{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 03 - Full-Waveform Inversion (FWI)\n", "\n", "This notebook is the third in a series of tutorial highlighting various aspects of seismic inversion based on Devito operators. In this second example we aim to highlight the core ideas behind seismic inversion, where we create an image of the subsurface from field recorded data. This tutorial follows on the modelling tutorial and will reuse the modelling and velocity model.\n", "\n", "## Inversion requirement\n", "\n", "Seismic inversion relies on two known parameters:\n", "\n", "- **Field data** - or also called **recorded data**. This is a shot record corresponding to the true velocity model. In practice this data is acquired as described in the first tutorial. In order to simplify this tutorial we will fake field data by modelling it with the true velocity model.\n", "\n", "- **Initial velocity model**. This is a velocity model that has been obtained by processing the field data. This model is a rough and very smooth estimate of the velocity as an initial estimate for the inversion. This is a necessary requirement for any optimization (method).\n", "\n", "## Inversion computational setup\n", "\n", "In this tutorial, we will introduce the gradient operator. This operator corresponds to the imaging condition introduced in the previous tutorial with some minor modifications that are defined by the objective function (also referred to in the tutorial series as the *functional*, *f*) and its gradient, *g*. We will define these two terms in the tutorial too.\n", "\n", "## Notes on the operators\n", "\n", "As we have already described the creation of a forward modelling operator, we will only call a wrapper function here. This wrapper already contains all the necessary operators for seismic modeling, imaging and inversion. Operators introduced for the first time in this tutorial will be properly described." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "%matplotlib inline\n", "\n", "from devito import configuration\n", "configuration['log-level'] = 'WARNING'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computational considerations\n", "\n", "As we will see, FWI is computationally extremely demanding, even more than RTM. To keep this tutorial as lightwight as possible we therefore again use a very small demonstration model. We also define here a few parameters for the final example runs that can be changed to modify the overall runtime of the tutorial." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "nshots = 9 # Number of shots to create gradient from\n", "nreceivers = 101 # Number of receiver locations per shot \n", "fwi_iterations = 5 # Number of outer FWI iterations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# True and smooth velocity models\n", "\n", "We will use a very simple model domain, consisting of a circle within a 2D domain. We will again use the \"true\" model to generate our synthetic shot data and use a \"smooth\" model as our initial guess. In this case the smooth model is very smooth indeed - it is simply a constant background velocity without any features." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from examples.seismic import demo_model, plot_velocity, plot_perturbation\n", "\n", "# Define true and initial model\n", "shape = (101, 101) # Number of grid point (nx, nz)\n", "spacing = (10., 10.) # Grid spacing in m. The domain size is now 1km by 1km\n", "origin = (0., 0.) # Need origin to define relative source and receiver locations\n", "\n", "model = demo_model('circle-isotropic', vp_circle=3.0, vp_background=2.5,\n", " origin=origin, shape=shape, spacing=spacing, nbl=40)\n", "\n", "model0 = demo_model('circle-isotropic', vp_circle=2.5, vp_background=2.5,\n", " origin=origin, shape=shape, spacing=spacing, nbl=40,\n", " grid = model.grid)\n", "\n", "plot_velocity(model)\n", "plot_velocity(model0)\n", "plot_perturbation(model0, model)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "assert model.grid == model0.grid\n", "assert model.vp.grid == model0.vp.grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Acquisition geometry\n", "\n", "In this tutorial, we will use the easiest case for inversion, namely a transmission experiment. The sources are located on one side of the model and the receivers on the other side. This allows to record most of the information necessary for inversion, as reflections usually lead to poor inversion results." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Define acquisition geometry: source\n", "from examples.seismic import AcquisitionGeometry\n", "\n", "t0 = 0.\n", "tn = 1000. \n", "f0 = 0.010\n", "# First, position source centrally in all dimensions, then set depth\n", "src_coordinates = np.empty((1, 2))\n", "src_coordinates[0, :] = np.array(model.domain_size) * .5\n", "src_coordinates[0, 0] = 20. # Depth is 20m\n", "\n", "\n", "# Define acquisition geometry: receivers\n", "\n", "# Initialize receivers for synthetic and imaging data\n", "rec_coordinates = np.empty((nreceivers, 2))\n", "rec_coordinates[:, 1] = np.linspace(0, model.domain_size[0], num=nreceivers)\n", "rec_coordinates[:, 0] = 980.\n", "\n", "# Geometry\n", "\n", "geometry = AcquisitionGeometry(model, rec_coordinates, src_coordinates, t0, tn, f0=f0, src_type='Ricker')\n", "# We can plot the time signature to see the wavelet\n", "geometry.src.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Plot acquisition geometry\n", "plot_velocity(model, source=geometry.src_positions,\n", " receiver=geometry.rec_positions[::4, :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## True and smooth data\n", "\n", "We can generate shot records for the true and smoothed initial velocity models, since the difference between them will again form the basis of our imaging procedure." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Compute synthetic data with forward operator \n", "from examples.seismic.acoustic import AcousticWaveSolver\n", "\n", "solver = AcousticWaveSolver(model, geometry, space_order=4)\n", "true_d, _, _ = solver.forward(vp=model.vp)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Compute initial data with forward operator \n", "smooth_d, _, _ = solver.forward(vp=model0.vp)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from examples.seismic import plot_shotrecord\n", "\n", "# Plot shot record for true and smooth velocity model and the difference\n", "plot_shotrecord(true_d.data, model, t0, tn)\n", "plot_shotrecord(smooth_d.data, model, t0, tn)\n", "plot_shotrecord(smooth_d.data - true_d.data, model, t0, tn)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Full-Waveform Inversion\n", "\n", "\n", "## Formulation\n", "\n", "Full-waveform inversion (FWI) aims to invert an accurate model of the discrete wave velocity, $\\mathbf{c}$, or equivalently the square slowness of the wave, $\\mathbf{m} = \\frac{1}{\\mathbf{c}^2}$, from a given set of measurements of the pressure wavefield $\\mathbf{u}$. This can be expressed as the following optimization problem [1, 2]:\n", "\n", "\\begin{aligned}\n", "\t\\mathop{\\hbox{minimize}}_{\\mathbf{m}} \\Phi_s(\\mathbf{m})&=\\frac{1}{2}\\left\\lVert\\mathbf{P}_r\n", "\t\\mathbf{u} - \\mathbf{d}\\right\\rVert_2^2 \\\\\n", "\t\\mathbf{u} &= \\mathbf{A}(\\mathbf{m})^{-1} \\mathbf{P}_s^T \\mathbf{q}_s, \n", "\\end{aligned}\n", "\n", "where $\\mathbf{P}_r$ is the sampling operator at the receiver locations, $\\mathbf{P}_s^T$ is the injection operator at the source locations, $\\mathbf{A}(\\mathbf{m})$ is the operator representing the discretized wave equation matrix, $\\mathbf{u}$ is the discrete synthetic pressure wavefield, $\\mathbf{q}_s$ is the corresponding pressure source and $\\mathbf{d}$ is the measured data. It is worth noting that $\\mathbf{m}$ is the unknown in this formulation and that multiple implementations of the wave equation operator $\\mathbf{A}(\\mathbf{m})$ are possible. \n", "\n", "We have already defined a concrete solver scheme for $\\mathbf{A}(\\mathbf{m})$ in the first tutorial, including appropriate implementations of the sampling operator $\\mathbf{P}_r$ and source term $\\mathbf{q}_s$.\n", "\n", "To solve this optimization problem using a gradient-based method, we use the\n", "adjoint-state method to evaluate the gradient $\\nabla\\Phi_s(\\mathbf{m})$:\n", "\n", "\\begin{align}\n", " \\nabla\\Phi_s(\\mathbf{m})=\\sum_{\\mathbf{t} =1}^{n_t}\\mathbf{u}[\\mathbf{t}] \\mathbf{v}_{tt}[\\mathbf{t}] =\\mathbf{J}^T\\delta\\mathbf{d}_s,\n", "\\end{align}\n", "\n", "where $n_t$ is the number of computational time steps, $\\delta\\mathbf{d}_s = \\left(\\mathbf{P}_r \\mathbf{u} - \\mathbf{d} \\right)$ is the data residual (difference between the measured data and the modelled data), $\\mathbf{J}$ is the Jacobian operator and $\\mathbf{v}_{tt}$ is the second-order time derivative of the adjoint wavefield solving:\n", "\n", "\\begin{align}\n", " \\mathbf{A}^T(\\mathbf{m}) \\mathbf{v} = \\mathbf{P}_r^T \\delta\\mathbf{d}.\n", "\\end{align}\n", "\n", "We see that the gradient of the FWI function is the previously defined imaging condition with an extra second-order time derivative. We will therefore reuse the operators defined previously inside a Devito wrapper." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FWI gradient operator\n", "\n", "To compute a single gradient $\\nabla\\Phi_s(\\mathbf{m})$ in our optimization workflow we again use `solver.forward` to compute the entire forward wavefield $\\mathbf{u}$ and a similar pre-defined gradient operator to compute the adjoint wavefield `v`. The gradient operator provided by our `solver` utility also computes the correlation between the wavefields, allowing us to encode a similar procedure to the previous imaging tutorial as our gradient calculation:\n", "\n", "- Simulate the forward wavefield with the background velocity model to get the synthetic data and save the full wavefield $\\mathbf{u}$\n", "- Compute the data residual\n", "- Back-propagate the data residual and compute on the fly the gradient contribution at each time step. \n", "\n", "This procedure is applied to multiple source positions and summed to obtain a gradient image of the subsurface. We again prepare the source locations for each shot and visualize them, before defining a single gradient computation over a number of shots as a single function." