4kYanSt91JUfzpX7qCpDy9UcdMeELMLM++Rqx1JQzsdOyiT4OYFoPKHG/YWhzIVwe/ZqU6k7oYqYmK4szCl6cgPxyetW1bNfs38W3wS4G+Z00oqsYVq9vZ3t9KwTBpSegoTy5znDH3/BgV6N+0nQfGLmFi5BdUju/maO45ei9dzUVGgUPDU5TjCVrau2ga14jrKi1J/Yyln8XUGCWz1PAYOj2xYpTNcsOIV3Bd0VRGwzIwsfzZ6RiqU3tQfQf3Z7RGLAnWpPv7AtWIzWRfP80xb/j+fupgBSxr2u3TvcGlVq3bMSyjGp0IpCZWlErofX0hNk9n0QUnmNLcoF5lRVu1AfBIWqUdGkfEZvm5Hhia4tGDI1TUpHPqWEbYNTE46QLOwH6GPoVziYgB0NxNbOyoa/KA/5pEMDLo7meTYrA2YNowUx+xuFUm2ug81CqgzrY3EmLRazHI6UbEFAWG8yYlxXQcH21zmoiY5URj3ObXQ1POMQg5ydZp6Ow+URsRsy0nImY7ETEnNdGmTLChs2vS4xH4TvTvJ7NJTdRiqO7Ex2wiYh5NCZ07rl7J4eE8zw1MsP/UJMs7MnTHxmvbZUyHd90ns87k3annZ1e+EExNtJzvrorrIKl7ETFXPMcUzZn4KjmTEH5q4gtFiFnRDvDCOUtLtp0rX/c+TLMiBhXC6aHHnRulN6ifxsFv5nUlnMiaWZp9jdi66yHVDr2n134h6Mg1a6IW9p51vTLLlIt62zGdayI4x7U8BcN7nb+TWacpbR1b7Ib4QqxQVzjHNJWY53CYanOEmEvrxpdww2QzO3dkmJisYKoj/OeuQUZOHSZVKGN2Jbhy8xpWKX3Vc+EcEWLeMmWz3LAGLLhc8Pm4FneFGP7sdExR0UMDCXfQ6UXE3Fn1mBb3MhPDZgmVAmWz7LvYzcis7Os9ITb9vsE0DZ3BiWRN55oYaS9RE2ULpiaqkQG7JyzOFSGWWQabbg6bdkTozSRZ29XE/lNT/PLQFP2VccpWke6evG+9PdtG3ZZl86NnBtg14KQgZtUkehxMr6mvdz9JZp1WEF5EzMg7wkxRZq4RMw1s2562RgyAlmXEYi1oW9+MevAeLNvCMCNCzItaRNpmzNjQ2YvSd2+Bweec3ydONDos09aJzUaIlcwSuqLPLrXcJRnTWJZNcny0wFjeoCfjXrfTuCaa2L7V/4lcmRaqQsxPTQzViM0QEVNjqKZbI+ZGxJw+Yu49WNMx9AQYbspq4Dj5EfZQQ+eZUxNnGxHzSOgaG3pa2NDTgmFa6Hv3oRw/Gj5OUNtaJeQo7Bk6JWDzKyHzG+jcOPObB806rGBEzEKzjKoQ8+zr3fM1VCN2HgixcyB3QFhoFFUVESYsDF7PqfLE6TU0DqZGWbOMiMXTTuPUZONB1GyYnxALWNhDOC1xHo2lo+8fTA/yByleBGboeedn22rov3JujpHeZ1PMVRs2e59hlFSgwa6mQ0svFyzPcu2FG1iWTbI5W3F8KowiuqrwW9tWsqqzGbIrqq87Q854sUB0phHec15Kj5c2pUZm6qMRM7//DtXeSzFFJRas1VGqEbFgjVjUrMNb77PDz/KN575BMdoMuxHBhs4zuSZOJ8QaCQZVqw7+AmmG3rEJHqOY5UXEnGugxsLe3Ue7Uqpt/OvXUZ4jQgyg7xLoWNfwaUVRuOXCZfS3p8lrLUyWKuwej/Htx47ywHMnKZTNWUfEfr5viF0DE2iqwqWr2nj1FevIpJ3zJealO4MjxKAqxLxoWCw9ow28jU3ZKvuRj+CANHSPUxRinRshu7zx9nv31twxmDjpP1ztG9dIiHktLZqr1v09F9RflmoNWPA8C5ktePsYrRGzK+TKOf7h2X/gRwd/xFxZ3dEEisJo0f3Osc1qRgbUuCY6QkxlslTm8EgBBWhrcq4DxzSxOiFD9VFw06KD0SjLciJiTmpiICJmW6G0fMO9Z6uKEvrsgzViiqI4tWZu5N8j+NnPaNYxCxEb01SUSBqzT2E0/HcobT8QCdcTsPJqxxhmJkIRMVeIuRExzTScFiLePYawEJvxHF1CzMusY2pqioceeojDhw9TLofDze95z3sWZMMEQTgHiDfD1JAzUDBcIdagmHxavFnYSiAiNk0qy0LiD9DncsMO1MEAp21dD2EhltJTTBlTxNRY1QXQiyIUc87P1nkY7WSWOT/Hj1aFVqNU0qAQyyz3v6hXLl8BR5tAK/MHV65B+UWKpK2h9bg29dl+J/UEzmhEDKb/DIOCO1jb5B3r4HLB9VSFmB1JTWwCvNdVxbcTEXOFWMAmP7refCXPkYkjbGjbMPMO+qmJ9iwiYvNITVQUR2xXytiVsv+8d2yCxyjm9kXyBF9NlM2vVSphu3UktamJS8vFLKapvO7S5YxvvI3xgYuYKHVw8sQUTx0d5/mTk1zufoSNIommZfPw86d44sgYADdu62FzbwYKMQzbdoSYoocjYlAVYl70ukF9GIQnIfKB2jL/XlInJTc4OVEyS7XnRWY5dG6AoT3w3Pfh8neAqlYFdsOIWCACcuHrnVri1pUNt927LoLnWfAeWG8fwTnnDowfoGyWOTJxBNu267qmNmJNZxO/2DfMWMHCsm3UqFlHpKGz6UYlj48XaFYs2prifk2UExFTXJfDSGqiu0nBGjynRkxHqxhQKRDXso5Zh22GJvMM976fUnSmgqmJAdfEGKqz35GIWPAYemK3YURsttFEbxuCx2nP/XD00fBylUKd1i5znJgLurm67+fViOmm4aRj+uei5k98VaxKoKHzC1CI/eY3v+GWW24hn88zNTVFe3s7Q0NDpNNpuru7RYgJwvmENzAon2Zqoj/LVqp+ec3C1nghaGSNPC1B0wsI99Ka73YE3j8dS9cMQmqcKIORp9niCarShDPLDY0Hd0EhFnyvZNYRyWaF5vxRUFy3NS+ylg0IxDM0GzmbqGZ0Ga/2yzvWweWiqYkAFdsOpSbG4k3VyQc/IObViHlCrH4fMY/ZCjFb0Xzb5oVITawrGLQ4VMpUKtVBvHdsgscoZpmAXpOaGBViRqUEMTW0zDkZEZsliqLQ2tJMa8tFrAK29OV5cNcgI1Nlnh/Ig1a/ZsmybH648wR7Tjpi6iUbOh0RBhBvDjUJr0bE3Oe94+VFr+MNotfu9nnntNcTz+uZN2VMoat6yNgGAvc+LQZGA4G+6RUwfsSZcBs9gNm2OmQYUZdgBETVGja09vDOj+B5Vu8e6P2uqzoVq0LFqnA4dxhwBMaUMUXzHGqUu1oSNCU0DFtholgha1mNzTrciJhlKwxNlFinm04/LO9pp5uzO2ESfSfnBhGKiNleRKziRMSCZh0BUVRxJy3SaoypQKQsWCNWrfNT6n+PaNWIWMMasdl+3/qTkO65Ytu1IgzCJlLz/X4MpSY611YFzzWxHKpvjOmJah+xYEPn80CIzXlK+r3vfS+vetWrGB0dJZVK8ctf/pJDhw5x2WWX8bnPfW4xtlEQhLOF96VXmgzUHM0jIuanIBizrxFbIOaVmuiJDm+AtAARMW+QBJDWw7Unzh+BwWuiZX6W/VoMmnuc30cPVddVj6AQawqkP6padaB46OfOz/a11SiHt36oTV9ZJGYlxIKDzsBP71gH11U/NdH2C+djikYsNOALmHUEI2INUhM9vFn8mah4NSaNasSswEz+LMRo3RQ6bxDjDv4VFFKuYPKPkW0TsxukJtrh9zfcgZiu6tWUsyUaEatHf3ua6zY718XB4RJFw2S8WGCi6NRo2bbNbw6P8o87DrHn5CSaqvCqi/u4fHUgJUvTMbzzsTRZJzWx4PZnnDkiBtXPN9QTLzLRVE/YTCvQ402OMRPA4LPVz5nphNjcHGS9aE3wWvTvgXW2NxUQ8scmj/m/j5fHZ/V+HoqisKazGVtRGZkq1THrCNeIVWyLqbKJZUMyoTmGROE1OhMmNRGxWiHm1Ih59vWFQGqiGcoGMdzvlLRSnfzwGtfXCLFARCzYuN4T4dFtCDHbyRHvO8m7hzQyTAmmXc/3+zF4/rj3JdONWvr29d6iWjJ0f5uxjnEJMecp6SeeeIL/+3//L6qqomkapVKJtWvX8pnPfIa3vOUt3H777YuxnYIgnA28QXxhBMbcgX3THGqWPIL9QryZuTMVEQvMss6aeCASCKdtXR/clpJZ8gchoQbTwYhYdsW8a9Fo7Yfc8erfjWaQNd1xx8yPQMf68HOpdiiMwdgR5++ebdXnVNWpARh63klrOgPMJqpZLyIGtUJMV/XQueBFxA5PHGHK6w+Ggt7cC1P7nYUCtSFORMyNOOjh1MQgiqIwZUzx4JEHZxwsVEbcVM9G9vVBx7lZ2NePFEd46tRTbOvYxhOnnnCiEFNHoDhGeeBX/rI1x8i20G1n5j/omgiwa2QXg/lBJ3W2cIyiqkLL5vC+LeGIWD1WtKXobI5zcEzlN4fH0JQpnjr4bZIxjc7mOEdHnf3VVLh8dTvHyyc4fjS8DsttEu0IsUhqomU6j83gmOjhfRY7h3YC1XpI73fvZ8kshR7zlnl66GkOTxyuXbE9BYVjcOgkRrLaDLqhOcYcB95+RKyeEKtTI5bSU0yUnUmwoLAYL42zvHn5rN7TY313M4fQGJkqsdqqoESE2K6RXSS1JKttGxObqbIjrrqzcZRC9R5suzVaXgqxI8JCpvZ1ImIxt6GzWyOGTc4yePjkr2HyIACG60KaDtaeajE/AuoIsWoD6OC9MPjZe5MhU8YUjxx/xBcq7X1b2TR8mN90raR49GFWNK+gt6mXZ4afYUv7ltoIYzQ1MXjvSbQ4WS2VMicmjnKyeIqLUj08OfIcE4VjML4Hjja+121q20RPU3Uib+fILkYKx53jWB4E03BSE80yuur0wQPQFBVVi/vn82B+0I+Izel7/RxlznsQi1VtMru7uzl8+DBbtmwhm81y5MiRBd9AQRDOIt5Nenif8zPVBpm+ua8n0lAWmLmP2ALhfeFHB+TTkghEAqHqmngaETFwUklKZonOVKf/t08wIpadR31Y6LU7qn83ioiBk5ZUj5CRR6xWcK37LeffGcL/DKdpJB79nL1Zde9Y+8vF0iS1pNO/SNFocdPBhorDfiF/Wo0R79yEMvgIMTWGreiuOWI4NTEZa/IHTJqi0RSon1zVsoqDuYPsHtk98w5OOkYJaSVWvwYmaHs+TSQ5eHx+duxnmLbJjhPuuVA6BaUcjO+Hpk7SsbR/rNqSbU7zZsX2GwATEWnHJ49zfPK4MwgvDfuz+qHr6jyKiIEjRi5f3c6xp4bdByoMGXuxy3DEzVpd0ZaiN5tk2BhleKjOSvSkE2EtTVQ/x1jamQgxK06d2CwjYk2xJnLlHCemHIfCdCxNk+6cc350M5Zm0pgMPeadl0cmjnBkos44zbbBmoJSEY7vcM6P6e6XxtxqgrztqJ5nCq1uxL+eOGuKNaEpWk29U66cm9X7BelvS3FU0yiXLU6O5+kNpCaOGlM8ePhBAN6ZXo9pW0yULNChMxuHoFGgWyPWpaWYsgJpe/5zdSJiWjUilo6l/YjYzrE9UBjwX6spKm1awr+2g58liuKINABFDd0Lvc81rad910SA3wz+JnQMTq24gOdGHHfL54afY3v3dh47+RiGaXDt8mvDB8wvI4gIMU2Ha98NT/4z9vA+vnPwR2AZlPN5fl10jV6mjsJQY5f1wfwgv7Pxd5xtyp/i4WM/hcpY9b1cVNMgFldJqwGRqsX8fffOb/8YLXHmLMQuueQSHn30UTZs2MDLXvYyPvaxjzE0NMQ//MM/cMEFjV1zBEFYgrStcm3V3bqSnq3zi9R4QuzUrmpq4xlKTbyw60JSsRTrso2d02qoiYgtzADzhpU3MFYaY13rOnRVZ1nTsuqTwS+U+Rh1eLSvdSJYhVHHcTHYS2m29F3i9DMzy7Ds4jNWC9aIS7ovoTXZyobWxhG4y3ouoz3VzsZWxzb5JctfwompE2xq30RCTzBeGqct0UYm7qRd3rLmFlRFpTvdjYLTxJUTz9OuJWnu3ASxFLesuQVd1fnx0V9j4MzMKopSFWJ6mlesfgVxt/nxsqZlXL/yejpSHcS1ON0j3di1BSW1xA/C5Dj92U31n/frw/Rpr79MPMNNq2/yHeZGi47TWTaRZWN2A3AUMuugayOrMqtojjX7x6wj2QGlCfSx7zmz4u6E62U9l9Eca64Oio0inHKjKt2XsaYtcF359vVLf3DksWVZhr7Wizg61Uy+kqNiWhwczrPrRI4V7WkuXpGd3kBCaWKZ/TxqcTxc5xdLg5lzjtksasQAXtb/MvaN7fP/XptdS1yL09vcy7pW53P4rf7fYv/4fmJqjM3tmwG4atlVtCfbp+8xVTZhZD80rYDeC+lvmeYe5EfEZhf5DF6bHckOUKAn3UNci7MmU60vW9mykpf3v5zlzcs5Pnnc70vb29TLwNQA46W5pSYC6JpKe3OS3Mg4BwZz9GaqQmzSLALOPpyaKLDn1CTlWBI1Bu0tOgxU1+O5Jq6LZVkby3KkdR17xj1R63z+QeFYjYipYBTJxDPc2LSa0dIYdF8Smuzqbb2A3omTKJ2rKCsKqzJO78j+ln5+a/lL6Bt3zw9FoS3Zxm+v+m1aE62kY2k6Uh1sbN3oR0E9VrSsoFgpMlQYYtfILv9x0zadyDb4tYYh/IiYe65GTYL0BKOWa7pVmmDcvRc2q3G2dF5Ut16wUCmwc2gnk+WqgDqUczJsOmMtrIm4fPfEW5zJC0XjpqZVNCsx0OIsb1nOy/pf5qfmpvX09OfpEmHOQuxTn/oUExPOSfEXf/EX3HnnnfzxH/8xGzZs4Ctf+cqCb6AgCGeRWMrpC/LUt5y/u7dNv3wjvJnT0kR10HGGhFhCS7CtY47bXVMj5qUmnp4Q60p30ZV2hNGWji313zOWnJ948lA12Prq+b8eoLkLtv/e6a1jAUnH0jN+htFlWpOt/qz7xrbanjYrM1WXt+3d251fkvc7P5dfCuAPiDQvRcYrq/brtXRWt6z216MoCpvaq2Lq8t7Lp91mHy0LJ/dCoyiEPys9s0vlutZ1dKe7GcwP+gOtjmQHV3S0Q8mA5pXQe4W/vHfM+jP9jmEDVJs240QnLu25NLAtFdj7M+f37u116zxO9zo518imYmRT1c/1muXARbN8sZaFkePOsfWiMVrcubcWI0JshohYe7Kd9t5aW/Dged+R6qAj1RF6PhPPcFnPZdNvZ7EM+SlIdIXOjxpse86p2sFrsz9THThHr2lN1dja4dSr6apOySyhoLCtY9u8hRhAT2sTuRHYP5jjynQZ75vHCKQp7hrIUTBNiCm0N8VRlPAEiueaqKKwId5KPtHGHrtxaqJXI6aCf12sj2dBSUD3pdAUjtQDXBz5W1VUtnRdBNoD7ts495+gAZB3DKN1oeta14ENDx19qGYyaLjgRHiLZp32GlGzjui9R09yuDLhTCYYBUq2s01tWoIrei6r2ypiyphi59BOCmbBd5b0IrPb0n1ssxqPBdbF3DRe15Bkzt/lS4A5CTHbtunu7vYjX93d3dx7772LsmGCIJwjdKyDbbc5hc1NHTMuXpd6outczu32ImIVJx9+3va8cyHdARtudPqvzLc+TDg9tv+ek44aScX0amV0vxeX1wtvgSYTvPU0KoyfhXV9kHqmDsQ8Z8M6s+BzeR9Vc85P26nlCF0TXgrvudLQ+VzAi3xMDlYf0+LVqGFpovqZzMERcMHx+j5F+0VFMctVk4tFFNxe7U9PU48/eZUr5+ZsYQ/Q3pwioauUjQo/33OS9WaB3mySinsdF8omw7kCFhZruppJdTb7xj0ejpipvq+KQrChM9SpEdPcPmJWBZ7792pK51xat8SSzvcvTJuZEK3nS+tp2pPtob/TsTRDhSF/gqZUCUfRnBU1qBHz3ltPcKQyCbEWqBTJK869Ioba8PsxqSVRcAyJipUimqoxkHfCjSvS3TA53HC/qtu19E05GjFnIbZ+/XqeeeYZNmw4M0XagiCcA3RvmXmZ6UjXEXBnqEZsXugJ58ZvGk56ojG3VJx5oSiwYoZZa2FxaVtd92HdPVc1RXUL9WfZlHy2eOsxGwmx8pzezxNiBVcYxbQYaG5KsNeYfdr3mWbQoyjOdphGuOYzFCk5vyJip0WqNfy3V+fnCbGpU86xU9Szm9LpCcaZhJg3KaVqizo49s7h/pZ+MvEMCgpls0zBq7eaA6qm0dWSQLEtcvkih/J5BidK5Dtj2JkspyZKrCNGMq6hxHXXlCMqxByzDk+KGI3njwAAQoVJREFUaSExVRVi+8f387OjP3PqmBStWrs18HRg8Tkals/i+1dTaoVYNpElm8gyXhqnv6W/JhVx2oiYL8TCkzOGFuN4ZQoMHSyTguoajChqw+teUzWSepJCpUC+kvcFdTaRJavowGyE2JnpWXk2mNPZoKoqGzZsYHh4FgdNEATBI9sPF7/RqTfyOJcjYopSTRUsT56ZiJhwzqKFhJi18L3w6jVRDTLXiJg7QPYGXrqqV/v/TSfEIr3CGhI13xnaC7/66+pxkYhYFS0WNszxjq3XImLMrbdLtPh1eWcFT4iV89WJp3oE0xIXMXLf29SLruqsb12Pruq+McV8DDtQNHoySdrSKm0pjbimUDBMnj81wZNHxzk+XkCxLZpSGp6oMuzItejuqxeNU6FuQ+d7D9xbNZNQFFS9zjU7VyE2C6JCLOVeg9s6tqEoCps7NtcI2GhdGRCYFIqmJjrffVNYjsW8m06bt2cWYlA1YikYBT/FtCfdM3sxfx7Y1DdizmfD//yf/5MPfvCD7Ny5czG2RxCE8xFFcYp4W6t1OWd10DEbgj3UDEm5eiHjzX7rXpqRx0KlJmqRWego1vxSE70eZjE1VjXJ8dLgbNtNiwsMuqNpSDNur7tdz/yb0wbBe+4M1X8uGdKBui7vM0y4QmzqlPPTs7Q/W+iJ6jkyXVRsAXoqzoaXLH8Jb7/g7bQlHYGYcY/XvOrEVI24pvKaC3t50dpWLu5vZUVrCkWxKJRNbBv62xIk46ovuAzLjKzEjYh5QkyB6ezrPbRKueaxxbg+oumanvC5uOti/vCiP2R58/IaJ8xSpVTb5zB6bUfuCeVIGrX3ep3phZgnDPOVPGV3nXEtPvvJTUlNrHLnnXeSz+e5+OKLicfjpFLhgcnIyMiCbZwgCOcZzcHGwedwRAwCFva5ahRhOit44bxFVwMRsZAQO1MRsYCF9CyI9tZxasS81ER3tn7nv8LQHmd2/sLfcWpBvVnwmWaffYtrr+lrYNB6rl/XZ4Om7mqDdT8i5govbyDsRcjOJqk2515XGIXMsvrLGGdGiCmKEuqzmI1nOc7xeUfEAL+hs66q9Len2dRi8Hw8TVxTuSDbwsFD1ZcYkWuxKldU9/9KrX09tUJMrRf9WoSIWBTvHqAoCl5CZTQiZmNTtsp+U3ugNk06Eo0vN5hAjSnqtPcnTwQGhVhCS4BWR6jW4zxOTZzzHfMLX/jCImyGIAgvCIK1YuVpTAPOBbyI2OSgk46mKNXBrPCCwk9NDEbEPNOKhcAb1FZKzgAoOqDx7c1nZ+YQbSAd0wIRsUrZGVyNHHD+ti3n9451gcjbDEIs6qymx531QjV6LFRpDrigRoWYR+IcEWLjR8+JiFiUbMI5XvOKiHnXqWWGJjtsxWJ5qxtMsC0q3n0enN8D+LEv93nHQTUSEbPqRMTWvBSGDzntQPztWdyIsUL9+1K93nDFSjEsxLzz07acc8H7vD0h1kBExmYQl74QM6IRsYjAau4OG9v42yVCzOctb3nLYmyHIAgvBJZSypIX/ZpwmqcSbzr30ymFRUFzZ4mdiNgCOyaCk/LqNfgt5cKpbFAdGKdqrcvrri4qxNSYkwKkas72T50KR9+89ZuzFGLB9CWjWBVhII6f9WgKZAL4qYmR6Pq5EhGDsGiIcpbqZU9LiHnXqm2Fzvto3y8z4IxYY9bh14h5ETE7qM4AqETrygB12cWw/ib4+RermRWLHBGLNxAt9UxOaurEgveOx/+h+rt7zRvR78BkBoo5YjOIS++985U8FfcziKvxsMBSddjyKnj072pXMMtsgKXIvM6Gffv28dGPfpTf+73fY3DQUa4//OEPeeaZZxZ04wRBOA+54Hbo3uw0DT6X8WasvdqXs2ktLZxVPNdEnaAQW8CBgaKA2/OMiQE49ni4dss7BwNNYKejrhBTlKorX+5E+AVRITZjamLArKMUSBXr2QoXvWFW2/iCItgzKmh2EWwQfy5ExFp6nZ+5442X8a32z2x2gC/EyvOJiAWFWFVgVQK/27ZrQuEJsQapiVUhFoyIOeTrtIbwTTSCPeIWeUIy2SBaWS8iVmNh3yjS70XE9ARk+pyJhKZOp7doUxextb817TalXMfhYETMcXMNCjHViYhdcDt0bXLuJ5H3Px+ZsxB76KGHuPDCC9mxYwf/9m//xuSkk2/+5JNP8t//+39f8A0UBOE8o2sTbHtteBByLhId9Ep92AsWz6xDUwKpiQudXuQNxJ/9Hjz/I9jnNnG17UBEbJZCTKsjxKA6ePaivN45XRwDy5pDamLAWa3oCrGWHtj6GmhfO6ttfEERPJ7FservQfHlCfGzSWa5MwgvjFbTYaN4UZ0zbLWfiTvHqlgp1nf7mw7fYMIMC7FA1Mu2TCci5pl12FEh5okTLzWRao2Y+5jvlhh8ay/6FZzIW+So8VwiYjUW9m7j6ho8IWYZ0LGOeP+Vjq2+pkP3ZmIzWOx7712oFChbbmqiGjHr8O4rXZscMRY8ZiLEqnz4wx/mf/yP/8F9991HPF49MNdddx2//OUvF3TjBEEQzhrRQa9ExF6w1K8RW+BUmWhq2qndzs/ylCN4FGXWznp1I2JQK8Syy6vpivsehMM7nMfnkpropYqdCxGdpUAwjTP4eZ4LEz2xJDS59WzjR+sv49X2xs+sEItrcT+ikwtGYWdDxKzDIyTEsKgEUxOjxjmuNqlGxGobOk+Wa4WYHxE7g98fSa3+JGdcjdfY3NcVtXXcH71r3lu+KVIvHb3nRKln1hHX4r4tPlB7Tw3eh85jE6A5C7Gnn36a1772tTWPd3d3MzQ0tCAbJQiCcNaJ9v9JiBB7oeLViOmKGmjmvEgRMQ9PmHnRsERm1nUSdc06oCrEptzv6mRrdcLh6KPVF8w0+xxMTfQiYmfbfv1cZ7nbrD3YS9E7ZrFUrWnB2cJrMTJ2pP7zntg4CxNT864TC0XEqgLLqJea6EfETPdxm4cLxxgqjQEBIaYEhNh0ETGvpuoMfn+EzDcCKIriR6Y8QVasNO4ZV7EtHi4cY295rNrQ2U1fnrMQc9+3WCn67+kIscDrolkGwXVKRKxKa2srJ06cqHn8N7/5DcuXL1+QjRIEQTgnCEbFJCL2giXj1je0aMnFqRGD2ohYvBme/zH85h+dv6MGHtPQMCIWTU1KZuqnO85UIxZKTZSI2KxYdx1c+HpYf0P1Me+YnQtGHR7ZFc7P8QZCzKuDOsOpiQCtiVYABgt1XPWmw0sPjETEjJBZhxky6/AMJcatMjtLw1RDYo5YCDd0bizEqhGxxa+pa08694jN7ZtnXGZZs9OewItO1eM3pVPsLA3z4/zhQGqis3yNEJship7Ukr7jpBdVq+kjFp3cCoovEWJV3vjGN/KhD32IgYEBFEXBsix+/vOf84EPfIA777xzMbYRcPqT3XHHHWQyGVpbW3nHO97h16c1Wv6//Jf/wqZNm0ilUqxcuZL3vOc9jI+HZ1IUt0Ff8N83v/nNRdsPQRCWEMFB6rmQOiScFbY2Lef25vVcnF23iKmJkYhSpQTHHqv+Pcv6MJimRiwq5hJZSLXWrmCmyJs3CC/lqmYdEhGbHk2HzvXhyFfWnbzO9p+dbaqHZ9iRHw7UQLnYdiA18cy38lje4hyvoxMN0iYb4Qkxywql3Rm25e+jZZlOc2LFe64CioIdST/0ImKOZAgfn3qpiX6NWOcm56d3fBeB2zfczus3vp6VmZUNl7lh1Q28fuPrWd7sHMuaGjFwzLSAw5VAnaDX0NlsIMRmmLxRFKXGLKSua2KQ4H1IGjpX+dSnPsW73vUu+vv7MU2TrVu3Ypomb3rTm/joRz+6GNsIwB133MGJEye47777MAyDt73tbdx999184xvfqLv88ePHOX78OJ/73OfYunUrhw4d4o/+6I84fvw43/72t0PL/v3f/z0333yz/3dra+ui7YcgCEsIiYgJgKrq9HqDiGAfsYUkGlEKmjrUe34aGkbEOjeC+qNqVC+ZqT/TXGk8Sw5U+2JNDYFXY3IuRXWWCtkV8KL3nJXoUkPi7oSTZTo94YK1YJVS9fw/C0Ksv6UfBYWhwhBTxlSNGGiIbxdvR4SY6TyGEqgJc1MTTQPbDkotT4g5P52Gzt5TzmNmxPIeIq6JL37votY6xbU4XemuaZdJaAm60l0M5p2oYt0asS2vwV7/2wz/6F3+Q4aqEiMgxPS5CTFwnBOnjKnwa6aLiIVSE0WI+cTjcf7mb/6Gj33sYzz99NNMTk5yySWXsGHDhsXYPgCee+457r33Xh599FEuv/xyAL70pS9xyy238LnPfY6+vr6a11xwwQX867/+q//3unXr+Iu/+Ave/OY3U6lU0PXqrre2ttLbu3izFIIgLFGCEQSpEXvh4qc2WYsXEUu0OAM6LwoRbHiezDhOYrMkOChSFRXNG+DEUk70ZfSgu94sLNsOg89Va5dOPOW4oU2HZ+hQGHG2V1Fm3eNMiHAWBM20aLpznhgFpx4sKMS8tEQtdlYGxik9RWe6k1P5UxyZOMKmtk2MlcbQVI1MPINpmZi2WesaGLh+Tctk3CqTVDQM3IiYEugB5ooqG5uKomBFol4E+4hFasTqoQZ7hp1DTsFeHVm9GjFLgX35E1RUDVxtmbdNsoBhza9GDNw6Mbffu67qzn1p2ojYCyM1cc7fJJ/4xCf4wAc+QH9/P/391XB6oVDgs5/9LB/72McWdAMBHnnkEVpbW30RBnDDDTegqio7duyoax5Sj/HxcTKZTEiEAbzrXe/iD/7gD1i7di1/9Ed/xNve9jZ/1qMepVKJUqk6i5DLzdHBRxCEpYEXEVO1c2vWWjizhITYIpl1qJojxoqR75N0O1z1h3NaVXBQVDNA6txYFWJ6wvkXXP/Kq2d+g3hzdbAOjjA7hwaZwmmSaHY+29KE09fJ4ywadXisbFnpC7FjE8fYPeq4i750xUt5YvAJimaRt2x9Szg91xvPWSbfmdrPYCXY78sRU15NmKKovrwysGrWUXYfcyJi4bTFeqiL3Lx5viTcSFS91MT7D93P3rG9jth2r/GCVSFLNSKWjqVRcFI3Q5M90xBMTYyrrrBSdef+alvTpybOQugtVeZ8hnz84x+vW5uVz+f5+Mc/viAbFWVgYIDu7u7QY7qu097ezsDAwKzWMTQ0xCc/+Unuvvvu0OOf+MQn+Na3vsV9993H6173Ot75znfypS99adp1ffrTnyabzfr/goJUEITziKYup/H0mpcueu8X4RzGF2L24pl1AKx+cdW1zqNBc9bp0APbViPE+rbD8kth083MG0UJD9DPpRon4fTx0mDLk845f+IpmBo+a9b1QTpTTnPsyfIkA/nq+O/A+AFy5Rxls8yY63Do49eIVRgyC+HnXC3lOSjG1JgvnixFwQr0CutJ97Ai3gq4rSzmGhE7h2iOOWJ6sjzp1MYFODZ5zPklcB/JuxHDoNGGd5+ZTTQMwn3MfKGsKNW6yeix8tar6k6z5/OUOe+Zbdt1o0VPPvkk7e1zS0348Ic/XNcsI/hv165dc93EGnK5HLfeeitbt27lz//8z0PP/dmf/RkvetGLuOSSS/jQhz7En/7pn/LZz3522vV95CMfYXx83P935EgDdyFBEJY2iuIMWGcTJRDOY9zvvMVMTQQnPfCiN4Qfm0ckVlEUf3BU42amarDxJmeC4XRoCgixVhFi5xVexKs0CWOHYNd/wJ4fgVffcxbTKf2UOjPc2PnEVNXNW49emwHXxEiiIZ6Y8mrENEWrCjGqUqs53szrNr6OmLvuUEQsIsSmy6g6V2iJt6CgYFgGhUpVnJbNsv/3H/S9nLUxx4Qnb5axbTvUjNm/x8xWiAUjYqG0Q7dOLPq5xVLhn+cps/4maWtr88XRxo0bQyeaaZpMTk7yR3/0R3N68/e///289a1vnXaZtWvX0tvby+Bg2K60UqkwMjIyY23XxMQEN998My0tLXznO98hFpv+hLnqqqv45Cc/SalUIpGo34shkUg0fE4QBEE4z6hXIxbtebNQqHq1yTLMO+UvpsYwLKN2ULpQNHVWf/csz4XzA68etjxZTZUtTTjNxQFma5KxCCTdCHGpUgoJsUrAlt5uUNdlmZWa6I8npipuMZSm6pju8rai+GvyI1tejZgdqBGLCK+0ng6ZUpyL6KpOU6yJSWOSXDnnR6u8Hm0pPUVcT5N27x95s0jFrh6/uBZ3JnkqdYRvA+qmJkK13jCa3phuh403zskxdiky6zv0F77wBWzb5u1vfzsf//jHyWarVrXxeJzVq1dzzTXXzOnNu7q66Oqa3uEF4JprrmFsbIzHHnuMyy5zmiI++OCDWJbFVVdd1fB1uVyOm266iUQiwfe//32SyZm/0J544gna2tpEaAmCIAgOyhmKiHnvpcXB8qra5zcbPNe0oTmTXeFsa1OXtHY43/AjYhPVQbCRP6vW9R5eRCwfqvMKYwWcER2c69dyjSbCeDViVSGmeMsrqi/qlKgQC4mvsBCLugOeq2QTWSaNScZL4/Q2OUENT4hlE1mwY6QUV4hV8n4zZwUn4t4w6t6AYGpiqOm03iAiBtVG6Ocxs/4mectb3gLAmjVruPbaa2eMLC0kW7Zs4eabb+auu+7iy1/+MoZh8O53v5s3vvGNvmPisWPHuP766/na177GlVdeSS6X48YbbySfz/OP//iP5HI531Sjq6sLTdO45557OHnyJFdffTXJZJL77ruPT33qU3zgAx84Y/smCIIgnOMEa8RYJLOOIHqyaoRxGhGx4M8Fp6kTLr3z3HP9E04fT1iXJ6vnYaUUMOs4ezViSS18PWiKRkpP1W2m7ONFuMxK+DG7mnxouDVQuqoHUhOVgEN9WIhpUNesQ1f1WtfGc5RsIsuxyWO++AIYL7tCLJ6FikLavX/kjbxv1BHTYuH053mkJobEW6PUxBcIc97rl73sZf7vxWKRcjncbySTWZxeIl//+td597vfzfXXX4+qqrzuda/ji1/8ov+8YRjs3r2bfN6ZJXn88cfZsWMHAOvXrw+t68CBA6xevZpYLMb/+T//h/e+973Yts369ev5/Oc/z1133bUo+yAIgiAsQTzRZRlVUbaYg4Zg0995RsS8gc6iCTGATG3rGOE8IFgj5tmb2zbkR5zfz2JqoieUvKhXUk+SSWRCQqwmIqZEImKK4raKoJqa6NWIBSJidsC+PirEFNtGqU2CJK7Gq73DznGyCSezzRNfADm3QXsmkYGudaT33QepVvKVvF8f5t1TTsesI5Sa2Mis4wXCnL9J8vk8f/qnf8q3vvUthoeHa543zdqGdgtBe3t7w+bNAKtXrw7l/r785S+vzQWOcPPNN4caOQuCIAhCDV6EoDRRjQAtqhALzPqfqxEx4fzFrxGbqtaFARRGnZ9nMQqqKAoJLeEbSiS0BNl4luMc95epGft5ES472LQ5nE5YsYOpiY6QC5p1qJ64ckWdgl31TQxExGJabPHqMheYbNwRYp74gkBELJGFdDupK++GAz8IRcS8tMK5TvbE1BiaotX2etMCVvYvQOYsPz/4wQ/y4IMP8v/9f/8fiUSCv/3bv+XjH/84fX19fO1rX1uMbRQEQRCEs0fSrYkujgdqxBYzNTFYP3GaQuwsNN4VljixJjdiZDlNuz28SNNZTkcN1hcltIQf2fFoZNZh+73CFHQ1mG5cta8PpibaKL6o8w3qAsY9mi/mqkIsri2diFjGbVMQjIh5aYqZuPNcOt0BiuJExFwh5omouU72KIriR8VCQqxjgzPZ1bZ6/juzhJmz/Lznnnv42te+xstf/nLe9ra38ZKXvIT169ezatUqvv71r3PHHXcsxnYKgiAIwtkhERBiabdNy2IKsWAh+zytmyUiJswbVXXEVmkSJk/VPn+WhVhST0Kp+ntUiI2Vxrj/0P0UKgVWZVZxY3IZAJabsaUoKik1zgRlfLOOQERMtRzBaSsEzDq8iFhVwKmeAAtExOJqfFbNjc8FvIhYsVLkb576GwAMN33TO6ZeXZdlW9x36D6g9t4yl8metJ5mojwRTk3s2uj8e4Ey54jYyMgIa9euBZx6sJERZ7bkxS9+MQ8//PDCbp0gCIIgnG2Sbu2zaTiDUzhzqYnzjIj1NvWioNCd7p55YUGI0sgJU9WrqWRniWhErCfdE5pwODZxjFw5h2EZ7B3by7jheAd4NWKqonBd8xonyuXXiNVxTfSTFIM1YlUHVU9uBZs2x7U4l3Q7Pfo2t29esH1eDGJazHdLNCzDF2GdqU7fFEVXdXrSPQCYrlj1XtOT7pnzPaavuQ9VUelKz+yY/kJhzt8ka9eu5cCBA6xcuZLNmzfzrW99iyuvvJJ77rmH1tbWRdhEQRAEQTiLaDEnClCeqqZqLaoQC0bE5udQt61zGxvbNkpqojA/EhngRO3j8XRN36wzTdA5MaklaY4389Ztb+Xbe77NaHGUil0JLX+kMEiWamqiisryeJY/yGzlO8k2hmzDj4jpSsA1Uanacah1ImLeUdDVGJ5tXVyL055s564L71oStWK3rb+NifJE6LHmWHOoV/BrN7zWX0ZTNJpdM5dN7ZtYm107p3vM1cuu5vKey+W+FGDOZ8nb3vY2nnzySV72spfx4Q9/mFe96lX81V/9FYZh8PnPf34xtlEQBEEQzi7JjCPEDNdF7kwIMUUJi7I5IoMdYd4ks/UfPwfaFSQC14T3e0yLoeKZcoRdEw8XBrkAMO1qjRgoxJRqlZcRTE30a8QI2NdH6sFsC819MhYUYm7K3VK59lRFrUntnMsyc91PRVGWzLE5U8z5m+S9732v//sNN9zArl27eOyxx1i/fj0XXXTRgm6cIAiCIJwTJLOQC0QIFrMg3xto6smzHn0QXqA0EmJn0breI5iaGIyOeWLJS6HLJrKMl8Y5lh/EtC3fNVFV1IANPWDbVFzxpqkxfz2WEjDrUCMRMWy/tkfXYuAmMS6VHmLCucNpm/avWrWK22+/nfb2du6+++6F2CZBEARBOLeIDkzPhFnHPI06BOG0STToCXsORMSC4isoynwB5YqqrlQXKT2FYZucMgvYbh2YSkCIKQA2Bp4QC9aIUadGLOCa6M6RBOvTRIgJc2XBuqcNDw/zd3/3dwu1OkEQBEE4d4im5ixmamJztzPga+5ZvPcQhOlINhJi86tZXEhCqYlBIeYKKNMz3lA0mtwIXtm2sOxAvZcr2lQA28b0ngumJno1YopSp0bMcqJpRISYKkJMmBvnfiWhIAiCIJxtaiJii/j1mW6Ha98NukTEhLNEo4jYOZCaGIqIBUSZb7Lh1YgpbpTMFVRV4w0lZLoBNpb/nOoLumqNWCA9uI5roq7FwPUHkfonYa4sWERMEARBEM5bMssc90SPxXZEizc5/ZwE4WzQKC32HEhNjNrXe/gRMbuagug8ptSmGbqCys1M9GvEFFWrCjqCrom1qYl+jZhExITTQO7ygiAIgjAT8SbYeFP1b00SSoTzmEYmMedAamIy0Fsv+Hu0RkxRFNeYwxFUVp2ImOePaAVs6oP29ZazIl/kBSNpnueiLjViwmkw62+S22+/fdrnx8bGTndbBEEQBOHcpecCKOYcG/tk69neGkE487g9pM4maT1NTI0RU2OhCFRNREypRsQcc8RAdMsz6wCnRsytBVMU1Rd0tvscKIGIWDU1sUlxhtCZRAamjgEixIS5M2shls1O32cgm81y5513nvYGCYIgCMI5iaLA6hed7a0QhDNDugPyw9CxDkYPgm2dE0IspsV43cbXoSlaqPGwJ5Y8sw4FpVojZttYilfxFbSvVwDbEWluBM3vR6bgRMoUpVomFkhNfEmyl62xVpTmlTw28hwgQkyYO7MWYn//93+/mNshCIIgCIIgnCtc/Ltw4ilYfimMHQarArHkzK87A7Qn2xs+F0xNrFcjFo6I2W7Uy/nLT2ck3NBZ9St5qhGxuKKxTG9iIFDLKTViwlyRJHdBEARBEAQhTDILa17i/N695exuyyzwI2IBs476NWIqnqBSgnJLUdweY86fFoofEfMjb15EzKr47+sZfUDYyl4QZoOYdQiCIAiCIAhLGr8RcyAi5mGD30dMCUTE1MgaoqmJ/uPekr4QMwPrrr6PtpiN3oXzEomICYIgCIIgCEuaaESsmmboRcS85bSqoIJqaqISTU1UHPFWr0YsEBHra+5jWdMyOlIdi7RnwvmMCDFBEARBEARhaeOlFLoRMb+PmGtD72sp18Cj+hLbX4UadE1UFKr2HtE+YtWImKbFeO2G1y7CDgkvBCQ1URAEQRAEQVjSqNFEw0BEDLtaI6Ypmi/EVNsOR8QCosvyXxOsEfPUnhl4IxlKC/NHzh5BEARBEARhSROsCQO3ZswxTcTyLOqp00eM+q6Jlt/EmUAfsUhqYiC6JgjzQVITBUEQBEEQhCVNNCJWNd5wUgy9iJiiBoWYEoqIqQRTE8F2I2I+UbMOiYYJp4kIMUEQBEEQBGFpEwlMKUq1obOF7bsqqqGGzsFuYa5roh8R81cUiIh5qYkV/zWCcDqIEBMEQRAEQRCWNDU1Yn69l5eAWC81sbahs2+D7z9Xfaza0NmLiIkQE04PEWKCIAiCIAjCkiZaI+YILpyImG0HlquKs5B0U2pdExXnBXUaOktqorAwiBATBEEQBEEQljSqUhsRU1y3jmCNWLCPWE1qImqgj1i1RsyPiIkQExYYOYMEQRAEQRCE84pqvZdTI2YHHvcFlEJtQ2eqrol24HFnmTquiYJwGkhETBAEQRAEQVjSRCNijnt91V7ed00MCDHVhqhZh5+a6P+/TkNnX4hJPEM4PeQMEgRBEARBEJY0VUMNh6AVvYXt14mparWhc8isQ4m6JlajaDUNnW1JTRQWBjmDBEEQBEEQhCVNPbMOLyJmowRcE4NCLLQG/3XgpibatpOaKDViwiIhZ5AgCIIgCIKwpIlGxCAgqpRqX7CQfb1NTUTMW49j8OGuOVoj5r9GhtHC6SFnkCAIgiAIgrCkidaIBUUVoYiYEu4j1qBGzMJ1TQw1dI4Om8WsQzg9xKxDEARBEARBWNLU1IgFRZWCXyOmBOzr1WBEjGATaLBaulBzHZCIB1ITI8JLXBOF00QiYoIgCIIgCMKSJlojpgRSCm2UQGqihhfJCkXEImYdxJqw174U0h3VdauR+IWkJgqniUTEBEEQBEEQhCVNNCIW7AlWbc4c6SMWbegcjKLZFortCTYvIqZF3lSEmHB6yBkkCIIgCIIgLGmiNWKhiJiiYHp9xNRAamK9hs6+a6IVFm8AqggxYWFZMmfQyMgId9xxB5lMhtbWVt7xjncwOTk57Wte/vKXo7gXlvfvj/7oj0LLHD58mFtvvZV0Ok13dzcf/OAHqVQqi7krgiAIgiAIwgLS0L4eNzXRro2IKYH6MK9xs/8a23bs65kuIiY1YsLpsWRSE++44w5OnDjBfffdh2EYvO1tb+Puu+/mG9/4xrSvu+uuu/jEJz7h/51Op/3fTdPk1ltvpbe3l1/84hecOHGCO++8k1gsxqc+9alF2xdBEARBEARh4aiXmlg164j2EXMjYhCIiBGOiNlWVYj5NWISERMWliUhxJ577jnuvfdeHn30US6//HIAvvSlL3HLLbfwuc99jr6+voavTafT9Pb21n3uxz/+Mc8++yz3338/PT09bN++nU9+8pN86EMf4s///M+Jx+OLsj+CIAiCIAjCwlHPrMMTVdWeYF5qovtHpEbM+w8cIWZVO4l5L468qQgx4fRYEmfQI488Qmtrqy/CAG644QZUVWXHjh3TvvbrX/86nZ2dXHDBBXzkIx8hn8+H1nvhhRfS09PjP3bTTTeRy+V45plnGq6zVCqRy+VC/wRBEARBEISzgxoZ0oZSExUFq05ETIGahs5V8VZNTZQaMWGxWBIRsYGBAbq7u0OP6bpOe3s7AwMDDV/3pje9iVWrVtHX18dTTz3Fhz70IXbv3s2//du/+esNijDA/3u69X7605/m4x//+Hx3RxAEQRAEQVhA6taIBezrfVGlqn6tlzqDa6KNHVpnTY2YNHQWTpOzKsQ+/OEP87/+1/+adpnnnntu3uu/++67/d8vvPBCli1bxvXXX8++fftYt27dvNf7kY98hPe9733+37lcjv7+/nmvTxAEQRAEQZg/USEG1ZRCS6mmJqoEzTqshq6JEhETzgRnVYi9//3v561vfeu0y6xdu5be3l4GBwdDj1cqFUZGRhrWf9XjqquuAmDv3r2sW7eO3t5efvWrX4WWOXnyJMC0600kEiQSiVm/ryAIgiAIgrB4RM06wmmGhM06XEGlRCNi7n/guCZadrRGTFwThYXlrAqxrq4uurq6ZlzummuuYWxsjMcee4zLLrsMgAcffBDLsnxxNRueeOIJAJYtW+av9y/+4i8YHBz0Ux/vu+8+MpkMW7dunePeCIIgCIIgCGeDun3EfPt6/BqxYB8xhYh9fSQ1sWbdEhETFpglcQZt2bKFm2++mbvuuotf/epX/PznP+fd7343b3zjG33HxGPHjrF582Y/wrVv3z4++clP8thjj3Hw4EG+//3vc+edd/LSl76Uiy66CIAbb7yRrVu38vu///s8+eST/OhHP+KjH/0o73rXuyTiJQiCIAiCsESYzr7eRqmmJiqaH9kKpiYq0YbOtlUVY4q/0rD4EiEmnCZL5gz6+te/zubNm7n++uu55ZZbePGLX8xf//Vf+88bhsHu3bt9V8R4PM7999/PjTfeyObNm3n/+9/P6173Ou655x7/NZqm8e///u9omsY111zDm9/8Zu68885Q3zFBEARBEATh3Ga6hs4WVBs6q6qfUhgy6/AeC9aIeemMweGyGhRikpoonB5LwjURoL29fdrmzatXr/aLKgH6+/t56KGHZlzvqlWr+MEPfrAg2ygIgiAIgiCceWoiYsE+YgH7ekXRqymGtu1HxKKpjcGIWEjkKRpQcX9fMvEM4RxFziBBEARBEARhSRMVUsG/gzViarBGzLaAsBALpib66wpFxAJ1YiLEhNNEziBBEARBEARhSVOvRiwYEata0VdrxFQIZCa6jym1romhVSsixISFQ84gQRAEQRAEYUkTrRELuiZaVPuIKUogImbVRsSqTouBGjFFImLC4iBnkCAIgiAIgrCkma6PmGNU74gqTVGrfcSwamrE6rkmhtYd6iUmZh3C6SFCTBAEQRAEQVjS1IuIeTrJUuz6fcQCrokKYSFmB3qMhSNiYl8vLBxyBgmCIAiCIAhLGjUypFUUxX/Mton0Eatj1uEKrGBD56BhR3XFwdREiYgJp4cIMUEQBEEQBGFpE9FEqqJWRVXQrEPVfSGmhuzrPQOPamqiXc/aXg10fpKImHCayBkkCIIgCIIgLGmi9vUKSihKVu0jFqgRCzZ0dpWcJ95su2rWEaoRUyUiJiwcIsQEQRAEQRCEJU09+3q/Rgww6/QRA9vXYX5qYsA1sXFDZ+93GUYLp4ecQYIgCIIgCMKSpqahM2rAeCOamhjsI2aFXh9cj2mbwHQRMRlGC6eHnEGCIAiCIAjCeYWiBPuI2YHHA2YdKOCJrUhDZ6BBRExcE4WFQ84gQRAEQRAEYUlTt0bMfawStKIPmHUoUBMRC4ouLyIWcmSUiJiwgMgZJAiCIAiCICxpgumDCkpIUFnRnmB+Q2clIMTCromAn87YsEZMGjoLp4kIMUEQBEEQBGFJExRL3u+eODNDqYmq43aoKKGImFKnRqzeuiUiJiwkcgYJgiAIgiAIS5pgRCxqvFEJNGbW1Jj7Ag1VUeqmJtY4MCKuicLiIGeQIAiCIAiCsKQJRrI84eQ3dA6kGCpeRKtBRMxdQcN1owaXk9RE4fQQISYIgiAIgiAsaUI1YpHURPy/q7/7KYZ1hJhKrfFH9Q9p6CwsHCLEBEEQBEEQhCVNqEYsEhHzQlwqSjWdUFGdv73+YgGBVePAKDViwiIhZ5AgCIIgCIKwpAmKJb9GzBvmKvWEmOamJnqNngOpjYrUiAlnBjmDBEEQBEEQhCVNMJ2wtidYIEIWiIiF0hlVveb1df+WiJiwgMgZJAiCIAiCICxpolGs0GN+RIyqeFK1cBQtKMRmXSMmw2jh9JAzSBAEQRAEQVjS1LOvrz4WSE30DTzUkDliUIjVpCaGasSCQ2cx6xBODxFigiAIgiAIwpKmbo2YEq4RU4imJgZeP01qokTEhMVCziBBEARBEARhSRMVTxARUHipidWIWFCKKQGBVfM6qRETFgk5gwRBEARBEIQlTd3UxKh9vaKF+oiFUxNj1XVNl5oofcSEBUSEmCAIgiAIgrCkqdtHLNLQWQ0JqrBrYlCIBSNgNSYgEhETFhA5gwRBEARBEIQlTb2IWFVQKZG/qfYR8/8MNHQODI+jaYoEaskkIiacLiLEBEEQBEEQhCVNvShWNCKmh4SYGrC3V520xcjro+v1lq37uyDMAzmDBEEQBEEQhCVNqDlzsIFzAC1Y36Vq1UFwUJQREXU1ETFJTRQWDjmDBEEQBEEQhCWNoii+aKrpI+bViAV7gCnhnmJB8TVtjZjY1wsLiJxBgiAIgiAIwtLH01U1NWFuaiJBERWoEVPUhnVh00bEpKGzcJqIEBMEQRAEQRCWPJ6Y8mvElEhELFLf5fcRU8OpidPXiElETFg45AwSBEEQBEEQljxKHcGlBFIQ9UiNWDAiVs91EaRGTFhc5AwSBEEQBEEQljw1tWGR39WIiFIUxRFqkRqx0OtrasTENVFYOOQMEgRBEARBEM4balIL3b+1RmmFESEWXG76iJjUiAmnx5IRYiMjI9xxxx1kMhlaW1t5xzveweTkZMPlDx486M90RP/9y7/8i79cvee/+c1vnoldEgRBEARBEBYIv5Fz1HhDTwKgx5urC7tiS4Ea+/qEnqhZZ/R1grAQ6DMvcm5wxx13cOLECe677z4Mw+Btb3sbd999N9/4xjfqLt/f38+JEydCj/31X/81n/3sZ3nFK14Revzv//7vufnmm/2/W1tbF3z7BUEQBEEQhMWjXv8wRVEgloLll6H2XRVY2K0nQ8FSlJB4S2iJ8OuDqCLEhIVjSQix5557jnvvvZdHH32Uyy+/HIAvfelL3HLLLXzuc5+jr6+v5jWaptHb2xt67Dvf+Q5veMMbaG5uDj3e2tpas6wgCIIgCIKwdPBrxJQ6NWLxNJobGXMW1qrPR1ITQ0IsmpoYjIjZ1gJtufBCZUmkJj7yyCO0trb6IgzghhtuQFVVduzYMat1PPbYYzzxxBO84x3vqHnuXe96F52dnVx55ZV85StfwbbtaddVKpXI5XKhf4IgCIIgCMLZJxjdalT7hW/sQU1qYlKrCrZpI2JafEG2V3jhsiQiYgMDA3R3d4ce03Wd9vZ2BgYGZrWOv/u7v2PLli1ce+21occ/8YlPcN1115FOp/nxj3/MO9/5TiYnJ3nPe97TcF2f/vSn+fjHPz73HREEQRAEQRAWhWkjYoCmhhs6+8sqWjgiFqwRi8YsFAW2vgbMEiQzC7n5wguQsxoR+/CHP9zQUMP7t2vXrtN+n0KhwDe+8Y260bA/+7M/40UvehGXXHIJH/rQh/jTP/1TPvvZz067vo985COMj4/7/44cOXLa2ygIgiAIgiDMH090hcw6AqKscURMCQm2aSNiAD1boe+Shdlo4QXNWY2Ivf/97+etb33rtMusXbuW3t5eBgcHQ49XKhVGRkZmVdv17W9/m3w+z5133jnjsldddRWf/OQnKZVKJBKJusskEomGzwmCIAiCIAhnHl80BbRTKCIWaegMjllHjWuiJmM84cxwVoVYV1cXXV1dMy53zTXXMDY2xmOPPcZll10GwIMPPohlWVx11VUzvNpJS3z1q189q/d64oknaGtrE6ElCIIgCIKwhKgXEQvViKmNa8SCr0kGTD1q7OsFYQFZEjViW7Zs4eabb+auu+7iy1/+MoZh8O53v5s3vvGNvmPisWPHuP766/na177GlVde6b927969PPzww/zgBz+oWe8999zDyZMnufrqq0kmk9x333186lOf4gMf+MAZ2zdBEARBEATh9PH7iCmzT030fm/kmmgzvYGbIJwOS0KIAXz961/n3e9+N9dffz2qqvK6172OL37xi/7zhmGwe/du8vl86HVf+cpXWLFiBTfeeGPNOmOxGP/n//wf3vve92LbNuvXr+fzn/88d91116LvjyAIgiAIgrBw1O0j1ig10W/+XJuaGA+4IZbN8mJtriAsHSHW3t7esHkzwOrVq+vazn/qU5/iU5/6VN3X3HzzzaFGzoIgCIIgCMLSxBNTQfHVMCLm9xGjJiIW/F2EmLCYSOKrIAiCIAiCsOTxRFdIVDFDjZii1NSIBREhJiwmIsQEQRAEQRCEJY+fmtggIhYy3lDCEbG6NvWAaZsLvp2C4CFCTBAEQRAEQVjy1GvoHERXAxU57rJZNYGiarTEWxZ9+wQhypKpERMEQRAEQRCERtQz6wjZ19epEbspvZLiutfSnMiemY0UhAASERMEQRAEQRCWPH6NWGB4G0xTDKcmOo/rikpzIlOzLukfJpwJ5CwTBEEQBEEQljwzRcTCqYnB6Fhtgliwl5ggLBYixARBEARBEIQlj18jRv0aMTXSxLn6RK0Qa020LuSmCUJdRIgJgiAIgiAI5w1BwWXZlv+7rgQElzp9ROz6VdezvHk5t669dVG2URBAzDoEQRAEQRCE8wBPgIWEGFbN88CMEbFMPMNr1r9m4TdSEAJIREwQBEEQBEFY8tRLSbRt2/+9oQFHHSEmCGcCEWKCIAiCIAjCkqduRCyQmhjqLxZ4XISYcLYQISYIgiAIgiAseZJ6MvQTwLTN+guHhJhWfxlBWGRkCkAQBEEQBEFY8lzZeyXLm5ezNrvWfyyYmhgi2DtMqe+yKAiLjQgxQRAEQRAEYcmTjqXZ0LYh9FgwNTFEMgOX3AGB6JkgnGlEiAmCIAiCIAjnJTYNImIArSvP3IYIQh2kRkwQBEEQBEE4L2kYEROEcwARYoIgCIIgCMJ5iQgx4VxGhJggCIIgCIJwXjJtaqIgnGVEiAmCIAiCIAjnJRIRE85lRIgJgiAIgiAI5yUixIRzGRFigiAIgiAIwnlJwz5ignAOIEJMEARBEARBOC+RGjHhXEaEmCAIgiAIgiAIwhlGhJggCIIgCIIgCMIZRoSYIAiCIAiCIAjCGUaEmCAIgiAIgnBeclnPZQBs79p+djdEEOqgn+0NEARBEARBEITF4MreK9nQtoG2RNvZ3hRBqEGEmCAIgiAIgnBeoigK7cn2s70ZglAXSU0UBEEQBEEQBEE4w4gQEwRBEARBEARBOMOIEBMEQRAEQRAEQTjDiBATBEEQBEEQBEE4w4gQEwRBEARBEARBOMOIEBMEQRAEQRAEQTjDiBATBEEQBEEQBEE4wywZIfYXf/EXXHvttaTTaVpbW2f1Gtu2+djHPsayZctIpVLccMMN7NmzJ7TMyMgId9xxB5lMhtbWVt7xjncwOTm5CHsgCIIgCIIgCILgsGSEWLlc5vWvfz1//Md/POvXfOYzn+GLX/wiX/7yl9mxYwdNTU3cdNNNFItFf5k77riDZ555hvvuu49///d/5+GHH+buu+9ejF0QBEEQBEEQBEEAQLFt2z7bGzEXvvrVr/Inf/InjI2NTbucbdv09fXx/ve/nw984AMAjI+P09PTw1e/+lXe+MY38txzz7F161YeffRRLr/8cgDuvfdebrnlFo4ePUpfX9+stimXy5HNZhkfHyeTyZzW/gmCIAiCIAiCsHSZrTZYMhGxuXLgwAEGBga44YYb/Mey2SxXXXUVjzzyCACPPPIIra2tvggDuOGGG1BVlR07djRcd6lUIpfLhf4JgiAIgiAIgiDMlvNWiA0MDADQ09MTerynp8d/bmBggO7u7tDzuq7T3t7uL1OPT3/602SzWf9ff3//Am+9IAiCIAiCIAjnM2dViH34wx9GUZRp/+3atetsbmJdPvKRjzA+Pu7/O3LkyNneJEEQBEEQBEEQlhD62Xzz97///bz1rW+ddpm1a9fOa929vb0AnDx5kmXLlvmPnzx5ku3bt/vLDA4Ohl5XqVQYGRnxX1+PRCJBIpGY13YJgiAIgiAIgiCcVSHW1dVFV1fXoqx7zZo19Pb28sADD/jCK5fLsWPHDt958ZprrmFsbIzHHnuMyy67DPj/27v7mKrL/4/jr0PcGiKYyo2K4jTRDCaadKbNFig6a96gqWPLMnEabJoupzVAnQ2zrS2bd1tN3HJZ1sCbpclAME0QEbzDmDoVlyClQxEVEK7fH87Pz6N+v99u7BzgPB/bZ+N8rvfnw3XtfZ3D3lx8LqT8/Hy1trYqNjb2T3+vB/ud8KwYAAAA4N4e1AT/a09ElxZif0VVVZWuX7+uqqoqtbS0qLy8XJLUv39/+fv7S5IiIyOVmZmpyZMny2azaeHChVq1apUGDBigiIgIpaWlKSwsTJMmTZIkDRo0SOPGjVNycrI2btyo5uZmpaamasaMGX96x0RJqq+vlySeFQMAAAAg6X6N0KVLl//Y3m4KsfT0dG3ZssV6PXToUEnS/v379eqrr0qSKisrdePGDStmyZIlamho0Ny5c1VXV6dRo0Zp79698vX1tWK2bt2q1NRUxcXFycPDQ4mJiVq7du1f6ltYWJguX76szp07y2az/YNR/nM3b95U7969dfnyZbbSd0PkH8wB90b+3Rv5B3OgbTDGqL6+/n8u7LS7/yOG/47/aebeyD+YA+6N/Ls38g/mQPvSYbevBwAAAIC2ikIMAAAAAJyMQqyD8fHxUUZGBtvruynyD+aAeyP/7o38gznQvvCMGAAAAAA4GStiAAAAAOBkFGIAAAAA4GQUYgAAAADgZBRiAAAAAOBkFGIdyLp169S3b1/5+voqNjZWR44ccXWX8JQcOHBAb7zxhsLCwmSz2ZSTk+PQboxRenq6QkND5efnp/j4eJ09e9Yh5vr160pKSlJAQIACAwP17rvv6tatW04cBf6OzMxMvfTSS+rcubN69OihSZMmqbKy0iHm7t27SklJ0XPPPSd/f38lJibq6tWrDjFVVVWaMGGCOnXqpB49euiDDz7QvXv3nDkU/E0bNmxQVFSUAgICFBAQILvdrj179ljt5N+9rF69WjabTQsXLrTOMQc6ruXLl8tmszkckZGRVju5b98oxDqIb7/9VosWLVJGRoaOHTum6OhoJSQkqLa21tVdw1PQ0NCg6OhorVu37onta9as0dq1a7Vx40YVFxfr2WefVUJCgu7evWvFJCUl6fTp08rNzdXu3bt14MABzZ0711lDwN9UWFiolJQUFRUVKTc3V83NzRo7dqwaGhqsmPfff1+7du3S9u3bVVhYqCtXrmjKlClWe0tLiyZMmKCmpib98ssv2rJli7KyspSenu6KIeEv6tWrl1avXq3S0lIdPXpUr732miZOnKjTp09LIv/upKSkRJs2bVJUVJTDeeZAx/bCCy+ourraOg4ePGi1kft2zqBDGDFihElJSbFet7S0mLCwMJOZmenCXuHfIMlkZ2dbr1tbW01ISIj59NNPrXN1dXXGx8fHfPPNN8YYYyoqKowkU1JSYsXs2bPH2Gw289tvvzmt7/jnamtrjSRTWFhojLmfay8vL7N9+3Yr5syZM0aSOXz4sDHGmB9//NF4eHiYmpoaK2bDhg0mICDANDY2OncAeCqCgoLMl19+Sf7dSH19vRkwYIDJzc01o0ePNgsWLDDG8BnQ0WVkZJjo6OgntpH79o8VsQ6gqalJpaWlio+Pt855eHgoPj5ehw8fdmHP4AwXLlxQTU2NQ/67dOmi2NhYK/+HDx9WYGCghg8fbsXEx8fLw8NDxcXFTu8z/r4bN25Ikrp27SpJKi0tVXNzs0P+IyMjFR4e7pD/F198UcHBwVZMQkKCbt68aa2qoH1oaWnRtm3b1NDQILvdTv7dSEpKiiZMmOCQa4nPAHdw9uxZhYWFqV+/fkpKSlJVVZUkct8ReLq6A/jn/vjjD7W0tDi8ySQpODhYv/76q4t6BWepqamRpCfm/0FbTU2NevTo4dDu6emprl27WjFo+1pbW7Vw4UKNHDlSQ4YMkXQ/t97e3goMDHSIfTT/T5ofD9rQ9p08eVJ2u113796Vv7+/srOzNXjwYJWXl5N/N7Bt2zYdO3ZMJSUlj7XxGdCxxcbGKisrSwMHDlR1dbVWrFihV155RadOnSL3HQCFGAC0EykpKTp16pTD8wFwDwMHDlR5eblu3Lih77//XrNmzVJhYaGruwUnuHz5shYsWKDc3Fz5+vq6ujtwsvHjx1tfR0VFKTY2Vn369NF3330nPz8/F/YMTwN/mtgBdOvWTc8888xju+RcvXpVISEhLuoVnOVBjv9b/kNCQh7buOXevXu6fv06c6SdSE1N1e7du7V//3716tXLOh8SEqKmpibV1dU5xD+a/yfNjwdtaPu8vb3Vv39/DRs2TJmZmYqOjtbnn39O/t1AaWmpamtrFRMTI09PT3l6eqqwsFBr166Vp6engoODmQNuJDAwUM8//7zOnTvH+78DoBDrALy9vTVs2DDl5eVZ51pbW5WXlye73e7CnsEZIiIiFBIS4pD/mzdvqri42Mq/3W5XXV2dSktLrZj8/Hy1trYqNjbW6X3Gn2eMUWpqqrKzs5Wfn6+IiAiH9mHDhsnLy8sh/5WVlaqqqnLI/8mTJx2K8dzcXAUEBGjw4MHOGQieqtbWVjU2NpJ/NxAXF6eTJ0+qvLzcOoYPH66kpCTra+aA+7h165bOnz+v0NBQ3v8dgat3C8HTsW3bNuPj42OysrJMRUWFmTt3rgkMDHTYJQftV319vSkrKzNlZWVGkvnss89MWVmZuXTpkjHGmNWrV5vAwECzY8cOc+LECTNx4kQTERFh7ty5Y91j3LhxZujQoaa4uNgcPHjQDBgwwMycOdNVQ8KfNH/+fNOlSxdTUFBgqqurreP27dtWzLx580x4eLjJz883R48eNXa73djtdqv93r17ZsiQIWbs2LGmvLzc7N2713Tv3t0sW7bMFUPCX7R06VJTWFhoLly4YE6cOGGWLl1qbDab2bdvnzGG/Lujh3dNNIY50JEtXrzYFBQUmAsXLphDhw6Z+Ph4061bN1NbW2uMIfftHYVYB/LFF1+Y8PBw4+3tbUaMGGGKiopc3SU8Jfv37zeSHjtmzZpljLm/hX1aWpoJDg42Pj4+Ji4uzlRWVjrc49q1a2bmzJnG39/fBAQEmHfeecfU19e7YDT4K56Ud0lm8+bNVsydO3fMe++9Z4KCgkynTp3M5MmTTXV1tcN9Ll68aMaPH2/8/PxMt27dzOLFi01zc7OTR4O/Y/bs2aZPnz7G29vbdO/e3cTFxVlFmDHk3x09WogxBzqu6dOnm9DQUOPt7W169uxppk+fbs6dO2e1k/v2zWaMMa5ZiwMAAAAA98QzYgAAAADgZBRiAAAAAOBkFGIAAAAA4GQUYgAAAADgZBRiAAAAAOBkFGIAAAAA4GQUYgAAAADgZBRiAAAAAOBkFGIAAAAA4GQUYgAAPOL333/X/PnzFR4eLh8fH4WEhCghIUGHDh2SJNlsNuXk5Li2kwCAds3T1R0AAKCtSUxMVFNTk7Zs2aJ+/frp6tWrysvL07Vr11zdNQBAB2EzxhhXdwIAgLairq5OQUFBKigo0OjRox9r79u3ry5dumS97tOnjy5evChJ2rFjh1asWKGKigqFhYVp1qxZ+uijj+Tpef/3njabTevXr9fOnTtVUFCg0NBQrVmzRlOnTnXK2AAAbQd/mggAwEP8/f3l7++vnJwcNTY2PtZeUlIiSdq8ebOqq6ut1z///LPeeustLViwQBUVFdq0aZOysrL08ccfO1yflpamxMREHT9+XElJSZoxY4bOnDnz7w8MANCmsCIGAMAjfvjhByUnJ+vOnTuKiYnR6NGjNWPGDEVFRUm6v7KVnZ2tSZMmWdfEx8crLi5Oy5Yts859/fXXWrJkia5cuWJdN2/ePG3YsMGKefnllxUTE6P169c7Z3AAgDaBFTEAAB6RmJioK1euaOfOnRo3bpwKCgoUExOjrKys/3jN8ePHtXLlSmtFzd/fX8nJyaqurtbt27etOLvd7nCd3W5nRQwA3BCbdQAA8AS+vr4aM2aMxowZo7S0NM2ZM0cZGRl6++23nxh/69YtrVixQlOmTHnivQAAeBgrYgAA/AmDBw9WQ0ODJMnLy0stLS0O7TExMaqsrFT//v0fOzw8/v/HbVFRkcN1RUVFGjRo0L8/AABAm8KKGAAAD7l27ZqmTZum2bNnKyoqSp07d9bRo0e1Zs0aTZw4UdL9nRPz8vI0cuRI+fj4KCgoSOnp6Xr99dcVHh6uqVOnysPDQ8ePH9epU6e0atUq6/7bt2/X8OHDNWrUKG3dulVHjhzRV1995arhAgBchM06AAB4SGNjo5YvX659+/bp/Pnzam5uVu/evTVt2jR9+OGH8vPz065du7Ro0SJdvHhRPXv2tLav/+mnn7Ry5UqVlZXJy8tLkZGRmjNnjpKTkyXd36xj3bp1ysnJ0YEDBxQaGqpPPvlEb775pgtHDABwBQoxAACc5Em7LQIA3BPPiAEAAACAk1GIAQAAAICTsVkHAABOwtMAAIAHWBEDAAAAACejEAMAAAAAJ6MQAwAAAAAnoxADAAAAACejEAMAAAAAJ6MQAwAAAAAnoxADAAAAACejEAMAAAAAJ/s/kv8abMu9XeYAAAAASUVORK5CYII=", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 5))\n", + "ax.plot(sim.target_lataccel_histories.flatten(), label=\"Target Lateral Acceleration\", alpha=0.5)\n", + "ax.plot(sim.current_lataccel_histories.flatten(), label=\"Actual Lateral Acceleration\", alpha=0.5)\n", + "ax.plot(sim.action_histories.flatten(), label=\"Action\", alpha=0.5)\n", + "# ax.plot([x[2] for x in sim.state_history], label=\"aEgo\", alpha=0.5)\n", + "\n", + "ax.legend()\n", + "ax.set_xlabel(\"Step\")\n", + "ax.set_ylabel(\"Lateral Acceleration\")\n", + "ax.set_title(\"Rollout\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "164.6120108028478" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "total_cost" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "sim.get_future_plan(392).shape" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "np.save('results/result1.npy', np.array(result, dtype=object), allow_pickle=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "np.load('results/result1.npy', allow_pickle=True)" ] } ], @@ -55,7 +324,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.12" + "version": "3.11.4" } }, "nbformat": 4, diff --git a/PPO_control/hyperparamenters/config0827-1.json b/PPO_control/hyperparamenters/config0827-1.json new file mode 100644 index 00000000..0ff5ac2f --- /dev/null +++ b/PPO_control/hyperparamenters/config0827-1.json @@ -0,0 +1,15 @@ +{ + "model_id": "0827-1", + "n_episode": 512, + "episode_len": 40, + "path_boundary": 0.15, + "lr": 2E-4, + "batch_size": 384, + "n_epoch": 3, + "n_step": 50000, + "c1": 0.5, + "c2": 0.01, + "clip_eps": 0.2, + "discount_factor": 0.93, + "td_decay": 0.85 +} \ No newline at end of file diff --git a/PPO_control/hyperparamenters/config0827-2.json b/PPO_control/hyperparamenters/config0827-2.json new file mode 100644 index 00000000..74c87448 --- /dev/null +++ b/PPO_control/hyperparamenters/config0827-2.json @@ -0,0 +1,15 @@ +{ + "model_id": "0827-2", + "n_episode": 512, + "episode_len": 60, + "path_boundary": 0.1, + "lr": 2.5E-4, + "batch_size": 384, + "n_epoch": 4, + "n_step": 50000, + "c1": 0.5, + "c2": 0.001, + "clip_eps": 0.2, + "discount_factor": 0.91, + "td_decay": 0.85 +} \ No newline at end of file diff --git a/PPO_control/profile_sim.out b/PPO_control/profile_sim.out new file mode 100644 index 0000000000000000000000000000000000000000..f32abcb341ec8a58571c7fa86f9b524fc50d5a7b GIT binary patch literal 1034051 zcmd3Pb$pY_^FLCjP~4?haf&+$Pzn?+ZE*={n?8M@P0Ev0aX9>N*Tdc2-CYg~aJU2x 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z^{OT1xZ&A1QstkK6-oP?MuzlB?XohnYx0Qo)RwwHCF7d^;irwkX^-nuCPVr>$NEYr zhEW}=>T(`-tXYIAmheDqpGJoCc@4p)?ZdeKXLubpKCqBX87q{`vgows)#aiX{L zlG*V}rtr5;-}=83AE(0Us8~h6EADbNytZ%VN4b$Wu)%9dE$=d>gclC3#BGlykCHy$ z7C~Rj-g75>rEbb(FRSE> zAsy@_V;d&I>2||024zd}As5RGSA3yxWb;*tWK+Zk5o<}yXb!$ipCTGviVt31{{qcl BpB4ZB diff --git a/tinyphysics_sim.py b/tinyphysics_sim.py index 4a0faa8c..ec862d90 100644 --- a/tinyphysics_sim.py +++ b/tinyphysics_sim.py @@ -136,9 +136,7 @@ def control_step(self, step_idx: int) -> None: actions = np.clip(actions, STEER_RANGE[0], STEER_RANGE[1]) self.action_histories[:, step_idx] = actions - def get_future_plan(self, step_idx: int) -> List[Tuple[State, float, FuturePlan]]: - self.futureplan[:, :, 0] = self.target_lataccel_histories[:, step_idx + 1: step_idx + FUTURE_PLAN_STEPS + 1] - + def get_future_plan(self, step_idx: int) -> np.ndarray: return np.concatenate([self.target_lataccel_histories[:, step_idx + 1: step_idx + FUTURE_PLAN_STEPS, np.newaxis], self.state_histories[:, step_idx + 1: step_idx + FUTURE_PLAN_STEPS]], axis=2) # Off by one error From 4a371c3f0d1a05deed8d2a6b046a7e44ea9f6332 Mon Sep 17 00:00:00 2001 From: RisaK Date: Sat, 24 Aug 2024 23:28:01 -0400 Subject: [PATCH 10/21] init onnx only once --- tinyphysics_sim.py | 13 +++++++------ 1 file changed, 7 insertions(+), 6 deletions(-) diff --git a/tinyphysics_sim.py b/tinyphysics_sim.py index ec862d90..04cdcaab 100644 --- a/tinyphysics_sim.py +++ b/tinyphysics_sim.py @@ -191,9 +191,12 @@ def run_rollout(data_paths, controller_type, model_path, debug=False): if not isinstance(data_paths, list): data_paths = [data_paths] tinyphysicsmodel = TinyPhysicsModel(model_path, debug=debug) - controller = importlib.import_module(f'controllers.{controller_type}').Controller() - sim = TinyPhysicsSimulator(tinyphysicsmodel, [str(x) for x in data_paths], controller=controller) - return sim.rollout(), sim.target_lataccel_histories, sim.current_lataccel_histories + costs = [] + for i in tqdm(range(0, len(data_paths), MAX_BATCH_SIZE)): + controller = importlib.import_module(f'controllers.{controller_type}').Controller() + sim = TinyPhysicsSimulator(tinyphysicsmodel, data_paths[i: min(i + MAX_BATCH_SIZE, len(data_paths))], controller=controller) + costs += sim.rollout() + return costs if __name__ == "__main__": @@ -211,8 +214,6 @@ def run_rollout(data_paths, controller_type, model_path, debug=False): print(f"\nAverage lataccel_cost: {cost[0]['lataccel_cost']:>6.4}, average jerk_cost: {cost[0]['jerk_cost']:>6.4}, average total_cost: {cost[0]['total_cost']:>6.4}") elif data_path.is_dir(): files = sorted(data_path.iterdir())[:args.num_segs] - costs = [] - for i in tqdm(range(0, args.num_segs, MAX_BATCH_SIZE)): - costs += run_rollout(files[i: min(i + MAX_BATCH_SIZE, args.num_segs)], args.controller, args.model_path)[0] + costs = run_rollout([str(f) for f in files], args.controller, args.model_path)[0] costs_df = pd.DataFrame(costs) print(f"\nAverage lataccel_cost: 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