{ "cells": [ { "cell_type": "markdown", "id": "7f4855c3-ab47-44a4-bda1-d1a469dcc624", "metadata": {}, "source": [ "# Dynamics, Neurons, and Spikes\n", "\n", "![](dynamics.png)\n", "\n", "**Dynamics** are the fundamental building blocks of neurons in `lava.dl.lib.slayer`. In this tutorial, we will go throught some fundamental neuron dynamics that are built in SLAYER and illustrate how they can be combined to build a variety of neuron models. These dynamics are custom __CUDA__ accelerated, __fixed precision__ compatible, and __PyTorch autogard__ compatible with _learnable decay(s)_ and _persistent state(s)_.\n", "\n", "**Dynamics scaling:** the internal dynamics computation are done in fixed precision range. However, the parameters and state can be interpreted in scaled representation. This has two advantages. \n", "\n", "* First, the dynamics are scaled such that the backpropagation gradients are usually in proper range for good gradient flow thus eliminating the need for unnatural scaling of surrogate gradients.\n", "* Second, the states and decays are in intuitive range rather than in abstract scaled fixed point state.\n", "\n", "### Notations:\n", "Following notation for variable is used in this notebook.\n", "\n", "| Notation | Variable |\n", "|----------|----------|\n", "| $x[t]$ | input |\n", "| $y[t]$ | state variable |\n", "| $\\vartheta[t]$ | threshold |\n", "| $r[t]$ | refractory state |\n", "| $s[t]$ | spike flag |\n", "| $\\alpha$ | leak parameter |\n", "| $\\phi$ | phase shift |\n", "\n", "**NOTE:** this is a deep dive tutorial. It introduces\n", "* neuron dynamics in SLAYER.\n", "* how some available neurons are implemented.\n", "* how one can use these dynamics to build their custom neuron model.\n", "* real and complex spike mechanism in SLAYER." ] }, { "cell_type": "code", "execution_count": 1, "id": "46fc707c-dd6f-49a3-81ca-c4aacf33e152", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import torch\n", "\n", "import lava.lib.dl.slayer as slayer" ] }, { "cell_type": "markdown", "id": "74f46fe1-6cdb-4146-b408-d522f5993d61", "metadata": {}, "source": [ "# Parameter setup" ] }, { "cell_type": "markdown", "id": "0aa88cfe-7efc-4fa4-89d2-94a13fc1596f", "metadata": {}, "source": [ "## Select Device" ] }, { "cell_type": "code", "execution_count": 2, "id": "10dba343-a01c-4e94-ab09-7ad0021f7742", "metadata": {}, "outputs": [], "source": [ "device = torch.device('cpu') \n", "# device = torch.device('cuda')" ] }, { "cell_type": "markdown", "id": "e509d0c7-cd7c-44a4-bf2b-792619662441", "metadata": {}, "source": [ "## Setup weighted spike input" ] }, { "cell_type": "code", "execution_count": 3, "id": "a7a83a9e-ba8f-4315-bf0f-5375113e2c78", "metadata": {}, "outputs": [], "source": [ "time = np.arange(1000)\n", "t = torch.FloatTensor(time).to(device)\n", "input = torch.zeros_like(t)\n", "for tt, ww in [[10, 1], [97, 1.8], [100, 1.6], [270, -3], [500, 0.5]]:\n", " input[tt] = ww" ] }, { "cell_type": "markdown", "id": "135bebde-847b-414a-85b2-5a260725d388", "metadata": {}, "source": [ "## Set dynamics decay and state" ] }, { "cell_type": "code", "execution_count": 4, "id": "4934e6c4-03ef-4eac-bbfb-61d57890eb7b", "metadata": {}, "outputs": [], "source": [ "scale = 1<<12 # scale factor for integer simulation\n", "decay = torch.FloatTensor([0.1 * scale]).to(device)\n", "initial_state = torch.FloatTensor([0]).to(device)\n", "threshold = 1.5" ] }, { "cell_type": "markdown", "id": "207fc361-6f13-4f19-8072-6e6afaffce4b", "metadata": { "tags": [] }, "source": [ "# Dynamics" ] }, { "cell_type": "markdown", "id": "fb901477-60fb-4306-aa30-395dc627dcaa", "metadata": { "tags": [] }, "source": [ "## 1. Leaky integrator\n", "\n", "Leaky integrator is the basic first order neuron dynamics represented by the following discrete system:\n", "\n", "_state dynamics_: $y[t] = (1-\\alpha)\\,y[t-1] + x[t]$\n", "\n", "_spike dynamics_: $s[t] = y[t] \\geq \\vartheta$\n", "\n", "_reset dynamics_: $y[t] = 0$\n", "\n", "Leaky integrator dynamics can be cascaded with other dynamics to form a second order neuron like CUBA neuron and other higer order neurons." ] }, { "cell_type": "code", "execution_count": 5, "id": "6f122970-a366-472c-bbf4-7a5577a1cb9a", "metadata": {}, "outputs": [], "source": [ "y = slayer.neuron.dynamics.leaky_integrator.dynamics(input, decay=decay, state=initial_state, w_scale=scale, threshold=threshold)" ] }, { "cell_type": "markdown", "id": "b681e1d1-9361-4266-b3ee-4773a20e0475", "metadata": {}, "source": [ "#### 1.0.1 Spike \n", "\n", "Fully backpropagable spike mechanism is avalilable as `slayer.spike.Spike`. It supports binary as well as graded spikes." ] }, { "cell_type": "code", "execution_count": 6, "id": "a125b5f2-4cf3-4ec5-a2ac-855d45f0ca96", "metadata": {}, "outputs": [], "source": [ "sp = slayer.spike.Spike.apply(\n", " y, \n", " threshold, \n", " 1, # tau_rho: gradient relaxation constant \n", " 1, # scale_rho: gradient scale constant\n", " False, # graded_spike: graded or binary spike \n", " 0, # voltage_last: voltage at t=-1\n", " 1, # scale: graded spike scale \n", " )" ] }, { "cell_type": "markdown", "id": "6059c144-5780-4a6e-8de5-b9bbf9d4fb4e", "metadata": {}, "source": [ "### 1.1 CUrrent BAsed (CUBA) leaky integrate and fire (LIF) neuron\n", "\n", "A CUBA-LIF neuron is simply the leaky integrator dynamics applied to current followed by voltage. For easy usage, CUBA neuron is avaliable as __`slayer.neuron.cuba`__." ] }, { "cell_type": "code", "execution_count": 7, "id": "6e918c1f-5c16-47e2-8ff9-65e8f1858d92", "metadata": {}, "outputs": [], "source": [ "second_order_th = threshold * 5\n", "current = slayer.neuron.dynamics.leaky_integrator.dynamics(input, decay=decay, state=initial_state, w_scale=scale)\n", "voltage = slayer.neuron.dynamics.leaky_integrator.dynamics(current, decay=decay, state=initial_state, w_scale=scale, threshold=second_order_th)" ] }, { "cell_type": "markdown", "id": "26dd9678-fbd7-487d-afd4-1b98d0fcc57d", "metadata": {}, "source": [ "### 1.2 Plot results " ] }, { "cell_type": "code", "execution_count": 8, "id": "82715bde-b1da-4ad4-a309-a63b2849d256", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'time')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(3, 1, figsize=(15, 7))\n", "ax[0].plot(time, input.cpu(), label='weighted spikes')\n", "ax[0].legend(loc='upper right')\n", "\n", "ax[1].plot(time, y.cpu(), label='Leaky integrator dynamics')\n", "ax[1].plot(time, threshold * np.ones_like(time), alpha=0.5, label='threshold')\n", "ax[1].plot(time[sp>0], y[sp>0], '*', label='spike')\n", "ax[1].legend(loc='upper right')\n", "\n", "ax[2].plot(time, current.cpu(), label='CUBA current')\n", "ax[2].plot(time, voltage.cpu(), label='CUBA voltage')\n", "ax[2].plot(time, second_order_th * np.ones_like(time), alpha=0.5, label='threshold')\n", "ax[2].plot(time[voltage>second_order_th], voltage[voltage>second_order_th].cpu(), label='spike')\n", "ax[2].legend(loc='upper right')\n", "\n", "ax[-1].set_xlabel('time')" ] }, { "cell_type": "markdown", "id": "3900faac-b394-4b8c-a691-e879b467fe24", "metadata": { "tags": [] }, "source": [ "## 2. Adaptive Threshold Dynamics\n", "\n", "Adaptive threshold dynamics provides first order threshold adaptation and refractory state adaptation dynamics. \n", "\n", "_threshold dynamics_: $\\vartheta[t] = (1-\\alpha_{\\vartheta})\\,(\\vartheta[t-1] - \\vartheta_0) + \\vartheta_0$\n", "\n", "_refractory dynamics_: $r[t] = (1-\\alpha_r)\\,r[t-1]$\n", "\n", "_spike dynamics_: $s[t] = (x[t] - r[t]) \\geq \\vartheta[t]$\n", "\n", "_post spike dynamics_: $r[t] = r[t] + 2\\,\\vartheta[t]$ and\n", "$\\vartheta[t] = \\vartheta[t] + \\vartheta_{\\text{step}}$" ] }, { "cell_type": "markdown", "id": "a2c60abc-35c1-41f5-a2d9-e1f33dfe4bdc", "metadata": {}, "source": [ "### 2.1 Adaptive Leaky Integrator and Fire Neuron\n", "\n", "When coupled with a second order leaky integrator, it results in second order adaptive leaky integartor neuron. For easy usage, ALIF neuron is avaliable as __`slayer.neuron.alif`__." ] }, { "cell_type": "code", "execution_count": 9, "id": "007725d9-2d99-4773-87ce-c443f7ab6a80", "metadata": {}, "outputs": [], "source": [ "current = slayer.neuron.dynamics.leaky_integrator.dynamics(input, decay=decay, state=initial_state, w_scale=scale)\n", "voltage = slayer.neuron.dynamics.leaky_integrator.dynamics(current, decay=decay, state=initial_state, w_scale=scale)\n", "th, ref = slayer.neuron.dynamics.adaptive_threshold.dynamics(\n", " voltage, # dynamics state\n", " ref_state=initial_state, # previous refractory state\n", " ref_decay=0.5*decay, # refractory decay\n", " th_state=initial_state + second_order_th, # previous threshold state\n", " th_decay=decay, # threshold decay\n", " th_scale=0.5*second_order_th, # threshold step\n", " th0=second_order_th, # threshold stable state\n", " w_scale=scale # fixed precision scaling\n", " )" ] }, { "cell_type": "markdown", "id": "572adbff-cde4-4309-806b-53dd52cc241b", "metadata": {}, "source": [ "### 2.2 Plot results " ] }, { "cell_type": "code", "execution_count": 10, "id": "e750b484-3776-4ed2-81db-6e223fe63634", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'time')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(2, 1, figsize=(15, 4.5))\n", "ax[0].plot(time, input.cpu(), label='weighted spikes')\n", "ax[0].legend(loc='upper right')\n", "\n", "ax[1].plot(time, current.cpu(), label='ALIF current')\n", "ax[1].plot(time, voltage.cpu(), label='ALIF voltage')\n", "ax[1].plot(time, ref.cpu(), label='refractory dynamics')\n", "ax[1].plot(time, th.cpu(), alpha=0.5, label='threshold')\n", "ax[1].plot(time[(voltage-ref)>th], voltage[(voltage-ref)>th], '*', label='spike')\n", "ax[1].legend(loc='upper right')\n", "\n", "ax[-1].set_xlabel('time')" ] }, { "cell_type": "markdown", "id": "abb2c22a-ad79-4479-aa38-291855d04405", "metadata": { "tags": [] }, "source": [ "## 3. Resonator\n", "\n", "Resonator is first order complex leaky dynamics. The leak is, in general, complex and gives rise to oscillatory dynamics.\n", "The resonator dynamics is described by\n", "$$\n", "\\frac{\\text dz}{\\text dt} = (-\\lambda + i\\omega)\\,z + \\zeta\n", "$$\n", "where $\\zeta \\in \\mathbb{R}^n$ is the complex input to the system, $\\lambda, \\omega \\in R^+$. \n", "\n", "**Discretization**\n", "\n", "The impulse response of resonator is \n", "$$ h(t) = e^{-\\lambda t}\\,e^{i\\omega t}\\,\\mathcal H(t) $$\n", "The coresponding discrete system has the impulse respnse\n", "$$ h[n] = e^{-\\lambda n \\Delta t}\\,e^{i\\omega n \\Delta t}\\,\\mathcal H[n] = (e^{-\\lambda \\Delta t}\\,e^{i\\omega \\Delta t})^n\\,\\mathcal H[n] = e^{-\\lambda \\Delta t}\\,e^{i\\omega \\Delta t} h[n-1],\\ h[0]=1$$\n", "\n", "The equivalent discrete system is therefore\n", "$$z[n + 1] = e^{-\\lambda \\Delta t}\\,e^{i\\omega \\Delta t}\\,z[n] + \\zeta[n]$$\n", "\n", "The complex decay can be decoupled as\n", "\n", "_magnitude leak_: $\\alpha = 1 - e^{-\\lambda \\Delta t}$\n", "\n", "_phase shift_: $\\phi = e^{i\\omega \\Delta t}$\n", "\n", "_decay matrix_: $(1-\\alpha)\\begin{bmatrix} \\cos\\phi &-\\sin\\phi \\\\ \\sin\\phi &\\cos\\phi\\end{bmatrix}$" ] }, { "cell_type": "markdown", "id": "2800a4c2-63c4-4e6c-93db-d3ec735e2c16", "metadata": {}, "source": [ "### 3.1 Resonate and Fire (RF) neuron\n", "\n", "A resonate and fire neuron spikes when it's internal state crosses the real axis in the positive real half plane greater than the neuron's theshold, $\\vartheta$. Formally, it can be stated as follows.\n", "$$\n", "f_s(z) = \\mathcal{H}(\\mathfrak{Re}(z) - \\vartheta)\\,\\delta(\\mathfrak{Im}(z))\n", "$$\n", "or equivalently\n", "$$\n", "f_s(z) = \\mathcal{H}(|z| - \\vartheta)\\,\\delta(\\arg(z))\n", "$$\n", "\n", "For easy usage, RF neuron is avaliable as __`slayer.neuron.rf`__." ] }, { "cell_type": "code", "execution_count": 11, "id": "73b8d267-8344-4c3f-a80b-d5ed73636566", "metadata": {}, "outputs": [], "source": [ "re_input = input\n", "im_input = 2*torch.randn_like(re_input) * (re_input > 0)\n", "alpha = torch.FloatTensor([0.03 * scale]).to(device)\n", "phi = 2 * np.pi /25\n", "sin_decay = (scale-alpha) * np.sin(phi)\n", "cos_decay = (scale-alpha) * np.cos(phi)\n", "re, im = slayer.neuron.dynamics.resonator.dynamics(\n", " re_input, im_input, \n", " sin_decay, cos_decay, \n", " real_state=initial_state, \n", " imag_state=initial_state, \n", " w_scale=scale,\n", " )\n" ] }, { "cell_type": "markdown", "id": "362ca7c9-a0f0-4e48-a7e1-7692d52bfc81", "metadata": {}, "source": [ "#### 3.1.1 Complex spike\n", "\n", "Fully backpropagable complex spike mechanism supporting phase spiking mechanism of RF neuron is avalilable as `slayer.spike.complex.Spike`. It supports binary as well as graded spikes.\n", "\n", "_spike dynamics_: $|z[t]| \\geq \\vartheta$ and $\\arg(z[t]) = 0$" ] }, { "cell_type": "code", "execution_count": 12, "id": "abdd6a27-2b0c-4778-980c-a233662be09f", "metadata": {}, "outputs": [], "source": [ "sp = slayer.spike.complex.Spike.apply(\n", " re, im, \n", " threshold,\n", " 1, # tau_rho: gradient relaxation constant \n", " 1, # scale_rho: gradient scale constant\n", " False, # graded_spike: graded or binary spike \n", " 0, # voltage_last: voltage at t=-1\n", " 1, # scale: graded spike scale \n", " )" ] }, { "cell_type": "markdown", "id": "ba56a802-4dce-4862-8622-694490a7306b", "metadata": {}, "source": [ "### 3.2 Izhikevich Resonate and Fire (RF-Iz) neuron\n", "\n", "RF-Izhikevich[1] neuron dynamics is same as the basic RF neuron. However the firing and reset mechanism is different. The neuron fires when the imaginary state is above threshold and the real state is reset to zero post spike.