{ "cells": [ { "cell_type": "markdown", "id": "817d905f-3017-44d0-9eba-09abd70c5caa", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Time-dependent fields and currents\n", "\n", "It is possible to define an arbitrary time dependence for external Zeeman fields, Slonczewski and Zhang-Li currents. This is done via defining an additional time-dependent prefactor that is used to multiply the initial field/current values. Two different mechanisms can be used:\n", "\n", "- Defining the time dependence in a Python function.\n", "- Writing `tcl` to be added to the `mif` file.\n", "\n", "The first option, defining a Python function, is generally much simpler - but a bit more limited than the second method. Nevertheless, our recommendation is to use this option unless you need advanced features. The general concept is as follows: when defining the relevant term from `micromagnetimodel` you have to pass two additional arguments `func` and `dt`. `func` is a callable (usually a user-defined Python function) that takes one argument, an arbitrary timestep, and returns the value of the prefactor at that timestep. This function **has to be differentiable** with respect to time (first derivatives are numerically computed internally). Internally, this function is evaluated at time steps separated by `dt` starting from the initial simulation time (t=0) and all prefactors are passed to OOMMF as a list together with the correstponding time information. Therefore, `dt` must be choosen properly. Too small steps result in too much data that has to be passed to OOMMF (very large `mif` files), to large steps can result in too coarse \"resolution\" of the sampled function and too large derivatives that can result in a failure of the simulation (and/or extremely large runtimes). A good initial guess is somewhere between `dt=1e-12` and `dt=1e-13`. It is not possible to have non-uniform timesteps.\n", "\n", "The second option, writing `tcl` that is directly passed to OOMMF allows for some advanced features. It is possible to define to some degree non-differentiable time-dependence (refer to the OOMMF documentation for the details, e.g. https://math.nist.gov/oommf/doc/userguide12b3/userguide/Standard_Oxs_Ext_Child_Clas.html#SU) and there is no interpolation between fixed time-steps as the `tcl` script is evaluated at exact time steps required by the simulation. To use this you have to pass a dictionary `tcl_strings` defining a fixed set of keys depending on field or current (see below).\n", "\n", "For both methods, there are some differences in the details stemming from the different dimensionality of current (scalar) and field (vector) that are explained below." ] }, { "cell_type": "code", "execution_count": 1, "id": "253e89ea-aa93-471f-b7e8-2d162b4a1c46", "metadata": { "tags": [] }, "outputs": [], "source": [ "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "import oommfc as mc\n", "import micromagneticdata\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "a4af2825-f855-4c68-aea7-c98ec06a09bb", "metadata": {}, "source": [ "## Zeeman field\n", "\n", "### Python function\n", "\n", "There are two differen options for time-dependent fields, either a scalar value can be used to define a field with varying amplitude or a matrix to define a field with varying amplitude and rotation.\n", "\n", "#### Scalar \n", "\n", "To demonstrate a time-dependent field with varying amplitude we look at a toy example, a single macrospin in an exteral field. We define a system with only damping and neglect precession to simplify the motion. We initialise the magnetisation in `x` direction and apply a field pulse in `z` direction. We can observe the alignment with the external field.\n", "\n", "_NOTE_: This system does not require a time-dependent field. It is much simpler to divide the process into two runs. First, we would apply a Zeeman field and drive the system for the duration of the pulse. Then we could remove the Zeeman field and drive the free system (see the end of this section). We only use this system with a time-dependent field (and a single run) because the motion is particularly easy to understand.\n", "\n", "For reference and comparison we first apply a static Zeeman field and drive the system for $5\\,\\mathrm{ns}$." ] }, { "cell_type": "code", "execution_count": 2, "id": "042d47de-ce88-4c61-914f-1a0d9d7063ee", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system = mm.System(name=\"macrospin\")\n", "system.energy = mm.Zeeman(H=(0, 0, 5e4))\n", "system.dynamics = mm.Damping(alpha=0.1)\n", "mesh = df.Mesh(p1=(0, 0, 0), p2=(1, 1, 1), n=(1, 1, 1))\n", "system.m = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=1e4)\n", "system.m.sel(\"y\").mpl.vector()" ] }, { "cell_type": "code", "execution_count": 3, "id": "12926968-0904-4aa4-90b3-c00bf25a9598", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (0.6 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "td = mc.TimeDriver()\n", "td.drive(system, t=5e-9, n=100)\n", "system.m.sel(\"y\").mpl.vector()" ] }, { "cell_type": "markdown", "id": "d56b7dc5-d76f-4eac-ae4e-aab0934de650", "metadata": {}, "source": [ "We can see that the macrospin has rotated by almost ninty degrees. We can plot the time-evolution of the magnetisation:" ] }, { "cell_type": "code", "execution_count": 4, "id": "eeb555d3-ef97-44dd-8403-c2348506c563", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.table.mpl(y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "1fe40cda-2283-4223-a3ff-e27ecf48164f", "metadata": {}, "source": [ "Now, we create the same system but apply only a shorter pulse with a duration of $2\\,\\mathrm{ns}$. We still drive the system for $5\\,\\mathrm{ns}$.\n", "\n", "To define this time dependence we have to pass two additional parameters to `mm.Zeeman`. The first one `func` must be a callable must accept a single argument and return a single value (the prefactor at an arbitrary time step given as input argument). The second parameter `dt` defines spacing of the points at which this callable is evaluated. Here, we define a simple step function that returns `1` for the first nanosecond and `0` afterwards." ] }, { "cell_type": "code", "execution_count": 5, "id": "3aaf6bf6-c471-4ac2-87c2-42bce4987246", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def t_func(t):\n", " if t < 1e-9:\n", " return 1\n", " else:\n", " return 0\n", "\n", "\n", "system = mm.System(name=\"macrospin_pulse\")\n", "system.energy = mm.Zeeman(H=(0, 0, 5e4), func=t_func, dt=1e-12)\n", "system.dynamics = mm.Damping(alpha=0.1)\n", "mesh = df.Mesh(p1=(0, 0, 0), p2=(1, 1, 1), n=(1, 1, 1))\n", "system.m = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=1e4)\n", "system.m.sel(\"y\").mpl.vector()" ] }, { "cell_type": "code", "execution_count": 6, "id": "50a9bdf4-a02b-405a-8eb1-0b2c83819cde", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (0.7 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "td.drive(system, t=5e-9, n=100)\n", "system.m.sel(\"y\").mpl.vector()" ] }, { "cell_type": "code", "execution_count": 7, "id": "6beb877e-0b22-46fb-b033-db6619b01bea", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, figsize=(8, 8))\n", "system.table.mpl(ax=ax1, y=[\"Bx_zeeman\", \"By_zeeman\", \"Bz_zeeman\"])\n", "system.table.mpl(ax=ax2, y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "54bd0be2-fa8c-48d1-8458-03cb54e7eda8", "metadata": {}, "source": [ "We can see that the macrospin starts to align with the external magnetic field. As the pulse is switched off at $1\\,\\mathrm{ns}$ the motion stops and the system remains in the current state.\n", "\n", "##### How to properly simulate this field pulse\n", "\n", "As already mentioned above the field pulse can be simulated without a time-dependent field. We briefly show how to do this. We first apply a constant field and drive the system for $1\\,\\mathrm{ns}$. Then we remove the field and drive the free system for $4\\,\\mathrm{ns}$. The main difference is that we end up with two separate runs (and tables)." ] }, { "cell_type": "code", "execution_count": 8, "id": "14b58136-9e15-48f8-bbd0-d60eaaadf674", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (0.3 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system = mm.System(name=\"macrospin_pulse_drive\")\n", "system.energy = mm.Zeeman(H=(0, 0, 5e4)) + mm.Exchange(A=1e-12)\n", "system.dynamics = mm.Damping(alpha=0.1)\n", "mesh = df.Mesh(p1=(0, 0, 0), p2=(1, 1, 1), n=(1, 1, 1))\n", "system.m = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=1e4)\n", "\n", "td.drive(system, t=1e-9, n=20)\n", "system.table.mpl(y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "code", "execution_count": 9, "id": "209571b9-1898-4123-9397-5191a1d38166", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (0.3 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.energy -= mm.Zeeman(H=(0, 0, 5e4))\n", "td.drive(system, t=4e-9, n=20)\n", "system.table.mpl(y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "98eb2922-83b5-420e-959a-5b8ca4b33f41", "metadata": {}, "source": [ "We can use `micromagneticdata` to combine the two separate runs." ] }, { "cell_type": "code", "execution_count": 10, "id": "e49ad4f0-1a50-48b5-b821-f26c3e765224", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = micromagneticdata.Data(name=\"macrospin_pulse_drive\")\n", "(data[-2].table << data[-1].table).mpl(y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "33cb017c-0d0f-43e0-8b48-086e0c319e3b", "metadata": {}, "source": [ "#### Pre-defined functions\n", "\n", "Two of the most commonly used functions, `sin` and `sinc`, are available as pre-defined functions. These can be used as follows (again using the example of a macrospin). The user has to define:\n", "\n", "- the `func`tion type (`sin` or `sinc`)\n", "- a frequency `f` in Hz\n", "- optionally an offset `t0` in s" ] }, { "cell_type": "code", "execution_count": 11, "id": "ed95933e-41da-4305-99c6-4f77d767baa8", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (0.5 s)\n" ] } ], "source": [ "system = mm.System(name=\"macrospin_sin\")\n", "system.energy = mm.Zeeman(H=(0, 1e4, 5e4), func=\"sin\", f=0.5e9, t0=0)\n", "system.dynamics = mm.Damping(alpha=0.1)\n", "mesh = df.Mesh(p1=(0, 0, 0), p2=(1, 1, 1), n=(1, 1, 1))\n", "system.m = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=1e4)\n", "td.drive(system, t=5e-9, n=100)" ] }, { "cell_type": "code", "execution_count": 12, "id": "dbfa9230-5fff-416b-a324-31143a2440a9", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, figsize=(8, 8))\n", "system.table.mpl(ax=ax1, y=[\"Bx_zeeman\", \"By_zeeman\", \"Bz_zeeman\"])\n", "system.table.mpl(ax=ax2, y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "code", "execution_count": 13, "id": "e6c3df79-25cb-450c-84c5-a494e6753e31", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (1.0 s)\n" ] } ], "source": [ "system = mm.System(name=\"macrospin_sinc\")\n", "system.energy = mm.Zeeman(H=(0, 1e4, 5e4), func=\"sinc\", f=1e9, t0=1e-9)\n", "system.dynamics = mm.Damping(alpha=0.1)\n", "mesh = df.Mesh(p1=(0, 0, 0), p2=(1, 1, 1), n=(1, 1, 1))\n", "system.m = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=1e4)\n", "td.drive(system, t=10e-9, n=200)" ] }, { "cell_type": "code", "execution_count": 14, "id": "a5a872e1-aef0-458d-b0fc-9b469d6ed2b5", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, figsize=(8, 8))\n", "system.table.mpl(ax=ax1, y=[\"Bx_zeeman\", \"By_zeeman\", \"Bz_zeeman\"])\n", "system.table.mpl(ax=ax2, y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "e812d455-71f0-4779-a6b3-a8baeb466175", "metadata": {}, "source": [ "#### Experimentally measured time-dependence\n", "\n", "As a third example we assume that we have a list of values (with potentially non-uniform time stepping). This could for example be an experimentally measured time profile. Here, we generate some artifical data, an exponentially decaying sin wave with a constant offset.\n", "\n", "_NOTE_: If your data contains noise you should apply some sort of smoothing." ] }, { "cell_type": "code", "execution_count": 15, "id": "ad3a590a-a008-4d39-add7-5cac4f5be07c", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "array([0.2 , 0.26263374, 0.32470813, ..., 0.18966045, 0.19483294,\n", " 0.2 ])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t_sample = np.arange(1001) * 10e-12 # in total 10ns with resolution of 10ps\n", "T = 4e-9\n", "omega = 2 * np.pi / 1e-9 # frequency 1 GHz\n", "np.random.seed(1)\n", "measured_time_dependence = (\n", " np.exp(-t_sample / T) * np.sin(omega * t_sample) + 0.2\n", ") # + np.random.randn(t.size)*.01\n", "measured_time_dependence" ] }, { "cell_type": "code", "execution_count": 16, "id": "f3817b0d-84e5-4726-b5e5-e9d4f7d73445", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t_sample, measured_time_dependence)" ] }, { "cell_type": "markdown", "id": "1c9b6637-3432-43a0-a968-63c64edce3db", "metadata": {}, "source": [ "We have to wrap this with a function that returns a single value for an arbitrary timestep. This also allows to handle non-uniform spacing of the (measured) values. In this simple example we assume that we already have equally spaced values. OOMMF is very sensitive to large derivative values. We interpolate between neighbouring values to \"improve accuracy\" (to decrease derivative values)." ] }, { "cell_type": "code", "execution_count": 17, "id": "d6ff2efe-4a2e-4650-aad4-1a8359b59c6e", "metadata": { "tags": [] }, "outputs": [], "source": [ "def time_dependence(t):\n", " return np.interp(t, t_sample, measured_time_dependence)" ] }, { "cell_type": "code", "execution_count": 18, "id": "fd83546c-350a-42c3-9f53-7d4a2e40e72e", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (0.7 s)\n" ] } ], "source": [ "system = mm.System(name=\"macrospin_measured\")\n", "system.energy = mm.Zeeman(H=(0, 0, 5e4), func=time_dependence, dt=1e-13)\n", "system.dynamics = mm.Damping(alpha=0.1)\n", "mesh = df.Mesh(p1=(0, 0, 0), p2=(1, 1, 1), n=(1, 1, 1))\n", "system.m = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=1e4)\n", "td.drive(system, t=5e-9, n=100)" ] }, { "cell_type": "code", "execution_count": 19, "id": "32d3eeb0-35c2-4bfe-91f3-881e49d24194", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, figsize=(8, 8))\n", "system.table.mpl(ax=ax1, y=[\"Bx_zeeman\", \"By_zeeman\", \"Bz_zeeman\"])\n", "system.table.mpl(ax=ax2, y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "086bcb79-c040-40bd-bc64-5fa41984d9cc", "metadata": {}, "source": [ "#### Vector\n", "\n", "The external magnetic field is a vector quantity and hence cannot only be modulated in amplitude but also rotated over time. Here we demonstrate a rotation in xy-plane (definition of the rotation following an example given on the OOMMF website https://math.nist.gov/oommf/doc/userguide20a2/userguide/Standard_Oxs_Ext_Child_Clas.html#TZ). In the next section we use the same example, but with custom tcl." ] }, { "cell_type": "code", "execution_count": 20, "id": "07cfdf19-296e-4fb2-bede-020cb8e71beb", "metadata": { "tags": [] }, "outputs": [], "source": [ "system = mm.System(name=\"rotation\")\n", "mesh = df.Mesh(p1=(0, 0, 0), p2=(10, 10, 1), cell=(1, 1, 1))\n", "system.m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=1e4)" ] }, { "cell_type": "markdown", "id": "474330fc-9efc-411f-8a6a-b85a79af1430", "metadata": {}, "source": [ "To define a field rotation the function specifying the time-dependence must return a list of nine values instead of a single one. The elements are the matrix elements of the rotation matrix ($R_{xx}, R_{xy}, R_{xz}, R_{yx}, R_{yy}, R_{yz}, R_{zx}, R_{zy}, R_{zz}$) in this order." ] }, { "cell_type": "code", "execution_count": 21, "id": "59dafd86-61c8-49ea-a1e8-d6a59a547253", "metadata": { "tags": [] }, "outputs": [], "source": [ "tstep = 1e-13\n", "\n", "\n", "def rotation(t):\n", " omega = 2 * np.pi * 1e9\n", " return [\n", " np.cos(omega * t),\n", " -np.sin(omega * t),\n", " 0,\n", " np.sin(omega * t),\n", " np.cos(omega * t),\n", " 0,\n", " 0,\n", " 0,\n", " 1,\n", " ]" ] }, { "cell_type": "markdown", "id": "4b2b41b8-05e6-4d08-9a10-f4f693d771fa", "metadata": {}, "source": [ "We have to define the external magnetic field using a `discretisedfield.Field` object." ] }, { "cell_type": "code", "execution_count": 22, "id": "53cfe236-56ea-45e5-b06f-ea163d5452a8", "metadata": { "tags": [] }, "outputs": [], "source": [ "H_field = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=5e4)" ] }, { "cell_type": "code", "execution_count": 23, "id": "28d18de3-4b00-4c2a-8778-33af0b1c8814", "metadata": { "tags": [] }, "outputs": [], "source": [ "system.energy = (\n", " mm.Exchange(A=1e-11) + mm.Demag() + mm.Zeeman(H=H_field, func=rotation, dt=tstep)\n", ")" ] }, { "cell_type": "code", "execution_count": 24, "id": "2b033b55-30d6-452e-91ab-91a265870e72", "metadata": { "tags": [] }, "outputs": [], "source": [ "system.dynamics = mm.Damping(alpha=0.2)" ] }, { "cell_type": "code", "execution_count": 25, "id": "c503e335-f19a-495c-8f56-65d8fc9a9e87", "metadata": { "tags": [] }, "outputs": [], "source": [ "td = mc.TimeDriver()" ] }, { "cell_type": "code", "execution_count": 26, "id": "3d688fc7-cbbe-4cda-967b-4b9965cc0851", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (7.0 s)\n" ] } ], "source": [ "td.drive(system, t=25e-9, n=1000)" ] }, { "cell_type": "code", "execution_count": 27, "id": "3cae4e7f-9043-453d-b5a7-ea6e87f3df7e", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.table.mpl(y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "357d298b-44b0-44f5-80fc-bcabe4175278", "metadata": {}, "source": [ "### Tcl\n", "\n", "If the above-presented ways of defining a time-dependence are not enough it is possible to pass several `tcl` strings that are directly forwarded to OOMMF. For any details on available options please refer to the relevant OOMMF documentation and check the generated `mif` file in case of problems or if additional information on certain parameters is required.\n", "\n", "To give an example we demonstrate the same rotation in xy-plane as shown in the section above." ] }, { "cell_type": "code", "execution_count": 28, "id": "46e49451-e756-447b-9bc7-6f8afc4d5b51", "metadata": { "tags": [] }, "outputs": [], "source": [ "system_tcl = mm.System(name=\"custom_tcl\")\n", "mesh = df.Mesh(p1=(0, 0, 0), p2=(10, 10, 1), cell=(1, 1, 1))\n", "system_tcl.m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=1e4)" ] }, { "cell_type": "code", "execution_count": 29, "id": "99cd687a-6269-4a56-ba9d-a46add868f8a", "metadata": { "tags": [] }, "outputs": [], "source": [ "H_field = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=5e4)" ] }, { "cell_type": "markdown", "id": "0c07030d-4fe7-4f51-be5f-2bdd2fd167ab", "metadata": {}, "source": [ "A dictionary `tcl_strings` has to passed to the energy term. It must contain the following keys (details on the OOMMF documentation page https://math.nist.gov/oommf/doc/userguide20a3/userguide/Standard_Oxs_Ext_Child_Clas.html):\n", "\n", "- `script`: the script for time-dependence\n", "- `script_args`: arguments passed to the `script`\n", "- `script_name`: name of the `script`\n", "- `type`: transform type (`Oxs_TransformZeeman` only)\n", "- `energy`: class of the energy term (easiest to take from the `mif` file without)" ] }, { "cell_type": "code", "execution_count": 30, "id": "f6e06a92-5894-4d16-aa31-afde63e31256", "metadata": { "tags": [] }, "outputs": [], "source": [ "# taken from https://math.nist.gov/oommf/doc/userguide20a2/userguide/Standard_Oxs_Ext_Child_Clas.html#TZ\n", "tcl_strings = {}\n", "tcl_strings[\"script\"] = \"\"\"proc TimeFunction { total_time } {\n", " set PI [expr {4*atan(1.)}]\n", " set w [expr {1e9*2*$PI}]\n", " set ct [expr {cos($w*$total_time)}]\n", " set mct [expr {-1*$ct}] ;# \"mct\" is \"minus cosine (w)t\"\n", " set st [expr {sin($w*$total_time)}]\n", " set mst [expr {-1*$st}] ;# \"mst\" is \"minus sine (w)t\"\n", " return [list $ct $mst 0 \\\n", " $st $ct 0 \\\n", " 0 0 1 \\\n", " [expr {$w*$mst}] [expr {$w*$mct}] 0 \\\n", " [expr {$w*$ct}] [expr {$w*$mst}] 0 \\\n", " 0 0 0]\n", "}\"\"\"\n", "tcl_strings[\"energy\"] = \"Oxs_TransformZeeman\"\n", "tcl_strings[\"type\"] = \"general\"\n", "tcl_strings[\"script_args\"] = \"total_time\"\n", "tcl_strings[\"script_name\"] = \"TimeFunction\"\n", "\n", "system_tcl.energy = (\n", " mm.Exchange(A=1e-11) + mm.Demag() + mm.Zeeman(H=H_field, tcl_strings=tcl_strings)\n", ")" ] }, { "cell_type": "code", "execution_count": 31, "id": "45d3ea00-853a-4919-aa81-18c71e3d9a03", "metadata": { "tags": [] }, "outputs": [], "source": [ "system_tcl.dynamics = mm.Damping(alpha=0.2)" ] }, { "cell_type": "code", "execution_count": 32, "id": "84b5ed3a-0aee-427a-9898-30989b5e0f05", "metadata": { "tags": [] }, "outputs": [], "source": [ "td = mc.TimeDriver()" ] }, { "cell_type": "code", "execution_count": 33, "id": "88c092cf-e863-4351-b93a-a950c1bc8f5b", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (3.1 s)\n" ] } ], "source": [ "td.drive(system_tcl, t=25e-9, n=500)" ] }, { "cell_type": "code", "execution_count": 34, "id": "d07e47f2-3757-41ff-9d0b-181388efa2ce", "metadata": { "tags": [] }, "outputs": [], "source": [ "system.table.mpl(ax=ax2, y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "1a052791-530c-4706-8cdc-98a1ff96333a", "metadata": {}, "source": [ "## Slonczewski and Zhang-Li currents\n", "\n", "From the point of view of modelling time-dependent currents both Slonczewski and Zhang-Li behave the same. Examples here use `ZhangLi` but can be directly applied to `Slonczewski`.\n", "\n", "### Python function\n", "\n", "The callable `time_dependence` must return a single number that is used to multiply the initial values. To demonstrate this we show an example of moving a domain wall with Zhang-Li current." ] }, { "cell_type": "code", "execution_count": 35, "id": "69a647f4-5125-4153-952f-3e49eb72c47c", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Definition of parameters\n", "L = 500e-9 # sample length (m)\n", "w = 20e-9 # sample width (m)\n", "d = 2.5e-9 # discretisation cell size (m)\n", "Ms = 5.8e5 # saturation magnetisation (A/m)\n", "A = 15e-12 # exchange energy constant (J/)\n", "D = 3e-3 # Dzyaloshinkii-Moriya energy constant (J/m**2)\n", "K = 0.5e6 # uniaxial anisotropy constant (J/m**3)\n", "u = (0, 0, 1) # easy axis\n", "gamma0 = 2.211e5 # gyromagnetic ratio (m/As)\n", "alpha = 0.3 # Gilbert damping\n", "\n", "# Mesh definition\n", "p1 = (0, 0, 0)\n", "p2 = (L, w, d)\n", "cell = (d, d, d)\n", "region = df.Region(p1=p1, p2=p2)\n", "mesh = df.Mesh(region=region, cell=cell)\n", "\n", "# Micromagnetic system definition\n", "system = mm.System(name=\"domain_wall\")\n", "system.energy = (\n", " mm.Exchange(A=A)\n", " + mm.DMI(D=D, crystalclass=\"Cnv_z\")\n", " + mm.UniaxialAnisotropy(K=K, u=u)\n", ")\n", "system.dynamics = mm.Precession(gamma0=gamma0) + mm.Damping(alpha=alpha)" ] }, { "cell_type": "markdown", "id": "506f41a8-8f48-4f16-a1fd-0e7360873d8d", "metadata": {}, "source": [ "Because we want to move a DW, we need to initialise the magnetisation in an appropriate way before we relax the system." ] }, { "cell_type": "code", "execution_count": 36, "id": "c702b006-7caa-44be-8bcd-b08509d95068", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def m_value(pos):\n", " x, y, z = pos\n", " if x < 40e-9:\n", " return (0, 0, -1)\n", " else:\n", " return (0, 0, 1)\n", "\n", "\n", "system.m = df.Field(mesh, nvdim=3, value=m_value, norm=Ms)\n", "\n", "system.m.orientation.z.sel(\"z\").mpl.scalar(colorbar_label=\"$m_z$\", figsize=(15, 10))" ] }, { "cell_type": "markdown", "id": "70296e63-ea1a-4c62-a81a-644aed4c03b1", "metadata": {}, "source": [ "Now, we can relax the magnetisation." ] }, { "cell_type": "code", "execution_count": 37, "id": "ca698c4f-bdba-4beb-a8aa-4267b59e7d15", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (6.1 s)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "md = mc.MinDriver()\n", "md.drive(system)\n", "\n", "system.m.orientation.z.sel(\"z\").mpl.scalar(colorbar_label=\"$m_z$\", figsize=(15, 10))" ] }, { "cell_type": "markdown", "id": "8079ffbe-dad8-4279-a19b-b902141bc66c", "metadata": {}, "source": [ "Now we can add the STT term to the dynamics equation. We define a sinusoidal modulation with period $T=1\\,\\mathrm{ns}$." ] }, { "cell_type": "code", "execution_count": 38, "id": "53df68b5-2609-4ec3-ba84-3d862e443e46", "metadata": { "tags": [] }, "outputs": [], "source": [ "ux = 400 # velocity in x-direction (m/s)\n", "beta = 0.5 # non-adiabatic STT parameter\n", "\n", "\n", "def time_func(t):\n", " omega = 2 * np.pi / 1e-9\n", " return np.sin(omega * t)\n", "\n", "\n", "system.dynamics += mm.ZhangLi(u=ux, beta=beta, func=time_func, dt=1e-12)" ] }, { "cell_type": "markdown", "id": "aa998814-302f-4636-961e-18fca0dbeea5", "metadata": {}, "source": [ "And drive the system for $1.5 \\,\\text{ns}$ ($1.5T$):" ] }, { "cell_type": "code", "execution_count": 39, "id": "fe71895d-1dcc-47dd-a21a-09551dc46e53", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (13.7 s)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "td = mc.TimeDriver()\n", "td.drive(system, t=1.5e-9, n=100)\n", "\n", "system.m.orientation.z.sel(\"z\").mpl.scalar(colorbar_label=\"$m_z$\", figsize=(15, 10))" ] }, { "cell_type": "markdown", "id": "4e8e3e24-94ac-4dfd-b1e5-a49e1421a124", "metadata": {}, "source": [ "We see that the DW pair has moved to the positive $x$ direction. We can get more information about the movement by plotting the average magnetisation in z-direction as a function of time:" ] }, { "cell_type": "code", "execution_count": 40, "id": "af48e58a-5b2d-4154-b9a6-76d0ed4dbd65", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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TUd1Qq1QUllTw76/PEJuSp3RY4g5SRAuz9e2Bm+w9re9WEejrwu8f6mG2i0qM4WBnzaKZEQT76Uekdx5PMExlEUIIS1NQXM5/154z7PD36PguDAhrrXBUzaNfqC9PTdUX0kWlFfx3zVlSMqVrh6mQIlqYpQNnkw2LCANbu/D7hyJbRAFdxd7WmudndcfXUz9Heu2+Gxy6kKJwVEII0bhKyzW8t/48tyrbvT0wtD1Du7dROKrm1aeLD7+e9vOI9DvrzpFXJH2kTYEU0cLsXLyZyRe7rgHg5WbPC7O642TfcgroKq6Otrw4uzvuzvrpKyu2X+F8zG2FoxJCiMZRodHy4caL3EjOBfRdOCYPCFQ4KmX06uzDvLGdAMjIKWHp+vOUlWsUjkpIES3MSmJ6Ae9vvIhWp8PRzpoXZnXHzQIXEdaVl7sDv5sdiYOdNVqdjve/+/kHjhBCmCudTseqnVc4F5MJQN+uPjw0uqNFLiKsq+E9/JnQT99HOuZWHh9vjZaF5QqTIlqYjez8Ut5Zd46SMg1WahXPTg+njZeT0mEpLsDHmednRmBjraasQsu7686Rll2kdFhCCFFv3/0Yy6ELqQCEBnnwq0mhFtXGrr5mDA+hdxcfAE5dzWD9fllYriQpooVZKC6t4N1158jO1y8seWxCF7oEeigcleno1Nadp6d2Q6WCwpIKlm24QGmZ3OoTQpifU1cz2Ho4DtCvefnNA+HYWEu5AqBWqVg4qSsh/vqNxHYeS2DfmWSFo2q55KoUJk+r1bF88yUSKndtmjo42Ky38m4qPTp6M3tEBwCSMwpZseOy7GoohDArKZmFfLotGgA3J1sWzYjAwc5a4ahMi62NFc/NiMDb3R6A1d9f5cLNTIWjapmkiBYmb/OhWM5XzosbGNaaKYOClA3IhI3t05a+XfW3+o5fTjdsQiOEEKauuFR/F61qyt6vp4Xh4WI5O882JldH28pF9dbodPDR5kvczilWOqwWR4poYdIuxWax5VAcACFtXHlsQpcWvbDkflQqFQsmdMXfWz9XfN2+GC7HZysclRBC3JtOp+PTbZdJydSv53hwVEc6tXVXNigT59fKiWemhRmm8X2w6SLlFVqlw2pRpIgWJis7v5SPtlxCBzg72PDraWFYW8klez92tlY8Oz3c0LHjw00XycorUTosIYS4q+1H4zl9LQPQ33Ec2dNf4YjMQ9cgT6YNaQ9AbEo+a/fdUDiilkUqEmGSKjRaPtx0kfyicgAWTg7F09Ve4ajMh6+HI09GhQKQX1TO/767QHmFLDQUQpiei7GZbDh4E4B2vs48Mq6z3HE0wqQBgYQFewKw51QSJ66kKxxRyyFFtDBJ3x28yfUkfb/jSQMCiQhppXBE5qd7By+mDg4G9CMUX+6+rnBEQghR3e3cYpZvuoROp7/j+OwD4djaWCkdlllRq1Q8ERVqmD++YvtlUrOkzWlzkCJamJwz1zPYcSwBgC7t3Jk2JFjhiMxX1KAgulf+AnLw3C1OygiFEMJEaLU6PtkSTWFJBSoVPDWlG17uDkqHZZZcHG359dQwrNQqSso0vP/dRdnRsBlIES1Myu2cYj7dehkAVydbnpzSDSu1XKb1pVapWBgViqerfoRi1c4rhl7bQgihpO1H47lWeccxamAQ3SqnJIj66RDgxszhIQAkZRTw5e5rCkdk+aQ6ESZDo9Xy4eZLFJX+PCrh7iztjRrKyd6GhZNCUaFfwf3pNtkqVgihrNiUPDb9FAtA+zauREnr0kYxtk9benT0AuDH8ykcvZSqcESWTYpoYTJ2HE3g5q08QL+hSlfZkbDRdAn0YHy/dgBEx2Xzw8kkhSMSQrRUpWUaPtoSjUarw87GiieiQuWOYyNRqVT8alJXvNyqNmK5Jncfm5BctcIkJKTlG0YlQvxdmTwgSNmALNC0Ie1p5+MMwPr9MSRV7gAphBDNac3e66RVLnx7eHRHfD0cFY7Isjja27Bwsv7uY1Fphexe24SkiBaKK6/Q8slW/aiErbWahZNCUaulvVFjs7FW88SUbthYq6nQaPloyyVpeyeEaFZnr99m/9lbAPTs5M3gCD+FI7JMndq6M7ZvWwAu3szi4LlbCkdkmaSIForbfCiWpIxCAGaN6ICvp4xKNBV/Lydmj+gAQFJGId8euKlwREKIliK3sIwVO/QLx92cbXl0vPSDbkrTh7bHr5X+5+k3e2+QIduCNzopooWibiTnsv1oPABdAz0YIbtUNbmRPf0Jb69ve/f9iUQuxWUpHJEQwtLpdDpWbL9s2EDrV5O64uJoq3BUls3G2oqFk0NRq1SUlmn4dNtlWVTeyKSIFoopLdPw6dZodDpwsLPi8YldUcuoRJNTqVQ8PrELzg42AKzcfoWSsgqFoxJCWLLDF1M5H5MJwOjeAYQFywZazSHYz5XJAwMBuJaYww8nEhWOyLJIES0Us/5ADGnZ+ttLD43qRCs32da7ubg52/HIuM4AZOaV8N3BWIUjEkJYqrzCMr7Zo98x1dfDgZnDQhSOqGWZPDCIdr6Vi8oP3OTW7UKFI7IcUkQLRVyOy2LPKX2btcgOXgwKb61wRC1Pr87ehn6iP5xMJOZWrsIRCSEs0Vc/XKOwRH+367EJXWRb72ZmbaVm4eRQrK1UVGi0fLotGo1Wq3RYFkGKaNHsyso1rNp1FQBnBxtZXKIQlUrFvLGdcbCzQges3HGFCo18sQohGs/ZG7c5fjkdgGGRbejcTvr/KyHA25kHhrYHIDYlnz2nkhWOyDJIES2a3dYj8aQbpnF0xE12JVSMh4sds4bru3UkZxSyo3KRpxBCNFRxaQVfVA6YuDnbMmu4TONQ0rg+7Qhs7QLAdwdvkpVXonBE5k+KaNGsbt3+uVDrGuhB/26+Ckckhka2oVNbdwC2HI6T+XJCiEbx7YEYw25588Z0xtHeRuGIWja1WsVj47ugUkFpuYYvd19TOiSzJ0W0aDZanY7Pd15Bo9VhbaXmkXEyjcMUqFUqHh3fGWsrNRUaHSt3XpE2SEKIBrmelMO+0/opA706e9Ors7fCEQmAwNYujOmt34TlzPXbnL6WoXBE5k2KaNFsDp1P4VqSfvFa1MBA2VTFhPi1cmLKoCAAbiTlcuCMzJcTQtRPeYWWlTuuoAMc7KyZO6aT0iGJO0wbEoyHi34a5Ze7r1FcKi1O60uKaNEs8orKWLvvBgB+rRwZ3y9Q4YjEL43v144Ab30bpHX7Y2S+nBCiXrYdiSMlswiAOSM74C7rXkyKva018yp/scnOL2Xjj9LitL6kiBbNYu3eG4YWR4+M64yNtVx6psbaSs2Cifr5ciVlGsMvPUIIUVfp2UWGXWi7tHNnSISfwhGJ2vTodEeL01OJxKXmKRyReZJKRjS5y3FZHL6YCsCQCD9pcWTCgv1cGdFDv/X68cvpXI7PVjgiIYQ5+WbPDSo0OqzUKubLuheTNndMJ+xsrdDpYNWOq9I7uh6kiBZNqrxCw+d39ISeNaKDwhGJ+5k2pL1hS/Cvdl+T3tFCiDo5d+M2Z2/cBmBMn7b4tXJSOCJxL56u9kwfou8dHZ+Wz+4TSQpHZH6kiBZN6vsTiYatvR8c1cFQnAnT5exgw8zKfq7Jtwv54aR8sQoh7q28QsPXP+i39nZztiVqYJCyAYk6GdUrgEDfqt7RMWTny1oYY0gRLZpMdn4pWw/r58Z1CnBjQDfZ2ttcDI7wI9jvji9WWWQohLiHXccTSc/RD5jMGdEBBztrhSMSdaGunHYDUFyq4YvtlxWOyLxIES2azPr9MZSWa1ABD4/pJHPjzIhapWLumJ+/WFdui1Y4IiGEqcrMLWHr4ThAP2DSL1Q20TIn7du4MihMP8j1w4kEYlNkkWFdSREtmkRMci5HLukXEw6NbEO7yttFwny0b+NqWFm/92Qi1xNzlA1ICGGS1uy7QVmFFpUK5o6VxYTmaMbwEOwrFxmu3nUVnWy4VSdSRItGp9Xp+OoH/XaiDnbWPDC0vcIRifqaMTwER3v9bdnPd11Fq5UvViHEz6Ljsjh5JR2AkT0DaOvjrHBEoj7cne2YMjgYgOtJuRy7nKZwROZBimjR6A5fSCU2JR+AqYODcXW0VTgiUV+ujrbMGKZfZBifms+Bc7cUjkgIYSoqNFq+3K0fMHFxtOGBIcEKRyQaYlzfdoaOKuv2xVBaplE4ItMnRbRoVMWlFaw/EAPodyYc2dNf4YhEQ43s5U+QnysAGw7EUFhSrnBEQghTsPd0smFnwpnDQ3C0l+5L5szGWs2vpnQD9I0BqjbNEXcnRbRoVFsPx5FXWAbAQ6M6Ym0ll5i5s1KreeqBcAAKSyrYcihO2YCEEIorKC5nyyH9dtHBfi4MCpedCS1B326tCQv2BGDn8QRuV3ZcEbWTCkc0mrSsIr4/kQhAZAcvwtq3Ujgi0VjCQrzo1dkbgD2nkgytrIQQLdPWw3EUllQA8OCojqhlMaFFUKlUzB3bCbVKRXmFlrX7bigdkkmzuCI6NjaWd999l9mzZ9O/f3969OjB1KlT+eCDDygqKqpx/s2bN3nmmWfo06cPkZGRPPzwwxw5cqTW187Pz+cf//gHQ4YMITw8nEmTJvHVV1/JKtZKa/beQKPVb/c6Z6TsTGhp5ozqiJVahUarY/3+GKXDEUIoJD27iD2n9Jsw9ersTccAd2UDEo3K39vZMBXz5NUMrsRnKxyR6bK4Ivrbb79l5cqVtG3blt/85je89NJLBAcH88477/Dggw9SUvLzphEJCQk89NBDnD17loULF/KHP/yBoqIiFi5cyOHDh6u9bllZGQsWLOCbb75h4sSJLF68mODgYF599VWWLVvW3B/T5FyJz6623auvp6PCEYnG1trTkRE9Kr9Yr6RzIzlX4YiEEEpYvz/GMGBStbupsCxThwQbdhhes+8GWhksrJXFbSk0btw4nnrqKVxcfu5L/NBDDxEYGMiHH37I+vXrmTdvHgBvvfUWeXl5bNiwga5duwIwbdo0Jk+ezKuvvsrOnTsN/S7XrVvHhQsX+Otf/8r8+fMBmD17Ns899xzLly9n+vTp+Pu3zEV0Wp3OcMvH2cGGyQOClA1INJkpg4M5dDGV4tIK1uy5zp/n95KesEK0IDeScjl5NQPQt7Tz9ZABE0vkZG/DlEFBfPXDdeJT8zl+OY3+obLr8C9Z3Eh0eHh4tQK6ysSJEwG4dk3fjqeoqIi9e/fSt29fQwEN4OTkxMyZM4mLi+PChQuG41u3bsXBwYHZs2dXe91HH32U8vJytm/f3hQfxyycvJJOXKq+pV3UoCBDX2FheZwdbIgaGARAzK08ww9TIYTl0+l0rNl7HQBHO2uiBgUpG5BoUsN7+OPj7gDAhgM3Ka/QKhyR6bG4IvpuUlP1u+d5eXkBcPXqVcrKyoiMjKxxbtWxqiJaq9USHR1N165dsbOzq3ZuREQEKpWqWsHdkpRXaA3zY73d7Q23+4XlGtUrAC83ewDW7bshX6xCtBAnrqQTc0u/JXTUoCDD7X5hmayt1MyonK5zO7eEfaeTFI7I9LSIIUONRsMHH3yAtbU1kydPBiA9Xb/Dkq+vb43zq46lpel37MnNzaWkpKTWc21tbfHw8DC83v2o1SrU6sa9/W1V2UbOSoF2cntOJ3E7Vz/PfPbIjtjbmf4lpWS+zNEv82VtrWb2yA68/91FbueWsP9sMhP6ByoZokmR68s4ki/jKJWvOwdMfNwdGNu3HdbWpv/fTK6vuqstV/27+bLreAI3b+Wx5XAcw3r44yS/PBmYfsXTCF5//XXOnDnD7373O9q3129BXVysb9Fla1tzN72q0eaqc6oWI9Z2btX5Vefej6enU5PNIXV1dWiS172bguJyNv8UB0DHtu6MGxhsVvNjmztf5u7OfI0f1J49p5K5mpDN5kNxTB7aAVcn2ZnyTnJ9GUfyZZzmzteGfTcMAyYLpnTDx7vmtElTJtdX3f0yV09MC+dP7x+isKSCH04n89jkbgpFZnosvoh+5513WL16NXPmzOGpp54yHHdw0F8kZWVlNZ5TWlpa7Rx7e/u7nlt1ftW595OVVdgkI9Gurg7k5RWj0TTfrfW1e2+QX6TPyazhIeTk1GwhaIqUype5ulu+Zo8I4R+rTlJYXM7nWy8yd2xnBaM0HXJ9GUfyZRwl8pVfVMaa3VcB6BDgRmhbN7KzC5vlvRtKrq+6u1uu/D0d6NHJizPXbrP54E0GhbU2TOmzZB4eTvc9x6KL6KVLl/LBBx8wffp0Xn311WqP+fj4AD9P2bhT1bGq6Rtubm7Y29vXem5ZWRnZ2dn06dOnTjFptTq02qZpFaPRaKlopvmpWXkl7DqeAED3kFZ08HdrtvduLM2ZL0vwy3wF+7nSu7M3J69msOdUUuVcaRntqSLXl3EkX8ZpznxtORRHUal+Y5XZIzqg0egA82p5JtdX3dWWqxlDQzh7/TblGi3r991g4eRQhaIzLRY7SWjp0qUsW7aMBx54gH/+8581phl06tQJW1tbzp49W+O5VcfCwsIAUKvVhIaGcvny5Rqj0efPn0en0xnObSk2/hhLeYUWlQrpE9qCTR8WglqlokKjM0ztEUJYjuz8UsPGKj06etHB303hiIQS2ng5MbR7GwCOXEwlIS1f4YhMg0UW0cuWLWPZsmVMnTqV119/HbW65sd0cnJixIgRHD9+nCtXrhiOFxYWsn79eoKCgoiIiDAcnzx5MsXFxaxZs6ba66xatQpra2tDC72WICm9gEMXUgAYEuGHv7ezwhEJpbT2dGRwhL536KGLKSTfNo9bvEKIutl8qHLABJg+tL3S4QgFTR0cjK2NGh3IrrWVLG46x5dffsnSpUtp06YNAwcOZMuWLdUe9/LyYtCgQQC8+OKLHD16lMcff5zHHnsMJycn1q1bR1paGsuXL682ej1r1iy+/fZblixZQnJyMiEhIRw4cIDdu3fz61//moCAgGb9nEpafyAGHWBrrWbqYPlSbemmDArm8MU0KjRaNh68yW+mhysdkhCiEaRlFfHjOf2AyYCw1jJg0sK5O9sxvm87Nh+K42JsFpfjsuga5Kl0WIqyuCK6ql/zrVu3ePnll2s83rdvX0MRHRgYyNdff81//vMfPvroI8rLywkNDeWTTz5h4MCB1Z5na2vLypUreeedd9i6dSs5OTm0a9eOxYsXM3fu3Kb/YCbiRlIu52MyAf323h4udvd5hrB0nq72jOrlz67jiZy6lkFsSh7Bfq5KhyWEaKDvfryJVqff3nva4GClwxEmYFzfduw9nUxBcTkbDt7kz4EeZtWVq7GpdDrZEL05ZWQ0/jwia2s1Hh5OZGcXNunCCZ1Ox7+/PsOVhBwc7Kx589cDcLI3v36RzZUvS1GXfOUXlfHyh0coKdPQNdCDPzzUo5mjNB1yfRlH8mWc5spXfGo+r648Aeg3WJo7plOTvVdTkuur7uqaq13HE1iz9wYAi2ZEENnRq7lCbFbedWjjaJFzokXTiI7P5kpCDgAT+rUzywJaNA0XR1vG92sHwOX4bKLjshSOSAjREBsO3gTAzsaKyQODlA1GmJQRPfwNd6E3HNTfrWippIgWdaLT6dhwQP+l6upow+jeLWcOuKibMb3b4uKo/8Xq2wM3kZtcQpina4k5XLhZNW0vADfZSEncwdbGiqjKX6ySMgo4eaVuOzZbIimiRZ2cvX6b2JQ8ACYOCMLe1uKm04sGcrCzZvKAIABiU/I4fe22sgEJIYym0+lYf0DfecHJ3prxfQMVjkiYosERfni76zdc+e7HWDTaljlVRopocV9anY7vftSPQnu42DGiRxuFIxKmangPf1q5Vt3mi2myjYWEEE3jXEwmN5JyAZg4IBBHexkwETVZW6mZVtmdKy2riMMXUhWOSBlSRIv7On45jaQMff/fKYOCsLG2UjgiYaps7mh7mJJZxJFLLfOLVQhzpL1j2p67sy2jesq0PXF3/UJ9aeOl3xq7qp94SyNFtLinCo2WjT/GAuDj4cCgcD+FIxKmbmBYa/xaOQL6L9YKTcv7YhXCHJ2+mkFSRgEAUYOCsbWRARNxd2q1igeG6AdNMvNKOXA2WeGImp8U0eKeDl9MJT27GIBpg4OxtpJLRtybWq1iamVP2YycEg5flNFoIUydVqdj00/6ARMvN3uGRMiAibi/np28CGqtbwW39Ug8pWUahSNqXlIRibsqr9Cw+ZD+S9Xf24m+ob4KRyTMRe8uPvhX3ubbcihORqOFMHEnr6STfFs/bW/ywCAZMBF1olKpDNvB5xWWsed0ksIRNS/5v0Tc1cFzKWTllQIwfUh71C14VyJhHLXq59HozLwSfjqfonBEQoi70Wp/HoX2drdnYFhrhSMS5qRbsCed2roDsONoPMWlFcoG1IykiBa1Kq/QsO1IHACBrV0sdkci0XR6dvamrY8zAFsOx7XIRSdCmINjl9NIySwCYMogmbYnjKNSqXhgiH7QpLCkgh9OtZzRaPk/RdTqwNlb5BSUAfq50CoZhRZGUqtUTKscjc7OL+XguVsKRySE+CWNVsvmylFoXw8H+neTaXvCeJ3bedA10AOA748ntJjRaCmiRQ1l5Rq2HY0HINjPhYiQVgpHJMxVZEcvAn31i062HYmjvKJlLToRwtQdvZRGWuXi8SmDg7FSS1kg6qdqCl9hSQU/nExUOJrmIf+3iBoOnLtFbuUo9FQZhRYNoFKpmFZ5my+noIz9Z2U0WghTUaHRGhaP+7VypF9XGYUW9deprfvPo9EnEikqsfzRaCmiRTVl5Rq2G0ahXQlvL6PQomEiQloR7OcKwPYj8ZSWy2i0EKbg8MVUMnJKAP2AiVotAyaiYe4cjd5zyvJHo6WIFtUcOCuj0KJx3TkanVtYxv4zLa8hvxCmpkKjZcuhOAD8vZzo3cVH2YCERbhzNHrXccsfjZYiWhjcOQrdvo0r4e09FY5IWIqwYE9C/CtHo4+2vIb8Qpiany6kkJl3xyi0DJiIRlI1Gl1UWsEPFj4aLUW0MNh/9ha5hTIKLRqffjRa35A/v6icfTIaLYRiKjRath2OAyDA25menb2VDUhYlE5t3QkNqurUkUhRSbnCETUdKaIFoB+F3nHHKHRYsIxCi8YVGuhBB383AHYeT5C50UIo5PDFVDIrN9KaOjhIRqFFo6s2Gn3ScvtGSxEtABmFFk1PpVIxZVAQoN8e9qB06hCi2VVotGytHIX293aiRycZhRaNr2OAO92C7uzUYZmj0VJEi2qj0CEyCi2aULdgz587dRyLl77RQjSzY9Fp3M7Vz4WOGiij0KLpTLljNHq3hY5GSxEt9H2hK0ehp8gotGhCd45G5xaUcfBcirIBCdGCaLQ/j0L7tXKkd2fpyCGazp2j0btPJFrkLoZSRLdw5RVadh5LAPS7E8ootGhqESGtDLsYbj8aT3mFVuGIhGgZjl9ON+xOGDUwSPpCiyYXNejn0ei9py1vNFqK6BbupwspZOfrF5hEDZRRaNH07hyNzs4v5dAFGY0WoqlptTrDKLSvpyN9ZXdC0Qw6tXWnc1t3QN832tLam0oR3YJVaLRsP6KfC93Ox5nuHWR3QtE8Ijt60dbHGYBtR+Ko0MhotBBN6eTVdFIyiwCYPCBQRqFFs4mqHDQpKLa89qZSRLdgRy6mGprtTx4YJKPQotmoVCqiBgYBkJlXyuGLqcoGJIQF0+p0ht0Jvd3t6d9NRqFF8+ka6GHYbGvn8QTKLKi9qRTRLZRGq2Vb5Si0v5eTNNsXza5nZ2/8vZwA2HpYRqOFaCqnr2aQfLsQgMkDgrBSy49+0Xz0gyb6udF5hWUcPGc57U3l/6QW6nh0Ouk5+gUmkwYGSpsj0ezUKpXhNt/t3BKORacpG5AQFkir07G5chS6las9A8JaKxuQaJHC23sS1Fq/oHzHsQSLWVAuRXQLpNXq2HokDqhcYNJFbu0JZfTu7ENrT0dAPxqt1eoUjkgIy3Luxm2SMgoAmDQgEGsr+bEvmt+dU/gsaUG5/N/UAskCE2Eq1GoVkwcGApCWXcyJK+kKRySE5dDpfu7I4eFix6BwP2UDEi1aZEcvArz1C8q3H423iCl8UkS3MNo7vlS93OzpFyqj0EJZ/UJ98XKzB/SdOrQ6GY0WojFEx2UTm5IPwPh+7bCxlh/5QjmqX0zhO3LJ/BeUN/j/qBs3bvD666/z4IMPMm7cON58803DY6dPn+bzzz8nJyenoW8jGsnZ67dJytAvMJFbe8IUWKnVTBygH41Oyijk3I3bCkckhGWoGjBxcbRhaPc2ygYjBNCrszd+rfRT+LYdiUejNe/R6AZVUCtWrGDatGl8/vnnnD17loSEBLKzs6ud869//YudO3c2KEjROH55a29gmNzaE6ZhUJgfHi52AGw9HI9ORqOFaJBriTlcTcwBYGyfttjZWCkbkBDoF5RPHhAEQHp2MScum/cUvnoX0fv37+eNN96gdevWLFu2jMOHD9f4wdezZ088PT3Zs2dPgwMVDXcpNou4VP2tvYn9A+XWnjAZNtZqxvdtB0BsSh7Rcdn3eYYQ4l6qFo872lkzsmeAssEIcYe+oT74uDsAsO1ovFlP4at3FbVixQocHBxYsWIFo0ePxtPTs9bzunTpQmxsbL0DFI1na2VfaFdHG4ZEyCi0MC1DI9vg4mgD/HwbWghhvNiUPC7ezAJgdO8AHOysFY5IiJ/dOYUvOaOQc9fNdwpfvYvoS5cuERkZSdu2be95noeHB7dvm2+CLMW1xByuVd3a69sOW7m1J0yMnY0VY/vov0+u3nG9CiGMU7WRlp2NFaN73/tntBBKGNCt9c9T+I7Eme0UvnoX0eXl5Tg5Od33vKysLKyspGBT2p239kb08Fc2GCHuYmTPABwrR82qrlkhRN0lZxRw+loGACN6+OPsYKNwRELUVH0KX77ZTuGrdxEdEBDAlStX7nlOWVkZV69eJSgoqL5vIxpBXKrc2hPmwcHOmtG99fM3L97MIi41T+GIhDAvVaPQ1lZqxvWVUWhhuu6cwrfNTAdN6l1Ejxw5kuTkZFasWHHXcz755BOysrIYO3Zsfd9GNAK5tSfMyejeP3cS2HY4XuFohDAfadlFHLucBsDQ7n64OdspHJEQd3fnFL4rCTncSMpVOCLj1buIXrhwIb6+vrz55pu88MILbNu2DYDMzEx2797NSy+9xNKlSwkICGDu3LmNFrAwzq3bhZy+qr+1N7xHG7m1J0yes4ONYcrRqWsZJFduWSyEuLftR+LR6cBKrWJCv0ClwxHivkb0+PnuuDlO4at3Ee3m5saKFSvo0KEDO3fu5Pe//z0AP/74I4sWLWLz5s2EhITwySef4Ozs3GgBC+NsOxKPjqpbe+2UDkeIOhnXt61hI6DtR2U0Woj7ycor4fBF/Q5wA8Ja06pyF1AhTJmjvTWjeukHTc7HZBJf2YbXXDRocmxwcDCbNm1i7969HDp0iOTkZLRaLa1bt2bgwIGMGzdOFhUqKD2nmGPR+lt7QyL8cJdbe8JMuDnbMbS7H3tPJ3MsOp2pQ9ob+ooKIWraeTwBjVaHSqXfB0AIczGmd1u+P5FIWbmWbUfjeWZamNIh1VmDV5ip1WpGjx7N6NGjGyMe0Yh2VjYxV6tUTOgno9DCvIzv144DZ2+h0erYeSyBR8Z1VjokIUxSXlEZB8/eAqBPFx9aezoqHJEQdefiaMvwSH++P5HIqSvppGQW4tfq/t3fTIFsWWehsvNL+elCCgADuvniJaN4wsx4uTnQL9QXgJ/O3yKnoFThiIQwTT+cTKKsQgvIKLQwT+P6tsPaSoUO/dx+c1HvkegTJ04YdX6fPn3q+1aiHm7eyqNCo0MFhp2BhDA3E/sHcuRiKhUaHd8fT2T2yA5KhySESSkurWDPqSQAIkJa0c7XReGIhDCeh4sdg8L9OHD2Fkej05g6JBgvN9Mf/Kt3ET1//nxUKlWdz798+XJ930rUQ3h7T8b2aUtgaxezuS0ixC+18XKiZydvTl3LYN/ZZCYOCJQOM0LcYd+ZZIpLKwCYPCBI2WCEaIAJ/QM5eE4/hW/XsUTmju2kdEj3Ve8ietq0abUW0VqtlpSUFKKjoykoKGDUqFG4uro2KEhhPFsbKx4c1VHpMIRosIkDAjl1LYPSMg17TyUxZXCw0iEJYRLKyjV8fzwBgM5t3ekQ4KZwRELUn4+7A/26+nI0Oo2D528xeVAQbk62Sod1T/UuopcsWXLPx3Nzc1m8eDHXrl1jzZo19X0bIUQLF+znSrdgTy7FZrH7ZCJj+7bF3lZ23RTix/Mp5BWVAzBpoEzbE+ZvYv9AjkanUV6hZfeJRGYOD1E6pHtqsoWFbm5uvPHGGxQUFPDWW2811dsIIVqAyZXz+gtLKjhQ2YVAiJasQqNl5zH9KHRgaxe6BXkqHJEQDRfg40xkBy8A9p1JoqikXOGI7q1Ju3M4ODgQHh7O3r17m/JthBAWrlNbdzr4629V7zyeQHllJwIhWqqjl1LJzCsB9L9kGrNGSQhTNqly0KS4VMPe08kKR3NvTd7irqioiLy8vKZ+GyGEBVOpVIYv1tyCMg5dTFE4IiGUo9Xq2HIoDgC/Vo706OStbEBCNKIQfze6tHMHYPfJRErLNcoGdA9NWkTv3buXkydPEhQU1JRv06y0Wi0rV65k/PjxhIeHM2zYMJYsWUJRUZHSoQlh0SJCWhHg7QzAjqPxaLQyGi1apqMXU0jJ1P/Mmdg/ELWMQgsLM2lgEAD5ReX8eM50p/DVe3XOn/70p7s+VlRURFxcHNeuXUOn0/H444/X921Mzuuvv84XX3zBmDFjePzxx4mJieGLL74gOjqalStXolbL/jVCNIWq0ejlmy+RkVPCicvp9O/WWumwhGhWOp2OdXuuAdDK1c6wIZEQliQ00IOg1i7Epeaz83gCw3v4Y21levVVvYvo77777r7ntGnTht/85jdMmzatvm9jUq5fv87q1asZO3YsS5cuNRwPCAjgtddeY9u2bURFRSkYoRCWrU8XH7778Sbp2cVsOxpP31BfGYUTLcql2CxuJOUCML5foEkWFkI0lH7QJIj/fXeBrLxSjl5KY3CEn9Jh1VDvIvrzzz+/62M2NjZ4e3sTEBBQ35c3SVu3bkWn0/Hoo49WOz579mzeeustNm/eLEW0EE1IrVYxsX8gK3dcITmjkPM3Mons6KV0WEI0m6q50K5OtgwxwaJCiMbSo5MXfq0cScksYvvReAaGtUatNq1Bk3oX0X379m3MOMzCxYsXUavVREREVDtuZ2dHly5duHDhwn1fQ61WNfpFYFU5EmElIxJ1Ivkyjqnla0j3Nmz6KZbs/FK2HY2nVxdvk+pMYGr5MnWSr7q7npTD5fhsQL+7m6Ps3nlfcn3VnSnmKmpQEB9tjiY1q4izMbfp29W0pi/JjgVGSE9Px8PDA1vbmjvo+Pr6cubMGcrKymp9vIqnp1OT/cB3dTX9feZNieTLOKaUr+kjOvLp5ovEJOeSnFVCeAfTG402pXyZA8nX/e3acBEAR3trHhjREScpoutMrq+6M6VcTRgcwsYfY0nPLiYhvZBxA52UDqkaKaKNUFxcfNcC2c7ODoCSkpJ7FtFZWYVNMhLt6upAXl4xGo10LLgfyZdxTDFf/bp48c1uGwqLy/lq12VeatVT6ZAMTDFfpkzyVTeJ6QUcj04FYNKgYDTlFWSXlCkclemT66vuTDVXz82IYN/pJIZF+JGdXdhs7+vhcf+Cvc5FdNeuXesdiEqlIjo6ut7PNxUODg5kZmbW+lhpaSkA9vb293wNrVaHVqtr9NgANBotFbIJRZ1JvoxjSvmyVqsZ0yuAjT/FcvFmFjeScghq7ap0WNWYUr7MgeTr3rb8FAuAjbWaKUNC0FRUSL6MINdX3Zlarvy9nJg3tjOAScUFRhTRfn6ygMHHx4cbN27UOmUjLS3trlM9hBCNb2SvAHYcT6C0TMO2I/H85oFwpUMSokmkZxdx7HIaAMN7+OPuYkd2doXCUQkh6lxEy9bdEBYWxk8//cT58+fp3bu34XhpaSlXrlypdkwI0bScHWwYEenPzuMJnL6aQUpmIX6tTGu+nBCNYeexBHQ6sFKrmNA/UOlwhBCVTGcJphmYOHEiKpWKVatWVTu+du1aiouLpb2dEM1sbN+2WFup0AHbj8YrHY4QjS47v5SfLui3ue/fzRcvt3tPGRRCNB9ZWGiEzp07M3fuXFavXs2zzz7LsGHDDDsW9u3bV4poIZqZu7Mdg8P92H/2FkcvpTFtcHtaSZEhLMjuE4lUaHSo0G/xLYQwHY1SRBcUFJCYmEhhYSE6Xe2L5vr06dMYb6W4P//5z/j7+7NmzRr279+Ph4cH8+bNY9GiRbLltxAKGN8/kAPnbqHR6th5LIG5YzspHZIQjaKguJx9Z5IB6NnZW6YrCWFiGlREX7t2jddff53jx4/ftXiucvny5Ya8lcmwsrLi8ccf5/HHH1c6FCEE4OPuQL+uvhyNTuPg+VtEDQrC1UkW+Arzt+dUEqXlGgAmDZBRaCFMTb2HTuPi4nj44Yc5evQokZGRhi2+J06cSEREBFZWVgCMHDmSadOmNUqwQghRm4mVBUZ5hZbdJxMVjkaIhisureCHymu5W7CnybVwFEI0oIj+4IMPKCws5F//+hdfffWVoTPFW2+9xZo1a9i2bRu9evXixo0b/PGPf2y0gIUQ4pcCvJ3p0VG/a+He00kUlZQrHJEQDXPg7C0KS/Rt7CbLKLQQJqneRfTRo0cJCQnhgQceqPXxwMBA3n//fbKzs3n33XfrHaAQQtRF1Wh0camGPaeTFY5GiPorr9Cw63gCAB0C3OjU1l3ZgIQQtap3EZ2ZmUlISIjh79bW+unVVTv3Abi6utK3b1/2799f/wiFEKIOQtq40TXQA9B3NCgt0ygckRD189OFVHIL9Vt6Tx4QiEqlUjgiIURt6l1Eu7u7U1ZWZvi7m5sbAMnJNUeA7rZVthBCNKaq294FxeUcPHdL4WiEMJ5Gq2VHZc/zdj7OhLdvpXBEQoi7qXcRHRAQwK1bP/+Q6tq1Kzqdju3btxuOZWVlcfz4cdkyXAjRLLoEehDSRr8Aa+fxBMortApHJIRxjkWncTu3BIBJA4NkFFoIE1bvInrQoEFcv37dMPI8YsQIPDw8eP/99/ntb3/LkiVLmDlzJvn5+UyYMKHRAhZCiLtRqVRMGhAE6Hd6O3IpVdmAhDCCVqdj2xH9KLSvpyO9OnkrHJEQ4l7q3Sd66tSplJWVkZmZib+/P46Ojvz3v//lhRdeYMeOHYbzBg0axK9//etGCVYIIe4nokMrArydSMooZPuReAaFt8ZKNkISZuDMtdukZBYBMLF/O9RqGYUWwpTVu4hu164dL774YrVjAwYMYN++fZw8eZK8vDyCgoIICwtrcJBCCFFXapWKiQMC+WhzNOk5xZy4kk7/0NZKhyXEPel0OrYeiQPA09WOAd3kmhXC1NV7eOaNN97gypUrNY47OjoydOhQJk+eLAW0EEIRfbv44uPhAMC2I/Fo77OjqhBKuxSXRXxqPgAT+gVibSV3T4QwdfX+v3TFihU88MADTJo0ieXLl9falUMIIZSgVquY2F/fqSM5o5BzN24rHJEQ97btsH4utKujDUMiZDG+EOag3kX0X/7yF8LDw4mJieHtt99m9OjRzJ07l2+++Ybc3NzGjFEIIYw2oFtrPFzsANh6OB6djEYLE3UtMYeriTkAjOnTFlsbK2UDEkLUSb2L6Pnz57N27Vp2797Ns88+S7t27Th16hSvvvoqgwcP5plnnmHHjh3VekkLIURzsbFWM75fOwBiU/KIjstWOCIharf1cBwAjnbWjOwZoGwwQog6a/Ckq7Zt2/Lss8+ya9cu1q9fz/z583Fzc2Pv3r387ne/Y+DAgfzpT39qjFiFEMIoQ7u3wdXRBoAtlYWKEKYkNiWPi7FZAIzuHYCDXb3X+wshmlmjrlwICwvjz3/+MwcPHuSzzz5j4sSJFBQUsHHjxsZ8GyGEqBM7GyvG9dWPRl9LzOFqgoxGC9NSNQptZ2vF6N5tlQ1GCGGUJln+e+LECXbs2MFPP/3UFC8vhBB1NryHP072+tG9rZUbWQhhChLTCzhzXb/odWRPf5wdbBSOSAhhjEa7b3T58mU2b97M9u3bSU9PR6fT4eTkxLRp04iKimqstxFCCKM42FkzpndbNv4Uy6XYLG7eyqN95dbgQihpW2VfaFtrNeP6tFM2GCGE0RpURCcmJrJ161a2bt3KzZs30el0WFtbM2zYMKZMmcKoUaOws7NrrFiFEKJeRvUOYOfxBErKNGw9HMeimRFKhyRauJTMQk5cTgdgaGQbXJ1sFY5ICGGsehfRc+bM4fz584a2UT169CAqKoqJEyfi7u7eWPEJIUSDOdnbMKpXANuOxHP2xm0S0vJp5+uidFiiBdt+JB4dYG2lYkK/QKXDEULUQ72L6HPnztG+fXuioqKIiooiIEDa8gghTNeYPm3ZfSKRsgotW4/E88w02VFVKCMjp5gjl9IAGBzRxtDPXAhhXupdRG/YsIHQ0NDGjEUIIZqMq6Mtw3v48/2JRE5dSefW7ULaeDkpHZZogXYc1W9Fr1apmNhP5kILYa7q3Z1DCmghhLkZ17cd1lYqdMA26dQhFJCVV8JPF1IAGBDmi5e7g8IRCSHqq0la3AkhhCnycLFjSEQbAI5Fp5GeXaRwRKKl2Xk8gQqNDhUwaUCQ0uEIIRpAimghRIsyoX87rNQqtDqd9I0WzSqnoJQDZ28B0KerD609HRWOSAjREFJECyFaFC83BwaGtQbgyMVU0nOKFY5ItBQ7jyVQXqFFBUQNDFI6HCFEA0kRLYRocSYNDEKtUqHR6thWue2yEE0pt6CUfWeSAejVxQd/b2eFIxJCNJQU0UKIFsfH3YGB4frR6MMXU7kto9Giie2oHIUGmDIoSNlghBCNQopoIUSLNPmO0WiZGy2aUm5hGfsrR6F7d/YmQEahhbAIUkQLIVokH3cHBoT5AnDoQgq3c2U0WjSNXccSKDOMQgcrHI0QorFIES2EaLHuHI3eLqPRognkFZax90wSAL06eRPgI6PQQlgKKaKFEC2Wr4cj/bvpR6N/PJ9CZm6JwhEJS7PreAJl5fpR6CiZCy2ERZEiWgjRokUNDEKlQt+p46iMRovGk1dUxp7T+lHoHh29aOfronBEQojGJEW0EKJF8/V0pH9o5Wj0uVtk5clotGgcd45Cy1xoISyPFNFCiBZvsoxGi0aWX1TG3lP6jhyRHbwIbC2j0EJYGimihRAtnl8rJ/rdMRotc6NFQ+08nkBpuQaAqYNlFFoISyRFtBBC8PPc6AqNjq1H4pQOR5ix3MIy9pzSz4WWUWghLJcU0UIIgX40emA3/S6GP51PIV12MRT1tP1IvGEu9AND2yscjRCiqUgRLYQQlaIGB2Ol1veN3vJTrNLhCDOUnV/KvsrdCft08aGt9IUWwmJJES2EEJV83B0YHOEHwOFLqaRkFiockTA3Ww/HUaHRolLJXGghLJ0U0UIIcYeogUFYW6nQ6WCTjEYLI9zOKebguVsA9A9tTRsvJ4UjEkI0JSmihRDiDp6u9gyL9Afg+OV0EtMLFI5ImIvNh+PQaHWoVSqmDA5SOhwhRBOTIloIIX5h0oBAbK31X48bf7ypcDTCHKRlFXH4QioAgyNa4+vhqHBEQoimJkW0EEL8gruzHSN7BgBw5vpt4lLzFI5ImLpNh2LR6nRYqVVMHhikdDhCiGYgRbQQQtRifP922NlaAfDdQZkbLe4uOaOAY5fSABgW2QYvNweFIxJCNAcpooUQohaujraM6d0WgAs3M7mRlKtwRMJUbfopFh1gY61m0oAgpcMRQjQTKaKFEOIuxvVti4OdNQAbDsag0+kUjkiYmrjUPE5ezQBgRA9/PFzsFI5ICNFcpIgWQoi7cLK3YXy/dgBcScjhYmyWwhEJU7N+fwwAdrZWTOwfqHA0QojmJEW0EELcw9jebXFzsgX0BZNWRqNFpUuxWUTHZQMwoW87XCuvEyFEyyBFtBBC3IOdrRVTKneeS0wv4Fh0msIRCVOg1ekMo9CujjaM7dtW4YiEEM1NimghhLiPIRF++HroOy58d/Am5RVahSMSSjt5JZ34tHwAogYFY29rrXBEQojmZlFFdFpaGsuXL2fevHkMHjyYyMhIJk2axBtvvEF2dvZdn/PSSy/Rv39/IiIimD59Ojt27Kj13LKyMt59911GjhxJWFgYo0eP5v3336e8vLwpP5YQQmHWVmpmDAsB4HZuCfvPJisckVBShUbLhgP6TXi83e0ZFtlG4YiEEEqwqF+d9+7dy9KlSxk+fDi/+tWvcHJy4vz583z++eds376d9evX4+3tbTg/JyeHhx9+mKysLB577DFat27N1q1beeGFFygqKmLGjBnVXv+FF15gz549zJgxgx49enDmzBneffddEhISWLJkSXN/XCFEM+rV2ZtgPxdiU/LZciiOweF+hs4domU5eO4W6TnFAEwfGoK1lUWNRwkh6siifgL07t2bffv2VSuUZ8+eTffu3fnrX//KZ599xssvv2x47KOPPiIpKYkPPviAkSNHAjBz5kzmzJnDm2++yfjx43FycgLgwIED7NmzhwULFvDHP/4RgFmzZuHq6sqKFSuYPXs2PXv2bMZPK4RoTiqVipnDO/Dvr89QUFzOruMJTBvSXumwRDMrKatg80/6zXfa+TrTp6uPwhEJIZRiUb8+d+zYsVoBXWXChAkAXLt2rdrxrVu30q5dO0MBDWBlZcW8efPIycnhwIEDhuNbtmwB4NFHH632GlV/37x5c+N8CCGEyeoa6EFYsCcAu44nkltYpnBEorl9fyKRvCL9FL6Zw0NQq1QKRySEUIpFjUTfTVqafjW9l5eX4Vh6ejppaWlERUXVOD8yMhKACxcuMHHiRMOffX198fPzq3aun58fPj4+XLhwoU6xqNUq1OrG/dK1qryVaCW3FOtE8mUcyVd1c0Z15OInxygt17DtSByPjO9S7XHJl3HMKV95hWXsPJYAQGiQJ907eKFq5iLanPJlCiRfdSe5Ml6LKKLfe+89AKZNm2Y4lp6eDoCvr2+N86uOVZ1T9ecOHTrU+vq+vr6kpqbWKRZPT6cm+9J1dXVokte1VJIv40i+9Dw8nBjWI4ADZ5LYdzqZWWM608bLucZ5ki/jmEO+1h24SUmZBoCF08Lw9Kz53725mEO+TInkq+4kV3VnkkV0Xl4eq1atqvP58+fPx93dvdbHPvvsM3bu3MmcOXMYMGCA4XhJSQkAtrY1m+Pb2em3bS0uLq52fm3nVp1f9Xr3k5VV2CQj0a6uDuTlFaPRSOut+5F8GUfyVVPUwHb8dC4ZjVbHRxvO8/ys7obHJF/GMZd8pWQWsv2Qfi50364+eDnbkp1d2OxxmEu+TIXkq+4kV9V5eDjd9xyTLaKXLVtW5/OnTJlSaxG9bt063nzzTYYPH87ixYurPWZvbw/o29b9UmlpKQAODg7Vzq/t3Krzq17vfrRaHVpt0+x4ptFoqZD+tXUm+TKO5Otnni72jOoVwPcnEjl1NYOLMZl0CfSodo7kyzimnq+vd19Ho9VhbaVi+rAQxWM19XyZGslX3Umu6s4ki+iAgACuXr3aoNdYv349ixcvZtCgQSxduhQbG5tqj/v46FdUV82XvlPVsapzqv5c27lV59c2LUQIYbmmDAri8MVUCorL+WbvdV55tE+j32USpuFSXBZnb9wGYEzvtvi4y+1uIYSFdeeosn79ev76178ycOBA3n///VqnYfj4+ODr68u5c+dqPHb27FkAwsPDDcfCw8NJS0sjJSWl2rkpKSmkp6cTFhbWuB9CCGHSHO1tmDZEvx14QloBhy6k3OcZwhxptTrW7LkOgIujDZMHBikbkBDCZFhcEb1hwwYWL15M//79ef/99w3zm2szadIkEhIS2Lt3r+GYRqNh9erVuLq6MnToUMPxyZMnA9SYq13199q6fAghLNuwyDa08dLPm9tw8CbFpRUKRyQa28Hzt0jK0M99fmBoe9lgRwhhYFHfBnv27OEvf/kLzs7OTJw4kV27dlV73MnJidGjRxv+/uSTT7Jr1y5efPFFFixYgK+vL1u3buXChQu89tprODv/vPJ6+PDhjBgxghUrVpCfn09kZCRnz55l/fr1TJkyhd69ezfb5xRCmAYrtZoHR3bgv2vPkVtYxvaj8cwZ1VHpsEQjKSqp4LuD+u29A7ydGBoh23sLIX5mUUV0dHQ0Wq2WvLy8GgsJAfz9/asV0R4eHnz99df85z//4csvv6SoqIgOHTrw9ttvG/pD3+ndd9/l/fffZ8uWLWzatAlfX18WLVrEk08+2aSfSwhhusLatyK8fSsu3Mxk1/FERvUKqNOqbmH6th2JI79yY5UHR3WUOe9CiGpUOp2uaVpFiFplZOQ3+mtaW6vx8HAiO7tQVtTWgeTLOJKv+7t1u5BXPj2OVqejX6gvf/1Vf8lXHZnq9ZWeU8xfPz5KhUZHZAcvFs2MUDokwHTzZaokX3UnuarO29vlvudY3JxoIYRobm28nBjRwx+AY9FpXI7NUjgi0VDr992gQqPDSq1i9sjaN9oSQrRsUkQLIUQjmDokGMfKRWcfb7qAVm7yma2rCdmcvJoBwMieAbT2dFQ4IiGEKZIiWgghGoGzgw1TButb3l1PzOHg2VsKRyTqo0KjZfXuawA42VszZXCQsgEJIUyWFNFCCNFIRvb0x7+y5d2avTfIL6p9l1NhuvacSiK5sqXdjOEhONnb3OcZQoiWSopoIYRoJNZWah6d0AWAwuJy1u+PUTgiYYysvBI2/hQLQLCfK0O7S0s7IcTdSREthBCNqEugByN6BQDw4/kUbiTlKhyRqKtv9t6gtEyDSgWPjOuMWiUt7YQQdydFtBBCNLIFUd0Miwy/+P4qGq20izJ1F2MzOXklHYCRPQIIbH3/9lZCiJZNimghhGhkHi72zBwRAkBiegF7TyUrHJG4l/IKDau/1y8mdHWy5YGhwQpHJIQwB1JECyFEExjZ8+fRzO9+vEl2fqnCEYm72XEsgfTsYgDmjOiAoywmFELUgRTRQgjRBNRqFfPHdkYFlJRpWLvvhtIhiVqk5xSz7Ug8AJ3butO/m6/CEQkhzIUU0UII0UTat3Fl2B07GUbHyU6GpkSn0/HV7muUV2ixUquYN64zKllMKISoIymihRCiCU0f2h5nB/30gM93XqW0XKNwRKLKiSvpnI/JBGBsn7aGHt9CCFEXUkQLIUQTcnaw4cFRHQD91IHvDt5UOCIBkFdUZlhM6OVmT9SgIGUDEkKYHSmihRCiiQ3o1pqIkFYA7D6RKL2jTcCX31+joLgcgAUTumBva61wREIIcyNFtBBCNDGVSsWj47vgYGeNDvhs+2XKZFqHYk5eSedEZU/o4ZFt6BrkqXBEQghzJEW0EEI0Aw8XOx4cqZ/WkZpVZNheWjSv/KIyVn9/FQBPVztmjeigcERCCHMlRbQQQjSTwRF+hAXrRz13HU8g5pZM62huX/9wnbwi/TSOxyrvDgghRH1IES2EEM2kalqHva0VOh2s2H6F8grZEry5nLmewdHoNKDyF5r2rRSOSAhhzqSIFkKIZtTKzZ7ZldM6bt0uZPMhmdbRHApLyvl8l34ah7uzrWFqjRBC1JcU0UII0cyGdW9D10APAHYcTSA2JU/hiCzfV7uvk1tQBsCj47vI1t5CiAaTIloIIZqZSqViwYQu2NlYodXpWL75EsWlFUqHZbGOXkrlyKVUQN9usHsHL4UjEkJYAimihRBCAV7uDjw8piMA6dnFho4RonGlZxcZpnG0crVnbmXOhRCioaSIFkIIhQwO96NfqC8ARy6lcehCisIRWZYKjZYPN12ipEyDWqXi6andZBqHEKLRSBEthBAKUalUPDKuM97u9gCs/v4aqVlFCkdlOb49EENcaj4ADwwNJsTfTeGIhBCWRIpoIYRQkIOdNU9PDcNKraK0XMOHmy5K27tGcD4mk13HEwEIDfJgQv9AhSMSQlgaKaKFEEJhwX6uzBgWAkBCWgHr9t9QOCLzllNQyqfbogFwcbRh4eRQ1CqVwlEJISyNFNFCCGECxvZta9jN8IeTSZy9cVvhiMyTVqfjk63R5FfuSrhwcijuznYKRyWEsERSRAshhAlQq1T8anIork62AHy27TK3c4oVjsr8bD0UR3RcNgDj+7YjXHYlFEI0ESmihRDCRLg52fLE5FBUQEFxOe99e176Rxvh1NV0Nv6k3wEy2M+F6cPaKxyREMKSSREthBAmpFuwJzOG6+dHJ2UU8snWaLQ6ncJRmb6EtHw+3qqfB+3qZMtvHgjH2kp+xAkhmo58wwghhImZ0K8dA7rp+0efuX6bjT/eVDgi05ZXWMbSb89TVq7F2krFc9PD8XS1VzosIYSFkyJaCCFMjEql4rEJXWjfxhWArYfjORqdqnBUpqm8Qsv/vrtAZl4pAI+O7yL9oIUQzUKKaCGEMEE21lY8Oz0cDxd9Z4kV268Qm5KncFSmRafT8cX3V7melAvA+H7tGBTup3BUQoiWQopoIYQwUe7Odjw3IxxbazXlFVqWfnue7PxSpcMyGbtPJvHTef1W6REhrZhZ2WtbCCGagxTRQghhwoJau/L4pK4A5BSU8e76cxSVlCsclfJOXklnzd7rALTxcuKpKd1Qq2VDFSFE85EiWgghTFzfrr5MGRQE6Hc0fHvtuRbd+u7cjdss33wJnQ6c7K1ZNCMcBztrpcMSQrQwUkQLIYQZmDo4mBE9/QGIuZVX2Y1Co3BUzS86Lov/fXcRjVaHg50VLz4YiY+Ho9JhCSFaICmihRDCDKhUKuaO6cSg8NYAXEnIYdl3Fyiv0CocWfO5npTDe9+ep0Kjxc7Git/OiiSotavSYQkhWigpokWLU1pailbbcgoPYTnUKhULJnSlTxcfAC7ezOLDTRep0Fj+9Rybksfba89V9oJWs2hGOB0CpJWdEEI5UkSLZpGamsJ//rOEhx6azsiRg5g4cRR//evLpKTcMpxz5Uo0gwf3ZseOrTWef+zYEQYP7s2hQz8ajmVkpPP6668SFTWWESMGMG/ebLZu3VTteadPn2Tw4N788MMuPvrofaZNm8Dw4QMpKCggNzeXZcve4ZFH5jBmzBDGjh3Giy8u4vr1a7XG//LLv2X06MFMnjyG9957yxDT6dMnq5176dJFfve75xg3bhijRg3i2Wef5Pz5s0blqyruX752SsotBg/uzfbtW4x6PWE51GoVT0SFEtnBC9BvxvLptstotZa7q2FiegH/XXOWkjINVmoVz04Po2uQp9JhCSFaOFmJYSaKSipIySqs9TFrKzUueaXk55c0+YiUn6cTjvbGXzaXL1/i4sXzjB49Dm9vH1JSbrFx47c899xTrF69Dnt7e7p0CaVNG3/27t3NhAmTqz1/z57vcXFxpV+/AQBkZWXy1FMLAJgxYzbu7u4cPXqYJUv+QVFRIbNnP1zt+StXfoqNjTUPPTQPjaYCGxsbbt1K5scf9zNixGj8/NqQnZ3Fpk0beO65J1m9eh1eXt4AFBcXs2jR02Rm3mbWrIfw9GzF7t07OX36VI3PeerUCX7/+0V07tyVBQueQK1Ws23bFp5//tf8738fExoaZnTuhPglays1v57WjffWn+dSXDbHotOoqNCyMCoUOxsrpcNrVNcSc1j67XkKSypQqeCpKd2ICPFSOiwhhJAi2hwUlVTw0geHKTKB1fiOdta8+euBRhfSAwcOZsSI0dWODRo0lKefXsD+/XsYP34SAKNGjeXrr78gLy8PV1f9XMfy8nIOHtzPsGEjsLbWv+9HH72PRqPh88+/wc3NHYBp02byf//3Zz777COmTp2Ond3P2/6WlZXy6aefY2dnj7W1GgcHB0JCOvD11xtQq3++ITNu3ETmzp3J1q2beOyxhQBs2vQtt24l869//YchQ4YDMHXqdB5/fG61z6PT6fj3v/9Fjx69eeut91CpVIZz582bw8cff8Dbb//PqLwJcTc21lY8OyOCt9ee41piDqeuZZD99RkWzYjA1clW6fAaxbHoND7dFk2FRodKBQsnhdK7ciqLEEIoTaZziGZxZ0FbUVFBbm4OAQFtcXZ24dq1K4bHRo4cQ0VFBQcP7jUcO378KAUF+YwaNRbQF6v79+9l0KAh6HSQk5Nj+KdfvwEUFBRw9erPrwkwYcLkajEA2NraGgpojUZDbm4ODg6OtG0bWO35x44dwdvbh8GDh93xeeyIippW7fWuX79KUlICY8aMIzc31xBTcXEJvXv34dy5MzIXWzQqOxsrfje7u6GwvHkrj9c+P0lKZu13rcyFTqdj25E4lm++RIVGh62NmudmRDAgrLXSoQkhhIGMRJsBR3v96O89p3O42Jv0dI7S0hK++GIl27dvISMjHZ3u5/mbBQUFhj937NiJwMAg9uzZzeTJ0wDYu/d73N3d6dmzNwA5OdkUFOSzefN3bN78Xa3vl52dXT1uvzY1ztFqtaxZ8yXffbeelJRbaDQ/twtzc/t5wVJqagr+/gGGkeUqAQFtq/09MTERgH/+8293SwMFBQWGEXYhGoOtjRVPT+3Gt2727DiWwO3cEl7/4hTPTg+nczsPpcMzWoVGy+rvr3HwnH69hJuTLc/PipAuHEIIkyNFtJlwtLcmpE3tK9GtrdV4eDiRnV1IhYm2u3r77X+zffsWZs16iLCwcJydnQEVf/vbn6sV1KAfjf7888/IycnB0dGRn346yOjR4wxTOapGc8eNm8D48ZN/+VYAdOjQsdrf7ezsapyzcuVnfPTR+0yaNIWFC5/G1dUNlUrFe++9Va8RY51O/5xnnnmejh071XqOo2Pd+tn+smCvIiPZojZqlYpZIzrg5e7A6u+vUlhSwVtrzrJgQlezGr0tLq3gg40XuRibBYC/lxMvzOpOKzf7+zxTCCGanxTRollUzXt+7rnfGo6VlpZWG4WuMmrUWFas+Jj9+/fg6dmKwsJCw1QOAHd3DxwdndBotPTp06/eMe3b9wM9e/bmT396pdrxgoICwzxrgNat/YiLi0Wn01UrbpOSEqs9z98/AAAnJ6cGxQXg4uJqiOVOqakpDXpdYdlG9PCnlas9H2y6SGmZho+3RhMdn8VDozrV6w5Sc7ocl8VHm6PJzCsBIDTIg2emhZt83EKIlkvmRItmoVbX7Bjw7bdrqk2hqBIUFExISAf27t3Nnj3f06qVF5GRPQ2PW1lZMXz4SA4c2MvNmzdqPP+XUznuHpO6xij43r0/kJGRXu1Y374DyMhI56efDhiOlZaWsmXLxmrnde7cFX//AL7+ejVFRUX1jgv0hbuVlRXnzp2udvy779bV+TVEyxQR0oo/ze2Jh4v+7suhC6m88tkxouOyFI6sdmXlGj7eeIF/rT5tKKCHRPjxwqzuUkALIUyafEOJZjFw4GB27dqOk5MzQUHBXLp0gZMnj1ebe3ynkSPH8Omny7G1tWXy5KnVOmgAPP30s5w+fZInn3yMqKgHCAoKJi8vj2vXrnDy5HF27Nhb6+veafDgIXz66ce8/vqrhIVFcPPmDb7/fidt2vhXO2/q1Ols2LCWv/3tL8ya9RCtWnnx/fc7sLXVd0CoGp1Wq9W8/PJf+f3vn2f+/NlMnBiFt7cPGRnpnDlzCkdHJ9588+065cvZ2Znhw0exfv0aQIW/fwCHD/9oVCEuWq52vi78/Vd9+XL3NY5eSiMrr5T/fHOWUT0DmDkixGTa4N28lcen26JJydT/0ulkb838cZ3p29VX4ciEEOL+pIgWzeL553+PWq1m9+4dlJaWER7enXfe+R+/+91ztZ4/atRYPv74A0pKShg5ckyNxz09W/Hxx6tYseJjDhzYy3ffZeLm5kZQUAi//nXtr/lLjz76KwoLi9m9eyd79nxPp05dePPNd/jww6XVznN0dOTddz/gnXf+zbp1X+Pg4Mj48ZMID4/gL395CVvbn+db9+zZm+XLP2Plyk/YsGEtxcXFeHq2IjQ0jKlTpxuRMfjtb19Co6lg06ZvsbGxZeTI0TzzzPM88sgco15HtExO9jY8GdWNnh29+XzXVQqKy9lzOomLsZk8Mr4LXQOVW3RYXFrB9qPx7DiagLbyblD3Dl48Or4z7s411y8IIYQpUul+eT/bgmi1Wh566CHOnj3L8OHDWb58eY1z0tLSeOuttzh48CBFRUV06NCBJ554ggkTJtQ4t6ysjA8++IBNmzaRnp5O69atmT59Ok888QQ2NjZ1iikjI7/Bn+uXzGFhoSlprHytXfsV7733X777bjve3pbbu1auL+OYYr5yC8tYteMKZ2/cNhzr1NadqYOC6BLocdeFrI2tqKSCPaeT+P54AoUl+r739rZWPDEtnN4dW6HRWOyPo0ZjiteXKZN81Z3kqjpvb5f7nmPRI9FfffUV167V3MK5Sk5ODg8//DBZWVk89thjtG7dmq1bt/LCCy9QVFTEjBkzqp3/wgsvsGfPHmbMmEGPHj04c+YM7777LgkJCSxZsqSpP45QUGlpSbU+06WlpWzatIGAgHYWXUALy+DmZMtzM8I5fDGVb/Zcp7CkgmuJOfz7m7N0CHBjyqAgugV5NlkxXVRSzu6TSew+kVht06jQIA9+NTmUTsFeZGcXAlJECyHMh8UW0ampqfz3v/9l0aJFdy1wP/roI5KSkvjggw8YOXIkADNnzmTOnDm8+eabjB8/HicnJwAOHDjAnj17WLBgAX/84x8BmDVrFq6urqxYsYLZs2fTs2fPWt9HmL8///klfH196dixMwUFBXz//Xbi4+N45ZXXjHodjUZDTs695zU7ODjWuRWeEHWlUqkYFO5Hz07e7DuTzM5jCRQUl3MjKZf/rjlHsJ8rA8Na0z2kFV7uDg1+vwqNluuJOZy5cZtDF1IoLv15EXHXQA+mDAqiczsPrK1lfbsQwjxZbBH96quv0rZtWx555JG7FtFbt26lXbt2hgIa9J0f5s2bx8svv8yBAweYOHEiAFu2bAHg0UcfrfYajz76KCtWrGDz5s1SRFuwfv36s2XLRnbv3olGoyUoKJhXX329Wuu9ukhPT2PWrCn3PGfBgif41a+eaki4QtyVg501E/sHMqpnQGUxHU9eUTmxKXnEpuTx5W59f+aIDq3oHuJFiL8rVuq6Fbr5RWVcuJnJuRuZXIzNrFY4A3QL9iRqYBCd2ro3wScTQojmZZFF9M6dO9m3bx/ffPMNVla1r0JPT08nLS2NqKioGo9FRkYCcOHCBUMRfeHCBXx9ffHz86t2rp+fHz4+Ply4cKFxP4QwKbNnP8zs2Q83+HU8PVvx9tv/u+c5v+wOIkRTsLO1Yny/dozo6c/Bs7f48fwtkjL0u6Im3y4k+XYhO44mYG2lws3JDndnW9yd7XBztsXNyZayCi05BaXkFJSRW/nvguLymu9jY0VYe0/G921HiH/t3XiEEMIcWVwRnZ+fz2uvvcacOXMMxXBt0tP1vYB9fWu2Uqo6VnVO1Z87dOhQ62v5+vqSmppap/jUahVqdePOO7SyUlf7t7g3JfNlbe3AgAEDmv19G0KuL+OYW76srdVMGBDIhAGB3M4t4dyN25y9nkF0bDblGi0VGh2ZeSWGHs514eVmT2RHLyI7etMl0B1b67u31DO3fClN8mUcyVfdSa6MZ5JFdF5eHqtWrarz+fPnz8fd3R2Af//73+h0Ol588cV7PqekRP8DoarX752qtoguLi6udn5t51adX/V69+Pp6dRki3dcXRs+j7ElkXwZR/JlHHPMl4eHEx2DWjFzdGdKSis4f+M28al5ZOWVkJ1XSlZeif7P+aXY2VjRys0eDxc7PFztaeVmTytXe8I6eNHO18Xo7zlzzJeSJF/GkXzVneSq7ky2iF62bFmdz58yZQru7u6cPHmStWvX8uabb+Lq6nrP59jb6zstlJWV1XistLQUAAcHh2rn13Zu1flVr3c/WVmFTTIS7erqQF5eMRqNtKW5H8mXcSRfxrGkfHVs40LHNvdv8/RLOTk1d+y8G0vKV3OQfBlH8lV3kqvqPDyc7nuOSRbRAQEBXL161ejn/f3vf6dLly50796d+Pj4ao8VFxcTHx+Pi4sLnp6e+Pjo25KlpaXVeJ2qY1XnVP25tnOrzq9tWkhttFodWm3TtHHSaLTS29EIki/jSL6MI/kyjuTLOJIv40i+6k5yVXcmWUTX161bt8jPz2fs2JodE44dO8bYsWOZO3cur7zyCj4+Pvj6+nLu3Lka5549exaA8PBww7Hw8HC2bNlCSkpKtcWFKSkppKenV+vwIYQQQgghLJtFFdFvvPEG5eU1V4c///zzdOvWjSeffJLAwEDD8UmTJvHZZ5+xd+9eQxGs0WhYvXo1rq6uDB061HDu5MmT2bJlC6tWrTL0iQYMc7dr6/IhhBBCCCEsk0UV0aNGjbrrY97e3owfP77asSeffJJdu3bx4osvsmDBAnx9fdm6dSsXLlzgtddew9nZ2XDu8OHDGTFiBCtWrCA/P5/IyEjOnj3L+vXrmTJlCr17926yzyWEEEIIIUyLRRXRxvLw8ODrr7/mP//5D19++SVFRUV06NCBt99+29Af+k7vvvsu77//Plu2bGHTpk34+vqyaNEinnzySQWiF0IIIYQQSlHpdLqmWeUmapWRkd/or2ltrcbDw4ns7EJZDFAHki/jSL6MI/kyjuTLOJIv40i+6k5yVZ239/07E0lHbSGEEEIIIYwkRbQQQgghhBBGkiJaCCGEEEIII0kRLYQQQgghhJGkiBZCCCGEEMJI0p1DCCGEEEIII8lItBBCCCGEEEaSIloIIYQQQggjSREthBBCCCGEkaSIFkIIIYQQwkhSRAshhBBCCGEkKaKFEEIIIYQwkhTRQgghhBBCGMla6QBE7bRaLZ9//jnffPMNycnJeHp6MmHCBBYtWoSjo2OTP9/cNOTzxsbGsnnzZg4dOkRCQgKlpaW0a9eO8ePH8+ijj0q+7qO4uJjJkyeTlJTE3LlzeeWVV5ooauU0Rr5ycnJYvnw5P/zwA6mpqTg5OdGxY0eef/55evfu3cSfoHk1NF+FhYV88cUXbNu2jaSkJGxtbQkODmb27Nk88MADqFSqZvgUzWP58uVcunSJS5cukZSUhL+/P3v37jX6dTZu3MjKlSu5efMmzs7OjBgxghdffBFPT88miFo5Dc1XWloaGzdu5McffyQuLo6CggL8/f0ZOnQoTz75JB4eHk0YffNrrOurilar5aGHHuLs2bMMHz6c5cuXN2K05keKaBP1+uuv88UXXzBmzBgef/xxYmJi+OKLL4iOjmblypWo1fe+idDQ55ubhnzeb7/9li+//JKRI0cSFRWFtbU1x44d45133mHHjh2sXbsWe3v7Zvw0Ta8xr4/33nuPrKysJoxWeQ3NV3JyMvPnz6eoqIiZM2cSFBREQUEBV69eJS0trZk+RfNpSL60Wi1PPPEEZ86cYdq0acybN4/i4mK2bdvGn/70J2JiYvjDH/7QjJ+maf33v//F3d2d0NBQ8vPz6/UaK1eu5F//+hd9+/blL3/5C6mpqaxcuZKzZ8+ybt06ixoIaGi+9u7dy9KlSxk+fDi/+tWvcHJy4vz583z++eds376d9evX4+3t3QSRK6Mxrq87ffXVV1y7dq0RIrMQOmFyrl27puvcubPu2WefrXb8888/13Xq1Em3efPmJn2+uWno5z1//rwuLy+vxvH//ve/uk6dOum++OKLRo1XaY15fVy8eFHXtWtX3Weffabr1KmT7tVXX23scBXXGPl66KGHdEOHDtWlpaU1VZgmo6H5On36tK5Tp066f/7zn9WOl5aW6kaOHKnr1atXo8espISEBMOfJ02apBsxYoRRz8/MzNR1795dN2PGDF1FRYXh+J49e3SdOnXSffDBB40WqyloaL6uXbumS09Pr3F87dq1uk6dOumWLFnS4BhNSUPzdaeUlBRdjx49DN/3Tz75ZGOEaNYsazjSQmzduhWdTsejjz5a7fjs2bNxcHBg8+bNTfp8c9PQzxseHo6Li0uN4xMnTgSwuN+6G+v60Gg0LF68mCFDhjBmzJimCNUkNDRfJ06c4NSpUyxcuBAfHx/Ky8spLi5uypAV1dB8FRQUAODj41PtuK2tLR4eHjg4ODRuwApr27Ztg56/Z88eiouLmTdvHlZWVobjI0eOpG3bthb3fd/QfHXs2LHWkeYJEyYAlvd939B83enVV1+lbdu2PPLII432muZOpnOYoIsXL6JWq4mIiKh23M7Oji5dunDhwoUmfb65aarPm5qaCoCXl1eDYzQljZWvqvmX7733XlOEaTIamq8DBw4A4Ofnx9NPP83BgwfRaDQEBQXxzDPPMHXq1CaLXQkNzVdERASurq588skn+Pv70717d4qLi9m4cSOXLl3i1VdfbcrwzU5VPnv06FHjse7du7Nt2zYKCwtxcnJq7tDMStW0Kkv7vm8sO3fuZN++fXzzzTfVfllr6WQk2gSlp6fj4eGBra1tjcd8fX3Jzs6mrKysyZ5vbpri82o0Gj744AOsra2ZPHlyY4VqEhojX4mJiSxdupRnnnmGgICApgrVJDQ0X7GxsQAsXryYnJwclixZwuuvv46NjQ0vvfQS3377bZPFroSG5svNzY0PPvgANzc3XnjhBUaMGMHEiRP58ssvWbp0KbNnz27K8M1Oeno6oM/tL/n6+qLT6QzniLurGgyYNm2asoGYoPz8fF577TXmzJlDZGSk0uGYFBmJNkHFxcW1/gAC/WgOQElJyV3PaejzzU1TfN7XX3+dM2fO8Lvf/Y727ds3SpymojHy9be//Y22bduyYMGCJonRlDQ0X4WFhQA4OTnx+eefG84bPXo0o0eP5u233+aBBx6wmMW+jXF9OTo60qlTJ0aOHEnPnj3Jycnhq6++4sUXX+T9999n0KBBTRK7OaqaGlRbPu/Mt7i7zz77jJ07dzJnzhwGDBigdDgm59///jc6nY4XX3xR6VBMjmV8a1sYBweHu47UlJaWAtyzW0RDn29uGvvzvvPOO6xevZo5c+bw1FNPNUqMpqSh+dq0aROHDh3i//7v/7CxsWmSGE1JQ/NV9dikSZOqFTpubm6MHDmSjIwMw2i1JWhovq5evcqDDz7IwIEDefnllxkzZgyzZs3iq6++wsvLi8WLF6PRaJokdnNUNUe8tpxb4vd9Y1u3bh1vvvkmw4cPZ/HixUqHY3JOnjzJ2rVrefnll3F1dVU6HJMjRbQJ8vHxuestz7S0tLveKm2s55ubxvy8S5cu5YMPPmD69OkWO/eyIfkqKytjyZIlDBs2DG9vb+Lj44mPj+fWrVuA/rZffHw8eXl5TfoZmlNDr6+q2+y1LWaqOpabm9tI0SqvoflauXIlpaWljB8/vtpxBwcHhg8fTnJyMsnJyY0et7mqWoBZW6vEtLQ0VCpVjUWaQm/9+vUsXryYQYMGsXTp0hYxKGCsv//973Tp0oXu3bsbvu/j4+MB/V2Q+Ph4i29xei9SRJugsLAwtFot58+fr3a8tLSUK1euEBYW1qTPNzeN9XmXLl3KsmXLeOCBB/jnP/9pURs63Kkh+SopKSErK4v9+/czduxYwz/z588HYPPmzYwdO5Z169Y16WdoTg29vqoW2FUtVL1T1bFWrVo1UrTKa2i+qubvarXaGo9VVFRU+7fQdxcCOHPmTI3Hzp07R3BwsCwqrMX69ev561//ysCBA3n//fctamCpMd26dYvLly9X+74fO3YsAMeOHWPs2LEsW7ZM4SiVI0W0CZo4cSIqlYpVq1ZVO7527VqKi4uJiooyHEtISCAmJqbez7cEDc0XwLJly1i2bBlTp07l9ddft5j5qbVpSL4cHBx49913a/zzf//3fwAMGTKEd999l5EjRzbPh2kGDb2+Ro8ejZOTE5s3bzbMjwZ9sbhnzx6CgoIIDAxs2g/RjBqar5CQEAA2bNhQ7XheXh579uzBzc3NovJljFu3bhETE0N5ebnh2KhRo7C3t+fLL7+sNs1l7969JCYmWtz3vTFqyxfor63FixfTv39/3n//fcPc8Zautny98cYbtX7nA3Tr1o13332XWbNmKRWy4lQ6nU6ndBCipn/84x+sXr2aMWPGMGzYMMOOXz179mTVqlWGIm/kyJEkJydz9erVej3fUjQkX19++SV///vfadOmDc8//3yNEWgvLy+LW8jU0Ovrl5KSkhg1apTFbvvd0HytWbOGV155hY4dOzJjxgzKy8v5+uuvycjI4MMPP2Tw4MFKfKwm05B8JScnM336dHJzc4mKiqJnz57k5uaydu1akpOTeeWVV5g7d65SH63Rbdy40TAdavXq1ZSXlxsW7LZp06Zat4j58+dz/Phx9uzZU60rzmeffcYbb7xB3759mTx5MmlpaaxYsYLWrVuzfv16ixqJbmi+9uzZw7PPPouzszN/+MMfahTQTk5OjB49unk+TDNojOurNp07d5Ztv5HuHCbrz3/+M/7+/qxZs4b9+/fj4eHBvHnzWLRoUZ0K4IY+39w05PNW9Vm9desWL7/8co3H+/bta3FFdEu7PhqqofmaM2cOHh4efPLJJ7z77ruoVCp69OjBf/7zH3r16tUMn6B5NSRf/v7+rFu3jv/9738cOXKE7du3Y2dnR9euXfnjH/9ouJVsKb799luOHz9e7VjVSF/fvn3r1HLt8ccfx93dnZUrV/Laa6/h7OzM+PHj+f3vf29RBTQ0PF/R0dFotVry8vJqXUjo7+9vUUV0Y1xf4u5kJFoIIYQQQggjyZCTEEIIIYQQRpIiWgghhBBCCCNJES2EEEIIIYSRpIgWQgghhBDCSFJECyGEEEIIYSQpooUQQgghhDCSFNFCCCGEEEIYSYpoIYQQQgghjCRFtBBCCCGEEEaSIloIIYTBxo0b6dy5M/v372+299TpdEybNo2oqCi0Wm2zva8QQjSEFNFCCNECJCUl0blzZ+bPn3/Xc0pLS3nnnXcIDw9n+PDhzRabSqXiN7/5DdeuXWPDhg3N9r5CCNEQUkQLIYQA4OuvvyYlJYWnnnqq2d979OjRtG/fnvfee4+Kiopmf38hhDCWFNFCCCEAfRHt7u7erKPQVVQqFVFRUaSlpbF3795mf38hhDCWFNFCCGHhli5dyqhRowA4fvw4nTt3Nvzzxz/+0XA8Li6OsWPHYmNjU+M1Ro4cSefOnQFYt24dUVFRREREMGjQIF555RXy8vJqPKewsJDly5czZcoUevXqRY8ePRg9ejSLFi3ixx9/rHF+VFQUAGvXrm20zy6EEE3FWukAhBBCNK2uXbsybtw4du3ahZeXF0OGDDE81qtXLwD27dsHQN++fe/5Wm+++Saff/45/fr1IzAwkNOnT7NmzRpiYmJYvXo1KpUKAI1Gw4IFCzh37hweHh707dsXOzs7UlNTOXjwII6OjtXiAGjbti1+fn4cPXqUkpIS7O3tGzMNQgjRqKSIFkIICzd69Gi6dOnCrl27aN++PUuWLKlxzqlTpwAIDw+/52tt3ryZzZs30759ewCysrJ48MEHOXnyJEePHmXAgAEAnDhxgnPnzhEeHs6XX36JnZ2d4TUKCgqIi4ur9fUjIiLYtWsXZ8+epX///vX5uEII0SxkOocQQgiuXr2KWq0mMDDwnuc9//zzhgIawNPTkwcffBCAkydPGo5nZWUB0LNnz2oFNICzszNhYWG1vn5wcDAAV65cMf5DCCFEM5IiWgghWrjCwkJKSkpwdXU1TMe4m0GDBtU4FhQUBEBGRobhWNeuXVGr1WzYsIG1a9eSnZ1dp1jc3d2Bn4twIYQwVVJECyFEC1dQUACAk5PTfc9t3bp1jWNVzysrKzMcCw4O5g9/+AMlJSUsXryYgQMHMmXKFP71r3/dc5TZ2dkZoNaFikIIYUqkiBZCiBauqnAtLCy877lqdd1/bDz++OPs3r2bv/71rwwbNoyUlBRWrlzJtGnTWLVqVa3Pyc/PB8DV1bXO7yOEEEqQIloIIVo4Jycn7O3tycvLa/Rtt/38/Jg/fz4ffvghR44c4c0338TKyop///vf5Obm1ji/6pinp2ejxiGEEI1NimghhGgBqno/3203wC5duqDVaomPj2+yGKytrZk6dSrh4eGUl5fX+l43b940xCOEEKZMimghhGgBPDw8sLGxITExEY1GU+Pxqn7RFy5caJT3O3r0KIcPH64xsp2YmEhMTAwqlQpfX98azzt//jw2NjZERkY2ShxCCNFUpE+0EEK0ALa2tgwePJh9+/YxdepUQkNDsbGxoWfPnsyYMYPhw4fz6aefcvz4caZMmdLg97ty5Qr/+te/8PT0pFu3bri7u5Odnc3x48cpKytj/vz5NYrohIQEUlNTGTJkiGy0IoQweVJECyFEC/HPf/6TN954g8OHD7N161Y0Gg0ajYYZM2bQt29fgoKC+P7773nllVewtbVt0HuNGDGCnJwcjh07xpUrV8jJycHT05NevXrx8MMPM2bMmBrP2bJlCwCzZ89u0HsLIURzUOl0Op3SQQghhFDeqlWreP3113nvvfcYN25cs763TqdjwoQJFBUVsXfvXqytZYxHCGHaZE60EEIIAB588EHatGnDRx991Ozv/cMPPxAbG8uiRYukgBZCmAUpooUQQgBgZ2fH888/z8WLF9m3b1+zva9Op+N///sfnTp1Yvr06c32vkII0RAynUMIIYQQQggjyUi0EEIIIYQQRpIiWgghhBBCCCNJES2EEEIIIYSRpIgWQgghhBDCSFJECyGEEEIIYSRpxtnMMjLyG/011WoVnp5OZGUVotVKs5X7kXwZR/JlHMmXcSRfxpF8GUfyVXeSq+q8vV3ue46MRFsAtVqFSqVCrVYpHYpZkHwZR/JlHMmXcSRfxpF8GUfyVXeSK+NJES2EEEIIIYSRpIgWQgghhBDCSFJECyGEEEIIYSQpooUQQgghhDCSFNFCCCGEEEIYSYpoIYQQQgghjCRFtBBCCCGEEEaSIloIIYQQQggjSREthBBCCCGEkWTbbwt1O7eYt9acQ6vVEuLvRgd/N0LauBHg44SVWn53EkIIc6XT6cgtKEWj1WFjpcbGWo1V5W5zQojmI0W0hUrNLCItqwiAjJwSjl5KA8DOxor2bVzp3dmbfqGtcbSXS0AIIUxVTkEpCWn5JN8u5NbtQlIyi0jJLKS4VFPtPBVgY63G0d6aYD9XOgS40dHfncDWzthYWykTvBAWTiooC9Ut2JOnp3bjfEwmMcm5pGUXA1BaruFyfDaX47NZs+8Gfbr4MCzSn5A2rjKKIYQQJqCopIKTV9M5eimVKwk5dXqODiir0FJWUMaZ67c5c/02ANZWKgJbu9AtyJNhkf54uNg1XeBCtDBSRFsolUpF366+9O3qC0BeURk3k/O4kZzL+ZhMkjIKKCvXcuhCKocupOLv5cSwyDYMi2wjoxZCCNHMKjRaLt7M4vClVM5ev02FRlvtcbVKhY+HA/7eTnRo64G7ow06dJRXaKmo0FJeoaVcoyUrr5QbybkkZRSg00GFRkdMch4xyXlsPRxPz87ejOrpT6e27jJwIkQDqXQ6nU7pIFqSjIz8Rn9Na2s1Hh5OZGcXUlGhve/5Op2O2JR8Dp5L5lh0OqXlP98W9HKzZ/aIDvTq7G2xX7DG5qulk3wZR/JlnJaeL61Ox/HoNL49cJPMvJJqj/m1cmRAt9ZEhLTCr5UTNtbqOueruLSCmyl53EjK5WpCdo0R7QBvZ0b18mdAt9bY2ljuwElLv76MIbmqztvb5b7nSBHdzEyhiL5TcWkFxy+nsf/MLeLTfo6tc1t3HhrdkXa+97+IzI18URhH8mUcyZdxWnK+riZks2bvDeJSf/7udXW0oW+oLwPDWhPo61JjMKO++UrLLmLf6WR+PJ9CcWmF4XgrV3vmjulEZEevhn8gE9SSry9jSa6qkyLaBJlaEV1Fp9Nx4ko66/bFGEZDVMCQ7n48MDQENyfbRoxYWfJFYRzJl3EkX8ZpiflKySxk3b4Yzt64bTjm4+HA9KHt6dnJG2uru3dQami+Sss0HIlOZc+pJJIzCg3He3T04uHRnWjlZm/0a5qylnh91Zfkqrq6FNEyJ1oAP8+hjuzgxa4TiWw/Ek9puYaD51I4dTWDX00OJbKDZY5UCCFEc9BotWz6KY7tR+LRVo5fOdlbM2VwMCN6+N+zeG4sdrZWDI/0Z1j3Npy6msHXe66TnV/Kmeu3uRSXxdTBwYzp3bZZYhHC3EkRLaqxtbEiamAQg8P92HAghkMXUyksqeC99ecZ368d04e2ly9XIYQwUlZeCcs3X+J6Ui6g75oxundbJg8IxNHeptnjUalU9O7iQ7dgTzb9FMsPJ5MoK9eybl8Mhy+m8sTkUIuczidMy6efLmfFio/56qtvWbnyEw4dOoiNjQ1Tp85g4cKnSU9P4+233+T06VPY29vz0EPzeeiheQDMnBlFampKra/73nsf0rNn7yaPX4poUSsPFzt+NTmUgWGtWb4lmrzCMnYeS+BGUi5PT+2Gp6tl3fITQoimcvbGbT7dGk1hiX4ucqcAN341ORRvdweFIwMHO2seHNWRgWGt+WLXVWJu5ZGcUcjrX5xiwcSu9Av1VTpE0QL83//9icDAYJ5++jmOHPmJVas+xdXVlU2bNtCzZx9+/evn+P77Hfzvf+/QtWsokZE9WbToRYqLi6q9zpo1X3HjxjXc3NybJW4posU9dQ3y5NUFfVi++RJXEnK4kZzL31acYOHkrkSEyPQOIYS4mwqNlvX7Y/j+RCKgX2cyeWAQUwYHmdzOse18XfjT/F4cOJPM13tuUFahZfnmS8Sn5jNjeHuTi1fo+4mnZBXe/8Q6srZS45JXSn5+SY0Wi/fi5+nU4I3bunbtxksv/QWAKVMeYNasKSxb9g5PPfUb5s17DIDRo8cxbdp4tm3bTGRkT4YOHV7tNfbu/YFr166wcOHThIR0aFA8dSVFtLgvN2c7fv9gDzYfimXLoTgKist5Z915pg0OJmpQkMW2whNCiPrKzi9l2YYLxKbkAeDqZMuTUaGEBnkqHNndqVUqRvQMIMjPlWUbLpCdX8rO4wkkpOfz9NQwnB2af9qJqF1RSQUvfXCYojs6rSjF0c6aN389sEGFdFTUNMOfrays6Ny5K+npaUye/PNxFxcX2rUL5Nat5BrPj429yb/+9XeGDBnGo4/+qt5xGEt+tRR1olarmDakPb+bE4mLo/6LdONPsXy1+7phgYwQQghIyyriX6tPGQro0CAPXn28r0kX0HcK9nPllcf60CnADYDouGz+vvIECWmN311KCABf39bV/u7s7IytrR3u7u7Vjjs5OZOfn1ftWGFhAX/5yx/w9vbmr399tVkH9mQkWhilW7Anf1vQl7fXniUpo5A9p5MoLC3n8YldZcGhEKLFi0/N5+21Z8krKgcgamAQU4cEozazO3ZuTrb8/qEerNlzgz2nk7idW8Lrq0/x/IwIuprJLwOWzNFeP/rb6NM5XOwVmc6hVtfc8MfqLjXFLzsz//Ofr3L79m0+/ngVTk7ODYrDWFJEC6N5uNjx8tyevLPuHDHJeRy9lEZRSQXPTAuz6J2vhBDiXq4mZPPet+cpLtWgAuaO7cTIngFKh1Vv1lZq5o7tRGBrFz7fdZWyci3vrD/PczPCCQtupXR4LZ6jvTUhbdwa7fXMsU/0F1+s5Mcf9/PPf/6bwMCgZn9/GToU9eJkb8Pv5/SgW7B+ROJ8TCb/XXuOohLl52cJIURzO3v9Nv9de47iUg1WahVPTAk16wL6ToMj/HhhVgS21mrKK7S8t/4C52Nu3/+JQjShEyeO8cknH/DII4/XWGTYXKSIFvVmZ2vF8zMj6NPFB4BriTm8+fVp8orKFI5MCCGaz+GLKSzbcIHyCi221moWzYygf2jr+z/RjIQGefLb2d2xs7GiQqNl6bcXOHM9Q+mwRAv26qt/wd3dnYCAtuzatb3aP1lZmc0Sg0znEA1ibaXmqSndcLS35sDZWySkFfDuunP84aEe2NvK5SWEsGzHL6fx6dbL6NB3KXhhVnc6BDTeLXZT0rmdB7+d3Z23152jtEzD+99d5Omp3ejV2Ufp0EQLlJOTA8A///m3Go+9996HeHo2/ZQjle6XM7RFk8rIaPzVzaYwj0mn07Fm7w1DP9RuQR48P6u7SS42NIV8mRPJl3EkX8Yx53xdisvinbXn0Gh1uDja8IcHexDg07QLm0whXzHJufx37VmKSzWoVSqenBJK366muSmLKeTLXEiuqvP2vv+OnaZX4QizpFKpmDOyA4PC9LcwL8Vl88nWaGl/J4SwSLEpeSzbcAGNVoedrRW/nd29yQtoUxHi78bvH+yBo501Wp2Oj7dEczkuS+mwhGh2UkSLRqNSqXh0QhciQvS3UI5fTufrH67XaEcjhBDmLC2riHcqpzRYW6l4bno4Qa1dlQ6rWQX7uVZO27NCo9Wx7LuLJN9uvHZrQpgDKaJFo7K2UvPraWGE+Ot/oOw5lcTWI/EKRyWEEI0jO7+Ut9acJb+oHBXwRFQ3s9lEpbEFtnbhmQfCUKtUFJdW8M7ac+QWlCodlhDNRopo0ejsbKx4fmZ32ng5AfDdwZscOFtzm04hhDAnRSXlvL32LLdzSwCYN7aToTtRSxUW3IpHx3cGIDOvhHfWn6ekTFqdipZBimjRJJwdbPjd7O54utoB8Pmuq0TLnDkhhJnSaLUs23CBpAz9lIUpg4IYYSF9oBtqSPc2TB4YBOh3bFy+6RJarUzjE5ZPimjRZDxd7fnd7Egc7azR6eDDTZe4nVusdFhCCGG0dftiuJKQA8DwHv5MHRysbEAm5oEhwfTvpu/QcS4mk69+uCbrYYTFkyJaNKk2Xk48NbUbKqCguJxlGy5QVq5ROiwhhKizo5dSDe07u7RzZ+6YjqhUKoWjMi0qlYoFE7rSpZ07AHtPJ/PDqSRlgxKiiUkRLZpcePtWTBvaHoCEtAI+33VVRiiEEGYhIS2flTuuAODpasfTU8OwUsuPztrYWKv5zfRw/Fo5ArB27w1uJOcqHJUQTUe+CUSzmDQgkB4dvQA4fDGVvadloaEQwrQZ7p5VaLG2UvObB8JxdbJVOiyT5mRvw3MzIgyt7z7YeJH8ojKlwxKiSUgRLZqFWqVi4eRQwwjFN3uucy0xR9mghBDiLrRaHcs3XzJ04pg/rhPBfi2rF3R9tfZ0ZMHEroC+JeDHW2TjLWGZWkwRrdVqWblyJePHjyc8PJxhw4axZMkSioqK6vwaOTk5vPHGG4wZM4bw8HD69+/P/PnzOXnyZBNGbjkc7Kx5dnq4YYTi/Y0Xyc6XnqJCCNPz3Y83uRSr7yg0ooc/QyLaKByReenTxYdRvfTdSy7GZrH1cJyyAQnRBKyVDqC5vP7663zxxReMGTOGxx9/nJiYGL744guio6NZuXIl6vvMcUtOTmb+/PkUFRUxc+ZMgoKCKCgo4OrVq6SlpTXTpzB/fq2cWDg5lGUbLpBXWMYHmy7y8sM9ZI6hEMJknLmWwbbKTaI6+Lvx0OiOCkdknuaM7MDNW3nEpuSx6cdYQvzd6NZCN6YRlqlFFNHXr19n9erVjB07lqVLlxqOBwQE8Nprr7Ft2zaioqLu+Rp/+MMf0Gg0bN68GR+flt1cv6F6dvJm8sBAth6O50ZSLtuOxDNlkLSLEkIoLzu/lBWVCwndnGx55oEwrK3kl/z60O9g241XV5ygsKSCjzZf4m8L+uLhYqd0aEI0ihbxzbB161Z0Oh2PPvpoteOzZ8/GwcGBzZs33/P5J06c4NSpUyxcuBAfHx/Ky8spLpZ+xw0xdXAwHfzdANj8Uxwxt2QFtxBCWVqdjs+2X6aguByAJ6JCcXeWgq8hvNwcWDg5FID8onI+3HSRCo1W4aiEaBwtooi+ePEiarWaiIiIasft7Ozo0qULFy5cuOfzDxw4AICfnx9PP/003bt3JzIyknHjxrFp06Ymi9uSWanVLIwKxd7WCq1Ox8eboykula1ihRDK+eFkkmEe9Li+bQmVqQeNonsHLyYNCATgeuXdRyEsQYuYzpGeno6Hhwe2tjVbE/n6+nLmzBnKyspqfRwgNjYWgMWLFxMYGMiSJUsoLy9nxYoVvPTSS1RUVDBjxow6xaJWq1CrG7dJv1XlrUYrM7vl2MbLiUfGd+ajzdGk5xSzZu8NFkaFNvn7mmu+lCL5Mo7kyzimkq/E9AK+3R8DQDtfZ2aP7Ii1ten9NzSVfBlr5ogQriflci0xh62H4+jRyZv2bZq+24m55ksJkivjtYgiuri4+K4Fsp2d/lZdSUnJXc8pLCwEwMnJic8//9xw3ujRoxk9ejRvv/02DzzwwH0XJwJ4ejo12U5Xrq4OTfK6TWny0A5Ex+fw07lbHDx3i0GR/gxsplXw5pgvJUm+jCP5Mo6S+Sor1/DRJ8co12ixtVbz8iN98PF2USyeujDH6+sP83vz3H/2UVKm4dNt0bz92+HY2Vg1y3ubY76UIrmquxZRRDs4OJCZmVnrY6Wl+hZr9vb2d31+1WOTJk2qVmi7ubkxcuRINm7cSGxsLCEhIfeNJSursElGol1dHcjLK0ZjhnPN5o7uSPTNTLLyS3lv7Vl83ezwdL37f4+GMvd8NTfJl3EkX8YxhXx9+f1V4lPzAZgzqiMudlZkZxcqEsv9mEK+6stODQ+N7siK7VdITCvgk+/O8/CYTk36nuacr+YmuarOw8Ppvue0iCLax8eHGzdu1DplIy0t7a5TPar4+voC4O3tXeOxqmO5uXVbGKfV6tBqm6bpvEajpaLC/C58OxsrfjU5lP98fYbC4nI+2nyJ382JRN1EI/ZVzDVfSpF8GUfyZRyl8nUxNpNdxxMBCG/fiuGRbcziv5u5Xl+Dw/04eSWDCzcz2XUsge4hrejczqPJ39dc86UEyVXdtYiJL2FhYWi1Ws6fP1/teGlpKVeuXCEsLOyez69akJiamlrjsapjrVq1aqRoW6augR6M79cOgOi4bPacSlI4IiGEpSsoLufTbZcBcHG04fGJXZpsup3QU6lUPDahC0721uiAT7ddlkXlwmy1iCJ64sSJqFQqVq1aVe342rVrKS4urtYjOiEhgZiYmGrnjR49GicnJzZv3myYHw36BYt79uwhKCiIwMDApv0QLcADQ9vTztcZgG8PxHA7R9oICiGazpq918ktKANgwYSuuEk7u2bh4WLHvLGdAbidW8KavdcVjkiI+mkRRXTnzp2ZO3cu33//Pc8++yzr1q1jyZIlLFmyhL59+1Yroh977DEmTpxY7flubm68/PLLpKWlMWfOHFasWMFHH33EnDlzKC8vZ/Hixc39kSyStZWaxyd2Ra1SUVauZdWuq+h0TTP1RQjRsl36//buOz6q687//2tGvaCGkBCSUAFEk+im92aqARdMbBMnTnbjTfzD2WSTON7FG2djjLObxDZOHO/XG2ODC7jExlSbjum9V4G6kAAJCXVpZn5/jJBNAKNB5U55Px8PPxzfmTvznpOrO58599xzLhSx/aj9SuLQ1Pb06RJpcCLPMqhHNAO72xcu23o4n8PnLhucSMRxHjEmGuDZZ58lNjaWZcuWsXnzZsLDw3nssceYN29eo2bVePjhhwkPD+fNN9/klVdewWQy0bdvX/7nf/6H/v37t8In8Awdo9sweXBHVu3M5PiFInYcu8iwtBijY4mIG6musfD2WvuqhG0CfZgzTst6G+GxiV05nXWVkvIaFq85xQv/NIhAfx+jY4k0msmmrr5WdenStWZ/TW9vM+HhQRQXl7vFzQA1tRb+8297KCiuJMjfmxf+aTAhQbe/8dNR7tZeLU3t5Ri1l2OMaK8PNpzli732mwmfnNGTgd2jW+V9m4O7HV+Hz13mlY/s9yuN7hvLd+/t2qyv727t1ZLUVjdq14hpLj1iOIe4Fl8fL743uRsA5VV1vLf+jMGJRMRdnM8r5ct99gK6T+dI7ukWZXAiz9a7c2TDsI7NB3M5l9u4ma5EnIGKaHFKXTuGM7qPfdGVPScLOaTxciLSRHUWK4vXnMRmA39fLx6bmKLZOJzAd8Z1IdDPPrr07bWnqNMcxeIiVESL03pwdGfCgu3DOJasO61pkESkSdbsyiTnkn2GpYdGd2rRRZ2k8UKD/XhwjH2xstxL5azbk2VwIpHGUREtTivQ35u59ePjiq9V89Hm9DvsISJya3mXy/l8RwYAKXGhjOoba2wgucHI3h3oHBsKwIrtGRQWVxicSOTOVESLU+vbpR0D6scsbjqYy7kcjZcTEcfYbLb6YQI2vL3MPD65W4uviCqOMZtMfHdSV7zMJmrrrCz54oymOBWnpyJanN6jE1Iaxsst/fJ0iy2bLiLuaefxi5yt/wE+fVgiMW2DDE4ktxLXLrhh5drjF4rYfaLA4EQi305FtDi90CBfZo1MBiCroIwth3INTiQirqKiqo7lm+xDwaIjApk0sKPBieTbTB+aSLsw+1j1Dzacpayy1uBEIrenIlpcwui+HYiPsi8J/snW81yrqDE4kYi4ghXbL1Babj9fPDq+Cz7e+tpzZr4+Xnz3XvsUp6UVtXy8RffCiPPS2URcgpfZzKMTUgD73NEfbzlvcCIRcXY5l8pYvy8HgH4p7UhNbmtwImmMnkkRDO5hXwBn66E8Mi82/yJlIs1BRbS4jJT4MIb0bA/AtsN5XMgvNTiRiDgrm83Ge1+ewWqz4eNtZs7YzkZHEgc8NKYzfj5e2IB31+smQ3FOKqLFpTw0phP+vvYT69Iv7F+QIiL/aM/JQk5lXQVg6pAEIsMCjA0kDglv48e0oQkAnMspYfdJ3WQozkdFtLiUsGA/Zg5PAuBCfilfHck3OJGIOJuqmjqWbTwLQLswfyYP0s2ErmjiPfENNxl+uCmd6hqLwYlEbqQiWlzO2P5xxEbap6j6aHO67t4WkRt8vj2Dq2X2mwm/Mz4FH28vgxPJ3fDx9mLO2C6AfcGtVbsyDU4kciMV0eJyvL3MPFJ/k2FZZS1/36abDEXELv9KOV/szQagV6e29OkcaXAiaYo+XSLpmRgOwNrdWVy6WmlwIpGvqYgWl9Q9IZyB3e0rGW4+mEvupTKDE4mIM1i28RwWqw1vLxOPjO9idBxpIpPJxJzxKZhNJuosVpZvPGd0JJEGKqLFZc0e0xkfbzM2Gw2LKYiI5zqeUcSR9CsA3DuwI1HhgQYnkuYQGxnE2P6xAOw/c4mTGUUGJxKxUxEtLisixJ+J98QDcPT8FY5f0IlVxFNZrTaWbbD3UoYE+jBlcILBiaQ5zRyeRHCADwDvbTiLxWo1OJGIimhxcVMGJxASaD+xLtt4FqtVU96JeKLtR/PJqR/WNWNEMgF+3gYnkuYU6O/DA6OSAci9VM7WQ3kGJxJRES0uLsDPm5kj7CfWnEvlfHVUU96JeJqqmjo+qb/BuENkECN7xxicSFrCiF4d6BgVDMBnX12gsrrO4ETi6VREi8sb0TuGDvVT3v1963mqanRiFfEka3dnUVI/pd3sMZ3xMuurzR2ZzSYeGmNfebK0opZ1e7IMTiSeTmcacXleZjOz60+sJeU1rN2tE6uIpyi+Vs3a+mKqZ2I4ackRBieSltQzKYLUJPv/x2v3ZFF8rdrgROLJVESLW0hLjrhhLlGdWEU8w9+3nqem1ooJmD22CyaTyehI0sIeHN0JE1BTa+Wzry4YHUc8mIpocQsmk8n+BQrU1Fn5+1YtwCLi7rIKrrG9/j6I4b1iiK8fLyvurWN0G4amtgdg25E8rRMghlERLW4jPiqY4b3sNxRtP5pPVsE1gxOJSEux2Wws23gOG+Dn48WskclGR5JWNGtkcsM6AR9t1joBYgwV0eJWZo1Mxs/HCxvw4SatbCXiro5dKOJkZjEAkwd1JCzYz+BE0poiQvyZMMC+TsDh9Cucqj8WRFqTimhxK2HBftw70H5iPZ5R3PAlKyLuw2qz8XF972NosC/3DuxocCIxwpTBCQ0LsCzfdA6rTesESOtSES1u596BHRtOrB9vScemE6uIW9l7spCsQvs42PuGJeHn62VwIjFCoL8304clApBx8Rp7TxYaG0g8jopocTsBft5MG5oIwPm8Ug6evWxsIBFpNnUWK3+vX1glKiyAEb20sIonG9M3lqiwAMDeaVJbp+XApfWoiBa3NKZvByJC7GMkP9l6XsuBi7iJr47kU1hcCcDMkUl4e+lrzJN5e5m5v3458MslVWw9rOXApfXo7CNuycfbixnDkwDIu1zOzuMXDU4kIk1VXWvhs+32eYHjo4IZ2D3a4ETiDAZ0iyIhug0AK3dkUF1rMTiReAoV0eK2hqa2J6ZtIACfbjuvy3wiLm7D/pyG5b0fGNUJsxZWEcBsMjX0RpeU17Bxf47BicRTqIgWt+VlNnN//dyxV0qr2Xww1+BEInK3yqtqWb0zE4CUuFAt7y03SE2KoEtcKACrd2VSUVVncCLxBCqixa31S2lHUkz9Zb6dGVRW68Qq4orW7s6iov7v94HRnbS8t9zAZDLxwKhOAJRX1bFuT5bBicQTqIgWt/bNE+u1ilq+3JttcCIRcdTVsuqGv93endrSJS7M2EDilFLiw0itv0Lxxb5sSitqDE4k7k5FtLi9HokR9EgMB2Dtniyu6cQq4lI+35FBTZ0VE3B//Y9ikVu5PoSvusbSMPxHpKWoiBaPcL03uqrGwiqdWEVcxuWrlWw9ZJ+2bHDPaOKjgg1OJM4ssX0I/bu2A2DjgVyKSqsMTiTuTEW0eISkmBD6pdhPrOv3ZlN8TSdWEVewYkcGFqsNs8nUMG2lyLeZOSIZk8m+MM9nX10wOo64MRXR4jGufwHX1Fn5eOM5g9OIyJ0UFFew46h9jvfhvdoTFR5ocCJxBbGRQQzt2R6ArYfyyLtcZnAicVcqosVjxEcFM6BbFABrdlyg+Fq1wYlE5Nt8vj0Dq82Gl9nEtCGJRscRF3Lf8CS8zCYsVhvvrzttdBxxUyqixaPMGJaICXtv9OfbdZlPxFnlX/l6pdERvTsQGRZgcCJxJe3CAhjZuwMAWw/mkHe53OBE4o5URItHiW0XzOD6y3ybD+qmExFntWJ7BjYbeHuZmDYkweg44oKmDknA28uE1WZftVakuamIFo8zc2QSZhPUWWys1EwdIk4n91IZe04UADCqTywRIf4GJxJXFBHiz+i+sQDsPl5ArnqjpZmpiBaPE9M2iNH94wHYdjiPy1crDU4kIt/02fYMbICPt5kpg9ULLXdv+rAkfLzN2EBD+KTZqYgWjzRnQlfMJvtNJ5/vyDA6jojUyyq4xr5ThQCM6RtLeBs/gxOJKwtv48ek+ptS954sJPeSZuqQ5qMiWjxSTGQQI3rHALD96EUKiysMTiQiQMO8vr4+ZiarF1qawQNjOjf0Rq/YnmF0HHEjKqLFY12fAslqs/G5Tqwihsu4WMrBs5cBGNcvjtAgX4MTiTtoGxrAmH72sdH7ThWSo95oaSYqosVjtQsLYEQve2/0juMXKShSb7SIkVZ8lQGAn68XkwZ1NDaMuJVpQxLVGy3NTkW0eLRpQxPxMpuw2WDlzgyj44h4rIyLpRw6Z++FHt8/jjaB6oWW5hPWxo8xfb/RG12o3mhpOhXR4tEiQvwbeqN3HiugUDN1iBjis232sdB+Pl5MvCfe4DTijiYP6oivt73s+UwzdUgzUBEtHm/K4ISGsdGrNFOHSKu7kFfC/tOXABjbL1a90NIiQoP9GuaN3n/6ElkF1wxOJK5ORbR4vMiwAIam2lcx3HHsouaNFmlly748A9hn5Lh3oMZCS8uZPDgBXx976bNSnSbSRB5TRFutVhYvXsykSZNIS0tj1KhRLFy4kIoKx28mq6ysZNy4cXTt2pXf/va3LZBWWtvUoYkN80av3qVVDEVaS05hGduP5AH2eaFDNCOHtKDQIF9G9/m6N1rzRktTeEwRvWDBAl588UU6d+7M/PnzmTRpEkuWLOHJJ5/EarU69FqvvvoqRUVFLZRUjBAVFsCQ1GgAth3Jp6i0yuBEIp7h+rzQPt5mJqkXWlrBpEEd8fayz9Sxcqc6TeTueUQRffbsWZYuXcrEiRN57bXXmD17Nr/+9a955pln2L17N6tWrWr0ax0/fpy3336befPmtWBiMcK0IYmYTGCx2lil3miRFpd3uZw9JwoAGNMvltBgrU4oLS8s2I9RfToAsOdkARc1vancJY8ooleuXInNZuPxxx+/Yfvs2bMJCAhgxYoVjXodi8XC/PnzGTFiBBMmTGiJqGKg6IhABveo740+nEfxtWqDE4m4t5U7MrBh74WeWr80s0hrmDyoI95e9ulNdUO53C2PKKKPHTuG2WymV69eN2z38/OjW7duHD16tFGvs3jxYs6fP8/8+fNbIqY4gWlDEzEBdRYba9QbLdJi8q+Us/ukvRf63kEJhLdRL7S0nogQf4an1U9velzTm8rd8TY6QGsoLCwkPDwcX9+bb1iJjo7m4MGD1NTU3PLx67Kzs1m0aBE//vGPiYuLIycn566ymM0mzGbTXe17O15e5hv+Ld/u29orProNg3pGs+t4AVsO53Hf8CTCPPzLXceXY9RejbN6VxY2G3h7mXhgbBfUXI2j48sx39Ze04cnse1IPharvdPkB9N6tHY8p6Jjy3EeUURXVlbetkD287MXSFVVVd9aRP/mN78hPj6e73//+03KEhERhMnUvEX0dSEhAS3yuu7qdu312JQe7D5RQG2dlQ0H8/jhjNRWTuacdHw5Ru11e3mXy9h5/CIAEwYlEBmmtnKUji/H3Kq9wsODGDsgni/3ZLH9aD7fndaTqPBAA9I5Fx1bjecRRXRAQABXrly55WPV1fZxr/7+/rfd/7PPPmP79u0sXboUHx+fJmUpKipvkZ7okJAASksrsVgcm2nEE92pvUL8vLinWxR7ThayZscFJvT37Gm3dHw5Ru11Z++tOYnVasPLbOLe+tUJ1V6No+PLMXdqr4kD4li/N4s6i4331pzk8cndDEjpHHRs3Sg8POiOz/GIIjoqKopz587dcshGQUHBbYd6ANTU1LBw4UJGjRpFu3btyMzMbNgP4Nq1a2RmZhIeHk5ISMgds1itNqxWWxM/0a1ZLFbq6nTgN9a3tdeUwQnsOVlITZ2VNbsyeWBUp1ZO53x0fDlG7XVrV0qq+OpIPgBDU9sTUT9cSu3lGLWXY27XXm1D/BncI5qdxwvYciiXKYM1Pl/HVuM53cCXc+fOsWDBAubMmcO9997L73//+4bHDhw4wDvvvMPVq1cdes3U1FSsVitHjhy5YXt1dTWnTp0iNfX2l+urqqooKipi8+bNTJw4seGfuXPnArBixQomTpzIhx9+6FAmcW4do9vQp3MkABv251BeVWtwIhH3sHZ3FharDZMJpgxJMDqOyI03lO/WDeXSeE7VE/3WW2/xhz/8gbq6OgBMJhPFxcU3POfFF1/E19eXOXPmNPp1p0yZwhtvvMHbb7/NgAEDGrYvX76cyspKpk+f3rAtKyuL2tpaOnWy9zwGBATwyiuv3PSaRUVFPP/884wYMYIHH3yQrl27OvRZxflNHZrAoXOXqaqxsGF/DvcNSzI6kohLKymrZsth++qEg7pHE63xp+IEYtoGcU93+xC+LYfymDokkVAPHsInjec0RfTmzZt56aWXiIuL45lnnqFfv34MHTr0huf069ePiIgINmzY4FAR3bVrVx599FGWLl3KU089xahRo0hPT2fJkiUMHDjwhiL6e9/7Hrm5uZw+fRoAHx8fJk2adNNrXp+do2PHjrd8XFxfpw6h9EgM50RGMV/uzWbiPfH4+zrNn4yIy1m3N5u6+rGWU9ULLU5k2pBE9pwspLbOyhd7snhoTGejI4kLcJqK4K233iIgIIC33nqL+Pj42z6vW7duXLhwweHXf/bZZ4mNjWXZsmVs3ryZ8PBwHnvsMebNm4fZ7HSjWsRJTBuSyImMYsqr6th8MI9Jg7QsscjdKKusZdOBXAD6p7Qjtl2wwYlEvhYXFUzfLpEcPHuZjQdzmTw4geCApk0kIO7PaYro48eP06dPn28toAHCw8PZv3+/w6/v5eXFE088wRNPPPGtz9u4cWOjXi8uLq6ht1rcV9eOYXSOC+VcTglr92Qxtl8svj5eRscScTlf7s2mutYC2IdKiTibaUMTOXj2MtU1Fjbuz+G+4RrCJ9/Oabpga2trCQq683QiRUVFeHmpiJHWYTKZmD40EYDS8hq21c8qICKNV1FVx4b99iFwacltSWx/55mMRFpbUkwIPRPDAfhyXzZVNXUGJxJn5zRFdFxcHKdOnfrW59TU1HD69GkSExNbJ5QIkJoUQUL7NgCs2Z3ZMKZTRBpn08EcKqrtBcn1H6Uizmha/fF5fQifyLdxmiJ67Nix5Obm8tZbb932OW+++SZFRUVMnDixFZOJpzOZTEwbkghAUWk1O49dNDaQiAuprrGwbk82AN3qh0eJOKuU+K+P0XV7sqitsxicSJyZ0xTRP/zhD4mOjub3v/89P/3pT1m1ahUAV65c4csvv+SXv/wlixYtIi4ujkcffdTgtOJp+qZEEhtpH260alcmFqt6o0UaY8vhPMoq7fOsT1MvtDi5b3aalGgIn9yB0xTRoaGhvPXWW3Tu3Jm1a9fyb//2bwBs27aNefPmsWLFCjp16sSbb75JcLDu6pbWZTaZGqbkKiyuZO/JQoMTiTi/2jora+sXr+jUIYTuCeEGJxK5s7TkCBKi64fw7crSED65LaeZnQMgKSmJzz77jI0bN7J9+3Zyc3OxWq20b9+eoUOHcu+99+qmQjHMPd2j+PSrCxQWV7JqVyYDe0RjNpmMjiXitLYfy+dqWQ0AU4cmYtLfi7gAU32nyV8+PcaV0ip2HS9geK8Yo2OJE3KqIhrAbDYzfvx4xo8fb3QUkRt4mc1MGZzA4jWnyL1UzuFzl+nbpZ3RsUScksVqZc0uey90XLtgendqa3Aikcbr17UdMW0Dyb9SwapdmQxNbY/ZrB+BciOnGc4h4gqG9GxPeBs/AFbuyMRmsxmcSMQ57T1ZyKWrVQBMG5qgXmhxKd8cwldQVMG+0xrCJzdzmp7ovXv3OvT8e+65p4WSiNyej7eZewd25IMNZ7mQX8qpzGK6J0YYHUvEqVhtNlbV90JHhQcwoGuUwYlEHDeoRzSfbrvA5ZIqVu7I5J5uUfoxKDdwmiJ67ty5Dh2cJ0+ebME0Irc3qncHVu7IoKyylpU7M1VEi/yDw2cvk3upHIApgxN0GVxckpfZzJQhCbyz9jQ5l8o4kn6F3p0jjY4lTsRpiuiZM2fesoi2Wq3k5+dz4sQJysrKGDduHCEhWu1KjOPn68WEAXH8fdsFTmYWk55XQqcOmvtWBMBms7Fyp70XOryNH0NT2xucSOTuDUuN4bOvLlBSVsPKnRn06tRWvdHSwGmK6IULF37r4yUlJcyfP58zZ86wbNmyVkolcmvj+sexZncWVTUWVu3IZN6DvYyOJOIUTmYWcyG/FIBJAzvi7aVbb8R1+XibmTSwI8s2niM9t5Qz2Vfp2lFTNYqdy5zdQkNDeemllygrK+MPf/iD0XHEwwX6+zC2XxwAh85dJqewzOBEIs5hVX0vdHCADyN7dzA4jUjTjerTgSB/e5/j9eNbBFyoiAYICAggLS2NjRs3Gh1FhAn3xOPjbf8TWr1LJ1aR9NwSTmYWA/a/Dz9fzesvrs/f15vxA+IBOHahiIyLpQYnEmfhUkU0QEVFBaWlOoDFeKFBvozsZe9p232ygMLiCoMTiRjrei9dgJ8X4/rFGpxGpPmM6x+Hn4/9R6F6o+U6lyqiN27cyL59+0hMTDQ6iggAkwZ1xMtswmaDNbuzjI4jYpicwjIOnbsMwNh+cQT6+xicSKT5BAf4MKav/YfhgdOXyLtcbnAicQZOc2Phr3/969s+VlFRQUZGBmfOnMFms/HEE0+0YjKR22sb6s+Qnu356mg+24/mc9+wpIbFWEQ8yfV5oX28zUyov/Qt4k4mDoxn/f5s6iw21uzK5AfTehgdSQzmNEX03//+9zs+p0OHDvzkJz9h5syZLR9IpJEmD+7I9qP51FlsrNuTxZxxXYyOJNKqCoor2HOyAICRvToQEuRrcCKR5hcW7MfwXh3YfDCXnccLmDE8iciwAKNjiYGcpoh+5513bvuYj48P7dq1Iy4urhUTiTROTNsg+neLYt+pQjYfymXa0ESCA3QpWzzHml1Z2GzgZTYxaVBHo+OItJhJgzqy9VAeVpuNtXuyeGxiV6MjiYGcpogeOHCg0RFE7trUwQnsO1VITa2V9fuymTki2ehIIq2i+Fo1O47lAzCkZ3vahvobnEik5USFBTCoRxQ7jxew9XA+04cmEhqsIXyeyqVuLBRxVgnt25CabF/+e/2+HCqr6wxOJNI61u3Jos5iw4R9aJOIu5syOAGAOouVL/ZmG5xGjKQiWqSZTBuSCEBFdR2bD+UaG0akFZRV1jYc6/27tiOmbZDBiURaXmy7YPp2iQRg08FcyqtqDU4kRjFsOEf37t3vel+TycSJEyeaMY1I06XEh9ElLpSzOSWs25PN+P5x+HhrsQlxX+v3ZVNTawVgav2PSBFPMHVIIgfPXqaqxsLG/TlMH5ZkdCQxgGFFdExMjFFvLdJipg5J5OUPD1NaXsNXR/IZ0083w4p7qqyuY/2+HABSkyNIaN/G4EQirSe5Qwg9EsM5kVHMl/tymHhPR63Q6YEMK6K1dLe4o7TkCDpGBZNVWMaa3VmM7NMBL7NGTYn72Xwol4r6sf/T1AstHmjq4AROZBRTVlnLlsN5TLxH86N7Gn27izQjk8nE1KGJAFwuqWLPiUJjA4m0gNo6C1/ssd9Q1SUulJT4MGMDiRigW0I4yR1CAPsNtrV1VoMTSWtTES3SzPqntCM6IhCwr+JmtdkMTiTSvL46epGS8hpAY6HFc5lMJqYOsc/UUXytmp3HLxqcSFqb08wT/U1lZWVkZ2dTXl6O7TYFyD333NPKqUQax2w2MWVQR95ac4q8y+UcOnuZfintjI4l0iwsVitr6pf47hgVTFr91I4inqh350hi2wWRe6mc1bsyGZ4Wg9lsMjqWtBKnKqLPnDnDggUL2LNnz22L5+tOnjzZSqlEHDcktT2ffnWB4mvVrNqZQd8ukZhMOrGK69tzopDLJVUATBmSoONaPJrZZGLq4AT+9/MTFBZXsu90IQO7RxsdS1qJ0wznyMjI4JFHHmHXrl306dOnYYnvKVOm0KtXL7y87He9jh07lpkzZxqYVOTOvL3MDcsfX8i/xomMYoMTiTSd1WZjVX0vdHR4AAO6RhmcSMR493SPol2YfaXOlTsy79gJKO7DaYro119/nfLycl588UXee+89BgwYAMAf/vAHli1bxqpVq+jfvz/nzp3jmWeeMTityJ2N7N2BNoE+AKzamWFsGJFmcPDMZfIulwP2XmhdthYBL7OZyfWrGOZcKuNI+hWDE0lrcZoieteuXXTq1IlZs2bd8vGEhAT+8pe/UFxczCuvvNLK6UQc5+fj1TDl0amsq5zLKTE4kcjds9lsrKz/MRgR4seQnu2NDSTiRIalxhAa7AvAyp0Z6o32EE5TRF+5coVOnTo1/Le3t324dnV1dcO2kJAQBg4cyObNm1s7nshdGdM3jgA/+7G8Ur3R4sKOZxSRefEaAJMHJeDt5TRfHyKG8/E2M2mgfQhfem4pp7OuGhtIWoXTnAXDwsKoqalp+O/Q0FAAcnNzb3rulSu6VCKuIdDfm3H9YwE4kn6FrIJrBicSuTsrd9jHQocE+jCil1acFflHo/p0IMhfnSaexGmK6Li4OPLy8hr+u3v37thsNlavXt2wraioiD179mjJcHEpEwbE4+tj/1NbtTPT4DQijjuTfZUz2VcBmDiwI74+Wt5Y5B/5+3ozoX4I34mMYs7nlRqcSFqa0xTRw4YN4+zZsw09z2PGjCE8PJy//OUv/Ou//isLFy7kwQcf5Nq1a0yePNngtCKN1ybQl1G97b3R+04VcrGowuBEIo5ZXT8jR6CfN2P6xhqcRsR5jesfh7+v/Ufmyh0ZxoaRFuc0RfSMGTP4wQ9+0DBUIzAwkD/+8Y+0adOGNWvWsHjxYvLy8hg6dCj/8i//YnBaEcdMGtQRL7MJG7BavdHiQjIvXmuYbWBc/6/H+IvIzYL8fRjbzz5F76Fzl8kpLDM4kbQkpzkbduzYkZ///Oc3bBsyZAibNm1i3759lJaWkpiYSGpqqkEJRe5eeBs/hqXFsPVwHjuPX2TG8CTahvobHUvkjq7PC+3rY2b8gDiD04g4v4n3xLN+XzY1dVZW7szgyRmqW9yV0/REv/TSS5w6deqm7YGBgYwcOZJp06apgBaXNmVwR0wmsFhtrN2dZXQckTvKv1LO/lOFAIzuE0ubQF+DE4k4v5AgX0b27gDA3lOFFGgIn9tymiL6rbfeYtasWUydOpU33njjlrNyiLiyqPBABtUvB7v1SB4l5TV32EPEWKt3ZWIDvL1M3Fs/fZeI3FnDED7b11dzxP04TRH97//+76SlpZGens6f/vQnxo8fz6OPPsoHH3xASYkWqRD3MGWIfVWr2jorX+xRb7Q4r8sllew6XgDA8LQYwtv4GZxIxHVEhPgzLM2+INHOYxe5UlJlcCJpCU5TRM+dO5fly5fz5Zdf8tRTT9GxY0f279/P888/z/Dhw/nxj3/MmjVrbphLWsTVxLULpm+XSAA2HsylrLLW4EQit7Z6VxYWqw2zycSk+iWNRaTxJg9O0BA+N+c0RfR18fHxPPXUU6xbt46PPvqIuXPnEhoaysaNG/nZz37G0KFD+fWvf210TJG7Nn1YIgDVNRbW78s2NozILRRfq+arI/Z5+wf3jCYqLMDgRCKuJ/ofh/CVVd9hD3E1TldEf1NqairPPvssW7du5W9/+xtTpkyhrKyMTz/91OhoInctsX0IacltAVi/L4eKqjqDE4ncaO3uLOosNkzA1CHqhRa5W98cwrdurzpN3I1TF9HX7d27lzVr1vDVV18ZHUWkWUwfmghARXUdGw/kGBtG5BtKy2vYcsh+Y/c93aOIaRtkcCIR1/XNIXybDmgIn7txmnmi/9HJkydZsWIFq1evprCwEJvNRlBQEDNnzmT69OlGxxNpks5xoXRPCOdkZjFf7M1mwoB4/Hy1lLIYb93eLGrqrABMG5JobBgRNzB9WCIHz16mutbCF3uzuX9kstGRpJk4VRGdnZ3NypUrWblyJefPn8dms+Ht7c2oUaO47777GDduHH5+ukNc3MO0oYmczCymrLKWTQdzmTRIU4iJscoqa9l4wN4L3bdLJHFRwQYnEnF914fwHT1/hQ37s5k0MJ5Afx+jY0kzcJoi+uGHH+bIkSPYbDYA+vbty/Tp05kyZQphYWHGhhNpAd06htE5NpRzuSWs25PF2H6x+PqoN1qMs35fNtU1FuDrG2BFpOmmD0vk6PkrVFZbWL8/h/uGJRkdSZqB04yJPnz4MElJSTz99NOsX7+e999/n0ceeUQFtLgtk8nUUKiUlNew7Ui+sYHEo1VU1fHlPvv4/LTktiS2DzE4kYj76BxrH8IH8OXebCqrdUO5O3CanuhPPvmEHj16GB1DpFWlJkWQ2L4NGRevsXpXJqP6dMDby2l+24oH2Xggp+GL/fqNryLSfO4bZh/CV15lv6F8qu45cHlO822tAlo8kclkaihYiq9Vs/2oeqOl9VXV1PFF/fRb3RPC6RwXanAiEffTtWM4KfFhAKzb8/XQKXFdTlNEtzSr1crixYuZNGkSaWlpjBo1ioULF1JRUXHHfS9cuMArr7zC7NmzGTx4MH379mXGjBm8/vrrjdpf5Nv07hJJXDv7NGKrdmZisVoNTiSeZvPBvIapt6apF1qkxVwfwldWWcvm+qkkxXV5TBG9YMECXnzxRTp37sz8+fOZNGkSS5Ys4cknn8R6h6Ll448/ZvHixcTHx/OTn/yEX/7ylyQlJfHyyy8zZ84cqqqqWulTiDsym0wNhcvlkip2HS8wNpB4lOpaC2v32Jck7hwbSreOYcYGEnFjPRLC6dTBfr/B2t1Z1NSqN9qVOc2Y6JZ09uxZli5dysSJE1m0aFHD9ri4OH73u9+xatWqb517+t577+VHP/oRbdq0adj2ne98h4SEBP7617/y0Ucf8dhjj7XoZxD3NqBrFDFtL5B/pYLPt2cwuGc0XmaP+Y0rBtpyKI/S8hrAPmbTZDIZnEjEfdlvKE/i5Q8PU1Jew9bDeYwfEG90LLlLHvEtvXLlSmw2G48//vgN22fPnk1AQAArVqz41v3T0tJuKKCvmzJlCgBnzpxpvrDikczmr2fqKLxaqd5oaRU1tRbW7MoEILlDCD2TIgxOJOL+0pLtN5QDrNmdRW2dhvC5Ko/oiT527Bhms5levXrdsN3Pz49u3bpx9OjRu3rdixcvAhAZGdnofcxmE2Zz8/b0eNXP5uClWR0axVnba2hqDJ9vzyD/SgUrd2QwvHeMU/RGO2t7OStXaq8NB3Ioqe+Fvn9UMj4GzFPuSu3lDNRejnHW9poxIolXPjxC8bVqdh6/yNj+cUZHctq2cmYeUUQXFhYSHh6Or6/vTY9FR0dz8OBBampqbvn47VgsFl5//XW8vb2ZNm1ao/eLiAhqsculISEBLfK67soZ2+uRSd35w7v7KSiu5MiFq4x1ost8zthezszZ26u61sLqnfZe6JSOYYzs39HQoRzO3l7ORu3lGGdrr3GDElmxPYMLeaWs2pXJfaO74OPtHMWrs7WVM/OIIrqysvK2BfL1ZcSrqqocKqIXLFjAwYMH+dnPfkZycnKj9ysqKm+RnuiQkABKSyuxWHRZ6E6cub3SEsKIaRtI/pUK3lt3il5JYYb3RjtzezkjV2mvL/ZkUXytGrDPC331qjEzDblKezkLtZdjnLm9pg1NZNFHR7hUXMmKzWcN74125rYyQnh40B2f4xFFdEBAAFeuXLnlY9XV9i8Rf3//Rr/eyy+/zNKlS3n44Yf50Y9+5FAWq9WG1WpzaJ/Gslis1GlsVaM5a3tNG5rI//v8BAVFFew4cpEhqe2NjgQ4b3s5K2dur9o6C5/vyAAgKaYNPRLCDc/qzO3ljNRejnHG9urdqS3xUcFkF5bx2VcXGNKzvVP0RjtjWzkr4//fagVRUVEUFxdTU1Nz02MFBQW3HepxK4sWLeL111/n/vvv5/nnn2/uqCIM6h5NdEQgACt2ZLTYjy7xXFsO5VFSZj8fzhiepBk5RAxgNpmYMTwJsC+2te1InsGJxFEeUUSnpqZitVo5cuTIDdurq6s5deoUqampjXqdRYsW8dprrzFr1ixeeOEFffFIizCbTdxXP290QVEFu09qpg5pPrV1FlbXz8iR2L4NacltDU4k4rn6domkY3QwYF9sSzN1uBaPKKKnTJmCyWTi7bffvmH78uXLqaysvGGO6KysLNLT0296jddee43XXnuNGTNmsGDBAsxOMGuCuK+BPaKIDrff3PH5dvVGS/PZejifq/W90PepF1rEUKZ/6I3eeli90a7EI8ZEd+3alUcffZSlS5fy1FNPMWrUKNLT01myZAkDBw68oYj+3ve+R25uLqdPn27Y9u6777Jo0SI6dOjA0KFD+fzzz294/cjISIYNG9Zqn0fcn5fZzPRhiby58iQXiyrYc7KAwT2dY2y0uK7aOgurdmYAkNC+Db07qRdaxGh9OkeSEN2GzIJrrNqZwcjeMfh4t/50k+I4jyiiAZ599lliY2NZtmwZmzdvJjw8nMcee4x58+bdsVf5+jzSeXl5/OpXv7rp8YEDB6qIlmY3qEc0K7ZnUFhcyYrtGdzTPcrwmTrEtX2zF3rGMPVCiziD673Rr358hKtlNWw5pFUMXYXJZrPpOnErunTpWrO/pre3mfDwIIqLy3VHbSO4UnttP5rP/606CcAPpnZnWFpMq2dwpfZyBs7aXtW1Fp75605KymtIiG7Dc98b4BRFtLO2l7NSeznGVdrLZrPxX2/vI+PiNUKDfXnpR0PwbeXFj1ylrVpLu3Y3r1T9j9StJeLEhvRsT0xb+0wdn311gTrN3Sl3adOB3IbVCWeNTHaKAlpE7L45NrqkvjdanJ+KaBEnZjZ/fWK9XFLFV0fzDU4krqiyuq5hRo5OsSGkJUcYnEhE/lGvTm1JigkBYPWuTGpqLQYnkjtRES3i5AZ0iyKunX0KpM+3Z1BbpxOrOGb9/hzKKmsBuH+EeqFFnNENvdHlNWw8kGtwIrkTFdEiTs5sMjFr5NdTIG3WZT5xQEVVLet2ZwHQrWMY3RPVCy3irNKSI+jU4eve6MrqOoMTybdRES3iAvp0jiQpxn6Tw6qdmVTXqDdaGmfdnmwq6r+IZ41MNjiNiHwbk8nE/aM6AVBWWcuX+7INTiTfRkW0iAswmUzMGmEvgErLa9h4IMfgROIKrlXU8EX9l3Baclu6xIUZG0hE7qh7Qjg9EsMBWLcnq2EoljgfFdEiLqJnUgRd4kIBWLM7S5f55I7W7M5quGpxfUiQiDi/+0fae6Mrqy2sqb8pWJyPimgRF2Eymbi//nK8LvPJnVwtq2bjfvsVi75dIklsH2JwIhFprOQOIfTtEgnAhv05XC2rNjiR3IqKaBEX0rWjLvNJ46zamUlNnRUTNAwFEhHXMWtEMiagps7Kyh0ZRseRW1ARLeJirhdEldUW1tbPuiDyTVdKqthyyD491j3do4iLCjY4kYg4Ki4qmEE9owHYciiPy1crDU4k/0hFtIiL6RQbSu9ObQFYvy+b4mu6zCc3+nTbeeosNkwmGuadFRHXM2N4EmaTCYvVxmfbLxgdR/6BimgRF/TA6E4Nl/k++0onVvlaTmEZO45dBGBErw7EtA0yOJGI3K3o8EBG9I4BYMexi+RdLjc4kXyTimgRFxTXLpihae0B2HYkj/wrOrGK3cdb0rEBvt5m9UKLuIHpQxPx9jJjs9mvMonzUBEt4qJmDk9uOLF+vEUnVoHTWcUcTr8CwIR74glv42dwIhFpqogQf8b2iwVg3+lLXMgvNTiRXKciWsRFtQ31Z3z/OAAOnLlEem6JwYnESDabjY82pwMQ5O/N5EEdDU4kIs1l6pAEAvy8AFi+8Rw2m83gRAIqokVc2pQhCQT4eQPw4SadWD3ZgTOXSc+z91BNG5pIoL+PwYlEpLm0CfRlyuAEAE5nX+XwuSsGJxJQES3i0oIDfJgy2N7jeCanhCPpOrF6IovVysdb7L3QbUP8Gi79ioj7mDDg6yFaH24+h8VqNTiRqIgWcXHjB8QTFuwLwEdb0rFa1Rvtab46ks/FogoAZo5Ixsfby+BEItLcfH28GtYJyL9SwbYj+QYnEhXRIi7Oz8eLmfUn1txL5ew8ftHgRNKaqmstfFo/zWFcuyCG9GxvcCIRaSlDU9sT186+eNJn2y5QVVNncCLPpiJaxA0MS2tPTNtAAP6+7Ty1dRaDE0lrWb8vm5KyGgAeHN0Js9lkcCIRaSlms4nZYzoBUFJew7o92QYn8mwqokXcgJfZzAOj7CfWotJqvtyXY3AiaQ2l5TWs3pUJQNf4MNKS2xqcSERaWs+kCHokhgOwdncWJWVatdYoKqJF3ETfLpGkxIUCsHJHhk6sHuDTbeeprLZfdXhoTGdMJvVCi7g7k8nEQ6M7Y8I+nEur1hpHRbSImzCZTMwZ3wUTUFVj4e9a2cqtZReWseVwHgBDerYnuUOIwYlEpLUktG/D4Pr7H7Yeztdy4AZRES3iRhLbhzAsLQaAbYfzySq4ZnAiaQk2m40PNpzFZgNfHzMPjEo2OpKItLJZI5Pw9jJjtdn4cNM5o+N4JBXRIm7m/lHJ+Pl4YQPeX39WC7C4oUPnLnMysxiAKYMSiAjxNziRiLS2yNAAJtxjX7X2cPoVjp7XOgGtTUW0iJsJC/ZjypCvV7Y6cOaywYmkOdVZrCzbaO91Cm/jx71a3lvEY00bkkhIkH2dgA82nKXOogVYWpOKaBE3dO898bQNsa9stXzTWWrrdGJ1Fxv251BYXAnAQ6M74eejhVVEPFWAnzcP1s/MlH+lgo37NTNTa1IRLeKGfH28eGhMZwAuXa1i/X7NJeoOSitqWLE9A4BOHUIY1CPa2EAiYrihae1JirHfWPzZ9guUltcYnMhzqIgWcVP3dIuic6x9yrvPt2dQohOry/ts2wUqq+0rlM0Z10VT2okIZpOJRyZ0AaCy2sInW9MNTuQ5VESLuCmTycR3xttPrFU1Fv6+VVPeubKcS2VsPpQLwOCe0XSq/4EkItKpQyhDU+1T3m07nE/GxVKDE3kGFdEibiwpJuQbJ9Y8LuTrxOqKbDYb7315xj6lnbe5YQykiMh1D47uhJ+vfWam9zQzU6tQES3i5h4Y1Qn/+hPrO+tOY7XqxOpqdh0v4FTWVQCmDNaUdiJys7BgP6YPTQTgXE4Ju08UGBvIA6iIFnFz4W38mDXCvhhH5sVrDUMCxDVUVNWybONZAKLDA5g8WFPaicitTRgQT1R4AAAfbk6nusZicCL3piJaxAOM7R9Lx6hgAD7ecp6SsmqDE0ljfbL1PKUVtQA8OjEFH29NaScit+bjbWbOWPu9MMXXqlmx/YLBidybimgRD+BlNjP33q4AVFbXsVxLxLqEC/mlbDpgv3JwT7coUpPaGpxIRJxd785t6dXJfq5Ytyeb7MIygxO5LxXRIh6iU2woI3t3AGDn8QJO1S8bLc7JarWxZN1pbICfrxdzxnUxOpKIuACTycRjE1Lw9TFjtdl4e+0p3QvTQlREi3iQB0d3IjjAB4AlX5zWErFObMuhXDIuXgNg1ohkwtv4GZxIRFxFZFgAM4fb74U5n1eqe2FaiIpoEQ8SHODDQ2O+XiJ23Z4sgxPJrZSU1/DRFvu83nHtghnXP9bgRCLiasYPiCO+4V6YdIqv6V6Y5qYiWsTDDEuLoXPc1ysZXi6pNDiR/KPlG881rEz43Xu74mXWqVpEHOPtZebxSd0wYV/J8P31Z4yO5HZ0ZhbxMGaTibkTu2I2maips7Jk3RlNyu9ETmQUsfP4RQBG9Pr6B4+IiKOSO4Qwtl8cAPtOX+LQucsGJ3IvKqJFPFB8VDAT74kH4Oj5K+w4dtHgRAL2mVPeWn0KsA+9eXC0ViYUkaaZNTKZsGBfAN794jRVNXUGJ3IfKqJFPNTMEUlERwQC8P76sxov5wQ+2pLOldIqAB6bmEKbQF+DE4mIqwv09+aR8SkAXCmt5rOvNHd0c1ERLeKhfH28eGKKfbxcRXUd76w9pWEdBjqZWdwwJ3T/lHbc0y3K4EQi4i76d21Hn86RAHyxN5v0vBKDE7kHFdEiHqxLXBjjB9iHdRxOv8Ku4wUGJ/JMVTV1vLX6JABB/t48dm9XTCaTwalExF2YTCYenZCCv68XNhu8ufIk1bVaErypVESLeLj7RyUTFRYAwHvrz3BVS4K3uo+3nOdyiX0Yx6MTUwgN0jAOEWlebUP9+U79ok0FRRV8tDnd4ESuT0W0iIfz8/HiiandMQHlVXW8s/a0hnW0otNZxWzYnwNA3y6RDOoebXAiEXFXw3vFNAzr2LA/hxMZRQYncm0qokWElPgwxva3T4N06Nxldp/QsI7WUF1jaZiNI8jfm+9qGIeItCCTycTjk7o2rFz7t9UnqajSbB13S0W0iADw4KhOtAvzB+DdLzWsozV8vCWdwqv2xW4emZBCaLCW9haRlhUa7Md37+0KQFFpNe9v0CIsd0tFtIgA4OfrxfcndwfswzreXHkCq4Z1tJij56+wvn4YR5/OkQzuoWEcItI6BnSLYnBP+zln+9GLHDxzyeBErklFtIg06JYQ3rAIy4mMYtbsyjQ4kXu6WlbNmytPANAm0IfvTtIwDhFpXY9OSCG8jf3q19trT1FaXmNwItejIlpEbvDg6E4ktG8DwN+3XuBszlVjA7kZq9XG//v8BNcqagH44bQehGkYh4i0siB/H74/uRsApRW1/N+qE7qp3EEeVURbrVYWL17MpEmTSEtLY9SoUSxcuJCKiopW2V/EFXh7mXlyRk/8fb2w2my8/vdjlFXWGh3LbazelcnJzGIAJg3qSFpyW4MTiYinSk1uy5i+sQAcPHOZT7do2jtHeFQRvWDBAl588UU6d+7M/PnzmTRpEkuWLOHJJ5/EarW2+P4iriI6PJDvTrLfeHK5pIpFyw+qh6IZnM25yqfb7EvuJsWEcP/IZIMTiYine3hsZ+KjggFYvOoEZ7KvGhvIhXgbHaC1nD17lqVLlzJx4kQWLVrUsD0uLo7f/e53rFq1iunTp7fY/iKuZnCP9pzIKOarI/nsOJJPSmwoI3t3MDqWyyqrrOV/VxzHarMR4OfFj2b0xNvLo/oxRMQJ+fp48eOZqTy/eC9VNRb+/MlR/vN79xCiRZ/uyGPO4CtXrsRms/H444/fsH327NkEBASwYsWKFt1fxBU9Oj6FmLaBgH3au5zCMoMTuSabzcbiNae4UmqfNvDxSd0aVokUETFadEQg/zS9BwDF16r538+PY7Xq6uOdeExP9LFjxzCbzfTq1euG7X5+fnTr1o2jR4+26P7Xmc0mzObmvQvfq743y0u9Wo2i9mo8b28z8x7qzXNv7qa2zsrrnx3jN08MJMDPY04dDrvV8fXF3iwO1E8hNaZvLEPTYgzJ5oz09+gYtZdj1F6NNzg1hszCclZsO8+JjGJW7szg/lGdjI7l1Dzmm7CwsJDw8HB8fW++PBEdHc3Bgwepqam55ePNsf91ERFBLTaVVUiIerYcofZqnPDwIH44I5XXPz5C/pUK/t/Kk/zHE4PwauYfg+7m+vF16Ewh7315FoCO7dvw49l98Pf1mFNvo+nv0TFqL8eovRrne9N6cjqrmNOZxXz21QX6dm9Pv65RRsdyWh5zJq+srLxtgevnZ59eqqqq6rbPaer+1xUVlbdIT3RISAClpZVYLLrB8U7UXo7x8jIzeUgiJ9Ivs+VQHvtOFvC/nxxmzrguRkdzSt88vnIvlfHi23uxWm0E+nvzk1mpVJZXU1mu1SCv09+jY9RejlF7Nd71tvrJrDSefWMnZZW1/M/Sffz2B4NoG+pvdLxWFx4edMfneEwRHRAQwJUrV275WHW1/QvN3//2B0lT97/OarW12Dgji8VKXZ1OEo2l9mo8k8nEdyd1I/dyOedySli9M5OYiECGaVjCbZWWV/PHDw5RUVWH2WTiX2ak0i40QMfcbejv0TFqL8eovRovLNiXf5reg5eXH+ZaRS1/+OAQv36sn4bx3YLHDBKKioqiuLiYmpqbV+QpKCi47VCN5tpfxNX5eJt5alYabUO+XuHqXE6Jwamck8Vi5c+fHOVikX0O+e+M70LPpAiDU4mINE5acltmjkgCIOdSGa9/eow69eTfxGOK6NTUVKxWK0eOHLlhe3V1NadOnSI1NbVF9xdxByFBvvx/D/TCz8eLOouN1z45wpWSKqNjOZ3/+/w4x84XATC6TwfG9os1OJGIiGOmDU1kWFp7AI5dKGLpF2e0XsA/8JgiesqUKZhMJt5+++0bti9fvpzKysob5njOysoiPT39rvcXcWcdo9s0TIVUWlHLqx8foaqmzuBUzmPTgRw+33YegG4dw3hkQkqL3UwsItJSTCYTj0/qRveEcAC2Hs5jze4sg1M5F48port27cqjjz7KF198wVNPPcWHH37IwoULWbhwIQMHDryhCP7e977HlClT7np/EXfXL6Vdw2p72YVl/PWz47rUBxw9f4V31p4GICo8gB/PStOCKiLisry9zPxkViqxkfab7D7anM6ekwUGp3IeHjVK/NlnnyU2NpZly5axefNmwsPDeeyxx5g3bx5m852/6Jq6v4g7mTokgbzL5ew6UcCR9Cu8seI4T87oiZeH/i2czCjitU+OYqmfieNfH+5DcICP0bFERJok0N+Hpx/qxQvv7KekvIY3V54kLNiPlPgwo6MZzmTTAJdWdenStWZ/TW9vM+HhQRQXl+vu40ZQeznm29qrzmLltU+OciTdPnPN4J7R/HBqj2afxtHZnc25yh+WHaKm1oqvj5nf/vNQOoT76/hqBP09Okbt5Ri1V+Pdqa0yL15j4bsHqK61EOTvzS++05eO0W0MSNo62rW782fzzC4jEWkW1y/1XR8zt+t4Ae+sO+VRN59cyC/lT8sPU1NrxdvLzE8f6k3P5LZGxxIRaVYJ7dvwoxk9MZmgvKqO/37/IBkXS42OZSgV0SLSJD7eXsx7oBdd4kIB2Ho4n/fWn/WIQjqr4Bp/XHaIqhoLXmYTP5mVSqoKaBFxU306R/LP03tiNpnqC+lDnM/z3EJaRbSINJmfrxc/fag3STH2y18b9ufw0eZ0ty6kcy+X84dlhyivX0zlyRk96d050uhYIiItalCP6Pr7X0xUVtfxh2UHOZfrmWsGqIgWkWYR4OfNv87uQ3xUMABrdmfx3pdnW2yFTiNdyC/lv98/yLWKWkzAD6d1p3/XKKNjiYi0igHdonhyRmp9IW3hD8sOcSb7qtGxWp2KaBFpNsEBPvx8Th861E+HtOFADovcbB7pA2cu8dK7Bygtt69e+vjkbgzu2d7gVCIirat/13b8ZFYa3l4mqmss/Gn5YU5mFhsdq1WpiBaRZhUS6Mszj/aja/30R4fTr/DSuwcpvlZtbLAmstlsfLEniz9/cpSaOvtNhP8yM5WRvTsYHU1ExBB9ukTy1P298PYyU11r4Y/LDrHpYK5bD+X7JhXRItLsggN8+NnDfRjSMxqAzIJrvLBkHzmFZQYnuzsWq5WlX57hg43nsAFtAn345SN9uaebhnCIiGfr1aktTz/YCz9fLyxWG0vWnebttaep9YApBVVEi0iL8PE288NpPbhvWCIARaXVLFi6n2MXrhgbzEGV1XUs+vgomw7kAhDTNpB//+4AOseGGpxMRMQ59EyK4D++O4Do8ADAvkT4798/4PJXIO9ERbSItBiTycTMEcn8YGp3vMwmqmos/GnZYZZtPEttncXoeHd0Nucqz7+1t2ExmW4dw3h2bn+iwgIMTiYi4lxiI4OY//gAenWyT/OZnlvKb9/e69Yzd6iIFpEWNywthp893Icgf29swLo92fzmrb1cyHfO+UVr6yws23iWhUsPUHi1EoBhqe3rP4OW8hYRuZVAfx/mPdCLaUMTACgpq+Gldw+wamcGdRb3G96hIlpEWkX3hHB++4NBpNUvRpJ/pYIX3tnP37eed6qT64X8Un7z1l7W7cnGhn3qvh9O684TU7vj7aVTpojItzGbTdw/shM/npmKn499nPTHW87zm7f2cjrLvWbv8DY6gIh4jvA2fvz0oV5sO5LP+xvOUl1j4fMdGRw+d5nHJ3cjKSbEsGzVNRZW7cpg9c4srPV3lqcmR/D9yd0Jb+NnWC4REVc0oFsUHSKDWLz2FOdySsi7XM5L7x1keFoMD43pRJtAX6MjNpnJ5inzkDiJS5euNftrenubCQ8Pori4nDoPuBu2qdRejmmp9rp8tZK/rT7JqayrDdt6dWrL9KGJdGrFm/Yqq+vYeCCHdXuyKausBewrMM4Z25mRvTtgMpkcej0dX45RezlG7eUYtVfjtVRbWW02vjqSz4ebzlFeZV8zIMjfmwdGd2JYagw+3s55ha9duzZ3fI6K6FamItp4ai/HtGR7WW02NuzL4ZNt56mu+fpGw56J4UwflkRK/VzTLaG8qpYv92azfl8OFdVfLwbTPSGc70/uRuRd3jyo48sxai/HqL0co/ZqvJZuq9KKGj7ceI7txy42bAsJ9GFUn1hG9411uit+KqKdkIpo46m9HNMa7VVWWcsXe7PZsD+byuqvi+mU+DAG94imV6e2RIT4N/l96ixWzmZf5eC5y3x1JJ+qbxTu3TqGMX1oIt0Swh3uff4mHV+OUXs5Ru3lGLVX47VWW53KLGbpl2fIu1zesM3LbKJ/13aM7x9Pp9iQJp2Dm4uKaCekItp4ai/HtGZ7VVTVsn5fDl/uy2647Hddx6hgenWOpHfntiTFhGBu5Em2pLyGI+mXOZJ+heMXim4onAFSkyKYNjSx2Xq9dXw5Ru3lGLWXY9RejdeabWW12Th2vogN+3M4ev7GtQPahvjTJS6ULnGhdI4LIzYyCLO59YtqFdFOSEW08dRejjGiva6PU95x7CL5VypuzuRlJizYl7BgP0Lr/x0S5EtVTR0lZTWUlNdQUlbN1bKahnHO3+TrYyYtuS2TByWQ3KF5b2bU8eUYtZdj1F6OUXs1nlFtdbGogo37c/jqaP5NnRwAAX5epMSFMWd8F6LDA1stV2OKaM3OISJOJ8DPm6lDEpk6JJHC4goOp1/hyLnLnMq6isVqo85i5XJJFZdLqhr9mu3C/OnVKZLendrStWMYPt5eLfgJRESkMdpHBPLIhBRmjUxm3+lCzmRd5WxuCYXF9jn6K6stHE6/QrvwAB4Zn2Jw2hupiBYRpxYVHsiEAYFMGBBPZXUdJzKKuVhUztWyGq6WVXO1rLqh99nf14vQID/Cgn0JDfYlNMiPiBA/uieE0z4i0CnG2YmIyM0C/LwZ0asDI3p1AOxD8c7llHAu9yolZTWM7hNrcMKbqYgWEZcR4OdN/67tgHZGRxERkRYUGuRL/67t6s/5zsk5J+cTEREREXFiKqJFRERERBykIlpERERExEEqokVEREREHKQiWkRERETEQSqiRUREREQcpCJaRERERMRBKqJFRERERBykIlpERERExEEqokVEREREHKQiWkRERETEQSabzWYzOoSIiIiIiCtRT7SIiIiIiINURIuIiIiIOEhFtIiIiIiIg1REi4iIiIg4SEW0iIiIiIiDVESLiIiIiDhIRbSIiIiIiIO8jQ4gt2a1WnnnnXf44IMPyM3NJSIigsmTJzNv3jwCAwNbfH9X05TPe+HCBVasWMH27dvJysqiurqajh07MmnSJB5//HG11x1UVlYybdo0cnJyePTRR3nuuedaKLVxmqO9rl69yhtvvMH69eu5ePEiQUFBdOnShaeffpoBAwa08CdoXU1tr/LycpYsWcKqVavIycnB19eXpKQkZs+ezaxZszCZTK3wKVrHG2+8wfHjxzl+/Dg5OTnExsayceNGh1/n008/ZfHixZw/f57g4GDGjBnDz3/+cyIiIlogtXGa2l4FBQV8+umnbNu2jYyMDMrKyoiNjWXkyJH88z//M+Hh4S2YvvU11/F1ndVq5Tvf+Q6HDh1i9OjRvPHGG82Y1vWoiHZSCxYsYMmSJUyYMIEnnniC9PR0lixZwokTJ1i8eDFm87dfRGjq/q6mKZ/3448/5t1332Xs2LFMnz4db29vdu/ezcsvv8yaNWtYvnw5/v7+rfhpWl5zHh+vvvoqRUVFLZjWeE1tr9zcXObOnUtFRQUPPvggiYmJlJWVcfr0aQoKClrpU7SeprSX1Wrln/7pnzh48CAzZ87kscceo7KyklWrVvHrX/+a9PR0fvGLX7Tip2lZf/zjHwkLC6NHjx5cu3btrl5j8eLFvPjiiwwcOJB///d/5+LFiyxevJhDhw7x4YcfulVHQFPba+PGjSxatIjRo0fzgx/8gKCgII4cOcI777zD6tWr+eijj2jXrl0LJDdGcxxf3/Tee+9x5syZZkjmJmzidM6cOWPr2rWr7amnnrph+zvvvGNLSUmxrVixokX3dzVN/bxHjhyxlZaW3rT9j3/8oy0lJcW2ZMmSZs1rtOY8Po4dO2br3r277W9/+5stJSXF9vzzzzd3XMM1R3t95zvfsY0cOdJWUFDQUjGdRlPb68CBA7aUlBTbCy+8cMP26upq29ixY239+/dv9sxGysrKavjfU6dOtY0ZM8ah/a9cuWLr3bu37YEHHrDV1dU1bN+wYYMtJSXF9vrrrzdbVmfQ1PY6c+aMrbCw8Kbty5cvt6WkpNgWLlzY5IzOpKnt9U35+fm2vn37Npzv//mf/7k5Iro09+qOdBMrV67EZrPx+OOP37B99uzZBAQEsGLFihbd39U09fOmpaXRpk2bm7ZPmTIFwO1+dTfX8WGxWJg/fz4jRoxgwoQJLRHVKTS1vfbu3cv+/fv54Q9/SFRUFLW1tVRWVrZkZEM1tb3KysoAiIqKumG7r68v4eHhBAQENG9gg8XHxzdp/w0bNlBZWcljjz2Gl5dXw/axY8cSHx/vduf7prZXly5dbtnTPHnyZMD9zvdNba9vev7554mPj+e73/1us72mq9NwDid07NgxzGYzvXr1umG7n58f3bp14+jRoy26v6tpqc978eJFACIjI5uc0Zk0V3tdH3/56quvtkRMp9HU9tqyZQsAMTExPPnkk2zduhWLxUJiYiI//vGPmTFjRotlN0JT26tXr16EhITw5ptvEhsbS+/evamsrOTTTz/l+PHjPP/88y0Z3+Vcb8++ffve9Fjv3r1ZtWoV5eXlBAUFtXY0l3J9WJW7ne+by9q1a9m0aRMffPDBDT/WPJ16op1QYWEh4eHh+Pr63vRYdHQ0xcXF1NTUtNj+rqYlPq/FYuH111/H29ubadOmNVdUp9Ac7ZWdnc2iRYv48Y9/TFxcXEtFdQpNba8LFy4AMH/+fK5evcrChQtZsGABPj4+/PKXv+Tjjz9usexGaGp7hYaG8vrrrxMaGspPf/pTxowZw5QpU3j33XdZtGgRs2fPbsn4LqewsBCwt+0/io6OxmazNTxHbu96Z8DMmTONDeKErl27xu9+9zsefvhh+vTpY3Qcp6KeaCdUWVl5yy8gsPfmAFRVVd32OU3d39W0xOddsGABBw8e5Gc/+xnJycnNktNZNEd7/eY3vyE+Pp7vf//7LZLRmTS1vcrLywEICgrinXfeaXje+PHjGT9+PH/605+YNWuW29zs2xzHV2BgICkpKYwdO5Z+/fpx9epV3nvvPX7+85/zl7/8hWHDhrVIdld0fWjQrdrzm+0tt/e3v/2NtWvX8vDDDzNkyBCj4zid//7v/8Zms/Hzn//c6ChOxz3O2m4mICDgtj011dXVAN86W0RT93c1zf15X375ZZYuXcrDDz/Mj370o2bJ6Eya2l6fffYZ27dv5z//8z/x8fFpkYzOpKntdf2xqVOn3lDohIaGMnbsWC5dutTQW+0Omtpep0+fZs6cOQwdOpRf/epXTJgwgYceeoj33nuPyMhI5s+fj8ViaZHsruj6GPFbtbk7nu+b24cffsjvf/97Ro8ezfz5842O43T27dvH8uXL+dWvfkVISIjRcZyOimgnFBUVddtLngUFBbe9VNpc+7ua5vy8ixYt4vXXX+f+++9327GXTWmvmpoaFi5cyKhRo2jXrh2ZmZlkZmaSl5cH2C/7ZWZmUlpa2qKfoTU19fi6fpn9VjczXd9WUlLSTGmN19T2Wrx4MdXV1UyaNOmG7QEBAYwePZrc3Fxyc3ObPberun4D5q2mSiwoKMBkMt10k6bYffTRR8yfP59hw4axaNEij+gUcNRvf/tbunXrRu/evRvO95mZmYD9KkhmZqbbT3H6bVREO6HU1FSsVitHjhy5YXt1dTWnTp0iNTW1Rfd3Nc31eRctWsRrr73GrFmzeOGFF9xqQYdvakp7VVVVUVRUxObNm5k4cWLDP3PnzgVgxYoVTJw4kQ8//LBFP0Nraurxdf0Gu+s3qn7T9W1t27ZtprTGa2p7XR+/a7Vab3qsrq7uhn+LfXYhgIMHD9702OHDh0lKStJNhbfw0Ucf8R//8R8MHTqUv/zlL27VsdSc8vLyOHny5A3n+4kTJwKwe/duJk6cyGuvvWZwSuOoiHZCU6ZMwWQy8fbbb9+wffny5VRWVjJ9+vSGbVlZWaSnp9/1/u6gqe0F8Nprr/Haa68xY8YMFixY4DbjU2+lKe0VEBDAK6+8ctM///mf/wnAiBEjeOWVVxg7dmzrfJhW0NTja/z48QQFBbFixYqG8dFgLxY3bNhAYmIiCQkJLfshWlFT26tTp04AfPLJJzdsLy0tZcOGDYSGhrpVezkiLy+P9PR0amtrG7aNGzcOf39/3n333RuGuWzcuJHs7Gy3O9874lbtBfZja/78+QwePJi//OUvDWPHPd2t2uull1665TkfoGfPnrzyyis89NBDRkU2nMlms9mMDiE3+6//+i+WLl3KhAkTGDVqVMOKX/369ePtt99uKPLGjh1Lbm4up0+fvqv93UVT2uvdd9/lt7/9LR06dODpp5++qQc6MjLS7W5kaurx9Y9ycnIYN26c2y773dT2WrZsGc899xxdunThgQceoLa2lvfff59Lly7x17/+leHDhxvxsVpMU9orNzeX+++/n5KSEqZPn06/fv0oKSlh+fLl5Obm8txzz/Hoo48a9dGa3aefftowHGrp0qXU1tY23LDboUOHG2aLmDt3Lnv27GHDhg03zIrzt7/9jZdeeomBAwcybdo0CgoKeOutt2jfvj0fffSRW/VEN7W9NmzYwFNPPUVwcDC/+MUvbiqgg4KCGD9+fOt8mFbQHMfXrXTt2lXLfqPZOZzWs88+S2xsLMuWLWPz5s2Eh4fz2GOPMW/evEYVwE3d39U05fNen2c1Ly+PX/3qVzc9PnDgQLcroj3t+GiqprbXww8/THh4OG+++SavvPIKJpOJvn378j//8z/079+/FT5B62pKe8XGxvLhhx/y5z//mZ07d7J69Wr8/Pzo3r07zzzzTMOlZHfx8ccfs2fPnhu2Xe/pGzhwYKOmXHviiScICwtj8eLF/O53vyM4OJhJkybxb//2b25VQEPT2+vEiRNYrVZKS0tveSNhbGysWxXRzXF8ye2pJ1pERERExEHqchIRERERcZCKaBERERERB6mIFhERERFxkIpoEREREREHqYgWEREREXGQimgREREREQepiBYRERERcZCKaBERERERB6mIFhERERFxkIpoERFp8Omnn9K1a1c2b97cau9ps9mYOXMm06dPx2q1ttr7iog0hYpoEREPkJOTQ9euXZk7d+5tn1NdXc3LL79MWloao0ePbrVsJpOJn/zkJ5w5c4ZPPvmk1d5XRKQpVESLiAgA77//Pvn5+fzoRz9q9fceP348ycnJvPrqq9TV1bX6+4uIOEpFtIiIAPYiOiwsrFV7oa8zmUxMnz6dgoICNm7c2OrvLyLiKBXRIiJubtGiRYwbNw6APXv20LVr14Z/nnnmmYbtGRkZTJw4ER8fn5teY+zYsXTt2hWADz/8kOnTp9OrVy+GDRvGc889R2lp6U37lJeX88Ybb3DffffRv39/+vbty/jx45k3bx7btm276fnTp08HYPny5c322UVEWoq30QFERKRlde/enXvvvZd169YRGRnJiBEjGh7r378/AJs2bQJg4MCB3/pav//973nnnXcYNGgQCQkJHDhwgGXLlpGens7SpUsxmUwAWCwWvv/973P48GHCw8MZOHAgfn5+XLx4ka1btxIYGHhDDoD4+HhiYmLYtWsXVVVV+Pv7N2cziIg0KxXRIiJubvz48XTr1o1169aRnJzMwoULb3rO/v37AUhLS/vW11qxYgUrVqwgOTkZgKKiIubMmcO+ffvYtWsXQ4YMAWDv3r0cPnyYtLQ03n33Xfz8/Bpeo6ysjIyMjFu+fq9evVi3bh2HDh1i8ODBd/NxRURahYZziIgIp0+fxmw2k5CQ8K3Pe/rppxsKaICIiAjmzJkDwL59+xq2FxUVAdCvX78bCmiA4OBgUlNTb/n6SUlJAJw6dcrxDyEi0opURIuIeLjy8nKqqqoICQlpGI5xO8OGDbtpW2JiIgCXLl1q2Na9e3fMZjOffPIJy5cvp7i4uFFZwsLCgK+LcBERZ6UiWkTEw5WVlQEQFBR0x+e2b9/+pm3X96upqWnYlpSUxC9+8QuqqqqYP38+Q4cO5b777uPFF1/81l7m4OBggFveqCgi4kxURIuIeLjrhWt5efkdn2s2N/5r44knnuDLL7/kP/7jPxg1ahT5+fksXryYmTNn8vbbb99yn2vXrgEQEhLS6PcRETGCimgREQ8XFBSEv78/paWlzb7sdkxMDHPnzuWvf/0rO3fu5Pe//z1eXl7893//NyUlJTc9//q2iIiIZs0hItLcVESLiHiA63M/3241wG7dumG1WsnMzGyxDN7e3syYMYO0tDRqa2tv+V7nz59vyCMi4sxURIuIeIDw8HB8fHzIzs7GYrHc9Pj1+aKPHj3aLO+3a9cuduzYcVPPdnZ2Nunp6ZhMJqKjo2/a78iRI/j4+NCnT59mySEi0lI0T7SIiAfw9fVl+PDhbNq0iRkzZtCjRw98fHzo168fDzzwAKNHj+b//u//2LNnD/fdd1+T3+/UqVO8+OKLRERE0LNnT8LCwiguLmbPnj3U1NQwd+7cm4rorKwsLl68yIgRI7TQiog4PRXRIiIe4oUXXuCll15ix44drFy5EovFgsVi4YEHHmDgwIEkJibyxRdf8Nxzz+Hr69uk9xozZgxXr15l9+7dnDp1iqtXrxIREUH//v155JFHmDBhwk37fP755wDMnj27Se8tItIaTDabzWZ0CBERMd7bb7/NggULePXVV7n33ntb9b1tNhuTJ0+moqKCjRs34u2tPh4RcW4aEy0iIgDMmTOHDh068L//+7+t/t7r16/nwoULzJs3TwW0iLgEFdEiIgKAn58fTz/9NMeOHWPTpk2t9r42m40///nPpKSkcP/997fa+4qINIWGc4iIiIiIOEg90SIiIiIiDlIRLSIiIiLiIBXRIiIiIiIOUhEtIiIiIuIgFdEiIiIiIg5SES0iIiIi4iAV0SIiIiIiDlIRLSIiIiLiIBXRIiIiIiIO+v8BbxBm8+aucFoAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, figsize=(8, 8))\n", "system.table.mpl(ax=ax1, y=[\"average_u\"])\n", "system.table.mpl(ax=ax2, y=[\"mz\"])" ] }, { "cell_type": "markdown", "id": "c23f3f2b-a6af-4e33-a47b-130dc107c417", "metadata": {}, "source": [ "We can see that the magnetisation follows the sinusoidal modulation of the current. Now, let us visualise the motion using an interactive plot." ] }, { "cell_type": "code", "execution_count": 41, "id": "8a698196-4e79-420a-9cb2-94e9201b410a", "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/javascript": "(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n var py_version = '3.4.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n var reloading = false;\n var Bokeh = root.Bokeh;\n\n if (typeof (root._bokeh_timeout) === \"undefined\" || force) {\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_failed_load = false;\n }\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks;\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, js_modules, js_exports, callback) {\n if (css_urls == null) css_urls = [];\n 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\n", "" ] }, "metadata": { "application/vnd.holoviews_exec.v0+json": { "id": "p1002" } }, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "bd19716bef2648cf94436aa782de6a1a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "BokehModel(combine_events=True, render_bundle={'docs_json': {'97d04417-adce-49ba-9e69-636f6cbe5482': {'version…" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = micromagneticdata.Data(system.name)\n", "\n", "data[-1].hv(kdims=[\"x\", \"y\"])" ] }, { "cell_type": "markdown", "id": "13aeabc0-8dfc-4ea4-8719-82ea3bb0a95a", "metadata": {}, "source": [ "We repeat the same simulation with `Slonczewski` spin current. First we remove the `ZhangLi` term and reset the magnetisation" ] }, { "cell_type": "code", "execution_count": 42, "id": "be0019dc-ec17-4866-b180-bba027946334", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.dynamics -= mm.ZhangLi(u=ux, beta=beta, func=time_func, dt=1e-12)\n", "\n", "\n", "def m_value(pos):\n", " x, y, z = pos\n", " if x < 40e-9:\n", " return (0, 0, -1)\n", " else:\n", " return (0, 0, 1)\n", "\n", "\n", "system.m = df.Field(mesh, nvdim=3, value=m_value, norm=Ms)\n", "\n", "system.m.orientation.z.sel(\"z\").mpl.scalar(colorbar_label=\"$m_z$\", figsize=(15, 10))" ] }, { "cell_type": "markdown", "id": "067ef275-9efd-4771-a58f-4790d4253041", "metadata": {}, "source": [ "Now, we can relax the magnetisation." ] }, { "cell_type": "code", "execution_count": 43, "id": "d7cd6e6a-5306-4e89-837f-23b8682363c0", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (5.8 s)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "md = mc.MinDriver()\n", "md.drive(system)\n", "\n", "system.m.orientation.z.sel(\"z\").mpl.scalar(colorbar_label=\"$m_z$\", figsize=(15, 10))" ] }, { "cell_type": "markdown", "id": "2a3a5329-2378-49d3-b632-f3b641e2aa91", "metadata": {}, "source": [ "Then, we add the `Slonczewski` term." ] }, { "cell_type": "code", "execution_count": 44, "id": "046a87c4-3756-4619-9bce-5c718154ec09", "metadata": { "tags": [] }, "outputs": [], "source": [ "J = 2e12\n", "mp = (0, 0, -1)\n", "P = 0.8\n", "Lambda = 1\n", "\n", "\n", "def time_func(t):\n", " omega = 2 * np.pi / 1e-9\n", " return np.sin(omega * t)\n", "\n", "\n", "system.dynamics += mm.Slonczewski(\n", " J=J, mp=mp, P=P, Lambda=Lambda, func=time_func, dt=1e-12\n", ")" ] }, { "cell_type": "markdown", "id": "2e8c3128-12f4-4d1e-973a-86a3de58ba36", "metadata": {}, "source": [ "And drive the system for $1.5 \\,\\text{ns}$ ($1.5T$):" ] }, { "cell_type": "code", "execution_count": 45, "id": "dcaabb45-d263-4865-9eaf-5daafbcb216c", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:04]... (14.4 s)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "td = mc.TimeDriver()\n", "td.drive(system, t=1.5e-9, n=100)\n", "\n", "system.m.orientation.z.sel(\"z\").mpl.scalar(colorbar_label=\"$m_z$\", figsize=(15, 10))" ] }, { "cell_type": "markdown", "id": "c0f369bb-dd29-4def-8c41-db206662b44b", "metadata": {}, "source": [ "We can get more information about the movement by plotting the average magnetisation in z-direction as a function of time:" ] }, { "cell_type": "code", "execution_count": 46, "id": "f6131a41-2c91-4a7e-9e8f-545817b5b981", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, figsize=(8, 8))\n", "system.table.mpl(ax=ax1, y=[\"average_J\"])\n", "system.table.mpl(ax=ax2, y=[\"mz\"])" ] }, { "cell_type": "markdown", "id": "3da7178c-f475-4ef6-8bbe-b6fdc9f49437", "metadata": {}, "source": [ "We can see that the magnetisation follows the sinusoidal modulation of the current. Now, let us visualise the motion using an interactive plot." ] }, { "cell_type": "code", "execution_count": 47, "id": "dbcd44ce-b797-4f3a-bf00-4b4c4b2e16a0", "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4e4a2952da944400962306b3e20f1437", "version_major": 2, "version_minor": 0 }, "text/plain": [ "BokehModel(combine_events=True, render_bundle={'docs_json': {'0a2f2db0-f9c8-4efd-8a6e-4eca5f5b9e6c': {'version…" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = micromagneticdata.Data(system.name)\n", "\n", "data[-1].hv(kdims=[\"x\", \"y\"])" ] }, { "cell_type": "markdown", "id": "cec18872-1145-4d7e-be14-85bacfa5381a", "metadata": {}, "source": [ "### Tcl\n", "\n", "Custom `tcl` can be passed similar to the Zeeman field. The dictionary `tcl_strings` has to be passed to the energy term. It must contain the following keys (details on the OOMMF documentation pages):\n", "\n", "- `script`: the script for time-dependence\n", "- `script_args`: arguments passed to the `script`\n", "- `script_name`: name of the `script`" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "251b3e410a3a40078c208b2548e80d12": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_2b795b214318480e8a97acd269ecaa3a", "IPY_MODEL_2e8ad8b2ee8048e7931fdedd63911923" ], "layout": 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\n", 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\n", 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