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Prepare the varying source locations sources\n", "source_locations = np.empty((nshots, 2), dtype=np.float32)\n", "source_locations[:, 0] = 30.\n", "source_locations[:, 1] = np.linspace(0., 1000, num=nshots)\n", "\n", "plot_velocity(model, source=source_locations)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from devito import Eq, Operator\n", "\n", "# Computes the residual between observed and synthetic data into the residual\n", "def compute_residual(residual, dobs, dsyn):\n", " if residual.grid.distributor.is_parallel:\n", " # If we run with MPI, we have to compute the residual via an operator\n", " # First make sure we can take the difference and that receivers are at the \n", " # same position\n", " assert np.allclose(dobs.coordinates.data[:], dsyn.coordinates.data)\n", " assert np.allclose(residual.coordinates.data[:], dsyn.coordinates.data)\n", " # Create a difference operator\n", " diff_eq = Eq(residual, dsyn.subs({dsyn.dimensions[-1]: residual.dimensions[-1]}) -\n", " dobs.subs({dobs.dimensions[-1]: residual.dimensions[-1]}))\n", " Operator(diff_eq)()\n", " else:\n", " # A simple data difference is enough in serial\n", " residual.data[:] = dsyn.data[:] - dobs.data[:]\n", " \n", " return residual" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Create FWI gradient kernel \n", "from devito import Function, TimeFunction, norm\n", "from examples.seismic import Receiver\n", "\n", "import scipy\n", "def fwi_gradient(vp_in): \n", " # Create symbols to hold the gradient\n", " grad = Function(name=\"grad\", grid=model.grid)\n", " # Create placeholders for the data residual and data\n", " residual = Receiver(name='residual', grid=model.grid,\n", " time_range=geometry.time_axis, \n", " coordinates=geometry.rec_positions)\n", " d_obs = Receiver(name='d_obs', grid=model.grid,\n", " time_range=geometry.time_axis, \n", " coordinates=geometry.rec_positions)\n", " d_syn = Receiver(name='d_syn', grid=model.grid,\n", " time_range=geometry.time_axis, \n", " coordinates=geometry.rec_positions)\n", " objective = 0.\n", " for i in range(nshots):\n", " # Update source location\n", " geometry.src_positions[0, :] = source_locations[i, :]\n", " \n", " # Generate synthetic data from true model\n", " _, _, _ = solver.forward(vp=model.vp, rec=d_obs)\n", " \n", " # Compute smooth data and full forward wavefield u0\n", " _, u0, _ = solver.forward(vp=vp_in, save=True, rec=d_syn)\n", " \n", " # Compute gradient from data residual and update objective function \n", " compute_residual(residual, d_obs, d_syn)\n", " \n", " objective += .5*norm(residual)**2\n", " solver.gradient(rec=residual, u=u0, vp=vp_in, grad=grad)\n", " \n", " return objective, grad" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having defined our FWI gradient procedure we can compute the initial iteration from our starting model. This allows us to visualize the gradient alongside the model perturbation and the effect of the gradient update on the model." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Compute gradient of initial model\n", "ff, update = fwi_gradient(model0.vp)\n", "assert np.isclose(ff, 57283, rtol=1e0)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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g+xaThL5ngWlC1EYZZW59qr1hl71FurPC/AK2zRJbjqW6yeqMgC45ApsWVph2D2e5f5sS1z6EYF7cw0MR0YQq19PXd+96VExYS2Ci2ht22QeI7+EtahR8/aiJkG6wyiYrrLPGKhussJmq2y+sSX3pflefuOYJ+9CFFcZlvQ5NQNOUuX5ZQXC+QLq+hbUqve3b3L+9YLPU5NBXgFJZ0g3QJDBpOfX3UlDih6ZFpcwQniEIWnSVhidcQz0ulzYEtSn6zIg2hPva6Ab7pTMYal9qHlspIU2+l9hmhU1HWiN5zRqO00bDPRaL1aVv63UI16AModcoREyrRJaPzkXbJub+7Q277HOIr0FKf6fXZ9HXXKpDEdY+GON5NymovnVlEpDk739B7isT1d6wy+6hLzdRW2/Zq2ywxdLOcS1nCG3RkJ2mGrZQhtQAtm21DuU8q9CWhZouE3L/hVirde6rOtZwp/eziWpvWJ/qnJM0RMtx+FKIoLrl0vXk7WNRaLJvcwz9pHnUEdR0li+XrfjKtNW/WgfrW40QkSeKiHo+t6fKHSIi7xGRW0TkLhH5exF5tKe+e4vIW0XkRhHZLyKXisgvecrdS0ROFZHrRORuEblSRJ7Z5rmWYX5+4Yboe3q3qqQDkJJ+0+jtOHsGm7SYZpXz0YWYDslaTVNnOM5Qz6kMIeddLkgtvKx7r1aZdWnI91VjdPc+8rvAvzh/71xYERHgAuBw4BXAbcCpwMUi8lhVvcHZ7r3ArwKvAb4FvBz4rIg8TlW/5pR7E/Bq4DTgq8BzgHNF5Kmq+umGz600JqoDock32GSITF5/aB1XbxUxrSPAQ28AfcfWRLq9odJG/2nWjEohLLM9KmHtZL/dun//TVUvy1h3AvALwLGqejGAiFwKXAv8TyJBRkR+Enge8BJVfX+87BJgL/DHcT2IyAOIBPUsVX1bvI+LReRI4Cygd1E196/DWK3UPCYjVqc/7vp0FHBecv2+XL1jc5v5rvUiUdVC9U1RGFJX1wF1g/9dE1Gt82mGE4D/SgQVQFXvILJen5Yqdw/wUafcFvAR4DgRWY0XHwesAOek9nMO8GgROaKxI6+IiWrMUOZLrVMGksZ8e+qznPNJl/XX2Z+YuoxNWOeN5K7JL5PdD+pb18acv2UEbwyTZVRmqeYnnA+JyLaIfF9E/o+IHOasOxq4yrPNXuAwEbmPU+5aVV33lFsBjnTKbQDXeMoBHFXqyFvAWqk5Ie0Ca0IEhyCkaYbuCp5Hmsnfm+/yzSKdh3qeGMG9fD8R+Yrz9x5V3eP8fQfwp8AlwA+AY4DXAZeKyDGqehNwKHCdp+5b4+9DgDvjcrfllDvU+b5dVbWgXG+YqNJMozGEhyO08Ql1zVUZgJ9Xl401HBdtZkfK60MNnUwiPXtSH32rg0040Uyf6i2qujtrpapeAVzhLLpERL4I/DNRX+nptY9ghAzwbjCyCH34k8YlXdbN3Vt2qEITAls2yX5+XSasbdKEoFYpP0iBapHW7uOexqmq6uUi8u/Az8SLbiOyRtMc6qxPvh+RU+5Wp9zBIiIpazVdrjcWvk+1byu1mf3P9o2usun0m05G/bnbVD/m2T1W2b4uIX18RjnKXNMq/adpCzWrH7XoHknfy+547GhZuWeyzzzfrdzDyXyq3fSp+kgEby9RP2iao4DrVfVOp9wRIrLmKbfJpA91L7AKPMpTDuAbdQ66CRoV1aYHAxvF5KUdzBNONzdw6CePvsXVqE9T1mnV/lNj/IjIbuDHiFzAAOcDDxWRJzhlDgJ+LV6XcAFwAPAsp9wy8Gzgc6q6ES++iChK+PmpXZ8MXKWq1zZ3NtVoqzVqajBwq8zLEJqsZPhuP+a0RTBrMWSRnqw8a79lymRtU3csa1THMH6TMdGkqzdEUIv6UMcowIPrW+3A/SsiHyIab3o5cDtRoNKpwH8C/ysudj5wKXCOiLyGSXsvwP+T1KWqV4jIR4G3i8gBcb0vA47AEVBVvUlEzgZOFZF98b6fDRxLPJa1b9q67LUHAxvFZInpJNPP7Byr6SngshqC9GTlCVkimzefat76qmWz67C+1jK0aZ0WbVOlvG9mpaGI8ODyArev8VcBzyUyjtaA7wLnAa9X1VsAVPWHIvJU4G3Au4B7E4nsk1T1O6n6XgycCZwBHAxcCRyvqpenyp1GFDH8SuBBwNXASap6YeNnWIE+Xq28g4FFJBkMPApRHUrDnRYgNwIyHZDkCmrewPpkQujpZbMi6xPYpsTVrNZ2ads6zVqeNxY1VBx9XR5NdSPUvWcGY7F2YKmq6puBNweUuxV4SfzJK7cfeFX8ySu3TSS8ZwQfbIe0FajUxGDgVhnLBOTZxzBtpfqS4Cciuskqm6ywwQobrO78vcmKt+80vTyqa5IyIsHN0ZTeZ5kAljrl8usYQOM2MJoKRMpb71uevk982/jq2GbZu11ePuu+GcQsVf0HKi0sTbc6TQ4GHiRDENRpF1j28Uys0om4bhc0bkndvuE3E3fbrCXoG6SfZ3GGWqN1XcJmtU4YgnXqOw6foJalKWvVMOrSqKi2ORhYRE4BTgE46LCD6hxm5TfCoTXM6WEELskb/iarrLPGJiussxavmxU0n2gtpwTVJ65pYU0fT16/a5mxryau1Wl6zGmZ6N62BdXnbnXHafflrejdDWzzqfZG6+NU407mKoOB0/XsUdXdqrr7R+6fHspk+ATLDU7ait26Ptfu9HbT7l23Ph++hqNaVpuwbcwaKUeTDXtZl3wXgjq7bBgu4Ko0KsTDSKi/cHR56dzBwE/2rE8PBh4UZZN0t2ERJX2n0f/zrdSkb3SDFfZxIOvsYh8Hssw2K2xO1TW9j+2p489y67rH4DvfkO1mj7t9l/CiWKxlG+cqkb1Z63wvVU0Jqhu/PnR6tVaTPlWjc1q3VGsMBm6FNm9yNwikz2w/0xG/y97/N7/P5ixWs1rrUdbdW/U6di+ofiHtQmB9gXohVDm2Rp7T4Uz9tnA0eumaHAw8JEIejL4jTd0xqcn3dFRv9vElFl9Wv2pbx1qU8anN4TfzOJ61Ses0b31o/6nvmKoIalez1GTdD7PnMH/3jtEcTStB04OBG6WK8NUV1C4fwElCh+kAoCgX8MaOACWuXzdn6uR7egLzJo6paj1tu4Pb+m2KzreKBV9EF8FIecubFFTfPTO0vtIy3Qi9uIEtUKk3mo7+bXQw8CJQ94FLN0C+upbiflT37+Q7KytTUaPmT1FYTqSatFjLlp1s05ywhr48JOWaEtcuhsrkrasiqFm4npai6+lex+g5yg+MyiPUSu2KRu5L6x3pBXuXyWEsLp6sBiixSlfZmMqyNF0m3zJtYpB9UQNZJIZtC2sTVLHGq87/6dLX2FMIE1Pf9mXqS+N6WoZAqPh1bq2apdobC3PZ2wowCKm3DTdjWjyyGqTEzRux4V2fpg1RquMGhmELa18NfJnMSFXLNC2oWbThEm+CPiN4re92nCyMqLZB6MPW9YOR7iddYSN+QKs1XE0JVJ6whrqCQ4+nnAhXb7yGLKhtiClUd/dWsVCb7uMv2kcVBil+Zqn2xkJc9r4jc5ukjMXnjmVNXI19X4u6Fiu0Hxk8dJr6DasMpQm1UEP3NVQLtQ06tXpNVHvDLruHwb11xqTfiCeW2+y0b8BUX2q0LkrtkFC1gSw6xvRxpKlrsSblmhTWQVobHpqwUNsKRsraPnQ8ax55v00TfdN1aatvtdZ9uTjvK4Ni7kW1z77UMvusU5/vwUty9Ub5e/2TibfZGBU1BnWDl0LLlCnXNe0MrZk/QXVxh4Nl7aNvgR0EZqn2hl32CjQRql+HrEje9D5XiBqc1ThAyZ2sPLtOv8DnNcbZaQeXnTKz18GXgN+3z6Yig4dEtWxT+fddF9G9WcfRZITvWBlsJLDRKfbLOozB/ZdHSNIBn/vYpcr4wnSyCX+Z7AaniSE3efsOqaPoGPumjqC2aZ0W1V9UZwh5Gb9CGOuLV0Kl+9Is1d6wyz4C3EbB7+qdTbSfsMw2G6zu/D+0YaubDzYrOURyvGlCrNa6DeNYG9cuBbWOdZq3v7KC2nSk71h/+1rMr1Ng0My1qLbhpu3abVNG3Hxv9NtM5pVcyhBVNyp4Ohl/+X37tp1dV01ciyzSZoS3nFVQNpq5afdnFUFtw92btWxI7l7f/dG0u3YwAUtmqfaGXfaB4HvI0gIXIhjTaQezhS75v2/O1CpWar6F6l9X1SWcdy2azM4USqiwttGPmr1d/4LaJMn1TQcpFdH2cQ0WE9XemNvL3ncwURvkCYJvnsnkGrgBSumJy92/E6o0/kmjl2+hzoprHat1aMIKs8dax1LLn6ihGQt1KO7eLLJeVpLo9qzj6TMQyAKWFhv7RUswxAegTB5Udzo4XyRwUXBK2SEyWeLlW14krk0Lax51Apb6SJI/vd38CGqahesTrYNZqr1hl71FurSA3UTj7hRw2yyxyerO9yYrbMR/J+IalQ3LYTy738k5uo1pkeWa5xJO15vU3aSwFluz/UUCV7FQxyKmIdc1HXSX553pyr3bVh9oG/21Cbqgnu++mUtRnUfXb1US63QjQ1CLGtK2h6GUsSirCOvYaNIbUkZw2hZUt/4yc5Ea1VCB7bls3YePXfZAhuj6TcgavrLBCpusss4am6ywjwNzE0D4qDoG1dfHmG2dhve1ZvVd5rmas459aNZqlaEzdS3ULsW0DlXGqo4lSKlNa9XonuEqRUUWzUr1Bcakg5I2WWGdNdZZA2YbmyasvKyHPauv1bffrL7WMvWWn6R8GMJaN1tSUdmuBbWqmA5lntTRY5Zqb9hlHwhlMxklIUf+upamxHQfB+58R9tOJ4soGv9Z5hzKRPH6RbSc1VonOCqUNoW1ToL8OmNFQ++3smNPu/DojMXV39Z9E1KvCmwt3avmnn5Yc/vFxES1Jfqwgt0EDlupftR1dvF97ssu1lllE9iYEqTZQfHNC1AbVmsTwhryUtF0P2Dd2WbaFtShiOn0uOvZa99lsFKblHEBh9yDKsL2ct3fZLPm9otJ3VcZY6Akrt+t2GLdH1uqm3HKQpd0wogmLNYssiNPwxp2X91+4SgXJRtKE1Pj9SWovn0PSVDzXvLS9PHSWmWfbbxsBPe/Li3V+hQhIieKyCdE5Nsisl9ErhaRN4vIgU6Zw0VEMz4Hp+q7t4i8VURujOu7VER+ybPfe4nIqSJynYjcLSJXisgzgy5KByyspTq0/tQqA8HdITHuG3u6AVxim12s8wC+59ium14BzbsuTQ0pyHMHJ8ebv2zWauzKYnX3n8aXeKMsY7FOhxy4N+Rjy2OEySBeDVwPvA64ATgGeAPwJBH5eVV1/cdvBs5Pbb8v9fd7gV8FXgN8C3g58FkReZyqfs0p96Z436cBXwWeA5wrIk9V1U83cWJ1GNUvaGSTbhC3HeFaYptVNtlm/05/apFbzUdSrkykYl79ZYbIhPSJNtXHWrX/tb4VWz5LUpp5FNSx9KF2SVG/qiJduMV/TVVvdv6+RERuBT4APBH4vLPuW6p6WVZFIvKTwPOAl6jq++NllwB7gT8GToiXPYBIUM9S1bfFm18sIkcCZwEmqk3SZJ9ElXq7JKThTyzRNdZZjQfYTNZF16BKztqyFlleViZfwohom2KrNctiDakrb3nRuiYpavjqBBBVEdOuhHRonqJ5Q5HWMlvt7GNaUBP+Jf5+aMnqTgDuAT7q1L8lIh8BXisiq6q6ARxHNFX0OantzwHeJyJHqOq1JffdKNanOmekxWCJbVbYiK3VjZ3P8k6vq//jkpRt5vjK9beGvG2HW87lG5nkijRNSL1NCmqZ+mfLhdXlfspSdH8tirXa5MvG9s6TW+1TkSfE3/+WWv5mEdkSkTtE5HwReXRq/dHAtaq6nlq+l0hEj3TKbQDXeMoBHFX1wJtieCZYRYZoTbbFNss7jVDeea+ysZNRKUlfGNpA+izEMvOx5tdfbLnmWZpZ/axFFmuybZbFmq4zq0xR2aLtqpavKqZZXQNl6wk9Tnd902K4KOJal4bcv/cTka84f+9R1T1ZhUXkoUSu2r9X1WS7DeDdwOeAm4EfJ+qD/bKI/KyqJuJ7KHCbp9pbnfXJ9+2qqgXlemNxlFCFwGIAACAASURBVGhBmO4rjR6qFTbjB2wlVxgn7tTuhinUGYM6+3c9d7Cvzvxjb+4a1RXTqFx5QQ2tJ+Q4m2LRhXNAAUu3qOrukIIich/gU8AW8OJkuareCPy2U/RLInIRkWV5GnByc4c7DAbxy3XJPPXl5AnAMttsx+sSizURy0Rs3QYyWr9FGWHNevBDEldk1RUiiCHRwaEi7Tue9PG30ciHubX9ZaoEI9WxTpsW0vRvkze9m1GNjgKVABCRXcAFwCOBJ6jqDbnHpvodEflH4GecxbcBj/AUTyzPW51yB4uIpKzVdLneWDhR7Yoms6m4QpL83ycS6fyoiZj6xqa6dYdSnOc1tI8u290aIq5ZQUxVrNas+rKON+u4s2jK/RsaQFQ1GCk0ZeFYGPOxN0UX10BEDgA+DuwGfkVV/7XE5q4o7gWeISJrqX7Vo4iyUFzjlFsFHsV0v2rSl/qNEvtvhYUKVJonKzWLdMDRMlGg0gqbTjqI7amyPspaqVUf4KzAFl+wxKxlNb2tr66serKCokIDbbJDvMoH7OSVzz7W6fPyn/v0Ml9dWQkhmmqQuxS3eRLSum1VEv1b51OEiNwL+BBwLPD0vCEzqe0OAx4P/LOz+ALgAOBZTrll4NnA5+LIX4CLiKKEn5+q9mTgqr4jf8Es1UIG0rdRaE25ZD2QS55GN29f6QZ5sr4ZQc2qI8/izJuztSiQya0nXZdbX/p40pR1SzblDWgzCKlqJHKCuWoXkr8gEsEzgbtE5OecdTeo6g0i8qdExtulRIFKPwacSpRY+MyksKpeISIfBd4eW7/XAi8DjsARUFW9SUTOBk4VkX3A5UTCeyzxWNa+GYZiGKWIXJ3+PKju8nSZqJc1uxHOeoHIb+irrUuON2s7n1u4qJ80tL81Whae+N93fE1SZfq0EDevr+6yglrG2vb9nmXFtq44tz02s0vqBCxFfaqtN+9Pib9Piz8ubyTKrrSXSBxfBNwH+D5RUog3qurVqW1eTCS0ZwAHA1cCx6vq5alypwF3Aq8EHgRcDZykqhfWPqMGMFGdE9zGKBGFSfBRtqszKecm469joZYRnLyAIJ/l6huKk7Zc/dvl15VXZyhNDDeqEnXbdH9pnReGMpHTCV1M9VbluOaBtt3hqnp4QJn3Ae8LrG8/8Kr4k1dum0h4zwipt2sa7VMVkS/kJE++KC4TnGC5SRahPxWmG6msBsttZJNG2NevlyeobZDdv+rvK01T1OfqLsvrx61yrlUEtWiwff6xzi6vO2dqF32SXT+H89TPWoYk+rfOx6hG0y3l/wAOSi17HHA2s8mUQxIs904dF0yTEcAhJPvyWWhJEojke5OVHQs1T0yjeupNZl2W7P7VdN/p9HEtseXtJ82yiLOONxpO1I0TJzQoykcXVmnWbzE0hhL70DRV2x9lvlzhY6LRO1FVZ8KZReSlRCHRH0mtyk2w3CSLYKX6Grxp0Zz+dtelt3FpcqhFnogVbVPUVxot9/e7Qn4QUtE41TLHm6bKtcrbpkxu3ipiGrJuaOJaZjrBOsyrcBvN0updIiJrRNFhF6hqq4NyB5SFpHOyxl0m/08mK19nLf57ZcpCrZI3tixlG/KQVII+cfRZr+BveNPRw0UUWbhZVGncq85fWtaDUEf064pr1wFhY8XXthUbCp0EKhke2r7qzwAOJJoKKM2bReQvgbuAS4DTSg4cnqHazTe/bLK64+rdcGZSzRJTCBPUrGxLIVmYQslruLMt1WYDkvJeVqpS1iVXNQdv00LaFYsaVFSGkDaty4xKxjRti+oLgJuAzzjLQhMsGwHkDQ1JrNS0pRqaWD9/v+ECWjei1N1nXr1Z0cOz67LPPW8caxuU+R3qCOUQGthFfsGtS5VrN4TffBFpTVRF5CHALwPvUNWdO6JqgmUROQU4BeCgw9KxUBPaeHDH5Fp2+0rXWWODFfZxHzZZZR8HAtPWQFqosq6f3+ILE9amLNgiN3F+4FG98ZZN0dQLRt36y7wwdDHspSptBsyNGbNU+6NNpTiZaMiOz/U7RUaC5XSZPcAegIfsfnB62h8jxSQ0fplNVllnjXV2AbONZGiWphBhbdIFHEJR0JGvTF7ZvPJt0nRAU5oxRYKaC9gYM22K6guBK1X1yhLbLLRYlp0lJk2ybTJcZoNV9rOL2zmYfRzI97kv92Efq2yyxvpUwxVi4btlphMx1BPWug1+aHrBNKFWdpP1NUWXIumbvCGEpoTRLK7yJLl/je5pRVRFZDfRrAG5mTGc8kmC5b9p43gWgfTb/fTQmUlg0iarrLK5Uy7d8PkazyYezjYt2JDjq+rCbLtBn6eGr223ufXJlmMsXVbzRltX/QVEk9V+KL0iNMHy0Bhqv+o2yzNDQ1wh3WZ5quFOlib/j763ckXHTXs4qWf6enTtBi77WwzxtxsiWcJV1loNEdi8OpOXxDZdwV2IdF8vAtan2h+NtzTxDAPPBS5S1Zs8RcokWDYC2CpoeFbZZJtl1tjPKhsz9qtLXuBPOr9tVy8afQni2Bsl65c0jO5pvLVS1XuA++esD06wbFQnEc1VNtgV958mFukS26ywOWWh5s0w4opLXuL4pq3VUDFtO6J2DJQJ0MoqH23jT61ZZKUWCXhTFrARhlmq/WE+sTlmIqybnuX5gtrW8YQPbSk/Y0vZMglj69f0iVDVCOeqv30X98yQRGGM3Qdju6/nhfHdKT1Sxd3ZdVJ9mDS6q2wAsMIGyehVlz7cg3Ws16rJD0Ial+qTJpQ7lzrXPCQTVF4WqNB9d33PmrXaPB3Np2p4sKs+Z7gN50psoSa9p+5LQdVsSGXffttM/OBbVibhfF49VcqEUNaiDCVrflnfvtP95kX7LnoZa+LlLHSC+DHRZ7SyuX/7w0R1TklcvCuwM5QmmbnTn/O3mcw0XSV/CBH7sjPs9JHqLyRJf94EApNjS8Y3z6ZZDElc36TXok5d8yiuxmJhojpSkkZ0xVk2GY0aWaRR1G8kckmA0ubUFuHC02X/TPqY3OMpEtO8bX1/Zy3z1d0GeZZlQqjopWfpSVuv7tCrvPrKWFhddyFYtqVwzFLtBxPVOSUS1qWdYKVk2ZLzoLmJ9xPaENSiqOC8iOIyfaWuoBSJadnzbKt/Ki+Bvy9TVJ7r1pcAJDuXczVxKo7ybUbwrJ+1HpZRqT9MVEeGvyGdbjgnjdFGbLFusBG7f7czXInu33UDe3wu4CaG22QdY5aY1rFwfdsUHVMeIXmGQyZdL9pHWnzdOqoIVV75cikcqwU/Ra+BJg5lsUCl/rCrPnLS+Xtng0q2gJWd7zRVApH6fljrCGpZd3HR8lBCApR8ApvuK81z5Wb/v56w+o7VGD7m/u0HE9WSDDVdoYvb+CXZlpLvxC0MkwY76Yl16XK+1RD8faGzghoipmXcxOltu8Bv1U/3lbri6lqn6f/7hDVhSAFKhjEvDFsdjEZJcgG7IjorKsO+JfIil32CWlVMqwzNKUPeEJgsN3mR5ekTySEF9pR1Aftf9Db9hY0pbEhNfwy7BTWCyWs4EzFN/h99L88IT9OCWrcfNX/4S7lxpyFu4tBhOUXHloVvCMxk3VauwM5aoctT2/nGpGbdE00EAQ1FqA0/Jqr9YaI6pyTWaDJLzTbR/KrR9wpJQoi2BDWLugFKWevS3z4LtWo/a9ExpMuFBCUlpPtOo2XT7t10vb59JEKZZ622mSmpTLamqHx3iREW9QXAon/7YaFF1TembyzkTdeWtkYn35Pp4Jo6hqK6muxbTb8A+Ny+acoIalNBS3nrfYKXXh7i3vUJZVpYm3T9TgfE1a9zzM+eYeSx0KI6RnwNWlpcE6HYZIUtllhnF5us7nyXtVDzGr1kXRWhbiuYKe/cfIIaIqZFx5llFeTl4oXZbEm+qN90UFKesPqO2xXYrLI+Ae5qnKjvdzKhrYcNqemPe/V9AEazuEKRpCeMPitTgrodJy3MI8nOFEJTjWAbDUGZiF5fAFPW9u4ni6IyRQFTbY2fzQpUM+aDpE+1zicEEXm4iHxcRO4QkR+IyHkicljLpzdo7FVmjkiskEQ897PGBqvs40A2WWGdtRmLaDY5enVxbHK4UZk+TPc7xEVcdpyrb7sqZKUknLVSZ13CyfZZAUnJb99HJqJF7bMcOm2/MInIGvB5YAN4IaDAGcDFIvIYVb2r1QMYKCaqc4LbuCZEluoKm6ywEbt/IXvWkTaDWKo+4L7AI3d5HfKG2KRpOuijjPh1McZ00Zh393JHaQpfCjwS+DFVvQZARL4O/H/AbwFnt30AQ8Tcv3NIEum7nzXWWeN2Do4/h7CPA1lnjY1UdiVfI5PMalOGthurupZwyAw9oWNWk+MJ+YQcS4jbLX+crr0jG51yAnBZIqgAqnot8E/A03o7qp4xUZ1Dpt2bSzsu4O9zX/Y7LuC8BtwV0yriOi/0kWR/Un92ZHJ6vYsNpTCSQKU6nwCOBq7yLN8LHNXoCY0Ie7WdI9KRocl41HV2sY/78D0eCBA7hDe9QpknnnmzyfRJlos4f5t6SR3KCmpW1K3NxmK0RQdBaIcCt3mW3woc0vbOh4qJ6hyRHku4yiabrLLGfrZZ5oF8jwPZxyobOzHAafIa+SEKqmEYszSUUel+IvIV5+89qrqnbqXzjonqHLKMm8Zum1U2dtZliamLT1hNUA1jXDQgqreo6u6c9bfht0izLNiFwER1DkkSEO5iHYCDuZ0NVnGzMLkj0nxUFdE6Kf6qkkQXl3FPZw3/CZ1AvWzSi6wArjrzlWatN3ey0RF7ifpV0xwFfKPjYxkMFqg0J6SHxSThBis7aR82WGN/ppgucuRokXjlC19+tHOZBBp5x5Kf1aqdIVGhLyhjTCAx7/d7MqSmzieA84GfE5FHJgtE5HDgF+J1C8l831kLRtKorrDBNsvsYn3H8tpkZef/SUalNHXzsZYP3qky00u9BBOu5enW5ZuLNGs73zFVOY7ZeooF1fU0GEYWHaUp/Cvgd4BPicjpRMkf3gR8B3h32zsfKiaqc0bS+Ceu3m22WYn7VJO0hS7ZUbDlBLbtBzgtatP5bIvFuWwCirLCWoYQQQ0VTRNXI4u2PQiqepeIHAv8GfBBQIB/AH5PVe9sdecDZqFFdV6yqmyxNJXKIWm0V9jcaXSXne+of3U60UD+/KT+dU2mJcyirGi6LxXRMJZ08vmlXGs1Kev7G/yCWCS0ZftNp6O4Z61Ufz1bhWXqUDT1nLGYqOr1wDP7Po4hsdCiOkbS6QhXPGUmVtxW/HckM5P+1K1G3mJDBLUoW1EWTcxgkyf6aWGNjm3WFZz8Ha0Pm4km7NhCrFW/oIYIWjq3c9si2Ow0c/PxstsnNkl5f5ioziluA5e4gRNxTf5OcC27MZMXBZyeXzQpBwRZre4ylzIvCaHr0qLiE1SfNRsi7umyQ7E4TUibpaPcv4aHcbeixg6uZZomsU4n4rrtWGezLtMmjynv77L4XLvpflWfGzja97K3XFIvMFM+KZd3DlVEKTTCN8s6LRLULqzUJixTE9J2GftL8lixq75A+K2cZicKb4O8Y8wLWMqzWJP/A1PimnYJR+uXp7bPoorgZk1kkFVPVn9ryD5DRSxv0vP87cKFtktBXcQ+YHP/9oeJaknG8PaXbkR8CfSXHUFJyrqW2myd7Q+XKYPPqs5z8U6Oa3nm2uSVr3uMIZSNBg7pa80Tkarn2JQ4VRVUs2yNMRCU/EFEHiYi7xSRS0VkXUQ0HuSbLndvEXmriNwoIvvj8r/kKXcvETlVRK4TkbtF5EoRsQiyBkmPRw2ZO7QourRsIoOi4yvC14AXCVCRsKTPIV3elxjDnbsj/3i3gq5Tej6Q9Ln4jsndh1tP1nn4/l+F/Fl6qo0zDsUyQ1UnsVTrfIxqhJofRwInAV8FvgQ8OaPce4FfBV4DfAt4OfBZEXmcqn7NKfcm4NXAaXGdzwHOFZGnquqnS5/FApHvflye+TuZ+m0istMzuqTdp25DVpTsoMxML3kPaUhAhc+9m9dfmuwz1AWbZfX6jsOliUClvDJ5/azpbbKs2xAhCxXfomu6iK7WoWLC2A+hovpFVX0ggIj8Jh5RFZGfBJ4HvERV3x8vu4QoP+QfE01oi4g8gEhQz1LVt8WbXywiRwJnASaqAYQlZEi/fS5PvYUWCUk6OrYqbQUspfGNM83rP4XpyN/J8fmDlHzHXlVAyvZ95olpyN++epoQv7ZFtOi8DT8W/dsfQaKqqj8MKHYCcA/wUWe7LRH5CPBaEVlV1Q3gOKLhleektj8HeJ+IHBHPHm8U4HOPTdy9yXyqy2zE2X83Wdl50NxyLr6hJFni6rPw2nw7Tkfs5o0zTY6lSiNcNiVhSH9znf7VaPty/a6+fVZ1p5ad87VpoTUhNcZEk1E3RwPXqup6avleIhE9ksmsBhvANZ5yEM1wYKJaAdeNm1imSTp9t4+1TIaioZE1FCZalz0cJm2xJsuyrNEiEZlOmdh8P2H2sJuw5WXcxnUp42YPxfpT69FR7l/DQ5NXPW8W+GR98n27qmpBOaMCk1GoURL9DVZZZ9eOwKbJd0OGTYNWdDx5fxfV5+9LzXdTh7pyy+zTV6YtiurOFtaw6eXqHrv1m46DIb4ULwKjeZURkVOAUwAOOuygno9m+ERu31Vn4reVnWT6iey6dNFIhlnIYUFDeW5q8Avs9LEs555zn5Z6E1ZfGTdyCGkXcFvCOk8WatXxvk1g41T7o0lRvQ14hGd5Ynne6pQ7WEQkZa2my02hqnuAPQAP2f3gtJXbCWNxp0z6TSP5XGct/t61E6qU2KzFw0Sqi0uTD3VING6WwLoUie2krnzR7YKm3aVlXcpl8I2NLlvvPAlq31igUn80qRJ7gWeIyFqqX/UoYJNJH+peYBV4FNP9qkfF33M1Y3xfb6qJoG6wyn52sc4at3Nw/L/98bHVm8osL0gpRFDzgoF8LzBFw1maFMEyDXyVa9iWgJS9Bn2/OCQMXVDnITe20Q1ByR8CuQA4AHhWskBEloFnA5+LI38BLiKKEn5+avuTgass8rc8IUE1G6ywztpO0FLWsJqieqrShivKN2S9yjZlPj7SyRxCPlXPr8rx5dVdh6aGSjXtqjYiyt+V0x+jGsFXTkROjP/70/H3U0TkZuBmVb1EVa8QkY8CbxeRA4gieF8GHIEjoKp6k4icDZwqIvuAy4mE91jisaxGOJPp3SYNkJs4P/nbP/xmehq5pGwan5i2PZSmKMFE9nbtNsSL3NDXHVrTRh/jIv8eeVifan+UabHOTf39rvj7EuCJ8f9fDJwJnAEcDFwJHK+ql6e2PQ24E3gl8CDgauAkVb2wxPFk0sbDO7Y3t+m5VCOBXWXD60J1l4VYo0XXoslkD5bvtft7b1GueReBRH0FK5mo9kfw06qqElBmP/Cq+JNXbptIeM8I3X8obq7bRWkcEpLzXYn/XSPq2j6QfazEA2wmZdPiujxVhw9f4950tqQ6DL1friqh3oM+aHt4TVK3WaTlGco9smiMy/wqyZiFta44JdbpChvsisXV7UvNaqR84lrHUmpLZMsK6Fgb5azrVxTd3BdlRdb6U415Y65E1W9JjUdYQyzBIpZ33uy3WHP6TJOhNG5mpbLHUnRcbQho3QxEZcs0uX0T1yN0SFM6y5SPuoLblyfABDZidvx2drtmGZX6Y26u+qLeQIlgukyENepHdTMpbbC6I7VuI1vm+jUlqHUb6aLkDVW3Dd9/fh7gpqJr8+rJK5P+TYbsRq7DcirYbqgpNutQtn2zPtX+WEwlKsnYBDtpVFbYYJNVVtgEJo1slMJwdae8Ozl5k+fa1jCaJpZP1jcdjVq/vqLUiu51zRu7WzSuF8KEts7LT1EEcNmI4kWk6jNpotoP41KLiozJBdwUSWKHxFoFdv5OLNd0cn1XXJP1dY+hib7hMuvK5sWFZtyaXVlHWZmesizWLJHNO9a616Nu8FKVF6Fo2Wxua8PomoUQ1XlniyVvczJxA0diucomG/Hf6YYzmZklPftKX1Z6E2IammC+zL6b3i7EesybESdvRh53eV72qXpDnszKbJOqz5+5f/tjYUR1rNZqmUCViQt31lJIEkKkE0Nk4ebIrSOsocdfpX80vTxkcu86+xsaac8C+C1Z3/1Q1k3sI/Q69TWrje/eW5QZdpT56C8fIwsjqn3QtYi7QUt5DeNS3BxDuj91Mh9rehLwOoEgIdZS0bbFy8Im5C7jMvZvX/43zXspCQkwyrp+vsnjfX3jvu2z6ixat8iMK/+vRf/2hV31OSNpYBNRzHqw3BSGLmlhTeosEtaQhjhUvJoU0qb6XdOE9DuGzojjktdnmrW8aMq7tIs4tJ+1Szd4W4w5EriOKJr7tz8WSlTH6gKugiuok7GpxbPIJI2QrzGqa7EW0aSbt26/a1a9ZagyZjQrUKzI2k+PU82zXvPq6i7YqvpzmLd9enhNmiEJvjGfNDlLjdERWRbLdiykk88Sm6zsCKwv8YNbVzo5v8+aLWoMk6MIPQ/3k7XO3be7//SsL/5tsuvxWbpFs8mkjzn0kyZk9hr3ON3fJu88s66N7/oVXa8qAjRE0RriMRXRhOu22p06+bSBiPxfIvIOEfm6iNwpIjeKyPki8pOesl8QEfV8fs9T9ukicoWI3C0i3xaR00Vk5iRE5PEi8mUR2S8i3xWRs0VkV5PnuFCW6tgpExiSfCdjUl1BdR+a0IcnHRnsHlNev1xZQl2zRZZpqFXaViRwaD15CRrS1zukv9RnhYZEdRf9jm1asOmxqlWDicbs6m2aAU9S/mTgScAHiGYoOxj4n8BlIvJ4Vf1qqvzXgd9KLbvO/UNEjgM+AbyXKO/8McCfAAcCf+CUewzwd8BngacSzaD2VuChRDOlNcLCiepYXcDpRiZLDNKCmrZQywpqV27gqmLq27aKu7joOLLIK1826jlUYKuIa9otHBrQ5DtOX5kxWoPzzIDTFH4E+AtV1WSBiHyeSChfCbwgVX6fql5WUOdZwD+q6inx3xeLyH2A00Xkz1T1u/HyNwI3AM9S1XvifW8CHxCRt3hmU6uEuX9HRtpV58O1UKO5aVbZZJX97Ir/jj6uczFrYuKmh1ekt8lyM2a5en3bZ/+d7eINPY70+jLu0bLb5ZXJcw+n68j7u8glnD6O0HMrS9sN/phFvqlrM0T3r6re4gpqvOwO4N+JLMZSiMjDgccC56RWfRA4AHhKXO4A4HjgY4mgxnwM2ASeVnbfWcyNqI7R+gwlv3GbnaQ8sUYm4rqy07e6wSq+3jyXqg9UaEOWLyx+Iczb3ldfiJgWHXNVwQihjHC5ZIlr3nZZ9aTr8Gcq6kacBuqqNDpARA4F/hvwb57Vx4jIHSJyT9wP+xup9UfH31e5C1X1WmAdOCpe9Cjg3p5ydwP/4ZSrzSD9A0Nj6OPTfGKxzfKOtbrByk6/Kkz3YYX29YU2etUs1rDMR1X6TdsYr1pVaLJeVkJdq+l+Uijnzi1yCRfVU3QeRn2aamcaGlJzPxH5ivP3HlXdU7dSD+8EBHh7avkXgQ8RWbEHE7mG3yMiD1bVZC7uQ+Pv2zz13uaszyt3q7O+NsNVCiOTUKt8EgEcCeqGk0S/DGlBbfIFo6qglqmrbD1NbpdVR16Dlxc05Ot3LZtaMl2PLwgtrx4LCBo+irD9w9q/0S2qujuvgIj8MlHwTxGXqOoTPdufCjwP+A1VvcZdp6p/lCr+KRH5JHCaiLxdVe8M2G/nzJWohlqUYw1Wcilq5BPn4gYrrLPGZvy9xBbLbDsz1yQWa/H1aEpMy+TkDbEoQwORylqnbbo+ywT+bE+JZnmr1bdNGavVrSv0+PPKViGKCN6iamTwvFH4vCpsbXXy4vNl4CcCyq2nF4jIbxNF6Z6uqu8L3N+HgacDjwYuZWJ5HuIpewiRFUpBuUOBvYH7L2SuRHXRSMKLkv+Df7aSibjuYpVNYIOlVAM7aYD9CdubO+ZmBbWturpuuPOsP9+6KlZrlrjmCXRWXb5jTPDdgyFkTQNnVvFwUdV14JtltxORXwfeBfypqp5ZZdfxdyKGRxOJbFL/4cAa8I140X8AG0z6YJNy9wYeCZxb4Ri8LKyozoO1mpAOSklnldlkhX0cyE08kAPZx4HsA5qZ8iz8GMvNGFOl/9RXX16kbZnlIfsuIsQtG5ULc/1mWa0hfaRlrd+suvLOo4i8Z3BeLNKyKSqbQlXY3hpm8y4izwDeD7xHVV9dcvPnA/uBfwVQ1etF5Mp4+XuccicD9wCficttishFwEki8gZVTX6YE4FV4Pyq55NmmFd9AWnStZpM9ZYI7AqbrLGfA9nHLta9rruiBr3O8WRRx6Ksksghr7685UX7DSV0rtqs3yJvedk+0qrWr3seXQTvVRHXoQcWdkEkqsOz8EXkl4hcuFcC/1tEfs5ZvaGqV8TlfhF4LXAe0RjWHwVeCJwAvFZV73K2ex1woYi8O677GOB04B3OGFWANwCXAR8Tkb8ADidK/vBxT9KJyiz2nTdnpMd1rrLBNkuszXZnzJDXeFUV2rrWafay5iN8i86naa9GiDCVCVgKceOGuoPTy/JcwkXnUJYsF/AQKHuebVmpQfUqgxRV4Fgiy/CngH9Krfs2kdAB3Eg05POPgfsRWZ1fB56nqh92N1LVT4vIicDrgRcB3yPqqz0zVe5rIvJk4C3A3wJ3AH9NJMqNYaI6UnxZjmAyb+oSk2CkTVa8fV7T2zfbkNXNYlTXOh2yoKbrbktYoZo7OK8uaFZcy3TDRPVvOv83slAVtu4Znqiq6huILMaictcQJ24IrPc8Iqu2qNwXgceF1luFuUn+kNDr2+FAmCSE2NoR1zXWWWM9zqW0iZt8oAtBzS7br6AW0cXvHjJJQehy3zK/mz0/YUTefrOv+3ieEcNoi4V/3RtqwFLoWMBJ9qTJeSSN3iqbseU6ce1uxGNWt3ckd3ILhOwvmK/P2gAAIABJREFUP2K2+cjeunUWUeV82qDI2mvaYk32mTVUJiuK3K0P2nEJJy7grPuxKAZgbLTzci/8cHvhm/demMurboEKEzdw0gAl/auANwlEenLsvHGTProYKpNXZx51I327pErShT6DjrJnL2q2vzW5j8sELi10kgoFhtmnOvcstvKUpKxYd2kFJ4Pj04Eekft3gyRtYbJsg5X4+CKrNatxzKOrQKQq9Rata6MfNev4qlzXpoQVwi3MKkFMeXUm9UbbVG9qhiCMbQUptfbyr2Ki2hMmqnNEIuJbqYYwGbeaWK8wKwBpYa36MlDGLduEoObRZT9q3vHliU7eMTQhrHnHFOoODh3ak/di1uUwnHml1H2pwJa0dixGNnN7h5exKofar5rGJxJuKrptjyC6y5Lxq0n5yGKN1m1m5AUuEoI8MWlbTKtYqEXrylJG7Mt6A9q0WJPjgfJztebtq+gFouxztkV2/2nW+fc9403vVqrRK/arzgnTwRvLO8uAmYAkmDSISUPvSwgBzVqI2cu7E9S+KWu1NmmxZi2vGsRUts4usbgKGIGdMJcs+F03IdRa7fJhnbY+i4Ui5E3exzITMfYFg9SPCi4/BKMtQW2yL3WoSQqgOWEFfzL90L7WqsKajg3Is1jzKPsM+WgjOrfNRBJA7P4tt4nRDHMtqvPwtjo7dtD/pPiGISQNWuLaLWqMkuuVN6yi6nGn95NFVTFtZn13rVAZwSmyViE/oUcdd3DW/utEHNeh6YxLY+n6KY2Jam8EJX8QkYeJyDtF5FIRWRcRjWcBcMvsFpE9IvLNuMz1IvIhETnCU991cR3pz9ObOa1qjF2AE7ZwM/9Gc6puTy1bqm195m3Th6B2TRMNe5k62mj4yyR38O2/TvKJrhnS/dO6lWr0SuiveyRwEvBV4EvAkz1lnkM0rc7/IpqO56HAHwJfEZHHqup3UuU/y2y6qqsDjyeYNqzVpoOgqhyfr5FwE0FE39li6va3Fu0nT4BDGqui868rpk2VGTNVLNa8dXWCmMoM5Qkhfc+WpavfflDip0TZco3OCW3Nv6iqDwQQkd/EL6pvUdWb3QUi8k/AtcBLgfQs7reo6mUlj7d1hti3mibkzT9LULPEtOysKeED8KsLqjFN3Xsu7wWpiSCmPtzBQ2FwEb8K9mj1Q9AvrKo/DChzs2fZt0XkZiKrtTeGnLShDolsurgCmqQk3GQF8GdSmt62OZdwXTHt2kLt6/ducphNtD4/mKdtq7UtYZ2Msy5+judJuGvdl8NvwuaSVhPqi8hPAA8A/s2z+tfivtcNEbms7/7UMVD2AXOtVTfnb9YntM66dCWobdL3cJHiMtWvcZlr60vMH1JfqIciRETHIqCderaSQKU6H6MSrf3KIrIM/CVwM/De1OoLgH8hcg0/EPgd4JMi8uuqek4bx9OGtRpaZ5OWb9IYpRsq9+184vZdii3V1Z1lRfW6ZDWuRflXqwYj5e0zdH3ZclHZ8bUgIfde01Zr3RSHQ3UF5z2fIc93W/fPGO9Lo90hNX8O/Dzwq6p6m7tCVV/h/i0inySakf3NgFdUReQU4BSAgw47qI3jnaEpYW374ZjO9bsFsbsX2BHXrVhcJ+Wmt0kaN7euvCE1ZRKb+47TR1OC2hV9T6gd+lIXEmxWpq+1aj9rXWHdYsm5s4fBYIXPhtT0RivuXxE5i0gAX6Kqnysqr6rbwLnAw0TkwRll9qjqblXd/SP3X2v2gEdMXqMeWarLbLDKJqtssjL1mbh+l3c+yXAct6Er4x6u2sg0aaF2aaXWtbTqbh96/CHXNztJh999m773QobdDHXITdt0PozG3L+90bioishpwB8Av6uqH6xQhTZ8SDsM0U3TZD9Llms4CVbax4FssDrlGk73qbrHMxshXC1jk3tsPvpw+Ublm7kf+nZhlhHWqtc6dExr8kqWt229PtalnZe/JslOrpF9bQcX8etiotobjYqqiPwucAZwmqr+eYntloFnA9er6nebPKa6hD4QWQ9YV+6hvP7PJBJ4I7ZWk0YpPf4vRFirMERBbZq0dd90+SLK3Gd1hDVUENsU1oShB4v1jolqLwS/QonIifF/fzr+fko8XOZmVb1ERJ4DvB24CPi8iPycs/kPVPUbcT3PBZ4GfBr4DlGg0suBnwKeW+dkQqgy1q/M2NUy5cuSDCvII5nebXpkajqH6lLh8TV1Dm0nxa8qpm01ikNo6EP7WaOy1YKYQofd5A25yQqGSl/D5AXQ95ulE560QZ3nulpiF1O0MVPmFz839fe74u9LgCcCxwMSfx+fKpuUgSji9wHAW4FDgbuArwDHq+pnSxzPYGnzocgLjnEbraTBmkz1Fn032X81a300Zy21Wce8N1plXhyrBjEVbZd1LCHb9dXHWiSao7pvLKNSbwSLqqrmznirqi8CXhRQz2XAsaH7HQpDSwiRRN+mRdZNCLHCJgAHso8kHMllIrzlc70WCWqe8OfR9hjVIf2GbdKF1Ro67KZoyE2oQEd1bM5YrUPN2d2rlWoZlXpjmHfjQBmasBaxtOPs3WaVjZm+06jMrLC65xhiNTQRgdpF3+mYfrum6MtqTbtxQzJBhQnrUlzW/ywWjcdeGGxITW8spKjWyaE6JGFN3tiTRiQRnEQIV2NLdY0lVtnYabjS/VBFVmaWheq7DmWSSBStq1LOv+0wfq++aNpqLZMsIi+1YVWLNWGoFioM+9iMdlnYX77PhPh1mZ6wedlprPwJ0ZOyK2zE5SMnseuqKxLDNty9Jqjd0pTVWiS8LmVnpykrrE3S1L0yiHbFLNXeGMCvPz6GYK2mMxr5hDEtptF22yQz1/jq8W0/+TvMMvVtG7quSjn/ttai+Gjbas3axrVafRZrUealIsokKGmTerMINXjPmqj2holqRYYgrAnJseRZA0n/almaEtKQ9VXLzm47jN9lyJQV16aCmLL6WbOG2yyx5b3f3JfBIYhpXVq5Z+0x6IWFFtW6LuC+hXW6L2r6WNzzShqzOkJVVUhDy1QpO7uttSJl6SJ/sEsZYc2iSt7pLhiE2zfBLNXeaHXqt0Wg7oPUhBC4mZAmn0nqh9nk576sv/kf37ZFLt6iMlXKZtdhLUhVfKkF/eWKf/OQbfJyBhfdA1VzUhdR9/4ZlKAOHBG5TkTU85mZ/lNEXioi34ynCL1aRH47o86ni8gVInK3iHxbRE4XkZmbQ0QeLyJfFpH9IvJdETlbRHY1eX4LfyeMOWAJ3CEGs41L3vAH9ztrm7IiV0UUm0kCYYLaBGWsVig30Xn6Hi075GaeaeX+Hb6l+lngDallV7t/iMhLgXcTzV7298D/DbxLRERV/1+n3HHAJ4imGH0VcAzwJ8CBRHnok3KPAf4u3vdTgSOIkhA9lChNbiMs5l3cMENxA6dJD53ZTr3l++gmiKgZ152JafM0FcjkW5delj0/a7VAJbeuLgV6MMFJLsPPqHRLnAjIS5wP/kzgg6p6Wrz4YhF5CPAmEXmPqiZneBbwj6p6ilPuPsDpIvJnTj75NwI3AM9KthWRTeADIvIWVb28iRMz9y/z1zgnydrTruCEOi6zum7appi332xodJ1yMr3Povusqfs5vd+yDNa6TjIq1fn0y+OA+zM7v/YHgfsCjwcQkYcDj80odwDwlLjcAUTpcz/miDHAx4BNonz0jWCi2hBdPFxFD3+WmGZN8xa+3/p9nm499eoI6/8z6lPmWmf9tr7l6WXTffbhv236Xh5bJqXW7+Nhz1LzayKyHveVXubpTz06/r4qtXxv/H1UXjlVvRZYd8o9Cri3p9zdwH845WpjohrTZ0Pdzow2+YJaRmTnYciCUZ0mXmSKXqbKCGuReJZ5wbUXtFzuJyJfcT6nFG8SxAXAK4DjgOcDdwOfFJGTnTKHxt+3pba9NbU+q1yyLKTcrc762gzUdzFO+uxbdfuS0mKZ1wgljVl6dps0ReuLaMJCNfolpL+1qJ+1qI81fa/2NWNNCIPsS01oJlDpFlXdnVdARH6ZKPiniEtU9YkAqvqKVB2fBC4jCkhKu3FHh4mqQ58RiMUJx6s9IXnZk9yEEW2L61DHFrZB+ndcxBeCrGCj0CCkstesa9fvYPtSE7qL/v0y8BMB5dazVqjqtoicC7xFRB6sqjcysSgPAW50iicWZWKxuuXSHBJY7lAmbuXaDPzOGB99RwJHxzCxUBPL1V2epktxrULf17OIogbWt37o55RHaIRwqLC6f/us1TJjV8vQ12/QyX47iv5V1XXgm01WGX8nInc006Ka9H1+w1Pu0qSQiBwOrDnl/gPYYNIHm5S7N/BIZucLr4z1qaYYa2OXdpNtO4LqJoHYYMXTv7q800AmwU7T9WT3u7adc3Wov4ebGqPO9mOmTsIIX/BSQojLt65lOpcRvyMlHj7zbOB6Z/jLpcAtRH2uLicTWZ//BKCq1wNXZpS7B/hMXG4TuAg4Kd5fwonAKnB+U+djd4eHoQ9EL9vP5Pa3JlbpstdamFjZvgT9i+TCzaPJeyNr+r2xUOdZybNYQ/AJ65CfW+jwdx7oJOUi8lyi4SufBr4DPBB4OfBTwHOTcqp6j4j8IVGyh/8kSv5wLPAS4BWxSCa8DrhQRN4NfJgo+cPpwDsckYYo2cRlwMdE5C+Aw4mSP3xcVb/a1DkO+w4cKVVdwKENlCt4RQ1R2mJd8gjjdJalaWGFaRHPEtamBXdoItN2Y+3WP7RzLyLkvg3NtJT87d7f7ndTx1uVQQcnpRnmbXQt8AAiMTsUuAv4CnC8qn7WLaiqfykiCvw+8BrgeuB3VPVdqXKfFpETgdcDLwK+R5RR6cxUua+JyJOBtwB/C9wB/DWRKDeGieqckcxGkx4c73PTuvOwLk0JZ//9wkOia+tnjNZrncT8RRbrUAR1VAw0TWGcRenYEuXfTZSqsKjcecB5AeW+SJRYojVMVDPoawabKvt1G53JnJXTDdEGK+xnjV2ss8pmJ9Zm1jEWl+2/NRiCG3FsUcR1cgenl1WxULv0JpSl899u+GkK5xYLVMph6I2Yj9nQpO2p5W2RV7cJajPUDY7qgrrpDdtMgzmEe8uYf4b7dM4BTVqrZepKykX9Uhus7TiEpwV3Uj7dfzVZNztNV3EkZ+i6rOPugyELlY8hW7FlvC3T3Q6+Scpn78mqx1SHUVmpMNhApUVgXC2JMYPrsnX7olwrdSV29/rEsi1BLWtt9CUKYxPTLIYmsmVmu5lsYxZqYwy0T3URmI8WpUX6Gl5TtF/fkJdou8l0Wits7oisb/hBOrtSwryL6bwIaR5DSTjRxPNT57ibOOfR3i8mqr0w0rulW+o0DE1G0mbV5QswcoUxslQnIhySX7VNN29UvtsnfrQNY4P0JbTuPrpKdj8U67S347BApd6wlmbA1LVWs+v1D2vIKptXT1lMTIdF127jNutvZ7ankfWlGr1jLU4H1LFWQ63krOEwk77T6XrKZK6pPjON9ZOOjaxrt4gCMer7yAKVemPEd023DDV1oWutzs5CM52dJiES+fkLChni7zMvjDEhxUJjgUq9Ya3QCHAF3Wf1Fglrsjwp45sJZKyYkHbLmNMplqHP4KpGMFHtDUv+UII+Z7YoCvbwzSyTR5JGYMyYoPbLvF7/0Quq0Svz+VQMlLqRwGUDl9yUb1mJ97OEdaiW7Lw25GPF8kQPFIv+7Q1roUrSd99qlYjgKvOdunUMRWBNUIfJPAnrXFmp43ZEjZYg96+IPExE3ikil4rIuohoPLN6upxmfB6bKncvETlVRK4TkbtF5EoReWYzpzRsmhCGEGFtUggnGWf7e0pNUI22mat7LOlTrfMxKhHap3okcBJwG/ClgrL/m2hqHffz76kybyKaMPbPgacQTRx7roj898DjGTVNCWsRTYtrHxbr0BPIG/NBV89kZ5io9kbonfRFVX0ggIj8JvDknLL/Gc+Z50VEHgC8GjhLVd8WL75YRI4EziKaEX7Q9O0CLotvsnHDMCLG9CwbwyfoblLVHza4z+OAFeCc1PJzgPeJyBGqem2D+2uFvuZbrcNQ+kZDsIZuPAzKQitJU/fZ4K6BBSr1RhtDal4mIhtx3+vnReQXU+uPBjaAa1LL98bfR7VwTIPEhMMYO4MTEyMiyahU52NUoulW/RzgQuC/gEcArwE+LyK/oqpfiMscCtyuqpra9lZn/Showg08T5GTxvwzL/fq3FqoLgM+tHmmUVFV1V93/vySiHwKuAo4A3h8nbpF5BTgFICDDjuoTlWDw4TVGCrzeF+ah8hok1bvLlXdJyJ/C/yGs/g24GARkZS1mliot+JBVfcAewAesvvBaSu3N5oKWjJhnabKJNdl6zYWjybvp0HfR5amsDe6emVzRXAvsAo8iul+1aQv9RsdHdPgMGGdxa6H0QQLZ51aoFJvtJr7V0QOAp4K/LOz+CKin/v5qeInA1eNIfI3TZMN/8I9/IbRMgvp7bBApd4IvttE5MT4vz8dfz9FRG4GblbVS0Tk1cCPARczCVR6NfAgHAFV1ZtE5GzgVBHZB1wOPBs4Fjih5vn0RpNjV22aLcOoT1svqKN4Ls392xtl7rpzU3+/K/6+BHgicDXwjPjzo8APgH8CfkNV/zm17WnAncAriUT3auAkVb2wzMHPO+YONozytOntsefRKCL47lNVKVh/AXBBYF3bRBHBZ4Tufwy0kWnJrFbDCKPtrpPRPYMjO9x5wTrwGqatFIZmtRqGH4tD8GCBSr1hd2MLtCms7j4MY1HpUkhH+awlgUpG57Qa/bvItP0g2tu5sYjYrEWBDHSWGhF5Uc4UoSoiD3LKfiGjzO956n26iFwRTyX6bRE5XURmkp2LyONF5Msisl9EvisiZ4vIribP0e7OFml7Npt03aN8ozaMDPoWT3ueWuFviaYDdRGieJxvqep3U+u+DvxWatl1UxuLHAd8Angv8CrgGOBPgAOBP3DKPQb4O+CzREM9jwDeCjyUaARKI5iozhEW1GSMnb6FdG4Y6JAaVb0ZuNldFk+6cl/g9Z5N9uVNJRpzFvCPqnpK/PfFInIf4HQR+TNHqN8I3AA8S1Xvife9CXxARN6iqpdXO6tpzP3bMkvxVOFdkrjIzFVmDJn0fTqUe7WPZ7ZxkkClOp/ueCGwCXy47IYi8nDgscxOJfpB4ADgKXG5A4DjgY8lghrzsXjfTyt/2H5MVDuiz4d0aI2WsXgMVUDTjF5MXUaQUSnuz3wWcKGq+vK+HyMid4jIPSLydRH5jdT6o+Pvq9yFcWa+dSbpbx8F3NtT7m7gP2hwytFh3tlzStt9rCFYP6zRJn3f33WwZ2GG+4nIV5y/98QTmzTJ04GDgA941n0R+BDw78DBwAuA94jIg1U1yXGQTMRym2f725z1eeVupcEpR8f7BIyUIQirS9axWANjuAzpnm2aub3X68/ldYuq7s4rICK/TBT8U8QlqvpEz/IXAjcBn06vUNU/Si36lIh8EjhNRN6uqncG7Ldz5vdJGTBDE1YfvuOb28Znzhn6vdYndk/X5svATwSUW08vEJEHA78MvFNVQ3+IDxNZt48GLmVieR7iKXsIk6lE88odSjR7WiPY09YTbc4X2hZVj7WJhmtM18kYPiamzaCq68A3K25+MrCE3/VbuOv4OxHDo4lEFgARORxYYzKV6H8AG0z6YJNy9wYeyWxu+8pYoFLPLMLD7QtSKfsxjCaYi8je+eEFwNdV9Wsltnk+sB/4VwBVvR64Ev9UovcAn4nLbRJNO3qSiLgNyolE83ufX+UEfFhrNQDGaLUaxpgwIR0WIvJTwH8Dfj9j/S8CrwXOI0r28KNE/a8nAK9V1buc4q8DLhSRdxO5h48BTgfekUom8QbgMuBjIvIXwOFEyR8+rqpfbercrBUfEGPoazWMMbG4Yjr4jPovJEpP8aGM9TcSeVL/GLgf0cl8HXieqk6NZ1XVT8fzfb8eeBHwPaKMSmemyn1NRJ4MvIUos9MdwF8TiXJjWAs+MNxGwATWMMqzuELqMtCUSjGq+kqi+bSz1l9DnLghsL7ziKzaonJfZDZNYqNYqz1gzHI1jHBMTF0Gb6nOLdZiDxyzXA0jGxPSLIZtqc4z1kqPCBNYY9ExETWGjrXMI8Uiho1FwES0Kub+7QtrkUeOr9ExoTXGholn05io9oW1vnOIWbHGGDAhbRu7vn1gre4ck9domeAabWKCaSwq1rIuKOlGz0TWqIoJ6BAx929fWEtqAGENowlvNiYsxrCwITV9Ya2kEcwiuJNNHI35wCzVvpiPltDoHRMjwxgSZqn2hU39ZhiGYRgNYZaqYRjG3GHu374wUTUMw5g7zP3bFyaqhmEYc4dZqn1homoYhjF3mKXaFxaoZBiGYRgNESSqIvIwEXmniFwqIusioiJyeKrMG+Llvs/dqbLXZZR7enOnZhiGsagk7t86H6MKoe7fI4GTgK8CXwKe7CnzHuCi1LIfiZed7yn/WeANqWVXBx6PYRiGkYu5f/sgVFS/qKoPBBCR38Qjqqp6A3CDu0xEfj3exwc8dd6iqpeVO1zDMAyjGAtU6osg96+q/rBi/S8EvkdklRqGYRjGXNNaoJKIPBx4EvAhVfX5IX4t7p/dEJHLrD/VMAyjKaxPtS/aHFJzMpFo+1y/FwD/AlwLPBD4HeCTIvLrqnpOi8dkGIaxANiQmr5oU1RfAFyhql9Pr1DVV7h/i8gngcuANwNeURWRU4BTAA467KDGD9YwDGN+sD7VvmjF/SsiPwv8OH4rdQZV3QbOBR4mIg/OKLNHVXer6u4fuf9acwdrGIYxdySWap2PUYW2+lRfSPSa9H8qbKsNH4thGIZhdELj7l8RWQGeA3xGVW8O3GYZeDZwvap+t+ljMgzDWCzM/dsXwZaqiJwoIicCPx0vekq87Ampok8FDiXD9SsizxWRj4jIC0TkSSLyHOBi4KeAPyh/CoZhGMY0w3X/isirROQCEbkxzqT3hpyyTxeRK0TkbhH5toicLiJLnnKPF5Evi8h+EfmuiJwtIrs85Y4Wkc+JyJ0i8n0Reb+IHOop93AR+biI3CEiPxCR80TksJDzK2Opnpv6+13x9yXAE53lLwRuBS7MqOda4AHAW4nE9y7gK8DxqmrjWQ3DMGozaEv1pcAPgL8BfjurkIgcB3wCeC/wKuAY4E+AA3EMMBF5DPB3RPkQngocQaQvDyXygCblHgJ8AfgmcCJwcFzuQhF5fJKPQUTWgM8DG0R6psAZwMUi8hhVvSvv5IJFVVUlsNzTCtZfBhwbul/DMAyjLIMeUnO0qv4w7vbLFFX4/9u71xg7yjqO498fWqiXiEvQaCS15RK0DQFiNaIIVUsoCsVw6wvlhfEWEu/SF20ahVCjSARF31DQYGxVircWiWCEUhCLBNrQUBIV0rXGFqHQ1kqlreTvi+cZdzqdPXuWMz1nZ/v7JJPd88z/nPOc/072OTPzzH/4JvCHiPh0frxG0muBJZJuKJ0qvJpUze/SiNgPIGkf8CNJ10bE+hy3EJgCXBARO3PcVtKO4UeAX+a4TwHHAydHxJM5biPwV+AzwPWdPpzvUmNmZn3TTYW+XDzoNA6+xPLHpIHxvBw3BZgHrCwG1GwlsA8o7+TNB+4sBtTcl/uBLTVxDxUDao7bDDxYiavlQdXMbNJpfUWlWfnn4+XGPLjtAWbmphOAqTVxLwJPFXH5/OqMaly2qfR6xXt3E1fLNyk3M5t0JvTh324Uk4d21KzbUVrfKe750vohQB3iTq6892hxQ6N3OWnloLrt0ae3L9U3XgC2D7ovh4FjcZ77wXnuj8mc57eO/Lrtbrjq2B5fb6qkR0qPl0XEsnKApLmkSUJjWRsRc3rsTyu0clCNiDdIeiQiZg+6L5Od89wfznN/HC55joh5fXqrPwJv7yJuzzhft9hTrNszHCLtNY4VdwzpkC3ATtLu+2hxz5ce7+gQV7cHe4BWDqpmZjZ4EbGHdIlK04rBcBawrmiUNB14NfBEbnqKdOnLrNJzkTSVNIP39qKfkoarcdlM0gzg8nuPFvdETfsBPFHJzMwmlIjYAjwGfLSy6mOkWVS/zXH7gLuAy/IlOoVLgKOA1aW21cCHJR1dNEg6k3TYvBr3bknHl+KmA++txNVq86C6bOwQa4Dz3B/Oc384zwMmaXauzndRbppZVOzLhRcKi4GzJd0kaY6kLwFLgO9WytleBUwDVkr6oKRPADcCP4+IR0tx1wEvAaslzZO0AFgB/An4VSnuZmAYWCXpQknzgVXA34Gbxvx8Ea5fb2Zm/SHpVlKlojozImK4FHsR8DXSXc/+CdwCfD3f2az8mmcB15KqLu0Cfgoszoeny3GnkIo3vId0Hesq4CsR8VwlbhpwA3AOadbwPcAXy30b9fN5UDUzM2tGqw7/9lLk2A6WD6lEzbKzEjck6RZJ2yW9IOn3+RufVUg6TtL3JK2TtCfnc3pN3FRJ1+Wi4v/J8WfVxB0haZGk4VxU/DFJF/fjs0xk48hz3fYdkk6rxDnP1ojWDKqlIsdvIx06uBw4iVQP8jWD7Nsk8HngjNIyt1ghScAdpFJgnwMuJpUJWyPpuP53dcI7EbiMNPX+gQ5xPyDVGP0qqQj4NuDu6j974BrSOaPvk0qzPQTcLulDzXa7dbrNM8CtHLh9nwH8pRLjPFszIqIVC/AF0knmE0ttM0hlQ7486P61cSHdXSiAuR1iLswx7y+1HU26ruvGQX+GibYAR5R+/2TO3fRKzKm5/eOltlcCfwZWl9reSLpc4OrK8+8BNg76s070POd1ASwd47WcZy+NLa3ZU6XHIsf2ss0HtkbEmqIhInaR9l6d94roolg4Kaf7gdtKz/sv8DPgXElH5eZzgSM5uKj4cuAUSTN673E7dZnnbjnP1pg2Dao9FTm2jlZIeinftPcnlfPUnfI+Ld+KycZnFrA5KjMTSTk9knRos4jbCzxZEwfe7rt1haS9+dwZjmyAAAACfElEQVTrvZLeV1nvPFtj2lRRqacix1ZrF/BtUjWRf5Gmoy8G1kk6PSKeIeV9uOa5RVmvIeDfh76rk0qnbblYX/zcGRHVKfrVOBvdcuA3wFbSRf4LgXslnRMR9+UY59ka06ZB1RoWERuADaWmtZLuBx4mTV5aMpCOmTUkIi4vPXxA0irSkZelwJmD6ZVNZm06/NtTkWPrTkSsJ82MfGdu6pT3Yr2Nz1g5LRcLf32egd0pzroUEbuBOxnZvsF5tga1aVDtqcixjVtxKKxT3rdEhA/9jt8mYEalJBuknO5j5NzeJlL90hNq4sDbfS/Kh3qdZ2tMmwbVnoocW3ckzSbdsPfh3LQaeIuks0sxrwMuwHl/ue4gXet7adGQi4EvAH4XEXtz812kWcJ1RcUfz7PfbRzytns+I9s3OM/WoDadU70Z+CypyPES0jfNa+iyyLEdTNIKYDOwnnS/wdOBRcA/SAWpIQ2c64DlkhaSDpUtItXD/Fa/+9wGuVg4wDvyz/MkPQs8GxFrI2KDpNuA70iaQvobXEG67vr//9gj4hlJ1wOLJO0m/Z0WAB8gXZZzWBsrz5KuJH1BXMPIRKUrgTfhPNuhMugLZcezkO5E8AvSTNXdwK+pueDbS9f5XARsJM0C3k/6grIMeHMl7hjgh6RzS3tIF8WfOuj+T9SF9IWvbrmvFPMqUmHvp4EXSXfKmFPzWq8gTRj7G+myj43AJYP+jBNhGSvPpKMpDwLb8/b9HOlL4rucZy+HanFBfTMzs4a06ZyqmZnZhOZB1czMrCEeVM3MzBriQdXMzKwhHlTNzMwa4kHVzMysIR5UzczMGuJB1czMrCEeVM3MzBryP54UNcUF3pRnAAAAAElFTkSuQmCC\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from devito import mmax\n", "from examples.seismic import plot_image\n", "\n", "# Plot the FWI gradient\n", "plot_image(-update.data, vmin=-1e4, vmax=1e4, cmap=\"jet\")\n", "\n", "# Plot the difference between the true and initial model.\n", "# This is not known in practice as only the initial model is provided.\n", "plot_image(model0.vp.data - model.vp.data, vmin=-1e-1, vmax=1e-1, cmap=\"jet\")\n", "\n", "# Show what the update does to the model\n", "alpha = .5 / mmax(update)\n", "plot_image(model0.vp.data + alpha*update.data, vmin=2.5, vmax=3.0, cmap=\"jet\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the gradient and the true perturbation have the same sign, therefore, with an appropriate scaling factor, we will update the model in the correct direction." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "from devito import Min, Max\n", "# Define bounding box constraints on the solution.\n", "def update_with_box(vp, alpha, dm, vmin=2.0, vmax=3.5):\n", " \"\"\"\n", " Apply gradient update in-place to vp with box constraint\n", "\n", " Notes:\n", " ------\n", " For more advanced algorithm, one will need to gather the non-distributed\n", " velocity array to apply constrains and such.\n", " \"\"\"\n", " update = vp + alpha * dm\n", " update_eq = Eq(vp, Max(Min(update, vmax), vmin))\n", " Operator(update_eq)()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Objective value is 39292.605833 at iteration 1\n", "Objective value is 24506.628229 at iteration 2\n", "Objective value is 14386.573665 at iteration 3\n", "Objective value is 7907.616850 at iteration 4\n", "Objective value is 3960.106497 at iteration 5\n" ] } ], "source": [ "#NBVAL_SKIP\n", "\n", "from devito import mmax\n", "\n", "# Run FWI with gradient descent\n", "history = np.zeros((fwi_iterations, 1))\n", "for i in range(0, fwi_iterations):\n", " # Compute the functional value and gradient for the current\n", " # model estimate\n", " phi, direction = fwi_gradient(model0.vp)\n", " \n", " # Store the history of the functional values\n", " history[i] = phi\n", " \n", " # Artificial Step length for gradient descent\n", " # In practice this would be replaced by a Linesearch (Wolfe, ...)\n", " # that would guarantee functional decrease Phi(m-alpha g) <= epsilon Phi(m)\n", " # where epsilon is a minimum decrease constant\n", " alpha = .05 / mmax(direction)\n", " \n", " # Update the model estimate and enforce minimum/maximum values\n", " update_with_box(model0.vp , alpha , direction)\n", " \n", " # Log the progress made\n", " print('Objective value is %f at iteration %d' % (phi, i+1))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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DiviUe7Ob2F+blK2X/L2Xqh/FcpzSMcvBJjtogoAUuch0qQQBPsk2yqjl4jOB69sTLEDLnforQFZn7+aqraq3Aj+n/6DSjuM4jjN0Rj3JPhz4bpf6G6gRtFlEjgEOpo+g0o7jOE4Ct8k2zqiFgQMIIa9i7gb272dHIjIJvJPwJPveslEzdJ+PD4m6Hdgp2yt0kClbGRmCk3ibUrnYUip1DpqDNuXqn5OBS/LRxuOnM22p/dZZqjNwrtwSidjWw+By8bDWN8X7Tt1w9lzWZManjrMEkaBybU0G3l8OcnHu9QzKMon4NE7syZfzb4EnAL+tqt0mbgBE5Fzg3LD1iyM5McdxnD0Sn2QbZ9SX8x66P7GmnnC7IiIXEybOc1T187m+rewPl4Zxj0jlJXMcx3HAJ9mGGfXlvIFgl405lsKgzSJyPvAK4KWq+qH+Dj8L3Noq72PqI+3Xbj7ClB9jyhuiXVspeVCJOCUJ59oGHZOT6VJyr62PZa3UvsnUD8u7uNYgKwNvz4xpUi5OeSBD2ru3VC629TaqU+6YqzNtfTIq7+I9VS4ukYibMDd1+56JvYudRhm149OngeNF5Mh2hYhsAJ7YassiIv+bsK72fFX92yGdo+M4znjijk+NM+pJ9t3ARuAKETlLRM4kJOy9HXhXu5OIHCEicyJygak7G3gbIcPCF0XkePPXt2ey4ziOE9G2yQ7y51QY6SVR1ftF5BTgrcCHCG/pF4CXq+o207VbcOgnteqf1PqzXAec1PsMdtOR/szS2vX7VrudlCgfbcqHVmW2FdM7F8oTk/Ndjz4/V/2Zt3tmVWdjxsiBOel3W6JtJtEH6gUc75f4PFPyV05GTp1bo+lXY3l0R6JsJeL4BFJjhikXl3j9xv1KdPq4T0mCgUxgitRhSvuV5nYdlsQ8Krm49LWVUpospNt3hnsXD5WRX05VvQ14Wo8+G4nWCajq7wG/N6zzchzHcXDJt2E8abvjOI7jDIkxEwYmgLY0/KhO9elRt9/rFNcd14nmuH5tJ+DxBN0lYYBZOjLwvLnEO2dXVfpt39YJBLDLSsyTU6ZXZuF/HTluGP17UeJpXJcij2Krh8WSbCrPay4YxaBycWkcY3ux7JiVifocpe6ndn8pHbZQLs5RJ7DEKPLBjioOcfa1Fa40nEt8Nyz/fLJjhV9Ox3EcJ+CTbOP45XQcx3ECPsk2jttkHcdxHGdIjNlvlikWQjXZ6E2/V+315BM/2XX0VhMlamslYhRsN9Fx5o173nzmEk9Mdgwk85OdMbtNPdOF9q9Gl7k0QGolSdP5MYvaSo1UKVtrHZtsbCudy7SlKLHdNr1OpmHba8lhUvW5ZS57YsSn7GU3hlH7+Z/LvL8lZvY6+WTdu7hRxmySdRzHcZK4XNw4fjkdx3GcgE+yjTNml3MKeGgoGrn4iN+4sdLr9bx2ofwuXrxQ/g6PXCjn5OIds52lObMmqtN8JP3YCFC7bTSonERkGWbeyRRN5nktjfiU6lOLWILdnmjLSb+ptpR0DPWiPFnqSLd2TJ0I8iNi0OhNuc/BukTbdEGf3Jg6wf5TknCOJqXjVFu8Ysjl4kZxxyfHcRzHGRJj9iTrOI7jJHG5uHHG63IKQTGGioxz648eVun2Jw+5ZKF8FwculO+YP2ShvGXz+sqYSrD/lKyTitDSDyUy6qDScRN3RUqymk7Ux9uNJjIoCc4ft5VqbiURo+K21L5iUhGfcqTGpC5ogzljc4cZpqdwHbm3REbO9ct93qYTsnAicUiWihkp+v6o413cK0KaT7KN45fTcRzHCbTznzmN4TZZx3EcxxkS4/Uka6WQzab+2qoM8+XNp3Yfn8vzahk04Hmd+AI5GbbJY5ZSIl+VehcP8zyLvH5z3sV1vHHruGg3+cJznso1jlPnfauTIKBEVrbybrxdRy4ukrWj+8PIwitqSMS75wofJQeVi7vhcnHj+OV0HMdxOvis0Ch+OR3HcZyAP8k2jl9Ox3EcJ+COT40zXpPsbmBbq3yzqf9y1G+jKZcG+E7Ze1LleLtOIHFLbnmQ3UedwP3bEm3bGIzS5QW5pO+p867se2WiU7ftbmPiBAGp8XWW2ZSSeg05++rKRLn0XAqPM2gC9iaX8Axqk43HpyI2Tc8uFGO764TZnkhEdoqjv1mSNtnSz8syC+g17ozXJOs4juOkcbm4cfxyOo7jOB18VmiUMbucyoKkd6ORv+LlOIea8vqCcrftNqWRmJIyW3p5QDHTieQDM0Zizi1Pmky0jSo3bG55km2bSfXLyZ4pGXbQqEjxiaYuSOkynVK52G6v7rMMsCbRlpGL60Rv6lfGjdvqmGSKjhmZYxKy8CpTP1nnMxmRlI9t/SjkYrfJNs6YTbKO4zhOEpeLG8cjPjmO4zjOkBiz3yw7WXAdnjmgU33jgdVuNhrUA03ZysjxlYtlqm79ir0lO7pn7LlYR6aaM96KVpbaZZMazEyZcuSpbM8t5Wlc505qIlb/ukxbm8rrKZV+c565qbbSSFCD5pDNycWrE/1SEvG+mfFr6ErOA7dUxi0ZE5tgUm2549h+SYm4836smN5ZGW4/b1NRW5uJws/hfCaSU1ouzqwa8IhPewR+OR3HcZwObpNtFJ9kHcdxnIA/yTbOmF3OWTqRJu4w9Ruq3TYbjdjKTTnpNyVlpWSteNtIxCuNLDVl5CqAVaZtYqJ/r8b5eSsdd8qzRjreaaVjYPc2IxtOG/kqFUAj3m5aSh6EmVLv4h2JMlTlXtuWyjPbBKXexam2Uu9i8/7aXdXx4M3d+yWfkSbGVNo6nsMr1m1fKOck4VVT5vNW46acT9z8Oek4SRPexcsAEXk68GzgOOBg4Dbgk8BfqOrWgvHHABcCJwNrW+PfoapvN302Akd0Gf5UVf2nQV9DP4zZJOs4juMkGc2T7HmEifFVwCbgscDrgJNF5Amqujt5eiLHAV8ErgVeCNwLPJTuXjFXtfZruWmwU+8fn2Qdx3GcwGgm2TNU9edm+zoRuRv4AHASYRJdfGoiK4APAl9Q1aeapmsSx9msqtc3cL4D4ZOs4ziO02HIjk/RBNvma63/h2WGngQcA7y46XMaJmM2yZolPJWlCwcs7trG2n7sEp4HRv1SS32yNtmOHXba2IisXcjahACm6NiPJpjvWs4xPzHRtbx6qlPeua5qk91ubFYz1j47aYyyTSRgH3RMaknUtkQZokhX5rXNJZavACFy2EJHUx50CU8u2L+l1CabWP5RJ9FFaWL0QZfjNG7H7e7rsMbaZM1nzH6+oOZnzMxSlb2VTl7WXlu6HKcpO+zSOT6d2Pr//UyfE1r/p0XkeuDxwD3Ah4FXqGrsPHGGiGwnXPlvAheP2h4LHozCcRzHaZaDROTr5u/cXGcROYzgyHS1qn490/UBrf8fAT4PnAr8FcE2+49R388ALwVOA55D+Dn9KRF5bt+vZkDG7EnWcRzHSdLMk+xmVT2u6HAi64ArCM/fz+/Rvf1QeJmqXtAqXysiE8DFInKMqn4fQFVfGh3nU8D1wJuAy8peRjOM2SQ7B9zdKmei3ljp9xGJ8oZo1weZckXK6j+aTE6+WkX3JQWTA8pac6a8cyI6z/0657DDnOf26Y6kums6WgoyaWTM4ly5plwi/ebaZgrq4+1UeZFMZ2TYuUT0p6aXTqQ+qYNK7nXyvDYR8Skl95bKxZUx3ZfmQCQLW7l4wtQnPlNQ/VylmMvowHZ8ajkPREt6UkkB4nu3RCKucx+OKBiFiKwmPHEeCZyoqpt6DLmr9f9fo/rPAxcTvJS7ys2qOi8iHwP+UkR+UVV/mjmvwwhPyccTnp5XE+IA3gRcB1yX84COGbNJ1nEcx0kyIpusiKwEPk5YK3uqqn6nYNgNPdpLJz7tVikiJwJ/SpCYJwjLi35OWAz/aOAM4ALgpyLybuASVb2v18HcJus4juME2pPsIH+9DhGW4lwOnAI8pY9lNv9M8CU7Lap/Uut/0p4rIpPAs4DbVPVnXdo/29r//cAzgYNV9UGq+nhVPUFVjyVIno8B3gE8A/iRiMTnsogxfpI9pFOcjFyFTzDl4035aFO2HsSQDDJug4dPTEZSVKXNyr1zplyVq2zbVEXm6j4e0pKXlbmslGX3C7CKTjSoySmTU9PI2juiyFTbJvfpbEwbPbE0x+iWRH0sF1sJsUQijuWzVFudIOvDjK5TKhf3OybnXVwiHefahumRbMwwK9d1nErXRHLx6injtW/u61XGDJP6HJUyEemrs5m2IirmCLqXu233ql8+/B1hknojcL+I2G/ZTaq6SUSOAH4EXKiqFwKo6l0i8ibgNSJyH2E97XGEp8sPqOrNACLybOAs4HPA7YQv+z8EHkeINNWNHwAv6DYBt2lJxN9u/b1RRM4E9uv1Ysd4knUcx3EqjEYufnLr//mtP8vrCVGa2unjY7X1QmAr8BJC5KifAm8GLjJ9biGEa3wzYX3m/YSn3Cep6lXdTkhV/7jfF6Gqny7p55Os4ziOs4AOPxjFhoI+G+my0FtVFbik9Zcaez1Bim4UETlQVe/q3bPKmE2yK+nIxI/rVD8p6vZ0Uz6uI0tNr+8ZuxrI5IYcIilP49DW3fPYZJOteBrPRxKXHTNZGW9ktrVVjcp6cm7f1vE8rgSzWBfpjlbiXZ+oH9Q7eBQL+kdJnVutVGIuDQhSR2IuCXSxrhq0Y0UimMTqtUYupioXp2RhW5/zIJ6oeAd398aPPy8lzEUJAnaXBqBI7jBRn/M+74IKzI/ZrBAjIi8C1qvqm1vbjyTYa39RRL4JnJ6TlWPc8clxHMdxOryUanqtSwheIi8n2GAv7GdnY/6bxXEcx1nAn2QhpMi7EUBE9iOEfHyKqn5ORO4iBLQoxi+n4ziOAwS5eG5iUIGzOE7DcmUFnRdxAmFd7bWt7dsJTlXFjNkkOwUcFYobDuxUv7Da69FndV+2dRedMVtn96m0bTe2xl0zq+jG/OREtN3dFjSx1tqB6iwpKLPJpvrkbLI2ApW1ycaRqWYnOkkGbMSonWa5xc7oOs2aZPGVa2iTyM9EvhCDJq6uY3tt2g46Cob5OosiS0Xr/81yNmtrLU2gbm2vKbtr3JaKilZn2Y4l9xmt+DrMm3Lst1Fiky1dwjMAKsL85KA3687eXZY3PwR+m7BE6Gzg/6pq+4Z7AJ2wgUUs9UffcRzHWUbY7FxjyluAD4nIOcD+hDW9bU4mrJMtxidZx3Ecx2mhqv8oIrcBvwp8TVW/ZJrvAIrWx7bpa5IVkUOpBky+RVX3IG1gmpDzl0pUpyPPqobEvMA4j32Q5y2UK3LxlqpcvHvL2s5GQsbZHUlmu6MoSW0q0Z+mqjuzkZnqSMmV4yRONFUfH9/KxTupSr+rjZy3D52lTzsnOv3m1lZ/Me9c25GFU8si4mDsuaDrJaRea+myjrT8XqbllQSgh3wQekvqeqSuZ1xfcpzSa567BiXSbTy+JMJZLBf3+15lg/gXXkNLZanPXPdy6Jg47qAyf79LeJBaS5L2dETkVcCnTBafLwNfjvup6mv73XfPT4uIHEewWp4GPChq3ikiXwP+f0L6obKFpI7jOM6yQ5HiH3R7Gc8DLhKRmwmp9z6lqv/exI6Tk2xrcn0L8OvAd4ArCdnl21kJDgAeTHikvpiQz++vgL9W1ThkgOM4jrMHMKg6tCeiqseIyNHAUwhxj/+PiNxJSMX3KeALdVXb3NW8Dng38AftR+gUIjLdOrE/I7g/X5Trv3RMQlvyNQH+Y8/YLSbc0E95wEL5v+/olHdvWlsZsyhwvT1km+nIM9ZEPLKxbWaN56X1qIRc1Jm0jFziPVmej7ZzPvZc4kg7qV/DTX+AS+TenGSYipS1KhM0PhddKz1mMGnfkpPzyu6PdLSiZI5hekv5uWPmztNSep3qyPx1SL2GXMSn6rUy191IxLsXycWJpADVg6axpzmXqO+2HTGucjGAqt5I54HxUDoT7qeAWRG5qlX+bEmKuza5S/6Q0tBRrSfXjwAfEZFDevV3HMdxnOVKa+57J/BOEdmHsKTnLODvgdUicq2q9kxzB5lJtp/YjNG4O+qMcxzHcZaWcX6STdHyNfow8OFWsvnfIEy4RdTS7lpJd+MTKQrzISKHA28FTiVkWR43yb4AACAASURBVLgaeLmq3tbnObySEN7qK6p6Qq/+izA/Ib7/jcdVml77+NcvlCsS8c1GIt4c7S8l0cSB0S2Vft0Xqu+crXrtWm/jkuDlod9E1zHVPmVycYlUWvc4qX3nxlipv5r8oHugjFWLvE+7e6bmAsinjjPotclRx9t6viL3ruo6xkqbALOmn92XHT8bjdlZGTPRtV98/qnjlErhpdejOr5MMi85pt3X4vegewCKSlKARXJxopyjVCJOjUngk2waVd0F/Evrr4iiSVZEVgOvJSzKfWCXcVqyLxFZQ4iiMQuc0xr3BuAaEXmUqt5feD5HAq8G7izp7ziO4/RmjL2LF2g9RJ5LmO8OZ/GjkqrqEaX7K32SfQfwHIKn1YepHzfrRcCRwMNMFvtvE8JYvZhMjsCIvwcuBx6GB9RwHMdxmuOvgD8hrKb5GgPGiSydoM4EzlPVvxnkYK39XN+eYAFU9RYR+QpB4+45yYrI/yQkg3028Mn+Dr8b2l6w3zV5Ta+s9tq08aGdDXuFrAdxTtJJ5dfM5jLt7oUYL1qfn+oueVn5LZYjrbexHVMaMCElt6ZiGsdt6Zye1Xu3JC7y6siLObW/VGzbNZUMVmX5RnPxcKvXIO2RbCm97pbSIBOzCenWysK2T04utm3bWZ0cs501pm1Vz/pwnKm+x6Rk7pT0HO/Dfg5SUnY8Pu1tnbuG5rWZGNw7bQzuRbGL6U5OBi6ViC3dAlWY/QSb7Ng/tzwXuKhO4IlulF7NWSC7jKeQhxMW+sbcQDU+ZFdEZH+CPffPVPVuEek1xHEcx+kDt8kyCXypZ69CSnMavZ+QjWBQDgDu6VJ/NyEQcy/eDPygdT5FiMi5IvJ1Efn6Ym8lx3Ecp03bu3iQv72AjxMiHDZC6ZPsa4C/F5HPA1fRZaJU1fc1dVLdEJH/Afwu8DhV1V7926jqpcClYR+PKx7nOI4zbijlcbL3Yv4EuFxELiU9332xdGelk+zjCfbUg4Hf7NKuQMkkew/dn1hTT7iWdwHvBTaJSDsk0yQw0dreoardI+4vsBPYGIrfOrZTvS7qZh94H2jK04lyvI+S/JoxJuKLjQYzF9lk7ZKe1HKe2JZlbYATSftT96Uo8b5Ttso44tNqY/tM2Udt4oDQr/sYa4eNbap2HyVj1sxH57mtE2trpfVtn02UAWYSbbllGPOZthLsWzWRqI+3ralwOlEfBS7bZdp2rFu5UN4+0bGVWvsswA5sW6e8lX2GNsbaPXeYfnZfUL2Xd0Rt3chFwKragbvbhKH6GbU5knfbHMlzhXmRc6S+T2x9HOC2m79Is0Gy9gZ+keCgexbVbONKWHaqUP5LpHSSfSdwF8E7+Ebqe1vdQLDLxhwLfK/H2GNaf/+rS9s9wB8Db6t5Xo7jOI47PgH8A3AQ8DIGm++A8kn2aODpqvq5QQ5GyMP3FhE5UlV/DCAiG4AnAq/sMfbkLnVvI/yieClwc5d2x3EcpxCP+ATAccDvqurHm9hZ6SR7E4uEpVq8G/gj4AoReTXhsfsi4HaCHAyAiBwB/Ai4UFUvBFDVa+OdicgWYLJbW3dmgVtbZSNFfevB1W6pJTgp6TjeXpeoLw3WXVnCEy0pmDOy8GRHipqcSOfhtDJXSQD1uE91OU2nbKXaeGmNbauWt3Wtz4/plNezpTpmttO29l4TdMxKv/fSvT7eTpVjyW020ZaSjiEtyZUGfbfk5OISidjWR5/qlWttuSOl77vWXMT97AUF3a9T3r6240u5daoj/dqkG1CVhUvKYXtd17bSJVH2c1Ad033ZE6Rl4coSnvloCY+RhXdVJGLzZuWW85VS8u0df095xKcSbmPAp1dLqXfxK4FXtya/2rQiOp1C8BD+ECGgxC3AKapqV6EK4auk9Pwcx3GcAXHvYiBEIXyFiMTeOrUofZJ9NcHp6Qci8gMWOympqp5YsqNWjOKn9eizkTDR9trXSSXHdBzHcZxCTiPolhtF5N/pPt+dU7qz0kl2nmAA3sMx3sX2pW97YLXbzzpelRxl6q30UlW/qtspL+ScXDzZfXVRHPHJehtPmPLshJXCqtqklX9zeTBT46cqEZO6e/DuH8u4CYk3Vc72u7cjcqy8OzpZq1zenahPlaGeXJzyQl4O3sXTiX5rE31iI5Dd3q+gHhCzvfaAjmS/1sjKBx5QvfBb9us8JFgpOVWG6n2YMnvETjv2fp9IeBfnPhMl3sU2qlPYtpGdzP5mzHNDfE9VT6hDdkVCYT9Lt9UORhj12MUAnEAID7gVeESX9r6Wgha9Nf7E6DiOMx6Mu3exqj64d69yimyeIvLAHu1FUrHjOI6zfHGbLIjIfj3aj821x5T+ZLlKRJ6oqlvihlYkpishcgVclszR0RRtbvn7on4HdoopifigaIhtK5CBS9kdJwioJBIwgf8njeQ1EUnMmQDo3Vic57V7/lQb5CH2FLZy74HcZcqbu/YBOGi202/tncZT+C7TKZaLU222PicX27feut6lJOG4zcp+OUl4LtGvlJREHL+dtl9KFs4Eo6h4xu9ryvslylD5uHBA9/qV0XX/hQM7F3vNwSZYyVT35Avdttvk8uNaL2ArN++IAl2kSCZcSAScgCjoxIwxPeXMCcPyLs6NaZc9BHzMlSLym92CG4nIMcAXCAEriij13t0GfFZEKg7hInIC8DnC+lfHcRxnD8afZAE4FPiwRBloRORoQj70G/rZWekk+9uE36UfayW0RUSeQJhgP0tIDeQ4juPs4cwxMdDfXsBpwPFUYzf8EmGCvQk4o5+dlTo+bRaRJwFfAd7bCpz8z4Tgyc/pJ2C/4ziOszzxfLKgqj8Wkd8CrhWRO4APANcQAiT9tqruyO4govhqqupGEXkycB3wHOAzwNmqugeFl1ZgV5f6faub1r56qCkflOgDsD7nk98isq8uStzcq57qkp7Ucp65iXgZQn922Nj2ZYP6r0ou56nedyXLdg65/+eVMdN3mg1btubz2CZr+6XsszmbbCoaVKoM7DKWmh3mbd9h6uO7zG4Pan5bmSgDrDbmwdXGuLMyZYctXcKTs8mWLJey9m6o2LnXznXs7xMHm3siE2PO2lqryQKqy3RswoCUTdcSP4nZz04l+lMqqhNUP7/2a6FOEgDLCOY+D6sYUNVvisjvEJTaPyTkU39SK6BSXyTfNhH5/UTTp4EnA58HzmnL1sNOdec4juM4w0BETulSrYTc5b9DyGX+q2a+ayTV3Xt6jP376GR8knUcx9nDGdMn2avppLJrY7c/0frfaKq7RhfkLg9W0EkMYJb+ro9ENxvjY4MpW+k4kodXTHaXouIlOIOyO5E8oLKcZ2owXSkOuG6j66RyvsZLeFYn2vaf78jF0znp945EvS3H2/0u54GKFLzLLOe5z8ib90Vv7Y5EeS5RD92NFPGYmNS7aO/WeCHKpJFhV89277evuSX3jaKz2gQBlWtlJWK7ZAfKkyQUMG1e9P7T1SVeO01Us+2JHLJxogq7bCdnEmkTm1bshDM/n0jcEX/GbWSnUol4KZbwdGGMIz51y/LWCMlLrqq3ptocx3GcvY9xdXxS1euGte/xu5qO4zhOkjGVi4dGzvHpW8DrgX8qWaLTCr34Z8AmVf2r5k6xSVYBh7XKv9KpPiHqZreNdLzioI62OBHJw9brtyIRV8rR5Z5LhFqxUaLiMea4cfKAfqnKZx29Kp9PdrZnPWRyw95rhNOcp+/dBWUok4hTnsbAfWb7PvMS7JBY+k3JxVaojNW/YXkXxx/glJRs/ee3mrf3vuh6HGik331TUapipbXkBeWSYyQiU+2ztiqybz2gc4Wt2cJ6vE9FaUBT93gd5iummtznus9yKXvJI5GIPB14NiE5+sGE/K2fBP5CVbfmxrbGHwNcSJB417bGv0NV3276rABeAbyYYOi7iZCf/BOL9wgi8mngtar6zcLXMA28BNiuqu/M9c29bR8kJFn/WxH5KPBvwH8BPydYXvYHjiTMVmcAJxLCTf1tyUk6juM4y4sRLeE5jzAxvgrYBDwWeB1wsog8QVV3pwaKyHGEoBDXAi8k/Gx+KNWAoAAXtY5zPvAN4GxCMKXTVfVzXXa9Ebi+9XB5OfBl4NuquvBzSEQeQGe++x3gv4Hn93qxOZvsJSLy3tYLeQHwMhan+BHChHsF8BvD1LUdx3Gc4TKiSfYMVbWL5K8TkbsJQR9OIkyii2g9nX4Q+IKqPtU0XRP1O5gwwV6sqm9p9xGRo4CLCZEKK6jq/xaRtwMvJ0z4+wEqIvcR5rj1BClUgK+2+l1WEiciK0Co6r3AXwN/LSIPIoSaegBB4LmLkGP2q90CKS9PpoFjQvEos2j97GqvA87+yUJ5zURHoto628mBsHVLNR9CMii4pdSV1MrIcYIBK1MlPJoHJReYvZosoPO2x8EorGy3Zr5zDSUT5CEZAKI0mERBOZZH7zJ3rtWpbN6AWL+ysnCJpzEsvVw8l6hf5PVsA2oYyT12KK5gv5Nt0AsrA8fvm/ViTrzvEt0fq41cPJWQiHOBVCYLvItjUhNO1SQUmX3qSMR1csNaGpSSh+1dHE2wbb7W+n9Yl7Y2JxG+wF/c4xCnESbEy6L6y4D3iciDVfWWLuf1I+ClIvJ/gF8DfpXF892X+nUK7ifi022ER3zHcRzHaZJ2utTvZ/q0vWWmReR64PHAPcCHgVeYcIcPJ/xcvDka3w7sfyywaJJto6o7CZENG1Fm9xJTuuM4jjMoS7GER0QOIzgyXa2qX890fUDr/0cIvj+vJDhPXQgcDrQl5AOALV0cdu827SPDJ1nHcRwHaMwme5CI2MnyUlW9tFtHEVlH8OmZo7cTUTtr3GWqekGrfK2ITAAXi8gxqpp7El4SxmySnSI4ohHU/RZHPOfGSq//yT8ulL/B4xfK35565EL53rkoQ8C2RHLmHBU7bKJ+RMTLdix26YO1ZVVtYdUXbW1hEyYaVSU6UJxTIWWTtRb/eIxtS4y3Af3vi7wHrB01ZYetxhCqttnxObvroDZZS8o+C4sjQPWzL6i+tpXmbdturueaao7yovcgm/jeljP3x9Rs535bNWXKGZuspdQOm2LQJXMVBr0JYGi22wYm2c2qelyvTiKympBo5kjgRFXd1GNI20vgX6P6zxMcmh5LkJvvAdaLiERPs+0n2Hgh4FAZs0nWcRzHSTGqsIoishL4OEHuPVVVv1MwrFey9PbSnxsIT1QPoWqXPbb1/3t9nOrAlCZtdxzHcZyBaS3FuRw4BXiKql5fOPSfCZrIaVH9k1r/2xL1vxDEo+dE/Z4LfLebZ/EwGbMn2QkWYt8c1ak9jasqvf7iuosWyi8+8W0L5e8t/BCiS27YRLmUZfROxLLaZEHUnFhuriz7MflCK91iCbFk6UPpGHMcm/M1XrKSWnazK9EnbkvJwLmszqlkAU0wWVAulbUr/VLRn+KdzCfqY5m/4H2Lj1O5j2LJut0nk9yi2m++Z59impB+lwkjcnz6O+AZwBuB+0XkeNO2SVU3icgRhCTpF6rqhQCqepeIvAl4TWv96hcJT8IXAB9Q1Ztb/e4UkUuAPxeRrcB/As8iTOpn9jo5EfklVf1BUy+2+GqKyJHAM4EHUV0BB6Cq+oKmTspxHMdZGkYQjOLJrf/nt/4srycEgxDCU1Gstl5IcB14CSHgxE8JuV4vivqdD2wjBFFqh1V8pqpeWXB+N4rINcA7gU/ZqE91KJpkReQpwEcJL/hOFj9P9Ixt7DiO4yxvRhHxSVU3FPTZSDW3a7tegUtaf7nx88AbWn/98vvAuYSlQneKyPuAd9eVmUufZC8ixIp8TiJaxx7CPAs+pBs7IdOv5jcrvV514msWyhtNQtnZlEYFaU/hVJ9lwKAB05eEGtdw0o6Jfh4mYnMNTHyae+CVbpZldu83yl722sY9C4+qvh94v4g8ihBd6iXAn4nI1cDfA5/JxVeOKXV8OhJ4y549wTqO4zhOGar6bVX9Q0IQjBcDhxCyBd0mIq8TkUNK9lM6yd5Ij/CljuM4zp5NewnPIH97IRuAR7X+7wS+C/wJcLOIPDU9LFAqdPwZ8DYR+Q9V/XG981wO7CRkNAKufdRC7Y8vf3il17vO7sSfXjXR0Rd33G+W+sfB+aftpUzkid1DsR+clOdh/OFKSk62OpdjNFWOd1vQb6WpN2khgKoXcCrIQ2mAh5xH8aDUSRBQUi4dP1n6HkwlyqXv9USiDMxPjn7FYcVLvsmEHE3YE4YQwGYpwiouR0RkFcED+sXAE4FbCQEv3quqm0Vkf+BSgm34U7l95ZK2fymqOhD4voj8kMURM1RVT8RxHMfZoxl3m6yI/DXwu4Sc6VcRlv18zkaPUtV7Wqnx4nlyEbmfLLupeg3fVOuMHcdxHGfP4XnA+4B39vAovpEBk7af1PepOY7jOHssI0ravtx5YCvdXRZV3UxINJ+ldJ3s7wKfVdW7urQdAJyuqh8s2dfSMsNCusIbj+lUf7y6kONumzf4MaZhfRy2xjBt1oZM2oTO5hLHyZ2XmJTtpfRDNp+x1e40Brmd053rOz1t4gjZxN3xti2nEoHHbXaMeatWmrdmdbQKa7Vp25fBsHdRbJ8t+aDFZrnUmJxNdXWibG3R+5hy/JorbeZarUm9N/F26r2KV7+l9jedKAOzU6sWyjvpXo7vw5QjTuoeL13WtsLYZ3dPRmECJs3nPPUmlr7ZTdPj5Y0qdvEyZ4eI/JqqfjVuEJHHA19V1eKLVOpJ8A+EYMvdeHCr3XEcx9nDmWdyoL+9gNzT0AR9Bl8qvSK5g67F19o7juPs8YyzXNxKXNCe61a0ti2rCSEhN/ez35x38WOAx5mqM0TkEV0Oejbww34OunTsBH7SKv9Hp/raE6rdDjVle4WONvrV+mqY9xXTHQk/HQok85umVEqeHNKSAkP8IbO/Tq00ZyNg2frQ1tnePtERK/dZe+9CWUrl4v0qO65iFfxUcHpDLI9OmlymK025NGdrKp/sMBME5JYXpdpsOScXW4l4X3vdU+VcW25M6r02ZY3ujx1G9Lb33mxCOobqvVtn8kgt4ZmoyMXRzTZp3oWSSHCl5CTm1L798acIEXktIdEAhCfVr2S6v6OffeeeZM8CXmsOGgdybnMX4MkBHMdx9nDG+En22tZ/IUy27wXiJPKzhFy0JUkGFshNsm8D3t866I+B3wG+2eWgd0TZ5x3HcZw9lHGcZFX1OuA6ABFR4D2q+pP8qDJyS3juBe5tHfTBwE9L3JqXNyZBAOb6bYkEvBuN3LPB1B9kytNVEXF3SrrNSbrW8zj2UFyoL9N7KlJWpBHZ7ZT3ZM6j0Epwtp+t3x7FUrLS3nYjVm7db/tCed/7o+s+kyiX5upNRQ5KRRcC1nTU64rn8b5GOr4vkqh3FJRjSTh12jnpOJW8oFTKTpWtJLxPJMlKSqa35QOigx6YKB+QKOfazHG27ld9ddsT99TOhHQc2rrfuykW50U2n50JKxd36nfFn/GUXJx7pFlGEZ/G3btYVV/f5P6K3hpVvRVARE4Gfg04jDBL/buqXtPkCTmO4zjOKGmls7tIVW9plXP0lT+9dJ3sAcDHgJMJfj33EEJOSSu57TNVNQ616DiO4+xBjHHs4pOBt7fKp5BfpjOUJTx/A/wy8FzgY6q6S0RWAs8keFq9nRCKag/CCnX3VZs2G83LOmvb8rp4f8bzOCX91iGSolZMdpesrFwcS179kgv2b6U5K9+tZntlzFbjw7qKjpVhaqJTXnVA9XfZtJW/7EvISW6pgPS2bN8rIw/H22Ik4n0TZQA1UvYOIyXvMPVz0VuwK1EuJRm4P1L2Vpvb0MrfYgM7lAaWSMnFsUtySiK29QdHY+y2SRh2/8GdVRP3TKyvDLH31DZTtvfhzijqRSq5Rand0X6Wpoxr+85pEwBjrnpT7pqzwWgS0nGOQaXjXH3BvsfUJvtgU97Q5L5L3/YzgD9X1X80J7ILuLz1lFsn+7zjOI6zjBhj7+KhUTrJzpNeC3sTDPjo5DiO4yw57vgEIvJ84AhVfV2XttcBt6hqz5jFbUrDKl4BPCvRdjbwT6UHdBzHcZxlzMsI8R+6cSfw8n52Vvok+xngrSLyWYID1B0ES8ozgYcDLxORU9qdVfWL/ZzE6JikYzSyhqXVi7u1sUtJtiTKMdMFAcLjNmvHNbbWFZFN1tpep0yUqcrygkhYsHYlW04t58kFWbf2r1XGRrUmWsKz1dhhJxLHnFtb/cV80AM69/XaKRM3KxVAPm5L2RDvTZQB7k+02fpoCY+Ye2KNaVuTij4F5cuQUpQmsU8F5a9jk01d23g5jm0rsc9Gbfcd0rFbWjvsXZU1c7CFTpu1z+4wn994KZm10ZbIoPFnp3rvdsqrpjr39+xMFGXKRn+r2GvN90Im10ij0ZtyNtl2OXIhGVPHJ8tRwA2Jtu+TjuPfldKr+fHW/8MJsRtjPtH6L4S3bLz1BsdxnD0Qt8kC4efHQYm2X+h3Z6WT7Mn97thxHMfZs/BJFoCvAv8L+GiXtv8FfK2fnZUGo7iun50uX1bCQq7YozrV01WJqZIgwMpsVmqJ5WLbZpeM2PHx1U61ZZIATJm8tRXp2GiaqyJ9c1VCuk0Rf8gquWHNvmxUJysPl+47Xm6xc6qzvf4BnQu8z37bFsrTcaB5uxTEWlGs9GtXaEXLcZISsS3H0t5sos3Wly6dyL0dqe+60iVNKem4VC6297G1rpQmCDCS8Ew0ZsvaTkVKBrb18XZqzPbI9FPNNZvKIZs2tayqfK6672t+XXpSmqks57HL/KKOqehNOYm4RD6uITGPu+MT8EbgahH5D+A9hMBLhwEvJCTNObWfnfUlvovIQcDxBAvLZ1T1bhGZBnaqajr5jOM4juPsAajqdSLydEL8/neZpo3A01T12n72VxrxSYC/Al4KrCLYXX8ZuJvgefxl4KJ+Duw4juMsL8Y44lMFVb0CuEJEHkZ4qNysqj+os6/Sq/nnwB8BFwL/SiUZK58hRHsqmmRF5HDgrYRHbgGuBl6uqrcVjj+mdR4nE8St24B3qOrbswOBoJltaJWP7VQfF3U72pRTuWVz3oGWlIwctyWYiBIEWIl41YSVsjpybTbIecLTOIeVxmwA9onIk7NkTDXIe+yR3F0q3Gft1q5lgH0e0Nleva0TS2mllYhTknC8vc2UZxN94rZUIoPl4F1s+5XKxXa8lYjtvRuN2WX6bd2vs4NUhKa4LVVefH+s69rPmi12RGNs3tlq9Kfe0jHEEZ86nzE7Ec1NRBHSps1xjHdxMhJUOJBp63pq9aTjuL7b/Wq8i90mW0VVbxp0H6WT7AuBC1X1TSISvwM3U+jSLCJrgC8SvqbOIby9bwCuEZFHqWr8dRaPP641/trWOd0LPJQuQQ4dx3Gc/vFJFkTkkYR86icS4vTfA1xDSCLwnX72VTrJHgZcn2jbyeLfwyleBBwJPExVbwYQkW8Tokm9GLgkNVBEVgAfBL6gqk81TZ4FyHEcx2kEEfllQm7ZHcCngZ8RNM0zgN8WkV9X1W+U7q90kv0J8Ai6T2iPBm4p3M+ZwPXtCRaglVroK8BZZCZZ4CTgGMJkXJMpwoMv4dW0+c2o22NMOSUR5+Ri21bqKWiwASgmI+9iuwh+quI13Nn5qsjTd2pA7+LZyAu4ZEwqgEXVI7kqQEyZiAU24cAak6l1H6py8ZqJTr/VJlftmv06Y9YcbvpEiQymZjvXZs39Hd89SXkNx9vLTS62bSnvYlPWKLjH9rWdIHDbp7rnb40l2VSe1x0Z00BJv9hT2Paz96QNRhHfq9a7OPZmb5MKlgLVz1JKbo7v/fkpk4hgbqJreXeUVIC5RACbUok41S/+nuoRjMLlYgDeBHwX+A1VXfjCEZF9CObNNwH/X+nOSsMqfgy4QESeaOpURH4J+D/Ahwv383DCycfcQMVI2pUTWv+nReR6EdklIneKyN+IyOrsSMdxHKcnSvgxMcjfXsDxwJvsBAvQ2v5LQk71YkqfZF8HPAH4EnBrq+5jhAhQ/xe4uHA/BxC07Zi7Cbp3jge0/n8E+FvglQSXpQtb5/HUboNE5Fzg3LB1eOFpOo7jjCPuXUzvfLHN55NV1R0ichLwP4HTCM5OdxE8ii9X1ToCWL+0n7ovU9ULWuVrW45YF4vIMar6/XiQql4KXAogcpwuuExaSfgp1TFHProTtvL2uzoT866bjRulzS0L6cXkucABlbbuuWFXTcfSrwlGkfB8nIr0zZQclpKOF8lfFU/h7t6aOyOJ2sp+9nys1/BiWbv7a1tjJN7cGNuWGhNfGyu/r5nqPiaWEO21XpU458Ue3s0lqrLvR/zkkIrVO5uQTW193LYz4RWeG2Ml3tLjpM5tZzSmer91f52l1yNF/L7Nl3gXZz4v1tN4dqZzLrujVQNMRt7GJaTk4pyM3OOb2uViIKyeeZWIXB3JxWuBV5D2T+pK8U8WVZ0HPtT6q8s9dH9iTT3hWtrxfP41qv884Un6sYTgzY7jOI5Tl1cRVrDcKiJXAj8lOD79FrCG4B9UTGkwimmCNPuLhEflnwLfUNXS1aJtbiDYZWOOBb5XMDaHR5xyHMcZkHF/klXVr4rI8cAFBOX2AIJJs/klPCIyRYj09CKCT2LbBU6BGRH5e+BVqloWuDa4Q79FRI5U1R+3jrEBeCLBxprjnwl+nacRAmC0eVLr/9cLz8FxHMfpgidtD6jqt4GnN7GvXk+yVwKnEEInfo4QXUkIHkSnA39MeAr9rcLjvZsQOeoKEXk1YbK+CLgdEyNSRI4AfkQIgHEhgKreJSJvAl4jIvcRglIcR/i18QG7LKgIE8np0Y+uSuzn8ZaF8jsOfMlC+esmNNSuyX0rYyrRgiypJRUA0x37+Qpje60kAZhI2/ZSSQFyOTFLozxZdlaiPNnxnfp4WUeJDXLxeXY3GNlzjm2ydkyqX+qaLe43Z/qllz2l+KYpMAAAIABJREFUbMe5QPOpc66DtQfm7OcpW3rKVhvv277vsxlbaclxcku8Uq+n9ImqtF/J5JG7JyfMeHsPLH4PukeDmpo2CQbmqmN2zxibbB2/ozo22S63oYdVbJ7k1RSRZxBCFz5dVT/Vpct7RORpwEdE5HdU9ZO9Dqaq97eSu7+VYNsV4AuEsIp2mhLCCsB4idGFwFbgJcB5BNn6zXjcZMdxnEYYR7lYRN7XR3dV1ReUds79ZHk28NHEBNs+0idE5GPAc4Cek2xrzG3A03r02UhHmrb1SghYkQta4TiO4zj9cArlS3MaW8LzWODVBfu4khB/eA9gjgUn5c2d6EKx/LXeODofzB0L5UMO7JT/O5Z7tpjIkik1cDp6b4wsvKpSziw5KVgykpe8uvfLSUQl8lFOtrSkZMKmScnIOSm93ph0tCBLHZk+RU72LJFec0teSsaXjhmUUsk9d21T+6je++lznqz0KzMNJE0Y5nNtl/MA7J403w2TiehPdfAlPEWo6oZh7TsX8ekXCDbYXtxGNXW24ziOsweiCPO7Jwb664WIPF1EPiEit4rIDhG5SUTe1Apb2GusJv4eE/XbmOj3lNS+h0Xud9IaFkdt7cZOFrv0OI7jOHsaCnNzQ3+SPY/wcPYqYBNBNX0dcLKIPEFVey3HfD/VZOoA3XK9XtXar6UodV0r8MQLgF8n5JM9V1V/KCJnA99S1RtL9gO9xYjDROTIHn0eWHqwpWeGhXgVXz5hofb7n31cpddrf/v1Pfe0z/pqoPrtJkrTrplVcXegGvgfqpGdpoyUZD2Kc/kt63i2WlKyUE76LfEKhbRnah3P1lKJeX5+sC+H2JN7ob6GDJyXOgeTjnNyXolMX+0/+usJpV7h6UhbaS/72Pu8tzkgR+q65cwEyc+o/VxHEZ922e060Z8sA0R8GhFnqOrPzfZ1InI38AFCoIcv9hj/E1Utibq0ubBfhVbO82sJc9uNhHQy7afskwkpZV5Yur9ek+zHS86JPg3BjuM4zvJDVSqJ5odzjMoE2+Zrrf+HDfXgZfw1QcX9JUIGOvvL7TpCntliclfz+X2fmuM4jrPHEibZJXF8OrH1vyQ07h+IyJ8SEkpeD7xWVf+tS78zRGQ7YTnoN4GLVfWfCvZ/KkEevrUVG9/yE/r8IZCcZFX1A/3saM/AyMU3P6pT/Z5qYIn/pCMl85hO5MjpdZ0A8nGe14r8k7BQxxKR3YeVjnNB/Eu9WVOUeA7mvEerMnA6V+dsIlBFJQ/o/dUMhdbjsiK5W0/MmWhll70EqdyupTk5m2RvW8+fez0lCTEWBWLZtVC0gVisl/1UlBxjtUngkErSYHMPh37dvfFjWbnTp+yGyH2OSrzP4+8P7PZkIjDFoEEqum3H6OJAGcNGRA4jxEC4WlV7Re67jLCi5b+BI4A/Bb4oIqeq6rWm32cIT8e3AIcQgiB9SkSep6qX9TjGKogSV3fYjz6/Nfa2rwLHcRynJqrC3K6BJ9mDRMROlpe2sqEtQkTWESIKzlGgnqrq88zmv4nIFYQc5W+gk3McVX1pdJxPEZ5630SYqHN8mxDL4V+6tD0Z+Eav87T4JOs4juM0yWZVPa5XJxFZTXjiPBI4UVU39XsgVd0qIp8leALn+s23Aif9pYj8oqr+NNP9zcDHRQTgH1t1x4rIWa3jnNnPOfok6ziO47QQds8Pf1oQkZUEx9rjgFP7zWzThX6cb7N9VfWTIvISQgrV329Vf5AgIf+RqnZ7wk0yZpPsLuDOVvk/OtVXnlrtts6UN3eMSTNHG8PSQenoTSsSttaYih3WuPcPGh0ov8Sj+1ueC8yeCgBvE3THCQJSttdtW8x6822RoW5bojyTqI/bSsqlAdOXwo6bY9BPamp8XF9iX43HTCfa1iX6AEx37I6713XKM+vWmvKuypDt6zr32BrjH2FttbFvwBo6basqSdc793TVbjoae2T8vWC/M4qjPw3j21uBIdtkRWQFcDkhlOHpdZbZmH3tS0hW89Ue/SaBZwG3qerPurS/D3i/qn4JQFXfKSIfAn6NEGzpLuD/2iTupYzZJOs4juMkURn6JAv8HfAM4I3A/a3crW02qeqmbpnYROQ84GGEvK5tx6fzCDnVntPegYg8GziLkDnudoLj0x8CjyPE5O/Gs4BzROQ2wlPrB1X1R8DVg75Yn2Qdx3GcgAJzi3KzNM2TW//Pb/1ZXk+I0tQtE9tNwFNbf/sB9wFfAV6gqvZJ9hbC0+ebCQnX7yfkG3+Sql6VOKdDCBP/7xJi9r9aRK4nRJf6qKre2++LbDPGk+xPOsW5yN5+vQliZWUuK1VuiG7EQzsddxuZbLdZqsC66vKC+TkTfHzSRFUyOSjj2FFVWbfz9tn4l7HcnIowVBLJCarLdrZXluOYZTqzVbl4q5GFd28zbVvMdYul3y10b9uW6BO3pWTllHQcb9fJyVlS3zSly2lS9TnpN7XsJlXOta1LlHNttry+Gvlol5GV711vlpKt65TXxJ+xymepIxfbezoXZSplusl9XlLmmkokqEz0t92p6E+l0n6OZRDxqSQYf7dMbKr6GYKjVK+x1xOk6H7OaRvwD8A/tCI+PQ94LiF849tF5NOEiFRXFYR9rJBLEOA4juOMG3MD/u3hqOrtqvoXqnoscDzwPsKkfSXwExF5Sz/780nWcRzHCShjP8laVPWrqvpHhChPbyXI0H/czz7GTC6eoBPn2b70+6rdNpqyzbVgpbD4ZrKy40GmbCSvXVFM0Pl1ieDjazvSUZzrNsVERb7qP0FAyoM4Poft8x3pd/u2jtfwzLaqXMwWc7FScm8s/abaSuXiknIsF9u2VPSoeEyJF/Iwv2xK5d5akZj6LEOZ9BvLxesTbbY+9xmbM17/JiLYzihP604jJa9e25GSU3JxnL+5TjKHXL7fFDYa3K6S6E/dtpugPck6AIjIUQQ77XOBDYTJ4qP97GPMJlnHcRzHSSMi+wNnEybXXyH89PhXQmq+f1LV+Gd3Fp9kHcdxnIASwgmMGa3gGKcTJtYnE3xOvwe8ErisR4SoLGM2ya4iPPED2KQA1QQBFbnEypPWCTmXpj4pJ1Y9kndPGg/JVACLqvpVIb2gfi7q1zsARSXY/3wkuZlg/duNLFzxGt4WeVuXyL2lcnFuTGrfJdIx5ANdJNmVKM8l6mNK9bjUx3Nlpk+qLbEsY2SewtGYmURbTopPeoJ3XtvuubVYtpk1nzYZ+c5pIyNXgllUzTN1Egmk8iznZGSbMKAamMJ2igcVlPtFYcBYOHsqdxCWBd0NXAp8QFX7ilGcYswmWcdxHCfLeNpkryMs0fmsqjb6LO+TrOM4jhMYU8cnVX3qsPbtS3gcx3EcZ0iM2ZPsFB2b7CGm/pBqN7sEJ2V7zUUrKl36YNzzrT6xnTQ2MpRNKlCebNokYJ/t2J9soubZaBnELrNUh23G5pezdZbYYevYZHPXvY5NtoK98jsS5Xi71Caben9sv5WJPlBmnwVM0obqmDXd+8zY/sBM4hxKl+OURNDqtl1CyXKpRccxS30qNlmTLMAspVsVJYqfneh8FipJ12sYLlO+EVlSyQLCSfRX7rYdM6ZPssNkzCZZx3EcJ4lPso3jk6zjOI4T8Em2ccZskjVLeCbNsp0NUTeTH6AiHefyY6auZCqKULw93dnBLrtkJhoyNT1LN+yyn/lMqiorBdt+u80xF0mGJUH4S4P9l8rFpQkCSo5Tue5xvmabHtJG/tqRqI/bUhJxLDFb6jgvrkyU4xtvdaKfrTc5faM8wNU2ayZoODNLk988pbl/50wOW5PP1i7zWRnJxfbzNpFYZmfNNjnm502EtcxntChZAKQjd80k+pTik2yjuOOT4ziO4wyJMXuSdRzHcZKMacSnYTJmk+wEC9GdjjbVj4m6bTBlK8OUBlZPyco5Tz+bKHkuLSvFnr/diMfsttu2bGXhXED8foPw59pynsJ1jlOSQ7YiEVt5GKpScEouznkXp8ql3sWl2JslJxfbc7AScUmUqhw2ulemW0k+29J+TXw7pTyPK8k+Ohu7piPPehMZykrJNqD/ZCY3bPFppuTjVLIAGJ538XhGfBoaYzbJOo7jOEnc8alx3CbrOI7jOENi/J5k26/4KFN3UtTHSsn2CqVyj8YUB6Ow5djrNbA7J/1aKpJw9LZaKTolC5fKxaXexSX5XOtIvzkP7eR7kgsSkZJObblULs7JsHUkWkvFtpCoL8XKjvFrS2mNKe9m0h70KY/XeHsyUV9Hls5hz3Ndqj7yorZSsvmM2ZyvsUeylZItVlZOysM54u8IG5zCg1EsW8ZvknUcx3G645Ns4/gk6ziO43TwSbZRfJJ1HMdxAv4k2zjjO8keasonVW0dJzzk6oXyHRy8UL5ztpNIYOuWfSpjKhGTSqnh6p+0vVaWAEVj+rXD1rGV1lmOU2pfzdldc8HhF6hjD62zWLA0QcAwFyLa46QSDtjjx18BqQuaSWRQYoeN/RFKbLI5e2I20UOCOgkGrO3WLnkzEaN2RfbVXYkE7POFn/dcNKgKKdtr6bJBZyT4JXccx3EC/iTbOD7JOo7jOAGP+NQ44zfJzrWk4ZmOvHrkQ75X6fJ2XrZQfgcvWSh/Z+qRC+XNhxxUGbPdRNfZOd89CH8sA81V2ia79ksu2YH00pz4l2jJcpim5eI6S4VybSmK5OJchKSSMblg/02GKIq/3XL5ZZcpqfcjfj+nC/rlpM46l72OXGxJ5Zaei94nk+zDBvjfnZCRi4mXBtkIUB7xadkyfpOs4ziOk8bl4kbxiE+O4ziOMyTG7El2Bvh+KH7r2IXaH1/38Eqv1574+q6jV9GJ7LJPFGh+ik7eye0TnWDqsxMdr+P5qerl3jnbaZs1MlnWu7DiUUz3cql0WxpVqUQiLpV+Sz2FU/W5X9mpoEhZUlKyLdtA+zmaTAKQIyd/9/uRriNJx9HJEp7tufctJQuXSp2jykeb6pdKNgBUrkdF0u0uI4e2ATXaOtewfd42RbU7PjXOmE2yjuM4ThKfZBvHJ1nHcRwn4N7FjTNmk+wscGsofuuYTvV7qkHBr5x8xkJ5v+N+tlBeP9VJhjrRsAue9S6ueBTH+WNnEh7FOem2RBYulX7rBO5PScSlgSUG/mWdCnQf73xlor5OBIxckIc6unbqoxq/nlQg/0yA/6LjDJFBJWYK6utScm6526OSIMR+zzRwojZhQCpZQDYpSev/TpwhMmaTrOM4jpPEl/A0jk+yjuM4Tge3yTaKT7KO4zhOwB2fGmfMJtndwH2t8nc61Vc+qtrNXJV7N3YyCdz7CJNV4KCqEXJ63fbO8IQ7fpyoeaext1YSDNhA5E3YR5uM+FQnelMdW+ugpsoKOVtYnaU6JScT2z23J/oNmsA9Z5O1r6dOuKRUmyTqM9Sxv8f3VCqRQKrPcmYyuobTiRNPJIDP7ztRhshG3Ppvr6U7PjWOB6NwHMdxnCGxp/zucxzHcYaNOz41zsgnWRE5HHgrcCpBd7oaeLmq3lYw9kHARcDJwC8AtwMfBd6kqvcXHJ2OhHZ3p3rLfdVu1+7bKVu15memvKHqGz9zqNm2OShLr3BJLtV4e9DlNIMG7h/mEp46FKmwg0rCdU8g1VZHm8tFfEq1rU70ycnNJfUZSs0Bgy7hyX1e+mVU9shF+XUTS3BKv0CaiprlNtnGGekkKyJrgC8SFqyeQ3hL3wBcIyKPyk2UIrKWMCGvBF4D3Ab8MvB64KHAs4Z79o7jOGOAT7KNMuon2RcBRwIPU9WbAUTk28APgRcDl2TGPpEwmZ6mqp9v1V0jIgcA54nIGlXdnh7uOI7jZBmB45OIPB14NnAccDDhgemTwF+o6tYeY+PA2W0eq6rfMv1WAK8gzCuHAjcBF6rqJwZ/Bf0x6kn2TOD69gQLoKq3iMhXgLPIT7Jt99tI22ULwYGrwOVxFXBYq2zlr+iu2mTK303saku0bRyPWW/KdaTjnPyVahtUuq3jKZwbU+Ix2rRcbEkqt/FtUhrlaaCDZtqsjJv7dkvJtaVycYnXcdyvwXy2TSSDaFIWrsMwn/BSuWoryQZS80uGEu/i0bu/nkeYWF9F+LZ9LPA64GQReYKq7u4x/v3Au6K6H0TbF7WOcz7wDeBs4GMicrqqfm6gs++TUU+yDweu6FJ/A/CMLvWWqwlPvH8pIn9AeJN+BXgZ8M4ym6zjOI6TZDSOT2eo6s/N9nUicjfwAeAkgkkxx09U9fpUo4gcTJhgL1bVt7SqrxGRo4CLgZFOsqP+DXMAcE+X+ruB/XMDVXUGOIFwzjcAW4EvAFcCf9TsaTqO44whbcenQf56HaI6wbb5Wuv/YV3a+uU0gmx5WVR/GfBIEXlwA8coZo9ZwiMi08BHCBr+8+g8yV5AeGv/IDHuXODcsHU40E4MkJHFrKRiZSnrXRxfOdsvJRcnJaEMpZJZHYm5VMZtcswwg1HUivEwaDAKO35H5gRSH7WUdFzn+FAmF9v6NVSpE7RiQOoE3l9q6XiYlEjHOfrNJ2sftZbOu/jE1v/vF/T9AxH5U8Iz9/XAa1X130z7wwnOtTdH425o/T8WuGWAc+2LUU+y99D9iTX1hGt5AUFKOEpVf9Sq+5KI3AtcKiLvVNX/igep6qXApQAij6th1HAcx3H64CAR+brZvrT1PdwVETkMuBC4WlW/nurX4jKCevnfwBHAnwJfFJFTVfXaVp8DgC2qGn/f323aR8aoJ9kbCL8yYo4Fvtdj7COBe8wE2+arrf/HAIsmWcdxHKeQZryLN6vqcSUdRWQdwU9nDnh+r/6q+jyz+W8icgXBPfUNBHPismPUk+yngbeIyJGq+mMAEdlAWJ7zyh5jfwbsLyJHWe9k4Fdb/3/S8+grVsCaljxmJZn1Ub91iTY7JpZU4ni/bayUlZOLS6XOOjFf+/X0rSP9lh4z1aeffiUUS8epuMY56TYlw2Y81osCUDQRsLlELi4NZmHLNeIVW+rELs7dh5bc53IUEvMwv0VLvzNK+0xn2tqMKOKTiKwGPkNY1nmiqm7qMWQRqrpVRD5LUDrb3AOsFxGJnmbbT7AmEtHwGbXj07uBjcAVInKWiJxJ+BVzO8YlW0SOEJE5EbnAjH0/wdnpcyJyjoic3NLl30Jw0f7KiF6D4zjO3skIHJ8ARGQl8HHCWtnfUtXv9BhScuZtbgCmgIdEfY5t/e+lmjbKSCfZ1jKbUwhrmj4EXE4wQJ+iqvZZUIAJe36quhE4HvgWQRr4HCG4xaXAqQVrqxzHcZwcI5hkW4EiLifMBU/JLccp2Ne+wOl0zIYA/0KQi54TdX8u8F1VHZnTEyyBd3ErRvHTevTZSBd9SlW/BzxzOGfmOI7jjIC/I8RFeCNwv4gcb9o2qeomETkC+BEhStOFACJyHvAw4Bo6jk/nEUIBLUyoqnqniFwC/LmIbAX+kxB29xRCQKSRsscs4WmEVcADW2UboenQqF9q2c2gaTjr2FpL+9WxjzY5PqbOmEFJ2WEbt8+WHCiOlrQr0a9pSiI25c4zFw2qT1KXJtcvdx+mbK917KuD7qskt23TlNpnS7+bUkt4hp9P9smt/+e3/iyvJ0R/WqRmEkIjPrX1tx8h+t9XgBeo6leru+F8gqfMy+iEVXymql7Z2KsoZLwmWcdxHCfNCCI+qeqGgj4bidRMVf0MwVGq5BjzBLPiG/o/w2bxSdZxHMfpsDTBKPZaxmuSnaCzJOcoU3901O8gU04pg01EOCq5messfSjdX5PSb50PZulrq0OdZAwV7I/oWFKto0uXJAIYdK1STB252LbViDBUSp3lWilZN7eEp18pN5ZkRxVlquR7ponbo5dc7DTOeE2yjuM4ThpP2t44Psk6juM4gdE4Po0V4zXJCh2J5IGm/jFRvw1mXfOk+Vk3Y6S1OJ/stkS5Tp7X3JhU8gJL7pdorSD6NVgK7+ISSr1cs6Sk5NKLW5pDdlBK5OIBIzmVEl+OQT3wU/XD9EgeJnW+iVPexqXexd36jSbV3VgxXpOs4ziOk8bl4sZxk7fjOI7jDInxe5Jt/0ozgf9XPOL+SpfHHPLNhfJOphbKW8ygLfdXswps27JPZ2OL0XGsrJyTmGcS9bm8tan6Ukm0Sel4Ofz6Lbmbm5Atk+Q8klOU9ktlaRyR3Gtp4luj5PrGxxmFR/KoZOTSz3VuTOp1DxKMIrdfpxbjN8k6juM43XHHp8bxSdZxHMcJuONT4/gk6ziO4wTc8alxxmuSnaNjFzU30uGH3F7p9iw+slD+Fo9dKG9kw0J59drtlTF3TXfCRG2Z7Nhrd0+u7XTKRV9JJX2PSdlUc675/X5o6kSPWs7Uucvr2KuHej2Wse21NDh9v5Rez5StNddWkgA+PoelSPRemoggF/Wq176X4NYaJ8ZrknUcx3HS+JNs4/gk6ziO4wTc8alxxmuS3QVsapU3dqrvuPfgar/9ug+fMB4Bk5F3wMREZ3tislPePWmXXkS6zKAy5qAMmiAg1Sc3ZtCECTH9xupv+poPuu+9gUFfd5NPTrl9DbqEZyly0JYux6kTVS0lF7vjU6N4MArHcRzHGRLj+tvbcRzH6UYq7olTi/GaZOf5f+2defgdVXnHP98k7KGFFENYhIC4JGIVTBWhQgARVLTtU1Bk0VijQAVRRASDkMRUgrgXFRCUAFaUXSk0KcUEsQ2SWhAiBFAWwaRJTKIJCWF7/eOcm9/8JneZ353l3pv7fp5nnpk5c7Y59868c95zzvsOzC5eMBD87HWjBkW7YNJZG463Hb46kXz4huPV67cdlGbtmq03HD8/yPpTQheTnkGcxZFAWq3UTppG19pR4xapYm5GkSrEMtW9vfgEVTWxpei2acf/cpZ4WWcnN6JMH7RZ1cV50vvs4lJxdbHjOI7jlIQLWcdxHMcpiV5UduUgMT/9oYRh9psGx1qxapeB49ckLgz2CTCYRmqhRn5mm8VrR13cTC2VJV476uJG6ZvRjhp5qLMl202TJ067tJN3J5w5dGLtZFZnDs3SNCKrkYosBizKpB11cZ+91bsd/zkcx3GciC+ULRoXso7jOE7ETT4VjQtZx3EcJ+I92aLpMyErNtxy0oH6valoybGXRxPHOySOR2YsstlYaaNrzcY6hzq+mj7Pa4mpzOU8VS3bKSuvTiwBKnp8NYsj8DI7Os2WVJVVbjtWojrl3D3LtXqO2Wu0bEPvyRaNzy52HMdxnJLos56s4ziO0xhXFxdNfwlZAVvUMW+SVv08njhOLplJLuFJq4uz+NRsR6VapvWldoz9Z8m3VX5Z0lRFUVZzyi6nEe0sg2qm+i1SLZzX4UOZ5SRpZvEpS7xOLO1pRlYLZ3VxIVs0/SVkHcdxnBZ0w9fvpoOPyTqO4zhOSfRXT3YLYGw8bvaxlmyVpLo4mSY5OzmdpswZo+2oXvOqaztRZl6KnOlbtNWdqmY+t+NfN2+abmOodUurfhvN1M3rVKBosr5/XF1cOf0lZB3HcZwm+BKeonEh6ziO40S8J1s0/SVkN2dAXZykV/2nFmlgv0zVcV6qUq92m7o4r0H8LOreMmcXZ6XIcsq8n6yzi9v53dp5fzRSETdTHbsxisrxiU+O4ziOUxL91ZN1HMdxmuDq4qJxIes4juNEXF1cNP0lZEcwYOS/mYH/LIb7mxn7b2ccN+vYUbOlFI3Sd2KcrZvIO6bazWOyVS2nKfo/lOV/XATtPC9ZSD7/6XyzWIMq855zj8l6T7ZI+kvIOo7jOE3wnmzR+MQnx3EcpzIkHSXpeklPSFonaZGk8yVtO8R8zpJkku6qc+3xeC29/X1xd5KN/urJDmfAyH/SN2zaYkuyVZLqnjUNwptdK9pPa14D/+2o/Xrlw7ZIY/9541Vl8anKvKumKr+1RdNMldwqvF0avbOaqYtrx5aMUIm6+AzgSeCzwFPAPsBU4GBJ+5vZS60ykLQncA6wtEm02THfJIvaqG8uNqVH0nEcx8lN6V/V7zazZYnzeZJWALOAicAdGfL4NvB94NU0lmPLzWx+nooWgQtZx3EcJ1J+TzYlYGvcE/e7tEov6VhgX+D9wA0FVq0U+lfIJmcXj0ldS6qPkx91axocp8+zzkhudK2ZSjhLvLzWZPJaEcpaThEMVR1XxEzhslTERT+NVc3gLcsHbdY65/WpW3ReWZwKFPF7NBq2WNMgPF2H7uKguH+wWSRJ2wNfBc40sxVSHf/gA7xb0lrCQOH/ATPN7KYiKjsU+lfIOo7jOCmqX8IjaRdgOnC7mS1oEf1C4GHgihbxfkLoHT8G7AicAtwo6QQzuzpfjYeGC1nHcRwnUsgSnh0kJYXlpWZ2ab2IkkYCN8dCP9QsU0lvBT4A7Gtm1iyumZ2aSnsjMB84H3AhWyq1/09SjbNDKk7yvJG6OO1PtpEqudmM5Cxq5WbGxxsZzWimYs5LJ2Ya5zXe0G3GKNqJ1w5Z1LhZ/cl2G50wZpEkq4q8kYq4CB+0WZwCZDGaU/zs4uVmNqFVJElbEXqcewIHmdlTLZJcAlwOPCWptk5kBDA8nq8zs/X1EprZi5KuBS6QtJOZLc56M3np5sfIcRzHqZRqjFFI2gy4DpgAHGZm92dINi5uJ9W5thL4JPC1DPk07QUXjQtZx3EcpzIkDSMsvzkEOHIIy2wOrhP2NcLEplOBR5uUOQJ4H/CkmS0ZWo3z4ULWcRzHiVQy8embwNHAvwDPSNovce0pM3tK0u7Ab4DpZjYdwMzmpjOStAoYkbwm6f3A3wG3Ar8jTHz6GAPLfiqlciEraVfgMwQ1weuBrYA9zOzxDGmHxbQnEhbeLCL8CNdnKvwlBsYokhqR1BKeUXs/veF41fLtNhy/tGSbTMW0RaMxpmbLA/JacmpUfhFWpvJS1jhsmctxuvmTNev/I8vSll4axy1L85l3+Vp6rDSLU4F2aLaEp+GYbOnq4nfE/ZS4JZlGsNIkQg+1HdO/jwGjCTPiuFH1AAANw0lEQVSRRwHPAAuAI8xsdhv55aITj8RewHuB/wV+Brx9CGk/TzDJNSWmPwa4VtKRZnZr0RV1HMfpLyoxRjE2Q5zHCYK2VbyJdcLmE1TRXUEnhOydZrYjgKTJZBSykkYTBOxMM/tSDP6ppL2AmQTVgOM4jtM27oWnaCoXslmMPzfgcGBzNl7jdDXwXUl7mNljTXN4AVgej5NLa0YOnmz27uE/3nA8e8fDNxwvWbVntprmtcTUTppmS3iGmqZZ+izhWeO18+/r5uU4vUI7QwvN0hTZPkX7re0VsjxjRaiRk++9uupip2h66fXxWmA9G88gWxj34wm6eMdxHKct3Gl70fSSkB0FrKpj6WNF4rrjOI7TNq4uLppeErJtIemjwEfj6Xpu0QMA3JKIdM7gNLOqqFjn2IEBpXm/4m3gbVDD2yG4i4ssng1T0zbwhkq/t+cgeknIrgS2k6RUb7bWg11RJw3RZualAJIWZDH3tSnjbeBtAN4GNbwdQhvUjs3siE7WZVOknTVInWIhsAXwilT4+Lj/dbXVcRzHcZzm9JKQ/Q/CiPxxqfDjgQdazix2HMdxnIrpiLpY0lHx8I1x/w5Jy4BlZjYvxnkBmGVmHwYws6WSvgKcLWk18EuCLcpDgPdkLLquu6U+w9vA2wC8DWp4O3gblIpauOUrp1CpUaHzahY8YpxZZjYpkW44cDbwEQabVbyu1Ao7juM4Tht0RMg6juM4Tj/QS2OydZH0cknXSfqjpD9JukHSbhnTbinpQkmLJa2T9D+SDiy7zkXTbhtImiDpUkkPSVor6UlJ35e0RxX1LpI8/4NUPmdJMkl3lVHPssnbDpLGSbpW0vL4TCySdFqZdS6anO+E3STNis/COkkPS5ohqUTvIMUjaVdJ/xrfaWvjf3psxrTDJJ0t6XFJz0q6T9I/llvjTZeeFrKStgbuAF4DfBA4AXglwaZxloficoLq+VzgSGAxMFvSG8qpcfHkbINjCJa0vkHwjHEWwR3UAkkvL63SBVPA/6CWz56EVdNLy6hn2eRtB0kTgLsJs/gnA+8EvkzwhtIT5GmDeP124EDgc4T7vwz4FPDdEqtdBjVHLCsJjliGwucJnnAuIrwX5hMcsbyzyAr2DWbWsxtwGvAisFcibA+CyZLTW6R9PcG8yYcSYSMI47w/7vS9VdQGL6sTtjvBKeD0Tt9bFW2Qymc2cAkwF7ir0/dV8X9hGGEZ3I2dvo8OtsHb4zvh7anwmTH91p2+vyG0w7DE8eR4X2MzpBtNMF87LRX+X8CvOn1fvbj1dE+WMKt4vpltsGdsYSnPzwlOe1ulfR74YSLtC8A1wOGStii+uqXQdhuY2bI6YU8Ay4BdCq5nmeT5HwAg6VhCL/7sUmpYDXnaYSIwDvhKabWrhjxtsHnc/ykVvorwEdLS9Vq3YOU4YnldLw4ldZpeF7KvBR6oE76QASMVzdI+ZmZr66TdnKBu6QXytMFGSBpH+Jp9MGe9qiRXG0jaHvgqcKaZ1bUc1iPkaYe/jfstJc2X9LykpZK+IWmrQmtZLnna4HbgEeACSeMljZR0CKF3fLGZPVNsVbuSLI5YnCHQ60J2FGHMIc0KYPscaWvXe4E8bTAISSOAiwk92cvzV60y8rbBhcDDwBUF1qkT5GmHneP+h8Ac4DDgiwRV478VVcEKaLsNzOxZwsfGMIJQWU1Qk94CnFJsNbsWd8RSML1ku9gpn4uA/YF3mVm9F9Umh6S3Ah8A9q3zYuknah/cV5vZufF4blybPlPSODPrJe3GkJG0JeEjYzRhwtSTwJsIEyNfAE7uXO2cXqXXhexK6n+dNvqaTafdvUFaaOBwoAvJ0wYbkDST4K3og2Y2p6C6VUWeNriE0Gt/StJ2MWwEMDyerzOz9YXVtFzytMMf4v4/U+FzCBN/9qE3hhDytMGHCWPTe5nZb2LYnZL+CFwq6WIzu6+wmnYnbTlicRrT6+rihYQxhDTjae0wYCGwR5zyn077HBuPSXQredoAAElTgM8AHzezqwqsW1XkaYNxwEmEl0ttOwDYLx73Uu8l7/PQjHYn0lRNnjZ4HbAyIWBr/CLux+WsWy/gjlgKpteF7I+B/eL6RgDigusD4rVm/ATYDDg6kXYEwR7ynB7qveRpAyR9HJgBTDGzi0qqY9nkaYOD62z3ESbPHAz0ksnOPO1wG2HCy+Gp8JrrswX0BnnaYAmwvaT0pMc3x/3TBdWxm3FHLEXT6TVEeTZgG0KP837C9Pz3EF6QvwVGJuLtThhTOTeV/hpCb2UycCjhhfosYXyu4/dXdhsQjFG8RHjB7pfaxnf63qr6H9TJby69uU427/NwXgz/AvA2gnGSdcAVnb63KtoAGEtYvvMwwZDFwcCnY9gCEmtPe2EDjorbtwnrZE+O5wcl4rwAXJ5KNzO+B08nqM+/Hd8TR3b6nnpx63gFct8A7AZcHx+E1cBNpBZdx4fHgKmp8K0I6wKXxD/V3cDETt9TVW1AmE1rDba5nb6vqv4HdfLqSSGbtx0I60BPj0LqOeAJYDqwWafvq8I2GA/8CPgd4QPjYeBLwPadvq822qHlsx3Pr0ilG06wfPYEQbvxK+CoTt9Pr27uIMBxHMdxSqLXx2Qdx3Ecp2txIes4juM4JeFC1nEcx3FKwoWs4ziO45SEC1nHcRzHKQkXso7jOI5TEi5kna5A0g8lrZA0JhU+XNI9kh7pJpdrksZKMkmTEmGTJP1TnbiTYtyxFVaxVvYwSfdKOiMRNjXWpzTb5ZI+Iel+Sf6OcfoafwCcbuFUwsL4b6XCzwDeCEw2s3WV16oxi4G3AP+eCJsEbCRkY5y3xDRVczywExu3a9lcAryMYDnJcfoWF7JOV2BmS4FPAv8g6WgASa8CpgKXmNm8DlZvI8xsvZnNN7NlGeIui3E7YQ/7DOBKM1tbZaHxg+jKWL7j9C0uZJ2uwcyuJBgov0jSDgQXdMuAM1ulTahkD5R0k6Q1kv4g6ZtpNbOknSRdKWm5pPWSfiXp+FScMZJmSfp9jLNY0i2SRsfrg9TFkuYCBwEHxHCLYXXVxZI2kzRD0uOSnov7GZI2S8SplXGipOmxDqsk/UTSrhna5M0EzzItna5LOiK22UVRxVwr+yRJ50taImm1pKslbS1pL0mzY5pHJdXrsV4DjJe0f6vyHWdTpdf9yTqbHicS3G3dDexJcCC/egjprybYnv0WAw63tyGocpG0DTCP4HP0swQbtccDV0na2swujflcRTAi/+kYZ0eCE4m0a8Qa/xzLHh7vAYLt3EbMAt5LMMZ/F7A/MCXe87GpuGcD/01QRY8GvhzLmtgkfwgedFYTDOQ3RNIHgMuA6WY2I4Yly55LUPuOB75IMBa/D/Adgl3fk4HvSVpgZkmXeffG8o+I9Xec/qPTxpN98y29AecTxmevH0KaSTHNxanwKcCLwKvi+Skx3sRUvNuBpcDweL6G4F+3UXljYz6TEmFzqeNYIFG3sfF8b+obpz8nhv91qoy5qXhnxPCdW7TJbcDP64RPjelHELQEzxPGvOvd3x2p8Bti+PGJsO0J3lzOq1PWzwiuIzv+v/LNt05sri52ugpJfwGcQHiR/42kbYeYxY9S59cQhkXeFM8PBJ42s7mpeFcTJurUnFPfA3xa0mmSXqdE164ADkyUma4DBLVzkltT5/fH/W4tytmZoG5vxFeBaQQPK5c1iHNb6vyhuJ9dCzCzlYQPlJfXSb8s1sNx+hIXsk63cSGhZ/Qugmr0/CGm//8G57vE/Sjqz/JdkrgO8D6Ck+8zCa6+npZ0bkFLUmplpOuRrkONFanz2gSqLVuUs2Uibj3eT3BOf3uTOCtT5881Ca9Xn3UEl5KO05e4kHW6BkkTgY8A55jZbcAM4OQhTpzZscH503G/AhjDxoxJXMfMlprZx8xsF+A1BN+70xgYb81DTWim6zEmdT0vfyB8sDTiUEJv+DZJIwsqM80oYHlJeTtO1+NC1ukK4gzg7xDUtF+PwRcQJkFdJmnzjFm9N3V+DGGizt3xfB6wq6QDUvGOJag8f53O0MwWmdlnCb23vZuUvZ5svbY7E3VLclzcz82QRxYeIkykasRCwuSpV1KeoN0DWFRCvo7TE7iQdbqF6YTZvJPN7CUAM3semAy8mjCBKQvvlHShpMMkTQHOI6wTfSRevwJ4BLhB0uS4dOUq4DDgc2b2oqS/jFamPhGvHyrpG4Re4ZwmZf8a2FvS+yRNkPTqepHM7AHgB8BUSefFup5LmJD0AzO7v166NrgTeIWkv2oUwcweJAjaVwCz2xgDb4ik7YBXMfBR4Th9hy/hcTqOpAkEQxRfSAsYM/uFpK8DZ0n6kQ1eIlKP44FPEZaVPEfoHW8wiGBmz0g6iLAUZSawLaGndYKZ1SYePQv8kqC63p3QE14EHGdmNzcp+wLCB8FlwEhCr3lig7iTgN8SluWcA/w+pp/W4v6Gws2EezmSsGSoLma2KLbJT4E5kg4vqPx3EX6DGwvKz3F6DplZp+vgOLmJRiG+B7zSzB7tcHW6BklXALua2ds6UPZtwHIzO6Hqsh2nW/CerONs2kwDHpQ0wcwWVFWopDcAhwCvrapMx+lGfEzWcTZhzOwxgmp6dMVFjyEY6nCtgtPXuLrYcRzHcUrCe7KO4ziOUxIuZB3HcRynJFzIOo7jOE5JuJB1HMdxnJJwIes4juM4JeFC1nEcx3FK4s+YEOenQYnw4QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Plot inverted velocity model\n", "plot_velocity(model0)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_SKIP\n", "import matplotlib.pyplot as plt\n", "\n", "# Plot objective function decrease\n", "plt.figure()\n", "plt.loglog(history)\n", "plt.xlabel('Iteration number')\n", "plt.ylabel('Misift value Phi')\n", "plt.title('Convergence')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] _Virieux, J. and Operto, S.: An overview of full-waveform inversion in exploration geophysics, GEOPHYSICS, 74, WCC1–WCC26, doi:10.1190/1.3238367, http://library.seg.org/doi/abs/10.1190/1.3238367, 2009._\n", "\n", "[2] _Haber, E., Chung, M., and Herrmann, F. J.: An effective method for parameter estimation with PDE constraints with multiple right hand sides, SIAM Journal on Optimization, 22, http://dx.doi.org/10.1137/11081126X, 2012._" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook is part of the tutorial \"Optimised Symbolic Finite Difference Computation with Devito\" presented at the Intel® HPC Developer Conference 2017." ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "hide_input": false, "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": "3.8.8" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 4 }