\n", "\n", "_spike dynamics_: $\\mathfrak{Im}(z[t]) \\geq \\vartheta$\n", "\n", "_post spike dynamics_: $\\mathfrak{Re}(z[t]) = 0$\n", "\n", "For easy usage, RF-Izhikevich neuron is avaliable as __`slayer.neuron.rf_iz`__.\n", "\n", "[1] [_Eugene M. Izhikevich_ Resonate and Fire Neurons.](https://www.izhikevich.org/publications/resfire.pdf)" ] }, { "cell_type": "code", "execution_count": 13, "id": "0c96c389-4e7b-4cc3-b9c4-5aeb6786a1ce", "metadata": {}, "outputs": [], "source": [ "iz_re, iz_im = slayer.neuron.dynamics.resonator.dynamics(\n", " re_input, im_input, \n", " sin_decay, cos_decay, \n", " real_state=initial_state, \n", " imag_state=initial_state, \n", " w_scale=scale,\n", " threshold=threshold,\n", " )" ] }, { "cell_type": "markdown", "id": "8341e20c-aa80-4192-8604-7119e22d8751", "metadata": {}, "source": [ "### 3.3 Second Order RF neuron\n", "\n", "Two resonator dynamics can be cascaded to produce Gammatone like second order resonator dynamics. In theory, it could also be combined with leaky integrator for even more exotic neuron model." ] }, { "cell_type": "code", "execution_count": 14, "id": "1ad18212-7fe2-4f26-b030-2615f03785cc", "metadata": {}, "outputs": [], "source": [ "second_order_th = threshold * 15\n", "re_0, im_0 = slayer.neuron.dynamics.resonator.dynamics(\n", " re_input, im_input, \n", " sin_decay, cos_decay, \n", " real_state=initial_state, \n", " imag_state=initial_state, \n", " w_scale=scale,\n", " )\n", "re_1, im_1 = slayer.neuron.dynamics.resonator.dynamics(\n", " re_0, im_0, \n", " sin_decay, cos_decay, \n", " real_state=initial_state, \n", " imag_state=initial_state, \n", " w_scale=scale,\n", " )\n", "sp_1 = slayer.spike.complex.Spike.apply(re_1, im_1, second_order_th, 1, 1, False, 0, 1)" ] }, { "cell_type": "markdown", "id": "62b8a17a-535b-4eb4-bb40-fd85903e3cd7", "metadata": {}, "source": [ "### 3.4 Plot results " ] }, { "cell_type": "code", "execution_count": 15, "id": "b862ba62-22bb-4292-a0b6-0f32dba64757", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'time')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(4, 1, figsize=(15, 9))\n", "ax[0].plot(time, re_input.cpu(), label='real weighted spikes')\n", "ax[0].plot(time, im_input.cpu(), label='imag weighted spikes')\n", "ax[0].legend(loc='upper right')\n", "\n", "ax[1].plot(time, re.cpu(), label='RF real state')\n", "ax[1].plot(time, im.cpu(), label='RF imag state')\n", "ax[1].plot(time, threshold * np.ones_like(time), alpha=0.5, label='threshold')\n", "ax[1].plot(time[sp>0], re[sp>0], '*', label='spike')\n", "ax[1].legend(loc='upper right')\n", "\n", "ax[2].plot(time, iz_re.cpu(), label='RF Izhikevich real state')\n", "ax[2].plot(time, iz_im.cpu(), label='RF Izhikevich imag state')\n", "ax[2].plot(time, threshold * np.ones_like(time), alpha=0.5, label='threshold')\n", "ax[2].plot(time[iz_im > threshold], iz_im[iz_im > threshold], '*', label='spike')\n", "ax[2].legend(loc='upper right')\n", "\n", "ax[3].plot(time, re_1.cpu(), label='RF-Or2 real state')\n", "ax[3].plot(time, im_1.cpu(), label='RF-Or2 imag state')\n", "ax[3].plot(time, second_order_th * np.ones_like(time), alpha=0.5, label='threshold')\n", "ax[3].plot(time[sp_1>0], re_1[sp_1>0], '*', label='spike')\n", "ax[3].legend(loc='upper right')\n", "\n", "ax[-1].set_xlabel('time')" ] }, { "cell_type": "code", "execution_count": 16, "id": "9ef801f1-b3d1-48f0-9d25-ef04ba02f1e0", "metadata": {}, "outputs": [], "source": [ "def plot_phase_region(ax, threshold, sin_decay):\n", " xlims = ax.get_xlim()\n", " ylims = ax.get_ylim()\n", " xx = np.array([threshold, threshold+500])\n", " yy = xx * sin_decay\n", " ax.fill_between(xx, yy, color='green', alpha=0.1)\n", " ax.set_xlim(xlims)\n", " ax.set_ylim(ylims)\n", " \n", "def plot_iz_region(ax, threshold):\n", " ylims = ax.get_ylim()\n", " ax.axhspan(threshold, threshold+50, color='green', alpha=0.1)\n", " ax.set_ylim(ylims)" ] }, { "cell_type": "code", "execution_count": 17, "id": "030aaf84-d483-4277-9205-0fca1da08a7e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'RF-Or2')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FoV2P1cWjS4ePiWthniiuVPHFjkRd/pWAPoHOlFWric0qBaCrtwPdfRxJyq8gMa+cMpNcMTtLC8I87Y1GV5iHPZ087Qh0tWtWIn25Uk12STW5pdXklFWTU6o0Gms5Js+p1Lrk/QBXG2b0C2B6fz/8XVp3Le+My+PuHw7Veu6vh4bWmwZztXHFG2OSJAUAPwJegAC+EUJ80th7roVB1lpySqv5emcSvx5KRanWMqWXDw+P6URX76svGVKrFWw/l8vXO5M4lFKIs62CuwYFcdeQYNztrTr69JrNlWCM/ZfHRGtQqjUcSytmZXQGK6MzGt3WIOcS6mFHmIc9oR52hLjbEephj4+j9SXpKkWnFvLMihMk5Vdwa1QAL0zuhkM75c6oNVqmfb6XwgoVW54aif0lhpwao7VjQpIka2AXYIUur3mlEOJVSZJCgOWAGxAN3CmEUDW8p6t7TFSpNCzZl8yXOxIpV6rpH+iCWis4nl5cZ1tPByu9oWVPmIcdnTwdCPO0w9vRut29SkIIiipr2BmXy4ojGexLLECSYEiYGzP6+zOxhw82li33+m45k8O9P1743/UNdOaL2/vh42TTlqd/WbkajDEfwEcIcVSSJAd0A+1GIcSZht5zNQ+y1qLRCt7beJYle1LQCMENfXx5aHQnwq6RCsXo1CK+3pnI5tgcLC1k3BoVyMJJXa8K3TKzMXb1sOCXaNadzG7w9VB3O/oEOBPqoTO2Qj3sCHaza9frsLpGw6LNcXy3OwlvR2t+uW8QIe527XKs6NQipn+5j/tHhPL85G7tcgy4JGNMAuyEEOWSJCmAPcBjwJPAaiHEckmSvgJihBBfNravq3FMqDVa/jiSwSdb48gpVRLh74SVwsKY/G7A29Gau4cEMyvSH7craOGaUVTJqujzrDyaTnphFfZWcq7v7cPMSH/6Bbq0yDhUqbV8vj2BT7fGG5+bNyyEJ8eFX3LuWkdwxRtjFyNJ0l/A50KIzQ1tczUOskuhSqXhkd+OsSU2h+n9/Hnsus4EurVvSKOjSMgt59tdSfwRnU6EvzPf3hWJh8OVc7OpD7MxduVTXKmiz/9q31JC3O2YPSCAvoEuhHrY4WZn2aH5KUfTipi39DDOtpasfnAILnaW7XKc51aeYNXRDNY9Npxwr/YJV7bFmJAkyRadMfYgsBbwFkKoJUkaDLwmhJjQ2PuvpjEhhGDDqWze33SOpLwKuno74GZvyd6EglrbRQQ4M29YCJN6el/RebZareBQSiErjmSw7mQWVTUaQj3smNHfn5v7+uPt1Pwiktyyah5ffpx9iRe+i/em92ZGf/+rSu3/qjLGJEkKRuei7imEKL3otfnAfIDAwMD+qampl/8EO4DCChXzlh3meHoxr0/rwV2Dgzv6lC4LG05l8/jvx3Czs2LJnAHtNmm0BWZj7Mpma2wO85Zd+G7OvjHxivW4Hkkp5LbvDhLh78RP8wa2y3kWVqgY8+EOung5sHz+oHYxQC9lTEiSZIEuQtIJWAy8DxwQQnTSvx4ArBdC9GxsP1fLmNifWMA7G84Sk15MsJst/i627EmorQk3pZcPc4cFt9i7dCVQrlSz7mQWK49kcCilEJkEwzt7MDPSn7HdvJp9jR9PL+bGxXtrPbd8/iAGhbq1x2m3OVeNMSZJkj2wE/g/IcTqxra9WgbZpZJaUME9Sw6TWVzFJ7P7MrGnd0ef0mXlREYx85YdoVql4Ys7+jG885WpHm42xq5c5v94hE1ndDIA9wwJ5rVpPTr4jJrmn5hMHvntGNMifPlkdp92mXx/PZjGC3+e5ONb+nBjX782338becacgT+Bl4GlzTHGrqZF+5nMUt7dcJadcXl4O1oT6mFXy/sDurZCdw8JbnVC/JVGSn4Fq45msCo6g8ySapxsFNzYx5fHx4Y3yxOs1QpWHc3gmZUnjM/1C3Rm0aw+BLdTaL+tuCqMMX1uwL/ARiHEoqa2/y9MPDHpxcxbdhi1VvD93ZH0D7rypCouB+eLq5i39DDxueW8eWNPbo0K7OhTqoPZGLvyKK2uofdrF6Q+Vj04hP5BdTtIXKks3p7A+xvP8ciYTjw1vkub71+rFdz05T7OF1Wx7emRbS642VZjQpKkV4Aq4DmukTBlpUrNS2tO8eex8zhaKwj1sONYWnGtbV6d2p2ZkQHtWmRxMTUaLZVKDRUqNZUqNeVKDZVKNRUqjf6x2uR1jVEnrJuPIxH+TnT1dmx2uyONVrA/sYAV0emsO5mFq50li2b1YWgn92a9v6y6hg83xRlV/gHuHhzEk+O64GR7ZYrHXvHGmD5hcxlQKIR4vDnvuVIHWVux/WwuC345ipu9JcvmRl0zSfqtpay6hod/PcbOuDzmjwhl4cSuV1SugNkYu7K4uDz+Sg5LNoQQgoWrTvL7kXTen9GbmZEBbX6MkxklTFu8h7sHt73H8BIS+D2AGiFEsSRJNsAm4F3gbmCVSQL/CSHEF43t60ocEyWVNcxZeojj6cVc39uXv2Mya73+1R39GdfdC4t2vr8VVqjYGpvD5jM5RKcWUaZUGyUqmoO1Qoa9lZwajaCkSte2y9JCRjcfB3r7O9Pb34mIAGfCPOyb/CynM0t49LdjJOVXMH9EKE+N69Jsoy4pr5zHlh/n5PkS43OvT+vBbQMDr7icuqvBGBsG7AZOAoar4QUhxLqG3nMlDrK24vfDabzw5ym6+Tjwwz0DzE229ag1Wl7/5ww/HUhlQg8vPr6lb6tKptsDszF25fDMihhW6KUqbo0K5O2be3XwGbWeGo2We5Yc4mBSIT/OjWJIM70GLeHlNaf45WAq/zwyjB6+Tm2230swxnqjW5xbADLgDyHE/yRJCkUnbeEKHAPuEEI03P2aK29M5JZWc9cPh0jKq+Dmfn4sP5xufG31giH19v5tS1ILKth8JodNp3M4klqIVujU+od1csfV3hI7Szm2lhbYW8mxtZJjZ2mBnZVc97yV/nlLC2wt5UYDSwhBRlEVMRnFnMgoISa9mFPnS6jQC8baWVrQw8+JCH8nevs7E+HvTICrTZ3Qe5VKwxtrz/DrwTR6+Tnxyew+LeplvP1sLnOWHjY+7urtwNI5US0qFGhvrnhjrDVcaYOsLRBC8NGWeD7dGs+IcA++uL3fZXVRXw0IIfhhbwpvrj1DLz8nvrsrEk/Hjh9sZmPsymDJ3mRe/0eniPP7/EEMvEoSexujpKqGGV/uI7u0mj8XDKGTZ9sWspRU1jDmwx0Eudmy8oEhbeZxNo+J2qQVVHLH9wfJL1fS09eJQyk6qYpbIgN4d0bvdjmmVis4cb6EzWey2Xwmh7icckBnqIzv7sW47t709HNs85xEjVaQlFdOTEYJJzKKickoITazFJVG52txsVXQy9+ZQaGu3B4VVCusuPF0Ns+tOoGyRsvr03owM9K/2eenUmt59e9T/HZIZ+QGudnyy70Dr5h8O7MxdhVQo9HywuqTrIjOYGZ/f966udcV52K9kth8JodHfzuGi62CH+YM6HDBW/PE0/Ek5JYxdtEuAHY9M/qakn5JL6zkpi/2Ya2Q8eeCoW0u9bIyOoOnV8Tw3vTezBrQNuFQ85i4wNnsUu78/hAlVTXYKCyMYb2XpnTj3uGhbXospVrDvsQCNp/JYWtsDjmlSixkElHBrozr7sW47l4EuF7+saFSa4nLKdN50NJLiMko5mx2GfZWcu4eEsS8YaG46hP4s0uqefIPnZTF5F7evH1T72bngWm1ghfXnOK3Q7r2Sn7ONvxy78ArIrnfbIxd4VQo1Sz45Sg74/J49LrOPDG281VXutwRnDpfwrxlh6lQavj8tr6M6uLZYedinng6FpVaS/hL6wF4d3ovbhlw5RV5XCox6cXc8s1+ung7svy+QW0aohdCMOvr/STmVbD9qVFtkgBtHhM6olMLmbPkMKUmbYoAPr+tL9f39m2z4xxOKWTp3hR2nMulQqXBztKCkV08GNfdi9FdPHG2bR/NukshNquUz7cnsO5kFjYKC+4cFMS9w0PxcLBCqxV8szuJDzaew8PBio9u6dNsCYuLDTJPByt+vW9gm3uVW4rZGLuCKVequfWbA5zJKuX/buzJ7CukUlCl1lJcpaKksoaiyhrKlTWEedgT6Gp7RRmKWSVVzFt6hLPZpbx+Q0/uHBTUIedhnng6luCFawFdifvqBUM7+Gzajw2nsnnwl2gm9vBm8W392rSI5URGMdM+38sbN7bNODKPCV0hyQM/RVNVU7vh9o9zoxgR3jYyPYUVKt5eF8uK6Azc7S0Z192b8d29GBzmdtUUrcTnlPH59gT+icnEUi7j9oFB3D8iFE9Ha05kFPPY8uOkFFSwYFQYj48Nb1bUSKsVvPTXKX49qDPI3Ows+fnegXTz6bgoitkYu4J5fvUJfj+czjd3RjK2u9dlO25SXjnrT2WTXVJNcVUNxZUqiipVFFXUUFJVYyxZvhgPByv6B7oQGexC/yAXevg6Nbvqpb2oUKp59LdjbD2by7xhIbwwuVu7VyJdjHni6TheWnOSnw/obrgp70zp4LNpf77bncSba2N5YXJX5o8Ia7P9CiEY99EuXO0s+eP+wZe8v//6mPj3RCaPLz+OWlt7jm0riRWtVrAiOp2315+lvFrNfSNCeXRM50vymGq1gvSiSpRqLWqNQKMVqLVa/W9h/K3WaGs9FkLQydOert6Ol3TvTcorZ/H2RNYcP4+FTOLWAQE8MCoMR2sFr/9zmj+OZBAR4Myns/sQ5NZ02PFig8zZVsGPc6Po7e/c6nO8FBobE+bs8A5k+7lcfjuUzv0jQy+LIVapUrPuZDZ/HE43Jo862ypwsbXEyUaBh70V4Z4OOOmfc7FV4GxribOtAltLC85klRGdUsiR1CI2nNb19rNWyOjt70xkkN5AC3S97BovdlZyvrkrkjf+PcP3e5Kxkst4dmLXy3oO7YEkST8A1wO5TSmN/1fZl5BvNMRiXhnfLscQQqAVoBW6yUcrBNZyiw6TVpk3LITd8fks3p7I7KjANtMHkySJaRG+fLQljqySqqu6IXNHYxDUNcXBWs7KB4bQxfvSQ2Vns0t56c9THEktIirYlTdv6tnqDiW5pdXsjs9nV3wee+LzKahotPd6ozhYy4kMcmFAiCtRwa708nfCSt584zDUw54PZ0Xw2HWd+WJHAr8cTOO3Q+nMiPTnkTGdGRnuyfOrTzD5k928fkNPZvT3b3R/MpnEmzfobp2/HkyjuLKG2789yNK5A6443U6zZ6yDKKmsYfzHO3GyUfD3w8PazZ0shCAmo4TfD6fzT0wm5Uo1Ie52zIz0Z3o/f7xaWYmYU1rNkZQijqQWEp1axOnMUjT6FWBnT3tmRvpz95DgFg3EtmDhqhP8fiSd3+cPJirk8g229vACSJI0AigHfmyOMXa1j4mWUlJVQ8TrOlHXX+4d2GyxyMbIKa3mr+PnWX30PAm55WiEoL5bpLu9Fdf39mFqhC/9Ap0ve+j+ZEYJUz/fw2PXdeaJceFttt/k/ApGf7CjTRLL/4ueMSEEX+5M5L0N52o9H+iqq+q71MT5SpWaT7bE8/2eZBys5bwwuRsz+je/2hB0TekPJReyOz6P3fH5nM0uA8Dd3pJhndwZGOqGg7UcuUxCLpNhYSEhl0lYGB7LdI/lFhceCyE4nVnKweRCDqcUkpCrq9q0ksvoE+BMVIgrA4Jd6Rfk0iKFgIyiSr7ckciKIxloheDmfn7c2NePj7fEcyi5kJev7868YSFN7kerFbz81yl+0XvIbC0t+P7uAQwOu7zV1uYw5RXIE78f55+YTP5cMJRe/m2n7WOgsELF6qMZrDiSwbmcMqwVMib38uGWyACiQlzbfPKoVKk5nl5MdEoRuxPyOZRcSKCrLc9P6srEnt6XbbKqUKqZ/Olu1BrB+seHt7mqeEO018Sj79X6r9kYq4shT+z2gYH8302t1xKrUmnYdCabVUfPsyc+D63Q5Z4NDHVDIZOQJN1EJJN0K20JiRMZxWw9m4tKrcXfxYapEb5M7e1LNx+Hy3atP/BTNHsS8tn97Og2bSg+9bM9SBL8/fCwS9rPf80YE0Lw9vqzfLMrqdbzXb0d+HFe1CXrRW4+k8Nrf5/mfHEVswcE8NzErs36vwshOJtdZjS+DiYXolJrsbSQMSDEheGdPRje2Z1u3o5t5u0tKFdyOKWIwyk64+zU+RK0AixkEj18HRkQ7EpUiCsjwz2a5YjIKqni651J/HYoDbVWcGtUAJnF1ew4l8vSOc3Lv7vYILOSy/jmrkhGtlHuXnMwG2NXGBtOZfHAz0fbfFULOlG/9zacY9OZbGo0ggh/J2YNCGBqhO9lM0wAdsXl8ebaM8TllBMV4srLU7q3i9FZH0fTipj51X5uiPBl0S19LssxzcbY5eWhX46y9mQW0Po8sbwyJR9uOse/J7IoV6rxc7bh5n5+3NzPn5BmlMGXVdew6XQOf8dksichH41Wlzczb1gIswcEtLtRFpdTxoSPdzF/RCjPT+rWZvv9dlcS/7culu1Pj2rW99AQ/yVjTK3RsnD1SVbqxYaNxw9y4fu7B1xS6kZGUSWv/X2GLbE5dPFy4P9u6klkcNNe/4JyJZ9tS2DtySzyynTauOFe9kbja2CI22UTzS5XqjmaqjPODiYXcjy9GJVai5ejFY9e15lZkQHNSsrPLa3m8+0J/Lg/lYgAZ/JKqylXqvnr4WHNulYvNsgsLWR8fltfxve4PD2fzcbYFURBuZLxH+3C28maNQ8NbVMtsQ2nsnhmha556oxIf24ZENCh+ltqjZblh9NZtDmOokoV0/v588yELq0OjbaEjzbH8cnW+DYvH2+IjjLGrqamyG2FVisIfUHXnCPuzUmtKiCJTi1kwS9HKaqs4YYIX27u58/AENdWewYKypWsP5XNyugMjqcXM6WXD29P79XuC6DHlx9jw+lsdj07us06dWSVVDH47W08NS6cR67r3Or9/FeMMaVaw9ylh9mbULvB96guHnx5e/9WGzw1Gi3f70nmky3xADwxrjNzhoY0OWeo1FqW7Uvh063xVNVomNDTm5HhHozo7HHFqNEr1RoOJhXy6dZ4jqQWEexmy5Pju3B9L59mjcFV0RksXH0CmSShVGsJ87Djz4eGNmu8abWCV/4+Zcw1lcskPp7dp8PnCbMxdhkRQvDgz0fZdjaXfx4Z1iaJnKAbfG+vj2XJ3hQiApxZfFvfK0ZxGHQNmxdvS2DJ3hTkFhIPjAzjvuGh7boqq9FomfnVfpLzK9jw+PB2T0Y2e8YuH6/8dYof96cyvLM7P80b2KL3CiFYti+FN9fG4utsw5d39GvTFkBareDrXUl8sOkc/i42LL6tHz392s8jnJJfwXWLdnLnoKA27S0566v9FFWq2PTEiFZ7+P4rxphpNW93H0fOZJUyNcKXD2dGtLrSvLBCxV0/HOTU+VLGdffitWk98HNu/B4mhGDzmRzeWhdLSkElY7p68sLkbnTyvHL7Ggsh2HY2l/c3nuNsdhndfRx5ZmIXRoV7NHndHUgq4P6foo0CumO6evLtXZHNqua82CCTSfD+jAimN1EQcKk0NibMEu+Xkb9jMtlwOpsnx4e3mSGWUVTJzK/3s2RvCnOGBrPi/sFXlCEG4Git4PnJ3dj85AhGhnuwaHMcYz7cwZpj59Fq22cxoLCQ8dEtfajRaHl6RUy7HcfM5efH/Trv3zd3tmyer1SpeWz5cV775wwjwz345+G27cUIupyyB0eFsXz+IJQ1Wm7+Yh8/HUilvRa9we52zOzvz68H0zhfXNVm+53ax5f43HLO5ZS12T6vRaJTC40T+hNjw0kvrGRwqBsf39Kn1YZYSWUNd35/kPiccr66ox/f3hXZpCEWm1XK7d8dZP5P0cgtZCybG8UP9wy4og0x0FXwXtfNi3WPDufjW/pQpqxhzpLD3PL1AY7oK/4bYlCoG6sXDCFI32nDYNQ1B5lM4n/TenLHIJ2up1bAUytijBIYHYHZGLtM5JRW8/KaU/QLdOa+Nmp/sTU2hymf7iEpt5wvb+/Hq1N7dLjmV2MEudnx5R39+X3+INzsLXn89+NM/2ofOaXV7XK8EHc7Xrm+O3sTCvhhb3K7HKM9kSTpN2A/0EWSpAxJkuZ19Dl1NEv1/0c/Z5sWeVaT8sq5cfFe/jmRydPjw/n2rsh2lWAZEOzK2keHMTjMjZfXnOKR345RVl3TLscyhBI/2xrfZvuc3NMbC5nE38cz22yf1xpKtYbpX+4HYFx3L05nlqDSaHn75l6t1toqV6q5e8kh4nLK+PrO/kzs6dPo9vnlSp5ffZIpn+7mTFYp/7uhBxseG35Zk9LbAplM4sa+fmx9chRv3NCDpPwKZny1n3lLDxObVdrg+8I87PlzwVAi9bptX+1MZM2x880+pqlBBvDCnyfZGptzaR+mlVy5M/c1hBCC51adQKXR8sHMiEsWJK3R6MKS85Ydwc/Zhn8eGcakXo0P2iuJgaFu/P3QMD6YGUFcdhmzvzlAdkn7GGS3DAhgbDcv3ttwjrPZDQ/qKxEhxK1CCB8hhEII4S+E+L6jz6mjeU3fBPzPh4Y0+z2ZxVVM/3IfeWVKfpwbxcNjOl8WjTA3eyuW3DOAZyd2Yf2pbKZ+toeskrbzXhnwc7bhtoGBrIjOIDm/ok326WZvxdBO7vxzIrPdvHoNIUlSgCRJ2yVJOiNJ0mlJkh7TP+8qSdJmSZLi9b8vXTn1Evi/tbHGv8d392LTmRyeGBfe6h6IVSpd7tnJ8yV8flu/Rtu7KdUavt6ZyKj3d7DiSDr3DAlh59OjuWtwMPKruKexpVzGnYOD2fXsKJ6Z0IVDKYVM/nQ3jy8/RlpBZb3vcdUr60/upUvCf/z340SnNu5VM2AwyPoFOuNko8DXyZpX/jpNpap+0fP25Or9r11F/HEknR3n8lg4sSuhHpfmNs4uqea2bw/w9c4kbhsYyOoFQ66IBqgtRSaTmNHfnx/nRZFXpuTWb9vHIJMkiXen98LRRsHjy49TfVFbEjNXD9vOXlixNjdZvUaj5eFfj1KjEax8cAjDO19ej4FMJrFgVCd+vXcgeWVKFvxyFJVa2+bHWTA6DIWFxCdb4tpsn9MifEkvrOJ4enGb7bOZqIGnhBDdgUHAQ5IkdQcWAluFEJ2BrfrHHUJcTpkxXP7bfYN4b+M5evg6cm8zNK/qo7pGw/yfjnAkpZCPb+nDhEaq+7bG5jBu0S7eXn+WgSGubHxiBK9M7X7ZxbbbE1tLOQ+N7sTuZ0dz/4gwNpzOZsyHO1i8PaHexYG1woLFt/Xj9oE6L9f0L/eTkNu8ELtMJvHatB6UVtfg4WjN+eIqPtuW0Kafp1nncdmP+B8jvbCS//1zhsGhbtw1OPiS9pVaUMH1n+3mdGYpn8zuw1s39bpqeo81RP8gV5bN1Rlks7/Z3y6eAzd7K96f0Zuz2WV8uKl5OQVmrjzmLtUlYq9/bHiz3/PehrMcTSvmnem9CLvEhdClMDDUjfdnRnAsrZg3155p8/17Olhzz5AQ/orJ5Fx22+R5je/hhaVcxt8xlzdUKYTIEkIc1f9dBsQCfsANwDL9ZsuAGy/rienRagXjP9oFwJPjwllz7DyFFSrend67VV4plVrLQ78cZXd8Pu9O783UiIar+n46kMq8ZUewksv4cW4U398zoNHrurhSRXRqIb8fTuOtdbHMW3qYiR/v4s7vD/LymlN8vyeZrbE5JOSWt8si4VJxtrVk4aSu7HxmNBN6evP+xnO89vfpenOAJUni/27qZTSIxy7a1WyDrLe/M7P6B3D6fAn9Ap35dlcS8Zc5X9LcDqmdef2f0wC8N6P3JYVGqlQa7v8pmhqN4K+HhtK5la0vrkT6B7nw47wo7v7+ELO/OcBv9w3Ct4mE1ZYyuqsndw4K4tvdyYzq4tkmau1mLh+nM0uMfze30e+m09l8uzuZuwYHXZay9aaY3MuHe4eF8N2eZPoFunBjX7823f/9I0L55UAqH22O46s7+1/y/hytFYzu4sHaE1m8NKX7Ze/3CsZq4r7AQcBLCJGlfykbqLeH3EVyL21+Tk/+cdz4d2SQC4s2x3H/yNBWVc2qNVoe/13XV/eNG3syMzKgwW2/35PMG/+e4bquniy+vZ9xIa7VCs4XV5GYV05CbjmJeRUk5pWTmFteq7WRpVxGqLsd/i425JYpWXP8PGXVF8JxMgl8nW0IdrMj2N2WYDc7gtzsiAxyaVNR4dbg5WjNZ7P74uNozXd7kimoUPHhrIh6O7y8dH131FrB0n0pjF20i9ULhtAvsOmI9jMTu7DuZBY1GoGdlZyX1pxi+fxBl03E2WyMtSPni6vYejaXh0d3uqQ2GEIIFq4+wbmcMpbOibqmDDED/QJ1BtldeoNs+fy2N8hemNyNvYn5PPVHDBsfH3FNufWvdaZ8ugeAJfcMaNb26YWVPL0ihl5+Trw4peWCqEq1hvicck6dLyGjqAp/FxvCPO0J87DH9RImpucmdeVERgkLV5+gq49Dm+oAuthZMm94CB9viedkRkmbiCxPi/Bj4+kcDiYXMCTs8i5gJEmyB1YBjwshSk0nRSGEkCSp3mQ2IcQ3wDegk7Zoy3OKzSpljb6o4dCL1zHzq/0Eudny+HUtF+/WagXPrDzBupPZvDSlG3cOCmpw2y93JPLuhrNM7OHNp7f2xVIuI6e0mm93JbH8cDrlygtGlYutgk6e9ozr7kWYhz2d9Netn4tNLYNaCEFRZQ0pBRWkFlSQnF9JdGohh5IL2ZOQX+cchnVyx1Iuo6hSRaVSQ5CbLV19HOnm7UBXH0cCXW3b1WCXySRenNINdwcr3ll/luLKGr66s3+97ZVem9aDwgoVf8dkcvMX+/j+7kiu69Z4/2d3eyseHxfOG/+eYWw3L7bE5rD66Pl2l7swYDbG2pFV0RkIATP7N7zaaQ5L96Xw13FdFdjVViXTEvpeZJD9Nn9QkyXdLcHG0oKPb+nDzV/s44U1J/n81r6XvaegmZaTW3Yhl3B014aTmg0o1Roe+vUoAlh8W79m90fNKa3myx2JHEou5Gx2KQ2pobjYKujl78zDozu1uP+pQq/4PeWzPTzwUzR/PzKsRcKwCbll5JYpGzSM5g0LYem+FD7bFs83d126xNeYrp7YWVrwT0zmZTXGJElSoDPEfhFCrNY/nSNJko8QIkuSJB8g97KdEDrjadInuwH44vZ+fL8nmdSCSn69b2CLNROFELy45iR/HjvP0+PDG+wDKoTgk63xfLwlnmkRviyaFUFmcTVf7Upk5ZEMNEIwpZcPg8PcjIZXcxcLkiThamdJhVLN4eRCdpzL5URGSYPbGwy0QFdbwr3sScwrZ0tsjnGc2CgsCPd2oKuXg3Gh0c3HAWfbtvOqSZJOp9LNzpKFq09y27cH+OGeAbjbW9XZ9uNb+pBTWs3B5ELmLTvCvoVjmlzg3zU4iN8OpRGXU0ZPP0f+b10s13XzbNPP0BBmY6yd0GoFK6LTGRLmRqBb671ih5IL+b+1sYzr7sWCUZ3a8AyvTPoGuvDTvQO58/uDzP5mP8vnD25Tg6y3vzNPjAvn/Y3nGNvNk5v6Xp5Vj5nW86lesmHBqLBmbf/ljkROZJTw1R39mzX2qms0fLc7iS92JFKparrAo6iyhl1xeeyKy2NUFw+emdClRXplno7WLL6tH7d+e4Cn/4jh6zv7N3tR8POBNJbuS+GZCV1YMCqszvscrBXc2MeP5YfTqK7RXHJOqY2lBeO6e7H+VDavT+t5WaRzJN2H+h6IFUIsMnnpb+Bu4B3977/a/WRMmPHVPkBXvRroassjvx3jlsiAFhupQghe/+cMvx1K56HRYTw8pv4uB0II3t94ji92JDKjvz/3Dg/hmZUn+DsmEwtJYkakPw+MCGvV/HK+uIp1J7L492QWMfoCjQh/J56d2IUQNzucbS1xsVPgYmuJk42C3FKl0QA8X1xFZJALX93RnwBXW+JzyonNLuVsVhlns0vZdCab34+kAyBJMK6bF/ePDKV/UMsWLo0xMzIAVztLHvr1KDO/2s+Pc6PqRJ9kMolv7owk4n+bAHh6RQw/zxvYaLqQwkLGq1O7c+f3h5ga4UtsVhnvbjjH2ze3vvdtczEr8LcT+xLzue3bg3x8S59W54bklFYz5dM9OFrLWfNw81o9XCvEpBdzx/cHcbZV8Nt9g9pUyFajFdzy9X7OZZex6ckRbaLO/19RG+8IDA3Bj78yrskVaqVKzZB3tjEg2JVvm/AMCSH490QW76w/W69gai8/J1zsLNFotag1AqVa22Bl4dQIX56d0KVF6Qjf7U7izbWxvDi5G/eNaJ724LazOcZChlujAnnjhh51ksa3n8tlzpLD/DQvqk2qRw3H/OGeSMZ0bTzUY0prx4QkScOA3cBJwJBV/gK6vLE/gEAgFZglhGhUw6CtxsSOc7ncs+QwAGffmMj0L/eRW6ZkyxMjW5zu8MHGc3y+PYF5w0J4aUq3eg1xIQRvro3l+z3J9PJzwtvJms1ncrBRWHD7wEDuHR7a4tZGWSVVrDuZzdoTmRxNKwagp58jU3r5MqWXT7OMuuySar7dncSvB9OoVmuY0N2bh8d0qpUvJ4Qgr0xJbHYZB5IK+PVgGiVVNfQPcmH+iFDGdfNqM2mZ6NRC5iw5jLXCgmVzo+rNJ33t79Ms3ZcCwEtTujXohTRl/o9H2JOQz5iunvx7IqvZeWdN0diYMHvG2ok/DqfjYC1nYs/WNSBVqbU8+HM0lSo1v9038D9liAFEBDjzy70DueO7g8z+5gC/3992HjILmcSHsyIY/cEOftqfyrMTu7bJfs20L80JFayKzqC4sob5TRg3pl4HU3r6OfLp7L6NStDklyt56o8YdsblGZ/7JyaTvQn5/HLvwGYXGBjGdEukI4Z18sDJRkF1jYbfDqWRXVLF57f1w84kb2ZQiBuWchk7z+W1iTFmOOY/MVktMsZaixBiD9DQbH1du5/ARRRXqoyG2K/3DmTpvhROZ5by5e39WmyIxaQX8/n2BGZF+jdoiGm1glf/Ps1PB3TSGSfPl5BaUMGjYzpxz9CQFucsllTW8ObaM6zQNzHv7uPIMxO6MKWXT4tlkbydrHn5+u48NLoTS/Yms3RfChtOZzMy3IM3buhJoJstkiTh6WiNp6M1I8M9eGRMJ/44nM53e5K5/6doQt3tuHd4KDf387tkz23/IFdWPjiEu74/xKyv9/P93QPqpA7MHRrCsv0pCAHvbTzH8M4eTXbAeWlKd8Z+tBOlWou3ozUv/nmKfx4e2q4ableMtIUkST9IkpQrSdKpjj6XS6Wkqob1p7K5oY9vqy+2N/49w9G0Yt6fEXHZEvbVGi1JeeXsjMvjTGYpFcrLL3xnSm9/Z365dxDFlTUsXHWiTcUng9zsGNPVkz+OZFCjufJKus3oKKlsvmq9Riv4fk8yEQHORkXuhvhsW0ItQ8zBSk7iW5P595HhTWoButtbsWxuFCnvTOGZCV2MzxdWqLjt2wO1Kj/rQwjB4u0JPLvqBMM7u/PejN7N+HQ6LOUyJvTwMoZTdsXnc8s3+8k16WJhY2nBwBDXWsbipWAplzG5lzebTmdT1Yww7rWEEIIR720HYGCIK77ONny0OY7x3b1avNDWebvO4G5vycvXd6/XENNoBRM+3mU0xNzsLHluYlf2LhzDk+O7tNgQ23Aqi7Ef7WT1sfPMHxHKtqdGsu6x4Tw0utMl6VO62lny1Pgu7Fs4hmcnduFYWhEzv95HQm55nW1tLeXcMzSEHU+P4rNb+2JnJeeFP08y7N1tfL4tnuJKVT1HaD7hXg6sWjAEDwcr7vj+IJtOZ9d6PdDNlol63TYLSeLx34+jVDd+HQe62TJ/eCibz+RwfW8fYrNKWabXlWsvrhhjDFgKTOzok2gL/onJRKnWMquRMuXGWBmdwU8HUrl/RChTerePsn5yfgX/xGTy2t+nCV64luCFa+n04nrGfLiTu384xORPd9Pj1Y3G1yZ+vItPt8bzT0ymsTHr5aCXvxNPjw9nd3w+609lN/2GFnDbwEDyy5VsOdMx7S/MNM2y/SmA7n/VFFtic0gpqOS+4SGN5mB9syuRRZsviKM+NS6ck69PaFUl2EOjO7H20WHGx0WVNdzw+V5ONpAIrdXq8oXe33iOG/r48v3dA2p5tZrD1AhfypVqfJxs+O6uSJLyKrjpi321dJFGhnsQn1veZv0qp0b4UqHSsO3sZc2Z73C+3JlIqV7+YcmcATy/+iSWFjL+d0PPFhf/bDiVzeGUIp4c1wWHeiIdQgh6vbaReL1B89rU7ux5bgwPjgqrd/vGyC2r5sGfo3ng56N42Fvx10NDeWFytxaJjgshUKm1lFXXUFCuJKukitSCCuJzyjh1voTTmSVYymUsGNWJFQ8MQaOFW77ez5nM+judyC1kTI3w5e+Hh/LrfQPp6efEB5viGPz2Nj7dGn9J/YP9nG1Y+cAQuvk48sDP0azSewENGEKTkcEuxGaV8tHmpluHLRgdhrejNQeSCxgR7sGiTefarVMMXEFhSiHELr2mzFXPH0fS6ertQK9W6M7kllXz0pqTDA51q7XqbiuiU4t4ac2pRvt91cfZ7DLOmohJ3jU4iAWjOrU4b6E13DEoiD+OZPA/fYPnlk5eDTEy3BNfJ2t+PZR2VbWT+i+xeLtOCfv+ZuRUfbc7CT9nG+MquD5+OpDKW+vOGh9vfHxEkyGLpujh68TZNybS9eUNAKi1gtu+PcBP9w6kT4CzcTulWsNTf8Tw74ks5g0L4cXJ3VqVOzM41A03O0v+OZHJ4tv68cf9g5mz9DA3f7mPb+6MZHCYGyPDPXhzbSy74vK4NerStbYGhrjh6WDFvycy222BeKVxLruM9zboRKJ/nBvFPzGZ7E8q4K2berX4vqdUa3h7/Vm6eDkwK7L+oqHZ3xwwFpDEvDK+VdI7QghWHT3PG/+eoapGwzMTujB/RCiKZoTXqms0HNRXVe48l0dSM1prWcpl9PZzon+QC/cOD2HRpjhu/fYAP86NIsLk2jdFkiSGhLkzJMydc9llfLo1nkWb4ziRUcJHt0S02PA04GpnyW/3DeTeZUd4/s+TRAQ4Gxul9w9yoV+gM6kFlcyK9OfrXYmM7uLBwFC3Bvdnaynn+cldeWz5cRaMCuNgUgFv/HuGxbf3a9X5NcUVY4xdK8RmlXIio4RXGnBDN8WyfSko1bpms20VnxZCsCMujzn6vAdT5g4N4YY+vvT2d2rwfPPKlOw4l8u/J7KMoY8f96fy4/5U7K3k/LlgSLuGUuUWMt64sSfTv9zHp1vjeX5yy3Wj6sNCJnHLgEA+2hJHakEFQW5XX1upax2lXhW8qf/NsbQiDqcU8cr13RscN2kFlby85kIWxMoHBl+yIWbAWmFByjtTiHxzM/nlKsqUau7+4RBbnxqJu70VZdU1PPBzNHsTCnh+UlfmjwhttayK3ELGpF7erIo+T6VKTU8/J/5cMIR7lhzmrh8O8v6MCG7o44uvkzU7z7WNMWYhkxgc5saRlKJL3tfVwit/6a6VMV09Gd7ZnWHvbqdfoDOzB7Q84rFsXwpphZX8NC+qzvVpyBE7mKyrRTj9+oRWLTgziip54c9T7IrLIzLIhXem9zYaIw2RVlDJjrhcdpzLY19iPtU1WqzkMgaHuTG5lw/WChmWchmWFjIs5RZYyfWP5TJUai0nMoqJTi1iyd4UVPp0D1WVlhsW7+XGPr68dH33emUnDHTxduDz2/oStd+V//17hpu+2Me3d0US0soQqq2lnI9n92H8R7t4dmUMKx4YYvR43zc8lAd/Ocqj13XmYHIhT/4Rw4bHhzdq/E2L8OXnA6ksP5zOXYN1ouEzz+U22je0tVxVxlh7Kyu3BSuOZKCwkFpVQVmuVPPT/lQm9fRuk36TQgh2x+czd+lh1CYu4IdGh3FTXz86eTZvIvJwsGJmZAAzIwNQqjUcTCpk2b4Utp7NpVypZtxHu+jh68hr03owILjtypdN6R/kwqxIf77fk8yM/v5tZvzdMiCAT7fF89uhdBZOMifyX0m0pD3LD3tTcLCWM6uRifL/1l1oQzR/RCiRDVyriXnl/Hn0PEfTitBoBVohsJTLGBXuyZTePo1qFR16YSyhL6wDdLmjb687y8JJXblnySFdO66ZEW0iInl9b19+PpDGlthcpkX44u9iy6oHhnD/z0d4/PfjnC+uYkS4Tj2/RqNtlmekKYLd7Pg7JhOlWtNs7barldLqGqNx9NZNvTiRUcL54ioeH9vyJvMF5Uo+25rA6C4edQoqVGotz606wZ/HzgOw4oHBrTLENpzK4qk/YhDA69N6cOegoAbPs0ajZdm+FH49lEZSns77FeRmy+wBgYzs4kH/IBcKylWkF1aSXlRJdY0WbycbAlxt8HexxcnmgvFiaN1UXaPhdGYJ0alFrD2ZTUx6MWuOZ7LmeCYPjgrj/hGhDRbgSJLE3UOCCfdy4KFfjzLt8z18dmvfVhs8ng7WvDq1O0/8HsOyfSnM1bdHGt/Dm0BXW349mMqiWX2Y+dU+Xvv7DB/OimhwX5Ik8erUHkz9fA9VNRpCPex45a/TbHrCrc1bEV5Vxlh7Kiu3BUq1hj+PZTC+u3erVLqXH0qjtFrN/SOap6fUGBqt4PnVJ/jjyIXYeXNUiJvCSm7BiHAPRoR7oNEKFm0+x+LtiZzOLGXmV/u5a3BQo96JS+G5iV3ZeDqHl/86xW/3tU2bCm8na8Z09WRldDpPjgu/LDpKZprHn8d01+7YJq5ZrVaw81wuk3v61KvGDbAvIZ+Np3W5gQoLiRfq8a7ujMtj0eY4YtKLkUk6aQsrhQVymYzCihr+b10s/7culqhgV56Z2KXehYdMJrH72dEM1yd9rzqawaqjGdgoLPjurshmidY2hwHBrrqwYUwm0/QTopOtgmVzo3h25Qne33gOF1sFZUo1x9KKWyxOWx8h7nYIoetu0NyF3NXKGr1xZCmX4e1kzZJ9ychlEuO7t7w6/pOt8VTWaOp0gihXqnnw52h2x+vEVG+JDGjVYnZXXB6P/HaMHr5OfHZr30blVXbF5fH6P6dJzKsgKsSVUeGelFXXoBGCM5mlbDydTXZpNY3VSjlay/F3sSXA1YYAF1vGdPVkcJgb/YNc6R/kyvwRYeSVKYl6awtC6HT/ft6fytxhIcwbHtKgMsDgMDf+emgo83+KZs7Swzw3sSv3t9KDfGMfP/6JydLrSXoR6KbrDjB3aDCv/aNblD00uhOfbUtgbDfPRtNUevo5cWtUIL8dSueV67vz6t+n+WJ7Ak+Ob9s0oqvKGLvS2RqbS1FlDTMbyAloDJVay/d7khkU6tpgrL25VKk0jHx/O7llSgBm9Pfn1andWx2LbwgLmcQzE7pyS2Qgj/1+jGNpxfy4P5U98fn8/ciwBifG1uJmb8WzE7vw4p+n+Dsmkxv6tE1vv9sGBrL5TA6bz+T8Z/JhrgYWb9dVOy4Y3fjiJDGvnNJqNZHB9VdQqjVaXjQJT8b+r3adkFarUzn/dFs8wW52vDi5Gzf08cXTsXZeUHJ+Bf/GZLL8cDqzvznAU+PDeWBEWB0PRICrLW/e2JOXTI65bG5UmxhEBixkElN6+/DLwTRKq2uME5yVXNdlIsDFls/1+XbrTma1ybEN3vrk/GvbGBNC8LY+r/DZCV0QQrD+ZDZDO7m3OI8rPqeMXw6mcfvAwFrfWV6ZkrlLDxsrb11sFa3yzB9PL+aBn6MJ87Bn2dyoWl4rU9IKKnlj7Rk2n8nB38WGWyIDyCqtZsm+ZIQAHydrAlxsGRzmRoCLLQGutgS42BDgaouNwoKMoioyinSesoyiKtILK0nKq2DHuTy+25NMiLsdt0YFMKO/TozVw8GKoy+N4+4lhziRUUJljYZPtsazdF8K80eEcs+Q4Ho9gAGutqx6cDDPrDzBO+vPciazlHen925xhwNd0/CejF+0i+dWneDX+wYiSRIzIwNYtDmO73Yn8emtfdlxLo8X/jxJ/yCXOuPdlKfHd2HNsfPE55YxLcKXr3Ylcd+I0DadU68YN4AkSb8B+4EukiRlSJI0r6PPqaX8cSQdHyfrVmn7/BOTSVZJNfePvDSvWGGFim6vbDAaYj/OjeKDma1PimwOgW62rH5wCO9O16kUJ+VX0PPVjWQUVbb5sWYPCKS3vxNvro2lrLptqjpHdPbAz9mGXw+1b+mymZaRVqi7fpoSW4xO1eUx9W9AzmJldAbJ+mTkWZH+tby2VSoNc5Ye5pOt8dzU1491jw7nvhGh9d6YQ9zteOS6zmx4fDiTenrz3oZzzFl6uN7S/NCL0gyOpbV9rtX1vX1RqbVsPl27GliSJJ6e0IW3btKNx6X7UsgpvfQqsGC9KGhKMxK7r2aOphVTVaNLpJ/Qw5vTmaWkFVYyuVfLvWJvrYvF1tKCx667oLKfkl/B9C/3EZ9bxqSeusXfwkldW9yMOyG3jDlLDuFub8WPDRhilSo1H2w8x9iPdrL5TA4KC4kKpZrfj6QTl13Go2M6s2/hGPY/fx1/PDCYRbP68MS4cGb092dgqBu+zja42FnSy9+JSb18mD8ijP/d0JMlc6LY/ORIYl4dz6JZEbjZWfLWurMMemsrj/52jANJBTjbKvj53oH09HPExdaSFQ8Mpn+QC+9vPMfw97bz7a4k1PXICtlayvn81r48M6EL/5zIZMZX+1pVFezjZMOLU7qxP6mA3w7pOgLYWcm5fVAQG09nk1VczUe39KGqRsOzTUgnudpZMiTMjV1x+dwxKAiVWmv0aLYVV4wxJoS4VQjhI4RQCCH8hRDfd/Q5tYSskip2xeUxo79/i0vkhRB8vSuRLl4OjLqE3pNpBZX0e2MzoOsTduK18Yy4TL0sJUmXDH/wheuw0of6hr27vcES/9ZiIZN444ae5Jcrm1We3Nx9zh4QwN6Egmt+orkWiU4twsVW0WDS70qTMneDgWLglb9OsSs+jzdv7MmHMyOatQJ3sFbw2a19efPGnuxPLOChX4+iMcnJ/PdEJncvOVTLIPt4S3ybyUwY6BfojJ+zDf+eyKz39dsGBjJA7y0c/t524kykL1qDs60lzrYKUgqu7THyy0HdoizUw44AV1vWn8rCQiYxroUhyl1xeWw/l8cjYzrhpk9iP5FRzPQv91FWXcNXd/TnQFIB/QKdW9y/OLO4iju/P4SFTMZP86LqXTzsTyzgug938vn2BGP+pVoriAhw5ps7+7PnudE8MS68yX6NjWGtsODmfv6sfHAIGx8fwW0DA9l+LpfZ3xzgukU7OZhUyGtTe5BfruRoahE/3DOA1QuG0MNX1/dx/k86YfOLkSSJh0Z34vu7I0krqGTGl/sorGi5HtktAwIY2smNt9bFkqkff/cMCcZCJvHD3mQ6edrzwuRu7DiXZzTYGmJEuAdphZW42VviYqtoc0mkK8YYu9o5kFSAVsDkVkgk7DiXR1xOOfePbH2F1ZnMUka8r8tT8XSw4vTrE5qt2i+EoKSqhtSCCmLSi3WlzXF5LRLcNODlaM3ZNyYaG5pP/XxPHRG+SyUiwJlbowJZtj+lxRIdDTFrQAAWMonfDqW1yf7MXD6iU4voH+RS79jJKa3miN5zFhnkUssrtuJIOiuiM3hkdCfuGBRU6/2FFSp2x+fxx5F0DiYV1JkIJEnijkFBvHlTT/YmFPDhJp0EwtK9yTzy2zH6Brjw54KhhHroDLKqGg0/6luytBWSJHF9bx92x+dT1MBE9erUHoAuDWL6l/vYl3hpq/lgN7tr2hgrqaxh9VFdvtj0fv4IIVh3MpvBoW4tygPWaAX/tzaWQFdb7h4SDOha5M3+5gA2lhasenAIm87kUFxVw//d1KtFRQGFFSru/P4g5dVqls0dUG+l8Z74fO5ZcogsvS6Wg7Wch0d3Ytczo1k6J4rxPbzr5PUKIdiXmM+d3x806ks29BP55haeW3mC9SezjELAXbwdeG1aDw69MJYPZkagkMm478cjrD2ZxeBQN77amUi5Uk2/QBd+mjeQN2/syY5zudz6zQHyy5X1ftYxXb349b5BFJSreHpFTIu1yCRJ4p2be6PRCl748yRCCLwcrZka4csfR9IpqazhzkFB9A105rvdSY16x0boI157E/IZ3dWTbedy6/XstRZzzlgbkZRXgUzCePNtCV/tTMTXydpYmdJSKlVqJn+6G9DlHux6dnSTg7tcqWbtiUx+P5xOTEZJrZW9KZ097YkMdqF/kCsDQ1yb1XtPkiSW3DOAu5ccYnd8PvN/imbRrAhu7td2TbmfndCFDaeyeXnNKVY8MPiSk/m9HK0Z282TFdEZPDk+/JqvFrtWKKxQkZRfwYwG8jQ3miwEls6NMv6dnF/By3+dYnCoG4+NDTc+H5tVyqRPdte7r1APO765M7KWXMCsyACOpRXxxY5Etsbmci6njHHdvfjs1r5YKyz44/7BRL65BdClIjw3sWub9eUDXajy611JbInNYWY9ItPdfRxxt7ck2M2Okqoa7v7hEO/N6M1NfVs3FoPdbDl8DctbrDp6wYs6sac3Z7PLSM6v4N7hIS3az++H0zmXU8aXt/fDSm5BWXUNT/x+HB8na367bxDni6v47VAac4eGNLt9FkCFUs2cpYdJL6rix7lR9Tao3xWXx10/HDI+7hPg3GBif1l1DV/tTDTmZzaX/HIlvx9JNzYEB3j75l5MjfDF3krOjP7+TI3w4e11Z1myN8W4zdK9ycbG6HcMCsLL0ZpHfjvK9C/3sWxOVL0qAr38nXhxSjde/fs03+9JbnYfVwMBrrY8N7ELr/1zhtVHzzO9vz9zh4aw+uh5Np7OZtaAAG4dEMizq05wLL24wbSIYHc7Al1t2RWXx/R+/qw+ep4jqUUMakSrrCWYPWNtRFJ+BQGuti2exI+lFXEwuZC5w0JaXX5+/0/Rxr+3PTWqwZJbIQTRqUU8uzKGqP/bwnOrTpJTqmRImBs9fB3xcrTC3kpOv0BnJvfyJirYlRqNljXHMnl6RQzD39vOY8uPGd29jSGTSfxwz4U+YU/+EWPM22kLnG0tWTixK0dSi1ilX8leKrcNDKKwQsWm081zP2uFlqqaKvIr2jZ3wAzNXgEfNXq96k9Q/+v4hRCeaUHJV/pWSJ/M7mNMK3h3w9kGDTHQLbjGLtppFKI18NKU7gCcyyljci9vvry9n3EMmmosZZZc8NK1FT18HbGSyxoMQcpkEiM6e5CYV27M2Xni9xg+3xbfqvZiwe52ZJZUUV3Tfm2R6muNJ0mSqyRJmyVJitf/vvSuzRchhDCGKMO97AnzsGf9ySxkki53rCX7Wbw9gcggF2PLpA83xZFbpuTDWX1ws7fipTWn8HSw4olx4U3srfZ+H/3tGCczivn81r71GgE7LzLE7h8ZyooHBtcxxBJyy+j28gZ6vbapliEW6GrLuO5eTOjhxchwD3r4OuLtaI3CoukFxPOrT9Lz1Y3c+f1Btp/LxUpuwWvTevD1nf1xtNaNvQ82xVFqkus7rrvO81VWrebmL/c12Kf1rsFBTOjhxbsbzraol+uF9wcTGeTC6/+cJre0mm4+unGTkKfrdjCplzfWClkd5f6LGRHuzv7EAgaHuWFpIWvTUKXZGGsjkvIq6iTtNocf9qbgaC1ndiuFGf+OyTQmEu56ZnSDSaDlSjWPLT/O9C/38XdMprF0ObOkit3x+ZzOLKWgXIWzrYLTmaWsO5nNoZRCUgoqEQgGh7oxLcKX9aeyGf3BDhZtOtdk70qFhYwl9wzAy1E3IY3+YEeL+kDujMvjtb9PN5ioP6O/PxEBzny6tXUTy8UM7+SOv4sNvx5sOFRZo6mhtLqU86XnSSxMJK0kjRJl2+bFmYFifcstlyaq146mFSGXSfT2r+shyC9XGpP7rzORlMgtq+bPY+eZ0d/fmGvz6l+n+NKkV+W/jwwj5Z0pxp+v7uhvfO39jed44c+TgK4A4LHlx4yvdfdxrBP++feRC+2S/jreNgsHAzKZRKCrLakFDRfLjOziQVFlDakFlSybG8WNfXz5YFMcL/x5ssVhFlN5i3ZkKXVb4y0EtgohOgNb9Y/blEPJhSTqdbcMXRzWncpmYIhbo8KlF5OYp2tDNb2/P5IkEZNezLL9Kdw1KIg+Ac78HXOe05mlvHx99xZVnO+My2Pr2Vyen9SN8fUYh9vP5XK33hCTJH37pkndai3ySyprGPrONsYu2mUsUhgZ7sGnt/ZlRn9/iipUbD6Tw6HkQoorVXg5WjMi3J17h4fy8vXdeefmXjw4Koyx3bwIcrOlvoDE7vh85iw5zP0/HSGvTMmEHt6se2y4MZe492ubahnz/QJdWPXgEOyt5Mz+Zj9bY+saOJIk8d70CLwcrXn416Mtbsknk0m8N6M3SrWWl9acQibpruVEfespB2sFE3t4809MZqMLjZHhnlSoNMRmlTGkkxubY3ParGeyOUzZBmi1guT8cga30F0phGBvQj7junu3SgairLqGR3/TTQTL5w8i0K3+EOLZ7FIW/HKUpLwKQtztqFJpyC6tprOnPVN6+xDu5UBnT3uC3e1QWMjQagV55UrSCitJK6hkb2I+/8RkotEK+gQ4U1RZw6fbElh+OJ3nJnbl5n5+DYYJ7azkrH10uDFU8/jy481uJxGfU8bSfSnsOJfL4tv71XHJy2QStw4IYOHqk5zOLKVnK9pP1dlfVCDvbzxHUl45oR72aIUWpVpJZU0lJcoSajQ1SEgoLBTYKmzbROvMTF1yy3S5Lp4OjbedyS9X4uFgVa83+KiJF8pUHuOn/anUaLXMG6YLd+yKyzM2AZ7R358PZkaQV6Zk4+lsNFpBT18nJvb0JvntyUz5dA9nskr59WAa/i42bI3N5WhaEW/c0IOtZ3NZsjeFe4eH1jof0+tyZXQGr07t0aZ6dkFudo0aY0PC3AE4nFJIRIAzH93SB3+99EVmcTWLb+/X7PtPsJtB3qKi3bpuNNAa7wZglP7vZcAO4Lm2PO6vJvmiE3v6EJ9TRkJuOXcPDmrRfvboF8fDOrmj1mh5fvVJPB2seErf3m79yWx8nayZ0oL8Yq1W8O6Gc7Vy0EzZfjaXOUt1HVa6ejuwdE5UrZZNWq3g291JvL3+QiuwR8Z0QqXWsuroeXbGHcPBSs7Ent7c0MePwWFuzSpEq67RkJhXTnRqEcv2pRiNWYCNp3PYeDqH96b3ZmakP6den0DnF9cDcNf3h1g+f5AxZB/ibseqB4cwb9lh7vvxCG/f3ItbBtR2UDjZKvjstr7M+mo/C1ed4Ivb+7Xo/hvqYc+T48J5e/1ZNp7OIczTnlPnLyykp/f3Z83xTLbG5jYocTQ4zA25TGJXfB5ju3nx0ppTJOaVt4nUi9kz1gZklVZTXaNtcb5YemEVhRUq+gU5t+q49+jbGw0Idmkwbr3iSDo3Lt5rVFpOzq/A2VbBF7f3Y+PjI3h8bDiTe/nQ2cvBuIKSySS8HK0ZEOzK9P7+LJrVh13Pjua+4aHE55STnF+Bp4MVzrYKnloRw/sbzzW6OnC3t2LlA4MBWHsyy+itaIob+vghl0mkFFRy0xf7+OVgap3jjO/hjYVMYv2prGbtsylmRvojl0ks259IZlkmCYUJpJekU1RdhEKmwMHKAXsre6zkVmZDrB3JLdUl9Ho6Nu6RqFRpsGkgLJ9RdCGc3t8kjLn66HlGd/EkxN0OtUZrDOv4OhmUu48z6O2t3P9TNAt+OcqI97cz6+v9pBZUsu6x4fjoJ7n3NpwjOrWIxbf1487BwTwwMoyCChUr6gl1GPJBlWotexLyWvBNNE2wmy2phRUNhnbd7S2xtJCRp0+SNkhfvH1zL/Yk5DPrq/3Nlr4wGGMdkMTvJYQwDPJs4NLUqy+isELF+pO6/MIgN1u6+Tiw9mQWUgtDlAB7EgoIdNVpdS3dl8KZrFJem9oDR2sF1TUadsfnM7a7V4vuH/+cyCQ2q5SnxtcVpk7KKzcaYoNCXfn3kWG1DLHk/Ap6vrbRaIjdPjCQVQ8OZt3JLL7elUSfAGe+vL0fh18ay/szIxjW2b2WIVZdoyG7pJq4nDIKLkq0t1ZY0MPXibsGB7P5iZEsnTOA4Z3da23z7KoT3PLNAc4XVbHx8REAHEop5NNttavhPRys+O2+QQzr7MELf57iREZxne+hX6ALz0zowvpT2fx8oOVSRPOGheDvYsNvh9II87AnvbDS6AkbEuaOt6N1rbzBi7G3ktM/yIWd5/K4rpvO2775TG6Lz6M+zMZYG5Ckjzu31Bg7lq4zSvq0QuR1x7lco1Hz9Z2R9W6zeHsCz6w8QXWNLhTh7WjNV3f0Z92jw5ncy6dFicQ+TjY8P7kb+54fw9PjwymoUCEhMbqLB1/sSOS9Rgyyg0kFPPDzUePjJ34/TnkTIU7QDc6x3bxQWEj0D3ThxT9P8djy2u91tbNkcKgb605mt9pdLISgWl1NYVUhFeosBoXZsfvoaZx/ux0HVSX2VvbYKmyxkJmT+i8XBp08D4fGjbHqGk2DOZLp9ejcZZdUc764imGddBOG6Q193WPDuXHxXv6OyWTOkGBWLxjCv48MY+GkrsTllHH9Z3vYn1jAMpNCALhQQT0wxJU+Ac58uyupjmFk2ujcNI+tLQhyt6O6Rmv8zi5GkiTc7S3JL6tdcXlrVCDf3R1JakEFNy3e2yzpCydbBS62CpLz2zVM2ShCN9AbHOySJM2XJOmIJElH8vKaZ/iujE439lac2NMbSZJYfzKbAUGujYqBXoxao+VAUgFDO7mTUVTJh5viuK6rpzF3bF9iPlU1mia7SpiiUmv5cFMc3Xwcmdq7dpGXEIJ5y44Aunvh93cPqBUmT8orZ/QHO4wNyJfPH4SDtYKZX+2nSqXhx7lRfHd3JJN6+WCtsCC9sJKvdiZyw+K9xsrJri9vYNDbWxn/0S76v7mF4IVr6fbyBl77+zT/xGQadfZkMolRXTz5ad5ANj0xgltMCkoOJRcy6oMdpBRUcL3e6/Txlng2X5RzZWcl57PZfXG3t+SpP2LqDRneNzyUUV08eGNtrFE0t7nILWRc39uXvQn5uNoq0AqMXmULmcRN/fzYGZdHXgNjCXQSF2eySpHLZPTyc2LzmYbVAoQQqDQqylXlZJc1ripgNsbaAIPXKcyj8aasF3MsrRgbhQVdWuHuf1Bv3Dw4Kqzekusd53L5YNM5ZJLuIuvsac/qBUOY2NP7kqq5HKwVPDymM0vnDCCzpIqT50vo6efIlzsSeXdDbYNMCMF3u5O47buDOFrL2fTECFY8MJiMokpe//t0s45368BAajSC2VEBPDOhC/+eyGTaZ3tqSVpM6uVNcn4F51qgo6TWqilXlZNVlkVCYQKpxakUVhViIbNgRqQXc9SrsMk8hsOBL5v/5ZhpM5obpqyq0WDbgDZYfZpxR9NqC8QaWqPMHRrC0ytOkFZYyUe39OG7Pcnc/MU+rv9sD3sT8vlzwVC8nay59dsDjP9oV619pulv5pIkcWtUAGmFlSTqF2gGTEOVh/Q9D9uKIH1ydmPeKjd7Kwoq6k4wo7t48vv9g1FrhU76IqHpYpRgdztSL79nLEeSJB8A/e8G3RFCiG+EEJFCiEgPj6Z1FrVaUUtjamIPbxJyyzmXU8akFgq9xmSUUK5UM6yTO6/+pbvHvX5DD6MXbPOZXOyt5AwMbX5HhOWH00grrOTZiV3q3LvXHD9vLIz6c8GQWqr2iXnljPlwJ6Br67RkzgBeXnOKr3YmMrN/ABueGMGIcA9yS6v5fFs8vV7dyPD3tvPO+rPENJEkX1WjYem+FB757Rh9/reZcYt21tLRC/dy4N0Zvfnl3oG13mdabOZub8kTvx8nIbf2WHGyVfDu9N7E55bz0Za4OseWySQ+nBmBi62Ch3891mTu8sVMjfBBrRXE649rOlan9/NDoxWN5nYaZJt2x+cxrrsXx9KLjcabEAKlWklpdakxspJclExmaSaV6sYXMGZjrA1IyivHztICzyZW8RdzPL2YXv5OLe7jmJRXbky+XDCqrmJ/emEljy0/jhCgFdA/0IWVDwy5JHG/ixne2YM/FwzB1lJOXE45rnaWfLUzkXfWn0UIQblSzcO/HuPNtbGM7ebJXw8PJdzLgQHBriwY1YkV0RlsONW0/tjwTu74Odvwx5F0HhrdiV/vG0S5Us2Ni/fy++E0hBCM7+6NTIJ1JxoOVRq8X0VVRaQUpZBYqAtDVqmrsFXY4mDlgK3CloBPI7nxz4HcKd+ChMA+Zjm+H3bD5+M+bfbdmWkaY5iyiTFVpdI0KNQaoxccNvWuRacWYa2Q0d3XsZZ22LjuXmyJzeHGPn7GPEwDu+PzGf3Bjlo5PrufHW38++tdFxL/o0J06QKHUho2uLJKqo3aTG2BIXSY1kjemJu9JQXl9WuR9fRz4s+HhuLjZM3dSw4Ze4I2drwOEEf+G7hb//fdwF9tteP9SQVGg8bHyZoIf2c26NMeDB6t5rInPh9J0jUa33o2lyfHhePvojOWtVrB1tgcRoZ7NLvqvkKp5tOt8QwMca0jCF6pUvPE7zEALLmntt5YYl451+kNsS5eDvz10FCe+iOG0uoals4ZwLszemMhSdz27QGi3trKB5viKGvCqPF3seHh0Z14aUo3XpzcjftHhuKgN/7ic8sZ+s42It/cwtnsCwvloZ3c2btwTK39/Ku/T798fXesFTLm/3ikVoUlwKgunsweEMC3u5LqTWtxs7fio1l9SM6vYMWRxsVaL6a7jyOh7nac0S/oE02MwU6eDkT4O9USiq7v/W52luyKy+O6bh4IAWtPppBRkkFCYQIpxSnkVOSgVCuNc4u9lT3W8sYXlmZjrA1Iyq8g1MO+RTkASrWGM5ml9G1FiPLZlScAXfz74jZH1TUa7v8p2lhtMrqLBz/Oi2q0p1pBuZINp7L5ZEs8i7cnsOFUFrll1U2G/Tp5OrDmoaFE+DtRVKmim48jX+9K4qU1p7jh8z2sP5XF85O68tUd/Wud52NjO9PZ057PtzetoC8zUcdPLahgUKgbax8dzoBgV55bdZKn/ojBzsqCqBBX1l1k3Km1aipUFWSXZZNQmEBaSRr5lfnIZDLdALHUDRDT/1vOvZuo7DoFlaSbwLVyayq7Xk/OfZubPFczbYdhpdmcnLGGwpQGY8vLZB/ni6oIdLVFYSHjePqFm/zPB1NxtlXUm+9l4JOtF65XpVrDS/rGz78cTDOOlWA3WzwcrDhcj/erq/cFD3hb5lz5Olvrcysb3qe7vVWDwpoAfs42rHhgCJFBrjzxewyfNVKhHOxmR2ZJdbvJWzTQGu8dYJwkSfHAWP3jNuHXg2nGPKwJPXSRg3Uns+kX6IyPU8sWsHsT8gl2s+PjLbqw4pyhwcbXTp4vIbdMydjuzW8W/8OeZPLLVTw3qWud+aX3a5sAXaWwaQN6U0Osu48jP90bxfyfdKHM5fMHYymXMfWzPfR4dSP7EguafS4ZRVV8vj2BN9fG8n/rYtlwKpuZkQEsnTPAGIbPL1cy8ePdzPxqnzFU7+dsw9k3JuLvUvu7PJddxuLb+pFWWMnjy4/XCe2/OKUbPk42PLMipt7Fy5BO7kT4O9Uaf83BIJYck16MpVxWx4s9vb8/Z7PL6g2BarQalJpqBoY6siMuBwvLHDwd5Gw6k4VaqI3Gl52lXYvzis3GWBuQlFfR4nyxM5mlqDTaFueLqTVao1bR0/V0jX9n/Vmjxe9ub8WiWX3qnawqlGoe/Dma4IVr6f/mFh74OZqPtsTx/sZzPPDzUaL+byshz6/j7h8O1dt7z4CrnSVL5kQR4GJLqd4A/OVgGol5Ffw8byD3jwyrc0EqLGTcNTiIU+dL603SvJiZkQHIJFh+WLcC8nCwYtncKJ4YG86fx88z7fO9dPK0JyG3nNOZBRRVFZFanEpiYSIZpRlUqiuxUdhgb2mPnaUdclnDlWNae0+EpT0KoaJaKJDUSrRW9mjtLk9bKVMkSZooSdI5SZISJElq81L+KxlDSM3ZpnHV8+pGwpQGTEOdlTUabCx1//91+oRtZ1sFBxILKKtuOtzx0S0RWMplLD+Uzl2Dg43Pp5iEKqOCXesVRn3ApO9sW3qW5BYyApqQtzB4xhqbtJxsFCybG8VNff34cHMcz68+Wa8UTbC7ztPT2PEuhfpa4wkhCoQQ1wkhOgshxgoh2iTWW1ypYuPpbNz1qR6TenpzvriKM1mlLe6mUqFUczStiOT8CnLLlLx9c69aUY8tsTlYyCRGd2meMVZcqeKbXUmM7+5VR4h0a2wOar3x8t3dF3KGq1Qably81/h4yZwBzF16mPwyFZ/f2pdvdiVx27cHOWlSRRjibseknt642+u+g15+TtwzJJiPb+nD9qdHkfz2ZBLfmszfDw815lqC7v+/dF8y9yw5zPpT2Xx1R3+eHq/TTTucUkToC+uM+b3WCgv2PDeGGf0viA1/sSMRX2dd/8htZ3PZdFH+mIO1gvdm9CYpv4L3N56r9zu6fWAQ8bnlLRYivj7CF63Q5eMlXGSMTe3ti8JCYlX0edRaNZU1lRRUFhgjKmklafQKlFNcqSGr0IIRXZyJTqlEaOWXVNRlNsYukeoaDZklVYS6tyxfzCBc17eJJsgXs0WvweLjZF0nPJNXpqxVnv3WTT3r6I4JIXjt79P0eHUj6008ScM7u/PAyDDuHxlaqxpmZ1weff63mblLDze4Era3kvPBzIhaOQORQS4M6eRe7/YAN/T1w0Zh0aimlwFvJ2vGdPVixZEM4+RgIZN4bGxnfpw7gKJKJT8f0O1n+ZE48ip1SbsOVg44WDlgLbdGJjX/UpdVFpAWNp2bVP8jMfhmLDpA1FWSJAtgMTAJ6A7cKklS98t+Ih1EuD6P8kxW4wm6VTUarJsI+ZiGOqtVGmwUumvhsD6UGORmR0GFqsEuFKY88XsMfQOcOZhcWKuqzTTvZUCwC+eLq+r0ojQtl09q4zBfoKtto54xD3srVBotpU0YnJZyGYtmRfDImE4sP5zOvGVH6hTbdGBFZZsTn1uOWqtLq3C3tyQy2NUoah3ewlzeQ8mFRgPJoClmyuYzOUQGueBs27y2Sjvj8ihTqlkwulOd1wxJ++sfG17LAPhiR4JxUbHqwcE8vSKG2Kwy5g4LZuHqk3XavQ3r5E5RpYr1p7Lp5uPIygcG888jw3htWg9u7OtHiLsdkiRhIZPo7e/Mz/cO5J+HhzEkTBeOjwx25eNb+qCwkHjg52hOZJSw7amRxv33fHVjLc/TBzMjah3/7iWHmD0gED9nG37Yk1zncw7t5M6dg4JYsi+Zg0l1vXjXR/jgYC03ivU2l3AvB8K9dHN2Yu6FSuQaTQ2WihqGdXZm9bE0zuVdqKaXyWTYW9njYOXAcP3cdjCplGGdnVCqBYeTL633q1ln7BJJzq9ACAhpoWfseHox3o7WtUqQm8PC1TqxyZevrzsvL9uXYmwIe2Mf3zrCgDUarVHnBeCmvn7874YedUKdBiqUat7feI6l+1LYdjaXri9vYP/zY+q47vPKlMbefKCbGI6kFrE3IZ+hDRhkjtYKpkb48HdMJi9O6dbgORi4NSqALbE5bI3NYXRXV6rV1ZQoS/ByqebzO/14599cYtIr+WlfIXOGBbS6mwFA0Q2fUVWlJvb0Sf70Hcztg9u0ir65RAEJQogkAEmSlqPTWjrT0h0JITidWYpS3bjAZ3MWdc1Z9zW1OmzOPpxsdNfDlzsS65VtkfR7ySlVsis+r9GG9IdSCo16QkdSC3GxteTU+RKjZ6elXqqoEFcWb0+o1eD4eHoR47rrrpMQfSFPdkkVfiZ5mqbXZFvnXAW72XI0tQghRL3fv5ve61FQrjR+tw0hSRJPje+Cn7MNL645xayv9rNkzgC89FWFhpY1HZA31uZk6CtuK1UaBoXqtLUMHv6mvqeL2aMvfnCyURg1xQykF1ZyNrvMGNpuDgeTC3GwktPrIv3EY2kXvECmrZTSCir5bJuuO8TCSV05lFzE7vh83O0t+WJHIqZOUYWFxPDOHmw7m0ufAGdevru7sagFILe0mnUns0jOryA+t5zYrFIsZDKGdXKjs5cDdw0OZmS4B2+vP4uDlZy/Hx7Gj/tT+XRrPLvid/P2zb1YeyKLPQn5XPfhTv64f7CxG8vp1yfQ49WNgC6qtPxwGnOGBvPm2lhi0ouJuMiIXTipKzvj8li4+iRbnxxZq4jB1lLO9H7+/HowjVenqlrUP3RKLx/icuKpqtFwKisDe5saarS6//2YbracOpuEx+9vo531aZ3IiKu9gs5eNsTFp/J4+ucEWd1LTGwSNxxbRNH1i1oVSTEbY5eIoZKyper7x9KK6Rvo3KL3FFWoKNY37x52kZZLhVLNj/tTAF1T2Nem9ajzumEAAOxbOMaY0F+hVJNVUkVRZQ0ySaKHryPWCgvsrHT7efS6zgx+eytKtZbBb29jw+PD6eqtuwlEpxay4BedIvL7M3rz26E0TmWWorCQeOWvU6x/bESDApe3DQzijyMZ/HU8kzsGNSysqNFqGBBih6eDglW79jNi36cUTHwbmaMP9lb22FvB53c4M2nRScqVGsZ9EMNP93Uj2L1lhq4pjjZy3O3lJOc3T3+pHfADTDNTM4CBF28kSdJ8YD5AYGD9XRw2ns6uJS1yNVFUWcO0z/c2uk1WSTVTP9/T4OtJeRVc/9mF1wsqVLUet1TNO69MiVZAXE45QW668KBp7o29lc5TV65sOKeqLVuDgc67V6ZUU1ihwq0etXiDgnxBhYrQZs4Ts6MC8Xay5qFfjnLT4r0smRNFF28HnGwUuNpZXhOesfRCnRfM0UZhNL4M14NjC40xg0zKE2M743jR4tKgKn9dCyQtDiUXEhnsUkd81aAp9r1JeBLg8d91hSedPe25NSqQEe9tByC/XIWfs00tT22Aqy3bzuYS5mHHuO5e/Lg/hT8Op7MrPs/YXLw+1lwky2KtkLH1bC6PLT/GF7f3Z1ofX55ffZLnV5/kzRt7MijUlQ82xTHr6/3sXTgGP2cb7KzkSBJG4/Dt9WfZ+cwoPt4Sz/d7kvn01r61jmFnJeeJcZ154vcYjqQWGY06A7cNDGTpvhRWRqczf0TdgjYDBpkJpVpJRU0FEcG6xZQHRXivvh31jE+wttf9f0Z2scfK+i/cC2Oo3P8FpWNfrbO/gaEOdD2yGCuLaF519CQ/QY0l0dg3sH1TmI2xS6Q1GmNFFSrSCiu5fWDLWiDFmlSpXDzYlx9ON4YgpkX41nGF93/zQgJ60luTkckkDiQV8NOBVNbWU4XYN9CZe4eFMrmXN652lpx7cxJPr4hhZXQGEz/ezd6FY9h8Ops318bi52LD0jlRdPNxZGCIG+M/3omzrRWJeRV8tyeJBaPqutkBIvyd6O7jyK8H07h9YGC9K/oKVQXnS88jEEzo5Uj4oa+xkR/HM3pprQveQibx8/yu3PjZaTRamPfDOZ6ZFMDEXs0vIb+YYHdrkvI6zBhrFkKIb4BvACIjI+uNs7na6SbiR8d0on9ww99Hc5Jgm9yiGXm0oomNDKdhCMVcPOmYbvPW+liS8ir45s7+yEyuHwHc9+MR4+Nv79Lt43//nia9sIqv7+zPsn0pLUpgNmDIXTTNzTmWVszoD3bgYC0ns1h3zTz861FuiQzA0UaBg7W81pg9klpEemEljtYK7K3lzVI7bwxDHldKQWW9xpib/hrIb0Q/qT5GdfHkjwcGM2fJYWZ8uY+v7+zPkE7uBLvZtrlB2RFkFFXi6WBFpUpj9M63xjOWW1Zt9DzXZ3Btic2lk6c9Ic1ctBeUK0nILWd6v9oN3atUGuOCfIxJ0v6Oc7kcTSsGYPHt/fhhT7LRqJzQw4u9CbWvc4MTITGv4XwsA/NHhNLD15EqlYb43HKOpxcbKxwNGpZbYnNZtDmOhZO68t1dkTz4czQvrTnFu9N78eiYTny6LYGh72wj+e3JSJLEvcNC+Ha3LiypUmv55UAaswcEsGRfCgsnda1T+T++uzc2ilOsOX6+jjEW7uVAVLArvx5M495hoUbPmRACpUaJUq2kXFVOZU0lWqE1dlDp5OmIm52cR5V/4lFwgooDX1E69lV8Pu6DpFFimJ3tY5ZjH7McYWFF1uPHAfD5uA9vapSgz5AYU7bOeD71bd8cWmyMSZJkB1QLIdqvU+xVRH65EgdrObaWzf8qDWW8TQlaXswJfSjm5r5+dV4zjZnPMhHbA10egWHQnH1jIjVaLa+tOVMnf8CUY2nFPPTrUXr5OfHBzAi6eDvwwcwIVGotf8dkMvSdbQCM7ebJh7P6GG9cgW62TIvw5Z+YLKJCXPlmVxL3DQ+tN2woSRK3DQzkpTWniMkoqbeYQSu0IEH4F8N5Q6M0XrH1XfCejpb09LNDWZTNRxafMufvhzieFsYT4/2xUrQ8bBniYcO/xwvQClFror9MnAdM/5H++udaTFcfXe6LtaWFUSPnaqIxb0JOWTUv/nmKHn5OtUKCALMHBBgNJ0MIMaukilf+Ok3fAGc639jTqMM0vLO7scdrU9zc14/Vx85z9+AgYxsl0ElElFXXkK33LJRVq/n1UJpRcPNihus9F6DLu3S0ltcy3BzqPFbgaCPX/baWGx87WisIdNVN8qkFFbXCTQYMydn5FQ0X4zRED1+d9MWcJYe4e8kh3p3em2A3O/bXk8NztZFeWIWvsw3H04ux1zezNixqHaybf0/fb2LUX9yUGyAmo5gb+9S9bzeEISH9YsPD4H3r5edkXLyqNVr+p9fL6+XnhIe9lbHyd2gnN1ztLOsV2Z7Z358hndzIKqnmvQ0XDLJnJnQhu6San/TH+mZXEoBOE9PbgT4BztwaFUhhhZIPNsUZU2O+2pnIuO5e9A9y4Ys7+jH/x2gWrj7JBzMijJ6w+36M5ru7I+tIe3y+PYHVC4bww95klu1L4fnJtcO5dlZyxnX3Yt3JLF6rp53YbQMDefz34+xLLDBGjYqri8kuz8ZCZoGlhWWd9nU+H/chut45xZLKrlOwjN+CXKNEY2GFsvM4Skc9a3xvzr2bUGx+B9vErdhIKgQyNALkkhat3JrqTmNrbd8cmrzaJEmSAbOB24EBgBKwkiQpH1gLfC2ESGjRUa8h7KzkVKo0DeZqtCXL9caTaUUK6Er4DSudcC/7Wk2TSyprjAPt4AvXoRWCGz7baxS8C/OwY8GoTvT2d8LbyZqc0mpOZ5by/Z5kTmSUcPJ8CRM+3sXfDw+lt78zT4wL5++YC67qb+6MrCNEeMcgXfjRSi6juLKG/YkFjGjACLihjy9vrYvl14OpjVaW5ty7Cced7yE7uxlrVA1e8KO7OeO54zN6yM+w2H89s47fypnMCt68OYRAt5aFLUPcramq0ZJTosLHuWWGcxtwGOgsSVIIOiNsNnBba3bkaK3Az9mG2KxLSzC9EgnRJ5On5lfUMcYig12NxpgBg8DykdQiJploSPUNdGm2MRbmqcsJe25SV5ILKtkVl4ernSWf6cMrhRUq+r2xmdemdueeoSHUaLSUV6spra5h5Ps7jPt5b0ZvyqrVlFbV6H5X11BWXUNplZqcsmric9W6x9XqJosLFBa6MWgIu12MIZempZ4xAwbpiwd/jubJP2IIdLU16qU1pPN2NZBRXElnfV9BR73xVVJVg52lRYvyTg1aVXcMqhvtEEJQqdLgaNN84+5QciHWClmtfDGNVvB/62IBeHbihZy0Y+nFxoKQOwcH8dKaU8bXnp3QlRsW1w3zH3lpLO72Vqw7mWWcHwYEu7BgdCc+3HSOU+dLkcskfJ1tSNM3hbe1tMBSLuP3w+ks3ZdCmIcdb9/Ui9SCCj7V56pN/3IfP86NYkS4B1/f2Z95yw7z/J8n2fzECMYu2sWW2BwOpxRyKKWQXn5ORAQ4GYuvVkZnMKmXD78eSuPR6zrXErAFuLGvL3/HZLIzLs+4uDIwsac3Lv8o+OVgqtEY0wotlhaW2CjqlycxGFROiRuRS1qEZEFVl0mUjnoWh32LsdDoKuqtNKo6FfVae0+0VvZYUYNaZomFVoUFUCNZIm9lBX5zro7twBbgeeCUEEILIEmSKzAaeFeSpD+FED+36MjXCA7WCjRaoVcCb95ga22Td0P5fP/g2itfU7XkGf39axmFL67RJfyP6+6Fp4MV9y47YjTE3rqpF7dGBSBJEuVKNdU1GsI87Onk6cC0CF82n8lhvl4xedrne3lkTCeW7k3BWiEzetric8vp4l276qi3vzO9/JxIK6zE1tKC9aeyGjTGHKwVTIvw5a/jmbw6tUedAWjAIDlhSQ1KFFjWc8H7fNyHp0xWOlH5/5Bi/Q/KUgV9f/iJhVMCGdu9+dWrIR464y05v/qyG2NCCLUkSQ8DG9E5w38QQjSvbUE9dPNx4KxJ14KrAUu5DJVaS0llTYM6eUH6sE9yQUWd6t2BJl6FU+dL6OnnRGSwK+72Vvx7IpPJvXwI9bAjKa+CT7fGMyDYhZj0EmNbnPqICHAmOb8Cd3tLbC3l7IrTVe7WJ1eg0Y9zhYUMFzvLWpXN/i42dTzYDSGE7v5SWmUwznQGWm0jTk2FUs2EnvV7EeUWMlxsFfWq8DcXJxsFS+dEsXDVCVYf0zlpUwsrjPmjVxtqjZbM4moG6PuWGjxhpVU1Lc4XMyTv1+fFVWm0aLSiRdGTQykF9A1wqeUBMhU/NfWY7Th3oRnB5F4+Rh3K7U+PqlVYZWDbUyNxt7fiaFoRC37R5ZK+NKUb2SXVzFlyGC9HK96f0ZsJPb1xtFZQoVRz77IjHEguYNHoTgwNc2Pj6Rw+3RrPUytiGN7ZnU9v7WsUS77rh0Nsf3oUIe52fDizD6M/2MEHG+P4ed5A7vj+IDO/2o9cJjFveAiTe/oYjbFfD6YZE/9j0ovrjOfhnT1wtbNkzfHzdYwxa4UFMyMD+H5PMjml1cZik8bw+m48kkZprCiShAbbs/9iE7+Z6pDhFPWYxe1H+/B28AG61FNRr6gq5GfNdVhF3c7NcS+TVazkr/A3mWO9A4uKlvefbY7pP1YI8QYQjklGiBCiUAixSggxHfi9xUe+RjCsdpqjUXQxrXWkXeziPWZijJlWngkhjGrHH9/ShxVHMth6Vjdwv70rkun9/bjlmwMEL1xLz1c3EvnmFkKeX0fwwrXEZpUxvoc36x8bbtzfZ9sS8HOxYcuTI40rs9nf7K/3HG8fGEhqQSXONgo2ns5B3cgEN7abF1U1Gs5mN+65kVUWcNBtKjPVb1De+5Y6khMGwdYqdJOeQbA17vYNhHna8MqfKby/Pr3JqkIDIfoCgOQOyhsTQqwTQoQLIcKEEP93Kfvq5uNIUn5Fuwl1tgcGTaP9SQ17rHwcrbGUy+qt7DMVmXz89+OALrdwSi9vtsbmUq5Us/KBIcZtRoZ70Env9fJ1ssa5HgPw27v6s+NcHgNDald4dve9YJAYKvQuFrk0pSGh2vqQJAlbSzneTtZ09nKgf5Aro7t4ckMfP+4YFMSCUZ14bmJX/ndDz0YNI3d7qwZV+JuLpVzGh7MieHSMLg+0LTsJXG6ySqrRaIXR0Le3upDA39JKSkO+1sCQujmZhu+ooYb2F1NaXcOZzNI6IUqDsn2Ev1OtOcDQ6/S2gYHs1i8O/F1sUGu0xvu/gWcmdCHUw57qGg03f7EPgLsGB5FaUMl3e5K5fWAgW58axeRePvx2MI3ghWvp8epG9icVIATc/cMhUgoqmNLbh/WPDefNG3uyP7GAxdsSeNhEguO+H49QqVLrCkBGh7HhdDYyE2tDrRUMCXOvFcWBC2LPF2t/gW5RM6WXD1vO5FBWXbfoZkZ/fzRaUcs4bYycezdRbeuJWuhOTEgWqO29yblvs66ifsKrxEvBrPR+hKIbPqvz/owJH/GKei55dmHk3buZqbLPSZaHUDr2lXq3b4omjTEhhOFT/wT8qtc/AkCSpDkXbfOf4+Kkz+bQGseYUt3wTe+4iTEWbJIgalhJWVrIsFZY8OyqC8r9fQOd6fLShgb75E3+dDcfbjqHp4MVplHIsd288HexZf5wneJyUWUNJZV1P/vUCF8crOQUVKgorFA12o/PoOeTkNu4MVZ0w2ec7PMsJ9SBxEYurHPBG7xnVtSg4oJgq5u3L4vv6Mztgzz582g+9y+NI6OwaQ+Bo40cN7sOrahsM7p6O6LRijp94K5kDLIojYUPZTKpVmsTUyRJ4iZ9fqXp557Wxw+lWstP+1NxtbNk3rAQAD7YFMfkXt68fXMvokJcmdjDmyfGhhvfZxAWzi9X1hEE7WdSGW0IFQbWkztkwLoVOYyXipu9ZaMq/M1FkiSeHN+Foy+Pa7FO4pVERpHu/2QQFjZ6xqpr6hRINYZp4YtlPaFNQ85gU+LEBo6mFqEVdfPFdp7TGVrTTdJUckurjZ/jpr5+PKj3dH0yuy+/XKThaCGTjN5YQ06Zq50l3k7W/HQglfkjQnnzxp4sP5RGj1c38vb6s/We39hFuwheuJbCShV3DApi6ZwoMour+PPYhZTWhNxyY7j03uGh+Dnb8L9/zvDTvCjjNgOCXZAkifuGhxifi8spw8FKTnxO/fepG/v6olRr2Xg6p85roe52yGWSMazaFFp7T857DEWGoFooQGipDhtljLZIkoS7g4L88vrndkN6jla/tjeNGLWGltwRzgI7gVWSJBmu1EdafeRrBIeLkj5bgtQsxSUd6Y1cYAYNJXd7q1o3EcOAe/vmXmw6fUHg9enxXYh8c0uD+zO0bflsWwL939yC3EJm9BJ8vj2BrJIq5BYy7hkSDMD//q0rfWVnJWdyLx+0QmCtkLHuVMN9I/1dbLBWyIhrYACaEqT3VqU2YCDJKgvYbDuJxxzepSJittF7JreQeOg6P96fFUpWiYo5P5xlW2zTqs0hHtYd5hlrSwxJ/LFXUajSID68p4nm1WO6enIgqZCCegyNEeEXQh2GcdI/yIWx3bz4bFs8mcVVvHx9d6MA5AebdMrza45nsvxweq1GxT/Ni+LTrfE42yoY3dXDKBoLuiR3A4bJoL5EbgNNCdW2B25t4BkzpSWaTlci6XoPpuHeZkzgr1K3KEwZb2Lo11foYzDGmptbZ5hLLg61GSIgpt/7jrgL4TDTe38PX0eW7kup9f6R4R54OFhRqVLz5Q5dP9VPZ/fl063xTOzhzfOTujL7mwO8uTbW+B5XO0ucbBTYW8mN8igGIt/cwr7EfIZ1dufLO/rXETleffQ8iXnlWCssWDipK2ezy1CaGCuGNEjThc2/J7II0y966qNfoAsBrjb1NvKWW8jwc7EhrYG8yXqpyOdnzXXcpPofaWHT60Rb3O0V5Jc1YIzp/9UavTFurZBRpbo8xpgQQnwFrAb+liTJhubpN17TGJI+63ObNkRL+mgZUDeSwGtwg1+sdWbwKIzv4WVMur9zUBDvrI+lMS4OF/5w9wB2PD3K+PjfGJ1h9dh1nQFYdbT+fn49/Z2o0Qi6+Tiy4VROnd5jBmQyiU6e9sTlNJ1gHuyuuyE05K0quuEz/g14jEOV/vW6i4d2dmLpvV0JdrPmpdUpLNqYbqwGqv94NqTkV6NtbaLfFUKwmx3WClmToeAric76kGFTbXemRvii0Yo6vUkBpvTyNf5927cHjH+/OrU7WiF4ec0pNFrBpidG1kqKNsVw073nh8McSCrkqfFdsLWU86CJdptpbk9aYSVudpbYN5D/CM2fmNsSD3sr8trAM3atkFFUhUzC+H8yTeBvSbL99rMXwmL1pZ4YxIGbmzMm119wpkUbQghjr1XTEKXBW2ZraWH0THX1dmD10brGys39dF5iw/3b38WG1UczEAJeur4b7244x8GLIhiFFSqTSswL5+OmNwhv+/Yg2SXVDOvsXqsPp4FleoNwfA8vbBQW/HviQvHXok26hU6fAOdahp61QlbLwDVFkiQm9/Jhb0J+vdGiQFfbZnvGAJYFvsYr6rnEiiD2dXuqznyh84zV72ixuOj/ZHMZPWNFAEKIH4Hv0VVSNrz0ayFXax8+w2qkvXPGmuM292sgR8XBWmFsfTS+h1etcvzm8Na6WJxtLY2aN38c0VWomSYkF9VTMh+un0zd7HThkcYmgnBPhwZd06Y4WOvEWFMaCR26OygorFA3aMD6OFnyxV2duSXKg5VH8nngx3gyi+s/t1APfUVl6dUdibeQSXTxcriqPGOmhSiNGcxdvR3o5GnPPyZVvgYs5TKj6nlptZozmbrPH+Bqy8KJXdl6Npcn/ziOWqNlwahOxL05iSVzBvDy9d35ZHYfjr8yjqS3p2CjsOBcThndfBy5LSoQIYQx5Pd/N/Wsdczk/HL86/GKZZuIaV6c93k5cLG1pKxa3eh3+V8io7ASb0drqvWTujHlpIVhyu36HCVJqr/7REvDlAbvmlp74f9keu80DXEbqij9XWz4VS9vNDXClxf+PFlnvwP0GoNL9AbSi5O7sfF0Njf388fBWsFXOxPrPR+Nvl1UvolXtahSZaxeHvT2VgCem9jV+PqEHroE+18OplFSVYOV3ILBYW61RGN/2KvTGZMkqVZ+ZUG5ivxyZYM9kYNc7dAK6vXyBrraNhpFupic0gv7KK2qa9w1xzNmmGasLS0ujzEmhLjO5O+VwCKgbp+SVnA19+FzaIUx1hofS3M0bxrLKzNwsZhecziTVYoQgun6lVV8brmxf5shAdO00seAIRestEr33eSUNmxAdfZyILu0ullq6EHu1o0aYx4OCgRQ2ECsH3TJoI+N8+ftGSFkFCq557tz7DxbXGc7Y0VlXgtc31co3XwcidX/L68WDP0cF29vWD1HkiSmRfhyOKWQrJK6/6dboy7IDUz+dLfx73uGhvDsxC78dTyTe388QmJeOZZyGaO7eDJvWAg39PHD0VrBiiPpVOkLH24fGIiFTOI5ff4lwM19L+TwFFeqOJJSxKDQuoncu0xCSl6Ol10qhcoaNZZymVEG42qkLRftGUVV+LvaGu/d9lZyNFpBWbW62Qn8pdU1HNFrgjX0rVa1MEwpvygXCai1UDU15A29ep1tLI3hzb31hPVl0gVvlmFBJklQodIwuosHi+qpumyMAFfbWu3A9iXmY2XiHZ4WoZsrNFrBupM6T1x9Y6K+bgcGw7OhUKW7sbVX/cZYYYWq2ZGq3NIawr1s9OdSdw53d5BTrtTUW6hyIWfsgmesqj2NMakB8SwhxL9CCPfGtmkBxj58QggVYOjDd8VjmvTZntg1w8VdWs/FdDGtzRlJzq+oVTFmqOwxtDFafaxuqNLFzhIPByvjgMtupM2GIWenOQnmIXpjrCGjwsNBN7AbWtGYMrKLM0vv7YK/qxXPr0rmk80XmpEbjgU0avxdLXT1dqCossZYsXQ18D99Wy9D/mNDTI3wRQjq7SZhZyU3htSBWg2JF4zqxOvTenA4uZDxH+3i4V+P8tXORFYfzeDdDWeZ/Olunll5Qi+yqWstVVSh4o8juut93rCQWpPspjM5qLWCKRcl+IOu8bOB+oRZ25u8MiUe9lbtrofYXrT1oj29qBJ/FxvKq9VYyCRsLS0o1xs0zc0Z2xufj1oriAp2bVAYuqWeMQuLup4x0xQOU6PHcK+qrDE1jOqK8brbWyG/qLjA0PaoX5BLi6Mlga62FFXWGPM6b/v2INkmi+2c0mqj5+icPjXCcP2bCk8b5gRHE2eDocNATmn99yl3vVh6fcUohqKZ5oYqc0pVBLlbo7CQ6jXGPOx110FBPaFKY5jS4Bm7xDBls3TGJElaBfwlhDCWZ0iSZAkMA+5Gp0W2tNVn0cw+fM0hq6SK1/8+Y1zJtoRLuUe9s/5svV3l6x5DMrZQemz5cWNZcqPvuejxPH1vMgOGz7onId/4mulnuXfZhe0bkqJoik1ncnhg5IW+X9kluoFgECU0rA4vpouXA4n6z9uoZ0wvvBifU1ZnotJoNZQrLxhp3k4SlSotKQXFRsPLFFsr3WBOKyoj0L1pL5CjDXxwiw/f7szn90N5xKSX8eL13ng5KZDJwNXOgrjsMsqVLes/eqXRVd9U+ExWKZ7N0OG5EjBt7aNSaxvscxribkcvPyf+icnkXn2lrykPjAzjt0Np5JYp+d+/Z+jp52SsVrt7SDCTe/mweHsC609lGeUAFBYSXbwd+GR2H6b29uXz7Qks2hxH3zcutBa7f0TtY607mYW/i02d5s5QWw+qXwdUIeaVKVvc9eMKw7hoB5AkybBor1tB1AQqtZbs0moCXGwprlRhbyVHkiTjwrG5nrHt53JxsJbTJ9C5VlW7KcacMUXrc8ZMF4imsiiGhPis4tr31n6Bzka5DaBO8r3pPpsruWHK8bRi+ge51Frcf7srGQuZhEYrSM6vINDVlpSCShJyy/nr+HljS6bOnvacOl9CQYWK3LJqung71Gv8GprbX4yH/rPUl/ZiKJpJL6zE27nxAhOtEOSW1jC6mwInGzmllfWEKfXzS155Df6utb9Dg4PZ6BmzlF2S1Etzro6JwFzgN70aeDFgjU6IchPwsRDiWKvPoAU0pylycn4FG05nE+hqWyunqVm0MHxz8dYFzWg1IgS1+tA1x0txcS+/lIKKBl3eOWXVdT6GaQJ0E0LeDfLO+rN8tPlCZdkLf55kzfHzRkmP3DIl/7f2DPZWCuysLLC3kmNvLSezpMq4AjuSWsT1vX2xs5LXmVT9XWywUVjUqai0s7QjzLV289eBwYV8Th4qlSvBLnUj5fYKJZAOWieCXZonrAnw/oxQruuawwurz/Dwzxm8O70nY7p5EO5VQHaJmmCX4Gbv60qkm16D6mx2GaPqESm9Urm+tw//nsji8+0JPDkuvMHtbuzrxxv/nmFPfL5RhduAjaUFqx4cYmxBNOvr/axeMMRoFHk4WPHatB68Nq0HJZU15JVXE+hqV+s6nT0ggEUmY+DrO/vXMmpLKmvYm5DP3KEhDfRZ1d2oXe0sCXJrs3TbZpNXpmy0wvMqoM0W7ZnFVQihm7zTCyuNSfyGCIdjM1sh7U0oYHhnd32+WP3bGBbLzQ1TGuYH05xXQ29RoFaY2eA9K6hQYSWXGTUUo0Lcahlj9XmRDLvXtCJtoUypxsXWknPZFxwQP+5P4ea+fpzIKCGntJpQD3tSCirZk5DP0bQiooJdOZVZglor6BvowpbYHKP3qz7j17OBhYPBSKvXM+Z2wTM2uJNtnYW8KYa8YmcbgYO1RH5FdZ1tbS1110NGURmd69FTloDqGhXlynJkkobqGm2Dx2uKJq84IUQ18AXwhV7Swh2oEkIUt+qI9dOsPnzNaYrcUx9OmNHfn0dNQhPtyfD3thEZ5MpHt/Rp9nsmfrwLL0drls2NanpjPcEL1wI6DZmeJivvZ1fG8MeRDBQWEr/PH2xUsR/27jYyiqp46+ZefLIlnj0J+TwxNrxWuX5LuGdIMF/r+5SB4UK8sBL4+UBaox7Jv45nGj2BlhYy7K3l2FlZYGcpx8FaTlWNhh/2JlOpUmNnJdcZdFZy3d/WcuytLPTCjLqbWnJeNaO71DW4vR0UyGUS+WU1WFq0zCCfFhFAhL8rC345ygM/H2f+iFDCPOxZc+w8Cpniqg3xADjZKvB1sr6qkvgB/ndDT/49kcWnW+MbNcZuHxjIsn0pvPL3KTY8NqKOwR/gasuPc6O464dDANz8xT6+vSuyjpq3k62ijuK/EKJWW5mb+voxoYd3rW3Wn8qiRiPqaJBBbS9Hv0DnDrmO8sqU9OuA8OjlpjmL9nQTYd4ypbpOuolDMxP4y6pr8HSwRoj6ZS3ggoxJWXVNszyTcr06quk1427yvuT8CkI9dGkdpsUYYR72Rr09g3ixgdwyJWXVNbU+l6H6/mRGidGj1RIcbeS18sbUWsEjYzrz4pqT5JRW09nrQmcWK7mMz27ry6RPdqPRCiL8ndgSm0O8Xluyvpzohrz3tpZybC0tyC+r6/xwtFbgbKsgrbASJ2snnKzreqgNxFQVA8lE+AUSnZKMWi0Id699f/GyqwHSsBAuhLvX9bhbyBJwtnEh3D0cXycNSnVZnX00l5Y2CpcJIbIAJEkaB+wVQjS/dKFh2rQPX5iHfa0WQe2Ng5WiRaKvoCvn3XA6u0U9LSMCnIlJL+ZsdlktY6xPgAt/HMmgRiPYn1jAWP3k8th1nXlm5Qne/PcMc4eFsCchn4+2xPHomE7GXmJN4W5vSX65ii9u78f/t3feUVFdXxt+zszQe+8IKFgAAXtvMZZobDEmahITk5hoeu/5xfTypZiYbnqMpplqib33XlGQIkV678zM+f4YGEE6goDeZy0WMOXOGZhz7z777P2+14UaMhRJOcU8PiaI+0cFotdLAp41ONafemUcWp2ewjIdhaVaCkq1PP/HcfZW0WP63/U9Ku7TUVBaTmGpzmjlUsnGSIM6el0Gy5Wk1LHtqVIJXG3M6ry/ITo5WfH7/EG8uvIkX2yNMa44k3KK8Xbo0JkFunnYEtnBPCqr6irVt1VpbqJm4aRg7vh2H0u2x7BgRJcajxkW5MLrU0ON3WZ3f78fgPWPDq9xAavk+11xvPhXdSeqys60SorKtCzaEEWwp20NVXGAL7ddWMS0hVBquU5PVlGZcYung9Jii/ZKoVQfR8uKIMVwKazMxiTnNK5hpzIIM5zHa39MTx/D5+FIYo4xiKoPTUXmq+pC16nKHDh4Lttou2SqUQOGc2fVjFltNYmxGYX09Lanh4ctJ8/nkV1UhkoYJJAWTgqu5mnZEHYWJpSU6zBRX8jGLbo5HF8nS8q0ejRqVbWylMWzeuFma45aJdDqpbGDtXJbL7OgrFrNlZWpul5pGGdrszqtvQzyFg3//yqbfTztLXCwNK1VTsPWXIO5iarOEhuVSlC5g2xhYuim1OtlDb/mxtDUYGyJEKLSer4bcBYYWs/jG0VL+/CFeduz+XTaZTHvBkNU31Rpi3Afe5bvSyA+s6iaan59zBnYiUcTclhxMLGaWXhVg+3NZ9KMwdjkcC+e+O0oRxJzGVfFFNm6kSl4wNjOPKqbK1JKo7BfpSBhYVn1961Rq7CzUBnTzl3dbTiTlk+olx15xeXcMdifuhj93ha6utnw8exegGFlWFRmCOqMAVyJtiJQ0xrtcmrDzc6ctDoKQBuDuYmaV6eE0t/fiWdWHKNUqycqraDDB2PdPWzYeiadUq2uTeQVmsukMINJ8OKNUTw6pnY9MICR3VwZ08ONjzZEMzncq4Z5OBhsY3p42jKlSqZr9HtbAEO9zuRwL9LyS2pV/r9riD8bI9P4eX8Cs/pfyLp8uvks53NL+GhmRK3nnDerqJm3Rb1YVmEZUtLRa8ZabNFeuQWorvDldbUxnM/8na2xMFFzIjmPG3o3fByJoVNRSkMNUm3XnEBXGyxN1RxJyGVqlc7buujiao1aJTh0LscYdFX9v1XtXA/3sWf9KYMafUz6BUswB0sTvOwtqgmxLvznJO/PCOe5Cd2ZvWQPb66OZHR3N5bujmfDY8ObFIwVl+lYday6rt/kcENoEJNRiLmJqpppfaWbhkYl0Or0xmCpckv2eFIu3dxtjXV3DdW0OtfjJuFo1TiniUqvZ097C+wtTWuV0hBC4GZrXmczgVoIowZlZYNGcbmuTo/l+miqJ4c9sLDi6wbguia/Yh20pA9fuK89mYVlxtVPa+PlYMHZ9II6RU1rI6wigDqSmNPo51SaEV/cLRPkZm38IGw+nW7sMjTVqIz6LZ9sOsv7N4UB8PqqSD6/tXcNkdiLqWoFY26i5myVye5uZ5gslScA9zomT1GZDksTdaOKh4tKtdU6jtQqgY25CR52FnRxtSHcx54hgc6MC3FnWi/veiesm415szNjVbk+zJN/HhjC1AgvujRiVdve6eZui7aD2SIBLKzoqmxMRvfF63sgkbzyT9113eE+9hx9aQyTwz2r3a7VS34/mFgjENOoBJ/d0pvnJ/bg1oGdOJKQw7FEg6L/ucwiPt8aw5RwT/r41Wzfryo5o1YJwnzq3jppLSprUztyMCal1AKVi/ZTwC/NXbT7VJwXE7KLsDTVkF1xIVarBN08bDiRnNuo4+grMmJdXK0pKddXO0dWolYJQrzsqnkI14etuQkRPvZsjbrQfVs1O3wkIdfo9dvX70Jgn19ld2FrVEY194k+nRw4k5LP+EVbjTXE2UXlTO/tTUGZlnf+O83yeQMaNT4wmJ9XZVBnQ+3uvrgs0vNLqwVilX6dhaVa0vJLcbU1Y1+FuGxnF2v0esmJ5Lxq9YwNfU4drep2k0jJLanzelSJlJI/DyUR4mWLo5UpDpYmZBeV19qhX9+1RK0SaHU1g7Hm0NRgbAkQW/FlK6Vsl/sd4d72QNMCnUthaKAzmYVlnEhufC1OoKthBXaoSpFlQ1RtSKgaxWvUKqZUePAlZhdXWzn9ed9gwCANMDTQxXjxueeHA/T1c+Sv+wbz0cwI3pnek1emXBCv1KgE3+w0SABU1unsOnvhAtWjojOv8j1HVPHmq0pJuQ4LUzUpeSXGAK4uCst0jW7/bgh3O/N6uzebgr+zFe/fFN7Ri58Bg9YY0OG2Kqt+9o82MK+9HSx5YFQga06kVFP8vhhbcxMW3RzB3ueu4ZXJwTVMnq3NNEyN8OKnu/pz5tXxxuzytF7eWJio+XG3QQ7glZUn0agET4/vXuvrLFp/QZajdyeHRiuxtyRXQjAGLbdo963SdRfqZcfJ5DxjgBPsaWvUVmwIvZSohGBAgCEY2V1HR32Ejz2nkvMapQUJMDTQhWNJuUbVfZMKSzp7SxOKy3VGJ42Lg//KbdbNkWkM6XJBQuJ8bgn/PDCEnt721QRh5/1wgAUjOvPrgURu/mI3DWFvacK8ig7i0d0vNAE9cm0Qj/58mBs/M3Tr21TJDFVmpw+dy0Gnl/TzdzIGN51drInPKqKgVFttC92jgWtFRkFpnXZcSdnFtWbEq3LwXDaRKfnM7m+QZnK0MkWnl7XaGpbp9MYO14tRCYyZMYuKed3cjsqmBmP/A3Zi8Kj8WQgxtVmv2sp087DBVKPicBMCnUthaKDhQ191JdMQGrWKUG+7JgeMYyq2IL/eEVft9rurtPO/uTrSeCJxtjYzbqf0eXU9b07ryeyK33/en8Dkj3fwwLJDPPHbUV6okqa2szAx6r08MMpQe7OhwvZjcBcno+TAzxVq/NN61Z5+LyrTohKCnKLyBlcrxWU6LJuR3q0NV1sz8ku01QpMFcDPyRIzjcqoE9eRqDQZnrR4RwOPhLuG+hPha8/Dyw+zphabpKq42phz60A/fr5nIHFvTjB+HV84lvdvCmdQF+dqNSB2FiZMDvfkryNJvL/uDOtOpnLfyC51LjY+2XxB2XxuPdv0rUllMFZXh9rVhpeDBUIYuu5CveyMZQhg8BnNL9FWy+7UhZSGraxOTpZ42Jmzq45gLMzHnjKdvtGLoGFBzkhZXcDVzcYcB0tDAHLonGHBHeJlW013rFL2YtPpNPr4OWBpqsbKVE1STjFbzqSz9K7+vDCxR7W6y483VVfef3xMUK31WsGetpioVXxR0cS1/tQFqZbZX+5hZYW4q5OVKRPDLjSxjKlodNkbm4lKGEolKunsYsWxCs9YE82FOVa5PVsbUhoy+4G11HjmFpeTX6qt042mkqV7zmFtpmFSmCE5UVlWc/FWpZSSs+kFdK5jV0RVpfGhMpHQUK1zXTQ1GPtZSuktpfQHukkp/2jWq7YyJmoVIZ62ly0z5mxtRoiXrdEnrLGE+9hzIjmvSfYk9ww3BF0fboiqtnLzd7YyWlDsj89m7ckLrvavTQkxRvbdX1zDo9cGsezuAdVqzSp590bDVmalTMff9w9GCMGxxFw2V7y/qt1ilY0Sg7vUbsZQVKYzdii529U9Qcq0esp0eiyboXlTG5UFr1mNkBu5mtCoVQS52XCqg2XG4MKiB6jTuqUSM42a7+b2I9Tbjvt/Osiaeozqm8MtAzpRUq5n0YYoxoe4G7MFF1O1McXX0bJG5+blolKTqTa9qasRM40ad1tzQzBW0XBRGRQEe1Zm/RveqjQEY4aAbECAE3tiMmvNqFWea+vSIruYnt722Jprqrk2jOruyrmsItQqwe6KbT4zjdpY8gIXxE6zi8pZuuccC0Z0NkqqLN4UTYlWx51D/Pn3gSF1vvb/rT1TxY/yAieS82qVYgpwseKG3l58ODMCgLuGBhi1+mzNNYzsZpi3e+OyCPa040AVTUoXGzNOJOViqlZxPOnC33tMPfPkfG4JBaVaulTp1qwkqaI0ycu+7l2MnKIy/j16nikRnsbarsr5YW9ZPduWUVBGfomWAJeaJT2peSXkFJXj42i4rlXqtTU3AdDUYMxECPGiEOJF4D0hRPN6OC8D4T4OHEvKrSaW15oMC3Th4LnsJhmGh3nbU6bVNylLEVaxBQuw9yJT13nDLuhxvbU60pgSF0Jw5tXxxmLJ3q+u54fdcfxwZz9iXr+OIy+O4dTL41j/6LBqNi+GzjDD67237oJdRmVLf9VAp7atF71ecjo137gKqy8zVpnabanMWGUwWVcq+2qmu4dNh8yMARx4fjRgyP42tIixNTfh+7n96Oltx30/HTLasrQEx6pcOBbdHIGJuvZTaeW2DcDcwX7VNAYvJ+n5pRWdYR2naaO18XGwJDGrGH8nK6zNNMYawCA3G9QqwfFGBGOGbUrDzwMCHMkoKKu1HtPDzhwXG7NGd/mrVYIhgc5si8owBndTI7zQ6SV6KVlzPIX4TEN92uDONRuZendy4LMtZxkX4m7cskvPL+WxX46g00t8HCzxsrdokuBrkJs1N/auvgNy6IVr2fjYCF6cGMz7687gYGlCQWm5saFtQk9PzDRq8krKOXQuh75+jvy016AdH+plh14aBMV7etsZRWGnRnjV+zmtzGDWlhmrbFioLzP224FEyrR6ZvXrZLwt8nw+XvYWNfTOKgXLa8uMVW5JDwww/P0rr4f1dYHWR1ODscEY5KVExXOb+vzLRpiPHSXl+mo2Eq3J8CAXtHpZqxVFXYRX1Fk1drUEhszGS9cbHEBu/6a6En/vTg5GL7+YjELjxANDOjX6tfHcNcSwTbLqWAqhL60l4NlVhL28lu4vrmH0e1uNXUZOVqak5pVQUq5jzfEUNlVkxR4eHWhcXX9bYfR6XWh1vaVKTqXkkVNUToCz4YPsblf3qryyK9OqhWrGUnNLsDHXtEl9Tnunm7stGQVlHcoWqRInazPGV9RuVe2GrAsbcxO+v7M/4T72PLDsEN/siL2kBZpWp+er7bHV6m72x2XV+tjotAKj7pONmYYb+zRegLiluQLU91scH0dLzmUVoVIJgj1tjQG2uYmaQFfrRtUAG7opDdFY5UW5troxIQThPnWr9NfGsEAXUvJKjMFdkJsN3T1s8bA1R6MSfLjB0Mxy28BONQKAWwb4ohaCt9ec5unxBgPvTk6WrD6ewsJ/TvDJ5miScor55o6+RL4yjs4XZX7MNCpu6OXN5HBPpkV44WhlypnUAn49cMH27syr4421nC/+dZzTqfncM7yzcRsT4MY+huBtydYYSrV6+vg5GJtjxoW4s/LYeWIzCpk75ML2faXFXl1EVVzTg2rNjBkyg3XVjEkp+WnvOSJ87WvY+1XdPq2kskGttszY7phMbMw1xuMcTsjB2kzTKPmS2mhqMHUb8LKUcqGU8mYpZWSDz2gjInwMXSZN+fBfCr06OWBtpqnmP9cQnnbm+Dpa8ncjLJGqUvlhLS7XGVdHlbx1Q0/jxPr36Hle+vuEcWUlhOD5iT048r8x3FrHB/6d6T2Jef06Ppndi4yCMp794xgLlh4ADJmtSkskKaWxs+2+kTX1nAB2VQSm/hVdm271ZMaKmmim2xApeQ131FytdKs46XQ08ddKPqmQPjl5Po/YjJrdaxdjbabhu7n9GNTZiYX/nOTa97aw8uj5Jhumbz2TzoQPt/PKvycZEeTCkRfHYG9pwo97avf1q5TLAIOcRnPa3VsKJRiria+jJan5hgVnqJcdp87nGQP1Hp62jQrG9FIa7ep8HC3wrKduLNzHnpiMQnKLGrd7UukiUfWaMiXck+TcEoYGOvPHoUTOphfgYGVarWYY4ERSHveP6sLak6lYmqoZHuRCQlYRXvYWfL8rno82RjM53JMBAU6Ym6jZ8NgI1j86zPj8Uq2e3w8m8tfhZFYcSqq2C7LywSHEvTkBU40KKSUfbYji1wOJzBsWwIqDBr1LgJn9fOjl60B6filLtscysacHRxMvZBtv6uvDxxuj6eJqXa1xq1cdzWCVRKUW4GRlWuuuR1JOMWYaldFM/GJ2x2QRk15oLNw3vFcdZ9ML6eZuW+PxZ9MLMDdR4VlLic3umCz6+zsas92HE3Lo6W3X7Ox3o4IxIcRAIcTzQLiUUgohBgshPmuvBfxgmBiOVqaXTfzVRK1iYGcntp5Jb/RJXgjBHYP92B+fXa0DsiE0ahUvTDRkx4a/s7macrK1mYbPb+1jzDD9sDue11edqralY2dhwitTQqoVK1d+3djHB5VK0M/fEVtzDSsOJhltM96a3tOYPt5apfU/2LP2Vv0d0RkEuFhxJjWfAGerelWti4yZsZa5YKXkNty9ebVywRapYwZjQggW3RwOwMj/29yo51ibafh+bj++mtMHU42K+346yJSPd7AtKr3eDrcyrZ6D57K5/Zu93Pb1XorLdXx2Sy++vr0vdpYmzOjjw9oTqTU6d6uakatVgjmD/Jr6NluUtPwSXGyU+VAVH0cLpDRcwEO9K4r4Uy8U8afnl5KWX3dHtpTSWMAPFXVjnZ3YHZNVb93Y0aScRo3P28GSnt52fLMjzigAOyncEyHAw84CM42aDzcYOnXvHOpfTRh2yfZYZvXzJcjNmgeWHWLuEH/6dHI0Cp2CwcC7qg5ZF1cb43VgzcND+d/1PXh8TBAPjurC2keGGe+rPN/nl5Rz748HeHfdGcb0cONsWoHRzs7bwYLnJhiuUYs3RlGq1fPgNYF8td2QNZvRx5sD8dmcTs3n/pFdjLs8Bmup+oOZqLT8OgWak3IMnZR1HWPpnnhszTVM7Hmh7jk6rQCdXhoXqVWJSS/A39m6hohrSm4JsRmFxi7aknIdp87n1VqH3VgamxmLAZ4Chgoh/sXQTekHPCCEGNnsV29FhBCEedtdtswYGLYqE7OLiWnEar2SGX18sLMw4csqqd3GMHewn/HnjzZGVbuvi6s1784IM9YyfLktlus/2m7swGkInV7yxdaYam2+r08NZXiQi/H+ORWWMr/dO7DWY5Tr9OyNzaKrmw27YzJrtYipSmWXUUvJRyiZsbpxsDLF3da8w8lbVKVSYBLg1/0J9TzyAkIIrunuxuqHhvHO9J6k5Zdy61d76fHif4x6dzP3/LCfd9ee5sutMTz2yxHGL9pG8P/WMO2TnRyIz+b5Cd1Z9+gwxoV4GE/2s/r5otVLlu+9MIYyrZ6X/72gcTYh1APPBlrtW5v0/NKOrr7f4lTKW1R2VALGIvILRfx1L1gq462qNkgDApzIKiyr4bELEOptZ1S8byzPjO9OUk6x8frgYWfBAH8ntkWlM2eQH38fSeZMaj7WZhoWXLRD8fGmaH68sz8edubM//EA80d2rlagfi6riLHvb2XpnvgaC5Ju7rbcMdif+0cF8uiYrtW2BLU6Pf8cSWby4h2sP5XGPcMDSMkrMXZXCgH/d2MY1mYa4jML+WnvOW7q68OKg0nGrNntg/xZvDGaTk6W1WzF3p7es96/h5SSqLQCAt3qCMayi+usF8soKOW/Eync0Nu7Wk1a5Xmw9sxYYa1blLtiDP/DymDseJLBc/NyBGOzgWPAe8B6YIiUchwwBbi+2a/eyoT52BOVVlBrZ0hrUBmsbG3CVqWVmYZbBvjy38mURm25VCKE4NeKQOiD9VGcvOikMS7Eg2V3DzC2sp9OzWfapzt57JcjrD+ZWmvHR1p+CT/sjmfqJzt4Y3X1Heib+l6od3l91Snjz7WJXAIcTcylsExHQakWvaTBYGzH2Qycrc0IqmOSNQWtTk96fqmSGauHUG87dsVkNtmPrj2x7UnDOvCJ346yr466rdpQqwQ39vFh0+Mj+GhmBAtGdCbQ1ZqotAI+2XyW11adYltUOm62Ztw9NICPZkaw7cmR3DU0oIZrgZ+zFcOCXFi295xRp2rS4u3G+52tTXl+Qu36Y5eLwlIthWU6ZZvyIiqDscSsIvwqivgrs1aVdUAXn1erUjlzqiZhBtajN2ZrbsJ1oR4s3R1PdiO7vAd2dmJcsDufbD5rzL5OjfAiLrOIABcrrEw1vLv2NFJKZvf3rebxuGR7LLYWJiy7ewDudubct/RgtQJ8d1tz7CxMeO6P4/R9dT1P/XaUndEZtZ4TSrWGzM/nW84y7O1NPLDsEHopeXBUIP8eOV9t+/G567ozIMCJnKIy7v5+P2YaNeE+9sYO6P7+jiTnFHMsKZcFIzrT/cU1xud61NNxD5Uem9pa68XgQmasNn6tsAycXcU5Aww7BGYaFX5O1RMBpVodidlFtRfvn83CzsLEqLdZmfQJb2CLtT4auyc0HvhSSpkjhFgqpUyvMA2/H2i3y+twH3ukNIhEDqql46Sl8XG0JMDZii1n0uu1/bmYOYP8+HJrLEu2xfDa1NBGP6+vnyMz+/mwbG8C1324jchXxlWL+PsHOLHywaE8tPwQO89mIiX8fjCR3w8mYqpWEeZjh4lahVYvKSzV1lgFutqY0dffkZVHz7PmeAoTenpwIjmXryq2YDY9PqLOsVUGpJkFZfg7W9VaHFmJlJId0ZkM7uLUIvZV6QWl6CVKMFYPUyO8WHcylW1R6Yzo6trwE9ohPo6WvDEtlGdWHOPGz3bxx4JBTfJ9NDdRc31YdQX+Uq2OolJdNZHZhrilvy/zfjhgzAxUCnICvH9TeIPWLq1NpTWMojFWHRcbM8w0KmMRf4iXLceSDOdAW3MTfB0t65W3qBT7rLqD5eNo6FLcdTaz1q3pB68JZOWx83y1PZbHx9Zt61WVZ6/rzsbINN5aE8l7M8KZHOHJ1ztieee/09zc14cl22P5clsM84Z15uNZvbitYtcC4Nr3t7Dl8ZEsv3sAN3+5m88rMmxTwj1ZfyqNMq2ecB97rM00/Hs0mZ/3J6ASBoV7Z2tTHCwNjVxxmYXGcpWBAU6MC/HgWFIO768/Y3wtU7WK/5sRxqQwT4rKtMz9dh9xGUW8c2NPXq7ihnFdqAeP/3aEzi5W+FSxlzuxcGyDf4t1FZJNPauoClSSnl9KRkFZrbsrer1k2d5z9Pd3pItr9WtRZEo+QW42aC7qiI7PLEIvqdHcALArJpP+/o7G7ctDCTl42VsYbbWaQ2MzY4VAnBBCjWG7EmAzhmDsm2a/eitTKQNxJKFx1hYtwbAgF3bHZFYzeW0IVxtzpvXy4rcDiY3y1KrK61NDcbM1nGS7vbCmRsbLxcaMH+7szxvTQqsZGJfp9OyLy2bn2Uz2xmZVC8TMTVQ8eE0gmx4fwYc3RxDgYsXiTdEUlGqZ8KFh1f/E2K7GwvyLKSjV8sPueEK8bIlMyWNCqEe9QdaZ1AIyCkprbdFuDim5hhWksk1ZN6O7u+FoZVpte60jMrOfLy9PNlglTf1kp1GeoLmYadRNCsTA4NvqaWfOvT8e4N4fDxhvv39kl2raaG1FpS2cq60SjFVFCGHsqARqFPEHN1DELzBkxS4W+RwQ4MSe2Mxa7fGC3Gy4LtSDb3fG1eqFWBu+TpbMHeLPioNJHE7IwUyj5t0ZYWQXlnE+r4QJPT14fVUkfx1OYliQCx/cFG58bkJWMbd9vRcrMw0/z7tQUrLqeApPj+/G2BB3DifksD06A28HS7p72DI8yIVevva42JhRptPT1d2GqRHejA9x59oebhSWafl6RyxHE3OxMlWjVglszTX8cGc/JoV5Uq7Ts2DpQQ4n5PD+TeH8vC/BKDU0o4833+yIRSUEn9/am1lL9gCG7seGGlz0esnXO2IJ9bIjzLtmnfKKg4ZOz6rbnpVsiUrnXFZRNT/ZSk6dz6ebe81kwdm02mUtknKKOZdVZNyiBDh8LueSsmLQ+GDsFQx+lD8DGytuMwO6SynjLmkErYiDlSl+TpYcTmh8cfylMizImZJyPfvjmvaadw0NoFSr5/tdtXdm1YUQgh1PjTL+3uPF/2oUE6tVgpn9fPn7/iGsfHAIcwZ2ItzHHj8nS+wsTFAJg2bLzH4+vDO9J1ufGMmj1wZhZaZBrRLMH96ZU+fzCPnffwB0c7eps4MSDJIXWYVlhHjaNW6LskJlenBgywRjle+/vu7Nqx1TjYobenmx/lRqh5S4qMptA/2MW4HXL95+2btENWpVjQCun78jD48OvKzjqIttURmYqMUl1bNcqfg4WBiV9kMrdB8r5ZCCPW2JzywyilZfjEatoqeXXQ29x4GdncguKq9Tp+zBUYEUlGqNOwyN4f5RXXC2NuPlfwzd8cGedjx0TSArj57nmm6u9PN35PFfj7DzbAZTIrx4alw343O3R2cw5eMdFJfpjNZ23vYWPP/ncbILy1gwojN3DvHHwlTNqfN5bDqdztqTqWyLyuDguWw2nU7j94OJrD6ewpbT6eQWl+NgaYKUBgu7cSHu/H3/EPoHOJFXUs5Dyw+x+XQ6CyeHsCsmwyj3FOFrT3RaAcm5JXx5W29eXXmh3OW7uf0a/BtsOZNOTHohdw7xr7G4l1Ly874E+vo51Cjuzyos4/k/juNlb2G0NKvEkE0rpZtHzXqxytrvi5MOuyvez8AKP860/BKScoqJuMT51ahtSinlgYpCfSspZeWZ7g4ubJu3W8J87NkT0/h6kktlQIATpmoV60+lGluTG0MXV2tGd3fjh11xzB/euUkSDxq1ilMvjzPuvfd/fQOrHhxaTUelkmBPOxZOrr6qkFLWm7mqmhK2szBh9UND63xsblE5n2+NYXR3NxKzixvcogRDMObnZNmgn1hjOV+RGWvI3+xq56a+vny5LZYVBxO5Z3jnhp/QjqlczLzz32nGL9rGukeGEVhHXUlLs/rY+WoZFEcrUz68OaLGtkdbsfl0Gn39HOvtZr5a8XW0ZH9cNlLKakX8wZ52xq7BU8l59K+SBanKkEBnPtsSQ15JObYVf9/R3V2xMdfw4YYolszpW+M5Xd1tmBDqwTc74rhziH8N1ffasDbT8OTYrjz5+1H+PpLM5HAv5o/ozPpTqbzy70l+vXcQ8388wD3fH+DX+QOZP6IzB89lG7f1otIKmPTxdlyszbAx0/DfI8P4YVc8n2w+y/boDIQwlPXcOqAT2UVllJTrkVKik5LiitpfnV5SVKYzGo2PD3HnodGBxsL3DadSee6P46Tll7BgRGdWHztvDMRcbMywMtWwPTqDD2dGkJ5fZnR0eXh0YJ3dkVX5anss7rbmtS7u98ZmEZNRWCNJoNNLHlp+iPT8Un6bP7BGzefpipKC7nVkxjzszGtk7HbFZOJgaULXivNLpe3ipS52Gn22kFLqqgRiSCmPVf29vRLmbU9KXolx66q1sTTVMKGnB8v3nWvya94zPIDsonJ+aWR3WFUsTNUcfvFao4LwdR9u4/11Z4xFxfVRVyAmpWT53nOM/WCr8bbFsyLqDdyWbI8hv0TLsCBntkdnMDXCq97Hl+v07InNYnCXlqvpS8krwVStUtT3G6CLqzV9/Rz4eV9CkzW32iP3jezCQ9cYslHXvr+1mr1Ka7H62HnmLz0IYPQIfG9GWLupV0zOKSYyJZ+RHaQuUAhxoxDihBBCL4Toc9F9zwghooUQp4UQDRcYNQIfR0vyS7XkFJXTydESG3ONsRg91NsOITAKXtfG0EAXdHppzJaAwVLHECil1Wkc/sA1XZqcHbuhtzchXra89PcJTqfko1GreHdGOEVlOt5cHcm3c/thaabm9q/3kZhdxBe39q5m2J1TVE5UWgH5pVoiz+czd4g/e5+9hr/uG8xD1wSi10t+2B3Pv0fPs/5UKhsi09h8Op09FWUsqXkldHG15vExQax+aCif3tKbbu62ZBWW8dDyQ9z53X7sLEx484ae/HM0uZoAuquNGdujM3js2iDO5xRX286vnLP1EZmSx/boDG4b1Kmar2YlP+9LwMZMUyNQ+3BDFNuiMnhpUnCtdWaVWfSutQVjGbV3Uu6OyaS/v5OxXuxwQg4alSDEq3aJp8bSPpZurUhzVO4vlUevDUKnl3xQpbixMfTp5EA/P0f+b+1p4prQWVmJvaUph1641rg9smhDFF2eW823O2KbVMMmpWT9yVT8n1nF0ysMSuO3DPDF2dq0mrryxWQWlPL19ljGBruxdPc5vOwtuGto/Y0MRxNzKCjVtmgwlppbgqutWYs0A1zp3NTXl5iMQvY1cVu9vfLItUHMH2HI8k38aDtBz61uFX/Scp2eW7/aYwzEvri1N3ufG83v8we2q4aIyuxDpT9gB+A4MA3YWvVGIUQP4GYgGBgHfFJRw3xJVBZ7J2RXFPF72hmDeGdrM64LMXQ/1rVV2cvXYMZ9sVzF3MH+eNiZ88bqyFoXOt3cbbku1J1vdzS+dkytEiye2QtTjYrZS3YTnVZAF1drnhjblfWnUvltfyLf3N6PwlIt1y3axp+Hkzj60hhm9PGucazrF2/nliV72B6dQU9vOx4eHcRf9w9h//Oj+ef+Ifx270CW3tWfr+b04bNberPp8REcfOFavr69L/ePCqSbuw1HE3N4fdUpRr+3hVXHzvPw6EDuHRHAS3+fqGGyfiI5j9n9fYnNLKzWqb/7mWsadZ7+alssFiZqZvWrWfOVW1TOymPnmRzhWW1HadPpND7cGMX03t7M7Fe7+8WplDxcbcxwukj2RUpJTFqB0T2mkoSsIhKzi41blGCILbp72F6y1dgVH4z18LDFRC0um2k4GCb4LQM68cv+BKLTGt9sKoTg3RlhqFWCe388YPRrbAoqleDh0UHseuZCHdlL/5yk2wtrmPH5LjadTiMxu6hGcWl2YRn74rJ49o9j+D+ziru+32+8b90jw3h1Sih3DQ1gW1QGR+v4W3625SzF5TocrUw5nZrP/67v0aAd0Y7oTIS40BLeEpzP7dgaY/VlB1qa60LdsTHTsHzfudZ8mcvKU+O68e0dhu2hMp2eXq+sY9aXuxuVJW4IKSUv/3OSwOdWGy/AX97WhzHB7thZmNC7U+1SL23FptNpeNlb1Nqe3x6RUp6SUp6u5a7JwHIpZamUMhaIBhouNGqAqlpjAD297Th1Pt8okj1/RGfyS7X8UEctr6lGxYAAJ7ZHVw/GzE3UPHptEEcSclh1LKXW5z54TSD5pdpqAsEN4edsxdK7BgCCWV/uNlgJDfZnaoQX768/ww+74/njvkF0cbXmkZ+PcO+PB3hyXDe+vK3maeRMaj63fb2X8Yu28fqqU6w4mEhaXilB7tb08XNkcBdnrunuxrgQd/ycDBnEY4m5vLUmkuHvbGbS4h18vT2WEC877hoawNoTqTzy85EaDQ3O1ma8fUNPIlPyWXEwyXj7x7N6NSqDnJ5fyl+Hk7mht1etW7p/HUmiVKvn5r4XArWErCIeXn6Ybu62vDI5pM6AL/J8fq31YukFpeSXamt0Ula6K1QW7+v0kqOJuS1Sj3nFG/eZm6jp7mFr3Ne9XDwwKpBf9yfy9prTfFHLRKgLH0dLPrgpnDu+3cezfxzjvRlhzcrweNhZEPvGdfx3IoVHfj5CcbmOvbFZNYpN6+PVKSHM6udrTMfO7u/LJ5ui+XhTNJ/fWv09rT2RwpLtsQwNdOHvw8mM6ubKtT3cGnyN7dEZBHvaNrmDrT5S80ouOWXcxlRmBz5v7ReyNNUwKdyT3w8m8r/rg2sY5XZURnR1Je7NCXy8KZp3/jvNzrOZdHluNQ+M6sJjYxonKXAxP+05V82TckwPNz69pXebmX83RKlWx47oDKb1qr9UoIPgBeyu8ntixW01EELMA+YB+PrWzKRUxdfRErVKcDQxl4k9PenpbU+ZTs+B+GwGdnYixMuO4UEufL09lrmD/Wut5R0a6MzGyDQSsoqqySpM6+XNV9tjefu/SK7t4VZje62buy3jQ9wrascCsLNs3Nzr4mrNT3f35+YvdjPry938cs9A3psRhqe9OR9vOktKbjHfzu3Hsj3neHftGca8v5XXpoSw//nR9Hl1vfE4afmleDtYkJxTzLc74iirWKxoVIIAFyvsLUzJLioju6iMnKJyo2+xWiUY3MWZuYP9yC4q57cDiWw9k15rze/YYDdm9+/EMyuOVVP7nxLuafRRbogfd8dTptPXKhclpWTZ3gRCvGyN5/ySch0Llh5ELyWf3dKrzvrrhKwiTqfmM7p7zUz22hOGWruwi4Ks3TGZOFmZGvUwz6YbdExbIhi74jNjAP38HDkQn01a3uWpGwNDEe+9wwNYezKVA/FNayAY0dWVR0YH8cehJH7Y3bTuyqoIIRgX4sGpV8Zx8uWxvDolpIawXfXHwwOjurD/+dHEvTmBWwZ0qmYDYWNuwu2D/PjvRKrRrBUMW40PLT9MTy87NCqBVi956frgBi8Ap87nsTc2i2u6NRy0NRYpZYdX368nO9Aq3NzXl5JyPX8fTmr4wR2M+0Z24ezr1zG6u+Ez9tHGaPyeXonf0yu5b+lB1p9MrdU4XErJyeQ83vkvkhHvbMLv6ZXGQMzPyZITC8fyxW192m0gBrAvNpuiMl27qxcTQqwXQhyv5WtySxxfSvmFlLKPlLKPi0v927NWZhqu6ebK7wcSKdXqGNXNFScrUz6tECgFWDCiM5mFZXXW8lbKl1ycHVOrBE+N70Z8ZhE/1eFfWpkdu9hFpSGC3Gz48c7+FJXpuPmL3STnlvDE2G68PjWUrVEZzPpyN1N7efHvg0Pwsrdg/tKDvPT3Cf5YMKjacRKzi8kr0eLlYMG0Xl7M7OfDsCAXNCoVpTo9nV2subaHO3MG+TE53JOhgc5MDvNEp9fz7tozLNoQhRCGoLZqsGVpqmZWf1/0EuZ8s7faff38HXllSkij3mdxmY6le+IZ1c211uzusaRcTp3P46YqWbGF/5zgWFIu780Ip5NT7fJLYGgIEMDMi+QupJR8uzOOEC/bakGWlIbawAEBF/QwjcX7lyhrAVdBZgwMxtpf7Yjlm51x1Vp+W5u5Q/z5blc8b66O5Jd7BjZpdXr/yC4cTsjhlX9PEuxpR+9OjRezrA1LUw23DOhkNBlvLncM9mfJ9lg+3XyW924KJzG7iLnf7sfJ2pTbB/vxyM9HeOzaIHzrCfoqeXftGWzMNcxtgkBuQ2QWGjqB2ksBdWvTlCxAXYR42dLDw5bl+xK4daBfC46ufaBWCZbM6UNucTkj3tlEdoVR88pj51l57HyTjrXz6VFtbm3UWDadTsNUo6pW39IekFKObsbTkoCqhT/eFbddMrcM6MTak6msOZ7C5HAv7hoawFtrIjmckEO4jz39/B3p3cmBL7bGMKu/LyYXdcl2drHCw86cbVHpzLyopmlEkAuDOjvx4cZobujtXaOjtbuHLTP7+bJkeyzdPGyZ3rtmfVdd9PC05cc7+zNriSFDtnzeAGb198XDzpz7fjrI1I938t3cvqxYMIhPN5/l403R/Hv0PO625qRclJiIzSis1QEmUqPCzsKEzMIyozK/mUZFkJsNbnbm5KcVGHXsKuniak1xmY6f9tQsfZgW4cWbN/SstQj/YqSUPLPiKJmFZcY60ItZvi8BcxMVk8MN4s2/7E9g2d4EFozoXO/OTHZhGT/vS2BSuGcN1f/t0RlEpxXw7o3Vd6USsopJzi1hfsCFUoRDCdnYmmvwryfoayxXRWbMz9mKccHu/Lg7/rJZI4EhAHp4dCD74rLZUKHO3VhUKsH7M8LxsLNgwdID7UYLysHKlFn9fPnrSDLHk3K545t9lGl1vDEtlHfXnsHf2Yp5wwMaPM6hc9msP5XKvKGNT883hk2Rhr9zXTZN7YWWyg40JQtQz1iY2c+HE8l5l6UDsa2wszDh0ItjiHtzAkdfGsNbN4TSz7/uz4mvoyXzR3Tm3weGEPvGdcS9OaHDBGJgCMYGBDg1WLfZQfgbuFkIYSaE8AcCgb0NPKdRDOnijK+jJUsrgodbB3bCzsKExRXZKiEEC0Z0JimnmL8PJ9d4vhCCoYHO7IiuaS8mhOCZ8d3JKizj8y21Nz+9PDmYIV2cefp3gx1RUwj1tuP7uf3ILCjjukXb+HnfOYYHufDzvIGUavVMXryDReujuG1gJ/Y9P5q3b+hZa4dgXZRq9aTll1Z7X6VaPceScolOu+C/aWGiZlywOwEuVkSnFVCq1dfoZn9kdBDvzghrVCAG8O3OOP48nMyjo4PoW8v5vLBUy9+Hk5kQ6omtuQknknN54c/jDO7i1GApwo+74yku1zFvWM1r1bc74nC2NmViWPVt1KV74hGCakLOh87lEOZjX8NIvDlcFcEYwLxhAeSXaFm+9/IWKs/o40OAsxVvrYlssg+gnaUJn97Si5yich5YdrBFCpBbgruHBaAWgumf7SQus5CXJgXz/J/HyS0q5/2bwmtoudTGu2vP4Ghlyh1DWi4rBrDq2Hm87C1qVWhuT0gpR0spQ2r5+qstxjMp3AszjeqKKuSvD1tzE27q68sv9wwk7s0JtX5tfXIkT43rRoiXXYeruYrPLCQmvZCRXTtMFyUAQoipQohEYCCwUgjxH4CU8gTwC3ASWAPcJ6VseodTLahUgln9fdkbm0VUhen23MH+rD+VZrRDGtXNlW7uNny65WytyvpDAl3ILS7nWC2LmVBvOyaFebJke0ytckcmahWf3NKLABcr7vnxQLUSkMYQ4evAigWGov2nfj/G9M92olYJ/rxvECO6urJ4UzRD39rEkq0xjA1256e7B7B4VkSTXqMhist1rDmRgplGzQ29vLEwVVXrYv5wZgQPjQ5s9DzaE5PJaytPMbq7W50C42+ujqSgVMstA3xJzSth/o8HcbA0ZdHNEfWWD5SU6/h2Zxwju7rUMAePyyhk4+k0ZvXvVO06lpBVxDc74rihlzd+FSKwhaVazqTmN8mCrT6ummAswtcgG/H19thaa0RaCxO1iifGdiUqrYDfDyQ2+fnBnna8PjWU3TFZzPvhQKPboFsTN1tzpvfxpqRcz4OjAnl//RmyCsv44a7+jSpk3HU2k+3RGSwY0RnrBiwwmkJucTnbozOY0LN++yWFmthZmDAh1IO/DiU3q4tXoX1hlLRoZ/ViDSGl/ENK6S2lNJNSukkpx1a57zUpZWcpZVcp5eqWfN0be3tjqlYZs2O3D/bDxkzDx5uiAUOGa/6IzkSnFbC2Qki1KkO6OCMEbDtTuybZE2O7otNL3l9Xu9yRrbkJX9/eF3MTNbd/s4+0/KbVNwe52fDLPQP5vxvDiM8sYuJH2/hqeyxv3hDKmoeHMjTImQ83RjPkrY28t+4MQwNdeOn6HgBM6OnBj3f25/2bwnhqXLdarYEuRq0SBLpaM6GnB49eG8RHMyN4paIm+feDiUZpCwdLE367dyCTLvKArY+U3BLu++kQPo6WvHdTWK1Zp7UnUvhhdzx3DfEnp6ic8Yu2kZ5fyseze+FsXb/t1+8HE8ksLGPesJpbn9/tikMtBLdcVEf2zn+nUangsTFBxtu2nElHL6FXC9SLQTuoGRNC3Ai8BHQH+kkp99f/jOYzb1gAd32/n5VHzzMlotZGnFZhXIg7YT72vLfuDJPCPZusR3JDb28Ky7S88u9JJny4nU9m96rR5XG5eXFiD4Z2cebVlafILyln6V39axXVuxgpJf+39jRutmaXXL92MetOplKukw3aL7V3hBBTgY8AFwzZgcNVL0qtxU19fVhxKIlVx85zQxNqVxTaH5tOp+HvbGVcxSvUj5O1GeND3fn9YCJPjuuKnYUJcwb58fHmaKJS8wl0M6jmv7v2DJ9ujmZssFu1BZ+jlSkhnnZsi87ggVpETH0cLbltoB/f7IjlzqH+BNXiDuHtYMnXc/oy4/Nd3PXdfpbPG9CkLWYhBNN7e3NtdzfeWRvJtzvjWHn0PM9P7MHHs3oRmZLPovVRfLghim92xHJ9mCcalWDl0fOMDXZnaoRhztdWn6XTS7KLykjPL0UIg0VQUamOTafT2HAqjS+3xpB/UQnQzH4+3D8qsEnOKqVaHfOXHqCoTMtPd/c3uhpUJSW3hCd/P0pXNxvKdXru+HYf3T1sWTwrokEJF51e8uXWGMK87RgQUH3rs6BUy6/7E5nQ0wPXKg1ghxNy+PtIMg+M6mKsL9PrJR9uiCLA2YohLaSR2R4yY7WK/LUGho4MKz7fGnNZFccNdQPdSMkr4dudcc06xm0D/fj1XkMnzI2f7eKHXXFtqpqemlfCqytPUVCq5ae7BzQqEAPDiv1AfDYPjAq8ZJG8i+koW5QNUV92oDXp5++Iv7MVP+/r2ObhVzsl5Tp2nc1kRAfbomxrbhnQifwSLf8cMdSFzR3ij4WJmsUV2TGNWsU9wwM4kphbTV2+kiGBzhyMz66zLvn+kV2wMtPw2C9HyK9DRDbU246PZkZwPCmXB5cdbnJpCxjKW16dEsqfCwbjZmvOg8sOMX7RNlYfO8+CkYYayKGBzvxzONkoV/HgskP0emUd7609zcbIVM6mF3AiOZcD8Vlsj8pgY2QaO89mcjQxhw2n0rhlyR56v7qOR385wspj56sFYrP7+7L9qZG8Ma1nky3uXvn3JIfO5fDO9LBaA1adXvLIz4fJKSonOaeY73bFc9vATvyxYFCjtPTWnkghLrOIe4Z3rrF78vuBRApKtdUkNKSUvL7yFM7WptUs49acSCEyJZ8HrwlsMduzNs+MSSlPQd2WPC2JSiWYNyyAp34/xvbojGqFeK3NgAAnRnZ1YfHGaEbUslfdGMJ97Pn3gSE8+sthXvjrBHvjsnlzWmiDbvctza6zmTz6y2FKynX8dHd/o4dbQ+j1hqyYj6MFM/rUrojcXHKLy9kWlc7tg/yULcpmIoTgpr4+vLk60qjurdDx2BWTSalW366cADoCfTo5EORmzdI957ipry+OVqbcMqATS7bF8PDoIPydrbihlzeL1kfx8aboGq4hQwOd+XTzWXafzWR0LZ18DlamLLo5nHnfH+Cu7/bz3dx+tS5IR/dw46VJwbz41wle+fckL00Kbtb7CfOx58/7BvPL/gT+OJjE4k3RfLgxGjdbM67p7sYHN4fjZmvO1qh03l5zmqzCMj7cGN2k17A111BQqkWjVjGzrw/3DO/c7CaXX/Yn8OPuc9wzLKBODbLPtpw1Cq8KAZ/d0ruG+XddSCn5bGsMnZwsGRtc/Tl6vUHOItzHvlqpzdqTqeyNy+K1qSHGkhq9XrJofRSdXay4vgnbrw3RHjJjl5UpEV642JjVa+vTWrw6NRQrMzVzvt5LYnZRs47hYGXKV3P68sTYrqw8msykxds508SCz+YSk17A3d/vZ+aXu1EJwdK7BjQ6EAPDauJEch4PXxPU6I6axrL+CtmibGum9fJCoxLN8kdVaB9sjkzD3ERF/3o6RRVqIoRgdv9OHE3MNbqM3DXU31BgX5EdMzdRc9dQf3aezaxhsde7kwP2liZ8vSO2zl2LUd3ceHdGGHvjsliw9GCd9cu3DfTjriH+fLszrkn+lRejVglm9vPll3sHsv/5a3n3xjB6+Trw56Ek7vxuPzd+touD8Tn0q9Kt2NXNhgEBjkzo6cFtAzsxf0RnJoR6EHjR4kytEng7WHLnEH+2PTmShZNDmh2IbYpM4/k/jzOosxNPjK29E3JndAbv/GeQX+zdyYFVDw1tdCAGBjPxIwk53DU0oEaB/5aodGIzCrljsJ/xtnKdnjdXRxLoas1NVZIHq46f53SqISvWkjqDlyWlIoRYD9T2V3uuKd1jLaGpZKZRc8dgP95ec5oTyblNCiYuFS97C76f258bP9vJbV/v5bd7BzXLzFqlEtw3sgsRvvY8uOwwkxZv58bePtzU16dVlOezC8tYtCGKH3fHY6YxNCTcOcS/SduM53OLWfjPCbq4WrdKvd7Kii3KllBCvppxtTHnmu4GEczHx3Rt8aBZoXWRUrLpdDqDOzu3eBnA1cDUXl68uTqSpbvP0XO6Pa425szs58uPu+N58JpAfBwtmdW/Ex9vOssnm6KruauYadQ8NqYrL/x5nFXHUurM7kwO9yK/RMvzfx7nsV+O8P5N4bVe1J+9rjuJ2cW88u9JotMKeH5C90vaBXG0MuWG3t7c0NubknIdu2My2XAqja1R6WQVXGgMO13H4t7PyZJJYZ6E+dgT7mNHDw+7OtXtG4tWp+f99Wf4eNNZurnb8NHMiFq3/fbHZTFryR4AbhvYiRcn9mjy9uDnW2NwsjLlxlrqYb/dEYerjRnjQy78z37ac47YjEK+ub2v8bUqs2JdXK2Z2LPlsmJwmYKxZor81XacL4AvAPr06dPsgqnZ/Tvx8cZovtwawwc3t2yLb0N0dbdhyZy+3PLVHuZ+u4+f7u7fbB2gQZ2dWfXgEN5cHcnP+xP4YXc8IV623NzXl0nhnrUWPzaFUq2OH3bF8+GGKApKtdzU15dHrw3Cxab+bpWLySsp545v9lFUquO7uf1aXLW8cotyzkBli7IluLmfL/+dSGXDqVTGK5nGDkVMRiHnsoq4uxb9JIWGsTU3YXK4J38dTubZCd2xszDhnuEB/LTnHJ9uOcvrU0OxNtMwZ2AnPtx4obi/kln9fFm25xyvrjzJyG4udZ7bK+vT3loTiY25hlen1PRPVKkEi2aG8966M3yxNYadZzN4b0ZYi/ifmpuoGdHVtdpWtpSSpJxinv3jOFsrukKfGNuV/v6OdHaxblHLOoC0/BIeXHaI3TFZ3NTHh4WTg2ssIHKLy/llXwKvrToFwKPXBvFgLQ0SDXEmNZ+NkWk8MjqoxmtEpxWw5Uw6j157Yccmt7icD9afYXAXp2q1lyuPnScqrYCPZtYvn9Ecrsplr52FCTf38+Wfo+er2TRcLvr5O/LRzAiOJuZwXz2p6sbgamvOezeFs+/Z0SycFIxWJ3n+z+P0f20Dj/96hP1xWY0u9C8o1bIjOoMPN0Qx5+u99Hl1Pa+uPEW4rwOrHxrGG9NCmxyIlWn1LPjxINFpBXx2a+9m1co1ROUWZWO9zhTqZ1igCx525ixXCvk7HGuOG0ypRwQpxfvNZXb/ThSX6/jzkEHg38POgul9vPltfyLncw3Xi9sH+2Npqua5P48bTcXBsHX38uRgzueW8Mmms7Uev5L5Izpz7/DOLN1zjrf/q939zEyj5pnx3fl53kB0esmNn+3i7TWR1V6zpRDCsO34/dx+/Hhnf/ydrXjnv9N8tyu+xeWgdsdkMuHD7RxOyOH/bgzjrek9jUFSuU7P+pOp3Lf0IH1fW28MxOYM7NSsQAzgi60xWJiouW1gzQ7+73fFYapWVXNP+GRzNDnF5Tx7XXdjkKzTSxZtiCLIzZoJrbBIbfMC/rZq459bsR//9fZYXpjYo7VfrgZjg915bWooz6w4xtO/H+P/bux5SVkdO0tDK/ZtAw01D8v3JfD34SR+O5CIjZkGJ2tTHKxMcbA0fDlameBgZYqNmYYzqQUciM8mMiUPvTQURga6WjOxpwfjQzwY1swTu8HOwtAs8X83htUoeG0pVilblC2KWiW4sY8PH22MIimnuMkdUQptQ35JOUu2xTA00LmaYbVC0wj1tiPM244fdxs69YQQzB/emV/2JfD5lhhemhSMo5Upb0wL5aHlh3nxr+O8MS3UeP7u4+fItAgvvtgaw/Te3vXKizw1rit5JeV8uvkstuYmddr+9PN3ZM3Dw3jln5N8svksm06n88FN4XRthCZYcxgS6Mzqh4by2ZazfLL5LJsj03hsTFCtlk5NQa+XfLrlLO+uPY2fsxU/3NmPbu62SCk5lpTLioNJ/HMkmczCMhytTPGytyA2o5B+/o68eH3zGhmiUvP563ASs/t3qpHdyysxGJ1fH+ZpTDRUCrxOi/CuVsb079FkotMK+HhWrxZR3L+YNg/GpJR/AH9c7tf1srfg+p4eLN97jgevCcTOouUseRrLzH6+pOWV8v76M7jYmPH0+Ev3zRRCEOZjT5iPPc9P6M7KY+c5mZxHVmEZ2UVlpOaVEHk+j8zCMkorVldWpmoifB24f1QgvTs5EO5j3yJ/jw/WR/H7wUQeGR3UJM+1ppBXUs62qAzjSVOhZbixtzcfbYxi2Z5zPF5HQa1C++LLbbFkF5XXWQCt0Hhm9+/Ek78fZV9cNv38HfFxtGRqhBfL9p5jwcjOuNqYMznci6jUAhZviibQzYY7q7iJPD2+G2tPpvLyvyf5+va+db6OEIJXJodQULFlaWuhYXb/2vUXrc00vDW9J6N7uPHMiqNc/9F2Hh8bxJ1DahaktwTmJmoeHh3E5HAvXvzrOC/9c5KXK7yS+/s70s/fkb5+jo3evswpKuPRX46wMTKNiT09ePOGnuQVl/Pxpmj+OJREdFoBphoV13Z3Y2qEF1FpBbzzXyQ9PGybvS2YW1TO3d/vx87CtNZA95d9CRSV6bh9kJ/xtv9bexoBPD72gsCrrkJXrKubDeOb0DTQFNo8GGtL5g3rzJ+Hk1m6J54FI2q3XGhtHrymC+kFJXy25SwuNmbVJvSlYmWmqVdCorhMR25xOS42Zi0+mX/dn8CiDVHc2NubB69pvb/t+pOplOn0XKdsUbYoPo6WjA9x54ttMUyJ8FJkLto5mQWlfLUthvEh7o3W/FOom4lhHryy8iRL98Qb/UsXjOzC7wcTWbItlmev6w4Yapii0vJ5beVJAlysjI4HrrbmPDw6kFdXnmLDqVSu6V63abVaJXh3RhgFpYaifmszDZPD625yuraHG718h/HMimO8viqS9afSePfGsFbLhvo7W/H93H7sic1iZ3QGe2Kz+H53PEsqujy7udvQryI46+fviIOlKfklWvKKy8kv0ZJRWMqv+xNYdcywhe5gaYKztRl3f7ef3bGZSAl9/Rx4Y1oo14V6YG6i4vk/jvPrgUTGh7jz7oywZtVVa3V67l92kKScYpbdPQC3KkKuYDBHX7Q+igEBjoRWaFMeScjhr8PJ3D+ySzUD8X+OJHM2vZBPZrdOVgyu8mCsh6ctQwOd+WZHHHcO8W+Up2JLI4Rg4aQQMgvKeOXfkzhbm9Y7EVsSC1P1JXfD1Ma2qHSeWXGMoYHOvF4lfd8arDp2Hk87cyKULcoW56VJwew8m8njvx7h9/mDWmX1rdAyfLzpLMXlugYNkhUah6Wphht6efPTnnO8OLEUJ2sz/J0NulLf74pjUpgnIV52qFSC928KZ/qnu3jgp0OsWDDIKFY6Z5Afy/clsPCfkwzuUn93q4laxSezezHn67089ssRpITJ4Z51njudrM34/Nbe/HYgkYX/nGTsB1uZFObJtF7e9PVzaPFzrhCCAQFODAhwAgzNXUcTc9kTk8me2Cx+O5DI97viG3Ws7KJyfj+QiLudOQ9fE8TUCC98nQyBZEZBKXd9t499cdk8eE0gD18T2Ozg5601kWyLyuDNaaH0uchovKhMy70/HECjFrw7IxwwlNW8tsog8HpvlSyaVqfnww1RdHO3YVxw62TF4Cot4K/KvGEBpOeX8teh5DYbg7piQvf3d+TxX4/w7Y7YWs1oOwJHE3OY/+NBurha88nsXpi0kDpxbeSVlLP1TAbjQxUvytbA1cachZOCOZyQw5fbLr8un0LjSMop5sfd8Uzv7d3hM5hCiHeEEJFCiKNCiD+EEPZV7ntGCBEthDgthGj1uuLZ/X0p0+mNGSCA567rjoOlKXd+t89YzG9pqmHJnD6Ym6i587t9RoNsE7WKl64P5lxWEUsaMX/MTdQsmdOHMB97Hv75MHd/f4DkehrMhDDUdq55eCjjQzz4+0gyMz7fxbB3NvH+ujPEZxZe4l+gbsw0avr6OXL/qEB+uLM/R/43hj/vG8xz13VnaGD12mArUzVPjevGtidHcuR/Yzj7+nUcWziWdY8O56HRgcZA7NT5PCYv3sHRxFw+mhnBo9cGNTsQ+/1AIl9ui2XOwE7c3K+6DJaUkmdXHONMWj6Lbo4w1sSuO5nK3tgsHrk2qJpn8t9HkonJKOTh0c0PDBvDVR+MDeniTA8PW77YFtOmAZC5iZov5/RhUGdnXvrnJNM/20nUZRJzbQm0Oj2LN0Zxw6c7sTHX8M0dfS+p0LMxLNtzjjKdnonKFmWrMSnMk7HBbry37gzRaR3n83g1sWi9wXz6odFBDTyyQ7AOCJFS9gTOAM8ACCF6ADcDwcA44BMhRKtuZQS62TC9tzefbTnLjugMwLD9+PXtfSko0XLnt/sprLAB8rS34MvbepOaV8q9Px4wdjsOCXTmulB3Fm+KblTnvo25CT/PG8Bz13Vne3Q61763he92xtVri+TtYMm7M8LY99xo3psRhq+jJR9ujGL4O5u58bOdLNt7jrw67JdaCq1OEnk+jxWHktgWlYGtuYa7h/qz5YkRnHh5HPNHdMbH0RI7C5NaM+xrT6Rww6c70er1/HrvwEtStj+ckMMzfxxjYIATz9fSnPfD7nj+PJzMo6ODjM1pWYVlvLryFF0uEnjV6vR8tDGa7h62jOnRelkxUIIxhDBYJEWnFbDpdFqbjsXW3IRv7+jLezPCiMkoZMKH2/lwQ1SrtDG3JGdS85n26U7+b+0Zxga7s/LBodX221uD5JxiFm2IYnR3VyJ8HVr1ta5mhBC8OiUUK1M1j/16FG0Lt7grXBrRaQX8diCRWwZ0uiK6XqWUa6WUlUaHu4HKzp/JwHIpZamUMhaIBvq19nhenhxMZxdrHlp+mLT8EgCDKfXsXkSm5PHgskPGQCnC14F3pvdkb2wWL/x53Cgp9NwEQ0Dw2sqTjXpNjVrF3cMCWPfIcHp1cuB/f59g+mc7OZ1S/2LIykzDtF7eLL1rADueGsUTY7uSWVjGMyuO0ffV9dz/00E2RaaRWVB6SYkHnV6SkFXEljPpfLMjlmdWHGPAGxt4esUxpJS8MS2UPc+O5rkJPejkVL9RvZSSjzdFc8+PBwh0tebv+4dcUs1jWl4J9/ywH1cbMz6uZWfm4LlsXvn3JNd0c+W+kYZa5tyicm5ZsofUvBLemBZaTUz2r8PJxF6GrBhc5TVjlUzo6cHbayJZtCGKoYEubao6LoRgWi9vhgW58NLfJ3hv3RlWHTvPWzf0JKyd1UVpdXq+3BbL++vOYG2u4eNZvS6b1tcr/55ELyX/a2a7s0LjcbEx4+XJITyw7BBfbItps2YXhZq8t+40FiZq7htZuyRCB2cu8HPFz14YgrNKEitua1UsTTV8MrsXkxZv5+Hlh/nhzv6oVYKRXV1ZOCmYFy7yj5wc7kV0WgEfbYwm0M2au4YG4GVvwX0juvDuujNsj8pgSGDjJH58HA2aX38eTuKVf08x4cNt3Du8M/eP6tKgu4KnvQX3jezCghGdOZKYy4qDifx9JJl/j54HwEQtcLUxx83WDDdb8ypfZrjbmuNqa46NuYZzWUXEphcSk1FIbEYBMemFxGcWUVZlUWZjpmFYkAtzBvk1qV4tu7CMhf+c4M/DyUwK8+TtKlpjzaGkXMe8Hw6QX6JlxYKa7jYZBaUs+PEgHnYWvDcjHJVKUFCqZc43e4lOK+DLOX3oW6W2zJAViyLY05YxtXiNtjRKMIZhb/+5CT2476eDvL7qVLONWVsSZ2szFs/qxZTwVJ7/8zhTP9nB3MH+PDomqNmK/S1JdFoBj/96hMMJOYwPceeVKSE4WzdNELa5bD6dxurjKTwxtquip3SZmNjTg9XHz/PBuihGd3czFikrtB3HEnNZdSyFB68JxOkyzb2WoDH2eEKI5wAtsLQZx79k27yqBLnZ8PLkEJ787SgfbYzi4Yrt4FsH+hGbUcTXO2Lxd7ZiToU8wiOjg4hOK+D1Vafo7GLNyG6u3D0sgF8PJPLSPydY/dDQRtfSCiGYGuHN8CBXXl15ksWboll17DyvTws1FtM39PxK8+vnJ/RgR3QG8ZmFpOSVkpZXQmp+CWdS89kelUF+qbbO45ioBZ2crPB3tmJUd1cCnK3wd7YmwMUKJyvTJtXsns8tZsm2WJbtPUdxuY7HxwRx38gul1T3K6VB7PxwQg6f3dKrhri4VqfnwWWHyC4qY8WCQdhZmlBcpmPuN/s4npTLJ7N7MfwiPc0/DiURl1nEl7f1uSw1yW1/VW8nTOjpwcFz/ny1PZYIX/vL1tHYEKN7uNEvwJE3V0eyZHss/51M4c1pPVtNQLUhdHrJ19tjeWftaSxN1Xw4M4Lre16+AvqSch3/+/sEAS5W3DW05WRAFOpHCMHLk0PYHbOVx389wor5g5rsDafQsrz9XyQOlibc3cHmQUP2eEKI24GJwDXygn1IElBVp8e74rbajt8itnlVubG3N7tjMlm0IYp+fo4Mqjj/PjehO+eyilj4zwl8HC0Y1c0NVYVUxbnPinhg2YUOy/9d34M7v9vPG6sieWFi9yadMx2tTHlvRjhTI7x47o/j3PzFbm7q48Oz13XHzrJxtbmmGhUju7nWeX9hqZbUvBJS80pJyy8hr7gcb0dLOjtb42lvfsnzPSa9gM+3xLDiUCJ6aahHvXd45xYRrv1mRxy/HUjkoWsCGRdSc3fmvXVn2Hk2k7en9yTY046Sch13f7+f/fFZLLo5gjEXdUlGp+Xz6spThHnbMbp73X+zlkQ5m1bh6fHd6OfnyNO/HyMyJa+th2PE1tyE16eGsnzeANRCMHvJHh5afohNkWmUlOsuyxjS8kr4cXc80z7ZwWurTjE8yIW1jwxjUljd7detwWdbzhKfWcQrk0PaRIrkasbZ2oxXJodwNDGXz7cq3ZVtyc6zGWyLymDBiC6t3ihzORFCjAOeBCZJKYuq3PU3cLMQwkwI4Q8EAnsv47h4dUoInV2sebBK/ZhaJVh0czg9PG154KdDnEw2XDcqOywtTC90WF7T3Y3bB/nx9Y5YFv5zsll1W0MDXfjv4WHcMyyA3w4mcs17WyrOiZfeOWllpiHAxZqBnZ2YHO7FrQP9GNnVFV8ny0sKxI4l5rJg6QGueW8Lfx5OYmY/XzY/PoL3W8hBYHtUBq+tOsXYYDceqsUuae2JFD7ZfJaZ/XyY0cfHYNG39CDbozN4e3pYjWaBtPwS5ny9DxO1isWzel2265torG9he6NPnz5y//79LX7ctPwSJn64HUtTNX8/MOSSzbZbmpJyHR+sj+L7XXEUlekwN1ExpIszo7q5MaqbK+525g0fpJHEZxby34kU1hxP4VBCDlKCn5MlD40OZEq412WXk4jLKGTMB1sZF+zOhzMvr8F7QwghDkgp+7TlGFprTlzMfT8dZO2JFP55YEireI0q1I+Ukqmf7CQ1r4RNj4+4pDqb1qQ5c0IIEQ2YAZkVN+2WUt5bcd9zGOrItMDDUsrVDR2vpefE6ZR8Jn+8nV6+Dsb6MYDUvBKmfLwDgD/vG2wUGD2ckMNNn+8izNuer27vg7WZhtdWnmLJ9lhm9vPhtSmhzS4MP56Uy8J/TrAvLhswNBZcF+LO+FB3uri2bRmBlJJdMZl8uvks26IysDHXcNvATtw+yL/J/sb1EZ9ZyKTFO3C3Nef3BYOqSVKA4Zpx/Ufb8XO24td7B6JRCR5YdojVx1N4bWpIDbeDwlItN32xi7Nphfx8z4AWF1Cub04owVgt7IvLYuYXuxnZzZXPb+nd6l0UzaFUq2NPTBYbI9NYfyqVxGxD23Swpy2jurkyqpsrYd72TRq7lJLIlHxjABZZ0b0T7GnL2GB3xoW4E+hq3SaaXlJK5nyzj4Px2Wx8bDiuti0XdLYEV1MwlllQypj3t+Jhb84fCwa3qpacQk3Wnkhh3g8HeHNaaA0NpfbElTonftmXwJO/H+WR0UE8NPpCJuZkch43frYTfxcrfrlnoLG2958jyTy0/BDeDpYsujmccB973l17hsWbopkW4cXb03teUuYpIauI/06ksPp4CgfiDYFZF1drxocYztk9PGwv2zk7t6icXTEZfLYlhsMJOThbm3HXUH9m9fdt8cTGrrOZPPzzIUq1ev6+b4hRr6yS4jIdUz/ZQUpeCf8+MAQPOwse++Uwfx5O5oWJPWq43Wh1eu7+fj9bzqSzZE4fRnVr+aJ9JRhrBt9UpJKfGNvV2ALbXpFSEp1WwIbINDaeSmN/fBZ6Cc7WpgwLdMHO0gQpDfVeemn4MvxsMG7VS4lWbzBqjc8sQgjo28mRMcFujA12bxdF8quPnWf+0oO8OLEHc1vQMqqluFIvPHVR+f947NogHqhla0ChddDpJeMXbUWrk6x9ZFi7rtu7UueElJLHfjnCH4eTWHpnf2P9GMCmyDTu/G4fo7q58fmtvY2Zs/1xWTy0/DApeSU8em0Q9w7vzCebonl33Rkm9PTgg5vCW2RRk5JbUhGYnWdvrOE60MnJknEh7owP8SDM265FAjMpJSl5JZxIyuPk+TxOJOdyIjnPmBTwdbRk3rAApvf2bvHMrU4vWbQhio82RuHvZMXiWb3o4Vk9Q1/1f/TtHf0Y2sWZZ/84xvJ9CbVe06WUPPvHcZbtPcfrU0OZ1b91Fjn1zQmlgL8Obh/kx6FzOby79jRh3vaNbkduC4QQBLrZEOhmw73DO5NTVMaWM+lsOJXG1qh0Ssv1qFQCtUqgEqASApWo+F1l+F0tBP7OVtw7vDOju7u1aCr5Uiks1fLyvyfp7mHLbQNrN9FVuLyMD/Xg+jBPPtwYxegebnT3ULYrLwd/HU7iTGoBi2dFtOtA7EpGCMErU0I4kpjDg8sPs+qhIbjaGDL1I7u58r/rg/nf3yd4fdUpXqgQHe3j58iqh4by/J/Heee/02w9k877N4VjbqLmtVWnKNPqWTwr4pLrYN3tzJkzyI85g/zIKChl3clUVh9P4attsXy+JQZPO3NCve2wNTfB1sKk4rumyu8aw/eKn63NNEgJsZmFnEg2BF0nk/M4kZxndBoQAvydrAj3sWd2/06EetkxIMCxVT6fKbklPLj8EHtjs5jWy4tXJodgZVYzjPlxdzwrDiXxyOgghgU689LfJ1i+L4EHR3WpNbnyyeazBhP4EZ1bLRBrCCUzVg9FZVqmfryT9IJS/nlgyBUhqtgReWPVKT7fGsPv8wfRu1P7FHi9UrMA9ZFdWMa172/F1caMv+5Xtitbm8JSLeMWbcXW3IR/7h/SLssnqnKlz4nK+rHenRz4fm7/asryC/85wTc74nhlSgi3DriwgJRSsuJgEi/+dRyNWsVbN4SSll/Ki3+dYHiQC5/f2rtVagBzi8pZdyqV/06kcC6ziLyScvKKyyksq78BTCUMIrSVwuMmakGQmw3BnrYEe9oR7GlLNw/bGrVarcHGyFQe++UIpVo9r0wO4Ybe3jUeo9NLFq0/w0ebohkR5MJXc/ry1ppIPt8aw91D/Xn2uppdrH8cSuSRn48wJdyT928Kb9UtXSUz1kwsTTV8eksvJi/ewYIfD/DLvQOVDr7LzOmUfL7aHsvNfX3abSB2teJgZcprU0O454cDfLwp2qi/pNDyaHV67v/pIEnZxbx9V1i7D8SuBrq627BwUjBP/X6MxRujq9WPPT+hBwlZRfzvr+PYmGmYEmGQShJCcENvb3p3cuCh5Ye498eDzOznw4sTe/DKypPM/XYfS+b0aXEtSTtLE6b39mb6RQGMVqcnv0RbEZxpjUFaXkk5ucWG28p0erq4WhPsaUugq81lF0Uv0+p5a00kX22PNbgfzIqgs0tND9aswjIeWn6IbVEZTO/tzSuTQ1i0IYrPt8Zw64BOtQZiO6MzePK3owwMcOLt6WFt6nGsBGMNEOBizbszwpj3wwEW/nOS16eGtvWQrhqklLzw53FszDU8Na5bWw9HoRbGBrszJdyTxRujubaHG8Gedm09pCsOKSUv/HWCTafTeX1qKAM7Nyz2qXB5mNHHh90xWSzacIa+/g4M6mwoZzFIXkQw5+u9PPzzYTafTmPh5BDsLAxF7H7OVvw2fxDvrzvDp1vO4u9sxZ2D/fl6Ryy3fbX3snj7giHr5WBlisNFavXthfjMQh5YdoijibnMGdiJZ67rXmvm8OC5bO5bepDMwjLenBbKTX19+GxLDIs2RDGjjzcLJwXXCLROp+Rzzw8H8He24rNbe7ep8w4oOmONYkywOwtGdOanPef4ZX9CWw/nqmHFwST2xmXx9Phu7fZkoQAvTQrGwcqUx3892u59VDsi7aGeRaF2KvXH/JyteGj5YdLzS433WZlpWD5vAI+MDuKfo+cZ/8FWdp7NMN5volbx5LhuLL2rP0WlOr7bFUeYjz2HEnK45au95Ba1rrl3e+efI8lM+HA7cRmFfHZLbxZODqkRiEkp+W5nHDd9vgu1SrBi/iCGBbmwYOlB3loTyaQwT96Y1rNGJjklt4Tbv9mLpZmab+7oZwyS2xIlGGskj43pyuAuTjz/53GOJ+W29XCueI4k5PDSPyfo5WvPjb19Gn6CQpthb2nK61NDOXU+j482RrX1cK4o/jyUxDv/nWZKuCdPjO3a1sNRqAUrM4N/ZV5xOXd/v98oCAuGzNNDowNZMX8Q5iZqZi/Zw2srT1YT6x7U2ZnVDw1lZFdXDp3LQaeXHEnIYeaXu8ksKK3tJa9oist0PP37UR5Ydoiu7jasemgo40JqumcVlmp5cPlh/vf3CYYFuvDnfYPZHp3B6Pe2sOl0Gk+M7cp7M8Kq1fIB5JeUc/s3e8krLufr2/u2m1pwJRhrJGqV4MObI3CyMuXeHw+QU1TW1kO6Yjl4LptbluzB3tKEj2b1UupjOgDX9nDjhl7efLQxmk82R9NRG4PaEzujM3jityPtop5FoX66uduy6OYIIlPyuP6j7Rw8l13t/jAfe1Y+OJRb+nfiy22xTPl4B6fOX3B5cbAy5fNbe/P61FDMTQyX5ZPn87jx813sjM7gauFMqqEp4uf9Cdw3sjPL5w3A26GmtFJ0Wj6TP97ByqPJPDG2K3OH+HPzF7t5c3UkQ7o4s+6R4dw3skuNjs5ynUF9PzqtgE9v6d2uyiqUYKwJOFmb8ektvUnLK+Wh5YebZWehUD8H4rO47au9OFqb8vO8ge1m1XI5EUK8I4SIFEIcFUL8IYSwb+sxNYY3poUyOdyTt9ec5n9/n0CnzI9mczoln3t+bD/1LAoNMy7EnRXzB2OqUXHz57tZtvdctfstTNW8MiWEb+7oS2ZhGZMX7+DzLWeN80QIwaz+vvz7wBCjVExMeiGzluzh1q/2cCY1/7K/p8uBXi/ZFpXO/B8PcN2ibWQVlvP93H48MbZbrR3a/xxJZtLiHWQXlvHejHBOp+Qze8keyrR6vr69D1/c1qdWbUwpJc+sOMa2qAzemBbKsIuMwdsaRdqiGSzdE89zfxznoWsCeeRapYOspdgXl8XtX+/F1dacZXcPaFFrp9amJdv4hRBjgI1SSq0Q4i0AKeVTDT2vLedEJXq9NLaSjw12Y9HNEe3Wrqe9kppXwtSPd6CTkhULBnfYBcmVLm1RFzlFZTywzNDVN7OfLy9N6lGjCz+rsIxnVxxjzYkU+vk78t6MsGoZoFKtji+2xPDtzjgyCy/swvTp5MAns3u1OweS5pBRUMpvBxJZtvcc8ZlFOFR0fM4b1rlWncsyrZ7XV53i251xhPvY09/fkaV7zlGm0zN/eGfmj+hc77nm/XVnWLQhiodHB7ZZ57eiwN/CSCl54rej/HYgkXuGB/DEmK6KAOMlsicmkzu+3Ye7nSEQc+tgJ5vWuvAIIaYC06WUsxt6bHsIxir5enssr6w8SW9fB5bM6YO9pdKA0RjyS8qZ8fluzmUW8su9A9vVNkpTuVqDMTDoXf3f2tN8uvksEb72fHZL7xrnNCklvx9M4qW/TyAwNMJM61Xd81dXkTX6bMtZdsdkGW/3sDPnr/sHG8VmOwqVnpU/7TnHfydSKNdJ+vk7Mru/L2OD3esMps7nFrNg6UEOncshzMeewlIt0WkFjOjqwkvXB+PnbFXnaxaUanlt5SmW7T3Hjb29eXt6zzbb8m/XwZgQ4h3geqAMOAvcIaXMaeh5bX3hKdXqWPjPSX7ac45+/o4snhlxRaxW2oJdZzOZ++0+PO0NgVhH/Du2YjD2D/CzlPLHhh7b1nPiYv49msyjPx/B18mSb+/oW2vth8IFynV65n67j51nM/n69r4Mb2fbKE3lag7GKll17DyP/3oEKzMNn87uRR8/xxqPScgq4rFfjrA3LovrQt15bUpord3jGQWlfLD+DD/urr79+du9A+ndyaFd1xRmF5bx+8FEftp7jpj0QmzNNdzQ25tZ/XwJdKvf1Hx7VAYPLj9EVmEZlqZqisp0eNlb8MLEHowNdqv3fe86m8kTvx0hKaeYeUMDeHxs1zYVp27vwViH3ZIBg3rvsyuOY2Wm4cOZ4UadGYXGsSM6gzu/24ePgyU/3T2gXdkwNYWmXniEEOuBmi1C8JyU8q+KxzwH9AGmyTomqhBiHjAPwNfXt3d8fHyTx96a7I7J5O7v92NhoubbO/rV8JBTMCCl5MnfjvLrgUTent6TGX06fgdxc4IxIcQrwGRAD6QBt0spk4XhirsIuA4oqrj9YEPHaw/XidMp+cz7YT/JOcW8eH0wt/T3rRFA6PSSL7fF8O7a0zhYmvLOjWF1BuNSSr7aHsurK09Vu/2FiT2YFuHVbmSApJTsi8vmpz3xrDqeQplWT+9ODszq58uEnh71bilKKdl5NpNvd8ax7mSq8XYTteDuoQHcP6pLvcK4xWU63loTybc74/BzsuTdGWH07lQzEL7ctOtgrCoddUvmTGo+8388QGxGIY+N6cr84Z2VDsBGsC0qnbu+24+/sxU/3tUfZ+uOGYhBy2cBhBC3A/cA10gpixrznPY0J6pyOiWf27/ZS36Jli9u7V3NWFnBwAfrz/DB+qgrqg61mcGYrZQyr+LnB4EeUsp7hRDXAQ9gCMb6A4uklP0bOl57mRO5ReU89PMhNp9OZ0Yfb16uRTML4ERyLo/8fJgzqQXM6OPNbQP9CPa0rTX7I6Xkj0NJPPrLkWq3T+zpwU19fejr53jZ6zULSrUkZBWxu2IrMiqtABszDVN7eTGrvy/d3OtfjBWVaVlxMInvdsYRlVZQ7b7BXZxYOCmELq411ferciA+m8d/PUJsRiG3D/LjyXFdW9zRoLl0pGCs3i2ZhrIA5eXlJCYmUlJSUtvTWxW9lOQUlVNUpsPcRIWjpellCcjMzc3x9vbGxKTtReuawubTacz74QABzlb8dPcAHNvJaq65tHAB/zjgPWC4lDK9sc+r7cLTlnOiKjq9JKOgFK1e4mBp0qonx442J37Zn8CTvx1lem9v3mnDepaW5lLnhBDiGcBXSjlfCPE5sFlKuazivtPACCnl+fqO0Z7mhJSGmsC8Ei2mGoGTlVkNDSzD4yR5JVoKSrVIacgGWZpqsDRV1/n4wjIdObWIxKpVApWAvHI4nW+Ki60lXg6WeNqb421via2FpkmfN51ecj63mHNZRSRkFVV8v/B71WaDMB97ZvfzZWKYR4PzPT6zkO93xfPTnnMUl1f3y3SzNeP5CT2Y2NOj3rGWanV8sD6Kz7ecxcPOgnem92x3C78296ZswpaMFlha13GklF8AX4Bhkl18f2JiIjY2Nvj5+bXJCU1KSVZhGcm5JahVAl9HSyxb0UBVSklmZiaJiYn4+/u32uu0NJsi07jnhwN0cbVm6V39201avR2xGDAD1lV8jndLKe9tzoHaek5URavXE59ZRGGpFmc7C5ytTVt8TB1tTqw/mcqzK44xNNCZN6aFtvn/qD0ghHgNuA3IBUZW3OwFVLU/Say4rUYwdtGivcbx23pO5BaXk5BVhEoIfJws6zTZ1ur05BaXk11UTlGZFonA3FyDg6UJtuYmNRb7Or2e9Pwy0vNLqHpxFIB9cT4Z+cm89E9ctedYm2nwsrfA094cLwcLvOwt8XKwwM3GjKzCMs5VBFyVwVZSTjHlugtHV6sEXvYW+DhaMCbYDR9HS3wdLenqZtNgLZiUkm1RGbzz32mOXSSkbqpRMSDAiVFdXZjex6dBI/LjSbk89ssRTqfmc3NfH56b0P2y2Em1JJclGJNSjq7v/ootmYkYtmSanaorKSlp04uOEAInazMsTNWcyyzibEYhHnbmOFm1/EXH+HpOTqSnNzp50uZsOJXK/B8PEuRuzY939le67GpBStmlpY7V1nOiKhqVCn8nKxKyizifW0y5To+HnXmLjq2jzInc4nLeWHWK5fsS6OFhyyeze7VpYfHlpKHFuZTyOeC5iszY/cD/mnL8hhbtbT0n7CxMMHO1Jj6ziNj0Qjzsa79GaNQqnKzNcLI2o6RcR3ZRGTlF5ZzLKketEthZmOBgaYqlqRohBGqVCnc7cxytTMkoKKWgREuJVocE1BY2dHEyY87ATng5WOBiY0ZmQRmJ2cUk5RSTlF3MoYScWrNr9pYm+DpaEuxlx/hQD3wrAi5fR0s87MybrCSQV1LO//46wR+HkqrdrlYJburrw6iurgzq4tSo7Hm5Ts8nm87y0cYoHK1M+eb2vozs5tqk8bQX2nwjtWJL5kkMWzKNqo1p4HiXPqhLxNJUQxdXaxKzi0nOKaawVIu3g2WtKeZLpT2838ZQptXzw+543lx9ih4etnw/tz92lh1r5dJRaU+fEVVFxvh8bgkZBaWU6/T4OFi26JZ+e3q/tfHfiRRe+PM4GQWl3DM8gEdGB11VWmwNLc6rsBRYhSEYSwKqdjV4V9zWLNr6M2JuoqaLqxUJWYZrRHFFh2Bd88DcRI2HnQXutuYUlGrJLionp6icrMIyzDRq7C1NcLA0wVSjxlSjwrNCm65cp6eoVEthmY4sKfl+dzxSgqlaZdDqCnDktoGd6N3JAUtTDQWlWpJziknJLcHJ2hQfR0tsWyDDlFNUxnc743l//Zka9z0yOoixIW50dbNp0v8lKjWfR385wrGkXCaHe7JwUnCHXty3eTBGC27JtCc0ahWdnCxJLyglNbeU6PICfJ0ssahy0v3ss8+wtLTktttuY8SIEfzf//0fffq0aSd4iyOlZN3JVN5YHUlsRiHDglz4aGZEuzBmVWgbhBB42Jljohaczy1Bqy+kk5MlS7744oqeD2n5Jbz09wlWHUuhu4ctX83pS6h3x9URaw2EEIFSykqD08lAZMXPfwP3CyGWYyjgz22oXqy9o1YZrhFp+aWk5pWQX6LFydoURytTY5a0rmuEjbkJOr2e3GIt2UVlpOaVkJpXgrWZBntLU+wsTFCrBCZqFXaWpthZQq6tOYdfGMO+uCz2xmWxJyaTTzaf5aON0WhUghAvO/oHONLf35E+fo41gjCdXlKu01Om01Ou1aPVS8q0esp1esp1suL7hZ8LS7WsOZ7CikM1Y+Y7h/jz4KjAZi3IdXrJkm0xvLvuDNYVkiHjQz2a909oR7R5MNaSWzLNIj8FfrsDpn8LNm4temghBK425liaajiXVcTZtAI87S2Mxer33tvhY856OZ6Uyyv/nmRPbBadXaz45va+jOjq0uarUoUGaMU5UYkQAhcbc0zUKhKyi4lJL2TuXXdjqrnyMkRSSn47kMirK09RXK7jibFdmTcs4KrZlmwibwohumKQtogHKk+SqzB0UkZjkLa447KOqpXmhBACN1tzrM00pFcEZWn5pThYmOBsY1bvNUKtUuFoZQjeyrQ6sovKyS4qIzG7iOQcwzamuYkKjVqFiUqFVqdHoxaM7uHG6B6G91BQquVAfDZ7YjLZG5vF19tj+XxLDCph2E4t10lD8KXTc6m9fiO6uvDmtJ6X5KwSl1HIY78e4UB8NmOD3XhtamiH7sKvSpsHY23Olrfh3G7Y8hZMfO+SD1dYWMiMGTNITExEp9Pxwgsv8NRTT3HD9Bv5d9UqTEzN+fSrbxkcEcLLLy/E2tqaxx9/3Ph8vV7P3Llz8fb2ZuHChTz99NNs3ryZ0tJS7rvvPu65555LHmNrk5Jbwjv/nWbFoUQcLE15ZXIwN/fzVS4+HYUWnBN1zYcZM2awevVqLCws+PKb7yi39+ShJ5/Dyd6W55+5IDPY0edDQlYRz/5h8MPr08mBN2/o2WBr/tWMlPKGOm6XwH2XeTgXuExzYtWq1WjMzHh90Zd4+/nz1Ydv4+pgx7NPP2l8fn1zYsGCBdx6x11kF5VVFP9fiKBS80q5/n//YWOmwdXWDDdbc9xtzXG1NcfN1ow7h/hja2FCck4xcZmF5JdoMVGrMFEbArnE7GISsg2F/Hkl2nrfo6uNGV3dbRga6Ex/fye6e9hekr9qTlEZv+5P5L11ZzBRCz64KZzJ4Z5X1ML+6g3GXnUFbemF3/d/ZfjSmMHzac0+7Jo1a/D09GTlypUA5Obm8tRTT+HoYE/kieN89PlXPPfU43zx468UlmqxsLwwWbRaLbNnzyYkJITnnnuOL774Ajs7O/bt20dpaSmDBw9mzJgx7bZLrLBUy+dbY/hi61n0epg3LID7RnZpkZoDhctAK8yJuuaDnZ0dx44d4/vvv+e5p55gxZ9/YWmqpqRcz5nUfErKdeQVlnTY+aDTS77bGcc7/51GJeCVycHM7t9J0R/saFzmOXH8uGFOfPzG83yz7He0OkOHflRaAVqdnrKy8gbnxNixY/H398fLXqKXknKdRKvTU55pwlPjulVk30pIyS1hT2wWafkl1TokK3GyMsXFxozc4nLO516QARECvOwtCHCxorOLNQEuVvg7WxHgYo2HrXmLfcZLynVsOJXGH4eS2HImjXKdZHiQC2/dcGnZtfbK1RuMPXQU/nseIv8FbTFoLKD7RBjz2iUdNjQ0lMcee4ynnnqKiRMnMnToUABmzpyJEIL5d87hpeeewkSloqBUiz6vlPjMQnR6yT333MOMGTN47rnnAFi7di1Hjx7lt99+AwyTNioqqt1dfHR6ye8HEvm/tadJyy9lYk8PnhrXDR9Hxf6mQ9EKc6K++VD5/ZFHHsFUo8bG3ARLS8OKXS9h/vx7mTB5Gvc98gRSyg4zH86k5vPkb0c5nJDDiK4uvDY1tMOafV/1tOGccLU1x9naFLWZYTFbqtVzx13zmHbDdJ58+hmg/muEEAK1EKhVgIkaS1MN80d0rjEevV6SU1xOSm4JqfklpOWVkJpXSkqe4eceHrYEuBiCLX9nQ+DVWg0nOr1kd0wmfxxKYs3xFApKtbjZmnH7ID8mh3vVKYB7JXD1BmM27mBmA7pS0JgbvpvZXnI9QFBQEAcPHmTVqlU8//zzXHPNNUD17h2VEHR2tcbJyhSVmZrCUh0l5Tq6h/fhv3UbeOChR7C1tkRKyUcffcTYsWMvaUytyY7oDF5deYpT5/OI8LXn01t607uTQ1sPS6E5tMKcaMx8qDY3VIYaGktTNcGDBrF7x1aikrOwsbaktFzHokUfMn78uOa/x1akTKvnk83RfLwpGmszzRW5lXLV0cZzQgiD4GugqzXmJmq69u/Pps2bOBJ3L+4ONmh1+ku+RqhUwlh71oPLb1cmpeREch5/Hkrin6PJpOaVYmOmYXyIO1MivBgQ4NQqSgTtjau7iKcwDXrfAXetN3wvSG34OQ2QnJyMpaUlt9xyC0888QQHDxrs037++Wfj94EDBwKGjktbcxO6edhgZqJm5q2302/YNUyaegNRKbkMG3kNn3z6KeXlBu2XM2fOUFhYeMljbAmi0wq489t9zF6yh/ySchbPimDF/EFKINbRaeE50ZT5cDH33TuPGyZfz4sP3QV6PRGDhvN/ixaTmJmPVqdvN/Mhv6SctSdSuP6j7XywPorxIR6sf3Q4UyK8lEDsSqAdzAmDjpjg4fvuZeqkiTx7/1wy8ovpOWAY7y5aTFZ+EVLKdjMnGkNCVhGLN0Zx7ftbmfjRdr7bFUdPb3s+ntWLfc+P5p0bwxjcxfmqCMTgas6MAdxcRey/BYr3AY4dO8YTTzyBSqXCxMSETz/9lOnTp5OdnU3Pnj0xMzNj2bJl1Z6jEgJNhZLx6y8+zTPPv8jD997Jax9+wYnTZ+kZHoEKcHV14c8//2yRcTaVrMIyDsZnc/BcNgfis9kfn42liZpnxndjziC/q0on6YqmhedEc+ZDVR577DHy8vJY+Nh8vvj6OzLPJzFysMGS0MXFhT///AMrK6tLHmdTKCnXcSA+m51nM9h5NpOjibno9BJ3W3O+mtOHa7q3TgeqQhvRzubEU088TlFBPm8+dR8ffPY1KUkJ9O/bB4HhGvHzr79jam6BRiXa3WIgu7CMf4+d569DSeyPzwagn58jr00NYUKoR4fWCbtU2pU3ZVOozXPs1KlTdO/evY1GVDd+fn7s378fZ+fG+2RJKckvMWjI5BVrkUisTDU4Whk0ZKoWSbb0+9brJdHpBRyINwReB+OzickwrLY0KkGwlx2DOjtx1xB/nK6QtuJLpaWNwptDR5kTzZkPVSkp15GeX0pOcTlIia2FCS42ZtUUu1vyfZfr9BxJyGHn2Ux2ns3gYHwOZTo9apUg3MeeQZ2dGNjZiV6+DsqipArKnGg8lzIn9FKSW1RORkFpNV9HtUpgrlFjZqLCXKMmITYKT78uuNqYXdYgrbBUy8bINP46nMTm0+lo9ZJAV2umRHgxOdwTb4erp7a4zb0pFZqOEAJbCxNsLUwo1+nJLioju7CMhOwiknMFNuYmmKgNqevCUi3rTqbiYGmCg5UpjpY1A7b6KCjVciQh50LwdS6b/IrWZUcrU3r5OnBjHx96d3Kgp7edcsFRaFPMTdT4OFrirtWTUVhKVoGhjd9Uo0KjUmGiFuQUlfHRhihcbMyqfTlZmTXYYq/TS06dzzNmvvbGZlFUpkMI6OFhy5xBnRjUxZm+fo4NeuYpKLQ2KiFwsDLF3tIErV5SWq6jRKunpFxHabnB3zJLX0ZGQRlTX9+ArbmGQDcbgtys6eJq+B7oaoObbeOCtEpj8oz8UjIKDF/pBWXG3zMLyoy3ZxSUUVBquJa42Zoxd4g/k8M96eFx5RbiNxflTHIZiIuLu6Tnm6hVuNqY42JtZrC1KCyjsFSLVi+RUpJdVM7dy6uv/lQC7C0NE9TR0tQYpNlbGX63MtNwOiWfA/HZRKbkoZeGluUgVxsm9vSkdycHendywM/JUpk0Ci3Kpc6HSkw0KjzsLHC1MSOrsJzich1anZ7Scj3FZTreXVfTegXAwdKQSXO1Mb8QqFmboVIJ9sZmsjsmi9xiQ51mF1drpvf2ZlBnJ/r7Oymm9gqtQkvMCSEEJmqD6n5VJTspJVq9RJ9lysJJwZxJzScqrYA1x1PILrrgvW5jbmgUCHKzoYurNSZq1YVgK79qgFVKSbm+1jE4WJrgbG2Gk7UpIV52OFsb5leEjz39r5JC/OaiBGMdCCEE1mYa42pcSmkIonLN+Of+IWRVZM8qs2iG3w3+ZQlZRRxJyCG7qMyoKWNtpiHC1577RwXSu5MD4T72ik2RQodDrVLhYlN9u1yXbcHpV8eRWVBGen4p6fmlpFV8Ty8oMd62P76QtLxSSrWGi4uXvQVjg90Y3MWZgQFOuNpeeXpGClcXlUGamYmaOYP8qt2XUVBKVGoBUWn5RKUWcCY1n3UnU1m+zxCkqQQ4WpnhbG3QHPN3tsLZ2hQnazOcrQ23VwZcVW2cFJrOFReMSSmvmkyOEAIVEo1KRfdGetxVppjzistxszVXVipXAVfTnADD+wUw06jxtLcwmibX9/iCUi3F5TpcbZTg62rgap0TF+NcEVQN7OxU7fbMglIk4GBpqlwjLhNXVBhrbm5OZmZmnR+8Kw0pJZmZmZibN/4CUpld87S3UCbZVYAyJxpGCEMNphKIXR0oc6JhKjNfyjXi8nFFZca8vb1JTEwkPT29rYdy2TA3N8fb27uth6HQTlHmhEJHRAjxGPB/gIuUMkMY0liLMJiFFwG3SykPNufYypxQaI9cUcGYiYlJu7NGUVBoS5Q5odDREEL4AGOAc1VuHg8EVnz1Bz6t+N5klDmh0B65orYpFRQUFBQ6PO8DTwJV9xEnA99LA7sBeyGER5uMTkGhFVCCMQUFBQWFdoEQYjKQJKU8ctFdXkBCld8TK25TULgiuKK2KRUUFBQU2jdCiPWAey13PQc8i2GL8lKOPw+YB+Dr63sph1JQuGx0WDskIUQ6EN/Gw3AGMtp4DC3FlfRe4PK/n05SSpfL+Ho1UOZEi3MlvRdo53NCCBEKbMBQoA/gDSQD/YCFwGYp5bKKx54GRkgpzzdwzPYwJ+qjo3zGOsI4O8IY65wTHTYYaw8IIfa3tfdaS3ElvRe48t5PR+FK+rtfSe8FOt77EULEAX0quiknAPdj6KbsD3wopezXluNrCTrK/6QjjLMjjLE+lG1KBQUFBYX2zioMgVg0hszZHW07HAWFlkUJxhQUFBQU2h1SSr8qP0vgvrYbjYJC66J0U14aX7T1AFqQK+m9wJX3fjoKV9Lf/Up6L3DlvZ8rgY7yP+kI4+wIY6wTpWZMQUFBQUFBQaENUTJjCgoKCgoKCgptiBKMXSJCiHeEEJFCiKNCiD+EEPZtPaamIoQYJ4Q4LYSIFkI83dbjaS5CCB8hxCYhxEkhxAkhxENtPaarEWVOtB+UOdE+qW+OCCGeqfjcnRZCjG3DYbbLeVDXZ1oI4SiEWCeEiKr47tDWY20KyjblJSKEGANslFJqhRBvAUgpn2rjYTUamy37KAAABXtJREFUIYQaOANci0HVeh8wU0p5sk0H1gwq7FE8pJQHhRA2wAFgSkd8Lx0ZZU60H5Q50T6pa44IIXoAyzBoq3kC64EgKaWuDcbYLudBXZ9p4HYgS0r5ZkXg6NCRzjtKZuwSkVKulVJqK37djUGosCPRD4iWUsZIKcuA5Rh84DocUsrzUsqDFT/nA6dQLFMuO8qcaD8oc6J9Us8cmQwsl1KWSiljMUh5tJWeWrucB/V8picD31U87DsMAVqHQQnGWpa5wOq2HkQTuSI934QQfkAEsKeNh3K1o8yJdoIyJ9otVedIe/rstaex1MpFn2m3Ko4MKYBbW42rOSg6Y42gPi81KeVfFY95DtACSy/n2BRqIoSwBn4HHpZS5rX1eK5ElDnRsVDmxOVHmSOty8WfaSGE8T4ppRRCdKgaLCUYawRSytH13S+EuB2YCFwjO14RXhLgU+V374rbOiRCCBMME3SplHJFW4/nSkWZEx0HZU60Dc2cI+3ps9eexlKNOj7TqUIIDynl+Yq6srS2G2HTUbYpLxEhxDjgSWCSlLKooce3Q/YBgUIIfyGEKXAz8Hcbj6lZCMPS6CvglJTyvbYez9WKMifaD8qcaJ/UM0f+Bm4WQpgJIfyBQGBvW4yRdjoP6vlM/w3Mqfh5DvDX5R7bpaB0U14iQohowAzIrLhpt5Ty3jYcUpMRQlwHfACoga+llK+17YiahxBiCLANOAboK25+Vkq5qu1GdfWhzIn2gzIn2if1zZGKrcu5GLYvH5ZStlnNZXucB3V9pjHUjf0C+ALxwAwpZVabDLIZKMGYgoKCgoKCgkIbomxTKigoKCgoKCi0IUowpqCgoKCgoKDQhijBmIKCgoKCgoJCG6IEYwoKCgoKCgoKbYgSjCkoKCgoKCgotCFKMKagoKCgoKCg0IYowZiCgoKCgoKCQhuiBGNXOEII8wbutxBCbBFCqOt5jKkQYqsQQrHPUujwKHNCQaE6ypxoe5Rg7ApCCOEphPhDCPGvEOItIcRgIFkIcUQI4VTH0+YCK6SUurqOK6UsAzYAN7XCsBUUWg1lTigoVEeZE+0TJRi7srgZSAWmAncDg4BOgCMwvo7nzKaKh5cQYqMQ4nDFV4kQYkbFXX9WPFZBoSOhzAkFheooc6IdogRjVxargGnA9UAkIIBioAyD6StCiBuEEGuEEAMrzF8DpJRxlQeQUo6SUoYDn2MwXv294q7jQN/L9D4UFFoKZU4oKFRHmRPtECUYu4KQUkYC/wdEYJhcYRgmySdSytNCiNHAcOAbDKsXZyDn4uMIIW7DsEKaXZmWrvheJoSwuQxvRUGhRVDmhIJCdZQ50T5RgrEriIrCyUzgNcAc+ALYCNxZ8ZDegDtgD/yLYSKaX3SMGzFMwBlSyvKLXsIMKGml4SsotDjKnFBQqI4yJ9onStfDFYSUUiuEWCmlLBFCnAe2AtZANyGEJRAHhEgpP698jhBCLYQwr3jORGABMFFKWW0yVRR2ZtQy8RQU2i3KnFBQqI4yJ9onSmbsCkII4QBsEULsABZKKSVwGJDAi8BmoLMQ4jUhRHjF09YCQyp+/g7wBnZUFGbeWeXwI4GVrf4mFBRaEGVOKChUR5kT7RNh+D8oXAkIIVyAAiBYSrm/yu1jgD1SytxantMLeERKeWsDx14BPC2lPNPCw1ZQaDWUOaGgUB1lTrRPlGBMASHEXOC7ujRkKrppbpZSfn95R6ag0DYoc0JBoTrKnGhdlGBMQUFBQUFBQaENUWrGFBQUFBQUFBTaECUYU1BQUFBQUFBoQ5RgTEFBQUFBQUGhDVGCMQUFBQUFBQWFNkQJxhQUFBQUFBQU2hAlGFNQUFBQUFBQaEOUYExBQUFBQUFBoQ35f3xqJhEIV7bsAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 3, figsize=(10, 3))\n", "ax[0].plot(re.cpu(), im.cpu())\n", "ax[0].plot(re[sp>0], im[sp>0], '*', label='spike')\n", "plot_phase_region(ax[0], threshold, sin_decay.item()/scale)\n", "ax[0].set_xlabel('$\\mathfrak{Re}(z)$')\n", "ax[0].set_ylabel('$\\mathfrak{Im}(z)$')\n", "ax[0].legend(loc='lower left')\n", "ax[0].set_title('RF')\n", "ax[1].plot(iz_re.cpu(), iz_im.cpu())\n", "ax[1].plot(iz_re[iz_im > threshold], iz_im[iz_im > threshold], '*', label='spike')\n", "plot_iz_region(ax[1], threshold)\n", "ax[1].set_xlabel('$\\mathfrak{Re}(z)$')\n", "ax[1].legend(loc='lower left')\n", "ax[1].set_title('RF Izhikevich')\n", "\n", "ax[2].plot(re_1.cpu(), im_1.cpu())\n", "ax[2].plot(re_1[sp_1>0], im_1[sp_1>0], '*', label='spike')\n", "plot_phase_region(ax[2], second_order_th, sin_decay.item()/scale)\n", "ax[2].set_xlabel('$\\mathfrak{Re}(z)$')\n", "ax[2].legend(loc='lower left')\n", "ax[2].set_title('RF-Or2')" ] }, { "cell_type": "markdown", "id": "9fe09b1f-fc3e-44f2-8af2-c01aad87e670", "metadata": { "tags": [] }, "source": [ "## 4. Adaptive Resonator\n", "\n", "Adaptive resonator adds adaptive threshold and refractory dynamics on top of resonator. Two flavors of adaptive resonator dynamics are available in SLAYER: `slayer.neuron.dynamics.phase_th` and `slayer.neuron.dynamics.adaptive_resonator` corresponding to __phase spiking__ and __Izhikevich spiking__ mechanisms respectively.\n", "Both dynamics follow the same post spike dynamics.\n", "\n", "_post spike dynamics_: $r[t] = r[t] + 2\\,\\vartheta[t]$ and $\\vartheta[t] = \\vartheta[t] + \\vartheta_{\\text{step}}$" ] }, { "cell_type": "markdown", "id": "8e161c1d-94e1-4c85-a149-26a023f4346b", "metadata": {}, "source": [ "### 4.1 Adaptive Resonate and Fire (AdRF) neuron\n", "\n", "AdRF neuron spikes when its state crosses zero phase with real value higher than refractory dynamics and threshold dynamics combined. \n", "\n", "_spike dynamics_: $|z[t]| \\geq (\\vartheta[t] + r[t])$ and $\\arg(z[t]) = 0$\n", "\n", "For easy usage, AdRF neuron is avaliable as __`slayer.neuron.adrf`__." ] }, { "cell_type": "code", "execution_count": 18, "id": "7edabbe4-6d56-4004-b4ee-8842877687b7", "metadata": {}, "outputs": [], "source": [ "adrf_re, adrf_im = slayer.neuron.dynamics.resonator.dynamics(\n", " re_input, im_input, \n", " sin_decay, cos_decay, \n", " real_state=initial_state, \n", " imag_state=initial_state, \n", " w_scale=scale,\n", " )\n", "adrf_th, adrf_ref = slayer.neuron.dynamics.adaptive_phase_th.dynamics(\n", " adrf_re, adrf_im, \n", " im_state=initial_state, # only imaginary state is needed to determine first phase crossing\n", " ref_state=initial_state, ref_decay=0.5*decay, # refractory state and decay\n", " th_state=initial_state + threshold, th_decay=decay, # threshold state and decay\n", " th_scale=0.5 * threshold, # threshold step\n", " th0=threshold, # threshold stable state\n", " w_scale=scale,\n", " )\n", "adrf_sp = slayer.spike.complex.Spike.apply(\n", " adrf_re, adrf_im, adrf_th + adrf_ref,\n", " 1, # tau_rho: gradient relaxation constant \n", " 1, # scale_rho: gradient scale constant\n", " False, # graded_spike: graded or binary spike \n", " 0, # voltage_last: voltage at t=-1\n", " 1, # scale: graded spike scale \n", " )" ] }, { "cell_type": "markdown", "id": "e10231c2-687a-49e5-a14b-44a803697e09", "metadata": {}, "source": [ "### 4.2 Adaptive Resonate and Fire Izhikevich (AdRF-Iz) neuron\n", "\n", "AdRF-Iz neuron fires when the imaginary state exceeds the threshold and refractory dynamics. There is no hard reset in this model. \n", "\n", "_spike dynamics_: $\\mathfrak{Im}(z[t]) \\geq (\\vartheta[t] + r[t])$\n", "\n", "For easy usage, AdRF-Iz neuron is avaliable as __`slayer.neuron.adrf_iz`__." ] }, { "cell_type": "code", "execution_count": 19, "id": "10343f6d-326b-444e-b9b0-c5c7ed60fe20", "metadata": {}, "outputs": [], "source": [ "adrf_iz_re, adrf_iz_im, adrf_iz_th, adrf_iz_ref = slayer.neuron.dynamics.adaptive_resonator.dynamics(\n", " re_input, im_input, \n", " sin_decay, cos_decay, ref_decay=0.5*decay, th_decay=decay,\n", " real_state=initial_state, \n", " imag_state=initial_state,\n", " ref_state=initial_state,\n", " th_state=initial_state + threshold,\n", " th_scale=0.5 * threshold, # threshold step\n", " th0=threshold, # threshold stable state\n", " w_scale=scale,\n", " )\n", "\n", "adrf_iz_sp = adrf_iz_im > (adrf_iz_th + adrf_iz_ref)" ] }, { "cell_type": "markdown", "id": "88ff0d30-9e37-4ac2-a26f-40a6d4ce27c2", "metadata": {}, "source": [ "### 4.3 Plot results " ] }, { "cell_type": "code", "execution_count": 20, "id": "a8cbb8b4-120c-4483-892b-ad01b4805d9d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'time')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(3, 1, figsize=(15, 6.6))\n", "ax[0].plot(time, re_input.cpu(), label='real weighted spikes')\n", "ax[0].plot(time, im_input.cpu(), label='imag weighted spikes')\n", "ax[0].legend(loc='upper right')\n", "\n", "ax[1].plot(time, adrf_re.cpu(), label='AdRF real state')\n", "ax[1].plot(time, adrf_im.cpu(), label='AdRF imag state')\n", "ax[1].plot(time, adrf_ref.cpu(), label='refractory dynamics')\n", "ax[1].plot(time, adrf_th.cpu(), alpha=0.5, label='threshold')\n", "ax[1].plot(time[adrf_sp>0], adrf_re[adrf_sp>0], '*', label='spike')\n", "ax[1].legend(loc='upper right')\n", "\n", "ax[2].plot(time, adrf_iz_re.cpu(), label='AdRF-Iz real state')\n", "ax[2].plot(time, adrf_iz_im.cpu(), label='AdRF-Iz imag state')\n", "ax[2].plot(time, adrf_iz_ref.cpu(), label='refractory dynamics')\n", "ax[2].plot(time, adrf_iz_th.cpu(), alpha=0.5, label='threshold')\n", "ax[2].plot(time[adrf_iz_sp], adrf_iz_im[adrf_iz_sp], '*', label='spike')\n", "ax[2].legend(loc='upper right')\n", "\n", "ax[-1].set_xlabel('time')" ] }, { "cell_type": "code", "execution_count": 21, "id": "f54afb45-f232-4796-aead-92777c8244b8", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'AdRF Izhikevich')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.patches as patches\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(6.5, 3), sharey=True)\n", "ax[0].plot(adrf_re.cpu(), adrf_im.cpu())\n", "ax[0].plot(adrf_re[sp>0], adrf_im[sp>0], '*', label='spike')\n", "plot_phase_region(ax[0], threshold, sin_decay.item()/scale)\n", "ax[0].set_xlabel('$\\mathfrak{Re}(z)$')\n", "ax[0].set_ylabel('$\\mathfrak{Im}(z)$')\n", "ax[0].legend(loc='lower left')\n", "ax[0].set_title('AdRF')\n", "\n", "ax[1].plot(adrf_iz_re.cpu(), adrf_iz_im.cpu())\n", "ax[1].plot(adrf_iz_re[adrf_iz_sp], adrf_iz_im[adrf_iz_sp], '*', label='spike')\n", "plot_iz_region(ax[1], threshold)\n", "ax[1].set_xlabel('$\\mathfrak{Re}(z)$')\n", "ax[1].legend(loc='lower left')\n", "ax[1].set_title('AdRF Izhikevich')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }